Finite Group Databasebeta

C2×#95×Dic67 #30776899

order17152
automorphism?
homologyAbelianization (H1) = C2×C43 · Schur multiplier (H2) = C26×C42

Aliases

direct productC2×#95×Dic67

Splittings

SylowC67 ⋊ C2×C4×#95

Subgroups

subgroupG/H
centerC25C22×D67
commutatorC2×C67C2×C43
FrattiniC24C23×D67
FittingC22×#95×C67C2
socle, prime radicalC25×C67C23
cosocleC24×C67C24
hypercenterC22×#95D67
hypocenterC67C2×C4×#95
LCSG ▷ C2×C67 ▷ C67
UCSC1 ◁ C25 ◁ C22×#95

4462 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 17152

Conjugacy classes & character table

2800 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(17152, 90636);