Finite Group Databasebeta

C4×#14583406 #25255053

order11008
automorphism?
homologyAbelianization (H1) = C24×C4 · Schur multiplier (H2) = C29

Aliases

direct productC4×#14583406

Splittings

FittingC2×C4×#41×C43 ⋊ C2
SylowC43 ⋊ C4×#525

Subgroups

subgroupG/H
centerC2×C42C22×D43
commutatorC22×C43C24×C4
FrattiniC23C24×D43
FittingC2×C4×#41×C43C2
socle, cosocleC23×C43C25
prime radicalC2×#14583406C2
hypercenterC2×C4×#41D43
hypocenterC43C4×#525
LCSG ▷ C22×C43 ▷ C43
UCSC1 ◁ C2×C42 ◁ C2×C4×#41

3902 conjugacy classes of subgroups.

Full subgroup data →

Conjugacy classes & character table

1792 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(11008, 328024);