d | ρ | Label | ID | ||
---|---|---|---|---|---|
C22×C4×He3 | 144 | C2^2xC4xHe3 | 432,401 |
extension | φ:Q→Aut N | d | ρ | Label | ID |
---|---|---|---|---|---|
(C2×C4)⋊1(C2×He3) = C22⋊C4×He3 | φ: C2×He3/He3 → C2 ⊆ Aut C2×C4 | 72 | (C2xC4):1(C2xHe3) | 432,204 | |
(C2×C4)⋊2(C2×He3) = C2×D4×He3 | φ: C2×He3/He3 → C2 ⊆ Aut C2×C4 | 72 | (C2xC4):2(C2xHe3) | 432,404 | |
(C2×C4)⋊3(C2×He3) = C4○D4×He3 | φ: C2×He3/He3 → C2 ⊆ Aut C2×C4 | 72 | 6 | (C2xC4):3(C2xHe3) | 432,410 |
extension | φ:Q→Aut N | d | ρ | Label | ID |
---|---|---|---|---|---|
(C2×C4).1(C2×He3) = C4⋊C4×He3 | φ: C2×He3/He3 → C2 ⊆ Aut C2×C4 | 144 | (C2xC4).1(C2xHe3) | 432,207 | |
(C2×C4).2(C2×He3) = M4(2)×He3 | φ: C2×He3/He3 → C2 ⊆ Aut C2×C4 | 72 | 6 | (C2xC4).2(C2xHe3) | 432,213 |
(C2×C4).3(C2×He3) = C2×Q8×He3 | φ: C2×He3/He3 → C2 ⊆ Aut C2×C4 | 144 | (C2xC4).3(C2xHe3) | 432,407 | |
(C2×C4).4(C2×He3) = C42×He3 | central extension (φ=1) | 144 | (C2xC4).4(C2xHe3) | 432,201 | |
(C2×C4).5(C2×He3) = C2×C8×He3 | central extension (φ=1) | 144 | (C2xC4).5(C2xHe3) | 432,210 |