Subgroups — C₇₃×#59416 #32968820

Order 18688.

2554 conjugacy classes of subgroups.

The subgroup lattice has 1142 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×#556×C₇₃	C₂	1	1	yes	maximal, characteristic, complemented
2	C₂×#546×C₇₃	C₂	1	1	yes	maximal, characteristic
3	C₇₃×#2687	C₂	1	2	yes	maximal, complemented
4	C₇₃×#2685	C₂	1	2	yes	maximal, complemented
5	C₇₃×#2580	C₂	1	1	yes	maximal, characteristic, complemented
6	C₇₃×#2559	C₂	1	2	yes	maximal, complemented
7	C₇₃×#2553	C₂	1	2	yes	maximal, complemented
8	C₇₃×#2536	C₂	1	1	yes	maximal, characteristic, complemented
9	C₇₃×#2480	C₂	1	2	yes	maximal, complemented
10	C₇₃×#2476	C₂	1	2	yes	maximal, complemented
11	C₇₃×#2472	C₂	1	2	yes	maximal, complemented
12	C₇₃×#2435	C₂	1	1	yes	maximal, characteristic, complemented
13	C₇₃×#2432	C₂	1	1	yes	maximal, characteristic, complemented
14	C₇₃×#2429	C₂	1	1	yes	maximal, characteristic, complemented
15	C₇₃×#2427	C₂	1	1	yes	maximal, characteristic, complemented
16	C₇₃×#2421	C₂	1	1	yes	maximal, characteristic, complemented
17	C₇₃×#2420	C₂	1	1	yes	maximal, characteristic, complemented
18	C₇₃×#2342	C₂	1	2	yes	maximal, complemented
19	C₇₃×#2341	C₂	1	1	yes	maximal, characteristic, complemented
20	D₄×C₂²⋊C₄×C₇₃	C₂	1	1	yes	maximal, characteristic, complemented
21	C₄×#124×C₇₃	C₂	1	1	yes	maximal, characteristic, complemented
22	C₄×#124×C₇₃	C₂	1	1	yes	maximal, characteristic, complemented
23	C₄×#124×C₇₃	C₂	1	1	yes	maximal, characteristic, complemented
24	C₂²×#41×C₇₃	C₂²	1	1	yes	characteristic
25	C₂³×D₄×C₇₃	C₂²	1	1	yes	characteristic
26	#556×C₇₃	—	2	8	no	—
27	#546×C₇₃	—	2	8	no	—
28	C₂×C₄⋊Q₈×C₇₃	C₂²	1	1	yes	characteristic, complemented
29	C₂×#126×C₇₃	C₂²	1	2	yes	complemented
30	C₂×#126×C₇₃	C₂²	1	2	yes	complemented
31	C₂×#124×C₇₃	C₂²	1	1	yes	characteristic
32	C₂×#124×C₇₃	C₂²	1	1	yes	characteristic
33	C₂×#124×C₇₃	C₂²	1	1	yes	characteristic
34	C₂×#124×C₇₃	C₂²	1	1	yes	characteristic
35	C₂×#123×C₇₃	C₂²	1	2	yes	—
36	C₂×C₂²⋊Q₈×C₇₃	C₂²	1	1	yes	characteristic
37	C₂×C₂²⋊Q₈×C₇₃	C₂²	1	1	yes	characteristic
38	C₂×C₂²⋊Q₈×C₇₃	C₂²	1	2	yes	complemented
39	C₂×C₂²⋊Q₈×C₇₃	C₂²	1	1	yes	characteristic, complemented
40	C₂×#121×C₇₃	C₂²	1	2	yes	—
41	C₂×#121×C₇₃	C₂²	1	1	yes	characteristic
42	C₂×#120×C₇₃	C₂²	1	2	yes	—
43	C₂×C₄×Q₈×C₇₃	C₂²	1	1	yes	characteristic, complemented
44	C₂×C₄×Q₈×C₇₃	C₂²	1	1	yes	characteristic, complemented
45	C₂×C₄×Q₈×C₇₃	C₂²	1	1	yes	characteristic, complemented
46	C₂×C₄×Q₈×C₇₃	C₂²	1	1	yes	characteristic, complemented
47	C₂×C₄×D₄×C₇₃	C₂²	1	1	yes	characteristic
48	C₂×C₄×D₄×C₇₃	C₂²	1	1	yes	characteristic
49	C₂×C₄×D₄×C₇₃	C₂²	1	1	yes	characteristic
50	C₂×C₄×D₄×C₇₃	C₂²	1	1	yes	characteristic
51	C₂×#117×C₇₃	C₂²	1	2	yes	complemented
52	C₂²×C₂²⋊C₄×C₇₃	C₂²	1	2	yes	—
53	C₂²×C₂²⋊C₄×C₇₃	C₂²	1	2	yes	—
54	#400×C₇₃	C₂²	1	2	yes	complemented
55	#399×C₇₃	C₂²	1	2	yes	complemented
56	#398×C₇₃	C₂²	1	2	yes	complemented
57	#398×C₇₃	C₂²	1	2	yes	complemented
58	#397×C₇₃	C₂²	1	2	yes	—
59	#397×C₇₃	C₂²	1	2	yes	complemented
60	#397×C₇₃	C₂²	1	2	yes	complemented
61	#396×C₇₃	C₂²	1	2	yes	—
62	#394×C₇₃	C₂²	1	2	yes	—
63	#394×C₇₃	C₂²	1	2	yes	—
64	#394×C₇₃	C₂²	1	2	yes	—
65	#394×C₇₃	C₂²	1	2	yes	complemented
66	#394×C₇₃	C₂²	1	2	yes	complemented
67	#394×C₇₃	C₂²	1	2	yes	complemented
68	#394×C₇₃	C₂²	1	2	yes	complemented
69	#393×C₇₃	C₂²	1	2	yes	complemented
70	#391×C₇₃	C₂²	1	1	yes	characteristic, complemented
71	#391×C₇₃	C₂²	1	1	yes	characteristic, complemented
72	#391×C₇₃	C₂²	1	1	yes	characteristic, complemented
73	#390×C₇₃	C₂²	1	1	yes	characteristic
74	#390×C₇₃	C₂²	1	1	yes	characteristic
75	#390×C₇₃	C₂²	1	1	yes	characteristic
76	#390×C₇₃	C₂²	1	1	yes	characteristic
77	#390×C₇₃	C₂²	1	1	yes	characteristic
78	#390×C₇₃	C₂²	1	2	yes	complemented
79	#390×C₇₃	C₂²	1	2	yes	complemented
80	#389×C₇₃	C₂²	1	2	yes	complemented
81	#389×C₇₃	C₂²	1	1	yes	characteristic, complemented
82	#389×C₇₃	C₂²	1	1	yes	characteristic, complemented
83	#388×C₇₃	C₂²	1	2	yes	—
84	#388×C₇₃	C₂²	1	1	yes	characteristic
85	#388×C₇₃	C₂²	1	2	yes	—
86	#388×C₇₃	C₂²	1	1	yes	characteristic
87	#388×C₇₃	C₂²	1	2	yes	—
88	#388×C₇₃	C₂²	1	2	yes	complemented
89	#388×C₇₃	C₂²	1	1	yes	characteristic, complemented
90	#388×C₇₃	C₂²	1	2	yes	complemented
91	#388×C₇₃	C₂²	1	2	yes	complemented
92	#388×C₇₃	C₂²	1	1	yes	characteristic, complemented
93	#388×C₇₃	C₂²	1	2	yes	complemented
94	#388×C₇₃	C₂²	1	2	yes	complemented
95	#387×C₇₃	C₂²	1	2	yes	complemented
96	#386×C₇₃	C₂²	1	2	yes	—
97	#386×C₇₃	C₂²	1	2	yes	—
98	#386×C₇₃	C₂²	1	2	yes	complemented
99	#386×C₇₃	C₂²	1	2	yes	complemented
100	#385×C₇₃	C₂²	1	2	yes	complemented
101	#385×C₇₃	C₂²	1	2	yes	complemented
102	#385×C₇₃	C₂²	1	2	yes	complemented
103	#385×C₇₃	C₂²	1	2	yes	complemented
104	#382×C₇₃	C₂²	1	1	yes	characteristic, complemented
105	#382×C₇₃	C₂²	1	1	yes	characteristic, complemented
106	#382×C₇₃	C₂²	1	1	yes	characteristic, complemented
107	#381×C₇₃	C₂²	1	2	yes	complemented
108	#380×C₇₃	C₂²	1	1	yes	characteristic
109	#380×C₇₃	C₂²	1	2	yes	complemented
