Subgroups — #36312968

Order 21248.

7286 conjugacy classes of subgroups.

The subgroup lattice has 1436 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#24921210	C₂	1	4	yes	maximal, complemented
2	#24921203	C₂	1	4	yes	maximal, complemented
3	#24921193	C₂	1	4	yes	maximal, complemented
4	#24921186	C₂	1	4	yes	maximal, complemented
5	#24921175	C₂	1	4	yes	maximal, complemented
6	#24921164	C₂	1	4	yes	maximal, complemented
7	#24921155	C₂	1	4	yes	maximal, complemented
8	#24921146	C₂	1	4	yes	maximal, complemented
9	#24921025	C₂	1	8	yes	maximal, complemented
10	#24921015	C₂	1	8	yes	maximal, complemented
11	#24920866	C₂	1	1	yes	maximal, characteristic, complemented
12	#24920855	C₂	1	1	yes	maximal, characteristic, complemented
13	#24920852	C₂	1	1	yes	maximal, characteristic, complemented
14	#24920848	C₂	1	2	yes	maximal, complemented
15	#24920790	C₂	1	1	yes	maximal, characteristic, complemented
16	#24920759	C₂	1	1	yes	maximal, characteristic, complemented
17	#24920755	C₂	1	2	yes	maximal, complemented
18	#525×D₈₃	C₂	1	2	yes	maximal, complemented
19	#24920662	C₂	1	2	yes	maximal, complemented
20	C₂²×#14581749	C₂	1	1	yes	maximal, characteristic, complemented
21	C₈₃×#3444	C₂	1	1	yes	maximal, characteristic, complemented
22	C₂×#41×D₈₃	C₂²	1	2	yes	—
23	C₂³×C₄×D₈₃	C₂²	1	1	yes	characteristic
24	#19128423	C₂²	1	8	yes	complemented
25	#19128418	C₂²	1	8	yes	complemented
26	#19128414	C₂²	1	8	yes	complemented
27	#19128413	C₂²	1	8	yes	complemented
28	#19128410	C₂²	1	8	yes	complemented
29	#19128405	C₂²	1	8	yes	complemented
30	#19128402	C₂²	1	8	yes	complemented
31	#19128400	C₂²	1	8	yes	complemented
32	#19128400	C₂²	1	8	yes	complemented
33	#19128394	C₂²	1	8	yes	complemented
34	#19128392	C₂²	1	8	yes	complemented
35	#19128390	C₂²	1	8	yes	complemented
36	#19128388	C₂²	1	8	yes	complemented
37	#19128387	C₂²	1	8	yes	complemented
38	#19128384	C₂²	1	8	yes	complemented
39	#19128384	C₂²	1	8	yes	complemented
40	#19128383	C₂²	1	8	yes	complemented
41	#19128383	C₂²	1	8	yes	complemented
42	#19128381	C₂²	1	8	yes	complemented
43	#19128380	C₂²	1	8	yes	complemented
44	#19128380	C₂²	1	8	yes	complemented
45	#19128378	C₂²	1	8	yes	complemented
46	#19128376	C₂²	1	8	yes	complemented
47	#19128375	C₂²	1	8	yes	complemented
48	#19128375	C₂²	1	8	yes	complemented
49	#19128374	C₂²	1	8	yes	complemented
50	#19128350	C₂²	1	8	yes	complemented
51	#19128349	C₂²	1	8	yes	complemented
52	#19128346	C₂²	1	8	yes	complemented
53	#19128343	C₂²	1	8	yes	complemented
54	#19128340	C₂²	1	8	yes	complemented
55	#19128339	C₂²	1	8	yes	complemented
56	#19128331	C₂²	1	4	yes	complemented
57	#19128330	C₂²	1	4	yes	complemented
58	#19128328	C₂²	1	4	yes	complemented
59	#19128326	C₂²	1	4	yes	—
60	#19128325	C₂²	1	4	yes	complemented
61	#19128323	C₂²	1	4	yes	complemented
62	#19128320	C₂²	1	4	yes	complemented
63	#19128316	C₂²	1	4	yes	complemented
64	#19128314	C₂²	1	2	yes	complemented
65	#19128312	C₂²	1	2	yes	complemented
66	#19128309	C₂²	1	4	yes	complemented
67	#19128307	C₂²	1	2	yes	complemented
68	#19128305	C₂²	1	2	yes	complemented
69	#19128302	C₂²	1	4	yes	complemented
70	#19128300	C₂²	1	4	yes	complemented
71	#19128296	C₂²	1	4	yes	complemented
72	#19128293	C₂²	1	8	yes	complemented
73	#19128291	C₂²	1	4	yes	complemented
74	#19128288	C₂²	1	4	yes	complemented
75	#19128284	C₂²	1	8	yes	complemented
76	#19128278	C₂²	1	4	yes	complemented
77	#19128276	C₂²	1	2	yes	complemented
78	#19128271	C₂²	1	2	yes	complemented
79	#19128269	C₂²	1	2	yes	complemented
80	#19128264	C₂²	1	2	yes	complemented
81	#19128259	C₂²	1	4	yes	—
82	#19128258	C₂²	1	1	yes	characteristic, complemented
83	#19128258	C₂²	1	2	yes	complemented
84	#19128255	C₂²	1	8	yes	complemented
85	#19128254	C₂²	1	2	yes	complemented
86	#19128253	C₂²	1	4	yes	complemented
87	#19128251	C₂²	1	1	yes	characteristic, complemented
88	#19128251	C₂²	1	2	yes	complemented
89	#19128247	C₂²	1	2	yes	complemented
90	#19128246	C₂²	1	4	yes	complemented
91	#19128238	C₂²	1	8	yes	complemented
92	#19128237	C₂²	1	4	yes	complemented
93	#19128235	C₂²	1	4	yes	complemented
94	#19128235	C₂²	1	4	yes	complemented
95	#19128235	C₂²	1	4	yes	complemented
96	#19128235	C₂²	1	8	yes	complemented
97	#19128232	C₂²	1	4	yes	complemented
98	#19128231	C₂²	1	8	yes	complemented
99	#19128231	C₂²	1	8	yes	complemented
100	#19128229	C₂²	1	8	yes	complemented
101	#19128228	C₂²	1	8	yes	complemented
102	#19128214	C₂²	1	4	yes	—
103	#19128213	C₂²	1	2	yes	complemented
104	#19128212	C₂²	1	4	yes	complemented
105	#19128212	C₂²	1	2	yes	complemented
106	#19128211	C₂²	1	4	yes	—
107	#19128210	C₂²	1	8	yes	—
108	#19128210	C₂²	1	8	yes	complemented
109	#19128209	C₂²	1	4	yes	complemented
110	#19128208	C₂²	1	2	yes	complemented
111	#19128207	C₂²	1	8	yes	complemented
112	#19128207	C₂²	1	4	yes	complemented
113	#123×D₈₃	C₂²	1	4	yes	—
114	C₂²⋊Q₈×D₈₃	C₂²	1	4	yes	complemented
115	#121×D₈₃	C₂²	1	4	yes	complemented
116	#120×D₈₃	C₂²	1	4	yes	—
117	#19128183	C₂²	1	4	yes	complemented
118	#19128180	C₂²	1	8	yes	complemented
119	#19128180	C₂²	1	4	yes	complemented
120	#19128177	C₂²	1	4	yes	complemented
121	#19128173	C₂²	1	8	yes	—
122	#19128173	C₂²	1	4	yes	complemented
123	#41×Dic₈₃	C₂²	1	2	yes	complemented
124	C₄×#13050590	C₂²	1	2	yes	complemented
125	C₄×#13050590	C₂²	1	4	yes	complemented
126	C₄×#13050590	C₂²	1	4	yes	complemented
127	#19128169	C₂²	1	2	yes	complemented
128	#19128169	C₂²	1	4	yes	complemented
129	C₄×#13050589	C₂²	1	8	yes	complemented
130	C₄×D₄×D₈₃	C₂²	1	8	yes	complemented
131	C₂×#14581749	C₂²	1	1	yes	characteristic
132	C₂×#14581749	C₂²	1	2	yes	—
133	C₂×#14581749	C₂²	1	1	yes	characteristic
134	C₂×#14581749	C₂²	1	1	yes	characteristic, complemented
135	C₂×#14581749	C₂²	1	1	yes	characteristic, complemented
136	C₂×#14581749	C₂²	1	2	yes	complemented
137	C₂×#14581749	C₂²	1	4	yes	complemented
138	C₂×#14581749	C₂²	1	4	yes	complemented
139	C₂×#14581749	C₂²	1	4	yes	complemented
140	C₂×#14581749	C₂²	1	4	yes	complemented
141	C₂×#14581749	C₂²	1	4	yes	complemented
142	#117×D₈₃	C₂²	1	2	yes	—
143	#117×D₈₃	C₂²	1	4	yes	complemented
144	C₂²×Dic₈₃⋊C₄	C₂²	1	2	yes	complemented
145	C₂²×(C₂×D₈₃)⋊C₄	C₂²	1	2	yes	—
146	C₂²×C₄×Dic₈₃	C₂²	1	1	yes	characteristic, complemented
147	#533×C₈₃	C₂²	1	1	yes	characteristic, complemented
148	#533×C₈₃	C₂²	1	2	yes	complemented
