Subgroups — #33300100

Order 18688.

1742 conjugacy classes of subgroups.

The subgroup lattice has 1460 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#22618268	C₂	1	1	yes	maximal, characteristic, complemented
2	#22618250	C₂	1	1	yes	maximal, characteristic, complemented
3	#22617773	C₂	1	1	yes	maximal, characteristic, complemented
4	#22617658	C₂	1	1	yes	maximal, characteristic, complemented
5	#22617658	C₂	1	1	yes	maximal, characteristic, complemented
6	#22617262	C₂	1	1	yes	maximal, characteristic, complemented
7	#22617163	C₂	1	1	yes	maximal, characteristic, complemented
8	#22617130	C₂	1	1	yes	maximal, characteristic, complemented
9	#22617117	C₂	1	1	yes	maximal, characteristic, complemented
10	#22617102	C₂	1	1	yes	maximal, characteristic, complemented
11	#22617033	C₂	1	1	yes	maximal, characteristic, complemented
12	#22617018	C₂	1	1	yes	maximal, characteristic, complemented
13	#22617018	C₂	1	1	yes	maximal, characteristic, complemented
14	#22617003	C₂	1	1	yes	maximal, characteristic, complemented
15	#22616902	C₂	1	1	yes	maximal, characteristic, complemented
16	#22616641	C₂	1	1	yes	maximal, characteristic, complemented
17	#22616397	C₂	1	1	yes	maximal, characteristic, complemented
18	#22616358	C₂	1	1	yes	maximal, characteristic, complemented
19	#22615903	C₂	1	1	yes	maximal, characteristic, complemented
20	#22615886	C₂	1	1	yes	maximal, characteristic, complemented
21	#22614320	C₂	1	1	yes	maximal, characteristic, complemented
22	#22614209	C₂	1	1	yes	maximal, characteristic, complemented
23	#22614069	C₂	1	1	yes	maximal, characteristic, complemented
24	#22613746	C₂	1	1	yes	maximal, characteristic, complemented
25	#22613592	C₂	1	1	yes	maximal, characteristic, complemented
26	#22613404	C₂	1	1	yes	maximal, characteristic, complemented
27	#22613328	C₂	1	1	yes	maximal, characteristic
28	#22612592	C₂	1	1	yes	maximal, characteristic
29	#22612543	C₂	1	1	yes	maximal, characteristic, complemented
30	C₂×#17988480	C₂	1	1	yes	maximal, characteristic, complemented
31	C₇₃×#2412	C₂	1	1	yes	maximal, characteristic
32	C₂×#14556581	C₂²	1	1	yes	characteristic, complemented
33	C₂×#14556572	C₂²	1	1	yes	characteristic
34	C₂×#14556570	C₂²	1	1	yes	characteristic
35	C₂×#14556568	C₂²	1	1	yes	characteristic
36	C₂×#14556568	C₂²	1	1	yes	characteristic, complemented
37	C₂×D₄×Dic₇₃	C₂²	1	1	yes	characteristic
38	C₂²×C₄⋊Dic₇₃	C₂²	1	1	yes	characteristic
39	C₂²×C₂²⋊Dic₇₃	C₂²	1	1	yes	characteristic
40	C₂²×C₂²⋊Dic₇₃	C₂²	1	1	yes	characteristic
41	C₂²×C₂²⋊Dic₇₃	C₂²	1	1	yes	characteristic
42	C₂²×C₄×Dic₇₃	C₂²	1	1	yes	characteristic
43	C₇₃⋊#401	C₂²	1	1	yes	characteristic, complemented
44	C₇₃⋊#401	C₂²	1	1	yes	characteristic, complemented
45	#17988529	C₂²	1	1	yes	characteristic, complemented
46	#17988529	C₂²	1	1	yes	characteristic, complemented
47	#17988528	C₂²	1	1	yes	characteristic, complemented
48	#17988528	C₂²	1	1	yes	characteristic, complemented
49	#17988528	C₂²	1	1	yes	characteristic, complemented
50	#17988528	C₂²	1	1	yes	characteristic, complemented
51	#17988527	C₂²	1	1	yes	characteristic, complemented
52	#17988527	C₂²	1	1	yes	characteristic, complemented
53	#17988527	C₂²	1	1	yes	characteristic, complemented
54	#17988527	C₂²	1	1	yes	characteristic, complemented
55	#17988526	C₂²	1	1	yes	characteristic, complemented
56	#17988525	C₂²	1	1	yes	characteristic, complemented
57	#17988523	C₂²	1	1	yes	characteristic
58	#17988523	C₂²	1	1	yes	characteristic, complemented
59	#17988521	C₂²	1	1	yes	characteristic, complemented
60	#17988521	C₂²	1	1	yes	characteristic, complemented
61	#17988520	C₂²	1	1	yes	characteristic, complemented
62	#17988520	C₂²	1	1	yes	characteristic, complemented
63	#17988519	C₂²	1	1	yes	characteristic, complemented
64	#17988518	C₂²	1	1	yes	characteristic, complemented
65	#17988517	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
73	#17988515	C₂²	1	1	yes	characteristic
74	#17988515	C₂²	1	1	yes	characteristic, complemented
75	#17988515	C₂²	1	1	yes	characteristic, complemented
76	#17988515	C₂²	1	1	yes	characteristic, complemented
77	#17988515	C₂²	1	1	yes	characteristic, complemented
78	#17988512	C₂²	1	1	yes	characteristic, complemented
79	#17988510	C₂²	1	1	yes	characteristic
80	#17988510	C₂²	1	1	yes	characteristic
81	#17988510	C₂²	1	1	yes	characteristic, complemented
82	#17988510	C₂²	1	1	yes	characteristic, complemented
83	#17988508	C₂²	1	1	yes	characteristic, complemented
84	#17988501	C₂²	1	1	yes	characteristic
85	#17988501	C₂²	1	1	yes	characteristic
86	#17988499	C₂²	1	1	yes	characteristic
87	#17988491	C₂²	1	1	yes	characteristic, complemented
88	#17988491	C₂²	1	1	yes	characteristic, complemented
89	#17988490	C₂²	1	1	yes	characteristic
90	#17988490	C₂²	1	1	yes	characteristic
91	#17988484	C₂²	1	1	yes	characteristic, complemented
92	#17988484	C₂²	1	1	yes	characteristic, complemented
93	#17988484	C₂²	1	1	yes	characteristic, complemented
94	#17988484	C₂²	1	1	yes	characteristic, complemented
95	#17988480	C₂²	1	1	yes	characteristic
96	#17988480	C₂²	1	1	yes	characteristic
97	#17988480	C₂²	1	1	yes	characteristic
98	#17988480	C₂²	1	1	yes	characteristic
99	#17988480	C₂²	1	1	yes	characteristic
100	#17988480	C₂²	1	1	yes	characteristic
101	#17988480	C₂²	1	1	yes	characteristic
102	#17988480	C₂²	1	1	yes	characteristic
103	#17988480	C₂²	1	1	yes	characteristic
104	#17988480	C₂²	1	1	yes	characteristic
105	#17988480	C₂²	1	1	yes	characteristic
106	#17988480	C₂²	1	1	yes	characteristic
107	#17988475	C₂²	1	1	yes	characteristic, complemented
108	#17988475	C₂²	1	1	yes	characteristic, complemented
109	#17988475	C₂²	1	1	yes	characteristic, complemented
110	#17988475	C₂²	1	1	yes	characteristic, complemented
111	#17988474	C₂²	1	1	yes	characteristic, complemented
