Extensions 1→N→G→Q→1 with N=C₂₈ and Q=C₂×C₈

Direct product G=N×Q with N=C₂₈ and Q=C₂×C₈

		d	ρ	Label	ID
C₂×C₄×C₅₆		448		C2xC4xC56	448,810

Semidirect products G=N:Q with N=C₂₈ and Q=C₂×C₈

extension	φ:Q→Aut N	d	Label	ID
C₂₈⋊₁(C₂×C₈) = D₇×C₄⋊C₈	φ: C₂×C₈/C₄ → C₂² ⊆ Aut C₂₈	224	C28:1(C2xC8)	448,366
C₂₈⋊₂(C₂×C₈) = D₂₈⋊C₈	φ: C₂×C₈/C₄ → C₂² ⊆ Aut C₂₈	224	C28:2(C2xC8)	448,368
C₂₈⋊₃(C₂×C₈) = D₄×C₇⋊C₈	φ: C₂×C₈/C₄ → C₂² ⊆ Aut C₂₈	224	C28:3(C2xC8)	448,544
C₂₈⋊₄(C₂×C₈) = C₈×D₂₈	φ: C₂×C₈/C₈ → C₂ ⊆ Aut C₂₈	224	C28:4(C2xC8)	448,220
C₂₈⋊₅(C₂×C₈) = D₇×C₄×C₈	φ: C₂×C₈/C₈ → C₂ ⊆ Aut C₂₈	224	C28:5(C2xC8)	448,218
C₂₈⋊₆(C₂×C₈) = D₄×C₅₆	φ: C₂×C₈/C₈ → C₂ ⊆ Aut C₂₈	224	C28:6(C2xC8)	448,842
C₂₈⋊₇(C₂×C₈) = C₂×C₂₈⋊C₈	φ: C₂×C₈/C₂×C₄ → C₂ ⊆ Aut C₂₈	448	C28:7(C2xC8)	448,457
C₂₈⋊₈(C₂×C₈) = C₂×C₄×C₇⋊C₈	φ: C₂×C₈/C₂×C₄ → C₂ ⊆ Aut C₂₈	448	C28:8(C2xC8)	448,454
C₂₈⋊₉(C₂×C₈) = C₁₄×C₄⋊C₈	φ: C₂×C₈/C₂×C₄ → C₂ ⊆ Aut C₂₈	448	C28:9(C2xC8)	448,830

