Subgroups — C₂×#22623659 #33994327

Order 18688.

8006 conjugacy classes of subgroups.

The subgroup lattice has 1384 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#22623659	C₂	1	32	yes	maximal, direct product factor
2	C₂×#17989302	C₂	1	1	yes	maximal, characteristic, complemented
3	C₂×#17989301	C₂	1	1	yes	maximal, characteristic, complemented
4	C₂×#17989290	C₂	1	1	yes	maximal, characteristic, complemented
5	C₂×#17989284	C₂	1	1	yes	maximal, characteristic, complemented
6	C₂×#17989281	C₂	1	1	yes	maximal, characteristic, complemented
7	C₂×#17989266	C₂	1	2	yes	maximal, complemented
8	C₂×#17989262	C₂	1	2	yes	maximal, complemented
9	C₂×#17989242	C₂	1	1	yes	maximal, characteristic, complemented
10	C₂×#17989238	C₂	1	1	yes	maximal, characteristic, complemented
11	C₂×#17989234	C₂	1	2	yes	maximal, complemented
12	C₂×#17989229	C₂	1	2	yes	maximal, complemented
13	C₂×#17989217	C₂	1	1	yes	maximal, characteristic, complemented
14	C₂×#17989205	C₂	1	2	yes	maximal, complemented
15	C₂×#17989187	C₂	1	2	yes	maximal, complemented
16	C₂×#17989153	C₂	1	1	yes	maximal, characteristic, complemented
17	C₂×#17989134	C₂	1	2	yes	maximal, complemented
18	C₂×#17989120	C₂	1	2	yes	maximal, complemented
19	C₂×#17989096	C₂	1	1	yes	maximal, characteristic, complemented
20	C₂×#121×D₇₃	C₂	1	1	yes	maximal, characteristic, complemented
21	C₂×#17989068	C₂	1	1	yes	maximal, characteristic, complemented
22	C₂×#17989059	C₂	1	1	yes	maximal, characteristic, complemented
23	C₂×#117×D₇₃	C₂	1	1	yes	maximal, characteristic, complemented
24	C₂×#553×C₇₃	C₂	1	1	yes	maximal, characteristic, complemented
25	C₂²×#11924028	C₂²	1	1	yes	characteristic
26	C₂²×#11924028	C₂²	1	2	yes	complemented
27	C₂²×#11924028	C₂²	1	2	yes	complemented
28	C₂²×D₄×D₇₃	C₂²	1	1	yes	characteristic
29	C₂²×D₄×D₇₃	C₂²	1	2	yes	—
30	C₂³×C₄×D₇₃	C₂²	1	1	yes	characteristic
31	#17989302	C₂²	1	16	yes	complemented
32	#17989301	C₂²	1	16	yes	complemented
33	#17989290	C₂²	1	16	yes	complemented
34	#17989284	C₂²	1	16	yes	complemented
35	#17989281	C₂²	1	16	yes	complemented
36	#17989266	C₂²	1	32	yes	complemented
37	#17989262	C₂²	1	32	yes	complemented
38	#17989242	C₂²	1	16	yes	complemented
39	#17989238	C₂²	1	16	yes	complemented
40	#17989234	C₂²	1	32	yes	complemented
41	#17989229	C₂²	1	32	yes	complemented
42	#17989217	C₂²	1	16	yes	complemented
43	#17989205	C₂²	1	32	yes	complemented
44	#17989187	C₂²	1	32	yes	complemented
45	#17989153	C₂²	1	16	yes	complemented
46	#17989134	C₂²	1	32	yes	complemented
47	C₂×#14556591	C₂²	1	1	yes	characteristic, complemented
48	C₂×#14556590	C₂²	1	2	yes	complemented
49	C₂×#14556590	C₂²	1	1	yes	characteristic, complemented
50	C₂×#14556587	C₂²	1	2	yes	complemented
51	#17989120	C₂²	1	32	yes	complemented
52	C₂×#14556586	C₂²	1	2	yes	complemented
53	C₂×#14556585	C₂²	1	2	yes	complemented
54	C₂×#14556584	C₂²	1	2	yes	complemented
55	C₂×#14556582	C₂²	1	1	yes	characteristic, complemented
56	C₂×#14556581	C₂²	1	2	yes	complemented
57	C₂×#14556578	C₂²	1	2	yes	complemented
58	C₂×#14556577	C₂²	1	2	yes	complemented
59	C₂×#14556577	C₂²	1	2	yes	complemented
60	C₂×#14556577	C₂²	1	2	yes	complemented
61	C₂×#14556577	C₂²	1	2	yes	complemented
62	#17989096	C₂²	1	16	yes	complemented
63	C₂×#14556576	C₂²	1	1	yes	characteristic
64	C₂×#14556576	C₂²	1	2	yes	complemented
65	C₂×#14556576	C₂²	1	2	yes	complemented
66	C₂×#14556574	C₂²	1	2	yes	complemented
67	C₂×#14556573	C₂²	1	1	yes	characteristic
68	C₂×#14556573	C₂²	1	2	yes	complemented
69	C₂×#14556573	C₂²	1	2	yes	complemented
70	C₂×#14556573	C₂²	1	2	yes	complemented
71	C₂×#14556572	C₂²	1	2	yes	complemented
72	C₂×#14556571	C₂²	1	2	yes	—
73	C₂×#14556570	C₂²	1	2	yes	complemented
74	C₂×#14556569	C₂²	1	2	yes	—
75	C₂×#14556569	C₂²	1	2	yes	complemented
76	C₂×#14556569	C₂²	1	1	yes	characteristic, complemented
77	C₂×#14556568	C₂²	1	1	yes	characteristic, complemented
78	C₂×#14556566	C₂²	1	1	yes	characteristic
79	C₂×#14556566	C₂²	1	1	yes	characteristic, complemented
80	C₂×#14556566	C₂²	1	2	yes	complemented
81	C₂×#14556565	C₂²	1	1	yes	characteristic
82	C₂×#14556565	C₂²	1	1	yes	characteristic, complemented
83	C₂×#14556564	C₂²	1	2	yes	—
84	C₂×#14556564	C₂²	1	2	yes	complemented
85	C₂×#14556564	C₂²	1	1	yes	characteristic, complemented
86	C₂×#14556563	C₂²	1	2	yes	—
87	C₂×#14556563	C₂²	1	1	yes	characteristic, complemented
88	C₂×#14556563	C₂²	1	2	yes	complemented
89	C₂×#14556562	C₂²	1	1	yes	characteristic
90	C₂×#14556562	C₂²	1	1	yes	characteristic, complemented
91	C₂×#14556562	C₂²	1	2	yes	complemented
92	C₂×#14556562	C₂²	1	2	yes	complemented
93	#121×D₇₃	C₂²	1	16	yes	complemented
94	C₂×#14556561	C₂²	1	2	yes	—
95	C₂×#14556561	C₂²	1	1	yes	characteristic
96	C₂×#14556559	C₂²	1	2	yes	—
97	C₂×#14556559	C₂²	1	1	yes	characteristic
98	#17989068	C₂²	1	16	yes	complemented
99	#17989059	C₂²	1	16	yes	complemented
100	C₂×#14556556	C₂²	1	2	yes	complemented
101	C₂×C₄×D₂₉₂	C₂²	1	1	yes	characteristic, complemented
102	C₂×C₄×D₂₉₂	C₂²	1	1	yes	characteristic, complemented
103	C₂×C₄×D₂₉₂	C₂²	1	2	yes	complemented
104	C₂×D₄×Dic₇₃	C₂²	1	1	yes	characteristic, complemented
105	C₂×#14556553	C₂²	1	2	yes	—
106	C₂×#14556553	C₂²	1	1	yes	characteristic, complemented
107	C₂×#14556553	C₂²	1	2	yes	complemented
108	C₂×C₄×C₂²⋊D₇₃	C₂²	1	2	yes	—
109	C₂×C₄×C₂²⋊D₇₃	C₂²	1	2	yes	complemented
110	C₂×C₄×C₂²⋊D₇₃	C₂²	1	2	yes	complemented
111	C₂×C₄×C₂²⋊D₇₃	C₂²	1	1	yes	characteristic, complemented
112	C₂×C₄×C₂²⋊D₇₃	C₂²	1	1	yes	characteristic, complemented
113	C₂×#14556551	C₂²	1	2	yes	complemented
114	C₂×#14556551	C₂²	1	2	yes	complemented
115	C₂×#14556550	C₂²	1	1	yes	characteristic, complemented
116	C₂×#14556550	C₂²	1	1	yes	characteristic, complemented
117	C₂×#14556549	C₂²	1	1	yes	characteristic
118	C₂×#14556549	C₂²	1	1	yes	characteristic
119	C₂×#14556549	C₂²	1	1	yes	characteristic, complemented
120	C₂×#14556549	C₂²	1	2	yes	complemented
121	C₂×#14556548	C₂²	1	1	yes	characteristic
122	C₂×#14556548	C₂²	1	2	yes	—
123	C₂×#14556547	C₂²	1	2	yes	complemented
124	C₂×#14556547	C₂²	1	2	yes	complemented
125	#117×D₇₃	C₂²	1	16	yes	complemented
126	C₂×C₄⋊C₄×D₇₃	C₂²	1	1	yes	characteristic
127	C₂×C₄⋊C₄×D₇₃	C₂²	1	1	yes	characteristic, complemented
