Subgroups — C₇₃×#59409 #32968813

Order 18688.

2688 conjugacy classes of subgroups.

The subgroup lattice has 1154 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×#548×C₇₃	C₂	1	1	yes	maximal, characteristic, complemented
2	C₂×#547×C₇₃	C₂	1	1	yes	maximal, characteristic, complemented
3	C₇₃×#2700	C₂	1	2	yes	maximal, complemented
4	C₇₃×#2687	C₂	1	2	yes	maximal, complemented
5	C₇₃×#2557	C₂	1	2	yes	maximal, complemented
6	C₇₃×#2549	C₂	1	2	yes	maximal, complemented
7	C₇₃×#2492	C₂	1	1	yes	maximal, characteristic, complemented
8	C₇₃×#2486	C₂	1	1	yes	maximal, characteristic, complemented
9	C₇₃×#2451	C₂	1	1	yes	maximal, characteristic, complemented
10	C₇₃×#2447	C₂	1	1	yes	maximal, characteristic, complemented
11	C₇₃×#2430	C₂	1	2	yes	maximal, complemented
12	C₇₃×#2427	C₂	1	1	yes	maximal, characteristic, complemented
13	C₇₃×#2425	C₂	1	2	yes	maximal, complemented
14	C₇₃×#2419	C₂	1	2	yes	maximal, complemented
15	C₇₃×#2417	C₂	1	1	yes	maximal, characteristic, complemented
16	C₇₃×#2409	C₂	1	1	yes	maximal, characteristic, complemented
17	C₇₃×#2407	C₂	1	1	yes	maximal, characteristic, complemented
18	C₇₃×#2360	C₂	1	1	yes	maximal, characteristic, complemented
19	C₇₃×#2339	C₂	1	1	yes	maximal, characteristic, complemented
20	C₇₃×#2339	C₂	1	2	yes	maximal, complemented
21	C₄×#121×C₇₃	C₂	1	1	yes	maximal, characteristic, complemented
22	C₄×#121×C₇₃	C₂	1	1	yes	maximal, characteristic, complemented
23	C₂×#391×C₇₃	C₂	1	1	yes	maximal, characteristic, complemented
24	C₂²×#41×C₇₃	C₂²	1	2	yes	—
25	C₂²×#41×C₇₃	C₂²	1	1	yes	characteristic
26	C₂³×Q₈×C₇₃	C₂²	1	1	yes	characteristic
27	#548×C₇₃	—	2	8	no	—
28	#547×C₇₃	—	2	8	no	—
29	C₂×C₄⋊Q₈×C₇₃	C₂²	1	1	yes	characteristic
30	C₂×#124×C₇₃	C₂²	1	2	yes	—
31	C₂×#124×C₇₃	C₂²	1	1	yes	characteristic
32	C₂×#123×C₇₃	C₂²	1	2	yes	—
33	C₂×#123×C₇₃	C₂²	1	2	yes	—
34	C₂×#123×C₇₃	C₂²	1	2	yes	—
35	C₂×C₂²⋊Q₈×C₇₃	C₂²	1	2	yes	—
36	C₂×C₂²⋊Q₈×C₇₃	C₂²	1	1	yes	characteristic
37	C₂×C₂²⋊Q₈×C₇₃	C₂²	1	2	yes	—
38	C₂×C₂²⋊Q₈×C₇₃	C₂²	1	1	yes	characteristic
39	C₂×C₂²⋊Q₈×C₇₃	C₂²	1	1	yes	characteristic
40	C₂×#121×C₇₃	C₂²	1	1	yes	characteristic
41	C₂×#121×C₇₃	C₂²	1	2	yes	—
42	C₂×#121×C₇₃	C₂²	1	1	yes	characteristic
43	C₂×#121×C₇₃	C₂²	1	1	yes	characteristic
44	C₂×C₄×Q₈×C₇₃	C₂²	1	1	yes	characteristic
45	C₂×C₄×D₄×C₇₃	C₂²	1	1	yes	characteristic
46	C₂×C₄×D₄×C₇₃	C₂²	1	1	yes	characteristic
47	C₂×C₄×D₄×C₇₃	C₂²	1	1	yes	characteristic
48	C₂×C₄×D₄×C₇₃	C₂²	1	2	yes	—
49	C₂×C₄×D₄×C₇₃	C₂²	1	2	yes	—
50	C₂×C₄×D₄×C₇₃	C₂²	1	1	yes	characteristic
51	C₂×C₄×D₄×C₇₃	C₂²	1	1	yes	characteristic
52	C₂²×C₄⋊C₄×C₇₃	C₂²	1	1	yes	characteristic
53	C₂²×C₄⋊C₄×C₇₃	C₂²	1	1	yes	characteristic
54	C₂²×C₄²×C₇₃	C₂²	1	1	yes	characteristic
55	#400×C₇₃	C₂²	1	2	yes	—
56	#398×C₇₃	C₂²	1	2	yes	—
57	#398×C₇₃	C₂²	1	2	yes	—
58	#398×C₇₃	C₂²	1	2	yes	—
59	#397×C₇₃	C₂²	1	2	yes	—
60	#397×C₇₃	C₂²	1	2	yes	—
61	#397×C₇₃	C₂²	1	2	yes	—
62	#397×C₇₃	C₂²	1	2	yes	—
63	#396×C₇₃	C₂²	1	2	yes	—
64	#395×C₇₃	C₂²	1	2	yes	—
65	#395×C₇₃	C₂²	1	2	yes	—
66	#394×C₇₃	C₂²	1	2	yes	—
67	#394×C₇₃	C₂²	1	2	yes	—
68	#393×C₇₃	C₂²	1	2	yes	—
69	#393×C₇₃	C₂²	1	2	yes	—
70	#392×C₇₃	C₂²	1	2	yes	—
71	#391×C₇₃	C₂²	1	2	yes	—
72	#391×C₇₃	C₂²	1	2	yes	—
73	#391×C₇₃	C₂²	1	1	yes	characteristic
74	#391×C₇₃	C₂²	1	1	yes	characteristic
75	#391×C₇₃	C₂²	1	1	yes	characteristic
76	#391×C₇₃	C₂²	1	1	yes	characteristic
77	#391×C₇₃	C₂²	1	2	yes	—
78	#391×C₇₃	C₂²	1	1	yes	characteristic
79	#391×C₇₃	C₂²	1	2	yes	—
80	#391×C₇₃	C₂²	1	1	yes	characteristic
81	#390×C₇₃	C₂²	1	1	yes	characteristic
82	#390×C₇₃	C₂²	1	1	yes	characteristic
83	#389×C₇₃	C₂²	1	1	yes	characteristic
84	#389×C₇₃	C₂²	1	1	yes	characteristic
85	#389×C₇₃	C₂²	1	1	yes	characteristic
86	#389×C₇₃	C₂²	1	1	yes	characteristic
87	#389×C₇₃	C₂²	1	2	yes	—
88	#388×C₇₃	C₂²	1	1	yes	characteristic
89	#388×C₇₃	C₂²	1	2	yes	—
90	#388×C₇₃	C₂²	1	2	yes	—
91	#388×C₇₃	C₂²	1	1	yes	characteristic
92	#387×C₇₃	C₂²	1	2	yes	—
93	#387×C₇₃	C₂²	1	2	yes	—
94	#386×C₇₃	C₂²	1	2	yes	—
95	#386×C₇₃	C₂²	1	1	yes	characteristic
96	#386×C₇₃	C₂²	1	2	yes	—
97	#386×C₇₃	C₂²	1	1	yes	characteristic
98	#386×C₇₃	C₂²	1	2	yes	—
99	#386×C₇₃	C₂²	1	2	yes	—
100	#386×C₇₃	C₂²	1	2	yes	—
101	#386×C₇₃	C₂²	1	2	yes	—
102	#386×C₇₃	C₂²	1	2	yes	—
103	#385×C₇₃	C₂²	1	2	yes	—
104	#385×C₇₃	C₂²	1	2	yes	—
105	#385×C₇₃	C₂²	1	2	yes	—
106	#385×C₇₃	C₂²	1	2	yes	—
107	#381×C₇₃	C₂²	1	2	yes	—
108	#381×C₇₃	C₂²	1	2	yes	—
109	#381×C₇₃	C₂²	1	2	yes	—
110	#380×C₇₃	C₂²	1	1	yes	characteristic
111	#380×C₇₃	C₂²	1	1	yes	characteristic
112	#380×C₇₃	C₂²	1	1	yes	characteristic
113	#380×C₇₃	C₂²	1	2	yes	—
114	#380×C₇₃	C₂²	1	1	yes	characteristic
115	#380×C₇₃	C₂²	1	2	yes	—
116	C₄×C₄⋊C₄×C₇₃	C₂²	1	1	yes	characteristic
