Subgroups — #3489×D₇₃ #33994380

Order 18688.

11438 conjugacy classes of subgroups.

The subgroup lattice has 1658 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×2₋¹⁺⁴×D₇₃	C₂	1	1	yes	maximal, characteristic, complemented
2	C₂²×#41×D₇₃	C₂	1	1	yes	maximal, characteristic, complemented
3	#22623612	C₂	1	1	yes	maximal, characteristic, complemented
4	#22623611	C₂	1	1	yes	maximal, characteristic, complemented
5	#22623610	C₂	1	2	yes	maximal, complemented
6	#22623609	C₂	1	3	yes	maximal, complemented
7	#22623608	C₂	1	2	yes	maximal, complemented
8	#22623607	C₂	1	3	yes	maximal, complemented
9	#22623606	C₂	1	3	yes	maximal, complemented
10	#22623605	C₂	1	6	yes	maximal, complemented
11	#22623604	C₂	1	1	yes	maximal, characteristic, complemented
12	#22623603	C₂	1	3	yes	maximal, complemented
13	#22623602	C₂	1	6	yes	maximal, complemented
14	D₄×Q₈×D₇₃	C₂	1	2	yes	maximal, complemented
15	#548×D₇₃	C₂	1	2	yes	maximal, complemented
16	#547×D₇₃	C₂	1	6	yes	maximal, complemented
17	#546×D₇₃	C₂	1	6	yes	maximal, complemented
18	#537×D₇₃	C₂	1	3	yes	maximal, complemented
19	#536×D₇₃	C₂	1	3	yes	maximal, complemented
20	#525×D₇₃	C₂	1	3	yes	maximal, complemented
21	C₂×C₂²⋊Q₈×D₇₃	C₂	1	3	yes	maximal, complemented
22	#520×D₇₃	C₂	1	1	yes	maximal, characteristic, complemented
23	C₇₃×#3489	C₂	1	1	yes	maximal, characteristic, complemented
24	C₂×#14556639	C₂²	1	3	yes	complemented
25	C₂×#14556639	C₂²	1	2	yes	complemented
26	C₂×#14556638	C₂²	1	1	yes	characteristic, complemented
27	C₂×#14556638	C₂²	1	6	yes	complemented
28	C₂×#14556638	C₂²	1	3	yes	complemented
29	2₋¹⁺⁴×D₇₃	—	2	16	no	—
30	C₂²×#11924029	C₂²	1	1	yes	characteristic, complemented
31	C₂²×#11924028	C₂²	1	3	yes	complemented
32	C₂²×#11924027	C₂²	1	3	yes	complemented
33	C₂×#41×D₇₃	—	2	16	no	—
34	C₂×#41×D₇₃	C₂²	1	3	yes	—
35	C₂×#41×D₇₃	C₂²	1	3	yes	—
36	C₂×#41×D₇₃	C₂²	1	1	yes	characteristic
37	C₂×#41×D₇₃	C₂²	1	1	yes	characteristic
38	C₂×#41×D₇₃	C₂²	1	1	yes	characteristic, complemented
39	C₂×#41×D₇₃	C₂²	1	3	yes	complemented
40	C₂×#41×D₇₃	C₂²	1	3	yes	complemented
41	C₂×#41×D₇₃	C₂²	1	1	yes	characteristic, complemented
42	C₂×#41×D₇₃	C₂²	1	3	yes	complemented
43	C₂×#41×D₇₃	C₂²	1	6	yes	complemented
44	C₂²×Q₈×D₇₃	C₂²	1	1	yes	characteristic
45	C₂²×Q₈×D₇₃	C₂²	1	3	yes	complemented
46	C₂²×Q₈×D₇₃	C₂²	1	2	yes	complemented
47	C₂²×D₄×D₇₃	C₂²	1	3	yes	—
48	C₂³×C₄×D₇₃	C₂²	1	3	yes	—
49	Q₈×D₂₉₂	C₂²	1	2	yes	complemented
50	D₄×Dic₁₄₆	C₂²	1	6	yes	complemented
51	#17989252	C₂²	1	6	yes	complemented
52	Q₈×C₂²⋊D₇₃	C₂²	1	2	yes	complemented
53	Q₈×C₂²⋊D₇₃	C₂²	1	2	yes	complemented
54	#17989250	C₂²	1	6	yes	complemented
55	#17989250	C₂²	1	6	yes	complemented
56	#17989249	C₂²	1	2	yes	complemented
57	#17989248	C₂²	1	2	yes	complemented
58	#17989247	C₂²	1	6	yes	complemented
59	#17989246	C₂²	1	6	yes	complemented
60	#17989245	C₂²	1	6	yes	complemented
61	#17989244	C₂²	1	2	yes	complemented
62	#17989243	C₂²	1	6	yes	complemented
63	#17989242	C₂²	1	6	yes	complemented
64	#17989241	C₂²	1	6	yes	complemented
65	#17989240	C₂²	1	6	yes	complemented
66	#17989239	C₂²	1	6	yes	complemented
67	#17989239	C₂²	1	6	yes	complemented
68	#17989238	C₂²	1	12	yes	complemented
69	#17989237	C₂²	1	12	yes	complemented
70	#17989236	C₂²	1	6	yes	complemented
71	#17989236	C₂²	1	6	yes	complemented
72	#17989235	C₂²	1	12	yes	complemented
73	#17989235	C₂²	1	12	yes	complemented
74	#17989234	C₂²	1	6	yes	complemented
75	#17989233	C₂²	1	6	yes	complemented
76	#17989232	C₂²	1	6	yes	complemented
77	#17989231	C₂²	1	6	yes	complemented
78	#17989230	C₂²	1	6	yes	complemented
79	#17989229	C₂²	1	12	yes	complemented
80	#17989228	C₂²	1	6	yes	complemented
81	#17989227	C₂²	1	12	yes	complemented
82	#17989226	C₂²	1	12	yes	complemented
83	#17989225	C₂²	1	6	yes	complemented
84	#17989224	C₂²	1	12	yes	complemented
85	#17989168	C₂²	1	3	yes	complemented
86	#17989167	C₂²	1	6	yes	complemented
87	#17989167	C₂²	1	6	yes	complemented
88	#17989166	C₂²	1	6	yes	complemented
89	#17989166	C₂²	1	6	yes	complemented
90	#17989165	C₂²	1	3	yes	complemented
91	#17989165	C₂²	1	3	yes	complemented
92	#17989164	C₂²	1	12	yes	complemented
93	#17989163	C₂²	1	3	yes	complemented
94	#17989162	C₂²	1	6	yes	complemented
95	#17989161	C₂²	1	3	yes	complemented
96	#17989160	C₂²	1	6	yes	complemented
97	#17989160	C₂²	1	6	yes	complemented
98	#17989159	C₂²	1	12	yes	complemented
99	#17989158	C₂²	1	3	yes	complemented
100	#17989157	C₂²	1	6	yes	complemented
101	C₄⋊Q₈×D₇₃	C₂²	1	6	yes	complemented
102	#124×D₇₃	C₂²	1	6	yes	complemented
103	#17989100	C₂²	1	3	yes	complemented
104	#17989100	C₂²	1	3	yes	complemented
105	#17989099	C₂²	1	3	yes	complemented
106	#17989098	C₂²	1	3	yes	complemented
107	#17989097	C₂²	1	3	yes	complemented
108	#17989097	C₂²	1	3	yes	complemented
109	#17989096	C₂²	1	6	yes	complemented
110	#17989096	C₂²	1	6	yes	complemented
111	#17989095	C₂²	1	6	yes	complemented
112	#17989094	C₂²	1	3	yes	complemented
113	#17989093	C₂²	1	6	yes	complemented
114	#123×D₇₃	C₂²	1	12	yes	complemented
115	#123×D₇₃	C₂²	1	6	yes	complemented
116	C₂×#14556571	C₂²	1	3	yes	complemented
117	C₂×#14556570	C₂²	1	3	yes	complemented
118	C₂×#14556569	C₂²	1	6	yes	complemented
119	C₂×#14556568	C₂²	1	6	yes	complemented
120	C₂×#14556567	C₂²	1	3	yes	complemented
121	C₂²⋊Q₈×D₇₃	C₂²	1	6	yes	—
122	C₂²⋊Q₈×D₇₃	C₂²	1	3	yes	—
123	C₂²⋊Q₈×D₇₃	C₂²	1	6	yes	complemented
124	C₂²⋊Q₈×D₇₃	C₂²	1	6	yes	complemented
125	C₂²⋊Q₈×D₇₃	C₂²	1	3	yes	complemented
126	C₂²⋊Q₈×D₇₃	C₂²	1	6	yes	complemented
127	C₂²⋊Q₈×D₇₃	C₂²	1	6	yes	complemented
128	C₂²⋊Q₈×D₇₃	C₂²	1	6	yes	complemented
129	C₂²⋊Q₈×D₇₃	C₂²	1	6	yes	complemented
130	C₂²⋊Q₈×D₇₃	C₂²	1	6	yes	complemented
131	#121×D₇₃	C₂²	1	1	yes	characteristic
132	#121×D₇₃	C₂²	1	3	yes	complemented
133	#121×D₇₃	C₂²	1	12	yes	complemented
134	#121×D₇₃	C₂²	1	6	yes	complemented
135	#120×D₇₃	C₂²	1	6	yes	—
136	#17989070	C₂²	1	1	yes	characteristic, complemented
137	#17989069	C₂²	1	2	yes	complemented
138	#17989068	C₂²	1	3	yes	complemented
139	#17989067	C₂²	1	3	yes	complemented
140	#17989066	C₂²	1	6	yes	complemented
141	C₄×Q₈×D₇₃	C₂²	1	2	yes	complemented
142	C₄×D₄×D₇₃	C₂²	1	6	yes	—
143	C₄×D₄×D₇₃	C₂²	1	6	yes	complemented
144	C₄×D₄×D₇₃	C₂²	1	6	yes	complemented
145	#117×D₇₃	C₂²	1	3	yes	complemented
146	C₂×C₄⋊C₄×D₇₃	C₂²	1	3	yes	complemented
147	C₂×C₄⋊C₄×D₇₃	C₂²	1	6	yes	complemented
148	C₂×C₂²⋊C₄×D₇₃	C₂²	1	6	yes	—
149	C₂×2₋¹⁺⁴×C₇₃	C₂²	1	1	yes	characteristic, complemented
150	C₂²×#41×C₇₃	C₂²	1	1	yes	characteristic, complemented
151	D₄×Q₈×C₇₃	C₂²	1	2	yes	complemented
152	#548×C₇₃	C₂²	1	2	yes	complemented
153	#547×C₇₃	C₂²	1	6	yes	complemented
154	#546×C₇₃	C₂²	1	6	yes	complemented
155	#537×C₇₃	C₂²	1	3	yes	complemented
156	#536×C₇₃	C₂²	1	3	yes	complemented
157	#525×C₇₃	C₂²	1	3	yes	complemented
158	C₂×C₂²⋊Q₈×C₇₃	C₂²	1	3	yes	complemented
159	#520×C₇₃	C₂²	1	1	yes	characteristic, complemented
160	C₂⁴×D₇₃	C₂³	1	3	yes	—
161	#14556639	—	2	16	no	—
162	#14556639	—	2	24	no	—
163	#14556638	—	2	24	no	—
164	#14556638	—	2	48	no	—
165	#14556638	—	2	8	no	—
166	C₂×#11924029	—	2	8	no	—
167	C₂×#11924029	C₂³	1	3	yes	—
168	C₂×#11924029	C₂³	1	3	yes	—
169	C₂×#11924029	C₂³	1	1	yes	characteristic
170	C₂×#11924029	C₂³	1	1	yes	characteristic
171	C₂×#11924029	C₂³	1	3	yes	complemented
172	C₂×#11924029	C₂³	1	6	yes	complemented
173	C₂×#11924028	—	2	24	no	—
174	C₂×#11924028	C₂³	1	6	yes	—
175	C₂×#11924028	C₂³	1	3	yes	—
