Subgroups — C₂×#22623760 #33993902

Order 18688.

8082 conjugacy classes of subgroups.

The subgroup lattice has 1408 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#22623760	C₂	1	32	yes	maximal, direct product factor
2	C₂×#17989289	C₂	1	2	yes	maximal, complemented
3	C₂×#17989285	C₂	1	1	yes	maximal, characteristic, complemented
4	C₂×#17989283	C₂	1	2	yes	maximal, complemented
5	C₂×#17989276	C₂	1	1	yes	maximal, characteristic, complemented
6	C₂×#17989275	C₂	1	1	yes	maximal, characteristic, complemented
7	C₂×#17989262	C₂	1	2	yes	maximal, complemented
8	C₂×#17989260	C₂	1	2	yes	maximal, complemented
9	C₂×#17989246	C₂	1	1	yes	maximal, characteristic, complemented
10	C₂×#17989243	C₂	1	1	yes	maximal, characteristic, complemented
11	C₂×#17989234	C₂	1	1	yes	maximal, characteristic, complemented
12	C₂×#17989232	C₂	1	1	yes	maximal, characteristic, complemented
13	C₂×#17989178	C₂	1	2	yes	maximal, complemented
14	C₂×#17989173	C₂	1	2	yes	maximal, complemented
15	C₂×#17989145	C₂	1	2	yes	maximal, complemented
16	C₂×#17989122	C₂	1	1	yes	maximal, characteristic, complemented
17	C₂×#17989119	C₂	1	1	yes	maximal, characteristic, complemented
18	C₂×#17989099	C₂	1	1	yes	maximal, characteristic, complemented
19	C₂×#17989097	C₂	1	1	yes	maximal, characteristic, complemented
20	C₂²×#14556571	C₂	1	1	yes	maximal, characteristic, complemented
21	C₂×#121×D₇₃	C₂	1	1	yes	maximal, characteristic, complemented
22	C₂×#17989059	C₂	1	2	yes	maximal, complemented
23	C₂×C₄×D₄×D₇₃	C₂	1	1	yes	maximal, characteristic, complemented
24	C₂×#553×C₇₃	C₂	1	1	yes	maximal, characteristic, complemented
25	C₂²×#11924028	C₂²	1	1	yes	characteristic, complemented
26	C₂²×#11924027	C₂²	1	1	yes	characteristic, complemented
27	C₂³×Dic₁₄₆	C₂²	1	1	yes	characteristic, complemented
28	C₂²×D₄×D₇₃	C₂²	1	1	yes	characteristic
29	C₂²×D₄×D₇₃	C₂²	1	2	yes	—
30	C₂²×D₄×D₇₃	C₂²	1	1	yes	characteristic, complemented
31	C₂³×C₄×D₇₃	C₂²	1	1	yes	characteristic
32	C₂³×C₄×D₇₃	C₂²	1	1	yes	characteristic, complemented
33	#17989289	C₂²	1	32	yes	complemented
34	#17989285	C₂²	1	16	yes	complemented
35	#17989283	C₂²	1	32	yes	complemented
36	#17989276	C₂²	1	16	yes	complemented
37	#17989275	C₂²	1	16	yes	complemented
38	#17989262	C₂²	1	32	yes	complemented
39	#17989260	C₂²	1	32	yes	complemented
40	#17989246	C₂²	1	16	yes	complemented
41	#17989243	C₂²	1	16	yes	complemented
42	#17989234	C₂²	1	16	yes	complemented
43	#17989232	C₂²	1	16	yes	complemented
44	#17989178	C₂²	1	32	yes	complemented
45	#17989173	C₂²	1	32	yes	complemented
46	#17989145	C₂²	1	32	yes	complemented
47	#17989122	C₂²	1	16	yes	complemented
48	#17989119	C₂²	1	16	yes	complemented
49	C₂×#14556586	C₂²	1	2	yes	complemented
50	C₂×#14556586	C₂²	1	2	yes	complemented
51	C₂×#14556586	C₂²	1	2	yes	complemented
52	C₂×#14556584	C₂²	1	2	yes	complemented
53	C₂×#14556584	C₂²	1	2	yes	complemented
54	C₂×#14556583	C₂²	1	2	yes	complemented
55	C₂×#14556582	C₂²	1	2	yes	complemented
56	C₂×#14556582	C₂²	1	1	yes	characteristic, complemented
57	C₂×#14556579	C₂²	1	1	yes	characteristic, complemented
58	C₂×#14556578	C₂²	1	1	yes	characteristic, complemented
59	C₂×#14556577	C₂²	1	2	yes	complemented
60	C₂×#14556577	C₂²	1	2	yes	complemented
61	#17989099	C₂²	1	16	yes	complemented
62	#17989097	C₂²	1	16	yes	complemented
63	C₂×#14556576	C₂²	1	2	yes	—
64	C₂×#14556576	C₂²	1	2	yes	complemented
65	C₂×#14556576	C₂²	1	2	yes	complemented
66	C₂×#14556575	C₂²	1	2	yes	complemented
67	C₂×#14556575	C₂²	1	2	yes	complemented
68	C₂×#14556573	C₂²	1	2	yes	—
69	C₂×#14556573	C₂²	1	2	yes	complemented
70	C₂×#14556573	C₂²	1	2	yes	complemented
71	C₂×#14556573	C₂²	1	2	yes	complemented
72	C₂×#14556571	C₂²	1	2	yes	complemented
73	C₂×#14556571	C₂²	1	1	yes	characteristic, complemented
74	C₂×#14556571	C₂²	1	1	yes	characteristic, complemented
75	C₂×#14556571	C₂²	1	1	yes	characteristic, complemented
76	C₂×#14556571	C₂²	1	2	yes	complemented
77	C₂×#14556571	C₂²	1	1	yes	characteristic, complemented
78	C₂×#14556571	C₂²	1	1	yes	characteristic, complemented
79	C₂×#14556571	C₂²	1	16	yes	complemented
80	C₂×#14556570	C₂²	1	1	yes	characteristic, complemented
81	C₂×#14556569	C₂²	1	2	yes	complemented
82	C₂×#14556568	C₂²	1	2	yes	complemented
83	C₂×#14556566	C₂²	1	1	yes	characteristic
84	C₂×#14556566	C₂²	1	1	yes	characteristic, complemented
85	C₂×#14556565	C₂²	1	2	yes	complemented
86	C₂×#14556565	C₂²	1	1	yes	characteristic, complemented
87	C₂×#14556565	C₂²	1	2	yes	complemented
88	C₂×#14556564	C₂²	1	2	yes	—
89	C₂×#14556563	C₂²	1	2	yes	complemented
90	C₂×#14556563	C₂²	1	2	yes	complemented
91	C₂×#14556563	C₂²	1	2	yes	complemented
92	C₂×#14556562	C₂²	1	1	yes	characteristic
93	C₂×#14556562	C₂²	1	2	yes	complemented
94	#121×D₇₃	C₂²	1	16	yes	complemented
95	C₂×#14556561	C₂²	1	2	yes	—
96	C₂×#14556561	C₂²	1	2	yes	complemented
97	C₂×#14556559	C₂²	1	2	yes	—
98	C₂×#14556559	C₂²	1	2	yes	complemented
99	#17989059	C₂²	1	32	yes	complemented
100	C₂×C₄×Dic₁₄₆	C₂²	1	1	yes	characteristic, complemented
101	C₂×#14556556	C₂²	1	1	yes	characteristic, complemented
102	C₂×C₄×D₂₉₂	C₂²	1	1	yes	characteristic
103	C₂×C₄×D₂₉₂	C₂²	1	2	yes	complemented
104	C₂×C₄×D₂₉₂	C₂²	1	2	yes	complemented
105	C₂×D₄×Dic₇₃	C₂²	1	1	yes	characteristic, complemented
106	C₂×D₄×Dic₇₃	C₂²	1	2	yes	complemented
107	C₂×D₄×Dic₇₃	C₂²	1	2	yes	complemented
108	C₂×#14556553	C₂²	1	1	yes	characteristic
109	C₂×#14556553	C₂²	1	2	yes	complemented
110	C₂×#14556553	C₂²	1	1	yes	characteristic, complemented
111	C₂×C₄×C₂²⋊D₇₃	C₂²	1	1	yes	characteristic
112	C₂×C₄×C₂²⋊D₇₃	C₂²	1	2	yes	complemented
113	C₂×C₄×C₂²⋊D₇₃	C₂²	1	1	yes	characteristic, complemented
114	C₂×C₄×C₂²⋊D₇₃	C₂²	1	2	yes	complemented
115	C₂×#14556551	C₂²	1	1	yes	characteristic
116	C₂×#14556551	C₂²	1	2	yes	complemented
117	C₂×#14556551	C₂²	1	1	yes	characteristic, complemented
118	C₂×#14556551	C₂²	1	2	yes	complemented
119	C₄×D₄×D₇₃	C₂²	1	16	yes	complemented
120	C₂×#14556550	C₂²	1	2	yes	complemented
121	C₂×#14556549	C₂²	1	2	yes	complemented
122	C₂×#14556549	C₂²	1	2	yes	complemented
123	C₂×#14556549	C₂²	1	1	yes	characteristic, complemented
124	C₂×#14556548	C₂²	1	2	yes	complemented
125	C₂²×C₄⋊Dic₇₃	C₂²	1	2	yes	complemented
126	C₂×C₄⋊C₄×D₇₃	C₂²	1	1	yes	characteristic, complemented
127	C₂×C₄⋊C₄×D₇₃	C₂²	1	1	yes	characteristic, complemented
128	C₂²×#11924005	C₂²	1	2	yes	—
129	C₂²×#11924005	C₂²	1	2	yes	complemented
