Subgroups — #33300075

Order 18688.

1410 conjugacy classes of subgroups.

The subgroup lattice has 1290 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#22618270	C₂	1	1	yes	maximal, characteristic, complemented
2	#22617493	C₂	1	1	yes	maximal, characteristic, complemented
3	#22617478	C₂	1	1	yes	maximal, characteristic, complemented
4	#22617366	C₂	1	1	yes	maximal, characteristic, complemented
5	#22617352	C₂	1	1	yes	maximal, characteristic, complemented
6	#22617347	C₂	1	1	yes	maximal, characteristic, complemented
7	#22617337	C₂	1	1	yes	maximal, characteristic, complemented
8	#22617302	C₂	1	1	yes	maximal, characteristic, complemented
9	#22617287	C₂	1	1	yes	maximal, characteristic, complemented
10	#22617278	C₂	1	1	yes	maximal, characteristic, complemented
11	#22617184	C₂	1	1	yes	maximal, characteristic
12	#22617169	C₂	1	1	yes	maximal, characteristic
13	#22617104	C₂	1	1	yes	maximal, characteristic, complemented
14	#22617074	C₂	1	1	yes	maximal, characteristic
15	#22617020	C₂	1	1	yes	maximal, characteristic, complemented
16	#22616995	C₂	1	1	yes	maximal, characteristic, complemented
17	#22616990	C₂	1	1	yes	maximal, characteristic
18	#22616103	C₂	1	1	yes	maximal, characteristic, complemented
19	#22616081	C₂	1	1	yes	maximal, characteristic
20	#22615466	C₂	1	1	yes	maximal, characteristic, complemented
21	#22615366	C₂	1	1	yes	maximal, characteristic, complemented
22	#22615364	C₂	1	1	yes	maximal, characteristic, complemented
23	#22615247	C₂	1	1	yes	maximal, characteristic, complemented
24	#22614805	C₂	1	1	yes	maximal, characteristic, complemented
25	#22614792	C₂	1	1	yes	maximal, characteristic, complemented
26	#22614732	C₂	1	1	yes	maximal, characteristic, complemented
27	#22614715	C₂	1	1	yes	maximal, characteristic, complemented
28	#22612725	C₂	1	1	yes	maximal, characteristic
29	#22612684	C₂	1	1	yes	maximal, characteristic, complemented
30	#22612329	C₂	1	1	yes	maximal, characteristic, complemented
31	C₇₃×#2853	C₂	1	1	yes	maximal, characteristic
32	C₂×#14556570	C₂²	1	1	yes	characteristic
33	C₇₃⋊#401	C₂²	1	1	yes	characteristic
34	C₇₃⋊#401	C₂²	1	1	yes	characteristic
35	#17988529	C₂²	1	1	yes	characteristic
36	#17988529	C₂²	1	1	yes	characteristic
37	#17988529	C₂²	1	1	yes	characteristic
38	#17988529	C₂²	1	1	yes	characteristic
39	#17988529	C₂²	1	1	yes	characteristic
40	#17988529	C₂²	1	1	yes	characteristic
41	#17988528	C₂²	1	1	yes	characteristic
42	#17988528	C₂²	1	1	yes	characteristic
43	#17988528	C₂²	1	1	yes	characteristic
44	#17988528	C₂²	1	1	yes	characteristic
45	#17988527	C₂²	1	1	yes	characteristic
46	#17988527	C₂²	1	1	yes	characteristic
47	#17988527	C₂²	1	1	yes	characteristic
48	#17988526	C₂²	1	1	yes	characteristic
49	#17988526	C₂²	1	1	yes	characteristic
50	#17988526	C₂²	1	1	yes	characteristic
51	#17988526	C₂²	1	1	yes	characteristic
52	#17988525	C₂²	1	1	yes	characteristic
53	#17988523	C₂²	1	1	yes	characteristic
54	#17988523	C₂²	1	1	yes	characteristic
55	#17988521	C₂²	1	1	yes	characteristic
56	#17988520	C₂²	1	1	yes	characteristic
57	#17988518	C₂²	1	1	yes	characteristic
58	#17988518	C₂²	1	1	yes	characteristic
59	#17988517	C₂²	1	1	yes	characteristic
60	#17988515	C₂²	1	1	yes	characteristic
61	#17988515	C₂²	1	1	yes	characteristic
62	#17988515	C₂²	1	1	yes	characteristic
63	#17988515	C₂²	1	1	yes	characteristic
64	#17988515	C₂²	1	1	yes	characteristic
65	#17988512	C₂²	1	1	yes	characteristic
66	#17988512	C₂²	1	1	yes	characteristic
67	#17988510	C₂²	1	1	yes	characteristic
68	#17988510	C₂²	1	1	yes	characteristic
69	#17988508	C₂²	1	1	yes	characteristic
70	#17988508	C₂²	1	1	yes	characteristic
71	#17988508	C₂²	1	1	yes	characteristic
72	#17988508	C₂²	1	1	yes	characteristic
73	#17988507	C₂²	1	1	yes	characteristic
74	#17988501	C₂²	1	1	yes	characteristic
75	#17988501	C₂²	1	1	yes	characteristic
76	#17988499	C₂²	1	1	yes	characteristic
77	#17988499	C₂²	1	1	yes	characteristic
78	#17988499	C₂²	1	1	yes	characteristic
79	#17988499	C₂²	1	1	yes	characteristic
80	#17988499	C₂²	1	1	yes	characteristic
81	#17988493	C₂²	1	1	yes	characteristic
82	#17988493	C₂²	1	1	yes	characteristic
83	#17988492	C₂²	1	1	yes	characteristic
84	#17988492	C₂²	1	1	yes	characteristic
85	#17988491	C₂²	1	1	yes	characteristic
86	#17988491	C₂²	1	1	yes	characteristic
87	#17988491	C₂²	1	1	yes	characteristic
88	#17988491	C₂²	1	1	yes	characteristic
89	#17988491	C₂²	1	1	yes	characteristic
90	#17988491	C₂²	1	1	yes	characteristic
91	#17988490	C₂²	1	1	yes	characteristic
92	#17988486	C₂²	1	1	yes	characteristic
93	#17988486	C₂²	1	1	yes	characteristic
94	#17988485	C₂²	1	1	yes	characteristic
95	#17988485	C₂²	1	1	yes	characteristic
96	#17988482	C₂²	1	1	yes	characteristic
97	#17988482	C₂²	1	1	yes	characteristic
98	#17988482	C₂²	1	1	yes	characteristic
99	#17988481	C₂²	1	1	yes	characteristic
100	#17988481	C₂²	1	1	yes	characteristic
101	#17988481	C₂²	1	1	yes	characteristic
