Finite Group Databasebeta

#108×D263 #30681982

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

Aliases

direct product#108×D263

Splittings

Fitting#108×C263 ⋊ C2
SylowC263 ⋊ C2×#108

Subgroups

subgroupG/H
centerC4D4×D263
commutatorC4×C263C22×C4
FrattiniC2×C4C22×D263
Fitting#108×C263C2
socleC2×C263C2×C4⋊C4
prime radicalC22×D263Q8
cosocleC2×C4×C263C23
hypercenter#108D263
hypocenterC263C2×#108
LCSG ▷ C4×C263 ▷ C2×C263 ▷ C263
UCSC1 ◁ C4 ◁ C2×C4 ◁ #108

106 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 4208

Conjugacy classes & character table

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

Relationships

maximal quotient of#334×D263, #335×D263, #46781492, …

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(16832, 593);