Subgroups — #33963385

Order 18688.

2230 conjugacy classes of subgroups.

The subgroup lattice has 1290 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#22623648	C₂	1	1	yes	maximal, characteristic, complemented
2	#22623564	C₂	1	1	yes	maximal, characteristic, complemented
3	#22622174	C₂	1	2	yes	maximal, complemented
4	#22622163	C₂	1	2	yes	maximal, complemented
5	#22622149	C₂	1	2	yes	maximal, complemented
6	#22622134	C₂	1	2	yes	maximal, complemented
7	#22622089	C₂	1	2	yes	maximal, complemented
8	#22622074	C₂	1	2	yes	maximal, complemented
9	#22621969	C₂	1	2	yes	maximal, complemented
10	#22621954	C₂	1	2	yes	maximal, complemented
11	#22620287	C₂	1	1	yes	maximal, characteristic, complemented
12	#22619890	C₂	1	1	yes	maximal, characteristic, complemented
13	#22619864	C₂	1	1	yes	maximal, characteristic, complemented
14	#22619763	C₂	1	1	yes	maximal, characteristic, complemented
15	#22619611	C₂	1	1	yes	maximal, characteristic, complemented
16	#22619540	C₂	1	1	yes	maximal, characteristic, complemented
17	#22619472	C₂	1	1	yes	maximal, characteristic, complemented
18	#22619238	C₂	1	1	yes	maximal, characteristic, complemented
19	#22619161	C₂	1	1	yes	maximal, characteristic, complemented
20	#22618765	C₂	1	1	yes	maximal, characteristic, complemented
21	#22618458	C₂	1	1	yes	maximal, characteristic, complemented
22	C₂×#17988593	C₂	1	1	yes	maximal, characteristic, complemented
23	C₇₃×#2930	C₂	1	1	yes	maximal, characteristic, complemented
24	C₂×#14556637	C₂²	1	1	yes	characteristic
25	C₂³×D₂₉₂	C₂²	1	1	yes	characteristic
26	C₂×#14556619	C₂²	1	1	yes	characteristic
27	C₂×#14556619	C₂²	1	1	yes	characteristic, complemented
28	C₂×#14556613	C₂²	1	1	yes	characteristic, complemented
29	#17989308	—	2	1	no	—
30	#17989307	C₂²	1	2	yes	complemented
31	#17989302	C₂²	1	2	yes	complemented
32	#17989301	—	2	1	no	—
33	#17989284	—	2	1	no	—
34	#17989283	C₂²	1	2	yes	complemented
35	#17989277	C₂²	1	2	yes	complemented
36	#17989271	—	2	1	no	—
37	#17989233	C₂²	1	2	yes	—
38	#17989233	C₂²	1	2	yes	—
39	#17989228	—	2	1	no	—
40	#17989228	—	2	1	no	—
41	D₄×D₂₉₂	C₂²	1	2	yes	—
42	D₄×D₂₉₂	C₂²	1	2	yes	—
43	#17989221	—	2	1	no	—
44	#17989221	—	2	1	no	—
45	#17989215	C₂²	1	1	yes	characteristic, complemented
46	#17989172	—	2	2	no	—
47	#17989165	C₂²	1	1	yes	characteristic, complemented
48	#17989156	C₂²	1	1	yes	characteristic
49	#17989151	C₂²	1	1	yes	characteristic
50	#17989148	—	2	2	no	—
51	#17989114	—	2	2	no	—
52	#17989098	C₂²	1	1	yes	characteristic
53	#17989098	C₂²	1	1	yes	characteristic, complemented
54	#120×D₇₃	—	2	2	no	—
55	#17989070	C₂²	1	1	yes	characteristic, complemented
56	#17989067	C₂²	1	1	yes	characteristic, complemented
57	#17989061	C₂²	1	1	yes	characteristic
58	C₂×#14556550	C₂²	1	1	yes	characteristic, complemented
59	#17988952	C₂²	1	2	yes	complemented
60	#17988947	C₂²	1	2	yes	complemented
61	#17988942	C₂²	1	2	yes	complemented
62	#17988934	C₂²	1	2	yes	complemented
63	#17988929	C₂²	1	2	yes	complemented
64	#17988929	C₂²	1	2	yes	complemented
65	#17988912	C₂²	1	2	yes	complemented
66	#17988912	C₂²	1	2	yes	complemented
67	#17988912	C₂²	1	2	yes	complemented
68	#17988912	C₂²	1	2	yes	complemented
69	#17988906	C₂²	1	2	yes	complemented
70	#17988901	C₂²	1	2	yes	complemented
71	#17988888	C₂²	1	2	yes	complemented
72	#17988888	C₂²	1	2	yes	complemented
73	#17988878	C₂²	1	2	yes	complemented
74	#17988868	C₂²	1	2	yes	complemented
75	#17988845	C₂²	1	1	yes	characteristic, complemented
76	#17988845	C₂²	1	1	yes	characteristic, complemented
77	#17988840	C₂²	1	1	yes	characteristic, complemented
78	#17988840	C₂²	1	1	yes	characteristic, complemented
79	#17988840	C₂²	1	2	yes	complemented
80	#17988833	C₂²	1	1	yes	characteristic, complemented
81	#17988833	C₂²	1	1	yes	characteristic, complemented
82	#17988833	C₂²	1	1	yes	characteristic, complemented
83	#17988833	C₂²	1	1	yes	characteristic, complemented
84	#17988833	C₂²	1	2	yes	complemented
85	#17988823	C₂²	1	2	yes	complemented
86	#17988816	C₂²	1	2	yes	complemented
87	#17988810	C₂²	1	2	yes	complemented
88	#17988803	C₂²	1	2	yes	complemented
89	#17988788	C₂²	1	2	yes	complemented
90	#17988783	C₂²	1	2	yes	complemented
91	#17988751	C₂²	1	2	yes	complemented
92	#17988740	C₂²	1	2	yes	complemented
93	#17988740	C₂²	1	2	yes	complemented
94	#17988740	C₂²	1	2	yes	complemented
95	#17988734	C₂²	1	2	yes	complemented
96	#17988723	C₂²	1	2	yes	complemented
97	#17988723	C₂²	1	2	yes	complemented
98	#17988723	C₂²	1	2	yes	complemented
99	#17988700	C₂²	1	2	yes	complemented
100	#17988689	C₂²	1	2	yes	complemented
101	C₄×#11924017	C₂²	1	2	yes	complemented
102	C₄×D₅₈₄	C₂²	1	2	yes	complemented
103	#17988629	C₂²	1	1	yes	characteristic, complemented
104	#17988629	C₂²	1	1	yes	characteristic, complemented
105	#17988625	C₂²	1	1	yes	characteristic, complemented
106	#17988593	C₂²	1	1	yes	characteristic
107	#17988593	C₂²	1	2	yes	complemented
108	#17988593	C₂²	1	2	yes	complemented
109	#17988593	C₂²	1	1	yes	characteristic, complemented
110	#17988593	C₂²	1	2	yes	complemented
111	#17988593	C₂²	1	2	yes	complemented
112	#17988593	C₂²	1	2	yes	complemented
113	#17988589	C₂²	1	1	yes	characteristic, complemented
114	#17988589	C₂²	1	1	yes	characteristic, complemented
115	#17988589	C₂²	1	2	yes	complemented
116	#17988584	C₂²	1	1	yes	characteristic, complemented
