Finite Group Databasebeta

C4×#14583735 #26003210

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

Aliases

direct productC4×#14583735

Splittings

FittingC2×C4×#41×C43 ⋊ C2
SylowC43 ⋊ C4×#585

Subgroups

subgroupG/H
centerC42C23×D43
commutatorC2×C43C25×C4
FrattiniC22C25×D43
FittingC2×C4×#41×C43C2
socle, cosocleC22×C43C26
prime radicalC2×#14583735C2
hypercenterC2×C4×#41D43
hypocenterC43C4×#585
LCSG ▷ C2×C43 ▷ C43
UCSC1 ◁ C42 ◁ C2×C4×#41

11346 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, 1076181);