149	#532×C₈₃	C₂²	1	1	yes	characteristic, complemented
150	#532×C₈₃	C₂²	1	2	yes	complemented
151	#529×C₈₃	C₂²	1	4	yes	complemented
152	#529×C₈₃	C₂²	1	4	yes	complemented
153	#529×C₈₃	C₂²	1	4	yes	complemented
154	#525×C₈₃	C₂²	1	4	yes	complemented
155	#525×C₈₃	C₂²	1	2	yes	complemented
156	C₄×#41×C₈₃	C₂²	1	2	yes	complemented
157	C₄×#41×C₈₃	C₂²	1	4	yes	complemented
158	C₂²×C₄²×C₈₃	C₂²	1	1	yes	characteristic, complemented
159	C₂⁴×D₈₃	C₂³	1	1	yes	characteristic
160	C₂×#13050591	C₂³	1	2	yes	—
161	C₂×#13050590	C₂³	1	4	yes	—
162	C₂×#13050590	C₂³	1	2	yes	—
163	C₂×#13050590	C₂³	1	4	yes	—
164	C₂×#13050589	C₂³	1	4	yes	—
165	C₂×#13050589	C₂³	1	2	yes	—
166	C₂×#13050589	C₂³	1	8	yes	—
167	#41×D₈₃	—	2	16	no	—
168	C₂×Q₈×D₈₃	C₂³	1	2	yes	—
169	C₂×D₄×D₈₃	C₂³	1	4	yes	—
170	C₂×D₄×D₈₃	C₂³	1	2	yes	—
171	C₂×D₄×D₈₃	C₂³	1	8	yes	—
172	C₂³×Dic₈₃	C₂³	1	1	yes	characteristic
173	C₂³×Dic₈₃	C₂³	1	2	yes	—
174	C₂²×C₄×D₈₃	—	2	8	no	—
175	C₂²×C₄×D₈₃	C₂³	1	4	yes	—
176	C₂²×C₄×D₈₃	C₂³	1	1	yes	characteristic
177	C₂²×C₄×D₈₃	C₂³	1	4	yes	—
178	C₂²×C₄×D₈₃	C₂³	1	4	yes	—
179	C₂²×C₄×D₈₃	C₂³	1	1	yes	characteristic
180	C₂²×C₄×D₈₃	C₂³	1	1	yes	characteristic
181	C₂²×C₄×D₈₃	C₂³	1	1	yes	characteristic
182	#14581792	C₂³	1	2	yes	complemented
183	#14581792	C₂³	1	1	yes	characteristic, complemented
184	#14581791	C₂³	1	4	yes	complemented
185	#14581791	C₂³	1	8	yes	complemented
186	#14581790	C₂³	1	8	yes	complemented
187	#14581790	C₂³	1	2	yes	complemented
188	#14581789	C₂³	1	1	yes	characteristic, complemented
189	#14581788	C₂³	1	2	yes	complemented
190	#14581787	C₂³	1	8	yes	—
191	#14581787	C₂³	1	8	yes	—
192	#14581787	C₂³	1	8	yes	—
193	#14581787	C₂³	1	8	yes	complemented
194	#14581787	C₂³	1	8	yes	complemented
195	#14581786	C₂³	1	8	yes	—
196	#14581786	C₂³	1	8	yes	complemented
197	#14581786	C₂³	1	8	yes	complemented
198	#14581785	C₂³	1	8	yes	complemented
199	#14581785	C₂³	1	8	yes	complemented
200	#14581785	C₂³	1	8	yes	complemented
201	#14581784	C₂³	1	2	yes	complemented
202	#14581784	C₂³	1	4	yes	complemented
203	#14581784	C₂³	1	8	yes	complemented
204	#14581783	C₂³	1	4	yes	complemented
205	#14581783	C₂³	1	8	yes	complemented
206	#14581782	C₂³	1	8	yes	complemented
207	#14581782	C₂³	1	8	yes	complemented
208	#14581782	C₂³	1	8	yes	complemented
209	#14581782	C₂³	1	8	yes	complemented
210	#14581782	C₂³	1	8	yes	complemented
211	#14581781	C₂³	1	8	yes	—
212	#14581781	C₂³	1	2	yes	complemented
213	#14581780	C₂³	1	8	yes	—
214	#14581780	C₂³	1	2	yes	complemented
215	#14581780	C₂³	1	4	yes	complemented
216	#14581779	C₂³	1	2	yes	complemented
217	#14581778	C₂³	1	8	yes	—
218	#14581778	C₂³	1	8	yes	—
219	#14581778	C₂³	1	8	yes	complemented
220	#14581777	C₂³	1	8	yes	—
221	#14581777	C₂³	1	8	yes	—
222	#14581777	C₂³	1	8	yes	—
223	#14581777	C₂³	1	8	yes	—
224	#14581777	C₂³	1	8	yes	complemented
225	#14581776	C₂³	1	8	yes	—
226	#14581776	C₂³	1	8	yes	—
227	#14581776	C₂³	1	4	yes	—
228	#14581775	C₂³	1	8	yes	—
229	#14581775	C₂³	1	8	yes	—
230	#14581775	C₂³	1	4	yes	—
231	#14581775	C₂³	1	8	yes	complemented
232	#14581774	C₂³	1	8	yes	—
233	#14581774	C₂³	1	8	yes	—
234	#14581774	C₂³	1	8	yes	complemented
235	#14581773	C₂³	1	8	yes	—
236	#14581773	C₂³	1	4	yes	—
237	#14581773	C₂³	1	8	yes	complemented
238	#14581772	C₂³	1	4	yes	—
239	#14581772	C₂³	1	8	yes	—
240	#14581771	C₂³	1	4	yes	—
241	#14581771	C₂³	1	4	yes	—
242	#14581771	C₂³	1	4	yes	—
243	#14581771	C₂³	1	8	yes	complemented
244	#14581770	C₂³	1	8	yes	—
245	#14581770	C₂³	1	8	yes	—
246	#14581770	C₂³	1	8	yes	—
247	#14581770	C₂³	1	8	yes	complemented
248	#14581770	C₂³	1	8	yes	complemented
249	#14581769	C₂³	1	8	yes	—
250	#14581769	C₂³	1	8	yes	—
251	#14581769	C₂³	1	8	yes	—
252	#14581769	C₂³	1	8	yes	complemented
253	#14581769	C₂³	1	8	yes	complemented
254	#14581768	C₂³	1	4	yes	—
255	#14581768	C₂³	1	8	yes	—
256	#14581768	C₂³	1	8	yes	complemented
257	#14581767	C₂³	1	4	yes	—
258	#14581767	C₂³	1	8	yes	—
259	#14581766	C₂³	1	8	yes	—
260	#14581766	C₂³	1	4	yes	—
261	#14581766	C₂³	1	4	yes	—
262	#14581766	C₂³	1	4	yes	—
263	#14581765	C₂³	1	8	yes	—
264	#14581765	C₂³	1	8	yes	—
265	#14581765	C₂³	1	8	yes	complemented
266	#14581764	C₂³	1	8	yes	—
267	#14581764	C₂³	1	8	yes	—
268	#14581764	C₂³	1	8	yes	—
269	#14581764	C₂³	1	8	yes	—
270	#14581764	C₂³	1	8	yes	complemented
271	#14581763	C₂³	1	4	yes	—
272	#14581762	C₂³	1	8	yes	—
273	#14581762	C₂³	1	8	yes	—
274	#14581762	C₂³	1	4	yes	—
275	#14581761	C₂³	1	4	yes	—
276	#14581760	C₂³	1	8	yes	—
277	#14581760	C₂³	1	8	yes	—
278	#14581760	C₂³	1	4	yes	—
279	Q₈×Dic₈₃	C₂³	1	4	yes	complemented
280	C₄×Dic₁₆₆	C₂³	1	8	yes	complemented
281	C₄×Dic₁₆₆	C₂³	1	4	yes	complemented
282	C₄×Dic₁₆₆	C₂³	1	8	yes	complemented
283	C₄×Dic₁₆₆	C₂³	1	4	yes	complemented
284	C₄×Dic₁₆₆	C₂³	1	4	yes	complemented
285	#14581757	C₂³	1	4	yes	complemented
286	#14581757	C₂³	1	8	yes	complemented
287	#14581757	C₂³	1	8	yes	complemented
288	C₄×D₃₃₂	C₂³	1	8	yes	—
289	C₄×D₃₃₂	C₂³	1	8	yes	—
290	C₄×D₃₃₂	C₂³	1	4	yes	complemented
291	C₄×D₃₃₂	C₂³	1	4	yes	complemented
292	C₄×D₃₃₂	C₂³	1	4	yes	complemented
293	D₄×Dic₈₃	C₂³	1	8	yes	—
294	D₄×Dic₈₃	C₂³	1	8	yes	—
295	D₄×Dic₈₃	C₂³	1	8	yes	—
296	D₄×Dic₈₃	C₂³	1	4	yes	complemented
297	#14581754	C₂³	1	8	yes	—
298	#14581754	C₂³	1	8	yes	—
299	#14581754	C₂³	1	4	yes	complemented
300	C₄×C₂²⋊D₈₃	C₂³	1	8	yes	—
301	C₄×C₂²⋊D₈₃	C₂³	1	8	yes	—
302	C₄×C₂²⋊D₈₃	C₂³	1	8	yes	—
303	C₄×C₂²⋊D₈₃	C₂³	1	8	yes	—
304	C₄×C₂²⋊D₈₃	C₂³	1	8	yes	—
305	C₄×C₂²⋊D₈₃	C₂³	1	8	yes	complemented
306	C₄×C₂²⋊D₈₃	C₂³	1	8	yes	complemented
307	(C₂²⋊D₈₃)⋊C₄	C₂³	1	8	yes	—
308	(C₂²⋊D₈₃)⋊C₄	C₂³	1	8	yes	—
309	(C₂²⋊D₈₃)⋊C₄	C₂³	1	8	yes	—
310	(C₂²⋊D₈₃)⋊C₄	C₂³	1	8	yes	—
311	(C₂²⋊D₈₃)⋊C₄	C₂³	1	8	yes	—
312	(C₂²⋊D₈₃)⋊C₄	C₂³	1	8	yes	complemented
313	(C₂²⋊D₈₃)⋊C₄	C₂³	1	8	yes	complemented
314	#14581751	C₂³	1	4	yes	—
315	#14581751	C₂³	1	2	yes	—
316	#14581751	C₂³	1	4	yes	complemented
317	#14581750	C₂³	1	4	yes	—
318	#14581750	C₂³	1	8	yes	—
319	#14581750	C₂³	1	8	yes	complemented
320	#14581749	C₂³	1	2	yes	—
321	#14581749	C₂³	1	4	yes	—
322	#14581749	C₂³	1	2	yes	—
323	#14581749	C₂³	1	2	yes	—
324	#14581749	C₂³	1	2	yes	—
325	#14581749	C₂³	1	4	yes	—
326	#14581749	C₂³	1	8	yes	—
327	#14581749	C₂³	1	4	yes	—
328	#14581749	C₂³	1	4	yes	—
329	#14581749	C₂³	1	4	yes	—
330	#14581749	C₂³	1	4	yes	—
331	#14581749	C₂³	1	4	yes	—
332	#14581749	C₂³	1	4	yes	—
