Subgroups — #3400×D₇₃ #33966970

Order 18688.

1970 conjugacy classes of subgroups.

The subgroup lattice has 1160 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#559×D₇₃	C₂	1	1	yes	maximal, characteristic
2	#557×D₇₃	C₂	1	1	yes	maximal, characteristic, complemented
3	#22622989	C₂	1	1	yes	maximal, characteristic, complemented
4	#22622988	C₂	1	1	yes	maximal, characteristic, complemented
5	#22622987	C₂	1	2	yes	maximal, complemented
6	#22622986	C₂	1	1	yes	maximal, characteristic, complemented
7	#22622985	C₂	1	2	yes	maximal, complemented
8	#22622984	C₂	1	1	yes	maximal, characteristic, complemented
9	#22622983	C₂	1	1	yes	maximal, characteristic, complemented
10	#22622982	C₂	1	1	yes	maximal, characteristic, complemented
11	#22622981	C₂	1	2	yes	maximal, complemented
12	#22622980	C₂	1	1	yes	maximal, characteristic, complemented
13	#22622979	C₂	1	2	yes	maximal, complemented
14	#497×D₇₃	C₂	1	2	yes	maximal, complemented
15	#492×D₇₃	C₂	1	1	yes	maximal, characteristic
16	#464×D₇₃	C₂	1	2	yes	maximal, complemented
17	#462×D₇₃	C₂	1	1	yes	maximal, characteristic, complemented
18	#460×D₇₃	C₂	1	1	yes	maximal, characteristic
19	#461×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×Q₁₆×D₇₃	C₂	1	1	yes	maximal, characteristic, complemented
23	C₇₃×#3400	C₂	1	1	yes	maximal, characteristic, complemented
24	C₂×Q₁₆×D₇₃	C₂²	1	1	yes	characteristic
25	C₂×Q₁₆×D₇₃	C₂²	1	2	yes	—
26	C₂×SD₁₆×D₇₃	C₂²	1	2	yes	—
27	C₂×SD₁₆×D₇₃	C₂²	1	2	yes	—
28	C₂×SD₁₆×D₇₃	C₂²	1	2	yes	—
29	#17989323	C₂²	1	1	yes	characteristic
30	#17989322	C₂²	1	1	yes	characteristic
31	#17989322	C₂²	1	1	yes	characteristic
32	#17989321	—	2	2	no	—
33	#17989320	—	2	1	no	—
34	#17989320	C₂²	1	2	yes	—
35	#17989319	—	2	1	no	—
36	#17989319	C₂²	1	2	yes	—
37	#17989316	C₂²	1	1	yes	characteristic, complemented
38	#17989315	C₂²	1	1	yes	characteristic, complemented
39	#17989315	C₂²	1	2	yes	complemented
40	#17989314	—	2	1	no	—
41	#17989314	—	2	2	no	—
42	#17989313	—	2	1	no	—
43	#17989312	C₂²	1	2	yes	complemented
44	#17989312	C₂²	1	1	yes	characteristic, complemented
45	C₄⋊Q₈×D₇₃	C₂²	1	1	yes	characteristic
46	C₄⋊Q₈×D₇₃	C₂²	1	2	yes	—
47	#127×D₇₃	C₂²	1	1	yes	characteristic
48	#125×D₇₃	—	2	1	no	—
49	#125×D₇₃	—	2	2	no	—
50	#124×D₇₃	—	2	1	no	—
51	#124×D₇₃	C₂²	1	2	yes	—
52	#123×D₇₃	—	2	2	no	—
53	C₄×Q₈×D₇₃	—	2	1	no	—
54	C₄×Q₈×D₇₃	C₂²	1	1	yes	characteristic
55	C₄×Q₈×D₇₃	C₂²	1	2	yes	—
56	C₄×Q₈×D₇₃	C₂²	1	1	yes	characteristic
57	C₄×Q₈×D₇₃	C₂²	1	1	yes	characteristic
58	C₄×D₄×D₇₃	—	2	1	no	—
59	C₄×D₄×D₇₃	C₂²	1	2	yes	—
60	#17988982	C₂²	1	2	yes	complemented
61	#17988981	C₂²	1	2	yes	complemented
62	#17988980	C₂²	1	2	yes	complemented
63	#17988980	C₂²	1	2	yes	complemented
64	#17988979	C₂²	1	2	yes	complemented
65	#17988978	C₂²	1	2	yes	complemented
66	#17988978	C₂²	1	2	yes	complemented
67	#17988961	C₂²	1	1	yes	characteristic
68	#17988960	C₂²	1	1	yes	characteristic
69	#17988959	C₂²	1	1	yes	characteristic
70	#17988958	C₂²	1	2	yes	—
71	#17988958	C₂²	1	2	yes	—
72	#17988812	C₂²	1	2	yes	complemented
73	#17988811	C₂²	1	2	yes	complemented
74	#17988810	C₂²	1	2	yes	complemented
75	#17988809	C₂²	1	2	yes	complemented
76	#17988808	C₂²	1	2	yes	complemented
77	#17988807	C₂²	1	2	yes	complemented
78	#17988806	C₂²	1	2	yes	complemented
79	#17988798	C₂²	1	1	yes	characteristic, complemented
80	#17988797	C₂²	1	1	yes	characteristic, complemented
81	#17988796	C₂²	1	2	yes	complemented
82	#17988795	C₂²	1	2	yes	complemented
83	#17988794	C₂²	1	1	yes	characteristic, complemented
84	#17988793	C₂²	1	2	yes	complemented
85	#17988792	C₂²	1	2	yes	complemented
86	#17988791	C₂²	1	2	yes	complemented
87	#17988791	C₂²	1	2	yes	complemented
88	#17988790	C₂²	1	2	yes	complemented
89	#17988790	C₂²	1	2	yes	complemented
90	#17988789	C₂²	1	2	yes	complemented
91	#17988788	C₂²	1	1	yes	characteristic
92	#17988787	C₂²	1	1	yes	characteristic
93	#17988786	C₂²	1	2	yes	—
94	#17988785	C₂²	1	2	yes	—
95	#17988784	C₂²	1	1	yes	characteristic
96	#17988718	C₂²	1	1	yes	characteristic, complemented
97	#17988717	C₂²	1	1	yes	characteristic, complemented
98	#17988716	C₂²	1	2	yes	complemented
99	#17988715	C₂²	1	2	yes	complemented
100	#17988714	C₂²	1	1	yes	characteristic, complemented
101	#17988690	C₂²	1	2	yes	complemented
102	#17988689	C₂²	1	2	yes	complemented
103	#17988688	C₂²	1	2	yes	complemented
104	#17988687	C₂²	1	2	yes	complemented
105	#17988686	C₂²	1	2	yes	complemented
106	#17988685	C₂²	1	2	yes	complemented
107	#17988684	C₂²	1	2	yes	complemented
