Subgroups — #33250262

Order 18688.

2082 conjugacy classes of subgroups.

The subgroup lattice has 1432 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×#17989207	C₂	1	1	yes	maximal, characteristic
2	#22613122	C₂	1	1	yes	maximal, characteristic, complemented
3	#22613110	C₂	1	1	yes	maximal, characteristic, complemented
4	#22613103	C₂	1	1	yes	maximal, characteristic, complemented
5	#22613093	C₂	1	1	yes	maximal, characteristic, complemented
6	#22613060	C₂	1	1	yes	maximal, characteristic, complemented
7	#22613045	C₂	1	1	yes	maximal, characteristic, complemented
8	#22613015	C₂	1	1	yes	maximal, characteristic, complemented
9	#22613015	C₂	1	1	yes	maximal, characteristic, complemented
10	#22612998	C₂	1	1	yes	maximal, characteristic, complemented
11	#22612985	C₂	1	1	yes	maximal, characteristic, complemented
12	#22612953	C₂	1	1	yes	maximal, characteristic, complemented
13	#22612916	C₂	1	1	yes	maximal, characteristic, complemented
14	#22612893	C₂	1	1	yes	maximal, characteristic, complemented
15	#22612884	C₂	1	1	yes	maximal, characteristic, complemented
16	#22612820	C₂	1	1	yes	maximal, characteristic, complemented
17	#22612786	C₂	1	1	yes	maximal, characteristic, complemented
18	#22612745	C₂	1	1	yes	maximal, characteristic, complemented
19	#22612739	C₂	1	1	yes	maximal, characteristic, complemented
20	#22612739	C₂	1	1	yes	maximal, characteristic, complemented
21	#22612717	C₂	1	1	yes	maximal, characteristic, complemented
22	#22612708	C₂	1	1	yes	maximal, characteristic, complemented
23	#22612707	C₂	1	1	yes	maximal, characteristic, complemented
24	#22612691	C₂	1	1	yes	maximal, characteristic
25	#22612689	C₂	1	1	yes	maximal, characteristic, complemented
26	#22612637	C₂	1	1	yes	maximal, characteristic, complemented
27	#22612628	C₂	1	1	yes	maximal, characteristic
28	#22612566	C₂	1	1	yes	maximal, characteristic, complemented
29	C₄×#14556574	C₂	1	1	yes	maximal, characteristic, complemented
30	#22612374	C₂	1	1	yes	maximal, characteristic, complemented
31	C₄×C₂²⋊Q₈×C₇₃	C₂	1	1	yes	maximal, characteristic, complemented
32	#17989207	C₄	1	16	yes	complemented
33	C₂×#14556589	C₂²	1	1	yes	characteristic
34	C₂×#14556586	C₂²	1	1	yes	characteristic
35	C₂×#14556584	C₂²	1	1	yes	characteristic
36	C₂×#14556580	C₂²	1	1	yes	characteristic
37	C₂×#14556577	C₂²	1	1	yes	characteristic
38	C₂×#14556577	C₂²	1	1	yes	characteristic
39	C₂×#14556576	C₂²	1	1	yes	characteristic
40	C₂×#14556574	C₂²	1	1	yes	characteristic
41	C₂×#14556569	C₂²	1	1	yes	characteristic
42	C₂×#14556569	C₂²	1	1	yes	characteristic
43	C₂×#14556564	C₂²	1	1	yes	characteristic
44	C₂×#14556556	C₂²	1	1	yes	characteristic
45	C₂×#14556556	C₂²	1	1	yes	characteristic
46	C₂×#14556553	C₂²	1	1	yes	characteristic
47	C₂×C₄×C₂²⋊D₇₃	C₂²	1	1	yes	characteristic
48	C₂×C₄×C₂²⋊D₇₃	C₂²	1	1	yes	characteristic
49	C₂×#14556549	C₂²	1	1	yes	characteristic
50	C₂×#14556548	C₂²	1	1	yes	characteristic
51	#17988494	C₂²	1	1	yes	characteristic
52	#17988494	C₂²	1	1	yes	characteristic
53	#17988493	C₂²	1	1	yes	characteristic
54	#17988493	C₂²	1	1	yes	characteristic
55	#17988492	C₂²	1	1	yes	characteristic
56	#17988491	C₂²	1	1	yes	characteristic
57	#17988491	C₂²	1	1	yes	characteristic
58	#17988491	C₂²	1	1	yes	characteristic
59	#17988491	C₂²	1	1	yes	characteristic
60	#17988489	C₂²	1	1	yes	characteristic
61	#17988487	C₂²	1	1	yes	characteristic
62	#17988485	C₂²	1	1	yes	characteristic
63	#17988484	C₂²	1	1	yes	characteristic
64	#17988483	C₂²	1	1	yes	characteristic
65	#17988482	C₂²	1	1	yes	characteristic
66	#17988482	C₂²	1	1	yes	characteristic
67	#17988481	C₂²	1	1	yes	characteristic
68	#17988481	C₂²	1	1	yes	characteristic
69	#17988481	C₂²	1	1	yes	characteristic
70	#17988480	C₂²	1	1	yes	characteristic
71	#17988480	C₂²	1	1	yes	characteristic
72	#17988480	C₂²	1	1	yes	characteristic
73	#17988480	C₂²	1	1	yes	characteristic
74	#17988479	C₂²	1	1	yes	characteristic
75	#17988478	C₂²	1	1	yes	characteristic
76	#17988478	C₂²	1	1	yes	characteristic
77	#17988478	C₂²	1	1	yes	characteristic
78	#17988478	C₂²	1	1	yes	characteristic
79	#17988478	C₂²	1	1	yes	characteristic
80	#17988478	C₂²	1	1	yes	characteristic
81	#17988477	C₂²	1	1	yes	characteristic
82	#17988477	C₂²	1	1	yes	characteristic
83	#17988477	C₂²	1	1	yes	characteristic
84	#17988477	C₂²	1	1	yes	characteristic
85	#17988476	C₂²	1	1	yes	characteristic
86	#17988476	C₂²	1	1	yes	characteristic
87	#17988476	C₂²	1	1	yes	characteristic
88	#17988476	C₂²	1	1	yes	characteristic
89	#17988476	C₂²	1	1	yes	characteristic
90	#17988475	C₂²	1	1	yes	characteristic
91	#17988474	C₂²	1	1	yes	characteristic
92	#17988474	C₂²	1	1	yes	characteristic
93	#17988473	C₂²	1	1	yes	characteristic
94	#17988473	C₂²	1	1	yes	characteristic
95	#17988473	C₂²	1	1	yes	characteristic
96	#17988473	C₂²	1	1	yes	characteristic
97	#17988472	C₂²	1	1	yes	characteristic
98	#17988471	C₂²	1	1	yes	characteristic
99	#17988471	C₂²	1	1	yes	characteristic
100	#17988471	C₂²	1	1	yes	characteristic
101	#17988471	C₂²	1	1	yes	characteristic
102	#17988471	C₂²	1	1	yes	characteristic
103	#17988471	C₂²	1	1	yes	characteristic
104	#17988470	C₂²	1	1	yes	characteristic
105	#17988469	C₂²	1	1	yes	characteristic
106	#17988469	C₂²	1	1	yes	characteristic
107	#17988469	C₂²	1	1	yes	characteristic
108	#17988468	C₂²	1	1	yes	characteristic
109	#17988468	C₂²	1	1	yes	characteristic
110	#17988468	C₂²	1	1	yes	characteristic
111	#17988468	C₂²	1	1	yes	characteristic
112	#17988468	C₂²	1	1	yes	characteristic
113	#17988466	C₂²	1	1	yes	characteristic
114	#17988466	C₂²	1	1	yes	characteristic
115	#17988466	C₂²	1	1	yes	characteristic
116	#17988465	C₂²	1	1	yes	characteristic
117	#17988465	C₂²	1	1	yes	characteristic
118	#17988463	C₂²	1	1	yes	characteristic
119	#17988463	C₂²	1	1	yes	characteristic
120	#17988463	C₂²	1	1	yes	characteristic
