Finite Group Databasebeta

C2×#17986119 #22597234

order9088
automorphism?
homologyAbelianization (H1) = C23×C4 · Schur multiplier (H2) = C25

Aliases

direct productC2×#17986119

Splittings

FittingC2×#131×C71 ⋊ C2
SylowC71 ⋊ C2×#444

Subgroups

subgroupG/H
centerC2×C4C2×C22⋊D71
commutatorC4×C71C23×C4
FrattiniC2×C4C23×D71
FittingC2×#131×C71C2
socleC22×C71C4×D4
hypercenterC2×#131D71
hypocenterC71C2×#444
LCSG ▷ C4×C71 ▷ C2×C71 ▷ C71
UCSC1 ◁ C2×C4 ◁ C22×C8 ◁ C2×#131

464 conjugacy classes of subgroups.

Full subgroup data →

Conjugacy classes & character table

1444 conjugacy classes. The character table is too large to display.

Relationships

maximal subgroup of#31914358, #31914359, #31914361, …
maximal normal subgroup of#31914358, #31914359, #31914361, …
maximal quotient ofC2×#22587150, C2×#22587152, C2×#22587157, …

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(9088, 13404);