Subgroups — #33970673

Order 18688.

2574 conjugacy classes of subgroups.

The subgroup lattice has 1300 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#22623726	C₂	1	1	yes	maximal, characteristic, complemented
2	D₄²×D₇₃	C₂	1	1	yes	maximal, characteristic
3	#22621758	C₂	1	1	yes	maximal, characteristic, complemented
4	#22621757	C₂	1	1	yes	maximal, characteristic, complemented
5	#22621756	C₂	1	1	yes	maximal, characteristic, complemented
6	#22621755	C₂	1	1	yes	maximal, characteristic, complemented
7	#22621750	C₂	1	2	yes	maximal, complemented
8	#22621748	C₂	1	2	yes	maximal, complemented
9	#22621630	C₂	1	1	yes	maximal, characteristic, complemented
10	D₄×#11924015	C₂	1	1	yes	maximal, characteristic, complemented
11	#22621626	C₂	1	1	yes	maximal, characteristic, complemented
12	SD₁₆×C₂²⋊D₇₃	C₂	1	2	yes	maximal, complemented
13	#22621620	C₂	1	2	yes	maximal, complemented
14	#22620871	C₂	1	1	yes	maximal, characteristic, complemented
15	#22620868	C₂	1	1	yes	maximal, characteristic, complemented
16	#22620686	C₂	1	2	yes	maximal, complemented
17	#22620683	C₂	1	2	yes	maximal, complemented
18	#22619938	C₂	1	1	yes	maximal, characteristic, complemented
19	#22619937	C₂	1	1	yes	maximal, characteristic, complemented
20	C₂×#17988736	C₂	1	2	yes	maximal, complemented
21	#450×D₇₃	C₂	1	2	yes	maximal, complemented
22	#22618952	C₂	1	1	yes	maximal, characteristic, complemented
23	D₄×SD₁₆×C₇₃	C₂	1	1	yes	maximal, characteristic, complemented
24	C₂²×D₄×D₇₃	—	2	1	no	—
25	C₂²×D₄×D₇₃	C₂²	1	2	yes	—
26	C₂²×#11924015	C₂²	1	2	yes	complemented
27	C₂×SD₁₆×D₇₃	C₂²	1	2	yes	complemented
28	C₂×SD₁₆×D₇₃	C₂²	1	2	yes	complemented
29	#17989298	—	2	1	no	—
30	#17989297	C₂²	1	1	yes	characteristic, complemented
31	#17989296	—	2	1	no	—
32	#17989295	C₂²	1	2	yes	complemented
33	#17989294	C₂²	1	1	yes	characteristic, complemented
34	#17989291	—	2	2	no	—
35	#17989252	C₂²	1	1	yes	characteristic, complemented
36	Q₈×C₂²⋊D₇₃	C₂²	1	2	yes	complemented
37	D₄×D₂₉₂	C₂²	1	1	yes	characteristic
38	D₄×D₂₉₂	C₂²	1	1	yes	characteristic
39	#17989222	C₂²	1	1	yes	characteristic
40	#17989221	—	2	1	no	—
41	#17989221	C₂²	1	2	yes	—
42	D₄×C₂²⋊D₇₃	—	2	1	no	—
43	D₄×C₂²⋊D₇₃	C₂²	1	2	yes	—
44	#17989219	—	2	2	no	—
45	#17989214	—	2	1	no	—
46	#17989212	—	2	2	no	—
47	#17989142	C₂²	1	1	yes	characteristic, complemented
48	#17989141	C₂²	1	1	yes	characteristic, complemented
49	#127×D₇₃	C₂²	1	1	yes	characteristic
50	C₂×#14556567	C₂²	1	2	yes	complemented
51	C₂²⋊Q₈×D₇₃	C₂²	1	2	yes	complemented
52	#121×D₇₃	—	2	1	no	—
53	#121×D₇₃	C₂²	1	2	yes	—
54	#120×D₇₃	—	2	2	no	—
55	#17989059	—	2	1	no	—
56	C₄×D₄×D₇₃	C₂²	1	1	yes	characteristic
57	C₄×D₄×D₇₃	C₂²	1	1	yes	characteristic
58	#17988961	C₂²	1	1	yes	characteristic, complemented
59	#17988958	C₂²	1	2	yes	complemented
60	#17988934	C₂²	1	1	yes	characteristic, complemented
61	#17988933	C₂²	1	1	yes	characteristic, complemented
62	#17988932	C₂²	1	2	yes	complemented
63	#17988919	C₂²	1	1	yes	characteristic, complemented
64	#17988916	C₂²	1	2	yes	complemented
65	#17988916	C₂²	1	1	yes	characteristic, complemented
66	#17988907	C₂²	1	2	yes	complemented
67	#17988906	C₂²	1	2	yes	complemented
68	#17988904	C₂²	1	2	yes	complemented
69	#17988903	C₂²	1	2	yes	complemented
70	#17988878	C₂²	1	1	yes	characteristic, complemented
71	#17988877	C₂²	1	1	yes	characteristic, complemented
72	#17988876	C₂²	1	1	yes	characteristic, complemented
73	#17988875	C₂²	1	1	yes	characteristic, complemented
74	#17988819	C₂²	1	2	yes	complemented
75	#17988819	C₂²	1	2	yes	complemented
76	#17988818	C₂²	1	2	yes	complemented
77	#17988816	C₂²	1	2	yes	complemented
78	#17988814	C₂²	1	2	yes	complemented
79	#17988813	C₂²	1	2	yes	complemented
80	#17988813	C₂²	1	2	yes	complemented
81	#17988791	C₂²	1	1	yes	characteristic, complemented
82	#17988790	C₂²	1	1	yes	characteristic, complemented
83	#17988789	C₂²	1	1	yes	characteristic, complemented
84	#17988788	C₂²	1	1	yes	characteristic, complemented
85	#17988787	C₂²	1	1	yes	characteristic, complemented
86	#17988785	C₂²	1	2	yes	complemented
87	#17988785	C₂²	1	2	yes	complemented
88	#17988784	C₂²	1	1	yes	characteristic, complemented
89	#17988740	C₂²	1	2	yes	complemented
90	#17988739	C₂²	1	1	yes	characteristic
91	#17988739	C₂²	1	2	yes	complemented
92	#17988738	C₂²	1	2	yes	complemented
93	#17988737	C₂²	1	2	yes	complemented
94	#17988736	C₂²	1	1	yes	characteristic
95	#17988736	C₂²	1	2	yes	—
96	#17988736	C₂²	1	2	yes	complemented
97	#17988736	C₂²	1	2	yes	complemented
98	#17988736	C₂²	1	2	yes	complemented
99	#17988736	C₂²	1	2	yes	complemented
100	#17988736	C₂²	1	2	yes	complemented
101	#17988736	C₂²	1	2	yes	complemented
102	#17988736	C₂²	1	2	yes	complemented
103	#17988727	C₂²	1	2	yes	complemented
104	#17988726	C₂²	1	2	yes	complemented
105	#17988724	C₂²	1	2	yes	complemented
106	C₄×#11924017	C₂²	1	1	yes	characteristic, complemented
107	SD₁₆×Dic₇₃	C₂²	1	2	yes	complemented
108	C₄×#11924015	C₂²	1	1	yes	characteristic, complemented
109	C₄×#11924016	C₂²	1	1	yes	characteristic, complemented
110	#17988672	C₂²	1	2	yes	complemented
111	C₈×D₂₉₂	C₂²	1	1	yes	characteristic, complemented
112	D₄×#10596831	C₂²	1	1	yes	characteristic, complemented
113	#17988652	C₂²	1	1	yes	characteristic, complemented
114	C₈×C₂²⋊D₇₃	C₂²	1	2	yes	complemented
115	#17988650	C₂²	1	2	yes	complemented
116	#17988639	C₂²	1	1	yes	characteristic, complemented
117	#17988638	C₂²	1	1	yes	characteristic, complemented
118	C₂×#14556513	C₂²	1	2	yes	complemented
119	C₂×#14556512	C₂²	1	2	yes	complemented
120	#102×D₇₃	C₂²	1	2	yes	complemented
