Subgroups — #33249387

Order 18688.

2314 conjugacy classes of subgroups.

The subgroup lattice has 1476 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×#17989159	C₂	1	1	yes	maximal, characteristic
2	#22613109	C₂	1	1	yes	maximal, characteristic, complemented
3	#22613100	C₂	1	1	yes	maximal, characteristic, complemented
4	#22613093	C₂	1	1	yes	maximal, characteristic, complemented
5	#22613091	C₂	1	1	yes	maximal, characteristic, complemented
6	#22613039	C₂	1	1	yes	maximal, characteristic, complemented
7	#22613018	C₂	1	1	yes	maximal, characteristic, complemented
8	#22613012	C₂	1	1	yes	maximal, characteristic, complemented
9	#22613008	C₂	1	1	yes	maximal, characteristic, complemented
10	#22612927	C₂	1	1	yes	maximal, characteristic, complemented
11	#22612923	C₂	1	1	yes	maximal, characteristic, complemented
12	#22612919	C₂	1	1	yes	maximal, characteristic, complemented
13	#22612789	C₂	1	1	yes	maximal, characteristic, complemented
14	#22612785	C₂	1	1	yes	maximal, characteristic, complemented
15	#22612757	C₂	1	1	yes	maximal, characteristic
16	#22612756	C₂	1	1	yes	maximal, characteristic
17	#22612745	C₂	1	1	yes	maximal, characteristic, complemented
18	#22612742	C₂	1	1	yes	maximal, characteristic, complemented
19	#22612682	C₂	1	1	yes	maximal, characteristic, complemented
20	#22612681	C₂	1	1	yes	maximal, characteristic, complemented
21	#22612678	C₂	1	1	yes	maximal, characteristic, complemented
22	#22612676	C₂	1	1	yes	maximal, characteristic, complemented
23	#22612659	C₂	1	1	yes	maximal, characteristic, complemented
24	#22612658	C₂	1	1	yes	maximal, characteristic, complemented
25	#22612605	C₂	1	1	yes	maximal, characteristic, complemented
26	#22612602	C₂	1	1	yes	maximal, characteristic, complemented
27	#22612515	C₂	1	1	yes	maximal, characteristic, complemented
28	#22612450	C₂	1	1	yes	maximal, characteristic, complemented
29	C₄×#14556572	C₂	1	1	yes	maximal, characteristic, complemented
30	C₂×#17988491	C₂	1	1	yes	maximal, characteristic, complemented
31	C₇₃×#2359	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂²×#11924027	C₂²	1	1	yes	characteristic
33	C₂³×Dic₁₄₆	C₂²	1	1	yes	characteristic
34	#17989159	C₄	1	16	yes	complemented
35	C₂×#14556590	C₂²	1	1	yes	characteristic
36	C₂×#14556590	C₂²	1	1	yes	characteristic
37	C₂×#14556577	C₂²	1	1	yes	characteristic
38	C₂×#14556577	C₂²	1	1	yes	characteristic
39	C₂×#14556575	C₂²	1	1	yes	characteristic
40	C₂×#14556574	C₂²	1	1	yes	characteristic
41	C₂×#14556572	C₂²	1	1	yes	characteristic
42	C₂×#14556569	C₂²	1	1	yes	characteristic
43	C₂×#14556569	C₂²	1	1	yes	characteristic
44	C₂×#14556568	C₂²	1	1	yes	characteristic
45	C₂×#14556568	C₂²	1	1	yes	characteristic
46	C₂×D₄×Dic₇₃	C₂²	1	1	yes	characteristic
47	C₂×C₄×C₂²⋊D₇₃	C₂²	1	1	yes	characteristic
48	C₂×#14556551	C₂²	1	1	yes	characteristic
49	C₂×#14556550	C₂²	1	1	yes	characteristic
50	C₂×#14556547	C₂²	1	1	yes	characteristic
51	C₂²×#11924007	C₂²	1	1	yes	characteristic
52	C₂²×C₄×Dic₇₃	C₂²	1	1	yes	characteristic
53	#17988493	C₂²	1	1	yes	characteristic
54	#17988493	C₂²	1	1	yes	characteristic
55	#17988493	C₂²	1	1	yes	characteristic
56	#17988493	C₂²	1	1	yes	characteristic
57	#17988493	C₂²	1	1	yes	characteristic
58	#17988492	C₂²	1	1	yes	characteristic
59	#17988492	C₂²	1	1	yes	characteristic
60	#17988492	C₂²	1	1	yes	characteristic
61	#17988492	C₂²	1	1	yes	characteristic
62	#17988492	C₂²	1	1	yes	characteristic
63	#17988491	C₂²	1	1	yes	characteristic
64	#17988491	C₂²	1	1	yes	characteristic
65	#17988491	C₂²	1	1	yes	characteristic
66	#17988491	C₂²	1	1	yes	characteristic
67	#17988491	C₂²	1	1	yes	characteristic
68	#17988491	C₂²	1	1	yes	characteristic
69	#17988491	C₂²	1	1	yes	characteristic
70	#17988491	C₂²	1	1	yes	characteristic
71	#17988491	C₂²	1	1	yes	characteristic
72	#17988491	C₂²	1	1	yes	characteristic
73	#17988486	C₂²	1	1	yes	characteristic
74	#17988485	C₂²	1	1	yes	characteristic
75	#17988485	C₂²	1	1	yes	characteristic
76	#17988484	C₂²	1	1	yes	characteristic
77	#17988484	C₂²	1	1	yes	characteristic
78	#17988484	C₂²	1	1	yes	characteristic
79	#17988482	C₂²	1	1	yes	characteristic
80	#17988480	C₂²	1	1	yes	characteristic
81	#17988480	C₂²	1	1	yes	characteristic
82	#17988479	C₂²	1	1	yes	characteristic
83	#17988478	C₂²	1	1	yes	characteristic
84	#17988478	C₂²	1	1	yes	characteristic
85	#17988478	C₂²	1	1	yes	characteristic
86	#17988477	C₂²	1	1	yes	characteristic
87	#17988477	C₂²	1	1	yes	characteristic
88	#17988477	C₂²	1	1	yes	characteristic
89	#17988476	C₂²	1	1	yes	characteristic
90	#17988475	C₂²	1	1	yes	characteristic
91	#17988475	C₂²	1	1	yes	characteristic
92	#17988475	C₂²	1	1	yes	characteristic
93	#17988475	C₂²	1	1	yes	characteristic
94	#17988474	C₂²	1	1	yes	characteristic
95	#17988474	C₂²	1	1	yes	characteristic
96	#17988474	C₂²	1	1	yes	characteristic
97	#17988473	C₂²	1	1	yes	characteristic
98	#17988473	C₂²	1	1	yes	characteristic
99	#17988472	C₂²	1	1	yes	characteristic
100	#17988472	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	#17988470	C₂²	1	1	yes	characteristic
106	#17988469	C₂²	1	1	yes	characteristic
107	#17988469	C₂²	1	1	yes	characteristic
108	#17988469	C₂²	1	1	yes	characteristic
109	#17988469	C₂²	1	1	yes	characteristic
110	#17988469	C₂²	1	1	yes	characteristic
111	#17988468	C₂²	1	1	yes	characteristic
112	#17988468	C₂²	1	1	yes	characteristic
113	#17988468	C₂²	1	1	yes	characteristic
114	#17988468	C₂²	1	1	yes	characteristic
