Finite Group Databasebeta

#135×C43⋊C8 #25065976

order11008
automorphism?
homologyAbelianization (H1) = C23×C8 · Schur multiplier (H2) = C25

Aliases

direct product#135×C43⋊C8

Splittings

SylowC43 ⋊ C8×#135

Subgroups

subgroupG/H
centerC42D4×D43
commutatorC4×C43C23×C8
FrattiniC42C23×D43
FittingC4×#135×C43C2
socleC22×C43C2×C4×D4
prime radicalC2×#135×C43C4
cosocleC42×C43C24
hypercenterC4×#135D43
hypocenterC43C8×#135
LCSG ▷ C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C42 ◁ C2×C42 ◁ C4×#135

750 conjugacy classes of subgroups.

Full subgroup data →

Conjugacy classes & character table

1288 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(11008, 138947);