Finite Group Databasebeta

C4×#14582620 #24985945

order11008
automorphism?
homologyAbelianization (H1) = C42×C8 · Schur multiplier (H2) = C43

Aliases

direct productC4×#14582620

Splittings

SylowC43 ⋊ C4×#322

Subgroups

subgroupG/H
centerC43C2×D43
commutatorC2×C43C42×C8
FrattiniC2×C42C22×D43
FittingC42×C8×C43C2
socle, prime radicalC23×C43C2×C42
cosocleC2×C42×C43C23
hypercenterC42×C8D43
hypocenterC43C4×#322
LCSG ▷ C2×C43 ▷ C43
UCSC1 ◁ C43 ◁ C42×C8

654 conjugacy classes of subgroups.

Full subgroup data →

Conjugacy classes & character table

2848 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(11008, 58916);