102	#17988481	C₂²	1	1	yes	characteristic
103	#17988481	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	#17988480	C₂²	1	1	yes	characteristic
108	#17988480	C₂²	1	1	yes	characteristic
109	#17988475	C₂²	1	1	yes	characteristic
110	#17988475	C₂²	1	1	yes	characteristic
111	#17988475	C₂²	1	1	yes	characteristic
112	#17988475	C₂²	1	1	yes	characteristic
113	#17988474	C₂²	1	1	yes	characteristic
114	#17988474	C₂²	1	1	yes	characteristic
115	#17988473	C₂²	1	1	yes	characteristic
116	#17988473	C₂²	1	1	yes	characteristic
117	#17988473	C₂²	1	1	yes	characteristic
118	#17988472	C₂²	1	1	yes	characteristic
119	#17988472	C₂²	1	1	yes	characteristic
120	#17988472	C₂²	1	1	yes	characteristic
121	#17988471	C₂²	1	1	yes	characteristic
122	#17988471	C₂²	1	1	yes	characteristic
123	#17988471	C₂²	1	1	yes	characteristic
124	#17988471	C₂²	1	1	yes	characteristic
125	#17988470	C₂²	1	1	yes	characteristic
126	#17988470	C₂²	1	1	yes	characteristic
127	#17988470	C₂²	1	1	yes	characteristic
128	#17988470	C₂²	1	1	yes	characteristic
129	#17988470	C₂²	1	1	yes	characteristic
130	#17988470	C₂²	1	1	yes	characteristic
131	#17988470	C₂²	1	1	yes	characteristic
132	#17988469	C₂²	1	1	yes	characteristic
133	#17988469	C₂²	1	1	yes	characteristic
134	#17988469	C₂²	1	1	yes	characteristic
135	#17988469	C₂²	1	1	yes	characteristic
136	#17988469	C₂²	1	1	yes	characteristic
137	#17988468	C₂²	1	1	yes	characteristic
138	#17988468	C₂²	1	1	yes	characteristic
139	#17988467	C₂²	1	1	yes	characteristic
140	#17988462	C₂²	1	1	yes	characteristic
141	#17988462	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	#17988455	C₂²	1	1	yes	characteristic
146	#17988455	C₂²	1	1	yes	characteristic
147	#17988454	C₂²	1	1	yes	characteristic
148	#17988454	C₂²	1	1	yes	characteristic
149	#17988454	C₂²	1	1	yes	characteristic
150	#17988453	C₂²	1	1	yes	characteristic
151	#17988453	C₂²	1	1	yes	characteristic
152	#17988452	C₂²	1	1	yes	characteristic
153	#17988450	C₂²	1	1	yes	characteristic
154	#17988450	C₂²	1	1	yes	characteristic
155	#17988450	C₂²	1	1	yes	characteristic
156	#17988450	C₂²	1	1	yes	characteristic
157	#17988448	C₂²	1	1	yes	characteristic
158	#17988447	C₂²	1	1	yes	characteristic
159	#17988447	C₂²	1	1	yes	characteristic
160	#17988447	C₂²	1	1	yes	characteristic
161	#17988445	C₂²	1	1	yes	characteristic
162	C₄⋊C₄×Dic₇₃	C₂²	1	1	yes	characteristic
163	C₄×C₄⋊Dic₇₃	C₂²	1	1	yes	characteristic
164	C₄×C₄⋊Dic₇₃	C₂²	1	1	yes	characteristic
165	#17988438	C₂²	1	1	yes	characteristic
166	#17988438	C₂²	1	1	yes	characteristic
167	C₂²⋊C₄×Dic₇₃	C₂²	1	1	yes	characteristic
168	C₄×C₂²⋊Dic₇₃	C₂²	1	1	yes	characteristic
169	C₄×C₂²⋊Dic₇₃	C₂²	1	1	yes	characteristic
170	#17988433	C₂²	1	1	yes	characteristic
171	#17988433	C₂²	1	1	yes	characteristic
172	C₂×#123×C₇₃	C₂²	1	1	yes	characteristic
173	C₂²×C₄²×C₇₃	C₂²	1	1	yes	characteristic
174	#388×C₇₃	C₂²	1	1	yes	characteristic
175	#388×C₇₃	C₂²	1	1	yes	characteristic
176	#388×C₇₃	C₂²	1	1	yes	characteristic
177	#388×C₇₃	C₂²	1	1	yes	characteristic
178	#387×C₇₃	C₂²	1	1	yes	characteristic
179	#387×C₇₃	C₂²	1	1	yes	characteristic
180	#387×C₇₃	C₂²	1	1	yes	characteristic
181	#387×C₇₃	C₂²	1	1	yes	characteristic
182	#386×C₇₃	C₂²	1	1	yes	characteristic
183	#386×C₇₃	C₂²	1	1	yes	characteristic
184	#385×C₇₃	C₂²	1	1	yes	characteristic
185	#385×C₇₃	C₂²	1	1	yes	characteristic
186	#381×C₇₃	C₂²	1	1	yes	characteristic
187	C₂²×Dic₁₄₆	C₂³	1	1	yes	characteristic
188	C₂²×Dic₁₄₆	C₂³	1	1	yes	characteristic
189	C₂²×Dic₁₄₆	C₂³	1	1	yes	characteristic
190	C₂³×Dic₇₃	C₂³	1	1	yes	characteristic
191	#14556570	—	2	4	no	—
192	C₂×C₄⋊Dic₇₃	C₂³	1	1	yes	characteristic
193	C₂×C₄⋊Dic₇₃	C₂³	1	1	yes	characteristic
194	C₂×C₄⋊Dic₇₃	C₂³	1	1	yes	characteristic
195	C₂×C₄⋊Dic₇₃	C₂³	1	1	yes	characteristic
196	C₂×C₄⋊Dic₇₃	C₂³	1	1	yes	characteristic
197	C₂×C₄⋊Dic₇₃	C₂³	1	1	yes	characteristic
198	C₂×C₄⋊Dic₇₃	C₂³	1	1	yes	characteristic
199	C₂×C₄⋊Dic₇₃	C₂³	1	1	yes	characteristic
200	C₂×C₄⋊Dic₇₃	C₂³	1	1	yes	characteristic
201	C₂×C₄⋊Dic₇₃	C₂³	1	1	yes	characteristic
202	C₂×C₄⋊Dic₇₃	C₂³	1	1	yes	characteristic
203	C₂×C₄⋊Dic₇₃	C₂³	1	1	yes	characteristic
204	C₂×#11924007	C₂³	1	1	yes	characteristic
205	C₂×#11924007	C₂³	1	1	yes	characteristic
206	C₂×#11924007	C₂³	1	1	yes	characteristic
207	C₂×#11924007	C₂³	1	1	yes	characteristic
208	C₂×#11924007	C₂³	1	1	yes	characteristic
209	C₂×#11924007	C₂³	1	1	yes	characteristic
210	C₂×#11924007	C₂³	1	1	yes	characteristic
211	C₂×#11924007	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×C₂²⋊Dic₇₃	C₂³	1	1	yes	characteristic
223	C₂×C₂²⋊Dic₇₃	C₂³	1	1	yes	characteristic
224	C₂×C₂²⋊Dic₇₃	C₂³	1	1	yes	characteristic
225	C₂×C₂²⋊Dic₇₃	C₂³	1	1	yes	characteristic
226	C₂×C₂²⋊Dic₇₃	C₂³	1	1	yes	characteristic
227	C₂×C₂²⋊Dic₇₃	C₂³	1	1	yes	characteristic
228	C₂×C₂²⋊Dic₇₃	C₂³	1	1	yes	characteristic
229	C₂×C₂²⋊Dic₇₃	C₂³	1	1	yes	characteristic
230	C₂×C₂²⋊Dic₇₃	C₂³	1	1	yes	characteristic
