Subgroups — #33962956

Order 18688.

2572 conjugacy classes of subgroups.

The subgroup lattice has 1296 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#22623494	C₂	1	1	yes	maximal, characteristic, complemented
2	D₄²×D₇₃	C₂	1	1	yes	maximal, characteristic, complemented
3	#22622176	C₂	1	1	yes	maximal, characteristic, complemented
4	#22622175	C₂	1	1	yes	maximal, characteristic, complemented
5	#22622161	C₂	1	1	yes	maximal, characteristic, complemented
6	#22622159	C₂	1	1	yes	maximal, characteristic, complemented
7	#22622078	C₂	1	2	yes	maximal, complemented
8	#22622076	C₂	1	2	yes	maximal, complemented
9	#22621950	C₂	1	2	yes	maximal, complemented
10	#22621948	C₂	1	2	yes	maximal, complemented
11	#22621756	C₂	1	1	yes	maximal, characteristic, complemented
12	#22621755	C₂	1	1	yes	maximal, characteristic, complemented
13	#22621738	C₂	1	1	yes	maximal, characteristic, complemented
14	#22620302	C₂	1	1	yes	maximal, characteristic, complemented
15	#22619866	C₂	1	2	yes	maximal, complemented
16	#22619723	C₂	1	1	yes	maximal, characteristic, complemented
17	#22619547	C₂	1	2	yes	maximal, complemented
18	#22619406	C₂	1	1	yes	maximal, characteristic, complemented
19	#22619155	C₂	1	2	yes	maximal, complemented
20	C₄×#14556615	C₂	1	1	yes	maximal, characteristic, complemented
21	D₄×#11924011	C₂	1	1	yes	maximal, characteristic, complemented
22	C₂×#17988590	C₂	1	2	yes	maximal, complemented
23	C₇₃×#3294	C₂	1	1	yes	maximal, characteristic, complemented
24	C₂²×D₄×D₇₃	—	2	1	no	—
25	C₂²×D₄×D₇₃	C₂²	1	2	yes	—
26	C₂×#14556615	C₂²	1	1	yes	characteristic
27	C₂×#14556615	C₂²	1	2	yes	complemented
28	C₂²×#11924011	C₂²	1	2	yes	complemented
29	#17989311	C₂²	1	1	yes	characteristic, complemented
30	#17989302	C₂²	1	1	yes	characteristic, complemented
31	#17989294	C₂²	1	1	yes	characteristic, complemented
32	#17989289	C₂²	1	2	yes	complemented
33	#17989272	C₂²	1	2	yes	complemented
34	#17989271	—	2	1	no	—
35	#17989260	—	2	2	no	—
36	#17989225	—	2	1	no	—
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	#17989142	C₂²	1	1	yes	characteristic, complemented
46	#127×D₇₃	C₂²	1	1	yes	characteristic
47	#17989123	—	2	1	no	—
48	#17989114	—	2	2	no	—
49	#17989097	C₂²	1	2	yes	complemented
50	#121×D₇₃	—	2	1	no	—
51	#121×D₇₃	C₂²	1	2	yes	—
52	#120×D₇₃	—	2	2	no	—
53	#41×Dic₇₃	—	2	1	no	—
54	C₄×#11924027	C₂²	1	1	yes	characteristic, complemented
55	C₄×D₄×D₇₃	C₂²	1	1	yes	characteristic
56	C₄×D₄×D₇₃	C₂²	1	1	yes	characteristic
57	C₂×#14556549	C₂²	1	2	yes	complemented
58	#17988950	C₂²	1	2	yes	complemented
59	#17988950	C₂²	1	2	yes	complemented
60	#17988935	C₂²	1	1	yes	characteristic, complemented
61	#17988934	C₂²	1	1	yes	characteristic, complemented
62	#17988933	C₂²	1	1	yes	characteristic, complemented
63	#17988914	C₂²	1	2	yes	complemented
64	#17988914	C₂²	1	2	yes	complemented
65	#17988910	C₂²	1	2	yes	complemented
66	#17988910	C₂²	1	2	yes	complemented
67	#17988906	C₂²	1	2	yes	complemented
68	#17988903	C₂²	1	2	yes	complemented
69	#17988900	C₂²	1	2	yes	complemented
70	#17988890	C₂²	1	2	yes	complemented
71	#17988889	C₂²	1	2	yes	complemented
72	#17988878	C₂²	1	1	yes	characteristic, complemented
73	#17988877	C₂²	1	1	yes	characteristic, complemented
74	#17988864	C₂²	1	1	yes	characteristic, complemented
75	#17988839	C₂²	1	2	yes	complemented
76	#17988837	C₂²	1	2	yes	complemented
77	#17988834	C₂²	1	2	yes	complemented
78	#17988832	C₂²	1	2	yes	complemented
79	#17988821	C₂²	1	2	yes	complemented
80	#17988816	C₂²	1	2	yes	complemented
81	#17988814	C₂²	1	2	yes	complemented
82	#17988788	C₂²	1	1	yes	characteristic, complemented
83	#17988786	C₂²	1	2	yes	complemented
84	#17988784	C₂²	1	1	yes	characteristic, complemented
85	#17988782	C₂²	1	1	yes	characteristic, complemented
86	#17988780	C₂²	1	2	yes	complemented
87	#17988740	C₂²	1	2	yes	complemented
88	#17988739	C₂²	1	2	yes	complemented
89	#17988739	C₂²	1	2	yes	complemented
90	#17988738	C₂²	1	2	yes	complemented
91	#17988720	C₂²	1	2	yes	complemented
92	#17988719	C₂²	1	2	yes	complemented
93	#17988719	C₂²	1	2	yes	complemented
94	#17988699	C₂²	1	1	yes	characteristic, complemented
95	#17988696	C₂²	1	1	yes	characteristic, complemented
96	#17988686	C₂²	1	1	yes	characteristic, complemented
97	#17988684	C₂²	1	1	yes	characteristic, complemented
98	C₄×#11924017	C₂²	1	1	yes	characteristic, complemented
99	C₄×#11924016	C₂²	1	1	yes	characteristic, complemented
100	C₄×#11924013	C₂²	1	1	yes	characteristic, complemented
101	#17988666	C₂²	1	1	yes	characteristic, complemented
102	#17988664	C₂²	1	1	yes	characteristic, complemented
103	#17988658	C₂²	1	2	yes	complemented
104	#17988655	C₂²	1	2	yes	complemented
105	D₄×#10596831	C₂²	1	1	yes	characteristic, complemented
106	#17988628	C₂²	1	2	yes	complemented
107	#17988628	C₂²	1	1	yes	characteristic, complemented
108	#17988609	C₂²	1	1	yes	characteristic, complemented
109	#17988590	C₂²	1	2	yes	—
110	#17988590	C₂²	1	1	yes	characteristic
111	#17988590	C₂²	1	2	yes	complemented
112	#17988590	C₂²	1	2	yes	complemented
113	#17988590	C₂²	1	2	yes	complemented
114	#17988590	C₂²	1	2	yes	complemented
115	#17988590	C₂²	1	2	yes	complemented
116	#17988590	C₂²	1	2	yes	complemented
117	#17988590	C₂²	1	2	yes	complemented
118	#17988585	C₂²	1	1	yes	characteristic, complemented
119	C₂×#14556513	C₂²	1	2	yes	complemented
120	C₂×#14556512	C₂²	1	2	yes	complemented
121	C₂×#14556511	C₂²	1	2	yes	complemented
122	#17988549	C₂²	1	2	yes	complemented
