Subgroups — D₄₃×#3290 #25972799

Order 11008.

2650 conjugacy classes of subgroups.

The subgroup lattice has 1638 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#578×D₄₃	C₂	1	1	yes	maximal, characteristic, complemented
2	#577×D₄₃	C₂	1	2	yes	maximal, complemented
3	#576×D₄₃	C₂	1	1	yes	maximal, characteristic, complemented
4	#19146384	C₂	1	1	yes	maximal, characteristic, complemented
5	#19146383	C₂	1	1	yes	maximal, characteristic, complemented
6	#19146382	C₂	1	1	yes	maximal, characteristic, complemented
7	#19146381	C₂	1	1	yes	maximal, characteristic, complemented
8	#19146380	C₂	1	1	yes	maximal, characteristic, complemented
9	#19146379	C₂	1	2	yes	maximal, complemented
10	#19146378	C₂	1	2	yes	maximal, complemented
11	#19146377	C₂	1	1	yes	maximal, characteristic, complemented
12	#19146376	C₂	1	1	yes	maximal, characteristic, complemented
13	#19146375	C₂	1	2	yes	maximal, complemented
14	#19146374	C₂	1	2	yes	maximal, complemented
15	#495×D₄₃	C₂	1	1	yes	maximal, characteristic, complemented
16	#473×D₄₃	C₂	1	1	yes	maximal, characteristic, complemented
17	#472×D₄₃	C₂	1	1	yes	maximal, characteristic, complemented
18	#471×D₄₃	C₂	1	2	yes	maximal, complemented
19	#454×D₄₃	C₂	1	2	yes	maximal, complemented
20	#455×D₄₃	C₂	1	2	yes	maximal, complemented
21	#443×D₄₃	C₂	1	1	yes	maximal, characteristic, complemented
22	#443×D₄₃	C₂	1	1	yes	maximal, characteristic, complemented
23	C₄₃×#3290	C₂	1	1	yes	maximal, characteristic, complemented
24	2₋¹⁺⁴×D₄₃	C₂²	1	2	yes	complemented
25	H(5,𝔽₂)×D₄₃	C₂²	1	2	yes	—
26	#14583716	C₂²	1	1	yes	characteristic, complemented
27	#14583715	—	2	2	no	—
28	#14583715	C₂²	1	2	yes	complemented
29	#14583714	C₂²	1	2	yes	complemented
30	#14583713	—	2	1	no	—
31	#14583713	C₂²	1	1	yes	characteristic, complemented
32	#14583712	—	2	1	no	—
33	#14583712	C₂²	1	1	yes	characteristic, complemented
34	#14583711	C₂²	1	2	yes	complemented
35	#14583710	C₂²	1	2	yes	complemented
36	#14583709	—	2	2	no	—
37	#14583709	C₂²	1	2	yes	complemented
38	#14583708	—	2	2	no	—
39	#14583708	C₂²	1	2	yes	complemented
40	#14583707	C₂²	1	2	yes	complemented
41	#14583706	—	2	2	no	—
42	#14583706	C₂²	1	2	yes	complemented
43	#14583705	—	2	2	no	—
44	#14583705	C₂²	1	2	yes	complemented
45	#14583704	C₂²	1	1	yes	characteristic, complemented
46	#14583703	—	2	2	no	—
47	#14583703	C₂²	1	2	yes	complemented
48	#14583702	C₂²	1	2	yes	complemented
49	#14583701	—	2	1	no	—
50	#14583701	C₂²	1	1	yes	characteristic, complemented
51	#14583700	—	2	1	no	—
52	#14583700	C₂²	1	1	yes	characteristic, complemented
53	#137×D₄₃	—	2	2	no	—
54	#137×D₄₃	—	2	2	no	—
55	#137×D₄₃	C₂²	1	2	yes	—
56	#137×D₄₃	C₂²	1	2	yes	complemented
57	AGL(1,ℤ/8)×D₄₃	—	2	2	no	—
58	AGL(1,ℤ/8)×D₄₃	—	2	2	no	—
59	AGL(1,ℤ/8)×D₄₃	C₂²	1	2	yes	—
60	AGL(1,ℤ/8)×D₄₃	C₂²	1	2	yes	complemented
61	#135×D₄₃	—	2	1	no	—
62	#135×D₄₃	—	2	2	no	—
63	#135×D₄₃	—	2	1	no	—
64	#135×D₄₃	C₂²	1	1	yes	characteristic
65	#135×D₄₃	C₂²	1	1	yes	characteristic
66	C₂×Q₁₆×D₄₃	—	2	1	no	—
67	C₂×Q₁₆×D₄₃	C₂²	1	1	yes	characteristic, complemented
68	C₂×SD₁₆×D₄₃	—	2	2	no	—
69	C₂×SD₁₆×D₄₃	C₂²	1	2	yes	complemented
70	C₂×D₈×D₄₃	—	2	1	no	—
71	C₂×D₈×D₄₃	C₂²	1	1	yes	characteristic
72	#131×D₄₃	C₂²	1	1	yes	characteristic
73	#131×D₄₃	C₂²	1	2	yes	complemented
74	#131×D₄₃	C₂²	1	1	yes	characteristic, complemented
75	#124×D₄₃	C₂²	1	2	yes	complemented
76	#14583284	C₂²	1	1	yes	characteristic, complemented
77	#14583283	C₂²	1	1	yes	characteristic, complemented
78	#14583282	C₂²	1	1	yes	characteristic, complemented
79	#14583281	C₂²	1	2	yes	complemented
80	#14583280	C₂²	1	2	yes	complemented
81	#14583175	C₂²	1	1	yes	characteristic, complemented
82	#14583174	C₂²	1	1	yes	characteristic, complemented
83	#14583173	C₂²	1	2	yes	complemented
84	#14583172	C₂²	1	2	yes	complemented
85	#14583171	C₂²	1	1	yes	characteristic, complemented
86	#14583170	C₂²	1	1	yes	characteristic, complemented
87	#14583169	C₂²	1	1	yes	characteristic, complemented
88	#14583168	C₂²	1	2	yes	complemented
89	#14583167	C₂²	1	2	yes	complemented
90	#14583166	C₂²	1	1	yes	characteristic, complemented
91	#14583165	C₂²	1	2	yes	complemented
92	#14583164	C₂²	1	2	yes	complemented
93	#14583163	C₂²	1	2	yes	complemented
94	#14583162	C₂²	1	2	yes	complemented
95	#14583161	C₂²	1	2	yes	complemented
96	#14583160	C₂²	1	2	yes	complemented
97	#14583159	C₂²	1	2	yes	complemented
98	#14583079	C₂²	1	2	yes	complemented
99	#14583078	C₂²	1	2	yes	complemented
100	#14583078	C₂²	1	2	yes	complemented
101	#14583077	C₂²	1	2	yes	complemented
102	#14583076	C₂²	1	2	yes	complemented
103	#14583075	C₂²	1	2	yes	complemented
104	#14583075	C₂²	1	2	yes	complemented
105	#14583074	C₂²	1	2	yes	complemented
106	#14583073	C₂²	1	2	yes	complemented
107	#14583073	C₂²	1	2	yes	complemented
108	#14583072	C₂²	1	2	yes	complemented
109	#14583071	C₂²	1	2	yes	complemented
110	#14583070	C₂²	1	2	yes	complemented
111	#14583070	C₂²	1	2	yes	complemented
112	#14583017	C₂²	1	1	yes	characteristic, complemented
113	#14583017	C₂²	1	1	yes	characteristic, complemented
114	#14583016	C₂²	1	1	yes	characteristic, complemented
115	#14583016	C₂²	1	1	yes	characteristic, complemented
116	#14583015	C₂²	1	1	yes	characteristic, complemented
117	#14583015	C₂²	1	1	yes	characteristic, complemented
118	#14583014	C₂²	1	1	yes	characteristic, complemented
119	#14583014	C₂²	1	1	yes	characteristic, complemented
120	#14583014	C₂²	1	2	yes	complemented
121	#14583013	C₂²	1	1	yes	characteristic, complemented
122	#14583013	C₂²	1	1	yes	characteristic, complemented
123	#14583013	C₂²	1	2	yes	complemented
124	#108×D₄₃	C₂²	1	1	yes	characteristic, complemented
125	#108×D₄₃	C₂²	1	1	yes	characteristic, complemented
126	#104×D₄₃	C₂²	1	1	yes	characteristic
127	#104×D₄₃	C₂²	1	2	yes	complemented
128	#104×D₄₃	C₂²	1	1	yes	characteristic, complemented
129	#101×D₄₃	C₂²	1	2	yes	complemented
130	#100×D₄₃	C₂²	1	2	yes	complemented
131	C₄×C₈×D₄₃	C₂²	1	1	yes	characteristic, complemented
132	C₄₃×#578	C₂²	1	1	yes	characteristic, complemented
133	C₄₃×#577	C₂²	1	2	yes	complemented
134	C₄₃×#576	C₂²	1	1	yes	characteristic, complemented
135	C₄₃×#495	C₂²	1	1	yes	characteristic, complemented
136	C₄₃×#473	C₂²	1	1	yes	characteristic, complemented
137	C₄₃×#472	C₂²	1	1	yes	characteristic, complemented
138	C₄₃×#471	C₂²	1	2	yes	complemented
139	C₄₃×#455	C₂²	1	2	yes	complemented
140	C₄₃×#454	C₂²	1	2	yes	complemented
141	C₄₃×#443	C₂²	1	1	yes	characteristic, complemented
142	C₄₃×#443	C₂²	1	1	yes	characteristic, complemented
143	#13063373	—	2	2	no	—
144	#13063373	—	2	2	no	—
145	#13063373	C₂³	1	2	yes	complemented
146	#13063372	—	2	2	no	—
147	#13063372	—	2	2	no	—
148	#13063372	—	4	2	no	—
149	#13063372	C₂³	1	2	yes	complemented