231	C₂×C₂²⋊Dic₇₃	C₂³	1	1	yes	characteristic
232	C₂×C₂²⋊Dic₇₃	C₂³	1	1	yes	characteristic
233	C₂×C₂²⋊Dic₇₃	C₂³	1	1	yes	characteristic
234	C₂×C₂²⋊Dic₇₃	C₂³	1	1	yes	characteristic
235	C₂×C₂²⋊Dic₇₃	C₂³	1	1	yes	characteristic
236	C₂×C₂²⋊Dic₇₃	C₂³	1	1	yes	characteristic
237	C₂×C₄×Dic₇₃	C₂³	1	1	yes	characteristic
238	C₂×C₄×Dic₇₃	C₂³	1	1	yes	characteristic
239	C₂×C₄×Dic₇₃	C₂³	1	1	yes	characteristic
240	C₂×C₄×Dic₇₃	C₂³	1	1	yes	characteristic
241	C₂×C₄×Dic₇₃	C₂³	1	1	yes	characteristic
242	C₂×C₄×Dic₇₃	C₂³	1	1	yes	characteristic
243	C₂×C₄×Dic₇₃	C₂³	1	1	yes	characteristic
244	C₂×C₄×Dic₇₃	C₂³	1	1	yes	characteristic
245	C₂×C₄×Dic₇₃	C₂³	1	1	yes	characteristic
246	C₂×C₄×Dic₇₃	C₂³	1	1	yes	characteristic
247	C₂×C₄×Dic₇₃	C₂³	1	1	yes	characteristic
248	#14556498	C₂³	1	1	yes	characteristic
249	#14556498	C₂³	1	1	yes	characteristic
250	#14556498	C₂³	1	1	yes	characteristic
251	#14556498	C₂³	1	1	yes	characteristic
252	#14556498	C₂³	1	1	yes	characteristic
253	#14556498	C₂³	1	1	yes	characteristic
254	#14556498	C₂³	1	1	yes	characteristic
255	#14556498	C₂³	1	1	yes	characteristic
256	#14556498	C₂³	1	1	yes	characteristic
257	#14556498	C₂³	1	1	yes	characteristic
258	#14556498	C₂³	1	1	yes	characteristic
259	#14556498	C₂³	1	1	yes	characteristic
260	#14556498	C₂³	1	1	yes	characteristic
261	#14556498	C₂³	1	1	yes	characteristic
262	#14556498	C₂³	1	1	yes	characteristic
263	#14556498	C₂³	1	1	yes	characteristic
264	#14556498	C₂³	1	1	yes	characteristic
265	#14556498	C₂³	1	1	yes	characteristic
266	#14556498	C₂³	1	1	yes	characteristic
267	#14556498	C₂³	1	1	yes	characteristic
268	#14556498	C₂³	1	1	yes	characteristic
269	#14556498	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	C₂²×D₄×C₇₃	C₂³	1	1	yes	characteristic
309	C₂³×C₄×C₇₃	C₂³	1	1	yes	characteristic
310	C₂³×C₄×C₇₃	C₂³	1	1	yes	characteristic
311	C₂³×C₄×C₇₃	C₂³	1	1	yes	characteristic
312	#123×C₇₃	—	2	4	no	—
313	C₂×C₄⋊C₄×C₇₃	C₂³	1	1	yes	characteristic
314	C₂×C₄⋊C₄×C₇₃	C₂³	1	1	yes	characteristic
315	C₂×C₄⋊C₄×C₇₃	C₂³	1	1	yes	characteristic
316	C₂×C₄⋊C₄×C₇₃	C₂³	1	1	yes	characteristic
317	C₂×C₄⋊C₄×C₇₃	C₂³	1	1	yes	characteristic
318	C₂×C₄⋊C₄×C₇₃	C₂³	1	1	yes	characteristic
319	C₂×C₂²⋊C₄×C₇₃	C₂³	1	1	yes	characteristic
320	C₂×C₂²⋊C₄×C₇₃	C₂³	1	1	yes	characteristic
321	C₂×C₂²⋊C₄×C₇₃	C₂³	1	1	yes	characteristic
322	C₂×C₂²⋊C₄×C₇₃	C₂³	1	1	yes	characteristic
323	C₂×C₂²⋊C₄×C₇₃	C₂³	1	1	yes	characteristic
324	C₂×C₂²⋊C₄×C₇₃	C₂³	1	1	yes	characteristic
325	C₂×C₂²⋊C₄×C₇₃	C₂³	1	1	yes	characteristic
326	C₂×C₂²⋊C₄×C₇₃	C₂³	1	1	yes	characteristic
327	C₂×C₂²⋊C₄×C₇₃	C₂³	1	1	yes	characteristic
328	C₂×C₄²×C₇₃	—	2	4	no	—
329	C₂×C₄²×C₇₃	C₂³	1	1	yes	characteristic
330	C₂×C₄²×C₇₃	C₂³	1	1	yes	characteristic
331	C₂×C₄²×C₇₃	C₂³	1	1	yes	characteristic
332	C₂×C₄²×C₇₃	C₂³	1	1	yes	characteristic
333	#95×C₇₃	C₂³	1	1	yes	characteristic
334	#95×C₇₃	C₂³	1	1	yes	characteristic
335	#95×C₇₃	C₂³	1	1	yes	characteristic
336	#95×C₇₃	C₂³	1	1	yes	characteristic
337	#95×C₇₃	C₂³	1	1	yes	characteristic
338	#95×C₇₃	C₂³	1	1	yes	characteristic
339	#95×C₇₃	C₂³	1	1	yes	characteristic
340	#95×C₇₃	C₂³	1	1	yes	characteristic
341	#95×C₇₃	C₂³	1	1	yes	characteristic
342	#95×C₇₃	C₂³	1	1	yes	characteristic
343	#95×C₇₃	C₂³	1	1	yes	characteristic
344	#95×C₇₃	C₂³	1	1	yes	characteristic
345	C₂×Dic₁₄₆	—	2	2	no	—
346	C₂×Dic₁₄₆	—	4	1	no	—
347	C₂×Dic₁₄₆	—	4	1	no	—
348	C₂×Dic₁₄₆	—	4	1	no	—
349	C₂×Dic₁₄₆	—	4	1	no	—
350	C₂×Dic₁₄₆	—	4	1	no	—
351	C₂×Dic₁₄₆	—	4	1	no	—
352	C₂×Dic₁₄₆	—	4	1	no	—
353	C₂×Dic₁₄₆	—	4	1	no	—
354	C₂²×Dic₇₃	—	4	1	no	—
355	C₂²×Dic₇₃	—	4	1	no	—
356	C₂²×Dic₇₃	—	4	1	no	—
357	C₂²×Dic₇₃	C₂⁴	1	1	yes	characteristic
358	C₂²×Dic₇₃	C₂⁴	1	1	yes	characteristic
359	C₂²×Dic₇₃	C₂⁴	1	1	yes	characteristic
360	C₂²×Dic₇₃	C₂⁴	1	1	yes	characteristic
361	C₂²×Dic₇₃	C₂⁴	1	1	yes	characteristic
362	C₂²×Dic₇₃	C₂⁴	1	1	yes	characteristic
363	C₂²×Dic₇₃	C₂⁴	1	1	yes	characteristic
364	C₂²×Dic₇₃	C₂⁴	1	1	yes	characteristic
365	C₂²×Dic₇₃	C₂⁴	1	1	yes	characteristic
366	C₂²×Dic₇₃	C₂⁴	1	1	yes	characteristic
367	C₂²×Dic₇₃	C₂⁴	1	1	yes	characteristic
368	C₂²×Dic₇₃	C₂⁴	1	1	yes	characteristic
369	C₂²×Dic₇₃	C₂⁴	1	1	yes	characteristic
370	C₂²×Dic₇₃	C₂⁴	1	1	yes	characteristic
371	C₂²×Dic₇₃	C₂⁴	1	1	yes	characteristic
372	C₂²×Dic₇₃	C₂⁴	1	1	yes	characteristic
373	C₄⋊Dic₇₃	—	2	2	no	—
374	C₄⋊Dic₇₃	—	2	2	no	—
375	C₄⋊Dic₇₃	—	2	2	no	—
376	C₄⋊Dic₇₃	—	4	1	no	—
377	C₄⋊Dic₇₃	—	4	1	no	—
378	C₄⋊Dic₇₃	—	4	1	no	—
379	C₄⋊Dic₇₃	—	4	1	no	—
380	C₄⋊Dic₇₃	—	4	1	no	—
381	C₄⋊Dic₇₃	—	4	1	no	—
382	C₄⋊Dic₇₃	—	4	1	no	—
383	C₄⋊Dic₇₃	—	4	1	no	—
384	C₄⋊Dic₇₃	—	4	1	no	—
385	#11924007	—	2	2	no	—
386	#11924007	—	2	2	no	—
387	#11924007	—	4	1	no	—
388	#11924007	—	4	1	no	—
389	#11924007	—	4	1	no	—
390	#11924007	—	4	1	no	—
391	#11924007	—	4	1	no	—
392	#11924007	—	4	1	no	—
393	#11924007	—	4	1	no	—
394	#11924007	—	4	1	no	—
395	#11924007	—	4	1	no	—
396	#11924007	—	4	1	no	—
397	#11924007	—	4	1	no	—
398	#11924007	—	4	1	no	—
