Subgroups — #33963371

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	#22623564	C₂	1	1	yes	maximal, characteristic, complemented
2	#22622167	C₂	1	2	yes	maximal, complemented
3	#22622156	C₂	1	2	yes	maximal, complemented
4	#22622141	C₂	1	2	yes	maximal, complemented
5	#22622126	C₂	1	2	yes	maximal, complemented
6	#22622081	C₂	1	2	yes	maximal, complemented
7	#22622066	C₂	1	2	yes	maximal, complemented
8	#22621961	C₂	1	2	yes	maximal, complemented
9	#22621946	C₂	1	2	yes	maximal, complemented
10	#22620290	C₂	1	1	yes	maximal, characteristic, complemented
11	#22619889	C₂	1	1	yes	maximal, characteristic, complemented
12	#22619862	C₂	1	1	yes	maximal, characteristic, complemented
13	#22619756	C₂	1	1	yes	maximal, characteristic, complemented
14	#22619613	C₂	1	1	yes	maximal, characteristic, complemented
15	#22619537	C₂	1	1	yes	maximal, characteristic, complemented
16	#22619470	C₂	1	1	yes	maximal, characteristic, complemented
17	#22619232	C₂	1	1	yes	maximal, characteristic, complemented
18	#22619157	C₂	1	1	yes	maximal, characteristic, complemented
19	#22618759	C₂	1	1	yes	maximal, characteristic, complemented
20	#22618635	C₂	1	1	yes	maximal, characteristic, complemented
21	#22618454	C₂	1	1	yes	maximal, characteristic, complemented
22	C₂×#17988591	C₂	1	1	yes	maximal, characteristic, complemented
23	C₇₃×#3493	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×#14556616	C₂²	1	1	yes	characteristic
27	C₂×#14556616	C₂²	1	1	yes	characteristic, complemented
28	C₂×#14556611	C₂²	1	1	yes	characteristic, complemented
29	C₂×#14556598	C₂²	1	1	yes	characteristic, complemented
30	C₂²×#11924012	C₂²	1	1	yes	characteristic, complemented
31	#17989233	C₂²	1	2	yes	—
32	#17989233	C₂²	1	2	yes	—
33	#17989228	—	2	1	no	—
34	#17989228	—	2	1	no	—
35	D₄×D₂₉₂	C₂²	1	2	yes	—
36	D₄×D₂₉₂	C₂²	1	2	yes	—
37	#17989221	—	2	1	no	—
38	#17989221	—	2	1	no	—
39	#17989156	C₂²	1	1	yes	characteristic
40	#17989151	C₂²	1	1	yes	characteristic
41	#17989148	—	2	2	no	—
42	#17989098	C₂²	1	1	yes	characteristic
43	#120×D₇₃	—	2	2	no	—
44	#17989061	C₂²	1	1	yes	characteristic
45	#17988953	C₂²	1	2	yes	complemented
46	#17988949	C₂²	1	2	yes	complemented
47	#17988944	C₂²	1	2	yes	complemented
48	#17988935	C₂²	1	2	yes	complemented
49	#17988928	C₂²	1	2	yes	complemented
50	#17988928	C₂²	1	2	yes	complemented
51	#17988911	C₂²	1	2	yes	complemented
52	#17988911	C₂²	1	2	yes	complemented
53	#17988911	C₂²	1	2	yes	complemented
54	#17988911	C₂²	1	2	yes	complemented
55	#17988905	C₂²	1	2	yes	complemented
56	#17988900	C₂²	1	2	yes	complemented
57	#17988884	C₂²	1	2	yes	complemented
58	#17988884	C₂²	1	2	yes	complemented
59	#17988874	C₂²	1	2	yes	complemented
60	#17988864	C₂²	1	2	yes	complemented
61	#17988843	C₂²	1	1	yes	characteristic, complemented
62	#17988843	C₂²	1	1	yes	characteristic, complemented
63	#17988838	C₂²	1	1	yes	characteristic, complemented
64	#17988838	C₂²	1	1	yes	characteristic, complemented
65	#17988838	C₂²	1	2	yes	complemented
66	#17988835	C₂²	1	1	yes	characteristic, complemented
67	#17988835	C₂²	1	1	yes	characteristic, complemented
68	#17988835	C₂²	1	2	yes	complemented
69	#17988831	C₂²	1	1	yes	characteristic, complemented
70	#17988831	C₂²	1	1	yes	characteristic, complemented
71	#17988821	C₂²	1	2	yes	complemented
72	#17988818	C₂²	1	2	yes	complemented
73	#17988809	C₂²	1	2	yes	complemented
74	#17988802	C₂²	1	2	yes	complemented
75	#17988787	C₂²	1	2	yes	complemented
76	#17988782	C₂²	1	2	yes	complemented
77	#17988747	C₂²	1	2	yes	complemented
78	#17988737	C₂²	1	2	yes	complemented
79	#17988737	C₂²	1	2	yes	complemented
80	#17988737	C₂²	1	2	yes	complemented
81	#17988730	C₂²	1	2	yes	complemented
82	#17988720	C₂²	1	2	yes	complemented
83	#17988720	C₂²	1	2	yes	complemented
84	#17988720	C₂²	1	2	yes	complemented
85	#17988697	C₂²	1	2	yes	complemented
86	#17988685	C₂²	1	2	yes	complemented
87	C₄×#11924015	C₂²	1	2	yes	complemented
88	C₄×#11924013	C₂²	1	2	yes	complemented
89	#17988665	C₂²	1	2	yes	complemented
90	#17988665	C₂²	1	2	yes	complemented
91	#17988659	C₂²	1	2	yes	complemented
92	#17988659	C₂²	1	2	yes	complemented
93	#17988627	C₂²	1	1	yes	characteristic, complemented
94	#17988627	C₂²	1	1	yes	characteristic, complemented
95	#17988623	C₂²	1	1	yes	characteristic, complemented
96	#17988614	C₂²	1	1	yes	characteristic, complemented
97	#17988591	C₂²	1	1	yes	characteristic
98	#17988591	C₂²	1	2	yes	complemented
99	#17988591	C₂²	1	1	yes	characteristic, complemented
100	#17988591	C₂²	1	2	yes	complemented
101	#17988591	C₂²	1	2	yes	complemented
102	#17988591	C₂²	1	2	yes	complemented
103	#17988591	C₂²	1	2	yes	complemented
104	#17988586	C₂²	1	1	yes	characteristic, complemented