176	C₂×#11924028	C₂³	1	6	yes	—
177	C₂×#11924028	C₂³	1	3	yes	—
178	C₂×#11924028	C₂³	1	3	yes	—
179	C₂×#11924028	C₂³	1	3	yes	—
180	C₂×#11924028	C₂³	1	3	yes	complemented
181	C₂×#11924028	C₂³	1	6	yes	complemented
182	C₂×#11924028	C₂³	1	12	yes	complemented
183	C₂×#11924028	C₂³	1	6	yes	complemented
184	C₂×#11924027	—	2	24	no	—
185	C₂×#11924027	C₂³	1	3	yes	—
186	C₂×#11924027	C₂³	1	6	yes	—
187	C₂×#11924027	C₂³	1	6	yes	—
188	C₂×#11924027	C₂³	1	3	yes	—
189	C₂×#11924027	C₂³	1	3	yes	—
190	C₂×#11924027	C₂³	1	3	yes	—
191	C₂×#11924027	C₂³	1	6	yes	complemented
192	C₂×#11924027	C₂³	1	3	yes	complemented
193	C₂×#11924027	C₂³	1	12	yes	complemented
194	C₂×#11924027	C₂³	1	6	yes	complemented
195	#41×D₇₃	—	2	8	no	—
196	#41×D₇₃	—	2	24	no	—
197	#41×D₇₃	—	2	24	no	—
198	#41×D₇₃	—	2	8	no	—
199	#41×D₇₃	—	2	24	no	—
200	#41×D₇₃	—	2	48	no	—
201	#41×D₇₃	—	2	24	no	—
202	#41×D₇₃	—	2	24	no	—
203	#41×D₇₃	—	2	8	no	—
204	#41×D₇₃	D₄	1	16	yes	complemented
205	C₂²×Dic₁₄₆	C₂³	1	3	yes	—
206	C₂²×Dic₁₄₆	C₂³	1	3	yes	complemented
207	C₂²×Dic₁₄₆	C₂³	1	6	yes	complemented
208	C₂²×Dic₁₄₆	C₂³	1	6	yes	complemented
209	C₂×Q₈×D₇₃	—	2	8	no	—
210	C₂×Q₈×D₇₃	—	2	16	no	—
211	C₂×Q₈×D₇₃	—	2	24	no	—
212	C₂×Q₈×D₇₃	C₂³	1	3	yes	—
213	C₂×Q₈×D₇₃	C₂³	1	6	yes	—
214	C₂×Q₈×D₇₃	C₂³	1	3	yes	—
215	C₂×Q₈×D₇₃	C₂³	1	1	yes	characteristic
216	C₂×Q₈×D₇₃	C₂³	1	3	yes	—
217	C₂×Q₈×D₇₃	C₂³	1	1	yes	characteristic
218	C₂×Q₈×D₇₃	C₂³	1	6	yes	complemented
219	C₂×Q₈×D₇₃	C₂³	1	6	yes	complemented
220	C₂×Q₈×D₇₃	C₂³	1	2	yes	complemented
221	C₂×Q₈×D₇₃	C₂³	1	6	yes	complemented
222	C₂²×D₂₉₂	C₂³	1	3	yes	—
223	C₂²×C₂²⋊D₇₃	C₂³	1	6	yes	—
224	C₂×D₄×D₇₃	—	2	24	no	—
225	C₂×D₄×D₇₃	C₂³	1	6	yes	—
226	C₂×D₄×D₇₃	C₂³	1	3	yes	—
227	C₂×D₄×D₇₃	C₂³	1	3	yes	—
228	C₂×D₄×D₇₃	C₂³	1	6	yes	—
229	C₂×D₄×D₇₃	C₂³	1	3	yes	—
230	C₂×D₄×D₇₃	C₂³	1	6	yes	—
231	C₂×D₄×D₇₃	C₂³	1	1	yes	characteristic
232	C₂×D₄×D₇₃	C₂³	1	2	yes	—
233	C₂×D₄×D₇₃	C₂³	1	6	yes	—
234	C₂×D₄×D₇₃	C₂³	1	3	yes	—
235	C₂³×Dic₇₃	C₂³	1	3	yes	—
236	C₂²×C₄×D₇₃	—	2	24	no	—
237	C₂²×C₄×D₇₃	C₂³	1	1	yes	characteristic
238	C₂²×C₄×D₇₃	C₂³	1	3	yes	—
239	C₂²×C₄×D₇₃	C₂³	1	3	yes	—
240	C₂²×C₄×D₇₃	C₂³	1	3	yes	—
241	C₂²×C₄×D₇₃	C₂³	1	3	yes	—
242	C₂²×C₄×D₇₃	C₂³	1	3	yes	—
243	C₂²×C₄×D₇₃	C₂³	1	3	yes	—
244	C₂²×C₄×D₇₃	C₂³	1	3	yes	—
245	C₂²×C₄×D₇₃	C₂³	1	3	yes	—
246	C₂²×C₄×D₇₃	C₂³	1	3	yes	—
247	C₂²×C₄×D₇₃	C₂³	1	3	yes	—
248	C₂²×C₄×D₇₃	C₂³	1	6	yes	—
249	C₂²×C₄×D₇₃	C₂³	1	6	yes	—
250	C₂²×C₄×D₇₃	C₂³	1	6	yes	—
251	C₂²×C₄×D₇₃	C₂³	1	3	yes	—
252	#14556591	C₂³	1	6	yes	complemented
253	#14556590	C₂³	1	12	yes	complemented
254	#14556590	C₂³	1	12	yes	complemented
255	#14556589	C₂³	1	6	yes	complemented
256	#14556589	C₂³	1	6	yes	complemented
257	#14556580	C₂³	1	6	yes	complemented
258	#14556579	C₂³	1	6	yes	complemented
259	#14556578	C₂³	1	6	yes	complemented
260	#14556577	C₂³	1	12	yes	complemented
261	#14556577	C₂³	1	12	yes	complemented
262	#14556576	C₂³	1	12	yes	complemented
263	#14556576	C₂³	1	12	yes	complemented
264	#14556576	C₂³	1	6	yes	complemented
265	#14556576	C₂³	1	6	yes	complemented
266	#14556575	C₂³	1	12	yes	complemented
267	#14556575	C₂³	1	6	yes	complemented
268	#14556574	C₂³	1	12	yes	complemented
269	#14556574	C₂³	1	6	yes	complemented
270	#14556573	C₂³	1	12	yes	complemented
271	#14556573	C₂³	1	12	yes	complemented
272	#14556573	C₂³	1	6	yes	complemented
273	#14556573	C₂³	1	6	yes	complemented
274	#14556572	C₂³	1	12	yes	complemented
275	#14556572	C₂³	1	6	yes	complemented
276	#14556571	C₂³	1	6	yes	—
277	#14556571	C₂³	1	3	yes	—
278	#14556571	C₂³	1	3	yes	complemented
279	#14556571	C₂³	1	6	yes	complemented
280	#14556571	C₂³	1	6	yes	complemented
281	#14556571	C₂³	1	6	yes	complemented
282	#14556570	C₂³	1	6	yes	—
283	#14556570	C₂³	1	3	yes	—
284	#14556570	C₂³	1	3	yes	complemented
285	#14556570	C₂³	1	6	yes	complemented
286	#14556570	C₂³	1	6	yes	complemented
287	#14556570	C₂³	1	6	yes	complemented
288	#14556569	C₂³	1	12	yes	—
289	#14556569	C₂³	1	6	yes	—
290	#14556569	C₂³	1	6	yes	complemented
291	#14556569	C₂³	1	12	yes	complemented
292	#14556569	C₂³	1	12	yes	complemented
293	#14556569	C₂³	1	12	yes	complemented
294	#14556568	C₂³	1	12	yes	—
295	#14556568	C₂³	1	6	yes	—
296	#14556568	C₂³	1	6	yes	complemented
297	#14556568	C₂³	1	12	yes	complemented
298	#14556568	C₂³	1	12	yes	complemented
299	#14556568	C₂³	1	12	yes	complemented
300	#14556567	C₂³	1	6	yes	—
301	#14556567	C₂³	1	3	yes	—
302	#14556567	C₂³	1	3	yes	complemented
303	#14556567	C₂³	1	6	yes	complemented
304	#14556567	C₂³	1	6	yes	complemented
305	#14556567	C₂³	1	6	yes	complemented
306	#14556566	C₂³	1	1	yes	characteristic
307	#14556566	C₂³	1	3	yes	complemented
308	#14556566	C₂³	1	12	yes	complemented
309	#14556566	C₂³	1	6	yes	complemented
310	#14556565	C₂³	1	1	yes	characteristic
311	#14556565	C₂³	1	12	yes	complemented
312	#14556565	C₂³	1	3	yes	complemented
313	#14556565	C₂³	1	6	yes	complemented
314	#14556564	C₂³	1	2	yes	—
315	#14556564	C₂³	1	6	yes	complemented
316	#14556564	C₂³	1	12	yes	complemented
317	#14556564	C₂³	1	12	yes	complemented
318	#14556564	C₂³	1	12	yes	complemented
319	#14556563	C₂³	1	2	yes	—
320	#14556563	C₂³	1	6	yes	complemented
321	#14556563	C₂³	1	12	yes	complemented
322	#14556563	C₂³	1	12	yes	complemented
323	#14556563	C₂³	1	12	yes	complemented
324	#14556562	C₂³	1	1	yes	characteristic
325	#14556562	C₂³	1	3	yes	complemented
326	#14556562	C₂³	1	6	yes	complemented
327	#14556562	C₂³	1	12	yes	complemented
328	#14556561	C₂³	1	6	yes	—
329	#14556561	C₂³	1	6	yes	—
330	#14556561	C₂³	1	6	yes	—
331	#14556560	C₂³	1	6	yes	—
332	#14556559	C₂³	1	6	yes	—
333	#14556559	C₂³	1	6	yes	—
334	#14556559	C₂³	1	6	yes	—
335	Q₈×Dic₇₃	C₂³	1	2	yes	complemented
336	C₄×Dic₁₄₆	C₂³	1	6	yes	complemented
337	#14556556	C₂³	1	6	yes	complemented
338	C₄×D₂₉₂	C₂³	1	6	yes	—
339	C₄×D₂₉₂	C₂³	1	6	yes	complemented
340	C₄×D₂₉₂	C₂³	1	6	yes	complemented
341	D₄×Dic₇₃	C₂³	1	6	yes	—
342	D₄×Dic₇₃	C₂³	1	6	yes	complemented
343	D₄×Dic₇₃	C₂³	1	6	yes	complemented
344	#14556553	C₂³	1	6	yes	—
345	#14556553	C₂³	1	6	yes	complemented
346	#14556553	C₂³	1	6	yes	complemented
347	C₄×C₂²⋊D₇₃	C₂³	1	6	yes	—
348	C₄×C₂²⋊D₇₃	C₂³	1	6	yes	—
349	C₄×C₂²⋊D₇₃	C₂³	1	12	yes	complemented
350	C₄×C₂²⋊D₇₃	C₂³	1	6	yes	complemented
351	C₄×C₂²⋊D₇₃	C₂³	1	6	yes	complemented
352	#14556551	C₂³	1	6	yes	—
353	#14556551	C₂³	1	6	yes	—
354	#14556551	C₂³	1	12	yes	complemented
355	#14556551	C₂³	1	6	yes	complemented
356	#14556551	C₂³	1	6	yes	complemented
357	#14556550	C₂³	1	3	yes	complemented
358	#14556549	C₂³	1	3	yes	complemented
359	#14556549	C₂³	1	3	yes	complemented
360	#14556548	C₂³	1	6	yes	complemented
361	#14556547	C₂³	1	6	yes	complemented
362	C₂×C₄⋊Dic₇₃	C₂³	1	3	yes	complemented
363	C₂×C₄⋊Dic₇₃	C₂³	1	6	yes	complemented
364	C₂×#11924007	C₂³	1	6	yes	complemented
365	C₂×#11924007	C₂³	1	6	yes	complemented
366	C₂×#11924007	C₂³	1	6	yes	complemented
367	C₄⋊C₄×D₇₃	C₂³	1	6	yes	—
368	C₄⋊C₄×D₇₃	C₂³	1	12	yes	—
369	C₄⋊C₄×D₇₃	C₂³	1	3	yes	—
370	C₄⋊C₄×D₇₃	C₂³	1	6	yes	—
371	C₄⋊C₄×D₇₃	C₂³	1	6	yes	—
372	C₄⋊C₄×D₇₃	C₂³	1	1	yes	characteristic
373	C₄⋊C₄×D₇₃	C₂³	1	6	yes	complemented
374	C₄⋊C₄×D₇₃	C₂³	1	6	yes	complemented
375	C₄⋊C₄×D₇₃	C₂³	1	12	yes	complemented
376	C₄⋊C₄×D₇₃	C₂³	1	12	yes	complemented
377	C₂×C₂²⋊Dic₇₃	C₂³	1	6	yes	—
378	C₂×#11924005	C₂³	1	6	yes	—
379	C₂×#11924005	C₂³	1	6	yes	—
380	C₂²⋊C₄×D₇₃	C₂³	1	12	yes	—
381	C₂²⋊C₄×D₇₃	C₂³	1	12	yes	—
382	C₂²⋊C₄×D₇₃	C₂³	1	6	yes	—
383	C₂²⋊C₄×D₇₃	C₂³	1	12	yes	—