108	C₄×Dic₂₉₂	C₂²	1	1	yes	characteristic, complemented
109	Q₁₆×Dic₇₃	C₂²	1	1	yes	characteristic, complemented
110	#17988681	C₂²	1	1	yes	characteristic, complemented
111	C₄×#11924018	C₂²	1	1	yes	characteristic, complemented
112	C₄×#11924018	C₂²	1	1	yes	characteristic, complemented
113	#17988679	C₂²	1	1	yes	characteristic, complemented
114	#17988679	C₂²	1	1	yes	characteristic, complemented
115	#107×D₇₃	C₂²	1	1	yes	characteristic
116	C₄⋊C₈×D₇₃	C₂²	1	2	yes	—
117	C₄⋊C₈×D₇₃	C₂²	1	1	yes	characteristic
118	#103×D₇₃	C₂²	1	1	yes	characteristic
119	#103×D₇₃	C₂²	1	1	yes	characteristic
120	#103×D₇₃	C₂²	1	2	yes	—
121	#102×D₇₃	C₂²	1	2	yes	—
122	#97×D₇₃	C₂²	1	2	yes	—
123	C₄×C₈×D₇₃	C₂²	1	1	yes	characteristic
124	#559×C₇₃	C₂²	1	1	yes	characteristic
125	#557×C₇₃	C₂²	1	1	yes	characteristic, complemented
126	#497×C₇₃	C₂²	1	2	yes	complemented
127	#492×C₇₃	C₂²	1	1	yes	characteristic
128	#464×C₇₃	C₂²	1	2	yes	complemented
129	#462×C₇₃	C₂²	1	1	yes	characteristic, complemented
130	#461×C₇₃	C₂²	1	2	yes	complemented
131	#460×C₇₃	C₂²	1	1	yes	characteristic
132	#446×C₇₃	C₂²	1	1	yes	characteristic, complemented
133	#440×C₇₃	C₂²	1	2	yes	complemented
134	C₄×Q₁₆×C₇₃	C₂²	1	1	yes	characteristic, complemented
135	C₂×Q₈×D₇₃	D₄	1	1	yes	characteristic
136	C₂×Q₈×D₇₃	C₂³	1	2	yes	—
137	C₂×Q₈×D₇₃	C₂³	1	1	yes	characteristic
138	C₂×Q₈×D₇₃	C₂³	1	1	yes	characteristic
139	C₂×D₄×D₇₃	—	2	1	no	—
140	C₂×D₄×D₇₃	—	2	1	no	—
141	C₂×D₄×D₇₃	C₂³	1	2	yes	—
142	C₂²×C₄×D₇₃	—	2	2	no	—
143	C₂×Dic₂₉₂	C₂³	1	1	yes	characteristic
144	C₂×Dic₂₉₂	C₂³	1	2	yes	—
145	C₂×#11924018	C₂³	1	1	yes	characteristic
146	C₂×#11924018	C₂³	1	1	yes	characteristic
147	C₂×#11924018	C₂³	1	2	yes	—
148	C₂×#11924018	C₂³	1	2	yes	—
149	Q₁₆×D₇₃	—	2	4	no	—
150	Q₁₆×D₇₃	—	4	4	no	—
151	C₂×#11924017	C₂³	1	2	yes	—
152	C₂×#11924017	C₂³	1	2	yes	—
153	C₂×#11924017	C₂³	1	2	yes	—
154	C₂×#11924016	C₂³	1	2	yes	—
155	C₂×#11924016	C₂³	1	2	yes	—
156	C₂×#11924016	C₂³	1	2	yes	—
157	C₂×#11924015	C₂³	1	2	yes	—
158	C₂×#11924015	C₂³	1	2	yes	—
159	C₂×#11924015	C₂³	1	2	yes	—
160	SD₁₆×D₇₃	—	2	8	no	—
161	SD₁₆×D₇₃	—	4	4	no	—
162	SD₁₆×D₇₃	—	4	4	no	—
163	C₂×C₈×D₇₃	C₂³	1	1	yes	characteristic
164	C₂×C₈×D₇₃	C₂³	1	2	yes	—
165	C₂×C₈×D₇₃	C₂³	1	1	yes	characteristic
166	#14556591	C₂³	1	1	yes	characteristic
167	#14556591	C₂³	1	2	yes	—
168	#14556590	—	2	2	no	—
169	#14556590	—	2	1	no	—
170	#14556590	—	2	2	no	—
171	#14556590	—	2	1	no	—
172	#14556589	C₂³	1	2	yes	—
173	#14556589	C₂³	1	2	yes	—
174	#14556589	C₂³	1	2	yes	—
175	#14556588	C₂³	1	1	yes	characteristic
176	#14556587	—	2	1	no	—
177	#14556587	—	2	1	no	—
178	#14556587	C₂³	1	2	yes	—
179	#14556583	—	2	1	no	—
180	#14556583	—	2	2	no	—
181	#14556582	—	2	1	no	—
182	#14556582	—	2	2	no	—
183	#14556582	—	2	1	no	—
184	#14556582	—	2	2	no	—
185	#14556581	—	2	2	no	—
186	#14556581	—	2	2	no	—
187	#14556581	—	2	2	no	—
188	#14556581	—	2	2	no	—
189	#14556581	—	2	2	no	—
190	#14556581	—	2	2	no	—
191	#14556580	—	2	1	no	—
192	#14556580	C₂³	1	2	yes	—
193	#14556579	—	2	1	no	—
194	#14556579	C₂³	1	2	yes	—
195	#14556578	—	2	1	no	—
196	#14556578	C₂³	1	2	yes	—
197	#14556577	—	2	2	no	—
198	#14556577	—	2	2	no	—
199	#14556577	—	2	2	no	—
200	#14556577	—	2	2	no	—
201	#14556576	—	2	2	no	—
202	#14556576	—	2	2	no	—
203	#14556575	—	2	2	no	—
204	#14556574	—	2	2	no	—
205	#14556573	—	2	2	no	—
206	#14556573	—	2	2	no	—
207	#14556572	—	2	2	no	—
208	Q₈×Dic₇₃	—	2	1	no	—
209	Q₈×Dic₇₃	D₄	1	1	yes	characteristic
210	Q₈×Dic₇₃	C₂³	1	1	yes	characteristic
211	Q₈×Dic₇₃	C₂³	1	1	yes	characteristic
212	Q₈×Dic₇₃	C₂³	1	2	yes	—
213	C₄×Dic₁₄₆	—	2	2	no	—
214	C₄×Dic₁₄₆	—	2	1	no	—
215	C₄×Dic₁₄₆	—	2	2	no	—
216	C₄×Dic₁₄₆	—	2	1	no	—
217	C₄×Dic₁₄₆	—	2	1	no	—
218	C₄×Dic₁₄₆	C₂³	1	1	yes	characteristic
219	C₄×Dic₁₄₆	C₂³	1	1	yes	characteristic
220	C₄×Dic₁₄₆	C₂³	1	2	yes	—
221	C₄×Dic₁₄₆	C₂³	1	1	yes	characteristic
222	C₄×Dic₁₄₆	C₂³	1	2	yes	—
223	#14556556	—	2	2	no	—
224	#14556556	—	2	1	no	—
225	#14556556	—	2	2	no	—
226	#14556556	—	2	1	no	—
227	#14556556	—	2	1	no	—
228	#14556556	D₄	1	1	yes	characteristic
229	#14556556	D₄	1	2	yes	—
230	#14556556	C₂³	1	1	yes	characteristic
231	#14556556	C₂³	1	1	yes	characteristic
232	#14556556	C₂³	1	2	yes	—
233	C₄×D₂₉₂	—	2	1	no	—
234	C₄×D₂₉₂	C₂³	1	2	yes	—
235	D₄×Dic₇₃	—	2	1	no	—
236	D₄×Dic₇₃	C₂³	1	2	yes	—
237	#14556553	—	2	1	no	—
238	#14556553	C₂³	1	2	yes	—
239	C₄×C₂²⋊D₇₃	—	2	2	no	—
240	C₄×C₂²⋊D₇₃	—	2	2	no	—
241	#14556551	—	2	2	no	—
242	#14556551	—	2	2	no	—
243	C₄⋊C₄×D₇₃	—	2	2	no	—
244	C₄⋊C₄×D₇₃	—	2	1	no	—
245	C₄⋊C₄×D₇₃	—	2	2	no	—
246	C₄⋊C₄×D₇₃	—	2	1	no	—