105	#17988586	C₂²	1	1	yes	characteristic, complemented
106	#17988586	C₂²	1	2	yes	complemented
107	#17988583	C₂²	1	1	yes	characteristic, complemented
108	#17988581	C₂²	1	1	yes	characteristic, complemented
109	#17988581	C₂²	1	2	yes	complemented
110	C₂×#14556511	C₂²	1	1	yes	characteristic
111	C₂×#14556511	C₂²	1	1	yes	characteristic
112	C₂×#14556511	C₂²	1	1	yes	characteristic, complemented
113	C₂×#14556511	C₂²	1	1	yes	characteristic, complemented
114	C₂×#14556511	C₂²	1	2	yes	complemented
115	#17988554	C₂²	1	1	yes	characteristic, complemented
116	#17988551	C₂²	1	1	yes	characteristic, complemented
117	#17988543	C₂²	1	1	yes	characteristic, complemented
118	#556×C₇₃	—	2	1	no	—
119	#556×C₇₃	C₂²	1	2	yes	complemented
120	#555×C₇₃	—	2	1	no	—
121	#555×C₇₃	C₂²	1	2	yes	complemented
122	#553×C₇₃	—	2	1	no	—
123	#553×C₇₃	C₂²	1	2	yes	complemented
124	#552×C₇₃	—	2	1	no	—
125	#552×C₇₃	C₂²	1	2	yes	complemented
126	#544×C₇₃	C₂²	1	1	yes	characteristic, complemented
127	#538×C₇₃	—	2	2	no	—
128	#537×C₇₃	C₂²	1	1	yes	characteristic, complemented
129	#529×C₇₃	—	2	2	no	—
130	#525×C₇₃	C₂²	1	1	yes	characteristic
131	#525×C₇₃	C₂²	1	1	yes	characteristic, complemented
132	#520×C₇₃	C₂²	1	1	yes	characteristic, complemented
133	#520×C₇₃	C₂²	1	1	yes	characteristic, complemented
134	C₂×#117×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	2	yes	—
141	C₂²×D₂₉₂	—	2	4	no	—
142	C₂²×D₂₉₂	—	2	1	no	—
143	C₂²×D₂₉₂	—	2	1	no	—
144	C₂²×D₂₉₂	—	2	1	no	—
145	C₂²×D₂₉₂	—	4	2	no	—
146	C₂²×D₂₉₂	C₂³	1	1	yes	characteristic
147	C₂²×D₂₉₂	C₂³	1	2	yes	—
148	C₂²×D₂₉₂	C₂³	1	2	yes	—
149	C₂²×D₂₉₂	C₂³	1	2	yes	—
150	C₂²×D₂₉₂	C₂³	1	1	yes	characteristic
151	C₂×D₄×D₇₃	—	2	2	no	—
152	C₂×D₄×D₇₃	—	2	1	no	—
153	C₂×D₄×D₇₃	—	2	2	no	—
154	C₂×D₄×D₇₃	—	2	2	no	—
155	#14556616	—	2	4	no	—
156	#14556616	—	4	2	no	—
157	#14556611	—	4	2	no	—
158	C₂×#11924018	C₂³	1	1	yes	characteristic, complemented
159	C₂×#11924016	C₂³	1	1	yes	characteristic, complemented
160	C₂×#11924015	C₂³	1	2	yes	—
161	C₂×#11924015	C₂³	1	2	yes	—
162	C₂×#11924015	C₂³	1	1	yes	characteristic, complemented
163	C₂×#11924013	C₂³	1	2	yes	—
164	C₂×#11924013	C₂³	1	2	yes	—
165	C₂×#11924013	C₂³	1	1	yes	characteristic, complemented
166	#14556598	—	4	2	no	—
167	C₂×#11924012	—	4	2	no	—
168	C₂×#11924012	C₂³	1	1	yes	characteristic
169	C₂×#11924012	C₂³	1	1	yes	characteristic
170	C₂×#11924012	C₂³	1	1	yes	characteristic
171	C₂×#11924012	C₂³	1	1	yes	characteristic
172	C₂×#11924012	C₂³	1	1	yes	characteristic
173	C₂×#11924012	C₂³	1	1	yes	characteristic
174	C₂×#11924012	C₂³	1	2	yes	complemented
175	C₂²×#10596831	C₂³	1	1	yes	characteristic
176	C₂²×#10596831	C₂³	1	1	yes	characteristic
177	C₂²×#10596831	C₂³	1	2	yes	complemented
178	#14556588	C₂³	1	2	yes	—
179	#14556587	—	2	1	no	—
180	#14556580	—	2	1	no	—
181	#14556579	C₂³	1	2	yes	—
182	#14556576	—	2	2	no	—
183	#14556576	—	2	2	no	—
184	#14556574	—	2	1	no	—
185	#14556570	C₂³	1	1	yes	characteristic
186	#14556570	C₂³	1	1	yes	characteristic
187	#14556566	—	2	2	no	—
188	#14556566	—	2	2	no	—
189	#14556566	—	2	1	no	—
190	#14556566	—	2	1	no	—
191	#14556565	C₂³	1	2	yes	—
192	#14556565	C₂³	1	2	yes	—
193	#14556565	C₂³	1	1	yes	characteristic
194	#14556565	C₂³	1	1	yes	characteristic
195	#14556564	—	2	2	no	—
196	#14556564	—	2	2	no	—
197	#14556561	—	2	2	no	—
198	#14556561	—	2	2	no	—
199	#14556561	—	2	2	no	—
200	#14556561	—	2	2	no	—
201	#14556561	—	2	2	no	—
202	#14556560	—	2	1	no	—
203	#14556559	—	2	2	no	—
204	#14556559	—	2	2	no	—
205	#14556559	—	2	2	no	—
206	C₄×D₂₉₂	C₂³	1	2	yes	—
207	C₄×D₂₉₂	C₂³	1	2	yes	—
208	#14556553	—	2	1	no	—
209	#14556553	—	2	1	no	—
210	C₄×C₂²⋊D₇₃	—	2	1	no	—
211	C₄×C₂²⋊D₇₃	—	2	1	no	—
212	#14556550	C₂³	1	1	yes	characteristic
213	C₂²⋊C₄×D₇₃	—	2	2	no	—
214	C₂²⋊C₄×D₇₃	—	2	2	no	—
215	C₂²⋊C₄×D₇₃	—	2	2	no	—
216	#14556524	C₂³	1	1	yes	characteristic, complemented
217	#14556524	C₂³	1	2	yes	complemented
218	#14556524	C₂³	1	1	yes	characteristic, complemented
219	#14556524	C₂³	1	2	yes	complemented
220	#14556522	C₂³	1	1	yes	characteristic, complemented
221	#14556522	C₂³	1	2	yes	complemented
222	#14556522	C₂³	1	1	yes	characteristic, complemented
223	#14556522	C₂³	1	2	yes	complemented
224	C₄⋊#10596831	C₂³	1	2	yes	complemented
225	C₄⋊#10596831	C₂³	1	2	yes	complemented
226	#14556515	C₂³	1	1	yes	characteristic, complemented
227	#14556515	C₂³	1	1	yes	characteristic, complemented
228	#14556514	C₂³	1	2	yes	complemented
229	#14556514	C₂³	1	2	yes	complemented
230	#14556514	C₂³	1	1	yes	characteristic, complemented
231	#14556514	C₂³	1	1	yes	characteristic, complemented
232	#14556512	C₂³	1	1	yes	characteristic, complemented
233	#14556512	C₂³	1	1	yes	characteristic, complemented