121	#17988461	C₂²	1	1	yes	characteristic
122	#17988461	C₂²	1	1	yes	characteristic
123	#17988461	C₂²	1	1	yes	characteristic
124	#17988461	C₂²	1	1	yes	characteristic
125	#17988460	C₂²	1	1	yes	characteristic
126	#17988460	C₂²	1	1	yes	characteristic
127	#17988460	C₂²	1	1	yes	characteristic
128	#17988458	C₂²	1	1	yes	characteristic
129	#17988458	C₂²	1	1	yes	characteristic
130	#17988458	C₂²	1	1	yes	characteristic
131	#17988458	C₂²	1	1	yes	characteristic
132	#17988458	C₂²	1	1	yes	characteristic
133	#17988456	C₂²	1	1	yes	characteristic
134	#17988454	C₂²	1	1	yes	characteristic
135	#17988454	C₂²	1	1	yes	characteristic
136	#17988454	C₂²	1	1	yes	characteristic
137	#17988454	C₂²	1	1	yes	characteristic
138	#17988451	C₂²	1	1	yes	characteristic
139	#17988451	C₂²	1	1	yes	characteristic
140	#17988451	C₂²	1	1	yes	characteristic
141	#17988450	C₂²	1	1	yes	characteristic
142	#17988449	C₂²	1	1	yes	characteristic
143	#17988444	C₂²	1	1	yes	characteristic
144	C₄⋊C₄×Dic₇₃	C₂²	1	1	yes	characteristic
145	C₄⋊C₄×Dic₇₃	C₂²	1	1	yes	characteristic
146	C₄⋊C₄×Dic₇₃	C₂²	1	1	yes	characteristic
147	C₄⋊C₄×Dic₇₃	C₂²	1	1	yes	characteristic
148	C₄×#11924007	C₂²	1	1	yes	characteristic
149	C₄×#11924007	C₂²	1	1	yes	characteristic
150	C₄×#11924007	C₂²	1	1	yes	characteristic
151	C₄×#11924007	C₂²	1	1	yes	characteristic
152	C₄×#11924007	C₂²	1	1	yes	characteristic
153	C₄×#11924007	C₂²	1	1	yes	characteristic
154	C₄×#11924007	C₂²	1	1	yes	characteristic
155	#17988438	C₂²	1	1	yes	characteristic
156	#17988438	C₂²	1	1	yes	characteristic
157	C₄×#11924005	C₂²	1	1	yes	characteristic
158	C₄×#11924005	C₂²	1	1	yes	characteristic
159	C₄×#11924005	C₂²	1	1	yes	characteristic
160	C₄×#11924005	C₂²	1	1	yes	characteristic
161	C₄×#11924005	C₂²	1	1	yes	characteristic
162	C₄×#11924005	C₂²	1	1	yes	characteristic
163	C₄×#11924005	C₂²	1	1	yes	characteristic
164	C₄×C₂²⋊Dic₇₃	C₂²	1	1	yes	characteristic
165	C₄×C₂²⋊Dic₇₃	C₂²	1	1	yes	characteristic
166	#17988434	C₂²	1	1	yes	characteristic
167	#17988434	C₂²	1	1	yes	characteristic
168	#17988434	C₂²	1	1	yes	characteristic
169	#17988433	C₂²	1	1	yes	characteristic
170	#17988432	C₂²	1	1	yes	characteristic
171	#95×D₇₃	C₂²	1	1	yes	characteristic
172	#95×D₇₃	C₂²	1	1	yes	characteristic
173	C₂×C₂²⋊Q₈×C₇₃	C₂²	1	1	yes	characteristic
174	C₂×C₄×Q₈×C₇₃	C₂²	1	1	yes	characteristic
175	C₂²×C₄²×C₇₃	C₂²	1	1	yes	characteristic
176	#391×C₇₃	C₂²	1	1	yes	characteristic
177	#389×C₇₃	C₂²	1	1	yes	characteristic
178	#387×C₇₃	C₂²	1	1	yes	characteristic
179	#387×C₇₃	C₂²	1	1	yes	characteristic
180	#385×C₇₃	C₂²	1	1	yes	characteristic
181	#385×C₇₃	C₂²	1	1	yes	characteristic
182	#380×C₇₃	C₂²	1	1	yes	characteristic
183	C₄×C₄⋊C₄×C₇₃	C₂²	1	1	yes	characteristic
184	C₄×C₄⋊C₄×C₇₃	C₂²	1	1	yes	characteristic
185	C₄×C₄⋊C₄×C₇₃	C₂²	1	1	yes	characteristic
186	C₄×C₂²⋊C₄×C₇₃	C₂²	1	1	yes	characteristic
187	C₄×C₂²⋊C₄×C₇₃	C₂²	1	1	yes	characteristic
188	C₂²×Dic₁₄₆	C₂³	1	1	yes	characteristic
189	C₂²×Dic₁₄₆	C₂³	1	1	yes	characteristic
190	C₂²×D₂₉₂	C₂³	1	1	yes	characteristic
191	C₂²×C₂²⋊D₇₃	C₂³	1	1	yes	characteristic
192	C₂²×C₂²⋊D₇₃	C₂³	1	1	yes	characteristic
193	C₂²×C₄×D₇₃	C₂³	1	1	yes	characteristic
194	C₂²×C₄×D₇₃	C₂³	1	1	yes	characteristic
195	C₂²×C₄×D₇₃	C₂³	1	1	yes	characteristic
196	C₂²×C₄×D₇₃	C₂³	1	1	yes	characteristic
197	C₂²×C₄×D₇₃	C₂³	1	1	yes	characteristic
198	C₂²×C₄×D₇₃	C₂³	1	1	yes	characteristic
199	#14556589	C₂×C₄	1	8	yes	complemented
200	#14556586	C₂×C₄	1	8	yes	complemented
201	#14556584	C₂×C₄	1	8	yes	complemented
202	#14556580	C₂×C₄	1	8	yes	complemented
203	#14556577	C₂×C₄	1	8	yes	complemented
204	#14556577	C₂×C₄	1	8	yes	complemented
205	#14556576	C₂×C₄	1	8	yes	complemented
206	#14556574	C₂×C₄	1	8	yes	complemented
207	#14556569	C₂×C₄	1	8	yes	complemented
208	#14556569	C₂×C₄	1	8	yes	complemented
209	#14556564	C₂×C₄	1	8	yes	—
210	#14556556	—	4	2	no	—
211	#14556556	C₂×C₄	1	8	yes	complemented
212	#14556553	—	4	2	no	—
213	C₄×C₂²⋊D₇₃	—	4	2	no	—
214	C₄×C₂²⋊D₇₃	C₂×C₄	1	8	yes	complemented
215	#14556549	C₂×C₄	1	8	yes	complemented
216	#14556548	—	4	2	no	—
217	C₂×C₄⋊Dic₇₃	C₂³	1	1	yes	characteristic
218	C₂×C₄⋊Dic₇₃	C₂³	1	1	yes	characteristic
219	C₂×C₄⋊Dic₇₃	C₂³	1	1	yes	characteristic
220	C₂×C₄⋊Dic₇₃	C₂³	1	1	yes	characteristic
221	C₂×C₄⋊Dic₇₃	C₂³	1	1	yes	characteristic
222	C₂×#11924007	C₂³	1	1	yes	characteristic
223	C₂×#11924007	C₂³	1	1	yes	characteristic
224	C₂×#11924007	C₂³	1	1	yes	characteristic
225	C₂×#11924007	C₂³	1	1	yes	characteristic
226	C₂×#11924007	C₂³	1	1	yes	characteristic
227	C₂×#11924007	C₂³	1	1	yes	characteristic
228	C₂×#11924007	C₂³	1	1	yes	characteristic
229	C₂×#11924007	C₂³	1	1	yes	characteristic
230	C₂×#11924007	C₂³	1	1	yes	characteristic
231	C₂×#11924007	C₂³	1	1	yes	characteristic
232	C₂×#11924007	C₂³	1	1	yes	characteristic
233	C₂×#11924007	C₂³	1	1	yes	characteristic
234	C₂×#11924007	C₂³	1	1	yes	characteristic
235	C₂×#11924007	C₂³	1	1	yes	characteristic
236	C₂×#11924007	C₂³	1	1	yes	characteristic
237	C₂×#11924007	C₂³	1	1	yes	characteristic
238	C₂×#11924007	C₂³	1	1	yes	characteristic
239	C₂×#11924007	C₂³	1	1	yes	characteristic
240	C₂×C₂²⋊Dic₇₃	C₂³	1	1	yes	characteristic
241	C₂×C₂²⋊Dic₇₃	C₂³	1	1	yes	characteristic
242	C₂×C₂²⋊Dic₇₃	C₂³	1	1	yes	characteristic
243	C₂×C₂²⋊Dic₇₃	C₂³	1	1	yes	characteristic
244	C₂×C₂²⋊Dic₇₃	C₂³	1	1	yes	characteristic
245	C₂×C₂²⋊Dic₇₃	C₂³	1	1	yes	characteristic
246	C₂×#11924005	C₂³	1	1	yes	characteristic
247	C₂×#11924005	C₂³	1	1	yes	characteristic
248	C₂×#11924005	C₂³	1	1	yes	characteristic
249	C₂×#11924005	C₂³	1	1	yes	characteristic
250	C₂×#11924005	C₂³	1	1	yes	characteristic
251	C₂×#11924005	C₂³	1	1	yes	characteristic
252	C₂×#11924005	C₂³	1	1	yes	characteristic
253	C₂×#11924005	C₂³	1	1	yes	characteristic
254	C₂×#11924005	C₂³	1	1	yes	characteristic
255	C₂×#11924005	C₂³	1	1	yes	characteristic