333	#14581749	C₂³	1	4	yes	—
334	#14581749	C₂³	1	4	yes	—
335	#14581749	C₂³	1	2	yes	—
336	#14581749	C₂³	1	2	yes	—
337	#14581749	C₂³	1	4	yes	—
338	#14581749	C₂³	1	4	yes	—
339	#14581749	C₂³	1	2	yes	—
340	#14581749	C₂³	1	4	yes	—
341	#14581749	C₂³	1	2	yes	—
342	#14581749	C₂³	1	8	yes	complemented
343	#14581749	C₂³	1	8	yes	complemented
344	#14581749	C₂³	1	4	yes	complemented
345	#14581749	C₂³	1	4	yes	complemented
346	#14581748	C₂³	1	4	yes	—
347	#14581748	C₂³	1	8	yes	—
348	#14581748	C₂³	1	8	yes	complemented
349	#14581748	C₂³	1	8	yes	complemented
350	C₂×Dic₈₃⋊C₄	C₂³	1	2	yes	—
351	C₂×Dic₈₃⋊C₄	C₂³	1	4	yes	—
352	C₂×Dic₈₃⋊C₄	C₂³	1	4	yes	—
353	C₂×Dic₈₃⋊C₄	C₂³	1	4	yes	—
354	C₂×Dic₈₃⋊C₄	C₂³	1	4	yes	—
355	C₂×Dic₈₃⋊C₄	C₂³	1	2	yes	—
356	C₂×Dic₈₃⋊C₄	C₂³	1	2	yes	—
357	C₂×Dic₈₃⋊C₄	C₂³	1	2	yes	—
358	C₂×Dic₈₃⋊C₄	C₂³	1	8	yes	complemented
359	C₄⋊C₄×D₈₃	C₂³	1	4	yes	—
360	C₄⋊C₄×D₈₃	C₂³	1	8	yes	—
361	C₄⋊C₄×D₈₃	C₂³	1	8	yes	complemented
362	C₂×(C₂×D₈₃)⋊C₄	C₂³	1	2	yes	—
363	C₂×(C₂×D₈₃)⋊C₄	C₂³	1	4	yes	—
364	C₂×(C₂×D₈₃)⋊C₄	C₂³	1	8	yes	—
365	C₂×(C₂×D₈₃)⋊C₄	C₂³	1	4	yes	—
366	C₂×(C₂×D₈₃)⋊C₄	C₂³	1	4	yes	—
367	C₂×(C₂×D₈₃)⋊C₄	C₂³	1	4	yes	—
368	C₂×(C₂×D₈₃)⋊C₄	C₂³	1	2	yes	—
369	C₂×(C₂×D₈₃)⋊C₄	C₂³	1	2	yes	—
370	C₂×(C₂×D₈₃)⋊C₄	C₂³	1	2	yes	—
371	C₂²⋊C₄×D₈₃	C₂³	1	4	yes	—
372	C₂²⋊C₄×D₈₃	C₂³	1	8	yes	—
373	C₂²⋊C₄×D₈₃	C₂³	1	8	yes	—
374	C₂²⋊C₄×D₈₃	C₂³	1	8	yes	—
375	C₂×C₄×Dic₈₃	C₂³	1	1	yes	characteristic
376	C₂×C₄×Dic₈₃	C₂³	1	2	yes	—
377	C₂×C₄×Dic₈₃	C₂³	1	1	yes	characteristic
378	C₂×C₄×Dic₈₃	C₂³	1	4	yes	—
379	C₂×C₄×Dic₈₃	C₂³	1	4	yes	—
380	C₂×C₄×Dic₈₃	C₂³	1	4	yes	complemented
381	C₄²×D₈₃	C₂³	1	4	yes	—
382	C₄²×D₈₃	C₂³	1	4	yes	complemented
383	C₄²×D₈₃	C₂³	1	4	yes	complemented
384	C₂×#41×C₈₃	C₂³	1	2	yes	—
385	C₂×#41×C₈₃	C₂³	1	4	yes	—
386	C₂³×C₄×C₈₃	C₂³	1	1	yes	characteristic
387	C₂³×C₄×C₈₃	C₂³	1	2	yes	—
388	C₄⋊Q₈×C₈₃	C₂³	1	2	yes	complemented
389	C₄⋊Q₈×C₈₃	C₂³	1	1	yes	characteristic, complemented
390	#127×C₈₃	C₂³	1	1	yes	characteristic, complemented
391	#126×C₈₃	C₂³	1	8	yes	complemented
392	#125×C₈₃	C₂³	1	2	yes	complemented
393	#125×C₈₃	C₂³	1	4	yes	complemented
394	#124×C₈₃	C₂³	1	2	yes	complemented
395	#124×C₈₃	C₂³	1	4	yes	complemented
396	#123×C₈₃	C₂³	1	8	yes	—
397	#123×C₈₃	C₂³	1	4	yes	—
398	C₂²⋊Q₈×C₈₃	C₂³	1	4	yes	—
399	C₂²⋊Q₈×C₈₃	C₂³	1	4	yes	—
400	C₂²⋊Q₈×C₈₃	C₂³	1	4	yes	—
401	#121×C₈₃	C₂³	1	4	yes	—
402	#121×C₈₃	C₂³	1	4	yes	—
403	#121×C₈₃	C₂³	1	4	yes	—
404	#120×C₈₃	C₂³	1	4	yes	—
405	C₄×Q₈×C₈₃	C₂³	1	4	yes	complemented
406	C₄×Q₈×C₈₃	C₂³	1	4	yes	complemented
407	C₄×Q₈×C₈₃	C₂³	1	4	yes	complemented
408	C₄×D₄×C₈₃	C₂³	1	8	yes	—
409	C₄×D₄×C₈₃	C₂³	1	8	yes	—
410	C₄×D₄×C₈₃	C₂³	1	8	yes	—
411	C₄×D₄×C₈₃	C₂³	1	4	yes	complemented
412	C₄×D₄×C₈₃	C₂³	1	4	yes	complemented
413	C₄×D₄×C₈₃	C₂³	1	4	yes	complemented
414	#117×C₈₃	C₂³	1	4	yes	—
415	#117×C₈₃	C₂³	1	2	yes	—
416	#117×C₈₃	C₂³	1	8	yes	complemented
417	#117×C₈₃	C₂³	1	4	yes	complemented
418	C₂×C₄²×C₈₃	C₂³	1	1	yes	characteristic
419	C₂×C₄²×C₈₃	C₂³	1	2	yes	—
420	C₂×C₄²×C₈₃	C₂³	1	2	yes	—
421	C₂×C₄²×C₈₃	C₂³	1	2	yes	—
422	C₂×C₄²×C₈₃	C₂³	1	2	yes	—
423	C₂×C₄²×C₈₃	C₂³	1	1	yes	characteristic
424	C₂×C₄²×C₈₃	C₂³	1	2	yes	—
425	C₂×C₄²×C₈₃	C₂³	1	4	yes	complemented
426	C₂³×D₈₃	—	2	4	no	—
427	C₂³×D₈₃	—	4	4	no	—
428	C₂³×D₈₃	C₂⁴	1	4	yes	—
429	C₂³×D₈₃	C₂⁴	1	1	yes	characteristic
430	C₂³×D₈₃	C₂⁴	1	4	yes	—
431	C₂³×D₈₃	C₂⁴	1	1	yes	characteristic
432	#13050591	—	2	8	no	—
433	#13050590	—	2	8	no	—
434	#13050590	—	2	16	no	—
435	#13050590	—	4	8	no	—
436	#13050589	—	2	16	no	—
437	#13050589	—	2	8	no	—
438	#13050589	—	4	16	no	—
439	C₂×Dic₁₆₆	C₂⁴	1	4	yes	—
440	C₂×Dic₁₆₆	C₂⁴	1	2	yes	—
441	C₂×Dic₁₆₆	C₂⁴	1	8	yes	—
442	C₂×Dic₁₆₆	C₂⁴	1	4	yes	—
443	Q₈×D₈₃	—	2	8	no	—
444	C₂×D₃₃₂	C₂⁴	1	4	yes	—
445	C₂×D₃₃₂	C₂⁴	1	2	yes	—
446	C₂×D₃₃₂	C₂⁴	1	8	yes	—
447	C₂×D₃₃₂	C₂⁴	1	4	yes	—
448	C₂×C₂²⋊D₈₃	C₂⁴	1	4	yes	—
449	C₂×C₂²⋊D₈₃	C₂⁴	1	4	yes	—
450	C₂×C₂²⋊D₈₃	C₂⁴	1	8	yes	—
451	C₂×C₂²⋊D₈₃	C₂⁴	1	4	yes	—
452	C₂×C₂²⋊D₈₃	C₂⁴	1	8	yes	—
453	C₂×C₂²⋊D₈₃	C₂⁴	1	8	yes	—
454	D₄×D₈₃	—	2	16	no	—
455	D₄×D₈₃	—	2	8	no	—
456	D₄×D₈₃	—	4	16	no	—
457	C₂²×Dic₈₃	—	2	4	no	—
458	C₂²×Dic₈₃	—	4	4	no	—
459	C₂²×Dic₈₃	C₂⁴	1	4	yes	—
460	C₂²×Dic₈₃	C₂⁴	1	4	yes	—
461	C₂²×Dic₈₃	C₂⁴	1	1	yes	characteristic
462	C₂²×Dic₈₃	C₂⁴	1	4	yes	—
463	C₂²×Dic₈₃	C₂⁴	1	2	yes	—
464	C₂²×Dic₈₃	C₂⁴	1	4	yes	—
465	C₂²×Dic₈₃	C₂⁴	1	8	yes	—
466	C₂²×Dic₈₃	C₂⁴	1	2	yes	—
467	C₂²×Dic₈₃	C₂⁴	1	1	yes	characteristic
468	C₂×C₄×D₈₃	—	2	4	no	—
469	C₂×C₄×D₈₃	—	2	4	no	—
470	C₂×C₄×D₈₃	—	2	4	no	—
471	C₂×C₄×D₈₃	—	2	16	no	—
472	C₂×C₄×D₈₃	—	2	16	no	—
473	C₂×C₄×D₈₃	—	2	16	no	—
474	C₂×C₄×D₈₃	#41	1	8	yes	complemented
475	C₂×C₄×D₈₃	C₂⁴	1	2	yes	—
476	C₂×C₄×D₈₃	C₂⁴	1	4	yes	—
477	C₂×C₄×D₈₃	C₂⁴	1	4	yes	—
478	C₂×C₄×D₈₃	C₂⁴	1	4	yes	—
479	C₂×C₄×D₈₃	C₂⁴	1	4	yes	—
480	C₂×C₄×D₈₃	C₂⁴	1	2	yes	—
481	C₂×C₄×D₈₃	C₂⁴	1	4	yes	—
482	C₂×C₄×D₈₃	C₂⁴	1	8	yes	—
483	C₂×C₄×D₈₃	C₂⁴	1	8	yes	—
484	C₂×C₄×D₈₃	C₂⁴	1	8	yes	—
485	C₂×C₄×D₈₃	C₂⁴	1	2	yes	—
486	C₂×C₄×D₈₃	C₂⁴	1	2	yes	—
487	C₄⋊Dic₈₃	C₂⁴	1	4	yes	—
488	C₄⋊Dic₈₃	C₂⁴	1	8	yes	—
489	C₄⋊Dic₈₃	C₂⁴	1	4	yes	—
490	C₄⋊Dic₈₃	C₂⁴	1	4	yes	—
491	C₄⋊Dic₈₃	C₂⁴	1	8	yes	—
492	C₄⋊Dic₈₃	C₂⁴	1	8	yes	—
493	Dic₈₃⋊C₄	C₂⁴	1	8	yes	—
494	Dic₈₃⋊C₄	C₂⁴	1	8	yes	—
495	Dic₈₃⋊C₄	C₂⁴	1	8	yes	—
496	Dic₈₃⋊C₄	C₂⁴	1	8	yes	—
497	Dic₈₃⋊C₄	C₂⁴	1	4	yes	—
498	Dic₈₃⋊C₄	C₂⁴	1	8	yes	—
499	Dic₈₃⋊C₄	C₂⁴	1	4	yes	—
500	Dic₈₃⋊C₄	C₂⁴	1	8	yes	—
501	Dic₈₃⋊C₄	C₂⁴	1	4	yes	—
502	Dic₈₃⋊C₄	C₂⁴	1	8	yes	—
503	Dic₈₃⋊C₄	C₂⁴	1	4	yes	—
504	Dic₈₃⋊C₄	C₂⁴	1	8	yes	—
505	Dic₈₃⋊C₄	C₂⁴	1	4	yes	—
506	Dic₈₃⋊C₄	C₂⁴	1	8	yes	—
507	Dic₈₃⋊C₄	C₂⁴	1	4	yes	—
508	Dic₈₃⋊C₄	C₂⁴	1	4	yes	—
509	Dic₈₃⋊C₄	C₂⁴	1	4	yes	—
510	C₂²⋊Dic₈₃	C₂⁴	1	4	yes	—
511	C₂²⋊Dic₈₃	C₂⁴	1	8	yes	—
512	C₂²⋊Dic₈₃	C₂⁴	1	8	yes	—
513	C₂²⋊Dic₈₃	C₂⁴	1	8	yes	—
514	C₂²⋊Dic₈₃	C₂⁴	1	8	yes	—
515	(C₂×D₈₃)⋊C₄	C₂⁴	1	4	yes	—
516	(C₂×D₈₃)⋊C₄	C₂⁴	1	8	yes	—
517	(C₂×D₈₃)⋊C₄	C₂⁴	1	8	yes	—
518	(C₂×D₈₃)⋊C₄	C₂⁴	1	8	yes	—
519	(C₂×D₈₃)⋊C₄	C₂⁴	1	8	yes	—
520	(C₂×D₈₃)⋊C₄	C₂⁴	1	4	yes	—
521	(C₂×D₈₃)⋊C₄	C₂⁴	1	8	yes	—
522	(C₂×D₈₃)⋊C₄	C₂⁴	1	4	yes	—
523	(C₂×D₈₃)⋊C₄	C₂⁴	1	8	yes	—
524	(C₂×D₈₃)⋊C₄	C₂⁴	1	8	yes	—
525	(C₂×D₈₃)⋊C₄	C₂⁴	1	4	yes	—
526	(C₂×D₈₃)⋊C₄	C₂⁴	1	8	yes	—
527	(C₂×D₈₃)⋊C₄	C₂⁴	1	4	yes	—
528	(C₂×D₈₃)⋊C₄	C₂⁴	1	8	yes	—
529	(C₂×D₈₃)⋊C₄	C₂⁴	1	4	yes	—
530	(C₂×D₈₃)⋊C₄	C₂⁴	1	4	yes	—
531	(C₂×D₈₃)⋊C₄	C₂⁴	1	4	yes	—
532	C₄×Dic₈₃	C₂⁴	1	8	yes	—
533	C₄×Dic₈₃	C₂⁴	1	8	yes	—
534	C₄×Dic₈₃	C₂⁴	1	4	yes	—