128	C₂×C₄⋊C₄×D₇₃	C₂²	1	1	yes	characteristic, complemented
129	C₂×C₄⋊C₄×D₇₃	C₂²	1	1	yes	characteristic, complemented
130	C₂²×#11924005	C₂²	1	2	yes	—
131	C₂×C₂²⋊C₄×D₇₃	C₂²	1	2	yes	—
132	C₂×C₂²⋊C₄×D₇₃	C₂²	1	2	yes	—
133	C₂×C₂²⋊C₄×D₇₃	C₂²	1	2	yes	—
134	C₂×C₄²×D₇₃	C₂²	1	2	yes	complemented
135	#553×C₇₃	C₂²	1	16	yes	complemented
136	C₂×#126×C₇₃	C₂²	1	2	yes	complemented
137	C₂×#125×C₇₃	C₂²	1	1	yes	characteristic, complemented
138	C₂×#123×C₇₃	C₂²	1	2	yes	complemented
139	C₂×#121×C₇₃	C₂²	1	1	yes	characteristic
140	C₂×#121×C₇₃	C₂²	1	1	yes	characteristic, complemented
141	C₂×#121×C₇₃	C₂²	1	2	yes	complemented
142	C₂×C₄×D₄×C₇₃	C₂²	1	1	yes	characteristic, complemented
143	C₂×C₄×D₄×C₇₃	C₂²	1	1	yes	characteristic, complemented
144	C₂×C₄×D₄×C₇₃	C₂²	1	2	yes	complemented
145	C₂×#117×C₇₃	C₂²	1	1	yes	characteristic, complemented
146	C₂²×C₄⋊C₄×C₇₃	C₂²	1	1	yes	characteristic, complemented
147	C₂⁴×D₇₃	C₂³	1	1	yes	characteristic
148	C₂⁴×D₇₃	C₂³	1	2	yes	—
149	C₂×#11924028	—	2	8	no	—
150	C₂×#11924028	—	4	8	no	—
151	C₂×#11924028	—	4	8	no	—
152	C₂×#11924028	C₂³	1	8	yes	—
153	C₂×#11924028	C₂³	1	16	yes	complemented
154	C₂×#11924028	C₂³	1	16	yes	complemented
155	C₂²×Dic₁₄₆	C₂³	1	1	yes	characteristic
156	C₂²×Dic₁₄₆	C₂³	1	2	yes	—
157	C₂²×Dic₁₄₆	C₂³	1	2	yes	—
158	C₂²×D₂₉₂	C₂³	1	2	yes	—
159	C₂²×D₂₉₂	C₂³	1	1	yes	characteristic
160	C₂²×D₂₉₂	C₂³	1	1	yes	characteristic
161	C₂²×D₂₉₂	C₂³	1	1	yes	characteristic
162	C₂²×D₂₉₂	C₂³	1	2	yes	—
163	C₂²×C₂²⋊D₇₃	C₂³	1	1	yes	characteristic
164	C₂²×C₂²⋊D₇₃	C₂³	1	2	yes	—
165	C₂²×C₂²⋊D₇₃	C₂³	1	2	yes	—
166	C₂²×C₂²⋊D₇₃	C₂³	1	1	yes	characteristic
167	C₂²×C₂²⋊D₇₃	C₂³	1	1	yes	characteristic
168	C₂²×C₂²⋊D₇₃	C₂³	1	2	yes	—
169	C₂²×C₂²⋊D₇₃	C₂³	1	2	yes	—
170	C₂²×C₂²⋊D₇₃	C₂³	1	2	yes	—
171	C₂²×C₂²⋊D₇₃	C₂³	1	1	yes	characteristic
172	C₂×D₄×D₇₃	—	2	8	no	—
173	C₂×D₄×D₇₃	—	4	8	no	—
174	C₂×D₄×D₇₃	C₂³	1	8	yes	—
175	C₂×D₄×D₇₃	C₂³	1	16	yes	—
176	C₂³×Dic₇₃	C₂³	1	1	yes	characteristic
177	C₂³×Dic₇₃	C₂³	1	2	yes	—
178	C₂²×C₄×D₇₃	—	2	8	no	—
179	C₂²×C₄×D₇₃	C₂³	1	1	yes	characteristic
180	C₂²×C₄×D₇₃	C₂³	1	1	yes	characteristic
181	C₂²×C₄×D₇₃	C₂³	1	1	yes	characteristic
182	C₂²×C₄×D₇₃	C₂³	1	8	yes	—
183	C₂²×C₄×D₇₃	C₂³	1	1	yes	characteristic
184	C₂²×C₄×D₇₃	C₂³	1	2	yes	—
185	C₂²×C₄×D₇₃	C₂³	1	2	yes	—
186	C₂²×C₄×D₇₃	C₂³	1	2	yes	—
187	C₂²×C₄×D₇₃	C₂³	1	2	yes	—
188	C₂²×C₄×D₇₃	C₂³	1	2	yes	—
189	C₂²×C₄×D₇₃	C₂³	1	2	yes	—
190	C₂²×C₄×D₇₃	C₂³	1	1	yes	characteristic
191	#14556591	C₂³	1	8	yes	complemented
192	#14556590	C₂³	1	16	yes	complemented
193	#14556590	C₂³	1	8	yes	complemented
194	#14556587	C₂³	1	16	yes	complemented
195	#14556586	C₂³	1	16	yes	complemented
196	#14556585	C₂³	1	16	yes	complemented
197	#14556584	C₂³	1	16	yes	complemented
198	#14556582	C₂³	1	8	yes	complemented
199	#14556581	C₂³	1	16	yes	complemented
200	#14556578	C₂³	1	16	yes	complemented
201	#14556577	C₂³	1	16	yes	complemented
202	#14556577	C₂³	1	16	yes	complemented
203	#14556577	C₂³	1	16	yes	complemented
204	#14556577	C₂³	1	16	yes	complemented
205	#14556576	C₂³	1	8	yes	—
206	#14556576	C₂³	1	16	yes	complemented
207	#14556576	C₂³	1	16	yes	complemented
208	#14556574	C₂³	1	16	yes	complemented
209	#14556573	C₂³	1	8	yes	—
210	#14556573	C₂³	1	16	yes	complemented
211	#14556573	C₂³	1	16	yes	complemented
212	#14556573	C₂³	1	16	yes	complemented
213	#14556572	C₂³	1	16	yes	complemented
214	#14556571	C₂³	1	16	yes	—
215	#14556570	C₂³	1	16	yes	complemented
216	#14556569	C₂³	1	16	yes	—
217	#14556569	C₂³	1	8	yes	complemented
218	#14556569	C₂³	1	16	yes	complemented
219	#14556568	C₂³	1	8	yes	complemented
220	#14556566	C₂³	1	8	yes	—
221	#14556566	C₂³	1	16	yes	complemented
222	#14556566	C₂³	1	8	yes	complemented
223	#14556565	C₂³	1	8	yes	—
224	#14556565	C₂³	1	8	yes	complemented
225	#14556564	C₂³	1	16	yes	—
226	#14556564	C₂³	1	8	yes	complemented
227	#14556564	C₂³	1	16	yes	complemented
228	#14556563	C₂³	1	16	yes	—
229	#14556563	C₂³	1	8	yes	complemented
230	#14556563	C₂³	1	16	yes	complemented
231	#14556562	C₂³	1	8	yes	—
232	#14556562	C₂³	1	16	yes	complemented
233	#14556562	C₂³	1	8	yes	complemented
234	#14556562	C₂³	1	16	yes	complemented
235	#14556561	C₂³	1	16	yes	—
236	#14556561	C₂³	1	8	yes	—
237	#14556559	C₂³	1	16	yes	—
238	#14556559	C₂³	1	8	yes	—
239	#14556556	C₂³	1	16	yes	complemented
240	C₄×D₂₉₂	C₂³	1	16	yes	complemented
241	C₄×D₂₉₂	C₂³	1	8	yes	complemented
242	C₄×D₂₉₂	C₂³	1	8	yes	complemented
243	D₄×Dic₇₃	C₂³	1	8	yes	complemented
244	#14556553	C₂³	1	16	yes	—
245	#14556553	C₂³	1	16	yes	complemented
246	#14556553	C₂³	1	8	yes	complemented
247	C₄×C₂²⋊D₇₃	C₂³	1	16	yes	—
248	C₄×C₂²⋊D₇₃	C₂³	1	16	yes	complemented
249	C₄×C₂²⋊D₇₃	C₂³	1	16	yes	complemented
250	C₄×C₂²⋊D₇₃	C₂³	1	8	yes	complemented
251	C₄×C₂²⋊D₇₃	C₂³	1	8	yes	complemented
252	#14556551	C₂³	1	16	yes	complemented
253	#14556551	C₂³	1	16	yes	complemented
254	#14556550	C₂³	1	8	yes	complemented
255	#14556550	C₂³	1	8	yes	complemented
256	#14556549	C₂³	1	8	yes	—
257	#14556549	C₂³	1	8	yes	—
258	#14556549	C₂³	1	16	yes	complemented
259	#14556549	C₂³	1	8	yes	complemented
260	#14556548	C₂³	1	8	yes	—
261	#14556548	C₂³	1	16	yes	—
262	#14556547	C₂³	1	16	yes	complemented
263	#14556547	C₂³	1	16	yes	complemented
264	C₂×C₄⋊Dic₇₃	C₂³	1	1	yes	characteristic
265	C₂×C₄⋊Dic₇₃	C₂³	1	2	yes	—
266	C₂×C₄⋊Dic₇₃	C₂³	1	1	yes	characteristic
267	C₂×C₄⋊Dic₇₃	C₂³	1	2	yes	—
268	C₂×C₄⋊Dic₇₃	C₂³	1	1	yes	characteristic
269	C₂×C₄⋊Dic₇₃	C₂³	1	1	yes	characteristic
270	C₂×#11924007	C₂³	1	1	yes	characteristic
271	C₂×#11924007	C₂³	1	2	yes	—
272	C₂×#11924007	C₂³	1	2	yes	—
273	C₂×#11924007	C₂³	1	2	yes	—
274	C₂×#11924007	C₂³	1	2	yes	—
275	C₂×#11924007	C₂³	1	2	yes	—
276	C₂×#11924007	C₂³	1	1	yes	characteristic
277	C₂×#11924007	C₂³	1	1	yes	characteristic
278	C₂×#11924007	C₂³	1	2	yes	—
279	C₂×#11924007	C₂³	1	1	yes	characteristic
280	C₄⋊C₄×D₇₃	C₂³	1	8	yes	—
281	C₄⋊C₄×D₇₃	C₂³	1	8	yes	complemented
282	C₄⋊C₄×D₇₃	C₂³	1	8	yes	complemented
283	C₄⋊C₄×D₇₃	C₂³	1	8	yes	complemented
284	C₂×C₂²⋊Dic₇₃	C₂³	1	2	yes	—
285	C₂×C₂²⋊Dic₇₃	C₂³	1	2	yes	—
286	C₂×C₂²⋊Dic₇₃	C₂³	1	2	yes	—
287	C₂×C₂²⋊Dic₇₃	C₂³	1	2	yes	—
288	C₂×C₂²⋊Dic₇₃	C₂³	1	2	yes	—
289	C₂×C₂²⋊Dic₇₃	C₂³	1	1	yes	characteristic
