C₂×C₄×C₄⋊C₄×D₆₇ #31014007

order	17152
automorphism	?
homology	Abelianization (H₁) = C₂³×C₄² · Schur multiplier (H₂) = C₂⁹×C₄

Aliases

C₂×C₄×C₄⋊C₄×D₆₇

Fitting	C₂×C₄×C₄⋊C₄×C₆₇ ⋊ C₂
Sylow	C₆₇ ⋊ C₂²×C₄×C₄⋊C₄

5758 conjugacy classes of subgroups.

μ_t(G) = 8576

2800 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(17152, 327744);