Finite Group Databasebeta

#95×C47⋊C8 #26121435

order12032
automorphism?
homologyAbelianization (H1) = C42×C8 · Schur multiplier (H2) = C23×C42

Aliases

direct product#95×C47⋊C8

Splittings

SylowC47 ⋊ C8×#95

Subgroups

subgroupG/H
center, FrattiniC23×C4C22×D47
commutatorC2×C47C42×C8
FittingC4×#95×C47C2
socle, prime radicalC24×C47C22×C4
cosocleC23×C4×C47C23
hypercenterC4×#95D47
hypocenterC47C8×#95
LCSG ▷ C2×C47 ▷ C47
UCSC1 ◁ C23×C4 ◁ C4×#95

1174 conjugacy classes of subgroups.

Full subgroup data →

Conjugacy classes & character table

2000 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(12032, 74725);