Extensions 1→N→G→Q→1 with N=C52C16 and Q=C4

Direct product G=N×Q with N=C52C16 and Q=C4
dρLabelID
C4×C52C16320C4xC5:2C16320,18

Semidirect products G=N:Q with N=C52C16 and Q=C4
extensionφ:Q→Out NdρLabelID
C52C161C4 = C8.Dic10φ: C4/C1C4 ⊆ Out C52C16804C5:2C16:1C4320,45
C52C162C4 = C40.6Q8φ: C4/C1C4 ⊆ Out C52C16804C5:2C16:2C4320,52
C52C163C4 = C804C4φ: C4/C1C4 ⊆ Out C52C16804C5:2C16:3C4320,185
C52C164C4 = C805C4φ: C4/C1C4 ⊆ Out C52C16804C5:2C16:4C4320,186
C52C165C4 = C20.45C42φ: C4/C1C4 ⊆ Out C52C16804C5:2C16:5C4320,24
C52C166C4 = C80⋊C4φ: C4/C1C4 ⊆ Out C52C16804C5:2C16:6C4320,70
C52C167C4 = C16⋊F5φ: C4/C1C4 ⊆ Out C52C16804C5:2C16:7C4320,183
C52C168C4 = C164F5φ: C4/C1C4 ⊆ Out C52C16804C5:2C16:8C4320,184
C52C169C4 = C40.2Q8φ: C4/C2C2 ⊆ Out C52C16320C5:2C16:9C4320,47
C52C1610C4 = C10.SD32φ: C4/C2C2 ⊆ Out C52C16320C5:2C16:10C4320,48
C52C1611C4 = C40.10C8φ: C4/C2C2 ⊆ Out C52C16320C5:2C16:11C4320,19
C52C1612C4 = C8017C4φ: C4/C2C2 ⊆ Out C52C16320C5:2C16:12C4320,60
C52C1613C4 = C802C4φ: C4/C2C2 ⊆ Out C52C16804C5:2C16:13C4320,187
C52C1614C4 = C803C4φ: C4/C2C2 ⊆ Out C52C16804C5:2C16:14C4320,188
C52C1615C4 = C16×F5φ: C4/C2C2 ⊆ Out C52C16804C5:2C16:15C4320,181
C52C1616C4 = C167F5φ: C4/C2C2 ⊆ Out C52C16804C5:2C16:16C4320,182
C52C1617C4 = C16×Dic5φ: trivial image320C5:2C16:17C4320,58

Non-split extensions G=N.Q with N=C52C16 and Q=C4
extensionφ:Q→Out NdρLabelID
C52C16.1C4 = C40.7Q8φ: C4/C2C2 ⊆ Out C52C161604C5:2C16.1C4320,51
C52C16.2C4 = C32⋊D5φ: C4/C2C2 ⊆ Out C52C161602C5:2C16.2C4320,5
C52C16.3C4 = C16.F5φ: C4/C2C2 ⊆ Out C52C161604C5:2C16.3C4320,189
C52C16.4C4 = C80.2C4φ: C4/C2C2 ⊆ Out C52C161604C5:2C16.4C4320,190
C52C16.5C4 = C2×C5⋊C32φ: C4/C2C2 ⊆ Out C52C16320C5:2C16.5C4320,214
C52C16.6C4 = C5⋊M6(2)φ: C4/C2C2 ⊆ Out C52C161604C5:2C16.6C4320,215
C52C16.7C4 = D5×C32φ: trivial image1602C5:2C16.7C4320,4

׿
×
𝔽