Subgroups — C₂×#22623563 #33993865

Order 18688.

14438 conjugacy classes of subgroups.

The subgroup lattice has 1124 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂²×#14556636	C₂	1	1	yes	maximal, characteristic, complemented
2	C₂³×D₄×D₇₃	C₂	1	1	yes	maximal, characteristic, complemented
3	#22623563	C₂	1	32	yes	maximal, direct product factor
4	C₂×#17989229	C₂	1	4	yes	maximal, complemented
5	C₂×#17989226	C₂	1	4	yes	maximal, complemented
6	C₂×#17989221	C₂	1	4	yes	maximal, complemented
7	C₂×#17989219	C₂	1	4	yes	maximal, complemented
8	C₂×#17989152	C₂	1	2	yes	maximal, complemented
9	C₂×#17989148	C₂	1	2	yes	maximal, complemented
10	C₂×#17989146	C₂	1	1	yes	maximal, characteristic, complemented
11	C₂×#17989095	C₂	1	2	yes	maximal, complemented
12	C₂²×#14556561	C₂	1	1	yes	maximal, characteristic, complemented
13	C₂²×#14556559	C₂	1	1	yes	maximal, characteristic, complemented
14	C₂×#120×D₇₃	C₂	1	2	yes	maximal, complemented
15	C₂×#17989060	C₂	1	1	yes	maximal, characteristic, complemented
16	C₂×#534×C₇₃	C₂	1	1	yes	maximal, characteristic, complemented
17	C₂⁵×D₇₃	C₂²	1	1	yes	characteristic, complemented
18	C₂⁵×D₇₃	C₂²	1	1	yes	characteristic, complemented
19	C₂×#14556636	—	2	16	no	—
20	C₂×#14556636	C₂²	1	16	yes	complemented
21	C₂²×#11924028	C₂²	1	2	yes	complemented
22	C₂²×#11924027	C₂²	1	2	yes	complemented
23	C₂²×#11924027	C₂²	1	2	yes	complemented
24	C₂³×D₂₉₂	C₂²	1	1	yes	characteristic, complemented
25	C₂³×D₂₉₂	C₂²	1	2	yes	complemented
26	C₂³×C₂²⋊D₇₃	C₂²	1	1	yes	characteristic
27	C₂³×C₂²⋊D₇₃	C₂²	1	1	yes	characteristic, complemented
28	C₂³×C₂²⋊D₇₃	C₂²	1	1	yes	characteristic, complemented
29	C₂³×C₂²⋊D₇₃	C₂²	1	2	yes	complemented
30	C₂³×C₂²⋊D₇₃	C₂²	1	2	yes	complemented
31	C₂²×D₄×D₇₃	—	2	16	no	—
32	C₂²×D₄×D₇₃	C₂²	1	4	yes	complemented
33	C₂²×D₄×D₇₃	C₂²	1	4	yes	complemented
34	C₂²×D₄×D₇₃	C₂²	1	2	yes	complemented
35	C₂²×D₄×D₇₃	C₂²	1	16	yes	complemented
36	C₂²×D₄×D₇₃	C₂²	1	2	yes	complemented
37	C₂²×D₄×D₇₃	C₂²	1	4	yes	complemented
38	C₂³×C₄×D₇₃	C₂²	1	1	yes	characteristic, complemented
39	#17989229	C₂²	1	64	yes	complemented
40	#17989226	C₂²	1	64	yes	complemented
41	#17989221	C₂²	1	64	yes	complemented
42	#17989219	C₂²	1	64	yes	complemented
43	#17989152	C₂²	1	32	yes	complemented
44	#17989148	C₂²	1	32	yes	complemented
45	#17989146	C₂²	1	16	yes	complemented
46	C₂×#14556587	C₂²	1	4	yes	complemented
47	C₂×#14556577	C₂²	1	4	yes	complemented
48	#17989095	C₂²	1	32	yes	complemented
49	C₂×#14556576	C₂²	1	4	yes	complemented
50	C₂×#14556574	C₂²	1	2	yes	complemented
51	C₂×#14556572	C₂²	1	2	yes	complemented
52	C₂×#14556569	C₂²	1	4	yes	complemented
53	C₂×#14556566	C₂²	1	4	yes	complemented
54	C₂×#14556564	C₂²	1	4	yes	complemented
55	C₂×#14556564	C₂²	1	4	yes	complemented
56	C₂×#14556564	C₂²	1	4	yes	complemented
57	C₂×#14556563	C₂²	1	4	yes	complemented
58	C₂×#14556563	C₂²	1	4	yes	complemented
59	C₂×#14556561	C₂²	1	2	yes	complemented
60	C₂×#14556561	C₂²	1	2	yes	complemented
61	C₂×#14556561	C₂²	1	4	yes	complemented
62	C₂×#14556561	C₂²	1	4	yes	complemented
63	C₂×#14556561	C₂²	1	4	yes	complemented
64	C₂×#14556561	C₂²	1	16	yes	complemented
65	C₂×#14556560	C₂²	1	2	yes	complemented
66	C₂×#14556559	C₂²	1	2	yes	complemented
67	C₂×#14556559	C₂²	1	2	yes	complemented
68	C₂×#14556559	C₂²	1	2	yes	complemented
69	C₂×#14556559	C₂²	1	4	yes	complemented
70	C₂×#14556559	C₂²	1	4	yes	complemented
71	C₂×#14556559	C₂²	1	16	yes	complemented
72	#120×D₇₃	C₂²	1	32	yes	complemented
73	#17989060	C₂²	1	16	yes	complemented
74	C₂×#14556553	C₂²	1	4	yes	complemented
75	C₂×C₄×C₂²⋊D₇₃	C₂²	1	4	yes	complemented
76	C₂×#14556551	C₂²	1	4	yes	complemented
77	C₂×#14556551	C₂²	1	4	yes	complemented
78	C₂×#14556547	C₂²	1	2	yes	complemented
79	C₂²×C₂²⋊Dic₇₃	C₂²	1	1	yes	characteristic, complemented
80	C₂²×#11924005	C₂²	1	2	yes	complemented
81	C₂²×#11924005	C₂²	1	2	yes	complemented
82	C₂×C₂²⋊C₄×D₇₃	C₂²	1	2	yes	complemented
83	C₂×C₂²⋊C₄×D₇₃	C₂²	1	4	yes	complemented
84	C₂³×D₄×C₇₃	C₂²	1	1	yes	characteristic, complemented
85	C₂³×D₄×C₇₃	C₂²	1	1	yes	characteristic, complemented
86	#534×C₇₃	C₂²	1	16	yes	complemented
87	C₂×#123×C₇₃	C₂²	1	2	yes	complemented
88	C₂×#123×C₇₃	C₂²	1	2	yes	complemented
89	C₂×#121×C₇₃	C₂²	1	4	yes	complemented
90	C₂×#120×C₇₃	C₂²	1	2	yes	complemented
91	C₂×#120×C₇₃	C₂²	1	2	yes	complemented
92	C₂²×C₂²⋊C₄×C₇₃	C₂²	1	1	yes	characteristic, complemented
93	C₂⁴×D₇₃	—	2	8	no	—
94	C₂⁴×D₇₃	—	2	8	no	—
95	C₂⁴×D₇₃	—	4	8	no	—
96	C₂⁴×D₇₃	—	4	8	no	—
97	C₂⁴×D₇₃	C₂³	1	1	yes	characteristic
98	C₂⁴×D₇₃	C₂³	1	4	yes	—
99	C₂⁴×D₇₃	C₂³	1	2	yes	—
100	C₂⁴×D₇₃	C₂³	1	2	yes	—
101	C₂⁴×D₇₃	C₂³	1	1	yes	characteristic
102	C₂⁴×D₇₃	C₂³	1	1	yes	characteristic
103	C₂⁴×D₇₃	C₂³	1	8	yes	complemented
104	C₂⁴×D₇₃	C₂³	1	8	yes	complemented
105	C₂⁴×D₇₃	C₂³	1	2	yes	complemented
106	C₂⁴×D₇₃	C₂³	1	1	yes	characteristic, complemented
107	#14556636	—	2	128	no	—
108	C₂×#11924028	—	2	16	no	—
109	C₂×#11924028	C₂³	1	16	yes	complemented
110	C₂×#11924027	—	2	16	no	—
111	C₂×#11924027	—	2	16	no	—
112	C₂×#11924027	C₂³	1	16	yes	complemented
113	C₂×#11924027	C₂³	1	16	yes	complemented
114	C₂²×Dic₁₄₆	C₂³	1	2	yes	complemented
115	C₂²×D₂₉₂	—	2	8	no	—
116	C₂²×D₂₉₂	—	4	8	no	—
117	C₂²×D₂₉₂	C₂³	1	4	yes	—
118	C₂²×D₂₉₂	C₂³	1	4	yes	—
119	C₂²×D₂₉₂	C₂³	1	8	yes	complemented
120	C₂²×D₂₉₂	C₂³	1	2	yes	complemented
