Subgroups — C₂×#22623623 #33994032

Order 18688.

7390 conjugacy classes of subgroups.

The subgroup lattice has 1136 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#22623623	C₂	1	32	yes	maximal, direct product factor
2	C₂×#17989278	C₂	1	2	yes	maximal, complemented
3	C₂×#17989276	C₂	1	2	yes	maximal, complemented
4	C₂×#17989273	C₂	1	2	yes	maximal, complemented
5	C₂×#17989269	C₂	1	2	yes	maximal, complemented
6	C₂×#17989267	C₂	1	2	yes	maximal, complemented
7	C₂×#17989266	C₂	1	2	yes	maximal, complemented
8	C₂×#17989262	C₂	1	2	yes	maximal, complemented
9	C₂×#17989261	C₂	1	2	yes	maximal, complemented
10	C₂×#17989212	C₂	1	1	yes	maximal, characteristic, complemented
11	C₂×#17989186	C₂	1	1	yes	maximal, characteristic, complemented
12	C₂×#17989182	C₂	1	1	yes	maximal, characteristic, complemented
13	C₂×#17989179	C₂	1	2	yes	maximal, complemented
14	C₂×#17989145	C₂	1	1	yes	maximal, characteristic
15	C₂×#17989121	C₂	1	1	yes	maximal, characteristic, complemented
16	C₂×#17989114	C₂	1	2	yes	maximal, complemented
17	C₂×#123×D₇₃	C₂	1	2	yes	maximal, complemented
18	C₂×#17989059	C₂	1	2	yes	maximal, complemented
19	C₂²×#14556548	C₂	1	1	yes	maximal, characteristic, complemented
20	C₂×#529×C₇₃	C₂	1	1	yes	maximal, characteristic, complemented
21	C₂²×D₄×D₇₃	C₂²	1	2	yes	—
22	C₂³×C₄×D₇₃	C₂²	1	1	yes	characteristic
23	#17989278	C₂²	1	32	yes	complemented
24	#17989276	C₂²	1	32	yes	complemented
25	#17989273	C₂²	1	32	yes	complemented
26	#17989269	C₂²	1	32	yes	complemented
27	#17989267	C₂²	1	32	yes	complemented
28	#17989266	C₂²	1	32	yes	complemented
29	#17989262	C₂²	1	32	yes	complemented
30	#17989261	C₂²	1	32	yes	complemented
31	#17989212	C₂²	1	16	yes	complemented
32	#17989186	C₂²	1	16	yes	complemented
33	#17989182	C₂²	1	16	yes	complemented
34	#17989179	C₂²	1	32	yes	complemented
35	#17989145	C₂²	1	16	yes	—
36	#17989121	C₂²	1	16	yes	complemented
37	#17989114	C₂²	1	32	yes	complemented
38	C₂×#14556586	C₂²	1	2	yes	complemented
39	C₂×#14556586	C₂²	1	2	yes	complemented
40	C₂×#14556585	C₂²	1	2	yes	complemented
41	C₂×#14556585	C₂²	1	2	yes	complemented
42	C₂×#14556584	C₂²	1	2	yes	complemented
43	C₂×#14556584	C₂²	1	2	yes	complemented
44	C₂×#14556584	C₂²	1	2	yes	complemented
45	C₂×#14556583	C₂²	1	2	yes	complemented
46	C₂×#14556583	C₂²	1	1	yes	characteristic, complemented
47	C₂×#14556582	C₂²	1	2	yes	complemented
48	C₂×#14556581	C₂²	1	2	yes	complemented
49	C₂×#14556581	C₂²	1	2	yes	complemented
50	C₂×#14556581	C₂²	1	2	yes	complemented
51	C₂×#14556579	C₂²	1	1	yes	characteristic, complemented
52	C₂×#14556577	C₂²	1	2	yes	complemented
53	C₂×#14556576	C₂²	1	2	yes	—
54	C₂×#14556576	C₂²	1	2	yes	—
55	C₂×#14556576	C₂²	1	2	yes	—
56	C₂×#14556576	C₂²	1	2	yes	complemented
57	C₂×#14556575	C₂²	1	2	yes	complemented
58	C₂×#14556574	C₂²	1	2	yes	complemented
59	C₂×#14556574	C₂²	1	2	yes	complemented
60	C₂×#14556573	C₂²	1	2	yes	—
61	C₂×#14556573	C₂²	1	2	yes	—
62	C₂×#14556573	C₂²	1	2	yes	—
63	C₂×#14556573	C₂²	1	2	yes	complemented
64	C₂×#14556572	C₂²	1	2	yes	complemented
65	C₂×#14556572	C₂²	1	2	yes	complemented
66	#123×D₇₃	C₂²	1	32	yes	complemented
67	C₂×#14556571	C₂²	1	2	yes	complemented
68	C₂×#14556570	C₂²	1	2	yes	complemented
69	C₂×#14556570	C₂²	1	1	yes	characteristic, complemented
70	C₂×#14556569	C₂²	1	2	yes	complemented
71	C₂×#14556569	C₂²	1	2	yes	complemented
72	C₂×#14556569	C₂²	1	2	yes	complemented
73	C₂×#14556568	C₂²	1	2	yes	complemented
74	C₂×#14556568	C₂²	1	2	yes	complemented
75	C₂×#14556567	C₂²	1	2	yes	complemented
76	C₂×#14556567	C₂²	1	2	yes	complemented
77	C₂×#14556565	C₂²	1	1	yes	characteristic
78	C₂×#14556563	C₂²	1	2	yes	—
79	C₂×#14556561	C₂²	1	2	yes	—
80	C₂×#14556559	C₂²	1	2	yes	—
81	#17989059	C₂²	1	32	yes	complemented
82	C₂×C₄×Dic₁₄₆	C₂²	1	1	yes	characteristic, complemented
83	C₂×#14556556	C₂²	1	2	yes	complemented
84	C₂×C₄×D₂₉₂	C₂²	1	2	yes	—
85	C₂×C₄×D₂₉₂	C₂²	1	1	yes	characteristic, complemented
86	C₂×D₄×Dic₇₃	C₂²	1	2	yes	complemented
87	C₂×#14556553	C₂²	1	2	yes	—
88	C₂×C₄×C₂²⋊D₇₃	C₂²	1	2	yes	—
89	C₂×C₄×C₂²⋊D₇₃	C₂²	1	2	yes	complemented
90	C₂×#14556551	C₂²	1	2	yes	—
91	C₂×#14556551	C₂²	1	2	yes	complemented
92	C₂×#14556551	C₂²	1	2	yes	complemented
93	C₂×#14556549	C₂²	1	2	yes	complemented
94	C₂×#14556549	C₂²	1	2	yes	complemented
95	C₂×#14556548	C₂²	1	2	yes	complemented
96	C₂×#14556548	C₂²	1	2	yes	complemented
97	C₂×#14556548	C₂²	1	2	yes	complemented
98	C₂×#14556548	C₂²	1	2	yes	complemented
99	C₂×#14556548	C₂²	1	2	yes	complemented
100	C₂×#14556548	C₂²	1	2	yes	complemented
101	C₂×#14556548	C₂²	1	16	yes	complemented
102	C₂×#14556547	C₂²	1	2	yes	complemented
103	C₂²×#11924007	C₂²	1	1	yes	characteristic, complemented
104	C₂²×#11924007	C₂²	1	1	yes	characteristic, complemented
105	C₂×C₄⋊C₄×D₇₃	C₂²	1	2	yes	complemented
106	C₂×C₄⋊C₄×D₇₃	C₂²	1	2	yes	complemented
107	C₂²×#11924005	C₂²	1	1	yes	characteristic
108	C₂²×#11924005	C₂²	1	1	yes	characteristic
109	C₂²×#11924005	C₂²	1	2	yes	complemented
110	C₂×C₂²⋊C₄×D₇₃	C₂²	1	2	yes	—
111	C₂×C₂²⋊C₄×D₇₃	C₂²	1	2	yes	complemented
112	C₂×C₂²⋊C₄×D₇₃	C₂²	1	2	yes	complemented
113	C₂×C₂²⋊C₄×D₇₃	C₂²	1	2	yes	complemented