117	C₄×C₄⋊C₄×C₇₃	C₂²	1	1	yes	characteristic
118	C₄×C₂²⋊C₄×C₇₃	C₂²	1	1	yes	characteristic
119	C₄×C₂²⋊C₄×C₇₃	C₂²	1	2	yes	—
120	C₄×C₂²⋊C₄×C₇₃	C₂²	1	1	yes	characteristic
121	C₄×C₂²⋊C₄×C₇₃	C₂²	1	2	yes	—
122	C₂×#95×C₇₃	C₂²	1	2	yes	—
123	C₂×#95×C₇₃	C₂²	1	2	yes	—
124	C₂×#95×C₇₃	C₂²	1	2	yes	—
125	C₂×#41×C₇₃	—	2	4	no	—
126	C₂×#41×C₇₃	—	2	8	no	—
127	C₂×#41×C₇₃	—	2	4	no	—
128	C₂×#41×C₇₃	—	2	8	no	—
129	C₂×#41×C₇₃	—	4	4	no	—
130	C₂×#41×C₇₃	—	4	2	no	—
131	C₂²×Q₈×C₇₃	—	2	4	no	—
132	C₂²×Q₈×C₇₃	—	2	4	no	—
133	C₂²×Q₈×C₇₃	—	4	2	no	—
134	C₂²×Q₈×C₇₃	C₂³	1	1	yes	characteristic
135	C₂²×Q₈×C₇₃	C₂³	1	2	yes	—
136	C₂²×Q₈×C₇₃	C₂³	1	2	yes	—
137	C₂²×Q₈×C₇₃	C₂³	1	1	yes	characteristic
138	C₂²×D₄×C₇₃	C₂³	1	1	yes	characteristic
139	C₂²×D₄×C₇₃	C₂³	1	1	yes	characteristic
140	C₂²×D₄×C₇₃	C₂³	1	2	yes	—
141	C₂²×D₄×C₇₃	C₂³	1	2	yes	—
142	C₂²×D₄×C₇₃	C₂³	1	2	yes	—
143	C₂²×D₄×C₇₃	C₂³	1	1	yes	characteristic
144	C₂²×D₄×C₇₃	C₂³	1	1	yes	characteristic
145	C₂³×C₄×C₇₃	C₂³	1	1	yes	characteristic
146	C₂³×C₄×C₇₃	C₂³	1	1	yes	characteristic
147	C₂³×C₄×C₇₃	C₂³	1	2	yes	—
148	C₂³×C₄×C₇₃	C₂³	1	2	yes	—
149	C₂³×C₄×C₇₃	C₂³	1	1	yes	characteristic
150	C₂³×C₄×C₇₃	C₂³	1	2	yes	—
151	C₂³×C₄×C₇₃	C₂³	1	2	yes	—
152	C₂³×C₄×C₇₃	C₂³	1	2	yes	—
153	C₂³×C₄×C₇₃	C₂³	1	1	yes	characteristic
154	C₂³×C₄×C₇₃	C₂³	1	1	yes	characteristic
155	C₂³×C₄×C₇₃	C₂³	1	2	yes	—
156	C₄⋊Q₈×C₇₃	—	2	4	no	—
157	#124×C₇₃	—	2	4	no	—
158	#124×C₇₃	—	2	8	no	—
159	#123×C₇₃	—	2	8	no	—
160	#123×C₇₃	—	2	8	no	—
161	#123×C₇₃	—	4	4	no	—
162	C₂²⋊Q₈×C₇₃	—	2	4	no	—
163	C₂²⋊Q₈×C₇₃	—	2	4	no	—
164	C₂²⋊Q₈×C₇₃	—	2	8	no	—
165	C₂²⋊Q₈×C₇₃	—	2	8	no	—
166	C₂²⋊Q₈×C₇₃	—	4	2	no	—
167	#121×C₇₃	—	2	4	no	—
168	#121×C₇₃	—	2	8	no	—
169	#121×C₇₃	—	2	4	no	—
170	#121×C₇₃	D₄	1	8	yes	complemented
171	C₄×Q₈×C₇₃	—	2	4	no	—
172	C₄×D₄×C₇₃	—	2	4	no	—
173	C₄×D₄×C₇₃	—	2	8	no	—
174	C₄×D₄×C₇₃	—	2	4	no	—
175	C₄×D₄×C₇₃	—	2	4	no	—
176	C₄×D₄×C₇₃	—	4	2	no	—
177	C₄×D₄×C₇₃	—	4	2	no	—
178	C₄×D₄×C₇₃	—	4	4	no	—
179	C₂×C₄⋊C₄×C₇₃	—	2	4	no	—
180	C₂×C₄⋊C₄×C₇₃	—	2	4	no	—
181	C₂×C₄⋊C₄×C₇₃	C₂³	1	1	yes	characteristic
182	C₂×C₄⋊C₄×C₇₃	C₂³	1	1	yes	characteristic
183	C₂×C₄⋊C₄×C₇₃	C₂³	1	1	yes	characteristic
184	C₂×C₄⋊C₄×C₇₃	C₂³	1	1	yes	characteristic
185	C₂×C₄⋊C₄×C₇₃	C₂³	1	1	yes	characteristic
186	C₂×C₄⋊C₄×C₇₃	C₂³	1	1	yes	characteristic
187	C₂×C₄⋊C₄×C₇₃	C₂³	1	2	yes	—
188	C₂×C₄⋊C₄×C₇₃	C₂³	1	2	yes	—
189	C₂×C₄⋊C₄×C₇₃	C₂³	1	2	yes	—
190	C₂×C₄⋊C₄×C₇₃	C₂³	1	2	yes	—
191	C₂×C₄⋊C₄×C₇₃	C₂³	1	2	yes	—
192	C₂×C₄⋊C₄×C₇₃	C₂³	1	1	yes	characteristic
193	C₂×C₄⋊C₄×C₇₃	C₂³	1	1	yes	characteristic
194	C₂×C₄⋊C₄×C₇₃	C₂³	1	2	yes	—
195	C₂×C₄⋊C₄×C₇₃	C₂³	1	1	yes	characteristic
196	C₂×C₄⋊C₄×C₇₃	C₂³	1	2	yes	—
197	C₂×C₄⋊C₄×C₇₃	C₂³	1	2	yes	—
198	C₂×C₄⋊C₄×C₇₃	C₂³	1	2	yes	—
199	C₂×C₄⋊C₄×C₇₃	C₂³	1	2	yes	—
200	C₂×C₄⋊C₄×C₇₃	C₂³	1	1	yes	characteristic
201	C₂×C₂²⋊C₄×C₇₃	C₂³	1	1	yes	characteristic
202	C₂×C₂²⋊C₄×C₇₃	C₂³	1	2	yes	—
203	C₂×C₂²⋊C₄×C₇₃	C₂³	1	1	yes	characteristic
204	C₂×C₂²⋊C₄×C₇₃	C₂³	1	2	yes	—
205	C₂×C₂²⋊C₄×C₇₃	C₂³	1	1	yes	characteristic
206	C₂×C₂²⋊C₄×C₇₃	C₂³	1	1	yes	characteristic
207	C₂×C₂²⋊C₄×C₇₃	C₂³	1	1	yes	characteristic
208	C₂×C₂²⋊C₄×C₇₃	C₂³	1	2	yes	—
209	C₂×C₂²⋊C₄×C₇₃	C₂³	1	1	yes	characteristic
210	C₂×C₂²⋊C₄×C₇₃	C₂³	1	2	yes	—
211	C₂×C₂²⋊C₄×C₇₃	C₂³	1	2	yes	—
212	C₂×C₂²⋊C₄×C₇₃	C₂³	1	2	yes	—
213	C₂×C₂²⋊C₄×C₇₃	C₂³	1	2	yes	—
214	C₂×C₂²⋊C₄×C₇₃	C₂³	1	2	yes	—
215	C₂×C₂²⋊C₄×C₇₃	C₂³	1	1	yes	characteristic
216	C₂×C₂²⋊C₄×C₇₃	C₂³	1	1	yes	characteristic
217	C₂×C₂²⋊C₄×C₇₃	C₂³	1	1	yes	characteristic
218	C₂×C₂²⋊C₄×C₇₃	C₂³	1	2	yes	—
219	C₂×C₂²⋊C₄×C₇₃	C₂³	1	2	yes	—
220	C₂×C₂²⋊C₄×C₇₃	C₂³	1	2	yes	—
221	C₂×C₂²⋊C₄×C₇₃	C₂³	1	2	yes	—
222	C₂×C₂²⋊C₄×C₇₃	C₂³	1	2	yes	—
223	C₂×C₂²⋊C₄×C₇₃	C₂³	1	1	yes	characteristic
224	C₂×C₂²⋊C₄×C₇₃	C₂³	1	2	yes	—
225	C₂×C₄²×C₇₃	—	4	2	no	—
226	C₂×C₄²×C₇₃	C₂³	1	1	yes	characteristic
227	C₂×C₄²×C₇₃	C₂³	1	1	yes	characteristic
228	C₂×C₄²×C₇₃	C₂³	1	1	yes	characteristic
229	C₂×C₄²×C₇₃	C₂³	1	2	yes	—
230	C₂×C₄²×C₇₃	C₂³	1	1	yes	characteristic
231	C₂×C₄²×C₇₃	C₂³	1	2	yes	—
232	C₂×C₄²×C₇₃	C₂³	1	1	yes	characteristic
233	C₂×C₄²×C₇₃	C₂³	1	1	yes	characteristic
234	#95×C₇₃	C₂³	1	1	yes	characteristic
235	#95×C₇₃	C₂³	1	1	yes	characteristic
236	#95×C₇₃	C₂³	1	1	yes	characteristic
237	#95×C₇₃	C₂³	1	2	yes	—
238	#95×C₇₃	C₂³	1	2	yes	—
239	#95×C₇₃	C₂³	1	2	yes	—
240	#95×C₇₃	C₂³	1	1	yes	characteristic
241	#95×C₇₃	C₂³	1	2	yes	—
242	#95×C₇₃	C₂³	1	1	yes	characteristic
243	#95×C₇₃	C₂³	1	2	yes	—
244	#95×C₇₃	C₂³	1	1	yes	characteristic
245	#95×C₇₃	C₂³	1	2	yes	—
246	#95×C₇₃	C₂³	1	2	yes	—
247	#95×C₇₃	C₂³	1	2	yes	—
248	#95×C₇₃	C₂³	1	2	yes	—
249	#95×C₇₃	C₂³	1	2	yes	—
250	#95×C₇₃	C₂³	1	2	yes	—
251	#95×C₇₃	C₂³	1	2	yes	—
252	#95×C₇₃	C₂³	1	2	yes	—
253	#95×C₇₃	C₂³	1	2	yes	—
254	#95×C₇₃	C₂³	1	2	yes	—