290	C₂×C₂²⋊Dic₇₃	C₂³	1	1	yes	characteristic
291	C₂×#11924005	C₂³	1	16	yes	—
292	C₂×#11924005	C₂³	1	2	yes	—
293	C₂×#11924005	C₂³	1	1	yes	characteristic
294	C₂×#11924005	C₂³	1	2	yes	—
295	C₂×#11924005	C₂³	1	2	yes	—
296	C₂×#11924005	C₂³	1	2	yes	—
297	C₂×#11924005	C₂³	1	1	yes	characteristic
298	C₂×#11924005	C₂³	1	2	yes	—
299	C₂×#11924005	C₂³	1	2	yes	—
300	C₂×#11924005	C₂³	1	2	yes	—
301	C₂×#11924005	C₂³	1	2	yes	—
302	C₂×#11924005	C₂³	1	1	yes	characteristic
303	C₂×#11924005	C₂³	1	1	yes	characteristic
304	C₂×#11924005	C₂³	1	1	yes	characteristic
305	C₂×#11924005	C₂³	1	2	yes	—
306	C₂×#11924005	C₂³	1	1	yes	characteristic
307	C₂²⋊C₄×D₇₃	C₂³	1	16	yes	—
308	C₂²⋊C₄×D₇₃	C₂³	1	16	yes	—
309	C₂²⋊C₄×D₇₃	C₂³	1	16	yes	—
310	C₂×C₄×Dic₇₃	C₂³	1	2	yes	—
311	C₂×C₄×Dic₇₃	C₂³	1	1	yes	characteristic
312	C₂×C₄×Dic₇₃	C₂³	1	2	yes	—
313	C₂×C₄×Dic₇₃	C₂³	1	2	yes	—
314	C₂×C₄×Dic₇₃	C₂³	1	2	yes	—
315	C₂×C₄×Dic₇₃	C₂³	1	2	yes	—
316	C₄²×D₇₃	C₂³	1	16	yes	complemented
317	C₂²×D₄×C₇₃	C₂³	1	1	yes	characteristic
318	C₂²×D₄×C₇₃	C₂³	1	2	yes	—
319	C₂²×D₄×C₇₃	C₂³	1	2	yes	—
320	C₂²×D₄×C₇₃	C₂³	1	1	yes	characteristic
321	C₂³×C₄×C₇₃	C₂³	1	1	yes	characteristic
322	C₂³×C₄×C₇₃	C₂³	1	1	yes	characteristic
323	C₂³×C₄×C₇₃	C₂³	1	2	yes	—
324	C₂³×C₄×C₇₃	C₂³	1	2	yes	—
325	#126×C₇₃	C₂³	1	16	yes	complemented
326	#125×C₇₃	C₂³	1	8	yes	complemented
327	#123×C₇₃	C₂³	1	16	yes	complemented
328	#121×C₇₃	C₂³	1	8	yes	—
329	#121×C₇₃	C₂³	1	8	yes	complemented
330	#121×C₇₃	C₂³	1	16	yes	complemented
331	C₄×D₄×C₇₃	C₂³	1	16	yes	complemented
332	C₄×D₄×C₇₃	C₂³	1	8	yes	complemented
333	C₄×D₄×C₇₃	C₂³	1	8	yes	complemented
334	#117×C₇₃	C₂³	1	8	yes	complemented
335	C₂×C₄⋊C₄×C₇₃	C₂³	1	1	yes	characteristic
336	C₂×C₄⋊C₄×C₇₃	C₂³	1	2	yes	—
337	C₂×C₄⋊C₄×C₇₃	C₂³	1	1	yes	characteristic
338	C₂×C₄⋊C₄×C₇₃	C₂³	1	2	yes	—
339	C₂×C₄⋊C₄×C₇₃	C₂³	1	1	yes	characteristic
340	C₂×C₄⋊C₄×C₇₃	C₂³	1	1	yes	characteristic
341	C₂×C₄⋊C₄×C₇₃	C₂³	1	2	yes	—
342	C₂×C₄⋊C₄×C₇₃	C₂³	1	8	yes	complemented
343	C₂×C₂²⋊C₄×C₇₃	C₂³	1	2	yes	—
344	C₂×C₂²⋊C₄×C₇₃	C₂³	1	1	yes	characteristic
345	C₂×C₂²⋊C₄×C₇₃	C₂³	1	2	yes	—
346	C₂×C₂²⋊C₄×C₇₃	C₂³	1	2	yes	—
347	C₂×C₂²⋊C₄×C₇₃	C₂³	1	1	yes	characteristic
348	C₂×C₂²⋊C₄×C₇₃	C₂³	1	2	yes	—
349	C₂×C₄²×C₇₃	C₂³	1	1	yes	characteristic
350	C₂×C₄²×C₇₃	C₂³	1	2	yes	—
351	C₂³×D₇₃	—	2	4	no	—
352	C₂³×D₇₃	—	2	4	no	—
353	C₂³×D₇₃	—	2	8	no	—
354	C₂³×D₇₃	—	4	2	no	—
355	C₂³×D₇₃	—	4	4	no	—
356	C₂³×D₇₃	—	4	4	no	—
357	C₂³×D₇₃	C₂⁴	1	2	yes	—
358	C₂³×D₇₃	C₂⁴	1	1	yes	characteristic
359	C₂³×D₇₃	C₂⁴	1	4	yes	—
360	C₂³×D₇₃	C₂⁴	1	1	yes	characteristic
361	C₂³×D₇₃	C₂⁴	1	1	yes	characteristic
362	C₂³×D₇₃	C₂⁴	1	8	yes	—
363	#11924028	—	2	32	no	—
364	#11924028	—	4	32	no	—
365	#11924028	—	4	32	no	—
366	C₂×Dic₁₄₆	—	2	4	no	—
367	C₂×Dic₁₄₆	—	4	4	no	—
368	C₂×Dic₁₄₆	—	4	4	no	—
369	C₂×Dic₁₄₆	C₂⁴	1	4	yes	—
370	C₂×Dic₁₄₆	C₂⁴	1	8	yes	—
371	C₂×Dic₁₄₆	C₂⁴	1	8	yes	—
372	C₂×D₂₉₂	—	2	4	no	—
373	C₂×D₂₉₂	—	2	8	no	—
374	C₂×D₂₉₂	—	2	4	no	—
375	C₂×D₂₉₂	—	2	4	no	—
376	C₂×D₂₉₂	—	4	4	no	—
377	C₂×D₂₉₂	C₂⁴	1	4	yes	—
378	C₂×D₂₉₂	C₂⁴	1	4	yes	—
379	C₂×D₂₉₂	C₂⁴	1	8	yes	—
380	C₂×D₂₉₂	C₂⁴	1	4	yes	—
381	C₂×D₂₉₂	C₂⁴	1	8	yes	—
382	C₂×C₂²⋊D₇₃	—	2	4	no	—
383	C₂×C₂²⋊D₇₃	—	2	8	no	—
384	C₂×C₂²⋊D₇₃	—	2	4	no	—
385	C₂×C₂²⋊D₇₃	—	2	8	no	—
386	C₂×C₂²⋊D₇₃	—	2	4	no	—
387	C₂×C₂²⋊D₇₃	—	4	4	no	—
388	C₂×C₂²⋊D₇₃	—	4	2	no	—
389	C₂×C₂²⋊D₇₃	—	4	4	no	—
390	C₂×C₂²⋊D₇₃	—	4	4	no	—
391	C₂×C₂²⋊D₇₃	C₂⁴	1	8	yes	—
392	C₂×C₂²⋊D₇₃	C₂⁴	1	8	yes	—
393	C₂×C₂²⋊D₇₃	C₂⁴	1	4	yes	—
394	C₂×C₂²⋊D₇₃	C₂⁴	1	4	yes	—
395	C₂×C₂²⋊D₇₃	C₂⁴	1	4	yes	—
396	C₂×C₂²⋊D₇₃	C₂⁴	1	4	yes	—
397	C₂×C₂²⋊D₇₃	C₂⁴	1	8	yes	—
398	C₂×C₂²⋊D₇₃	C₂⁴	1	8	yes	—
399	C₂×C₂²⋊D₇₃	C₂⁴	1	8	yes	—
400	D₄×D₇₃	—	2	32	no	—
401	D₄×D₇₃	—	4	32	no	—
402	C₂²×Dic₇₃	—	2	4	no	—
403	C₂²×Dic₇₃	—	4	4	no	—
404	C₂²×Dic₇₃	C₂⁴	1	2	yes	—
405	C₂²×Dic₇₃	C₂⁴	1	1	yes	characteristic
406	C₂²×Dic₇₃	C₂⁴	1	2	yes	—
407	C₂²×Dic₇₃	C₂⁴	1	1	yes	characteristic
408	C₂²×Dic₇₃	C₂⁴	1	1	yes	characteristic
409	C₂²×Dic₇₃	C₂⁴	1	2	yes	—
410	C₂²×Dic₇₃	C₂⁴	1	1	yes	characteristic
411	C₂²×Dic₇₃	C₂⁴	1	4	yes	—
412	C₂²×Dic₇₃	C₂⁴	1	8	yes	—
413	C₂²×Dic₇₃	C₂⁴	1	1	yes	characteristic
414	C₂×C₄×D₇₃	—	2	4	no	—
415	C₂×C₄×D₇₃	—	2	8	no	—
416	C₂×C₄×D₇₃	—	2	4	no	—
417	C₂×C₄×D₇₃	—	2	4	no	—
418	C₂×C₄×D₇₃	—	2	4	no	—
419	C₂×C₄×D₇₃	—	2	32	no	—
420	C₂×C₄×D₇₃	—	4	4	no	—
421	C₂×C₄×D₇₃	—	4	4	no	—
422	C₂×C₄×D₇₃	—	4	4	no	—
423	C₂×C₄×D₇₃	—	4	4	no	—
424	C₂×C₄×D₇₃	—	4	4	no	—
425	C₂×C₄×D₇₃	#41	1	8	yes	complemented
426	C₂×C₄×D₇₃	C₂⁴	1	4	yes	—
427	C₂×C₄×D₇₃	C₂⁴	1	8	yes	—
428	C₂×C₄×D₇₃	C₂⁴	1	4	yes	—
429	C₂×C₄×D₇₃	C₂⁴	1	4	yes	—
430	C₂×C₄×D₇₃	C₂⁴	1	4	yes	—
431	C₂×C₄×D₇₃	C₂⁴	1	8	yes	—
432	C₂×C₄×D₇₃	C₂⁴	1	8	yes	—
433	C₂×C₄×D₇₃	C₂⁴	1	8	yes	—
434	C₂×C₄×D₇₃	C₂⁴	1	8	yes	—
435	C₂×C₄×D₇₃	C₂⁴	1	8	yes	—
436	C₂×C₄×D₇₃	C₂⁴	1	4	yes	—
437	C₄⋊Dic₇₃	C₂⁴	1	4	yes	—
438	C₄⋊Dic₇₃	C₂⁴	1	4	yes	—
439	C₄⋊Dic₇₃	C₂⁴	1	4	yes	—
440	C₄⋊Dic₇₃	C₂⁴	1	8	yes	—
441	C₄⋊Dic₇₃	C₂⁴	1	8	yes	—
442	C₄⋊Dic₇₃	C₂⁴	1	4	yes	—
443	#11924007	C₂⁴	1	8	yes	—
444	#11924007	C₂⁴	1	8	yes	—
445	#11924007	C₂⁴	1	8	yes	—
446	#11924007	C₂⁴	1	8	yes	—
447	#11924007	C₂⁴	1	4	yes	—
448	#11924007	C₂⁴	1	8	yes	—
449	#11924007	C₂⁴	1	4	yes	—
450	#11924007	C₂⁴	1	4	yes	—
451	#11924007	C₂⁴	1	8	yes	—
452	#11924007	C₂⁴	1	4	yes	—
453	C₂²⋊Dic₇₃	C₂⁴	1	8	yes	—
454	C₂²⋊Dic₇₃	C₂⁴	1	8	yes	—
455	C₂²⋊Dic₇₃	C₂⁴	1	8	yes	—
456	C₂²⋊Dic₇₃	C₂⁴	1	8	yes	—
457	C₂²⋊Dic₇₃	C₂⁴	1	8	yes	—
458	C₂²⋊Dic₇₃	C₂⁴	1	4	yes	—
459	C₂²⋊Dic₇₃	C₂⁴	1	4	yes	—
460	#11924005	C₂⁴	1	8	yes	—
461	#11924005	C₂⁴	1	4	yes	—
462	#11924005	C₂⁴	1	8	yes	—
463	#11924005	C₂⁴	1	8	yes	—
464	#11924005	C₂⁴	1	8	yes	—
465	#11924005	C₂⁴	1	4	yes	—
466	#11924005	C₂⁴	1	8	yes	—
467	#11924005	C₂⁴	1	8	yes	—
468	#11924005	C₂⁴	1	8	yes	—
469	#11924005	C₂⁴	1	8	yes	—
470	#11924005	C₂⁴	1	4	yes	—
471	#11924005	C₂⁴	1	4	yes	—
472	#11924005	C₂⁴	1	4	yes	—
473	#11924005	C₂⁴	1	8	yes	—
474	#11924005	C₂⁴	1	4	yes	—
475	C₄×Dic₇₃	C₂⁴	1	8	yes	—
476	C₄×Dic₇₃	C₂⁴	1	8	yes	—
477	C₄×Dic₇₃	C₂⁴	1	8	yes	—
478	C₄×Dic₇₃	C₂⁴	1	8	yes	—
479	C₄×Dic₇₃	C₂⁴	1	4	yes	—
480	C₄×Dic₇₃	C₂⁴	1	8	yes	—
481	C₂⁴×C₇₃	C₂⁴	1	1	yes	characteristic
482	C₂⁴×C₇₃	C₂⁴	1	2	yes	—
483	C₂⁴×C₇₃	C₂⁴	1	1	yes	characteristic
484	C₂×D₄×C₇₃	—	2	4	no	—
485	C₂×D₄×C₇₃	—	4	2	no	—
486	C₂×D₄×C₇₃	—	4	4	no	—
487	C₂×D₄×C₇₃	—	4	4	no	—
