Subgroups — #33293155

Order 18688.

2034 conjugacy classes of subgroups.

The subgroup lattice has 1574 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#22618217	C₂	1	1	yes	maximal, characteristic, complemented
2	#22618210	C₂	1	1	yes	maximal, characteristic
3	#22617134	C₂	1	1	yes	maximal, characteristic, complemented
4	#22617130	C₂	1	1	yes	maximal, characteristic, complemented
5	#22617062	C₂	1	1	yes	maximal, characteristic, complemented
6	#22617058	C₂	1	1	yes	maximal, characteristic, complemented
7	#22617049	C₂	1	1	yes	maximal, characteristic, complemented
8	#22617045	C₂	1	1	yes	maximal, characteristic, complemented
9	#22616768	C₂	1	1	yes	maximal, characteristic, complemented
10	#22616766	C₂	1	1	yes	maximal, characteristic, complemented
11	#22616564	C₂	1	1	yes	maximal, characteristic, complemented
12	#22616552	C₂	1	1	yes	maximal, characteristic, complemented
13	#22616433	C₂	1	1	yes	maximal, characteristic, complemented
14	#22616421	C₂	1	1	yes	maximal, characteristic, complemented
15	#22616411	C₂	1	1	yes	maximal, characteristic, complemented
16	#22616407	C₂	1	1	yes	maximal, characteristic, complemented
17	#22616176	C₂	1	1	yes	maximal, characteristic, complemented
18	#22616044	C₂	1	1	yes	maximal, characteristic, complemented
19	#22615862	C₂	1	1	yes	maximal, characteristic, complemented
20	#22614198	C₂	1	1	yes	maximal, characteristic, complemented
21	#22614193	C₂	1	1	yes	maximal, characteristic, complemented
22	#22614053	C₂	1	1	yes	maximal, characteristic, complemented
23	#22614052	C₂	1	1	yes	maximal, characteristic, complemented
24	#22613743	C₂	1	1	yes	maximal, characteristic, complemented
25	#22613737	C₂	1	1	yes	maximal, characteristic, complemented
26	#22613390	C₂	1	1	yes	maximal, characteristic, complemented
27	#22613386	C₂	1	1	yes	maximal, characteristic, complemented
28	#22612665	C₂	1	1	yes	maximal, characteristic, complemented
29	#22612633	C₂	1	1	yes	maximal, characteristic, complemented
30	#380×D₇₃	C₂	1	1	yes	maximal, characteristic, complemented
31	C₇₃×#2672	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂³×C₄×D₇₃	C₂²	1	1	yes	characteristic
33	C₂×#14556584	C₂²	1	1	yes	characteristic, complemented
34	C₂×#14556584	C₂²	1	1	yes	characteristic, complemented
35	C₂×#14556578	C₂²	1	1	yes	characteristic
36	C₂×#14556572	C₂²	1	1	yes	characteristic
37	C₂×#14556569	C₂²	1	1	yes	characteristic
38	C₂×#14556569	C₂²	1	1	yes	characteristic
39	C₂×#14556569	C₂²	1	1	yes	characteristic
40	C₂×#14556568	C₂²	1	1	yes	characteristic
41	C₂×#14556568	C₂²	1	1	yes	characteristic, complemented
42	C₂×#14556567	C₂²	1	1	yes	characteristic
43	C₂×#14556562	C₂²	1	1	yes	characteristic
44	C₂×#14556562	C₂²	1	1	yes	characteristic
45	C₂×#14556559	C₂²	1	1	yes	characteristic
46	C₂×#14556559	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×C₄⋊C₄×D₇₃	C₂²	1	1	yes	characteristic
50	C₂×C₄⋊C₄×D₇₃	C₂²	1	1	yes	characteristic
51	C₂×C₂²⋊C₄×D₇₃	C₂²	1	1	yes	characteristic
52	C₂×C₂²⋊C₄×D₇₃	C₂²	1	1	yes	characteristic
53	#17988529	C₂²	1	1	yes	characteristic, complemented
54	#17988529	C₂²	1	1	yes	characteristic, complemented
55	#17988528	C₂²	1	1	yes	characteristic, complemented
56	#17988527	C₂²	1	1	yes	characteristic, complemented
57	#17988526	C₂²	1	1	yes	characteristic, complemented
58	#17988526	C₂²	1	1	yes	characteristic, complemented
59	#17988523	C₂²	1	1	yes	characteristic, complemented
60	#17988522	C₂²	1	1	yes	characteristic
61	#17988522	C₂²	1	1	yes	characteristic
62	#17988521	C₂²	1	1	yes	characteristic, complemented
63	#17988521	C₂²	1	1	yes	characteristic, complemented
64	#17988519	C₂²	1	1	yes	characteristic, complemented
65	#17988518	C₂²	1	1	yes	characteristic, complemented
66	#17988517	C₂²	1	1	yes	characteristic, complemented
67	#17988517	C₂²	1	1	yes	characteristic, complemented
68	#17988515	C₂²	1	1	yes	characteristic
69	#17988515	C₂²	1	1	yes	characteristic
70	#17988515	C₂²	1	1	yes	characteristic
71	#17988515	C₂²	1	1	yes	characteristic
72	#17988515	C₂²	1	1	yes	characteristic, complemented
73	#17988515	C₂²	1	1	yes	characteristic, complemented
74	#17988515	C₂²	1	1	yes	characteristic, complemented
75	#17988515	C₂²	1	1	yes	characteristic, complemented
76	#17988510	C₂²	1	1	yes	characteristic, complemented
77	#17988510	C₂²	1	1	yes	characteristic, complemented
78	#17988510	C₂²	1	1	yes	characteristic, complemented
79	#17988507	C₂²	1	1	yes	characteristic, complemented
80	#17988507	C₂²	1	1	yes	characteristic, complemented
81	#17988507	C₂²	1	1	yes	characteristic, complemented
82	#17988506	C₂²	1	1	yes	characteristic, complemented
83	#17988506	C₂²	1	1	yes	characteristic, complemented
84	#17988503	C₂²	1	1	yes	characteristic
85	#17988503	C₂²	1	1	yes	characteristic
86	#17988502	C₂²	1	1	yes	characteristic
87	#17988502	C₂²	1	1	yes	characteristic
88	#17988501	C₂²	1	1	yes	characteristic
89	#17988501	C₂²	1	1	yes	characteristic
90	#17988501	C₂²	1	1	yes	characteristic, complemented
91	#17988500	C₂²	1	1	yes	characteristic
92	#17988499	C₂²	1	1	yes	characteristic, complemented
93	#17988499	C₂²	1	1	yes	characteristic, complemented
94	#17988498	C₂²	1	1	yes	characteristic
95	#17988492	C₂²	1	1	yes	characteristic, complemented
96	#17988491	C₂²	1	1	yes	characteristic, complemented
97	#17988487	C₂²	1	1	yes	characteristic
98	#17988487	C₂²	1	1	yes	characteristic
99	#17988483	C₂²	1	1	yes	characteristic, complemented
100	#17988482	C₂²	1	1	yes	characteristic, complemented
101	#17988482	C₂²	1	1	yes	characteristic, complemented
102	#17988481	C₂²	1	1	yes	characteristic
103	#17988481	C₂²	1	1	yes	characteristic, complemented
104	#17988480	C₂²	1	1	yes	characteristic
105	#17988480	C₂²	1	1	yes	characteristic
106	#17988480	C₂²	1	1	yes	characteristic, complemented
107	#17988478	C₂²	1	1	yes	characteristic
108	#17988477	C₂²	1	1	yes	characteristic
109	#17988477	C₂²	1	1	yes	characteristic
110	#17988476	C₂²	1	1	yes	characteristic
111	#17988475	C₂²	1	1	yes	characteristic
112	#17988475	C₂²	1	1	yes	characteristic, complemented
113	#17988474	C₂²	1	1	yes	characteristic, complemented
