Subgroups — #2949×D₇₃ #33950114

Order 18688.

2870 conjugacy classes of subgroups.

The subgroup lattice has 938 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂²×SD₁₆×D₇₃	C₂	1	1	yes	maximal, characteristic
2	#519×D₇₃	C₂	1	1	yes	maximal, characteristic, complemented
3	#518×D₇₃	C₂	1	1	yes	maximal, characteristic
4	#22618793	C₂	1	1	yes	maximal, characteristic, complemented
5	#22618792	C₂	1	1	yes	maximal, characteristic, complemented
6	#22618791	C₂	1	1	yes	maximal, characteristic, complemented
7	#22618790	C₂	1	1	yes	maximal, characteristic, complemented
8	#22618789	C₂	1	1	yes	maximal, characteristic, complemented
9	#22618788	C₂	1	1	yes	maximal, characteristic, complemented
10	#22618787	C₂	1	4	yes	maximal, complemented
11	#22618786	C₂	1	1	yes	maximal, characteristic, complemented
12	#22618785	C₂	1	4	yes	maximal, complemented
13	#440×D₇₃	C₂	1	4	yes	maximal, complemented
14	C₄×SD₁₆×D₇₃	C₂	1	4	yes	maximal, complemented
15	#427×D₇₃	C₂	1	1	yes	maximal, characteristic, complemented
16	#419×D₇₃	C₂	1	1	yes	maximal, characteristic, complemented
17	#418×D₇₃	C₂	1	1	yes	maximal, characteristic
18	#405×D₇₃	C₂	1	1	yes	maximal, characteristic, complemented
19	C₇₃×#2949	C₂	1	1	yes	maximal, characteristic, complemented
20	C₂²×Q₈×D₇₃	C₂²	1	1	yes	characteristic
21	C₂²×D₄×D₇₃	C₂²	1	1	yes	characteristic
22	C₂²×#11924017	C₂²	1	1	yes	characteristic
23	C₂²×#11924016	C₂²	1	1	yes	characteristic
24	C₂²×#11924015	C₂²	1	1	yes	characteristic
25	C₂×SD₁₆×D₇₃	C₄	1	16	yes	complemented
26	C₂×SD₁₆×D₇₃	C₂²	1	2	yes	—
27	C₂×SD₁₆×D₇₃	C₂²	1	2	yes	—
28	C₂×SD₁₆×D₇₃	C₂²	1	2	yes	—
29	C₂×SD₁₆×D₇₃	C₂²	1	2	yes	—
30	C₂×M₁₆×D₇₃	C₂²	1	1	yes	characteristic
31	C₂²×C₈×D₇₃	C₂²	1	1	yes	characteristic
32	#17989065	C₂²	1	1	yes	characteristic, complemented
33	#17989064	—	2	2	no	—
34	#17989064	C₂²	1	1	yes	characteristic, complemented
35	#17989064	C₂²	1	1	yes	characteristic, complemented
36	#17989063	—	2	2	no	—
37	#17989063	C₂²	1	4	yes	complemented
38	#17989062	C₂²	1	1	yes	characteristic
39	#17989061	C₂²	1	1	yes	characteristic
40	#17989061	C₂²	1	1	yes	characteristic
41	#17989060	—	2	2	no	—
42	#17989059	—	2	2	no	—
43	#17989059	C₂²	1	4	yes	—
44	C₄×Q₈×D₇₃	—	2	2	no	—
45	C₄×Q₈×D₇₃	C₂²	1	4	yes	complemented
46	C₄×D₄×D₇₃	—	2	2	no	—
47	C₄×D₄×D₇₃	C₂²	1	4	yes	—
48	#117×D₇₃	—	2	2	no	—
49	#117×D₇₃	C₂²	1	1	yes	characteristic
50	#117×D₇₃	C₂²	1	1	yes	characteristic
51	#117×D₇₃	C₂²	1	1	yes	characteristic
52	C₂×C₂²⋊C₄×D₇₃	—	2	2	no	—
53	#17988690	C₂²	1	4	yes	complemented
54	#17988689	C₂²	1	4	yes	complemented
55	#17988688	C₂²	1	4	yes	complemented
56	#17988687	C₂²	1	4	yes	complemented
57	#17988686	C₂²	1	4	yes	complemented
58	#17988685	C₂²	1	4	yes	complemented
59	#17988684	C₂²	1	4	yes	complemented
60	#17988678	C₂²	1	4	yes	complemented
61	C₄×#11924017	C₂²	1	4	yes	complemented
62	SD₁₆×Dic₇₃	C₂²	1	4	yes	complemented
63	C₄×#11924015	C₂²	1	4	yes	complemented
64	#17988674	C₂²	1	4	yes	complemented
65	C₄×#11924016	C₂²	1	4	yes	complemented
66	#17988672	C₂²	1	4	yes	complemented
67	#17988625	C₂²	1	1	yes	characteristic, complemented
68	#17988624	C₂²	1	2	yes	complemented
69	#17988623	C₂²	1	1	yes	characteristic, complemented
70	#17988623	C₂²	1	1	yes	characteristic, complemented
71	#17988622	C₂²	1	2	yes	complemented
72	#107×D₇₃	C₂²	1	2	yes	complemented
73	#106×D₇₃	C₂²	1	2	yes	complemented
74	#17988597	C₂²	1	1	yes	characteristic, complemented
75	#17988596	C₂²	1	1	yes	characteristic, complemented
76	#17988595	C₂²	1	1	yes	characteristic, complemented
77	#17988594	C₂²	1	4	yes	complemented
78	#17988593	C₂²	1	1	yes	characteristic
79	#17988592	C₂²	1	1	yes	characteristic
80	#17988591	C₂²	1	1	yes	characteristic
81	#17988590	C₂²	1	4	yes	—
82	#103×D₇₃	C₂²	1	4	yes	complemented
83	#102×D₇₃	C₂²	1	4	yes	—
84	#17988545	C₂²	1	1	yes	characteristic, complemented
85	#17988544	C₂²	1	2	yes	complemented
86	#17988543	C₂²	1	1	yes	characteristic, complemented
87	#17988542	C₂²	1	1	yes	characteristic, complemented
88	#17988541	C₂²	1	2	yes	complemented