150	#13063372	C₂³	1	2	yes	complemented
151	#13063371	—	2	2	no	—
152	#13063371	—	2	2	no	—
153	#13063371	C₂³	1	2	yes	—
154	#13063371	C₂³	1	2	yes	—
155	#13063370	—	2	2	no	—
156	#13063370	—	2	2	no	—
157	#13063370	—	4	2	no	—
158	#13063370	C₂³	1	2	yes	—
159	#41×D₄₃	—	2	2	no	—
160	#41×D₄₃	—	2	2	no	—
161	#41×D₄₃	—	2	2	no	—
162	#41×D₄₃	—	2	2	no	—
163	#41×D₄₃	—	4	2	no	—
164	#41×D₄₃	C₂³	1	1	yes	characteristic
165	#41×D₄₃	C₂³	1	2	yes	—
166	#41×D₄₃	C₂³	1	1	yes	characteristic
167	C₂×Q₈×D₄₃	—	2	2	no	—
168	C₂×Q₈×D₄₃	—	2	2	no	—
169	C₂×Q₈×D₄₃	C₂³	1	2	yes	—
170	C₂×D₄×D₄₃	—	2	2	no	—
171	C₂×D₄×D₄₃	—	2	2	no	—
172	C₂×D₄×D₄₃	—	4	2	no	—
173	C₂×D₄×D₄₃	C₂³	1	2	yes	—
174	#13063358	—	2	2	no	—
175	#13063358	—	2	2	no	—
176	#13063358	C₂³	1	2	yes	—
177	#13063358	C₂³	1	2	yes	complemented
178	#13063357	—	2	2	no	—
179	#13063357	—	2	2	no	—
180	#13063357	—	2	2	no	—
181	#13063357	—	2	2	no	—
182	#13063357	—	2	2	no	—
183	#13063357	—	2	2	no	—
184	#13063356	—	2	2	no	—
185	#13063356	—	2	2	no	—
186	#13063356	C₂³	1	2	yes	—
187	#13063356	C₂³	1	2	yes	complemented
188	#13063355	—	2	2	no	—
189	#13063355	—	2	2	no	—
190	#13063355	C₂³	1	2	yes	—
191	#13063355	C₂³	1	2	yes	complemented
192	#13063354	—	2	2	no	—
193	#13063354	—	2	2	no	—
194	#13063354	—	2	2	no	—
195	#13063354	—	2	2	no	—
196	#13063354	—	2	2	no	—
197	#13063354	—	2	2	no	—
198	#13063353	—	2	2	no	—
199	#13063353	—	2	2	no	—
200	#13063353	C₂³	1	2	yes	—
201	#13063353	C₂³	1	2	yes	complemented
202	#13063352	—	2	2	no	—
203	#13063352	—	2	2	no	—
204	#13063352	—	2	2	no	—
205	#13063352	—	2	2	no	—
206	#13063352	—	2	2	no	—
207	#13063352	—	2	2	no	—
208	#13063351	—	2	2	no	—
209	#13063351	—	2	2	no	—
210	#13063351	C₂³	1	2	yes	—
211	#13063351	C₂³	1	2	yes	complemented
212	#13063350	—	2	2	no	—
213	#13063350	—	2	2	no	—
214	#13063350	C₂³	1	2	yes	—
215	#13063350	C₂³	1	2	yes	complemented
216	#13063349	—	2	2	no	—
217	#13063349	—	2	2	no	—
218	#13063349	—	2	2	no	—
219	#13063349	—	2	2	no	—
220	#13063349	—	2	2	no	—
221	#13063349	—	2	2	no	—
222	#13063348	—	2	1	no	—
223	#13063348	—	2	2	no	—
224	#13063348	—	2	1	no	—
225	#13063348	D₄	1	1	yes	characteristic
226	#13063348	D₄	1	1	yes	characteristic
227	#13063347	—	2	1	no	—
228	#13063347	—	2	1	no	—
229	#13063347	—	2	2	no	—
230	#13063347	C₂³	1	1	yes	characteristic
231	#13063347	C₂³	1	1	yes	characteristic
232	#13063346	—	2	2	no	—
233	#13063346	—	2	2	no	—
234	#13063346	—	2	2	no	—
235	#13063346	—	2	2	no	—
236	#13063346	D₄	1	2	yes	—
237	#13063346	D₄	1	1	yes	characteristic
238	#13063346	D₄	1	1	yes	characteristic
239	#13063345	—	2	2	no	—
240	#13063345	—	2	2	no	—
241	#13063345	—	2	2	no	—
242	#13063345	—	2	2	no	—
243	#13063345	C₂³	1	2	yes	—
244	#13063345	C₂³	1	1	yes	characteristic
245	#13063345	C₂³	1	1	yes	characteristic
246	#13063344	—	2	1	no	—
247	#13063344	—	2	2	no	—
248	#13063344	—	2	1	no	—
249	#13063344	D₄	1	1	yes	characteristic
250	#13063344	D₄	1	1	yes	characteristic
251	C₂×Dic₁₇₂	—	2	1	no	—
252	C₂×Dic₁₇₂	C₂³	1	1	yes	characteristic, complemented
253	C₂×#10621885	—	2	2	no	—
254	C₂×#10621885	C₂³	1	2	yes	complemented
255	Q₁₆×D₄₃	—	2	2	no	—
256	Q₁₆×D₄₃	—	2	2	no	—
257	Q₁₆×D₄₃	—	2	1	no	—
258	Q₁₆×D₄₃	—	2	2	no	—
259	Q₁₆×D₄₃	—	2	1	no	—
260	Q₁₆×D₄₃	—	2	1	no	—
261	Q₁₆×D₄₃	—	2	1	no	—
262	Q₁₆×D₄₃	—	2	1	no	—
263	Q₁₆×D₄₃	—	2	1	no	—
264	Q₁₆×D₄₃	D₄	1	1	yes	characteristic
265	Q₁₆×D₄₃	D₄	1	1	yes	characteristic
266	C₂×#10621873	—	2	2	no	—
267	C₂×#10621873	C₂³	1	2	yes	complemented
268	C₂×#10621883	—	2	2	no	—
269	C₂×#10621883	C₂³	1	2	yes	complemented
270	C₂×#10621884	—	2	2	no	—
271	C₂×#10621884	C₂³	1	2	yes	complemented
272	SD₁₆×D₄₃	—	2	2	no	—
273	SD₁₆×D₄₃	—	2	2	no	—
274	SD₁₆×D₄₃	—	2	2	no	—
275	SD₁₆×D₄₃	—	2	2	no	—
276	SD₁₆×D₄₃	—	2	2	no	—
277	SD₁₆×D₄₃	—	2	2	no	—
278	SD₁₆×D₄₃	—	2	2	no	—
279	SD₁₆×D₄₃	—	2	2	no	—
280	SD₁₆×D₄₃	—	2	2	no	—
281	SD₁₆×D₄₃	—	2	2	no	—
282	SD₁₆×D₄₃	—	2	2	no	—
283	SD₁₆×D₄₃	—	2	2	no	—
284	SD₁₆×D₄₃	D₄	1	1	yes	characteristic
285	SD₁₆×D₄₃	D₄	1	1	yes	characteristic
286	SD₁₆×D₄₃	D₄	1	2	yes	—
287	C₂×D₃₄₄	—	2	1	no	—
288	C₂×D₃₄₄	C₂³	1	1	yes	characteristic
289	C₂×#10621882	—	2	2	no	—
290	C₂×#10621882	C₂³	1	2	yes	—
291	D₈×D₄₃	—	2	2	no	—
292	D₈×D₄₃	—	2	2	no	—
293	D₈×D₄₃	—	2	1	no	—
294	D₈×D₄₃	—	2	2	no	—
295	D₈×D₄₃	—	2	1	no	—
296	D₈×D₄₃	—	2	1	no	—
297	D₈×D₄₃	—	2	1	no	—
298	D₈×D₄₃	—	2	1	no	—
299	D₈×D₄₃	—	2	1	no	—
300	D₈×D₄₃	D₄	1	1	yes	characteristic
301	D₈×D₄₃	D₄	1	1	yes	characteristic
302	#13063333	—	2	1	no	—
303	#13063333	—	2	2	no	—
304	#13063333	—	2	1	no	—
305	#13063333	C₂³	1	1	yes	characteristic
306	#13063333	C₂³	1	2	yes	complemented
307	#13063333	C₂³	1	1	yes	characteristic, complemented
308	#13063332	C₂³	1	1	yes	characteristic
309	#13063332	C₂³	1	2	yes	complemented
310	#13063332	C₂³	1	1	yes	characteristic, complemented
311	#13063331	—	2	1	no	—
312	#13063331	—	2	2	no	—
313	#13063331	—	2	1	no	—
314	#13063331	C₂³	1	1	yes	characteristic
315	#13063331	C₂³	1	2	yes	complemented
316	#13063331	C₂³	1	1	yes	characteristic, complemented
317	M₁₆×D₄₃	—	2	1	no	—
318	M₁₆×D₄₃	—	2	2	no	—
319	M₁₆×D₄₃	—	2	1	no	—
320	M₁₆×D₄₃	C₂³	1	1	yes	characteristic
321	M₁₆×D₄₃	C₂³	1	2	yes	—
322	M₁₆×D₄₃	C₂³	1	1	yes	characteristic
323	C₂×C₈×D₄₃	—	2	1	no	—
324	C₂×C₈×D₄₃	—	2	2	no	—
325	C₂×C₈×D₄₃	—	2	1	no	—
326	C₂×C₈×D₄₃	C₂³	1	1	yes	characteristic
327	C₂×C₈×D₄₃	C₂³	1	1	yes	characteristic
328	#13063314	C₂³	1	2	yes	complemented
329	#13063313	C₂³	1	2	yes	complemented
330	#13063312	C₂³	1	2	yes	complemented
331	#13063311	—	4	2	no	—
332	C₂²⋊C₄×D₄₃	—	4	2	no	—
333	C₄²×D₄₃	C₂³	1	1	yes	characteristic
334	#13063261	C₂³	1	1	yes	characteristic, complemented
335	#13063261	C₂³	1	1	yes	characteristic, complemented
336	#13063260	C₂³	1	1	yes	characteristic, complemented
337	#13063260	C₂³	1	1	yes	characteristic, complemented
338	#13063260	C₂³	1	2	yes	complemented
339	#13063253	C₂³	1	1	yes	characteristic
340	#13063253	C₂³	1	1	yes	characteristic, complemented
341	#13063253	C₂³	1	2	yes	complemented
342	#13063252	C₂³	1	1	yes	characteristic
343	#13063252	C₂³	1	1	yes	characteristic, complemented
344	#13063252	C₂³	1	2	yes	complemented
345	#13063251	C₂³	1	1	yes	characteristic
346	#13063251	C₂³	1	1	yes	characteristic, complemented
347	#13063251	C₂³	1	2	yes	complemented
348	#13063244	C₂³	1	2	yes	complemented
349	#13063243	C₂³	1	2	yes	complemented
350	#13063243	C₂³	1	2	yes	complemented
351	#13063242	C₂³	1	2	yes	complemented
352	#13063241	C₂³	1	2	yes	complemented
353	#13063241	C₂³	1	2	yes	complemented
354	C₄×C₄₃⋊C₈	C₂³	1	1	yes	characteristic, complemented
355	C₈×Dic₄₃	C₂³	1	1	yes	characteristic, complemented
356	C₈×Dic₄₃	C₂³	1	1	yes	characteristic, complemented
357	2₋¹⁺⁴×C₄₃	C₂³	1	2	yes	complemented
358	H(5,𝔽₂)×C₄₃	C₂³	1	2	yes	—
359	#137×C₄₃	—	2	2	no	—
