Finite Group Databasebeta

D43×#1278 #24986087

order11008
automorphism?
homologyAbelianization (H1) = C2×C4×C8 · Schur multiplier (H2) = C24

Aliases

direct productD43×#1278

Splittings

FittingC43×#1278 ⋊ C2
SylowC43 ⋊ C2×#1278

Subgroups

subgroupG/H
centerC42D4×D43
commutatorC4×C43C2×C4×C8
FrattiniC2×C42C22×D43
FittingC43×#1278C2
socleC22×C43C2×#95
prime radicalC23×D43C4⋊C4
cosocleC2×C42×C43C23
hypercenter#1278D43
hypocenterC43C2×#1278
LCSG ▷ C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C42 ◁ C2×C42 ◁ #1278

782 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, 59058);