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Extensions 1→N→G→Q→1 with N=C26 and Q=C2×C8

Direct product G=N×Q with N=C26 and Q=C2×C8
dρLabelID
C22×C104416C2^2xC104416,190

Semidirect products G=N:Q with N=C26 and Q=C2×C8
extensionφ:Q→Aut NdρLabelID
C26⋊1(C2×C8) = C2×D13⋊C8φ: C2×C8/C4 → C4 ⊆ Aut C26208C26:1(C2xC8)416,199
C26⋊2(C2×C8) = C22×C13⋊C8φ: C2×C8/C22 → C4 ⊆ Aut C26416C26:2(C2xC8)416,209
C26⋊3(C2×C8) = C2×C8×D13φ: C2×C8/C8 → C2 ⊆ Aut C26208C26:3(C2xC8)416,120
C26⋊4(C2×C8) = C22×C13⋊2C8φ: C2×C8/C2×C4 → C2 ⊆ Aut C26416C26:4(C2xC8)416,141

Non-split extensions G=N.Q with N=C26 and Q=C2×C8
extensionφ:Q→Aut NdρLabelID
C26.1(C2×C8) = D13⋊C16φ: C2×C8/C4 → C4 ⊆ Aut C262084C26.1(C2xC8)416,64
C26.2(C2×C8) = D26.C8φ: C2×C8/C4 → C4 ⊆ Aut C262084C26.2(C2xC8)416,65
C26.3(C2×C8) = D26⋊C8φ: C2×C8/C4 → C4 ⊆ Aut C26208C26.3(C2xC8)416,78
C26.4(C2×C8) = Dic13⋊C8φ: C2×C8/C4 → C4 ⊆ Aut C26416C26.4(C2xC8)416,79
C26.5(C2×C8) = C2×C13⋊C16φ: C2×C8/C22 → C4 ⊆ Aut C26416C26.5(C2xC8)416,72
C26.6(C2×C8) = C52.C8φ: C2×C8/C22 → C4 ⊆ Aut C262084C26.6(C2xC8)416,73
C26.7(C2×C8) = C4×C13⋊C8φ: C2×C8/C22 → C4 ⊆ Aut C26416C26.7(C2xC8)416,75
C26.8(C2×C8) = C52⋊C8φ: C2×C8/C22 → C4 ⊆ Aut C26416C26.8(C2xC8)416,76
C26.9(C2×C8) = C26.M4(2)φ: C2×C8/C22 → C4 ⊆ Aut C26208C26.9(C2xC8)416,87
C26.10(C2×C8) = C16×D13φ: C2×C8/C8 → C2 ⊆ Aut C262082C26.10(C2xC8)416,4
C26.11(C2×C8) = C208⋊C2φ: C2×C8/C8 → C2 ⊆ Aut C262082C26.11(C2xC8)416,5
C26.12(C2×C8) = C8×Dic13φ: C2×C8/C8 → C2 ⊆ Aut C26416C26.12(C2xC8)416,20
C26.13(C2×C8) = C52.8Q8φ: C2×C8/C8 → C2 ⊆ Aut C26416C26.13(C2xC8)416,21
C26.14(C2×C8) = D26⋊1C8φ: C2×C8/C8 → C2 ⊆ Aut C26208C26.14(C2xC8)416,27
C26.15(C2×C8) = C4×C13⋊2C8φ: C2×C8/C2×C4 → C2 ⊆ Aut C26416C26.15(C2xC8)416,9
C26.16(C2×C8) = C52⋊3C8φ: C2×C8/C2×C4 → C2 ⊆ Aut C26416C26.16(C2xC8)416,11
C26.17(C2×C8) = C2×C13⋊2C16φ: C2×C8/C2×C4 → C2 ⊆ Aut C26416C26.17(C2xC8)416,18
C26.18(C2×C8) = C52.4C8φ: C2×C8/C2×C4 → C2 ⊆ Aut C262082C26.18(C2xC8)416,19
C26.19(C2×C8) = C52.55D4φ: C2×C8/C2×C4 → C2 ⊆ Aut C26208C26.19(C2xC8)416,37
C26.20(C2×C8) = C13×C22⋊C8central extension (φ=1)208C26.20(C2xC8)416,48
C26.21(C2×C8) = C13×C4⋊C8central extension (φ=1)416C26.21(C2xC8)416,55
C26.22(C2×C8) = C13×M5(2)central extension (φ=1)2082C26.22(C2xC8)416,60

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