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2−1+4×C433 #28357124

order13856
nilpotency class2
isoclinismisoclinic class of H(5,𝔽2)
automorphism?
homologyAbelianization (H1) = C24×C433 · Schur multiplier (H2) = C25

Aliases

direct product2−1+4×C433

Subgroups

subgroupG/H
center, socleC2×C433C24
commutator, Frattini, cosocleC2C24×C433
LCSG ▷ C2 ▷ C1
UCSC1 ◁ C2×C433 ◁ G

146 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 6928

Conjugacy classes & character table

7361 conjugacy classes. The character table is too large to display.

Relationships

Fitting subgroup of#42121984, #42121994, #42122619, …
maximal subgroup of#454×C433, #456×C433, #577×C433, …
maximal normal subgroup of#454×C433, #456×C433, #577×C433, …
maximal quotient of#519×C433, #520×C433, #536×C433, …

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(13856, 50);