247	C₄⋊C₄×D₇₃	—	2	1	no	—
248	C₄⋊C₄×D₇₃	—	2	2	no	—
249	C₄⋊C₄×D₇₃	—	2	1	no	—
250	C₄⋊C₄×D₇₃	D₄	1	1	yes	characteristic
251	C₄⋊C₄×D₇₃	D₄	1	2	yes	—
252	C₄⋊C₄×D₇₃	C₂³	1	1	yes	characteristic
253	C₄⋊C₄×D₇₃	C₂³	1	1	yes	characteristic
254	C₂²⋊C₄×D₇₃	—	2	2	no	—
255	C₂²⋊C₄×D₇₃	—	2	2	no	—
256	C₂²⋊C₄×D₇₃	—	2	2	no	—
257	C₄²×D₇₃	—	2	1	no	—
258	C₄²×D₇₃	—	2	2	no	—
259	C₄²×D₇₃	—	2	1	no	—
260	C₄²×D₇₃	C₂³	1	1	yes	characteristic
261	C₄²×D₇₃	C₂³	1	2	yes	—
262	#14556525	C₂³	1	1	yes	characteristic
263	#14556524	C₂³	1	1	yes	characteristic
264	#14556524	C₂³	1	1	yes	characteristic
265	C₄⋊#10596831	C₂³	1	2	yes	—
266	C₄⋊#10596831	C₂³	1	1	yes	characteristic
267	#14556520	C₂³	1	2	yes	—
268	#14556520	C₂³	1	2	yes	—
269	#14556520	C₂³	1	2	yes	—
270	#14556516	C₂³	1	1	yes	characteristic
271	#14556516	C₂³	1	1	yes	characteristic
272	#14556516	C₂³	1	2	yes	—
273	#14556515	C₂³	1	1	yes	characteristic
274	#14556515	C₂³	1	1	yes	characteristic
275	#14556515	C₂³	1	2	yes	—
276	#14556514	C₂³	1	1	yes	characteristic
277	#14556514	C₂³	1	1	yes	characteristic
278	#14556514	C₂³	1	2	yes	—
279	#14556513	C₂³	1	2	yes	—
280	#14556512	C₂³	1	2	yes	—
281	#14556511	C₂³	1	2	yes	—
282	#14556502	C₂³	1	2	yes	—
283	#14556501	C₂³	1	2	yes	—
284	#14556501	C₂³	1	2	yes	—
285	C₄×#10596831	C₂³	1	1	yes	characteristic
286	C₈×Dic₇₃	C₂³	1	1	yes	characteristic
287	C₈×Dic₇₃	C₂³	1	1	yes	characteristic
288	C₂×Q₁₆×C₇₃	C₂³	1	1	yes	characteristic
289	C₂×Q₁₆×C₇₃	C₂³	1	2	yes	—
290	C₂×SD₁₆×C₇₃	C₂³	1	2	yes	—
291	C₂×SD₁₆×C₇₃	C₂³	1	2	yes	—
292	C₂×SD₁₆×C₇₃	C₂³	1	2	yes	—
293	C₄⋊Q₈×C₇₃	C₂³	1	2	yes	—
294	C₄⋊Q₈×C₇₃	C₂³	1	1	yes	characteristic
295	#127×C₇₃	C₂³	1	1	yes	characteristic
296	#125×C₇₃	—	2	1	no	—
297	#125×C₇₃	—	2	2	no	—
298	#124×C₇₃	—	2	1	no	—
299	#124×C₇₃	C₂³	1	2	yes	—
300	#123×C₇₃	—	2	2	no	—
301	C₄×Q₈×C₇₃	—	2	1	no	—
302	C₄×Q₈×C₇₃	C₂³	1	1	yes	characteristic
303	C₄×Q₈×C₇₃	C₂³	1	1	yes	characteristic
304	C₄×Q₈×C₇₃	C₂³	1	2	yes	—
305	C₄×Q₈×C₇₃	C₂³	1	1	yes	characteristic
306	C₄×D₄×C₇₃	—	2	1	no	—
307	C₄×D₄×C₇₃	C₂³	1	2	yes	—
308	#107×C₇₃	C₂³	1	1	yes	characteristic
309	C₄⋊C₈×C₇₃	C₂³	1	1	yes	characteristic
310	C₄⋊C₈×C₇₃	C₂³	1	2	yes	—
311	#103×C₇₃	C₂³	1	1	yes	characteristic
312	#103×C₇₃	C₂³	1	1	yes	characteristic
313	#103×C₇₃	C₂³	1	2	yes	—
314	#102×C₇₃	C₂³	1	2	yes	—
315	#97×C₇₃	C₂³	1	2	yes	—
316	C₄×C₈×C₇₃	C₂³	1	1	yes	characteristic
317	C₂³×D₇₃	—	2	2	no	—
318	C₂×Dic₁₄₆	—	2	1	no	—
319	C₂×Dic₁₄₆	—	2	2	no	—
320	C₂×Dic₁₄₆	—	2	1	no	—
321	C₂×Dic₁₄₆	C₂×D₄	1	2	yes	—
322	C₂×Dic₁₄₆	C₂×D₄	1	1	yes	characteristic
323	C₂×Dic₁₄₆	C₂⁴	1	1	yes	characteristic
324	C₂×Dic₁₄₆	C₂⁴	1	2	yes	—
325	C₂×Dic₁₄₆	C₂⁴	1	1	yes	characteristic
326	Q₈×D₇₃	—	2	4	no	—
327	Q₈×D₇₃	—	2	4	no	—
328	Q₈×D₇₃	—	2	2	no	—
329	Q₈×D₇₃	—	2	2	no	—
330	Q₈×D₇₃	—	2	2	no	—
331	Q₈×D₇₃	—	2	4	no	—
332	Q₈×D₇₃	—	2	2	no	—
333	C₂×D₂₉₂	—	2	1	no	—
334	C₂×D₂₉₂	—	2	1	no	—
335	C₂×D₂₉₂	C₂⁴	1	2	yes	—
336	C₂×C₂²⋊D₇₃	—	2	2	no	—
337	C₂×C₂²⋊D₇₃	—	2	2	no	—
338	C₂×C₂²⋊D₇₃	—	2	2	no	—
339	D₄×D₇₃	—	2	4	no	—
340	D₄×D₇₃	—	2	4	no	—
341	D₄×D₇₃	—	4	4	no	—
342	D₄×D₇₃	—	8	2	no	—
343	C₂²×Dic₇₃	—	2	2	no	—
344	C₂×C₄×D₇₃	—	2	1	no	—
345	C₂×C₄×D₇₃	—	2	1	no	—
346	C₂×C₄×D₇₃	—	2	1	no	—
347	C₂×C₄×D₇₃	—	2	2	no	—
348	C₂×C₄×D₇₃	—	2	1	no	—
349	C₂×C₄×D₇₃	—	2	2	no	—
350	C₂×C₄×D₇₃	—	2	2	no	—
351	C₂×C₄×D₇₃	—	8	4	no	—
352	C₂×C₄×D₇₃	C₂×D₄	1	2	yes	—
353	C₂×C₄×D₇₃	C₂×D₄	1	2	yes	—
354	C₂×C₄×D₇₃	C₂×D₄	1	1	yes	characteristic
355	C₂×C₄×D₇₃	C₂×D₄	1	1	yes	characteristic
356	C₂×C₄×D₇₃	C₂⁴	1	1	yes	characteristic
357	Dic₂₉₂	—	2	2	no	—
358	Dic₂₉₂	—	4	2	no	—
359	#11924018	—	2	2	no	—
360	#11924018	—	2	2	no	—
361	#11924018	—	4	2	no	—
362	#11924018	—	4	2	no	—
363	#11924017	—	2	4	no	—
364	#11924017	—	4	2	no	—
365	#11924017	—	4	2	no	—
366	#11924016	—	2	4	no	—
367	#11924016	—	4	2	no	—
368	#11924016	—	4	2	no	—
369	#11924015	—	2	4	no	—
370	#11924015	—	4	2	no	—
371	#11924015	—	4	2	no	—
372	C₂×#10596831	C₂⁴	1	1	yes	characteristic
373	C₂×#10596831	C₂⁴	1	2	yes	—
374	C₂×#10596831	C₂⁴	1	1	yes	characteristic
375	C₈×D₇₃	—	2	2	no	—
376	C₈×D₇₃	—	2	4	no	—
377	C₈×D₇₃	#41	1	4	yes	—
378	C₄⋊Dic₇₃	—	2	2	no	—
379	C₄⋊Dic₇₃	—	2	1	no	—
380	C₄⋊Dic₇₃	—	2	2	no	—
381	C₄⋊Dic₇₃	—	2	1	no	—
382	C₄⋊Dic₇₃	—	2	1	no	—
383	C₄⋊Dic₇₃	—	2	2	no	—
384	C₄⋊Dic₇₃	—	2	1	no	—
385	C₄⋊Dic₇₃	C₂×D₄	1	1	yes	characteristic
386	C₄⋊Dic₇₃	C₂×D₄	1	2	yes	—
387	C₄⋊Dic₇₃	C₂⁴	1	1	yes	characteristic
388	C₄⋊Dic₇₃	C₂⁴	1	1	yes	characteristic
389	#11924007	—	2	1	no	—
390	#11924007	—	2	2	no	—
391	#11924007	—	2	1	no	—
392	#11924007	—	2	2	no	—
393	#11924007	—	2	2	no	—
394	#11924007	—	2	2	no	—
395	#11924007	—	2	1	no	—
