Subgroups — #3356×D₇₃ #33964714

Order 18688.

1866 conjugacy classes of subgroups.

The subgroup lattice has 1118 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#556×D₇₃	C₂	1	1	yes	maximal, characteristic
2	#554×D₇₃	C₂	1	1	yes	maximal, characteristic
3	#22622549	C₂	1	1	yes	maximal, characteristic, complemented
4	#22622548	C₂	1	1	yes	maximal, characteristic, complemented
5	#22622547	C₂	1	1	yes	maximal, characteristic, complemented
6	#22622546	C₂	1	1	yes	maximal, characteristic, complemented
7	#22622545	C₂	1	1	yes	maximal, characteristic, complemented
8	#22622544	C₂	1	2	yes	maximal, complemented
9	#22622543	C₂	1	1	yes	maximal, characteristic, complemented
10	#22622542	C₂	1	2	yes	maximal, complemented
11	#22622541	C₂	1	2	yes	maximal, complemented
12	#22622540	C₂	1	1	yes	maximal, characteristic, complemented
13	#22622539	C₂	1	2	yes	maximal, complemented
14	#498×D₇₃	C₂	1	1	yes	maximal, characteristic, complemented
15	#485×D₇₃	C₂	1	2	yes	maximal, complemented
16	#483×D₇₃	C₂	1	2	yes	maximal, complemented
17	#477×D₇₃	C₂	1	1	yes	maximal, characteristic, complemented
18	#475×D₇₃	C₂	1	1	yes	maximal, characteristic, complemented
19	#470×D₇₃	C₂	1	2	yes	maximal, complemented
20	C₄×Q₁₆×D₇₃	C₂	1	1	yes	maximal, characteristic, complemented
21	#436×D₇₃	C₂	1	1	yes	maximal, characteristic
22	#428×D₇₃	C₂	1	2	yes	maximal, complemented
23	C₇₃×#3356	C₂	1	1	yes	maximal, characteristic, complemented
24	C₂×Q₁₆×D₇₃	C₂²	1	1	yes	characteristic
25	C₂×M₁₆×D₇₃	C₂²	1	2	yes	—
26	#17989311	C₂²	1	1	yes	characteristic
27	#17989310	C₂²	1	1	yes	characteristic
28	#17989309	—	2	1	no	—
29	#17989308	C₂²	1	2	yes	—
30	#17989307	C₂²	1	1	yes	characteristic
31	#17989306	—	2	1	no	—
32	#17989305	C₂²	1	2	yes	—
33	#17989304	—	2	2	no	—
34	#17989298	C₂²	1	1	yes	characteristic
35	#17989297	C₂²	1	1	yes	characteristic
36	#17989296	—	2	1	no	—
37	#17989295	C₂²	1	2	yes	—
38	#17989294	C₂²	1	1	yes	characteristic
39	#17989293	—	2	1	no	—
40	#17989292	C₂²	1	2	yes	—
41	#17989291	—	2	2	no	—
42	C₄⋊Q₈×D₇₃	C₂²	1	1	yes	characteristic
43	C₄⋊Q₈×D₇₃	C₂²	1	1	yes	characteristic
44	#126×D₇₃	—	2	2	no	—
45	#125×D₇₃	—	2	1	no	—
46	#124×D₇₃	—	2	1	no	—
47	C₂²⋊Q₈×D₇₃	—	2	2	no	—
48	C₂²⋊Q₈×D₇₃	C₂²	1	2	yes	—
49	C₂²⋊Q₈×D₇₃	C₂²	1	2	yes	—
50	C₄×Q₈×D₇₃	—	2	1	no	—
51	C₄×Q₈×D₇₃	C₂²	1	1	yes	characteristic
52	C₄×Q₈×D₇₃	C₂²	1	1	yes	characteristic
53	C₄×D₄×D₇₃	—	2	1	no	—
54	C₄×D₄×D₇₃	C₂²	1	1	yes	characteristic
55	#117×D₇₃	C₂²	1	2	yes	—
56	C₂×C₄⋊C₄×D₇₃	C₂²	1	2	yes	—
57	#17988985	C₂²	1	1	yes	characteristic, complemented
58	#17988984	C₂²	1	2	yes	complemented
59	#17988984	C₂²	1	2	yes	complemented
60	#17988983	C₂²	1	1	yes	characteristic, complemented
61	#17988983	C₂²	1	1	yes	characteristic, complemented
62	#17988931	C₂²	1	2	yes	complemented
63	#17988930	C₂²	1	2	yes	complemented
64	#17988929	C₂²	1	2	yes	complemented
65	#17988928	C₂²	1	2	yes	complemented
66	#17988927	C₂²	1	2	yes	complemented
67	#17988926	C₂²	1	2	yes	complemented
68	#17988925	C₂²	1	2	yes	complemented
69	#17988919	C₂²	1	2	yes	complemented
70	#17988919	C₂²	1	2	yes	complemented
71	#17988918	C₂²	1	2	yes	complemented
72	#17988917	C₂²	1	2	yes	complemented
73	#17988916	C₂²	1	2	yes	complemented
74	#17988916	C₂²	1	2	yes	complemented
75	#17988915	C₂²	1	2	yes	complemented
76	#17988883	C₂²	1	1	yes	characteristic, complemented
77	#17988882	C₂²	1	1	yes	characteristic, complemented
78	#17988881	C₂²	1	2	yes	complemented
79	#17988880	C₂²	1	2	yes	complemented
80	#17988879	C₂²	1	1	yes	characteristic, complemented
81	#17988873	C₂²	1	1	yes	characteristic, complemented
82	#17988872	C₂²	1	1	yes	characteristic, complemented
83	#17988871	C₂²	1	2	yes	complemented
84	#17988870	C₂²	1	2	yes	complemented
85	#17988869	C₂²	1	1	yes	characteristic, complemented
86	#17988846	C₂²	1	2	yes	complemented
87	#17988845	C₂²	1	2	yes	complemented
88	#17988844	C₂²	1	2	yes	complemented
89	#17988844	C₂²	1	2	yes	complemented
90	#17988843	C₂²	1	2	yes	complemented
91	#17988843	C₂²	1	2	yes	complemented
92	#17988842	C₂²	1	2	yes	complemented
93	C₄×Dic₂₉₂	C₂²	1	1	yes	characteristic, complemented
94	Q₁₆×Dic₇₃	C₂²	1	1	yes	characteristic, complemented
95	#17988681	C₂²	1	1	yes	characteristic, complemented
96	C₄×#11924018	C₂²	1	1	yes	characteristic, complemented
97	C₄×#11924018	C₂²	1	1	yes	characteristic, complemented
98	#17988679	C₂²	1	1	yes	characteristic, complemented
99	#17988679	C₂²	1	1	yes	characteristic, complemented
