Finite Group Databasebeta

C2×#19148405 #26004781

order11008
automorphism?
homologyAbelianization (H1) = C26 · Schur multiplier (H2) = C213

Aliases

direct productC2×#19148405

Splittings

SylowC43 ⋊ C2×#3502

Subgroups

subgroupG/H
centerC23C24×D43
commutator, cosocleC22×C43C26
FrattiniC22C25×D43
FittingC22×C4×Q8×C43C2
socleC23×C43C25
prime radicalC24×C43C24
hypercenterC22×C4×Q8D43
hypocenterC43C2×#3502
LCSG ▷ C22×C43 ▷ C43
UCSC1 ◁ C23 ◁ C22×C4×Q8

6826 conjugacy classes of subgroups.

Full subgroup data →

Conjugacy classes & character table

1768 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(11008, 1077752);