Subgroups — #3096×D₇₃ #33953803

Order 18688.

2362 conjugacy classes of subgroups.

The subgroup lattice has 1266 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#535×D₇₃	C₂	1	1	yes	maximal, characteristic
2	#520×D₇₃	C₂	1	1	yes	maximal, characteristic, complemented
3	#22619892	C₂	1	1	yes	maximal, characteristic, complemented
4	#22619891	C₂	1	1	yes	maximal, characteristic, complemented
5	#22619890	C₂	1	1	yes	maximal, characteristic, complemented
6	#22619889	C₂	1	1	yes	maximal, characteristic, complemented
7	#22619888	C₂	1	2	yes	maximal, complemented
8	#22619887	C₂	1	1	yes	maximal, characteristic, complemented
9	#22619886	C₂	1	2	yes	maximal, complemented
10	#22619885	C₂	1	1	yes	maximal, characteristic, complemented
11	#22619884	C₂	1	2	yes	maximal, complemented
12	#22619883	C₂	1	1	yes	maximal, characteristic, complemented
13	#22619882	C₂	1	2	yes	maximal, complemented
14	#481×D₇₃	C₂	1	2	yes	maximal, complemented
15	#482×D₇₃	C₂	1	2	yes	maximal, complemented
16	#482×D₇₃	C₂	1	2	yes	maximal, complemented
17	#480×D₇₃	C₂	1	2	yes	maximal, complemented
18	#428×D₇₃	C₂	1	1	yes	maximal, characteristic, complemented
19	#427×D₇₃	C₂	1	1	yes	maximal, characteristic, complemented
20	#418×D₇₃	C₂	1	1	yes	maximal, characteristic, complemented
21	C₂×#102×D₇₃	C₂	1	1	yes	maximal, characteristic, complemented
22	#408×D₇₃	C₂	1	1	yes	maximal, characteristic, complemented
23	C₇₃×#3096	C₂	1	1	yes	maximal, characteristic, complemented
24	C₂×#41×D₇₃	C₂²	1	1	yes	characteristic
25	C₂²×D₄×D₇₃	C₂²	1	1	yes	characteristic
26	C₂×M₁₆×D₇₃	C₂²	1	1	yes	characteristic
27	C₂²×C₈×D₇₃	C₂²	1	1	yes	characteristic
28	#17989156	C₂²	1	1	yes	characteristic
29	#17989155	—	2	1	no	—
30	#17989154	C₂²	1	1	yes	characteristic
31	#17989153	C₂²	1	2	yes	—
32	#17989153	C₂²	1	2	yes	—
33	#17989152	—	2	2	no	—
34	#17989151	C₂²	1	1	yes	characteristic
35	#17989150	—	2	1	no	—
36	#127×D₇₃	—	2	1	no	—
37	#124×D₇₃	—	2	1	no	—
38	#121×D₇₃	C₂²	1	2	yes	—
39	#121×D₇₃	C₂²	1	2	yes	—
40	#120×D₇₃	—	2	2	no	—
41	#17989070	C₂²	1	1	yes	characteristic, complemented
42	#17989069	—	2	1	no	—
43	#17989068	C₂²	1	1	yes	characteristic, complemented
44	#17989068	C₂²	1	2	yes	complemented
45	#17989067	C₂²	1	1	yes	characteristic, complemented
46	#17989067	C₂²	1	2	yes	complemented
47	#17989066	—	2	1	no	—
48	#17989066	—	2	2	no	—
49	C₄×Q₈×D₇₃	—	2	1	no	—
50	C₄×D₄×D₇₃	—	2	1	no	—
51	C₄×D₄×D₇₃	—	2	2	no	—
52	#117×D₇₃	C₂²	1	1	yes	characteristic
53	#117×D₇₃	C₂²	1	1	yes	characteristic
54	#117×D₇₃	C₂²	1	2	yes	complemented
55	C₂×C₄⋊C₄×D₇₃	C₂²	1	1	yes	characteristic
56	C₂×C₄⋊C₄×D₇₃	C₂²	1	2	yes	complemented
57	#17988914	C₂²	1	2	yes	complemented
58	#17988914	C₂²	1	2	yes	complemented
59	#17988913	C₂²	1	2	yes	complemented
60	#17988913	C₂²	1	2	yes	complemented
61	#17988912	C₂²	1	2	yes	complemented
62	#17988912	C₂²	1	2	yes	complemented
63	#17988911	C₂²	1	2	yes	complemented
64	#17988911	C₂²	1	2	yes	complemented
65	#17988910	C₂²	1	2	yes	complemented
66	#17988910	C₂²	1	2	yes	complemented
67	#17988909	C₂²	1	2	yes	complemented
68	#17988909	C₂²	1	2	yes	complemented
69	#17988908	C₂²	1	2	yes	complemented
70	#17988908	C₂²	1	2	yes	complemented
71	#17988907	C₂²	1	2	yes	complemented
72	#17988907	C₂²	1	2	yes	complemented
73	#17988906	C₂²	1	2	yes	complemented
74	#17988905	C₂²	1	2	yes	complemented
75	#17988904	C₂²	1	2	yes	complemented
76	#17988904	C₂²	1	2	yes	complemented
77	#17988903	C₂²	1	2	yes	complemented
78	#17988902	C₂²	1	2	yes	complemented
79	#17988902	C₂²	1	2	yes	complemented
80	#17988901	C₂²	1	2	yes	complemented
81	#17988900	C₂²	1	2	yes	complemented
82	#17988899	C₂²	1	2	yes	complemented
83	#17988899	C₂²	1	2	yes	complemented
84	#17988898	C₂²	1	2	yes	complemented
85	#17988630	C₂²	1	1	yes	characteristic, complemented
86	#17988629	C₂²	1	1	yes	characteristic, complemented
87	#17988628	C₂²	1	2	yes	complemented
88	#17988627	C₂²	1	1	yes	characteristic, complemented
89	#17988626	C₂²	1	2	yes	complemented
90	#17988625	C₂²	1	1	yes	characteristic, complemented
91	#17988624	C₂²	1	1	yes	characteristic, complemented
92	#17988624	C₂²	1	1	yes	characteristic, complemented
93	#17988623	C₂²	1	1	yes	characteristic, complemented
94	#17988623	C₂²	1	1	yes	characteristic, complemented
95	#17988622	C₂²	1	1	yes	characteristic, complemented
96	#17988622	C₂²	1	1	yes	characteristic, complemented
97	#107×D₇₃	C₂²	1	1	yes	characteristic, complemented
98	#107×D₇₃	C₂²	1	1	yes	characteristic, complemented
99	#107×D₇₃	C₂²	1	2	yes	complemented
100	#106×D₇₃	C₂²	1	1	yes	characteristic, complemented
101	#106×D₇₃	C₂²	1	1	yes	characteristic, complemented
102	#106×D₇₃	C₂²	1	2	yes	complemented
103	#17988593	C₂²	1	1	yes	characteristic, complemented
104	#17988592	C₂²	1	1	yes	characteristic, complemented
105	#17988591	C₂²	1	1	yes	characteristic, complemented
106	#17988590	C₂²	1	2	yes	complemented
107	#17988590	C₂²	1	2	yes	complemented
108	C₂×#14556513	C₂²	1	1	yes	characteristic, complemented
109	C₂×#14556512	C₂²	1	1	yes	characteristic, complemented
110	C₂×#14556511	C₂²	1	1	yes	characteristic, complemented
111	#102×D₇₃	C₂²	1	2	yes	—
112	#102×D₇₃	C₂²	1	2	yes	—
113	#102×D₇₃	C₂²	1	2	yes	—
114	#102×D₇₃	C₂²	1	2	yes	—
115	#102×D₇₃	C₂²	1	2	yes	complemented
116	#102×D₇₃	C₂²	1	2	yes	complemented
117	#17988555	C₂²	1	1	yes	characteristic, complemented