100	#17988666	C₂²	1	1	yes	characteristic
101	#17988665	C₂²	1	1	yes	characteristic
102	#17988664	C₂²	1	1	yes	characteristic
103	#17988663	C₂²	1	2	yes	—
104	#17988662	C₂²	1	2	yes	—
105	#17988630	C₂²	1	2	yes	complemented
106	#17988629	C₂²	1	2	yes	complemented
107	#17988628	C₂²	1	2	yes	complemented
108	#17988628	C₂²	1	2	yes	complemented
109	#17988627	C₂²	1	2	yes	complemented
110	#17988626	C₂²	1	2	yes	complemented
111	#17988626	C₂²	1	2	yes	complemented
112	#107×D₇₃	C₂²	1	2	yes	—
113	#107×D₇₃	C₂²	1	1	yes	characteristic
114	#106×D₇₃	C₂²	1	2	yes	—
115	#106×D₇₃	C₂²	1	2	yes	—
116	#106×D₇₃	C₂²	1	2	yes	—
117	C₄⋊C₈×D₇₃	C₂²	1	1	yes	characteristic
118	#103×D₇₃	C₂²	1	2	yes	—
119	#103×D₇₃	C₂²	1	2	yes	—
120	#103×D₇₃	C₂²	1	1	yes	characteristic
121	#103×D₇₃	C₂²	1	1	yes	characteristic
122	C₂²⋊C₈×D₇₃	C₂²	1	2	yes	—
123	C₄×C₈×D₇₃	C₂²	1	1	yes	characteristic
124	#556×C₇₃	C₂²	1	1	yes	characteristic
125	#554×C₇₃	C₂²	1	1	yes	characteristic
126	#498×C₇₃	C₂²	1	1	yes	characteristic, complemented
127	#485×C₇₃	C₂²	1	2	yes	complemented
128	#483×C₇₃	C₂²	1	2	yes	complemented
129	#477×C₇₃	C₂²	1	1	yes	characteristic, complemented
130	#475×C₇₃	C₂²	1	1	yes	characteristic, complemented
131	#470×C₇₃	C₂²	1	2	yes	complemented
132	C₄×Q₁₆×C₇₃	C₂²	1	1	yes	characteristic, complemented
133	#436×C₇₃	C₂²	1	1	yes	characteristic
134	#428×C₇₃	C₂²	1	2	yes	complemented
135	C₂×Q₈×D₇₃	—	2	1	no	—
136	C₂×Q₈×D₇₃	—	2	1	no	—
137	C₂×Q₈×D₇₃	C₂³	1	1	yes	characteristic
138	C₂×Q₈×D₇₃	C₂³	1	1	yes	characteristic
139	C₂×D₄×D₇₃	D₄	1	1	yes	characteristic
140	C₂²×C₄×D₇₃	—	2	2	no	—
141	C₂²×C₄×D₇₃	C₂³	1	2	yes	—
142	C₂×Dic₂₉₂	C₂³	1	1	yes	characteristic
143	C₂×#11924018	C₂³	1	1	yes	characteristic
144	C₂×#11924018	C₂³	1	1	yes	characteristic
145	Q₁₆×D₇₃	—	2	4	no	—
146	C₂×#11924012	C₂³	1	2	yes	—
147	C₂×#11924011	C₂³	1	2	yes	—
148	C₂×#11924011	C₂³	1	2	yes	—
149	M₁₆×D₇₃	—	2	8	no	—
150	C₂×C₈×D₇₃	C₂³	1	1	yes	characteristic
151	C₂×C₈×D₇₃	C₂³	1	2	yes	—
152	C₂×C₈×D₇₃	C₂³	1	1	yes	characteristic
153	#14556591	C₂³	1	1	yes	characteristic
154	#14556591	C₂³	1	1	yes	characteristic
155	#14556590	—	2	1	no	—
156	#14556590	—	2	1	no	—
157	#14556590	C₂³	1	2	yes	—
158	#14556590	C₂³	1	2	yes	—
159	#14556589	—	2	1	no	—
160	#14556589	—	2	1	no	—
161	#14556586	—	2	2	no	—
162	#14556586	—	2	2	no	—
163	#14556586	—	2	2	no	—
164	#14556585	—	2	2	no	—
165	#14556584	—	2	2	no	—
166	#14556584	—	2	2	no	—
167	#14556584	—	2	2	no	—
168	#14556583	—	2	1	no	—
169	#14556582	—	2	1	no	—
170	#14556582	—	2	1	no	—
171	#14556581	—	2	2	no	—
172	#14556581	—	2	2	no	—
173	#14556580	—	2	1	no	—
174	#14556579	—	2	1	no	—
175	#14556578	—	2	1	no	—
176	#14556577	—	2	2	no	—
177	#14556577	—	2	2	no	—
178	#14556571	—	2	2	no	—
179	#14556571	C₂³	1	2	yes	—
180	#14556571	C₂³	1	2	yes	—
181	#14556570	—	2	2	no	—
182	#14556570	C₂³	1	2	yes	—
183	#14556570	C₂³	1	2	yes	—
184	#14556569	—	2	2	no	—
185	#14556569	—	2	2	no	—
186	#14556569	—	2	2	no	—
187	#14556569	—	2	2	no	—
188	#14556568	—	2	2	no	—
189	#14556568	—	2	2	no	—
190	#14556568	—	2	2	no	—
191	#14556568	—	2	2	no	—
192	#14556567	—	2	2	no	—
193	#14556567	C₂³	1	2	yes	—
194	#14556567	C₂³	1	2	yes	—
195	Q₈×Dic₇₃	—	2	1	no	—
196	Q₈×Dic₇₃	C₂³	1	1	yes	characteristic
197	Q₈×Dic₇₃	C₂³	1	1	yes	characteristic
198	C₄×Dic₁₄₆	—	2	1	no	—
199	C₄×Dic₁₄₆	—	2	2	no	—
200	C₄×Dic₁₄₆	—	2	1	no	—
201	C₄×Dic₁₄₆	—	2	1	no	—
202	C₄×Dic₁₄₆	C₂³	1	1	yes	characteristic
203	C₄×Dic₁₄₆	C₂³	1	1	yes	characteristic
204	#14556556	—	2	2	no	—
205	#14556556	—	2	1	no	—
206	#14556556	—	2	1	no	—
207	#14556556	—	2	1	no	—
208	#14556556	C₂³	1	1	yes	characteristic
209	#14556556	C₂³	1	1	yes	characteristic
210	C₄×D₂₉₂	—	2	1	no	—
211	C₄×D₂₉₂	C₂³	1	1	yes	characteristic
212	D₄×Dic₇₃	—	2	1	no	—
213	D₄×Dic₇₃	D₄	1	1	yes	characteristic
214	#14556553	—	2	1	no	—
215	#14556553	D₄	1	1	yes	characteristic
216	C₄×C₂²⋊D₇₃	—	2	2	no	—
217	C₄×C₂²⋊D₇₃	C₂³	1	2	yes	—
218	#14556551	—	2	2	no	—
219	#14556551	D₄	1	2	yes	—
220	#14556550	C₂³	1	2	yes	—
221	#14556549	C₂³	1	2	yes	—
222	#14556549	C₂³	1	2	yes	—
223	#14556548	—	2	2	no	—
224	#14556547	—	2	2	no	—
225	C₂×C₄⋊Dic₇₃	C₂³	1	2	yes	—
226	C₂×#11924007	—	2	2	no	—
227	C₄⋊C₄×D₇₃	—	2	1	no	—
228	C₄⋊C₄×D₇₃	—	2	1	no	—
229	C₄⋊C₄×D₇₃	—	2	2	no	—
230	C₄⋊C₄×D₇₃	—	2	2	no	—
231	C₄⋊C₄×D₇₃	—	2	2	no	—
232	C₄⋊C₄×D₇₃	—	2	1	no	—
233	C₄⋊C₄×D₇₃	—	2	1	no	—
234	C₄⋊C₄×D₇₃	—	2	2	no	—
235	C₄⋊C₄×D₇₃	D₄	1	1	yes	characteristic
236	C₄⋊C₄×D₇₃	C₂³	1	2	yes	—
237	C₄⋊C₄×D₇₃	C₂³	1	2	yes	—