488	C₂×D₄×C₇₃	C₂⁴	1	4	yes	—
489	C₂×D₄×C₇₃	C₂⁴	1	4	yes	—
490	C₂×D₄×C₇₃	C₂⁴	1	8	yes	—
491	C₂×D₄×C₇₃	C₂⁴	1	8	yes	—
492	C₂²×C₄×C₇₃	—	2	4	no	—
493	C₂²×C₄×C₇₃	—	2	4	no	—
494	C₂²×C₄×C₇₃	—	4	4	no	—
495	C₂²×C₄×C₇₃	—	4	4	no	—
496	C₂²×C₄×C₇₃	C₂⁴	1	1	yes	characteristic
497	C₂²×C₄×C₇₃	C₂⁴	1	2	yes	—
498	C₂²×C₄×C₇₃	C₂⁴	1	1	yes	characteristic
499	C₂²×C₄×C₇₃	C₂⁴	1	2	yes	—
500	C₂²×C₄×C₇₃	C₂⁴	1	1	yes	characteristic
501	C₂²×C₄×C₇₃	C₂⁴	1	1	yes	characteristic
502	C₂²×C₄×C₇₃	C₂⁴	1	2	yes	—
503	C₂²×C₄×C₇₃	C₂⁴	1	4	yes	—
504	C₂²×C₄×C₇₃	C₂⁴	1	4	yes	—
505	C₂²×C₄×C₇₃	C₂⁴	1	8	yes	—
506	C₂²×C₄×C₇₃	C₂⁴	1	8	yes	—
507	C₂²×C₄×C₇₃	C₂⁴	1	1	yes	characteristic
508	C₄⋊C₄×C₇₃	C₂⁴	1	4	yes	—
509	C₄⋊C₄×C₇₃	C₂⁴	1	4	yes	—
510	C₄⋊C₄×C₇₃	C₂⁴	1	8	yes	—
511	C₄⋊C₄×C₇₃	C₂⁴	1	4	yes	—
512	C₄⋊C₄×C₇₃	C₂⁴	1	8	yes	—
513	C₄⋊C₄×C₇₃	C₂⁴	1	4	yes	—
514	C₄⋊C₄×C₇₃	C₂⁴	1	8	yes	—
515	C₂²⋊C₄×C₇₃	C₂⁴	1	8	yes	—
516	C₂²⋊C₄×C₇₃	C₂⁴	1	4	yes	—
517	C₂²⋊C₄×C₇₃	C₂⁴	1	8	yes	—
518	C₂²⋊C₄×C₇₃	C₂⁴	1	8	yes	—
519	C₂²⋊C₄×C₇₃	C₂⁴	1	4	yes	—
520	C₂²⋊C₄×C₇₃	C₂⁴	1	8	yes	—
521	C₄²×C₇₃	C₂⁴	1	8	yes	—
522	C₄²×C₇₃	C₂⁴	1	4	yes	—
523	C₂³×C₇₃	—	2	2	no	—
524	C₂³×C₇₃	—	2	2	no	—
525	C₂³×C₇₃	—	2	4	no	—
526	C₂³×C₇₃	—	2	2	no	—
527	C₂³×C₇₃	—	2	4	no	—
528	C₂³×C₇₃	—	2	2	no	—
529	C₂³×C₇₃	—	2	2	no	—
530	C₂³×C₇₃	—	2	4	no	—
531	C₂³×C₇₃	—	2	2	no	—
532	C₂³×C₇₃	C₂⁵	1	2	yes	—
533	C₂³×C₇₃	C₂⁵	1	4	yes	—
534	C₂³×C₇₃	C₂⁵	1	2	yes	—
535	C₂³×C₇₃	C₂⁵	1	1	yes	characteristic
536	C₂²×D₇₃	—	2	2	no	—
537	C₂²×D₇₃	—	2	2	no	—
538	C₂²×D₇₃	—	2	2	no	—
539	C₂²×D₇₃	—	2	2	no	—
540	C₂²×D₇₃	—	2	2	no	—
541	C₂²×D₇₃	—	2	4	no	—
542	C₂²×D₇₃	—	2	2	no	—
543	C₂²×D₇₃	—	2	4	no	—
544	C₂²×D₇₃	—	2	4	no	—
545	C₂²×D₇₃	—	2	2	no	—
546	C₂²×D₇₃	—	2	8	no	—
547	C₂²×D₇₃	—	2	8	no	—
548	C₂²×D₇₃	—	2	16	no	—
549	C₂²×D₇₃	—	4	4	no	—
550	C₂²×D₇₃	—	4	16	no	—
551	C₂²×D₇₃	—	4	8	no	—
552	C₂²×D₇₃	—	4	8	no	—
553	C₂²×D₇₃	—	8	16	no	—
554	C₂²×D₇₃	C₂×#41	1	4	yes	—
555	C₂²×D₇₃	H(5,𝔽₂)	1	4	yes	—
556	C₂²×D₇₃	C₂⁵	1	4	yes	—
557	C₂²×D₇₃	C₂⁵	1	2	yes	—
558	C₂²×D₇₃	C₂⁵	1	2	yes	—
559	C₂²×D₇₃	C₂⁵	1	2	yes	—
560	D₄×C₇₃	—	2	8	no	—
561	D₄×C₇₃	—	4	4	no	—
562	D₄×C₇₃	—	4	8	no	—
563	D₄×C₇₃	—	4	8	no	—
564	C₂×C₄×C₇₃	—	2	2	no	—
565	C₂×C₄×C₇₃	—	2	2	no	—
566	C₂×C₄×C₇₃	—	2	4	no	—
567	C₂×C₄×C₇₃	—	2	2	no	—
568	C₂×C₄×C₇₃	—	2	4	no	—
569	C₂×C₄×C₇₃	—	2	2	no	—
570	C₂×C₄×C₇₃	—	2	4	no	—
571	C₂×C₄×C₇₃	—	2	8	no	—
572	C₂×C₄×C₇₃	—	2	8	no	—
573	C₂×C₄×C₇₃	—	4	8	no	—
574	C₂×C₄×C₇₃	—	4	8	no	—
575	C₂×C₄×C₇₃	C₂×#41	1	4	yes	—
576	C₂×C₄×C₇₃	C₂⁵	1	2	yes	—
577	C₂×C₄×C₇₃	C₂⁵	1	4	yes	—
578	C₂×C₄×C₇₃	C₂⁵	1	2	yes	—
579	C₂×C₄×C₇₃	C₂⁵	1	4	yes	—
580	C₂×C₄×C₇₃	C₂⁵	1	2	yes	—
581	C₂×C₄×C₇₃	C₂⁵	1	2	yes	—
582	C₂×C₄×C₇₃	C₂⁵	1	4	yes	—
583	C₂×C₄×C₇₃	C₂⁵	1	2	yes	—
584	C₂²⋊D₇₃	—	2	8	no	—
585	C₂²⋊D₇₃	—	2	16	no	—
586	C₂²⋊D₇₃	—	2	8	no	—
587	C₂²⋊D₇₃	—	2	16	no	—
588	C₂²⋊D₇₃	—	2	8	no	—
589	C₂²⋊D₇₃	—	4	8	no	—
590	C₂²⋊D₇₃	—	4	4	no	—
591	C₂²⋊D₇₃	—	4	8	no	—
592	C₂²⋊D₇₃	—	4	8	no	—
593	C₂×Dic₇₃	—	2	2	no	—
594	C₂×Dic₇₃	—	2	2	no	—
595	C₂×Dic₇₃	—	2	4	no	—
596	C₂×Dic₇₃	—	2	4	no	—
597	C₂×Dic₇₃	—	2	2	no	—
598	C₂×Dic₇₃	—	2	4	no	—
599	C₂×Dic₇₃	—	2	2	no	—
600	C₂×Dic₇₃	—	2	8	no	—
601	C₂×Dic₇₃	—	4	8	no	—
602	C₂×Dic₇₃	C₂×#41	1	4	yes	—
603	C₂×Dic₇₃	C₂⁵	1	4	yes	—
604	C₂×Dic₇₃	C₂⁵	1	2	yes	—
605	C₂×Dic₇₃	C₂⁵	1	4	yes	—
606	C₂×Dic₇₃	C₂⁵	1	2	yes	—
607	C₂×Dic₇₃	C₂⁵	1	2	yes	—
608	C₂×Dic₇₃	C₂⁵	1	4	yes	—
609	C₂×Dic₇₃	C₂⁵	1	2	yes	—
610	C₂×Dic₇₃	C₂⁵	1	2	yes	—
611	D₂₉₂	—	2	8	no	—
612	D₂₉₂	—	2	16	no	—
613	D₂₉₂	—	2	8	no	—
614	D₂₉₂	—	2	8	no	—
615	D₂₉₂	—	4	8	no	—
616	C₄×D₇₃	—	2	8	no	—
617	C₄×D₇₃	—	2	16	no	—
618	C₄×D₇₃	—	2	8	no	—
619	C₄×D₇₃	—	2	8	no	—
620	C₄×D₇₃	—	2	8	no	—
621	C₄×D₇₃	—	4	8	no	—
622	C₄×D₇₃	—	4	8	no	—
623	C₄×D₇₃	—	4	8	no	—
624	C₄×D₇₃	—	4	8	no	—
625	C₄×D₇₃	—	4	8	no	—
626	C₄×D₇₃	C₂×#41	1	16	yes	complemented
627	Dic₁₄₆	—	2	8	no	—
628	Dic₁₄₆	—	4	8	no	—
629	Dic₁₄₆	—	4	8	no	—
630	C₂²×C₇₃	—	2	2	no	—
631	C₂²×C₇₃	—	2	2	no	—
632	C₂²×C₇₃	—	2	4	no	—
633	C₂²×C₇₃	—	2	2	no	—
634	C₂²×C₇₃	—	2	4	no	—
635	C₂²×C₇₃	—	2	2	no	—
636	C₂²×C₇₃	—	2	4	no	—
637	C₂²×C₇₃	—	2	2	no	—
638	C₂²×C₇₃	—	2	2	no	—
639	C₂²×C₇₃	—	4	4	no	—
640	C₂²×C₇₃	—	4	8	no	—
641	C₂²×C₇₃	—	4	4	no	—
642	C₂²×C₇₃	C₂²×#41	1	2	yes	—
643	C₂²×C₇₃	C₂×H(5,𝔽₂)	1	2	yes	—
644	C₂²×C₇₃	#585	1	2	yes	—
645	C₂²×C₇₃	C₂⁶	1	1	yes	characteristic
646	C₂×D₇₃	—	2	2	no	—
647	C₂×D₇₃	—	2	2	no	—
648	C₂×D₇₃	—	2	2	no	—
649	C₂×D₇₃	—	2	2	no	—
650	C₂×D₇₃	—	2	8	no	—
651	C₂×D₇₃	—	2	8	no	—
652	C₂×D₇₃	—	2	2	no	—
653	C₂×D₇₃	—	2	4	no	—
654	C₂×D₇₃	—	2	2	no	—
655	C₂×D₇₃	—	2	4	no	—
656	C₂×D₇₃	—	2	4	no	—
657	C₂×D₇₃	—	2	2	no	—
658	C₂×D₇₃	—	4	16	no	—
659	C₂×D₇₃	—	4	4	no	—
660	C₂×D₇₃	—	4	8	no	—
661	C₂×D₇₃	—	8	16	no	—
662	C₂×D₇₃	C₂²×#41	1	4	yes	—
663	C₂×D₇₃	C₂×H(5,𝔽₂)	1	4	yes	—
664	C₄×C₇₃	—	2	2	no	—
665	C₄×C₇₃	—	2	2	no	—
666	C₄×C₇₃	—	2	2	no	—
667	C₄×C₇₃	—	2	4	no	—
668	C₄×C₇₃	—	2	4	no	—
669	C₄×C₇₃	—	2	2	no	—
670	C₄×C₇₃	—	2	4	no	—
671	C₄×C₇₃	C₂²×#41	1	4	yes	—
672	Dic₇₃	—	2	2	no	—
673	Dic₇₃	—	2	2	no	—
674	Dic₇₃	—	2	4	no	—
675	Dic₇₃	—	2	2	no	—
676	Dic₇₃	—	2	4	no	—
677	Dic₇₃	—	2	4	no	—
678	Dic₇₃	—	2	2	no	—
679	Dic₇₃	C₂²×#41	1	4	yes	—
680	C₂×#3494	—	73	1	no	maximal, Sylow
681	C₂×C₇₃	—	4	2	no	—
682	C₂×C₇₃	—	4	4	no	—
683	C₂×C₇₃	—	4	2	no	—
684	C₂×C₇₃	#3494	1	4	yes	complemented
685	C₂×C₇₃	C₂³×#41	1	1	yes	characteristic
686	C₂×C₇₃	C₂²×H(5,𝔽₂)	1	1	yes	characteristic
687	C₂×C₇₃	C₂×#585	1	1	yes	characteristic
688	D₇₃	—	2	4	no	—
689	D₇₃	—	2	4	no	—
690	D₇₃	—	4	2	no	—
691	D₇₃	—	4	4	no	—
692	#3494	—	73	32	no	—
693	C₂×#555	—	73	1	no	—
694	C₂×#555	—	73	1	no	—
695	C₂×#553	—	73	1	no	—
696	C₂×#553	—	73	1	no	—
697	C₂×#553	—	73	1	no	—
698	C₂×#553	D₇₃	1	1	yes	characteristic, complemented
699	C₂×#551	—	73	2	no	—
700	C₂×#551	—	73	2	no	—
701	C₂×#547	—	73	1	no	—
702	C₂×#547	—	73	1	no	—
703	C₂×#546	—	73	2	no	—
704	C₂×#546	—	73	2	no	—
705	C₂×#544	—	73	1	no	—
706	C₂×#542	—	73	2	no	—
707	C₂×#540	—	73	2	no	—
708	C₂×#535	—	73	1	no	—
709	C₂×#532	—	73	2	no	—
710	C₂×#529	—	73	2	no	—
711	C₂×#525	—	73	1	no	—
712	C₂²×#121	—	73	1	no	—
713	C₂×#520	—	73	1	no	—
714	C₂×#518	—	73	1	no	—
715	C₂²×#117	—	73	1	no	—
716	C₇₃	C₂×#3494	1	1	yes	characteristic, complemented, Sylow
717	C₂²×#41	—	73	2	no	—
718	C₂²×#41	—	73	2	no	—
719	C₂²×#41	—	73	1	no	—
720	C₂³×D₄	—	73	2	no	—
721	C₂³×D₄	—	73	1	no	—
722	C₂⁴×C₄	—	73	1	no	—