121	#102×D₇₃	C₂²	1	2	yes	complemented
122	C₂×#14556503	C₂²	1	2	yes	complemented
123	C₂²⋊C₈×D₇₃	C₂²	1	2	yes	complemented
124	C₂²×SD₁₆×C₇₃	C₂²	1	2	yes	complemented
125	D₄×Q₈×C₇₃	C₂²	1	1	yes	characteristic, complemented
126	D₄²×C₇₃	C₂²	1	1	yes	characteristic
127	#492×C₇₃	C₂²	1	1	yes	characteristic, complemented
128	#465×C₇₃	C₂²	1	2	yes	complemented
129	#461×C₇₃	C₂²	1	1	yes	characteristic, complemented
130	#460×C₇₃	C₂²	1	1	yes	characteristic, complemented
131	#450×C₇₃	C₂²	1	2	yes	complemented
132	#448×C₇₃	C₂²	1	2	yes	complemented
133	C₄×SD₁₆×C₇₃	C₂²	1	1	yes	characteristic, complemented
134	C₈×D₄×C₇₃	C₂²	1	1	yes	characteristic, complemented
135	C₂⁴×D₇₃	—	2	2	no	—
136	C₂×Q₈×D₇₃	C₂³	1	2	yes	complemented
137	C₂²×D₂₉₂	—	2	1	no	—
138	C₂²×D₂₉₂	C₂³	1	2	yes	—
139	C₂²×C₂²⋊D₇₃	—	2	2	no	—
140	C₂²×C₂²⋊D₇₃	—	2	2	no	—
141	C₂×D₄×D₇₃	—	2	2	no	—
142	C₂×D₄×D₇₃	—	2	1	no	—
143	C₂×D₄×D₇₃	—	2	2	no	—
144	C₂×D₄×D₇₃	—	2	1	no	—
145	C₂×D₄×D₇₃	—	2	2	no	—
146	C₂×D₄×D₇₃	—	2	2	no	—
147	C₂×D₄×D₇₃	—	2	1	no	—
148	C₂×D₄×D₇₃	—	2	1	no	—
149	C₂×D₄×D₇₃	—	4	4	no	—
150	C₂×D₄×D₇₃	—	4	4	no	—
151	C₂×D₄×D₇₃	—	4	8	no	—
152	C₂×D₄×D₇₃	D₄	1	1	yes	characteristic
153	C₂×D₄×D₇₃	C₂³	1	1	yes	characteristic
154	C₂×D₄×D₇₃	C₂³	1	2	yes	—
155	C₂×D₄×D₇₃	C₂³	1	2	yes	—
156	C₂×D₄×D₇₃	C₂³	1	2	yes	—
157	C₂²×C₄×D₇₃	—	2	1	no	—
158	C₂²×C₄×D₇₃	C₂³	1	2	yes	—
159	C₂×#11924017	C₂³	1	1	yes	characteristic
160	C₂×#11924017	C₂³	1	2	yes	complemented
161	C₂×#11924016	C₂³	1	1	yes	characteristic
162	C₂×#11924016	C₂³	1	2	yes	complemented
163	C₂×#11924015	—	4	4	no	—
164	C₂×#11924015	C₂³	1	2	yes	—
165	C₂×#11924015	C₂³	1	1	yes	characteristic
166	C₂×#11924015	C₂³	1	2	yes	complemented
167	C₂×#11924015	C₂³	1	2	yes	complemented
168	C₂×#11924015	C₂³	1	2	yes	complemented
169	SD₁₆×D₇₃	—	4	4	no	—
170	SD₁₆×D₇₃	—	4	4	no	—
171	C₂²×#10596831	C₂³	1	2	yes	complemented
172	C₂×C₈×D₇₃	C₂³	1	2	yes	complemented
173	C₂×C₈×D₇₃	C₂³	1	2	yes	complemented
174	#14556591	C₂³	1	1	yes	characteristic, complemented
175	#14556590	—	2	1	no	—
176	#14556590	C₂³	1	1	yes	characteristic, complemented
177	#14556589	—	2	2	no	—
178	#14556589	C₂³	1	1	yes	characteristic, complemented
179	#14556588	C₂³	1	1	yes	characteristic
180	#14556587	—	2	1	no	—
181	#14556587	—	2	1	no	—
182	#14556587	C₂³	1	2	yes	—
183	#14556583	—	2	1	no	—
184	#14556582	—	2	1	no	—
185	#14556582	—	2	1	no	—
186	#14556581	—	2	2	no	—
187	#14556581	—	2	1	no	—
188	#14556571	—	2	1	no	—
189	#14556571	—	2	2	no	—
190	#14556571	C₂³	1	1	yes	characteristic
191	#14556570	—	2	2	no	—
192	#14556570	C₂³	1	2	yes	complemented
193	#14556569	—	2	1	no	—
194	#14556569	—	2	2	no	—
195	#14556569	—	2	2	no	—
196	#14556569	—	2	2	no	—
197	#14556568	—	2	2	no	—
198	#14556568	—	2	2	no	—
199	#14556568	—	2	2	no	—
200	#14556567	—	2	2	no	—
201	#14556567	—	2	2	no	—
202	#14556567	—	2	2	no	—
203	#14556567	C₂³	1	1	yes	characteristic
204	#14556567	C₂³	1	2	yes	—
205	#14556567	C₂³	1	2	yes	complemented
206	#14556567	C₂³	1	2	yes	complemented
207	#14556566	—	2	1	no	—
208	#14556566	C₂³	1	2	yes	—
209	#14556565	—	2	1	no	—
210	#14556565	C₂³	1	2	yes	—
211	#14556564	—	2	2	no	—
212	#14556564	—	2	2	no	—
213	#14556563	—	2	2	no	—
214	#14556563	—	2	2	no	—
215	#14556562	—	2	1	no	—
216	#14556562	C₂³	1	2	yes	—
217	#14556561	—	2	2	no	—
218	#14556561	—	2	2	no	—
219	#14556561	—	2	2	no	—
220	#14556560	—	2	2	no	—
221	#14556559	—	2	2	no	—
222	#14556559	—	2	2	no	—
223	#14556559	—	2	2	no	—
224	Q₈×Dic₇₃	C₂³	1	2	yes	complemented
225	C₄×Dic₁₄₆	—	2	1	no	—
226	C₄×Dic₁₄₆	C₂³	1	1	yes	characteristic, complemented
227	#14556556	—	2	1	no	—
228	C₄×D₂₉₂	—	2	1	no	—
229	C₄×D₂₉₂	C₂³	1	1	yes	characteristic
230	C₄×D₂₉₂	C₂³	1	1	yes	characteristic
231	D₄×Dic₇₃	—	2	1	no	—
232	D₄×Dic₇₃	D₄	1	1	yes	characteristic
233	D₄×Dic₇₃	C₂³	1	1	yes	characteristic
234	#14556553	—	2	1	no	—
235	#14556553	D₄	1	1	yes	characteristic
236	#14556553	C₂³	1	1	yes	characteristic
237	C₄×C₂²⋊D₇₃	—	2	2	no	—
238	C₄×C₂²⋊D₇₃	—	2	1	no	—
239	C₄×C₂²⋊D₇₃	C₂³	1	2	yes	—
240	#14556551	—	2	2	no	—
241	#14556551	—	2	1	no	—
242	#14556551	D₄	1	2	yes	—
243	#14556549	—	2	1	no	—
244	#14556548	—	2	1	no	—
245	C₂×C₄⋊Dic₇₃	C₂³	1	2	yes	complemented
246	C₂×#11924007	—	2	2	no	—
247	C₄⋊C₄×D₇₃	—	2	2	no	—
248	C₄⋊C₄×D₇₃	D₄	1	1	yes	characteristic
249	C₄⋊C₄×D₇₃	C₂³	1	1	yes	characteristic
250	C₄⋊C₄×D₇₃	C₂³	1	2	yes	complemented
251	C₂×#11924005	—	2	2	no	—
252	C₂²⋊C₄×D₇₃	—	2	2	no	—
253	C₂²⋊C₄×D₇₃	—	2	1	no	—
254	C₂²⋊C₄×D₇₃	—	2	2	no	—
255	C₂²⋊C₄×D₇₃	D₄	1	2	yes	—
256	C₄²×D₇₃	C₂³	1	1	yes	characteristic
257	#14556523	C₂³	1	1	yes	characteristic, complemented
258	#14556523	C₂³	1	2	yes	complemented
259	#14556522	C₂³	1	1	yes	characteristic, complemented
260	#14556522	C₂³	1	1	yes	characteristic, complemented
261	#14556522	C₂³	1	2	yes	complemented
262	C₄⋊#10596831	C₂³	1	1	yes	characteristic, complemented
263	#14556520	C₂³	1	1	yes	characteristic, complemented
264	#14556520	C₂³	1	1	yes	characteristic, complemented
265	#14556516	C₂³	1	1	yes	characteristic, complemented
266	#14556515	C₂³	1	1	yes	characteristic, complemented
267	#14556515	C₂³	1	2	yes	complemented
268	#14556514	C₂³	1	1	yes	characteristic, complemented
269	#14556513	C₂³	1	1	yes	characteristic
270	#14556513	C₂³	1	2	yes	—
271	#14556513	C₂³	1	2	yes	complemented
272	#14556513	C₂³	1	2	yes	complemented
273	#14556513	C₂³	1	2	yes	complemented
274	#14556512	C₂³	1	1	yes	characteristic
275	#14556512	C₂³	1	2	yes	—
276	#14556512	C₂³	1	2	yes	complemented
277	#14556512	C₂³	1	2	yes	complemented
278	#14556512	C₂³	1	2	yes	complemented
279	#14556511	C₂³	1	1	yes	characteristic
280	#14556511	C₂³	1	2	yes	complemented