238	C₄⋊C₄×D₇₃	C₂³	1	1	yes	characteristic
239	C₄⋊C₄×D₇₃	C₂³	1	1	yes	characteristic
240	C₄⋊C₄×D₇₃	C₂³	1	2	yes	—
241	C₄⋊C₄×D₇₃	C₂³	1	2	yes	—
242	C₂²⋊C₄×D₇₃	—	2	2	no	—
243	C₂²⋊C₄×D₇₃	—	2	2	no	—
244	C₂²⋊C₄×D₇₃	—	2	2	no	—
245	C₂²⋊C₄×D₇₃	D₄	1	2	yes	—
246	C₄²×D₇₃	—	2	2	no	—
247	C₄²×D₇₃	—	2	1	no	—
248	C₄²×D₇₃	—	2	1	no	—
249	C₄²×D₇₃	C₂³	1	1	yes	characteristic
250	#14556525	C₂³	1	2	yes	—
251	#14556525	C₂³	1	1	yes	characteristic
252	#14556524	C₂³	1	2	yes	—
253	#14556524	C₂³	1	2	yes	—
254	#14556524	C₂³	1	1	yes	characteristic
255	#14556524	C₂³	1	1	yes	characteristic
256	#14556523	C₂³	1	2	yes	—
257	#14556523	C₂³	1	2	yes	—
258	#14556523	C₂³	1	2	yes	—
259	#14556522	C₂³	1	2	yes	—
260	#14556522	C₂³	1	2	yes	—
261	#14556522	C₂³	1	2	yes	—
262	#14556522	C₂³	1	2	yes	—
263	#14556522	C₂³	1	2	yes	—
264	#14556522	C₂³	1	2	yes	—
265	C₄⋊#10596831	C₂³	1	1	yes	characteristic
266	#14556520	C₂³	1	2	yes	—
267	#14556516	C₂³	1	2	yes	—
268	#14556516	C₂³	1	2	yes	—
269	#14556516	C₂³	1	1	yes	characteristic
270	#14556516	C₂³	1	1	yes	characteristic
271	#14556515	C₂³	1	2	yes	—
272	#14556515	C₂³	1	2	yes	—
273	#14556515	C₂³	1	1	yes	characteristic
274	#14556515	C₂³	1	1	yes	characteristic
275	#14556514	C₂³	1	2	yes	—
276	#14556514	C₂³	1	2	yes	—
277	#14556514	C₂³	1	1	yes	characteristic
278	#14556514	C₂³	1	1	yes	characteristic
279	C₂²⋊#10596831	C₂³	1	2	yes	—
280	#14556503	C₂³	1	2	yes	—
281	#14556503	C₂³	1	2	yes	—
282	C₄×#10596831	C₂³	1	1	yes	characteristic
283	C₈×Dic₇₃	C₂³	1	1	yes	characteristic
284	C₈×Dic₇₃	C₂³	1	1	yes	characteristic
285	C₂×Q₁₆×C₇₃	C₂³	1	1	yes	characteristic
286	C₂×M₁₆×C₇₃	C₂³	1	2	yes	—
287	C₄⋊Q₈×C₇₃	C₂³	1	1	yes	characteristic
288	C₄⋊Q₈×C₇₃	C₂³	1	1	yes	characteristic
289	#126×C₇₃	—	2	2	no	—
290	#125×C₇₃	—	2	1	no	—
291	#124×C₇₃	—	2	1	no	—
292	C₂²⋊Q₈×C₇₃	—	2	2	no	—
293	C₂²⋊Q₈×C₇₃	C₂³	1	2	yes	—
294	C₂²⋊Q₈×C₇₃	C₂³	1	2	yes	—
295	C₄×Q₈×C₇₃	—	2	1	no	—
296	C₄×Q₈×C₇₃	C₂³	1	1	yes	characteristic
297	C₄×Q₈×C₇₃	C₂³	1	1	yes	characteristic
298	C₄×D₄×C₇₃	—	2	1	no	—
299	C₄×D₄×C₇₃	C₂³	1	1	yes	characteristic
300	#117×C₇₃	C₂³	1	2	yes	—
301	C₂×C₄⋊C₄×C₇₃	C₂³	1	2	yes	—
302	#107×C₇₃	C₂³	1	2	yes	—
303	#107×C₇₃	C₂³	1	1	yes	characteristic
304	#106×C₇₃	C₂³	1	2	yes	—
305	#106×C₇₃	C₂³	1	2	yes	—
306	#106×C₇₃	C₂³	1	2	yes	—
307	C₄⋊C₈×C₇₃	C₂³	1	1	yes	characteristic
308	#103×C₇₃	C₂³	1	2	yes	—
309	#103×C₇₃	C₂³	1	2	yes	—
310	#103×C₇₃	C₂³	1	1	yes	characteristic
311	#103×C₇₃	C₂³	1	1	yes	characteristic
312	C₂²⋊C₈×C₇₃	C₂³	1	2	yes	—
313	C₄×C₈×C₇₃	C₂³	1	1	yes	characteristic
314	C₂³×D₇₃	C₂×D₄	1	2	yes	—
315	C₂×Dic₁₄₆	—	2	1	no	—
316	C₂×Dic₁₄₆	—	2	1	no	—
317	C₂×Dic₁₄₆	—	2	1	no	—
318	C₂×Dic₁₄₆	—	2	2	no	—
319	C₂×Dic₁₄₆	—	2	1	no	—
320	C₂×Dic₁₄₆	—	2	2	no	—
321	C₂×Dic₁₄₆	C₂⁴	1	1	yes	characteristic
322	C₂×Dic₁₄₆	C₂⁴	1	1	yes	characteristic
323	Q₈×D₇₃	—	2	2	no	—
324	Q₈×D₇₃	—	2	2	no	—
325	Q₈×D₇₃	—	2	2	no	—
326	Q₈×D₇₃	—	2	2	no	—
327	Q₈×D₇₃	—	4	4	no	—
328	Q₈×D₇₃	—	8	2	no	—
329	C₂×D₂₉₂	C₂×D₄	1	1	yes	characteristic
330	C₂×C₂²⋊D₇₃	C₂×D₄	1	2	yes	—
331	D₄×D₇₃	—	2	4	no	—
332	C₂²×Dic₇₃	—	2	2	no	—
333	C₂²×Dic₇₃	C₂×D₄	1	2	yes	—
334	C₂×C₄×D₇₃	—	2	4	no	—
335	C₂×C₄×D₇₃	—	2	4	no	—
336	C₂×C₄×D₇₃	—	2	1	no	—
337	C₂×C₄×D₇₃	—	2	1	no	—
338	C₂×C₄×D₇₃	—	2	1	no	—
339	C₂×C₄×D₇₃	—	2	2	no	—
340	C₂×C₄×D₇₃	—	2	1	no	—
341	C₂×C₄×D₇₃	—	2	2	no	—
342	C₂×C₄×D₇₃	—	2	2	no	—
343	C₂×C₄×D₇₃	—	2	2	no	—
344	C₂×C₄×D₇₃	—	8	4	no	—
345	C₂×C₄×D₇₃	C₂×D₄	1	2	yes	—
346	C₂×C₄×D₇₃	C₂×D₄	1	1	yes	characteristic
347	C₂×C₄×D₇₃	C₂×D₄	1	2	yes	—
348	C₂×C₄×D₇₃	C₂×D₄	1	1	yes	characteristic
349	C₂×C₄×D₇₃	C₂⁴	1	2	yes	—
350	C₂×C₄×D₇₃	C₂⁴	1	1	yes	characteristic
351	Dic₂₉₂	—	2	2	no	—
352	#11924018	—	2	2	no	—
353	#11924018	—	2	2	no	—
354	#11924012	—	2	4	no	—
355	#11924011	—	2	4	no	—
356	#11924011	—	2	4	no	—
357	C₂×#10596831	C₂⁴	1	1	yes	characteristic
358	C₂×#10596831	C₂⁴	1	2	yes	—
359	C₂×#10596831	C₂⁴	1	1	yes	characteristic
360	C₈×D₇₃	—	2	4	no	—
361	C₈×D₇₃	—	2	2	no	—
362	C₈×D₇₃	#41	1	4	yes	—
363	C₄⋊Dic₇₃	—	2	2	no	—
364	C₄⋊Dic₇₃	—	2	1	no	—
365	C₄⋊Dic₇₃	—	2	1	no	—
366	C₄⋊Dic₇₃	—	2	2	no	—
367	C₄⋊Dic₇₃	—	2	1	no	—
368	C₄⋊Dic₇₃	—	2	1	no	—
369	C₄⋊Dic₇₃	—	2	2	no	—
370	C₄⋊Dic₇₃	C₂×D₄	1	1	yes	characteristic
371	C₄⋊Dic₇₃	C₂⁴	1	2	yes	—
372	C₄⋊Dic₇₃	C₂⁴	1	1	yes	characteristic
373	C₄⋊Dic₇₃	C₂⁴	1	2	yes	—
374	C₄⋊Dic₇₃	C₂⁴	1	1	yes	characteristic
375	#11924007	—	2	2	no	—
376	#11924007	—	2	1	no	—
377	#11924007	—	2	1	no	—
378	#11924007	—	2	2	no	—
379	#11924007	—	2	1	no	—
380	#11924007	—	2	2	no	—