112	#17988474	C₂²	1	1	yes	characteristic, complemented
113	#17988474	C₂²	1	1	yes	characteristic, complemented
114	#17988473	C₂²	1	1	yes	characteristic, complemented
115	#17988472	C₂²	1	1	yes	characteristic, complemented
116	#17988472	C₂²	1	1	yes	characteristic, complemented
117	#17988470	C₂²	1	1	yes	characteristic, complemented
118	#17988470	C₂²	1	1	yes	characteristic, complemented
119	#17988470	C₂²	1	1	yes	characteristic, complemented
120	#17988469	C₂²	1	1	yes	characteristic, complemented
121	#17988468	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	#17988468	C₂²	1	1	yes	characteristic, complemented
126	#17988468	C₂²	1	1	yes	characteristic, complemented
127	#17988467	C₂²	1	1	yes	characteristic
128	#17988467	C₂²	1	1	yes	characteristic
129	#17988467	C₂²	1	1	yes	characteristic
130	#17988467	C₂²	1	1	yes	characteristic
131	#17988467	C₂²	1	1	yes	characteristic
132	#17988467	C₂²	1	1	yes	characteristic
133	#17988462	C₂²	1	1	yes	characteristic
134	#17988462	C₂²	1	1	yes	characteristic
135	#17988462	C₂²	1	1	yes	characteristic, complemented
136	#17988460	C₂²	1	1	yes	characteristic
137	#17988460	C₂²	1	1	yes	characteristic
138	#17988460	C₂²	1	1	yes	characteristic
139	#17988460	C₂²	1	1	yes	characteristic
140	#17988460	C₂²	1	1	yes	characteristic
141	#17988460	C₂²	1	1	yes	characteristic
142	#17988460	C₂²	1	1	yes	characteristic
143	#17988460	C₂²	1	1	yes	characteristic
144	#17988459	C₂²	1	1	yes	characteristic
145	#17988459	C₂²	1	1	yes	characteristic
146	#17988459	C₂²	1	1	yes	characteristic
147	#17988459	C₂²	1	1	yes	characteristic
148	#17988459	C₂²	1	1	yes	characteristic
149	#17988459	C₂²	1	1	yes	characteristic
150	#17988459	C₂²	1	1	yes	characteristic
151	#17988459	C₂²	1	1	yes	characteristic
152	#17988459	C₂²	1	1	yes	characteristic, complemented
153	#17988454	C₂²	1	1	yes	characteristic, complemented
154	#17988450	C₂²	1	1	yes	characteristic
155	#17988450	C₂²	1	1	yes	characteristic
156	#17988448	C₂²	1	1	yes	characteristic
157	#17988448	C₂²	1	1	yes	characteristic
158	#17988448	C₂²	1	1	yes	characteristic
159	#17988448	C₂²	1	1	yes	characteristic, complemented
160	#17988447	C₂²	1	1	yes	characteristic
161	#17988445	C₂²	1	1	yes	characteristic
162	#17988445	C₂²	1	1	yes	characteristic
163	#17988445	C₂²	1	1	yes	characteristic
164	#17988445	C₂²	1	1	yes	characteristic
165	#17988445	C₂²	1	1	yes	characteristic
166	#17988445	C₂²	1	1	yes	characteristic
167	#17988445	C₂²	1	1	yes	characteristic
168	#17988443	C₂²	1	1	yes	characteristic
169	C₂²⋊C₄×Dic₇₃	C₂²	1	1	yes	characteristic
170	C₂×#14556498	C₂²	1	1	yes	characteristic
171	C₂×#14556498	C₂²	1	1	yes	characteristic
172	C₂×#123×C₇₃	C₂²	1	1	yes	characteristic
173	C₂×#120×C₇₃	C₂²	1	1	yes	characteristic
174	C₂²×C₂²⋊C₄×C₇₃	C₂²	1	1	yes	characteristic
175	C₂²×C₂²⋊C₄×C₇₃	C₂²	1	1	yes	characteristic
176	#397×C₇₃	C₂²	1	1	yes	characteristic
177	#397×C₇₃	C₂²	1	1	yes	characteristic
178	#394×C₇₃	C₂²	1	1	yes	characteristic
179	#394×C₇₃	C₂²	1	1	yes	characteristic
180	#386×C₇₃	C₂²	1	1	yes	characteristic
181	#386×C₇₃	C₂²	1	1	yes	characteristic
182	#386×C₇₃	C₂²	1	1	yes	characteristic
183	#385×C₇₃	C₂²	1	1	yes	characteristic
184	#381×C₇₃	C₂²	1	1	yes	characteristic
185	#380×C₇₃	C₂²	1	1	yes	characteristic
186	#380×C₇₃	C₂²	1	1	yes	characteristic
187	C₂²×Dic₁₄₆	C₂³	1	1	yes	characteristic
188	C₂³×Dic₇₃	C₂³	1	1	yes	characteristic
189	C₂³×Dic₇₃	C₂³	1	1	yes	characteristic
190	C₂³×Dic₇₃	C₂³	1	1	yes	characteristic
191	C₂³×Dic₇₃	C₂³	1	1	yes	characteristic
192	C₂³×Dic₇₃	C₂³	1	1	yes	characteristic
193	C₂³×Dic₇₃	C₂³	1	1	yes	characteristic
194	C₂³×Dic₇₃	C₂³	1	1	yes	characteristic
195	#14556581	—	4	2	no	—
196	#14556572	—	4	2	no	—
197	#14556570	—	4	2	no	—
198	#14556568	—	4	2	no	—
199	#14556568	—	4	2	no	—
200	D₄×Dic₇₃	—	4	2	no	—
201	C₂×C₄⋊Dic₇₃	—	4	2	no	—
202	C₂×C₄⋊Dic₇₃	C₂³	1	1	yes	characteristic
203	C₂×C₄⋊Dic₇₃	C₂³	1	1	yes	characteristic
204	C₂×C₄⋊Dic₇₃	C₂³	1	1	yes	characteristic
205	C₂×C₄⋊Dic₇₃	C₂³	1	1	yes	characteristic
206	C₂×C₄⋊Dic₇₃	C₂³	1	1	yes	characteristic
207	C₂×C₄⋊Dic₇₃	C₂³	1	1	yes	characteristic
208	C₂×C₄⋊Dic₇₃	C₂³	1	1	yes	characteristic
209	C₂×C₄⋊Dic₇₃	C₂³	1	1	yes	characteristic
210	C₂×C₄⋊Dic₇₃	C₂³	1	1	yes	characteristic
211	C₂×C₄⋊Dic₇₃	C₂³	1	1	yes	characteristic
212	C₂×#11924007	C₂³	1	1	yes	characteristic
213	C₂×#11924007	C₂³	1	1	yes	characteristic
214	C₂×#11924007	C₂³	1	1	yes	characteristic
215	C₂×#11924007	C₂³	1	1	yes	characteristic
216	C₂×#11924007	C₂³	1	1	yes	characteristic
217	C₂×#11924007	C₂³	1	1	yes	characteristic
218	C₂×#11924007	C₂³	1	1	yes	characteristic
219	C₂×#11924007	C₂³	1	1	yes	characteristic
220	C₂×#11924007	C₂³	1	1	yes	characteristic
221	C₂×#11924007	C₂³	1	1	yes	characteristic
222	C₂×#11924007	C₂³	1	1	yes	characteristic
223	C₂×#11924007	C₂³	1	1	yes	characteristic
224	C₂×#11924007	C₂³	1	1	yes	characteristic
225	C₂×#11924007	C₂³	1	1	yes	characteristic
226	C₂×#11924007	C₂³	1	1	yes	characteristic
227	C₂×#11924007	C₂³	1	1	yes	characteristic
228	C₂×#11924007	C₂³	1	1	yes	characteristic
229	C₂×#11924007	C₂³	1	1	yes	characteristic
230	C₂×#11924007	C₂³	1	1	yes	characteristic
231	C₂×#11924007	C₂³	1	1	yes	characteristic
232	C₂×#11924007	C₂³	1	1	yes	characteristic
233	C₂×#11924007	C₂³	1	1	yes	characteristic
234	C₂×C₂²⋊Dic₇₃	—	2	4	no	—
235	C₂×C₂²⋊Dic₇₃	—	4	2	no	—
236	C₂×C₂²⋊Dic₇₃	—	4	2	no	—
237	C₂×C₂²⋊Dic₇₃	C₂³	1	1	yes	characteristic
238	C₂×C₂²⋊Dic₇₃	C₂³	1	1	yes	characteristic
239	C₂×C₂²⋊Dic₇₃	C₂³	1	1	yes	characteristic
240	C₂×C₂²⋊Dic₇₃	C₂³	1	1	yes	characteristic
241	C₂×C₂²⋊Dic₇₃	C₂³	1	1	yes	characteristic
242	C₂×C₂²⋊Dic₇₃	C₂³	1	1	yes	characteristic
243	C₂×C₂²⋊Dic₇₃	C₂³	1	1	yes	characteristic
244	C₂×C₂²⋊Dic₇₃	C₂³	1	1	yes	characteristic
245	C₂×C₂²⋊Dic₇₃	C₂³	1	1	yes	characteristic
