Subgroups — #3368×D₇₃ #33965677

Order 18688.

2122 conjugacy classes of subgroups.

The subgroup lattice has 1186 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#557×D₇₃	C₂	1	1	yes	maximal, characteristic, complemented
2	#550×D₇₃	C₂	1	1	yes	maximal, characteristic
3	#22622665	C₂	1	1	yes	maximal, characteristic, complemented
4	#22622664	C₂	1	1	yes	maximal, characteristic, complemented
5	#22622663	C₂	1	2	yes	maximal, complemented
6	#22622662	C₂	1	1	yes	maximal, characteristic, complemented
7	#22622661	C₂	1	2	yes	maximal, complemented
8	#22622660	C₂	1	1	yes	maximal, characteristic, complemented
9	#22622659	C₂	1	1	yes	maximal, characteristic, complemented
10	#22622658	C₂	1	1	yes	maximal, characteristic, complemented
11	#22622657	C₂	1	2	yes	maximal, complemented
12	#22622656	C₂	1	1	yes	maximal, characteristic, complemented
13	#22622655	C₂	1	2	yes	maximal, complemented
14	#490×D₇₃	C₂	1	2	yes	maximal, complemented
15	#486×D₇₃	C₂	1	1	yes	maximal, characteristic, complemented
16	#478×D₇₃	C₂	1	2	yes	maximal, complemented
17	#474×D₇₃	C₂	1	1	yes	maximal, characteristic, complemented
18	#460×D₇₃	C₂	1	1	yes	maximal, characteristic, complemented
19	#460×D₇₃	C₂	1	2	yes	maximal, complemented
20	#446×D₇₃	C₂	1	1	yes	maximal, characteristic, complemented
21	#440×D₇₃	C₂	1	2	yes	maximal, complemented
22	C₄×SD₁₆×D₇₃	C₂	1	1	yes	maximal, characteristic, complemented
23	C₇₃×#3368	C₂	1	1	yes	maximal, characteristic, complemented
24	C₂×#41×D₇₃	—	2	1	no	—
25	C₂×SD₁₆×D₇₃	C₂²	1	1	yes	characteristic
26	C₂×SD₁₆×D₇₃	C₂²	1	2	yes	—
27	#17989316	C₂²	1	1	yes	characteristic, complemented
28	#17989315	—	2	1	no	—
29	#17989315	C₂²	1	1	yes	characteristic, complemented
30	#17989314	—	2	2	no	—
31	#17989314	C₂²	1	2	yes	complemented
32	#17989313	C₂²	1	2	yes	complemented
33	#17989312	—	2	1	no	—
34	#17989312	C₂²	1	1	yes	characteristic, complemented
35	#17989259	C₂²	1	1	yes	characteristic
36	#17989258	C₂²	1	1	yes	characteristic
37	#17989258	C₂²	1	2	yes	—
38	#17989257	C₂²	1	2	yes	—
39	#17989257	C₂²	1	1	yes	characteristic
40	#17989256	—	2	1	no	—
41	#17989255	—	2	2	no	—
42	#17989255	—	2	1	no	—
43	C₄⋊Q₈×D₇₃	—	2	1	no	—
44	C₄⋊Q₈×D₇₃	C₂²	1	1	yes	characteristic
45	#127×D₇₃	C₂²	1	1	yes	characteristic
46	#127×D₇₃	C₂²	1	2	yes	—
47	#125×D₇₃	—	2	2	no	—
48	#125×D₇₃	C₂²	1	2	yes	—
49	#121×D₇₃	—	2	1	no	—
50	#121×D₇₃	—	2	2	no	—
51	C₄×Q₈×D₇₃	—	2	1	no	—
52	C₄×Q₈×D₇₃	C₂²	1	1	yes	characteristic
53	C₄×Q₈×D₇₃	C₂²	1	2	yes	—
54	C₄×Q₈×D₇₃	C₂²	1	1	yes	characteristic
55	C₄×D₄×D₇₃	C₂²	1	1	yes	characteristic
56	C₄×D₄×D₇₃	C₂²	1	2	yes	—
57	#17988953	C₂²	1	2	yes	complemented
58	#17988952	C₂²	1	2	yes	complemented
59	#17988951	C₂²	1	2	yes	complemented
60	#17988950	C₂²	1	2	yes	complemented
61	#17988950	C₂²	1	2	yes	complemented
62	#17988950	C₂²	1	2	yes	complemented
63	#17988950	C₂²	1	2	yes	complemented
64	#17988935	C₂²	1	1	yes	characteristic, complemented
65	#17988934	C₂²	1	1	yes	characteristic, complemented
66	#17988933	C₂²	1	1	yes	characteristic, complemented
67	#17988932	C₂²	1	2	yes	complemented
68	#17988932	C₂²	1	2	yes	complemented
69	#17988890	C₂²	1	2	yes	complemented
70	#17988889	C₂²	1	2	yes	complemented
71	#17988888	C₂²	1	2	yes	complemented
72	#17988887	C₂²	1	2	yes	complemented
73	#17988886	C₂²	1	2	yes	complemented
74	#17988885	C₂²	1	2	yes	complemented
75	#17988884	C₂²	1	2	yes	complemented
76	#17988868	C₂²	1	1	yes	characteristic, complemented
77	#17988867	C₂²	1	1	yes	characteristic, complemented
78	#17988866	C₂²	1	2	yes	complemented
79	#17988865	C₂²	1	2	yes	complemented
80	#17988864	C₂²	1	1	yes	characteristic, complemented
81	#17988788	C₂²	1	1	yes	characteristic, complemented
82	#17988788	C₂²	1	2	yes	complemented
83	#17988787	C₂²	1	1	yes	characteristic, complemented
84	#17988787	C₂²	1	2	yes	complemented
85	#17988786	C₂²	1	2	yes	complemented
86	#17988786	C₂²	1	2	yes	complemented
87	#17988786	C₂²	1	2	yes	complemented
88	#17988785	C₂²	1	2	yes	complemented
89	#17988785	C₂²	1	2	yes	complemented
90	#17988785	C₂²	1	2	yes	complemented
91	#17988784	C₂²	1	2	yes	complemented
92	#17988784	C₂²	1	1	yes	characteristic, complemented
93	#17988718	C₂²	1	1	yes	characteristic, complemented
94	#17988717	C₂²	1	1	yes	characteristic, complemented
95	#17988716	C₂²	1	2	yes	complemented
96	#17988715	C₂²	1	2	yes	complemented
97	#17988714	C₂²	1	1	yes	characteristic, complemented
98	#17988690	C₂²	1	2	yes	complemented
99	#17988689	C₂²	1	2	yes	complemented
100	#17988688	C₂²	1	2	yes	complemented
101	#17988687	C₂²	1	2	yes	complemented
102	#17988686	C₂²	1	2	yes	complemented
103	#17988685	C₂²	1	2	yes	complemented
104	#17988684	C₂²	1	2	yes	complemented
105	#17988678	C₂²	1	1	yes	characteristic, complemented