118	#17988554	C₂²	1	1	yes	characteristic, complemented
119	#17988553	C₂²	1	1	yes	characteristic, complemented
120	#17988552	C₂²	1	2	yes	complemented
121	#17988552	C₂²	1	2	yes	complemented
122	C₂²⋊C₈×D₇₃	C₂²	1	2	yes	complemented
123	C₂²⋊C₈×D₇₃	C₂²	1	2	yes	complemented
124	#535×C₇₃	C₂²	1	1	yes	characteristic
125	#520×C₇₃	C₂²	1	1	yes	characteristic, complemented
126	#482×C₇₃	C₂²	1	2	yes	complemented
127	#482×C₇₃	C₂²	1	2	yes	complemented
128	#481×C₇₃	C₂²	1	2	yes	complemented
129	#480×C₇₃	C₂²	1	2	yes	complemented
130	#428×C₇₃	C₂²	1	1	yes	characteristic, complemented
131	#427×C₇₃	C₂²	1	1	yes	characteristic, complemented
132	#418×C₇₃	C₂²	1	1	yes	characteristic, complemented
133	C₂×#102×C₇₃	C₂²	1	1	yes	characteristic, complemented
134	#408×C₇₃	C₂²	1	1	yes	characteristic, complemented
135	C₂⁴×D₇₃	—	2	1	no	—
136	C₂×#11924029	D₄	1	1	yes	characteristic
137	C₂×#11924028	C₂³	1	2	yes	—
138	C₂×#11924028	C₂³	1	1	yes	characteristic
139	C₂×#11924027	D₄	1	1	yes	characteristic
140	C₂×#11924027	D₄	1	2	yes	—
141	#41×D₇₃	—	2	4	no	—
142	#41×D₇₃	—	2	4	no	—
143	C₂×Q₈×D₇₃	D₄	1	1	yes	characteristic
144	C₂²×D₂₉₂	C₂³	1	1	yes	characteristic
145	C₂²×C₂²⋊D₇₃	—	2	1	no	—
146	C₂×D₄×D₇₃	—	2	2	no	—
147	C₂×D₄×D₇₃	—	2	2	no	—
148	C₂×D₄×D₇₃	—	2	1	no	—
149	C₂×D₄×D₇₃	—	2	1	no	—
150	C₂×D₄×D₇₃	—	2	4	no	—
151	C₂×D₄×D₇₃	—	2	4	no	—
152	C₂×D₄×D₇₃	D₄	1	1	yes	characteristic
153	C₂×D₄×D₇₃	D₄	1	2	yes	—
154	C₂×D₄×D₇₃	C₂³	1	2	yes	—
155	C₂×D₄×D₇₃	C₂³	1	2	yes	—
156	C₂²×C₄×D₇₃	—	2	1	no	—
157	C₂²×C₄×D₇₃	—	2	2	no	—
158	C₂²×C₄×D₇₃	C₂³	1	2	yes	—
159	C₂²×C₄×D₇₃	C₂³	1	1	yes	characteristic
160	C₂×#11924012	C₂³	1	1	yes	characteristic
161	C₂×#11924011	C₂³	1	2	yes	—
162	M₁₆×D₇₃	—	2	4	no	—
163	C₂²×#10596831	C₂³	1	1	yes	characteristic
164	C₂×C₈×D₇₃	—	2	4	no	—
165	C₂×C₈×D₇₃	C₂³	1	1	yes	characteristic
166	C₂×C₈×D₇₃	C₂³	1	2	yes	—
167	C₂×C₈×D₇₃	C₂³	1	1	yes	characteristic
168	C₂×C₈×D₇₃	C₂³	1	1	yes	characteristic
169	C₂×C₈×D₇₃	C₂³	1	1	yes	characteristic
170	#14556588	—	2	1	no	—
171	#14556587	—	2	1	no	—
172	#14556587	—	2	2	no	—
173	#14556587	—	2	2	no	—
174	#14556587	—	2	1	no	—
175	#14556580	—	2	1	no	—
176	#14556579	—	2	1	no	—
177	#14556578	—	2	1	no	—
178	#14556577	—	2	2	no	—
179	#14556577	—	2	2	no	—
180	#14556566	C₂³	1	2	yes	—
181	#14556566	C₂³	1	2	yes	—
182	#14556565	C₂³	1	2	yes	—
183	#14556565	C₂³	1	2	yes	—
184	#14556564	—	2	2	no	—
185	#14556564	—	2	2	no	—
186	#14556563	—	2	2	no	—
187	#14556563	—	2	2	no	—
188	#14556562	C₂³	1	2	yes	—
189	#14556562	C₂³	1	2	yes	—
190	#14556561	—	2	2	no	—
191	#14556561	—	2	2	no	—
192	#14556561	—	2	2	no	—
193	#14556560	—	2	2	no	—
194	#14556559	—	2	2	no	—
195	#14556559	—	2	2	no	—
196	#14556559	—	2	2	no	—
197	Q₈×Dic₇₃	—	2	1	no	—
198	C₄×Dic₁₄₆	—	2	1	no	—
199	C₄×Dic₁₄₆	—	2	2	no	—
200	#14556556	—	2	1	no	—
201	#14556556	—	2	2	no	—
202	C₄×D₂₉₂	—	2	1	no	—
203	C₄×D₂₉₂	—	2	2	no	—
204	D₄×Dic₇₃	—	2	2	no	—
205	D₄×Dic₇₃	—	2	1	no	—
206	#14556553	—	2	1	no	—
207	#14556553	—	2	2	no	—
208	C₄×C₂²⋊D₇₃	—	2	2	no	—
209	C₄×C₂²⋊D₇₃	—	2	2	no	—
210	C₄×C₂²⋊D₇₃	—	2	2	no	—
211	#14556551	—	2	2	no	—
212	#14556551	—	2	2	no	—
213	#14556551	—	2	2	no	—
214	#14556550	C₂³	1	1	yes	characteristic
215	#14556550	C₂³	1	1	yes	characteristic
216	#14556550	C₂³	1	2	yes	complemented
217	#14556549	C₂³	1	1	yes	characteristic
218	#14556549	C₂³	1	1	yes	characteristic
219	#14556549	C₂³	1	1	yes	characteristic
220	#14556549	C₂³	1	1	yes	characteristic
221	#14556549	C₂³	1	2	yes	complemented
222	#14556549	C₂³	1	2	yes	complemented
223	#14556548	—	2	1	no	—
224	#14556548	—	2	1	no	—
225	#14556548	—	2	2	no	—
226	#14556547	—	2	1	no	—
227	#14556547	—	2	1	no	—
228	#14556547	—	2	2	no	—
229	C₂×C₄⋊Dic₇₃	C₂³	1	1	yes	characteristic
230	C₂×C₄⋊Dic₇₃	C₂³	1	2	yes	complemented
231	C₂×#11924007	—	2	1	no	—
232	C₂×#11924007	—	2	2	no	—
233	C₄⋊C₄×D₇₃	—	2	1	no	—
234	C₄⋊C₄×D₇₃	—	2	1	no	—
235	C₄⋊C₄×D₇₃	—	2	2	no	—
236	C₄⋊C₄×D₇₃	—	2	2	no	—
237	C₄⋊C₄×D₇₃	C₂³	1	1	yes	characteristic
238	C₄⋊C₄×D₇₃	C₂³	1	1	yes	characteristic
239	C₄⋊C₄×D₇₃	C₂³	1	2	yes	—
240	C₄⋊C₄×D₇₃	C₂³	1	1	yes	characteristic
241	C₄⋊C₄×D₇₃	C₂³	1	1	yes	characteristic
242	C₄⋊C₄×D₇₃	C₂³	1	2	yes	—
243	C₄⋊C₄×D₇₃	C₂³	1	2	yes	complemented
244	C₄⋊C₄×D₇₃	C₂³	1	2	yes	complemented
245	C₂²⋊C₄×D₇₃	—	2	1	no	—
246	C₂²⋊C₄×D₇₃	—	2	1	no	—
247	C₂²⋊C₄×D₇₃	—	2	2	no	—
248	C₂²⋊C₄×D₇₃	—	2	2	no	—
249	C₂²⋊C₄×D₇₃	—	2	2	no	—
250	C₄²×D₇₃	—	2	1	no	—
251	C₄²×D₇₃	—	2	1	no	—
252	C₄²×D₇₃	—	2	2	no	—
253	#14556525	C₂³	1	1	yes	characteristic, complemented
254	#14556525	C₂³	1	1	yes	characteristic, complemented
255	#14556525	C₂³	1	2	yes	complemented
256	#14556524	C₂³	1	1	yes	characteristic, complemented
257	#14556524	C₂³	1	1	yes	characteristic, complemented
258	#14556524	C₂³	1	1	yes	characteristic, complemented
259	#14556524	C₂³	1	1	yes	characteristic, complemented
260	#14556524	C₂³	1	2	yes	complemented
261	#14556524	C₂³	1	2	yes	complemented
262	#14556523	C₂³	1	1	yes	characteristic, complemented
263	#14556523	C₂³	1	1	yes	characteristic, complemented
264	#14556523	C₂³	1	2	yes	complemented
265	#14556522	C₂³	1	1	yes	characteristic, complemented
266	#14556522	C₂³	1	1	yes	characteristic, complemented
267	#14556522	C₂³	1	1	yes	characteristic, complemented
268	#14556522	C₂³	1	1	yes	characteristic, complemented
269	#14556522	C₂³	1	2	yes	complemented
