Finite Group Databasebeta

#41×C43⋊C16 #25250116

order11008
automorphism?
homologyAbelianization (H1) = C23×C16 · Schur multiplier (H2) = C25

Aliases

direct product#41×C43⋊C16

Splittings

SylowC43 ⋊ C16×#41

Subgroups

subgroupG/H
centerC4×C8C22×D43
commutatorC2×C43C23×C16
FrattiniC2×C8C23×D43
FittingC8×#41×C43C2
socleC22×C43C23×C8
prime radicalC2×#41×C43C8
cosocleC2×C8×C43C24
hypercenterC8×#41D43
hypocenterC43C16×#41
LCSG ▷ C2×C43 ▷ C43
UCSC1 ◁ C4×C8 ◁ C8×#41

602 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, 323087);