130	C₂×C₂²⋊C₄×D₇₃	C₂²	1	1	yes	characteristic
131	C₂×C₂²⋊C₄×D₇₃	C₂²	1	1	yes	characteristic, complemented
132	C₂×C₂²⋊C₄×D₇₃	C₂²	1	2	yes	complemented
133	C₂×C₂²⋊C₄×D₇₃	C₂²	1	2	yes	complemented
134	C₂×C₄²×D₇₃	C₂²	1	1	yes	characteristic, complemented
135	#553×C₇₃	C₂²	1	16	yes	complemented
136	C₂×#126×C₇₃	C₂²	1	2	yes	complemented
137	C₂×#125×C₇₃	C₂²	1	1	yes	characteristic, complemented
138	C₂×#123×C₇₃	C₂²	1	2	yes	complemented
139	C₂×#121×C₇₃	C₂²	1	1	yes	characteristic, complemented
140	C₂×#121×C₇₃	C₂²	1	1	yes	characteristic, complemented
141	C₂×#121×C₇₃	C₂²	1	2	yes	complemented
142	C₂×C₄×D₄×C₇₃	C₂²	1	1	yes	characteristic, complemented
143	C₂×C₄×D₄×C₇₃	C₂²	1	2	yes	complemented
144	C₂×C₄×D₄×C₇₃	C₂²	1	1	yes	characteristic, complemented
145	C₂×#117×C₇₃	C₂²	1	1	yes	characteristic, complemented
146	C₂²×C₄⋊C₄×C₇₃	C₂²	1	1	yes	characteristic, complemented
147	C₂⁴×D₇₃	C₂³	1	1	yes	characteristic
148	C₂⁴×D₇₃	C₂³	1	2	yes	—
149	C₂⁴×D₇₃	C₂³	1	1	yes	characteristic
150	C₂×#11924028	—	4	4	no	—
151	C₂×#11924028	C₂³	1	8	yes	complemented
152	C₂×#11924027	—	4	4	no	—
153	C₂×#11924027	C₂³	1	8	yes	complemented
154	C₂²×Dic₁₄₆	—	4	4	no	—
155	C₂²×Dic₁₄₆	C₂³	1	1	yes	characteristic
156	C₂²×Dic₁₄₆	C₂³	1	1	yes	characteristic
157	C₂²×Dic₁₄₆	C₂³	1	2	yes	—
158	C₂²×Dic₁₄₆	C₂³	1	8	yes	complemented
159	C₂²×D₂₉₂	C₂³	1	1	yes	characteristic
160	C₂²×D₂₉₂	C₂³	1	2	yes	—
161	C₂²×D₂₉₂	C₂³	1	1	yes	characteristic
162	C₂²×D₂₉₂	C₂³	1	2	yes	—
163	C₂²×C₂²⋊D₇₃	C₂³	1	1	yes	characteristic
164	C₂²×C₂²⋊D₇₃	C₂³	1	2	yes	—
165	C₂²×C₂²⋊D₇₃	C₂³	1	1	yes	characteristic
166	C₂²×C₂²⋊D₇₃	C₂³	1	2	yes	—
167	C₂²×C₂²⋊D₇₃	C₂³	1	2	yes	—
168	C₂²×C₂²⋊D₇₃	C₂³	1	2	yes	—
169	C₂²×C₂²⋊D₇₃	C₂³	1	2	yes	—
170	C₂×D₄×D₇₃	—	2	8	no	—
171	C₂×D₄×D₇₃	—	2	16	no	—
172	C₂×D₄×D₇₃	—	4	4	no	—
173	C₂×D₄×D₇₃	C₂³	1	8	yes	—
174	C₂×D₄×D₇₃	C₂³	1	16	yes	—
175	C₂×D₄×D₇₃	C₂³	1	8	yes	complemented
176	C₂³×Dic₇₃	C₂³	1	1	yes	characteristic
177	C₂³×Dic₇₃	C₂³	1	1	yes	characteristic
178	C₂³×Dic₇₃	C₂³	1	2	yes	—
179	C₂³×Dic₇₃	C₂³	1	2	yes	—
180	C₂²×C₄×D₇₃	—	4	4	no	—
181	C₂²×C₄×D₇₃	—	4	4	no	—
182	C₂²×C₄×D₇₃	C₂³	1	1	yes	characteristic
183	C₂²×C₄×D₇₃	C₂³	1	1	yes	characteristic
184	C₂²×C₄×D₇₃	C₂³	1	1	yes	characteristic
185	C₂²×C₄×D₇₃	C₂³	1	1	yes	characteristic
186	C₂²×C₄×D₇₃	C₂³	1	2	yes	—
187	C₂²×C₄×D₇₃	C₂³	1	1	yes	characteristic
188	C₂²×C₄×D₇₃	C₂³	1	1	yes	characteristic
189	C₂²×C₄×D₇₃	C₂³	1	8	yes	—
190	C₂²×C₄×D₇₃	C₂³	1	1	yes	characteristic
191	C₂²×C₄×D₇₃	C₂³	1	1	yes	characteristic
192	C₂²×C₄×D₇₃	C₂³	1	2	yes	—
193	C₂²×C₄×D₇₃	C₂³	1	1	yes	characteristic
194	C₂²×C₄×D₇₃	C₂³	1	2	yes	—
195	C₂²×C₄×D₇₃	C₂³	1	8	yes	complemented
196	#14556586	C₂³	1	16	yes	complemented
197	#14556586	C₂³	1	16	yes	complemented
198	#14556586	C₂³	1	16	yes	complemented
199	#14556584	C₂³	1	16	yes	complemented
200	#14556584	C₂³	1	16	yes	complemented
201	#14556583	C₂³	1	16	yes	complemented
202	#14556582	C₂³	1	16	yes	complemented
203	#14556582	C₂³	1	8	yes	complemented
204	#14556579	C₂³	1	8	yes	complemented
205	#14556578	C₂³	1	8	yes	complemented
206	#14556577	C₂³	1	16	yes	complemented
207	#14556577	C₂³	1	16	yes	complemented
208	#14556576	C₂³	1	16	yes	—
209	#14556576	C₂³	1	16	yes	complemented
210	#14556576	C₂³	1	16	yes	complemented
211	#14556575	C₂³	1	16	yes	complemented
212	#14556575	C₂³	1	16	yes	complemented
213	#14556573	C₂³	1	16	yes	—
214	#14556573	C₂³	1	16	yes	complemented
215	#14556573	C₂³	1	16	yes	complemented
216	#14556573	C₂³	1	16	yes	complemented
217	#14556571	C₂³	1	8	yes	complemented
218	#14556571	C₂³	1	16	yes	complemented
219	#14556571	C₂³	1	8	yes	complemented
220	#14556571	C₂³	1	8	yes	complemented
221	#14556571	C₂³	1	8	yes	complemented
222	#14556571	C₂³	1	16	yes	complemented
223	#14556571	C₂³	1	8	yes	complemented
224	#14556570	C₂³	1	8	yes	complemented
225	#14556569	C₂³	1	16	yes	complemented
226	#14556568	C₂³	1	16	yes	complemented
227	#14556566	C₂³	1	8	yes	—
228	#14556566	C₂³	1	8	yes	complemented
229	#14556565	C₂³	1	16	yes	complemented
230	#14556565	C₂³	1	16	yes	complemented
231	#14556565	C₂³	1	8	yes	complemented
232	#14556564	C₂³	1	16	yes	—
233	#14556563	C₂³	1	16	yes	complemented
234	#14556563	C₂³	1	16	yes	complemented
235	#14556563	C₂³	1	16	yes	complemented
236	#14556562	C₂³	1	8	yes	—
237	#14556562	C₂³	1	16	yes	complemented
238	#14556561	C₂³	1	16	yes	—
239	#14556561	C₂³	1	16	yes	complemented
240	#14556559	C₂³	1	16	yes	—
241	#14556559	C₂³	1	16	yes	complemented
242	C₄×Dic₁₄₆	C₂³	1	8	yes	complemented
243	#14556556	C₂³	1	8	yes	complemented
244	C₄×D₂₉₂	C₂³	1	8	yes	—
245	C₄×D₂₉₂	C₂³	1	16	yes	complemented
246	C₄×D₂₉₂	C₂³	1	16	yes	complemented
247	D₄×Dic₇₃	C₂³	1	16	yes	complemented
248	D₄×Dic₇₃	C₂³	1	16	yes	complemented
249	D₄×Dic₇₃	C₂³	1	8	yes	complemented
250	#14556553	C₂³	1	8	yes	—
251	#14556553	C₂³	1	16	yes	complemented
252	#14556553	C₂³	1	8	yes	complemented
253	C₄×C₂²⋊D₇₃	C₂³	1	8	yes	—
254	C₄×C₂²⋊D₇₃	C₂³	1	16	yes	complemented
255	C₄×C₂²⋊D₇₃	C₂³	1	8	yes	complemented
256	C₄×C₂²⋊D₇₃	C₂³	1	16	yes	complemented
257	#14556551	C₂³	1	8	yes	—
258	#14556551	C₂³	1	16	yes	complemented
259	#14556551	C₂³	1	16	yes	complemented
260	#14556551	C₂³	1	8	yes	complemented
261	#14556550	C₂³	1	16	yes	complemented
262	#14556549	C₂³	1	16	yes	complemented
263	#14556549	C₂³	1	16	yes	complemented
264	#14556549	C₂³	1	8	yes	complemented
265	#14556548	C₂³	1	16	yes	complemented
266	C₂×C₄⋊Dic₇₃	C₂³	1	1	yes	characteristic
267	C₂×C₄⋊Dic₇₃	C₂³	1	1	yes	characteristic
268	C₂×C₄⋊Dic₇₃	C₂³	1	2	yes	—
269	C₂×C₄⋊Dic₇₃	C₂³	1	2	yes	—
270	C₂×C₄⋊Dic₇₃	C₂³	1	2	yes	—
271	C₂×C₄⋊Dic₇₃	C₂³	1	2	yes	—
272	C₂×C₄⋊Dic₇₃	C₂³	1	2	yes	—
273	C₂×C₄⋊Dic₇₃	C₂³	1	2	yes	—
274	C₂×C₄⋊Dic₇₃	C₂³	1	16	yes	complemented
275	C₂×#11924007	C₂³	1	1	yes	characteristic
276	C₂×#11924007	C₂³	1	1	yes	characteristic
277	C₂×#11924007	C₂³	1	2	yes	—
278	C₂×#11924007	C₂³	1	2	yes	—
279	C₂×#11924007	C₂³	1	2	yes	—
280	C₂×#11924007	C₂³	1	2	yes	—
281	C₂×#11924007	C₂³	1	2	yes	—
282	C₄⋊C₄×D₇₃	C₂³	1	8	yes	complemented
283	C₄⋊C₄×D₇₃	C₂³	1	8	yes	complemented
284	C₂×C₂²⋊Dic₇₃	C₂³	1	1	yes	characteristic
285	C₂×C₂²⋊Dic₇₃	C₂³	1	2	yes	—
286	C₂×C₂²⋊Dic₇₃	C₂³	1	1	yes	characteristic
287	C₂×C₂²⋊Dic₇₃	C₂³	1	2	yes	—
288	C₂×C₂²⋊Dic₇₃	C₂³	1	2	yes	—
289	C₂×C₂²⋊Dic₇₃	C₂³	1	2	yes	—
290	C₂×#11924005	C₂³	1	16	yes	—
291	C₂×#11924005	C₂³	1	1	yes	characteristic
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	1	yes	characteristic
296	C₂×#11924005	C₂³	1	1	yes	characteristic