281	C₂²⋊#10596831	C₂³	1	2	yes	complemented
282	#14556503	C₂³	1	1	yes	characteristic
283	#14556503	C₂³	1	1	yes	characteristic
284	#14556503	C₂³	1	2	yes	—
285	#14556503	C₂³	1	2	yes	complemented
286	#14556503	C₂³	1	2	yes	complemented
287	C₄×#10596831	C₂³	1	1	yes	characteristic, complemented
288	C₈×Dic₇₃	C₂³	1	2	yes	complemented
289	C₂²×Q₈×C₇₃	C₂³	1	2	yes	complemented
290	C₂²×D₄×C₇₃	—	2	1	no	—
291	C₂²×D₄×C₇₃	C₂³	1	2	yes	—
292	C₂×SD₁₆×C₇₃	—	4	4	no	—
293	C₂×SD₁₆×C₇₃	C₂³	1	1	yes	characteristic
294	C₂×SD₁₆×C₇₃	C₂³	1	2	yes	—
295	C₂×SD₁₆×C₇₃	C₂³	1	2	yes	complemented
296	C₂×SD₁₆×C₇₃	C₂³	1	2	yes	complemented
297	C₂×SD₁₆×C₇₃	C₂³	1	2	yes	complemented
298	C₂²×C₈×C₇₃	C₂³	1	2	yes	complemented
299	C₄⋊Q₈×C₇₃	—	2	1	no	—
300	C₄⋊Q₈×C₇₃	C₂³	1	1	yes	characteristic, complemented
301	#127×C₇₃	C₂³	1	1	yes	characteristic
302	C₂²⋊Q₈×C₇₃	—	2	2	no	—
303	C₂²⋊Q₈×C₇₃	C₂³	1	2	yes	complemented
304	#121×C₇₃	—	2	1	no	—
305	#121×C₇₃	C₂³	1	2	yes	—
306	#120×C₇₃	—	2	2	no	—
307	C₄×Q₈×C₇₃	C₂³	1	1	yes	characteristic, complemented
308	C₄×D₄×C₇₃	—	2	1	no	—
309	C₄×D₄×C₇₃	C₂³	1	1	yes	characteristic
310	C₄×D₄×C₇₃	C₂³	1	1	yes	characteristic
311	#106×C₇₃	C₂³	1	1	yes	characteristic, complemented
312	C₄⋊C₈×C₇₃	C₂³	1	1	yes	characteristic, complemented
313	#103×C₇₃	C₂³	1	1	yes	characteristic, complemented
314	#103×C₇₃	C₂³	1	2	yes	complemented
315	#102×C₇₃	C₂³	1	1	yes	characteristic
316	#102×C₇₃	C₂³	1	2	yes	complemented
317	C₂²⋊C₈×C₇₃	C₂³	1	2	yes	complemented
318	C₄×C₈×C₇₃	C₂³	1	1	yes	characteristic, complemented
319	C₂³×D₇₃	—	2	1	no	—
320	C₂³×D₇₃	—	2	2	no	—
321	C₂³×D₇₃	—	2	2	no	—
322	C₂³×D₇₃	—	2	2	no	—
323	C₂³×D₇₃	—	2	2	no	—
324	C₂³×D₇₃	—	4	8	no	—
325	C₂³×D₇₃	—	4	8	no	—
326	C₂³×D₇₃	—	8	4	no	—
327	C₂³×D₇₃	C₂×D₄	1	2	yes	—
328	C₂×Dic₁₄₆	—	2	1	no	—
329	C₂×Dic₁₄₆	—	2	1	no	—
330	C₂×Dic₁₄₆	—	2	2	no	—
331	C₂×Dic₁₄₆	C₂⁴	1	1	yes	characteristic
332	Q₈×D₇₃	—	4	2	no	—
333	Q₈×D₇₃	—	4	2	no	—
334	C₂×D₂₉₂	—	2	4	no	—
335	C₂×D₂₉₂	—	2	2	no	—
336	C₂×D₂₉₂	—	2	2	no	—
337	C₂×D₂₉₂	—	2	1	no	—
338	C₂×D₂₉₂	—	2	1	no	—
339	C₂×D₂₉₂	—	4	2	no	—
340	C₂×D₂₉₂	—	4	4	no	—
341	C₂×D₂₉₂	C₂×D₄	1	1	yes	characteristic
342	C₂×D₂₉₂	C₂⁴	1	2	yes	—
343	C₂×D₂₉₂	C₂⁴	1	1	yes	characteristic
344	C₂×C₂²⋊D₇₃	—	2	2	no	—
345	C₂×C₂²⋊D₇₃	—	2	2	no	—
346	C₂×C₂²⋊D₇₃	—	2	1	no	—
347	C₂×C₂²⋊D₇₃	—	2	2	no	—
348	C₂×C₂²⋊D₇₃	—	2	2	no	—
349	C₂×C₂²⋊D₇₃	—	2	2	no	—
350	C₂×C₂²⋊D₇₃	—	2	2	no	—
351	C₂×C₂²⋊D₇₃	—	2	2	no	—
352	C₂×C₂²⋊D₇₃	—	4	8	no	—
353	C₂×C₂²⋊D₇₃	—	4	8	no	—
354	C₂×C₂²⋊D₇₃	C₂×D₄	1	2	yes	—
355	D₄×D₇₃	—	2	2	no	—
356	D₄×D₇₃	—	2	4	no	—
357	D₄×D₇₃	—	2	2	no	—
358	D₄×D₇₃	—	2	4	no	—
359	D₄×D₇₃	—	4	2	no	—
360	D₄×D₇₃	—	4	2	no	—
361	D₄×D₇₃	—	4	2	no	—
362	D₄×D₇₃	—	4	2	no	—
363	D₄×D₇₃	—	4	8	no	—
364	D₄×D₇₃	—	4	8	no	—
365	D₄×D₇₃	—	4	8	no	—
366	D₄×D₇₃	—	4	4	no	—
367	D₄×D₇₃	—	4	8	no	—
368	D₄×D₇₃	—	4	4	no	—
369	D₄×D₇₃	—	4	4	no	—
370	D₄×D₇₃	—	8	2	no	—
371	D₄×D₇₃	SD₁₆	1	8	yes	complemented
372	C₂²×Dic₇₃	—	2	2	no	—
373	C₂²×Dic₇₃	—	2	1	no	—
374	C₂²×Dic₇₃	C₂×D₄	1	2	yes	—
375	C₂×C₄×D₇₃	—	2	1	no	—
376	C₂×C₄×D₇₃	—	2	1	no	—
377	C₂×C₄×D₇₃	—	2	1	no	—
378	C₂×C₄×D₇₃	—	2	2	no	—
379	C₂×C₄×D₇₃	—	2	2	no	—
380	C₂×C₄×D₇₃	—	4	2	no	—
381	C₂×C₄×D₇₃	—	4	2	no	—
382	C₂×C₄×D₇₃	—	4	4	no	—
383	C₂×C₄×D₇₃	C₂×D₄	1	1	yes	characteristic
384	C₂×C₄×D₇₃	C₂×D₄	1	2	yes	—
385	C₂×C₄×D₇₃	C₂×D₄	1	2	yes	—
386	C₂×C₄×D₇₃	C₂×D₄	1	1	yes	characteristic
387	C₂×C₄×D₇₃	C₂⁴	1	1	yes	characteristic
388	C₂×C₄×D₇₃	C₂⁴	1	2	yes	—
389	#11924017	—	2	2	no	—
390	#11924017	—	4	2	no	—
391	#11924016	—	2	2	no	—
392	#11924016	—	4	2	no	—
393	#11924015	—	2	4	no	—
394	#11924015	—	2	2	no	—
395	#11924015	—	4	2	no	—
396	#11924015	—	4	2	no	—
397	#11924015	—	4	2	no	—
398	C₂×#10596831	—	4	2	no	—
399	C₂×#10596831	C₂⁴	1	2	yes	—
400	C₂×#10596831	C₂⁴	1	1	yes	characteristic
401	C₂×#10596831	C₂⁴	1	1	yes	characteristic
402	C₈×D₇₃	—	4	2	no	—
403	C₈×D₇₃	—	4	2	no	—
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	C₂×D₄	1	1	yes	characteristic
409	C₄⋊Dic₇₃	C₂⁴	1	2	yes	—
410	C₄⋊Dic₇₃	C₂⁴	1	1	yes	characteristic
411	C₄⋊Dic₇₃	C₂⁴	1	1	yes	characteristic
412	#11924007	—	2	2	no	—
413	#11924007	—	2	1	no	—
414	#11924007	—	2	2	no	—
415	#11924007	—	2	1	no	—
416	#11924007	—	2	2	no	—
417	#11924007	—	2	1	no	—
418	#11924007	—	2	2	no	—
419	#11924007	—	2	2	no	—
420	#11924007	—	2	1	no	—
421	#11924007	—	2	1	no	—
422	#11924007	—	2	1	no	—
423	#11924007	C₂×D₄	1	2	yes	—
424	C₂²⋊Dic₇₃	—	2	2	no	—
425	C₂²⋊Dic₇₃	—	2	1	no	—
426	C₂²⋊Dic₇₃	—	2	2	no	—
427	C₂²⋊Dic₇₃	C₂×D₄	1	2	yes	—
428	#11924005	—	2	1	no	—
429	#11924005	—	2	2	no	—
430	#11924005	—	2	1	no	—
431	#11924005	—	2	2	no	—
432	#11924005	—	2	2	no	—
433	#11924005	—	2	1	no	—
434	#11924005	—	2	2	no	—
435	#11924005	—	2	1	no	—
436	#11924005	—	2	2	no	—
437	#11924005	C₂×D₄	1	2	yes	—
438	#11924005	C₂×D₄	1	2	yes	—
439	C₄×Dic₇₃	—	2	1	no	—
440	C₄×Dic₇₃	—	2	2	no	—
441	C₄×Dic₇₃	C₂×D₄	1	1	yes	characteristic
442	C₄×Dic₇₃	C₂×D₄	1	1	yes	characteristic
443	C₄×Dic₇₃	C₂⁴	1	1	yes	characteristic
444	C₂⁴×C₇₃	—	2	2	no	—
445	C₂×Q₈×C₇₃	—	2	2	no	—
446	C₂×Q₈×C₇₃	—	4	2	no	—
447	C₂×Q₈×C₇₃	—	4	2	no	—
448	C₂×Q₈×C₇₃	C₂⁴	1	1	yes	characteristic
449	C₂×Q₈×C₇₃	C₂⁴	1	2	yes	—
450	C₂×D₄×C₇₃	—	2	4	no	—
451	C₂×D₄×C₇₃	—	2	2	no	—
452	C₂×D₄×C₇₃	—	2	2	no	—
453	C₂×D₄×C₇₃	—	2	1	no	—
454	C₂×D₄×C₇₃	—	2	1	no	—
455	C₂×D₄×C₇₃	—	4	2	no	—
456	C₂×D₄×C₇₃	—	4	4	no	—
457	C₂×D₄×C₇₃	C₂×D₄	1	1	yes	characteristic
458	C₂×D₄×C₇₃	C₂⁴	1	2	yes	—
459	C₂×D₄×C₇₃	C₂⁴	1	1	yes	characteristic
460	C₂²×C₄×C₇₃	—	2	2	no	—
461	C₂²×C₄×C₇₃	—	2	1	no	—
462	C₂²×C₄×C₇₃	C₂⁴	1	2	yes	—
463	SD₁₆×C₇₃	—	2	2	no	—
464	SD₁₆×C₇₃	—	2	4	no	—
465	SD₁₆×C₇₃	—	4	2	no	—
466	SD₁₆×C₇₃	—	4	2	no	—
467	SD₁₆×C₇₃	—	4	2	no	—