360	#137×C₄₃	—	2	2	no	—
361	#137×C₄₃	C₂³	1	2	yes	—
362	#137×C₄₃	C₂³	1	2	yes	complemented
363	AGL(1,ℤ/8)×C₄₃	—	2	2	no	—
364	AGL(1,ℤ/8)×C₄₃	—	2	2	no	—
365	AGL(1,ℤ/8)×C₄₃	C₂³	1	2	yes	—
366	AGL(1,ℤ/8)×C₄₃	C₂³	1	2	yes	complemented
367	#135×C₄₃	—	2	1	no	—
368	#135×C₄₃	—	2	2	no	—
369	#135×C₄₃	—	2	1	no	—
370	#135×C₄₃	C₂³	1	1	yes	characteristic
371	#135×C₄₃	C₂³	1	1	yes	characteristic
372	C₂×Q₁₆×C₄₃	—	2	1	no	—
373	C₂×Q₁₆×C₄₃	C₂³	1	1	yes	characteristic, complemented
374	C₂×SD₁₆×C₄₃	—	2	2	no	—
375	C₂×SD₁₆×C₄₃	C₂³	1	2	yes	complemented
376	C₂×D₈×C₄₃	—	2	1	no	—
377	C₂×D₈×C₄₃	C₂³	1	1	yes	characteristic
378	#131×C₄₃	C₂³	1	1	yes	characteristic
379	#131×C₄₃	C₂³	1	2	yes	complemented
380	#131×C₄₃	C₂³	1	1	yes	characteristic, complemented
381	#124×C₄₃	C₂³	1	2	yes	complemented
382	#108×C₄₃	C₂³	1	1	yes	characteristic, complemented
383	#108×C₄₃	C₂³	1	1	yes	characteristic, complemented
384	#104×C₄₃	C₂³	1	1	yes	characteristic
385	#104×C₄₃	C₂³	1	1	yes	characteristic, complemented
386	#104×C₄₃	C₂³	1	2	yes	complemented
387	#101×C₄₃	C₂³	1	2	yes	complemented
388	#100×C₄₃	C₂³	1	2	yes	complemented
389	C₄×C₈×C₄₃	C₂³	1	1	yes	characteristic, complemented
390	C₂³×D₄₃	—	2	2	no	—
391	C₂³×D₄₃	—	4	2	no	—
392	#41×C₄₃	—	2	2	no	—
393	#41×C₄₃	—	2	2	no	—
394	#41×C₄₃	—	2	2	no	—
395	#41×C₄₃	—	2	2	no	—
396	#41×C₄₃	—	4	2	no	—
397	#41×C₄₃	C₂⁴	1	1	yes	characteristic
398	#41×C₄₃	C₂⁴	1	2	yes	—
399	#41×C₄₃	C₂⁴	1	1	yes	characteristic
400	C₂×Q₈×C₄₃	—	2	2	no	—
401	C₂×Q₈×C₄₃	—	2	2	no	—
402	C₂×Q₈×C₄₃	C₂⁴	1	2	yes	—
403	C₂×D₄×C₄₃	—	2	2	no	—
404	C₂×D₄×C₄₃	—	2	2	no	—
405	C₂×D₄×C₄₃	—	4	2	no	—
406	C₂×D₄×C₄₃	C₂⁴	1	2	yes	—
407	C₂×C₂²⋊D₄₃	—	2	2	no	—
408	C₂×C₂²⋊D₄₃	—	4	2	no	—
409	C₂×C₂²⋊D₄₃	—	4	2	no	—
410	C₂×C₂²⋊D₄₃	—	4	2	no	—
411	C₂×C₂²⋊D₄₃	—	4	2	no	—
412	#10621902	—	2	2	no	—
413	#10621902	—	2	2	no	—
414	#10621902	—	2	2	no	—
415	#10621902	—	2	2	no	—
416	#10621902	—	4	2	no	—
417	#10621902	C₂×D₄	1	1	yes	characteristic
418	#10621902	C₂×D₄	1	2	yes	—
419	#10621902	C₂×D₄	1	1	yes	characteristic
420	Q₈×D₄₃	—	2	2	no	—
421	Q₈×D₄₃	—	2	2	no	—
422	Q₈×D₄₃	—	2	2	no	—
423	Q₈×D₄₃	—	2	2	no	—
424	Q₈×D₄₃	—	2	2	no	—
425	Q₈×D₄₃	—	2	2	no	—
426	Q₈×D₄₃	—	2	2	no	—
427	Q₈×D₄₃	—	2	2	no	—
428	Q₈×D₄₃	—	4	2	no	—
429	Q₈×D₄₃	—	4	2	no	—
430	Q₈×D₄₃	—	4	2	no	—
431	Q₈×D₄₃	C₂×D₄	1	1	yes	characteristic
432	Q₈×D₄₃	C₂×D₄	1	2	yes	—
433	Q₈×D₄₃	C₂×D₄	1	1	yes	characteristic
434	#10621900	—	2	1	no	—
435	#10621900	—	2	2	no	—
436	#10621900	—	2	1	no	—
437	#10621900	—	2	2	no	—
438	#10621900	—	2	2	no	—
439	#10621900	—	2	2	no	—
440	#10621900	—	2	2	no	—
441	#10621900	—	4	2	no	—
442	#10621900	—	4	2	no	—
443	#10621900	—	4	2	no	—
444	#10621900	—	4	2	no	—
445	#10621900	—	4	2	no	—
446	#10621900	—	4	2	no	—
447	#10621900	—	4	2	no	—
448	#10621900	C₂×D₄	1	1	yes	characteristic
449	#10621900	C₂×D₄	1	2	yes	—
450	#10621900	C₂×D₄	1	1	yes	characteristic
451	D₄×D₄₃	—	2	1	no	—
452	D₄×D₄₃	—	2	2	no	—
453	D₄×D₄₃	—	2	1	no	—
454	D₄×D₄₃	—	2	2	no	—
455	D₄×D₄₃	—	2	2	no	—
456	D₄×D₄₃	—	2	2	no	—
457	D₄×D₄₃	—	2	2	no	—
458	D₄×D₄₃	—	2	2	no	—
459	D₄×D₄₃	—	2	2	no	—
460	D₄×D₄₃	—	2	2	no	—
461	D₄×D₄₃	—	2	2	no	—
462	D₄×D₄₃	—	4	2	no	—
463	D₄×D₄₃	—	4	2	no	—
464	D₄×D₄₃	—	4	2	no	—
465	D₄×D₄₃	—	4	2	no	—
466	D₄×D₄₃	—	4	2	no	—
467	D₄×D₄₃	—	4	2	no	—
468	D₄×D₄₃	—	4	2	no	—
469	D₄×D₄₃	—	4	2	no	—
470	D₄×D₄₃	—	4	2	no	—
471	D₄×D₄₃	C₂×D₄	1	1	yes	characteristic
472	D₄×D₄₃	C₂×D₄	1	2	yes	—
473	D₄×D₄₃	C₂×D₄	1	1	yes	characteristic
474	#10621898	—	2	1	no	—
475	#10621898	—	2	2	no	—
476	#10621898	—	2	1	no	—
477	#10621898	—	2	2	no	—
478	#10621898	—	2	2	no	—
479	#10621898	—	2	2	no	—
480	#10621898	—	2	2	no	—
481	#10621898	—	4	2	no	—
482	#10621898	—	4	2	no	—
483	#10621898	—	4	2	no	—
484	#10621898	—	4	2	no	—
485	#10621898	—	4	2	no	—
486	#10621898	—	4	2	no	—
487	#10621898	—	4	2	no	—
488	#10621898	C₂⁴	1	1	yes	characteristic
489	#10621898	C₂⁴	1	2	yes	—
490	#10621898	C₂⁴	1	1	yes	characteristic
491	C₂×D₁₇₂	—	2	2	no	—
492	C₂×D₁₇₂	—	2	2	no	—
493	C₂×D₁₇₂	—	4	2	no	—
494	C₂×D₁₇₂	C₂⁴	1	2	yes	—
495	C₂×C₄×D₄₃	—	2	1	no	—
496	C₂×C₄×D₄₃	—	2	2	no	—
497	C₂×C₄×D₄₃	—	2	1	no	—
498	C₂×C₄×D₄₃	—	2	1	no	—
499	C₂×C₄×D₄₃	—	2	2	no	—
500	C₂×C₄×D₄₃	—	4	2	no	—
501	C₂×C₄×D₄₃	—	4	2	no	—
502	C₂×C₄×D₄₃	—	4	2	no	—
503	C₂×C₄×D₄₃	C₂⁴	1	1	yes	characteristic
504	C₂×Dic₈₆	—	2	2	no	—
505	C₂×Dic₈₆	—	2	2	no	—
506	C₂×Dic₈₆	—	2	2	no	—
507	C₂×Dic₈₆	—	4	2	no	—
508	C₂×Dic₈₆	—	4	2	no	—
509	C₂×Dic₈₆	C₂⁴	1	2	yes	—
510	Q₁₆×C₄₃	—	2	2	no	—
511	Q₁₆×C₄₃	—	2	2	no	—
512	Q₁₆×C₄₃	—	2	1	no	—
513	Q₁₆×C₄₃	—	2	1	no	—
514	Q₁₆×C₄₃	C₂×D₄	1	1	yes	characteristic
515	Q₁₆×C₄₃	C₂×D₄	1	1	yes	characteristic
516	SD₁₆×C₄₃	—	2	2	no	—
517	SD₁₆×C₄₃	—	2	2	no	—
518	SD₁₆×C₄₃	—	2	2	no	—
519	SD₁₆×C₄₃	—	2	2	no	—
520	SD₁₆×C₄₃	—	2	2	no	—
521	SD₁₆×C₄₃	—	2	2	no	—
522	SD₁₆×C₄₃	C₂×D₄	1	1	yes	characteristic
523	SD₁₆×C₄₃	C₂×D₄	1	1	yes	characteristic
524	SD₁₆×C₄₃	C₂×D₄	1	2	yes	—
525	D₈×C₄₃	—	2	2	no	—
526	D₈×C₄₃	—	2	2	no	—
527	D₈×C₄₃	—	2	1	no	—
528	D₈×C₄₃	—	2	1	no	—
529	D₈×C₄₃	C₂×D₄	1	1	yes	characteristic
530	D₈×C₄₃	C₂×D₄	1	1	yes	characteristic
531	M₁₆×C₄₃	—	2	1	no	—
532	M₁₆×C₄₃	—	2	2	no	—
533	M₁₆×C₄₃	—	2	1	no	—
534	M₁₆×C₄₃	C₂⁴	1	1	yes	characteristic
535	M₁₆×C₄₃	C₂⁴	1	2	yes	—
536	M₁₆×C₄₃	C₂⁴	1	1	yes	characteristic
537	C₂×C₈×C₄₃	—	2	1	no	—
538	C₂×C₈×C₄₃	—	2	2	no	—
539	C₂×C₈×C₄₃	—	2	1	no	—
540	C₂×C₈×C₄₃	C₂⁴	1	1	yes	characteristic
541	C₂×C₈×C₄₃	C₂⁴	1	1	yes	characteristic
542	C₂²⋊C₄×C₄₃	—	4	2	no	—
543	C₄²×C₄₃	C₂⁴	1	1	yes	characteristic
544	C₂²⋊Dic₄₃	—	4	2	no	—
545	#10621885	—	2	2	no	—
546	#10621885	—	2	2	no	—
547	#10621885	—	2	2	no	—
548	#10621885	—	2	2	no	—
549	#10621885	—	2	2	no	—
550	#10621885	—	2	2	no	—
551	#10621885	C₂×D₄	1	2	yes	—
552	#10621885	C₂×D₄	1	1	yes	characteristic
553	#10621885	C₂×D₄	1	1	yes	characteristic
554	#10621884	—	2	2	no	—
555	#10621884	—	2	2	no	—
556	#10621884	—	2	2	no	—
557	#10621884	—	2	2	no	—
558	#10621884	—	2	2	no	—
559	#10621884	—	2	2	no	—
560	#10621884	C₂×D₄	1	1	yes	characteristic
561	#10621884	C₂×D₄	1	1	yes	characteristic
562	#10621884	C₂×D₄	1	2	yes	—
563	#10621883	—	2	2	no	—
564	#10621883	—	2	2	no	—
565	#10621883	—	2	2	no	—
566	#10621883	—	2	2	no	—
567	#10621883	—	2	2	no	—
568	#10621883	—	2	2	no	—
569	#10621883	C₂×D₄	1	1	yes	characteristic
570	#10621883	C₂×D₄	1	1	yes	characteristic
571	#10621883	C₂×D₄	1	2	yes	—
572	#10621882	—	2	2	no	—
573	#10621882	—	2	2	no	—
574	#10621882	—	2	2	no	—
575	#10621882	—	2	2	no	—
576	#10621882	—	2	2	no	—
577	#10621882	—	2	2	no	—
578	#10621882	C₂×D₄	1	2	yes	—
579	#10621882	C₂×D₄	1	1	yes	characteristic
580	#10621882	C₂×D₄	1	1	yes	characteristic
581	(C₂×D₄₃)⋊C₄	—	4	2	no	—
582	(C₂×D₄₃)⋊C₄	—	4	2	no	—
583	C₄×Dic₄₃	—	2	1	no	—
584	C₄×Dic₄₃	C₂⁴	1	1	yes	characteristic
585	#10621877	—	2	1	no	—
586	#10621877	—	2	2	no	—