381	#11924007	—	2	2	no	—
382	#11924007	—	2	2	no	—
383	#11924007	—	2	2	no	—
384	#11924007	—	2	2	no	—
385	#11924007	—	2	1	no	—
386	#11924007	—	2	1	no	—
387	#11924007	—	2	2	no	—
388	#11924007	—	2	2	no	—
389	#11924007	—	2	1	no	—
390	#11924007	—	2	2	no	—
391	#11924007	C₂×D₄	1	2	yes	—
392	C₂²⋊Dic₇₃	—	2	2	no	—
393	C₂²⋊Dic₇₃	—	2	2	no	—
394	C₂²⋊Dic₇₃	—	2	2	no	—
395	C₂²⋊Dic₇₃	C₂×D₄	1	2	yes	—
396	#11924005	—	2	2	no	—
397	#11924005	—	2	2	no	—
398	#11924005	—	2	2	no	—
399	#11924005	—	2	2	no	—
400	#11924005	—	2	2	no	—
401	#11924005	—	2	2	no	—
402	#11924005	C₂×D₄	1	2	yes	—
403	#11924005	C₂×D₄	1	2	yes	—
404	C₄×Dic₇₃	—	2	2	no	—
405	C₄×Dic₇₃	—	2	1	no	—
406	C₄×Dic₇₃	—	2	1	no	—
407	C₄×Dic₇₃	—	2	2	no	—
408	C₄×Dic₇₃	—	2	2	no	—
409	C₄×Dic₇₃	—	2	1	no	—
410	C₄×Dic₇₃	—	2	1	no	—
411	C₄×Dic₇₃	—	2	1	no	—
412	C₄×Dic₇₃	—	2	1	no	—
413	C₄×Dic₇₃	C₂×D₄	1	1	yes	characteristic
414	C₄×Dic₇₃	C₂×D₄	1	1	yes	characteristic
415	C₄×Dic₇₃	C₂⁴	1	1	yes	characteristic
416	C₂×Q₈×C₇₃	—	2	1	no	—
417	C₂×Q₈×C₇₃	—	2	1	no	—
418	C₂×Q₈×C₇₃	C₂⁴	1	1	yes	characteristic
419	C₂×Q₈×C₇₃	C₂⁴	1	1	yes	characteristic
420	C₂×D₄×C₇₃	C₂×D₄	1	1	yes	characteristic
421	C₂²×C₄×C₇₃	—	2	2	no	—
422	C₂²×C₄×C₇₃	C₂⁴	1	2	yes	—
423	Q₁₆×C₇₃	—	2	2	no	—
424	M₁₆×C₇₃	—	2	4	no	—
425	C₂×C₈×C₇₃	C₂⁴	1	1	yes	characteristic
426	C₂×C₈×C₇₃	C₂⁴	1	2	yes	—
427	C₂×C₈×C₇₃	C₂⁴	1	1	yes	characteristic
428	C₄⋊C₄×C₇₃	—	2	2	no	—
429	C₄⋊C₄×C₇₃	—	2	1	no	—
430	C₄⋊C₄×C₇₃	—	2	2	no	—
431	C₄⋊C₄×C₇₃	—	2	1	no	—
432	C₄⋊C₄×C₇₃	—	2	1	no	—
433	C₄⋊C₄×C₇₃	—	2	2	no	—
434	C₄⋊C₄×C₇₃	—	2	1	no	—
435	C₄⋊C₄×C₇₃	C₂×D₄	1	1	yes	characteristic
436	C₄⋊C₄×C₇₃	C₂⁴	1	2	yes	—
437	C₄⋊C₄×C₇₃	C₂⁴	1	1	yes	characteristic
438	C₄⋊C₄×C₇₃	C₂⁴	1	2	yes	—
439	C₄⋊C₄×C₇₃	C₂⁴	1	1	yes	characteristic
440	C₂²⋊C₄×C₇₃	—	2	2	no	—
441	C₂²⋊C₄×C₇₃	—	2	2	no	—
442	C₂²⋊C₄×C₇₃	—	2	2	no	—
443	C₂²⋊C₄×C₇₃	C₂×D₄	1	2	yes	—
444	C₄²×C₇₃	—	2	2	no	—
445	C₄²×C₇₃	—	2	1	no	—
446	C₄²×C₇₃	—	2	1	no	—
447	C₄²×C₇₃	C₂⁴	1	1	yes	characteristic
448	C₂³×C₇₃	C₂²×D₄	1	2	yes	—
449	C₂²×D₇₃	—	2	4	no	—
450	C₂²×D₇₃	—	2	4	no	—
451	C₂²×D₇₃	—	2	4	no	—
452	C₂²×D₇₃	C₂²×D₄	1	2	yes	—
453	C₂²×D₇₃	C₂²×D₄	1	1	yes	characteristic
454	Q₈×C₇₃	—	2	1	no	—
455	Q₈×C₇₃	—	2	1	no	—
456	Q₈×C₇₃	—	2	1	no	—
457	Q₈×C₇₃	—	2	1	no	—
458	Q₈×C₇₃	—	4	2	no	—
459	Q₈×C₇₃	—	8	1	no	—
460	D₄×C₇₃	—	2	2	no	—
461	C₂×C₄×C₇₃	—	2	2	no	—
462	C₂×C₄×C₇₃	—	2	2	no	—
463	C₂×C₄×C₇₃	—	2	1	no	—
464	C₂×C₄×C₇₃	—	2	1	no	—
465	C₂×C₄×C₇₃	—	2	1	no	—
466	C₂×C₄×C₇₃	—	2	2	no	—
467	C₂×C₄×C₇₃	—	2	1	no	—
468	C₂×C₄×C₇₃	—	2	2	no	—
469	C₂×C₄×C₇₃	—	8	2	no	—
470	C₂×C₄×C₇₃	C₂²×D₄	1	2	yes	—
471	C₂×C₄×C₇₃	C₂²×D₄	1	1	yes	characteristic
472	C₂×C₄×C₇₃	C₂²×D₄	1	1	yes	characteristic
473	C₂×C₄×C₇₃	C₂⁵	1	1	yes	characteristic
474	C₂²⋊D₇₃	—	2	4	no	—
475	C₂×Dic₇₃	—	2	4	no	—
476	C₂×Dic₇₃	—	2	1	no	—
477	C₂×Dic₇₃	—	2	1	no	—
478	C₂×Dic₇₃	—	2	1	no	—
479	C₂×Dic₇₃	—	2	2	no	—
480	C₂×Dic₇₃	—	2	1	no	—
481	C₂×Dic₇₃	—	2	2	no	—
482	C₂×Dic₇₃	—	8	2	no	—
483	C₂×Dic₇₃	C₂²×D₄	1	2	yes	—
484	C₂×Dic₇₃	C₂²×D₄	1	1	yes	characteristic
485	C₂×Dic₇₃	C₂²×D₄	1	1	yes	characteristic
486	C₂×Dic₇₃	C₂²×D₄	1	1	yes	characteristic
487	D₂₉₂	—	2	2	no	—
488	C₄×D₇₃	—	2	4	no	—
489	C₄×D₇₃	—	2	2	no	—
490	C₄×D₇₃	—	2	2	no	—
491	C₄×D₇₃	—	2	2	no	—
492	C₄×D₇₃	—	2	4	no	—
493	C₄×D₇₃	—	4	2	no	—
494	C₄×D₇₃	—	4	2	no	—
495	C₄×D₇₃	—	4	4	no	—
496	C₄×D₇₃	—	4	2	no	—
497	C₄×D₇₃	—	4	2	no	—
498	C₄×D₇₃	—	4	4	no	—
499	C₄×D₇₃	—	8	2	no	—
500	C₄×D₇₃	—	8	2	no	—
501	C₄×D₇₃	#137	1	4	yes	—
502	C₄×D₇₃	C₂×#41	1	2	yes	—
503	C₄×D₇₃	2₋¹⁺⁴	1	2	yes	—
504	Dic₁₄₆	—	2	1	no	—
505	Dic₁₄₆	—	2	1	no	—
506	Dic₁₄₆	—	2	1	no	—
507	Dic₁₄₆	—	2	1	no	—
508	Dic₁₄₆	—	4	2	no	—
509	Dic₁₄₆	—	4	2	no	—
510	Dic₁₄₆	—	4	2	no	—
511	Dic₁₄₆	—	4	4	no	—
512	Dic₁₄₆	—	8	2	no	—
513	Dic₁₄₆	—	8	1	no	—
514	C₈×C₇₃	—	2	2	no	—
515	C₈×C₇₃	—	2	1	no	—
516	C₈×C₇₃	C₂×#41	1	2	yes	—
517	#10596831	—	2	2	no	—
518	#10596831	—	2	1	no	—
519	#10596831	C₂×#41	1	2	yes	—
520	C₂²×C₇₃	—	2	2	no	—
521	C₂²×C₇₃	—	2	2	no	—
522	C₂²×C₇₃	—	2	2	no	—
523	C₂²×C₇₃	C₂³×D₄	1	1	yes	characteristic
524	C₂×D₇₃	—	2	2	no	—
525	C₂×D₇₃	—	2	2	no	—
526	C₂×D₇₃	—	2	2	no	—
527	C₂×D₇₃	—	4	8	no	—
528	C₂×D₇₃	#547	1	2	yes	—
529	C₂×D₇₃	C₂×#137	1	2	yes	—
530	C₂×D₇₃	#577	1	2	yes	—
531	C₄×C₇₃	—	2	2	no	—
532	C₄×C₇₃	—	2	1	no	—
533	C₄×C₇₃	—	4	1	no	—
534	C₄×C₇₃	—	4	1	no	—
535	C₄×C₇₃	—	4	2	no	—
536	C₄×C₇₃	—	4	2	no	—
537	C₄×C₇₃	—	4	1	no	—
538	C₄×C₇₃	—	4	1	no	—
539	C₄×C₇₃	C₂×#137	1	2	yes	—
540	C₄×C₇₃	C₂²×#41	1	1	yes	characteristic
541	C₄×C₇₃	C₂×2₋¹⁺⁴	1	1	yes	characteristic
