Finite Group Databasebeta

C2×#17986379 #22598756

order9088
automorphism?
homologyAbelianization (H1) = C24 · Schur multiplier (H2) = C24×C4

Aliases

direct productC2×#17986379

Splittings

SylowC71 ⋊ C2×#494

Subgroups

subgroupG/H
centerC23C2×D284
commutatorC2×C4×C71C24
FrattiniC2×C4C23×D71
FittingC2×C4×C8×C71C2
socleC23×C71C2×D4
hypercenterC2×C4×C8D71
hypocenterC71C2×#494
LCSG ▷ C2×C4×C71 ▷ C2×C71 ▷ C71
UCSC1 ◁ C23 ◁ C2×C42 ◁ C2×C4×C8

552 conjugacy classes of subgroups.

Full subgroup data →

Conjugacy classes & character table

2284 conjugacy classes. The character table is too large to display.

Relationships

maximal subgroup of#31892757, #31896691, #31896693, …
maximal normal subgroup of#31892757, #31896691, #31896693, …
maximal quotient ofC2×#22587937, C2×#22587950, C2×#22587958, …

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(9088, 14926);