Finite Group Databasebeta

C2×#95×Dic43 #25017665

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

Aliases

direct productC2×#95×Dic43

Splittings

SylowC43 ⋊ C2×C4×#95

Subgroups

subgroupG/H
centerC25C22×D43
commutatorC2×C43C2×C43
FrattiniC24C23×D43
FittingC22×#95×C43C2
socle, prime radicalC25×C43C23
cosocleC24×C43C24
hypercenterC22×#95D43
hypocenterC43C2×C4×#95
LCSG ▷ C2×C43 ▷ C43
UCSC1 ◁ C25 ◁ C22×#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, 90636);