117	#17988584	C₂²	1	1	yes	characteristic, complemented
118	#17988584	C₂²	1	2	yes	complemented
119	C₂×#14556513	C₂²	1	1	yes	characteristic
120	C₂×#14556513	C₂²	1	1	yes	characteristic
121	C₂×#14556513	C₂²	1	1	yes	characteristic, complemented
122	C₂×#14556513	C₂²	1	1	yes	characteristic, complemented
123	C₂×#14556513	C₂²	1	2	yes	complemented
124	C₂×#131×C₇₃	C₂²	1	1	yes	characteristic, complemented
125	C₂²×M₁₆×C₇₃	C₂²	1	1	yes	characteristic, complemented
126	#525×C₇₃	C₂²	1	1	yes	characteristic
127	#436×C₇₃	C₂²	1	2	yes	complemented
128	#436×C₇₃	C₂²	1	2	yes	complemented
129	#435×C₇₃	C₂²	1	2	yes	complemented
130	#435×C₇₃	C₂²	1	2	yes	complemented
131	#424×C₇₃	C₂²	1	1	yes	characteristic, complemented
132	#408×C₇₃	C₂²	1	1	yes	characteristic, complemented
133	#407×C₇₃	C₂²	1	1	yes	characteristic, complemented
134	#405×C₇₃	C₂²	1	1	yes	characteristic, complemented
135	C₂⁴×D₇₃	—	2	1	no	—
136	#14556637	—	2	4	no	—
137	#14556637	—	4	2	no	—
138	C₂×#11924029	—	2	1	no	—
139	C₂×#11924028	C₂³	1	1	yes	characteristic
140	C₂×#11924028	C₂³	1	1	yes	characteristic
141	C₂×#11924028	C₂³	1	2	yes	—
142	C₂²×D₂₉₂	—	2	4	no	—
143	C₂²×D₂₉₂	—	2	1	no	—
144	C₂²×D₂₉₂	—	2	1	no	—
145	C₂²×D₂₉₂	—	2	1	no	—
146	C₂²×D₂₉₂	—	4	2	no	—
147	C₂²×D₂₉₂	C₂³	1	1	yes	characteristic
148	C₂²×D₂₉₂	C₂³	1	2	yes	—
149	C₂²×D₂₉₂	C₂³	1	2	yes	—
150	C₂²×D₂₉₂	C₂³	1	2	yes	—
151	C₂²×D₂₉₂	C₂³	1	1	yes	characteristic
152	C₂×D₄×D₇₃	—	2	2	no	—
153	C₂×D₄×D₇₃	—	2	1	no	—
154	C₂×D₄×D₇₃	—	2	2	no	—
155	C₂×D₄×D₇₃	—	2	2	no	—
156	#14556619	—	2	4	no	—
157	#14556619	—	4	2	no	—
158	#14556613	—	4	2	no	—
159	C₂×Dic₂₉₂	C₂³	1	1	yes	characteristic, complemented
160	C₂×#11924017	C₂³	1	2	yes	—
161	C₂×#11924017	C₂³	1	2	yes	—
162	C₂×#11924017	C₂³	1	1	yes	characteristic, complemented
163	C₂×#11924017	C₂³	1	1	yes	characteristic, complemented
164	C₂×D₅₈₄	C₂³	1	2	yes	—
165	C₂×D₅₈₄	C₂³	1	2	yes	—
166	C₂×D₅₈₄	C₂³	1	1	yes	characteristic, complemented
167	#14556591	C₂³	1	2	yes	complemented
168	#14556590	—	2	1	no	—
169	#14556588	C₂³	1	2	yes	—
170	#14556587	—	2	1	no	—
171	#14556586	—	2	2	no	—
172	#14556584	—	2	2	no	—
173	#14556584	—	2	2	no	—
174	#14556584	—	2	2	no	—
175	#14556583	C₂³	1	2	yes	complemented
176	#14556582	—	2	1	no	—
177	#14556581	—	2	2	no	—
178	#14556580	—	2	1	no	—
179	#14556579	C₂³	1	2	yes	—
180	#14556578	—	2	2	no	—
181	#14556577	—	2	2	no	—
182	#14556577	—	2	2	no	—
183	#14556576	—	2	2	no	—
184	#14556576	—	2	2	no	—
185	#14556574	—	2	1	no	—
186	#14556574	—	2	1	no	—
187	#14556573	—	2	2	no	—
188	#14556572	—	2	2	no	—
189	#14556570	C₂³	1	1	yes	characteristic
190	#14556570	C₂³	1	1	yes	characteristic
191	#14556570	C₂³	1	1	yes	characteristic
192	#14556570	C₂³	1	1	yes	characteristic
193	#14556570	C₂³	1	2	yes	complemented
194	#14556568	—	2	2	no	—
195	#14556567	—	2	1	no	—
196	#14556566	—	2	2	no	—
197	#14556566	—	2	2	no	—
198	#14556566	—	2	1	no	—
199	#14556566	—	2	1	no	—
200	#14556565	C₂³	1	2	yes	—
201	#14556565	C₂³	1	2	yes	—
202	#14556565	C₂³	1	1	yes	characteristic
203	#14556565	C₂³	1	1	yes	characteristic
204	#14556565	C₂³	1	1	yes	characteristic
205	#14556565	C₂³	1	1	yes	characteristic
206	#14556565	C₂³	1	2	yes	complemented
207	#14556564	—	2	2	no	—
208	#14556564	—	2	2	no	—
209	#14556563	—	2	2	no	—
210	#14556563	—	2	2	no	—
211	#14556562	—	2	1	no	—
212	#14556562	—	2	2	no	—
213	#14556561	—	2	2	no	—
214	#14556561	—	2	2	no	—
215	#14556561	—	2	2	no	—
216	#14556561	—	2	2	no	—
217	#14556561	—	2	2	no	—
218	#14556560	—	2	1	no	—
219	#14556560	—	2	1	no	—
220	#14556559	—	2	2	no	—
221	#14556559	—	2	2	no	—
222	#14556559	—	2	2	no	—
223	Q₈×Dic₇₃	—	2	1	no	—
224	C₄×Dic₁₄₆	C₂³	1	2	yes	complemented
225	#14556556	—	2	2	no	—
226	C₄×D₂₉₂	C₂³	1	2	yes	—
227	C₄×D₂₉₂	C₂³	1	2	yes	—
228	C₄×D₂₉₂	C₂³	1	2	yes	complemented
229	D₄×Dic₇₃	—	2	2	no	—
230	D₄×Dic₇₃	—	2	1	no	—
231	#14556553	—	2	1	no	—
232	#14556553	—	2	1	no	—
233	C₄×C₂²⋊D₇₃	—	2	1	no	—
234	C₄×C₂²⋊D₇₃	—	2	1	no	—
235	C₄×C₂²⋊D₇₃	—	2	1	no	—
236	C₄×C₂²⋊D₇₃	—	2	1	no	—
237	#14556551	—	2	2	no	—
238	#14556551	—	2	2	no	—
239	#14556550	—	2	1	no	—
240	#14556550	—	2	1	no	—
241	#14556550	C₂³	1	1	yes	characteristic
242	#14556550	C₂³	1	1	yes	characteristic
243	#14556550	C₂³	1	2	yes	—
244	#14556550	C₂³	1	2	yes	—
245	#14556550	C₂³	1	2	yes	complemented
246	#14556549	—	2	2	no	—
247	#14556549	—	2	1	no	—
248	#14556547	—	2	2	no	—
249	C₂×C₄⋊Dic₇₃	C₂³	1	1	yes	characteristic
250	C₂×C₄⋊Dic₇₃	C₂³	1	1	yes	characteristic
251	C₂×C₄⋊Dic₇₃	C₂³	1	2	yes	complemented
252	C₄⋊C₄×D₇₃	—	2	1	no	—
253	C₂×C₂²⋊Dic₇₃	—	2	1	no	—
254	C₂²⋊C₄×D₇₃	—	2	2	no	—
255	C₂²⋊C₄×D₇₃	—	2	2	no	—
256	C₂²⋊C₄×D₇₃	—	2	2	no	—
257	C₂×C₄×Dic₇₃	—	2	1	no	—
258	#14556525	C₂³	1	1	yes	characteristic, complemented
259	#14556525	C₂³	1	2	yes	complemented
260	#14556525	C₂³	1	1	yes	characteristic, complemented
261	#14556525	C₂³	1	2	yes	complemented
262	#14556523	C₂³	1	1	yes	characteristic, complemented
263	#14556523	C₂³	1	2	yes	complemented
264	#14556523	C₂³	1	1	yes	characteristic, complemented
265	#14556523	C₂³	1	2	yes	complemented
266	#14556516	C₂³	1	2	yes	complemented
267	#14556516	C₂³	1	2	yes	complemented
268	#14556516	C₂³	1	1	yes	characteristic, complemented
269	#14556516	C₂³	1	1	yes	characteristic, complemented
270	#14556516	C₂³	1	1	yes	characteristic, complemented
271	#14556516	C₂³	1	1	yes	characteristic, complemented