396	#11924007	—	2	2	no	—
397	#11924007	—	2	1	no	—
398	#11924007	—	2	2	no	—
399	#11924007	—	2	2	no	—
400	#11924007	—	2	2	no	—
401	#11924007	—	2	1	no	—
402	#11924007	—	2	1	no	—
403	#11924007	C₂×D₄	1	2	yes	—
404	#11924007	C₂×D₄	1	2	yes	—
405	#11924007	C₂×D₄	1	2	yes	—
406	C₂²⋊Dic₇₃	—	2	2	no	—
407	C₂²⋊Dic₇₃	—	2	2	no	—
408	C₂²⋊Dic₇₃	—	2	2	no	—
409	#11924005	—	2	2	no	—
410	#11924005	—	2	2	no	—
411	#11924005	—	2	2	no	—
412	#11924005	—	2	2	no	—
413	#11924005	—	2	2	no	—
414	#11924005	—	2	2	no	—
415	C₄×Dic₇₃	—	2	1	no	—
416	C₄×Dic₇₃	—	2	2	no	—
417	C₄×Dic₇₃	—	2	1	no	—
418	C₄×Dic₇₃	—	2	1	no	—
419	C₄×Dic₇₃	—	2	1	no	—
420	C₄×Dic₇₃	—	2	2	no	—
421	C₄×Dic₇₃	—	2	1	no	—
422	C₄×Dic₇₃	—	2	2	no	—
423	C₄×Dic₇₃	—	2	1	no	—
424	C₄×Dic₇₃	C₂×D₄	1	2	yes	—
425	C₄×Dic₇₃	C₂×D₄	1	2	yes	—
426	C₄×Dic₇₃	C₂×D₄	1	1	yes	characteristic
427	C₄×Dic₇₃	C₂×D₄	1	1	yes	characteristic
428	C₄×Dic₇₃	C₂⁴	1	1	yes	characteristic
429	C₄×Dic₇₃	C₂⁴	1	2	yes	—
430	C₂×Q₈×C₇₃	C₂×D₄	1	1	yes	characteristic
431	C₂×Q₈×C₇₃	C₂⁴	1	1	yes	characteristic
432	C₂×Q₈×C₇₃	C₂⁴	1	2	yes	—
433	C₂×Q₈×C₇₃	C₂⁴	1	1	yes	characteristic
434	C₂×D₄×C₇₃	—	2	1	no	—
435	C₂×D₄×C₇₃	—	2	1	no	—
436	C₂×D₄×C₇₃	C₂⁴	1	2	yes	—
437	C₂²×C₄×C₇₃	—	2	2	no	—
438	Q₁₆×C₇₃	—	2	2	no	—
439	Q₁₆×C₇₃	—	4	2	no	—
440	SD₁₆×C₇₃	—	2	4	no	—
441	SD₁₆×C₇₃	—	4	2	no	—
442	SD₁₆×C₇₃	—	4	2	no	—
443	C₂×C₈×C₇₃	C₂⁴	1	1	yes	characteristic
444	C₂×C₈×C₇₃	C₂⁴	1	2	yes	—
445	C₂×C₈×C₇₃	C₂⁴	1	1	yes	characteristic
446	C₄⋊C₄×C₇₃	—	2	2	no	—
447	C₄⋊C₄×C₇₃	—	2	1	no	—
448	C₄⋊C₄×C₇₃	—	2	1	no	—
449	C₄⋊C₄×C₇₃	—	2	2	no	—
450	C₄⋊C₄×C₇₃	—	2	1	no	—
451	C₄⋊C₄×C₇₃	—	2	2	no	—
452	C₄⋊C₄×C₇₃	—	2	1	no	—
453	C₄⋊C₄×C₇₃	C₂×D₄	1	1	yes	characteristic
454	C₄⋊C₄×C₇₃	C₂×D₄	1	2	yes	—
455	C₄⋊C₄×C₇₃	C₂⁴	1	1	yes	characteristic
456	C₄⋊C₄×C₇₃	C₂⁴	1	1	yes	characteristic
457	C₂²⋊C₄×C₇₃	—	2	2	no	—
458	C₂²⋊C₄×C₇₃	—	2	2	no	—
459	C₂²⋊C₄×C₇₃	—	2	2	no	—
460	C₄²×C₇₃	—	2	1	no	—
461	C₄²×C₇₃	—	2	2	no	—
462	C₄²×C₇₃	—	2	1	no	—
463	C₄²×C₇₃	C₂⁴	1	1	yes	characteristic
464	C₄²×C₇₃	C₂⁴	1	2	yes	—
465	C₂³×C₇₃	—	2	2	no	—
466	C₂²×D₇₃	—	2	2	no	—
467	C₂²×D₇₃	—	4	4	no	—
468	C₂²×D₇₃	—	4	4	no	—
469	C₂²×D₇₃	—	4	4	no	—
470	C₂²×D₇₃	C₂²×D₄	1	1	yes	characteristic
471	Q₈×C₇₃	—	2	2	no	—
472	Q₈×C₇₃	—	2	2	no	—
473	Q₈×C₇₃	—	2	1	no	—
474	Q₈×C₇₃	—	2	1	no	—
475	Q₈×C₇₃	—	2	1	no	—
476	Q₈×C₇₃	—	2	2	no	—
477	Q₈×C₇₃	—	2	1	no	—
478	D₄×C₇₃	—	2	2	no	—
479	D₄×C₇₃	—	2	2	no	—
480	D₄×C₇₃	—	4	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	1	no	—
485	C₂×C₄×C₇₃	—	2	2	no	—
486	C₂×C₄×C₇₃	—	2	1	no	—
487	C₂×C₄×C₇₃	—	8	2	no	—
488	C₂×C₄×C₇₃	C₂²×D₄	1	2	yes	—
489	C₂×C₄×C₇₃	C₂²×D₄	1	2	yes	—
490	C₂×C₄×C₇₃	C₂²×D₄	1	1	yes	characteristic
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	—	8	2	no	—
496	C₂×Dic₇₃	—	2	1	no	—
497	C₂×Dic₇₃	—	2	1	no	—
498	C₂×Dic₇₃	—	2	1	no	—
499	C₂×Dic₇₃	—	2	2	no	—
500	C₂×Dic₇₃	—	2	1	no	—
501	C₂×Dic₇₃	—	8	2	no	—
502	C₂×Dic₇₃	C₂²×D₄	1	2	yes	—
503	C₂×Dic₇₃	C₂²×D₄	1	2	yes	—
504	C₂×Dic₇₃	C₂²×D₄	1	1	yes	characteristic
505	C₂×Dic₇₃	C₂²×D₄	1	1	yes	characteristic
506	C₂×Dic₇₃	C₂²×D₄	1	1	yes	characteristic
507	D₂₉₂	—	2	2	no	—
508	D₂₉₂	—	2	2	no	—
509	D₂₉₂	—	4	2	no	—
510	D₂₉₂	—	8	1	no	—
511	C₄×D₇₃	—	2	4	no	—
512	C₄×D₇₃	—	2	4	no	—
513	C₄×D₇₃	—	2	2	no	—
514	C₄×D₇₃	—	4	2	no	—
515	C₄×D₇₃	—	4	4	no	—
516	C₄×D₇₃	—	4	2	no	—
517	C₄×D₇₃	—	4	2	no	—
518	C₄×D₇₃	—	4	2	no	—
519	C₄×D₇₃	—	8	2	no	—
520	C₄×D₇₃	—	8	2	no	—
521	C₄×D₇₃	#137	1	4	yes	—
522	C₄×D₇₃	C₂×#41	1	2	yes	—
523	C₄×D₇₃	H(5,𝔽₂)	1	2	yes	—
524	Dic₁₄₆	—	2	2	no	—
525	Dic₁₄₆	—	2	4	no	—
526	Dic₁₄₆	—	2	2	no	—
527	Dic₁₄₆	—	2	1	no	—
528	Dic₁₄₆	—	2	1	no	—
529	Dic₁₄₆	—	2	1	no	—
530	Dic₁₄₆	—	2	2	no	—
531	Dic₁₄₆	—	2	1	no	—
532	Dic₁₄₆	—	4	4	no	—
533	Dic₁₄₆	—	4	2	no	—
534	Dic₁₄₆	—	4	2	no	—
535	C₈×C₇₃	—	2	1	no	—
536	C₈×C₇₃	—	2	2	no	—
537	C₈×C₇₃	C₂×#41	1	2	yes	—
538	#10596831	—	2	1	no	—
539	#10596831	—	2	2	no	—
540	#10596831	C₂×#41	1	2	yes	—
541	C₂²×C₇₃	—	4	2	no	—
542	C₂²×C₇₃	—	4	2	no	—
543	C₂²×C₇₃	—	4	2	no	—
544	C₂²×C₇₃	C₂³×D₄	1	1	yes	characteristic
545	C₂×D₇₃	—	4	2	no	—
546	C₂×D₇₃	—	4	2	no	—
547	C₂×D₇₃	—	4	2	no	—
548	C₂×D₇₃	—	8	8	no	—
549	C₂×D₇₃	#550	1	2	yes	—
550	C₂×D₇₃	C₂×#137	1	2	yes	—
551	C₂×D₇₃	#577	1	2	yes	—
552	C₄×C₇₃	—	2	2	no	—
553	C₄×C₇₃	—	2	2	no	—
554	C₄×C₇₃	—	2	1	no	—
555	C₄×C₇₃	—	4	1	no	—
556	C₄×C₇₃	—	4	2	no	—
557	C₄×C₇₃	—	4	1	no	—
558	C₄×C₇₃	—	4	1	no	—
559	C₄×C₇₃	—	4	1	no	—
560	C₄×C₇₃	C₂×#137	1	2	yes	—
561	C₄×C₇₃	C₂²×#41	1	1	yes	characteristic
562	C₄×C₇₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
563	Dic₇₃	—	2	2	no	—
564	Dic₇₃	—	2	2	no	—
565	Dic₇₃	—	2	1	no	—