297	C₂×#11924005	C₂³	1	2	yes	—
298	C₂×#11924005	C₂³	1	2	yes	—
299	C₂×#11924005	C₂³	1	2	yes	—
300	C₂×#11924005	C₂³	1	2	yes	—
301	C₂×#11924005	C₂³	1	2	yes	—
302	C₂×#11924005	C₂³	1	2	yes	—
303	C₂×#11924005	C₂³	1	2	yes	—
304	C₂×#11924005	C₂³	1	2	yes	—
305	C₂×#11924005	C₂³	1	2	yes	—
306	C₂×#11924005	C₂³	1	2	yes	—
307	C₂×#11924005	C₂³	1	16	yes	complemented
308	C₂²⋊C₄×D₇₃	C₂³	1	8	yes	—
309	C₂²⋊C₄×D₇₃	C₂³	1	8	yes	complemented
310	C₂²⋊C₄×D₇₃	C₂³	1	16	yes	complemented
311	C₂²⋊C₄×D₇₃	C₂³	1	16	yes	complemented
312	C₂×C₄×Dic₇₃	C₂³	1	1	yes	characteristic
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	C₂×C₄×Dic₇₃	C₂³	1	2	yes	—
317	C₂×C₄×Dic₇₃	C₂³	1	2	yes	—
318	C₄²×D₇₃	C₂³	1	8	yes	complemented
319	C₂²×D₄×C₇₃	C₂³	1	1	yes	characteristic
320	C₂²×D₄×C₇₃	C₂³	1	2	yes	—
321	C₂²×D₄×C₇₃	C₂³	1	1	yes	characteristic
322	C₂²×D₄×C₇₃	C₂³	1	2	yes	—
323	C₂³×C₄×C₇₃	C₂³	1	1	yes	characteristic
324	C₂³×C₄×C₇₃	C₂³	1	1	yes	characteristic
325	C₂³×C₄×C₇₃	C₂³	1	2	yes	—
326	C₂³×C₄×C₇₃	C₂³	1	2	yes	—
327	#126×C₇₃	C₂³	1	16	yes	complemented
328	#125×C₇₃	C₂³	1	8	yes	complemented
329	#123×C₇₃	C₂³	1	16	yes	complemented
330	#121×C₇₃	C₂³	1	16	yes	complemented
331	#121×C₇₃	C₂³	1	8	yes	complemented
332	#121×C₇₃	C₂³	1	8	yes	complemented
333	C₄×D₄×C₇₃	C₂³	1	8	yes	complemented
334	C₄×D₄×C₇₃	C₂³	1	8	yes	complemented
335	C₄×D₄×C₇₃	C₂³	1	16	yes	complemented
336	#117×C₇₃	C₂³	1	8	yes	complemented
337	C₂×C₄⋊C₄×C₇₃	C₂³	1	1	yes	characteristic
338	C₂×C₄⋊C₄×C₇₃	C₂³	1	1	yes	characteristic
339	C₂×C₄⋊C₄×C₇₃	C₂³	1	2	yes	—
340	C₂×C₄⋊C₄×C₇₃	C₂³	1	1	yes	characteristic
341	C₂×C₄⋊C₄×C₇₃	C₂³	1	2	yes	—
342	C₂×C₄⋊C₄×C₇₃	C₂³	1	1	yes	characteristic
343	C₂×C₄⋊C₄×C₇₃	C₂³	1	2	yes	—
344	C₂×C₄⋊C₄×C₇₃	C₂³	1	8	yes	complemented
345	C₂×C₂²⋊C₄×C₇₃	C₂³	1	2	yes	—
346	C₂×C₂²⋊C₄×C₇₃	C₂³	1	1	yes	characteristic
347	C₂×C₂²⋊C₄×C₇₃	C₂³	1	2	yes	—
348	C₂×C₂²⋊C₄×C₇₃	C₂³	1	2	yes	—
349	C₂×C₂²⋊C₄×C₇₃	C₂³	1	1	yes	characteristic
350	C₂×C₂²⋊C₄×C₇₃	C₂³	1	2	yes	—
351	C₂×C₄²×C₇₃	C₂³	1	2	yes	—
352	C₂×C₄²×C₇₃	C₂³	1	1	yes	characteristic
353	C₂³×D₇₃	—	2	4	no	—
354	C₂³×D₇₃	—	2	8	no	—
355	C₂³×D₇₃	—	4	2	no	—
356	C₂³×D₇₃	—	4	2	no	—
357	C₂³×D₇₃	—	4	2	no	—
358	C₂³×D₇₃	—	4	2	no	—
359	C₂³×D₇₃	—	4	4	no	—
360	C₂³×D₇₃	—	4	4	no	—
361	C₂³×D₇₃	#41	1	8	yes	complemented
362	C₂³×D₇₃	C₂⁴	1	1	yes	characteristic
363	C₂³×D₇₃	C₂⁴	1	2	yes	—
364	C₂³×D₇₃	C₂⁴	1	1	yes	characteristic
365	C₂³×D₇₃	C₂⁴	1	1	yes	characteristic
366	C₂³×D₇₃	C₂⁴	1	8	yes	—
367	C₂³×D₇₃	C₂⁴	1	4	yes	—
368	C₂³×D₇₃	C₂⁴	1	4	yes	—
369	#11924028	—	4	16	no	—
370	#11924027	—	4	16	no	—
371	C₂×Dic₁₄₆	—	2	4	no	—
372	C₂×Dic₁₄₆	—	2	4	no	—
373	C₂×Dic₁₄₆	—	4	16	no	—
374	C₂×Dic₁₄₆	—	4	4	no	—
375	C₂×Dic₁₄₆	C₂⁴	1	4	yes	—
376	C₂×Dic₁₄₆	C₂⁴	1	4	yes	—
377	C₂×Dic₁₄₆	C₂⁴	1	8	yes	—
378	C₂×D₂₉₂	—	2	4	no	—
379	C₂×D₂₉₂	—	2	8	no	—
380	C₂×D₂₉₂	—	2	4	no	—
381	C₂×D₂₉₂	—	4	4	no	—
382	C₂×D₂₉₂	C₂⁴	1	4	yes	—
383	C₂×D₂₉₂	C₂⁴	1	8	yes	—
384	C₂×D₂₉₂	C₂⁴	1	4	yes	—
385	C₂×D₂₉₂	C₂⁴	1	8	yes	—
386	C₂×C₂²⋊D₇₃	—	2	4	no	—
387	C₂×C₂²⋊D₇₃	—	2	8	no	—
388	C₂×C₂²⋊D₇₃	—	2	4	no	—
389	C₂×C₂²⋊D₇₃	—	2	8	no	—
390	C₂×C₂²⋊D₇₃	—	4	4	no	—
391	C₂×C₂²⋊D₇₃	—	4	4	no	—
392	C₂×C₂²⋊D₇₃	—	4	4	no	—
393	C₂×C₂²⋊D₇₃	C₂⁴	1	4	yes	—
394	C₂×C₂²⋊D₇₃	C₂⁴	1	8	yes	—
395	C₂×C₂²⋊D₇₃	C₂⁴	1	8	yes	—
396	C₂×C₂²⋊D₇₃	C₂⁴	1	4	yes	—
397	C₂×C₂²⋊D₇₃	C₂⁴	1	8	yes	—
398	C₂×C₂²⋊D₇₃	C₂⁴	1	8	yes	—
399	C₂×C₂²⋊D₇₃	C₂⁴	1	8	yes	—
400	D₄×D₇₃	—	2	32	no	—
401	D₄×D₇₃	—	2	64	no	—
402	D₄×D₇₃	—	4	16	no	—
403	C₂²×Dic₇₃	—	4	2	no	—
404	C₂²×Dic₇₃	—	4	2	no	—
405	C₂²×Dic₇₃	—	4	4	no	—
406	C₂²×Dic₇₃	—	4	4	no	—
407	C₂²×Dic₇₃	C₂⁴	1	1	yes	characteristic
408	C₂²×Dic₇₃	C₂⁴	1	1	yes	characteristic
409	C₂²×Dic₇₃	C₂⁴	1	1	yes	characteristic
410	C₂²×Dic₇₃	C₂⁴	1	2	yes	—
411	C₂²×Dic₇₃	C₂⁴	1	1	yes	characteristic
412	C₂²×Dic₇₃	C₂⁴	1	2	yes	—
413	C₂²×Dic₇₃	C₂⁴	1	2	yes	—
414	C₂²×Dic₇₃	C₂⁴	1	1	yes	characteristic
415	C₂²×Dic₇₃	C₂⁴	1	8	yes	—
416	C₂²×Dic₇₃	C₂⁴	1	8	yes	—
417	C₂²×Dic₇₃	C₂⁴	1	4	yes	—
418	C₂²×Dic₇₃	C₂⁴	1	4	yes	—
419	C₂×C₄×D₇₃	—	2	8	no	—
420	C₂×C₄×D₇₃	—	2	4	no	—
421	C₂×C₄×D₇₃	—	2	4	no	—
422	C₂×C₄×D₇₃	—	2	4	no	—
423	C₂×C₄×D₇₃	—	2	4	no	—
424	C₂×C₄×D₇₃	—	4	16	no	—
425	C₂×C₄×D₇₃	—	4	16	no	—
426	C₂×C₄×D₇₃	—	4	2	no	—
427	C₂×C₄×D₇₃	—	4	2	no	—
428	C₂×C₄×D₇₃	—	4	2	no	—
429	C₂×C₄×D₇₃	—	4	2	no	—
430	C₂×C₄×D₇₃	—	4	2	no	—
431	C₂×C₄×D₇₃	—	4	4	no	—
432	C₂×C₄×D₇₃	—	4	4	no	—
433	C₂×C₄×D₇₃	C₂⁴	1	4	yes	—
434	C₂×C₄×D₇₃	C₂⁴	1	4	yes	—
435	C₂×C₄×D₇₃	C₂⁴	1	8	yes	—
436	C₂×C₄×D₇₃	C₂⁴	1	4	yes	—
437	C₂×C₄×D₇₃	C₂⁴	1	4	yes	—
438	C₂×C₄×D₇₃	C₂⁴	1	4	yes	—
439	C₂×C₄×D₇₃	C₂⁴	1	4	yes	—
440	C₂×C₄×D₇₃	C₂⁴	1	4	yes	—
441	C₂×C₄×D₇₃	C₂⁴	1	4	yes	—
442	C₂×C₄×D₇₃	C₂⁴	1	8	yes	—
443	C₂×C₄×D₇₃	C₂⁴	1	8	yes	—
444	C₂×C₄×D₇₃	C₂⁴	1	4	yes	—
445	C₄⋊Dic₇₃	C₂⁴	1	4	yes	—
446	C₄⋊Dic₇₃	C₂⁴	1	4	yes	—
447	C₄⋊Dic₇₃	C₂⁴	1	8	yes	—
448	C₄⋊Dic₇₃	C₂⁴	1	8	yes	—
449	C₄⋊Dic₇₃	C₂⁴	1	8	yes	—
450	C₄⋊Dic₇₃	C₂⁴	1	8	yes	—
451	C₄⋊Dic₇₃	C₂⁴	1	8	yes	—
452	C₄⋊Dic₇₃	C₂⁴	1	8	yes	—
453	#11924007	C₂⁴	1	4	yes	—
454	#11924007	C₂⁴	1	4	yes	—
455	#11924007	C₂⁴	1	8	yes	—
456	#11924007	C₂⁴	1	8	yes	—
457	#11924007	C₂⁴	1	8	yes	—
458	#11924007	C₂⁴	1	8	yes	—
459	#11924007	C₂⁴	1	8	yes	—
460	C₂²⋊Dic₇₃	C₂⁴	1	4	yes	—
461	C₂²⋊Dic₇₃	C₂⁴	1	8	yes	—
462	C₂²⋊Dic₇₃	C₂⁴	1	4	yes	—
463	C₂²⋊Dic₇₃	C₂⁴	1	8	yes	—
464	C₂²⋊Dic₇₃	C₂⁴	1	8	yes	—
465	C₂²⋊Dic₇₃	C₂⁴	1	8	yes	—
466	#11924005	C₂⁴	1	4	yes	—
467	#11924005	C₂⁴	1	4	yes	—
468	#11924005	C₂⁴	1	8	yes	—
469	#11924005	C₂⁴	1	8	yes	—
470	#11924005	C₂⁴	1	4	yes	—
471	#11924005	C₂⁴	1	4	yes	—
472	#11924005	C₂⁴	1	8	yes	—
473	#11924005	C₂⁴	1	8	yes	—
474	#11924005	C₂⁴	1	8	yes	—
475	#11924005	C₂⁴	1	8	yes	—
476	#11924005	C₂⁴	1	8	yes	—
477	#11924005	C₂⁴	1	8	yes	—
478	#11924005	C₂⁴	1	8	yes	—
479	#11924005	C₂⁴	1	8	yes	—
480	#11924005	C₂⁴	1	8	yes	—
481	#11924005	C₂⁴	1	8	yes	—
482	C₄×Dic₇₃	C₂⁴	1	4	yes	—
483	C₄×Dic₇₃	C₂⁴	1	4	yes	—
484	C₄×Dic₇₃	C₂⁴	1	4	yes	—
485	C₄×Dic₇₃	C₂⁴	1	8	yes	—
486	C₄×Dic₇₃	C₂⁴	1	8	yes	—
487	C₄×Dic₇₃	C₂⁴	1	8	yes	—
488	C₂⁴×C₇₃	C₂⁴	1	1	yes	characteristic
489	C₂⁴×C₇₃	C₂⁴	1	2	yes	—
490	C₂⁴×C₇₃	C₂⁴	1	1	yes	characteristic
491	C₂×D₄×C₇₃	—	2	4	no	—
492	C₂×D₄×C₇₃	—	2	8	no	—
493	C₂×D₄×C₇₃	—	2	4	no	—
494	C₂×D₄×C₇₃	—	4	4	no	—
495	C₂×D₄×C₇₃	C₂⁴	1	4	yes	—
496	C₂×D₄×C₇₃	C₂⁴	1	8	yes	—
497	C₂×D₄×C₇₃	C₂⁴	1	4	yes	—
498	C₂×D₄×C₇₃	C₂⁴	1	8	yes	—
499	C₂²×C₄×C₇₃	—	2	4	no	—
500	C₂²×C₄×C₇₃	—	2	4	no	—
501	C₂²×C₄×C₇₃	—	4	4	no	—
502	C₂²×C₄×C₇₃	—	4	4	no	—
503	C₂²×C₄×C₇₃	C₂⁴	1	1	yes	characteristic
504	C₂²×C₄×C₇₃	C₂⁴	1	2	yes	—
505	C₂²×C₄×C₇₃	C₂⁴	1	1	yes	characteristic