121	C₂²×D₂₉₂	C₂³	1	4	yes	complemented
122	C₂²×D₂₉₂	C₂³	1	16	yes	complemented
123	C₂²×C₂²⋊D₇₃	—	2	16	no	—
124	C₂²×C₂²⋊D₇₃	—	2	8	no	—
125	C₂²×C₂²⋊D₇₃	—	2	8	no	—
126	C₂²×C₂²⋊D₇₃	—	4	8	no	—
127	C₂²×C₂²⋊D₇₃	D₄	1	16	yes	complemented
128	C₂²×C₂²⋊D₇₃	C₂³	1	4	yes	—
129	C₂²×C₂²⋊D₇₃	C₂³	1	2	yes	—
130	C₂²×C₂²⋊D₇₃	C₂³	1	4	yes	—
131	C₂²×C₂²⋊D₇₃	C₂³	1	2	yes	—
132	C₂²×C₂²⋊D₇₃	C₂³	1	2	yes	—
133	C₂²×C₂²⋊D₇₃	C₂³	1	8	yes	—
134	C₂²×C₂²⋊D₇₃	C₂³	1	8	yes	complemented
135	C₂²×C₂²⋊D₇₃	C₂³	1	2	yes	complemented
136	C₂²×C₂²⋊D₇₃	C₂³	1	2	yes	complemented
137	C₂²×C₂²⋊D₇₃	C₂³	1	2	yes	complemented
138	C₂²×C₂²⋊D₇₃	C₂³	1	4	yes	complemented
139	C₂²×C₂²⋊D₇₃	C₂³	1	4	yes	complemented
140	C₂²×C₂²⋊D₇₃	C₂³	1	8	yes	complemented
141	C₂²×C₂²⋊D₇₃	C₂³	1	16	yes	complemented
142	C₂²×C₂²⋊D₇₃	C₂³	1	16	yes	complemented
143	C₂×D₄×D₇₃	—	2	16	no	—
144	C₂×D₄×D₇₃	—	2	32	no	—
145	C₂×D₄×D₇₃	—	2	32	no	—
146	C₂×D₄×D₇₃	—	2	128	no	—
147	C₂×D₄×D₇₃	—	2	16	no	—
148	C₂×D₄×D₇₃	—	4	16	no	—
149	C₂×D₄×D₇₃	C₂³	1	32	yes	complemented
150	C₂×D₄×D₇₃	C₂³	1	32	yes	complemented
151	C₂×D₄×D₇₃	C₂³	1	16	yes	complemented
152	C₂×D₄×D₇₃	C₂³	1	16	yes	complemented
153	C₂×D₄×D₇₃	C₂³	1	32	yes	complemented
154	C₂³×Dic₇₃	C₂³	1	1	yes	characteristic
155	C₂³×Dic₇₃	C₂³	1	1	yes	characteristic, complemented
156	C₂³×Dic₇₃	C₂³	1	2	yes	complemented
157	C₂³×Dic₇₃	C₂³	1	2	yes	complemented
158	C₂²×C₄×D₇₃	—	2	8	no	—
159	C₂²×C₄×D₇₃	C₂³	1	4	yes	—
160	C₂²×C₄×D₇₃	C₂³	1	8	yes	complemented
161	C₂²×C₄×D₇₃	C₂³	1	2	yes	complemented
162	C₂²×C₄×D₇₃	C₂³	1	2	yes	complemented
163	C₂²×C₄×D₇₃	C₂³	1	4	yes	complemented
164	#14556587	C₂³	1	32	yes	complemented
165	#14556577	C₂³	1	32	yes	complemented
166	#14556576	C₂³	1	32	yes	complemented
167	#14556574	C₂³	1	16	yes	complemented
168	#14556572	C₂³	1	16	yes	complemented
169	#14556569	C₂³	1	32	yes	complemented
170	#14556566	C₂³	1	32	yes	complemented
171	#14556564	C₂³	1	32	yes	complemented
172	#14556564	C₂³	1	32	yes	complemented
173	#14556564	C₂³	1	32	yes	complemented
174	#14556563	C₂³	1	32	yes	complemented
175	#14556563	C₂³	1	32	yes	complemented
176	#14556561	C₂³	1	16	yes	complemented
177	#14556561	C₂³	1	16	yes	complemented
178	#14556561	C₂³	1	32	yes	complemented
179	#14556561	C₂³	1	32	yes	complemented
180	#14556561	C₂³	1	32	yes	complemented
181	#14556560	C₂³	1	16	yes	complemented
182	#14556559	C₂³	1	16	yes	complemented
183	#14556559	C₂³	1	16	yes	complemented
184	#14556559	C₂³	1	16	yes	complemented
185	#14556559	C₂³	1	32	yes	complemented
186	#14556559	C₂³	1	32	yes	complemented
187	#14556553	C₂³	1	32	yes	complemented
188	C₄×C₂²⋊D₇₃	C₂³	1	32	yes	complemented
189	#14556551	C₂³	1	32	yes	complemented
190	#14556551	C₂³	1	32	yes	complemented
191	#14556547	C₂³	1	16	yes	complemented
192	C₂×#11924007	C₂³	1	4	yes	complemented
193	C₂×#11924007	C₂³	1	4	yes	complemented
194	C₂×C₂²⋊Dic₇₃	C₂³	1	2	yes	—
195	C₂×C₂²⋊Dic₇₃	C₂³	1	8	yes	complemented
196	C₂×C₂²⋊Dic₇₃	C₂³	1	4	yes	complemented
197	C₂×C₂²⋊Dic₇₃	C₂³	1	2	yes	complemented
198	C₂×#11924005	C₂³	1	4	yes	—
199	C₂×#11924005	C₂³	1	4	yes	—
200	C₂×#11924005	C₂³	1	4	yes	complemented
201	C₂×#11924005	C₂³	1	4	yes	complemented
202	C₂×#11924005	C₂³	1	4	yes	complemented
203	C₂×#11924005	C₂³	1	4	yes	complemented
204	C₂×#11924005	C₂³	1	16	yes	complemented
205	C₂×#11924005	C₂³	1	16	yes	complemented
206	C₂²⋊C₄×D₇₃	C₂³	1	16	yes	complemented
207	C₂²⋊C₄×D₇₃	C₂³	1	32	yes	complemented
208	C₂×C₄×Dic₇₃	C₂³	1	4	yes	complemented
209	C₂⁵×C₇₃	C₂³	1	1	yes	characteristic
210	C₂⁵×C₇₃	C₂³	1	1	yes	characteristic
211	C₂⁵×C₇₃	C₂³	1	1	yes	characteristic, complemented
212	C₂²×D₄×C₇₃	—	2	8	no	—
213	C₂²×D₄×C₇₃	—	2	8	no	—
214	C₂²×D₄×C₇₃	C₂³	1	2	yes	—
215	C₂²×D₄×C₇₃	C₂³	1	2	yes	—
216	C₂²×D₄×C₇₃	C₂³	1	2	yes	—
217	C₂²×D₄×C₇₃	C₂³	1	8	yes	complemented
218	C₂²×D₄×C₇₃	C₂³	1	2	yes	complemented
219	C₂²×D₄×C₇₃	C₂³	1	4	yes	complemented
220	C₂²×D₄×C₇₃	C₂³	1	8	yes	complemented
221	C₂³×C₄×C₇₃	C₂³	1	1	yes	characteristic
222	C₂³×C₄×C₇₃	C₂³	1	1	yes	characteristic, complemented
223	C₂³×C₄×C₇₃	C₂³	1	2	yes	complemented
224	#123×C₇₃	C₂³	1	16	yes	complemented
225	#123×C₇₃	C₂³	1	16	yes	complemented
226	#121×C₇₃	C₂³	1	32	yes	complemented
227	#120×C₇₃	C₂³	1	16	yes	complemented
228	#120×C₇₃	C₂³	1	16	yes	complemented
229	C₂×C₄⋊C₄×C₇₃	C₂³	1	4	yes	complemented
230	C₂×C₂²⋊C₄×C₇₃	C₂³	1	2	yes	—
231	C₂×C₂²⋊C₄×C₇₃	C₂³	1	8	yes	complemented
232	C₂×C₂²⋊C₄×C₇₃	C₂³	1	2	yes	complemented
233	C₂×C₂²⋊C₄×C₇₃	C₂³	1	4	yes	complemented
234	C₂×C₂²⋊C₄×C₇₃	C₂³	1	4	yes	complemented
235	C₂³×D₇₃	—	2	4	no	—
236	C₂³×D₇₃	—	2	8	no	—
237	C₂³×D₇₃	—	2	8	no	—
238	C₂³×D₇₃	—	2	8	no	—
239	C₂³×D₇₃	—	2	4	no	—
240	C₂³×D₇₃	—	2	32	no	—
241	C₂³×D₇₃	—	2	4	no	—
242	C₂³×D₇₃	—	2	16	no	—
243	C₂³×D₇₃	—	2	32	no	—
244	C₂³×D₇₃	—	2	16	no	—
245	C₂³×D₇₃	—	2	8	no	—
246	C₂³×D₇₃	—	2	8	no	—
247	C₂³×D₇₃	—	2	8	no	—
248	C₂³×D₇₃	—	4	32	no	—
249	C₂³×D₇₃	—	4	32	no	—
250	C₂³×D₇₃	—	4	4	no	—
251	C₂³×D₇₃	—	4	8	no	—
252	C₂³×D₇₃	—	4	4	no	—
253	C₂³×D₇₃	—	4	4	no	—
254	C₂³×D₇₃	—	4	4	no	—
255	C₂³×D₇₃	—	4	8	no	—
256	C₂³×D₇₃	—	4	4	no	—
257	C₂³×D₇₃	—	4	64	no	—
258	C₂³×D₇₃	—	4	64	no	—
259	C₂³×D₇₃	C₂×D₄	1	8	yes	complemented
260	C₂³×D₇₃	C₂⁴	1	2	yes	—
261	C₂³×D₇₃	C₂⁴	1	2	yes	—
262	C₂³×D₇₃	C₂⁴	1	4	yes	—
263	C₂³×D₇₃	C₂⁴	1	16	yes	—
264	C₂³×D₇₃	C₂⁴	1	8	yes	—
265	C₂³×D₇₃	C₂⁴	1	8	yes	—
266	C₂³×D₇₃	C₂⁴	1	2	yes	—
267	C₂³×D₇₃	C₂⁴	1	2	yes	—
