Finite Group Databasebeta

C4×#95×D43 #25017664

order11008
automorphism?
homologyAbelianization (H1) = C2×C43 · Schur multiplier (H2) = C26×C42

Aliases

direct productC4×#95×D43

Splittings

FittingC4×#95×C43 ⋊ C2
SylowC43 ⋊ C2×C4×#95

Subgroups

subgroupG/H
centerC23×C4C22×D43
commutatorC2×C43C2×C43
FrattiniC24C23×D43
FittingC4×#95×C43C2
socle, cosocleC24×C43C24
prime radicalC24×D43C23
hypercenterC4×#95D43
hypocenterC43C2×C4×#95
LCSG ▷ C2×C43 ▷ C43
UCSC1 ◁ C23×C4 ◁ C4×#95

4462 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, 90635);