# 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
C151(C2×M4(2)) = S3×C4.F5φ: C2×M4(2)/C4C2×C4 ⊆ Aut C151208C15:1(C2xM4(2))480,988
C152(C2×M4(2)) = D15⋊M4(2)φ: C2×M4(2)/C4C2×C4 ⊆ Aut C151208C15:2(C2xM4(2))480,991
C153(C2×M4(2)) = C5⋊C8⋊D6φ: C2×M4(2)/C4C2×C4 ⊆ Aut C151208C15:3(C2xM4(2))480,993
C154(C2×M4(2)) = S3×C22.F5φ: C2×M4(2)/C22C2×C4 ⊆ Aut C151208-C15:4(C2xM4(2))480,1004
C155(C2×M4(2)) = D152M4(2)φ: C2×M4(2)/C22C2×C4 ⊆ Aut C151208+C15:5(C2xM4(2))480,1007
C156(C2×M4(2)) = C2×D6.F5φ: C2×M4(2)/C22C2×C4 ⊆ Aut C15240C15:6(C2xM4(2))480,1008
C157(C2×M4(2)) = C2×Dic3.F5φ: C2×M4(2)/C22C2×C4 ⊆ Aut C15240C15:7(C2xM4(2))480,1009
C158(C2×M4(2)) = D5×C8⋊S3φ: C2×M4(2)/C8C22 ⊆ Aut C151204C15:8(C2xM4(2))480,320
C159(C2×M4(2)) = S3×C8⋊D5φ: C2×M4(2)/C8C22 ⊆ Aut C151204C15:9(C2xM4(2))480,321
C1510(C2×M4(2)) = C40⋊D6φ: C2×M4(2)/C8C22 ⊆ Aut C151204C15:10(C2xM4(2))480,322
C1511(C2×M4(2)) = C2×C12.F5φ: C2×M4(2)/C2×C4C4 ⊆ Aut C15240C15:11(C2xM4(2))480,1061
C1512(C2×M4(2)) = C60.59(C2×C4)φ: C2×M4(2)/C2×C4C4 ⊆ Aut C151204C15:12(C2xM4(2))480,1062
C1513(C2×M4(2)) = C6×C4.F5φ: C2×M4(2)/C2×C4C4 ⊆ Aut C15240C15:13(C2xM4(2))480,1048
C1514(C2×M4(2)) = C3×D5⋊M4(2)φ: C2×M4(2)/C2×C4C4 ⊆ Aut C151204C15:14(C2xM4(2))480,1049
C1515(C2×M4(2)) = D5×C4.Dic3φ: C2×M4(2)/C2×C4C22 ⊆ Aut C151204C15:15(C2xM4(2))480,358
C1516(C2×M4(2)) = S3×C4.Dic5φ: C2×M4(2)/C2×C4C22 ⊆ Aut C151204C15:16(C2xM4(2))480,363
C1517(C2×M4(2)) = D154M4(2)φ: C2×M4(2)/C2×C4C22 ⊆ Aut C151204C15:17(C2xM4(2))480,368
C1518(C2×M4(2)) = C2×C20.32D6φ: C2×M4(2)/C2×C4C22 ⊆ Aut C15240C15:18(C2xM4(2))480,369
C1519(C2×M4(2)) = C2×D6.Dic5φ: C2×M4(2)/C2×C4C22 ⊆ Aut C15240C15:19(C2xM4(2))480,370
C1520(C2×M4(2)) = C2×D30.5C4φ: C2×M4(2)/C2×C4C22 ⊆ Aut C15240C15:20(C2xM4(2))480,371
C1521(C2×M4(2)) = C2×C158M4(2)φ: C2×M4(2)/C23C4 ⊆ Aut C15240C15:21(C2xM4(2))480,1071
C1522(C2×M4(2)) = C6×C22.F5φ: C2×M4(2)/C23C4 ⊆ Aut C15240C15:22(C2xM4(2))480,1058
C1523(C2×M4(2)) = C2×C40⋊S3φ: C2×M4(2)/C2×C8C2 ⊆ Aut C15240C15:23(C2xM4(2))480,865
C1524(C2×M4(2)) = C6×C8⋊D5φ: C2×M4(2)/C2×C8C2 ⊆ Aut C15240C15:24(C2xM4(2))480,693
C1525(C2×M4(2)) = C10×C8⋊S3φ: C2×M4(2)/C2×C8C2 ⊆ Aut C15240C15:25(C2xM4(2))480,779
C1526(C2×M4(2)) = M4(2)×D15φ: C2×M4(2)/M4(2)C2 ⊆ Aut C151204C15:26(C2xM4(2))480,871
C1527(C2×M4(2)) = C3×D5×M4(2)φ: C2×M4(2)/M4(2)C2 ⊆ Aut C151204C15:27(C2xM4(2))480,699
C1528(C2×M4(2)) = C5×S3×M4(2)φ: C2×M4(2)/M4(2)C2 ⊆ Aut C151204C15:28(C2xM4(2))480,785
C1529(C2×M4(2)) = C2×C60.7C4φ: C2×M4(2)/C22×C4C2 ⊆ Aut C15240C15:29(C2xM4(2))480,886
C1530(C2×M4(2)) = C6×C4.Dic5φ: C2×M4(2)/C22×C4C2 ⊆ Aut C15240C15:30(C2xM4(2))480,714
C1531(C2×M4(2)) = C10×C4.Dic3φ: C2×M4(2)/C22×C4C2 ⊆ Aut C15240C15:31(C2xM4(2))480,800

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