123	C₄×#11924011	C₂²	1	1	yes	characteristic, complemented
124	#547×C₇₃	C₂²	1	1	yes	characteristic, complemented
125	D₄²×C₇₃	C₂²	1	1	yes	characteristic
126	#486×C₇₃	C₂²	1	1	yes	characteristic, complemented
127	#480×C₇₃	C₂²	1	2	yes	complemented
128	#474×C₇₃	C₂²	1	1	yes	characteristic, complemented
129	#466×C₇₃	C₂²	1	2	yes	complemented
130	#459×C₇₃	C₂²	1	1	yes	characteristic, complemented
131	#447×C₇₃	C₂²	1	2	yes	complemented
132	C₄×D₈×C₇₃	C₂²	1	1	yes	characteristic, complemented
133	C₈×D₄×C₇₃	C₂²	1	1	yes	characteristic, complemented
134	C₂×#102×C₇₃	C₂²	1	2	yes	complemented
135	C₂⁴×D₇₃	—	2	2	no	—
136	C₂×#11924027	C₂³	1	1	yes	characteristic
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	8	no	—
142	C₂×D₄×D₇₃	—	2	2	no	—
143	C₂×D₄×D₇₃	—	2	1	no	—
144	C₂×D₄×D₇₃	—	2	2	no	—
145	C₂×D₄×D₇₃	—	2	1	no	—
146	C₂×D₄×D₇₃	—	2	2	no	—
147	C₂×D₄×D₇₃	—	2	2	no	—
148	C₂×D₄×D₇₃	—	2	1	no	—
149	C₂×D₄×D₇₃	—	2	1	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	2	yes	—
154	C₂×D₄×D₇₃	C₂³	1	2	yes	—
155	C₂×D₄×D₇₃	C₂³	1	2	yes	—
156	C₂×D₄×D₇₃	C₂³	1	1	yes	characteristic
157	C₂²×C₄×D₇₃	—	2	1	no	—
158	C₂²×C₄×D₇₃	C₂³	1	2	yes	—
159	#14556615	—	2	4	no	—
160	#14556615	—	4	4	no	—
161	C₂×#11924017	C₂³	1	1	yes	characteristic
162	C₂×#11924017	C₂³	1	2	yes	complemented
163	C₂×#11924016	C₂³	1	1	yes	characteristic
164	C₂×#11924016	C₂³	1	2	yes	complemented
165	C₂×#11924013	C₂³	1	1	yes	characteristic
166	C₂×#11924013	C₂³	1	2	yes	complemented
167	C₂×#11924011	—	4	4	no	—
168	C₂×#11924011	C₂³	1	2	yes	—
169	C₂×#11924011	C₂³	1	1	yes	characteristic
170	C₂×#11924011	C₂³	1	1	yes	characteristic
171	C₂×#11924011	C₂³	1	2	yes	complemented
172	C₂×#11924011	C₂³	1	2	yes	complemented
173	C₂²×#10596831	C₂³	1	2	yes	complemented
174	#14556591	C₂³	1	1	yes	characteristic, complemented
175	#14556588	C₂³	1	1	yes	characteristic
176	#14556587	—	2	1	no	—
177	#14556587	—	2	1	no	—
178	#14556587	C₂³	1	2	yes	—
179	#14556586	—	2	2	no	—
180	#14556586	—	2	2	no	—
181	#14556584	—	2	2	no	—
182	#14556582	—	2	1	no	—
183	#14556582	C₂³	1	2	yes	complemented
184	#14556581	—	2	2	no	—
185	#14556580	—	2	1	no	—
186	#14556577	—	2	2	no	—
187	#14556575	—	2	2	no	—
188	#14556574	—	2	2	no	—
189	#14556573	—	2	2	no	—
190	#14556571	—	2	1	no	—
191	#14556571	C₂³	1	2	yes	complemented
192	#14556570	C₂³	1	2	yes	complemented
193	#14556568	—	2	2	no	—
194	#14556567	—	2	1	no	—
195	#14556566	—	2	1	no	—
196	#14556566	C₂³	1	2	yes	—
197	#14556565	—	2	1	no	—
198	#14556565	—	2	1	no	—
199	#14556565	C₂³	1	2	yes	—
200	#14556564	—	2	2	no	—
201	#14556564	—	2	2	no	—
202	#14556563	—	2	2	no	—
203	#14556563	—	2	2	no	—
204	#14556563	—	2	2	no	—
205	#14556562	—	2	1	no	—
206	#14556562	C₂³	1	2	yes	—
207	#14556562	C₂³	1	2	yes	complemented
208	#14556561	—	2	2	no	—
209	#14556561	—	2	2	no	—
210	#14556561	—	2	2	no	—
211	#14556560	—	2	2	no	—
212	#14556559	—	2	2	no	—
213	#14556559	—	2	2	no	—
214	#14556559	—	2	2	no	—
215	#14556559	—	2	2	no	—
216	Q₈×Dic₇₃	—	2	1	no	—
217	Q₈×Dic₇₃	—	2	1	no	—
218	C₄×Dic₁₄₆	C₂³	1	1	yes	characteristic, complemented
219	#14556556	—	2	1	no	—
220	#14556556	C₂³	1	1	yes	characteristic, complemented
221	C₄×D₂₉₂	C₂³	1	1	yes	characteristic
222	C₄×D₂₉₂	C₂³	1	1	yes	characteristic
223	D₄×Dic₇₃	—	2	2	no	—
224	D₄×Dic₇₃	—	2	2	no	—
225	D₄×Dic₇₃	—	2	1	no	—
226	D₄×Dic₇₃	D₄	1	1	yes	characteristic
227	D₄×Dic₇₃	C₂³	1	1	yes	characteristic
228	D₄×Dic₇₃	C₂³	1	1	yes	characteristic, complemented
229	#14556553	D₄	1	1	yes	characteristic
230	#14556553	C₂³	1	1	yes	characteristic
231	C₄×C₂²⋊D₇₃	—	2	1	no	—
232	C₄×C₂²⋊D₇₃	—	2	1	no	—
233	C₄×C₂²⋊D₇₃	C₂³	1	2	yes	—
234	#14556551	—	2	2	no	—
235	#14556551	—	2	1	no	—
236	#14556551	—	2	1	no	—
237	#14556551	D₄	1	2	yes	—
238	#14556550	—	2	1	no	—
239	#14556550	—	2	2	no	—
240	#14556549	—	2	2	no	—
241	#14556549	—	2	2	no	—
242	#14556549	C₂³	1	2	yes	—
243	#14556549	C₂³	1	1	yes	characteristic
244	#14556549	C₂³	1	2	yes	complemented
245	#14556549	C₂³	1	2	yes	complemented
246	#14556547	—	2	1	no	—
247	C₂×C₄⋊Dic₇₃	C₂³	1	2	yes	complemented
248	C₄⋊C₄×D₇₃	D₄	1	1	yes	characteristic
249	C₄⋊C₄×D₇₃	C₂³	1	1	yes	characteristic
250	C₂×#11924005	—	2	2	no	—
251	C₂²⋊C₄×D₇₃	—	2	1	no	—
252	C₂²⋊C₄×D₇₃	—	2	2	no	—
253	C₂²⋊C₄×D₇₃	D₄	1	2	yes	—
254	C₂×C₄×Dic₇₃	—	2	2	no	—
255	C₂×C₄×Dic₇₃	—	2	1	no	—
256	C₄²×D₇₃	C₂³	1	1	yes	characteristic
257	#14556524	C₂³	1	2	yes	complemented
258	#14556524	C₂³	1	1	yes	characteristic, complemented
259	#14556523	C₂³	1	2	yes	complemented
260	#14556523	C₂³	1	1	yes	characteristic, complemented
261	#14556522	C₂³	1	2	yes	complemented
262	#14556522	C₂³	1	1	yes	characteristic, complemented
263	C₄⋊#10596831	C₂³	1	1	yes	characteristic, complemented
264	#14556520	C₂³	1	2	yes	complemented
265	#14556516	C₂³	1	1	yes	characteristic, complemented
266	#14556514	C₂³	1	1	yes	characteristic, complemented
267	#14556513	C₂³	1	2	yes	—
268	#14556513	C₂³	1	1	yes	characteristic
269	#14556513	C₂³	1	2	yes	complemented
270	#14556513	C₂³	1	2	yes	complemented
271	#14556513	C₂³	1	2	yes	complemented
272	#14556512	C₂³	1	2	yes	—
273	#14556512	C₂³	1	1	yes	characteristic
274	#14556512	C₂³	1	2	yes	complemented
275	#14556512	C₂³	1	2	yes	complemented
276	#14556512	C₂³	1	1	yes	characteristic, complemented
277	#14556512	C₂³	1	2	yes	complemented
278	#14556511	C₂³	1	2	yes	—
279	#14556511	C₂³	1	1	yes	characteristic
280	#14556511	C₂³	1	2	yes	complemented
281	#14556511	C₂³	1	2	yes	complemented
282	#14556511	C₂³	1	2	yes	complemented
283	C₂²⋊#10596831	C₂³	1	2	yes	complemented