384	C₂²⋊C₄×D₇₃	C₂³	1	6	yes	—
385	C₂²⋊C₄×D₇₃	C₂³	1	6	yes	—
386	C₂²⋊C₄×D₇₃	C₂³	1	2	yes	—
387	C₂²⋊C₄×D₇₃	C₂³	1	6	yes	—
388	C₄²×D₇₃	C₂³	1	6	yes	—
389	2₋¹⁺⁴×C₇₃	—	2	8	no	—
390	C₂×#41×C₇₃	—	2	8	no	—
391	C₂×#41×C₇₃	C₂³	1	3	yes	—
392	C₂×#41×C₇₃	C₂³	1	3	yes	—
393	C₂×#41×C₇₃	C₂³	1	1	yes	characteristic
394	C₂×#41×C₇₃	C₂³	1	1	yes	characteristic
395	C₂×#41×C₇₃	C₂³	1	3	yes	complemented
396	C₂×#41×C₇₃	C₂³	1	6	yes	complemented
397	C₂²×Q₈×C₇₃	C₂³	1	1	yes	characteristic
398	C₂²×Q₈×C₇₃	C₂³	1	3	yes	complemented
399	C₂²×Q₈×C₇₃	C₂³	1	2	yes	complemented
400	C₂²×D₄×C₇₃	C₂³	1	3	yes	—
401	C₂³×C₄×C₇₃	C₂³	1	3	yes	—
402	C₄⋊Q₈×C₇₃	C₂³	1	6	yes	complemented
403	#124×C₇₃	C₂³	1	6	yes	complemented
404	#123×C₇₃	C₂³	1	12	yes	complemented
405	#123×C₇₃	C₂³	1	6	yes	complemented
406	C₂²⋊Q₈×C₇₃	C₂³	1	6	yes	—
407	C₂²⋊Q₈×C₇₃	C₂³	1	3	yes	—
408	C₂²⋊Q₈×C₇₃	C₂³	1	3	yes	complemented
409	C₂²⋊Q₈×C₇₃	C₂³	1	6	yes	complemented
410	C₂²⋊Q₈×C₇₃	C₂³	1	6	yes	complemented
411	C₂²⋊Q₈×C₇₃	C₂³	1	6	yes	complemented
412	#121×C₇₃	C₂³	1	1	yes	characteristic
413	#121×C₇₃	C₂³	1	12	yes	complemented
414	#121×C₇₃	C₂³	1	3	yes	complemented
415	#121×C₇₃	C₂³	1	6	yes	complemented
416	#120×C₇₃	C₂³	1	6	yes	—
417	C₄×Q₈×C₇₃	C₂³	1	2	yes	complemented
418	C₄×D₄×C₇₃	C₂³	1	6	yes	—
419	C₄×D₄×C₇₃	C₂³	1	6	yes	complemented
420	C₄×D₄×C₇₃	C₂³	1	6	yes	complemented
421	#117×C₇₃	C₂³	1	3	yes	complemented
422	C₂×C₄⋊C₄×C₇₃	C₂³	1	3	yes	complemented
423	C₂×C₄⋊C₄×C₇₃	C₂³	1	6	yes	complemented
424	C₂×C₂²⋊C₄×C₇₃	C₂³	1	6	yes	—
425	C₂³×D₇₃	—	2	12	no	—
426	C₂³×D₇₃	—	2	12	no	—
427	C₂³×D₇₃	—	4	6	no	—
428	C₂³×D₇₃	C₂⁴	1	3	yes	—
429	C₂³×D₇₃	C₂⁴	1	2	yes	—
430	C₂³×D₇₃	C₂⁴	1	3	yes	—
431	C₂³×D₇₃	C₂⁴	1	3	yes	—
432	C₂³×D₇₃	C₂⁴	1	3	yes	—
433	C₂³×D₇₃	C₂⁴	1	3	yes	—
434	C₂³×D₇₃	C₂⁴	1	1	yes	characteristic
435	#11924029	—	2	4	no	—
436	#11924029	—	2	12	no	—
437	#11924029	—	2	24	no	—
438	#11924029	—	2	12	no	—
439	#11924029	—	2	12	no	—
440	#11924029	C₂×D₄	1	8	yes	complemented
441	#11924028	—	2	12	no	—
442	#11924028	—	2	12	no	—
443	#11924028	—	2	24	no	—
444	#11924028	—	2	48	no	—
445	#11924028	—	2	12	no	—
446	#11924028	—	2	24	no	—
447	#11924028	—	2	24	no	—
448	#11924028	—	2	24	no	—
449	#11924028	—	2	12	no	—
450	#11924028	C₂×D₄	1	24	yes	complemented
451	#11924027	—	2	12	no	—
452	#11924027	—	2	24	no	—
453	#11924027	—	2	24	no	—
454	#11924027	—	2	48	no	—
455	#11924027	—	2	24	no	—
456	#11924027	—	2	24	no	—
457	#11924027	—	2	12	no	—
458	#11924027	—	2	12	no	—
459	#11924027	—	2	12	no	—
460	#11924027	C₂×D₄	1	24	yes	complemented
461	C₂×Dic₁₄₆	—	2	12	no	—
462	C₂×Dic₁₄₆	—	2	24	no	—
463	C₂×Dic₁₄₆	—	2	12	no	—
464	C₂×Dic₁₄₆	—	2	24	no	—
465	C₂×Dic₁₄₆	C₂⁴	1	6	yes	—
466	C₂×Dic₁₄₆	C₂⁴	1	12	yes	—
467	C₂×Dic₁₄₆	C₂⁴	1	6	yes	—
468	C₂×Dic₁₄₆	C₂⁴	1	3	yes	—
469	C₂×Dic₁₄₆	C₂⁴	1	6	yes	—
470	C₂×Dic₁₄₆	C₂⁴	1	3	yes	—
471	C₂×Dic₁₄₆	C₂⁴	1	3	yes	—
472	Q₈×D₇₃	—	2	4	no	—
473	Q₈×D₇₃	—	2	8	no	—
474	Q₈×D₇₃	—	2	12	no	—
475	Q₈×D₇₃	—	2	24	no	—
476	Q₈×D₇₃	—	2	12	no	—
477	Q₈×D₇₃	—	2	24	no	—
478	Q₈×D₇₃	—	2	24	no	—
479	Q₈×D₇₃	—	2	12	no	—
480	Q₈×D₇₃	—	2	24	no	—
481	Q₈×D₇₃	C₂×D₄	1	8	yes	—
482	C₂×D₂₉₂	—	2	12	no	—
483	C₂×D₂₉₂	C₂⁴	1	2	yes	—
484	C₂×D₂₉₂	C₂⁴	1	6	yes	—
485	C₂×D₂₉₂	C₂⁴	1	6	yes	—
486	C₂×D₂₉₂	C₂⁴	1	1	yes	characteristic
487	C₂×D₂₉₂	C₂⁴	1	3	yes	—
488	C₂×D₂₉₂	C₂⁴	1	6	yes	—
489	C₂×D₂₉₂	C₂⁴	1	3	yes	—
490	C₂×C₂²⋊D₇₃	—	2	24	no	—
491	C₂×C₂²⋊D₇₃	C₂⁴	1	2	yes	—
492	C₂×C₂²⋊D₇₃	C₂⁴	1	2	yes	—
493	C₂×C₂²⋊D₇₃	C₂⁴	1	6	yes	—
494	C₂×C₂²⋊D₇₃	C₂⁴	1	6	yes	—
495	C₂×C₂²⋊D₇₃	C₂⁴	1	6	yes	—
496	C₂×C₂²⋊D₇₃	C₂⁴	1	2	yes	—
497	C₂×C₂²⋊D₇₃	C₂⁴	1	6	yes	—
498	C₂×C₂²⋊D₇₃	C₂⁴	1	6	yes	—
499	C₂×C₂²⋊D₇₃	C₂⁴	1	6	yes	—
500	C₂×C₂²⋊D₇₃	C₂⁴	1	6	yes	—
501	C₂×C₂²⋊D₇₃	C₂⁴	1	6	yes	—
502	D₄×D₇₃	—	2	24	no	—
503	D₄×D₇₃	—	2	24	no	—
504	D₄×D₇₃	—	2	8	no	—
505	D₄×D₇₃	—	2	12	no	—
506	D₄×D₇₃	—	2	24	no	—
507	D₄×D₇₃	—	2	12	no	—
508	D₄×D₇₃	—	2	12	no	—
509	D₄×D₇₃	—	2	4	no	—
510	D₄×D₇₃	—	4	12	no	—
511	D₄×D₇₃	C₂×D₄	1	24	yes	—
512	C₂²×Dic₇₃	—	2	12	no	—
513	C₂²×Dic₇₃	C₂⁴	1	6	yes	—
514	C₂²×Dic₇₃	C₂⁴	1	3	yes	—
515	C₂²×Dic₇₃	C₂⁴	1	3	yes	—
516	C₂²×Dic₇₃	C₂⁴	1	6	yes	—
517	C₂²×Dic₇₃	C₂⁴	1	3	yes	—
518	C₂²×Dic₇₃	C₂⁴	1	1	yes	characteristic
519	C₂²×Dic₇₃	C₂⁴	1	3	yes	—
520	C₂²×Dic₇₃	C₂⁴	1	6	yes	—
521	C₂²×Dic₇₃	C₂⁴	1	3	yes	—
522	C₂×C₄×D₇₃	—	2	12	no	—
523	C₂×C₄×D₇₃	—	2	24	no	—
524	C₂×C₄×D₇₃	—	2	12	no	—
525	C₂×C₄×D₇₃	—	2	12	no	—
526	C₂×C₄×D₇₃	—	2	4	no	—
527	C₂×C₄×D₇₃	—	2	12	no	—
528	C₂×C₄×D₇₃	—	2	12	no	—
529	C₂×C₄×D₇₃	—	2	12	no	—
530	C₂×C₄×D₇₃	—	2	12	no	—
531	C₂×C₄×D₇₃	—	2	12	no	—
532	C₂×C₄×D₇₃	—	2	12	no	—
533	C₂×C₄×D₇₃	—	2	12	no	—
534	C₂×C₄×D₇₃	—	2	24	no	—
535	C₂×C₄×D₇₃	—	4	12	no	—
536	C₂×C₄×D₇₃	C₂×D₄	1	24	yes	—
537	C₂×C₄×D₇₃	C₂⁴	1	2	yes	—
538	C₂×C₄×D₇₃	C₂⁴	1	6	yes	—
539	C₂×C₄×D₇₃	C₂⁴	1	6	yes	—
540	C₂×C₄×D₇₃	C₂⁴	1	1	yes	characteristic
541	C₂×C₄×D₇₃	C₂⁴	1	3	yes	—
542	C₂×C₄×D₇₃	C₂⁴	1	12	yes	—
543	C₂×C₄×D₇₃	C₂⁴	1	3	yes	—
544	C₂×C₄×D₇₃	C₂⁴	1	3	yes	—
545	C₂×C₄×D₇₃	C₂⁴	1	3	yes	—
546	C₂×C₄×D₇₃	C₂⁴	1	6	yes	—
547	C₂×C₄×D₇₃	C₂⁴	1	3	yes	—
548	C₂×C₄×D₇₃	C₂⁴	1	3	yes	—
549	C₂×C₄×D₇₃	C₂⁴	1	6	yes	—
550	C₂×C₄×D₇₃	C₂⁴	1	3	yes	—
551	C₂×C₄×D₇₃	C₂⁴	1	1	yes	characteristic
552	C₂×C₄×D₇₃	C₂⁴	1	3	yes	—
553	C₂×C₄×D₇₃	C₂⁴	1	1	yes	characteristic
554	C₂×C₄×D₇₃	C₂⁴	1	3	yes	—
555	C₂×C₄×D₇₃	C₂⁴	1	12	yes	—
556	C₂×C₄×D₇₃	C₂⁴	1	3	yes	—
557	C₂×C₄×D₇₃	C₂⁴	1	1	yes	characteristic
558	C₂×C₄×D₇₃	C₂⁴	1	3	yes	—
559	C₂×C₄×D₇₃	C₂⁴	1	3	yes	—
560	C₄⋊Dic₇₃	C₂⁴	1	3	yes	—
561	C₄⋊Dic₇₃	C₂⁴	1	6	yes	—
562	C₄⋊Dic₇₃	C₂⁴	1	6	yes	—
563	C₄⋊Dic₇₃	C₂⁴	1	12	yes	—
564	C₄⋊Dic₇₃	C₂⁴	1	1	yes	characteristic
565	C₄⋊Dic₇₃	C₂⁴	1	6	yes	—
566	#11924007	C₂⁴	1	6	yes	—
567	#11924007	C₂⁴	1	6	yes	—
568	#11924007	C₂⁴	1	6	yes	—
569	#11924007	C₂⁴	1	12	yes	—
570	#11924007	C₂⁴	1	12	yes	—
571	#11924007	C₂⁴	1	12	yes	—
572	#11924007	C₂⁴	1	2	yes	—
573	#11924007	C₂⁴	1	6	yes	—
574	#11924007	C₂⁴	1	6	yes	—
575	C₂²⋊Dic₇₃	C₂⁴	1	6	yes	—
576	C₂²⋊Dic₇₃	C₂⁴	1	12	yes	—
577	C₂²⋊Dic₇₃	C₂⁴	1	6	yes	—
578	C₂²⋊Dic₇₃	C₂⁴	1	6	yes	—
579	C₂²⋊Dic₇₃	C₂⁴	1	2	yes	—
580	C₂²⋊Dic₇₃	C₂⁴	1	6	yes	—
581	#11924005	C₂⁴	1	6	yes	—
582	#11924005	C₂⁴	1	6	yes	—
583	#11924005	C₂⁴	1	12	yes	—
584	#11924005	C₂⁴	1	12	yes	—
585	#11924005	C₂⁴	1	6	yes	—
586	#11924005	C₂⁴	1	6	yes	—
587	#11924005	C₂⁴	1	6	yes	—
588	#11924005	C₂⁴	1	2	yes	—
589	#11924005	C₂⁴	1	6	yes	—
590	#11924005	C₂⁴	1	6	yes	—
591	#11924005	C₂⁴	1	2	yes	—
592	#11924005	C₂⁴	1	6	yes	—
593	C₄×Dic₇₃	C₂⁴	1	6	yes	—
594	C₄×Dic₇₃	C₂⁴	1	6	yes	—
595	C₄×Dic₇₃	C₂⁴	1	6	yes	—
596	C₂⁴×C₇₃	C₂⁴	1	3	yes	—
597	#41×C₇₃	—	2	4	no	—
598	#41×C₇₃	—	2	12	no	—
599	#41×C₇₃	—	2	24	no	—
600	#41×C₇₃	—	2	12	no	—
601	#41×C₇₃	—	2	12	no	—
602	#41×C₇₃	C₂×D₄	1	8	yes	complemented
603	C₂×Q₈×C₇₃	—	2	4	no	—
604	C₂×Q₈×C₇₃	—	2	8	no	—
605	C₂×Q₈×C₇₃	—	2	12	no	—
606	C₂×Q₈×C₇₃	C₂⁴	1	3	yes	—
607	C₂×Q₈×C₇₃	C₂⁴	1	6	yes	—
608	C₂×Q₈×C₇₃	C₂⁴	1	3	yes	—
609	C₂×Q₈×C₇₃	C₂⁴	1	1	yes	characteristic
610	C₂×D₄×C₇₃	—	2	12	no	—
611	C₂×D₄×C₇₃	C₂⁴	1	2	yes	—
612	C₂×D₄×C₇₃	C₂⁴	1	6	yes	—
613	C₂×D₄×C₇₃	C₂⁴	1	1	yes	characteristic
614	C₂×D₄×C₇₃	C₂⁴	1	6	yes	—
615	C₂×D₄×C₇₃	C₂⁴	1	3	yes	—
616	C₂×D₄×C₇₃	C₂⁴	1	6	yes	—
617	C₂×D₄×C₇₃	C₂⁴	1	3	yes	—
618	C₂²×C₄×C₇₃	—	2	12	no	—
619	C₂²×C₄×C₇₃	C₂⁴	1	6	yes	—
620	C₂²×C₄×C₇₃	C₂⁴	1	3	yes	—
621	C₂²×C₄×C₇₃	C₂⁴	1	3	yes	—
622	C₂²×C₄×C₇₃	C₂⁴	1	6	yes	—
623	C₂²×C₄×C₇₃	C₂⁴	1	3	yes	—
624	C₂²×C₄×C₇₃	C₂⁴	1	1	yes	characteristic
625	C₂²×C₄×C₇₃	C₂⁴	1	3	yes	—
626	C₂²×C₄×C₇₃	C₂⁴	1	6	yes	—
627	C₂²×C₄×C₇₃	C₂⁴	1	3	yes	—
628	C₄⋊C₄×C₇₃	C₂⁴	1	3	yes	—
629	C₄⋊C₄×C₇₃	C₂⁴	1	6	yes	—
