Subgroups — #25973629

Order 11008.

2114 conjugacy classes of subgroups.

The subgroup lattice has 1388 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×#14583558	C₂	1	1	yes	maximal, characteristic, complemented
2	#19146857	C₂	1	2	yes	maximal, complemented
3	#19146842	C₂	1	2	yes	maximal, complemented
4	#19146775	C₂	1	2	yes	maximal, complemented
5	#19146700	C₂	1	2	yes	maximal, complemented
6	#19146655	C₂	1	2	yes	maximal, complemented
7	#19146580	C₂	1	2	yes	maximal, complemented
8	#19146491	C₂	1	2	yes	maximal, complemented
9	#19146476	C₂	1	2	yes	maximal, complemented
10	#19144984	C₂	1	1	yes	maximal, characteristic, complemented
11	#19144543	C₂	1	1	yes	maximal, characteristic, complemented
12	#19144535	C₂	1	1	yes	maximal, characteristic, complemented
13	#19144396	C₂	1	1	yes	maximal, characteristic, complemented
14	#19144227	C₂	1	1	yes	maximal, characteristic, complemented
15	#19144216	C₂	1	1	yes	maximal, characteristic, complemented
16	#19144089	C₂	1	1	yes	maximal, characteristic, complemented
17	#19143835	C₂	1	1	yes	maximal, characteristic, complemented
18	#19143828	C₂	1	1	yes	maximal, characteristic, complemented
19	C₄×#13063355	C₂	1	1	yes	maximal, characteristic, complemented
20	D₄×#10621877	C₂	1	1	yes	maximal, characteristic, complemented
21	#19143112	C₂	1	1	yes	maximal, characteristic, complemented
22	C₂×#14582907	C₂	1	1	yes	maximal, characteristic, complemented
23	C₄₃×#3475	C₂	1	1	yes	maximal, characteristic, complemented
24	C₂²×#10621898	C₂²	1	1	yes	characteristic
25	C₂³×Dic₈₆	C₂²	1	1	yes	characteristic
26	C₂×#13063355	C₂²	1	1	yes	characteristic
27	C₂×#13063355	C₂²	1	1	yes	characteristic
28	C₂×#13063350	C₂²	1	1	yes	characteristic
29	C₂²×#10621877	C₂²	1	1	yes	characteristic
30	C₂²×#10621877	C₂²	1	1	yes	characteristic
31	#14583558	—	2	1	no	—
32	#14583558	—	2	1	no	—
33	#14583558	—	2	1	no	—
34	#14583558	—	2	1	no	—
35	#14583558	C₂²	1	2	yes	—
36	#14583558	C₂²	1	2	yes	—
37	#14583558	C₂²	1	2	yes	—
38	#14583558	C₂²	1	2	yes	—
39	C₂×#13063313	C₂²	1	1	yes	characteristic
40	C₂×#13063311	—	2	1	no	—
41	C₂×#13063304	C₂²	1	1	yes	characteristic
42	C₂×#13063303	—	2	1	no	—
43	C₂×#13063299	C₂²	1	1	yes	characteristic
44	C₂×#13063297	—	2	1	no	—
45	C₂×C₄×Dic₈₆	C₂²	1	1	yes	characteristic
46	C₂×(C₂²⋊D₄₃)⋊C₄	—	2	1	no	—
47	#14583261	C₂²	1	2	yes	complemented
48	#14583261	C₂²	1	2	yes	complemented
49	#14583256	C₂²	1	2	yes	complemented
50	#14583256	C₂²	1	2	yes	complemented
51	#14583240	C₂²	1	2	yes	complemented
52	#14583240	C₂²	1	2	yes	complemented
53	#14583234	C₂²	1	2	yes	complemented
54	#14583229	C₂²	1	2	yes	complemented
55	#14583223	C₂²	1	2	yes	complemented
56	#14583223	C₂²	1	2	yes	complemented
57	#14583217	C₂²	1	2	yes	complemented
58	#14583212	C₂²	1	2	yes	complemented
59	#14583203	C₂²	1	2	yes	complemented
60	#14583203	C₂²	1	2	yes	complemented
61	#14583191	C₂²	1	2	yes	complemented
62	#14583181	C₂²	1	2	yes	complemented
63	#14583155	C₂²	1	2	yes	complemented
64	#14583150	C₂²	1	2	yes	complemented
65	#14583147	C₂²	1	2	yes	complemented
66	#14583143	C₂²	1	2	yes	complemented
67	#14583138	C₂²	1	2	yes	complemented
68	#14583133	C₂²	1	2	yes	complemented
69	#14583130	C₂²	1	2	yes	complemented
70	#14583126	C₂²	1	2	yes	complemented
71	#14583121	C₂²	1	2	yes	complemented
72	#14583121	C₂²	1	2	yes	complemented
73	#14583114	C₂²	1	2	yes	complemented
74	#14583114	C₂²	1	2	yes	complemented
75	#14583059	C₂²	1	2	yes	complemented
76	#14583059	C₂²	1	2	yes	complemented
77	#14583054	C₂²	1	2	yes	complemented
78	#14583054	C₂²	1	2	yes	complemented
79	#14583042	C₂²	1	2	yes	complemented
80	#14583042	C₂²	1	2	yes	complemented
81	#14583037	C₂²	1	2	yes	complemented
82	#14583037	C₂²	1	2	yes	complemented
83	#14583004	C₂²	1	2	yes	complemented
84	#14582999	C₂²	1	2	yes	complemented
85	C₄×#10621885	C₂²	1	2	yes	complemented
86	C₄×#10621883	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
92	#14582942	C₂²	1	1	yes	characteristic
93	#14582942	C₂²	1	1	yes	characteristic
94	#14582923	C₂²	1	1	yes	characteristic
95	#14582907	C₂²	1	1	yes	characteristic
96	#14582907	C₂²	1	1	yes	characteristic
97	#14582907	C₂²	1	1	yes	characteristic
98	#14582907	C₂²	1	1	yes	characteristic
99	#14582907	C₂²	1	1	yes	characteristic
100	#14582907	C₂²	1	1	yes	characteristic
101	#14582907	C₂²	1	2	yes	complemented
102	#14582907	C₂²	1	2	yes	complemented
103	#14582903	C₂²	1	1	yes	characteristic
104	#14582903	C₂²	1	1	yes	characteristic
105	#14582903	C₂²	1	1	yes	characteristic
106	#14582900	C₂²	1	1	yes	characteristic
107	#14582898	C₂²	1	2	yes	complemented
108	#14582898	C₂²	1	2	yes	complemented
109	#14582893	C₂²	1	2	yes	complemented
110	#14582893	C₂²	1	2	yes	complemented
111	C₂×#13063248	C₂²	1	2	yes	complemented
112	C₂×#13063248	C₂²	1	2	yes	complemented
113	#14582863	C₂²	1	1	yes	characteristic
114	#14582863	C₂²	1	1	yes	characteristic
115	C₄×#10621877	C₂²	1	1	yes	characteristic
116	C₄₃×#556	C₂²	1	1	yes	characteristic, complemented
117	C₄₃×#555	C₂²	1	1	yes	characteristic, complemented
118	C₄₃×#554	C₂²	1	1	yes	characteristic, complemented
119	C₄₃×#553	C₂²	1	1	yes	characteristic, complemented
120	C₄₃×#553	C₂²	1	1	yes	characteristic, complemented
121	C₄₃×#552	—	2	1	no	—
122	C₄₃×#552	C₂²	1	1	yes	characteristic, complemented
123	C₄₃×#552	C₂²	1	1	yes	characteristic, complemented
124	C₄₃×#551	—	2	1	no	—
125	C₄₃×#551	—	2	1	no	—
126	C₄₃×#547	C₂²	1	1	yes	characteristic, complemented
127	C₄₃×#546	—	2	1	no	—
128	C₄₃×#533	C₂²	1	1	yes	characteristic
129	C₄₃×#529	—	2	1	no	—