587	#10621877	—	2	1	no	—
588	#10621877	C₂⁴	1	1	yes	characteristic
589	#10621877	C₂⁴	1	2	yes	—
590	#10621877	C₂⁴	1	1	yes	characteristic
591	C₂×C₄₃⋊C₈	—	2	1	no	—
592	C₂×C₄₃⋊C₈	—	2	2	no	—
593	C₂×C₄₃⋊C₈	—	2	1	no	—
594	C₂×C₄₃⋊C₈	C₂⁴	1	1	yes	characteristic
595	C₂×C₄₃⋊C₈	C₂⁴	1	1	yes	characteristic
596	Dic₁₇₂	—	2	2	no	—
597	Dic₁₇₂	—	2	2	no	—
598	Dic₁₇₂	—	2	1	no	—
599	Dic₁₇₂	—	2	1	no	—
600	Dic₁₇₂	C₂×D₄	1	1	yes	characteristic
601	Dic₁₇₂	C₂×D₄	1	1	yes	characteristic
602	D₃₄₄	—	2	2	no	—
603	D₃₄₄	—	2	2	no	—
604	D₃₄₄	—	2	1	no	—
605	D₃₄₄	—	2	1	no	—
606	D₃₄₄	C₂×D₄	1	1	yes	characteristic
607	D₃₄₄	C₂×D₄	1	1	yes	characteristic
608	#10621873	—	2	2	no	—
609	#10621873	—	2	2	no	—
610	#10621873	—	2	2	no	—
611	#10621873	—	2	2	no	—
612	#10621873	—	2	2	no	—
613	#10621873	—	2	2	no	—
614	#10621873	C₂×D₄	1	1	yes	characteristic
615	#10621873	C₂×D₄	1	1	yes	characteristic
616	#10621873	C₂×D₄	1	2	yes	—
617	#10621872	—	2	1	no	—
618	#10621872	—	2	2	no	—
619	#10621872	—	2	1	no	—
620	#10621872	—	2	1	no	—
621	#10621872	—	2	2	no	—
622	#10621872	—	2	1	no	—
623	#10621872	—	2	1	no	—
624	#10621872	—	2	2	no	—
625	#10621872	—	2	1	no	—
626	C₈×D₄₃	—	2	1	no	—
627	C₈×D₄₃	—	2	2	no	—
628	C₈×D₄₃	—	2	1	no	—
629	C₈×D₄₃	—	2	1	no	—
630	C₈×D₄₃	—	2	2	no	—
631	C₈×D₄₃	—	2	1	no	—
632	C₈×D₄₃	—	2	1	no	—
633	C₈×D₄₃	—	2	2	no	—
634	C₈×D₄₃	—	2	1	no	—
635	C₈×D₄₃	C₂×D₄	1	1	yes	characteristic
636	C₈×D₄₃	C₂×D₄	1	1	yes	characteristic
637	C₈×D₄₃	C₂×D₄	1	1	yes	characteristic
638	C₈×D₄₃	C₂×D₄	1	1	yes	characteristic
639	C₈×D₄₃	C₂×D₄	1	1	yes	characteristic
640	C₈×D₄₃	C₂×D₄	1	1	yes	characteristic
641	C₈×D₄₃	C₂×D₄	1	1	yes	characteristic
642	C₈×D₄₃	C₂×D₄	1	1	yes	characteristic
643	C₂³×C₄₃	—	2	2	no	—
644	C₂³×C₄₃	—	4	2	no	—
645	C₂²×D₄₃	—	2	1	no	—
646	C₂²×D₄₃	—	2	2	no	—
647	C₂²×D₄₃	—	2	1	no	—
648	C₂²×D₄₃	—	2	2	no	—
649	C₂²×D₄₃	—	4	2	no	—
650	C₂²×D₄₃	—	4	2	no	—
651	C₂²×D₄₃	—	4	2	no	—
652	C₂²×D₄₃	—	4	2	no	—
653	C₂²×D₄₃	—	4	2	no	—
654	C₂²×D₄₃	—	8	4	no	—
655	C₂²×D₄₃	—	16	4	no	—
656	C₂²×D₄₃	H(5,𝔽₂)	1	1	yes	characteristic
657	Q₈×C₄₃	—	2	2	no	—
658	Q₈×C₄₃	—	2	2	no	—
659	Q₈×C₄₃	—	4	2	no	—
660	Q₈×C₄₃	C₂²×D₄	1	1	yes	characteristic
661	Q₈×C₄₃	C₂²×D₄	1	2	yes	—
662	Q₈×C₄₃	C₂²×D₄	1	1	yes	characteristic
663	D₄×C₄₃	—	2	1	no	—
664	D₄×C₄₃	—	2	2	no	—
665	D₄×C₄₃	—	2	1	no	—
666	D₄×C₄₃	—	2	2	no	—
667	D₄×C₄₃	—	2	2	no	—
668	D₄×C₄₃	—	4	2	no	—
669	D₄×C₄₃	—	4	2	no	—
670	D₄×C₄₃	—	4	2	no	—
671	D₄×C₄₃	C₂²×D₄	1	1	yes	characteristic
672	D₄×C₄₃	C₂²×D₄	1	2	yes	—
673	D₄×C₄₃	C₂²×D₄	1	1	yes	characteristic
674	C₂×C₄×C₄₃	—	2	1	no	—
675	C₂×C₄×C₄₃	—	2	2	no	—
676	C₂×C₄×C₄₃	—	2	1	no	—
677	C₂×C₄×C₄₃	—	2	1	no	—
678	C₂×C₄×C₄₃	—	2	2	no	—
679	C₂×C₄×C₄₃	—	4	2	no	—
680	C₂×C₄×C₄₃	—	4	2	no	—
681	C₂×C₄×C₄₃	—	4	2	no	—
682	C₂×C₄×C₄₃	C₂⁵	1	1	yes	characteristic
683	C₂²⋊D₄₃	—	2	1	no	—
684	C₂²⋊D₄₃	—	2	2	no	—
685	C₂²⋊D₄₃	—	2	1	no	—
686	C₂²⋊D₄₃	—	2	1	no	—
687	C₂²⋊D₄₃	—	2	2	no	—
688	C₂²⋊D₄₃	—	2	1	no	—
689	C₂²⋊D₄₃	—	2	1	no	—
690	C₂²⋊D₄₃	—	2	2	no	—
691	C₂²⋊D₄₃	—	2	1	no	—
692	C₂²⋊D₄₃	—	4	2	no	—
693	C₂²⋊D₄₃	—	4	2	no	—
694	C₂²⋊D₄₃	—	4	2	no	—
695	C₂²⋊D₄₃	—	4	2	no	—
696	C₂²⋊D₄₃	—	4	2	no	—
697	C₂²⋊D₄₃	—	4	2	no	—
698	C₂²⋊D₄₃	—	4	2	no	—
699	C₂²⋊D₄₃	—	4	2	no	—
700	C₂×Dic₄₃	—	2	1	no	—
701	C₂×Dic₄₃	—	2	2	no	—
702	C₂×Dic₄₃	—	2	1	no	—
703	C₂×Dic₄₃	—	2	1	no	—
704	C₂×Dic₄₃	—	2	2	no	—
705	C₂×Dic₄₃	—	4	2	no	—
706	C₂×Dic₄₃	—	4	2	no	—
707	C₂×Dic₄₃	—	4	2	no	—
708	C₂×Dic₄₃	H(5,𝔽₂)	1	1	yes	characteristic
709	D₁₇₂	—	2	1	no	—
710	D₁₇₂	—	2	2	no	—
711	D₁₇₂	—	2	1	no	—
712	D₁₇₂	—	2	2	no	—
713	D₁₇₂	—	2	2	no	—
714	D₁₇₂	—	4	2	no	—
715	D₁₇₂	—	4	2	no	—
716	D₁₇₂	—	4	2	no	—
717	D₁₇₂	C₂²×D₄	1	1	yes	characteristic
718	D₁₇₂	C₂²×D₄	1	2	yes	—
719	D₁₇₂	C₂²×D₄	1	1	yes	characteristic
720	C₄×D₄₃	—	2	1	no	—
721	C₄×D₄₃	—	2	2	no	—
722	C₄×D₄₃	—	2	1	no	—
723	C₄×D₄₃	—	2	1	no	—
724	C₄×D₄₃	—	2	2	no	—
725	C₄×D₄₃	—	2	1	no	—
726	C₄×D₄₃	—	2	1	no	—
727	C₄×D₄₃	—	2	2	no	—
728	C₄×D₄₃	—	2	1	no	—
729	C₄×D₄₃	—	4	2	no	—
730	C₄×D₄₃	—	4	2	no	—
731	C₄×D₄₃	—	4	2	no	—
732	C₄×D₄₃	—	4	2	no	—
733	C₄×D₄₃	—	4	2	no	—
734	C₄×D₄₃	—	4	2	no	—
735	C₄×D₄₃	—	4	2	no	—
736	C₄×D₄₃	—	4	2	no	—
737	C₄×D₄₃	—	4	2	no	—
738	C₄×D₄₃	C₂²×D₄	1	1	yes	characteristic
739	C₄×D₄₃	C₂²×D₄	1	1	yes	characteristic
740	C₄×D₄₃	C₂²×D₄	1	1	yes	characteristic
741	C₄×D₄₃	C₂²×D₄	1	1	yes	characteristic
742	Dic₈₆	—	2	1	no	—
743	Dic₈₆	—	2	2	no	—
744	Dic₈₆	—	2	1	no	—
745	Dic₈₆	—	2	2	no	—
746	Dic₈₆	—	2	2	no	—
747	Dic₈₆	—	4	2	no	—
748	Dic₈₆	—	4	2	no	—
749	Dic₈₆	—	4	2	no	—
750	Dic₈₆	—	4	2	no	—
751	Dic₈₆	—	4	2	no	—
752	Dic₈₆	C₂²×D₄	1	1	yes	characteristic
753	Dic₈₆	C₂²×D₄	1	2	yes	—
754	Dic₈₆	C₂²×D₄	1	1	yes	characteristic
755	C₈×C₄₃	—	2	1	no	—
756	C₈×C₄₃	—	2	2	no	—
757	C₈×C₄₃	—	2	1	no	—
758	C₈×C₄₃	C₂²×D₄	1	1	yes	characteristic
759	C₈×C₄₃	C₂²×D₄	1	1	yes	characteristic
760	C₈×C₄₃	C₂²×D₄	1	1	yes	characteristic
761	C₈×C₄₃	C₂²×D₄	1	1	yes	characteristic
762	C₄₃⋊C₈	—	2	1	no	—
763	C₄₃⋊C₈	—	2	2	no	—
764	C₄₃⋊C₈	—	2	1	no	—
765	C₄₃⋊C₈	C₂²×D₄	1	1	yes	characteristic
766	C₄₃⋊C₈	C₂²×D₄	1	1	yes	characteristic
767	C₄₃⋊C₈	C₂²×D₄	1	1	yes	characteristic
768	C₄₃⋊C₈	C₂²×D₄	1	1	yes	characteristic
769	C₂×#3290	—	43	1	no	maximal, Sylow
770	C₂²×C₄₃	—	2	1	no	—
771	C₂²×C₄₃	—	2	2	no	—
772	C₂²×C₄₃	—	2	1	no	—
773	C₂²×C₄₃	—	4	2	no	—
774	C₂²×C₄₃	—	8	2	no	—
775	C₂²×C₄₃	—	16	2	no	—
776	C₂²×C₄₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
777	C₂×D₄₃	—	2	2	no	—
778	C₂×D₄₃	—	2	1	no	—
779	C₂×D₄₃	—	2	2	no	—
780	C₂×D₄₃	—	2	1	no	—
781	C₂×D₄₃	—	4	2	no	—
782	C₂×D₄₃	—	4	4	no	—
783	C₂×D₄₃	—	4	2	no	—
784	C₂×D₄₃	—	4	2	no	—
785	C₂×D₄₃	—	8	4	no	—
786	C₂×D₄₃	—	8	2	no	—
787	C₂×D₄₃	—	16	2	no	—
788	C₂×D₄₃	—	16	2	no	—
789	C₂×D₄₃	—	16	2	no	—
790	C₂×D₄₃	—	16	2	no	—
791	C₂×D₄₃	D₄²	1	1	yes	characteristic
792	C₂×D₄₃	D₄²	1	1	yes	characteristic
793	C₄×C₄₃	—	2	1	no	—
794	C₄×C₄₃	—	2	2	no	—
795	C₄×C₄₃	—	2	1	no	—
796	C₄×C₄₃	—	4	1	no	—
797	C₄×C₄₃	—	4	2	no	—
798	C₄×C₄₃	C₂³×D₄	1	1	yes	characteristic
799	C₄×C₄₃	C₂³×D₄	1	1	yes	characteristic
800	Dic₄₃	—	2	1	no	—
801	Dic₄₃	—	2	2	no	—
802	Dic₄₃	—	2	1	no	—
803	Dic₄₃	—	4	1	no	—
804	Dic₄₃	—	4	2	no	—
805	Dic₄₃	D₄²	1	1	yes	characteristic
806	Dic₄₃	D₄²	1	1	yes	characteristic
807	C₂×#578	—	43	1	no	—
808	C₂×#577	—	43	2	no	—
809	C₂×#576	—	43	1	no	—
810	#3290	—	43	1	no	—
811	#3290	—	43	1	no	—
812	#3290	—	43	1	no	—
813	#3290	—	43	2	no	—
814	#3290	—	43	2	no	—
815	#3290	—	43	2	no	—
816	#3290	—	43	1	no	—
817	#3290	—	43	1	no	—
818	#3290	—	43	1	no	—
819	#3290	—	43	2	no	—
820	#3290	—	43	1	no	—
821	#3290	D₄₃	1	1	yes	characteristic, direct product factor
822	C₂×#495	—	43	1	no	—
823	C₂×#473	—	43	1	no	—
824	C₂×#472	—	43	1	no	—
825	C₂×#471	—	43	2	no	—
826	C₂×#454	—	43	2	no	—
827	C₂×#455	—	43	2	no	—
828	C₂×#443	—	43	1	no	—
829	C₂×#443	—	43	1	no	—
830	C₂×C₄₃	—	2	1	no	—
831	C₂×C₄₃	—	4	1	no	—