284	#14556503	C₂³	1	2	yes	complemented
285	#14556503	C₂³	1	2	yes	complemented
286	#14556501	C₂³	1	1	yes	characteristic, complemented
287	#14556501	C₂³	1	1	yes	characteristic, complemented
288	C₄×#10596831	C₂³	1	1	yes	characteristic, complemented
289	C₂×#41×C₇₃	—	2	1	no	—
290	C₂²×D₄×C₇₃	—	2	1	no	—
291	C₂²×D₄×C₇₃	C₂³	1	2	yes	—
292	C₂×D₈×C₇₃	C₂³	1	1	yes	characteristic
293	C₂×D₈×C₇₃	C₂³	1	2	yes	complemented
294	C₂²×C₈×C₇₃	C₂³	1	2	yes	complemented
295	C₄⋊Q₈×C₇₃	C₂³	1	1	yes	characteristic, complemented
296	#127×C₇₃	C₂³	1	1	yes	characteristic
297	#123×C₇₃	—	2	2	no	—
298	C₂²⋊Q₈×C₇₃	—	2	1	no	—
299	#121×C₇₃	—	2	1	no	—
300	#121×C₇₃	C₂³	1	2	yes	—
301	#121×C₇₃	C₂³	1	2	yes	complemented
302	#120×C₇₃	—	2	2	no	—
303	C₄×D₄×C₇₃	C₂³	1	1	yes	characteristic
304	C₄×D₄×C₇₃	C₂³	1	1	yes	characteristic
305	C₄×D₄×C₇₃	C₂³	1	1	yes	characteristic, complemented
306	C₂×C₄⋊C₄×C₇₃	C₂³	1	2	yes	complemented
307	#107×C₇₃	C₂³	1	2	yes	complemented
308	#107×C₇₃	C₂³	1	1	yes	characteristic, complemented
309	C₄⋊C₈×C₇₃	C₂³	1	1	yes	characteristic, complemented
310	#102×C₇₃	C₂³	1	2	yes	—
311	#102×C₇₃	C₂³	1	1	yes	characteristic
312	#102×C₇₃	C₂³	1	2	yes	complemented
313	#102×C₇₃	C₂³	1	2	yes	complemented
314	#102×C₇₃	C₂³	1	2	yes	complemented
315	#102×C₇₃	C₂³	1	1	yes	characteristic, complemented
316	C₂²⋊C₈×C₇₃	C₂³	1	2	yes	complemented
317	C₄×C₈×C₇₃	C₂³	1	1	yes	characteristic, complemented
318	C₂³×D₇₃	—	2	1	no	—
319	C₂³×D₇₃	—	2	2	no	—
320	C₂³×D₇₃	—	2	2	no	—
321	C₂³×D₇₃	—	2	2	no	—
322	C₂³×D₇₃	—	2	2	no	—
323	C₂³×D₇₃	—	4	8	no	—
324	C₂³×D₇₃	—	4	8	no	—
325	C₂³×D₇₃	—	8	4	no	—
326	C₂³×D₇₃	C₂×D₄	1	2	yes	—
327	#11924027	—	2	2	no	—
328	#11924027	—	2	2	no	—
329	C₂×Dic₁₄₆	—	2	1	no	—
330	C₂×Dic₁₄₆	C₂⁴	1	1	yes	characteristic
331	C₂×D₂₉₂	—	2	4	no	—
332	C₂×D₂₉₂	—	2	2	no	—
333	C₂×D₂₉₂	—	2	2	no	—
334	C₂×D₂₉₂	—	2	1	no	—
335	C₂×D₂₉₂	—	2	1	no	—
336	C₂×D₂₉₂	—	4	2	no	—
337	C₂×D₂₉₂	—	4	4	no	—
338	C₂×D₂₉₂	C₂×D₄	1	1	yes	characteristic
339	C₂×D₂₉₂	C₂⁴	1	2	yes	—
340	C₂×D₂₉₂	C₂⁴	1	1	yes	characteristic
341	C₂×C₂²⋊D₇₃	—	2	2	no	—
342	C₂×C₂²⋊D₇₃	—	2	1	no	—
343	C₂×C₂²⋊D₇₃	—	2	2	no	—
344	C₂×C₂²⋊D₇₃	—	2	2	no	—
345	C₂×C₂²⋊D₇₃	—	2	1	no	—
346	C₂×C₂²⋊D₇₃	—	2	2	no	—
347	C₂×C₂²⋊D₇₃	—	2	2	no	—
348	C₂×C₂²⋊D₇₃	—	2	2	no	—
349	C₂×C₂²⋊D₇₃	—	2	2	no	—
350	C₂×C₂²⋊D₇₃	—	2	2	no	—
351	C₂×C₂²⋊D₇₃	—	4	8	no	—
352	C₂×C₂²⋊D₇₃	—	4	8	no	—
353	C₂×C₂²⋊D₇₃	C₂×D₄	1	2	yes	—
354	D₄×D₇₃	—	2	4	no	—
355	D₄×D₇₃	—	2	4	no	—
356	D₄×D₇₃	—	2	4	no	—
357	D₄×D₇₃	—	2	4	no	—
358	D₄×D₇₃	—	2	2	no	—
359	D₄×D₇₃	—	2	4	no	—
360	D₄×D₇₃	—	4	2	no	—
361	D₄×D₇₃	—	4	2	no	—
362	D₄×D₇₃	—	4	8	no	—
363	D₄×D₇₃	—	4	8	no	—
364	D₄×D₇₃	—	4	4	no	—
365	D₄×D₇₃	—	4	4	no	—
366	D₄×D₇₃	—	4	8	no	—
367	D₄×D₇₃	—	4	8	no	—
368	D₄×D₇₃	—	4	4	no	—
369	D₄×D₇₃	—	8	2	no	—
370	D₄×D₇₃	#41	1	4	yes	complemented
371	C₂²×Dic₇₃	—	2	2	no	—
372	C₂²×Dic₇₃	—	2	1	no	—
373	C₂²×Dic₇₃	—	2	1	no	—
374	C₂²×Dic₇₃	—	2	1	no	—
375	C₂²×Dic₇₃	C₂×D₄	1	2	yes	—
376	C₂×C₄×D₇₃	—	2	4	no	—
377	C₂×C₄×D₇₃	—	2	4	no	—
378	C₂×C₄×D₇₃	—	2	1	no	—
379	C₂×C₄×D₇₃	—	2	1	no	—
380	C₂×C₄×D₇₃	—	2	1	no	—
381	C₂×C₄×D₇₃	—	4	4	no	—
382	C₂×C₄×D₇₃	C₂×D₄	1	1	yes	characteristic
383	C₂×C₄×D₇₃	C₂×D₄	1	2	yes	—
384	C₂×C₄×D₇₃	C₂×D₄	1	2	yes	—
385	C₂×C₄×D₇₃	C₂×D₄	1	1	yes	characteristic
386	C₂×C₄×D₇₃	C₂⁴	1	2	yes	—
387	C₂×C₄×D₇₃	C₂⁴	1	1	yes	characteristic
388	#11924017	—	2	2	no	—
389	#11924017	—	4	2	no	—
390	#11924016	—	2	2	no	—
391	#11924016	—	4	2	no	—
392	#11924013	—	2	2	no	—
393	#11924013	—	4	2	no	—
394	#11924011	—	2	2	no	—
395	#11924011	—	2	2	no	—
396	#11924011	—	2	4	no	—
397	#11924011	—	4	2	no	—
398	#11924011	—	4	2	no	—
399	C₂×#10596831	—	4	2	no	—
400	C₂×#10596831	C₂⁴	1	1	yes	characteristic
401	C₂×#10596831	C₂⁴	1	1	yes	characteristic
402	C₂×#10596831	C₂⁴	1	2	yes	—
403	C₄⋊Dic₇₃	—	2	2	no	—
404	C₄⋊Dic₇₃	—	2	1	no	—
405	C₄⋊Dic₇₃	—	2	2	no	—
406	C₄⋊Dic₇₃	—	2	2	no	—
407	C₄⋊Dic₇₃	C₂×D₄	1	1	yes	characteristic
408	C₄⋊Dic₇₃	C₂⁴	1	1	yes	characteristic
409	C₄⋊Dic₇₃	C₂⁴	1	2	yes	—
410	C₄⋊Dic₇₃	C₂⁴	1	1	yes	characteristic
411	#11924007	—	2	1	no	—
412	#11924007	—	2	2	no	—
413	#11924007	—	2	1	no	—
414	#11924007	—	2	1	no	—
415	#11924007	—	2	2	no	—
416	#11924007	C₂×D₄	1	2	yes	—
417	C₂²⋊Dic₇₃	—	2	2	no	—
418	C₂²⋊Dic₇₃	—	2	1	no	—
419	C₂²⋊Dic₇₃	—	2	2	no	—
420	C₂²⋊Dic₇₃	—	2	1	no	—
421	C₂²⋊Dic₇₃	—	2	2	no	—
422	C₂²⋊Dic₇₃	C₂×D₄	1	2	yes	—
423	#11924005	—	2	1	no	—
424	#11924005	—	2	2	no	—
425	#11924005	—	2	2	no	—
426	#11924005	—	2	2	no	—
427	#11924005	—	2	2	no	—
428	#11924005	—	2	1	no	—
429	#11924005	—	2	2	no	—
430	#11924005	—	2	1	no	—
431	#11924005	—	2	2	no	—
432	#11924005	C₂×D₄	1	2	yes	—
433	#11924005	C₂×D₄	1	2	yes	—
434	C₄×Dic₇₃	—	2	1	no	—
435	C₄×Dic₇₃	—	2	1	no	—
436	C₄×Dic₇₃	—	2	2	no	—
437	C₄×Dic₇₃	—	2	2	no	—
438	C₄×Dic₇₃	—	2	2	no	—
439	C₄×Dic₇₃	—	2	1	no	—
440	C₄×Dic₇₃	C₂×D₄	1	1	yes	characteristic
441	C₄×Dic₇₃	C₂×D₄	1	1	yes	characteristic
442	C₄×Dic₇₃	C₂⁴	1	1	yes	characteristic
443	C₂⁴×C₇₃	—	2	2	no	—
444	#41×C₇₃	—	4	4	no	—
445	C₂×Q₈×C₇₃	—	2	1	no	—
446	C₂×D₄×C₇₃	—	2	4	no	—
447	C₂×D₄×C₇₃	—	2	2	no	—
448	C₂×D₄×C₇₃	—	2	2	no	—
449	C₂×D₄×C₇₃	—	2	2	no	—
450	C₂×D₄×C₇₃	—	2	1	no	—
451	C₂×D₄×C₇₃	—	2	1	no	—
452	C₂×D₄×C₇₃	—	4	2	no	—
453	C₂×D₄×C₇₃	—	4	4	no	—
454	C₂×D₄×C₇₃	C₂×D₄	1	1	yes	characteristic
455	C₂×D₄×C₇₃	C₂⁴	1	2	yes	—
456	C₂×D₄×C₇₃	C₂⁴	1	1	yes	characteristic
457	C₂×D₄×C₇₃	C₂⁴	1	1	yes	characteristic
458	C₂²×C₄×C₇₃	—	2	2	no	—
459	C₂²×C₄×C₇₃	—	2	1	no	—
460	C₂²×C₄×C₇₃	—	2	1	no	—
461	C₂²×C₄×C₇₃	C₂⁴	1	2	yes	—
462	D₈×C₇₃	—	2	2	no	—
463	D₈×C₇₃	—	4	2	no	—
464	C₂×C₈×C₇₃	—	4	2	no	—