535	C₄×Dic₈₃	C₂⁴	1	2	yes	—
536	C₄×Dic₈₃	C₂⁴	1	8	yes	—
537	C₄×Dic₈₃	C₂⁴	1	8	yes	—
538	C₄×Dic₈₃	C₂⁴	1	4	yes	—
539	C₄×Dic₈₃	C₂⁴	1	4	yes	—
540	C₄×Dic₈₃	C₂⁴	1	2	yes	—
541	C₄×Dic₈₃	C₂⁴	1	2	yes	—
542	C₄×Dic₈₃	C₂⁴	1	2	yes	—
543	C₂⁴×C₈₃	C₂⁴	1	1	yes	characteristic
544	#41×C₈₃	—	2	8	no	—
545	#41×C₈₃	—	4	8	no	—
546	C₂×Q₈×C₈₃	C₂⁴	1	2	yes	—
547	C₂×Q₈×C₈₃	C₂⁴	1	4	yes	—
548	C₂×D₄×C₈₃	C₂⁴	1	4	yes	—
549	C₂×D₄×C₈₃	C₂⁴	1	8	yes	—
550	C₂×D₄×C₈₃	C₂⁴	1	2	yes	—
551	C₂×D₄×C₈₃	C₂⁴	1	4	yes	—
552	C₂²×C₄×C₈₃	—	2	4	no	—
553	C₂²×C₄×C₈₃	—	4	4	no	—
554	C₂²×C₄×C₈₃	C₂⁴	1	2	yes	—
555	C₂²×C₄×C₈₃	C₂⁴	1	1	yes	characteristic
556	C₂²×C₄×C₈₃	C₂⁴	1	2	yes	—
557	C₂²×C₄×C₈₃	C₂⁴	1	2	yes	—
558	C₂²×C₄×C₈₃	C₂⁴	1	4	yes	—
559	C₂²×C₄×C₈₃	C₂⁴	1	2	yes	—
560	C₂²×C₄×C₈₃	C₂⁴	1	2	yes	—
561	C₂²×C₄×C₈₃	C₂⁴	1	2	yes	—
562	C₂²×C₄×C₈₃	C₂⁴	1	8	yes	—
563	C₂²×C₄×C₈₃	C₂⁴	1	2	yes	—
564	C₂²×C₄×C₈₃	C₂⁴	1	2	yes	—
565	C₂²×C₄×C₈₃	C₂⁴	1	1	yes	characteristic
566	C₄⋊C₄×C₈₃	C₂⁴	1	8	yes	—
567	C₄⋊C₄×C₈₃	C₂⁴	1	4	yes	—
568	C₄⋊C₄×C₈₃	C₂⁴	1	4	yes	—
569	C₄⋊C₄×C₈₃	C₂⁴	1	8	yes	—
570	C₄⋊C₄×C₈₃	C₂⁴	1	4	yes	—
571	C₄⋊C₄×C₈₃	C₂⁴	1	8	yes	—
572	C₂²⋊C₄×C₈₃	C₂⁴	1	8	yes	—
573	C₂²⋊C₄×C₈₃	C₂⁴	1	4	yes	—
574	C₂²⋊C₄×C₈₃	C₂⁴	1	8	yes	—
575	C₂²⋊C₄×C₈₃	C₂⁴	1	8	yes	—
576	C₂²⋊C₄×C₈₃	C₂⁴	1	8	yes	—
577	C₄²×C₈₃	C₂⁴	1	8	yes	—
578	C₄²×C₈₃	C₂⁴	1	2	yes	—
579	C₄²×C₈₃	C₂⁴	1	1	yes	characteristic
580	C₄²×C₈₃	C₂⁴	1	2	yes	—
581	C₄²×C₈₃	C₂⁴	1	1	yes	characteristic
582	C₄²×C₈₃	C₂⁴	1	1	yes	characteristic
583	C₄²×C₈₃	C₂⁴	1	1	yes	characteristic
584	C₄²×C₈₃	C₂⁴	1	2	yes	—
585	C₄²×C₈₃	C₂⁴	1	2	yes	—
586	C₄²×C₈₃	C₂⁴	1	2	yes	—
587	C₄²×C₈₃	C₂⁴	1	2	yes	—
588	C₄²×C₈₃	C₂⁴	1	4	yes	—
589	C₂³×C₈₃	—	2	2	no	—
590	C₂³×C₈₃	—	2	4	no	—
591	C₂³×C₈₃	C₂⁵	1	4	yes	—
592	C₂³×C₈₃	C₂⁵	1	1	yes	characteristic
593	C₂³×C₈₃	C₂⁵	1	2	yes	—
594	C₂²×D₈₃	—	2	2	no	—
595	C₂²×D₈₃	—	2	8	no	—
596	C₂²×D₈₃	—	2	8	no	—
597	C₂²×D₈₃	—	2	8	no	—
598	C₂²×D₈₃	—	4	2	no	—
599	C₂²×D₈₃	—	4	4	no	—
600	C₂²×D₈₃	—	4	2	no	—
601	C₂²×D₈₃	—	4	8	no	—
602	C₂²×D₈₃	—	4	16	no	—
603	C₂²×D₈₃	C₂×#41	1	4	yes	—
604	C₂²×D₈₃	C₂⁵	1	2	yes	—
605	C₂²×D₈₃	C₂⁵	1	4	yes	—
606	C₂²×D₈₃	C₂⁵	1	2	yes	—
607	Q₈×C₈₃	—	2	4	no	—
608	Q₈×C₈₃	—	4	4	no	—
609	D₄×C₈₃	—	2	8	no	—
610	D₄×C₈₃	—	2	16	no	—
611	D₄×C₈₃	—	2	4	no	—
612	D₄×C₈₃	—	4	4	no	—
613	C₂×C₄×C₈₃	—	2	2	no	—
614	C₂×C₄×C₈₃	—	2	4	no	—
615	C₂×C₄×C₈₃	—	2	4	no	—
616	C₂×C₄×C₈₃	—	2	4	no	—
617	C₂×C₄×C₈₃	—	2	4	no	—
618	C₂×C₄×C₈₃	—	2	8	no	—
619	C₂×C₄×C₈₃	—	4	2	no	—
620	C₂×C₄×C₈₃	—	4	2	no	—
621	C₂×C₄×C₈₃	—	4	2	no	—
622	C₂×C₄×C₈₃	—	4	2	no	—
623	C₂×C₄×C₈₃	—	4	8	no	—
624	C₂×C₄×C₈₃	C₂×#41	1	4	yes	—
625	C₂×C₄×C₈₃	C₂⁵	1	2	yes	—
626	C₂×C₄×C₈₃	C₂⁵	1	2	yes	—
627	C₂×C₄×C₈₃	C₂⁵	1	2	yes	—
628	C₂×C₄×C₈₃	C₂⁵	1	2	yes	—
629	C₂×C₄×C₈₃	C₂⁵	1	2	yes	—
630	C₂×C₄×C₈₃	C₂⁵	1	4	yes	—
631	C₂×C₄×C₈₃	C₂⁵	1	8	yes	—
632	C₂×C₄×C₈₃	C₂⁵	1	1	yes	characteristic
633	C₂×C₄×C₈₃	C₂⁵	1	1	yes	characteristic
634	C₂²⋊D₈₃	—	2	8	no	—
635	C₂²⋊D₈₃	—	2	16	no	—
636	C₂²⋊D₈₃	—	2	8	no	—
637	C₂²⋊D₈₃	—	2	8	no	—
638	C₂²⋊D₈₃	—	4	8	no	—
639	C₂²⋊D₈₃	—	4	8	no	—
640	C₂×Dic₈₃	—	2	2	no	—
641	C₂×Dic₈₃	—	2	8	no	—
642	C₂×Dic₈₃	—	2	8	no	—
643	C₂×Dic₈₃	—	2	8	no	—
644	C₂×Dic₈₃	—	4	2	no	—
645	C₂×Dic₈₃	—	4	4	no	—
646	C₂×Dic₈₃	—	4	2	no	—
647	C₂×Dic₈₃	—	4	8	no	—
648	C₂×Dic₈₃	C₂×#41	1	4	yes	—
649	C₂×Dic₈₃	C₂⁵	1	4	yes	—
650	C₂×Dic₈₃	C₂⁵	1	4	yes	—
651	C₂×Dic₈₃	C₂⁵	1	4	yes	—
652	C₂×Dic₈₃	C₂⁵	1	8	yes	—
653	C₂×Dic₈₃	C₂⁵	1	2	yes	—
654	C₂×Dic₈₃	C₂⁵	1	2	yes	—
655	D₃₃₂	—	2	8	no	—
656	D₃₃₂	—	2	4	no	—
657	D₃₃₂	—	4	8	no	—
658	D₃₃₂	—	4	4	no	—
659	C₄×D₈₃	—	2	8	no	—
660	C₄×D₈₃	—	2	8	no	—
661	C₄×D₈₃	—	2	4	no	—
662	C₄×D₈₃	—	2	4	no	—
663	C₄×D₈₃	—	2	8	no	—
664	C₄×D₈₃	—	2	8	no	—
665	C₄×D₈₃	—	2	8	no	—
666	C₄×D₈₃	—	4	8	no	—
667	C₄×D₈₃	—	4	8	no	—
668	C₄×D₈₃	—	4	8	no	—
669	C₄×D₈₃	C₂×#41	1	8	yes	—
670	C₄×D₈₃	C₂×#41	1	8	yes	—
671	Dic₁₆₆	—	2	4	no	—
672	Dic₁₆₆	—	2	8	no	—
673	Dic₁₆₆	—	4	8	no	—
674	Dic₁₆₆	—	4	4	no	—
675	C₂²×C₈₃	—	2	8	no	—
676	C₂²×C₈₃	—	2	2	no	—
677	C₂²×C₈₃	—	2	2	no	—
678	C₂²×C₈₃	—	2	2	no	—
679	C₂²×C₈₃	—	2	4	no	—
680	C₂²×C₈₃	—	2	8	no	—
681	C₂²×C₈₃	C₂²×#41	1	2	yes	—
682	C₂²×C₈₃	#585	1	4	yes	—
683	C₂²×C₈₃	C₂⁶	1	1	yes	characteristic
684	C₂×D₈₃	—	2	4	no	—
685	C₂×D₈₃	—	2	2	no	—
686	C₂×D₈₃	—	2	4	no	—
687	C₂×D₈₃	—	2	8	no	—
688	C₂×D₈₃	—	2	4	no	—
689	C₂×D₈₃	—	4	4	no	—
690	C₂×D₈₃	—	4	16	no	—
691	C₂×D₈₃	—	4	4	no	—
692	C₂×D₈₃	—	8	8	no	—
693	C₂×D₈₃	C₂²×#41	1	4	yes	—
694	C₄×C₈₃	—	2	4	no	—
695	C₄×C₈₃	—	2	2	no	—
696	C₄×C₈₃	—	2	2	no	—
697	C₄×C₈₃	—	2	8	no	—
698	C₄×C₈₃	—	2	2	no	—
699	C₄×C₈₃	—	2	2	no	—
700	C₄×C₈₃	—	2	2	no	—
701	C₄×C₈₃	C₂²×#41	1	2	yes	—
702	C₄×C₈₃	C₂²×#41	1	2	yes	—
703	Dic₈₃	—	2	4	no	—
704	Dic₈₃	—	2	2	no	—
705	Dic₈₃	—	2	8	no	—
706	Dic₈₃	—	2	4	no	—
707	Dic₈₃	—	2	4	no	—
708	Dic₈₃	C₂²×#41	1	4	yes	—
709	#62814	—	83	1	no	maximal, Sylow
710	C₂×C₈₃	—	2	2	no	—
711	C₂×C₈₃	—	2	4	no	—
712	C₂×C₈₃	—	4	4	no	—
713	C₂×C₈₃	C₂³×#41	1	1	yes	characteristic
714	C₂×C₈₃	C₂×#585	1	2	yes	—
715	D₈₃	—	2	4	no	—
716	D₈₃	—	4	2	no	—
717	D₈₃	—	4	4	no	—
718	#3495	—	83	4	no	—
719	#3495	—	83	4	no	—
720	#3494	—	83	4	no	—
721	#3494	—	83	4	no	—
722	#3493	—	83	4	no	—
723	#3492	—	83	4	no	—
724	#3491	—	83	4	no	—
725	#3490	—	83	4	no	—
726	#3475	—	83	8	no	—
727	#3475	—	83	8	no	—
728	#3458	—	83	1	no	—
729	#3455	—	83	1	no	—
730	#3455	—	83	1	no	—
731	#3455	—	83	2	no	—
732	#3449	—	83	1	no	—
733	#3444	—	83	1	no	—
734	#3444	—	83	2	no	—
735	#3444	D₈₃	1	1	yes	characteristic, complemented
736	C₂×#525	—	83	2	no	—
737	#3428	—	83	2	no	—
738	C₂²×#117	—	83	1	no	—
739	C₈₃	#62814	1	1	yes	characteristic, complemented, Sylow
740	C₂²×#41	—	83	2	no	—
741	C₂⁴×C₄	—	83	1	no	—
742	#556	—	83	8	no	—
743	#556	—	83	8	no	—
744	#555	—	83	8	no	—
745	#555	—	83	8	no	—
746	#554	—	83	8	no	—
747	#554	—	83	8	no	—
748	#553	—	83	8	no	—
749	#553	—	83	8	no	—
750	#553	—	83	8	no	—
751	#553	—	83	8	no	—
752	#552	—	83	8	no	—
753	#552	—	83	8	no	—
754	#552	—	83	8	no	—
755	#552	—	83	8	no	—
756	#552	—	83	8	no	—
757	#552	—	83	8	no	—
758	#552	—	83	8	no	—
759	#552	—	83	8	no	—
760	#551	—	83	8	no	—
761	#551	—	83	8	no	—
762	#551	—	83	8	no	—
763	#551	—	83	8	no	—
764	#551	—	83	8	no	—
765	#551	—	83	8	no	—
766	#551	—	83	8	no	—
767	#551	—	83	8	no	—
768	#547	—	83	8	no	—
769	#547	—	83	8	no	—
770	#546	—	83	8	no	—
771	#546	—	83	8	no	—
772	#546	—	83	8	no	—
773	#546	—	83	8	no	—
774	#544	—	83	4	no	—
775	#544	—	83	4	no	—
776	#544	—	83	4	no	—
777	#543	—	83	4	no	—
778	#542	—	83	4	no	—
