Subgroups — C₂×#22624500 #33993334

Order 18688.

7258 conjugacy classes of subgroups.

The subgroup lattice has 1316 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#22624500	C₂	1	32	yes	maximal, direct product factor
2	C₂×#17989339	C₂	1	2	yes	maximal, complemented
3	C₂×#17989333	C₂	1	2	yes	maximal, complemented
4	C₂×#17989310	C₂	1	1	yes	maximal, characteristic, complemented
5	C₂×#17989262	C₂	1	2	yes	maximal, complemented
6	C₂×#17989261	C₂	1	2	yes	maximal, complemented
7	C₂×Q₈×D₂₉₂	C₂	1	1	yes	maximal, characteristic, complemented
8	C₂×#17989252	C₂	1	1	yes	maximal, characteristic, complemented
9	C₂×#17989249	C₂	1	1	yes	maximal, characteristic, complemented
10	C₂×#17989245	C₂	1	1	yes	maximal, characteristic, complemented
11	C₂×#17989232	C₂	1	1	yes	maximal, characteristic, complemented
12	C₂×#17989230	C₂	1	1	yes	maximal, characteristic, complemented
13	C₂×#17989212	C₂	1	2	yes	maximal, complemented
14	C₂×#17989209	C₂	1	1	yes	maximal, characteristic, complemented
15	C₂×#17989208	C₂	1	2	yes	maximal, complemented
16	C₂×#17989203	C₂	1	2	yes	maximal, complemented
17	C₂×#17989202	C₂	1	1	yes	maximal, characteristic, complemented
18	C₂×#17989176	C₂	1	2	yes	maximal, complemented
19	C₂×#17989162	C₂	1	1	yes	maximal, characteristic, complemented
20	C₂×#17989157	C₂	1	1	yes	maximal, characteristic, complemented
21	C₂×#17989141	C₂	1	1	yes	maximal, characteristic, complemented
22	C₂×#17989124	C₂	1	1	yes	maximal, characteristic, complemented
23	C₂×#124×D₇₃	C₂	1	1	yes	maximal, characteristic, complemented
24	C₂×#556×C₇₃	C₂	1	1	yes	maximal, characteristic, complemented
25	C₂²×#11924029	C₂²	1	1	yes	characteristic
26	C₂²×#11924027	C₂²	1	1	yes	characteristic
27	C₂²×Q₈×D₇₃	C₂²	1	1	yes	characteristic
28	C₂²×Q₈×D₇₃	C₂²	1	1	yes	characteristic, complemented
29	C₂²×Q₈×D₇₃	C₂²	1	1	yes	characteristic, complemented
30	C₂²×D₄×D₇₃	C₂²	1	1	yes	characteristic
31	#17989339	C₂²	1	32	yes	complemented
32	#17989333	C₂²	1	32	yes	complemented
33	#17989310	C₂²	1	16	yes	complemented
34	#17989262	C₂²	1	32	yes	complemented
35	#17989261	C₂²	1	32	yes	complemented
36	Q₈×D₂₉₂	C₂²	1	16	yes	complemented
37	#17989252	C₂²	1	16	yes	complemented
38	#17989249	C₂²	1	16	yes	complemented
39	#17989245	C₂²	1	16	yes	complemented
40	#17989232	C₂²	1	16	yes	complemented
41	#17989230	C₂²	1	16	yes	complemented
42	#17989212	C₂²	1	32	yes	complemented
43	#17989209	C₂²	1	16	yes	complemented
44	#17989208	C₂²	1	32	yes	complemented
45	#17989203	C₂²	1	32	yes	complemented
46	#17989202	C₂²	1	16	yes	complemented
47	#17989176	C₂²	1	32	yes	complemented
48	#17989162	C₂²	1	16	yes	complemented
49	#17989157	C₂²	1	16	yes	complemented
50	#17989141	C₂²	1	16	yes	complemented
51	C₂×#14556591	C₂²	1	1	yes	characteristic, complemented
52	C₂×#14556591	C₂²	1	2	yes	complemented
53	C₂×#14556590	C₂²	1	2	yes	complemented
54	C₂×#14556590	C₂²	1	1	yes	characteristic, complemented
55	C₂×#14556589	C₂²	1	1	yes	characteristic, complemented
56	#17989124	C₂²	1	16	yes	complemented
57	C₂×#14556586	C₂²	1	2	yes	complemented
58	C₂×#14556586	C₂²	1	1	yes	characteristic, complemented
59	C₂×#14556586	C₂²	1	1	yes	characteristic, complemented
60	C₂×#14556586	C₂²	1	2	yes	complemented
61	C₂×#14556585	C₂²	1	2	yes	complemented
62	C₂×#14556584	C₂²	1	2	yes	complemented
63	C₂×#14556582	C₂²	1	1	yes	characteristic, complemented
64	C₂×#14556581	C₂²	1	2	yes	complemented
65	C₂×#14556580	C₂²	1	1	yes	characteristic
66	C₂×#14556580	C₂²	1	1	yes	characteristic, complemented
67	C₂×#14556579	C₂²	1	1	yes	characteristic
68	C₂×#14556579	C₂²	1	1	yes	characteristic
69	C₂×#14556579	C₂²	1	2	yes	complemented
70	C₂×#14556579	C₂²	1	2	yes	complemented
71	C₂×#14556578	C₂²	1	1	yes	characteristic
72	C₂×#14556577	C₂²	1	2	yes	—
73	C₂×#14556577	C₂²	1	2	yes	—
74	C₂×#14556577	C₂²	1	2	yes	complemented
75	C₂×#14556577	C₂²	1	2	yes	complemented
76	#124×D₇₃	C₂²	1	16	yes	complemented
77	C₂×#14556576	C₂²	1	1	yes	characteristic
78	C₂×#14556576	C₂²	1	1	yes	characteristic
79	C₂×#14556576	C₂²	1	2	yes	complemented
80	C₂×#14556576	C₂²	1	2	yes	complemented
81	C₂×#14556576	C₂²	1	2	yes	complemented
82	C₂×#14556575	C₂²	1	2	yes	—
83	C₂×#14556574	C₂²	1	2	yes	complemented
84	C₂×#14556573	C₂²	1	2	yes	—
85	C₂×#14556573	C₂²	1	2	yes	complemented
86	C₂×#14556573	C₂²	1	2	yes	complemented
87	C₂×#14556571	C₂²	1	2	yes	—
88	C₂×#14556571	C₂²	1	1	yes	characteristic
89	C₂×#14556571	C₂²	1	2	yes	complemented
90	C₂×#14556571	C₂²	1	2	yes	complemented
91	C₂×#14556571	C₂²	1	1	yes	characteristic, complemented
92	C₂×#14556570	C₂²	1	2	yes	complemented
93	C₂×#14556569	C₂²	1	2	yes	—
94	C₂×#14556569	C₂²	1	2	yes	—
95	C₂×#14556569	C₂²	1	2	yes	complemented
96	C₂×#14556569	C₂²	1	2	yes	complemented
97	C₂×#14556569	C₂²	1	2	yes	complemented
98	C₂×#14556569	C₂²	1	2	yes	complemented
99	C₂×#14556568	C₂²	1	2	yes	complemented
100	C₂×#14556568	C₂²	1	2	yes	complemented
101	C₂×#14556568	C₂²	1	2	yes	complemented
102	C₂×#14556567	C₂²	1	1	yes	characteristic
103	C₂×#14556567	C₂²	1	1	yes	characteristic
104	C₂×#14556567	C₂²	1	2	yes	complemented
105	C₂×#14556567	C₂²	1	1	yes	characteristic, complemented
106	C₂×#14556566	C₂²	1	1	yes	characteristic
107	C₂×#14556566	C₂²	1	1	yes	characteristic
108	C₂×#14556566	C₂²	1	2	yes	complemented
109	C₂×#14556565	C₂²	1	2	yes	—
110	C₂×#14556564	C₂²	1	2	yes	—
111	C₂×#14556564	C₂²	1	2	yes	complemented
112	C₂×#14556562	C₂²	1	1	yes	characteristic
113	C₂×#14556561	C₂²	1	2	yes	—
114	C₂×#14556561	C₂²	1	2	yes	—
115	C₂×C₄×Dic₁₄₆	C₂²	1	1	yes	characteristic, complemented
116	C₂×C₄×Dic₁₄₆	C₂²	1	2	yes	complemented
117	C₂×C₄×Dic₁₄₆	C₂²	1	1	yes	characteristic, complemented
118	C₂×C₄×D₂₉₂	C₂²	1	2	yes	—
119	C₂×C₄×D₂₉₂	C₂²	1	1	yes	characteristic