255	#95×C₇₃	C₂³	1	2	yes	—
256	#95×C₇₃	C₂³	1	2	yes	—
257	#95×C₇₃	C₂³	1	2	yes	—
258	#95×C₇₃	C₂³	1	2	yes	—
259	C₂⁴×C₇₃	C₂⁴	1	1	yes	characteristic
260	C₂⁴×C₇₃	C₂⁴	1	2	yes	—
261	C₂⁴×C₇₃	C₂⁴	1	1	yes	characteristic
262	C₂⁴×C₇₃	C₂⁴	1	1	yes	characteristic
263	#41×C₇₃	—	4	32	no	—
264	#41×C₇₃	—	4	16	no	—
265	C₂×Q₈×C₇₃	—	2	2	no	—
266	C₂×Q₈×C₇₃	—	2	4	no	—
267	C₂×Q₈×C₇₃	—	2	2	no	—
268	C₂×Q₈×C₇₃	—	2	4	no	—
269	C₂×Q₈×C₇₃	—	2	4	no	—
270	C₂×Q₈×C₇₃	—	2	2	no	—
271	C₂×Q₈×C₇₃	—	2	4	no	—
272	C₂×Q₈×C₇₃	—	2	2	no	—
273	C₂×Q₈×C₇₃	—	2	2	no	—
274	C₂×Q₈×C₇₃	—	4	2	no	—
275	C₂×Q₈×C₇₃	—	4	2	no	—
276	C₂×Q₈×C₇₃	—	4	16	no	—
277	C₂×Q₈×C₇₃	#41	1	4	yes	complemented
278	C₂×D₄×C₇₃	—	2	2	no	—
279	C₂×D₄×C₇₃	—	2	4	no	—
280	C₂×D₄×C₇₃	—	2	4	no	—
281	C₂×D₄×C₇₃	—	2	2	no	—
282	C₂×D₄×C₇₃	—	2	2	no	—
283	C₂×D₄×C₇₃	—	2	4	no	—
284	C₂×D₄×C₇₃	—	2	4	no	—
285	C₂×D₄×C₇₃	—	2	2	no	—
286	C₂×D₄×C₇₃	—	2	2	no	—
287	C₂×D₄×C₇₃	—	2	4	no	—
288	C₂×D₄×C₇₃	—	2	2	no	—
289	C₂×D₄×C₇₃	—	2	2	no	—
290	C₂×D₄×C₇₃	—	2	4	no	—
291	C₂×D₄×C₇₃	—	2	2	no	—
292	C₂×D₄×C₇₃	—	2	2	no	—
293	C₂×D₄×C₇₃	—	4	1	no	—
294	C₂×D₄×C₇₃	—	4	2	no	—
295	C₂×D₄×C₇₃	—	4	2	no	—
296	C₂×D₄×C₇₃	C₂×D₄	1	8	yes	—
297	C₂×D₄×C₇₃	C₂×D₄	1	4	yes	—
298	C₂×D₄×C₇₃	#41	1	4	yes	complemented
299	C₂²×C₄×C₇₃	—	2	2	no	—
300	C₂²×C₄×C₇₃	—	2	2	no	—
301	C₂²×C₄×C₇₃	—	2	4	no	—
302	C₂²×C₄×C₇₃	—	2	4	no	—
303	C₂²×C₄×C₇₃	—	2	4	no	—
304	C₂²×C₄×C₇₃	—	2	4	no	—
305	C₂²×C₄×C₇₃	—	2	2	no	—
306	C₂²×C₄×C₇₃	—	2	4	no	—
307	C₂²×C₄×C₇₃	—	2	4	no	—
308	C₂²×C₄×C₇₃	—	2	2	no	—
309	C₂²×C₄×C₇₃	—	2	4	no	—
310	C₂²×C₄×C₇₃	—	2	2	no	—
311	C₂²×C₄×C₇₃	—	2	4	no	—
312	C₂²×C₄×C₇₃	—	2	2	no	—
313	C₂²×C₄×C₇₃	—	2	2	no	—
314	C₂²×C₄×C₇₃	—	2	4	no	—
315	C₂²×C₄×C₇₃	—	2	4	no	—
316	C₂²×C₄×C₇₃	—	2	4	no	—
317	C₂²×C₄×C₇₃	—	2	2	no	—
318	C₂²×C₄×C₇₃	—	2	2	no	—
319	C₂²×C₄×C₇₃	—	2	2	no	—
320	C₂²×C₄×C₇₃	—	2	2	no	—
321	C₂²×C₄×C₇₃	—	2	2	no	—
322	C₂²×C₄×C₇₃	—	2	4	no	—
323	C₂²×C₄×C₇₃	—	4	1	no	—
324	C₂²×C₄×C₇₃	—	4	1	no	—
325	C₂²×C₄×C₇₃	—	4	2	no	—
326	C₂²×C₄×C₇₃	—	4	2	no	—
327	C₂²×C₄×C₇₃	—	4	2	no	—
328	C₂²×C₄×C₇₃	—	4	2	no	—
329	C₂²×C₄×C₇₃	—	4	2	no	—
330	C₂²×C₄×C₇₃	—	4	2	no	—
331	C₂²×C₄×C₇₃	C₂×D₄	1	4	yes	—
332	C₂²×C₄×C₇₃	C₂⁴	1	1	yes	characteristic
333	C₂²×C₄×C₇₃	C₂⁴	1	1	yes	characteristic
334	C₂²×C₄×C₇₃	C₂⁴	1	1	yes	characteristic
335	C₂²×C₄×C₇₃	C₂⁴	1	1	yes	characteristic
336	C₂²×C₄×C₇₃	C₂⁴	1	2	yes	—
337	C₂²×C₄×C₇₃	C₂⁴	1	2	yes	—
338	C₂²×C₄×C₇₃	C₂⁴	1	2	yes	—
339	C₂²×C₄×C₇₃	C₂⁴	1	1	yes	characteristic
340	C₂²×C₄×C₇₃	C₂⁴	1	2	yes	—
341	C₂²×C₄×C₇₃	C₂⁴	1	2	yes	—
342	C₂²×C₄×C₇₃	C₂⁴	1	1	yes	characteristic
343	C₂²×C₄×C₇₃	C₂⁴	1	1	yes	characteristic
344	C₂²×C₄×C₇₃	C₂⁴	1	1	yes	characteristic
345	C₂²×C₄×C₇₃	C₂⁴	1	2	yes	—
346	C₂²×C₄×C₇₃	C₂⁴	1	1	yes	characteristic
347	C₂²×C₄×C₇₃	C₂⁴	1	2	yes	—
348	C₂²×C₄×C₇₃	C₂⁴	1	1	yes	characteristic
349	C₂²×C₄×C₇₃	C₂⁴	1	1	yes	characteristic
350	C₂²×C₄×C₇₃	C₂⁴	1	1	yes	characteristic
351	C₄⋊C₄×C₇₃	—	2	2	no	—
352	C₄⋊C₄×C₇₃	—	2	2	no	—
353	C₄⋊C₄×C₇₃	—	2	4	no	—
354	C₄⋊C₄×C₇₃	—	2	4	no	—
355	C₄⋊C₄×C₇₃	—	2	2	no	—
356	C₄⋊C₄×C₇₃	—	2	2	no	—
357	C₄⋊C₄×C₇₃	—	2	4	no	—
358	C₄⋊C₄×C₇₃	—	2	4	no	—
359	C₄⋊C₄×C₇₃	—	2	4	no	—
360	C₄⋊C₄×C₇₃	—	2	2	no	—
361	C₄⋊C₄×C₇₃	—	2	2	no	—
362	C₄⋊C₄×C₇₃	—	2	4	no	—
363	C₄⋊C₄×C₇₃	—	2	2	no	—
364	C₄⋊C₄×C₇₃	—	2	2	no	—
365	C₄⋊C₄×C₇₃	—	4	1	no	—
366	C₄⋊C₄×C₇₃	—	4	2	no	—
367	C₄⋊C₄×C₇₃	—	4	2	no	—
368	C₄⋊C₄×C₇₃	—	4	2	no	—
369	C₄⋊C₄×C₇₃	—	4	2	no	—
370	C₄⋊C₄×C₇₃	C₂×D₄	1	4	yes	—
371	C₂²⋊C₄×C₇₃	—	2	2	no	—
372	C₂²⋊C₄×C₇₃	—	2	2	no	—
373	C₂²⋊C₄×C₇₃	—	2	4	no	—
374	C₂²⋊C₄×C₇₃	—	2	4	no	—
375	C₂²⋊C₄×C₇₃	—	2	4	no	—
376	C₂²⋊C₄×C₇₃	—	2	4	no	—
377	C₂²⋊C₄×C₇₃	—	2	2	no	—
378	C₂²⋊C₄×C₇₃	—	2	4	no	—
379	C₂²⋊C₄×C₇₃	—	2	2	no	—
380	C₂²⋊C₄×C₇₃	—	2	2	no	—
381	C₂²⋊C₄×C₇₃	—	2	4	no	—
382	C₂²⋊C₄×C₇₃	—	2	2	no	—
383	C₂²⋊C₄×C₇₃	—	2	4	no	—
384	C₂²⋊C₄×C₇₃	—	2	4	no	—
385	C₂²⋊C₄×C₇₃	—	2	2	no	—
386	C₂²⋊C₄×C₇₃	—	2	2	no	—
387	C₂²⋊C₄×C₇₃	—	4	2	no	—
388	C₂²⋊C₄×C₇₃	—	4	1	no	—
389	C₂²⋊C₄×C₇₃	—	4	1	no	—
390	C₂²⋊C₄×C₇₃	—	4	2	no	—
391	C₂²⋊C₄×C₇₃	—	4	2	no	—
392	C₂²⋊C₄×C₇₃	—	4	2	no	—
393	C₂²⋊C₄×C₇₃	—	4	2	no	—
394	C₂²⋊C₄×C₇₃	C₂×D₄	1	8	yes	—
395	C₄²×C₇₃	—	2	2	no	—
396	C₄²×C₇₃	—	2	4	no	—
397	C₄²×C₇₃	—	2	2	no	—
398	C₄²×C₇₃	—	2	2	no	—
399	C₄²×C₇₃	—	2	2	no	—
400	C₄²×C₇₃	—	4	1	no	—
401	C₄²×C₇₃	—	4	1	no	—
402	C₄²×C₇₃	—	4	2	no	—
403	C₂³×C₇₃	—	2	1	no	—
404	C₂³×C₇₃	—	2	1	no	—
405	C₂³×C₇₃	—	2	1	no	—
406	C₂³×C₇₃	—	2	1	no	—
407	C₂³×C₇₃	—	2	1	no	—
408	C₂³×C₇₃	—	2	1	no	—
409	C₂³×C₇₃	—	2	2	no	—
410	C₂³×C₇₃	—	2	2	no	—
411	C₂³×C₇₃	—	2	1	no	—
412	C₂³×C₇₃	—	2	2	no	—
413	C₂³×C₇₃	—	2	2	no	—
414	C₂³×C₇₃	—	2	1	no	—
415	C₂³×C₇₃	—	2	1	no	—
416	C₂³×C₇₃	—	2	2	no	—
417	C₂³×C₇₃	—	2	2	no	—
418	C₂³×C₇₃	—	2	1	no	—
419	C₂³×C₇₃	—	2	1	no	—
420	C₂³×C₇₃	—	2	1	no	—
421	C₂³×C₇₃	—	2	1	no	—
422	C₂³×C₇₃	—	2	1	no	—
423	C₂³×C₇₃	—	2	1	no	—
