#46825727

order	34432
automorphism	?
homology	Abelianization (H₁) = C₄×C₈ · Schur multiplier (H₂) = C₂³

Aliases

No aliases for this group.

Fitting	C₂²×C₈×C₂₆₉ ⋊ C₄
Sylow	C₂₆₉ ⋊ #1282

228 conjugacy classes of subgroups; only the 60 normal subgroups are shown.

normal subgroups only

This group has 228 conjugacy classes of subgroups — too many to draw. Only its 60 normal subgroups are shown.

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

μ_t(G) = 8608

Polycyclic presentation:

2^7,269|a^2=d,b^2=e,d^2=g,e^2=g,b^a=bc,c^a=cf,h^a=h^187,d^b=df,h^d=h^268

2188 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(34432, 19352);