246	C₂×C₂²⋊Dic₇₃	C₂³	1	1	yes	characteristic
247	C₂×C₂²⋊Dic₇₃	C₂³	1	1	yes	characteristic
248	C₂×C₂²⋊Dic₇₃	C₂³	1	1	yes	characteristic
249	C₂×C₂²⋊Dic₇₃	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×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×C₄×Dic₇₃	—	4	2	no	—
263	C₂×C₄×Dic₇₃	C₂³	1	1	yes	characteristic
264	C₂×C₄×Dic₇₃	C₂³	1	1	yes	characteristic
265	C₂×C₄×Dic₇₃	C₂³	1	1	yes	characteristic
266	C₂×C₄×Dic₇₃	C₂³	1	1	yes	characteristic
267	C₂×C₄×Dic₇₃	C₂³	1	1	yes	characteristic
268	C₂×C₄×Dic₇₃	C₂³	1	1	yes	characteristic
269	C₂×C₄×Dic₇₃	C₂³	1	1	yes	characteristic
270	#14556498	C₂³	1	1	yes	characteristic
271	#14556498	C₂³	1	1	yes	characteristic
272	#14556498	C₂³	1	1	yes	characteristic
273	#14556498	C₂³	1	1	yes	characteristic
274	#14556498	C₂³	1	1	yes	characteristic
275	#14556498	C₂³	1	1	yes	characteristic
276	#14556498	C₂³	1	1	yes	characteristic
277	#14556498	C₂³	1	1	yes	characteristic
278	#14556498	C₂³	1	1	yes	characteristic
279	#14556498	C₂³	1	1	yes	characteristic
280	#14556498	C₂³	1	1	yes	characteristic
281	#14556498	C₂³	1	1	yes	characteristic
282	#14556498	C₂³	1	1	yes	characteristic
283	#14556498	C₂³	1	1	yes	characteristic
284	#14556498	C₂³	1	1	yes	characteristic
285	#14556498	C₂³	1	1	yes	characteristic
286	#14556498	C₂³	1	1	yes	characteristic
287	#14556498	C₂³	1	1	yes	characteristic
288	#14556498	C₂³	1	1	yes	characteristic
289	#14556498	C₂³	1	1	yes	characteristic
290	#14556498	C₂³	1	1	yes	characteristic
291	#14556498	C₂³	1	1	yes	characteristic
292	#14556498	C₂³	1	1	yes	characteristic
293	#14556498	C₂³	1	1	yes	characteristic
294	#14556498	C₂³	1	1	yes	characteristic
295	#14556498	C₂³	1	1	yes	characteristic
296	#14556498	C₂³	1	1	yes	characteristic
297	#14556498	C₂³	1	1	yes	characteristic
298	#14556498	C₂³	1	1	yes	characteristic
299	#14556498	C₂³	1	1	yes	characteristic
300	#14556498	C₂³	1	1	yes	characteristic
301	#14556498	C₂³	1	1	yes	characteristic
302	#14556498	C₂³	1	1	yes	characteristic
303	#14556498	C₂³	1	1	yes	characteristic
304	#14556498	C₂³	1	1	yes	characteristic
305	#14556498	C₂³	1	1	yes	characteristic
306	#14556498	C₂³	1	1	yes	characteristic
307	#14556498	C₂³	1	1	yes	characteristic
308	#14556498	C₂³	1	1	yes	characteristic
309	#14556498	C₂³	1	1	yes	characteristic
310	#14556498	C₂³	1	1	yes	characteristic
311	#14556498	C₂³	1	1	yes	characteristic
312	#14556498	C₂³	1	1	yes	characteristic
313	#14556498	C₂³	1	1	yes	characteristic
314	#14556498	C₂³	1	1	yes	characteristic
315	#14556498	C₂³	1	1	yes	characteristic
316	#14556498	C₂³	1	1	yes	characteristic
317	#14556498	C₂³	1	1	yes	characteristic
318	C₂⁵×C₇₃	C₂³	1	1	yes	characteristic
319	C₂²×D₄×C₇₃	C₂³	1	1	yes	characteristic
320	C₂²×D₄×C₇₃	C₂³	1	1	yes	characteristic
321	C₂²×D₄×C₇₃	C₂³	1	1	yes	characteristic
322	C₂³×C₄×C₇₃	C₂³	1	1	yes	characteristic
323	C₂³×C₄×C₇₃	C₂³	1	1	yes	characteristic
324	C₂³×C₄×C₇₃	C₂³	1	1	yes	characteristic
325	C₂³×C₄×C₇₃	C₂³	1	1	yes	characteristic
326	#123×C₇₃	—	4	2	no	—
327	#120×C₇₃	—	2	4	no	—
328	C₂×C₄⋊C₄×C₇₃	C₂³	1	1	yes	characteristic
329	C₂×C₄⋊C₄×C₇₃	C₂³	1	1	yes	characteristic
330	C₂×C₄⋊C₄×C₇₃	C₂³	1	1	yes	characteristic
331	C₂×C₄⋊C₄×C₇₃	C₂³	1	1	yes	characteristic
332	C₂×C₂²⋊C₄×C₇₃	—	2	4	no	—
333	C₂×C₂²⋊C₄×C₇₃	—	4	2	no	—
334	C₂×C₂²⋊C₄×C₇₃	C₂³	1	1	yes	characteristic
335	C₂×C₂²⋊C₄×C₇₃	C₂³	1	1	yes	characteristic
336	C₂×C₂²⋊C₄×C₇₃	C₂³	1	1	yes	characteristic
337	C₂×C₂²⋊C₄×C₇₃	C₂³	1	1	yes	characteristic
338	C₂×C₂²⋊C₄×C₇₃	C₂³	1	1	yes	characteristic
339	C₂×C₂²⋊C₄×C₇₃	C₂³	1	1	yes	characteristic
340	C₂×C₂²⋊C₄×C₇₃	C₂³	1	1	yes	characteristic
341	C₂×C₂²⋊C₄×C₇₃	C₂³	1	1	yes	characteristic
342	C₂×C₂²⋊C₄×C₇₃	C₂³	1	1	yes	characteristic
343	C₂×C₂²⋊C₄×C₇₃	C₂³	1	1	yes	characteristic
344	C₂×C₂²⋊C₄×C₇₃	C₂³	1	1	yes	characteristic
345	C₂×C₂²⋊C₄×C₇₃	C₂³	1	1	yes	characteristic
346	C₂×C₂²⋊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	#95×C₇₃	C₂³	1	1	yes	characteristic
350	#95×C₇₃	C₂³	1	1	yes	characteristic
351	#95×C₇₃	C₂³	1	1	yes	characteristic
352	#95×C₇₃	C₂³	1	1	yes	characteristic
353	#95×C₇₃	C₂³	1	1	yes	characteristic
354	#95×C₇₃	C₂³	1	1	yes	characteristic
355	#95×C₇₃	C₂³	1	1	yes	characteristic
356	#95×C₇₃	C₂³	1	1	yes	characteristic
357	C₂×Dic₁₄₆	—	2	2	no	—
358	C₂×Dic₁₄₆	—	4	1	no	—
359	C₂×Dic₁₄₆	—	4	1	no	—
360	C₂²×Dic₇₃	—	2	2	no	—
361	C₂²×Dic₇₃	—	2	2	no	—
362	C₂²×Dic₇₃	—	2	2	no	—
363	C₂²×Dic₇₃	—	2	2	no	—
364	C₂²×Dic₇₃	—	2	2	no	—
365	C₂²×Dic₇₃	—	2	2	no	—
366	C₂²×Dic₇₃	—	2	2	no	—
367	C₂²×Dic₇₃	—	4	1	no	—
368	C₂²×Dic₇₃	—	4	1	no	—
369	C₂²×Dic₇₃	—	4	1	no	—
370	C₂²×Dic₇₃	—	4	1	no	—
371	C₂²×Dic₇₃	—	4	1	no	—
372	C₂²×Dic₇₃	—	4	1	no	—
373	C₂²×Dic₇₃	—	4	1	no	—
374	C₂²×Dic₇₃	—	4	1	no	—
375	C₂²×Dic₇₃	—	4	1	no	—
376	C₂²×Dic₇₃	—	4	1	no	—
377	C₂²×Dic₇₃	—	4	1	no	—
378	C₂²×Dic₇₃	—	4	1	no	—
379	C₂²×Dic₇₃	—	4	1	no	—
380	C₂²×Dic₇₃	—	4	1	no	—
381	C₂²×Dic₇₃	C₂⁴	1	1	yes	characteristic
382	C₂²×Dic₇₃	C₂⁴	1	1	yes	characteristic
383	C₂²×Dic₇₃	C₂⁴	1	1	yes	characteristic
384	C₂²×Dic₇₃	C₂⁴	1	1	yes	characteristic
385	C₂²×Dic₇₃	C₂⁴	1	1	yes	characteristic
386	C₂²×Dic₇₃	C₂⁴	1	1	yes	characteristic
387	C₂²×Dic₇₃	C₂⁴	1	1	yes	characteristic
388	C₂²×Dic₇₃	C₂⁴	1	1	yes	characteristic
389	C₂²×Dic₇₃	C₂⁴	1	1	yes	characteristic
390	C₂²×Dic₇₃	C₂⁴	1	1	yes	characteristic
391	C₂²×Dic₇₃	C₂⁴	1	1	yes	characteristic
392	C₂²×Dic₇₃	C₂⁴	1	1	yes	characteristic
393	C₂²×Dic₇₃	C₂⁴	1	1	yes	characteristic
394	C₂²×Dic₇₃	C₂⁴	1	1	yes	characteristic
395	C₂²×Dic₇₃	C₂⁴	1	1	yes	characteristic
396	C₂²×Dic₇₃	C₂⁴	1	1	yes	characteristic
397	C₄⋊Dic₇₃	—	2	2	no	—
398	C₄⋊Dic₇₃	—	2	2	no	—
399	C₄⋊Dic₇₃	—	4	1	no	—
400	C₄⋊Dic₇₃	—	4	1	no	—
401	C₄⋊Dic₇₃	—	4	1	no	—
402	C₄⋊Dic₇₃	—	4	1	no	—
403	C₄⋊Dic₇₃	—	4	1	no	—
404	C₄⋊Dic₇₃	—	4	1	no	—
405	C₄⋊Dic₇₃	—	4	1	no	—
406	C₄⋊Dic₇₃	—	4	1	no	—
407	#11924007	—	2	2	no	—
408	#11924007	—	2	2	no	—