424	C₂³×C₇₃	—	2	1	no	—
425	C₂³×C₇₃	—	2	1	no	—
426	C₂³×C₇₃	C₂²×D₄	1	4	yes	—
427	C₂³×C₇₃	C₂²×D₄	1	2	yes	—
428	C₂³×C₇₃	C₂×#41	1	2	yes	—
429	C₂³×C₇₃	C₂×#41	1	2	yes	—
430	C₂³×C₇₃	H(5,𝔽₂)	1	2	yes	—
431	C₂³×C₇₃	C₂⁵	1	1	yes	characteristic
432	Q₈×C₇₃	—	2	8	no	—
433	Q₈×C₇₃	—	4	8	no	—
434	Q₈×C₇₃	—	4	8	no	—
435	Q₈×C₇₃	—	4	4	no	—
436	D₄×C₇₃	—	2	16	no	—
437	D₄×C₇₃	—	2	8	no	—
438	D₄×C₇₃	—	2	8	no	—
439	D₄×C₇₃	—	4	4	no	—
440	D₄×C₇₃	—	4	8	no	—
441	D₄×C₇₃	—	4	8	no	—
442	D₄×C₇₃	—	4	4	no	—
443	C₂×C₄×C₇₃	—	2	1	no	—
444	C₂×C₄×C₇₃	—	2	2	no	—
445	C₂×C₄×C₇₃	—	2	1	no	—
446	C₂×C₄×C₇₃	—	2	2	no	—
447	C₂×C₄×C₇₃	—	2	1	no	—
448	C₂×C₄×C₇₃	—	2	1	no	—
449	C₂×C₄×C₇₃	—	2	1	no	—
450	C₂×C₄×C₇₃	—	2	1	no	—
451	C₂×C₄×C₇₃	—	2	1	no	—
452	C₂×C₄×C₇₃	—	2	2	no	—
453	C₂×C₄×C₇₃	—	2	1	no	—
454	C₂×C₄×C₇₃	—	2	2	no	—
455	C₂×C₄×C₇₃	—	2	8	no	—
456	C₂×C₄×C₇₃	—	2	1	no	—
457	C₂×C₄×C₇₃	—	2	1	no	—
458	C₂×C₄×C₇₃	—	2	1	no	—
459	C₂×C₄×C₇₃	—	2	1	no	—
460	C₂×C₄×C₇₃	—	2	2	no	—
461	C₂×C₄×C₇₃	—	2	1	no	—
462	C₂×C₄×C₇₃	—	2	2	no	—
463	C₂×C₄×C₇₃	—	2	2	no	—
464	C₂×C₄×C₇₃	—	2	1	no	—
465	C₂×C₄×C₇₃	—	2	2	no	—
466	C₂×C₄×C₇₃	—	2	1	no	—
467	C₂×C₄×C₇₃	—	2	1	no	—
468	C₂×C₄×C₇₃	—	2	2	no	—
469	C₂×C₄×C₇₃	—	2	1	no	—
470	C₂×C₄×C₇₃	—	2	2	no	—
471	C₂×C₄×C₇₃	—	2	2	no	—
472	C₂×C₄×C₇₃	—	2	1	no	—
473	C₂×C₄×C₇₃	—	2	1	no	—
474	C₂×C₄×C₇₃	—	2	2	no	—
475	C₂×C₄×C₇₃	—	2	2	no	—
476	C₂×C₄×C₇₃	—	2	2	no	—
477	C₂×C₄×C₇₃	—	2	1	no	—
478	C₂×C₄×C₇₃	—	2	1	no	—
479	C₂×C₄×C₇₃	—	2	1	no	—
480	C₂×C₄×C₇₃	—	2	2	no	—
481	C₂×C₄×C₇₃	—	2	2	no	—
482	C₂×C₄×C₇₃	—	2	2	no	—
483	C₂×C₄×C₇₃	—	2	1	no	—
484	C₂×C₄×C₇₃	—	2	1	no	—
485	C₂×C₄×C₇₃	—	2	1	no	—
486	C₂×C₄×C₇₃	—	2	2	no	—
487	C₂×C₄×C₇₃	—	2	1	no	—
488	C₂×C₄×C₇₃	—	2	1	no	—
489	C₂×C₄×C₇₃	—	2	1	no	—
490	C₂×C₄×C₇₃	—	2	1	no	—
491	C₂×C₄×C₇₃	—	2	2	no	—
492	C₂×C₄×C₇₃	—	4	4	no	—
493	C₂×C₄×C₇₃	—	4	4	no	—
494	C₂×C₄×C₇₃	—	4	8	no	—
495	C₂×C₄×C₇₃	—	4	8	no	—
496	C₂×C₄×C₇₃	—	4	8	no	—
497	C₂×C₄×C₇₃	—	4	8	no	—
498	C₂×C₄×C₇₃	—	4	8	no	—
499	C₂×C₄×C₇₃	—	4	4	no	—
500	C₂×C₄×C₇₃	—	4	4	no	—
501	C₂×C₄×C₇₃	—	8	4	no	—
502	C₂×C₄×C₇₃	C₂²×D₄	1	4	yes	—
503	C₂×C₄×C₇₃	C₂²×D₄	1	2	yes	—
504	C₂×C₄×C₇₃	C₂²×D₄	1	2	yes	—
505	C₂×C₄×C₇₃	C₂×#41	1	4	yes	—
506	C₂×C₄×C₇₃	C₂×#41	1	2	yes	—
507	C₂×C₄×C₇₃	C₂×#41	1	2	yes	—
508	C₂×C₄×C₇₃	H(5,𝔽₂)	1	2	yes	—
509	C₂×C₄×C₇₃	2₋¹⁺⁴	1	2	yes	—
510	C₂×C₄×C₇₃	2₋¹⁺⁴	1	2	yes	—
511	C₂²×C₇₃	—	2	2	no	—
512	C₂²×C₇₃	—	2	2	no	—
513	C₂²×C₇₃	—	2	2	no	—
514	C₂²×C₇₃	—	2	2	no	—
515	C₂²×C₇₃	—	2	2	no	—
516	C₂²×C₇₃	—	2	2	no	—
517	C₂²×C₇₃	—	2	2	no	—
518	C₂²×C₇₃	—	2	4	no	—
519	C₂²×C₇₃	—	2	4	no	—
520	C₂²×C₇₃	—	2	2	no	—
521	C₂²×C₇₃	—	2	4	no	—
522	C₂²×C₇₃	—	2	2	no	—
523	C₂²×C₇₃	—	4	1	no	—
524	C₂²×C₇₃	—	4	2	no	—
525	C₂²×C₇₃	—	4	1	no	—
526	C₂²×C₇₃	—	4	2	no	—
527	C₂²×C₇₃	—	4	1	no	—
528	C₂²×C₇₃	—	4	2	no	—
529	C₂²×C₇₃	—	4	2	no	—
530	C₂²×C₇₃	—	4	1	no	—
531	C₂²×C₇₃	—	4	1	no	—
532	C₂²×C₇₃	—	4	1	no	—
533	C₂²×C₇₃	—	4	1	no	—
534	C₂²×C₇₃	—	4	1	no	—
535	C₂²×C₇₃	—	4	1	no	—
536	C₂²×C₇₃	—	4	1	no	—
537	C₂²×C₇₃	—	4	1	no	—
538	C₂²×C₇₃	#546	1	4	yes	—
539	C₂²×C₇₃	C₂³×D₄	1	1	yes	characteristic
540	C₂²×C₇₃	C₂²×#41	1	1	yes	characteristic
541	C₂²×C₇₃	C₂²×#41	1	1	yes	characteristic
542	C₂²×C₇₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
543	C₂²×C₇₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
544	C₂²×C₇₃	C₂×2₋¹⁺⁴	1	1	yes	characteristic
545	C₂²×C₇₃	C₂×2₋¹⁺⁴	1	1	yes	characteristic
546	C₄×C₇₃	—	2	2	no	—
547	C₄×C₇₃	—	2	2	no	—
548	C₄×C₇₃	—	2	4	no	—
549	C₄×C₇₃	—	2	4	no	—
550	C₄×C₇₃	—	2	2	no	—
551	C₄×C₇₃	—	2	2	no	—
552	C₄×C₇₃	—	4	1	no	—
553	C₄×C₇₃	—	4	2	no	—
554	C₄×C₇₃	—	4	1	no	—
555	C₄×C₇₃	—	4	2	no	—
556	C₄×C₇₃	—	4	2	no	—
557	C₄×C₇₃	—	4	1	no	—
558	C₄×C₇₃	—	4	1	no	—
559	C₄×C₇₃	—	4	1	no	—
560	C₄×C₇₃	—	4	1	no	—
561	C₄×C₇₃	—	4	2	no	—
562	C₄×C₇₃	—	4	1	no	—
563	C₄×C₇₃	—	4	2	no	—
564	C₄×C₇₃	#546	1	4	yes	—
565	#59409	C₇₃	1	1	yes	maximal, characteristic, direct product factor, Sylow
566	C₂×C₇₃	—	2	4	no	—
567	C₂×C₇₃	—	4	2	no	—
568	C₂×C₇₃	—	4	4	no	—
569	C₂×C₇₃	—	8	1	no	—
570	C₂×C₇₃	C₂×#546	1	1	yes	characteristic
571	C₂×C₇₃	C₂×#546	1	1	yes	characteristic
572	C₂×C₇₃	#3482	1	1	yes	characteristic
573	C₂×C₇₃	#3499	1	1	yes	characteristic
574	C₂×C₇₃	#3520	1	1	yes	characteristic
575	C₂×C₇₃	#3522	1	1	yes	characteristic
576	C₂×C₇₃	#3536	1	1	yes	characteristic
577	C₂×#548	C₂×C₇₃	1	1	yes	characteristic, complemented
578	C₂×#547	C₂×C₇₃	1	1	yes	characteristic, complemented
579	#2700	C₂×C₇₃	1	2	yes	complemented
580	#2687	C₂×C₇₃	1	2	yes	complemented
581	#2557	C₂×C₇₃	1	2	yes	complemented
582	#2549	C₂×C₇₃	1	2	yes	complemented
583	#2492	C₂×C₇₃	1	1	yes	characteristic, complemented
584	#2486	C₂×C₇₃	1	1	yes	characteristic, complemented
585	#2451	C₂×C₇₃	1	1	yes	characteristic, complemented
