Finite Group Databasebeta

#107×D263 #30681970

order16832
automorphism?
homologyAbelianization (H1) = C22×C4 · Schur multiplier (H2) = C23

Aliases

direct product#107×D263

Splittings

Fitting#107×C263 ⋊ C2
SylowC263 ⋊ C2×#107

Subgroups

subgroupG/H
centerC22D4×D263
commutatorC4×C263C22×C4
FrattiniC2×C4C22×D263
Fitting#107×C263C2
socleC22×C263C2×D4
prime radicalC22×D263D4
cosocleC2×C4×C263C23
hypercenter#107D263
hypocenterC263C2×#107
LCSG ▷ C4×C263 ▷ C2×C263 ▷ C263
UCSC1 ◁ C22 ◁ C2×C4 ◁ #107

130 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 8416

Conjugacy classes & character table

1862 conjugacy classes. The character table is too large to display.

Relationships

maximal quotient of#335×D263, #46781504, #46781520, …

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(16832, 581);