468	C₂×C₈×C₇₃	—	4	2	no	—
469	C₂×C₈×C₇₃	C₂⁴	1	1	yes	characteristic
470	C₂×C₈×C₇₃	C₂⁴	1	1	yes	characteristic
471	C₂×C₈×C₇₃	C₂⁴	1	2	yes	—
472	C₄⋊C₄×C₇₃	—	2	1	no	—
473	C₄⋊C₄×C₇₃	—	2	1	no	—
474	C₄⋊C₄×C₇₃	—	2	1	no	—
475	C₄⋊C₄×C₇₃	—	2	2	no	—
476	C₄⋊C₄×C₇₃	C₂×D₄	1	1	yes	characteristic
477	C₄⋊C₄×C₇₃	C₂⁴	1	1	yes	characteristic
478	C₄⋊C₄×C₇₃	C₂⁴	1	1	yes	characteristic
479	C₂²⋊C₄×C₇₃	—	2	2	no	—
480	C₂²⋊C₄×C₇₃	—	2	1	no	—
481	C₂²⋊C₄×C₇₃	—	2	2	no	—
482	C₂²⋊C₄×C₇₃	C₂×D₄	1	2	yes	—
483	C₄²×C₇₃	—	2	1	no	—
484	C₄²×C₇₃	C₂⁴	1	1	yes	characteristic
485	C₂³×C₇₃	—	2	1	no	—
486	C₂³×C₇₃	—	2	2	no	—
487	C₂³×C₇₃	—	4	4	no	—
488	C₂³×C₇₃	—	4	4	no	—
489	C₂³×C₇₃	—	8	2	no	—
490	C₂³×C₇₃	C₂²×D₄	1	2	yes	—
491	C₂²×D₇₃	—	2	4	no	—
492	C₂²×D₇₃	—	2	1	no	—
493	C₂²×D₇₃	—	2	2	no	—
494	C₂²×D₇₃	—	4	2	no	—
495	C₂²×D₇₃	—	4	2	no	—
496	C₂²×D₇₃	—	4	4	no	—
497	C₂²×D₇₃	—	4	2	no	—
498	C₂²×D₇₃	—	4	4	no	—
499	C₂²×D₇₃	—	4	4	no	—
500	C₂²×D₇₃	—	4	4	no	—
501	C₂²×D₇₃	—	4	4	no	—
502	C₂²×D₇₃	—	4	2	no	—
503	C₂²×D₇₃	—	4	4	no	—
504	C₂²×D₇₃	—	4	4	no	—
505	C₂²×D₇₃	—	4	4	no	—
506	C₂²×D₇₃	—	4	4	no	—
507	C₂²×D₇₃	—	8	2	no	—
508	C₂²×D₇₃	—	8	2	no	—
509	C₂²×D₇₃	—	8	2	no	—
510	C₂²×D₇₃	—	8	32	no	—
511	C₂²×D₇₃	C₂×SD₁₆	1	8	yes	complemented
512	C₂²×D₇₃	C₂²×D₄	1	1	yes	characteristic
513	C₂²×D₇₃	C₂²×D₄	1	2	yes	—
514	Q₈×C₇₃	—	2	1	no	—
515	Q₈×C₇₃	—	2	2	no	—
516	Q₈×C₇₃	—	2	2	no	—
517	Q₈×C₇₃	—	2	1	no	—
518	Q₈×C₇₃	—	8	2	no	—
519	D₄×C₇₃	—	2	1	no	—
520	D₄×C₇₃	—	2	2	no	—
521	D₄×C₇₃	—	2	2	no	—
522	D₄×C₇₃	—	4	4	no	—
523	D₄×C₇₃	—	4	4	no	—
524	D₄×C₇₃	—	4	2	no	—
525	D₄×C₇₃	—	8	1	no	—
526	D₄×C₇₃	C₂×SD₁₆	1	4	yes	complemented
527	D₄×C₇₃	H(5,𝔽₂)	1	2	yes	—
528	C₂×C₄×C₇₃	—	2	2	no	—
529	C₂×C₄×C₇₃	—	2	2	no	—
530	C₂×C₄×C₇₃	—	2	1	no	—
531	C₂×C₄×C₇₃	—	2	1	no	—
532	C₂×C₄×C₇₃	—	2	1	no	—
533	C₂×C₄×C₇₃	—	2	2	no	—
534	C₂×C₄×C₇₃	—	4	2	no	—
535	C₂×C₄×C₇₃	—	8	2	no	—
536	C₂×C₄×C₇₃	C₂²×D₄	1	1	yes	characteristic
537	C₂×C₄×C₇₃	C₂²×D₄	1	2	yes	—
538	C₂×C₄×C₇₃	C₂²×D₄	1	1	yes	characteristic
539	C₂×C₄×C₇₃	C₂⁵	1	1	yes	characteristic
540	C₂²⋊D₇₃	—	2	4	no	—
541	C₂²⋊D₇₃	—	4	4	no	—
542	C₂²⋊D₇₃	—	4	4	no	—
543	C₂²⋊D₇₃	—	4	4	no	—
544	C₂²⋊D₇₃	—	4	4	no	—
545	C₂²⋊D₇₃	—	4	4	no	—
546	C₂²⋊D₇₃	—	4	4	no	—
547	C₂²⋊D₇₃	—	8	2	no	—
548	C₂²⋊D₇₃	C₂×SD₁₆	1	8	yes	complemented
549	C₂×Dic₇₃	—	2	1	no	—
550	C₂×Dic₇₃	—	2	2	no	—
551	C₂×Dic₇₃	—	2	1	no	—
552	C₂×Dic₇₃	—	2	1	no	—
553	C₂×Dic₇₃	—	4	2	no	—
554	C₂×Dic₇₃	—	4	2	no	—
555	C₂×Dic₇₃	—	8	2	no	—
556	C₂×Dic₇₃	C₂²×D₄	1	1	yes	characteristic
557	C₂×Dic₇₃	C₂²×D₄	1	1	yes	characteristic
558	C₂×Dic₇₃	C₂²×D₄	1	2	yes	—
559	C₂×Dic₇₃	C₂²×D₄	1	1	yes	characteristic
560	D₂₉₂	—	2	1	no	—
561	D₂₉₂	—	2	2	no	—
562	D₂₉₂	—	2	2	no	—
563	D₂₉₂	—	4	4	no	—
564	D₂₉₂	—	4	4	no	—
565	D₂₉₂	—	4	2	no	—
566	D₂₉₂	—	8	1	no	—
567	D₂₉₂	C₂×SD₁₆	1	4	yes	complemented
568	D₂₉₂	H(5,𝔽₂)	1	2	yes	—
569	C₄×D₇₃	—	2	2	no	—
570	C₄×D₇₃	—	2	2	no	—
571	C₄×D₇₃	—	2	1	no	—
572	C₄×D₇₃	—	2	1	no	—
573	C₄×D₇₃	—	4	2	no	—
574	C₄×D₇₃	—	4	2	no	—
575	C₄×D₇₃	—	4	1	no	—
576	C₄×D₇₃	—	4	2	no	—
577	C₄×D₇₃	—	4	2	no	—
578	C₄×D₇₃	—	4	2	no	—
579	C₄×D₇₃	—	8	2	no	—
580	C₄×D₇₃	—	8	2	no	—
581	C₄×D₇₃	C₂×SD₁₆	1	4	yes	complemented
582	Dic₁₄₆	—	2	1	no	—
583	Dic₁₄₆	—	2	1	no	—
584	Dic₁₄₆	—	8	2	no	—
585	Dic₁₄₆	—	8	1	no	—
586	Dic₁₄₆	—	8	1	no	—
587	C₈×C₇₃	—	2	1	no	—
588	C₈×C₇₃	—	2	2	no	—
589	C₈×C₇₃	—	2	1	no	—
590	#10596831	—	2	1	no	—
591	#10596831	—	2	2	no	—
592	#10596831	—	2	1	no	—
593	C₂²×C₇₃	—	2	2	no	—
594	C₂²×C₇₃	—	2	2	no	—
595	C₂²×C₇₃	—	2	2	no	—
596	C₂²×C₇₃	—	4	1	no	—
597	C₂²×C₇₃	—	4	1	no	—
598	C₂²×C₇₃	—	4	2	no	—
599	C₂²×C₇₃	—	4	2	no	—
600	C₂²×C₇₃	—	4	2	no	—
601	C₂²×C₇₃	—	8	8	no	—
602	C₂²×C₇₃	C₂²×SD₁₆	1	4	yes	—
603	C₂²×C₇₃	C₂³×D₄	1	1	yes	characteristic
604	C₂×D₇₃	—	2	1	no	—
605	C₂×D₇₃	—	2	2	no	—
606	C₂×D₇₃	—	2	1	no	—
607	C₂×D₇₃	—	2	2	no	—
608	C₂×D₇₃	—	2	2	no	—
609	C₂×D₇₃	—	4	8	no	—
610	C₂×D₇₃	—	4	8	no	—
611	C₂×D₇₃	—	4	1	no	—
612	C₂×D₇₃	—	4	1	no	—
613	C₂×D₇₃	—	4	2	no	—
614	C₂×D₇₃	—	4	2	no	—
615	C₂×D₇₃	—	4	2	no	—
616	C₂×D₇₃	—	8	8	no	—
617	C₂×D₇₃	—	8	8	no	—
618	C₂×D₇₃	—	8	8	no	—
619	C₂×D₇₃	—	8	8	no	—
620	C₂×D₇₃	C₂²×SD₁₆	1	2	yes	—
621	C₂×D₇₃	C₂²×SD₁₆	1	4	yes	—
622	C₄×C₇₃	—	2	1	no	—
623	C₄×C₇₃	—	2	2	no	—
624	C₄×C₇₃	—	4	1	no	—
625	C₄×C₇₃	—	4	2	no	—
626	C₄×C₇₃	—	4	1	no	—
627	C₄×C₇₃	—	4	1	no	—
628	C₄×C₇₃	C₂²×SD₁₆	1	2	yes	—
629	C₄×C₇₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
630	C₄×C₇₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
631	Dic₇₃	—	2	1	no	—
632	Dic₇₃	—	2	2	no	—
633	Dic₇₃	—	2	1	no	—
634	Dic₇₃	—	4	2	no	—
635	Dic₇₃	—	4	1	no	—
636	Dic₇₃	—	4	1	no	—
637	Dic₇₃	—	4	1	no	—
638	Dic₇₃	C₂²×SD₁₆	1	2	yes	—
639	#61560	—	73	1	no	maximal, Sylow
640	C₂×C₇₃	—	2	4	no	—
641	C₂×C₇₃	—	4	2	no	—
642	C₂×C₇₃	—	8	2	no	—
643	C₂×C₇₃	#3484	1	1	yes	characteristic
644	C₂×C₇₃	C₂³×SD₁₆	1	1	yes	characteristic
645	C₂×C₇₃	#3585	1	1	yes	characteristic
646	D₇₃	—	2	2	no	—
647	D₇₃	—	2	4	no	—
648	D₇₃	—	4	2	no	—
649	D₇₃	—	8	2	no	—
650	#3501	—	73	1	no	—
651	C₂×D₄²	—	73	1	no	—
652	#3295	—	73	2	no	—
653	#3295	—	73	1	no	—
654	#3295	—	73	2	no	—
655	#3295	—	73	1	no	—
656	#3295	—	73	1	no	—
657	#3295	—	73	1	no	—
658	D₄×SD₁₆	—	73	1	no	—
659	D₄×SD₁₆	—	73	1	no	—
660	D₄×SD₁₆	—	73	2	no	—
661	D₄×SD₁₆	—	73	2	no	—
662	D₄×SD₁₆	—	73	1	no	—
663	D₄×SD₁₆	D₇₃	1	1	yes	characteristic, complemented
664	#3208	—	73	1	no	—
665	#3208	—	73	1	no	—
666	#3187	—	73	2	no	—
667	#3187	—	73	2	no	—
668	#3101	—	73	1	no	—
669	#3101	—	73	1	no	—
670	C₂×#450	—	73	2	no	—
671	C₂×#450	—	73	2	no	—
672	#2972	—	73	1	no	—
673	C₇₃	#61560	1	1	yes	characteristic, complemented, Sylow
674	C₂³×D₄	—	73	2	no	—
675	C₂³×D₄	—	146	1	no	—
676	C₂²×SD₁₆	—	73	2	no	—
677	C₂²×SD₁₆	—	73	2	no	—
678	C₂²×SD₁₆	—	73	2	no	—