106	C₄×#11924017	C₂²	1	1	yes	characteristic, complemented
107	SD₁₆×Dic₇₃	C₂²	1	1	yes	characteristic, complemented
108	C₄×#11924015	C₂²	1	1	yes	characteristic, complemented
109	#17988674	C₂²	1	1	yes	characteristic, complemented
110	C₄×#11924016	C₂²	1	1	yes	characteristic, complemented
111	#17988672	C₂²	1	1	yes	characteristic, complemented
112	#107×D₇₃	C₂²	1	2	yes	—
113	#106×D₇₃	C₂²	1	1	yes	characteristic
114	C₄⋊C₈×D₇₃	C₂²	1	1	yes	characteristic
115	C₄⋊C₈×D₇₃	C₂²	1	2	yes	—
116	#103×D₇₃	C₂²	1	1	yes	characteristic
117	#102×D₇₃	C₂²	1	2	yes	—
118	#102×D₇₃	C₂²	1	2	yes	—
119	#102×D₇₃	C₂²	1	2	yes	—
120	#102×D₇₃	C₂²	1	1	yes	characteristic
121	#102×D₇₃	C₂²	1	2	yes	—
122	#97×D₇₃	C₂²	1	2	yes	—
123	C₄×C₈×D₇₃	C₂²	1	1	yes	characteristic
124	#557×C₇₃	C₂²	1	1	yes	characteristic, complemented
125	#550×C₇₃	C₂²	1	1	yes	characteristic
126	#490×C₇₃	C₂²	1	2	yes	complemented
127	#486×C₇₃	C₂²	1	1	yes	characteristic, complemented
128	#478×C₇₃	C₂²	1	2	yes	complemented
129	#474×C₇₃	C₂²	1	1	yes	characteristic, complemented
130	#460×C₇₃	C₂²	1	2	yes	complemented
131	#460×C₇₃	C₂²	1	1	yes	characteristic, complemented
132	#446×C₇₃	C₂²	1	1	yes	characteristic, complemented
133	#440×C₇₃	C₂²	1	2	yes	complemented
134	C₄×SD₁₆×C₇₃	C₂²	1	1	yes	characteristic, complemented
135	C₂×#11924029	—	2	1	no	—
136	C₂×#11924028	—	2	1	no	—
137	C₂×#11924028	—	2	2	no	—
138	C₂×#11924027	—	2	1	no	—
139	C₂×#11924027	—	2	2	no	—
140	#41×D₇₃	—	4	8	no	—
141	C₂×Q₈×D₇₃	—	2	1	no	—
142	C₂×Q₈×D₇₃	D₄	1	1	yes	characteristic
143	C₂×Q₈×D₇₃	C₂³	1	1	yes	characteristic
144	C₂×D₄×D₇₃	—	2	2	no	—
145	C₂×D₄×D₇₃	—	2	1	no	—
146	C₂×D₄×D₇₃	—	2	2	no	—
147	C₂×D₄×D₇₃	—	2	1	no	—
148	C₂×D₄×D₇₃	C₂³	1	2	yes	—
149	C₂×D₄×D₇₃	C₂³	1	1	yes	characteristic
150	C₂²×C₄×D₇₃	—	2	2	no	—
151	C₂²×C₄×D₇₃	—	2	1	no	—
152	C₂×#11924017	C₂³	1	1	yes	characteristic
153	C₂×#11924017	C₂³	1	2	yes	—
154	C₂×#11924016	C₂³	1	1	yes	characteristic
155	C₂×#11924016	C₂³	1	2	yes	—
156	C₂×#11924015	C₂³	1	1	yes	characteristic
157	C₂×#11924015	C₂³	1	2	yes	—
158	SD₁₆×D₇₃	—	2	4	no	—
159	SD₁₆×D₇₃	—	2	8	no	—
160	C₂×C₈×D₇₃	C₂³	1	1	yes	characteristic
161	C₂×C₈×D₇₃	C₂³	1	2	yes	—
162	C₂×C₈×D₇₃	C₂³	1	1	yes	characteristic
163	#14556591	—	2	1	no	—
164	#14556591	C₂³	1	1	yes	characteristic
165	#14556590	—	2	2	no	—
166	#14556590	—	2	2	no	—
167	#14556590	—	2	1	no	—
168	#14556590	C₂³	1	2	yes	—
169	#14556589	—	2	1	no	—
170	#14556589	—	2	1	no	—
171	#14556589	—	2	1	no	—
172	#14556588	C₂³	1	1	yes	characteristic
173	#14556588	C₂³	1	2	yes	—
174	#14556587	—	2	1	no	—
175	#14556587	—	2	2	no	—
176	#14556587	—	2	2	no	—
177	#14556587	—	2	1	no	—
178	#14556587	C₂³	1	2	yes	—
179	#14556587	C₂³	1	2	yes	—
180	#14556587	C₂³	1	2	yes	—
181	#14556583	—	2	2	no	—
182	#14556583	C₂³	1	2	yes	—
183	#14556582	—	2	2	no	—
184	#14556582	—	2	2	no	—
185	#14556582	C₂³	1	2	yes	—
186	#14556582	C₂³	1	2	yes	—
187	#14556581	—	2	2	no	—
188	#14556581	—	2	2	no	—
189	#14556581	—	2	2	no	—
190	#14556581	—	2	2	no	—
191	#14556581	—	2	2	no	—
192	#14556581	—	2	2	no	—
193	#14556566	—	2	1	no	—
194	#14556566	—	2	2	no	—
195	#14556565	—	2	1	no	—
196	#14556565	—	2	2	no	—
197	#14556564	—	2	2	no	—
198	#14556564	—	2	2	no	—
199	#14556564	—	2	2	no	—
200	#14556563	—	2	2	no	—
201	#14556563	—	2	2	no	—
202	#14556563	—	2	2	no	—
203	#14556562	—	2	1	no	—
204	#14556562	—	2	2	no	—
205	Q₈×Dic₇₃	—	2	1	no	—
206	Q₈×Dic₇₃	D₄	1	1	yes	characteristic
207	Q₈×Dic₇₃	C₂³	1	1	yes	characteristic
208	Q₈×Dic₇₃	C₂³	1	2	yes	—
209	C₄×Dic₁₄₆	—	2	1	no	—
210	C₄×Dic₁₄₆	—	2	2	no	—
211	C₄×Dic₁₄₆	—	2	1	no	—
212	C₄×Dic₁₄₆	—	2	2	no	—
213	C₄×Dic₁₄₆	C₂³	1	1	yes	characteristic
214	C₄×Dic₁₄₆	C₂³	1	2	yes	—
215	C₄×Dic₁₄₆	C₂³	1	1	yes	characteristic
216	C₄×Dic₁₄₆	C₂³	1	2	yes	—
217	#14556556	—	2	2	no	—
218	#14556556	—	2	2	no	—
219	#14556556	—	2	1	no	—
220	#14556556	—	2	1	no	—
221	#14556556	D₄	1	2	yes	—
222	#14556556	D₄	1	1	yes	characteristic
223	#14556556	C₂³	1	1	yes	characteristic
224	#14556556	C₂³	1	2	yes	—
225	C₄×D₂₉₂	C₂³	1	1	yes	characteristic
226	C₄×D₂₉₂	C₂³	1	2	yes	—
227	D₄×Dic₇₃	C₂³	1	1	yes	characteristic
228	D₄×Dic₇₃	C₂³	1	2	yes	—
229	#14556553	C₂³	1	1	yes	characteristic
230	#14556553	C₂³	1	2	yes	—
231	C₄×C₂²⋊D₇₃	—	2	2	no	—
232	C₄×C₂²⋊D₇₃	—	2	1	no	—
233	#14556551	—	2	1	no	—
234	#14556551	—	2	2	no	—
235	C₄⋊C₄×D₇₃	—	2	2	no	—
236	C₄⋊C₄×D₇₃	—	2	2	no	—
237	C₄⋊C₄×D₇₃	—	2	1	no	—
238	C₄⋊C₄×D₇₃	—	2	2	no	—
239	C₄⋊C₄×D₇₃	—	2	1	no	—
240	C₄⋊C₄×D₇₃	D₄	1	1	yes	characteristic
241	C₄⋊C₄×D₇₃	D₄	1	2	yes	—
242	C₄⋊C₄×D₇₃	C₂³	1	1	yes	characteristic
243	C₄⋊C₄×D₇₃	C₂³	1	1	yes	characteristic
244	C₄⋊C₄×D₇₃	C₂³	1	2	yes	—
245	C₂²⋊C₄×D₇₃	—	2	2	no	—
246	C₂²⋊C₄×D₇₃	—	2	1	no	—
247	C₄²×D₇₃	—	2	1	no	—
248	C₄²×D₇₃	—	2	2	no	—
249	C₄²×D₇₃	C₂³	1	1	yes	characteristic
250	C₄²×D₇₃	C₂³	1	2	yes	—
