Finite Group Databasebeta

#2875×D67 #31719237

order17152
automorphism?
homologyAbelianization (H1) = C23×C42 · Schur multiplier (H2) = C28×C4

Aliases

direct product#2875×D67

Splittings

FittingC67×#2875 ⋊ C2
SylowC67 ⋊ C2×#2875

Subgroups

subgroupG/H
center, FrattiniC2×C4C24×D67
commutatorC2×C67C23×C42
FittingC67×#2875C2
socleC22×C67C24×C4
prime radicalC2×#41×D67C22
cosocleC2×C4×C67C25
hypercenter#2875D67
hypocenterC67C2×#2875
LCSG ▷ C2×C67 ▷ C67
UCSC1 ◁ C2×C4 ◁ #2875

3278 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, 1032974);