Finite Group Databasebeta

#2195×D67 #31009774

order17152
automorphism?
homologyAbelianization (H1) = C24 · Schur multiplier (H2) = C26

Aliases

direct product#2195×D67

Splittings

FittingC67×#2195 ⋊ C2
SylowC67 ⋊ C2×#2195

Subgroups

subgroupG/H
centerC2#447×D67
commutator, cosocleC2×C8×C67C24
FrattiniC2×C8C23×D67
FittingC67×#2195C2
socleC2×C67C2×#447
prime radical#578×D67C2
hypercenter#2195D67
hypocenterC67C2×#2195
LCSG ▷ C2×C8×C67 ▷ C4×C67 ▷ C2×C67 ▷ C67
UCSC1 ◁ C2 ◁ C2×C4 ◁ #131 ◁ #2195

1078 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 4288

Conjugacy classes & character table

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

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(17152, 323511);