Subgroups — #33950968

Order 18688.

1748 conjugacy classes of subgroups.

The subgroup lattice has 830 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#533×D₇₃	C₂	1	1	yes	maximal, characteristic
2	#22619031	C₂	1	2	yes	maximal, complemented
3	#22619029	C₂	1	2	yes	maximal, complemented
4	#22619027	C₂	1	2	yes	maximal, complemented
5	#22619022	C₂	1	2	yes	maximal, complemented
6	#22619019	C₂	1	2	yes	maximal, complemented
7	#22619017	C₂	1	2	yes	maximal, complemented
8	#22619013	C₂	1	2	yes	maximal, complemented
9	#22619010	C₂	1	2	yes	maximal, complemented
10	#22618877	C₂	1	2	yes	maximal, complemented
11	#22618875	C₂	1	2	yes	maximal, complemented
12	#22618866	C₂	1	1	yes	maximal, characteristic, complemented
13	#22618865	C₂	1	1	yes	maximal, characteristic, complemented
14	#22618861	C₂	1	1	yes	maximal, characteristic, complemented
15	#22618588	C₂	1	2	yes	maximal
16	#22618586	C₂	1	2	yes	maximal
17	#22618563	C₂	1	1	yes	maximal, characteristic
18	C₂×#17988638	C₂	1	1	yes	maximal, characteristic
19	C₇₃×#2960	C₂	1	1	yes	maximal, characteristic, complemented
20	#17989144	C₂²	1	1	yes	characteristic
21	#17989143	C₄	1	2	yes	—
22	#17989142	C₄	1	1	yes	characteristic
23	#17989142	C₄	1	1	yes	characteristic
24	#17989141	C₂²	1	2	yes	—
25	#17989141	C₂²	1	2	yes	—
26	#17989140	C₂²	1	2	yes	—
27	#17989139	C₄	1	2	yes	—
28	#17989139	C₄	1	2	yes	—
29	C₄⋊Q₈×D₇₃	C₄	1	1	yes	characteristic
30	C₄⋊Q₈×D₇₃	C₄	1	1	yes	characteristic
31	#125×D₇₃	C₄	1	2	yes	—
32	C₂²⋊Q₈×D₇₃	C₄	1	2	yes	—
33	C₂²⋊Q₈×D₇₃	C₄	1	2	yes	—
34	C₄×Q₈×D₇₃	C₂²	1	2	yes	—
35	C₄×Q₈×D₇₃	C₂²	1	2	yes	—
36	#117×D₇₃	C₂²	1	2	yes	—
37	C₂×C₄²×D₇₃	C₂²	1	1	yes	characteristic
38	#17988718	C₂²	1	2	yes	complemented
39	#17988718	C₂²	1	2	yes	complemented
40	#17988717	C₂²	1	2	yes	complemented
41	#17988717	C₂²	1	4	yes	complemented
42	#17988717	C₂²	1	2	yes	complemented
43	#17988716	C₂²	1	4	yes	complemented
44	#17988716	C₂²	1	4	yes	complemented
45	#17988715	C₂²	1	4	yes	complemented
46	#17988715	C₂²	1	4	yes	complemented
47	#17988714	C₂²	1	2	yes	complemented
48	#17988714	C₂²	1	4	yes	complemented
49	#17988714	C₂²	1	2	yes	complemented
50	Q₈×#10596831	C₂²	1	2	yes	complemented
51	Q₈×#10596831	C₂²	1	2	yes	complemented
52	C₈×Dic₁₄₆	C₂²	1	2	yes	complemented
53	C₈×Dic₁₄₆	C₂²	1	4	yes	complemented
54	C₈×Dic₁₄₆	C₂²	1	2	yes	complemented
55	#17988711	C₂²	1	2	yes	complemented
56	#17988711	C₂²	1	4	yes	complemented
57	#17988711	C₂²	1	2	yes	complemented
58	#17988649	C₂²	1	4	yes	—
59	#17988647	C₂²	1	4	yes	—
60	#17988647	C₂²	1	4	yes	—
61	#17988646	C₂²	1	4	yes	—
62	#17988643	C₂²	1	4	yes	—
63	#17988643	C₂²	1	2	yes	—
64	#17988643	C₂²	1	2	yes	—
65	#17988642	C₂²	1	4	yes	—
66	#17988639	C₂²	1	2	yes	—
67	#17988639	C₂²	1	4	yes	—
68	#17988639	C₂²	1	2	yes	—
69	#17988638	C₂²	1	1	yes	characteristic
70	#17988638	C₂²	1	4	yes	—
71	#17988638	C₂²	1	1	yes	characteristic
72	#17988638	C₂²	1	1	yes	characteristic
73	#17988638	C₂²	1	1	yes	characteristic
74	#17988638	C₂²	1	1	yes	characteristic
75	#17988638	C₂²	1	1	yes	characteristic
76	#17988638	C₂²	1	1	yes	characteristic
77	#17988638	C₂²	1	1	yes	characteristic
78	#17988615	C₂²	1	2	yes	—
79	#17988614	C₂²	1	2	yes	—
80	#17988613	C₂²	1	2	yes	—
81	#17988611	C₂²	1	1	yes	characteristic
82	C₂×#14556520	C₂²	1	1	yes	characteristic
83	C₂×#14556520	C₂²	1	1	yes	characteristic
84	#17988550	C₂²	1	2	yes	—