234	#14556511	C₂³	1	2	yes	—
235	#14556511	C₂³	1	2	yes	—
236	#14556511	C₂³	1	2	yes	—
237	#14556511	C₂³	1	2	yes	—
238	#14556511	C₂³	1	2	yes	—
239	#14556511	C₂³	1	2	yes	—
240	#14556511	C₂³	1	2	yes	—
241	#14556511	C₂³	1	2	yes	—
242	#14556511	C₂³	1	2	yes	—
243	#14556511	C₂³	1	2	yes	—
244	#14556511	C₂³	1	2	yes	—
245	#14556511	C₂³	1	2	yes	—
246	#14556511	C₂³	1	2	yes	complemented
247	#14556511	C₂³	1	2	yes	complemented
248	#14556511	C₂³	1	1	yes	characteristic, complemented
249	#14556511	C₂³	1	1	yes	characteristic, complemented
250	C₂²⋊#10596831	C₂³	1	2	yes	—
251	C₂²⋊#10596831	C₂³	1	2	yes	—
252	C₂²⋊#10596831	C₂³	1	2	yes	complemented
253	C₂²⋊#10596831	C₂³	1	2	yes	complemented
254	#14556502	C₂³	1	2	yes	complemented
255	C₄×#10596831	C₂³	1	2	yes	complemented
256	C₂×#41×C₇₃	C₂³	1	1	yes	characteristic
257	C₂×#41×C₇₃	C₂³	1	1	yes	characteristic
258	C₂³×C₄×C₇₃	C₂³	1	1	yes	characteristic
259	C₄⋊Q₈×C₇₃	—	2	1	no	—
260	C₄⋊Q₈×C₇₃	C₂³	1	2	yes	complemented
261	#126×C₇₃	—	2	2	no	—
262	#126×C₇₃	—	2	2	no	—
263	#126×C₇₃	—	2	2	no	—
264	#126×C₇₃	—	2	2	no	—
265	#125×C₇₃	—	2	2	no	—
266	#125×C₇₃	—	2	1	no	—
267	#125×C₇₃	C₂³	1	2	yes	complemented
268	#124×C₇₃	—	2	2	no	—
269	#124×C₇₃	—	2	2	no	—
270	#124×C₇₃	—	2	2	no	—
271	#123×C₇₃	—	2	2	no	—
272	#123×C₇₃	—	2	1	no	—
273	#123×C₇₃	—	2	2	no	—
274	#123×C₇₃	D₄	1	2	yes	—
275	C₂²⋊Q₈×C₇₃	—	2	1	no	—
276	C₂²⋊Q₈×C₇₃	—	2	2	no	—
277	C₂²⋊Q₈×C₇₃	D₄	1	1	yes	characteristic
278	C₂²⋊Q₈×C₇₃	D₄	1	1	yes	characteristic
279	C₂²⋊Q₈×C₇₃	C₂³	1	1	yes	characteristic
280	C₂²⋊Q₈×C₇₃	C₂³	1	1	yes	characteristic
281	C₂²⋊Q₈×C₇₃	C₂³	1	2	yes	complemented
282	#121×C₇₃	—	2	2	no	—
283	#121×C₇₃	—	2	1	no	—
284	#121×C₇₃	—	2	2	no	—
285	#121×C₇₃	—	2	2	no	—
286	#121×C₇₃	D₄	1	1	yes	characteristic
287	#121×C₇₃	D₄	1	1	yes	characteristic
288	#121×C₇₃	C₂³	1	1	yes	characteristic
289	#121×C₇₃	C₂³	1	1	yes	characteristic
290	#121×C₇₃	C₂³	1	2	yes	complemented
291	#120×C₇₃	—	2	1	no	—
292	#120×C₇₃	D₄	1	2	yes	—
293	C₄×Q₈×C₇₃	—	2	1	no	—
294	C₄×Q₈×C₇₃	—	2	2	no	—
295	C₄×Q₈×C₇₃	C₂³	1	2	yes	complemented
296	C₄×D₄×C₇₃	—	2	2	no	—
297	C₄×D₄×C₇₃	—	2	1	no	—
298	C₄×D₄×C₇₃	—	2	1	no	—
299	C₄×D₄×C₇₃	—	2	1	no	—
300	C₄×D₄×C₇₃	—	2	2	no	—
301	C₄×D₄×C₇₃	—	2	2	no	—
302	C₄×D₄×C₇₃	C₂³	1	2	yes	—
303	C₄×D₄×C₇₃	C₂³	1	2	yes	—
304	C₄×D₄×C₇₃	C₂³	1	2	yes	complemented
305	#117×C₇₃	—	2	1	no	—
306	#117×C₇₃	—	2	1	no	—
307	#117×C₇₃	—	2	1	no	—
308	#117×C₇₃	—	2	2	no	—
309	#117×C₇₃	—	2	2	no	—
310	#117×C₇₃	C₂³	1	1	yes	characteristic
311	#117×C₇₃	C₂³	1	2	yes	—
312	#117×C₇₃	C₂³	1	2	yes	—
313	#117×C₇₃	C₂³	1	1	yes	characteristic
314	#117×C₇₃	C₂³	1	2	yes	complemented
315	C₂×C₄⋊C₄×C₇₃	—	2	1	no	—
316	C₂×C₄⋊C₄×C₇₃	C₂³	1	1	yes	characteristic
317	C₂×C₄⋊C₄×C₇₃	C₂³	1	1	yes	characteristic
318	C₂×C₄⋊C₄×C₇₃	C₂³	1	2	yes	complemented
319	C₂×C₂²⋊C₄×C₇₃	—	2	1	no	—
320	C₂×C₄²×C₇₃	—	2	1	no	—
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	4	no	—
333	#11924028	—	4	2	no	—
334	C₂×Dic₁₄₆	C₂⁴	1	1	yes	characteristic
335	C₂×D₂₉₂	—	2	1	no	—
336	C₂×D₂₉₂	—	2	2	no	—
337	C₂×D₂₉₂	—	2	2	no	—
338	C₂×D₂₉₂	—	2	2	no	—
339	C₂×D₂₉₂	—	2	4	no	—
340	C₂×D₂₉₂	—	2	4	no	—
341	C₂×D₂₉₂	—	2	4	no	—
342	C₂×D₂₉₂	—	2	2	no	—
343	C₂×D₂₉₂	—	2	2	no	—
344	C₂×D₂₉₂	—	2	2	no	—
345	C₂×D₂₉₂	—	2	1	no	—
346	C₂×D₂₉₂	—	2	2	no	—
347	C₂×D₂₉₂	—	2	2	no	—
348	C₂×D₂₉₂	—	4	2	no	—
349	C₂×D₂₉₂	—	4	2	no	—
350	C₂×D₂₉₂	—	4	2	no	—
351	C₂×D₂₉₂	—	4	4	no	—
352	C₂×D₂₉₂	—	4	4	no	—
353	C₂×D₂₉₂	—	4	4	no	—
354	C₂×D₂₉₂	#41	1	4	yes	—
355	C₂×D₂₉₂	C₂⁴	1	2	yes	—
356	C₂×D₂₉₂	C₂⁴	1	1	yes	characteristic
357	C₂×D₂₉₂	C₂⁴	1	2	yes	—
358	C₂×C₂²⋊D₇₃	—	2	1	no	—
359	C₂×C₂²⋊D₇₃	—	2	1	no	—
360	C₂×C₂²⋊D₇₃	—	2	2	no	—
361	C₂×C₂²⋊D₇₃	—	2	1	no	—
362	C₂×C₂²⋊D₇₃	—	2	2	no	—
363	C₂×C₂²⋊D₇₃	—	2	2	no	—
364	D₄×D₇₃	—	4	4	no	—
365	D₄×D₇₃	—	4	8	no	—
366	D₄×D₇₃	—	8	4	no	—
367	D₄×D₇₃	—	8	4	no	—
368	C₂×C₄×D₇₃	—	2	2	no	—
369	C₂×C₄×D₇₃	—	2	1	no	—
370	C₂×C₄×D₇₃	—	2	2	no	—
371	C₂×C₄×D₇₃	—	2	2	no	—
372	#11924018	—	4	1	no	—
373	#11924016	—	4	1	no	—
374	#11924015	—	2	4	no	—
375	#11924015	—	4	2	no	—
376	#11924015	—	4	1	no	—
377	#11924013	—	2	4	no	—
378	#11924013	—	4	2	no	—
379	#11924013	—	4	1	no	—
380	#11924012	—	2	2	no	—
381	#11924012	—	2	2	no	—
382	#11924012	—	4	1	no	—
383	#11924012	—	4	1	no	—
384	#11924012	—	4	1	no	—
385	#11924012	—	4	1	no	—
386	#11924012	—	4	2	no	—
387	C₂×#10596831	—	2	2	no	—
388	C₂×#10596831	—	2	2	no	—
389	C₂×#10596831	—	4	2	no	—
390	C₂×#10596831	C₂⁴	1	1	yes	characteristic
391	C₂×#10596831	C₂⁴	1	2	yes	—
392	C₂×#10596831	C₂⁴	1	1	yes	characteristic
393	C₂×#10596831	C₂⁴	1	2	yes	—
394	C₂×#10596831	C₂⁴	1	1	yes	characteristic
395	C₂×#10596831	C₂⁴	1	1	yes	characteristic
396	C₄⋊Dic₇₃	C₂⁴	1	1	yes	characteristic
397	C₄⋊Dic₇₃	C₂⁴	1	1	yes	characteristic
