Finite Group Databasebeta

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C23×#11924031 #22626890

order9344
automorphism?
homologyAbelianization (H1) = C23×C16 · Schur multiplier (H2) = C26

Aliases

direct productC23×#11924031

Splittings

derived, SylowC73 ⋊ C23×C16

Subgroups

subgroupG/H
center, hypercenterC23×C4#64408
commutator, hypocenterC73C23×C16
FrattiniC4C23×#64408
FittingC23×C4×C73C4
socleC24×C73C8
LCSG ▷ C73
UCSC1 ◁ C23×C4

440 conjugacy classes of subgroups.

Full subgroup data →

Conjugacy classes & character table

704 conjugacy classes — view the full character table.

Relationships

maximal subgroup ofC2×#22624969, C2×#22624970, #34012113, …
maximal normal subgroup ofC2×#22624969, C2×#22624970, #34012113, …
maximal quotient ofC22×C4×#11924031, C22×C22⋊#11924031, C22×C4⋊#11924031, …

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(9344, 21469);