465	C₂×C₈×C₇₃	C₂⁴	1	1	yes	characteristic
466	C₂×C₈×C₇₃	C₂⁴	1	1	yes	characteristic
467	C₂×C₈×C₇₃	C₂⁴	1	2	yes	—
468	C₄⋊C₄×C₇₃	—	2	2	no	—
469	C₄⋊C₄×C₇₃	—	2	1	no	—
470	C₄⋊C₄×C₇₃	C₂×D₄	1	1	yes	characteristic
471	C₄⋊C₄×C₇₃	C₂⁴	1	1	yes	characteristic
472	C₄⋊C₄×C₇₃	C₂⁴	1	2	yes	—
473	C₄⋊C₄×C₇₃	C₂⁴	1	1	yes	characteristic
474	C₂²⋊C₄×C₇₃	—	2	1	no	—
475	C₂²⋊C₄×C₇₃	—	2	1	no	—
476	C₂²⋊C₄×C₇₃	—	2	2	no	—
477	C₂²⋊C₄×C₇₃	—	2	2	no	—
478	C₂²⋊C₄×C₇₃	C₂×D₄	1	2	yes	—
479	C₄²×C₇₃	C₂⁴	1	1	yes	characteristic
480	C₂³×C₇₃	—	2	1	no	—
481	C₂³×C₇₃	—	2	1	no	—
482	C₂³×C₇₃	—	2	2	no	—
483	C₂³×C₇₃	—	4	4	no	—
484	C₂³×C₇₃	—	4	4	no	—
485	C₂³×C₇₃	—	8	2	no	—
486	C₂³×C₇₃	C₂²×D₄	1	2	yes	—
487	C₂²×D₇₃	—	2	4	no	—
488	C₂²×D₇₃	—	2	1	no	—
489	C₂²×D₇₃	—	2	4	no	—
490	C₂²×D₇₃	—	2	4	no	—
491	C₂²×D₇₃	—	2	2	no	—
492	C₂²×D₇₃	—	4	2	no	—
493	C₂²×D₇₃	—	4	4	no	—
494	C₂²×D₇₃	—	4	2	no	—
495	C₂²×D₇₃	—	4	2	no	—
496	C₂²×D₇₃	—	4	4	no	—
497	C₂²×D₇₃	—	4	4	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	4	no	—
503	C₂²×D₇₃	—	4	4	no	—
504	C₂²×D₇₃	—	8	2	no	—
505	C₂²×D₇₃	—	8	2	no	—
506	C₂²×D₇₃	—	8	2	no	—
507	C₂²×D₇₃	—	8	32	no	—
508	C₂²×D₇₃	C₂²×D₄	1	2	yes	—
509	C₂²×D₇₃	C₂²×D₄	1	1	yes	characteristic
510	Q₈×C₇₃	—	4	2	no	—
511	D₄×C₇₃	—	2	1	no	—
512	D₄×C₇₃	—	2	2	no	—
513	D₄×C₇₃	—	2	1	no	—
514	D₄×C₇₃	—	2	1	no	—
515	D₄×C₇₃	—	2	2	no	—
516	D₄×C₇₃	—	4	4	no	—
517	D₄×C₇₃	—	4	4	no	—
518	D₄×C₇₃	—	4	4	no	—
519	D₄×C₇₃	—	4	2	no	—
520	D₄×C₇₃	—	8	1	no	—
521	D₄×C₇₃	AGL(1,ℤ/8)	1	4	yes	complemented
522	D₄×C₇₃	C₂×#41	1	2	yes	—
523	C₂×C₄×C₇₃	—	2	2	no	—
524	C₂×C₄×C₇₃	—	2	2	no	—
525	C₂×C₄×C₇₃	—	2	1	no	—
526	C₂×C₄×C₇₃	—	2	1	no	—
527	C₂×C₄×C₇₃	—	2	2	no	—
528	C₂×C₄×C₇₃	—	4	4	no	—
529	C₂×C₄×C₇₃	—	4	2	no	—
530	C₂×C₄×C₇₃	—	4	2	no	—
531	C₂×C₄×C₇₃	C₂²×D₄	1	1	yes	characteristic
532	C₂×C₄×C₇₃	C₂²×D₄	1	2	yes	—
533	C₂×C₄×C₇₃	C₂²×D₄	1	1	yes	characteristic
534	C₂×C₄×C₇₃	C₂⁵	1	1	yes	characteristic
535	C₂²⋊D₇₃	—	2	4	no	—
536	C₂²⋊D₇₃	—	2	4	no	—
537	C₂²⋊D₇₃	—	4	4	no	—
538	C₂²⋊D₇₃	—	4	4	no	—
539	C₂²⋊D₇₃	—	4	4	no	—
540	C₂²⋊D₇₃	—	4	4	no	—
541	C₂²⋊D₇₃	—	4	4	no	—
542	C₂²⋊D₇₃	—	4	2	no	—
543	C₂²⋊D₇₃	—	4	4	no	—
544	C₂²⋊D₇₃	—	8	2	no	—
545	C₂²⋊D₇₃	—	8	2	no	—
546	C₂×Dic₇₃	—	2	4	no	—
547	C₂×Dic₇₃	—	2	1	no	—
548	C₂×Dic₇₃	—	2	1	no	—
549	C₂×Dic₇₃	—	2	2	no	—
550	C₂×Dic₇₃	—	2	1	no	—
551	C₂×Dic₇₃	—	4	2	no	—
552	C₂×Dic₇₃	—	4	2	no	—
553	C₂×Dic₇₃	—	8	1	no	—
554	C₂×Dic₇₃	—	8	2	no	—
555	C₂×Dic₇₃	C₂²×D₄	1	2	yes	—
556	C₂×Dic₇₃	C₂²×D₄	1	1	yes	characteristic
557	C₂×Dic₇₃	C₂²×D₄	1	1	yes	characteristic
558	C₂×Dic₇₃	C₂²×D₄	1	1	yes	characteristic
559	D₂₉₂	—	2	2	no	—
560	D₂₉₂	—	2	2	no	—
561	D₂₉₂	—	2	1	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×#41	1	2	yes	—
568	C₄×D₇₃	—	2	4	no	—
569	C₄×D₇₃	—	2	2	no	—
570	C₄×D₇₃	—	2	2	no	—
571	C₄×D₇₃	—	2	2	no	—
572	C₄×D₇₃	—	2	4	no	—
573	C₄×D₇₃	—	4	1	no	—
574	C₄×D₇₃	—	4	2	no	—
575	C₄×D₇₃	—	4	2	no	—
576	C₄×D₇₃	—	4	2	no	—
577	C₄×D₇₃	C₂×#41	1	2	yes	—
578	C₄×D₇₃	H(5,𝔽₂)	1	2	yes	—
579	Dic₁₄₆	—	2	1	no	—
580	Dic₁₄₆	—	2	1	no	—
581	Dic₁₄₆	—	8	1	no	—
582	C₈×C₇₃	—	2	1	no	—
583	C₈×C₇₃	—	2	1	no	—
584	C₈×C₇₃	—	2	2	no	—
585	#10596831	—	2	1	no	—
586	#10596831	—	2	1	no	—
587	#10596831	—	2	2	no	—
588	C₂²×C₇₃	—	2	2	no	—
589	C₂²×C₇₃	—	2	2	no	—
590	C₂²×C₇₃	—	2	2	no	—
591	C₂²×C₇₃	—	4	1	no	—
592	C₂²×C₇₃	—	4	1	no	—
593	C₂²×C₇₃	—	4	1	no	—
594	C₂²×C₇₃	—	4	2	no	—
595	C₂²×C₇₃	—	4	1	no	—
596	C₂²×C₇₃	—	4	2	no	—
597	C₂²×C₇₃	—	4	2	no	—
598	C₂²×C₇₃	—	4	1	no	—
599	C₂²×C₇₃	—	8	8	no	—
600	C₂²×C₇₃	C₂×AGL(1,ℤ/8)	1	4	yes	—
601	C₂²×C₇₃	C₂³×D₄	1	1	yes	characteristic
602	C₂×D₇₃	—	2	1	no	—
603	C₂×D₇₃	—	2	1	no	—
604	C₂×D₇₃	—	2	2	no	—
605	C₂×D₇₃	—	2	2	no	—
606	C₂×D₇₃	—	2	2	no	—
607	C₂×D₇₃	—	2	2	no	—
608	C₂×D₇₃	—	4	8	no	—
609	C₂×D₇₃	—	4	8	no	—
610	C₂×D₇₃	—	4	1	no	—
611	C₂×D₇₃	—	4	1	no	—
612	C₂×D₇₃	—	4	2	no	—
613	C₂×D₇₃	—	4	2	no	—
614	C₂×D₇₃	—	4	2	no	—
615	C₂×D₇₃	—	8	8	no	—
616	C₂×D₇₃	—	8	8	no	—
617	C₂×D₇₃	—	8	8	no	—
618	C₂×D₇₃	—	8	8	no	—
619	C₂×D₇₃	#546	1	2	yes	—
620	C₄×C₇₃	—	2	1	no	—
621	C₄×C₇₃	—	2	2	no	—
622	C₄×C₇₃	—	4	1	no	—
623	C₄×C₇₃	—	4	1	no	—
624	C₄×C₇₃	—	4	2	no	—
625	C₄×C₇₃	C₂×AGL(1,ℤ/8)	1	2	yes	—
626	C₄×C₇₃	C₂²×#41	1	1	yes	characteristic
627	C₄×C₇₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
628	Dic₇₃	—	2	1	no	—
629	Dic₇₃	—	2	2	no	—
630	Dic₇₃	—	2	1	no	—
631	Dic₇₃	—	4	2	no	—
632	Dic₇₃	—	4	1	no	—
633	Dic₇₃	—	4	1	no	—
634	Dic₇₃	—	4	1	no	—
635	Dic₇₃	#546	1	2	yes	—
636	#61155	—	73	1	no	maximal, Sylow
637	C₂×C₇₃	—	2	4	no	—
638	C₂×C₇₃	—	4	2	no	—
639	C₂×C₇₃	—	8	2	no	—
640	C₂×C₇₃	—	8	1	no	—
641	C₂×C₇₃	C₂×#546	1	1	yes	characteristic
642	C₂×C₇₃	C₂²×AGL(1,ℤ/8)	1	1	yes	characteristic
643	C₂×C₇₃	#3585	1	1	yes	characteristic
644	D₇₃	—	2	2	no	—
645	D₇₃	—	4	2	no	—
646	D₇₃	—	4	2	no	—
647	D₇₃	—	8	2	no	—
648	#3475	—	73	1	no	—
649	C₂×D₄²	—	73	1	no	—
650	#3325	—	73	1	no	—
651	#3325	—	73	1	no	—
652	#3324	—	73	1	no	—
653	#3324	—	73	1	no	—
654	#3318	—	73	2	no	—
655	#3318	—	73	2	no	—
656	#3310	—	73	2	no	—
657	#3310	—	73	2	no	—
658	#3295	—	73	1	no	—
659	#3295	—	73	1	no	—
660	#3294	—	73	1	no	—
661	#3294	D₇₃	1	1	yes	characteristic, complemented
662	#3138	—	73	1	no	—
663	#3094	—	73	2	no	—
664	#3077	—	73	1	no	—
665	#3055	—	73	2	no	—
666	#3038	—	73	1	no	—
667	#3003	—	73	2	no	—
668	C₄×AGL(1,ℤ/8)	—	73	1	no	—
669	D₄×M₁₆	—	73	1	no	—
670	C₂×#418	—	73	2	no	—
671	C₇₃	#61155	1	1	yes	characteristic, complemented, Sylow
672	C₂³×D₄	—	73	2	no	—
673	C₂³×D₄	—	146	1	no	—
674	C₂×AGL(1,ℤ/8)	—	73	1	no	—
675	C₂×AGL(1,ℤ/8)	—	73	2	no	—
676	C₂²×M₁₆	—	73	2	no	—
677	#556	—	73	1	no	—
678	#555	—	73	1	no	—