120	C₂×C₄×D₂₉₂	C₂²	1	1	yes	characteristic
121	C₂×C₄×D₂₉₂	C₂²	1	1	yes	characteristic
122	C₂×C₄×D₂₉₂	C₂²	1	2	yes	complemented
123	C₂×C₄×D₂₉₂	C₂²	1	1	yes	characteristic, complemented
124	C₂×#14556553	C₂²	1	2	yes	—
125	C₂×#14556551	C₂²	1	2	yes	complemented
126	C₂×#14556549	C₂²	1	2	yes	complemented
127	C₂×#14556548	C₂²	1	2	yes	—
128	C₂×#14556548	C₂²	1	1	yes	characteristic, complemented
129	C₂×#14556548	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	1	yes	characteristic
135	#556×C₇₃	C₂²	1	16	yes	complemented
136	C₂×C₄⋊Q₈×C₇₃	C₂²	1	1	yes	characteristic, complemented
137	C₂×#126×C₇₃	C₂²	1	2	yes	complemented
138	C₂×#126×C₇₃	C₂²	1	2	yes	complemented
139	C₂×#124×C₇₃	C₂²	1	1	yes	characteristic
140	C₂×#124×C₇₃	C₂²	1	1	yes	characteristic
141	C₂×C₂²⋊Q₈×C₇₃	C₂²	1	2	yes	complemented
142	C₂×C₄×Q₈×C₇₃	C₂²	1	1	yes	characteristic, complemented
143	C₂×C₄×Q₈×C₇₃	C₂²	1	1	yes	characteristic, complemented
144	C₂×C₄×Q₈×C₇₃	C₂²	1	1	yes	characteristic, complemented
145	C₂×C₄×D₄×C₇₃	C₂²	1	1	yes	characteristic
146	C₂×#117×C₇₃	C₂²	1	2	yes	complemented
147	C₂⁴×D₇₃	C₂³	1	2	yes	—
148	C₂×#11924029	—	4	4	no	—
149	C₂×#11924029	C₂³	1	8	yes	—
150	C₂×#11924027	—	4	4	no	—
151	C₂×#11924027	C₂³	1	8	yes	—
152	C₂²×Dic₁₄₆	C₂³	1	1	yes	characteristic
153	C₂²×Dic₁₄₆	C₂³	1	1	yes	characteristic
154	C₂²×Dic₁₄₆	C₂³	1	2	yes	—
155	C₂²×Dic₁₄₆	C₂³	1	2	yes	—
156	C₂²×Dic₁₄₆	C₂³	1	2	yes	—
157	C₂²×Dic₁₄₆	C₂³	1	2	yes	—
158	C₂×Q₈×D₇₃	—	4	4	no	—
159	C₂×Q₈×D₇₃	—	4	4	no	—
160	C₂×Q₈×D₇₃	—	4	4	no	—
161	C₂×Q₈×D₇₃	C₂³	1	8	yes	—
162	C₂×Q₈×D₇₃	C₂³	1	8	yes	complemented
163	C₂×Q₈×D₇₃	C₂³	1	8	yes	complemented
164	C₂²×D₂₉₂	C₂³	1	1	yes	characteristic
165	C₂²×D₂₉₂	C₂³	1	1	yes	characteristic
166	C₂²×D₂₉₂	C₂³	1	1	yes	characteristic
167	C₂²×D₂₉₂	C₂³	1	2	yes	—
168	C₂²×D₂₉₂	C₂³	1	2	yes	—
169	C₂²×D₂₉₂	C₂³	1	1	yes	characteristic
170	C₂²×C₂²⋊D₇₃	C₂³	1	2	yes	—
171	C₂²×C₂²⋊D₇₃	C₂³	1	2	yes	—
172	C₂²×C₂²⋊D₇₃	C₂³	1	2	yes	—
173	C₂×D₄×D₇₃	—	4	4	no	—
174	C₂×D₄×D₇₃	C₂³	1	8	yes	—
175	C₂³×Dic₇₃	C₂³	1	2	yes	—
176	C₂²×C₄×D₇₃	C₂³	1	1	yes	characteristic
177	C₂²×C₄×D₇₃	C₂³	1	1	yes	characteristic
178	C₂²×C₄×D₇₃	C₂³	1	1	yes	characteristic
179	C₂²×C₄×D₇₃	C₂³	1	1	yes	characteristic
180	C₂²×C₄×D₇₃	C₂³	1	2	yes	—
181	C₂²×C₄×D₇₃	C₂³	1	2	yes	—
182	C₂²×C₄×D₇₃	C₂³	1	2	yes	—
183	C₂²×C₄×D₇₃	C₂³	1	2	yes	—
184	C₂²×C₄×D₇₃	C₂³	1	1	yes	characteristic
185	C₂²×C₄×D₇₃	C₂³	1	2	yes	—
186	#14556591	C₂³	1	8	yes	complemented
187	#14556591	C₂³	1	16	yes	complemented
188	#14556590	C₂³	1	8	yes	complemented
189	#14556590	C₂³	1	16	yes	complemented
190	#14556589	C₂³	1	8	yes	complemented
191	#14556586	C₂³	1	8	yes	complemented
192	#14556586	C₂³	1	8	yes	complemented
193	#14556586	C₂³	1	16	yes	complemented
194	#14556586	C₂³	1	16	yes	complemented
195	#14556585	C₂³	1	16	yes	complemented
196	#14556584	C₂³	1	16	yes	complemented
197	#14556582	C₂³	1	8	yes	complemented
198	#14556581	C₂³	1	16	yes	complemented
199	#14556580	C₂³	1	8	yes	—
200	#14556580	C₂³	1	8	yes	complemented
201	#14556579	C₂³	1	8	yes	—
202	#14556579	C₂³	1	8	yes	—
203	#14556579	C₂³	1	16	yes	complemented
204	#14556579	C₂³	1	16	yes	complemented
205	#14556578	C₂³	1	8	yes	—
206	#14556577	C₂³	1	16	yes	—
207	#14556577	C₂³	1	16	yes	—
208	#14556577	C₂³	1	16	yes	complemented
209	#14556577	C₂³	1	16	yes	complemented
210	#14556576	C₂³	1	8	yes	—
211	#14556576	C₂³	1	8	yes	—
212	#14556576	C₂³	1	16	yes	complemented
213	#14556576	C₂³	1	16	yes	complemented
214	#14556576	C₂³	1	16	yes	complemented
215	#14556575	C₂³	1	16	yes	—
216	#14556574	C₂³	1	16	yes	complemented
217	#14556573	C₂³	1	16	yes	—
218	#14556573	C₂³	1	16	yes	complemented
219	#14556573	C₂³	1	16	yes	complemented
220	#14556571	C₂³	1	8	yes	—
221	#14556571	C₂³	1	16	yes	—
222	#14556571	C₂³	1	8	yes	complemented
223	#14556571	C₂³	1	16	yes	complemented
224	#14556571	C₂³	1	16	yes	complemented
225	#14556570	C₂³	1	16	yes	complemented
226	#14556569	C₂³	1	16	yes	—
227	#14556569	C₂³	1	16	yes	—
228	#14556569	C₂³	1	16	yes	complemented
229	#14556569	C₂³	1	16	yes	complemented
230	#14556569	C₂³	1	16	yes	complemented
231	#14556569	C₂³	1	16	yes	complemented
232	#14556568	C₂³	1	16	yes	complemented
233	#14556568	C₂³	1	16	yes	complemented
234	#14556568	C₂³	1	16	yes	complemented
235	#14556567	C₂³	1	8	yes	—
236	#14556567	C₂³	1	8	yes	—
237	#14556567	C₂³	1	8	yes	complemented
238	#14556567	C₂³	1	16	yes	complemented
239	#14556566	C₂³	1	8	yes	—
240	#14556566	C₂³	1	8	yes	—
241	#14556566	C₂³	1	16	yes	complemented
242	#14556565	C₂³	1	16	yes	—
243	#14556564	C₂³	1	16	yes	—
244	#14556564	C₂³	1	16	yes	complemented
245	#14556562	C₂³	1	8	yes	—
246	#14556561	C₂³	1	16	yes	—
247	#14556561	C₂³	1	16	yes	—
248	C₄×Dic₁₄₆	C₂³	1	16	yes	complemented
249	C₄×Dic₁₄₆	C₂³	1	8	yes	complemented
250	C₄×Dic₁₄₆	C₂³	1	8	yes	complemented
251	C₄×D₂₉₂	C₂³	1	8	yes	—
252	C₄×D₂₉₂	C₂³	1	8	yes	—
253	C₄×D₂₉₂	C₂³	1	16	yes	—
254	C₄×D₂₉₂	C₂³	1	8	yes	—
255	C₄×D₂₉₂	C₂³	1	8	yes	complemented
256	C₄×D₂₉₂	C₂³	1	16	yes	complemented
257	#14556553	C₂³	1	16	yes	—
258	#14556551	C₂³	1	16	yes	complemented
259	#14556549	C₂³	1	16	yes	complemented
260	#14556548	C₂³	1	16	yes	—
261	#14556548	C₂³	1	8	yes	complemented
262	#14556548	C₂³	1	8	yes	complemented
263	C₂×C₄⋊Dic₇₃	C₂³	1	1	yes	characteristic
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	2	yes	—
269	C₂×C₄⋊Dic₇₃	C₂³	1	2	yes	—
270	C₂×C₄⋊Dic₇₃	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	1	yes	characteristic
279	C₂×#11924007	C₂³	1	1	yes	characteristic
280	C₂×#11924007	C₂³	1	2	yes	—
281	C₂×#11924007	C₂³	1	2	yes	—
282	C₂×C₂²⋊Dic₇₃	C₂³	1	2	yes	—
283	C₂×C₂²⋊Dic₇₃	C₂³	1	2	yes	—
284	C₂×C₂²⋊Dic₇₃	C₂³	1	2	yes	—
285	C₂×#11924005	C₂³	1	16	yes	—
286	C₂×#11924005	C₂³	1	1	yes	characteristic