251	#14556525	C₂³	1	2	yes	—
252	#14556524	C₂³	1	2	yes	—
253	#14556524	C₂³	1	2	yes	—
254	#14556523	C₂³	1	1	yes	characteristic
255	#14556522	C₂³	1	1	yes	characteristic
256	#14556522	C₂³	1	1	yes	characteristic
257	C₄⋊#10596831	C₂³	1	1	yes	characteristic
258	C₄⋊#10596831	C₂³	1	2	yes	—
259	#14556520	C₂³	1	2	yes	—
260	#14556520	C₂³	1	2	yes	—
261	#14556520	C₂³	1	2	yes	—
262	#14556516	C₂³	1	1	yes	characteristic
263	#14556515	C₂³	1	1	yes	characteristic
264	#14556514	C₂³	1	1	yes	characteristic
265	#14556513	C₂³	1	2	yes	—
266	#14556513	C₂³	1	2	yes	—
267	#14556513	C₂³	1	2	yes	—
268	#14556513	C₂³	1	1	yes	characteristic
269	#14556513	C₂³	1	2	yes	—
270	#14556512	C₂³	1	2	yes	—
271	#14556512	C₂³	1	2	yes	—
272	#14556512	C₂³	1	2	yes	—
273	#14556512	C₂³	1	1	yes	characteristic
274	#14556512	C₂³	1	2	yes	—
275	#14556511	C₂³	1	2	yes	—
276	#14556511	C₂³	1	2	yes	—
277	#14556511	C₂³	1	2	yes	—
278	#14556511	C₂³	1	1	yes	characteristic
279	#14556511	C₂³	1	2	yes	—
280	#14556502	C₂³	1	2	yes	—
281	#14556501	C₂³	1	2	yes	—
282	#14556501	C₂³	1	2	yes	—
283	C₄×#10596831	C₂³	1	1	yes	characteristic
284	C₈×Dic₇₃	C₂³	1	1	yes	characteristic
285	C₈×Dic₇₃	C₂³	1	1	yes	characteristic
286	C₂×#41×C₇₃	—	2	1	no	—
287	C₂×SD₁₆×C₇₃	C₂³	1	1	yes	characteristic
288	C₂×SD₁₆×C₇₃	C₂³	1	2	yes	—
289	C₄⋊Q₈×C₇₃	—	2	1	no	—
290	C₄⋊Q₈×C₇₃	C₂³	1	1	yes	characteristic
291	#127×C₇₃	C₂³	1	1	yes	characteristic
292	#127×C₇₃	C₂³	1	2	yes	—
293	#125×C₇₃	—	2	2	no	—
294	#125×C₇₃	C₂³	1	2	yes	—
295	#121×C₇₃	—	2	1	no	—
296	#121×C₇₃	—	2	2	no	—
297	C₄×Q₈×C₇₃	—	2	1	no	—
298	C₄×Q₈×C₇₃	C₂³	1	1	yes	characteristic
299	C₄×Q₈×C₇₃	C₂³	1	2	yes	—
300	C₄×Q₈×C₇₃	C₂³	1	1	yes	characteristic
301	C₄×D₄×C₇₃	C₂³	1	1	yes	characteristic
302	C₄×D₄×C₇₃	C₂³	1	2	yes	—
303	#107×C₇₃	C₂³	1	2	yes	—
304	#106×C₇₃	C₂³	1	1	yes	characteristic
305	C₄⋊C₈×C₇₃	C₂³	1	1	yes	characteristic
306	C₄⋊C₈×C₇₃	C₂³	1	2	yes	—
307	#103×C₇₃	C₂³	1	1	yes	characteristic
308	#102×C₇₃	C₂³	1	2	yes	—
309	#102×C₇₃	C₂³	1	2	yes	—
310	#102×C₇₃	C₂³	1	2	yes	—
311	#102×C₇₃	C₂³	1	1	yes	characteristic
312	#102×C₇₃	C₂³	1	2	yes	—
313	#97×C₇₃	C₂³	1	2	yes	—
314	C₄×C₈×C₇₃	C₂³	1	1	yes	characteristic
315	C₂³×D₇₃	—	2	2	no	—
316	C₂³×D₇₃	—	2	1	no	—
317	#11924029	—	4	4	no	—
318	#11924028	—	4	4	no	—
319	#11924028	—	4	8	no	—
320	#11924027	—	4	4	no	—
321	#11924027	—	4	8	no	—
322	C₂×Dic₁₄₆	—	2	1	no	—
323	C₂×Dic₁₄₆	—	2	1	no	—
324	C₂×Dic₁₄₆	—	2	2	no	—
325	C₂×Dic₁₄₆	C₂×D₄	1	1	yes	characteristic
326	C₂×Dic₁₄₆	C₂×D₄	1	2	yes	—
327	C₂×Dic₁₄₆	C₂⁴	1	1	yes	characteristic
328	Q₈×D₇₃	—	2	4	no	—
329	Q₈×D₇₃	—	2	2	no	—
330	Q₈×D₇₃	—	4	4	no	—
331	Q₈×D₇₃	#41	1	4	yes	complemented
332	C₂×D₂₉₂	—	2	2	no	—
333	C₂×D₂₉₂	—	2	1	no	—
334	C₂×D₂₉₂	—	2	2	no	—
335	C₂×D₂₉₂	—	2	1	no	—
336	C₂×D₂₉₂	C₂⁴	1	1	yes	characteristic
337	C₂×D₂₉₂	C₂⁴	1	2	yes	—
338	C₂×C₂²⋊D₇₃	—	2	1	no	—
339	C₂×C₂²⋊D₇₃	—	2	2	no	—
340	C₂×C₂²⋊D₇₃	—	2	2	no	—
341	C₂×C₂²⋊D₇₃	—	2	2	no	—
342	C₂×C₂²⋊D₇₃	—	2	2	no	—
343	C₂×C₂²⋊D₇₃	—	2	2	no	—
344	C₂×C₂²⋊D₇₃	—	2	2	no	—
345	C₂×C₂²⋊D₇₃	—	2	2	no	—
346	D₄×D₇₃	—	2	2	no	—
347	D₄×D₇₃	—	2	4	no	—
348	D₄×D₇₃	—	2	4	no	—
349	D₄×D₇₃	—	2	2	no	—
350	D₄×D₇₃	—	4	8	no	—
351	D₄×D₇₃	—	4	4	no	—
352	D₄×D₇₃	—	8	4	no	—
353	D₄×D₇₃	—	8	2	no	—
354	C₂²×Dic₇₃	—	2	2	no	—
355	C₂²×Dic₇₃	—	2	1	no	—
356	C₂×C₄×D₇₃	—	2	1	no	—
357	C₂×C₄×D₇₃	—	2	1	no	—
358	C₂×C₄×D₇₃	—	2	2	no	—
359	C₂×C₄×D₇₃	—	2	1	no	—
360	C₂×C₄×D₇₃	—	2	2	no	—
361	C₂×C₄×D₇₃	—	2	1	no	—
362	C₂×C₄×D₇₃	—	2	2	no	—
363	C₂×C₄×D₇₃	—	2	1	no	—
364	C₂×C₄×D₇₃	—	4	8	no	—
365	C₂×C₄×D₇₃	—	4	4	no	—
366	C₂×C₄×D₇₃	C₂×D₄	1	2	yes	—
367	C₂×C₄×D₇₃	C₂×D₄	1	1	yes	characteristic
368	C₂×C₄×D₇₃	C₂×D₄	1	2	yes	—
369	C₂×C₄×D₇₃	C₂×D₄	1	1	yes	characteristic
370	C₂×C₄×D₇₃	C₂⁴	1	1	yes	characteristic
371	#11924017	—	2	2	no	—
372	#11924017	—	2	4	no	—
373	#11924016	—	2	2	no	—
374	#11924016	—	2	4	no	—
375	#11924015	—	2	2	no	—
376	#11924015	—	2	4	no	—
377	C₂×#10596831	C₂⁴	1	1	yes	characteristic
378	C₂×#10596831	C₂⁴	1	1	yes	characteristic
379	C₂×#10596831	C₂⁴	1	2	yes	—
380	C₈×D₇₃	—	2	2	no	—
381	C₈×D₇₃	—	2	4	no	—
382	C₈×D₇₃	—	2	2	no	—
383	C₄⋊Dic₇₃	—	2	1	no	—
384	C₄⋊Dic₇₃	—	2	2	no	—
385	C₄⋊Dic₇₃	—	2	1	no	—
386	C₄⋊Dic₇₃	—	2	2	no	—
387	C₄⋊Dic₇₃	—	2	2	no	—
388	C₄⋊Dic₇₃	C₂×D₄	1	1	yes	characteristic
389	C₄⋊Dic₇₃	C₂×D₄	1	2	yes	—
390	C₄⋊Dic₇₃	C₂⁴	1	1	yes	characteristic
391	C₄⋊Dic₇₃	C₂⁴	1	2	yes	—
392	C₄⋊Dic₇₃	C₂⁴	1	1	yes	characteristic
393	#11924007	—	2	2	no	—
394	#11924007	—	2	1	no	—
395	#11924007	—	2	2	no	—
396	#11924007	—	2	2	no	—
397	#11924007	—	2	2	no	—
398	#11924007	—	2	1	no	—
399	#11924007	—	2	2	no	—
400	#11924007	—	2	2	no	—
401	#11924007	—	2	2	no	—
402	#11924007	—	2	1	no	—
403	#11924007	—	2	1	no	—
404	#11924007	—	2	2	no	—
405	#11924007	C₂×D₄	1	2	yes	—
406	#11924007	C₂×D₄	1	2	yes	—
407	#11924007	C₂×D₄	1	2	yes	—
