Finite Group Databasebeta

C2×#19140714 #25263775

order11008
automorphism?
homologyAbelianization (H1) = C25 · Schur multiplier (H2) = C27×C4

Aliases

direct productC2×#19140714

Splittings

SylowC43 ⋊ C2×#2660

Subgroups

subgroupG/H
centerC24C23×D43
commutator, cosocleC23×C43C25
FrattiniC23C24×D43
FittingC2×C43×#376C2
socle, prime radicalC24×C43C24
hypercenterC2×#376D43
hypocenterC43C2×#2660
LCSG ▷ C23×C43 ▷ C43
UCSC1 ◁ C24 ◁ C2×#376

2462 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, 336746);