85	C₂×#14556503	C₂²	1	1	yes	characteristic
86	C₂×#14556503	C₂²	1	1	yes	characteristic
87	#17988545	C₂²	1	2	yes	—
88	#17988543	C₂²	1	2	yes	—
89	#17988542	C₂²	1	2	yes	—
90	M₁₆×Dic₇₃	C₂²	1	2	yes	—
91	C₂×C₄×#10596831	C₂²	1	1	yes	characteristic
92	#533×C₇₃	C₂²	1	1	yes	characteristic
93	#446×C₇₃	C₂²	1	2	yes	complemented
94	#446×C₇₃	C₂²	1	2	yes	complemented
95	C₈×Q₈×C₇₃	C₂²	1	2	yes	complemented
96	C₈×Q₈×C₇₃	C₂²	1	2	yes	complemented
97	#424×C₇₃	C₂²	1	2	yes	—
98	#423×C₇₃	C₂²	1	1	yes	characteristic
99	#405×C₇₃	C₂²	1	2	yes	—
100	C₂×C₄×C₈×C₇₃	C₂²	1	1	yes	characteristic
101	C₂×Q₈×D₇₃	C₂×C₄	1	2	yes	—
102	C₂×Q₈×D₇₃	C₂×C₄	1	2	yes	—
103	C₂²×C₄×D₇₃	C₂×C₄	1	1	yes	characteristic
104	C₂²×C₄×D₇₃	C₂×C₄	1	1	yes	characteristic
105	C₂²×C₄×D₇₃	C₂³	1	1	yes	characteristic
106	C₂×#11924012	C₂³	1	2	yes	—
107	C₂²×#10596831	C₂³	1	1	yes	characteristic
108	C₂²×#10596831	C₂³	1	1	yes	characteristic
109	#14556591	C₂×C₄	1	1	yes	characteristic
110	#14556591	C₂×C₄	1	1	yes	characteristic
111	#14556590	C₂×C₄	1	2	yes	—
112	#14556590	C₂×C₄	1	2	yes	—
113	#14556590	C₂×C₄	1	2	yes	—
114	#14556590	C₂×C₄	1	2	yes	—
115	#14556589	C₂×C₄	1	2	yes	—
116	#14556589	C₂×C₄	1	2	yes	—
117	#14556583	C₂×C₄	1	2	yes	—
118	#14556582	C₂×C₄	1	2	yes	—
119	#14556582	C₂×C₄	1	2	yes	—
120	#14556581	C₂×C₄	1	4	yes	—
121	#14556581	C₂×C₄	1	4	yes	—
122	#14556571	C₂×C₄	1	2	yes	—
123	#14556571	C₂×C₄	1	2	yes	—
124	#14556570	C₂×C₄	1	2	yes	—
125	#14556570	C₂×C₄	1	2	yes	—
126	#14556569	C₂×C₄	1	4	yes	—
127	#14556569	C₂×C₄	1	4	yes	—
128	#14556568	C₂×C₄	1	4	yes	—
129	#14556568	C₂×C₄	1	4	yes	—
130	#14556567	C₂×C₄	1	2	yes	—
131	#14556567	C₂×C₄	1	2	yes	—
132	Q₈×Dic₇₃	C₂×C₄	1	2	yes	—
133	Q₈×Dic₇₃	C₂×C₄	1	2	yes	—
134	C₄×Dic₁₄₆	C₂³	1	4	yes	—
135	C₄×Dic₁₄₆	C₂³	1	4	yes	—
136	C₄×Dic₁₄₆	C₂³	1	2	yes	—
137	C₄×Dic₁₄₆	C₂³	1	2	yes	—
138	#14556556	C₂×C₄	1	2	yes	—
139	#14556556	C₂×C₄	1	2	yes	—
140	#14556556	C₂×C₄	1	4	yes	—
141	#14556556	C₂×C₄	1	4	yes	—
142	#14556550	C₂³	1	2	yes	—
143	#14556549	C₂×C₄	1	2	yes	—
144	#14556549	C₂×C₄	1	2	yes	—
145	#14556548	C₂³	1	4	yes	—
146	#14556547	C₂×C₄	1	4	yes	—
147	C₄⋊C₄×D₇₃	C₂×C₄	1	2	yes	—
148	C₄⋊C₄×D₇₃	C₂×C₄	1	2	yes	—
149	C₄⋊C₄×D₇₃	C₂×C₄	1	2	yes	—
150	C₄⋊C₄×D₇₃	C₂×C₄	1	2	yes	—
151	C₄⋊C₄×D₇₃	C₂×C₄	1	4	yes	—
152	C₄⋊C₄×D₇₃	C₂×C₄	1	4	yes	—
153	C₂²⋊C₄×D₇₃	C₂×C₄	1	4	yes	—
154	C₂×C₄×Dic₇₃	C₂×C₄	1	1	yes	characteristic
155	C₂×C₄×Dic₇₃	C₂×C₄	1	1	yes	characteristic
156	C₂×C₄×Dic₇₃	C₂³	1	1	yes	characteristic
157	C₄²×D₇₃	C₂×C₄	1	1	yes	characteristic
158	C₄²×D₇₃	C₂×C₄	1	1	yes	characteristic
159	C₄²×D₇₃	C₂×C₄	1	1	yes	characteristic
160	C₄²×D₇₃	C₂×C₄	1	1	yes	characteristic
161	C₄²×D₇₃	C₂³	1	1	yes	characteristic
162	C₄²×D₇₃	C₂³	1	1	yes	characteristic
163	C₄²×D₇₃	C₂³	1	1	yes	characteristic
164	C₄²×D₇₃	C₂³	1	1	yes	characteristic
165	C₄²×D₇₃	C₂³	1	4	yes	—
166	C₄⋊#10596831	C₂³	1	2	yes	—
167	C₄⋊#10596831	C₂³	1	2	yes	—
168	C₄⋊#10596831	C₂³	1	4	yes	—
169	C₄⋊#10596831	C₂³	1	4	yes	—
170	#14556520	C₂³	1	4	yes	—
171	#14556520	C₂³	1	4	yes	—
172	#14556520	C₂³	1	4	yes	—
173	#14556520	C₂³	1	4	yes	—
174	#14556520	C₂³	1	1	yes	characteristic
175	#14556520	C₂³	1	1	yes	characteristic
176	#14556520	C₂³	1	1	yes	characteristic
177	#14556520	C₂³	1	1	yes	characteristic
178	#14556520	C₂³	1	1	yes	characteristic
179	#14556520	C₂³	1	1	yes	characteristic
180	#14556520	C₂³	1	1	yes	characteristic