287	C₂×#11924005	C₂³	1	2	yes	—
288	C₂×#11924005	C₂³	1	2	yes	—
289	C₂×#11924005	C₂³	1	2	yes	—
290	C₂×#11924005	C₂³	1	2	yes	—
291	C₂×#11924005	C₂³	1	2	yes	—
292	C₂×#11924005	C₂³	1	1	yes	characteristic
293	C₂×#11924005	C₂³	1	2	yes	—
294	C₂×#11924005	C₂³	1	2	yes	—
295	C₂×#11924005	C₂³	1	2	yes	—
296	C₂×#11924005	C₂³	1	1	yes	characteristic
297	C₂×#11924005	C₂³	1	1	yes	characteristic
298	C₂×#11924005	C₂³	1	1	yes	characteristic
299	C₂×#11924005	C₂³	1	1	yes	characteristic
300	C₂×#11924005	C₂³	1	2	yes	—
301	C₂×#11924005	C₂³	1	1	yes	characteristic
302	C₂×#11924005	C₂³	1	2	yes	—
303	C₂×#11924005	C₂³	1	2	yes	—
304	C₂×#11924005	C₂³	1	1	yes	characteristic
305	C₂×#11924005	C₂³	1	1	yes	characteristic
306	C₂×#11924005	C₂³	1	2	yes	—
307	C₂×#11924005	C₂³	1	1	yes	characteristic
308	C₂²⋊C₄×D₇₃	C₂³	1	16	yes	—
309	C₂²⋊C₄×D₇₃	C₂³	1	16	yes	—
310	C₂²⋊C₄×D₇₃	C₂³	1	16	yes	—
311	C₂×C₄×Dic₇₃	C₂³	1	1	yes	characteristic
312	C₂×C₄×Dic₇₃	C₂³	1	2	yes	—
313	C₂×C₄×Dic₇₃	C₂³	1	1	yes	characteristic
314	C₂×C₄×Dic₇₃	C₂³	1	1	yes	characteristic
315	C₂×C₄×Dic₇₃	C₂³	1	2	yes	—
316	C₄²×D₇₃	C₂³	1	8	yes	—
317	C₂²×Q₈×C₇₃	C₂³	1	1	yes	characteristic
318	C₂²×Q₈×C₇₃	C₂³	1	1	yes	characteristic
319	C₂²×Q₈×C₇₃	C₂³	1	1	yes	characteristic
320	C₂²×D₄×C₇₃	C₂³	1	1	yes	characteristic
321	C₂³×C₄×C₇₃	C₂³	1	2	yes	—
322	C₄⋊Q₈×C₇₃	C₂³	1	8	yes	complemented
323	#126×C₇₃	C₂³	1	16	yes	complemented
324	#126×C₇₃	C₂³	1	16	yes	complemented
325	#124×C₇₃	C₂³	1	8	yes	—
326	#124×C₇₃	C₂³	1	8	yes	—
327	C₂²⋊Q₈×C₇₃	C₂³	1	16	yes	complemented
328	C₄×Q₈×C₇₃	C₂³	1	8	yes	complemented
329	C₄×Q₈×C₇₃	C₂³	1	8	yes	complemented
330	C₄×Q₈×C₇₃	C₂³	1	8	yes	complemented
331	C₄×D₄×C₇₃	C₂³	1	8	yes	—
332	#117×C₇₃	C₂³	1	16	yes	complemented
333	C₂×C₄⋊C₄×C₇₃	C₂³	1	1	yes	characteristic
334	C₂×C₄⋊C₄×C₇₃	C₂³	1	2	yes	—
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	2	yes	—
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×C₂²⋊C₄×C₇₃	C₂³	1	2	yes	—
342	C₂×C₂²⋊C₄×C₇₃	C₂³	1	2	yes	—
343	C₂×C₂²⋊C₄×C₇₃	C₂³	1	2	yes	—
344	C₂×C₂²⋊C₄×C₇₃	C₂³	1	2	yes	—
345	C₂×C₂²⋊C₄×C₇₃	C₂³	1	2	yes	—
346	C₂×C₄²×C₇₃	C₂³	1	2	yes	—
347	C₂×C₄²×C₇₃	C₂³	1	1	yes	characteristic
348	C₂×C₄²×C₇₃	C₂³	1	2	yes	—
349	C₂×C₄²×C₇₃	C₂³	1	1	yes	characteristic
350	C₂×C₄²×C₇₃	C₂³	1	1	yes	characteristic
351	C₂³×D₇₃	—	2	8	no	—
352	C₂³×D₇₃	—	4	4	no	—
353	C₂³×D₇₃	—	4	4	no	—
354	C₂³×D₇₃	C₂⁴	1	2	yes	—
355	C₂³×D₇₃	C₂⁴	1	1	yes	characteristic
356	C₂³×D₇₃	C₂⁴	1	1	yes	characteristic
357	C₂³×D₇₃	C₂⁴	1	1	yes	characteristic
358	C₂³×D₇₃	C₂⁴	1	8	yes	—
359	#11924029	—	4	16	no	—
360	#11924027	—	4	16	no	—
361	C₂×Dic₁₄₆	—	2	4	no	—
362	C₂×Dic₁₄₆	—	2	4	no	—
363	C₂×Dic₁₄₆	—	4	4	no	—
364	C₂×Dic₁₄₆	—	4	4	no	—
365	C₂×Dic₁₄₆	—	4	4	no	—
366	C₂×Dic₁₄₆	—	4	4	no	—
367	C₂×Dic₁₄₆	C₂⁴	1	4	yes	—
368	C₂×Dic₁₄₆	C₂⁴	1	4	yes	—
369	C₂×Dic₁₄₆	C₂⁴	1	8	yes	—
370	C₂×Dic₁₄₆	C₂⁴	1	8	yes	—
371	C₂×Dic₁₄₆	C₂⁴	1	8	yes	—
372	C₂×Dic₁₄₆	C₂⁴	1	8	yes	—
373	Q₈×D₇₃	—	4	16	no	—
374	Q₈×D₇₃	—	4	16	no	—
375	Q₈×D₇₃	—	4	16	no	—
376	C₂×D₂₉₂	—	2	4	no	—
377	C₂×D₂₉₂	—	2	4	no	—
378	C₂×D₂₉₂	—	2	4	no	—
379	C₂×D₂₉₂	—	4	4	no	—
380	C₂×D₂₉₂	—	4	2	no	—
381	C₂×D₂₉₂	—	4	4	no	—
382	C₂×D₂₉₂	C₂⁴	1	4	yes	—
383	C₂×D₂₉₂	C₂⁴	1	4	yes	—
384	C₂×D₂₉₂	C₂⁴	1	4	yes	—
385	C₂×D₂₉₂	C₂⁴	1	8	yes	—
386	C₂×D₂₉₂	C₂⁴	1	4	yes	—
387	C₂×D₂₉₂	C₂⁴	1	8	yes	—
388	C₂×C₂²⋊D₇₃	—	4	4	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	8	yes	—
394	D₄×D₇₃	—	4	16	no	—
395	C₂²×Dic₇₃	—	4	4	no	—
396	C₂²×Dic₇₃	C₂⁴	1	1	yes	characteristic
397	C₂²×Dic₇₃	C₂⁴	1	1	yes	characteristic
398	C₂²×Dic₇₃	C₂⁴	1	2	yes	—
399	C₂²×Dic₇₃	C₂⁴	1	1	yes	characteristic
400	C₂²×Dic₇₃	C₂⁴	1	2	yes	—
401	C₂²×Dic₇₃	C₂⁴	1	2	yes	—
402	C₂²×Dic₇₃	C₂⁴	1	1	yes	characteristic
403	C₂²×Dic₇₃	C₂⁴	1	1	yes	characteristic
404	C₂²×Dic₇₃	C₂⁴	1	8	yes	—
405	C₂×C₄×D₇₃	—	2	4	no	—
406	C₂×C₄×D₇₃	—	2	4	no	—
407	C₂×C₄×D₇₃	—	2	4	no	—
408	C₂×C₄×D₇₃	—	2	4	no	—
409	C₂×C₄×D₇₃	—	4	4	no	—
410	C₂×C₄×D₇₃	—	4	2	no	—
411	C₂×C₄×D₇₃	—	4	4	no	—
412	C₂×C₄×D₇₃	—	4	4	no	—
413	C₂×C₄×D₇₃	—	4	4	no	—
414	C₂×C₄×D₇₃	—	4	4	no	—
415	C₂×C₄×D₇₃	C₂⁴	1	4	yes	—
416	C₂×C₄×D₇₃	C₂⁴	1	4	yes	—
417	C₂×C₄×D₇₃	C₂⁴	1	4	yes	—
418	C₂×C₄×D₇₃	C₂⁴	1	4	yes	—
419	C₂×C₄×D₇₃	C₂⁴	1	4	yes	—
420	C₂×C₄×D₇₃	C₂⁴	1	8	yes	—
421	C₂×C₄×D₇₃	C₂⁴	1	8	yes	—
422	C₂×C₄×D₇₃	C₂⁴	1	8	yes	—
423	C₂×C₄×D₇₃	C₂⁴	1	8	yes	—
424	C₂×C₄×D₇₃	C₂⁴	1	8	yes	—
425	C₄⋊Dic₇₃	C₂⁴	1	8	yes	—
426	C₄⋊Dic₇₃	C₂⁴	1	4	yes	—
427	C₄⋊Dic₇₃	C₂⁴	1	8	yes	—
428	C₄⋊Dic₇₃	C₂⁴	1	4	yes	—
429	C₄⋊Dic₇₃	C₂⁴	1	4	yes	—
430	C₄⋊Dic₇₃	C₂⁴	1	4	yes	—
431	C₄⋊Dic₇₃	C₂⁴	1	8	yes	—
432	C₄⋊Dic₇₃	C₂⁴	1	8	yes	—
433	#11924007	C₂⁴	1	8	yes	—
434	#11924007	C₂⁴	1	8	yes	—
435	#11924007	C₂⁴	1	4	yes	—
436	#11924007	C₂⁴	1	4	yes	—
437	#11924007	C₂⁴	1	4	yes	—
438	#11924007	C₂⁴	1	4	yes	—
439	#11924007	C₂⁴	1	8	yes	—
440	#11924007	C₂⁴	1	8	yes	—
441	#11924007	C₂⁴	1	8	yes	—
442	#11924007	C₂⁴	1	8	yes	—
443	#11924007	C₂⁴	1	8	yes	—
444	C₂²⋊Dic₇₃	C₂⁴	1	8	yes	—
445	C₂²⋊Dic₇₃	C₂⁴	1	8	yes	—
446	C₂²⋊Dic₇₃	C₂⁴	1	8	yes	—
447	#11924005	C₂⁴	1	4	yes	—
448	#11924005	C₂⁴	1	8	yes	—
449	#11924005	C₂⁴	1	8	yes	—
450	#11924005	C₂⁴	1	8	yes	—
451	#11924005	C₂⁴	1	8	yes	—
452	#11924005	C₂⁴	1	8	yes	—
453	#11924005	C₂⁴	1	4	yes	—
454	#11924005	C₂⁴	1	8	yes	—
455	#11924005	C₂⁴	1	8	yes	—
456	#11924005	C₂⁴	1	8	yes	—
457	#11924005	C₂⁴	1	4	yes	—
458	#11924005	C₂⁴	1	4	yes	—
459	#11924005	C₂⁴	1	4	yes	—
460	#11924005	C₂⁴	1	4	yes	—
461	#11924005	C₂⁴	1	8	yes	—
462	#11924005	C₂⁴	1	4	yes	—
463	#11924005	C₂⁴	1	8	yes	—
464	#11924005	C₂⁴	1	8	yes	—
465	#11924005	C₂⁴	1	4	yes	—
466	#11924005	C₂⁴	1	4	yes	—
467	#11924005	C₂⁴	1	8	yes	—
468	#11924005	C₂⁴	1	4	yes	—
469	C₄×Dic₇₃	C₂⁴	1	4	yes	—
470	C₄×Dic₇₃	C₂⁴	1	4	yes	—
471	C₄×Dic₇₃	C₂⁴	1	4	yes	—
472	C₄×Dic₇₃	C₂⁴	1	8	yes	—
473	C₄×Dic₇₃	C₂⁴	1	8	yes	—
474	C₂⁴×C₇₃	C₂⁴	1	2	yes	—