89	#97×D₇₃	C₂²	1	2	yes	complemented
90	C₄×C₈×D₇₃	C₂²	1	2	yes	complemented
91	C₂²×SD₁₆×C₇₃	C₂²	1	1	yes	characteristic
92	#519×C₇₃	C₂²	1	1	yes	characteristic, complemented
93	#518×C₇₃	C₂²	1	1	yes	characteristic
94	#440×C₇₃	C₂²	1	4	yes	complemented
95	C₄×SD₁₆×C₇₃	C₂²	1	4	yes	complemented
96	#427×C₇₃	C₂²	1	1	yes	characteristic, complemented
97	#419×C₇₃	C₂²	1	1	yes	characteristic, complemented
98	#418×C₇₃	C₂²	1	1	yes	characteristic
99	#405×C₇₃	C₂²	1	1	yes	characteristic, complemented
100	C₂⁴×D₇₃	—	2	1	no	—
101	C₂²×Dic₁₄₆	—	2	1	no	—
102	C₂²×Dic₁₄₆	C₂³	1	1	yes	characteristic
103	C₂×Q₈×D₇₃	—	2	1	no	—
104	C₂×Q₈×D₇₃	—	2	1	no	—
105	C₂×Q₈×D₇₃	—	2	4	no	—
106	C₂×Q₈×D₇₃	C₂×C₄	1	8	yes	complemented
107	C₂×Q₈×D₇₃	C₂³	1	2	yes	—
108	C₂×Q₈×D₇₃	C₂³	1	2	yes	—
109	C₂²×D₂₉₂	C₂³	1	1	yes	characteristic
110	C₂²×C₂²⋊D₇₃	—	2	1	no	—
111	C₂×D₄×D₇₃	—	2	1	no	—
112	C₂×D₄×D₇₃	—	2	1	no	—
113	C₂×D₄×D₇₃	—	2	4	no	—
114	C₂×D₄×D₇₃	C₂×C₄	1	8	yes	—
115	C₂×D₄×D₇₃	C₂³	1	2	yes	—
116	C₂×D₄×D₇₃	C₂³	1	2	yes	—
117	C₂²×C₄×D₇₃	—	2	1	no	—
118	C₂²×C₄×D₇₃	—	2	4	no	—
119	C₂²×C₄×D₇₃	C₂³	1	1	yes	characteristic
120	C₂×#11924017	C₂×C₄	1	8	yes	complemented
121	C₂×#11924017	C₂³	1	2	yes	—
122	C₂×#11924017	C₂³	1	2	yes	—
123	C₂×#11924016	C₂×C₄	1	8	yes	complemented
124	C₂×#11924016	C₂³	1	2	yes	—
125	C₂×#11924016	C₂³	1	2	yes	—
126	C₂×#11924015	C₂×C₄	1	8	yes	complemented
127	C₂×#11924015	C₂³	1	2	yes	—
128	C₂×#11924015	C₂³	1	2	yes	—
129	SD₁₆×D₇₃	C₂×C₄	1	16	yes	complemented
130	SD₁₆×D₇₃	C₂×C₄	1	16	yes	complemented
131	SD₁₆×D₇₃	C₂×C₄	1	16	yes	complemented
132	SD₁₆×D₇₃	C₂×C₄	1	16	yes	complemented
133	C₂×#11924012	C₂³	1	1	yes	characteristic
134	C₂×#11924011	C₂³	1	2	yes	—
135	M₁₆×D₇₃	—	2	4	no	—
136	C₂²×#10596831	C₂³	1	1	yes	characteristic
137	C₂×C₈×D₇₃	C₂×C₄	1	8	yes	complemented
138	C₂×C₈×D₇₃	C₂³	1	2	yes	—
139	C₂×C₈×D₇₃	C₂³	1	1	yes	characteristic
140	C₂×C₈×D₇₃	C₂³	1	1	yes	characteristic
141	C₂×C₈×D₇₃	C₂³	1	1	yes	characteristic
142	C₂×C₈×D₇₃	C₂³	1	1	yes	characteristic
143	Q₈×Dic₇₃	—	2	2	no	—
144	Q₈×Dic₇₃	C₂³	1	4	yes	complemented
145	C₄×Dic₁₄₆	—	2	2	no	—
146	C₄×Dic₁₄₆	—	2	4	no	—
147	C₄×Dic₁₄₆	—	2	4	no	—
148	C₄×Dic₁₄₆	C₂³	1	4	yes	complemented
149	#14556556	—	2	4	no	—
150	#14556556	—	2	4	no	—
151	#14556556	—	2	2	no	—
152	#14556556	C₂³	1	4	yes	complemented
153	C₄×D₂₉₂	—	2	2	no	—
154	C₄×D₂₉₂	C₂³	1	4	yes	—
155	D₄×Dic₇₃	—	2	2	no	—
156	D₄×Dic₇₃	C₂³	1	4	yes	—
157	#14556553	—	2	2	no	—
158	#14556553	C₂³	1	4	yes	—
159	C₄×C₂²⋊D₇₃	—	2	4	no	—
160	C₄×C₂²⋊D₇₃	—	2	4	no	—
161	#14556551	—	2	4	no	—
162	#14556551	—	2	4	no	—
163	#14556550	—	2	2	no	—
164	#14556550	C₂³	1	1	yes	characteristic
165	#14556550	C₂³	1	1	yes	characteristic
166	#14556550	C₂³	1	1	yes	characteristic
167	#14556549	—	2	4	no	—
168	#14556549	D₄	1	2	yes	—
169	#14556549	C₂³	1	2	yes	—
170	#14556549	C₂³	1	2	yes	—
171	#14556548	—	2	1	no	—
172	#14556548	—	2	1	no	—
173	#14556548	—	2	4	no	—
174	#14556548	C₂³	1	2	yes	—
175	#14556547	—	2	1	no	—
176	#14556547	—	2	1	no	—
177	#14556547	—	2	2	no	—
178	#14556547	—	2	2	no	—
179	#14556547	D₄	1	2	yes	—
180	C₄⋊C₄×D₇₃	—	2	4	no	—
181	C₄⋊C₄×D₇₃	D₄	1	2	yes	—
182	C₄⋊C₄×D₇₃	C₂³	1	2	yes	—
183	C₄⋊C₄×D₇₃	C₂³	1	2	yes	—
184	C₂×C₂²⋊Dic₇₃	—	2	2	no	—
185	C₂×#11924005	—	2	4	no	—
186	C₂²⋊C₄×D₇₃	—	2	1	no	—
187	C₂²⋊C₄×D₇₃	—	2	1	no	—
188	C₂²⋊C₄×D₇₃	—	2	4	no	—
189	C₂²⋊C₄×D₇₃	—	2	2	no	—
190	C₂²⋊C₄×D₇₃	—	2	4	no	—
191	C₂²⋊C₄×D₇₃	—	2	2	no	—
192	C₂²⋊C₄×D₇₃	D₄	1	2	yes	—
193	C₄²×D₇₃	—	2	4	no	—
194	C₄²×D₇₃	—	2	1	no	—
195	C₄²×D₇₃	—	2	1	no	—
196	C₄²×D₇₃	C₂³	1	2	yes	—
197	#14556525	C₂³	1	2	yes	complemented
198	#14556524	C₂³	1	2	yes	complemented
199	#14556524	C₂³	1	2	yes	complemented
200	#14556523	C₂³	1	2	yes	complemented
201	#14556522	C₂³	1	2	yes	complemented
202	#14556522	C₂³	1	2	yes	complemented
203	#14556516	C₂³	1	4	yes	complemented
204	#14556515	C₂³	1	4	yes	complemented
205	#14556514	C₂³	1	4	yes	complemented
206	#14556513	C₂³	1	4	yes	—
207	#14556512	C₂³	1	4	yes	—
208	#14556511	C₂³	1	4	yes	—
209	#14556502	C₂³	1	2	yes	complemented