110	#380×C₇₃	C₂²	1	1	yes	characteristic, complemented
111	#380×C₇₃	C₂²	1	2	yes	complemented
112	#379×C₇₃	C₂²	1	2	yes	—
113	#379×C₇₃	C₂²	1	2	yes	—
114	#379×C₇₃	C₂²	1	2	yes	—
115	C₄×C₂²⋊C₄×C₇₃	C₂²	1	1	yes	characteristic
116	C₄×C₂²⋊C₄×C₇₃	C₂²	1	1	yes	characteristic
117	C₄×C₂²⋊C₄×C₇₃	C₂²	1	2	yes	complemented
118	C₄×C₂²⋊C₄×C₇₃	C₂²	1	2	yes	complemented
119	C₄×C₂²⋊C₄×C₇₃	C₂²	1	2	yes	complemented
120	C₄×C₂²⋊C₄×C₇₃	C₂²	1	2	yes	complemented
121	C₄×C₂²⋊C₄×C₇₃	C₂²	1	2	yes	complemented
122	C₄×C₂²⋊C₄×C₇₃	C₂²	1	1	yes	characteristic, complemented
123	C₄×C₂²⋊C₄×C₇₃	C₂²	1	1	yes	characteristic, complemented
124	C₄³×C₇₃	C₂²	1	1	yes	characteristic, complemented
125	C₂⁵×C₇₃	C₂³	1	2	yes	—
126	C₂×#41×C₇₃	—	2	4	no	—
127	C₂×#41×C₇₃	—	2	4	no	—
128	C₂×#41×C₇₃	—	4	2	no	—
129	C₂²×Q₈×C₇₃	C₂³	1	1	yes	characteristic
130	C₂²×Q₈×C₇₃	C₂³	1	1	yes	characteristic
131	C₂²×Q₈×C₇₃	C₂³	1	1	yes	characteristic
132	C₂²×D₄×C₇₃	—	2	4	no	—
133	C₂²×D₄×C₇₃	—	2	4	no	—
134	C₂²×D₄×C₇₃	—	4	2	no	—
135	C₂²×D₄×C₇₃	C₂³	1	2	yes	—
136	C₂²×D₄×C₇₃	C₂³	1	1	yes	characteristic
137	C₂²×D₄×C₇₃	C₂³	1	2	yes	—
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	C₂³×C₄×C₇₃	C₂³	1	1	yes	characteristic
142	C₂³×C₄×C₇₃	C₂³	1	1	yes	characteristic
143	C₂³×C₄×C₇₃	C₂³	1	2	yes	—
144	C₂³×C₄×C₇₃	C₂³	1	2	yes	—
145	C₂³×C₄×C₇₃	C₂³	1	2	yes	—
146	C₂³×C₄×C₇₃	C₂³	1	2	yes	—
147	C₄⋊Q₈×C₇₃	—	2	4	no	—
148	#126×C₇₃	—	2	8	no	—
149	#126×C₇₃	—	2	8	no	—
150	#124×C₇₃	—	2	4	no	—
151	#124×C₇₃	—	2	4	no	—
152	#124×C₇₃	—	2	4	no	—
153	#124×C₇₃	D₄	1	8	yes	—
154	#123×C₇₃	—	2	8	no	—
155	C₂²⋊Q₈×C₇₃	—	2	4	no	—
156	C₂²⋊Q₈×C₇₃	—	2	8	no	—
157	C₂²⋊Q₈×C₇₃	—	4	2	no	—
158	C₂²⋊Q₈×C₇₃	—	4	2	no	—
159	#121×C₇₃	—	2	4	no	—
160	#121×C₇₃	—	2	8	no	—
161	#120×C₇₃	—	2	8	no	—
162	C₄×Q₈×C₇₃	—	2	4	no	—
163	C₄×Q₈×C₇₃	—	2	4	no	—
164	C₄×Q₈×C₇₃	—	2	4	no	—
165	C₄×Q₈×C₇₃	—	4	2	no	—
166	C₄×D₄×C₇₃	—	2	4	no	—
167	C₄×D₄×C₇₃	—	2	4	no	—
168	C₄×D₄×C₇₃	—	2	4	no	—
169	C₄×D₄×C₇₃	—	4	2	no	—
170	#117×C₇₃	—	2	8	no	—
171	C₂×C₄⋊C₄×C₇₃	C₂³	1	1	yes	characteristic
172	C₂×C₄⋊C₄×C₇₃	C₂³	1	1	yes	characteristic
173	C₂×C₄⋊C₄×C₇₃	C₂³	1	1	yes	characteristic
174	C₂×C₄⋊C₄×C₇₃	C₂³	1	2	yes	—
175	C₂×C₄⋊C₄×C₇₃	C₂³	1	1	yes	characteristic
176	C₂×C₄⋊C₄×C₇₃	C₂³	1	1	yes	characteristic
177	C₂×C₄⋊C₄×C₇₃	C₂³	1	1	yes	characteristic
178	C₂×C₄⋊C₄×C₇₃	C₂³	1	1	yes	characteristic
179	C₂×C₄⋊C₄×C₇₃	C₂³	1	1	yes	characteristic
180	C₂×C₄⋊C₄×C₇₃	C₂³	1	2	yes	—
181	C₂×C₄⋊C₄×C₇₃	C₂³	1	2	yes	—
182	C₂×C₄⋊C₄×C₇₃	C₂³	1	2	yes	—
183	C₂×C₄⋊C₄×C₇₃	C₂³	1	2	yes	—
184	C₂×C₄⋊C₄×C₇₃	C₂³	1	2	yes	—
185	C₂×C₄⋊C₄×C₇₃	C₂³	1	2	yes	—
186	C₂×C₄⋊C₄×C₇₃	C₂³	1	2	yes	—
187	C₂×C₄⋊C₄×C₇₃	C₂³	1	2	yes	—
188	C₂×C₄⋊C₄×C₇₃	C₂³	1	2	yes	—
189	C₂×C₂²⋊C₄×C₇₃	—	2	8	no	—
190	C₂×C₂²⋊C₄×C₇₃	—	2	8	no	—
191	C₂×C₂²⋊C₄×C₇₃	C₂³	1	1	yes	characteristic
192	C₂×C₂²⋊C₄×C₇₃	C₂³	1	2	yes	—
193	C₂×C₂²⋊C₄×C₇₃	C₂³	1	2	yes	—
194	C₂×C₂²⋊C₄×C₇₃	C₂³	1	2	yes	—
195	C₂×C₂²⋊C₄×C₇₃	C₂³	1	1	yes	characteristic
196	C₂×C₂²⋊C₄×C₇₃	C₂³	1	1	yes	characteristic
197	C₂×C₂²⋊C₄×C₇₃	C₂³	1	2	yes	—
198	C₂×C₂²⋊C₄×C₇₃	C₂³	1	2	yes	—
199	C₂×C₂²⋊C₄×C₇₃	C₂³	1	2	yes	—
200	C₂×C₂²⋊C₄×C₇₃	C₂³	1	2	yes	—
201	C₂×C₂²⋊C₄×C₇₃	C₂³	1	2	yes	—
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	2	yes	—
207	C₂×C₂²⋊C₄×C₇₃	C₂³	1	1	yes	characteristic
208	C₂×C₂²⋊C₄×C₇₃	C₂³	1	1	yes	characteristic
209	C₂×C₂²⋊C₄×C₇₃	C₂³	1	2	yes	—
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	1	yes	characteristic
214	C₂×C₂²⋊C₄×C₇₃	C₂³	1	1	yes	characteristic
215	C₂×C₂²⋊C₄×C₇₃	C₂³	1	2	yes	—
216	C₂×C₂²⋊C₄×C₇₃	C₂³	1	2	yes	—
217	C₂×C₂²⋊C₄×C₇₃	C₂³	1	2	yes	—
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×C₄²×C₇₃	C₂³	1	1	yes	characteristic
225	C₂×C₄²×C₇₃	C₂³	1	1	yes	characteristic
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	2	yes	—
231	C₂×C₄²×C₇₃	C₂³	1	1	yes	characteristic
232	C₂×C₄²×C₇₃	C₂³	1	2	yes	—
233	C₂×C₄²×C₇₃	C₂³	1	1	yes	characteristic
234	C₂×C₄²×C₇₃	C₂³	1	1	yes	characteristic
235	C₂×C₄²×C₇₃	C₂³	1	1	yes	characteristic
236	#95×C₇₃	C₂³	1	1	yes	characteristic
237	#95×C₇₃	C₂³	1	1	yes	characteristic
238	#95×C₇₃	C₂³	1	1	yes	characteristic
239	#95×C₇₃	C₂³	1	1	yes	characteristic
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	1	yes	characteristic
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	C₂⁴×C₇₃	—	2	4	no	—
257	C₂⁴×C₇₃	—	2	4	no	—
258	C₂⁴×C₇₃	—	2	4	no	—
259	C₂⁴×C₇₃	—	4	2	no	—
260	C₂⁴×C₇₃	—	4	2	no	—
261	C₂⁴×C₇₃	—	4	2	no	—
262	C₂⁴×C₇₃	—	4	2	no	—
263	C₂⁴×C₇₃	C₂⁴	1	1	yes	characteristic
264	C₂⁴×C₇₃	C₂⁴	1	2	yes	—
265	C₂⁴×C₇₃	C₂⁴	1	1	yes	characteristic
266	C₂⁴×C₇₃	C₂⁴	1	2	yes	—
267	#41×C₇₃	—	4	16	no	—
268	C₂×Q₈×C₇₃	—	2	2	no	—
269	C₂×Q₈×C₇₃	—	2	2	no	—
270	C₂×Q₈×C₇₃	—	2	2	no	—
271	C₂×Q₈×C₇₃	—	2	2	no	—
272	C₂×Q₈×C₇₃	—	2	2	no	—
273	C₂×Q₈×C₇₃	—	2	2	no	—
274	C₂×Q₈×C₇₃	—	2	2	no	—
275	C₂×Q₈×C₇₃	—	4	1	no	—
276	C₂×Q₈×C₇₃	C₂×D₄	1	4	yes	—
277	C₂×D₄×C₇₃	—	2	4	no	—
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	4	no	—
282	C₂×D₄×C₇₃	—	2	2	no	—
283	C₂×D₄×C₇₃	—	2	2	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	2	no	—
288	C₂×D₄×C₇₃	—	4	2	no	—
289	C₂×D₄×C₇₃	—	4	1	no	—