130	C₄₃×#529	—	2	1	no	—
131	C₄₃×#529	—	2	1	no	—
132	C₄₃×#525	C₂²	1	1	yes	characteristic
133	C₄₃×#525	C₂²	1	1	yes	characteristic
134	C₄×#41×C₄₃	—	2	1	no	—
135	C₄×#41×C₄₃	C₂²	1	1	yes	characteristic
136	C₂×C₄×D₄×C₄₃	C₂²	1	1	yes	characteristic
137	C₂×#117×C₄₃	C₂²	1	1	yes	characteristic
138	C₂×#117×C₄₃	C₂²	1	1	yes	characteristic
139	C₂×#10621898	—	2	1	no	—
140	C₂×#10621898	—	2	1	no	—
141	C₂×#10621898	—	2	4	no	—
142	C₂×#10621898	—	4	2	no	—
143	C₂×#10621898	C₂³	1	2	yes	—
144	C₂×#10621898	C₂³	1	2	yes	—
145	C₂²×Dic₈₆	—	2	4	no	—
146	C₂²×Dic₈₆	—	2	1	no	—
147	C₂²×Dic₈₆	—	2	1	no	—
148	C₂²×Dic₈₆	—	2	1	no	—
149	C₂²×Dic₈₆	—	4	2	no	—
150	C₂²×Dic₈₆	C₂³	1	1	yes	characteristic
151	C₂²×Dic₈₆	C₂³	1	2	yes	—
152	C₂²×Dic₈₆	C₂³	1	2	yes	—
153	C₂²×Dic₈₆	C₂³	1	1	yes	characteristic
154	C₂²×D₁₇₂	C₂³	1	1	yes	characteristic
155	C₂²×C₂²⋊D₄₃	—	2	1	no	—
156	C₂²×C₂²⋊D₄₃	—	2	1	no	—
157	C₂³×Dic₄₃	—	2	1	no	—
158	C₂²×C₄×D₄₃	—	2	1	no	—
159	#13063355	—	2	4	no	—
160	#13063355	—	4	2	no	—
161	#13063350	—	4	2	no	—
162	C₂×#10621885	C₂³	1	2	yes	—
163	C₂×#10621885	C₂³	1	2	yes	—
164	C₂×#10621883	C₂³	1	2	yes	—
165	C₂×#10621883	C₂³	1	2	yes	—
166	C₂×#10621884	C₂³	1	2	yes	—
167	C₂×#10621882	C₂³	1	2	yes	—
168	C₂×#10621877	—	4	2	no	—
169	C₂×#10621877	—	4	2	no	—
170	C₂×#10621877	C₂³	1	1	yes	characteristic
171	C₂×#10621877	C₂³	1	1	yes	characteristic
172	C₂×#10621877	C₂³	1	1	yes	characteristic
173	C₂×#10621877	C₂³	1	1	yes	characteristic
174	C₂×#10621877	C₂³	1	2	yes	—
175	C₂×#10621877	C₂³	1	2	yes	—
176	C₂²×C₄₃⋊C₈	C₂³	1	2	yes	—
177	C₂²×C₄₃⋊C₈	C₂³	1	2	yes	—
178	#13063313	—	2	1	no	—
179	#13063313	—	2	1	no	—
180	#13063313	C₂³	1	2	yes	—
181	#13063313	C₂³	1	2	yes	—
182	#13063311	—	2	2	no	—
183	#13063311	—	2	2	no	—
184	#13063311	—	2	2	no	—
185	#13063311	—	2	2	no	—
186	#13063304	—	2	1	no	—
187	#13063304	—	2	1	no	—
188	#13063304	C₂³	1	2	yes	—
189	#13063304	C₂³	1	2	yes	—
190	#13063303	—	2	2	no	—
191	#13063303	—	2	2	no	—
192	#13063303	—	2	2	no	—
193	#13063303	—	2	2	no	—
194	#13063299	—	2	1	no	—
195	#13063299	—	2	1	no	—
196	#13063299	C₂³	1	2	yes	—
197	#13063299	C₂³	1	2	yes	—
198	#13063297	—	2	2	no	—
199	#13063297	—	2	2	no	—
200	#13063297	—	2	2	no	—
201	#13063297	—	2	2	no	—
202	C₄×Dic₈₆	—	2	1	no	—
203	C₄×Dic₈₆	—	2	1	no	—
204	C₄×Dic₈₆	C₂³	1	2	yes	—
205	C₄×Dic₈₆	C₂³	1	2	yes	—
206	(C₂²⋊D₄₃)⋊C₄	—	2	2	no	—
207	(C₂²⋊D₄₃)⋊C₄	—	2	2	no	—
208	(C₂²⋊D₄₃)⋊C₄	—	2	2	no	—
209	(C₂²⋊D₄₃)⋊C₄	—	2	2	no	—
210	C₂×C₄⋊Dic₄₃	C₂³	1	1	yes	characteristic
211	C₂×Dic₄₃⋊C₄	—	2	1	no	—
212	C₂×Dic₄₃⋊C₄	—	2	1	no	—
213	C₂×C₂²⋊Dic₄₃	—	2	1	no	—
214	C₂×(C₂×D₄₃)⋊C₄	—	2	1	no	—
215	C₂×(C₂×D₄₃)⋊C₄	—	2	1	no	—
216	C₂×(C₂×D₄₃)⋊C₄	—	2	1	no	—
217	C₂×C₄×Dic₄₃	—	2	1	no	—
218	#13063258	C₂³	1	2	yes	—
219	#13063258	C₂³	1	2	yes	—
220	#13063258	C₂³	1	2	yes	—
221	#13063256	C₂³	1	2	yes	—
222	#13063256	C₂³	1	2	yes	—
223	#13063256	C₂³	1	2	yes	—
224	C₄⋊(C₄₃⋊C₈)	C₂³	1	2	yes	—
225	C₄⋊(C₄₃⋊C₈)	C₂³	1	2	yes	—
226	#13063249	C₂³	1	2	yes	—
227	#13063248	C₂³	1	2	yes	—
228	#13063248	C₂³	1	2	yes	—
229	#13063248	C₂³	1	2	yes	—
230	#13063248	C₂³	1	2	yes	—
231	#13063248	C₂³	1	2	yes	—
232	#13063248	C₂³	1	2	yes	—
233	#13063248	C₂³	1	2	yes	—
234	#13063248	C₂³	1	2	yes	—
235	#13063248	C₂³	1	2	yes	—
236	#13063248	C₂³	1	2	yes	—
237	#13063248	C₂³	1	2	yes	—
238	#13063248	C₂³	1	2	yes	—
239	#13063246	C₂³	1	2	yes	—
240	#13063245	C₂³	1	2	yes	—
241	#13063245	C₂³	1	2	yes	—
242	#13063245	C₂³	1	2	yes	—
243	#13063245	C₂³	1	2	yes	—
244	#13063245	C₂³	1	2	yes	—
245	#13063245	C₂³	1	2	yes	—
246	C₂²⋊(C₄₃⋊C₈)	C₂³	1	2	yes	—
247	C₂²⋊(C₄₃⋊C₈)	C₂³	1	2	yes	—
248	C₂²⋊(C₄₃⋊C₈)	C₂³	1	2	yes	—
249	C₂²⋊(C₄₃⋊C₈)	C₂³	1	2	yes	—
250	#13063236	C₂³	1	2	yes	—
251	C₄×C₄₃⋊C₈	C₂³	1	2	yes	—
252	C₂×#41×C₄₃	—	2	1	no	—
253	C₂×#41×C₄₃	C₂³	1	1	yes	characteristic
254	C₂²×D₄×C₄₃	D₄	1	1	yes	characteristic
255	C₂³×C₄×C₄₃	C₂³	1	1	yes	characteristic
256	C₂³×C₄×C₄₃	C₂³	1	1	yes	characteristic
257	C₄⋊Q₈×C₄₃	C₂³	1	1	yes	characteristic
258	C₄⋊Q₈×C₄₃	C₂³	1	1	yes	characteristic
259	#126×C₄₃	—	2	1	no	—
260	#126×C₄₃	—	2	1	no	—
261	#126×C₄₃	—	2	1	no	—
262	#126×C₄₃	—	2	1	no	—
263	#126×C₄₃	—	2	1	no	—
264	#126×C₄₃	—	2	1	no	—
265	#125×C₄₃	—	2	1	no	—
266	#125×C₄₃	—	2	1	no	—
267	#125×C₄₃	—	2	1	no	—
268	#125×C₄₃	C₂³	1	1	yes	characteristic
269	#125×C₄₃	C₂³	1	1	yes	characteristic
270	#124×C₄₃	—	2	1	no	—
271	#124×C₄₃	—	2	1	no	—
272	#124×C₄₃	—	2	1	no	—
273	#123×C₄₃	—	2	1	no	—
274	#123×C₄₃	—	2	1	no	—
275	#123×C₄₃	—	2	1	no	—
276	#123×C₄₃	—	2	1	no	—
277	#123×C₄₃	—	2	1	no	—
278	#123×C₄₃	—	2	1	no	—
279	#123×C₄₃	—	2	1	no	—
280	#123×C₄₃	—	2	1	no	—
281	C₂²⋊Q₈×C₄₃	—	2	1	no	—
282	C₂²⋊Q₈×C₄₃	—	2	1	no	—
283	C₂²⋊Q₈×C₄₃	—	2	1	no	—
284	C₂²⋊Q₈×C₄₃	—	2	1	no	—
285	C₂²⋊Q₈×C₄₃	—	2	1	no	—
286	C₂²⋊Q₈×C₄₃	C₂³	1	1	yes	characteristic
287	C₂²⋊Q₈×C₄₃	C₂³	1	1	yes	characteristic
288	C₂²⋊Q₈×C₄₃	C₂³	1	1	yes	characteristic
289	C₂²⋊Q₈×C₄₃	C₂³	1	1	yes	characteristic
290	#121×C₄₃	—	2	1	no	—
291	#121×C₄₃	—	2	1	no	—
292	#121×C₄₃	—	2	1	no	—
293	#121×C₄₃	C₂³	1	1	yes	characteristic
294	#121×C₄₃	C₂³	1	1	yes	characteristic
295	#121×C₄₃	C₂³	1	1	yes	characteristic
296	#121×C₄₃	C₂³	1	1	yes	characteristic
297	#120×C₄₃	—	2	1	no	—
298	#120×C₄₃	—	2	1	no	—
299	C₄×Q₈×C₄₃	—	2	1	no	—
300	C₄×Q₈×C₄₃	—	2	1	no	—
301	C₄×Q₈×C₄₃	—	2	1	no	—
302	C₄×Q₈×C₄₃	C₂³	1	1	yes	characteristic
303	C₄×Q₈×C₄₃	C₂³	1	1	yes	characteristic
304	C₄×D₄×C₄₃	—	2	1	no	—
305	C₄×D₄×C₄₃	—	2	1	no	—
306	C₄×D₄×C₄₃	—	2	1	no	—
307	C₄×D₄×C₄₃	—	2	1	no	—
308	C₄×D₄×C₄₃	—	2	1	no	—
309	C₄×D₄×C₄₃	—	2	1	no	—
310	C₄×D₄×C₄₃	—	2	1	no	—
311	C₄×D₄×C₄₃	—	2	1	no	—
312	C₄×D₄×C₄₃	—	2	1	no	—