181	#14556520	C₂³	1	1	yes	characteristic
182	#14556503	C₂³	1	1	yes	characteristic
183	#14556503	C₂³	1	1	yes	characteristic
184	#14556503	C₂³	1	1	yes	characteristic
185	#14556503	C₂³	1	1	yes	characteristic
186	#14556503	C₂³	1	1	yes	characteristic
187	#14556503	C₂³	1	1	yes	characteristic
188	#14556503	C₂³	1	1	yes	characteristic
189	#14556503	C₂³	1	1	yes	characteristic
190	#14556503	C₂³	1	4	yes	—
191	#14556503	C₂³	1	4	yes	—
192	#14556502	C₂³	1	4	yes	—
193	#14556501	C₂³	1	4	yes	—
194	#14556501	C₂³	1	4	yes	—
195	#14556501	C₂³	1	4	yes	—
196	C₄×#10596831	C₂³	1	1	yes	characteristic
197	C₄×#10596831	C₂³	1	1	yes	characteristic
198	C₄×#10596831	C₂³	1	1	yes	characteristic
199	C₄×#10596831	C₂³	1	1	yes	characteristic
200	C₄×#10596831	C₂³	1	4	yes	—
201	C₈×Dic₇₃	C₂³	1	4	yes	—
202	C₈×Dic₇₃	C₂³	1	4	yes	—
203	C₈×Dic₇₃	C₂³	1	4	yes	—
204	C₂×M₁₆×C₇₃	C₂³	1	2	yes	—
205	C₂²×C₈×C₇₃	C₂³	1	1	yes	characteristic
206	C₂²×C₈×C₇₃	C₂³	1	1	yes	characteristic
207	C₄⋊Q₈×C₇₃	C₂×C₄	1	1	yes	characteristic
208	C₄⋊Q₈×C₇₃	C₂×C₄	1	1	yes	characteristic
209	#125×C₇₃	C₂×C₄	1	2	yes	—
210	C₂²⋊Q₈×C₇₃	C₂×C₄	1	2	yes	—
211	C₂²⋊Q₈×C₇₃	C₂×C₄	1	2	yes	—
212	C₄×Q₈×C₇₃	C₂³	1	2	yes	—
213	C₄×Q₈×C₇₃	C₂³	1	2	yes	—
214	#117×C₇₃	C₂³	1	2	yes	—
215	C₂×C₄²×C₇₃	C₂³	1	1	yes	characteristic
216	C₄⋊C₈×C₇₃	C₂³	1	2	yes	—
217	C₄⋊C₈×C₇₃	C₂³	1	2	yes	—
218	C₄⋊C₈×C₇₃	C₂³	1	4	yes	—
219	C₄⋊C₈×C₇₃	C₂³	1	4	yes	—
220	#97×C₇₃	C₂³	1	4	yes	—
221	C₄×C₈×C₇₃	C₂³	1	1	yes	characteristic
222	C₄×C₈×C₇₃	C₂³	1	1	yes	characteristic
223	C₄×C₈×C₇₃	C₂³	1	1	yes	characteristic
224	C₄×C₈×C₇₃	C₂³	1	1	yes	characteristic
225	C₄×C₈×C₇₃	C₂³	1	4	yes	—
226	C₂³×D₇₃	C₂²×C₄	1	1	yes	characteristic
227	C₂×Dic₁₄₆	C₂²×C₄	1	4	yes	—
228	C₂×Dic₁₄₆	C₂²×C₄	1	2	yes	—
229	C₂×Dic₁₄₆	C₂²×C₄	1	2	yes	—
230	C₂×Dic₁₄₆	C₂²×C₄	1	4	yes	—
231	Q₈×D₇₃	—	2	8	no	—
232	Q₈×D₇₃	—	4	4	no	—
233	C₂²×Dic₇₃	C₂²×C₄	1	1	yes	characteristic
234	C₂²×Dic₇₃	C₂²×C₄	1	1	yes	characteristic
235	C₂²×Dic₇₃	C₂²×C₄	1	1	yes	characteristic
236	C₂×C₄×D₇₃	—	2	2	no	—
237	C₂×C₄×D₇₃	—	2	2	no	—
238	C₂×C₄×D₇₃	—	2	4	no	—
239	C₂×C₄×D₇₃	—	4	2	no	—
240	C₂×C₄×D₇₃	C₂²×C₄	1	1	yes	characteristic
241	C₂×C₄×D₇₃	C₂²×C₄	1	1	yes	characteristic
242	C₂×C₄×D₇₃	C₂²×C₄	1	1	yes	characteristic
243	C₂×C₄×D₇₃	C₂²×C₄	1	1	yes	characteristic
244	C₂×C₄×D₇₃	C₂²×C₄	1	1	yes	characteristic
245	C₂×C₄×D₇₃	C₂²×C₄	1	1	yes	characteristic
246	C₂×C₄×D₇₃	C₂²×C₄	1	1	yes	characteristic
247	C₂×C₄×D₇₃	C₂²×C₄	1	4	yes	—
248	C₂×C₄×D₇₃	C₂²×C₄	1	1	yes	characteristic
249	C₂×C₄×D₇₃	C₂²×C₄	1	1	yes	characteristic
250	C₂×C₄×D₇₃	C₂²×C₄	1	4	yes	—
251	C₂×C₄×D₇₃	C₂²×C₄	1	1	yes	characteristic
252	C₂×C₄×D₇₃	C₂⁴	1	1	yes	characteristic
253	C₂×C₄×D₇₃	C₂⁴	1	1	yes	characteristic
254	#11924012	—	2	4	no	—
255	C₂×#10596831	—	2	2	no	—
256	C₂×#10596831	—	2	2	no	—
257	C₂×#10596831	C₂⁴	1	1	yes	characteristic
258	C₂×#10596831	C₂⁴	1	4	yes	—
259	C₂×#10596831	C₂⁴	1	1	yes	characteristic
260	C₂×#10596831	C₂⁴	1	1	yes	characteristic
261	C₂×#10596831	C₂⁴	1	1	yes	characteristic
262	C₄⋊Dic₇₃	C₂²×C₄	1	2	yes	—
263	C₄⋊Dic₇₃	C₂²×C₄	1	2	yes	—
264	C₄⋊Dic₇₃	C₂²×C₄	1	2	yes	—
265	C₄⋊Dic₇₃	C₂²×C₄	1	2	yes	—
266	C₄⋊Dic₇₃	C₂²×C₄	1	4	yes	—
267	C₄⋊Dic₇₃	C₂²×C₄	1	4	yes	—
268	#11924007	C₂²×C₄	1	4	yes	—
269	#11924007	C₂²×C₄	1	4	yes	—
270	#11924007	C₂²×C₄	1	4	yes	—
271	#11924007	C₂²×C₄	1	4	yes	—
272	#11924007	C₂²×C₄	1	4	yes	—
273	#11924007	C₂²×C₄	1	4	yes	—
274	#11924007	C₂²×C₄	1	4	yes	—