408	C₂²⋊Dic₇₃	—	2	2	no	—
409	C₂²⋊Dic₇₃	—	2	1	no	—
410	#11924005	—	2	2	no	—
411	#11924005	—	2	1	no	—
412	#11924005	—	2	2	no	—
413	#11924005	—	2	1	no	—
414	C₄×Dic₇₃	—	2	2	no	—
415	C₄×Dic₇₃	—	2	1	no	—
416	C₄×Dic₇₃	—	2	1	no	—
417	C₄×Dic₇₃	—	2	2	no	—
418	C₄×Dic₇₃	—	2	2	no	—
419	C₄×Dic₇₃	—	2	1	no	—
420	C₄×Dic₇₃	C₂×D₄	1	1	yes	characteristic
421	C₄×Dic₇₃	C₂×D₄	1	2	yes	—
422	C₄×Dic₇₃	C₂×D₄	1	2	yes	—
423	C₄×Dic₇₃	C₂×D₄	1	1	yes	characteristic
424	C₄×Dic₇₃	C₂⁴	1	1	yes	characteristic
425	C₄×Dic₇₃	C₂⁴	1	2	yes	—
426	#41×C₇₃	—	4	4	no	—
427	C₂×Q₈×C₇₃	—	2	1	no	—
428	C₂×Q₈×C₇₃	C₂×D₄	1	1	yes	characteristic
429	C₂×Q₈×C₇₃	C₂⁴	1	1	yes	characteristic
430	C₂×D₄×C₇₃	—	2	2	no	—
431	C₂×D₄×C₇₃	—	2	1	no	—
432	C₂×D₄×C₇₃	—	2	2	no	—
433	C₂×D₄×C₇₃	—	2	1	no	—
434	C₂×D₄×C₇₃	C₂⁴	1	1	yes	characteristic
435	C₂×D₄×C₇₃	C₂⁴	1	2	yes	—
436	C₂²×C₄×C₇₃	—	2	2	no	—
437	C₂²×C₄×C₇₃	—	2	1	no	—
438	SD₁₆×C₇₃	—	2	2	no	—
439	SD₁₆×C₇₃	—	2	4	no	—
440	C₂×C₈×C₇₃	C₂⁴	1	1	yes	characteristic
441	C₂×C₈×C₇₃	C₂⁴	1	1	yes	characteristic
442	C₂×C₈×C₇₃	C₂⁴	1	2	yes	—
443	C₄⋊C₄×C₇₃	—	2	2	no	—
444	C₄⋊C₄×C₇₃	—	2	1	no	—
445	C₄⋊C₄×C₇₃	—	2	2	no	—
446	C₄⋊C₄×C₇₃	—	2	1	no	—
447	C₄⋊C₄×C₇₃	—	2	2	no	—
448	C₄⋊C₄×C₇₃	C₂×D₄	1	1	yes	characteristic
449	C₄⋊C₄×C₇₃	C₂×D₄	1	2	yes	—
450	C₄⋊C₄×C₇₃	C₂⁴	1	1	yes	characteristic
451	C₄⋊C₄×C₇₃	C₂⁴	1	2	yes	—
452	C₄⋊C₄×C₇₃	C₂⁴	1	1	yes	characteristic
453	C₂²⋊C₄×C₇₃	—	2	2	no	—
454	C₂²⋊C₄×C₇₃	—	2	1	no	—
455	C₄²×C₇₃	—	2	2	no	—
456	C₄²×C₇₃	—	2	1	no	—
457	C₄²×C₇₃	C₂⁴	1	1	yes	characteristic
458	C₄²×C₇₃	C₂⁴	1	2	yes	—
459	C₂³×C₇₃	—	2	2	no	—
460	C₂³×C₇₃	—	2	1	no	—
461	C₂²×D₇₃	—	2	2	no	—
462	C₂²×D₇₃	—	2	1	no	—
463	C₂²×D₇₃	—	4	4	no	—
464	C₂²×D₇₃	—	4	2	no	—
465	C₂²×D₇₃	—	4	4	no	—
466	C₂²×D₇₃	—	4	2	no	—
467	C₂²×D₇₃	—	4	4	no	—
468	C₂²×D₇₃	—	4	2	no	—
469	C₂²×D₇₃	C₂²×D₄	1	1	yes	characteristic
470	Q₈×C₇₃	—	2	2	no	—
471	Q₈×C₇₃	—	2	1	no	—
472	Q₈×C₇₃	—	4	2	no	—
473	Q₈×C₇₃	C₂×#41	1	2	yes	complemented
474	D₄×C₇₃	—	2	1	no	—
475	D₄×C₇₃	—	2	2	no	—
476	D₄×C₇₃	—	2	1	no	—
477	D₄×C₇₃	—	2	2	no	—
478	D₄×C₇₃	—	4	4	no	—
479	D₄×C₇₃	—	4	2	no	—
480	D₄×C₇₃	—	8	2	no	—
481	D₄×C₇₃	—	8	1	no	—
482	C₂×C₄×C₇₃	—	2	1	no	—
483	C₂×C₄×C₇₃	—	2	1	no	—
484	C₂×C₄×C₇₃	—	2	2	no	—
485	C₂×C₄×C₇₃	—	2	1	no	—
486	C₂×C₄×C₇₃	—	4	4	no	—
487	C₂×C₄×C₇₃	—	4	2	no	—
488	C₂×C₄×C₇₃	C₂²×D₄	1	2	yes	—
489	C₂×C₄×C₇₃	C₂²×D₄	1	1	yes	characteristic
490	C₂×C₄×C₇₃	C₂²×D₄	1	2	yes	—
491	C₂×C₄×C₇₃	C₂²×D₄	1	1	yes	characteristic
492	C₂×C₄×C₇₃	C₂⁵	1	1	yes	characteristic
493	C₂²⋊D₇₃	—	4	4	no	—
494	C₂²⋊D₇₃	—	4	4	no	—
495	C₂²⋊D₇₃	—	4	2	no	—
496	C₂²⋊D₇₃	—	4	4	no	—
497	C₂²⋊D₇₃	—	4	4	no	—
498	C₂²⋊D₇₃	—	8	2	no	—
499	C₂²⋊D₇₃	—	8	2	no	—
500	C₂²⋊D₇₃	—	8	2	no	—
501	C₂×Dic₇₃	—	2	1	no	—
502	C₂×Dic₇₃	—	2	1	no	—
503	C₂×Dic₇₃	—	2	2	no	—
504	C₂×Dic₇₃	—	2	1	no	—
505	C₂×Dic₇₃	—	4	4	no	—
506	C₂×Dic₇₃	—	4	2	no	—
507	C₂×Dic₇₃	C₂²×D₄	1	2	yes	—
508	C₂×Dic₇₃	C₂²×D₄	1	1	yes	characteristic
509	C₂×Dic₇₃	C₂²×D₄	1	2	yes	—
510	C₂×Dic₇₃	C₂²×D₄	1	1	yes	characteristic
511	C₂×Dic₇₃	C₂²×D₄	1	1	yes	characteristic
512	D₂₉₂	—	2	1	no	—
513	D₂₉₂	—	2	2	no	—
514	D₂₉₂	—	2	1	no	—
515	D₂₉₂	—	2	2	no	—
516	D₂₉₂	—	4	4	no	—
517	D₂₉₂	—	4	2	no	—
518	D₂₉₂	—	8	2	no	—
519	D₂₉₂	—	8	1	no	—
520	C₄×D₇₃	—	2	4	no	—
521	C₄×D₇₃	—	2	4	no	—
522	C₄×D₇₃	—	2	4	no	—
523	C₄×D₇₃	—	2	2	no	—
524	C₄×D₇₃	—	4	4	no	—
525	C₄×D₇₃	—	4	4	no	—
526	C₄×D₇₃	—	4	2	no	—
527	C₄×D₇₃	—	4	4	no	—
528	C₄×D₇₃	—	4	2	no	—
529	C₄×D₇₃	—	4	2	no	—
530	C₄×D₇₃	—	4	2	no	—
531	C₄×D₇₃	AGL(1,ℤ/8)	1	4	yes	—
532	C₄×D₇₃	C₂×#41	1	2	yes	—
533	C₄×D₇₃	2₋¹⁺⁴	1	2	yes	—
534	Dic₁₄₆	—	2	2	no	—
535	Dic₁₄₆	—	2	1	no	—
536	Dic₁₄₆	—	2	4	no	—
537	Dic₁₄₆	—	2	4	no	—
538	Dic₁₄₆	—	4	2	no	—
539	Dic₁₄₆	—	4	4	no	—
540	Dic₁₄₆	C₂×#41	1	2	yes	complemented
541	C₈×C₇₃	—	2	1	no	—
542	C₈×C₇₃	—	2	2	no	—
543	C₈×C₇₃	—	2	1	no	—
544	#10596831	—	2	1	no	—
545	#10596831	—	2	2	no	—
546	#10596831	—	2	1	no	—
547	C₂²×C₇₃	—	4	2	no	—
548	C₂²×C₇₃	—	4	1	no	—
549	C₂²×C₇₃	—	4	2	no	—
550	C₂²×C₇₃	—	4	1	no	—
551	C₂²×C₇₃	—	4	2	no	—
552	C₂²×C₇₃	—	4	1	no	—
553	C₂²×C₇₃	C₂³×D₄	1	1	yes	characteristic
554	C₂×D₇₃	—	4	2	no	—
555	C₂×D₇₃	—	4	1	no	—
556	C₂×D₇₃	—	4	2	no	—
557	C₂×D₇₃	—	4	1	no	—
558	C₂×D₇₃	—	4	2	no	—
559	C₂×D₇₃	—	4	1	no	—
560	C₂×D₇₃	—	8	8	no	—
561	C₂×D₇₃	—	8	4	no	—
562	C₂×D₇₃	#548	1	2	yes	—
563	C₂×D₇₃	C₂×AGL(1,ℤ/8)	1	2	yes	—
564	C₂×D₇₃	#577	1	2	yes	—
565	C₄×C₇₃	—	2	2	no	—
566	C₄×C₇₃	—	2	2	no	—
567	C₄×C₇₃	—	2	2	no	—
568	C₄×C₇₃	—	2	1	no	—
569	C₄×C₇₃	—	4	2	no	—
570	C₄×C₇₃	—	4	1	no	—
571	C₄×C₇₃	—	4	1	no	—
572	C₄×C₇₃	C₂×AGL(1,ℤ/8)	1	2	yes	—
573	C₄×C₇₃	C₂²×#41	1	1	yes	characteristic
574	C₄×C₇₃	C₂×2₋¹⁺⁴	1	1	yes	characteristic
575	Dic₇₃	—	2	2	no	—
576	Dic₇₃	—	2	2	no	—
577	Dic₇₃	—	2	2	no	—
578	Dic₇₃	—	2	1	no	—
579	Dic₇₃	—	4	2	no	—
580	Dic₇₃	—	4	1	no	—
581	Dic₇₃	—	4	1	no	—
582	Dic₇₃	#548	1	2	yes	—
583	Dic₇₃	C₂×AGL(1,ℤ/8)	1	2	yes	—