115	#17988468	C₂²	1	1	yes	characteristic
116	#17988467	C₂²	1	1	yes	characteristic
117	#17988466	C₂²	1	1	yes	characteristic
118	#17988466	C₂²	1	1	yes	characteristic
119	#17988464	C₂²	1	1	yes	characteristic
120	#17988464	C₂²	1	1	yes	characteristic
121	#17988463	C₂²	1	1	yes	characteristic
122	#17988463	C₂²	1	1	yes	characteristic
123	#17988462	C₂²	1	1	yes	characteristic
124	#17988462	C₂²	1	1	yes	characteristic
125	#17988461	C₂²	1	1	yes	characteristic
126	#17988461	C₂²	1	1	yes	characteristic
127	#17988461	C₂²	1	1	yes	characteristic
128	#17988460	C₂²	1	1	yes	characteristic
129	#17988459	C₂²	1	1	yes	characteristic
130	#17988459	C₂²	1	1	yes	characteristic
131	#17988459	C₂²	1	1	yes	characteristic
132	#17988458	C₂²	1	1	yes	characteristic
133	#17988454	C₂²	1	1	yes	characteristic
134	#17988454	C₂²	1	1	yes	characteristic
135	#17988452	C₂²	1	1	yes	characteristic
136	#17988451	C₂²	1	1	yes	characteristic
137	#17988449	C₂²	1	1	yes	characteristic
138	#17988448	C₂²	1	1	yes	characteristic
139	#17988448	C₂²	1	1	yes	characteristic
140	#17988448	C₂²	1	1	yes	characteristic
141	#17988448	C₂²	1	1	yes	characteristic
142	#17988448	C₂²	1	1	yes	characteristic
143	#17988445	C₂²	1	1	yes	characteristic
144	#17988444	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⋊C₄×Dic₇₃	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	#17988438	C₂²	1	1	yes	characteristic
154	C₂²⋊C₄×Dic₇₃	C₂²	1	1	yes	characteristic
155	C₂²⋊C₄×Dic₇₃	C₂²	1	1	yes	characteristic
156	C₂²⋊C₄×Dic₇₃	C₂²	1	1	yes	characteristic
157	C₂²⋊C₄×Dic₇₃	C₂²	1	1	yes	characteristic
158	C₄×#11924005	C₂²	1	1	yes	characteristic
159	C₄×#11924005	C₂²	1	1	yes	characteristic
160	C₄×C₂²⋊Dic₇₃	C₂²	1	1	yes	characteristic
161	C₄×C₂²⋊Dic₇₃	C₂²	1	1	yes	characteristic
162	C₄×C₂²⋊Dic₇₃	C₂²	1	1	yes	characteristic
163	#17988434	C₂²	1	1	yes	characteristic
164	#17988434	C₂²	1	1	yes	characteristic
165	#17988434	C₂²	1	1	yes	characteristic
166	#17988433	C₂²	1	1	yes	characteristic
167	#17988432	C₂²	1	1	yes	characteristic
168	C₂×#14556498	C₂²	1	1	yes	characteristic
169	C₂×#14556498	C₂²	1	1	yes	characteristic
170	C₂×#14556498	C₂²	1	1	yes	characteristic
171	C₂×#14556498	C₂²	1	1	yes	characteristic
172	#95×D₇₃	C₂²	1	1	yes	characteristic
173	C₂×#123×C₇₃	C₂²	1	1	yes	characteristic
174	C₂×C₄×D₄×C₇₃	C₂²	1	1	yes	characteristic
175	C₂×#117×C₇₃	C₂²	1	1	yes	characteristic
176	#389×C₇₃	C₂²	1	1	yes	characteristic
177	#388×C₇₃	C₂²	1	1	yes	characteristic
178	#388×C₇₃	C₂²	1	1	yes	characteristic
179	#387×C₇₃	C₂²	1	1	yes	characteristic
180	#387×C₇₃	C₂²	1	1	yes	characteristic
181	#386×C₇₃	C₂²	1	1	yes	characteristic
182	#385×C₇₃	C₂²	1	1	yes	characteristic
183	#385×C₇₃	C₂²	1	1	yes	characteristic
184	C₄×C₄⋊C₄×C₇₃	C₂²	1	1	yes	characteristic
185	C₄×C₂²⋊C₄×C₇₃	C₂²	1	1	yes	characteristic
186	C₄×C₂²⋊C₄×C₇₃	C₂²	1	1	yes	characteristic
187	C₂×#95×C₇₃	C₂²	1	1	yes	characteristic
188	C₂×#11924027	—	4	2	no	—
189	C₂×#11924027	—	4	2	no	—
190	C₂×#11924027	C₂×C₄	1	8	yes	—
191	C₂²×Dic₁₄₆	—	4	2	no	—
192	C₂²×Dic₁₄₆	—	4	2	no	—
193	C₂²×Dic₁₄₆	C₂×C₄	1	8	yes	complemented
194	C₂²×Dic₁₄₆	C₂³	1	1	yes	characteristic
195	C₂²×Dic₁₄₆	C₂³	1	1	yes	characteristic
196	C₂²×Dic₁₄₆	C₂³	1	1	yes	characteristic
197	C₂²×Dic₁₄₆	C₂³	1	1	yes	characteristic
198	C₂²×Dic₁₄₆	C₂³	1	1	yes	characteristic
199	C₂²×C₂²⋊D₇₃	C₂³	1	1	yes	characteristic
200	C₂²×C₂²⋊D₇₃	C₂³	1	1	yes	characteristic
201	C₂³×Dic₇₃	C₂³	1	1	yes	characteristic
202	C₂³×Dic₇₃	C₂³	1	1	yes	characteristic
203	C₂³×Dic₇₃	C₂³	1	1	yes	characteristic
204	C₂³×Dic₇₃	C₂³	1	1	yes	characteristic
205	C₂³×Dic₇₃	C₂³	1	1	yes	characteristic
206	C₂³×Dic₇₃	C₂³	1	1	yes	characteristic
207	C₂²×C₄×D₇₃	C₂³	1	1	yes	characteristic
208	C₂²×C₄×D₇₃	C₂³	1	1	yes	characteristic
209	C₂²×C₄×D₇₃	C₂³	1	1	yes	characteristic
210	#14556590	C₂×C₄	1	8	yes	complemented
211	#14556590	C₂×C₄	1	8	yes	complemented
212	#14556577	C₂×C₄	1	8	yes	complemented
213	#14556577	C₂×C₄	1	8	yes	complemented
214	#14556575	C₂×C₄	1	8	yes	complemented
215	#14556574	C₂×C₄	1	8	yes	complemented
216	#14556572	C₂×C₄	1	8	yes	complemented
217	#14556569	C₂×C₄	1	8	yes	complemented
218	#14556569	C₂×C₄	1	8	yes	complemented
219	#14556568	C₂×C₄	1	8	yes	complemented
220	#14556568	C₂×C₄	1	8	yes	complemented
221	D₄×Dic₇₃	—	4	2	no	—
222	C₄×C₂²⋊D₇₃	—	4	2	no	—
223	#14556551	—	4	2	no	—
224	#14556550	—	4	2	no	—
225	#14556547	C₂×C₄	1	8	yes	complemented
226	C₂×C₄⋊Dic₇₃	C₂³	1	1	yes	characteristic
227	C₂×C₄⋊Dic₇₃	C₂³	1	1	yes	characteristic
228	C₂×C₄⋊Dic₇₃	C₂³	1	1	yes	characteristic
229	C₂×C₄⋊Dic₇₃	C₂³	1	1	yes	characteristic
230	C₂×C₄⋊Dic₇₃	C₂³	1	1	yes	characteristic
231	C₂×C₄⋊Dic₇₃	C₂³	1	1	yes	characteristic
232	C₂×C₄⋊Dic₇₃	C₂³	1	1	yes	characteristic
233	C₂×#11924007	—	4	2	no	—
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×#11924007	C₂³	1	1	yes	characteristic
241	C₂×#11924007	C₂³	1	1	yes	characteristic
242	C₂×#11924007	C₂³	1	1	yes	characteristic
243	C₂×#11924007	C₂³	1	1	yes	characteristic
244	C₂×#11924007	C₂³	1	1	yes	characteristic
245	C₂×#11924007	C₂³	1	1	yes	characteristic
246	C₂×#11924007	C₂³	1	1	yes	characteristic
247	C₂×#11924007	C₂³	1	1	yes	characteristic
248	C₂×#11924007	C₂³	1	1	yes	characteristic
249	C₂×#11924007	C₂³	1	1	yes	characteristic
250	C₂×C₂²⋊Dic₇₃	C₂³	1	1	yes	characteristic
251	C₂×C₂²⋊Dic₇₃	C₂³	1	1	yes	characteristic
252	C₂×C₂²⋊Dic₇₃	C₂³	1	1	yes	characteristic
253	C₂×C₂²⋊Dic₇₃	C₂³	1	1	yes	characteristic
