Finite Group Databasebeta

C4×#14582664 #25001784

order11008
automorphism?
homologyAbelianization (H1) = C43 · Schur multiplier (H2) = C22×C42

Aliases

direct productC4×#14582664

Splittings

SylowC43 ⋊ C4×#341

Subgroups

subgroupG/H
centerC2×C42D172
commutatorC4×C43C43
FrattiniC23×C4C22×D43
FittingC22×C4×C8×C43C2
socleC23×C43C2×C4⋊C4
prime radicalC24×C43C2×Q8
cosocleC23×C4×C43C23
hypercenterC22×C4×C8D43
hypocenterC43C4×#341
LCSG ▷ C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C2×C42 ◁ C22×C42 ◁ C22×C4×C8

910 conjugacy classes of subgroups.

Full subgroup data →

Conjugacy classes & character table

2800 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(11008, 74755);