Subgroups — #25973755

Order 11008.

2188 conjugacy classes of subgroups.

The subgroup lattice has 1466 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×#14583595	C₂	1	1	yes	maximal, characteristic, complemented
2	#19146848	C₂	1	2	yes	maximal, complemented
3	#19146796	C₂	1	2	yes	maximal, complemented
4	#19146766	C₂	1	2	yes	maximal, complemented
5	#19146736	C₂	1	2	yes	maximal, complemented
6	#19146601	C₂	1	2	yes	maximal, complemented
7	#19146571	C₂	1	2	yes	maximal, complemented
8	#19146497	C₂	1	2	yes	maximal, complemented
9	#19146445	C₂	1	2	yes	maximal, complemented
10	#19144995	C₂	1	1	yes	maximal, characteristic, complemented
11	#19144524	C₂	1	1	yes	maximal, characteristic, complemented
12	#19144515	C₂	1	1	yes	maximal, characteristic, complemented
13	#19144417	C₂	1	1	yes	maximal, characteristic, complemented
14	#19144216	C₂	1	1	yes	maximal, characteristic, complemented
15	#19144216	C₂	1	1	yes	maximal, characteristic, complemented
16	#19144055	C₂	1	1	yes	maximal, characteristic, complemented
17	#19143847	C₂	1	1	yes	maximal, characteristic, complemented
18	#19143847	C₂	1	1	yes	maximal, characteristic, complemented
19	C₄×#13063350	C₂	1	1	yes	maximal, characteristic, complemented
20	D₄×#10621877	C₂	1	1	yes	maximal, characteristic, complemented
21	#19143114	C₂	1	1	yes	maximal, characteristic, complemented
22	C₂×#14582900	C₂	1	1	yes	maximal, characteristic, complemented
23	D₄×#41×C₄₃	C₂	1	1	yes	maximal, characteristic, complemented
24	C₂×#13063350	C₂²	1	1	yes	characteristic
25	C₂×#13063350	C₂²	1	1	yes	characteristic, complemented
26	C₂×#13063350	C₂²	1	1	yes	characteristic, complemented
27	C₂²×#10621877	C₂²	1	1	yes	characteristic, complemented
28	C₂²×#10621877	C₂²	1	1	yes	characteristic, complemented
29	#14583595	—	2	1	no	—
30	#14583595	—	2	1	no	—
31	#14583595	—	2	1	no	—
32	#14583595	—	2	1	no	—
33	#14583595	C₂²	1	2	yes	—
34	#14583595	C₂²	1	2	yes	complemented
35	#14583595	C₂²	1	2	yes	complemented
36	#14583595	C₂²	1	2	yes	complemented
37	C₂×#13063320	—	2	1	no	—
38	C₂×#13063317	C₂²	1	1	yes	characteristic, complemented
39	C₂×#13063307	—	2	1	no	—
40	C₂×#13063299	C₂²	1	1	yes	characteristic, complemented
41	C₂×#13063299	C₂²	1	1	yes	characteristic, complemented
42	C₂×#13063297	—	2	1	no	—
43	C₂×C₄×D₁₇₂	C₂²	1	1	yes	characteristic, complemented
44	C₂×(C₂²⋊D₄₃)⋊C₄	—	2	1	no	—
45	C₂×#13063284	C₂²	1	1	yes	characteristic, complemented
46	C₂²×C₄⋊Dic₄₃	C₂²	1	1	yes	characteristic, complemented
47	#14583267	C₂²	1	2	yes	complemented
48	#14583263	C₂²	1	2	yes	complemented
49	#14583253	C₂²	1	2	yes	complemented
50	#14583253	C₂²	1	2	yes	complemented
51	#14583237	C₂²	1	2	yes	complemented
52	#14583237	C₂²	1	2	yes	complemented
53	#14583232	C₂²	1	2	yes	complemented
54	#14583227	C₂²	1	2	yes	complemented
55	#14583220	C₂²	1	2	yes	complemented
56	#14583220	C₂²	1	2	yes	complemented
57	#14583215	C₂²	1	2	yes	complemented
58	#14583210	C₂²	1	2	yes	complemented
59	#14583206	C₂²	1	2	yes	complemented
60	#14583206	C₂²	1	2	yes	complemented
61	#14583199	C₂²	1	2	yes	complemented
62	#14583199	C₂²	1	2	yes	complemented
63	#14583150	C₂²	1	2	yes	complemented
64	#14583150	C₂²	1	2	yes	complemented
65	#14583147	C₂²	1	2	yes	complemented
66	#14583147	C₂²	1	2	yes	complemented
67	#14583133	C₂²	1	2	yes	complemented
68	#14583133	C₂²	1	2	yes	complemented
69	#14583130	C₂²	1	2	yes	complemented
70	#14583130	C₂²	1	2	yes	complemented
71	#14583111	C₂²	1	2	yes	complemented
72	#14583111	C₂²	1	2	yes	complemented
73	#14583101	C₂²	1	2	yes	complemented
74	#14583091	C₂²	1	2	yes	complemented
75	#14583044	C₂²	1	2	yes	complemented
76	#14583044	C₂²	1	2	yes	complemented
77	#14583044	C₂²	1	2	yes	complemented
78	#14583044	C₂²	1	2	yes	complemented
79	#14583038	C₂²	1	2	yes	complemented
80	#14583038	C₂²	1	2	yes	complemented
81	#14583033	C₂²	1	2	yes	complemented
82	#14583033	C₂²	1	2	yes	complemented
83	#14583009	C₂²	1	2	yes	complemented
84	#14582997	C₂²	1	2	yes	complemented
85	C₄×#10621884	C₂²	1	2	yes	complemented
86	C₄×#10621882	C₂²	1	2	yes	complemented
87	#14582977	C₂²	1	2	yes	complemented
88	#14582971	C₂²	1	2	yes	complemented
89	#14582971	C₂²	1	2	yes	complemented
90	D₄×C₄₃⋊C₈	C₂²	1	2	yes	complemented
91	#14582942	C₂²	1	1	yes	characteristic, complemented
92	#14582942	C₂²	1	1	yes	characteristic, complemented
93	#14582942	C₂²	1	1	yes	characteristic, complemented
94	#14582923	C₂²	1	1	yes	characteristic, complemented
95	#14582908	C₂²	1	2	yes	complemented
96	#14582904	C₂²	1	2	yes	complemented
97	#14582903	C₂²	1	1	yes	characteristic, complemented
98	#14582900	C₂²	1	1	yes	characteristic
99	#14582900	C₂²	1	1	yes	characteristic
100	#14582900	C₂²	1	1	yes	characteristic
101	#14582900	C₂²	1	1	yes	characteristic, complemented
102	#14582900	C₂²	1	1	yes	characteristic, complemented
103	#14582900	C₂²	1	1	yes	characteristic, complemented
104	#14582900	C₂²	1	1	yes	characteristic, complemented
105	#14582900	C₂²	1	2	yes	complemented
106	#14582900	C₂²	1	1	yes	characteristic, complemented
107	#14582900	C₂²	1	1	yes	characteristic, complemented
108	#14582900	C₂²	1	2	yes	complemented
109	#14582895	C₂²	1	2	yes	complemented
110	#14582895	C₂²	1	2	yes	complemented
111	C₂×#13063249	C₂²	1	2	yes	complemented
112	C₂×#13063246	C₂²	1	2	yes	complemented
113	#14582863	C₂²	1	1	yes	characteristic, complemented
114	#14582863	C₂²	1	1	yes	characteristic, complemented
115	C₄×#10621877	C₂²	1	1	yes	characteristic, complemented
116	C₂²×#41×C₄₃	C₂²	1	1	yes	characteristic
117	C₂²×#41×C₄₃	C₂²	1	1	yes	characteristic
118	C₄₃×#550	C₂²	1	1	yes	characteristic, complemented
119	D₄×Q₈×C₄₃	C₂²	1	1	yes	characteristic, complemented
120	C₄₃×#548	C₂²	1	1	yes	characteristic, complemented
121	C₄₃×#548	C₂²	1	1	yes	characteristic, complemented
122	C₄₃×#547	—	2	1	no	—
123	C₄₃×#547	C₂²	1	1	yes	characteristic, complemented
124	C₄₃×#546	—	2	1	no	—
125	C₄₃×#546	—	2	1	no	—
126	C₄₃×#546	C₂²	1	1	yes	characteristic, complemented
