Finite Group Databasebeta

C4×#22575360 #46809105

order34432
automorphism?
homologyAbelianization (H1) = C43 · Schur multiplier (H2) = C23×C42

Aliases

direct productC4×#22575360

Splittings

SylowC269 ⋊ C4×#95

Subgroups

subgroupG/H
centerC23×C4C2×D269
commutatorC2×C269C43
FrattiniC24C22×D269
FittingC22×C42×C269C2
socle, prime radical, cosocleC24×C269C23
hypercenterC22×C42D269
hypocenterC269C4×#95
LCSG ▷ C2×C269 ▷ C269
UCSC1 ◁ C23×C4 ◁ C22×C42

752 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 34432

Conjugacy classes & character table

8656 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(34432, 2730);