542	Dic₇₃	—	2	2	no	—
543	Dic₇₃	—	2	1	no	—
544	Dic₇₃	—	4	1	no	—
545	Dic₇₃	—	4	1	no	—
546	Dic₇₃	—	4	2	no	—
547	Dic₇₃	—	4	2	no	—
548	Dic₇₃	—	4	1	no	—
549	Dic₇₃	—	4	1	no	—
550	Dic₇₃	#547	1	2	yes	—
551	Dic₇₃	C₂×#137	1	2	yes	—
552	C₂×#3356	—	73	1	no	maximal, Sylow
553	C₂×C₇₃	—	4	2	no	—
554	C₂×C₇₃	C₂×#547	1	1	yes	characteristic
555	C₂×C₇₃	C₂²×#137	1	1	yes	characteristic
556	C₂×C₇₃	C₂×#577	1	1	yes	characteristic
557	D₇₃	—	4	2	no	—
558	D₇₃	#3356	1	4	yes	direct product factor
559	C₂×#556	—	73	1	no	—
560	C₂×#554	—	73	1	no	—
561	#3356	—	73	1	no	—
562	#3356	—	73	2	no	—
563	#3356	—	73	2	no	—
564	#3356	—	73	1	no	—
565	#3356	—	73	1	no	—
566	#3356	—	73	2	no	—
567	#3356	—	73	1	no	—
568	#3356	—	73	1	no	—
569	#3356	—	73	2	no	—
570	#3356	—	73	1	no	—
571	#3356	—	73	1	no	—
572	#3356	D₇₃	1	1	yes	characteristic, direct product factor
573	C₂×#498	—	73	1	no	—
574	C₂×#485	—	73	2	no	—
575	C₂×#483	—	73	2	no	—
576	C₂×#477	—	73	1	no	—
577	C₂×#475	—	73	1	no	—
578	C₂×#470	—	73	2	no	—
579	C₂×C₄×Q₁₆	—	73	1	no	—
580	C₂×#436	—	73	1	no	—
581	C₂×#428	—	73	2	no	—
582	C₇₃	C₂×#3356	1	1	yes	characteristic, complemented, Sylow
583	C₂²×Q₁₆	—	73	1	no	—
584	C₂²×M₁₆	—	73	2	no	—
585	#556	—	73	1	no	—
586	#556	—	73	2	no	—
587	#556	—	73	1	no	—
588	#556	—	73	1	no	—
589	#556	—	73	2	no	—
590	#556	—	146	1	no	—
591	#556	—	146	1	no	—
592	#556	—	146	2	no	—
593	#556	C₂×D₇₃	1	1	yes	characteristic
594	#554	—	73	1	no	—
595	#554	—	73	2	no	—
596	#554	—	73	1	no	—
597	#554	—	73	1	no	—
598	#554	—	73	2	no	—
599	#554	—	146	1	no	—
600	#554	—	146	2	no	—
601	#554	—	146	1	no	—
602	#554	C₂×D₇₃	1	1	yes	characteristic
603	C₂×C₄⋊Q₈	—	73	1	no	—
604	C₂×C₄⋊Q₈	—	73	1	no	—
605	C₂×#126	—	146	2	no	—
606	C₂×#125	—	146	1	no	—
607	C₂×#124	—	146	1	no	—
608	C₂×C₂²⋊Q₈	—	73	2	no	—
609	C₂×C₂²⋊Q₈	—	73	2	no	—
610	C₂×C₂²⋊Q₈	—	146	2	no	—
611	C₂×C₄×Q₈	—	73	1	no	—
612	C₂×C₄×Q₈	—	73	1	no	—
613	C₂×C₄×Q₈	—	146	1	no	—
614	C₂×C₄×D₄	—	73	1	no	—
615	C₂×C₄×D₄	—	146	1	no	—
616	C₂×#117	—	73	2	no	—
617	C₂²×C₄⋊C₄	—	73	2	no	—
618	#498	—	73	1	no	—
619	#498	—	73	1	no	—
620	#498	—	73	2	no	—
621	#498	—	73	2	no	—
622	#498	—	73	1	no	—
623	#498	C₂×D₇₃	1	1	yes	characteristic, complemented
624	#485	—	73	2	no	—
625	#485	—	73	2	no	—
626	#485	—	73	2	no	—
627	#485	—	73	2	no	—
628	#485	—	73	2	no	—
629	#485	—	73	2	no	—
630	#485	—	73	2	no	—
631	#485	C₂×D₇₃	1	2	yes	complemented
632	#483	—	73	2	no	—
633	#483	—	73	2	no	—
634	#483	—	73	2	no	—
635	#483	—	73	2	no	—
636	#483	—	73	2	no	—
637	#483	—	73	2	no	—
638	#483	—	73	2	no	—
639	#483	C₂×D₇₃	1	2	yes	complemented
640	#477	—	73	1	no	—
641	#477	—	73	1	no	—
642	#477	—	73	2	no	—
643	#477	—	73	1	no	—
644	#477	—	73	2	no	—
645	#477	C₂×D₇₃	1	1	yes	characteristic, complemented
646	#475	—	73	1	no	—
647	#475	—	73	1	no	—
648	#475	—	73	2	no	—
649	#475	—	73	1	no	—
650	#475	—	73	2	no	—
651	#475	C₂×D₇₃	1	1	yes	characteristic, complemented
652	#470	—	73	2	no	—
653	#470	—	73	2	no	—
654	#470	—	73	2	no	—
655	#470	—	73	2	no	—
656	#470	—	73	2	no	—
657	#470	—	73	2	no	—
658	#470	—	73	2	no	—
659	#470	C₂×D₇₃	1	2	yes	complemented
660	C₄×Q₁₆	—	73	1	no	—
661	C₄×Q₁₆	—	73	1	no	—
662	C₄×Q₁₆	—	73	1	no	—
663	C₄×Q₁₆	—	73	1	no	—
664	C₄×Q₁₆	—	73	1	no	—
665	C₄×Q₁₆	—	73	1	no	—
666	C₄×Q₁₆	—	73	1	no	—
667	C₄×Q₁₆	C₂×D₇₃	1	1	yes	characteristic, complemented
668	#436	—	73	2	no	—
669	#436	—	73	1	no	—
670	#436	—	73	1	no	—
671	#436	—	73	2	no	—
672	#436	—	73	1	no	—
673	#436	C₂×D₇₃	1	1	yes	characteristic
674	#428	—	73	2	no	—
675	#428	—	73	2	no	—
676	#428	—	73	2	no	—
677	#428	—	73	2	no	—
678	#428	—	73	2	no	—
679	#428	—	73	2	no	—
680	#428	—	73	2	no	—
681	#428	C₂×D₇₃	1	2	yes	complemented
682	C₂×#107	—	73	2	no	—
683	C₂×#107	—	73	1	no	—
684	C₂×#106	—	73	2	no	—
685	C₂×#106	—	73	2	no	—
686	C₂×#106	—	73	2	no	—
687	C₂×C₄⋊C₈	—	73	1	no	—
688	C₂×#103	—	73	2	no	—
689	C₂×#103	—	73	2	no	—
690	C₂×#103	—	73	1	no	—
691	C₂×#103	—	73	1	no	—
692	C₂×C₂²⋊C₈	—	73	2	no	—
693	C₂×C₄×C₈	—	73	1	no	—
694	C₂²×Q₈	—	73	1	no	—
695	C₂²×Q₈	—	73	1	no	—
696	C₂²×Q₈	—	146	1	no	—
697	C₂²×Q₈	—	146	1	no	—
698	C₂²×D₄	—	73	1	no	—
699	C₂³×C₄	—	73	2	no	—
700	C₂³×C₄	—	146	2	no	—
701	C₂×Q₁₆	—	73	1	no	—
702	C₂×Q₁₆	—	73	1	no	—
703	C₂×Q₁₆	—	73	1	no	—
704	C₂×Q₁₆	—	146	4	no	—
705	C₂×Q₁₆	C₂²×D₇₃	1	1	yes	characteristic
706	C₂×M₁₆	—	73	2	no	—
707	C₂×M₁₆	—	73	2	no	—
708	C₂×M₁₆	—	73	2	no	—
709	C₂×M₁₆	—	146	8	no	—
710	C₂×M₁₆	C₂²×D₇₃	1	2	yes	—
711	C₂²×C₈	—	73	1	no	—
712	C₂²×C₈	—	73	2	no	—
713	C₂²×C₈	—	73	1	no	—
