Finite Group Databasebeta

C2×#19143734 #25961676

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

Aliases

direct productC2×#19143734

Splittings

SylowC43 ⋊ C2×#2992

Subgroups

subgroupG/H
centerC22×C4C23×D43
commutatorC22×C43C24×C4
FrattiniC2×C4C24×D43
FittingC2×C43×#529C2
socleC23×C43C23×C4
prime radicalC2×#121×C43C4
cosocleC2×C4×C43C25
hypercenterC2×#529D43
hypocenterC43C2×#2992
LCSG ▷ C22×C43 ▷ C43
UCSC1 ◁ C22×C4 ◁ C2×#529

1938 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, 1034647);