114	C₂²×C₄×Dic₇₃	C₂²	1	1	yes	characteristic, complemented
115	#529×C₇₃	C₂²	1	16	yes	complemented
116	C₂×#126×C₇₃	C₂²	1	2	yes	complemented
117	C₂×#125×C₇₃	C₂²	1	1	yes	characteristic, complemented
118	C₂×#124×C₇₃	C₂²	1	1	yes	characteristic, complemented
119	C₂×#123×C₇₃	C₂²	1	2	yes	complemented
120	C₂×C₂²⋊Q₈×C₇₃	C₂²	1	1	yes	characteristic, complemented
121	C₂×#121×C₇₃	C₂²	1	1	yes	characteristic
122	C₂×C₄×Q₈×C₇₃	C₂²	1	1	yes	characteristic, complemented
123	C₂×C₄×D₄×C₇₃	C₂²	1	2	yes	complemented
124	C₂×C₄×D₄×C₇₃	C₂²	1	1	yes	characteristic, complemented
125	C₂×#117×C₇₃	C₂²	1	2	yes	complemented
126	C₂²×C₄²×C₇₃	C₂²	1	1	yes	characteristic, complemented
127	C₂⁴×D₇₃	C₂³	1	2	yes	—
128	C₂⁴×D₇₃	C₂³	1	1	yes	characteristic
129	C₂²×Dic₁₄₆	C₂³	1	2	yes	—
130	C₂²×Dic₁₄₆	C₂³	1	1	yes	characteristic
131	C₂²×D₂₉₂	C₂³	1	2	yes	—
132	C₂²×D₂₉₂	C₂³	1	1	yes	characteristic
133	C₂²×C₂²⋊D₇₃	C₂³	1	2	yes	—
134	C₂²×C₂²⋊D₇₃	C₂³	1	2	yes	—
135	C₂²×C₂²⋊D₇₃	C₂³	1	2	yes	—
136	C₂×D₄×D₇₃	—	2	16	no	—
137	C₂×D₄×D₇₃	C₂³	1	16	yes	—
138	C₂³×Dic₇₃	C₂³	1	1	yes	characteristic
139	C₂³×Dic₇₃	C₂³	1	1	yes	characteristic
140	C₂³×Dic₇₃	C₂³	1	1	yes	characteristic
141	C₂³×Dic₇₃	C₂³	1	2	yes	—
142	C₂²×C₄×D₇₃	—	2	8	no	—
143	C₂²×C₄×D₇₃	C₂³	1	2	yes	—
144	C₂²×C₄×D₇₃	C₂³	1	2	yes	—
145	C₂²×C₄×D₇₃	C₂³	1	8	yes	—
146	C₂²×C₄×D₇₃	C₂³	1	2	yes	—
147	C₂²×C₄×D₇₃	C₂³	1	2	yes	—
148	C₂²×C₄×D₇₃	C₂³	1	2	yes	—
149	C₂²×C₄×D₇₃	C₂³	1	2	yes	—
150	C₂²×C₄×D₇₃	C₂³	1	2	yes	—
151	#14556586	C₂³	1	16	yes	complemented
152	#14556586	C₂³	1	16	yes	complemented
153	#14556585	C₂³	1	16	yes	complemented
154	#14556585	C₂³	1	16	yes	complemented
155	#14556584	C₂³	1	16	yes	complemented
156	#14556584	C₂³	1	16	yes	complemented
157	#14556584	C₂³	1	16	yes	complemented
158	#14556583	C₂³	1	8	yes	complemented
159	#14556583	C₂³	1	16	yes	complemented
160	#14556582	C₂³	1	16	yes	complemented
161	#14556581	C₂³	1	16	yes	complemented
162	#14556581	C₂³	1	16	yes	complemented
163	#14556581	C₂³	1	16	yes	complemented
164	#14556579	C₂³	1	8	yes	complemented
165	#14556577	C₂³	1	16	yes	complemented
166	#14556576	C₂³	1	16	yes	—
167	#14556576	C₂³	1	16	yes	—
168	#14556576	C₂³	1	16	yes	—
169	#14556576	C₂³	1	16	yes	complemented
170	#14556575	C₂³	1	16	yes	complemented
171	#14556574	C₂³	1	16	yes	complemented
172	#14556574	C₂³	1	16	yes	complemented
173	#14556573	C₂³	1	16	yes	—
174	#14556573	C₂³	1	16	yes	—
175	#14556573	C₂³	1	16	yes	—
176	#14556573	C₂³	1	16	yes	complemented
177	#14556572	C₂³	1	16	yes	complemented
178	#14556572	C₂³	1	16	yes	complemented
179	#14556571	C₂³	1	16	yes	complemented
180	#14556570	C₂³	1	8	yes	complemented
181	#14556570	C₂³	1	16	yes	complemented
182	#14556569	C₂³	1	16	yes	complemented
183	#14556569	C₂³	1	16	yes	complemented
184	#14556569	C₂³	1	16	yes	complemented
185	#14556568	C₂³	1	16	yes	complemented
186	#14556568	C₂³	1	16	yes	complemented
187	#14556567	C₂³	1	16	yes	complemented
188	#14556567	C₂³	1	16	yes	complemented
189	#14556565	C₂³	1	8	yes	—
190	#14556563	C₂³	1	16	yes	—
191	#14556561	C₂³	1	16	yes	—
192	#14556559	C₂³	1	16	yes	—
193	C₄×Dic₁₄₆	C₂³	1	8	yes	complemented
194	#14556556	C₂³	1	16	yes	complemented
195	C₄×D₂₉₂	C₂³	1	16	yes	—
196	C₄×D₂₉₂	C₂³	1	8	yes	complemented
197	D₄×Dic₇₃	C₂³	1	16	yes	complemented
198	#14556553	C₂³	1	16	yes	—
199	C₄×C₂²⋊D₇₃	C₂³	1	16	yes	—
200	C₄×C₂²⋊D₇₃	C₂³	1	16	yes	complemented
201	#14556551	C₂³	1	16	yes	—
202	#14556551	C₂³	1	16	yes	complemented
203	#14556551	C₂³	1	16	yes	complemented
204	#14556549	C₂³	1	16	yes	complemented
205	#14556549	C₂³	1	16	yes	complemented
206	#14556548	C₂³	1	16	yes	complemented
207	#14556548	C₂³	1	16	yes	complemented
208	#14556548	C₂³	1	16	yes	complemented
209	#14556548	C₂³	1	16	yes	complemented
210	#14556548	C₂³	1	16	yes	complemented
211	#14556548	C₂³	1	16	yes	complemented
212	#14556547	C₂³	1	16	yes	complemented
213	C₂×C₄⋊Dic₇₃	C₂³	1	2	yes	—
214	C₂×C₄⋊Dic₇₃	C₂³	1	2	yes	—
215	C₂×C₄⋊Dic₇₃	C₂³	1	2	yes	—
216	C₂×C₄⋊Dic₇₃	C₂³	1	2	yes	—
217	C₂×C₄⋊Dic₇₃	C₂³	1	1	yes	characteristic
218	C₂×C₄⋊Dic₇₃	C₂³	1	1	yes	characteristic
219	C₂×#11924007	C₂³	1	2	yes	—
220	C₂×#11924007	C₂³	1	2	yes	—
221	C₂×#11924007	C₂³	1	2	yes	—
222	C₂×#11924007	C₂³	1	2	yes	—
223	C₂×#11924007	C₂³	1	2	yes	—
224	C₂×#11924007	C₂³	1	2	yes	—
225	C₂×#11924007	C₂³	1	2	yes	—
226	C₂×#11924007	C₂³	1	2	yes	—
227	C₂×#11924007	C₂³	1	2	yes	—
228	C₂×#11924007	C₂³	1	2	yes	—
229	C₂×#11924007	C₂³	1	2	yes	—
230	C₂×#11924007	C₂³	1	2	yes	—
231	C₂×#11924007	C₂³	1	2	yes	—
232	C₂×#11924007	C₂³	1	2	yes	—
233	C₂×#11924007	C₂³	1	8	yes	complemented
234	C₂×#11924007	C₂³	1	8	yes	complemented
235	C₄⋊C₄×D₇₃	C₂³	1	16	yes	complemented
236	C₄⋊C₄×D₇₃	C₂³	1	16	yes	complemented
237	C₂×C₂²⋊Dic₇₃	C₂³	1	2	yes	—
238	C₂×C₂²⋊Dic₇₃	C₂³	1	2	yes	—
239	C₂×C₂²⋊Dic₇₃	C₂³	1	2	yes	—
240	C₂×C₂²⋊Dic₇₃	C₂³	1	2	yes	—
241	C₂×C₂²⋊Dic₇₃	C₂³	1	2	yes	—
242	C₂×#11924005	C₂³	1	8	yes	—
243	C₂×#11924005	C₂³	1	2	yes	—
244	C₂×#11924005	C₂³	1	2	yes	—
245	C₂×#11924005	C₂³	1	2	yes	—
246	C₂×#11924005	C₂³	1	2	yes	—
247	C₂×#11924005	C₂³	1	2	yes	—
248	C₂×#11924005	C₂³	1	2	yes	—
249	C₂×#11924005	C₂³	1	2	yes	—
250	C₂×#11924005	C₂³	1	2	yes	—
251	C₂×#11924005	C₂³	1	8	yes	—
252	C₂×#11924005	C₂³	1	2	yes	—