832	C₂×C₄₃	—	4	2	no	—
833	C₂×C₄₃	—	4	1	no	—
834	C₂×C₄₃	—	8	2	no	—
835	C₂×C₄₃	C₂×D₄²	1	1	yes	characteristic
836	D₄₃	—	2	1	no	—
837	D₄₃	—	4	1	no	—
838	D₄₃	—	4	2	no	—
839	D₄₃	—	4	1	no	—
840	D₄₃	—	8	2	no	—
841	D₄₃	#3290	1	2	yes	direct product factor
842	C₂×2₋¹⁺⁴	—	43	2	no	—
843	C₂×H(5,𝔽₂)	—	43	2	no	—
844	#578	—	43	2	no	—
845	#578	—	43	2	no	—
846	#578	—	43	1	no	—
847	#578	—	43	1	no	—
848	#578	—	43	1	no	—
849	#578	—	86	1	no	—
850	#578	—	86	1	no	—
851	#578	—	86	2	no	—
852	#578	C₂×D₄₃	1	1	yes	characteristic, complemented
853	#577	—	43	2	no	—
854	#577	—	43	2	no	—
855	#577	—	43	2	no	—
856	#577	—	43	2	no	—
857	#577	—	43	2	no	—
858	#577	—	43	2	no	—
859	#577	—	43	2	no	—
860	#577	—	86	2	no	—
861	#577	—	86	2	no	—
862	#577	—	86	2	no	—
863	#577	—	86	2	no	—
864	#577	C₂×D₄₃	1	2	yes	complemented
865	#576	—	43	2	no	—
866	#576	—	43	2	no	—
867	#576	—	43	1	no	—
868	#576	—	43	1	no	—
869	#576	—	43	1	no	—
870	#576	—	86	1	no	—
871	#576	—	86	1	no	—
872	#576	—	86	2	no	—
873	#576	C₂×D₄₃	1	1	yes	characteristic, complemented
874	C₂×#137	—	43	2	no	—
875	C₂×#137	—	43	2	no	—
876	C₂×#137	—	86	2	no	—
877	C₂×#137	—	86	2	no	—
878	C₂×AGL(1,ℤ/8)	—	43	2	no	—
879	C₂×AGL(1,ℤ/8)	—	43	2	no	—
880	C₂×AGL(1,ℤ/8)	—	86	2	no	—
881	C₂×AGL(1,ℤ/8)	—	86	2	no	—
882	C₂×#135	—	43	1	no	—
883	C₂×#135	—	43	1	no	—
884	C₂×#135	—	86	1	no	—
885	C₂×#135	—	86	2	no	—
886	C₂×#135	—	86	1	no	—
887	C₂²×Q₁₆	—	43	1	no	—
888	C₂²×Q₁₆	—	86	1	no	—
889	C₂²×SD₁₆	—	43	2	no	—
890	C₂²×SD₁₆	—	86	2	no	—
891	C₂²×D₈	—	43	1	no	—
892	C₂²×D₈	—	86	1	no	—
893	C₂×#131	—	43	1	no	—
894	C₂×#131	—	43	2	no	—
895	C₂×#131	—	43	1	no	—
896	C₂×#124	—	43	2	no	—
897	#495	—	43	1	no	—
898	#495	—	43	2	no	—
899	#495	—	43	1	no	—
900	#495	—	43	2	no	—
901	#495	—	43	1	no	—
902	#495	C₂×D₄₃	1	1	yes	characteristic, complemented
903	#473	—	43	2	no	—
904	#473	—	43	1	no	—
905	#473	—	43	1	no	—
906	#473	—	43	1	no	—
907	#473	—	43	2	no	—
908	#473	C₂×D₄₃	1	1	yes	characteristic, complemented
909	#472	—	43	2	no	—
910	#472	—	43	1	no	—
911	#472	—	43	1	no	—
912	#472	—	43	1	no	—
913	#472	—	43	2	no	—
914	#472	C₂×D₄₃	1	1	yes	characteristic, complemented
915	#471	—	43	2	no	—
916	#471	—	43	2	no	—
917	#471	—	43	2	no	—
918	#471	—	43	2	no	—
919	#471	—	43	2	no	—
920	#471	—	43	2	no	—
921	#471	—	43	2	no	—
922	#471	C₂×D₄₃	1	2	yes	complemented
923	#455	—	43	2	no	—
924	#455	—	43	2	no	—
925	#455	—	43	2	no	—
926	#455	—	43	2	no	—
927	#455	—	43	2	no	—
928	#455	—	43	2	no	—
929	#455	—	43	2	no	—
930	#455	C₂×D₄₃	1	2	yes	complemented
931	#454	—	43	2	no	—
932	#454	—	43	2	no	—
933	#454	—	43	2	no	—
934	#454	—	43	2	no	—
935	#454	—	43	2	no	—
936	#454	—	43	2	no	—
937	#454	—	43	2	no	—
938	#454	C₂×D₄₃	1	2	yes	complemented
939	#443	—	43	1	no	—
940	#443	—	43	1	no	—
941	#443	—	43	1	no	—
942	#443	—	43	1	no	—
943	#443	—	43	2	no	—
944	#443	—	43	1	no	—
945	#443	—	43	1	no	—
946	#443	—	43	1	no	—
947	#443	—	43	1	no	—
948	#443	—	43	2	no	—
949	#443	—	43	1	no	—
950	#443	—	43	1	no	—
951	#443	C₂×D₄₃	1	1	yes	characteristic, complemented
952	#443	C₂×D₄₃	1	1	yes	characteristic, complemented
953	C₂×#108	—	43	1	no	—
954	C₂×#108	—	43	1	no	—
955	C₂×#104	—	43	1	no	—
956	C₂×#104	—	43	2	no	—
957	C₂×#104	—	43	1	no	—
958	C₂×#101	—	43	2	no	—
959	C₂×#100	—	43	2	no	—
960	C₂×C₄×C₈	—	43	1	no	—
961	C₄₃	C₂×#3290	1	1	yes	characteristic, complemented, Sylow
962	2₋¹⁺⁴	—	43	2	no	—
963	2₋¹⁺⁴	—	43	2	no	—
964	2₋¹⁺⁴	—	43	2	no	—
965	2₋¹⁺⁴	—	86	2	no	—
966	2₋¹⁺⁴	—	86	2	no	—
967	2₋¹⁺⁴	—	86	2	no	—
968	2₋¹⁺⁴	—	86	2	no	—
969	2₋¹⁺⁴	—	172	2	no	—
970	2₋¹⁺⁴	C₂²×D₄₃	1	2	yes	complemented
971	H(5,𝔽₂)	—	43	2	no	—
972	H(5,𝔽₂)	—	43	2	no	—
973	H(5,𝔽₂)	—	43	2	no	—
974	H(5,𝔽₂)	—	86	2	no	—
975	H(5,𝔽₂)	—	86	2	no	—
976	H(5,𝔽₂)	—	86	2	no	—
977	H(5,𝔽₂)	—	86	2	no	—
978	H(5,𝔽₂)	—	172	2	no	—
979	H(5,𝔽₂)	C₂²×D₄₃	1	2	yes	—
980	C₂×#41	—	43	1	no	—
981	C₂×#41	—	43	2	no	—
982	C₂×#41	—	43	1	no	—
983	C₂×#41	—	86	2	no	—
984	C₂×#41	—	86	2	no	—
985	C₂×#41	—	86	2	no	—
986	C₂×#41	—	86	2	no	—
987	C₂×#41	—	172	2	no	—
988	C₂²×Q₈	—	43	2	no	—
989	C₂²×Q₈	—	86	2	no	—
990	C₂²×Q₈	—	86	2	no	—
991	C₂²×D₄	—	43	2	no	—
992	C₂²×D₄	—	86	2	no	—
993	C₂²×D₄	—	86	2	no	—
994	C₂²×D₄	—	172	2	no	—
995	#137	—	2	2	no	—
996	#137	—	2	2	no	—
997	#137	—	43	2	no	—
998	#137	—	43	2	no	—
999	#137	—	43	2	no	—
1000	#137	—	43	2	no	—
1001	#137	—	43	2	no	—
1002	#137	—	43	2	no	—
1003	#137	—	86	2	no	—
1004	#137	—	86	2	no	—
1005	#137	—	86	2	no	—
1006	#137	—	86	2	no	—
1007	#137	—	86	2	no	—
1008	#137	—	86	2	no	—
1009	#137	—	86	2	no	—
1010	#137	—	86	2	no	—
1011	#137	—	86	2	no	—
1012	#137	—	86	2	no	—
1013	#137	—	86	2	no	—
1014	#137	—	86	2	no	—
1015	#137	—	86	2	no	—
1016	#137	—	86	2	no	—
1017	#137	—	86	2	no	—
1018	#137	—	86	2	no	—
1019	#137	—	86	2	no	—
1020	#137	—	86	2	no	—
1021	#137	C₂²×D₄₃	1	2	yes	—
1022	#137	C₂²×D₄₃	1	2	yes	complemented
1023	AGL(1,ℤ/8)	—	2	2	no	—
1024	AGL(1,ℤ/8)	—	2	2	no	—
1025	AGL(1,ℤ/8)	—	43	2	no	—
1026	AGL(1,ℤ/8)	—	43	2	no	—
1027	AGL(1,ℤ/8)	—	43	2	no	—
1028	AGL(1,ℤ/8)	—	43	2	no	—
1029	AGL(1,ℤ/8)	—	43	2	no	—
1030	AGL(1,ℤ/8)	—	43	2	no	—
1031	AGL(1,ℤ/8)	—	86	2	no	—
1032	AGL(1,ℤ/8)	—	86	2	no	—
1033	AGL(1,ℤ/8)	—	86	2	no	—
1034	AGL(1,ℤ/8)	—	86	2	no	—
1035	AGL(1,ℤ/8)	—	86	2	no	—
1036	AGL(1,ℤ/8)	—	86	2	no	—
1037	AGL(1,ℤ/8)	—	86	2	no	—
1038	AGL(1,ℤ/8)	—	86	2	no	—
1039	AGL(1,ℤ/8)	—	86	2	no	—
1040	AGL(1,ℤ/8)	—	86	2	no	—
1041	AGL(1,ℤ/8)	—	86	2	no	—
1042	AGL(1,ℤ/8)	—	86	2	no	—
1043	AGL(1,ℤ/8)	—	86	2	no	—
1044	AGL(1,ℤ/8)	—	86	2	no	—
1045	AGL(1,ℤ/8)	—	86	2	no	—
1046	AGL(1,ℤ/8)	—	86	2	no	—
1047	AGL(1,ℤ/8)	—	86	2	no	—
1048	AGL(1,ℤ/8)	—	86	2	no	—
1049	AGL(1,ℤ/8)	C₂²×D₄₃	1	2	yes	—
1050	AGL(1,ℤ/8)	C₂²×D₄₃	1	2	yes	complemented
1051	#135	—	2	1	no	—
1052	#135	—	2	2	no	—
1053	#135	—	2	1	no	—
1054	#135	—	43	2	no	—
1055	#135	—	43	1	no	—
1056	#135	—	43	1	no	—
1057	#135	—	43	1	no	—
1058	#135	—	43	1	no	—
1059	#135	—	43	2	no	—
1060	#135	—	43	1	no	—
1061	#135	—	43	1	no	—
1062	#135	—	43	1	no	—
1063	#135	—	43	1	no	—
1064	#135	—	43	1	no	—
1065	#135	—	43	1	no	—
1066	#135	—	86	1	no	—
1067	#135	—	86	2	no	—
1068	#135	—	86	1	no	—
1069	#135	—	86	2	no	—
1070	#135	—	86	1	no	—
1071	#135	—	86	2	no	—
1072	#135	—	86	1	no	—
1073	#135	—	86	2	no	—
1074	#135	—	86	2	no	—
1075	#135	—	86	2	no	—
1076	#135	—	86	2	no	—
1077	#135	—	86	2	no	—
1078	#135	—	86	2	no	—
1079	#135	—	86	2	no	—
1080	#135	—	86	1	no	—
1081	#135	—	86	2	no	—
1082	#135	—	86	1	no	—
1083	#135	C₂²×D₄₃	1	1	yes	characteristic
1084	#135	C₂²×D₄₃	1	1	yes	characteristic
1085	C₂×Q₁₆	—	2	1	no	—
1086	C₂×Q₁₆	—	43	1	no	—
1087	C₂×Q₁₆	—	43	1	no	—
1088	C₂×Q₁₆	—	43	2	no	—
1089	C₂×Q₁₆	—	43	1	no	—
1090	C₂×Q₁₆	—	86	1	no	—
1091	C₂×Q₁₆	—	86	1	no	—
1092	C₂×Q₁₆	—	86	1	no	—
1093	C₂×Q₁₆	—	86	1	no	—
1094	C₂×Q₁₆	—	86	1	no	—
1095	C₂×Q₁₆	—	86	2	no	—
1096	C₂×Q₁₆	—	86	1	no	—