630	C₄⋊C₄×C₇₃	C₂⁴	1	6	yes	—
631	C₄⋊C₄×C₇₃	C₂⁴	1	12	yes	—
632	C₄⋊C₄×C₇₃	C₂⁴	1	1	yes	characteristic
633	C₄⋊C₄×C₇₃	C₂⁴	1	6	yes	—
634	C₂²⋊C₄×C₇₃	C₂⁴	1	6	yes	—
635	C₂²⋊C₄×C₇₃	C₂⁴	1	12	yes	—
636	C₂²⋊C₄×C₇₃	C₂⁴	1	6	yes	—
637	C₂²⋊C₄×C₇₃	C₂⁴	1	6	yes	—
638	C₂²⋊C₄×C₇₃	C₂⁴	1	2	yes	—
639	C₂²⋊C₄×C₇₃	C₂⁴	1	6	yes	—
640	C₄²×C₇₃	C₂⁴	1	6	yes	—
641	C₂³×C₇₃	—	2	6	no	—
642	C₂³×C₇₃	—	2	6	no	—
643	C₂³×C₇₃	—	4	3	no	—
644	C₂³×C₇₃	C₂⁵	1	3	yes	—
645	C₂³×C₇₃	C₂⁵	1	2	yes	—
646	C₂³×C₇₃	C₂⁵	1	3	yes	—
647	C₂³×C₇₃	C₂⁵	1	1	yes	characteristic
648	C₂²×D₇₃	—	2	2	no	—
649	C₂²×D₇₃	—	2	6	no	—
650	C₂²×D₇₃	—	2	6	no	—
651	C₂²×D₇₃	—	2	2	no	—
652	C₂²×D₇₃	—	2	6	no	—
653	C₂²×D₇₃	—	2	6	no	—
654	C₂²×D₇₃	—	2	4	no	—
655	C₂²×D₇₃	—	2	6	no	—
656	C₂²×D₇₃	—	2	6	no	—
657	C₂²×D₇₃	—	2	6	no	—
658	C₂²×D₇₃	—	2	4	no	—
659	C₂²×D₇₃	—	2	6	no	—
660	C₂²×D₇₃	—	2	6	no	—
661	C₂²×D₇₃	—	2	6	no	—
662	C₂²×D₇₃	—	2	4	no	—
663	C₂²×D₇₃	—	2	6	no	—
664	C₂²×D₇₃	—	4	3	no	—
665	C₂²×D₇₃	—	4	3	no	—
666	C₂²×D₇₃	—	4	3	no	—
667	C₂²×D₇₃	—	4	48	no	—
668	C₂²×D₇₃	C₂²×D₄	1	12	yes	—
669	C₂²×D₇₃	2₋¹⁺⁴	1	4	yes	complemented
670	C₂²×D₇₃	C₂⁵	1	3	yes	—
671	C₂²×D₇₃	C₂⁵	1	2	yes	—
672	C₂²×D₇₃	C₂⁵	1	3	yes	—
673	C₂²×D₇₃	C₂⁵	1	1	yes	characteristic
674	C₂²×D₇₃	C₂⁵	1	1	yes	characteristic
675	Q₈×C₇₃	—	2	12	no	—
676	Q₈×C₇₃	—	2	6	no	—
677	Q₈×C₇₃	—	2	6	no	—
678	Q₈×C₇₃	C₂²×D₄	1	4	yes	—
679	D₄×C₇₃	—	2	12	no	—
680	D₄×C₇₃	—	2	12	no	—
681	D₄×C₇₃	—	2	4	no	—
682	D₄×C₇₃	—	2	6	no	—
683	D₄×C₇₃	—	2	2	no	—
684	D₄×C₇₃	—	4	6	no	—
685	D₄×C₇₃	C₂²×D₄	1	12	yes	—
686	C₂×C₄×C₇₃	—	2	6	no	—
687	C₂×C₄×C₇₃	—	2	12	no	—
688	C₂×C₄×C₇₃	—	2	2	no	—
689	C₂×C₄×C₇₃	—	2	6	no	—
690	C₂×C₄×C₇₃	—	2	6	no	—
691	C₂×C₄×C₇₃	—	2	6	no	—
692	C₂×C₄×C₇₃	—	2	12	no	—
693	C₂×C₄×C₇₃	—	4	6	no	—
694	C₂×C₄×C₇₃	C₂²×D₄	1	12	yes	—
695	C₂×C₄×C₇₃	C₂⁵	1	2	yes	—
696	C₂×C₄×C₇₃	C₂⁵	1	6	yes	—
697	C₂×C₄×C₇₃	C₂⁵	1	6	yes	—
698	C₂×C₄×C₇₃	C₂⁵	1	1	yes	characteristic
699	C₂×C₄×C₇₃	C₂⁵	1	3	yes	—
700	C₂×C₄×C₇₃	C₂⁵	1	3	yes	—
701	C₂×C₄×C₇₃	C₂⁵	1	1	yes	characteristic
702	C₂²⋊D₇₃	—	2	12	no	—
703	C₂²⋊D₇₃	—	2	12	no	—
704	C₂²⋊D₇₃	—	2	4	no	—
705	C₂²⋊D₇₃	—	2	12	no	—
706	C₂²⋊D₇₃	—	2	12	no	—
707	C₂²⋊D₇₃	—	2	4	no	—
708	C₂²⋊D₇₃	—	2	12	no	—
709	C₂²⋊D₇₃	—	2	4	no	—
710	C₂²⋊D₇₃	—	4	6	no	—
711	C₂²⋊D₇₃	—	4	6	no	—
712	C₂²⋊D₇₃	C₂²×D₄	1	24	yes	—
713	C₂×Dic₇₃	—	2	6	no	—
714	C₂×Dic₇₃	—	2	12	no	—
715	C₂×Dic₇₃	—	2	2	no	—
716	C₂×Dic₇₃	—	2	6	no	—
717	C₂×Dic₇₃	—	2	6	no	—
718	C₂×Dic₇₃	—	2	6	no	—
719	C₂×Dic₇₃	—	2	12	no	—
720	C₂×Dic₇₃	—	4	6	no	—
721	C₂×Dic₇₃	C₂²×D₄	1	12	yes	—
722	C₂×Dic₇₃	C₂⁵	1	2	yes	—
723	C₂×Dic₇₃	C₂⁵	1	6	yes	—
724	C₂×Dic₇₃	C₂⁵	1	6	yes	—
725	C₂×Dic₇₃	C₂⁵	1	1	yes	characteristic
726	C₂×Dic₇₃	C₂⁵	1	3	yes	—
727	C₂×Dic₇₃	C₂⁵	1	3	yes	—
728	C₂×Dic₇₃	C₂⁵	1	1	yes	characteristic
729	D₂₉₂	—	2	12	no	—
730	D₂₉₂	—	2	12	no	—
731	D₂₉₂	—	2	4	no	—
732	D₂₉₂	—	2	6	no	—
733	D₂₉₂	—	2	2	no	—
734	D₂₉₂	—	4	6	no	—
735	D₂₉₂	C₂²×D₄	1	12	yes	—
736	C₄×D₇₃	—	2	2	no	—
737	C₄×D₇₃	—	2	6	no	—
738	C₄×D₇₃	—	2	12	no	—
739	C₄×D₇₃	—	2	6	no	—
740	C₄×D₇₃	—	2	6	no	—
741	C₄×D₇₃	—	2	24	no	—
742	C₄×D₇₃	—	2	4	no	—
743	C₄×D₇₃	—	2	12	no	—
744	C₄×D₇₃	—	2	2	no	—
745	C₄×D₇₃	—	2	6	no	—
746	C₄×D₇₃	—	2	6	no	—
747	C₄×D₇₃	—	2	6	no	—
748	C₄×D₇₃	—	2	12	no	—
749	C₄×D₇₃	—	2	2	no	—
750	C₄×D₇₃	—	2	6	no	—
751	C₄×D₇₃	—	2	6	no	—
752	C₄×D₇₃	—	2	6	no	—
753	C₄×D₇₃	—	2	12	no	—
754	C₄×D₇₃	—	4	12	no	—
755	C₄×D₇₃	C₂²×D₄	1	4	yes	—
756	C₄×D₇₃	C₂²×D₄	1	12	yes	—
757	C₄×D₇₃	C₂²×D₄	1	12	yes	—
758	C₄×D₇₃	C₂²×D₄	1	12	yes	—
759	Dic₁₄₆	—	2	12	no	—
760	Dic₁₄₆	—	2	6	no	—
761	Dic₁₄₆	—	2	6	no	—
762	Dic₁₄₆	—	2	24	no	—
763	Dic₁₄₆	—	2	12	no	—
764	Dic₁₄₆	—	2	12	no	—
765	Dic₁₄₆	C₂²×D₄	1	12	yes	—
766	C₂²×C₇₃	—	2	1	no	—
767	C₂²×C₇₃	—	2	3	no	—
768	C₂²×C₇₃	—	2	3	no	—
769	C₂²×C₇₃	—	2	1	no	—
770	C₂²×C₇₃	—	2	2	no	—
771	C₂²×C₇₃	—	2	3	no	—
772	C₂²×C₇₃	—	2	2	no	—
773	C₂²×C₇₃	—	2	3	no	—
774	C₂²×C₇₃	—	2	2	no	—
775	C₂²×C₇₃	—	2	3	no	—
776	C₂²×C₇₃	—	4	12	no	—
777	C₂²×C₇₃	C₂³×D₄	1	6	yes	—
778	C₂²×C₇₃	C₂×2₋¹⁺⁴	1	2	yes	complemented
779	C₂²×C₇₃	C₂⁶	1	1	yes	characteristic
780	C₂×D₇₃	—	2	1	no	—
781	C₂×D₇₃	—	2	3	no	—
782	C₂×D₇₃	—	2	3	no	—
783	C₂×D₇₃	—	2	1	no	—
784	C₂×D₇₃	—	2	8	no	—
785	C₂×D₇₃	—	2	24	no	—
786	C₂×D₇₃	—	2	2	no	—
787	C₂×D₇₃	—	2	3	no	—
788	C₂×D₇₃	—	2	2	no	—
789	C₂×D₇₃	—	2	3	no	—
790	C₂×D₇₃	—	2	2	no	—
791	C₂×D₇₃	—	2	3	no	—
792	C₂×D₇₃	—	4	12	no	—
793	C₂×D₇₃	—	4	12	no	—
794	C₂×D₇₃	—	4	12	no	—
795	C₂×D₇₃	—	4	8	no	—
796	C₂×D₇₃	—	4	12	no	—
797	C₂×D₇₃	C₂³×D₄	1	6	yes	—
798	C₂×D₇₃	C₂³×D₄	1	2	yes	—
799	C₂×D₇₃	C₂×2₋¹⁺⁴	1	2	yes	—
800	C₂×D₇₃	C₂×2₋¹⁺⁴	1	2	yes	complemented
801	C₂×D₇₃	#585	1	2	yes	—
802	C₄×C₇₃	—	2	6	no	—
803	C₄×C₇₃	—	2	3	no	—
804	C₄×C₇₃	—	2	1	no	—
805	C₄×C₇₃	—	2	2	no	—
806	C₄×C₇₃	—	2	6	no	—
807	C₄×C₇₃	C₂³×D₄	1	6	yes	—
808	C₄×C₇₃	C₂³×D₄	1	2	yes	—
809	Dic₇₃	—	2	6	no	—
810	Dic₇₃	—	2	3	no	—
811	Dic₇₃	—	2	1	no	—
812	Dic₇₃	—	2	2	no	—
813	Dic₇₃	—	2	6	no	—
814	Dic₇₃	C₂³×D₄	1	6	yes	—
815	Dic₇₃	C₂³×D₄	1	2	yes	—
816	C₂×#3489	—	73	1	no	maximal, Sylow
817	C₂×C₇₃	—	2	2	no	—
818	C₂×C₇₃	—	2	6	no	—
819	C₂×C₇₃	—	4	3	no	—
820	C₂×C₇₃	—	4	2	no	—
821	C₂×C₇₃	C₂⁴×D₄	1	1	yes	characteristic
822	C₂×C₇₃	C₂²×2₋¹⁺⁴	1	1	yes	characteristic
823	C₂×C₇₃	C₂×#585	1	1	yes	characteristic
824	D₇₃	—	2	2	no	—
825	D₇₃	—	2	6	no	—
826	D₇₃	—	4	2	no	—
827	D₇₃	—	4	3	no	—
828	D₇₃	#3489	1	4	yes	direct product factor
829	C₂²×2₋¹⁺⁴	—	73	1	no	—
830	C₂³×#41	—	73	1	no	—
831	#3489	—	73	1	no	—
832	#3489	—	73	1	no	—
833	#3489	—	73	2	no	—
834	#3489	—	73	2	no	—
835	#3489	—	73	6	no	—
836	#3489	—	73	6	no	—
837	#3489	—	73	3	no	—
838	#3489	—	73	3	no	—
839	#3489	—	73	3	no	—
840	#3489	—	73	3	no	—
841	#3489	—	73	1	no	—
842	#3489	D₇₃	1	1	yes	characteristic, direct product factor
843	C₂×D₄×Q₈	—	73	2	no	—
844	C₂×#548	—	73	2	no	—
845	C₂×#547	—	73	6	no	—
846	C₂×#546	—	73	6	no	—
847	C₂×#537	—	73	3	no	—
848	C₂×#536	—	73	3	no	—
849	C₂×#525	—	73	3	no	—
850	C₂²×C₂²⋊Q₈	—	73	3	no	—
851	C₂×#520	—	73	1	no	—
852	C₇₃	C₂×#3489	1	1	yes	characteristic, complemented, Sylow
853	C₂×2₋¹⁺⁴	—	73	1	no	—
854	C₂×2₋¹⁺⁴	—	73	3	no	—
855	C₂×2₋¹⁺⁴	—	73	6	no	—
856	C₂×2₋¹⁺⁴	—	73	2	no	—
857	C₂×2₋¹⁺⁴	—	73	3	no	—
858	C₂×2₋¹⁺⁴	—	146	16	no	—
859	C₂×2₋¹⁺⁴	C₂×D₇₃	1	1	yes	characteristic, complemented
860	C₂²×#41	—	73	1	no	—
861	C₂²×#41	—	73	3	no	—
862	C₂²×#41	—	73	3	no	—
863	C₂²×#41	—	73	1	no	—
864	C₂²×#41	—	73	1	no	—
865	C₂²×#41	—	73	3	no	—
866	C₂²×#41	—	73	3	no	—
867	C₂²×#41	—	73	1	no	—
868	C₂²×#41	—	73	3	no	—
869	C₂²×#41	—	73	6	no	—
870	C₂²×#41	—	73	1	no	—
871	C₂²×#41	—	73	3	no	—
872	C₂²×#41	—	73	3	no	—
873	C₂²×#41	—	146	16	no	—
874	C₂²×#41	C₂×D₇₃	1	1	yes	characteristic, complemented
875	C₂³×Q₈	—	73	1	no	—
876	C₂³×Q₈	—	73	3	no	—
877	C₂³×Q₈	—	73	2	no	—
878	C₂³×D₄	—	73	3	no	—
879	C₂⁴×C₄	—	73	3	no	—
880	D₄×Q₈	—	73	2	no	—
881	D₄×Q₈	—	73	2	no	—
882	D₄×Q₈	—	73	6	no	—
883	D₄×Q₈	—	73	6	no	—
884	D₄×Q₈	—	73	6	no	—
885	D₄×Q₈	—	73	2	no	—
886	D₄×Q₈	—	73	6	no	—
887	D₄×Q₈	C₂×D₇₃	1	2	yes	complemented
888	#548	—	73	2	no	—
889	#548	—	73	2	no	—
890	#548	—	73	6	no	—
891	#548	—	73	6	no	—
892	#548	—	73	6	no	—
893	#548	—	73	2	no	—
894	#548	—	73	6	no	—
895	#548	C₂×D₇₃	1	2	yes	complemented
896	#547	—	73	6	no	—
897	#547	—	73	6	no	—
898	#547	—	73	6	no	—
899	#547	—	73	12	no	—
900	#547	—	73	12	no	—
901	#547	—	73	6	no	—
902	#547	—	73	6	no	—
903	#547	—	73	12	no	—
904	#547	—	73	6	no	—
905	#547	—	73	6	no	—
906	#547	—	73	12	no	—
907	#547	C₂×D₇₃	1	6	yes	complemented
908	#546	—	73	6	no	—
909	#546	—	73	6	no	—
910	#546	—	73	6	no	—
911	#546	—	73	12	no	—
912	#546	—	73	6	no	—
