Finite Group Databasebeta

C4×#14583162 #25103462

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

Aliases

direct productC4×#14583162

Splittings

FittingC4×#131×C43 ⋊ C2
SylowC43 ⋊ C4×#471

Subgroups

subgroupG/H
centerC2×C4#13063299
commutatorC2×C4×C43C23×C4
FrattiniC22×C4C23×D43
FittingC4×#131×C43C2
socleC22×C43C2×#121
prime radicalC2×#13063350C22
cosocleC22×C4×C43C24
hypercenterC4×#131D43
hypocenterC43C4×#471
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C2×C4 ◁ C2×C42 ◁ C4×#131

914 conjugacy classes of subgroups.

Full subgroup data →

Conjugacy classes & character table

1744 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(11008, 176433);