Finite Group Databasebeta

C2×C8101 #30633742

order16202
nilpotency class1
isoclinismisoclinic class of C1
automorphismAut(G) order 8100
homologyAbelianization (H1) = G · Schur multiplier (H2) = C1

Aliases

cyclicC16202
abelianC2×C8101

Subgroups

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

4 conjugacy classes of subgroups.

Full subgroup data →

Conjugacy classes & character table

16202 conjugacy classes. The character table is too large to display.

Relationships

Fitting subgroup ofDic8101, C2×D8101
socle ofDic8101, C4×C8101, C2×D8101
maximal subgroup ofDic8101, C4×C8101, C2×D8101, …
maximal normal subgroup ofDic8101, C4×C8101, C2×D8101, …
maximal quotient ofC4×C8101, C22×C8101

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(16202, 2);