210	#14556501	C₂³	1	2	yes	complemented
211	#14556501	C₂³	1	2	yes	complemented
212	C₄×#10596831	C₂³	1	2	yes	complemented
213	C₈×Dic₇₃	C₂³	1	2	yes	complemented
214	C₈×Dic₇₃	C₂³	1	2	yes	complemented
215	C₂²×Q₈×C₇₃	C₂³	1	1	yes	characteristic
216	C₂²×D₄×C₇₃	C₂³	1	1	yes	characteristic
217	C₂×SD₁₆×C₇₃	C₂×C₄	1	8	yes	complemented
218	C₂×SD₁₆×C₇₃	C₂³	1	2	yes	—
219	C₂×SD₁₆×C₇₃	C₂³	1	2	yes	—
220	C₂×M₁₆×C₇₃	C₂³	1	1	yes	characteristic
221	C₂²×C₈×C₇₃	C₂³	1	1	yes	characteristic
222	C₄×Q₈×C₇₃	—	2	2	no	—
223	C₄×Q₈×C₇₃	C₂³	1	4	yes	complemented
224	C₄×D₄×C₇₃	—	2	2	no	—
225	C₄×D₄×C₇₃	C₂³	1	4	yes	—
226	#117×C₇₃	—	2	2	no	—
227	#117×C₇₃	C₂³	1	1	yes	characteristic
228	#117×C₇₃	C₂³	1	1	yes	characteristic
229	#117×C₇₃	C₂³	1	1	yes	characteristic
230	C₂×C₂²⋊C₄×C₇₃	—	2	2	no	—
231	#107×C₇₃	C₂³	1	2	yes	complemented
232	#106×C₇₃	C₂³	1	2	yes	complemented
233	#103×C₇₃	C₂³	1	4	yes	complemented
234	#102×C₇₃	C₂³	1	4	yes	—
235	#97×C₇₃	C₂³	1	2	yes	complemented
236	C₄×C₈×C₇₃	C₂³	1	2	yes	complemented
237	C₂³×D₇₃	—	2	1	no	—
238	C₂³×D₇₃	—	2	2	no	—
239	C₂³×D₇₃	—	2	8	no	—
240	C₂³×D₇₃	—	2	2	no	—
241	C₂³×D₇₃	—	8	4	no	—
242	C₂³×D₇₃	C₂×D₄	1	1	yes	characteristic
243	C₂×Dic₁₄₆	—	2	1	no	—
244	C₂×Dic₁₄₆	—	2	2	no	—
245	C₂×Dic₁₄₆	—	2	8	no	—
246	C₂×Dic₁₄₆	—	2	2	no	—
247	C₂×Dic₁₄₆	—	2	2	no	—
248	C₂×Dic₁₄₆	C₂²×C₄	1	4	yes	complemented
249	C₂×Dic₁₄₆	C₂⁴	1	2	yes	—
250	Q₈×D₇₃	—	2	8	no	—
251	Q₈×D₇₃	—	2	8	no	—
252	Q₈×D₇₃	—	2	4	no	—
253	Q₈×D₇₃	—	2	4	no	—
254	Q₈×D₇₃	C₂²×C₄	1	8	yes	—
255	Q₈×D₇₃	C₂²×C₄	1	8	yes	complemented
256	C₂×D₂₉₂	—	2	1	no	—
257	C₂×D₂₉₂	—	2	2	no	—
258	C₂×D₂₉₂	C₂²×C₄	1	4	yes	—
259	C₂×D₂₉₂	C₂⁴	1	2	yes	—
260	C₂×C₂²⋊D₇₃	—	2	8	no	—
261	C₂×C₂²⋊D₇₃	—	2	2	no	—
262	C₂×C₂²⋊D₇₃	—	2	2	no	—
263	D₄×D₇₃	—	2	8	no	—
264	D₄×D₇₃	—	2	8	no	—
265	D₄×D₇₃	—	2	4	no	—
266	D₄×D₇₃	—	2	4	no	—
267	D₄×D₇₃	C₂²×C₄	1	8	yes	—
268	D₄×D₇₃	C₂²×C₄	1	8	yes	—
269	C₂²×Dic₇₃	—	2	1	no	—
270	C₂²×Dic₇₃	—	2	4	no	—
271	C₂²×Dic₇₃	C₂×D₄	1	1	yes	characteristic
272	C₂×C₄×D₇₃	—	2	8	no	—
273	C₂×C₄×D₇₃	—	2	2	no	—
274	C₂×C₄×D₇₃	—	2	2	no	—
275	C₂×C₄×D₇₃	—	2	2	no	—
276	C₂×C₄×D₇₃	—	2	2	no	—
277	C₂×C₄×D₇₃	—	2	4	no	—
278	C₂×C₄×D₇₃	—	2	4	no	—
279	C₂×C₄×D₇₃	—	8	8	no	—
280	C₂×C₄×D₇₃	C₂²×C₄	1	4	yes	—
281	C₂×C₄×D₇₃	C₂×D₄	1	4	yes	—
282	C₂×C₄×D₇₃	C₂×D₄	1	1	yes	characteristic
283	C₂×C₄×D₇₃	C₂×D₄	1	1	yes	characteristic
284	C₂×C₄×D₇₃	#41	1	4	yes	—
285	C₂×C₄×D₇₃	C₂⁴	1	1	yes	characteristic
286	C₂×C₄×D₇₃	C₂⁴	1	1	yes	characteristic
287	#11924017	C₂²×C₄	1	8	yes	complemented
288	#11924017	C₂²×C₄	1	8	yes	complemented
289	#11924016	C₂²×C₄	1	8	yes	complemented
290	#11924016	C₂²×C₄	1	8	yes	complemented
291	#11924015	C₂²×C₄	1	8	yes	complemented
292	#11924015	C₂²×C₄	1	8	yes	complemented
293	#11924012	—	2	2	no	—
294	#11924011	—	2	4	no	—
295	C₂×#10596831	C₂²×C₄	1	4	yes	complemented
296	C₂×#10596831	C₂⁴	1	2	yes	—
297	C₂×#10596831	C₂⁴	1	1	yes	characteristic
298	C₂×#10596831	C₂⁴	1	1	yes	characteristic
299	C₈×D₇₃	—	2	4	no	—
300	C₈×D₇₃	C₂²×C₄	1	4	yes	—
301	C₈×D₇₃	C₂²×C₄	1	4	yes	—
302	C₈×D₇₃	C₂²×C₄	1	4	yes	complemented
303	C₈×D₇₃	C₂²×C₄	1	4	yes	complemented
304	C₄⋊Dic₇₃	—	2	4	no	—
305	C₄⋊Dic₇₃	C₂×D₄	1	2	yes	—
306	C₄⋊Dic₇₃	C₂⁴	1	2	yes	—
307	C₄⋊Dic₇₃	C₂⁴	1	2	yes	—
308	#11924007	—	2	4	no	—
309	#11924007	—	2	4	no	—
310	#11924007	—	2	2	no	—
311	#11924007	—	2	2	no	—
312	#11924007	C₂×D₄	1	4	yes	—
313	C₂²⋊Dic₇₃	—	2	1	no	—
314	C₂²⋊Dic₇₃	—	2	1	no	—
315	C₂²⋊Dic₇₃	—	2	4	no	—
316	C₂²⋊Dic₇₃	C₂×D₄	1	2	yes	—
317	#11924005	—	2	2	no	—
318	#11924005	—	2	2	no	—
319	#11924005	—	2	4	no	—
320	#11924005	—	2	4	no	—
321	#11924005	C₂×D₄	1	4	yes	—
322	C₄×Dic₇₃	—	2	4	no	—
323	C₄×Dic₇₃	—	2	1	no	—
324	C₄×Dic₇₃	—	2	1	no	—
325	C₄×Dic₇₃	—	2	4	no	—
326	C₄×Dic₇₃	—	2	2	no	—
327	C₄×Dic₇₃	—	2	2	no	—
328	C₄×Dic₇₃	—	2	4	no	—
329	C₄×Dic₇₃	C₂×D₄	1	4	yes	—
330	C₄×Dic₇₃	C₂⁴	1	2	yes	—
331	C₂⁴×C₇₃	—	2	1	no	—
332	C₂×Q₈×C₇₃	—	2	1	no	—
333	C₂×Q₈×C₇₃	—	2	2	no	—
334	C₂×Q₈×C₇₃	C₂²×C₄	1	4	yes	complemented
335	C₂×Q₈×C₇₃	C₂⁴	1	2	yes	—
336	C₂×D₄×C₇₃	—	2	1	no	—
337	C₂×D₄×C₇₃	—	2	2	no	—
338	C₂×D₄×C₇₃	C₂²×C₄	1	4	yes	—
