Finite Group Databasebeta

D43×#2924 #25960345

order11008
automorphism?
homologyAbelianization (H1) = C24×C4 · Schur multiplier (H2) = C27×C4

Aliases

direct productD43×#2924

Splittings

FittingC43×#2924 ⋊ C2
SylowC43 ⋊ C2×#2924

Subgroups

subgroupG/H
center, FrattiniC2×C4C24×D43
commutator, socleC22×C43C24×C4
FittingC43×#2924C2
prime radicalC24×D43C2×C4
cosocleC2×C4×C43C25
hypercenter#2924D43
hypocenterC43C2×#2924
LCSG ▷ C22×C43 ▷ C43
UCSC1 ◁ C2×C4 ◁ #2924

2254 conjugacy classes of subgroups.

Full subgroup data →

Conjugacy classes & character table

1150 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(11008, 1033316);