679	C₂²×SD₁₆	C₂×D₇₃	1	2	yes	complemented
680	#554	—	73	2	no	—
681	#554	—	73	1	no	—
682	#554	—	73	1	no	—
683	#554	—	146	1	no	—
684	#554	—	146	2	no	—
685	#554	—	146	1	no	—
686	D₄×Q₈	—	73	2	no	—
687	D₄×Q₈	—	73	1	no	—
688	D₄×Q₈	C₂×D₇₃	1	1	yes	characteristic, complemented
689	D₄²	—	73	2	no	—
690	D₄²	—	73	1	no	—
691	D₄²	—	73	2	no	—
692	D₄²	—	73	1	no	—
693	D₄²	—	73	1	no	—
694	D₄²	—	146	2	no	—
695	D₄²	—	146	1	no	—
696	D₄²	—	146	1	no	—
697	D₄²	C₂×D₇₃	1	1	yes	characteristic
698	#544	—	146	1	no	—
699	#543	—	146	2	no	—
700	#533	—	73	1	no	—
701	#533	—	73	1	no	—
702	C₂×#127	—	73	1	no	—
703	C₂×C₂²⋊Q₈	—	73	2	no	—
704	C₂×C₂²⋊Q₈	—	73	2	no	—
705	C₂×#121	—	73	2	no	—
706	C₂×#121	—	146	1	no	—
707	C₂×#120	—	146	2	no	—
708	#518	—	146	1	no	—
709	C₂×C₄×D₄	—	73	1	no	—
710	C₂×C₄×D₄	—	73	1	no	—
711	#492	—	73	2	no	—
712	#492	—	73	1	no	—
713	#492	C₂×D₇₃	1	1	yes	characteristic, complemented
714	#486	—	73	1	no	—
715	#486	—	73	2	no	—
716	#486	—	73	1	no	—
717	#483	—	73	1	no	—
718	#483	—	73	2	no	—
719	#483	—	73	1	no	—
720	#481	—	73	2	no	—
721	#481	—	73	2	no	—
722	#481	—	73	2	no	—
723	#481	—	73	2	no	—
724	#476	—	73	1	no	—
725	#476	—	73	1	no	—
726	#476	—	73	1	no	—
727	#476	—	73	1	no	—
728	#465	—	73	2	no	—
729	#465	—	73	2	no	—
730	#465	—	73	2	no	—
731	#465	—	73	2	no	—
732	#465	—	73	2	no	—
733	#465	—	73	2	no	—
734	#465	—	73	2	no	—
735	#465	C₂×D₇₃	1	2	yes	complemented
736	#461	—	73	1	no	—
737	#461	—	73	1	no	—
738	#461	—	73	1	no	—
739	#461	C₂×D₇₃	1	1	yes	characteristic, complemented
740	#460	—	73	2	no	—
741	#460	—	73	2	no	—
742	#460	—	73	1	no	—
743	#460	—	73	1	no	—
744	#460	—	73	1	no	—
745	#460	C₂×D₇₃	1	1	yes	characteristic, complemented
746	#450	—	73	2	no	—
747	#450	—	73	2	no	—
748	#450	—	73	1	no	—
749	#450	—	73	2	no	—
750	#450	—	73	2	no	—
751	#450	—	73	2	no	—
752	#450	—	73	2	no	—
753	#450	—	73	2	no	—
754	#450	—	73	2	no	—
755	#450	—	73	2	no	—
756	#450	—	73	2	no	—
757	#450	—	73	1	no	—
758	#450	—	73	2	no	—
759	#450	—	73	2	no	—
760	#450	C₂×D₇₃	1	2	yes	complemented
761	#448	—	73	2	no	—
762	#448	—	73	2	no	—
763	#448	—	73	2	no	—
764	#448	C₂×D₇₃	1	2	yes	complemented
765	C₄×SD₁₆	—	73	2	no	—
766	C₄×SD₁₆	—	73	1	no	—
767	C₄×SD₁₆	—	73	1	no	—
768	C₄×SD₁₆	—	73	2	no	—
769	C₄×SD₁₆	—	73	1	no	—
770	C₄×SD₁₆	C₂×D₇₃	1	1	yes	characteristic, complemented
771	C₈×D₄	—	73	2	no	—
772	C₈×D₄	—	73	1	no	—
773	C₈×D₄	—	73	1	no	—
774	C₈×D₄	—	73	2	no	—
775	C₈×D₄	—	73	1	no	—
776	C₈×D₄	C₂×D₇₃	1	1	yes	characteristic, complemented
777	#431	—	73	1	no	—
778	#431	—	73	1	no	—
779	C₂×#102	—	73	2	no	—
780	C₂×#102	—	73	2	no	—
781	C₂×#102	—	73	2	no	—
782	C₂×#102	—	73	2	no	—
783	C₂×C₂²⋊C₈	—	73	2	no	—
784	C₂×C₂²⋊C₈	—	73	2	no	—
785	C₂⁵	—	146	2	no	—
786	C₂²×Q₈	—	73	2	no	—
787	C₂²×Q₈	C₂²×D₇₃	1	2	yes	complemented
788	C₂²×D₄	—	2	1	no	—
789	C₂²×D₄	—	292	4	no	—
790	C₂²×D₄	—	292	8	no	—
791	C₂²×D₄	—	292	4	no	—
792	C₂²×D₄	—	73	2	no	—
793	C₂²×D₄	—	73	2	no	—
794	C₂²×D₄	—	73	2	no	—
795	C₂²×D₄	—	73	1	no	—
796	C₂²×D₄	—	73	1	no	—
797	C₂²×D₄	—	73	2	no	—
798	C₂²×D₄	—	146	1	no	—
799	C₂²×D₄	—	146	2	no	—
800	C₂²×D₄	—	146	1	no	—
801	C₂²×D₄	—	146	2	no	—
802	C₂²×D₄	—	146	1	no	—
803	C₂²×D₄	—	146	2	no	—
804	C₂²×D₄	—	146	2	no	—
805	C₂²×D₄	—	146	1	no	—
806	C₂²×D₄	—	146	2	no	—
807	C₂²×D₄	—	146	2	no	—
808	C₂²×D₄	—	146	1	no	—
809	C₂²×D₄	C₂²×D₇₃	1	2	yes	—
810	C₂³×C₄	—	73	2	no	—
811	C₂³×C₄	—	146	1	no	—
812	C₂×SD₁₆	—	4	4	no	—
813	C₂×SD₁₆	—	292	4	no	—
814	C₂×SD₁₆	—	292	4	no	—
815	C₂×SD₁₆	—	292	4	no	—
816	C₂×SD₁₆	—	73	2	no	—
817	C₂×SD₁₆	—	73	2	no	—
818	C₂×SD₁₆	—	73	2	no	—
819	C₂×SD₁₆	—	73	2	no	—
820	C₂×SD₁₆	—	73	2	no	—
821	C₂×SD₁₆	—	73	1	no	—
822	C₂×SD₁₆	—	73	1	no	—
823	C₂×SD₁₆	—	73	2	no	—
824	C₂×SD₁₆	—	73	1	no	—
825	C₂×SD₁₆	C₂²×D₇₃	1	2	yes	—
826	C₂×SD₁₆	C₂²×D₇₃	1	1	yes	characteristic
827	C₂×SD₁₆	C₂²×D₇₃	1	2	yes	complemented
828	C₂×SD₁₆	C₂²×D₇₃	1	2	yes	complemented
829	C₂×SD₁₆	C₂²×D₇₃	1	2	yes	complemented
830	C₂²×C₈	—	73	2	no	—
831	C₂²×C₈	—	73	2	no	—
832	C₂²×C₈	—	73	2	no	—
833	C₂²×C₈	C₂²×D₇₃	1	2	yes	complemented
834	C₄⋊Q₈	—	2	1	no	—
835	C₄⋊Q₈	—	73	1	no	—
836	C₄⋊Q₈	—	73	1	no	—
837	C₄⋊Q₈	—	73	1	no	—
838	C₄⋊Q₈	—	146	1	no	—
839	C₄⋊Q₈	—	146	2	no	—
840	C₄⋊Q₈	C₂²×D₇₃	1	1	yes	characteristic, complemented
841	#127	—	73	2	no	—
842	#127	—	73	1	no	—
843	#127	—	146	1	no	—
844	#127	—	146	1	no	—
845	#127	C₂²×D₇₃	1	1	yes	characteristic
846	#125	—	146	1	no	—
847	#125	—	146	1	no	—
848	#125	—	146	1	no	—
849	#125	—	146	2	no	—
850	#125	—	146	1	no	—
851	C₂²⋊Q₈	—	2	2	no	—
852	C₂²⋊Q₈	—	73	2	no	—
853	C₂²⋊Q₈	—	73	1	no	—
854	C₂²⋊Q₈	—	73	2	no	—
855	C₂²⋊Q₈	—	73	2	no	—
856	C₂²⋊Q₈	—	73	2	no	—
857	C₂²⋊Q₈	—	73	1	no	—
858	C₂²⋊Q₈	—	146	2	no	—
859	C₂²⋊Q₈	—	146	2	no	—
860	C₂²⋊Q₈	—	146	2	no	—
861	C₂²⋊Q₈	—	146	2	no	—
862	C₂²⋊Q₈	—	146	2	no	—
863	C₂²⋊Q₈	—	146	2	no	—
864	C₂²⋊Q₈	—	146	2	no	—
865	C₂²⋊Q₈	—	146	2	no	—
866	C₂²⋊Q₈	—	146	1	no	—
867	C₂²⋊Q₈	—	146	1	no	—
868	C₂²⋊Q₈	—	146	2	no	—
869	C₂²⋊Q₈	—	146	2	no	—
870	C₂²⋊Q₈	—	146	2	no	—
871	C₂²⋊Q₈	C₂²×D₇₃	1	2	yes	complemented
872	#121	—	2	1	no	—
873	#121	—	73	2	no	—
874	#121	—	73	2	no	—
875	#121	—	73	2	no	—
876	#121	—	146	2	no	—
877	#121	—	146	2	no	—
878	#121	—	146	1	no	—
879	#121	—	146	1	no	—
880	#121	—	146	2	no	—
881	#121	—	146	2	no	—
882	#121	—	146	1	no	—
883	#121	C₂²×D₇₃	1	2	yes	—
884	#120	—	2	2	no	—
885	#120	—	146	2	no	—
886	#120	—	146	2	no	—
887	#120	—	146	2	no	—
888	#120	—	146	2	no	—
889	#120	—	146	2	no	—
890	#120	—	146	2	no	—
891	#120	—	146	2	no	—
892	C₄×Q₈	—	73	2	no	—
893	C₄×Q₈	—	73	1	no	—
894	C₄×Q₈	—	146	1	no	—
895	C₄×Q₈	—	146	1	no	—
896	C₄×Q₈	C₂²×D₇₃	1	1	yes	characteristic, complemented
897	C₄×D₄	—	2	1	no	—
898	C₄×D₄	—	73	1	no	—