114	#17988473	C₂²	1	1	yes	characteristic, complemented
115	#17988473	C₂²	1	1	yes	characteristic, complemented
116	#17988473	C₂²	1	1	yes	characteristic, complemented
117	#17988472	C₂²	1	1	yes	characteristic, complemented
118	#17988472	C₂²	1	1	yes	characteristic, complemented
119	#17988471	C₂²	1	1	yes	characteristic, complemented
120	#17988471	C₂²	1	1	yes	characteristic, complemented
121	#17988470	C₂²	1	1	yes	characteristic, complemented
122	#17988468	C₂²	1	1	yes	characteristic, complemented
123	#17988468	C₂²	1	1	yes	characteristic, complemented
124	#17988468	C₂²	1	1	yes	characteristic, complemented
125	#17988467	C₂²	1	1	yes	characteristic
126	#17988467	C₂²	1	1	yes	characteristic
127	#17988467	C₂²	1	1	yes	characteristic, complemented
128	#17988466	C₂²	1	1	yes	characteristic
129	#17988464	C₂²	1	1	yes	characteristic
130	#17988463	C₂²	1	1	yes	characteristic
131	#17988463	C₂²	1	1	yes	characteristic
132	#17988463	C₂²	1	1	yes	characteristic
133	#17988463	C₂²	1	1	yes	characteristic
134	#17988463	C₂²	1	1	yes	characteristic
135	#17988463	C₂²	1	1	yes	characteristic
136	#17988463	C₂²	1	1	yes	characteristic
137	#17988463	C₂²	1	1	yes	characteristic
138	#17988463	C₂²	1	1	yes	characteristic
139	#17988463	C₂²	1	1	yes	characteristic
140	#17988461	C₂²	1	1	yes	characteristic
141	#17988461	C₂²	1	1	yes	characteristic
142	#17988460	C₂²	1	1	yes	characteristic
143	#17988460	C₂²	1	1	yes	characteristic, complemented
144	#17988460	C₂²	1	1	yes	characteristic, complemented
145	#17988459	C₂²	1	1	yes	characteristic, complemented
146	#17988459	C₂²	1	1	yes	characteristic, complemented
147	#17988458	C₂²	1	1	yes	characteristic
148	#17988458	C₂²	1	1	yes	characteristic
149	#17988458	C₂²	1	1	yes	characteristic
150	#17988458	C₂²	1	1	yes	characteristic
151	#17988447	C₂²	1	1	yes	characteristic
152	#17988447	C₂²	1	1	yes	characteristic
153	#17988446	C₂²	1	1	yes	characteristic
154	#17988446	C₂²	1	1	yes	characteristic
155	#17988446	C₂²	1	1	yes	characteristic
156	#17988446	C₂²	1	1	yes	characteristic
157	#17988446	C₂²	1	1	yes	characteristic
158	#17988445	C₂²	1	1	yes	characteristic
159	#17988445	C₂²	1	1	yes	characteristic
160	#17988445	C₂²	1	1	yes	characteristic
161	#17988444	C₂²	1	1	yes	characteristic
162	#17988444	C₂²	1	1	yes	characteristic
163	#17988444	C₂²	1	1	yes	characteristic
164	#17988444	C₂²	1	1	yes	characteristic
165	#17988444	C₂²	1	1	yes	characteristic
166	#17988442	C₂²	1	1	yes	characteristic
167	#17988442	C₂²	1	1	yes	characteristic
168	C₄×#11924005	C₂²	1	1	yes	characteristic
169	#17988434	C₂²	1	1	yes	characteristic
170	#95×D₇₃	C₂²	1	1	yes	characteristic
171	#95×D₇₃	C₂²	1	1	yes	characteristic
172	C₂×#124×C₇₃	C₂²	1	1	yes	characteristic
173	C₂×#123×C₇₃	C₂²	1	1	yes	characteristic
174	C₂×C₂²⋊Q₈×C₇₃	C₂²	1	1	yes	characteristic, complemented
175	C₂×#121×C₇₃	C₂²	1	1	yes	characteristic
176	#399×C₇₃	C₂²	1	1	yes	characteristic, complemented
177	#396×C₇₃	C₂²	1	1	yes	characteristic, complemented
178	#395×C₇₃	C₂²	1	1	yes	characteristic, complemented
179	#394×C₇₃	C₂²	1	1	yes	characteristic
180	#394×C₇₃	C₂²	1	1	yes	characteristic
181	#394×C₇₃	C₂²	1	1	yes	characteristic, complemented
182	#389×C₇₃	C₂²	1	1	yes	characteristic, complemented
183	#388×C₇₃	C₂²	1	1	yes	characteristic, complemented
184	#386×C₇₃	C₂²	1	1	yes	characteristic, complemented
185	#385×C₇₃	C₂²	1	1	yes	characteristic
186	#380×C₇₃	C₂²	1	1	yes	characteristic
187	C₂⁴×D₇₃	C₂³	1	1	yes	characteristic
188	C₂²×Dic₁₄₆	C₂³	1	1	yes	characteristic
189	C₂²×Dic₁₄₆	C₂³	1	1	yes	characteristic
190	C₂²×C₂²⋊D₇₃	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×C₂²⋊D₇₃	C₂³	1	1	yes	characteristic
194	C₂³×Dic₇₃	C₂³	1	1	yes	characteristic
195	C₂³×Dic₇₃	C₂³	1	1	yes	characteristic
196	C₂²×C₄×D₇₃	—	2	4	no	—
197	C₂²×C₄×D₇₃	—	4	2	no	—
198	C₂²×C₄×D₇₃	—	4	2	no	—
199	C₂²×C₄×D₇₃	C₂³	1	1	yes	characteristic
200	C₂²×C₄×D₇₃	C₂³	1	1	yes	characteristic
201	C₂²×C₄×D₇₃	C₂³	1	1	yes	characteristic
202	C₂²×C₄×D₇₃	C₂³	1	1	yes	characteristic
203	C₂²×C₄×D₇₃	C₂³	1	1	yes	characteristic
204	C₂²×C₄×D₇₃	C₂³	1	1	yes	characteristic
205	C₂²×C₄×D₇₃	C₂³	1	1	yes	characteristic
206	C₂²×C₄×D₇₃	C₂³	1	1	yes	characteristic
207	#14556584	—	4	2	no	—
208	#14556584	—	4	2	no	—
209	#14556578	—	4	2	no	—
210	#14556572	—	4	2	no	—
211	#14556569	—	2	4	no	—
212	#14556569	—	4	2	no	—
213	#14556569	—	4	2	no	—
214	#14556568	—	4	2	no	—
215	#14556568	—	4	2	no	—
216	#14556567	—	4	2	no	—
217	#14556562	—	2	4	no	—
218	#14556562	—	4	2	no	—
219	#14556559	—	4	2	no	—
220	#14556559	—	4	2	no	—
221	C₄×C₂²⋊D₇₃	—	4	2	no	—
222	#14556551	—	4	2	no	—
223	C₂×C₄⋊Dic₇₃	C₂³	1	1	yes	characteristic
224	C₂×C₄⋊Dic₇₃	C₂³	1	1	yes	characteristic
225	C₂×C₄⋊Dic₇₃	C₂³	1	1	yes	characteristic
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×#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×#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	C₄⋊C₄×D₇₃	—	4	2	no	—
251	C₄⋊C₄×D₇₃	—	4	2	no	—
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×C₂²⋊Dic₇₃	C₂³	1	1	yes	characteristic
259	C₂×C₂²⋊Dic₇₃	C₂³	1	1	yes	characteristic
260	C₂×C₂²⋊Dic₇₃	C₂³	1	1	yes	characteristic
261	C₂×C₂²⋊Dic₇₃	C₂³	1	1	yes	characteristic
262	C₂×C₂²⋊Dic₇₃	C₂³	1	1	yes	characteristic
263	C₂×C₂²⋊Dic₇₃	C₂³	1	1	yes	characteristic
264	C₂×C₂²⋊Dic₇₃	C₂³	1	1	yes	characteristic
265	C₂×C₂²⋊Dic₇₃	C₂³	1	1	yes	characteristic
266	C₂×C₂²⋊Dic₇₃	C₂³	1	1	yes	characteristic
267	C₂×C₂²⋊Dic₇₃	C₂³	1	1	yes	characteristic
268	C₂×C₂²⋊Dic₇₃	C₂³	1	1	yes	characteristic
269	C₂×#11924005	C₂³	1	1	yes	characteristic
270	C₂×#11924005	C₂³	1	1	yes	characteristic
271	C₂×#11924005	C₂³	1	1	yes	characteristic
272	C₂×#11924005	C₂³	1	1	yes	characteristic
273	C₂×#11924005	C₂³	1	1	yes	characteristic
274	C₂×#11924005	C₂³	1	1	yes	characteristic
275	C₂×#11924005	C₂³	1	1	yes	characteristic
276	C₂×#11924005	C₂³	1	1	yes	characteristic
277	C₂×#11924005	C₂³	1	1	yes	characteristic
278	C₂×#11924005	C₂³	1	1	yes	characteristic
279	C₂×#11924005	C₂³	1	1	yes	characteristic
280	C₂×#11924005	C₂³	1	1	yes	characteristic
281	C₂×#11924005	C₂³	1	1	yes	characteristic