339	C₂×D₄×C₇₃	C₂⁴	1	2	yes	—
340	C₂²×C₄×C₇₃	—	2	1	no	—
341	C₂²×C₄×C₇₃	—	2	4	no	—
342	C₂²×C₄×C₇₃	C₂⁴	1	1	yes	characteristic
343	SD₁₆×C₇₃	C₂²×C₄	1	8	yes	complemented
344	SD₁₆×C₇₃	C₂²×C₄	1	8	yes	complemented
345	M₁₆×C₇₃	—	2	2	no	—
346	C₂×C₈×C₇₃	C₂²×C₄	1	4	yes	complemented
347	C₂×C₈×C₇₃	C₂⁴	1	2	yes	—
348	C₂×C₈×C₇₃	C₂⁴	1	1	yes	characteristic
349	C₂×C₈×C₇₃	C₂⁴	1	1	yes	characteristic
350	C₄⋊C₄×C₇₃	—	2	4	no	—
351	C₄⋊C₄×C₇₃	C₂×D₄	1	2	yes	—
352	C₄⋊C₄×C₇₃	C₂⁴	1	2	yes	—
353	C₄⋊C₄×C₇₃	C₂⁴	1	2	yes	—
354	C₂²⋊C₄×C₇₃	—	2	1	no	—
355	C₂²⋊C₄×C₇₃	—	2	1	no	—
356	C₂²⋊C₄×C₇₃	—	2	4	no	—
357	C₂²⋊C₄×C₇₃	C₂×D₄	1	2	yes	—
358	C₄²×C₇₃	—	2	4	no	—
359	C₄²×C₇₃	—	2	1	no	—
360	C₄²×C₇₃	—	2	1	no	—
361	C₄²×C₇₃	C₂⁴	1	2	yes	—
362	C₂³×C₇₃	—	2	2	no	—
363	C₂³×C₇₃	—	2	4	no	—
364	C₂³×C₇₃	—	8	2	no	—
365	C₂³×C₇₃	C₂²×D₄	1	1	yes	characteristic
366	C₂²×D₇₃	—	2	4	no	—
367	C₂²×D₇₃	—	2	2	no	—
368	C₂²×D₇₃	—	2	4	no	—
369	C₂²×D₇₃	—	2	8	no	—
370	C₂²×D₇₃	—	2	8	no	—
371	C₂²×D₇₃	—	4	8	no	—
372	C₂²×D₇₃	—	8	16	no	—
373	C₂²×D₇₃	—	8	4	no	—
374	C₂²×D₇₃	—	8	2	no	—
375	C₂²×D₇₃	C₄×D₄	1	4	yes	—
376	C₂²×D₇₃	C₂²×D₄	1	1	yes	characteristic
377	C₂²×D₇₃	C₂²×D₄	1	1	yes	characteristic
378	Q₈×C₇₃	—	2	4	no	—
379	Q₈×C₇₃	—	2	2	no	—
380	Q₈×C₇₃	C₂³×C₄	1	4	yes	—
381	D₄×C₇₃	—	2	4	no	—
382	D₄×C₇₃	—	2	2	no	—
383	D₄×C₇₃	C₂³×C₄	1	4	yes	—
384	C₂×C₄×C₇₃	—	2	4	no	—
385	C₂×C₄×C₇₃	—	2	2	no	—
386	C₂×C₄×C₇₃	—	2	2	no	—
387	C₂×C₄×C₇₃	—	2	2	no	—
388	C₂×C₄×C₇₃	—	8	4	no	—
389	C₂×C₄×C₇₃	C₂³×C₄	1	2	yes	—
390	C₂×C₄×C₇₃	C₂²×D₄	1	4	yes	—
391	C₂×C₄×C₇₃	C₂²×D₄	1	1	yes	characteristic
392	C₂×C₄×C₇₃	C₂×#41	1	2	yes	—
393	C₂×C₄×C₇₃	C₂⁵	1	1	yes	characteristic
394	C₂²⋊D₇₃	—	2	8	no	—
395	C₂²⋊D₇₃	—	2	8	no	—
396	C₂×Dic₇₃	—	2	4	no	—
397	C₂×Dic₇₃	—	2	2	no	—
398	C₂×Dic₇₃	—	2	2	no	—
399	C₂×Dic₇₃	—	2	2	no	—
400	C₂×Dic₇₃	—	8	4	no	—
401	C₂×Dic₇₃	C₄×D₄	1	4	yes	—
402	C₂×Dic₇₃	C₂²×D₄	1	4	yes	—
403	C₂×Dic₇₃	C₂²×D₄	1	1	yes	characteristic
404	C₂×Dic₇₃	C₂²×D₄	1	1	yes	characteristic
405	D₂₉₂	—	2	4	no	—
406	D₂₉₂	—	2	2	no	—
407	D₂₉₂	C₂³×C₄	1	4	yes	—
408	C₄×D₇₃	—	2	8	no	—
409	C₄×D₇₃	—	2	8	no	—
410	C₄×D₇₃	—	2	8	no	—
411	C₄×D₇₃	—	4	4	no	—
412	C₄×D₇₃	—	4	4	no	—
413	C₄×D₇₃	—	8	4	no	—
414	C₄×D₇₃	—	8	4	no	—
415	C₄×D₇₃	C₄×D₄	1	4	yes	—
416	C₄×D₇₃	C₄×D₄	1	4	yes	—
417	C₄×D₇₃	C₂³×C₄	1	2	yes	—
418	C₄×D₇₃	C₂³×C₄	1	2	yes	—
419	C₄×D₇₃	C₂×#41	1	2	yes	—
420	C₄×D₇₃	C₂×#41	1	2	yes	—
421	Dic₁₄₆	—	2	4	no	—
422	Dic₁₄₆	—	2	2	no	—
423	Dic₁₄₆	—	2	8	no	—
424	Dic₁₄₆	—	2	8	no	—
425	Dic₁₄₆	C₂³×C₄	1	4	yes	—
426	C₈×C₇₃	—	2	2	no	—
427	C₈×C₇₃	C₂³×C₄	1	2	yes	—
428	C₈×C₇₃	C₂³×C₄	1	2	yes	—
429	#10596831	—	2	2	no	—
430	#10596831	C₂³×C₄	1	2	yes	—
431	#10596831	C₂³×C₄	1	2	yes	—
432	C₂²×C₇₃	—	2	2	no	—
433	C₂²×C₇₃	—	2	4	no	—
434	C₂²×C₇₃	—	4	4	no	—
435	C₂²×C₇₃	—	8	4	no	—
436	C₂²×C₇₃	C₂×C₄×D₄	1	2	yes	—
437	C₂²×C₇₃	C₂³×D₄	1	1	yes	characteristic
438	C₂×D₇₃	—	2	2	no	—
439	C₂×D₇₃	—	2	8	no	—
440	C₂×D₇₃	—	2	4	no	—
441	C₂×D₇₃	—	4	4	no	—
442	C₂×D₇₃	—	4	16	no	—
443	C₂×D₇₃	—	8	8	no	—
444	C₂×D₇₃	—	8	4	no	—
445	C₂×D₇₃	C₂×C₄×D₄	1	2	yes	—
446	C₂×D₇₃	C₂×C₄×D₄	1	2	yes	—
447	C₂×D₇₃	#577	1	4	yes	—
448	C₄×C₇₃	—	2	4	no	—
449	C₄×C₇₃	—	2	4	no	—
450	C₄×C₇₃	—	4	2	no	—
451	C₄×C₇₃	—	4	2	no	—
452	C₄×C₇₃	C₂×C₄×D₄	1	2	yes	—
453	C₄×C₇₃	C₂⁴×C₄	1	1	yes	characteristic
454	C₄×C₇₃	C₂²×#41	1	1	yes	characteristic
455	Dic₇₃	—	2	4	no	—
456	Dic₇₃	—	2	4	no	—
457	Dic₇₃	—	4	2	no	—
458	Dic₇₃	—	4	2	no	—
459	Dic₇₃	C₂×C₄×D₄	1	2	yes	—
460	Dic₇₃	C₂×C₄×D₄	1	2	yes	—
461	C₂×#2949	—	73	1	no	maximal, Sylow
462	C₂×C₇₃	—	2	2	no	—
463	C₂×C₇₃	—	4	4	no	—
464	C₂×C₇₃	C₂²×C₄×D₄	1	1	yes	characteristic
465	C₂×C₇₃	C₂×#577	1	2	yes	—
466	D₇₃	—	2	2	no	—
467	D₇₃	—	4	4	no	—
468	D₇₃	#2949	1	4	yes	direct product factor
469	C₂³×SD₁₆	—	73	1	no	—
470	C₂×#519	—	73	1	no	—
471	C₂×#518	—	73	1	no	—
472	#2949	—	73	4	no	—
473	#2949	—	73	4	no	—
474	#2949	—	73	1	no	—
475	#2949	—	73	1	no	—
476	#2949	—	73	1	no	—
477	#2949	—	73	1	no	—
478	#2949	—	73	1	no	—
479	#2949	—	73	1	no	—
480	#2949	—	73	1	no	—
481	#2949	D₇₃	1	1	yes	characteristic, direct product factor
482	C₂×#440	—	73	4	no	—