272	#14556513	C₂³	1	2	yes	—
273	#14556513	C₂³	1	2	yes	—
274	#14556513	C₂³	1	2	yes	—
275	#14556513	C₂³	1	2	yes	—
276	#14556513	C₂³	1	2	yes	—
277	#14556513	C₂³	1	2	yes	—
278	#14556513	C₂³	1	2	yes	—
279	#14556513	C₂³	1	2	yes	—
280	#14556513	C₂³	1	2	yes	—
281	#14556513	C₂³	1	2	yes	—
282	#14556513	C₂³	1	2	yes	—
283	#14556513	C₂³	1	2	yes	—
284	#14556513	C₂³	1	2	yes	complemented
285	#14556513	C₂³	1	2	yes	complemented
286	#14556513	C₂³	1	1	yes	characteristic, complemented
287	#14556513	C₂³	1	1	yes	characteristic, complemented
288	#14556513	C₂³	1	1	yes	characteristic, complemented
289	#14556513	C₂³	1	1	yes	characteristic, complemented
290	C₂×#41×C₇₃	C₂³	1	1	yes	characteristic
291	C₂³×C₄×C₇₃	C₂³	1	1	yes	characteristic
292	#131×C₇₃	—	4	2	no	—
293	C₂×M₁₆×C₇₃	—	4	2	no	—
294	C₂×M₁₆×C₇₃	C₂³	1	1	yes	characteristic
295	C₂×M₁₆×C₇₃	C₂³	1	1	yes	characteristic
296	C₂×M₁₆×C₇₃	C₂³	1	1	yes	characteristic
297	C₂×M₁₆×C₇₃	C₂³	1	1	yes	characteristic
298	C₂×M₁₆×C₇₃	C₂³	1	1	yes	characteristic
299	C₂×M₁₆×C₇₃	C₂³	1	1	yes	characteristic
300	C₂×M₁₆×C₇₃	C₂³	1	2	yes	complemented
301	C₂²×C₈×C₇₃	C₂³	1	1	yes	characteristic
302	C₂²×C₈×C₇₃	C₂³	1	1	yes	characteristic
303	C₂²×C₈×C₇₃	C₂³	1	2	yes	complemented
304	#123×C₇₃	D₄	1	2	yes	—
305	C₂²⋊Q₈×C₇₃	D₄	1	1	yes	characteristic
306	C₂²⋊Q₈×C₇₃	D₄	1	1	yes	characteristic
307	#121×C₇₃	D₄	1	1	yes	characteristic
308	#121×C₇₃	D₄	1	1	yes	characteristic
309	#120×C₇₃	D₄	1	2	yes	—
310	C₄×D₄×C₇₃	C₂³	1	2	yes	—
311	C₄×D₄×C₇₃	C₂³	1	2	yes	—
312	#117×C₇₃	C₂³	1	1	yes	characteristic
313	C₄⋊C₈×C₇₃	C₂³	1	2	yes	complemented
314	C₄⋊C₈×C₇₃	C₂³	1	2	yes	complemented
315	C₂²⋊C₈×C₇₃	C₂³	1	2	yes	—
316	C₂²⋊C₈×C₇₃	C₂³	1	2	yes	—
317	C₂²⋊C₈×C₇₃	C₂³	1	2	yes	complemented
318	C₂²⋊C₈×C₇₃	C₂³	1	2	yes	complemented
319	#97×C₇₃	C₂³	1	2	yes	complemented
320	C₄×C₈×C₇₃	C₂³	1	2	yes	complemented
321	C₂³×D₇₃	—	2	1	no	—
322	C₂³×D₇₃	—	2	2	no	—
323	C₂³×D₇₃	—	2	2	no	—
324	C₂³×D₇₃	—	2	1	no	—
325	C₂³×D₇₃	—	2	2	no	—
326	C₂³×D₇₃	—	4	4	no	—
327	C₂³×D₇₃	—	8	2	no	—
328	C₂³×D₇₃	—	8	2	no	—
329	#11924029	—	4	4	no	—
330	#11924028	—	2	2	no	—
331	#11924028	—	2	2	no	—
332	#11924028	—	2	2	no	—
333	#11924028	—	2	2	no	—
334	#11924028	—	2	4	no	—
335	#11924028	—	4	2	no	—
336	C₂×Dic₁₄₆	—	2	2	no	—
337	C₂×Dic₁₄₆	C₂⁴	1	1	yes	characteristic
338	C₂×Dic₁₄₆	C₂⁴	1	1	yes	characteristic
339	C₂×D₂₉₂	—	2	1	no	—
340	C₂×D₂₉₂	—	2	2	no	—
341	C₂×D₂₉₂	—	2	2	no	—
342	C₂×D₂₉₂	—	2	2	no	—
343	C₂×D₂₉₂	—	2	4	no	—
344	C₂×D₂₉₂	—	2	4	no	—
345	C₂×D₂₉₂	—	2	4	no	—
346	C₂×D₂₉₂	—	2	2	no	—
347	C₂×D₂₉₂	—	2	2	no	—
348	C₂×D₂₉₂	—	2	2	no	—
349	C₂×D₂₉₂	—	2	1	no	—
350	C₂×D₂₉₂	—	2	2	no	—
351	C₂×D₂₉₂	—	2	2	no	—
352	C₂×D₂₉₂	—	4	2	no	—
353	C₂×D₂₉₂	—	4	2	no	—
354	C₂×D₂₉₂	—	4	2	no	—
355	C₂×D₂₉₂	—	4	4	no	—
356	C₂×D₂₉₂	—	4	4	no	—
357	C₂×D₂₉₂	—	4	4	no	—
358	C₂×D₂₉₂	#41	1	4	yes	—
359	C₂×D₂₉₂	C₂⁴	1	2	yes	—
360	C₂×D₂₉₂	C₂⁴	1	1	yes	characteristic
361	C₂×D₂₉₂	C₂⁴	1	1	yes	characteristic
362	C₂×D₂₉₂	C₂⁴	1	2	yes	—
363	C₂×C₂²⋊D₇₃	—	2	1	no	—
364	C₂×C₂²⋊D₇₃	—	2	1	no	—
365	C₂×C₂²⋊D₇₃	—	2	1	no	—
366	C₂×C₂²⋊D₇₃	—	2	2	no	—
367	C₂×C₂²⋊D₇₃	—	2	1	no	—
368	C₂×C₂²⋊D₇₃	—	2	2	no	—
369	C₂×C₂²⋊D₇₃	—	2	1	no	—
370	C₂×C₂²⋊D₇₃	—	2	1	no	—
371	C₂×C₂²⋊D₇₃	—	2	2	no	—
372	C₂×C₂²⋊D₇₃	—	2	2	no	—
373	D₄×D₇₃	—	4	4	no	—
374	D₄×D₇₃	—	4	8	no	—
375	D₄×D₇₃	—	8	4	no	—
376	D₄×D₇₃	—	8	4	no	—
377	C₂²×Dic₇₃	—	2	1	no	—
378	C₂²×Dic₇₃	—	2	1	no	—
379	C₂²×Dic₇₃	—	2	2	no	—
380	C₂×C₄×D₇₃	—	2	2	no	—
381	C₂×C₄×D₇₃	—	2	1	no	—
382	C₂×C₄×D₇₃	—	2	1	no	—
383	C₂×C₄×D₇₃	—	2	2	no	—
384	C₂×C₄×D₇₃	—	2	2	no	—
385	C₂×C₄×D₇₃	—	2	2	no	—
386	Dic₂₉₂	—	4	1	no	—
387	#11924017	—	2	4	no	—
388	#11924017	—	4	2	no	—
389	#11924017	—	4	1	no	—
390	#11924017	—	4	1	no	—
391	D₅₈₄	—	2	4	no	—
392	D₅₈₄	—	4	2	no	—
393	D₅₈₄	—	4	1	no	—
394	C₄⋊Dic₇₃	—	2	1	no	—
395	C₄⋊Dic₇₃	—	2	1	no	—
396	C₄⋊Dic₇₃	—	2	2	no	—
397	C₄⋊Dic₇₃	—	2	2	no	—
398	C₄⋊Dic₇₃	C₂⁴	1	2	yes	—
399	C₄⋊Dic₇₃	C₂⁴	1	2	yes	—
400	C₄⋊Dic₇₃	C₂⁴	1	1	yes	characteristic
401	C₄⋊Dic₇₃	C₂⁴	1	1	yes	characteristic
402	C₄⋊Dic₇₃	C₂⁴	1	1	yes	characteristic
403	C₄⋊Dic₇₃	C₂⁴	1	1	yes	characteristic
404	#11924007	—	2	2	no	—
405	#11924007	—	2	1	no	—
406	#11924007	—	2	2	no	—
407	#11924007	—	2	2	no	—
408	#11924007	—	2	1	no	—
409	#11924007	—	2	1	no	—
410	#11924007	—	2	1	no	—
411	#11924007	—	2	2	no	—
412	C₂²⋊Dic₇₃	—	2	1	no	—
413	C₂²⋊Dic₇₃	—	2	1	no	—
414	C₂²⋊Dic₇₃	—	2	1	no	—
415	C₂²⋊Dic₇₃	—	2	2	no	—
416	C₂²⋊Dic₇₃	—	2	2	no	—
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	1	no	—
422	#11924005	—	2	2	no	—
423	#11924005	—	2	2	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	2	no	—
431	#11924005	—	2	1	no	—
432	#11924005	—	2	1	no	—
433	#11924005	—	2	1	no	—
434	C₄×Dic₇₃	—	2	2	no	—
435	C₄×Dic₇₃	—	2	2	no	—
436	C₄×Dic₇₃	—	2	2	no	—
437	C₄×Dic₇₃	—	2	2	no	—
438	C₄×Dic₇₃	—	2	1	no	—
439	C₄×Dic₇₃	—	2	1	no	—
440	C₂⁴×C₇₃	C₂×D₄	1	1	yes	characteristic
441	#41×C₇₃	—	2	2	no	—
442	#41×C₇₃	—	2	2	no	—
443	C₂×Q₈×C₇₃	C₂×D₄	1	1	yes	characteristic
444	C₂×D₄×C₇₃	C₂×D₄	1	2	yes	—
445	C₂×D₄×C₇₃	C₂×D₄	1	1	yes	characteristic
446	C₂×D₄×C₇₃	C₂×D₄	1	2	yes	—
447	C₂×D₄×C₇₃	C₂×D₄	1	2	yes	—
448	C₂²×C₄×C₇₃	—	2	2	no	—
449	C₂²×C₄×C₇₃	—	2	2	no	—
450	C₂²×C₄×C₇₃	C₂×D₄	1	1	yes	characteristic
451	C₂²×C₄×C₇₃	C₂×D₄	1	1	yes	characteristic
452	C₂²×C₄×C₇₃	C₂×D₄	1	1	yes	characteristic
453	C₂²×C₄×C₇₃	C₂⁴	1	1	yes	characteristic
454	C₂²×C₄×C₇₃	C₂⁴	1	1	yes	characteristic