586	#2447	C₂×C₇₃	1	1	yes	characteristic, complemented
587	#2430	C₂×C₇₃	1	2	yes	complemented
588	#2427	C₂×C₇₃	1	1	yes	characteristic, complemented
589	#2425	C₂×C₇₃	1	2	yes	complemented
590	#2419	C₂×C₇₃	1	2	yes	complemented
591	#2417	C₂×C₇₃	1	1	yes	characteristic, complemented
592	#2409	C₂×C₇₃	1	1	yes	characteristic, complemented
593	#2407	C₂×C₇₃	1	1	yes	characteristic, complemented
594	#2360	C₂×C₇₃	1	1	yes	characteristic, complemented
595	#2339	C₂×C₇₃	1	2	yes	complemented
596	#2339	C₂×C₇₃	1	1	yes	characteristic, complemented
597	C₄×#121	C₂×C₇₃	1	1	yes	characteristic, complemented
598	C₄×#121	C₂×C₇₃	1	1	yes	characteristic, complemented
599	C₂×#391	C₂×C₇₃	1	1	yes	characteristic, complemented
600	C₇₃	#59409	1	1	yes	characteristic, direct product factor, Sylow
601	C₂²×#41	C₂²×C₇₃	1	1	yes	characteristic
602	C₂²×#41	C₂²×C₇₃	1	2	yes	—
603	C₂³×Q₈	C₂²×C₇₃	1	1	yes	characteristic
604	#548	—	2	8	no	—
605	#547	—	2	8	no	—
606	C₂×C₄⋊Q₈	C₂²×C₇₃	1	1	yes	characteristic
607	C₂×#124	C₂²×C₇₃	1	1	yes	characteristic
608	C₂×#124	C₂²×C₇₃	1	2	yes	—
609	C₂×#123	C₂²×C₇₃	1	2	yes	—
610	C₂×#123	C₂²×C₇₃	1	2	yes	—
611	C₂×#123	C₂²×C₇₃	1	2	yes	—
612	C₂×C₂²⋊Q₈	C₂²×C₇₃	1	1	yes	characteristic
613	C₂×C₂²⋊Q₈	C₂²×C₇₃	1	1	yes	characteristic
614	C₂×C₂²⋊Q₈	C₂²×C₇₃	1	2	yes	—
615	C₂×C₂²⋊Q₈	C₂²×C₇₃	1	2	yes	—
616	C₂×C₂²⋊Q₈	C₂²×C₇₃	1	1	yes	characteristic
617	C₂×#121	C₂²×C₇₃	1	1	yes	characteristic
618	C₂×#121	C₂²×C₇₃	1	2	yes	—
619	C₂×#121	C₂²×C₇₃	1	1	yes	characteristic
620	C₂×#121	C₂²×C₇₃	1	1	yes	characteristic
621	C₂×C₄×Q₈	C₂²×C₇₃	1	1	yes	characteristic
622	C₂×C₄×D₄	C₂²×C₇₃	1	2	yes	—
623	C₂×C₄×D₄	C₂²×C₇₃	1	1	yes	characteristic
624	C₂×C₄×D₄	C₂²×C₇₃	1	1	yes	characteristic
625	C₂×C₄×D₄	C₂²×C₇₃	1	1	yes	characteristic
626	C₂×C₄×D₄	C₂²×C₇₃	1	2	yes	—
627	C₂×C₄×D₄	C₂²×C₇₃	1	1	yes	characteristic
628	C₂×C₄×D₄	C₂²×C₇₃	1	1	yes	characteristic
629	C₂²×C₄⋊C₄	C₂²×C₇₃	1	1	yes	characteristic
630	C₂²×C₄⋊C₄	C₂²×C₇₃	1	1	yes	characteristic
631	C₂²×C₄²	C₂²×C₇₃	1	1	yes	characteristic
632	#400	C₂²×C₇₃	1	2	yes	—
633	#398	C₂²×C₇₃	1	2	yes	—
634	#398	C₂²×C₇₃	1	2	yes	—
635	#398	C₂²×C₇₃	1	2	yes	—
636	#397	C₂²×C₇₃	1	2	yes	—
637	#397	C₂²×C₇₃	1	2	yes	—
638	#397	C₂²×C₇₃	1	2	yes	—
639	#397	C₂²×C₇₃	1	2	yes	—
640	#396	C₂²×C₇₃	1	2	yes	—
641	#395	C₂²×C₇₃	1	2	yes	—
642	#395	C₂²×C₇₃	1	2	yes	—
643	#394	C₂²×C₇₃	1	2	yes	—
644	#394	C₂²×C₇₃	1	2	yes	—
645	#393	C₂²×C₇₃	1	2	yes	—
646	#393	C₂²×C₇₃	1	2	yes	—
647	#392	C₂²×C₇₃	1	2	yes	—
648	#391	C₂²×C₇₃	1	1	yes	characteristic
649	#391	C₂²×C₇₃	1	1	yes	characteristic
650	#391	C₂²×C₇₃	1	2	yes	—
651	#391	C₂²×C₇₃	1	2	yes	—
652	#391	C₂²×C₇₃	1	1	yes	characteristic
653	#391	C₂²×C₇₃	1	1	yes	characteristic
654	#391	C₂²×C₇₃	1	1	yes	characteristic
655	#391	C₂²×C₇₃	1	1	yes	characteristic
656	#391	C₂²×C₇₃	1	2	yes	—
657	#391	C₂²×C₇₃	1	2	yes	—
658	#390	C₂²×C₇₃	1	1	yes	characteristic
659	#390	C₂²×C₇₃	1	1	yes	characteristic
660	#389	C₂²×C₇₃	1	2	yes	—
661	#389	C₂²×C₇₃	1	1	yes	characteristic
662	#389	C₂²×C₇₃	1	1	yes	characteristic
663	#389	C₂²×C₇₃	1	1	yes	characteristic
664	#389	C₂²×C₇₃	1	1	yes	characteristic
665	#388	C₂²×C₇₃	1	2	yes	—
666	#388	C₂²×C₇₃	1	1	yes	characteristic
667	#388	C₂²×C₇₃	1	2	yes	—
668	#388	C₂²×C₇₃	1	1	yes	characteristic
669	#387	C₂²×C₇₃	1	2	yes	—
670	#387	C₂²×C₇₃	1	2	yes	—
671	#386	C₂²×C₇₃	1	1	yes	characteristic
672	#386	C₂²×C₇₃	1	2	yes	—
673	#386	C₂²×C₇₃	1	2	yes	—
674	#386	C₂²×C₇₃	1	2	yes	—
675	#386	C₂²×C₇₃	1	2	yes	—
676	#386	C₂²×C₇₃	1	2	yes	—
677	#386	C₂²×C₇₃	1	2	yes	—
678	#386	C₂²×C₇₃	1	2	yes	—
679	#386	C₂²×C₇₃	1	1	yes	characteristic
680	#385	C₂²×C₇₃	1	2	yes	—
681	#385	C₂²×C₇₃	1	2	yes	—
682	#385	C₂²×C₇₃	1	2	yes	—
683	#385	C₂²×C₇₃	1	2	yes	—
684	#381	C₂²×C₇₃	1	2	yes	—
685	#381	C₂²×C₇₃	1	2	yes	—
686	#381	C₂²×C₇₃	1	2	yes	—
687	#380	C₂²×C₇₃	1	2	yes	—
688	#380	C₂²×C₇₃	1	1	yes	characteristic
689	#380	C₂²×C₇₃	1	1	yes	characteristic
690	#380	C₂²×C₇₃	1	1	yes	characteristic
691	#380	C₂²×C₇₃	1	1	yes	characteristic
692	#380	C₂²×C₇₃	1	2	yes	—
693	C₄×C₄⋊C₄	C₂²×C₇₃	1	1	yes	characteristic
694	C₄×C₄⋊C₄	C₂²×C₇₃	1	1	yes	characteristic
695	C₄×C₂²⋊C₄	C₂²×C₇₃	1	2	yes	—
696	C₄×C₂²⋊C₄	C₂²×C₇₃	1	1	yes	characteristic
697	C₄×C₂²⋊C₄	C₂²×C₇₃	1	1	yes	characteristic
698	C₄×C₂²⋊C₄	C₂²×C₇₃	1	2	yes	—
699	C₂×#95	C₂²×C₇₃	1	2	yes	—
700	C₂×#95	C₂²×C₇₃	1	2	yes	—
701	C₂×#95	C₂²×C₇₃	1	2	yes	—
702	C₂×#41	—	2	4	no	—
703	C₂×#41	—	2	8	no	—
704	C₂×#41	—	2	4	no	—
705	C₂×#41	—	2	8	no	—
706	C₂×#41	—	4	4	no	—
707	C₂×#41	—	4	2	no	—
708	C₂²×Q₈	—	2	4	no	—
709	C₂²×Q₈	—	2	4	no	—
710	C₂²×Q₈	—	4	2	no	—
711	C₂²×Q₈	C₂³×C₇₃	1	1	yes	characteristic
712	C₂²×Q₈	C₂³×C₇₃	1	2	yes	—
713	C₂²×Q₈	C₂³×C₇₃	1	2	yes	—
714	C₂²×Q₈	C₂³×C₇₃	1	1	yes	characteristic
715	C₂²×D₄	C₂³×C₇₃	1	1	yes	characteristic