566	Dic₇₃	—	4	2	no	—
567	Dic₇₃	—	4	1	no	—
568	Dic₇₃	—	4	1	no	—
569	Dic₇₃	—	4	1	no	—
570	Dic₇₃	—	4	1	no	—
571	Dic₇₃	#550	1	2	yes	—
572	Dic₇₃	C₂×#137	1	2	yes	—
573	C₂×#3400	—	73	1	no	maximal, Sylow
574	C₂×C₇₃	—	8	2	no	—
575	C₂×C₇₃	C₂×#550	1	1	yes	characteristic
576	C₂×C₇₃	C₂²×#137	1	1	yes	characteristic
577	C₂×C₇₃	C₂×#577	1	1	yes	characteristic
578	D₇₃	—	8	2	no	—
579	D₇₃	#3400	1	4	yes	direct product factor
580	C₂×#559	—	73	1	no	—
581	C₂×#557	—	73	1	no	—
582	#3400	—	73	2	no	—
583	#3400	—	73	1	no	—
584	#3400	—	73	2	no	—
585	#3400	—	73	1	no	—
586	#3400	—	73	2	no	—
587	#3400	—	73	1	no	—
588	#3400	—	73	1	no	—
589	#3400	—	73	2	no	—
590	#3400	—	73	1	no	—
591	#3400	—	73	1	no	—
592	#3400	—	73	1	no	—
593	#3400	D₇₃	1	1	yes	characteristic, direct product factor
594	C₂×#497	—	73	2	no	—
595	C₂×#492	—	73	1	no	—
596	C₂×#464	—	73	2	no	—
597	C₂×#462	—	73	1	no	—
598	C₂×#460	—	73	1	no	—
599	C₂×#461	—	73	2	no	—
600	C₂×#446	—	73	1	no	—
601	C₂×#440	—	73	2	no	—
602	C₂×C₄×Q₁₆	—	73	1	no	—
603	C₇₃	C₂×#3400	1	1	yes	characteristic, complemented, Sylow
604	C₂²×Q₁₆	—	73	2	no	—
605	C₂²×Q₁₆	—	73	1	no	—
606	C₂²×SD₁₆	—	73	2	no	—
607	C₂²×SD₁₆	—	73	2	no	—
608	C₂²×SD₁₆	—	73	2	no	—
609	#559	—	73	1	no	—
610	#559	—	73	2	no	—
611	#559	—	73	1	no	—
612	#559	—	73	1	no	—
613	#559	—	73	2	no	—
614	#559	—	146	1	no	—
615	#559	—	146	2	no	—
616	#559	—	146	1	no	—
617	#559	C₂×D₇₃	1	1	yes	characteristic
618	#557	—	73	2	no	—
619	#557	—	73	1	no	—
620	#557	—	73	2	no	—
621	#557	—	73	1	no	—
622	#557	—	73	1	no	—
623	#557	—	146	1	no	—
624	#557	—	146	2	no	—
625	#557	—	146	1	no	—
626	#557	C₂×D₇₃	1	1	yes	characteristic, complemented
627	C₂×C₄⋊Q₈	—	73	1	no	—
628	C₂×C₄⋊Q₈	—	73	2	no	—
629	C₂×#127	—	73	1	no	—
630	C₂×#125	—	146	1	no	—
631	C₂×#125	—	146	2	no	—
632	C₂×#124	—	73	2	no	—
633	C₂×#124	—	146	1	no	—
634	C₂×#123	—	146	2	no	—
635	C₂×C₄×Q₈	—	73	1	no	—
636	C₂×C₄×Q₈	—	73	1	no	—
637	C₂×C₄×Q₈	—	73	1	no	—
638	C₂×C₄×Q₈	—	73	2	no	—
639	C₂×C₄×Q₈	—	146	1	no	—
640	C₂×C₄×D₄	—	73	2	no	—
641	C₂×C₄×D₄	—	146	1	no	—
642	#497	—	73	2	no	—
643	#497	—	73	2	no	—
644	#497	—	73	2	no	—
645	#497	—	73	2	no	—
646	#497	—	73	2	no	—
647	#497	—	73	2	no	—
648	#497	—	73	2	no	—
649	#497	C₂×D₇₃	1	2	yes	complemented
650	#492	—	73	2	no	—
651	#492	—	73	2	no	—
652	#492	—	73	1	no	—
653	#492	—	73	1	no	—
654	#492	—	73	1	no	—
655	#492	C₂×D₇₃	1	1	yes	characteristic
656	#464	—	73	2	no	—
657	#464	—	73	2	no	—
658	#464	—	73	2	no	—
659	#464	—	73	2	no	—
660	#464	—	73	2	no	—
661	#464	—	73	2	no	—
662	#464	—	73	2	no	—
663	#464	C₂×D₇₃	1	2	yes	complemented
664	#462	—	73	2	no	—
665	#462	—	73	1	no	—
666	#462	—	73	1	no	—
667	#462	—	73	1	no	—
668	#462	—	73	2	no	—
669	#462	C₂×D₇₃	1	1	yes	characteristic, complemented
670	#461	—	73	2	no	—
671	#461	—	73	2	no	—
672	#461	—	73	2	no	—
673	#461	—	73	2	no	—
674	#461	—	73	2	no	—
675	#461	—	73	2	no	—
676	#461	—	73	2	no	—
677	#461	C₂×D₇₃	1	2	yes	complemented
678	#460	—	73	2	no	—
679	#460	—	73	1	no	—
680	#460	—	73	1	no	—
681	#460	—	73	1	no	—
682	#460	—	73	2	no	—
683	#460	C₂×D₇₃	1	1	yes	characteristic
684	#446	—	73	1	no	—
685	#446	—	73	1	no	—
686	#446	—	73	2	no	—
687	#446	—	73	2	no	—
688	#446	—	73	1	no	—
689	#446	C₂×D₇₃	1	1	yes	characteristic, complemented
690	#440	—	73	2	no	—
691	#440	—	73	2	no	—
692	#440	—	73	2	no	—
693	#440	—	73	2	no	—
694	#440	—	73	2	no	—
695	#440	—	73	2	no	—
696	#440	—	73	2	no	—
697	#440	C₂×D₇₃	1	2	yes	complemented
698	C₄×Q₁₆	—	73	1	no	—
699	C₄×Q₁₆	—	73	1	no	—
700	C₄×Q₁₆	—	73	1	no	—
701	C₄×Q₁₆	—	73	1	no	—
702	C₄×Q₁₆	—	73	1	no	—
703	C₄×Q₁₆	—	73	1	no	—
704	C₄×Q₁₆	—	73	1	no	—
705	C₄×Q₁₆	C₂×D₇₃	1	1	yes	characteristic, complemented
706	C₂×#107	—	73	1	no	—
707	C₂×C₄⋊C₈	—	73	2	no	—
708	C₂×C₄⋊C₈	—	73	1	no	—
709	C₂×#103	—	73	1	no	—
710	C₂×#103	—	73	1	no	—
711	C₂×#103	—	73	2	no	—
712	C₂×#102	—	73	2	no	—
713	C₂×#97	—	73	2	no	—
714	C₂×C₄×C₈	—	73	1	no	—
715	C₂²×Q₈	—	73	1	no	—
716	C₂²×Q₈	—	73	1	no	—
717	C₂²×Q₈	—	73	1	no	—
718	C₂²×Q₈	—	73	2	no	—
719	C₂²×D₄	—	73	2	no	—
720	C₂²×D₄	—	146	1	no	—
721	C₂²×D₄	—	146	1	no	—
722	C₂³×C₄	—	146	2	no	—
723	C₂×Q₁₆	—	292	4	no	—
724	C₂×Q₁₆	—	73	2	no	—
725	C₂×Q₁₆	—	73	2	no	—
726	C₂×Q₁₆	—	73	1	no	—
727	C₂×Q₁₆	—	73	1	no	—
728	C₂×Q₁₆	—	73	2	no	—
729	C₂×Q₁₆	—	73	1	no	—
730	C₂×Q₁₆	—	146	4	no	—
731	C₂×Q₁₆	C₂²×D₇₃	1	1	yes	characteristic
732	C₂×Q₁₆	C₂²×D₇₃	1	2	yes	—
733	C₂×SD₁₆	—	292	4	no	—
734	C₂×SD₁₆	—	292	4	no	—
735	C₂×SD₁₆	—	73	2	no	—
736	C₂×SD₁₆	—	73	2	no	—
737	C₂×SD₁₆	—	73	2	no	—
738	C₂×SD₁₆	—	73	2	no	—
739	C₂×SD₁₆	—	73	2	no	—
740	C₂×SD₁₆	—	73	2	no	—