455	C₂²×C₄×C₇₃	C₂⁴	1	2	yes	—
456	C₂²×C₄×C₇₃	C₂⁴	1	1	yes	characteristic
457	M₁₆×C₇₃	—	2	2	no	—
458	M₁₆×C₇₃	—	2	2	no	—
459	M₁₆×C₇₃	—	4	1	no	—
460	M₁₆×C₇₃	—	4	1	no	—
461	M₁₆×C₇₃	—	4	1	no	—
462	M₁₆×C₇₃	—	4	1	no	—
463	M₁₆×C₇₃	—	4	2	no	—
464	C₂×C₈×C₇₃	—	2	2	no	—
465	C₂×C₈×C₇₃	—	2	2	no	—
466	C₂×C₈×C₇₃	—	4	2	no	—
467	C₂×C₈×C₇₃	C₂⁴	1	1	yes	characteristic
468	C₂×C₈×C₇₃	C₂⁴	1	2	yes	—
469	C₂×C₈×C₇₃	C₂⁴	1	1	yes	characteristic
470	C₂×C₈×C₇₃	C₂⁴	1	2	yes	—
471	C₂×C₈×C₇₃	C₂⁴	1	1	yes	characteristic
472	C₂×C₈×C₇₃	C₂⁴	1	1	yes	characteristic
473	C₄⋊C₄×C₇₃	C₂×D₄	1	1	yes	characteristic
474	C₄⋊C₄×C₇₃	C₂×D₄	1	1	yes	characteristic
475	C₄⋊C₄×C₇₃	C₂×D₄	1	2	yes	—
476	C₄⋊C₄×C₇₃	C₂×D₄	1	2	yes	—
477	C₂²⋊C₄×C₇₃	C₂×D₄	1	2	yes	—
478	C₂²⋊C₄×C₇₃	C₂×D₄	1	2	yes	—
479	C₂²⋊C₄×C₇₃	C₂×D₄	1	2	yes	—
480	C₂²⋊C₄×C₇₃	C₂×D₄	1	2	yes	—
481	C₂²⋊C₄×C₇₃	C₂×D₄	1	2	yes	—
482	C₄²×C₇₃	C₂⁴	1	2	yes	—
483	C₂³×C₇₃	—	2	2	no	—
484	C₂³×C₇₃	—	4	1	no	—
485	C₂³×C₇₃	—	4	1	no	—
486	C₂³×C₇₃	C₂²×D₄	1	1	yes	characteristic
487	C₂³×C₇₃	C₂²×D₄	1	1	yes	characteristic
488	C₂³×C₇₃	C₂²×D₄	1	2	yes	—
489	C₂³×C₇₃	C₂²×D₄	1	1	yes	characteristic
490	C₂²×D₇₃	—	2	2	no	—
491	C₂²×D₇₃	—	2	4	no	—
492	C₂²×D₇₃	—	2	1	no	—
493	C₂²×D₇₃	—	2	2	no	—
494	C₂²×D₇₃	—	2	1	no	—
495	C₂²×D₇₃	—	4	4	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	2	no	—
501	C₂²×D₇₃	—	8	1	no	—
502	C₂²×D₇₃	—	8	1	no	—
503	C₂²×D₇₃	—	8	2	no	—
504	C₂²×D₇₃	—	8	2	no	—
505	C₂²×D₇₃	—	8	1	no	—
506	C₂²×D₇₃	—	8	1	no	—
507	C₂²×D₇₃	—	8	2	no	—
508	C₂²×D₇₃	—	8	2	no	—
509	C₂²×D₇₃	—	8	16	no	—
510	Q₈×C₇₃	—	2	2	no	—
511	D₄×C₇₃	—	2	4	no	—
512	D₄×C₇₃	—	2	2	no	—
513	D₄×C₇₃	—	4	2	no	—
514	D₄×C₇₃	—	4	2	no	—
515	C₂×C₄×C₇₃	—	2	2	no	—
516	C₂×C₄×C₇₃	—	2	2	no	—
517	C₂×C₄×C₇₃	—	2	2	no	—
518	C₂×C₄×C₇₃	—	2	1	no	—
519	C₂×C₄×C₇₃	—	2	1	no	—
520	C₂×C₄×C₇₃	—	2	2	no	—
521	C₂×C₄×C₇₃	—	2	2	no	—
522	C₂×C₄×C₇₃	—	2	1	no	—
523	C₂×C₄×C₇₃	—	2	1	no	—
524	C₂×C₄×C₇₃	C₂²×D₄	1	2	yes	—
525	C₂×C₄×C₇₃	C₂²×D₄	1	2	yes	—
526	C₂×C₄×C₇₃	C₂²×D₄	1	1	yes	characteristic
527	C₂×C₄×C₇₃	C₂²×D₄	1	1	yes	characteristic
528	C₂×C₄×C₇₃	C₂²×D₄	1	2	yes	—
529	C₂×C₄×C₇₃	C₂²×D₄	1	1	yes	characteristic
530	C₂×C₄×C₇₃	C₂×#41	1	2	yes	—
531	C₂×C₄×C₇₃	H(5,𝔽₂)	1	2	yes	—
532	C₂×C₄×C₇₃	C₂⁵	1	1	yes	characteristic
533	C₂²⋊D₇₃	—	4	4	no	—
534	C₂²⋊D₇₃	—	4	2	no	—
535	C₂²⋊D₇₃	—	4	2	no	—
536	C₂²⋊D₇₃	—	4	2	no	—
537	C₂²⋊D₇₃	—	4	2	no	—
538	C₂²⋊D₇₃	—	8	2	no	—
539	C₂²⋊D₇₃	—	8	2	no	—
540	C₂²⋊D₇₃	—	8	1	no	—
541	C₂²⋊D₇₃	—	8	2	no	—
542	C₂²⋊D₇₃	—	8	1	no	—
543	C₂×Dic₇₃	—	2	2	no	—
544	C₂×Dic₇₃	—	2	1	no	—
545	C₂×Dic₇₃	—	2	2	no	—
546	C₂×Dic₇₃	—	2	1	no	—
547	C₂×Dic₇₃	—	2	1	no	—
548	C₂×Dic₇₃	—	2	1	no	—
549	C₂×Dic₇₃	—	2	1	no	—
550	C₂×Dic₇₃	—	2	1	no	—
551	C₂×Dic₇₃	—	8	1	no	—
552	C₂×Dic₇₃	—	8	1	no	—
553	C₂×Dic₇₃	—	8	2	no	—
554	D₂₉₂	—	2	4	no	—
555	D₂₉₂	—	2	1	no	—
556	D₂₉₂	—	2	2	no	—
557	D₂₉₂	—	2	1	no	—
558	D₂₉₂	—	2	2	no	—
559	D₂₉₂	—	2	1	no	—
560	D₂₉₂	—	2	2	no	—
561	D₂₉₂	—	2	1	no	—
562	D₂₉₂	—	4	4	no	—
563	D₂₉₂	—	4	4	no	—
564	D₂₉₂	—	4	4	no	—
565	D₂₉₂	—	4	2	no	—
566	D₂₉₂	—	8	2	no	—
567	D₂₉₂	—	8	2	no	—
568	D₂₉₂	C₂×#41	1	4	yes	—
569	C₄×D₇₃	—	4	4	no	—
570	C₄×D₇₃	—	4	2	no	—
571	C₄×D₇₃	—	4	2	no	—
572	C₄×D₇₃	—	8	2	no	—
573	C₄×D₇₃	—	8	2	no	—
574	C₄×D₇₃	—	8	2	no	—
575	Dic₁₄₆	—	2	1	no	—
576	Dic₁₄₆	—	2	1	no	—
577	Dic₁₄₆	—	2	1	no	—
578	Dic₁₄₆	—	2	1	no	—
579	Dic₁₄₆	—	8	2	no	—
580	C₈×C₇₃	—	2	2	no	—
581	C₈×C₇₃	—	2	1	no	—
582	C₈×C₇₃	—	2	1	no	—
583	C₈×C₇₃	—	2	1	no	—
584	C₈×C₇₃	—	2	1	no	—
585	C₈×C₇₃	—	2	2	no	—
586	C₂²×C₇₃	—	2	1	no	—
587	C₂²×C₇₃	—	2	1	no	—
588	C₂²×C₇₃	—	2	2	no	—
589	C₂²×C₇₃	—	2	1	no	—
590	C₂²×C₇₃	—	2	1	no	—
591	C₂²×C₇₃	—	2	2	no	—
592	C₂²×C₇₃	—	2	1	no	—
593	C₂²×C₇₃	—	2	1	no	—
594	C₂²×C₇₃	—	2	2	no	—
595	C₂²×C₇₃	—	2	1	no	—
596	C₂²×C₇₃	—	2	1	no	—
597	C₂²×C₇₃	—	4	4	no	—
598	C₂²×C₇₃	#546	1	2	yes	—
599	C₂²×C₇₃	C₂³×D₄	1	1	yes	characteristic
600	C₂×D₇₃	—	2	4	no	—
601	C₂×D₇₃	—	4	2	no	—
602	C₂×D₇₃	—	4	2	no	—
603	C₂×D₇₃	—	4	1	no	—
604	C₂×D₇₃	—	4	1	no	—
605	C₂×D₇₃	—	4	1	no	—
606	C₂×D₇₃	—	4	2	no	—
607	C₂×D₇₃	—	4	2	no	—
608	C₂×D₇₃	—	4	1	no	—
609	C₂×D₇₃	—	4	1	no	—
610	C₂×D₇₃	—	4	1	no	—
611	C₂×D₇₃	—	4	2	no	—
612	C₂×D₇₃	—	8	4	no	—
613	C₂×D₇₃	—	8	8	no	—
614	C₂×D₇₃	—	8	8	no	—
615	C₂×D₇₃	—	8	4	no	—
616	C₂×D₇₃	—	16	4	no	—
617	C₄×C₇₃	—	2	2	no	—
618	C₄×C₇₃	—	2	2	no	—
619	C₄×C₇₃	—	2	2	no	—
620	C₄×C₇₃	—	2	1	no	—
621	C₄×C₇₃	—	2	1	no	—
622	C₄×C₇₃	#546	1	2	yes	—
623	C₄×C₇₃	C₂²×#41	1	1	yes	characteristic
624	C₄×C₇₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
625	Dic₇₃	—	4	1	no	—
626	Dic₇₃	—	4	2	no	—
627	Dic₇₃	—	4	1	no	—
628	Dic₇₃	—	4	1	no	—
629	Dic₇₃	—	4	2	no	—
630	Dic₇₃	—	4	1	no	—
631	Dic₇₃	—	4	1	no	—
632	Dic₇₃	—	4	1	no	—
633	#61175	—	73	1	no	maximal, Sylow
634	C₂×C₇₃	—	2	2	no	—
635	C₂×C₇₃	—	4	1	no	—
636	C₂×C₇₃	—	4	1	no	—
637	C₂×C₇₃	—	4	2	no	—
638	C₂×C₇₃	C₂×#546	1	1	yes	characteristic
639	C₂×C₇₃	#3585	1	1	yes	characteristic
640	C₂×C₇₃	#3585	1	1	yes	characteristic
641	D₇₃	—	4	4	no	—
642	D₇₃	—	8	1	no	—
643	D₇₃	—	8	2	no	—
644	D₇₃	—	8	1	no	—
645	#3493	—	73	1	no	—
646	#3484	—	73	1	no	—
647	#3325	—	73	2	no	—
648	#3324	—	73	2	no	—
649	#3323	—	73	2	no	—
650	#3322	—	73	2	no	—
651	#3319	—	73	2	no	—
652	#3318	—	73	2	no	—
653	#3311	—	73	2	no	—
654	#3310	—	73	2	no	—
655	#3136	—	73	1	no	—
656	#3096	—	73	1	no	—
657	#3093	—	73	1	no	—
658	#3081	—	73	1	no	—
659	#3062	—	73	1	no	—
660	#3054	—	73	1	no	—
661	#3045	—	73	1	no	—
662	#3012	—	73	1	no	—