483	C₂×C₄×SD₁₆	—	73	4	no	—
484	C₂×#427	—	73	1	no	—
485	C₂×#419	—	73	1	no	—
486	C₂×#418	—	73	1	no	—
487	C₂×#405	—	73	1	no	—
488	C₇₃	C₂×#2949	1	1	yes	characteristic, complemented, Sylow
489	C₂³×Q₈	—	73	1	no	—
490	C₂³×D₄	—	73	1	no	—
491	C₂²×SD₁₆	—	73	1	no	—
492	C₂²×SD₁₆	—	73	1	no	—
493	C₂²×SD₁₆	—	73	16	no	—
494	C₂²×SD₁₆	—	73	2	no	—
495	C₂²×SD₁₆	—	73	2	no	—
496	C₂²×SD₁₆	—	73	2	no	—
497	C₂²×SD₁₆	—	73	2	no	—
498	C₂²×SD₁₆	—	73	1	no	—
499	C₂²×SD₁₆	C₂×D₇₃	1	1	yes	characteristic
500	C₂²×M₁₆	—	73	1	no	—
501	C₂³×C₈	—	73	1	no	—
502	#519	—	73	1	no	—
503	#519	—	73	4	no	—
504	#519	—	73	1	no	—
505	#519	—	73	1	no	—
506	#519	—	146	2	no	—
507	#519	—	146	2	no	—
508	#519	C₂×D₇₃	1	1	yes	characteristic, complemented
509	#518	—	73	1	no	—
510	#518	—	73	4	no	—
511	#518	—	73	1	no	—
512	#518	—	73	1	no	—
513	#518	—	146	2	no	—
514	#518	—	146	2	no	—
515	#518	C₂×D₇₃	1	1	yes	characteristic
516	C₂×C₄×Q₈	—	73	4	no	—
517	C₂×C₄×Q₈	—	146	2	no	—
518	C₂×C₄×D₄	—	73	4	no	—
519	C₂×C₄×D₄	—	146	2	no	—
520	C₂×#117	—	73	1	no	—
521	C₂×#117	—	73	1	no	—
522	C₂×#117	—	73	1	no	—
523	C₂×#117	—	146	2	no	—
524	C₂²×C₂²⋊C₄	—	146	2	no	—
525	#440	—	73	4	no	—
526	#440	—	73	4	no	—
527	#440	—	73	4	no	—
528	#440	—	73	4	no	—
529	#440	—	73	4	no	—
530	#440	—	73	4	no	—
531	#440	—	73	4	no	—
532	#440	C₂×D₇₃	1	4	yes	complemented
533	C₄×SD₁₆	—	73	4	no	—
534	C₄×SD₁₆	—	73	4	no	—
535	C₄×SD₁₆	—	73	4	no	—
536	C₄×SD₁₆	—	73	4	no	—
537	C₄×SD₁₆	—	73	4	no	—
538	C₄×SD₁₆	—	73	4	no	—
539	C₄×SD₁₆	—	73	4	no	—
540	C₄×SD₁₆	C₂×D₇₃	1	4	yes	complemented
541	#427	—	73	1	no	—
542	#427	—	73	1	no	—
543	#427	—	73	1	no	—
544	#427	—	73	2	no	—
545	#427	—	73	2	no	—
546	#427	C₂×D₇₃	1	1	yes	characteristic, complemented
547	C₂×#107	—	73	2	no	—
548	C₂×#106	—	73	2	no	—
549	#419	—	73	1	no	—
550	#419	—	73	1	no	—
551	#419	—	73	1	no	—
552	#419	—	73	4	no	—
553	#419	C₂×D₇₃	1	1	yes	characteristic, complemented
554	#418	—	73	1	no	—
555	#418	—	73	1	no	—
556	#418	—	73	1	no	—
557	#418	—	73	4	no	—
558	#418	C₂×D₇₃	1	1	yes	characteristic
559	C₂×#103	—	73	4	no	—
560	C₂×#102	—	73	4	no	—
561	#405	—	73	1	no	—
562	#405	—	73	1	no	—
563	#405	—	73	1	no	—
564	#405	—	73	2	no	—
565	#405	—	73	2	no	—
566	#405	C₂×D₇₃	1	1	yes	characteristic, complemented
567	C₂×#97	—	73	2	no	—
568	C₂×C₄×C₈	—	73	2	no	—
569	C₂⁵	—	146	1	no	—
570	C₂²×Q₈	—	73	8	no	—
571	C₂²×Q₈	—	73	2	no	—
572	C₂²×Q₈	—	73	2	no	—
573	C₂²×Q₈	—	73	1	no	—
574	C₂²×Q₈	—	146	1	no	—
575	C₂²×Q₈	—	146	1	no	—
576	C₂²×Q₈	—	146	1	no	—
577	C₂²×Q₈	—	146	4	no	—
578	C₂²×Q₈	C₂²×D₇₃	1	1	yes	characteristic
579	C₂²×D₄	—	73	8	no	—
580	C₂²×D₄	—	73	2	no	—
581	C₂²×D₄	—	73	2	no	—
582	C₂²×D₄	—	73	1	no	—
583	C₂²×D₄	—	146	1	no	—
584	C₂²×D₄	—	146	1	no	—
585	C₂²×D₄	—	146	4	no	—
586	C₂²×D₄	—	146	1	no	—
587	C₂²×D₄	C₂²×D₇₃	1	1	yes	characteristic
588	C₂³×C₄	—	73	1	no	—
589	C₂³×C₄	—	146	4	no	—
590	C₂³×C₄	—	146	1	no	—
591	C₂×SD₁₆	—	73	8	no	—
592	C₂×SD₁₆	—	73	2	no	—
593	C₂×SD₁₆	—	73	2	no	—
594	C₂×SD₁₆	—	73	8	no	—
595	C₂×SD₁₆	—	73	2	no	—
596	C₂×SD₁₆	—	73	2	no	—
597	C₂×SD₁₆	—	73	16	no	—
598	C₂×SD₁₆	—	73	16	no	—
599	C₂×SD₁₆	—	73	16	no	—
600	C₂×SD₁₆	—	73	16	no	—
601	C₂×SD₁₆	—	73	8	no	—
602	C₂×SD₁₆	—	73	2	no	—
603	C₂×SD₁₆	—	73	2	no	—
604	C₂×SD₁₆	C₄×D₇₃	1	8	yes	complemented
605	C₂×SD₁₆	C₂²×D₇₃	1	2	yes	—
606	C₂×SD₁₆	C₂²×D₇₃	1	2	yes	—
607	C₂×M₁₆	—	73	1	no	—
608	C₂×M₁₆	—	73	2	no	—
609	C₂×M₁₆	—	146	4	no	—
610	C₂×M₁₆	C₂²×D₇₃	1	1	yes	characteristic
611	C₂²×C₈	—	73	1	no	—
612	C₂²×C₈	—	73	8	no	—
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	2	no	—
618	C₂²×C₈	C₂²×D₇₃	1	1	yes	characteristic
619	C₄×Q₈	—	2	2	no	—
620	C₄×Q₈	—	73	4	no	—
621	C₄×Q₈	—	73	4	no	—
622	C₄×Q₈	—	73	4	no	—
623	C₄×Q₈	—	146	4	no	—
624	C₄×Q₈	—	146	4	no	—
625	C₄×Q₈	—	146	2	no	—
626	C₄×Q₈	—	146	4	no	—
627	C₄×Q₈	—	146	4	no	—
628	C₄×Q₈	—	146	2	no	—
629	C₄×Q₈	—	146	2	no	—
630	C₄×Q₈	C₂²×D₇₃	1	4	yes	complemented
631	C₄×D₄	—	2	2	no	—
632	C₄×D₄	—	73	4	no	—
633	C₄×D₄	—	73	4	no	—
634	C₄×D₄	—	73	4	no	—
635	C₄×D₄	—	146	2	no	—
636	C₄×D₄	—	146	4	no	—
637	C₄×D₄	—	146	4	no	—
638	C₄×D₄	—	146	4	no	—