253	C₂×#11924005	C₂³	1	2	yes	—
254	C₂×#11924005	C₂³	1	2	yes	—
255	C₂×#11924005	C₂³	1	2	yes	—
256	C₂×#11924005	C₂³	1	2	yes	—
257	C₂×#11924005	C₂³	1	2	yes	—
258	C₂×#11924005	C₂³	1	16	yes	complemented
259	C₂²⋊C₄×D₇₃	C₂³	1	16	yes	—
260	C₂²⋊C₄×D₇₃	C₂³	1	16	yes	complemented
261	C₂²⋊C₄×D₇₃	C₂³	1	16	yes	complemented
262	C₂²⋊C₄×D₇₃	C₂³	1	16	yes	complemented
263	C₂×C₄×Dic₇₃	C₂³	1	2	yes	—
264	C₂×C₄×Dic₇₃	C₂³	1	2	yes	—
265	C₂×C₄×Dic₇₃	C₂³	1	2	yes	—
266	C₂×C₄×Dic₇₃	C₂³	1	2	yes	—
267	C₂×C₄×Dic₇₃	C₂³	1	2	yes	—
268	C₂×C₄×Dic₇₃	C₂³	1	8	yes	complemented
269	C₂²×Q₈×C₇₃	C₂³	1	1	yes	characteristic
270	C₂²×D₄×C₇₃	C₂³	1	2	yes	—
271	C₂²×D₄×C₇₃	C₂³	1	1	yes	characteristic
272	C₂³×C₄×C₇₃	C₂³	1	1	yes	characteristic
273	C₂³×C₄×C₇₃	C₂³	1	1	yes	characteristic
274	C₂³×C₄×C₇₃	C₂³	1	1	yes	characteristic
275	C₂³×C₄×C₇₃	C₂³	1	2	yes	—
276	#126×C₇₃	C₂³	1	16	yes	complemented
277	#125×C₇₃	C₂³	1	8	yes	complemented
278	#124×C₇₃	C₂³	1	8	yes	complemented
279	#123×C₇₃	C₂³	1	16	yes	complemented
280	C₂²⋊Q₈×C₇₃	C₂³	1	8	yes	complemented
281	#121×C₇₃	C₂³	1	8	yes	—
282	C₄×Q₈×C₇₃	C₂³	1	8	yes	complemented
283	C₄×D₄×C₇₃	C₂³	1	16	yes	complemented
284	C₄×D₄×C₇₃	C₂³	1	8	yes	complemented
285	#117×C₇₃	C₂³	1	16	yes	complemented
286	C₂×C₄⋊C₄×C₇₃	C₂³	1	2	yes	—
287	C₂×C₄⋊C₄×C₇₃	C₂³	1	2	yes	—
288	C₂×C₄⋊C₄×C₇₃	C₂³	1	1	yes	characteristic
289	C₂×C₄⋊C₄×C₇₃	C₂³	1	2	yes	—
290	C₂×C₄⋊C₄×C₇₃	C₂³	1	1	yes	characteristic
291	C₂×C₄⋊C₄×C₇₃	C₂³	1	2	yes	—
292	C₂×C₂²⋊C₄×C₇₃	C₂³	1	2	yes	—
293	C₂×C₂²⋊C₄×C₇₃	C₂³	1	2	yes	—
294	C₂×C₂²⋊C₄×C₇₃	C₂³	1	2	yes	—
295	C₂×C₂²⋊C₄×C₇₃	C₂³	1	2	yes	—
296	C₂×C₂²⋊C₄×C₇₃	C₂³	1	2	yes	—
297	C₂×C₄²×C₇₃	C₂³	1	1	yes	characteristic
298	C₂×C₄²×C₇₃	C₂³	1	1	yes	characteristic
299	C₂×C₄²×C₇₃	C₂³	1	1	yes	characteristic
300	C₂×C₄²×C₇₃	C₂³	1	1	yes	characteristic
301	C₂×C₄²×C₇₃	C₂³	1	2	yes	—
302	C₂×C₄²×C₇₃	C₂³	1	8	yes	complemented
303	C₂³×D₇₃	—	2	8	no	—
304	C₂³×D₇₃	—	4	2	no	—
305	C₂³×D₇₃	—	4	2	no	—
306	C₂³×D₇₃	—	4	4	no	—
307	C₂³×D₇₃	—	4	4	no	—
308	C₂³×D₇₃	#41	1	8	yes	—
309	C₂³×D₇₃	C₂⁴	1	2	yes	—
310	C₂³×D₇₃	C₂⁴	1	2	yes	—
311	C₂³×D₇₃	C₂⁴	1	8	yes	—
312	C₂³×D₇₃	C₂⁴	1	4	yes	—
313	C₂×Dic₁₄₆	—	4	4	no	—
314	C₂×Dic₁₄₆	—	4	2	no	—
315	C₂×Dic₁₄₆	C₂⁴	1	8	yes	—
316	C₂×Dic₁₄₆	C₂⁴	1	4	yes	—
317	C₂×D₂₉₂	—	2	8	no	—
318	C₂×D₂₉₂	—	4	2	no	—
319	C₂×D₂₉₂	C₂⁴	1	8	yes	—
320	C₂×D₂₉₂	C₂⁴	1	4	yes	—
321	C₂×C₂²⋊D₇₃	—	2	8	no	—
322	C₂×C₂²⋊D₇₃	—	2	8	no	—
323	C₂×C₂²⋊D₇₃	—	4	4	no	—
324	C₂×C₂²⋊D₇₃	C₂⁴	1	8	yes	—
325	C₂×C₂²⋊D₇₃	C₂⁴	1	8	yes	—
326	C₂×C₂²⋊D₇₃	C₂⁴	1	8	yes	—
327	D₄×D₇₃	—	2	64	no	—
328	C₂²×Dic₇₃	—	2	4	no	—
329	C₂²×Dic₇₃	—	4	2	no	—
330	C₂²×Dic₇₃	—	4	4	no	—
331	C₂²×Dic₇₃	—	4	2	no	—
332	C₂²×Dic₇₃	C₂⁴	1	2	yes	—
333	C₂²×Dic₇₃	C₂⁴	1	2	yes	—
334	C₂²×Dic₇₃	C₂⁴	1	2	yes	—
335	C₂²×Dic₇₃	C₂⁴	1	2	yes	—
336	C₂²×Dic₇₃	C₂⁴	1	2	yes	—
337	C₂²×Dic₇₃	C₂⁴	1	2	yes	—
338	C₂²×Dic₇₃	C₂⁴	1	4	yes	—
339	C₂²×Dic₇₃	C₂⁴	1	4	yes	—
340	C₂²×Dic₇₃	C₂⁴	1	4	yes	—
341	C₂²×Dic₇₃	C₂⁴	1	8	yes	—
342	C₂×C₄×D₇₃	—	2	8	no	—
343	C₂×C₄×D₇₃	—	2	8	no	—
344	C₂×C₄×D₇₃	—	2	32	no	—
345	C₂×C₄×D₇₃	—	2	8	no	—
346	C₂×C₄×D₇₃	—	4	4	no	—
347	C₂×C₄×D₇₃	—	4	4	no	—
348	C₂×C₄×D₇₃	—	4	4	no	—
349	C₂×C₄×D₇₃	—	4	4	no	—
350	C₂×C₄×D₇₃	C₂⁴	1	8	yes	—
351	C₂×C₄×D₇₃	C₂⁴	1	8	yes	—
352	C₂×C₄×D₇₃	C₂⁴	1	8	yes	—
353	C₂×C₄×D₇₃	C₂⁴	1	8	yes	—
354	C₂×C₄×D₇₃	C₂⁴	1	8	yes	—
355	C₂×C₄×D₇₃	C₂⁴	1	8	yes	—
356	C₂×C₄×D₇₃	C₂⁴	1	8	yes	—
357	C₄⋊Dic₇₃	C₂⁴	1	8	yes	—
358	C₄⋊Dic₇₃	C₂⁴	1	8	yes	—
359	C₄⋊Dic₇₃	C₂⁴	1	8	yes	—
360	C₄⋊Dic₇₃	C₂⁴	1	8	yes	—
361	C₄⋊Dic₇₃	C₂⁴	1	4	yes	—
362	C₄⋊Dic₇₃	C₂⁴	1	4	yes	—
363	#11924007	C₂⁴	1	8	yes	—
364	#11924007	C₂⁴	1	8	yes	—
365	#11924007	C₂⁴	1	8	yes	—
366	#11924007	C₂⁴	1	8	yes	—
367	#11924007	C₂⁴	1	8	yes	—
368	#11924007	C₂⁴	1	8	yes	—
369	#11924007	C₂⁴	1	8	yes	—
370	#11924007	C₂⁴	1	8	yes	—
371	#11924007	C₂⁴	1	8	yes	—
372	#11924007	C₂⁴	1	8	yes	—
373	#11924007	C₂⁴	1	8	yes	—
374	#11924007	C₂⁴	1	8	yes	—
375	#11924007	C₂⁴	1	8	yes	—
376	#11924007	C₂⁴	1	8	yes	—
377	C₂²⋊Dic₇₃	C₂⁴	1	8	yes	—
378	C₂²⋊Dic₇₃	C₂⁴	1	8	yes	—
379	C₂²⋊Dic₇₃	C₂⁴	1	8	yes	—
380	C₂²⋊Dic₇₃	C₂⁴	1	8	yes	—
381	C₂²⋊Dic₇₃	C₂⁴	1	8	yes	—
382	#11924005	C₂⁴	1	8	yes	—
383	#11924005	C₂⁴	1	8	yes	—
384	#11924005	C₂⁴	1	8	yes	—
385	#11924005	C₂⁴	1	8	yes	—
386	#11924005	C₂⁴	1	8	yes	—
387	#11924005	C₂⁴	1	8	yes	—
388	#11924005	C₂⁴	1	8	yes	—
389	#11924005	C₂⁴	1	8	yes	—
390	#11924005	C₂⁴	1	8	yes	—
391	#11924005	C₂⁴	1	8	yes	—
392	#11924005	C₂⁴	1	8	yes	—
393	#11924005	C₂⁴	1	8	yes	—
394	#11924005	C₂⁴	1	8	yes	—
395	#11924005	C₂⁴	1	8	yes	—
396	C₄×Dic₇₃	C₂⁴	1	8	yes	—
397	C₄×Dic₇₃	C₂⁴	1	8	yes	—
398	C₄×Dic₇₃	C₂⁴	1	8	yes	—
399	C₄×Dic₇₃	C₂⁴	1	8	yes	—
400	C₄×Dic₇₃	C₂⁴	1	8	yes	—
401	C₂⁴×C₇₃	C₂⁴	1	2	yes	—
402	C₂⁴×C₇₃	C₂⁴	1	1	yes	characteristic
403	C₂×Q₈×C₇₃	—	4	2	no	—
404	C₂×Q₈×C₇₃	C₂⁴	1	4	yes	—
405	C₂×D₄×C₇₃	—	2	8	no	—
406	C₂×D₄×C₇₃	—	4	2	no	—
407	C₂×D₄×C₇₃	C₂⁴	1	8	yes	—
408	C₂×D₄×C₇₃	C₂⁴	1	4	yes	—
409	C₂²×C₄×C₇₃	—	2	4	no	—
410	C₂²×C₄×C₇₃	—	4	2	no	—
411	C₂²×C₄×C₇₃	—	4	4	no	—
412	C₂²×C₄×C₇₃	—	4	2	no	—
413	C₂²×C₄×C₇₃	C₂⁴	1	1	yes	characteristic
414	C₂²×C₄×C₇₃	C₂⁴	1	1	yes	characteristic
415	C₂²×C₄×C₇₃	C₂⁴	1	1	yes	characteristic
416	C₂²×C₄×C₇₃	C₂⁴	1	1	yes	characteristic
417	C₂²×C₄×C₇₃	C₂⁴	1	1	yes	characteristic
418	C₂²×C₄×C₇₃	C₂⁴	1	1	yes	characteristic