779	#542	—	83	4	no	—
780	#542	—	83	4	no	—
781	#542	—	83	4	no	—
782	#541	—	83	2	no	—
783	#541	—	83	2	no	—
784	#541	—	83	4	no	—
785	#540	—	83	2	no	—
786	#540	—	83	2	no	—
787	#540	—	83	4	no	—
788	#539	—	83	4	no	—
789	#539	—	83	4	no	—
790	#539	—	83	8	no	—
791	#538	—	83	4	no	—
792	#538	—	83	4	no	—
793	#538	—	83	8	no	—
794	#537	—	83	4	no	—
795	#536	—	83	2	no	—
796	#536	—	83	2	no	—
797	#535	—	83	2	no	—
798	#535	—	83	2	no	—
799	#534	—	83	4	no	—
800	#533	—	83	4	no	—
801	#533	—	83	8	no	—
802	#533	—	83	2	no	—
803	#533	—	83	1	no	—
804	#533	—	83	2	no	—
805	#533	C₂×D₈₃	1	1	yes	characteristic, complemented
806	#533	C₂×D₈₃	1	2	yes	complemented
807	#532	—	83	2	no	—
808	#532	—	83	4	no	—
809	#532	—	83	1	no	—
810	#532	—	83	2	no	—
811	#532	C₂×D₈₃	1	1	yes	characteristic, complemented
812	#532	C₂×D₈₃	1	2	yes	complemented
813	#529	—	83	8	no	—
814	#529	—	83	4	no	—
815	#529	—	83	4	no	—
816	#529	—	83	8	no	—
817	#529	—	83	8	no	—
818	#529	—	83	8	no	—
819	#529	—	83	8	no	—
820	#529	—	83	4	no	—
821	#529	—	83	4	no	—
822	#529	—	83	4	no	—
823	#529	—	83	8	no	—
824	#529	C₂×D₈₃	1	4	yes	complemented
825	#529	C₂×D₈₃	1	4	yes	complemented
826	#529	C₂×D₈₃	1	4	yes	complemented
827	#525	—	83	2	no	—
828	#525	—	83	2	no	—
829	#525	—	83	4	no	—
830	#525	—	83	4	no	—
831	#525	—	83	4	no	—
832	#525	—	83	4	no	—
833	#525	—	83	4	no	—
834	#525	—	83	8	no	—
835	#525	—	83	8	no	—
836	#525	—	83	8	no	—
837	#525	—	83	2	no	—
838	#525	C₂×D₈₃	1	2	yes	complemented
839	#525	C₂×D₈₃	1	4	yes	complemented
840	C₂×#123	—	83	4	no	—
841	C₂×C₂²⋊Q₈	—	83	4	no	—
842	C₂×#121	—	83	4	no	—
843	C₂×#120	—	83	4	no	—
844	#520	—	83	4	no	—
845	#520	—	83	8	no	—
846	#520	—	83	4	no	—
847	#519	—	83	4	no	—
848	#518	—	83	8	no	—
849	#518	—	83	4	no	—
850	C₄×#41	—	83	2	no	—
851	C₄×#41	—	83	8	no	—
852	C₄×#41	—	83	2	no	—
853	C₄×#41	—	83	4	no	—
854	C₄×#41	—	83	2	no	—
855	C₄×#41	—	83	4	no	—
856	C₄×#41	—	83	4	no	—
857	C₄×#41	C₂×D₈₃	1	2	yes	complemented
858	C₄×#41	C₂×D₈₃	1	4	yes	complemented
859	C₂×C₄×D₄	—	83	8	no	—
860	C₂×#117	—	83	2	no	—
861	C₂×#117	—	83	4	no	—
862	C₂×#117	—	83	1	no	—
863	C₂×#117	—	83	1	no	—
864	C₂×#117	—	83	2	no	—
865	C₂×#117	—	83	1	no	—
866	C₂×#117	—	83	1	no	—
867	C₂×#117	—	83	4	no	—
868	C₂×#117	—	83	4	no	—
869	C₂×#117	—	83	2	no	—
870	C₂×#117	—	83	4	no	—
871	C₂×#117	—	83	4	no	—
872	C₂×#117	—	83	4	no	—
873	C₂²×C₄⋊C₄	—	83	2	no	—
874	C₂²×C₂²⋊C₄	—	83	2	no	—
875	C₂²×C₄²	—	83	1	no	—
876	C₂²×C₄²	C₂×D₈₃	1	1	yes	characteristic, complemented
877	C₂⁵	—	83	1	no	—
878	C₂×#41	—	83	2	no	—
879	C₂×#41	—	83	8	no	—
880	C₂×#41	—	83	2	no	—
881	C₂×#41	—	83	4	no	—
882	C₂×#41	—	83	4	no	—
883	C₂×#41	—	83	4	no	—
884	C₂×#41	—	83	2	no	—
885	C₂×#41	—	166	16	no	—
886	C₂×#41	C₂²×D₈₃	1	2	yes	—
887	C₂×#41	C₂²×D₈₃	1	4	yes	—
888	C₂²×Q₈	—	83	2	no	—
889	C₂²×D₄	—	83	8	no	—
890	C₂²×D₄	—	83	4	no	—
891	C₂²×D₄	—	83	2	no	—
892	C₂³×C₄	—	83	2	no	—
893	C₂³×C₄	—	83	1	no	—
894	C₂³×C₄	—	83	1	no	—
895	C₂³×C₄	—	83	4	no	—
896	C₂³×C₄	—	83	4	no	—
897	C₂³×C₄	—	83	4	no	—
898	C₂³×C₄	—	83	1	no	—
899	C₂³×C₄	—	83	1	no	—
900	C₂³×C₄	—	83	1	no	—
901	C₂³×C₄	—	166	8	no	—
902	C₂³×C₄	C₂²×D₈₃	1	1	yes	characteristic
903	C₂³×C₄	C₂²×D₈₃	1	2	yes	—
904	C₄⋊Q₈	—	83	2	no	—
905	C₄⋊Q₈	—	83	8	no	—
906	C₄⋊Q₈	—	83	4	no	—
907	C₄⋊Q₈	—	83	8	no	—
908	C₄⋊Q₈	—	83	1	no	—
909	C₄⋊Q₈	—	83	2	no	—
910	C₄⋊Q₈	C₂²×D₈₃	1	1	yes	characteristic, complemented
911	C₄⋊Q₈	C₂²×D₈₃	1	2	yes	complemented
912	#127	—	83	2	no	—
913	#127	—	83	1	no	—
914	#127	C₂²×D₈₃	1	1	yes	characteristic, complemented
915	#126	—	83	8	no	—
916	#126	—	83	8	no	—
917	#126	—	83	8	no	—
918	#126	—	83	8	no	—
919	#126	—	83	8	no	—
920	#126	—	83	8	no	—
921	#126	—	83	8	no	—
922	#126	—	83	8	no	—
923	#126	—	83	8	no	—
924	#126	—	83	8	no	—
925	#126	—	83	8	no	—
926	#126	C₂²×D₈₃	1	8	yes	complemented
927	#125	—	83	8	no	—
928	#125	—	83	4	no	—
929	#125	—	83	8	no	—
930	#125	—	83	8	no	—
931	#125	—	83	8	no	—
932	#125	—	83	8	no	—
933	#125	—	83	8	no	—
934	#125	—	83	2	no	—
935	#125	—	83	4	no	—
936	#125	—	83	8	no	—
937	#125	C₂²×D₈₃	1	2	yes	complemented
938	#125	C₂²×D₈₃	1	4	yes	complemented
939	#124	—	83	2	no	—
940	#124	—	83	8	no	—
941	#124	—	83	2	no	—
942	#124	—	83	8	no	—
943	#124	—	83	8	no	—
944	#124	—	83	8	no	—
945	#124	—	83	2	no	—
946	#124	—	83	4	no	—
947	#124	—	83	8	no	—
948	#124	C₂²×D₈₃	1	2	yes	complemented
949	#124	C₂²×D₈₃	1	4	yes	complemented
950	#123	—	83	4	no	—
951	#123	—	83	8	no	—
952	#123	—	83	8	no	—
953	#123	—	83	4	no	—
954	#123	—	83	8	no	—
955	#123	—	83	8	no	—
956	#123	—	83	8	no	—
957	#123	—	83	8	no	—
958	#123	—	83	8	no	—
959	#123	—	83	8	no	—
960	#123	—	83	8	no	—
961	#123	—	83	8	no	—
962	#123	—	83	8	no	—
963	#123	—	83	4	no	—
964	#123	—	83	8	no	—
965	#123	—	83	8	no	—
966	#123	—	83	8	no	—
967	#123	—	83	8	no	—
968	#123	C₂²×D₈₃	1	4	yes	—
969	#123	C₂²×D₈₃	1	8	yes	—
970	C₂²⋊Q₈	—	83	4	no	—
971	C₂²⋊Q₈	—	83	8	no	—
972	C₂²⋊Q₈	—	83	8	no	—
973	C₂²⋊Q₈	—	83	4	no	—
974	C₂²⋊Q₈	—	83	4	no	—
975	C₂²⋊Q₈	—	83	4	no	—
976	C₂²⋊Q₈	—	83	8	no	—
977	C₂²⋊Q₈	—	83	8	no	—
978	C₂²⋊Q₈	—	83	8	no	—
979	C₂²⋊Q₈	—	83	8	no	—
980	C₂²⋊Q₈	—	83	8	no	—
981	C₂²⋊Q₈	—	83	8	no	—
982	C₂²⋊Q₈	—	83	4	no	—
983	C₂²⋊Q₈	—	83	8	no	—
984	C₂²⋊Q₈	—	83	8	no	—
985	C₂²⋊Q₈	—	83	8	no	—
986	C₂²⋊Q₈	—	83	8	no	—
987	C₂²⋊Q₈	—	83	8	no	—
988	C₂²⋊Q₈	—	83	8	no	—
989	C₂²⋊Q₈	C₂²×D₈₃	1	4	yes	—
990	C₂²⋊Q₈	C₂²×D₈₃	1	4	yes	—
991	C₂²⋊Q₈	C₂²×D₈₃	1	4	yes	—
992	#121	—	83	4	no	—
993	#121	—	83	8	no	—
994	#121	—	83	8	no	—
995	#121	—	83	8	no	—
996	#121	—	83	8	no	—
997	#121	—	83	8	no	—
998	#121	—	83	4	no	—
999	#121	—	83	4	no	—
1000	#121	—	83	4	no	—
1001	#121	—	83	8	no	—
1002	#121	—	83	4	no	—
1003	#121	—	83	8	no	—
1004	#121	—	83	8	no	—
1005	#121	—	83	8	no	—
1006	#121	—	83	8	no	—
1007	#121	C₂²×D₈₃	1	4	yes	—
1008	#121	C₂²×D₈₃	1	4	yes	—
1009	#121	C₂²×D₈₃	1	4	yes	—
1010	#120	—	83	4	no	—
1011	#120	—	83	4	no	—
1012	#120	—	83	8	no	—
1013	#120	—	83	8	no	—
1014	#120	—	83	4	no	—
1015	#120	—	83	8	no	—
1016	#120	—	83	8	no	—
1017	#120	C₂²×D₈₃	1	4	yes	—
1018	C₄×Q₈	—	83	4	no	—
1019	C₄×Q₈	—	83	4	no	—
1020	C₄×Q₈	—	83	8	no	—
1021	C₄×Q₈	—	83	8	no	—
1022	C₄×Q₈	—	83	4	no	—
1023	C₄×Q₈	—	83	8	no	—
1024	C₄×Q₈	—	83	8	no	—
1025	C₄×Q₈	—	83	4	no	—
1026	C₄×Q₈	—	83	4	no	—
1027	C₄×Q₈	C₂²×D₈₃	1	4	yes	complemented
1028	C₄×Q₈	C₂²×D₈₃	1	4	yes	complemented
1029	C₄×Q₈	C₂²×D₈₃	1	4	yes	complemented
1030	C₄×D₄	—	83	8	no	—
1031	C₄×D₄	—	83	8	no	—
1032	C₄×D₄	—	83	4	no	—