398	#11924007	—	2	1	no	—
399	#11924007	—	2	1	no	—
400	C₂²⋊Dic₇₃	—	2	1	no	—
401	C₂²⋊Dic₇₃	—	2	1	no	—
402	C₂²⋊Dic₇₃	—	2	1	no	—
403	#11924005	—	2	2	no	—
404	#11924005	—	2	2	no	—
405	#11924005	—	2	2	no	—
406	#11924005	—	2	2	no	—
407	#11924005	—	2	2	no	—
408	#11924005	—	2	2	no	—
409	#11924005	—	2	1	no	—
410	#11924005	—	2	1	no	—
411	C₄×Dic₇₃	—	2	1	no	—
412	C₂⁴×C₇₃	C₂×D₄	1	1	yes	characteristic
413	#41×C₇₃	—	2	2	no	—
414	#41×C₇₃	—	2	2	no	—
415	#41×C₇₃	—	2	2	no	—
416	#41×C₇₃	—	2	2	no	—
417	C₂×Q₈×C₇₃	—	2	2	no	—
418	C₂×Q₈×C₇₃	C₂×D₄	1	1	yes	characteristic
419	C₂×Q₈×C₇₃	C₂⁴	1	1	yes	characteristic
420	C₂×D₄×C₇₃	—	2	1	no	—
421	C₂×D₄×C₇₃	—	2	1	no	—
422	C₂×D₄×C₇₃	—	2	1	no	—
423	C₂×D₄×C₇₃	—	2	2	no	—
424	C₂×D₄×C₇₃	C₂×D₄	1	2	yes	—
425	C₂×D₄×C₇₃	C₂×D₄	1	1	yes	characteristic
426	C₂×D₄×C₇₃	C₂×D₄	1	2	yes	—
427	C₂×D₄×C₇₃	C₂×D₄	1	2	yes	—
428	C₂×D₄×C₇₃	C₂⁴	1	1	yes	characteristic
429	C₂²×C₄×C₇₃	—	2	2	no	—
430	C₂²×C₄×C₇₃	—	2	2	no	—
431	C₂²×C₄×C₇₃	—	2	1	no	—
432	C₂²×C₄×C₇₃	—	2	1	no	—
433	C₂²×C₄×C₇₃	—	2	2	no	—
434	C₂²×C₄×C₇₃	—	2	1	no	—
435	C₂²×C₄×C₇₃	—	2	2	no	—
436	C₂²×C₄×C₇₃	C₂×D₄	1	1	yes	characteristic
437	C₂²×C₄×C₇₃	C₂×D₄	1	1	yes	characteristic
438	C₂²×C₄×C₇₃	C₂×D₄	1	1	yes	characteristic
439	C₂²×C₄×C₇₃	C₂⁴	1	2	yes	—
440	C₂²×C₄×C₇₃	C₂⁴	1	1	yes	characteristic
441	C₂²×C₄×C₇₃	C₂⁴	1	1	yes	characteristic
442	C₂²×C₄×C₇₃	C₂⁴	1	1	yes	characteristic
443	C₄⋊C₄×C₇₃	—	2	1	no	—
444	C₄⋊C₄×C₇₃	—	2	2	no	—
445	C₄⋊C₄×C₇₃	—	2	1	no	—
446	C₄⋊C₄×C₇₃	—	2	2	no	—
447	C₄⋊C₄×C₇₃	—	2	1	no	—
448	C₄⋊C₄×C₇₃	—	2	2	no	—
449	C₄⋊C₄×C₇₃	—	2	2	no	—
450	C₄⋊C₄×C₇₃	—	2	1	no	—
451	C₄⋊C₄×C₇₃	—	2	2	no	—
452	C₄⋊C₄×C₇₃	—	2	2	no	—
453	C₄⋊C₄×C₇₃	C₂×D₄	1	1	yes	characteristic
454	C₄⋊C₄×C₇₃	C₂×D₄	1	1	yes	characteristic
455	C₄⋊C₄×C₇₃	C₂×D₄	1	2	yes	—
456	C₄⋊C₄×C₇₃	C₂×D₄	1	2	yes	—
457	C₄⋊C₄×C₇₃	C₂⁴	1	2	yes	—
458	C₄⋊C₄×C₇₃	C₂⁴	1	2	yes	—
459	C₄⋊C₄×C₇₃	C₂⁴	1	1	yes	characteristic
460	C₄⋊C₄×C₇₃	C₂⁴	1	1	yes	characteristic
461	C₂²⋊C₄×C₇₃	—	2	2	no	—
462	C₂²⋊C₄×C₇₃	—	2	2	no	—
463	C₂²⋊C₄×C₇₃	—	2	2	no	—
464	C₂²⋊C₄×C₇₃	—	2	1	no	—
465	C₂²⋊C₄×C₇₃	—	2	2	no	—
466	C₂²⋊C₄×C₇₃	—	2	1	no	—
467	C₂²⋊C₄×C₇₃	—	2	1	no	—
468	C₂²⋊C₄×C₇₃	—	2	1	no	—
469	C₂²⋊C₄×C₇₃	—	2	2	no	—
470	C₂²⋊C₄×C₇₃	—	2	2	no	—
471	C₂²⋊C₄×C₇₃	—	2	1	no	—
472	C₂²⋊C₄×C₇₃	C₂×D₄	1	2	yes	—
473	C₂²⋊C₄×C₇₃	C₂×D₄	1	2	yes	—
474	C₂²⋊C₄×C₇₃	C₂×D₄	1	2	yes	—
475	C₂²⋊C₄×C₇₃	C₂×D₄	1	2	yes	—
476	C₂²⋊C₄×C₇₃	C₂×D₄	1	2	yes	—
477	C₄²×C₇₃	—	2	2	no	—
478	C₄²×C₇₃	—	2	2	no	—
479	C₄²×C₇₃	—	2	2	no	—
480	C₄²×C₇₃	—	2	2	no	—
481	C₄²×C₇₃	—	2	1	no	—
482	C₄²×C₇₃	C₂⁴	1	2	yes	—
483	C₂³×C₇₃	—	2	2	no	—
484	C₂³×C₇₃	—	2	1	no	—
485	C₂³×C₇₃	—	4	1	no	—
486	C₂³×C₇₃	—	4	1	no	—
487	C₂³×C₇₃	C₂²×D₄	1	1	yes	characteristic
488	C₂³×C₇₃	C₂²×D₄	1	1	yes	characteristic
489	C₂³×C₇₃	C₂²×D₄	1	2	yes	—
490	C₂³×C₇₃	C₂²×D₄	1	1	yes	characteristic
491	C₂²×D₇₃	—	2	2	no	—
492	C₂²×D₇₃	—	2	4	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	Q₈×C₇₃	—	2	1	no	—
512	Q₈×C₇₃	—	2	1	no	—
513	Q₈×C₇₃	—	8	2	no	—
514	D₄×C₇₃	—	2	4	no	—
515	D₄×C₇₃	—	2	2	no	—
516	D₄×C₇₃	—	2	1	no	—
517	D₄×C₇₃	—	2	1	no	—
518	D₄×C₇₃	—	4	2	no	—
519	D₄×C₇₃	—	4	2	no	—
520	D₄×C₇₃	—	4	2	no	—
521	D₄×C₇₃	—	8	1	no	—
522	D₄×C₇₃	—	8	2	no	—
523	D₄×C₇₃	—	8	1	no	—
524	C₂×C₄×C₇₃	—	2	2	no	—
525	C₂×C₄×C₇₃	—	2	2	no	—
526	C₂×C₄×C₇₃	—	2	2	no	—
527	C₂×C₄×C₇₃	—	2	1	no	—
528	C₂×C₄×C₇₃	—	2	1	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	2	no	—
533	C₂×C₄×C₇₃	—	2	2	no	—
534	C₂×C₄×C₇₃	—	2	1	no	—
535	C₂×C₄×C₇₃	—	2	1	no	—
536	C₂×C₄×C₇₃	—	2	2	no	—
537	C₂×C₄×C₇₃	—	2	1	no	—
538	C₂×C₄×C₇₃	—	4	2	no	—
539	C₂×C₄×C₇₃	—	8	2	no	—
540	C₂×C₄×C₇₃	—	8	1	no	—
541	C₂×C₄×C₇₃	—	8	2	no	—
542	C₂×C₄×C₇₃	—	8	1	no	—
543	C₂×C₄×C₇₃	C₂²×D₄	1	1	yes	characteristic
544	C₂×C₄×C₇₃	C₂²×D₄	1	1	yes	characteristic
545	C₂×C₄×C₇₃	C₂²×D₄	1	2	yes	—
546	C₂×C₄×C₇₃	C₂²×D₄	1	2	yes	—
547	C₂×C₄×C₇₃	C₂²×D₄	1	2	yes	—
548	C₂×C₄×C₇₃	C₂²×D₄	1	1	yes	characteristic
549	C₂×C₄×C₇₃	C₂×#41	1	2	yes	—
550	C₂×C₄×C₇₃	H(5,𝔽₂)	1	2	yes	—
551	C₂×C₄×C₇₃	C₂⁵	1	1	yes	characteristic
552	C₂²⋊D₇₃	—	4	4	no	—
553	C₂²⋊D₇₃	—	4	2	no	—
554	C₂²⋊D₇₃	—	4	2	no	—
555	C₂²⋊D₇₃	—	4	2	no	—
556	C₂²⋊D₇₃	—	8	2	no	—
557	C₂²⋊D₇₃	—	8	2	no	—
558	C₂×Dic₇₃	—	2	1	no	—
559	C₂×Dic₇₃	—	2	1	no	—
560	C₂×Dic₇₃	—	2	1	no	—
561	D₂₉₂	—	2	4	no	—
562	D₂₉₂	—	2	2	no	—
563	D₂₉₂	—	2	1	no	—
564	D₂₉₂	—	2	2	no	—
565	D₂₉₂	—	2	2	no	—
566	D₂₉₂	—	2	1	no	—
567	D₂₉₂	—	4	4	no	—
568	D₂₉₂	—	4	4	no	—
569	D₂₉₂	—	4	4	no	—
570	D₂₉₂	—	4	2	no	—
571	D₂₉₂	—	8	2	no	—
572	D₂₉₂	—	8	2	no	—
573	D₂₉₂	C₂×#41	1	4	yes	—
574	C₄×D₇₃	—	4	4	no	—
575	C₄×D₇₃	—	4	2	no	—
576	C₄×D₇₃	—	8	2	no	—
577	C₄×D₇₃	—	8	2	no	—
578	Dic₁₄₆	—	2	1	no	—
579	Dic₁₄₆	—	2	1	no	—
580	#10596831	—	2	2	no	—
581	#10596831	—	2	1	no	—
582	#10596831	—	2	1	no	—
583	#10596831	—	2	1	no	—