741	C₂×SD₁₆	—	73	2	no	—
742	C₂×SD₁₆	—	73	2	no	—
743	C₂×SD₁₆	—	73	2	no	—
744	C₂×SD₁₆	—	146	8	no	—
745	C₂×SD₁₆	C₂²×D₇₃	1	2	yes	—
746	C₂×SD₁₆	C₂²×D₇₃	1	2	yes	—
747	C₂×SD₁₆	C₂²×D₇₃	1	2	yes	—
748	C₂²×C₈	—	73	1	no	—
749	C₂²×C₈	—	73	1	no	—
750	C₂²×C₈	—	73	2	no	—
751	C₄⋊Q₈	—	73	2	no	—
752	C₄⋊Q₈	—	73	2	no	—
753	C₄⋊Q₈	—	73	2	no	—
754	C₄⋊Q₈	—	73	2	no	—
755	C₄⋊Q₈	—	73	1	no	—
756	C₄⋊Q₈	—	146	2	no	—
757	C₄⋊Q₈	—	146	2	no	—
758	C₄⋊Q₈	—	146	1	no	—
759	C₄⋊Q₈	—	146	1	no	—
760	C₄⋊Q₈	C₂²×D₇₃	1	2	yes	—
761	C₄⋊Q₈	C₂²×D₇₃	1	1	yes	characteristic
762	#127	—	73	2	no	—
763	#127	—	73	1	no	—
764	#127	—	146	1	no	—
765	#127	—	146	1	no	—
766	#127	C₂²×D₇₃	1	1	yes	characteristic
767	#125	—	2	1	no	—
768	#125	—	2	2	no	—
769	#125	—	146	1	no	—
770	#125	—	146	2	no	—
771	#125	—	146	2	no	—
772	#125	—	146	2	no	—
773	#125	—	146	2	no	—
774	#125	—	146	2	no	—
775	#125	—	146	2	no	—
776	#125	—	146	2	no	—
777	#125	—	146	1	no	—
778	#125	—	146	2	no	—
779	#125	—	146	1	no	—
780	#125	—	146	2	no	—
781	#124	—	2	1	no	—
782	#124	—	73	2	no	—
783	#124	—	73	2	no	—
784	#124	—	73	2	no	—
785	#124	—	146	1	no	—
786	#124	—	146	2	no	—
787	#124	—	146	2	no	—
788	#124	—	146	2	no	—
789	#124	—	146	2	no	—
790	#124	—	146	1	no	—
791	#124	—	146	1	no	—
792	#124	C₂²×D₇₃	1	2	yes	—
793	#123	—	2	2	no	—
794	#123	—	146	2	no	—
795	#123	—	146	2	no	—
796	#123	—	146	2	no	—
797	#123	—	146	2	no	—
798	#123	—	146	2	no	—
799	#123	—	146	2	no	—
800	#123	—	146	2	no	—
801	C₄×Q₈	—	2	1	no	—
802	C₄×Q₈	—	73	1	no	—
803	C₄×Q₈	—	73	2	no	—
804	C₄×Q₈	—	73	1	no	—
805	C₄×Q₈	—	73	2	no	—
806	C₄×Q₈	—	73	1	no	—
807	C₄×Q₈	—	73	1	no	—
808	C₄×Q₈	—	73	2	no	—
809	C₄×Q₈	—	73	1	no	—
810	C₄×Q₈	—	73	1	no	—
811	C₄×Q₈	—	73	2	no	—
812	C₄×Q₈	—	73	1	no	—
813	C₄×Q₈	—	73	1	no	—
814	C₄×Q₈	—	73	2	no	—
815	C₄×Q₈	—	73	1	no	—
816	C₄×Q₈	—	146	2	no	—
817	C₄×Q₈	—	146	1	no	—
818	C₄×Q₈	—	146	1	no	—
819	C₄×Q₈	—	146	2	no	—
820	C₄×Q₈	—	146	1	no	—
821	C₄×Q₈	—	146	2	no	—
822	C₄×Q₈	—	146	1	no	—
823	C₄×Q₈	—	146	1	no	—
824	C₄×Q₈	—	146	2	no	—
825	C₄×Q₈	—	146	1	no	—
826	C₄×Q₈	—	146	1	no	—
827	C₄×Q₈	C₂²×D₇₃	1	1	yes	characteristic
828	C₄×Q₈	C₂²×D₇₃	1	2	yes	—
829	C₄×Q₈	C₂²×D₇₃	1	1	yes	characteristic
830	C₄×Q₈	C₂²×D₇₃	1	1	yes	characteristic
831	C₄×D₄	—	2	1	no	—
832	C₄×D₄	—	73	2	no	—
833	C₄×D₄	—	73	2	no	—
834	C₄×D₄	—	73	2	no	—
835	C₄×D₄	—	146	1	no	—
836	C₄×D₄	—	146	2	no	—
837	C₄×D₄	—	146	2	no	—
838	C₄×D₄	—	146	2	no	—
839	C₄×D₄	—	146	2	no	—
840	C₄×D₄	—	146	1	no	—
841	C₄×D₄	—	146	1	no	—
842	C₄×D₄	C₂²×D₇₃	1	2	yes	—
843	C₂×C₄⋊C₄	—	73	1	no	—
844	C₂×C₄⋊C₄	—	73	2	no	—
845	C₂×C₄⋊C₄	—	73	1	no	—
846	C₂×C₄⋊C₄	—	73	1	no	—
847	C₂×C₄⋊C₄	—	146	1	no	—
848	C₂×C₄⋊C₄	—	146	2	no	—
849	C₂×C₄⋊C₄	—	146	1	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	1	no	—
854	C₂×C₂²⋊C₄	—	146	2	no	—
855	C₂×C₂²⋊C₄	—	146	2	no	—
856	C₂×C₂²⋊C₄	—	146	2	no	—
857	C₂×C₄²	—	73	2	no	—
858	C₂×C₄²	—	73	1	no	—
859	C₂×C₄²	—	146	1	no	—
860	C₂×C₄²	—	146	1	no	—
861	C₂×C₄²	—	146	2	no	—
862	#107	—	73	1	no	—
863	#107	—	73	1	no	—
864	#107	—	73	1	no	—
865	#107	C₂²×D₇₃	1	1	yes	characteristic
866	C₄⋊C₈	—	73	2	no	—
867	C₄⋊C₈	—	73	2	no	—
868	C₄⋊C₈	—	73	2	no	—
869	C₄⋊C₈	—	73	1	no	—
870	C₄⋊C₈	—	73	2	no	—
871	C₄⋊C₈	C₂²×D₇₃	1	1	yes	characteristic
872	C₄⋊C₈	C₂²×D₇₃	1	2	yes	—
873	#103	—	73	1	no	—
874	#103	—	73	1	no	—
875	#103	—	73	2	no	—
876	#103	—	73	1	no	—
877	#103	—	73	1	no	—
878	#103	—	73	2	no	—
879	#103	—	73	1	no	—
880	#103	—	73	1	no	—
881	#103	—	73	2	no	—
882	#103	C₂²×D₇₃	1	1	yes	characteristic
883	#103	C₂²×D₇₃	1	1	yes	characteristic
884	#103	C₂²×D₇₃	1	2	yes	—
885	#102	—	73	2	no	—
886	#102	—	73	2	no	—
887	#102	—	73	2	no	—
888	#102	C₂²×D₇₃	1	2	yes	—
889	#97	—	73	2	no	—
890	#97	—	73	2	no	—
891	#97	—	73	2	no	—
892	#97	C₂²×D₇₃	1	2	yes	—
893	C₄×C₈	—	73	1	no	—
894	C₄×C₈	—	73	1	no	—
895	C₄×C₈	—	73	1	no	—
896	C₄×C₈	C₂²×D₇₃	1	1	yes	characteristic
897	C₂⁴	—	146	2	no	—
898	C₂×Q₈	—	73	2	no	—
899	C₂×Q₈	—	73	1	no	—
900	C₂×Q₈	—	73	1	no	—
901	C₂×Q₈	—	73	2	no	—
902	C₂×Q₈	—	73	1	no	—
903	C₂×Q₈	—	146	1	no	—
904	C₂×Q₈	—	146	1	no	—
905	C₂×Q₈	—	146	2	no	—
906	C₂×Q₈	—	146	2	no	—
907	C₂×Q₈	—	146	4	no	—
908	C₂×Q₈	—	146	4	no	—
909	C₂×Q₈	—	146	2	no	—
910	C₂×Q₈	—	146	2	no	—
911	C₂×Q₈	—	146	2	no	—
912	C₂×Q₈	—	146	4	no	—
913	C₂×Q₈	D₄×D₇₃	1	1	yes	characteristic
914	C₂×Q₈	C₂³×D₇₃	1	1	yes	characteristic
915	C₂×Q₈	C₂³×D₇₃	1	2	yes	—
916	C₂×Q₈	C₂³×D₇₃	1	1	yes	characteristic
917	C₂×D₄	—	2	1	no	—
918	C₂×D₄	—	2	1	no	—
919	C₂×D₄	—	292	4	no	—
920	C₂×D₄	—	584	2	no	—
921	C₂×D₄	—	73	2	no	—
922	C₂×D₄	—	146	4	no	—
923	C₂×D₄	—	146	4	no	—
924	C₂×D₄	—	146	2	no	—