290	C₂×D₄×C₇₃	—	4	2	no	—
291	C₂×D₄×C₇₃	—	4	2	no	—
292	C₂×D₄×C₇₃	—	4	2	no	—
293	C₂×D₄×C₇₃	—	4	16	no	—
294	C₂×D₄×C₇₃	C₂×D₄	1	4	yes	—
295	C₂×D₄×C₇₃	#41	1	4	yes	—
296	C₂²×C₄×C₇₃	—	2	4	no	—
297	C₂²×C₄×C₇₃	—	2	4	no	—
298	C₂²×C₄×C₇₃	—	2	4	no	—
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	2	no	—
303	C₂²×C₄×C₇₃	—	2	2	no	—
304	C₂²×C₄×C₇₃	—	2	2	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	—	4	2	no	—
309	C₂²×C₄×C₇₃	—	4	2	no	—
310	C₂²×C₄×C₇₃	—	4	2	no	—
311	C₂²×C₄×C₇₃	—	4	2	no	—
312	C₂²×C₄×C₇₃	—	4	2	no	—
313	C₂²×C₄×C₇₃	—	4	2	no	—
314	C₂²×C₄×C₇₃	C₂⁴	1	1	yes	characteristic
315	C₂²×C₄×C₇₃	C₂⁴	1	1	yes	characteristic
316	C₂²×C₄×C₇₃	C₂⁴	1	2	yes	—
317	C₂²×C₄×C₇₃	C₂⁴	1	2	yes	—
318	C₂²×C₄×C₇₃	C₂⁴	1	1	yes	characteristic
319	C₂²×C₄×C₇₃	C₂⁴	1	1	yes	characteristic
320	C₂²×C₄×C₇₃	C₂⁴	1	1	yes	characteristic
321	C₂²×C₄×C₇₃	C₂⁴	1	2	yes	—
322	C₂²×C₄×C₇₃	C₂⁴	1	2	yes	—
323	C₂²×C₄×C₇₃	C₂⁴	1	1	yes	characteristic
324	C₂²×C₄×C₇₃	C₂⁴	1	1	yes	characteristic
325	C₂²×C₄×C₇₃	C₂⁴	1	1	yes	characteristic
326	C₂²×C₄×C₇₃	C₂⁴	1	2	yes	—
327	C₂²×C₄×C₇₃	C₂⁴	1	1	yes	characteristic
328	C₂²×C₄×C₇₃	C₂⁴	1	1	yes	characteristic
329	C₂²×C₄×C₇₃	C₂⁴	1	2	yes	—
330	C₂²×C₄×C₇₃	C₂⁴	1	1	yes	characteristic
331	C₂²×C₄×C₇₃	C₂⁴	1	1	yes	characteristic
332	C₂²×C₄×C₇₃	C₂⁴	1	1	yes	characteristic
333	C₄⋊C₄×C₇₃	—	2	2	no	—
334	C₄⋊C₄×C₇₃	—	2	4	no	—
335	C₄⋊C₄×C₇₃	—	2	2	no	—
336	C₄⋊C₄×C₇₃	—	2	2	no	—
337	C₄⋊C₄×C₇₃	—	2	2	no	—
338	C₄⋊C₄×C₇₃	—	2	4	no	—
339	C₄⋊C₄×C₇₃	—	2	4	no	—
340	C₄⋊C₄×C₇₃	—	2	2	no	—
341	C₄⋊C₄×C₇₃	—	2	2	no	—
342	C₄⋊C₄×C₇₃	—	2	4	no	—
343	C₄⋊C₄×C₇₃	—	2	4	no	—
344	C₄⋊C₄×C₇₃	—	2	2	no	—
345	C₄⋊C₄×C₇₃	—	2	2	no	—
346	C₄⋊C₄×C₇₃	—	4	2	no	—
347	C₄⋊C₄×C₇₃	—	4	2	no	—
348	C₄⋊C₄×C₇₃	—	4	2	no	—
349	C₄⋊C₄×C₇₃	—	4	2	no	—
350	C₄⋊C₄×C₇₃	—	4	2	no	—
351	C₂²⋊C₄×C₇₃	—	2	4	no	—
352	C₂²⋊C₄×C₇₃	—	2	4	no	—
353	C₂²⋊C₄×C₇₃	—	2	4	no	—
354	C₂²⋊C₄×C₇₃	—	2	4	no	—
355	C₂²⋊C₄×C₇₃	—	2	4	no	—
356	C₂²⋊C₄×C₇₃	—	2	2	no	—
357	C₂²⋊C₄×C₇₃	—	2	4	no	—
358	C₂²⋊C₄×C₇₃	—	2	4	no	—
359	C₂²⋊C₄×C₇₃	—	2	2	no	—
360	C₂²⋊C₄×C₇₃	—	2	4	no	—
361	C₂²⋊C₄×C₇₃	—	2	4	no	—
362	C₂²⋊C₄×C₇₃	—	2	2	no	—
363	C₂²⋊C₄×C₇₃	—	2	4	no	—
364	C₂²⋊C₄×C₇₃	—	2	4	no	—
365	C₂²⋊C₄×C₇₃	—	2	2	no	—
366	C₂²⋊C₄×C₇₃	—	2	2	no	—
367	C₂²⋊C₄×C₇₃	—	4	2	no	—
368	C₂²⋊C₄×C₇₃	—	4	1	no	—
369	C₂²⋊C₄×C₇₃	—	4	1	no	—
370	C₂²⋊C₄×C₇₃	—	4	2	no	—
371	C₂²⋊C₄×C₇₃	—	4	2	no	—
372	C₂²⋊C₄×C₇₃	—	4	1	no	—
373	C₂²⋊C₄×C₇₃	—	4	1	no	—
374	C₂²⋊C₄×C₇₃	—	4	2	no	—
375	C₂²⋊C₄×C₇₃	—	4	2	no	—
376	C₂²⋊C₄×C₇₃	—	4	2	no	—
377	C₂²⋊C₄×C₇₃	—	4	2	no	—
378	C₂²⋊C₄×C₇₃	—	4	2	no	—
379	C₂²⋊C₄×C₇₃	—	4	2	no	—
380	C₂²⋊C₄×C₇₃	—	4	2	no	—
381	C₂²⋊C₄×C₇₃	C₂×D₄	1	8	yes	—
382	C₂²⋊C₄×C₇₃	C₂×D₄	1	8	yes	—
383	C₂²⋊C₄×C₇₃	#41	1	4	yes	complemented
384	C₄²×C₇₃	—	2	4	no	—
385	C₄²×C₇₃	—	2	4	no	—
386	C₄²×C₇₃	—	2	2	no	—
387	C₄²×C₇₃	—	2	2	no	—
388	C₄²×C₇₃	—	2	2	no	—
389	C₄²×C₇₃	—	2	2	no	—
390	C₄²×C₇₃	—	2	2	no	—
391	C₄²×C₇₃	—	4	1	no	—
392	C₄²×C₇₃	—	4	1	no	—
393	C₄²×C₇₃	—	4	1	no	—
394	C₄²×C₇₃	—	4	2	no	—
395	C₄²×C₇₃	C₂×D₄	1	4	yes	—
396	C₂³×C₇₃	—	2	1	no	—
397	C₂³×C₇₃	—	2	2	no	—
398	C₂³×C₇₃	—	2	2	no	—
399	C₂³×C₇₃	—	2	2	no	—
400	C₂³×C₇₃	—	2	1	no	—
401	C₂³×C₇₃	—	2	2	no	—
402	C₂³×C₇₃	—	2	1	no	—
403	C₂³×C₇₃	—	2	2	no	—
404	C₂³×C₇₃	—	2	2	no	—
405	C₂³×C₇₃	—	2	2	no	—
406	C₂³×C₇₃	—	2	2	no	—
407	C₂³×C₇₃	—	2	2	no	—
408	C₂³×C₇₃	—	2	2	no	—
409	C₂³×C₇₃	—	2	2	no	—
410	C₂³×C₇₃	—	2	1	no	—
411	C₂³×C₇₃	—	2	1	no	—
412	C₂³×C₇₃	—	2	2	no	—
413	C₂³×C₇₃	—	2	1	no	—
414	C₂³×C₇₃	—	2	1	no	—
415	C₂³×C₇₃	—	2	1	no	—
416	C₂³×C₇₃	—	2	1	no	—
417	C₂³×C₇₃	—	2	1	no	—
418	C₂³×C₇₃	—	2	1	no	—
419	C₂³×C₇₃	—	2	1	no	—
420	C₂³×C₇₃	—	2	1	no	—
421	C₂³×C₇₃	—	4	8	no	—
422	C₂³×C₇₃	—	4	8	no	—
423	C₂³×C₇₃	—	4	8	no	—
424	C₂³×C₇₃	—	8	4	no	—
425	C₂³×C₇₃	—	8	4	no	—
426	C₂³×C₇₃	—	8	4	no	—
427	C₂³×C₇₃	—	8	4	no	—
428	C₂³×C₇₃	C₂²×D₄	1	4	yes	—
429	C₂³×C₇₃	C₂×#41	1	2	yes	—
430	C₂³×C₇₃	C₂×#41	1	4	yes	—
431	C₂³×C₇₃	C₂⁵	1	1	yes	characteristic
432	Q₈×C₇₃	—	2	8	no	—
433	Q₈×C₇₃	—	4	4	no	—
434	Q₈×C₇₃	—	4	4	no	—
435	D₄×C₇₃	—	2	8	no	—
436	D₄×C₇₃	—	2	8	no	—
437	D₄×C₇₃	—	4	4	no	—
438	D₄×C₇₃	—	4	8	no	—
439	D₄×C₇₃	—	4	8	no	—
440	D₄×C₇₃	—	8	4	no	—
441	C₂×C₄×C₇₃	—	2	1	no	—
442	C₂×C₄×C₇₃	—	2	1	no	—
443	C₂×C₄×C₇₃	—	2	2	no	—
444	C₂×C₄×C₇₃	—	2	1	no	—
445	C₂×C₄×C₇₃	—	2	2	no	—
446	C₂×C₄×C₇₃	—	2	1	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	1	no	—
456	C₂×C₄×C₇₃	—	2	2	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	1	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	2	no	—
465	C₂×C₄×C₇₃	—	2	1	no	—
466	C₂×C₄×C₇₃	—	2	1	no	—
467	C₂×C₄×C₇₃	—	2	1	no	—
468	C₂×C₄×C₇₃	—	2	1	no	—
469	C₂×C₄×C₇₃	—	2	2	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	1	no	—
475	C₂×C₄×C₇₃	—	2	1	no	—
476	C₂×C₄×C₇₃	—	2	1	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	1	no	—
481	C₂×C₄×C₇₃	—	2	2	no	—
482	C₂×C₄×C₇₃	—	2	2	no	—
483	C₂×C₄×C₇₃	—	2	2	no	—
484	C₂×C₄×C₇₃	—	2	1	no	—
485	C₂×C₄×C₇₃	—	2	1	no	—
486	C₂×C₄×C₇₃	—	2	1	no	—
487	C₂×C₄×C₇₃	—	2	2	no	—
488	C₂×C₄×C₇₃	—	2	2	no	—
489	C₂×C₄×C₇₃	—	2	2	no	—
490	C₂×C₄×C₇₃	—	4	8	no	—
491	C₂×C₄×C₇₃	—	4	8	no	—
492	C₂×C₄×C₇₃	—	4	4	no	—