409	#11924007	—	4	1	no	—
410	#11924007	—	4	1	no	—
411	#11924007	—	4	1	no	—
412	#11924007	—	4	1	no	—
413	#11924007	—	4	1	no	—
414	#11924007	—	4	1	no	—
415	#11924007	—	4	1	no	—
416	#11924007	—	4	1	no	—
417	#11924007	—	4	1	no	—
418	#11924007	—	4	1	no	—
419	#11924007	—	4	1	no	—
420	#11924007	—	4	1	no	—
421	#11924007	—	4	1	no	—
422	#11924007	—	4	1	no	—
423	#11924007	—	4	1	no	—
424	#11924007	—	4	1	no	—
425	#11924007	—	4	1	no	—
426	#11924007	—	4	1	no	—
427	#11924007	—	4	1	no	—
428	#11924007	—	4	1	no	—
429	C₂²⋊Dic₇₃	—	2	2	no	—
430	C₂²⋊Dic₇₃	—	2	2	no	—
431	C₂²⋊Dic₇₃	—	2	2	no	—
432	C₂²⋊Dic₇₃	—	2	2	no	—
433	C₂²⋊Dic₇₃	—	2	2	no	—
434	C₂²⋊Dic₇₃	—	2	2	no	—
435	C₂²⋊Dic₇₃	—	2	2	no	—
436	C₂²⋊Dic₇₃	—	2	2	no	—
437	C₂²⋊Dic₇₃	—	2	2	no	—
438	C₂²⋊Dic₇₃	—	4	1	no	—
439	C₂²⋊Dic₇₃	—	4	1	no	—
440	C₂²⋊Dic₇₃	—	4	1	no	—
441	C₂²⋊Dic₇₃	—	4	1	no	—
442	C₂²⋊Dic₇₃	—	4	1	no	—
443	C₂²⋊Dic₇₃	—	4	1	no	—
444	C₂²⋊Dic₇₃	—	4	1	no	—
445	C₂²⋊Dic₇₃	—	4	1	no	—
446	C₂²⋊Dic₇₃	—	4	1	no	—
447	C₂²⋊Dic₇₃	—	4	1	no	—
448	C₂²⋊Dic₇₃	—	4	1	no	—
449	C₂²⋊Dic₇₃	—	4	1	no	—
450	C₂²⋊Dic₇₃	—	4	1	no	—
451	C₂²⋊Dic₇₃	—	4	1	no	—
452	C₂²⋊Dic₇₃	—	4	1	no	—
453	C₂²⋊Dic₇₃	—	4	1	no	—
454	C₄×Dic₇₃	—	4	1	no	—
455	C₄×Dic₇₃	—	4	1	no	—
456	C₄×Dic₇₃	—	4	1	no	—
457	C₄×Dic₇₃	—	4	1	no	—
458	C₄×Dic₇₃	—	4	1	no	—
459	C₄×Dic₇₃	—	4	1	no	—
460	C₄×Dic₇₃	—	4	1	no	—
461	C₂⁴×C₇₃	—	2	2	no	—
462	C₂⁴×C₇₃	—	2	2	no	—
463	C₂⁴×C₇₃	—	4	1	no	—
464	C₂⁴×C₇₃	—	4	1	no	—
465	C₂⁴×C₇₃	—	4	1	no	—
466	C₂⁴×C₇₃	—	4	1	no	—
467	C₂⁴×C₇₃	#41	1	4	yes	—
468	C₂⁴×C₇₃	C₂⁴	1	1	yes	characteristic
469	C₂⁴×C₇₃	C₂⁴	1	1	yes	characteristic
470	C₂⁴×C₇₃	C₂⁴	1	1	yes	characteristic
471	C₂⁴×C₇₃	C₂⁴	1	1	yes	characteristic
472	C₂×D₄×C₇₃	—	2	2	no	—
473	C₂×D₄×C₇₃	—	2	2	no	—
474	C₂×D₄×C₇₃	—	2	2	no	—
475	C₂×D₄×C₇₃	—	2	2	no	—
476	C₂×D₄×C₇₃	—	2	2	no	—
477	C₂×D₄×C₇₃	—	4	1	no	—
478	C₂×D₄×C₇₃	—	4	1	no	—
479	C₂×D₄×C₇₃	—	4	1	no	—
480	C₂×D₄×C₇₃	—	4	1	no	—
481	C₂²×C₄×C₇₃	—	2	2	no	—
482	C₂²×C₄×C₇₃	—	2	2	no	—
483	C₂²×C₄×C₇₃	—	2	2	no	—
484	C₂²×C₄×C₇₃	—	2	2	no	—
485	C₂²×C₄×C₇₃	—	4	1	no	—
486	C₂²×C₄×C₇₃	—	4	1	no	—
487	C₂²×C₄×C₇₃	—	4	1	no	—
488	C₂²×C₄×C₇₃	—	4	1	no	—
489	C₂²×C₄×C₇₃	—	4	1	no	—
490	C₂²×C₄×C₇₃	—	4	1	no	—
491	C₂²×C₄×C₇₃	—	4	1	no	—
492	C₂²×C₄×C₇₃	—	4	1	no	—
493	C₂²×C₄×C₇₃	C₂⁴	1	1	yes	characteristic
494	C₂²×C₄×C₇₃	C₂⁴	1	1	yes	characteristic
495	C₂²×C₄×C₇₃	C₂⁴	1	1	yes	characteristic
496	C₂²×C₄×C₇₃	C₂⁴	1	1	yes	characteristic
497	C₂²×C₄×C₇₃	C₂⁴	1	1	yes	characteristic
498	C₂²×C₄×C₇₃	C₂⁴	1	1	yes	characteristic
499	C₂²×C₄×C₇₃	C₂⁴	1	1	yes	characteristic
500	C₂²×C₄×C₇₃	C₂⁴	1	1	yes	characteristic
501	C₂²×C₄×C₇₃	C₂⁴	1	1	yes	characteristic
502	C₂²×C₄×C₇₃	C₂⁴	1	1	yes	characteristic
503	C₂²×C₄×C₇₃	C₂⁴	1	1	yes	characteristic
504	C₄⋊C₄×C₇₃	—	4	1	no	—
505	C₄⋊C₄×C₇₃	—	4	1	no	—
506	C₄⋊C₄×C₇₃	—	4	1	no	—
507	C₄⋊C₄×C₇₃	—	4	1	no	—
508	C₂²⋊C₄×C₇₃	—	2	2	no	—
509	C₂²⋊C₄×C₇₃	—	2	2	no	—
510	C₂²⋊C₄×C₇₃	—	2	2	no	—
511	C₂²⋊C₄×C₇₃	—	2	2	no	—
512	C₂²⋊C₄×C₇₃	—	2	2	no	—
513	C₂²⋊C₄×C₇₃	—	2	2	no	—
514	C₂²⋊C₄×C₇₃	—	2	2	no	—
515	C₂²⋊C₄×C₇₃	—	2	2	no	—
516	C₂²⋊C₄×C₇₃	—	2	2	no	—
517	C₂²⋊C₄×C₇₃	—	4	1	no	—
518	C₂²⋊C₄×C₇₃	—	4	1	no	—
519	C₂²⋊C₄×C₇₃	—	4	1	no	—
520	C₂²⋊C₄×C₇₃	—	4	1	no	—
521	C₂²⋊C₄×C₇₃	—	4	1	no	—
522	C₂²⋊C₄×C₇₃	—	4	1	no	—
523	C₂³×C₇₃	—	2	1	no	—
524	C₂³×C₇₃	—	2	1	no	—
525	C₂³×C₇₃	—	2	1	no	—
526	C₂³×C₇₃	—	2	1	no	—
527	C₂³×C₇₃	—	2	1	no	—
528	C₂³×C₇₃	—	2	1	no	—
529	C₂³×C₇₃	—	2	1	no	—
530	C₂³×C₇₃	—	2	1	no	—
531	C₂³×C₇₃	—	2	1	no	—
532	C₂³×C₇₃	—	2	1	no	—
533	C₂³×C₇₃	—	2	1	no	—
534	C₂³×C₇₃	—	2	1	no	—
535	C₂³×C₇₃	—	2	1	no	—
536	C₂³×C₇₃	—	2	1	no	—
537	C₂³×C₇₃	—	2	1	no	—
538	C₂³×C₇₃	—	2	1	no	—
539	C₂³×C₇₃	—	2	8	no	—
540	C₂³×C₇₃	—	2	1	no	—
541	C₂³×C₇₃	—	2	1	no	—
542	C₂³×C₇₃	—	2	1	no	—
543	C₂³×C₇₃	—	2	1	no	—
544	C₂³×C₇₃	—	2	1	no	—
545	C₂³×C₇₃	—	2	1	no	—
546	C₂³×C₇₃	—	2	1	no	—
547	C₂³×C₇₃	—	4	4	no	—
548	C₂³×C₇₃	—	4	4	no	—
549	C₂³×C₇₃	—	8	2	no	—
550	C₂³×C₇₃	—	8	2	no	—
551	C₂³×C₇₃	—	8	2	no	—
552	C₂³×C₇₃	—	8	2	no	—
553	C₂³×C₇₃	C₂×#41	1	2	yes	—
554	C₂³×C₇₃	C₂×#41	1	2	yes	—
555	C₂³×C₇₃	C₂×#41	1	2	yes	—
556	C₂³×C₇₃	H(5,𝔽₂)	1	2	yes	—
557	C₂³×C₇₃	2₋¹⁺⁴	1	2	yes	—
558	C₂³×C₇₃	C₂⁵	1	1	yes	characteristic
559	D₄×C₇₃	—	4	4	no	—
560	D₄×C₇₃	—	8	2	no	—
561	D₄×C₇₃	—	8	2	no	—
562	C₂×C₄×C₇₃	—	2	1	no	—
563	C₂×C₄×C₇₃	—	2	1	no	—
564	C₂×C₄×C₇₃	—	2	1	no	—
565	C₂×C₄×C₇₃	—	2	1	no	—
566	C₂×C₄×C₇₃	—	2	1	no	—
567	C₂×C₄×C₇₃	—	2	1	no	—
568	C₂×C₄×C₇₃	—	2	1	no	—
569	C₂×C₄×C₇₃	—	2	1	no	—
570	C₂×C₄×C₇₃	—	2	1	no	—
571	C₂×C₄×C₇₃	—	2	1	no	—
572	C₂×C₄×C₇₃	—	2	1	no	—
573	C₂×C₄×C₇₃	—	2	1	no	—
574	C₂×C₄×C₇₃	—	2	1	no	—
575	C₂×C₄×C₇₃	—	2	1	no	—
576	C₂×C₄×C₇₃	—	2	1	no	—
577	C₂×C₄×C₇₃	—	2	1	no	—
578	C₂×C₄×C₇₃	—	2	1	no	—
579	C₂×C₄×C₇₃	—	2	1	no	—
580	C₂×C₄×C₇₃	—	2	1	no	—
581	C₂×C₄×C₇₃	—	2	1	no	—
582	C₂×C₄×C₇₃	—	2	1	no	—
583	C₂×C₄×C₇₃	—	2	1	no	—
584	C₂×C₄×C₇₃	—	2	1	no	—
585	C₂×C₄×C₇₃	—	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	—	4	4	no	—
596	C₂×C₄×C₇₃	—	4	4	no	—
597	C₂×C₄×C₇₃	—	8	2	no	—
598	C₂×C₄×C₇₃	—	8	2	no	—
599	C₂×Dic₇₃	—	2	1	no	—
600	C₂×Dic₇₃	—	2	1	no	—
601	C₂×Dic₇₃	—	2	1	no	—
602	C₂×Dic₇₃	—	2	1	no	—
603	C₂×Dic₇₃	—	2	1	no	—
604	C₂×Dic₇₃	—	2	1	no	—
605	C₂×Dic₇₃	—	2	1	no	—
606	C₂×Dic₇₃	—	2	1	no	—
607	C₂×Dic₇₃	—	2	1	no	—
608	C₂×Dic₇₃	—	2	1	no	—
609	C₂×Dic₇₃	—	2	1	no	—
610	C₂×Dic₇₃	—	2	1	no	—
611	C₂×Dic₇₃	—	2	1	no	—
612	C₂×Dic₇₃	—	2	1	no	—
613	C₂×Dic₇₃	—	2	1	no	—
614	C₂×Dic₇₃	—	2	1	no	—
615	C₂×Dic₇₃	—	2	1	no	—
616	C₂×Dic₇₃	—	2	1	no	—
617	C₂×Dic₇₃	—	2	1	no	—
618	C₂×Dic₇₃	—	2	1	no	—
619	C₂×Dic₇₃	—	2	1	no	—
620	C₂×Dic₇₃	—	2	1	no	—
621	C₂×Dic₇₃	—	2	1	no	—
622	C₂×Dic₇₃	—	2	1	no	—
623	C₂×Dic₇₃	—	2	1	no	—
624	C₂×Dic₇₃	—	2	1	no	—
625	C₂×Dic₇₃	—	2	1	no	—
626	C₂×Dic₇₃	—	2	1	no	—
627	C₂×Dic₇₃	—	2	1	no	—
628	C₂×Dic₇₃	—	2	1	no	—
629	C₂×Dic₇₃	—	2	1	no	—
630	C₂×Dic₇₃	—	2	1	no	—
631	C₂×Dic₇₃	—	2	1	no	—
632	C₂×Dic₇₃	—	2	1	no	—
633	C₂×Dic₇₃	—	2	1	no	—