127	C₄₃×#546	C₂²	1	1	yes	characteristic, complemented
128	D₄²×C₄₃	—	2	1	no	—
129	D₄²×C₄₃	C₂²	1	1	yes	characteristic, complemented
130	C₄₃×#532	—	2	1	no	—
131	C₄₃×#532	C₂²	1	1	yes	characteristic
132	C₄₃×#525	—	2	1	no	—
133	C₄₃×#525	—	2	1	no	—
134	C₄₃×#525	C₂²	1	1	yes	characteristic
135	C₄₃×#525	C₂²	1	1	yes	characteristic
136	C₄×#41×C₄₃	C₂²	1	1	yes	characteristic
137	C₂×C₄×D₄×C₄₃	—	2	1	no	—
138	C₂×C₄×D₄×C₄₃	C₂²	1	1	yes	characteristic
139	C₂²×D₁₇₂	C₂³	1	1	yes	characteristic
140	C₂²×C₂²⋊D₄₃	—	2	1	no	—
141	C₂²×C₂²⋊D₄₃	—	2	1	no	—
142	C₂³×Dic₄₃	—	2	1	no	—
143	C₂²×C₄×D₄₃	—	2	1	no	—
144	#13063350	—	2	4	no	—
145	#13063350	—	4	2	no	—
146	#13063350	—	4	2	no	—
147	C₂×#10621884	C₂³	1	2	yes	—
148	C₂×#10621884	C₂³	1	2	yes	—
149	C₂×#10621884	C₂³	1	2	yes	—
150	C₂×#10621882	C₂³	1	2	yes	—
151	C₂×#10621882	C₂³	1	2	yes	—
152	C₂×#10621882	C₂³	1	2	yes	—
153	C₂×#10621877	—	4	2	no	—
154	C₂×#10621877	—	4	2	no	—
155	C₂×#10621877	C₂³	1	1	yes	characteristic
156	C₂×#10621877	C₂³	1	1	yes	characteristic
157	C₂×#10621877	C₂³	1	1	yes	characteristic
158	C₂×#10621877	C₂³	1	1	yes	characteristic
159	C₂×#10621877	C₂³	1	2	yes	—
160	C₂×#10621877	C₂³	1	2	yes	—
161	C₂²×C₄₃⋊C₈	C₂³	1	2	yes	—
162	C₂²×C₄₃⋊C₈	C₂³	1	2	yes	—
163	#13063320	—	2	2	no	—
164	#13063320	—	2	2	no	—
165	#13063320	—	2	2	no	—
166	#13063320	—	2	2	no	—
167	#13063317	—	2	1	no	—
168	#13063317	—	2	1	no	—
169	#13063317	C₂³	1	2	yes	—
170	#13063317	C₂³	1	2	yes	—
171	#13063307	—	2	2	no	—
172	#13063307	—	2	2	no	—
173	#13063307	—	2	2	no	—
174	#13063307	—	2	2	no	—
175	#13063299	—	2	1	no	—
176	#13063299	—	2	1	no	—
177	#13063299	—	2	1	no	—
178	#13063299	—	2	1	no	—
179	#13063299	C₂³	1	2	yes	—
180	#13063299	C₂³	1	2	yes	—
181	#13063299	C₂³	1	2	yes	—
182	#13063299	C₂³	1	2	yes	—
183	#13063297	—	2	2	no	—
184	#13063297	—	2	2	no	—
185	#13063297	—	2	2	no	—
186	#13063297	—	2	2	no	—
187	C₄×D₁₇₂	—	2	1	no	—
188	C₄×D₁₇₂	—	2	1	no	—
189	C₄×D₁₇₂	C₂³	1	2	yes	—
190	C₄×D₁₇₂	C₂³	1	2	yes	—
191	(C₂²⋊D₄₃)⋊C₄	—	2	2	no	—
192	(C₂²⋊D₄₃)⋊C₄	—	2	2	no	—
193	(C₂²⋊D₄₃)⋊C₄	—	2	2	no	—
194	(C₂²⋊D₄₃)⋊C₄	—	2	2	no	—
195	#13063284	—	2	1	no	—
196	#13063284	—	2	1	no	—
197	#13063284	C₂³	1	2	yes	—
198	#13063284	C₂³	1	2	yes	—
199	C₂×C₄⋊Dic₄₃	—	2	1	no	—
200	C₂×C₄⋊Dic₄₃	—	2	1	no	—
201	C₂×C₄⋊Dic₄₃	—	2	1	no	—
202	C₂×C₄⋊Dic₄₃	C₂³	1	2	yes	—
203	C₂×C₄⋊Dic₄₃	C₂³	1	2	yes	—
204	C₂×C₄⋊Dic₄₃	C₂³	1	1	yes	characteristic
205	C₂×C₄⋊Dic₄₃	C₂³	1	1	yes	characteristic
206	C₂×C₄⋊Dic₄₃	C₂³	1	1	yes	characteristic
207	C₂×Dic₄₃⋊C₄	—	2	1	no	—
208	C₂×Dic₄₃⋊C₄	—	2	1	no	—
209	C₂×C₂²⋊Dic₄₃	—	2	1	no	—
210	C₂×(C₂×D₄₃)⋊C₄	—	2	1	no	—
211	C₂×(C₂×D₄₃)⋊C₄	—	2	1	no	—
212	C₂×(C₂×D₄₃)⋊C₄	—	2	1	no	—
213	C₂×C₄×Dic₄₃	—	2	1	no	—
214	#13063258	C₂³	1	2	yes	—
215	#13063258	C₂³	1	2	yes	—
216	#13063258	C₂³	1	2	yes	—
217	#13063256	C₂³	1	2	yes	—
218	#13063256	C₂³	1	2	yes	—
219	#13063256	C₂³	1	2	yes	—
220	C₄⋊(C₄₃⋊C₈)	C₂³	1	2	yes	—
221	C₄⋊(C₄₃⋊C₈)	C₂³	1	2	yes	—
222	#13063249	C₂³	1	2	yes	—
223	#13063249	C₂³	1	2	yes	—
224	#13063249	C₂³	1	2	yes	—
225	#13063249	C₂³	1	2	yes	—
226	#13063249	C₂³	1	2	yes	—
227	#13063249	C₂³	1	2	yes	—
228	#13063249	C₂³	1	2	yes	—
229	#13063249	C₂³	1	2	yes	—
230	#13063249	C₂³	1	2	yes	—
231	#13063246	C₂³	1	2	yes	—
232	#13063246	C₂³	1	2	yes	—
233	#13063246	C₂³	1	2	yes	—
234	#13063246	C₂³	1	2	yes	—
235	#13063246	C₂³	1	2	yes	—
236	#13063246	C₂³	1	2	yes	—
237	#13063246	C₂³	1	2	yes	—
238	#13063246	C₂³	1	2	yes	—
239	#13063246	C₂³	1	2	yes	—
240	#13063245	C₂³	1	2	yes	—
241	#13063245	C₂³	1	2	yes	—
242	C₂²⋊(C₄₃⋊C₈)	C₂³	1	2	yes	—
243	C₂²⋊(C₄₃⋊C₈)	C₂³	1	2	yes	—
244	C₂²⋊(C₄₃⋊C₈)	C₂³	1	2	yes	—
245	C₂²⋊(C₄₃⋊C₈)	C₂³	1	2	yes	—
246	#13063236	C₂³	1	2	yes	—
247	C₄×C₄₃⋊C₈	C₂³	1	2	yes	—
248	C₂×#41×C₄₃	—	2	1	no	—
249	C₂×#41×C₄₃	—	2	1	no	—
250	C₂×#41×C₄₃	—	2	1	no	—
251	C₂×#41×C₄₃	—	2	1	no	—
252	C₂×#41×C₄₃	—	2	4	no	—
253	C₂×#41×C₄₃	—	2	4	no	—
254	C₂×#41×C₄₃	—	4	2	no	—
255	C₂×#41×C₄₃	—	4	2	no	—
256	C₂×#41×C₄₃	C₂³	1	1	yes	characteristic
257	C₂×#41×C₄₃	C₂³	1	1	yes	characteristic
258	C₂×#41×C₄₃	C₂³	1	1	yes	characteristic
259	C₂×#41×C₄₃	C₂³	1	1	yes	characteristic
260	C₂×#41×C₄₃	C₂³	1	1	yes	characteristic
261	C₂×#41×C₄₃	C₂³	1	1	yes	characteristic
262	C₂×#41×C₄₃	C₂³	1	1	yes	characteristic
263	C₂²×Q₈×C₄₃	C₂³	1	1	yes	characteristic
264	C₂²×Q₈×C₄₃	C₂³	1	1	yes	characteristic
265	C₂²×D₄×C₄₃	—	2	1	no	—
266	C₂²×D₄×C₄₃	—	2	1	no	—
267	C₂²×D₄×C₄₃	—	2	1	no	—
268	C₂²×D₄×C₄₃	D₄	1	1	yes	characteristic
269	C₂²×D₄×C₄₃	C₂³	1	1	yes	characteristic
270	C₂²×D₄×C₄₃	C₂³	1	1	yes	characteristic
271	C₂³×C₄×C₄₃	—	2	1	no	—
272	C₂³×C₄×C₄₃	—	2	1	no	—
273	C₂³×C₄×C₄₃	C₂³	1	1	yes	characteristic
274	C₂³×C₄×C₄₃	C₂³	1	1	yes	characteristic
275	C₄⋊Q₈×C₄₃	—	2	1	no	—
276	C₄⋊Q₈×C₄₃	C₂³	1	1	yes	characteristic
277	#127×C₄₃	—	2	1	no	—
278	#127×C₄₃	C₂³	1	1	yes	characteristic
279	#124×C₄₃	—	2	1	no	—
280	#124×C₄₃	—	2	1	no	—
281	#124×C₄₃	C₂³	1	1	yes	characteristic
282	#124×C₄₃	C₂³	1	1	yes	characteristic
283	#123×C₄₃	—	2	1	no	—
284	#123×C₄₃	—	2	1	no	—
285	#123×C₄₃	—	2	1	no	—
286	#123×C₄₃	—	2	1	no	—
287	#123×C₄₃	—	2	1	no	—
288	#123×C₄₃	—	2	1	no	—
289	C₂²⋊Q₈×C₄₃	—	2	1	no	—
290	C₂²⋊Q₈×C₄₃	—	2	1	no	—
291	C₂²⋊Q₈×C₄₃	—	2	1	no	—
292	C₂²⋊Q₈×C₄₃	—	2	1	no	—
293	C₂²⋊Q₈×C₄₃	C₂³	1	1	yes	characteristic
294	C₂²⋊Q₈×C₄₃	C₂³	1	1	yes	characteristic
295	C₂²⋊Q₈×C₄₃	C₂³	1	1	yes	characteristic
296	C₂²⋊Q₈×C₄₃	C₂³	1	1	yes	characteristic
297	#121×C₄₃	—	2	1	no	—
298	#121×C₄₃	—	2	1	no	—
299	#121×C₄₃	—	2	1	no	—
300	#121×C₄₃	—	2	1	no	—
301	#121×C₄₃	—	2	1	no	—
302	#121×C₄₃	—	2	1	no	—
303	#121×C₄₃	—	2	1	no	—
304	#121×C₄₃	—	2	1	no	—
305	#121×C₄₃	—	2	1	no	—
306	#121×C₄₃	—	2	1	no	—
307	#121×C₄₃	C₂³	1	1	yes	characteristic
308	#121×C₄₃	C₂³	1	1	yes	characteristic
309	#121×C₄₃	C₂³	1	1	yes	characteristic
310	#121×C₄₃	C₂³	1	1	yes	characteristic
311	#120×C₄₃	—	2	1	no	—
312	#120×C₄₃	—	2	1	no	—
313	#120×C₄₃	—	2	1	no	—
314	#120×C₄₃	—	2	1	no	—
315	#120×C₄₃	—	2	1	no	—
316	#120×C₄₃	—	2	1	no	—
317	C₄×Q₈×C₄₃	C₂³	1	1	yes	characteristic