275	#11924007	C₂²×C₄	1	4	yes	—
276	C₂²⋊Dic₇₃	C₂²×C₄	1	4	yes	—
277	#11924005	C₂²×C₄	1	4	yes	—
278	#11924005	C₂²×C₄	1	4	yes	—
279	C₄×Dic₇₃	C₂²×C₄	1	1	yes	characteristic
280	C₄×Dic₇₃	C₂²×C₄	1	1	yes	characteristic
281	C₄×Dic₇₃	C₂²×C₄	1	1	yes	characteristic
282	C₄×Dic₇₃	C₂²×C₄	1	1	yes	characteristic
283	C₄×Dic₇₃	C₂²×C₄	1	1	yes	characteristic
284	C₄×Dic₇₃	C₂²×C₄	1	1	yes	characteristic
285	C₄×Dic₇₃	C₂²×C₄	1	1	yes	characteristic
286	C₄×Dic₇₃	C₂²×C₄	1	1	yes	characteristic
287	C₄×Dic₇₃	C₂²×C₄	1	1	yes	characteristic
288	C₄×Dic₇₃	C₂²×C₄	1	1	yes	characteristic
289	C₄×Dic₇₃	C₂²×C₄	1	4	yes	—
290	C₄×Dic₇₃	C₂²×C₄	1	4	yes	—
291	C₄×Dic₇₃	C₂⁴	1	1	yes	characteristic
292	C₄×Dic₇₃	C₂⁴	1	4	yes	—
293	C₄×Dic₇₃	C₂⁴	1	1	yes	characteristic
294	C₂×Q₈×C₇₃	C₂²×C₄	1	2	yes	—
295	C₂×Q₈×C₇₃	C₂²×C₄	1	2	yes	—
296	C₂²×C₄×C₇₃	C₂²×C₄	1	1	yes	characteristic
297	C₂²×C₄×C₇₃	C₂²×C₄	1	1	yes	characteristic
298	C₂²×C₄×C₇₃	C₂⁴	1	1	yes	characteristic
299	M₁₆×C₇₃	—	2	4	no	—
300	C₂×C₈×C₇₃	—	2	2	no	—
301	C₂×C₈×C₇₃	—	2	2	no	—
302	C₂×C₈×C₇₃	C₂⁴	1	1	yes	characteristic
303	C₂×C₈×C₇₃	C₂⁴	1	1	yes	characteristic
304	C₂×C₈×C₇₃	C₂⁴	1	1	yes	characteristic
305	C₂×C₈×C₇₃	C₂⁴	1	1	yes	characteristic
306	C₂×C₈×C₇₃	C₂⁴	1	4	yes	—
307	C₄⋊C₄×C₇₃	C₂²×C₄	1	2	yes	—
308	C₄⋊C₄×C₇₃	C₂²×C₄	1	2	yes	—
309	C₄⋊C₄×C₇₃	C₂²×C₄	1	4	yes	—
310	C₄⋊C₄×C₇₃	C₂²×C₄	1	4	yes	—
311	C₄⋊C₄×C₇₃	C₂²×C₄	1	2	yes	—
312	C₄⋊C₄×C₇₃	C₂²×C₄	1	2	yes	—
313	C₂²⋊C₄×C₇₃	C₂²×C₄	1	4	yes	—
314	C₄²×C₇₃	C₂²×C₄	1	1	yes	characteristic
315	C₄²×C₇₃	C₂²×C₄	1	1	yes	characteristic
316	C₄²×C₇₃	C₂⁴	1	1	yes	characteristic
317	C₄²×C₇₃	C₂⁴	1	1	yes	characteristic
318	C₄²×C₇₃	C₂⁴	1	4	yes	—
319	C₂³×C₇₃	C₂³×C₄	1	1	yes	characteristic
320	C₂²×D₇₃	—	2	2	no	—
321	C₂²×D₇₃	—	2	2	no	—
322	C₂²×D₇₃	—	4	1	no	—
323	C₂²×D₇₃	C₂³×C₄	1	1	yes	characteristic
324	C₂²×D₇₃	C₂³×C₄	1	1	yes	characteristic
325	Q₈×C₇₃	—	2	4	no	—
326	Q₈×C₇₃	—	2	4	no	—
327	C₂×C₄×C₇₃	—	2	2	no	—
328	C₂×C₄×C₇₃	—	2	2	no	—
329	C₂×C₄×C₇₃	C₂³×C₄	1	1	yes	characteristic
330	C₂×C₄×C₇₃	C₂³×C₄	1	1	yes	characteristic
331	C₂×C₄×C₇₃	C₂³×C₄	1	4	yes	—
332	C₂×C₄×C₇₃	C₂³×C₄	1	4	yes	—
333	C₂×C₄×C₇₃	C₂³×C₄	1	1	yes	characteristic
334	C₂×C₄×C₇₃	C₂³×C₄	1	1	yes	characteristic
335	C₂×C₄×C₇₃	C₂³×C₄	1	1	yes	characteristic
336	C₂×C₄×C₇₃	2₋¹⁺⁴	1	2	yes	—
337	C₂×C₄×C₇₃	2₋¹⁺⁴	1	2	yes	—
338	C₂×C₄×C₇₃	C₂⁵	1	1	yes	characteristic
339	C₂×Dic₇₃	—	2	2	no	—
340	C₂×Dic₇₃	—	2	2	no	—
341	C₂×Dic₇₃	—	4	1	no	—
342	C₂×Dic₇₃	C₂³×C₄	1	1	yes	characteristic
343	C₂×Dic₇₃	C₂³×C₄	1	1	yes	characteristic
344	C₂×Dic₇₃	C₂³×C₄	1	1	yes	characteristic
345	C₂×Dic₇₃	C₂³×C₄	1	1	yes	characteristic
346	C₂×Dic₇₃	C₂³×C₄	1	1	yes	characteristic
347	C₂×Dic₇₃	C₂³×C₄	1	4	yes	—
348	C₂×Dic₇₃	C₂³×C₄	1	4	yes	—
349	C₂×Dic₇₃	C₂³×C₄	1	1	yes	characteristic
350	C₄×D₇₃	—	2	2	no	—
351	C₄×D₇₃	—	2	8	no	—
352	C₄×D₇₃	—	2	2	no	—
353	C₄×D₇₃	—	2	2	no	—
354	C₄×D₇₃	—	2	2	no	—
355	C₄×D₇₃	—	2	2	no	—
356	C₄×D₇₃	—	2	2	no	—
357	C₄×D₇₃	—	2	1	no	—
358	C₄×D₇₃	—	2	1	no	—
359	C₄×D₇₃	—	2	1	no	—
360	C₄×D₇₃	—	2	1	no	—
361	C₄×D₇₃	—	2	2	no	—
362	C₄×D₇₃	—	4	1	no	—
363	C₄×D₇₃	—	4	1	no	—
364	C₄×D₇₃	—	4	4	no	—
365	C₄×D₇₃	#131	1	4	yes	—
366	Dic₁₄₆	—	2	4	no	—
367	Dic₁₄₆	—	2	4	no	—
368	Dic₁₄₆	—	2	8	no	—
369	Dic₁₄₆	—	4	4	no	—
370	C₈×C₇₃	—	2	1	no	—
371	C₈×C₇₃	—	2	1	no	—
372	C₈×C₇₃	—	2	1	no	—
373	C₈×C₇₃	—	2	1	no	—
374	C₈×C₇₃	—	2	4	no	—
375	#10596831	—	2	1	no	—
376	#10596831	—	2	1	no	—