475	C₂×Q₈×C₇₃	—	2	4	no	—
476	C₂×Q₈×C₇₃	—	2	4	no	—
477	C₂×Q₈×C₇₃	—	4	2	no	—
478	C₂×Q₈×C₇₃	C₂⁴	1	4	yes	—
479	C₂×Q₈×C₇₃	C₂⁴	1	4	yes	—
480	C₂×Q₈×C₇₃	C₂⁴	1	4	yes	—
481	C₂×D₄×C₇₃	—	2	4	no	—
482	C₂×D₄×C₇₃	C₂⁴	1	4	yes	—
483	C₂²×C₄×C₇₃	—	4	4	no	—
484	C₂²×C₄×C₇₃	C₂⁴	1	1	yes	characteristic
485	C₂²×C₄×C₇₃	C₂⁴	1	1	yes	characteristic
486	C₂²×C₄×C₇₃	C₂⁴	1	2	yes	—
487	C₂²×C₄×C₇₃	C₂⁴	1	1	yes	characteristic
488	C₂²×C₄×C₇₃	C₂⁴	1	1	yes	characteristic
489	C₂²×C₄×C₇₃	C₂⁴	1	1	yes	characteristic
490	C₂²×C₄×C₇₃	C₂⁴	1	2	yes	—
491	C₂²×C₄×C₇₃	C₂⁴	1	2	yes	—
492	C₂²×C₄×C₇₃	C₂⁴	1	1	yes	characteristic
493	C₂²×C₄×C₇₃	C₂⁴	1	8	yes	—
494	C₂²×C₄×C₇₃	C₂⁴	1	1	yes	characteristic
495	C₄⋊C₄×C₇₃	C₂⁴	1	4	yes	—
496	C₄⋊C₄×C₇₃	C₂⁴	1	8	yes	—
497	C₄⋊C₄×C₇₃	C₂⁴	1	4	yes	—
498	C₄⋊C₄×C₇₃	C₂⁴	1	8	yes	—
499	C₄⋊C₄×C₇₃	C₂⁴	1	8	yes	—
500	C₄⋊C₄×C₇₃	C₂⁴	1	4	yes	—
501	C₄⋊C₄×C₇₃	C₂⁴	1	4	yes	—
502	C₄⋊C₄×C₇₃	C₂⁴	1	8	yes	—
503	C₂²⋊C₄×C₇₃	C₂⁴	1	8	yes	—
504	C₂²⋊C₄×C₇₃	C₂⁴	1	8	yes	—
505	C₂²⋊C₄×C₇₃	C₂⁴	1	8	yes	—
506	C₂²⋊C₄×C₇₃	C₂⁴	1	8	yes	—
507	C₂²⋊C₄×C₇₃	C₂⁴	1	8	yes	—
508	C₄²×C₇₃	C₂⁴	1	8	yes	—
509	C₄²×C₇₃	C₂⁴	1	8	yes	—
510	C₄²×C₇₃	C₂⁴	1	4	yes	—
511	C₄²×C₇₃	C₂⁴	1	4	yes	—
512	C₄²×C₇₃	C₂⁴	1	4	yes	—
513	C₂³×C₇₃	—	2	4	no	—
514	C₂³×C₇₃	—	2	4	no	—
515	C₂³×C₇₃	—	2	4	no	—
516	C₂³×C₇₃	C₂⁵	1	4	yes	—
517	C₂³×C₇₃	C₂⁵	1	1	yes	characteristic
518	C₂²×D₇₃	—	2	2	no	—
519	C₂²×D₇₃	—	2	2	no	—
520	C₂²×D₇₃	—	2	2	no	—
521	C₂²×D₇₃	—	2	2	no	—
522	C₂²×D₇₃	—	2	4	no	—
523	C₂²×D₇₃	—	2	2	no	—
524	C₂²×D₇₃	—	2	2	no	—
525	C₂²×D₇₃	—	2	4	no	—
526	C₂²×D₇₃	—	2	4	no	—
527	C₂²×D₇₃	—	2	2	no	—
528	C₂²×D₇₃	—	2	2	no	—
529	C₂²×D₇₃	—	2	16	no	—
530	C₂²×D₇₃	—	4	8	no	—
531	C₂²×D₇₃	—	4	8	no	—
532	C₂²×D₇₃	—	8	16	no	—
533	C₂²×D₇₃	2₋¹⁺⁴	1	4	yes	—
534	C₂²×D₇₃	C₂⁵	1	4	yes	—
535	C₂²×D₇₃	C₂⁵	1	2	yes	—
536	C₂²×D₇₃	C₂⁵	1	2	yes	—
537	C₂²×D₇₃	C₂⁵	1	2	yes	—
538	Q₈×C₇₃	—	2	8	no	—
539	Q₈×C₇₃	—	2	8	no	—
540	Q₈×C₇₃	—	4	4	no	—
541	D₄×C₇₃	—	2	8	no	—
542	C₂×C₄×C₇₃	—	2	4	no	—
543	C₂×C₄×C₇₃	—	2	4	no	—
544	C₂×C₄×C₇₃	—	2	2	no	—
545	C₂×C₄×C₇₃	—	2	2	no	—
546	C₂×C₄×C₇₃	—	2	2	no	—
547	C₂×C₄×C₇₃	—	2	2	no	—
548	C₂×C₄×C₇₃	—	2	4	no	—
549	C₂×C₄×C₇₃	—	2	2	no	—
550	C₂×C₄×C₇₃	—	2	2	no	—
551	C₂×C₄×C₇₃	—	4	8	no	—
552	C₂×C₄×C₇₃	H(5,𝔽₂)	1	4	yes	—
553	C₂×C₄×C₇₃	C₂⁵	1	2	yes	—
554	C₂×C₄×C₇₃	C₂⁵	1	2	yes	—
555	C₂×C₄×C₇₃	C₂⁵	1	4	yes	—
556	C₂×C₄×C₇₃	C₂⁵	1	2	yes	—
557	C₂×C₄×C₇₃	C₂⁵	1	2	yes	—
558	C₂×C₄×C₇₃	C₂⁵	1	2	yes	—
559	C₂×C₄×C₇₃	C₂⁵	1	4	yes	—
560	C₂×C₄×C₇₃	C₂⁵	1	4	yes	—
561	C₂×C₄×C₇₃	C₂⁵	1	2	yes	—
562	C₂×C₄×C₇₃	C₂⁵	1	2	yes	—
563	C₂²⋊D₇₃	—	4	8	no	—
564	C₂²⋊D₇₃	—	4	8	no	—
565	C₂²⋊D₇₃	—	4	8	no	—
566	C₂×Dic₇₃	—	2	2	no	—
567	C₂×Dic₇₃	—	2	2	no	—
568	C₂×Dic₇₃	—	2	2	no	—
569	C₂×Dic₇₃	—	2	4	no	—
570	C₂×Dic₇₃	—	2	4	no	—
571	C₂×Dic₇₃	—	2	2	no	—
572	C₂×Dic₇₃	—	2	4	no	—
573	C₂×Dic₇₃	—	2	2	no	—
574	C₂×Dic₇₃	—	4	8	no	—
575	C₂×Dic₇₃	C₂⁵	1	2	yes	—
576	C₂×Dic₇₃	C₂⁵	1	2	yes	—
577	C₂×Dic₇₃	C₂⁵	1	4	yes	—
578	C₂×Dic₇₃	C₂⁵	1	2	yes	—
579	C₂×Dic₇₃	C₂⁵	1	4	yes	—
580	C₂×Dic₇₃	C₂⁵	1	4	yes	—
581	C₂×Dic₇₃	C₂⁵	1	2	yes	—
582	C₂×Dic₇₃	C₂⁵	1	2	yes	—
583	D₂₉₂	—	2	8	no	—
584	D₂₉₂	—	2	8	no	—
585	D₂₉₂	—	2	8	no	—
586	D₂₉₂	—	4	8	no	—
587	D₂₉₂	—	4	4	no	—
588	D₂₉₂	—	4	8	no	—
589	C₄×D₇₃	—	2	8	no	—
590	C₄×D₇₃	—	2	8	no	—
591	C₄×D₇₃	—	2	8	no	—
592	C₄×D₇₃	—	2	8	no	—
593	C₄×D₇₃	—	4	4	no	—
594	C₄×D₇₃	—	4	8	no	—
595	C₄×D₇₃	—	4	8	no	—
596	C₄×D₇₃	—	4	8	no	—
597	C₄×D₇₃	—	4	8	no	—
598	C₄×D₇₃	—	4	8	no	—
599	Dic₁₄₆	—	2	8	no	—
600	Dic₁₄₆	—	2	8	no	—
601	Dic₁₄₆	—	4	8	no	—
602	Dic₁₄₆	—	4	8	no	—
603	Dic₁₄₆	—	4	8	no	—
604	Dic₁₄₆	—	4	8	no	—
605	C₂²×C₇₃	—	2	4	no	—
606	C₂²×C₇₃	—	2	4	no	—
607	C₂²×C₇₃	—	2	4	no	—
608	C₂²×C₇₃	—	4	8	no	—
609	C₂²×C₇₃	C₂×H(5,𝔽₂)	1	2	yes	—
610	C₂²×C₇₃	C₂×2₋¹⁺⁴	1	2	yes	—
611	C₂²×C₇₃	#585	1	2	yes	—
612	C₂²×C₇₃	C₂⁶	1	1	yes	characteristic
613	C₂×D₇₃	—	2	2	no	—
614	C₂×D₇₃	—	2	2	no	—
615	C₂×D₇₃	—	2	8	no	—
616	C₂×D₇₃	—	2	2	no	—
617	C₂×D₇₃	—	2	2	no	—
618	C₂×D₇₃	—	2	4	no	—
619	C₂×D₇₃	—	2	2	no	—
620	C₂×D₇₃	—	2	2	no	—
621	C₂×D₇₃	—	2	4	no	—
622	C₂×D₇₃	—	2	4	no	—
623	C₂×D₇₃	—	2	2	no	—
624	C₂×D₇₃	—	2	2	no	—
625	C₂×D₇₃	—	4	4	no	—
626	C₂×D₇₃	—	4	4	no	—
627	C₂×D₇₃	—	4	8	no	—
628	C₂×D₇₃	—	8	16	no	—
629	C₂×D₇₃	C₂×2₋¹⁺⁴	1	4	yes	—
630	C₄×C₇₃	—	2	4	no	—
631	C₄×C₇₃	—	2	4	no	—
632	C₄×C₇₃	—	2	2	no	—
633	C₄×C₇₃	—	2	2	no	—
634	C₄×C₇₃	—	2	2	no	—
635	C₄×C₇₃	—	2	4	no	—
636	C₄×C₇₃	—	2	2	no	—
637	C₄×C₇₃	—	2	2	no	—
638	C₄×C₇₃	—	2	2	no	—
639	C₄×C₇₃	C₂×H(5,𝔽₂)	1	4	yes	—
640	Dic₇₃	—	2	4	no	—
641	Dic₇₃	—	2	4	no	—
642	Dic₇₃	—	2	2	no	—
643	Dic₇₃	—	2	2	no	—
644	Dic₇₃	—	2	2	no	—
645	Dic₇₃	—	2	2	no	—
646	Dic₇₃	—	2	2	no	—
647	Dic₇₃	—	2	4	no	—
648	C₂×#3561	—	73	1	no	maximal, Sylow
649	C₂×C₇₃	—	4	4	no	—
650	C₂×C₇₃	#3561	1	4	yes	complemented
651	C₂×C₇₃	C₂²×H(5,𝔽₂)	1	1	yes	characteristic
652	C₂×C₇₃	C₂²×2₋¹⁺⁴	1	1	yes	characteristic
653	C₂×C₇₃	C₂×#585	1	1	yes	characteristic
654	D₇₃	—	2	4	no	—
655	D₇₃	—	4	2	no	—
656	D₇₃	—	4	2	no	—
657	D₇₃	—	4	4	no	—
658	#3561	—	73	32	no	—
659	C₂×#563	—	73	2	no	—
660	C₂×#562	—	73	2	no	—
661	C₂×#556	—	73	1	no	—
662	C₂×#556	D₇₃	1	1	yes	characteristic, complemented
663	C₂×#551	—	73	2	no	—
664	C₂×#551	—	73	2	no	—
665	C₂×D₄×Q₈	—	73	1	no	—
666	C₂×D₄×Q₈	—	73	1	no	—
667	C₂×#548	—	73	1	no	—
668	C₂×#548	—	73	1	no	—
669	C₂×#546	—	73	1	no	—
670	C₂×#546	—	73	1	no	—
671	C₂×#543	—	73	2	no	—
672	C₂×#542	—	73	2	no	—
673	C₂×#542	—	73	1	no	—
674	C₂×#542	—	73	1	no	—
675	C₂×#542	—	73	2	no	—
676	C₂×#538	—	73	2	no	—
677	C₂×#536	—	73	1	no	—
678	C₂×#536	—	73	1	no	—
679	C₂×#533	—	73	1	no	—
680	C₂×#529	—	73	1	no	—
681	C₂²×#124	—	73	1	no	—
682	C₇₃	C₂×#3561	1	1	yes	characteristic, complemented, Sylow
683	C₂²×#41	—	73	1	no	—
684	C₂²×#41	—	73	1	no	—
685	C₂³×Q₈	—	73	1	no	—
686	C₂³×Q₈	—	73	1	no	—
687	C₂³×Q₈	—	73	1	no	—
688	C₂³×D₄	—	73	1	no	—
689	#563	—	73	32	no	—
690	#562	—	73	32	no	—