506	C₂²×C₄×C₇₃	C₂⁴	1	1	yes	characteristic
507	C₂²×C₄×C₇₃	C₂⁴	1	2	yes	—
508	C₂²×C₄×C₇₃	C₂⁴	1	1	yes	characteristic
509	C₂²×C₄×C₇₃	C₂⁴	1	2	yes	—
510	C₂²×C₄×C₇₃	C₂⁴	1	4	yes	—
511	C₂²×C₄×C₇₃	C₂⁴	1	4	yes	—
512	C₂²×C₄×C₇₃	C₂⁴	1	8	yes	—
513	C₂²×C₄×C₇₃	C₂⁴	1	8	yes	—
514	C₂²×C₄×C₇₃	C₂⁴	1	1	yes	characteristic
515	C₄⋊C₄×C₇₃	C₂⁴	1	4	yes	—
516	C₄⋊C₄×C₇₃	C₂⁴	1	4	yes	—
517	C₄⋊C₄×C₇₃	C₂⁴	1	8	yes	—
518	C₄⋊C₄×C₇₃	C₂⁴	1	4	yes	—
519	C₄⋊C₄×C₇₃	C₂⁴	1	8	yes	—
520	C₄⋊C₄×C₇₃	C₂⁴	1	4	yes	—
521	C₄⋊C₄×C₇₃	C₂⁴	1	8	yes	—
522	C₂²⋊C₄×C₇₃	C₂⁴	1	8	yes	—
523	C₂²⋊C₄×C₇₃	C₂⁴	1	4	yes	—
524	C₂²⋊C₄×C₇₃	C₂⁴	1	8	yes	—
525	C₂²⋊C₄×C₇₃	C₂⁴	1	8	yes	—
526	C₂²⋊C₄×C₇₃	C₂⁴	1	4	yes	—
527	C₂²⋊C₄×C₇₃	C₂⁴	1	8	yes	—
528	C₄²×C₇₃	C₂⁴	1	8	yes	—
529	C₄²×C₇₃	C₂⁴	1	4	yes	—
530	C₂³×C₇₃	—	2	2	no	—
531	C₂³×C₇₃	—	2	2	no	—
532	C₂³×C₇₃	—	2	2	no	—
533	C₂³×C₇₃	—	2	4	no	—
534	C₂³×C₇₃	—	2	2	no	—
535	C₂³×C₇₃	—	2	4	no	—
536	C₂³×C₇₃	—	2	4	no	—
537	C₂³×C₇₃	—	2	2	no	—
538	C₂³×C₇₃	C₂×#41	1	4	yes	—
539	C₂³×C₇₃	C₂⁵	1	2	yes	—
540	C₂³×C₇₃	C₂⁵	1	4	yes	—
541	C₂³×C₇₃	C₂⁵	1	2	yes	—
542	C₂³×C₇₃	C₂⁵	1	1	yes	characteristic
543	C₂²×D₇₃	—	2	2	no	—
544	C₂²×D₇₃	—	2	2	no	—
545	C₂²×D₇₃	—	2	2	no	—
546	C₂²×D₇₃	—	2	2	no	—
547	C₂²×D₇₃	—	2	2	no	—
548	C₂²×D₇₃	—	2	4	no	—
549	C₂²×D₇₃	—	2	2	no	—
550	C₂²×D₇₃	—	2	4	no	—
551	C₂²×D₇₃	—	2	4	no	—
552	C₂²×D₇₃	—	2	2	no	—
553	C₂²×D₇₃	—	2	8	no	—
554	C₂²×D₇₃	—	2	16	no	—
555	C₂²×D₇₃	—	4	4	no	—
556	C₂²×D₇₃	—	4	4	no	—
557	C₂²×D₇₃	—	4	16	no	—
558	C₂²×D₇₃	—	4	4	no	—
559	C₂²×D₇₃	—	4	4	no	—
560	C₂²×D₇₃	—	4	8	no	—
561	C₂²×D₇₃	—	4	8	no	—
562	C₂²×D₇₃	—	4	16	no	—
563	C₂²×D₇₃	—	8	16	no	—
564	C₂²×D₇₃	C₂×#41	1	4	yes	—
565	C₂²×D₇₃	C₂×#41	1	4	yes	—
566	C₂²×D₇₃	C₂×#41	1	16	yes	complemented
567	C₂²×D₇₃	C₂⁵	1	2	yes	—
568	C₂²×D₇₃	C₂⁵	1	4	yes	—
569	C₂²×D₇₃	C₂⁵	1	2	yes	—
570	C₂²×D₇₃	C₂⁵	1	2	yes	—
571	D₄×C₇₃	—	2	8	no	—
572	D₄×C₇₃	—	2	16	no	—
573	D₄×C₇₃	—	2	8	no	—
574	D₄×C₇₃	—	4	8	no	—
575	C₂×C₄×C₇₃	—	2	4	no	—
576	C₂×C₄×C₇₃	—	2	2	no	—
577	C₂×C₄×C₇₃	—	2	2	no	—
578	C₂×C₄×C₇₃	—	2	2	no	—
579	C₂×C₄×C₇₃	—	2	2	no	—
580	C₂×C₄×C₇₃	—	2	4	no	—
581	C₂×C₄×C₇₃	—	2	4	no	—
582	C₂×C₄×C₇₃	—	2	8	no	—
583	C₂×C₄×C₇₃	—	2	8	no	—
584	C₂×C₄×C₇₃	—	4	8	no	—
585	C₂×C₄×C₇₃	—	4	8	no	—
586	C₂×C₄×C₇₃	H(5,𝔽₂)	1	4	yes	—
587	C₂×C₄×C₇₃	C₂⁵	1	2	yes	—
588	C₂×C₄×C₇₃	C₂⁵	1	4	yes	—
589	C₂×C₄×C₇₃	C₂⁵	1	2	yes	—
590	C₂×C₄×C₇₃	C₂⁵	1	2	yes	—
591	C₂×C₄×C₇₃	C₂⁵	1	4	yes	—
592	C₂×C₄×C₇₃	C₂⁵	1	2	yes	—
593	C₂×C₄×C₇₃	C₂⁵	1	4	yes	—
594	C₂×C₄×C₇₃	C₂⁵	1	2	yes	—
595	C₂²⋊D₇₃	—	2	8	no	—
596	C₂²⋊D₇₃	—	2	16	no	—
597	C₂²⋊D₇₃	—	2	8	no	—
598	C₂²⋊D₇₃	—	2	16	no	—
599	C₂²⋊D₇₃	—	4	8	no	—
600	C₂²⋊D₇₃	—	4	8	no	—
601	C₂²⋊D₇₃	—	4	8	no	—
602	C₂×Dic₇₃	—	2	4	no	—
603	C₂×Dic₇₃	—	2	2	no	—
604	C₂×Dic₇₃	—	2	2	no	—
605	C₂×Dic₇₃	—	2	2	no	—
606	C₂×Dic₇₃	—	2	2	no	—
607	C₂×Dic₇₃	—	2	4	no	—
608	C₂×Dic₇₃	—	2	4	no	—
609	C₂×Dic₇₃	—	2	2	no	—
610	C₂×Dic₇₃	—	4	4	no	—
611	C₂×Dic₇₃	—	4	4	no	—
612	C₂×Dic₇₃	—	4	8	no	—
613	C₂×Dic₇₃	—	4	8	no	—
614	C₂×Dic₇₃	C₂⁵	1	2	yes	—
615	C₂×Dic₇₃	C₂⁵	1	2	yes	—
616	C₂×Dic₇₃	C₂⁵	1	2	yes	—
617	C₂×Dic₇₃	C₂⁵	1	4	yes	—
618	C₂×Dic₇₃	C₂⁵	1	2	yes	—
619	C₂×Dic₇₃	C₂⁵	1	4	yes	—
620	C₂×Dic₇₃	C₂⁵	1	4	yes	—
621	C₂×Dic₇₃	C₂⁵	1	2	yes	—
622	D₂₉₂	—	2	8	no	—
623	D₂₉₂	—	2	16	no	—
624	D₂₉₂	—	2	8	no	—
625	D₂₉₂	—	4	8	no	—
626	C₄×D₇₃	—	2	16	no	—
627	C₄×D₇₃	—	2	8	no	—
628	C₄×D₇₃	—	2	8	no	—
629	C₄×D₇₃	—	2	8	no	—
630	C₄×D₇₃	—	2	8	no	—
631	C₄×D₇₃	—	4	4	no	—
632	C₄×D₇₃	—	4	4	no	—
633	C₄×D₇₃	—	4	4	no	—
634	C₄×D₇₃	—	4	4	no	—
635	C₄×D₇₃	—	4	4	no	—
636	C₄×D₇₃	—	4	8	no	—
637	C₄×D₇₃	—	4	8	no	—
638	Dic₁₄₆	—	2	8	no	—
639	Dic₁₄₆	—	2	8	no	—
640	Dic₁₄₆	—	4	8	no	—
641	C₂²×C₇₃	—	2	2	no	—
642	C₂²×C₇₃	—	2	2	no	—
643	C₂²×C₇₃	—	2	8	no	—
644	C₂²×C₇₃	—	2	2	no	—
645	C₂²×C₇₃	—	2	4	no	—
646	C₂²×C₇₃	—	2	2	no	—
647	C₂²×C₇₃	—	2	4	no	—
648	C₂²×C₇₃	—	2	4	no	—
649	C₂²×C₇₃	—	2	2	no	—
650	C₂²×C₇₃	—	4	4	no	—
651	C₂²×C₇₃	—	4	8	no	—
652	C₂²×C₇₃	C₂²×#41	1	4	yes	—
653	C₂²×C₇₃	C₂²×#41	1	2	yes	—
654	C₂²×C₇₃	C₂×H(5,𝔽₂)	1	2	yes	—
655	C₂²×C₇₃	#585	1	2	yes	—
656	C₂²×C₇₃	C₂⁶	1	1	yes	characteristic
657	C₂×D₇₃	—	2	2	no	—
658	C₂×D₇₃	—	2	2	no	—
659	C₂×D₇₃	—	2	2	no	—
660	C₂×D₇₃	—	2	2	no	—
661	C₂×D₇₃	—	2	8	no	—
662	C₂×D₇₃	—	2	8	no	—
663	C₂×D₇₃	—	2	2	no	—
664	C₂×D₇₃	—	2	4	no	—
665	C₂×D₇₃	—	2	2	no	—
666	C₂×D₇₃	—	2	4	no	—
667	C₂×D₇₃	—	2	4	no	—
668	C₂×D₇₃	—	2	2	no	—
669	C₂×D₇₃	—	4	16	no	—
670	C₂×D₇₃	—	4	16	no	—
671	C₂×D₇₃	—	4	4	no	—
672	C₂×D₇₃	—	4	8	no	—
673	C₂×D₇₃	—	8	16	no	—
674	C₂×D₇₃	C₂²×#41	1	4	yes	—
675	C₂×D₇₃	C₂²×#41	1	4	yes	—
676	C₄×C₇₃	—	2	4	no	—
677	C₄×C₇₃	—	2	2	no	—
678	C₄×C₇₃	—	2	2	no	—
679	C₄×C₇₃	—	2	2	no	—
680	C₄×C₇₃	—	2	2	no	—
681	C₄×C₇₃	—	2	4	no	—
682	C₄×C₇₃	—	2	4	no	—
683	C₄×C₇₃	C₂×H(5,𝔽₂)	1	4	yes	—
684	Dic₇₃	—	2	4	no	—
685	Dic₇₃	—	2	2	no	—
686	Dic₇₃	—	2	4	no	—
687	Dic₇₃	—	2	4	no	—
688	Dic₇₃	—	2	2	no	—
689	Dic₇₃	—	2	2	no	—
690	Dic₇₃	—	2	2	no	—
691	Dic₇₃	—	2	2	no	—
692	C₂×#3505	—	73	1	no	maximal, Sylow
693	C₂×C₇₃	—	2	4	no	—
694	C₂×C₇₃	—	4	2	no	—
695	C₂×C₇₃	—	4	4	no	—
696	C₂×C₇₃	#3505	1	4	yes	complemented
697	C₂×C₇₃	C₂³×#41	1	1	yes	characteristic
698	C₂×C₇₃	C₂²×H(5,𝔽₂)	1	1	yes	characteristic
699	C₂×C₇₃	C₂×#585	1	1	yes	characteristic
700	D₇₃	—	2	4	no	—
701	D₇₃	—	2	4	no	—
702	D₇₃	—	4	2	no	—
703	D₇₃	—	4	4	no	—
704	#3505	—	73	32	no	—
705	C₂×#553	—	73	2	no	—
706	C₂×#553	—	73	2	no	—
707	C₂×#553	—	73	1	no	—
708	C₂×#553	D₇₃	1	1	yes	characteristic, complemented
709	C₂×#552	—	73	1	no	—
710	C₂×#552	—	73	1	no	—
711	C₂×#551	—	73	2	no	—
712	C₂×#551	—	73	2	no	—
713	C₂×#548	—	73	1	no	—
714	C₂×#548	—	73	1	no	—
715	C₂×#546	—	73	1	no	—
716	C₂×#546	—	73	1	no	—
717	C₂×#539	—	73	2	no	—
718	C₂×#538	—	73	2	no	—
719	C₂×#534	—	73	2	no	—
720	C₂×#529	—	73	1	no	—
721	C₂×#529	—	73	1	no	—
722	C₂×#525	—	73	1	no	—
723	C₂×#525	—	73	1	no	—
724	C₂²×C₂²⋊Q₈	—	73	1	no	—
725	C₂²×#121	—	73	1	no	—
726	C₂×#518	—	73	2	no	—
727	C₂²×C₄×D₄	—	73	1	no	—
728	C₇₃	C₂×#3505	1	1	yes	characteristic, complemented, Sylow
729	C₂²×#41	—	73	1	no	—
730	C₂²×#41	—	73	1	no	—
731	C₂³×Q₈	—	73	1	no	—
732	C₂³×D₄	—	73	1	no	—
733	C₂³×D₄	—	73	1	no	—
734	C₂³×D₄	—	73	2	no	—
735	C₂⁴×C₄	—	73	1	no	—
736	C₂⁴×C₄	—	73	1	no	—
737	#553	—	73	32	no	—
738	#553	—	73	32	no	—
739	#553	—	73	16	no	—
740	#553	C₂×D₇₃	1	16	yes	complemented
741	#552	—	73	16	no	—
742	#552	—	73	16	no	—
743	#551	—	73	32	no	—
744	#551	—	73	32	no	—
745	#548	—	73	16	no	—
746	#548	—	73	16	no	—
747	#546	—	73	16	no	—
748	#546	—	73	16	no	—
749	#539	—	73	32	no	—
750	#538	—	73	32	no	—
751	#534	—	73	32	no	—
752	#529	—	73	16	no	—
