Subgroups — SD₁₆×#11924028 #33967400

Order 18688.

2116 conjugacy classes of subgroups.

The subgroup lattice has 1186 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	Q₈×#11924028	C₂	1	1	yes	maximal, characteristic, complemented
2	D₄×#11924028	C₂	1	1	yes	maximal, characteristic
3	#22622910	C₂	1	1	yes	maximal, characteristic, complemented
4	SD₁₆×Dic₁₄₆	C₂	1	1	yes	maximal, characteristic, complemented
5	#22622600	C₂	1	1	yes	maximal, characteristic, complemented
6	#22622571	C₂	1	1	yes	maximal, characteristic, complemented
7	#22622290	C₂	1	1	yes	maximal, characteristic, complemented
8	#22622284	C₂	1	2	yes	maximal, complemented
9	#22621798	C₂	1	1	yes	maximal, characteristic, complemented
10	#22621792	C₂	1	2	yes	maximal, complemented
11	#22621757	C₂	1	1	yes	maximal, characteristic, complemented
12	#22621751	C₂	1	2	yes	maximal, complemented
13	SD₁₆×D₂₉₂	C₂	1	1	yes	maximal, characteristic, complemented
14	SD₁₆×C₂²⋊D₇₃	C₂	1	2	yes	maximal, complemented
15	#22620490	C₂	1	1	yes	maximal, characteristic, complemented
16	#22620487	C₂	1	2	yes	maximal, complemented
17	#22619962	C₂	1	1	yes	maximal, characteristic, complemented
18	#22619960	C₂	1	2	yes	maximal, complemented
19	#22619939	C₂	1	1	yes	maximal, characteristic, complemented
20	#22619937	C₂	1	2	yes	maximal, complemented
21	C₈×#11924028	C₂	1	1	yes	maximal, characteristic, complemented
22	C₄×SD₁₆×D₇₃	C₂	1	2	yes	maximal, complemented
23	C₂×C₄×SD₁₆×C₇₃	C₂	1	1	yes	maximal, characteristic, complemented
24	C₂²×#11924028	—	2	1	no	—
25	C₂×SD₁₆×D₇₃	C₂²	1	2	yes	—
26	Q₈×Dic₁₄₆	C₂²	1	1	yes	characteristic, complemented
27	#17989315	—	2	1	no	—
28	#17989315	C₂²	1	1	yes	characteristic, complemented
29	#17989297	—	2	1	no	—
30	#17989297	C₂²	1	1	yes	characteristic, complemented
31	#17989292	—	2	2	no	—
32	#17989292	C₂²	1	2	yes	complemented
33	#17989258	C₂²	1	1	yes	characteristic
34	Q₈×D₂₉₂	C₂²	1	1	yes	characteristic, complemented
35	D₄×Dic₁₄₆	C₂²	1	1	yes	characteristic
36	Q₈×C₂²⋊D₇₃	C₂²	1	2	yes	complemented
37	#17989246	—	2	1	no	—
38	#17989242	C₂²	1	1	yes	characteristic
39	#17989238	C₂²	1	2	yes	—
40	#17989233	—	2	1	no	—
41	#17989227	—	2	2	no	—
42	D₄×D₂₉₂	C₂²	1	1	yes	characteristic
43	D₄×C₂²⋊D₇₃	C₂²	1	2	yes	—
44	#17989144	—	2	1	no	—
45	#17989144	C₂²	1	1	yes	characteristic, complemented
46	#17989141	—	2	2	no	—
47	#17989141	C₂²	1	2	yes	complemented
48	#17989137	C₂²	1	1	yes	characteristic
49	#17989134	C₂²	1	2	yes	—
50	#17989098	—	2	1	no	—
51	#17989096	—	2	2	no	—