399	#11924007	—	4	1	no	—
400	#11924007	—	4	1	no	—
401	#11924007	—	4	1	no	—
402	#11924007	—	4	1	no	—
403	C₂²⋊Dic₇₃	—	2	2	no	—
404	C₂²⋊Dic₇₃	—	2	2	no	—
405	C₂²⋊Dic₇₃	—	4	1	no	—
406	C₂²⋊Dic₇₃	—	4	1	no	—
407	C₂²⋊Dic₇₃	—	4	1	no	—
408	C₂²⋊Dic₇₃	—	4	1	no	—
409	C₂²⋊Dic₇₃	—	4	1	no	—
410	C₂²⋊Dic₇₃	—	4	1	no	—
411	C₂²⋊Dic₇₃	—	4	1	no	—
412	C₂²⋊Dic₇₃	—	4	1	no	—
413	C₂²⋊Dic₇₃	—	4	1	no	—
414	C₂²⋊Dic₇₃	—	4	1	no	—
415	C₂²⋊Dic₇₃	—	4	1	no	—
416	C₂²⋊Dic₇₃	—	4	1	no	—
417	C₂²⋊Dic₇₃	—	4	1	no	—
418	C₄×Dic₇₃	—	4	1	no	—
419	C₄×Dic₇₃	—	4	1	no	—
420	C₄×Dic₇₃	—	4	1	no	—
421	C₄×Dic₇₃	—	4	1	no	—
422	C₄×Dic₇₃	—	4	1	no	—
423	C₄×Dic₇₃	—	4	1	no	—
424	C₄×Dic₇₃	—	4	1	no	—
425	C₄×Dic₇₃	—	4	1	no	—
426	C₄×Dic₇₃	—	4	1	no	—
427	C₄×Dic₇₃	—	4	1	no	—
428	C₄×Dic₇₃	—	4	1	no	—
429	C₂⁴×C₇₃	C₂⁴	1	1	yes	characteristic
430	C₂⁴×C₇₃	C₂⁴	1	1	yes	characteristic
431	C₂×D₄×C₇₃	—	2	2	no	—
432	C₂×D₄×C₇₃	—	4	1	no	—
433	C₂×D₄×C₇₃	—	4	1	no	—
434	C₂²×C₄×C₇₃	—	2	2	no	—
435	C₂²×C₄×C₇₃	—	2	2	no	—
436	C₂²×C₄×C₇₃	—	2	2	no	—
437	C₂²×C₄×C₇₃	—	4	1	no	—
438	C₂²×C₄×C₇₃	—	4	1	no	—
439	C₂²×C₄×C₇₃	—	4	1	no	—
440	C₂²×C₄×C₇₃	—	4	1	no	—
441	C₂²×C₄×C₇₃	—	4	1	no	—
442	C₂²×C₄×C₇₃	#41	1	4	yes	—
443	C₂²×C₄×C₇₃	C₂⁴	1	1	yes	characteristic
444	C₂²×C₄×C₇₃	C₂⁴	1	1	yes	characteristic
445	C₂²×C₄×C₇₃	C₂⁴	1	1	yes	characteristic
446	C₂²×C₄×C₇₃	C₂⁴	1	1	yes	characteristic
447	C₂²×C₄×C₇₃	C₂⁴	1	1	yes	characteristic
448	C₂²×C₄×C₇₃	C₂⁴	1	1	yes	characteristic
449	C₂²×C₄×C₇₃	C₂⁴	1	1	yes	characteristic
450	C₂²×C₄×C₇₃	C₂⁴	1	1	yes	characteristic
451	C₂²×C₄×C₇₃	C₂⁴	1	1	yes	characteristic
452	C₂²×C₄×C₇₃	C₂⁴	1	1	yes	characteristic
453	C₂²×C₄×C₇₃	C₂⁴	1	1	yes	characteristic
454	C₂²×C₄×C₇₃	C₂⁴	1	1	yes	characteristic
455	C₂²×C₄×C₇₃	C₂⁴	1	1	yes	characteristic
456	C₄⋊C₄×C₇₃	—	2	2	no	—
457	C₄⋊C₄×C₇₃	—	2	2	no	—
458	C₄⋊C₄×C₇₃	—	2	2	no	—
459	C₄⋊C₄×C₇₃	—	4	1	no	—
460	C₄⋊C₄×C₇₃	—	4	1	no	—
461	C₄⋊C₄×C₇₃	—	4	1	no	—
462	C₂²⋊C₄×C₇₃	—	2	2	no	—
463	C₂²⋊C₄×C₇₃	—	2	2	no	—
464	C₂²⋊C₄×C₇₃	—	2	2	no	—
465	C₂²⋊C₄×C₇₃	—	2	2	no	—
466	C₂²⋊C₄×C₇₃	—	4	1	no	—
467	C₂²⋊C₄×C₇₃	—	4	1	no	—
468	C₂²⋊C₄×C₇₃	—	4	1	no	—
469	C₂²⋊C₄×C₇₃	—	4	1	no	—
470	C₂²⋊C₄×C₇₃	—	4	1	no	—
471	C₄²×C₇₃	—	2	2	no	—
472	C₄²×C₇₃	—	2	2	no	—
473	C₄²×C₇₃	—	2	2	no	—
474	C₄²×C₇₃	—	2	2	no	—
475	C₂³×C₇₃	—	2	1	no	—
476	C₂³×C₇₃	—	2	1	no	—
477	C₂³×C₇₃	—	2	1	no	—
478	C₂³×C₇₃	—	2	1	no	—
479	C₂³×C₇₃	—	2	1	no	—
480	C₂³×C₇₃	—	2	1	no	—
481	C₂³×C₇₃	—	2	1	no	—
482	C₂³×C₇₃	—	2	1	no	—
483	C₂³×C₇₃	—	2	1	no	—
484	C₂³×C₇₃	—	2	1	no	—
485	C₂³×C₇₃	—	2	1	no	—
486	C₂³×C₇₃	—	2	1	no	—
487	C₂³×C₇₃	—	2	1	no	—
488	C₂³×C₇₃	C₂×#41	1	2	yes	—
489	C₂³×C₇₃	C₂⁵	1	1	yes	characteristic
490	D₄×C₇₃	—	8	2	no	—
491	C₂×C₄×C₇₃	—	2	1	no	—
492	C₂×C₄×C₇₃	—	2	1	no	—
493	C₂×C₄×C₇₃	—	2	1	no	—
494	C₂×C₄×C₇₃	—	2	1	no	—
495	C₂×C₄×C₇₃	—	2	1	no	—
496	C₂×C₄×C₇₃	—	2	1	no	—
497	C₂×C₄×C₇₃	—	2	1	no	—
498	C₂×C₄×C₇₃	—	2	1	no	—
499	C₂×C₄×C₇₃	—	2	1	no	—
500	C₂×C₄×C₇₃	—	2	1	no	—
501	C₂×C₄×C₇₃	—	2	1	no	—
502	C₂×C₄×C₇₃	—	2	1	no	—
503	C₂×C₄×C₇₃	—	2	1	no	—
504	C₂×C₄×C₇₃	—	2	1	no	—
505	C₂×C₄×C₇₃	—	2	1	no	—
506	C₂×C₄×C₇₃	—	2	1	no	—
507	C₂×C₄×C₇₃	—	2	1	no	—
508	C₂×C₄×C₇₃	—	2	1	no	—
509	C₂×C₄×C₇₃	—	2	1	no	—
510	C₂×C₄×C₇₃	—	2	1	no	—
511	C₂×C₄×C₇₃	—	2	1	no	—
512	C₂×C₄×C₇₃	—	2	1	no	—
513	C₂×C₄×C₇₃	—	2	1	no	—
514	C₂×C₄×C₇₃	—	2	1	no	—
515	C₂×C₄×C₇₃	—	2	1	no	—
516	C₂×C₄×C₇₃	—	2	1	no	—
517	C₂×C₄×C₇₃	—	2	1	no	—
518	C₂×C₄×C₇₃	—	2	1	no	—
519	C₂×C₄×C₇₃	—	2	1	no	—
520	C₂×C₄×C₇₃	—	2	1	no	—
521	C₂×C₄×C₇₃	—	2	1	no	—
522	C₂×C₄×C₇₃	—	2	1	no	—
523	C₂×C₄×C₇₃	—	2	1	no	—
524	C₂×C₄×C₇₃	—	2	1	no	—
525	C₂×C₄×C₇₃	—	2	1	no	—
526	C₂×C₄×C₇₃	—	2	1	no	—
527	C₂×C₄×C₇₃	—	4	4	no	—
528	C₂×C₄×C₇₃	—	4	4	no	—
529	C₂×C₄×C₇₃	—	4	4	no	—
530	C₂×C₄×C₇₃	C₂×#41	1	2	yes	—
531	C₂×C₄×C₇₃	C₂×#41	1	2	yes	—
532	C₂×C₄×C₇₃	2₋¹⁺⁴	1	2	yes	—
533	C₂×Dic₇₃	—	2	1	no	—
534	C₂×Dic₇₃	—	2	1	no	—
535	C₂×Dic₇₃	—	2	1	no	—
536	C₂×Dic₇₃	—	2	1	no	—
537	C₂×Dic₇₃	—	2	1	no	—
538	C₂×Dic₇₃	—	2	1	no	—
539	C₂×Dic₇₃	—	2	1	no	—
540	C₂×Dic₇₃	—	2	1	no	—
541	C₂×Dic₇₃	—	2	1	no	—
542	C₂×Dic₇₃	—	2	1	no	—
543	C₂×Dic₇₃	—	2	1	no	—
544	C₂×Dic₇₃	—	2	1	no	—
545	C₂×Dic₇₃	—	2	1	no	—
546	C₂×Dic₇₃	—	2	1	no	—
547	C₂×Dic₇₃	—	2	1	no	—
548	C₂×Dic₇₃	—	2	1	no	—
549	C₂×Dic₇₃	—	2	1	no	—
550	C₂×Dic₇₃	—	2	1	no	—
551	C₂×Dic₇₃	—	2	1	no	—
552	C₂×Dic₇₃	—	2	1	no	—
553	C₂×Dic₇₃	—	2	1	no	—
554	C₂×Dic₇₃	—	2	1	no	—
555	C₂×Dic₇₃	—	2	1	no	—
556	C₂×Dic₇₃	—	2	1	no	—
557	C₂×Dic₇₃	—	2	1	no	—
558	C₂×Dic₇₃	—	2	1	no	—
559	C₂×Dic₇₃	—	2	1	no	—
560	C₂×Dic₇₃	—	2	1	no	—
561	C₂×Dic₇₃	—	2	1	no	—
562	C₂×Dic₇₃	—	2	1	no	—
563	C₂×Dic₇₃	—	2	1	no	—
564	C₂×Dic₇₃	—	2	1	no	—
565	C₂×Dic₇₃	—	2	1	no	—
566	C₂×Dic₇₃	—	2	1	no	—
567	C₂×Dic₇₃	—	2	1	no	—
568	C₂×Dic₇₃	—	2	1	no	—
569	C₂×Dic₇₃	—	2	1	no	—
570	C₂×Dic₇₃	—	2	1	no	—
571	C₂×Dic₇₃	—	2	1	no	—
572	C₂×Dic₇₃	—	2	1	no	—
573	C₂×Dic₇₃	—	2	1	no	—
574	C₂×Dic₇₃	—	2	1	no	—
575	C₂×Dic₇₃	—	2	1	no	—
576	C₂×Dic₇₃	—	2	1	no	—
577	C₂×Dic₇₃	—	2	1	no	—
578	C₂×Dic₇₃	—	2	1	no	—
579	C₂×Dic₇₃	—	2	1	no	—
580	C₂×Dic₇₃	—	2	1	no	—
