Finite Group Databasebeta

C23×#13063240 #25960058

order11008
automorphism?
homologyAbelianization (H1) = C24×C4 · Schur multiplier (H2) = C211

Aliases

direct productC23×#13063240

Splittings

SylowC43 ⋊ C23×#99

Subgroups

subgroupG/H
centerC24C22⋊Dic43
commutatorC22×C43C24×C4
FrattiniC23C24×D43
Fitting, prime radicalC24×D4×C43C2
socleC24×C43C22⋊C4
cosocleC23×C43C25
hypercenterC24×D4D43
hypocenterC43C23×#99
LCSG ▷ C22×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C24 ◁ C26 ◁ C24×D4

7902 conjugacy classes of subgroups.

Full subgroup data →

Conjugacy classes & character table

1768 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(11008, 1033029);