584	C₂×#3368	—	73	1	no	maximal, Sylow
585	C₂×C₇₃	—	8	2	no	—
586	C₂×C₇₃	—	8	1	no	—
587	C₂×C₇₃	C₂×#548	1	1	yes	characteristic
588	C₂×C₇₃	C₂²×AGL(1,ℤ/8)	1	1	yes	characteristic
589	C₂×C₇₃	C₂×#577	1	1	yes	characteristic
590	D₇₃	—	8	2	no	—
591	D₇₃	—	8	1	no	—
592	D₇₃	#3368	1	4	yes	direct product factor
593	C₂×#557	—	73	1	no	—
594	C₂×#550	—	73	1	no	—
595	#3368	—	73	2	no	—
596	#3368	—	73	1	no	—
597	#3368	—	73	2	no	—
598	#3368	—	73	1	no	—
599	#3368	—	73	2	no	—
600	#3368	—	73	1	no	—
601	#3368	—	73	1	no	—
602	#3368	—	73	2	no	—
603	#3368	—	73	1	no	—
604	#3368	—	73	1	no	—
605	#3368	—	73	1	no	—
606	#3368	D₇₃	1	1	yes	characteristic, direct product factor
607	C₂×#490	—	73	2	no	—
608	C₂×#486	—	73	1	no	—
609	C₂×#478	—	73	2	no	—
610	C₂×#474	—	73	1	no	—
611	C₂×#460	—	73	1	no	—
612	C₂×#460	—	73	2	no	—
613	C₂×#446	—	73	1	no	—
614	C₂×#440	—	73	2	no	—
615	C₂×C₄×SD₁₆	—	73	1	no	—
616	C₇₃	C₂×#3368	1	1	yes	characteristic, complemented, Sylow
617	C₂²×#41	—	146	1	no	—
618	C₂²×SD₁₆	—	73	1	no	—
619	C₂²×SD₁₆	—	73	2	no	—
620	#557	—	73	1	no	—
621	#557	—	73	2	no	—
622	#557	—	73	2	no	—
623	#557	—	73	1	no	—
624	#557	—	73	1	no	—
625	#557	—	146	1	no	—
626	#557	—	146	2	no	—
627	#557	—	146	1	no	—
628	#557	C₂×D₇₃	1	1	yes	characteristic, complemented
629	#550	—	73	2	no	—
630	#550	—	73	1	no	—
631	#550	—	73	1	no	—
632	#550	—	73	2	no	—
633	#550	—	73	1	no	—
634	#550	—	146	1	no	—
635	#550	—	146	2	no	—
636	#550	—	146	1	no	—
637	#550	C₂×D₇₃	1	1	yes	characteristic
638	C₂×C₄⋊Q₈	—	73	1	no	—
639	C₂×C₄⋊Q₈	—	146	1	no	—
640	C₂×#127	—	73	1	no	—
641	C₂×#127	—	73	2	no	—
642	C₂×#125	—	73	2	no	—
643	C₂×#125	—	146	2	no	—
644	C₂×#121	—	146	1	no	—
645	C₂×#121	—	146	2	no	—
646	C₂×C₄×Q₈	—	73	1	no	—
647	C₂×C₄×Q₈	—	73	1	no	—
648	C₂×C₄×Q₈	—	73	2	no	—
649	C₂×C₄×Q₈	—	146	1	no	—
650	C₂×C₄×D₄	—	73	2	no	—
651	C₂×C₄×D₄	—	73	1	no	—
652	#490	—	73	2	no	—
653	#490	—	73	2	no	—
654	#490	—	73	2	no	—
655	#490	—	73	2	no	—
656	#490	—	73	2	no	—
657	#490	—	73	2	no	—
658	#490	—	73	2	no	—
659	#490	C₂×D₇₃	1	2	yes	complemented
660	#486	—	73	1	no	—
661	#486	—	73	1	no	—
662	#486	—	73	2	no	—
663	#486	—	73	2	no	—
664	#486	—	73	1	no	—
665	#486	C₂×D₇₃	1	1	yes	characteristic, complemented
666	#478	—	73	2	no	—
667	#478	—	73	2	no	—
668	#478	—	73	2	no	—
669	#478	—	73	2	no	—
670	#478	—	73	2	no	—
671	#478	—	73	2	no	—
672	#478	—	73	2	no	—
673	#478	C₂×D₇₃	1	2	yes	complemented
674	#474	—	73	1	no	—
675	#474	—	73	1	no	—
676	#474	—	73	2	no	—
677	#474	—	73	1	no	—
678	#474	—	73	2	no	—
679	#474	C₂×D₇₃	1	1	yes	characteristic, complemented
680	#460	—	73	2	no	—
681	#460	—	73	2	no	—
682	#460	—	73	2	no	—
683	#460	—	73	2	no	—
684	#460	—	73	1	no	—
685	#460	—	73	2	no	—
686	#460	—	73	1	no	—
687	#460	—	73	2	no	—
688	#460	—	73	1	no	—
689	#460	—	73	2	no	—
690	#460	—	73	2	no	—
691	#460	—	73	2	no	—
692	#460	C₂×D₇₃	1	2	yes	complemented
693	#460	C₂×D₇₃	1	1	yes	characteristic, complemented
694	#446	—	73	1	no	—
695	#446	—	73	1	no	—
696	#446	—	73	2	no	—
697	#446	—	73	2	no	—
698	#446	—	73	1	no	—
699	#446	C₂×D₇₃	1	1	yes	characteristic, complemented
700	#440	—	73	2	no	—
701	#440	—	73	2	no	—
702	#440	—	73	2	no	—
703	#440	—	73	2	no	—
704	#440	—	73	2	no	—
705	#440	—	73	2	no	—
706	#440	—	73	2	no	—
707	#440	C₂×D₇₃	1	2	yes	complemented
708	C₄×SD₁₆	—	73	1	no	—
709	C₄×SD₁₆	—	73	1	no	—
710	C₄×SD₁₆	—	73	1	no	—
711	C₄×SD₁₆	—	73	1	no	—
712	C₄×SD₁₆	—	73	1	no	—
713	C₄×SD₁₆	—	73	1	no	—
714	C₄×SD₁₆	—	73	1	no	—
715	C₄×SD₁₆	C₂×D₇₃	1	1	yes	characteristic, complemented
716	C₂×#107	—	73	2	no	—
717	C₂×#106	—	73	1	no	—
718	C₂×C₄⋊C₈	—	73	2	no	—
719	C₂×C₄⋊C₈	—	73	1	no	—
720	C₂×#103	—	73	1	no	—
721	C₂×#102	—	73	2	no	—
722	C₂×#102	—	73	2	no	—
723	C₂×#102	—	73	2	no	—
724	C₂×#102	—	73	1	no	—
725	C₂×#102	—	73	2	no	—
726	C₂×#97	—	73	2	no	—
727	C₂×C₄×C₈	—	73	1	no	—
728	C₂×#41	—	2	1	no	—
729	C₂×#41	—	292	8	no	—
730	C₂×#41	—	146	2	no	—
731	C₂×#41	—	146	1	no	—
732	C₂×#41	—	146	2	no	—
733	C₂×#41	—	146	1	no	—
734	C₂×#41	—	146	1	no	—
735	C₂²×Q₈	—	73	1	no	—
736	C₂²×Q₈	—	73	1	no	—
737	C₂²×Q₈	—	146	1	no	—
738	C₂²×D₄	—	73	2	no	—
739	C₂²×D₄	—	73	1	no	—
740	C₂²×D₄	—	146	1	no	—
741	C₂²×D₄	—	146	2	no	—
742	C₂²×D₄	—	146	2	no	—
743	C₂²×D₄	—	146	1	no	—
744	C₂³×C₄	—	146	1	no	—
745	C₂³×C₄	—	146	2	no	—
746	C₂×SD₁₆	—	73	1	no	—
747	C₂×SD₁₆	—	73	2	no	—
748	C₂×SD₁₆	—	73	1	no	—
749	C₂×SD₁₆	—	73	2	no	—
750	C₂×SD₁₆	—	73	1	no	—
751	C₂×SD₁₆	—	73	2	no	—
752	C₂×SD₁₆	—	146	4	no	—
753	C₂×SD₁₆	—	146	8	no	—
754	C₂×SD₁₆	C₂²×D₇₃	1	1	yes	characteristic
755	C₂×SD₁₆	C₂²×D₇₃	1	2	yes	—
756	C₂²×C₈	—	73	1	no	—
757	C₂²×C₈	—	73	2	no	—
758	C₂²×C₈	—	73	1	no	—
759	C₄⋊Q₈	—	2	1	no	—
760	C₄⋊Q₈	—	73	2	no	—
761	C₄⋊Q₈	—	73	1	no	—
762	C₄⋊Q₈	—	146	1	no	—
763	C₄⋊Q₈	—	146	1	no	—
764	C₄⋊Q₈	—	146	1	no	—
765	C₄⋊Q₈	—	146	2	no	—