634	C₂×Dic₇₃	—	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	—	4	4	no	—
647	C₂×Dic₇₃	—	4	4	no	—
648	C₂×Dic₇₃	—	8	2	no	—
649	C₂×Dic₇₃	—	8	2	no	—
650	C₂×Dic₇₃	—	8	2	no	—
651	C₂×Dic₇₃	—	8	2	no	—
652	C₂×Dic₇₃	—	8	2	no	—
653	C₂×Dic₇₃	H(5,𝔽₂)	1	2	yes	—
654	Dic₁₄₆	—	8	2	no	—
655	C₂²×C₇₃	—	2	2	no	—
656	C₂²×C₇₃	—	2	2	no	—
657	C₂²×C₇₃	—	2	2	no	—
658	C₂²×C₇₃	—	2	2	no	—
659	C₂²×C₇₃	—	2	2	no	—
660	C₂²×C₇₃	—	2	2	no	—
661	C₂²×C₇₃	—	2	2	no	—
662	C₂²×C₇₃	—	2	2	no	—
663	C₂²×C₇₃	—	2	2	no	—
664	C₂²×C₇₃	—	2	2	no	—
665	C₂²×C₇₃	—	2	2	no	—
666	C₂²×C₇₃	—	2	2	no	—
667	C₂²×C₇₃	—	4	1	no	—
668	C₂²×C₇₃	—	4	1	no	—
669	C₂²×C₇₃	—	4	1	no	—
670	C₂²×C₇₃	—	4	1	no	—
671	C₂²×C₇₃	—	4	1	no	—
672	C₂²×C₇₃	—	4	1	no	—
673	C₂²×C₇₃	—	4	1	no	—
674	C₂²×C₇₃	—	4	1	no	—
675	C₂²×C₇₃	—	4	1	no	—
676	C₂²×C₇₃	—	4	1	no	—
677	C₂²×C₇₃	—	4	1	no	—
678	C₂²×C₇₃	—	4	1	no	—
679	C₂²×C₇₃	—	4	1	no	—
680	C₂²×C₇₃	—	4	1	no	—
681	C₂²×C₇₃	—	4	1	no	—
682	C₂²×C₇₃	—	8	8	no	—
683	C₂²×C₇₃	#539	1	4	yes	—
684	C₂²×C₇₃	C₂²×#41	1	1	yes	characteristic
685	C₂²×C₇₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
686	C₂²×C₇₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
687	C₂²×C₇₃	C₂×2₋¹⁺⁴	1	1	yes	characteristic
688	C₂²×C₇₃	#585	1	1	yes	characteristic
689	C₂²×C₇₃	#585	1	1	yes	characteristic
690	C₂²×C₇₃	#585	1	1	yes	characteristic
691	C₄×C₇₃	—	4	1	no	—
692	C₄×C₇₃	—	4	1	no	—
693	C₄×C₇₃	—	4	1	no	—
694	C₄×C₇₃	—	4	1	no	—
695	C₄×C₇₃	—	4	1	no	—
696	C₄×C₇₃	—	4	1	no	—
697	C₄×C₇₃	—	4	1	no	—
698	C₄×C₇₃	—	4	1	no	—
699	C₄×C₇₃	—	4	1	no	—
700	C₄×C₇₃	—	4	1	no	—
701	C₄×C₇₃	—	4	1	no	—
702	Dic₇₃	—	2	2	no	—
703	Dic₇₃	—	4	1	no	—
704	Dic₇₃	—	4	1	no	—
705	Dic₇₃	—	4	1	no	—
706	Dic₇₃	—	4	1	no	—
707	Dic₇₃	—	4	1	no	—
708	Dic₇₃	—	4	1	no	—
709	Dic₇₃	—	4	1	no	—
710	Dic₇₃	—	4	1	no	—
711	Dic₇₃	—	4	1	no	—
712	Dic₇₃	—	4	1	no	—
713	Dic₇₃	—	4	1	no	—
714	Dic₇₃	—	4	1	no	—
715	Dic₇₃	—	4	1	no	—
716	Dic₇₃	—	4	1	no	—
717	Dic₇₃	—	4	1	no	—
718	#36985	—	73	1	no	maximal, Sylow
719	C₂×C₇₃	—	2	4	no	—
720	C₂×C₇₃	—	4	2	no	—
721	C₂×C₇₃	—	4	2	no	—
722	C₂×C₇₃	—	8	1	no	—
723	C₂×C₇₃	C₂×#539	1	1	yes	characteristic
724	C₂×C₇₃	#3491	1	1	yes	characteristic
725	C₂×C₇₃	#3505	1	1	yes	characteristic
726	C₂×C₇₃	#3533	1	1	yes	characteristic
727	C₂×C₇₃	#3534	1	1	yes	characteristic
728	C₂×C₇₃	#3561	1	1	yes	characteristic
729	C₂×C₇₃	#3564	1	1	yes	characteristic
730	#2855	—	73	1	no	—
731	#2853	—	73	1	no	—
732	#2796	—	73	1	no	—
733	#2787	—	73	1	no	—
734	#2787	—	73	1	no	—
735	#2757	—	73	1	no	—
736	#2750	—	73	1	no	—
737	#2747	—	73	1	no	—
738	#2746	—	73	1	no	—
739	#2745	—	73	1	no	—
740	#2740	—	73	1	no	—
741	#2739	—	73	1	no	—
742	#2739	—	73	1	no	—
743	#2738	—	73	1	no	—
744	#2728	—	73	1	no	—
745	#2707	—	73	1	no	—
746	#2690	—	73	1	no	—
747	#2687	—	73	1	no	—
748	#2646	—	73	1	no	—
749	#2643	—	73	1	no	—
750	#2493	—	73	1	no	—
751	#2483	—	73	1	no	—
752	#2473	—	73	1	no	—
753	#2449	—	73	1	no	—
754	#2437	—	73	1	no	—
755	#2419	—	73	1	no	—
756	#2412	—	73	1	no	—
757	#2412	D₇₃	1	1	yes	characteristic
758	#2321	—	73	1	no	—
759	#2315	—	73	1	no	—
760	C₂×#388	—	73	1	no	—
761	C₇₃	#36985	1	1	yes	characteristic, complemented, Sylow
762	C₂×#125	—	73	1	no	—
763	C₂×#123	—	73	1	no	—
764	C₂×#123	C₂×D₇₃	1	1	yes	characteristic
765	C₂×C₂²⋊Q₈	—	73	1	no	—
766	C₂×C₂²⋊Q₈	—	73	1	no	—
767	C₂×C₂²⋊Q₈	—	73	1	no	—
768	C₂×#120	C₂×D₇₃	1	1	yes	characteristic
769	C₂×C₄×D₄	—	73	1	no	—
770	C₂²×C₄⋊C₄	—	73	1	no	—
771	C₂²×C₂²⋊C₄	—	73	1	no	—
772	C₂²×C₂²⋊C₄	—	73	1	no	—
773	C₂²×C₂²⋊C₄	—	73	1	no	—
774	C₂²×C₂²⋊C₄	C₂×D₇₃	1	1	yes	characteristic
775	C₂²×C₂²⋊C₄	C₂×D₇₃	1	1	yes	characteristic
776	C₂²×C₄²	—	73	1	no	—
777	#401	—	73	1	no	—
778	#401	—	73	1	no	—
779	#400	—	73	1	no	—
780	#400	—	73	1	no	—
781	#400	—	73	1	no	—
782	#400	—	73	1	no	—
783	#400	—	73	1	no	—
784	#400	—	73	1	no	—
785	#400	—	73	1	no	—
786	#400	—	73	1	no	—
787	#400	—	73	1	no	—
788	#400	—	73	1	no	—
789	#400	—	73	1	no	—
790	#400	—	73	1	no	—
791	#399	—	73	1	no	—
792	#399	—	73	1	no	—
793	#398	—	73	1	no	—
794	#398	—	73	1	no	—
795	#398	—	73	1	no	—
796	#398	—	73	1	no	—
797	#398	—	73	1	no	—
798	#398	—	73	1	no	—
799	#398	—	73	1	no	—
800	#398	—	73	1	no	—
801	#398	—	73	1	no	—
802	#397	—	73	1	no	—
803	#397	—	73	1	no	—
804	#397	—	73	1	no	—
805	#397	—	73	1	no	—
806	#397	—	73	1	no	—
807	#397	—	73	1	no	—
808	#397	—	73	1	no	—
809	#397	—	73	1	no	—
810	#397	—	73	1	no	—
811	#397	—	73	1	no	—
812	#397	—	73	1	no	—
813	#397	C₂×D₇₃	1	1	yes	characteristic
814	#397	C₂×D₇₃	1	1	yes	characteristic
815	#396	—	73	1	no	—
816	#396	—	73	1	no	—
817	#396	—	73	1	no	—
818	#396	—	73	1	no	—
819	#395	—	73	1	no	—
820	#394	—	73	1	no	—
821	#394	—	73	1	no	—
822	#394	C₂×D₇₃	1	1	yes	characteristic
823	#394	C₂×D₇₃	1	1	yes	characteristic
824	#393	—	73	1	no	—
825	#391	—	73	1	no	—
826	#391	—	73	1	no	—
827	#390	—	73	1	no	—
828	#390	—	73	1	no	—
829	#389	—	73	1	no	—
830	#389	—	73	1	no	—
831	#389	—	73	1	no	—
832	#389	—	73	1	no	—
833	#388	—	73	1	no	—
834	#388	—	73	1	no	—
835	#388	—	73	1	no	—
836	#388	—	73	1	no	—
837	#388	—	73	1	no	—
838	#388	—	73	1	no	—
839	#388	—	73	1	no	—
840	#388	—	73	1	no	—
841	#388	—	73	1	no	—
842	#388	—	73	1	no	—
843	#388	—	73	1	no	—
844	#388	—	73	1	no	—
845	#388	—	73	1	no	—
846	#388	—	73	1	no	—
847	#388	—	73	1	no	—
848	#388	—	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	—	73	1	no	—
861	#387	—	73	1	no	—
862	#387	—	73	1	no	—
863	#387	—	73	1	no	—
864	#387	—	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	—	73	1	no	—
870	#386	—	73	1	no	—
871	#386	C₂×D₇₃	1	1	yes	characteristic
872	#386	C₂×D₇₃	1	1	yes	characteristic
873	#386	C₂×D₇₃	1	1	yes	characteristic
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	—	73	1	no	—
881	#385	—	73	1	no	—
882	#385	—	73	1	no	—
883	#385	—	73	1	no	—
884	#385	—	73	1	no	—
885	#385	—	73	1	no	—
886	#385	—	73	1	no	—