270	#14556522	C₂³	1	2	yes	complemented
271	#14556513	C₂³	1	2	yes	—
272	#14556513	C₂³	1	2	yes	—
273	#14556513	C₂³	1	2	yes	—
274	#14556513	C₂³	1	2	yes	—
275	#14556512	C₂³	1	2	yes	—
276	#14556512	C₂³	1	2	yes	—
277	#14556512	C₂³	1	2	yes	—
278	#14556512	C₂³	1	2	yes	—
279	#14556511	C₂³	1	2	yes	—
280	#14556511	C₂³	1	2	yes	—
281	#14556511	C₂³	1	2	yes	—
282	#14556511	C₂³	1	2	yes	—
283	C₂²⋊#10596831	C₂³	1	2	yes	complemented
284	C₂²⋊#10596831	C₂³	1	2	yes	complemented
285	#14556503	C₂³	1	2	yes	complemented
286	#14556503	C₂³	1	2	yes	complemented
287	#14556503	C₂³	1	2	yes	complemented
288	#14556503	C₂³	1	2	yes	complemented
289	C₂×#41×C₇₃	C₂³	1	1	yes	characteristic
290	C₂²×D₄×C₇₃	C₂³	1	1	yes	characteristic
291	C₂×M₁₆×C₇₃	C₂³	1	1	yes	characteristic
292	C₂²×C₈×C₇₃	C₂³	1	1	yes	characteristic
293	#127×C₇₃	—	2	1	no	—
294	#124×C₇₃	—	2	1	no	—
295	#121×C₇₃	C₂³	1	2	yes	—
296	#121×C₇₃	C₂³	1	2	yes	—
297	#120×C₇₃	—	2	2	no	—
298	C₄×Q₈×C₇₃	—	2	1	no	—
299	C₄×D₄×C₇₃	—	2	1	no	—
300	C₄×D₄×C₇₃	—	2	2	no	—
301	#117×C₇₃	C₂³	1	1	yes	characteristic
302	#117×C₇₃	C₂³	1	1	yes	characteristic
303	#117×C₇₃	C₂³	1	2	yes	complemented
304	C₂×C₄⋊C₄×C₇₃	C₂³	1	1	yes	characteristic
305	C₂×C₄⋊C₄×C₇₃	C₂³	1	2	yes	complemented
306	#107×C₇₃	C₂³	1	1	yes	characteristic, complemented
307	#107×C₇₃	C₂³	1	1	yes	characteristic, complemented
308	#107×C₇₃	C₂³	1	2	yes	complemented
309	#106×C₇₃	C₂³	1	1	yes	characteristic, complemented
310	#106×C₇₃	C₂³	1	1	yes	characteristic, complemented
311	#106×C₇₃	C₂³	1	2	yes	complemented
312	#102×C₇₃	C₂³	1	2	yes	—
313	#102×C₇₃	C₂³	1	2	yes	—
314	#102×C₇₃	C₂³	1	2	yes	—
315	#102×C₇₃	C₂³	1	2	yes	—
316	C₂²⋊C₈×C₇₃	C₂³	1	2	yes	complemented
317	C₂²⋊C₈×C₇₃	C₂³	1	2	yes	complemented
318	C₂³×D₇₃	—	2	1	no	—
319	C₂³×D₇₃	—	2	2	no	—
320	C₂³×D₇₃	—	2	2	no	—
321	C₂³×D₇₃	—	4	4	no	—
322	C₂³×D₇₃	—	8	2	no	—
323	C₂³×D₇₃	—	8	2	no	—
324	C₂³×D₇₃	C₂×D₄	1	2	yes	—
325	C₂³×D₇₃	C₂×D₄	1	1	yes	characteristic
326	#11924029	—	2	4	no	—
327	#11924028	—	2	2	no	—
328	#11924028	—	2	2	no	—
329	#11924028	—	2	4	no	—
330	#11924028	—	2	4	no	—
331	#11924027	—	2	8	no	—
332	#11924027	—	2	4	no	—
333	C₂×Dic₁₄₆	C₂×D₄	1	2	yes	—
334	C₂×Dic₁₄₆	C₂×D₄	1	1	yes	characteristic
335	Q₈×D₇₃	—	2	4	no	—
336	C₂×D₂₉₂	—	2	2	no	—
337	C₂×D₂₉₂	—	2	2	no	—
338	C₂×D₂₉₂	—	2	1	no	—
339	C₂×D₂₉₂	—	2	2	no	—
340	C₂×D₂₉₂	—	2	2	no	—
341	C₂×D₂₉₂	C₂×D₄	1	2	yes	—
342	C₂×D₂₉₂	C₂×D₄	1	1	yes	characteristic
343	C₂×D₂₉₂	C₂⁴	1	2	yes	—
344	C₂×C₂²⋊D₇₃	—	2	2	no	—
345	C₂×C₂²⋊D₇₃	—	2	2	no	—
346	C₂×C₂²⋊D₇₃	—	2	2	no	—
347	C₂×C₂²⋊D₇₃	—	2	2	no	—
348	C₂×C₂²⋊D₇₃	—	2	2	no	—
349	C₂×C₂²⋊D₇₃	—	2	2	no	—
350	C₂×C₂²⋊D₇₃	—	4	4	no	—
351	C₂×C₂²⋊D₇₃	C₂×D₄	1	2	yes	—
352	C₂×C₂²⋊D₇₃	C₂×D₄	1	2	yes	—
353	C₂×C₂²⋊D₇₃	C₂×D₄	1	2	yes	—
354	D₄×D₇₃	—	2	8	no	—
355	D₄×D₇₃	—	2	4	no	—
356	D₄×D₇₃	—	2	4	no	—
357	D₄×D₇₃	—	2	4	no	—
358	D₄×D₇₃	—	2	4	no	—
359	D₄×D₇₃	—	2	4	no	—
360	D₄×D₇₃	—	4	4	no	—
361	D₄×D₇₃	—	4	4	no	—
362	D₄×D₇₃	—	8	4	no	—
363	D₄×D₇₃	—	8	4	no	—
364	C₂²×Dic₇₃	—	2	1	no	—
365	C₂²×Dic₇₃	—	2	2	no	—
366	C₂²×Dic₇₃	C₂×D₄	1	2	yes	—
367	C₂²×Dic₇₃	C₂×D₄	1	1	yes	characteristic
368	C₂×C₄×D₇₃	—	2	4	no	—
369	C₂×C₄×D₇₃	—	2	4	no	—
370	C₂×C₄×D₇₃	—	2	1	no	—
371	C₂×C₄×D₇₃	—	2	1	no	—
372	C₂×C₄×D₇₃	—	2	1	no	—
373	C₂×C₄×D₇₃	—	2	1	no	—
374	C₂×C₄×D₇₃	—	2	2	no	—
375	C₂×C₄×D₇₃	—	2	2	no	—
376	C₂×C₄×D₇₃	—	2	2	no	—
377	C₂×C₄×D₇₃	—	2	2	no	—
378	C₂×C₄×D₇₃	—	8	2	no	—
379	C₂×C₄×D₇₃	—	8	4	no	—
380	C₂×C₄×D₇₃	C₂×D₄	1	2	yes	—
381	C₂×C₄×D₇₃	C₂×D₄	1	2	yes	—
382	C₂×C₄×D₇₃	C₂×D₄	1	1	yes	characteristic
383	C₂×C₄×D₇₃	C₂×D₄	1	1	yes	characteristic
384	C₂×C₄×D₇₃	#41	1	4	yes	—
385	C₂×C₄×D₇₃	#41	1	4	yes	—
386	C₂×C₄×D₇₃	C₂⁴	1	2	yes	—
387	C₂×C₄×D₇₃	C₂⁴	1	1	yes	characteristic
388	C₂×C₄×D₇₃	C₂⁴	1	1	yes	characteristic
389	#11924012	—	2	2	no	—
390	#11924011	—	2	4	no	—
391	C₂×#10596831	—	2	2	no	—
392	C₂×#10596831	C₂⁴	1	1	yes	characteristic
393	C₂×#10596831	C₂⁴	1	2	yes	—
394	C₂×#10596831	C₂⁴	1	1	yes	characteristic
395	C₈×D₇₃	—	2	2	no	—
396	C₈×D₇₃	—	2	2	no	—
397	C₈×D₇₃	—	2	2	no	—
398	C₈×D₇₃	—	2	2	no	—
399	C₈×D₇₃	—	2	4	no	—
400	C₄⋊Dic₇₃	—	2	1	no	—
401	C₄⋊Dic₇₃	—	2	2	no	—
402	C₄⋊Dic₇₃	C₂⁴	1	2	yes	—
403	C₄⋊Dic₇₃	C₂⁴	1	1	yes	characteristic
404	C₄⋊Dic₇₃	C₂⁴	1	1	yes	characteristic
405	C₄⋊Dic₇₃	C₂⁴	1	1	yes	characteristic
406	C₄⋊Dic₇₃	C₂⁴	1	1	yes	characteristic
407	#11924007	—	2	2	no	—
408	#11924007	—	2	1	no	—
409	#11924007	—	2	2	no	—
410	#11924007	—	2	2	no	—
411	#11924007	—	2	2	no	—
412	#11924007	—	2	1	no	—
413	#11924007	—	2	1	no	—
414	#11924007	—	2	1	no	—
415	C₂²⋊Dic₇₃	—	2	1	no	—
416	C₂²⋊Dic₇₃	—	2	1	no	—
417	C₂²⋊Dic₇₃	—	2	2	no	—
418	C₂²⋊Dic₇₃	—	2	2	no	—
419	C₂²⋊Dic₇₃	—	2	2	no	—
420	#11924005	—	2	1	no	—
421	#11924005	—	2	1	no	—
422	#11924005	—	2	1	no	—
423	#11924005	—	2	1	no	—
424	#11924005	—	2	2	no	—
425	#11924005	—	2	2	no	—
426	#11924005	—	2	2	no	—
427	#11924005	—	2	2	no	—
428	#11924005	—	2	2	no	—
429	#11924005	—	2	2	no	—
430	C₄×Dic₇₃	—	2	1	no	—
431	C₄×Dic₇₃	—	2	1	no	—
432	C₄×Dic₇₃	—	2	2	no	—
433	C₄×Dic₇₃	—	2	1	no	—
434	C₄×Dic₇₃	—	2	1	no	—
435	C₄×Dic₇₃	—	2	1	no	—
436	C₄×Dic₇₃	—	2	1	no	—
437	C₄×Dic₇₃	—	2	2	no	—
438	C₄×Dic₇₃	—	2	2	no	—
439	C₂⁴×C₇₃	—	2	1	no	—
440	#41×C₇₃	—	2	2	no	—
441	#41×C₇₃	—	2	2	no	—
442	C₂×Q₈×C₇₃	C₂×D₄	1	1	yes	characteristic
443	C₂×D₄×C₇₃	—	2	2	no	—
444	C₂×D₄×C₇₃	—	2	2	no	—
445	C₂×D₄×C₇₃	—	2	1	no	—
446	C₂×D₄×C₇₃	—	2	2	no	—
447	C₂×D₄×C₇₃	—	2	2	no	—
