#43273058

order	28736
automorphism	?
homology	Abelianization (H₁) = C₂²×C₄ · Schur multiplier (H₂) = C₂

Aliases

No aliases for this group.

C₄₄₉ ⋊ #446

	subgroup	G/H
center, Frattini	C₂²	C₂²×#14267798
commutator, socle, prime radical	C₂²×C₄₄₉	C₂²×C₄
Fitting	C₂×Q₈×C₄₄₉	C₄
cosocle	C₂×Dic₄₄₉	C₂³
hypercenter	C₂×Q₈	#14267798
hypocenter	C₄₄₉	#446
LCS	G ▷ C₂²×C₄₄₉ ▷ C₄₄₉
UCS	C₁ ◁ C₂² ◁ C₂×Q₈

94 conjugacy classes of subgroups.

μ_t(G) = 28736

Polycyclic presentation:

2^6,449|a^2=e,b^2=d,c^2=de,e^2=f,b^a=bd,c^a=cf,g^a=g^382,g^c=g^67,g^e=g^448

1148 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(28736, 1600);