Finite Group Databasebeta

C4×#14583647 #25259298

order11008
automorphism?
homologyAbelianization (H1) = C24×C4 · Schur multiplier (H2) = C28

Aliases

direct productC4×#14583647

Splittings

FittingC4×#125×C43 ⋊ C2
SylowC43 ⋊ C4×#562

Subgroups

subgroupG/H
centerC22×C4C23×D43
commutatorC22×C43C24×C4
FrattiniC23C24×D43
FittingC4×#125×C43C2
socle, cosocleC23×C43C25
prime radicalC2×#14583647C2
hypercenterC4×#125D43
hypocenterC43C4×#562
LCSG ▷ C22×C43 ▷ C43
UCSC1 ◁ C22×C4 ◁ C4×#125

2248 conjugacy classes of subgroups.

Full subgroup data →

Conjugacy classes & character table

1252 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(11008, 332269);