268	C₂³×D₇₃	C₂⁴	1	4	yes	—
269	C₂³×D₇₃	C₂⁴	1	4	yes	—
270	C₂³×D₇₃	C₂⁴	1	4	yes	complemented
271	C₂³×D₇₃	C₂⁴	1	8	yes	complemented
272	#11924028	—	2	64	no	—
273	#11924027	—	2	64	no	—
274	#11924027	—	2	64	no	—
275	C₂×Dic₁₄₆	—	2	8	no	—
276	C₂×Dic₁₄₆	C₂⁴	1	8	yes	complemented
277	C₂×D₂₉₂	—	2	16	no	—
278	C₂×D₂₉₂	—	2	8	no	—
279	C₂×D₂₉₂	—	2	32	no	—
280	C₂×D₂₉₂	—	2	16	no	—
281	C₂×D₂₉₂	—	4	32	no	—
282	C₂×D₂₉₂	—	4	8	no	—
283	C₂×D₂₉₂	C₂⁴	1	16	yes	—
284	C₂×D₂₉₂	C₂⁴	1	16	yes	—
285	C₂×D₂₉₂	C₂⁴	1	8	yes	complemented
286	C₂×D₂₉₂	C₂⁴	1	16	yes	complemented
287	C₂×C₂²⋊D₇₃	—	2	8	no	—
288	C₂×C₂²⋊D₇₃	—	2	8	no	—
289	C₂×C₂²⋊D₇₃	—	2	32	no	—
290	C₂×C₂²⋊D₇₃	—	2	8	no	—
291	C₂×C₂²⋊D₇₃	—	2	16	no	—
292	C₂×C₂²⋊D₇₃	—	2	64	no	—
293	C₂×C₂²⋊D₇₃	—	2	16	no	—
294	C₂×C₂²⋊D₇₃	—	2	8	no	—
295	C₂×C₂²⋊D₇₃	—	2	32	no	—
296	C₂×C₂²⋊D₇₃	—	4	8	no	—
297	C₂×C₂²⋊D₇₃	—	4	8	no	—
298	C₂×C₂²⋊D₇₃	—	4	32	no	—
299	C₂×C₂²⋊D₇₃	C₂×D₄	1	16	yes	complemented
300	C₂×C₂²⋊D₇₃	C₂×D₄	1	16	yes	complemented
301	C₂×C₂²⋊D₇₃	C₂×D₄	1	64	yes	complemented
302	C₂×C₂²⋊D₇₃	C₂⁴	1	16	yes	—
303	C₂×C₂²⋊D₇₃	C₂⁴	1	8	yes	—
304	C₂×C₂²⋊D₇₃	C₂⁴	1	16	yes	—
305	C₂×C₂²⋊D₇₃	C₂⁴	1	8	yes	—
306	C₂×C₂²⋊D₇₃	C₂⁴	1	8	yes	—
307	C₂×C₂²⋊D₇₃	C₂⁴	1	8	yes	complemented
308	C₂×C₂²⋊D₇₃	C₂⁴	1	8	yes	complemented
309	C₂×C₂²⋊D₇₃	C₂⁴	1	8	yes	complemented
310	C₂×C₂²⋊D₇₃	C₂⁴	1	16	yes	complemented
311	C₂×C₂²⋊D₇₃	C₂⁴	1	16	yes	complemented
312	D₄×D₇₃	—	2	64	no	—
313	D₄×D₇₃	—	2	128	no	—
314	D₄×D₇₃	—	2	128	no	—
315	D₄×D₇₃	—	2	64	no	—
316	D₄×D₇₃	—	4	64	no	—
317	C₂²×Dic₇₃	—	2	4	no	—
318	C₂²×Dic₇₃	—	2	8	no	—
319	C₂²×Dic₇₃	—	4	4	no	—
320	C₂²×Dic₇₃	C₂×D₄	1	8	yes	complemented
321	C₂²×Dic₇₃	C₂⁴	1	4	yes	—
322	C₂²×Dic₇₃	C₂⁴	1	2	yes	—
323	C₂²×Dic₇₃	C₂⁴	1	2	yes	—
324	C₂²×Dic₇₃	C₂⁴	1	4	yes	—
325	C₂²×Dic₇₃	C₂⁴	1	4	yes	complemented
326	C₂²×Dic₇₃	C₂⁴	1	8	yes	complemented
327	C₂²×Dic₇₃	C₂⁴	1	8	yes	complemented
328	C₂×C₄×D₇₃	—	2	8	no	—
329	C₂×C₄×D₇₃	—	2	16	no	—
330	C₂×C₄×D₇₃	—	2	8	no	—
331	C₂×C₄×D₇₃	—	2	32	no	—
332	C₂×C₄×D₇₃	—	4	8	no	—
333	C₂×C₄×D₇₃	C₂⁴	1	16	yes	—
334	C₂×C₄×D₇₃	C₂⁴	1	8	yes	complemented
335	C₂×C₄×D₇₃	C₂⁴	1	8	yes	complemented
336	C₂×C₄×D₇₃	C₂⁴	1	16	yes	complemented
337	#11924007	C₂⁴	1	16	yes	complemented
338	#11924007	C₂⁴	1	16	yes	complemented
339	C₂²⋊Dic₇₃	C₂⁴	1	8	yes	—
340	C₂²⋊Dic₇₃	C₂⁴	1	16	yes	complemented
341	C₂²⋊Dic₇₃	C₂⁴	1	8	yes	complemented
342	#11924005	C₂⁴	1	16	yes	—
343	#11924005	C₂⁴	1	16	yes	—
344	#11924005	C₂⁴	1	16	yes	complemented
345	#11924005	C₂⁴	1	16	yes	complemented
346	#11924005	C₂⁴	1	16	yes	complemented
347	#11924005	C₂⁴	1	16	yes	complemented
348	C₄×Dic₇₃	C₂⁴	1	16	yes	complemented
349	C₂⁴×C₇₃	—	2	4	no	—
350	C₂⁴×C₇₃	—	2	4	no	—
351	C₂⁴×C₇₃	—	4	4	no	—
352	C₂⁴×C₇₃	—	4	4	no	—
353	C₂⁴×C₇₃	—	4	4	no	—
354	C₂⁴×C₇₃	C₂×D₄	1	8	yes	complemented
355	C₂⁴×C₇₃	C₂⁴	1	2	yes	—
356	C₂⁴×C₇₃	C₂⁴	1	2	yes	—
357	C₂⁴×C₇₃	C₂⁴	1	1	yes	characteristic
358	C₂⁴×C₇₃	C₂⁴	1	1	yes	characteristic
359	C₂⁴×C₇₃	C₂⁴	1	1	yes	characteristic
360	C₂⁴×C₇₃	C₂⁴	1	4	yes	—
361	C₂⁴×C₇₃	C₂⁴	1	4	yes	—
362	C₂⁴×C₇₃	C₂⁴	1	4	yes	complemented
363	C₂×D₄×C₇₃	—	2	8	no	—
364	C₂×D₄×C₇₃	—	2	8	no	—
365	C₂×D₄×C₇₃	—	2	8	no	—
366	C₂×D₄×C₇₃	—	2	8	no	—
367	C₂×D₄×C₇₃	—	2	32	no	—
368	C₂×D₄×C₇₃	—	2	32	no	—
369	C₂×D₄×C₇₃	—	4	8	no	—
370	C₂×D₄×C₇₃	C₂⁴	1	8	yes	—
371	C₂×D₄×C₇₃	C₂⁴	1	8	yes	—
372	C₂×D₄×C₇₃	C₂⁴	1	8	yes	—
373	C₂×D₄×C₇₃	C₂⁴	1	8	yes	complemented
374	C₂×D₄×C₇₃	C₂⁴	1	16	yes	complemented
375	C₂²×C₄×C₇₃	—	2	4	no	—
376	C₂²×C₄×C₇₃	—	2	4	no	—
377	C₂²×C₄×C₇₃	—	4	4	no	—
378	C₂²×C₄×C₇₃	C₂⁴	1	4	yes	—
379	C₂²×C₄×C₇₃	C₂⁴	1	2	yes	—
380	C₂²×C₄×C₇₃	C₂⁴	1	2	yes	—
381	C₂²×C₄×C₇₃	C₂⁴	1	4	yes	—
382	C₂²×C₄×C₇₃	C₂⁴	1	4	yes	complemented
383	C₂²×C₄×C₇₃	C₂⁴	1	8	yes	complemented
384	C₄⋊C₄×C₇₃	C₂⁴	1	16	yes	complemented
385	C₂²⋊C₄×C₇₃	C₂⁴	1	8	yes	—
386	C₂²⋊C₄×C₇₃	C₂⁴	1	8	yes	complemented
387	C₂²⋊C₄×C₇₃	C₂⁴	1	16	yes	complemented
388	C₂²⋊C₄×C₇₃	C₂⁴	1	16	yes	complemented
389	C₂³×C₇₃	—	2	4	no	—
390	C₂³×C₇₃	—	2	4	no	—
391	C₂³×C₇₃	—	2	4	no	—
392	C₂³×C₇₃	—	2	4	no	—
393	C₂³×C₇₃	—	2	8	no	—
394	C₂³×C₇₃	—	2	4	no	—
395	C₂³×C₇₃	—	2	8	no	—
396	C₂³×C₇₃	—	2	8	no	—
397	C₂³×C₇₃	—	2	8	no	—
398	C₂³×C₇₃	—	4	16	no	—
399	C₂³×C₇₃	—	4	8	no	—
400	C₂³×C₇₃	—	4	8	no	—
401	C₂³×C₇₃	—	4	8	no	—
402	C₂³×C₇₃	—	4	16	no	—
403	C₂³×C₇₃	—	8	8	no	—
404	C₂³×C₇₃	C₂²×D₄	1	4	yes	—
405	C₂³×C₇₃	C₂²×D₄	1	4	yes	—
406	C₂³×C₇₃	C₂²×D₄	1	4	yes	—
407	C₂³×C₇₃	C₂²×D₄	1	16	yes	complemented
408	C₂³×C₇₃	C₂⁵	1	4	yes	—
409	C₂³×C₇₃	C₂⁵	1	4	yes	—
410	C₂³×C₇₃	C₂⁵	1	2	yes	—
411	C₂³×C₇₃	C₂⁵	1	2	yes	—
412	C₂³×C₇₃	C₂⁵	1	2	yes	—
413	C₂³×C₇₃	C₂⁵	1	1	yes	characteristic
414	C₂²×D₇₃	—	2	32	no	—
415	C₂²×D₇₃	—	2	8	no	—
416	C₂²×D₇₃	—	2	4	no	—
417	C₂²×D₇₃	—	2	8	no	—
418	C₂²×D₇₃	—	2	4	no	—
419	C₂²×D₇₃	—	2	16	no	—
420	C₂²×D₇₃	—	2	4	no	—
421	C₂²×D₇₃	—	2	16	no	—
422	C₂²×D₇₃	—	2	16	no	—
423	C₂²×D₇₃	—	2	8	no	—
424	C₂²×D₇₃	—	2	4	no	—
425	C₂²×D₇₃	—	2	4	no	—
426	C₂²×D₇₃	—	2	8	no	—
427	C₂²×D₇₃	—	2	4	no	—
428	C₂²×D₇₃	—	2	8	no	—
429	C₂²×D₇₃	—	2	32	no	—
430	C₂²×D₇₃	—	2	32	no	—
431	C₂²×D₇₃	—	2	16	no	—
432	C₂²×D₇₃	—	2	16	no	—
433	C₂²×D₇₃	—	2	16	no	—
434	C₂²×D₇₃	—	4	16	no	—
435	C₂²×D₇₃	—	4	8	no	—
436	C₂²×D₇₃	—	4	16	no	—
437	C₂²×D₇₃	—	4	8	no	—
438	C₂²×D₇₃	—	4	8	no	—
439	C₂²×D₇₃	—	4	8	no	—
440	C₂²×D₇₃	—	4	64	no	—
441	C₂²×D₇₃	—	4	16	no	—
442	C₂²×D₇₃	—	4	8	no	—
443	C₂²×D₇₃	—	4	32	no	—
444	C₂²×D₇₃	—	4	32	no	—
445	C₂²×D₇₃	—	4	128	no	—
446	C₂²×D₇₃	—	4	128	no	—