377	#10596831	—	2	1	no	—
378	#10596831	—	2	1	no	—
379	#10596831	—	2	4	no	—
380	C₂²×C₇₃	—	2	1	no	—
381	C₂²×C₇₃	—	2	1	no	—
382	C₂²×C₇₃	#519	1	2	yes	—
383	C₂²×C₇₃	C₂⁴×C₄	1	1	yes	characteristic
384	C₂×D₇₃	—	2	1	no	—
385	C₂×D₇₃	—	2	1	no	—
386	C₂×D₇₃	—	2	1	no	—
387	C₂×D₇₃	—	2	1	no	—
388	C₂×D₇₃	—	2	1	no	—
389	C₂×D₇₃	—	4	4	no	—
390	C₂×D₇₃	C₂×#131	1	2	yes	—
391	C₄×C₇₃	—	2	4	no	—
392	C₄×C₇₃	—	2	1	no	—
393	C₄×C₇₃	—	2	4	no	—
394	C₄×C₇₃	—	2	1	no	—
395	C₄×C₇₃	#519	1	2	yes	—
396	C₄×C₇₃	C₂×#131	1	2	yes	—
397	C₄×C₇₃	#568	1	2	yes	—
398	C₄×C₇₃	C₂×2₋¹⁺⁴	1	1	yes	characteristic
399	C₄×C₇₃	C₂×2₋¹⁺⁴	1	1	yes	characteristic
400	Dic₇₃	—	2	1	no	—
401	Dic₇₃	—	2	1	no	—
402	Dic₇₃	—	2	4	no	—
403	Dic₇₃	—	2	1	no	—
404	Dic₇₃	—	2	4	no	—
405	Dic₇₃	—	2	1	no	—
406	Dic₇₃	—	2	1	no	—
407	Dic₇₃	C₂×#131	1	2	yes	—
408	#60250	—	73	1	no	maximal, Sylow
409	C₂×C₇₃	—	2	2	no	—
410	C₂×C₇₃	C₂×#519	1	1	yes	characteristic
411	C₂×C₇₃	C₂²×#131	1	1	yes	characteristic
412	C₂×C₇₃	C₂×#568	1	1	yes	characteristic
413	D₇₃	—	2	2	no	—
414	D₇₃	—	4	1	no	—
415	C₂×#533	—	73	1	no	—
416	#2986	—	73	2	no	—
417	#2986	—	73	2	no	—
418	#2985	—	73	2	no	—
419	#2985	—	73	2	no	—
420	#2984	—	73	2	no	—
421	#2984	—	73	2	no	—
422	#2983	—	73	2	no	—
423	#2982	—	73	2	no	—
424	#2962	—	73	2	no	—
425	#2962	—	73	2	no	—
426	#2960	—	73	1	no	—
427	#2960	—	73	1	no	—
428	#2960	—	73	1	no	—
429	#2960	D₇₃	1	1	yes	characteristic, complemented
430	#2924	—	73	2	no	—
431	#2924	—	73	2	no	—
432	#2920	—	73	1	no	—
433	C₂×#431	—	73	1	no	—
434	C₇₃	#60250	1	1	yes	characteristic, complemented, Sylow
435	#533	—	73	1	no	—
436	#533	—	73	1	no	—
437	#533	—	73	2	no	—
438	#533	—	73	2	no	—
439	#533	—	73	2	no	—
440	#533	—	73	2	no	—
441	#533	—	73	2	no	—
442	#533	—	73	2	no	—
443	#533	—	73	1	no	—
444	#533	C₂×D₇₃	1	1	yes	characteristic
445	C₂×C₄⋊Q₈	—	73	1	no	—
446	C₂×C₄⋊Q₈	—	73	1	no	—
447	C₂×#125	—	73	2	no	—
448	C₂×C₂²⋊Q₈	—	73	2	no	—
449	C₂×C₂²⋊Q₈	—	73	2	no	—
450	C₂×C₄×Q₈	—	73	2	no	—
451	C₂×C₄×Q₈	—	73	2	no	—
452	C₂×#117	—	73	2	no	—
453	C₂²×C₄²	—	73	1	no	—
454	#446	—	73	2	no	—
455	#446	—	73	2	no	—
456	#446	—	73	2	no	—
457	#446	—	73	2	no	—
458	#446	—	73	4	no	—
459	#446	—	73	4	no	—
460	#446	—	73	4	no	—
461	#446	—	73	4	no	—
462	#446	—	73	4	no	—
463	#446	—	73	2	no	—
464	#446	—	73	2	no	—
465	#446	—	73	4	no	—
466	#446	C₂×D₇₃	1	2	yes	complemented
467	#446	C₂×D₇₃	1	2	yes	complemented
468	C₈×Q₈	—	73	2	no	—
469	C₈×Q₈	—	73	2	no	—
470	C₈×Q₈	—	73	2	no	—
471	C₈×Q₈	—	73	2	no	—
472	C₈×Q₈	—	73	4	no	—
473	C₈×Q₈	—	73	2	no	—
474	C₈×Q₈	—	73	2	no	—
475	C₈×Q₈	—	73	4	no	—
476	C₈×Q₈	C₂×D₇₃	1	2	yes	complemented
477	C₈×Q₈	C₂×D₇₃	1	2	yes	complemented
478	#433	—	73	4	no	—
479	#433	—	73	4	no	—
480	#433	—	73	4	no	—
481	#433	—	73	4	no	—
482	#432	—	73	2	no	—
483	#432	—	73	2	no	—
484	#432	—	73	4	no	—
485	#432	—	73	4	no	—
486	#431	—	73	2	no	—
487	#431	—	73	2	no	—
488	#431	—	73	4	no	—
489	#431	—	73	1	no	—
490	#431	—	73	1	no	—
491	#431	—	73	1	no	—
492	#431	—	73	1	no	—
493	#431	—	73	1	no	—
494	#431	—	73	1	no	—
495	#431	—	73	1	no	—
496	#431	—	73	1	no	—
497	#431	—	73	4	no	—
498	#424	—	73	2	no	—
499	#424	—	73	2	no	—
500	#424	—	73	2	no	—
501	#424	C₂×D₇₃	1	2	yes	—
502	#423	—	73	1	no	—
503	#423	C₂×D₇₃	1	1	yes	characteristic
504	C₂×C₄⋊C₈	—	73	1	no	—
505	C₂×C₄⋊C₈	—	73	1	no	—
506	#407	—	73	2	no	—
507	C₂×C₂²⋊C₈	—	73	1	no	—
508	C₂×C₂²⋊C₈	—	73	1	no	—
509	#405	—	73	2	no	—