581	C₂×Dic₇₃	—	8	2	no	—
582	Dic₁₄₆	—	8	2	no	—
583	Dic₁₄₆	—	8	2	no	—
584	Dic₁₄₆	—	8	2	no	—
585	C₂²×C₇₃	—	2	2	no	—
586	C₂²×C₇₃	—	2	2	no	—
587	C₂²×C₇₃	—	2	2	no	—
588	C₂²×C₇₃	—	4	1	no	—
589	C₂²×C₇₃	—	4	1	no	—
590	C₂²×C₇₃	—	4	1	no	—
591	C₂²×C₇₃	—	4	1	no	—
592	C₂²×C₇₃	—	4	1	no	—
593	C₂²×C₇₃	—	4	1	no	—
594	C₂²×C₇₃	—	4	1	no	—
595	C₂²×C₇₃	—	4	1	no	—
596	C₂²×C₇₃	—	4	1	no	—
597	C₂²×C₇₃	—	4	1	no	—
598	C₂²×C₇₃	—	4	1	no	—
599	C₂²×C₇₃	C₂²×#41	1	1	yes	characteristic
600	C₂²×C₇₃	C₂×2₋¹⁺⁴	1	1	yes	characteristic
601	C₂²×C₇₃	#585	1	1	yes	characteristic
602	C₂²×C₇₃	#585	1	1	yes	characteristic
603	C₂²×C₇₃	#585	1	1	yes	characteristic
604	C₂²×C₇₃	#585	1	1	yes	characteristic
605	C₂²×C₇₃	#585	1	1	yes	characteristic
606	C₄×C₇₃	—	2	2	no	—
607	C₄×C₇₃	—	2	2	no	—
608	C₄×C₇₃	—	2	2	no	—
609	C₄×C₇₃	—	4	1	no	—
610	C₄×C₇₃	—	4	1	no	—
611	C₄×C₇₃	—	4	1	no	—
612	C₄×C₇₃	—	4	1	no	—
613	C₄×C₇₃	—	4	1	no	—
614	C₄×C₇₃	—	4	1	no	—
615	C₄×C₇₃	—	4	1	no	—
616	C₄×C₇₃	—	4	1	no	—
617	C₄×C₇₃	—	4	1	no	—
618	C₄×C₇₃	—	4	1	no	—
619	Dic₇₃	—	4	1	no	—
620	Dic₇₃	—	4	1	no	—
621	Dic₇₃	—	4	1	no	—
622	Dic₇₃	—	4	1	no	—
623	Dic₇₃	—	4	1	no	—
624	Dic₇₃	—	4	1	no	—
625	Dic₇₃	—	4	1	no	—
626	Dic₇₃	—	4	1	no	—
627	Dic₇₃	—	4	1	no	—
628	Dic₇₃	—	4	1	no	—
629	Dic₇₃	—	4	1	no	—
630	Dic₇₃	—	4	1	no	—
631	Dic₇₃	—	4	1	no	—
632	Dic₇₃	—	4	1	no	—
633	Dic₇₃	—	4	1	no	—
634	Dic₇₃	—	4	1	no	—
635	#36984	—	73	1	no	maximal, Sylow
636	C₂×C₇₃	—	4	2	no	—
637	C₂×C₇₃	—	8	1	no	—
638	C₂×C₇₃	#3455	1	1	yes	characteristic
639	C₂×C₇₃	#3491	1	1	yes	characteristic
640	C₂×C₇₃	#3495	1	1	yes	characteristic
641	C₂×C₇₃	#3557	1	1	yes	characteristic
642	C₂×C₇₃	#3565	1	1	yes	characteristic
643	C₂×C₇₃	#3566	1	1	yes	characteristic
644	C₂×C₇₃	#3568	1	1	yes	characteristic
645	#2855	—	73	1	no	—
646	#2853	D₇₃	1	1	yes	characteristic
647	#2774	—	73	1	no	—
648	#2773	—	73	1	no	—
649	#2765	—	73	1	no	—
650	#2764	—	73	1	no	—
651	#2763	—	73	1	no	—
652	#2762	—	73	1	no	—
653	#2759	—	73	1	no	—
654	#2758	—	73	1	no	—
655	#2758	—	73	1	no	—
656	#2751	—	73	1	no	—
657	#2750	—	73	1	no	—
658	#2745	—	73	1	no	—
659	#2743	—	73	1	no	—
660	#2739	—	73	1	no	—
661	#2738	—	73	1	no	—
662	#2737	—	73	1	no	—
663	#2665	—	73	1	no	—
664	#2663	—	73	1	no	—
665	#2596	—	73	1	no	—
666	#2588	—	73	1	no	—
667	#2588	—	73	1	no	—
668	#2577	—	73	1	no	—
669	#2533	—	73	1	no	—
670	#2532	—	73	1	no	—
671	#2528	—	73	1	no	—
672	#2527	—	73	1	no	—
673	#2335	—	73	1	no	—
674	#2332	—	73	1	no	—
675	#2283	—	73	1	no	—
676	C₇₃	#36984	1	1	yes	characteristic, complemented, Sylow
677	C₂×#123	C₂×D₇₃	1	1	yes	characteristic
678	C₂×C₂²⋊Q₈	—	73	1	no	—
679	C₂²×C₄²	C₂×D₇₃	1	1	yes	characteristic
680	#401	—	73	1	no	—
681	#401	—	73	1	no	—
682	#400	—	73	1	no	—
683	#400	—	73	1	no	—
684	#400	—	73	1	no	—
685	#400	—	73	1	no	—
686	#400	—	73	1	no	—
687	#400	—	73	1	no	—
688	#400	—	73	1	no	—
689	#400	—	73	1	no	—
690	#400	—	73	1	no	—
691	#400	—	73	1	no	—
692	#400	—	73	1	no	—
693	#400	—	73	1	no	—
694	#400	—	73	1	no	—
695	#400	—	73	1	no	—
696	#400	—	73	1	no	—
697	#400	—	73	1	no	—
698	#400	—	73	1	no	—
699	#400	—	73	1	no	—
700	#399	—	73	1	no	—
701	#399	—	73	1	no	—
702	#398	—	73	1	no	—
703	#398	—	73	1	no	—
704	#398	—	73	1	no	—
705	#398	—	73	1	no	—
706	#398	—	73	1	no	—
707	#397	—	73	1	no	—
708	#397	—	73	1	no	—
709	#397	—	73	1	no	—
710	#397	—	73	1	no	—
711	#397	—	73	1	no	—
712	#397	—	73	1	no	—
713	#397	—	73	1	no	—
714	#396	—	73	1	no	—
715	#396	—	73	1	no	—
716	#395	—	73	1	no	—
717	#395	—	73	1	no	—
718	#395	—	73	1	no	—
719	#395	—	73	1	no	—
720	#395	—	73	1	no	—
721	#394	—	73	1	no	—
722	#394	—	73	1	no	—
723	#393	—	73	1	no	—
724	#393	—	73	1	no	—
725	#393	—	73	1	no	—
726	#393	—	73	1	no	—
727	#393	—	73	1	no	—
728	#391	—	73	1	no	—
729	#391	—	73	1	no	—
730	#391	—	73	1	no	—
731	#391	—	73	1	no	—
732	#391	—	73	1	no	—
733	#391	—	73	1	no	—
734	#391	—	73	1	no	—
735	#391	—	73	1	no	—
736	#391	—	73	1	no	—
737	#391	—	73	1	no	—
738	#390	—	73	1	no	—
739	#389	—	73	1	no	—
740	#389	—	73	1	no	—
741	#389	—	73	1	no	—
742	#389	—	73	1	no	—
743	#389	—	73	1	no	—
744	#389	—	73	1	no	—
745	#389	—	73	1	no	—
746	#388	—	73	1	no	—
747	#388	—	73	1	no	—
748	#388	—	73	1	no	—
749	#388	—	73	1	no	—
750	#388	—	73	1	no	—
751	#388	—	73	1	no	—
752	#388	—	73	1	no	—
753	#388	—	73	1	no	—
754	#388	—	73	1	no	—
755	#388	—	73	1	no	—
756	#388	—	73	1	no	—
757	#388	—	73	1	no	—
758	#388	—	73	1	no	—
759	#388	—	73	1	no	—
760	#388	C₂×D₇₃	1	1	yes	characteristic
761	#388	C₂×D₇₃	1	1	yes	characteristic
762	#388	C₂×D₇₃	1	1	yes	characteristic
763	#388	C₂×D₇₃	1	1	yes	characteristic
764	#387	—	73	1	no	—
765	#387	—	73	1	no	—
766	#387	—	73	1	no	—
767	#387	—	73	1	no	—
768	#387	—	73	1	no	—
769	#387	—	73	1	no	—
770	#387	—	73	1	no	—
771	#387	—	73	1	no	—
772	#387	—	73	1	no	—
773	#387	—	73	1	no	—
774	#387	—	73	1	no	—
775	#387	—	73	1	no	—
776	#387	—	73	1	no	—
777	#387	—	73	1	no	—
778	#387	—	73	1	no	—
779	#387	—	73	1	no	—
780	#387	—	73	1	no	—
781	#387	—	73	1	no	—