447	C₂²×D₇₃	—	4	16	no	—
448	C₂²×D₇₃	—	8	16	no	—
449	C₂²×D₇₃	—	8	8	no	—
450	C₂²×D₇₃	C₂²×D₄	1	8	yes	—
451	C₂²×D₇₃	C₂²×D₄	1	16	yes	complemented
452	C₂²×D₇₃	H(5,𝔽₂)	1	8	yes	complemented
453	C₂²×D₇₃	C₂⁵	1	4	yes	—
454	C₂²×D₇₃	C₂⁵	1	4	yes	—
455	C₂²×D₇₃	C₂⁵	1	4	yes	—
456	C₂²×D₇₃	C₂⁵	1	4	yes	—
457	D₄×C₇₃	—	2	16	no	—
458	D₄×C₇₃	—	2	16	no	—
459	D₄×C₇₃	—	2	16	no	—
460	D₄×C₇₃	—	2	16	no	—
461	D₄×C₇₃	—	4	16	no	—
462	C₂×C₄×C₇₃	—	2	8	no	—
463	C₂×C₄×C₇₃	—	2	4	no	—
464	C₂×C₄×C₇₃	—	2	4	no	—
465	C₂×C₄×C₇₃	—	2	8	no	—
466	C₂×C₄×C₇₃	—	2	8	no	—
467	C₂×C₄×C₇₃	—	4	8	no	—
468	C₂×C₄×C₇₃	C₂⁵	1	8	yes	—
469	C₂×C₄×C₇₃	C₂⁵	1	4	yes	—
470	C₂×C₄×C₇₃	C₂⁵	1	4	yes	—
471	C₂²⋊D₇₃	—	2	16	no	—
472	C₂²⋊D₇₃	—	2	16	no	—
473	C₂²⋊D₇₃	—	2	16	no	—
474	C₂²⋊D₇₃	—	2	32	no	—
475	C₂²⋊D₇₃	—	2	32	no	—
476	C₂²⋊D₇₃	—	2	16	no	—
477	C₂²⋊D₇₃	—	4	16	no	—
478	C₂²⋊D₇₃	—	4	16	no	—
479	C₂²⋊D₇₃	C₂²×D₄	1	32	yes	complemented
480	C₂²⋊D₇₃	C₂²×D₄	1	32	yes	complemented
481	C₂×Dic₇₃	—	2	4	no	—
482	C₂×Dic₇₃	—	2	8	no	—
483	C₂×Dic₇₃	—	2	8	no	—
484	C₂×Dic₇₃	—	2	16	no	—
485	C₂×Dic₇₃	—	4	8	no	—
486	C₂×Dic₇₃	C₂²×D₄	1	8	yes	—
487	C₂×Dic₇₃	C₂²×D₄	1	16	yes	complemented
488	C₂×Dic₇₃	C₂⁵	1	8	yes	—
489	C₂×Dic₇₃	C₂⁵	1	4	yes	—
490	C₂×Dic₇₃	C₂⁵	1	4	yes	—
491	D₂₉₂	—	2	32	no	—
492	D₂₉₂	—	2	16	no	—
493	D₂₉₂	—	2	32	no	—
494	D₂₉₂	—	4	16	no	—
495	C₄×D₇₃	—	2	16	no	—
496	C₄×D₇₃	—	2	32	no	—
497	C₄×D₇₃	—	2	16	no	—
498	C₄×D₇₃	—	4	16	no	—
499	Dic₁₄₆	—	2	16	no	—
500	C₂²×C₇₃	—	2	4	no	—
501	C₂²×C₇₃	—	2	4	no	—
502	C₂²×C₇₃	—	2	4	no	—
503	C₂²×C₇₃	—	2	8	no	—
504	C₂²×C₇₃	—	2	8	no	—
505	C₂²×C₇₃	—	2	8	no	—
506	C₂²×C₇₃	—	2	4	no	—
507	C₂²×C₇₃	—	2	4	no	—
508	C₂²×C₇₃	—	2	8	no	—
509	C₂²×C₇₃	—	2	8	no	—
510	C₂²×C₇₃	—	4	16	no	—
511	C₂²×C₇₃	—	4	16	no	—
512	C₂²×C₇₃	—	4	8	no	—
513	C₂²×C₇₃	—	4	8	no	—
514	C₂²×C₇₃	—	8	8	no	—
515	C₂²×C₇₃	C₂³×D₄	1	4	yes	—
516	C₂²×C₇₃	C₂³×D₄	1	4	yes	—
517	C₂²×C₇₃	C₂³×D₄	1	4	yes	—
518	C₂²×C₇₃	C₂³×D₄	1	2	yes	—
519	C₂²×C₇₃	C₂×H(5,𝔽₂)	1	4	yes	—
520	C₂²×C₇₃	C₂⁶	1	1	yes	characteristic
521	C₂×D₇₃	—	2	32	no	—
522	C₂×D₇₃	—	2	4	no	—
523	C₂×D₇₃	—	2	8	no	—
524	C₂×D₇₃	—	2	4	no	—
525	C₂×D₇₃	—	2	16	no	—
526	C₂×D₇₃	—	2	16	no	—
527	C₂×D₇₃	—	2	4	no	—
528	C₂×D₇₃	—	2	4	no	—
529	C₂×D₇₃	—	2	8	no	—
530	C₂×D₇₃	—	2	4	no	—
531	C₂×D₇₃	—	2	4	no	—
532	C₂×D₇₃	—	4	16	no	—
533	C₂×D₇₃	—	4	64	no	—
534	C₂×D₇₃	—	4	32	no	—
535	C₂×D₇₃	—	4	32	no	—
536	C₂×D₇₃	—	4	16	no	—
537	C₂×D₇₃	—	4	8	no	—
538	C₂×D₇₃	—	4	8	no	—
539	C₂×D₇₃	—	8	16	no	—
540	C₂×D₇₃	—	8	8	no	—
541	C₂×D₇₃	C₂³×D₄	1	8	yes	—
542	C₂×D₇₃	C₂×H(5,𝔽₂)	1	8	yes	complemented
543	C₄×C₇₃	—	2	4	no	—
544	C₄×C₇₃	—	2	4	no	—
545	C₄×C₇₃	—	2	8	no	—
546	Dic₇₃	—	2	4	no	—
547	Dic₇₃	—	2	8	no	—
548	Dic₇₃	C₂³×D₄	1	8	yes	—
549	C₂×#3484	—	73	1	no	maximal, Sylow
550	C₂×C₇₃	—	2	4	no	—
551	C₂×C₇₃	—	2	4	no	—
552	C₂×C₇₃	—	2	4	no	—
553	C₂×C₇₃	—	4	4	no	—
554	C₂×C₇₃	—	4	4	no	—
555	C₂×C₇₃	#3484	1	4	yes	complemented
556	C₂×C₇₃	C₂⁴×D₄	1	1	yes	characteristic
557	C₂×C₇₃	C₂²×H(5,𝔽₂)	1	2	yes	—
558	D₇₃	—	2	8	no	—
559	D₇₃	—	2	8	no	—
560	D₇₃	—	4	4	no	—
561	D₇₃	—	4	4	no	—
562	C₂²×H(5,𝔽₂)	—	73	1	no	—
563	C₂⁴×D₄	—	73	1	no	—
564	#3484	—	73	32	no	—
565	C₂×#546	—	73	4	no	—
566	C₂×#546	—	73	4	no	—
567	C₂×D₄²	—	73	4	no	—
568	C₂×D₄²	—	73	4	no	—
569	C₂×#535	—	73	2	no	—
570	C₂×#534	—	73	1	no	—
571	C₂×#534	—	73	2	no	—
572	C₂×#534	D₇₃	1	1	yes	characteristic, complemented
573	C₂×#525	—	73	2	no	—
574	C₂²×#120	—	73	1	no	—
575	C₂²×#120	—	73	2	no	—
576	C₂²×#120	—	73	1	no	—
577	C₂×#518	—	73	1	no	—
578	C₇₃	C₂×#3484	1	1	yes	characteristic, complemented, Sylow
579	C₂⁶	—	73	1	no	—
580	C₂⁶	—	73	1	no	—
581	C₂×H(5,𝔽₂)	—	73	16	no	—
582	C₂×H(5,𝔽₂)	—	146	16	no	—
583	C₂²×#41	—	73	2	no	—
584	C₂²×#41	—	73	2	no	—
585	C₂²×#41	—	73	2	no	—
586	C₂³×D₄	—	73	2	no	—
587	C₂³×D₄	—	73	4	no	—
588	C₂³×D₄	—	73	1	no	—
589	C₂³×D₄	—	73	1	no	—
590	C₂³×D₄	—	73	1	no	—
591	C₂³×D₄	—	73	2	no	—
592	C₂³×D₄	—	73	4	no	—
593	C₂³×D₄	—	73	4	no	—
594	C₂³×D₄	—	73	2	no	—
595	C₂³×D₄	—	73	16	no	—
596	C₂³×D₄	—	73	2	no	—
597	C₂³×D₄	—	73	1	no	—
598	C₂³×D₄	—	73	2	no	—
599	C₂³×D₄	—	146	16	no	—
600	C₂³×D₄	C₂×D₇₃	1	1	yes	characteristic, complemented
601	C₂³×D₄	C₂×D₇₃	1	1	yes	characteristic, complemented
602	C₂⁴×C₄	—	73	1	no	—
603	#546	—	73	64	no	—
604	#546	—	73	64	no	—
605	D₄²	—	73	64	no	—
606	D₄²	—	73	64	no	—
607	#535	—	73	32	no	—
608	#534	—	73	16	no	—
609	#534	—	73	32	no	—
610	#534	C₂×D₇₃	1	16	yes	complemented
611	C₂×#127	—	73	4	no	—
612	C₂×#124	—	73	4	no	—
613	#525	—	73	32	no	—
614	C₂×#123	—	73	2	no	—
615	C₂×#123	—	73	2	no	—
616	C₂×#123	—	73	4	no	—
617	C₂×#123	C₂×D₇₃	1	2	yes	complemented
618	C₂×#123	C₂×D₇₃	1	2	yes	complemented
619	C₂×C₂²⋊Q₈	—	73	4	no	—
620	C₂×#121	—	73	4	no	—
621	C₂×#121	—	73	4	no	—
622	C₂×#121	—	73	4	no	—
623	C₂×#121	—	73	4	no	—
624	C₂×#121	—	73	4	no	—
625	C₂×#121	—	73	4	no	—
626	C₂×#121	C₂×D₇₃	1	4	yes	complemented
627	C₂×#120	—	73	2	no	—
628	C₂×#120	—	73	2	no	—
629	C₂×#120	—	73	2	no	—
630	C₂×#120	—	73	2	no	—
631	C₂×#120	—	73	4	no	—
632	C₂×#120	—	73	4	no	—
633	C₂×#120	—	73	16	no	—
634	C₂×#120	—	73	32	no	—
635	C₂×#120	—	73	2	no	—
636	C₂×#120	—	73	2	no	—
637	C₂×#120	—	73	4	no	—
638	C₂×#120	—	73	4	no	—
639	C₂×#120	—	73	16	no	—
640	C₂×#120	—	73	4	no	—
641	C₂×#120	C₂×D₇₃	1	2	yes	complemented
642	C₂×#120	C₂×D₇₃	1	2	yes	complemented
643	#518	—	73	16	no	—
644	C₂×C₄×D₄	—	73	4	no	—
645	C₂×C₄×D₄	—	73	4	no	—
646	C₂×C₄×D₄	—	73	4	no	—
647	C₂×C₄×D₄	—	73	4	no	—
