Finite Group Databasebeta

C4×D3316 #40997429

order26528
automorphism?
homologyAbelianization (H1) = C22×C4 · Schur multiplier (H2) = C23

Aliases

direct productC4×D3316

Splittings

FittingC42×C829 ⋊ C2
SylowC829 ⋊ C4×D4

Subgroups

subgroupG/H
centerC2×C4C2×D829
commutatorC2×C829C22×C4
FrattiniC22C22×D829
FittingC42×C829C2
socle, cosocleC22×C829C23
prime radicalC2×D3316C2
hypercenterC42D829
hypocenterC829C4×D4
LCSG ▷ C2×C829 ▷ C829
UCSC1 ◁ C2×C4 ◁ C42

94 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 13264

Conjugacy classes & character table

6644 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(26528, 110);