318	C₄×Q₈×C₄₃	C₂³	1	1	yes	characteristic
319	C₄×D₄×C₄₃	—	2	1	no	—
320	C₄×D₄×C₄₃	—	2	1	no	—
321	C₄×D₄×C₄₃	—	2	1	no	—
322	C₄×D₄×C₄₃	—	2	1	no	—
323	C₄×D₄×C₄₃	—	2	1	no	—
324	C₄×D₄×C₄₃	—	2	1	no	—
325	C₄×D₄×C₄₃	—	2	1	no	—
326	C₄×D₄×C₄₃	—	2	1	no	—
327	C₄×D₄×C₄₃	—	2	1	no	—
328	C₄×D₄×C₄₃	—	2	1	no	—
329	C₄×D₄×C₄₃	—	2	1	no	—
330	C₄×D₄×C₄₃	—	2	1	no	—
331	C₄×D₄×C₄₃	D₄	1	1	yes	characteristic
332	C₄×D₄×C₄₃	D₄	1	1	yes	characteristic
333	C₄×D₄×C₄₃	D₄	1	1	yes	characteristic
334	C₄×D₄×C₄₃	D₄	1	1	yes	characteristic
335	C₄×D₄×C₄₃	C₂³	1	1	yes	characteristic
336	C₄×D₄×C₄₃	C₂³	1	1	yes	characteristic
337	C₄×D₄×C₄₃	C₂³	1	1	yes	characteristic
338	C₄×D₄×C₄₃	C₂³	1	1	yes	characteristic
339	C₄×D₄×C₄₃	C₂³	1	1	yes	characteristic
340	C₄×D₄×C₄₃	C₂³	1	1	yes	characteristic
341	#117×C₄₃	—	2	1	no	—
342	#117×C₄₃	C₂³	1	1	yes	characteristic
343	C₂×C₄⋊C₄×C₄₃	—	2	1	no	—
344	C₂×C₄⋊C₄×C₄₃	D₄	1	1	yes	characteristic
345	C₂×C₂²⋊C₄×C₄₃	—	2	1	no	—
346	C₂×C₂²⋊C₄×C₄₃	—	2	1	no	—
347	C₂×C₂²⋊C₄×C₄₃	D₄	1	1	yes	characteristic
348	C₂×C₂²⋊C₄×C₄₃	D₄	1	1	yes	characteristic
349	C₂×C₄²×C₄₃	—	2	1	no	—
350	C₂×C₄²×C₄₃	C₂³	1	1	yes	characteristic
351	C₂⁴×C₄₃	—	2	1	no	—
352	C₂⁴×C₄₃	—	2	1	no	—
353	C₂⁴×C₄₃	C₂×D₄	1	1	yes	characteristic
354	C₂⁴×C₄₃	C₂×D₄	1	1	yes	characteristic
355	C₂³×D₄₃	—	2	1	no	—
356	#41×C₄₃	—	2	2	no	—
357	#41×C₄₃	—	2	2	no	—
358	#41×C₄₃	—	2	2	no	—
359	#41×C₄₃	—	2	2	no	—
360	#41×C₄₃	—	2	2	no	—
361	#41×C₄₃	—	2	2	no	—
362	#41×C₄₃	—	2	2	no	—
363	#41×C₄₃	—	2	2	no	—
364	#41×C₄₃	—	2	2	no	—
365	#41×C₄₃	—	4	4	no	—
366	#41×C₄₃	—	4	4	no	—
367	#41×C₄₃	—	4	1	no	—
368	#41×C₄₃	—	4	1	no	—
369	#41×C₄₃	—	4	1	no	—
370	#41×C₄₃	—	4	1	no	—
371	#41×C₄₃	—	4	4	no	—
372	#41×C₄₃	—	4	4	no	—
373	#41×C₄₃	#41	1	4	yes	—
374	C₂×Q₈×C₄₃	—	2	1	no	—
375	C₂×Q₈×C₄₃	—	2	1	no	—
376	C₂×Q₈×C₄₃	—	2	2	no	—
377	C₂×Q₈×C₄₃	—	2	2	no	—
378	C₂×Q₈×C₄₃	—	4	1	no	—
379	C₂×Q₈×C₄₃	—	4	1	no	—
380	C₂×Q₈×C₄₃	C₂⁴	1	1	yes	characteristic
381	C₂×Q₈×C₄₃	C₂⁴	1	1	yes	characteristic
382	C₂×Q₈×C₄₃	C₂⁴	1	1	yes	characteristic
383	C₂×D₄×C₄₃	—	2	1	no	—
384	C₂×D₄×C₄₃	—	2	1	no	—
385	C₂×D₄×C₄₃	—	2	1	no	—
386	C₂×D₄×C₄₃	—	2	1	no	—
387	C₂×D₄×C₄₃	—	2	1	no	—
388	C₂×D₄×C₄₃	—	2	1	no	—
389	C₂×D₄×C₄₃	—	2	1	no	—
390	C₂×D₄×C₄₃	—	2	1	no	—
391	C₂×D₄×C₄₃	—	2	1	no	—
392	C₂×D₄×C₄₃	—	2	1	no	—
393	C₂×D₄×C₄₃	—	2	1	no	—
394	C₂×D₄×C₄₃	—	2	1	no	—
395	C₂×D₄×C₄₃	—	2	1	no	—
396	C₂×D₄×C₄₃	—	2	1	no	—
397	C₂×D₄×C₄₃	—	2	1	no	—
398	C₂×D₄×C₄₃	—	2	2	no	—
399	C₂×D₄×C₄₃	—	2	2	no	—
400	C₂×D₄×C₄₃	—	4	2	no	—
401	C₂×D₄×C₄₃	—	4	4	no	—
402	C₂×D₄×C₄₃	—	4	4	no	—
403	C₂×D₄×C₄₃	—	4	1	no	—
404	C₂×D₄×C₄₃	—	4	1	no	—
405	C₂×D₄×C₄₃	—	4	4	no	—
406	C₂×D₄×C₄₃	C₂×D₄	1	1	yes	characteristic
407	C₂×D₄×C₄₃	C₂×D₄	1	1	yes	characteristic
408	C₂×D₄×C₄₃	C₂×D₄	1	1	yes	characteristic
409	C₂×D₄×C₄₃	C₂×D₄	1	1	yes	characteristic
410	C₂×D₄×C₄₃	C₂⁴	1	1	yes	characteristic
411	C₂×D₄×C₄₃	C₂⁴	1	1	yes	characteristic
412	C₂×D₄×C₄₃	C₂⁴	1	1	yes	characteristic
413	C₂²×C₄×C₄₃	—	2	1	no	—
414	C₂²×C₄×C₄₃	—	2	2	no	—
415	C₂²×C₄×C₄₃	—	2	2	no	—
416	C₂²×C₄×C₄₃	—	2	2	no	—
417	C₂²×C₄×C₄₃	—	2	2	no	—
418	C₂²×C₄×C₄₃	—	2	1	no	—
419	C₂²×C₄×C₄₃	—	2	1	no	—
420	C₂²×C₄×C₄₃	—	2	1	no	—
421	C₂²×C₄×C₄₃	—	2	1	no	—
422	C₂²×C₄×C₄₃	—	2	1	no	—
423	C₂²×C₄×C₄₃	—	2	1	no	—
424	C₂²×C₄×C₄₃	—	2	1	no	—
425	C₂²×C₄×C₄₃	—	2	1	no	—
426	C₂²×C₄×C₄₃	—	2	1	no	—
427	C₂²×C₄×C₄₃	—	2	1	no	—
428	C₂²×C₄×C₄₃	—	4	4	no	—
429	C₂²×C₄×C₄₃	—	4	4	no	—
430	C₂²×C₄×C₄₃	C₂×D₄	1	1	yes	characteristic
431	C₂²×C₄×C₄₃	C₂×D₄	1	1	yes	characteristic
432	C₂²×C₄×C₄₃	C₂×D₄	1	1	yes	characteristic
433	C₂²×C₄×C₄₃	C₂×D₄	1	1	yes	characteristic
434	C₂²×C₄×C₄₃	C₂×D₄	1	1	yes	characteristic
435	C₂²×C₄×C₄₃	C₂×D₄	1	1	yes	characteristic
436	C₂²×C₄×C₄₃	C₂×D₄	1	1	yes	characteristic
437	C₂²×C₄×C₄₃	C₂×D₄	1	1	yes	characteristic
438	C₂²×C₄×C₄₃	C₂⁴	1	1	yes	characteristic
439	C₂²×C₄×C₄₃	C₂⁴	1	1	yes	characteristic
440	C₂²×C₄×C₄₃	C₂⁴	1	1	yes	characteristic
441	C₂²×C₄×C₄₃	C₂⁴	1	1	yes	characteristic
442	C₂²×C₄×C₄₃	C₂⁴	1	1	yes	characteristic
443	C₂×C₂²⋊D₄₃	—	2	2	no	—
444	C₂×C₂²⋊D₄₃	—	2	2	no	—
445	C₂×C₂²⋊D₄₃	—	2	2	no	—
446	C₂×C₂²⋊D₄₃	—	2	2	no	—
447	C₂×C₂²⋊D₄₃	—	4	4	no	—
448	C₂×C₂²⋊D₄₃	—	8	2	no	—
449	C₂²×Dic₄₃	—	2	1	no	—
450	C₂²×Dic₄₃	—	2	1	no	—
451	C₂²×Dic₄₃	—	2	1	no	—
452	C₂²×Dic₄₃	—	2	2	no	—
453	C₂²×Dic₄₃	—	2	2	no	—
454	C₂²×Dic₄₃	—	8	2	no	—
455	C₂×D₁₇₂	—	2	1	no	—
456	C₂×D₁₇₂	—	2	2	no	—
457	C₂×D₁₇₂	—	2	2	no	—
458	C₂×D₁₇₂	C₂⁴	1	2	yes	—
459	C₂×C₄×D₄₃	—	2	2	no	—
460	C₂×C₄×D₄₃	—	2	2	no	—
461	C₂×C₄×D₄₃	—	8	2	no	—
462	C₄⋊C₄×C₄₃	—	2	1	no	—
463	C₄⋊C₄×C₄₃	—	2	1	no	—
464	C₄⋊C₄×C₄₃	—	2	1	no	—
465	C₄⋊C₄×C₄₃	—	2	1	no	—
466	C₄⋊C₄×C₄₃	—	2	1	no	—
467	C₄⋊C₄×C₄₃	—	2	1	no	—
468	C₄⋊C₄×C₄₃	—	2	1	no	—
469	C₄⋊C₄×C₄₃	—	2	1	no	—
470	C₄⋊C₄×C₄₃	C₂×D₄	1	1	yes	characteristic
471	C₄⋊C₄×C₄₃	C₂×D₄	1	1	yes	characteristic
472	C₄⋊C₄×C₄₃	C₂×D₄	1	1	yes	characteristic
473	C₄⋊C₄×C₄₃	C₂×D₄	1	1	yes	characteristic
474	C₄⋊C₄×C₄₃	C₂⁴	1	1	yes	characteristic
475	C₄⋊C₄×C₄₃	C₂⁴	1	1	yes	characteristic
476	C₂²⋊C₄×C₄₃	—	2	1	no	—
477	C₂²⋊C₄×C₄₃	—	2	1	no	—
478	C₂²⋊C₄×C₄₃	—	2	1	no	—
479	C₂²⋊C₄×C₄₃	—	2	1	no	—
480	C₂²⋊C₄×C₄₃	—	2	1	no	—
481	C₂²⋊C₄×C₄₃	—	2	1	no	—
482	C₂²⋊C₄×C₄₃	—	2	1	no	—
483	C₂²⋊C₄×C₄₃	—	2	1	no	—
484	C₂²⋊C₄×C₄₃	—	2	1	no	—
485	C₂²⋊C₄×C₄₃	—	2	1	no	—
486	C₂²⋊C₄×C₄₃	—	2	1	no	—
487	C₂²⋊C₄×C₄₃	—	2	1	no	—
488	C₂²⋊C₄×C₄₃	—	2	1	no	—
489	C₂²⋊C₄×C₄₃	—	2	1	no	—
490	C₂²⋊C₄×C₄₃	—	2	1	no	—
491	C₂²⋊C₄×C₄₃	C₂×D₄	1	1	yes	characteristic
492	C₂²⋊C₄×C₄₃	C₂×D₄	1	1	yes	characteristic
493	C₂²⋊C₄×C₄₃	C₂×D₄	1	1	yes	characteristic
494	C₂²⋊C₄×C₄₃	C₂×D₄	1	1	yes	characteristic
495	C₂²⋊C₄×C₄₃	C₂×D₄	1	1	yes	characteristic
496	C₂²⋊C₄×C₄₃	C₂×D₄	1	1	yes	characteristic
497	C₂²⋊C₄×C₄₃	C₂×D₄	1	1	yes	characteristic
498	C₂²⋊C₄×C₄₃	C₂×D₄	1	1	yes	characteristic
499	C₄²×C₄₃	—	2	1	no	—
500	C₄²×C₄₃	—	2	1	no	—
501	C₄²×C₄₃	—	2	1	no	—
502	C₄²×C₄₃	C₂×D₄	1	1	yes	characteristic
503	C₄²×C₄₃	C₂×D₄	1	1	yes	characteristic
504	C₄²×C₄₃	C₂⁴	1	1	yes	characteristic
505	C₄²×C₄₃	C₂⁴	1	1	yes	characteristic
506	C₂²⋊Dic₄₃	—	2	2	no	—
