Extensions 1→N→G→Q→1 with N=C80 and Q=C4

Direct product G=N×Q with N=C80 and Q=C4
dρLabelID
C4×C80320C4xC80320,150

Semidirect products G=N:Q with N=C80 and Q=C4
extensionφ:Q→Aut NdρLabelID
C801C4 = C40.Q8φ: C4/C1C4 ⊆ Aut C80804C80:1C4320,71
C802C4 = C802C4φ: C4/C1C4 ⊆ Aut C80804C80:2C4320,187
C803C4 = C803C4φ: C4/C1C4 ⊆ Aut C80804C80:3C4320,188
C804C4 = C804C4φ: C4/C1C4 ⊆ Aut C80804C80:4C4320,185
C805C4 = C805C4φ: C4/C1C4 ⊆ Aut C80804C80:5C4320,186
C806C4 = C80⋊C4φ: C4/C1C4 ⊆ Aut C80804C80:6C4320,70
C807C4 = C16×F5φ: C4/C1C4 ⊆ Aut C80804C80:7C4320,181
C808C4 = C167F5φ: C4/C1C4 ⊆ Aut C80804C80:8C4320,182
C809C4 = C16⋊F5φ: C4/C1C4 ⊆ Aut C80804C80:9C4320,183
C8010C4 = C164F5φ: C4/C1C4 ⊆ Aut C80804C80:10C4320,184
C8011C4 = C5×C8.Q8φ: C4/C1C4 ⊆ Aut C80804C80:11C4320,170
C8012C4 = C5×C16⋊C4φ: C4/C1C4 ⊆ Aut C80804C80:12C4320,152
C8013C4 = C8013C4φ: C4/C2C2 ⊆ Aut C80320C80:13C4320,62
C8014C4 = C8014C4φ: C4/C2C2 ⊆ Aut C80320C80:14C4320,63
C8015C4 = C5×C163C4φ: C4/C2C2 ⊆ Aut C80320C80:15C4320,171
C8016C4 = C16×Dic5φ: C4/C2C2 ⊆ Aut C80320C80:16C4320,58
C8017C4 = C8017C4φ: C4/C2C2 ⊆ Aut C80320C80:17C4320,60
C8018C4 = C5×C164C4φ: C4/C2C2 ⊆ Aut C80320C80:18C4320,172
C8019C4 = C5×C165C4φ: C4/C2C2 ⊆ Aut C80320C80:19C4320,151

Non-split extensions G=N.Q with N=C80 and Q=C4
extensionφ:Q→Aut NdρLabelID
C80.1C4 = C16.F5φ: C4/C1C4 ⊆ Aut C801604C80.1C4320,189
C80.2C4 = C80.2C4φ: C4/C1C4 ⊆ Aut C801604C80.2C4320,190
C80.3C4 = C5⋊C64φ: C4/C1C4 ⊆ Aut C803204C80.3C4320,3
C80.4C4 = D5⋊C32φ: C4/C1C4 ⊆ Aut C801604C80.4C4320,179
C80.5C4 = C80.C4φ: C4/C1C4 ⊆ Aut C801604C80.5C4320,180
C80.6C4 = C80.6C4φ: C4/C2C2 ⊆ Aut C801602C80.6C4320,64
C80.7C4 = C52C64φ: C4/C2C2 ⊆ Aut C803202C80.7C4320,1
C80.8C4 = C2×C52C32φ: C4/C2C2 ⊆ Aut C80320C80.8C4320,56
C80.9C4 = C80.9C4φ: C4/C2C2 ⊆ Aut C801602C80.9C4320,57
C80.10C4 = C5×C8.4Q8φ: C4/C2C2 ⊆ Aut C801602C80.10C4320,173
C80.11C4 = C5×M6(2)φ: C4/C2C2 ⊆ Aut C801602C80.11C4320,175

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