419	C₂²×C₄×C₇₃	C₂⁴	1	2	yes	—
420	C₂²×C₄×C₇₃	C₂⁴	1	2	yes	—
421	C₂²×C₄×C₇₃	C₂⁴	1	4	yes	—
422	C₂²×C₄×C₇₃	C₂⁴	1	2	yes	—
423	C₂²×C₄×C₇₃	C₂⁴	1	4	yes	—
424	C₂²×C₄×C₇₃	C₂⁴	1	4	yes	—
425	C₂²×C₄×C₇₃	C₂⁴	1	8	yes	—
426	C₄⋊C₄×C₇₃	C₂⁴	1	8	yes	—
427	C₄⋊C₄×C₇₃	C₂⁴	1	8	yes	—
428	C₄⋊C₄×C₇₃	C₂⁴	1	4	yes	—
429	C₄⋊C₄×C₇₃	C₂⁴	1	8	yes	—
430	C₄⋊C₄×C₇₃	C₂⁴	1	4	yes	—
431	C₄⋊C₄×C₇₃	C₂⁴	1	8	yes	—
432	C₂²⋊C₄×C₇₃	C₂⁴	1	8	yes	—
433	C₂²⋊C₄×C₇₃	C₂⁴	1	8	yes	—
434	C₂²⋊C₄×C₇₃	C₂⁴	1	8	yes	—
435	C₂²⋊C₄×C₇₃	C₂⁴	1	8	yes	—
436	C₂²⋊C₄×C₇₃	C₂⁴	1	8	yes	—
437	C₄²×C₇₃	C₂⁴	1	4	yes	—
438	C₄²×C₇₃	C₂⁴	1	4	yes	—
439	C₄²×C₇₃	C₂⁴	1	4	yes	—
440	C₄²×C₇₃	C₂⁴	1	4	yes	—
441	C₄²×C₇₃	C₂⁴	1	8	yes	—
442	C₂³×C₇₃	—	2	2	no	—
443	C₂³×C₇₃	—	2	2	no	—
444	C₂³×C₇₃	—	2	4	no	—
445	C₂³×C₇₃	—	2	4	no	—
446	C₂³×C₇₃	—	2	4	no	—
447	C₂³×C₇₃	C₂×#41	1	4	yes	—
448	C₂³×C₇₃	C₂⁵	1	4	yes	—
449	C₂³×C₇₃	C₂⁵	1	2	yes	—
450	C₂³×C₇₃	C₂⁵	1	1	yes	characteristic
451	C₂²×D₇₃	—	2	4	no	—
452	C₂²×D₇₃	—	2	4	no	—
453	C₂²×D₇₃	—	2	4	no	—
454	C₂²×D₇₃	—	2	4	no	—
455	C₂²×D₇₃	—	2	4	no	—
456	C₂²×D₇₃	—	2	16	no	—
457	C₂²×D₇₃	—	4	16	no	—
458	C₂²×D₇₃	—	4	4	no	—
459	C₂²×D₇₃	—	4	4	no	—
460	C₂²×D₇₃	—	4	8	no	—
461	C₂²×D₇₃	—	4	8	no	—
462	C₂²×D₇₃	—	8	16	no	—
463	C₂²×D₇₃	C₂×#41	1	8	yes	—
464	C₂²×D₇₃	C₂×#41	1	16	yes	—
465	C₂²×D₇₃	C₂⁵	1	4	yes	—
466	C₂²×D₇₃	C₂⁵	1	4	yes	—
467	Q₈×C₇₃	—	4	4	no	—
468	D₄×C₇₃	—	2	16	no	—
469	D₄×C₇₃	—	4	4	no	—
470	C₂×C₄×C₇₃	—	2	8	no	—
471	C₂×C₄×C₇₃	—	2	2	no	—
472	C₂×C₄×C₇₃	—	2	2	no	—
473	C₂×C₄×C₇₃	—	2	4	no	—
474	C₂×C₄×C₇₃	—	2	2	no	—
475	C₂×C₄×C₇₃	—	2	2	no	—
476	C₂×C₄×C₇₃	—	2	2	no	—
477	C₂×C₄×C₇₃	—	2	4	no	—
478	C₂×C₄×C₇₃	—	2	2	no	—
479	C₂×C₄×C₇₃	—	2	4	no	—
480	C₂×C₄×C₇₃	—	4	8	no	—
481	C₂×C₄×C₇₃	—	4	4	no	—
482	C₂×C₄×C₇₃	—	4	4	no	—
483	C₂×C₄×C₇₃	C₂⁵	1	2	yes	—
484	C₂×C₄×C₇₃	C₂⁵	1	2	yes	—
485	C₂×C₄×C₇₃	C₂⁵	1	2	yes	—
486	C₂×C₄×C₇₃	C₂⁵	1	2	yes	—
487	C₂×C₄×C₇₃	C₂⁵	1	2	yes	—
488	C₂×C₄×C₇₃	C₂⁵	1	2	yes	—
489	C₂×C₄×C₇₃	C₂⁵	1	4	yes	—
490	C₂×C₄×C₇₃	C₂⁵	1	4	yes	—
491	C₂×C₄×C₇₃	C₂⁵	1	4	yes	—
492	C₂²⋊D₇₃	—	2	16	no	—
493	C₂²⋊D₇₃	—	2	16	no	—
494	C₂²⋊D₇₃	—	4	8	no	—
495	C₂×Dic₇₃	—	2	8	no	—
496	C₂×Dic₇₃	—	2	4	no	—
497	C₂×Dic₇₃	—	2	4	no	—
498	C₂×Dic₇₃	—	2	4	no	—
499	C₂×Dic₇₃	—	2	4	no	—
500	C₂×Dic₇₃	—	2	4	no	—
501	C₂×Dic₇₃	—	2	4	no	—
502	C₂×Dic₇₃	—	4	8	no	—
503	C₂×Dic₇₃	—	4	4	no	—
504	C₂×Dic₇₃	—	4	4	no	—
505	C₂×Dic₇₃	C₂⁵	1	4	yes	—
506	C₂×Dic₇₃	C₂⁵	1	4	yes	—
507	C₂×Dic₇₃	C₂⁵	1	4	yes	—
508	C₂×Dic₇₃	C₂⁵	1	4	yes	—
509	C₂×Dic₇₃	C₂⁵	1	4	yes	—
510	C₂×Dic₇₃	C₂⁵	1	4	yes	—
511	D₂₉₂	—	2	16	no	—
512	D₂₉₂	—	4	4	no	—
513	C₄×D₇₃	—	2	16	no	—
514	C₄×D₇₃	—	2	16	no	—
515	C₄×D₇₃	—	2	16	no	—
516	C₄×D₇₃	—	4	8	no	—
517	C₄×D₇₃	—	4	8	no	—
518	C₄×D₇₃	—	4	8	no	—
519	C₄×D₇₃	—	4	8	no	—
520	Dic₁₄₆	—	4	8	no	—
521	Dic₁₄₆	—	4	4	no	—
522	C₂²×C₇₃	—	2	2	no	—
523	C₂²×C₇₃	—	2	2	no	—
524	C₂²×C₇₃	—	2	8	no	—
525	C₂²×C₇₃	—	2	4	no	—
526	C₂²×C₇₃	—	2	4	no	—
527	C₂²×C₇₃	—	2	4	no	—
528	C₂²×C₇₃	—	4	8	no	—
529	C₂²×C₇₃	C₂²×#41	1	4	yes	—
530	C₂²×C₇₃	C₂²×#41	1	2	yes	—
531	C₂²×C₇₃	#585	1	2	yes	—
532	C₂²×C₇₃	#585	1	2	yes	—
533	C₂²×C₇₃	C₂⁶	1	1	yes	characteristic
534	C₂×D₇₃	—	2	4	no	—
535	C₂×D₇₃	—	2	4	no	—
536	C₂×D₇₃	—	2	16	no	—
537	C₂×D₇₃	—	2	4	no	—
538	C₂×D₇₃	—	2	4	no	—
539	C₂×D₇₃	—	2	4	no	—
540	C₂×D₇₃	—	4	16	no	—
541	C₂×D₇₃	—	4	8	no	—
542	C₂×D₇₃	—	8	16	no	—
543	C₂×D₇₃	C₂²×#41	1	8	yes	—
544	C₄×C₇₃	—	2	2	no	—
545	C₄×C₇₃	—	2	2	no	—
546	C₄×C₇₃	—	2	4	no	—
547	C₄×C₇₃	—	2	4	no	—
548	C₄×C₇₃	—	2	2	no	—
549	C₄×C₇₃	—	2	2	no	—
550	C₄×C₇₃	—	2	4	no	—
551	C₄×C₇₃	—	2	2	no	—
552	C₄×C₇₃	—	2	2	no	—
553	Dic₇₃	—	2	4	no	—
554	Dic₇₃	—	2	4	no	—
555	Dic₇₃	—	2	4	no	—
556	Dic₇₃	—	2	4	no	—
557	Dic₇₃	—	2	4	no	—
558	Dic₇₃	—	2	4	no	—
559	C₂×#3491	—	73	1	no	maximal, Sylow
560	C₂×C₇₃	—	2	4	no	—
561	C₂×C₇₃	—	4	4	no	—
562	C₂×C₇₃	#3491	1	4	yes	complemented
563	C₂×C₇₃	C₂³×#41	1	1	yes	characteristic
564	C₂×C₇₃	C₂×#585	1	1	yes	characteristic
565	C₂×C₇₃	C₂×#585	1	1	yes	characteristic
566	D₇₃	—	2	8	no	—
567	D₇₃	—	4	4	no	—
568	#3491	—	73	32	no	—
569	C₂×#552	—	73	2	no	—
570	C₂×#552	—	73	2	no	—
571	C₂×#552	—	73	2	no	—
572	C₂×#552	—	73	2	no	—
573	C₂×#551	—	73	2	no	—
574	C₂×#551	—	73	2	no	—
575	C₂×#551	—	73	2	no	—
576	C₂×#551	—	73	2	no	—
577	C₂×#543	—	73	1	no	—
578	C₂×#539	—	73	1	no	—
579	C₂×#539	—	73	1	no	—
580	C₂×#539	—	73	2	no	—
581	C₂×#534	—	73	1	no	—
582	C₂×#529	—	73	1	no	—
583	C₂×#529	—	73	2	no	—
584	C₂×#529	D₇₃	1	1	yes	characteristic, complemented
585	C₂²×#123	—	73	2	no	—
586	C₂×#518	—	73	2	no	—
587	C₂²×#117	—	73	1	no	—
588	C₇₃	C₂×#3491	1	1	yes	characteristic, complemented, Sylow
589	C₂³×D₄	—	73	2	no	—
590	C₂⁴×C₄	—	73	1	no	—
591	#552	—	73	32	no	—
592	#552	—	73	32	no	—
593	#552	—	73	32	no	—
594	#552	—	73	32	no	—
595	#551	—	73	32	no	—
596	#551	—	73	32	no	—
597	#551	—	73	32	no	—
598	#551	—	73	32	no	—
599	#543	—	73	16	no	—
600	#539	—	73	16	no	—
601	#539	—	73	16	no	—
602	#539	—	73	32	no	—
603	#534	—	73	16	no	—
604	#529	—	73	32	no	—
605	#529	—	73	16	no	—
606	#529	C₂×D₇₃	1	16	yes	complemented
607	C₂×#126	—	73	2	no	—
608	C₂×#126	—	73	2	no	—
609	C₂×#126	—	73	2	no	—
610	C₂×#126	—	73	2	no	—
611	C₂×#126	—	73	2	no	—
612	C₂×#126	—	73	2	no	—
613	C₂×#126	—	73	2	no	—
614	C₂×#126	C₂×D₇₃	1	2	yes	complemented
615	C₂×#125	—	73	2	no	—