448	C₂×D₄×C₇₃	C₂×D₄	1	2	yes	—
449	C₂×D₄×C₇₃	C₂×D₄	1	1	yes	characteristic
450	C₂×D₄×C₇₃	C₂⁴	1	2	yes	—
451	C₂²×C₄×C₇₃	—	2	1	no	—
452	C₂²×C₄×C₇₃	—	2	2	no	—
453	C₂²×C₄×C₇₃	C₂⁴	1	2	yes	—
454	C₂²×C₄×C₇₃	C₂⁴	1	1	yes	characteristic
455	M₁₆×C₇₃	—	2	2	no	—
456	C₂×C₈×C₇₃	—	2	2	no	—
457	C₂×C₈×C₇₃	C₂⁴	1	1	yes	characteristic
458	C₂×C₈×C₇₃	C₂⁴	1	2	yes	—
459	C₂×C₈×C₇₃	C₂⁴	1	1	yes	characteristic
460	C₄⋊C₄×C₇₃	—	2	1	no	—
461	C₄⋊C₄×C₇₃	—	2	2	no	—
462	C₄⋊C₄×C₇₃	C₂⁴	1	2	yes	—
463	C₄⋊C₄×C₇₃	C₂⁴	1	1	yes	characteristic
464	C₄⋊C₄×C₇₃	C₂⁴	1	1	yes	characteristic
465	C₄⋊C₄×C₇₃	C₂⁴	1	1	yes	characteristic
466	C₄⋊C₄×C₇₃	C₂⁴	1	1	yes	characteristic
467	C₂²⋊C₄×C₇₃	—	2	1	no	—
468	C₂²⋊C₄×C₇₃	—	2	1	no	—
469	C₂²⋊C₄×C₇₃	—	2	2	no	—
470	C₂²⋊C₄×C₇₃	—	2	2	no	—
471	C₂²⋊C₄×C₇₃	—	2	2	no	—
472	C₄²×C₇₃	—	2	1	no	—
473	C₄²×C₇₃	—	2	1	no	—
474	C₄²×C₇₃	—	2	2	no	—
475	C₂³×C₇₃	—	2	2	no	—
476	C₂³×C₇₃	—	4	2	no	—
477	C₂³×C₇₃	—	8	1	no	—
478	C₂³×C₇₃	—	8	1	no	—
479	C₂³×C₇₃	C₂²×D₄	1	2	yes	—
480	C₂³×C₇₃	C₂²×D₄	1	1	yes	characteristic
481	C₂²×D₇₃	—	2	2	no	—
482	C₂²×D₇₃	—	2	2	no	—
483	C₂²×D₇₃	—	2	4	no	—
484	C₂²×D₇₃	—	2	4	no	—
485	C₂²×D₇₃	—	2	4	no	—
486	C₂²×D₇₃	—	2	2	no	—
487	C₂²×D₇₃	—	4	2	no	—
488	C₂²×D₇₃	—	4	4	no	—
489	C₂²×D₇₃	—	4	4	no	—
490	C₂²×D₇₃	—	4	4	no	—
491	C₂²×D₇₃	—	4	4	no	—
492	C₂²×D₇₃	—	8	2	no	—
493	C₂²×D₇₃	—	8	2	no	—
494	C₂²×D₇₃	—	8	16	no	—
495	C₂²×D₇₃	—	8	1	no	—
496	C₂²×D₇₃	—	8	1	no	—
497	C₂²×D₇₃	#123	1	4	yes	—
498	C₂²×D₇₃	C₂²×D₄	1	2	yes	—
499	C₂²×D₇₃	C₂²×D₄	1	1	yes	characteristic
500	C₂²×D₇₃	C₂²×D₄	1	1	yes	characteristic
501	Q₈×C₇₃	—	2	2	no	—
502	D₄×C₇₃	—	2	4	no	—
503	D₄×C₇₃	—	2	2	no	—
504	D₄×C₇₃	—	2	2	no	—
505	D₄×C₇₃	—	2	2	no	—
506	D₄×C₇₃	—	4	2	no	—
507	D₄×C₇₃	—	8	2	no	—
508	D₄×C₇₃	—	8	2	no	—
509	C₂×C₄×C₇₃	—	2	2	no	—
510	C₂×C₄×C₇₃	—	2	2	no	—
511	C₂×C₄×C₇₃	—	2	1	no	—
512	C₂×C₄×C₇₃	—	2	1	no	—
513	C₂×C₄×C₇₃	—	2	1	no	—
514	C₂×C₄×C₇₃	—	2	1	no	—
515	C₂×C₄×C₇₃	—	2	2	no	—
516	C₂×C₄×C₇₃	—	8	1	no	—
517	C₂×C₄×C₇₃	—	8	2	no	—
518	C₂×C₄×C₇₃	C₂²×D₄	1	2	yes	—
519	C₂×C₄×C₇₃	C₂²×D₄	1	1	yes	characteristic
520	C₂×C₄×C₇₃	C₂×#41	1	2	yes	—
521	C₂×C₄×C₇₃	C₂×#41	1	2	yes	—
522	C₂×C₄×C₇₃	C₂⁵	1	1	yes	characteristic
523	C₂²⋊D₇₃	—	2	4	no	—
524	C₂²⋊D₇₃	—	2	4	no	—
525	C₂²⋊D₇₃	—	2	4	no	—
526	C₂²⋊D₇₃	—	4	4	no	—
527	C₂²⋊D₇₃	—	4	4	no	—
528	C₂²⋊D₇₃	—	8	2	no	—
529	C₂²⋊D₇₃	—	8	2	no	—
530	C₂²⋊D₇₃	—	8	2	no	—
531	C₂²⋊D₇₃	—	8	2	no	—
532	C₂×Dic₇₃	—	2	4	no	—
533	C₂×Dic₇₃	—	2	1	no	—
534	C₂×Dic₇₃	—	2	1	no	—
535	C₂×Dic₇₃	—	2	1	no	—
536	C₂×Dic₇₃	—	2	1	no	—
537	C₂×Dic₇₃	—	2	2	no	—
538	C₂×Dic₇₃	—	8	1	no	—
539	C₂×Dic₇₃	—	8	2	no	—
540	C₂×Dic₇₃	#123	1	4	yes	—
541	C₂×Dic₇₃	C₂²×D₄	1	2	yes	—
542	C₂×Dic₇₃	C₂²×D₄	1	1	yes	characteristic
543	C₂×Dic₇₃	C₂²×D₄	1	1	yes	characteristic
544	D₂₉₂	—	2	4	no	—
545	D₂₉₂	—	2	2	no	—
546	D₂₉₂	—	2	2	no	—
547	D₂₉₂	—	2	2	no	—
548	D₂₉₂	—	4	2	no	—
549	D₂₉₂	—	8	2	no	—
550	D₂₉₂	—	8	2	no	—
551	C₄×D₇₃	—	2	4	no	—
552	C₄×D₇₃	—	2	2	no	—
553	C₄×D₇₃	—	2	2	no	—
554	C₄×D₇₃	—	2	4	no	—
555	C₄×D₇₃	—	4	2	no	—
556	C₄×D₇₃	—	4	4	no	—
557	C₄×D₇₃	—	4	2	no	—
558	C₄×D₇₃	—	4	2	no	—
559	C₄×D₇₃	—	4	2	no	—
560	C₄×D₇₃	—	8	2	no	—
561	C₄×D₇₃	—	8	2	no	—
562	C₄×D₇₃	—	8	2	no	—
563	C₄×D₇₃	#123	1	4	yes	—
564	C₄×D₇₃	#123	1	4	yes	—
565	C₄×D₇₃	C₂×#41	1	2	yes	—
566	C₄×D₇₃	C₂×#41	1	2	yes	—
567	C₄×D₇₃	C₂×#41	1	2	yes	—
568	C₄×D₇₃	C₂×#41	1	2	yes	—
569	Dic₁₄₆	—	2	2	no	—
570	Dic₁₄₆	—	2	4	no	—
571	C₈×C₇₃	—	2	1	no	—
572	C₈×C₇₃	—	2	1	no	—
573	C₈×C₇₃	—	2	2	no	—
574	#10596831	—	2	1	no	—
575	#10596831	—	2	1	no	—
576	#10596831	—	2	2	no	—
577	C₂²×C₇₃	—	2	1	no	—
578	C₂²×C₇₃	—	2	1	no	—
579	C₂²×C₇₃	—	2	2	no	—
580	C₂²×C₇₃	—	2	2	no	—
581	C₂²×C₇₃	—	2	2	no	—
582	C₂²×C₇₃	—	4	2	no	—
583	C₂²×C₇₃	—	4	2	no	—
584	C₂²×C₇₃	—	4	2	no	—
585	C₂²×C₇₃	—	8	4	no	—
586	C₂²×C₇₃	C₂×#123	1	2	yes	—
587	C₂²×C₇₃	C₂³×D₄	1	1	yes	characteristic
588	C₂×D₇₃	—	2	1	no	—
589	C₂×D₇₃	—	2	1	no	—
590	C₂×D₇₃	—	2	8	no	—
591	C₂×D₇₃	—	2	2	no	—
592	C₂×D₇₃	—	2	2	no	—
593	C₂×D₇₃	—	2	2	no	—
594	C₂×D₇₃	—	4	8	no	—
595	C₂×D₇₃	—	4	2	no	—
596	C₂×D₇₃	—	4	2	no	—
597	C₂×D₇₃	—	4	2	no	—
598	C₂×D₇₃	—	8	8	no	—
599	C₂×D₇₃	—	8	4	no	—
600	C₂×D₇₃	—	8	8	no	—
601	C₂×D₇₃	C₂×#123	1	2	yes	—
602	C₂×D₇₃	C₂×#123	1	2	yes	—
603	C₂×D₇₃	#576	1	2	yes	—
604	C₂×D₇₃	#577	1	2	yes	—
605	C₄×C₇₃	—	2	2	no	—
606	C₄×C₇₃	—	4	2	no	—
607	C₄×C₇₃	—	4	1	no	—
608	C₄×C₇₃	—	4	1	no	—
609	C₄×C₇₃	—	4	1	no	—
610	C₄×C₇₃	—	4	1	no	—
611	C₄×C₇₃	C₂×#123	1	2	yes	—
612	C₄×C₇₃	C₂²×#41	1	1	yes	characteristic
613	C₄×C₇₃	C₂²×#41	1	1	yes	characteristic
614	Dic₇₃	—	2	2	no	—
615	Dic₇₃	—	4	2	no	—
616	Dic₇₃	—	4	1	no	—
617	Dic₇₃	—	4	1	no	—
618	Dic₇₃	—	4	1	no	—
619	Dic₇₃	—	4	1	no	—
620	Dic₇₃	C₂×#123	1	2	yes	—
621	Dic₇₃	C₂×#123	1	2	yes	—
622	C₂×#3096	—	73	1	no	maximal, Sylow
623	C₂×C₇₃	—	2	2	no	—
624	C₂×C₇₃	—	4	2	no	—
625	C₂×C₇₃	—	8	2	no	—
626	C₂×C₇₃	C₂²×#123	1	1	yes	characteristic
627	C₂×C₇₃	C₂×#576	1	1	yes	characteristic
628	C₂×C₇₃	C₂×#577	1	1	yes	characteristic
629	D₇₃	—	2	2	no	—
630	D₇₃	—	4	2	no	—
631	D₇₃	—	8	2	no	—
632	D₇₃	#3096	1	4	yes	direct product factor
633	C₂×#535	—	73	1	no	—
634	C₂×#520	—	73	1	no	—
635	#3096	—	73	2	no	—
636	#3096	—	73	2	no	—
637	#3096	—	73	2	no	—
638	#3096	—	73	2	no	—
639	#3096	—	73	1	no	—
640	#3096	—	73	1	no	—
641	#3096	—	73	1	no	—
642	#3096	—	73	1	no	—
643	#3096	—	73	1	no	—
644	#3096	—	73	1	no	—
645	#3096	—	73	1	no	—
646	#3096	D₇₃	1	1	yes	characteristic, direct product factor