691	#556	—	73	16	no	—
692	#556	C₂×D₇₃	1	16	yes	complemented
693	#551	—	73	32	no	—
694	#551	—	73	32	no	—
695	D₄×Q₈	—	73	16	no	—
696	D₄×Q₈	—	73	16	no	—
697	#548	—	73	16	no	—
698	#548	—	73	16	no	—
699	#546	—	73	16	no	—
700	#546	—	73	16	no	—
701	#543	—	73	32	no	—
702	#542	—	73	32	no	—
703	#542	—	73	16	no	—
704	#542	—	73	16	no	—
705	#542	—	73	32	no	—
706	#538	—	73	32	no	—
707	#536	—	73	16	no	—
708	#536	—	73	16	no	—
709	#533	—	73	16	no	—
710	C₂×C₄⋊Q₈	—	73	1	no	—
711	C₂×C₄⋊Q₈	—	73	1	no	—
712	C₂×C₄⋊Q₈	—	73	2	no	—
713	C₂×C₄⋊Q₈	—	73	1	no	—
714	C₂×C₄⋊Q₈	—	73	2	no	—
715	C₂×C₄⋊Q₈	C₂×D₇₃	1	1	yes	characteristic, complemented
716	#529	—	73	16	no	—
717	C₂×#126	—	73	1	no	—
718	C₂×#126	—	73	1	no	—
719	C₂×#126	—	73	2	no	—
720	C₂×#126	—	73	2	no	—
721	C₂×#126	—	73	2	no	—
722	C₂×#126	—	73	2	no	—
723	C₂×#126	C₂×D₇₃	1	2	yes	complemented
724	C₂×#126	C₂×D₇₃	1	2	yes	complemented
725	C₂×#125	—	73	1	no	—
726	C₂×#125	—	73	2	no	—
727	C₂×#124	—	73	1	no	—
728	C₂×#124	—	73	1	no	—
729	C₂×#124	—	73	1	no	—
730	C₂×#124	—	73	16	no	—
731	C₂×#124	—	73	2	no	—
732	C₂×#124	—	73	2	no	—
733	C₂×#124	—	73	2	no	—
734	C₂×#124	—	73	2	no	—
735	C₂×#124	—	73	1	no	—
736	C₂×#124	—	73	1	no	—
737	C₂×#124	—	73	2	no	—
738	C₂×#124	—	73	2	no	—
739	C₂×#124	C₂×D₇₃	1	1	yes	characteristic
740	C₂×#124	C₂×D₇₃	1	1	yes	characteristic
741	C₂×#123	—	73	2	no	—
742	C₂×#123	—	73	1	no	—
743	C₂×#123	—	73	1	no	—
744	C₂×#123	—	73	2	no	—
745	C₂×#123	—	73	2	no	—
746	C₂×#123	—	73	2	no	—
747	C₂×#123	—	73	2	no	—
748	C₂×#123	—	73	2	no	—
749	C₂×#123	—	73	2	no	—
750	C₂×#123	—	73	2	no	—
751	C₂×C₂²⋊Q₈	—	73	1	no	—
752	C₂×C₂²⋊Q₈	—	73	1	no	—
753	C₂×C₂²⋊Q₈	—	73	1	no	—
754	C₂×C₂²⋊Q₈	—	73	2	no	—
755	C₂×C₂²⋊Q₈	—	73	2	no	—
756	C₂×C₂²⋊Q₈	—	73	2	no	—
757	C₂×C₂²⋊Q₈	—	73	1	no	—
758	C₂×C₂²⋊Q₈	—	73	2	no	—
759	C₂×C₂²⋊Q₈	—	73	2	no	—
760	C₂×C₂²⋊Q₈	—	73	2	no	—
761	C₂×C₂²⋊Q₈	—	73	1	no	—
762	C₂×C₂²⋊Q₈	—	73	2	no	—
763	C₂×C₂²⋊Q₈	—	73	2	no	—
764	C₂×C₂²⋊Q₈	—	73	2	no	—
765	C₂×C₂²⋊Q₈	—	73	2	no	—
766	C₂×C₂²⋊Q₈	—	73	2	no	—
767	C₂×C₂²⋊Q₈	—	73	2	no	—
768	C₂×C₂²⋊Q₈	—	73	2	no	—
769	C₂×C₂²⋊Q₈	—	73	2	no	—
770	C₂×C₂²⋊Q₈	C₂×D₇₃	1	2	yes	complemented
771	C₂×#121	—	73	1	no	—
772	C₂×#121	—	73	2	no	—
773	C₂×#121	—	73	1	no	—
774	C₂×#121	—	73	2	no	—
775	C₂×#121	—	73	1	no	—
776	C₂×#121	—	73	2	no	—
777	C₂×#121	—	73	2	no	—
778	C₂×#120	—	73	2	no	—
779	C₂×#120	—	73	2	no	—
780	C₂×C₄×Q₈	—	73	2	no	—
781	C₂×C₄×Q₈	—	73	1	no	—
782	C₂×C₄×Q₈	—	73	1	no	—
783	C₂×C₄×Q₈	C₂×D₇₃	1	1	yes	characteristic, complemented
784	C₂×C₄×Q₈	C₂×D₇₃	1	1	yes	characteristic, complemented
785	C₂×C₄×Q₈	C₂×D₇₃	1	1	yes	characteristic, complemented
786	C₂×C₄×D₄	—	73	2	no	—
787	C₂×C₄×D₄	—	73	2	no	—
788	C₂×C₄×D₄	—	73	1	no	—
789	C₂×C₄×D₄	—	73	1	no	—
790	C₂×C₄×D₄	—	73	1	no	—
791	C₂×C₄×D₄	—	73	2	no	—
792	C₂×C₄×D₄	—	73	1	no	—
793	C₂×C₄×D₄	—	73	2	no	—
794	C₂×C₄×D₄	C₂×D₇₃	1	1	yes	characteristic
795	C₂×#117	—	73	2	no	—
796	C₂×#117	—	73	1	no	—
797	C₂×#117	—	73	1	no	—
798	C₂×#117	—	73	2	no	—
799	C₂×#117	C₂×D₇₃	1	2	yes	complemented
800	C₂²×C₂²⋊C₄	—	73	2	no	—
801	C₂²×C₂²⋊C₄	—	73	2	no	—
802	C₂²×C₂²⋊C₄	—	73	2	no	—
803	C₂²×C₂²⋊C₄	—	73	2	no	—
804	C₂²×C₄²	—	73	1	no	—
805	C₂⁵	—	73	2	no	—
806	C₂×#41	—	292	4	no	—
807	C₂×#41	—	292	4	no	—
808	C₂×#41	—	73	8	no	—
809	C₂×#41	—	73	8	no	—
810	C₂²×Q₈	—	292	4	no	—
811	C₂²×Q₈	—	292	4	no	—
812	C₂²×Q₈	—	292	4	no	—
813	C₂²×Q₈	—	73	8	no	—
814	C₂²×Q₈	—	73	8	no	—
815	C₂²×Q₈	—	73	8	no	—
816	C₂²×Q₈	—	73	2	no	—
817	C₂²×Q₈	—	73	2	no	—
818	C₂²×Q₈	—	73	2	no	—
819	C₂²×Q₈	—	73	2	no	—
820	C₂²×Q₈	—	73	1	no	—
821	C₂²×Q₈	—	73	1	no	—
822	C₂²×Q₈	C₂²×D₇₃	1	1	yes	characteristic
823	C₂²×Q₈	C₂²×D₇₃	1	1	yes	characteristic
824	C₂²×Q₈	C₂²×D₇₃	1	1	yes	characteristic
825	C₂²×D₄	—	292	4	no	—
826	C₂²×D₄	—	73	2	no	—
827	C₂²×D₄	—	73	2	no	—
828	C₂²×D₄	—	73	2	no	—
829	C₂²×D₄	—	73	8	no	—
830	C₂²×D₄	—	73	2	no	—
831	C₂²×D₄	—	73	1	no	—
832	C₂²×D₄	—	73	2	no	—
833	C₂²×D₄	—	73	1	no	—
834	C₂²×D₄	—	73	1	no	—
835	C₂²×D₄	—	73	1	no	—
836	C₂²×D₄	C₂²×D₇₃	1	1	yes	characteristic
837	C₂³×C₄	—	73	2	no	—
838	C₂³×C₄	—	73	2	no	—
839	C₂³×C₄	—	73	1	no	—
840	C₂³×C₄	—	73	2	no	—
841	C₂³×C₄	—	73	2	no	—
842	C₂³×C₄	—	73	2	no	—
843	C₂³×C₄	—	73	2	no	—
844	C₂³×C₄	—	73	1	no	—
845	C₂³×C₄	—	73	1	no	—
846	C₂³×C₄	—	73	1	no	—
847	C₂³×C₄	—	73	1	no	—
848	C₂³×C₄	C₂²×D₇₃	1	2	yes	—
849	C₄⋊Q₈	—	73	8	no	—
850	C₄⋊Q₈	—	73	8	no	—
851	C₄⋊Q₈	—	73	16	no	—
852	C₄⋊Q₈	—	73	8	no	—
853	C₄⋊Q₈	—	73	16	no	—
854	C₄⋊Q₈	C₂²×D₇₃	1	8	yes	complemented
855	#126	—	73	8	no	—
856	#126	—	73	8	no	—
857	#126	—	73	16	no	—
858	#126	—	73	16	no	—
859	#126	—	73	16	no	—
860	#126	—	73	16	no	—
861	#126	C₂²×D₇₃	1	16	yes	complemented
862	#126	C₂²×D₇₃	1	16	yes	complemented
863	#125	—	73	8	no	—
864	#125	—	73	16	no	—
865	#124	—	73	8	no	—
866	#124	—	73	8	no	—
867	#124	—	73	8	no	—
868	#124	—	73	16	no	—
869	#124	—	73	16	no	—
870	#124	—	73	16	no	—
871	#124	—	73	16	no	—
872	#124	—	73	8	no	—
873	#124	—	73	8	no	—
874	#124	—	73	16	no	—
875	#124	—	73	16	no	—
876	#124	C₂²×D₇₃	1	8	yes	—
877	#124	C₂²×D₇₃	1	8	yes	—
878	#123	—	73	16	no	—
879	#123	—	73	8	no	—
880	#123	—	73	8	no	—
881	#123	—	73	16	no	—
882	#123	—	73	16	no	—
883	#123	—	73	16	no	—
884	#123	—	73	16	no	—
885	#123	—	73	16	no	—
886	#123	—	73	16	no	—
887	#123	—	73	16	no	—
888	C₂²⋊Q₈	—	73	8	no	—
889	C₂²⋊Q₈	—	73	8	no	—
890	C₂²⋊Q₈	—	73	8	no	—
891	C₂²⋊Q₈	—	73	16	no	—
892	C₂²⋊Q₈	—	73	16	no	—
893	C₂²⋊Q₈	—	73	16	no	—
894	C₂²⋊Q₈	—	73	8	no	—
895	C₂²⋊Q₈	—	73	16	no	—
896	C₂²⋊Q₈	—	73	16	no	—
897	C₂²⋊Q₈	—	73	16	no	—
898	C₂²⋊Q₈	—	73	8	no	—
899	C₂²⋊Q₈	—	73	16	no	—
900	C₂²⋊Q₈	—	73	16	no	—
901	C₂²⋊Q₈	—	73	16	no	—
902	C₂²⋊Q₈	—	73	16	no	—
903	C₂²⋊Q₈	—	73	16	no	—
904	C₂²⋊Q₈	—	73	16	no	—
905	C₂²⋊Q₈	—	73	16	no	—
906	C₂²⋊Q₈	—	73	16	no	—
907	C₂²⋊Q₈	C₂²×D₇₃	1	16	yes	complemented