1033	C₄×D₄	—	83	8	no	—
1034	C₄×D₄	—	83	8	no	—
1035	C₄×D₄	—	83	8	no	—
1036	C₄×D₄	—	83	8	no	—
1037	C₄×D₄	—	83	8	no	—
1038	C₄×D₄	—	83	8	no	—
1039	C₄×D₄	—	83	8	no	—
1040	C₄×D₄	—	83	8	no	—
1041	C₄×D₄	—	83	8	no	—
1042	C₄×D₄	—	83	4	no	—
1043	C₄×D₄	—	83	8	no	—
1044	C₄×D₄	—	83	8	no	—
1045	C₄×D₄	—	83	8	no	—
1046	C₄×D₄	—	83	8	no	—
1047	C₄×D₄	—	83	8	no	—
1048	C₄×D₄	—	83	8	no	—
1049	C₄×D₄	—	83	8	no	—
1050	C₄×D₄	—	83	8	no	—
1051	C₄×D₄	—	83	8	no	—
1052	C₄×D₄	—	83	4	no	—
1053	C₄×D₄	—	83	8	no	—
1054	C₄×D₄	—	83	4	no	—
1055	C₄×D₄	—	83	4	no	—
1056	C₄×D₄	C₂²×D₈₃	1	8	yes	—
1057	C₄×D₄	C₂²×D₈₃	1	8	yes	—
1058	C₄×D₄	C₂²×D₈₃	1	8	yes	—
1059	C₄×D₄	C₂²×D₈₃	1	4	yes	complemented
1060	C₄×D₄	C₂²×D₈₃	1	4	yes	complemented
1061	C₄×D₄	C₂²×D₈₃	1	4	yes	complemented
1062	#117	—	83	2	no	—
1063	#117	—	83	4	no	—
1064	#117	—	83	4	no	—
1065	#117	—	83	4	no	—
1066	#117	—	83	8	no	—
1067	#117	—	83	8	no	—
1068	#117	—	83	4	no	—
1069	#117	—	83	8	no	—
1070	#117	—	83	8	no	—
1071	#117	—	83	8	no	—
1072	#117	—	83	2	no	—
1073	#117	—	83	2	no	—
1074	#117	—	83	4	no	—
1075	#117	—	83	4	no	—
1076	#117	—	83	4	no	—
1077	#117	—	83	4	no	—
1078	#117	—	83	2	no	—
1079	#117	—	83	2	no	—
1080	#117	—	83	2	no	—
1081	#117	—	83	2	no	—
1082	#117	—	83	2	no	—
1083	#117	—	83	2	no	—
1084	#117	—	83	4	no	—
1085	#117	—	83	4	no	—
1086	#117	—	83	4	no	—
1087	#117	—	83	4	no	—
1088	#117	—	83	4	no	—
1089	#117	—	83	4	no	—
1090	#117	—	83	4	no	—
1091	#117	—	83	4	no	—
1092	#117	—	83	4	no	—
1093	#117	—	83	4	no	—
1094	#117	—	83	4	no	—
1095	#117	—	83	8	no	—
1096	#117	—	83	8	no	—
1097	#117	—	83	8	no	—
1098	#117	C₂²×D₈₃	1	2	yes	—
1099	#117	C₂²×D₈₃	1	4	yes	—
1100	#117	C₂²×D₈₃	1	4	yes	complemented
1101	#117	C₂²×D₈₃	1	8	yes	complemented
1102	C₂×C₄⋊C₄	—	83	2	no	—
1103	C₂×C₄⋊C₄	—	83	2	no	—
1104	C₂×C₄⋊C₄	—	83	2	no	—
1105	C₂×C₄⋊C₄	—	83	2	no	—
1106	C₂×C₄⋊C₄	—	83	4	no	—
1107	C₂×C₄⋊C₄	—	83	4	no	—
1108	C₂×C₄⋊C₄	—	83	4	no	—
1109	C₂×C₄⋊C₄	—	83	4	no	—
1110	C₂×C₄⋊C₄	—	83	8	no	—
1111	C₂×C₄⋊C₄	—	83	4	no	—
1112	C₂×C₄⋊C₄	—	83	8	no	—
1113	C₂×C₄⋊C₄	—	83	8	no	—
1114	C₂×C₂²⋊C₄	—	83	2	no	—
1115	C₂×C₂²⋊C₄	—	83	2	no	—
1116	C₂×C₂²⋊C₄	—	83	2	no	—
1117	C₂×C₂²⋊C₄	—	83	2	no	—
1118	C₂×C₂²⋊C₄	—	83	4	no	—
1119	C₂×C₂²⋊C₄	—	83	4	no	—
1120	C₂×C₂²⋊C₄	—	83	4	no	—
1121	C₂×C₂²⋊C₄	—	83	4	no	—
1122	C₂×C₂²⋊C₄	—	83	8	no	—
1123	C₂×C₂²⋊C₄	—	83	4	no	—
1124	C₂×C₂²⋊C₄	—	83	8	no	—
1125	C₂×C₂²⋊C₄	—	83	8	no	—
1126	C₂×C₂²⋊C₄	—	83	8	no	—
1127	C₂×C₄²	—	83	1	no	—
1128	C₂×C₄²	—	83	4	no	—
1129	C₂×C₄²	—	83	2	no	—
1130	C₂×C₄²	—	83	4	no	—
1131	C₂×C₄²	—	83	1	no	—
1132	C₂×C₄²	—	83	4	no	—
1133	C₂×C₄²	—	83	4	no	—
1134	C₂×C₄²	—	83	4	no	—
1135	C₂×C₄²	—	83	4	no	—
1136	C₂×C₄²	C₂²×D₈₃	1	1	yes	characteristic
1137	C₂×C₄²	C₂²×D₈₃	1	2	yes	—
1138	C₂×C₄²	C₂²×D₈₃	1	2	yes	—
1139	C₂×C₄²	C₂²×D₈₃	1	2	yes	—
1140	C₂×C₄²	C₂²×D₈₃	1	2	yes	—
1141	C₂×C₄²	C₂²×D₈₃	1	2	yes	—
1142	C₂×C₄²	C₂²×D₈₃	1	1	yes	characteristic
1143	C₂×C₄²	C₂²×D₈₃	1	4	yes	complemented
1144	C₂⁴	—	332	4	no	—
1145	C₂⁴	—	83	1	no	—
1146	C₂⁴	—	83	4	no	—
1147	C₂⁴	—	83	1	no	—
1148	C₂⁴	—	83	4	no	—
1149	C₂⁴	—	166	4	no	—
1150	C₂⁴	C₂³×D₈₃	1	1	yes	characteristic
1151	#41	—	2	8	no	—
1152	#41	—	4	8	no	—
1153	#41	—	332	8	no	—
1154	#41	—	332	16	no	—
1155	#41	—	166	16	no	—
1156	#41	—	166	16	no	—
1157	#41	—	166	8	no	—
1158	#41	—	166	8	no	—
1159	#41	—	166	8	no	—
1160	C₂×Q₈	—	83	8	no	—
1161	C₂×Q₈	—	83	4	no	—
1162	C₂×Q₈	—	83	4	no	—
1163	C₂×Q₈	—	83	2	no	—
1164	C₂×Q₈	—	166	8	no	—
1165	C₂×Q₈	C₂³×D₈₃	1	2	yes	—
1166	C₂×Q₈	C₂³×D₈₃	1	4	yes	—
1167	C₂×D₄	—	332	16	no	—
1168	C₂×D₄	—	83	8	no	—
1169	C₂×D₄	—	83	8	no	—
1170	C₂×D₄	—	83	4	no	—
1171	C₂×D₄	—	83	4	no	—
1172	C₂×D₄	—	83	8	no	—
1173	C₂×D₄	—	83	4	no	—
1174	C₂×D₄	—	83	8	no	—
1175	C₂×D₄	—	83	4	no	—
1176	C₂×D₄	—	83	4	no	—
1177	C₂×D₄	—	83	2	no	—
1178	C₂×D₄	—	166	8	no	—
1179	C₂×D₄	—	166	16	no	—
1180	C₂×D₄	C₂³×D₈₃	1	4	yes	—
1181	C₂×D₄	C₂³×D₈₃	1	8	yes	—
1182	C₂×D₄	C₂³×D₈₃	1	2	yes	—
1183	C₂×D₄	C₂³×D₈₃	1	4	yes	—
1184	C₂²×C₄	—	2	4	no	—
1185	C₂²×C₄	—	4	4	no	—
1186	C₂²×C₄	—	332	4	no	—
1187	C₂²×C₄	—	83	2	no	—
1188	C₂²×C₄	—	83	4	no	—
1189	C₂²×C₄	—	83	2	no	—
1190	C₂²×C₄	—	83	8	no	—
1191	C₂²×C₄	—	83	8	no	—
1192	C₂²×C₄	—	83	8	no	—
1193	C₂²×C₄	—	83	8	no	—
1194	C₂²×C₄	—	83	1	no	—
1195	C₂²×C₄	—	83	8	no	—
1196	C₂²×C₄	—	83	2	no	—
1197	C₂²×C₄	—	83	2	no	—
1198	C₂²×C₄	—	83	4	no	—
1199	C₂²×C₄	—	83	4	no	—
1200	C₂²×C₄	—	83	1	no	—
1201	C₂²×C₄	—	83	4	no	—
1202	C₂²×C₄	—	83	4	no	—
1203	C₂²×C₄	—	83	4	no	—
1204	C₂²×C₄	—	83	4	no	—
1205	C₂²×C₄	—	83	4	no	—
1206	C₂²×C₄	—	83	2	no	—
1207	C₂²×C₄	—	83	4	no	—
1208	C₂²×C₄	—	83	2	no	—
1209	C₂²×C₄	—	166	4	no	—
1210	C₂²×C₄	—	166	16	no	—
1211	C₂²×C₄	—	166	16	no	—
1212	C₂²×C₄	—	166	16	no	—
1213	C₂²×C₄	—	166	4	no	—
1214	C₂²×C₄	—	166	4	no	—
1215	C₂²×C₄	—	166	4	no	—
1216	C₂²×C₄	C₂³×D₈₃	1	2	yes	—
1217	C₂²×C₄	C₂³×D₈₃	1	1	yes	characteristic
1218	C₂²×C₄	C₂³×D₈₃	1	2	yes	—
1219	C₂²×C₄	C₂³×D₈₃	1	2	yes	—
1220	C₂²×C₄	C₂³×D₈₃	1	2	yes	—
1221	C₂²×C₄	C₂³×D₈₃	1	4	yes	—
1222	C₂²×C₄	C₂³×D₈₃	1	2	yes	—
1223	C₂²×C₄	C₂³×D₈₃	1	2	yes	—
1224	C₂²×C₄	C₂³×D₈₃	1	2	yes	—
1225	C₂²×C₄	C₂³×D₈₃	1	2	yes	—
1226	C₂²×C₄	C₂³×D₈₃	1	8	yes	—
1227	C₂²×C₄	C₂³×D₈₃	1	1	yes	characteristic
1228	C₄⋊C₄	—	83	4	no	—
1229	C₄⋊C₄	—	83	4	no	—
1230	C₄⋊C₄	—	83	8	no	—
1231	C₄⋊C₄	—	83	4	no	—
1232	C₄⋊C₄	—	83	4	no	—
1233	C₄⋊C₄	—	83	4	no	—
1234	C₄⋊C₄	—	83	4	no	—
1235	C₄⋊C₄	—	83	4	no	—
1236	C₄⋊C₄	—	83	4	no	—
1237	C₄⋊C₄	—	83	4	no	—
1238	C₄⋊C₄	—	83	8	no	—
1239	C₄⋊C₄	—	83	8	no	—
1240	C₄⋊C₄	—	83	8	no	—
1241	C₄⋊C₄	—	83	8	no	—
1242	C₄⋊C₄	—	83	8	no	—
1243	C₄⋊C₄	—	83	8	no	—
1244	C₄⋊C₄	—	83	8	no	—
1245	C₄⋊C₄	—	83	8	no	—
1246	C₄⋊C₄	—	83	8	no	—
1247	C₄⋊C₄	—	83	8	no	—
1248	C₄⋊C₄	—	83	8	no	—
1249	C₄⋊C₄	—	83	4	no	—
1250	C₄⋊C₄	—	83	4	no	—
1251	C₄⋊C₄	C₂³×D₈₃	1	4	yes	—
1252	C₄⋊C₄	C₂³×D₈₃	1	8	yes	—
1253	C₄⋊C₄	C₂³×D₈₃	1	8	yes	—
1254	C₄⋊C₄	C₂³×D₈₃	1	4	yes	—
1255	C₄⋊C₄	C₂³×D₈₃	1	4	yes	—
1256	C₄⋊C₄	C₂³×D₈₃	1	8	yes	—
1257	C₂²⋊C₄	—	83	4	no	—
1258	C₂²⋊C₄	—	83	8	no	—
1259	C₂²⋊C₄	—	83	8	no	—
1260	C₂²⋊C₄	—	83	8	no	—
1261	C₂²⋊C₄	—	83	8	no	—
1262	C₂²⋊C₄	—	83	4	no	—
1263	C₂²⋊C₄	—	83	4	no	—
1264	C₂²⋊C₄	—	83	8	no	—
1265	C₂²⋊C₄	—	83	4	no	—
1266	C₂²⋊C₄	—	83	4	no	—
1267	C₂²⋊C₄	—	83	4	no	—
1268	C₂²⋊C₄	—	83	4	no	—
1269	C₂²⋊C₄	—	83	4	no	—
1270	C₂²⋊C₄	—	83	4	no	—
1271	C₂²⋊C₄	—	83	8	no	—
1272	C₂²⋊C₄	—	83	8	no	—
1273	C₂²⋊C₄	—	83	8	no	—
1274	C₂²⋊C₄	—	83	8	no	—
1275	C₂²⋊C₄	—	83	8	no	—
1276	C₂²⋊C₄	—	83	8	no	—