256	C₂×#11924005	C₂³	1	1	yes	characteristic
257	C₂×#11924005	C₂³	1	1	yes	characteristic
258	C₂×#11924005	C₂³	1	1	yes	characteristic
259	C₂×#11924005	C₂³	1	1	yes	characteristic
260	C₂×#11924005	C₂³	1	1	yes	characteristic
261	C₂×#11924005	C₂³	1	1	yes	characteristic
262	C₂×#11924005	C₂³	1	1	yes	characteristic
263	C₂×#11924005	C₂³	1	1	yes	characteristic
264	C₂×#11924005	C₂³	1	1	yes	characteristic
265	C₂×#11924005	C₂³	1	1	yes	characteristic
266	C₂×C₄×Dic₇₃	C₂³	1	1	yes	characteristic
267	C₂×C₄×Dic₇₃	C₂³	1	1	yes	characteristic
268	C₂×C₄×Dic₇₃	C₂³	1	1	yes	characteristic
269	C₂×C₄×Dic₇₃	C₂³	1	1	yes	characteristic
270	C₂×C₄×Dic₇₃	C₂³	1	1	yes	characteristic
271	C₂×C₄×Dic₇₃	C₂³	1	1	yes	characteristic
272	C₂×C₄×Dic₇₃	C₂³	1	1	yes	characteristic
273	C₂×C₄×Dic₇₃	C₂³	1	1	yes	characteristic
274	C₂×C₄×Dic₇₃	C₂³	1	1	yes	characteristic
275	C₂×C₄×Dic₇₃	C₂³	1	1	yes	characteristic
276	C₂×C₄×Dic₇₃	C₂³	1	1	yes	characteristic
277	C₂×C₄×Dic₇₃	C₂³	1	1	yes	characteristic
278	C₂×C₄×Dic₇₃	C₂³	1	1	yes	characteristic
279	C₂×C₄×Dic₇₃	C₂³	1	1	yes	characteristic
280	C₂×C₄×Dic₇₃	C₂³	1	1	yes	characteristic
281	C₂×C₄×Dic₇₃	C₂³	1	1	yes	characteristic
282	C₂×C₄×Dic₇₃	C₂³	1	1	yes	characteristic
283	C₂×C₄×Dic₇₃	C₂³	1	1	yes	characteristic
284	#14556498	C₂³	1	1	yes	characteristic
285	#14556498	C₂³	1	1	yes	characteristic
286	#14556498	C₂³	1	1	yes	characteristic
287	#14556498	C₂³	1	1	yes	characteristic
288	#14556498	C₂³	1	1	yes	characteristic
289	#14556498	C₂³	1	1	yes	characteristic
290	#14556498	C₂³	1	1	yes	characteristic
291	#14556498	C₂³	1	1	yes	characteristic
292	#14556498	C₂³	1	1	yes	characteristic
293	#14556498	C₂³	1	1	yes	characteristic
294	#14556498	C₂³	1	1	yes	characteristic
295	#14556498	C₂³	1	1	yes	characteristic
296	#14556498	C₂³	1	1	yes	characteristic
297	#14556498	C₂³	1	1	yes	characteristic
298	#14556498	C₂³	1	1	yes	characteristic
299	#14556498	C₂³	1	1	yes	characteristic
300	#14556498	C₂³	1	1	yes	characteristic
301	#14556498	C₂³	1	1	yes	characteristic
302	#14556498	C₂³	1	1	yes	characteristic
303	#14556498	C₂³	1	1	yes	characteristic
304	#14556498	C₂³	1	1	yes	characteristic
305	#14556498	C₂³	1	1	yes	characteristic
306	#14556498	C₂³	1	1	yes	characteristic
307	#14556498	C₂³	1	1	yes	characteristic
308	#14556498	C₂³	1	1	yes	characteristic
309	#14556498	C₂³	1	1	yes	characteristic
310	#14556498	C₂³	1	1	yes	characteristic
311	#14556498	C₂³	1	1	yes	characteristic
312	#14556498	C₂³	1	1	yes	characteristic
313	#14556498	C₂³	1	1	yes	characteristic
314	#14556498	C₂³	1	1	yes	characteristic
315	#14556498	C₂³	1	1	yes	characteristic
316	#14556498	C₂³	1	1	yes	characteristic
317	#14556498	C₂³	1	1	yes	characteristic
318	#14556498	C₂³	1	1	yes	characteristic
319	#14556498	C₂³	1	1	yes	characteristic
320	#14556498	C₂³	1	1	yes	characteristic
321	#14556498	C₂³	1	1	yes	characteristic
322	#14556498	C₂³	1	1	yes	characteristic
323	#14556498	C₂³	1	1	yes	characteristic
324	#14556498	C₂³	1	1	yes	characteristic
325	#14556498	C₂³	1	1	yes	characteristic
326	C₂²×Q₈×C₇₃	C₂³	1	1	yes	characteristic
327	C₂³×C₄×C₇₃	C₂³	1	1	yes	characteristic
328	C₂³×C₄×C₇₃	C₂³	1	1	yes	characteristic
329	C₂³×C₄×C₇₃	C₂³	1	1	yes	characteristic
330	C₂²⋊Q₈×C₇₃	C₂×C₄	1	8	yes	complemented
331	C₄×Q₈×C₇₃	—	4	2	no	—
332	C₂×C₄⋊C₄×C₇₃	C₂³	1	1	yes	characteristic
333	C₂×C₄⋊C₄×C₇₃	C₂³	1	1	yes	characteristic
334	C₂×C₄⋊C₄×C₇₃	C₂³	1	1	yes	characteristic
335	C₂×C₄⋊C₄×C₇₃	C₂³	1	1	yes	characteristic
336	C₂×C₄⋊C₄×C₇₃	C₂³	1	1	yes	characteristic
337	C₂×C₄⋊C₄×C₇₃	C₂³	1	1	yes	characteristic
338	C₂×C₄⋊C₄×C₇₃	C₂³	1	1	yes	characteristic
339	C₂×C₄⋊C₄×C₇₃	C₂³	1	1	yes	characteristic
340	C₂×C₄⋊C₄×C₇₃	C₂³	1	1	yes	characteristic
341	C₂×C₂²⋊C₄×C₇₃	C₂³	1	1	yes	characteristic
342	C₂×C₂²⋊C₄×C₇₃	C₂³	1	1	yes	characteristic
343	C₂×C₂²⋊C₄×C₇₃	C₂³	1	1	yes	characteristic
344	C₂×C₂²⋊C₄×C₇₃	C₂³	1	1	yes	characteristic
345	C₂×C₄²×C₇₃	—	4	2	no	—
346	C₂×C₄²×C₇₃	C₂³	1	1	yes	characteristic
347	C₂×C₄²×C₇₃	C₂³	1	1	yes	characteristic
348	C₂×C₄²×C₇₃	C₂³	1	1	yes	characteristic
349	C₂×C₄²×C₇₃	C₂³	1	1	yes	characteristic
350	C₂×C₄²×C₇₃	C₂³	1	1	yes	characteristic
351	C₂×C₄²×C₇₃	C₂³	1	1	yes	characteristic
352	C₂×C₄²×C₇₃	C₂³	1	1	yes	characteristic
353	C₂×C₄²×C₇₃	C₂³	1	1	yes	characteristic
354	#95×C₇₃	C₂³	1	1	yes	characteristic
355	#95×C₇₃	C₂³	1	1	yes	characteristic
356	#95×C₇₃	C₂³	1	1	yes	characteristic
357	#95×C₇₃	C₂³	1	1	yes	characteristic
358	#95×C₇₃	C₂³	1	1	yes	characteristic
359	#95×C₇₃	C₂³	1	1	yes	characteristic
360	#95×C₇₃	C₂³	1	1	yes	characteristic
361	#95×C₇₃	C₂³	1	1	yes	characteristic
362	#95×C₇₃	C₂³	1	1	yes	characteristic
363	#95×C₇₃	C₂³	1	1	yes	characteristic
364	C₂³×D₇₃	C₂⁴	1	1	yes	characteristic
365	C₂³×D₇₃	C₂⁴	1	1	yes	characteristic
366	C₂×Dic₁₄₆	—	4	1	no	—
367	C₂×Dic₁₄₆	—	4	1	no	—
368	C₂×Dic₁₄₆	—	4	1	no	—
369	C₂×Dic₁₄₆	—	4	1	no	—
370	C₂×Dic₁₄₆	C₂²×C₄	1	4	yes	—
371	C₂×Dic₁₄₆	C₂²×C₄	1	4	yes	—
372	C₂×D₂₉₂	—	4	1	no	—
373	C₂×D₂₉₂	—	4	1	no	—
374	C₂×D₂₉₂	C₂²×C₄	1	4	yes	—
375	C₂×C₂²⋊D₇₃	—	4	1	no	—
376	C₂×C₂²⋊D₇₃	—	4	1	no	—
377	C₂×C₂²⋊D₇₃	—	4	1	no	—
378	C₂×C₂²⋊D₇₃	—	4	1	no	—
379	C₂×C₂²⋊D₇₃	C₂²×C₄	1	4	yes	—
380	C₂×C₂²⋊D₇₃	C₂²×C₄	1	4	yes	—
381	C₂²×Dic₇₃	C₂⁴	1	1	yes	characteristic
382	C₂²×Dic₇₃	C₂⁴	1	1	yes	characteristic
383	C₂²×Dic₇₃	C₂⁴	1	1	yes	characteristic
384	C₂²×Dic₇₃	C₂⁴	1	1	yes	characteristic
385	C₂²×Dic₇₃	C₂⁴	1	1	yes	characteristic
386	C₂²×Dic₇₃	C₂⁴	1	1	yes	characteristic
387	C₂²×Dic₇₃	C₂⁴	1	1	yes	characteristic
388	C₂²×Dic₇₃	C₂⁴	1	1	yes	characteristic
389	C₂²×Dic₇₃	C₂⁴	1	1	yes	characteristic
390	C₂²×Dic₇₃	C₂⁴	1	1	yes	characteristic
391	C₂²×Dic₇₃	C₂⁴	1	1	yes	characteristic
392	C₂²×Dic₇₃	C₂⁴	1	1	yes	characteristic
393	C₂²×Dic₇₃	C₂⁴	1	1	yes	characteristic
394	C₂²×Dic₇₃	C₂⁴	1	1	yes	characteristic
395	C₂×C₄×D₇₃	—	2	2	no	—
396	C₂×C₄×D₇₃	—	4	1	no	—
397	C₂×C₄×D₇₃	—	4	1	no	—
398	C₂×C₄×D₇₃	—	4	1	no	—
