Finite Group Databasebeta

#107×D461 #44442108

order29504
automorphism?
homologyAbelianization (H1) = C22×C4 · Schur multiplier (H2) = C23

Aliases

direct product#107×D461

Splittings

Fitting#107×C461 ⋊ C2
SylowC461 ⋊ C2×#107

Subgroups

subgroupG/H
centerC22D4×D461
commutatorC4×C461C22×C4
FrattiniC2×C4C22×D461
Fitting#107×C461C2
socleC22×C461C2×D4
prime radicalC22×D461D4
cosocleC2×C4×C461C23
hypercenter#107D461
hypocenterC461C2×#107
LCSG ▷ C4×C461 ▷ C2×C461 ▷ C461
UCSC1 ◁ C22 ◁ C2×C4 ◁ #107

130 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 14752

Conjugacy classes & character table

3248 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(29504, 581);