Finite Group Databasebeta

C4×#14582721 #25011982

order11008
automorphism?
homologyAbelianization (H1) = C2×C42 · Schur multiplier (H2) = C2×C4

Aliases

direct productC4×#14582721

Splittings

SylowC43 ⋊ C4×#365

Subgroups

subgroupG/H
centerC2×C4#13063256
commutatorC8×C43C2×C42
FrattiniC22×C8C22×D43
FittingC4×#106×C43C2
socleC22×C43C2×#106
prime radicalC23×C43C2×SD16
cosocleC22×C8×C43C23
hypercenterC4×#106D43
hypocenterC43C4×#365
LCSG ▷ C8×C43 ▷ C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C2×C4 ◁ C2×C42 ◁ C2×C4×C8 ◁ C4×#106

330 conjugacy classes of subgroups.

Full subgroup data →

Conjugacy classes & character table

1240 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(11008, 84953);