254	C₂×C₂²⋊Dic₇₃	C₂³	1	1	yes	characteristic
255	C₂×C₂²⋊Dic₇₃	C₂³	1	1	yes	characteristic
256	C₂×C₂²⋊Dic₇₃	C₂³	1	1	yes	characteristic
257	C₂×C₂²⋊Dic₇₃	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×#11924005	C₂³	1	1	yes	characteristic
267	C₂×#11924005	C₂³	1	1	yes	characteristic
268	C₂×C₄×Dic₇₃	—	4	2	no	—
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	C₂×C₄×Dic₇₃	C₂³	1	1	yes	characteristic
285	C₂×C₄×Dic₇₃	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	#14556498	C₂³	1	1	yes	characteristic
327	#14556498	C₂³	1	1	yes	characteristic
328	#14556498	C₂³	1	1	yes	characteristic
329	#14556498	C₂³	1	1	yes	characteristic
330	#14556498	C₂³	1	1	yes	characteristic
331	#14556498	C₂³	1	1	yes	characteristic
332	C₂²×D₄×C₇₃	C₂³	1	1	yes	characteristic
333	C₂³×C₄×C₇₃	C₂³	1	1	yes	characteristic
334	C₂³×C₄×C₇₃	C₂³	1	1	yes	characteristic
335	C₂³×C₄×C₇₃	C₂³	1	1	yes	characteristic
336	C₂³×C₄×C₇₃	C₂³	1	1	yes	characteristic
337	#123×C₇₃	C₂×C₄	1	8	yes	complemented
338	C₄×D₄×C₇₃	—	4	2	no	—
339	#117×C₇₃	—	4	2	no	—
340	C₂×C₄⋊C₄×C₇₃	C₂³	1	1	yes	characteristic
341	C₂×C₄⋊C₄×C₇₃	C₂³	1	1	yes	characteristic
342	C₂×C₄⋊C₄×C₇₃	C₂³	1	1	yes	characteristic
343	C₂×C₄⋊C₄×C₇₃	C₂³	1	1	yes	characteristic
344	C₂×C₄⋊C₄×C₇₃	C₂³	1	1	yes	characteristic
345	C₂×C₄⋊C₄×C₇₃	C₂³	1	1	yes	characteristic
346	C₂×C₄⋊C₄×C₇₃	C₂³	1	1	yes	characteristic
347	C₂×C₂²⋊C₄×C₇₃	C₂³	1	1	yes	characteristic
348	C₂×C₂²⋊C₄×C₇₃	C₂³	1	1	yes	characteristic
349	C₂×C₂²⋊C₄×C₇₃	C₂³	1	1	yes	characteristic
350	C₂×C₂²⋊C₄×C₇₃	C₂³	1	1	yes	characteristic
351	C₂×C₂²⋊C₄×C₇₃	C₂³	1	1	yes	characteristic
352	C₂×C₂²⋊C₄×C₇₃	C₂³	1	1	yes	characteristic
353	C₂×C₂²⋊C₄×C₇₃	C₂³	1	1	yes	characteristic
354	C₂×C₂²⋊C₄×C₇₃	C₂³	1	1	yes	characteristic
355	C₂×C₄²×C₇₃	C₂³	1	1	yes	characteristic
356	C₂×C₄²×C₇₃	C₂³	1	1	yes	characteristic
357	C₂×C₄²×C₇₃	C₂³	1	1	yes	characteristic
358	C₂×C₄²×C₇₃	C₂³	1	1	yes	characteristic
359	C₂×C₄²×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	#95×C₇₃	C₂³	1	1	yes	characteristic
365	#95×C₇₃	C₂³	1	1	yes	characteristic
366	#95×C₇₃	C₂³	1	1	yes	characteristic
367	#95×C₇₃	C₂³	1	1	yes	characteristic
368	#95×C₇₃	C₂³	1	1	yes	characteristic
369	#95×C₇₃	C₂³	1	1	yes	characteristic
370	C₂³×D₇₃	C₂⁴	1	1	yes	characteristic
371	#11924027	—	4	16	no	—
372	C₂×Dic₁₄₆	—	4	16	no	—
373	C₂×Dic₁₄₆	—	4	1	no	—
374	C₂×Dic₁₄₆	—	4	1	no	—
375	C₂×Dic₁₄₆	—	4	1	no	—
376	C₂×Dic₁₄₆	—	4	1	no	—
377	C₂×Dic₁₄₆	—	4	1	no	—
378	C₂×Dic₁₄₆	—	4	1	no	—
379	C₂×Dic₁₄₆	—	4	1	no	—
380	C₂×Dic₁₄₆	—	4	1	no	—
381	C₂×Dic₁₄₆	—	4	1	no	—
382	C₂×Dic₁₄₆	—	4	1	no	—
383	C₂×Dic₁₄₆	C₂²×C₄	1	4	yes	—
384	C₂×Dic₁₄₆	C₂²×C₄	1	4	yes	—
385	C₂×Dic₁₄₆	C₂²×C₄	1	4	yes	—
386	C₂×Dic₁₄₆	C₂²×C₄	1	4	yes	—
387	C₂×Dic₁₄₆	C₂²×C₄	1	4	yes	—
388	C₂×C₂²⋊D₇₃	—	2	2	no	—
389	C₂×C₂²⋊D₇₃	—	2	2	no	—
390	C₂×C₂²⋊D₇₃	—	4	1	no	—
391	C₂×C₂²⋊D₇₃	—	4	1	no	—
392	C₂×C₂²⋊D₇₃	C₂²×C₄	1	4	yes	—
393	C₂×C₂²⋊D₇₃	C₂²×C₄	1	4	yes	—
394	C₂²×Dic₇₃	—	2	2	no	—
395	C₂²×Dic₇₃	—	2	2	no	—
396	C₂²×Dic₇₃	—	2	2	no	—
397	C₂²×Dic₇₃	—	2	2	no	—
398	C₂²×Dic₇₃	—	2	2	no	—
399	C₂²×Dic₇₃	—	2	2	no	—
400	C₂²×Dic₇₃	—	2	2	no	—
401	C₂²×Dic₇₃	—	4	1	no	—
402	C₂²×Dic₇₃	—	4	1	no	—
403	C₂²×Dic₇₃	—	4	1	no	—
404	C₂²×Dic₇₃	—	4	1	no	—
405	C₂²×Dic₇₃	—	4	1	no	—
406	C₂²×Dic₇₃	—	4	1	no	—
407	C₂²×Dic₇₃	—	4	1	no	—
408	C₂²×Dic₇₃	—	4	1	no	—
409	C₂²×Dic₇₃	C₂²×C₄	1	4	yes	—
410	C₂²×Dic₇₃	C₂²×C₄	1	4	yes	—
411	C₂²×Dic₇₃	C₂²×C₄	1	4	yes	—
412	C₂²×Dic₇₃	C₂⁴	1	1	yes	characteristic
413	C₂²×Dic₇₃	C₂⁴	1	1	yes	characteristic
414	C₂²×Dic₇₃	C₂⁴	1	1	yes	characteristic
415	C₂²×Dic₇₃	C₂⁴	1	1	yes	characteristic
416	C₂²×Dic₇₃	C₂⁴	1	1	yes	characteristic
417	C₂²×Dic₇₃	C₂⁴	1	1	yes	characteristic
418	C₂²×Dic₇₃	C₂⁴	1	1	yes	characteristic
419	C₂²×Dic₇₃	C₂⁴	1	1	yes	characteristic
420	C₂²×Dic₇₃	C₂⁴	1	1	yes	characteristic
421	C₂²×Dic₇₃	C₂⁴	1	1	yes	characteristic
422	C₂²×Dic₇₃	C₂⁴	1	1	yes	characteristic
423	C₂²×Dic₇₃	C₂⁴	1	1	yes	characteristic
424	C₂²×Dic₇₃	C₂⁴	1	1	yes	characteristic
425	C₂²×Dic₇₃	C₂⁴	1	1	yes	characteristic
426	C₂²×Dic₇₃	C₂⁴	1	1	yes	characteristic
427	C₂×C₄×D₇₃	—	2	2	no	—
428	C₂×C₄×D₇₃	—	4	1	no	—
429	C₂×C₄×D₇₃	—	4	1	no	—
430	C₂×C₄×D₇₃	—	4	1	no	—
431	C₂×C₄×D₇₃	—	4	1	no	—
432	C₂×C₄×D₇₃	—	4	1	no	—
433	C₂×C₄×D₇₃	—	4	1	no	—
434	C₂×C₄×D₇₃	—	4	1	no	—
435	C₂×C₄×D₇₃	C₂²×C₄	1	4	yes	—
436	C₄⋊Dic₇₃	—	4	1	no	—
437	C₄⋊Dic₇₃	—	4	1	no	—
438	C₄⋊Dic₇₃	—	4	1	no	—
439	C₄⋊Dic₇₃	—	4	1	no	—
440	C₄⋊Dic₇₃	—	4	1	no	—
441	C₄⋊Dic₇₃	C₂²×C₄	1	4	yes	—
442	C₄⋊Dic₇₃	C₂²×C₄	1	4	yes	—
443	#11924007	—	2	2	no	—
444	#11924007	—	4	1	no	—
445	#11924007	—	4	1	no	—
446	#11924007	—	4	1	no	—
447	#11924007	—	4	1	no	—
448	#11924007	—	4	1	no	—
449	#11924007	—	4	1	no	—
450	#11924007	—	4	1	no	—
451	#11924007	—	4	1	no	—
452	#11924007	—	4	1	no	—
453	#11924007	C₂²×C₄	1	4	yes	—
454	#11924007	C₂²×C₄	1	4	yes	—
455	#11924007	C₂²×C₄	1	4	yes	—
456	#11924007	C₂²×C₄	1	4	yes	—
457	#11924007	C₂²×C₄	1	4	yes	—
458	#11924007	C₂²×C₄	1	4	yes	—
459	C₂²⋊Dic₇₃	—	2	2	no	—
460	C₂²⋊Dic₇₃	—	2	2	no	—
461	C₂²⋊Dic₇₃	—	2	2	no	—
462	C₂²⋊Dic₇₃	—	4	1	no	—
463	C₂²⋊Dic₇₃	—	4	1	no	—
464	C₂²⋊Dic₇₃	C₂²×C₄	1	4	yes	—
465	C₂²⋊Dic₇₃	C₂²×C₄	1	4	yes	—
466	C₂²⋊Dic₇₃	C₂²×C₄	1	4	yes	—
467	#11924005	—	2	2	no	—
468	#11924005	—	4	1	no	—
469	#11924005	—	4	1	no	—
470	#11924005	—	4	1	no	—
471	#11924005	—	4	1	no	—
472	#11924005	—	4	1	no	—
473	#11924005	C₂²×C₄	1	4	yes	—
474	#11924005	C₂²×C₄	1	4	yes	—
475	#11924005	C₂²×C₄	1	4	yes	—
476	#11924005	C₂²×C₄	1	4	yes	—
477	C₄×Dic₇₃	—	2	2	no	—
478	C₄×Dic₇₃	—	2	2	no	—
