Finite Group Databasebeta

C2×#17988351 #22609654

order9344
automorphism?
homologyAbelianization (H1) = C2×C42 · Schur multiplier (H2) = C24

Aliases

direct productC2×#17988351

Splittings

SylowC73 ⋊ C2×#341

Subgroups

subgroupG/H
centerC22×C4C22⋊D73
commutatorC4×C73C2×C42
FrattiniC22×C4C22×D73
FittingC22×M16×C73C2
socleC23×C73C4⋊C4
hypercenterC22×M16D73
hypocenterC73C2×#341
LCSG ▷ C4×C73 ▷ C2×C73 ▷ C73
UCSC1 ◁ C22×C4 ◁ C23×C4 ◁ C22×M16

392 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#341×Dic73, C4×#17988351, #32991172, …
maximal normal subgroup of#341×Dic73, C4×#17988351, #32991172, …
maximal quotient ofC2×#22607765, #32975442, #32975449, …

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(9344, 4233);