925	C₂×D₄	—	146	2	no	—
926	C₂×D₄	—	146	2	no	—
927	C₂×D₄	—	146	1	no	—
928	C₂×D₄	—	146	1	no	—
929	C₂×D₄	C₂³×D₇₃	1	2	yes	—
930	C₂²×C₄	—	2	2	no	—
931	C₂²×C₄	—	584	4	no	—
932	C₂²×C₄	—	73	1	no	—
933	C₂²×C₄	—	73	1	no	—
934	C₂²×C₄	—	73	2	no	—
935	C₂²×C₄	—	73	2	no	—
936	C₂²×C₄	—	73	1	no	—
937	C₂²×C₄	—	146	1	no	—
938	C₂²×C₄	—	146	1	no	—
939	C₂²×C₄	—	146	1	no	—
940	C₂²×C₄	—	146	1	no	—
941	C₂²×C₄	—	146	2	no	—
942	C₂²×C₄	—	146	2	no	—
943	C₂²×C₄	—	146	2	no	—
944	C₂²×C₄	—	146	2	no	—
945	Q₁₆	—	2	2	no	—
946	Q₁₆	—	4	2	no	—
947	Q₁₆	—	292	2	no	—
948	Q₁₆	—	292	2	no	—
949	Q₁₆	—	292	2	no	—
950	Q₁₆	—	146	2	no	—
951	Q₁₆	—	146	2	no	—
952	Q₁₆	—	146	2	no	—
953	SD₁₆	—	2	4	no	—
954	SD₁₆	—	4	2	no	—
955	SD₁₆	—	4	2	no	—
956	SD₁₆	—	292	2	no	—
957	SD₁₆	—	292	2	no	—
958	SD₁₆	—	292	2	no	—
959	SD₁₆	—	292	2	no	—
960	SD₁₆	—	292	2	no	—
961	SD₁₆	—	292	2	no	—
962	SD₁₆	—	146	4	no	—
963	SD₁₆	—	146	4	no	—
964	SD₁₆	—	146	4	no	—
965	C₂×C₈	—	73	1	no	—
966	C₂×C₈	—	73	4	no	—
967	C₂×C₈	—	73	1	no	—
968	C₂×C₈	—	73	2	no	—
969	C₂×C₈	—	146	2	no	—
970	C₂×C₈	—	146	4	no	—
971	C₂×C₈	C₂³×D₇₃	1	1	yes	characteristic
972	C₂×C₈	C₂³×D₇₃	1	2	yes	—
973	C₂×C₈	C₂³×D₇₃	1	1	yes	characteristic
974	C₄⋊C₄	—	2	2	no	—
975	C₄⋊C₄	—	2	1	no	—
976	C₄⋊C₄	—	2	1	no	—
977	C₄⋊C₄	—	2	2	no	—
978	C₄⋊C₄	—	2	1	no	—
979	C₄⋊C₄	—	2	2	no	—
980	C₄⋊C₄	—	2	1	no	—
981	C₄⋊C₄	—	73	2	no	—
982	C₄⋊C₄	—	73	2	no	—
983	C₄⋊C₄	—	73	2	no	—
984	C₄⋊C₄	—	73	1	no	—
985	C₄⋊C₄	—	73	2	no	—
986	C₄⋊C₄	—	73	1	no	—
987	C₄⋊C₄	—	73	1	no	—
988	C₄⋊C₄	—	146	1	no	—
989	C₄⋊C₄	—	146	1	no	—
990	C₄⋊C₄	—	146	1	no	—
991	C₄⋊C₄	—	146	2	no	—
992	C₄⋊C₄	—	146	1	no	—
993	C₄⋊C₄	—	146	2	no	—
994	C₄⋊C₄	—	146	2	no	—
995	C₄⋊C₄	—	146	2	no	—
996	C₄⋊C₄	—	146	2	no	—
997	C₄⋊C₄	—	146	2	no	—
998	C₄⋊C₄	—	146	2	no	—
999	C₄⋊C₄	—	146	1	no	—
1000	C₄⋊C₄	—	146	2	no	—
1001	C₄⋊C₄	—	146	1	no	—
1002	C₄⋊C₄	—	146	1	no	—
1003	C₄⋊C₄	—	146	2	no	—
1004	C₄⋊C₄	—	146	1	no	—
1005	C₄⋊C₄	—	146	2	no	—
1006	C₄⋊C₄	—	146	1	no	—
1007	C₄⋊C₄	—	146	2	no	—
1008	C₄⋊C₄	—	146	1	no	—
1009	C₄⋊C₄	D₄×D₇₃	1	1	yes	characteristic
1010	C₄⋊C₄	D₄×D₇₃	1	2	yes	—
1011	C₄⋊C₄	C₂³×D₇₃	1	1	yes	characteristic
1012	C₄⋊C₄	C₂³×D₇₃	1	1	yes	characteristic
1013	C₂²⋊C₄	—	2	2	no	—
1014	C₂²⋊C₄	—	2	2	no	—
1015	C₂²⋊C₄	—	2	2	no	—
1016	C₂²⋊C₄	—	146	2	no	—
1017	C₂²⋊C₄	—	146	2	no	—
1018	C₂²⋊C₄	—	146	2	no	—
1019	C₂²⋊C₄	—	146	2	no	—
1020	C₂²⋊C₄	—	146	2	no	—
1021	C₂²⋊C₄	—	146	2	no	—
1022	C₂²⋊C₄	—	146	2	no	—
1023	C₂²⋊C₄	—	146	2	no	—
1024	C₂²⋊C₄	—	146	2	no	—
1025	C₄²	—	2	1	no	—
1026	C₄²	—	2	2	no	—
1027	C₄²	—	2	1	no	—
1028	C₄²	—	73	2	no	—
1029	C₄²	—	73	2	no	—
1030	C₄²	—	73	1	no	—
1031	C₄²	—	73	1	no	—
1032	C₄²	—	73	1	no	—
1033	C₄²	—	73	2	no	—
1034	C₄²	—	146	1	no	—
1035	C₄²	—	146	1	no	—
1036	C₄²	—	146	1	no	—
1037	C₄²	—	146	2	no	—
1038	C₄²	—	146	1	no	—
1039	C₄²	—	146	2	no	—
1040	C₄²	—	146	1	no	—
1041	C₄²	—	146	2	no	—
1042	C₄²	—	146	1	no	—
1043	C₄²	C₂³×D₇₃	1	1	yes	characteristic
1044	C₄²	C₂³×D₇₃	1	2	yes	—
1045	C₂³	—	2	2	no	—
1046	C₂³	—	292	4	no	—
1047	C₂³	—	292	4	no	—
1048	C₂³	—	292	4	no	—
1049	C₂³	—	73	1	no	—
1050	C₂³	—	146	2	no	—
1051	Q₈	—	2	2	no	—
1052	Q₈	—	2	2	no	—
1053	Q₈	—	2	1	no	—
1054	Q₈	—	2	1	no	—
1055	Q₈	—	2	1	no	—
1056	Q₈	—	2	2	no	—
1057	Q₈	—	2	1	no	—
1058	Q₈	—	292	2	no	—
1059	Q₈	—	292	2	no	—
1060	Q₈	—	292	4	no	—
1061	Q₈	—	146	4	no	—
1062	Q₈	—	146	2	no	—
1063	Q₈	—	146	1	no	—
1064	Q₈	—	146	1	no	—
1065	Q₈	—	146	1	no	—
1066	Q₈	—	146	2	no	—
1067	Q₈	—	146	1	no	—
1068	Q₈	—	146	2	no	—
1069	D₄	—	2	2	no	—
1070	D₄	—	2	2	no	—
1071	D₄	—	4	2	no	—
1072	D₄	—	8	1	no	—
1073	D₄	—	292	4	no	—
1074	D₄	—	292	4	no	—
1075	D₄	—	292	2	no	—
1076	D₄	—	584	1	no	—
1077	D₄	—	584	2	no	—
1078	D₄	—	146	2	no	—
1079	D₄	—	146	2	no	—
1080	C₂×C₄	—	2	1	no	—
1081	C₂×C₄	—	2	1	no	—
1082	C₂×C₄	—	2	1	no	—
1083	C₂×C₄	—	2	2	no	—
1084	C₂×C₄	—	2	1	no	—
1085	C₂×C₄	—	8	2	no	—
1086	C₂×C₄	—	292	2	no	—
1087	C₂×C₄	—	292	2	no	—
1088	C₂×C₄	—	292	2	no	—
1089	C₂×C₄	—	292	4	no	—
1090	C₂×C₄	—	292	2	no	—
1091	C₂×C₄	—	584	2	no	—
1092	C₂×C₄	—	584	2	no	—
1093	C₂×C₄	—	584	2	no	—
1094	C₂×C₄	—	73	1	no	—
1095	C₂×C₄	—	73	1	no	—
1096	C₂×C₄	—	73	4	no	—
1097	C₂×C₄	—	73	2	no	—
1098	C₂×C₄	—	73	2	no	—
1099	C₂×C₄	—	73	2	no	—
1100	C₂×C₄	—	73	2	no	—
1101	C₂×C₄	—	73	1	no	—
1102	C₂×C₄	—	146	4	no	—
1103	C₂×C₄	—	146	2	no	—
1104	C₂×C₄	—	146	4	no	—
1105	C₂×C₄	—	146	1	no	—
1106	C₂×C₄	—	146	1	no	—
1107	C₂×C₄	—	146	1	no	—
1108	C₂×C₄	—	146	2	no	—
1109	C₂×C₄	—	146	1	no	—
1110	C₂×C₄	C₂×D₄×D₇₃	1	2	yes	—
1111	C₂×C₄	C₂×D₄×D₇₃	1	2	yes	—
1112	C₂×C₄	C₂×D₄×D₇₃	1	1	yes	characteristic
1113	C₂×C₄	C₂×D₄×D₇₃	1	1	yes	characteristic
