Finite Group Databasebeta

C2×#19143705 #25961643

order11008
automorphism?
homologyAbelianization (H1) = C24×C8 · Schur multiplier (H2) = C29

Aliases

direct productC2×#19143705

Splittings

FittingC2×C8×Q8×C43 ⋊ C2
SylowC43 ⋊ C2×#2988

Subgroups

subgroupG/H
centerC22×C4C23×D43
commutatorC2×C43C24×C8
FrattiniC2×C4C24×D43
FittingC2×C8×Q8×C43C2
socleC23×C43C23×C4
prime radicalC22×#10621902C4
cosocleC2×C4×C43C25
hypercenterC2×C8×Q8D43
hypocenterC43C2×#2988
LCSG ▷ C2×C43 ▷ C43
UCSC1 ◁ C22×C4 ◁ C2×C8×Q8

2434 conjugacy classes of subgroups.

Full subgroup data →

Conjugacy classes & character table

1816 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(11008, 1034614);