282	C₂×#11924005	C₂³	1	1	yes	characteristic
283	C₂×#11924005	C₂³	1	1	yes	characteristic
284	C₂×#11924005	C₂³	1	1	yes	characteristic
285	C₂²⋊C₄×D₇₃	—	4	2	no	—
286	C₂²⋊C₄×D₇₃	—	4	2	no	—
287	C₂×C₄×Dic₇₃	C₂³	1	1	yes	characteristic
288	C₂×C₄×Dic₇₃	C₂³	1	1	yes	characteristic
289	C₂×C₄×Dic₇₃	C₂³	1	1	yes	characteristic
290	C₂×C₄×Dic₇₃	C₂³	1	1	yes	characteristic
291	C₂×C₄×Dic₇₃	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	C₂²×Q₈×C₇₃	C₂³	1	1	yes	characteristic
331	C₂²×D₄×C₇₃	C₂³	1	1	yes	characteristic
332	C₂²×D₄×C₇₃	C₂³	1	1	yes	characteristic
333	C₂²×D₄×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	#124×C₇₃	—	4	2	no	—
337	#123×C₇₃	—	4	2	no	—
338	C₂²⋊Q₈×C₇₃	—	4	2	no	—
339	#121×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×C₄⋊C₄×C₇₃	C₂³	1	1	yes	characteristic
348	C₂×C₄⋊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×C₂²⋊C₄×C₇₃	C₂³	1	1	yes	characteristic
356	C₂×C₂²⋊C₄×C₇₃	C₂³	1	1	yes	characteristic
357	C₂×C₂²⋊C₄×C₇₃	C₂³	1	1	yes	characteristic
358	C₂×C₂²⋊C₄×C₇₃	C₂³	1	1	yes	characteristic
359	C₂×C₂²⋊C₄×C₇₃	C₂³	1	1	yes	characteristic
360	C₂×C₂²⋊C₄×C₇₃	C₂³	1	1	yes	characteristic
361	C₂×C₂²⋊C₄×C₇₃	C₂³	1	1	yes	characteristic
362	C₂×C₄²×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	C₂³×D₇₃	—	2	2	no	—
370	C₂³×D₇₃	—	2	2	no	—
371	C₂³×D₇₃	—	2	2	no	—
372	C₂³×D₇₃	—	2	2	no	—
373	C₂³×D₇₃	—	2	2	no	—
374	C₂³×D₇₃	—	4	1	no	—
375	C₂³×D₇₃	—	4	1	no	—
376	C₂³×D₇₃	C₂⁴	1	1	yes	characteristic
377	C₂³×D₇₃	C₂⁴	1	1	yes	characteristic
378	C₂×Dic₁₄₆	—	2	2	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	—	4	1	no	—
384	C₂×C₂²⋊D₇₃	—	2	2	no	—
385	C₂×C₂²⋊D₇₃	—	2	2	no	—
386	C₂×C₂²⋊D₇₃	—	2	2	no	—
387	C₂×C₂²⋊D₇₃	—	2	2	no	—
388	C₂×C₂²⋊D₇₃	—	2	2	no	—
389	C₂×C₂²⋊D₇₃	—	2	2	no	—
390	C₂×C₂²⋊D₇₃	—	2	2	no	—
391	C₂×C₂²⋊D₇₃	—	2	2	no	—
392	C₂×C₂²⋊D₇₃	—	4	1	no	—
393	C₂×C₂²⋊D₇₃	—	4	1	no	—
394	C₂×C₂²⋊D₇₃	—	4	1	no	—
395	C₂×C₂²⋊D₇₃	—	4	1	no	—
396	C₂²×Dic₇₃	—	2	2	no	—
397	C₂²×Dic₇₃	—	2	2	no	—
398	C₂²×Dic₇₃	—	4	1	no	—
399	C₂²×Dic₇₃	—	4	1	no	—
400	C₂²×Dic₇₃	—	4	1	no	—
401	C₂²×Dic₇₃	—	4	1	no	—
402	C₂²×Dic₇₃	C₂⁴	1	1	yes	characteristic
403	C₂²×Dic₇₃	C₂⁴	1	1	yes	characteristic
404	C₂²×Dic₇₃	C₂⁴	1	1	yes	characteristic
405	C₂²×Dic₇₃	C₂⁴	1	1	yes	characteristic
406	C₂²×Dic₇₃	C₂⁴	1	1	yes	characteristic
407	C₂²×Dic₇₃	C₂⁴	1	1	yes	characteristic
408	C₂²×Dic₇₃	C₂⁴	1	1	yes	characteristic
409	C₂²×Dic₇₃	C₂⁴	1	1	yes	characteristic
410	C₂²×Dic₇₃	C₂⁴	1	1	yes	characteristic
411	C₂²×Dic₇₃	C₂⁴	1	1	yes	characteristic
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	C₂×C₄×D₇₃	—	2	2	no	—
417	C₂×C₄×D₇₃	—	2	2	no	—
418	C₂×C₄×D₇₃	—	2	2	no	—
419	C₂×C₄×D₇₃	—	2	2	no	—
420	C₂×C₄×D₇₃	—	2	2	no	—
421	C₂×C₄×D₇₃	—	2	2	no	—
422	C₂×C₄×D₇₃	—	2	2	no	—
423	C₂×C₄×D₇₃	—	2	2	no	—
424	C₂×C₄×D₇₃	—	2	2	no	—
425	C₂×C₄×D₇₃	—	2	2	no	—
426	C₂×C₄×D₇₃	—	2	2	no	—
427	C₂×C₄×D₇₃	—	4	16	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	—	4	1	no	—
436	C₂×C₄×D₇₃	—	4	1	no	—
437	C₂×C₄×D₇₃	—	4	1	no	—
438	C₂×C₄×D₇₃	—	4	1	no	—
439	C₂×C₄×D₇₃	—	4	1	no	—
440	C₂×C₄×D₇₃	#41	1	4	yes	—
441	C₄⋊Dic₇₃	—	2	2	no	—
442	C₄⋊Dic₇₃	—	2	2	no	—
443	C₄⋊Dic₇₃	—	2	2	no	—
444	C₄⋊Dic₇₃	—	4	1	no	—
445	C₄⋊Dic₇₃	—	4	1	no	—
446	C₄⋊Dic₇₃	—	4	1	no	—
447	C₄⋊Dic₇₃	—	4	1	no	—
448	#11924007	—	2	2	no	—
449	#11924007	—	2	2	no	—
450	#11924007	—	2	2	no	—
451	#11924007	—	2	2	no	—
452	#11924007	—	2	2	no	—
453	#11924007	—	2	2	no	—
454	#11924007	—	4	1	no	—
455	#11924007	—	4	1	no	—
456	#11924007	—	4	1	no	—
457	#11924007	—	4	1	no	—
458	#11924007	—	4	1	no	—
459	#11924007	—	4	1	no	—
460	#11924007	—	4	1	no	—
461	#11924007	—	4	1	no	—
462	#11924007	—	4	1	no	—
463	#11924007	—	4	1	no	—
464	#11924007	—	4	1	no	—
465	#11924007	—	4	1	no	—
466	#11924007	—	4	1	no	—
467	#11924007	—	4	1	no	—
468	C₂²⋊Dic₇₃	—	2	2	no	—
469	C₂²⋊Dic₇₃	—	2	2	no	—
470	C₂²⋊Dic₇₃	—	2	2	no	—
471	C₂²⋊Dic₇₃	—	2	2	no	—
472	C₂²⋊Dic₇₃	—	2	2	no	—
473	C₂²⋊Dic₇₃	—	2	2	no	—
474	C₂²⋊Dic₇₃	—	2	2	no	—
475	C₂²⋊Dic₇₃	—	4	1	no	—
476	C₂²⋊Dic₇₃	—	4	1	no	—
477	C₂²⋊Dic₇₃	—	4	1	no	—
478	C₂²⋊Dic₇₃	—	4	1	no	—
479	C₂²⋊Dic₇₃	—	4	1	no	—
480	C₂²⋊Dic₇₃	—	4	1	no	—
481	C₂²⋊Dic₇₃	—	4	1	no	—
482	C₂²⋊Dic₇₃	—	4	1	no	—
483	C₂²⋊Dic₇₃	—	4	1	no	—
484	C₂²⋊Dic₇₃	—	4	1	no	—
485	#11924005	—	2	2	no	—
486	#11924005	—	2	2	no	—
487	#11924005	—	2	2	no	—
488	#11924005	—	2	2	no	—
489	#11924005	—	2	2	no	—
490	#11924005	—	2	2	no	—
491	#11924005	—	2	2	no	—
492	#11924005	—	2	2	no	—
493	#11924005	—	4	1	no	—
494	#11924005	—	4	1	no	—
495	#11924005	—	4	1	no	—
496	#11924005	—	4	1	no	—
497	#11924005	—	4	1	no	—
498	#11924005	—	4	1	no	—
499	#11924005	—	4	1	no	—
500	#11924005	—	4	1	no	—
501	C₄×Dic₇₃	—	4	1	no	—
502	C₄×Dic₇₃	—	4	1	no	—
503	C₄×Dic₇₃	—	4	1	no	—
504	C₄×Dic₇₃	—	4	1	no	—
505	C₄×Dic₇₃	—	4	1	no	—
506	C₂⁴×C₇₃	C₂⁴	1	1	yes	characteristic
507	C₂⁴×C₇₃	C₂⁴	1	1	yes	characteristic
508	C₂⁴×C₇₃	C₂⁴	1	1	yes	characteristic
509	C₂×Q₈×C₇₃	—	4	1	no	—
510	C₂×Q₈×C₇₃	—	4	1	no	—
511	C₂×Q₈×C₇₃	—	4	1	no	—
512	C₂×D₄×C₇₃	—	2	2	no	—
513	C₂×D₄×C₇₃	—	2	2	no	—
514	C₂×D₄×C₇₃	—	2	2	no	—
515	C₂×D₄×C₇₃	—	4	1	no	—
516	C₂×D₄×C₇₃	—	4	1	no	—
517	C₂×D₄×C₇₃	—	4	1	no	—
518	C₂×D₄×C₇₃	—	4	1	no	—
519	C₂×D₄×C₇₃	—	4	1	no	—
520	C₂×D₄×C₇₃	—	4	1	no	—
521	C₂²×C₄×C₇₃	—	2	2	no	—
522	C₂²×C₄×C₇₃	—	2	2	no	—
523	C₂²×C₄×C₇₃	—	4	1	no	—
524	C₂²×C₄×C₇₃	—	4	1	no	—
525	C₂²×C₄×C₇₃	—	4	1	no	—
526	C₂²×C₄×C₇₃	—	4	1	no	—
527	C₂²×C₄×C₇₃	C₂⁴	1	1	yes	characteristic
528	C₂²×C₄×C₇₃	C₂⁴	1	1	yes	characteristic
529	C₂²×C₄×C₇₃	C₂⁴	1	1	yes	characteristic
530	C₂²×C₄×C₇₃	C₂⁴	1	1	yes	characteristic
531	C₂²×C₄×C₇₃	C₂⁴	1	1	yes	characteristic
532	C₂²×C₄×C₇₃	C₂⁴	1	1	yes	characteristic
533	C₂²×C₄×C₇₃	C₂⁴	1	1	yes	characteristic
534	C₂²×C₄×C₇₃	C₂⁴	1	1	yes	characteristic
535	C₂²×C₄×C₇₃	C₂⁴	1	1	yes	characteristic
536	C₂²×C₄×C₇₃	C₂⁴	1	1	yes	characteristic
537	C₂²×C₄×C₇₃	C₂⁴	1	1	yes	characteristic
538	C₂²×C₄×C₇₃	C₂⁴	1	1	yes	characteristic
539	C₄⋊C₄×C₇₃	—	2	2	no	—
540	C₄⋊C₄×C₇₃	—	2	2	no	—
541	C₄⋊C₄×C₇₃	—	2	2	no	—
542	C₄⋊C₄×C₇₃	—	4	1	no	—
543	C₄⋊C₄×C₇₃	—	4	1	no	—
544	C₄⋊C₄×C₇₃	—	4	1	no	—
545	C₄⋊C₄×C₇₃	—	4	1	no	—
546	C₄⋊C₄×C₇₃	—	4	1	no	—
547	C₄⋊C₄×C₇₃	—	4	1	no	—