663	#3003	—	73	1	no	—
664	#2946	—	73	1	no	—
665	#2930	D₇₃	1	1	yes	characteristic, complemented
666	#2897	—	73	1	no	—
667	C₂×#418	—	73	1	no	—
668	C₇₃	#61175	1	1	yes	characteristic, complemented, Sylow
669	C₂×H(5,𝔽₂)	—	73	1	no	—
670	C₂³×D₄	—	73	1	no	—
671	C₂×AGL(1,ℤ/8)	—	73	1	no	—
672	C₂×AGL(1,ℤ/8)	—	73	1	no	—
673	C₂×#135	—	73	1	no	—
674	C₂×#131	C₂×D₇₃	1	1	yes	characteristic, complemented
675	C₂²×M₁₆	C₂×D₇₃	1	1	yes	characteristic, complemented
676	#556	—	73	2	no	—
677	#556	—	146	1	no	—
678	#555	—	73	2	no	—
679	#555	—	146	1	no	—
680	#553	—	73	2	no	—
681	#553	—	146	1	no	—
682	#552	—	73	2	no	—
683	#552	—	146	1	no	—
684	#546	—	73	2	no	—
685	#546	—	73	2	no	—
686	#546	—	146	1	no	—
687	#546	—	146	1	no	—
688	D₄²	—	73	2	no	—
689	D₄²	—	73	2	no	—
690	D₄²	—	146	1	no	—
691	D₄²	—	146	1	no	—
692	#544	—	73	1	no	—
693	#538	—	146	2	no	—
694	#537	—	73	1	no	—
695	#535	—	73	1	no	—
696	#535	—	73	1	no	—
697	#534	—	146	2	no	—
698	#529	—	146	2	no	—
699	#525	—	73	1	no	—
700	#525	—	73	1	no	—
701	#525	C₂×D₇₃	1	1	yes	characteristic
702	C₂×#120	—	146	2	no	—
703	#520	—	73	1	no	—
704	#520	—	73	1	no	—
705	#518	—	73	1	no	—
706	C₂×#117	—	73	1	no	—
707	#490	—	73	2	no	—
708	#489	—	73	2	no	—
709	#488	—	73	2	no	—
710	#486	—	73	2	no	—
711	#485	—	73	2	no	—
712	#485	—	73	2	no	—
713	#482	—	73	2	no	—
714	#482	—	73	2	no	—
715	#482	—	73	2	no	—
716	#482	—	73	2	no	—
717	#481	—	73	2	no	—
718	#480	—	73	2	no	—
719	#478	—	73	2	no	—
720	#478	—	73	2	no	—
721	#476	—	73	2	no	—
722	#474	—	73	2	no	—
723	#470	—	73	1	no	—
724	#470	—	73	1	no	—
725	#469	—	73	1	no	—
726	#469	—	73	1	no	—
727	#469	—	73	2	no	—
728	#468	—	73	1	no	—
729	#468	—	73	1	no	—
730	#468	—	73	1	no	—
731	#468	—	73	1	no	—
732	#468	—	73	2	no	—
733	#466	—	73	2	no	—
734	#465	—	73	2	no	—
735	#464	—	73	2	no	—
736	#463	—	73	2	no	—
737	#460	—	73	2	no	—
738	#459	—	73	2	no	—
739	#452	—	73	2	no	—
740	#450	—	73	2	no	—
741	#450	—	73	2	no	—
742	#450	—	73	2	no	—
743	#449	—	73	2	no	—
744	#447	—	73	2	no	—
745	#447	—	73	2	no	—
746	#447	—	73	2	no	—
747	#442	—	73	2	no	—
748	#440	—	73	2	no	—
749	C₄×SD₁₆	—	73	2	no	—
750	C₄×D₈	—	73	2	no	—
751	#436	C₂×D₇₃	1	2	yes	complemented
752	#436	C₂×D₇₃	1	2	yes	complemented
753	#435	C₂×D₇₃	1	2	yes	complemented
754	#435	C₂×D₇₃	1	2	yes	complemented
755	#428	—	73	1	no	—
756	#428	—	73	1	no	—
757	#427	—	73	1	no	—
758	#424	C₂×D₇₃	1	1	yes	characteristic, complemented
759	#418	—	73	1	no	—
760	#418	—	73	1	no	—
761	#418	—	73	2	no	—
762	#418	—	73	2	no	—
763	#418	—	73	2	no	—
764	#418	—	73	2	no	—
765	#418	—	73	2	no	—
766	#417	—	73	1	no	—
767	#417	—	73	1	no	—
768	#417	—	73	2	no	—
769	#416	—	73	1	no	—
770	#416	—	73	1	no	—
771	#416	—	73	2	no	—
772	C₂×#102	—	73	1	no	—
773	C₂×#102	—	73	1	no	—
774	C₂×#102	—	73	1	no	—
775	C₂×#102	—	73	1	no	—
776	C₂×#102	—	73	2	no	—
777	#408	C₂×D₇₃	1	1	yes	characteristic, complemented
778	#407	C₂×D₇₃	1	1	yes	characteristic, complemented
779	#405	C₂×D₇₃	1	1	yes	characteristic, complemented
780	C₂⁵	—	146	1	no	—
781	H(5,𝔽₂)	—	292	2	no	—
782	H(5,𝔽₂)	—	146	4	no	—
783	C₂×#41	—	73	2	no	—
784	C₂×#41	—	73	1	no	—
785	C₂×#41	—	73	1	no	—
786	C₂×#41	—	146	1	no	—
787	C₂×#41	C₂²×D₇₃	1	1	yes	characteristic
788	C₂²×D₄	—	292	2	no	—
789	C₂²×D₄	—	73	2	no	—
790	C₂²×D₄	—	73	2	no	—
791	C₂²×D₄	—	73	2	no	—
792	C₂²×D₄	—	73	1	no	—
793	C₂²×D₄	—	73	1	no	—
794	C₂²×D₄	—	146	4	no	—
795	C₂²×D₄	—	146	2	no	—
796	C₂²×D₄	—	146	1	no	—
797	C₂²×D₄	—	146	2	no	—
798	C₂²×D₄	—	146	2	no	—
799	C₂²×D₄	—	146	1	no	—
800	C₂²×D₄	—	146	1	no	—
801	C₂²×D₄	—	146	1	no	—
802	C₂³×C₄	C₂²×D₇₃	1	1	yes	characteristic
803	AGL(1,ℤ/8)	—	292	2	no	—
804	AGL(1,ℤ/8)	—	146	4	no	—
805	#135	—	292	2	no	—
806	C₂×Q₁₆	—	73	1	no	—
807	C₂×SD₁₆	—	73	1	no	—
808	C₂×SD₁₆	—	73	1	no	—
809	C₂×SD₁₆	—	73	2	no	—
810	C₂×SD₁₆	—	73	2	no	—
811	C₂×D₈	—	73	1	no	—
812	C₂×D₈	—	73	2	no	—
813	C₂×D₈	—	73	2	no	—
814	#131	—	4	2	no	—
815	C₂×M₁₆	—	4	2	no	—
816	C₂×M₁₆	C₂²×D₇₃	1	1	yes	characteristic
817	C₂×M₁₆	C₂²×D₇₃	1	1	yes	characteristic
818	C₂×M₁₆	C₂²×D₇₃	1	1	yes	characteristic
819	C₂×M₁₆	C₂²×D₇₃	1	1	yes	characteristic
820	C₂×M₁₆	C₂²×D₇₃	1	1	yes	characteristic
821	C₂×M₁₆	C₂²×D₇₃	1	1	yes	characteristic
822	C₂×M₁₆	C₂²×D₇₃	1	2	yes	complemented
823	C₂²×C₈	C₂²×D₇₃	1	1	yes	characteristic
824	C₂²×C₈	C₂²×D₇₃	1	1	yes	characteristic
825	C₂²×C₈	C₂²×D₇₃	1	2	yes	complemented
826	C₄⋊Q₈	—	73	2	no	—
827	C₄⋊Q₈	—	146	1	no	—
828	#127	—	73	2	no	—
829	#127	—	146	1	no	—
830	#126	—	146	2	no	—
831	#126	—	146	2	no	—
832	#126	—	146	2	no	—
833	#126	—	146	2	no	—
834	#125	—	73	2	no	—
835	#125	—	146	2	no	—
836	#125	—	146	1	no	—
837	#124	—	73	2	no	—
838	#124	—	146	1	no	—
839	#124	—	146	2	no	—
840	#124	—	146	2	no	—
841	#124	—	146	2	no	—
842	#123	—	146	2	no	—
843	#123	—	146	1	no	—
844	#123	—	146	1	no	—
845	#123	—	146	2	no	—
846	#123	—	146	2	no	—
847	#123	—	146	2	no	—
848	#123	D₂₉₂	1	2	yes	—
849	C₂²⋊Q₈	—	73	1	no	—
850	C₂²⋊Q₈	—	73	1	no	—
851	C₂²⋊Q₈	—	73	1	no	—
852	C₂²⋊Q₈	—	73	1	no	—
853	C₂²⋊Q₈	—	73	2	no	—
854	C₂²⋊Q₈	—	146	1	no	—
855	C₂²⋊Q₈	—	146	2	no	—
856	C₂²⋊Q₈	D₂₉₂	1	1	yes	characteristic
857	C₂²⋊Q₈	D₂₉₂	1	1	yes	characteristic
858	#121	—	73	1	no	—
859	#121	—	73	1	no	—
860	#121	—	73	1	no	—
861	#121	—	73	1	no	—
862	#121	—	73	2	no	—
863	#121	—	73	2	no	—
864	#121	—	73	2	no	—
865	#121	—	146	2	no	—
866	#121	—	146	1	no	—
867	#121	—	146	2	no	—
868	#121	—	146	2	no	—
