Finite Group Databasebeta

C2×#17988349 #22609644

order9344
automorphism?
homologyAbelianization (H1) = C2×C42 · Schur multiplier (H2) = C25

Aliases

direct productC2×#17988349

Splittings

SylowC73 ⋊ C2×#340

Subgroups

subgroupG/H
centerC24C22⋊D73
commutatorC4×C73C2×C42
FrattiniC22×C4C22×D73
FittingC22×C4⋊C4×C73C2
socleC24×C73D4
hypercenterC22×C4⋊C4D73
hypocenterC73C2×#340
LCSG ▷ C4×C73 ▷ C2×C73 ▷ C73
UCSC1 ◁ C24 ◁ C23×C4 ◁ C22×C4⋊C4

512 conjugacy classes of subgroups.

Full subgroup data →

Conjugacy classes & character table

1496 conjugacy classes. The character table is too large to display.

Relationships

maximal subgroup of#340×Dic73, C4×#17988349, #32991166, …
maximal normal subgroup of#340×Dic73, C4×#17988349, #32991166, …
maximal quotient ofC2×#22607765, #32975449, #32975459, …

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(9344, 4223);