679	#554	—	73	1	no	—
680	#553	—	73	2	no	—
681	#552	—	73	2	no	—
682	#552	—	146	1	no	—
683	#551	—	146	2	no	—
684	#547	C₂×D₇₃	1	1	yes	characteristic, complemented
685	#546	—	146	1	no	—
686	D₄²	—	73	2	no	—
687	D₄²	—	73	1	no	—
688	D₄²	—	73	2	no	—
689	D₄²	—	73	1	no	—
690	D₄²	—	73	1	no	—
691	D₄²	—	146	2	no	—
692	D₄²	—	146	1	no	—
693	D₄²	—	146	1	no	—
694	D₄²	C₂×D₇₃	1	1	yes	characteristic
695	#533	—	73	1	no	—
696	C₂×#127	—	73	1	no	—
697	#529	—	146	1	no	—
698	#529	—	146	2	no	—
699	#525	—	73	2	no	—
700	C₂×#121	—	73	2	no	—
701	C₂×#121	—	146	1	no	—
702	C₂×#120	—	146	2	no	—
703	C₄×#41	—	73	1	no	—
704	C₄×#41	—	146	1	no	—
705	C₂×C₄×D₄	—	73	1	no	—
706	C₂×C₄×D₄	—	73	1	no	—
707	C₂×#117	—	73	2	no	—
708	#490	—	73	2	no	—
709	#490	—	73	2	no	—
710	#486	—	73	1	no	—
711	#486	—	73	1	no	—
712	#486	—	73	1	no	—
713	#486	C₂×D₇₃	1	1	yes	characteristic, complemented
714	#482	—	73	2	no	—
715	#482	—	73	2	no	—
716	#482	—	73	2	no	—
717	#482	—	73	2	no	—
718	#481	—	73	2	no	—
719	#481	—	73	2	no	—
720	#480	—	73	2	no	—
721	#480	C₂×D₇₃	1	2	yes	complemented
722	#478	—	73	2	no	—
723	#478	—	73	2	no	—
724	#476	—	73	1	no	—
725	#476	—	73	1	no	—
726	#474	—	73	1	no	—
727	#474	C₂×D₇₃	1	1	yes	characteristic, complemented
728	#469	—	73	2	no	—
729	#469	—	73	2	no	—
730	#468	—	73	2	no	—
731	#468	—	73	2	no	—
732	#466	—	73	2	no	—
733	#466	C₂×D₇₃	1	2	yes	complemented
734	#465	—	73	2	no	—
735	#465	—	73	2	no	—
736	#460	—	73	1	no	—
737	#460	—	73	1	no	—
738	#460	—	73	2	no	—
739	#459	—	73	2	no	—
740	#459	—	73	1	no	—
741	#459	C₂×D₇₃	1	1	yes	characteristic, complemented
742	#450	—	73	2	no	—
743	#450	—	73	2	no	—
744	#450	—	73	2	no	—
745	#450	—	73	2	no	—
746	#447	—	73	2	no	—
747	#447	—	73	2	no	—
748	#447	—	73	2	no	—
749	#447	C₂×D₇₃	1	2	yes	complemented
750	#442	—	73	1	no	—
751	#442	—	73	1	no	—
752	#440	—	73	1	no	—
753	#440	—	73	1	no	—
754	C₄×SD₁₆	—	73	1	no	—
755	C₄×SD₁₆	—	73	1	no	—
756	C₄×D₈	—	73	1	no	—
757	C₄×D₈	C₂×D₇₃	1	1	yes	characteristic, complemented
758	#436	—	73	1	no	—
759	#436	—	73	1	no	—
760	#435	—	73	2	no	—
761	#435	—	73	2	no	—
762	C₈×D₄	—	73	1	no	—
763	C₈×D₄	C₂×D₇₃	1	1	yes	characteristic, complemented
764	#428	—	73	2	no	—
765	#428	—	73	1	no	—
766	#423	—	73	1	no	—
767	#418	—	73	2	no	—
768	#418	—	73	1	no	—
769	#418	—	73	2	no	—
770	#418	—	73	2	no	—
771	#418	—	73	2	no	—
772	#418	—	73	2	no	—
773	#418	—	73	2	no	—
774	#418	—	73	2	no	—
775	#418	—	73	2	no	—
776	#417	—	73	1	no	—
777	C₂×#102	—	73	2	no	—
778	C₂×#102	—	73	2	no	—
779	C₂×#102	—	73	2	no	—
780	C₂×#102	C₂×D₇₃	1	2	yes	complemented
781	#407	—	73	2	no	—
782	C₄×M₁₆	—	73	1	no	—
783	C₂⁵	—	146	2	no	—
784	C₂×#41	—	2	1	no	—
785	C₂×#41	—	73	1	no	—
786	C₂²×D₄	—	2	1	no	—
787	C₂²×D₄	—	292	8	no	—
788	C₂²×D₄	—	292	4	no	—
789	C₂²×D₄	—	73	2	no	—
790	C₂²×D₄	—	73	2	no	—
791	C₂²×D₄	—	73	1	no	—
792	C₂²×D₄	—	73	1	no	—
793	C₂²×D₄	—	73	2	no	—
794	C₂²×D₄	—	73	2	no	—
795	C₂²×D₄	—	146	1	no	—
796	C₂²×D₄	—	146	2	no	—
797	C₂²×D₄	—	146	1	no	—
798	C₂²×D₄	—	146	2	no	—
799	C₂²×D₄	—	146	1	no	—
800	C₂²×D₄	—	146	2	no	—
801	C₂²×D₄	—	146	2	no	—
802	C₂²×D₄	—	146	1	no	—
803	C₂²×D₄	—	146	2	no	—
804	C₂²×D₄	—	146	8	no	—
805	C₂²×D₄	—	146	2	no	—
806	C₂²×D₄	—	146	1	no	—
807	C₂²×D₄	C₂²×D₇₃	1	2	yes	—
808	C₂³×C₄	—	73	2	no	—
809	C₂³×C₄	—	146	1	no	—
810	AGL(1,ℤ/8)	—	292	4	no	—
811	AGL(1,ℤ/8)	—	146	4	no	—
812	C₂×SD₁₆	—	73	2	no	—
813	C₂×SD₁₆	—	73	1	no	—
814	C₂×SD₁₆	—	73	2	no	—
815	C₂×SD₁₆	—	73	1	no	—
816	C₂×D₈	—	73	2	no	—
817	C₂×D₈	—	73	1	no	—
818	C₂×D₈	C₂²×D₇₃	1	1	yes	characteristic
819	C₂×D₈	C₂²×D₇₃	1	2	yes	complemented
820	C₂×M₁₆	—	292	4	no	—
821	C₂×M₁₆	—	73	2	no	—
822	C₂×M₁₆	—	73	2	no	—
823	C₂×M₁₆	—	73	1	no	—
824	C₂×M₁₆	—	73	2	no	—
825	C₂×M₁₆	—	73	1	no	—
826	C₂²×C₈	—	73	2	no	—
827	C₂²×C₈	C₂²×D₇₃	1	2	yes	complemented
828	C₄⋊Q₈	—	73	1	no	—
829	C₄⋊Q₈	C₂²×D₇₃	1	1	yes	characteristic, complemented
830	#127	—	73	2	no	—
831	#127	—	73	1	no	—
832	#127	—	146	1	no	—
833	#127	—	146	1	no	—
834	#127	C₂²×D₇₃	1	1	yes	characteristic
835	#126	—	146	2	no	—
836	#126	—	146	2	no	—
837	#126	—	146	2	no	—
838	#125	—	73	2	no	—
839	#125	—	146	2	no	—
840	#125	—	146	1	no	—
841	#124	—	146	2	no	—
842	#124	—	146	1	no	—
843	#123	—	2	2	no	—
844	#123	—	146	2	no	—
845	#123	—	146	2	no	—
846	#123	—	146	2	no	—
847	C₂²⋊Q₈	—	2	1	no	—
848	C₂²⋊Q₈	—	73	2	no	—
849	C₂²⋊Q₈	—	73	2	no	—
850	C₂²⋊Q₈	—	146	1	no	—
851	C₂²⋊Q₈	—	146	1	no	—
852	C₂²⋊Q₈	—	146	2	no	—
853	#121	—	2	1	no	—
854	#121	—	73	2	no	—
855	#121	—	73	2	no	—
856	#121	—	73	2	no	—
857	#121	—	73	2	no	—
858	#121	—	146	2	no	—
859	#121	—	146	2	no	—
860	#121	—	146	1	no	—
861	#121	—	146	1	no	—
862	#121	—	146	2	no	—
863	#121	—	146	1	no	—
864	#121	—	146	2	no	—
865	#121	—	146	2	no	—
866	#121	—	146	1	no	—
867	#121	C₂²×D₇₃	1	2	yes	—
868	#121	C₂²×D₇₃	1	2	yes	complemented
869	#120	—	2	2	no	—
870	#120	—	146	2	no	—
871	#120	—	146	2	no	—
872	#120	—	146	2	no	—
873	#120	—	146	2	no	—
874	#120	—	146	2	no	—
875	#120	—	146	2	no	—
876	#120	—	146	2	no	—
877	#120	—	146	2	no	—
878	C₄×Q₈	—	73	1	no	—
879	C₄×Q₈	—	73	1	no	—
880	C₄×Q₈	—	146	1	no	—
881	C₄×Q₈	—	146	1	no	—
882	C₄×Q₈	—	146	1	no	—
883	C₄×D₄	—	73	1	no	—
884	C₄×D₄	—	73	2	no	—
885	C₄×D₄	—	73	1	no	—
886	C₄×D₄	—	73	2	no	—
887	C₄×D₄	—	73	1	no	—
888	C₄×D₄	—	73	1	no	—
889	C₄×D₄	—	73	1	no	—
890	C₄×D₄	—	73	1	no	—
891	C₄×D₄	—	73	1	no	—
892	C₄×D₄	—	146	1	no	—
893	C₄×D₄	—	146	1	no	—
894	C₄×D₄	—	146	1	no	—
895	C₄×D₄	—	146	2	no	—
896	C₄×D₄	—	146	2	no	—
897	C₄×D₄	—	146	1	no	—
898	C₄×D₄	—	146	2	no	—
899	C₄×D₄	—	146	1	no	—
900	C₄×D₄	C₂²×D₇₃	1	1	yes	characteristic