869	#121	—	146	2	no	—
870	#121	—	146	2	no	—
871	#121	—	146	1	no	—
872	#121	—	146	1	no	—
873	#121	—	146	2	no	—
874	#121	—	146	2	no	—
875	#121	D₂₉₂	1	1	yes	characteristic
876	#121	D₂₉₂	1	1	yes	characteristic
877	#120	—	146	1	no	—
878	#120	—	146	1	no	—
879	#120	—	146	2	no	—
880	#120	—	146	2	no	—
881	#120	—	146	2	no	—
882	#120	—	146	2	no	—
883	#120	—	146	2	no	—
884	#120	—	146	2	no	—
885	#120	—	146	2	no	—
886	#120	—	146	2	no	—
887	#120	D₂₉₂	1	2	yes	—
888	C₄×Q₈	—	73	2	no	—
889	C₄×Q₈	—	146	1	no	—
890	C₄×Q₈	—	146	2	no	—
891	C₄×D₄	—	73	2	no	—
892	C₄×D₄	—	73	2	no	—
893	C₄×D₄	—	73	2	no	—
894	C₄×D₄	—	146	2	no	—
895	C₄×D₄	—	146	1	no	—
896	C₄×D₄	—	146	1	no	—
897	C₄×D₄	—	146	1	no	—
898	C₄×D₄	—	146	1	no	—
899	C₄×D₄	—	146	1	no	—
900	C₄×D₄	—	146	1	no	—
901	C₄×D₄	—	146	1	no	—
902	C₄×D₄	—	146	2	no	—
903	C₄×D₄	—	146	2	no	—
904	C₄×D₄	C₂²×D₇₃	1	2	yes	—
905	C₄×D₄	C₂²×D₇₃	1	2	yes	—
906	#117	—	73	2	no	—
907	#117	—	73	2	no	—
908	#117	—	73	1	no	—
909	#117	—	73	1	no	—
910	#117	—	73	2	no	—
911	#117	—	146	1	no	—
912	#117	—	146	1	no	—
913	#117	—	146	1	no	—
914	#117	—	146	2	no	—
915	#117	—	146	2	no	—
916	#117	C₂²×D₇₃	1	1	yes	characteristic
917	C₂×C₄⋊C₄	—	73	1	no	—
918	C₂×C₄⋊C₄	—	73	1	no	—
919	C₂×C₄⋊C₄	—	73	2	no	—
920	C₂×C₄⋊C₄	—	146	1	no	—
921	C₂×C₂²⋊C₄	—	146	1	no	—
922	C₂×C₂²⋊C₄	—	146	2	no	—
923	C₂×C₂²⋊C₄	—	146	2	no	—
924	C₂×C₂²⋊C₄	—	146	2	no	—
925	C₂×C₄²	—	146	1	no	—
926	#107	—	73	1	no	—
927	#107	—	73	1	no	—
928	#107	—	73	2	no	—
929	#107	—	73	2	no	—
930	#106	—	73	1	no	—
931	#106	—	73	1	no	—
932	#106	—	73	2	no	—
933	#106	—	73	2	no	—
934	C₄⋊C₈	C₂²×D₇₃	1	2	yes	complemented
935	C₄⋊C₈	C₂²×D₇₃	1	2	yes	complemented
936	#103	—	73	1	no	—
937	#103	—	73	2	no	—
938	#103	—	73	1	no	—
939	#103	—	73	1	no	—
940	#103	—	73	1	no	—
941	#103	—	73	2	no	—
942	#102	—	73	2	no	—
943	#102	—	73	2	no	—
944	#102	—	73	2	no	—
945	#102	—	73	2	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	2	no	—
952	#102	—	73	2	no	—
953	#102	—	73	2	no	—
954	#102	—	73	1	no	—
955	#102	—	73	2	no	—
956	#102	—	73	1	no	—
957	#102	—	73	1	no	—
958	#102	—	73	1	no	—
959	#102	—	73	2	no	—
960	C₂²⋊C₈	C₂²×D₇₃	1	2	yes	—
961	C₂²⋊C₈	C₂²×D₇₃	1	2	yes	—
962	C₂²⋊C₈	C₂²×D₇₃	1	2	yes	complemented
963	C₂²⋊C₈	C₂²×D₇₃	1	2	yes	complemented
964	#97	C₂²×D₇₃	1	2	yes	complemented
965	C₄×C₈	C₂²×D₇₃	1	2	yes	complemented
966	C₂⁴	—	292	4	no	—
967	C₂⁴	—	584	2	no	—
968	C₂⁴	—	584	2	no	—
969	C₂⁴	—	146	2	no	—
970	C₂⁴	—	146	2	no	—
971	C₂⁴	—	146	1	no	—
972	C₂⁴	—	146	2	no	—
973	C₂⁴	—	146	1	no	—
974	C₂⁴	C₂×D₂₉₂	1	1	yes	characteristic
975	#41	—	2	2	no	—
976	#41	—	2	2	no	—
977	#41	—	292	2	no	—
978	#41	—	292	4	no	—
979	#41	—	146	4	no	—
980	#41	—	146	2	no	—
981	#41	—	146	2	no	—
982	#41	—	146	2	no	—
983	#41	—	146	2	no	—
984	C₂×Q₈	—	73	1	no	—
985	C₂×Q₈	—	73	1	no	—
986	C₂×Q₈	—	146	2	no	—
987	C₂×Q₈	C₂×D₂₉₂	1	1	yes	characteristic
988	C₂×D₄	—	292	4	no	—
989	C₂×D₄	—	292	4	no	—
990	C₂×D₄	—	292	4	no	—
991	C₂×D₄	—	292	2	no	—
992	C₂×D₄	—	292	2	no	—
993	C₂×D₄	—	292	2	no	—
994	C₂×D₄	—	292	8	no	—
995	C₂×D₄	—	292	4	no	—
996	C₂×D₄	—	584	4	no	—
997	C₂×D₄	—	584	4	no	—
998	C₂×D₄	—	73	4	no	—
999	C₂×D₄	—	73	2	no	—
1000	C₂×D₄	—	73	2	no	—
1001	C₂×D₄	—	73	1	no	—
1002	C₂×D₄	—	73	1	no	—
1003	C₂×D₄	—	146	4	no	—
1004	C₂×D₄	—	146	4	no	—
1005	C₂×D₄	—	146	4	no	—
1006	C₂×D₄	—	146	1	no	—
1007	C₂×D₄	—	146	1	no	—
1008	C₂×D₄	—	146	1	no	—
1009	C₂×D₄	—	146	1	no	—
1010	C₂×D₄	—	146	2	no	—
1011	C₂×D₄	—	146	1	no	—
1012	C₂×D₄	—	146	1	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	2	no	—
1021	C₂×D₄	—	146	2	no	—
1022	C₂×D₄	—	146	1	no	—
1023	C₂×D₄	—	146	2	no	—
1024	C₂×D₄	—	146	2	no	—
1025	C₂×D₄	—	146	2	no	—
1026	C₂×D₄	C₂×D₂₉₂	1	2	yes	—
1027	C₂×D₄	C₂×D₂₉₂	1	1	yes	characteristic
1028	C₂×D₄	C₂×D₂₉₂	1	2	yes	—
1029	C₂×D₄	C₂×D₂₉₂	1	2	yes	—
1030	C₂²×C₄	—	2	2	no	—
1031	C₂²×C₄	—	2	2	no	—
1032	C₂²×C₄	—	146	2	no	—
1033	C₂²×C₄	—	146	1	no	—
1034	C₂²×C₄	—	146	1	no	—
1035	C₂²×C₄	—	146	1	no	—
1036	C₂²×C₄	—	146	1	no	—
1037	C₂²×C₄	—	146	2	no	—
1038	C₂²×C₄	—	146	2	no	—
1039	C₂²×C₄	—	146	2	no	—
1040	C₂²×C₄	—	146	2	no	—
1041	C₂²×C₄	C₂×D₂₉₂	1	1	yes	characteristic
1042	C₂²×C₄	C₂×D₂₉₂	1	1	yes	characteristic
1043	C₂²×C₄	C₂×D₂₉₂	1	1	yes	characteristic
1044	C₂²×C₄	C₂³×D₇₃	1	1	yes	characteristic
1045	C₂²×C₄	C₂³×D₇₃	1	1	yes	characteristic
1046	C₂²×C₄	C₂³×D₇₃	1	2	yes	—
1047	C₂²×C₄	C₂³×D₇₃	1	1	yes	characteristic
1048	Q₁₆	—	292	1	no	—
1049	SD₁₆	—	292	1	no	—
1050	SD₁₆	—	292	1	no	—
1051	SD₁₆	—	292	2	no	—
1052	SD₁₆	—	146	4	no	—
1053	D₈	—	292	1	no	—
1054	D₈	—	292	2	no	—
1055	D₈	—	146	4	no	—
1056	M₁₆	—	2	2	no	—
1057	M₁₆	—	2	2	no	—
1058	M₁₆	—	4	1	no	—
1059	M₁₆	—	4	1	no	—
1060	M₁₆	—	4	1	no	—
1061	M₁₆	—	4	1	no	—
1062	M₁₆	—	4	2	no	—
1063	C₂×C₈	—	2	2	no	—
1064	C₂×C₈	—	2	2	no	—
1065	C₂×C₈	—	4	2	no	—
1066	C₂×C₈	C₂³×D₇₃	1	1	yes	characteristic
1067	C₂×C₈	C₂³×D₇₃	1	2	yes	—
1068	C₂×C₈	C₂³×D₇₃	1	1	yes	characteristic
1069	C₂×C₈	C₂³×D₇₃	1	2	yes	—
1070	C₂×C₈	C₂³×D₇₃	1	1	yes	characteristic
1071	C₂×C₈	C₂³×D₇₃	1	1	yes	characteristic
1072	C₄⋊C₄	—	73	2	no	—
1073	C₄⋊C₄	—	73	1	no	—
1074	C₄⋊C₄	—	73	2	no	—
1075	C₄⋊C₄	—	73	1	no	—
1076	C₄⋊C₄	—	73	1	no	—
1077	C₄⋊C₄	—	73	1	no	—
1078	C₄⋊C₄	—	146	2	no	—
1079	C₄⋊C₄	—	146	1	no	—
1080	C₄⋊C₄	—	146	2	no	—
1081	C₄⋊C₄	—	146	1	no	—
1082	C₄⋊C₄	—	146	1	no	—
1083	C₄⋊C₄	—	146	1	no	—
1084	C₄⋊C₄	—	146	2	no	—
1085	C₄⋊C₄	—	146	2	no	—
1086	C₄⋊C₄	—	146	1	no	—