723	#555	—	73	16	no	—
724	#555	—	73	16	no	—
725	#553	—	73	16	no	—
726	#553	—	73	16	no	—
727	#553	—	73	16	no	—
728	#553	C₂×D₇₃	1	16	yes	complemented
729	#551	—	73	32	no	—
730	#551	—	73	32	no	—
731	#547	—	73	16	no	—
732	#547	—	73	16	no	—
733	#546	—	73	32	no	—
734	#546	—	73	32	no	—
735	#544	—	73	16	no	—
736	#542	—	73	32	no	—
737	#540	—	73	32	no	—
738	#535	—	73	16	no	—
739	#532	—	73	32	no	—
740	C₂×C₄⋊Q₈	—	73	2	no	—
741	C₂×C₄⋊Q₈	—	73	1	no	—
742	C₂×C₄⋊Q₈	—	73	1	no	—
743	C₂×#127	—	73	2	no	—
744	#529	—	73	32	no	—
745	C₂×#126	—	73	2	no	—
746	C₂×#126	—	73	2	no	—
747	C₂×#126	—	73	2	no	—
748	C₂×#126	C₂×D₇₃	1	2	yes	complemented
749	C₂×#125	—	73	2	no	—
750	C₂×#125	—	73	1	no	—
751	C₂×#125	C₂×D₇₃	1	1	yes	characteristic, complemented
752	C₂×#124	—	73	2	no	—
753	C₂×#124	—	73	2	no	—
754	C₂×#124	—	73	2	no	—
755	C₂×#124	—	73	2	no	—
756	C₂×#124	—	73	2	no	—
757	#525	—	73	16	no	—
758	C₂×#123	—	73	2	no	—
759	C₂×#123	—	73	2	no	—
760	C₂×#123	—	73	1	no	—
761	C₂×#123	—	73	2	no	—
762	C₂×#123	—	73	2	no	—
763	C₂×#123	—	73	1	no	—
764	C₂×#123	—	73	2	no	—
765	C₂×#123	—	73	2	no	—
766	C₂×#123	—	73	2	no	—
767	C₂×#123	C₂×D₇₃	1	2	yes	complemented
768	C₂×C₂²⋊Q₈	—	73	2	no	—
769	C₂×C₂²⋊Q₈	—	73	1	no	—
770	C₂×C₂²⋊Q₈	—	73	2	no	—
771	C₂×C₂²⋊Q₈	—	73	2	no	—
772	C₂×C₂²⋊Q₈	—	73	2	no	—
773	C₂×C₂²⋊Q₈	—	73	1	no	—
774	C₂×#121	—	73	2	no	—
775	C₂×#121	—	73	1	no	—
776	C₂×#121	—	73	1	no	—
777	C₂×#121	—	73	2	no	—
778	C₂×#121	—	73	1	no	—
779	C₂×#121	—	73	2	no	—
780	C₂×#121	—	73	2	no	—
781	C₂×#121	—	73	1	no	—
782	C₂×#121	—	73	1	no	—
783	C₂×#121	—	73	16	no	—
784	C₂×#121	—	73	1	no	—
785	C₂×#121	—	73	2	no	—
786	C₂×#121	—	73	1	no	—
787	C₂×#121	—	73	2	no	—
788	C₂×#121	—	73	1	no	—
789	C₂×#121	—	73	2	no	—
790	C₂×#121	C₂×D₇₃	1	1	yes	characteristic
791	C₂×#121	C₂×D₇₃	1	1	yes	characteristic, complemented
792	C₂×#121	C₂×D₇₃	1	2	yes	complemented
793	C₂×#120	—	73	1	no	—
794	C₂×#120	—	73	2	no	—
795	C₂×#120	—	73	1	no	—
796	C₂×#120	—	73	2	no	—
797	#520	—	73	16	no	—
798	#518	—	73	16	no	—
799	C₂×C₄×Q₈	—	73	2	no	—
800	C₂×C₄×D₄	—	73	1	no	—
801	C₂×C₄×D₄	—	73	2	no	—
802	C₂×C₄×D₄	—	73	2	no	—
803	C₂×C₄×D₄	—	73	2	no	—
804	C₂×C₄×D₄	—	73	1	no	—
805	C₂×C₄×D₄	—	73	1	no	—
806	C₂×C₄×D₄	—	73	1	no	—
807	C₂×C₄×D₄	—	73	2	no	—
808	C₂×C₄×D₄	—	73	2	no	—
809	C₂×C₄×D₄	—	73	2	no	—
810	C₂×C₄×D₄	—	73	2	no	—
811	C₂×C₄×D₄	—	73	1	no	—
812	C₂×C₄×D₄	—	73	1	no	—
813	C₂×C₄×D₄	—	73	2	no	—
814	C₂×C₄×D₄	C₂×D₇₃	1	1	yes	characteristic, complemented
815	C₂×C₄×D₄	C₂×D₇₃	1	1	yes	characteristic, complemented
816	C₂×C₄×D₄	C₂×D₇₃	1	2	yes	complemented
817	C₂×#117	—	73	1	no	—
818	C₂×#117	—	73	1	no	—
819	C₂×#117	—	73	16	no	—
820	C₂×#117	—	73	1	no	—
821	C₂×#117	—	73	1	no	—
822	C₂×#117	—	73	1	no	—
823	C₂×#117	—	73	2	no	—
824	C₂×#117	—	73	2	no	—
825	C₂×#117	—	73	2	no	—
826	C₂×#117	—	73	2	no	—
827	C₂×#117	—	73	1	no	—
828	C₂×#117	C₂×D₇₃	1	1	yes	characteristic, complemented
829	C₂²×C₄⋊C₄	—	73	1	no	—
830	C₂²×C₄⋊C₄	—	73	1	no	—
831	C₂²×C₄⋊C₄	—	73	1	no	—
832	C₂²×C₄⋊C₄	—	73	1	no	—
833	C₂²×C₄⋊C₄	C₂×D₇₃	1	1	yes	characteristic, complemented
834	C₂²×C₂²⋊C₄	—	73	2	no	—
835	C₂²×C₂²⋊C₄	—	73	2	no	—
836	C₂²×C₂²⋊C₄	—	73	2	no	—
837	C₂²×C₂²⋊C₄	—	73	2	no	—
838	C₂²×C₄²	—	73	2	no	—
839	C₂⁵	—	73	2	no	—
840	C₂⁵	—	73	1	no	—
841	C₂×#41	—	292	8	no	—
842	C₂×#41	—	292	8	no	—
843	C₂×#41	—	73	16	no	—
844	C₂×#41	—	73	16	no	—
845	C₂×#41	—	73	8	no	—
846	C₂×#41	—	146	8	no	—
847	C₂²×Q₈	—	73	2	no	—
848	C₂²×Q₈	—	73	2	no	—
849	C₂²×Q₈	—	73	1	no	—
850	C₂²×D₄	—	292	8	no	—
851	C₂²×D₄	—	73	1	no	—
852	C₂²×D₄	—	73	2	no	—
853	C₂²×D₄	—	73	2	no	—
854	C₂²×D₄	—	73	2	no	—
855	C₂²×D₄	—	73	16	no	—
856	C₂²×D₄	—	73	1	no	—
857	C₂²×D₄	—	73	2	no	—
858	C₂²×D₄	—	73	1	no	—
859	C₂²×D₄	—	73	1	no	—
860	C₂²×D₄	—	73	2	no	—
861	C₂²×D₄	—	73	8	no	—
862	C₂²×D₄	—	73	2	no	—
863	C₂²×D₄	—	73	1	no	—
864	C₂²×D₄	—	73	1	no	—
865	C₂²×D₄	—	73	1	no	—
866	C₂²×D₄	—	73	2	no	—
867	C₂²×D₄	—	146	8	no	—
868	C₂²×D₄	C₂²×D₇₃	1	1	yes	characteristic
869	C₂²×D₄	C₂²×D₇₃	1	1	yes	characteristic
870	C₂²×D₄	C₂²×D₇₃	1	2	yes	—
871	C₂²×D₄	C₂²×D₇₃	1	2	yes	—
872	C₂³×C₄	—	73	2	no	—
873	C₂³×C₄	—	73	2	no	—
874	C₂³×C₄	—	73	2	no	—
875	C₂³×C₄	—	73	2	no	—
876	C₂³×C₄	—	73	2	no	—
877	C₂³×C₄	—	73	2	no	—
878	C₂³×C₄	—	73	1	no	—
879	C₂³×C₄	—	73	1	no	—
880	C₂³×C₄	—	73	1	no	—
881	C₂³×C₄	—	73	2	no	—
882	C₂³×C₄	—	73	1	no	—
883	C₂³×C₄	—	73	1	no	—
884	C₂³×C₄	—	73	8	no	—
885	C₂³×C₄	—	73	1	no	—
886	C₂³×C₄	—	146	8	no	—
887	C₂³×C₄	C₂²×D₇₃	1	1	yes	characteristic
888	C₂³×C₄	C₂²×D₇₃	1	1	yes	characteristic
889	C₂³×C₄	C₂²×D₇₃	1	2	yes	—
890	C₂³×C₄	C₂²×D₇₃	1	2	yes	—
891	C₄⋊Q₈	—	73	16	no	—
892	C₄⋊Q₈	—	73	8	no	—
893	C₄⋊Q₈	—	73	8	no	—
894	#127	—	73	16	no	—
895	#126	—	73	16	no	—
896	#126	—	73	16	no	—
897	#126	—	73	16	no	—
898	#126	C₂²×D₇₃	1	16	yes	complemented
899	#125	—	73	16	no	—
900	#125	—	73	8	no	—
901	#125	C₂²×D₇₃	1	8	yes	complemented
902	#124	—	73	16	no	—
903	#124	—	73	16	no	—
904	#124	—	73	16	no	—
905	#124	—	73	16	no	—
906	#124	—	73	16	no	—
907	#123	—	73	16	no	—
908	#123	—	73	16	no	—
909	#123	—	73	8	no	—
910	#123	—	73	16	no	—
911	#123	—	73	16	no	—
912	#123	—	73	8	no	—
913	#123	—	73	16	no	—
914	#123	—	73	16	no	—
915	#123	—	73	16	no	—
916	#123	C₂²×D₇₃	1	16	yes	complemented
917	C₂²⋊Q₈	—	73	16	no	—
918	C₂²⋊Q₈	—	73	8	no	—
919	C₂²⋊Q₈	—	73	16	no	—
920	C₂²⋊Q₈	—	73	16	no	—
921	C₂²⋊Q₈	—	73	16	no	—
922	C₂²⋊Q₈	—	73	8	no	—
923	#121	—	73	16	no	—
924	#121	—	73	8	no	—
925	#121	—	73	8	no	—
926	#121	—	73	16	no	—
927	#121	—	73	8	no	—
928	#121	—	73	16	no	—
929	#121	—	73	16	no	—
930	#121	—	73	8	no	—
931	#121	—	73	8	no	—
932	#121	—	73	8	no	—
933	#121	—	73	16	no	—
934	#121	—	73	8	no	—
935	#121	—	73	16	no	—
936	#121	—	73	8	no	—
937	#121	—	73	16	no	—
938	#121	C₂²×D₇₃	1	8	yes	—
939	#121	C₂²×D₇₃	1	8	yes	complemented
940	#121	C₂²×D₇₃	1	16	yes	complemented
941	#120	—	73	8	no	—
942	#120	—	73	16	no	—
943	#120	—	73	8	no	—
944	#120	—	73	16	no	—
945	C₄×Q₈	—	73	16	no	—
946	C₄×D₄	—	73	8	no	—
947	C₄×D₄	—	73	16	no	—
948	C₄×D₄	—	73	16	no	—
949	C₄×D₄	—	73	16	no	—
950	C₄×D₄	—	73	8	no	—
951	C₄×D₄	—	73	8	no	—
952	C₄×D₄	—	73	8	no	—
953	C₄×D₄	—	73	16	no	—
954	C₄×D₄	—	73	16	no	—
955	C₄×D₄	—	73	16	no	—
956	C₄×D₄	—	73	16	no	—
957	C₄×D₄	—	73	8	no	—
958	C₄×D₄	—	73	8	no	—
959	C₄×D₄	—	73	16	no	—