507	C₂²⋊Dic₄₃	—	2	2	no	—
508	#10621884	—	2	4	no	—
509	#10621884	—	4	2	no	—
510	#10621884	—	4	2	no	—
511	#10621882	—	2	4	no	—
512	#10621882	—	4	2	no	—
513	#10621882	—	4	2	no	—
514	(C₂×D₄₃)⋊C₄	—	2	2	no	—
515	(C₂×D₄₃)⋊C₄	—	2	2	no	—
516	(C₂×D₄₃)⋊C₄	—	2	2	no	—
517	(C₂×D₄₃)⋊C₄	—	2	2	no	—
518	(C₂×D₄₃)⋊C₄	—	2	2	no	—
519	(C₂×D₄₃)⋊C₄	—	2	2	no	—
520	C₄⋊Dic₄₃	—	2	1	no	—
521	C₄⋊Dic₄₃	—	2	1	no	—
522	C₄⋊Dic₄₃	—	2	2	no	—
523	C₄⋊Dic₄₃	—	2	2	no	—
524	C₄⋊Dic₄₃	—	2	1	no	—
525	C₄⋊Dic₄₃	C₂⁴	1	2	yes	—
526	C₄⋊Dic₄₃	C₂⁴	1	2	yes	—
527	C₄⋊Dic₄₃	C₂⁴	1	2	yes	—
528	Dic₄₃⋊C₄	—	2	2	no	—
529	Dic₄₃⋊C₄	—	2	2	no	—
530	Dic₄₃⋊C₄	—	2	2	no	—
531	Dic₄₃⋊C₄	—	2	2	no	—
532	C₄×Dic₄₃	—	2	2	no	—
533	C₄×Dic₄₃	—	2	2	no	—
534	#10621877	—	2	2	no	—
535	#10621877	—	2	2	no	—
536	#10621877	—	2	2	no	—
537	#10621877	—	2	2	no	—
538	#10621877	—	4	2	no	—
539	#10621877	—	4	2	no	—
540	C₂×C₄₃⋊C₈	—	4	2	no	—
541	C₂×C₄₃⋊C₈	—	4	2	no	—
542	C₂×C₄₃⋊C₈	C₂⁴	1	2	yes	—
543	C₂×C₄₃⋊C₈	C₂⁴	1	2	yes	—
544	C₂×C₄₃⋊C₈	C₂⁴	1	2	yes	—
545	C₂×C₄₃⋊C₈	C₂⁴	1	2	yes	—
546	C₂³×C₄₃	—	2	2	no	—
547	C₂³×C₄₃	—	2	2	no	—
548	C₂³×C₄₃	—	2	1	no	—
549	C₂³×C₄₃	—	2	2	no	—
550	C₂³×C₄₃	—	2	1	no	—
551	C₂³×C₄₃	—	2	1	no	—
552	C₂³×C₄₃	—	4	1	no	—
553	C₂³×C₄₃	—	4	1	no	—
554	C₂³×C₄₃	—	4	1	no	—
555	C₂³×C₄₃	—	4	2	no	—
556	C₂³×C₄₃	—	4	2	no	—
557	C₂³×C₄₃	—	4	2	no	—
558	C₂³×C₄₃	—	4	2	no	—
559	C₂³×C₄₃	—	8	1	no	—
560	C₂³×C₄₃	—	8	1	no	—
561	C₂³×C₄₃	C₂²×D₄	1	1	yes	characteristic
562	C₂³×C₄₃	C₂²×D₄	1	1	yes	characteristic
563	C₂³×C₄₃	C₂²×D₄	1	1	yes	characteristic
564	C₂³×C₄₃	C₂²×D₄	1	1	yes	characteristic
565	C₂³×C₄₃	C₂²×D₄	1	1	yes	characteristic
566	C₂²×D₄₃	—	2	2	no	—
567	C₂²×D₄₃	—	4	2	no	—
568	C₂²×D₄₃	—	4	2	no	—
569	C₂²×D₄₃	—	4	2	no	—
570	Q₈×C₄₃	—	2	1	no	—
571	Q₈×C₄₃	—	2	1	no	—
572	Q₈×C₄₃	—	2	1	no	—
573	Q₈×C₄₃	—	2	1	no	—
574	Q₈×C₄₃	—	2	1	no	—
575	Q₈×C₄₃	—	4	2	no	—
576	Q₈×C₄₃	—	4	2	no	—
577	Q₈×C₄₃	C₂×#41	1	2	yes	—
578	D₄×C₄₃	—	2	4	no	—
579	D₄×C₄₃	—	2	2	no	—
580	D₄×C₄₃	—	2	2	no	—
581	D₄×C₄₃	—	2	1	no	—
582	D₄×C₄₃	—	2	1	no	—
583	D₄×C₄₃	—	2	1	no	—
584	D₄×C₄₃	—	2	1	no	—
585	D₄×C₄₃	—	2	1	no	—
586	D₄×C₄₃	—	4	1	no	—
587	D₄×C₄₃	—	4	1	no	—
588	D₄×C₄₃	—	4	2	no	—
589	D₄×C₄₃	—	4	2	no	—
590	D₄×C₄₃	—	4	2	no	—
591	D₄×C₄₃	—	4	2	no	—
592	D₄×C₄₃	—	4	2	no	—
593	D₄×C₄₃	—	4	2	no	—
594	D₄×C₄₃	—	4	2	no	—
595	D₄×C₄₃	—	4	2	no	—
596	D₄×C₄₃	—	4	2	no	—
597	D₄×C₄₃	—	4	2	no	—
598	D₄×C₄₃	—	4	2	no	—
599	D₄×C₄₃	—	8	1	no	—
600	D₄×C₄₃	—	8	1	no	—
601	D₄×C₄₃	—	8	1	no	—
602	D₄×C₄₃	C₂×#41	1	2	yes	—
603	C₂×C₄×C₄₃	—	2	2	no	—
604	C₂×C₄×C₄₃	—	2	2	no	—
605	C₂×C₄×C₄₃	—	2	1	no	—
606	C₂×C₄×C₄₃	—	2	2	no	—
607	C₂×C₄×C₄₃	—	2	2	no	—
608	C₂×C₄×C₄₃	—	2	2	no	—
609	C₂×C₄×C₄₃	—	2	2	no	—
610	C₂×C₄×C₄₃	—	2	4	no	—
611	C₂×C₄×C₄₃	—	2	1	no	—
612	C₂×C₄×C₄₃	—	2	1	no	—
613	C₂×C₄×C₄₃	—	2	1	no	—
614	C₂×C₄×C₄₃	—	2	1	no	—
615	C₂×C₄×C₄₃	—	2	1	no	—
616	C₂×C₄×C₄₃	—	2	1	no	—
617	C₂×C₄×C₄₃	—	2	1	no	—
618	C₂×C₄×C₄₃	—	2	1	no	—
619	C₂×C₄×C₄₃	—	2	1	no	—
620	C₂×C₄×C₄₃	—	2	1	no	—
621	C₂×C₄×C₄₃	—	2	1	no	—
622	C₂×C₄×C₄₃	—	2	1	no	—
623	C₂×C₄×C₄₃	—	4	1	no	—
624	C₂×C₄×C₄₃	—	4	1	no	—
625	C₂×C₄×C₄₃	—	4	2	no	—
626	C₂×C₄×C₄₃	—	4	2	no	—
627	C₂×C₄×C₄₃	—	4	2	no	—
628	C₂×C₄×C₄₃	—	4	2	no	—
629	C₂×C₄×C₄₃	—	4	2	no	—
630	C₂×C₄×C₄₃	—	4	2	no	—
631	C₂×C₄×C₄₃	—	4	2	no	—
632	C₂×C₄×C₄₃	—	4	2	no	—
633	C₂×C₄×C₄₃	—	4	2	no	—
634	C₂×C₄×C₄₃	—	8	1	no	—
635	C₂×C₄×C₄₃	C₂²×D₄	1	1	yes	characteristic
636	C₂×C₄×C₄₃	C₂²×D₄	1	1	yes	characteristic
637	C₂×C₄×C₄₃	C₂²×D₄	1	1	yes	characteristic
638	C₂×C₄×C₄₃	C₂²×D₄	1	1	yes	characteristic
639	C₂×C₄×C₄₃	C₂²×D₄	1	1	yes	characteristic
640	C₂×C₄×C₄₃	C₂²×D₄	1	1	yes	characteristic
641	C₂×C₄×C₄₃	C₂²×D₄	1	1	yes	characteristic
642	C₂×C₄×C₄₃	C₂²×D₄	1	1	yes	characteristic
643	C₂×C₄×C₄₃	C₂²×D₄	1	1	yes	characteristic
644	C₂×C₄×C₄₃	C₂×#41	1	2	yes	—
645	C₂×C₄×C₄₃	H(5,𝔽₂)	1	2	yes	—
646	C₂×C₄×C₄₃	C₂⁵	1	1	yes	characteristic
647	C₂²⋊D₄₃	—	4	4	no	—
648	C₂²⋊D₄₃	—	4	4	no	—
649	C₂²⋊D₄₃	—	8	2	no	—
650	C₂²⋊D₄₃	—	8	2	no	—
651	C₂×Dic₄₃	—	2	2	no	—
652	C₂×Dic₄₃	—	2	2	no	—
653	C₂×Dic₄₃	—	2	2	no	—
654	C₂×Dic₄₃	—	4	2	no	—
655	C₂×Dic₄₃	—	4	2	no	—
656	C₂×Dic₄₃	—	4	2	no	—
657	C₂×Dic₄₃	—	8	2	no	—
658	C₂×Dic₄₃	—	8	2	no	—
659	D₁₇₂	—	2	2	no	—
660	D₁₇₂	—	2	2	no	—
661	D₁₇₂	—	4	2	no	—
662	C₄×D₄₃	—	8	2	no	—
663	C₄×D₄₃	—	8	2	no	—
664	C₄₃⋊C₈	—	2	2	no	—
665	C₄₃⋊C₈	—	2	2	no	—
666	C₄₃⋊C₈	—	2	2	no	—
667	C₄₃⋊C₈	—	2	2	no	—
668	#61164	—	43	1	no	maximal, Sylow
669	C₂²×C₄₃	—	2	1	no	—
670	C₂²×C₄₃	—	2	1	no	—
671	C₂²×C₄₃	—	2	1	no	—
672	C₂²×C₄₃	—	2	1	no	—
673	C₂²×C₄₃	—	2	1	no	—
674	C₂²×C₄₃	—	2	1	no	—
675	C₂²×C₄₃	—	2	1	no	—
676	C₂²×C₄₃	—	2	1	no	—
677	C₂²×C₄₃	—	2	1	no	—
678	C₂²×C₄₃	—	2	1	no	—
679	C₂²×C₄₃	—	2	2	no	—
680	C₂²×C₄₃	—	2	1	no	—
681	C₂²×C₄₃	—	2	1	no	—
682	C₂²×C₄₃	—	2	1	no	—
683	C₂²×C₄₃	—	4	4	no	—
684	C₂²×C₄₃	—	4	1	no	—
685	C₂²×C₄₃	—	4	1	no	—
686	C₂²×C₄₃	—	4	1	no	—
687	C₂²×C₄₃	—	4	1	no	—
688	C₂²×C₄₃	—	4	1	no	—
689	C₂²×C₄₃	—	4	1	no	—
690	C₂²×C₄₃	—	4	1	no	—
691	C₂²×C₄₃	—	4	1	no	—
692	C₂²×C₄₃	—	8	2	no	—
693	C₂²×C₄₃	—	8	4	no	—
694	C₂²×C₄₃	—	8	4	no	—
695	C₂²×C₄₃	#546	1	2	yes	—
696	C₂²×C₄₃	#575	1	2	yes	—
697	C₂²×C₄₃	C₂³×D₄	1	1	yes	characteristic
698	C₂×D₄₃	—	4	2	no	—
699	C₂×D₄₃	—	4	2	no	—
700	C₂×D₄₃	—	4	2	no	—
701	C₂×D₄₃	—	8	4	no	—
702	C₄×C₄₃	—	2	1	no	—
703	C₄×C₄₃	—	2	1	no	—
704	C₄×C₄₃	—	2	1	no	—
705	C₄×C₄₃	—	2	1	no	—
706	C₄×C₄₃	—	2	1	no	—
707	C₄×C₄₃	—	2	1	no	—
708	C₄×C₄₃	—	2	2	no	—
709	C₄×C₄₃	—	2	1	no	—
710	C₄×C₄₃	—	2	1	no	—
711	C₄×C₄₃	—	4	1	no	—
712	C₄×C₄₃	—	4	1	no	—
713	C₄×C₄₃	—	4	1	no	—
714	C₄×C₄₃	—	4	1	no	—
715	C₄×C₄₃	#546	1	2	yes	—
716	C₄×C₄₃	C₂²×#41	1	1	yes	characteristic
717	C₄×C₄₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
718	Dic₄₃	—	4	2	no	—
719	Dic₄₃	—	4	2	no	—
720	Dic₄₃	—	4	2	no	—
721	C₂×#553	—	43	1	no	—
722	D₄×#41	D₄₃	1	1	yes	characteristic, complemented
723	#3326	—	43	2	no	—
724	#3322	—	43	2	no	—
725	#3320	—	43	2	no	—
726	#3318	—	43	2	no	—
727	#3309	—	43	2	no	—
728	#3307	—	43	2	no	—
729	#3301	—	43	2	no	—
730	#3297	—	43	2	no	—
731	#3142	—	43	1	no	—
732	#3093	—	43	1	no	—
733	#3092	—	43	1	no	—