753	#529	—	73	16	no	—
754	C₂×#126	—	73	2	no	—
755	C₂×#126	—	73	2	no	—
756	C₂×#126	—	73	2	no	—
757	C₂×#126	—	73	2	no	—
758	C₂×#126	—	73	2	no	—
759	C₂×#126	C₂×D₇₃	1	2	yes	complemented
760	C₂×#125	—	73	1	no	—
761	C₂×#125	—	73	2	no	—
762	C₂×#125	—	73	2	no	—
763	C₂×#125	C₂×D₇₃	1	1	yes	characteristic, complemented
764	C₂×#124	—	73	1	no	—
765	C₂×#124	—	73	2	no	—
766	C₂×#124	—	73	2	no	—
767	C₂×#124	—	73	1	no	—
768	#525	—	73	16	no	—
769	#525	—	73	16	no	—
770	C₂×#123	—	73	2	no	—
771	C₂×#123	—	73	2	no	—
772	C₂×#123	—	73	2	no	—
773	C₂×#123	—	73	2	no	—
774	C₂×#123	—	73	2	no	—
775	C₂×#123	—	73	2	no	—
776	C₂×#123	—	73	2	no	—
777	C₂×#123	—	73	2	no	—
778	C₂×#123	—	73	2	no	—
779	C₂×#123	C₂×D₇₃	1	2	yes	complemented
780	C₂×C₂²⋊Q₈	—	73	1	no	—
781	C₂×C₂²⋊Q₈	—	73	1	no	—
782	C₂×C₂²⋊Q₈	—	73	1	no	—
783	C₂×C₂²⋊Q₈	—	73	2	no	—
784	C₂×C₂²⋊Q₈	—	73	1	no	—
785	C₂×C₂²⋊Q₈	—	73	1	no	—
786	C₂×C₂²⋊Q₈	—	73	2	no	—
787	C₂×C₂²⋊Q₈	—	73	1	no	—
788	C₂×C₂²⋊Q₈	—	73	2	no	—
789	C₂×C₂²⋊Q₈	—	73	16	no	—
790	C₂×C₂²⋊Q₈	—	73	2	no	—
791	C₂×#121	—	73	1	no	—
792	C₂×#121	—	73	2	no	—
793	C₂×#121	—	73	2	no	—
794	C₂×#121	—	73	2	no	—
795	C₂×#121	—	73	2	no	—
796	C₂×#121	—	73	1	no	—
797	C₂×#121	—	73	2	no	—
798	C₂×#121	—	73	2	no	—
799	C₂×#121	—	73	16	no	—
800	C₂×#121	—	73	1	no	—
801	C₂×#121	—	73	1	no	—
802	C₂×#121	—	73	2	no	—
803	C₂×#121	C₂×D₇₃	1	1	yes	characteristic, complemented
804	C₂×#121	C₂×D₇₃	1	1	yes	characteristic, complemented
805	C₂×#121	C₂×D₇₃	1	2	yes	complemented
806	C₂×#120	—	73	2	no	—
807	C₂×#120	—	73	2	no	—
808	C₂×#120	—	73	2	no	—
809	C₂×#120	—	73	2	no	—
810	#518	—	73	32	no	—
811	C₂×C₄×Q₈	—	73	1	no	—
812	C₂×C₄×Q₈	—	73	1	no	—
813	C₂×C₄×D₄	—	73	1	no	—
814	C₂×C₄×D₄	—	73	2	no	—
815	C₂×C₄×D₄	—	73	2	no	—
816	C₂×C₄×D₄	—	73	1	no	—
817	C₂×C₄×D₄	—	73	1	no	—
818	C₂×C₄×D₄	—	73	2	no	—
819	C₂×C₄×D₄	—	73	2	no	—
820	C₂×C₄×D₄	—	73	16	no	—
821	C₂×C₄×D₄	—	73	1	no	—
822	C₂×C₄×D₄	—	73	2	no	—
823	C₂×C₄×D₄	—	73	1	no	—
824	C₂×C₄×D₄	—	73	1	no	—
825	C₂×C₄×D₄	—	73	1	no	—
826	C₂×C₄×D₄	—	73	2	no	—
827	C₂×C₄×D₄	—	73	2	no	—
828	C₂×C₄×D₄	—	73	1	no	—
829	C₂×C₄×D₄	—	73	2	no	—
830	C₂×C₄×D₄	—	73	2	no	—
831	C₂×C₄×D₄	C₂×D₇₃	1	1	yes	characteristic, complemented
832	C₂×C₄×D₄	C₂×D₇₃	1	2	yes	complemented
833	C₂×C₄×D₄	C₂×D₇₃	1	1	yes	characteristic, complemented
834	C₂×#117	—	73	2	no	—
835	C₂×#117	—	73	2	no	—
836	C₂×#117	—	73	1	no	—
837	C₂×#117	—	73	2	no	—
838	C₂×#117	—	73	2	no	—
839	C₂×#117	C₂×D₇₃	1	1	yes	characteristic, complemented
840	C₂²×C₄⋊C₄	—	73	2	no	—
841	C₂²×C₄⋊C₄	—	73	1	no	—
842	C₂²×C₄⋊C₄	—	73	1	no	—
843	C₂²×C₄⋊C₄	C₂×D₇₃	1	1	yes	characteristic, complemented
844	C₂²×C₂²⋊C₄	—	73	2	no	—
845	C₂²×C₂²⋊C₄	—	73	2	no	—
846	C₂²×C₂²⋊C₄	—	73	1	no	—
847	C₂²×C₂²⋊C₄	—	73	1	no	—
848	C₂²×C₂²⋊C₄	—	73	2	no	—
849	C₂²×C₂²⋊C₄	—	73	2	no	—
850	C₂²×C₄²	—	73	1	no	—
851	C₂⁵	—	73	1	no	—
852	C₂⁵	—	73	2	no	—
853	C₂⁵	—	73	1	no	—
854	C₂×#41	—	292	4	no	—
855	C₂×#41	—	292	4	no	—
856	C₂×#41	—	73	8	no	—
857	C₂×#41	—	73	8	no	—
858	C₂²×Q₈	—	292	4	no	—
859	C₂²×Q₈	—	73	2	no	—
860	C₂²×Q₈	—	73	8	no	—
861	C₂²×Q₈	—	73	1	no	—
862	C₂²×Q₈	—	73	1	no	—
863	C₂²×D₄	—	292	4	no	—
864	C₂²×D₄	—	73	2	no	—
865	C₂²×D₄	—	73	2	no	—
866	C₂²×D₄	—	73	2	no	—
867	C₂²×D₄	—	73	8	no	—
868	C₂²×D₄	—	73	1	no	—
869	C₂²×D₄	—	73	2	no	—
870	C₂²×D₄	—	73	1	no	—
871	C₂²×D₄	—	73	2	no	—
872	C₂²×D₄	—	73	8	no	—
873	C₂²×D₄	—	73	16	no	—
874	C₂²×D₄	—	73	2	no	—
875	C₂²×D₄	—	73	1	no	—
876	C₂²×D₄	—	73	2	no	—
877	C₂²×D₄	—	73	1	no	—
878	C₂²×D₄	—	146	8	no	—
879	C₂²×D₄	—	146	16	no	—
880	C₂²×D₄	C₂²×D₇₃	1	1	yes	characteristic
881	C₂²×D₄	C₂²×D₇₃	1	2	yes	—
882	C₂²×D₄	C₂²×D₇₃	1	1	yes	characteristic
883	C₂²×D₄	C₂²×D₇₃	1	2	yes	—
884	C₂³×C₄	—	292	4	no	—
885	C₂³×C₄	—	292	4	no	—
886	C₂³×C₄	—	73	2	no	—
887	C₂³×C₄	—	73	2	no	—
888	C₂³×C₄	—	73	1	no	—
889	C₂³×C₄	—	73	1	no	—
890	C₂³×C₄	—	73	1	no	—
891	C₂³×C₄	—	73	1	no	—
892	C₂³×C₄	—	73	1	no	—
893	C₂³×C₄	—	73	1	no	—
894	C₂³×C₄	—	73	2	no	—
895	C₂³×C₄	—	73	2	no	—
896	C₂³×C₄	—	73	1	no	—
897	C₂³×C₄	—	73	8	no	—
898	C₂³×C₄	—	73	8	no	—
899	C₂³×C₄	—	73	2	no	—
900	C₂³×C₄	—	73	1	no	—
901	C₂³×C₄	—	73	1	no	—
902	C₂³×C₄	—	73	1	no	—
903	C₂³×C₄	—	73	1	no	—
904	C₂³×C₄	C₂²×D₇₃	1	1	yes	characteristic
905	C₂³×C₄	C₂²×D₇₃	1	1	yes	characteristic
906	C₂³×C₄	C₂²×D₇₃	1	2	yes	—
907	C₂³×C₄	C₂²×D₇₃	1	2	yes	—
908	#126	—	73	16	no	—
909	#126	—	73	16	no	—
910	#126	—	73	16	no	—
911	#126	—	73	16	no	—
912	#126	—	73	16	no	—
913	#126	C₂²×D₇₃	1	16	yes	complemented
914	#125	—	73	8	no	—
915	#125	—	73	16	no	—
916	#125	—	73	16	no	—
917	#125	C₂²×D₇₃	1	8	yes	complemented
918	#124	—	73	8	no	—
919	#124	—	73	16	no	—
920	#124	—	73	16	no	—
921	#124	—	73	8	no	—
922	#123	—	73	16	no	—
923	#123	—	73	16	no	—
924	#123	—	73	16	no	—
925	#123	—	73	16	no	—
926	#123	—	73	16	no	—
927	#123	—	73	16	no	—
928	#123	—	73	16	no	—
929	#123	—	73	16	no	—
930	#123	—	73	16	no	—
931	#123	C₂²×D₇₃	1	16	yes	complemented
932	C₂²⋊Q₈	—	73	8	no	—
933	C₂²⋊Q₈	—	73	8	no	—
934	C₂²⋊Q₈	—	73	8	no	—
935	C₂²⋊Q₈	—	73	16	no	—
936	C₂²⋊Q₈	—	73	8	no	—
937	C₂²⋊Q₈	—	73	8	no	—
938	C₂²⋊Q₈	—	73	16	no	—
939	C₂²⋊Q₈	—	73	8	no	—
940	C₂²⋊Q₈	—	73	16	no	—
941	C₂²⋊Q₈	—	73	16	no	—
942	#121	—	73	8	no	—
943	#121	—	73	16	no	—
944	#121	—	73	16	no	—
945	#121	—	73	16	no	—
946	#121	—	73	16	no	—
947	#121	—	73	8	no	—
948	#121	—	73	16	no	—
949	#121	—	73	16	no	—
950	#121	—	73	8	no	—
951	#121	—	73	8	no	—
952	#121	—	73	16	no	—
953	#121	C₂²×D₇₃	1	8	yes	complemented
954	#121	C₂²×D₇₃	1	8	yes	complemented
955	#121	C₂²×D₇₃	1	16	yes	complemented
956	#120	—	73	16	no	—
957	#120	—	73	16	no	—
958	#120	—	73	16	no	—
959	#120	—	73	16	no	—
960	C₄×Q₈	—	73	8	no	—
961	C₄×Q₈	—	73	8	no	—
962	C₄×D₄	—	73	8	no	—
963	C₄×D₄	—	73	16	no	—
964	C₄×D₄	—	73	16	no	—
965	C₄×D₄	—	73	8	no	—
966	C₄×D₄	—	73	8	no	—
967	C₄×D₄	—	73	16	no	—
968	C₄×D₄	—	73	16	no	—
969	C₄×D₄	—	73	8	no	—
970	C₄×D₄	—	73	16	no	—
971	C₄×D₄	—	73	8	no	—
972	C₄×D₄	—	73	8	no	—
973	C₄×D₄	—	73	8	no	—
974	C₄×D₄	—	73	16	no	—
975	C₄×D₄	—	73	16	no	—
976	C₄×D₄	—	73	8	no	—
977	C₄×D₄	—	73	16	no	—
978	C₄×D₄	—	73	16	no	—
979	C₄×D₄	C₂²×D₇₃	1	8	yes	complemented
980	C₄×D₄	C₂²×D₇₃	1	16	yes	complemented
981	C₄×D₄	C₂²×D₇₃	1	8	yes	complemented
982	#117	—	73	16	no	—
983	#117	—	73	16	no	—
984	#117	—	73	8	no	—
985	#117	—	73	16	no	—
986	#117	—	73	16	no	—
987	#117	C₂²×D₇₃	1	8	yes	complemented
988	C₂×C₄⋊C₄	—	73	2	no	—
989	C₂×C₄⋊C₄	—	73	2	no	—
990	C₂×C₄⋊C₄	—	73	1	no	—
991	C₂×C₄⋊C₄	—	73	1	no	—
992	C₂×C₄⋊C₄	—	73	1	no	—
993	C₂×C₄⋊C₄	—	73	1	no	—