1087	C₄⋊C₄	—	146	1	no	—
1088	C₄⋊C₄	—	146	2	no	—
1089	C₄⋊C₄	—	146	2	no	—
1090	C₄⋊C₄	C₂×D₂₉₂	1	1	yes	characteristic
1091	C₄⋊C₄	C₂×D₂₉₂	1	1	yes	characteristic
1092	C₄⋊C₄	C₂×D₂₉₂	1	2	yes	—
1093	C₄⋊C₄	C₂×D₂₉₂	1	2	yes	—
1094	C₂²⋊C₄	—	146	1	no	—
1095	C₂²⋊C₄	—	146	1	no	—
1096	C₂²⋊C₄	—	146	1	no	—
1097	C₂²⋊C₄	—	146	2	no	—
1098	C₂²⋊C₄	—	146	2	no	—
1099	C₂²⋊C₄	—	146	1	no	—
1100	C₂²⋊C₄	—	146	2	no	—
1101	C₂²⋊C₄	—	146	2	no	—
1102	C₂²⋊C₄	—	146	1	no	—
1103	C₂²⋊C₄	—	146	1	no	—
1104	C₂²⋊C₄	—	146	2	no	—
1105	C₂²⋊C₄	—	146	2	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	2	no	—
1113	C₂²⋊C₄	—	146	1	no	—
1114	C₂²⋊C₄	—	146	1	no	—
1115	C₂²⋊C₄	—	146	1	no	—
1116	C₂²⋊C₄	C₂×D₂₉₂	1	2	yes	—
1117	C₂²⋊C₄	C₂×D₂₉₂	1	2	yes	—
1118	C₂²⋊C₄	C₂×D₂₉₂	1	2	yes	—
1119	C₂²⋊C₄	C₂×D₂₉₂	1	2	yes	—
1120	C₂²⋊C₄	C₂×D₂₉₂	1	2	yes	—
1121	C₄²	—	146	2	no	—
1122	C₄²	—	146	2	no	—
1123	C₄²	—	146	2	no	—
1124	C₄²	—	146	1	no	—
1125	C₄²	—	146	1	no	—
1126	C₄²	—	146	2	no	—
1127	C₄²	C₂³×D₇₃	1	2	yes	—
1128	C₂³	—	2	2	no	—
1129	C₂³	—	4	1	no	—
1130	C₂³	—	4	1	no	—
1131	C₂³	—	292	4	no	—
1132	C₂³	—	292	4	no	—
1133	C₂³	—	292	4	no	—
1134	C₂³	—	292	4	no	—
1135	C₂³	—	292	4	no	—
1136	C₂³	—	292	2	no	—
1137	C₂³	—	584	1	no	—
1138	C₂³	—	584	1	no	—
1139	C₂³	—	584	1	no	—
1140	C₂³	—	584	1	no	—
1141	C₂³	—	584	2	no	—
1142	C₂³	—	584	2	no	—
1143	C₂³	—	584	2	no	—
1144	C₂³	—	584	2	no	—
1145	C₂³	—	584	16	no	—
1146	C₂³	—	146	1	no	—
1147	C₂³	—	146	2	no	—
1148	C₂³	—	146	1	no	—
1149	C₂³	—	146	2	no	—
1150	C₂³	—	146	4	no	—
1151	C₂³	C₂²×D₂₉₂	1	1	yes	characteristic
1152	C₂³	C₂²×D₂₉₂	1	1	yes	characteristic
1153	C₂³	C₂²×D₂₉₂	1	2	yes	—
1154	C₂³	C₂²×D₂₉₂	1	1	yes	characteristic
1155	Q₈	—	2	2	no	—
1156	Q₈	—	584	2	no	—
1157	Q₈	—	146	1	no	—
1158	Q₈	—	146	1	no	—
1159	Q₈	—	146	1	no	—
1160	Q₈	—	146	1	no	—
1161	D₄	—	2	4	no	—
1162	D₄	—	2	2	no	—
1163	D₄	—	4	2	no	—
1164	D₄	—	4	2	no	—
1165	D₄	—	292	4	no	—
1166	D₄	—	292	4	no	—
1167	D₄	—	292	4	no	—
1168	D₄	—	292	2	no	—
1169	D₄	—	292	2	no	—
1170	D₄	—	292	4	no	—
1171	D₄	—	292	2	no	—
1172	D₄	—	292	2	no	—
1173	D₄	—	292	2	no	—
1174	D₄	—	584	2	no	—
1175	D₄	—	584	2	no	—
1176	D₄	—	584	2	no	—
1177	D₄	—	584	2	no	—
1178	D₄	—	584	1	no	—
1179	D₄	—	584	2	no	—
1180	D₄	—	584	1	no	—
1181	D₄	—	73	4	no	—
1182	D₄	—	146	1	no	—
1183	D₄	—	146	2	no	—
1184	D₄	—	146	1	no	—
1185	D₄	—	146	1	no	—
1186	D₄	—	146	2	no	—
1187	D₄	—	146	1	no	—
1188	D₄	—	146	2	no	—
1189	D₄	—	146	4	no	—
1190	C₂×C₄	—	2	2	no	—
1191	C₂×C₄	—	2	1	no	—
1192	C₂×C₄	—	2	1	no	—
1193	C₂×C₄	—	2	2	no	—
1194	C₂×C₄	—	2	2	no	—
1195	C₂×C₄	—	2	1	no	—
1196	C₂×C₄	—	2	1	no	—
1197	C₂×C₄	—	2	2	no	—
1198	C₂×C₄	—	2	2	no	—
1199	C₂×C₄	—	292	4	no	—
1200	C₂×C₄	—	292	2	no	—
1201	C₂×C₄	—	292	2	no	—
1202	C₂×C₄	—	584	2	no	—
1203	C₂×C₄	—	584	2	no	—
1204	C₂×C₄	—	584	2	no	—
1205	C₂×C₄	—	584	1	no	—
1206	C₂×C₄	—	584	2	no	—
1207	C₂×C₄	—	584	1	no	—
1208	C₂×C₄	—	146	2	no	—
1209	C₂×C₄	—	146	1	no	—
1210	C₂×C₄	—	146	2	no	—
1211	C₂×C₄	—	146	1	no	—
1212	C₂×C₄	—	146	1	no	—
1213	C₂×C₄	—	146	1	no	—
1214	C₂×C₄	—	146	1	no	—
1215	C₂×C₄	—	146	1	no	—
1216	C₂×C₄	C₂²×D₂₉₂	1	1	yes	characteristic
1217	C₂×C₄	C₂²×D₂₉₂	1	1	yes	characteristic
1218	C₂×C₄	C₂²×D₂₉₂	1	2	yes	—
1219	C₂×C₄	C₂²×D₂₉₂	1	2	yes	—
1220	C₂×C₄	C₂²×D₂₉₂	1	2	yes	—
1221	C₂×C₄	C₂²×D₂₉₂	1	1	yes	characteristic
1222	C₂×C₄	#41×D₇₃	1	2	yes	—
1223	C₂×C₄	#14556636	1	2	yes	—
1224	C₂×C₄	C₂⁴×D₇₃	1	1	yes	characteristic
1225	C₈	—	2	2	no	—
1226	C₈	—	2	1	no	—
1227	C₈	—	2	1	no	—
1228	C₈	—	2	1	no	—
1229	C₈	—	2	1	no	—
1230	C₈	—	2	2	no	—
1231	C₂²	—	2	1	no	—
1232	C₂²	—	2	1	no	—
1233	C₂²	—	2	1	no	—
1234	C₂²	—	2	1	no	—
1235	C₂²	—	2	2	no	—
1236	C₂²	—	2	2	no	—
1237	C₂²	—	2	1	no	—
1238	C₂²	—	2	1	no	—
1239	C₂²	—	2	2	no	—
1240	C₂²	—	2	1	no	—
1241	C₂²	—	2	1	no	—
1242	C₂²	—	4	4	no	—
1243	C₂²	—	292	2	no	—
1244	C₂²	—	292	2	no	—
1245	C₂²	—	292	1	no	—
1246	C₂²	—	292	1	no	—
1247	C₂²	—	292	2	no	—
1248	C₂²	—	292	1	no	—
1249	C₂²	—	292	1	no	—
1250	C₂²	—	292	1	no	—
1251	C₂²	—	292	1	no	—
1252	C₂²	—	292	2	no	—
1253	C₂²	—	292	2	no	—
1254	C₂²	—	584	4	no	—
1255	C₂²	—	584	4	no	—
1256	C₂²	—	584	8	no	—
1257	C₂²	—	584	8	no	—
1258	C₂²	—	1168	4	no	—
1259	C₂²	—	146	4	no	—
1260	C₂²	#17989232	1	2	yes	—
1261	C₂²	C₂³×D₂₉₂	1	1	yes	characteristic
1262	C₄	—	2	1	no	—
1263	C₄	—	2	1	no	—
1264	C₄	—	2	2	no	—
1265	C₄	—	2	2	no	—
1266	C₄	—	2	2	no	—
1267	C₄	—	292	1	no	—
1268	C₄	—	292	1	no	—
1269	C₄	—	292	2	no	—
1270	C₄	—	292	1	no	—
1271	C₄	—	292	1	no	—
1272	C₄	—	292	1	no	—
1273	C₄	—	292	2	no	—
1274	C₄	—	292	1	no	—
1275	C₄	#17989232	1	2	yes	—
1276	C₄	C₂×#41×D₇₃	1	1	yes	characteristic
1277	C₄	C₂×#14556636	1	1	yes	characteristic
1278	C₂	—	2	2	no	—
1279	C₂	—	4	1	no	—
1280	C₂	—	4	1	no	—
1281	C₂	—	4	2	no	—
1282	C₂	—	292	4	no	—
1283	C₂	—	584	2	no	—
1284	C₂	—	584	1	no	—
1285	C₂	—	584	1	no	—
1286	C₂	C₂×#17989232	1	1	yes	characteristic
1287	C₂	#22624712	1	1	yes	characteristic
1288	C₂	#22624712	1	1	yes	characteristic

	subgroup	G/H
center	C₂²	C₂³×D₂₉₂
commutator, cosocle	C₂×C₄×C₇₃	C₂⁵
Frattini	C₂×C₄	C₂⁴×D₇₃
Fitting	C₇₃×#2930	C₂
socle	C₂²×C₇₃	C₂³×D₄
hypercenter	#2930	D₇₃
hypocenter	C₇₃	#61175
LCS	G ▷ C₂×C₄×C₇₃ ▷ C₂×C₇₃ ▷ C₇₃
UCS	C₁ ◁ C₂² ◁ #525 ◁ #2930

Complements

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

N	H ≅ G/N	type
1. #22623648	C₂	semidirect
2. #22623564	C₂	semidirect
3. #22622174	C₂	semidirect
4. #22622163	C₂	semidirect
5. #22622149	C₂	semidirect
