Finite Group Databasebeta

C4×#14582633 #24987471

order11008
automorphism?
homologyAbelianization (H1) = C2×C42 · Schur multiplier (H2) = C23×C4

Aliases

direct productC4×#14582633

Splittings

SylowC43 ⋊ C4×#327

Subgroups

subgroupG/H
centerC22×C4C22⋊Dic43
commutatorC2×C4×C43C2×C42
FrattiniC23×C4C22×D43
FittingC4×#121×C43C2
socleC23×C43C2×C22⋊C4
prime radicalC2×#121×C43C22
cosocleC23×C4×C43C23
hypercenterC4×#121D43
hypocenterC43C4×#327
LCSG ▷ C2×C4×C43 ▷ C22×C43 ▷ C43
UCSC1 ◁ C22×C4 ◁ C22×C42 ◁ C4×#121

816 conjugacy classes of subgroups.

Full subgroup data →

Conjugacy classes & character table

1252 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(11008, 60442);