994	C₂×C₄⋊C₄	—	73	2	no	—
995	C₂×C₄⋊C₄	—	73	2	no	—
996	C₂×C₄⋊C₄	—	73	2	no	—
997	C₂×C₄⋊C₄	—	73	16	no	—
998	C₂×C₄⋊C₄	—	73	2	no	—
999	C₂×C₄⋊C₄	—	73	2	no	—
1000	C₂×C₄⋊C₄	—	73	2	no	—
1001	C₂×C₄⋊C₄	—	73	2	no	—
1002	C₂×C₄⋊C₄	—	73	2	no	—
1003	C₂×C₄⋊C₄	—	73	2	no	—
1004	C₂×C₄⋊C₄	—	73	8	no	—
1005	C₂×C₄⋊C₄	—	73	8	no	—
1006	C₂×C₄⋊C₄	C₂²×D₇₃	1	1	yes	characteristic
1007	C₂×C₄⋊C₄	C₂²×D₇₃	1	1	yes	characteristic
1008	C₂×C₄⋊C₄	C₂²×D₇₃	1	1	yes	characteristic
1009	C₂×C₄⋊C₄	C₂²×D₇₃	1	1	yes	characteristic
1010	C₂×C₄⋊C₄	C₂²×D₇₃	1	2	yes	—
1011	C₂×C₄⋊C₄	C₂²×D₇₃	1	2	yes	—
1012	C₂×C₄⋊C₄	C₂²×D₇₃	1	2	yes	—
1013	C₂×C₄⋊C₄	C₂²×D₇₃	1	8	yes	complemented
1014	C₂×C₂²⋊C₄	—	73	2	no	—
1015	C₂×C₂²⋊C₄	—	73	1	no	—
1016	C₂×C₂²⋊C₄	—	73	1	no	—
1017	C₂×C₂²⋊C₄	—	73	2	no	—
1018	C₂×C₂²⋊C₄	—	73	2	no	—
1019	C₂×C₂²⋊C₄	—	73	2	no	—
1020	C₂×C₂²⋊C₄	—	73	1	no	—
1021	C₂×C₂²⋊C₄	—	73	1	no	—
1022	C₂×C₂²⋊C₄	—	73	2	no	—
1023	C₂×C₂²⋊C₄	—	73	2	no	—
1024	C₂×C₂²⋊C₄	—	73	2	no	—
1025	C₂×C₂²⋊C₄	—	73	2	no	—
1026	C₂×C₂²⋊C₄	—	73	2	no	—
1027	C₂×C₂²⋊C₄	—	73	1	no	—
1028	C₂×C₂²⋊C₄	—	73	2	no	—
1029	C₂×C₂²⋊C₄	—	73	2	no	—
1030	C₂×C₂²⋊C₄	—	73	1	no	—
1031	C₂×C₂²⋊C₄	—	73	16	no	—
1032	C₂×C₂²⋊C₄	—	73	16	no	—
1033	C₂×C₂²⋊C₄	—	73	2	no	—
1034	C₂×C₂²⋊C₄	—	73	2	no	—
1035	C₂×C₂²⋊C₄	—	73	2	no	—
1036	C₂×C₂²⋊C₄	—	73	2	no	—
1037	C₂×C₂²⋊C₄	—	73	2	no	—
1038	C₂×C₂²⋊C₄	—	73	8	no	—
1039	C₂×C₂²⋊C₄	—	73	8	no	—
1040	C₂×C₂²⋊C₄	—	73	16	no	—
1041	C₂×C₂²⋊C₄	—	73	16	no	—
1042	C₂×C₂²⋊C₄	C₂²×D₇₃	1	1	yes	characteristic
1043	C₂×C₂²⋊C₄	C₂²×D₇₃	1	2	yes	—
1044	C₂×C₂²⋊C₄	C₂²×D₇₃	1	1	yes	characteristic
1045	C₂×C₂²⋊C₄	C₂²×D₇₃	1	2	yes	—
1046	C₂×C₂²⋊C₄	C₂²×D₇₃	1	2	yes	—
1047	C₂×C₂²⋊C₄	C₂²×D₇₃	1	2	yes	—
1048	C₂×C₄²	—	73	2	no	—
1049	C₂×C₄²	—	73	2	no	—
1050	C₂×C₄²	—	73	2	no	—
1051	C₂×C₄²	—	73	1	no	—
1052	C₂×C₄²	—	73	1	no	—
1053	C₂×C₄²	—	73	1	no	—
1054	C₂×C₄²	—	73	8	no	—
1055	C₂×C₄²	C₂²×D₇₃	1	2	yes	—
1056	C₂×C₄²	C₂²×D₇₃	1	1	yes	characteristic
1057	C₂⁴	—	292	2	no	—
1058	C₂⁴	—	292	2	no	—
1059	C₂⁴	—	292	2	no	—
1060	C₂⁴	—	292	2	no	—
1061	C₂⁴	—	292	4	no	—
1062	C₂⁴	—	292	4	no	—
1063	C₂⁴	—	73	8	no	—
1064	C₂⁴	—	73	4	no	—
1065	C₂⁴	—	73	8	no	—
1066	C₂⁴	—	73	4	no	—
1067	C₂⁴	—	73	1	no	—
1068	C₂⁴	—	73	1	no	—
1069	C₂⁴	—	73	1	no	—
1070	C₂⁴	—	73	2	no	—
1071	C₂⁴	—	146	4	no	—
1072	C₂⁴	—	146	8	no	—
1073	C₂⁴	C₂³×D₇₃	1	1	yes	characteristic
1074	C₂⁴	C₂³×D₇₃	1	2	yes	—
1075	C₂⁴	C₂³×D₇₃	1	1	yes	characteristic
1076	#41	—	292	16	no	—
1077	#41	—	292	16	no	—
1078	C₂×Q₈	—	292	16	no	—
1079	C₂×Q₈	—	292	4	no	—
1080	C₂×Q₈	—	73	8	no	—
1081	C₂×Q₈	—	73	4	no	—
1082	C₂×Q₈	—	73	4	no	—
1083	C₂×Q₈	—	146	4	no	—
1084	C₂×Q₈	—	146	4	no	—
1085	C₂×D₄	—	2	4	no	—
1086	C₂×D₄	—	2	8	no	—
1087	C₂×D₄	—	2	4	no	—
1088	C₂×D₄	—	4	4	no	—
1089	C₂×D₄	—	292	4	no	—
1090	C₂×D₄	—	292	16	no	—
1091	C₂×D₄	—	292	4	no	—
1092	C₂×D₄	—	292	4	no	—
1093	C₂×D₄	—	292	4	no	—
1094	C₂×D₄	—	73	8	no	—
1095	C₂×D₄	—	73	8	no	—
1096	C₂×D₄	—	73	8	no	—
1097	C₂×D₄	—	73	4	no	—
1098	C₂×D₄	—	73	8	no	—
1099	C₂×D₄	—	73	4	no	—
1100	C₂×D₄	—	73	8	no	—
1101	C₂×D₄	—	73	8	no	—
1102	C₂×D₄	—	73	4	no	—
1103	C₂×D₄	—	73	8	no	—
1104	C₂×D₄	—	73	4	no	—
1105	C₂×D₄	—	146	4	no	—
1106	C₂×D₄	—	146	8	no	—
1107	C₂×D₄	—	146	32	no	—
1108	C₂×D₄	—	146	64	no	—
1109	C₂×D₄	—	146	4	no	—
1110	C₂×D₄	—	146	8	no	—
1111	C₂×D₄	—	146	4	no	—
1112	C₂×D₄	—	146	8	no	—
1113	C₂×D₄	—	146	4	no	—
1114	C₂×D₄	C₂³×D₇₃	1	4	yes	—
1115	C₂×D₄	C₂³×D₇₃	1	8	yes	—
1116	C₂×D₄	C₂³×D₇₃	1	4	yes	—
1117	C₂×D₄	C₂³×D₇₃	1	8	yes	—
1118	C₂²×C₄	—	2	4	no	—
1119	C₂²×C₄	—	2	4	no	—
1120	C₂²×C₄	—	4	4	no	—
1121	C₂²×C₄	—	4	4	no	—
1122	C₂²×C₄	—	292	2	no	—
1123	C₂²×C₄	—	292	2	no	—
1124	C₂²×C₄	—	292	2	no	—
1125	C₂²×C₄	—	292	2	no	—
1126	C₂²×C₄	—	292	2	no	—
1127	C₂²×C₄	—	292	4	no	—
1128	C₂²×C₄	—	292	4	no	—
1129	C₂²×C₄	—	292	16	no	—
1130	C₂²×C₄	—	292	16	no	—
1131	C₂²×C₄	—	292	2	no	—
1132	C₂²×C₄	—	292	2	no	—
1133	C₂²×C₄	—	292	4	no	—
1134	C₂²×C₄	—	292	4	no	—
1135	C₂²×C₄	—	73	8	no	—
1136	C₂²×C₄	—	73	8	no	—
1137	C₂²×C₄	—	73	4	no	—
1138	C₂²×C₄	—	73	4	no	—
1139	C₂²×C₄	—	73	4	no	—
1140	C₂²×C₄	—	73	4	no	—
1141	C₂²×C₄	—	73	4	no	—
1142	C₂²×C₄	—	73	4	no	—
1143	C₂²×C₄	—	73	8	no	—
1144	C₂²×C₄	—	73	8	no	—
1145	C₂²×C₄	—	73	4	no	—
1146	C₂²×C₄	—	73	1	no	—
1147	C₂²×C₄	—	73	2	no	—
1148	C₂²×C₄	—	73	1	no	—
1149	C₂²×C₄	—	73	1	no	—
1150	C₂²×C₄	—	73	1	no	—
1151	C₂²×C₄	—	73	2	no	—
1152	C₂²×C₄	—	73	2	no	—
1153	C₂²×C₄	—	73	1	no	—
1154	C₂²×C₄	—	73	4	no	—
1155	C₂²×C₄	—	73	4	no	—
1156	C₂²×C₄	—	73	8	no	—
1157	C₂²×C₄	—	73	4	no	—
1158	C₂²×C₄	—	73	4	no	—
1159	C₂²×C₄	—	146	8	no	—
1160	C₂²×C₄	—	146	4	no	—
1161	C₂²×C₄	—	146	4	no	—
1162	C₂²×C₄	—	146	4	no	—
1163	C₂²×C₄	—	146	4	no	—
1164	C₂²×C₄	C₂³×D₇₃	1	4	yes	—
1165	C₂²×C₄	C₂³×D₇₃	1	4	yes	—
1166	C₂²×C₄	C₂³×D₇₃	1	1	yes	characteristic
1167	C₂²×C₄	C₂³×D₇₃	1	2	yes	—
1168	C₂²×C₄	C₂³×D₇₃	1	1	yes	characteristic
1169	C₂²×C₄	C₂³×D₇₃	1	2	yes	—
1170	C₂²×C₄	C₂³×D₇₃	1	1	yes	characteristic
1171	C₂²×C₄	C₂³×D₇₃	1	2	yes	—
1172	C₂²×C₄	C₂³×D₇₃	1	1	yes	characteristic
1173	C₂²×C₄	C₂³×D₇₃	1	8	yes	—
1174	C₂²×C₄	C₂³×D₇₃	1	8	yes	—
1175	C₂²×C₄	C₂³×D₇₃	1	1	yes	characteristic
1176	C₄⋊C₄	—	73	4	no	—
1177	C₄⋊C₄	—	73	4	no	—
1178	C₄⋊C₄	—	73	8	no	—
1179	C₄⋊C₄	—	73	8	no	—
1180	C₄⋊C₄	—	73	8	no	—
1181	C₄⋊C₄	—	73	8	no	—
1182	C₄⋊C₄	—	73	8	no	—
1183	C₄⋊C₄	—	73	8	no	—
1184	C₄⋊C₄	—	73	8	no	—
1185	C₄⋊C₄	—	73	4	no	—
1186	C₄⋊C₄	—	73	4	no	—
1187	C₄⋊C₄	—	73	8	no	—
1188	C₄⋊C₄	—	73	8	no	—
1189	C₄⋊C₄	—	73	8	no	—
1190	C₄⋊C₄	—	73	8	no	—
1191	C₄⋊C₄	C₂³×D₇₃	1	4	yes	—
1192	C₄⋊C₄	C₂³×D₇₃	1	4	yes	—
1193	C₄⋊C₄	C₂³×D₇₃	1	4	yes	—
1194	C₄⋊C₄	C₂³×D₇₃	1	4	yes	—
1195	C₄⋊C₄	C₂³×D₇₃	1	8	yes	—
1196	C₄⋊C₄	C₂³×D₇₃	1	8	yes	—
1197	C₄⋊C₄	C₂³×D₇₃	1	8	yes	—
1198	C₂²⋊C₄	—	73	8	no	—
1199	C₂²⋊C₄	—	73	4	no	—
1200	C₂²⋊C₄	—	73	4	no	—
1201	C₂²⋊C₄	—	73	8	no	—
1202	C₂²⋊C₄	—	73	8	no	—
1203	C₂²⋊C₄	—	73	8	no	—
1204	C₂²⋊C₄	—	73	4	no	—
1205	C₂²⋊C₄	—	73	4	no	—
1206	C₂²⋊C₄	—	73	8	no	—
1207	C₂²⋊C₄	—	73	8	no	—
1208	C₂²⋊C₄	—	73	8	no	—
1209	C₂²⋊C₄	—	73	8	no	—
1210	C₂²⋊C₄	—	73	8	no	—
1211	C₂²⋊C₄	—	73	4	no	—
1212	C₂²⋊C₄	—	73	8	no	—
1213	C₂²⋊C₄	—	73	8	no	—
1214	C₂²⋊C₄	—	73	4	no	—
1215	C₂²⋊C₄	—	73	8	no	—
1216	C₂²⋊C₄	—	73	8	no	—
1217	C₂²⋊C₄	—	73	8	no	—
1218	C₂²⋊C₄	—	73	8	no	—
1219	C₂²⋊C₄	—	73	8	no	—
1220	C₂²⋊C₄	C₂³×D₇₃	1	4	yes	—
1221	C₂²⋊C₄	C₂³×D₇₃	1	8	yes	—
1222	C₂²⋊C₄	C₂³×D₇₃	1	4	yes	—
1223	C₂²⋊C₄	C₂³×D₇₃	1	8	yes	—
1224	C₂²⋊C₄	C₂³×D₇₃	1	8	yes	—
1225	C₂²⋊C₄	C₂³×D₇₃	1	8	yes	—
1226	C₄²	—	73	4	no	—
1227	C₄²	—	73	4	no	—
1228	C₄²	—	73	4	no	—
1229	C₄²	—	73	8	no	—
1230	C₄²	—	73	8	no	—
