Finite Group Databasebeta

C2×#19147794 #26003191

order11008
automorphism?
homologyAbelianization (H1) = C25×C4 · Schur multiplier (H2) = C214

Aliases

direct productC2×#19147794

Splittings

FittingC2×C4×#41×C43 ⋊ C2
SylowC43 ⋊ C2×#3428

Subgroups

subgroupG/H
centerC22×C4C23×D43
commutatorC2×C43C25×C4
FrattiniC22C25×D43
FittingC2×C4×#41×C43C2
socleC23×C43C25
prime radicalC22×#41×D43C2
cosocleC22×C43C26
hypercenterC2×C4×#41D43
hypocenterC43C2×#3428
LCSG ▷ C2×C43 ▷ C43
UCSC1 ◁ C22×C4 ◁ C2×C4×#41

11534 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, 1076162);