Finite Group Databasebeta

C2×C6967 #28358254

order13934
nilpotency class1
isoclinismisoclinic class of C1
automorphismAut(G) order 6966
homologyAbelianization (H1) = G · Schur multiplier (H2) = C1

Aliases

cyclicC13934
abelianC2×C6967

Subgroups

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

4 conjugacy classes of subgroups.

Full subgroup data →

Conjugacy classes & character table

13934 conjugacy classes. The character table is too large to display.

Relationships

Fitting subgroup ofDic6967, C2×D6967
socle ofDic6967, C4×C6967, C2×D6967
maximal subgroup ofDic6967, C4×C6967, C2×D6967, …
maximal normal subgroup ofDic6967, C4×C6967, C2×D6967, …
maximal quotient ofC4×C6967, C22×C6967

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(13934, 2);