C₂×C₂²⋊C₄×D₁₉₃ #27135705

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

Aliases

C₂×C₂²⋊C₄×D₁₉₃

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

674 conjugacy classes of subgroups; only the 207 normal subgroups are shown.

normal subgroups only

This group has 674 conjugacy classes of subgroups — too many to draw. Only its 207 normal subgroups are shown.

Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.

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

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(12352, 995);