Finite Group Databasebeta

C2×C4×#13063240 #25094243

order11008
automorphism?
homologyAbelianization (H1) = C22×C42 · Schur multiplier (H2) = C26×C4

Aliases

direct productC2×C4×#13063240

Splittings

SylowC43 ⋊ C2×C4×#99

Subgroups

subgroupG/H
centerC22×C4C22⋊Dic43
commutatorC22×C43C22×C42
FrattiniC24C23×D43
FittingC22×C4×D4×C43C2
socleC23×C43C2×C22⋊C4
prime radicalC23×D4×C43C22
cosocleC24×C43C24
hypercenterC22×C4×D4D43
hypocenterC43C2×C4×#99
LCSG ▷ C22×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C22×C4 ◁ C24×C4 ◁ C22×C4×D4

2242 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, 167214);