493	C₂×C₄×C₇₃	—	4	4	no	—
494	C₂×C₄×C₇₃	—	8	4	no	—
495	C₂×C₄×C₇₃	—	8	4	no	—
496	C₂×C₄×C₇₃	C₂²×D₄	1	2	yes	—
497	C₂×C₄×C₇₃	C₂²×D₄	1	4	yes	—
498	C₂×C₄×C₇₃	C₂²×D₄	1	2	yes	—
499	C₂×C₄×C₇₃	C₂²×D₄	1	2	yes	—
500	C₂×C₄×C₇₃	C₂×#41	1	2	yes	—
501	C₂×C₄×C₇₃	C₂×#41	1	2	yes	—
502	C₂×C₄×C₇₃	C₂×#41	1	2	yes	—
503	C₂×C₄×C₇₃	H(5,𝔽₂)	1	2	yes	—
504	C₂²×C₇₃	—	2	4	no	—
505	C₂²×C₇₃	—	2	4	no	—
506	C₂²×C₇₃	—	2	4	no	—
507	C₂²×C₇₃	—	2	2	no	—
508	C₂²×C₇₃	—	2	2	no	—
509	C₂²×C₇₃	—	2	4	no	—
510	C₂²×C₇₃	—	2	4	no	—
511	C₂²×C₇₃	—	2	2	no	—
512	C₂²×C₇₃	—	2	4	no	—
513	C₂²×C₇₃	—	4	1	no	—
514	C₂²×C₇₃	—	4	2	no	—
515	C₂²×C₇₃	—	4	2	no	—
516	C₂²×C₇₃	—	4	2	no	—
517	C₂²×C₇₃	—	4	1	no	—
518	C₂²×C₇₃	—	4	2	no	—
519	C₂²×C₇₃	—	4	2	no	—
520	C₂²×C₇₃	—	4	2	no	—
521	C₂²×C₇₃	—	4	1	no	—
522	C₂²×C₇₃	—	4	2	no	—
523	C₂²×C₇₃	—	4	2	no	—
524	C₂²×C₇₃	—	4	1	no	—
525	C₂²×C₇₃	—	4	1	no	—
526	C₂²×C₇₃	—	4	1	no	—
527	C₂²×C₇₃	—	4	1	no	—
528	C₂²×C₇₃	—	4	1	no	—
529	C₂²×C₇₃	—	4	1	no	—
530	C₂²×C₇₃	—	4	1	no	—
531	C₂²×C₇₃	—	4	1	no	—
532	C₂²×C₇₃	—	8	16	no	—
533	C₂²×C₇₃	C₂³×D₄	1	1	yes	characteristic
534	C₂²×C₇₃	C₂²×#41	1	1	yes	characteristic
535	C₂²×C₇₃	C₂²×#41	1	1	yes	characteristic
536	C₂²×C₇₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
537	C₂²×C₇₃	#585	1	1	yes	characteristic
538	C₂²×C₇₃	#585	1	1	yes	characteristic
539	C₂²×C₇₃	#585	1	1	yes	characteristic
540	C₄×C₇₃	—	2	4	no	—
541	C₄×C₇₃	—	2	2	no	—
542	C₄×C₇₃	—	2	2	no	—
543	C₄×C₇₃	—	2	2	no	—
544	C₄×C₇₃	—	2	2	no	—
545	C₄×C₇₃	—	4	1	no	—
546	C₄×C₇₃	—	4	1	no	—
547	C₄×C₇₃	—	4	2	no	—
548	C₄×C₇₃	—	4	2	no	—
549	C₄×C₇₃	—	4	1	no	—
550	C₄×C₇₃	—	4	1	no	—
551	C₄×C₇₃	—	4	1	no	—
552	C₄×C₇₃	—	4	1	no	—
553	C₄×C₇₃	—	4	2	no	—
554	C₄×C₇₃	—	4	2	no	—
555	C₄×C₇₃	—	4	1	no	—
556	C₄×C₇₃	—	4	1	no	—
557	C₄×C₇₃	—	4	2	no	—
558	C₄×C₇₃	#546	1	4	yes	—
559	#59416	C₇₃	1	1	yes	maximal, characteristic, direct product factor, Sylow
560	C₂×C₇₃	—	4	4	no	—
561	C₂×C₇₃	—	4	4	no	—
562	C₂×C₇₃	—	4	2	no	—
563	C₂×C₇₃	—	8	1	no	—
564	C₂×C₇₃	C₂×#546	1	1	yes	characteristic
565	C₂×C₇₃	D₄×#41	1	1	yes	characteristic
566	C₂×C₇₃	#3475	1	1	yes	characteristic
567	C₂×C₇₃	#3500	1	1	yes	characteristic
568	C₂×C₇₃	#3514	1	1	yes	characteristic
569	C₂×C₇₃	#3521	1	1	yes	characteristic
570	C₂×C₇₃	#3562	1	1	yes	characteristic
571	C₂×#556	C₂×C₇₃	1	1	yes	characteristic, complemented
572	C₂×#546	C₂×C₇₃	1	1	yes	characteristic
573	#2687	C₂×C₇₃	1	2	yes	complemented
574	#2685	C₂×C₇₃	1	2	yes	complemented
575	#2580	C₂×C₇₃	1	1	yes	characteristic, complemented
576	#2559	C₂×C₇₃	1	2	yes	complemented
577	#2553	C₂×C₇₃	1	2	yes	complemented
578	#2536	C₂×C₇₃	1	1	yes	characteristic, complemented
579	#2480	C₂×C₇₃	1	2	yes	complemented
580	#2476	C₂×C₇₃	1	2	yes	complemented
581	#2472	C₂×C₇₃	1	2	yes	complemented
582	#2435	C₂×C₇₃	1	1	yes	characteristic, complemented
583	#2432	C₂×C₇₃	1	1	yes	characteristic, complemented
584	#2429	C₂×C₇₃	1	1	yes	characteristic, complemented
585	#2427	C₂×C₇₃	1	1	yes	characteristic, complemented
586	#2421	C₂×C₇₃	1	1	yes	characteristic, complemented
587	#2420	C₂×C₇₃	1	1	yes	characteristic, complemented
588	#2342	C₂×C₇₃	1	2	yes	complemented
589	#2341	C₂×C₇₃	1	1	yes	characteristic, complemented
590	D₄×C₂²⋊C₄	C₂×C₇₃	1	1	yes	characteristic, complemented
591	C₄×#124	C₂×C₇₃	1	1	yes	characteristic, complemented
592	C₄×#124	C₂×C₇₃	1	1	yes	characteristic, complemented
593	C₄×#124	C₂×C₇₃	1	1	yes	characteristic, complemented
594	C₇₃	#59416	1	1	yes	characteristic, direct product factor, Sylow
595	C₂²×#41	C₂²×C₇₃	1	1	yes	characteristic
596	C₂³×D₄	C₂²×C₇₃	1	1	yes	characteristic
597	#556	—	2	8	no	—
598	#546	—	2	8	no	—
599	C₂×C₄⋊Q₈	C₂²×C₇₃	1	1	yes	characteristic, complemented
600	C₂×#126	C₂²×C₇₃	1	2	yes	complemented
601	C₂×#126	C₂²×C₇₃	1	2	yes	complemented
602	C₂×#124	C₂²×C₇₃	1	1	yes	characteristic
603	C₂×#124	C₂²×C₇₃	1	1	yes	characteristic
604	C₂×#124	C₂²×C₇₃	1	1	yes	characteristic
605	C₂×#124	C₂²×C₇₃	1	1	yes	characteristic
606	C₂×#123	C₂²×C₇₃	1	2	yes	—
607	C₂×C₂²⋊Q₈	C₂²×C₇₃	1	1	yes	characteristic
608	C₂×C₂²⋊Q₈	C₂²×C₇₃	1	1	yes	characteristic
609	C₂×C₂²⋊Q₈	C₂²×C₇₃	1	2	yes	complemented
610	C₂×C₂²⋊Q₈	C₂²×C₇₃	1	1	yes	characteristic, complemented
611	C₂×#121	C₂²×C₇₃	1	1	yes	characteristic
612	C₂×#121	C₂²×C₇₃	1	2	yes	—
613	C₂×#120	C₂²×C₇₃	1	2	yes	—
614	C₂×C₄×Q₈	C₂²×C₇₃	1	1	yes	characteristic, complemented
615	C₂×C₄×Q₈	C₂²×C₇₃	1	1	yes	characteristic, complemented
616	C₂×C₄×Q₈	C₂²×C₇₃	1	1	yes	characteristic, complemented
617	C₂×C₄×Q₈	C₂²×C₇₃	1	1	yes	characteristic, complemented
618	C₂×C₄×D₄	C₂²×C₇₃	1	1	yes	characteristic
619	C₂×C₄×D₄	C₂²×C₇₃	1	1	yes	characteristic
620	C₂×C₄×D₄	C₂²×C₇₃	1	1	yes	characteristic
621	C₂×C₄×D₄	C₂²×C₇₃	1	1	yes	characteristic
622	C₂×#117	C₂²×C₇₃	1	2	yes	complemented
623	C₂²×C₂²⋊C₄	C₂²×C₇₃	1	2	yes	—
624	C₂²×C₂²⋊C₄	C₂²×C₇₃	1	2	yes	—
625	#400	C₂²×C₇₃	1	2	yes	complemented
626	#399	C₂²×C₇₃	1	2	yes	complemented
627	#398	C₂²×C₇₃	1	2	yes	complemented
628	#398	C₂²×C₇₃	1	2	yes	complemented
629	#397	C₂²×C₇₃	1	2	yes	—
630	#397	C₂²×C₇₃	1	2	yes	complemented