399	C₂×C₄×D₇₃	—	4	1	no	—
400	C₂×C₄×D₇₃	—	4	1	no	—
401	C₂×C₄×D₇₃	—	4	1	no	—
402	C₂×C₄×D₇₃	—	4	1	no	—
403	C₂×C₄×D₇₃	—	4	1	no	—
404	C₂×C₄×D₇₃	—	4	1	no	—
405	C₂×C₄×D₇₃	—	4	1	no	—
406	C₂×C₄×D₇₃	—	4	1	no	—
407	C₂×C₄×D₇₃	—	4	1	no	—
408	C₂×C₄×D₇₃	—	4	1	no	—
409	C₂×C₄×D₇₃	—	4	1	no	—
410	C₂×C₄×D₇₃	—	4	1	no	—
411	C₂×C₄×D₇₃	C₂²×C₄	1	4	yes	—
412	C₂×C₄×D₇₃	C₂²×C₄	1	4	yes	—
413	C₄⋊Dic₇₃	—	4	1	no	—
414	C₄⋊Dic₇₃	—	4	1	no	—
415	C₄⋊Dic₇₃	—	4	1	no	—
416	C₄⋊Dic₇₃	—	4	1	no	—
417	C₄⋊Dic₇₃	C₂²×C₄	1	4	yes	—
418	#11924007	—	2	2	no	—
419	#11924007	—	2	2	no	—
420	#11924007	—	2	2	no	—
421	#11924007	—	4	1	no	—
422	#11924007	—	4	1	no	—
423	#11924007	—	4	1	no	—
424	#11924007	—	4	1	no	—
425	#11924007	—	4	1	no	—
426	#11924007	—	4	1	no	—
427	#11924007	—	4	1	no	—
428	#11924007	—	4	1	no	—
429	#11924007	—	4	1	no	—
430	#11924007	C₂²×C₄	1	4	yes	—
431	#11924007	C₂²×C₄	1	4	yes	—
432	#11924007	C₂²×C₄	1	4	yes	—
433	#11924007	C₂²×C₄	1	4	yes	—
434	#11924007	C₂²×C₄	1	4	yes	—
435	#11924007	C₂²×C₄	1	4	yes	—
436	C₂²⋊Dic₇₃	—	4	1	no	—
437	C₂²⋊Dic₇₃	—	4	1	no	—
438	C₂²⋊Dic₇₃	—	4	1	no	—
439	C₂²⋊Dic₇₃	—	4	1	no	—
440	C₂²⋊Dic₇₃	C₂²×C₄	1	4	yes	—
441	C₂²⋊Dic₇₃	C₂²×C₄	1	4	yes	—
442	#11924005	—	2	2	no	—
443	#11924005	—	2	2	no	—
444	#11924005	—	2	2	no	—
445	#11924005	—	4	1	no	—
446	#11924005	—	4	1	no	—
447	#11924005	—	4	1	no	—
448	#11924005	—	4	1	no	—
449	#11924005	—	4	1	no	—
450	#11924005	—	4	1	no	—
451	#11924005	—	4	1	no	—
452	#11924005	—	4	1	no	—
453	#11924005	—	4	1	no	—
454	#11924005	C₂²×C₄	1	4	yes	—
455	#11924005	C₂²×C₄	1	4	yes	—
456	#11924005	C₂²×C₄	1	4	yes	—
457	#11924005	C₂²×C₄	1	4	yes	—
458	#11924005	C₂²×C₄	1	4	yes	—
459	#11924005	C₂²×C₄	1	4	yes	—
460	#11924005	C₂²×C₄	1	4	yes	—
461	#11924005	C₂²×C₄	1	4	yes	—
462	C₄×Dic₇₃	—	2	2	no	—
463	C₄×Dic₇₃	—	4	1	no	—
464	C₄×Dic₇₃	—	4	1	no	—
465	C₄×Dic₇₃	—	4	1	no	—
466	C₄×Dic₇₃	—	4	1	no	—
467	C₄×Dic₇₃	—	4	1	no	—
468	C₄×Dic₇₃	—	4	1	no	—
469	C₄×Dic₇₃	—	4	1	no	—
470	C₄×Dic₇₃	—	4	1	no	—
471	C₄×Dic₇₃	—	4	1	no	—
472	C₄×Dic₇₃	—	4	1	no	—
473	C₄×Dic₇₃	—	4	1	no	—
474	C₄×Dic₇₃	—	4	1	no	—
475	C₄×Dic₇₃	—	4	1	no	—
476	C₄×Dic₇₃	C₂²×C₄	1	4	yes	—
477	C₄×Dic₇₃	C₂²×C₄	1	4	yes	—
478	C₄×Dic₇₃	C₂²×C₄	1	4	yes	—
479	C₄×Dic₇₃	C₂²×C₄	1	4	yes	—
480	C₂⁴×C₇₃	C₂⁴	1	1	yes	characteristic
481	C₂×Q₈×C₇₃	—	4	1	no	—
482	C₂×Q₈×C₇₃	—	4	1	no	—
483	C₂×Q₈×C₇₃	C₂²×C₄	1	4	yes	—
484	C₂²×C₄×C₇₃	—	2	2	no	—
485	C₂²×C₄×C₇₃	—	2	2	no	—
486	C₂²×C₄×C₇₃	—	4	1	no	—
487	C₂²×C₄×C₇₃	—	4	1	no	—
488	C₂²×C₄×C₇₃	—	4	1	no	—
489	C₂²×C₄×C₇₃	—	4	1	no	—
490	C₂²×C₄×C₇₃	—	4	1	no	—
491	C₂²×C₄×C₇₃	—	4	1	no	—
492	C₂²×C₄×C₇₃	C₂²×C₄	1	4	yes	—
493	C₂²×C₄×C₇₃	C₂⁴	1	1	yes	characteristic
494	C₂²×C₄×C₇₃	C₂⁴	1	1	yes	characteristic
495	C₂²×C₄×C₇₃	C₂⁴	1	1	yes	characteristic
496	C₂²×C₄×C₇₃	C₂⁴	1	1	yes	characteristic
497	C₂²×C₄×C₇₃	C₂⁴	1	1	yes	characteristic
498	C₂²×C₄×C₇₃	C₂⁴	1	1	yes	characteristic
499	C₂²×C₄×C₇₃	C₂⁴	1	1	yes	characteristic
500	C₂²×C₄×C₇₃	C₂⁴	1	1	yes	characteristic
501	C₂²×C₄×C₇₃	C₂⁴	1	1	yes	characteristic
502	C₂²×C₄×C₇₃	C₂⁴	1	1	yes	characteristic
503	C₂²×C₄×C₇₃	C₂⁴	1	1	yes	characteristic
504	C₂²×C₄×C₇₃	C₂⁴	1	1	yes	characteristic
505	C₂²×C₄×C₇₃	C₂⁴	1	1	yes	characteristic
506	C₂²×C₄×C₇₃	C₂⁴	1	1	yes	characteristic
507	C₄⋊C₄×C₇₃	—	2	2	no	—
508	C₄⋊C₄×C₇₃	—	2	2	no	—
509	C₄⋊C₄×C₇₃	—	4	1	no	—
510	C₄⋊C₄×C₇₃	—	4	1	no	—
511	C₄⋊C₄×C₇₃	—	4	1	no	—
512	C₄⋊C₄×C₇₃	—	4	1	no	—
513	C₄⋊C₄×C₇₃	C₂²×C₄	1	4	yes	—
514	C₄⋊C₄×C₇₃	C₂²×C₄	1	4	yes	—
515	C₄⋊C₄×C₇₃	C₂²×C₄	1	4	yes	—
516	C₂²⋊C₄×C₇₃	—	4	1	no	—
517	C₂²⋊C₄×C₇₃	—	4	1	no	—
518	C₂²⋊C₄×C₇₃	C₂²×C₄	1	4	yes	—
519	C₂²⋊C₄×C₇₃	C₂²×C₄	1	4	yes	—
520	C₄²×C₇₃	—	2	2	no	—
521	C₄²×C₇₃	—	2	2	no	—
522	C₄²×C₇₃	—	4	1	no	—
523	C₄²×C₇₃	—	4	1	no	—
524	C₄²×C₇₃	—	4	1	no	—
525	C₄²×C₇₃	—	4	1	no	—
526	C₄²×C₇₃	—	4	1	no	—
527	C₄²×C₇₃	—	4	1	no	—
528	C₂³×C₇₃	—	2	1	no	—
529	C₂³×C₇₃	—	2	1	no	—
530	C₂³×C₇₃	—	2	1	no	—
531	C₂³×C₇₃	—	2	1	no	—
532	C₂³×C₇₃	—	2	1	no	—
533	C₂³×C₇₃	—	2	1	no	—
534	C₂³×C₇₃	C₂³×C₄	1	2	yes	—
535	C₂³×C₇₃	C₂⁵	1	1	yes	characteristic
536	C₂²×D₇₃	—	2	1	no	—
537	C₂²×D₇₃	—	2	1	no	—
538	C₂²×D₇₃	—	2	1	no	—
539	C₂²×D₇₃	—	2	1	no	—
540	C₂²×D₇₃	—	2	1	no	—
541	C₂²×D₇₃	—	2	1	no	—
542	C₂²×D₇₃	—	2	1	no	—
543	C₂²×D₇₃	—	2	1	no	—
544	C₂²×D₇₃	—	2	1	no	—
545	C₂²×D₇₃	—	2	1	no	—
546	C₂²×D₇₃	—	2	1	no	—
547	C₂²×D₇₃	—	2	1	no	—
548	C₂²×D₇₃	C₂³×C₄	1	2	yes	—
549	C₂²×D₇₃	C₂³×C₄	1	2	yes	—
550	Q₈×C₇₃	—	4	4	no	—
551	C₂×C₄×C₇₃	—	2	1	no	—
552	C₂×C₄×C₇₃	—	2	1	no	—
553	C₂×C₄×C₇₃	—	2	1	no	—
554	C₂×C₄×C₇₃	—	2	1	no	—
555	C₂×C₄×C₇₃	—	2	1	no	—
556	C₂×C₄×C₇₃	—	2	1	no	—
557	C₂×C₄×C₇₃	—	2	1	no	—
558	C₂×C₄×C₇₃	—	2	1	no	—
559	C₂×C₄×C₇₃	—	2	1	no	—
560	C₂×C₄×C₇₃	—	2	1	no	—
561	C₂×C₄×C₇₃	—	2	1	no	—
562	C₂×C₄×C₇₃	—	2	1	no	—
563	C₂×C₄×C₇₃	—	2	1	no	—
564	C₂×C₄×C₇₃	—	2	1	no	—
565	C₂×C₄×C₇₃	—	2	1	no	—
566	C₂×C₄×C₇₃	—	2	1	no	—
567	C₂×C₄×C₇₃	—	2	1	no	—
568	C₂×C₄×C₇₃	—	2	1	no	—
569	C₂×C₄×C₇₃	—	2	1	no	—
570	C₂×C₄×C₇₃	—	2	1	no	—
571	C₂×C₄×C₇₃	—	2	1	no	—
572	C₂×C₄×C₇₃	—	2	1	no	—
573	C₂×C₄×C₇₃	—	2	1	no	—
574	C₂×C₄×C₇₃	—	2	1	no	—
575	C₂×C₄×C₇₃	—	2	1	no	—
576	C₂×C₄×C₇₃	—	2	1	no	—
577	C₂×C₄×C₇₃	—	2	1	no	—
578	C₂×C₄×C₇₃	—	2	1	no	—
579	C₂×C₄×C₇₃	—	2	1	no	—
580	C₂×C₄×C₇₃	—	2	1	no	—
581	C₂×C₄×C₇₃	—	2	1	no	—
582	C₂×C₄×C₇₃	—	2	1	no	—
583	C₂×C₄×C₇₃	—	2	1	no	—
584	C₂×C₄×C₇₃	—	2	1	no	—
585	C₂×C₄×C₇₃	—	4	4	no	—
586	C₂×C₄×C₇₃	—	4	4	no	—
587	C₂×C₄×C₇₃	—	4	4	no	—
588	C₂×C₄×C₇₃	C₂³×C₄	1	2	yes	—
589	C₂×C₄×C₇₃	C₂³×C₄	1	2	yes	—
590	C₂×C₄×C₇₃	C₂³×C₄	1	2	yes	—
591	C₂×C₄×C₇₃	C₂³×C₄	1	2	yes	—
592	C₂×C₄×C₇₃	C₂³×C₄	1	2	yes	—
593	C₂×C₄×C₇₃	C₂³×C₄	1	2	yes	—
594	C₂×C₄×C₇₃	H(5,𝔽₂)	1	2	yes	—
595	C₂×C₄×C₇₃	2₋¹⁺⁴	1	2	yes	—
596	C₂²⋊D₇₃	—	4	4	no	—
597	C₂²⋊D₇₃	—	4	4	no	—
598	C₂×Dic₇₃	—	2	1	no	—
599	C₂×Dic₇₃	—	2	1	no	—
600	C₂×Dic₇₃	—	2	1	no	—
601	C₂×Dic₇₃	—	2	1	no	—
602	C₂×Dic₇₃	—	2	1	no	—
603	C₂×Dic₇₃	—	2	1	no	—
604	C₂×Dic₇₃	—	2	1	no	—
605	C₂×Dic₇₃	—	2	1	no	—
606	C₂×Dic₇₃	—	2	1	no	—
607	C₂×Dic₇₃	—	2	1	no	—
