Finite Group Databasebeta

C4×#14582833 #25018435

order11008
automorphism?
homologyAbelianization (H1) = C23×C4 · Schur multiplier (H2) = C25

Aliases

direct productC4×#14582833

Splittings

SylowC43 ⋊ C4×#398

Subgroups

subgroupG/H
centerC23×C4C22×D43
commutatorC23×C43C23×C4
FrattiniC24C23×D43
FittingC4×#95×C43C2
socle, prime radical, cosocleC24×C43C24
hypercenterC4×#95D43
hypocenterC43C4×#398
LCSG ▷ C23×C43 ▷ C43
UCSC1 ◁ C23×C4 ◁ C4×#95

1574 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, 91406);