584	#10596831	—	2	1	no	—
585	#10596831	—	2	2	no	—
586	C₂²×C₇₃	—	2	1	no	—
587	C₂²×C₇₃	—	2	1	no	—
588	C₂²×C₇₃	—	2	1	no	—
589	C₂²×C₇₃	—	2	1	no	—
590	C₂²×C₇₃	—	2	2	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	—	4	1	no	—
599	C₂²×C₇₃	—	4	1	no	—
600	C₂²×C₇₃	—	4	1	no	—
601	C₂²×C₇₃	#546	1	2	yes	—
602	C₂²×C₇₃	C₂³×D₄	1	1	yes	characteristic
603	C₂×D₇₃	—	2	4	no	—
604	C₂×D₇₃	—	4	2	no	—
605	C₂×D₇₃	—	4	2	no	—
606	C₂×D₇₃	—	4	1	no	—
607	C₂×D₇₃	—	4	1	no	—
608	C₂×D₇₃	—	4	2	no	—
609	C₂×D₇₃	—	4	2	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	—	4	2	no	—
623	C₄×C₇₃	—	4	1	no	—
624	C₄×C₇₃	—	4	2	no	—
625	C₄×C₇₃	—	4	1	no	—
626	C₄×C₇₃	—	4	1	no	—
627	C₄×C₇₃	#546	1	2	yes	—
628	C₄×C₇₃	C₂²×#41	1	1	yes	characteristic
629	C₄×C₇₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
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	—	8	1	no	—
639	C₂×C₇₃	C₂×#546	1	1	yes	characteristic
640	C₂×C₇₃	#3585	1	1	yes	characteristic
641	C₂×C₇₃	#3585	1	1	yes	characteristic
642	D₇₃	—	4	4	no	—
643	D₇₃	—	8	2	no	—
644	D₇₃	—	8	1	no	—
645	#3493	D₇₃	1	1	yes	characteristic, complemented
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	—	73	1	no	—
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	—	73	1	no	—
675	C₂²×M₁₆	—	73	1	no	—
676	#556	—	2	1	no	—
677	#556	C₂×D₇₃	1	2	yes	complemented
678	#555	—	2	1	no	—
679	#555	C₂×D₇₃	1	2	yes	complemented
680	#553	—	2	1	no	—
681	#553	C₂×D₇₃	1	2	yes	complemented
682	#552	—	2	1	no	—
683	#552	C₂×D₇₃	1	2	yes	complemented
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	C₂×D₇₃	1	1	yes	characteristic, complemented
693	#538	—	2	2	no	—
694	#537	C₂×D₇₃	1	1	yes	characteristic, complemented
695	#535	—	73	1	no	—
696	#535	—	73	1	no	—
697	#534	—	146	2	no	—
698	#529	—	2	2	no	—
699	#525	—	73	1	no	—
700	#525	C₂×D₇₃	1	1	yes	characteristic
701	#525	C₂×D₇₃	1	1	yes	characteristic, complemented
702	C₂×#120	—	146	2	no	—
703	#520	C₂×D₇₃	1	1	yes	characteristic, complemented
704	#520	C₂×D₇₃	1	1	yes	characteristic, complemented
705	#518	—	73	1	no	—
706	C₂×#117	C₂×D₇₃	1	1	yes	characteristic, complemented
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	2	no	—
731	#468	—	73	1	no	—
732	#468	—	73	1	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	—	73	2	no	—
752	#436	—	73	2	no	—
753	#435	—	73	2	no	—
754	#435	—	73	2	no	—
755	#428	—	73	1	no	—
756	#428	—	73	1	no	—
757	#427	—	73	1	no	—
758	#424	—	73	1	no	—
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	—	73	1	no	—
778	#407	—	73	1	no	—
779	#405	—	73	1	no	—
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	—	146	1	no	—
786	C₂×#41	C₂²×D₇₃	1	1	yes	characteristic
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	2	no	—
809	C₂×SD₁₆	—	73	1	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	—	292	2	no	—
815	C₂×M₁₆	—	292	2	no	—
816	C₂×M₁₆	—	73	1	no	—
817	C₂×M₁₆	—	73	1	no	—
818	C₂×M₁₆	—	73	1	no	—
819	C₂×M₁₆	—	73	1	no	—
820	C₂×M₁₆	—	73	2	no	—
821	C₂×M₁₆	—	73	1	no	—
822	C₂×M₁₆	—	73	1	no	—
823	C₂²×C₈	—	73	2	no	—
824	C₂²×C₈	—	73	1	no	—
825	C₂²×C₈	—	73	1	no	—
826	C₄⋊Q₈	—	2	1	no	—
827	C₄⋊Q₈	C₂²×D₇₃	1	2	yes	complemented
828	#127	—	73	2	no	—
829	#127	—	146	1	no	—
830	#126	—	2	2	no	—
831	#126	—	2	2	no	—
832	#126	—	2	2	no	—
833	#126	—	2	2	no	—
834	#125	—	2	2	no	—
835	#125	—	2	1	no	—
836	#125	C₂²×D₇₃	1	2	yes	complemented
837	#124	—	2	2	no	—
838	#124	—	2	2	no	—
839	#124	—	2	2	no	—
840	#124	—	73	2	no	—
841	#124	—	146	1	no	—
842	#123	—	2	2	no	—
843	#123	—	2	1	no	—
844	#123	—	2	2	no	—
845	#123	—	146	1	no	—
846	#123	—	146	2	no	—
847	#123	—	146	2	no	—
848	#123	C₂²⋊D₇₃	1	2	yes	—
849	C₂²⋊Q₈	—	2	1	no	—
850	C₂²⋊Q₈	—	2	2	no	—
851	C₂²⋊Q₈	—	73	1	no	—
852	C₂²⋊Q₈	—	73	1	no	—
853	C₂²⋊Q₈	C₂²⋊D₇₃	1	1	yes	characteristic
854	C₂²⋊Q₈	C₂²⋊D₇₃	1	1	yes	characteristic
855	C₂²⋊Q₈	C₂²×D₇₃	1	1	yes	characteristic
856	C₂²⋊Q₈	C₂²×D₇₃	1	1	yes	characteristic
857	C₂²⋊Q₈	C₂²×D₇₃	1	2	yes	complemented
858	#121	—	2	2	no	—
859	#121	—	2	1	no	—
860	#121	—	2	2	no	—
861	#121	—	2	2	no	—
862	#121	—	73	1	no	—
863	#121	—	73	1	no	—
864	#121	—	73	2	no	—
865	#121	—	73	2	no	—
866	#121	—	146	2	no	—
867	#121	—	146	2	no	—
868	#121	—	146	1	no	—
869	#121	—	146	1	no	—
870	#121	—	146	2	no	—
871	#121	—	146	2	no	—
872	#121	C₂²⋊D₇₃	1	1	yes	characteristic
873	#121	C₂²⋊D₇₃	1	1	yes	characteristic
874	#121	C₂²×D₇₃	1	1	yes	characteristic
875	#121	C₂²×D₇₃	1	1	yes	characteristic
876	#121	C₂²×D₇₃	1	2	yes	complemented
877	#120	—	2	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	C₂²⋊D₇₃	1	2	yes	—
888	C₄×Q₈	—	2	1	no	—
889	C₄×Q₈	—	2	2	no	—
890	C₄×Q₈	C₂²×D₇₃	1	2	yes	complemented
891	C₄×D₄	—	2	2	no	—
892	C₄×D₄	—	2	1	no	—
893	C₄×D₄	—	2	1	no	—
894	C₄×D₄	—	2	1	no	—
895	C₄×D₄	—	2	2	no	—
896	C₄×D₄	—	2	2	no	—