631	#397	C₂²×C₇₃	1	2	yes	complemented
632	#396	C₂²×C₇₃	1	2	yes	—
633	#394	C₂²×C₇₃	1	2	yes	—
634	#394	C₂²×C₇₃	1	2	yes	—
635	#394	C₂²×C₇₃	1	2	yes	—
636	#394	C₂²×C₇₃	1	2	yes	complemented
637	#394	C₂²×C₇₃	1	2	yes	complemented
638	#394	C₂²×C₇₃	1	2	yes	complemented
639	#394	C₂²×C₇₃	1	2	yes	complemented
640	#393	C₂²×C₇₃	1	2	yes	complemented
641	#391	C₂²×C₇₃	1	1	yes	characteristic, complemented
642	#391	C₂²×C₇₃	1	1	yes	characteristic, complemented
643	#391	C₂²×C₇₃	1	1	yes	characteristic, complemented
644	#390	C₂²×C₇₃	1	1	yes	characteristic
645	#390	C₂²×C₇₃	1	1	yes	characteristic
646	#390	C₂²×C₇₃	1	1	yes	characteristic
647	#390	C₂²×C₇₃	1	1	yes	characteristic
648	#390	C₂²×C₇₃	1	1	yes	characteristic
649	#390	C₂²×C₇₃	1	2	yes	complemented
650	#390	C₂²×C₇₃	1	2	yes	complemented
651	#389	C₂²×C₇₃	1	1	yes	characteristic, complemented
652	#389	C₂²×C₇₃	1	1	yes	characteristic, complemented
653	#389	C₂²×C₇₃	1	2	yes	complemented
654	#388	C₂²×C₇₃	1	1	yes	characteristic
655	#388	C₂²×C₇₃	1	2	yes	—
656	#388	C₂²×C₇₃	1	2	yes	—
657	#388	C₂²×C₇₃	1	2	yes	—
658	#388	C₂²×C₇₃	1	1	yes	characteristic
659	#388	C₂²×C₇₃	1	2	yes	complemented
660	#388	C₂²×C₇₃	1	2	yes	complemented
661	#388	C₂²×C₇₃	1	2	yes	complemented
662	#388	C₂²×C₇₃	1	1	yes	characteristic, complemented
663	#388	C₂²×C₇₃	1	2	yes	complemented
664	#388	C₂²×C₇₃	1	2	yes	complemented
665	#388	C₂²×C₇₃	1	1	yes	characteristic, complemented
666	#387	C₂²×C₇₃	1	2	yes	complemented
667	#386	C₂²×C₇₃	1	2	yes	—
668	#386	C₂²×C₇₃	1	2	yes	—
669	#386	C₂²×C₇₃	1	2	yes	complemented
670	#386	C₂²×C₇₃	1	2	yes	complemented
671	#385	C₂²×C₇₃	1	2	yes	complemented
672	#385	C₂²×C₇₃	1	2	yes	complemented
673	#385	C₂²×C₇₃	1	2	yes	complemented
674	#385	C₂²×C₇₃	1	2	yes	complemented
675	#382	C₂²×C₇₃	1	1	yes	characteristic, complemented
676	#382	C₂²×C₇₃	1	1	yes	characteristic, complemented
677	#382	C₂²×C₇₃	1	1	yes	characteristic, complemented
678	#381	C₂²×C₇₃	1	2	yes	complemented
679	#380	C₂²×C₇₃	1	1	yes	characteristic
680	#380	C₂²×C₇₃	1	1	yes	characteristic, complemented
681	#380	C₂²×C₇₃	1	2	yes	complemented
682	#380	C₂²×C₇₃	1	2	yes	complemented
683	#379	C₂²×C₇₃	1	2	yes	—
684	#379	C₂²×C₇₃	1	2	yes	—
685	#379	C₂²×C₇₃	1	2	yes	—
686	C₄×C₂²⋊C₄	C₂²×C₇₃	1	1	yes	characteristic
687	C₄×C₂²⋊C₄	C₂²×C₇₃	1	1	yes	characteristic
688	C₄×C₂²⋊C₄	C₂²×C₇₃	1	2	yes	complemented
689	C₄×C₂²⋊C₄	C₂²×C₇₃	1	1	yes	characteristic, complemented
690	C₄×C₂²⋊C₄	C₂²×C₇₃	1	2	yes	complemented
691	C₄×C₂²⋊C₄	C₂²×C₇₃	1	2	yes	complemented
692	C₄×C₂²⋊C₄	C₂²×C₇₃	1	1	yes	characteristic, complemented
693	C₄×C₂²⋊C₄	C₂²×C₇₃	1	2	yes	complemented
694	C₄×C₂²⋊C₄	C₂²×C₇₃	1	2	yes	complemented
695	C₄³	C₂²×C₇₃	1	1	yes	characteristic, complemented
696	C₂⁵	C₂³×C₇₃	1	2	yes	—
697	C₂×#41	—	2	4	no	—
698	C₂×#41	—	2	4	no	—
699	C₂×#41	—	4	2	no	—
700	C₂²×Q₈	C₂³×C₇₃	1	1	yes	characteristic
701	C₂²×Q₈	C₂³×C₇₃	1	1	yes	characteristic
702	C₂²×Q₈	C₂³×C₇₃	1	1	yes	characteristic
703	C₂²×D₄	—	2	4	no	—
704	C₂²×D₄	—	2	4	no	—
705	C₂²×D₄	—	4	2	no	—
706	C₂²×D₄	C₂³×C₇₃	1	1	yes	characteristic
707	C₂²×D₄	C₂³×C₇₃	1	2	yes	—
708	C₂²×D₄	C₂³×C₇₃	1	2	yes	—
709	C₂²×D₄	C₂³×C₇₃	1	1	yes	characteristic
710	C₂²×D₄	C₂³×C₇₃	1	1	yes	characteristic
711	C₂²×D₄	C₂³×C₇₃	1	2	yes	—
712	C₂³×C₄	C₂³×C₇₃	1	1	yes	characteristic
713	C₂³×C₄	C₂³×C₇₃	1	1	yes	characteristic
714	C₂³×C₄	C₂³×C₇₃	1	2	yes	—
715	C₂³×C₄	C₂³×C₇₃	1	2	yes	—
716	C₂³×C₄	C₂³×C₇₃	1	2	yes	—
717	C₂³×C₄	C₂³×C₇₃	1	2	yes	—
718	C₄⋊Q₈	—	2	4	no	—
719	#126	—	2	8	no	—
720	#126	—	2	8	no	—
721	#124	—	2	4	no	—
722	#124	—	2	4	no	—
723	#124	—	2	4	no	—
724	#124	D₄×C₇₃	1	8	yes	—
725	#123	—	2	8	no	—
726	C₂²⋊Q₈	—	2	4	no	—
727	C₂²⋊Q₈	—	2	8	no	—
728	C₂²⋊Q₈	—	4	2	no	—
729	C₂²⋊Q₈	—	4	2	no	—
730	#121	—	2	4	no	—
731	#121	—	2	8	no	—
732	#120	—	2	8	no	—
733	C₄×Q₈	—	2	4	no	—
734	C₄×Q₈	—	2	4	no	—
735	C₄×Q₈	—	2	4	no	—
736	C₄×Q₈	—	4	2	no	—
737	C₄×D₄	—	2	4	no	—
738	C₄×D₄	—	2	4	no	—
739	C₄×D₄	—	2	4	no	—
740	C₄×D₄	—	4	2	no	—
741	#117	—	2	8	no	—
742	C₂×C₄⋊C₄	C₂³×C₇₃	1	1	yes	characteristic
743	C₂×C₄⋊C₄	C₂³×C₇₃	1	2	yes	—
744	C₂×C₄⋊C₄	C₂³×C₇₃	1	1	yes	characteristic
745	C₂×C₄⋊C₄	C₂³×C₇₃	1	1	yes	characteristic
746	C₂×C₄⋊C₄	C₂³×C₇₃	1	1	yes	characteristic
747	C₂×C₄⋊C₄	C₂³×C₇₃	1	1	yes	characteristic
748	C₂×C₄⋊C₄	C₂³×C₇₃	1	1	yes	characteristic
749	C₂×C₄⋊C₄	C₂³×C₇₃	1	2	yes	—
750	C₂×C₄⋊C₄	C₂³×C₇₃	1	2	yes	—
751	C₂×C₄⋊C₄	C₂³×C₇₃	1	1	yes	characteristic
752	C₂×C₄⋊C₄	C₂³×C₇₃	1	1	yes	characteristic
753	C₂×C₄⋊C₄	C₂³×C₇₃	1	2	yes	—
754	C₂×C₄⋊C₄	C₂³×C₇₃	1	2	yes	—
755	C₂×C₄⋊C₄	C₂³×C₇₃	1	2	yes	—
756	C₂×C₄⋊C₄	C₂³×C₇₃	1	2	yes	—
757	C₂×C₄⋊C₄	C₂³×C₇₃	1	2	yes	—
758	C₂×C₄⋊C₄	C₂³×C₇₃	1	2	yes	—
759	C₂×C₄⋊C₄	C₂³×C₇₃	1	2	yes	—
760	C₂×C₂²⋊C₄	—	2	8	no	—
761	C₂×C₂²⋊C₄	—	2	8	no	—
762	C₂×C₂²⋊C₄	C₂³×C₇₃	1	1	yes	characteristic
763	C₂×C₂²⋊C₄	C₂³×C₇₃	1	2	yes	—
764	C₂×C₂²⋊C₄	C₂³×C₇₃	1	2	yes	—
765	C₂×C₂²⋊C₄	C₂³×C₇₃	1	2	yes	—
766	C₂×C₂²⋊C₄	C₂³×C₇₃	1	2	yes	—
767	C₂×C₂²⋊C₄	C₂³×C₇₃	1	2	yes	—
768	C₂×C₂²⋊C₄	C₂³×C₇₃	1	2	yes	—
769	C₂×C₂²⋊C₄	C₂³×C₇₃	1	2	yes	—
770	C₂×C₂²⋊C₄	C₂³×C₇₃	1	1	yes	characteristic
