Finite Group Databasebeta

C2×#19132822 #25017692

order11008
automorphism?
homologyAbelianization (H1) = C22×C42 · Schur multiplier (H2) = C27×C4

Aliases

direct productC2×#19132822

Splittings

SylowC43 ⋊ C2×#1434

Subgroups

subgroupG/H
centerC25C22×D43
commutatorC22×C43C22×C42
FrattiniC24C23×D43
FittingC23×C42×C43C2
socle, prime radicalC25×C43C23
cosocleC24×C43C24
hypercenterC23×C42D43
hypocenterC43C2×#1434
LCSG ▷ C22×C43 ▷ C43
UCSC1 ◁ C25 ◁ C23×C42

3246 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, 90663);