1097	C₂×Q₁₆	—	86	2	no	—
1098	C₂×Q₁₆	—	86	2	no	—
1099	C₂×Q₁₆	—	86	2	no	—
1100	C₂×Q₁₆	—	86	1	no	—
1101	C₂×Q₁₆	C₂²×D₄₃	1	1	yes	characteristic, complemented
1102	C₂×SD₁₆	—	2	2	no	—
1103	C₂×SD₁₆	—	43	1	no	—
1104	C₂×SD₁₆	—	43	1	no	—
1105	C₂×SD₁₆	—	43	2	no	—
1106	C₂×SD₁₆	—	43	2	no	—
1107	C₂×SD₁₆	—	43	2	no	—
1108	C₂×SD₁₆	—	43	2	no	—
1109	C₂×SD₁₆	—	86	2	no	—
1110	C₂×SD₁₆	—	86	2	no	—
1111	C₂×SD₁₆	—	86	2	no	—
1112	C₂×SD₁₆	—	86	2	no	—
1113	C₂×SD₁₆	—	86	2	no	—
1114	C₂×SD₁₆	—	86	2	no	—
1115	C₂×SD₁₆	—	86	2	no	—
1116	C₂×SD₁₆	—	86	2	no	—
1117	C₂×SD₁₆	—	86	2	no	—
1118	C₂×SD₁₆	—	86	2	no	—
1119	C₂×SD₁₆	—	86	2	no	—
1120	C₂×SD₁₆	—	86	2	no	—
1121	C₂×SD₁₆	—	86	2	no	—
1122	C₂×SD₁₆	—	86	2	no	—
1123	C₂×SD₁₆	—	86	2	no	—
1124	C₂×SD₁₆	C₂²×D₄₃	1	2	yes	complemented
1125	C₂×D₈	—	2	1	no	—
1126	C₂×D₈	—	43	1	no	—
1127	C₂×D₈	—	43	1	no	—
1128	C₂×D₈	—	43	2	no	—
1129	C₂×D₈	—	43	1	no	—
1130	C₂×D₈	—	86	1	no	—
1131	C₂×D₈	—	86	1	no	—
1132	C₂×D₈	—	86	1	no	—
1133	C₂×D₈	—	86	1	no	—
1134	C₂×D₈	—	86	1	no	—
1135	C₂×D₈	—	86	2	no	—
1136	C₂×D₈	—	86	1	no	—
1137	C₂×D₈	—	86	2	no	—
1138	C₂×D₈	—	86	2	no	—
1139	C₂×D₈	—	86	2	no	—
1140	C₂×D₈	—	86	1	no	—
1141	C₂×D₈	C₂²×D₄₃	1	1	yes	characteristic
1142	#131	—	43	1	no	—
1143	#131	—	43	2	no	—
1144	#131	—	43	1	no	—
1145	#131	—	43	1	no	—
1146	#131	—	43	2	no	—
1147	#131	—	43	1	no	—
1148	#131	—	43	1	no	—
1149	#131	—	43	2	no	—
1150	#131	—	43	1	no	—
1151	#131	—	86	1	no	—
1152	#131	—	86	2	no	—
1153	#131	—	86	1	no	—
1154	#131	—	86	1	no	—
1155	#131	—	86	2	no	—
1156	#131	—	86	1	no	—
1157	#131	C₂²×D₄₃	1	1	yes	characteristic
1158	#131	C₂²×D₄₃	1	2	yes	complemented
1159	#131	C₂²×D₄₃	1	1	yes	characteristic, complemented
1160	C₂×M₁₆	—	43	1	no	—
1161	C₂×M₁₆	—	43	2	no	—
1162	C₂×M₁₆	—	43	1	no	—
1163	C₂×M₁₆	—	86	1	no	—
1164	C₂×M₁₆	—	86	2	no	—
1165	C₂×M₁₆	—	86	1	no	—
1166	C₂²×C₈	—	43	1	no	—
1167	C₂²×C₈	—	43	1	no	—
1168	C₂²×C₈	—	86	1	no	—
1169	C₂²×C₈	—	86	2	no	—
1170	C₂²×C₈	—	86	1	no	—
1171	#124	—	43	2	no	—
1172	#124	—	43	2	no	—
1173	#124	—	43	2	no	—
1174	#124	—	172	2	no	—
1175	#124	C₂²×D₄₃	1	2	yes	complemented
1176	C₂×C₂²⋊C₄	—	172	2	no	—
1177	C₂×C₄²	—	43	1	no	—
1178	#108	—	43	1	no	—
1179	#108	—	43	1	no	—
1180	#108	—	43	2	no	—
1181	#108	—	43	1	no	—
1182	#108	—	43	1	no	—
1183	#108	C₂²×D₄₃	1	1	yes	characteristic, complemented
1184	#108	C₂²×D₄₃	1	1	yes	characteristic, complemented
1185	#104	—	43	1	no	—
1186	#104	—	43	1	no	—
1187	#104	—	43	2	no	—
1188	#104	—	43	1	no	—
1189	#104	—	43	1	no	—
1190	#104	—	43	2	no	—
1191	#104	—	43	1	no	—
1192	#104	—	43	1	no	—
1193	#104	—	43	2	no	—
1194	#104	C₂²×D₄₃	1	1	yes	characteristic
1195	#104	C₂²×D₄₃	1	1	yes	characteristic, complemented
1196	#104	C₂²×D₄₃	1	2	yes	complemented
1197	#101	—	43	2	no	—
1198	#101	—	43	2	no	—
1199	#101	—	43	2	no	—
1200	#101	C₂²×D₄₃	1	2	yes	complemented
1201	#100	—	43	2	no	—
1202	#100	—	43	2	no	—
1203	#100	—	43	2	no	—
1204	#100	C₂²×D₄₃	1	2	yes	complemented
1205	C₄×C₈	—	43	1	no	—
1206	C₄×C₈	—	43	1	no	—
1207	C₄×C₈	—	43	1	no	—
1208	C₄×C₈	C₂²×D₄₃	1	1	yes	characteristic, complemented
1209	C₂⁴	—	86	2	no	—
1210	C₂⁴	—	172	2	no	—
1211	#41	—	2	2	no	—
1212	#41	—	2	2	no	—
1213	#41	—	2	2	no	—
1214	#41	—	2	2	no	—
1215	#41	—	4	2	no	—
1216	#41	—	43	1	no	—
1217	#41	—	43	2	no	—
1218	#41	—	43	1	no	—
1219	#41	—	43	1	no	—
1220	#41	—	43	2	no	—
1221	#41	—	43	1	no	—
1222	#41	—	43	1	no	—
1223	#41	—	43	2	no	—
1224	#41	—	43	1	no	—
1225	#41	—	86	1	no	—
1226	#41	—	86	2	no	—
1227	#41	—	86	1	no	—
1228	#41	—	86	2	no	—
1229	#41	—	86	2	no	—
1230	#41	—	86	2	no	—
1231	#41	—	86	2	no	—
1232	#41	—	86	1	no	—
1233	#41	—	86	2	no	—
1234	#41	—	86	1	no	—
1235	#41	—	86	2	no	—
1236	#41	—	86	2	no	—
1237	#41	—	86	2	no	—
1238	#41	—	86	2	no	—
1239	#41	—	86	2	no	—
1240	#41	—	86	2	no	—
1241	#41	—	86	2	no	—
1242	#41	—	86	2	no	—
1243	#41	—	172	2	no	—
1244	#41	—	172	2	no	—
1245	#41	—	172	2	no	—
1246	#41	—	172	2	no	—
1247	#41	—	172	2	no	—
1248	#41	—	172	2	no	—
1249	#41	—	172	2	no	—
1250	#41	—	172	2	no	—
1251	#41	—	172	2	no	—
1252	#41	—	172	2	no	—
1253	#41	—	172	2	no	—
1254	#41	—	172	2	no	—
1255	#41	—	172	2	no	—
1256	#41	—	172	2	no	—
1257	#41	—	172	2	no	—
1258	#41	C₂³×D₄₃	1	1	yes	characteristic
1259	#41	C₂³×D₄₃	1	1	yes	characteristic
1260	#41	C₂³×D₄₃	1	2	yes	—
1261	C₂×Q₈	—	2	2	no	—
1262	C₂×Q₈	—	2	2	no	—
1263	C₂×Q₈	—	43	1	no	—
1264	C₂×Q₈	—	43	2	no	—
1265	C₂×Q₈	—	43	1	no	—
1266	C₂×Q₈	—	43	2	no	—
1267	C₂×Q₈	—	86	2	no	—
1268	C₂×Q₈	—	86	2	no	—
1269	C₂×Q₈	—	86	2	no	—
1270	C₂×Q₈	—	86	2	no	—
1271	C₂×Q₈	—	86	2	no	—
1272	C₂×Q₈	—	86	2	no	—
1273	C₂×Q₈	—	86	2	no	—
1274	C₂×Q₈	—	86	2	no	—
1275	C₂×Q₈	—	86	2	no	—
1276	C₂×Q₈	—	86	2	no	—
1277	C₂×Q₈	—	86	2	no	—
1278	C₂×Q₈	—	172	2	no	—
1279	C₂×Q₈	—	172	2	no	—
1280	C₂×Q₈	—	172	2	no	—
1281	C₂×Q₈	—	172	2	no	—
1282	C₂×Q₈	—	172	2	no	—
1283	C₂×Q₈	C₂³×D₄₃	1	2	yes	—
1284	C₂×D₄	—	2	2	no	—
1285	C₂×D₄	—	2	2	no	—
1286	C₂×D₄	—	4	2	no	—
1287	C₂×D₄	—	43	1	no	—
1288	C₂×D₄	—	43	2	no	—
1289	C₂×D₄	—	43	1	no	—
1290	C₂×D₄	—	43	2	no	—
1291	C₂×D₄	—	86	2	no	—
1292	C₂×D₄	—	86	2	no	—
1293	C₂×D₄	—	86	2	no	—
1294	C₂×D₄	—	86	2	no	—
1295	C₂×D₄	—	86	2	no	—
1296	C₂×D₄	—	86	2	no	—
1297	C₂×D₄	—	86	2	no	—
1298	C₂×D₄	—	86	2	no	—
1299	C₂×D₄	—	86	2	no	—
1300	C₂×D₄	—	86	1	no	—
1301	C₂×D₄	—	86	2	no	—
1302	C₂×D₄	—	86	1	no	—
1303	C₂×D₄	—	86	2	no	—
1304	C₂×D₄	—	86	2	no	—
1305	C₂×D₄	—	172	2	no	—
1306	C₂×D₄	—	172	2	no	—
1307	C₂×D₄	—	172	2	no	—
1308	C₂×D₄	—	172	2	no	—
1309	C₂×D₄	—	172	2	no	—
1310	C₂×D₄	—	172	2	no	—
1311	C₂×D₄	—	172	2	no	—
1312	C₂×D₄	—	172	2	no	—
1313	C₂×D₄	—	172	2	no	—
1314	C₂×D₄	—	172	2	no	—
1315	C₂×D₄	—	172	2	no	—
1316	C₂×D₄	—	172	2	no	—
1317	C₂×D₄	—	172	2	no	—
1318	C₂×D₄	—	172	2	no	—
1319	C₂×D₄	C₂³×D₄₃	1	2	yes	—
1320	C₂²×C₄	—	43	1	no	—
1321	C₂²×C₄	—	86	1	no	—
1322	C₂²×C₄	—	86	2	no	—
1323	C₂²×C₄	—	86	1	no	—
1324	C₂²×C₄	—	86	1	no	—
1325	C₂²×C₄	—	86	2	no	—
1326	C₂²×C₄	—	172	2	no	—
1327	C₂²×C₄	—	172	2	no	—
1328	C₂²×C₄	—	172	2	no	—
1329	Q₁₆	—	2	2	no	—
1330	Q₁₆	—	2	2	no	—
1331	Q₁₆	—	2	1	no	—
1332	Q₁₆	—	2	1	no	—
1333	Q₁₆	—	43	2	no	—
1334	Q₁₆	—	43	1	no	—
1335	Q₁₆	—	43	1	no	—
1336	Q₁₆	—	43	1	no	—
1337	Q₁₆	—	43	1	no	—
1338	Q₁₆	—	86	2	no	—
1339	Q₁₆	—	86	2	no	—
1340	Q₁₆	—	86	2	no	—
1341	Q₁₆	—	86	2	no	—
1342	Q₁₆	—	86	2	no	—
1343	Q₁₆	—	86	2	no	—
1344	Q₁₆	—	86	2	no	—
1345	Q₁₆	—	86	2	no	—
1346	Q₁₆	—	86	1	no	—
1347	Q₁₆	—	86	1	no	—
1348	Q₁₆	D₄×D₄₃	1	1	yes	characteristic
1349	Q₁₆	D₄×D₄₃	1	1	yes	characteristic
1350	SD₁₆	—	2	2	no	—
1351	SD₁₆	—	2	2	no	—
1352	SD₁₆	—	2	2	no	—
1353	SD₁₆	—	2	2	no	—
1354	SD₁₆	—	2	2	no	—
1355	SD₁₆	—	2	2	no	—
1356	SD₁₆	—	43	1	no	—
1357	SD₁₆	—	43	1	no	—
1358	SD₁₆	—	43	2	no	—
1359	SD₁₆	—	43	1	no	—
1360	SD₁₆	—	43	1	no	—
1361	SD₁₆	—	43	2	no	—
1362	SD₁₆	—	43	1	no	—
1363	SD₁₆	—	43	1	no	—
1364	SD₁₆	—	43	2	no	—
1365	SD₁₆	—	86	2	no	—