960	C₄×D₄	C₂²×D₇₃	1	8	yes	complemented
961	C₄×D₄	C₂²×D₇₃	1	8	yes	complemented
962	C₄×D₄	C₂²×D₇₃	1	16	yes	complemented
963	#117	—	73	8	no	—
964	#117	—	73	8	no	—
965	#117	—	73	8	no	—
966	#117	—	73	8	no	—
967	#117	—	73	8	no	—
968	#117	—	73	16	no	—
969	#117	—	73	16	no	—
970	#117	—	73	16	no	—
971	#117	—	73	16	no	—
972	#117	—	73	8	no	—
973	#117	C₂²×D₇₃	1	8	yes	complemented
974	C₂×C₄⋊C₄	—	73	1	no	—
975	C₂×C₄⋊C₄	—	73	1	no	—
976	C₂×C₄⋊C₄	—	73	1	no	—
977	C₂×C₄⋊C₄	—	73	2	no	—
978	C₂×C₄⋊C₄	—	73	2	no	—
979	C₂×C₄⋊C₄	—	73	2	no	—
980	C₂×C₄⋊C₄	—	73	2	no	—
981	C₂×C₄⋊C₄	—	73	1	no	—
982	C₂×C₄⋊C₄	—	73	1	no	—
983	C₂×C₄⋊C₄	—	73	1	no	—
984	C₂×C₄⋊C₄	—	73	2	no	—
985	C₂×C₄⋊C₄	—	73	2	no	—
986	C₂×C₄⋊C₄	—	73	2	no	—
987	C₂×C₄⋊C₄	—	73	2	no	—
988	C₂×C₄⋊C₄	—	73	1	no	—
989	C₂×C₄⋊C₄	—	73	1	no	—
990	C₂×C₄⋊C₄	—	73	8	no	—
991	C₂×C₄⋊C₄	—	73	8	no	—
992	C₂×C₄⋊C₄	—	73	8	no	—
993	C₂×C₄⋊C₄	—	73	8	no	—
994	C₂×C₄⋊C₄	C₂²×D₇₃	1	1	yes	characteristic
995	C₂×C₄⋊C₄	C₂²×D₇₃	1	1	yes	characteristic
996	C₂×C₄⋊C₄	C₂²×D₇₃	1	1	yes	characteristic
997	C₂×C₄⋊C₄	C₂²×D₇₃	1	2	yes	—
998	C₂×C₄⋊C₄	C₂²×D₇₃	1	1	yes	characteristic
999	C₂×C₄⋊C₄	C₂²×D₇₃	1	2	yes	—
1000	C₂×C₄⋊C₄	C₂²×D₇₃	1	2	yes	—
1001	C₂×C₄⋊C₄	C₂²×D₇₃	1	8	yes	complemented
1002	C₂×C₂²⋊C₄	—	73	2	no	—
1003	C₂×C₂²⋊C₄	—	73	2	no	—
1004	C₂×C₂²⋊C₄	—	73	2	no	—
1005	C₂×C₂²⋊C₄	—	73	2	no	—
1006	C₂×C₂²⋊C₄	—	73	2	no	—
1007	C₂×C₂²⋊C₄	—	73	1	no	—
1008	C₂×C₂²⋊C₄	—	73	1	no	—
1009	C₂×C₂²⋊C₄	—	73	2	no	—
1010	C₂×C₂²⋊C₄	—	73	1	no	—
1011	C₂×C₂²⋊C₄	—	73	1	no	—
1012	C₂×C₂²⋊C₄	—	73	2	no	—
1013	C₂×C₂²⋊C₄	—	73	2	no	—
1014	C₂×C₂²⋊C₄	—	73	2	no	—
1015	C₂×C₂²⋊C₄	—	73	2	no	—
1016	C₂×C₂²⋊C₄	—	73	16	no	—
1017	C₂×C₂²⋊C₄	—	73	2	no	—
1018	C₂×C₂²⋊C₄	—	73	2	no	—
1019	C₂×C₂²⋊C₄	—	73	2	no	—
1020	C₂×C₂²⋊C₄	—	73	1	no	—
1021	C₂×C₂²⋊C₄	—	73	1	no	—
1022	C₂×C₂²⋊C₄	—	73	1	no	—
1023	C₂×C₂²⋊C₄	—	73	2	no	—
1024	C₂×C₂²⋊C₄	—	73	1	no	—
1025	C₂×C₂²⋊C₄	—	73	16	no	—
1026	C₂×C₂²⋊C₄	—	73	16	no	—
1027	C₂×C₂²⋊C₄	—	73	16	no	—
1028	C₂×C₂²⋊C₄	C₂²×D₇₃	1	2	yes	—
1029	C₂×C₂²⋊C₄	C₂²×D₇₃	1	2	yes	—
1030	C₂×C₂²⋊C₄	C₂²×D₇₃	1	2	yes	—
1031	C₂×C₂²⋊C₄	C₂²×D₇₃	1	2	yes	—
1032	C₂×C₂²⋊C₄	C₂²×D₇₃	1	1	yes	characteristic
1033	C₂×C₂²⋊C₄	C₂²×D₇₃	1	1	yes	characteristic
1034	C₂×C₄²	—	73	2	no	—
1035	C₂×C₄²	—	73	2	no	—
1036	C₂×C₄²	—	73	2	no	—
1037	C₂×C₄²	—	73	2	no	—
1038	C₂×C₄²	—	73	2	no	—
1039	C₂×C₄²	—	73	1	no	—
1040	C₂×C₄²	—	73	16	no	—
1041	C₂×C₄²	C₂²×D₇₃	1	2	yes	—
1042	C₂×C₄²	C₂²×D₇₃	1	1	yes	characteristic
1043	C₂⁴	—	292	2	no	—
1044	C₂⁴	—	292	4	no	—
1045	C₂⁴	—	292	4	no	—
1046	C₂⁴	—	73	8	no	—
1047	C₂⁴	—	73	4	no	—
1048	C₂⁴	—	73	1	no	—
1049	C₂⁴	—	73	1	no	—
1050	C₂⁴	—	73	2	no	—
1051	C₂⁴	—	73	1	no	—
1052	C₂⁴	—	146	4	no	—
1053	C₂⁴	—	146	4	no	—
1054	C₂⁴	—	146	8	no	—
1055	C₂⁴	C₂³×D₇₃	1	1	yes	characteristic
1056	C₂⁴	C₂³×D₇₃	1	2	yes	—
1057	C₂⁴	C₂³×D₇₃	1	1	yes	characteristic
1058	#41	—	292	32	no	—
1059	#41	—	292	32	no	—
1060	#41	—	146	32	no	—
1061	C₂×Q₈	—	292	4	no	—
1062	C₂×Q₈	—	292	4	no	—
1063	C₂×Q₈	—	73	8	no	—
1064	C₂×Q₈	—	73	8	no	—
1065	C₂×Q₈	—	73	4	no	—
1066	C₂×Q₈	—	146	4	no	—
1067	C₂×D₄	—	2	4	no	—
1068	C₂×D₄	—	4	4	no	—
1069	C₂×D₄	—	4	2	no	—
1070	C₂×D₄	—	4	4	no	—
1071	C₂×D₄	—	292	4	no	—
1072	C₂×D₄	—	292	32	no	—
1073	C₂×D₄	—	292	4	no	—
1074	C₂×D₄	—	292	2	no	—
1075	C₂×D₄	—	292	4	no	—
1076	C₂×D₄	—	292	4	no	—
1077	C₂×D₄	—	73	4	no	—
1078	C₂×D₄	—	73	8	no	—
1079	C₂×D₄	—	73	8	no	—
1080	C₂×D₄	—	73	8	no	—
1081	C₂×D₄	—	73	4	no	—
1082	C₂×D₄	—	73	8	no	—
1083	C₂×D₄	—	73	4	no	—
1084	C₂×D₄	—	73	4	no	—
1085	C₂×D₄	—	73	8	no	—
1086	C₂×D₄	—	73	8	no	—
1087	C₂×D₄	—	73	4	no	—
1088	C₂×D₄	—	73	4	no	—
1089	C₂×D₄	—	73	4	no	—
1090	C₂×D₄	—	73	8	no	—
1091	C₂×D₄	—	146	8	no	—
1092	C₂×D₄	—	146	4	no	—
1093	C₂×D₄	—	146	4	no	—
1094	C₂×D₄	—	146	32	no	—
1095	C₂×D₄	—	146	8	no	—
1096	C₂×D₄	—	146	4	no	—
1097	C₂×D₄	—	146	8	no	—
1098	C₂×D₄	—	146	4	no	—
1099	C₂×D₄	—	146	4	no	—
1100	C₂×D₄	—	146	4	no	—
1101	C₂×D₄	C₂³×D₇₃	1	4	yes	—
1102	C₂×D₄	C₂³×D₇₃	1	4	yes	—
1103	C₂×D₄	C₂³×D₇₃	1	8	yes	—
1104	C₂×D₄	C₂³×D₇₃	1	8	yes	—
1105	C₂²×C₄	—	2	4	no	—
1106	C₂²×C₄	—	2	4	no	—
1107	C₂²×C₄	—	4	4	no	—
1108	C₂²×C₄	—	4	4	no	—
1109	C₂²×C₄	—	292	4	no	—
1110	C₂²×C₄	—	292	4	no	—
1111	C₂²×C₄	—	292	4	no	—
1112	C₂²×C₄	—	292	4	no	—
1113	C₂²×C₄	—	292	4	no	—
1114	C₂²×C₄	—	292	4	no	—
1115	C₂²×C₄	—	73	8	no	—
1116	C₂²×C₄	—	73	8	no	—
1117	C₂²×C₄	—	73	8	no	—
1118	C₂²×C₄	—	73	8	no	—
1119	C₂²×C₄	—	73	8	no	—
1120	C₂²×C₄	—	73	8	no	—
1121	C₂²×C₄	—	73	1	no	—
1122	C₂²×C₄	—	73	8	no	—
1123	C₂²×C₄	—	73	4	no	—
1124	C₂²×C₄	—	73	4	no	—
1125	C₂²×C₄	—	73	2	no	—
1126	C₂²×C₄	—	73	1	no	—
1127	C₂²×C₄	—	73	2	no	—
1128	C₂²×C₄	—	73	1	no	—
1129	C₂²×C₄	—	73	1	no	—
1130	C₂²×C₄	—	73	2	no	—
1131	C₂²×C₄	—	73	1	no	—
1132	C₂²×C₄	—	73	4	no	—
1133	C₂²×C₄	—	73	8	no	—
1134	C₂²×C₄	—	73	4	no	—
1135	C₂²×C₄	—	73	4	no	—
1136	C₂²×C₄	—	73	4	no	—
1137	C₂²×C₄	—	146	4	no	—
1138	C₂²×C₄	—	146	32	no	—
1139	C₂²×C₄	—	146	4	no	—
1140	C₂²×C₄	—	146	8	no	—
1141	C₂²×C₄	—	146	4	no	—
1142	C₂²×C₄	—	146	4	no	—
1143	C₂²×C₄	—	146	4	no	—
1144	C₂²×C₄	C₂³×D₇₃	1	4	yes	—
1145	C₂²×C₄	C₂³×D₇₃	1	4	yes	—
1146	C₂²×C₄	C₂³×D₇₃	1	1	yes	characteristic
1147	C₂²×C₄	C₂³×D₇₃	1	1	yes	characteristic
1148	C₂²×C₄	C₂³×D₇₃	1	2	yes	—
1149	C₂²×C₄	C₂³×D₇₃	1	2	yes	—
1150	C₂²×C₄	C₂³×D₇₃	1	2	yes	—
1151	C₂²×C₄	C₂³×D₇₃	1	1	yes	characteristic
1152	C₂²×C₄	C₂³×D₇₃	1	1	yes	characteristic
1153	C₂²×C₄	C₂³×D₇₃	1	8	yes	—
1154	C₂²×C₄	C₂³×D₇₃	1	8	yes	—
1155	C₂²×C₄	C₂³×D₇₃	1	1	yes	characteristic
1156	C₄⋊C₄	—	73	8	no	—
1157	C₄⋊C₄	—	73	8	no	—
1158	C₄⋊C₄	—	73	8	no	—
1159	C₄⋊C₄	—	73	8	no	—
1160	C₄⋊C₄	—	73	4	no	—
1161	C₄⋊C₄	—	73	4	no	—
1162	C₄⋊C₄	—	73	4	no	—
1163	C₄⋊C₄	—	73	8	no	—
1164	C₄⋊C₄	—	73	8	no	—
1165	C₄⋊C₄	—	73	4	no	—
1166	C₄⋊C₄	—	73	4	no	—
1167	C₄⋊C₄	—	73	4	no	—
1168	C₄⋊C₄	—	73	4	no	—
1169	C₄⋊C₄	—	73	8	no	—
1170	C₄⋊C₄	—	73	8	no	—
1171	C₄⋊C₄	—	73	4	no	—
1172	C₄⋊C₄	C₂³×D₇₃	1	4	yes	—
1173	C₄⋊C₄	C₂³×D₇₃	1	4	yes	—
1174	C₄⋊C₄	C₂³×D₇₃	1	4	yes	—
1175	C₄⋊C₄	C₂³×D₇₃	1	8	yes	—
1176	C₄⋊C₄	C₂³×D₇₃	1	4	yes	—
1177	C₄⋊C₄	C₂³×D₇₃	1	8	yes	—
1178	C₄⋊C₄	C₂³×D₇₃	1	8	yes	—
1179	C₂²⋊C₄	—	73	8	no	—
1180	C₂²⋊C₄	—	73	8	no	—
1181	C₂²⋊C₄	—	73	8	no	—
1182	C₂²⋊C₄	—	73	8	no	—
1183	C₂²⋊C₄	—	73	8	no	—
1184	C₂²⋊C₄	—	73	4	no	—
1185	C₂²⋊C₄	—	73	4	no	—
1186	C₂²⋊C₄	—	73	8	no	—
1187	C₂²⋊C₄	—	73	4	no	—