548	C₂²⋊C₄×C₇₃	—	2	2	no	—
549	C₂²⋊C₄×C₇₃	—	2	2	no	—
550	C₂²⋊C₄×C₇₃	—	2	2	no	—
551	C₂²⋊C₄×C₇₃	—	2	2	no	—
552	C₂²⋊C₄×C₇₃	—	2	2	no	—
553	C₂²⋊C₄×C₇₃	—	4	1	no	—
554	C₂²⋊C₄×C₇₃	—	4	1	no	—
555	C₂²⋊C₄×C₇₃	—	4	1	no	—
556	C₂²⋊C₄×C₇₃	—	4	1	no	—
557	C₂²⋊C₄×C₇₃	—	4	1	no	—
558	C₂²⋊C₄×C₇₃	—	4	1	no	—
559	C₂²⋊C₄×C₇₃	—	4	1	no	—
560	C₂²⋊C₄×C₇₃	—	4	1	no	—
561	C₄²×C₇₃	—	4	1	no	—
562	C₂³×C₇₃	—	2	1	no	—
563	C₂³×C₇₃	—	2	1	no	—
564	C₂³×C₇₃	—	2	1	no	—
565	C₂³×C₇₃	—	2	1	no	—
566	C₂³×C₇₃	—	2	1	no	—
567	C₂³×C₇₃	—	2	1	no	—
568	C₂³×C₇₃	—	2	1	no	—
569	C₂³×C₇₃	—	2	1	no	—
570	C₂³×C₇₃	—	2	1	no	—
571	C₂³×C₇₃	—	2	1	no	—
572	C₂³×C₇₃	—	2	1	no	—
573	C₂³×C₇₃	—	2	1	no	—
574	C₂³×C₇₃	—	2	1	no	—
575	C₂³×C₇₃	—	2	1	no	—
576	C₂³×C₇₃	—	2	1	no	—
577	C₂³×C₇₃	—	2	1	no	—
578	C₂³×C₇₃	—	2	1	no	—
579	C₂³×C₇₃	—	2	1	no	—
580	C₂³×C₇₃	—	2	1	no	—
581	C₂³×C₇₃	—	2	1	no	—
582	C₂³×C₇₃	H(5,𝔽₂)	1	2	yes	—
583	C₂³×C₇₃	C₂⁵	1	1	yes	characteristic
584	C₂²×D₇₃	—	2	1	no	—
585	C₂²×D₇₃	—	2	1	no	—
586	C₂²×D₇₃	—	2	1	no	—
587	C₂²×D₇₃	—	2	1	no	—
588	C₂²×D₇₃	—	2	8	no	—
589	C₂²×D₇₃	—	2	1	no	—
590	C₂²×D₇₃	—	2	1	no	—
591	C₂²×D₇₃	—	2	1	no	—
592	C₂²×D₇₃	—	2	1	no	—
593	C₂²×D₇₃	—	2	1	no	—
594	C₂²×D₇₃	—	2	1	no	—
595	C₂²×D₇₃	—	4	4	no	—
596	C₂²×D₇₃	—	4	4	no	—
597	C₂²×D₇₃	—	4	4	no	—
598	C₂²×D₇₃	—	4	4	no	—
599	C₂²×D₇₃	—	4	4	no	—
600	C₂²×D₇₃	—	4	4	no	—
601	C₂²×D₇₃	C₂×#41	1	2	yes	—
602	C₂²×D₇₃	H(5,𝔽₂)	1	2	yes	—
603	C₂²×D₇₃	2₋¹⁺⁴	1	2	yes	—
604	C₂²×D₇₃	2₋¹⁺⁴	1	2	yes	—
605	Q₈×C₇₃	—	8	2	no	—
606	D₄×C₇₃	—	8	2	no	—
607	D₄×C₇₃	—	8	2	no	—
608	D₄×C₇₃	—	8	2	no	—
609	C₂×C₄×C₇₃	—	2	1	no	—
610	C₂×C₄×C₇₃	—	2	1	no	—
611	C₂×C₄×C₇₃	—	2	1	no	—
612	C₂×C₄×C₇₃	—	2	1	no	—
613	C₂×C₄×C₇₃	—	2	1	no	—
614	C₂×C₄×C₇₃	—	2	1	no	—
615	C₂×C₄×C₇₃	—	2	1	no	—
616	C₂×C₄×C₇₃	—	2	1	no	—
617	C₂×C₄×C₇₃	—	2	1	no	—
618	C₂×C₄×C₇₃	—	2	1	no	—
619	C₂×C₄×C₇₃	—	2	1	no	—
620	C₂×C₄×C₇₃	—	2	1	no	—
621	C₂×C₄×C₇₃	—	2	1	no	—
622	C₂×C₄×C₇₃	—	2	1	no	—
623	C₂×C₄×C₇₃	—	2	1	no	—
624	C₂×C₄×C₇₃	—	2	1	no	—
625	C₂×C₄×C₇₃	—	2	1	no	—
626	C₂×C₄×C₇₃	—	2	1	no	—
627	C₂×C₄×C₇₃	—	2	1	no	—
628	C₂×C₄×C₇₃	—	2	1	no	—
629	C₂×C₄×C₇₃	—	2	1	no	—
630	C₂×C₄×C₇₃	—	2	1	no	—
631	C₂×C₄×C₇₃	—	2	1	no	—
632	C₂×C₄×C₇₃	—	2	1	no	—
633	C₂×C₄×C₇₃	—	2	1	no	—
634	C₂×C₄×C₇₃	—	2	1	no	—
635	C₂×C₄×C₇₃	—	2	1	no	—
636	C₂×C₄×C₇₃	—	2	1	no	—
637	C₂×C₄×C₇₃	—	2	1	no	—
638	C₂×C₄×C₇₃	—	2	1	no	—
639	C₂×C₄×C₇₃	—	2	1	no	—
640	C₂×C₄×C₇₃	—	2	1	no	—
641	C₂×C₄×C₇₃	—	2	1	no	—
642	C₂×C₄×C₇₃	—	2	1	no	—
643	C₂×C₄×C₇₃	—	4	4	no	—
644	C₂×C₄×C₇₃	—	8	2	no	—
645	C₂×C₄×C₇₃	C₂×#41	1	2	yes	—
646	C₂×C₄×C₇₃	H(5,𝔽₂)	1	2	yes	—
647	C₂²⋊D₇₃	—	4	4	no	—
648	C₂²⋊D₇₃	—	4	4	no	—
649	C₂²⋊D₇₃	—	8	2	no	—
650	C₂²⋊D₇₃	—	8	2	no	—
651	C₂×Dic₇₃	—	2	1	no	—
652	C₂×Dic₇₃	—	2	1	no	—
653	C₂×Dic₇₃	—	2	1	no	—
654	C₂×Dic₇₃	—	2	1	no	—
655	C₂×Dic₇₃	—	2	1	no	—
656	C₂×Dic₇₃	—	2	1	no	—
657	C₂×Dic₇₃	—	2	1	no	—
658	C₂×Dic₇₃	—	2	1	no	—
659	C₂×Dic₇₃	—	2	1	no	—
660	C₂×Dic₇₃	—	2	1	no	—
661	C₂×Dic₇₃	—	2	1	no	—
662	C₂×Dic₇₃	—	2	1	no	—
663	C₂×Dic₇₃	—	2	1	no	—
664	C₂×Dic₇₃	—	2	1	no	—
665	C₂×Dic₇₃	—	2	1	no	—
666	C₂×Dic₇₃	—	2	1	no	—
667	C₂×Dic₇₃	—	2	1	no	—
668	C₂×Dic₇₃	—	2	1	no	—
669	C₂×Dic₇₃	—	2	1	no	—
670	C₂×Dic₇₃	—	2	1	no	—
671	C₂×Dic₇₃	—	2	1	no	—
672	C₂×Dic₇₃	—	2	1	no	—
673	C₂×Dic₇₃	—	2	1	no	—
674	C₂×Dic₇₃	—	2	1	no	—
675	C₂×Dic₇₃	—	2	1	no	—
676	C₂×Dic₇₃	—	2	1	no	—
677	C₂×Dic₇₃	—	2	1	no	—
678	C₂×Dic₇₃	—	2	1	no	—
679	C₂×Dic₇₃	—	2	1	no	—
680	C₂×Dic₇₃	—	2	1	no	—
681	C₂×Dic₇₃	—	2	1	no	—
682	C₂×Dic₇₃	—	2	1	no	—
683	C₂×Dic₇₃	—	2	1	no	—
684	C₂×Dic₇₃	—	2	1	no	—
685	C₂×Dic₇₃	—	2	1	no	—
686	C₂×Dic₇₃	—	2	1	no	—
687	C₂×Dic₇₃	—	2	1	no	—
688	C₂×Dic₇₃	—	2	1	no	—
689	C₂×Dic₇₃	—	2	1	no	—
690	C₂×Dic₇₃	—	2	1	no	—
691	C₂×Dic₇₃	—	4	4	no	—
692	C₂×Dic₇₃	—	8	2	no	—
693	C₂×Dic₇₃	C₂×#41	1	2	yes	—
694	C₂×Dic₇₃	H(5,𝔽₂)	1	2	yes	—
695	C₄×D₇₃	—	2	8	no	—
696	C₄×D₇₃	—	4	4	no	—
697	C₄×D₇₃	—	4	4	no	—
698	C₄×D₇₃	—	4	4	no	—
699	C₄×D₇₃	—	8	2	no	—
700	C₄×D₇₃	—	8	2	no	—
701	C₄×D₇₃	—	8	2	no	—
702	C₄×D₇₃	—	8	2	no	—
703	Dic₁₄₆	—	8	2	no	—
704	Dic₁₄₆	—	8	2	no	—
705	C₂²×C₇₃	—	2	2	no	—
706	C₂²×C₇₃	—	2	2	no	—
707	C₂²×C₇₃	—	2	2	no	—
708	C₂²×C₇₃	—	4	1	no	—
709	C₂²×C₇₃	—	4	1	no	—
710	C₂²×C₇₃	—	4	1	no	—
711	C₂²×C₇₃	—	4	1	no	—
712	C₂²×C₇₃	—	4	1	no	—
713	C₂²×C₇₃	—	4	1	no	—
714	C₂²×C₇₃	—	4	1	no	—
715	C₂²×C₇₃	—	4	1	no	—
716	C₂²×C₇₃	—	4	1	no	—
717	C₂²×C₇₃	—	4	1	no	—
718	C₂²×C₇₃	—	4	1	no	—
719	C₂²×C₇₃	—	4	1	no	—
720	C₂²×C₇₃	—	4	1	no	—
721	C₂²×C₇₃	—	4	1	no	—
722	C₂²×C₇₃	—	4	1	no	—
723	C₂²×C₇₃	—	4	1	no	—
724	C₂²×C₇₃	—	4	1	no	—
725	C₂²×C₇₃	—	4	1	no	—
726	C₂²×C₇₃	C₂²×#41	1	1	yes	characteristic
727	C₂²×C₇₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
728	C₂²×C₇₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
729	C₂²×C₇₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
730	C₂²×C₇₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
731	C₂²×C₇₃	C₂×2₋¹⁺⁴	1	1	yes	characteristic
732	C₂²×C₇₃	C₂×2₋¹⁺⁴	1	1	yes	characteristic
733	C₂×D₇₃	—	2	2	no	—
734	C₂×D₇₃	—	2	2	no	—
735	C₂×D₇₃	—	2	2	no	—
736	C₂×D₇₃	—	2	2	no	—
737	C₂×D₇₃	—	2	2	no	—
738	C₂×D₇₃	—	2	2	no	—
739	C₂×D₇₃	—	2	2	no	—
740	C₂×D₇₃	—	2	2	no	—
741	C₂×D₇₃	—	2	2	no	—
742	C₂×D₇₃	—	4	16	no	—
743	C₂×D₇₃	—	4	1	no	—
744	C₂×D₇₃	—	4	1	no	—
745	C₂×D₇₃	—	4	1	no	—
746	C₂×D₇₃	—	4	1	no	—
747	C₂×D₇₃	#542	1	4	yes	—
748	C₄×C₇₃	—	2	2	no	—
749	C₄×C₇₃	—	2	2	no	—
750	C₄×C₇₃	—	4	1	no	—
751	C₄×C₇₃	—	4	1	no	—
752	C₄×C₇₃	—	4	1	no	—
753	C₄×C₇₃	—	4	1	no	—
754	C₄×C₇₃	—	4	1	no	—
755	C₄×C₇₃	—	4	1	no	—
756	C₄×C₇₃	—	4	1	no	—
757	C₄×C₇₃	—	4	1	no	—
758	C₄×C₇₃	—	4	1	no	—
759	C₄×C₇₃	—	4	1	no	—
760	Dic₇₃	—	2	2	no	—
761	Dic₇₃	—	2	2	no	—
762	Dic₇₃	—	4	1	no	—
763	Dic₇₃	—	4	1	no	—
764	Dic₇₃	—	4	1	no	—
765	Dic₇₃	—	4	1	no	—
766	Dic₇₃	—	4	1	no	—
767	Dic₇₃	—	4	1	no	—
768	Dic₇₃	—	4	1	no	—
769	Dic₇₃	—	4	1	no	—
770	Dic₇₃	—	4	1	no	—
771	Dic₇₃	—	4	1	no	—
772	Dic₇₃	—	4	1	no	—
773	Dic₇₃	—	4	1	no	—
774	#36729	—	73	1	no	maximal, Sylow
775	C₂×C₇₃	—	4	2	no	—
776	C₂×C₇₃	—	8	1	no	—
777	C₂×C₇₃	—	8	1	no	—
778	C₂×C₇₃	C₂×#542	1	1	yes	characteristic
779	C₂×C₇₃	#3490	1	1	yes	characteristic
780	C₂×C₇₃	#3492	1	1	yes	characteristic
781	C₂×C₇₃	#3536	1	1	yes	characteristic
782	C₂×C₇₃	#3536	1	1	yes	characteristic
