Finite Group Databasebeta

#99×C47⋊C8 #26106821

order12032
automorphism?
homologyAbelianization (H1) = C2×C4×C8 · Schur multiplier (H2) = C23×C4

Aliases

direct product#99×C47⋊C8

Splittings

SylowC47 ⋊ C8×#99

Subgroups

subgroupG/H
centerC2×C4C22⋊C4×D47
commutatorC22×C47C2×C4×C8
FrattiniC23×C4C22×D47
FittingC4×#99×C47C2
socleC22×C47C4×C22⋊C4
prime radicalC22×D4×C47C2×C4
cosocleC23×C4×C47C23
hypercenterC4×#99D47
hypocenterC47C8×#99
LCSG ▷ C22×C47 ▷ C2×C47 ▷ C47
UCSC1 ◁ C2×C4 ◁ C23×C4 ◁ C4×#99

614 conjugacy classes of subgroups.

Full subgroup data →

Conjugacy classes & character table

1100 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(12032, 60111);