Finite Group Databasebeta

#2884×D67 #31719302

order17152
automorphism?
homologyAbelianization (H1) = C24×C4 · Schur multiplier (H2) = C210

Aliases

direct product#2884×D67

Splittings

FittingC67×#2884 ⋊ C2
SylowC67 ⋊ C2×#2884

Subgroups

subgroupG/H
centerC2C22×C22⋊C4×D67
commutatorC22×C67C24×C4
FrattiniC23C24×D67
FittingC67×#2884C2
socleC2×C67C23×C22⋊C4
prime radicalC2×2−1+4×D67C2
cosocleC23×C67C25
hypercenter#2884D67
hypocenterC67C2×#2884
LCSG ▷ C22×C67 ▷ C2×C67 ▷ C67
UCSC1 ◁ C2 ◁ C22×Q8 ◁ #2884

4818 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 2144

Conjugacy classes & character table

1435 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(17152, 1033039);