608	C₂×Dic₇₃	—	2	1	no	—
609	C₂×Dic₇₃	—	2	1	no	—
610	C₂×Dic₇₃	—	2	1	no	—
611	C₂×Dic₇₃	—	2	1	no	—
612	C₂×Dic₇₃	—	2	1	no	—
613	C₂×Dic₇₃	—	2	1	no	—
614	C₂×Dic₇₃	—	2	1	no	—
615	C₂×Dic₇₃	—	2	1	no	—
616	C₂×Dic₇₃	—	2	1	no	—
617	C₂×Dic₇₃	—	2	1	no	—
618	C₂×Dic₇₃	—	2	1	no	—
619	C₂×Dic₇₃	—	2	1	no	—
620	C₂×Dic₇₃	—	2	1	no	—
621	C₂×Dic₇₃	—	2	1	no	—
622	C₂×Dic₇₃	—	2	1	no	—
623	C₂×Dic₇₃	—	2	1	no	—
624	C₂×Dic₇₃	—	2	1	no	—
625	C₂×Dic₇₃	—	2	1	no	—
626	C₂×Dic₇₃	—	2	1	no	—
627	C₂×Dic₇₃	—	2	1	no	—
628	C₂×Dic₇₃	—	2	1	no	—
629	C₂×Dic₇₃	—	2	1	no	—
630	C₂×Dic₇₃	—	2	1	no	—
631	C₂×Dic₇₃	—	2	1	no	—
632	C₂×Dic₇₃	—	2	1	no	—
633	C₂×Dic₇₃	—	2	1	no	—
634	C₂×Dic₇₃	C₂³×C₄	1	2	yes	—
635	C₂×Dic₇₃	C₂³×C₄	1	2	yes	—
636	C₂×Dic₇₃	C₂³×C₄	1	2	yes	—
637	C₂×Dic₇₃	C₂³×C₄	1	2	yes	—
638	C₂×Dic₇₃	C₂³×C₄	1	2	yes	—
639	C₂×Dic₇₃	C₂³×C₄	1	2	yes	—
640	D₂₉₂	—	4	4	no	—
641	C₄×D₇₃	—	4	4	no	—
642	C₄×D₇₃	—	4	4	no	—
643	C₄×D₇₃	—	8	2	no	—
644	C₄×D₇₃	—	8	2	no	—
645	C₄×D₇₃	—	8	2	no	—
646	C₄×D₇₃	—	8	2	no	—
647	Dic₁₄₆	—	4	4	no	—
648	Dic₁₄₆	—	4	4	no	—
649	C₂²×C₇₃	—	2	2	no	—
650	C₂²×C₇₃	—	2	2	no	—
651	C₂²×C₇₃	—	2	2	no	—
652	C₂²×C₇₃	—	4	1	no	—
653	C₂²×C₇₃	—	4	1	no	—
654	C₂²×C₇₃	—	4	1	no	—
655	C₂²×C₇₃	—	4	1	no	—
656	C₂²×C₇₃	C₂⁴×C₄	1	1	yes	characteristic
657	C₂²×C₇₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
658	C₂²×C₇₃	C₂×2₋¹⁺⁴	1	1	yes	characteristic
659	C₂²×C₇₃	#585	1	1	yes	characteristic
660	C₂²×C₇₃	#585	1	1	yes	characteristic
661	C₂²×C₇₃	#585	1	1	yes	characteristic
662	C₂²×C₇₃	#585	1	1	yes	characteristic
663	C₂×D₇₃	—	2	2	no	—
664	C₂×D₇₃	—	2	2	no	—
665	C₂×D₇₃	—	2	2	no	—
666	C₂×D₇₃	—	2	2	no	—
667	C₂×D₇₃	—	2	2	no	—
668	C₂×D₇₃	—	2	2	no	—
669	C₂×D₇₃	—	4	1	no	—
670	C₂×D₇₃	—	4	1	no	—
671	C₂×D₇₃	—	4	1	no	—
672	C₂×D₇₃	—	4	1	no	—
673	C₂×D₇₃	—	4	1	no	—
674	C₂×D₇₃	—	4	1	no	—
675	C₂×D₇₃	—	4	1	no	—
676	C₂×D₇₃	—	4	1	no	—
677	C₄×C₇₃	—	2	2	no	—
678	C₄×C₇₃	—	2	2	no	—
679	C₄×C₇₃	—	2	2	no	—
680	C₄×C₇₃	—	2	2	no	—
681	C₄×C₇₃	—	2	2	no	—
682	C₄×C₇₃	—	2	2	no	—
683	C₄×C₇₃	—	2	2	no	—
684	C₄×C₇₃	—	2	2	no	—
685	C₄×C₇₃	—	4	1	no	—
686	C₄×C₇₃	—	4	1	no	—
687	C₄×C₇₃	—	4	1	no	—
688	C₄×C₇₃	—	4	1	no	—
689	C₄×C₇₃	—	4	1	no	—
690	C₄×C₇₃	—	4	1	no	—
691	Dic₇₃	—	2	2	no	—
692	Dic₇₃	—	2	2	no	—
693	Dic₇₃	—	2	2	no	—
694	Dic₇₃	—	2	2	no	—
695	Dic₇₃	—	2	2	no	—
696	Dic₇₃	—	2	2	no	—
697	Dic₇₃	—	4	1	no	—
698	Dic₇₃	—	4	1	no	—
699	Dic₇₃	—	4	1	no	—
700	Dic₇₃	—	4	1	no	—
701	Dic₇₃	—	4	1	no	—
702	Dic₇₃	—	4	1	no	—
703	Dic₇₃	—	4	1	no	—
704	Dic₇₃	—	4	1	no	—
705	#34448	—	73	1	no	maximal, Sylow
706	C₂×C₇₃	—	4	2	no	—
707	C₂×C₇₃	#3428	1	1	yes	characteristic
708	C₂×C₇₃	C₄×H(5,𝔽₂)	1	1	yes	characteristic
709	C₂×C₇₃	C₄×2₋¹⁺⁴	1	1	yes	characteristic
710	C₂×C₇₃	#3533	1	1	yes	characteristic
711	C₂×C₇₃	#3541	1	1	yes	characteristic
712	C₂×C₇₃	#3557	1	1	yes	characteristic
713	C₂×C₇₃	#3568	1	1	yes	characteristic
714	D₇₃	—	4	2	no	—
715	D₇₃	—	4	2	no	—
716	C₂×#542	—	73	1	no	—
717	#2383	—	73	1	no	—
718	#2381	—	73	1	no	—
719	#2379	—	73	1	no	—
720	#2378	—	73	1	no	—
721	#2374	—	73	1	no	—
722	#2373	—	73	1	no	—
723	#2368	—	73	1	no	—
724	#2368	—	73	1	no	—
725	#2367	—	73	1	no	—
726	#2365	—	73	1	no	—
727	#2362	—	73	1	no	—
728	#2359	—	73	1	no	—
729	#2356	—	73	1	no	—
730	#2355	—	73	1	no	—
731	#2347	—	73	1	no	—
732	#2343	—	73	1	no	—
733	#2337	—	73	1	no	—
734	#2337	—	73	1	no	—
735	#2337	—	73	1	no	—
736	#2335	—	73	1	no	—
737	#2334	—	73	1	no	—
738	#2334	—	73	1	no	—
739	#2333	—	73	1	no	—
740	#2332	—	73	1	no	—
741	#2326	—	73	1	no	—
742	#2325	—	73	1	no	—
743	#2318	—	73	1	no	—
744	C₄×C₂²⋊Q₈	D₇₃	1	1	yes	characteristic, complemented
745	C₄×#123	—	73	1	no	—
746	#2290	—	73	1	no	—
747	C₇₃	#34448	1	1	yes	characteristic, complemented, Sylow
748	#542	—	73	16	no	—
749	C₂×C₄⋊Q₈	—	73	1	no	—
750	C₂×#126	—	73	1	no	—
751	C₂×#126	—	73	1	no	—
752	C₂×#124	—	73	1	no	—
753	C₂×#124	—	73	1	no	—
754	C₂×#124	—	73	1	no	—
755	C₂×#123	—	73	1	no	—
756	C₂×#123	—	73	1	no	—
757	C₂×C₂²⋊Q₈	—	73	1	no	—
758	C₂×C₂²⋊Q₈	—	73	1	no	—
759	C₂×C₂²⋊Q₈	C₂×D₇₃	1	1	yes	characteristic
760	C₂×#121	—	73	1	no	—
761	C₂×C₄×Q₈	—	73	1	no	—
762	C₂×C₄×Q₈	—	73	1	no	—
763	C₂×C₄×Q₈	C₂×D₇₃	1	1	yes	characteristic
764	C₂×C₄×D₄	—	73	1	no	—
765	C₂×C₄×D₄	—	73	1	no	—
766	C₂×C₄×D₄	—	73	1	no	—
767	C₂×#117	—	73	1	no	—
768	C₂×#117	—	73	1	no	—
769	C₂²×C₄²	C₂×D₇₃	1	1	yes	characteristic
770	#391	—	73	1	no	—
771	#391	—	73	1	no	—
772	#391	—	73	1	no	—
773	#391	—	73	1	no	—
774	#391	—	73	1	no	—
775	#391	—	73	1	no	—
776	#391	—	73	1	no	—
777	#391	—	73	1	no	—
778	#391	—	73	1	no	—
779	#391	C₂×D₇₃	1	1	yes	characteristic
780	#390	—	73	1	no	—
781	#390	—	73	1	no	—
782	#389	—	73	1	no	—
783	#389	—	73	1	no	—
784	#389	—	73	1	no	—
785	#389	—	73	1	no	—
786	#389	—	73	1	no	—
787	#389	C₂×D₇₃	1	1	yes	characteristic
788	#388	—	73	1	no	—
789	#388	—	73	1	no	—
790	#388	—	73	1	no	—
791	#388	—	73	1	no	—
792	#388	—	73	1	no	—
793	#388	—	73	1	no	—
794	#388	—	73	1	no	—
795	#388	—	73	1	no	—
796	#388	—	73	1	no	—
797	#388	—	73	1	no	—
798	#388	—	73	1	no	—
799	#388	—	73	1	no	—
800	#388	—	73	1	no	—
801	#388	—	73	1	no	—
802	#388	—	73	1	no	—
803	#388	—	73	1	no	—
804	#388	—	73	1	no	—
805	#388	—	73	1	no	—
806	#388	—	73	1	no	—
807	#388	—	73	1	no	—
808	#388	—	73	1	no	—
809	#388	—	73	1	no	—
810	#388	—	73	1	no	—
811	#388	—	73	1	no	—
812	#387	—	73	1	no	—
813	#387	—	73	1	no	—
814	#387	—	73	1	no	—
815	#387	—	73	1	no	—
816	#387	—	73	1	no	—
817	#387	—	73	1	no	—
818	#387	—	73	1	no	—
819	#387	—	73	1	no	—
820	#387	—	73	1	no	—
821	#387	—	73	1	no	—
822	#387	—	73	1	no	—
823	#387	—	73	1	no	—
824	#387	—	73	1	no	—
825	#387	—	73	1	no	—
826	#387	—	73	1	no	—
827	#387	—	73	1	no	—
828	#387	—	73	1	no	—
829	#387	—	73	1	no	—
830	#387	—	73	1	no	—
831	#387	—	73	1	no	—
832	#387	—	73	1	no	—
833	#387	—	73	1	no	—
834	#387	C₂×D₇₃	1	1	yes	characteristic
835	#387	C₂×D₇₃	1	1	yes	characteristic
836	#386	—	73	1	no	—
837	#386	—	73	1	no	—
838	#386	—	73	1	no	—