647	C₂×#481	—	73	2	no	—
648	C₂×#482	—	73	2	no	—
649	C₂×#482	—	73	2	no	—
650	C₂×#480	—	73	2	no	—
651	C₂×#428	—	73	1	no	—
652	C₂×#427	—	73	1	no	—
653	C₂×#418	—	73	1	no	—
654	C₂²×#102	—	73	1	no	—
655	C₂×#408	—	73	1	no	—
656	C₇₃	C₂×#3096	1	1	yes	characteristic, complemented, Sylow
657	C₂²×#41	—	73	1	no	—
658	C₂³×D₄	—	73	1	no	—
659	C₂²×M₁₆	—	73	1	no	—
660	C₂³×C₈	—	73	1	no	—
661	#535	—	73	1	no	—
662	#535	—	73	1	no	—
663	#535	—	73	2	no	—
664	#535	—	73	2	no	—
665	#535	—	73	1	no	—
666	#535	—	146	2	no	—
667	#535	—	146	1	no	—
668	#535	—	146	1	no	—
669	#535	C₂×D₇₃	1	1	yes	characteristic
670	C₂×#127	—	146	1	no	—
671	C₂×#124	—	146	1	no	—
672	C₂×#121	—	73	2	no	—
673	C₂×#121	—	73	2	no	—
674	C₂×#120	—	146	2	no	—
675	#520	—	73	1	no	—
676	#520	—	73	1	no	—
677	#520	—	73	2	no	—
678	#520	—	73	1	no	—
679	#520	—	73	2	no	—
680	#520	—	146	1	no	—
681	#520	—	146	2	no	—
682	#520	—	146	1	no	—
683	#520	C₂×D₇₃	1	1	yes	characteristic, complemented
684	C₂×C₄×Q₈	—	146	1	no	—
685	C₂×C₄×D₄	—	146	2	no	—
686	C₂×C₄×D₄	—	146	1	no	—
687	C₂×#117	—	73	1	no	—
688	C₂×#117	—	73	1	no	—
689	C₂×#117	—	73	2	no	—
690	C₂²×C₄⋊C₄	—	73	1	no	—
691	C₂²×C₄⋊C₄	—	73	2	no	—
692	#482	—	73	2	no	—
693	#482	—	73	2	no	—
694	#482	—	73	2	no	—
695	#482	—	73	2	no	—
696	#482	—	73	2	no	—
697	#482	—	73	2	no	—
698	#482	—	73	2	no	—
699	#482	—	73	2	no	—
700	#482	—	73	2	no	—
701	#482	—	73	2	no	—
702	#482	—	73	2	no	—
703	#482	—	73	2	no	—
704	#482	—	73	2	no	—
705	#482	—	73	2	no	—
706	#482	C₂×D₇₃	1	2	yes	complemented
707	#482	C₂×D₇₃	1	2	yes	complemented
708	#481	—	73	2	no	—
709	#481	—	73	2	no	—
710	#481	—	73	2	no	—
711	#481	—	73	2	no	—
712	#481	—	73	2	no	—
713	#481	—	73	2	no	—
714	#481	—	73	2	no	—
715	#481	C₂×D₇₃	1	2	yes	complemented
716	#480	—	73	2	no	—
717	#480	—	73	2	no	—
718	#480	—	73	2	no	—
719	#480	—	73	2	no	—
720	#480	—	73	2	no	—
721	#480	—	73	2	no	—
722	#480	—	73	2	no	—
723	#480	C₂×D₇₃	1	2	yes	complemented
724	#428	—	73	1	no	—
725	#428	—	73	1	no	—
726	#428	—	73	1	no	—
727	#428	—	73	2	no	—
728	#428	—	73	2	no	—
729	#428	C₂×D₇₃	1	1	yes	characteristic, complemented
730	#427	—	73	1	no	—
731	#427	—	73	1	no	—
732	#427	—	73	1	no	—
733	#427	—	73	1	no	—
734	#427	—	73	1	no	—
735	#427	—	73	1	no	—
736	#427	—	73	1	no	—
737	#427	C₂×D₇₃	1	1	yes	characteristic, complemented
738	C₂×#107	—	73	1	no	—
739	C₂×#107	—	73	2	no	—
740	C₂×#107	—	73	1	no	—
741	C₂×#106	—	73	1	no	—
742	C₂×#106	—	73	2	no	—
743	C₂×#106	—	73	1	no	—
744	#418	—	73	1	no	—
745	#418	—	73	1	no	—
746	#418	—	73	1	no	—
747	#418	—	73	2	no	—
748	#418	—	73	2	no	—
749	#418	C₂×D₇₃	1	1	yes	characteristic, complemented
750	C₂×#102	—	73	1	no	—
751	C₂×#102	—	73	1	no	—
752	C₂×#102	—	73	1	no	—
753	C₂×#102	—	73	2	no	—
754	C₂×#102	—	73	2	no	—
755	C₂×#102	—	73	2	no	—
756	C₂×#102	—	73	2	no	—
757	C₂×#102	—	73	2	no	—
758	C₂×#102	—	73	2	no	—
759	C₂×#102	C₂×D₇₃	1	1	yes	characteristic, complemented
760	#408	—	73	1	no	—
761	#408	—	73	1	no	—
762	#408	—	73	1	no	—
763	#408	—	73	2	no	—
764	#408	—	73	2	no	—
765	#408	C₂×D₇₃	1	1	yes	characteristic, complemented
766	C₂×C₂²⋊C₈	—	73	2	no	—
767	C₂×C₂²⋊C₈	—	73	2	no	—
768	C₂⁵	—	146	1	no	—
769	C₂×#41	—	73	1	no	—
770	C₂×#41	—	73	2	no	—
771	C₂×#41	—	73	1	no	—
772	C₂×#41	—	73	2	no	—
773	C₂×#41	—	73	1	no	—
774	C₂×#41	—	146	4	no	—
775	C₂×#41	—	146	4	no	—
776	C₂×#41	C₂²×D₇₃	1	1	yes	characteristic
777	C₂²×Q₈	—	73	1	no	—
778	C₂²×D₄	—	73	2	no	—
779	C₂²×D₄	—	73	1	no	—
780	C₂²×D₄	—	73	2	no	—
781	C₂²×D₄	—	73	2	no	—
782	C₂²×D₄	—	73	1	no	—
783	C₂²×D₄	—	146	1	no	—
784	C₂²×D₄	—	146	1	no	—
785	C₂²×D₄	—	146	4	no	—
786	C₂²×D₄	—	146	4	no	—
787	C₂²×D₄	—	146	1	no	—
788	C₂²×D₄	—	146	2	no	—
789	C₂²×D₄	—	146	2	no	—
790	C₂²×D₄	C₂²×D₇₃	1	1	yes	characteristic
791	C₂³×C₄	—	73	1	no	—
792	C₂³×C₄	—	73	2	no	—
793	C₂³×C₄	—	146	1	no	—
794	C₂³×C₄	—	146	2	no	—
795	C₂×M₁₆	—	73	1	no	—
796	C₂×M₁₆	—	73	2	no	—
797	C₂×M₁₆	—	146	4	no	—
798	C₂×M₁₆	C₂²×D₇₃	1	1	yes	characteristic
799	C₂²×C₈	—	73	1	no	—
800	C₂²×C₈	—	73	1	no	—
801	C₂²×C₈	—	73	1	no	—
802	C₂²×C₈	—	73	1	no	—
803	C₂²×C₈	—	73	1	no	—
804	C₂²×C₈	—	73	2	no	—
805	C₂²×C₈	—	146	4	no	—
806	C₂²×C₈	C₂²×D₇₃	1	1	yes	characteristic
807	#127	—	2	1	no	—
808	#127	—	146	1	no	—
809	#127	—	146	2	no	—
810	#127	—	146	2	no	—
811	#127	—	146	1	no	—
812	#127	—	146	1	no	—
813	#124	—	2	1	no	—
814	#124	—	146	1	no	—
815	#124	—	146	2	no	—
816	#124	—	146	2	no	—
817	#124	—	146	1	no	—
818	#124	—	146	1	no	—
819	#121	—	73	2	no	—
820	#121	—	73	2	no	—
821	#121	—	73	2	no	—
822	#121	—	73	2	no	—
823	#121	—	73	2	no	—
824	#121	—	73	2	no	—
825	#121	—	146	2	no	—
826	#121	—	146	2	no	—
827	#121	—	146	2	no	—
828	#121	—	146	2	no	—
829	#121	C₂²×D₇₃	1	2	yes	—
830	#121	C₂²×D₇₃	1	2	yes	—
831	#120	—	2	2	no	—
832	#120	—	146	2	no	—
833	#120	—	146	2	no	—
834	#120	—	146	2	no	—
835	#120	—	146	2	no	—
836	#120	—	146	2	no	—
837	#120	—	146	2	no	—
838	#120	—	146	2	no	—
839	C₄×Q₈	—	2	1	no	—
840	C₄×Q₈	—	146	1	no	—
841	C₄×Q₈	—	146	2	no	—
842	C₄×Q₈	—	146	1	no	—
843	C₄×Q₈	—	146	2	no	—
844	C₄×Q₈	—	146	1	no	—
845	C₄×D₄	—	2	1	no	—
846	C₄×D₄	—	2	2	no	—
847	C₄×D₄	—	146	1	no	—
848	C₄×D₄	—	146	2	no	—
849	C₄×D₄	—	146	2	no	—
850	C₄×D₄	—	146	2	no	—
851	C₄×D₄	—	146	2	no	—
852	C₄×D₄	—	146	1	no	—
853	C₄×D₄	—	146	2	no	—
854	C₄×D₄	—	146	2	no	—
855	C₄×D₄	—	146	2	no	—
856	C₄×D₄	—	146	2	no	—
857	C₄×D₄	—	146	2	no	—
858	C₄×D₄	—	146	1	no	—