510	#405	—	73	2	no	—
511	#405	—	73	2	no	—
512	#405	C₂×D₇₃	1	2	yes	—
513	C₄×M₁₆	—	73	2	no	—
514	C₂×C₄×C₈	—	73	1	no	—
515	C₂×C₄×C₈	C₂×D₇₃	1	1	yes	characteristic
516	C₂²×Q₈	—	73	2	no	—
517	C₂²×Q₈	—	73	2	no	—
518	C₂³×C₄	—	73	1	no	—
519	C₂³×C₄	—	73	1	no	—
520	C₂³×C₄	—	73	1	no	—
521	C₂×M₁₆	—	73	2	no	—
522	C₂×M₁₆	C₂²×D₇₃	1	2	yes	—
523	C₂²×C₈	—	73	1	no	—
524	C₂²×C₈	—	73	1	no	—
525	C₂²×C₈	C₂²×D₇₃	1	1	yes	characteristic
526	C₂²×C₈	C₂²×D₇₃	1	1	yes	characteristic
527	C₄⋊Q₈	—	73	2	no	—
528	C₄⋊Q₈	—	73	2	no	—
529	C₄⋊Q₈	—	73	2	no	—
530	C₄⋊Q₈	—	73	2	no	—
531	C₄⋊Q₈	—	73	2	no	—
532	C₄⋊Q₈	—	73	2	no	—
533	C₄⋊Q₈	—	73	1	no	—
534	C₄⋊Q₈	—	73	1	no	—
535	C₄⋊Q₈	C₄×D₇₃	1	1	yes	characteristic
536	C₄⋊Q₈	C₄×D₇₃	1	1	yes	characteristic
537	#125	—	73	4	no	—
538	#125	—	73	4	no	—
539	#125	—	73	2	no	—
540	#125	—	73	2	no	—
541	#125	—	73	2	no	—
542	#125	C₄×D₇₃	1	2	yes	—
543	C₂²⋊Q₈	—	73	2	no	—
544	C₂²⋊Q₈	—	73	2	no	—
545	C₂²⋊Q₈	—	73	2	no	—
546	C₂²⋊Q₈	—	73	2	no	—
547	C₂²⋊Q₈	—	73	4	no	—
548	C₂²⋊Q₈	—	73	4	no	—
549	C₂²⋊Q₈	—	73	2	no	—
550	C₂²⋊Q₈	—	73	2	no	—
551	C₂²⋊Q₈	—	73	4	no	—
552	C₂²⋊Q₈	—	73	4	no	—
553	C₂²⋊Q₈	C₄×D₇₃	1	2	yes	—
554	C₂²⋊Q₈	C₄×D₇₃	1	2	yes	—
555	C₄×Q₈	—	73	2	no	—
556	C₄×Q₈	—	73	2	no	—
557	C₄×Q₈	—	73	2	no	—
558	C₄×Q₈	—	73	2	no	—
559	C₄×Q₈	—	73	4	no	—
560	C₄×Q₈	—	73	4	no	—
561	C₄×Q₈	—	73	4	no	—
562	C₄×Q₈	—	73	2	no	—
563	C₄×Q₈	—	73	2	no	—
564	C₄×Q₈	—	73	4	no	—
565	C₄×Q₈	C₂²×D₇₃	1	2	yes	—
566	C₄×Q₈	C₂²×D₇₃	1	2	yes	—
567	#117	—	73	2	no	—
568	#117	—	73	2	no	—
569	#117	—	73	2	no	—
570	#117	—	73	4	no	—
571	#117	—	73	4	no	—
572	#117	C₂²×D₇₃	1	2	yes	—
573	C₂×C₄⋊C₄	—	73	2	no	—
574	C₂×C₄⋊C₄	—	73	2	no	—
575	C₂×C₄⋊C₄	—	73	4	no	—
576	C₂×C₄⋊C₄	—	73	4	no	—
577	C₂×C₄⋊C₄	—	73	2	no	—
578	C₂×C₄⋊C₄	—	73	2	no	—
579	C₂×C₂²⋊C₄	—	73	4	no	—
580	C₂×C₄²	—	73	1	no	—
581	C₂×C₄²	—	73	1	no	—
582	C₂×C₄²	—	73	1	no	—
583	C₂×C₄²	—	73	1	no	—
584	C₂×C₄²	—	73	1	no	—
585	C₂×C₄²	—	73	1	no	—
586	C₂×C₄²	—	73	1	no	—
587	C₂×C₄²	—	73	4	no	—
588	C₂×C₄²	—	73	1	no	—
589	C₂×C₄²	—	73	1	no	—
590	C₂×C₄²	—	73	1	no	—
591	C₂×C₄²	—	73	1	no	—
592	C₂×C₄²	C₂²×D₇₃	1	1	yes	characteristic
593	C₄⋊C₈	—	73	1	no	—
594	C₄⋊C₈	—	73	1	no	—
595	C₄⋊C₈	—	73	1	no	—
596	C₄⋊C₈	—	73	1	no	—
597	C₄⋊C₈	—	73	1	no	—
598	C₄⋊C₈	—	73	1	no	—
599	C₄⋊C₈	—	73	1	no	—
600	C₄⋊C₈	—	73	1	no	—
601	C₄⋊C₈	—	73	4	no	—
602	C₄⋊C₈	—	73	4	no	—
603	C₄⋊C₈	—	73	4	no	—
604	C₄⋊C₈	—	73	4	no	—
605	C₄⋊C₈	—	73	2	no	—
606	C₄⋊C₈	—	73	2	no	—
607	C₄⋊C₈	—	73	4	no	—
608	C₄⋊C₈	—	73	4	no	—
609	C₄⋊C₈	C₂²×D₇₃	1	2	yes	—
610	C₄⋊C₈	C₂²×D₇₃	1	2	yes	—
611	C₄⋊C₈	C₂²×D₇₃	1	4	yes	—
612	C₄⋊C₈	C₂²×D₇₃	1	4	yes	—
613	C₂²⋊C₈	—	73	1	no	—
614	C₂²⋊C₈	—	73	1	no	—
615	C₂²⋊C₈	—	73	1	no	—
616	C₂²⋊C₈	—	73	1	no	—
617	C₂²⋊C₈	—	73	1	no	—
618	C₂²⋊C₈	—	73	1	no	—
619	C₂²⋊C₈	—	73	1	no	—
620	C₂²⋊C₈	—	73	1	no	—
621	C₂²⋊C₈	—	73	4	no	—
622	C₂²⋊C₈	—	73	4	no	—
623	#97	—	73	4	no	—
624	#97	—	73	4	no	—
625	#97	—	73	4	no	—
626	#97	—	73	4	no	—
627	#97	C₂²×D₇₃	1	4	yes	—
628	C₄×C₈	—	73	4	no	—
629	C₄×C₈	—	73	4	no	—
630	C₄×C₈	—	73	4	no	—
631	C₄×C₈	—	73	1	no	—
632	C₄×C₈	—	73	1	no	—
633	C₄×C₈	—	73	1	no	—
634	C₄×C₈	—	73	1	no	—
635	C₄×C₈	—	73	4	no	—
636	C₄×C₈	C₂²×D₇₃	1	1	yes	characteristic
637	C₄×C₈	C₂²×D₇₃	1	1	yes	characteristic
638	C₄×C₈	C₂²×D₇₃	1	1	yes	characteristic
639	C₄×C₈	C₂²×D₇₃	1	1	yes	characteristic
640	C₄×C₈	C₂²×D₇₃	1	4	yes	—
641	C₂⁴	—	73	1	no	—
642	C₂×Q₈	—	292	4	no	—
