C₂³×#6456 #14260360

order	1792
automorphism	?
homology	Abelianization (H₁) = C₂⁵×C₄ · Schur multiplier (H₂) = C₂¹⁵

Aliases

Fitting	C₂³×C₇×C₄⋊C₄ ⋊ C₂
Sylow	C₇ ⋊ C₂³×C₄×D₄

19998 conjugacy classes of subgroups.

μ_t(G) = 896

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

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(1792, 1076132);