6. #22622134	C₂	semidirect
7. #22622089	C₂	semidirect
8. #22622074	C₂	semidirect
9. #22621969	C₂	semidirect
10. #22621954	C₂	semidirect
11. #22620287	C₂	semidirect
12. #22619890	C₂	semidirect
13. #22619864	C₂	semidirect
14. #22619763	C₂	semidirect
15. #22619611	C₂	semidirect
16. #22619540	C₂	semidirect
17. #22619472	C₂	semidirect
18. #22619238	C₂	semidirect
19. #22619161	C₂	semidirect
20. #22618765	C₂	semidirect
21. #22618458	C₂	semidirect
22. C₂×#17988593	C₂	semidirect
23. C₇₃×#2930	C₂	semidirect
27. C₂×#14556619	C₂²	semidirect
28. C₂×#14556613	C₂²	semidirect
30. #17989307	C₂²	semidirect
31. #17989302	C₂²	semidirect
34. #17989283	C₂²	semidirect
35. #17989277	C₂²	semidirect
45. #17989215	C₂²	semidirect
47. #17989165	C₂²	semidirect
53. #17989098	C₂²	semidirect
55. #17989070	C₂²	semidirect
56. #17989067	C₂²	semidirect
58. C₂×#14556550	C₂²	semidirect
59. #17988952	C₂²	semidirect
60. #17988947	C₂²	semidirect
61. #17988942	C₂²	semidirect
62. #17988934	C₂²	semidirect
63. #17988929	C₂²	semidirect
64. #17988929	C₂²	semidirect
65. #17988912	C₂²	semidirect
66. #17988912	C₂²	semidirect
67. #17988912	C₂²	semidirect
68. #17988912	C₂²	semidirect
69. #17988906	C₂²	semidirect
70. #17988901	C₂²	semidirect
71. #17988888	C₂²	semidirect
72. #17988888	C₂²	semidirect
73. #17988878	C₂²	semidirect
74. #17988868	C₂²	semidirect
75. #17988845	C₂²	semidirect
76. #17988845	C₂²	semidirect
77. #17988840	C₂²	semidirect
78. #17988840	C₂²	semidirect
79. #17988840	C₂²	semidirect
80. #17988833	C₂²	semidirect
81. #17988833	C₂²	semidirect
82. #17988833	C₂²	semidirect
83. #17988833	C₂²	semidirect
84. #17988833	C₂²	semidirect
85. #17988823	C₂²	semidirect
86. #17988816	C₂²	semidirect
87. #17988810	C₂²	semidirect
88. #17988803	C₂²	semidirect
89. #17988788	C₂²	semidirect
90. #17988783	C₂²	semidirect
91. #17988751	C₂²	semidirect
92. #17988740	C₂²	semidirect
93. #17988740	C₂²	semidirect
94. #17988740	C₂²	semidirect
95. #17988734	C₂²	semidirect
96. #17988723	C₂²	semidirect
97. #17988723	C₂²	semidirect
98. #17988723	C₂²	semidirect
99. #17988700	C₂²	semidirect
100. #17988689	C₂²	semidirect
101. C₄×#11924017	C₂²	semidirect
102. C₄×D₅₈₄	C₂²	semidirect
103. #17988629	C₂²	semidirect
104. #17988629	C₂²	semidirect
105. #17988625	C₂²	semidirect
107. #17988593	C₂²	semidirect
108. #17988593	C₂²	semidirect
109. #17988593	C₂²	semidirect
110. #17988593	C₂²	semidirect
111. #17988593	C₂²	semidirect
112. #17988593	C₂²	semidirect
113. #17988589	C₂²	semidirect
114. #17988589	C₂²	semidirect
115. #17988589	C₂²	semidirect
116. #17988584	C₂²	semidirect
117. #17988584	C₂²	semidirect
118. #17988584	C₂²	semidirect
121. C₂×#14556513	C₂²	semidirect
122. C₂×#14556513	C₂²	semidirect
123. C₂×#14556513	C₂²	semidirect
124. C₂×#131×C₇₃	C₂²	semidirect
125. C₂²×M₁₆×C₇₃	C₂²	semidirect
127. #436×C₇₃	C₂²	semidirect
128. #436×C₇₃	C₂²	semidirect
129. #435×C₇₃	C₂²	semidirect
130. #435×C₇₃	C₂²	semidirect
131. #424×C₇₃	C₂²	semidirect
132. #408×C₇₃	C₂²	semidirect
133. #407×C₇₃	C₂²	semidirect
134. #405×C₇₃	C₂²	semidirect
159. C₂×Dic₂₉₂	C₂³	semidirect
162. C₂×#11924017	C₂³	semidirect
163. C₂×#11924017	C₂³	semidirect
166. C₂×D₅₈₄	C₂³	semidirect
167. #14556591	C₂³	semidirect
175. #14556583	C₂³	semidirect
193. #14556570	C₂³	semidirect
206. #14556565	C₂³	semidirect
224. C₄×Dic₁₄₆	C₂³	semidirect
228. C₄×D₂₉₂	C₂³	semidirect
245. #14556550	C₂³	semidirect
251. C₂×C₄⋊Dic₇₃	C₂³	semidirect
258. #14556525	C₂³	semidirect
259. #14556525	C₂³	semidirect
260. #14556525	C₂³	semidirect
261. #14556525	C₂³	semidirect
262. #14556523	C₂³	semidirect
263. #14556523	C₂³	semidirect
264. #14556523	C₂³	semidirect
265. #14556523	C₂³	semidirect
266. #14556516	C₂³	semidirect
267. #14556516	C₂³	semidirect
268. #14556516	C₂³	semidirect
269. #14556516	C₂³	semidirect
270. #14556516	C₂³	semidirect
271. #14556516	C₂³	semidirect
284. #14556513	C₂³	semidirect
285. #14556513	C₂³	semidirect
286. #14556513	C₂³	semidirect
287. #14556513	C₂³	semidirect
288. #14556513	C₂³	semidirect
289. #14556513	C₂³	semidirect
300. C₂×M₁₆×C₇₃	C₂³	semidirect
303. C₂²×C₈×C₇₃	C₂³	semidirect
313. C₄⋊C₈×C₇₃	C₂³	semidirect
314. C₄⋊C₈×C₇₃	C₂³	semidirect
317. C₂²⋊C₈×C₇₃	C₂³	semidirect
318. C₂²⋊C₈×C₇₃	C₂³	semidirect
319. #97×C₇₃	C₂³	semidirect
320. C₄×C₈×C₇₃	C₂³	semidirect
665. #2930	D₇₃	semidirect
668. C₇₃	#61175	semidirect
674. C₂×#131	C₂×D₇₃	semidirect
675. C₂²×M₁₆	C₂×D₇₃	semidirect
751. #436	C₂×D₇₃	semidirect
752. #436	C₂×D₇₃	semidirect
753. #435	C₂×D₇₃	semidirect
754. #435	C₂×D₇₃	semidirect
758. #424	C₂×D₇₃	semidirect
777. #408	C₂×D₇₃	semidirect
778. #407	C₂×D₇₃	semidirect
779. #405	C₂×D₇₃	semidirect
822. C₂×M₁₆	C₂²×D₇₃	semidirect
825. C₂²×C₈	C₂²×D₇₃	semidirect
934. C₄⋊C₈	C₂²×D₇₃	semidirect
935. C₄⋊C₈	C₂²×D₇₃	semidirect
962. C₂²⋊C₈	C₂²×D₇₃	semidirect
963. C₂²⋊C₈	C₂²×D₇₃	semidirect
964. #97	C₂²×D₇₃	semidirect
965. C₄×C₈	C₂²×D₇₃	semidirect

Maximal subgroups

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

subgroup	index
#22623648	2
#22623564	2
#22622174	2
#22622163	2
#22622149	2
#22622134	2
#22622089	2
#22622074	2
#22621969	2
#22621954	2
#22620287	2
#22619890	2
#22619864	2
#22619763	2
#22619611	2
#22619540	2
#22619472	2
#22619238	2
#22619161	2
#22618765	2
#22618458	2
C₂×#17988593	2
C₇₃×#2930	2
#61175	73