Finite Group Databasebeta

#106×C43⋊C8 #24987823

order11008
automorphism?
homologyAbelianization (H1) = C2×C4×C8 · Schur multiplier (H2) = C22×C4

Aliases

direct product#106×C43⋊C8

Splittings

SylowC43 ⋊ C8×#106

Subgroups

subgroupG/H
centerC22×C4D4×D43
commutatorC4×C43C2×C4×C8
FrattiniC2×C42C22×D43
FittingC4×#106×C43C2
socle, prime radicalC23×C43C4×D4
cosocleC2×C42×C43C23
hypercenterC4×#106D43
hypocenterC43C8×#106
LCSG ▷ C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C22×C4 ◁ C2×C42 ◁ C4×#106

446 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, 60794);