783	C₂×C₇₃	#3537	1	1	yes	characteristic
784	C₂×C₇₃	#3538	1	1	yes	characteristic
785	D₇₃	—	2	4	no	—
786	D₇₃	—	4	2	no	—
787	#2848	—	73	1	no	—
788	#2847	—	73	1	no	—
789	#2747	—	73	1	no	—
790	#2747	—	73	1	no	—
791	#2742	—	73	1	no	—
792	#2742	—	73	1	no	—
793	#2741	—	73	1	no	—
794	#2741	—	73	1	no	—
795	#2717	—	73	1	no	—
796	#2717	—	73	1	no	—
797	#2702	—	73	1	no	—
798	#2702	—	73	1	no	—
799	#2692	—	73	1	no	—
800	#2692	—	73	1	no	—
801	#2691	—	73	1	no	—
802	#2691	—	73	1	no	—
803	#2672	—	73	1	no	—
804	#2672	D₇₃	1	1	yes	characteristic, complemented
805	#2659	—	73	1	no	—
806	#2639	—	73	1	no	—
807	#2481	—	73	1	no	—
808	#2481	—	73	1	no	—
809	#2472	—	73	1	no	—
810	#2472	—	73	1	no	—
811	#2449	—	73	1	no	—
812	#2449	—	73	1	no	—
813	#2418	—	73	1	no	—
814	#2418	—	73	1	no	—
815	#2329	—	73	1	no	—
816	#2325	—	73	1	no	—
817	C₂×#380	—	73	1	no	—
818	C₇₃	#36729	1	1	yes	characteristic, complemented, Sylow
819	C₂⁴×C₄	—	73	1	no	—
820	C₂×#126	—	73	1	no	—
821	C₂×#126	—	73	1	no	—
822	C₂×#124	—	73	1	no	—
823	C₂×#124	C₂×D₇₃	1	1	yes	characteristic
824	C₂×#123	—	73	1	no	—
825	C₂×#123	C₂×D₇₃	1	1	yes	characteristic
826	C₂×C₂²⋊Q₈	—	73	1	no	—
827	C₂×C₂²⋊Q₈	—	73	1	no	—
828	C₂×C₂²⋊Q₈	—	73	1	no	—
829	C₂×C₂²⋊Q₈	—	73	1	no	—
830	C₂×C₂²⋊Q₈	—	73	1	no	—
831	C₂×C₂²⋊Q₈	—	73	1	no	—
832	C₂×C₂²⋊Q₈	C₂×D₇₃	1	1	yes	characteristic, complemented
833	C₂×#121	—	73	1	no	—
834	C₂×#121	—	73	1	no	—
835	C₂×#121	C₂×D₇₃	1	1	yes	characteristic
836	C₂×#120	—	73	1	no	—
837	C₂×#120	—	73	1	no	—
838	C₂×C₄×D₄	—	73	1	no	—
839	C₂×C₄×D₄	—	73	1	no	—
840	C₂²×C₄⋊C₄	—	73	1	no	—
841	C₂²×C₄⋊C₄	—	73	1	no	—
842	C₂²×C₂²⋊C₄	—	73	1	no	—
843	C₂²×C₂²⋊C₄	—	73	1	no	—
844	#400	—	73	1	no	—
845	#400	—	73	1	no	—
846	#400	—	73	1	no	—
847	#400	—	73	1	no	—
848	#400	—	73	1	no	—
849	#400	—	73	1	no	—
850	#399	—	73	1	no	—
851	#399	—	73	1	no	—
852	#399	—	73	1	no	—
853	#399	C₂×D₇₃	1	1	yes	characteristic, complemented
854	#398	—	73	1	no	—
855	#398	—	73	1	no	—
856	#398	—	73	1	no	—
857	#398	—	73	1	no	—
858	#398	—	73	1	no	—
859	#398	—	73	1	no	—
860	#397	—	73	1	no	—
861	#397	—	73	1	no	—
862	#397	—	73	1	no	—
863	#397	—	73	1	no	—
864	#397	—	73	1	no	—
865	#397	—	73	1	no	—
866	#397	—	73	1	no	—
867	#397	—	73	1	no	—
868	#396	—	73	1	no	—
869	#396	—	73	1	no	—
870	#396	—	73	1	no	—
871	#396	C₂×D₇₃	1	1	yes	characteristic, complemented
872	#395	—	73	1	no	—
873	#395	—	73	1	no	—
874	#395	—	73	1	no	—
875	#395	—	73	1	no	—
876	#395	—	73	1	no	—
877	#395	C₂×D₇₃	1	1	yes	characteristic, complemented
878	#394	—	73	1	no	—
879	#394	—	73	1	no	—
880	#394	—	73	1	no	—
881	#394	—	73	1	no	—
882	#394	—	73	1	no	—
883	#394	—	73	1	no	—
884	#394	—	73	1	no	—
885	#394	C₂×D₇₃	1	1	yes	characteristic
886	#394	C₂×D₇₃	1	1	yes	characteristic
887	#394	C₂×D₇₃	1	1	yes	characteristic, complemented
888	#393	—	73	1	no	—
889	#393	—	73	1	no	—
890	#393	—	73	1	no	—
891	#393	—	73	1	no	—
892	#391	—	73	1	no	—
893	#391	—	73	1	no	—
894	#390	—	73	1	no	—
895	#390	—	73	1	no	—
896	#389	—	73	1	no	—
897	#389	—	73	1	no	—
898	#389	—	73	1	no	—
899	#389	C₂×D₇₃	1	1	yes	characteristic, complemented
900	#388	—	73	1	no	—
901	#388	—	73	1	no	—
902	#388	—	73	1	no	—
903	#388	—	73	1	no	—
904	#388	—	73	1	no	—
905	#388	—	73	1	no	—
906	#388	—	73	1	no	—
907	#388	—	73	1	no	—
908	#388	—	73	1	no	—
909	#388	—	73	1	no	—
910	#388	—	73	1	no	—
911	#388	C₂×D₇₃	1	1	yes	characteristic, complemented
912	#387	—	73	1	no	—
913	#387	—	73	1	no	—
914	#387	—	73	1	no	—
915	#387	—	73	1	no	—
916	#387	—	73	1	no	—
917	#387	—	73	1	no	—
918	#387	—	73	1	no	—
919	#387	—	73	1	no	—
920	#387	—	73	1	no	—
921	#387	—	73	1	no	—
922	#387	—	73	1	no	—
923	#387	—	73	1	no	—
924	#386	—	73	1	no	—
925	#386	—	73	1	no	—
926	#386	—	73	1	no	—
927	#386	—	73	1	no	—
928	#386	—	73	1	no	—
929	#386	—	73	1	no	—
930	#386	—	73	1	no	—
931	#386	—	73	1	no	—
932	#386	—	73	1	no	—
933	#386	—	73	1	no	—
934	#386	—	73	1	no	—
935	#386	—	73	1	no	—
936	#386	—	73	1	no	—
937	#386	—	73	1	no	—
938	#386	—	73	1	no	—
939	#386	C₂×D₇₃	1	1	yes	characteristic, complemented
940	#385	—	73	1	no	—
941	#385	—	73	1	no	—
942	#385	—	73	1	no	—
943	#385	—	73	1	no	—
944	#385	—	73	1	no	—
945	#385	—	73	1	no	—
946	#385	—	73	1	no	—
947	#385	—	73	1	no	—
948	#385	—	73	1	no	—
949	#385	—	73	1	no	—
950	#385	—	73	1	no	—
951	#385	C₂×D₇₃	1	1	yes	characteristic
952	#380	—	73	1	no	—
953	#380	—	73	1	no	—
954	#380	—	73	1	no	—
955	#380	—	73	1	no	—
956	#380	—	73	1	no	—
957	#380	—	73	1	no	—
958	#380	—	73	1	no	—
959	#380	—	73	1	no	—
960	#380	—	73	1	no	—
961	#380	—	73	1	no	—
962	#380	—	73	1	no	—
963	#380	—	73	1	no	—
964	#380	—	73	1	no	—
965	#380	—	73	1	no	—
966	#380	—	73	1	no	—
967	#380	C₂×D₇₃	1	1	yes	characteristic
968	#379	—	73	1	no	—
969	#379	—	73	1	no	—
970	C₄×C₂²⋊C₄	—	73	1	no	—
971	C₄×C₂²⋊C₄	—	73	1	no	—
972	C₂×#95	—	73	1	no	—
973	C₂×#95	—	73	1	no	—
974	C₂⁵	—	73	1	no	—
975	C₂²×Q₈	—	73	1	no	—
976	C₂²×Q₈	—	73	1	no	—
977	C₂²×Q₈	C₂²×D₇₃	1	1	yes	characteristic
978	C₂²×D₄	—	73	1	no	—
979	C₂²×D₄	—	73	1	no	—
980	C₂²×D₄	—	73	1	no	—
981	C₂²×D₄	—	73	1	no	—
982	C₂²×D₄	C₂²×D₇₃	1	1	yes	characteristic
983	C₂²×D₄	C₂²×D₇₃	1	1	yes	characteristic
984	C₂²×D₄	C₂²×D₇₃	1	1	yes	characteristic
985	C₂³×C₄	—	292	2	no	—
986	C₂³×C₄	—	292	2	no	—
987	C₂³×C₄	—	73	1	no	—
988	C₂³×C₄	—	73	1	no	—
989	C₂³×C₄	—	73	1	no	—
990	C₂³×C₄	—	73	1	no	—
991	C₂³×C₄	—	73	1	no	—
992	C₂³×C₄	—	73	1	no	—
993	C₂³×C₄	—	73	1	no	—
994	C₂³×C₄	—	73	1	no	—
995	C₂³×C₄	—	73	1	no	—
996	C₂³×C₄	—	73	1	no	—
997	C₂³×C₄	—	146	4	no	—
998	C₂³×C₄	C₂²×D₇₃	1	1	yes	characteristic
999	C₂³×C₄	C₂²×D₇₃	1	1	yes	characteristic
1000	#126	—	292	2	no	—
1001	#126	—	292	2	no	—
1002	#124	—	4	2	no	—
1003	#124	—	292	2	no	—
1004	#123	—	4	2	no	—
1005	#123	—	292	2	no	—
1006	C₂²⋊Q₈	—	4	2	no	—
1007	C₂²⋊Q₈	—	292	2	no	—
1008	C₂²⋊Q₈	—	292	2	no	—
1009	C₂²⋊Q₈	—	292	2	no	—
1010	C₂²⋊Q₈	—	292	2	no	—
1011	C₂²⋊Q₈	—	292	2	no	—
1012	C₂²⋊Q₈	—	146	4	no	—
1013	#121	—	4	2	no	—
1014	#121	—	292	2	no	—
1015	#121	—	146	4	no	—
1016	#120	—	292	2	no	—
1017	#120	—	292	2	no	—
1018	C₄×D₄	—	292	2	no	—
1019	C₄×D₄	—	292	2	no	—
1020	C₂×C₄⋊C₄	—	292	2	no	—
1021	C₂×C₄⋊C₄	—	292	2	no	—
1022	C₂×C₄⋊C₄	—	73	1	no	—