313	C₄×D₄×C₄₃	D₄	1	1	yes	characteristic
314	C₄×D₄×C₄₃	D₄	1	1	yes	characteristic
315	C₄×D₄×C₄₃	D₄	1	1	yes	characteristic
316	C₄×D₄×C₄₃	D₄	1	1	yes	characteristic
317	C₄×D₄×C₄₃	C₂³	1	1	yes	characteristic
318	C₄×D₄×C₄₃	C₂³	1	1	yes	characteristic
319	C₄×D₄×C₄₃	C₂³	1	1	yes	characteristic
320	C₄×D₄×C₄₃	C₂³	1	1	yes	characteristic
321	C₄×D₄×C₄₃	C₂³	1	1	yes	characteristic
322	C₄×D₄×C₄₃	C₂³	1	1	yes	characteristic
323	#117×C₄₃	—	2	1	no	—
324	#117×C₄₃	—	2	1	no	—
325	#117×C₄₃	—	2	1	no	—
326	#117×C₄₃	—	2	1	no	—
327	#117×C₄₃	—	2	1	no	—
328	#117×C₄₃	—	2	1	no	—
329	#117×C₄₃	—	2	1	no	—
330	#117×C₄₃	—	2	1	no	—
331	#117×C₄₃	C₂³	1	1	yes	characteristic
332	#117×C₄₃	C₂³	1	1	yes	characteristic
333	#117×C₄₃	C₂³	1	1	yes	characteristic
334	#117×C₄₃	C₂³	1	1	yes	characteristic
335	#117×C₄₃	C₂³	1	1	yes	characteristic
336	#117×C₄₃	C₂³	1	1	yes	characteristic
337	#117×C₄₃	C₂³	1	1	yes	characteristic
338	C₂×C₄⋊C₄×C₄₃	D₄	1	1	yes	characteristic
339	C₂×C₄⋊C₄×C₄₃	C₂³	1	1	yes	characteristic
340	C₂×C₄⋊C₄×C₄₃	C₂³	1	1	yes	characteristic
341	C₂×C₄⋊C₄×C₄₃	C₂³	1	1	yes	characteristic
342	C₂×C₄⋊C₄×C₄₃	C₂³	1	1	yes	characteristic
343	C₂×C₂²⋊C₄×C₄₃	—	2	1	no	—
344	C₂×C₂²⋊C₄×C₄₃	—	2	1	no	—
345	C₂×C₂²⋊C₄×C₄₃	D₄	1	1	yes	characteristic
346	C₂×C₂²⋊C₄×C₄₃	D₄	1	1	yes	characteristic
347	C₂×C₄²×C₄₃	—	2	1	no	—
348	C₂×C₄²×C₄₃	—	2	1	no	—
349	C₂×C₄²×C₄₃	—	2	1	no	—
350	C₂×C₄²×C₄₃	C₂³	1	1	yes	characteristic
351	C₂⁴×C₄₃	C₂×D₄	1	1	yes	characteristic
352	C₂⁴×C₄₃	C₂×D₄	1	1	yes	characteristic
353	C₂³×D₄₃	—	2	1	no	—
354	#41×C₄₃	—	2	2	no	—
355	#41×C₄₃	—	2	2	no	—
356	#41×C₄₃	—	4	4	no	—
357	C₂×Q₈×C₄₃	—	2	1	no	—
358	C₂×Q₈×C₄₃	—	2	1	no	—
359	C₂×Q₈×C₄₃	C₂⁴	1	1	yes	characteristic
360	C₂×D₄×C₄₃	—	2	1	no	—
361	C₂×D₄×C₄₃	—	2	1	no	—
362	C₂×D₄×C₄₃	—	2	1	no	—
363	C₂×D₄×C₄₃	—	2	1	no	—
364	C₂×D₄×C₄₃	—	2	1	no	—
365	C₂×D₄×C₄₃	—	4	2	no	—
366	C₂×D₄×C₄₃	C₂×D₄	1	1	yes	characteristic
367	C₂×D₄×C₄₃	C₂×D₄	1	1	yes	characteristic
368	C₂×D₄×C₄₃	C₂×D₄	1	1	yes	characteristic
369	C₂×D₄×C₄₃	C₂×D₄	1	1	yes	characteristic
370	C₂×D₄×C₄₃	C₂⁴	1	1	yes	characteristic
371	C₂²×C₄×C₄₃	—	2	2	no	—
372	C₂²×C₄×C₄₃	—	2	2	no	—
373	C₂²×C₄×C₄₃	—	2	2	no	—
374	C₂²×C₄×C₄₃	—	2	2	no	—
375	C₂²×C₄×C₄₃	—	2	1	no	—
376	C₂²×C₄×C₄₃	—	2	1	no	—
377	C₂²×C₄×C₄₃	—	2	1	no	—
378	C₂²×C₄×C₄₃	—	2	1	no	—
379	C₂²×C₄×C₄₃	—	2	1	no	—
380	C₂²×C₄×C₄₃	—	2	1	no	—
381	C₂²×C₄×C₄₃	—	2	1	no	—
382	C₂²×C₄×C₄₃	C₂×D₄	1	1	yes	characteristic
383	C₂²×C₄×C₄₃	C₂×D₄	1	1	yes	characteristic
384	C₂²×C₄×C₄₃	C₂×D₄	1	1	yes	characteristic
385	C₂²×C₄×C₄₃	C₂×D₄	1	1	yes	characteristic
386	C₂²×C₄×C₄₃	C₂×D₄	1	1	yes	characteristic
387	C₂²×C₄×C₄₃	C₂×D₄	1	1	yes	characteristic
388	C₂²×C₄×C₄₃	C₂×D₄	1	1	yes	characteristic
389	C₂²×C₄×C₄₃	C₂×D₄	1	1	yes	characteristic
390	C₂²×C₄×C₄₃	C₂⁴	1	1	yes	characteristic
391	C₂²×C₄×C₄₃	C₂⁴	1	1	yes	characteristic
392	C₂²×C₄×C₄₃	C₂⁴	1	1	yes	characteristic
393	C₂²×C₄×C₄₃	C₂⁴	1	1	yes	characteristic
394	C₂²×C₄×C₄₃	C₂⁴	1	1	yes	characteristic
395	C₂×C₂²⋊D₄₃	—	2	2	no	—
396	C₂×C₂²⋊D₄₃	—	2	2	no	—
397	C₂×C₂²⋊D₄₃	—	2	2	no	—
398	C₂×C₂²⋊D₄₃	—	2	2	no	—
399	C₂×C₂²⋊D₄₃	—	4	4	no	—
400	C₂×C₂²⋊D₄₃	—	4	4	no	—
401	C₂²×Dic₄₃	—	2	1	no	—
402	C₂²×Dic₄₃	—	2	1	no	—
403	C₂²×Dic₄₃	—	2	1	no	—
404	C₂²×Dic₄₃	—	2	2	no	—
405	C₂²×Dic₄₃	—	2	2	no	—
406	C₂²×Dic₄₃	—	4	4	no	—
407	#10621898	—	2	4	no	—
408	#10621898	—	2	4	no	—
409	#10621898	—	4	2	no	—
410	#10621898	—	4	2	no	—
411	#10621898	—	4	4	no	—
412	#10621898	—	4	4	no	—
413	C₂×D₁₇₂	—	2	1	no	—
414	C₂×D₁₇₂	—	2	2	no	—
415	C₂×D₁₇₂	—	2	2	no	—
416	C₂×D₁₇₂	C₂⁴	1	2	yes	—
417	C₂×C₄×D₄₃	—	2	2	no	—
418	C₂×C₄×D₄₃	—	2	2	no	—
419	C₂×C₄×D₄₃	—	4	4	no	—
420	C₂×Dic₈₆	—	2	1	no	—
421	C₂×Dic₈₆	—	2	2	no	—
422	C₂×Dic₈₆	—	2	2	no	—
423	C₂×Dic₈₆	—	2	2	no	—
424	C₂×Dic₈₆	—	2	4	no	—
425	C₂×Dic₈₆	—	2	4	no	—
426	C₂×Dic₈₆	—	2	2	no	—
427	C₂×Dic₈₆	—	2	2	no	—
428	C₂×Dic₈₆	—	2	1	no	—
429	C₂×Dic₈₆	—	4	2	no	—
430	C₂×Dic₈₆	—	4	2	no	—
431	C₂×Dic₈₆	—	4	4	no	—
432	C₂×Dic₈₆	—	4	4	no	—
433	C₂×Dic₈₆	—	4	4	no	—
434	C₂×Dic₈₆	#41	1	4	yes	complemented
435	C₂×Dic₈₆	C₂⁴	1	2	yes	—
436	C₂×Dic₈₆	C₂⁴	1	2	yes	—
437	C₄⋊C₄×C₄₃	—	2	1	no	—
438	C₄⋊C₄×C₄₃	—	2	1	no	—
439	C₄⋊C₄×C₄₃	—	2	1	no	—
440	C₄⋊C₄×C₄₃	—	2	1	no	—
441	C₄⋊C₄×C₄₃	—	2	1	no	—
442	C₄⋊C₄×C₄₃	—	2	1	no	—
443	C₄⋊C₄×C₄₃	—	2	1	no	—
444	C₄⋊C₄×C₄₃	—	2	1	no	—
445	C₄⋊C₄×C₄₃	—	2	1	no	—
446	C₄⋊C₄×C₄₃	—	2	1	no	—
447	C₄⋊C₄×C₄₃	—	2	1	no	—
448	C₄⋊C₄×C₄₃	—	2	1	no	—
449	C₄⋊C₄×C₄₃	—	2	1	no	—
450	C₄⋊C₄×C₄₃	—	2	1	no	—
451	C₄⋊C₄×C₄₃	—	2	1	no	—
452	C₄⋊C₄×C₄₃	—	2	1	no	—
453	C₄⋊C₄×C₄₃	C₂×D₄	1	1	yes	characteristic
454	C₄⋊C₄×C₄₃	C₂×D₄	1	1	yes	characteristic
455	C₄⋊C₄×C₄₃	C₂×D₄	1	1	yes	characteristic
456	C₄⋊C₄×C₄₃	C₂×D₄	1	1	yes	characteristic
457	C₄⋊C₄×C₄₃	C₂⁴	1	1	yes	characteristic
458	C₄⋊C₄×C₄₃	C₂⁴	1	1	yes	characteristic
459	C₄⋊C₄×C₄₃	C₂⁴	1	1	yes	characteristic
460	C₄⋊C₄×C₄₃	C₂⁴	1	1	yes	characteristic
461	C₄⋊C₄×C₄₃	C₂⁴	1	1	yes	characteristic
462	C₄⋊C₄×C₄₃	C₂⁴	1	1	yes	characteristic
463	C₂²⋊C₄×C₄₃	—	2	1	no	—
464	C₂²⋊C₄×C₄₃	—	2	1	no	—
465	C₂²⋊C₄×C₄₃	—	2	1	no	—
466	C₂²⋊C₄×C₄₃	—	2	1	no	—
467	C₂²⋊C₄×C₄₃	—	2	1	no	—
468	C₂²⋊C₄×C₄₃	—	2	1	no	—
469	C₂²⋊C₄×C₄₃	—	2	1	no	—
470	C₂²⋊C₄×C₄₃	—	2	1	no	—
471	C₂²⋊C₄×C₄₃	—	2	1	no	—
472	C₂²⋊C₄×C₄₃	—	2	1	no	—
473	C₂²⋊C₄×C₄₃	—	2	1	no	—
474	C₂²⋊C₄×C₄₃	—	2	1	no	—
475	C₂²⋊C₄×C₄₃	—	2	1	no	—
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	C₂×D₄	1	1	yes	characteristic
481	C₂²⋊C₄×C₄₃	C₂×D₄	1	1	yes	characteristic
482	C₂²⋊C₄×C₄₃	C₂×D₄	1	1	yes	characteristic
483	C₂²⋊C₄×C₄₃	C₂×D₄	1	1	yes	characteristic
484	C₂²⋊C₄×C₄₃	C₂×D₄	1	1	yes	characteristic
485	C₂²⋊C₄×C₄₃	C₂×D₄	1	1	yes	characteristic
