Extensions 1→N→G→Q→1 with N=C7 and Q=C23.83C23

Direct product G=N×Q with N=C7 and Q=C23.83C23
dρLabelID
C7×C23.83C23448C7xC2^3.83C2^3448,808

Semidirect products G=N:Q with N=C7 and Q=C23.83C23
extensionφ:Q→Aut NdρLabelID
C71(C23.83C23) = (C2×Dic7).Q8φ: C23.83C23/C2.C42C2 ⊆ Aut C7448C7:1(C2^3.83C2^3)448,192
C72(C23.83C23) = (C2×C28).28D4φ: C23.83C23/C2.C42C2 ⊆ Aut C7448C7:2(C2^3.83C2^3)448,193
C73(C23.83C23) = (C2×C4).Dic14φ: C23.83C23/C2.C42C2 ⊆ Aut C7448C7:3(C2^3.83C2^3)448,194
C74(C23.83C23) = (C2×C28).288D4φ: C23.83C23/C2×C4⋊C4C2 ⊆ Aut C7448C7:4(C2^3.83C2^3)448,516
C75(C23.83C23) = (C2×C28).55D4φ: C23.83C23/C2×C4⋊C4C2 ⊆ Aut C7448C7:5(C2^3.83C2^3)448,520


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