714	C₄⋊Q₈	—	73	2	no	—
715	C₄⋊Q₈	—	73	2	no	—
716	C₄⋊Q₈	—	73	1	no	—
717	C₄⋊Q₈	—	73	1	no	—
718	C₄⋊Q₈	—	146	1	no	—
719	C₄⋊Q₈	—	146	1	no	—
720	C₄⋊Q₈	—	146	1	no	—
721	C₄⋊Q₈	—	146	1	no	—
722	C₄⋊Q₈	C₂²×D₇₃	1	1	yes	characteristic
723	C₄⋊Q₈	C₂²×D₇₃	1	1	yes	characteristic
724	#126	—	2	2	no	—
725	#126	—	146	2	no	—
726	#126	—	146	2	no	—
727	#126	—	146	2	no	—
728	#126	—	146	2	no	—
729	#126	—	146	2	no	—
730	#126	—	146	2	no	—
731	#126	—	146	2	no	—
732	#125	—	2	1	no	—
733	#125	—	146	1	no	—
734	#125	—	146	2	no	—
735	#125	—	146	2	no	—
736	#125	—	146	1	no	—
737	#125	—	146	1	no	—
738	#124	—	2	1	no	—
739	#124	—	146	1	no	—
740	#124	—	146	2	no	—
741	#124	—	146	2	no	—
742	#124	—	146	1	no	—
743	#124	—	146	1	no	—
744	C₂²⋊Q₈	—	2	2	no	—
745	C₂²⋊Q₈	—	73	2	no	—
746	C₂²⋊Q₈	—	73	2	no	—
747	C₂²⋊Q₈	—	73	2	no	—
748	C₂²⋊Q₈	—	73	2	no	—
749	C₂²⋊Q₈	—	73	2	no	—
750	C₂²⋊Q₈	—	73	2	no	—
751	C₂²⋊Q₈	—	146	2	no	—
752	C₂²⋊Q₈	—	146	2	no	—
753	C₂²⋊Q₈	—	146	2	no	—
754	C₂²⋊Q₈	—	146	2	no	—
755	C₂²⋊Q₈	—	146	2	no	—
756	C₂²⋊Q₈	—	146	2	no	—
757	C₂²⋊Q₈	—	146	2	no	—
758	C₂²⋊Q₈	—	146	2	no	—
759	C₂²⋊Q₈	—	146	2	no	—
760	C₂²⋊Q₈	—	146	2	no	—
761	C₂²⋊Q₈	—	146	2	no	—
762	C₂²⋊Q₈	C₂²×D₇₃	1	2	yes	—
763	C₂²⋊Q₈	C₂²×D₇₃	1	2	yes	—
764	C₄×Q₈	—	2	1	no	—
765	C₄×Q₈	—	73	1	no	—
766	C₄×Q₈	—	73	1	no	—
767	C₄×Q₈	—	73	1	no	—
768	C₄×Q₈	—	73	1	no	—
769	C₄×Q₈	—	73	1	no	—
770	C₄×Q₈	—	73	1	no	—
771	C₄×Q₈	—	146	1	no	—
772	C₄×Q₈	—	146	1	no	—
773	C₄×Q₈	—	146	2	no	—
774	C₄×Q₈	—	146	1	no	—
775	C₄×Q₈	—	146	1	no	—
776	C₄×Q₈	—	146	1	no	—
777	C₄×Q₈	—	146	2	no	—
778	C₄×Q₈	—	146	1	no	—
779	C₄×Q₈	—	146	1	no	—
780	C₄×Q₈	C₂²×D₇₃	1	1	yes	characteristic
781	C₄×Q₈	C₂²×D₇₃	1	1	yes	characteristic
782	C₄×D₄	—	2	1	no	—
783	C₄×D₄	—	73	1	no	—
784	C₄×D₄	—	73	2	no	—
785	C₄×D₄	—	73	1	no	—
786	C₄×D₄	—	73	2	no	—
787	C₄×D₄	—	73	1	no	—
788	C₄×D₄	—	146	1	no	—
789	C₄×D₄	—	146	2	no	—
790	C₄×D₄	—	146	1	no	—
791	C₄×D₄	—	146	2	no	—
792	C₄×D₄	—	146	1	no	—
793	C₄×D₄	C₂²×D₇₃	1	1	yes	characteristic
794	#117	—	73	2	no	—
795	#117	—	73	2	no	—
796	#117	—	73	2	no	—
797	#117	—	146	2	no	—
798	#117	—	146	2	no	—
799	#117	C₂²×D₇₃	1	2	yes	—
800	C₂×C₄⋊C₄	—	73	1	no	—
801	C₂×C₄⋊C₄	—	73	2	no	—
802	C₂×C₄⋊C₄	—	73	1	no	—
803	C₂×C₄⋊C₄	—	73	2	no	—
804	C₂×C₄⋊C₄	—	73	2	no	—
805	C₂×C₄⋊C₄	—	73	2	no	—
806	C₂×C₄⋊C₄	—	73	1	no	—
807	C₂×C₄⋊C₄	—	73	2	no	—
808	C₂×C₄⋊C₄	—	146	2	no	—
809	C₂×C₄⋊C₄	—	146	2	no	—
810	C₂×C₄⋊C₄	—	146	1	no	—
811	C₂×C₄⋊C₄	—	146	1	no	—
812	C₂×C₄⋊C₄	—	146	1	no	—
813	C₂×C₄⋊C₄	—	146	2	no	—
814	C₂×C₄⋊C₄	—	146	2	no	—
815	C₂×C₄⋊C₄	—	146	1	no	—
816	C₂×C₄⋊C₄	—	146	2	no	—
817	C₂×C₄⋊C₄	C₂²×D₇₃	1	2	yes	—
818	C₂×C₂²⋊C₄	—	73	2	no	—
819	C₂×C₂²⋊C₄	—	146	2	no	—
820	C₂×C₂²⋊C₄	—	146	2	no	—
821	C₂×C₂²⋊C₄	—	146	2	no	—
822	C₂×C₄²	—	73	1	no	—
823	C₂×C₄²	—	146	2	no	—
824	C₂×C₄²	—	146	1	no	—
825	C₂×C₄²	—	146	1	no	—
826	#107	—	73	1	no	—
827	#107	—	73	2	no	—
828	#107	—	73	1	no	—
829	#107	—	73	1	no	—
830	#107	—	73	2	no	—
831	#107	—	73	2	no	—
832	#107	C₂²×D₇₃	1	1	yes	characteristic
833	#107	C₂²×D₇₃	1	2	yes	—
834	#106	—	73	2	no	—
835	#106	—	73	2	no	—
836	#106	—	73	2	no	—
837	#106	—	73	2	no	—
838	#106	—	73	2	no	—
839	#106	—	73	2	no	—
840	#106	—	73	2	no	—
841	#106	—	73	2	no	—
842	#106	—	73	2	no	—
843	#106	C₂²×D₇₃	1	2	yes	—
844	#106	C₂²×D₇₃	1	2	yes	—
845	#106	C₂²×D₇₃	1	2	yes	—
846	C₄⋊C₈	—	73	2	no	—
847	C₄⋊C₈	—	73	1	no	—
848	C₄⋊C₈	C₂²×D₇₃	1	1	yes	characteristic
849	#103	—	73	1	no	—
850	#103	—	73	1	no	—
851	#103	—	73	2	no	—
852	#103	—	73	2	no	—
853	#103	—	73	1	no	—
854	#103	—	73	1	no	—
855	#103	—	73	2	no	—
856	#103	—	73	2	no	—
857	#103	—	73	1	no	—
858	#103	—	73	1	no	—
859	#103	—	73	2	no	—
860	#103	—	73	2	no	—
861	#103	C₂²×D₇₃	1	1	yes	characteristic
862	#103	C₂²×D₇₃	1	1	yes	characteristic
863	#103	C₂²×D₇₃	1	2	yes	—
864	#103	C₂²×D₇₃	1	2	yes	—
865	C₂²⋊C₈	—	73	2	no	—
866	C₂²⋊C₈	—	73	2	no	—
867	C₂²⋊C₈	—	73	2	no	—
868	C₂²⋊C₈	C₂²×D₇₃	1	2	yes	—
869	C₄×C₈	—	73	1	no	—
870	C₄×C₈	—	73	1	no	—
871	C₄×C₈	—	73	1	no	—
872	C₄×C₈	C₂²×D₇₃	1	1	yes	characteristic
873	C₂⁴	—	73	2	no	—
874	C₂×Q₈	—	2	1	no	—
875	C₂×Q₈	—	2	1	no	—
876	C₂×Q₈	—	292	4	no	—
877	C₂×Q₈	—	584	2	no	—
878	C₂×Q₈	—	73	1	no	—
879	C₂×Q₈	—	73	1	no	—
880	C₂×Q₈	—	146	1	no	—
881	C₂×Q₈	—	146	1	no	—
882	C₂×Q₈	—	146	2	no	—
883	C₂×Q₈	—	146	2	no	—
884	C₂×Q₈	—	146	2	no	—
885	C₂×Q₈	—	146	2	no	—
886	C₂×Q₈	—	146	2	no	—
887	C₂×Q₈	—	146	2	no	—
888	C₂×Q₈	—	146	1	no	—
889	C₂×Q₈	—	146	1	no	—
890	C₂×Q₈	C₂³×D₇₃	1	1	yes	characteristic
891	C₂×Q₈	C₂³×D₇₃	1	1	yes	characteristic