616	C₂×#125	—	73	2	no	—
617	C₂×#125	—	73	2	no	—
618	C₂×#125	—	73	2	no	—
619	C₂×#125	—	73	1	no	—
620	C₂×#125	—	73	2	no	—
621	C₂×#125	C₂×D₇₃	1	1	yes	characteristic, complemented
622	C₂×#124	—	73	2	no	—
623	C₂×#124	—	73	1	no	—
624	C₂×#124	C₂×D₇₃	1	1	yes	characteristic, complemented
625	C₂×#123	—	73	2	no	—
626	C₂×#123	—	73	2	no	—
627	C₂×#123	—	73	2	no	—
628	C₂×#123	—	73	2	no	—
629	C₂×#123	—	73	32	no	—
630	C₂×#123	—	73	2	no	—
631	C₂×#123	—	73	2	no	—
632	C₂×#123	—	73	2	no	—
633	C₂×#123	—	73	2	no	—
634	C₂×#123	—	73	2	no	—
635	C₂×#123	—	73	2	no	—
636	C₂×#123	—	73	2	no	—
637	C₂×#123	—	73	2	no	—
638	C₂×#123	—	73	2	no	—
639	C₂×#123	C₂×D₇₃	1	2	yes	complemented
640	C₂×C₂²⋊Q₈	—	73	2	no	—
641	C₂×C₂²⋊Q₈	—	73	2	no	—
642	C₂×C₂²⋊Q₈	—	73	1	no	—
643	C₂×C₂²⋊Q₈	—	73	2	no	—
644	C₂×C₂²⋊Q₈	—	73	2	no	—
645	C₂×C₂²⋊Q₈	—	73	2	no	—
646	C₂×C₂²⋊Q₈	—	73	2	no	—
647	C₂×C₂²⋊Q₈	—	73	2	no	—
648	C₂×C₂²⋊Q₈	—	73	2	no	—
649	C₂×C₂²⋊Q₈	—	73	2	no	—
650	C₂×C₂²⋊Q₈	C₂×D₇₃	1	1	yes	characteristic, complemented
651	C₂×#121	—	73	2	no	—
652	C₂×#121	—	73	1	no	—
653	C₂×#121	C₂×D₇₃	1	1	yes	characteristic
654	C₂×#120	—	73	2	no	—
655	C₂×#120	—	73	2	no	—
656	#518	—	73	32	no	—
657	C₂×C₄×Q₈	—	73	2	no	—
658	C₂×C₄×Q₈	—	73	1	no	—
659	C₂×C₄×Q₈	C₂×D₇₃	1	1	yes	characteristic, complemented
660	C₂×C₄×D₄	—	73	2	no	—
661	C₂×C₄×D₄	—	73	2	no	—
662	C₂×C₄×D₄	—	73	2	no	—
663	C₂×C₄×D₄	—	73	2	no	—
664	C₂×C₄×D₄	—	73	2	no	—
665	C₂×C₄×D₄	—	73	2	no	—
666	C₂×C₄×D₄	—	73	2	no	—
667	C₂×C₄×D₄	—	73	2	no	—
668	C₂×C₄×D₄	—	73	1	no	—
669	C₂×C₄×D₄	C₂×D₇₃	1	2	yes	complemented
670	C₂×C₄×D₄	C₂×D₇₃	1	1	yes	characteristic, complemented
671	C₂×#117	—	73	2	no	—
672	C₂×#117	—	73	2	no	—
673	C₂×#117	—	73	2	no	—
674	C₂×#117	—	73	2	no	—
675	C₂×#117	—	73	2	no	—
676	C₂×#117	—	73	2	no	—
677	C₂×#117	—	73	2	no	—
678	C₂×#117	—	73	2	no	—
679	C₂×#117	—	73	2	no	—
680	C₂×#117	—	73	16	no	—
681	C₂×#117	C₂×D₇₃	1	2	yes	complemented
682	C₂²×C₄⋊C₄	—	73	1	no	—
683	C₂²×C₄⋊C₄	—	73	1	no	—
684	C₂²×C₄⋊C₄	—	73	2	no	—
685	C₂²×C₄⋊C₄	—	73	2	no	—
686	C₂²×C₂²⋊C₄	—	73	1	no	—
687	C₂²×C₂²⋊C₄	—	73	1	no	—
688	C₂²×C₂²⋊C₄	—	73	2	no	—
689	C₂²×C₂²⋊C₄	—	73	2	no	—
690	C₂²×C₂²⋊C₄	—	73	2	no	—
691	C₂²×C₂²⋊C₄	—	73	2	no	—
692	C₂²×C₂²⋊C₄	—	73	2	no	—
693	C₂²×C₄²	—	73	1	no	—
694	C₂²×C₄²	C₂×D₇₃	1	1	yes	characteristic, complemented
695	C₂⁵	—	73	1	no	—
696	C₂⁵	—	73	2	no	—
697	C₂²×Q₈	—	73	2	no	—
698	C₂²×Q₈	—	73	1	no	—
699	C₂²×Q₈	C₂²×D₇₃	1	1	yes	characteristic
700	C₂²×D₄	—	73	2	no	—
701	C₂²×D₄	—	73	2	no	—
702	C₂²×D₄	—	73	2	no	—
703	C₂²×D₄	—	73	16	no	—
704	C₂²×D₄	—	73	1	no	—
705	C₂²×D₄	—	73	2	no	—
706	C₂²×D₄	—	146	16	no	—
707	C₂²×D₄	C₂²×D₇₃	1	2	yes	—
708	C₂²×D₄	C₂²×D₇₃	1	1	yes	characteristic
709	C₂³×C₄	—	73	1	no	—
710	C₂³×C₄	—	73	1	no	—
711	C₂³×C₄	—	73	2	no	—
712	C₂³×C₄	—	73	2	no	—
713	C₂³×C₄	—	73	2	no	—
714	C₂³×C₄	—	73	2	no	—
715	C₂³×C₄	—	73	2	no	—
716	C₂³×C₄	—	73	1	no	—
717	C₂³×C₄	—	73	2	no	—
718	C₂³×C₄	—	73	2	no	—
719	C₂³×C₄	—	73	2	no	—
720	C₂³×C₄	—	73	8	no	—
721	C₂³×C₄	—	146	8	no	—
722	C₂³×C₄	C₂²×D₇₃	1	1	yes	characteristic
723	C₂³×C₄	C₂²×D₇₃	1	1	yes	characteristic
724	C₂³×C₄	C₂²×D₇₃	1	1	yes	characteristic
725	C₂³×C₄	C₂²×D₇₃	1	2	yes	—
726	#126	—	73	16	no	—
727	#126	—	73	16	no	—
728	#126	—	73	16	no	—
729	#126	—	73	16	no	—
730	#126	—	73	16	no	—
731	#126	—	73	16	no	—
732	#126	—	73	16	no	—
733	#126	C₂²×D₇₃	1	16	yes	complemented
734	#125	—	73	16	no	—
735	#125	—	73	16	no	—
736	#125	—	73	16	no	—
737	#125	—	73	16	no	—
738	#125	—	73	8	no	—
739	#125	—	73	16	no	—
740	#125	C₂²×D₇₃	1	8	yes	complemented
741	#124	—	73	16	no	—
742	#124	—	73	8	no	—
743	#124	C₂²×D₇₃	1	8	yes	complemented
744	#123	—	73	16	no	—
745	#123	—	73	16	no	—
746	#123	—	73	16	no	—
747	#123	—	73	16	no	—
748	#123	—	73	16	no	—
749	#123	—	73	16	no	—
750	#123	—	73	16	no	—
751	#123	—	73	16	no	—
752	#123	—	73	16	no	—
753	#123	—	73	16	no	—
754	#123	—	73	16	no	—
755	#123	—	73	16	no	—
756	#123	—	73	16	no	—
757	#123	C₂²×D₇₃	1	16	yes	complemented
758	C₂²⋊Q₈	—	73	16	no	—
759	C₂²⋊Q₈	—	73	16	no	—
760	C₂²⋊Q₈	—	73	8	no	—
761	C₂²⋊Q₈	—	73	16	no	—
762	C₂²⋊Q₈	—	73	16	no	—
763	C₂²⋊Q₈	—	73	16	no	—
764	C₂²⋊Q₈	—	73	16	no	—
765	C₂²⋊Q₈	—	73	16	no	—
766	C₂²⋊Q₈	—	73	16	no	—
767	C₂²⋊Q₈	—	73	16	no	—
768	C₂²⋊Q₈	C₂²×D₇₃	1	8	yes	complemented
769	#121	—	73	16	no	—
770	#121	—	73	8	no	—
771	#121	C₂²×D₇₃	1	8	yes	—
772	#120	—	73	16	no	—
773	#120	—	73	16	no	—
774	C₄×Q₈	—	73	16	no	—
775	C₄×Q₈	—	73	8	no	—
776	C₄×Q₈	C₂²×D₇₃	1	8	yes	complemented
777	C₄×D₄	—	73	16	no	—
778	C₄×D₄	—	73	16	no	—
779	C₄×D₄	—	73	16	no	—
780	C₄×D₄	—	73	16	no	—
781	C₄×D₄	—	73	16	no	—
782	C₄×D₄	—	73	16	no	—
783	C₄×D₄	—	73	16	no	—
784	C₄×D₄	—	73	16	no	—
785	C₄×D₄	—	73	8	no	—
786	C₄×D₄	C₂²×D₇₃	1	16	yes	complemented
787	C₄×D₄	C₂²×D₇₃	1	8	yes	complemented
788	#117	—	73	16	no	—
789	#117	—	73	16	no	—
790	#117	—	73	16	no	—
791	#117	—	73	16	no	—
792	#117	—	73	16	no	—
793	#117	—	73	16	no	—
794	#117	—	73	16	no	—
795	#117	—	73	16	no	—
796	#117	—	73	16	no	—
797	#117	C₂²×D₇₃	1	16	yes	complemented
798	C₂×C₄⋊C₄	—	73	2	no	—
799	C₂×C₄⋊C₄	—	73	2	no	—
800	C₂×C₄⋊C₄	—	73	2	no	—
801	C₂×C₄⋊C₄	—	73	2	no	—
802	C₂×C₄⋊C₄	—	73	8	no	—
803	C₂×C₄⋊C₄	—	73	8	no	—
804	C₂×C₄⋊C₄	—	73	2	no	—
805	C₂×C₄⋊C₄	—	73	2	no	—