52	C₄×#11924028	—	2	1	no	—
53	C₄×#11924028	C₂²	1	1	yes	characteristic
54	C₄×Q₈×D₇₃	C₂²	1	2	yes	complemented
55	C₄×D₄×D₇₃	C₂²	1	2	yes	—
56	#17988985	C₂²	1	1	yes	characteristic, complemented
57	#17988984	C₂²	1	2	yes	complemented
58	#17988960	C₂²	1	1	yes	characteristic, complemented
59	#17988958	C₂²	1	2	yes	complemented
60	#17988938	C₂²	1	1	yes	characteristic, complemented
61	#17988936	C₂²	1	2	yes	complemented
62	#17988934	C₂²	1	1	yes	characteristic, complemented
63	#17988932	C₂²	1	2	yes	complemented
64	#17988919	C₂²	1	2	yes	complemented
65	#17988917	C₂²	1	2	yes	complemented
66	#17988916	C₂²	1	2	yes	complemented
67	#17988907	C₂²	1	2	yes	complemented
68	#17988905	C₂²	1	2	yes	complemented
69	#17988904	C₂²	1	2	yes	complemented
70	#17988877	C₂²	1	1	yes	characteristic
71	#17988877	C₂²	1	1	yes	characteristic, complemented
72	#17988876	C₂²	1	2	yes	complemented
73	#17988875	C₂²	1	2	yes	—
74	#17988872	C₂²	1	1	yes	characteristic, complemented
75	#17988872	C₂²	1	1	yes	characteristic, complemented
76	#17988871	C₂²	1	2	yes	complemented
77	#17988870	C₂²	1	2	yes	complemented
78	#17988819	C₂²	1	2	yes	complemented
79	#17988817	C₂²	1	2	yes	complemented
80	#17988816	C₂²	1	2	yes	complemented
81	#17988816	C₂²	1	2	yes	complemented
82	#17988815	C₂²	1	2	yes	complemented
83	#17988813	C₂²	1	2	yes	complemented
84	#17988792	C₂²	1	1	yes	characteristic
85	#17988792	C₂²	1	1	yes	characteristic, complemented
86	#17988791	C₂²	1	2	yes	complemented
87	#17988790	C₂²	1	2	yes	—
88	#17988787	C₂²	1	1	yes	characteristic, complemented
89	#17988787	C₂²	1	1	yes	characteristic, complemented
90	#17988786	C₂²	1	2	yes	complemented
91	#17988785	C₂²	1	2	yes	complemented
92	#17988739	C₂²	1	2	yes	—
93	#17988738	C₂²	1	2	yes	—
94	#17988736	C₂²	1	2	yes	—
95	#17988727	C₂²	1	2	yes	complemented
96	#17988726	C₂²	1	2	yes	complemented
97	#17988724	C₂²	1	2	yes	complemented
98	C₈×Dic₁₄₆	C₂²	1	1	yes	characteristic, complemented
99	C₈×Dic₁₄₆	C₂²	1	1	yes	characteristic, complemented
100	#17988678	C₂²	1	2	yes	—
101	C₄×#11924017	C₂²	1	2	yes	complemented
102	C₄×#11924017	C₂²	1	2	yes	complemented
103	SD₁₆×Dic₇₃	C₂²	1	2	yes	—
104	C₄×#11924015	C₂²	1	2	yes	complemented
105	C₄×#11924015	C₂²	1	2	yes	complemented
106	#17988674	C₂²	1	2	yes	complemented
107	C₄×#11924016	C₂²	1	2	yes	—
108	C₄×#11924016	C₂²	1	2	yes	complemented
109	#17988672	C₂²	1	2	yes	complemented
110	C₈×D₂₉₂	C₂²	1	1	yes	characteristic, complemented
111	C₈×D₂₉₂	C₂²	1	1	yes	characteristic, complemented
112	C₈×C₂²⋊D₇₃	C₂²	1	2	yes	complemented