1023	C₂×C₄⋊C₄	—	73	1	no	—
1024	C₂×C₄⋊C₄	—	73	1	no	—
1025	C₂×C₄⋊C₄	—	73	1	no	—
1026	C₂×C₄⋊C₄	—	73	1	no	—
1027	C₂×C₄⋊C₄	—	73	1	no	—
1028	C₂×C₄⋊C₄	—	73	1	no	—
1029	C₂×C₄⋊C₄	—	73	1	no	—
1030	C₂×C₄⋊C₄	—	73	1	no	—
1031	C₂×C₄⋊C₄	—	73	1	no	—
1032	C₂×C₄⋊C₄	—	73	1	no	—
1033	C₂×C₄⋊C₄	—	73	1	no	—
1034	C₂×C₄⋊C₄	—	73	1	no	—
1035	C₂×C₄⋊C₄	—	73	1	no	—
1036	C₂×C₄⋊C₄	—	73	1	no	—
1037	C₂×C₄⋊C₄	—	73	1	no	—
1038	C₂×C₄⋊C₄	—	73	1	no	—
1039	C₂×C₄⋊C₄	—	73	1	no	—
1040	C₂×C₄⋊C₄	—	73	1	no	—
1041	C₂×C₄⋊C₄	—	73	1	no	—
1042	C₂×C₄⋊C₄	—	73	1	no	—
1043	C₂×C₄⋊C₄	—	73	1	no	—
1044	C₂×C₄⋊C₄	—	73	1	no	—
1045	C₂×C₄⋊C₄	—	73	1	no	—
1046	C₂×C₄⋊C₄	—	73	1	no	—
1047	C₂×C₄⋊C₄	—	73	1	no	—
1048	C₂×C₄⋊C₄	—	73	1	no	—
1049	C₂×C₄⋊C₄	C₂²×D₇₃	1	1	yes	characteristic
1050	C₂×C₄⋊C₄	C₂²×D₇₃	1	1	yes	characteristic
1051	C₂×C₄⋊C₄	C₂²×D₇₃	1	1	yes	characteristic
1052	C₂×C₄⋊C₄	C₂²×D₇₃	1	1	yes	characteristic
1053	C₂×C₄⋊C₄	C₂²×D₇₃	1	1	yes	characteristic
1054	C₂×C₄⋊C₄	C₂²×D₇₃	1	1	yes	characteristic
1055	C₂×C₄⋊C₄	C₂²×D₇₃	1	1	yes	characteristic
1056	C₂×C₄⋊C₄	C₂²×D₇₃	1	1	yes	characteristic
1057	C₂×C₄⋊C₄	C₂²×D₇₃	1	1	yes	characteristic
1058	C₂×C₂²⋊C₄	—	292	2	no	—
1059	C₂×C₂²⋊C₄	—	292	2	no	—
1060	C₂×C₂²⋊C₄	—	73	1	no	—
1061	C₂×C₂²⋊C₄	—	73	1	no	—
1062	C₂×C₂²⋊C₄	—	73	1	no	—
1063	C₂×C₂²⋊C₄	—	73	1	no	—
1064	C₂×C₂²⋊C₄	—	73	1	no	—
1065	C₂×C₂²⋊C₄	—	73	1	no	—
1066	C₂×C₂²⋊C₄	—	73	1	no	—
1067	C₂×C₂²⋊C₄	—	73	1	no	—
1068	C₂×C₂²⋊C₄	—	73	1	no	—
1069	C₂×C₂²⋊C₄	—	73	1	no	—
1070	C₂×C₂²⋊C₄	—	73	1	no	—
1071	C₂×C₂²⋊C₄	—	73	1	no	—
1072	C₂×C₂²⋊C₄	—	73	1	no	—
1073	C₂×C₂²⋊C₄	—	73	1	no	—
1074	C₂×C₂²⋊C₄	—	73	1	no	—
1075	C₂×C₂²⋊C₄	—	73	1	no	—
1076	C₂×C₂²⋊C₄	—	73	1	no	—
1077	C₂×C₂²⋊C₄	—	73	1	no	—
1078	C₂×C₂²⋊C₄	—	73	1	no	—
1079	C₂×C₂²⋊C₄	—	73	1	no	—
1080	C₂×C₂²⋊C₄	—	73	1	no	—
1081	C₂×C₂²⋊C₄	—	73	1	no	—
1082	C₂×C₂²⋊C₄	—	73	1	no	—
1083	C₂×C₂²⋊C₄	—	73	1	no	—
1084	C₂×C₂²⋊C₄	—	73	1	no	—
1085	C₂×C₂²⋊C₄	—	73	1	no	—
1086	C₂×C₂²⋊C₄	—	73	1	no	—
1087	C₂×C₂²⋊C₄	—	73	1	no	—
1088	C₂×C₂²⋊C₄	—	73	1	no	—
1089	C₂×C₂²⋊C₄	—	73	1	no	—
1090	C₂×C₂²⋊C₄	—	73	1	no	—
1091	C₂×C₂²⋊C₄	—	73	1	no	—
1092	C₂×C₂²⋊C₄	—	73	1	no	—
1093	C₂×C₂²⋊C₄	C₂²×D₇₃	1	1	yes	characteristic
1094	C₂×C₂²⋊C₄	C₂²×D₇₃	1	1	yes	characteristic
1095	C₂×C₂²⋊C₄	C₂²×D₇₃	1	1	yes	characteristic
1096	C₂×C₂²⋊C₄	C₂²×D₇₃	1	1	yes	characteristic
1097	C₂×C₂²⋊C₄	C₂²×D₇₃	1	1	yes	characteristic
1098	C₂×C₂²⋊C₄	C₂²×D₇₃	1	1	yes	characteristic
1099	C₂×C₂²⋊C₄	C₂²×D₇₃	1	1	yes	characteristic
1100	C₂×C₂²⋊C₄	C₂²×D₇₃	1	1	yes	characteristic
1101	C₂×C₂²⋊C₄	C₂²×D₇₃	1	1	yes	characteristic
1102	C₂×C₂²⋊C₄	C₂²×D₇₃	1	1	yes	characteristic
1103	C₂×C₂²⋊C₄	C₂²×D₇₃	1	1	yes	characteristic
1104	C₂×C₂²⋊C₄	C₂²×D₇₃	1	1	yes	characteristic
1105	C₂×C₂²⋊C₄	C₂²×D₇₃	1	1	yes	characteristic
1106	C₂×C₄²	—	73	1	no	—
1107	C₂×C₄²	—	73	1	no	—
1108	C₂×C₄²	—	73	1	no	—
1109	C₂×C₄²	—	73	1	no	—
1110	C₂×C₄²	—	73	1	no	—
1111	C₂×C₄²	C₂²×D₇₃	1	1	yes	characteristic
1112	#95	—	73	1	no	—
1113	#95	—	73	1	no	—
1114	#95	—	73	1	no	—
1115	#95	—	73	1	no	—
1116	#95	—	73	1	no	—
1117	#95	—	73	1	no	—
1118	#95	—	73	1	no	—
1119	#95	—	73	1	no	—
1120	#95	—	73	1	no	—
1121	#95	—	73	1	no	—
1122	#95	—	73	1	no	—
1123	#95	—	73	1	no	—
1124	#95	—	73	1	no	—
1125	#95	—	73	1	no	—
1126	#95	—	73	1	no	—
1127	#95	—	73	1	no	—
1128	#95	—	73	1	no	—
1129	#95	—	73	1	no	—
1130	#95	—	73	1	no	—
1131	#95	—	73	1	no	—
1132	#95	—	73	1	no	—
1133	#95	—	73	1	no	—
1134	#95	—	73	1	no	—
1135	#95	—	73	1	no	—
1136	#95	—	73	1	no	—
1137	#95	—	73	1	no	—
1138	#95	—	73	1	no	—
1139	#95	—	73	1	no	—
1140	#95	—	73	1	no	—
1141	#95	—	73	1	no	—
1142	#95	—	73	1	no	—
1143	#95	—	73	1	no	—
1144	#95	—	73	1	no	—
1145	#95	—	73	1	no	—
1146	#95	—	73	1	no	—
1147	#95	—	73	1	no	—
1148	#95	—	73	1	no	—
1149	#95	—	73	1	no	—
1150	#95	C₂²×D₇₃	1	1	yes	characteristic
1151	#95	C₂²×D₇₃	1	1	yes	characteristic
1152	#95	C₂²×D₇₃	1	1	yes	characteristic
1153	#95	C₂²×D₇₃	1	1	yes	characteristic
1154	#95	C₂²×D₇₃	1	1	yes	characteristic
1155	#95	C₂²×D₇₃	1	1	yes	characteristic
1156	C₂⁴	—	292	1	no	—
1157	C₂⁴	—	292	1	no	—
1158	C₂⁴	—	73	1	no	—
1159	C₂⁴	—	73	1	no	—
1160	C₂⁴	—	146	2	no	—
1161	C₂⁴	—	146	2	no	—
1162	C₂⁴	—	146	2	no	—
1163	C₂⁴	—	146	2	no	—
1164	C₂⁴	—	146	2	no	—
1165	C₂⁴	C₂³×D₇₃	1	1	yes	characteristic
1166	C₂⁴	C₂³×D₇₃	1	1	yes	characteristic
1167	C₂⁴	C₂³×D₇₃	1	1	yes	characteristic
1168	C₂×Q₈	—	4	1	no	—
1169	C₂×Q₈	—	4	1	no	—
1170	C₂×Q₈	—	4	1	no	—
1171	C₂×Q₈	—	292	1	no	—
1172	C₂×Q₈	—	292	1	no	—
1173	C₂×Q₈	—	292	1	no	—
1174	C₂×Q₈	—	292	1	no	—
1175	C₂×Q₈	—	292	1	no	—
1176	C₂×Q₈	—	146	2	no	—
1177	C₂×D₄	—	2	2	no	—
1178	C₂×D₄	—	2	2	no	—
1179	C₂×D₄	—	2	2	no	—
1180	C₂×D₄	—	4	1	no	—
1181	C₂×D₄	—	4	1	no	—
1182	C₂×D₄	—	4	1	no	—
1183	C₂×D₄	—	4	1	no	—
1184	C₂×D₄	—	4	1	no	—
1185	C₂×D₄	—	4	1	no	—
1186	C₂×D₄	—	292	1	no	—
1187	C₂×D₄	—	292	1	no	—
1188	C₂×D₄	—	292	1	no	—
1189	C₂×D₄	—	292	1	no	—
1190	C₂×D₄	—	146	2	no	—
1191	C₂×D₄	—	146	2	no	—
1192	C₂×D₄	—	146	2	no	—
1193	C₂×D₄	—	146	2	no	—
1194	C₂×D₄	—	146	2	no	—
1195	C₂×D₄	—	146	2	no	—
1196	C₂×D₄	—	146	2	no	—
1197	C₂×D₄	—	146	2	no	—
1198	C₂²×C₄	—	2	2	no	—
1199	C₂²×C₄	—	2	2	no	—
1200	C₂²×C₄	—	4	1	no	—
1201	C₂²×C₄	—	4	1	no	—
1202	C₂²×C₄	—	4	1	no	—
1203	C₂²×C₄	—	4	1	no	—
1204	C₂²×C₄	—	292	1	no	—
1205	C₂²×C₄	—	292	1	no	—
1206	C₂²×C₄	—	292	1	no	—
1207	C₂²×C₄	—	292	1	no	—
1208	C₂²×C₄	—	292	1	no	—
1209	C₂²×C₄	—	292	1	no	—
1210	C₂²×C₄	—	292	1	no	—
1211	C₂²×C₄	—	292	1	no	—
1212	C₂²×C₄	—	292	1	no	—
1213	C₂²×C₄	—	292	1	no	—
1214	C₂²×C₄	—	292	1	no	—
1215	C₂²×C₄	—	292	1	no	—
1216	C₂²×C₄	—	292	16	no	—
1217	C₂²×C₄	—	292	1	no	—
1218	C₂²×C₄	—	292	1	no	—
1219	C₂²×C₄	—	292	1	no	—
1220	C₂²×C₄	—	292	1	no	—
1221	C₂²×C₄	—	73	4	no	—
1222	C₂²×C₄	—	73	1	no	—
1223	C₂²×C₄	—	73	1	no	—
1224	C₂²×C₄	—	73	1	no	—
1225	C₂²×C₄	—	73	1	no	—
1226	C₂²×C₄	—	73	1	no	—
1227	C₂²×C₄	—	73	1	no	—
1228	C₂²×C₄	—	73	1	no	—
1229	C₂²×C₄	—	73	1	no	—
1230	C₂²×C₄	—	73	1	no	—
1231	C₂²×C₄	—	73	1	no	—
1232	C₂²×C₄	—	73	1	no	—
1233	C₂²×C₄	—	73	1	no	—
1234	C₂²×C₄	—	73	1	no	—
1235	C₂²×C₄	—	73	1	no	—
1236	C₂²×C₄	—	146	2	no	—
1237	C₂²×C₄	—	146	2	no	—
1238	C₂²×C₄	—	146	2	no	—
1239	C₂²×C₄	—	146	2	no	—
1240	C₂²×C₄	—	146	2	no	—
