Extensions 1→N→G→Q→1 with N=Dic5 and Q=C2×C8

Direct product G=N×Q with N=Dic5 and Q=C2×C8
dρLabelID
C2×C8×Dic5320C2xC8xDic5320,725

Semidirect products G=N:Q with N=Dic5 and Q=C2×C8
extensionφ:Q→Out NdρLabelID
Dic5⋊(C2×C8) = C5⋊C88D4φ: C2×C8/C4C22 ⊆ Out Dic5160Dic5:(C2xC8)320,1030
Dic52(C2×C8) = C55(C8×D4)φ: C2×C8/C8C2 ⊆ Out Dic5160Dic5:2(C2xC8)320,352
Dic53(C2×C8) = C8×C5⋊D4φ: C2×C8/C8C2 ⊆ Out Dic5160Dic5:3(C2xC8)320,736
Dic54(C2×C8) = D5×C4⋊C8φ: C2×C8/C2×C4C2 ⊆ Out Dic5160Dic5:4(C2xC8)320,459
Dic55(C2×C8) = C2×C20.8Q8φ: C2×C8/C2×C4C2 ⊆ Out Dic5320Dic5:5(C2xC8)320,726
Dic56(C2×C8) = C4×D5⋊C8φ: C2×C8/C2×C4C2 ⊆ Out Dic5160Dic5:6(C2xC8)320,1013
Dic57(C2×C8) = C42.11F5φ: C2×C8/C2×C4C2 ⊆ Out Dic5160Dic5:7(C2xC8)320,1017
Dic58(C2×C8) = C2×C4×C5⋊C8φ: C2×C8/C2×C4C2 ⊆ Out Dic5320Dic5:8(C2xC8)320,1084
Dic59(C2×C8) = C2×Dic5⋊C8φ: C2×C8/C2×C4C2 ⊆ Out Dic5320Dic5:9(C2xC8)320,1090
Dic510(C2×C8) = D5×C4×C8φ: trivial image160Dic5:10(C2xC8)320,311

Non-split extensions G=N.Q with N=Dic5 and Q=C2×C8
extensionφ:Q→Out NdρLabelID
Dic5.1(C2×C8) = Dic10⋊C8φ: C2×C8/C4C22 ⊆ Out Dic5320Dic5.1(C2xC8)320,1041
Dic5.2(C2×C8) = Dic10.C8φ: C2×C8/C4C22 ⊆ Out Dic51608Dic5.2(C2xC8)320,1063
Dic5.3(C2×C8) = C8×Dic10φ: C2×C8/C8C2 ⊆ Out Dic5320Dic5.3(C2xC8)320,305
Dic5.4(C2×C8) = Dic105C8φ: C2×C8/C8C2 ⊆ Out Dic5320Dic5.4(C2xC8)320,457
Dic5.5(C2×C8) = D20.6C8φ: C2×C8/C8C2 ⊆ Out Dic51602Dic5.5(C2xC8)320,528
Dic5.6(C2×C8) = D20.5C8φ: C2×C8/C8C2 ⊆ Out Dic51604Dic5.6(C2xC8)320,534
Dic5.7(C2×C8) = C16×F5φ: C2×C8/C8C2 ⊆ Out Dic5804Dic5.7(C2xC8)320,181
Dic5.8(C2×C8) = C167F5φ: C2×C8/C8C2 ⊆ Out Dic5804Dic5.8(C2xC8)320,182
Dic5.9(C2×C8) = C8×C5⋊C8φ: C2×C8/C8C2 ⊆ Out Dic5320Dic5.9(C2xC8)320,216
Dic5.10(C2×C8) = C20.31M4(2)φ: C2×C8/C8C2 ⊆ Out Dic5320Dic5.10(C2xC8)320,218
Dic5.11(C2×C8) = C42.282D10φ: C2×C8/C2×C4C2 ⊆ Out Dic5160Dic5.11(C2xC8)320,312
Dic5.12(C2×C8) = C2×C80⋊C2φ: C2×C8/C2×C4C2 ⊆ Out Dic5160Dic5.12(C2xC8)320,527
Dic5.13(C2×C8) = D5×M5(2)φ: C2×C8/C2×C4C2 ⊆ Out Dic5804Dic5.13(C2xC8)320,533
Dic5.14(C2×C8) = C42.6F5φ: C2×C8/C2×C4C2 ⊆ Out Dic5160Dic5.14(C2xC8)320,1016
Dic5.15(C2×C8) = C42.12F5φ: C2×C8/C2×C4C2 ⊆ Out Dic5160Dic5.15(C2xC8)320,1018
Dic5.16(C2×C8) = C2×D5⋊C16φ: C2×C8/C2×C4C2 ⊆ Out Dic5160Dic5.16(C2xC8)320,1051
Dic5.17(C2×C8) = C2×C8.F5φ: C2×C8/C2×C4C2 ⊆ Out Dic5160Dic5.17(C2xC8)320,1052
Dic5.18(C2×C8) = D5⋊M5(2)φ: C2×C8/C2×C4C2 ⊆ Out Dic5804Dic5.18(C2xC8)320,1053
Dic5.19(C2×C8) = C20.34M4(2)φ: C2×C8/C2×C4C2 ⊆ Out Dic5160Dic5.19(C2xC8)320,1092
Dic5.20(C2×C8) = Dic5.14M4(2)φ: trivial image160Dic5.20(C2xC8)320,345
Dic5.21(C2×C8) = C42.200D10φ: trivial image160Dic5.21(C2xC8)320,460
Dic5.22(C2×C8) = D5×C2×C16φ: trivial image160Dic5.22(C2xC8)320,526

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