887	#385	—	73	1	no	—
888	#385	—	73	1	no	—
889	#385	—	73	1	no	—
890	#385	—	73	1	no	—
891	#385	—	73	1	no	—
892	#385	—	73	1	no	—
893	#385	—	73	1	no	—
894	#385	C₂×D₇₃	1	1	yes	characteristic
895	#383	—	73	1	no	—
896	#381	—	73	1	no	—
897	#381	—	73	1	no	—
898	#381	—	73	1	no	—
899	#381	—	73	1	no	—
900	#381	—	73	1	no	—
901	#381	—	73	1	no	—
902	#381	C₂×D₇₃	1	1	yes	characteristic
903	#380	—	73	1	no	—
904	#380	—	73	1	no	—
905	#380	—	73	1	no	—
906	#380	—	73	1	no	—
907	#380	—	73	1	no	—
908	#380	—	73	1	no	—
909	#380	—	73	1	no	—
910	#380	—	73	1	no	—
911	#380	C₂×D₇₃	1	1	yes	characteristic
912	#380	C₂×D₇₃	1	1	yes	characteristic
913	#379	—	73	1	no	—
914	C₄×C₂²⋊C₄	—	73	1	no	—
915	C₂×#95	—	73	1	no	—
916	C₂×#95	—	73	1	no	—
917	C₂⁵	C₂²×D₇₃	1	1	yes	characteristic
918	C₂²×Q₈	—	73	1	no	—
919	C₂²×D₄	C₂²×D₇₃	1	1	yes	characteristic
920	C₂²×D₄	C₂²×D₇₃	1	1	yes	characteristic
921	C₂²×D₄	C₂²×D₇₃	1	1	yes	characteristic
922	C₂³×C₄	—	73	1	no	—
923	C₂³×C₄	—	73	1	no	—
924	C₂³×C₄	—	73	1	no	—
925	C₂³×C₄	—	73	1	no	—
926	C₂³×C₄	—	73	1	no	—
927	C₂³×C₄	—	73	1	no	—
928	C₂³×C₄	—	73	1	no	—
929	C₂³×C₄	C₂²×D₇₃	1	1	yes	characteristic
930	C₂³×C₄	C₂²×D₇₃	1	1	yes	characteristic
931	C₂³×C₄	C₂²×D₇₃	1	1	yes	characteristic
932	C₂³×C₄	C₂²×D₇₃	1	1	yes	characteristic
933	#125	—	292	2	no	—
934	#123	—	4	2	no	—
935	#123	—	292	2	no	—
936	C₂²⋊Q₈	—	292	2	no	—
937	C₂²⋊Q₈	—	292	2	no	—
938	C₂²⋊Q₈	—	292	2	no	—
939	#120	—	2	4	no	—
940	C₄×D₄	—	292	2	no	—
941	C₂×C₄⋊C₄	—	292	2	no	—
942	C₂×C₄⋊C₄	—	73	1	no	—
943	C₂×C₄⋊C₄	—	73	1	no	—
944	C₂×C₄⋊C₄	—	73	1	no	—
945	C₂×C₄⋊C₄	—	73	1	no	—
946	C₂×C₄⋊C₄	—	73	1	no	—
947	C₂×C₄⋊C₄	—	73	1	no	—
948	C₂×C₄⋊C₄	—	73	1	no	—
949	C₂×C₄⋊C₄	—	73	1	no	—
950	C₂×C₄⋊C₄	—	73	1	no	—
951	C₂×C₄⋊C₄	—	73	1	no	—
952	C₂×C₄⋊C₄	—	73	1	no	—
953	C₂×C₄⋊C₄	—	73	1	no	—
954	C₂×C₄⋊C₄	—	73	1	no	—
955	C₂×C₄⋊C₄	—	73	1	no	—
956	C₂×C₄⋊C₄	—	73	1	no	—
957	C₂×C₄⋊C₄	—	73	1	no	—
958	C₂×C₄⋊C₄	—	73	1	no	—
959	C₂×C₄⋊C₄	—	73	1	no	—
960	C₂×C₄⋊C₄	—	73	1	no	—
961	C₂×C₄⋊C₄	—	73	1	no	—
962	C₂×C₄⋊C₄	—	73	1	no	—
963	C₂×C₄⋊C₄	—	73	1	no	—
964	C₂×C₄⋊C₄	—	73	1	no	—
965	C₂×C₄⋊C₄	—	73	1	no	—
966	C₂×C₄⋊C₄	—	73	1	no	—
967	C₂×C₄⋊C₄	—	73	1	no	—
968	C₂×C₄⋊C₄	—	73	1	no	—
969	C₂×C₄⋊C₄	—	73	1	no	—
970	C₂×C₄⋊C₄	—	73	1	no	—
971	C₂×C₄⋊C₄	—	73	1	no	—
972	C₂×C₄⋊C₄	—	73	1	no	—
973	C₂×C₄⋊C₄	—	73	1	no	—
974	C₂×C₄⋊C₄	C₂²×D₇₃	1	1	yes	characteristic
975	C₂×C₄⋊C₄	C₂²×D₇₃	1	1	yes	characteristic
976	C₂×C₄⋊C₄	C₂²×D₇₃	1	1	yes	characteristic
977	C₂×C₄⋊C₄	C₂²×D₇₃	1	1	yes	characteristic
978	C₂×C₂²⋊C₄	—	2	4	no	—
979	C₂×C₂²⋊C₄	—	4	2	no	—
980	C₂×C₂²⋊C₄	—	292	2	no	—
981	C₂×C₂²⋊C₄	—	292	2	no	—
982	C₂×C₂²⋊C₄	—	73	1	no	—
983	C₂×C₂²⋊C₄	—	73	1	no	—
984	C₂×C₂²⋊C₄	—	73	1	no	—
985	C₂×C₂²⋊C₄	—	73	1	no	—
986	C₂×C₂²⋊C₄	—	73	1	no	—
987	C₂×C₂²⋊C₄	—	73	1	no	—
988	C₂×C₂²⋊C₄	—	73	1	no	—
989	C₂×C₂²⋊C₄	—	73	1	no	—
990	C₂×C₂²⋊C₄	—	73	1	no	—
991	C₂×C₂²⋊C₄	—	73	1	no	—
992	C₂×C₂²⋊C₄	—	73	1	no	—
993	C₂×C₂²⋊C₄	—	73	1	no	—
994	C₂×C₂²⋊C₄	—	73	1	no	—
995	C₂×C₂²⋊C₄	—	73	1	no	—
996	C₂×C₂²⋊C₄	—	73	1	no	—
997	C₂×C₂²⋊C₄	—	73	1	no	—
998	C₂×C₂²⋊C₄	—	73	1	no	—
999	C₂×C₂²⋊C₄	—	73	1	no	—
1000	C₂×C₂²⋊C₄	—	73	1	no	—
1001	C₂×C₂²⋊C₄	—	73	1	no	—
1002	C₂×C₂²⋊C₄	—	73	1	no	—
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	—	146	4	no	—
1008	C₂×C₂²⋊C₄	C₂²×D₇₃	1	1	yes	characteristic
1009	C₂×C₂²⋊C₄	C₂²×D₇₃	1	1	yes	characteristic
1010	C₂×C₂²⋊C₄	C₂²×D₇₃	1	1	yes	characteristic
1011	C₂×C₂²⋊C₄	C₂²×D₇₃	1	1	yes	characteristic
1012	C₂×C₂²⋊C₄	C₂²×D₇₃	1	1	yes	characteristic
1013	C₂×C₂²⋊C₄	C₂²×D₇₃	1	1	yes	characteristic
1014	C₂×C₂²⋊C₄	C₂²×D₇₃	1	1	yes	characteristic
1015	C₂×C₂²⋊C₄	C₂²×D₇₃	1	1	yes	characteristic
1016	C₂×C₂²⋊C₄	C₂²×D₇₃	1	1	yes	characteristic
1017	C₂×C₂²⋊C₄	C₂²×D₇₃	1	1	yes	characteristic
1018	C₂×C₂²⋊C₄	C₂²×D₇₃	1	1	yes	characteristic
1019	C₂×C₂²⋊C₄	C₂²×D₇₃	1	1	yes	characteristic
1020	C₂×C₂²⋊C₄	C₂²×D₇₃	1	1	yes	characteristic
1021	C₂×C₂²⋊C₄	C₂²×D₇₃	1	1	yes	characteristic
1022	C₂×C₂²⋊C₄	C₂²×D₇₃	1	1	yes	characteristic
1023	C₂×C₄²	—	292	2	no	—
1024	C₂×C₄²	—	73	1	no	—
1025	C₂×C₄²	—	73	1	no	—
1026	C₂×C₄²	—	73	1	no	—
1027	C₂×C₄²	—	73	1	no	—
1028	C₂×C₄²	—	73	1	no	—
1029	C₂×C₄²	—	73	1	no	—
1030	C₂×C₄²	—	73	1	no	—
1031	#95	—	73	1	no	—
1032	#95	—	73	1	no	—
1033	#95	—	73	1	no	—
1034	#95	—	73	1	no	—
1035	#95	—	73	1	no	—
1036	#95	—	73	1	no	—
1037	#95	—	73	1	no	—
1038	#95	—	73	1	no	—
1039	#95	—	73	1	no	—
1040	#95	—	73	1	no	—
1041	#95	—	73	1	no	—
1042	#95	—	73	1	no	—
1043	#95	—	73	1	no	—
1044	#95	—	73	1	no	—
1045	#95	—	73	1	no	—
1046	#95	—	73	1	no	—
1047	#95	—	73	1	no	—
1048	#95	—	73	1	no	—
1049	#95	—	73	1	no	—
1050	#95	—	73	1	no	—
1051	#95	—	73	1	no	—
1052	#95	—	73	1	no	—
1053	#95	—	73	1	no	—
1054	#95	—	73	1	no	—
1055	#95	—	73	1	no	—
1056	#95	—	73	1	no	—
1057	#95	—	73	1	no	—
1058	#95	—	73	1	no	—
1059	#95	—	73	1	no	—
1060	#95	—	73	1	no	—
1061	#95	—	73	1	no	—
1062	#95	—	73	1	no	—
1063	#95	—	73	1	no	—
1064	#95	—	73	1	no	—
1065	#95	—	73	1	no	—
1066	#95	—	73	1	no	—
1067	#95	—	73	1	no	—
1068	#95	—	73	1	no	—
1069	#95	—	73	1	no	—
1070	#95	—	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	C₂²×D₇₃	1	1	yes	characteristic
1080	#95	C₂²×D₇₃	1	1	yes	characteristic
1081	#95	C₂²×D₇₃	1	1	yes	characteristic
1082	#95	C₂²×D₇₃	1	1	yes	characteristic
1083	#95	C₂²×D₇₃	1	1	yes	characteristic
1084	#95	C₂²×D₇₃	1	1	yes	characteristic
1085	#95	C₂²×D₇₃	1	1	yes	characteristic
1086	#95	C₂²×D₇₃	1	1	yes	characteristic
1087	C₂⁴	—	2	2	no	—
1088	C₂⁴	—	2	2	no	—
1089	C₂⁴	—	4	1	no	—
1090	C₂⁴	—	4	1	no	—
1091	C₂⁴	—	4	1	no	—
1092	C₂⁴	—	4	1	no	—
1093	C₂⁴	#11924027	1	4	yes	—
1094	C₂⁴	C₂³×D₇₃	1	1	yes	characteristic
1095	C₂⁴	C₂³×D₇₃	1	1	yes	characteristic
1096	C₂⁴	C₂³×D₇₃	1	1	yes	characteristic
1097	C₂⁴	C₂³×D₇₃	1	1	yes	characteristic
1098	C₂×Q₈	—	292	1	no	—
1099	C₂×Q₈	—	292	1	no	—
1100	C₂×Q₈	—	146	2	no	—
1101	C₂×D₄	—	2	2	no	—
