Finite Group Databasebeta

C2×#19133844 #25072397

order11008
automorphism?
homologyAbelianization (H1) = C24 · Schur multiplier (H2) = C26

Aliases

direct productC2×#19133844

Splittings

SylowC43 ⋊ C2×#1649

Subgroups

subgroupG/H
centerC23#13063294
commutator, cosocleC42×C43C24
FrattiniC42C23×D43
FittingC2×D4×Q8×C43C2
socleC23×C43#120
prime radicalC22×D4×C43D4
hypercenterC2×D4×Q8D43
hypocenterC43C2×#1649
LCSG ▷ C42×C43 ▷ C22×C43 ▷ C43
UCSC1 ◁ C23 ◁ C2×C42 ◁ C2×D4×Q8

1206 conjugacy classes of subgroups.

Full subgroup data →

Conjugacy classes & character table

1102 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(11008, 145368);