639	C₄×D₄	—	146	4	no	—
640	C₄×D₄	—	146	2	no	—
641	C₄×D₄	—	146	2	no	—
642	C₄×D₄	C₂²×D₇₃	1	4	yes	—
643	#117	—	2	2	no	—
644	#117	—	73	1	no	—
645	#117	—	73	2	no	—
646	#117	—	73	2	no	—
647	#117	—	73	2	no	—
648	#117	—	73	1	no	—
649	#117	—	73	1	no	—
650	#117	—	73	2	no	—
651	#117	—	73	2	no	—
652	#117	—	146	4	no	—
653	#117	—	146	1	no	—
654	#117	—	146	1	no	—
655	#117	—	146	2	no	—
656	#117	—	146	1	no	—
657	#117	—	146	1	no	—
658	#117	—	146	4	no	—
659	#117	—	146	2	no	—
660	#117	—	146	2	no	—
661	#117	C₂²×D₇₃	1	1	yes	characteristic
662	#117	C₂²×D₇₃	1	1	yes	characteristic
663	#117	C₂²×D₇₃	1	1	yes	characteristic
664	C₂×C₄⋊C₄	—	73	2	no	—
665	C₂×C₄⋊C₄	—	73	2	no	—
666	C₂×C₄⋊C₄	—	73	2	no	—
667	C₂×C₄⋊C₄	—	146	4	no	—
668	C₂×C₂²⋊C₄	—	2	2	no	—
669	C₂×C₂²⋊C₄	—	73	2	no	—
670	C₂×C₂²⋊C₄	—	146	2	no	—
671	C₂×C₂²⋊C₄	—	146	4	no	—
672	C₂×C₂²⋊C₄	—	146	4	no	—
673	C₂×C₂²⋊C₄	—	146	1	no	—
674	C₂×C₂²⋊C₄	—	146	1	no	—
675	C₂×C₂²⋊C₄	—	146	4	no	—
676	C₂×C₂²⋊C₄	—	146	2	no	—
677	C₂×C₂²⋊C₄	—	146	2	no	—
678	C₂×C₄²	—	73	2	no	—
679	C₂×C₄²	—	146	1	no	—
680	C₂×C₄²	—	146	1	no	—
681	C₂×C₄²	—	146	4	no	—
682	#107	—	73	2	no	—
683	#107	—	73	2	no	—
684	#107	—	73	2	no	—
685	#107	C₂²×D₇₃	1	2	yes	complemented
686	#106	—	73	2	no	—
687	#106	—	73	2	no	—
688	#106	—	73	2	no	—
689	#106	C₂²×D₇₃	1	2	yes	complemented
690	#103	—	73	4	no	—
691	#103	—	73	4	no	—
692	#103	—	73	4	no	—
693	#103	C₂²×D₇₃	1	4	yes	complemented
694	#102	—	73	4	no	—
695	#102	—	73	4	no	—
696	#102	—	73	4	no	—
697	#102	C₂²×D₇₃	1	4	yes	—
698	#97	—	73	2	no	—
699	#97	—	73	2	no	—
700	#97	—	73	2	no	—
701	#97	C₂²×D₇₃	1	2	yes	complemented
702	C₄×C₈	—	73	2	no	—
703	C₄×C₈	—	73	2	no	—
704	C₄×C₈	—	73	2	no	—
705	C₄×C₈	C₂²×D₇₃	1	2	yes	complemented
706	C₂⁴	—	2	1	no	—
707	C₂⁴	—	584	4	no	—
708	C₂⁴	—	73	1	no	—
709	C₂⁴	—	146	2	no	—
710	C₂⁴	—	146	2	no	—
711	C₂⁴	—	146	8	no	—
712	C₂⁴	—	146	1	no	—
713	C₂×Q₈	—	2	1	no	—
714	C₂×Q₈	—	2	2	no	—
715	C₂×Q₈	—	73	8	no	—
716	C₂×Q₈	—	73	8	no	—
717	C₂×Q₈	—	73	4	no	—
718	C₂×Q₈	—	73	2	no	—
719	C₂×Q₈	—	146	2	no	—
720	C₂×Q₈	—	146	2	no	—
721	C₂×Q₈	—	146	8	no	—
722	C₂×Q₈	—	146	4	no	—
723	C₂×Q₈	—	146	4	no	—
724	C₂×Q₈	—	146	8	no	—
725	C₂×Q₈	—	146	8	no	—
726	C₂×Q₈	—	146	1	no	—
727	C₂×Q₈	—	146	2	no	—
728	C₂×Q₈	C₂×C₄×D₇₃	1	4	yes	complemented
729	C₂×Q₈	C₂³×D₇₃	1	2	yes	—
730	C₂×D₄	—	2	1	no	—
731	C₂×D₄	—	2	2	no	—
732	C₂×D₄	—	73	8	no	—
733	C₂×D₄	—	73	8	no	—
734	C₂×D₄	—	73	4	no	—
735	C₂×D₄	—	73	2	no	—
736	C₂×D₄	—	146	4	no	—
737	C₂×D₄	—	146	4	no	—
738	C₂×D₄	—	146	8	no	—
739	C₂×D₄	—	146	8	no	—
740	C₂×D₄	—	146	2	no	—
741	C₂×D₄	—	146	2	no	—
742	C₂×D₄	—	146	8	no	—
743	C₂×D₄	—	146	1	no	—
744	C₂×D₄	—	146	2	no	—
745	C₂×D₄	C₂×C₄×D₇₃	1	4	yes	—
746	C₂×D₄	C₂³×D₇₃	1	2	yes	—
747	C₂²×C₄	—	2	1	no	—
748	C₂²×C₄	—	2	4	no	—
749	C₂²×C₄	—	584	8	no	—
750	C₂²×C₄	—	73	1	no	—
751	C₂²×C₄	—	73	4	no	—
752	C₂²×C₄	—	73	1	no	—
753	C₂²×C₄	—	73	1	no	—
754	C₂²×C₄	—	73	4	no	—
755	C₂²×C₄	—	73	1	no	—
756	C₂²×C₄	—	73	1	no	—
757	C₂²×C₄	—	73	4	no	—
758	C₂²×C₄	—	146	2	no	—
759	C₂²×C₄	—	146	2	no	—
760	C₂²×C₄	—	146	4	no	—
761	C₂²×C₄	—	146	2	no	—
762	C₂²×C₄	—	146	2	no	—
763	C₂²×C₄	—	146	8	no	—
764	C₂²×C₄	—	146	4	no	—
765	C₂²×C₄	—	146	4	no	—
766	C₂²×C₄	—	146	1	no	—
767	C₂²×C₄	C₂³×D₇₃	1	1	yes	characteristic
768	SD₁₆	—	73	8	no	—
769	SD₁₆	—	73	8	no	—
770	SD₁₆	—	73	8	no	—
771	SD₁₆	—	73	8	no	—
772	SD₁₆	—	73	8	no	—
773	SD₁₆	—	73	8	no	—
774	SD₁₆	C₂×C₄×D₇₃	1	8	yes	complemented
775	SD₁₆	C₂×C₄×D₇₃	1	8	yes	complemented
776	M₁₆	—	2	2	no	—
777	M₁₆	—	146	4	no	—
778	M₁₆	—	146	2	no	—
779	C₂×C₈	—	73	4	no	—
780	C₂×C₈	—	73	1	no	—
781	C₂×C₈	—	73	1	no	—
782	C₂×C₈	—	73	4	no	—
783	C₂×C₈	—	73	4	no	—
784	C₂×C₈	—	73	4	no	—
785	C₂×C₈	—	73	4	no	—
786	C₂×C₈	—	73	2	no	—
787	C₂×C₈	—	146	4	no	—
788	C₂×C₈	C₂×C₄×D₇₃	1	4	yes	complemented
789	C₂×C₈	C₂³×D₇₃	1	2	yes	—
790	C₂×C₈	C₂³×D₇₃	1	1	yes	characteristic
791	C₂×C₈	C₂³×D₇₃	1	1	yes	characteristic
792	C₄⋊C₄	—	2	4	no	—
793	C₄⋊C₄	—	73	4	no	—
794	C₄⋊C₄	—	73	2	no	—
795	C₄⋊C₄	—	73	2	no	—
796	C₄⋊C₄	—	73	2	no	—
797	C₄⋊C₄	—	146	2	no	—
798	C₄⋊C₄	—	146	2	no	—
