D₄⋊C₈×D₁₂₇ #30637101

order	16256
automorphism	?
homology	Abelianization (H₁) = C₂²×C₈ · Schur multiplier (H₂) = C₂⁴

Aliases

D₄⋊C₈×D₁₂₇

Fitting	D₄⋊C₈×C₁₂₇ ⋊ C₂
Sylow	C₁₂₇ ⋊ C₂×D₄⋊C₈

344 conjugacy classes of subgroups; only the 97 normal subgroups are shown.

normal subgroups only

This group has 344 conjugacy classes of subgroups — too many to draw. Only its 97 normal subgroups are shown.

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

1820 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(16256, 2881);