Finite Group Databasebeta

C4×#117×D43 #25254778

order11008
automorphism?
homologyAbelianization (H1) = C23×C42 · Schur multiplier (H2) = C27×C42

Aliases

direct productC4×#117×D43

Splittings

FittingC4×#117×C43 ⋊ C2
SylowC43 ⋊ C2×C4×#117

Subgroups

subgroupG/H
centerC2×C42C22×D43
commutatorC2×C43C23×C42
FrattiniC23C24×D43
FittingC4×#117×C43C2
socle, cosocleC23×C43C25
prime radicalC24×D43C23
hypercenterC4×#117D43
hypocenterC43C2×C4×#117
LCSG ▷ C2×C43 ▷ C43
UCSC1 ◁ C2×C42 ◁ C4×#117

4462 conjugacy classes of subgroups.

Full subgroup data →

Conjugacy classes & character table

1840 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(11008, 327749);