C₈×C₁₆×D₄₇ #26125248

order	12032
isoclinism	isoclinic class of D₄₇
automorphism	?
homology	Abelianization (H₁) = C₂×C₈×C₁₆ · Schur multiplier (H₂) = C₂²×C₈

Aliases

C₈×C₁₆×D₄₇

Fitting	C₈×C₁₆×C₄₇ ⋊ C₂
derived, Sylow	C₄₇ ⋊ C₂×C₈×C₁₆

398 conjugacy classes of subgroups; only the 251 normal subgroups are shown.

normal subgroups only

This group has 398 conjugacy classes of subgroups — too many to draw. Only its 251 normal subgroups are shown.

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

3200 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(12032, 78538);