806	C₂×C₄⋊C₄	—	73	2	no	—
807	C₂×C₄⋊C₄	—	73	2	no	—
808	C₂×C₄⋊C₄	—	73	2	no	—
809	C₂×C₄⋊C₄	—	73	2	no	—
810	C₂×C₄⋊C₄	—	73	2	no	—
811	C₂×C₄⋊C₄	—	73	2	no	—
812	C₂×C₄⋊C₄	—	73	2	no	—
813	C₂×C₄⋊C₄	—	73	2	no	—
814	C₂×C₄⋊C₄	—	73	2	no	—
815	C₂×C₄⋊C₄	—	73	2	no	—
816	C₂×C₄⋊C₄	—	73	2	no	—
817	C₂×C₄⋊C₄	—	73	1	no	—
818	C₂×C₄⋊C₄	—	73	2	no	—
819	C₂×C₄⋊C₄	—	73	1	no	—
820	C₂×C₄⋊C₄	—	73	16	no	—
821	C₂×C₄⋊C₄	—	73	16	no	—
822	C₂×C₄⋊C₄	C₂²×D₇₃	1	2	yes	—
823	C₂×C₄⋊C₄	C₂²×D₇₃	1	2	yes	—
824	C₂×C₄⋊C₄	C₂²×D₇₃	1	2	yes	—
825	C₂×C₄⋊C₄	C₂²×D₇₃	1	2	yes	—
826	C₂×C₄⋊C₄	C₂²×D₇₃	1	1	yes	characteristic
827	C₂×C₄⋊C₄	C₂²×D₇₃	1	1	yes	characteristic
828	C₂×C₂²⋊C₄	—	73	2	no	—
829	C₂×C₂²⋊C₄	—	73	2	no	—
830	C₂×C₂²⋊C₄	—	73	2	no	—
831	C₂×C₂²⋊C₄	—	73	2	no	—
832	C₂×C₂²⋊C₄	—	73	2	no	—
833	C₂×C₂²⋊C₄	—	73	2	no	—
834	C₂×C₂²⋊C₄	—	73	2	no	—
835	C₂×C₂²⋊C₄	—	73	2	no	—
836	C₂×C₂²⋊C₄	—	73	2	no	—
837	C₂×C₂²⋊C₄	—	73	8	no	—
838	C₂×C₂²⋊C₄	—	73	2	no	—
839	C₂×C₂²⋊C₄	—	73	2	no	—
840	C₂×C₂²⋊C₄	—	73	8	no	—
841	C₂×C₂²⋊C₄	—	73	2	no	—
842	C₂×C₂²⋊C₄	—	73	2	no	—
843	C₂×C₂²⋊C₄	—	73	2	no	—
844	C₂×C₂²⋊C₄	—	73	2	no	—
845	C₂×C₂²⋊C₄	—	73	16	no	—
846	C₂×C₂²⋊C₄	—	73	2	no	—
847	C₂×C₂²⋊C₄	—	73	2	no	—
848	C₂×C₂²⋊C₄	—	73	2	no	—
849	C₂×C₂²⋊C₄	—	73	2	no	—
850	C₂×C₂²⋊C₄	—	73	16	no	—
851	C₂×C₂²⋊C₄	—	73	16	no	—
852	C₂×C₂²⋊C₄	—	73	16	no	—
853	C₂×C₂²⋊C₄	—	73	16	no	—
854	C₂×C₂²⋊C₄	C₂²×D₇₃	1	2	yes	—
855	C₂×C₂²⋊C₄	C₂²×D₇₃	1	2	yes	—
856	C₂×C₂²⋊C₄	C₂²×D₇₃	1	2	yes	—
857	C₂×C₂²⋊C₄	C₂²×D₇₃	1	2	yes	—
858	C₂×C₂²⋊C₄	C₂²×D₇₃	1	2	yes	—
859	C₂×C₄²	—	73	2	no	—
860	C₂×C₄²	—	73	2	no	—
861	C₂×C₄²	—	73	2	no	—
862	C₂×C₄²	—	73	2	no	—
863	C₂×C₄²	—	73	2	no	—
864	C₂×C₄²	—	73	8	no	—
865	C₂×C₄²	C₂²×D₇₃	1	1	yes	characteristic
866	C₂×C₄²	C₂²×D₇₃	1	1	yes	characteristic
867	C₂×C₄²	C₂²×D₇₃	1	1	yes	characteristic
868	C₂×C₄²	C₂²×D₇₃	1	1	yes	characteristic
869	C₂×C₄²	C₂²×D₇₃	1	2	yes	—
870	C₂×C₄²	C₂²×D₇₃	1	8	yes	complemented
871	C₂⁴	—	292	2	no	—
872	C₂⁴	—	292	2	no	—
873	C₂⁴	—	292	4	no	—
874	C₂⁴	—	292	4	no	—
875	C₂⁴	—	73	8	no	—
876	C₂⁴	—	73	4	no	—
877	C₂⁴	—	73	8	no	—
878	C₂⁴	—	73	2	no	—
879	C₂⁴	—	73	2	no	—
880	C₂⁴	—	146	8	no	—
881	C₂⁴	C₂³×D₇₃	1	2	yes	—
882	C₂⁴	C₂³×D₇₃	1	1	yes	characteristic
883	C₂×Q₈	—	4	2	no	—
884	C₂×Q₈	—	292	4	no	—
885	C₂×Q₈	—	292	2	no	—
886	C₂×Q₈	—	73	8	no	—
887	C₂×Q₈	—	73	4	no	—
888	C₂×Q₈	C₂³×D₇₃	1	4	yes	—
889	C₂×D₄	—	2	8	no	—
890	C₂×D₄	—	4	2	no	—
891	C₂×D₄	—	292	2	no	—
892	C₂×D₄	—	292	4	no	—
893	C₂×D₄	—	73	8	no	—
894	C₂×D₄	—	73	8	no	—
895	C₂×D₄	—	73	8	no	—
896	C₂×D₄	—	73	4	no	—
897	C₂×D₄	—	73	8	no	—
898	C₂×D₄	—	146	8	no	—
899	C₂×D₄	—	146	64	no	—
900	C₂×D₄	—	146	8	no	—
901	C₂×D₄	—	146	8	no	—
902	C₂×D₄	C₂³×D₇₃	1	8	yes	—
903	C₂×D₄	C₂³×D₇₃	1	4	yes	—
904	C₂²×C₄	—	2	4	no	—
905	C₂²×C₄	—	4	2	no	—
906	C₂²×C₄	—	4	4	no	—
907	C₂²×C₄	—	4	2	no	—
908	C₂²×C₄	—	292	4	no	—
909	C₂²×C₄	—	292	4	no	—
910	C₂²×C₄	—	292	4	no	—
911	C₂²×C₄	—	292	4	no	—
912	C₂²×C₄	—	292	2	no	—
913	C₂²×C₄	—	292	4	no	—
914	C₂²×C₄	—	292	2	no	—
915	C₂²×C₄	—	73	4	no	—
916	C₂²×C₄	—	73	4	no	—
917	C₂²×C₄	—	73	8	no	—
918	C₂²×C₄	—	73	8	no	—
919	C₂²×C₄	—	73	8	no	—
920	C₂²×C₄	—	73	8	no	—
921	C₂²×C₄	—	73	8	no	—
922	C₂²×C₄	—	73	4	no	—
923	C₂²×C₄	—	73	2	no	—
924	C₂²×C₄	—	73	2	no	—
925	C₂²×C₄	—	73	2	no	—
926	C₂²×C₄	—	73	2	no	—
927	C₂²×C₄	—	73	2	no	—
928	C₂²×C₄	—	73	2	no	—
929	C₂²×C₄	—	73	8	no	—
930	C₂²×C₄	—	73	8	no	—
931	C₂²×C₄	—	73	8	no	—
932	C₂²×C₄	—	146	32	no	—
933	C₂²×C₄	—	146	8	no	—
934	C₂²×C₄	—	146	8	no	—
935	C₂²×C₄	—	146	8	no	—
936	C₂²×C₄	—	146	4	no	—
937	C₂²×C₄	C₂³×D₇₃	1	4	yes	—
938	C₂²×C₄	C₂³×D₇₃	1	1	yes	characteristic
939	C₂²×C₄	C₂³×D₇₃	1	1	yes	characteristic
940	C₂²×C₄	C₂³×D₇₃	1	1	yes	characteristic
941	C₂²×C₄	C₂³×D₇₃	1	2	yes	—
942	C₂²×C₄	C₂³×D₇₃	1	2	yes	—
943	C₂²×C₄	C₂³×D₇₃	1	1	yes	characteristic
944	C₂²×C₄	C₂³×D₇₃	1	1	yes	characteristic
945	C₂²×C₄	C₂³×D₇₃	1	1	yes	characteristic
946	C₂²×C₄	C₂³×D₇₃	1	2	yes	—
947	C₂²×C₄	C₂³×D₇₃	1	4	yes	—
948	C₂²×C₄	C₂³×D₇₃	1	4	yes	—
949	C₂²×C₄	C₂³×D₇₃	1	8	yes	—
950	C₄⋊C₄	—	73	8	no	—
951	C₄⋊C₄	—	73	8	no	—
952	C₄⋊C₄	—	73	8	no	—
953	C₄⋊C₄	—	73	8	no	—
954	C₄⋊C₄	—	73	8	no	—
955	C₄⋊C₄	—	73	8	no	—
956	C₄⋊C₄	—	73	8	no	—
957	C₄⋊C₄	—	73	8	no	—
958	C₄⋊C₄	—	73	8	no	—
959	C₄⋊C₄	—	73	8	no	—
960	C₄⋊C₄	—	73	8	no	—
961	C₄⋊C₄	—	73	8	no	—
962	C₄⋊C₄	—	73	8	no	—
963	C₄⋊C₄	—	73	8	no	—
964	C₄⋊C₄	—	73	8	no	—
965	C₄⋊C₄	—	73	8	no	—
966	C₄⋊C₄	—	73	8	no	—
967	C₄⋊C₄	—	73	8	no	—
968	C₄⋊C₄	—	73	4	no	—
969	C₄⋊C₄	—	73	4	no	—
970	C₄⋊C₄	C₂³×D₇₃	1	8	yes	—
971	C₄⋊C₄	C₂³×D₇₃	1	8	yes	—
972	C₄⋊C₄	C₂³×D₇₃	1	8	yes	—
973	C₄⋊C₄	C₂³×D₇₃	1	8	yes	—
974	C₄⋊C₄	C₂³×D₇₃	1	4	yes	—
975	C₄⋊C₄	C₂³×D₇₃	1	4	yes	—
976	C₂²⋊C₄	—	73	8	no	—
977	C₂²⋊C₄	—	73	8	no	—
978	C₂²⋊C₄	—	73	8	no	—
979	C₂²⋊C₄	—	73	8	no	—
980	C₂²⋊C₄	—	73	8	no	—
981	C₂²⋊C₄	—	73	8	no	—
982	C₂²⋊C₄	—	73	8	no	—
983	C₂²⋊C₄	—	73	8	no	—
984	C₂²⋊C₄	—	73	8	no	—
985	C₂²⋊C₄	—	73	8	no	—
986	C₂²⋊C₄	—	73	8	no	—
987	C₂²⋊C₄	—	73	8	no	—
988	C₂²⋊C₄	—	73	8	no	—
989	C₂²⋊C₄	—	73	8	no	—
990	C₂²⋊C₄	—	73	8	no	—
991	C₂²⋊C₄	—	73	8	no	—
992	C₂²⋊C₄	—	73	8	no	—
993	C₂²⋊C₄	—	73	8	no	—
994	C₂²⋊C₄	—	73	8	no	—
995	C₂²⋊C₄	C₂³×D₇₃	1	8	yes	—
996	C₂²⋊C₄	C₂³×D₇₃	1	8	yes	—
997	C₂²⋊C₄	C₂³×D₇₃	1	8	yes	—
998	C₂²⋊C₄	C₂³×D₇₃	1	8	yes	—
999	C₂²⋊C₄	C₂³×D₇₃	1	8	yes	—