734	#3080	—	43	1	no	—
735	#3055	—	43	1	no	—
736	#3055	—	43	1	no	—
737	#3036	—	43	1	no	—
738	#3006	—	43	1	no	—
739	#3006	—	43	1	no	—
740	C₄×AGL(1,ℤ/8)	—	43	1	no	—
741	D₄×M₁₆	—	43	1	no	—
742	#2896	—	43	1	no	—
743	C₂×#417	—	43	1	no	—
744	C₂×C₄₃	—	2	2	no	—
745	C₂×C₄₃	—	2	2	no	—
746	C₂×C₄₃	—	4	1	no	—
747	C₂×C₄₃	—	4	1	no	—
748	C₂×C₄₃	—	4	1	no	—
749	C₂×C₄₃	—	4	2	no	—
750	C₂×C₄₃	—	8	1	no	—
751	C₂×C₄₃	—	8	1	no	—
752	C₂×C₄₃	C₂×#546	1	1	yes	characteristic
753	C₂×C₄₃	C₂×#575	1	1	yes	characteristic
754	C₂×C₄₃	#3585	1	1	yes	characteristic
755	D₄₃	—	8	2	no	—
756	C₂²×#41	C₂×D₄₃	1	1	yes	characteristic
757	C₂²×#41	C₂×D₄₃	1	1	yes	characteristic
758	C₂×AGL(1,ℤ/8)	—	43	1	no	—
759	C₂×AGL(1,ℤ/8)	—	43	1	no	—
760	C₂×AGL(1,ℤ/8)	—	43	1	no	—
761	C₂²×M₁₆	—	43	1	no	—
762	C₂²×M₁₆	—	43	1	no	—
763	#553	—	43	2	no	—
764	#553	—	43	2	no	—
765	#553	—	43	2	no	—
766	#553	—	43	2	no	—
767	#553	—	86	1	no	—
768	#553	—	86	1	no	—
769	#553	—	86	1	no	—
770	#553	—	86	1	no	—
771	#550	C₂×D₄₃	1	1	yes	characteristic, complemented
772	D₄×Q₈	C₂×D₄₃	1	1	yes	characteristic, complemented
773	#548	C₂×D₄₃	1	1	yes	characteristic, complemented
774	#548	C₂×D₄₃	1	1	yes	characteristic, complemented
775	#547	—	2	1	no	—
776	#547	C₂×D₄₃	1	1	yes	characteristic, complemented
777	#546	—	2	1	no	—
778	#546	—	2	1	no	—
779	#546	C₂×D₄₃	1	1	yes	characteristic, complemented
780	#546	C₂×D₄₃	1	1	yes	characteristic, complemented
781	D₄²	—	2	1	no	—
782	D₄²	C₂×D₄₃	1	1	yes	characteristic, complemented
783	#532	—	2	1	no	—
784	#532	C₂×D₄₃	1	1	yes	characteristic
785	C₂×#126	—	86	1	no	—
786	C₂×#125	—	43	1	no	—
787	#525	—	2	1	no	—
788	#525	—	2	1	no	—
789	#525	C₂×D₄₃	1	1	yes	characteristic
790	#525	C₂×D₄₃	1	1	yes	characteristic
791	C₂×#123	—	86	1	no	—
792	C₂×#121	—	43	1	no	—
793	C₂×#121	—	43	1	no	—
794	C₂×#121	—	86	1	no	—
795	C₄×#41	C₂×D₄₃	1	1	yes	characteristic
796	C₂×C₄×D₄	—	2	1	no	—
797	C₂×C₄×D₄	—	43	1	no	—
798	C₂×C₄×D₄	—	86	1	no	—
799	C₂×C₄×D₄	C₂×D₄₃	1	1	yes	characteristic
800	C₂×#117	—	43	1	no	—
801	C₂²×C₄⋊C₄	—	43	1	no	—
802	#491	—	43	2	no	—
803	#490	—	43	2	no	—
804	#488	—	43	2	no	—
805	#488	—	43	2	no	—
806	#485	—	43	2	no	—
807	#485	—	43	2	no	—
808	#484	—	43	2	no	—
809	#483	—	43	2	no	—
810	#482	—	43	2	no	—
811	#482	—	43	2	no	—
812	#481	—	43	2	no	—
813	#480	—	43	2	no	—
814	#479	—	43	2	no	—
815	#479	—	43	2	no	—
816	#478	—	43	2	no	—
817	#478	—	43	2	no	—
818	#469	—	43	2	no	—
819	#469	—	43	2	no	—
820	#468	—	43	2	no	—
821	#468	—	43	2	no	—
822	#466	—	43	2	no	—
823	#466	—	43	2	no	—
824	#465	—	43	2	no	—
825	#465	—	43	2	no	—
826	#463	—	43	2	no	—
827	#463	—	43	2	no	—
828	#461	—	43	2	no	—
829	#459	—	43	2	no	—
830	#449	—	43	2	no	—
831	#449	—	43	2	no	—
832	#449	—	43	2	no	—
833	#449	—	43	2	no	—
834	#448	—	43	2	no	—
835	#448	—	43	2	no	—
836	#447	—	43	2	no	—
837	#447	—	43	2	no	—
838	#442	—	43	2	no	—
839	#440	—	43	2	no	—
840	C₄×SD₁₆	—	43	2	no	—
841	C₄×D₈	—	43	2	no	—
842	#436	—	43	2	no	—
843	#435	—	43	2	no	—
844	#435	—	43	2	no	—
845	C₈×D₄	—	43	2	no	—
846	#428	—	43	1	no	—
847	#428	—	43	1	no	—
848	#428	—	43	1	no	—
849	#423	—	43	1	no	—
850	#419	—	43	2	no	—
851	#418	—	43	2	no	—
852	#418	—	43	1	no	—
853	#417	—	43	1	no	—
854	#417	—	43	1	no	—
855	#417	—	43	1	no	—
856	#417	—	43	1	no	—
857	#417	—	43	1	no	—
858	#417	—	43	1	no	—
859	#417	—	43	1	no	—
860	#417	—	43	1	no	—
861	#417	—	43	1	no	—
862	#417	—	43	2	no	—
863	#417	—	43	2	no	—
864	#416	—	43	2	no	—
865	#416	—	43	2	no	—
866	C₂×#103	—	43	2	no	—
867	C₂×#102	—	43	2	no	—
868	#407	—	43	1	no	—
869	#407	—	43	1	no	—
870	C₄×M₁₆	—	43	1	no	—
871	C₄₃	#61164	1	1	yes	characteristic, complemented, Sylow
872	C₂×#41	—	2	1	no	—
873	C₂×#41	—	2	1	no	—
874	C₂×#41	—	2	1	no	—
875	C₂×#41	—	2	1	no	—
876	C₂×#41	—	2	4	no	—
877	C₂×#41	—	2	4	no	—
878	C₂×#41	—	4	2	no	—
879	C₂×#41	—	4	2	no	—
880	C₂×#41	C₂²×D₄₃	1	1	yes	characteristic
881	C₂×#41	C₂²×D₄₃	1	1	yes	characteristic
882	C₂×#41	C₂²×D₄₃	1	1	yes	characteristic
883	C₂×#41	C₂²×D₄₃	1	1	yes	characteristic
884	C₂×#41	C₂²×D₄₃	1	1	yes	characteristic
885	C₂×#41	C₂²×D₄₃	1	1	yes	characteristic
886	C₂×#41	C₂²×D₄₃	1	1	yes	characteristic
887	C₂²×Q₈	C₂²×D₄₃	1	1	yes	characteristic
888	C₂²×Q₈	C₂²×D₄₃	1	1	yes	characteristic
889	C₂²×D₄	—	2	1	no	—
890	C₂²×D₄	—	2	1	no	—
891	C₂²×D₄	—	2	1	no	—
892	C₂²×D₄	—	43	1	no	—
893	C₂²×D₄	—	86	1	no	—
894	C₂²×D₄	—	86	1	no	—
895	C₂²×D₄	C₂²⋊D₄₃	1	1	yes	characteristic
896	C₂²×D₄	C₂²×D₄₃	1	1	yes	characteristic
897	C₂²×D₄	C₂²×D₄₃	1	1	yes	characteristic
898	C₂³×C₄	—	2	1	no	—
899	C₂³×C₄	—	2	1	no	—
900	C₂³×C₄	—	86	1	no	—
901	C₂³×C₄	—	86	1	no	—
902	C₂³×C₄	C₂²×D₄₃	1	1	yes	characteristic
903	C₂³×C₄	C₂²×D₄₃	1	1	yes	characteristic
904	AGL(1,ℤ/8)	—	86	4	no	—
905	AGL(1,ℤ/8)	—	172	2	no	—
906	AGL(1,ℤ/8)	—	172	2	no	—
907	C₂×SD₁₆	—	43	2	no	—
908	C₂×SD₁₆	—	43	2	no	—
909	C₂×SD₁₆	—	43	2	no	—
910	C₂×D₈	—	43	2	no	—
911	C₂×D₈	—	43	2	no	—
912	C₂×D₈	—	43	2	no	—
913	C₂×M₁₆	—	43	1	no	—
914	C₂×M₁₆	—	43	1	no	—
915	C₂×M₁₆	—	43	1	no	—
916	C₂×M₁₆	—	43	1	no	—
917	C₂×M₁₆	—	43	2	no	—
918	C₂×M₁₆	—	43	2	no	—
919	C₂×M₁₆	—	172	2	no	—
920	C₂×M₁₆	—	172	2	no	—
921	C₂²×C₈	—	43	2	no	—
922	C₂²×C₈	—	43	2	no	—
923	C₄⋊Q₈	—	2	1	no	—
924	C₄⋊Q₈	C₂²×D₄₃	1	1	yes	characteristic
925	#127	—	2	1	no	—
926	#127	C₂²×D₄₃	1	1	yes	characteristic
927	#126	—	86	2	no	—
928	#126	—	86	2	no	—
929	#126	—	86	2	no	—
930	#126	—	86	2	no	—
931	#125	—	43	2	no	—
932	#125	—	43	2	no	—
933	#125	—	86	1	no	—
934	#125	—	86	1	no	—
935	#124	—	2	1	no	—
936	#124	—	2	1	no	—
937	#124	C₂²×D₄₃	1	1	yes	characteristic
938	#124	C₂²×D₄₃	1	1	yes	characteristic
939	#123	—	2	1	no	—
940	#123	—	2	1	no	—
941	#123	—	2	1	no	—
942	#123	—	2	1	no	—
943	#123	—	2	1	no	—
944	#123	—	2	1	no	—
945	#123	—	86	2	no	—
946	#123	—	86	2	no	—
947	#123	—	86	2	no	—
948	#123	—	86	2	no	—
949	C₂²⋊Q₈	—	2	1	no	—
950	C₂²⋊Q₈	—	2	1	no	—
951	C₂²⋊Q₈	—	2	1	no	—
952	C₂²⋊Q₈	—	2	1	no	—
953	C₂²⋊Q₈	C₂²×D₄₃	1	1	yes	characteristic
954	C₂²⋊Q₈	C₂²×D₄₃	1	1	yes	characteristic
955	C₂²⋊Q₈	C₂²×D₄₃	1	1	yes	characteristic
