Finite Group Databasebeta

C23×#13063284 #26003157

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

Aliases

direct productC23×#13063284

Splittings

SylowC43 ⋊ C23×#117

Subgroups

subgroupG/H
centerC24×C4C2×D43
commutatorC2×C43C25×C4
FrattiniC22C25×D43
FittingC25×C4×C43C2
socleC25×C43C23
prime radicalC26×C43C22
cosocleC22×C43C26
hypercenterC25×C4D43
hypocenterC43C23×#117
LCSG ▷ C2×C43 ▷ C43
UCSC1 ◁ C24×C4 ◁ C25×C4

14334 conjugacy classes of subgroups.

Full subgroup data →

Conjugacy classes & character table

2848 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(11008, 1076128);