Finite Group Databasebeta

D43×#3428 #26003189

order11008
automorphism?
homologyAbelianization (H1) = C25×C4 · Schur multiplier (H2) = C214

Aliases

direct productD43×#3428

Splittings

FittingC43×#3428 ⋊ C2
SylowC43 ⋊ C2×#3428

Subgroups

subgroupG/H
centerC2×C4C24×D43
commutatorC2×C43C25×C4
FrattiniC22C25×D43
FittingC43×#3428C2
socle, cosocleC22×C43C26
prime radicalC22×#41×D43C2
hypercenter#3428D43
hypocenterC43C2×#3428
LCSG ▷ C2×C43 ▷ C43
UCSC1 ◁ C2×C4 ◁ #3428

11534 conjugacy classes of subgroups.

Full subgroup data →

Conjugacy classes & character table

1564 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(11008, 1076160);