Finite Group Databasebeta

C2×#17988637 #22618544

order9344
automorphism?
homologyAbelianization (H1) = C23×C8 · Schur multiplier (H2) = C24×C4

Aliases

direct productC2×#17988637

Splittings

SylowC73 ⋊ C2×#431

Subgroups

subgroupG/H
centerC22×C4C22×D73
commutatorC2×C73C23×C8
FrattiniC2×C4C23×D73
FittingC2×C22⋊C8×C73C2
socleC23×C73C22×C4
hypercenterC2×C22⋊C8D73
hypocenterC73C2×#431
LCSG ▷ C2×C73 ▷ C73
UCSC1 ◁ C22×C4 ◁ C2×C22⋊C8

528 conjugacy classes of subgroups.

Full subgroup data →

Conjugacy classes & character table

1520 conjugacy classes. The character table is too large to display.

Relationships

maximal subgroup of#32975573, #32975579, #32975598, …
maximal normal subgroup of#32975573, #32975579, #32975598, …
maximal quotient ofC2×#22609675, C2×C22⋊C8×Dic73, C2×#22609779, …

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(9344, 13123);