479	C₄×Dic₇₃	—	4	1	no	—
480	C₄×Dic₇₃	—	4	1	no	—
481	C₄×Dic₇₃	—	4	1	no	—
482	C₄×Dic₇₃	—	4	1	no	—
483	C₄×Dic₇₃	—	4	1	no	—
484	C₄×Dic₇₃	—	4	1	no	—
485	C₄×Dic₇₃	—	4	1	no	—
486	C₄×Dic₇₃	—	4	1	no	—
487	C₄×Dic₇₃	—	4	1	no	—
488	C₄×Dic₇₃	—	4	1	no	—
489	C₄×Dic₇₃	—	4	1	no	—
490	C₄×Dic₇₃	—	4	1	no	—
491	C₄×Dic₇₃	—	4	1	no	—
492	C₄×Dic₇₃	C₂²×C₄	1	4	yes	—
493	C₄×Dic₇₃	C₂²×C₄	1	4	yes	—
494	C₂⁴×C₇₃	C₂⁴	1	1	yes	characteristic
495	C₂⁴×C₇₃	C₂⁴	1	1	yes	characteristic
496	C₂×D₄×C₇₃	—	2	2	no	—
497	C₂×D₄×C₇₃	—	2	2	no	—
498	C₂×D₄×C₇₃	C₂²×C₄	1	4	yes	—
499	C₂²×C₄×C₇₃	—	2	2	no	—
500	C₂²×C₄×C₇₃	—	2	2	no	—
501	C₂²×C₄×C₇₃	—	2	2	no	—
502	C₂²×C₄×C₇₃	—	2	2	no	—
503	C₂²×C₄×C₇₃	—	2	2	no	—
504	C₂²×C₄×C₇₃	—	2	2	no	—
505	C₂²×C₄×C₇₃	—	4	1	no	—
506	C₂²×C₄×C₇₃	—	4	1	no	—
507	C₂²×C₄×C₇₃	—	4	1	no	—
508	C₂²×C₄×C₇₃	—	4	1	no	—
509	C₂²×C₄×C₇₃	—	4	1	no	—
510	C₂²×C₄×C₇₃	C₂²×C₄	1	4	yes	—
511	C₂²×C₄×C₇₃	C₂⁴	1	1	yes	characteristic
512	C₂²×C₄×C₇₃	C₂⁴	1	1	yes	characteristic
513	C₂²×C₄×C₇₃	C₂⁴	1	1	yes	characteristic
514	C₂²×C₄×C₇₃	C₂⁴	1	1	yes	characteristic
515	C₂²×C₄×C₇₃	C₂⁴	1	1	yes	characteristic
516	C₂²×C₄×C₇₃	C₂⁴	1	1	yes	characteristic
517	C₂²×C₄×C₇₃	C₂⁴	1	1	yes	characteristic
518	C₂²×C₄×C₇₃	C₂⁴	1	1	yes	characteristic
519	C₂²×C₄×C₇₃	C₂⁴	1	1	yes	characteristic
520	C₂²×C₄×C₇₃	C₂⁴	1	1	yes	characteristic
521	C₂²×C₄×C₇₃	C₂⁴	1	1	yes	characteristic
522	C₂²×C₄×C₇₃	C₂⁴	1	1	yes	characteristic
523	C₂²×C₄×C₇₃	C₂⁴	1	1	yes	characteristic
524	C₄⋊C₄×C₇₃	—	2	2	no	—
525	C₄⋊C₄×C₇₃	—	4	1	no	—
526	C₄⋊C₄×C₇₃	—	4	1	no	—
527	C₄⋊C₄×C₇₃	—	4	1	no	—
528	C₄⋊C₄×C₇₃	—	4	1	no	—
529	C₄⋊C₄×C₇₃	C₂²×C₄	1	4	yes	—
530	C₄⋊C₄×C₇₃	C₂²×C₄	1	4	yes	—
531	C₂²⋊C₄×C₇₃	—	2	2	no	—
532	C₂²⋊C₄×C₇₃	—	2	2	no	—
533	C₂²⋊C₄×C₇₃	—	4	1	no	—
534	C₂²⋊C₄×C₇₃	—	4	1	no	—
535	C₂²⋊C₄×C₇₃	—	4	1	no	—
536	C₂²⋊C₄×C₇₃	C₂²×C₄	1	4	yes	—
537	C₂²⋊C₄×C₇₃	C₂²×C₄	1	4	yes	—
538	C₂²⋊C₄×C₇₃	C₂²×C₄	1	4	yes	—
539	C₄²×C₇₃	—	4	1	no	—
540	C₄²×C₇₃	—	4	1	no	—
541	C₄²×C₇₃	—	4	1	no	—
542	C₄²×C₇₃	—	4	1	no	—
543	C₄²×C₇₃	—	4	1	no	—
544	C₂³×C₇₃	—	2	1	no	—
545	C₂³×C₇₃	—	2	1	no	—
546	C₂³×C₇₃	—	2	1	no	—
547	C₂³×C₇₃	—	2	1	no	—
548	C₂³×C₇₃	—	2	1	no	—
549	C₂³×C₇₃	—	2	1	no	—
550	C₂³×C₇₃	—	2	1	no	—
551	C₂³×C₇₃	—	2	1	no	—
552	C₂³×C₇₃	—	2	1	no	—
553	C₂³×C₇₃	—	2	1	no	—
554	C₂³×C₇₃	C₂³×C₄	1	2	yes	—
555	C₂³×C₇₃	C₂³×C₄	1	2	yes	—
556	C₂³×C₇₃	H(5,𝔽₂)	1	2	yes	—
557	C₂³×C₇₃	H(5,𝔽₂)	1	2	yes	—
558	C₂³×C₇₃	C₂⁵	1	1	yes	characteristic
559	C₂²×D₇₃	—	2	1	no	—
560	C₂²×D₇₃	—	2	1	no	—
561	C₂²×D₇₃	—	2	1	no	—
562	C₂²×D₇₃	—	2	1	no	—
563	C₂²×D₇₃	—	2	1	no	—
564	C₂²×D₇₃	—	2	1	no	—
565	C₂²×D₇₃	C₂³×C₄	1	2	yes	—
566	D₄×C₇₃	—	2	8	no	—
567	C₂×C₄×C₇₃	—	2	8	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	—	2	1	no	—
586	C₂×C₄×C₇₃	—	2	1	no	—
587	C₂×C₄×C₇₃	—	2	1	no	—
588	C₂×C₄×C₇₃	—	2	1	no	—
589	C₂×C₄×C₇₃	—	2	1	no	—
590	C₂×C₄×C₇₃	—	2	1	no	—
591	C₂×C₄×C₇₃	—	2	1	no	—
592	C₂×C₄×C₇₃	—	2	1	no	—
593	C₂×C₄×C₇₃	—	2	1	no	—
594	C₂×C₄×C₇₃	—	2	1	no	—
595	C₂×C₄×C₇₃	—	2	1	no	—
596	C₂×C₄×C₇₃	—	2	1	no	—
597	C₂×C₄×C₇₃	—	2	1	no	—
598	C₂×C₄×C₇₃	—	2	1	no	—
599	C₂×C₄×C₇₃	—	2	1	no	—
600	C₂×C₄×C₇₃	—	2	1	no	—
601	C₂×C₄×C₇₃	—	4	4	no	—
602	C₂×C₄×C₇₃	—	8	2	no	—
603	C₂×C₄×C₇₃	—	8	2	no	—
604	C₂×C₄×C₇₃	C₂³×C₄	1	2	yes	—
605	C₂×C₄×C₇₃	C₂³×C₄	1	2	yes	—
606	C₂×C₄×C₇₃	C₂³×C₄	1	2	yes	—
607	C₂×C₄×C₇₃	C₂³×C₄	1	2	yes	—
608	C₂×C₄×C₇₃	C₂³×C₄	1	2	yes	—
609	C₂×C₄×C₇₃	2₋¹⁺⁴	1	2	yes	—
610	C₂²⋊D₇₃	—	2	8	no	—
611	C₂²⋊D₇₃	—	4	4	no	—
612	C₂×Dic₇₃	—	2	8	no	—
613	C₂×Dic₇₃	—	2	8	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	—	2	1	no	—
635	C₂×Dic₇₃	—	2	1	no	—
636	C₂×Dic₇₃	—	2	1	no	—
637	C₂×Dic₇₃	—	2	1	no	—
638	C₂×Dic₇₃	—	2	1	no	—
639	C₂×Dic₇₃	—	2	1	no	—
640	C₂×Dic₇₃	—	2	1	no	—
641	C₂×Dic₇₃	—	2	1	no	—
642	C₂×Dic₇₃	—	2	1	no	—
643	C₂×Dic₇₃	—	2	1	no	—
644	C₂×Dic₇₃	—	2	1	no	—
645	C₂×Dic₇₃	—	2	1	no	—
646	C₂×Dic₇₃	—	2	1	no	—
647	C₂×Dic₇₃	—	2	1	no	—
648	C₂×Dic₇₃	—	2	1	no	—
649	C₂×Dic₇₃	—	2	1	no	—
650	C₂×Dic₇₃	—	2	1	no	—
651	C₂×Dic₇₃	—	4	4	no	—
652	C₂×Dic₇₃	—	4	4	no	—
653	C₂×Dic₇₃	—	8	2	no	—
654	C₂×Dic₇₃	—	8	2	no	—
655	C₂×Dic₇₃	C₂³×C₄	1	2	yes	—
656	C₂×Dic₇₃	C₂³×C₄	1	2	yes	—
657	C₂×Dic₇₃	C₂³×C₄	1	2	yes	—
658	C₂×Dic₇₃	C₂³×C₄	1	2	yes	—
659	C₂×Dic₇₃	C₂³×C₄	1	2	yes	—
660	C₂×Dic₇₃	C₂³×C₄	1	2	yes	—
661	C₂×Dic₇₃	C₂³×C₄	1	2	yes	—
662	C₂×Dic₇₃	2₋¹⁺⁴	1	2	yes	—
663	C₄×D₇₃	—	4	4	no	—
664	C₄×D₇₃	—	8	2	no	—
665	C₄×D₇₃	—	8	2	no	—
666	Dic₁₄₆	—	4	4	no	—
667	Dic₁₄₆	—	4	4	no	—
668	Dic₁₄₆	—	4	4	no	—
669	Dic₁₄₆	—	4	4	no	—
670	Dic₁₄₆	—	4	4	no	—
671	C₂²×C₇₃	—	2	2	no	—
672	C₂²×C₇₃	—	2	2	no	—
673	C₂²×C₇₃	—	2	2	no	—
674	C₂²×C₇₃	—	2	2	no	—
675	C₂²×C₇₃	—	2	2	no	—
676	C₂²×C₇₃	—	2	2	no	—
677	C₂²×C₇₃	—	2	2	no	—
678	C₂²×C₇₃	—	2	2	no	—
679	C₂²×C₇₃	—	2	2	no	—
680	C₂²×C₇₃	—	4	1	no	—
681	C₂²×C₇₃	—	4	1	no	—
682	C₂²×C₇₃	—	4	1	no	—
683	C₂²×C₇₃	—	4	1	no	—
684	C₂²×C₇₃	#518	1	4	yes	—
685	C₂²×C₇₃	C₂⁴×C₄	1	1	yes	characteristic
686	C₂²×C₇₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
687	C₂²×C₇₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
688	C₂²×C₇₃	C₂×2₋¹⁺⁴	1	1	yes	characteristic
689	C₂²×C₇₃	C₂×2₋¹⁺⁴	1	1	yes	characteristic
690	C₂²×C₇₃	#585	1	1	yes	characteristic
691	C₂²×C₇₃	#585	1	1	yes	characteristic
692	C₂×D₇₃	—	2	2	no	—
693	C₂×D₇₃	—	2	2	no	—
694	C₂×D₇₃	—	2	2	no	—
695	C₂×D₇₃	—	4	1	no	—
696	C₂×D₇₃	—	4	1	no	—
697	C₂×D₇₃	—	4	1	no	—
698	C₂×D₇₃	—	4	1	no	—
699	C₄×C₇₃	—	2	2	no	—
700	C₄×C₇₃	—	2	2	no	—
701	C₄×C₇₃	—	2	2	no	—
702	C₄×C₇₃	—	2	2	no	—
703	C₄×C₇₃	—	2	2	no	—
704	C₄×C₇₃	—	2	2	no	—
705	C₄×C₇₃	—	4	1	no	—
706	C₄×C₇₃	—	4	1	no	—
707	C₄×C₇₃	—	4	1	no	—