1000	C₄²	—	73	8	no	—
1001	C₄²	—	73	8	no	—
1002	C₄²	—	73	8	no	—
1003	C₄²	—	73	8	no	—
1004	C₄²	—	73	8	no	—
1005	C₄²	C₂³×D₇₃	1	4	yes	—
1006	C₄²	C₂³×D₇₃	1	4	yes	—
1007	C₄²	C₂³×D₇₃	1	4	yes	—
1008	C₄²	C₂³×D₇₃	1	4	yes	—
1009	C₄²	C₂³×D₇₃	1	8	yes	—
1010	C₂³	—	2	2	no	—
1011	C₂³	—	2	2	no	—
1012	C₂³	—	2	4	no	—
1013	C₂³	—	2	4	no	—
1014	C₂³	—	2	4	no	—
1015	C₂³	—	292	16	no	—
1016	C₂³	—	292	4	no	—
1017	C₂³	—	292	4	no	—
1018	C₂³	—	292	8	no	—
1019	C₂³	—	292	8	no	—
1020	C₂³	—	584	16	no	—
1021	C₂³	—	73	16	no	—
1022	C₂³	—	73	8	no	—
1023	C₂³	—	73	4	no	—
1024	C₂³	—	73	4	no	—
1025	C₂³	—	146	16	no	—
1026	C₂³	—	146	4	no	—
1027	C₂³	—	146	4	no	—
1028	C₂³	—	146	4	no	—
1029	C₂³	—	146	4	no	—
1030	C₂³	—	146	4	no	—
1031	C₂³	#41×D₇₃	1	4	yes	—
1032	C₂³	C₂⁴×D₇₃	1	4	yes	—
1033	C₂³	C₂⁴×D₇₃	1	2	yes	—
1034	C₂³	C₂⁴×D₇₃	1	1	yes	characteristic
1035	Q₈	—	4	4	no	—
1036	Q₈	—	292	8	no	—
1037	Q₈	—	292	4	no	—
1038	D₄	—	2	16	no	—
1039	D₄	—	4	4	no	—
1040	D₄	—	292	4	no	—
1041	D₄	—	292	8	no	—
1042	D₄	—	146	16	no	—
1043	D₄	—	146	16	no	—
1044	D₄	—	146	16	no	—
1045	C₂×C₄	—	2	8	no	—
1046	C₂×C₄	—	2	2	no	—
1047	C₂×C₄	—	2	2	no	—
1048	C₂×C₄	—	2	4	no	—
1049	C₂×C₄	—	2	2	no	—
1050	C₂×C₄	—	2	2	no	—
1051	C₂×C₄	—	2	4	no	—
1052	C₂×C₄	—	2	2	no	—
1053	C₂×C₄	—	2	2	no	—
1054	C₂×C₄	—	2	4	no	—
1055	C₂×C₄	—	4	4	no	—
1056	C₂×C₄	—	4	8	no	—
1057	C₂×C₄	—	4	4	no	—
1058	C₂×C₄	—	292	8	no	—
1059	C₂×C₄	—	292	8	no	—
1060	C₂×C₄	—	292	8	no	—
1061	C₂×C₄	—	292	8	no	—
1062	C₂×C₄	—	292	4	no	—
1063	C₂×C₄	—	292	8	no	—
1064	C₂×C₄	—	292	4	no	—
1065	C₂×C₄	—	73	4	no	—
1066	C₂×C₄	—	73	4	no	—
1067	C₂×C₄	—	73	4	no	—
1068	C₂×C₄	—	73	4	no	—
1069	C₂×C₄	—	73	4	no	—
1070	C₂×C₄	—	73	4	no	—
1071	C₂×C₄	—	146	16	no	—
1072	C₂×C₄	—	146	16	no	—
1073	C₂×C₄	—	146	16	no	—
1074	C₂×C₄	—	146	8	no	—
1075	C₂×C₄	—	146	4	no	—
1076	C₂×C₄	—	146	4	no	—
1077	C₂×C₄	—	146	4	no	—
1078	C₂×C₄	—	146	4	no	—
1079	C₂×C₄	—	146	4	no	—
1080	C₂×C₄	—	146	4	no	—
1081	C₂×C₄	C₂⁴×D₇₃	1	2	yes	—
1082	C₂×C₄	C₂⁴×D₇₃	1	2	yes	—
1083	C₂×C₄	C₂⁴×D₇₃	1	2	yes	—
1084	C₂×C₄	C₂⁴×D₇₃	1	4	yes	—
1085	C₂×C₄	C₂⁴×D₇₃	1	4	yes	—
1086	C₂×C₄	C₂⁴×D₇₃	1	2	yes	—
1087	C₂×C₄	C₂⁴×D₇₃	1	2	yes	—
1088	C₂×C₄	C₂⁴×D₇₃	1	2	yes	—
1089	C₂×C₄	C₂⁴×D₇₃	1	4	yes	—
1090	C₂²	—	2	8	no	—
1091	C₂²	—	2	2	no	—
1092	C₂²	—	2	2	no	—
1093	C₂²	—	2	4	no	—
1094	C₂²	—	2	4	no	—
1095	C₂²	—	2	4	no	—
1096	C₂²	—	4	8	no	—
1097	C₂²	—	292	16	no	—
1098	C₂²	—	292	8	no	—
1099	C₂²	—	584	16	no	—
1100	C₂²	—	73	8	no	—
1101	C₂²	—	146	4	no	—
1102	C₂²	—	146	4	no	—
1103	C₂²	—	146	4	no	—
1104	C₂²	—	146	16	no	—
1105	C₂²	—	146	4	no	—
1106	C₂²	—	146	4	no	—
1107	C₂²	C₂×#41×D₇₃	1	4	yes	—
1108	C₂²	C₂×#41×D₇₃	1	2	yes	—
1109	C₂²	#17989423	1	2	yes	—
1110	C₂²	#17989423	1	2	yes	—
1111	C₂²	C₂⁵×D₇₃	1	1	yes	characteristic
1112	C₄	—	2	2	no	—
1113	C₄	—	2	2	no	—
1114	C₄	—	2	4	no	—
1115	C₄	—	2	2	no	—
1116	C₄	—	2	2	no	—
1117	C₄	—	2	4	no	—
1118	C₄	—	2	2	no	—
1119	C₄	—	2	2	no	—
1120	C₄	—	2	4	no	—
1121	C₄	—	146	4	no	—
1122	C₄	—	146	4	no	—
1123	C₄	—	146	4	no	—
1124	C₄	—	146	4	no	—
1125	C₄	—	146	4	no	—
1126	C₄	—	146	4	no	—
1127	C₂	—	2	4	no	—
1128	C₂	—	4	4	no	—
1129	C₂	—	292	4	no	—
1130	C₂	—	146	8	no	—
1131	C₂	#22623623	1	4	yes	direct product factor
1132	C₂	C₂²×#41×D₇₃	1	1	yes	characteristic
1133	C₂	C₂×#17989423	1	1	yes	characteristic
1134	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×#529×C₇₃	C₂
socle	C₂³×C₇₃	C₂⁵
prime radical	C₂×#17989145	C₂
hypercenter	C₂×#529	D₇₃
hypocenter	C₇₃	C₂×#3491
LCS	G ▷ C₂²×C₇₃ ▷ C₇₃
UCS	C₁ ◁ C₂³ ◁ C₂×#529

Complements

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

N	H ≅ G/N	type
1. #22623623	C₂	direct (N × H)
2. C₂×#17989278	C₂	semidirect
3. C₂×#17989276	C₂	semidirect
4. C₂×#17989273	C₂	semidirect
5. C₂×#17989269	C₂	semidirect
6. C₂×#17989267	C₂	semidirect
7. C₂×#17989266	C₂	semidirect
8. C₂×#17989262	C₂	semidirect
9. C₂×#17989261	C₂	semidirect
10. C₂×#17989212	C₂	semidirect
11. C₂×#17989186	C₂	semidirect
12. C₂×#17989182	C₂	semidirect
13. C₂×#17989179	C₂	semidirect
15. C₂×#17989121	C₂	semidirect
16. C₂×#17989114	C₂	semidirect
17. C₂×#123×D₇₃	C₂	semidirect
18. C₂×#17989059	C₂	semidirect
19. C₂²×#14556548	C₂	semidirect
20. C₂×#529×C₇₃	C₂	semidirect
23. #17989278	C₂²	semidirect
24. #17989276	C₂²	semidirect
25. #17989273	C₂²	semidirect
26. #17989269	C₂²	semidirect
27. #17989267	C₂²	semidirect
28. #17989266	C₂²	semidirect
29. #17989262	C₂²	semidirect
30. #17989261	C₂²	semidirect
31. #17989212	C₂²	semidirect
32. #17989186	C₂²	semidirect
33. #17989182	C₂²	semidirect
34. #17989179	C₂²	semidirect
36. #17989121	C₂²	semidirect
37. #17989114	C₂²	semidirect
38. C₂×#14556586	C₂²	semidirect
39. C₂×#14556586	C₂²	semidirect
40. C₂×#14556585	C₂²	semidirect
41. C₂×#14556585	C₂²	semidirect
42. C₂×#14556584	C₂²	semidirect
43. C₂×#14556584	C₂²	semidirect
44. C₂×#14556584	C₂²	semidirect
45. C₂×#14556583	C₂²	semidirect
46. C₂×#14556583	C₂²	semidirect
47. C₂×#14556582	C₂²	semidirect
48. C₂×#14556581	C₂²	semidirect
49. C₂×#14556581	C₂²	semidirect
50. C₂×#14556581	C₂²	semidirect
51. C₂×#14556579	C₂²	semidirect
52. C₂×#14556577	C₂²	semidirect
56. C₂×#14556576	C₂²	semidirect
57. C₂×#14556575	C₂²	semidirect
58. C₂×#14556574	C₂²	semidirect
