Finite Group Databasebeta

#2982×D67 #31720767

order17152
automorphism?
homologyAbelianization (H1) = C24×C8 · Schur multiplier (H2) = C29

Aliases

direct product#2982×D67

Splittings

FittingC67×#2982 ⋊ C2
SylowC67 ⋊ C2×#2982

Subgroups

subgroupG/H
center, FrattiniC2×C4C24×D67
commutatorC2×C67C24×C8
FittingC67×#2982C2
socleC22×C67C24×C4
prime radicalC23×D67C22×C4
cosocleC2×C4×C67C25
hypercenter#2982D67
hypocenterC67C2×#2982
LCSG ▷ C2×C67 ▷ C67
UCSC1 ◁ C2×C4 ◁ #2982

2234 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 4288

Conjugacy classes & character table

2380 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(17152, 1034504);