1102	C₂×D₄	—	2	2	no	—
1103	C₂×D₄	—	2	2	no	—
1104	C₂×D₄	—	2	2	no	—
1105	C₂×D₄	—	2	2	no	—
1106	C₂×D₄	—	4	1	no	—
1107	C₂×D₄	—	4	1	no	—
1108	C₂×D₄	—	4	1	no	—
1109	C₂×D₄	—	4	1	no	—
1110	C₂²×C₄	—	2	2	no	—
1111	C₂²×C₄	—	2	2	no	—
1112	C₂²×C₄	—	2	2	no	—
1113	C₂²×C₄	—	2	2	no	—
1114	C₂²×C₄	—	4	1	no	—
1115	C₂²×C₄	—	4	1	no	—
1116	C₂²×C₄	—	4	1	no	—
1117	C₂²×C₄	—	4	1	no	—
1118	C₂²×C₄	—	4	1	no	—
1119	C₂²×C₄	—	4	1	no	—
1120	C₂²×C₄	—	4	1	no	—
1121	C₂²×C₄	—	4	1	no	—
1122	C₂²×C₄	—	292	1	no	—
1123	C₂²×C₄	—	292	1	no	—
1124	C₂²×C₄	—	292	1	no	—
1125	C₂²×C₄	—	292	1	no	—
1126	C₂²×C₄	—	292	1	no	—
1127	C₂²×C₄	—	292	1	no	—
1128	C₂²×C₄	—	292	1	no	—
1129	C₂²×C₄	—	292	1	no	—
1130	C₂²×C₄	—	292	1	no	—
1131	C₂²×C₄	—	292	1	no	—
1132	C₂²×C₄	—	292	1	no	—
1133	C₂²×C₄	—	292	1	no	—
1134	C₂²×C₄	—	292	1	no	—
1135	C₂²×C₄	—	292	1	no	—
1136	C₂²×C₄	—	73	1	no	—
1137	C₂²×C₄	—	73	1	no	—
1138	C₂²×C₄	—	73	1	no	—
1139	C₂²×C₄	—	73	1	no	—
1140	C₂²×C₄	—	73	1	no	—
1141	C₂²×C₄	—	73	1	no	—
1142	C₂²×C₄	—	73	1	no	—
1143	C₂²×C₄	—	73	1	no	—
1144	C₂²×C₄	—	73	1	no	—
1145	C₂²×C₄	—	73	1	no	—
1146	C₂²×C₄	—	73	1	no	—
1147	C₂²×C₄	—	73	1	no	—
1148	C₂²×C₄	—	73	1	no	—
1149	C₂²×C₄	—	73	1	no	—
1150	C₂²×C₄	—	73	1	no	—
1151	C₂²×C₄	—	73	1	no	—
1152	C₂²×C₄	—	146	2	no	—
1153	C₂²×C₄	—	146	2	no	—
1154	C₂²×C₄	—	146	2	no	—
1155	C₂²×C₄	—	146	2	no	—
1156	C₂²×C₄	—	146	2	no	—
1157	C₂²×C₄	—	146	2	no	—
1158	C₂²×C₄	—	146	2	no	—
1159	C₂²×C₄	C₂³×D₇₃	1	1	yes	characteristic
1160	C₂²×C₄	C₂³×D₇₃	1	1	yes	characteristic
1161	C₂²×C₄	C₂³×D₇₃	1	1	yes	characteristic
1162	C₂²×C₄	C₂³×D₇₃	1	1	yes	characteristic
1163	C₂²×C₄	C₂³×D₇₃	1	1	yes	characteristic
1164	C₂²×C₄	C₂³×D₇₃	1	1	yes	characteristic
1165	C₂²×C₄	C₂³×D₇₃	1	1	yes	characteristic
1166	C₂²×C₄	C₂³×D₇₃	1	1	yes	characteristic
1167	C₂²×C₄	C₂³×D₇₃	1	1	yes	characteristic
1168	C₂²×C₄	C₂³×D₇₃	1	1	yes	characteristic
1169	C₂²×C₄	C₂³×D₇₃	1	1	yes	characteristic
1170	C₄⋊C₄	—	4	1	no	—
1171	C₄⋊C₄	—	4	1	no	—
1172	C₄⋊C₄	—	4	1	no	—
1173	C₄⋊C₄	—	4	1	no	—
1174	C₄⋊C₄	—	292	1	no	—
1175	C₄⋊C₄	—	292	1	no	—
1176	C₄⋊C₄	—	292	1	no	—
1177	C₄⋊C₄	—	292	1	no	—
1178	C₄⋊C₄	—	292	1	no	—
1179	C₄⋊C₄	—	292	1	no	—
1180	C₄⋊C₄	—	292	1	no	—
1181	C₄⋊C₄	—	292	1	no	—
1182	C₄⋊C₄	—	292	1	no	—
1183	C₄⋊C₄	—	292	1	no	—
1184	C₄⋊C₄	—	292	1	no	—
1185	C₄⋊C₄	—	292	1	no	—
1186	C₄⋊C₄	—	292	1	no	—
1187	C₄⋊C₄	—	292	1	no	—
1188	C₄⋊C₄	—	292	1	no	—
1189	C₄⋊C₄	—	292	1	no	—
1190	C₄⋊C₄	—	292	1	no	—
1191	C₄⋊C₄	—	292	1	no	—
1192	C₄⋊C₄	—	292	1	no	—
1193	C₄⋊C₄	—	292	1	no	—
1194	C₄⋊C₄	—	292	1	no	—
1195	C₄⋊C₄	—	292	1	no	—
1196	C₄⋊C₄	—	292	1	no	—
1197	C₄⋊C₄	—	292	1	no	—
1198	C₄⋊C₄	—	292	1	no	—
1199	C₄⋊C₄	—	292	1	no	—
1200	C₄⋊C₄	—	292	1	no	—
1201	C₄⋊C₄	—	292	1	no	—
1202	C₄⋊C₄	—	146	2	no	—
1203	C₄⋊C₄	—	146	2	no	—
1204	C₄⋊C₄	—	146	2	no	—
1205	C₄⋊C₄	—	146	2	no	—
1206	C₂²⋊C₄	—	2	2	no	—
1207	C₂²⋊C₄	—	2	2	no	—
1208	C₂²⋊C₄	—	2	2	no	—
1209	C₂²⋊C₄	—	2	2	no	—
1210	C₂²⋊C₄	—	2	2	no	—
1211	C₂²⋊C₄	—	2	2	no	—
1212	C₂²⋊C₄	—	2	2	no	—
1213	C₂²⋊C₄	—	2	2	no	—
1214	C₂²⋊C₄	—	2	2	no	—
1215	C₂²⋊C₄	—	4	1	no	—
1216	C₂²⋊C₄	—	4	1	no	—
1217	C₂²⋊C₄	—	4	1	no	—
1218	C₂²⋊C₄	—	4	1	no	—
1219	C₂²⋊C₄	—	4	1	no	—
1220	C₂²⋊C₄	—	4	1	no	—
1221	C₂²⋊C₄	—	292	1	no	—
1222	C₂²⋊C₄	—	292	1	no	—
1223	C₂²⋊C₄	—	292	1	no	—
1224	C₂²⋊C₄	—	292	1	no	—
1225	C₂²⋊C₄	—	292	1	no	—
1226	C₂²⋊C₄	—	292	1	no	—
1227	C₂²⋊C₄	—	292	1	no	—
1228	C₂²⋊C₄	—	292	1	no	—
1229	C₂²⋊C₄	—	292	1	no	—
1230	C₂²⋊C₄	—	292	1	no	—
1231	C₂²⋊C₄	—	292	1	no	—
1232	C₂²⋊C₄	—	292	1	no	—
1233	C₂²⋊C₄	—	292	1	no	—
1234	C₂²⋊C₄	—	292	1	no	—
1235	C₂²⋊C₄	—	292	1	no	—
1236	C₂²⋊C₄	—	292	1	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	C₄²	—	292	1	no	—
1247	C₄²	—	292	1	no	—
1248	C₄²	—	292	1	no	—
1249	C₄²	—	292	1	no	—
1250	C₄²	—	292	1	no	—
1251	C₄²	—	292	1	no	—
1252	C₄²	—	292	1	no	—
1253	C₂³	—	2	1	no	—
1254	C₂³	—	2	1	no	—
1255	C₂³	—	2	1	no	—
1256	C₂³	—	2	1	no	—
1257	C₂³	—	2	1	no	—
1258	C₂³	—	2	1	no	—
1259	C₂³	—	2	1	no	—
1260	C₂³	—	2	1	no	—
1261	C₂³	—	2	1	no	—
1262	C₂³	—	2	1	no	—
1263	C₂³	—	2	1	no	—
1264	C₂³	—	2	1	no	—
1265	C₂³	—	2	1	no	—
1266	C₂³	—	2	1	no	—
1267	C₂³	—	2	1	no	—
1268	C₂³	—	2	1	no	—
1269	C₂³	—	2	8	no	—
1270	C₂³	—	2	1	no	—
1271	C₂³	—	2	1	no	—
1272	C₂³	—	2	1	no	—
1273	C₂³	—	2	1	no	—
1274	C₂³	—	2	1	no	—
1275	C₂³	—	2	1	no	—
1276	C₂³	—	2	1	no	—
1277	C₂³	—	4	4	no	—
1278	C₂³	—	4	4	no	—
1279	C₂³	—	8	2	no	—
1280	C₂³	—	8	2	no	—
1281	C₂³	—	8	2	no	—
1282	C₂³	—	8	2	no	—
1283	C₂³	C₂×#11924027	1	2	yes	—
1284	C₂³	C₂×#11924027	1	2	yes	—
1285	C₂³	C₂×#11924027	1	2	yes	—
1286	C₂³	#14556636	1	2	yes	—
1287	C₂³	#14556638	1	2	yes	—
1288	C₂³	C₂⁴×D₇₃	1	1	yes	characteristic
1289	Q₈	—	584	2	no	—
1290	D₄	—	4	4	no	—
1291	D₄	—	8	2	no	—
1292	D₄	—	8	2	no	—
1293	C₂×C₄	—	2	1	no	—
1294	C₂×C₄	—	2	1	no	—
1295	C₂×C₄	—	2	1	no	—
1296	C₂×C₄	—	2	1	no	—
1297	C₂×C₄	—	2	1	no	—
1298	C₂×C₄	—	2	1	no	—
1299	C₂×C₄	—	2	1	no	—
1300	C₂×C₄	—	2	1	no	—
1301	C₂×C₄	—	2	1	no	—
1302	C₂×C₄	—	2	1	no	—
1303	C₂×C₄	—	2	1	no	—
1304	C₂×C₄	—	2	1	no	—
1305	C₂×C₄	—	2	1	no	—
1306	C₂×C₄	—	2	1	no	—
1307	C₂×C₄	—	2	1	no	—
1308	C₂×C₄	—	2	1	no	—
1309	C₂×C₄	—	2	1	no	—
1310	C₂×C₄	—	2	1	no	—
1311	C₂×C₄	—	2	1	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	1	no	—
1325	C₂×C₄	—	2	1	no	—
1326	C₂×C₄	—	4	4	no	—
1327	C₂×C₄	—	4	4	no	—
1328	C₂×C₄	—	8	2	no	—
1329	C₂×C₄	—	8	2	no	—
1330	C₂×C₄	—	292	4	no	—
1331	C₂×C₄	—	292	4	no	—
1332	C₂×C₄	—	584	2	no	—
1333	C₂×C₄	—	584	2	no	—
1334	C₂×C₄	—	584	2	no	—
1335	C₂×C₄	—	584	2	no	—
1336	C₂×C₄	—	584	2	no	—
1337	C₂×C₄	—	73	2	no	—
1338	C₂×C₄	—	146	1	no	—
1339	C₂×C₄	—	146	1	no	—
1340	C₂×C₄	—	146	1	no	—
1341	C₂×C₄	—	146	1	no	—
1342	C₂×C₄	—	146	1	no	—
1343	C₂×C₄	—	146	1	no	—
1344	C₂×C₄	—	146	1	no	—
1345	C₂×C₄	—	146	1	no	—
1346	C₂×C₄	—	146	1	no	—
1347	C₂×C₄	—	146	1	no	—
1348	C₂×C₄	—	146	1	no	—
1349	C₂×C₄	—	146	1	no	—
1350	C₂×C₄	—	146	1	no	—