782	#387	—	73	1	no	—
783	#387	—	73	1	no	—
784	#387	—	73	1	no	—
785	#387	—	73	1	no	—
786	#387	—	73	1	no	—
787	#387	—	73	1	no	—
788	#387	—	73	1	no	—
789	#387	—	73	1	no	—
790	#387	C₂×D₇₃	1	1	yes	characteristic
791	#387	C₂×D₇₃	1	1	yes	characteristic
792	#387	C₂×D₇₃	1	1	yes	characteristic
793	#387	C₂×D₇₃	1	1	yes	characteristic
794	#386	—	73	1	no	—
795	#386	C₂×D₇₃	1	1	yes	characteristic
796	#386	C₂×D₇₃	1	1	yes	characteristic
797	#385	—	73	1	no	—
798	#385	—	73	1	no	—
799	#385	—	73	1	no	—
800	#385	—	73	1	no	—
801	#385	—	73	1	no	—
802	#385	C₂×D₇₃	1	1	yes	characteristic
803	#385	C₂×D₇₃	1	1	yes	characteristic
804	#383	—	73	1	no	—
805	#383	—	73	1	no	—
806	#383	—	73	1	no	—
807	#383	—	73	1	no	—
808	#383	—	73	1	no	—
809	#382	—	73	1	no	—
810	#382	—	73	1	no	—
811	#382	—	73	1	no	—
812	#381	—	73	1	no	—
813	#381	—	73	1	no	—
814	#381	—	73	1	no	—
815	#381	—	73	1	no	—
816	#381	—	73	1	no	—
817	#381	C₂×D₇₃	1	1	yes	characteristic
818	#380	—	73	1	no	—
819	#380	—	73	1	no	—
820	#380	—	73	1	no	—
821	#380	—	73	1	no	—
822	C₄×C₄⋊C₄	—	73	1	no	—
823	C₄×C₄⋊C₄	—	73	1	no	—
824	C₄×C₄⋊C₄	—	73	1	no	—
825	C₄×C₄⋊C₄	—	73	1	no	—
826	C₄×C₄⋊C₄	—	73	1	no	—
827	C₄×C₂²⋊C₄	—	73	1	no	—
828	C₄×C₂²⋊C₄	—	73	1	no	—
829	C₄×C₂²⋊C₄	—	73	1	no	—
830	#376	—	73	1	no	—
831	#376	—	73	1	no	—
832	C₂²×Q₈	—	73	1	no	—
833	C₂²×Q₈	—	73	1	no	—
834	C₂²×Q₈	—	73	1	no	—
835	C₂²×D₄	C₂²×D₇₃	1	1	yes	characteristic
836	C₂³×C₄	—	73	1	no	—
837	C₂³×C₄	C₂²×D₇₃	1	1	yes	characteristic
838	C₂³×C₄	C₂²×D₇₃	1	1	yes	characteristic
839	C₂³×C₄	C₂²×D₇₃	1	1	yes	characteristic
840	#123	—	2	4	no	—
841	C₂²⋊Q₈	—	146	4	no	—
842	C₂×C₄⋊C₄	—	73	1	no	—
843	C₂×C₄⋊C₄	—	73	1	no	—
844	C₂×C₄⋊C₄	—	73	1	no	—
845	C₂×C₄⋊C₄	—	73	1	no	—
846	C₂×C₄⋊C₄	—	73	1	no	—
847	C₂×C₄⋊C₄	—	73	1	no	—
848	C₂×C₄⋊C₄	—	73	1	no	—
849	C₂×C₄⋊C₄	—	73	1	no	—
850	C₂×C₄⋊C₄	—	73	1	no	—
851	C₂×C₄⋊C₄	—	73	1	no	—
852	C₂×C₄⋊C₄	—	73	1	no	—
853	C₂×C₄⋊C₄	—	73	1	no	—
854	C₂×C₄⋊C₄	—	73	1	no	—
855	C₂×C₄⋊C₄	—	73	1	no	—
856	C₂×C₄⋊C₄	—	73	1	no	—
857	C₂×C₄⋊C₄	—	73	1	no	—
858	C₂×C₄⋊C₄	—	73	1	no	—
859	C₂×C₄⋊C₄	—	73	1	no	—
860	C₂×C₄⋊C₄	—	73	1	no	—
861	C₂×C₄⋊C₄	—	73	1	no	—
862	C₂×C₄⋊C₄	—	73	1	no	—
863	C₂×C₄⋊C₄	—	73	1	no	—
864	C₂×C₄⋊C₄	—	73	1	no	—
865	C₂×C₄⋊C₄	—	73	1	no	—
866	C₂×C₄⋊C₄	—	73	1	no	—
867	C₂×C₄⋊C₄	—	73	1	no	—
868	C₂×C₄⋊C₄	—	73	1	no	—
869	C₂×C₄⋊C₄	—	73	1	no	—
870	C₂×C₄⋊C₄	—	73	1	no	—
871	C₂×C₄⋊C₄	—	73	1	no	—
872	C₂×C₄⋊C₄	C₂²×D₇₃	1	1	yes	characteristic
873	C₂×C₄⋊C₄	C₂²×D₇₃	1	1	yes	characteristic
874	C₂×C₄⋊C₄	C₂²×D₇₃	1	1	yes	characteristic
875	C₂×C₄⋊C₄	C₂²×D₇₃	1	1	yes	characteristic
876	C₂×C₄⋊C₄	C₂²×D₇₃	1	1	yes	characteristic
877	C₂×C₄⋊C₄	C₂²×D₇₃	1	1	yes	characteristic
878	C₂×C₂²⋊C₄	—	73	1	no	—
879	C₂×C₂²⋊C₄	—	73	1	no	—
880	C₂×C₂²⋊C₄	—	73	1	no	—
881	C₂×C₂²⋊C₄	—	73	1	no	—
882	C₂×C₂²⋊C₄	—	73	1	no	—
883	C₂×C₂²⋊C₄	—	73	1	no	—
884	C₂×C₂²⋊C₄	—	73	1	no	—
885	C₂×C₂²⋊C₄	—	73	1	no	—
886	C₂×C₂²⋊C₄	—	73	1	no	—
887	C₂×C₂²⋊C₄	—	73	1	no	—
888	C₂×C₂²⋊C₄	—	73	1	no	—
889	C₂×C₂²⋊C₄	—	73	1	no	—
890	C₂×C₂²⋊C₄	—	73	1	no	—
891	C₂×C₂²⋊C₄	—	73	1	no	—
892	C₂×C₂²⋊C₄	—	73	1	no	—
893	C₂×C₂²⋊C₄	C₂²×D₇₃	1	1	yes	characteristic
894	C₂×C₂²⋊C₄	C₂²×D₇₃	1	1	yes	characteristic
895	C₂×C₂²⋊C₄	C₂²×D₇₃	1	1	yes	characteristic
896	C₂×C₂²⋊C₄	C₂²×D₇₃	1	1	yes	characteristic
897	C₂×C₂²⋊C₄	C₂²×D₇₃	1	1	yes	characteristic
898	C₂×C₂²⋊C₄	C₂²×D₇₃	1	1	yes	characteristic
899	C₂×C₂²⋊C₄	C₂²×D₇₃	1	1	yes	characteristic
900	C₂×C₂²⋊C₄	C₂²×D₇₃	1	1	yes	characteristic
901	C₂×C₂²⋊C₄	C₂²×D₇₃	1	1	yes	characteristic
902	C₂×C₄²	—	2	4	no	—
903	C₂×C₄²	—	73	1	no	—
904	C₂×C₄²	—	73	1	no	—
905	C₂×C₄²	—	73	1	no	—
906	C₂×C₄²	—	73	1	no	—
907	C₂×C₄²	—	73	1	no	—
908	C₂×C₄²	—	73	1	no	—
909	C₂×C₄²	—	73	1	no	—
910	C₂×C₄²	—	73	1	no	—
911	C₂×C₄²	—	73	1	no	—
912	C₂×C₄²	—	73	1	no	—
913	C₂×C₄²	—	73	1	no	—
914	C₂×C₄²	C₂²×D₇₃	1	1	yes	characteristic
915	C₂×C₄²	C₂²×D₇₃	1	1	yes	characteristic
916	C₂×C₄²	C₂²×D₇₃	1	1	yes	characteristic
917	C₂×C₄²	C₂²×D₇₃	1	1	yes	characteristic
918	#95	—	73	1	no	—
919	#95	—	73	1	no	—
920	#95	—	73	1	no	—
921	#95	—	73	1	no	—
922	#95	—	73	1	no	—
923	#95	—	73	1	no	—
924	#95	—	73	1	no	—
925	#95	—	73	1	no	—
926	#95	—	73	1	no	—
927	#95	—	73	1	no	—
928	#95	—	73	1	no	—
929	#95	—	73	1	no	—
930	#95	—	73	1	no	—
931	#95	—	73	1	no	—
932	#95	—	73	1	no	—
933	#95	—	73	1	no	—
934	#95	—	73	1	no	—
935	#95	—	73	1	no	—
936	#95	—	73	1	no	—
937	#95	—	73	1	no	—
938	#95	—	73	1	no	—
939	#95	—	73	1	no	—
940	#95	—	73	1	no	—
941	#95	—	73	1	no	—
942	#95	—	73	1	no	—
943	#95	—	73	1	no	—
944	#95	—	73	1	no	—
945	#95	—	73	1	no	—
946	#95	—	73	1	no	—
947	#95	—	73	1	no	—
948	#95	—	73	1	no	—
949	#95	—	73	1	no	—
950	#95	—	73	1	no	—
951	#95	—	73	1	no	—
952	#95	—	73	1	no	—
953	#95	—	73	1	no	—
954	#95	—	73	1	no	—
955	#95	—	73	1	no	—
956	#95	—	73	1	no	—
957	#95	—	73	1	no	—
958	#95	—	73	1	no	—
959	#95	—	73	1	no	—
960	#95	—	73	1	no	—
961	#95	—	73	1	no	—
962	#95	—	73	1	no	—
963	#95	—	73	1	no	—
964	#95	—	73	1	no	—
965	#95	—	73	1	no	—
966	#95	—	73	1	no	—