59. C₂×#14556574	C₂²	semidirect
63. C₂×#14556573	C₂²	semidirect
64. C₂×#14556572	C₂²	semidirect
65. C₂×#14556572	C₂²	semidirect
66. #123×D₇₃	C₂²	semidirect
67. C₂×#14556571	C₂²	semidirect
68. C₂×#14556570	C₂²	semidirect
69. C₂×#14556570	C₂²	semidirect
70. C₂×#14556569	C₂²	semidirect
71. C₂×#14556569	C₂²	semidirect
72. C₂×#14556569	C₂²	semidirect
73. C₂×#14556568	C₂²	semidirect
74. C₂×#14556568	C₂²	semidirect
75. C₂×#14556567	C₂²	semidirect
76. C₂×#14556567	C₂²	semidirect
81. #17989059	C₂²	semidirect
82. C₂×C₄×Dic₁₄₆	C₂²	semidirect
83. C₂×#14556556	C₂²	semidirect
85. C₂×C₄×D₂₉₂	C₂²	semidirect
86. C₂×D₄×Dic₇₃	C₂²	semidirect
89. C₂×C₄×C₂²⋊D₇₃	C₂²	semidirect
91. C₂×#14556551	C₂²	semidirect
92. C₂×#14556551	C₂²	semidirect
93. C₂×#14556549	C₂²	semidirect
94. C₂×#14556549	C₂²	semidirect
95. C₂×#14556548	C₂²	semidirect
96. C₂×#14556548	C₂²	semidirect
97. C₂×#14556548	C₂²	semidirect
98. C₂×#14556548	C₂²	semidirect
99. C₂×#14556548	C₂²	semidirect
100. C₂×#14556548	C₂²	semidirect
101. C₂×#14556548	C₂²	semidirect
102. C₂×#14556547	C₂²	semidirect
103. C₂²×#11924007	C₂²	semidirect
104. C₂²×#11924007	C₂²	semidirect
105. C₂×C₄⋊C₄×D₇₃	C₂²	semidirect
106. C₂×C₄⋊C₄×D₇₃	C₂²	semidirect
109. C₂²×#11924005	C₂²	semidirect
111. C₂×C₂²⋊C₄×D₇₃	C₂²	semidirect
112. C₂×C₂²⋊C₄×D₇₃	C₂²	semidirect
113. C₂×C₂²⋊C₄×D₇₃	C₂²	semidirect
114. C₂²×C₄×Dic₇₃	C₂²	semidirect
115. #529×C₇₃	C₂²	semidirect
116. C₂×#126×C₇₃	C₂²	semidirect
117. C₂×#125×C₇₃	C₂²	semidirect
118. C₂×#124×C₇₃	C₂²	semidirect
119. C₂×#123×C₇₃	C₂²	semidirect
120. C₂×C₂²⋊Q₈×C₇₃	C₂²	semidirect
122. C₂×C₄×Q₈×C₇₃	C₂²	semidirect
123. C₂×C₄×D₄×C₇₃	C₂²	semidirect
124. C₂×C₄×D₄×C₇₃	C₂²	semidirect
125. C₂×#117×C₇₃	C₂²	semidirect
126. C₂²×C₄²×C₇₃	C₂²	semidirect
151. #14556586	C₂³	semidirect
152. #14556586	C₂³	semidirect
153. #14556585	C₂³	semidirect
154. #14556585	C₂³	semidirect
155. #14556584	C₂³	semidirect
156. #14556584	C₂³	semidirect
157. #14556584	C₂³	semidirect
158. #14556583	C₂³	semidirect
159. #14556583	C₂³	semidirect
160. #14556582	C₂³	semidirect
161. #14556581	C₂³	semidirect
162. #14556581	C₂³	semidirect
163. #14556581	C₂³	semidirect
164. #14556579	C₂³	semidirect
165. #14556577	C₂³	semidirect
169. #14556576	C₂³	semidirect
170. #14556575	C₂³	semidirect
171. #14556574	C₂³	semidirect
172. #14556574	C₂³	semidirect
176. #14556573	C₂³	semidirect
177. #14556572	C₂³	semidirect
178. #14556572	C₂³	semidirect
179. #14556571	C₂³	semidirect
180. #14556570	C₂³	semidirect
181. #14556570	C₂³	semidirect
182. #14556569	C₂³	semidirect
183. #14556569	C₂³	semidirect
184. #14556569	C₂³	semidirect
185. #14556568	C₂³	semidirect
186. #14556568	C₂³	semidirect
187. #14556567	C₂³	semidirect
188. #14556567	C₂³	semidirect
193. C₄×Dic₁₄₆	C₂³	semidirect
194. #14556556	C₂³	semidirect
196. C₄×D₂₉₂	C₂³	semidirect
197. D₄×Dic₇₃	C₂³	semidirect
200. C₄×C₂²⋊D₇₃	C₂³	semidirect
202. #14556551	C₂³	semidirect
203. #14556551	C₂³	semidirect
204. #14556549	C₂³	semidirect
205. #14556549	C₂³	semidirect
206. #14556548	C₂³	semidirect
207. #14556548	C₂³	semidirect
208. #14556548	C₂³	semidirect
209. #14556548	C₂³	semidirect
210. #14556548	C₂³	semidirect
211. #14556548	C₂³	semidirect
212. #14556547	C₂³	semidirect
233. C₂×#11924007	C₂³	semidirect
234. C₂×#11924007	C₂³	semidirect
235. C₄⋊C₄×D₇₃	C₂³	semidirect
236. C₄⋊C₄×D₇₃	C₂³	semidirect
258. C₂×#11924005	C₂³	semidirect
260. C₂²⋊C₄×D₇₃	C₂³	semidirect
261. C₂²⋊C₄×D₇₃	C₂³	semidirect
262. C₂²⋊C₄×D₇₃	C₂³	semidirect
268. C₂×C₄×Dic₇₃	C₂³	semidirect
276. #126×C₇₃	C₂³	semidirect
277. #125×C₇₃	C₂³	semidirect
278. #124×C₇₃	C₂³	semidirect
279. #123×C₇₃	C₂³	semidirect
280. C₂²⋊Q₈×C₇₃	C₂³	semidirect
282. C₄×Q₈×C₇₃	C₂³	semidirect
283. C₄×D₄×C₇₃	C₂³	semidirect
284. C₄×D₄×C₇₃	C₂³	semidirect
285. #117×C₇₃	C₂³	semidirect
302. C₂×C₄²×C₇₃	C₂³	semidirect
562. C₂×C₇₃	#3491	semidirect
584. C₂×#529	D₇₃	semidirect
588. C₇₃	C₂×#3491	semidirect
606. #529	C₂×D₇₃	semidirect
614. C₂×#126	C₂×D₇₃	semidirect
621. C₂×#125	C₂×D₇₃	semidirect
624. C₂×#124	C₂×D₇₃	semidirect
639. C₂×#123	C₂×D₇₃	semidirect
650. C₂×C₂²⋊Q₈	C₂×D₇₃	semidirect
659. C₂×C₄×Q₈	C₂×D₇₃	semidirect
669. C₂×C₄×D₄	C₂×D₇₃	semidirect
670. C₂×C₄×D₄	C₂×D₇₃	semidirect
681. C₂×#117	C₂×D₇₃	semidirect
694. C₂²×C₄²	C₂×D₇₃	semidirect
733. #126	C₂²×D₇₃	semidirect
740. #125	C₂²×D₇₃	semidirect
743. #124	C₂²×D₇₃	semidirect
757. #123	C₂²×D₇₃	semidirect
768. C₂²⋊Q₈	C₂²×D₇₃	semidirect
776. C₄×Q₈	C₂²×D₇₃	semidirect
786. C₄×D₄	C₂²×D₇₃	semidirect
787. C₄×D₄	C₂²×D₇₃	semidirect
797. #117	C₂²×D₇₃	semidirect
870. C₂×C₄²	C₂²×D₇₃	semidirect
1131. C₂	#22623623	direct (N × H)

Maximal subgroups

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

subgroup	index
#22623623	2
C₂×#17989278	2
C₂×#17989276	2
C₂×#17989273	2
C₂×#17989269	2
C₂×#17989267	2
C₂×#17989266	2
C₂×#17989262	2
C₂×#17989261	2
C₂×#17989212	2
C₂×#17989186	2
C₂×#17989182	2
C₂×#17989179	2
C₂×#17989145	2
C₂×#17989121	2
C₂×#17989114	2
C₂×#123×D₇₃	2
C₂×#17989059	2
C₂²×#14556548	2
C₂×#529×C₇₃	2
C₂×#3491	73

Subgroups — C2×#22623623 #33994032

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₂×#22623623 #33994032