Finite Group Databasebeta

C2×#19132659 #25008139

order11008
automorphism?
homologyAbelianization (H1) = C22×C16 · Schur multiplier (H2) = C23

Aliases

direct productC2×#19132659

Splittings

SylowC43 ⋊ C2×#1367

Subgroups

subgroupG/H
centerC22×C8D172
commutatorC4×C43C22×C16
FrattiniC4×C8C22×D43
FittingC2×C82×C43C2
socle, prime radicalC23×C43C4⋊C8
cosocleC4×C8×C43C23
hypercenterC2×C82D43
hypocenterC43C2×#1367
LCSG ▷ C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C22×C8 ◁ C2×C4×C8 ◁ C2×C82

286 conjugacy classes of subgroups.

Full subgroup data →

Conjugacy classes & character table

2800 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(11008, 81110);