486	C₂²⋊C₄×C₄₃	C₂×D₄	1	1	yes	characteristic
487	C₂²⋊C₄×C₄₃	C₂×D₄	1	1	yes	characteristic
488	C₄²×C₄₃	—	2	1	no	—
489	C₄²×C₄₃	—	2	1	no	—
490	C₄²×C₄₃	—	2	1	no	—
491	C₄²×C₄₃	—	2	1	no	—
492	C₄²×C₄₃	—	2	1	no	—
493	C₄²×C₄₃	—	2	1	no	—
494	C₄²×C₄₃	—	2	1	no	—
495	C₄²×C₄₃	—	2	1	no	—
496	C₄²×C₄₃	—	2	1	no	—
497	C₄²×C₄₃	C₂×D₄	1	1	yes	characteristic
498	C₄²×C₄₃	C₂×D₄	1	1	yes	characteristic
499	C₄²×C₄₃	C₂⁴	1	1	yes	characteristic
500	C₄²×C₄₃	C₂⁴	1	1	yes	characteristic
501	C₂²⋊Dic₄₃	—	2	2	no	—
502	C₂²⋊Dic₄₃	—	2	2	no	—
503	#10621885	—	2	4	no	—
504	#10621885	—	4	2	no	—
505	#10621884	—	4	2	no	—
506	#10621883	—	2	4	no	—
507	#10621883	—	4	2	no	—
508	#10621882	—	4	2	no	—
509	(C₂×D₄₃)⋊C₄	—	2	2	no	—
510	(C₂×D₄₃)⋊C₄	—	2	2	no	—
511	(C₂×D₄₃)⋊C₄	—	2	2	no	—
512	(C₂×D₄₃)⋊C₄	—	2	2	no	—
513	(C₂×D₄₃)⋊C₄	—	2	2	no	—
514	(C₂×D₄₃)⋊C₄	—	2	2	no	—
515	C₄⋊Dic₄₃	—	2	1	no	—
516	C₄⋊Dic₄₃	C₂⁴	1	2	yes	—
517	Dic₄₃⋊C₄	—	2	2	no	—
518	Dic₄₃⋊C₄	—	2	2	no	—
519	Dic₄₃⋊C₄	—	2	2	no	—
520	Dic₄₃⋊C₄	—	2	2	no	—
521	C₄×Dic₄₃	—	2	2	no	—
522	C₄×Dic₄₃	—	2	2	no	—
523	#10621877	—	2	2	no	—
524	#10621877	—	2	2	no	—
525	#10621877	—	2	2	no	—
526	#10621877	—	2	2	no	—
527	#10621877	—	4	2	no	—
528	#10621877	—	4	2	no	—
529	C₂×C₄₃⋊C₈	—	4	2	no	—
530	C₂×C₄₃⋊C₈	—	4	2	no	—
531	C₂×C₄₃⋊C₈	C₂⁴	1	2	yes	—
532	C₂×C₄₃⋊C₈	C₂⁴	1	2	yes	—
533	C₂×C₄₃⋊C₈	C₂⁴	1	2	yes	—
534	C₂×C₄₃⋊C₈	C₂⁴	1	2	yes	—
535	C₂³×C₄₃	—	2	2	no	—
536	C₂³×C₄₃	—	2	2	no	—
537	C₂³×C₄₃	—	2	2	no	—
538	C₂³×C₄₃	—	2	1	no	—
539	C₂³×C₄₃	—	4	1	no	—
540	C₂³×C₄₃	—	4	1	no	—
541	C₂³×C₄₃	—	4	1	no	—
542	C₂³×C₄₃	C₂²×D₄	1	1	yes	characteristic
543	C₂³×C₄₃	C₂²×D₄	1	1	yes	characteristic
544	C₂³×C₄₃	C₂²×D₄	1	1	yes	characteristic
545	C₂³×C₄₃	C₂²×D₄	1	1	yes	characteristic
546	C₂³×C₄₃	C₂²×D₄	1	1	yes	characteristic
547	C₂²×D₄₃	—	2	2	no	—
548	C₂²×D₄₃	—	4	2	no	—
549	C₂²×D₄₃	—	4	2	no	—
550	C₂²×D₄₃	—	4	2	no	—
551	Q₈×C₄₃	—	2	1	no	—
552	Q₈×C₄₃	—	2	1	no	—
553	Q₈×C₄₃	—	4	2	no	—
554	Q₈×C₄₃	—	8	1	no	—
555	D₄×C₄₃	—	2	2	no	—
556	D₄×C₄₃	—	2	2	no	—
557	D₄×C₄₃	—	2	1	no	—
558	D₄×C₄₃	—	2	1	no	—
559	D₄×C₄₃	—	4	1	no	—
560	D₄×C₄₃	—	4	1	no	—
561	D₄×C₄₃	—	4	2	no	—
562	D₄×C₄₃	—	4	2	no	—
563	D₄×C₄₃	—	4	2	no	—
564	D₄×C₄₃	—	8	1	no	—
565	D₄×C₄₃	—	8	1	no	—
566	C₂×C₄×C₄₃	—	2	2	no	—
567	C₂×C₄×C₄₃	—	2	2	no	—
568	C₂×C₄×C₄₃	—	2	2	no	—
569	C₂×C₄×C₄₃	—	2	2	no	—
570	C₂×C₄×C₄₃	—	2	2	no	—
571	C₂×C₄×C₄₃	—	2	2	no	—
572	C₂×C₄×C₄₃	—	2	1	no	—
573	C₂×C₄×C₄₃	—	2	1	no	—
574	C₂×C₄×C₄₃	—	2	1	no	—
575	C₂×C₄×C₄₃	—	2	1	no	—
576	C₂×C₄×C₄₃	—	2	1	no	—
577	C₂×C₄×C₄₃	—	2	1	no	—
578	C₂×C₄×C₄₃	—	2	1	no	—
579	C₂×C₄×C₄₃	—	2	1	no	—
580	C₂×C₄×C₄₃	—	2	1	no	—
581	C₂×C₄×C₄₃	—	2	1	no	—
582	C₂×C₄×C₄₃	—	2	1	no	—
583	C₂×C₄×C₄₃	—	2	1	no	—
584	C₂×C₄×C₄₃	—	2	1	no	—
585	C₂×C₄×C₄₃	—	2	1	no	—
586	C₂×C₄×C₄₃	—	2	1	no	—
587	C₂×C₄×C₄₃	—	4	1	no	—
588	C₂×C₄×C₄₃	—	4	1	no	—
589	C₂×C₄×C₄₃	—	4	2	no	—
590	C₂×C₄×C₄₃	—	4	2	no	—
591	C₂×C₄×C₄₃	—	4	2	no	—
592	C₂×C₄×C₄₃	—	4	2	no	—
593	C₂×C₄×C₄₃	—	8	1	no	—
594	C₂×C₄×C₄₃	—	8	1	no	—
595	C₂×C₄×C₄₃	—	8	1	no	—
596	C₂×C₄×C₄₃	C₂²×D₄	1	1	yes	characteristic
597	C₂×C₄×C₄₃	C₂²×D₄	1	1	yes	characteristic
598	C₂×C₄×C₄₃	C₂²×D₄	1	1	yes	characteristic
599	C₂×C₄×C₄₃	C₂²×D₄	1	1	yes	characteristic
600	C₂×C₄×C₄₃	C₂²×D₄	1	1	yes	characteristic
601	C₂×C₄×C₄₃	C₂²×D₄	1	1	yes	characteristic
602	C₂×C₄×C₄₃	C₂²×D₄	1	1	yes	characteristic
603	C₂×C₄×C₄₃	C₂²×D₄	1	1	yes	characteristic
604	C₂×C₄×C₄₃	C₂²×D₄	1	1	yes	characteristic
605	C₂×C₄×C₄₃	C₂×#41	1	2	yes	—
606	C₂×C₄×C₄₃	H(5,𝔽₂)	1	2	yes	—
607	C₂×C₄×C₄₃	C₂⁵	1	1	yes	characteristic
608	C₂²⋊D₄₃	—	4	4	no	—
609	C₂²⋊D₄₃	—	4	4	no	—
610	C₂²⋊D₄₃	—	4	4	no	—
611	C₂²⋊D₄₃	—	4	4	no	—
612	C₂×Dic₄₃	—	2	4	no	—
613	C₂×Dic₄₃	—	2	2	no	—
614	C₂×Dic₄₃	—	2	2	no	—
615	C₂×Dic₄₃	—	2	2	no	—
616	C₂×Dic₄₃	—	4	4	no	—
617	C₂×Dic₄₃	—	4	4	no	—
618	C₂×Dic₄₃	—	4	2	no	—
619	C₂×Dic₄₃	—	4	2	no	—
620	D₁₇₂	—	2	2	no	—
621	D₁₇₂	—	2	2	no	—
622	D₁₇₂	—	4	2	no	—
623	C₄×D₄₃	—	4	4	no	—
624	C₄×D₄₃	—	4	4	no	—
625	Dic₈₆	—	2	4	no	—
626	Dic₈₆	—	2	2	no	—
627	Dic₈₆	—	2	2	no	—
628	Dic₈₆	—	2	2	no	—
629	Dic₈₆	—	4	4	no	—
630	Dic₈₆	—	4	4	no	—
631	Dic₈₆	—	4	2	no	—
632	Dic₈₆	C₂×#41	1	4	yes	—
633	C₄₃⋊C₈	—	2	2	no	—
634	C₄₃⋊C₈	—	2	2	no	—
635	C₄₃⋊C₈	—	2	2	no	—
636	C₄₃⋊C₈	—	2	2	no	—
637	#61158	—	43	1	no	maximal, Sylow
638	C₂²×C₄₃	—	2	1	no	—
639	C₂²×C₄₃	—	2	1	no	—
640	C₂²×C₄₃	—	2	1	no	—
641	C₂²×C₄₃	—	2	1	no	—
642	C₂²×C₄₃	—	2	1	no	—
643	C₂²×C₄₃	—	2	1	no	—
644	C₂²×C₄₃	—	2	1	no	—
645	C₂²×C₄₃	—	2	1	no	—
646	C₂²×C₄₃	—	2	1	no	—
647	C₂²×C₄₃	—	2	1	no	—
648	C₂²×C₄₃	—	2	1	no	—
649	C₂²×C₄₃	—	2	1	no	—
650	C₂²×C₄₃	—	2	1	no	—
651	C₂²×C₄₃	—	4	4	no	—
652	C₂²×C₄₃	—	4	1	no	—
653	C₂²×C₄₃	—	4	1	no	—
654	C₂²×C₄₃	—	4	1	no	—
655	C₂²×C₄₃	—	8	2	no	—
656	C₂²×C₄₃	#546	1	2	yes	—
657	C₂²×C₄₃	#575	1	2	yes	—
658	C₂²×C₄₃	C₂³×D₄	1	1	yes	characteristic
659	C₂×D₄₃	—	4	2	no	—
660	C₂×D₄₃	—	4	2	no	—
661	C₂×D₄₃	—	4	2	no	—
662	C₂×D₄₃	—	8	4	no	—
663	C₄×C₄₃	—	2	1	no	—
664	C₄×C₄₃	—	2	1	no	—
665	C₄×C₄₃	—	2	1	no	—
666	C₄×C₄₃	—	2	1	no	—
667	C₄×C₄₃	—	2	1	no	—
668	C₄×C₄₃	—	2	1	no	—
669	C₄×C₄₃	—	2	1	no	—
670	C₄×C₄₃	—	2	1	no	—
671	C₄×C₄₃	—	4	1	no	—
672	C₄×C₄₃	—	4	1	no	—
673	C₄×C₄₃	—	4	1	no	—
674	C₄×C₄₃	—	4	1	no	—
675	C₄×C₄₃	—	4	1	no	—
676	C₄×C₄₃	—	4	1	no	—
677	C₄×C₄₃	—	4	1	no	—
678	C₄×C₄₃	#546	1	2	yes	—
679	C₄×C₄₃	C₂²×#41	1	1	yes	characteristic
680	C₄×C₄₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
681	Dic₄₃	—	2	4	no	—
682	Dic₄₃	—	4	2	no	—
683	Dic₄₃	—	4	2	no	—
684	#3475	D₄₃	1	1	yes	characteristic, complemented
685	C₂×#548	—	43	1	no	—
686	#3327	—	43	2	no	—
687	#3326	—	43	2	no	—
688	#3321	—	43	2	no	—
689	#3316	—	43	2	no	—
690	#3313	—	43	2	no	—
691	#3308	—	43	2	no	—