967	#95	—	73	1	no	—
968	#95	—	73	1	no	—
969	#95	—	73	1	no	—
970	#95	—	73	1	no	—
971	#95	—	73	1	no	—
972	#95	—	73	1	no	—
973	#95	—	73	1	no	—
974	#95	—	73	1	no	—
975	#95	—	73	1	no	—
976	#95	—	73	1	no	—
977	#95	—	73	1	no	—
978	#95	C₂²×D₇₃	1	1	yes	characteristic
979	#95	C₂²×D₇₃	1	1	yes	characteristic
980	#95	C₂²×D₇₃	1	1	yes	characteristic
981	#95	C₂²×D₇₃	1	1	yes	characteristic
982	#95	C₂²×D₇₃	1	1	yes	characteristic
983	#95	C₂²×D₇₃	1	1	yes	characteristic
984	#95	C₂²×D₇₃	1	1	yes	characteristic
985	#95	C₂²×D₇₃	1	1	yes	characteristic
986	#95	C₂²×D₇₃	1	1	yes	characteristic
987	#95	C₂²×D₇₃	1	1	yes	characteristic
988	#95	C₂²×D₇₃	1	1	yes	characteristic
989	#95	C₂²×D₇₃	1	1	yes	characteristic
990	C₂⁴	C₂³×D₇₃	1	1	yes	characteristic
991	C₂⁴	C₂³×D₇₃	1	1	yes	characteristic
992	C₂×Q₈	—	292	1	no	—
993	C₂×Q₈	—	292	1	no	—
994	C₂×Q₈	—	292	1	no	—
995	C₂×Q₈	—	292	1	no	—
996	C₂×Q₈	—	292	1	no	—
997	C₂×Q₈	—	292	1	no	—
998	C₂×Q₈	—	292	1	no	—
999	C₂×Q₈	—	292	1	no	—
1000	C₂×Q₈	—	146	2	no	—
1001	C₂×D₄	—	2	2	no	—
1002	C₂×D₄	—	4	1	no	—
1003	C₂×D₄	—	4	1	no	—
1004	C₂²×C₄	—	2	2	no	—
1005	C₂²×C₄	—	2	2	no	—
1006	C₂²×C₄	—	2	2	no	—
1007	C₂²×C₄	—	4	1	no	—
1008	C₂²×C₄	—	4	1	no	—
1009	C₂²×C₄	—	4	1	no	—
1010	C₂²×C₄	—	4	1	no	—
1011	C₂²×C₄	—	4	1	no	—
1012	C₂²×C₄	—	292	1	no	—
1013	C₂²×C₄	—	292	1	no	—
1014	C₂²×C₄	—	292	1	no	—
1015	C₂²×C₄	—	73	1	no	—
1016	C₂²×C₄	—	73	1	no	—
1017	C₂²×C₄	—	73	1	no	—
1018	C₂²×C₄	—	73	1	no	—
1019	C₂²×C₄	—	73	1	no	—
1020	C₂²×C₄	—	73	1	no	—
1021	C₂²×C₄	—	73	1	no	—
1022	C₂²×C₄	—	73	1	no	—
1023	C₂²×C₄	—	73	1	no	—
1024	C₂²×C₄	—	73	1	no	—
1025	C₂²×C₄	—	73	1	no	—
1026	C₂²×C₄	—	73	1	no	—
1027	C₂²×C₄	—	73	1	no	—
1028	C₂²×C₄	—	73	1	no	—
1029	C₂²×C₄	—	73	1	no	—
1030	C₂²×C₄	—	73	1	no	—
1031	C₂²×C₄	#11924027	1	4	yes	—
1032	C₂²×C₄	C₂³×D₇₃	1	1	yes	characteristic
1033	C₂²×C₄	C₂³×D₇₃	1	1	yes	characteristic
1034	C₂²×C₄	C₂³×D₇₃	1	1	yes	characteristic
1035	C₂²×C₄	C₂³×D₇₃	1	1	yes	characteristic
1036	C₂²×C₄	C₂³×D₇₃	1	1	yes	characteristic
1037	C₂²×C₄	C₂³×D₇₃	1	1	yes	characteristic
1038	C₂²×C₄	C₂³×D₇₃	1	1	yes	characteristic
1039	C₂²×C₄	C₂³×D₇₃	1	1	yes	characteristic
1040	C₂²×C₄	C₂³×D₇₃	1	1	yes	characteristic
1041	C₂²×C₄	C₂³×D₇₃	1	1	yes	characteristic
1042	C₂²×C₄	C₂³×D₇₃	1	1	yes	characteristic
1043	C₂²×C₄	C₂³×D₇₃	1	1	yes	characteristic
1044	C₂²×C₄	C₂³×D₇₃	1	1	yes	characteristic
1045	C₄⋊C₄	—	2	2	no	—
1046	C₄⋊C₄	—	2	2	no	—
1047	C₄⋊C₄	—	2	2	no	—
1048	C₄⋊C₄	—	4	1	no	—
1049	C₄⋊C₄	—	4	1	no	—
1050	C₄⋊C₄	—	4	1	no	—
1051	C₄⋊C₄	—	292	1	no	—
1052	C₄⋊C₄	—	292	1	no	—
1053	C₄⋊C₄	—	292	1	no	—
1054	C₄⋊C₄	—	292	1	no	—
1055	C₄⋊C₄	—	292	1	no	—
1056	C₄⋊C₄	—	292	1	no	—
1057	C₄⋊C₄	—	292	1	no	—
1058	C₄⋊C₄	—	292	1	no	—
1059	C₄⋊C₄	—	292	1	no	—
1060	C₄⋊C₄	—	292	1	no	—
1061	C₄⋊C₄	—	292	1	no	—
1062	C₄⋊C₄	—	292	1	no	—
1063	C₄⋊C₄	—	292	1	no	—
1064	C₄⋊C₄	—	292	1	no	—
1065	C₄⋊C₄	—	292	1	no	—
1066	C₄⋊C₄	—	292	1	no	—
1067	C₄⋊C₄	—	292	1	no	—
1068	C₄⋊C₄	—	292	1	no	—
1069	C₄⋊C₄	—	292	1	no	—
1070	C₄⋊C₄	—	292	1	no	—
1071	C₄⋊C₄	—	292	1	no	—
1072	C₄⋊C₄	—	292	1	no	—
1073	C₄⋊C₄	—	292	1	no	—
1074	C₄⋊C₄	—	292	1	no	—
1075	C₄⋊C₄	—	292	1	no	—
1076	C₄⋊C₄	—	146	2	no	—
1077	C₄⋊C₄	—	146	2	no	—
1078	C₄⋊C₄	—	146	2	no	—
1079	C₄⋊C₄	—	146	2	no	—
1080	C₄⋊C₄	—	146	2	no	—
1081	C₂²⋊C₄	—	2	2	no	—
1082	C₂²⋊C₄	—	2	2	no	—
1083	C₂²⋊C₄	—	2	2	no	—
1084	C₂²⋊C₄	—	2	2	no	—
1085	C₂²⋊C₄	—	4	1	no	—
1086	C₂²⋊C₄	—	4	1	no	—
1087	C₂²⋊C₄	—	4	1	no	—
1088	C₂²⋊C₄	—	4	1	no	—
1089	C₂²⋊C₄	—	4	1	no	—
1090	C₂²⋊C₄	—	292	1	no	—
1091	C₂²⋊C₄	—	292	1	no	—
1092	C₂²⋊C₄	—	292	1	no	—
1093	C₂²⋊C₄	—	292	1	no	—
1094	C₂²⋊C₄	—	292	1	no	—
1095	C₂²⋊C₄	—	292	1	no	—
1096	C₂²⋊C₄	—	292	1	no	—
1097	C₂²⋊C₄	—	292	1	no	—
1098	C₂²⋊C₄	—	292	1	no	—
1099	C₂²⋊C₄	—	292	1	no	—
1100	C₂²⋊C₄	—	292	1	no	—
1101	C₂²⋊C₄	—	292	1	no	—
1102	C₂²⋊C₄	—	292	1	no	—
1103	C₂²⋊C₄	—	146	2	no	—
1104	C₂²⋊C₄	—	146	2	no	—
1105	C₄²	—	2	2	no	—
1106	C₄²	—	2	2	no	—
1107	C₄²	—	2	2	no	—
1108	C₄²	—	2	2	no	—
1109	C₄²	—	292	1	no	—
1110	C₄²	—	292	1	no	—
1111	C₄²	—	292	1	no	—
1112	C₄²	—	292	1	no	—
1113	C₄²	—	292	1	no	—
1114	C₄²	—	292	1	no	—
1115	C₄²	—	292	1	no	—
1116	C₄²	—	292	1	no	—
1117	C₄²	—	292	1	no	—
1118	C₄²	—	292	1	no	—
1119	C₄²	—	292	1	no	—
1120	C₂³	—	2	1	no	—
1121	C₂³	—	2	1	no	—
1122	C₂³	—	2	1	no	—
1123	C₂³	—	2	1	no	—
1124	C₂³	—	2	1	no	—
1125	C₂³	—	2	1	no	—
1126	C₂³	—	2	1	no	—
1127	C₂³	—	2	1	no	—
1128	C₂³	—	2	1	no	—
1129	C₂³	—	2	1	no	—
1130	C₂³	—	2	1	no	—
1131	C₂³	—	2	1	no	—
1132	C₂³	—	2	1	no	—
1133	C₂³	C₂×#11924027	1	2	yes	—
1134	C₂³	C₂⁴×D₇₃	1	1	yes	characteristic
1135	Q₈	—	584	2	no	—
1136	Q₈	—	584	2	no	—
1137	Q₈	—	584	2	no	—
1138	D₄	—	8	2	no	—
1139	C₂×C₄	—	2	1	no	—
1140	C₂×C₄	—	2	1	no	—
1141	C₂×C₄	—	2	1	no	—
1142	C₂×C₄	—	2	1	no	—
1143	C₂×C₄	—	2	1	no	—
1144	C₂×C₄	—	2	1	no	—
1145	C₂×C₄	—	2	1	no	—
1146	C₂×C₄	—	2	1	no	—
1147	C₂×C₄	—	2	1	no	—
1148	C₂×C₄	—	2	1	no	—
1149	C₂×C₄	—	2	1	no	—
1150	C₂×C₄	—	2	1	no	—
1151	C₂×C₄	—	2	1	no	—
1152	C₂×C₄	—	2	1	no	—