859	#117	—	73	1	no	—
860	#117	—	73	2	no	—
861	#117	—	73	1	no	—
862	#117	—	73	1	no	—
863	#117	—	73	1	no	—
864	#117	—	73	2	no	—
865	#117	—	73	2	no	—
866	#117	—	73	1	no	—
867	#117	—	73	1	no	—
868	#117	—	146	1	no	—
869	#117	—	146	2	no	—
870	#117	—	146	1	no	—
871	#117	—	146	1	no	—
872	#117	—	146	2	no	—
873	#117	—	146	1	no	—
874	#117	C₂²×D₇₃	1	1	yes	characteristic
875	#117	C₂²×D₇₃	1	1	yes	characteristic
876	#117	C₂²×D₇₃	1	2	yes	complemented
877	C₂×C₄⋊C₄	—	73	1	no	—
878	C₂×C₄⋊C₄	—	73	2	no	—
879	C₂×C₄⋊C₄	—	73	2	no	—
880	C₂×C₄⋊C₄	—	73	1	no	—
881	C₂×C₄⋊C₄	—	73	2	no	—
882	C₂×C₄⋊C₄	—	73	2	no	—
883	C₂×C₄⋊C₄	—	73	2	no	—
884	C₂×C₄⋊C₄	—	73	1	no	—
885	C₂×C₄⋊C₄	—	73	1	no	—
886	C₂×C₄⋊C₄	—	73	1	no	—
887	C₂×C₄⋊C₄	—	146	1	no	—
888	C₂×C₄⋊C₄	—	146	2	no	—
889	C₂×C₄⋊C₄	—	146	1	no	—
890	C₂×C₄⋊C₄	—	146	2	no	—
891	C₂×C₄⋊C₄	—	146	1	no	—
892	C₂×C₄⋊C₄	—	146	2	no	—
893	C₂×C₄⋊C₄	C₂²×D₇₃	1	1	yes	characteristic
894	C₂×C₄⋊C₄	C₂²×D₇₃	1	2	yes	complemented
895	C₂×C₂²⋊C₄	—	146	2	no	—
896	C₂×C₂²⋊C₄	—	146	2	no	—
897	C₂×C₂²⋊C₄	—	146	1	no	—
898	C₂×C₂²⋊C₄	—	146	2	no	—
899	C₂×C₂²⋊C₄	—	146	1	no	—
900	C₂×C₄²	—	146	1	no	—
901	C₂×C₄²	—	146	2	no	—
902	C₂×C₄²	—	146	1	no	—
903	#107	—	73	1	no	—
904	#107	—	73	1	no	—
905	#107	—	73	2	no	—
906	#107	—	73	1	no	—
907	#107	—	73	1	no	—
908	#107	—	73	1	no	—
909	#107	—	73	1	no	—
910	#107	—	73	2	no	—
911	#107	—	73	2	no	—
912	#107	C₂²×D₇₃	1	1	yes	characteristic, complemented
913	#107	C₂²×D₇₃	1	1	yes	characteristic, complemented
914	#107	C₂²×D₇₃	1	2	yes	complemented
915	#106	—	73	1	no	—
916	#106	—	73	1	no	—
917	#106	—	73	2	no	—
918	#106	—	73	1	no	—
919	#106	—	73	1	no	—
920	#106	—	73	1	no	—
921	#106	—	73	1	no	—
922	#106	—	73	2	no	—
923	#106	—	73	2	no	—
924	#106	C₂²×D₇₃	1	1	yes	characteristic, complemented
925	#106	C₂²×D₇₃	1	1	yes	characteristic, complemented
926	#106	C₂²×D₇₃	1	2	yes	complemented
927	#102	—	73	2	no	—
928	#102	—	73	2	no	—
929	#102	—	73	2	no	—
930	#102	—	73	2	no	—
931	#102	—	73	2	no	—
932	#102	—	73	2	no	—
933	#102	—	73	2	no	—
934	#102	—	73	2	no	—
935	#102	—	73	2	no	—
936	#102	—	73	2	no	—
937	#102	—	73	2	no	—
938	#102	—	73	2	no	—
939	#102	C₂²×D₇₃	1	2	yes	—
940	#102	C₂²×D₇₃	1	2	yes	—
941	#102	C₂²×D₇₃	1	2	yes	—
942	#102	C₂²×D₇₃	1	2	yes	—
943	C₂²⋊C₈	—	73	2	no	—
944	C₂²⋊C₈	—	73	2	no	—
945	C₂²⋊C₈	—	73	2	no	—
946	C₂²⋊C₈	—	73	2	no	—
947	C₂²⋊C₈	—	73	2	no	—
948	C₂²⋊C₈	—	73	2	no	—
949	C₂²⋊C₈	C₂²×D₇₃	1	2	yes	complemented
950	C₂²⋊C₈	C₂²×D₇₃	1	2	yes	complemented
951	C₂⁴	—	2	1	no	—
952	C₂⁴	—	292	4	no	—
953	C₂⁴	—	584	2	no	—
954	C₂⁴	—	584	2	no	—
955	C₂⁴	—	73	1	no	—
956	C₂⁴	—	73	2	no	—
957	C₂⁴	—	146	2	no	—
958	C₂⁴	—	146	2	no	—
959	C₂⁴	—	146	1	no	—
960	#41	—	2	2	no	—
961	#41	—	2	2	no	—
962	#41	—	146	4	no	—
963	#41	—	146	4	no	—
964	#41	—	146	8	no	—
965	#41	—	146	4	no	—
966	#41	—	146	4	no	—
967	#41	—	146	2	no	—
968	#41	—	146	2	no	—
969	C₂×Q₈	—	73	2	no	—
970	C₂×Q₈	—	73	1	no	—
971	C₂×Q₈	—	146	4	no	—
972	C₂×Q₈	D₄×D₇₃	1	1	yes	characteristic
973	C₂×D₄	—	2	2	no	—
974	C₂×D₄	—	2	2	no	—
975	C₂×D₄	—	2	1	no	—
976	C₂×D₄	—	2	2	no	—
977	C₂×D₄	—	2	2	no	—
978	C₂×D₄	—	292	4	no	—
979	C₂×D₄	—	292	4	no	—
980	C₂×D₄	—	292	4	no	—
981	C₂×D₄	—	584	4	no	—
982	C₂×D₄	—	584	4	no	—
983	C₂×D₄	—	73	2	no	—
984	C₂×D₄	—	73	2	no	—
985	C₂×D₄	—	73	2	no	—
986	C₂×D₄	—	73	2	no	—
987	C₂×D₄	—	73	1	no	—
988	C₂×D₄	—	73	2	no	—
989	C₂×D₄	—	146	2	no	—
990	C₂×D₄	—	146	2	no	—
991	C₂×D₄	—	146	4	no	—
992	C₂×D₄	—	146	4	no	—
993	C₂×D₄	—	146	4	no	—
994	C₂×D₄	—	146	4	no	—
995	C₂×D₄	—	146	4	no	—
996	C₂×D₄	—	146	2	no	—
997	C₂×D₄	—	146	2	no	—
998	C₂×D₄	—	146	8	no	—
999	C₂×D₄	—	146	2	no	—
1000	C₂×D₄	—	146	2	no	—
1001	C₂×D₄	—	146	2	no	—
1002	C₂×D₄	—	146	2	no	—
1003	C₂×D₄	—	146	1	no	—
1004	C₂×D₄	—	146	2	no	—
1005	C₂×D₄	—	146	2	no	—
1006	C₂×D₄	D₄×D₇₃	1	2	yes	—
1007	C₂×D₄	D₄×D₇₃	1	1	yes	characteristic
1008	C₂×D₄	C₂³×D₇₃	1	2	yes	—
1009	C₂²×C₄	—	2	1	no	—
1010	C₂²×C₄	—	2	2	no	—
1011	C₂²×C₄	—	584	4	no	—
1012	C₂²×C₄	—	584	2	no	—
1013	C₂²×C₄	—	73	1	no	—
1014	C₂²×C₄	—	73	1	no	—
1015	C₂²×C₄	—	73	1	no	—
1016	C₂²×C₄	—	73	4	no	—
1017	C₂²×C₄	—	73	4	no	—
1018	C₂²×C₄	—	73	1	no	—
1019	C₂²×C₄	—	73	1	no	—
1020	C₂²×C₄	—	73	2	no	—
1021	C₂²×C₄	—	73	2	no	—
1022	C₂²×C₄	—	73	2	no	—
1023	C₂²×C₄	—	73	2	no	—
1024	C₂²×C₄	—	146	1	no	—
1025	C₂²×C₄	—	146	1	no	—
1026	C₂²×C₄	—	146	1	no	—
1027	C₂²×C₄	—	146	1	no	—
1028	C₂²×C₄	—	146	2	no	—
1029	C₂²×C₄	—	146	2	no	—
1030	C₂²×C₄	—	146	2	no	—
1031	C₂²×C₄	—	146	2	no	—
1032	C₂²×C₄	—	146	4	no	—
1033	C₂²×C₄	—	146	4	no	—
1034	C₂²×C₄	—	146	2	no	—
1035	C₂²×C₄	—	146	1	no	—
1036	C₂²×C₄	C₂³×D₇₃	1	2	yes	—
1037	C₂²×C₄	C₂³×D₇₃	1	1	yes	characteristic
1038	M₁₆	—	2	2	no	—
1039	M₁₆	—	146	4	no	—
1040	M₁₆	—	146	2	no	—
1041	C₂×C₈	—	2	2	no	—
1042	C₂×C₈	—	73	1	no	—
1043	C₂×C₈	—	73	2	no	—
1044	C₂×C₈	—	73	1	no	—
1045	C₂×C₈	—	146	2	no	—
1046	C₂×C₈	—	146	2	no	—
1047	C₂×C₈	—	146	2	no	—
1048	C₂×C₈	—	146	2	no	—
1049	C₂×C₈	—	146	4	no	—
1050	C₂×C₈	—	146	2	no	—
1051	C₂×C₈	C₂³×D₇₃	1	1	yes	characteristic
1052	C₂×C₈	C₂³×D₇₃	1	2	yes	—
1053	C₂×C₈	C₂³×D₇₃	1	1	yes	characteristic
1054	C₄⋊C₄	—	2	1	no	—
1055	C₄⋊C₄	—	2	2	no	—
1056	C₄⋊C₄	—	73	2	no	—
1057	C₄⋊C₄	—	73	1	no	—
1058	C₄⋊C₄	—	73	1	no	—
1059	C₄⋊C₄	—	73	1	no	—
1060	C₄⋊C₄	—	73	1	no	—
1061	C₄⋊C₄	—	146	1	no	—
1062	C₄⋊C₄	—	146	2	no	—
1063	C₄⋊C₄	—	146	2	no	—
1064	C₄⋊C₄	—	146	2	no	—
1065	C₄⋊C₄	—	146	2	no	—