1241	C₂²×C₄	—	146	2	no	—
1242	C₂²×C₄	—	146	2	no	—
1243	C₂²×C₄	—	146	2	no	—
1244	C₂²×C₄	—	146	2	no	—
1245	C₂²×C₄	—	146	2	no	—
1246	C₂²×C₄	—	146	2	no	—
1247	C₂²×C₄	—	146	2	no	—
1248	C₂²×C₄	—	146	2	no	—
1249	C₂²×C₄	C₂³×D₇₃	1	1	yes	characteristic
1250	C₂²×C₄	C₂³×D₇₃	1	1	yes	characteristic
1251	C₂²×C₄	C₂³×D₇₃	1	1	yes	characteristic
1252	C₂²×C₄	C₂³×D₇₃	1	1	yes	characteristic
1253	C₂²×C₄	C₂³×D₇₃	1	1	yes	characteristic
1254	C₂²×C₄	C₂³×D₇₃	1	1	yes	characteristic
1255	C₂²×C₄	C₂³×D₇₃	1	1	yes	characteristic
1256	C₂²×C₄	C₂³×D₇₃	1	1	yes	characteristic
1257	C₂²×C₄	C₂³×D₇₃	1	1	yes	characteristic
1258	C₂²×C₄	C₂³×D₇₃	1	1	yes	characteristic
1259	C₂²×C₄	C₂³×D₇₃	1	1	yes	characteristic
1260	C₂²×C₄	C₂³×D₇₃	1	1	yes	characteristic
1261	C₄⋊C₄	—	2	2	no	—
1262	C₄⋊C₄	—	2	2	no	—
1263	C₄⋊C₄	—	2	2	no	—
1264	C₄⋊C₄	—	4	1	no	—
1265	C₄⋊C₄	—	4	1	no	—
1266	C₄⋊C₄	—	4	1	no	—
1267	C₄⋊C₄	—	4	1	no	—
1268	C₄⋊C₄	—	4	1	no	—
1269	C₄⋊C₄	—	4	1	no	—
1270	C₄⋊C₄	—	292	1	no	—
1271	C₄⋊C₄	—	292	1	no	—
1272	C₄⋊C₄	—	292	1	no	—
1273	C₄⋊C₄	—	292	1	no	—
1274	C₄⋊C₄	—	292	1	no	—
1275	C₄⋊C₄	—	292	1	no	—
1276	C₄⋊C₄	—	292	1	no	—
1277	C₄⋊C₄	—	292	1	no	—
1278	C₄⋊C₄	—	292	1	no	—
1279	C₄⋊C₄	—	292	1	no	—
1280	C₄⋊C₄	—	292	1	no	—
1281	C₄⋊C₄	—	292	1	no	—
1282	C₄⋊C₄	—	292	1	no	—
1283	C₄⋊C₄	—	292	1	no	—
1284	C₄⋊C₄	—	292	1	no	—
1285	C₄⋊C₄	—	292	1	no	—
1286	C₄⋊C₄	—	292	1	no	—
1287	C₄⋊C₄	—	292	1	no	—
1288	C₄⋊C₄	—	146	2	no	—
1289	C₄⋊C₄	—	146	2	no	—
1290	C₄⋊C₄	—	146	2	no	—
1291	C₄⋊C₄	—	146	2	no	—
1292	C₄⋊C₄	—	146	2	no	—
1293	C₄⋊C₄	—	146	2	no	—
1294	C₄⋊C₄	—	146	2	no	—
1295	C₄⋊C₄	—	146	2	no	—
1296	C₄⋊C₄	—	146	2	no	—
1297	C₂²⋊C₄	—	2	2	no	—
1298	C₂²⋊C₄	—	2	2	no	—
1299	C₂²⋊C₄	—	2	2	no	—
1300	C₂²⋊C₄	—	2	2	no	—
1301	C₂²⋊C₄	—	2	2	no	—
1302	C₂²⋊C₄	—	4	1	no	—
1303	C₂²⋊C₄	—	4	1	no	—
1304	C₂²⋊C₄	—	4	1	no	—
1305	C₂²⋊C₄	—	4	1	no	—
1306	C₂²⋊C₄	—	4	1	no	—
1307	C₂²⋊C₄	—	4	1	no	—
1308	C₂²⋊C₄	—	4	1	no	—
1309	C₂²⋊C₄	—	4	1	no	—
1310	C₂²⋊C₄	—	292	1	no	—
1311	C₂²⋊C₄	—	292	1	no	—
1312	C₂²⋊C₄	—	292	1	no	—
1313	C₂²⋊C₄	—	292	1	no	—
1314	C₂²⋊C₄	—	292	1	no	—
1315	C₂²⋊C₄	—	292	1	no	—
1316	C₂²⋊C₄	—	292	1	no	—
1317	C₂²⋊C₄	—	292	1	no	—
1318	C₂²⋊C₄	—	292	1	no	—
1319	C₂²⋊C₄	—	292	1	no	—
1320	C₂²⋊C₄	—	292	1	no	—
1321	C₂²⋊C₄	—	292	1	no	—
1322	C₂²⋊C₄	—	292	1	no	—
1323	C₂²⋊C₄	—	292	1	no	—
1324	C₂²⋊C₄	—	292	1	no	—
1325	C₂²⋊C₄	—	292	1	no	—
1326	C₂²⋊C₄	—	292	1	no	—
1327	C₂²⋊C₄	—	292	1	no	—
1328	C₂²⋊C₄	—	146	2	no	—
1329	C₂²⋊C₄	—	146	2	no	—
1330	C₂²⋊C₄	—	146	2	no	—
1331	C₂²⋊C₄	—	146	2	no	—
1332	C₂²⋊C₄	—	146	2	no	—
1333	C₂²⋊C₄	—	146	2	no	—
1334	C₂²⋊C₄	—	146	2	no	—
1335	C₂²⋊C₄	—	146	2	no	—
1336	C₂²⋊C₄	—	146	2	no	—
1337	C₂²⋊C₄	—	146	2	no	—
1338	C₂²⋊C₄	—	146	2	no	—
1339	C₂²⋊C₄	—	146	2	no	—
1340	C₂²⋊C₄	—	146	2	no	—
1341	C₂²⋊C₄	—	146	2	no	—
1342	C₂²⋊C₄	—	146	2	no	—
1343	C₄²	—	4	1	no	—
1344	C₄²	—	292	1	no	—
1345	C₄²	—	292	1	no	—
1346	C₄²	—	292	1	no	—
1347	C₄²	—	292	1	no	—
1348	C₄²	—	292	1	no	—
1349	C₂³	—	2	1	no	—
1350	C₂³	—	2	1	no	—
1351	C₂³	—	2	1	no	—
1352	C₂³	—	2	1	no	—
1353	C₂³	—	2	1	no	—
1354	C₂³	—	2	1	no	—
1355	C₂³	—	2	1	no	—
1356	C₂³	—	2	1	no	—
1357	C₂³	—	2	1	no	—
1358	C₂³	—	2	1	no	—
1359	C₂³	—	2	1	no	—
1360	C₂³	—	2	1	no	—
1361	C₂³	—	2	1	no	—
1362	C₂³	—	2	1	no	—
1363	C₂³	—	2	1	no	—
1364	C₂³	—	2	1	no	—
1365	C₂³	—	2	1	no	—
1366	C₂³	—	2	1	no	—
1367	C₂³	—	2	1	no	—
1368	C₂³	—	2	1	no	—
1369	C₂³	—	292	4	no	—
1370	C₂³	—	292	4	no	—
1371	C₂³	—	292	4	no	—
1372	C₂³	—	292	4	no	—
1373	C₂³	—	292	4	no	—
1374	C₂³	—	292	4	no	—
1375	C₂³	—	73	2	no	—
1376	C₂³	—	73	2	no	—
1377	C₂³	—	73	2	no	—
1378	C₂³	—	73	2	no	—
1379	C₂³	—	146	8	no	—
1380	C₂³	—	146	1	no	—
1381	C₂³	—	146	1	no	—
1382	C₂³	—	146	1	no	—
1383	C₂³	—	146	1	no	—
1384	C₂³	—	146	1	no	—
1385	C₂³	—	146	1	no	—
1386	C₂³	—	146	1	no	—
1387	C₂³	—	146	1	no	—
1388	C₂³	—	146	1	no	—
1389	C₂³	—	146	1	no	—
1390	C₂³	#14556636	1	2	yes	—
1391	C₂³	C₂⁴×D₇₃	1	1	yes	characteristic
1392	Q₈	—	8	2	no	—
1393	Q₈	—	584	2	no	—
1394	Q₈	—	584	2	no	—
1395	D₄	—	8	2	no	—
1396	D₄	—	8	2	no	—
1397	D₄	—	8	2	no	—
1398	D₄	—	292	4	no	—
1399	D₄	—	292	4	no	—
1400	D₄	—	584	2	no	—
1401	D₄	—	584	2	no	—
1402	C₂×C₄	—	2	1	no	—
1403	C₂×C₄	—	2	1	no	—
1404	C₂×C₄	—	2	1	no	—
1405	C₂×C₄	—	2	1	no	—
1406	C₂×C₄	—	2	1	no	—
1407	C₂×C₄	—	2	1	no	—
1408	C₂×C₄	—	2	1	no	—
1409	C₂×C₄	—	2	1	no	—
1410	C₂×C₄	—	2	1	no	—
1411	C₂×C₄	—	2	1	no	—
1412	C₂×C₄	—	2	1	no	—
1413	C₂×C₄	—	2	1	no	—
1414	C₂×C₄	—	2	1	no	—
1415	C₂×C₄	—	2	1	no	—
1416	C₂×C₄	—	2	1	no	—
1417	C₂×C₄	—	2	1	no	—
1418	C₂×C₄	—	2	1	no	—
1419	C₂×C₄	—	2	1	no	—
1420	C₂×C₄	—	2	1	no	—
1421	C₂×C₄	—	2	1	no	—
1422	C₂×C₄	—	2	1	no	—
1423	C₂×C₄	—	2	1	no	—
1424	C₂×C₄	—	2	1	no	—
1425	C₂×C₄	—	2	1	no	—
1426	C₂×C₄	—	2	1	no	—
1427	C₂×C₄	—	2	1	no	—
1428	C₂×C₄	—	2	1	no	—
1429	C₂×C₄	—	2	1	no	—
1430	C₂×C₄	—	2	1	no	—
1431	C₂×C₄	—	2	1	no	—
1432	C₂×C₄	—	2	1	no	—
1433	C₂×C₄	—	2	1	no	—
1434	C₂×C₄	—	2	1	no	—
1435	C₂×C₄	—	2	1	no	—
1436	C₂×C₄	—	4	4	no	—
1437	C₂×C₄	—	8	2	no	—
1438	C₂×C₄	—	292	4	no	—
1439	C₂×C₄	—	292	4	no	—
1440	C₂×C₄	—	292	4	no	—
1441	C₂×C₄	—	292	4	no	—
1442	C₂×C₄	—	584	2	no	—
1443	C₂×C₄	—	584	2	no	—
1444	C₂×C₄	—	584	2	no	—
1445	C₂×C₄	—	584	2	no	—
1446	C₂×C₄	—	584	2	no	—
1447	C₂×C₄	—	73	2	no	—
1448	C₂×C₄	—	73	2	no	—
1449	C₂×C₄	—	146	8	no	—
1450	C₂×C₄	—	146	1	no	—
1451	C₂×C₄	—	146	1	no	—
1452	C₂×C₄	—	146	1	no	—
1453	C₂×C₄	—	146	1	no	—
1454	C₂×C₄	—	146	1	no	—
1455	C₂×C₄	—	146	1	no	—
1456	C₂×C₄	—	146	1	no	—
1457	C₂×C₄	—	146	1	no	—
1458	C₂×C₄	—	146	1	no	—
1459	C₂×C₄	—	146	1	no	—
1460	C₂×C₄	—	146	1	no	—
1461	C₂×C₄	—	146	1	no	—
1462	C₂×C₄	—	146	1	no	—
1463	C₂×C₄	—	146	1	no	—
1464	C₂×C₄	—	146	1	no	—
1465	C₂×C₄	—	146	1	no	—
1466	C₂×C₄	—	146	1	no	—
1467	C₂×C₄	—	146	1	no	—
1468	C₂×C₄	—	146	1	no	—
1469	C₂×C₄	—	146	1	no	—
1470	C₂×C₄	—	146	1	no	—
1471	C₂×C₄	—	146	1	no	—
1472	C₂×C₄	—	146	1	no	—
1473	C₂×C₄	—	146	1	no	—
1474	C₂×C₄	—	146	1	no	—
1475	C₂×C₄	—	146	1	no	—
1476	C₂×C₄	—	146	1	no	—
1477	C₂×C₄	—	146	1	no	—
1478	C₂×C₄	—	146	1	no	—
1479	C₂×C₄	—	146	1	no	—
1480	C₂×C₄	—	146	1	no	—
1481	C₂×C₄	—	146	1	no	—
1482	C₂×C₄	—	146	1	no	—
1483	C₂×C₄	—	146	1	no	—
1484	C₂×C₄	—	146	1	no	—
1485	C₂×C₄	—	146	1	no	—