1188	C₂²⋊C₄	—	73	4	no	—
1189	C₂²⋊C₄	—	73	8	no	—
1190	C₂²⋊C₄	—	73	8	no	—
1191	C₂²⋊C₄	—	73	8	no	—
1192	C₂²⋊C₄	—	73	8	no	—
1193	C₂²⋊C₄	—	73	8	no	—
1194	C₂²⋊C₄	—	73	8	no	—
1195	C₂²⋊C₄	—	73	8	no	—
1196	C₂²⋊C₄	—	73	4	no	—
1197	C₂²⋊C₄	—	73	4	no	—
1198	C₂²⋊C₄	—	73	4	no	—
1199	C₂²⋊C₄	—	73	8	no	—
1200	C₂²⋊C₄	—	73	4	no	—
1201	C₂²⋊C₄	C₂³×D₇₃	1	8	yes	—
1202	C₂²⋊C₄	C₂³×D₇₃	1	8	yes	—
1203	C₂²⋊C₄	C₂³×D₇₃	1	8	yes	—
1204	C₂²⋊C₄	C₂³×D₇₃	1	8	yes	—
1205	C₂²⋊C₄	C₂³×D₇₃	1	4	yes	—
1206	C₂²⋊C₄	C₂³×D₇₃	1	4	yes	—
1207	C₄²	—	73	8	no	—
1208	C₄²	—	73	8	no	—
1209	C₄²	—	73	8	no	—
1210	C₄²	—	73	8	no	—
1211	C₄²	—	73	8	no	—
1212	C₄²	—	73	4	no	—
1213	C₄²	C₂³×D₇₃	1	8	yes	—
1214	C₄²	C₂³×D₇₃	1	4	yes	—
1215	C₂³	—	2	2	no	—
1216	C₂³	—	2	2	no	—
1217	C₂³	—	2	4	no	—
1218	C₂³	—	2	2	no	—
1219	C₂³	—	2	4	no	—
1220	C₂³	—	2	2	no	—
1221	C₂³	—	2	4	no	—
1222	C₂³	—	2	2	no	—
1223	C₂³	—	2	2	no	—
1224	C₂³	—	292	4	no	—
1225	C₂³	—	292	8	no	—
1226	C₂³	—	292	8	no	—
1227	C₂³	—	292	16	no	—
1228	C₂³	—	584	16	no	—
1229	C₂³	—	73	4	no	—
1230	C₂³	—	73	4	no	—
1231	C₂³	—	73	2	no	—
1232	C₂³	—	73	2	no	—
1233	C₂³	—	73	4	no	—
1234	C₂³	—	73	2	no	—
1235	C₂³	—	146	8	no	—
1236	C₂³	—	146	8	no	—
1237	C₂³	—	146	16	no	—
1238	C₂³	—	146	2	no	—
1239	C₂³	—	146	4	no	—
1240	C₂³	—	146	2	no	—
1241	C₂³	—	146	4	no	—
1242	C₂³	—	146	4	no	—
1243	C₂³	—	146	2	no	—
1244	C₂³	—	146	2	no	—
1245	C₂³	—	146	2	no	—
1246	C₂³	—	146	2	no	—
1247	C₂³	—	146	2	no	—
1248	C₂³	C₂⁴×D₇₃	1	2	yes	—
1249	C₂³	C₂⁴×D₇₃	1	4	yes	—
1250	C₂³	C₂⁴×D₇₃	1	2	yes	—
1251	C₂³	C₂⁴×D₇₃	1	1	yes	characteristic
1252	Q₈	—	292	8	no	—
1253	Q₈	—	292	8	no	—
1254	Q₈	—	146	8	no	—
1255	D₄	—	2	8	no	—
1256	D₄	—	4	8	no	—
1257	D₄	—	4	4	no	—
1258	D₄	—	4	8	no	—
1259	D₄	—	292	8	no	—
1260	D₄	—	292	8	no	—
1261	D₄	—	292	8	no	—
1262	D₄	—	292	8	no	—
1263	D₄	—	292	4	no	—
1264	D₄	—	146	16	no	—
1265	D₄	—	146	8	no	—
1266	D₄	—	146	8	no	—
1267	D₄	—	146	16	no	—
1268	D₄	—	146	8	no	—
1269	D₄	—	146	16	no	—
1270	D₄	—	146	8	no	—
1271	D₄	—	146	8	no	—
1272	D₄	—	146	8	no	—
1273	C₂×C₄	—	2	2	no	—
1274	C₂×C₄	—	2	2	no	—
1275	C₂×C₄	—	2	4	no	—
1276	C₂×C₄	—	2	2	no	—
1277	C₂×C₄	—	2	4	no	—
1278	C₂×C₄	—	2	2	no	—
1279	C₂×C₄	—	2	4	no	—
1280	C₂×C₄	—	2	8	no	—
1281	C₂×C₄	—	2	8	no	—
1282	C₂×C₄	—	4	8	no	—
1283	C₂×C₄	—	4	8	no	—
1284	C₂×C₄	—	292	8	no	—
1285	C₂×C₄	—	292	8	no	—
1286	C₂×C₄	—	292	8	no	—
1287	C₂×C₄	—	292	8	no	—
1288	C₂×C₄	—	292	8	no	—
1289	C₂×C₄	—	292	8	no	—
1290	C₂×C₄	—	73	4	no	—
1291	C₂×C₄	—	73	2	no	—
1292	C₂×C₄	—	73	16	no	—
1293	C₂×C₄	—	73	4	no	—
1294	C₂×C₄	—	73	2	no	—
1295	C₂×C₄	—	73	4	no	—
1296	C₂×C₄	—	73	2	no	—
1297	C₂×C₄	—	73	2	no	—
1298	C₂×C₄	—	73	4	no	—
1299	C₂×C₄	—	73	2	no	—
1300	C₂×C₄	—	146	8	no	—
1301	C₂×C₄	—	146	8	no	—
1302	C₂×C₄	—	146	16	no	—
1303	C₂×C₄	—	146	8	no	—
1304	C₂×C₄	—	146	2	no	—
1305	C₂×C₄	—	146	2	no	—
1306	C₂×C₄	—	146	4	no	—
1307	C₂×C₄	—	146	2	no	—
1308	C₂×C₄	—	146	4	no	—
1309	C₂×C₄	—	146	4	no	—
1310	C₂×C₄	—	146	2	no	—
1311	C₂×C₄	—	146	8	no	—
1312	C₂×C₄	—	146	8	no	—
1313	C₂×C₄	#41×D₇₃	1	4	yes	—
1314	C₂×C₄	C₂⁴×D₇₃	1	2	yes	—
1315	C₂×C₄	C₂⁴×D₇₃	1	2	yes	—
1316	C₂×C₄	C₂⁴×D₇₃	1	4	yes	—
1317	C₂×C₄	C₂⁴×D₇₃	1	4	yes	—
1318	C₂×C₄	C₂⁴×D₇₃	1	4	yes	—
1319	C₂×C₄	C₂⁴×D₇₃	1	2	yes	—
1320	C₂×C₄	C₂⁴×D₇₃	1	2	yes	—
1321	C₂×C₄	C₂⁴×D₇₃	1	2	yes	—
1322	C₂²	—	2	2	no	—
1323	C₂²	—	2	2	no	—
1324	C₂²	—	2	4	no	—
1325	C₂²	—	2	2	no	—
1326	C₂²	—	2	4	no	—
1327	C₂²	—	2	2	no	—
1328	C₂²	—	2	4	no	—
1329	C₂²	—	2	2	no	—
1330	C₂²	—	2	2	no	—
1331	C₂²	—	4	4	no	—
1332	C₂²	—	4	8	no	—
1333	C₂²	—	4	4	no	—
1334	C₂²	—	292	16	no	—
1335	C₂²	—	292	8	no	—
1336	C₂²	—	292	4	no	—
1337	C₂²	—	584	16	no	—
1338	C₂²	—	73	4	no	—
1339	C₂²	—	73	4	no	—
1340	C₂²	—	146	2	no	—
1341	C₂²	—	146	4	no	—
1342	C₂²	—	146	2	no	—
1343	C₂²	—	146	4	no	—
1344	C₂²	—	146	4	no	—
1345	C₂²	—	146	2	no	—
1346	C₂²	—	146	8	no	—
1347	C₂²	—	146	8	no	—
1348	C₂²	—	146	2	no	—
1349	C₂²	—	146	2	no	—
1350	C₂²	—	146	2	no	—
1351	C₂²	—	146	2	no	—
1352	C₂²	C₂×#41×D₇₃	1	2	yes	—
1353	C₂²	H(5,𝔽₂)×D₇₃	1	2	yes	—
1354	C₂²	#17989423	1	2	yes	—
1355	C₂²	C₂⁵×D₇₃	1	1	yes	characteristic
1356	C₄	—	2	2	no	—
1357	C₄	—	2	2	no	—
1358	C₄	—	2	4	no	—
1359	C₄	—	2	2	no	—
1360	C₄	—	2	4	no	—
1361	C₄	—	2	2	no	—
1362	C₄	—	2	4	no	—
1363	C₄	—	73	4	no	—
1364	C₄	—	146	2	no	—
1365	C₄	—	146	2	no	—
1366	C₄	—	146	4	no	—
1367	C₄	—	146	2	no	—
1368	C₄	—	146	4	no	—
1369	C₄	—	146	4	no	—
1370	C₄	—	146	2	no	—
1371	C₄	C₂×#41×D₇₃	1	4	yes	—
1372	C₂	—	4	2	no	—
1373	C₂	—	4	4	no	—
1374	C₂	—	4	2	no	—
1375	C₂	—	292	4	no	—
1376	C₂	—	292	2	no	—
1377	C₂	—	146	4	no	—
1378	C₂	—	146	4	no	—
1379	C₂	#22623659	1	4	yes	direct product factor
1380	C₂	C₂²×#41×D₇₃	1	1	yes	characteristic
1381	C₂	C₂×H(5,𝔽₂)×D₇₃	1	1	yes	characteristic
1382	C₂	C₂×#17989423	1	1	yes	characteristic

	subgroup	G/H
center	C₂³	C₂⁴×D₇₃
commutator, cosocle	C₂²×C₇₃	C₂⁶
Frattini	C₂²	C₂⁵×D₇₃
Fitting	C₂×#553×C₇₃	C₂
socle	C₂³×C₇₃	C₂⁵
hypercenter	C₂×#553	D₇₃
hypocenter	C₇₃	C₂×#3494
LCS	G ▷ C₂²×C₇₃ ▷ C₇₃
UCS	C₁ ◁ C₂³ ◁ C₂×#553

Complements

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

N	H ≅ G/N	type
1. #22623659	C₂	direct (N × H)
2. C₂×#17989302	C₂	semidirect
3. C₂×#17989301	C₂	semidirect
4. C₂×#17989290	C₂	semidirect
5. C₂×#17989284	C₂	semidirect
6. C₂×#17989281	C₂	semidirect
7. C₂×#17989266	C₂	semidirect
8. C₂×#17989262	C₂	semidirect
9. C₂×#17989242	C₂	semidirect
10. C₂×#17989238	C₂	semidirect
11. C₂×#17989234	C₂	semidirect
12. C₂×#17989229	C₂	semidirect
13. C₂×#17989217	C₂	semidirect
14. C₂×#17989205	C₂	semidirect
15. C₂×#17989187	C₂	semidirect
16. C₂×#17989153	C₂	semidirect
17. C₂×#17989134	C₂	semidirect
18. C₂×#17989120	C₂	semidirect
19. C₂×#17989096	C₂	semidirect
20. C₂×#121×D₇₃	C₂	semidirect
21. C₂×#17989068	C₂	semidirect
22. C₂×#17989059	C₂	semidirect
23. C₂×#117×D₇₃	C₂	semidirect
24. C₂×#553×C₇₃	C₂	semidirect
26. C₂²×#11924028	C₂²	semidirect
27. C₂²×#11924028	C₂²	semidirect
31. #17989302	C₂²	semidirect
32. #17989301	C₂²	semidirect
33. #17989290	C₂²	semidirect
34. #17989284	C₂²	semidirect
35. #17989281	C₂²	semidirect
36. #17989266	C₂²	semidirect
37. #17989262	C₂²	semidirect
38. #17989242	C₂²	semidirect
39. #17989238	C₂²	semidirect
40. #17989234	C₂²	semidirect
41. #17989229	C₂²	semidirect
42. #17989217	C₂²	semidirect
