Finite Group Databasebeta

C4×#14582671 #25001807

order11008
automorphism?
homologyAbelianization (H1) = C43 · Schur multiplier (H2) = C22×C42

Aliases

direct productC4×#14582671

Splittings

SylowC43 ⋊ C4×#344

Subgroups

subgroupG/H
centerC42(C2×D43)⋊C4
commutatorC22×C43C43
FrattiniC23×C4C22×D43
FittingC2×C4×M16×C43C2
socleC22×C43C2×#95
prime radicalC24×C43C22×C4
cosocleC23×C4×C43C23
hypercenterC2×C4×M16D43
hypocenterC43C4×#344
LCSG ▷ C22×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C42 ◁ C22×C42 ◁ C2×C4×M16

906 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, 74778);