Finite Group Databasebeta

#97×D163 #23781612

order10432
automorphism?
homologyAbelianization (H1) = C2×C42 · Schur multiplier (H2) = C23

Aliases

direct product#97×D163

Splittings

Fitting#97×C163 ⋊ C2
SylowC163 ⋊ C2×#97

Subgroups

subgroupG/H
center, FrattiniC2×C4C22×D163
commutatorC2×C163C2×C42
Fitting#97×C163C2
socleC22×C163C22×C4
prime radicalC22×D163C2×C4
cosocleC2×C4×C163C23
hypercenter#97D163
hypocenterC163C2×#97
LCSG ▷ C2×C163 ▷ C163
UCSC1 ◁ C2×C4 ◁ #97

146 conjugacy classes of subgroups.

Full subgroup data →

Conjugacy classes & character table

1660 conjugacy classes. The character table is too large to display.

Relationships

maximal subgroup of#329×D163, #330×D163, #35213121, …
maximal normal subgroup of#329×D163, #330×D163, #35213121, …
maximal quotient of#322×D163, #35212822, #35212824, …

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(10432, 496);