901	C₄×D₄	C₂²×D₇₃	1	1	yes	characteristic
902	C₄×D₄	C₂²×D₇₃	1	1	yes	characteristic, complemented
903	#117	—	73	1	no	—
904	#117	—	73	2	no	—
905	#117	—	73	2	no	—
906	#117	—	73	2	no	—
907	#117	—	146	1	no	—
908	#117	—	146	2	no	—
909	#117	—	146	2	no	—
910	#117	—	146	2	no	—
911	#117	—	146	1	no	—
912	C₂×C₄⋊C₄	—	73	1	no	—
913	C₂×C₄⋊C₄	—	73	2	no	—
914	C₂×C₄⋊C₄	—	73	1	no	—
915	C₂×C₄⋊C₄	C₂²×D₇₃	1	2	yes	complemented
916	C₂×C₂²⋊C₄	—	73	2	no	—
917	C₂×C₂²⋊C₄	—	146	1	no	—
918	C₂×C₂²⋊C₄	—	146	2	no	—
919	C₂×C₂²⋊C₄	—	146	2	no	—
920	C₂×C₄²	—	73	1	no	—
921	C₂×C₄²	—	146	1	no	—
922	C₂×C₄²	—	146	2	no	—
923	#107	—	73	1	no	—
924	#107	—	73	2	no	—
925	#107	C₂²×D₇₃	1	1	yes	characteristic, complemented
926	#107	C₂²×D₇₃	1	2	yes	complemented
927	#106	—	73	1	no	—
928	#106	—	73	2	no	—
929	#106	—	73	1	no	—
930	#106	—	73	2	no	—
931	C₄⋊C₈	—	73	2	no	—
932	C₄⋊C₈	—	73	1	no	—
933	C₄⋊C₈	C₂²×D₇₃	1	1	yes	characteristic, complemented
934	#103	—	73	1	no	—
935	#103	—	73	1	no	—
936	#102	—	73	1	no	—
937	#102	—	73	2	no	—
938	#102	—	73	2	no	—
939	#102	—	73	2	no	—
940	#102	—	73	1	no	—
941	#102	—	73	2	no	—
942	#102	—	73	1	no	—
943	#102	—	73	2	no	—
944	#102	—	73	2	no	—
945	#102	—	73	2	no	—
946	#102	—	73	2	no	—
947	#102	—	73	1	no	—
948	#102	—	73	2	no	—
949	#102	—	73	2	no	—
950	#102	—	73	2	no	—
951	#102	—	73	2	no	—
952	#102	C₂²×D₇₃	1	1	yes	characteristic
953	#102	C₂²×D₇₃	1	2	yes	—
954	#102	C₂²×D₇₃	1	2	yes	complemented
955	#102	C₂²×D₇₃	1	2	yes	complemented
956	#102	C₂²×D₇₃	1	1	yes	characteristic, complemented
957	#102	C₂²×D₇₃	1	2	yes	complemented
958	C₂²⋊C₈	—	73	2	no	—
959	C₂²⋊C₈	—	73	2	no	—
960	C₂²⋊C₈	—	73	2	no	—
961	C₂²⋊C₈	C₂²×D₇₃	1	2	yes	complemented
962	#97	—	73	1	no	—
963	#97	—	73	1	no	—
964	C₄×C₈	—	73	1	no	—
965	C₄×C₈	C₂²×D₇₃	1	1	yes	characteristic, complemented
966	C₂⁴	—	2	2	no	—
967	C₂⁴	—	292	8	no	—
968	C₂⁴	—	292	8	no	—
969	C₂⁴	—	584	4	no	—
970	C₂⁴	—	73	2	no	—
971	C₂⁴	—	146	2	no	—
972	C₂⁴	—	146	2	no	—
973	C₂⁴	—	146	2	no	—
974	C₂⁴	—	146	1	no	—
975	C₂⁴	—	146	2	no	—
976	#41	—	4	4	no	—
977	#41	—	146	2	no	—
978	#41	—	146	2	no	—
979	C₂×Q₈	—	2	1	no	—
980	C₂×Q₈	—	73	1	no	—
981	C₂×Q₈	—	146	1	no	—
982	C₂×D₄	—	2	4	no	—
983	C₂×D₄	—	2	2	no	—
984	C₂×D₄	—	2	2	no	—
985	C₂×D₄	—	2	2	no	—
986	C₂×D₄	—	2	1	no	—
987	C₂×D₄	—	2	1	no	—
988	C₂×D₄	—	4	2	no	—
989	C₂×D₄	—	4	4	no	—
990	C₂×D₄	—	292	2	no	—
991	C₂×D₄	—	292	4	no	—
992	C₂×D₄	—	292	8	no	—
993	C₂×D₄	—	292	8	no	—
994	C₂×D₄	—	292	4	no	—
995	C₂×D₄	—	292	8	no	—
996	C₂×D₄	—	292	4	no	—
997	C₂×D₄	—	292	2	no	—
998	C₂×D₄	—	292	2	no	—
999	C₂×D₄	—	292	4	no	—
1000	C₂×D₄	—	292	8	no	—
1001	C₂×D₄	—	292	8	no	—
1002	C₂×D₄	—	292	8	no	—
1003	C₂×D₄	—	584	2	no	—
1004	C₂×D₄	—	73	4	no	—
1005	C₂×D₄	—	73	2	no	—
1006	C₂×D₄	—	73	1	no	—
1007	C₂×D₄	—	73	1	no	—
1008	C₂×D₄	—	73	2	no	—
1009	C₂×D₄	—	146	2	no	—
1010	C₂×D₄	—	146	4	no	—
1011	C₂×D₄	—	146	4	no	—
1012	C₂×D₄	—	146	4	no	—
1013	C₂×D₄	—	146	2	no	—
1014	C₂×D₄	—	146	2	no	—
1015	C₂×D₄	—	146	2	no	—
1016	C₂×D₄	—	146	2	no	—
1017	C₂×D₄	—	146	2	no	—
1018	C₂×D₄	—	146	2	no	—
1019	C₂×D₄	—	146	1	no	—
1020	C₂×D₄	—	146	4	no	—
1021	C₂×D₄	—	146	1	no	—
1022	C₂×D₄	—	146	2	no	—
1023	C₂×D₄	—	146	2	no	—
1024	C₂×D₄	—	146	4	no	—
1025	C₂×D₄	—	146	2	no	—
1026	C₂×D₄	—	146	4	no	—
1027	C₂×D₄	—	146	2	no	—
1028	C₂×D₄	—	146	1	no	—
1029	C₂×D₄	—	146	1	no	—
1030	C₂×D₄	D₄×D₇₃	1	1	yes	characteristic
1031	C₂×D₄	C₂³×D₇₃	1	2	yes	—
1032	C₂×D₄	C₂³×D₇₃	1	1	yes	characteristic
1033	C₂×D₄	C₂³×D₇₃	1	1	yes	characteristic
1034	C₂²×C₄	—	2	2	no	—
1035	C₂²×C₄	—	2	1	no	—
1036	C₂²×C₄	—	2	1	no	—
1037	C₂²×C₄	—	292	4	no	—
1038	C₂²×C₄	—	73	1	no	—
1039	C₂²×C₄	—	73	1	no	—
1040	C₂²×C₄	—	73	2	no	—
1041	C₂²×C₄	—	73	1	no	—
1042	C₂²×C₄	—	73	2	no	—
1043	C₂²×C₄	—	73	2	no	—
1044	C₂²×C₄	—	73	2	no	—
1045	C₂²×C₄	—	146	1	no	—
1046	C₂²×C₄	—	146	1	no	—
1047	C₂²×C₄	—	146	4	no	—
1048	C₂²×C₄	—	146	4	no	—
1049	C₂²×C₄	—	146	1	no	—
1050	C₂²×C₄	—	146	1	no	—
1051	C₂²×C₄	—	146	1	no	—
1052	C₂²×C₄	—	146	1	no	—
1053	C₂²×C₄	—	146	2	no	—
1054	C₂²×C₄	C₂³×D₇₃	1	2	yes	—
1055	SD₁₆	—	292	2	no	—
1056	SD₁₆	—	292	2	no	—
1057	SD₁₆	—	146	2	no	—
1058	SD₁₆	—	146	2	no	—
1059	D₈	—	2	2	no	—
1060	D₈	—	4	2	no	—
1061	D₈	—	292	2	no	—
1062	D₈	—	146	2	no	—
1063	M₁₆	—	292	2	no	—
1064	M₁₆	—	292	2	no	—
1065	M₁₆	—	146	2	no	—
1066	M₁₆	—	146	4	no	—
1067	M₁₆	—	146	2	no	—
1068	C₂×C₈	—	4	2	no	—
1069	C₂×C₈	—	292	2	no	—
1070	C₂×C₈	—	73	1	no	—
1071	C₂×C₈	—	73	1	no	—
1072	C₂×C₈	—	73	2	no	—
1073	C₂×C₈	C₂³×D₇₃	1	1	yes	characteristic
1074	C₂×C₈	C₂³×D₇₃	1	1	yes	characteristic
1075	C₂×C₈	C₂³×D₇₃	1	2	yes	—
1076	C₄⋊C₄	—	2	2	no	—
1077	C₄⋊C₄	—	2	1	no	—
1078	C₄⋊C₄	—	73	2	no	—
1079	C₄⋊C₄	—	73	1	no	—
1080	C₄⋊C₄	—	73	1	no	—
1081	C₄⋊C₄	—	73	2	no	—
1082	C₄⋊C₄	—	73	1	no	—
1083	C₄⋊C₄	—	146	1	no	—
1084	C₄⋊C₄	—	146	1	no	—
1085	C₄⋊C₄	—	146	2	no	—
1086	C₄⋊C₄	—	146	2	no	—
1087	C₄⋊C₄	—	146	2	no	—
1088	C₄⋊C₄	—	146	1	no	—
1089	C₄⋊C₄	—	146	2	no	—
1090	C₄⋊C₄	—	146	2	no	—
1091	C₄⋊C₄	—	146	1	no	—
1092	C₄⋊C₄	D₄×D₇₃	1	1	yes	characteristic
1093	C₄⋊C₄	C₂³×D₇₃	1	1	yes	characteristic
1094	C₄⋊C₄	C₂³×D₇₃	1	2	yes	—
1095	C₄⋊C₄	C₂³×D₇₃	1	1	yes	characteristic
1096	C₂²⋊C₄	—	2	1	no	—
1097	C₂²⋊C₄	—	2	2	no	—
1098	C₂²⋊C₄	—	2	1	no	—
1099	C₂²⋊C₄	—	2	2	no	—
1100	C₂²⋊C₄	—	73	2	no	—
1101	C₂²⋊C₄	—	73	2	no	—
1102	C₂²⋊C₄	—	73	2	no	—
1103	C₂²⋊C₄	—	146	1	no	—
1104	C₂²⋊C₄	—	146	2	no	—
1105	C₂²⋊C₄	—	146	1	no	—
1106	C₂²⋊C₄	—	146	2	no	—
1107	C₂²⋊C₄	—	146	2	no	—
1108	C₂²⋊C₄	—	146	2	no	—
1109	C₂²⋊C₄	—	146	2	no	—
1110	C₂²⋊C₄	—	146	1	no	—
1111	C₂²⋊C₄	—	146	2	no	—
