#28383714

order	14272
automorphism	?
homology	Abelianization (H₁) = C₂³ · Schur multiplier (H₂) = C₂⁴

Aliases

No aliases for this group.

Fitting	C₂²×D₄×C₂₂₃ ⋊ C₂
Sylow	C₂₂₃ ⋊ #447

198 conjugacy classes of subgroups; only the 51 normal subgroups are shown.

normal subgroups only

This group has 198 conjugacy classes of subgroups — too many to draw. Only its 51 normal subgroups are shown.

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

μ_t(G) = 3568

Polycyclic presentation:

2^6,223|d^2=f,b^a=bd,c^a=ce,d^a=df,g^a=g^222,d^b=df

2239 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(14272, 683);