771	C₂×C₂²⋊C₄	C₂³×C₇₃	1	2	yes	—
772	C₂×C₂²⋊C₄	C₂³×C₇₃	1	2	yes	—
773	C₂×C₂²⋊C₄	C₂³×C₇₃	1	1	yes	characteristic
774	C₂×C₂²⋊C₄	C₂³×C₇₃	1	2	yes	—
775	C₂×C₂²⋊C₄	C₂³×C₇₃	1	2	yes	—
776	C₂×C₂²⋊C₄	C₂³×C₇₃	1	1	yes	characteristic
777	C₂×C₂²⋊C₄	C₂³×C₇₃	1	1	yes	characteristic
778	C₂×C₂²⋊C₄	C₂³×C₇₃	1	2	yes	—
779	C₂×C₂²⋊C₄	C₂³×C₇₃	1	2	yes	—
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	1	yes	characteristic
783	C₂×C₂²⋊C₄	C₂³×C₇₃	1	2	yes	—
784	C₂×C₂²⋊C₄	C₂³×C₇₃	1	2	yes	—
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	1	yes	characteristic
788	C₂×C₂²⋊C₄	C₂³×C₇₃	1	1	yes	characteristic
789	C₂×C₂²⋊C₄	C₂³×C₇₃	1	2	yes	—
790	C₂×C₂²⋊C₄	C₂³×C₇₃	1	2	yes	—
791	C₂×C₂²⋊C₄	C₂³×C₇₃	1	2	yes	—
792	C₂×C₂²⋊C₄	C₂³×C₇₃	1	2	yes	—
793	C₂×C₂²⋊C₄	C₂³×C₇₃	1	2	yes	—
794	C₂×C₂²⋊C₄	C₂³×C₇₃	1	1	yes	characteristic
795	C₂×C₄²	C₂³×C₇₃	1	2	yes	—
796	C₂×C₄²	C₂³×C₇₃	1	2	yes	—
797	C₂×C₄²	C₂³×C₇₃	1	1	yes	characteristic
798	C₂×C₄²	C₂³×C₇₃	1	1	yes	characteristic
799	C₂×C₄²	C₂³×C₇₃	1	1	yes	characteristic
800	C₂×C₄²	C₂³×C₇₃	1	1	yes	characteristic
801	C₂×C₄²	C₂³×C₇₃	1	1	yes	characteristic
802	C₂×C₄²	C₂³×C₇₃	1	2	yes	—
803	C₂×C₄²	C₂³×C₇₃	1	1	yes	characteristic
804	C₂×C₄²	C₂³×C₇₃	1	1	yes	characteristic
805	C₂×C₄²	C₂³×C₇₃	1	1	yes	characteristic
806	C₂×C₄²	C₂³×C₇₃	1	1	yes	characteristic
807	#95	C₂³×C₇₃	1	1	yes	characteristic
808	#95	C₂³×C₇₃	1	1	yes	characteristic
809	#95	C₂³×C₇₃	1	1	yes	characteristic
810	#95	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	1	yes	characteristic
814	#95	C₂³×C₇₃	1	2	yes	—
815	#95	C₂³×C₇₃	1	1	yes	characteristic
816	#95	C₂³×C₇₃	1	2	yes	—
817	#95	C₂³×C₇₃	1	2	yes	—
818	#95	C₂³×C₇₃	1	1	yes	characteristic
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	2	yes	—
823	#95	C₂³×C₇₃	1	2	yes	—
824	#95	C₂³×C₇₃	1	2	yes	—
825	#95	C₂³×C₇₃	1	2	yes	—
826	#95	C₂³×C₇₃	1	2	yes	—
827	C₂⁴	—	2	4	no	—
828	C₂⁴	—	2	4	no	—
829	C₂⁴	—	2	4	no	—
830	C₂⁴	—	4	2	no	—
831	C₂⁴	—	4	2	no	—
832	C₂⁴	—	4	2	no	—
833	C₂⁴	—	4	2	no	—
834	C₂⁴	C₂⁴×C₇₃	1	1	yes	characteristic
835	C₂⁴	C₂⁴×C₇₃	1	2	yes	—
836	C₂⁴	C₂⁴×C₇₃	1	1	yes	characteristic
837	C₂⁴	C₂⁴×C₇₃	1	2	yes	—
838	#41	—	4	16	no	—
839	C₂×Q₈	—	2	2	no	—
840	C₂×Q₈	—	2	2	no	—
841	C₂×Q₈	—	2	2	no	—
842	C₂×Q₈	—	2	2	no	—
843	C₂×Q₈	—	2	2	no	—
844	C₂×Q₈	—	2	2	no	—
845	C₂×Q₈	—	2	2	no	—
846	C₂×Q₈	—	4	1	no	—
847	C₂×Q₈	C₂×D₄×C₇₃	1	4	yes	—
848	C₂×D₄	—	2	4	no	—
849	C₂×D₄	—	2	2	no	—
850	C₂×D₄	—	2	4	no	—
851	C₂×D₄	—	2	4	no	—
852	C₂×D₄	—	2	4	no	—
853	C₂×D₄	—	2	2	no	—
854	C₂×D₄	—	2	2	no	—
855	C₂×D₄	—	2	4	no	—
856	C₂×D₄	—	2	2	no	—
857	C₂×D₄	—	2	2	no	—
858	C₂×D₄	—	2	2	no	—
859	C₂×D₄	—	4	2	no	—
860	C₂×D₄	—	4	1	no	—
861	C₂×D₄	—	4	2	no	—
862	C₂×D₄	—	4	2	no	—
863	C₂×D₄	—	4	2	no	—
864	C₂×D₄	—	4	16	no	—
865	C₂×D₄	C₂×D₄×C₇₃	1	4	yes	—
866	C₂×D₄	#41×C₇₃	1	4	yes	—
867	C₂²×C₄	—	2	4	no	—
868	C₂²×C₄	—	2	4	no	—
869	C₂²×C₄	—	2	4	no	—
870	C₂²×C₄	—	2	2	no	—
871	C₂²×C₄	—	2	2	no	—
872	C₂²×C₄	—	2	4	no	—
873	C₂²×C₄	—	2	2	no	—
874	C₂²×C₄	—	2	2	no	—
875	C₂²×C₄	—	2	2	no	—
876	C₂²×C₄	—	2	2	no	—
877	C₂²×C₄	—	2	4	no	—
878	C₂²×C₄	—	2	4	no	—
879	C₂²×C₄	—	4	2	no	—
880	C₂²×C₄	—	4	2	no	—
881	C₂²×C₄	—	4	2	no	—
882	C₂²×C₄	—	4	2	no	—
883	C₂²×C₄	—	4	2	no	—
884	C₂²×C₄	—	4	2	no	—
885	C₂²×C₄	C₂⁴×C₇₃	1	1	yes	characteristic
886	C₂²×C₄	C₂⁴×C₇₃	1	1	yes	characteristic
887	C₂²×C₄	C₂⁴×C₇₃	1	2	yes	—
888	C₂²×C₄	C₂⁴×C₇₃	1	2	yes	—
889	C₂²×C₄	C₂⁴×C₇₃	1	1	yes	characteristic
890	C₂²×C₄	C₂⁴×C₇₃	1	1	yes	characteristic
891	C₂²×C₄	C₂⁴×C₇₃	1	1	yes	characteristic
892	C₂²×C₄	C₂⁴×C₇₃	1	2	yes	—
893	C₂²×C₄	C₂⁴×C₇₃	1	2	yes	—
894	C₂²×C₄	C₂⁴×C₇₃	1	1	yes	characteristic
895	C₂²×C₄	C₂⁴×C₇₃	1	1	yes	characteristic
896	C₂²×C₄	C₂⁴×C₇₃	1	1	yes	characteristic
897	C₂²×C₄	C₂⁴×C₇₃	1	2	yes	—
898	C₂²×C₄	C₂⁴×C₇₃	1	1	yes	characteristic
899	C₂²×C₄	C₂⁴×C₇₃	1	1	yes	characteristic
900	C₂²×C₄	C₂⁴×C₇₃	1	2	yes	—
901	C₂²×C₄	C₂⁴×C₇₃	1	1	yes	characteristic
902	C₂²×C₄	C₂⁴×C₇₃	1	1	yes	characteristic
903	C₂²×C₄	C₂⁴×C₇₃	1	1	yes	characteristic
904	C₄⋊C₄	—	2	2	no	—
905	C₄⋊C₄	—	2	4	no	—
906	C₄⋊C₄	—	2	2	no	—
907	C₄⋊C₄	—	2	2	no	—
908	C₄⋊C₄	—	2	2	no	—
909	C₄⋊C₄	—	2	4	no	—
910	C₄⋊C₄	—	2	4	no	—
911	C₄⋊C₄	—	2	2	no	—
912	C₄⋊C₄	—	2	2	no	—
913	C₄⋊C₄	—	2	4	no	—
914	C₄⋊C₄	—	2	4	no	—
915	C₄⋊C₄	—	2	2	no	—
916	C₄⋊C₄	—	2	2	no	—
917	C₄⋊C₄	—	4	2	no	—
918	C₄⋊C₄	—	4	2	no	—
919	C₄⋊C₄	—	4	2	no	—
920	C₄⋊C₄	—	4	2	no	—
921	C₄⋊C₄	—	4	2	no	—
922	C₂²⋊C₄	—	2	4	no	—
923	C₂²⋊C₄	—	2	4	no	—
924	C₂²⋊C₄	—	2	4	no	—
925	C₂²⋊C₄	—	2	4	no	—
926	C₂²⋊C₄	—	2	4	no	—
927	C₂²⋊C₄	—	2	2	no	—
928	C₂²⋊C₄	—	2	4	no	—
929	C₂²⋊C₄	—	2	4	no	—
930	C₂²⋊C₄	—	2	2	no	—
931	C₂²⋊C₄	—	2	4	no	—
932	C₂²⋊C₄	—	2	4	no	—
933	C₂²⋊C₄	—	2	2	no	—
934	C₂²⋊C₄	—	2	4	no	—
935	C₂²⋊C₄	—	2	4	no	—
936	C₂²⋊C₄	—	2	2	no	—
937	C₂²⋊C₄	—	2	2	no	—
938	C₂²⋊C₄	—	4	2	no	—
939	C₂²⋊C₄	—	4	1	no	—
940	C₂²⋊C₄	—	4	1	no	—
941	C₂²⋊C₄	—	4	2	no	—
942	C₂²⋊C₄	—	4	2	no	—
943	C₂²⋊C₄	—	4	1	no	—
944	C₂²⋊C₄	—	4	1	no	—
945	C₂²⋊C₄	—	4	2	no	—
946	C₂²⋊C₄	—	4	2	no	—
947	C₂²⋊C₄	—	4	2	no	—
948	C₂²⋊C₄	—	4	2	no	—
949	C₂²⋊C₄	—	4	2	no	—
950	C₂²⋊C₄	—	4	2	no	—
951	C₂²⋊C₄	—	4	2	no	—
952	C₂²⋊C₄	C₂×D₄×C₇₃	1	8	yes	—
