Finite Group Databasebeta

#2988×D67 #31720873

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

Aliases

direct product#2988×D67

Splittings

FittingC67×#2988 ⋊ C2
SylowC67 ⋊ C2×#2988

Subgroups

subgroupG/H
center, FrattiniC2×C4C24×D67
commutatorC2×C67C24×C8
FittingC67×#2988C2
socleC22×C67C24×C4
prime radicalC2×#41×D67C4
cosocleC2×C4×C67C25
hypercenter#2988D67
hypocenterC67C2×#2988
LCSG ▷ C2×C67 ▷ C67
UCSC1 ◁ C2×C4 ◁ #2988

2434 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, 1034610);