839	#386	—	73	1	no	—
840	#386	—	73	1	no	—
841	#386	—	73	1	no	—
842	#386	—	73	1	no	—
843	#386	—	73	1	no	—
844	#385	—	73	1	no	—
845	#385	—	73	1	no	—
846	#385	—	73	1	no	—
847	#385	—	73	1	no	—
848	#385	—	73	1	no	—
849	#385	—	73	1	no	—
850	#385	—	73	1	no	—
851	#385	—	73	1	no	—
852	#385	—	73	1	no	—
853	#385	—	73	1	no	—
854	#385	—	73	1	no	—
855	#385	—	73	1	no	—
856	#385	C₂×D₇₃	1	1	yes	characteristic
857	#385	C₂×D₇₃	1	1	yes	characteristic
858	#384	—	73	1	no	—
859	#383	—	73	1	no	—
860	#383	—	73	1	no	—
861	#383	—	73	1	no	—
862	#383	—	73	1	no	—
863	#382	—	73	1	no	—
864	#382	—	73	1	no	—
865	#382	—	73	1	no	—
866	#381	—	73	1	no	—
867	#381	—	73	1	no	—
868	#380	—	73	1	no	—
869	#380	C₂×D₇₃	1	1	yes	characteristic
870	C₄×C₄⋊C₄	—	73	1	no	—
871	C₄×C₄⋊C₄	—	73	1	no	—
872	C₄×C₄⋊C₄	—	73	1	no	—
873	C₄×C₄⋊C₄	—	73	1	no	—
874	C₄×C₄⋊C₄	—	73	1	no	—
875	C₄×C₄⋊C₄	—	73	1	no	—
876	C₄×C₄⋊C₄	—	73	1	no	—
877	C₄×C₄⋊C₄	—	73	1	no	—
878	C₄×C₄⋊C₄	—	73	1	no	—
879	C₄×C₄⋊C₄	—	73	1	no	—
880	C₄×C₄⋊C₄	—	73	1	no	—
881	C₄×C₄⋊C₄	—	73	1	no	—
882	C₄×C₄⋊C₄	—	73	1	no	—
883	C₄×C₄⋊C₄	C₂×D₇₃	1	1	yes	characteristic
884	C₄×C₄⋊C₄	C₂×D₇₃	1	1	yes	characteristic
885	C₄×C₄⋊C₄	C₂×D₇₃	1	1	yes	characteristic
886	C₄×C₂²⋊C₄	—	73	1	no	—
887	C₄×C₂²⋊C₄	—	73	1	no	—
888	C₄×C₂²⋊C₄	—	73	1	no	—
889	C₄×C₂²⋊C₄	—	73	1	no	—
890	C₄×C₂²⋊C₄	—	73	1	no	—
891	C₄×C₂²⋊C₄	—	73	1	no	—
892	C₄×C₂²⋊C₄	—	73	1	no	—
893	C₄×C₂²⋊C₄	—	73	1	no	—
894	C₄×C₂²⋊C₄	—	73	1	no	—
895	C₄×C₂²⋊C₄	—	73	1	no	—
896	C₄×C₂²⋊C₄	—	73	1	no	—
897	C₄×C₂²⋊C₄	—	73	1	no	—
898	C₄×C₂²⋊C₄	C₂×D₇₃	1	1	yes	characteristic
899	C₄×C₂²⋊C₄	C₂×D₇₃	1	1	yes	characteristic
900	#376	—	73	1	no	—
901	#376	—	73	1	no	—
902	C₂×#95	—	73	1	no	—
903	C₂×#95	—	73	1	no	—
904	C₂²×Q₈	—	73	1	no	—
905	C₂²×Q₈	—	73	1	no	—
906	C₂²×Q₈	C₂²×D₇₃	1	1	yes	characteristic
907	C₂²×D₄	—	73	1	no	—
908	C₂²×D₄	—	73	1	no	—
909	C₂²×D₄	—	73	1	no	—
910	C₂³×C₄	—	73	1	no	—
911	C₂³×C₄	—	73	1	no	—
912	C₂³×C₄	—	73	1	no	—
913	C₂³×C₄	—	73	1	no	—
914	C₂³×C₄	—	73	1	no	—
915	C₂³×C₄	—	73	1	no	—
916	C₂³×C₄	C₂²×D₇₃	1	1	yes	characteristic
917	C₂³×C₄	C₂²×D₇₃	1	1	yes	characteristic
918	C₂³×C₄	C₂²×D₇₃	1	1	yes	characteristic
919	C₄⋊Q₈	—	73	8	no	—
920	#126	—	73	8	no	—
921	#126	—	73	8	no	—
922	#124	—	73	8	no	—
923	#124	—	73	8	no	—
924	#124	—	73	8	no	—
925	#123	—	73	8	no	—
926	#123	—	73	8	no	—
927	C₂²⋊Q₈	—	73	8	no	—
928	C₂²⋊Q₈	—	73	8	no	—
929	C₂²⋊Q₈	C₄×D₇₃	1	8	yes	complemented
930	#121	—	73	8	no	—
931	C₄×Q₈	—	4	2	no	—
932	C₄×Q₈	—	292	2	no	—
933	C₄×Q₈	—	73	8	no	—
934	C₄×D₄	—	292	2	no	—
935	C₄×D₄	—	292	2	no	—
936	C₄×D₄	—	73	8	no	—
937	#117	—	292	2	no	—
938	#117	—	73	8	no	—
939	C₂×C₄⋊C₄	—	73	1	no	—
940	C₂×C₄⋊C₄	—	73	1	no	—
941	C₂×C₄⋊C₄	—	73	1	no	—
942	C₂×C₄⋊C₄	—	73	1	no	—
943	C₂×C₄⋊C₄	—	73	1	no	—
944	C₂×C₄⋊C₄	—	73	1	no	—
945	C₂×C₄⋊C₄	—	73	1	no	—
946	C₂×C₄⋊C₄	—	73	1	no	—
947	C₂×C₄⋊C₄	—	73	1	no	—
948	C₂×C₄⋊C₄	—	73	1	no	—
949	C₂×C₄⋊C₄	—	73	1	no	—
950	C₂×C₄⋊C₄	—	73	1	no	—
951	C₂×C₄⋊C₄	—	73	1	no	—
952	C₂×C₄⋊C₄	—	73	1	no	—
953	C₂×C₄⋊C₄	—	73	1	no	—
954	C₂×C₄⋊C₄	—	73	1	no	—
955	C₂×C₄⋊C₄	—	73	1	no	—
956	C₂×C₄⋊C₄	—	73	1	no	—
957	C₂×C₄⋊C₄	—	73	1	no	—
958	C₂×C₄⋊C₄	—	73	1	no	—
959	C₂×C₄⋊C₄	—	73	1	no	—
960	C₂×C₄⋊C₄	—	73	1	no	—
961	C₂×C₄⋊C₄	—	73	1	no	—
962	C₂×C₄⋊C₄	C₂²×D₇₃	1	1	yes	characteristic
963	C₂×C₄⋊C₄	C₂²×D₇₃	1	1	yes	characteristic
964	C₂×C₄⋊C₄	C₂²×D₇₃	1	1	yes	characteristic
965	C₂×C₄⋊C₄	C₂²×D₇₃	1	1	yes	characteristic
966	C₂×C₄⋊C₄	C₂²×D₇₃	1	1	yes	characteristic
967	C₂×C₄⋊C₄	C₂²×D₇₃	1	1	yes	characteristic
968	C₂×C₄⋊C₄	C₂²×D₇₃	1	1	yes	characteristic
969	C₂×C₄⋊C₄	C₂²×D₇₃	1	1	yes	characteristic
970	C₂×C₄⋊C₄	C₂²×D₇₃	1	1	yes	characteristic
971	C₂×C₂²⋊C₄	—	73	1	no	—
972	C₂×C₂²⋊C₄	—	73	1	no	—
973	C₂×C₂²⋊C₄	—	73	1	no	—
974	C₂×C₂²⋊C₄	—	73	1	no	—
975	C₂×C₂²⋊C₄	—	73	1	no	—
976	C₂×C₂²⋊C₄	—	73	1	no	—
977	C₂×C₂²⋊C₄	—	73	1	no	—
978	C₂×C₂²⋊C₄	—	73	1	no	—
979	C₂×C₂²⋊C₄	—	73	1	no	—
980	C₂×C₂²⋊C₄	—	73	1	no	—
981	C₂×C₂²⋊C₄	—	73	1	no	—
982	C₂×C₂²⋊C₄	—	73	1	no	—
983	C₂×C₂²⋊C₄	—	73	1	no	—
984	C₂×C₂²⋊C₄	—	73	1	no	—
985	C₂×C₂²⋊C₄	—	73	1	no	—
986	C₂×C₂²⋊C₄	—	73	1	no	—
987	C₂×C₂²⋊C₄	—	73	1	no	—
988	C₂×C₂²⋊C₄	—	73	1	no	—
989	C₂×C₂²⋊C₄	—	73	1	no	—
990	C₂×C₂²⋊C₄	—	73	1	no	—
991	C₂×C₂²⋊C₄	—	73	1	no	—
992	C₂×C₂²⋊C₄	—	73	1	no	—
993	C₂×C₂²⋊C₄	—	73	1	no	—
994	C₂×C₂²⋊C₄	—	73	1	no	—
995	C₂×C₂²⋊C₄	—	73	1	no	—
996	C₂×C₂²⋊C₄	—	73	1	no	—
997	C₂×C₂²⋊C₄	C₂²×D₇₃	1	1	yes	characteristic
998	C₂×C₂²⋊C₄	C₂²×D₇₃	1	1	yes	characteristic
999	C₂×C₂²⋊C₄	C₂²×D₇₃	1	1	yes	characteristic
1000	C₂×C₂²⋊C₄	C₂²×D₇₃	1	1	yes	characteristic
1001	C₂×C₄²	—	4	2	no	—
1002	C₂×C₄²	—	73	1	no	—
1003	C₂×C₄²	—	73	1	no	—
1004	C₂×C₄²	—	73	1	no	—
1005	C₂×C₄²	—	73	1	no	—
1006	C₂×C₄²	—	73	1	no	—
1007	C₂×C₄²	—	73	1	no	—
1008	C₂×C₄²	—	73	1	no	—
1009	C₂×C₄²	—	73	1	no	—
1010	C₂×C₄²	—	73	1	no	—
1011	C₂×C₄²	—	73	1	no	—
1012	C₂×C₄²	—	73	1	no	—
1013	C₂×C₄²	—	73	1	no	—
1014	C₂×C₄²	—	73	1	no	—
1015	C₂×C₄²	—	73	1	no	—
1016	C₂×C₄²	—	73	1	no	—
1017	C₂×C₄²	—	73	1	no	—
1018	C₂×C₄²	—	73	1	no	—
1019	C₂×C₄²	—	73	1	no	—
1020	C₂×C₄²	C₂²×D₇₃	1	1	yes	characteristic
1021	C₂×C₄²	C₂²×D₇₃	1	1	yes	characteristic
1022	C₂×C₄²	C₂²×D₇₃	1	1	yes	characteristic
1023	C₂×C₄²	C₂²×D₇₃	1	1	yes	characteristic
1024	C₂×C₄²	C₂²×D₇₃	1	1	yes	characteristic
1025	C₂×C₄²	C₂²×D₇₃	1	1	yes	characteristic
1026	C₂×C₄²	C₂²×D₇₃	1	1	yes	characteristic
1027	C₂×C₄²	C₂²×D₇₃	1	1	yes	characteristic
1028	#95	—	73	1	no	—
1029	#95	—	73	1	no	—
1030	#95	—	73	1	no	—
1031	#95	—	73	1	no	—
1032	#95	—	73	1	no	—
1033	#95	—	73	1	no	—
1034	#95	—	73	1	no	—
1035	#95	—	73	1	no	—
1036	#95	—	73	1	no	—
1037	#95	—	73	1	no	—
1038	#95	—	73	1	no	—
1039	#95	—	73	1	no	—
1040	#95	—	73	1	no	—
1041	#95	—	73	1	no	—
1042	#95	—	73	1	no	—
1043	#95	—	73	1	no	—
1044	#95	—	73	1	no	—
1045	#95	—	73	1	no	—
1046	#95	—	73	1	no	—
1047	#95	—	73	1	no	—
1048	#95	—	73	1	no	—
1049	#95	—	73	1	no	—
1050	#95	—	73	1	no	—
1051	#95	—	73	1	no	—
1052	#95	—	73	1	no	—