892	C₂×D₄	—	73	2	no	—
893	C₂×D₄	—	73	1	no	—
894	C₂×D₄	—	146	4	no	—
895	C₂×D₄	D₄×D₇₃	1	1	yes	characteristic
896	C₂²×C₄	—	2	2	no	—
897	C₂²×C₄	—	584	4	no	—
898	C₂²×C₄	—	73	1	no	—
899	C₂²×C₄	—	73	1	no	—
900	C₂²×C₄	—	73	2	no	—
901	C₂²×C₄	—	73	1	no	—
902	C₂²×C₄	—	73	2	no	—
903	C₂²×C₄	—	73	2	no	—
904	C₂²×C₄	—	73	2	no	—
905	C₂²×C₄	—	146	1	no	—
906	C₂²×C₄	—	146	2	no	—
907	C₂²×C₄	—	146	1	no	—
908	C₂²×C₄	—	146	1	no	—
909	C₂²×C₄	—	146	1	no	—
910	C₂²×C₄	—	146	2	no	—
911	C₂²×C₄	—	146	2	no	—
912	C₂²×C₄	—	146	2	no	—
913	C₂²×C₄	—	146	4	no	—
914	C₂²×C₄	—	146	4	no	—
915	C₂²×C₄	—	146	2	no	—
916	C₂²×C₄	C₂³×D₇₃	1	2	yes	—
917	Q₁₆	—	2	2	no	—
918	Q₁₆	—	146	2	no	—
919	Q₁₆	—	146	2	no	—
920	Q₁₆	—	146	2	no	—
921	M₁₆	—	2	4	no	—
922	M₁₆	—	146	4	no	—
923	M₁₆	—	146	4	no	—
924	M₁₆	—	146	4	no	—
925	C₂×C₈	—	73	1	no	—
926	C₂×C₈	—	73	4	no	—
927	C₂×C₈	—	73	1	no	—
928	C₂×C₈	—	73	2	no	—
929	C₂×C₈	—	146	2	no	—
930	C₂×C₈	—	146	4	no	—
931	C₂×C₈	C₂³×D₇₃	1	1	yes	characteristic
932	C₂×C₈	C₂³×D₇₃	1	2	yes	—
933	C₂×C₈	C₂³×D₇₃	1	1	yes	characteristic
934	C₄⋊C₄	—	2	2	no	—
935	C₄⋊C₄	—	2	1	no	—
936	C₄⋊C₄	—	2	2	no	—
937	C₄⋊C₄	—	2	1	no	—
938	C₄⋊C₄	—	2	1	no	—
939	C₄⋊C₄	—	2	2	no	—
940	C₄⋊C₄	—	2	1	no	—
941	C₄⋊C₄	—	73	2	no	—
942	C₄⋊C₄	—	73	1	no	—
943	C₄⋊C₄	—	73	2	no	—
944	C₄⋊C₄	—	73	1	no	—
945	C₄⋊C₄	—	73	2	no	—
946	C₄⋊C₄	—	73	1	no	—
947	C₄⋊C₄	—	146	1	no	—
948	C₄⋊C₄	—	146	2	no	—
949	C₄⋊C₄	—	146	2	no	—
950	C₄⋊C₄	—	146	2	no	—
951	C₄⋊C₄	—	146	1	no	—
952	C₄⋊C₄	—	146	2	no	—
953	C₄⋊C₄	—	146	2	no	—
954	C₄⋊C₄	—	146	1	no	—
955	C₄⋊C₄	—	146	1	no	—
956	C₄⋊C₄	—	146	2	no	—
957	C₄⋊C₄	—	146	2	no	—
958	C₄⋊C₄	—	146	2	no	—
959	C₄⋊C₄	—	146	1	no	—
960	C₄⋊C₄	—	146	1	no	—
961	C₄⋊C₄	—	146	2	no	—
962	C₄⋊C₄	—	146	2	no	—
963	C₄⋊C₄	—	146	1	no	—
964	C₄⋊C₄	—	146	1	no	—
965	C₄⋊C₄	—	146	2	no	—
966	C₄⋊C₄	—	146	2	no	—
967	C₄⋊C₄	—	146	2	no	—
968	C₄⋊C₄	—	146	1	no	—
969	C₄⋊C₄	—	146	1	no	—
970	C₄⋊C₄	D₄×D₇₃	1	1	yes	characteristic
971	C₄⋊C₄	C₂³×D₇₃	1	2	yes	—
972	C₄⋊C₄	C₂³×D₇₃	1	1	yes	characteristic
973	C₄⋊C₄	C₂³×D₇₃	1	2	yes	—
974	C₄⋊C₄	C₂³×D₇₃	1	1	yes	characteristic
975	C₂²⋊C₄	—	2	2	no	—
976	C₂²⋊C₄	—	2	2	no	—
977	C₂²⋊C₄	—	2	2	no	—
978	C₂²⋊C₄	—	73	2	no	—
979	C₂²⋊C₄	—	73	2	no	—
980	C₂²⋊C₄	—	73	2	no	—
981	C₂²⋊C₄	—	146	2	no	—
982	C₂²⋊C₄	—	146	2	no	—
983	C₂²⋊C₄	—	146	2	no	—
984	C₂²⋊C₄	—	146	2	no	—
985	C₂²⋊C₄	—	146	2	no	—
986	C₂²⋊C₄	—	146	2	no	—
987	C₂²⋊C₄	—	146	2	no	—
988	C₂²⋊C₄	—	146	2	no	—
989	C₂²⋊C₄	—	146	2	no	—
990	C₂²⋊C₄	D₄×D₇₃	1	2	yes	—
991	C₄²	—	2	2	no	—
992	C₄²	—	2	1	no	—
993	C₄²	—	2	1	no	—
994	C₄²	—	73	1	no	—
995	C₄²	—	73	1	no	—
996	C₄²	—	73	1	no	—
997	C₄²	—	146	2	no	—
998	C₄²	—	146	2	no	—
999	C₄²	—	146	1	no	—
1000	C₄²	—	146	1	no	—
1001	C₄²	—	146	1	no	—
1002	C₄²	—	146	1	no	—
1003	C₄²	—	146	2	no	—
1004	C₄²	—	146	1	no	—
1005	C₄²	—	146	1	no	—
1006	C₄²	C₂³×D₇₃	1	1	yes	characteristic
1007	C₂³	—	73	1	no	—
1008	C₂³	—	73	2	no	—
1009	C₂³	—	146	4	no	—
1010	C₂³	—	146	4	no	—
1011	C₂³	—	146	4	no	—
1012	C₂³	C₂×D₄×D₇₃	1	2	yes	—
1013	Q₈	—	2	1	no	—
1014	Q₈	—	2	1	no	—
1015	Q₈	—	2	1	no	—
1016	Q₈	—	2	1	no	—
1017	Q₈	—	4	2	no	—
1018	Q₈	—	8	1	no	—
1019	Q₈	—	292	4	no	—
1020	Q₈	—	292	2	no	—
1021	Q₈	—	292	2	no	—
1022	Q₈	—	292	2	no	—
1023	Q₈	—	584	1	no	—
1024	Q₈	—	584	2	no	—
1025	Q₈	—	146	1	no	—
1026	Q₈	—	146	1	no	—
1027	Q₈	—	146	1	no	—
1028	Q₈	—	146	1	no	—
1029	D₄	—	2	2	no	—
1030	D₄	—	146	4	no	—
1031	D₄	—	146	2	no	—
1032	C₂×C₄	—	2	2	no	—
1033	C₂×C₄	—	2	2	no	—
1034	C₂×C₄	—	2	1	no	—
1035	C₂×C₄	—	2	1	no	—
1036	C₂×C₄	—	2	1	no	—
1037	C₂×C₄	—	2	2	no	—
1038	C₂×C₄	—	2	1	no	—
1039	C₂×C₄	—	2	2	no	—
1040	C₂×C₄	—	8	2	no	—
1041	C₂×C₄	—	292	2	no	—
1042	C₂×C₄	—	292	4	no	—
1043	C₂×C₄	—	292	4	no	—
1044	C₂×C₄	—	292	2	no	—
1045	C₂×C₄	—	292	2	no	—
1046	C₂×C₄	—	292	2	no	—
1047	C₂×C₄	—	584	2	no	—
1048	C₂×C₄	—	584	2	no	—
1049	C₂×C₄	—	584	2	no	—
1050	C₂×C₄	—	73	1	no	—
1051	C₂×C₄	—	73	1	no	—
1052	C₂×C₄	—	73	4	no	—
1053	C₂×C₄	—	73	2	no	—
1054	C₂×C₄	—	73	2	no	—
1055	C₂×C₄	—	73	1	no	—
1056	C₂×C₄	—	73	2	no	—
1057	C₂×C₄	—	146	4	no	—
1058	C₂×C₄	—	146	4	no	—
1059	C₂×C₄	—	146	2	no	—
1060	C₂×C₄	—	146	1	no	—
1061	C₂×C₄	—	146	2	no	—
1062	C₂×C₄	—	146	1	no	—
1063	C₂×C₄	—	146	1	no	—
1064	C₂×C₄	—	146	1	no	—
1065	C₂×C₄	—	146	2	no	—
1066	C₂×C₄	—	146	4	no	—
1067	C₂×C₄	—	146	2	no	—
1068	C₂×C₄	—	146	2	no	—
1069	C₂×C₄	C₂×D₄×D₇₃	1	2	yes	—
1070	C₂×C₄	C₂×D₄×D₇₃	1	1	yes	characteristic
1071	C₂×C₄	C₂×D₄×D₇₃	1	1	yes	characteristic
1072	C₂×C₄	C₂⁴×D₇₃	1	1	yes	characteristic
1073	C₈	—	2	2	no	—
1074	C₈	—	2	1	no	—