Non-split extensions G=N.Q with N=C₂₈ and Q=C₂×C₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂₈.₁(C₂×C₈) = C₂₈.₅₃D₈	φ: C₂×C₈/C₄ → C₂² ⊆ Aut C₂₈	448		C28.1(C2xC8)	448,36
C₂₈.₂(C₂×C₈) = C₂₈.₃₉SD₁₆	φ: C₂×C₈/C₄ → C₂² ⊆ Aut C₂₈	448		C28.2(C2xC8)	448,37
C₂₈.₃(C₂×C₈) = D₂₈⋊₂C₈	φ: C₂×C₈/C₄ → C₂² ⊆ Aut C₂₈	224		C28.3(C2xC8)	448,40
C₂₈.₄(C₂×C₈) = Dic₁₄⋊₂C₈	φ: C₂×C₈/C₄ → C₂² ⊆ Aut C₂₈	448		C28.4(C2xC8)	448,41
C₂₈.₅(C₂×C₈) = C₅₆.₉Q₈	φ: C₂×C₈/C₄ → C₂² ⊆ Aut C₂₈	112	4	C28.5(C2xC8)	448,68
C₂₈.₆(C₂×C₈) = Dic₁₄.C₈	φ: C₂×C₈/C₄ → C₂² ⊆ Aut C₂₈	224	4	C28.6(C2xC8)	448,72
C₂₈.₇(C₂×C₈) = C₂₈.₅₇D₈	φ: C₂×C₈/C₄ → C₂² ⊆ Aut C₂₈	224		C28.7(C2xC8)	448,91
C₂₈.₈(C₂×C₈) = C₂₈.₂₆Q₁₆	φ: C₂×C₈/C₄ → C₂² ⊆ Aut C₂₈	448		C28.8(C2xC8)	448,92
C₂₈.₉(C₂×C₈) = C₅₆.₉₂D₄	φ: C₂×C₈/C₄ → C₂² ⊆ Aut C₂₈	224	4	C28.9(C2xC8)	448,118
C₂₈.₁₀(C₂×C₈) = Dic₁₄⋊C₈	φ: C₂×C₈/C₄ → C₂² ⊆ Aut C₂₈	448		C28.10(C2xC8)	448,364
C₂₈.₁₁(C₂×C₈) = C₄².₂₀₀D₁₄	φ: C₂×C₈/C₄ → C₂² ⊆ Aut C₂₈	224		C28.11(C2xC8)	448,367
C₂₈.₁₂(C₂×C₈) = D₇×M₅(2)	φ: C₂×C₈/C₄ → C₂² ⊆ Aut C₂₈	112	4	C28.12(C2xC8)	448,440
C₂₈.₁₃(C₂×C₈) = C₁₆.₁₂D₁₄	φ: C₂×C₈/C₄ → C₂² ⊆ Aut C₂₈	224	4	C28.13(C2xC8)	448,441
C₂₈.₁₄(C₂×C₈) = Q₈×C₇⋊C₈	φ: C₂×C₈/C₄ → C₂² ⊆ Aut C₂₈	448		C28.14(C2xC8)	448,557
C₂₈.₁₅(C₂×C₈) = C₅₆.₇₀C₂³	φ: C₂×C₈/C₄ → C₂² ⊆ Aut C₂₈	224	4	C28.15(C2xC8)	448,674
C₂₈.₁₆(C₂×C₈) = C₄.₈Dic₂₈	φ: C₂×C₈/C₈ → C₂ ⊆ Aut C₂₈	448		C28.16(C2xC8)	448,13
C₂₈.₁₇(C₂×C₈) = C₄.₁₇D₅₆	φ: C₂×C₈/C₈ → C₂ ⊆ Aut C₂₈	224		C28.17(C2xC8)	448,16
C₂₈.₁₈(C₂×C₈) = D₂₈.C₈	φ: C₂×C₈/C₈ → C₂ ⊆ Aut C₂₈	224	2	C28.18(C2xC8)	448,65
C₂₈.₁₉(C₂×C₈) = C₈×Dic₁₄	φ: C₂×C₈/C₈ → C₂ ⊆ Aut C₂₈	448		C28.19(C2xC8)	448,212
C₂₈.₂₀(C₂×C₈) = D₂₈.₄C₈	φ: C₂×C₈/C₈ → C₂ ⊆ Aut C₂₈	224	2	C28.20(C2xC8)	448,435
C₂₈.₂₁(C₂×C₈) = D₇×C₃₂	φ: C₂×C₈/C₈ → C₂ ⊆ Aut C₂₈	224	2	C28.21(C2xC8)	448,3
C₂₈.₂₂(C₂×C₈) = C₃₂⋊D₇	φ: C₂×C₈/C₈ → C₂ ⊆ Aut C₂₈	224	2	C28.22(C2xC8)	448,4
C₂₈.₂₃(C₂×C₈) = C₈×C₇⋊C₈	φ: C₂×C₈/C₈ → C₂ ⊆ Aut C₂₈	448		C28.23(C2xC8)	448,10
C₂₈.₂₄(C₂×C₈) = C₄².₂₇₉D₁₄	φ: C₂×C₈/C₈ → C₂ ⊆ Aut C₂₈	448		C28.24(C2xC8)	448,11
C₂₈.₂₅(C₂×C₈) = C₁₆×Dic₇	φ: C₂×C₈/C₈ → C₂ ⊆ Aut C₂₈	448		C28.25(C2xC8)	448,57
C₂₈.₂₆(C₂×C₈) = C₁₁₂⋊₉C₄	φ: C₂×C₈/C₈ → C₂ ⊆ Aut C₂₈	448		C28.26(C2xC8)	448,59
C₂₈.₂₇(C₂×C₈) = C₄².₂₈₂D₁₄	φ: C₂×C₈/C₈ → C₂ ⊆ Aut C₂₈	224		C28.27(C2xC8)	448,219