692	#3301	—	43	2	no	—
693	#3300	—	43	2	no	—
694	#3140	—	43	1	no	—
695	#3095	—	43	1	no	—
696	#3094	—	43	1	no	—
697	#3078	—	43	1	no	—
698	#3056	—	43	1	no	—
699	#3055	—	43	1	no	—
700	#3040	—	43	1	no	—
701	#3005	—	43	1	no	—
702	#3004	—	43	1	no	—
703	C₄×#137	—	43	1	no	—
704	D₄×M₁₆	—	43	1	no	—
705	#2896	—	43	1	no	—
706	C₂×#419	—	43	1	no	—
707	C₂×C₄₃	—	2	2	no	—
708	C₂×C₄₃	—	2	2	no	—
709	C₂×C₄₃	—	4	1	no	—
710	C₂×C₄₃	—	4	1	no	—
711	C₂×C₄₃	—	4	1	no	—
712	C₂×C₄₃	—	8	1	no	—
713	C₂×C₄₃	C₂×#546	1	1	yes	characteristic
714	C₂×C₄₃	C₂×#575	1	1	yes	characteristic
715	C₂×C₄₃	#3586	1	1	yes	characteristic
716	D₄₃	—	8	2	no	—
717	C₂²×#41	—	43	1	no	—
718	C₂³×Q₈	—	43	1	no	—
719	C₂×#137	—	43	1	no	—
720	C₂×#137	—	43	1	no	—
721	C₂×AGL(1,ℤ/8)	—	43	1	no	—
722	C₂²×M₁₆	—	43	1	no	—
723	C₂²×M₁₆	—	43	1	no	—
724	#556	C₂×D₄₃	1	1	yes	characteristic, complemented
725	#555	C₂×D₄₃	1	1	yes	characteristic, complemented
726	#554	C₂×D₄₃	1	1	yes	characteristic, complemented
727	#553	C₂×D₄₃	1	1	yes	characteristic, complemented
728	#553	C₂×D₄₃	1	1	yes	characteristic, complemented
729	#552	—	2	1	no	—
730	#552	C₂×D₄₃	1	1	yes	characteristic, complemented
731	#552	C₂×D₄₃	1	1	yes	characteristic, complemented
732	#551	—	2	1	no	—
733	#551	—	2	1	no	—
734	#548	—	43	2	no	—
735	#548	—	43	2	no	—
736	#548	—	43	2	no	—
737	#548	—	43	2	no	—
738	#548	—	86	1	no	—
739	#548	—	86	1	no	—
740	#548	—	86	1	no	—
741	#548	—	86	1	no	—
742	#547	C₂×D₄₃	1	1	yes	characteristic, complemented
743	#546	—	2	1	no	—
744	#533	C₂×D₄₃	1	1	yes	characteristic
745	#529	—	2	1	no	—
746	#529	—	2	1	no	—
747	#529	—	2	1	no	—
748	C₂×#124	—	43	1	no	—
749	C₂×#124	—	86	1	no	—
750	#525	C₂×D₄₃	1	1	yes	characteristic
751	#525	C₂×D₄₃	1	1	yes	characteristic
752	C₂×C₂²⋊Q₈	—	43	1	no	—
753	C₂×C₂²⋊Q₈	—	86	1	no	—
754	C₂×#121	—	43	1	no	—
755	C₂×#121	—	86	1	no	—
756	C₄×#41	—	2	1	no	—
757	C₄×#41	C₂×D₄₃	1	1	yes	characteristic
758	C₂×C₄×Q₈	—	43	1	no	—
759	C₂×C₄×D₄	—	86	1	no	—
760	C₂×C₄×D₄	C₂×D₄₃	1	1	yes	characteristic
761	C₂×#117	C₂×D₄₃	1	1	yes	characteristic
762	C₂×#117	C₂×D₄₃	1	1	yes	characteristic
763	#489	—	43	2	no	—
764	#489	—	43	2	no	—
765	#488	—	43	2	no	—
766	#488	—	43	2	no	—
767	#485	—	43	2	no	—
768	#485	—	43	2	no	—
769	#484	—	43	2	no	—
770	#483	—	43	2	no	—
771	#482	—	43	2	no	—
772	#482	—	43	2	no	—
773	#481	—	43	2	no	—
774	#480	—	43	2	no	—
775	#479	—	43	2	no	—
776	#479	—	43	2	no	—
777	#477	—	43	2	no	—
778	#475	—	43	2	no	—
779	#470	—	43	2	no	—
780	#469	—	43	2	no	—
781	#468	—	43	2	no	—
782	#468	—	43	2	no	—
783	#467	—	43	2	no	—
784	#466	—	43	2	no	—
785	#465	—	43	2	no	—
786	#465	—	43	2	no	—
787	#464	—	43	2	no	—
788	#464	—	43	2	no	—
789	#463	—	43	2	no	—
790	#463	—	43	2	no	—
791	#452	—	43	2	no	—
792	#452	—	43	2	no	—
793	#451	—	43	2	no	—
794	#451	—	43	2	no	—
795	#449	—	43	2	no	—
796	#449	—	43	2	no	—
797	#448	—	43	2	no	—
798	#448	—	43	2	no	—
799	#441	—	43	2	no	—
800	#440	—	43	2	no	—
801	C₄×Q₁₆	—	43	2	no	—
802	C₄×SD₁₆	—	43	2	no	—
803	#436	—	43	2	no	—
804	#435	—	43	2	no	—
805	#435	—	43	2	no	—
806	C₈×D₄	—	43	2	no	—
807	#428	—	43	1	no	—
808	#428	—	43	1	no	—
809	#428	—	43	1	no	—
810	#423	—	43	1	no	—
811	#419	—	43	1	no	—
812	#419	—	43	1	no	—
813	#419	—	43	1	no	—
814	#419	—	43	1	no	—
815	#419	—	43	1	no	—
816	#419	—	43	1	no	—
817	#419	—	43	2	no	—
818	#419	—	43	2	no	—
819	#418	—	43	1	no	—
820	#418	—	43	1	no	—
821	#418	—	43	1	no	—
822	#417	—	43	1	no	—
823	#417	—	43	2	no	—
824	#417	—	43	2	no	—
825	#416	—	43	2	no	—
826	#416	—	43	2	no	—
827	C₂×#103	—	43	2	no	—
828	C₂×#103	—	43	2	no	—
829	#407	—	43	1	no	—
830	#407	—	43	1	no	—
831	C₄×M₁₆	—	43	1	no	—
832	C₄₃	#61158	1	1	yes	characteristic, complemented, Sylow
833	C₂×#41	—	2	1	no	—
834	C₂×#41	—	43	2	no	—
835	C₂×#41	—	43	2	no	—
836	C₂×#41	—	86	4	no	—
837	C₂×#41	—	86	1	no	—
838	C₂×#41	—	86	1	no	—
839	C₂×#41	—	172	2	no	—
840	C₂×#41	C₂²×D₄₃	1	1	yes	characteristic
841	C₂²×Q₈	—	43	1	no	—
842	C₂²×Q₈	—	43	1	no	—
843	C₂²×Q₈	—	43	2	no	—
844	C₂²×Q₈	—	43	2	no	—
845	C₂²×Q₈	—	86	4	no	—
846	C₂²×Q₈	—	86	1	no	—
847	C₂²×Q₈	—	86	1	no	—
848	C₂²×Q₈	—	86	1	no	—
849	C₂²×Q₈	—	172	2	no	—
850	C₂²×D₄	—	43	1	no	—
851	C₂²×D₄	—	86	1	no	—
852	C₂²×D₄	—	86	1	no	—
853	C₂²×D₄	C₂²⋊D₄₃	1	1	yes	characteristic
854	C₂³×C₄	—	86	1	no	—
855	C₂³×C₄	—	86	1	no	—
856	C₂³×C₄	C₂²×D₄₃	1	1	yes	characteristic
857	C₂³×C₄	C₂²×D₄₃	1	1	yes	characteristic
858	#137	—	86	4	no	—
859	#137	—	172	2	no	—
860	AGL(1,ℤ/8)	—	172	2	no	—
861	C₂×Q₁₆	—	43	2	no	—
862	C₂×Q₁₆	—	43	2	no	—
863	C₂×SD₁₆	—	43	2	no	—
864	C₂×SD₁₆	—	43	2	no	—
865	C₂×SD₁₆	—	43	2	no	—
866	C₂×D₈	—	43	2	no	—
867	C₂×M₁₆	—	43	1	no	—
868	C₂×M₁₆	—	43	1	no	—
869	C₂×M₁₆	—	43	1	no	—
870	C₂×M₁₆	—	43	1	no	—
871	C₂×M₁₆	—	43	2	no	—
872	C₂×M₁₆	—	43	2	no	—
873	C₂×M₁₆	—	172	2	no	—
874	C₂×M₁₆	—	172	2	no	—
875	C₂²×C₈	—	43	2	no	—
876	C₂²×C₈	—	43	2	no	—
877	C₄⋊Q₈	C₂²×D₄₃	1	1	yes	characteristic
878	C₄⋊Q₈	C₂²×D₄₃	1	1	yes	characteristic
879	#126	—	2	1	no	—
880	#126	—	2	1	no	—
881	#126	—	2	1	no	—
882	#126	—	2	1	no	—
883	#126	—	2	1	no	—
884	#126	—	2	1	no	—
885	#125	—	2	1	no	—
886	#125	—	2	1	no	—
887	#125	—	2	1	no	—
888	#125	C₂²×D₄₃	1	1	yes	characteristic
889	#125	C₂²×D₄₃	1	1	yes	characteristic
890	#124	—	2	1	no	—
891	#124	—	2	1	no	—
892	#124	—	2	1	no	—
893	#124	—	43	2	no	—
894	#124	—	43	2	no	—
895	#124	—	86	2	no	—
896	#124	—	86	2	no	—
897	#124	—	86	2	no	—
898	#124	—	86	2	no	—
899	#124	—	86	1	no	—
900	#124	—	86	1	no	—
901	#123	—	2	1	no	—
902	#123	—	2	1	no	—
903	#123	—	2	1	no	—
904	#123	—	2	1	no	—
905	#123	—	2	1	no	—
906	#123	—	2	1	no	—
907	#123	—	2	1	no	—
908	#123	—	2	1	no	—
