Finite Group Databasebeta

#41×C22⋊Dic43 #25255802

order11008
automorphism?
homologyAbelianization (H1) = C24×C4 · Schur multiplier (H2) = C210

Aliases

direct product#41×C22⋊Dic43

Splittings

SylowC43 ⋊ C22⋊C4×#41

Subgroups

subgroupG/H
centerC22×C4C23×D43
commutatorC22×C43C24×C4
FrattiniC23C24×D43
Fitting, prime radicalC23×#41×C43C2
socle, cosocleC23×C43C25
hypercenterC23×#41D43
hypocenterC43C22⋊C4×#41
LCSG ▷ C22×C43 ▷ C43
UCSC1 ◁ C22×C4 ◁ C23×#41

5646 conjugacy classes of subgroups.

Full subgroup data →

Conjugacy classes & character table

1780 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(11008, 328773);