643	C₂×Q₈	—	73	4	no	—
644	C₂×Q₈	—	73	4	no	—
645	C₂×Q₈	—	73	2	no	—
646	C₂×Q₈	—	73	2	no	—
647	C₂×Q₈	—	146	8	no	—
648	C₂×Q₈	C₂×C₄×D₇₃	1	2	yes	—
649	C₂×Q₈	C₂×C₄×D₇₃	1	2	yes	—
650	C₂²×C₄	—	292	2	no	—
651	C₂²×C₄	—	73	1	no	—
652	C₂²×C₄	—	73	1	no	—
653	C₂²×C₄	—	73	1	no	—
654	C₂²×C₄	—	73	4	no	—
655	C₂²×C₄	—	73	1	no	—
656	C₂²×C₄	—	73	1	no	—
657	C₂²×C₄	—	73	1	no	—
658	C₂²×C₄	—	73	1	no	—
659	C₂²×C₄	—	73	1	no	—
660	C₂²×C₄	—	73	1	no	—
661	C₂²×C₄	—	73	1	no	—
662	C₂²×C₄	—	73	1	no	—
663	C₂²×C₄	—	73	1	no	—
664	C₂²×C₄	—	73	1	no	—
665	C₂²×C₄	—	73	4	no	—
666	C₂²×C₄	—	73	1	no	—
667	C₂²×C₄	—	73	1	no	—
668	C₂²×C₄	—	146	4	no	—
669	C₂²×C₄	—	146	2	no	—
670	C₂²×C₄	—	146	2	no	—
671	C₂²×C₄	C₂×C₄×D₇₃	1	1	yes	characteristic
672	C₂²×C₄	C₂×C₄×D₇₃	1	1	yes	characteristic
673	C₂²×C₄	C₂³×D₇₃	1	1	yes	characteristic
674	M₁₆	—	2	4	no	—
675	M₁₆	—	146	4	no	—
676	C₂×C₈	—	2	2	no	—
677	C₂×C₈	—	2	2	no	—
678	C₂×C₈	—	73	1	no	—
679	C₂×C₈	—	73	1	no	—
680	C₂×C₈	—	73	4	no	—
681	C₂×C₈	—	73	1	no	—
682	C₂×C₈	—	73	1	no	—
683	C₂×C₈	—	146	2	no	—
684	C₂×C₈	—	146	2	no	—
685	C₂×C₈	C₂³×D₇₃	1	1	yes	characteristic
686	C₂×C₈	C₂³×D₇₃	1	4	yes	—
687	C₂×C₈	C₂³×D₇₃	1	1	yes	characteristic
688	C₂×C₈	C₂³×D₇₃	1	1	yes	characteristic
689	C₂×C₈	C₂³×D₇₃	1	1	yes	characteristic
690	C₄⋊C₄	—	73	4	no	—
691	C₄⋊C₄	—	73	4	no	—
692	C₄⋊C₄	—	73	4	no	—
693	C₄⋊C₄	—	73	4	no	—
694	C₄⋊C₄	—	73	4	no	—
695	C₄⋊C₄	—	73	4	no	—
696	C₄⋊C₄	—	73	4	no	—
697	C₄⋊C₄	—	73	4	no	—
698	C₄⋊C₄	—	73	2	no	—
699	C₄⋊C₄	—	73	2	no	—
700	C₄⋊C₄	—	73	4	no	—
701	C₄⋊C₄	—	73	4	no	—
702	C₄⋊C₄	—	73	2	no	—
703	C₄⋊C₄	—	73	2	no	—
704	C₄⋊C₄	C₂×C₄×D₇₃	1	2	yes	—
705	C₄⋊C₄	C₂×C₄×D₇₃	1	2	yes	—
706	C₄⋊C₄	C₂×C₄×D₇₃	1	4	yes	—
707	C₄⋊C₄	C₂×C₄×D₇₃	1	4	yes	—
708	C₄⋊C₄	C₂×C₄×D₇₃	1	2	yes	—
709	C₄⋊C₄	C₂×C₄×D₇₃	1	2	yes	—
710	C₂²⋊C₄	—	73	4	no	—
711	C₂²⋊C₄	—	73	4	no	—
712	C₂²⋊C₄	—	73	4	no	—
713	C₂²⋊C₄	C₂×C₄×D₇₃	1	4	yes	—
714	C₄²	—	73	1	no	—
715	C₄²	—	73	1	no	—
716	C₄²	—	73	1	no	—
717	C₄²	—	73	1	no	—
718	C₄²	—	73	1	no	—
719	C₄²	—	73	1	no	—
720	C₄²	—	73	1	no	—
721	C₄²	—	73	1	no	—
722	C₄²	—	73	1	no	—
723	C₄²	—	73	1	no	—
724	C₄²	—	73	4	no	—
725	C₄²	—	73	4	no	—
726	C₄²	—	73	1	no	—
727	C₄²	—	73	4	no	—
728	C₄²	—	73	1	no	—
729	C₄²	C₂×C₄×D₇₃	1	1	yes	characteristic
730	C₄²	C₂×C₄×D₇₃	1	1	yes	characteristic
731	C₄²	C₂³×D₇₃	1	1	yes	characteristic
732	C₄²	C₂³×D₇₃	1	1	yes	characteristic
733	C₄²	C₂³×D₇₃	1	4	yes	—
734	C₂³	—	292	1	no	—
735	C₂³	—	73	1	no	—
736	C₂³	—	73	1	no	—
737	C₂³	—	146	2	no	—
738	C₂³	—	146	2	no	—
739	C₂³	C₂²×C₄×D₇₃	1	1	yes	characteristic
740	Q₈	—	2	4	no	—
741	Q₈	—	2	4	no	—
742	Q₈	—	292	4	no	—
743	Q₈	—	146	8	no	—
744	Q₈	—	146	4	no	—
745	Q₈	—	146	4	no	—
746	C₂×C₄	—	2	2	no	—
747	C₂×C₄	—	2	2	no	—
748	C₂×C₄	—	292	1	no	—
749	C₂×C₄	—	292	1	no	—
750	C₂×C₄	—	292	4	no	—
751	C₂×C₄	—	292	1	no	—
752	C₂×C₄	—	73	1	no	—
753	C₂×C₄	—	73	4	no	—
754	C₂×C₄	—	73	1	no	—
755	C₂×C₄	—	73	1	no	—
756	C₂×C₄	—	73	1	no	—
757	C₂×C₄	—	73	1	no	—
758	C₂×C₄	—	73	1	no	—
759	C₂×C₄	—	73	4	no	—
760	C₂×C₄	—	73	4	no	—
761	C₂×C₄	—	146	2	no	—
762	C₂×C₄	—	146	2	no	—
763	C₂×C₄	—	146	8	no	—
764	C₂×C₄	—	146	2	no	—
765	C₂×C₄	—	146	2	no	—
766	C₂×C₄	—	146	1	no	—
767	C₂×C₄	—	146	1	no	—
768	C₂×C₄	—	146	1	no	—
769	C₂×C₄	—	146	1	no	—
770	C₂×C₄	—	146	2	no	—
771	C₂×C₄	—	146	2	no	—
772	C₂×C₄	—	146	2	no	—
773	C₂×C₄	—	146	2	no	—
774	C₂×C₄	—	146	2	no	—
775	C₂×C₄	C₂²×C₄×D₇₃	1	1	yes	characteristic