1075	C₈	—	73	2	no	—
1076	C₈	—	146	2	no	—
1077	C₈	—	146	1	no	—
1078	C₈	#41×D₇₃	1	2	yes	—
1079	C₂²	—	2	2	no	—
1080	C₂²	—	2	2	no	—
1081	C₂²	—	2	2	no	—
1082	C₂²	—	292	8	no	—
1083	C₂²	—	73	2	no	—
1084	C₂²	—	73	2	no	—
1085	C₂²	—	73	2	no	—
1086	C₂²	—	146	2	no	—
1087	C₂²	—	146	2	no	—
1088	C₂²	—	146	2	no	—
1089	C₂²	C₂²×D₄×D₇₃	1	1	yes	characteristic
1090	C₄	—	2	2	no	—
1091	C₄	—	2	1	no	—
1092	C₄	—	4	1	no	—
1093	C₄	—	4	1	no	—
1094	C₄	—	4	2	no	—
1095	C₄	—	4	1	no	—
1096	C₄	—	4	2	no	—
1097	C₄	—	4	1	no	—
1098	C₄	—	292	1	no	—
1099	C₄	—	292	1	no	—
1100	C₄	—	292	2	no	—
1101	C₄	—	292	1	no	—
1102	C₄	—	292	2	no	—
1103	C₄	—	292	1	no	—
1104	C₄	—	73	2	no	—
1105	C₄	—	73	2	no	—
1106	C₄	—	146	2	no	—
1107	C₄	—	146	1	no	—
1108	C₄	#137×D₇₃	1	2	yes	—
1109	C₄	C₂×#41×D₇₃	1	1	yes	characteristic
1110	C₄	2₋¹⁺⁴×D₇₃	1	1	yes	characteristic
1111	C₂	—	4	2	no	—
1112	C₂	—	292	2	no	—
1113	C₂	—	73	4	no	—
1114	C₂	#547×D₇₃	1	1	yes	characteristic
1115	C₂	C₂×#137×D₇₃	1	1	yes	characteristic
1116	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×#3356	C₂
socle	C₂²×C₇₃	C₂³×D₄
prime radical	C₂×D₄×D₇₃	D₄
hypercenter	#3356	D₇₃
hypocenter	C₇₃	C₂×#3356
LCS	G ▷ C₂×C₄×C₇₃ ▷ C₂×C₇₃ ▷ C₇₃
UCS	C₁ ◁ C₂² ◁ C₄×D₄ ◁ #3356

Complements

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

N	H ≅ G/N	type
3. #22622549	C₂	semidirect
4. #22622548	C₂	semidirect
5. #22622547	C₂	semidirect
6. #22622546	C₂	semidirect
7. #22622545	C₂	semidirect
8. #22622544	C₂	semidirect
9. #22622543	C₂	semidirect
10. #22622542	C₂	semidirect
11. #22622541	C₂	semidirect
12. #22622540	C₂	semidirect
13. #22622539	C₂	semidirect
14. #498×D₇₃	C₂	semidirect
15. #485×D₇₃	C₂	semidirect
16. #483×D₇₃	C₂	semidirect
17. #477×D₇₃	C₂	semidirect
18. #475×D₇₃	C₂	semidirect
19. #470×D₇₃	C₂	semidirect
20. C₄×Q₁₆×D₇₃	C₂	semidirect
22. #428×D₇₃	C₂	semidirect
23. C₇₃×#3356	C₂	semidirect
57. #17988985	C₂²	semidirect
58. #17988984	C₂²	semidirect
59. #17988984	C₂²	semidirect
60. #17988983	C₂²	semidirect
61. #17988983	C₂²	semidirect
62. #17988931	C₂²	semidirect
63. #17988930	C₂²	semidirect
64. #17988929	C₂²	semidirect
65. #17988928	C₂²	semidirect
66. #17988927	C₂²	semidirect
67. #17988926	C₂²	semidirect
68. #17988925	C₂²	semidirect
69. #17988919	C₂²	semidirect
70. #17988919	C₂²	semidirect
71. #17988918	C₂²	semidirect
72. #17988917	C₂²	semidirect
73. #17988916	C₂²	semidirect
74. #17988916	C₂²	semidirect
75. #17988915	C₂²	semidirect
76. #17988883	C₂²	semidirect
77. #17988882	C₂²	semidirect
78. #17988881	C₂²	semidirect
79. #17988880	C₂²	semidirect
80. #17988879	C₂²	semidirect
81. #17988873	C₂²	semidirect
82. #17988872	C₂²	semidirect
83. #17988871	C₂²	semidirect
84. #17988870	C₂²	semidirect
85. #17988869	C₂²	semidirect
86. #17988846	C₂²	semidirect
87. #17988845	C₂²	semidirect
88. #17988844	C₂²	semidirect
89. #17988844	C₂²	semidirect
90. #17988843	C₂²	semidirect
91. #17988843	C₂²	semidirect
92. #17988842	C₂²	semidirect
93. C₄×Dic₂₉₂	C₂²	semidirect
94. Q₁₆×Dic₇₃	C₂²	semidirect
95. #17988681	C₂²	semidirect
96. C₄×#11924018	C₂²	semidirect
97. C₄×#11924018	C₂²	semidirect
98. #17988679	C₂²	semidirect
99. #17988679	C₂²	semidirect
105. #17988630	C₂²	semidirect
106. #17988629	C₂²	semidirect
107. #17988628	C₂²	semidirect
108. #17988628	C₂²	semidirect
109. #17988627	C₂²	semidirect
110. #17988626	C₂²	semidirect
111. #17988626	C₂²	semidirect
126. #498×C₇₃	C₂²	semidirect
127. #485×C₇₃	C₂²	semidirect
128. #483×C₇₃	C₂²	semidirect
129. #477×C₇₃	C₂²	semidirect
130. #475×C₇₃	C₂²	semidirect
131. #470×C₇₃	C₂²	semidirect
132. C₄×Q₁₆×C₇₃	C₂²	semidirect
134. #428×C₇₃	C₂²	semidirect
558. D₇₃	#3356	direct (N × H)
572. #3356	D₇₃	direct (N × H)
582. C₇₃	C₂×#3356	semidirect
623. #498	C₂×D₇₃	semidirect
631. #485	C₂×D₇₃	semidirect
639. #483	C₂×D₇₃	semidirect
645. #477	C₂×D₇₃	semidirect
651. #475	C₂×D₇₃	semidirect
659. #470	C₂×D₇₃	semidirect
667. C₄×Q₁₆	C₂×D₇₃	semidirect
681. #428	C₂×D₇₃	semidirect

Maximal subgroups

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

subgroup	index
#556×D₇₃	2
#554×D₇₃	2
#22622549	2
#22622548	2
#22622547	2
#22622546	2
#22622545	2
#22622544	2
#22622543	2
#22622542	2
#22622541	2
#22622540	2
#22622539	2
#498×D₇₃	2
#485×D₇₃	2
#483×D₇₃	2
#477×D₇₃	2
#475×D₇₃	2
#470×D₇₃	2
C₄×Q₁₆×D₇₃	2
#436×D₇₃	2
#428×D₇₃	2
C₇₃×#3356	2
C₂×#3356	73

Subgroups — #3356×D73 #33964714

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — #3356×D₇₃ #33964714