C₂×C₄×C₂²⋊D₁₉₃ #27135718

order	12352
automorphism	?
homology	Abelianization (H₁) = C₂³×C₄ · Schur multiplier (H₂) = C₂⁶

Aliases

C₂×C₄×C₂²⋊D₁₉₃

Fitting	C₂³×C₄×C₁₉₃ ⋊ C₂
Sylow	C₁₉₃ ⋊ C₂×C₄×D₄

426 conjugacy classes of subgroups; only the 183 normal subgroups are shown.

normal subgroups only

This group has 426 conjugacy classes of subgroups — too many to draw. Only its 183 normal subgroups are shown.

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

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

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(12352, 1008);