897	C₄×D₄	—	73	2	no	—
898	C₄×D₄	—	73	2	no	—
899	C₄×D₄	—	146	1	no	—
900	C₄×D₄	—	146	1	no	—
901	C₄×D₄	—	146	1	no	—
902	C₄×D₄	—	146	1	no	—
903	C₄×D₄	C₂²×D₇₃	1	2	yes	—
904	C₄×D₄	C₂²×D₇₃	1	2	yes	—
905	C₄×D₄	C₂²×D₇₃	1	2	yes	complemented
906	#117	—	2	1	no	—
907	#117	—	2	1	no	—
908	#117	—	2	1	no	—
909	#117	—	2	2	no	—
910	#117	—	2	2	no	—
911	#117	—	73	1	no	—
912	#117	C₂²×D₇₃	1	2	yes	—
913	#117	C₂²×D₇₃	1	2	yes	—
914	#117	C₂²×D₇₃	1	1	yes	characteristic
915	#117	C₂²×D₇₃	1	1	yes	characteristic
916	#117	C₂²×D₇₃	1	2	yes	complemented
917	C₂×C₄⋊C₄	—	2	1	no	—
918	C₂×C₄⋊C₄	C₂²×D₇₃	1	1	yes	characteristic
919	C₂×C₄⋊C₄	C₂²×D₇₃	1	1	yes	characteristic
920	C₂×C₄⋊C₄	C₂²×D₇₃	1	2	yes	complemented
921	C₂×C₂²⋊C₄	—	2	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	—	2	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	—	73	2	no	—
935	C₄⋊C₈	—	73	2	no	—
936	#103	—	73	1	no	—
937	#103	—	73	1	no	—
938	#103	—	73	1	no	—
939	#103	—	73	2	no	—
940	#103	—	73	1	no	—
941	#103	—	73	2	no	—
942	#102	—	73	1	no	—
943	#102	—	73	1	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	2	no	—
955	#102	—	73	2	no	—
956	#102	—	73	1	no	—
957	#102	—	73	2	no	—
958	#102	—	73	1	no	—
959	#102	—	73	2	no	—
960	C₂²⋊C₈	—	73	2	no	—
961	C₂²⋊C₈	—	73	2	no	—
962	C₂²⋊C₈	—	73	2	no	—
963	C₂²⋊C₈	—	73	2	no	—
964	#97	—	73	2	no	—
965	C₄×C₈	—	73	2	no	—
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×C₂²⋊D₇₃	1	1	yes	characteristic
975	#41	—	2	2	no	—
976	#41	—	2	2	no	—
977	#41	—	2	2	no	—
978	#41	—	2	2	no	—
979	#41	—	292	2	no	—
980	#41	—	292	4	no	—
981	#41	—	146	4	no	—
982	#41	—	146	2	no	—
983	#41	—	146	2	no	—
984	C₂×Q₈	—	2	2	no	—
985	C₂×Q₈	—	73	1	no	—
986	C₂×Q₈	C₂×C₂²⋊D₇₃	1	1	yes	characteristic
987	C₂×Q₈	C₂³×D₇₃	1	1	yes	characteristic
988	C₂×D₄	—	2	1	no	—
989	C₂×D₄	—	2	1	no	—
990	C₂×D₄	—	2	1	no	—
991	C₂×D₄	—	2	2	no	—
992	C₂×D₄	—	292	4	no	—
993	C₂×D₄	—	292	4	no	—
994	C₂×D₄	—	292	4	no	—
995	C₂×D₄	—	292	2	no	—
996	C₂×D₄	—	292	2	no	—
997	C₂×D₄	—	292	2	no	—
998	C₂×D₄	—	292	8	no	—
999	C₂×D₄	—	292	4	no	—
1000	C₂×D₄	—	584	4	no	—
1001	C₂×D₄	—	584	4	no	—
1002	C₂×D₄	—	73	4	no	—
1003	C₂×D₄	—	73	2	no	—
1004	C₂×D₄	—	73	2	no	—
1005	C₂×D₄	—	73	1	no	—
1006	C₂×D₄	—	146	4	no	—
1007	C₂×D₄	—	146	4	no	—
1008	C₂×D₄	—	146	4	no	—
1009	C₂×D₄	—	146	1	no	—
1010	C₂×D₄	—	146	1	no	—
1011	C₂×D₄	—	146	1	no	—
1012	C₂×D₄	—	146	2	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	1	no	—
1019	C₂×D₄	—	146	2	no	—
1020	C₂×D₄	—	146	2	no	—
1021	C₂×D₄	—	146	1	no	—
1022	C₂×D₄	—	146	2	no	—
1023	C₂×D₄	—	146	2	no	—
1024	C₂×D₄	—	146	2	no	—
1025	C₂×D₄	C₂×C₂²⋊D₇₃	1	2	yes	—
1026	C₂×D₄	C₂×C₂²⋊D₇₃	1	1	yes	characteristic
1027	C₂×D₄	C₂×C₂²⋊D₇₃	1	2	yes	—
1028	C₂×D₄	C₂×C₂²⋊D₇₃	1	2	yes	—
1029	C₂×D₄	C₂³×D₇₃	1	1	yes	characteristic
1030	C₂²×C₄	—	2	2	no	—
1031	C₂²×C₄	—	2	2	no	—
1032	C₂²×C₄	—	2	1	no	—
1033	C₂²×C₄	—	2	1	no	—
1034	C₂²×C₄	—	2	2	no	—
1035	C₂²×C₄	—	2	1	no	—
1036	C₂²×C₄	—	2	2	no	—
1037	C₂²×C₄	—	146	2	no	—
1038	C₂²×C₄	—	146	1	no	—
1039	C₂²×C₄	—	146	2	no	—
1040	C₂²×C₄	—	146	2	no	—
1041	C₂²×C₄	C₂×C₂²⋊D₇₃	1	1	yes	characteristic
1042	C₂²×C₄	C₂×C₂²⋊D₇₃	1	1	yes	characteristic
1043	C₂²×C₄	C₂×C₂²⋊D₇₃	1	1	yes	characteristic
1044	C₂²×C₄	C₂³×D₇₃	1	2	yes	—
1045	C₂²×C₄	C₂³×D₇₃	1	1	yes	characteristic
1046	C₂²×C₄	C₂³×D₇₃	1	1	yes	characteristic
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	—	292	1	no	—
1057	M₁₆	—	292	1	no	—
1058	M₁₆	—	292	1	no	—
1059	M₁₆	—	292	1	no	—
1060	M₁₆	—	292	2	no	—
1061	M₁₆	—	146	2	no	—
1062	M₁₆	—	146	2	no	—
1063	C₂×C₈	—	292	2	no	—
1064	C₂×C₈	—	73	1	no	—
1065	C₂×C₈	—	73	2	no	—
1066	C₂×C₈	—	73	1	no	—
1067	C₂×C₈	—	73	1	no	—
1068	C₂×C₈	—	73	1	no	—
1069	C₂×C₈	—	73	2	no	—
1070	C₂×C₈	—	146	2	no	—
1071	C₂×C₈	—	146	2	no	—
1072	C₄⋊C₄	—	2	1	no	—
1073	C₄⋊C₄	—	2	2	no	—
1074	C₄⋊C₄	—	2	1	no	—
1075	C₄⋊C₄	—	2	2	no	—
1076	C₄⋊C₄	—	2	1	no	—
1077	C₄⋊C₄	—	2	2	no	—
1078	C₄⋊C₄	—	2	2	no	—
1079	C₄⋊C₄	—	2	1	no	—
1080	C₄⋊C₄	—	2	2	no	—
1081	C₄⋊C₄	—	2	2	no	—
1082	C₄⋊C₄	—	73	1	no	—
1083	C₄⋊C₄	—	73	1	no	—
1084	C₄⋊C₄	—	146	1	no	—
1085	C₄⋊C₄	—	146	1	no	—
1086	C₄⋊C₄	C₂×C₂²⋊D₇₃	1	1	yes	characteristic
1087	C₄⋊C₄	C₂×C₂²⋊D₇₃	1	1	yes	characteristic
1088	C₄⋊C₄	C₂×C₂²⋊D₇₃	1	2	yes	—
1089	C₄⋊C₄	C₂×C₂²⋊D₇₃	1	2	yes	—
1090	C₄⋊C₄	C₂³×D₇₃	1	2	yes	—
1091	C₄⋊C₄	C₂³×D₇₃	1	2	yes	—
1092	C₄⋊C₄	C₂³×D₇₃	1	1	yes	characteristic
1093	C₄⋊C₄	C₂³×D₇₃	1	1	yes	characteristic
1094	C₂²⋊C₄	—	2	2	no	—
1095	C₂²⋊C₄	—	2	2	no	—
1096	C₂²⋊C₄	—	2	2	no	—
1097	C₂²⋊C₄	—	2	1	no	—
1098	C₂²⋊C₄	—	2	2	no	—
1099	C₂²⋊C₄	—	2	1	no	—
1100	C₂²⋊C₄	—	2	1	no	—
1101	C₂²⋊C₄	—	2	1	no	—
1102	C₂²⋊C₄	—	2	2	no	—
1103	C₂²⋊C₄	—	2	2	no	—
1104	C₂²⋊C₄	—	2	1	no	—
1105	C₂²⋊C₄	—	146	1	no	—
1106	C₂²⋊C₄	—	146	1	no	—
1107	C₂²⋊C₄	—	146	1	no	—
1108	C₂²⋊C₄	—	146	2	no	—