716	C₂²×D₄	C₂³×C₇₃	1	1	yes	characteristic
717	C₂²×D₄	C₂³×C₇₃	1	2	yes	—
718	C₂²×D₄	C₂³×C₇₃	1	2	yes	—
719	C₂²×D₄	C₂³×C₇₃	1	2	yes	—
720	C₂²×D₄	C₂³×C₇₃	1	1	yes	characteristic
721	C₂²×D₄	C₂³×C₇₃	1	1	yes	characteristic
722	C₂³×C₄	C₂³×C₇₃	1	1	yes	characteristic
723	C₂³×C₄	C₂³×C₇₃	1	2	yes	—
724	C₂³×C₄	C₂³×C₇₃	1	1	yes	characteristic
725	C₂³×C₄	C₂³×C₇₃	1	2	yes	—
726	C₂³×C₄	C₂³×C₇₃	1	1	yes	characteristic
727	C₂³×C₄	C₂³×C₇₃	1	2	yes	—
728	C₂³×C₄	C₂³×C₇₃	1	2	yes	—
729	C₂³×C₄	C₂³×C₇₃	1	2	yes	—
730	C₂³×C₄	C₂³×C₇₃	1	1	yes	characteristic
731	C₂³×C₄	C₂³×C₇₃	1	1	yes	characteristic
732	C₂³×C₄	C₂³×C₇₃	1	2	yes	—
733	C₄⋊Q₈	—	2	4	no	—
734	#124	—	2	4	no	—
735	#124	—	2	8	no	—
736	#123	—	2	8	no	—
737	#123	—	2	8	no	—
738	#123	—	4	4	no	—
739	C₂²⋊Q₈	—	2	4	no	—
740	C₂²⋊Q₈	—	2	4	no	—
741	C₂²⋊Q₈	—	2	8	no	—
742	C₂²⋊Q₈	—	2	8	no	—
743	C₂²⋊Q₈	—	4	2	no	—
744	#121	—	2	4	no	—
745	#121	—	2	8	no	—
746	#121	—	2	4	no	—
747	#121	D₄×C₇₃	1	8	yes	complemented
748	C₄×Q₈	—	2	4	no	—
749	C₄×D₄	—	2	4	no	—
750	C₄×D₄	—	2	8	no	—
751	C₄×D₄	—	2	4	no	—
752	C₄×D₄	—	2	4	no	—
753	C₄×D₄	—	4	2	no	—
754	C₄×D₄	—	4	2	no	—
755	C₄×D₄	—	4	4	no	—
756	C₂×C₄⋊C₄	—	2	4	no	—
757	C₂×C₄⋊C₄	—	2	4	no	—
758	C₂×C₄⋊C₄	C₂³×C₇₃	1	1	yes	characteristic
759	C₂×C₄⋊C₄	C₂³×C₇₃	1	1	yes	characteristic
760	C₂×C₄⋊C₄	C₂³×C₇₃	1	2	yes	—
761	C₂×C₄⋊C₄	C₂³×C₇₃	1	2	yes	—
762	C₂×C₄⋊C₄	C₂³×C₇₃	1	2	yes	—
763	C₂×C₄⋊C₄	C₂³×C₇₃	1	1	yes	characteristic
764	C₂×C₄⋊C₄	C₂³×C₇₃	1	1	yes	characteristic
765	C₂×C₄⋊C₄	C₂³×C₇₃	1	1	yes	characteristic
766	C₂×C₄⋊C₄	C₂³×C₇₃	1	2	yes	—
767	C₂×C₄⋊C₄	C₂³×C₇₃	1	1	yes	characteristic
768	C₂×C₄⋊C₄	C₂³×C₇₃	1	1	yes	characteristic
769	C₂×C₄⋊C₄	C₂³×C₇₃	1	2	yes	—
770	C₂×C₄⋊C₄	C₂³×C₇₃	1	2	yes	—
771	C₂×C₄⋊C₄	C₂³×C₇₃	1	1	yes	characteristic
772	C₂×C₄⋊C₄	C₂³×C₇₃	1	1	yes	characteristic
773	C₂×C₄⋊C₄	C₂³×C₇₃	1	2	yes	—
774	C₂×C₄⋊C₄	C₂³×C₇₃	1	2	yes	—
775	C₂×C₄⋊C₄	C₂³×C₇₃	1	2	yes	—
776	C₂×C₄⋊C₄	C₂³×C₇₃	1	2	yes	—
777	C₂×C₄⋊C₄	C₂³×C₇₃	1	1	yes	characteristic
778	C₂×C₂²⋊C₄	C₂³×C₇₃	1	1	yes	characteristic
779	C₂×C₂²⋊C₄	C₂³×C₇₃	1	1	yes	characteristic
780	C₂×C₂²⋊C₄	C₂³×C₇₃	1	2	yes	—
781	C₂×C₂²⋊C₄	C₂³×C₇₃	1	1	yes	characteristic
782	C₂×C₂²⋊C₄	C₂³×C₇₃	1	2	yes	—
783	C₂×C₂²⋊C₄	C₂³×C₇₃	1	2	yes	—
784	C₂×C₂²⋊C₄	C₂³×C₇₃	1	1	yes	characteristic
785	C₂×C₂²⋊C₄	C₂³×C₇₃	1	2	yes	—
786	C₂×C₂²⋊C₄	C₂³×C₇₃	1	2	yes	—
787	C₂×C₂²⋊C₄	C₂³×C₇₃	1	2	yes	—
788	C₂×C₂²⋊C₄	C₂³×C₇₃	1	1	yes	characteristic
789	C₂×C₂²⋊C₄	C₂³×C₇₃	1	1	yes	characteristic
790	C₂×C₂²⋊C₄	C₂³×C₇₃	1	2	yes	—
791	C₂×C₂²⋊C₄	C₂³×C₇₃	1	1	yes	characteristic
792	C₂×C₂²⋊C₄	C₂³×C₇₃	1	2	yes	—
793	C₂×C₂²⋊C₄	C₂³×C₇₃	1	1	yes	characteristic
794	C₂×C₂²⋊C₄	C₂³×C₇₃	1	1	yes	characteristic
795	C₂×C₂²⋊C₄	C₂³×C₇₃	1	2	yes	—
796	C₂×C₂²⋊C₄	C₂³×C₇₃	1	2	yes	—
797	C₂×C₂²⋊C₄	C₂³×C₇₃	1	1	yes	characteristic
798	C₂×C₂²⋊C₄	C₂³×C₇₃	1	2	yes	—
799	C₂×C₂²⋊C₄	C₂³×C₇₃	1	2	yes	—
800	C₂×C₂²⋊C₄	C₂³×C₇₃	1	2	yes	—
801	C₂×C₂²⋊C₄	C₂³×C₇₃	1	2	yes	—
802	C₂×C₄²	—	4	2	no	—
803	C₂×C₄²	C₂³×C₇₃	1	1	yes	characteristic
804	C₂×C₄²	C₂³×C₇₃	1	1	yes	characteristic
805	C₂×C₄²	C₂³×C₇₃	1	2	yes	—
806	C₂×C₄²	C₂³×C₇₃	1	1	yes	characteristic
807	C₂×C₄²	C₂³×C₇₃	1	1	yes	characteristic
808	C₂×C₄²	C₂³×C₇₃	1	2	yes	—
809	C₂×C₄²	C₂³×C₇₃	1	1	yes	characteristic
810	C₂×C₄²	C₂³×C₇₃	1	1	yes	characteristic
811	#95	C₂³×C₇₃	1	1	yes	characteristic
812	#95	C₂³×C₇₃	1	2	yes	—
813	#95	C₂³×C₇₃	1	2	yes	—
814	#95	C₂³×C₇₃	1	2	yes	—
815	#95	C₂³×C₇₃	1	2	yes	—
816	#95	C₂³×C₇₃	1	2	yes	—
817	#95	C₂³×C₇₃	1	2	yes	—
818	#95	C₂³×C₇₃	1	2	yes	—
819	#95	C₂³×C₇₃	1	2	yes	—
820	#95	C₂³×C₇₃	1	2	yes	—
821	#95	C₂³×C₇₃	1	2	yes	—
822	#95	C₂³×C₇₃	1	1	yes	characteristic
823	#95	C₂³×C₇₃	1	1	yes	characteristic
824	#95	C₂³×C₇₃	1	1	yes	characteristic
825	#95	C₂³×C₇₃	1	2	yes	—
826	#95	C₂³×C₇₃	1	2	yes	—
827	#95	C₂³×C₇₃	1	2	yes	—
828	#95	C₂³×C₇₃	1	1	yes	characteristic
829	#95	C₂³×C₇₃	1	2	yes	—
830	#95	C₂³×C₇₃	1	1	yes	characteristic
831	#95	C₂³×C₇₃	1	2	yes	—
832	#95	C₂³×C₇₃	1	2	yes	—
833	#95	C₂³×C₇₃	1	2	yes	—
834	#95	C₂³×C₇₃	1	2	yes	—
835	#95	C₂³×C₇₃	1	2	yes	—
836	C₂⁴	C₂⁴×C₇₃	1	1	yes	characteristic
837	C₂⁴	C₂⁴×C₇₃	1	2	yes	—
838	C₂⁴	C₂⁴×C₇₃	1	1	yes	characteristic
839	C₂⁴	C₂⁴×C₇₃	1	1	yes	characteristic
840	#41	—	4	32	no	—
841	#41	—	4	16	no	—
842	C₂×Q₈	—	2	2	no	—
843	C₂×Q₈	—	2	4	no	—
844	C₂×Q₈	—	2	2	no	—
845	C₂×Q₈	—	2	4	no	—
846	C₂×Q₈	—	2	4	no	—
847	C₂×Q₈	—	2	2	no	—
848	C₂×Q₈	—	2	4	no	—
849	C₂×Q₈	—	2	2	no	—
850	C₂×Q₈	—	2	2	no	—
851	C₂×Q₈	—	4	2	no	—
852	C₂×Q₈	—	4	2	no	—
853	C₂×Q₈	—	4	16	no	—
854	C₂×Q₈	#41×C₇₃	1	4	yes	complemented
855	C₂×D₄	—	2	2	no	—
856	C₂×D₄	—	2	4	no	—
857	C₂×D₄	—	2	4	no	—
858	C₂×D₄	—	2	2	no	—
859	C₂×D₄	—	2	2	no	—
860	C₂×D₄	—	2	4	no	—
861	C₂×D₄	—	2	4	no	—
862	C₂×D₄	—	2	2	no	—
863	C₂×D₄	—	2	2	no	—
864	C₂×D₄	—	2	4	no	—
865	C₂×D₄	—	2	2	no	—
