Finite Group Databasebeta

C2×#19143643 #25961347

order11008
automorphism?
homologyAbelianization (H1) = C24×C4 · Schur multiplier (H2) = C28

Aliases

direct productC2×#19143643

Splittings

SylowC43 ⋊ C2×#2976

Subgroups

subgroupG/H
centerC22×C4C23×D43
commutatorC22×C43C24×C4
FrattiniC2×C4C24×D43
Fitting, prime radicalC2×C43×#525C2
socleC23×C43C23×C4
cosocleC2×C4×C43C25
hypercenterC2×#525D43
hypocenterC43C2×#2976
LCSG ▷ C22×C43 ▷ C43
UCSC1 ◁ C22×C4 ◁ C2×#525

2306 conjugacy classes of subgroups.

Full subgroup data →

Conjugacy classes & character table

1264 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(11008, 1034318);