648	C₂×#117	—	73	2	no	—
649	C₂²×C₂²⋊C₄	—	73	1	no	—
650	C₂²×C₂²⋊C₄	—	73	2	no	—
651	C₂²×C₂²⋊C₄	—	73	2	no	—
652	C₂²×C₂²⋊C₄	—	73	2	no	—
653	C₂²×C₂²⋊C₄	—	73	4	no	—
654	C₂²×C₂²⋊C₄	C₂×D₇₃	1	1	yes	characteristic, complemented
655	C₂⁵	—	292	8	no	—
656	C₂⁵	—	292	8	no	—
657	C₂⁵	—	73	1	no	—
658	C₂⁵	—	73	1	no	—
659	C₂⁵	—	73	8	no	—
660	C₂⁵	—	73	8	no	—
661	C₂⁵	—	73	2	no	—
662	C₂⁵	—	73	1	no	—
663	C₂⁵	—	73	4	no	—
664	C₂⁵	—	73	2	no	—
665	C₂⁵	—	73	2	no	—
666	C₂⁵	—	73	1	no	—
667	C₂⁵	—	146	8	no	—
668	C₂⁵	—	146	8	no	—
669	C₂⁵	C₂²×D₇₃	1	1	yes	characteristic
670	C₂⁵	C₂²×D₇₃	1	1	yes	characteristic
671	C₂⁵	C₂²×D₇₃	1	1	yes	characteristic, complemented
672	H(5,𝔽₂)	—	146	128	no	—
673	C₂×#41	—	73	16	no	—
674	C₂×#41	—	73	16	no	—
675	C₂×#41	—	73	16	no	—
676	C₂×#41	—	146	16	no	—
677	C₂×#41	—	146	16	no	—
678	C₂×#41	—	146	16	no	—
679	C₂²×Q₈	—	73	2	no	—
680	C₂²×D₄	—	2	8	no	—
681	C₂²×D₄	—	2	8	no	—
682	C₂²×D₄	—	292	8	no	—
683	C₂²×D₄	—	292	16	no	—
684	C₂²×D₄	—	292	8	no	—
685	C₂²×D₄	—	73	4	no	—
686	C₂²×D₄	—	73	4	no	—
687	C₂²×D₄	—	73	16	no	—
688	C₂²×D₄	—	73	32	no	—
689	C₂²×D₄	—	73	16	no	—
690	C₂²×D₄	—	73	2	no	—
691	C₂²×D₄	—	73	2	no	—
692	C₂²×D₄	—	73	8	no	—
693	C₂²×D₄	—	73	4	no	—
694	C₂²×D₄	—	73	2	no	—
695	C₂²×D₄	—	73	2	no	—
696	C₂²×D₄	—	73	2	no	—
697	C₂²×D₄	—	73	8	no	—
698	C₂²×D₄	—	73	4	no	—
699	C₂²×D₄	—	73	2	no	—
700	C₂²×D₄	—	73	8	no	—
701	C₂²×D₄	—	73	16	no	—
702	C₂²×D₄	—	73	16	no	—
703	C₂²×D₄	—	73	32	no	—
704	C₂²×D₄	—	73	32	no	—
705	C₂²×D₄	—	73	16	no	—
706	C₂²×D₄	—	73	4	no	—
707	C₂²×D₄	—	73	4	no	—
708	C₂²×D₄	—	73	2	no	—
709	C₂²×D₄	—	73	4	no	—
710	C₂²×D₄	—	73	8	no	—
711	C₂²×D₄	—	73	16	no	—
712	C₂²×D₄	—	146	8	no	—
713	C₂²×D₄	—	146	8	no	—
714	C₂²×D₄	—	146	32	no	—
715	C₂²×D₄	—	146	32	no	—
716	C₂²×D₄	—	146	128	no	—
717	C₂²×D₄	—	146	16	no	—
718	C₂²×D₄	—	146	16	no	—
719	C₂²×D₄	—	146	16	no	—
720	C₂²×D₄	—	146	8	no	—
721	C₂²×D₄	C₂²×D₇₃	1	2	yes	—
722	C₂²×D₄	C₂²×D₇₃	1	2	yes	—
723	C₂²×D₄	C₂²×D₇₃	1	2	yes	—
724	C₂²×D₄	C₂²×D₇₃	1	8	yes	complemented
725	C₂²×D₄	C₂²×D₇₃	1	2	yes	complemented
726	C₂²×D₄	C₂²×D₇₃	1	4	yes	complemented
727	C₂²×D₄	C₂²×D₇₃	1	8	yes	complemented
728	C₂³×C₄	—	73	2	no	—
729	C₂³×C₄	—	73	4	no	—
730	C₂³×C₄	—	73	1	no	—
731	C₂³×C₄	—	73	1	no	—
732	C₂³×C₄	—	73	2	no	—
733	C₂³×C₄	—	73	2	no	—
734	C₂³×C₄	—	73	2	no	—
735	C₂³×C₄	—	73	4	no	—
736	C₂³×C₄	—	73	8	no	—
737	C₂³×C₄	—	146	8	no	—
738	C₂³×C₄	C₂²×D₇₃	1	1	yes	characteristic
739	C₂³×C₄	C₂²×D₇₃	1	1	yes	characteristic, complemented
740	C₂³×C₄	C₂²×D₇₃	1	2	yes	complemented
741	#127	—	73	32	no	—
742	#124	—	73	32	no	—
743	#123	—	73	16	no	—
744	#123	—	73	16	no	—
745	#123	—	73	32	no	—
746	#123	C₂²×D₇₃	1	16	yes	complemented
747	#123	C₂²×D₇₃	1	16	yes	complemented
748	C₂²⋊Q₈	—	73	32	no	—
749	#121	—	73	32	no	—
750	#121	—	73	32	no	—
751	#121	—	73	32	no	—
752	#121	—	73	32	no	—
753	#121	—	73	32	no	—
754	#121	—	73	32	no	—
755	#121	C₂²×D₇₃	1	32	yes	complemented
756	#120	—	73	16	no	—
757	#120	—	73	16	no	—
758	#120	—	73	16	no	—
759	#120	—	73	16	no	—
760	#120	—	73	32	no	—
761	#120	—	73	32	no	—
762	#120	—	73	16	no	—
763	#120	—	73	16	no	—
764	#120	—	73	32	no	—
765	#120	—	73	32	no	—
766	#120	—	73	32	no	—
767	#120	C₂²×D₇₃	1	16	yes	complemented
768	#120	C₂²×D₇₃	1	16	yes	complemented
769	C₄×D₄	—	73	32	no	—
770	C₄×D₄	—	73	32	no	—
771	C₄×D₄	—	73	32	no	—
772	C₄×D₄	—	73	32	no	—
773	#117	—	73	16	no	—
774	C₂×C₄⋊C₄	—	73	4	no	—
775	C₂×C₄⋊C₄	—	73	4	no	—
776	C₂×C₄⋊C₄	C₂²×D₇₃	1	4	yes	complemented
777	C₂×C₂²⋊C₄	—	73	2	no	—
778	C₂×C₂²⋊C₄	—	73	2	no	—
779	C₂×C₂²⋊C₄	—	73	8	no	—
780	C₂×C₂²⋊C₄	—	73	4	no	—
781	C₂×C₂²⋊C₄	—	73	4	no	—
782	C₂×C₂²⋊C₄	—	73	4	no	—
783	C₂×C₂²⋊C₄	—	73	4	no	—
784	C₂×C₂²⋊C₄	—	73	4	no	—
785	C₂×C₂²⋊C₄	—	73	4	no	—
786	C₂×C₂²⋊C₄	—	73	4	no	—
787	C₂×C₂²⋊C₄	—	73	16	no	—
788	C₂×C₂²⋊C₄	—	73	16	no	—
789	C₂×C₂²⋊C₄	—	73	16	no	—
790	C₂×C₂²⋊C₄	—	73	32	no	—
791	C₂×C₂²⋊C₄	C₂²×D₇₃	1	2	yes	—
792	C₂×C₂²⋊C₄	C₂²×D₇₃	1	8	yes	complemented
793	C₂×C₂²⋊C₄	C₂²×D₇₃	1	4	yes	complemented
794	C₂×C₂²⋊C₄	C₂²×D₇₃	1	2	yes	complemented
795	C₂×C₂²⋊C₄	C₂²×D₇₃	1	4	yes	complemented
796	C₂×C₄²	—	73	4	no	—
797	C₂⁴	—	2	4	no	—
798	C₂⁴	—	2	4	no	—
799	C₂⁴	—	4	4	no	—
800	C₂⁴	—	4	4	no	—
801	C₂⁴	—	4	4	no	—
802	C₂⁴	—	292	4	no	—
803	C₂⁴	—	292	4	no	—
804	C₂⁴	—	292	4	no	—
805	C₂⁴	—	292	4	no	—
806	C₂⁴	—	292	8	no	—
807	C₂⁴	—	292	4	no	—
808	C₂⁴	—	292	8	no	—
809	C₂⁴	—	292	64	no	—
810	C₂⁴	—	292	64	no	—
811	C₂⁴	—	292	32	no	—
812	C₂⁴	—	292	32	no	—
813	C₂⁴	—	73	8	no	—
814	C₂⁴	—	73	4	no	—
815	C₂⁴	—	73	4	no	—
816	C₂⁴	—	73	8	no	—
817	C₂⁴	—	73	4	no	—
818	C₂⁴	—	73	16	no	—
819	C₂⁴	—	73	8	no	—
820	C₂⁴	—	73	8	no	—
821	C₂⁴	—	73	2	no	—
822	C₂⁴	—	73	2	no	—
823	C₂⁴	—	73	4	no	—
824	C₂⁴	—	73	2	no	—
825	C₂⁴	—	73	2	no	—
826	C₂⁴	—	146	8	no	—
827	C₂⁴	—	146	8	no	—
828	C₂⁴	—	146	16	no	—
829	C₂⁴	—	146	32	no	—
830	C₂⁴	—	146	16	no	—
831	C₂⁴	—	146	8	no	—
832	C₂⁴	—	146	8	no	—
833	C₂⁴	—	146	4	no	—
834	C₂⁴	—	146	8	no	—
835	C₂⁴	—	146	8	no	—
836	C₂⁴	—	146	32	no	—
837	C₂⁴	—	146	4	no	—
838	C₂⁴	—	146	4	no	—
839	C₂⁴	D₄×D₇₃	1	8	yes	complemented
840	C₂⁴	C₂³×D₇₃	1	2	yes	—
841	C₂⁴	C₂³×D₇₃	1	2	yes	—
842	C₂⁴	C₂³×D₇₃	1	1	yes	characteristic
843	C₂⁴	C₂³×D₇₃	1	1	yes	characteristic
844	C₂⁴	C₂³×D₇₃	1	1	yes	characteristic
845	C₂⁴	C₂³×D₇₃	1	4	yes	—
846	C₂⁴	C₂³×D₇₃	1	4	yes	—
847	C₂⁴	C₂³×D₇₃	1	4	yes	complemented
848	#41	—	146	64	no	—
849	#41	—	146	64	no	—
850	#41	—	146	64	no	—