43. #17989205	C₂²	semidirect
44. #17989187	C₂²	semidirect
45. #17989153	C₂²	semidirect
46. #17989134	C₂²	semidirect
47. C₂×#14556591	C₂²	semidirect
48. C₂×#14556590	C₂²	semidirect
49. C₂×#14556590	C₂²	semidirect
50. C₂×#14556587	C₂²	semidirect
51. #17989120	C₂²	semidirect
52. C₂×#14556586	C₂²	semidirect
53. C₂×#14556585	C₂²	semidirect
54. C₂×#14556584	C₂²	semidirect
55. C₂×#14556582	C₂²	semidirect
56. C₂×#14556581	C₂²	semidirect
57. C₂×#14556578	C₂²	semidirect
58. C₂×#14556577	C₂²	semidirect
59. C₂×#14556577	C₂²	semidirect
60. C₂×#14556577	C₂²	semidirect
61. C₂×#14556577	C₂²	semidirect
62. #17989096	C₂²	semidirect
64. C₂×#14556576	C₂²	semidirect
65. C₂×#14556576	C₂²	semidirect
66. C₂×#14556574	C₂²	semidirect
68. C₂×#14556573	C₂²	semidirect
69. C₂×#14556573	C₂²	semidirect
70. C₂×#14556573	C₂²	semidirect
71. C₂×#14556572	C₂²	semidirect
73. C₂×#14556570	C₂²	semidirect
75. C₂×#14556569	C₂²	semidirect
76. C₂×#14556569	C₂²	semidirect
77. C₂×#14556568	C₂²	semidirect
79. C₂×#14556566	C₂²	semidirect
80. C₂×#14556566	C₂²	semidirect
82. C₂×#14556565	C₂²	semidirect
84. C₂×#14556564	C₂²	semidirect
85. C₂×#14556564	C₂²	semidirect
87. C₂×#14556563	C₂²	semidirect
88. C₂×#14556563	C₂²	semidirect
90. C₂×#14556562	C₂²	semidirect
91. C₂×#14556562	C₂²	semidirect
92. C₂×#14556562	C₂²	semidirect
93. #121×D₇₃	C₂²	semidirect
98. #17989068	C₂²	semidirect
99. #17989059	C₂²	semidirect
100. C₂×#14556556	C₂²	semidirect
101. C₂×C₄×D₂₉₂	C₂²	semidirect
102. C₂×C₄×D₂₉₂	C₂²	semidirect
103. C₂×C₄×D₂₉₂	C₂²	semidirect
104. C₂×D₄×Dic₇₃	C₂²	semidirect
106. C₂×#14556553	C₂²	semidirect
107. C₂×#14556553	C₂²	semidirect
109. C₂×C₄×C₂²⋊D₇₃	C₂²	semidirect
110. C₂×C₄×C₂²⋊D₇₃	C₂²	semidirect
111. C₂×C₄×C₂²⋊D₇₃	C₂²	semidirect
112. C₂×C₄×C₂²⋊D₇₃	C₂²	semidirect
113. C₂×#14556551	C₂²	semidirect
114. C₂×#14556551	C₂²	semidirect
115. C₂×#14556550	C₂²	semidirect
116. C₂×#14556550	C₂²	semidirect
119. C₂×#14556549	C₂²	semidirect
120. C₂×#14556549	C₂²	semidirect
123. C₂×#14556547	C₂²	semidirect
124. C₂×#14556547	C₂²	semidirect
125. #117×D₇₃	C₂²	semidirect
127. C₂×C₄⋊C₄×D₇₃	C₂²	semidirect
128. C₂×C₄⋊C₄×D₇₃	C₂²	semidirect
129. C₂×C₄⋊C₄×D₇₃	C₂²	semidirect
134. C₂×C₄²×D₇₃	C₂²	semidirect
135. #553×C₇₃	C₂²	semidirect
136. C₂×#126×C₇₃	C₂²	semidirect
137. C₂×#125×C₇₃	C₂²	semidirect
138. C₂×#123×C₇₃	C₂²	semidirect
140. C₂×#121×C₇₃	C₂²	semidirect
141. C₂×#121×C₇₃	C₂²	semidirect
142. C₂×C₄×D₄×C₇₃	C₂²	semidirect
143. C₂×C₄×D₄×C₇₃	C₂²	semidirect
144. C₂×C₄×D₄×C₇₃	C₂²	semidirect
145. C₂×#117×C₇₃	C₂²	semidirect
146. C₂²×C₄⋊C₄×C₇₃	C₂²	semidirect
153. C₂×#11924028	C₂³	semidirect
154. C₂×#11924028	C₂³	semidirect
191. #14556591	C₂³	semidirect
192. #14556590	C₂³	semidirect
193. #14556590	C₂³	semidirect
194. #14556587	C₂³	semidirect
195. #14556586	C₂³	semidirect
196. #14556585	C₂³	semidirect
197. #14556584	C₂³	semidirect
198. #14556582	C₂³	semidirect
199. #14556581	C₂³	semidirect
200. #14556578	C₂³	semidirect
201. #14556577	C₂³	semidirect
202. #14556577	C₂³	semidirect
203. #14556577	C₂³	semidirect
204. #14556577	C₂³	semidirect
206. #14556576	C₂³	semidirect
207. #14556576	C₂³	semidirect
208. #14556574	C₂³	semidirect
210. #14556573	C₂³	semidirect
211. #14556573	C₂³	semidirect
212. #14556573	C₂³	semidirect
213. #14556572	C₂³	semidirect
215. #14556570	C₂³	semidirect
217. #14556569	C₂³	semidirect
218. #14556569	C₂³	semidirect
219. #14556568	C₂³	semidirect
221. #14556566	C₂³	semidirect
222. #14556566	C₂³	semidirect
224. #14556565	C₂³	semidirect
226. #14556564	C₂³	semidirect
227. #14556564	C₂³	semidirect
229. #14556563	C₂³	semidirect
230. #14556563	C₂³	semidirect
232. #14556562	C₂³	semidirect
233. #14556562	C₂³	semidirect
234. #14556562	C₂³	semidirect
239. #14556556	C₂³	semidirect
240. C₄×D₂₉₂	C₂³	semidirect
241. C₄×D₂₉₂	C₂³	semidirect
242. C₄×D₂₉₂	C₂³	semidirect
243. D₄×Dic₇₃	C₂³	semidirect
245. #14556553	C₂³	semidirect
246. #14556553	C₂³	semidirect
248. C₄×C₂²⋊D₇₃	C₂³	semidirect
249. C₄×C₂²⋊D₇₃	C₂³	semidirect
250. C₄×C₂²⋊D₇₃	C₂³	semidirect
251. C₄×C₂²⋊D₇₃	C₂³	semidirect
252. #14556551	C₂³	semidirect
253. #14556551	C₂³	semidirect
254. #14556550	C₂³	semidirect
255. #14556550	C₂³	semidirect
258. #14556549	C₂³	semidirect
259. #14556549	C₂³	semidirect
262. #14556547	C₂³	semidirect
263. #14556547	C₂³	semidirect
281. C₄⋊C₄×D₇₃	C₂³	semidirect
282. C₄⋊C₄×D₇₃	C₂³	semidirect
283. C₄⋊C₄×D₇₃	C₂³	semidirect
316. C₄²×D₇₃	C₂³	semidirect
325. #126×C₇₃	C₂³	semidirect
326. #125×C₇₃	C₂³	semidirect
327. #123×C₇₃	C₂³	semidirect
329. #121×C₇₃	C₂³	semidirect
330. #121×C₇₃	C₂³	semidirect
331. C₄×D₄×C₇₃	C₂³	semidirect
332. C₄×D₄×C₇₃	C₂³	semidirect
333. C₄×D₄×C₇₃	C₂³	semidirect
334. #117×C₇₃	C₂³	semidirect
342. C₂×C₄⋊C₄×C₇₃	C₂³	semidirect
425. C₂×C₄×D₇₃	#41	semidirect
626. C₄×D₇₃	C₂×#41	semidirect
684. C₂×C₇₃	#3494	semidirect
698. C₂×#553	D₇₃	semidirect
716. C₇₃	C₂×#3494	semidirect
728. #553	C₂×D₇₃	semidirect
748. C₂×#126	C₂×D₇₃	semidirect
751. C₂×#125	C₂×D₇₃	semidirect
767. C₂×#123	C₂×D₇₃	semidirect
791. C₂×#121	C₂×D₇₃	semidirect
792. C₂×#121	C₂×D₇₃	semidirect
814. C₂×C₄×D₄	C₂×D₇₃	semidirect
815. C₂×C₄×D₄	C₂×D₇₃	semidirect
816. C₂×C₄×D₄	C₂×D₇₃	semidirect
828. C₂×#117	C₂×D₇₃	semidirect
833. C₂²×C₄⋊C₄	C₂×D₇₃	semidirect
898. #126	C₂²×D₇₃	semidirect
901. #125	C₂²×D₇₃	semidirect
916. #123	C₂²×D₇₃	semidirect
939. #121	C₂²×D₇₃	semidirect
940. #121	C₂²×D₇₃	semidirect
960. C₄×D₄	C₂²×D₇₃	semidirect
961. C₄×D₄	C₂²×D₇₃	semidirect
962. C₄×D₄	C₂²×D₇₃	semidirect
973. #117	C₂²×D₇₃	semidirect
1001. C₂×C₄⋊C₄	C₂²×D₇₃	semidirect
1379. C₂	#22623659	direct (N × H)

Maximal subgroups

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

subgroup	index
#22623659	2
C₂×#17989302	2
C₂×#17989301	2
C₂×#17989290	2
C₂×#17989284	2
C₂×#17989281	2
C₂×#17989266	2
C₂×#17989262	2
C₂×#17989242	2
C₂×#17989238	2
C₂×#17989234	2
C₂×#17989229	2
C₂×#17989217	2
C₂×#17989205	2
C₂×#17989187	2
C₂×#17989153	2
C₂×#17989134	2
C₂×#17989120	2
C₂×#17989096	2
C₂×#121×D₇₃	2
C₂×#17989068	2
C₂×#17989059	2
C₂×#117×D₇₃	2
C₂×#553×C₇₃	2
C₂×#3494	73

Subgroups — C2×#22623659 #33994327

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₂×#22623659 #33994327