799	C₄⋊C₄	—	146	4	no	—
800	C₄⋊C₄	—	146	4	no	—
801	C₄⋊C₄	—	146	4	no	—
802	C₄⋊C₄	D₄×D₇₃	1	2	yes	—
803	C₄⋊C₄	C₂³×D₇₃	1	2	yes	—
804	C₄⋊C₄	C₂³×D₇₃	1	2	yes	—
805	C₂²⋊C₄	—	2	1	no	—
806	C₂²⋊C₄	—	2	1	no	—
807	C₂²⋊C₄	—	2	4	no	—
808	C₂²⋊C₄	—	73	2	no	—
809	C₂²⋊C₄	—	73	4	no	—
810	C₂²⋊C₄	—	146	4	no	—
811	C₂²⋊C₄	—	146	2	no	—
812	C₂²⋊C₄	—	146	2	no	—
813	C₂²⋊C₄	—	146	4	no	—
814	C₂²⋊C₄	—	146	1	no	—
815	C₂²⋊C₄	—	146	1	no	—
816	C₂²⋊C₄	—	146	4	no	—
817	C₂²⋊C₄	D₄×D₇₃	1	2	yes	—
818	C₄²	—	2	4	no	—
819	C₄²	—	2	1	no	—
820	C₄²	—	2	1	no	—
821	C₄²	—	73	4	no	—
822	C₄²	—	73	2	no	—
823	C₄²	—	146	2	no	—
824	C₄²	—	146	2	no	—
825	C₄²	—	146	4	no	—
826	C₄²	—	146	4	no	—
827	C₄²	—	146	1	no	—
828	C₄²	—	146	1	no	—
829	C₄²	—	146	4	no	—
830	C₄²	C₂³×D₇₃	1	2	yes	—
831	C₂³	—	2	2	no	—
832	C₂³	—	2	4	no	—
833	C₂³	—	8	2	no	—
834	C₂³	—	292	8	no	—
835	C₂³	—	584	2	no	—
836	C₂³	—	584	4	no	—
837	C₂³	—	584	16	no	—
838	C₂³	—	73	1	no	—
839	C₂³	—	73	1	no	—
840	C₂³	—	73	4	no	—
841	C₂³	—	146	8	no	—
842	C₂³	—	146	8	no	—
843	C₂³	—	146	4	no	—
844	C₂³	—	146	2	no	—
845	C₂³	—	146	4	no	—
846	C₂³	C₂×D₄×D₇₃	1	1	yes	characteristic
847	Q₈	—	2	2	no	—
848	Q₈	—	2	4	no	—
849	Q₈	—	73	4	no	—
850	Q₈	—	146	8	no	—
851	Q₈	—	146	8	no	—
852	Q₈	—	146	2	no	—
853	Q₈	—	146	4	no	—
854	Q₈	C₂²×C₄×D₇₃	1	4	yes	—
855	D₄	—	2	2	no	—
856	D₄	—	2	4	no	—
857	D₄	—	73	4	no	—
858	D₄	—	146	8	no	—
859	D₄	—	146	8	no	—
860	D₄	—	146	2	no	—
861	D₄	—	146	4	no	—
862	D₄	C₂²×C₄×D₇₃	1	4	yes	—
863	C₂×C₄	—	2	2	no	—
864	C₂×C₄	—	2	4	no	—
865	C₂×C₄	—	2	2	no	—
866	C₂×C₄	—	2	2	no	—
867	C₂×C₄	—	8	4	no	—
868	C₂×C₄	—	292	4	no	—
869	C₂×C₄	—	292	4	no	—
870	C₂×C₄	—	584	4	no	—
871	C₂×C₄	—	584	4	no	—
872	C₂×C₄	—	584	4	no	—
873	C₂×C₄	—	73	1	no	—
874	C₂×C₄	—	73	1	no	—
875	C₂×C₄	—	73	4	no	—
876	C₂×C₄	—	73	2	no	—
877	C₂×C₄	—	73	2	no	—
878	C₂×C₄	—	73	2	no	—
879	C₂×C₄	—	73	2	no	—
880	C₂×C₄	—	73	4	no	—
881	C₂×C₄	—	73	4	no	—
882	C₂×C₄	—	73	4	no	—
883	C₂×C₄	—	146	8	no	—
884	C₂×C₄	—	146	8	no	—
885	C₂×C₄	—	146	8	no	—
886	C₂×C₄	—	146	2	no	—
887	C₂×C₄	—	146	2	no	—
888	C₂×C₄	—	146	2	no	—
889	C₂×C₄	—	146	4	no	—
890	C₂×C₄	C₂²×C₄×D₇₃	1	2	yes	—
891	C₂×C₄	C₂×D₄×D₇₃	1	4	yes	—
892	C₂×C₄	C₂×D₄×D₇₃	1	1	yes	characteristic
893	C₂×C₄	#41×D₇₃	1	2	yes	—
894	C₂×C₄	C₂⁴×D₇₃	1	1	yes	characteristic
895	C₈	—	2	2	no	—
896	C₈	—	73	2	no	—
897	C₈	—	73	2	no	—
898	C₈	—	146	2	no	—
899	C₈	C₂²×C₄×D₇₃	1	2	yes	—
900	C₈	C₂²×C₄×D₇₃	1	2	yes	—
901	C₂²	—	2	2	no	—
902	C₂²	—	2	4	no	—
903	C₂²	—	4	4	no	—
904	C₂²	—	8	4	no	—
905	C₂²	—	292	16	no	—
906	C₂²	—	292	4	no	—
907	C₂²	—	584	4	no	—
908	C₂²	—	584	8	no	—
909	C₂²	—	73	2	no	—
910	C₂²	—	73	4	no	—
911	C₂²	—	73	2	no	—
912	C₂²	—	146	8	no	—
913	C₂²	—	146	4	no	—
914	C₂²	—	146	2	no	—
915	C₂²	C₄×D₄×D₇₃	1	2	yes	—
916	C₂²	C₂²×D₄×D₇₃	1	1	yes	characteristic
917	C₄	—	2	4	no	—
918	C₄	—	2	4	no	—
919	C₄	—	4	2	no	—
920	C₄	—	4	2	no	—
921	C₄	—	292	2	no	—
922	C₄	—	292	2	no	—
923	C₄	—	73	2	no	—
924	C₄	—	73	2	no	—
925	C₄	—	146	4	no	—
926	C₄	—	146	4	no	—
927	C₄	C₄×D₄×D₇₃	1	2	yes	—
928	C₄	C₂³×C₄×D₇₃	1	1	yes	characteristic
929	C₄	C₂×#41×D₇₃	1	1	yes	characteristic
930	C₂	—	2	2	no	—
931	C₂	—	4	4	no	—
932	C₂	—	292	4	no	—
933	C₂	—	73	4	no	—
934	C₂	—	146	2	no	—
935	C₂	C₂×C₄×D₄×D₇₃	1	1	yes	characteristic
936	C₂	#577×D₇₃	1	2	yes	—

	subgroup	G/H
center	C₂²	C₂²×D₄×D₇₃
commutator	C₄×C₇₃	C₂⁴×C₄
Frattini	C₂×C₄	C₂⁴×D₇₃
Fitting	C₇₃×#2949	C₂
socle	C₂²×C₇₃	C₂³×D₄
prime radical	C₂²×D₄×D₇₃	C₂²
cosocle	C₂×C₄×C₇₃	C₂⁵
hypercenter	#2949	D₇₃
hypocenter	C₇₃	C₂×#2949
LCS	G ▷ C₄×C₇₃ ▷ C₂×C₇₃ ▷ C₇₃
UCS	C₁ ◁ C₂² ◁ #117 ◁ #2949

Complements

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

N	H ≅ G/N	type
2. #519×D₇₃	C₂	semidirect
4. #22618793	C₂	semidirect
5. #22618792	C₂	semidirect
6. #22618791	C₂	semidirect
7. #22618790	C₂	semidirect
8. #22618789	C₂	semidirect
9. #22618788	C₂	semidirect
10. #22618787	C₂	semidirect
11. #22618786	C₂	semidirect
12. #22618785	C₂	semidirect
13. #440×D₇₃	C₂	semidirect
14. C₄×SD₁₆×D₇₃	C₂	semidirect
15. #427×D₇₃	C₂	semidirect
16. #419×D₇₃	C₂	semidirect
18. #405×D₇₃	C₂	semidirect