1351	C₂×C₄	—	146	1	no	—
1352	C₂×C₄	—	146	1	no	—
1353	C₂×C₄	—	146	1	no	—
1354	C₂×C₄	—	146	1	no	—
1355	C₂×C₄	—	146	1	no	—
1356	C₂×C₄	—	146	1	no	—
1357	C₂×C₄	—	146	1	no	—
1358	C₂×C₄	—	146	1	no	—
1359	C₂×C₄	—	146	1	no	—
1360	C₂×C₄	—	146	1	no	—
1361	C₂×C₄	—	146	1	no	—
1362	C₂×C₄	—	146	1	no	—
1363	C₂×C₄	—	146	1	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	C₂²	—	2	2	no	—
1386	C₂²	—	2	2	no	—
1387	C₂²	—	2	2	no	—
1388	C₂²	—	2	2	no	—
1389	C₂²	—	2	2	no	—
1390	C₂²	—	2	2	no	—
1391	C₂²	—	2	2	no	—
1392	C₂²	—	2	2	no	—
1393	C₂²	—	2	2	no	—
1394	C₂²	—	2	2	no	—
1395	C₂²	—	2	2	no	—
1396	C₂²	—	2	2	no	—
1397	C₂²	—	4	1	no	—
1398	C₂²	—	4	1	no	—
1399	C₂²	—	4	1	no	—
1400	C₂²	—	4	1	no	—
1401	C₂²	—	4	1	no	—
1402	C₂²	—	4	1	no	—
1403	C₂²	—	4	1	no	—
1404	C₂²	—	4	1	no	—
1405	C₂²	—	4	1	no	—
1406	C₂²	—	4	1	no	—
1407	C₂²	—	4	1	no	—
1408	C₂²	—	4	1	no	—
1409	C₂²	—	4	1	no	—
1410	C₂²	—	4	1	no	—
1411	C₂²	—	4	1	no	—
1412	C₂²	—	8	8	no	—
1413	C₂²	#17989182	1	4	yes	—
1414	C₂²	C₂²×#11924027	1	1	yes	characteristic
1415	C₂²	H(5,𝔽₂)×D₇₃	1	1	yes	characteristic
1416	C₂²	C₂×#14556636	1	1	yes	characteristic
1417	C₂²	C₂×#14556638	1	1	yes	characteristic
1418	C₂²	#17989422	1	1	yes	characteristic
1419	C₂²	#17989423	1	1	yes	characteristic
1420	C₂²	#17989423	1	1	yes	characteristic
1421	C₄	—	4	1	no	—
1422	C₄	—	4	1	no	—
1423	C₄	—	4	1	no	—
1424	C₄	—	4	1	no	—
1425	C₄	—	4	1	no	—
1426	C₄	—	4	1	no	—
1427	C₄	—	4	1	no	—
1428	C₄	—	4	1	no	—
1429	C₄	—	4	1	no	—
1430	C₄	—	4	1	no	—
1431	C₄	—	4	1	no	—
1432	C₄	—	292	1	no	—
1433	C₄	—	292	1	no	—
1434	C₄	—	292	1	no	—
1435	C₄	—	292	1	no	—
1436	C₄	—	292	1	no	—
1437	C₄	—	292	1	no	—
1438	C₄	—	292	1	no	—
1439	C₄	—	292	1	no	—
1440	C₄	—	292	1	no	—
1441	C₄	—	292	1	no	—
1442	C₄	—	292	1	no	—
1443	C₄	—	292	1	no	—
1444	C₄	—	292	1	no	—
1445	C₄	—	292	1	no	—
1446	C₄	—	292	1	no	—
1447	C₄	—	146	2	no	—
1448	C₂	—	2	4	no	—
1449	C₂	—	4	2	no	—
1450	C₂	—	4	2	no	—
1451	C₂	—	8	1	no	—
1452	C₂	C₂×#17989182	1	1	yes	characteristic
1453	C₂	#22623627	1	1	yes	characteristic
1454	C₂	#22623768	1	1	yes	characteristic
1455	C₂	#22624090	1	1	yes	characteristic
1456	C₂	#22624113	1	1	yes	characteristic
1457	C₂	#22624489	1	1	yes	characteristic
1458	C₂	#22624543	1	1	yes	characteristic

	subgroup	G/H
center, Frattini	C₂³	C₂⁴×D₇₃
commutator, socle, cosocle	C₂³×C₇₃	C₂⁵
Fitting	C₇₃×#2412	C₂
prime radical	C₂×#120×C₇₃	C₂²
hypercenter	#2412	D₇₃
hypocenter	C₇₃	#36985
LCS	G ▷ C₂³×C₇₃ ▷ C₇₃
UCS	C₁ ◁ C₂³ ◁ #2412

Complements

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

N	H ≅ G/N	type
1. #22618268	C₂	semidirect
2. #22618250	C₂	semidirect
3. #22617773	C₂	semidirect
4. #22617658	C₂	semidirect
5. #22617658	C₂	semidirect
6. #22617262	C₂	semidirect
7. #22617163	C₂	semidirect
8. #22617130	C₂	semidirect
9. #22617117	C₂	semidirect
10. #22617102	C₂	semidirect
11. #22617033	C₂	semidirect
12. #22617018	C₂	semidirect
13. #22617018	C₂	semidirect
14. #22617003	C₂	semidirect
15. #22616902	C₂	semidirect
16. #22616641	C₂	semidirect
17. #22616397	C₂	semidirect
18. #22616358	C₂	semidirect
19. #22615903	C₂	semidirect
20. #22615886	C₂	semidirect
21. #22614320	C₂	semidirect
22. #22614209	C₂	semidirect
23. #22614069	C₂	semidirect
24. #22613746	C₂	semidirect
25. #22613592	C₂	semidirect
26. #22613404	C₂	semidirect
29. #22612543	C₂	semidirect
30. C₂×#17988480	C₂	semidirect
32. C₂×#14556581	C₂²	semidirect
36. C₂×#14556568	C₂²	semidirect
43. C₇₃⋊#401	C₂²	semidirect
44. C₇₃⋊#401	C₂²	semidirect
45. #17988529	C₂²	semidirect
46. #17988529	C₂²	semidirect
47. #17988528	C₂²	semidirect
48. #17988528	C₂²	semidirect
49. #17988528	C₂²	semidirect
50. #17988528	C₂²	semidirect
51. #17988527	C₂²	semidirect
52. #17988527	C₂²	semidirect
53. #17988527	C₂²	semidirect
54. #17988527	C₂²	semidirect
55. #17988526	C₂²	semidirect
56. #17988525	C₂²	semidirect
58. #17988523	C₂²	semidirect
59. #17988521	C₂²	semidirect
60. #17988521	C₂²	semidirect
61. #17988520	C₂²	semidirect
62. #17988520	C₂²	semidirect
63. #17988519	C₂²	semidirect
64. #17988518	C₂²	semidirect
65. #17988517	C₂²	semidirect
66. #17988517	C₂²	semidirect
67. #17988517	C₂²	semidirect
74. #17988515	C₂²	semidirect
75. #17988515	C₂²	semidirect
76. #17988515	C₂²	semidirect
77. #17988515	C₂²	semidirect
78. #17988512	C₂²	semidirect
81. #17988510	C₂²	semidirect
82. #17988510	C₂²	semidirect
83. #17988508	C₂²	semidirect
87. #17988491	C₂²	semidirect
88. #17988491	C₂²	semidirect
91. #17988484	C₂²	semidirect
92. #17988484	C₂²	semidirect
93. #17988484	C₂²	semidirect
94. #17988484	C₂²	semidirect
107. #17988475	C₂²	semidirect
108. #17988475	C₂²	semidirect
109. #17988475	C₂²	semidirect
110. #17988475	C₂²	semidirect
111. #17988474	C₂²	semidirect
112. #17988474	C₂²	semidirect
113. #17988474	C₂²	semidirect
114. #17988473	C₂²	semidirect
115. #17988472	C₂²	semidirect
116. #17988472	C₂²	semidirect
117. #17988470	C₂²	semidirect
118. #17988470	C₂²	semidirect
119. #17988470	C₂²	semidirect
120. #17988469	C₂²	semidirect
121. #17988468	C₂²	semidirect
122. #17988468	C₂²	semidirect
123. #17988468	C₂²	semidirect
124. #17988468	C₂²	semidirect
125. #17988468	C₂²	semidirect
126. #17988468	C₂²	semidirect
135. #17988462	C₂²	semidirect
152. #17988459	C₂²	semidirect
153. #17988454	C₂²	semidirect
159. #17988448	C₂²	semidirect
761. C₇₃	#36985	semidirect

Maximal subgroups

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

subgroup	index
#22618268	2
#22618250	2
#22617773	2
#22617658	2
#22617262	2
#22617163	2
#22617130	2
#22617117	2
#22617102	2
#22617033	2
#22617018	2
#22617003	2
#22616902	2
#22616641	2
#22616397	2
#22616358	2
#22615903	2
#22615886	2
#22614320	2
#22614209	2
#22614069	2
#22613746	2
#22613592	2
#22613404	2
#22613328	2
#22612592	2
#22612543	2
C₂×#17988480	2
C₇₃×#2412	2
#36985	73