Finite Group Databasebeta

← Prev (#26003155) Next (#26003157) →

C23×#13063283 #26003156

order11008
automorphism?
homologyAbelianization (H1) = C25×C4 · Schur multiplier (H2) = C213×C4

Aliases

direct productC23×#13063283

Splittings

FittingC23×C4⋊C4×C43 ⋊ C2
SylowC43 ⋊ C23×#117

Subgroups

subgroupG/H
centerC25C22×D43
commutatorC2×C43C25×C4
FrattiniC22C25×D43
FittingC23×C4⋊C4×C43C2
socleC25×C43C23
prime radicalC25×D43C22
cosocleC22×C43C26
hypercenterC23×C4⋊C4D43
hypocenterC43C23×#117
LCSG ▷ C2×C43 ▷ C43
UCSC1 ◁ C25 ◁ C23×C4⋊C4

14334 conjugacy classes of subgroups.

Full subgroup data →

Conjugacy classes & character table

1840 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(11008, 1076127);