956	C₂²⋊Q₈	C₂²×D₄₃	1	1	yes	characteristic
957	#121	—	2	1	no	—
958	#121	—	2	1	no	—
959	#121	—	2	1	no	—
960	#121	—	2	1	no	—
961	#121	—	2	1	no	—
962	#121	—	2	1	no	—
963	#121	—	2	1	no	—
964	#121	—	2	1	no	—
965	#121	—	2	1	no	—
966	#121	—	2	1	no	—
967	#121	—	43	2	no	—
968	#121	—	43	2	no	—
969	#121	—	43	2	no	—
970	#121	—	43	2	no	—
971	#121	—	86	2	no	—
972	#121	—	86	2	no	—
973	#121	—	86	2	no	—
974	#121	—	86	2	no	—
975	#121	—	86	1	no	—
976	#121	—	86	1	no	—
977	#121	—	86	1	no	—
978	#121	—	86	1	no	—
979	#121	C₂²×D₄₃	1	1	yes	characteristic
980	#121	C₂²×D₄₃	1	1	yes	characteristic
981	#121	C₂²×D₄₃	1	1	yes	characteristic
982	#121	C₂²×D₄₃	1	1	yes	characteristic
983	#120	—	2	1	no	—
984	#120	—	2	1	no	—
985	#120	—	2	1	no	—
986	#120	—	2	1	no	—
987	#120	—	2	1	no	—
988	#120	—	2	1	no	—
989	C₄×Q₈	C₂²×D₄₃	1	1	yes	characteristic
990	C₄×Q₈	C₂²×D₄₃	1	1	yes	characteristic
991	C₄×D₄	—	2	1	no	—
992	C₄×D₄	—	2	1	no	—
993	C₄×D₄	—	2	1	no	—
994	C₄×D₄	—	2	1	no	—
995	C₄×D₄	—	2	1	no	—
996	C₄×D₄	—	2	1	no	—
997	C₄×D₄	—	2	1	no	—
998	C₄×D₄	—	2	1	no	—
999	C₄×D₄	—	2	1	no	—
1000	C₄×D₄	—	2	1	no	—
1001	C₄×D₄	—	2	1	no	—
1002	C₄×D₄	—	2	1	no	—
1003	C₄×D₄	—	43	2	no	—
1004	C₄×D₄	—	43	2	no	—
1005	C₄×D₄	—	86	2	no	—
1006	C₄×D₄	—	86	2	no	—
1007	C₄×D₄	—	86	2	no	—
1008	C₄×D₄	—	86	2	no	—
1009	C₄×D₄	—	86	1	no	—
1010	C₄×D₄	—	86	1	no	—
1011	C₄×D₄	C₂²⋊D₄₃	1	1	yes	characteristic
1012	C₄×D₄	C₂²⋊D₄₃	1	1	yes	characteristic
1013	C₄×D₄	C₂²⋊D₄₃	1	1	yes	characteristic
1014	C₄×D₄	C₂²⋊D₄₃	1	1	yes	characteristic
1015	C₄×D₄	C₂²×D₄₃	1	1	yes	characteristic
1016	C₄×D₄	C₂²×D₄₃	1	1	yes	characteristic
1017	C₄×D₄	C₂²×D₄₃	1	1	yes	characteristic
1018	C₄×D₄	C₂²×D₄₃	1	1	yes	characteristic
1019	C₄×D₄	C₂²×D₄₃	1	1	yes	characteristic
1020	C₄×D₄	C₂²×D₄₃	1	1	yes	characteristic
1021	#117	—	2	1	no	—
1022	#117	—	43	2	no	—
1023	#117	—	43	2	no	—
1024	#117	—	86	1	no	—
1025	#117	—	86	1	no	—
1026	#117	C₂²×D₄₃	1	1	yes	characteristic
1027	C₂×C₄⋊C₄	—	2	1	no	—
1028	C₂×C₄⋊C₄	—	43	1	no	—
1029	C₂×C₄⋊C₄	—	43	1	no	—
1030	C₂×C₄⋊C₄	—	43	2	no	—
1031	C₂×C₄⋊C₄	—	43	2	no	—
1032	C₂×C₄⋊C₄	—	43	1	no	—
1033	C₂×C₄⋊C₄	—	86	1	no	—
1034	C₂×C₄⋊C₄	—	86	1	no	—
1035	C₂×C₄⋊C₄	—	86	1	no	—
1036	C₂×C₄⋊C₄	—	86	1	no	—
1037	C₂×C₄⋊C₄	—	86	1	no	—
1038	C₂×C₄⋊C₄	C₂²⋊D₄₃	1	1	yes	characteristic
1039	C₂×C₂²⋊C₄	—	2	1	no	—
1040	C₂×C₂²⋊C₄	—	2	1	no	—
1041	C₂×C₂²⋊C₄	—	86	1	no	—
1042	C₂×C₂²⋊C₄	—	86	1	no	—
1043	C₂×C₂²⋊C₄	—	86	1	no	—
1044	C₂×C₂²⋊C₄	—	86	1	no	—
1045	C₂×C₂²⋊C₄	C₂²⋊D₄₃	1	1	yes	characteristic
1046	C₂×C₂²⋊C₄	C₂²⋊D₄₃	1	1	yes	characteristic
1047	C₂×C₄²	—	2	1	no	—
1048	C₂×C₄²	—	86	1	no	—
1049	C₂×C₄²	C₂²×D₄₃	1	1	yes	characteristic
1050	#107	—	43	2	no	—
1051	#107	—	43	2	no	—
1052	#107	—	43	2	no	—
1053	#106	—	43	2	no	—
1054	#106	—	43	2	no	—
1055	#106	—	43	2	no	—
1056	C₄⋊C₈	—	43	2	no	—
1057	C₄⋊C₈	—	43	2	no	—
1058	#103	—	43	2	no	—
1059	#103	—	43	2	no	—
1060	#103	—	43	2	no	—
1061	#103	—	43	2	no	—
1062	#103	—	43	2	no	—
1063	#103	—	43	2	no	—
1064	#103	—	43	2	no	—
1065	#103	—	43	2	no	—
1066	#103	—	43	2	no	—
1067	#102	—	43	2	no	—
1068	#102	—	43	2	no	—
1069	#102	—	43	2	no	—
1070	#102	—	43	2	no	—
1071	#102	—	43	2	no	—
1072	#102	—	43	2	no	—
1073	#102	—	43	2	no	—
1074	#102	—	43	2	no	—
1075	#102	—	43	2	no	—
1076	#102	—	43	2	no	—
1077	#102	—	43	2	no	—
1078	C₂²⋊C₈	—	43	2	no	—
1079	C₂²⋊C₈	—	43	2	no	—
1080	C₂²⋊C₈	—	43	2	no	—
1081	C₂²⋊C₈	—	43	2	no	—
1082	#97	—	43	2	no	—
1083	C₄×C₈	—	43	2	no	—
1084	C₂⁴	—	2	1	no	—
1085	C₂⁴	—	2	1	no	—
1086	C₂⁴	—	86	1	no	—
1087	C₂⁴	C₂×C₂²⋊D₄₃	1	1	yes	characteristic
1088	C₂⁴	C₂×C₂²⋊D₄₃	1	1	yes	characteristic
1089	#41	—	2	2	no	—
1090	#41	—	2	2	no	—
1091	#41	—	2	2	no	—
1092	#41	—	2	2	no	—
1093	#41	—	2	2	no	—
1094	#41	—	2	2	no	—
1095	#41	—	2	2	no	—
1096	#41	—	2	2	no	—
1097	#41	—	2	2	no	—
1098	#41	—	4	4	no	—
1099	#41	—	4	4	no	—
1100	#41	—	4	1	no	—
1101	#41	—	4	1	no	—
1102	#41	—	4	1	no	—
1103	#41	—	4	1	no	—
1104	#41	—	4	4	no	—
1105	#41	—	4	4	no	—
1106	#41	#10621900	1	4	yes	—
1107	C₂×Q₈	—	2	1	no	—
1108	C₂×Q₈	—	2	1	no	—
1109	C₂×Q₈	—	2	2	no	—
1110	C₂×Q₈	—	2	2	no	—
1111	C₂×Q₈	—	4	1	no	—
1112	C₂×Q₈	—	4	1	no	—
1113	C₂×Q₈	C₂³×D₄₃	1	1	yes	characteristic
1114	C₂×Q₈	C₂³×D₄₃	1	1	yes	characteristic
1115	C₂×Q₈	C₂³×D₄₃	1	1	yes	characteristic
1116	C₂×D₄	—	2	1	no	—
1117	C₂×D₄	—	2	2	no	—
1118	C₂×D₄	—	2	2	no	—
1119	C₂×D₄	—	2	1	no	—
1120	C₂×D₄	—	2	1	no	—
1121	C₂×D₄	—	2	1	no	—
1122	C₂×D₄	—	2	1	no	—
1123	C₂×D₄	—	2	1	no	—
1124	C₂×D₄	—	2	1	no	—
1125	C₂×D₄	—	2	1	no	—
1126	C₂×D₄	—	2	1	no	—
1127	C₂×D₄	—	2	1	no	—
1128	C₂×D₄	—	2	1	no	—
1129	C₂×D₄	—	2	1	no	—
1130	C₂×D₄	—	2	1	no	—
1131	C₂×D₄	—	2	1	no	—
1132	C₂×D₄	—	2	1	no	—
1133	C₂×D₄	—	4	1	no	—
1134	C₂×D₄	—	4	1	no	—
1135	C₂×D₄	—	4	2	no	—
1136	C₂×D₄	—	4	4	no	—
1137	C₂×D₄	—	4	4	no	—
1138	C₂×D₄	—	4	4	no	—
1139	C₂×D₄	—	43	2	no	—
1140	C₂×D₄	—	86	2	no	—
1141	C₂×D₄	—	86	2	no	—
1142	C₂×D₄	—	86	2	no	—
1143	C₂×D₄	—	86	2	no	—
1144	C₂×D₄	—	86	1	no	—
1145	C₂×D₄	—	86	2	no	—
1146	C₂×D₄	—	86	2	no	—
1147	C₂×D₄	—	344	2	no	—
1148	C₂×D₄	—	172	4	no	—
1149	C₂×D₄	C₂×C₂²⋊D₄₃	1	1	yes	characteristic
1150	C₂×D₄	C₂×C₂²⋊D₄₃	1	1	yes	characteristic
1151	C₂×D₄	C₂×C₂²⋊D₄₃	1	1	yes	characteristic
1152	C₂×D₄	C₂×C₂²⋊D₄₃	1	1	yes	characteristic
1153	C₂×D₄	C₂³×D₄₃	1	1	yes	characteristic
1154	C₂×D₄	C₂³×D₄₃	1	1	yes	characteristic
1155	C₂×D₄	C₂³×D₄₃	1	1	yes	characteristic
1156	C₂²×C₄	—	2	1	no	—
1157	C₂²×C₄	—	2	2	no	—
1158	C₂²×C₄	—	2	2	no	—
1159	C₂²×C₄	—	2	2	no	—
1160	C₂²×C₄	—	2	2	no	—
1161	C₂²×C₄	—	2	1	no	—
1162	C₂²×C₄	—	2	1	no	—
1163	C₂²×C₄	—	2	1	no	—
1164	C₂²×C₄	—	2	1	no	—
1165	C₂²×C₄	—	2	1	no	—
1166	C₂²×C₄	—	2	1	no	—
1167	C₂²×C₄	—	2	1	no	—
1168	C₂²×C₄	—	2	1	no	—
1169	C₂²×C₄	—	2	1	no	—
1170	C₂²×C₄	—	2	1	no	—
1171	C₂²×C₄	—	4	4	no	—
1172	C₂²×C₄	—	4	4	no	—
1173	C₂²×C₄	—	86	2	no	—
1174	C₂²×C₄	—	86	2	no	—
1175	C₂²×C₄	—	86	1	no	—
1176	C₂²×C₄	—	86	1	no	—
1177	C₂²×C₄	—	86	1	no	—
1178	C₂²×C₄	—	86	2	no	—
1179	C₂²×C₄	—	86	2	no	—
1180	C₂²×C₄	—	344	2	no	—
1181	C₂²×C₄	—	344	2	no	—
1182	C₂²×C₄	C₂×C₂²⋊D₄₃	1	1	yes	characteristic