708	C₄×C₇₃	—	4	1	no	—
709	C₄×C₇₃	—	4	1	no	—
710	C₄×C₇₃	—	4	1	no	—
711	C₄×C₇₃	—	4	1	no	—
712	Dic₇₃	—	2	2	no	—
713	Dic₇₃	—	2	2	no	—
714	Dic₇₃	—	2	2	no	—
715	Dic₇₃	—	2	2	no	—
716	Dic₇₃	—	2	2	no	—
717	Dic₇₃	—	2	2	no	—
718	Dic₇₃	—	2	2	no	—
719	Dic₇₃	—	2	2	no	—
720	Dic₇₃	—	4	1	no	—
721	Dic₇₃	—	4	1	no	—
722	Dic₇₃	—	4	1	no	—
723	Dic₇₃	—	4	1	no	—
724	Dic₇₃	—	4	1	no	—
725	Dic₇₃	—	4	1	no	—
726	Dic₇₃	—	4	1	no	—
727	#34409	—	73	1	no	maximal, Sylow
728	C₂×C₇₃	—	2	4	no	—
729	C₂×C₇₃	—	4	2	no	—
730	C₂×C₇₃	C₂×#518	1	1	yes	characteristic
731	C₂×C₇₃	C₄×2₋¹⁺⁴	1	1	yes	characteristic
732	C₂×C₇₃	C₄×2₋¹⁺⁴	1	1	yes	characteristic
733	C₂×C₇₃	#3535	1	1	yes	characteristic
734	C₂×C₇₃	#3535	1	1	yes	characteristic
735	C₂×C₇₃	#3544	1	1	yes	characteristic
736	C₂×C₇₃	#3545	1	1	yes	characteristic
737	D₇₃	—	4	2	no	—
738	C₂×#536	—	73	1	no	—
739	#2381	—	73	1	no	—
740	#2379	—	73	1	no	—
741	#2378	—	73	1	no	—
742	#2378	—	73	1	no	—
743	#2372	—	73	1	no	—
744	#2369	—	73	1	no	—
745	#2368	—	73	1	no	—
746	#2368	—	73	1	no	—
747	#2359	—	73	1	no	—
748	#2359	—	73	1	no	—
749	#2359	—	73	1	no	—
750	#2359	D₇₃	1	1	yes	characteristic, complemented
751	#2343	—	73	1	no	—
752	#2343	—	73	1	no	—
753	#2339	—	73	1	no	—
754	#2339	—	73	1	no	—
755	#2337	—	73	1	no	—
756	#2337	—	73	1	no	—
757	#2332	—	73	1	no	—
758	#2332	—	73	1	no	—
759	#2331	—	73	1	no	—
760	#2331	—	73	1	no	—
761	#2329	—	73	1	no	—
762	#2329	—	73	1	no	—
763	#2322	—	73	1	no	—
764	#2322	—	73	1	no	—
765	#2310	—	73	1	no	—
766	C₄×#123	—	73	1	no	—
767	C₄×#123	—	73	1	no	—
768	C₂×#391	—	73	1	no	—
769	C₇₃	#34409	1	1	yes	characteristic, complemented, Sylow
770	C₂²×#41	—	73	1	no	—
771	C₂³×Q₈	—	73	1	no	—
772	#536	—	73	16	no	—
773	C₂×C₄⋊Q₈	—	73	1	no	—
774	C₂×C₄⋊Q₈	—	73	1	no	—
775	C₂×#124	—	73	1	no	—
776	C₂×#124	—	73	1	no	—
777	C₂×#123	—	73	1	no	—
778	C₂×#123	—	73	1	no	—
779	C₂×#123	—	73	1	no	—
780	C₂×#123	C₂×D₇₃	1	1	yes	characteristic
781	C₂×C₂²⋊Q₈	—	73	1	no	—
782	C₂×C₂²⋊Q₈	—	73	1	no	—
783	C₂×C₂²⋊Q₈	—	73	1	no	—
784	C₂×C₂²⋊Q₈	—	73	1	no	—
785	C₂×C₄×D₄	—	73	1	no	—
786	C₂×C₄×D₄	—	73	1	no	—
787	C₂×C₄×D₄	—	73	1	no	—
788	C₂×C₄×D₄	C₂×D₇₃	1	1	yes	characteristic
789	C₂×#117	—	73	1	no	—
790	C₂×#117	—	73	1	no	—
791	C₂×#117	C₂×D₇₃	1	1	yes	characteristic
792	C₂²×C₄⋊C₄	—	73	1	no	—
793	C₂²×C₄²	—	73	1	no	—
794	#391	—	73	1	no	—
795	#391	—	73	1	no	—
796	#391	—	73	1	no	—
797	#391	—	73	1	no	—
798	#391	—	73	1	no	—
799	#391	—	73	1	no	—
800	#391	—	73	1	no	—
801	#391	—	73	1	no	—
802	#391	—	73	1	no	—
803	#391	—	73	1	no	—
804	#391	—	73	1	no	—
805	#391	—	73	1	no	—
806	#391	—	73	1	no	—
807	#391	—	73	1	no	—
808	#391	—	73	1	no	—
809	#391	—	73	1	no	—
810	#391	—	73	1	no	—
811	#391	—	73	1	no	—
812	#391	—	73	1	no	—
813	#391	—	73	1	no	—
814	#389	—	73	1	no	—
815	#389	—	73	1	no	—
816	#389	—	73	1	no	—
817	#389	—	73	1	no	—
818	#389	—	73	1	no	—
819	#389	—	73	1	no	—
820	#389	—	73	1	no	—
821	#389	C₂×D₇₃	1	1	yes	characteristic
822	#388	—	73	1	no	—
823	#388	—	73	1	no	—
824	#388	—	73	1	no	—
825	#388	—	73	1	no	—
826	#388	—	73	1	no	—
827	#388	—	73	1	no	—
828	#388	—	73	1	no	—
829	#388	—	73	1	no	—
830	#388	—	73	1	no	—
831	#388	—	73	1	no	—
832	#388	—	73	1	no	—
833	#388	—	73	1	no	—
834	#388	—	73	1	no	—
835	#388	—	73	1	no	—
836	#388	C₂×D₇₃	1	1	yes	characteristic
837	#388	C₂×D₇₃	1	1	yes	characteristic
838	#387	—	73	1	no	—
839	#387	—	73	1	no	—
840	#387	—	73	1	no	—
841	#387	—	73	1	no	—
842	#387	—	73	1	no	—
843	#387	—	73	1	no	—
844	#387	—	73	1	no	—
845	#387	—	73	1	no	—
846	#387	—	73	1	no	—
847	#387	—	73	1	no	—
848	#387	—	73	1	no	—
849	#387	—	73	1	no	—
850	#387	—	73	1	no	—
851	#387	—	73	1	no	—
852	#387	—	73	1	no	—
853	#387	—	73	1	no	—
854	#387	—	73	1	no	—
855	#387	—	73	1	no	—
856	#387	—	73	1	no	—
857	#387	—	73	1	no	—
858	#387	—	73	1	no	—
859	#387	—	73	1	no	—
860	#387	C₂×D₇₃	1	1	yes	characteristic
861	#387	C₂×D₇₃	1	1	yes	characteristic
862	#386	—	73	1	no	—
863	#386	—	73	1	no	—
864	#386	—	73	1	no	—
865	#386	—	73	1	no	—
866	#386	—	73	1	no	—
867	#386	—	73	1	no	—
868	#386	—	73	1	no	—
869	#386	C₂×D₇₃	1	1	yes	characteristic
870	#385	—	73	1	no	—
871	#385	—	73	1	no	—
872	#385	—	73	1	no	—
873	#385	—	73	1	no	—
874	#385	—	73	1	no	—
875	#385	—	73	1	no	—
876	#385	—	73	1	no	—
877	#385	—	73	1	no	—
878	#385	—	73	1	no	—
879	#385	—	73	1	no	—
880	#385	C₂×D₇₃	1	1	yes	characteristic
881	#385	C₂×D₇₃	1	1	yes	characteristic
882	#383	—	73	1	no	—
883	#383	—	73	1	no	—
884	#382	—	73	1	no	—
885	#382	—	73	1	no	—
886	#381	—	73	1	no	—
887	#381	—	73	1	no	—
888	#381	—	73	1	no	—
889	#381	—	73	1	no	—
890	#381	—	73	1	no	—
891	#381	—	73	1	no	—
892	#380	—	73	1	no	—
893	#380	—	73	1	no	—
894	C₄×C₄⋊C₄	—	73	1	no	—
895	C₄×C₄⋊C₄	—	73	1	no	—
896	C₄×C₄⋊C₄	—	73	1	no	—
897	C₄×C₄⋊C₄	—	73	1	no	—
898	C₄×C₄⋊C₄	—	73	1	no	—
899	C₄×C₄⋊C₄	—	73	1	no	—
900	C₄×C₄⋊C₄	—	73	1	no	—
901	C₄×C₄⋊C₄	—	73	1	no	—
902	C₄×C₄⋊C₄	—	73	1	no	—
903	C₄×C₄⋊C₄	C₂×D₇₃	1	1	yes	characteristic
904	C₄×C₂²⋊C₄	—	73	1	no	—
905	C₄×C₂²⋊C₄	—	73	1	no	—
906	C₄×C₂²⋊C₄	—	73	1	no	—
907	C₄×C₂²⋊C₄	—	73	1	no	—
908	C₄×C₂²⋊C₄	—	73	1	no	—
909	C₄×C₂²⋊C₄	—	73	1	no	—
910	C₄×C₂²⋊C₄	—	73	1	no	—
911	C₄×C₂²⋊C₄	—	73	1	no	—
912	C₄×C₂²⋊C₄	—	73	1	no	—
913	C₄×C₂²⋊C₄	—	73	1	no	—
914	C₄×C₂²⋊C₄	—	73	1	no	—
915	C₄×C₂²⋊C₄	—	73	1	no	—
916	C₄×C₂²⋊C₄	C₂×D₇₃	1	1	yes	characteristic
917	C₄×C₂²⋊C₄	C₂×D₇₃	1	1	yes	characteristic
918	#376	—	73	1	no	—
919	#376	—	73	1	no	—
920	C₂×#95	—	73	1	no	—
921	C₂×#95	—	73	1	no	—
922	C₂×#95	—	73	1	no	—
923	C₂×#95	—	73	1	no	—
