Finite Group Databasebeta

C4×#14582750 #25017674

order11008
automorphism?
homologyAbelianization (H1) = C2×C43 · Schur multiplier (H2) = C23×C43

Aliases

direct productC4×#14582750

Splittings

SylowC43 ⋊ C42×C4⋊C4

Subgroups

subgroupG/H
centerC23×C4C22×D43
commutatorC2×C43C2×C43
FrattiniC24C23×D43
FittingC4×#95×C43C2
socle, prime radical, cosocleC24×C43C24
hypercenterC4×#95D43
hypocenterC43C42×C4⋊C4
LCSG ▷ C2×C43 ▷ C43
UCSC1 ◁ C23×C4 ◁ C4×#95

2478 conjugacy classes of subgroups.

Full subgroup data →

Conjugacy classes & character table

1840 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(11008, 90645);