Q₈⋊C₁₆×D₆₇ #30765628

order	17152
automorphism	?
homology	Abelianization (H₁) = C₂²×C₁₆ · Schur multiplier (H₂) = C₂³

Aliases

Q₈⋊C₁₆×D₆₇

Fitting	C₆₇×Q₈⋊C₁₆ ⋊ C₂
Sylow	C₆₇ ⋊ C₂×Q₈⋊C₁₆

382 conjugacy classes of subgroups.

μ_t(G) = 8576

1960 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(17152, 79365);