851	C₂×Q₈	—	73	8	no	—
852	C₂×Q₈	—	146	8	no	—
853	C₂×D₄	—	2	8	no	—
854	C₂×D₄	—	2	8	no	—
855	C₂×D₄	—	2	8	no	—
856	C₂×D₄	—	2	8	no	—
857	C₂×D₄	—	2	32	no	—
858	C₂×D₄	—	2	32	no	—
859	C₂×D₄	—	4	8	no	—
860	C₂×D₄	—	292	8	no	—
861	C₂×D₄	—	292	32	no	—
862	C₂×D₄	—	292	64	no	—
863	C₂×D₄	—	292	32	no	—
864	C₂×D₄	—	292	8	no	—
865	C₂×D₄	—	292	8	no	—
866	C₂×D₄	—	73	16	no	—
867	C₂×D₄	—	73	16	no	—
868	C₂×D₄	—	73	16	no	—
869	C₂×D₄	—	73	16	no	—
870	C₂×D₄	—	73	64	no	—
871	C₂×D₄	—	73	8	no	—
872	C₂×D₄	—	73	8	no	—
873	C₂×D₄	—	73	16	no	—
874	C₂×D₄	—	73	8	no	—
875	C₂×D₄	—	73	16	no	—
876	C₂×D₄	—	73	8	no	—
877	C₂×D₄	—	73	8	no	—
878	C₂×D₄	—	73	8	no	—
879	C₂×D₄	—	73	16	no	—
880	C₂×D₄	—	73	16	no	—
881	C₂×D₄	—	73	16	no	—
882	C₂×D₄	—	73	8	no	—
883	C₂×D₄	—	146	16	no	—
884	C₂×D₄	—	146	32	no	—
885	C₂×D₄	—	146	16	no	—
886	C₂×D₄	—	146	8	no	—
887	C₂×D₄	—	146	16	no	—
888	C₂×D₄	—	146	32	no	—
889	C₂×D₄	—	146	8	no	—
890	C₂×D₄	—	146	128	no	—
891	C₂×D₄	—	146	128	no	—
892	C₂×D₄	—	146	64	no	—
893	C₂×D₄	—	146	64	no	—
894	C₂×D₄	—	146	64	no	—
895	C₂×D₄	—	146	16	no	—
896	C₂×D₄	—	146	8	no	—
897	C₂×D₄	—	146	8	no	—
898	C₂×D₄	—	146	8	no	—
899	C₂×D₄	—	146	32	no	—
900	C₂×D₄	C₂³×D₇₃	1	8	yes	—
901	C₂×D₄	C₂³×D₇₃	1	8	yes	—
902	C₂×D₄	C₂³×D₇₃	1	8	yes	—
903	C₂×D₄	C₂³×D₇₃	1	8	yes	complemented
904	C₂×D₄	C₂³×D₇₃	1	16	yes	complemented
905	C₂²×C₄	—	2	4	no	—
906	C₂²×C₄	—	2	4	no	—
907	C₂²×C₄	—	4	4	no	—
908	C₂²×C₄	—	292	8	no	—
909	C₂²×C₄	—	292	4	no	—
910	C₂²×C₄	—	73	8	no	—
911	C₂²×C₄	—	73	16	no	—
912	C₂²×C₄	—	73	8	no	—
913	C₂²×C₄	—	73	4	no	—
914	C₂²×C₄	—	73	2	no	—
915	C₂²×C₄	—	73	4	no	—
916	C₂²×C₄	—	73	8	no	—
917	C₂²×C₄	—	73	4	no	—
918	C₂²×C₄	—	73	2	no	—
919	C₂²×C₄	—	73	16	no	—
920	C₂²×C₄	—	73	8	no	—
921	C₂²×C₄	—	73	8	no	—
922	C₂²×C₄	—	146	16	no	—
923	C₂²×C₄	—	146	32	no	—
924	C₂²×C₄	—	146	8	no	—
925	C₂²×C₄	—	146	8	no	—
926	C₂²×C₄	—	146	8	no	—
927	C₂²×C₄	—	146	4	no	—
928	C₂²×C₄	C₂³×D₇₃	1	4	yes	—
929	C₂²×C₄	C₂³×D₇₃	1	4	yes	—
930	C₂²×C₄	C₂³×D₇₃	1	2	yes	—
931	C₂²×C₄	C₂³×D₇₃	1	2	yes	—
932	C₂²×C₄	C₂³×D₇₃	1	4	yes	complemented
933	C₂²×C₄	C₂³×D₇₃	1	8	yes	complemented
934	C₄⋊C₄	—	73	16	no	—
935	C₄⋊C₄	—	73	16	no	—
936	C₄⋊C₄	C₂³×D₇₃	1	16	yes	complemented
937	C₂²⋊C₄	—	73	8	no	—
938	C₂²⋊C₄	—	73	8	no	—
939	C₂²⋊C₄	—	73	16	no	—
940	C₂²⋊C₄	—	73	16	no	—
941	C₂²⋊C₄	—	73	16	no	—
942	C₂²⋊C₄	—	73	16	no	—
943	C₂²⋊C₄	—	73	16	no	—
944	C₂²⋊C₄	—	73	16	no	—
945	C₂²⋊C₄	—	73	16	no	—
946	C₂²⋊C₄	C₂³×D₇₃	1	8	yes	—
947	C₂²⋊C₄	C₂³×D₇₃	1	16	yes	complemented
948	C₂²⋊C₄	C₂³×D₇₃	1	8	yes	complemented
949	C₂²⋊C₄	C₂³×D₇₃	1	16	yes	complemented
950	C₄²	—	73	16	no	—
951	C₂³	—	2	4	no	—
952	C₂³	—	2	4	no	—
953	C₂³	—	2	4	no	—
954	C₂³	—	2	4	no	—
955	C₂³	—	2	8	no	—
956	C₂³	—	2	4	no	—
957	C₂³	—	2	8	no	—
958	C₂³	—	2	8	no	—
959	C₂³	—	2	8	no	—
960	C₂³	—	4	16	no	—
961	C₂³	—	4	8	no	—
962	C₂³	—	4	8	no	—
963	C₂³	—	4	8	no	—
964	C₂³	—	4	16	no	—
965	C₂³	—	8	8	no	—
966	C₂³	—	292	16	no	—
967	C₂³	—	292	32	no	—
968	C₂³	—	292	32	no	—
969	C₂³	—	292	16	no	—
970	C₂³	—	292	8	no	—
971	C₂³	—	292	8	no	—
972	C₂³	—	292	8	no	—
973	C₂³	—	292	8	no	—
974	C₂³	—	292	16	no	—
975	C₂³	—	292	8	no	—
976	C₂³	—	292	16	no	—
977	C₂³	—	292	128	no	—
978	C₂³	—	292	128	no	—
979	C₂³	—	292	64	no	—
980	C₂³	—	584	8	no	—
981	C₂³	—	584	16	no	—
982	C₂³	—	73	16	no	—
983	C₂³	—	73	8	no	—
984	C₂³	—	73	8	no	—
985	C₂³	—	73	4	no	—
986	C₂³	—	73	4	no	—
987	C₂³	—	73	4	no	—
988	C₂³	—	73	4	no	—
989	C₂³	—	146	16	no	—
990	C₂³	—	146	16	no	—
991	C₂³	—	146	32	no	—
992	C₂³	—	146	32	no	—
993	C₂³	—	146	16	no	—
994	C₂³	—	146	16	no	—
995	C₂³	—	146	32	no	—
996	C₂³	—	146	4	no	—
997	C₂³	—	146	8	no	—
998	C₂³	—	146	16	no	—
999	C₂³	—	146	16	no	—
1000	C₂³	—	146	4	no	—
1001	C₂³	—	146	8	no	—
1002	C₂³	—	146	4	no	—
1003	C₂³	—	146	4	no	—
1004	C₂³	—	146	8	no	—
1005	C₂³	—	146	8	no	—
1006	C₂³	—	146	4	no	—
1007	C₂³	—	146	8	no	—
1008	C₂³	—	146	4	no	—
1009	C₂³	C₂×D₄×D₇₃	1	4	yes	—
1010	C₂³	C₂×D₄×D₇₃	1	4	yes	—
1011	C₂³	C₂×D₄×D₇₃	1	4	yes	—
1012	C₂³	C₂×D₄×D₇₃	1	16	yes	complemented
1013	C₂³	C₂⁴×D₇₃	1	4	yes	—
1014	C₂³	C₂⁴×D₇₃	1	4	yes	—
1015	C₂³	C₂⁴×D₇₃	1	2	yes	—
1016	C₂³	C₂⁴×D₇₃	1	2	yes	—
1017	C₂³	C₂⁴×D₇₃	1	2	yes	—
1018	C₂³	C₂⁴×D₇₃	1	1	yes	characteristic
1019	Q₈	—	146	16	no	—
1020	D₄	—	2	16	no	—
1021	D₄	—	2	16	no	—
1022	D₄	—	2	16	no	—
1023	D₄	—	2	16	no	—
1024	D₄	—	4	16	no	—
1025	D₄	—	292	16	no	—
1026	D₄	—	292	16	no	—
1027	D₄	—	292	16	no	—
1028	D₄	—	73	32	no	—
1029	D₄	—	73	32	no	—
1030	D₄	—	146	32	no	—
1031	D₄	—	146	32	no	—
1032	D₄	—	146	16	no	—
1033	D₄	—	146	32	no	—
1034	D₄	—	146	16	no	—
1035	D₄	—	146	32	no	—
1036	D₄	—	146	16	no	—
1037	D₄	—	146	16	no	—
1038	D₄	—	146	16	no	—
1039	C₂×C₄	—	2	8	no	—
1040	C₂×C₄	—	2	4	no	—
1041	C₂×C₄	—	2	4	no	—
1042	C₂×C₄	—	2	8	no	—
1043	C₂×C₄	—	2	8	no	—
1044	C₂×C₄	—	4	8	no	—
1045	C₂×C₄	—	292	16	no	—
1046	C₂×C₄	—	292	8	no	—
1047	C₂×C₄	—	73	8	no	—
1048	C₂×C₄	—	73	16	no	—
1049	C₂×C₄	—	73	4	no	—
1050	C₂×C₄	—	73	8	no	—
1051	C₂×C₄	—	73	4	no	—
1052	C₂×C₄	—	146	32	no	—
1053	C₂×C₄	—	146	16	no	—
1054	C₂×C₄	—	146	16	no	—
1055	C₂×C₄	—	146	16	no	—
1056	C₂×C₄	—	146	4	no	—
1057	C₂×C₄	—	146	8	no	—
1058	C₂×C₄	—	146	8	no	—
1059	C₂×C₄	C₂⁴×D₇₃	1	8	yes	—
1060	C₂×C₄	C₂⁴×D₇₃	1	4	yes	—
1061	C₂×C₄	C₂⁴×D₇₃	1	4	yes	—
1062	C₂²	—	2	8	no	—
1063	C₂²	—	2	8	no	—
1064	C₂²	—	2	8	no	—
1065	C₂²	—	2	4	no	—
1066	C₂²	—	2	4	no	—
1067	C₂²	—	2	4	no	—
1068	C₂²	—	2	4	no	—
1069	C₂²	—	2	4	no	—