924	C₂×#95	—	73	1	no	—
925	C₂×#95	C₂×D₇₃	1	1	yes	characteristic
926	C₂×#41	—	292	2	no	—
927	C₂×#41	—	292	2	no	—
928	C₂×#41	—	73	8	no	—
929	C₂²×Q₈	—	292	2	no	—
930	C₂²×Q₈	—	292	2	no	—
931	C₂²×Q₈	—	73	8	no	—
932	C₂²×Q₈	—	73	1	no	—
933	C₂²×Q₈	—	73	1	no	—
934	C₂²×Q₈	—	73	1	no	—
935	C₂²×Q₈	—	73	1	no	—
936	C₂²×Q₈	—	73	1	no	—
937	C₂²×D₄	—	73	1	no	—
938	C₂²×D₄	—	73	1	no	—
939	C₂²×D₄	C₂²×D₇₃	1	1	yes	characteristic
940	C₂³×C₄	—	73	1	no	—
941	C₂³×C₄	—	73	1	no	—
942	C₂³×C₄	—	73	1	no	—
943	C₂³×C₄	—	73	1	no	—
944	C₂³×C₄	—	73	1	no	—
945	C₂³×C₄	—	73	1	no	—
946	C₂³×C₄	—	73	1	no	—
947	C₂³×C₄	—	73	1	no	—
948	C₂³×C₄	—	73	1	no	—
949	C₂³×C₄	C₂²×D₇₃	1	1	yes	characteristic
950	C₂³×C₄	C₂²×D₇₃	1	1	yes	characteristic
951	C₂³×C₄	C₂²×D₇₃	1	1	yes	characteristic
952	C₂³×C₄	C₂²×D₇₃	1	1	yes	characteristic
953	C₄⋊Q₈	—	73	8	no	—
954	C₄⋊Q₈	—	73	8	no	—
955	#124	—	73	8	no	—
956	#124	—	73	8	no	—
957	#123	—	73	8	no	—
958	#123	—	73	8	no	—
959	#123	—	73	8	no	—
960	#123	C₄×D₇₃	1	8	yes	complemented
961	C₂²⋊Q₈	—	73	8	no	—
962	C₂²⋊Q₈	—	73	8	no	—
963	C₂²⋊Q₈	—	73	8	no	—
964	C₂²⋊Q₈	—	73	8	no	—
965	C₄×D₄	—	4	2	no	—
966	C₄×D₄	—	292	2	no	—
967	C₄×D₄	—	292	2	no	—
968	C₄×D₄	—	292	2	no	—
969	#117	—	4	2	no	—
970	#117	—	292	2	no	—
971	#117	—	73	8	no	—
972	C₂×C₄⋊C₄	—	292	2	no	—
973	C₂×C₄⋊C₄	—	73	1	no	—
974	C₂×C₄⋊C₄	—	73	1	no	—
975	C₂×C₄⋊C₄	—	73	1	no	—
976	C₂×C₄⋊C₄	—	73	1	no	—
977	C₂×C₄⋊C₄	—	73	1	no	—
978	C₂×C₄⋊C₄	—	73	1	no	—
979	C₂×C₄⋊C₄	—	73	1	no	—
980	C₂×C₄⋊C₄	—	73	1	no	—
981	C₂×C₄⋊C₄	—	73	1	no	—
982	C₂×C₄⋊C₄	—	73	1	no	—
983	C₂×C₄⋊C₄	—	73	1	no	—
984	C₂×C₄⋊C₄	—	73	1	no	—
985	C₂×C₄⋊C₄	—	73	1	no	—
986	C₂×C₄⋊C₄	—	73	1	no	—
987	C₂×C₄⋊C₄	—	73	1	no	—
988	C₂×C₄⋊C₄	—	73	1	no	—
989	C₂×C₄⋊C₄	—	73	1	no	—
990	C₂×C₄⋊C₄	—	73	1	no	—
991	C₂×C₄⋊C₄	—	73	1	no	—
992	C₂×C₄⋊C₄	—	73	1	no	—
993	C₂×C₄⋊C₄	—	73	1	no	—
994	C₂×C₄⋊C₄	—	73	1	no	—
995	C₂×C₄⋊C₄	—	73	1	no	—
996	C₂×C₄⋊C₄	C₂²×D₇₃	1	1	yes	characteristic
997	C₂×C₄⋊C₄	C₂²×D₇₃	1	1	yes	characteristic
998	C₂×C₄⋊C₄	C₂²×D₇₃	1	1	yes	characteristic
999	C₂×C₄⋊C₄	C₂²×D₇₃	1	1	yes	characteristic
1000	C₂×C₄⋊C₄	C₂²×D₇₃	1	1	yes	characteristic
1001	C₂×C₄⋊C₄	C₂²×D₇₃	1	1	yes	characteristic
1002	C₂×C₄⋊C₄	C₂²×D₇₃	1	1	yes	characteristic
1003	C₂×C₂²⋊C₄	—	73	1	no	—
1004	C₂×C₂²⋊C₄	—	73	1	no	—
1005	C₂×C₂²⋊C₄	—	73	1	no	—
1006	C₂×C₂²⋊C₄	—	73	1	no	—
1007	C₂×C₂²⋊C₄	—	73	1	no	—
1008	C₂×C₂²⋊C₄	—	73	1	no	—
1009	C₂×C₂²⋊C₄	—	73	1	no	—
1010	C₂×C₂²⋊C₄	—	73	1	no	—
1011	C₂×C₂²⋊C₄	—	73	1	no	—
1012	C₂×C₂²⋊C₄	—	73	1	no	—
1013	C₂×C₂²⋊C₄	—	73	1	no	—
1014	C₂×C₂²⋊C₄	—	73	1	no	—
1015	C₂×C₂²⋊C₄	—	73	1	no	—
1016	C₂×C₂²⋊C₄	—	73	1	no	—
1017	C₂×C₂²⋊C₄	—	73	1	no	—
1018	C₂×C₂²⋊C₄	—	73	1	no	—
1019	C₂×C₂²⋊C₄	—	73	1	no	—
1020	C₂×C₂²⋊C₄	—	73	1	no	—
1021	C₂×C₂²⋊C₄	C₂²×D₇₃	1	1	yes	characteristic
1022	C₂×C₂²⋊C₄	C₂²×D₇₃	1	1	yes	characteristic
1023	C₂×C₂²⋊C₄	C₂²×D₇₃	1	1	yes	characteristic
1024	C₂×C₂²⋊C₄	C₂²×D₇₃	1	1	yes	characteristic
1025	C₂×C₂²⋊C₄	C₂²×D₇₃	1	1	yes	characteristic
1026	C₂×C₂²⋊C₄	C₂²×D₇₃	1	1	yes	characteristic
1027	C₂×C₂²⋊C₄	C₂²×D₇₃	1	1	yes	characteristic
1028	C₂×C₂²⋊C₄	C₂²×D₇₃	1	1	yes	characteristic
1029	C₂×C₄²	—	292	2	no	—
1030	C₂×C₄²	—	73	1	no	—
1031	C₂×C₄²	—	73	1	no	—
1032	C₂×C₄²	—	73	1	no	—
1033	C₂×C₄²	—	73	1	no	—
1034	C₂×C₄²	—	73	1	no	—
1035	C₂×C₄²	—	73	1	no	—
1036	C₂×C₄²	—	73	1	no	—
1037	C₂×C₄²	—	73	1	no	—
1038	C₂×C₄²	—	73	1	no	—
1039	C₂×C₄²	—	73	1	no	—
1040	C₂×C₄²	—	73	1	no	—
1041	C₂×C₄²	—	73	1	no	—
1042	C₂×C₄²	—	73	1	no	—
1043	C₂×C₄²	—	73	1	no	—
1044	C₂×C₄²	—	73	1	no	—
1045	C₂×C₄²	—	73	1	no	—
1046	C₂×C₄²	—	73	1	no	—
1047	C₂×C₄²	C₂²×D₇₃	1	1	yes	characteristic
1048	C₂×C₄²	C₂²×D₇₃	1	1	yes	characteristic
1049	C₂×C₄²	C₂²×D₇₃	1	1	yes	characteristic
1050	C₂×C₄²	C₂²×D₇₃	1	1	yes	characteristic
1051	C₂×C₄²	C₂²×D₇₃	1	1	yes	characteristic
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	—	73	1	no	—
1071	#95	—	73	1	no	—
1072	#95	—	73	1	no	—
1073	#95	—	73	1	no	—
1074	#95	—	73	1	no	—
1075	#95	—	73	1	no	—
1076	#95	—	73	1	no	—
1077	#95	—	73	1	no	—
1078	#95	—	73	1	no	—
1079	#95	—	73	1	no	—
1080	#95	—	73	1	no	—
1081	#95	—	73	1	no	—
1082	#95	—	73	1	no	—
1083	#95	—	73	1	no	—
1084	#95	—	73	1	no	—
1085	#95	—	73	1	no	—
1086	#95	—	73	1	no	—
1087	#95	—	73	1	no	—
1088	#95	—	73	1	no	—
1089	#95	—	73	1	no	—
1090	#95	—	73	1	no	—
1091	#95	—	73	1	no	—
1092	#95	—	73	1	no	—
1093	#95	—	73	1	no	—
1094	#95	—	73	1	no	—
1095	#95	—	73	1	no	—
1096	#95	—	73	1	no	—
1097	#95	—	73	1	no	—
1098	#95	C₂²×D₇₃	1	1	yes	characteristic
1099	#95	C₂²×D₇₃	1	1	yes	characteristic
1100	#95	C₂²×D₇₃	1	1	yes	characteristic
1101	#95	C₂²×D₇₃	1	1	yes	characteristic
1102	#95	C₂²×D₇₃	1	1	yes	characteristic
1103	#95	C₂²×D₇₃	1	1	yes	characteristic
1104	#95	C₂²×D₇₃	1	1	yes	characteristic
1105	#95	C₂²×D₇₃	1	1	yes	characteristic
1106	#95	C₂²×D₇₃	1	1	yes	characteristic
1107	#95	C₂²×D₇₃	1	1	yes	characteristic
1108	C₂⁴	—	73	1	no	—
1109	C₂⁴	C₂³×D₇₃	1	1	yes	characteristic
1110	C₂⁴	C₂³×D₇₃	1	1	yes	characteristic
1111	#41	—	292	16	no	—
1112	C₂×Q₈	—	292	1	no	—
1113	C₂×Q₈	—	292	1	no	—
1114	C₂×Q₈	—	292	1	no	—
1115	C₂×Q₈	—	292	1	no	—
1116	C₂×Q₈	—	292	1	no	—
1117	C₂×Q₈	—	292	1	no	—
1118	C₂×Q₈	—	292	1	no	—
1119	C₂×Q₈	—	292	1	no	—
1120	C₂×Q₈	—	292	16	no	—
1121	C₂×Q₈	—	292	1	no	—
1122	C₂×Q₈	—	292	1	no	—
1123	C₂×Q₈	—	73	4	no	—
1124	C₂×Q₈	—	73	4	no	—
1125	C₂×Q₈	—	73	4	no	—
1126	C₂×Q₈	—	73	4	no	—
1127	C₂×Q₈	—	73	4	no	—
1128	C₂×D₄	—	2	2	no	—
1129	C₂×D₄	—	2	2	no	—
1130	C₂×D₄	—	292	1	no	—
1131	C₂×D₄	—	292	1	no	—
1132	C₂×D₄	—	73	4	no	—