908	#121	—	73	8	no	—
909	#121	—	73	16	no	—
910	#121	—	73	8	no	—
911	#121	—	73	16	no	—
912	#121	—	73	8	no	—
913	#121	—	73	16	no	—
914	#121	—	73	16	no	—
915	#120	—	73	16	no	—
916	#120	—	73	16	no	—
917	C₄×Q₈	—	73	16	no	—
918	C₄×Q₈	—	73	8	no	—
919	C₄×Q₈	—	73	8	no	—
920	C₄×Q₈	C₂²×D₇₃	1	8	yes	complemented
921	C₄×Q₈	C₂²×D₇₃	1	8	yes	complemented
922	C₄×Q₈	C₂²×D₇₃	1	8	yes	complemented
923	C₄×D₄	—	73	16	no	—
924	C₄×D₄	—	73	16	no	—
925	C₄×D₄	—	73	8	no	—
926	C₄×D₄	—	73	8	no	—
927	C₄×D₄	—	73	8	no	—
928	C₄×D₄	—	73	16	no	—
929	C₄×D₄	—	73	8	no	—
930	C₄×D₄	—	73	16	no	—
931	C₄×D₄	C₂²×D₇₃	1	8	yes	—
932	#117	—	73	16	no	—
933	#117	—	73	8	no	—
934	#117	—	73	8	no	—
935	#117	—	73	16	no	—
936	#117	C₂²×D₇₃	1	16	yes	complemented
937	C₂×C₄⋊C₄	—	73	1	no	—
938	C₂×C₄⋊C₄	—	73	1	no	—
939	C₂×C₄⋊C₄	—	73	2	no	—
940	C₂×C₄⋊C₄	—	73	2	no	—
941	C₂×C₄⋊C₄	—	73	1	no	—
942	C₂×C₄⋊C₄	—	73	1	no	—
943	C₂×C₄⋊C₄	—	73	2	no	—
944	C₂×C₄⋊C₄	—	73	1	no	—
945	C₂×C₄⋊C₄	—	73	1	no	—
946	C₂×C₄⋊C₄	—	73	2	no	—
947	C₂×C₄⋊C₄	—	73	2	no	—
948	C₂×C₄⋊C₄	—	73	2	no	—
949	C₂×C₄⋊C₄	—	73	1	no	—
950	C₂×C₄⋊C₄	—	73	1	no	—
951	C₂×C₄⋊C₄	—	73	2	no	—
952	C₂×C₄⋊C₄	—	73	2	no	—
953	C₂×C₄⋊C₄	—	73	2	no	—
954	C₂×C₄⋊C₄	—	73	2	no	—
955	C₂×C₄⋊C₄	—	73	2	no	—
956	C₂×C₄⋊C₄	C₂²×D₇₃	1	1	yes	characteristic
957	C₂×C₄⋊C₄	C₂²×D₇₃	1	1	yes	characteristic
958	C₂×C₄⋊C₄	C₂²×D₇₃	1	2	yes	—
959	C₂×C₄⋊C₄	C₂²×D₇₃	1	2	yes	—
960	C₂×C₄⋊C₄	C₂²×D₇₃	1	1	yes	characteristic
961	C₂×C₄⋊C₄	C₂²×D₇₃	1	2	yes	—
962	C₂×C₄⋊C₄	C₂²×D₇₃	1	1	yes	characteristic
963	C₂×C₄⋊C₄	C₂²×D₇₃	1	2	yes	—
964	C₂×C₂²⋊C₄	—	73	2	no	—
965	C₂×C₂²⋊C₄	—	73	2	no	—
966	C₂×C₂²⋊C₄	—	73	2	no	—
967	C₂×C₂²⋊C₄	—	73	1	no	—
968	C₂×C₂²⋊C₄	—	73	1	no	—
969	C₂×C₂²⋊C₄	—	73	2	no	—
970	C₂×C₂²⋊C₄	—	73	2	no	—
971	C₂×C₂²⋊C₄	—	73	2	no	—
972	C₂×C₂²⋊C₄	—	73	2	no	—
973	C₂×C₂²⋊C₄	—	73	2	no	—
974	C₂×C₂²⋊C₄	—	73	2	no	—
975	C₂×C₂²⋊C₄	—	73	2	no	—
976	C₂×C₂²⋊C₄	—	73	2	no	—
977	C₂×C₂²⋊C₄	—	73	16	no	—
978	C₂×C₂²⋊C₄	—	73	2	no	—
979	C₂×C₂²⋊C₄	—	73	1	no	—
980	C₂×C₂²⋊C₄	—	73	1	no	—
981	C₂×C₂²⋊C₄	—	73	1	no	—
982	C₂×C₂²⋊C₄	—	73	1	no	—
983	C₂×C₂²⋊C₄	—	73	1	no	—
984	C₂×C₂²⋊C₄	—	73	1	no	—
985	C₂×C₂²⋊C₄	—	73	2	no	—
986	C₂×C₂²⋊C₄	—	73	1	no	—
987	C₂×C₂²⋊C₄	—	73	1	no	—
988	C₂×C₂²⋊C₄	—	73	2	no	—
989	C₂×C₂²⋊C₄	—	73	2	no	—
990	C₂×C₂²⋊C₄	—	73	16	no	—
991	C₂×C₂²⋊C₄	—	73	16	no	—
992	C₂×C₂²⋊C₄	—	73	16	no	—
993	C₂×C₂²⋊C₄	C₂²×D₇₃	1	2	yes	—
994	C₂×C₂²⋊C₄	C₂²×D₇₃	1	2	yes	—
995	C₂×C₂²⋊C₄	C₂²×D₇₃	1	2	yes	—
996	C₂×C₂²⋊C₄	C₂²×D₇₃	1	2	yes	—
997	C₂×C₂²⋊C₄	C₂²×D₇₃	1	2	yes	—
998	C₂×C₄²	—	73	2	no	—
999	C₂×C₄²	—	73	1	no	—
1000	C₂×C₄²	—	73	2	no	—
1001	C₂×C₄²	—	73	1	no	—
1002	C₂×C₄²	—	73	1	no	—
1003	C₂×C₄²	—	73	8	no	—
1004	C₂×C₄²	C₂²×D₇₃	1	2	yes	—
1005	C₂×C₄²	C₂²×D₇₃	1	1	yes	characteristic
1006	C₂×C₄²	C₂²×D₇₃	1	1	yes	characteristic
1007	C₂×C₄²	C₂²×D₇₃	1	2	yes	—
1008	C₂×C₄²	C₂²×D₇₃	1	1	yes	characteristic
1009	C₂⁴	—	292	4	no	—
1010	C₂⁴	—	292	4	no	—
1011	C₂⁴	—	73	8	no	—
1012	C₂⁴	—	73	1	no	—
1013	C₂⁴	—	73	2	no	—
1014	C₂⁴	—	73	1	no	—
1015	C₂⁴	—	73	1	no	—
1016	C₂⁴	—	146	8	no	—
1017	C₂⁴	C₂³×D₇₃	1	2	yes	—
1018	#41	—	292	16	no	—
1019	#41	—	292	16	no	—
1020	C₂×Q₈	—	2	4	no	—
1021	C₂×Q₈	—	2	4	no	—
1022	C₂×Q₈	—	4	2	no	—
1023	C₂×Q₈	—	292	4	no	—
1024	C₂×Q₈	—	292	4	no	—
1025	C₂×Q₈	—	292	4	no	—
1026	C₂×Q₈	—	292	4	no	—
1027	C₂×Q₈	—	292	16	no	—
1028	C₂×Q₈	—	292	16	no	—
1029	C₂×Q₈	—	292	16	no	—
1030	C₂×Q₈	—	73	8	no	—
1031	C₂×Q₈	—	73	8	no	—
1032	C₂×Q₈	—	73	8	no	—
1033	C₂×Q₈	—	73	8	no	—
1034	C₂×Q₈	—	73	4	no	—
1035	C₂×Q₈	—	73	4	no	—
1036	C₂×Q₈	—	146	4	no	—
1037	C₂×Q₈	—	146	4	no	—
1038	C₂×Q₈	C₂³×D₇₃	1	4	yes	—
1039	C₂×Q₈	C₂³×D₇₃	1	4	yes	—
1040	C₂×Q₈	C₂³×D₇₃	1	4	yes	—
1041	C₂×D₄	—	2	4	no	—
1042	C₂×D₄	—	292	4	no	—
1043	C₂×D₄	—	292	2	no	—
1044	C₂×D₄	—	292	4	no	—
1045	C₂×D₄	—	292	16	no	—
1046	C₂×D₄	—	292	4	no	—
1047	C₂×D₄	—	292	4	no	—
1048	C₂×D₄	—	292	4	no	—
1049	C₂×D₄	—	73	8	no	—
1050	C₂×D₄	—	73	8	no	—
1051	C₂×D₄	—	73	8	no	—
1052	C₂×D₄	—	73	8	no	—
1053	C₂×D₄	—	73	4	no	—
1054	C₂×D₄	—	73	8	no	—
1055	C₂×D₄	—	73	4	no	—
1056	C₂×D₄	—	73	4	no	—
1057	C₂×D₄	—	73	4	no	—
1058	C₂×D₄	—	146	4	no	—
1059	C₂×D₄	—	146	4	no	—
1060	C₂×D₄	—	146	4	no	—
1061	C₂×D₄	C₂³×D₇₃	1	4	yes	—
1062	C₂²×C₄	—	4	4	no	—
1063	C₂²×C₄	—	292	4	no	—
1064	C₂²×C₄	—	292	2	no	—
1065	C₂²×C₄	—	292	4	no	—
1066	C₂²×C₄	—	292	4	no	—
1067	C₂²×C₄	—	292	4	no	—
1068	C₂²×C₄	—	292	4	no	—
1069	C₂²×C₄	—	292	4	no	—
1070	C₂²×C₄	—	73	8	no	—
1071	C₂²×C₄	—	73	4	no	—
1072	C₂²×C₄	—	73	8	no	—
1073	C₂²×C₄	—	73	8	no	—
1074	C₂²×C₄	—	73	8	no	—
1075	C₂²×C₄	—	73	8	no	—
1076	C₂²×C₄	—	73	8	no	—
1077	C₂²×C₄	—	73	1	no	—
1078	C₂²×C₄	—	73	1	no	—
1079	C₂²×C₄	—	73	2	no	—
1080	C₂²×C₄	—	73	1	no	—
1081	C₂²×C₄	—	73	2	no	—
1082	C₂²×C₄	—	73	2	no	—
1083	C₂²×C₄	—	73	1	no	—
1084	C₂²×C₄	—	73	1	no	—
1085	C₂²×C₄	—	73	4	no	—
1086	C₂²×C₄	—	73	4	no	—
1087	C₂²×C₄	—	73	4	no	—
1088	C₂²×C₄	—	73	4	no	—
1089	C₂²×C₄	—	146	4	no	—
1090	C₂²×C₄	—	146	4	no	—
1091	C₂²×C₄	—	146	4	no	—
1092	C₂²×C₄	—	146	4	no	—
1093	C₂²×C₄	C₂³×D₇₃	1	1	yes	characteristic
1094	C₂²×C₄	C₂³×D₇₃	1	1	yes	characteristic
1095	C₂²×C₄	C₂³×D₇₃	1	1	yes	characteristic
1096	C₂²×C₄	C₂³×D₇₃	1	1	yes	characteristic
1097	C₂²×C₄	C₂³×D₇₃	1	2	yes	—
1098	C₂²×C₄	C₂³×D₇₃	1	1	yes	characteristic
1099	C₂²×C₄	C₂³×D₇₃	1	1	yes	characteristic
1100	C₂²×C₄	C₂³×D₇₃	1	2	yes	—
1101	C₂²×C₄	C₂³×D₇₃	1	2	yes	—
1102	C₂²×C₄	C₂³×D₇₃	1	8	yes	—
1103	C₂²×C₄	C₂³×D₇₃	1	1	yes	characteristic
1104	C₄⋊C₄	—	73	4	no	—
1105	C₄⋊C₄	—	73	4	no	—
1106	C₄⋊C₄	—	73	8	no	—
1107	C₄⋊C₄	—	73	4	no	—
1108	C₄⋊C₄	—	73	4	no	—
1109	C₄⋊C₄	—	73	8	no	—
1110	C₄⋊C₄	—	73	8	no	—
1111	C₄⋊C₄	—	73	8	no	—
1112	C₄⋊C₄	—	73	8	no	—
1113	C₄⋊C₄	—	73	8	no	—
1114	C₄⋊C₄	—	73	8	no	—
1115	C₄⋊C₄	—	73	8	no	—
1116	C₄⋊C₄	—	73	4	no	—
1117	C₄⋊C₄	—	73	4	no	—
1118	C₄⋊C₄	—	73	8	no	—
1119	C₄⋊C₄	—	73	8	no	—
1120	C₄⋊C₄	—	73	4	no	—
