#28365371

order	13952
automorphism	?
homology	Abelianization (H₁) = C₂²×C₄² · Schur multiplier (H₂) = C₂³×C₄²

Aliases

No aliases for this group.

Fitting	#376×C₁₀₉ ⋊ C₂
Sylow	C₁₀₉ ⋊ C₄×#117

752 conjugacy classes of subgroups; only the 341 normal subgroups are shown.

normal subgroups only

This group has 752 conjugacy classes of subgroups — too many to draw. Only its 341 normal subgroups are shown.

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

μ_t(G) = 6976

Polycyclic presentation:

2^7,109|a^2=f,b^2=g,c^2=f,d^2=e,b^a=be,h^c=h^108

2240 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(13952, 6849);