C₂²×#15690532 #27135706

order	12352
automorphism	?
homology	Abelianization (H₁) = C₂³×C₄ · Schur multiplier (H₂) = C₂⁷

Aliases

Fitting	C₂³×C₄×C₁₉₃ ⋊ C₂
Sylow	C₁₉₃ ⋊ C₂²×C₂²⋊C₄

674 conjugacy classes of subgroups.

3112 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(12352, 996);