C₂₈.₂₈(C₂×C₈) = D₇×C₂×C₁₆	φ: C₂×C₈/C₈ → C₂ ⊆ Aut C₂₈	224		C28.28(C2xC8)	448,433
C₂₈.₂₉(C₂×C₈) = C₂×C₁₆⋊D₇	φ: C₂×C₈/C₈ → C₂ ⊆ Aut C₂₈	224		C28.29(C2xC8)	448,434
C₂₈.₃₀(C₂×C₈) = C₇×D₄⋊C₈	φ: C₂×C₈/C₈ → C₂ ⊆ Aut C₂₈	224		C28.30(C2xC8)	448,129
C₂₈.₃₁(C₂×C₈) = C₇×Q₈⋊C₈	φ: C₂×C₈/C₈ → C₂ ⊆ Aut C₂₈	448		C28.31(C2xC8)	448,130
C₂₈.₃₂(C₂×C₈) = C₇×D₄.C₈	φ: C₂×C₈/C₈ → C₂ ⊆ Aut C₂₈	224	2	C28.32(C2xC8)	448,154
C₂₈.₃₃(C₂×C₈) = Q₈×C₅₆	φ: C₂×C₈/C₈ → C₂ ⊆ Aut C₂₈	448		C28.33(C2xC8)	448,853
C₂₈.₃₄(C₂×C₈) = C₇×D₄○C₁₆	φ: C₂×C₈/C₈ → C₂ ⊆ Aut C₂₈	224	2	C28.34(C2xC8)	448,912
C₂₈.₃₅(C₂×C₈) = C₅₆⋊₂C₈	φ: C₂×C₈/C₂×C₄ → C₂ ⊆ Aut C₂₈	448		C28.35(C2xC8)	448,14
C₂₈.₃₆(C₂×C₈) = C₅₆⋊₁C₈	φ: C₂×C₈/C₂×C₄ → C₂ ⊆ Aut C₂₈	448		C28.36(C2xC8)	448,15
C₂₈.₃₇(C₂×C₈) = C₅₆.₁₆Q₈	φ: C₂×C₈/C₂×C₄ → C₂ ⊆ Aut C₂₈	112	2	C28.37(C2xC8)	448,20
C₂₈.₃₈(C₂×C₈) = C₄².₆Dic₇	φ: C₂×C₈/C₂×C₄ → C₂ ⊆ Aut C₂₈	224		C28.38(C2xC8)	448,459
C₂₈.₃₉(C₂×C₈) = C₅₆⋊C₈	φ: C₂×C₈/C₂×C₄ → C₂ ⊆ Aut C₂₈	448		C28.39(C2xC8)	448,12
C₂₈.₄₀(C₂×C₈) = C₄×C₇⋊C₁₆	φ: C₂×C₈/C₂×C₄ → C₂ ⊆ Aut C₂₈	448		C28.40(C2xC8)	448,17
C₂₈.₄₁(C₂×C₈) = C₅₆.C₈	φ: C₂×C₈/C₂×C₄ → C₂ ⊆ Aut C₂₈	448		C28.41(C2xC8)	448,18
C₂₈.₄₂(C₂×C₈) = C₂×C₇⋊C₃₂	φ: C₂×C₈/C₂×C₄ → C₂ ⊆ Aut C₂₈	448		C28.42(C2xC8)	448,55
C₂₈.₄₃(C₂×C₈) = C₇⋊M₆(2)	φ: C₂×C₈/C₂×C₄ → C₂ ⊆ Aut C₂₈	224	2	C28.43(C2xC8)	448,56
C₂₈.₄₄(C₂×C₈) = C₂²×C₇⋊C₁₆	φ: C₂×C₈/C₂×C₄ → C₂ ⊆ Aut C₂₈	448		C28.44(C2xC8)	448,630
C₂₈.₄₅(C₂×C₈) = C₂×C₂₈.C₈	φ: C₂×C₈/C₂×C₄ → C₂ ⊆ Aut C₂₈	224		C28.45(C2xC8)	448,631
C₂₈.₄₆(C₂×C₈) = C₇×C₈⋊₂C₈	φ: C₂×C₈/C₂×C₄ → C₂ ⊆ Aut C₂₈	448		C28.46(C2xC8)	448,138
C₂₈.₄₇(C₂×C₈) = C₇×C₈⋊₁C₈	φ: C₂×C₈/C₂×C₄ → C₂ ⊆ Aut C₂₈	448		C28.47(C2xC8)	448,139
C₂₈.₄₈(C₂×C₈) = C₇×C₈.C₈	φ: C₂×C₈/C₂×C₄ → C₂ ⊆ Aut C₂₈	112	2	C28.48(C2xC8)	448,168
C₂₈.₄₉(C₂×C₈) = C₇×C₄².₁₂C₄	φ: C₂×C₈/C₂×C₄ → C₂ ⊆ Aut C₂₈	224		C28.49(C2xC8)	448,839
C₂₈.₅₀(C₂×C₈) = C₁₄×M₅(2)	φ: C₂×C₈/C₂×C₄ → C₂ ⊆ Aut C₂₈	224		C28.50(C2xC8)	448,911
C₂₈.₅₁(C₂×C₈) = C₇×C₈⋊C₈	central extension (φ=1)	448		C28.51(C2xC8)	448,126
C₂₈.₅₂(C₂×C₈) = C₇×C₁₆⋊₅C₄	central extension (φ=1)	448		C28.52(C2xC8)	448,150
C₂₈.₅₃(C₂×C₈) = C₇×M₆(2)	central extension (φ=1)	224	2	C28.53(C2xC8)	448,174

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Extensions 1→N→G→Q→1 with N=C28 and Q=C2×C8

Extensions 1→N→G→Q→1 with N=C₂₈ and Q=C₂×C₈