1109	C₂²⋊C₄	—	146	2	no	—
1110	C₂²⋊C₄	—	146	2	no	—
1111	C₂²⋊C₄	—	146	2	no	—
1112	C₂²⋊C₄	—	146	2	no	—
1113	C₂²⋊C₄	—	146	2	no	—
1114	C₂²⋊C₄	—	146	1	no	—
1115	C₂²⋊C₄	—	146	1	no	—
1116	C₂²⋊C₄	C₂×C₂²⋊D₇₃	1	2	yes	—
1117	C₂²⋊C₄	C₂×C₂²⋊D₇₃	1	2	yes	—
1118	C₂²⋊C₄	C₂×C₂²⋊D₇₃	1	2	yes	—
1119	C₂²⋊C₄	C₂×C₂²⋊D₇₃	1	2	yes	—
1120	C₂²⋊C₄	C₂×C₂²⋊D₇₃	1	2	yes	—
1121	C₄²	—	2	2	no	—
1122	C₄²	—	2	2	no	—
1123	C₄²	—	2	2	no	—
1124	C₄²	—	2	2	no	—
1125	C₄²	—	2	1	no	—
1126	C₄²	—	146	1	no	—
1127	C₄²	C₂³×D₇₃	1	2	yes	—
1128	C₂³	—	2	2	no	—
1129	C₂³	—	2	1	no	—
1130	C₂³	—	4	1	no	—
1131	C₂³	—	4	1	no	—
1132	C₂³	—	292	4	no	—
1133	C₂³	—	292	4	no	—
1134	C₂³	—	292	4	no	—
1135	C₂³	—	292	4	no	—
1136	C₂³	—	292	4	no	—
1137	C₂³	—	292	2	no	—
1138	C₂³	—	584	1	no	—
1139	C₂³	—	584	1	no	—
1140	C₂³	—	584	1	no	—
1141	C₂³	—	584	1	no	—
1142	C₂³	—	584	2	no	—
1143	C₂³	—	584	2	no	—
1144	C₂³	—	584	2	no	—
1145	C₂³	—	584	2	no	—
1146	C₂³	—	584	16	no	—
1147	C₂³	—	146	2	no	—
1148	C₂³	—	146	1	no	—
1149	C₂³	—	146	2	no	—
1150	C₂³	—	146	4	no	—
1151	C₂³	C₂²×C₂²⋊D₇₃	1	1	yes	characteristic
1152	C₂³	C₂²×C₂²⋊D₇₃	1	1	yes	characteristic
1153	C₂³	C₂²×C₂²⋊D₇₃	1	2	yes	—
1154	C₂³	C₂²×C₂²⋊D₇₃	1	1	yes	characteristic
1155	Q₈	—	2	2	no	—
1156	Q₈	—	2	1	no	—
1157	Q₈	—	2	1	no	—
1158	Q₈	—	8	2	no	—
1159	Q₈	—	146	1	no	—
1160	Q₈	—	146	1	no	—
1161	D₄	—	2	4	no	—
1162	D₄	—	2	1	no	—
1163	D₄	—	2	1	no	—
1164	D₄	—	2	2	no	—
1165	D₄	—	4	2	no	—
1166	D₄	—	4	2	no	—
1167	D₄	—	4	2	no	—
1168	D₄	—	8	1	no	—
1169	D₄	—	8	2	no	—
1170	D₄	—	8	1	no	—
1171	D₄	—	292	4	no	—
1172	D₄	—	292	4	no	—
1173	D₄	—	292	4	no	—
1174	D₄	—	292	2	no	—
1175	D₄	—	292	2	no	—
1176	D₄	—	292	4	no	—
1177	D₄	—	292	2	no	—
1178	D₄	—	292	2	no	—
1179	D₄	—	584	2	no	—
1180	D₄	—	584	2	no	—
1181	D₄	—	584	2	no	—
1182	D₄	—	584	2	no	—
1183	D₄	—	73	4	no	—
1184	D₄	—	146	2	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	—	2	2	no	—
1200	C₂×C₄	—	2	1	no	—
1201	C₂×C₄	—	2	1	no	—
1202	C₂×C₄	—	2	2	no	—
1203	C₂×C₄	—	2	1	no	—
1204	C₂×C₄	—	4	2	no	—
1205	C₂×C₄	—	8	2	no	—
1206	C₂×C₄	—	8	1	no	—
1207	C₂×C₄	—	8	2	no	—
1208	C₂×C₄	—	8	1	no	—
1209	C₂×C₄	—	292	4	no	—
1210	C₂×C₄	—	292	2	no	—
1211	C₂×C₄	—	584	2	no	—
1212	C₂×C₄	—	584	2	no	—
1213	C₂×C₄	—	146	1	no	—
1214	C₂×C₄	—	146	1	no	—
1215	C₂×C₄	—	146	1	no	—
1216	C₂×C₄	C₂²×C₂²⋊D₇₃	1	1	yes	characteristic
1217	C₂×C₄	C₂²×C₂²⋊D₇₃	1	1	yes	characteristic
1218	C₂×C₄	C₂²×C₂²⋊D₇₃	1	2	yes	—
1219	C₂×C₄	C₂²×C₂²⋊D₇₃	1	2	yes	—
1220	C₂×C₄	C₂²×C₂²⋊D₇₃	1	2	yes	—
1221	C₂×C₄	C₂²×C₂²⋊D₇₃	1	1	yes	characteristic
1222	C₂×C₄	#41×D₇₃	1	2	yes	—
1223	C₂×C₄	#14556637	1	2	yes	—
1224	C₂×C₄	C₂⁴×D₇₃	1	1	yes	characteristic
1225	C₈	—	146	2	no	—
1226	C₈	—	146	1	no	—
1227	C₈	—	146	2	no	—
1228	C₈	—	146	1	no	—
1229	C₈	—	146	1	no	—
1230	C₈	—	146	1	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	—	4	1	no	—
1244	C₂²	—	4	1	no	—
1245	C₂²	—	4	1	no	—
1246	C₂²	—	292	2	no	—
1247	C₂²	—	292	2	no	—
1248	C₂²	—	292	1	no	—
1249	C₂²	—	292	2	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	#17989225	1	2	yes	—
1261	C₂²	C₂³×C₂²⋊D₇₃	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	—	4	1	no	—
1268	C₄	—	4	2	no	—
1269	C₄	—	4	1	no	—
1270	C₄	—	4	2	no	—
1271	C₄	—	4	1	no	—
1272	C₄	—	292	1	no	—
1273	C₄	—	292	1	no	—
1274	C₄	—	292	1	no	—
1275	C₄	#17989225	1	2	yes	—
1276	C₄	C₂×#41×D₇₃	1	1	yes	characteristic
1277	C₄	C₂×#14556637	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	—	8	1	no	—
1283	C₂	—	292	4	no	—
1284	C₂	—	584	2	no	—
1285	C₂	—	584	1	no	—
1286	C₂	C₂×#17989225	1	1	yes	characteristic
1287	C₂	#22624710	1	1	yes	characteristic
1288	C₂	#22624710	1	1	yes	characteristic

	subgroup	G/H
center	C₂²	C₂³×C₂²⋊D₇₃
commutator, cosocle	C₂×C₄×C₇₃	C₂⁵
Frattini	C₂×C₄	C₂⁴×D₇₃
Fitting	C₇₃×#3493	C₂
socle	C₂²×C₇₃	C₂³×D₄
hypercenter	#3493	D₇₃
hypocenter	C₇₃	#61175
LCS	G ▷ C₂×C₄×C₇₃ ▷ C₂×C₇₃ ▷ C₇₃
UCS	C₁ ◁ C₂² ◁ #525 ◁ #3493

Complements

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

N	H ≅ G/N	type
1. #22623564	C₂	semidirect
2. #22622167	C₂	semidirect
3. #22622156	C₂	semidirect
4. #22622141	C₂	semidirect
5. #22622126	C₂	semidirect
6. #22622081	C₂	semidirect
7. #22622066	C₂	semidirect
8. #22621961	C₂	semidirect
9. #22621946	C₂	semidirect
10. #22620290	C₂	semidirect
11. #22619889	C₂	semidirect
12. #22619862	C₂	semidirect
13. #22619756	C₂	semidirect
14. #22619613	C₂	semidirect
15. #22619537	C₂	semidirect
16. #22619470	C₂	semidirect
17. #22619232	C₂	semidirect
18. #22619157	C₂	semidirect
19. #22618759	C₂	semidirect
20. #22618635	C₂	semidirect
21. #22618454	C₂	semidirect
22. C₂×#17988591	C₂	semidirect
23. C₇₃×#3493	C₂	semidirect
27. C₂×#14556616	C₂²	semidirect
28. C₂×#14556611	C₂²	semidirect
29. C₂×#14556598	C₂²	semidirect
30. C₂²×#11924012	C₂²	semidirect