1070	C₂²	—	2	8	no	—
1071	C₂²	—	2	8	no	—
1072	C₂²	—	4	16	no	—
1073	C₂²	—	4	16	no	—
1074	C₂²	—	4	8	no	—
1075	C₂²	—	4	8	no	—
1076	C₂²	—	8	8	no	—
1077	C₂²	—	292	16	no	—
1078	C₂²	—	292	32	no	—
1079	C₂²	—	292	32	no	—
1080	C₂²	—	292	16	no	—
1081	C₂²	—	292	64	no	—
1082	C₂²	—	292	8	no	—
1083	C₂²	—	292	8	no	—
1084	C₂²	—	584	8	no	—
1085	C₂²	—	584	16	no	—
1086	C₂²	—	73	8	no	—
1087	C₂²	—	73	8	no	—
1088	C₂²	—	146	32	no	—
1089	C₂²	—	146	4	no	—
1090	C₂²	—	146	4	no	—
1091	C₂²	—	146	8	no	—
1092	C₂²	—	146	4	no	—
1093	C₂²	—	146	4	no	—
1094	C₂²	—	146	16	no	—
1095	C₂²	—	146	16	no	—
1096	C₂²	—	146	4	no	—
1097	C₂²	—	146	8	no	—
1098	C₂²	—	146	4	no	—
1099	C₂²	C₂²×D₄×D₇₃	1	4	yes	—
1100	C₂²	C₂²×D₄×D₇₃	1	4	yes	—
1101	C₂²	C₂²×D₄×D₇₃	1	4	yes	—
1102	C₂²	C₂²×D₄×D₇₃	1	2	yes	—
1103	C₂²	H(5,𝔽₂)×D₇₃	1	4	yes	—
1104	C₂²	C₂⁵×D₇₃	1	1	yes	characteristic
1105	C₄	—	2	4	no	—
1106	C₄	—	2	4	no	—
1107	C₄	—	2	8	no	—
1108	C₄	—	73	8	no	—
1109	C₄	—	146	4	no	—
1110	C₄	—	146	8	no	—
1111	C₂	—	2	4	no	—
1112	C₂	—	2	4	no	—
1113	C₂	—	2	4	no	—
1114	C₂	—	4	4	no	—
1115	C₂	—	4	4	no	—
1116	C₂	—	292	4	no	—
1117	C₂	—	292	4	no	—
1118	C₂	—	146	8	no	—
1119	C₂	—	146	8	no	—
1120	C₂	#22623563	1	4	yes	direct product factor
1121	C₂	C₂³×D₄×D₇₃	1	1	yes	characteristic
1122	C₂	C₂×H(5,𝔽₂)×D₇₃	1	2	yes	—

	subgroup	G/H
center	C₂³	C₂⁴×D₇₃
commutator, cosocle	C₂²×C₇₃	C₂⁶
Frattini	C₂²	C₂⁵×D₇₃
Fitting	C₂×#534×C₇₃	C₂
socle	C₂³×C₇₃	C₂⁵
hypercenter	C₂×#534	D₇₃
hypocenter	C₇₃	C₂×#3484
LCS	G ▷ C₂²×C₇₃ ▷ C₇₃
UCS	C₁ ◁ C₂³ ◁ C₂×#534

Complements

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

N	H ≅ G/N	type
1. C₂²×#14556636	C₂	semidirect
2. C₂³×D₄×D₇₃	C₂	semidirect
3. #22623563	C₂	direct (N × H)
4. C₂×#17989229	C₂	semidirect
5. C₂×#17989226	C₂	semidirect
6. C₂×#17989221	C₂	semidirect
7. C₂×#17989219	C₂	semidirect
8. C₂×#17989152	C₂	semidirect
9. C₂×#17989148	C₂	semidirect
10. C₂×#17989146	C₂	semidirect
11. C₂×#17989095	C₂	semidirect
12. C₂²×#14556561	C₂	semidirect
13. C₂²×#14556559	C₂	semidirect
14. C₂×#120×D₇₃	C₂	semidirect
15. C₂×#17989060	C₂	semidirect
16. C₂×#534×C₇₃	C₂	semidirect
17. C₂⁵×D₇₃	C₂²	semidirect
18. C₂⁵×D₇₃	C₂²	semidirect
20. C₂×#14556636	C₂²	semidirect
21. C₂²×#11924028	C₂²	semidirect
22. C₂²×#11924027	C₂²	semidirect
23. C₂²×#11924027	C₂²	semidirect
24. C₂³×D₂₉₂	C₂²	semidirect
25. C₂³×D₂₉₂	C₂²	semidirect
27. C₂³×C₂²⋊D₇₃	C₂²	semidirect
28. C₂³×C₂²⋊D₇₃	C₂²	semidirect
29. C₂³×C₂²⋊D₇₃	C₂²	semidirect
30. C₂³×C₂²⋊D₇₃	C₂²	semidirect
32. C₂²×D₄×D₇₃	C₂²	semidirect
33. C₂²×D₄×D₇₃	C₂²	semidirect
34. C₂²×D₄×D₇₃	C₂²	semidirect
35. C₂²×D₄×D₇₃	C₂²	semidirect
36. C₂²×D₄×D₇₃	C₂²	semidirect
37. C₂²×D₄×D₇₃	C₂²	semidirect
38. C₂³×C₄×D₇₃	C₂²	semidirect
39. #17989229	C₂²	semidirect
40. #17989226	C₂²	semidirect
41. #17989221	C₂²	semidirect
42. #17989219	C₂²	semidirect
43. #17989152	C₂²	semidirect
44. #17989148	C₂²	semidirect
45. #17989146	C₂²	semidirect
46. C₂×#14556587	C₂²	semidirect
47. C₂×#14556577	C₂²	semidirect
48. #17989095	C₂²	semidirect
49. C₂×#14556576	C₂²	semidirect
50. C₂×#14556574	C₂²	semidirect
51. C₂×#14556572	C₂²	semidirect
52. C₂×#14556569	C₂²	semidirect
53. C₂×#14556566	C₂²	semidirect
54. C₂×#14556564	C₂²	semidirect
55. C₂×#14556564	C₂²	semidirect
56. C₂×#14556564	C₂²	semidirect
57. C₂×#14556563	C₂²	semidirect
58. C₂×#14556563	C₂²	semidirect
59. C₂×#14556561	C₂²	semidirect
60. C₂×#14556561	C₂²	semidirect
61. C₂×#14556561	C₂²	semidirect
62. C₂×#14556561	C₂²	semidirect
63. C₂×#14556561	C₂²	semidirect
64. C₂×#14556561	C₂²	semidirect
65. C₂×#14556560	C₂²	semidirect
66. C₂×#14556559	C₂²	semidirect
67. C₂×#14556559	C₂²	semidirect
68. C₂×#14556559	C₂²	semidirect
69. C₂×#14556559	C₂²	semidirect
70. C₂×#14556559	C₂²	semidirect
71. C₂×#14556559	C₂²	semidirect
72. #120×D₇₃	C₂²	semidirect
73. #17989060	C₂²	semidirect
74. C₂×#14556553	C₂²	semidirect
75. C₂×C₄×C₂²⋊D₇₃	C₂²	semidirect
76. C₂×#14556551	C₂²	semidirect
77. C₂×#14556551	C₂²	semidirect
78. C₂×#14556547	C₂²	semidirect
79. C₂²×C₂²⋊Dic₇₃	C₂²	semidirect
80. C₂²×#11924005	C₂²	semidirect
81. C₂²×#11924005	C₂²	semidirect
82. C₂×C₂²⋊C₄×D₇₃	C₂²	semidirect
83. C₂×C₂²⋊C₄×D₇₃	C₂²	semidirect
84. C₂³×D₄×C₇₃	C₂²	semidirect
85. C₂³×D₄×C₇₃	C₂²	semidirect
86. #534×C₇₃	C₂²	semidirect
87. C₂×#123×C₇₃	C₂²	semidirect
88. C₂×#123×C₇₃	C₂²	semidirect
89. C₂×#121×C₇₃	C₂²	semidirect
90. C₂×#120×C₇₃	C₂²	semidirect
91. C₂×#120×C₇₃	C₂²	semidirect
92. C₂²×C₂²⋊C₄×C₇₃	C₂²	semidirect
103. C₂⁴×D₇₃	C₂³	semidirect
104. C₂⁴×D₇₃	C₂³	semidirect
105. C₂⁴×D₇₃	C₂³	semidirect
106. C₂⁴×D₇₃	C₂³	semidirect
109. C₂×#11924028	C₂³	semidirect
112. C₂×#11924027	C₂³	semidirect
113. C₂×#11924027	C₂³	semidirect
114. C₂²×Dic₁₄₆	C₂³	semidirect
119. C₂²×D₂₉₂	C₂³	semidirect
120. C₂²×D₂₉₂	C₂³	semidirect
121. C₂²×D₂₉₂	C₂³	semidirect
122. C₂²×D₂₉₂	C₂³	semidirect
127. C₂²×C₂²⋊D₇₃	D₄	semidirect
134. C₂²×C₂²⋊D₇₃	C₂³	semidirect
135. C₂²×C₂²⋊D₇₃	C₂³	semidirect
136. C₂²×C₂²⋊D₇₃	C₂³	semidirect
137. C₂²×C₂²⋊D₇₃	C₂³	semidirect
138. C₂²×C₂²⋊D₇₃	C₂³	semidirect
139. C₂²×C₂²⋊D₇₃	C₂³	semidirect
140. C₂²×C₂²⋊D₇₃	C₂³	semidirect
141. C₂²×C₂²⋊D₇₃	C₂³	semidirect
142. C₂²×C₂²⋊D₇₃	C₂³	semidirect
149. C₂×D₄×D₇₃	C₂³	semidirect
150. C₂×D₄×D₇₃	C₂³	semidirect
151. C₂×D₄×D₇₃	C₂³	semidirect
152. C₂×D₄×D₇₃	C₂³	semidirect
153. C₂×D₄×D₇₃	C₂³	semidirect
155. C₂³×Dic₇₃	C₂³	semidirect