1133	C₂×D₄	—	73	4	no	—
1134	C₂×D₄	—	146	2	no	—
1135	C₂×D₄	—	146	2	no	—
1136	C₂×D₄	C₂×C₄×D₇₃	1	4	yes	—
1137	C₂²×C₄	—	2	2	no	—
1138	C₂²×C₄	—	2	2	no	—
1139	C₂²×C₄	—	2	2	no	—
1140	C₂²×C₄	—	2	2	no	—
1141	C₂²×C₄	—	2	2	no	—
1142	C₂²×C₄	—	2	2	no	—
1143	C₂²×C₄	—	4	1	no	—
1144	C₂²×C₄	—	4	1	no	—
1145	C₂²×C₄	—	4	1	no	—
1146	C₂²×C₄	—	4	1	no	—
1147	C₂²×C₄	—	4	1	no	—
1148	C₂²×C₄	—	292	1	no	—
1149	C₂²×C₄	—	292	1	no	—
1150	C₂²×C₄	—	292	1	no	—
1151	C₂²×C₄	—	292	1	no	—
1152	C₂²×C₄	—	292	1	no	—
1153	C₂²×C₄	—	292	1	no	—
1154	C₂²×C₄	—	292	1	no	—
1155	C₂²×C₄	—	292	1	no	—
1156	C₂²×C₄	—	292	1	no	—
1157	C₂²×C₄	—	292	1	no	—
1158	C₂²×C₄	—	292	1	no	—
1159	C₂²×C₄	—	292	1	no	—
1160	C₂²×C₄	—	292	1	no	—
1161	C₂²×C₄	—	292	1	no	—
1162	C₂²×C₄	—	292	1	no	—
1163	C₂²×C₄	—	73	4	no	—
1164	C₂²×C₄	—	73	4	no	—
1165	C₂²×C₄	—	73	4	no	—
1166	C₂²×C₄	—	73	4	no	—
1167	C₂²×C₄	—	73	1	no	—
1168	C₂²×C₄	—	73	1	no	—
1169	C₂²×C₄	—	73	1	no	—
1170	C₂²×C₄	—	73	1	no	—
1171	C₂²×C₄	—	73	1	no	—
1172	C₂²×C₄	—	73	1	no	—
1173	C₂²×C₄	—	73	1	no	—
1174	C₂²×C₄	—	73	1	no	—
1175	C₂²×C₄	—	73	1	no	—
1176	C₂²×C₄	—	73	1	no	—
1177	C₂²×C₄	—	73	1	no	—
1178	C₂²×C₄	—	73	1	no	—
1179	C₂²×C₄	—	73	1	no	—
1180	C₂²×C₄	—	73	1	no	—
1181	C₂²×C₄	—	73	1	no	—
1182	C₂²×C₄	—	146	2	no	—
1183	C₂²×C₄	—	146	2	no	—
1184	C₂²×C₄	—	146	2	no	—
1185	C₂²×C₄	—	146	2	no	—
1186	C₂²×C₄	—	146	2	no	—
1187	C₂²×C₄	—	146	2	no	—
1188	C₂²×C₄	—	146	2	no	—
1189	C₂²×C₄	—	146	2	no	—
1190	C₂²×C₄	C₂×C₄×D₇₃	1	4	yes	—
1191	C₂²×C₄	C₂³×D₇₃	1	1	yes	characteristic
1192	C₂²×C₄	C₂³×D₇₃	1	1	yes	characteristic
1193	C₂²×C₄	C₂³×D₇₃	1	1	yes	characteristic
1194	C₂²×C₄	C₂³×D₇₃	1	1	yes	characteristic
1195	C₂²×C₄	C₂³×D₇₃	1	1	yes	characteristic
1196	C₂²×C₄	C₂³×D₇₃	1	1	yes	characteristic
1197	C₂²×C₄	C₂³×D₇₃	1	1	yes	characteristic
1198	C₂²×C₄	C₂³×D₇₃	1	1	yes	characteristic
1199	C₂²×C₄	C₂³×D₇₃	1	1	yes	characteristic
1200	C₂²×C₄	C₂³×D₇₃	1	1	yes	characteristic
1201	C₂²×C₄	C₂³×D₇₃	1	1	yes	characteristic
1202	C₂²×C₄	C₂³×D₇₃	1	1	yes	characteristic
1203	C₂²×C₄	C₂³×D₇₃	1	1	yes	characteristic
1204	C₄⋊C₄	—	2	2	no	—
1205	C₄⋊C₄	—	4	1	no	—
1206	C₄⋊C₄	—	4	1	no	—
1207	C₄⋊C₄	—	4	1	no	—
1208	C₄⋊C₄	—	4	1	no	—
1209	C₄⋊C₄	—	292	1	no	—
1210	C₄⋊C₄	—	292	1	no	—
1211	C₄⋊C₄	—	292	1	no	—
1212	C₄⋊C₄	—	292	1	no	—
1213	C₄⋊C₄	—	292	1	no	—
1214	C₄⋊C₄	—	292	1	no	—
1215	C₄⋊C₄	—	292	1	no	—
1216	C₄⋊C₄	—	292	1	no	—
1217	C₄⋊C₄	—	292	1	no	—
1218	C₄⋊C₄	—	292	1	no	—
1219	C₄⋊C₄	—	292	1	no	—
1220	C₄⋊C₄	—	292	1	no	—
1221	C₄⋊C₄	—	292	1	no	—
1222	C₄⋊C₄	—	292	1	no	—
1223	C₄⋊C₄	—	73	4	no	—
1224	C₄⋊C₄	—	73	4	no	—
1225	C₄⋊C₄	—	73	4	no	—
1226	C₄⋊C₄	—	73	4	no	—
1227	C₄⋊C₄	—	73	4	no	—
1228	C₄⋊C₄	—	73	4	no	—
1229	C₄⋊C₄	—	73	4	no	—
1230	C₄⋊C₄	—	73	4	no	—
1231	C₄⋊C₄	—	146	2	no	—
1232	C₄⋊C₄	C₂×C₄×D₇₃	1	4	yes	—
1233	C₄⋊C₄	C₂×C₄×D₇₃	1	4	yes	—
1234	C₂²⋊C₄	—	2	2	no	—
1235	C₂²⋊C₄	—	2	2	no	—
1236	C₂²⋊C₄	—	4	1	no	—
1237	C₂²⋊C₄	—	4	1	no	—
1238	C₂²⋊C₄	—	4	1	no	—
1239	C₂²⋊C₄	—	292	1	no	—
1240	C₂²⋊C₄	—	292	1	no	—
1241	C₂²⋊C₄	—	292	1	no	—
1242	C₂²⋊C₄	—	292	1	no	—
1243	C₂²⋊C₄	—	292	1	no	—
1244	C₂²⋊C₄	—	292	1	no	—
1245	C₂²⋊C₄	—	292	1	no	—
1246	C₂²⋊C₄	—	73	4	no	—
1247	C₂²⋊C₄	—	73	4	no	—
1248	C₂²⋊C₄	—	73	4	no	—
1249	C₂²⋊C₄	—	73	4	no	—
1250	C₂²⋊C₄	—	73	4	no	—
1251	C₂²⋊C₄	—	73	4	no	—
1252	C₂²⋊C₄	—	73	4	no	—
1253	C₂²⋊C₄	—	146	2	no	—
1254	C₂²⋊C₄	—	146	2	no	—
1255	C₂²⋊C₄	—	146	2	no	—
1256	C₂²⋊C₄	—	146	2	no	—
1257	C₂²⋊C₄	C₂×C₄×D₇₃	1	4	yes	—
1258	C₂²⋊C₄	C₂×C₄×D₇₃	1	4	yes	—
1259	C₂²⋊C₄	C₂×C₄×D₇₃	1	4	yes	—
1260	C₄²	—	4	1	no	—
1261	C₄²	—	4	1	no	—
1262	C₄²	—	4	1	no	—
1263	C₄²	—	4	1	no	—
1264	C₄²	—	4	1	no	—
1265	C₄²	—	292	1	no	—
1266	C₄²	—	292	1	no	—
1267	C₄²	—	292	1	no	—
1268	C₄²	—	292	1	no	—
1269	C₄²	—	292	1	no	—
1270	C₄²	—	292	1	no	—
1271	C₄²	—	292	1	no	—
1272	C₄²	—	292	1	no	—
1273	C₄²	—	292	1	no	—
1274	C₄²	—	292	1	no	—
1275	C₄²	—	292	1	no	—
1276	C₄²	—	292	1	no	—
1277	C₄²	—	292	1	no	—
1278	C₄²	—	73	4	no	—
1279	C₄²	—	73	4	no	—
1280	C₄²	—	146	2	no	—
1281	C₄²	—	146	2	no	—
1282	C₂³	—	2	1	no	—
1283	C₂³	—	2	1	no	—
1284	C₂³	—	2	1	no	—
1285	C₂³	—	2	1	no	—
1286	C₂³	—	2	1	no	—
1287	C₂³	—	2	1	no	—
1288	C₂³	—	2	1	no	—
1289	C₂³	—	2	1	no	—
1290	C₂³	—	2	1	no	—
1291	C₂³	—	2	1	no	—
1292	C₂³	—	73	2	no	—
1293	C₂³	—	146	1	no	—
1294	C₂³	—	146	1	no	—
1295	C₂³	—	146	1	no	—
1296	C₂³	—	146	1	no	—
1297	C₂³	—	146	1	no	—
1298	C₂³	—	146	1	no	—
1299	C₂³	C₂²×C₄×D₇₃	1	2	yes	—
1300	C₂³	C₂²×C₄×D₇₃	1	2	yes	—
1301	C₂³	#14556636	1	2	yes	—
1302	C₂³	#14556637	1	2	yes	—
1303	C₂³	C₂⁴×D₇₃	1	1	yes	characteristic
1304	Q₈	—	292	4	no	—
1305	Q₈	—	292	4	no	—
1306	Q₈	—	292	4	no	—
1307	Q₈	—	292	4	no	—
1308	Q₈	—	292	4	no	—
1309	D₄	—	2	8	no	—
1310	D₄	—	292	4	no	—
1311	D₄	—	146	8	no	—
1312	C₂×C₄	—	2	1	no	—
1313	C₂×C₄	—	2	1	no	—
1314	C₂×C₄	—	2	1	no	—
1315	C₂×C₄	—	2	1	no	—
1316	C₂×C₄	—	2	1	no	—
1317	C₂×C₄	—	2	1	no	—
1318	C₂×C₄	—	2	1	no	—
1319	C₂×C₄	—	2	1	no	—
1320	C₂×C₄	—	2	1	no	—
1321	C₂×C₄	—	2	1	no	—
1322	C₂×C₄	—	2	1	no	—
1323	C₂×C₄	—	2	1	no	—
1324	C₂×C₄	—	2	8	no	—
1325	C₂×C₄	—	2	1	no	—
1326	C₂×C₄	—	2	1	no	—
1327	C₂×C₄	—	2	1	no	—
1328	C₂×C₄	—	2	1	no	—
1329	C₂×C₄	—	2	1	no	—
1330	C₂×C₄	—	2	1	no	—
1331	C₂×C₄	—	2	1	no	—
1332	C₂×C₄	—	2	1	no	—
1333	C₂×C₄	—	2	1	no	—
1334	C₂×C₄	—	2	1	no	—
1335	C₂×C₄	—	2	1	no	—
1336	C₂×C₄	—	2	1	no	—
1337	C₂×C₄	—	2	1	no	—
1338	C₂×C₄	—	2	1	no	—
1339	C₂×C₄	—	2	1	no	—
1340	C₂×C₄	—	2	1	no	—
1341	C₂×C₄	—	2	1	no	—
1342	C₂×C₄	—	2	1	no	—
1343	C₂×C₄	—	2	1	no	—
1344	C₂×C₄	—	2	1	no	—
1345	C₂×C₄	—	2	1	no	—
1346	C₂×C₄	—	4	4	no	—