1066	C₄⋊C₄	—	146	1	no	—
1067	C₄⋊C₄	—	146	1	no	—
1068	C₄⋊C₄	—	146	1	no	—
1069	C₄⋊C₄	—	146	2	no	—
1070	C₄⋊C₄	—	146	1	no	—
1071	C₄⋊C₄	C₂³×D₇₃	1	2	yes	—
1072	C₄⋊C₄	C₂³×D₇₃	1	1	yes	characteristic
1073	C₄⋊C₄	C₂³×D₇₃	1	1	yes	characteristic
1074	C₄⋊C₄	C₂³×D₇₃	1	1	yes	characteristic
1075	C₄⋊C₄	C₂³×D₇₃	1	1	yes	characteristic
1076	C₂²⋊C₄	—	2	1	no	—
1077	C₂²⋊C₄	—	2	1	no	—
1078	C₂²⋊C₄	—	2	2	no	—
1079	C₂²⋊C₄	—	2	2	no	—
1080	C₂²⋊C₄	—	2	2	no	—
1081	C₂²⋊C₄	—	146	2	no	—
1082	C₂²⋊C₄	—	146	2	no	—
1083	C₂²⋊C₄	—	146	1	no	—
1084	C₂²⋊C₄	—	146	2	no	—
1085	C₂²⋊C₄	—	146	1	no	—
1086	C₂²⋊C₄	—	146	2	no	—
1087	C₂²⋊C₄	—	146	1	no	—
1088	C₂²⋊C₄	—	146	1	no	—
1089	C₂²⋊C₄	—	146	2	no	—
1090	C₂²⋊C₄	—	146	2	no	—
1091	C₂²⋊C₄	—	146	2	no	—
1092	C₂²⋊C₄	—	146	1	no	—
1093	C₂²⋊C₄	—	146	1	no	—
1094	C₂²⋊C₄	—	146	2	no	—
1095	C₂²⋊C₄	—	146	2	no	—
1096	C₄²	—	2	1	no	—
1097	C₄²	—	2	1	no	—
1098	C₄²	—	2	2	no	—
1099	C₄²	—	146	1	no	—
1100	C₄²	—	146	2	no	—
1101	C₄²	—	146	1	no	—
1102	C₄²	—	146	2	no	—
1103	C₄²	—	146	1	no	—
1104	C₄²	—	146	1	no	—
1105	C₄²	—	146	2	no	—
1106	C₄²	—	146	1	no	—
1107	C₄²	—	146	1	no	—
1108	C₂³	—	2	2	no	—
1109	C₂³	—	4	2	no	—
1110	C₂³	—	8	1	no	—
1111	C₂³	—	8	1	no	—
1112	C₂³	—	292	4	no	—
1113	C₂³	—	292	4	no	—
1114	C₂³	—	292	4	no	—
1115	C₂³	—	292	4	no	—
1116	C₂³	—	292	2	no	—
1117	C₂³	—	584	1	no	—
1118	C₂³	—	584	1	no	—
1119	C₂³	—	584	2	no	—
1120	C₂³	—	584	2	no	—
1121	C₂³	—	584	16	no	—
1122	C₂³	—	73	1	no	—
1123	C₂³	—	73	1	no	—
1124	C₂³	—	73	4	no	—
1125	C₂³	—	73	2	no	—
1126	C₂³	—	146	4	no	—
1127	C₂³	—	146	4	no	—
1128	C₂³	—	146	4	no	—
1129	C₂³	—	146	2	no	—
1130	C₂³	—	146	2	no	—
1131	C₂³	—	146	2	no	—
1132	C₂³	C₂×D₄×D₇₃	1	2	yes	—
1133	C₂³	C₂×D₄×D₇₃	1	1	yes	characteristic
1134	Q₈	—	2	2	no	—
1135	Q₈	—	146	4	no	—
1136	Q₈	—	146	2	no	—
1137	D₄	—	2	4	no	—
1138	D₄	—	2	2	no	—
1139	D₄	—	2	2	no	—
1140	D₄	—	2	2	no	—
1141	D₄	—	4	2	no	—
1142	D₄	—	8	2	no	—
1143	D₄	—	8	2	no	—
1144	D₄	—	292	4	no	—
1145	D₄	—	292	4	no	—
1146	D₄	—	292	2	no	—
1147	D₄	—	584	2	no	—
1148	D₄	—	584	2	no	—
1149	D₄	—	584	2	no	—
1150	D₄	—	584	2	no	—
1151	D₄	—	584	2	no	—
1152	D₄	—	584	2	no	—
1153	D₄	—	146	4	no	—
1154	D₄	—	146	4	no	—
1155	D₄	—	146	4	no	—
1156	D₄	—	146	4	no	—
1157	D₄	—	146	2	no	—
1158	D₄	—	146	2	no	—
1159	D₄	—	146	2	no	—
1160	C₂×C₄	—	2	2	no	—
1161	C₂×C₄	—	2	2	no	—
1162	C₂×C₄	—	2	1	no	—
1163	C₂×C₄	—	2	1	no	—
1164	C₂×C₄	—	2	1	no	—
1165	C₂×C₄	—	2	1	no	—
1166	C₂×C₄	—	2	2	no	—
1167	C₂×C₄	—	8	1	no	—
1168	C₂×C₄	—	8	2	no	—
1169	C₂×C₄	—	292	2	no	—
1170	C₂×C₄	—	292	4	no	—
1171	C₂×C₄	—	292	2	no	—
1172	C₂×C₄	—	292	2	no	—
1173	C₂×C₄	—	292	2	no	—
1174	C₂×C₄	—	584	2	no	—
1175	C₂×C₄	—	584	2	no	—
1176	C₂×C₄	—	584	2	no	—
1177	C₂×C₄	—	584	1	no	—
1178	C₂×C₄	—	584	2	no	—
1179	C₂×C₄	—	73	1	no	—
1180	C₂×C₄	—	73	1	no	—
1181	C₂×C₄	—	73	4	no	—
1182	C₂×C₄	—	73	2	no	—
1183	C₂×C₄	—	73	2	no	—
1184	C₂×C₄	—	73	2	no	—
1185	C₂×C₄	—	73	2	no	—
1186	C₂×C₄	—	73	4	no	—
1187	C₂×C₄	—	73	4	no	—
1188	C₂×C₄	—	73	2	no	—
1189	C₂×C₄	—	146	4	no	—
1190	C₂×C₄	—	146	4	no	—
1191	C₂×C₄	—	146	1	no	—
1192	C₂×C₄	—	146	1	no	—
1193	C₂×C₄	—	146	1	no	—
1194	C₂×C₄	—	146	1	no	—
1195	C₂×C₄	—	146	2	no	—
1196	C₂×C₄	—	146	4	no	—
1197	C₂×C₄	—	146	2	no	—
1198	C₂×C₄	—	146	2	no	—
1199	C₂×C₄	C₂×D₄×D₇₃	1	2	yes	—
1200	C₂×C₄	C₂×D₄×D₇₃	1	1	yes	characteristic
1201	C₂×C₄	#41×D₇₃	1	2	yes	—
1202	C₂×C₄	#41×D₇₃	1	2	yes	—
1203	C₂×C₄	C₂⁴×D₇₃	1	1	yes	characteristic
1204	C₈	—	2	1	no	—
1205	C₈	—	2	1	no	—
1206	C₈	—	2	2	no	—
1207	C₈	—	146	1	no	—
1208	C₈	—	146	1	no	—
1209	C₈	—	146	2	no	—
1210	C₂²	—	2	1	no	—
1211	C₂²	—	2	1	no	—
1212	C₂²	—	2	2	no	—
1213	C₂²	—	2	2	no	—
1214	C₂²	—	2	2	no	—
1215	C₂²	—	4	2	no	—
1216	C₂²	—	4	2	no	—
1217	C₂²	—	4	2	no	—
1218	C₂²	—	8	4	no	—
1219	C₂²	—	292	8	no	—
1220	C₂²	—	292	2	no	—
1221	C₂²	—	292	2	no	—
1222	C₂²	—	292	2	no	—
1223	C₂²	—	584	4	no	—
1224	C₂²	—	584	8	no	—
1225	C₂²	—	584	8	no	—
1226	C₂²	—	73	2	no	—
1227	C₂²	—	73	2	no	—
1228	C₂²	—	73	2	no	—
1229	C₂²	—	73	2	no	—
1230	C₂²	—	146	8	no	—
1231	C₂²	—	146	2	no	—
1232	C₂²	—	146	2	no	—
1233	C₂²	—	146	2	no	—
1234	C₂²	—	146	1	no	—
1235	C₂²	—	146	1	no	—
1236	C₂²	#123×D₇₃	1	2	yes	—
1237	C₂²	C₂²×D₄×D₇₃	1	1	yes	characteristic
1238	C₄	—	2	2	no	—
1239	C₄	—	4	1	no	—
1240	C₄	—	4	2	no	—
1241	C₄	—	4	1	no	—
1242	C₄	—	4	1	no	—
1243	C₄	—	4	1	no	—
1244	C₄	—	292	1	no	—
1245	C₄	—	292	2	no	—
1246	C₄	—	292	1	no	—
1247	C₄	—	292	1	no	—
1248	C₄	—	292	1	no	—
1249	C₄	—	73	2	no	—
1250	C₄	—	73	2	no	—
1251	C₄	—	146	2	no	—
1252	C₄	#123×D₇₃	1	2	yes	—
1253	C₄	C₂×#41×D₇₃	1	1	yes	characteristic
1254	C₄	C₂×#41×D₇₃	1	1	yes	characteristic
1255	C₂	—	2	2	no	—
1256	C₂	—	4	2	no	—
1257	C₂	—	8	2	no	—
1258	C₂	—	292	2	no	—
1259	C₂	—	584	2	no	—
1260	C₂	—	73	4	no	—
1261	C₂	—	146	2	no	—
1262	C₂	C₂×#123×D₇₃	1	1	yes	characteristic
1263	C₂	#576×D₇₃	1	1	yes	characteristic
1264	C₂	#577×D₇₃	1	1	yes	characteristic

	subgroup	G/H
center	C₂²	C₂²×D₄×D₇₃
commutator, cosocle	C₂×C₄×C₇₃	C₂⁵
Frattini	C₂×C₄	C₂⁴×D₇₃
Fitting	C₇₃×#3096	C₂
socle	C₂²×C₇₃	C₂³×D₄
prime radical	#535×D₇₃	C₂
hypercenter	#3096	D₇₃
hypocenter	C₇₃	C₂×#3096
LCS	G ▷ C₂×C₄×C₇₃ ▷ C₂×C₇₃ ▷ C₇₃
UCS	C₁ ◁ C₂² ◁ C₂×#41 ◁ #3096

Complements

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

N	H ≅ G/N	type
2. #520×D₇₃	C₂	semidirect
3. #22619892	C₂	semidirect
4. #22619891	C₂	semidirect
5. #22619890	C₂	semidirect
6. #22619889	C₂	semidirect
