Finite Group Databasebeta

C2×C8231 #30657998

order16462
nilpotency class1
isoclinismisoclinic class of C1
automorphismAut(G) order 8230
homologyAbelianization (H1) = G · Schur multiplier (H2) = C1

Aliases

cyclicC16462
abelianC2×C8231

Subgroups

subgroupG/H
centerGC1
commutator, FrattiniC1G
LCSG ▷ C1
UCSC1 ◁ G

4 conjugacy classes of subgroups.

Full subgroup data →

Conjugacy classes & character table

16462 conjugacy classes. The character table is too large to display.

Relationships

Fitting subgroup ofDic8231, C2×D8231
socle ofDic8231, C4×C8231, C2×D8231
maximal subgroup ofDic8231, C4×C8231, C2×D8231, …
maximal normal subgroup ofDic8231, C4×C8231, C2×D8231, …
maximal quotient ofC4×C8231, C22×C8231

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(16462, 2);