1486	C₂×C₄	—	146	1	no	—
1487	C₂×C₄	—	146	1	no	—
1488	C₂×C₄	—	146	1	no	—
1489	C₂×C₄	—	146	1	no	—
1490	C₂×C₄	#41×D₇₃	1	2	yes	—
1491	C₂×C₄	#14556636	1	2	yes	—
1492	C₂²	—	2	2	no	—
1493	C₂²	—	2	2	no	—
1494	C₂²	—	2	2	no	—
1495	C₂²	—	4	1	no	—
1496	C₂²	—	4	1	no	—
1497	C₂²	—	4	1	no	—
1498	C₂²	—	4	1	no	—
1499	C₂²	—	4	1	no	—
1500	C₂²	—	4	1	no	—
1501	C₂²	—	4	1	no	—
1502	C₂²	—	4	1	no	—
1503	C₂²	—	4	1	no	—
1504	C₂²	—	4	1	no	—
1505	C₂²	—	4	1	no	—
1506	C₂²	—	4	1	no	—
1507	C₂²	—	4	1	no	—
1508	C₂²	—	4	1	no	—
1509	C₂²	—	4	1	no	—
1510	C₂²	—	4	1	no	—
1511	C₂²	—	4	1	no	—
1512	C₂²	—	4	1	no	—
1513	C₂²	—	292	16	no	—
1514	C₂²	—	292	1	no	—
1515	C₂²	—	292	1	no	—
1516	C₂²	—	292	1	no	—
1517	C₂²	—	292	1	no	—
1518	C₂²	—	73	4	no	—
1519	C₂²	—	146	2	no	—
1520	C₂²	—	146	2	no	—
1521	C₂²	—	146	2	no	—
1522	C₂²	—	146	2	no	—
1523	C₂²	—	146	2	no	—
1524	C₂²	—	146	2	no	—
1525	C₂²	—	146	2	no	—
1526	C₂²	—	146	2	no	—
1527	C₂²	—	146	2	no	—
1528	C₂²	C₂×#41×D₇₃	1	1	yes	characteristic
1529	C₂²	H(5,𝔽₂)×D₇₃	1	1	yes	characteristic
1530	C₂²	H(5,𝔽₂)×D₇₃	1	1	yes	characteristic
1531	C₂²	C₂×#14556636	1	1	yes	characteristic
1532	C₂²	C₂×#14556636	1	1	yes	characteristic
1533	C₂²	2₋¹⁺⁴×D₇₃	1	1	yes	characteristic
1534	C₂²	2₋¹⁺⁴×D₇₃	1	1	yes	characteristic
1535	C₄	—	2	2	no	—
1536	C₄	—	2	2	no	—
1537	C₄	—	4	1	no	—
1538	C₄	—	4	1	no	—
1539	C₄	—	4	1	no	—
1540	C₄	—	4	1	no	—
1541	C₄	—	4	1	no	—
1542	C₄	—	4	1	no	—
1543	C₄	—	4	1	no	—
1544	C₄	—	4	1	no	—
1545	C₄	—	4	1	no	—
1546	C₄	—	4	1	no	—
1547	C₄	—	292	1	no	—
1548	C₄	—	292	1	no	—
1549	C₄	—	292	1	no	—
1550	C₄	—	292	1	no	—
1551	C₄	—	292	1	no	—
1552	C₄	—	292	1	no	—
1553	C₄	—	292	1	no	—
1554	C₄	—	292	1	no	—
1555	C₄	—	292	1	no	—
1556	C₄	—	292	1	no	—
1557	C₄	—	292	1	no	—
1558	C₄	—	292	1	no	—
1559	C₄	—	146	2	no	—
1560	C₄	—	146	2	no	—
1561	C₂	—	4	2	no	—
1562	C₂	—	8	1	no	—
1563	C₂	—	8	1	no	—
1564	C₂	—	292	2	no	—
1565	C₂	—	146	4	no	—
1566	C₂	#542×D₇₃	1	1	yes	characteristic
1567	C₂	#22623613	1	1	yes	characteristic
1568	C₂	#22623633	1	1	yes	characteristic
1569	C₂	#22624148	1	1	yes	characteristic
1570	C₂	#22624150	1	1	yes	characteristic
1571	C₂	#22624162	1	1	yes	characteristic
1572	C₂	#22624174	1	1	yes	characteristic

	subgroup	G/H
center, Frattini	C₂³	C₂⁴×D₇₃
commutator, socle, cosocle	C₂³×C₇₃	C₂⁵
Fitting	C₇₃×#2672	C₂
prime radical	#22618210	C₂
hypercenter	#2672	D₇₃
hypocenter	C₇₃	#36729
LCS	G ▷ C₂³×C₇₃ ▷ C₇₃
UCS	C₁ ◁ C₂³ ◁ #2672

Complements

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

N	H ≅ G/N	type
1. #22618217	C₂	semidirect
3. #22617134	C₂	semidirect
4. #22617130	C₂	semidirect
5. #22617062	C₂	semidirect
6. #22617058	C₂	semidirect
7. #22617049	C₂	semidirect
8. #22617045	C₂	semidirect
9. #22616768	C₂	semidirect
10. #22616766	C₂	semidirect
11. #22616564	C₂	semidirect
12. #22616552	C₂	semidirect
13. #22616433	C₂	semidirect
14. #22616421	C₂	semidirect
15. #22616411	C₂	semidirect
16. #22616407	C₂	semidirect
17. #22616176	C₂	semidirect
18. #22616044	C₂	semidirect
19. #22615862	C₂	semidirect
20. #22614198	C₂	semidirect
21. #22614193	C₂	semidirect
22. #22614053	C₂	semidirect
23. #22614052	C₂	semidirect
24. #22613743	C₂	semidirect
25. #22613737	C₂	semidirect
26. #22613390	C₂	semidirect
27. #22613386	C₂	semidirect
28. #22612665	C₂	semidirect
29. #22612633	C₂	semidirect
30. #380×D₇₃	C₂	semidirect
31. C₇₃×#2672	C₂	semidirect
33. C₂×#14556584	C₂²	semidirect
34. C₂×#14556584	C₂²	semidirect
41. C₂×#14556568	C₂²	semidirect
53. #17988529	C₂²	semidirect
54. #17988529	C₂²	semidirect
55. #17988528	C₂²	semidirect
56. #17988527	C₂²	semidirect
57. #17988526	C₂²	semidirect
58. #17988526	C₂²	semidirect
59. #17988523	C₂²	semidirect
62. #17988521	C₂²	semidirect
63. #17988521	C₂²	semidirect
64. #17988519	C₂²	semidirect
65. #17988518	C₂²	semidirect
66. #17988517	C₂²	semidirect
67. #17988517	C₂²	semidirect
72. #17988515	C₂²	semidirect
73. #17988515	C₂²	semidirect
74. #17988515	C₂²	semidirect
75. #17988515	C₂²	semidirect
76. #17988510	C₂²	semidirect
77. #17988510	C₂²	semidirect
78. #17988510	C₂²	semidirect
79. #17988507	C₂²	semidirect
80. #17988507	C₂²	semidirect
81. #17988507	C₂²	semidirect
82. #17988506	C₂²	semidirect
83. #17988506	C₂²	semidirect
90. #17988501	C₂²	semidirect
92. #17988499	C₂²	semidirect
93. #17988499	C₂²	semidirect
95. #17988492	C₂²	semidirect
96. #17988491	C₂²	semidirect
99. #17988483	C₂²	semidirect
100. #17988482	C₂²	semidirect
101. #17988482	C₂²	semidirect
103. #17988481	C₂²	semidirect
106. #17988480	C₂²	semidirect
112. #17988475	C₂²	semidirect
113. #17988474	C₂²	semidirect
114. #17988473	C₂²	semidirect
115. #17988473	C₂²	semidirect
116. #17988473	C₂²	semidirect
117. #17988472	C₂²	semidirect
118. #17988472	C₂²	semidirect
119. #17988471	C₂²	semidirect
120. #17988471	C₂²	semidirect
121. #17988470	C₂²	semidirect
122. #17988468	C₂²	semidirect
123. #17988468	C₂²	semidirect
124. #17988468	C₂²	semidirect
127. #17988467	C₂²	semidirect
143. #17988460	C₂²	semidirect
144. #17988460	C₂²	semidirect
145. #17988459	C₂²	semidirect
146. #17988459	C₂²	semidirect
174. C₂×C₂²⋊Q₈×C₇₃	C₂²	semidirect
176. #399×C₇₃	C₂²	semidirect
177. #396×C₇₃	C₂²	semidirect
178. #395×C₇₃	C₂²	semidirect
181. #394×C₇₃	C₂²	semidirect
182. #389×C₇₃	C₂²	semidirect
183. #388×C₇₃	C₂²	semidirect
184. #386×C₇₃	C₂²	semidirect
804. #2672	D₇₃	semidirect
818. C₇₃	#36729	semidirect
832. C₂×C₂²⋊Q₈	C₂×D₇₃	semidirect
853. #399	C₂×D₇₃	semidirect
871. #396	C₂×D₇₃	semidirect
877. #395	C₂×D₇₃	semidirect
887. #394	C₂×D₇₃	semidirect
899. #389	C₂×D₇₃	semidirect
911. #388	C₂×D₇₃	semidirect
939. #386	C₂×D₇₃	semidirect

Maximal subgroups

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

subgroup	index
#22618217	2
#22618210	2
#22617134	2
#22617130	2
#22617062	2
#22617058	2
#22617049	2
#22617045	2
#22616768	2
#22616766	2
#22616564	2
#22616552	2
#22616433	2
#22616421	2
#22616411	2
#22616407	2
#22616176	2
#22616044	2
#22615862	2
#22614198	2
#22614193	2
#22614053	2
#22614052	2
#22613743	2
#22613737	2
#22613390	2
#22613386	2
#22612665	2
#22612633	2
#380×D₇₃	2
C₇₃×#2672	2
#36729	73