Finite Group Databasebeta

C2×#19104742 #23782428

order10432
automorphism?
homologyAbelianization (H1) = C23×C4 · Schur multiplier (H2) = C25

Aliases

direct productC2×#19104742

Splittings

SylowC163 ⋊ C2×#131

Subgroups

subgroupG/H
centerC2×C4C22×D163
commutatorC2×C163C23×C4
FrattiniC4C23×D163
Fitting, prime radicalC2×#41×C163C2
socleC22×C163C22×C4
cosocleC4×C163C24
hypercenterC2×#41D163
hypocenterC163C2×#131
LCSG ▷ C2×C163 ▷ C163
UCSC1 ◁ C2×C4 ◁ C2×#41

266 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#35214338, #35214339, #35214374, …
maximal normal subgroup of#35214338, #35214339, #35214374, …
maximal quotient ofC2×#23781621, C4×#19104742, C2×#23781632, …

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(10432, 1312);