1121	C₄⋊C₄	—	73	4	no	—
1122	C₄⋊C₄	—	73	8	no	—
1123	C₄⋊C₄	C₂³×D₇₃	1	4	yes	—
1124	C₄⋊C₄	C₂³×D₇₃	1	4	yes	—
1125	C₄⋊C₄	C₂³×D₇₃	1	8	yes	—
1126	C₄⋊C₄	C₂³×D₇₃	1	8	yes	—
1127	C₄⋊C₄	C₂³×D₇₃	1	4	yes	—
1128	C₄⋊C₄	C₂³×D₇₃	1	8	yes	—
1129	C₄⋊C₄	C₂³×D₇₃	1	4	yes	—
1130	C₄⋊C₄	C₂³×D₇₃	1	8	yes	—
1131	C₂²⋊C₄	—	73	8	no	—
1132	C₂²⋊C₄	—	73	8	no	—
1133	C₂²⋊C₄	—	73	8	no	—
1134	C₂²⋊C₄	—	73	4	no	—
1135	C₂²⋊C₄	—	73	4	no	—
1136	C₂²⋊C₄	—	73	8	no	—
1137	C₂²⋊C₄	—	73	8	no	—
1138	C₂²⋊C₄	—	73	8	no	—
1139	C₂²⋊C₄	—	73	8	no	—
1140	C₂²⋊C₄	—	73	8	no	—
1141	C₂²⋊C₄	—	73	8	no	—
1142	C₂²⋊C₄	—	73	8	no	—
1143	C₂²⋊C₄	—	73	8	no	—
1144	C₂²⋊C₄	—	73	8	no	—
1145	C₂²⋊C₄	—	73	4	no	—
1146	C₂²⋊C₄	—	73	4	no	—
1147	C₂²⋊C₄	—	73	4	no	—
1148	C₂²⋊C₄	—	73	4	no	—
1149	C₂²⋊C₄	—	73	4	no	—
1150	C₂²⋊C₄	—	73	4	no	—
1151	C₂²⋊C₄	—	73	8	no	—
1152	C₂²⋊C₄	—	73	4	no	—
1153	C₂²⋊C₄	—	73	4	no	—
1154	C₂²⋊C₄	—	73	8	no	—
1155	C₂²⋊C₄	—	73	8	no	—
1156	C₂²⋊C₄	C₂³×D₇₃	1	8	yes	—
1157	C₂²⋊C₄	C₂³×D₇₃	1	8	yes	—
1158	C₂²⋊C₄	C₂³×D₇₃	1	8	yes	—
1159	C₂²⋊C₄	C₂³×D₇₃	1	8	yes	—
1160	C₂²⋊C₄	C₂³×D₇₃	1	8	yes	—
1161	C₄²	—	73	4	no	—
1162	C₄²	—	73	4	no	—
1163	C₄²	—	73	4	no	—
1164	C₄²	—	73	8	no	—
1165	C₄²	—	73	8	no	—
1166	C₄²	C₂³×D₇₃	1	4	yes	—
1167	C₄²	C₂³×D₇₃	1	8	yes	—
1168	C₄²	C₂³×D₇₃	1	4	yes	—
1169	C₄²	C₂³×D₇₃	1	4	yes	—
1170	C₄²	C₂³×D₇₃	1	8	yes	—
1171	C₂³	—	2	4	no	—
1172	C₂³	—	2	4	no	—
1173	C₂³	—	2	4	no	—
1174	C₂³	—	292	8	no	—
1175	C₂³	—	292	8	no	—
1176	C₂³	—	584	16	no	—
1177	C₂³	—	73	4	no	—
1178	C₂³	—	73	2	no	—
1179	C₂³	—	73	4	no	—
1180	C₂³	—	73	2	no	—
1181	C₂³	—	73	2	no	—
1182	C₂³	—	146	16	no	—
1183	C₂³	—	146	2	no	—
1184	C₂³	—	146	2	no	—
1185	C₂³	—	146	4	no	—
1186	C₂³	—	146	2	no	—
1187	C₂³	—	146	2	no	—
1188	C₂³	—	146	4	no	—
1189	C₂³	—	146	4	no	—
1190	C₂³	—	146	2	no	—
1191	C₂³	—	146	2	no	—
1192	C₂³	—	146	2	no	—
1193	C₂³	—	146	2	no	—
1194	C₂³	C₂⁴×D₇₃	1	4	yes	—
1195	C₂³	C₂⁴×D₇₃	1	1	yes	characteristic
1196	Q₈	—	2	8	no	—
1197	Q₈	—	2	8	no	—
1198	Q₈	—	4	4	no	—
1199	Q₈	—	292	8	no	—
1200	Q₈	—	292	8	no	—
1201	Q₈	—	292	8	no	—
1202	Q₈	—	292	8	no	—
1203	Q₈	—	146	8	no	—
1204	Q₈	—	146	8	no	—
1205	D₄	—	2	8	no	—
1206	D₄	—	292	8	no	—
1207	D₄	—	292	8	no	—
1208	D₄	—	292	4	no	—
1209	D₄	—	292	8	no	—
1210	D₄	—	292	8	no	—
1211	D₄	—	292	8	no	—
1212	D₄	—	146	8	no	—
1213	D₄	—	146	8	no	—
1214	D₄	—	146	8	no	—
1215	C₂×C₄	—	2	4	no	—
1216	C₂×C₄	—	2	4	no	—
1217	C₂×C₄	—	2	2	no	—
1218	C₂×C₄	—	2	2	no	—
1219	C₂×C₄	—	2	2	no	—
1220	C₂×C₄	—	2	2	no	—
1221	C₂×C₄	—	2	4	no	—
1222	C₂×C₄	—	2	2	no	—
1223	C₂×C₄	—	2	2	no	—
1224	C₂×C₄	—	4	8	no	—
1225	C₂×C₄	—	292	8	no	—
1226	C₂×C₄	—	292	8	no	—
1227	C₂×C₄	—	292	8	no	—
1228	C₂×C₄	—	292	8	no	—
1229	C₂×C₄	—	292	8	no	—
1230	C₂×C₄	—	292	4	no	—
1231	C₂×C₄	—	292	8	no	—
1232	C₂×C₄	—	73	2	no	—
1233	C₂×C₄	—	73	2	no	—
1234	C₂×C₄	—	73	4	no	—
1235	C₂×C₄	—	73	2	no	—
1236	C₂×C₄	—	73	4	no	—
1237	C₂×C₄	—	73	4	no	—
1238	C₂×C₄	—	73	2	no	—
1239	C₂×C₄	—	73	2	no	—
1240	C₂×C₄	—	146	8	no	—
1241	C₂×C₄	—	146	2	no	—
1242	C₂×C₄	—	146	2	no	—
1243	C₂×C₄	—	146	4	no	—
1244	C₂×C₄	—	146	4	no	—
1245	C₂×C₄	—	146	2	no	—
1246	C₂×C₄	—	146	2	no	—
1247	C₂×C₄	—	146	4	no	—
1248	C₂×C₄	—	146	2	no	—
1249	C₂×C₄	—	146	8	no	—
1250	C₂×C₄	—	146	8	no	—
1251	C₂×C₄	—	146	8	no	—
1252	C₂×C₄	#14556637	1	4	yes	—
1253	C₂×C₄	C₂⁴×D₇₃	1	2	yes	—
1254	C₂×C₄	C₂⁴×D₇₃	1	2	yes	—
1255	C₂×C₄	C₂⁴×D₇₃	1	2	yes	—
1256	C₂×C₄	C₂⁴×D₇₃	1	2	yes	—
1257	C₂×C₄	C₂⁴×D₇₃	1	4	yes	—
1258	C₂×C₄	C₂⁴×D₇₃	1	2	yes	—
1259	C₂×C₄	C₂⁴×D₇₃	1	2	yes	—
1260	C₂×C₄	C₂⁴×D₇₃	1	4	yes	—
1261	C₂×C₄	C₂⁴×D₇₃	1	4	yes	—
1262	C₂×C₄	C₂⁴×D₇₃	1	2	yes	—
1263	C₂²	—	2	4	no	—
1264	C₂²	—	2	4	no	—
1265	C₂²	—	2	4	no	—
1266	C₂²	—	4	8	no	—
1267	C₂²	—	292	8	no	—
1268	C₂²	—	292	4	no	—
1269	C₂²	—	292	4	no	—
1270	C₂²	—	584	16	no	—
1271	C₂²	—	73	4	no	—
1272	C₂²	—	146	2	no	—
1273	C₂²	—	146	2	no	—
1274	C₂²	—	146	4	no	—
1275	C₂²	—	146	2	no	—
1276	C₂²	—	146	2	no	—
1277	C₂²	—	146	4	no	—
1278	C₂²	—	146	4	no	—
1279	C₂²	—	146	2	no	—
1280	C₂²	—	146	2	no	—
1281	C₂²	—	146	2	no	—
1282	C₂²	—	146	2	no	—
1283	C₂²	—	146	8	no	—
1284	C₂²	C₂×#14556637	1	2	yes	—
1285	C₂²	2₋¹⁺⁴×D₇₃	1	2	yes	—
1286	C₂²	#17989423	1	2	yes	—
1287	C₂²	C₂⁵×D₇₃	1	1	yes	characteristic
1288	C₄	—	2	4	no	—
1289	C₄	—	2	4	no	—
1290	C₄	—	2	2	no	—
1291	C₄	—	2	2	no	—
1292	C₄	—	2	2	no	—
1293	C₄	—	2	2	no	—
1294	C₄	—	2	4	no	—
1295	C₄	—	2	2	no	—
1296	C₄	—	2	2	no	—
1297	C₄	—	146	2	no	—
1298	C₄	—	146	2	no	—
1299	C₄	—	146	4	no	—
1300	C₄	—	146	4	no	—
1301	C₄	—	146	2	no	—
1302	C₄	—	146	2	no	—
1303	C₄	—	146	4	no	—
1304	C₄	—	146	2	no	—
1305	C₄	C₂×#14556637	1	4	yes	—
1306	C₂	—	4	4	no	—
1307	C₂	—	292	4	no	—
1308	C₂	—	292	2	no	—
1309	C₂	—	292	2	no	—
1310	C₂	—	146	4	no	—
1311	C₂	#22624500	1	4	yes	direct product factor
1312	C₂	C₂²×#14556637	1	1	yes	characteristic
1313	C₂	C₂×2₋¹⁺⁴×D₇₃	1	1	yes	characteristic
1314	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×#556×C₇₃	C₂
socle	C₂³×C₇₃	C₂⁵
hypercenter	C₂×#556	D₇₃
hypocenter	C₇₃	C₂×#3561
LCS	G ▷ C₂²×C₇₃ ▷ C₇₃
UCS	C₁ ◁ C₂³ ◁ C₂×#556

Complements

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

N	H ≅ G/N	type
1. #22624500	C₂	direct (N × H)
2. C₂×#17989339	C₂	semidirect
3. C₂×#17989333	C₂	semidirect
4. C₂×#17989310	C₂	semidirect
5. C₂×#17989262	C₂	semidirect
6. C₂×#17989261	C₂	semidirect
7. C₂×Q₈×D₂₉₂	C₂	semidirect
8. C₂×#17989252	C₂	semidirect
9. C₂×#17989249	C₂	semidirect
10. C₂×#17989245	C₂	semidirect
11. C₂×#17989232	C₂	semidirect
12. C₂×#17989230	C₂	semidirect
13. C₂×#17989212	C₂	semidirect
14. C₂×#17989209	C₂	semidirect
15. C₂×#17989208	C₂	semidirect
16. C₂×#17989203	C₂	semidirect
17. C₂×#17989202	C₂	semidirect
18. C₂×#17989176	C₂	semidirect
19. C₂×#17989162	C₂	semidirect
20. C₂×#17989157	C₂	semidirect
21. C₂×#17989141	C₂	semidirect
22. C₂×#17989124	C₂	semidirect