866	C₂×D₄	—	2	2	no	—
867	C₂×D₄	—	2	4	no	—
868	C₂×D₄	—	2	2	no	—
869	C₂×D₄	—	2	2	no	—
870	C₂×D₄	—	4	1	no	—
871	C₂×D₄	—	4	2	no	—
872	C₂×D₄	—	4	2	no	—
873	C₂×D₄	C₂×D₄×C₇₃	1	8	yes	—
874	C₂×D₄	C₂×D₄×C₇₃	1	4	yes	—
875	C₂×D₄	#41×C₇₃	1	4	yes	complemented
876	C₂²×C₄	—	2	2	no	—
877	C₂²×C₄	—	2	2	no	—
878	C₂²×C₄	—	2	4	no	—
879	C₂²×C₄	—	2	4	no	—
880	C₂²×C₄	—	2	4	no	—
881	C₂²×C₄	—	2	4	no	—
882	C₂²×C₄	—	2	2	no	—
883	C₂²×C₄	—	2	4	no	—
884	C₂²×C₄	—	2	4	no	—
885	C₂²×C₄	—	2	2	no	—
886	C₂²×C₄	—	2	4	no	—
887	C₂²×C₄	—	2	2	no	—
888	C₂²×C₄	—	2	4	no	—
889	C₂²×C₄	—	2	2	no	—
890	C₂²×C₄	—	2	2	no	—
891	C₂²×C₄	—	2	4	no	—
892	C₂²×C₄	—	2	4	no	—
893	C₂²×C₄	—	2	4	no	—
894	C₂²×C₄	—	2	2	no	—
895	C₂²×C₄	—	2	2	no	—
896	C₂²×C₄	—	2	2	no	—
897	C₂²×C₄	—	2	2	no	—
898	C₂²×C₄	—	2	2	no	—
899	C₂²×C₄	—	2	4	no	—
900	C₂²×C₄	—	4	1	no	—
901	C₂²×C₄	—	4	1	no	—
902	C₂²×C₄	—	4	2	no	—
903	C₂²×C₄	—	4	2	no	—
904	C₂²×C₄	—	4	2	no	—
905	C₂²×C₄	—	4	2	no	—
906	C₂²×C₄	—	4	2	no	—
907	C₂²×C₄	—	4	2	no	—
908	C₂²×C₄	C₂×D₄×C₇₃	1	4	yes	—
909	C₂²×C₄	C₂⁴×C₇₃	1	1	yes	characteristic
910	C₂²×C₄	C₂⁴×C₇₃	1	1	yes	characteristic
911	C₂²×C₄	C₂⁴×C₇₃	1	1	yes	characteristic
912	C₂²×C₄	C₂⁴×C₇₃	1	1	yes	characteristic
913	C₂²×C₄	C₂⁴×C₇₃	1	2	yes	—
914	C₂²×C₄	C₂⁴×C₇₃	1	2	yes	—
915	C₂²×C₄	C₂⁴×C₇₃	1	2	yes	—
916	C₂²×C₄	C₂⁴×C₇₃	1	1	yes	characteristic
917	C₂²×C₄	C₂⁴×C₇₃	1	2	yes	—
918	C₂²×C₄	C₂⁴×C₇₃	1	2	yes	—
919	C₂²×C₄	C₂⁴×C₇₃	1	1	yes	characteristic
920	C₂²×C₄	C₂⁴×C₇₃	1	1	yes	characteristic
921	C₂²×C₄	C₂⁴×C₇₃	1	1	yes	characteristic
922	C₂²×C₄	C₂⁴×C₇₃	1	2	yes	—
923	C₂²×C₄	C₂⁴×C₇₃	1	1	yes	characteristic
924	C₂²×C₄	C₂⁴×C₇₃	1	2	yes	—
925	C₂²×C₄	C₂⁴×C₇₃	1	1	yes	characteristic
926	C₂²×C₄	C₂⁴×C₇₃	1	1	yes	characteristic
927	C₂²×C₄	C₂⁴×C₇₃	1	1	yes	characteristic
928	C₄⋊C₄	—	2	2	no	—
929	C₄⋊C₄	—	2	2	no	—
930	C₄⋊C₄	—	2	4	no	—
931	C₄⋊C₄	—	2	4	no	—
932	C₄⋊C₄	—	2	2	no	—
933	C₄⋊C₄	—	2	2	no	—
934	C₄⋊C₄	—	2	4	no	—
935	C₄⋊C₄	—	2	4	no	—
936	C₄⋊C₄	—	2	4	no	—
937	C₄⋊C₄	—	2	2	no	—
938	C₄⋊C₄	—	2	2	no	—
939	C₄⋊C₄	—	2	4	no	—
940	C₄⋊C₄	—	2	2	no	—
941	C₄⋊C₄	—	2	2	no	—
942	C₄⋊C₄	—	4	1	no	—
943	C₄⋊C₄	—	4	2	no	—
944	C₄⋊C₄	—	4	2	no	—
945	C₄⋊C₄	—	4	2	no	—
946	C₄⋊C₄	—	4	2	no	—
947	C₄⋊C₄	C₂×D₄×C₇₃	1	4	yes	—
948	C₂²⋊C₄	—	2	2	no	—
949	C₂²⋊C₄	—	2	2	no	—
950	C₂²⋊C₄	—	2	4	no	—
951	C₂²⋊C₄	—	2	4	no	—
952	C₂²⋊C₄	—	2	4	no	—
953	C₂²⋊C₄	—	2	4	no	—
954	C₂²⋊C₄	—	2	2	no	—
955	C₂²⋊C₄	—	2	4	no	—
956	C₂²⋊C₄	—	2	2	no	—
957	C₂²⋊C₄	—	2	2	no	—
958	C₂²⋊C₄	—	2	4	no	—
959	C₂²⋊C₄	—	2	2	no	—
960	C₂²⋊C₄	—	2	4	no	—
961	C₂²⋊C₄	—	2	4	no	—
962	C₂²⋊C₄	—	2	2	no	—
963	C₂²⋊C₄	—	2	2	no	—
964	C₂²⋊C₄	—	4	2	no	—
965	C₂²⋊C₄	—	4	1	no	—
966	C₂²⋊C₄	—	4	1	no	—
967	C₂²⋊C₄	—	4	2	no	—
968	C₂²⋊C₄	—	4	2	no	—
969	C₂²⋊C₄	—	4	2	no	—
970	C₂²⋊C₄	—	4	2	no	—
971	C₂²⋊C₄	C₂×D₄×C₇₃	1	8	yes	—
972	C₄²	—	2	2	no	—
973	C₄²	—	2	4	no	—
974	C₄²	—	2	2	no	—
975	C₄²	—	2	2	no	—
976	C₄²	—	2	2	no	—
977	C₄²	—	4	1	no	—
978	C₄²	—	4	1	no	—
979	C₄²	—	4	2	no	—
980	C₂³	—	2	1	no	—
981	C₂³	—	2	1	no	—
982	C₂³	—	2	1	no	—
983	C₂³	—	2	1	no	—
984	C₂³	—	2	1	no	—
985	C₂³	—	2	1	no	—
986	C₂³	—	2	2	no	—
987	C₂³	—	2	2	no	—
988	C₂³	—	2	1	no	—
989	C₂³	—	2	2	no	—
990	C₂³	—	2	2	no	—
991	C₂³	—	2	1	no	—
992	C₂³	—	2	1	no	—
993	C₂³	—	2	2	no	—
994	C₂³	—	2	2	no	—
995	C₂³	—	2	1	no	—
996	C₂³	—	2	1	no	—
997	C₂³	—	2	1	no	—
998	C₂³	—	2	1	no	—
999	C₂³	—	2	1	no	—
1000	C₂³	—	2	1	no	—
1001	C₂³	—	2	1	no	—
1002	C₂³	—	2	1	no	—
1003	C₂³	C₂²×D₄×C₇₃	1	4	yes	—
1004	C₂³	C₂²×D₄×C₇₃	1	2	yes	—
1005	C₂³	C₂×#41×C₇₃	1	2	yes	—
1006	C₂³	C₂×#41×C₇₃	1	2	yes	—
1007	C₂³	H(5,𝔽₂)×C₇₃	1	2	yes	—
1008	C₂³	C₂⁵×C₇₃	1	1	yes	characteristic
1009	Q₈	—	2	8	no	—
1010	Q₈	—	4	8	no	—
1011	Q₈	—	4	8	no	—
1012	Q₈	—	4	4	no	—
1013	D₄	—	2	16	no	—
1014	D₄	—	2	8	no	—
1015	D₄	—	2	8	no	—
1016	D₄	—	4	8	no	—
1017	D₄	—	4	4	no	—
1018	D₄	—	4	8	no	—
1019	D₄	—	4	4	no	—
1020	C₂×C₄	—	2	1	no	—
1021	C₂×C₄	—	2	2	no	—
1022	C₂×C₄	—	2	1	no	—
1023	C₂×C₄	—	2	2	no	—
1024	C₂×C₄	—	2	1	no	—
1025	C₂×C₄	—	2	1	no	—
1026	C₂×C₄	—	2	1	no	—
1027	C₂×C₄	—	2	1	no	—
1028	C₂×C₄	—	2	1	no	—
1029	C₂×C₄	—	2	2	no	—
1030	C₂×C₄	—	2	1	no	—
1031	C₂×C₄	—	2	2	no	—
1032	C₂×C₄	—	2	8	no	—
1033	C₂×C₄	—	2	1	no	—
1034	C₂×C₄	—	2	1	no	—
1035	C₂×C₄	—	2	1	no	—
1036	C₂×C₄	—	2	1	no	—
1037	C₂×C₄	—	2	2	no	—
1038	C₂×C₄	—	2	1	no	—
1039	C₂×C₄	—	2	2	no	—
1040	C₂×C₄	—	2	2	no	—
1041	C₂×C₄	—	2	1	no	—
1042	C₂×C₄	—	2	2	no	—
1043	C₂×C₄	—	2	1	no	—
1044	C₂×C₄	—	2	1	no	—
1045	C₂×C₄	—	2	2	no	—
1046	C₂×C₄	—	2	1	no	—
1047	C₂×C₄	—	2	2	no	—
1048	C₂×C₄	—	2	2	no	—
1049	C₂×C₄	—	2	1	no	—
1050	C₂×C₄	—	2	1	no	—
1051	C₂×C₄	—	2	2	no	—
1052	C₂×C₄	—	2	2	no	—
1053	C₂×C₄	—	2	2	no	—
1054	C₂×C₄	—	2	1	no	—
1055	C₂×C₄	—	2	1	no	—
1056	C₂×C₄	—	2	1	no	—
1057	C₂×C₄	—	2	2	no	—
1058	C₂×C₄	—	2	2	no	—
1059	C₂×C₄	—	2	2	no	—
1060	C₂×C₄	—	2	1	no	—
