C₄×#19149662 #36356085

order	22144
automorphism	?
homology	Abelianization (H₁) = C₂³×C₄ · Schur multiplier (H₂) = C₂⁵

Aliases

Fitting	C₂²×C₄²×C₁₇₃ ⋊ C₂
Sylow	C₁₇₃ ⋊ C₄×#123

688 conjugacy classes of subgroups.

μ_t(G) = 11072

5560 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(22144, 7032);