113	C₈×C₂²⋊D₇₃	C₂²	1	2	yes	complemented
114	#17988640	C₂²	1	1	yes	characteristic, complemented
115	#17988638	C₂²	1	2	yes	complemented
116	#106×D₇₃	C₂²	1	2	yes	complemented
117	#103×D₇₃	C₂²	1	2	yes	complemented
118	#102×D₇₃	C₂²	1	2	yes	—
119	C₄×C₈×D₇₃	C₂²	1	2	yes	complemented
120	C₂²×SD₁₆×C₇₃	C₂²	1	1	yes	characteristic
121	C₂×C₄×Q₈×C₇₃	C₂²	1	1	yes	characteristic, complemented
122	C₂×C₄×D₄×C₇₃	C₂²	1	1	yes	characteristic
123	C₄×SD₁₆×C₇₃	C₂²	1	1	yes	characteristic
124	C₄×SD₁₆×C₇₃	C₂²	1	1	yes	characteristic
125	C₄×SD₁₆×C₇₃	C₂²	1	1	yes	characteristic
126	C₄×SD₁₆×C₇₃	C₂²	1	1	yes	characteristic
127	C₄×SD₁₆×C₇₃	C₂²	1	1	yes	characteristic, complemented
128	C₄×SD₁₆×C₇₃	C₂²	1	1	yes	characteristic, complemented
129	C₄×SD₁₆×C₇₃	C₂²	1	1	yes	characteristic, complemented
130	C₄×SD₁₆×C₇₃	C₂²	1	1	yes	characteristic, complemented
131	C₂×#106×C₇₃	C₂²	1	1	yes	characteristic, complemented
132	C₂×#103×C₇₃	C₂²	1	1	yes	characteristic, complemented
133	C₂×#102×C₇₃	C₂²	1	1	yes	characteristic
134	C₂×C₄×C₈×C₇₃	C₂²	1	1	yes	characteristic, complemented
135	C₂×#11924028	—	2	1	no	—
136	C₂×#11924028	—	2	1	no	—
137	C₂×#11924028	—	2	2	no	—
138	C₂×#11924028	—	2	2	no	—
139	C₂×#11924028	—	2	1	no	—
140	C₂×#11924028	—	4	8	no	—
141	C₂×#11924028	D₄	1	1	yes	characteristic
142	C₂²×Dic₁₄₆	—	2	1	no	—
143	C₂×Q₈×D₇₃	C₂³	1	2	yes	—
144	C₂²×D₂₉₂	—	2	1	no	—
145	C₂²×C₂²⋊D₇₃	—	2	2	no	—
146	C₂×D₄×D₇₃	C₂³	1	2	yes	—
147	C₂²×C₄×D₇₃	—	2	2	no	—
148	C₂×#11924017	C₂³	1	2	yes	—
149	C₂×#11924017	C₂³	1	2	yes	—
150	C₂×#11924016	C₂³	1	2	yes	—
151	C₂×#11924016	C₂³	1	2	yes	—
152	C₂×#11924015	C₂³	1	2	yes	—
153	C₂×#11924015	C₂³	1	2	yes	—
154	SD₁₆×D₇₃	—	2	8	no	—
155	C₂×C₈×D₇₃	C₂³	1	2	yes	—
156	C₂×C₈×D₇₃	C₂³	1	2	yes	—
157	#14556591	—	2	1	no	—
158	#14556591	—	2	1	no	—
159	#14556591	C₂³	1	1	yes	characteristic
160	#14556591	C₂³	1	1	yes	characteristic
161	#14556591	C₂³	1	1	yes	characteristic
162	#14556590	—	2	2	no	—
163	#14556590	C₂³	1	2	yes	—
164	#14556590	C₂³	1	2	yes	—
165	#14556589	—	2	2	no	—
166	#14556589	C₂³	1	2	yes	—
167	#14556588	C₂³	1	1	yes	characteristic
168	#14556587	C₂³	1	2	yes	—
169	#14556583	—	2	1	no	—
170	#14556583	—	2	1	no	—
171	#14556583	—	2	1	no	—
172	#14556581	—	2	2	no	—
173	#14556581	—	2	2	no	—
174	#14556581	—	2	2	no	—
175	#14556579	—	2	1	no	—
176	#14556577	—	2	2	no	—
177	#14556576	—	2	2	no	—
178	#14556574	—	2	2	no	—
179	#14556573	—	2	2	no	—
180	#14556571	—	2	2	no	—
181	#14556571	C₂³	1	2	yes	—
182	#14556570	—	2	1	no	—
183	#14556570	—	2	1	no	—