19. C₇₃×#2949	C₂	semidirect
25. C₂×SD₁₆×D₇₃	C₄	semidirect
32. #17989065	C₂²	semidirect
34. #17989064	C₂²	semidirect
35. #17989064	C₂²	semidirect
37. #17989063	C₂²	semidirect
45. C₄×Q₈×D₇₃	C₂²	semidirect
53. #17988690	C₂²	semidirect
54. #17988689	C₂²	semidirect
55. #17988688	C₂²	semidirect
56. #17988687	C₂²	semidirect
57. #17988686	C₂²	semidirect
58. #17988685	C₂²	semidirect
59. #17988684	C₂²	semidirect
60. #17988678	C₂²	semidirect
61. C₄×#11924017	C₂²	semidirect
62. SD₁₆×Dic₇₃	C₂²	semidirect
63. C₄×#11924015	C₂²	semidirect
64. #17988674	C₂²	semidirect
65. C₄×#11924016	C₂²	semidirect
66. #17988672	C₂²	semidirect
67. #17988625	C₂²	semidirect
68. #17988624	C₂²	semidirect
69. #17988623	C₂²	semidirect
70. #17988623	C₂²	semidirect
71. #17988622	C₂²	semidirect
72. #107×D₇₃	C₂²	semidirect
73. #106×D₇₃	C₂²	semidirect
74. #17988597	C₂²	semidirect
75. #17988596	C₂²	semidirect
76. #17988595	C₂²	semidirect
77. #17988594	C₂²	semidirect
82. #103×D₇₃	C₂²	semidirect
84. #17988545	C₂²	semidirect
85. #17988544	C₂²	semidirect
86. #17988543	C₂²	semidirect
87. #17988542	C₂²	semidirect
88. #17988541	C₂²	semidirect
89. #97×D₇₃	C₂²	semidirect
90. C₄×C₈×D₇₃	C₂²	semidirect
92. #519×C₇₃	C₂²	semidirect
94. #440×C₇₃	C₂²	semidirect
95. C₄×SD₁₆×C₇₃	C₂²	semidirect
96. #427×C₇₃	C₂²	semidirect
97. #419×C₇₃	C₂²	semidirect
99. #405×C₇₃	C₂²	semidirect
106. C₂×Q₈×D₇₃	C₂×C₄	semidirect
120. C₂×#11924017	C₂×C₄	semidirect
123. C₂×#11924016	C₂×C₄	semidirect
126. C₂×#11924015	C₂×C₄	semidirect
129. SD₁₆×D₇₃	C₂×C₄	semidirect
130. SD₁₆×D₇₃	C₂×C₄	semidirect
131. SD₁₆×D₇₃	C₂×C₄	semidirect
132. SD₁₆×D₇₃	C₂×C₄	semidirect
137. C₂×C₈×D₇₃	C₂×C₄	semidirect
144. Q₈×Dic₇₃	C₂³	semidirect
148. C₄×Dic₁₄₆	C₂³	semidirect
152. #14556556	C₂³	semidirect
197. #14556525	C₂³	semidirect
198. #14556524	C₂³	semidirect
199. #14556524	C₂³	semidirect
200. #14556523	C₂³	semidirect
201. #14556522	C₂³	semidirect
202. #14556522	C₂³	semidirect
203. #14556516	C₂³	semidirect
204. #14556515	C₂³	semidirect
205. #14556514	C₂³	semidirect
209. #14556502	C₂³	semidirect
210. #14556501	C₂³	semidirect
211. #14556501	C₂³	semidirect
212. C₄×#10596831	C₂³	semidirect
213. C₈×Dic₇₃	C₂³	semidirect
214. C₈×Dic₇₃	C₂³	semidirect
217. C₂×SD₁₆×C₇₃	C₂×C₄	semidirect
223. C₄×Q₈×C₇₃	C₂³	semidirect
231. #107×C₇₃	C₂³	semidirect
232. #106×C₇₃	C₂³	semidirect
233. #103×C₇₃	C₂³	semidirect
235. #97×C₇₃	C₂³	semidirect
236. C₄×C₈×C₇₃	C₂³	semidirect
248. C₂×Dic₁₄₆	C₂²×C₄	semidirect
255. Q₈×D₇₃	C₂²×C₄	semidirect
287. #11924017	C₂²×C₄	semidirect
288. #11924017	C₂²×C₄	semidirect
289. #11924016	C₂²×C₄	semidirect
290. #11924016	C₂²×C₄	semidirect
291. #11924015	C₂²×C₄	semidirect
292. #11924015	C₂²×C₄	semidirect
295. C₂×#10596831	C₂²×C₄	semidirect
302. C₈×D₇₃	C₂²×C₄	semidirect
303. C₈×D₇₃	C₂²×C₄	semidirect
334. C₂×Q₈×C₇₃	C₂²×C₄	semidirect
343. SD₁₆×C₇₃	C₂²×C₄	semidirect
344. SD₁₆×C₇₃	C₂²×C₄	semidirect
346. C₂×C₈×C₇₃	C₂²×C₄	semidirect
468. D₇₃	#2949	direct (N × H)
481. #2949	D₇₃	direct (N × H)
488. C₇₃	C₂×#2949	semidirect
508. #519	C₂×D₇₃	semidirect
532. #440	C₂×D₇₃	semidirect
540. C₄×SD₁₆	C₂×D₇₃	semidirect
546. #427	C₂×D₇₃	semidirect
553. #419	C₂×D₇₃	semidirect
566. #405	C₂×D₇₃	semidirect
604. C₂×SD₁₆	C₄×D₇₃	semidirect
630. C₄×Q₈	C₂²×D₇₃	semidirect
685. #107	C₂²×D₇₃	semidirect
689. #106	C₂²×D₇₃	semidirect
693. #103	C₂²×D₇₃	semidirect
701. #97	C₂²×D₇₃	semidirect
705. C₄×C₈	C₂²×D₇₃	semidirect
728. C₂×Q₈	C₂×C₄×D₇₃	semidirect
774. SD₁₆	C₂×C₄×D₇₃	semidirect
775. SD₁₆	C₂×C₄×D₇₃	semidirect
788. C₂×C₈	C₂×C₄×D₇₃	semidirect

Maximal subgroups

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

subgroup	index
C₂²×SD₁₆×D₇₃	2
#519×D₇₃	2
#518×D₇₃	2
#22618793	2
#22618792	2
#22618791	2
#22618790	2
#22618789	2
#22618788	2
#22618787	2
#22618786	2
#22618785	2
#440×D₇₃	2
C₄×SD₁₆×D₇₃	2
#427×D₇₃	2
#419×D₇₃	2
#418×D₇₃	2
#405×D₇₃	2
C₇₃×#2949	2
C₂×#2949	73

Subgroups — #2949×D73 #33950114

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — #2949×D₇₃ #33950114