1231	C₄²	—	73	8	no	—
1232	C₄²	C₂³×D₇₃	1	4	yes	—
1233	C₄²	C₂³×D₇₃	1	8	yes	—
1234	C₂³	—	2	2	no	—
1235	C₂³	—	2	2	no	—
1236	C₂³	—	2	2	no	—
1237	C₂³	—	2	4	no	—
1238	C₂³	—	2	2	no	—
1239	C₂³	—	2	4	no	—
1240	C₂³	—	2	4	no	—
1241	C₂³	—	2	2	no	—
1242	C₂³	—	292	4	no	—
1243	C₂³	—	292	4	no	—
1244	C₂³	—	292	16	no	—
1245	C₂³	—	292	4	no	—
1246	C₂³	—	292	4	no	—
1247	C₂³	—	292	8	no	—
1248	C₂³	—	292	8	no	—
1249	C₂³	—	292	16	no	—
1250	C₂³	—	584	16	no	—
1251	C₂³	—	73	16	no	—
1252	C₂³	—	73	4	no	—
1253	C₂³	—	73	4	no	—
1254	C₂³	—	73	2	no	—
1255	C₂³	—	73	2	no	—
1256	C₂³	—	73	2	no	—
1257	C₂³	—	73	4	no	—
1258	C₂³	—	146	8	no	—
1259	C₂³	—	146	16	no	—
1260	C₂³	—	146	2	no	—
1261	C₂³	—	146	4	no	—
1262	C₂³	—	146	2	no	—
1263	C₂³	—	146	4	no	—
1264	C₂³	—	146	4	no	—
1265	C₂³	—	146	2	no	—
1266	C₂³	—	146	2	no	—
1267	C₂³	—	146	2	no	—
1268	C₂³	—	146	2	no	—
1269	C₂³	—	146	2	no	—
1270	C₂³	#41×D₇₃	1	4	yes	—
1271	C₂³	C₂⁴×D₇₃	1	2	yes	—
1272	C₂³	C₂⁴×D₇₃	1	4	yes	—
1273	C₂³	C₂⁴×D₇₃	1	2	yes	—
1274	C₂³	C₂⁴×D₇₃	1	1	yes	characteristic
1275	Q₈	—	292	8	no	—
1276	Q₈	—	146	8	no	—
1277	Q₈	—	146	8	no	—
1278	D₄	—	2	8	no	—
1279	D₄	—	2	16	no	—
1280	D₄	—	2	8	no	—
1281	D₄	—	4	8	no	—
1282	D₄	—	292	8	no	—
1283	D₄	—	292	8	no	—
1284	D₄	—	292	8	no	—
1285	D₄	—	292	8	no	—
1286	D₄	—	146	8	no	—
1287	D₄	—	146	16	no	—
1288	D₄	—	146	8	no	—
1289	D₄	—	146	16	no	—
1290	D₄	—	146	8	no	—
1291	D₄	—	146	16	no	—
1292	D₄	—	146	8	no	—
1293	C₂×C₄	—	2	4	no	—
1294	C₂×C₄	—	2	2	no	—
1295	C₂×C₄	—	2	2	no	—
1296	C₂×C₄	—	2	2	no	—
1297	C₂×C₄	—	2	2	no	—
1298	C₂×C₄	—	2	4	no	—
1299	C₂×C₄	—	2	4	no	—
1300	C₂×C₄	—	2	8	no	—
1301	C₂×C₄	—	2	8	no	—
1302	C₂×C₄	—	4	8	no	—
1303	C₂×C₄	—	4	8	no	—
1304	C₂×C₄	—	292	4	no	—
1305	C₂×C₄	—	292	4	no	—
1306	C₂×C₄	—	292	4	no	—
1307	C₂×C₄	—	292	4	no	—
1308	C₂×C₄	—	292	8	no	—
1309	C₂×C₄	—	292	4	no	—
1310	C₂×C₄	—	292	8	no	—
1311	C₂×C₄	—	292	4	no	—
1312	C₂×C₄	—	292	4	no	—
1313	C₂×C₄	—	292	8	no	—
1314	C₂×C₄	—	292	8	no	—
1315	C₂×C₄	—	73	2	no	—
1316	C₂×C₄	—	73	2	no	—
1317	C₂×C₄	—	73	4	no	—
1318	C₂×C₄	—	73	2	no	—
1319	C₂×C₄	—	73	2	no	—
1320	C₂×C₄	—	73	4	no	—
1321	C₂×C₄	—	73	4	no	—
1322	C₂×C₄	—	73	2	no	—
1323	C₂×C₄	—	146	16	no	—
1324	C₂×C₄	—	146	8	no	—
1325	C₂×C₄	—	146	4	no	—
1326	C₂×C₄	—	146	2	no	—
1327	C₂×C₄	—	146	2	no	—
1328	C₂×C₄	—	146	2	no	—
1329	C₂×C₄	—	146	2	no	—
1330	C₂×C₄	—	146	4	no	—
1331	C₂×C₄	—	146	4	no	—
1332	C₂×C₄	—	146	2	no	—
1333	C₂×C₄	—	146	8	no	—
1334	C₂×C₄	—	146	8	no	—
1335	C₂×C₄	—	146	8	no	—
1336	C₂×C₄	#14556637	1	4	yes	—
1337	C₂×C₄	C₂⁴×D₇₃	1	2	yes	—
1338	C₂×C₄	C₂⁴×D₇₃	1	2	yes	—
1339	C₂×C₄	C₂⁴×D₇₃	1	4	yes	—
1340	C₂×C₄	C₂⁴×D₇₃	1	4	yes	—
1341	C₂×C₄	C₂⁴×D₇₃	1	2	yes	—
1342	C₂×C₄	C₂⁴×D₇₃	1	4	yes	—
1343	C₂×C₄	C₂⁴×D₇₃	1	2	yes	—
1344	C₂×C₄	C₂⁴×D₇₃	1	2	yes	—
1345	C₂²	—	2	8	no	—
1346	C₂²	—	2	2	no	—
1347	C₂²	—	2	2	no	—
1348	C₂²	—	2	2	no	—
1349	C₂²	—	2	4	no	—
1350	C₂²	—	2	2	no	—
1351	C₂²	—	2	4	no	—
1352	C₂²	—	2	4	no	—
1353	C₂²	—	2	2	no	—
1354	C₂²	—	4	4	no	—
1355	C₂²	—	4	8	no	—
1356	C₂²	—	292	16	no	—
1357	C₂²	—	292	16	no	—
1358	C₂²	—	292	4	no	—
1359	C₂²	—	292	8	no	—
1360	C₂²	—	584	16	no	—
1361	C₂²	—	73	4	no	—
1362	C₂²	—	73	4	no	—
1363	C₂²	—	146	2	no	—
1364	C₂²	—	146	4	no	—
1365	C₂²	—	146	2	no	—
1366	C₂²	—	146	4	no	—
1367	C₂²	—	146	4	no	—
1368	C₂²	—	146	2	no	—
1369	C₂²	—	146	8	no	—
1370	C₂²	—	146	8	no	—
1371	C₂²	—	146	2	no	—
1372	C₂²	—	146	2	no	—
1373	C₂²	—	146	2	no	—
1374	C₂²	—	146	2	no	—
1375	C₂²	C₂×#41×D₇₃	1	4	yes	—
1376	C₂²	C₂×#41×D₇₃	1	2	yes	—
1377	C₂²	C₂×#14556637	1	2	yes	—
1378	C₂²	#17989422	1	2	yes	—
1379	C₂²	C₂⁵×D₇₃	1	1	yes	characteristic
1380	C₄	—	2	4	no	—
1381	C₄	—	2	2	no	—
1382	C₄	—	2	2	no	—
1383	C₄	—	2	2	no	—
1384	C₄	—	2	2	no	—
1385	C₄	—	2	4	no	—
1386	C₄	—	2	4	no	—
1387	C₄	—	146	2	no	—
1388	C₄	—	146	4	no	—
1389	C₄	—	146	2	no	—
1390	C₄	—	146	2	no	—
1391	C₄	—	146	2	no	—
1392	C₄	—	146	4	no	—
1393	C₄	—	146	4	no	—
1394	C₄	—	146	2	no	—
1395	C₄	C₂×#14556637	1	4	yes	—
1396	C₂	—	2	4	no	—
1397	C₂	—	4	2	no	—
1398	C₂	—	4	4	no	—
1399	C₂	—	292	2	no	—
1400	C₂	—	292	4	no	—
1401	C₂	—	146	4	no	—
1402	C₂	—	146	4	no	—
1403	C₂	#22623760	1	4	yes	direct product factor
1404	C₂	C₂²×#41×D₇₃	1	1	yes	characteristic
1405	C₂	C₂²×#14556637	1	1	yes	characteristic
1406	C₂	C₂×#17989422	1	1	yes	characteristic

	subgroup	G/H
center	C₂³	C₂⁴×D₇₃
commutator, cosocle	C₂²×C₇₃	C₂⁶
Frattini	C₂²	C₂⁵×D₇₃
Fitting	C₂×#553×C₇₃	C₂
socle	C₂³×C₇₃	C₂⁵
hypercenter	C₂×#553	D₇₃
hypocenter	C₇₃	C₂×#3505
LCS	G ▷ C₂²×C₇₃ ▷ C₇₃
UCS	C₁ ◁ C₂³ ◁ C₂×#553

Complements

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

N	H ≅ G/N	type
1. #22623760	C₂	direct (N × H)
2. C₂×#17989289	C₂	semidirect
3. C₂×#17989285	C₂	semidirect
4. C₂×#17989283	C₂	semidirect
5. C₂×#17989276	C₂	semidirect
6. C₂×#17989275	C₂	semidirect
7. C₂×#17989262	C₂	semidirect
8. C₂×#17989260	C₂	semidirect
9. C₂×#17989246	C₂	semidirect
10. C₂×#17989243	C₂	semidirect
11. C₂×#17989234	C₂	semidirect
12. C₂×#17989232	C₂	semidirect
13. C₂×#17989178	C₂	semidirect
14. C₂×#17989173	C₂	semidirect
15. C₂×#17989145	C₂	semidirect
16. C₂×#17989122	C₂	semidirect
17. C₂×#17989119	C₂	semidirect
18. C₂×#17989099	C₂	semidirect
19. C₂×#17989097	C₂	semidirect
20. C₂²×#14556571	C₂	semidirect
21. C₂×#121×D₇₃	C₂	semidirect
22. C₂×#17989059	C₂	semidirect
23. C₂×C₄×D₄×D₇₃	C₂	semidirect
24. C₂×#553×C₇₃	C₂	semidirect
25. C₂²×#11924028	C₂²	semidirect
26. C₂²×#11924027	C₂²	semidirect
27. C₂³×Dic₁₄₆	C₂²	semidirect
30. C₂²×D₄×D₇₃	C₂²	semidirect
32. C₂³×C₄×D₇₃	C₂²	semidirect
33. #17989289	C₂²	semidirect
34. #17989285	C₂²	semidirect
35. #17989283	C₂²	semidirect
36. #17989276	C₂²	semidirect
37. #17989275	C₂²	semidirect
38. #17989262	C₂²	semidirect
39. #17989260	C₂²	semidirect
40. #17989246	C₂²	semidirect
41. #17989243	C₂²	semidirect
42. #17989234	C₂²	semidirect
43. #17989232	C₂²	semidirect
44. #17989178	C₂²	semidirect
45. #17989173	C₂²	semidirect
46. #17989145	C₂²	semidirect
47. #17989122	C₂²	semidirect
48. #17989119	C₂²	semidirect
49. C₂×#14556586	C₂²	semidirect
50. C₂×#14556586	C₂²	semidirect
51. C₂×#14556586	C₂²	semidirect
52. C₂×#14556584	C₂²	semidirect
53. C₂×#14556584	C₂²	semidirect
54. C₂×#14556583	C₂²	semidirect
55. C₂×#14556582	C₂²	semidirect
56. C₂×#14556582	C₂²	semidirect
57. C₂×#14556579	C₂²	semidirect
58. C₂×#14556578	C₂²	semidirect
59. C₂×#14556577	C₂²	semidirect
60. C₂×#14556577	C₂²	semidirect
61. #17989099	C₂²	semidirect
62. #17989097	C₂²	semidirect
64. C₂×#14556576	C₂²	semidirect