766	C₄⋊Q₈	—	146	2	no	—
767	C₄⋊Q₈	—	146	1	no	—
768	C₄⋊Q₈	—	146	1	no	—
769	C₄⋊Q₈	C₂²×D₇₃	1	1	yes	characteristic
770	#127	—	73	2	no	—
771	#127	—	73	2	no	—
772	#127	—	73	2	no	—
773	#127	—	73	1	no	—
774	#127	—	73	2	no	—
775	#127	—	146	2	no	—
776	#127	—	146	2	no	—
777	#127	—	146	1	no	—
778	#127	—	146	1	no	—
779	#127	C₂²×D₇₃	1	1	yes	characteristic
780	#127	C₂²×D₇₃	1	2	yes	—
781	#125	—	2	2	no	—
782	#125	—	73	2	no	—
783	#125	—	73	2	no	—
784	#125	—	73	2	no	—
785	#125	—	146	2	no	—
786	#125	—	146	2	no	—
787	#125	—	146	2	no	—
788	#125	—	146	2	no	—
789	#125	—	146	2	no	—
790	#125	—	146	2	no	—
791	#125	—	146	2	no	—
792	#125	—	146	2	no	—
793	#125	—	146	2	no	—
794	#125	C₂²×D₇₃	1	2	yes	—
795	#121	—	2	1	no	—
796	#121	—	2	2	no	—
797	#121	—	146	2	no	—
798	#121	—	146	2	no	—
799	#121	—	146	2	no	—
800	#121	—	146	1	no	—
801	#121	—	146	2	no	—
802	#121	—	146	1	no	—
803	#121	—	146	2	no	—
804	#121	—	146	2	no	—
805	#121	—	146	2	no	—
806	#121	—	146	2	no	—
807	#121	—	146	1	no	—
808	#121	—	146	2	no	—
809	C₄×Q₈	—	2	1	no	—
810	C₄×Q₈	—	73	1	no	—
811	C₄×Q₈	—	73	2	no	—
812	C₄×Q₈	—	73	1	no	—
813	C₄×Q₈	—	73	2	no	—
814	C₄×Q₈	—	73	1	no	—
815	C₄×Q₈	—	73	1	no	—
816	C₄×Q₈	—	73	2	no	—
817	C₄×Q₈	—	73	1	no	—
818	C₄×Q₈	—	73	2	no	—
819	C₄×Q₈	—	73	1	no	—
820	C₄×Q₈	—	73	2	no	—
821	C₄×Q₈	—	146	2	no	—
822	C₄×Q₈	—	146	1	no	—
823	C₄×Q₈	—	146	2	no	—
824	C₄×Q₈	—	146	1	no	—
825	C₄×Q₈	—	146	2	no	—
826	C₄×Q₈	—	146	1	no	—
827	C₄×Q₈	—	146	2	no	—
828	C₄×Q₈	—	146	1	no	—
829	C₄×Q₈	—	146	1	no	—
830	C₄×Q₈	C₂²×D₇₃	1	1	yes	characteristic
831	C₄×Q₈	C₂²×D₇₃	1	2	yes	—
832	C₄×Q₈	C₂²×D₇₃	1	1	yes	characteristic
833	C₄×D₄	—	73	1	no	—
834	C₄×D₄	—	73	2	no	—
835	C₄×D₄	—	73	1	no	—
836	C₄×D₄	—	73	2	no	—
837	C₄×D₄	—	73	1	no	—
838	C₄×D₄	—	73	2	no	—
839	C₄×D₄	—	146	2	no	—
840	C₄×D₄	—	146	1	no	—
841	C₄×D₄	—	146	2	no	—
842	C₄×D₄	—	146	1	no	—
843	C₄×D₄	C₂²×D₇₃	1	1	yes	characteristic
844	C₄×D₄	C₂²×D₇₃	1	2	yes	—
845	C₂×C₄⋊C₄	—	73	1	no	—
846	C₂×C₄⋊C₄	—	73	2	no	—
847	C₂×C₄⋊C₄	—	73	1	no	—
848	C₂×C₄⋊C₄	—	73	1	no	—
849	C₂×C₄⋊C₄	—	73	2	no	—
850	C₂×C₄⋊C₄	—	146	1	no	—
851	C₂×C₄⋊C₄	—	146	2	no	—
852	C₂×C₄⋊C₄	—	146	2	no	—
853	C₂×C₄⋊C₄	—	146	2	no	—
854	C₂×C₄⋊C₄	—	146	1	no	—
855	C₂×C₂²⋊C₄	—	146	2	no	—
856	C₂×C₂²⋊C₄	—	146	1	no	—
857	C₂×C₄²	—	73	2	no	—
858	C₂×C₄²	—	73	1	no	—
859	C₂×C₄²	—	146	2	no	—
860	C₂×C₄²	—	146	1	no	—
861	#107	—	73	2	no	—
862	#107	—	73	2	no	—
863	#107	—	73	2	no	—
864	#107	C₂²×D₇₃	1	2	yes	—
865	#106	—	73	1	no	—
866	#106	—	73	1	no	—
867	#106	—	73	1	no	—
868	#106	C₂²×D₇₃	1	1	yes	characteristic
869	C₄⋊C₈	—	73	2	no	—
870	C₄⋊C₈	—	73	2	no	—
871	C₄⋊C₈	—	73	2	no	—
872	C₄⋊C₈	—	73	1	no	—
873	C₄⋊C₈	—	73	2	no	—
874	C₄⋊C₈	C₂²×D₇₃	1	1	yes	characteristic
875	C₄⋊C₈	C₂²×D₇₃	1	2	yes	—
876	#103	—	73	1	no	—
877	#103	—	73	1	no	—
878	#103	—	73	1	no	—
879	#103	C₂²×D₇₃	1	1	yes	characteristic
880	#102	—	73	1	no	—
881	#102	—	73	2	no	—
882	#102	—	73	2	no	—
883	#102	—	73	2	no	—
884	#102	—	73	2	no	—
885	#102	—	73	1	no	—
886	#102	—	73	2	no	—
887	#102	—	73	2	no	—
888	#102	—	73	2	no	—
889	#102	—	73	2	no	—
890	#102	—	73	1	no	—
891	#102	—	73	2	no	—
892	#102	—	73	2	no	—
893	#102	—	73	2	no	—
894	#102	—	73	2	no	—
895	#102	C₂²×D₇₃	1	1	yes	characteristic
896	#102	C₂²×D₇₃	1	2	yes	—
897	#102	C₂²×D₇₃	1	2	yes	—
898	#102	C₂²×D₇₃	1	2	yes	—
899	#102	C₂²×D₇₃	1	2	yes	—
900	#97	—	73	2	no	—
901	#97	—	73	2	no	—
902	#97	—	73	2	no	—
903	#97	C₂²×D₇₃	1	2	yes	—
904	C₄×C₈	—	73	1	no	—
905	C₄×C₈	—	73	1	no	—
906	C₄×C₈	—	73	1	no	—
907	C₄×C₈	C₂²×D₇₃	1	1	yes	characteristic
908	C₂⁴	—	146	1	no	—
909	C₂⁴	—	146	2	no	—
910	#41	—	4	4	no	—
911	#41	—	292	8	no	—
912	#41	—	292	4	no	—
913	#41	—	292	8	no	—
914	#41	—	292	4	no	—
915	#41	—	292	4	no	—
916	C₂×Q₈	—	2	1	no	—
917	C₂×Q₈	—	292	4	no	—
918	C₂×Q₈	—	73	2	no	—
919	C₂×Q₈	—	73	1	no	—
920	C₂×Q₈	—	73	4	no	—
921	C₂×Q₈	—	73	1	no	—
922	C₂×Q₈	—	146	2	no	—
923	C₂×Q₈	—	146	1	no	—
924	C₂×Q₈	—	146	2	no	—
925	C₂×Q₈	—	146	4	no	—
926	C₂×Q₈	—	146	1	no	—
927	C₂×Q₈	D₄×D₇₃	1	1	yes	characteristic
928	C₂×Q₈	C₂³×D₇₃	1	1	yes	characteristic
929	C₂×D₄	—	2	2	no	—
930	C₂×D₄	—	2	1	no	—
931	C₂×D₄	—	2	2	no	—
932	C₂×D₄	—	2	1	no	—
933	C₂×D₄	—	292	4	no	—
934	C₂×D₄	—	292	8	no	—
935	C₂×D₄	—	584	4	no	—
936	C₂×D₄	—	584	2	no	—
937	C₂×D₄	—	73	1	no	—
938	C₂×D₄	—	73	2	no	—
939	C₂×D₄	—	146	2	no	—
940	C₂×D₄	—	146	4	no	—
941	C₂×D₄	—	146	4	no	—
942	C₂×D₄	—	146	2	no	—
943	C₂×D₄	—	146	2	no	—
944	C₂×D₄	—	146	1	no	—
945	C₂×D₄	—	146	2	no	—
946	C₂×D₄	—	146	2	no	—
947	C₂×D₄	—	146	2	no	—
948	C₂×D₄	—	146	2	no	—
949	C₂×D₄	—	146	2	no	—
950	C₂×D₄	—	146	2	no	—
951	C₂×D₄	—	146	2	no	—
952	C₂×D₄	—	146	1	no	—
953	C₂×D₄	—	146	2	no	—
954	C₂×D₄	—	146	1	no	—
955	C₂×D₄	C₂³×D₇₃	1	1	yes	characteristic
956	C₂×D₄	C₂³×D₇₃	1	2	yes	—
957	C₂²×C₄	—	2	2	no	—
958	C₂²×C₄	—	2	1	no	—