1347	C₂×C₄	—	8	2	no	—
1348	C₂×C₄	—	8	2	no	—
1349	C₂×C₄	—	292	4	no	—
1350	C₂×C₄	—	292	4	no	—
1351	C₂×C₄	—	292	4	no	—
1352	C₂×C₄	—	584	2	no	—
1353	C₂×C₄	—	584	2	no	—
1354	C₂×C₄	—	584	2	no	—
1355	C₂×C₄	—	584	2	no	—
1356	C₂×C₄	—	73	2	no	—
1357	C₂×C₄	—	73	2	no	—
1358	C₂×C₄	—	73	2	no	—
1359	C₂×C₄	—	73	2	no	—
1360	C₂×C₄	—	73	2	no	—
1361	C₂×C₄	—	73	2	no	—
1362	C₂×C₄	—	73	2	no	—
1363	C₂×C₄	—	73	2	no	—
1364	C₂×C₄	—	146	1	no	—
1365	C₂×C₄	—	146	1	no	—
1366	C₂×C₄	—	146	1	no	—
1367	C₂×C₄	—	146	1	no	—
1368	C₂×C₄	—	146	1	no	—
1369	C₂×C₄	—	146	1	no	—
1370	C₂×C₄	—	146	1	no	—
1371	C₂×C₄	—	146	1	no	—
1372	C₂×C₄	—	146	1	no	—
1373	C₂×C₄	—	146	1	no	—
1374	C₂×C₄	—	146	1	no	—
1375	C₂×C₄	—	146	1	no	—
1376	C₂×C₄	—	146	1	no	—
1377	C₂×C₄	—	146	1	no	—
1378	C₂×C₄	—	146	1	no	—
1379	C₂×C₄	—	146	1	no	—
1380	C₂×C₄	—	146	1	no	—
1381	C₂×C₄	—	146	1	no	—
1382	C₂×C₄	—	146	1	no	—
1383	C₂×C₄	—	146	1	no	—
1384	C₂×C₄	—	146	1	no	—
1385	C₂×C₄	—	146	1	no	—
1386	C₂×C₄	—	146	1	no	—
1387	C₂×C₄	—	146	1	no	—
1388	C₂×C₄	—	146	1	no	—
1389	C₂×C₄	—	146	1	no	—
1390	C₂×C₄	—	146	1	no	—
1391	C₂×C₄	—	146	1	no	—
1392	C₂×C₄	—	146	1	no	—
1393	C₂×C₄	—	146	1	no	—
1394	C₂×C₄	—	146	1	no	—
1395	C₂×C₄	—	146	1	no	—
1396	C₂×C₄	—	146	1	no	—
1397	C₂×C₄	—	146	1	no	—
1398	C₂×C₄	—	146	1	no	—
1399	C₂×C₄	—	146	1	no	—
1400	C₂×C₄	—	146	1	no	—
1401	C₂×C₄	—	146	8	no	—
1402	C₂×C₄	—	146	8	no	—
1403	C₂×C₄	C₂²×C₄×D₇₃	1	2	yes	—
1404	C₂×C₄	C₂²×C₄×D₇₃	1	2	yes	—
1405	C₂×C₄	C₂²×C₄×D₇₃	1	2	yes	—
1406	C₂×C₄	C₂²×C₄×D₇₃	1	2	yes	—
1407	C₂×C₄	C₂²×C₄×D₇₃	1	2	yes	—
1408	C₂×C₄	#14556638	1	2	yes	—
1409	C₂²	—	2	2	no	—
1410	C₂²	—	2	2	no	—
1411	C₂²	—	2	2	no	—
1412	C₂²	—	2	2	no	—
1413	C₂²	—	2	2	no	—
1414	C₂²	—	2	2	no	—
1415	C₂²	—	2	2	no	—
1416	C₂²	—	2	2	no	—
1417	C₂²	—	2	2	no	—
1418	C₂²	—	4	1	no	—
1419	C₂²	—	4	1	no	—
1420	C₂²	—	4	1	no	—
1421	C₂²	—	4	1	no	—
1422	C₂²	—	292	1	no	—
1423	C₂²	—	292	1	no	—
1424	C₂²	—	292	1	no	—
1425	C₂²	—	292	1	no	—
1426	C₂²	—	146	2	no	—
1427	C₂²	—	146	2	no	—
1428	C₂²	—	146	2	no	—
1429	C₂²	#17989059	1	4	yes	—
1430	C₂²	C₂³×C₄×D₇₃	1	1	yes	characteristic
1431	C₂²	C₂×#14556636	1	1	yes	characteristic
1432	C₂²	C₂×#14556637	1	1	yes	characteristic
1433	C₂²	2₋¹⁺⁴×D₇₃	1	1	yes	characteristic
1434	C₂²	C₂×#14556638	1	1	yes	characteristic
1435	C₂²	#17989422	1	1	yes	characteristic
1436	C₂²	#17989423	1	1	yes	characteristic
1437	C₄	—	2	2	no	—
1438	C₄	—	2	2	no	—
1439	C₄	—	2	2	no	—
1440	C₄	—	2	2	no	—
1441	C₄	—	2	2	no	—
1442	C₄	—	2	2	no	—
1443	C₄	—	4	1	no	—
1444	C₄	—	4	1	no	—
1445	C₄	—	4	1	no	—
1446	C₄	—	4	1	no	—
1447	C₄	—	4	1	no	—
1448	C₄	—	4	1	no	—
1449	C₄	—	4	1	no	—
1450	C₄	—	292	1	no	—
1451	C₄	—	292	1	no	—
1452	C₄	—	292	1	no	—
1453	C₄	—	292	1	no	—
1454	C₄	—	292	1	no	—
1455	C₄	—	292	1	no	—
1456	C₄	—	292	1	no	—
1457	C₄	—	146	2	no	—
1458	C₄	—	146	2	no	—
1459	C₄	—	146	2	no	—
1460	C₄	—	146	2	no	—
1461	C₄	—	146	2	no	—
1462	C₄	—	146	2	no	—
1463	C₄	—	146	2	no	—
1464	C₄	—	146	2	no	—
1465	C₂	—	2	4	no	—
1466	C₂	—	4	2	no	—
1467	C₂	—	292	2	no	—
1468	C₂	C₂×#17989059	1	1	yes	characteristic
1469	C₂	C₄×#14556638	1	1	yes	characteristic
1470	C₂	#22623142	1	1	yes	characteristic
1471	C₂	#22624128	1	1	yes	characteristic
1472	C₂	#22624132	1	1	yes	characteristic
1473	C₂	#22624273	1	1	yes	characteristic
1474	C₂	#22624287	1	1	yes	characteristic

	subgroup	G/H
center, Frattini	C₂³	C₂⁴×D₇₃
commutator	C₂²×C₇₃	C₂⁴×C₄
Fitting	C₇₃×#2359	C₂
socle, cosocle	C₂³×C₇₃	C₂⁵
prime radical	C₂²×#11924027	C₂²
hypercenter	#2359	D₇₃
hypocenter	C₇₃	#34409
LCS	G ▷ C₂²×C₇₃ ▷ C₇₃
UCS	C₁ ◁ C₂³ ◁ #2359

Complements

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

N	H ≅ G/N	type
2. #22613109	C₂	semidirect
3. #22613100	C₂	semidirect
4. #22613093	C₂	semidirect
5. #22613091	C₂	semidirect
6. #22613039	C₂	semidirect
7. #22613018	C₂	semidirect
8. #22613012	C₂	semidirect
9. #22613008	C₂	semidirect
10. #22612927	C₂	semidirect
11. #22612923	C₂	semidirect
12. #22612919	C₂	semidirect
13. #22612789	C₂	semidirect
14. #22612785	C₂	semidirect
17. #22612745	C₂	semidirect
18. #22612742	C₂	semidirect
19. #22612682	C₂	semidirect
20. #22612681	C₂	semidirect
21. #22612678	C₂	semidirect
22. #22612676	C₂	semidirect
23. #22612659	C₂	semidirect
24. #22612658	C₂	semidirect
25. #22612605	C₂	semidirect
26. #22612602	C₂	semidirect
27. #22612515	C₂	semidirect
28. #22612450	C₂	semidirect
29. C₄×#14556572	C₂	semidirect
30. C₂×#17988491	C₂	semidirect
31. C₇₃×#2359	C₂	semidirect
34. #17989159	C₄	semidirect
193. C₂²×Dic₁₄₆	C₂×C₄	semidirect
210. #14556590	C₂×C₄	semidirect
211. #14556590	C₂×C₄	semidirect
212. #14556577	C₂×C₄	semidirect
213. #14556577	C₂×C₄	semidirect
214. #14556575	C₂×C₄	semidirect
215. #14556574	C₂×C₄	semidirect
216. #14556572	C₂×C₄	semidirect
217. #14556569	C₂×C₄	semidirect
218. #14556569	C₂×C₄	semidirect
219. #14556568	C₂×C₄	semidirect
220. #14556568	C₂×C₄	semidirect
225. #14556547	C₂×C₄	semidirect
337. #123×C₇₃	C₂×C₄	semidirect
750. #2359	D₇₃	semidirect
769. C₇₃	#34409	semidirect
960. #123	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×#17989159	2
#22613109	2
#22613100	2
#22613093	2
#22613091	2
#22613039	2
#22613018	2
#22613012	2
#22613008	2
#22612927	2
#22612923	2
#22612919	2
#22612789	2
#22612785	2
#22612757	2
#22612756	2
#22612745	2
#22612742	2
#22612682	2
#22612681	2
#22612678	2
#22612676	2
#22612659	2
#22612658	2
#22612605	2
#22612602	2
#22612515	2
#22612450	2
C₄×#14556572	2
C₂×#17988491	2
C₇₃×#2359	2
#34409	73