1183	C₂²×C₄	C₂×C₂²⋊D₄₃	1	1	yes	characteristic
1184	C₂²×C₄	C₂×C₂²⋊D₄₃	1	1	yes	characteristic
1185	C₂²×C₄	C₂×C₂²⋊D₄₃	1	1	yes	characteristic
1186	C₂²×C₄	C₂×C₂²⋊D₄₃	1	1	yes	characteristic
1187	C₂²×C₄	C₂×C₂²⋊D₄₃	1	1	yes	characteristic
1188	C₂²×C₄	C₂×C₂²⋊D₄₃	1	1	yes	characteristic
1189	C₂²×C₄	C₂×C₂²⋊D₄₃	1	1	yes	characteristic
1190	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
1191	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
1192	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
1193	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
1194	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
1195	SD₁₆	—	86	4	no	—
1196	SD₁₆	—	172	2	no	—
1197	SD₁₆	—	172	2	no	—
1198	D₈	—	86	4	no	—
1199	D₈	—	172	2	no	—
1200	D₈	—	172	2	no	—
1201	M₁₆	—	86	2	no	—
1202	M₁₆	—	86	2	no	—
1203	M₁₆	—	86	2	no	—
1204	M₁₆	—	86	2	no	—
1205	M₁₆	—	172	2	no	—
1206	M₁₆	—	172	2	no	—
1207	C₂×C₈	—	43	2	no	—
1208	C₂×C₈	—	43	2	no	—
1209	C₂×C₈	—	43	2	no	—
1210	C₂×C₈	—	43	2	no	—
1211	C₂×C₈	—	172	2	no	—
1212	C₂×C₈	—	172	2	no	—
1213	C₄⋊C₄	—	2	1	no	—
1214	C₄⋊C₄	—	2	1	no	—
1215	C₄⋊C₄	—	2	1	no	—
1216	C₄⋊C₄	—	2	1	no	—
1217	C₄⋊C₄	—	2	1	no	—
1218	C₄⋊C₄	—	2	1	no	—
1219	C₄⋊C₄	—	2	1	no	—
1220	C₄⋊C₄	—	2	1	no	—
1221	C₄⋊C₄	—	43	2	no	—
1222	C₄⋊C₄	—	43	2	no	—
1223	C₄⋊C₄	—	43	2	no	—
1224	C₄⋊C₄	—	86	1	no	—
1225	C₄⋊C₄	—	86	1	no	—
1226	C₄⋊C₄	—	86	2	no	—
1227	C₄⋊C₄	—	86	2	no	—
1228	C₄⋊C₄	—	86	1	no	—
1229	C₄⋊C₄	—	86	2	no	—
1230	C₄⋊C₄	—	86	2	no	—
1231	C₄⋊C₄	—	86	2	no	—
1232	C₄⋊C₄	—	86	2	no	—
1233	C₄⋊C₄	C₂×C₂²⋊D₄₃	1	1	yes	characteristic
1234	C₄⋊C₄	C₂×C₂²⋊D₄₃	1	1	yes	characteristic
1235	C₄⋊C₄	C₂×C₂²⋊D₄₃	1	1	yes	characteristic
1236	C₄⋊C₄	C₂×C₂²⋊D₄₃	1	1	yes	characteristic
1237	C₄⋊C₄	C₂³×D₄₃	1	1	yes	characteristic
1238	C₄⋊C₄	C₂³×D₄₃	1	1	yes	characteristic
1239	C₂²⋊C₄	—	2	1	no	—
1240	C₂²⋊C₄	—	2	1	no	—
1241	C₂²⋊C₄	—	2	1	no	—
1242	C₂²⋊C₄	—	2	1	no	—
1243	C₂²⋊C₄	—	2	1	no	—
1244	C₂²⋊C₄	—	2	1	no	—
1245	C₂²⋊C₄	—	2	1	no	—
1246	C₂²⋊C₄	—	2	1	no	—
1247	C₂²⋊C₄	—	2	1	no	—
1248	C₂²⋊C₄	—	2	1	no	—
1249	C₂²⋊C₄	—	2	1	no	—
1250	C₂²⋊C₄	—	2	1	no	—
1251	C₂²⋊C₄	—	2	1	no	—
1252	C₂²⋊C₄	—	2	1	no	—
1253	C₂²⋊C₄	—	2	1	no	—
1254	C₂²⋊C₄	—	86	2	no	—
1255	C₂²⋊C₄	—	86	2	no	—
1256	C₂²⋊C₄	—	86	2	no	—
1257	C₂²⋊C₄	—	86	2	no	—
1258	C₂²⋊C₄	—	86	2	no	—
1259	C₂²⋊C₄	—	86	2	no	—
1260	C₂²⋊C₄	—	86	2	no	—
1261	C₂²⋊C₄	—	86	2	no	—
1262	C₂²⋊C₄	C₂×C₂²⋊D₄₃	1	1	yes	characteristic
1263	C₂²⋊C₄	C₂×C₂²⋊D₄₃	1	1	yes	characteristic
1264	C₂²⋊C₄	C₂×C₂²⋊D₄₃	1	1	yes	characteristic
1265	C₂²⋊C₄	C₂×C₂²⋊D₄₃	1	1	yes	characteristic
1266	C₂²⋊C₄	C₂×C₂²⋊D₄₃	1	1	yes	characteristic
1267	C₂²⋊C₄	C₂×C₂²⋊D₄₃	1	1	yes	characteristic
1268	C₂²⋊C₄	C₂×C₂²⋊D₄₃	1	1	yes	characteristic
1269	C₂²⋊C₄	C₂×C₂²⋊D₄₃	1	1	yes	characteristic
1270	C₄²	—	2	1	no	—
1271	C₄²	—	2	1	no	—
1272	C₄²	—	2	1	no	—
1273	C₄²	—	86	2	no	—
1274	C₄²	—	86	2	no	—
1275	C₄²	C₂×C₂²⋊D₄₃	1	1	yes	characteristic
1276	C₄²	C₂×C₂²⋊D₄₃	1	1	yes	characteristic
1277	C₄²	C₂³×D₄₃	1	1	yes	characteristic
1278	C₄²	C₂³×D₄₃	1	1	yes	characteristic
1279	C₂³	—	2	2	no	—
1280	C₂³	—	2	1	no	—
1281	C₂³	—	2	2	no	—
1282	C₂³	—	2	2	no	—
1283	C₂³	—	2	1	no	—
1284	C₂³	—	2	1	no	—
1285	C₂³	—	4	1	no	—
1286	C₂³	—	4	1	no	—
1287	C₂³	—	4	1	no	—
1288	C₂³	—	4	2	no	—
1289	C₂³	—	4	2	no	—
1290	C₂³	—	4	2	no	—
1291	C₂³	—	4	2	no	—
1292	C₂³	—	8	1	no	—
1293	C₂³	—	8	1	no	—
1294	C₂³	—	86	2	no	—
1295	C₂³	—	172	2	no	—
1296	C₂³	—	172	2	no	—
1297	C₂³	—	172	2	no	—
1298	C₂³	C₂²×C₂²⋊D₄₃	1	1	yes	characteristic
1299	C₂³	C₂²×C₂²⋊D₄₃	1	1	yes	characteristic
1300	C₂³	C₂²×C₂²⋊D₄₃	1	1	yes	characteristic
1301	C₂³	C₂²×C₂²⋊D₄₃	1	1	yes	characteristic
1302	C₂³	C₂²×C₂²⋊D₄₃	1	1	yes	characteristic
1303	Q₈	—	2	1	no	—
1304	Q₈	—	2	1	no	—
1305	Q₈	—	2	1	no	—
1306	Q₈	—	2	1	no	—
1307	Q₈	—	2	1	no	—
1308	Q₈	—	4	2	no	—
1309	Q₈	—	4	2	no	—
1310	Q₈	C₂×#10621900	1	2	yes	—
1311	D₄	—	2	2	no	—
1312	D₄	—	2	2	no	—
1313	D₄	—	2	4	no	—
1314	D₄	—	2	1	no	—
1315	D₄	—	2	1	no	—
1316	D₄	—	2	1	no	—
1317	D₄	—	2	1	no	—
1318	D₄	—	2	1	no	—
1319	D₄	—	4	1	no	—
1320	D₄	—	4	1	no	—
1321	D₄	—	4	2	no	—
1322	D₄	—	4	2	no	—
1323	D₄	—	4	2	no	—
1324	D₄	—	4	2	no	—
1325	D₄	—	4	2	no	—
1326	D₄	—	4	2	no	—
1327	D₄	—	4	2	no	—
1328	D₄	—	4	2	no	—
1329	D₄	—	4	2	no	—
1330	D₄	—	4	2	no	—
1331	D₄	—	4	2	no	—
1332	D₄	—	8	1	no	—
1333	D₄	—	8	1	no	—
1334	D₄	—	8	1	no	—
1335	D₄	—	86	2	no	—
1336	D₄	—	86	2	no	—
1337	D₄	—	344	2	no	—
1338	D₄	—	344	2	no	—
1339	D₄	—	172	4	no	—
1340	D₄	—	172	4	no	—
1341	D₄	—	172	2	no	—
1342	D₄	C₂×#10621900	1	2	yes	—
1343	C₂×C₄	—	2	1	no	—
1344	C₂×C₄	—	2	2	no	—
1345	C₂×C₄	—	2	2	no	—
1346	C₂×C₄	—	2	1	no	—
1347	C₂×C₄	—	2	1	no	—
1348	C₂×C₄	—	2	1	no	—
1349	C₂×C₄	—	2	1	no	—
1350	C₂×C₄	—	2	1	no	—
1351	C₂×C₄	—	2	1	no	—
1352	C₂×C₄	—	2	1	no	—
1353	C₂×C₄	—	2	1	no	—
1354	C₂×C₄	—	2	2	no	—
1355	C₂×C₄	—	2	2	no	—
1356	C₂×C₄	—	2	2	no	—
1357	C₂×C₄	—	2	2	no	—
1358	C₂×C₄	—	2	4	no	—
1359	C₂×C₄	—	2	1	no	—
1360	C₂×C₄	—	2	1	no	—
1361	C₂×C₄	—	2	1	no	—
1362	C₂×C₄	—	2	1	no	—
1363	C₂×C₄	—	4	1	no	—
1364	C₂×C₄	—	4	1	no	—
1365	C₂×C₄	—	4	2	no	—
1366	C₂×C₄	—	4	2	no	—
1367	C₂×C₄	—	4	2	no	—
1368	C₂×C₄	—	4	2	no	—
1369	C₂×C₄	—	4	2	no	—
1370	C₂×C₄	—	4	2	no	—
1371	C₂×C₄	—	4	2	no	—
1372	C₂×C₄	—	4	2	no	—
1373	C₂×C₄	—	4	2	no	—
1374	C₂×C₄	—	8	1	no	—
1375	C₂×C₄	—	86	2	no	—
1376	C₂×C₄	—	86	2	no	—
1377	C₂×C₄	—	86	2	no	—
1378	C₂×C₄	—	344	2	no	—
1379	C₂×C₄	—	344	2	no	—
1380	C₂×C₄	—	344	2	no	—
1381	C₂×C₄	—	344	2	no	—
1382	C₂×C₄	—	172	2	no	—
1383	C₂×C₄	—	172	2	no	—
1384	C₂×C₄	—	172	2	no	—
1385	C₂×C₄	C₂²×C₂²⋊D₄₃	1	1	yes	characteristic
1386	C₂×C₄	C₂²×C₂²⋊D₄₃	1	1	yes	characteristic
1387	C₂×C₄	C₂²×C₂²⋊D₄₃	1	1	yes	characteristic
1388	C₂×C₄	C₂²×C₂²⋊D₄₃	1	1	yes	characteristic
1389	C₂×C₄	C₂²×C₂²⋊D₄₃	1	1	yes	characteristic
1390	C₂×C₄	C₂²×C₂²⋊D₄₃	1	1	yes	characteristic
1391	C₂×C₄	C₂²×C₂²⋊D₄₃	1	1	yes	characteristic
1392	C₂×C₄	C₂²×C₂²⋊D₄₃	1	1	yes	characteristic
1393	C₂×C₄	C₂²×C₂²⋊D₄₃	1	1	yes	characteristic
1394	C₂×C₄	C₂×#10621900	1	2	yes	—
1395	C₂×C₄	#13063370	1	2	yes	—