899	C₄×D₄	—	73	2	no	—
900	C₄×D₄	—	73	1	no	—
901	C₄×D₄	—	73	2	no	—
902	C₄×D₄	—	73	1	no	—
903	C₄×D₄	—	73	1	no	—
904	C₄×D₄	—	73	1	no	—
905	C₄×D₄	—	73	1	no	—
906	C₄×D₄	—	146	1	no	—
907	C₄×D₄	—	146	1	no	—
908	C₄×D₄	—	146	1	no	—
909	C₄×D₄	—	146	2	no	—
910	C₄×D₄	—	146	1	no	—
911	C₄×D₄	—	146	2	no	—
912	C₄×D₄	—	146	1	no	—
913	C₄×D₄	C₂²×D₇₃	1	1	yes	characteristic
914	C₄×D₄	C₂²×D₇₃	1	1	yes	characteristic
915	#117	—	146	1	no	—
916	#117	—	146	1	no	—
917	C₂×C₄⋊C₄	—	73	1	no	—
918	C₂×C₄⋊C₄	—	73	2	no	—
919	C₂×C₄⋊C₄	—	73	1	no	—
920	C₂×C₄⋊C₄	—	73	2	no	—
921	C₂×C₄⋊C₄	—	146	2	no	—
922	C₂×C₄⋊C₄	—	146	2	no	—
923	C₂×C₂²⋊C₄	—	73	2	no	—
924	C₂×C₂²⋊C₄	—	146	1	no	—
925	C₂×C₂²⋊C₄	—	146	2	no	—
926	C₂×C₂²⋊C₄	—	146	2	no	—
927	C₂×C₂²⋊C₄	—	146	2	no	—
928	C₂×C₄²	—	73	1	no	—
929	#106	—	73	2	no	—
930	#106	—	73	1	no	—
931	#106	—	73	1	no	—
932	#106	—	73	2	no	—
933	#106	—	73	1	no	—
934	#106	C₂²×D₇₃	1	1	yes	characteristic, complemented
935	C₄⋊C₈	—	73	1	no	—
936	C₄⋊C₈	—	73	1	no	—
937	C₄⋊C₈	—	73	1	no	—
938	C₄⋊C₈	C₂²×D₇₃	1	1	yes	characteristic, complemented
939	#103	—	73	2	no	—
940	#103	—	73	1	no	—
941	#103	—	73	1	no	—
942	#103	—	73	1	no	—
943	#103	C₂²×D₇₃	1	2	yes	complemented
944	#103	C₂²×D₇₃	1	1	yes	characteristic, complemented
945	#102	—	73	1	no	—
946	#102	—	73	2	no	—
947	#102	—	73	2	no	—
948	#102	—	73	2	no	—
949	#102	—	73	2	no	—
950	#102	—	73	2	no	—
951	#102	—	73	1	no	—
952	#102	—	73	2	no	—
953	#102	—	73	2	no	—
954	#102	—	73	2	no	—
955	#102	—	73	1	no	—
956	#102	—	73	2	no	—
957	#102	C₂²×D₇₃	1	1	yes	characteristic
958	#102	C₂²×D₇₃	1	2	yes	complemented
959	C₂²⋊C₈	—	73	2	no	—
960	C₂²⋊C₈	—	73	2	no	—
961	C₂²⋊C₈	—	73	1	no	—
962	C₂²⋊C₈	—	73	1	no	—
963	C₂²⋊C₈	—	73	2	no	—
964	C₂²⋊C₈	—	73	2	no	—
965	C₂²⋊C₈	C₂²×D₇₃	1	2	yes	complemented
966	C₄×C₈	—	73	2	no	—
967	C₄×C₈	—	73	1	no	—
968	C₄×C₈	C₂²×D₇₃	1	1	yes	characteristic, complemented
969	C₂⁴	—	2	2	no	—
970	C₂⁴	—	292	8	no	—
971	C₂⁴	—	292	8	no	—
972	C₂⁴	—	584	4	no	—
973	C₂⁴	—	73	2	no	—
974	C₂⁴	—	146	2	no	—
975	C₂⁴	—	146	2	no	—
976	C₂⁴	—	146	2	no	—
977	C₂⁴	—	146	1	no	—
978	C₂⁴	—	146	2	no	—
979	C₂×Q₈	—	2	2	no	—
980	C₂×Q₈	—	4	2	no	—
981	C₂×Q₈	—	4	2	no	—
982	C₂×Q₈	—	292	2	no	—
983	C₂×Q₈	—	292	2	no	—
984	C₂×Q₈	—	73	1	no	—
985	C₂×Q₈	—	146	1	no	—
986	C₂×Q₈	—	146	2	no	—
987	C₂×Q₈	—	146	1	no	—
988	C₂×Q₈	C₂³×D₇₃	1	2	yes	—
989	C₂×Q₈	C₂³×D₇₃	1	1	yes	characteristic
990	C₂×D₄	—	2	4	no	—
991	C₂×D₄	—	2	2	no	—
992	C₂×D₄	—	2	2	no	—
993	C₂×D₄	—	2	1	no	—
994	C₂×D₄	—	2	1	no	—
995	C₂×D₄	—	4	2	no	—
996	C₂×D₄	—	4	4	no	—
997	C₂×D₄	—	292	2	no	—
998	C₂×D₄	—	292	4	no	—
999	C₂×D₄	—	292	8	no	—
1000	C₂×D₄	—	292	8	no	—
1001	C₂×D₄	—	292	8	no	—
1002	C₂×D₄	—	292	4	no	—
1003	C₂×D₄	—	292	8	no	—
1004	C₂×D₄	—	292	8	no	—
1005	C₂×D₄	—	292	8	no	—
1006	C₂×D₄	—	292	4	no	—
1007	C₂×D₄	—	292	4	no	—
1008	C₂×D₄	—	292	2	no	—
1009	C₂×D₄	—	292	2	no	—
1010	C₂×D₄	—	292	2	no	—
1011	C₂×D₄	—	292	2	no	—
1012	C₂×D₄	—	584	2	no	—
1013	C₂×D₄	—	73	2	no	—
1014	C₂×D₄	—	73	8	no	—
1015	C₂×D₄	—	73	1	no	—
1016	C₂×D₄	—	73	1	no	—
1017	C₂×D₄	—	73	2	no	—
1018	C₂×D₄	—	146	2	no	—
1019	C₂×D₄	—	146	4	no	—
1020	C₂×D₄	—	146	2	no	—
1021	C₂×D₄	—	146	2	no	—
1022	C₂×D₄	—	146	2	no	—
1023	C₂×D₄	—	146	2	no	—
1024	C₂×D₄	—	146	2	no	—
1025	C₂×D₄	—	146	1	no	—
1026	C₂×D₄	—	146	4	no	—
1027	C₂×D₄	—	146	2	no	—
1028	C₂×D₄	—	146	2	no	—
1029	C₂×D₄	—	146	2	no	—
1030	C₂×D₄	—	146	4	no	—
1031	C₂×D₄	—	146	2	no	—
1032	C₂×D₄	—	146	2	no	—
1033	C₂×D₄	—	146	1	no	—
1034	C₂×D₄	—	146	1	no	—
1035	C₂×D₄	D₄×D₇₃	1	1	yes	characteristic
1036	C₂×D₄	C₂³×D₇₃	1	2	yes	—
1037	C₂×D₄	C₂³×D₇₃	1	1	yes	characteristic
1038	C₂²×C₄	—	2	2	no	—
1039	C₂²×C₄	—	2	1	no	—
1040	C₂²×C₄	—	292	2	no	—
1041	C₂²×C₄	—	292	2	no	—
1042	C₂²×C₄	—	292	4	no	—
1043	C₂²×C₄	—	73	2	no	—
1044	C₂²×C₄	—	73	1	no	—
1045	C₂²×C₄	—	73	2	no	—
1046	C₂²×C₄	—	73	2	no	—
1047	C₂²×C₄	—	73	1	no	—
1048	C₂²×C₄	—	73	1	no	—
1049	C₂²×C₄	—	73	2	no	—
1050	C₂²×C₄	—	146	1	no	—
1051	C₂²×C₄	—	146	1	no	—
1052	C₂²×C₄	—	146	2	no	—
1053	C₂²×C₄	—	146	2	no	—
1054	C₂²×C₄	—	146	1	no	—
1055	C₂²×C₄	—	146	1	no	—
1056	C₂²×C₄	—	146	2	no	—
1057	C₂²×C₄	C₂³×D₇₃	1	2	yes	—
1058	SD₁₆	—	2	2	no	—
1059	SD₁₆	—	2	4	no	—
1060	SD₁₆	—	4	2	no	—
1061	SD₁₆	—	4	2	no	—
1062	SD₁₆	—	4	2	no	—
1063	SD₁₆	—	292	2	no	—
1064	SD₁₆	—	292	2	no	—
1065	SD₁₆	—	292	2	no	—
1066	SD₁₆	—	292	2	no	—
1067	SD₁₆	—	292	2	no	—
1068	SD₁₆	—	146	2	no	—
1069	SD₁₆	—	146	4	no	—
1070	SD₁₆	—	146	2	no	—
1071	SD₁₆	—	146	2	no	—
1072	C₂×C₈	—	4	2	no	—
1073	C₂×C₈	—	292	2	no	—
1074	C₂×C₈	—	292	2	no	—
1075	C₂×C₈	—	292	2	no	—
1076	C₂×C₈	—	73	2	no	—
1077	C₂×C₈	—	73	1	no	—
1078	C₂×C₈	—	73	1	no	—
1079	C₂×C₈	C₂³×D₇₃	1	2	yes	—
1080	C₂×C₈	C₂³×D₇₃	1	1	yes	characteristic
1081	C₂×C₈	C₂³×D₇₃	1	1	yes	characteristic
1082	C₄⋊C₄	—	2	2	no	—
1083	C₄⋊C₄	—	2	1	no	—
1084	C₄⋊C₄	—	2	1	no	—
1085	C₄⋊C₄	—	2	1	no	—
1086	C₄⋊C₄	—	73	2	no	—
1087	C₄⋊C₄	—	73	1	no	—
1088	C₄⋊C₄	—	73	2	no	—
1089	C₄⋊C₄	—	73	1	no	—
1090	C₄⋊C₄	—	73	1	no	—
1091	C₄⋊C₄	—	146	1	no	—
1092	C₄⋊C₄	—	146	2	no	—
1093	C₄⋊C₄	—	146	1	no	—
1094	C₄⋊C₄	—	146	2	no	—
1095	C₄⋊C₄	—	146	2	no	—
1096	C₄⋊C₄	—	146	2	no	—
1097	C₄⋊C₄	—	146	1	no	—
1098	C₄⋊C₄	—	146	1	no	—
1099	C₄⋊C₄	—	146	1	no	—
1100	C₄⋊C₄	—	146	1	no	—
1101	C₄⋊C₄	—	146	2	no	—
1102	C₄⋊C₄	—	146	2	no	—
1103	C₄⋊C₄	—	146	1	no	—
1104	C₄⋊C₄	—	146	2	no	—
1105	C₄⋊C₄	—	146	1	no	—
1106	C₄⋊C₄	D₄×D₇₃	1	1	yes	characteristic
1107	C₄⋊C₄	C₂³×D₇₃	1	1	yes	characteristic
1108	C₄⋊C₄	C₂³×D₇₃	1	1	yes	characteristic
1109	C₂²⋊C₄	—	2	2	no	—
1110	C₂²⋊C₄	—	2	1	no	—
1111	C₂²⋊C₄	—	2	2	no	—
1112	C₂²⋊C₄	—	73	2	no	—
1113	C₂²⋊C₄	—	73	2	no	—
1114	C₂²⋊C₄	—	73	2	no	—
1115	C₂²⋊C₄	—	146	1	no	—
1116	C₂²⋊C₄	—	146	2	no	—
1117	C₂²⋊C₄	—	146	1	no	—