45. #17988953	C₂²	semidirect
46. #17988949	C₂²	semidirect
47. #17988944	C₂²	semidirect
48. #17988935	C₂²	semidirect
49. #17988928	C₂²	semidirect
50. #17988928	C₂²	semidirect
51. #17988911	C₂²	semidirect
52. #17988911	C₂²	semidirect
53. #17988911	C₂²	semidirect
54. #17988911	C₂²	semidirect
55. #17988905	C₂²	semidirect
56. #17988900	C₂²	semidirect
57. #17988884	C₂²	semidirect
58. #17988884	C₂²	semidirect
59. #17988874	C₂²	semidirect
60. #17988864	C₂²	semidirect
61. #17988843	C₂²	semidirect
62. #17988843	C₂²	semidirect
63. #17988838	C₂²	semidirect
64. #17988838	C₂²	semidirect
65. #17988838	C₂²	semidirect
66. #17988835	C₂²	semidirect
67. #17988835	C₂²	semidirect
68. #17988835	C₂²	semidirect
69. #17988831	C₂²	semidirect
70. #17988831	C₂²	semidirect
71. #17988821	C₂²	semidirect
72. #17988818	C₂²	semidirect
73. #17988809	C₂²	semidirect
74. #17988802	C₂²	semidirect
75. #17988787	C₂²	semidirect
76. #17988782	C₂²	semidirect
77. #17988747	C₂²	semidirect
78. #17988737	C₂²	semidirect
79. #17988737	C₂²	semidirect
80. #17988737	C₂²	semidirect
81. #17988730	C₂²	semidirect
82. #17988720	C₂²	semidirect
83. #17988720	C₂²	semidirect
84. #17988720	C₂²	semidirect
85. #17988697	C₂²	semidirect
86. #17988685	C₂²	semidirect
87. C₄×#11924015	C₂²	semidirect
88. C₄×#11924013	C₂²	semidirect
89. #17988665	C₂²	semidirect
90. #17988665	C₂²	semidirect
91. #17988659	C₂²	semidirect
92. #17988659	C₂²	semidirect
93. #17988627	C₂²	semidirect
94. #17988627	C₂²	semidirect
95. #17988623	C₂²	semidirect
96. #17988614	C₂²	semidirect
98. #17988591	C₂²	semidirect
99. #17988591	C₂²	semidirect
100. #17988591	C₂²	semidirect
101. #17988591	C₂²	semidirect
102. #17988591	C₂²	semidirect
103. #17988591	C₂²	semidirect
104. #17988586	C₂²	semidirect
105. #17988586	C₂²	semidirect
106. #17988586	C₂²	semidirect
107. #17988583	C₂²	semidirect
108. #17988581	C₂²	semidirect
109. #17988581	C₂²	semidirect
112. C₂×#14556511	C₂²	semidirect
113. C₂×#14556511	C₂²	semidirect
114. C₂×#14556511	C₂²	semidirect
115. #17988554	C₂²	semidirect
116. #17988551	C₂²	semidirect
117. #17988543	C₂²	semidirect
119. #556×C₇₃	C₂²	semidirect
121. #555×C₇₃	C₂²	semidirect
123. #553×C₇₃	C₂²	semidirect
125. #552×C₇₃	C₂²	semidirect
126. #544×C₇₃	C₂²	semidirect
128. #537×C₇₃	C₂²	semidirect
131. #525×C₇₃	C₂²	semidirect
132. #520×C₇₃	C₂²	semidirect
133. #520×C₇₃	C₂²	semidirect
134. C₂×#117×C₇₃	C₂²	semidirect
158. C₂×#11924018	C₂³	semidirect
159. C₂×#11924016	C₂³	semidirect
162. C₂×#11924015	C₂³	semidirect
165. C₂×#11924013	C₂³	semidirect
174. C₂×#11924012	C₂³	semidirect
177. C₂²×#10596831	C₂³	semidirect
216. #14556524	C₂³	semidirect
217. #14556524	C₂³	semidirect
218. #14556524	C₂³	semidirect
219. #14556524	C₂³	semidirect
220. #14556522	C₂³	semidirect
221. #14556522	C₂³	semidirect
222. #14556522	C₂³	semidirect
223. #14556522	C₂³	semidirect
224. C₄⋊#10596831	C₂³	semidirect
225. C₄⋊#10596831	C₂³	semidirect
226. #14556515	C₂³	semidirect
227. #14556515	C₂³	semidirect
228. #14556514	C₂³	semidirect
229. #14556514	C₂³	semidirect
230. #14556514	C₂³	semidirect
231. #14556514	C₂³	semidirect
232. #14556512	C₂³	semidirect
233. #14556512	C₂³	semidirect
246. #14556511	C₂³	semidirect
247. #14556511	C₂³	semidirect
248. #14556511	C₂³	semidirect
249. #14556511	C₂³	semidirect
252. C₂²⋊#10596831	C₂³	semidirect
253. C₂²⋊#10596831	C₂³	semidirect
254. #14556502	C₂³	semidirect
255. C₄×#10596831	C₂³	semidirect
260. C₄⋊Q₈×C₇₃	C₂³	semidirect
267. #125×C₇₃	C₂³	semidirect
281. C₂²⋊Q₈×C₇₃	C₂³	semidirect
290. #121×C₇₃	C₂³	semidirect
295. C₄×Q₈×C₇₃	C₂³	semidirect
304. C₄×D₄×C₇₃	C₂³	semidirect
314. #117×C₇₃	C₂³	semidirect
318. C₂×C₄⋊C₄×C₇₃	C₂³	semidirect
645. #3493	D₇₃	semidirect
668. C₇₃	#61175	semidirect
677. #556	C₂×D₇₃	semidirect
679. #555	C₂×D₇₃	semidirect
681. #553	C₂×D₇₃	semidirect
683. #552	C₂×D₇₃	semidirect
692. #544	C₂×D₇₃	semidirect
694. #537	C₂×D₇₃	semidirect
701. #525	C₂×D₇₃	semidirect
703. #520	C₂×D₇₃	semidirect
704. #520	C₂×D₇₃	semidirect
706. C₂×#117	C₂×D₇₃	semidirect
827. C₄⋊Q₈	C₂²×D₇₃	semidirect
836. #125	C₂²×D₇₃	semidirect
857. C₂²⋊Q₈	C₂²×D₇₃	semidirect
876. #121	C₂²×D₇₃	semidirect
890. C₄×Q₈	C₂²×D₇₃	semidirect
905. C₄×D₄	C₂²×D₇₃	semidirect
916. #117	C₂²×D₇₃	semidirect
920. C₂×C₄⋊C₄	C₂²×D₇₃	semidirect

Maximal subgroups

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

subgroup	index
#22623564	2
#22622167	2
#22622156	2
#22622141	2
#22622126	2
#22622081	2
#22622066	2
#22621961	2
#22621946	2
#22620290	2
#22619889	2
#22619862	2
#22619756	2
#22619613	2
#22619537	2
#22619470	2
#22619232	2
#22619157	2
#22618759	2
#22618635	2
#22618454	2
C₂×#17988591	2
C₇₃×#3493	2
#61175	73