Finite Group Databasebeta

#107×D467 #44470069

order29888
automorphism?
homologyAbelianization (H1) = C22×C4 · Schur multiplier (H2) = C23

Aliases

direct product#107×D467

Splittings

Fitting#107×C467 ⋊ C2
SylowC467 ⋊ C2×#107

Subgroups

subgroupG/H
centerC22D4×D467
commutatorC4×C467C22×C4
FrattiniC2×C4C22×D467
Fitting#107×C467C2
socleC22×C467C2×D4
prime radicalC22×D467D4
cosocleC2×C4×C467C23
hypercenter#107D467
hypocenterC467C2×#107
LCSG ▷ C4×C467 ▷ C2×C467 ▷ C467
UCSC1 ◁ C22 ◁ C2×C4 ◁ #107

130 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 14944

Conjugacy classes & character table

3290 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(29888, 581);