909	C₂²⋊Q₈	—	2	1	no	—
910	C₂²⋊Q₈	—	2	1	no	—
911	C₂²⋊Q₈	—	2	1	no	—
912	C₂²⋊Q₈	—	2	1	no	—
913	C₂²⋊Q₈	—	2	1	no	—
914	C₂²⋊Q₈	—	43	2	no	—
915	C₂²⋊Q₈	—	43	2	no	—
916	C₂²⋊Q₈	—	86	1	no	—
917	C₂²⋊Q₈	—	86	1	no	—
918	C₂²⋊Q₈	—	86	2	no	—
919	C₂²⋊Q₈	—	86	2	no	—
920	C₂²⋊Q₈	—	86	2	no	—
921	C₂²⋊Q₈	—	86	2	no	—
922	C₂²⋊Q₈	C₂²×D₄₃	1	1	yes	characteristic
923	C₂²⋊Q₈	C₂²×D₄₃	1	1	yes	characteristic
924	C₂²⋊Q₈	C₂²×D₄₃	1	1	yes	characteristic
925	C₂²⋊Q₈	C₂²×D₄₃	1	1	yes	characteristic
926	#121	—	2	1	no	—
927	#121	—	2	1	no	—
928	#121	—	2	1	no	—
929	#121	—	43	2	no	—
930	#121	—	43	2	no	—
931	#121	—	86	2	no	—
932	#121	—	86	2	no	—
933	#121	—	86	2	no	—
934	#121	—	86	2	no	—
935	#121	—	86	1	no	—
936	#121	—	86	1	no	—
937	#121	C₂²×D₄₃	1	1	yes	characteristic
938	#121	C₂²×D₄₃	1	1	yes	characteristic
939	#121	C₂²×D₄₃	1	1	yes	characteristic
940	#121	C₂²×D₄₃	1	1	yes	characteristic
941	#120	—	2	1	no	—
942	#120	—	2	1	no	—
943	C₄×Q₈	—	2	1	no	—
944	C₄×Q₈	—	2	1	no	—
945	C₄×Q₈	—	2	1	no	—
946	C₄×Q₈	—	43	2	no	—
947	C₄×Q₈	—	43	2	no	—
948	C₄×Q₈	—	86	1	no	—
949	C₄×Q₈	—	86	1	no	—
950	C₄×Q₈	C₂²×D₄₃	1	1	yes	characteristic
951	C₄×Q₈	C₂²×D₄₃	1	1	yes	characteristic
952	C₄×D₄	—	2	1	no	—
953	C₄×D₄	—	2	1	no	—
954	C₄×D₄	—	2	1	no	—
955	C₄×D₄	—	2	1	no	—
956	C₄×D₄	—	2	1	no	—
957	C₄×D₄	—	2	1	no	—
958	C₄×D₄	—	2	1	no	—
959	C₄×D₄	—	2	1	no	—
960	C₄×D₄	—	2	1	no	—
961	C₄×D₄	—	86	2	no	—
962	C₄×D₄	—	86	2	no	—
963	C₄×D₄	—	86	2	no	—
964	C₄×D₄	—	86	2	no	—
965	C₄×D₄	C₂²⋊D₄₃	1	1	yes	characteristic
966	C₄×D₄	C₂²⋊D₄₃	1	1	yes	characteristic
967	C₄×D₄	C₂²⋊D₄₃	1	1	yes	characteristic
968	C₄×D₄	C₂²⋊D₄₃	1	1	yes	characteristic
969	C₄×D₄	C₂²×D₄₃	1	1	yes	characteristic
970	C₄×D₄	C₂²×D₄₃	1	1	yes	characteristic
971	C₄×D₄	C₂²×D₄₃	1	1	yes	characteristic
972	C₄×D₄	C₂²×D₄₃	1	1	yes	characteristic
973	C₄×D₄	C₂²×D₄₃	1	1	yes	characteristic
974	C₄×D₄	C₂²×D₄₃	1	1	yes	characteristic
975	#117	—	2	1	no	—
976	#117	—	2	1	no	—
977	#117	—	2	1	no	—
978	#117	—	2	1	no	—
979	#117	—	2	1	no	—
980	#117	—	2	1	no	—
981	#117	—	2	1	no	—
982	#117	—	2	1	no	—
983	#117	C₂²×D₄₃	1	1	yes	characteristic
984	#117	C₂²×D₄₃	1	1	yes	characteristic
985	#117	C₂²×D₄₃	1	1	yes	characteristic
986	#117	C₂²×D₄₃	1	1	yes	characteristic
987	#117	C₂²×D₄₃	1	1	yes	characteristic
988	#117	C₂²×D₄₃	1	1	yes	characteristic
989	#117	C₂²×D₄₃	1	1	yes	characteristic
990	C₂×C₄⋊C₄	—	43	1	no	—
991	C₂×C₄⋊C₄	—	86	1	no	—
992	C₂×C₄⋊C₄	—	86	1	no	—
993	C₂×C₄⋊C₄	C₂²⋊D₄₃	1	1	yes	characteristic
994	C₂×C₄⋊C₄	C₂²×D₄₃	1	1	yes	characteristic
995	C₂×C₄⋊C₄	C₂²×D₄₃	1	1	yes	characteristic
996	C₂×C₄⋊C₄	C₂²×D₄₃	1	1	yes	characteristic
997	C₂×C₄⋊C₄	C₂²×D₄₃	1	1	yes	characteristic
998	C₂×C₂²⋊C₄	—	2	1	no	—
999	C₂×C₂²⋊C₄	—	2	1	no	—
1000	C₂×C₂²⋊C₄	—	86	1	no	—
1001	C₂×C₂²⋊C₄	—	86	1	no	—
1002	C₂×C₂²⋊C₄	—	86	1	no	—
1003	C₂×C₂²⋊C₄	—	86	1	no	—
1004	C₂×C₂²⋊C₄	C₂²⋊D₄₃	1	1	yes	characteristic
1005	C₂×C₂²⋊C₄	C₂²⋊D₄₃	1	1	yes	characteristic
1006	C₂×C₄²	—	2	1	no	—
1007	C₂×C₄²	—	2	1	no	—
1008	C₂×C₄²	—	2	1	no	—
1009	C₂×C₄²	—	86	1	no	—
1010	C₂×C₄²	C₂²×D₄₃	1	1	yes	characteristic
1011	#107	—	43	2	no	—
1012	#107	—	43	2	no	—
1013	#107	—	43	2	no	—
1014	#106	—	43	2	no	—
1015	#106	—	43	2	no	—
1016	#106	—	43	2	no	—
1017	C₄⋊C₈	—	43	2	no	—
1018	C₄⋊C₈	—	43	2	no	—
1019	#103	—	43	2	no	—
1020	#103	—	43	2	no	—
1021	#103	—	43	2	no	—
1022	#103	—	43	2	no	—
1023	#103	—	43	2	no	—
1024	#103	—	43	2	no	—
1025	#103	—	43	2	no	—
1026	#103	—	43	2	no	—
1027	#103	—	43	2	no	—
1028	#103	—	43	2	no	—
1029	#103	—	43	2	no	—
1030	#103	—	43	2	no	—
1031	#103	—	43	2	no	—
1032	#102	—	43	2	no	—
1033	#102	—	43	2	no	—
1034	#102	—	43	2	no	—
1035	#102	—	43	2	no	—
1036	#102	—	43	2	no	—
1037	#102	—	43	2	no	—
1038	#102	—	43	2	no	—
1039	C₂²⋊C₈	—	43	2	no	—
1040	C₂²⋊C₈	—	43	2	no	—
1041	C₂²⋊C₈	—	43	2	no	—
1042	C₂²⋊C₈	—	43	2	no	—
1043	#97	—	43	2	no	—
1044	C₄×C₈	—	43	2	no	—
1045	C₂⁴	—	86	1	no	—
1046	C₂⁴	C₂×C₂²⋊D₄₃	1	1	yes	characteristic
1047	C₂⁴	C₂×C₂²⋊D₄₃	1	1	yes	characteristic
1048	#41	—	2	2	no	—
1049	#41	—	2	2	no	—
1050	#41	—	4	4	no	—
1051	#41	—	86	4	no	—
1052	#41	—	86	4	no	—
1053	#41	—	172	2	no	—
1054	#41	—	172	2	no	—
1055	#41	—	172	4	no	—
1056	#41	—	172	4	no	—
1057	C₂×Q₈	—	2	1	no	—
1058	C₂×Q₈	—	2	1	no	—
1059	C₂×Q₈	—	43	4	no	—
1060	C₂×Q₈	—	43	2	no	—
1061	C₂×Q₈	—	43	2	no	—
1062	C₂×Q₈	—	86	4	no	—
1063	C₂×Q₈	—	86	4	no	—
1064	C₂×Q₈	—	86	1	no	—
1065	C₂×Q₈	—	86	2	no	—
1066	C₂×Q₈	—	86	2	no	—
1067	C₂×Q₈	—	86	1	no	—
1068	C₂×Q₈	—	86	2	no	—
1069	C₂×Q₈	—	86	2	no	—
1070	C₂×Q₈	—	86	2	no	—
1071	C₂×Q₈	—	172	4	no	—
1072	C₂×Q₈	—	172	2	no	—
1073	C₂×Q₈	—	172	2	no	—
1074	C₂×Q₈	—	172	4	no	—
1075	C₂×Q₈	—	172	4	no	—
1076	C₂×Q₈	C₂³×D₄₃	1	1	yes	characteristic
1077	C₂×D₄	—	2	1	no	—
1078	C₂×D₄	—	2	1	no	—
1079	C₂×D₄	—	2	1	no	—
1080	C₂×D₄	—	2	1	no	—
1081	C₂×D₄	—	2	1	no	—
1082	C₂×D₄	—	4	2	no	—
1083	C₂×D₄	—	43	2	no	—
1084	C₂×D₄	—	86	2	no	—
1085	C₂×D₄	—	86	2	no	—
1086	C₂×D₄	—	86	2	no	—
1087	C₂×D₄	—	86	2	no	—
1088	C₂×D₄	—	86	1	no	—
1089	C₂×D₄	—	86	2	no	—
1090	C₂×D₄	—	86	2	no	—
1091	C₂×D₄	—	172	4	no	—
1092	C₂×D₄	—	172	4	no	—
1093	C₂×D₄	C₂×C₂²⋊D₄₃	1	1	yes	characteristic
1094	C₂×D₄	C₂×C₂²⋊D₄₃	1	1	yes	characteristic
1095	C₂×D₄	C₂×C₂²⋊D₄₃	1	1	yes	characteristic
1096	C₂×D₄	C₂×C₂²⋊D₄₃	1	1	yes	characteristic
1097	C₂×D₄	C₂³×D₄₃	1	1	yes	characteristic
1098	C₂²×C₄	—	2	2	no	—
1099	C₂²×C₄	—	2	2	no	—
1100	C₂²×C₄	—	2	2	no	—
1101	C₂²×C₄	—	2	2	no	—
1102	C₂²×C₄	—	2	1	no	—
1103	C₂²×C₄	—	2	1	no	—
1104	C₂²×C₄	—	2	1	no	—
1105	C₂²×C₄	—	2	1	no	—
1106	C₂²×C₄	—	2	1	no	—
1107	C₂²×C₄	—	2	1	no	—
1108	C₂²×C₄	—	2	1	no	—
1109	C₂²×C₄	—	86	1	no	—
1110	C₂²×C₄	—	86	1	no	—