1153	C₂×C₄	—	2	1	no	—
1154	C₂×C₄	—	2	1	no	—
1155	C₂×C₄	—	2	1	no	—
1156	C₂×C₄	—	2	1	no	—
1157	C₂×C₄	—	2	1	no	—
1158	C₂×C₄	—	2	1	no	—
1159	C₂×C₄	—	2	1	no	—
1160	C₂×C₄	—	2	1	no	—
1161	C₂×C₄	—	2	1	no	—
1162	C₂×C₄	—	2	1	no	—
1163	C₂×C₄	—	2	1	no	—
1164	C₂×C₄	—	2	1	no	—
1165	C₂×C₄	—	2	1	no	—
1166	C₂×C₄	—	2	1	no	—
1167	C₂×C₄	—	2	1	no	—
1168	C₂×C₄	—	2	1	no	—
1169	C₂×C₄	—	2	1	no	—
1170	C₂×C₄	—	2	1	no	—
1171	C₂×C₄	—	2	1	no	—
1172	C₂×C₄	—	2	1	no	—
1173	C₂×C₄	—	2	1	no	—
1174	C₂×C₄	—	2	1	no	—
1175	C₂×C₄	—	4	4	no	—
1176	C₂×C₄	—	4	4	no	—
1177	C₂×C₄	—	4	4	no	—
1178	C₂×C₄	—	584	2	no	—
1179	C₂×C₄	—	146	1	no	—
1180	C₂×C₄	—	146	1	no	—
1181	C₂×C₄	—	146	1	no	—
1182	C₂×C₄	—	146	1	no	—
1183	C₂×C₄	—	146	1	no	—
1184	C₂×C₄	—	146	1	no	—
1185	C₂×C₄	—	146	1	no	—
1186	C₂×C₄	—	146	1	no	—
1187	C₂×C₄	—	146	1	no	—
1188	C₂×C₄	—	146	1	no	—
1189	C₂×C₄	—	146	1	no	—
1190	C₂×C₄	—	146	1	no	—
1191	C₂×C₄	—	146	1	no	—
1192	C₂×C₄	—	146	1	no	—
1193	C₂×C₄	—	146	1	no	—
1194	C₂×C₄	—	146	1	no	—
1195	C₂×C₄	—	146	1	no	—
1196	C₂×C₄	—	146	1	no	—
1197	C₂×C₄	—	146	1	no	—
1198	C₂×C₄	—	146	1	no	—
1199	C₂×C₄	—	146	1	no	—
1200	C₂×C₄	—	146	1	no	—
1201	C₂×C₄	—	146	1	no	—
1202	C₂×C₄	—	146	1	no	—
1203	C₂×C₄	—	146	1	no	—
1204	C₂×C₄	—	146	1	no	—
1205	C₂×C₄	—	146	1	no	—
1206	C₂×C₄	—	146	1	no	—
1207	C₂×C₄	—	146	1	no	—
1208	C₂×C₄	—	146	1	no	—
1209	C₂×C₄	—	146	1	no	—
1210	C₂×C₄	—	146	1	no	—
1211	C₂×C₄	—	146	1	no	—
1212	C₂×C₄	—	146	1	no	—
1213	C₂×C₄	—	146	1	no	—
1214	C₂×C₄	—	146	1	no	—
1215	C₂×C₄	—	146	1	no	—
1216	C₂×C₄	—	146	1	no	—
1217	C₂×C₄	—	146	1	no	—
1218	C₂×C₄	—	146	1	no	—
1219	C₂×C₄	—	146	1	no	—
1220	C₂×C₄	—	146	1	no	—
1221	C₂×C₄	—	146	1	no	—
1222	C₂×C₄	—	146	1	no	—
1223	C₂×C₄	—	146	1	no	—
1224	C₂×C₄	—	146	1	no	—
1225	C₂×C₄	—	146	1	no	—
1226	C₂×C₄	—	146	1	no	—
1227	C₂×C₄	C₂×#11924027	1	2	yes	—
1228	C₂×C₄	C₂×#11924027	1	2	yes	—
1229	C₂×C₄	#14556638	1	2	yes	—
1230	C₂²	—	2	2	no	—
1231	C₂²	—	2	2	no	—
1232	C₂²	—	2	2	no	—
1233	C₂²	—	4	1	no	—
1234	C₂²	—	4	1	no	—
1235	C₂²	—	4	1	no	—
1236	C₂²	—	4	1	no	—
1237	C₂²	—	4	1	no	—
1238	C₂²	—	4	1	no	—
1239	C₂²	—	4	1	no	—
1240	C₂²	—	4	1	no	—
1241	C₂²	—	4	1	no	—
1242	C₂²	—	4	1	no	—
1243	C₂²	—	4	1	no	—
1244	C₂²	C₂²×#11924027	1	1	yes	characteristic
1245	C₂²	C₂×#14556638	1	1	yes	characteristic
1246	C₂²	#17989423	1	1	yes	characteristic
1247	C₂²	#17989423	1	1	yes	characteristic
1248	C₂²	#17989423	1	1	yes	characteristic
1249	C₂²	#17989423	1	1	yes	characteristic
1250	C₂²	#17989423	1	1	yes	characteristic
1251	C₄	—	2	2	no	—
1252	C₄	—	2	2	no	—
1253	C₄	—	2	2	no	—
1254	C₄	—	4	1	no	—
1255	C₄	—	4	1	no	—
1256	C₄	—	4	1	no	—
1257	C₄	—	4	1	no	—
1258	C₄	—	4	1	no	—
1259	C₄	—	4	1	no	—
1260	C₄	—	4	1	no	—
1261	C₄	—	4	1	no	—
1262	C₄	—	4	1	no	—
1263	C₄	—	4	1	no	—
1264	C₄	—	292	1	no	—
1265	C₄	—	292	1	no	—
1266	C₄	—	292	1	no	—
1267	C₄	—	292	1	no	—
1268	C₄	—	292	1	no	—
1269	C₄	—	292	1	no	—
1270	C₄	—	292	1	no	—
1271	C₄	—	292	1	no	—
1272	C₄	—	292	1	no	—
1273	C₄	—	292	1	no	—
1274	C₄	—	292	1	no	—
1275	C₄	—	292	1	no	—
1276	C₄	—	292	1	no	—
1277	C₄	—	292	1	no	—
1278	C₄	—	292	1	no	—
1279	C₄	—	292	1	no	—
1280	C₂	—	4	2	no	—
1281	C₂	—	8	1	no	—
1282	C₂	#22623319	1	1	yes	characteristic
1283	C₂	#22623627	1	1	yes	characteristic
1284	C₂	#22623685	1	1	yes	characteristic
1285	C₂	#22624433	1	1	yes	characteristic
1286	C₂	#22624576	1	1	yes	characteristic
1287	C₂	#22624591	1	1	yes	characteristic
1288	C₂	#22624627	1	1	yes	characteristic

	subgroup	G/H
center, Frattini	C₂³	C₂⁴×D₇₃
commutator, socle, cosocle	C₂³×C₇₃	C₂⁵
Fitting	C₇₃×#2853	C₂
prime radical	C₂²×D₄×C₇₃	C₂³
hypercenter	#2853	D₇₃
hypocenter	C₇₃	#36984
LCS	G ▷ C₂³×C₇₃ ▷ C₇₃
UCS	C₁ ◁ C₂³ ◁ #2853

Complements

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

N	H ≅ G/N	type
1. #22618270	C₂	semidirect
2. #22617493	C₂	semidirect
3. #22617478	C₂	semidirect
4. #22617366	C₂	semidirect
5. #22617352	C₂	semidirect
6. #22617347	C₂	semidirect
7. #22617337	C₂	semidirect
8. #22617302	C₂	semidirect
9. #22617287	C₂	semidirect
10. #22617278	C₂	semidirect
13. #22617104	C₂	semidirect
15. #22617020	C₂	semidirect
16. #22616995	C₂	semidirect
18. #22616103	C₂	semidirect
20. #22615466	C₂	semidirect
21. #22615366	C₂	semidirect
22. #22615364	C₂	semidirect
23. #22615247	C₂	semidirect
24. #22614805	C₂	semidirect
25. #22614792	C₂	semidirect
26. #22614732	C₂	semidirect
27. #22614715	C₂	semidirect
29. #22612684	C₂	semidirect
30. #22612329	C₂	semidirect
676. C₇₃	#36984	semidirect

Maximal subgroups

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

subgroup	index
#22618270	2
#22617493	2
#22617478	2
#22617366	2
#22617352	2
#22617347	2
#22617337	2
#22617302	2
#22617287	2
#22617278	2
#22617184	2
#22617169	2
#22617104	2
#22617074	2
#22617020	2
#22616995	2
#22616990	2
#22616103	2
#22616081	2
#22615466	2
#22615366	2
#22615364	2
#22615247	2
#22614805	2
#22614792	2
#22614732	2
#22614715	2
#22612725	2
#22612684	2
#22612329	2
C₇₃×#2853	2
#36984	73