Finite Group Databasebeta

C2×#17988629 #22618516

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

Aliases

direct productC2×#17988629

Splittings

SylowC73 ⋊ C2×#428

Subgroups

subgroupG/H
centerC23C2×D292
commutatorC4×C73C23×C4
FrattiniC2×C4C23×D73
FittingC22×M16×C73C2
socleC23×C73C2×D4
hypercenterC22×M16D73
hypocenterC73C2×#428
LCSG ▷ C4×C73 ▷ C2×C73 ▷ C73
UCSC1 ◁ C23 ◁ C23×C4 ◁ C22×M16

536 conjugacy classes of subgroups.

Full subgroup data →

Conjugacy classes & character table

1484 conjugacy classes. The character table is too large to display.

Relationships

maximal subgroup of#32992066, #32992068, #32992087, …
maximal normal subgroup of#32992066, #32992068, #32992087, …
maximal quotient ofC2×#22608683, C2×#22608698, #33055013, …

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(9344, 13095);