1277	C₂²⋊C₄	—	83	8	no	—
1278	C₂²⋊C₄	—	83	8	no	—
1279	C₂²⋊C₄	C₂³×D₈₃	1	4	yes	—
1280	C₂²⋊C₄	C₂³×D₈₃	1	8	yes	—
1281	C₂²⋊C₄	C₂³×D₈₃	1	8	yes	—
1282	C₂²⋊C₄	C₂³×D₈₃	1	8	yes	—
1283	C₂²⋊C₄	C₂³×D₈₃	1	8	yes	—
1284	C₄²	—	83	4	no	—
1285	C₄²	—	83	2	no	—
1286	C₄²	—	83	4	no	—
1287	C₄²	—	83	2	no	—
1288	C₄²	—	83	8	no	—
1289	C₄²	—	83	8	no	—
1290	C₄²	—	83	8	no	—
1291	C₄²	—	83	8	no	—
1292	C₄²	—	83	2	no	—
1293	C₄²	—	83	2	no	—
1294	C₄²	—	83	4	no	—
1295	C₄²	C₂³×D₈₃	1	2	yes	—
1296	C₄²	C₂³×D₈₃	1	2	yes	—
1297	C₄²	C₂³×D₈₃	1	2	yes	—
1298	C₄²	C₂³×D₈₃	1	2	yes	—
1299	C₄²	C₂³×D₈₃	1	2	yes	—
1300	C₄²	C₂³×D₈₃	1	1	yes	characteristic
1301	C₄²	C₂³×D₈₃	1	1	yes	characteristic
1302	C₄²	C₂³×D₈₃	1	8	yes	—
1303	C₄²	C₂³×D₈₃	1	1	yes	characteristic
1304	C₄²	C₂³×D₈₃	1	4	yes	—
1305	C₄²	C₂³×D₈₃	1	1	yes	characteristic
1306	C₄²	C₂³×D₈₃	1	2	yes	—
1307	C₂³	—	2	2	no	—
1308	C₂³	—	2	4	no	—
1309	C₂³	—	332	16	no	—
1310	C₂³	—	332	2	no	—
1311	C₂³	—	332	4	no	—
1312	C₂³	—	332	2	no	—
1313	C₂³	—	332	8	no	—
1314	C₂³	—	83	4	no	—
1315	C₂³	—	83	2	no	—
1316	C₂³	—	83	2	no	—
1317	C₂³	—	83	4	no	—
1318	C₂³	—	166	8	no	—
1319	C₂³	—	166	8	no	—
1320	C₂³	—	166	2	no	—
1321	C₂³	—	166	8	no	—
1322	C₂³	C₂⁴×D₈₃	1	4	yes	—
1323	C₂³	C₂⁴×D₈₃	1	1	yes	characteristic
1324	C₂³	C₂⁴×D₈₃	1	2	yes	—
1325	Q₈	—	2	4	no	—
1326	Q₈	—	4	4	no	—
1327	Q₈	—	332	4	no	—
1328	Q₈	—	332	8	no	—
1329	Q₈	—	166	8	no	—
1330	Q₈	—	166	4	no	—
1331	D₄	—	2	8	no	—
1332	D₄	—	2	16	no	—
1333	D₄	—	2	4	no	—
1334	D₄	—	4	4	no	—
1335	D₄	—	332	8	no	—
1336	D₄	—	332	4	no	—
1337	D₄	—	332	8	no	—
1338	D₄	—	332	8	no	—
1339	D₄	—	166	8	no	—
1340	D₄	—	166	8	no	—
1341	D₄	—	166	8	no	—
1342	D₄	—	166	8	no	—
1343	D₄	—	166	16	no	—
1344	D₄	—	166	4	no	—
1345	C₂×C₄	—	2	2	no	—
1346	C₂×C₄	—	2	4	no	—
1347	C₂×C₄	—	2	4	no	—
1348	C₂×C₄	—	2	4	no	—
1349	C₂×C₄	—	2	4	no	—
1350	C₂×C₄	—	2	8	no	—
1351	C₂×C₄	—	4	2	no	—
1352	C₂×C₄	—	4	2	no	—
1353	C₂×C₄	—	4	2	no	—
1354	C₂×C₄	—	4	2	no	—
1355	C₂×C₄	—	4	8	no	—
1356	C₂×C₄	—	332	8	no	—
1357	C₂×C₄	—	332	8	no	—
1358	C₂×C₄	—	332	8	no	—
1359	C₂×C₄	—	332	2	no	—
1360	C₂×C₄	—	332	4	no	—
1361	C₂×C₄	—	332	2	no	—
1362	C₂×C₄	—	332	8	no	—
1363	C₂×C₄	—	83	4	no	—
1364	C₂×C₄	—	83	2	no	—
1365	C₂×C₄	—	83	8	no	—
1366	C₂×C₄	—	83	8	no	—
1367	C₂×C₄	—	83	4	no	—
1368	C₂×C₄	—	83	4	no	—
1369	C₂×C₄	—	83	8	no	—
1370	C₂×C₄	—	83	4	no	—
1371	C₂×C₄	—	83	2	no	—
1372	C₂×C₄	—	166	8	no	—
1373	C₂×C₄	—	166	8	no	—
1374	C₂×C₄	—	166	8	no	—
1375	C₂×C₄	—	166	8	no	—
1376	C₂×C₄	—	166	8	no	—
1377	C₂×C₄	—	166	8	no	—
1378	C₂×C₄	—	166	2	no	—
1379	C₂×C₄	—	166	8	no	—
1380	C₂×C₄	—	166	4	no	—
1381	C₂×C₄	—	166	4	no	—
1382	C₂×C₄	—	166	8	no	—
1383	C₂×C₄	#41×D₈₃	1	4	yes	—
1384	C₂×C₄	C₂⁴×D₈₃	1	2	yes	—
1385	C₂×C₄	C₂⁴×D₈₃	1	2	yes	—
1386	C₂×C₄	C₂⁴×D₈₃	1	4	yes	—
1387	C₂×C₄	C₂⁴×D₈₃	1	8	yes	—
1388	C₂×C₄	C₂⁴×D₈₃	1	2	yes	—
1389	C₂×C₄	C₂⁴×D₈₃	1	2	yes	—
1390	C₂×C₄	C₂⁴×D₈₃	1	2	yes	—
1391	C₂×C₄	C₂⁴×D₈₃	1	1	yes	characteristic
1392	C₂×C₄	C₂⁴×D₈₃	1	1	yes	characteristic
1393	C₂²	—	2	8	no	—
1394	C₂²	—	2	2	no	—
1395	C₂²	—	2	2	no	—
1396	C₂²	—	2	2	no	—
1397	C₂²	—	2	4	no	—
1398	C₂²	—	2	8	no	—
1399	C₂²	—	332	4	no	—
1400	C₂²	—	332	16	no	—
1401	C₂²	—	332	4	no	—
1402	C₂²	—	83	4	no	—
1403	C₂²	—	664	8	no	—
1404	C₂²	—	166	2	no	—
1405	C₂²	—	166	4	no	—
1406	C₂²	—	166	8	no	—
1407	C₂²	—	166	4	no	—
1408	C₂²	—	166	4	no	—
1409	C₂²	C₂×#41×D₈₃	1	2	yes	—
1410	C₂²	#19128537	1	4	yes	—
1411	C₂²	C₂⁵×D₈₃	1	1	yes	characteristic
1412	C₄	—	2	2	no	—
1413	C₄	—	2	4	no	—
1414	C₄	—	2	2	no	—
1415	C₄	—	2	2	no	—
1416	C₄	—	2	2	no	—
1417	C₄	—	2	2	no	—
1418	C₄	—	2	8	no	—
1419	C₄	—	83	4	no	—
1420	C₄	—	166	2	no	—
1421	C₄	—	166	4	no	—
1422	C₄	—	166	4	no	—
1423	C₄	—	166	8	no	—
1424	C₄	—	166	4	no	—
1425	C₄	C₂×#41×D₈₃	1	2	yes	—
1426	C₄	C₂×#41×D₈₃	1	2	yes	—
1427	C₂	—	2	2	no	—
1428	C₂	—	2	4	no	—
1429	C₂	—	4	4	no	—
1430	C₂	—	332	2	no	—
1431	C₂	—	332	4	no	—
1432	C₂	—	166	4	no	—
1433	C₂	C₂²×#41×D₈₃	1	1	yes	characteristic
1434	C₂	C₂×#19128537	1	2	yes	—

	subgroup	G/H
center	C₂×C₄	C₂⁴×D₈₃
commutator, socle, cosocle	C₂²×C₈₃	C₂⁶
Frattini	C₂²	C₂⁵×D₈₃
Fitting	C₈₃×#3444	C₂
hypercenter	#3444	D₈₃
hypocenter	C₈₃	#62814
LCS	G ▷ C₂²×C₈₃ ▷ C₈₃
UCS	C₁ ◁ C₂×C₄ ◁ #3444

Complements

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

N	H ≅ G/N	type
1. #24921210	C₂	semidirect
2. #24921203	C₂	semidirect
3. #24921193	C₂	semidirect
4. #24921186	C₂	semidirect
5. #24921175	C₂	semidirect
6. #24921164	C₂	semidirect
7. #24921155	C₂	semidirect
8. #24921146	C₂	semidirect
9. #24921025	C₂	semidirect
10. #24921015	C₂	semidirect
11. #24920866	C₂	semidirect
12. #24920855	C₂	semidirect
13. #24920852	C₂	semidirect
14. #24920848	C₂	semidirect
15. #24920790	C₂	semidirect
16. #24920759	C₂	semidirect
17. #24920755	C₂	semidirect
18. #525×D₈₃	C₂	semidirect
19. #24920662	C₂	semidirect
20. C₂²×#14581749	C₂	semidirect
21. C₈₃×#3444	C₂	semidirect
24. #19128423	C₂²	semidirect
25. #19128418	C₂²	semidirect
26. #19128414	C₂²	semidirect
27. #19128413	C₂²	semidirect
28. #19128410	C₂²	semidirect
29. #19128405	C₂²	semidirect
30. #19128402	C₂²	semidirect
31. #19128400	C₂²	semidirect
32. #19128400	C₂²	semidirect
33. #19128394	C₂²	semidirect
34. #19128392	C₂²	semidirect
35. #19128390	C₂²	semidirect
36. #19128388	C₂²	semidirect
37. #19128387	C₂²	semidirect
38. #19128384	C₂²	semidirect
39. #19128384	C₂²	semidirect
40. #19128383	C₂²	semidirect
41. #19128383	C₂²	semidirect
42. #19128381	C₂²	semidirect
43. #19128380	C₂²	semidirect
44. #19128380	C₂²	semidirect
45. #19128378	C₂²	semidirect
46. #19128376	C₂²	semidirect
47. #19128375	C₂²	semidirect
48. #19128375	C₂²	semidirect
49. #19128374	C₂²	semidirect
50. #19128350	C₂²	semidirect
51. #19128349	C₂²	semidirect
52. #19128346	C₂²	semidirect
53. #19128343	C₂²	semidirect
54. #19128340	C₂²	semidirect
55. #19128339	C₂²	semidirect
56. #19128331	C₂²	semidirect
57. #19128330	C₂²	semidirect
58. #19128328	C₂²	semidirect
60. #19128325	C₂²	semidirect
61. #19128323	C₂²	semidirect
62. #19128320	C₂²	semidirect
63. #19128316	C₂²	semidirect
64. #19128314	C₂²	semidirect
65. #19128312	C₂²	semidirect
66. #19128309	C₂²	semidirect
67. #19128307	C₂²	semidirect
68. #19128305	C₂²	semidirect
69. #19128302	C₂²	semidirect
70. #19128300	C₂²	semidirect
71. #19128296	C₂²	semidirect
72. #19128293	C₂²	semidirect
73. #19128291	C₂²	semidirect
74. #19128288	C₂²	semidirect
75. #19128284	C₂²	semidirect