65. C₂×#14556576	C₂²	semidirect
66. C₂×#14556575	C₂²	semidirect
67. C₂×#14556575	C₂²	semidirect
69. C₂×#14556573	C₂²	semidirect
70. C₂×#14556573	C₂²	semidirect
71. C₂×#14556573	C₂²	semidirect
72. C₂×#14556571	C₂²	semidirect
73. C₂×#14556571	C₂²	semidirect
74. C₂×#14556571	C₂²	semidirect
75. C₂×#14556571	C₂²	semidirect
76. C₂×#14556571	C₂²	semidirect
77. C₂×#14556571	C₂²	semidirect
78. C₂×#14556571	C₂²	semidirect
79. C₂×#14556571	C₂²	semidirect
80. C₂×#14556570	C₂²	semidirect
81. C₂×#14556569	C₂²	semidirect
82. C₂×#14556568	C₂²	semidirect
84. C₂×#14556566	C₂²	semidirect
85. C₂×#14556565	C₂²	semidirect
86. C₂×#14556565	C₂²	semidirect
87. C₂×#14556565	C₂²	semidirect
89. C₂×#14556563	C₂²	semidirect
90. C₂×#14556563	C₂²	semidirect
91. C₂×#14556563	C₂²	semidirect
93. C₂×#14556562	C₂²	semidirect
94. #121×D₇₃	C₂²	semidirect
96. C₂×#14556561	C₂²	semidirect
98. C₂×#14556559	C₂²	semidirect
99. #17989059	C₂²	semidirect
100. C₂×C₄×Dic₁₄₆	C₂²	semidirect
101. C₂×#14556556	C₂²	semidirect
103. C₂×C₄×D₂₉₂	C₂²	semidirect
104. C₂×C₄×D₂₉₂	C₂²	semidirect
105. C₂×D₄×Dic₇₃	C₂²	semidirect
106. C₂×D₄×Dic₇₃	C₂²	semidirect
107. C₂×D₄×Dic₇₃	C₂²	semidirect
109. C₂×#14556553	C₂²	semidirect
110. C₂×#14556553	C₂²	semidirect
112. C₂×C₄×C₂²⋊D₇₃	C₂²	semidirect
113. C₂×C₄×C₂²⋊D₇₃	C₂²	semidirect
114. C₂×C₄×C₂²⋊D₇₃	C₂²	semidirect
116. C₂×#14556551	C₂²	semidirect
117. C₂×#14556551	C₂²	semidirect
118. C₂×#14556551	C₂²	semidirect
119. C₄×D₄×D₇₃	C₂²	semidirect
120. C₂×#14556550	C₂²	semidirect
121. C₂×#14556549	C₂²	semidirect
122. C₂×#14556549	C₂²	semidirect
123. C₂×#14556549	C₂²	semidirect
124. C₂×#14556548	C₂²	semidirect
125. C₂²×C₄⋊Dic₇₃	C₂²	semidirect
126. C₂×C₄⋊C₄×D₇₃	C₂²	semidirect
127. C₂×C₄⋊C₄×D₇₃	C₂²	semidirect
129. C₂²×#11924005	C₂²	semidirect
131. C₂×C₂²⋊C₄×D₇₃	C₂²	semidirect
132. C₂×C₂²⋊C₄×D₇₃	C₂²	semidirect
133. C₂×C₂²⋊C₄×D₇₃	C₂²	semidirect
134. C₂×C₄²×D₇₃	C₂²	semidirect
135. #553×C₇₃	C₂²	semidirect
136. C₂×#126×C₇₃	C₂²	semidirect
137. C₂×#125×C₇₃	C₂²	semidirect
138. C₂×#123×C₇₃	C₂²	semidirect
139. C₂×#121×C₇₃	C₂²	semidirect
140. C₂×#121×C₇₃	C₂²	semidirect
141. C₂×#121×C₇₃	C₂²	semidirect
142. C₂×C₄×D₄×C₇₃	C₂²	semidirect
143. C₂×C₄×D₄×C₇₃	C₂²	semidirect
144. C₂×C₄×D₄×C₇₃	C₂²	semidirect
145. C₂×#117×C₇₃	C₂²	semidirect
146. C₂²×C₄⋊C₄×C₇₃	C₂²	semidirect
151. C₂×#11924028	C₂³	semidirect
153. C₂×#11924027	C₂³	semidirect
158. C₂²×Dic₁₄₆	C₂³	semidirect
175. C₂×D₄×D₇₃	C₂³	semidirect
195. C₂²×C₄×D₇₃	C₂³	semidirect
196. #14556586	C₂³	semidirect
197. #14556586	C₂³	semidirect
198. #14556586	C₂³	semidirect
199. #14556584	C₂³	semidirect
200. #14556584	C₂³	semidirect
201. #14556583	C₂³	semidirect
202. #14556582	C₂³	semidirect
203. #14556582	C₂³	semidirect
204. #14556579	C₂³	semidirect
205. #14556578	C₂³	semidirect
206. #14556577	C₂³	semidirect
207. #14556577	C₂³	semidirect
209. #14556576	C₂³	semidirect
210. #14556576	C₂³	semidirect
211. #14556575	C₂³	semidirect
212. #14556575	C₂³	semidirect
214. #14556573	C₂³	semidirect
215. #14556573	C₂³	semidirect
216. #14556573	C₂³	semidirect
217. #14556571	C₂³	semidirect
218. #14556571	C₂³	semidirect
219. #14556571	C₂³	semidirect
220. #14556571	C₂³	semidirect
221. #14556571	C₂³	semidirect
222. #14556571	C₂³	semidirect
223. #14556571	C₂³	semidirect
224. #14556570	C₂³	semidirect
225. #14556569	C₂³	semidirect
226. #14556568	C₂³	semidirect
228. #14556566	C₂³	semidirect
229. #14556565	C₂³	semidirect
230. #14556565	C₂³	semidirect
231. #14556565	C₂³	semidirect
233. #14556563	C₂³	semidirect
234. #14556563	C₂³	semidirect
235. #14556563	C₂³	semidirect
237. #14556562	C₂³	semidirect
239. #14556561	C₂³	semidirect
241. #14556559	C₂³	semidirect
242. C₄×Dic₁₄₆	C₂³	semidirect
243. #14556556	C₂³	semidirect
245. C₄×D₂₉₂	C₂³	semidirect
246. C₄×D₂₉₂	C₂³	semidirect
247. D₄×Dic₇₃	C₂³	semidirect
248. D₄×Dic₇₃	C₂³	semidirect
249. D₄×Dic₇₃	C₂³	semidirect
251. #14556553	C₂³	semidirect
252. #14556553	C₂³	semidirect
254. C₄×C₂²⋊D₇₃	C₂³	semidirect
255. C₄×C₂²⋊D₇₃	C₂³	semidirect
256. C₄×C₂²⋊D₇₃	C₂³	semidirect
258. #14556551	C₂³	semidirect
259. #14556551	C₂³	semidirect
260. #14556551	C₂³	semidirect
261. #14556550	C₂³	semidirect
262. #14556549	C₂³	semidirect
263. #14556549	C₂³	semidirect
264. #14556549	C₂³	semidirect
265. #14556548	C₂³	semidirect
274. C₂×C₄⋊Dic₇₃	C₂³	semidirect
282. C₄⋊C₄×D₇₃	C₂³	semidirect
283. C₄⋊C₄×D₇₃	C₂³	semidirect
307. C₂×#11924005	C₂³	semidirect
309. C₂²⋊C₄×D₇₃	C₂³	semidirect
310. C₂²⋊C₄×D₇₃	C₂³	semidirect
311. C₂²⋊C₄×D₇₃	C₂³	semidirect
318. C₄²×D₇₃	C₂³	semidirect
327. #126×C₇₃	C₂³	semidirect
328. #125×C₇₃	C₂³	semidirect
329. #123×C₇₃	C₂³	semidirect
330. #121×C₇₃	C₂³	semidirect
331. #121×C₇₃	C₂³	semidirect
332. #121×C₇₃	C₂³	semidirect
333. C₄×D₄×C₇₃	C₂³	semidirect
334. C₄×D₄×C₇₃	C₂³	semidirect
335. C₄×D₄×C₇₃	C₂³	semidirect
336. #117×C₇₃	C₂³	semidirect
344. C₂×C₄⋊C₄×C₇₃	C₂³	semidirect
361. C₂³×D₇₃	#41	semidirect
566. C₂²×D₇₃	C₂×#41	semidirect
696. C₂×C₇₃	#3505	semidirect
708. C₂×#553	D₇₃	semidirect
728. C₇₃	C₂×#3505	semidirect
740. #553	C₂×D₇₃	semidirect
759. C₂×#126	C₂×D₇₃	semidirect
763. C₂×#125	C₂×D₇₃	semidirect
779. C₂×#123	C₂×D₇₃	semidirect
803. C₂×#121	C₂×D₇₃	semidirect
804. C₂×#121	C₂×D₇₃	semidirect
805. C₂×#121	C₂×D₇₃	semidirect
831. C₂×C₄×D₄	C₂×D₇₃	semidirect
832. C₂×C₄×D₄	C₂×D₇₃	semidirect
833. C₂×C₄×D₄	C₂×D₇₃	semidirect
839. C₂×#117	C₂×D₇₃	semidirect
843. C₂²×C₄⋊C₄	C₂×D₇₃	semidirect
913. #126	C₂²×D₇₃	semidirect
917. #125	C₂²×D₇₃	semidirect
931. #123	C₂²×D₇₃	semidirect
953. #121	C₂²×D₇₃	semidirect
954. #121	C₂²×D₇₃	semidirect
955. #121	C₂²×D₇₃	semidirect
979. C₄×D₄	C₂²×D₇₃	semidirect
980. C₄×D₄	C₂²×D₇₃	semidirect
981. C₄×D₄	C₂²×D₇₃	semidirect
987. #117	C₂²×D₇₃	semidirect
1013. C₂×C₄⋊C₄	C₂²×D₇₃	semidirect
1403. C₂	#22623760	direct (N × H)

Maximal subgroups

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

subgroup	index
#22623760	2
C₂×#17989289	2
C₂×#17989285	2
C₂×#17989283	2
C₂×#17989276	2
C₂×#17989275	2
C₂×#17989262	2
C₂×#17989260	2
C₂×#17989246	2
C₂×#17989243	2
C₂×#17989234	2
C₂×#17989232	2
C₂×#17989178	2
C₂×#17989173	2
C₂×#17989145	2
C₂×#17989122	2
C₂×#17989119	2
C₂×#17989099	2
C₂×#17989097	2
C₂²×#14556571	2
C₂×#121×D₇₃	2
C₂×#17989059	2
C₂×C₄×D₄×D₇₃	2
C₂×#553×C₇₃	2
C₂×#3505	73

Subgroups — C2×#22623760 #33993902

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₂×#22623760 #33993902