1111	C₂²×C₄	—	86	1	no	—
1112	C₂²×C₄	—	86	2	no	—
1113	C₂²×C₄	—	86	2	no	—
1114	C₂²×C₄	—	86	2	no	—
1115	C₂²×C₄	—	86	2	no	—
1116	C₂²×C₄	—	172	4	no	—
1117	C₂²×C₄	—	172	4	no	—
1118	C₂²×C₄	C₂×C₂²⋊D₄₃	1	1	yes	characteristic
1119	C₂²×C₄	C₂×C₂²⋊D₄₃	1	1	yes	characteristic
1120	C₂²×C₄	C₂×C₂²⋊D₄₃	1	1	yes	characteristic
1121	C₂²×C₄	C₂×C₂²⋊D₄₃	1	1	yes	characteristic
1122	C₂²×C₄	C₂×C₂²⋊D₄₃	1	1	yes	characteristic
1123	C₂²×C₄	C₂×C₂²⋊D₄₃	1	1	yes	characteristic
1124	C₂²×C₄	C₂×C₂²⋊D₄₃	1	1	yes	characteristic
1125	C₂²×C₄	C₂×C₂²⋊D₄₃	1	1	yes	characteristic
1126	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
1127	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
1128	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
1129	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
1130	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
1131	Q₁₆	—	86	4	no	—
1132	Q₁₆	—	172	2	no	—
1133	SD₁₆	—	86	4	no	—
1134	SD₁₆	—	172	2	no	—
1135	SD₁₆	—	172	2	no	—
1136	D₈	—	172	2	no	—
1137	M₁₆	—	86	2	no	—
1138	M₁₆	—	86	2	no	—
1139	M₁₆	—	86	2	no	—
1140	M₁₆	—	86	2	no	—
1141	M₁₆	—	172	2	no	—
1142	M₁₆	—	172	2	no	—
1143	C₂×C₈	—	43	2	no	—
1144	C₂×C₈	—	43	2	no	—
1145	C₂×C₈	—	43	2	no	—
1146	C₂×C₈	—	43	2	no	—
1147	C₂×C₈	—	172	2	no	—
1148	C₂×C₈	—	172	2	no	—
1149	C₄⋊C₄	—	2	1	no	—
1150	C₄⋊C₄	—	2	1	no	—
1151	C₄⋊C₄	—	2	1	no	—
1152	C₄⋊C₄	—	2	1	no	—
1153	C₄⋊C₄	—	2	1	no	—
1154	C₄⋊C₄	—	2	1	no	—
1155	C₄⋊C₄	—	2	1	no	—
1156	C₄⋊C₄	—	2	1	no	—
1157	C₄⋊C₄	—	2	1	no	—
1158	C₄⋊C₄	—	2	1	no	—
1159	C₄⋊C₄	—	2	1	no	—
1160	C₄⋊C₄	—	2	1	no	—
1161	C₄⋊C₄	—	2	1	no	—
1162	C₄⋊C₄	—	2	1	no	—
1163	C₄⋊C₄	—	2	1	no	—
1164	C₄⋊C₄	—	2	1	no	—
1165	C₄⋊C₄	—	43	2	no	—
1166	C₄⋊C₄	—	86	1	no	—
1167	C₄⋊C₄	—	86	2	no	—
1168	C₄⋊C₄	—	86	2	no	—
1169	C₄⋊C₄	—	86	2	no	—
1170	C₄⋊C₄	—	86	2	no	—
1171	C₄⋊C₄	C₂×C₂²⋊D₄₃	1	1	yes	characteristic
1172	C₄⋊C₄	C₂×C₂²⋊D₄₃	1	1	yes	characteristic
1173	C₄⋊C₄	C₂×C₂²⋊D₄₃	1	1	yes	characteristic
1174	C₄⋊C₄	C₂×C₂²⋊D₄₃	1	1	yes	characteristic
1175	C₄⋊C₄	C₂³×D₄₃	1	1	yes	characteristic
1176	C₄⋊C₄	C₂³×D₄₃	1	1	yes	characteristic
1177	C₄⋊C₄	C₂³×D₄₃	1	1	yes	characteristic
1178	C₄⋊C₄	C₂³×D₄₃	1	1	yes	characteristic
1179	C₄⋊C₄	C₂³×D₄₃	1	1	yes	characteristic
1180	C₄⋊C₄	C₂³×D₄₃	1	1	yes	characteristic
1181	C₂²⋊C₄	—	2	1	no	—
1182	C₂²⋊C₄	—	2	1	no	—
1183	C₂²⋊C₄	—	2	1	no	—
1184	C₂²⋊C₄	—	2	1	no	—
1185	C₂²⋊C₄	—	2	1	no	—
1186	C₂²⋊C₄	—	2	1	no	—
1187	C₂²⋊C₄	—	2	1	no	—
1188	C₂²⋊C₄	—	2	1	no	—
1189	C₂²⋊C₄	—	2	1	no	—
1190	C₂²⋊C₄	—	2	1	no	—
1191	C₂²⋊C₄	—	2	1	no	—
1192	C₂²⋊C₄	—	2	1	no	—
1193	C₂²⋊C₄	—	2	1	no	—
1194	C₂²⋊C₄	—	2	1	no	—
1195	C₂²⋊C₄	—	2	1	no	—
1196	C₂²⋊C₄	—	2	1	no	—
1197	C₂²⋊C₄	—	2	1	no	—
1198	C₂²⋊C₄	—	86	2	no	—
1199	C₂²⋊C₄	—	86	2	no	—
1200	C₂²⋊C₄	—	86	2	no	—
1201	C₂²⋊C₄	—	86	2	no	—
1202	C₂²⋊C₄	—	86	2	no	—
1203	C₂²⋊C₄	—	86	2	no	—
1204	C₂²⋊C₄	—	86	2	no	—
1205	C₂²⋊C₄	—	86	2	no	—
1206	C₂²⋊C₄	C₂×C₂²⋊D₄₃	1	1	yes	characteristic
1207	C₂²⋊C₄	C₂×C₂²⋊D₄₃	1	1	yes	characteristic
1208	C₂²⋊C₄	C₂×C₂²⋊D₄₃	1	1	yes	characteristic
1209	C₂²⋊C₄	C₂×C₂²⋊D₄₃	1	1	yes	characteristic
1210	C₂²⋊C₄	C₂×C₂²⋊D₄₃	1	1	yes	characteristic
1211	C₂²⋊C₄	C₂×C₂²⋊D₄₃	1	1	yes	characteristic
1212	C₂²⋊C₄	C₂×C₂²⋊D₄₃	1	1	yes	characteristic
1213	C₂²⋊C₄	C₂×C₂²⋊D₄₃	1	1	yes	characteristic
1214	C₄²	—	2	1	no	—
1215	C₄²	—	2	1	no	—
1216	C₄²	—	2	1	no	—
1217	C₄²	—	2	1	no	—
1218	C₄²	—	2	1	no	—
1219	C₄²	—	2	1	no	—
1220	C₄²	—	2	1	no	—
1221	C₄²	—	2	1	no	—
1222	C₄²	—	2	1	no	—
1223	C₄²	—	86	2	no	—
1224	C₄²	—	86	2	no	—
1225	C₄²	C₂×C₂²⋊D₄₃	1	1	yes	characteristic
1226	C₄²	C₂×C₂²⋊D₄₃	1	1	yes	characteristic
1227	C₄²	C₂³×D₄₃	1	1	yes	characteristic
1228	C₄²	C₂³×D₄₃	1	1	yes	characteristic
1229	C₂³	—	2	2	no	—
1230	C₂³	—	2	2	no	—
1231	C₂³	—	2	2	no	—
1232	C₂³	—	2	1	no	—
1233	C₂³	—	4	1	no	—
1234	C₂³	—	4	1	no	—
1235	C₂³	—	4	1	no	—
1236	C₂³	—	86	2	no	—
1237	C₂³	—	172	2	no	—
1238	C₂³	—	172	2	no	—
1239	C₂³	—	172	2	no	—
1240	C₂³	C₂²×C₂²⋊D₄₃	1	1	yes	characteristic
1241	C₂³	C₂²×C₂²⋊D₄₃	1	1	yes	characteristic
1242	C₂³	C₂²×C₂²⋊D₄₃	1	1	yes	characteristic
1243	C₂³	C₂²×C₂²⋊D₄₃	1	1	yes	characteristic
1244	C₂³	C₂²×C₂²⋊D₄₃	1	1	yes	characteristic
1245	Q₈	—	2	1	no	—
1246	Q₈	—	2	1	no	—
1247	Q₈	—	4	2	no	—
1248	Q₈	—	8	1	no	—
1249	Q₈	—	43	4	no	—
1250	Q₈	—	86	2	no	—
1251	Q₈	—	86	4	no	—
1252	Q₈	—	86	2	no	—
1253	Q₈	—	86	2	no	—
1254	Q₈	—	172	4	no	—
1255	Q₈	—	172	4	no	—
1256	Q₈	—	172	2	no	—
1257	D₄	—	2	2	no	—
1258	D₄	—	2	2	no	—
1259	D₄	—	2	1	no	—
1260	D₄	—	2	1	no	—
1261	D₄	—	4	1	no	—
1262	D₄	—	4	1	no	—
1263	D₄	—	4	2	no	—
1264	D₄	—	4	2	no	—
1265	D₄	—	4	2	no	—
1266	D₄	—	8	1	no	—
1267	D₄	—	8	1	no	—
1268	D₄	—	86	2	no	—
1269	D₄	—	86	2	no	—
1270	D₄	—	172	4	no	—
1271	D₄	—	172	4	no	—
1272	D₄	—	172	4	no	—
1273	D₄	—	172	4	no	—
1274	D₄	—	172	2	no	—
1275	C₂×C₄	—	2	2	no	—
1276	C₂×C₄	—	2	2	no	—
1277	C₂×C₄	—	2	1	no	—
1278	C₂×C₄	—	2	1	no	—
1279	C₂×C₄	—	2	1	no	—
1280	C₂×C₄	—	2	1	no	—
1281	C₂×C₄	—	2	1	no	—
1282	C₂×C₄	—	2	1	no	—
1283	C₂×C₄	—	2	1	no	—
1284	C₂×C₄	—	2	1	no	—
1285	C₂×C₄	—	2	2	no	—
1286	C₂×C₄	—	2	2	no	—
1287	C₂×C₄	—	2	2	no	—
1288	C₂×C₄	—	2	2	no	—
1289	C₂×C₄	—	2	1	no	—
1290	C₂×C₄	—	2	1	no	—
1291	C₂×C₄	—	2	1	no	—
1292	C₂×C₄	—	2	1	no	—
1293	C₂×C₄	—	2	1	no	—
1294	C₂×C₄	—	2	1	no	—
1295	C₂×C₄	—	2	1	no	—
1296	C₂×C₄	—	4	1	no	—
1297	C₂×C₄	—	4	1	no	—
1298	C₂×C₄	—	4	2	no	—
1299	C₂×C₄	—	4	2	no	—
1300	C₂×C₄	—	4	2	no	—
1301	C₂×C₄	—	4	2	no	—
1302	C₂×C₄	—	8	1	no	—
1303	C₂×C₄	—	8	1	no	—
1304	C₂×C₄	—	8	1	no	—
1305	C₂×C₄	—	86	2	no	—
1306	C₂×C₄	—	86	4	no	—
1307	C₂×C₄	—	86	2	no	—
1308	C₂×C₄	—	86	2	no	—
1309	C₂×C₄	—	172	4	no	—
1310	C₂×C₄	—	172	4	no	—
1311	C₂×C₄	—	172	4	no	—