1112	C₂²⋊C₄	—	146	1	no	—
1113	C₂²⋊C₄	—	146	2	no	—
1114	C₂²⋊C₄	—	146	2	no	—
1115	C₂²⋊C₄	—	146	1	no	—
1116	C₂²⋊C₄	—	146	2	no	—
1117	C₂²⋊C₄	D₄×D₇₃	1	2	yes	—
1118	C₄²	—	73	1	no	—
1119	C₄²	—	73	1	no	—
1120	C₄²	—	73	1	no	—
1121	C₄²	—	146	1	no	—
1122	C₄²	—	146	2	no	—
1123	C₄²	—	146	2	no	—
1124	C₄²	—	146	2	no	—
1125	C₄²	—	146	1	no	—
1126	C₄²	—	146	1	no	—
1127	C₄²	C₂³×D₇₃	1	1	yes	characteristic
1128	C₂³	—	2	1	no	—
1129	C₂³	—	2	1	no	—
1130	C₂³	—	2	2	no	—
1131	C₂³	—	4	4	no	—
1132	C₂³	—	4	4	no	—
1133	C₂³	—	8	2	no	—
1134	C₂³	—	292	2	no	—
1135	C₂³	—	292	4	no	—
1136	C₂³	—	292	4	no	—
1137	C₂³	—	292	2	no	—
1138	C₂³	—	292	2	no	—
1139	C₂³	—	292	4	no	—
1140	C₂³	—	292	4	no	—
1141	C₂³	—	292	4	no	—
1142	C₂³	—	292	4	no	—
1143	C₂³	—	292	4	no	—
1144	C₂³	—	292	4	no	—
1145	C₂³	—	292	4	no	—
1146	C₂³	—	584	2	no	—
1147	C₂³	—	584	2	no	—
1148	C₂³	—	584	2	no	—
1149	C₂³	—	584	32	no	—
1150	C₂³	—	73	1	no	—
1151	C₂³	—	73	2	no	—
1152	C₂³	—	146	4	no	—
1153	C₂³	—	146	4	no	—
1154	C₂³	—	146	2	no	—
1155	C₂³	—	146	1	no	—
1156	C₂³	—	146	4	no	—
1157	C₂³	C₂×D₄×D₇₃	1	2	yes	—
1158	Q₈	—	4	2	no	—
1159	Q₈	—	584	1	no	—
1160	Q₈	—	146	1	no	—
1161	Q₈	—	146	1	no	—
1162	D₄	—	2	1	no	—
1163	D₄	—	2	2	no	—
1164	D₄	—	2	1	no	—
1165	D₄	—	2	1	no	—
1166	D₄	—	2	2	no	—
1167	D₄	—	4	4	no	—
1168	D₄	—	4	4	no	—
1169	D₄	—	4	4	no	—
1170	D₄	—	4	2	no	—
1171	D₄	—	8	1	no	—
1172	D₄	—	292	4	no	—
1173	D₄	—	292	4	no	—
1174	D₄	—	292	2	no	—
1175	D₄	—	292	4	no	—
1176	D₄	—	292	4	no	—
1177	D₄	—	292	4	no	—
1178	D₄	—	292	4	no	—
1179	D₄	—	292	4	no	—
1180	D₄	—	292	4	no	—
1181	D₄	—	292	2	no	—
1182	D₄	—	584	1	no	—
1183	D₄	—	584	2	no	—
1184	D₄	—	584	2	no	—
1185	D₄	—	73	2	no	—
1186	D₄	—	146	4	no	—
1187	D₄	—	146	4	no	—
1188	D₄	—	146	2	no	—
1189	D₄	—	146	2	no	—
1190	D₄	—	146	1	no	—
1191	D₄	—	146	2	no	—
1192	D₄	#14556615	1	4	yes	complemented
1193	D₄	#41×D₇₃	1	2	yes	—
1194	C₂×C₄	—	2	2	no	—
1195	C₂×C₄	—	2	2	no	—
1196	C₂×C₄	—	2	1	no	—
1197	C₂×C₄	—	2	2	no	—
1198	C₂×C₄	—	2	1	no	—
1199	C₂×C₄	—	4	4	no	—
1200	C₂×C₄	—	4	2	no	—
1201	C₂×C₄	—	4	2	no	—
1202	C₂×C₄	—	292	1	no	—
1203	C₂×C₄	—	292	2	no	—
1204	C₂×C₄	—	292	2	no	—
1205	C₂×C₄	—	292	2	no	—
1206	C₂×C₄	—	292	2	no	—
1207	C₂×C₄	—	292	2	no	—
1208	C₂×C₄	—	584	2	no	—
1209	C₂×C₄	—	584	1	no	—
1210	C₂×C₄	—	73	1	no	—
1211	C₂×C₄	—	73	2	no	—
1212	C₂×C₄	—	73	2	no	—
1213	C₂×C₄	—	73	1	no	—
1214	C₂×C₄	—	73	1	no	—
1215	C₂×C₄	—	73	2	no	—
1216	C₂×C₄	—	146	4	no	—
1217	C₂×C₄	—	146	4	no	—
1218	C₂×C₄	—	146	1	no	—
1219	C₂×C₄	—	146	2	no	—
1220	C₂×C₄	—	146	1	no	—
1221	C₂×C₄	—	146	1	no	—
1222	C₂×C₄	—	146	4	no	—
1223	C₂×C₄	—	146	2	no	—
1224	C₂×C₄	—	146	2	no	—
1225	C₂×C₄	—	146	2	no	—
1226	C₂×C₄	C₂×D₄×D₇₃	1	1	yes	characteristic
1227	C₂×C₄	C₂×D₄×D₇₃	1	2	yes	—
1228	C₂×C₄	C₂×D₄×D₇₃	1	1	yes	characteristic
1229	C₂×C₄	C₂⁴×D₇₃	1	1	yes	characteristic
1230	C₈	—	2	1	no	—
1231	C₈	—	2	1	no	—
1232	C₈	—	2	2	no	—
1233	C₈	—	146	1	no	—
1234	C₈	—	146	1	no	—
1235	C₈	—	146	2	no	—
1236	C₂²	—	2	2	no	—
1237	C₂²	—	2	2	no	—
1238	C₂²	—	2	2	no	—
1239	C₂²	—	4	1	no	—
1240	C₂²	—	4	1	no	—
1241	C₂²	—	4	1	no	—
1242	C₂²	—	4	2	no	—
1243	C₂²	—	4	1	no	—
1244	C₂²	—	4	2	no	—
1245	C₂²	—	4	1	no	—
1246	C₂²	—	4	2	no	—
1247	C₂²	—	8	8	no	—
1248	C₂²	—	292	8	no	—
1249	C₂²	—	292	8	no	—
1250	C₂²	—	292	1	no	—
1251	C₂²	—	292	1	no	—
1252	C₂²	—	292	2	no	—
1253	C₂²	—	292	2	no	—
1254	C₂²	—	292	2	no	—
1255	C₂²	—	584	8	no	—
1256	C₂²	—	584	8	no	—
1257	C₂²	—	584	8	no	—
1258	C₂²	—	584	8	no	—
1259	C₂²	—	73	2	no	—
1260	C₂²	—	146	2	no	—
1261	C₂²	—	146	2	no	—
1262	C₂²	—	146	2	no	—
1263	C₂²	—	146	2	no	—
1264	C₂²	—	146	1	no	—
1265	C₂²	—	146	1	no	—
1266	C₂²	C₂×#14556615	1	4	yes	—
1267	C₂²	C₂²×D₄×D₇₃	1	1	yes	characteristic
1268	C₄	—	2	2	no	—
1269	C₄	—	2	1	no	—
1270	C₄	—	4	1	no	—
1271	C₄	—	4	1	no	—
1272	C₄	—	4	2	no	—
1273	C₄	—	292	1	no	—
1274	C₄	—	292	1	no	—
1275	C₄	—	292	1	no	—
1276	C₄	—	292	2	no	—
1277	C₄	—	73	2	no	—
1278	C₄	—	146	2	no	—
1279	C₄	—	146	1	no	—
1280	C₄	—	146	1	no	—
1281	C₄	C₂×#14556615	1	2	yes	—
1282	C₄	C₂×#41×D₇₃	1	1	yes	characteristic
1283	C₄	H(5,𝔽₂)×D₇₃	1	1	yes	characteristic
1284	C₂	—	2	4	no	—
1285	C₂	—	4	2	no	—
1286	C₂	—	8	2	no	—
1287	C₂	—	8	1	no	—
1288	C₂	—	292	2	no	—
1289	C₂	—	292	2	no	—
1290	C₂	—	584	2	no	—
1291	C₂	—	146	2	no	—
1292	C₂	#546×D₇₃	1	1	yes	characteristic
1293	C₂	C₂²×#14556615	1	1	yes	characteristic
1294	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	C₇₃×#3294	C₂
socle	C₂²×C₇₃	C₂³×D₄
hypercenter	#3294	D₇₃
hypocenter	C₇₃	#61155
LCS	G ▷ C₂×C₄×C₇₃ ▷ C₂×C₇₃ ▷ C₇₃
UCS	C₁ ◁ C₂² ◁ C₄×D₄ ◁ #3294

Complements

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

N	H ≅ G/N	type
1. #22623494	C₂	semidirect
2. D₄²×D₇₃	C₂	semidirect
3. #22622176	C₂	semidirect
4. #22622175	C₂	semidirect
5. #22622161	C₂	semidirect
6. #22622159	C₂	semidirect
7. #22622078	C₂	semidirect
8. #22622076	C₂	semidirect
9. #22621950	C₂	semidirect
10. #22621948	C₂	semidirect
11. #22621756	C₂	semidirect
12. #22621755	C₂	semidirect
13. #22621738	C₂	semidirect
14. #22620302	C₂	semidirect
15. #22619866	C₂	semidirect
16. #22619723	C₂	semidirect
17. #22619547	C₂	semidirect
18. #22619406	C₂	semidirect
19. #22619155	C₂	semidirect
20. C₄×#14556615	C₂	semidirect
21. D₄×#11924011	C₂	semidirect
22. C₂×#17988590	C₂	semidirect
23. C₇₃×#3294	C₂	semidirect
27. C₂×#14556615	C₂²	semidirect
28. C₂²×#11924011	C₂²	semidirect
29. #17989311	C₂²	semidirect
30. #17989302	C₂²	semidirect
31. #17989294	C₂²	semidirect
32. #17989289	C₂²	semidirect
33. #17989272	C₂²	semidirect
45. #17989142	C₂²	semidirect