1366	SD₁₆	—	86	2	no	—
1367	SD₁₆	—	86	2	no	—
1368	SD₁₆	—	86	2	no	—
1369	SD₁₆	—	86	2	no	—
1370	SD₁₆	—	86	2	no	—
1371	SD₁₆	—	86	2	no	—
1372	SD₁₆	—	86	2	no	—
1373	SD₁₆	—	86	2	no	—
1374	SD₁₆	—	86	2	no	—
1375	SD₁₆	—	86	2	no	—
1376	SD₁₆	—	86	2	no	—
1377	SD₁₆	—	86	2	no	—
1378	SD₁₆	—	86	2	no	—
1379	SD₁₆	—	86	2	no	—
1380	SD₁₆	—	86	2	no	—
1381	SD₁₆	—	86	2	no	—
1382	SD₁₆	—	86	2	no	—
1383	SD₁₆	D₄×D₄₃	1	1	yes	characteristic
1384	SD₁₆	D₄×D₄₃	1	1	yes	characteristic
1385	SD₁₆	D₄×D₄₃	1	2	yes	—
1386	D₈	—	2	2	no	—
1387	D₈	—	2	2	no	—
1388	D₈	—	2	1	no	—
1389	D₈	—	2	1	no	—
1390	D₈	—	43	2	no	—
1391	D₈	—	43	1	no	—
1392	D₈	—	43	1	no	—
1393	D₈	—	43	1	no	—
1394	D₈	—	43	1	no	—
1395	D₈	—	86	2	no	—
1396	D₈	—	86	2	no	—
1397	D₈	—	86	2	no	—
1398	D₈	—	86	2	no	—
1399	D₈	—	86	2	no	—
1400	D₈	—	86	2	no	—
1401	D₈	—	86	2	no	—
1402	D₈	—	86	2	no	—
1403	D₈	—	86	1	no	—
1404	D₈	—	86	1	no	—
1405	D₈	D₄×D₄₃	1	1	yes	characteristic
1406	D₈	D₄×D₄₃	1	1	yes	characteristic
1407	M₁₆	—	2	1	no	—
1408	M₁₆	—	2	2	no	—
1409	M₁₆	—	2	1	no	—
1410	M₁₆	—	43	1	no	—
1411	M₁₆	—	43	2	no	—
1412	M₁₆	—	43	1	no	—
1413	M₁₆	—	86	1	no	—
1414	M₁₆	—	86	2	no	—
1415	M₁₆	—	86	1	no	—
1416	M₁₆	—	86	1	no	—
1417	M₁₆	—	86	2	no	—
1418	M₁₆	—	86	1	no	—
1419	M₁₆	—	86	1	no	—
1420	M₁₆	—	86	2	no	—
1421	M₁₆	—	86	1	no	—
1422	M₁₆	—	86	1	no	—
1423	M₁₆	—	86	2	no	—
1424	M₁₆	—	86	1	no	—
1425	M₁₆	C₂³×D₄₃	1	1	yes	characteristic
1426	M₁₆	C₂³×D₄₃	1	2	yes	—
1427	M₁₆	C₂³×D₄₃	1	1	yes	characteristic
1428	C₂×C₈	—	2	1	no	—
1429	C₂×C₈	—	2	2	no	—
1430	C₂×C₈	—	2	1	no	—
1431	C₂×C₈	—	43	1	no	—
1432	C₂×C₈	—	43	1	no	—
1433	C₂×C₈	—	43	1	no	—
1434	C₂×C₈	—	43	1	no	—
1435	C₂×C₈	—	43	1	no	—
1436	C₂×C₈	—	43	1	no	—
1437	C₂×C₈	—	43	1	no	—
1438	C₂×C₈	—	43	1	no	—
1439	C₂×C₈	—	43	1	no	—
1440	C₂×C₈	—	43	1	no	—
1441	C₂×C₈	—	86	1	no	—
1442	C₂×C₈	—	86	2	no	—
1443	C₂×C₈	—	86	1	no	—
1444	C₂×C₈	—	86	1	no	—
1445	C₂×C₈	—	86	2	no	—
1446	C₂×C₈	—	86	1	no	—
1447	C₂×C₈	—	86	1	no	—
1448	C₂×C₈	—	86	2	no	—
1449	C₂×C₈	—	86	1	no	—
1450	C₂×C₈	—	86	1	no	—
1451	C₂×C₈	—	86	2	no	—
1452	C₂×C₈	—	86	1	no	—
1453	C₂×C₈	C₂³×D₄₃	1	1	yes	characteristic
1454	C₂×C₈	C₂³×D₄₃	1	1	yes	characteristic
1455	C₂²⋊C₄	—	4	2	no	—
1456	C₂²⋊C₄	—	172	2	no	—
1457	C₂²⋊C₄	—	172	2	no	—
1458	C₂²⋊C₄	—	172	2	no	—
1459	C₄²	—	43	1	no	—
1460	C₄²	—	86	1	no	—
1461	C₄²	C₂³×D₄₃	1	1	yes	characteristic
1462	C₂³	—	2	2	no	—
1463	C₂³	—	4	2	no	—
1464	C₂³	—	43	1	no	—
1465	C₂³	—	86	1	no	—
1466	C₂³	—	86	2	no	—
1467	C₂³	—	86	1	no	—
1468	C₂³	—	86	2	no	—
1469	C₂³	—	344	4	no	—
1470	C₂³	—	172	2	no	—
1471	C₂³	—	172	2	no	—
1472	C₂³	—	172	2	no	—
1473	C₂³	—	172	2	no	—
1474	C₂³	—	172	2	no	—
1475	C₂³	—	688	4	no	—
1476	Q₈	—	2	2	no	—
1477	Q₈	—	2	2	no	—
1478	Q₈	—	4	2	no	—
1479	Q₈	—	43	1	no	—
1480	Q₈	—	43	2	no	—
1481	Q₈	—	43	1	no	—
1482	Q₈	—	86	1	no	—
1483	Q₈	—	86	2	no	—
1484	Q₈	—	86	1	no	—
1485	Q₈	—	86	2	no	—
1486	Q₈	—	86	2	no	—
1487	Q₈	—	172	2	no	—
1488	Q₈	—	172	2	no	—
1489	Q₈	—	172	2	no	—
1490	Q₈	—	172	2	no	—
1491	Q₈	—	172	2	no	—
1492	Q₈	C₂×D₄×D₄₃	1	1	yes	characteristic
1493	Q₈	C₂×D₄×D₄₃	1	2	yes	—
1494	Q₈	C₂×D₄×D₄₃	1	1	yes	characteristic
1495	D₄	—	2	1	no	—
1496	D₄	—	2	2	no	—
1497	D₄	—	2	1	no	—
1498	D₄	—	2	2	no	—
1499	D₄	—	2	2	no	—
1500	D₄	—	4	2	no	—
1501	D₄	—	4	2	no	—
1502	D₄	—	4	2	no	—
1503	D₄	—	43	1	no	—
1504	D₄	—	43	2	no	—
1505	D₄	—	43	1	no	—
1506	D₄	—	86	1	no	—
1507	D₄	—	86	2	no	—
1508	D₄	—	86	1	no	—
1509	D₄	—	86	1	no	—
1510	D₄	—	86	2	no	—
1511	D₄	—	86	1	no	—
1512	D₄	—	86	1	no	—
1513	D₄	—	86	2	no	—
1514	D₄	—	86	1	no	—
1515	D₄	—	86	1	no	—
1516	D₄	—	86	2	no	—
1517	D₄	—	86	1	no	—
1518	D₄	—	86	2	no	—
1519	D₄	—	86	2	no	—
1520	D₄	—	172	2	no	—
1521	D₄	—	172	2	no	—
1522	D₄	—	172	2	no	—
1523	D₄	—	172	2	no	—
1524	D₄	—	172	2	no	—
1525	D₄	—	172	2	no	—
1526	D₄	—	172	2	no	—
1527	D₄	—	172	2	no	—
1528	D₄	—	172	2	no	—
1529	D₄	—	172	2	no	—
1530	D₄	—	172	2	no	—
1531	D₄	C₂×D₄×D₄₃	1	1	yes	characteristic
1532	D₄	C₂×D₄×D₄₃	1	2	yes	—
1533	D₄	C₂×D₄×D₄₃	1	1	yes	characteristic
1534	C₂×C₄	—	2	1	no	—
1535	C₂×C₄	—	2	2	no	—
1536	C₂×C₄	—	2	1	no	—
1537	C₂×C₄	—	2	1	no	—
1538	C₂×C₄	—	2	2	no	—
1539	C₂×C₄	—	4	2	no	—
1540	C₂×C₄	—	4	2	no	—
1541	C₂×C₄	—	4	2	no	—
1542	C₂×C₄	—	43	1	no	—
1543	C₂×C₄	—	43	1	no	—
1544	C₂×C₄	—	43	1	no	—
1545	C₂×C₄	—	43	1	no	—
1546	C₂×C₄	—	43	1	no	—
1547	C₂×C₄	—	86	1	no	—
1548	C₂×C₄	—	86	2	no	—
1549	C₂×C₄	—	86	1	no	—
1550	C₂×C₄	—	86	1	no	—
1551	C₂×C₄	—	86	2	no	—
1552	C₂×C₄	—	86	1	no	—
1553	C₂×C₄	—	86	1	no	—
1554	C₂×C₄	—	86	2	no	—
1555	C₂×C₄	—	86	1	no	—
1556	C₂×C₄	—	86	1	no	—
1557	C₂×C₄	—	86	2	no	—
1558	C₂×C₄	—	86	1	no	—
1559	C₂×C₄	—	86	1	no	—
1560	C₂×C₄	—	86	2	no	—
1561	C₂×C₄	—	172	2	no	—
1562	C₂×C₄	—	172	2	no	—
1563	C₂×C₄	—	172	2	no	—
1564	C₂×C₄	—	172	2	no	—
1565	C₂×C₄	—	172	2	no	—
1566	C₂×C₄	—	172	2	no	—
1567	C₂×C₄	—	172	2	no	—
1568	C₂×C₄	—	172	2	no	—
1569	C₂×C₄	—	172	2	no	—
1570	C₂×C₄	—	172	2	no	—
1571	C₂×C₄	—	172	2	no	—
1572	C₂×C₄	—	172	2	no	—
1573	C₂×C₄	C₂⁴×D₄₃	1	1	yes	characteristic
1574	C₈	—	2	1	no	—
1575	C₈	—	2	2	no	—
1576	C₈	—	2	1	no	—
1577	C₈	—	43	1	no	—
1578	C₈	—	43	1	no	—
1579	C₈	—	43	1	no	—
1580	C₈	—	43	1	no	—
1581	C₈	—	86	1	no	—
1582	C₈	—	86	2	no	—
1583	C₈	—	86	1	no	—
1584	C₈	C₂×D₄×D₄₃	1	1	yes	characteristic
1585	C₈	C₂×D₄×D₄₃	1	1	yes	characteristic
1586	C₈	C₂×D₄×D₄₃	1	1	yes	characteristic
1587	C₈	C₂×D₄×D₄₃	1	1	yes	characteristic
1588	C₂²	—	2	1	no	—
1589	C₂²	—	2	2	no	—
1590	C₂²	—	2	1	no	—
1591	C₂²	—	4	2	no	—
1592	C₂²	—	8	2	no	—
1593	C₂²	—	16	2	no	—
1594	C₂²	—	43	1	no	—
1595	C₂²	—	43	1	no	—
1596	C₂²	—	86	2	no	—
1597	C₂²	—	86	1	no	—
1598	C₂²	—	86	2	no	—
1599	C₂²	—	86	1	no	—
1600	C₂²	—	344	2	no	—
1601	C₂²	—	344	4	no	—
1602	C₂²	—	172	2	no	—
1603	C₂²	—	172	4	no	—
1604	C₂²	—	172	2	no	—
1605	C₂²	—	172	2	no	—
1606	C₂²	—	688	2	no	—
1607	C₂²	—	688	2	no	—
1608	C₂²	—	688	2	no	—
1609	C₂²	—	688	2	no	—
1610	C₂²	H(5,𝔽₂)×D₄₃	1	1	yes	characteristic
1611	C₄	—	2	1	no	—
1612	C₄	—	2	2	no	—
1613	C₄	—	2	1	no	—
1614	C₄	—	4	1	no	—
1615	C₄	—	4	2	no	—
1616	C₄	—	43	1	no	—
1617	C₄	—	43	1	no	—
1618	C₄	—	86	1	no	—
1619	C₄	—	86	2	no	—
1620	C₄	—	86	1	no	—
1621	C₄	—	172	1	no	—
1622	C₄	—	172	2	no	—
1623	C₄	C₂²×D₄×D₄₃	1	1	yes	characteristic
1624	C₄	C₂²×D₄×D₄₃	1	1	yes	characteristic
1625	C₂	—	2	1	no	—
1626	C₂	—	4	1	no	—
1627	C₂	—	4	2	no	—
1628	C₂	—	4	1	no	—
1629	C₂	—	8	2	no	—
1630	C₂	—	43	2	no	—
1631	C₂	—	86	1	no	—
1632	C₂	—	344	2	no	—
1633	C₂	—	172	1	no	—
1634	C₂	—	172	2	no	—
1635	C₂	—	172	1	no	—
1636	C₂	D₄²×D₄₃	1	1	yes	characteristic

	subgroup	G/H
center	C₂	D₄²×D₄₃
commutator, cosocle	C₂×C₄×C₄₃	C₂⁵
Frattini	C₂×C₄	C₂⁴×D₄₃
Fitting	C₄₃×#3290	C₂
socle	C₂×C₄₃	C₂×D₄²
hypercenter	#3290	D₄₃
hypocenter	C₄₃	C₂×#3290
LCS	G ▷ C₂×C₄×C₄₃ ▷ C₂×C₄₃ ▷ C₄₃
UCS	C₁ ◁ C₂ ◁ C₂×C₄ ◁ #3290

Complements

Splittings G = N ⋊ H with N normal; H ≅ G/N.