1312	C₂×C₄	—	172	4	no	—
1313	C₂×C₄	—	172	2	no	—
1314	C₂×C₄	—	172	2	no	—
1315	C₂×C₄	C₂²×C₂²⋊D₄₃	1	1	yes	characteristic
1316	C₂×C₄	C₂²×C₂²⋊D₄₃	1	1	yes	characteristic
1317	C₂×C₄	C₂²×C₂²⋊D₄₃	1	1	yes	characteristic
1318	C₂×C₄	C₂²×C₂²⋊D₄₃	1	1	yes	characteristic
1319	C₂×C₄	C₂²×C₂²⋊D₄₃	1	1	yes	characteristic
1320	C₂×C₄	C₂²×C₂²⋊D₄₃	1	1	yes	characteristic
1321	C₂×C₄	C₂²×C₂²⋊D₄₃	1	1	yes	characteristic
1322	C₂×C₄	C₂²×C₂²⋊D₄₃	1	1	yes	characteristic
1323	C₂×C₄	C₂²×C₂²⋊D₄₃	1	1	yes	characteristic
1324	C₂×C₄	#41×D₄₃	1	2	yes	—
1325	C₂×C₄	#13063371	1	2	yes	—
1326	C₂×C₄	C₂⁴×D₄₃	1	1	yes	characteristic
1327	C₈	—	86	2	no	—
1328	C₈	—	86	2	no	—
1329	C₈	—	86	2	no	—
1330	C₈	—	86	2	no	—
1331	C₂²	—	2	1	no	—
1332	C₂²	—	2	1	no	—
1333	C₂²	—	2	1	no	—
1334	C₂²	—	2	1	no	—
1335	C₂²	—	2	1	no	—
1336	C₂²	—	2	1	no	—
1337	C₂²	—	2	1	no	—
1338	C₂²	—	2	1	no	—
1339	C₂²	—	2	1	no	—
1340	C₂²	—	2	1	no	—
1341	C₂²	—	2	1	no	—
1342	C₂²	—	2	1	no	—
1343	C₂²	—	2	1	no	—
1344	C₂²	—	4	4	no	—
1345	C₂²	—	4	1	no	—
1346	C₂²	—	4	1	no	—
1347	C₂²	—	4	1	no	—
1348	C₂²	—	8	2	no	—
1349	C₂²	—	344	4	no	—
1350	C₂²	—	172	2	no	—
1351	C₂²	—	172	2	no	—
1352	C₂²	—	172	2	no	—
1353	C₂²	#14583537	1	2	yes	—
1354	C₂²	#14583697	1	2	yes	—
1355	C₂²	C₂³×C₂²⋊D₄₃	1	1	yes	characteristic
1356	C₄	—	2	1	no	—
1357	C₄	—	2	1	no	—
1358	C₄	—	2	1	no	—
1359	C₄	—	2	1	no	—
1360	C₄	—	2	1	no	—
1361	C₄	—	2	1	no	—
1362	C₄	—	2	1	no	—
1363	C₄	—	2	1	no	—
1364	C₄	—	4	1	no	—
1365	C₄	—	4	1	no	—
1366	C₄	—	4	1	no	—
1367	C₄	—	4	1	no	—
1368	C₄	—	4	1	no	—
1369	C₄	—	4	1	no	—
1370	C₄	—	4	1	no	—
1371	C₄	—	86	4	no	—
1372	C₄	—	172	2	no	—
1373	C₄	—	172	2	no	—
1374	C₄	#14583537	1	2	yes	—
1375	C₄	C₂×#41×D₄₃	1	1	yes	characteristic
1376	C₄	C₂×#13063371	1	1	yes	characteristic
1377	C₂	—	2	2	no	—
1378	C₂	—	2	2	no	—
1379	C₂	—	4	1	no	—
1380	C₂	—	4	1	no	—
1381	C₂	—	4	1	no	—
1382	C₂	—	8	1	no	—
1383	C₂	—	344	2	no	—
1384	C₂	C₂×#14583537	1	1	yes	characteristic
1385	C₂	C₂×#14583697	1	1	yes	characteristic
1386	C₂	#19149381	1	1	yes	characteristic

	subgroup	G/H
center	C₂²	C₂³×C₂²⋊D₄₃
commutator, cosocle	C₂×C₄×C₄₃	C₂⁵
Frattini	C₂×C₄	C₂⁴×D₄₃
Fitting	C₄₃×#3475	C₂
socle	C₂²×C₄₃	C₂³×D₄
hypercenter	#3475	D₄₃
hypocenter	C₄₃	#61158
LCS	G ▷ C₂×C₄×C₄₃ ▷ C₂×C₄₃ ▷ C₄₃
UCS	C₁ ◁ C₂² ◁ C₂×C₄×D₄ ◁ #3475

Complements

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

N	H ≅ G/N	type
1. C₂×#14583558	C₂	semidirect
2. #19146857	C₂	semidirect
3. #19146842	C₂	semidirect
4. #19146775	C₂	semidirect
5. #19146700	C₂	semidirect
6. #19146655	C₂	semidirect
7. #19146580	C₂	semidirect
8. #19146491	C₂	semidirect
9. #19146476	C₂	semidirect
10. #19144984	C₂	semidirect
11. #19144543	C₂	semidirect
12. #19144535	C₂	semidirect
13. #19144396	C₂	semidirect
14. #19144227	C₂	semidirect
15. #19144216	C₂	semidirect
16. #19144089	C₂	semidirect
17. #19143835	C₂	semidirect
18. #19143828	C₂	semidirect
19. C₄×#13063355	C₂	semidirect
20. D₄×#10621877	C₂	semidirect
21. #19143112	C₂	semidirect
22. C₂×#14582907	C₂	semidirect
23. C₄₃×#3475	C₂	semidirect
47. #14583261	C₂²	semidirect
48. #14583261	C₂²	semidirect
49. #14583256	C₂²	semidirect
50. #14583256	C₂²	semidirect
51. #14583240	C₂²	semidirect
52. #14583240	C₂²	semidirect
53. #14583234	C₂²	semidirect
54. #14583229	C₂²	semidirect
55. #14583223	C₂²	semidirect
56. #14583223	C₂²	semidirect
57. #14583217	C₂²	semidirect
58. #14583212	C₂²	semidirect
59. #14583203	C₂²	semidirect
60. #14583203	C₂²	semidirect
61. #14583191	C₂²	semidirect
62. #14583181	C₂²	semidirect
63. #14583155	C₂²	semidirect
64. #14583150	C₂²	semidirect
65. #14583147	C₂²	semidirect
66. #14583143	C₂²	semidirect
67. #14583138	C₂²	semidirect
68. #14583133	C₂²	semidirect
69. #14583130	C₂²	semidirect
70. #14583126	C₂²	semidirect
71. #14583121	C₂²	semidirect
72. #14583121	C₂²	semidirect
73. #14583114	C₂²	semidirect
74. #14583114	C₂²	semidirect
75. #14583059	C₂²	semidirect
76. #14583059	C₂²	semidirect
77. #14583054	C₂²	semidirect
78. #14583054	C₂²	semidirect
79. #14583042	C₂²	semidirect
80. #14583042	C₂²	semidirect
81. #14583037	C₂²	semidirect
82. #14583037	C₂²	semidirect
83. #14583004	C₂²	semidirect
84. #14582999	C₂²	semidirect
85. C₄×#10621885	C₂²	semidirect
86. C₄×#10621883	C₂²	semidirect
87. #14582977	C₂²	semidirect
88. #14582971	C₂²	semidirect
89. #14582971	C₂²	semidirect
90. D₄×C₄₃⋊C₈	C₂²	semidirect
101. #14582907	C₂²	semidirect
102. #14582907	C₂²	semidirect
107. #14582898	C₂²	semidirect
108. #14582898	C₂²	semidirect
109. #14582893	C₂²	semidirect
110. #14582893	C₂²	semidirect
111. C₂×#13063248	C₂²	semidirect
112. C₂×#13063248	C₂²	semidirect
116. C₄₃×#556	C₂²	semidirect
117. C₄₃×#555	C₂²	semidirect
118. C₄₃×#554	C₂²	semidirect
119. C₄₃×#553	C₂²	semidirect
120. C₄₃×#553	C₂²	semidirect
122. C₄₃×#552	C₂²	semidirect
123. C₄₃×#552	C₂²	semidirect
126. C₄₃×#547	C₂²	semidirect
434. C₂×Dic₈₆	#41	semidirect
684. #3475	D₄₃	semidirect
724. #556	C₂×D₄₃	semidirect
725. #555	C₂×D₄₃	semidirect
726. #554	C₂×D₄₃	semidirect
727. #553	C₂×D₄₃	semidirect
728. #553	C₂×D₄₃	semidirect
730. #552	C₂×D₄₃	semidirect
731. #552	C₂×D₄₃	semidirect
742. #547	C₂×D₄₃	semidirect
832. C₄₃	#61158	semidirect

Maximal subgroups

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

subgroup	index
C₂×#14583558	2
#19146857	2
#19146842	2
#19146775	2
#19146700	2
#19146655	2
#19146580	2
#19146491	2
#19146476	2
#19144984	2
#19144543	2
#19144535	2
#19144396	2
#19144227	2
#19144216	2
#19144089	2
#19143835	2
#19143828	2
C₄×#13063355	2
D₄×#10621877	2
#19143112	2
C₂×#14582907	2
C₄₃×#3475	2
#61158	43