49. #17989097	C₂²	semidirect
54. C₄×#11924027	C₂²	semidirect
57. C₂×#14556549	C₂²	semidirect
58. #17988950	C₂²	semidirect
59. #17988950	C₂²	semidirect
60. #17988935	C₂²	semidirect
61. #17988934	C₂²	semidirect
62. #17988933	C₂²	semidirect
63. #17988914	C₂²	semidirect
64. #17988914	C₂²	semidirect
65. #17988910	C₂²	semidirect
66. #17988910	C₂²	semidirect
67. #17988906	C₂²	semidirect
68. #17988903	C₂²	semidirect
69. #17988900	C₂²	semidirect
70. #17988890	C₂²	semidirect
71. #17988889	C₂²	semidirect
72. #17988878	C₂²	semidirect
73. #17988877	C₂²	semidirect
74. #17988864	C₂²	semidirect
75. #17988839	C₂²	semidirect
76. #17988837	C₂²	semidirect
77. #17988834	C₂²	semidirect
78. #17988832	C₂²	semidirect
79. #17988821	C₂²	semidirect
80. #17988816	C₂²	semidirect
81. #17988814	C₂²	semidirect
82. #17988788	C₂²	semidirect
83. #17988786	C₂²	semidirect
84. #17988784	C₂²	semidirect
85. #17988782	C₂²	semidirect
86. #17988780	C₂²	semidirect
87. #17988740	C₂²	semidirect
88. #17988739	C₂²	semidirect
89. #17988739	C₂²	semidirect
90. #17988738	C₂²	semidirect
91. #17988720	C₂²	semidirect
92. #17988719	C₂²	semidirect
93. #17988719	C₂²	semidirect
94. #17988699	C₂²	semidirect
95. #17988696	C₂²	semidirect
96. #17988686	C₂²	semidirect
97. #17988684	C₂²	semidirect
98. C₄×#11924017	C₂²	semidirect
99. C₄×#11924016	C₂²	semidirect
100. C₄×#11924013	C₂²	semidirect
101. #17988666	C₂²	semidirect
102. #17988664	C₂²	semidirect
103. #17988658	C₂²	semidirect
104. #17988655	C₂²	semidirect
105. D₄×#10596831	C₂²	semidirect
106. #17988628	C₂²	semidirect
107. #17988628	C₂²	semidirect
108. #17988609	C₂²	semidirect
111. #17988590	C₂²	semidirect
112. #17988590	C₂²	semidirect
113. #17988590	C₂²	semidirect
114. #17988590	C₂²	semidirect
115. #17988590	C₂²	semidirect
116. #17988590	C₂²	semidirect
117. #17988590	C₂²	semidirect
118. #17988585	C₂²	semidirect
119. C₂×#14556513	C₂²	semidirect
120. C₂×#14556512	C₂²	semidirect
121. C₂×#14556511	C₂²	semidirect
122. #17988549	C₂²	semidirect
123. C₄×#11924011	C₂²	semidirect
124. #547×C₇₃	C₂²	semidirect
126. #486×C₇₃	C₂²	semidirect
127. #480×C₇₃	C₂²	semidirect
128. #474×C₇₃	C₂²	semidirect
129. #466×C₇₃	C₂²	semidirect
130. #459×C₇₃	C₂²	semidirect
131. #447×C₇₃	C₂²	semidirect
132. C₄×D₈×C₇₃	C₂²	semidirect
133. C₈×D₄×C₇₃	C₂²	semidirect
134. C₂×#102×C₇₃	C₂²	semidirect
162. C₂×#11924017	C₂³	semidirect
164. C₂×#11924016	C₂³	semidirect
166. C₂×#11924013	C₂³	semidirect
171. C₂×#11924011	C₂³	semidirect
172. C₂×#11924011	C₂³	semidirect
173. C₂²×#10596831	C₂³	semidirect
174. #14556591	C₂³	semidirect
183. #14556582	C₂³	semidirect
191. #14556571	C₂³	semidirect
192. #14556570	C₂³	semidirect
207. #14556562	C₂³	semidirect
218. C₄×Dic₁₄₆	C₂³	semidirect
220. #14556556	C₂³	semidirect
228. D₄×Dic₇₃	C₂³	semidirect
244. #14556549	C₂³	semidirect
245. #14556549	C₂³	semidirect
247. C₂×C₄⋊Dic₇₃	C₂³	semidirect
257. #14556524	C₂³	semidirect
258. #14556524	C₂³	semidirect
259. #14556523	C₂³	semidirect
260. #14556523	C₂³	semidirect
261. #14556522	C₂³	semidirect
262. #14556522	C₂³	semidirect
263. C₄⋊#10596831	C₂³	semidirect
264. #14556520	C₂³	semidirect
265. #14556516	C₂³	semidirect
266. #14556514	C₂³	semidirect
269. #14556513	C₂³	semidirect
270. #14556513	C₂³	semidirect
271. #14556513	C₂³	semidirect
274. #14556512	C₂³	semidirect
275. #14556512	C₂³	semidirect
276. #14556512	C₂³	semidirect
277. #14556512	C₂³	semidirect
280. #14556511	C₂³	semidirect
281. #14556511	C₂³	semidirect
282. #14556511	C₂³	semidirect
283. C₂²⋊#10596831	C₂³	semidirect
284. #14556503	C₂³	semidirect
285. #14556503	C₂³	semidirect
286. #14556501	C₂³	semidirect
287. #14556501	C₂³	semidirect
288. C₄×#10596831	C₂³	semidirect
293. C₂×D₈×C₇₃	C₂³	semidirect
294. C₂²×C₈×C₇₃	C₂³	semidirect
295. C₄⋊Q₈×C₇₃	C₂³	semidirect
301. #121×C₇₃	C₂³	semidirect
305. C₄×D₄×C₇₃	C₂³	semidirect
306. C₂×C₄⋊C₄×C₇₃	C₂³	semidirect
307. #107×C₇₃	C₂³	semidirect
308. #107×C₇₃	C₂³	semidirect
309. C₄⋊C₈×C₇₃	C₂³	semidirect
312. #102×C₇₃	C₂³	semidirect
313. #102×C₇₃	C₂³	semidirect
314. #102×C₇₃	C₂³	semidirect
315. #102×C₇₃	C₂³	semidirect
316. C₂²⋊C₈×C₇₃	C₂³	semidirect
317. C₄×C₈×C₇₃	C₂³	semidirect
370. D₄×D₇₃	#41	semidirect
521. D₄×C₇₃	AGL(1,ℤ/8)	semidirect
661. #3294	D₇₃	semidirect
671. C₇₃	#61155	semidirect
684. #547	C₂×D₇₃	semidirect
713. #486	C₂×D₇₃	semidirect
721. #480	C₂×D₇₃	semidirect
727. #474	C₂×D₇₃	semidirect
733. #466	C₂×D₇₃	semidirect
741. #459	C₂×D₇₃	semidirect
749. #447	C₂×D₇₃	semidirect
757. C₄×D₈	C₂×D₇₃	semidirect
763. C₈×D₄	C₂×D₇₃	semidirect
780. C₂×#102	C₂×D₇₃	semidirect
819. C₂×D₈	C₂²×D₇₃	semidirect
827. C₂²×C₈	C₂²×D₇₃	semidirect
829. C₄⋊Q₈	C₂²×D₇₃	semidirect
868. #121	C₂²×D₇₃	semidirect
902. C₄×D₄	C₂²×D₇₃	semidirect
915. C₂×C₄⋊C₄	C₂²×D₇₃	semidirect
925. #107	C₂²×D₇₃	semidirect
926. #107	C₂²×D₇₃	semidirect
933. C₄⋊C₈	C₂²×D₇₃	semidirect
954. #102	C₂²×D₇₃	semidirect
955. #102	C₂²×D₇₃	semidirect
956. #102	C₂²×D₇₃	semidirect
957. #102	C₂²×D₇₃	semidirect
961. C₂²⋊C₈	C₂²×D₇₃	semidirect
965. C₄×C₈	C₂²×D₇₃	semidirect
1192. D₄	#14556615	semidirect

Maximal subgroups

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

subgroup	index
#22623494	2
D₄²×D₇₃	2
#22622176	2
#22622175	2
#22622161	2
#22622159	2
#22622078	2
#22622076	2
#22621950	2
#22621948	2
#22621756	2
#22621755	2
#22621738	2
#22620302	2
#22619866	2
#22619723	2
#22619547	2
#22619406	2
#22619155	2
C₄×#14556615	2
D₄×#11924011	2
C₂×#17988590	2
C₇₃×#3294	2
#61155	73