Finite Group Databasebeta

C2×#17988985 #22620430

order9344
automorphism?
homologyAbelianization (H1) = C24 · Schur multiplier (H2) = C23×C4

Aliases

direct productC2×#17988985

Splittings

SylowC73 ⋊ C2×#498

Subgroups

subgroupG/H
centerC23C2×D292
commutatorC2×C4×C73C24
FrattiniC2×C4C23×D73
FittingC2×C4×C8×C73C2
socleC23×C73C2×D4
hypercenterC2×C4×C8D73
hypocenterC73C2×#498
LCSG ▷ C2×C4×C73 ▷ C2×C73 ▷ C73
UCSC1 ◁ C23 ◁ C2×C42 ◁ C2×C4×C8

424 conjugacy classes of subgroups.

Full subgroup data →

Conjugacy classes & character table

2348 conjugacy classes. The character table is too large to display.

Relationships

maximal subgroup of#32981246, #32981248, #32985199, …
maximal normal subgroup of#32981246, #32981248, #32985199, …
maximal quotient ofC2×#22610088, C2×#22610659, C2×#22610892, …

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(9344, 15009);