913	#546	—	73	12	no	—
914	#546	—	73	6	no	—
915	#546	—	73	12	no	—
916	#546	—	73	6	no	—
917	#546	—	73	6	no	—
918	#546	—	73	12	no	—
919	#546	C₂×D₇₃	1	6	yes	complemented
920	#537	—	73	3	no	—
921	#537	—	73	3	no	—
922	#537	—	73	6	no	—
923	#537	—	73	6	no	—
924	#537	—	73	12	no	—
925	#537	—	73	6	no	—
926	#537	—	73	6	no	—
927	#537	—	73	3	no	—
928	#537	C₂×D₇₃	1	3	yes	complemented
929	#536	—	73	3	no	—
930	#536	—	73	3	no	—
931	#536	—	73	6	no	—
932	#536	—	73	6	no	—
933	#536	—	73	12	no	—
934	#536	—	73	6	no	—
935	#536	—	73	6	no	—
936	#536	—	73	3	no	—
937	#536	C₂×D₇₃	1	3	yes	complemented
938	C₂×C₄⋊Q₈	—	73	6	no	—
939	C₂×#124	—	73	6	no	—
940	#525	—	73	3	no	—
941	#525	—	73	3	no	—
942	#525	—	73	6	no	—
943	#525	—	73	3	no	—
944	#525	—	73	3	no	—
945	#525	—	73	3	no	—
946	#525	—	73	3	no	—
947	#525	—	73	6	no	—
948	#525	—	73	6	no	—
949	#525	—	73	6	no	—
950	#525	—	73	3	no	—
951	#525	C₂×D₇₃	1	3	yes	complemented
952	C₂×#123	—	73	6	no	—
953	C₂×#123	—	73	12	no	—
954	C₂×C₂²⋊Q₈	—	73	3	no	—
955	C₂×C₂²⋊Q₈	—	73	3	no	—
956	C₂×C₂²⋊Q₈	—	73	3	no	—
957	C₂×C₂²⋊Q₈	—	73	6	no	—
958	C₂×C₂²⋊Q₈	—	73	6	no	—
959	C₂×C₂²⋊Q₈	—	73	6	no	—
960	C₂×C₂²⋊Q₈	—	73	6	no	—
961	C₂×C₂²⋊Q₈	—	73	6	no	—
962	C₂×C₂²⋊Q₈	—	73	6	no	—
963	C₂×C₂²⋊Q₈	—	73	6	no	—
964	C₂×C₂²⋊Q₈	—	73	3	no	—
965	C₂×C₂²⋊Q₈	—	73	6	no	—
966	C₂×C₂²⋊Q₈	—	73	6	no	—
967	C₂×C₂²⋊Q₈	—	73	3	no	—
968	C₂×C₂²⋊Q₈	—	73	6	no	—
969	C₂×C₂²⋊Q₈	C₂×D₇₃	1	3	yes	complemented
970	C₂×#121	—	73	1	no	—
971	C₂×#121	—	73	3	no	—
972	C₂×#121	—	73	12	no	—
973	C₂×#121	—	73	6	no	—
974	C₂×#120	—	73	6	no	—
975	#520	—	73	1	no	—
976	#520	—	73	2	no	—
977	#520	—	73	6	no	—
978	#520	—	73	3	no	—
979	#520	—	73	3	no	—
980	#520	C₂×D₇₃	1	1	yes	characteristic, complemented
981	C₂×C₄×Q₈	—	73	2	no	—
982	C₂×C₄×D₄	—	73	6	no	—
983	C₂×C₄×D₄	—	73	6	no	—
984	C₂×C₄×D₄	—	73	6	no	—
985	C₂×#117	—	73	3	no	—
986	C₂²×C₄⋊C₄	—	73	3	no	—
987	C₂²×C₄⋊C₄	—	73	6	no	—
988	C₂²×C₂²⋊C₄	—	73	6	no	—
989	C₂⁵	—	73	3	no	—
990	2₋¹⁺⁴	—	2	8	no	—
991	2₋¹⁺⁴	—	146	16	no	—
992	2₋¹⁺⁴	—	146	24	no	—
993	2₋¹⁺⁴	—	146	48	no	—
994	2₋¹⁺⁴	—	146	24	no	—
995	2₋¹⁺⁴	—	146	8	no	—
996	C₂×#41	—	2	8	no	—
997	C₂×#41	—	73	16	no	—
998	C₂×#41	—	73	1	no	—
999	C₂×#41	—	73	3	no	—
1000	C₂×#41	—	73	3	no	—
1001	C₂×#41	—	73	6	no	—
1002	C₂×#41	—	73	3	no	—
1003	C₂×#41	—	73	1	no	—
1004	C₂×#41	—	73	3	no	—
1005	C₂×#41	—	73	6	no	—
1006	C₂×#41	—	73	3	no	—
1007	C₂×#41	—	73	6	no	—
1008	C₂×#41	—	73	3	no	—
1009	C₂×#41	—	73	6	no	—
1010	C₂×#41	—	73	12	no	—
1011	C₂×#41	—	73	3	no	—
1012	C₂×#41	—	73	6	no	—
1013	C₂×#41	—	73	3	no	—
1014	C₂×#41	—	73	3	no	—
1015	C₂×#41	—	73	6	no	—
1016	C₂×#41	—	73	3	no	—
1017	C₂×#41	—	73	6	no	—
1018	C₂×#41	—	73	3	no	—
1019	C₂×#41	—	73	6	no	—
1020	C₂×#41	—	73	12	no	—
1021	C₂×#41	—	73	3	no	—
1022	C₂×#41	—	73	6	no	—
1023	C₂×#41	—	73	3	no	—
1024	C₂×#41	—	146	24	no	—
1025	C₂×#41	—	146	24	no	—
1026	C₂×#41	—	146	24	no	—
1027	C₂×#41	—	146	24	no	—
1028	C₂×#41	—	146	24	no	—
1029	C₂×#41	—	146	48	no	—
1030	C₂×#41	—	146	8	no	—
1031	C₂×#41	—	146	8	no	—
1032	C₂×#41	—	146	8	no	—
1033	C₂×#41	—	146	24	no	—
1034	C₂×#41	—	146	24	no	—
1035	C₂×#41	—	146	8	no	—
1036	C₂×#41	C₂²×D₇₃	1	3	yes	—
1037	C₂×#41	C₂²×D₇₃	1	3	yes	—
1038	C₂×#41	C₂²×D₇₃	1	1	yes	characteristic
1039	C₂×#41	C₂²×D₇₃	1	1	yes	characteristic
1040	C₂×#41	C₂²×D₇₃	1	3	yes	complemented
1041	C₂×#41	C₂²×D₇₃	1	6	yes	complemented
1042	C₂²×Q₈	—	73	1	no	—
1043	C₂²×Q₈	—	73	3	no	—
1044	C₂²×Q₈	—	73	6	no	—
1045	C₂²×Q₈	—	73	3	no	—
1046	C₂²×Q₈	—	73	6	no	—
1047	C₂²×Q₈	—	73	6	no	—
1048	C₂²×Q₈	—	73	6	no	—
1049	C₂²×Q₈	—	73	2	no	—
1050	C₂²×Q₈	—	73	3	no	—
1051	C₂²×Q₈	—	73	1	no	—
1052	C₂²×Q₈	—	73	6	no	—
1053	C₂²×Q₈	—	73	3	no	—
1054	C₂²×Q₈	—	73	6	no	—
1055	C₂²×Q₈	—	73	3	no	—
1056	C₂²×Q₈	—	146	24	no	—
1057	C₂²×Q₈	—	146	8	no	—
1058	C₂²×Q₈	—	146	16	no	—
1059	C₂²×Q₈	C₂²×D₇₃	1	1	yes	characteristic
1060	C₂²×Q₈	C₂²×D₇₃	1	3	yes	complemented
1061	C₂²×Q₈	C₂²×D₇₃	1	2	yes	complemented
1062	C₂²×D₄	—	73	6	no	—
1063	C₂²×D₄	—	73	3	no	—
1064	C₂²×D₄	—	73	6	no	—
1065	C₂²×D₄	—	73	2	no	—
1066	C₂²×D₄	—	73	6	no	—
1067	C₂²×D₄	—	73	1	no	—
1068	C₂²×D₄	—	73	6	no	—
1069	C₂²×D₄	—	73	3	no	—
1070	C₂²×D₄	—	73	6	no	—
1071	C₂²×D₄	—	73	3	no	—
1072	C₂²×D₄	—	73	3	no	—
1073	C₂²×D₄	—	73	3	no	—
1074	C₂²×D₄	—	146	24	no	—
1075	C₂²×D₄	C₂²×D₇₃	1	3	yes	—
1076	C₂³×C₄	—	73	6	no	—
1077	C₂³×C₄	—	73	3	no	—
1078	C₂³×C₄	—	73	3	no	—
1079	C₂³×C₄	—	73	6	no	—
1080	C₂³×C₄	—	73	3	no	—
1081	C₂³×C₄	—	73	6	no	—
1082	C₂³×C₄	—	73	3	no	—
1083	C₂³×C₄	—	73	3	no	—
1084	C₂³×C₄	—	73	1	no	—
1085	C₂³×C₄	—	73	3	no	—
1086	C₂³×C₄	—	73	3	no	—
1087	C₂³×C₄	—	73	3	no	—
1088	C₂³×C₄	—	73	3	no	—
1089	C₂³×C₄	—	73	3	no	—
1090	C₂³×C₄	—	73	3	no	—
1091	C₂³×C₄	—	73	3	no	—
1092	C₂³×C₄	—	146	24	no	—
1093	C₂³×C₄	C₂²×D₇₃	1	3	yes	—
1094	C₄⋊Q₈	—	73	6	no	—
1095	C₄⋊Q₈	—	73	6	no	—
1096	C₄⋊Q₈	—	73	12	no	—
1097	C₄⋊Q₈	—	73	12	no	—
1098	C₄⋊Q₈	—	73	6	no	—
1099	C₄⋊Q₈	C₂²×D₇₃	1	6	yes	complemented
1100	#124	—	73	6	no	—
1101	#124	—	73	6	no	—
1102	#124	—	73	12	no	—
1103	#124	—	73	12	no	—
1104	#124	—	73	6	no	—
1105	#124	C₂²×D₇₃	1	6	yes	complemented
1106	#123	—	73	6	no	—
1107	#123	—	73	12	no	—
1108	#123	—	73	6	no	—
1109	#123	—	73	12	no	—
1110	#123	—	73	6	no	—
1111	#123	—	73	6	no	—
1112	#123	—	73	12	no	—
1113	#123	—	73	12	no	—
1114	#123	—	73	6	no	—
1115	#123	—	73	6	no	—
1116	#123	—	73	6	no	—
1117	#123	—	73	12	no	—
1118	#123	—	73	12	no	—
1119	#123	—	73	12	no	—
1120	#123	C₂²×D₇₃	1	6	yes	complemented
1121	#123	C₂²×D₇₃	1	12	yes	complemented
1122	C₂²⋊Q₈	—	73	3	no	—
1123	C₂²⋊Q₈	—	73	6	no	—
1124	C₂²⋊Q₈	—	73	6	no	—
1125	C₂²⋊Q₈	—	73	6	no	—
1126	C₂²⋊Q₈	—	73	3	no	—
1127	C₂²⋊Q₈	—	73	6	no	—
1128	C₂²⋊Q₈	—	73	3	no	—
1129	C₂²⋊Q₈	—	73	6	no	—
1130	C₂²⋊Q₈	—	73	6	no	—
1131	C₂²⋊Q₈	—	73	6	no	—
1132	C₂²⋊Q₈	—	73	3	no	—
1133	C₂²⋊Q₈	—	73	6	no	—
1134	C₂²⋊Q₈	—	73	6	no	—
1135	C₂²⋊Q₈	—	73	3	no	—
1136	C₂²⋊Q₈	—	73	12	no	—
1137	C₂²⋊Q₈	—	73	6	no	—
1138	C₂²⋊Q₈	—	73	12	no	—
1139	C₂²⋊Q₈	—	73	6	no	—
1140	C₂²⋊Q₈	—	73	12	no	—
1141	C₂²⋊Q₈	—	73	6	no	—
1142	C₂²⋊Q₈	—	73	6	no	—
1143	C₂²⋊Q₈	—	73	3	no	—
1144	C₂²⋊Q₈	—	73	12	no	—
1145	C₂²⋊Q₈	—	73	6	no	—
1146	C₂²⋊Q₈	—	73	6	no	—
1147	C₂²⋊Q₈	—	73	12	no	—
1148	C₂²⋊Q₈	—	73	12	no	—
1149	C₂²⋊Q₈	—	73	12	no	—
1150	C₂²⋊Q₈	—	73	6	no	—
1151	C₂²⋊Q₈	—	73	12	no	—
1152	C₂²⋊Q₈	C₂²×D₇₃	1	3	yes	—
1153	C₂²⋊Q₈	C₂²×D₇₃	1	6	yes	—
1154	C₂²⋊Q₈	C₂²×D₇₃	1	6	yes	complemented
1155	C₂²⋊Q₈	C₂²×D₇₃	1	6	yes	complemented
1156	C₂²⋊Q₈	C₂²×D₇₃	1	3	yes	complemented
1157	C₂²⋊Q₈	C₂²×D₇₃	1	6	yes	complemented
1158	#121	—	73	1	no	—
1159	#121	—	73	2	no	—
1160	#121	—	73	3	no	—
1161	#121	—	73	6	no	—
1162	#121	—	73	12	no	—
1163	#121	—	73	12	no	—
1164	#121	—	73	12	no	—
1165	#121	—	73	6	no	—
1166	#121	—	73	12	no	—
1167	#121	—	73	1	no	—
1168	#121	—	73	3	no	—
1169	#121	—	73	12	no	—
1170	#121	—	73	6	no	—
1171	#121	—	73	1	no	—
1172	#121	—	73	3	no	—
1173	#121	—	73	12	no	—
1174	#121	—	73	6	no	—
1175	#121	—	73	2	no	—
1176	#121	—	73	6	no	—
1177	#121	—	73	12	no	—
1178	#121	—	73	12	no	—
1179	#121	—	73	12	no	—
1180	#121	C₂²×D₇₃	1	1	yes	characteristic
1181	#121	C₂²×D₇₃	1	3	yes	complemented
1182	#121	C₂²×D₇₃	1	12	yes	complemented
1183	#121	C₂²×D₇₃	1	6	yes	complemented
1184	#120	—	73	6	no	—
1185	#120	—	73	6	no	—
1186	#120	—	73	6	no	—
1187	#120	—	73	6	no	—
1188	#120	—	73	6	no	—
1189	#120	—	73	6	no	—
1190	#120	—	73	6	no	—
1191	#120	C₂²×D₇₃	1	6	yes	—
1192	C₄×Q₈	—	73	2	no	—
1193	C₄×Q₈	—	73	6	no	—
1194	C₄×Q₈	—	73	6	no	—
1195	C₄×Q₈	C₂²×D₇₃	1	2	yes	complemented
1196	C₄×D₄	—	73	6	no	—
