Home
About
Cn
Dn
Sn
An
Degree
Linear
Irr Reps
Characters
×
⋊
.
○
≀

Extensions 1→N→G→Q→1 with N=C15 and Q=C2×M4(2)

Direct product G=N×Q with N=C15 and Q=C2×M4(2)
dρLabelID
M4(2)×C30240M4(2)xC30480,935

Semidirect products G=N:Q with N=C15 and Q=C2×M4(2)
extensionφ:Q→Aut NdρLabelID
C15⋊1(C2×M4(2)) = S3×C4.F5φ: C2×M4(2)/C4 → C2×C4 ⊆ Aut C151208C15:1(C2xM4(2))480,988
C15⋊2(C2×M4(2)) = D15⋊M4(2)φ: C2×M4(2)/C4 → C2×C4 ⊆ Aut C151208C15:2(C2xM4(2))480,991
C15⋊3(C2×M4(2)) = C5⋊C8⋊D6φ: C2×M4(2)/C4 → C2×C4 ⊆ Aut C151208C15:3(C2xM4(2))480,993
C15⋊4(C2×M4(2)) = S3×C22.F5φ: C2×M4(2)/C22 → C2×C4 ⊆ Aut C151208-C15:4(C2xM4(2))480,1004
C15⋊5(C2×M4(2)) = D15⋊2M4(2)φ: C2×M4(2)/C22 → C2×C4 ⊆ Aut C151208+C15:5(C2xM4(2))480,1007
C15⋊6(C2×M4(2)) = C2×D6.F5φ: C2×M4(2)/C22 → C2×C4 ⊆ Aut C15240C15:6(C2xM4(2))480,1008
C15⋊7(C2×M4(2)) = C2×Dic3.F5φ: C2×M4(2)/C22 → C2×C4 ⊆ Aut C15240C15:7(C2xM4(2))480,1009
C15⋊8(C2×M4(2)) = D5×C8⋊S3φ: C2×M4(2)/C8 → C22 ⊆ Aut C151204C15:8(C2xM4(2))480,320
C15⋊9(C2×M4(2)) = S3×C8⋊D5φ: C2×M4(2)/C8 → C22 ⊆ Aut C151204C15:9(C2xM4(2))480,321
C15⋊10(C2×M4(2)) = C40⋊D6φ: C2×M4(2)/C8 → C22 ⊆ Aut C151204C15:10(C2xM4(2))480,322
C15⋊11(C2×M4(2)) = C2×C12.F5φ: C2×M4(2)/C2×C4 → C4 ⊆ Aut C15240C15:11(C2xM4(2))480,1061
C15⋊12(C2×M4(2)) = C60.59(C2×C4)φ: C2×M4(2)/C2×C4 → C4 ⊆ Aut C151204C15:12(C2xM4(2))480,1062
C15⋊13(C2×M4(2)) = C6×C4.F5φ: C2×M4(2)/C2×C4 → C4 ⊆ Aut C15240C15:13(C2xM4(2))480,1048
C15⋊14(C2×M4(2)) = C3×D5⋊M4(2)φ: C2×M4(2)/C2×C4 → C4 ⊆ Aut C151204C15:14(C2xM4(2))480,1049
C15⋊15(C2×M4(2)) = D5×C4.Dic3φ: C2×M4(2)/C2×C4 → C22 ⊆ Aut C151204C15:15(C2xM4(2))480,358
C15⋊16(C2×M4(2)) = S3×C4.Dic5φ: C2×M4(2)/C2×C4 → C22 ⊆ Aut C151204C15:16(C2xM4(2))480,363
C15⋊17(C2×M4(2)) = D15⋊4M4(2)φ: C2×M4(2)/C2×C4 → C22 ⊆ Aut C151204C15:17(C2xM4(2))480,368
C15⋊18(C2×M4(2)) = C2×C20.32D6φ: C2×M4(2)/C2×C4 → C22 ⊆ Aut C15240C15:18(C2xM4(2))480,369
C15⋊19(C2×M4(2)) = C2×D6.Dic5φ: C2×M4(2)/C2×C4 → C22 ⊆ Aut C15240C15:19(C2xM4(2))480,370
C15⋊20(C2×M4(2)) = C2×D30.5C4φ: C2×M4(2)/C2×C4 → C22 ⊆ Aut C15240C15:20(C2xM4(2))480,371
C15⋊21(C2×M4(2)) = C2×C15⋊8M4(2)φ: C2×M4(2)/C23 → C4 ⊆ Aut C15240C15:21(C2xM4(2))480,1071
C15⋊22(C2×M4(2)) = C6×C22.F5φ: C2×M4(2)/C23 → C4 ⊆ Aut C15240C15:22(C2xM4(2))480,1058
C15⋊23(C2×M4(2)) = C2×C40⋊S3φ: C2×M4(2)/C2×C8 → C2 ⊆ Aut C15240C15:23(C2xM4(2))480,865
C15⋊24(C2×M4(2)) = C6×C8⋊D5φ: C2×M4(2)/C2×C8 → C2 ⊆ Aut C15240C15:24(C2xM4(2))480,693
C15⋊25(C2×M4(2)) = C10×C8⋊S3φ: C2×M4(2)/C2×C8 → C2 ⊆ Aut C15240C15:25(C2xM4(2))480,779
C15⋊26(C2×M4(2)) = M4(2)×D15φ: C2×M4(2)/M4(2) → C2 ⊆ Aut C151204C15:26(C2xM4(2))480,871
C15⋊27(C2×M4(2)) = C3×D5×M4(2)φ: C2×M4(2)/M4(2) → C2 ⊆ Aut C151204C15:27(C2xM4(2))480,699
C15⋊28(C2×M4(2)) = C5×S3×M4(2)φ: C2×M4(2)/M4(2) → C2 ⊆ Aut C151204C15:28(C2xM4(2))480,785
C15⋊29(C2×M4(2)) = C2×C60.7C4φ: C2×M4(2)/C22×C4 → C2 ⊆ Aut C15240C15:29(C2xM4(2))480,886
C15⋊30(C2×M4(2)) = C6×C4.Dic5φ: C2×M4(2)/C22×C4 → C2 ⊆ Aut C15240C15:30(C2xM4(2))480,714
C15⋊31(C2×M4(2)) = C10×C4.Dic3φ: C2×M4(2)/C22×C4 → C2 ⊆ Aut C15240C15:31(C2xM4(2))480,800


׿
×
⋊
ℤ
𝔽
○
≀
ℚ
◁