Finite Group Databasebeta

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C26×C3×C4×C13 #72188656

order9984
nilpotency class1
isoclinismisoclinic class of C1
automorphismAut(G) order 3963363608494080
homologyAbelianization (H1) = G · Schur multiplier (H2) = C221

Aliases

abelianC26×C3×C4×C13

Subgroups

subgroupG/H
centerGC1
commutatorC1G
Frattini, cosocleC2C27×C3×C13
socle, prime radicalC27×C3×C13C2
LCSG ▷ C1
UCSC1 ◁ G

222396 conjugacy classes of subgroups.

Full subgroup data →

Conjugacy classes & character table

9984 conjugacy classes. The character table is too large to display.

Relationships

maximal subgroup ofC26×C3×C8×C13, C25×C3×C42×C13, C27×C3×C4×C13, …
maximal normal subgroup ofC26×C3×C8×C13, C25×C3×C42×C13, C27×C3×C4×C13, …
maximal quotient ofC26×C3×C8×C13, C25×C3×C42×C13, C27×C3×C4×C13, …

GAP

Past the SmallGroups library coverage — no SmallGroups id.