76. #19128278	C₂²	semidirect
77. #19128276	C₂²	semidirect
78. #19128271	C₂²	semidirect
79. #19128269	C₂²	semidirect
80. #19128264	C₂²	semidirect
82. #19128258	C₂²	semidirect
83. #19128258	C₂²	semidirect
84. #19128255	C₂²	semidirect
85. #19128254	C₂²	semidirect
86. #19128253	C₂²	semidirect
87. #19128251	C₂²	semidirect
88. #19128251	C₂²	semidirect
89. #19128247	C₂²	semidirect
90. #19128246	C₂²	semidirect
91. #19128238	C₂²	semidirect
92. #19128237	C₂²	semidirect
93. #19128235	C₂²	semidirect
94. #19128235	C₂²	semidirect
95. #19128235	C₂²	semidirect
96. #19128235	C₂²	semidirect
97. #19128232	C₂²	semidirect
98. #19128231	C₂²	semidirect
99. #19128231	C₂²	semidirect
100. #19128229	C₂²	semidirect
101. #19128228	C₂²	semidirect
103. #19128213	C₂²	semidirect
104. #19128212	C₂²	semidirect
105. #19128212	C₂²	semidirect
108. #19128210	C₂²	semidirect
109. #19128209	C₂²	semidirect
110. #19128208	C₂²	semidirect
111. #19128207	C₂²	semidirect
112. #19128207	C₂²	semidirect
114. C₂²⋊Q₈×D₈₃	C₂²	semidirect
115. #121×D₈₃	C₂²	semidirect
117. #19128183	C₂²	semidirect
118. #19128180	C₂²	semidirect
119. #19128180	C₂²	semidirect
120. #19128177	C₂²	semidirect
122. #19128173	C₂²	semidirect
123. #41×Dic₈₃	C₂²	semidirect
124. C₄×#13050590	C₂²	semidirect
125. C₄×#13050590	C₂²	semidirect
126. C₄×#13050590	C₂²	semidirect
127. #19128169	C₂²	semidirect
128. #19128169	C₂²	semidirect
129. C₄×#13050589	C₂²	semidirect
130. C₄×D₄×D₈₃	C₂²	semidirect
134. C₂×#14581749	C₂²	semidirect
135. C₂×#14581749	C₂²	semidirect
136. C₂×#14581749	C₂²	semidirect
137. C₂×#14581749	C₂²	semidirect
138. C₂×#14581749	C₂²	semidirect
139. C₂×#14581749	C₂²	semidirect
140. C₂×#14581749	C₂²	semidirect
141. C₂×#14581749	C₂²	semidirect
143. #117×D₈₃	C₂²	semidirect
144. C₂²×Dic₈₃⋊C₄	C₂²	semidirect
146. C₂²×C₄×Dic₈₃	C₂²	semidirect
147. #533×C₈₃	C₂²	semidirect
148. #533×C₈₃	C₂²	semidirect
149. #532×C₈₃	C₂²	semidirect
150. #532×C₈₃	C₂²	semidirect
151. #529×C₈₃	C₂²	semidirect
152. #529×C₈₃	C₂²	semidirect
153. #529×C₈₃	C₂²	semidirect
154. #525×C₈₃	C₂²	semidirect
155. #525×C₈₃	C₂²	semidirect
156. C₄×#41×C₈₃	C₂²	semidirect
157. C₄×#41×C₈₃	C₂²	semidirect
158. C₂²×C₄²×C₈₃	C₂²	semidirect
182. #14581792	C₂³	semidirect
183. #14581792	C₂³	semidirect
184. #14581791	C₂³	semidirect
185. #14581791	C₂³	semidirect
186. #14581790	C₂³	semidirect
187. #14581790	C₂³	semidirect
188. #14581789	C₂³	semidirect
189. #14581788	C₂³	semidirect
193. #14581787	C₂³	semidirect
194. #14581787	C₂³	semidirect
196. #14581786	C₂³	semidirect
197. #14581786	C₂³	semidirect
198. #14581785	C₂³	semidirect
199. #14581785	C₂³	semidirect
200. #14581785	C₂³	semidirect
201. #14581784	C₂³	semidirect
202. #14581784	C₂³	semidirect
203. #14581784	C₂³	semidirect
204. #14581783	C₂³	semidirect
205. #14581783	C₂³	semidirect
206. #14581782	C₂³	semidirect
207. #14581782	C₂³	semidirect
208. #14581782	C₂³	semidirect
209. #14581782	C₂³	semidirect
210. #14581782	C₂³	semidirect
212. #14581781	C₂³	semidirect
214. #14581780	C₂³	semidirect
215. #14581780	C₂³	semidirect
216. #14581779	C₂³	semidirect
219. #14581778	C₂³	semidirect
224. #14581777	C₂³	semidirect
231. #14581775	C₂³	semidirect
234. #14581774	C₂³	semidirect
237. #14581773	C₂³	semidirect
243. #14581771	C₂³	semidirect
247. #14581770	C₂³	semidirect
248. #14581770	C₂³	semidirect
252. #14581769	C₂³	semidirect
253. #14581769	C₂³	semidirect
256. #14581768	C₂³	semidirect
265. #14581765	C₂³	semidirect
270. #14581764	C₂³	semidirect
279. Q₈×Dic₈₃	C₂³	semidirect
280. C₄×Dic₁₆₆	C₂³	semidirect
281. C₄×Dic₁₆₆	C₂³	semidirect
282. C₄×Dic₁₆₆	C₂³	semidirect
283. C₄×Dic₁₆₆	C₂³	semidirect
284. C₄×Dic₁₆₆	C₂³	semidirect
285. #14581757	C₂³	semidirect
286. #14581757	C₂³	semidirect
287. #14581757	C₂³	semidirect
290. C₄×D₃₃₂	C₂³	semidirect
291. C₄×D₃₃₂	C₂³	semidirect
292. C₄×D₃₃₂	C₂³	semidirect
296. D₄×Dic₈₃	C₂³	semidirect
299. #14581754	C₂³	semidirect
305. C₄×C₂²⋊D₈₃	C₂³	semidirect
306. C₄×C₂²⋊D₈₃	C₂³	semidirect
312. (C₂²⋊D₈₃)⋊C₄	C₂³	semidirect
313. (C₂²⋊D₈₃)⋊C₄	C₂³	semidirect
316. #14581751	C₂³	semidirect
319. #14581750	C₂³	semidirect
342. #14581749	C₂³	semidirect
343. #14581749	C₂³	semidirect
344. #14581749	C₂³	semidirect
345. #14581749	C₂³	semidirect
348. #14581748	C₂³	semidirect
349. #14581748	C₂³	semidirect
358. C₂×Dic₈₃⋊C₄	C₂³	semidirect
361. C₄⋊C₄×D₈₃	C₂³	semidirect
380. C₂×C₄×Dic₈₃	C₂³	semidirect
382. C₄²×D₈₃	C₂³	semidirect
383. C₄²×D₈₃	C₂³	semidirect
388. C₄⋊Q₈×C₈₃	C₂³	semidirect
389. C₄⋊Q₈×C₈₃	C₂³	semidirect
390. #127×C₈₃	C₂³	semidirect
391. #126×C₈₃	C₂³	semidirect
392. #125×C₈₃	C₂³	semidirect
393. #125×C₈₃	C₂³	semidirect
394. #124×C₈₃	C₂³	semidirect
395. #124×C₈₃	C₂³	semidirect
405. C₄×Q₈×C₈₃	C₂³	semidirect
406. C₄×Q₈×C₈₃	C₂³	semidirect
407. C₄×Q₈×C₈₃	C₂³	semidirect
411. C₄×D₄×C₈₃	C₂³	semidirect
412. C₄×D₄×C₈₃	C₂³	semidirect
413. C₄×D₄×C₈₃	C₂³	semidirect
416. #117×C₈₃	C₂³	semidirect
417. #117×C₈₃	C₂³	semidirect
425. C₂×C₄²×C₈₃	C₂³	semidirect
474. C₂×C₄×D₈₃	#41	semidirect
735. #3444	D₈₃	semidirect
739. C₈₃	#62814	semidirect
805. #533	C₂×D₈₃	semidirect
806. #533	C₂×D₈₃	semidirect
811. #532	C₂×D₈₃	semidirect
812. #532	C₂×D₈₃	semidirect
824. #529	C₂×D₈₃	semidirect
825. #529	C₂×D₈₃	semidirect
826. #529	C₂×D₈₃	semidirect
838. #525	C₂×D₈₃	semidirect
839. #525	C₂×D₈₃	semidirect
857. C₄×#41	C₂×D₈₃	semidirect
858. C₄×#41	C₂×D₈₃	semidirect
876. C₂²×C₄²	C₂×D₈₃	semidirect
910. C₄⋊Q₈	C₂²×D₈₃	semidirect
911. C₄⋊Q₈	C₂²×D₈₃	semidirect
914. #127	C₂²×D₈₃	semidirect
926. #126	C₂²×D₈₃	semidirect
937. #125	C₂²×D₈₃	semidirect
938. #125	C₂²×D₈₃	semidirect
948. #124	C₂²×D₈₃	semidirect
949. #124	C₂²×D₈₃	semidirect
1027. C₄×Q₈	C₂²×D₈₃	semidirect
1028. C₄×Q₈	C₂²×D₈₃	semidirect
1029. C₄×Q₈	C₂²×D₈₃	semidirect
1059. C₄×D₄	C₂²×D₈₃	semidirect
1060. C₄×D₄	C₂²×D₈₃	semidirect
1061. C₄×D₄	C₂²×D₈₃	semidirect
1100. #117	C₂²×D₈₃	semidirect
1101. #117	C₂²×D₈₃	semidirect
1143. C₂×C₄²	C₂²×D₈₃	semidirect

Maximal subgroups

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

subgroup	index
#24921210	2
#24921203	2
#24921193	2
#24921186	2
#24921175	2
#24921164	2
#24921155	2
#24921146	2
#24921025	2
#24921015	2
#24920866	2
#24920855	2
#24920852	2
#24920848	2
#24920790	2
#24920759	2
#24920755	2
#525×D₈₃	2
#24920662	2
C₂²×#14581749	2
C₈₃×#3444	2
#62814	83