Finite Group Databasebeta

#95×D163 #23781508

order10432
automorphism?
homologyAbelianization (H1) = C2×C42 · Schur multiplier (H2) = C25

Aliases

direct product#95×D163

Splittings

Fitting#95×C163 ⋊ C2
SylowC163 ⋊ C2×#95

Subgroups

subgroupG/H
center, FrattiniC23C22×D163
commutatorC2×C163C2×C42
Fitting#95×C163C2
socle, cosocleC23×C163C23
prime radicalC23×D163C22
hypercenter#95D163
hypocenterC163C2×#95
LCSG ▷ C2×C163 ▷ C163
UCSC1 ◁ C23 ◁ #95

330 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#327×D163, #328×D163, #35213037, …
maximal normal subgroup of#327×D163, #328×D163, #35213037, …
maximal quotient of#95×Dic163, (C2×D163)⋊#95, Dic163⋊#95, …

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(10432, 392);