1197	C₄×D₄	—	73	6	no	—
1198	C₄×D₄	—	73	6	no	—
1199	C₄×D₄	—	73	12	no	—
1200	C₄×D₄	—	73	6	no	—
1201	C₄×D₄	—	73	6	no	—
1202	C₄×D₄	—	73	6	no	—
1203	C₄×D₄	—	73	6	no	—
1204	C₄×D₄	—	73	6	no	—
1205	C₄×D₄	—	73	6	no	—
1206	C₄×D₄	—	73	6	no	—
1207	C₄×D₄	—	73	12	no	—
1208	C₄×D₄	—	73	6	no	—
1209	C₄×D₄	—	73	6	no	—
1210	C₄×D₄	—	73	6	no	—
1211	C₄×D₄	—	73	6	no	—
1212	C₄×D₄	—	73	6	no	—
1213	C₄×D₄	—	73	6	no	—
1214	C₄×D₄	—	73	6	no	—
1215	C₄×D₄	C₂²×D₇₃	1	6	yes	—
1216	C₄×D₄	C₂²×D₇₃	1	6	yes	complemented
1217	C₄×D₄	C₂²×D₇₃	1	6	yes	complemented
1218	#117	—	73	3	no	—
1219	#117	—	73	3	no	—
1220	#117	—	73	3	no	—
1221	#117	—	73	6	no	—
1222	#117	—	73	6	no	—
1223	#117	C₂²×D₇₃	1	3	yes	complemented
1224	C₂×C₄⋊C₄	—	73	6	no	—
1225	C₂×C₄⋊C₄	—	73	3	no	—
1226	C₂×C₄⋊C₄	—	73	6	no	—
1227	C₂×C₄⋊C₄	—	73	6	no	—
1228	C₂×C₄⋊C₄	—	73	6	no	—
1229	C₂×C₄⋊C₄	—	73	3	no	—
1230	C₂×C₄⋊C₄	—	73	6	no	—
1231	C₂×C₄⋊C₄	—	73	6	no	—
1232	C₂×C₄⋊C₄	—	73	6	no	—
1233	C₂×C₄⋊C₄	—	73	6	no	—
1234	C₂×C₄⋊C₄	—	73	12	no	—
1235	C₂×C₄⋊C₄	—	73	12	no	—
1236	C₂×C₄⋊C₄	—	73	12	no	—
1237	C₂×C₄⋊C₄	—	73	1	no	—
1238	C₂×C₄⋊C₄	—	73	6	no	—
1239	C₂×C₄⋊C₄	C₂²×D₇₃	1	3	yes	complemented
1240	C₂×C₄⋊C₄	C₂²×D₇₃	1	6	yes	complemented
1241	C₂×C₂²⋊C₄	—	73	6	no	—
1242	C₂×C₂²⋊C₄	—	73	6	no	—
1243	C₂×C₂²⋊C₄	—	73	6	no	—
1244	C₂×C₂²⋊C₄	—	73	6	no	—
1245	C₂×C₂²⋊C₄	—	73	12	no	—
1246	C₂×C₂²⋊C₄	—	73	12	no	—
1247	C₂×C₂²⋊C₄	—	73	12	no	—
1248	C₂×C₂²⋊C₄	—	73	6	no	—
1249	C₂×C₂²⋊C₄	—	73	2	no	—
1250	C₂×C₂²⋊C₄	—	73	6	no	—
1251	C₂×C₂²⋊C₄	—	73	6	no	—
1252	C₂×C₂²⋊C₄	C₂²×D₇₃	1	6	yes	—
1253	C₂×C₄²	—	73	6	no	—
1254	C₂⁴	—	292	6	no	—
1255	C₂⁴	—	73	3	no	—
1256	C₂⁴	—	73	3	no	—
1257	C₂⁴	—	73	3	no	—
1258	C₂⁴	—	73	1	no	—
1259	C₂⁴	—	73	3	no	—
1260	C₂⁴	—	73	3	no	—
1261	C₂⁴	—	73	2	no	—
1262	C₂⁴	—	146	12	no	—
1263	C₂⁴	—	146	12	no	—
1264	C₂⁴	C₂³×D₇₃	1	3	yes	—
1265	#41	—	2	4	no	—
1266	#41	—	2	12	no	—
1267	#41	—	2	24	no	—
1268	#41	—	2	12	no	—
1269	#41	—	2	12	no	—
1270	#41	—	73	8	no	—
1271	#41	—	73	24	no	—
1272	#41	—	73	24	no	—
1273	#41	—	146	24	no	—
1274	#41	—	146	24	no	—
1275	#41	—	146	24	no	—
1276	#41	—	146	12	no	—
1277	#41	—	146	48	no	—
1278	#41	—	146	24	no	—
1279	#41	—	146	12	no	—
1280	#41	—	146	24	no	—
1281	#41	—	146	12	no	—
1282	#41	—	146	24	no	—
1283	#41	—	146	12	no	—
1284	#41	—	146	12	no	—
1285	#41	—	146	12	no	—
1286	#41	—	146	24	no	—
1287	#41	—	146	48	no	—
1288	#41	—	146	12	no	—
1289	#41	—	146	12	no	—
1290	#41	—	146	24	no	—
1291	#41	—	146	4	no	—
1292	#41	—	146	12	no	—
1293	#41	—	146	24	no	—
1294	#41	—	146	12	no	—
1295	#41	—	146	12	no	—
1296	#41	D₄×D₇₃	1	8	yes	complemented
1297	C₂×Q₈	—	2	4	no	—
1298	C₂×Q₈	—	2	8	no	—
1299	C₂×Q₈	—	2	12	no	—
1300	C₂×Q₈	—	73	8	no	—
1301	C₂×Q₈	—	73	3	no	—
1302	C₂×Q₈	—	73	6	no	—
1303	C₂×Q₈	—	73	3	no	—
1304	C₂×Q₈	—	73	12	no	—
1305	C₂×Q₈	—	73	6	no	—
1306	C₂×Q₈	—	73	6	no	—
1307	C₂×Q₈	—	73	3	no	—
1308	C₂×Q₈	—	146	24	no	—
1309	C₂×Q₈	—	146	12	no	—
1310	C₂×Q₈	—	146	24	no	—
1311	C₂×Q₈	—	146	12	no	—
1312	C₂×Q₈	—	146	24	no	—
1313	C₂×Q₈	—	146	12	no	—
1314	C₂×Q₈	—	146	24	no	—
1315	C₂×Q₈	—	146	24	no	—
1316	C₂×Q₈	—	146	12	no	—
1317	C₂×Q₈	—	146	24	no	—
1318	C₂×Q₈	—	146	4	no	—
1319	C₂×Q₈	—	146	8	no	—
1320	C₂×Q₈	—	146	12	no	—
1321	C₂×Q₈	C₂³×D₇₃	1	3	yes	—
1322	C₂×Q₈	C₂³×D₇₃	1	6	yes	—
1323	C₂×Q₈	C₂³×D₇₃	1	3	yes	—
1324	C₂×Q₈	C₂³×D₇₃	1	1	yes	characteristic
1325	C₂×D₄	—	2	12	no	—
1326	C₂×D₄	—	292	12	no	—
1327	C₂×D₄	—	73	6	no	—
1328	C₂×D₄	—	73	6	no	—
1329	C₂×D₄	—	73	6	no	—
1330	C₂×D₄	—	73	24	no	—
1331	C₂×D₄	—	73	2	no	—
1332	C₂×D₄	—	73	2	no	—
1333	C₂×D₄	—	73	6	no	—
1334	C₂×D₄	—	73	6	no	—
1335	C₂×D₄	—	73	2	no	—
1336	C₂×D₄	—	73	6	no	—
1337	C₂×D₄	—	73	6	no	—
1338	C₂×D₄	—	73	6	no	—
1339	C₂×D₄	—	73	6	no	—
1340	C₂×D₄	—	73	3	no	—
1341	C₂×D₄	—	73	2	no	—
1342	C₂×D₄	—	73	6	no	—
1343	C₂×D₄	—	73	1	no	—
1344	C₂×D₄	—	73	6	no	—
1345	C₂×D₄	—	73	3	no	—
1346	C₂×D₄	—	146	12	no	—
1347	C₂×D₄	—	146	12	no	—
1348	C₂×D₄	—	146	4	no	—
1349	C₂×D₄	—	146	24	no	—
1350	C₂×D₄	—	146	12	no	—
1351	C₂×D₄	—	146	8	no	—
1352	C₂×D₄	—	146	24	no	—
1353	C₂×D₄	—	146	24	no	—
1354	C₂×D₄	—	146	24	no	—
1355	C₂×D₄	—	146	12	no	—
1356	C₂×D₄	C₂³×D₇₃	1	2	yes	—
1357	C₂×D₄	C₂³×D₇₃	1	6	yes	—
1358	C₂×D₄	C₂³×D₇₃	1	1	yes	characteristic
1359	C₂×D₄	C₂³×D₇₃	1	6	yes	—
1360	C₂×D₄	C₂³×D₇₃	1	3	yes	—
1361	C₂×D₄	C₂³×D₇₃	1	6	yes	—
1362	C₂×D₄	C₂³×D₇₃	1	3	yes	—
1363	C₂²×C₄	—	2	12	no	—
1364	C₂²×C₄	—	292	12	no	—
1365	C₂²×C₄	—	73	6	no	—
1366	C₂²×C₄	—	73	12	no	—
1367	C₂²×C₄	—	73	3	no	—
1368	C₂²×C₄	—	73	24	no	—
1369	C₂²×C₄	—	73	3	no	—
1370	C₂²×C₄	—	73	1	no	—
1371	C₂²×C₄	—	73	3	no	—
1372	C₂²×C₄	—	73	3	no	—
1373	C₂²×C₄	—	73	6	no	—
1374	C₂²×C₄	—	73	3	no	—
1375	C₂²×C₄	—	73	6	no	—
1376	C₂²×C₄	—	73	3	no	—
1377	C₂²×C₄	—	73	3	no	—
1378	C₂²×C₄	—	73	1	no	—
1379	C₂²×C₄	—	73	3	no	—
1380	C₂²×C₄	—	73	2	no	—
1381	C₂²×C₄	—	73	6	no	—
1382	C₂²×C₄	—	73	6	no	—
1383	C₂²×C₄	—	73	1	no	—
1384	C₂²×C₄	—	73	3	no	—
1385	C₂²×C₄	—	73	12	no	—
1386	C₂²×C₄	—	73	3	no	—
1387	C₂²×C₄	—	73	3	no	—
1388	C₂²×C₄	—	73	6	no	—
1389	C₂²×C₄	—	73	6	no	—
1390	C₂²×C₄	—	73	3	no	—
1391	C₂²×C₄	—	73	3	no	—
1392	C₂²×C₄	—	73	3	no	—
1393	C₂²×C₄	—	73	3	no	—
1394	C₂²×C₄	—	73	1	no	—
1395	C₂²×C₄	—	73	1	no	—
1396	C₂²×C₄	—	73	3	no	—
1397	C₂²×C₄	—	73	3	no	—
1398	C₂²×C₄	—	146	4	no	—
1399	C₂²×C₄	—	146	12	no	—
1400	C₂²×C₄	—	146	12	no	—
1401	C₂²×C₄	—	146	12	no	—
1402	C₂²×C₄	—	146	12	no	—
1403	C₂²×C₄	—	146	12	no	—
1404	C₂²×C₄	—	146	12	no	—
1405	C₂²×C₄	—	146	12	no	—
1406	C₂²×C₄	—	146	12	no	—
1407	C₂²×C₄	—	146	24	no	—
1408	C₂²×C₄	—	146	12	no	—
1409	C₂²×C₄	—	146	24	no	—
1410	C₂²×C₄	—	146	12	no	—
1411	C₂²×C₄	—	146	12	no	—
1412	C₂²×C₄	C₂³×D₇₃	1	6	yes	—
1413	C₂²×C₄	C₂³×D₇₃	1	3	yes	—
1414	C₂²×C₄	C₂³×D₇₃	1	3	yes	—
1415	C₂²×C₄	C₂³×D₇₃	1	6	yes	—
1416	C₂²×C₄	C₂³×D₇₃	1	3	yes	—
1417	C₂²×C₄	C₂³×D₇₃	1	1	yes	characteristic
1418	C₂²×C₄	C₂³×D₇₃	1	3	yes	—
1419	C₂²×C₄	C₂³×D₇₃	1	6	yes	—
1420	C₂²×C₄	C₂³×D₇₃	1	3	yes	—
1421	C₄⋊C₄	—	73	6	no	—
1422	C₄⋊C₄	—	73	6	no	—
1423	C₄⋊C₄	—	73	6	no	—
1424	C₄⋊C₄	—	73	12	no	—
1425	C₄⋊C₄	—	73	12	no	—
1426	C₄⋊C₄	—	73	12	no	—
1427	C₄⋊C₄	—	73	2	no	—
1428	C₄⋊C₄	—	73	6	no	—
1429	C₄⋊C₄	—	73	6	no	—
1430	C₄⋊C₄	—	73	3	no	—
1431	C₄⋊C₄	—	73	6	no	—
1432	C₄⋊C₄	—	73	6	no	—
1433	C₄⋊C₄	—	73	12	no	—
1434	C₄⋊C₄	—	73	1	no	—
1435	C₄⋊C₄	—	73	6	no	—
1436	C₄⋊C₄	C₂³×D₇₃	1	3	yes	—
1437	C₄⋊C₄	C₂³×D₇₃	1	6	yes	—
1438	C₄⋊C₄	C₂³×D₇₃	1	6	yes	—
1439	C₄⋊C₄	C₂³×D₇₃	1	12	yes	—
1440	C₄⋊C₄	C₂³×D₇₃	1	1	yes	characteristic
1441	C₄⋊C₄	C₂³×D₇₃	1	6	yes	—
1442	C₂²⋊C₄	—	73	6	no	—
1443	C₂²⋊C₄	—	73	12	no	—
1444	C₂²⋊C₄	—	73	6	no	—
1445	C₂²⋊C₄	—	73	2	no	—
1446	C₂²⋊C₄	—	73	6	no	—
1447	C₂²⋊C₄	—	73	6	no	—
1448	C₂²⋊C₄	—	73	6	no	—
1449	C₂²⋊C₄	—	73	6	no	—
1450	C₂²⋊C₄	—	73	12	no	—
1451	C₂²⋊C₄	—	73	12	no	—
1452	C₂²⋊C₄	—	73	6	no	—
1453	C₂²⋊C₄	—	73	6	no	—
1454	C₂²⋊C₄	—	73	2	no	—
1455	C₂²⋊C₄	—	73	2	no	—
1456	C₂²⋊C₄	—	73	6	no	—
1457	C₂²⋊C₄	—	73	6	no	—
1458	C₂²⋊C₄	—	73	6	no	—
1459	C₂²⋊C₄	—	73	6	no	—
1460	C₂²⋊C₄	C₂³×D₇₃	1	6	yes	—
1461	C₂²⋊C₄	C₂³×D₇₃	1	12	yes	—
1462	C₂²⋊C₄	C₂³×D₇₃	1	6	yes	—
1463	C₂²⋊C₄	C₂³×D₇₃	1	2	yes	—
1464	C₂²⋊C₄	C₂³×D₇₃	1	6	yes	—
1465	C₂²⋊C₄	C₂³×D₇₃	1	6	yes	—
1466	C₄²	—	73	6	no	—
1467	C₄²	—	73	6	no	—
1468	C₄²	—	73	6	no	—
1469	C₄²	C₂³×D₇₃	1	6	yes	—
1470	C₂³	—	2	6	no	—
1471	C₂³	—	2	6	no	—
1472	C₂³	—	4	3	no	—
1473	C₂³	—	292	3	no	—
1474	C₂³	—	292	3	no	—
1475	C₂³	—	292	3	no	—
1476	C₂³	—	292	48	no	—
1477	C₂³	—	73	1	no	—
1478	C₂³	—	73	12	no	—
1479	C₂³	—	73	4	no	—
1480	C₂³	—	73	1	no	—
1481	C₂³	—	73	3	no	—
1482	C₂³	—	73	3	no	—
1483	C₂³	—	73	2	no	—