1061	C₂×C₄	—	2	1	no	—
1062	C₂×C₄	—	2	1	no	—
1063	C₂×C₄	—	2	2	no	—
1064	C₂×C₄	—	2	1	no	—
1065	C₂×C₄	—	2	1	no	—
1066	C₂×C₄	—	2	1	no	—
1067	C₂×C₄	—	2	1	no	—
1068	C₂×C₄	—	2	2	no	—
1069	C₂×C₄	—	4	8	no	—
1070	C₂×C₄	—	4	8	no	—
1071	C₂×C₄	—	4	8	no	—
1072	C₂×C₄	—	4	8	no	—
1073	C₂×C₄	—	4	4	no	—
1074	C₂×C₄	—	4	4	no	—
1075	C₂×C₄	—	4	8	no	—
1076	C₂×C₄	—	4	4	no	—
1077	C₂×C₄	—	4	4	no	—
1078	C₂×C₄	—	8	4	no	—
1079	C₂×C₄	C₂²×D₄×C₇₃	1	4	yes	—
1080	C₂×C₄	C₂²×D₄×C₇₃	1	2	yes	—
1081	C₂×C₄	C₂²×D₄×C₇₃	1	2	yes	—
1082	C₂×C₄	C₂×#41×C₇₃	1	4	yes	—
1083	C₂×C₄	C₂×#41×C₇₃	1	2	yes	—
1084	C₂×C₄	C₂×#41×C₇₃	1	2	yes	—
1085	C₂×C₄	H(5,𝔽₂)×C₇₃	1	2	yes	—
1086	C₂×C₄	2₋¹⁺⁴×C₇₃	1	2	yes	—
1087	C₂×C₄	2₋¹⁺⁴×C₇₃	1	2	yes	—
1088	C₂²	—	2	2	no	—
1089	C₂²	—	2	2	no	—
1090	C₂²	—	2	2	no	—
1091	C₂²	—	2	2	no	—
1092	C₂²	—	2	2	no	—
1093	C₂²	—	2	2	no	—
1094	C₂²	—	2	2	no	—
1095	C₂²	—	2	4	no	—
1096	C₂²	—	2	4	no	—
1097	C₂²	—	2	2	no	—
1098	C₂²	—	2	4	no	—
1099	C₂²	—	2	2	no	—
1100	C₂²	—	4	1	no	—
1101	C₂²	—	4	2	no	—
1102	C₂²	—	4	1	no	—
1103	C₂²	—	4	2	no	—
1104	C₂²	—	4	1	no	—
1105	C₂²	—	4	2	no	—
1106	C₂²	—	4	2	no	—
1107	C₂²	—	4	1	no	—
1108	C₂²	—	4	1	no	—
1109	C₂²	—	4	1	no	—
1110	C₂²	—	4	1	no	—
1111	C₂²	—	4	1	no	—
1112	C₂²	—	4	1	no	—
1113	C₂²	—	4	1	no	—
1114	C₂²	—	4	1	no	—
1115	C₂²	#546×C₇₃	1	4	yes	—
1116	C₂²	C₂³×D₄×C₇₃	1	1	yes	characteristic
1117	C₂²	C₂²×#41×C₇₃	1	1	yes	characteristic
1118	C₂²	C₂²×#41×C₇₃	1	1	yes	characteristic
1119	C₂²	C₂×H(5,𝔽₂)×C₇₃	1	1	yes	characteristic
1120	C₂²	C₂×H(5,𝔽₂)×C₇₃	1	1	yes	characteristic
1121	C₂²	C₂×2₋¹⁺⁴×C₇₃	1	1	yes	characteristic
1122	C₂²	C₂×2₋¹⁺⁴×C₇₃	1	1	yes	characteristic
1123	C₄	—	2	2	no	—
1124	C₄	—	2	2	no	—
1125	C₄	—	2	4	no	—
1126	C₄	—	2	4	no	—
1127	C₄	—	2	2	no	—
1128	C₄	—	2	2	no	—
1129	C₄	—	4	2	no	—
1130	C₄	—	4	1	no	—
1131	C₄	—	4	2	no	—
1132	C₄	—	4	2	no	—
1133	C₄	—	4	1	no	—
1134	C₄	—	4	1	no	—
1135	C₄	—	4	1	no	—
1136	C₄	—	4	1	no	—
1137	C₄	—	4	1	no	—
1138	C₄	—	4	2	no	—
1139	C₄	—	4	1	no	—
1140	C₄	—	4	2	no	—
1141	C₄	#546×C₇₃	1	4	yes	—
1142	C₂	—	2	4	no	—
1143	C₂	—	4	2	no	—
1144	C₂	—	4	4	no	—
1145	C₂	—	8	1	no	—
1146	C₂	C₂×#546×C₇₃	1	1	yes	characteristic
1147	C₂	C₂×#546×C₇₃	1	1	yes	characteristic
1148	C₂	C₇₃×#3482	1	1	yes	characteristic
1149	C₂	C₇₃×#3499	1	1	yes	characteristic
1150	C₂	C₇₃×#3520	1	1	yes	characteristic
1151	C₂	C₇₃×#3522	1	1	yes	characteristic
1152	C₂	C₇₃×#3536	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂³×C₇₃	C₂⁵
commutator, Frattini, cosocle	C₂³	C₂⁵×C₇₃
LCS	G ▷ C₂³ ▷ C₁
UCS	C₁ ◁ C₂³×C₇₃ ◁ G

Complements

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

N	H ≅ G/N	type
1. C₂×#548×C₇₃	C₂	semidirect
2. C₂×#547×C₇₃	C₂	semidirect
3. C₇₃×#2700	C₂	semidirect
4. C₇₃×#2687	C₂	semidirect
5. C₇₃×#2557	C₂	semidirect
6. C₇₃×#2549	C₂	semidirect
7. C₇₃×#2492	C₂	semidirect
8. C₇₃×#2486	C₂	semidirect
9. C₇₃×#2451	C₂	semidirect
10. C₇₃×#2447	C₂	semidirect
11. C₇₃×#2430	C₂	semidirect
12. C₇₃×#2427	C₂	semidirect
13. C₇₃×#2425	C₂	semidirect
14. C₇₃×#2419	C₂	semidirect
15. C₇₃×#2417	C₂	semidirect
16. C₇₃×#2409	C₂	semidirect
17. C₇₃×#2407	C₂	semidirect
18. C₇₃×#2360	C₂	semidirect
19. C₇₃×#2339	C₂	semidirect
20. C₇₃×#2339	C₂	semidirect
21. C₄×#121×C₇₃	C₂	semidirect
22. C₄×#121×C₇₃	C₂	semidirect
23. C₂×#391×C₇₃	C₂	semidirect
170. #121×C₇₃	D₄	semidirect
277. C₂×Q₈×C₇₃	#41	semidirect
298. C₂×D₄×C₇₃	#41	semidirect
565. #59409	C₇₃	direct (N × H)
577. C₂×#548	C₂×C₇₃	semidirect
578. C₂×#547	C₂×C₇₃	semidirect
579. #2700	C₂×C₇₃	semidirect
580. #2687	C₂×C₇₃	semidirect
581. #2557	C₂×C₇₃	semidirect
582. #2549	C₂×C₇₃	semidirect
583. #2492	C₂×C₇₃	semidirect
584. #2486	C₂×C₇₃	semidirect
585. #2451	C₂×C₇₃	semidirect
586. #2447	C₂×C₇₃	semidirect
587. #2430	C₂×C₇₃	semidirect
588. #2427	C₂×C₇₃	semidirect
589. #2425	C₂×C₇₃	semidirect
590. #2419	C₂×C₇₃	semidirect
591. #2417	C₂×C₇₃	semidirect
592. #2409	C₂×C₇₃	semidirect
593. #2407	C₂×C₇₃	semidirect
594. #2360	C₂×C₇₃	semidirect
595. #2339	C₂×C₇₃	semidirect
596. #2339	C₂×C₇₃	semidirect
597. C₄×#121	C₂×C₇₃	semidirect
598. C₄×#121	C₂×C₇₃	semidirect
599. C₂×#391	C₂×C₇₃	semidirect
600. C₇₃	#59409	direct (N × H)
747. #121	D₄×C₇₃	semidirect
854. C₂×Q₈	#41×C₇₃	semidirect
875. C₂×D₄	#41×C₇₃	semidirect

Maximal subgroups

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

subgroup	index
C₂×#548×C₇₃	2
C₂×#547×C₇₃	2
C₇₃×#2700	2
C₇₃×#2687	2
C₇₃×#2557	2
C₇₃×#2549	2
C₇₃×#2492	2
C₇₃×#2486	2
C₇₃×#2451	2
C₇₃×#2447	2
C₇₃×#2430	2
C₇₃×#2427	2
C₇₃×#2425	2
C₇₃×#2419	2
C₇₃×#2417	2
C₇₃×#2409	2
C₇₃×#2407	2
C₇₃×#2360	2
C₇₃×#2339	2
C₄×#121×C₇₃	2
C₂×#391×C₇₃	2
#59409	73

Subgroups — C73×#59409 #32968813

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₇₃×#59409 #32968813