1053	#95	—	73	1	no	—
1054	#95	—	73	1	no	—
1055	#95	—	73	1	no	—
1056	#95	—	73	1	no	—
1057	#95	—	73	1	no	—
1058	#95	—	73	1	no	—
1059	#95	—	73	1	no	—
1060	#95	—	73	1	no	—
1061	#95	—	73	1	no	—
1062	#95	—	73	1	no	—
1063	#95	—	73	1	no	—
1064	#95	—	73	1	no	—
1065	#95	—	73	1	no	—
1066	#95	—	73	1	no	—
1067	#95	—	73	1	no	—
1068	#95	—	73	1	no	—
1069	#95	—	73	1	no	—
1070	#95	C₂²×D₇₃	1	1	yes	characteristic
1071	#95	C₂²×D₇₃	1	1	yes	characteristic
1072	#95	C₂²×D₇₃	1	1	yes	characteristic
1073	#95	C₂²×D₇₃	1	1	yes	characteristic
1074	#95	C₂²×D₇₃	1	1	yes	characteristic
1075	#95	C₂²×D₇₃	1	1	yes	characteristic
1076	#95	C₂²×D₇₃	1	1	yes	characteristic
1077	#95	C₂²×D₇₃	1	1	yes	characteristic
1078	#95	C₂²×D₇₃	1	1	yes	characteristic
1079	#95	C₂²×D₇₃	1	1	yes	characteristic
1080	C₂⁴	—	73	1	no	—
1081	C₂⁴	—	73	1	no	—
1082	C₂⁴	C₂³×D₇₃	1	1	yes	characteristic
1083	C₂×Q₈	—	4	1	no	—
1084	C₂×Q₈	—	4	1	no	—
1085	C₂×Q₈	—	292	1	no	—
1086	C₂×Q₈	—	292	1	no	—
1087	C₂×Q₈	—	292	1	no	—
1088	C₂×Q₈	—	292	1	no	—
1089	C₂×Q₈	—	73	4	no	—
1090	C₂×Q₈	—	73	4	no	—
1091	C₂×Q₈	C₂×C₄×D₇₃	1	4	yes	—
1092	C₂×D₄	—	292	1	no	—
1093	C₂×D₄	—	292	1	no	—
1094	C₂×D₄	—	292	1	no	—
1095	C₂×D₄	—	292	1	no	—
1096	C₂×D₄	—	292	1	no	—
1097	C₂×D₄	—	292	1	no	—
1098	C₂×D₄	—	73	4	no	—
1099	C₂×D₄	—	73	4	no	—
1100	C₂×D₄	—	73	4	no	—
1101	C₂²×C₄	—	2	2	no	—
1102	C₂²×C₄	—	2	2	no	—
1103	C₂²×C₄	—	4	1	no	—
1104	C₂²×C₄	—	4	1	no	—
1105	C₂²×C₄	—	4	1	no	—
1106	C₂²×C₄	—	4	1	no	—
1107	C₂²×C₄	—	4	1	no	—
1108	C₂²×C₄	—	4	1	no	—
1109	C₂²×C₄	—	292	1	no	—
1110	C₂²×C₄	—	292	1	no	—
1111	C₂²×C₄	—	292	1	no	—
1112	C₂²×C₄	—	292	1	no	—
1113	C₂²×C₄	—	292	1	no	—
1114	C₂²×C₄	—	292	1	no	—
1115	C₂²×C₄	—	292	1	no	—
1116	C₂²×C₄	—	292	1	no	—
1117	C₂²×C₄	—	292	1	no	—
1118	C₂²×C₄	—	292	1	no	—
1119	C₂²×C₄	—	292	1	no	—
1120	C₂²×C₄	—	292	1	no	—
1121	C₂²×C₄	—	292	1	no	—
1122	C₂²×C₄	—	292	1	no	—
1123	C₂²×C₄	—	292	1	no	—
1124	C₂²×C₄	—	73	4	no	—
1125	C₂²×C₄	—	73	4	no	—
1126	C₂²×C₄	—	73	1	no	—
1127	C₂²×C₄	—	73	1	no	—
1128	C₂²×C₄	—	73	1	no	—
1129	C₂²×C₄	—	73	1	no	—
1130	C₂²×C₄	—	73	1	no	—
1131	C₂²×C₄	—	73	1	no	—
1132	C₂²×C₄	—	73	1	no	—
1133	C₂²×C₄	—	73	1	no	—
1134	C₂²×C₄	—	73	1	no	—
1135	C₂²×C₄	—	73	1	no	—
1136	C₂²×C₄	—	73	1	no	—
1137	C₂²×C₄	—	73	1	no	—
1138	C₂²×C₄	—	73	1	no	—
1139	C₂²×C₄	—	73	1	no	—
1140	C₂²×C₄	—	146	2	no	—
1141	C₂²×C₄	C₂×C₄×D₇₃	1	4	yes	—
1142	C₂²×C₄	C₂³×D₇₃	1	1	yes	characteristic
1143	C₂²×C₄	C₂³×D₇₃	1	1	yes	characteristic
1144	C₂²×C₄	C₂³×D₇₃	1	1	yes	characteristic
1145	C₂²×C₄	C₂³×D₇₃	1	1	yes	characteristic
1146	C₂²×C₄	C₂³×D₇₃	1	1	yes	characteristic
1147	C₂²×C₄	C₂³×D₇₃	1	1	yes	characteristic
1148	C₂²×C₄	C₂³×D₇₃	1	1	yes	characteristic
1149	C₂²×C₄	C₂³×D₇₃	1	1	yes	characteristic
1150	C₂²×C₄	C₂³×D₇₃	1	1	yes	characteristic
1151	C₂²×C₄	C₂³×D₇₃	1	1	yes	characteristic
1152	C₂²×C₄	C₂³×D₇₃	1	1	yes	characteristic
1153	C₂²×C₄	C₂³×D₇₃	1	1	yes	characteristic
1154	C₂²×C₄	C₂³×D₇₃	1	1	yes	characteristic
1155	C₂²×C₄	C₂³×D₇₃	1	1	yes	characteristic
1156	C₄⋊C₄	—	2	2	no	—
1157	C₄⋊C₄	—	2	2	no	—
1158	C₄⋊C₄	—	4	1	no	—
1159	C₄⋊C₄	—	4	1	no	—
1160	C₄⋊C₄	—	4	1	no	—
1161	C₄⋊C₄	—	4	1	no	—
1162	C₄⋊C₄	—	292	1	no	—
1163	C₄⋊C₄	—	292	1	no	—
1164	C₄⋊C₄	—	292	1	no	—
1165	C₄⋊C₄	—	292	1	no	—
1166	C₄⋊C₄	—	292	1	no	—
1167	C₄⋊C₄	—	292	1	no	—
1168	C₄⋊C₄	—	292	1	no	—
1169	C₄⋊C₄	—	292	1	no	—
1170	C₄⋊C₄	—	292	1	no	—
1171	C₄⋊C₄	—	292	1	no	—
1172	C₄⋊C₄	—	292	1	no	—
1173	C₄⋊C₄	—	292	1	no	—
1174	C₄⋊C₄	—	292	1	no	—
1175	C₄⋊C₄	—	73	4	no	—
1176	C₄⋊C₄	—	73	4	no	—
1177	C₄⋊C₄	—	73	4	no	—
1178	C₄⋊C₄	—	73	4	no	—
1179	C₄⋊C₄	—	73	4	no	—
1180	C₄⋊C₄	—	73	4	no	—
1181	C₄⋊C₄	—	73	4	no	—
1182	C₄⋊C₄	—	146	2	no	—
1183	C₄⋊C₄	—	146	2	no	—
1184	C₄⋊C₄	—	146	2	no	—
1185	C₄⋊C₄	C₂×C₄×D₇₃	1	4	yes	—
1186	C₄⋊C₄	C₂×C₄×D₇₃	1	4	yes	—
1187	C₄⋊C₄	C₂×C₄×D₇₃	1	4	yes	—
1188	C₂²⋊C₄	—	4	1	no	—
1189	C₂²⋊C₄	—	4	1	no	—
1190	C₂²⋊C₄	—	292	1	no	—
1191	C₂²⋊C₄	—	292	1	no	—
1192	C₂²⋊C₄	—	292	1	no	—
1193	C₂²⋊C₄	—	292	1	no	—
1194	C₂²⋊C₄	—	292	1	no	—
1195	C₂²⋊C₄	—	292	1	no	—
1196	C₂²⋊C₄	—	292	1	no	—
1197	C₂²⋊C₄	—	292	1	no	—
1198	C₂²⋊C₄	—	292	1	no	—
1199	C₂²⋊C₄	—	292	1	no	—
1200	C₂²⋊C₄	—	292	1	no	—
1201	C₂²⋊C₄	—	292	1	no	—
1202	C₂²⋊C₄	—	292	1	no	—
1203	C₂²⋊C₄	—	73	4	no	—
1204	C₂²⋊C₄	—	73	4	no	—
1205	C₂²⋊C₄	—	73	4	no	—
1206	C₂²⋊C₄	—	73	4	no	—
1207	C₂²⋊C₄	—	73	4	no	—
1208	C₂²⋊C₄	—	73	4	no	—
1209	C₂²⋊C₄	—	73	4	no	—
1210	C₂²⋊C₄	—	73	4	no	—
1211	C₂²⋊C₄	—	73	4	no	—
1212	C₂²⋊C₄	—	73	4	no	—
1213	C₂²⋊C₄	—	146	2	no	—
1214	C₂²⋊C₄	—	146	2	no	—
1215	C₂²⋊C₄	—	146	2	no	—
1216	C₂²⋊C₄	C₂×C₄×D₇₃	1	4	yes	—
1217	C₂²⋊C₄	C₂×C₄×D₇₃	1	4	yes	—
1218	C₄²	—	2	2	no	—
1219	C₄²	—	2	2	no	—
1220	C₄²	—	4	1	no	—
1221	C₄²	—	4	1	no	—
1222	C₄²	—	4	1	no	—
1223	C₄²	—	4	1	no	—
1224	C₄²	—	4	1	no	—
1225	C₄²	—	4	1	no	—
1226	C₄²	—	292	1	no	—
1227	C₄²	—	292	1	no	—
1228	C₄²	—	292	1	no	—
1229	C₄²	—	292	1	no	—
1230	C₄²	—	292	1	no	—
1231	C₄²	—	292	1	no	—
1232	C₄²	—	292	1	no	—
1233	C₄²	—	292	1	no	—
1234	C₄²	—	292	1	no	—
1235	C₄²	—	292	1	no	—
1236	C₄²	—	292	1	no	—
1237	C₄²	—	292	1	no	—
1238	C₄²	—	292	1	no	—
1239	C₄²	—	73	4	no	—
1240	C₄²	—	73	4	no	—
1241	C₄²	—	73	4	no	—
1242	C₄²	—	73	4	no	—
1243	C₄²	—	146	2	no	—
1244	C₂³	—	2	1	no	—
1245	C₂³	—	2	1	no	—
1246	C₂³	—	2	1	no	—
1247	C₂³	—	2	1	no	—
1248	C₂³	—	2	1	no	—
1249	C₂³	—	2	1	no	—
1250	C₂³	—	73	2	no	—
1251	C₂³	—	73	2	no	—
1252	C₂³	—	146	1	no	—
1253	C₂³	—	146	1	no	—
1254	C₂³	—	146	1	no	—
1255	C₂³	—	146	1	no	—
1256	C₂³	—	146	1	no	—
1257	C₂³	—	146	1	no	—
1258	C₂³	—	146	1	no	—
1259	C₂³	—	146	1	no	—
1260	C₂³	—	146	1	no	—
1261	C₂³	—	146	1	no	—
1262	C₂³	—	146	1	no	—
1263	C₂³	—	146	1	no	—
1264	C₂³	C₂²×C₄×D₇₃	1	2	yes	—
1265	C₂³	C₂⁴×D₇₃	1	1	yes	characteristic
1266	Q₈	—	4	4	no	—
1267	Q₈	—	292	4	no	—
1268	Q₈	—	292	4	no	—
1269	D₄	—	292	4	no	—
1270	D₄	—	292	4	no	—
1271	D₄	—	292	4	no	—
1272	C₂×C₄	—	2	1	no	—
1273	C₂×C₄	—	2	1	no	—
1274	C₂×C₄	—	2	1	no	—
1275	C₂×C₄	—	2	1	no	—