953	C₂²⋊C₄	C₂×D₄×C₇₃	1	8	yes	—
954	C₂²⋊C₄	#41×C₇₃	1	4	yes	complemented
955	C₄²	—	2	4	no	—
956	C₄²	—	2	4	no	—
957	C₄²	—	2	2	no	—
958	C₄²	—	2	2	no	—
959	C₄²	—	2	2	no	—
960	C₄²	—	2	2	no	—
961	C₄²	—	2	2	no	—
962	C₄²	—	4	1	no	—
963	C₄²	—	4	1	no	—
964	C₄²	—	4	1	no	—
965	C₄²	—	4	2	no	—
966	C₄²	C₂×D₄×C₇₃	1	4	yes	—
967	C₂³	—	2	1	no	—
968	C₂³	—	2	2	no	—
969	C₂³	—	2	2	no	—
970	C₂³	—	2	2	no	—
971	C₂³	—	2	1	no	—
972	C₂³	—	2	2	no	—
973	C₂³	—	2	1	no	—
974	C₂³	—	2	2	no	—
975	C₂³	—	2	2	no	—
976	C₂³	—	2	2	no	—
977	C₂³	—	2	2	no	—
978	C₂³	—	2	2	no	—
979	C₂³	—	2	2	no	—
980	C₂³	—	2	2	no	—
981	C₂³	—	2	1	no	—
982	C₂³	—	2	1	no	—
983	C₂³	—	2	2	no	—
984	C₂³	—	2	1	no	—
985	C₂³	—	2	1	no	—
986	C₂³	—	2	1	no	—
987	C₂³	—	2	1	no	—
988	C₂³	—	2	1	no	—
989	C₂³	—	2	1	no	—
990	C₂³	—	2	1	no	—
991	C₂³	—	2	1	no	—
992	C₂³	—	4	8	no	—
993	C₂³	—	4	8	no	—
994	C₂³	—	4	8	no	—
995	C₂³	—	8	4	no	—
996	C₂³	—	8	4	no	—
997	C₂³	—	8	4	no	—
998	C₂³	—	8	4	no	—
999	C₂³	C₂²×D₄×C₇₃	1	4	yes	—
1000	C₂³	C₂×#41×C₇₃	1	2	yes	—
1001	C₂³	C₂×#41×C₇₃	1	4	yes	—
1002	C₂³	C₂⁵×C₇₃	1	1	yes	characteristic
1003	Q₈	—	2	8	no	—
1004	Q₈	—	4	4	no	—
1005	Q₈	—	4	4	no	—
1006	D₄	—	2	8	no	—
1007	D₄	—	2	8	no	—
1008	D₄	—	4	8	no	—
1009	D₄	—	4	4	no	—
1010	D₄	—	4	8	no	—
1011	D₄	—	8	4	no	—
1012	C₂×C₄	—	2	1	no	—
1013	C₂×C₄	—	2	1	no	—
1014	C₂×C₄	—	2	2	no	—
1015	C₂×C₄	—	2	1	no	—
1016	C₂×C₄	—	2	2	no	—
1017	C₂×C₄	—	2	1	no	—
1018	C₂×C₄	—	2	1	no	—
1019	C₂×C₄	—	2	1	no	—
1020	C₂×C₄	—	2	1	no	—
1021	C₂×C₄	—	2	1	no	—
1022	C₂×C₄	—	2	1	no	—
1023	C₂×C₄	—	2	2	no	—
1024	C₂×C₄	—	2	1	no	—
1025	C₂×C₄	—	2	2	no	—
1026	C₂×C₄	—	2	1	no	—
1027	C₂×C₄	—	2	2	no	—
1028	C₂×C₄	—	2	1	no	—
1029	C₂×C₄	—	2	1	no	—
1030	C₂×C₄	—	2	1	no	—
1031	C₂×C₄	—	2	1	no	—
1032	C₂×C₄	—	2	1	no	—
1033	C₂×C₄	—	2	2	no	—
1034	C₂×C₄	—	2	2	no	—
1035	C₂×C₄	—	2	2	no	—
1036	C₂×C₄	—	2	1	no	—
1037	C₂×C₄	—	2	1	no	—
1038	C₂×C₄	—	2	1	no	—
1039	C₂×C₄	—	2	1	no	—
1040	C₂×C₄	—	2	2	no	—
1041	C₂×C₄	—	2	2	no	—
1042	C₂×C₄	—	2	2	no	—
1043	C₂×C₄	—	2	1	no	—
1044	C₂×C₄	—	2	1	no	—
1045	C₂×C₄	—	2	1	no	—
1046	C₂×C₄	—	2	1	no	—
1047	C₂×C₄	—	2	1	no	—
1048	C₂×C₄	—	2	1	no	—
1049	C₂×C₄	—	2	1	no	—
1050	C₂×C₄	—	2	1	no	—
1051	C₂×C₄	—	2	1	no	—
1052	C₂×C₄	—	2	2	no	—
1053	C₂×C₄	—	2	2	no	—
1054	C₂×C₄	—	2	2	no	—
1055	C₂×C₄	—	2	1	no	—
1056	C₂×C₄	—	2	1	no	—
1057	C₂×C₄	—	2	1	no	—
1058	C₂×C₄	—	2	2	no	—
1059	C₂×C₄	—	2	2	no	—
1060	C₂×C₄	—	2	2	no	—
1061	C₂×C₄	—	4	8	no	—
1062	C₂×C₄	—	4	8	no	—
1063	C₂×C₄	—	4	4	no	—
1064	C₂×C₄	—	4	4	no	—
1065	C₂×C₄	—	8	4	no	—
1066	C₂×C₄	—	8	4	no	—
1067	C₂×C₄	C₂²×D₄×C₇₃	1	2	yes	—
1068	C₂×C₄	C₂²×D₄×C₇₃	1	4	yes	—
1069	C₂×C₄	C₂²×D₄×C₇₃	1	2	yes	—
1070	C₂×C₄	C₂²×D₄×C₇₃	1	2	yes	—
1071	C₂×C₄	C₂×#41×C₇₃	1	2	yes	—
1072	C₂×C₄	C₂×#41×C₇₃	1	2	yes	—
1073	C₂×C₄	C₂×#41×C₇₃	1	2	yes	—
1074	C₂×C₄	H(5,𝔽₂)×C₇₃	1	2	yes	—
1075	C₂²	—	2	4	no	—
1076	C₂²	—	2	4	no	—
1077	C₂²	—	2	4	no	—
1078	C₂²	—	2	2	no	—
1079	C₂²	—	2	2	no	—
1080	C₂²	—	2	4	no	—
1081	C₂²	—	2	4	no	—
1082	C₂²	—	2	2	no	—
1083	C₂²	—	2	4	no	—
1084	C₂²	—	4	1	no	—
1085	C₂²	—	4	2	no	—
1086	C₂²	—	4	2	no	—
1087	C₂²	—	4	2	no	—
1088	C₂²	—	4	1	no	—
1089	C₂²	—	4	2	no	—
1090	C₂²	—	4	2	no	—
1091	C₂²	—	4	1	no	—
1092	C₂²	—	4	2	no	—
1093	C₂²	—	4	1	no	—
1094	C₂²	—	4	2	no	—
1095	C₂²	—	4	2	no	—
1096	C₂²	—	4	1	no	—
1097	C₂²	—	4	1	no	—
1098	C₂²	—	4	1	no	—
1099	C₂²	—	4	1	no	—
1100	C₂²	—	4	1	no	—
1101	C₂²	—	4	1	no	—
1102	C₂²	—	4	1	no	—
1103	C₂²	—	8	16	no	—
1104	C₂²	C₂³×D₄×C₇₃	1	1	yes	characteristic
1105	C₂²	C₂²×#41×C₇₃	1	1	yes	characteristic
1106	C₂²	C₂²×#41×C₇₃	1	1	yes	characteristic
1107	C₂²	C₂×H(5,𝔽₂)×C₇₃	1	1	yes	characteristic
1108	C₂²	#585×C₇₃	1	1	yes	characteristic
1109	C₂²	#585×C₇₃	1	1	yes	characteristic
1110	C₂²	#585×C₇₃	1	1	yes	characteristic
1111	C₄	—	2	4	no	—
1112	C₄	—	2	2	no	—
1113	C₄	—	2	2	no	—
1114	C₄	—	2	2	no	—
1115	C₄	—	2	2	no	—
1116	C₄	—	4	1	no	—
1117	C₄	—	4	1	no	—
1118	C₄	—	4	2	no	—
1119	C₄	—	4	2	no	—
1120	C₄	—	4	1	no	—
1121	C₄	—	4	1	no	—
1122	C₄	—	4	2	no	—
1123	C₄	—	4	1	no	—
1124	C₄	—	4	1	no	—
1125	C₄	—	4	2	no	—
1126	C₄	—	4	1	no	—
1127	C₄	—	4	1	no	—
1128	C₄	—	4	2	no	—
1129	C₄	#546×C₇₃	1	4	yes	—
1130	C₂	—	4	2	no	—
1131	C₂	—	4	4	no	—
1132	C₂	—	4	4	no	—
1133	C₂	—	8	1	no	—
1134	C₂	C₂×#546×C₇₃	1	1	yes	characteristic
1135	C₂	D₄×#41×C₇₃	1	1	yes	characteristic
1136	C₂	C₇₃×#3475	1	1	yes	characteristic
1137	C₂	C₇₃×#3500	1	1	yes	characteristic
1138	C₂	C₇₃×#3514	1	1	yes	characteristic
1139	C₂	C₇₃×#3521	1	1	yes	characteristic
1140	C₂	C₇₃×#3562	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂³×C₇₃	C₂⁵
commutator, Frattini, cosocle	C₂³	C₂⁵×C₇₃
prime radical	C₂×#546×C₇₃	C₂
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×#556×C₇₃	C₂	semidirect
3. C₇₃×#2687	C₂	semidirect
4. C₇₃×#2685	C₂	semidirect
5. C₇₃×#2580	C₂	semidirect
6. C₇₃×#2559	C₂	semidirect
7. C₇₃×#2553	C₂	semidirect
8. C₇₃×#2536	C₂	semidirect
9. C₇₃×#2480	C₂	semidirect
10. C₇₃×#2476	C₂	semidirect
11. C₇₃×#2472	C₂	semidirect
12. C₇₃×#2435	C₂	semidirect
13. C₇₃×#2432	C₂	semidirect
14. C₇₃×#2429	C₂	semidirect
15. C₇₃×#2427	C₂	semidirect
16. C₇₃×#2421	C₂	semidirect