1484	C₂³	—	146	4	no	—
1485	C₂³	—	146	6	no	—
1486	C₂³	—	146	6	no	—
1487	C₂³	—	146	6	no	—
1488	C₂³	—	146	4	no	—
1489	C₂³	—	146	6	no	—
1490	C₂³	—	146	4	no	—
1491	C₂³	—	146	6	no	—
1492	C₂³	—	146	6	no	—
1493	C₂³	—	146	6	no	—
1494	C₂³	—	146	6	no	—
1495	C₂³	—	146	2	no	—
1496	C₂³	—	146	2	no	—
1497	C₂³	—	146	6	no	—
1498	C₂³	—	146	6	no	—
1499	C₂³	—	146	6	no	—
1500	C₂³	C₂⁴×D₇₃	1	3	yes	—
1501	C₂³	C₂⁴×D₇₃	1	2	yes	—
1502	C₂³	C₂⁴×D₇₃	1	3	yes	—
1503	C₂³	C₂⁴×D₇₃	1	1	yes	characteristic
1504	Q₈	—	2	6	no	—
1505	Q₈	—	2	12	no	—
1506	Q₈	—	2	6	no	—
1507	Q₈	—	73	12	no	—
1508	Q₈	—	146	12	no	—
1509	Q₈	—	146	24	no	—
1510	Q₈	—	146	12	no	—
1511	Q₈	—	146	6	no	—
1512	Q₈	—	146	12	no	—
1513	Q₈	—	146	6	no	—
1514	Q₈	C₂×D₄×D₇₃	1	4	yes	—
1515	D₄	—	2	12	no	—
1516	D₄	—	2	12	no	—
1517	D₄	—	2	4	no	—
1518	D₄	—	2	6	no	—
1519	D₄	—	2	2	no	—
1520	D₄	—	4	6	no	—
1521	D₄	—	292	6	no	—
1522	D₄	—	292	6	no	—
1523	D₄	—	292	6	no	—
1524	D₄	—	73	24	no	—
1525	D₄	—	73	12	no	—
1526	D₄	—	146	12	no	—
1527	D₄	—	146	12	no	—
1528	D₄	—	146	4	no	—
1529	D₄	—	146	12	no	—
1530	D₄	—	146	4	no	—
1531	D₄	—	146	12	no	—
1532	D₄	—	146	12	no	—
1533	D₄	—	146	4	no	—
1534	D₄	—	146	12	no	—
1535	D₄	—	146	12	no	—
1536	D₄	—	146	4	no	—
1537	D₄	—	146	6	no	—
1538	D₄	—	146	2	no	—
1539	D₄	C₂×D₄×D₇₃	1	12	yes	—
1540	C₂×C₄	—	2	6	no	—
1541	C₂×C₄	—	2	12	no	—
1542	C₂×C₄	—	2	2	no	—
1543	C₂×C₄	—	2	6	no	—
1544	C₂×C₄	—	2	6	no	—
1545	C₂×C₄	—	2	6	no	—
1546	C₂×C₄	—	2	12	no	—
1547	C₂×C₄	—	4	6	no	—
1548	C₂×C₄	—	292	12	no	—
1549	C₂×C₄	—	292	6	no	—
1550	C₂×C₄	—	73	12	no	—
1551	C₂×C₄	—	73	3	no	—
1552	C₂×C₄	—	73	1	no	—
1553	C₂×C₄	—	73	4	no	—
1554	C₂×C₄	—	73	12	no	—
1555	C₂×C₄	—	73	12	no	—
1556	C₂×C₄	—	73	12	no	—
1557	C₂×C₄	—	73	2	no	—
1558	C₂×C₄	—	73	6	no	—
1559	C₂×C₄	—	73	6	no	—
1560	C₂×C₄	—	73	1	no	—
1561	C₂×C₄	—	73	3	no	—
1562	C₂×C₄	—	146	2	no	—
1563	C₂×C₄	—	146	6	no	—
1564	C₂×C₄	—	146	6	no	—
1565	C₂×C₄	—	146	6	no	—
1566	C₂×C₄	—	146	12	no	—
1567	C₂×C₄	—	146	12	no	—
1568	C₂×C₄	—	146	2	no	—
1569	C₂×C₄	—	146	6	no	—
1570	C₂×C₄	—	146	12	no	—
1571	C₂×C₄	—	146	6	no	—
1572	C₂×C₄	—	146	6	no	—
1573	C₂×C₄	—	146	24	no	—
1574	C₂×C₄	—	146	4	no	—
1575	C₂×C₄	—	146	2	no	—
1576	C₂×C₄	—	146	6	no	—
1577	C₂×C₄	—	146	6	no	—
1578	C₂×C₄	—	146	6	no	—
1579	C₂×C₄	—	146	12	no	—
1580	C₂×C₄	—	146	6	no	—
1581	C₂×C₄	—	146	12	no	—
1582	C₂×C₄	—	146	2	no	—
1583	C₂×C₄	—	146	6	no	—
1584	C₂×C₄	—	146	6	no	—
1585	C₂×C₄	—	146	6	no	—
1586	C₂×C₄	—	146	12	no	—
1587	C₂×C₄	C₂×D₄×D₇₃	1	12	yes	—
1588	C₂×C₄	C₂⁴×D₇₃	1	2	yes	—
1589	C₂×C₄	C₂⁴×D₇₃	1	6	yes	—
1590	C₂×C₄	C₂⁴×D₇₃	1	6	yes	—
1591	C₂×C₄	C₂⁴×D₇₃	1	1	yes	characteristic
1592	C₂×C₄	C₂⁴×D₇₃	1	3	yes	—
1593	C₂×C₄	C₂⁴×D₇₃	1	3	yes	—
1594	C₂×C₄	C₂⁴×D₇₃	1	1	yes	characteristic
1595	C₂²	—	2	1	no	—
1596	C₂²	—	2	3	no	—
1597	C₂²	—	2	3	no	—
1598	C₂²	—	2	1	no	—
1599	C₂²	—	2	2	no	—
1600	C₂²	—	2	3	no	—
1601	C₂²	—	2	2	no	—
1602	C₂²	—	2	3	no	—
1603	C₂²	—	2	2	no	—
1604	C₂²	—	2	3	no	—
1605	C₂²	—	4	12	no	—
1606	C₂²	—	292	12	no	—
1607	C₂²	—	292	12	no	—
1608	C₂²	—	292	12	no	—
1609	C₂²	—	292	8	no	—
1610	C₂²	—	292	12	no	—
1611	C₂²	—	73	2	no	—
1612	C₂²	—	73	2	no	—
1613	C₂²	—	73	2	no	—
1614	C₂²	—	73	6	no	—
1615	C₂²	—	73	2	no	—
1616	C₂²	—	146	8	no	—
1617	C₂²	—	146	24	no	—
1618	C₂²	—	146	2	no	—
1619	C₂²	—	146	3	no	—
1620	C₂²	—	146	2	no	—
1621	C₂²	—	146	3	no	—
1622	C₂²	—	146	2	no	—
1623	C₂²	—	146	3	no	—
1624	C₂²	—	146	1	no	—
1625	C₂²	—	146	3	no	—
1626	C₂²	—	146	3	no	—
1627	C₂²	—	146	1	no	—
1628	C₂²	C₂²×D₄×D₇₃	1	6	yes	—
1629	C₂²	2₋¹⁺⁴×D₇₃	1	2	yes	complemented
1630	C₂²	C₂⁵×D₇₃	1	1	yes	characteristic
1631	C₄	—	2	1	no	—
1632	C₄	—	2	3	no	—
1633	C₄	—	2	6	no	—
1634	C₄	—	2	2	no	—
1635	C₄	—	2	6	no	—
1636	C₄	—	73	2	no	—
1637	C₄	—	73	6	no	—
1638	C₄	—	146	1	no	—
1639	C₄	—	146	3	no	—
1640	C₄	—	146	6	no	—
1641	C₄	—	146	2	no	—
1642	C₄	—	146	6	no	—
1643	C₄	C₂²×D₄×D₇₃	1	2	yes	—
1644	C₄	C₂²×D₄×D₇₃	1	6	yes	—
1645	C₂	—	2	2	no	—
1646	C₂	—	2	6	no	—
1647	C₂	—	4	3	no	—
1648	C₂	—	4	2	no	—
1649	C₂	—	292	3	no	—
1650	C₂	—	292	2	no	—
1651	C₂	—	73	4	no	—
1652	C₂	—	146	2	no	—
1653	C₂	—	146	6	no	—
1654	C₂	C₂³×D₄×D₇₃	1	1	yes	characteristic
1655	C₂	C₂×2₋¹⁺⁴×D₇₃	1	1	yes	characteristic
1656	C₂	#585×D₇₃	1	1	yes	characteristic

	subgroup	G/H
center, Frattini	C₂²	C₂⁵×D₇₃
commutator, socle, cosocle	C₂²×C₇₃	C₂⁶
Fitting	C₇₃×#3489	C₂
hypercenter	#3489	D₇₃
hypocenter	C₇₃	C₂×#3489
LCS	G ▷ C₂²×C₇₃ ▷ C₇₃
UCS	C₁ ◁ C₂² ◁ #3489

Complements

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

N	H ≅ G/N	type
1. C₂×2₋¹⁺⁴×D₇₃	C₂	semidirect
2. C₂²×#41×D₇₃	C₂	semidirect
3. #22623612	C₂	semidirect
4. #22623611	C₂	semidirect
5. #22623610	C₂	semidirect
6. #22623609	C₂	semidirect
7. #22623608	C₂	semidirect
8. #22623607	C₂	semidirect
9. #22623606	C₂	semidirect
10. #22623605	C₂	semidirect
11. #22623604	C₂	semidirect
12. #22623603	C₂	semidirect
13. #22623602	C₂	semidirect
14. D₄×Q₈×D₇₃	C₂	semidirect
15. #548×D₇₃	C₂	semidirect
16. #547×D₇₃	C₂	semidirect
17. #546×D₇₃	C₂	semidirect
18. #537×D₇₃	C₂	semidirect
19. #536×D₇₃	C₂	semidirect
20. #525×D₇₃	C₂	semidirect
21. C₂×C₂²⋊Q₈×D₇₃	C₂	semidirect
22. #520×D₇₃	C₂	semidirect
23. C₇₃×#3489	C₂	semidirect
24. C₂×#14556639	C₂²	semidirect
25. C₂×#14556639	C₂²	semidirect
26. C₂×#14556638	C₂²	semidirect
27. C₂×#14556638	C₂²	semidirect
28. C₂×#14556638	C₂²	semidirect
30. C₂²×#11924029	C₂²	semidirect
31. C₂²×#11924028	C₂²	semidirect
32. C₂²×#11924027	C₂²	semidirect
38. C₂×#41×D₇₃	C₂²	semidirect
39. C₂×#41×D₇₃	C₂²	semidirect
40. C₂×#41×D₇₃	C₂²	semidirect
41. C₂×#41×D₇₃	C₂²	semidirect
42. C₂×#41×D₇₃	C₂²	semidirect
43. C₂×#41×D₇₃	C₂²	semidirect
45. C₂²×Q₈×D₇₃	C₂²	semidirect
46. C₂²×Q₈×D₇₃	C₂²	semidirect
49. Q₈×D₂₉₂	C₂²	semidirect
50. D₄×Dic₁₄₆	C₂²	semidirect
51. #17989252	C₂²	semidirect
52. Q₈×C₂²⋊D₇₃	C₂²	semidirect
53. Q₈×C₂²⋊D₇₃	C₂²	semidirect
54. #17989250	C₂²	semidirect
55. #17989250	C₂²	semidirect
56. #17989249	C₂²	semidirect
57. #17989248	C₂²	semidirect
58. #17989247	C₂²	semidirect
59. #17989246	C₂²	semidirect
60. #17989245	C₂²	semidirect
61. #17989244	C₂²	semidirect
62. #17989243	C₂²	semidirect
63. #17989242	C₂²	semidirect
64. #17989241	C₂²	semidirect
65. #17989240	C₂²	semidirect
66. #17989239	C₂²	semidirect
67. #17989239	C₂²	semidirect
68. #17989238	C₂²	semidirect
69. #17989237	C₂²	semidirect
70. #17989236	C₂²	semidirect
71. #17989236	C₂²	semidirect
72. #17989235	C₂²	semidirect
73. #17989235	C₂²	semidirect
74. #17989234	C₂²	semidirect
75. #17989233	C₂²	semidirect
76. #17989232	C₂²	semidirect
77. #17989231	C₂²	semidirect
78. #17989230	C₂²	semidirect
79. #17989229	C₂²	semidirect
80. #17989228	C₂²	semidirect
81. #17989227	C₂²	semidirect
82. #17989226	C₂²	semidirect
83. #17989225	C₂²	semidirect
84. #17989224	C₂²	semidirect
85. #17989168	C₂²	semidirect
86. #17989167	C₂²	semidirect
87. #17989167	C₂²	semidirect
88. #17989166	C₂²	semidirect
89. #17989166	C₂²	semidirect
90. #17989165	C₂²	semidirect
91. #17989165	C₂²	semidirect
92. #17989164	C₂²	semidirect
93. #17989163	C₂²	semidirect
94. #17989162	C₂²	semidirect
95. #17989161	C₂²	semidirect
96. #17989160	C₂²	semidirect
97. #17989160	C₂²	semidirect
98. #17989159	C₂²	semidirect
99. #17989158	C₂²	semidirect
100. #17989157	C₂²	semidirect
101. C₄⋊Q₈×D₇₃	C₂²	semidirect
102. #124×D₇₃	C₂²	semidirect
103. #17989100	C₂²	semidirect
104. #17989100	C₂²	semidirect
105. #17989099	C₂²	semidirect
106. #17989098	C₂²	semidirect
107. #17989097	C₂²	semidirect
