#28365384

order	13952
automorphism	?
homology	Abelianization (H₁) = C₂²×C₄² · Schur multiplier (H₂) = C₂⁴×C₄

Aliases

No aliases for this group.

Fitting	C₄×C₂²⋊C₄×C₁₀₉ ⋊ C₂
Sylow	C₁₀₉ ⋊ #2273

912 conjugacy classes of subgroups; only the 325 normal subgroups are shown.

normal subgroups only

This group has 912 conjugacy classes of subgroups — too many to draw. Only its 325 normal subgroups are shown.

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

μ_t(G) = 3488

Polycyclic presentation:

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

2228 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(13952, 6862);