959	C₂²×C₄	—	292	4	no	—
960	C₂²×C₄	—	292	8	no	—
961	C₂²×C₄	—	73	1	no	—
962	C₂²×C₄	—	73	1	no	—
963	C₂²×C₄	—	73	2	no	—
964	C₂²×C₄	—	73	1	no	—
965	C₂²×C₄	—	73	2	no	—
966	C₂²×C₄	—	146	1	no	—
967	C₂²×C₄	—	146	2	no	—
968	C₂²×C₄	—	146	1	no	—
969	C₂²×C₄	—	146	2	no	—
970	C₂²×C₄	—	146	1	no	—
971	C₂²×C₄	—	146	1	no	—
972	C₂²×C₄	—	146	1	no	—
973	C₂²×C₄	—	146	2	no	—
974	C₂²×C₄	—	146	2	no	—
975	C₂²×C₄	—	146	1	no	—
976	SD₁₆	—	2	2	no	—
977	SD₁₆	—	2	4	no	—
978	SD₁₆	—	146	2	no	—
979	SD₁₆	—	146	4	no	—
980	SD₁₆	—	146	2	no	—
981	SD₁₆	—	146	4	no	—
982	SD₁₆	—	146	2	no	—
983	SD₁₆	—	146	4	no	—
984	C₂×C₈	—	73	1	no	—
985	C₂×C₈	—	73	1	no	—
986	C₂×C₈	—	73	2	no	—
987	C₂×C₈	—	146	2	no	—
988	C₂×C₈	—	146	2	no	—
989	C₂×C₈	—	146	4	no	—
990	C₂×C₈	C₂³×D₇₃	1	1	yes	characteristic
991	C₂×C₈	C₂³×D₇₃	1	1	yes	characteristic
992	C₂×C₈	C₂³×D₇₃	1	2	yes	—
993	C₄⋊C₄	—	2	2	no	—
994	C₄⋊C₄	—	2	1	no	—
995	C₄⋊C₄	—	2	2	no	—
996	C₄⋊C₄	—	2	1	no	—
997	C₄⋊C₄	—	2	2	no	—
998	C₄⋊C₄	—	73	2	no	—
999	C₄⋊C₄	—	73	2	no	—
1000	C₄⋊C₄	—	73	2	no	—
1001	C₄⋊C₄	—	73	1	no	—
1002	C₄⋊C₄	—	73	2	no	—
1003	C₄⋊C₄	—	73	1	no	—
1004	C₄⋊C₄	—	73	2	no	—
1005	C₄⋊C₄	—	73	1	no	—
1006	C₄⋊C₄	—	146	1	no	—
1007	C₄⋊C₄	—	146	1	no	—
1008	C₄⋊C₄	—	146	2	no	—
1009	C₄⋊C₄	—	146	1	no	—
1010	C₄⋊C₄	—	146	2	no	—
1011	C₄⋊C₄	—	146	2	no	—
1012	C₄⋊C₄	—	146	2	no	—
1013	C₄⋊C₄	—	146	2	no	—
1014	C₄⋊C₄	—	146	1	no	—
1015	C₄⋊C₄	—	146	2	no	—
1016	C₄⋊C₄	—	146	2	no	—
1017	C₄⋊C₄	—	146	2	no	—
1018	C₄⋊C₄	—	146	1	no	—
1019	C₄⋊C₄	—	146	2	no	—
1020	C₄⋊C₄	—	146	2	no	—
1021	C₄⋊C₄	—	146	2	no	—
1022	C₄⋊C₄	—	146	1	no	—
1023	C₄⋊C₄	D₄×D₇₃	1	1	yes	characteristic
1024	C₄⋊C₄	D₄×D₇₃	1	2	yes	—
1025	C₄⋊C₄	C₂³×D₇₃	1	1	yes	characteristic
1026	C₄⋊C₄	C₂³×D₇₃	1	2	yes	—
1027	C₄⋊C₄	C₂³×D₇₃	1	1	yes	characteristic
1028	C₂²⋊C₄	—	2	2	no	—
1029	C₂²⋊C₄	—	2	1	no	—
1030	C₂²⋊C₄	—	146	2	no	—
1031	C₂²⋊C₄	—	146	1	no	—
1032	C₂²⋊C₄	—	146	2	no	—
1033	C₂²⋊C₄	—	146	1	no	—
1034	C₂²⋊C₄	—	146	2	no	—
1035	C₂²⋊C₄	—	146	1	no	—
1036	C₄²	—	2	2	no	—
1037	C₄²	—	2	1	no	—
1038	C₄²	—	73	2	no	—
1039	C₄²	—	73	2	no	—
1040	C₄²	—	73	1	no	—
1041	C₄²	—	73	1	no	—
1042	C₄²	—	73	1	no	—
1043	C₄²	—	73	2	no	—
1044	C₄²	—	146	2	no	—
1045	C₄²	—	146	2	no	—
1046	C₄²	—	146	1	no	—
1047	C₄²	—	146	1	no	—
1048	C₄²	—	146	2	no	—
1049	C₄²	—	146	1	no	—
1050	C₄²	C₂³×D₇₃	1	1	yes	characteristic
1051	C₄²	C₂³×D₇₃	1	2	yes	—
1052	C₂³	—	2	2	no	—
1053	C₂³	—	2	1	no	—
1054	C₂³	—	292	2	no	—
1055	C₂³	—	292	4	no	—
1056	C₂³	—	292	2	no	—
1057	C₂³	—	292	4	no	—
1058	C₂³	—	292	2	no	—
1059	C₂³	—	292	4	no	—
1060	C₂³	—	73	1	no	—
1061	C₂³	—	146	2	no	—
1062	C₂³	—	146	1	no	—
1063	Q₈	—	2	1	no	—
1064	Q₈	—	2	2	no	—
1065	Q₈	—	4	2	no	—
1066	Q₈	—	292	4	no	—
1067	Q₈	—	292	2	no	—
1068	Q₈	—	73	2	no	—
1069	Q₈	—	146	4	no	—
1070	Q₈	—	146	4	no	—
1071	Q₈	—	146	1	no	—
1072	Q₈	—	146	2	no	—
1073	Q₈	#41×D₇₃	1	2	yes	complemented
1074	D₄	—	2	1	no	—
1075	D₄	—	2	2	no	—
1076	D₄	—	2	1	no	—
1077	D₄	—	2	2	no	—
1078	D₄	—	4	4	no	—
1079	D₄	—	4	2	no	—
1080	D₄	—	8	2	no	—
1081	D₄	—	8	1	no	—
1082	D₄	—	292	4	no	—
1083	D₄	—	292	4	no	—
1084	D₄	—	292	2	no	—
1085	D₄	—	292	4	no	—
1086	D₄	—	292	4	no	—
1087	D₄	—	292	4	no	—
1088	D₄	—	292	2	no	—
1089	D₄	—	584	2	no	—
1090	D₄	—	584	1	no	—
1091	D₄	—	584	2	no	—
1092	D₄	—	584	2	no	—
1093	D₄	—	584	2	no	—
1094	D₄	—	146	1	no	—
1095	D₄	—	146	2	no	—
1096	D₄	—	146	1	no	—
1097	D₄	—	146	2	no	—
1098	C₂×C₄	—	2	1	no	—
1099	C₂×C₄	—	2	1	no	—
1100	C₂×C₄	—	2	2	no	—
1101	C₂×C₄	—	2	1	no	—
1102	C₂×C₄	—	4	4	no	—
1103	C₂×C₄	—	4	2	no	—
1104	C₂×C₄	—	292	4	no	—
1105	C₂×C₄	—	292	2	no	—
1106	C₂×C₄	—	292	4	no	—
1107	C₂×C₄	—	292	2	no	—
1108	C₂×C₄	—	292	2	no	—
1109	C₂×C₄	—	292	4	no	—
1110	C₂×C₄	—	292	2	no	—
1111	C₂×C₄	—	292	4	no	—
1112	C₂×C₄	—	292	2	no	—
1113	C₂×C₄	—	73	1	no	—
1114	C₂×C₄	—	73	1	no	—
1115	C₂×C₄	—	73	2	no	—
1116	C₂×C₄	—	73	2	no	—
1117	C₂×C₄	—	73	4	no	—
1118	C₂×C₄	—	73	2	no	—
1119	C₂×C₄	—	73	1	no	—
1120	C₂×C₄	—	73	2	no	—
1121	C₂×C₄	—	146	4	no	—
1122	C₂×C₄	—	146	4	no	—
1123	C₂×C₄	—	146	2	no	—
1124	C₂×C₄	—	146	4	no	—
1125	C₂×C₄	—	146	1	no	—
1126	C₂×C₄	—	146	2	no	—
1127	C₂×C₄	—	146	1	no	—
1128	C₂×C₄	—	146	1	no	—
1129	C₂×C₄	C₂×D₄×D₇₃	1	2	yes	—
1130	C₂×C₄	C₂×D₄×D₇₃	1	1	yes	characteristic
1131	C₂×C₄	C₂×D₄×D₇₃	1	2	yes	—
1132	C₂×C₄	C₂×D₄×D₇₃	1	1	yes	characteristic
1133	C₂×C₄	C₂⁴×D₇₃	1	1	yes	characteristic
1134	C₈	—	2	1	no	—
1135	C₈	—	2	2	no	—
1136	C₈	—	2	1	no	—
1137	C₈	—	146	1	no	—
1138	C₈	—	146	2	no	—
1139	C₈	—	146	1	no	—
1140	C₂²	—	4	2	no	—
1141	C₂²	—	4	1	no	—
1142	C₂²	—	4	2	no	—
1143	C₂²	—	4	1	no	—
1144	C₂²	—	4	2	no	—
1145	C₂²	—	4	1	no	—
1146	C₂²	—	292	2	no	—
1147	C₂²	—	292	1	no	—
1148	C₂²	—	292	2	no	—
1149	C₂²	—	292	1	no	—
1150	C₂²	—	292	2	no	—
1151	C₂²	—	292	1	no	—
1152	C₂²	—	584	4	no	—
1153	C₂²	—	584	8	no	—
1154	C₂²	—	73	2	no	—
1155	C₂²	—	73	2	no	—
