Finite Group Databasebeta

D43×#1392 #25011556

order11008
automorphism?
homologyAbelianization (H1) = C2×C42 · Schur multiplier (H2) = C24

Aliases

direct productD43×#1392

Splittings

FittingC43×#1392 ⋊ C2
SylowC43 ⋊ C2×#1392

Subgroups

subgroupG/H
centerC4#99×D43
commutatorC23×C43C2×C42
FrattiniC2×#41C22×D43
FittingC43×#1392C2
socleC2×C43C2×#342
prime radicalC2×#41×D43C22
cosocleC2×#41×C43C23
hypercenter#1392D43
hypocenterC43C2×#1392
LCSG ▷ C23×C43 ▷ C22×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C4 ◁ C2×C4 ◁ C2×#41 ◁ #1392

750 conjugacy classes of subgroups.

Full subgroup data →

Conjugacy classes & character table

598 conjugacy classes — view the full character table.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(11008, 84527);