156. C₂³×Dic₇₃	C₂³	semidirect
157. C₂³×Dic₇₃	C₂³	semidirect
160. C₂²×C₄×D₇₃	C₂³	semidirect
161. C₂²×C₄×D₇₃	C₂³	semidirect
162. C₂²×C₄×D₇₃	C₂³	semidirect
163. C₂²×C₄×D₇₃	C₂³	semidirect
164. #14556587	C₂³	semidirect
165. #14556577	C₂³	semidirect
166. #14556576	C₂³	semidirect
167. #14556574	C₂³	semidirect
168. #14556572	C₂³	semidirect
169. #14556569	C₂³	semidirect
170. #14556566	C₂³	semidirect
171. #14556564	C₂³	semidirect
172. #14556564	C₂³	semidirect
173. #14556564	C₂³	semidirect
174. #14556563	C₂³	semidirect
175. #14556563	C₂³	semidirect
176. #14556561	C₂³	semidirect
177. #14556561	C₂³	semidirect
178. #14556561	C₂³	semidirect
179. #14556561	C₂³	semidirect
180. #14556561	C₂³	semidirect
181. #14556560	C₂³	semidirect
182. #14556559	C₂³	semidirect
183. #14556559	C₂³	semidirect
184. #14556559	C₂³	semidirect
185. #14556559	C₂³	semidirect
186. #14556559	C₂³	semidirect
187. #14556553	C₂³	semidirect
188. C₄×C₂²⋊D₇₃	C₂³	semidirect
189. #14556551	C₂³	semidirect
190. #14556551	C₂³	semidirect
191. #14556547	C₂³	semidirect
192. C₂×#11924007	C₂³	semidirect
193. C₂×#11924007	C₂³	semidirect
195. C₂×C₂²⋊Dic₇₃	C₂³	semidirect
196. C₂×C₂²⋊Dic₇₃	C₂³	semidirect
197. C₂×C₂²⋊Dic₇₃	C₂³	semidirect
200. C₂×#11924005	C₂³	semidirect
201. C₂×#11924005	C₂³	semidirect
202. C₂×#11924005	C₂³	semidirect
203. C₂×#11924005	C₂³	semidirect
204. C₂×#11924005	C₂³	semidirect
205. C₂×#11924005	C₂³	semidirect
206. C₂²⋊C₄×D₇₃	C₂³	semidirect
207. C₂²⋊C₄×D₇₃	C₂³	semidirect
208. C₂×C₄×Dic₇₃	C₂³	semidirect
211. C₂⁵×C₇₃	C₂³	semidirect
217. C₂²×D₄×C₇₃	C₂³	semidirect
218. C₂²×D₄×C₇₃	C₂³	semidirect
219. C₂²×D₄×C₇₃	C₂³	semidirect
220. C₂²×D₄×C₇₃	C₂³	semidirect
222. C₂³×C₄×C₇₃	C₂³	semidirect
223. C₂³×C₄×C₇₃	C₂³	semidirect
224. #123×C₇₃	C₂³	semidirect
225. #123×C₇₃	C₂³	semidirect
226. #121×C₇₃	C₂³	semidirect
227. #120×C₇₃	C₂³	semidirect
228. #120×C₇₃	C₂³	semidirect
229. C₂×C₄⋊C₄×C₇₃	C₂³	semidirect
231. C₂×C₂²⋊C₄×C₇₃	C₂³	semidirect
232. C₂×C₂²⋊C₄×C₇₃	C₂³	semidirect
233. C₂×C₂²⋊C₄×C₇₃	C₂³	semidirect
234. C₂×C₂²⋊C₄×C₇₃	C₂³	semidirect
259. C₂³×D₇₃	C₂×D₄	semidirect
270. C₂³×D₇₃	C₂⁴	semidirect
271. C₂³×D₇₃	C₂⁴	semidirect
276. C₂×Dic₁₄₆	C₂⁴	semidirect
285. C₂×D₂₉₂	C₂⁴	semidirect
286. C₂×D₂₉₂	C₂⁴	semidirect
299. C₂×C₂²⋊D₇₃	C₂×D₄	semidirect
300. C₂×C₂²⋊D₇₃	C₂×D₄	semidirect
301. C₂×C₂²⋊D₇₃	C₂×D₄	semidirect
307. C₂×C₂²⋊D₇₃	C₂⁴	semidirect
308. C₂×C₂²⋊D₇₃	C₂⁴	semidirect
309. C₂×C₂²⋊D₇₃	C₂⁴	semidirect
310. C₂×C₂²⋊D₇₃	C₂⁴	semidirect
311. C₂×C₂²⋊D₇₃	C₂⁴	semidirect
320. C₂²×Dic₇₃	C₂×D₄	semidirect
325. C₂²×Dic₇₃	C₂⁴	semidirect
326. C₂²×Dic₇₃	C₂⁴	semidirect
327. C₂²×Dic₇₃	C₂⁴	semidirect
334. C₂×C₄×D₇₃	C₂⁴	semidirect
335. C₂×C₄×D₇₃	C₂⁴	semidirect
336. C₂×C₄×D₇₃	C₂⁴	semidirect
337. #11924007	C₂⁴	semidirect
338. #11924007	C₂⁴	semidirect
340. C₂²⋊Dic₇₃	C₂⁴	semidirect
341. C₂²⋊Dic₇₃	C₂⁴	semidirect
344. #11924005	C₂⁴	semidirect
345. #11924005	C₂⁴	semidirect
346. #11924005	C₂⁴	semidirect
347. #11924005	C₂⁴	semidirect
348. C₄×Dic₇₃	C₂⁴	semidirect
354. C₂⁴×C₇₃	C₂×D₄	semidirect
362. C₂⁴×C₇₃	C₂⁴	semidirect
373. C₂×D₄×C₇₃	C₂⁴	semidirect
374. C₂×D₄×C₇₃	C₂⁴	semidirect
382. C₂²×C₄×C₇₃	C₂⁴	semidirect
383. C₂²×C₄×C₇₃	C₂⁴	semidirect
384. C₄⋊C₄×C₇₃	C₂⁴	semidirect
386. C₂²⋊C₄×C₇₃	C₂⁴	semidirect
387. C₂²⋊C₄×C₇₃	C₂⁴	semidirect
388. C₂²⋊C₄×C₇₃	C₂⁴	semidirect
407. C₂³×C₇₃	C₂²×D₄	semidirect
451. C₂²×D₇₃	C₂²×D₄	semidirect
452. C₂²×D₇₃	H(5,𝔽₂)	semidirect
479. C₂²⋊D₇₃	C₂²×D₄	semidirect
480. C₂²⋊D₇₃	C₂²×D₄	semidirect
487. C₂×Dic₇₃	C₂²×D₄	semidirect
542. C₂×D₇₃	C₂×H(5,𝔽₂)	semidirect
555. C₂×C₇₃	#3484	semidirect
572. C₂×#534	D₇₃	semidirect
578. C₇₃	C₂×#3484	semidirect
600. C₂³×D₄	C₂×D₇₃	semidirect
601. C₂³×D₄	C₂×D₇₃	semidirect
610. #534	C₂×D₇₃	semidirect
617. C₂×#123	C₂×D₇₃	semidirect
618. C₂×#123	C₂×D₇₃	semidirect
626. C₂×#121	C₂×D₇₃	semidirect
641. C₂×#120	C₂×D₇₃	semidirect
642. C₂×#120	C₂×D₇₃	semidirect
654. C₂²×C₂²⋊C₄	C₂×D₇₃	semidirect
671. C₂⁵	C₂²×D₇₃	semidirect
724. C₂²×D₄	C₂²×D₇₃	semidirect
725. C₂²×D₄	C₂²×D₇₃	semidirect
726. C₂²×D₄	C₂²×D₇₃	semidirect
727. C₂²×D₄	C₂²×D₇₃	semidirect
739. C₂³×C₄	C₂²×D₇₃	semidirect
740. C₂³×C₄	C₂²×D₇₃	semidirect
746. #123	C₂²×D₇₃	semidirect
747. #123	C₂²×D₇₃	semidirect
755. #121	C₂²×D₇₃	semidirect
767. #120	C₂²×D₇₃	semidirect
768. #120	C₂²×D₇₃	semidirect
776. C₂×C₄⋊C₄	C₂²×D₇₃	semidirect
792. C₂×C₂²⋊C₄	C₂²×D₇₃	semidirect
793. C₂×C₂²⋊C₄	C₂²×D₇₃	semidirect
794. C₂×C₂²⋊C₄	C₂²×D₇₃	semidirect
795. C₂×C₂²⋊C₄	C₂²×D₇₃	semidirect
839. C₂⁴	D₄×D₇₃	semidirect
847. C₂⁴	C₂³×D₇₃	semidirect
903. C₂×D₄	C₂³×D₇₃	semidirect
904. C₂×D₄	C₂³×D₇₃	semidirect
932. C₂²×C₄	C₂³×D₇₃	semidirect
933. C₂²×C₄	C₂³×D₇₃	semidirect
936. C₄⋊C₄	C₂³×D₇₃	semidirect
947. C₂²⋊C₄	C₂³×D₇₃	semidirect
948. C₂²⋊C₄	C₂³×D₇₃	semidirect
949. C₂²⋊C₄	C₂³×D₇₃	semidirect
1012. C₂³	C₂×D₄×D₇₃	semidirect
1120. C₂	#22623563	direct (N × H)

Maximal subgroups

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

subgroup	index
C₂²×#14556636	2
C₂³×D₄×D₇₃	2
#22623563	2
C₂×#17989229	2
C₂×#17989226	2
C₂×#17989221	2
C₂×#17989219	2
C₂×#17989152	2
C₂×#17989148	2
C₂×#17989146	2
C₂×#17989095	2
C₂²×#14556561	2
C₂²×#14556559	2
C₂×#120×D₇₃	2
C₂×#17989060	2
C₂×#534×C₇₃	2
C₂×#3484	73

Subgroups — C2×#22623563 #33993865

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₂×#22623563 #33993865