17. C₇₃×#2420	C₂	semidirect
18. C₇₃×#2342	C₂	semidirect
19. C₇₃×#2341	C₂	semidirect
20. D₄×C₂²⋊C₄×C₇₃	C₂	semidirect
21. C₄×#124×C₇₃	C₂	semidirect
22. C₄×#124×C₇₃	C₂	semidirect
23. C₄×#124×C₇₃	C₂	semidirect
28. C₂×C₄⋊Q₈×C₇₃	C₂²	semidirect
29. C₂×#126×C₇₃	C₂²	semidirect
30. C₂×#126×C₇₃	C₂²	semidirect
38. C₂×C₂²⋊Q₈×C₇₃	C₂²	semidirect
39. C₂×C₂²⋊Q₈×C₇₃	C₂²	semidirect
43. C₂×C₄×Q₈×C₇₃	C₂²	semidirect
44. C₂×C₄×Q₈×C₇₃	C₂²	semidirect
45. C₂×C₄×Q₈×C₇₃	C₂²	semidirect
46. C₂×C₄×Q₈×C₇₃	C₂²	semidirect
51. C₂×#117×C₇₃	C₂²	semidirect
54. #400×C₇₃	C₂²	semidirect
55. #399×C₇₃	C₂²	semidirect
56. #398×C₇₃	C₂²	semidirect
57. #398×C₇₃	C₂²	semidirect
59. #397×C₇₃	C₂²	semidirect
60. #397×C₇₃	C₂²	semidirect
65. #394×C₇₃	C₂²	semidirect
66. #394×C₇₃	C₂²	semidirect
67. #394×C₇₃	C₂²	semidirect
68. #394×C₇₃	C₂²	semidirect
69. #393×C₇₃	C₂²	semidirect
70. #391×C₇₃	C₂²	semidirect
71. #391×C₇₃	C₂²	semidirect
72. #391×C₇₃	C₂²	semidirect
78. #390×C₇₃	C₂²	semidirect
79. #390×C₇₃	C₂²	semidirect
80. #389×C₇₃	C₂²	semidirect
81. #389×C₇₃	C₂²	semidirect
82. #389×C₇₃	C₂²	semidirect
88. #388×C₇₃	C₂²	semidirect
89. #388×C₇₃	C₂²	semidirect
90. #388×C₇₃	C₂²	semidirect
91. #388×C₇₃	C₂²	semidirect
92. #388×C₇₃	C₂²	semidirect
93. #388×C₇₃	C₂²	semidirect
94. #388×C₇₃	C₂²	semidirect
95. #387×C₇₃	C₂²	semidirect
98. #386×C₇₃	C₂²	semidirect
99. #386×C₇₃	C₂²	semidirect
100. #385×C₇₃	C₂²	semidirect
101. #385×C₇₃	C₂²	semidirect
102. #385×C₇₃	C₂²	semidirect
103. #385×C₇₃	C₂²	semidirect
104. #382×C₇₃	C₂²	semidirect
105. #382×C₇₃	C₂²	semidirect
106. #382×C₇₃	C₂²	semidirect
107. #381×C₇₃	C₂²	semidirect
109. #380×C₇₃	C₂²	semidirect
110. #380×C₇₃	C₂²	semidirect
111. #380×C₇₃	C₂²	semidirect
117. C₄×C₂²⋊C₄×C₇₃	C₂²	semidirect
118. C₄×C₂²⋊C₄×C₇₃	C₂²	semidirect
119. C₄×C₂²⋊C₄×C₇₃	C₂²	semidirect
120. C₄×C₂²⋊C₄×C₇₃	C₂²	semidirect
121. C₄×C₂²⋊C₄×C₇₃	C₂²	semidirect
122. C₄×C₂²⋊C₄×C₇₃	C₂²	semidirect
123. C₄×C₂²⋊C₄×C₇₃	C₂²	semidirect
124. C₄³×C₇₃	C₂²	semidirect
383. C₂²⋊C₄×C₇₃	#41	semidirect
559. #59416	C₇₃	direct (N × H)
571. C₂×#556	C₂×C₇₃	semidirect
573. #2687	C₂×C₇₃	semidirect
574. #2685	C₂×C₇₃	semidirect
575. #2580	C₂×C₇₃	semidirect
576. #2559	C₂×C₇₃	semidirect
577. #2553	C₂×C₇₃	semidirect
578. #2536	C₂×C₇₃	semidirect
579. #2480	C₂×C₇₃	semidirect
580. #2476	C₂×C₇₃	semidirect
581. #2472	C₂×C₇₃	semidirect
582. #2435	C₂×C₇₃	semidirect
583. #2432	C₂×C₇₃	semidirect
584. #2429	C₂×C₇₃	semidirect
585. #2427	C₂×C₇₃	semidirect
586. #2421	C₂×C₇₃	semidirect
587. #2420	C₂×C₇₃	semidirect
588. #2342	C₂×C₇₃	semidirect
589. #2341	C₂×C₇₃	semidirect
590. D₄×C₂²⋊C₄	C₂×C₇₃	semidirect
591. C₄×#124	C₂×C₇₃	semidirect
592. C₄×#124	C₂×C₇₃	semidirect
593. C₄×#124	C₂×C₇₃	semidirect
594. C₇₃	#59416	direct (N × H)
599. C₂×C₄⋊Q₈	C₂²×C₇₃	semidirect
600. C₂×#126	C₂²×C₇₃	semidirect
601. C₂×#126	C₂²×C₇₃	semidirect
609. C₂×C₂²⋊Q₈	C₂²×C₇₃	semidirect
610. C₂×C₂²⋊Q₈	C₂²×C₇₃	semidirect
614. C₂×C₄×Q₈	C₂²×C₇₃	semidirect
615. C₂×C₄×Q₈	C₂²×C₇₃	semidirect
616. C₂×C₄×Q₈	C₂²×C₇₃	semidirect
617. C₂×C₄×Q₈	C₂²×C₇₃	semidirect
622. C₂×#117	C₂²×C₇₃	semidirect
625. #400	C₂²×C₇₃	semidirect
626. #399	C₂²×C₇₃	semidirect
627. #398	C₂²×C₇₃	semidirect
628. #398	C₂²×C₇₃	semidirect
630. #397	C₂²×C₇₃	semidirect
631. #397	C₂²×C₇₃	semidirect
636. #394	C₂²×C₇₃	semidirect
637. #394	C₂²×C₇₃	semidirect
638. #394	C₂²×C₇₃	semidirect
639. #394	C₂²×C₇₃	semidirect
640. #393	C₂²×C₇₃	semidirect
641. #391	C₂²×C₇₃	semidirect
642. #391	C₂²×C₇₃	semidirect
643. #391	C₂²×C₇₃	semidirect
649. #390	C₂²×C₇₃	semidirect
650. #390	C₂²×C₇₃	semidirect
651. #389	C₂²×C₇₃	semidirect
652. #389	C₂²×C₇₃	semidirect
653. #389	C₂²×C₇₃	semidirect
659. #388	C₂²×C₇₃	semidirect
660. #388	C₂²×C₇₃	semidirect
661. #388	C₂²×C₇₃	semidirect
662. #388	C₂²×C₇₃	semidirect
663. #388	C₂²×C₇₃	semidirect
664. #388	C₂²×C₇₃	semidirect
665. #388	C₂²×C₇₃	semidirect
666. #387	C₂²×C₇₃	semidirect
669. #386	C₂²×C₇₃	semidirect
670. #386	C₂²×C₇₃	semidirect
671. #385	C₂²×C₇₃	semidirect
672. #385	C₂²×C₇₃	semidirect
673. #385	C₂²×C₇₃	semidirect
674. #385	C₂²×C₇₃	semidirect
675. #382	C₂²×C₇₃	semidirect
676. #382	C₂²×C₇₃	semidirect
677. #382	C₂²×C₇₃	semidirect
678. #381	C₂²×C₇₃	semidirect
680. #380	C₂²×C₇₃	semidirect
681. #380	C₂²×C₇₃	semidirect
682. #380	C₂²×C₇₃	semidirect
688. C₄×C₂²⋊C₄	C₂²×C₇₃	semidirect
689. C₄×C₂²⋊C₄	C₂²×C₇₃	semidirect
690. C₄×C₂²⋊C₄	C₂²×C₇₃	semidirect
691. C₄×C₂²⋊C₄	C₂²×C₇₃	semidirect
692. C₄×C₂²⋊C₄	C₂²×C₇₃	semidirect
693. C₄×C₂²⋊C₄	C₂²×C₇₃	semidirect
694. C₄×C₂²⋊C₄	C₂²×C₇₃	semidirect
695. C₄³	C₂²×C₇₃	semidirect
954. C₂²⋊C₄	#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×#556×C₇₃	2
C₂×#546×C₇₃	2
C₇₃×#2687	2
C₇₃×#2685	2
C₇₃×#2580	2
C₇₃×#2559	2
C₇₃×#2553	2
C₇₃×#2536	2
C₇₃×#2480	2
C₇₃×#2476	2
C₇₃×#2472	2
C₇₃×#2435	2
C₇₃×#2432	2
C₇₃×#2429	2
C₇₃×#2427	2
C₇₃×#2421	2
C₇₃×#2420	2
C₇₃×#2342	2
C₇₃×#2341	2
D₄×C₂²⋊C₄×C₇₃	2
C₄×#124×C₇₃	2
#59416	73

Subgroups — C73×#59416 #32968820

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₇₃×#59416 #32968820