1276	C₂×C₄	—	2	1	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	1	no	—
1286	C₂×C₄	—	2	1	no	—
1287	C₂×C₄	—	2	1	no	—
1288	C₂×C₄	—	2	1	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	—	2	1	no	—
1297	C₂×C₄	—	2	1	no	—
1298	C₂×C₄	—	2	1	no	—
1299	C₂×C₄	—	2	1	no	—
1300	C₂×C₄	—	2	1	no	—
1301	C₂×C₄	—	2	1	no	—
1302	C₂×C₄	—	2	1	no	—
1303	C₂×C₄	—	2	1	no	—
1304	C₂×C₄	—	2	1	no	—
1305	C₂×C₄	—	2	1	no	—
1306	C₂×C₄	—	4	4	no	—
1307	C₂×C₄	—	4	4	no	—
1308	C₂×C₄	—	4	4	no	—
1309	C₂×C₄	—	292	4	no	—
1310	C₂×C₄	—	292	4	no	—
1311	C₂×C₄	—	584	2	no	—
1312	C₂×C₄	—	584	2	no	—
1313	C₂×C₄	—	584	2	no	—
1314	C₂×C₄	—	584	2	no	—
1315	C₂×C₄	—	73	2	no	—
1316	C₂×C₄	—	73	2	no	—
1317	C₂×C₄	—	73	2	no	—
1318	C₂×C₄	—	73	2	no	—
1319	C₂×C₄	—	73	2	no	—
1320	C₂×C₄	—	73	2	no	—
1321	C₂×C₄	—	146	1	no	—
1322	C₂×C₄	—	146	1	no	—
1323	C₂×C₄	—	146	1	no	—
1324	C₂×C₄	—	146	1	no	—
1325	C₂×C₄	—	146	1	no	—
1326	C₂×C₄	—	146	1	no	—
1327	C₂×C₄	—	146	1	no	—
1328	C₂×C₄	—	146	1	no	—
1329	C₂×C₄	—	146	1	no	—
1330	C₂×C₄	—	146	1	no	—
1331	C₂×C₄	—	146	1	no	—
1332	C₂×C₄	—	146	1	no	—
1333	C₂×C₄	—	146	1	no	—
1334	C₂×C₄	—	146	1	no	—
1335	C₂×C₄	—	146	1	no	—
1336	C₂×C₄	—	146	1	no	—
1337	C₂×C₄	—	146	1	no	—
1338	C₂×C₄	—	146	1	no	—
1339	C₂×C₄	—	146	1	no	—
1340	C₂×C₄	—	146	1	no	—
1341	C₂×C₄	—	146	1	no	—
1342	C₂×C₄	—	146	1	no	—
1343	C₂×C₄	—	146	1	no	—
1344	C₂×C₄	—	146	1	no	—
1345	C₂×C₄	—	146	1	no	—
1346	C₂×C₄	—	146	1	no	—
1347	C₂×C₄	—	146	1	no	—
1348	C₂×C₄	—	146	1	no	—
1349	C₂×C₄	—	146	1	no	—
1350	C₂×C₄	—	146	1	no	—
1351	C₂×C₄	—	146	1	no	—
1352	C₂×C₄	—	146	1	no	—
1353	C₂×C₄	—	146	1	no	—
1354	C₂×C₄	—	146	1	no	—
1355	C₂×C₄	—	146	1	no	—
1356	C₂×C₄	—	146	1	no	—
1357	C₂×C₄	C₂²×C₄×D₇₃	1	2	yes	—
1358	C₂×C₄	C₂²×C₄×D₇₃	1	2	yes	—
1359	C₂×C₄	C₂²×C₄×D₇₃	1	2	yes	—
1360	C₂×C₄	C₂²×C₄×D₇₃	1	2	yes	—
1361	C₂×C₄	C₂²×C₄×D₇₃	1	2	yes	—
1362	C₂×C₄	C₂²×C₄×D₇₃	1	2	yes	—
1363	C₂×C₄	#14556636	1	2	yes	—
1364	C₂×C₄	#14556639	1	2	yes	—
1365	C₂²	—	2	2	no	—
1366	C₂²	—	2	2	no	—
1367	C₂²	—	2	2	no	—
1368	C₂²	—	4	1	no	—
1369	C₂²	—	4	1	no	—
1370	C₂²	—	4	1	no	—
1371	C₂²	—	4	1	no	—
1372	C₂²	—	292	1	no	—
1373	C₂²	—	292	1	no	—
1374	C₂²	—	292	1	no	—
1375	C₂²	—	292	1	no	—
1376	C₂²	—	292	1	no	—
1377	C₂²	—	292	1	no	—
1378	C₂²	—	292	1	no	—
1379	C₂²	—	292	1	no	—
1380	C₂²	—	146	2	no	—
1381	C₂²	—	146	2	no	—
1382	C₂²	—	146	2	no	—
1383	C₂²	—	146	2	no	—
1384	C₂²	—	146	2	no	—
1385	C₂²	—	146	2	no	—
1386	C₂²	C₂³×C₄×D₇₃	1	1	yes	characteristic
1387	C₂²	C₂×#14556636	1	1	yes	characteristic
1388	C₂²	C₂×#14556639	1	1	yes	characteristic
1389	C₂²	#17989423	1	1	yes	characteristic
1390	C₂²	#17989423	1	1	yes	characteristic
1391	C₂²	#17989423	1	1	yes	characteristic
1392	C₂²	#17989423	1	1	yes	characteristic
1393	C₄	—	2	2	no	—
1394	C₄	—	2	2	no	—
1395	C₄	—	2	2	no	—
1396	C₄	—	2	2	no	—
1397	C₄	—	2	2	no	—
1398	C₄	—	2	2	no	—
1399	C₄	—	2	2	no	—
1400	C₄	—	2	2	no	—
1401	C₄	—	4	1	no	—
1402	C₄	—	4	1	no	—
1403	C₄	—	4	1	no	—
1404	C₄	—	4	1	no	—
1405	C₄	—	4	1	no	—
1406	C₄	—	4	1	no	—
1407	C₄	—	292	1	no	—
1408	C₄	—	292	1	no	—
1409	C₄	—	292	1	no	—
1410	C₄	—	292	1	no	—
1411	C₄	—	292	1	no	—
1412	C₄	—	292	1	no	—
1413	C₄	—	292	1	no	—
1414	C₄	—	292	1	no	—
1415	C₄	—	146	2	no	—
1416	C₄	—	146	2	no	—
1417	C₄	—	146	2	no	—
1418	C₄	—	146	2	no	—
1419	C₄	—	146	2	no	—
1420	C₄	—	146	2	no	—
1421	C₂	—	4	2	no	—
1422	C₂	—	292	2	no	—
1423	C₂	—	292	2	no	—
1424	C₂	#22623130	1	1	yes	characteristic
1425	C₂	C₄×#14556636	1	1	yes	characteristic
1426	C₂	C₄×#14556639	1	1	yes	characteristic
1427	C₂	#22624095	1	1	yes	characteristic
1428	C₂	#22624228	1	1	yes	characteristic
1429	C₂	#22624437	1	1	yes	characteristic
1430	C₂	#22624627	1	1	yes	characteristic

	subgroup	G/H
center, Frattini	C₂³	C₂⁴×D₇₃
commutator	C₂²×C₇₃	C₂⁴×C₄
Fitting	C₄×C₂²⋊Q₈×C₇₃	C₂
socle, cosocle	C₂³×C₇₃	C₂⁵
prime radical	C₂×#14556564	C₂²
hypercenter	C₄×C₂²⋊Q₈	D₇₃
hypocenter	C₇₃	#34448
LCS	G ▷ C₂²×C₇₃ ▷ C₇₃
UCS	C₁ ◁ C₂³ ◁ C₄×C₂²⋊Q₈

Complements

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

N	H ≅ G/N	type
2. #22613122	C₂	semidirect
3. #22613110	C₂	semidirect
4. #22613103	C₂	semidirect
5. #22613093	C₂	semidirect
6. #22613060	C₂	semidirect
7. #22613045	C₂	semidirect
8. #22613015	C₂	semidirect
9. #22613015	C₂	semidirect
10. #22612998	C₂	semidirect
11. #22612985	C₂	semidirect
12. #22612953	C₂	semidirect
13. #22612916	C₂	semidirect
14. #22612893	C₂	semidirect
15. #22612884	C₂	semidirect
16. #22612820	C₂	semidirect
17. #22612786	C₂	semidirect
18. #22612745	C₂	semidirect
19. #22612739	C₂	semidirect
20. #22612739	C₂	semidirect
21. #22612717	C₂	semidirect
22. #22612708	C₂	semidirect
23. #22612707	C₂	semidirect
25. #22612689	C₂	semidirect
26. #22612637	C₂	semidirect
28. #22612566	C₂	semidirect
29. C₄×#14556574	C₂	semidirect
30. #22612374	C₂	semidirect
31. C₄×C₂²⋊Q₈×C₇₃	C₂	semidirect
32. #17989207	C₄	semidirect
199. #14556589	C₂×C₄	semidirect
200. #14556586	C₂×C₄	semidirect
201. #14556584	C₂×C₄	semidirect
202. #14556580	C₂×C₄	semidirect
203. #14556577	C₂×C₄	semidirect
204. #14556577	C₂×C₄	semidirect
205. #14556576	C₂×C₄	semidirect
206. #14556574	C₂×C₄	semidirect
207. #14556569	C₂×C₄	semidirect
208. #14556569	C₂×C₄	semidirect
211. #14556556	C₂×C₄	semidirect
214. C₄×C₂²⋊D₇₃	C₂×C₄	semidirect
215. #14556549	C₂×C₄	semidirect
330. C₂²⋊Q₈×C₇₃	C₂×C₄	semidirect
744. C₄×C₂²⋊Q₈	D₇₃	semidirect
747. C₇₃	#34448	semidirect
929. C₂²⋊Q₈	C₄×D₇₃	semidirect

Maximal subgroups

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

subgroup	index
C₂×#17989207	2
#22613122	2
#22613110	2
#22613103	2
#22613093	2
#22613060	2
#22613045	2
#22613015	2
#22612998	2
#22612985	2
#22612953	2
#22612916	2
#22612893	2
#22612884	2
#22612820	2
#22612786	2
#22612745	2
#22612739	2
#22612717	2
#22612708	2
#22612707	2
#22612691	2
#22612689	2
#22612637	2
#22612628	2
#22612566	2
C₄×#14556574	2
#22612374	2
C₄×C₂²⋊Q₈×C₇₃	2
#34448	73