1396	C₂×C₄	C₂⁴×D₄₃	1	1	yes	characteristic
1397	C₈	—	86	2	no	—
1398	C₈	—	86	2	no	—
1399	C₈	—	86	2	no	—
1400	C₈	—	86	2	no	—
1401	C₂²	—	2	1	no	—
1402	C₂²	—	2	1	no	—
1403	C₂²	—	2	1	no	—
1404	C₂²	—	2	1	no	—
1405	C₂²	—	2	1	no	—
1406	C₂²	—	2	1	no	—
1407	C₂²	—	2	1	no	—
1408	C₂²	—	2	2	no	—
1409	C₂²	—	2	1	no	—
1410	C₂²	—	2	1	no	—
1411	C₂²	—	2	1	no	—
1412	C₂²	—	2	1	no	—
1413	C₂²	—	2	1	no	—
1414	C₂²	—	2	1	no	—
1415	C₂²	—	4	4	no	—
1416	C₂²	—	4	1	no	—
1417	C₂²	—	4	1	no	—
1418	C₂²	—	4	1	no	—
1419	C₂²	—	4	1	no	—
1420	C₂²	—	4	1	no	—
1421	C₂²	—	4	1	no	—
1422	C₂²	—	4	1	no	—
1423	C₂²	—	4	1	no	—
1424	C₂²	—	8	2	no	—
1425	C₂²	—	8	4	no	—
1426	C₂²	—	8	4	no	—
1427	C₂²	—	344	4	no	—
1428	C₂²	—	172	2	no	—
1429	C₂²	—	172	2	no	—
1430	C₂²	—	172	2	no	—
1431	C₂²	#14583543	1	2	yes	—
1432	C₂²	#14583697	1	2	yes	—
1433	C₂²	C₂³×C₂²⋊D₄₃	1	1	yes	characteristic
1434	C₄	—	2	1	no	—
1435	C₄	—	2	1	no	—
1436	C₄	—	2	1	no	—
1437	C₄	—	2	1	no	—
1438	C₄	—	2	2	no	—
1439	C₄	—	2	1	no	—
1440	C₄	—	2	1	no	—
1441	C₄	—	2	1	no	—
1442	C₄	—	2	1	no	—
1443	C₄	—	4	1	no	—
1444	C₄	—	4	1	no	—
1445	C₄	—	4	1	no	—
1446	C₄	—	4	1	no	—
1447	C₄	—	172	2	no	—
1448	C₄	—	172	2	no	—
1449	C₄	—	172	2	no	—
1450	C₄	#14583543	1	2	yes	—
1451	C₄	C₂²×#10621900	1	1	yes	characteristic
1452	C₄	C₂×#13063370	1	1	yes	characteristic
1453	C₂	—	2	2	no	—
1454	C₂	—	2	2	no	—
1455	C₂	—	4	1	no	—
1456	C₂	—	4	1	no	—
1457	C₂	—	4	1	no	—
1458	C₂	—	4	2	no	—
1459	C₂	—	8	1	no	—
1460	C₂	—	8	1	no	—
1461	C₂	—	344	2	no	—
1462	C₂	C₂×#14583543	1	1	yes	characteristic
1463	C₂	C₂×#14583697	1	1	yes	characteristic
1464	C₂	#19149374	1	1	yes	characteristic

	subgroup	G/H
center	C₂²	C₂³×C₂²⋊D₄₃
commutator, cosocle	C₂×C₄×C₄₃	C₂⁵
Frattini	C₂×C₄	C₂⁴×D₄₃
Fitting	D₄×#41×C₄₃	C₂
socle	C₂²×C₄₃	C₂³×D₄
hypercenter	D₄×#41	D₄₃
hypocenter	C₄₃	#61164
LCS	G ▷ C₂×C₄×C₄₃ ▷ C₂×C₄₃ ▷ C₄₃
UCS	C₁ ◁ C₂² ◁ C₂×C₄×D₄ ◁ D₄×#41

Complements

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

N	H ≅ G/N	type
1. C₂×#14583595	C₂	semidirect
2. #19146848	C₂	semidirect
3. #19146796	C₂	semidirect
4. #19146766	C₂	semidirect
5. #19146736	C₂	semidirect
6. #19146601	C₂	semidirect
7. #19146571	C₂	semidirect
8. #19146497	C₂	semidirect
9. #19146445	C₂	semidirect
10. #19144995	C₂	semidirect
11. #19144524	C₂	semidirect
12. #19144515	C₂	semidirect
13. #19144417	C₂	semidirect
14. #19144216	C₂	semidirect
15. #19144216	C₂	semidirect
16. #19144055	C₂	semidirect
17. #19143847	C₂	semidirect
18. #19143847	C₂	semidirect
19. C₄×#13063350	C₂	semidirect
20. D₄×#10621877	C₂	semidirect
21. #19143114	C₂	semidirect
22. C₂×#14582900	C₂	semidirect
23. D₄×#41×C₄₃	C₂	semidirect
25. C₂×#13063350	C₂²	semidirect
26. C₂×#13063350	C₂²	semidirect
27. C₂²×#10621877	C₂²	semidirect
28. C₂²×#10621877	C₂²	semidirect
34. #14583595	C₂²	semidirect
35. #14583595	C₂²	semidirect
36. #14583595	C₂²	semidirect
38. C₂×#13063317	C₂²	semidirect
40. C₂×#13063299	C₂²	semidirect
41. C₂×#13063299	C₂²	semidirect
43. C₂×C₄×D₁₇₂	C₂²	semidirect
45. C₂×#13063284	C₂²	semidirect
46. C₂²×C₄⋊Dic₄₃	C₂²	semidirect
47. #14583267	C₂²	semidirect
48. #14583263	C₂²	semidirect
49. #14583253	C₂²	semidirect
50. #14583253	C₂²	semidirect
51. #14583237	C₂²	semidirect
52. #14583237	C₂²	semidirect
53. #14583232	C₂²	semidirect
54. #14583227	C₂²	semidirect
55. #14583220	C₂²	semidirect
56. #14583220	C₂²	semidirect
57. #14583215	C₂²	semidirect
58. #14583210	C₂²	semidirect
59. #14583206	C₂²	semidirect
60. #14583206	C₂²	semidirect
61. #14583199	C₂²	semidirect
62. #14583199	C₂²	semidirect
63. #14583150	C₂²	semidirect
64. #14583150	C₂²	semidirect
65. #14583147	C₂²	semidirect
66. #14583147	C₂²	semidirect
67. #14583133	C₂²	semidirect
68. #14583133	C₂²	semidirect
69. #14583130	C₂²	semidirect
70. #14583130	C₂²	semidirect
71. #14583111	C₂²	semidirect
72. #14583111	C₂²	semidirect
73. #14583101	C₂²	semidirect
74. #14583091	C₂²	semidirect
75. #14583044	C₂²	semidirect
76. #14583044	C₂²	semidirect
77. #14583044	C₂²	semidirect
78. #14583044	C₂²	semidirect
79. #14583038	C₂²	semidirect
80. #14583038	C₂²	semidirect
81. #14583033	C₂²	semidirect
82. #14583033	C₂²	semidirect
83. #14583009	C₂²	semidirect
84. #14582997	C₂²	semidirect
85. C₄×#10621884	C₂²	semidirect
86. C₄×#10621882	C₂²	semidirect
87. #14582977	C₂²	semidirect
88. #14582971	C₂²	semidirect
89. #14582971	C₂²	semidirect
90. D₄×C₄₃⋊C₈	C₂²	semidirect
91. #14582942	C₂²	semidirect
92. #14582942	C₂²	semidirect
93. #14582942	C₂²	semidirect
94. #14582923	C₂²	semidirect
95. #14582908	C₂²	semidirect
96. #14582904	C₂²	semidirect
97. #14582903	C₂²	semidirect
101. #14582900	C₂²	semidirect
102. #14582900	C₂²	semidirect
103. #14582900	C₂²	semidirect
104. #14582900	C₂²	semidirect
105. #14582900	C₂²	semidirect
106. #14582900	C₂²	semidirect
107. #14582900	C₂²	semidirect
108. #14582900	C₂²	semidirect
109. #14582895	C₂²	semidirect
110. #14582895	C₂²	semidirect
111. C₂×#13063249	C₂²	semidirect
112. C₂×#13063246	C₂²	semidirect
113. #14582863	C₂²	semidirect
114. #14582863	C₂²	semidirect
115. C₄×#10621877	C₂²	semidirect
118. C₄₃×#550	C₂²	semidirect
119. D₄×Q₈×C₄₃	C₂²	semidirect
120. C₄₃×#548	C₂²	semidirect
121. C₄₃×#548	C₂²	semidirect
123. C₄₃×#547	C₂²	semidirect
126. C₄₃×#546	C₂²	semidirect
127. C₄₃×#546	C₂²	semidirect
129. D₄²×C₄₃	C₂²	semidirect
722. D₄×#41	D₄₃	semidirect
771. #550	C₂×D₄₃	semidirect
772. D₄×Q₈	C₂×D₄₃	semidirect
773. #548	C₂×D₄₃	semidirect
774. #548	C₂×D₄₃	semidirect
776. #547	C₂×D₄₃	semidirect
779. #546	C₂×D₄₃	semidirect
780. #546	C₂×D₄₃	semidirect
782. D₄²	C₂×D₄₃	semidirect
871. C₄₃	#61164	semidirect

Maximal subgroups

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

subgroup	index
C₂×#14583595	2
#19146848	2
#19146796	2
#19146766	2
#19146736	2
#19146601	2
#19146571	2
#19146497	2
#19146445	2
#19144995	2
#19144524	2
#19144515	2
#19144417	2
#19144216	2
#19144055	2
#19143847	2
C₄×#13063350	2
D₄×#10621877	2
#19143114	2
C₂×#14582900	2
D₄×#41×C₄₃	2
#61164	43