Finite Group Databasebeta

#46854014

order34976
automorphism?
homologyAbelianization (H1) = C42 · Schur multiplier (H2) = C23

Aliases

No aliases for this group.

Splittings

SylowC1093 ⋊ #95

Subgroups

subgroupG/H
center, FrattiniC23C2×D1093
commutatorC2×C1093C42
FittingC22×C4×C1093C2
socle, prime radical, cosocleC23×C1093C22
hypercenterC22×C4D1093
hypocenterC1093#95
LCSG ▷ C2×C1093 ▷ C1093
UCSC1 ◁ C23 ◁ C22×C4

76 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 34976

Polycyclic presentation:

2^5,1093|a^2=d,b^2=e,b^a=bc,f^b=f^1092

Conjugacy classes & character table

8756 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(34976, 53);