C₈×#13094021 #26224659

order	12032
automorphism	?
homology	Abelianization (H₁) = C₂³×C₈ · Schur multiplier (H₂) = C₂⁵×C₄

Aliases

Fitting	C₄²×C₈×C₄₇ ⋊ C₂
Sylow	C₄₇ ⋊ C₈×#127

1350 conjugacy classes of subgroups; only the 395 normal subgroups are shown.

normal subgroups only

This group has 1350 conjugacy classes of subgroups — too many to draw. Only its 395 normal subgroups are shown.

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

3056 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(12032, 177949);