108. #17989097	C₂²	semidirect
109. #17989096	C₂²	semidirect
110. #17989096	C₂²	semidirect
111. #17989095	C₂²	semidirect
112. #17989094	C₂²	semidirect
113. #17989093	C₂²	semidirect
114. #123×D₇₃	C₂²	semidirect
115. #123×D₇₃	C₂²	semidirect
116. C₂×#14556571	C₂²	semidirect
117. C₂×#14556570	C₂²	semidirect
118. C₂×#14556569	C₂²	semidirect
119. C₂×#14556568	C₂²	semidirect
120. C₂×#14556567	C₂²	semidirect
123. C₂²⋊Q₈×D₇₃	C₂²	semidirect
124. C₂²⋊Q₈×D₇₃	C₂²	semidirect
125. C₂²⋊Q₈×D₇₃	C₂²	semidirect
126. C₂²⋊Q₈×D₇₃	C₂²	semidirect
127. C₂²⋊Q₈×D₇₃	C₂²	semidirect
128. C₂²⋊Q₈×D₇₃	C₂²	semidirect
129. C₂²⋊Q₈×D₇₃	C₂²	semidirect
130. C₂²⋊Q₈×D₇₃	C₂²	semidirect
132. #121×D₇₃	C₂²	semidirect
133. #121×D₇₃	C₂²	semidirect
134. #121×D₇₃	C₂²	semidirect
136. #17989070	C₂²	semidirect
137. #17989069	C₂²	semidirect
138. #17989068	C₂²	semidirect
139. #17989067	C₂²	semidirect
140. #17989066	C₂²	semidirect
141. C₄×Q₈×D₇₃	C₂²	semidirect
143. C₄×D₄×D₇₃	C₂²	semidirect
144. C₄×D₄×D₇₃	C₂²	semidirect
145. #117×D₇₃	C₂²	semidirect
146. C₂×C₄⋊C₄×D₇₃	C₂²	semidirect
147. C₂×C₄⋊C₄×D₇₃	C₂²	semidirect
149. C₂×2₋¹⁺⁴×C₇₃	C₂²	semidirect
150. C₂²×#41×C₇₃	C₂²	semidirect
151. D₄×Q₈×C₇₃	C₂²	semidirect
152. #548×C₇₃	C₂²	semidirect
153. #547×C₇₃	C₂²	semidirect
154. #546×C₇₃	C₂²	semidirect
155. #537×C₇₃	C₂²	semidirect
156. #536×C₇₃	C₂²	semidirect
157. #525×C₇₃	C₂²	semidirect
158. C₂×C₂²⋊Q₈×C₇₃	C₂²	semidirect
159. #520×C₇₃	C₂²	semidirect
171. C₂×#11924029	C₂³	semidirect
172. C₂×#11924029	C₂³	semidirect
180. C₂×#11924028	C₂³	semidirect
181. C₂×#11924028	C₂³	semidirect
182. C₂×#11924028	C₂³	semidirect
183. C₂×#11924028	C₂³	semidirect
191. C₂×#11924027	C₂³	semidirect
192. C₂×#11924027	C₂³	semidirect
193. C₂×#11924027	C₂³	semidirect
194. C₂×#11924027	C₂³	semidirect
204. #41×D₇₃	D₄	semidirect
206. C₂²×Dic₁₄₆	C₂³	semidirect
207. C₂²×Dic₁₄₆	C₂³	semidirect
208. C₂²×Dic₁₄₆	C₂³	semidirect
218. C₂×Q₈×D₇₃	C₂³	semidirect
219. C₂×Q₈×D₇₃	C₂³	semidirect
220. C₂×Q₈×D₇₃	C₂³	semidirect
221. C₂×Q₈×D₇₃	C₂³	semidirect
252. #14556591	C₂³	semidirect
253. #14556590	C₂³	semidirect
254. #14556590	C₂³	semidirect
255. #14556589	C₂³	semidirect
256. #14556589	C₂³	semidirect
257. #14556580	C₂³	semidirect
258. #14556579	C₂³	semidirect
259. #14556578	C₂³	semidirect
260. #14556577	C₂³	semidirect
261. #14556577	C₂³	semidirect
262. #14556576	C₂³	semidirect
263. #14556576	C₂³	semidirect
264. #14556576	C₂³	semidirect
265. #14556576	C₂³	semidirect
266. #14556575	C₂³	semidirect
267. #14556575	C₂³	semidirect
268. #14556574	C₂³	semidirect
269. #14556574	C₂³	semidirect
270. #14556573	C₂³	semidirect
271. #14556573	C₂³	semidirect
272. #14556573	C₂³	semidirect
273. #14556573	C₂³	semidirect
274. #14556572	C₂³	semidirect
275. #14556572	C₂³	semidirect
278. #14556571	C₂³	semidirect
279. #14556571	C₂³	semidirect
280. #14556571	C₂³	semidirect
281. #14556571	C₂³	semidirect
284. #14556570	C₂³	semidirect
285. #14556570	C₂³	semidirect
286. #14556570	C₂³	semidirect
287. #14556570	C₂³	semidirect
290. #14556569	C₂³	semidirect
291. #14556569	C₂³	semidirect
292. #14556569	C₂³	semidirect
293. #14556569	C₂³	semidirect
296. #14556568	C₂³	semidirect
297. #14556568	C₂³	semidirect
298. #14556568	C₂³	semidirect
299. #14556568	C₂³	semidirect
302. #14556567	C₂³	semidirect
303. #14556567	C₂³	semidirect
304. #14556567	C₂³	semidirect
305. #14556567	C₂³	semidirect
307. #14556566	C₂³	semidirect
308. #14556566	C₂³	semidirect
309. #14556566	C₂³	semidirect
311. #14556565	C₂³	semidirect
312. #14556565	C₂³	semidirect
313. #14556565	C₂³	semidirect
315. #14556564	C₂³	semidirect
316. #14556564	C₂³	semidirect
317. #14556564	C₂³	semidirect
318. #14556564	C₂³	semidirect
320. #14556563	C₂³	semidirect
321. #14556563	C₂³	semidirect
322. #14556563	C₂³	semidirect
323. #14556563	C₂³	semidirect
325. #14556562	C₂³	semidirect
326. #14556562	C₂³	semidirect
327. #14556562	C₂³	semidirect
335. Q₈×Dic₇₃	C₂³	semidirect
336. C₄×Dic₁₄₆	C₂³	semidirect
337. #14556556	C₂³	semidirect
339. C₄×D₂₉₂	C₂³	semidirect
340. C₄×D₂₉₂	C₂³	semidirect
342. D₄×Dic₇₃	C₂³	semidirect
343. D₄×Dic₇₃	C₂³	semidirect
345. #14556553	C₂³	semidirect
346. #14556553	C₂³	semidirect
349. C₄×C₂²⋊D₇₃	C₂³	semidirect
350. C₄×C₂²⋊D₇₃	C₂³	semidirect
351. C₄×C₂²⋊D₇₃	C₂³	semidirect
354. #14556551	C₂³	semidirect
355. #14556551	C₂³	semidirect
356. #14556551	C₂³	semidirect
357. #14556550	C₂³	semidirect
358. #14556549	C₂³	semidirect
359. #14556549	C₂³	semidirect
360. #14556548	C₂³	semidirect
361. #14556547	C₂³	semidirect
362. C₂×C₄⋊Dic₇₃	C₂³	semidirect
363. C₂×C₄⋊Dic₇₃	C₂³	semidirect
364. C₂×#11924007	C₂³	semidirect
365. C₂×#11924007	C₂³	semidirect
366. C₂×#11924007	C₂³	semidirect
373. C₄⋊C₄×D₇₃	C₂³	semidirect
374. C₄⋊C₄×D₇₃	C₂³	semidirect
375. C₄⋊C₄×D₇₃	C₂³	semidirect
376. C₄⋊C₄×D₇₃	C₂³	semidirect
395. C₂×#41×C₇₃	C₂³	semidirect
396. C₂×#41×C₇₃	C₂³	semidirect
398. C₂²×Q₈×C₇₃	C₂³	semidirect
399. C₂²×Q₈×C₇₃	C₂³	semidirect
402. C₄⋊Q₈×C₇₃	C₂³	semidirect
403. #124×C₇₃	C₂³	semidirect
404. #123×C₇₃	C₂³	semidirect
405. #123×C₇₃	C₂³	semidirect
408. C₂²⋊Q₈×C₇₃	C₂³	semidirect
409. C₂²⋊Q₈×C₇₃	C₂³	semidirect
410. C₂²⋊Q₈×C₇₃	C₂³	semidirect
411. C₂²⋊Q₈×C₇₃	C₂³	semidirect
413. #121×C₇₃	C₂³	semidirect
414. #121×C₇₃	C₂³	semidirect
415. #121×C₇₃	C₂³	semidirect
417. C₄×Q₈×C₇₃	C₂³	semidirect
419. C₄×D₄×C₇₃	C₂³	semidirect
420. C₄×D₄×C₇₃	C₂³	semidirect
421. #117×C₇₃	C₂³	semidirect
422. C₂×C₄⋊C₄×C₇₃	C₂³	semidirect
423. C₂×C₄⋊C₄×C₇₃	C₂³	semidirect
440. #11924029	C₂×D₄	semidirect
450. #11924028	C₂×D₄	semidirect
460. #11924027	C₂×D₄	semidirect
602. #41×C₇₃	C₂×D₄	semidirect
669. C₂²×D₇₃	2₋¹⁺⁴	semidirect
778. C₂²×C₇₃	C₂×2₋¹⁺⁴	semidirect
800. C₂×D₇₃	C₂×2₋¹⁺⁴	semidirect
828. D₇₃	#3489	direct (N × H)
842. #3489	D₇₃	direct (N × H)
852. C₇₃	C₂×#3489	semidirect
859. C₂×2₋¹⁺⁴	C₂×D₇₃	semidirect
874. C₂²×#41	C₂×D₇₃	semidirect
887. D₄×Q₈	C₂×D₇₃	semidirect
895. #548	C₂×D₇₃	semidirect
907. #547	C₂×D₇₃	semidirect
919. #546	C₂×D₇₃	semidirect
928. #537	C₂×D₇₃	semidirect
937. #536	C₂×D₇₃	semidirect
951. #525	C₂×D₇₃	semidirect
969. C₂×C₂²⋊Q₈	C₂×D₇₃	semidirect
980. #520	C₂×D₇₃	semidirect
1040. C₂×#41	C₂²×D₇₃	semidirect
1041. C₂×#41	C₂²×D₇₃	semidirect
1060. C₂²×Q₈	C₂²×D₇₃	semidirect
1061. C₂²×Q₈	C₂²×D₇₃	semidirect
1099. C₄⋊Q₈	C₂²×D₇₃	semidirect
1105. #124	C₂²×D₇₃	semidirect
1120. #123	C₂²×D₇₃	semidirect
1121. #123	C₂²×D₇₃	semidirect
1154. C₂²⋊Q₈	C₂²×D₇₃	semidirect
1155. C₂²⋊Q₈	C₂²×D₇₃	semidirect
1156. C₂²⋊Q₈	C₂²×D₇₃	semidirect
1157. C₂²⋊Q₈	C₂²×D₇₃	semidirect
1181. #121	C₂²×D₇₃	semidirect
1182. #121	C₂²×D₇₃	semidirect
1183. #121	C₂²×D₇₃	semidirect
1195. C₄×Q₈	C₂²×D₇₃	semidirect
1216. C₄×D₄	C₂²×D₇₃	semidirect
1217. C₄×D₄	C₂²×D₇₃	semidirect
1223. #117	C₂²×D₇₃	semidirect
1239. C₂×C₄⋊C₄	C₂²×D₇₃	semidirect
1240. C₂×C₄⋊C₄	C₂²×D₇₃	semidirect
1296. #41	D₄×D₇₃	semidirect
1629. C₂²	2₋¹⁺⁴×D₇₃	semidirect

Maximal subgroups

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

subgroup	index
C₂×2₋¹⁺⁴×D₇₃	2
C₂²×#41×D₇₃	2
#22623612	2
#22623611	2
#22623610	2
#22623609	2
#22623608	2
#22623607	2
#22623606	2
#22623605	2
#22623604	2
#22623603	2
#22623602	2
D₄×Q₈×D₇₃	2
#548×D₇₃	2
#547×D₇₃	2
#546×D₇₃	2
#537×D₇₃	2
#536×D₇₃	2
#525×D₇₃	2
C₂×C₂²⋊Q₈×D₇₃	2
#520×D₇₃	2
C₇₃×#3489	2
C₂×#3489	73

Subgroups — #3489×D73 #33994380

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — #3489×D₇₃ #33994380