N	H ≅ G/N	type
1. #578×D₄₃	C₂	semidirect
2. #577×D₄₃	C₂	semidirect
3. #576×D₄₃	C₂	semidirect
4. #19146384	C₂	semidirect
5. #19146383	C₂	semidirect
6. #19146382	C₂	semidirect
7. #19146381	C₂	semidirect
8. #19146380	C₂	semidirect
9. #19146379	C₂	semidirect
10. #19146378	C₂	semidirect
11. #19146377	C₂	semidirect
12. #19146376	C₂	semidirect
13. #19146375	C₂	semidirect
14. #19146374	C₂	semidirect
15. #495×D₄₃	C₂	semidirect
16. #473×D₄₃	C₂	semidirect
17. #472×D₄₃	C₂	semidirect
18. #471×D₄₃	C₂	semidirect
19. #454×D₄₃	C₂	semidirect
20. #455×D₄₃	C₂	semidirect
21. #443×D₄₃	C₂	semidirect
22. #443×D₄₃	C₂	semidirect
23. C₄₃×#3290	C₂	semidirect
24. 2₋¹⁺⁴×D₄₃	C₂²	semidirect
26. #14583716	C₂²	semidirect
28. #14583715	C₂²	semidirect
29. #14583714	C₂²	semidirect
31. #14583713	C₂²	semidirect
33. #14583712	C₂²	semidirect
34. #14583711	C₂²	semidirect
35. #14583710	C₂²	semidirect
37. #14583709	C₂²	semidirect
39. #14583708	C₂²	semidirect
40. #14583707	C₂²	semidirect
42. #14583706	C₂²	semidirect
44. #14583705	C₂²	semidirect
45. #14583704	C₂²	semidirect
47. #14583703	C₂²	semidirect
48. #14583702	C₂²	semidirect
50. #14583701	C₂²	semidirect
52. #14583700	C₂²	semidirect
56. #137×D₄₃	C₂²	semidirect
60. AGL(1,ℤ/8)×D₄₃	C₂²	semidirect
67. C₂×Q₁₆×D₄₃	C₂²	semidirect
69. C₂×SD₁₆×D₄₃	C₂²	semidirect
73. #131×D₄₃	C₂²	semidirect
74. #131×D₄₃	C₂²	semidirect
75. #124×D₄₃	C₂²	semidirect
76. #14583284	C₂²	semidirect
77. #14583283	C₂²	semidirect
78. #14583282	C₂²	semidirect
79. #14583281	C₂²	semidirect
80. #14583280	C₂²	semidirect
81. #14583175	C₂²	semidirect
82. #14583174	C₂²	semidirect
83. #14583173	C₂²	semidirect
84. #14583172	C₂²	semidirect
85. #14583171	C₂²	semidirect
86. #14583170	C₂²	semidirect
87. #14583169	C₂²	semidirect
88. #14583168	C₂²	semidirect
89. #14583167	C₂²	semidirect
90. #14583166	C₂²	semidirect
91. #14583165	C₂²	semidirect
92. #14583164	C₂²	semidirect
93. #14583163	C₂²	semidirect
94. #14583162	C₂²	semidirect
95. #14583161	C₂²	semidirect
96. #14583160	C₂²	semidirect
97. #14583159	C₂²	semidirect
98. #14583079	C₂²	semidirect
99. #14583078	C₂²	semidirect
100. #14583078	C₂²	semidirect
101. #14583077	C₂²	semidirect
102. #14583076	C₂²	semidirect
103. #14583075	C₂²	semidirect
104. #14583075	C₂²	semidirect
105. #14583074	C₂²	semidirect
106. #14583073	C₂²	semidirect
107. #14583073	C₂²	semidirect
108. #14583072	C₂²	semidirect
109. #14583071	C₂²	semidirect
110. #14583070	C₂²	semidirect
111. #14583070	C₂²	semidirect
112. #14583017	C₂²	semidirect
113. #14583017	C₂²	semidirect
114. #14583016	C₂²	semidirect
115. #14583016	C₂²	semidirect
116. #14583015	C₂²	semidirect
117. #14583015	C₂²	semidirect
118. #14583014	C₂²	semidirect
119. #14583014	C₂²	semidirect
120. #14583014	C₂²	semidirect
121. #14583013	C₂²	semidirect
122. #14583013	C₂²	semidirect
123. #14583013	C₂²	semidirect
124. #108×D₄₃	C₂²	semidirect
125. #108×D₄₃	C₂²	semidirect
127. #104×D₄₃	C₂²	semidirect
128. #104×D₄₃	C₂²	semidirect
129. #101×D₄₃	C₂²	semidirect
130. #100×D₄₃	C₂²	semidirect
131. C₄×C₈×D₄₃	C₂²	semidirect
132. C₄₃×#578	C₂²	semidirect
133. C₄₃×#577	C₂²	semidirect
134. C₄₃×#576	C₂²	semidirect
135. C₄₃×#495	C₂²	semidirect
136. C₄₃×#473	C₂²	semidirect
137. C₄₃×#472	C₂²	semidirect
138. C₄₃×#471	C₂²	semidirect
139. C₄₃×#455	C₂²	semidirect
140. C₄₃×#454	C₂²	semidirect
141. C₄₃×#443	C₂²	semidirect
142. C₄₃×#443	C₂²	semidirect
145. #13063373	C₂³	semidirect
149. #13063372	C₂³	semidirect
150. #13063372	C₂³	semidirect
177. #13063358	C₂³	semidirect
187. #13063356	C₂³	semidirect
191. #13063355	C₂³	semidirect
201. #13063353	C₂³	semidirect
211. #13063351	C₂³	semidirect
215. #13063350	C₂³	semidirect
252. C₂×Dic₁₇₂	C₂³	semidirect
254. C₂×#10621885	C₂³	semidirect
267. C₂×#10621873	C₂³	semidirect
269. C₂×#10621883	C₂³	semidirect
271. C₂×#10621884	C₂³	semidirect
306. #13063333	C₂³	semidirect
307. #13063333	C₂³	semidirect
309. #13063332	C₂³	semidirect
310. #13063332	C₂³	semidirect
315. #13063331	C₂³	semidirect
316. #13063331	C₂³	semidirect
328. #13063314	C₂³	semidirect
329. #13063313	C₂³	semidirect
330. #13063312	C₂³	semidirect
334. #13063261	C₂³	semidirect
335. #13063261	C₂³	semidirect
336. #13063260	C₂³	semidirect
337. #13063260	C₂³	semidirect
338. #13063260	C₂³	semidirect
340. #13063253	C₂³	semidirect
341. #13063253	C₂³	semidirect
343. #13063252	C₂³	semidirect
344. #13063252	C₂³	semidirect
346. #13063251	C₂³	semidirect
347. #13063251	C₂³	semidirect
348. #13063244	C₂³	semidirect
349. #13063243	C₂³	semidirect
350. #13063243	C₂³	semidirect
351. #13063242	C₂³	semidirect
352. #13063241	C₂³	semidirect
353. #13063241	C₂³	semidirect
354. C₄×C₄₃⋊C₈	C₂³	semidirect
355. C₈×Dic₄₃	C₂³	semidirect
356. C₈×Dic₄₃	C₂³	semidirect
357. 2₋¹⁺⁴×C₄₃	C₂³	semidirect
362. #137×C₄₃	C₂³	semidirect
366. AGL(1,ℤ/8)×C₄₃	C₂³	semidirect
373. C₂×Q₁₆×C₄₃	C₂³	semidirect
375. C₂×SD₁₆×C₄₃	C₂³	semidirect
379. #131×C₄₃	C₂³	semidirect
380. #131×C₄₃	C₂³	semidirect
381. #124×C₄₃	C₂³	semidirect
382. #108×C₄₃	C₂³	semidirect
383. #108×C₄₃	C₂³	semidirect
385. #104×C₄₃	C₂³	semidirect
386. #104×C₄₃	C₂³	semidirect
387. #101×C₄₃	C₂³	semidirect
388. #100×C₄₃	C₂³	semidirect
389. C₄×C₈×C₄₃	C₂³	semidirect
821. #3290	D₄₃	direct (N × H)
841. D₄₃	#3290	direct (N × H)
852. #578	C₂×D₄₃	semidirect
864. #577	C₂×D₄₃	semidirect
873. #576	C₂×D₄₃	semidirect
902. #495	C₂×D₄₃	semidirect
908. #473	C₂×D₄₃	semidirect
914. #472	C₂×D₄₃	semidirect
922. #471	C₂×D₄₃	semidirect
930. #455	C₂×D₄₃	semidirect
938. #454	C₂×D₄₃	semidirect
951. #443	C₂×D₄₃	semidirect
952. #443	C₂×D₄₃	semidirect
961. C₄₃	C₂×#3290	semidirect
970. 2₋¹⁺⁴	C₂²×D₄₃	semidirect
1022. #137	C₂²×D₄₃	semidirect
1050. AGL(1,ℤ/8)	C₂²×D₄₃	semidirect
1101. C₂×Q₁₆	C₂²×D₄₃	semidirect
1124. C₂×SD₁₆	C₂²×D₄₃	semidirect
1158. #131	C₂²×D₄₃	semidirect
1159. #131	C₂²×D₄₃	semidirect
1175. #124	C₂²×D₄₃	semidirect
1183. #108	C₂²×D₄₃	semidirect
1184. #108	C₂²×D₄₃	semidirect
1195. #104	C₂²×D₄₃	semidirect
1196. #104	C₂²×D₄₃	semidirect
1200. #101	C₂²×D₄₃	semidirect
1204. #100	C₂²×D₄₃	semidirect
1208. C₄×C₈	C₂²×D₄₃	semidirect

Maximal subgroups

By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.

subgroup	index
#578×D₄₃	2
#577×D₄₃	2
#576×D₄₃	2
#19146384	2
#19146383	2
#19146382	2
#19146381	2
#19146380	2
#19146379	2
#19146378	2
#19146377	2
#19146376	2
#19146375	2
#19146374	2
#495×D₄₃	2
#473×D₄₃	2
#472×D₄₃	2
#471×D₄₃	2
#454×D₄₃	2
#455×D₄₃	2
#443×D₄₃	2
C₄₃×#3290	2
C₂×#3290	43

Subgroups — D43×#3290 #25972799

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — D₄₃×#3290 #25972799