23. C₂×#124×D₇₃	C₂	semidirect
24. C₂×#556×C₇₃	C₂	semidirect
28. C₂²×Q₈×D₇₃	C₂²	semidirect
29. C₂²×Q₈×D₇₃	C₂²	semidirect
31. #17989339	C₂²	semidirect
32. #17989333	C₂²	semidirect
33. #17989310	C₂²	semidirect
34. #17989262	C₂²	semidirect
35. #17989261	C₂²	semidirect
36. Q₈×D₂₉₂	C₂²	semidirect
37. #17989252	C₂²	semidirect
38. #17989249	C₂²	semidirect
39. #17989245	C₂²	semidirect
40. #17989232	C₂²	semidirect
41. #17989230	C₂²	semidirect
42. #17989212	C₂²	semidirect
43. #17989209	C₂²	semidirect
44. #17989208	C₂²	semidirect
45. #17989203	C₂²	semidirect
46. #17989202	C₂²	semidirect
47. #17989176	C₂²	semidirect
48. #17989162	C₂²	semidirect
49. #17989157	C₂²	semidirect
50. #17989141	C₂²	semidirect
51. C₂×#14556591	C₂²	semidirect
52. C₂×#14556591	C₂²	semidirect
53. C₂×#14556590	C₂²	semidirect
54. C₂×#14556590	C₂²	semidirect
55. C₂×#14556589	C₂²	semidirect
56. #17989124	C₂²	semidirect
57. C₂×#14556586	C₂²	semidirect
58. C₂×#14556586	C₂²	semidirect
59. C₂×#14556586	C₂²	semidirect
60. C₂×#14556586	C₂²	semidirect
61. C₂×#14556585	C₂²	semidirect
62. C₂×#14556584	C₂²	semidirect
63. C₂×#14556582	C₂²	semidirect
64. C₂×#14556581	C₂²	semidirect
66. C₂×#14556580	C₂²	semidirect
69. C₂×#14556579	C₂²	semidirect
70. C₂×#14556579	C₂²	semidirect
74. C₂×#14556577	C₂²	semidirect
75. C₂×#14556577	C₂²	semidirect
76. #124×D₇₃	C₂²	semidirect
79. C₂×#14556576	C₂²	semidirect
80. C₂×#14556576	C₂²	semidirect
81. C₂×#14556576	C₂²	semidirect
83. C₂×#14556574	C₂²	semidirect
85. C₂×#14556573	C₂²	semidirect
86. C₂×#14556573	C₂²	semidirect
89. C₂×#14556571	C₂²	semidirect
90. C₂×#14556571	C₂²	semidirect
91. C₂×#14556571	C₂²	semidirect
92. C₂×#14556570	C₂²	semidirect
95. C₂×#14556569	C₂²	semidirect
96. C₂×#14556569	C₂²	semidirect
97. C₂×#14556569	C₂²	semidirect
98. C₂×#14556569	C₂²	semidirect
99. C₂×#14556568	C₂²	semidirect
100. C₂×#14556568	C₂²	semidirect
101. C₂×#14556568	C₂²	semidirect
104. C₂×#14556567	C₂²	semidirect
105. C₂×#14556567	C₂²	semidirect
108. C₂×#14556566	C₂²	semidirect
111. C₂×#14556564	C₂²	semidirect
115. C₂×C₄×Dic₁₄₆	C₂²	semidirect
116. C₂×C₄×Dic₁₄₆	C₂²	semidirect
117. C₂×C₄×Dic₁₄₆	C₂²	semidirect
122. C₂×C₄×D₂₉₂	C₂²	semidirect
123. C₂×C₄×D₂₉₂	C₂²	semidirect
125. C₂×#14556551	C₂²	semidirect
126. C₂×#14556549	C₂²	semidirect
128. C₂×#14556548	C₂²	semidirect
129. C₂×#14556548	C₂²	semidirect
135. #556×C₇₃	C₂²	semidirect
136. C₂×C₄⋊Q₈×C₇₃	C₂²	semidirect
137. C₂×#126×C₇₃	C₂²	semidirect
138. C₂×#126×C₇₃	C₂²	semidirect
141. C₂×C₂²⋊Q₈×C₇₃	C₂²	semidirect
142. C₂×C₄×Q₈×C₇₃	C₂²	semidirect
143. C₂×C₄×Q₈×C₇₃	C₂²	semidirect
144. C₂×C₄×Q₈×C₇₃	C₂²	semidirect
146. C₂×#117×C₇₃	C₂²	semidirect
162. C₂×Q₈×D₇₃	C₂³	semidirect
163. C₂×Q₈×D₇₃	C₂³	semidirect
186. #14556591	C₂³	semidirect
187. #14556591	C₂³	semidirect
188. #14556590	C₂³	semidirect
189. #14556590	C₂³	semidirect
190. #14556589	C₂³	semidirect
191. #14556586	C₂³	semidirect
192. #14556586	C₂³	semidirect
193. #14556586	C₂³	semidirect
194. #14556586	C₂³	semidirect
195. #14556585	C₂³	semidirect
196. #14556584	C₂³	semidirect
197. #14556582	C₂³	semidirect
198. #14556581	C₂³	semidirect
200. #14556580	C₂³	semidirect
203. #14556579	C₂³	semidirect
204. #14556579	C₂³	semidirect
208. #14556577	C₂³	semidirect
209. #14556577	C₂³	semidirect
212. #14556576	C₂³	semidirect
213. #14556576	C₂³	semidirect
214. #14556576	C₂³	semidirect
216. #14556574	C₂³	semidirect
218. #14556573	C₂³	semidirect
219. #14556573	C₂³	semidirect
222. #14556571	C₂³	semidirect
223. #14556571	C₂³	semidirect
224. #14556571	C₂³	semidirect
225. #14556570	C₂³	semidirect
228. #14556569	C₂³	semidirect
229. #14556569	C₂³	semidirect
230. #14556569	C₂³	semidirect
231. #14556569	C₂³	semidirect
232. #14556568	C₂³	semidirect
233. #14556568	C₂³	semidirect
234. #14556568	C₂³	semidirect
237. #14556567	C₂³	semidirect
238. #14556567	C₂³	semidirect
241. #14556566	C₂³	semidirect
244. #14556564	C₂³	semidirect
248. C₄×Dic₁₄₆	C₂³	semidirect
249. C₄×Dic₁₄₆	C₂³	semidirect
250. C₄×Dic₁₄₆	C₂³	semidirect
255. C₄×D₂₉₂	C₂³	semidirect
256. C₄×D₂₉₂	C₂³	semidirect
258. #14556551	C₂³	semidirect
259. #14556549	C₂³	semidirect
261. #14556548	C₂³	semidirect
262. #14556548	C₂³	semidirect
322. C₄⋊Q₈×C₇₃	C₂³	semidirect
323. #126×C₇₃	C₂³	semidirect
324. #126×C₇₃	C₂³	semidirect
327. C₂²⋊Q₈×C₇₃	C₂³	semidirect
328. C₄×Q₈×C₇₃	C₂³	semidirect
329. C₄×Q₈×C₇₃	C₂³	semidirect
330. C₄×Q₈×C₇₃	C₂³	semidirect
332. #117×C₇₃	C₂³	semidirect
650. C₂×C₇₃	#3561	semidirect
662. C₂×#556	D₇₃	semidirect
682. C₇₃	C₂×#3561	semidirect
692. #556	C₂×D₇₃	semidirect
715. C₂×C₄⋊Q₈	C₂×D₇₃	semidirect
723. C₂×#126	C₂×D₇₃	semidirect
724. C₂×#126	C₂×D₇₃	semidirect
770. C₂×C₂²⋊Q₈	C₂×D₇₃	semidirect
783. C₂×C₄×Q₈	C₂×D₇₃	semidirect
784. C₂×C₄×Q₈	C₂×D₇₃	semidirect
785. C₂×C₄×Q₈	C₂×D₇₃	semidirect
799. C₂×#117	C₂×D₇₃	semidirect
854. C₄⋊Q₈	C₂²×D₇₃	semidirect
861. #126	C₂²×D₇₃	semidirect
862. #126	C₂²×D₇₃	semidirect
907. C₂²⋊Q₈	C₂²×D₇₃	semidirect
920. C₄×Q₈	C₂²×D₇₃	semidirect
921. C₄×Q₈	C₂²×D₇₃	semidirect
922. C₄×Q₈	C₂²×D₇₃	semidirect
936. #117	C₂²×D₇₃	semidirect
1311. C₂	#22624500	direct (N × H)

Maximal subgroups

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

subgroup	index
#22624500	2
C₂×#17989339	2
C₂×#17989333	2
C₂×#17989310	2
C₂×#17989262	2
C₂×#17989261	2
C₂×Q₈×D₂₉₂	2
C₂×#17989252	2
C₂×#17989249	2
C₂×#17989245	2
C₂×#17989232	2
C₂×#17989230	2
C₂×#17989212	2
C₂×#17989209	2
C₂×#17989208	2
C₂×#17989203	2
C₂×#17989202	2
C₂×#17989176	2
C₂×#17989162	2
C₂×#17989157	2
C₂×#17989141	2
C₂×#17989124	2
C₂×#124×D₇₃	2
C₂×#556×C₇₃	2
C₂×#3561	73

Subgroups — C2×#22624500 #33993334

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₂×#22624500 #33993334