1114	C₂×C₄	C₂⁴×D₇₃	1	1	yes	characteristic
1115	C₈	—	2	1	no	—
1116	C₈	—	2	2	no	—
1117	C₈	—	73	2	no	—
1118	C₈	—	146	1	no	—
1119	C₈	—	146	2	no	—
1120	C₈	#41×D₇₃	1	2	yes	—
1121	C₂²	—	4	2	no	—
1122	C₂²	—	4	2	no	—
1123	C₂²	—	4	2	no	—
1124	C₂²	—	292	2	no	—
1125	C₂²	—	292	2	no	—
1126	C₂²	—	292	2	no	—
1127	C₂²	—	584	8	no	—
1128	C₂²	—	73	2	no	—
1129	C₂²	—	73	2	no	—
1130	C₂²	—	73	2	no	—
1131	C₂²	C₂²×D₄×D₇₃	1	1	yes	characteristic
1132	C₄	—	2	2	no	—
1133	C₄	—	2	2	no	—
1134	C₄	—	2	1	no	—
1135	C₄	—	4	1	no	—
1136	C₄	—	4	1	no	—
1137	C₄	—	4	1	no	—
1138	C₄	—	4	2	no	—
1139	C₄	—	4	1	no	—
1140	C₄	—	292	1	no	—
1141	C₄	—	292	1	no	—
1142	C₄	—	292	1	no	—
1143	C₄	—	292	2	no	—
1144	C₄	—	292	1	no	—
1145	C₄	—	73	2	no	—
1146	C₄	—	73	2	no	—
1147	C₄	—	146	2	no	—
1148	C₄	—	146	2	no	—
1149	C₄	—	146	1	no	—
1150	C₄	#137×D₇₃	1	2	yes	—
1151	C₄	C₂×#41×D₇₃	1	1	yes	characteristic
1152	C₄	H(5,𝔽₂)×D₇₃	1	1	yes	characteristic
1153	C₂	—	8	2	no	—
1154	C₂	—	584	2	no	—
1155	C₂	—	73	4	no	—
1156	C₂	#550×D₇₃	1	1	yes	characteristic
1157	C₂	C₂×#137×D₇₃	1	1	yes	characteristic
1158	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×#3400	C₂
socle	C₂²×C₇₃	C₂³×D₄
prime radical	#127×D₇₃	C₂²
hypercenter	#3400	D₇₃
hypocenter	C₇₃	C₂×#3400
LCS	G ▷ C₂×C₄×C₇₃ ▷ C₂×C₇₃ ▷ C₇₃
UCS	C₁ ◁ C₂² ◁ C₄×Q₈ ◁ #3400

Complements

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

N	H ≅ G/N	type
2. #557×D₇₃	C₂	semidirect
3. #22622989	C₂	semidirect
4. #22622988	C₂	semidirect
5. #22622987	C₂	semidirect
6. #22622986	C₂	semidirect
7. #22622985	C₂	semidirect
8. #22622984	C₂	semidirect
9. #22622983	C₂	semidirect
10. #22622982	C₂	semidirect
11. #22622981	C₂	semidirect
12. #22622980	C₂	semidirect
13. #22622979	C₂	semidirect
14. #497×D₇₃	C₂	semidirect
16. #464×D₇₃	C₂	semidirect
17. #462×D₇₃	C₂	semidirect
19. #461×D₇₃	C₂	semidirect
20. #446×D₇₃	C₂	semidirect
21. #440×D₇₃	C₂	semidirect
22. C₄×Q₁₆×D₇₃	C₂	semidirect
23. C₇₃×#3400	C₂	semidirect
37. #17989316	C₂²	semidirect
38. #17989315	C₂²	semidirect
39. #17989315	C₂²	semidirect
43. #17989312	C₂²	semidirect
44. #17989312	C₂²	semidirect
60. #17988982	C₂²	semidirect
61. #17988981	C₂²	semidirect
62. #17988980	C₂²	semidirect
63. #17988980	C₂²	semidirect
64. #17988979	C₂²	semidirect
65. #17988978	C₂²	semidirect
66. #17988978	C₂²	semidirect
72. #17988812	C₂²	semidirect
73. #17988811	C₂²	semidirect
74. #17988810	C₂²	semidirect
75. #17988809	C₂²	semidirect
76. #17988808	C₂²	semidirect
77. #17988807	C₂²	semidirect
78. #17988806	C₂²	semidirect
79. #17988798	C₂²	semidirect
80. #17988797	C₂²	semidirect
81. #17988796	C₂²	semidirect
82. #17988795	C₂²	semidirect
83. #17988794	C₂²	semidirect
84. #17988793	C₂²	semidirect
85. #17988792	C₂²	semidirect
86. #17988791	C₂²	semidirect
87. #17988791	C₂²	semidirect
88. #17988790	C₂²	semidirect
89. #17988790	C₂²	semidirect
90. #17988789	C₂²	semidirect
96. #17988718	C₂²	semidirect
97. #17988717	C₂²	semidirect
98. #17988716	C₂²	semidirect
99. #17988715	C₂²	semidirect
100. #17988714	C₂²	semidirect
101. #17988690	C₂²	semidirect
102. #17988689	C₂²	semidirect
103. #17988688	C₂²	semidirect
104. #17988687	C₂²	semidirect
105. #17988686	C₂²	semidirect
106. #17988685	C₂²	semidirect
107. #17988684	C₂²	semidirect
108. C₄×Dic₂₉₂	C₂²	semidirect
109. Q₁₆×Dic₇₃	C₂²	semidirect
110. #17988681	C₂²	semidirect
111. C₄×#11924018	C₂²	semidirect
112. C₄×#11924018	C₂²	semidirect
113. #17988679	C₂²	semidirect
114. #17988679	C₂²	semidirect
125. #557×C₇₃	C₂²	semidirect
126. #497×C₇₃	C₂²	semidirect
128. #464×C₇₃	C₂²	semidirect
129. #462×C₇₃	C₂²	semidirect
130. #461×C₇₃	C₂²	semidirect
132. #446×C₇₃	C₂²	semidirect
133. #440×C₇₃	C₂²	semidirect
134. C₄×Q₁₆×C₇₃	C₂²	semidirect
579. D₇₃	#3400	direct (N × H)
593. #3400	D₇₃	direct (N × H)
603. C₇₃	C₂×#3400	semidirect
626. #557	C₂×D₇₃	semidirect
649. #497	C₂×D₇₃	semidirect
663. #464	C₂×D₇₃	semidirect
669. #462	C₂×D₇₃	semidirect
677. #461	C₂×D₇₃	semidirect
689. #446	C₂×D₇₃	semidirect
697. #440	C₂×D₇₃	semidirect
705. C₄×Q₁₆	C₂×D₇₃	semidirect

Maximal subgroups

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

subgroup	index
#559×D₇₃	2
#557×D₇₃	2
#22622989	2
#22622988	2
#22622987	2
#22622986	2
#22622985	2
#22622984	2
#22622983	2
#22622982	2
#22622981	2
#22622980	2
#22622979	2
#497×D₇₃	2
#492×D₇₃	2
#464×D₇₃	2
#462×D₇₃	2
#460×D₇₃	2
#461×D₇₃	2
#446×D₇₃	2
#440×D₇₃	2
C₄×Q₁₆×D₇₃	2
C₇₃×#3400	2
C₂×#3400	73

Subgroups — #3400×D73 #33966970

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — #3400×D₇₃ #33966970