1118	C₂²⋊C₄	—	146	1	no	—
1119	C₂²⋊C₄	—	146	2	no	—
1120	C₂²⋊C₄	—	146	2	no	—
1121	C₂²⋊C₄	—	146	2	no	—
1122	C₂²⋊C₄	—	146	1	no	—
1123	C₂²⋊C₄	—	146	2	no	—
1124	C₂²⋊C₄	—	146	2	no	—
1125	C₂²⋊C₄	—	146	1	no	—
1126	C₂²⋊C₄	—	146	2	no	—
1127	C₂²⋊C₄	D₄×D₇₃	1	2	yes	—
1128	C₄²	—	2	1	no	—
1129	C₄²	—	73	1	no	—
1130	C₄²	—	73	1	no	—
1131	C₄²	—	73	1	no	—
1132	C₄²	—	146	2	no	—
1133	C₄²	—	146	1	no	—
1134	C₄²	C₂³×D₇₃	1	1	yes	characteristic
1135	C₂³	—	2	1	no	—
1136	C₂³	—	2	2	no	—
1137	C₂³	—	4	4	no	—
1138	C₂³	—	4	4	no	—
1139	C₂³	—	8	2	no	—
1140	C₂³	—	292	2	no	—
1141	C₂³	—	292	2	no	—
1142	C₂³	—	292	4	no	—
1143	C₂³	—	292	4	no	—
1144	C₂³	—	292	2	no	—
1145	C₂³	—	292	2	no	—
1146	C₂³	—	292	4	no	—
1147	C₂³	—	292	4	no	—
1148	C₂³	—	292	4	no	—
1149	C₂³	—	292	4	no	—
1150	C₂³	—	292	4	no	—
1151	C₂³	—	292	4	no	—
1152	C₂³	—	292	4	no	—
1153	C₂³	—	584	2	no	—
1154	C₂³	—	584	2	no	—
1155	C₂³	—	584	2	no	—
1156	C₂³	—	584	32	no	—
1157	C₂³	—	73	8	no	—
1158	C₂³	—	73	2	no	—
1159	C₂³	—	73	1	no	—
1160	C₂³	—	146	4	no	—
1161	C₂³	—	146	2	no	—
1162	C₂³	—	146	1	no	—
1163	C₂³	C₂×D₄×D₇₃	1	2	yes	—
1164	Q₈	—	2	2	no	—
1165	Q₈	—	2	1	no	—
1166	Q₈	—	2	1	no	—
1167	Q₈	—	2	2	no	—
1168	Q₈	—	8	2	no	—
1169	Q₈	—	584	1	no	—
1170	Q₈	—	584	2	no	—
1171	Q₈	—	584	1	no	—
1172	Q₈	—	146	1	no	—
1173	Q₈	—	146	1	no	—
1174	D₄	—	2	1	no	—
1175	D₄	—	2	2	no	—
1176	D₄	—	2	2	no	—
1177	D₄	—	4	4	no	—
1178	D₄	—	4	4	no	—
1179	D₄	—	4	2	no	—
1180	D₄	—	8	1	no	—
1181	D₄	—	292	4	no	—
1182	D₄	—	292	4	no	—
1183	D₄	—	292	4	no	—
1184	D₄	—	292	4	no	—
1185	D₄	—	292	4	no	—
1186	D₄	—	292	4	no	—
1187	D₄	—	292	4	no	—
1188	D₄	—	292	4	no	—
1189	D₄	—	292	2	no	—
1190	D₄	—	584	1	no	—
1191	D₄	—	584	2	no	—
1192	D₄	—	73	8	no	—
1193	D₄	—	73	2	no	—
1194	D₄	—	73	4	no	—
1195	D₄	—	146	4	no	—
1196	D₄	—	146	2	no	—
1197	D₄	—	146	2	no	—
1198	D₄	—	146	1	no	—
1199	D₄	SD₁₆×D₇₃	1	4	yes	complemented
1200	D₄	#14556636	1	2	yes	—
1201	C₂×C₄	—	2	2	no	—
1202	C₂×C₄	—	2	2	no	—
1203	C₂×C₄	—	2	1	no	—
1204	C₂×C₄	—	2	1	no	—
1205	C₂×C₄	—	2	2	no	—
1206	C₂×C₄	—	2	1	no	—
1207	C₂×C₄	—	4	2	no	—
1208	C₂×C₄	—	8	2	no	—
1209	C₂×C₄	—	292	2	no	—
1210	C₂×C₄	—	292	2	no	—
1211	C₂×C₄	—	292	1	no	—
1212	C₂×C₄	—	292	2	no	—
1213	C₂×C₄	—	292	2	no	—
1214	C₂×C₄	—	292	2	no	—
1215	C₂×C₄	—	292	2	no	—
1216	C₂×C₄	—	292	2	no	—
1217	C₂×C₄	—	584	2	no	—
1218	C₂×C₄	—	584	2	no	—
1219	C₂×C₄	—	584	2	no	—
1220	C₂×C₄	—	73	1	no	—
1221	C₂×C₄	—	73	4	no	—
1222	C₂×C₄	—	73	1	no	—
1223	C₂×C₄	—	73	1	no	—
1224	C₂×C₄	—	73	2	no	—
1225	C₂×C₄	—	146	2	no	—
1226	C₂×C₄	—	146	1	no	—
1227	C₂×C₄	—	146	1	no	—
1228	C₂×C₄	—	146	1	no	—
1229	C₂×C₄	—	146	2	no	—
1230	C₂×C₄	—	146	1	no	—
1231	C₂×C₄	—	146	2	no	—
1232	C₂×C₄	—	146	1	no	—
1233	C₂×C₄	C₂×D₄×D₇₃	1	1	yes	characteristic
1234	C₂×C₄	C₂×D₄×D₇₃	1	2	yes	—
1235	C₂×C₄	C₂×D₄×D₇₃	1	1	yes	characteristic
1236	C₂×C₄	C₂⁴×D₇₃	1	1	yes	characteristic
1237	C₈	—	2	1	no	—
1238	C₈	—	2	1	no	—
1239	C₈	—	2	2	no	—
1240	C₈	—	146	2	no	—
1241	C₈	—	146	1	no	—
1242	C₈	—	146	1	no	—
1243	C₂²	—	2	2	no	—
1244	C₂²	—	2	2	no	—
1245	C₂²	—	2	2	no	—
1246	C₂²	—	4	1	no	—
1247	C₂²	—	4	1	no	—
1248	C₂²	—	4	2	no	—
1249	C₂²	—	4	2	no	—
1250	C₂²	—	4	2	no	—
1251	C₂²	—	8	8	no	—
1252	C₂²	—	292	8	no	—
1253	C₂²	—	292	8	no	—
1254	C₂²	—	292	1	no	—
1255	C₂²	—	292	1	no	—
1256	C₂²	—	292	2	no	—
1257	C₂²	—	292	2	no	—
1258	C₂²	—	292	2	no	—
1259	C₂²	—	584	8	no	—
1260	C₂²	—	584	8	no	—
1261	C₂²	—	584	8	no	—
1262	C₂²	—	584	8	no	—
1263	C₂²	—	73	2	no	—
1264	C₂²	—	73	4	no	—
1265	C₂²	—	146	2	no	—
1266	C₂²	—	146	1	no	—
1267	C₂²	—	146	2	no	—
1268	C₂²	—	146	1	no	—
1269	C₂²	—	146	2	no	—
1270	C₂²	C₂×SD₁₆×D₇₃	1	4	yes	—
1271	C₂²	C₂²×D₄×D₇₃	1	1	yes	characteristic
1272	C₄	—	2	2	no	—
1273	C₄	—	2	1	no	—
1274	C₄	—	4	1	no	—
1275	C₄	—	4	2	no	—
1276	C₄	—	4	1	no	—
1277	C₄	—	4	1	no	—
1278	C₄	—	292	1	no	—
1279	C₄	—	292	1	no	—
1280	C₄	—	292	2	no	—
1281	C₄	—	292	1	no	—
1282	C₄	—	73	2	no	—
1283	C₄	—	146	1	no	—
1284	C₄	—	146	2	no	—
1285	C₄	—	146	1	no	—
1286	C₄	C₂×SD₁₆×D₇₃	1	2	yes	—
1287	C₄	H(5,𝔽₂)×D₇₃	1	1	yes	characteristic
1288	C₄	C₂×#14556636	1	1	yes	characteristic
1289	C₂	—	2	4	no	—
1290	C₂	—	4	2	no	—
1291	C₂	—	8	2	no	—
1292	C₂	—	292	2	no	—
1293	C₂	—	584	2	no	—
1294	C₂	—	146	2	no	—
1295	C₂	—	146	4	no	—
1296	C₂	#22623559	1	1	yes	characteristic
1297	C₂	C₂²×SD₁₆×D₇₃	1	1	yes	characteristic
1298	C₂	#22624709	1	1	yes	characteristic

	subgroup	G/H
center	C₂²	C₂²×D₄×D₇₃
commutator, cosocle	C₂×C₄×C₇₃	C₂⁵
Frattini	C₂×C₄	C₂⁴×D₇₃
Fitting	D₄×SD₁₆×C₇₃	C₂
socle	C₂²×C₇₃	C₂³×D₄
prime radical	D₄²×D₇₃	C₂
hypercenter	D₄×SD₁₆	D₇₃
hypocenter	C₇₃	#61560
LCS	G ▷ C₂×C₄×C₇₃ ▷ C₂×C₇₃ ▷ C₇₃
UCS	C₁ ◁ C₂² ◁ C₄×D₄ ◁ D₄×SD₁₆

Complements

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

N	H ≅ G/N	type
1. #22623726	C₂	semidirect
3. #22621758	C₂	semidirect
4. #22621757	C₂	semidirect
5. #22621756	C₂	semidirect
6. #22621755	C₂	semidirect
7. #22621750	C₂	semidirect
8. #22621748	C₂	semidirect
9. #22621630	C₂	semidirect
10. D₄×#11924015	C₂	semidirect
11. #22621626	C₂	semidirect
12. SD₁₆×C₂²⋊D₇₃	C₂	semidirect
13. #22621620	C₂	semidirect
14. #22620871	C₂	semidirect
15. #22620868	C₂	semidirect
16. #22620686	C₂	semidirect
17. #22620683	C₂	semidirect
18. #22619938	C₂	semidirect
19. #22619937	C₂	semidirect
20. C₂×#17988736	C₂	semidirect
21. #450×D₇₃	C₂	semidirect
22. #22618952	C₂	semidirect
23. D₄×SD₁₆×C₇₃	C₂	semidirect
26. C₂²×#11924015	C₂²	semidirect
27. C₂×SD₁₆×D₇₃	C₂²	semidirect
28. C₂×SD₁₆×D₇₃	C₂²	semidirect
30. #17989297	C₂²	semidirect
32. #17989295	C₂²	semidirect
33. #17989294	C₂²	semidirect
35. #17989252	C₂²	semidirect
36. Q₈×C₂²⋊D₇₃	C₂²	semidirect
47. #17989142	C₂²	semidirect
