Finite Group Databasebeta

#104×C47⋊C8 #26106987

order12032
automorphism?
homologyAbelianization (H1) = C2×C4×C8 · Schur multiplier (H2) = C22×C4

Aliases

direct product#104×C47⋊C8

Splittings

SylowC47 ⋊ C8×#104

Subgroups

subgroupG/H
centerC42D4×D47
commutatorC4×C47C2×C4×C8
FrattiniC2×C42C22×D47
FittingC4×#104×C47C2
socleC22×C47C4×C22⋊C4
prime radicalC2×#41×C47C2×C4
cosocleC2×C42×C47C23
hypercenterC4×#104D47
hypocenterC47C8×#104
LCSG ▷ C4×C47 ▷ C2×C47 ▷ C47
UCSC1 ◁ C42 ◁ C2×C42 ◁ C4×#104

554 conjugacy classes of subgroups.

Full subgroup data →

Conjugacy classes & character table

1400 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(12032, 60277);