Finite Group Databasebeta

D43×#1374 #25011432

order11008
automorphism?
homologyAbelianization (H1) = C2×C4×C16 · Schur multiplier (H2) = C25

Aliases

direct productD43×#1374

Splittings

FittingC43×#1374 ⋊ C2
SylowC43 ⋊ C2×#1374

Subgroups

subgroupG/H
center, FrattiniC22×C8C22×D43
commutatorC2×C43C2×C4×C16
FittingC43×#1374C2
socleC23×C43C22×C8
prime radicalC23×D43C2×C8
cosocleC22×C8×C43C23
hypercenter#1374D43
hypocenterC43C2×#1374
LCSG ▷ C2×C43 ▷ C43
UCSC1 ◁ C22×C8 ◁ #1374

726 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, 84403);