7. #22619888	C₂	semidirect
8. #22619887	C₂	semidirect
9. #22619886	C₂	semidirect
10. #22619885	C₂	semidirect
11. #22619884	C₂	semidirect
12. #22619883	C₂	semidirect
13. #22619882	C₂	semidirect
14. #481×D₇₃	C₂	semidirect
15. #482×D₇₃	C₂	semidirect
16. #482×D₇₃	C₂	semidirect
17. #480×D₇₃	C₂	semidirect
18. #428×D₇₃	C₂	semidirect
19. #427×D₇₃	C₂	semidirect
20. #418×D₇₃	C₂	semidirect
21. C₂×#102×D₇₃	C₂	semidirect
22. #408×D₇₃	C₂	semidirect
23. C₇₃×#3096	C₂	semidirect
41. #17989070	C₂²	semidirect
43. #17989068	C₂²	semidirect
44. #17989068	C₂²	semidirect
45. #17989067	C₂²	semidirect
46. #17989067	C₂²	semidirect
54. #117×D₇₃	C₂²	semidirect
56. C₂×C₄⋊C₄×D₇₃	C₂²	semidirect
57. #17988914	C₂²	semidirect
58. #17988914	C₂²	semidirect
59. #17988913	C₂²	semidirect
60. #17988913	C₂²	semidirect
61. #17988912	C₂²	semidirect
62. #17988912	C₂²	semidirect
63. #17988911	C₂²	semidirect
64. #17988911	C₂²	semidirect
65. #17988910	C₂²	semidirect
66. #17988910	C₂²	semidirect
67. #17988909	C₂²	semidirect
68. #17988909	C₂²	semidirect
69. #17988908	C₂²	semidirect
70. #17988908	C₂²	semidirect
71. #17988907	C₂²	semidirect
72. #17988907	C₂²	semidirect
73. #17988906	C₂²	semidirect
74. #17988905	C₂²	semidirect
75. #17988904	C₂²	semidirect
76. #17988904	C₂²	semidirect
77. #17988903	C₂²	semidirect
78. #17988902	C₂²	semidirect
79. #17988902	C₂²	semidirect
80. #17988901	C₂²	semidirect
81. #17988900	C₂²	semidirect
82. #17988899	C₂²	semidirect
83. #17988899	C₂²	semidirect
84. #17988898	C₂²	semidirect
85. #17988630	C₂²	semidirect
86. #17988629	C₂²	semidirect
87. #17988628	C₂²	semidirect
88. #17988627	C₂²	semidirect
89. #17988626	C₂²	semidirect
90. #17988625	C₂²	semidirect
91. #17988624	C₂²	semidirect
92. #17988624	C₂²	semidirect
93. #17988623	C₂²	semidirect
94. #17988623	C₂²	semidirect
95. #17988622	C₂²	semidirect
96. #17988622	C₂²	semidirect
97. #107×D₇₃	C₂²	semidirect
98. #107×D₇₃	C₂²	semidirect
99. #107×D₇₃	C₂²	semidirect
100. #106×D₇₃	C₂²	semidirect
101. #106×D₇₃	C₂²	semidirect
102. #106×D₇₃	C₂²	semidirect
103. #17988593	C₂²	semidirect
104. #17988592	C₂²	semidirect
105. #17988591	C₂²	semidirect
106. #17988590	C₂²	semidirect
107. #17988590	C₂²	semidirect
108. C₂×#14556513	C₂²	semidirect
109. C₂×#14556512	C₂²	semidirect
110. C₂×#14556511	C₂²	semidirect
115. #102×D₇₃	C₂²	semidirect
116. #102×D₇₃	C₂²	semidirect
117. #17988555	C₂²	semidirect
118. #17988554	C₂²	semidirect
119. #17988553	C₂²	semidirect
120. #17988552	C₂²	semidirect
121. #17988552	C₂²	semidirect
122. C₂²⋊C₈×D₇₃	C₂²	semidirect
123. C₂²⋊C₈×D₇₃	C₂²	semidirect
125. #520×C₇₃	C₂²	semidirect
126. #482×C₇₃	C₂²	semidirect
127. #482×C₇₃	C₂²	semidirect
128. #481×C₇₃	C₂²	semidirect
129. #480×C₇₃	C₂²	semidirect
130. #428×C₇₃	C₂²	semidirect
131. #427×C₇₃	C₂²	semidirect
132. #418×C₇₃	C₂²	semidirect
133. C₂×#102×C₇₃	C₂²	semidirect
134. #408×C₇₃	C₂²	semidirect
216. #14556550	C₂³	semidirect
221. #14556549	C₂³	semidirect
222. #14556549	C₂³	semidirect
230. C₂×C₄⋊Dic₇₃	C₂³	semidirect
243. C₄⋊C₄×D₇₃	C₂³	semidirect
244. C₄⋊C₄×D₇₃	C₂³	semidirect
253. #14556525	C₂³	semidirect
254. #14556525	C₂³	semidirect
255. #14556525	C₂³	semidirect
256. #14556524	C₂³	semidirect
257. #14556524	C₂³	semidirect
258. #14556524	C₂³	semidirect
259. #14556524	C₂³	semidirect
260. #14556524	C₂³	semidirect
261. #14556524	C₂³	semidirect
262. #14556523	C₂³	semidirect
263. #14556523	C₂³	semidirect
264. #14556523	C₂³	semidirect
265. #14556522	C₂³	semidirect
266. #14556522	C₂³	semidirect
267. #14556522	C₂³	semidirect
268. #14556522	C₂³	semidirect
269. #14556522	C₂³	semidirect
270. #14556522	C₂³	semidirect
283. C₂²⋊#10596831	C₂³	semidirect
284. C₂²⋊#10596831	C₂³	semidirect
285. #14556503	C₂³	semidirect
286. #14556503	C₂³	semidirect
287. #14556503	C₂³	semidirect
288. #14556503	C₂³	semidirect
303. #117×C₇₃	C₂³	semidirect
305. C₂×C₄⋊C₄×C₇₃	C₂³	semidirect
306. #107×C₇₃	C₂³	semidirect
307. #107×C₇₃	C₂³	semidirect
308. #107×C₇₃	C₂³	semidirect
309. #106×C₇₃	C₂³	semidirect
310. #106×C₇₃	C₂³	semidirect
311. #106×C₇₃	C₂³	semidirect
316. C₂²⋊C₈×C₇₃	C₂³	semidirect
317. C₂²⋊C₈×C₇₃	C₂³	semidirect
632. D₇₃	#3096	direct (N × H)
646. #3096	D₇₃	direct (N × H)
656. C₇₃	C₂×#3096	semidirect
683. #520	C₂×D₇₃	semidirect
706. #482	C₂×D₇₃	semidirect
707. #482	C₂×D₇₃	semidirect
715. #481	C₂×D₇₃	semidirect
723. #480	C₂×D₇₃	semidirect
729. #428	C₂×D₇₃	semidirect
737. #427	C₂×D₇₃	semidirect
749. #418	C₂×D₇₃	semidirect
759. C₂×#102	C₂×D₇₃	semidirect
765. #408	C₂×D₇₃	semidirect
876. #117	C₂²×D₇₃	semidirect
894. C₂×C₄⋊C₄	C₂²×D₇₃	semidirect
912. #107	C₂²×D₇₃	semidirect
913. #107	C₂²×D₇₃	semidirect
914. #107	C₂²×D₇₃	semidirect
924. #106	C₂²×D₇₃	semidirect
925. #106	C₂²×D₇₃	semidirect
926. #106	C₂²×D₇₃	semidirect
949. C₂²⋊C₈	C₂²×D₇₃	semidirect
950. C₂²⋊C₈	C₂²×D₇₃	semidirect

Maximal subgroups

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

subgroup	index
#535×D₇₃	2
#520×D₇₃	2
#22619892	2
#22619891	2
#22619890	2
#22619889	2
#22619888	2
#22619887	2
#22619886	2
#22619885	2
#22619884	2
#22619883	2
#22619882	2
#481×D₇₃	2
#482×D₇₃	2
#480×D₇₃	2
#428×D₇₃	2
#427×D₇₃	2
#418×D₇₃	2
C₂×#102×D₇₃	2
#408×D₇₃	2
C₇₃×#3096	2
C₂×#3096	73

Subgroups — #3096×D73 #33953803

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — #3096×D₇₃ #33953803