776	C₂×C₄	C₂²×C₄×D₇₃	1	1	yes	characteristic
777	C₂×C₄	C₂²×C₄×D₇₃	1	4	yes	—
778	C₂×C₄	C₂²×C₄×D₇₃	1	4	yes	—
779	C₂×C₄	C₂²×C₄×D₇₃	1	1	yes	characteristic
780	C₂×C₄	C₂²×C₄×D₇₃	1	1	yes	characteristic
781	C₂×C₄	C₂²×C₄×D₇₃	1	1	yes	characteristic
782	C₂×C₄	#14556638	1	2	yes	—
783	C₂×C₄	#14556639	1	2	yes	—
784	C₂×C₄	C₂⁴×D₇₃	1	1	yes	characteristic
785	C₈	—	2	1	no	—
786	C₈	—	2	1	no	—
787	C₈	—	2	4	no	—
788	C₈	—	2	1	no	—
789	C₈	—	2	1	no	—
790	C₈	—	146	1	no	—
791	C₈	—	146	1	no	—
792	C₈	—	146	1	no	—
793	C₈	—	146	1	no	—
794	C₈	—	146	4	no	—
795	C₂²	—	2	1	no	—
796	C₂²	—	2	1	no	—
797	C₂²	—	292	4	no	—
798	C₂²	—	73	2	no	—
799	C₂²	—	146	1	no	—
800	C₂²	—	146	1	no	—
801	C₂²	—	146	1	no	—
802	C₂²	—	146	1	no	—
803	C₂²	—	146	1	no	—
804	C₂²	#17989063	1	2	yes	—
805	C₂²	C₂³×C₄×D₇₃	1	1	yes	characteristic
806	C₄	—	2	1	no	—
807	C₄	—	2	4	no	—
808	C₄	—	2	1	no	—
809	C₄	—	2	4	no	—
810	C₄	—	73	2	no	—
811	C₄	—	146	1	no	—
812	C₄	—	146	4	no	—
813	C₄	—	146	1	no	—
814	C₄	—	146	1	no	—
815	C₄	—	146	4	no	—
816	C₄	—	146	1	no	—
817	C₄	—	146	1	no	—
818	C₄	#17989063	1	2	yes	—
819	C₄	#131×D₇₃	1	2	yes	—
820	C₄	#17989352	1	2	yes	—
821	C₄	C₂×#14556638	1	1	yes	characteristic
822	C₄	C₂×#14556639	1	1	yes	characteristic
823	C₂	—	2	2	no	—
824	C₂	—	292	1	no	—
825	C₂	—	146	2	no	—
826	C₂	C₂×#17989063	1	1	yes	characteristic
827	C₂	C₂×#131×D₇₃	1	1	yes	characteristic
828	C₂	C₂×#17989352	1	1	yes	characteristic

	subgroup	G/H
center, Frattini	C₂×C₄	C₂⁴×D₇₃
commutator, socle	C₂²×C₇₃	C₂⁴×C₄
Fitting	C₇₃×#2960	C₂
prime radical	C₂³×D₇₃	C₂²×C₄
cosocle	C₂×C₄×C₇₃	C₂⁵
hypercenter	#2960	D₇₃
hypocenter	C₇₃	#60250
LCS	G ▷ C₂²×C₇₃ ▷ C₇₃
UCS	C₁ ◁ C₂×C₄ ◁ #2960

Complements

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

N	H ≅ G/N	type
2. #22619031	C₂	semidirect
3. #22619029	C₂	semidirect
4. #22619027	C₂	semidirect
5. #22619022	C₂	semidirect
6. #22619019	C₂	semidirect
7. #22619017	C₂	semidirect
8. #22619013	C₂	semidirect
9. #22619010	C₂	semidirect
10. #22618877	C₂	semidirect
11. #22618875	C₂	semidirect
12. #22618866	C₂	semidirect
13. #22618865	C₂	semidirect
14. #22618861	C₂	semidirect
19. C₇₃×#2960	C₂	semidirect
38. #17988718	C₂²	semidirect
39. #17988718	C₂²	semidirect
40. #17988717	C₂²	semidirect
41. #17988717	C₂²	semidirect
42. #17988717	C₂²	semidirect
43. #17988716	C₂²	semidirect
44. #17988716	C₂²	semidirect
45. #17988715	C₂²	semidirect
46. #17988715	C₂²	semidirect
47. #17988714	C₂²	semidirect
48. #17988714	C₂²	semidirect
49. #17988714	C₂²	semidirect
50. Q₈×#10596831	C₂²	semidirect
51. Q₈×#10596831	C₂²	semidirect
52. C₈×Dic₁₄₆	C₂²	semidirect
53. C₈×Dic₁₄₆	C₂²	semidirect
54. C₈×Dic₁₄₆	C₂²	semidirect
55. #17988711	C₂²	semidirect
56. #17988711	C₂²	semidirect
57. #17988711	C₂²	semidirect
93. #446×C₇₃	C₂²	semidirect
94. #446×C₇₃	C₂²	semidirect
95. C₈×Q₈×C₇₃	C₂²	semidirect
96. C₈×Q₈×C₇₃	C₂²	semidirect
429. #2960	D₇₃	semidirect
434. C₇₃	#60250	semidirect
466. #446	C₂×D₇₃	semidirect
467. #446	C₂×D₇₃	semidirect
476. C₈×Q₈	C₂×D₇₃	semidirect
477. C₈×Q₈	C₂×D₇₃	semidirect

Maximal subgroups

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

subgroup	index
#533×D₇₃	2
#22619031	2
#22619029	2
#22619027	2
#22619022	2
#22619019	2
#22619017	2
#22619013	2
#22619010	2
#22618877	2
#22618875	2
#22618866	2
#22618865	2
#22618861	2
#22618588	2
#22618586	2
#22618563	2
C₂×#17988638	2
C₇₃×#2960	2
#60250	73