48. #17989141	C₂²	semidirect
50. C₂×#14556567	C₂²	semidirect
51. C₂²⋊Q₈×D₇₃	C₂²	semidirect
58. #17988961	C₂²	semidirect
59. #17988958	C₂²	semidirect
60. #17988934	C₂²	semidirect
61. #17988933	C₂²	semidirect
62. #17988932	C₂²	semidirect
63. #17988919	C₂²	semidirect
64. #17988916	C₂²	semidirect
65. #17988916	C₂²	semidirect
66. #17988907	C₂²	semidirect
67. #17988906	C₂²	semidirect
68. #17988904	C₂²	semidirect
69. #17988903	C₂²	semidirect
70. #17988878	C₂²	semidirect
71. #17988877	C₂²	semidirect
72. #17988876	C₂²	semidirect
73. #17988875	C₂²	semidirect
74. #17988819	C₂²	semidirect
75. #17988819	C₂²	semidirect
76. #17988818	C₂²	semidirect
77. #17988816	C₂²	semidirect
78. #17988814	C₂²	semidirect
79. #17988813	C₂²	semidirect
80. #17988813	C₂²	semidirect
81. #17988791	C₂²	semidirect
82. #17988790	C₂²	semidirect
83. #17988789	C₂²	semidirect
84. #17988788	C₂²	semidirect
85. #17988787	C₂²	semidirect
86. #17988785	C₂²	semidirect
87. #17988785	C₂²	semidirect
88. #17988784	C₂²	semidirect
89. #17988740	C₂²	semidirect
91. #17988739	C₂²	semidirect
92. #17988738	C₂²	semidirect
93. #17988737	C₂²	semidirect
96. #17988736	C₂²	semidirect
97. #17988736	C₂²	semidirect
98. #17988736	C₂²	semidirect
99. #17988736	C₂²	semidirect
100. #17988736	C₂²	semidirect
101. #17988736	C₂²	semidirect
102. #17988736	C₂²	semidirect
103. #17988727	C₂²	semidirect
104. #17988726	C₂²	semidirect
105. #17988724	C₂²	semidirect
106. C₄×#11924017	C₂²	semidirect
107. SD₁₆×Dic₇₃	C₂²	semidirect
108. C₄×#11924015	C₂²	semidirect
109. C₄×#11924016	C₂²	semidirect
110. #17988672	C₂²	semidirect
111. C₈×D₂₉₂	C₂²	semidirect
112. D₄×#10596831	C₂²	semidirect
113. #17988652	C₂²	semidirect
114. C₈×C₂²⋊D₇₃	C₂²	semidirect
115. #17988650	C₂²	semidirect
116. #17988639	C₂²	semidirect
117. #17988638	C₂²	semidirect
118. C₂×#14556513	C₂²	semidirect
119. C₂×#14556512	C₂²	semidirect
120. #102×D₇₃	C₂²	semidirect
121. #102×D₇₃	C₂²	semidirect
122. C₂×#14556503	C₂²	semidirect
123. C₂²⋊C₈×D₇₃	C₂²	semidirect
124. C₂²×SD₁₆×C₇₃	C₂²	semidirect
125. D₄×Q₈×C₇₃	C₂²	semidirect
127. #492×C₇₃	C₂²	semidirect
128. #465×C₇₃	C₂²	semidirect
129. #461×C₇₃	C₂²	semidirect
130. #460×C₇₃	C₂²	semidirect
131. #450×C₇₃	C₂²	semidirect
132. #448×C₇₃	C₂²	semidirect
133. C₄×SD₁₆×C₇₃	C₂²	semidirect
134. C₈×D₄×C₇₃	C₂²	semidirect
136. C₂×Q₈×D₇₃	C₂³	semidirect
160. C₂×#11924017	C₂³	semidirect
162. C₂×#11924016	C₂³	semidirect
166. C₂×#11924015	C₂³	semidirect
167. C₂×#11924015	C₂³	semidirect
168. C₂×#11924015	C₂³	semidirect
171. C₂²×#10596831	C₂³	semidirect
172. C₂×C₈×D₇₃	C₂³	semidirect
173. C₂×C₈×D₇₃	C₂³	semidirect
174. #14556591	C₂³	semidirect
176. #14556590	C₂³	semidirect
178. #14556589	C₂³	semidirect
192. #14556570	C₂³	semidirect
205. #14556567	C₂³	semidirect
206. #14556567	C₂³	semidirect
224. Q₈×Dic₇₃	C₂³	semidirect
226. C₄×Dic₁₄₆	C₂³	semidirect
245. C₂×C₄⋊Dic₇₃	C₂³	semidirect
250. C₄⋊C₄×D₇₃	C₂³	semidirect
257. #14556523	C₂³	semidirect
258. #14556523	C₂³	semidirect
259. #14556522	C₂³	semidirect
260. #14556522	C₂³	semidirect
261. #14556522	C₂³	semidirect
262. C₄⋊#10596831	C₂³	semidirect
263. #14556520	C₂³	semidirect
264. #14556520	C₂³	semidirect
265. #14556516	C₂³	semidirect
266. #14556515	C₂³	semidirect
267. #14556515	C₂³	semidirect
268. #14556514	C₂³	semidirect
271. #14556513	C₂³	semidirect
272. #14556513	C₂³	semidirect
273. #14556513	C₂³	semidirect
276. #14556512	C₂³	semidirect
277. #14556512	C₂³	semidirect
278. #14556512	C₂³	semidirect
280. #14556511	C₂³	semidirect
281. C₂²⋊#10596831	C₂³	semidirect
285. #14556503	C₂³	semidirect
286. #14556503	C₂³	semidirect
287. C₄×#10596831	C₂³	semidirect
288. C₈×Dic₇₃	C₂³	semidirect
289. C₂²×Q₈×C₇₃	C₂³	semidirect
295. C₂×SD₁₆×C₇₃	C₂³	semidirect
296. C₂×SD₁₆×C₇₃	C₂³	semidirect
297. C₂×SD₁₆×C₇₃	C₂³	semidirect
298. C₂²×C₈×C₇₃	C₂³	semidirect
300. C₄⋊Q₈×C₇₃	C₂³	semidirect
303. C₂²⋊Q₈×C₇₃	C₂³	semidirect
307. C₄×Q₈×C₇₃	C₂³	semidirect
311. #106×C₇₃	C₂³	semidirect
312. C₄⋊C₈×C₇₃	C₂³	semidirect
313. #103×C₇₃	C₂³	semidirect
314. #103×C₇₃	C₂³	semidirect
316. #102×C₇₃	C₂³	semidirect
317. C₂²⋊C₈×C₇₃	C₂³	semidirect
318. C₄×C₈×C₇₃	C₂³	semidirect
371. D₄×D₇₃	SD₁₆	semidirect
511. C₂²×D₇₃	C₂×SD₁₆	semidirect
526. D₄×C₇₃	C₂×SD₁₆	semidirect
548. C₂²⋊D₇₃	C₂×SD₁₆	semidirect
567. D₂₉₂	C₂×SD₁₆	semidirect
581. C₄×D₇₃	C₂×SD₁₆	semidirect
663. D₄×SD₁₆	D₇₃	semidirect
673. C₇₃	#61560	semidirect
679. C₂²×SD₁₆	C₂×D₇₃	semidirect
688. D₄×Q₈	C₂×D₇₃	semidirect
713. #492	C₂×D₇₃	semidirect
735. #465	C₂×D₇₃	semidirect
739. #461	C₂×D₇₃	semidirect
745. #460	C₂×D₇₃	semidirect
760. #450	C₂×D₇₃	semidirect
764. #448	C₂×D₇₃	semidirect
770. C₄×SD₁₆	C₂×D₇₃	semidirect
776. C₈×D₄	C₂×D₇₃	semidirect
787. C₂²×Q₈	C₂²×D₇₃	semidirect
827. C₂×SD₁₆	C₂²×D₇₃	semidirect
828. C₂×SD₁₆	C₂²×D₇₃	semidirect
829. C₂×SD₁₆	C₂²×D₇₃	semidirect
833. C₂²×C₈	C₂²×D₇₃	semidirect
840. C₄⋊Q₈	C₂²×D₇₃	semidirect
871. C₂²⋊Q₈	C₂²×D₇₃	semidirect
896. C₄×Q₈	C₂²×D₇₃	semidirect
934. #106	C₂²×D₇₃	semidirect
938. C₄⋊C₈	C₂²×D₇₃	semidirect
943. #103	C₂²×D₇₃	semidirect
944. #103	C₂²×D₇₃	semidirect
958. #102	C₂²×D₇₃	semidirect
965. C₂²⋊C₈	C₂²×D₇₃	semidirect
968. C₄×C₈	C₂²×D₇₃	semidirect
1199. D₄	SD₁₆×D₇₃	semidirect

Maximal subgroups

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

subgroup	index
#22623726	2
D₄²×D₇₃	2
#22621758	2
#22621757	2
#22621756	2
#22621755	2
#22621750	2
#22621748	2
#22621630	2
D₄×#11924015	2
#22621626	2
SD₁₆×C₂²⋊D₇₃	2
#22621620	2
#22620871	2
#22620868	2
#22620686	2
#22620683	2
#22619938	2
#22619937	2
C₂×#17988736	2
#450×D₇₃	2
#22618952	2
D₄×SD₁₆×C₇₃	2
#61560	73