Finite Group Databasebeta

C2×D73⋊#108 #22626588

order9344
automorphism?
homologyAbelianization (H1) = C23×C4 · Schur multiplier (H2) = C25

Aliases

direct productC2×D73⋊#108
unambiguous semidirect productD73⋊(C2×#108)

Splittings

SylowC73 ⋊ C22×#108

Subgroups

subgroupG/H
centerC2×C4C4⋊#64408
commutatorC4×C73C23×C4
FrattiniC4C23×#64408
FittingC22×C8×C73C4
socleC22×C73C2×C4⋊C4
hypercenterC22×C8#64408
hypocenterC73C22×#108
LCSG ▷ C4×C73 ▷ C2×C73 ▷ C73
UCSC1 ◁ C2×C4 ◁ C22×C4 ◁ C22×C8

480 conjugacy classes of subgroups.

Full subgroup data →

Conjugacy classes & character table

632 conjugacy classes — view the full character table.

Relationships

maximal subgroup of#34008771, #34008775, #34008784, …
maximal normal subgroup of#34008771, #34008775, #34008784, …
maximal quotient ofC2×#22625473, C2×#22625476, C2×#22625478, …

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(9344, 21167);