1156	C₂²	—	73	2	no	—
1157	C₂²	C₂²×D₄×D₇₃	1	1	yes	characteristic
1158	C₄	—	2	2	no	—
1159	C₄	—	2	2	no	—
1160	C₄	—	2	2	no	—
1161	C₄	—	2	1	no	—
1162	C₄	—	4	1	no	—
1163	C₄	—	4	2	no	—
1164	C₄	—	4	1	no	—
1165	C₄	—	292	1	no	—
1166	C₄	—	292	2	no	—
1167	C₄	—	292	1	no	—
1168	C₄	—	73	2	no	—
1169	C₄	—	73	2	no	—
1170	C₄	—	146	2	no	—
1171	C₄	—	146	2	no	—
1172	C₄	—	146	2	no	—
1173	C₄	—	146	1	no	—
1174	C₄	AGL(1,ℤ/8)×D₇₃	1	2	yes	—
1175	C₄	C₂×#41×D₇₃	1	1	yes	characteristic
1176	C₄	2₋¹⁺⁴×D₇₃	1	1	yes	characteristic
1177	C₂	—	8	2	no	—
1178	C₂	—	8	1	no	—
1179	C₂	—	584	2	no	—
1180	C₂	—	584	1	no	—
1181	C₂	—	73	4	no	—
1182	C₂	#548×D₇₃	1	1	yes	characteristic
1183	C₂	C₂×AGL(1,ℤ/8)×D₇₃	1	1	yes	characteristic
1184	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×#3368	C₂
socle	C₂²×C₇₃	C₂³×D₄
prime radical	#550×D₇₃	C₂
hypercenter	#3368	D₇₃
hypocenter	C₇₃	C₂×#3368
LCS	G ▷ C₂×C₄×C₇₃ ▷ C₂×C₇₃ ▷ C₇₃
UCS	C₁ ◁ C₂² ◁ C₄×Q₈ ◁ #3368

Complements

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

N	H ≅ G/N	type
1. #557×D₇₃	C₂	semidirect
3. #22622665	C₂	semidirect
4. #22622664	C₂	semidirect
5. #22622663	C₂	semidirect
6. #22622662	C₂	semidirect
7. #22622661	C₂	semidirect
8. #22622660	C₂	semidirect
9. #22622659	C₂	semidirect
10. #22622658	C₂	semidirect
11. #22622657	C₂	semidirect
12. #22622656	C₂	semidirect
13. #22622655	C₂	semidirect
14. #490×D₇₃	C₂	semidirect
15. #486×D₇₃	C₂	semidirect
16. #478×D₇₃	C₂	semidirect
17. #474×D₇₃	C₂	semidirect
18. #460×D₇₃	C₂	semidirect
19. #460×D₇₃	C₂	semidirect
20. #446×D₇₃	C₂	semidirect
21. #440×D₇₃	C₂	semidirect
22. C₄×SD₁₆×D₇₃	C₂	semidirect
23. C₇₃×#3368	C₂	semidirect
27. #17989316	C₂²	semidirect
29. #17989315	C₂²	semidirect
31. #17989314	C₂²	semidirect
32. #17989313	C₂²	semidirect
34. #17989312	C₂²	semidirect
57. #17988953	C₂²	semidirect
58. #17988952	C₂²	semidirect
59. #17988951	C₂²	semidirect
60. #17988950	C₂²	semidirect
61. #17988950	C₂²	semidirect
62. #17988950	C₂²	semidirect
63. #17988950	C₂²	semidirect
64. #17988935	C₂²	semidirect
65. #17988934	C₂²	semidirect
66. #17988933	C₂²	semidirect
67. #17988932	C₂²	semidirect
68. #17988932	C₂²	semidirect
69. #17988890	C₂²	semidirect
70. #17988889	C₂²	semidirect
71. #17988888	C₂²	semidirect
72. #17988887	C₂²	semidirect
73. #17988886	C₂²	semidirect
74. #17988885	C₂²	semidirect
75. #17988884	C₂²	semidirect
76. #17988868	C₂²	semidirect
77. #17988867	C₂²	semidirect
78. #17988866	C₂²	semidirect
79. #17988865	C₂²	semidirect
80. #17988864	C₂²	semidirect
81. #17988788	C₂²	semidirect
82. #17988788	C₂²	semidirect
83. #17988787	C₂²	semidirect
84. #17988787	C₂²	semidirect
85. #17988786	C₂²	semidirect
86. #17988786	C₂²	semidirect
87. #17988786	C₂²	semidirect
88. #17988785	C₂²	semidirect
89. #17988785	C₂²	semidirect
90. #17988785	C₂²	semidirect
91. #17988784	C₂²	semidirect
92. #17988784	C₂²	semidirect
93. #17988718	C₂²	semidirect
94. #17988717	C₂²	semidirect
95. #17988716	C₂²	semidirect
96. #17988715	C₂²	semidirect
97. #17988714	C₂²	semidirect
98. #17988690	C₂²	semidirect
99. #17988689	C₂²	semidirect
100. #17988688	C₂²	semidirect
101. #17988687	C₂²	semidirect
102. #17988686	C₂²	semidirect
103. #17988685	C₂²	semidirect
104. #17988684	C₂²	semidirect
105. #17988678	C₂²	semidirect
106. C₄×#11924017	C₂²	semidirect
107. SD₁₆×Dic₇₃	C₂²	semidirect
108. C₄×#11924015	C₂²	semidirect
109. #17988674	C₂²	semidirect
110. C₄×#11924016	C₂²	semidirect
111. #17988672	C₂²	semidirect
124. #557×C₇₃	C₂²	semidirect
126. #490×C₇₃	C₂²	semidirect
127. #486×C₇₃	C₂²	semidirect
128. #478×C₇₃	C₂²	semidirect
129. #474×C₇₃	C₂²	semidirect
130. #460×C₇₃	C₂²	semidirect
131. #460×C₇₃	C₂²	semidirect
132. #446×C₇₃	C₂²	semidirect
133. #440×C₇₃	C₂²	semidirect
134. C₄×SD₁₆×C₇₃	C₂²	semidirect
331. Q₈×D₇₃	#41	semidirect
473. Q₈×C₇₃	C₂×#41	semidirect
540. Dic₁₄₆	C₂×#41	semidirect
592. D₇₃	#3368	direct (N × H)
606. #3368	D₇₃	direct (N × H)
616. C₇₃	C₂×#3368	semidirect
628. #557	C₂×D₇₃	semidirect
659. #490	C₂×D₇₃	semidirect
665. #486	C₂×D₇₃	semidirect
673. #478	C₂×D₇₃	semidirect
679. #474	C₂×D₇₃	semidirect
692. #460	C₂×D₇₃	semidirect
693. #460	C₂×D₇₃	semidirect
699. #446	C₂×D₇₃	semidirect
707. #440	C₂×D₇₃	semidirect
715. C₄×SD₁₆	C₂×D₇₃	semidirect
1073. Q₈	#41×D₇₃	semidirect

Maximal subgroups

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

subgroup	index
#557×D₇₃	2
#550×D₇₃	2
#22622665	2
#22622664	2
#22622663	2
#22622662	2
#22622661	2
#22622660	2
#22622659	2
#22622658	2
#22622657	2
#22622656	2
#22622655	2
#490×D₇₃	2
#486×D₇₃	2
#478×D₇₃	2
#474×D₇₃	2
#460×D₇₃	2
#446×D₇₃	2
#440×D₇₃	2
C₄×SD₁₆×D₇₃	2
C₇₃×#3368	2
C₂×#3368	73

Subgroups — #3368×D73 #33965677

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — #3368×D₇₃ #33965677