184	#14556570	—	2	2	no	—
185	#14556570	—	2	2	no	—
186	#14556570	—	2	1	no	—
187	#14556570	C₂³	1	2	yes	—
188	#14556569	—	2	2	no	—
189	#14556569	—	2	2	no	—
190	#14556569	—	2	2	no	—
191	#14556569	—	2	2	no	—
192	#14556568	—	2	2	no	—
193	#14556567	—	2	2	no	—
194	#14556567	C₂³	1	2	yes	—
195	#14556566	C₂³	1	2	yes	—
196	#14556565	—	2	1	no	—
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	#14556562	C₂³	1	2	yes	—
204	#14556561	—	2	2	no	—
205	#14556560	—	2	2	no	—
206	#14556559	—	2	2	no	—
207	Q₈×Dic₇₃	C₂³	1	2	yes	—
208	C₄×Dic₁₄₆	—	2	1	no	—
209	C₄×Dic₁₄₆	—	2	1	no	—
210	C₄×Dic₁₄₆	—	2	2	no	—
211	C₄×Dic₁₄₆	—	2	2	no	—
212	C₄×Dic₁₄₆	—	2	1	no	—
213	C₄×Dic₁₄₆	D₄	1	1	yes	characteristic
214	C₄×Dic₁₄₆	C₂³	1	2	yes	—
215	C₄×Dic₁₄₆	C₂³	1	1	yes	characteristic
216	#14556556	—	2	2	no	—
217	#14556556	C₂³	1	2	yes	—
218	C₄×D₂₉₂	—	2	1	no	—
219	C₄×D₂₉₂	—	2	1	no	—
220	C₄×D₂₉₂	—	2	1	no	—
221	C₄×D₂₉₂	D₄	1	1	yes	characteristic
222	C₄×D₂₉₂	C₂³	1	2	yes	—
223	C₄×D₂₉₂	C₂³	1	1	yes	characteristic
224	D₄×Dic₇₃	C₂³	1	2	yes	—
225	#14556553	C₂³	1	2	yes	—
226	C₄×C₂²⋊D₇₃	—	2	2	no	—
227	C₄×C₂²⋊D₇₃	—	2	2	no	—
228	C₄×C₂²⋊D₇₃	—	2	2	no	—
229	C₄×C₂²⋊D₇₃	—	2	2	no	—
230	C₄×C₂²⋊D₇₃	D₄	1	2	yes	—
231	C₄×C₂²⋊D₇₃	C₂³	1	2	yes	—
232	#14556551	—	2	2	no	—
233	#14556550	—	2	1	no	—
234	#14556550	D₄	1	1	yes	characteristic
235	#14556548	—	2	2	no	—
236	#14556548	D₄	1	2	yes	—
237	C₄⋊C₄×D₇₃	—	2	2	no	—
238	C₄⋊C₄×D₇₃	C₂³	1	2	yes	—
239	C₄⋊C₄×D₇₃	C₂³	1	2	yes	—
240	C₂²⋊C₄×D₇₃	—	2	2	no	—
241	C₄²×D₇₃	—	2	2	no	—
242	C₄²×D₇₃	C₂³	1	2	yes	—
243	#14556523	C₂³	1	2	yes	—
244	#14556523	C₂³	1	2	yes	—
245	#14556522	C₂³	1	2	yes	—
246	#14556522	C₂³	1	2	yes	—
247	#14556522	C₂³	1	2	yes	—
248	#14556522	C₂³	1	2	yes	—
249	C₄⋊#10596831	C₂³	1	1	yes	characteristic
250	C₄⋊#10596831	C₂³	1	1	yes	characteristic
251	#14556520	C₂³	1	2	yes	—
252	#14556520	C₂³	1	2	yes	—
253	#14556516	C₂³	1	2	yes	—
254	#14556516	C₂³	1	2	yes	—
255	#14556515	C₂³	1	2	yes	—
256	#14556515	C₂³	1	2	yes	—
257	#14556514	C₂³	1	2	yes	—
258	#14556514	C₂³	1	2	yes	—
259	#14556513	C₂³	1	2	yes	—
260	#14556513	C₂³	1	2	yes	—
261	#14556512	C₂³	1	2	yes	—
262	#14556512	C₂³	1	2	yes	—
263	#14556511	C₂³	1	2	yes	—
264	#14556511	C₂³	1	2	yes	—
265	C₂²⋊#10596831	C₂³	1	2	yes	—
266	#14556503	C₂³	1	2	yes	—
267	#14556503	C₂³	1	2	yes	—
268	C₄×#10596831	C₂³	1	2	yes	—
269	C₈×Dic₇₃	C₂³	1	2	yes	—
270	C₈×Dic₇₃	C₂³	1	2	yes	—
271	C₂²×Q₈×C₇₃	C₂³	1	1	yes	characteristic
272	C₂²×D₄×C₇₃	C₂³	1	1	yes	characteristic
273	C₂³×C₄×C₇₃	—	2	1	no	—
274	C₂×SD₁₆×C₇₃	—	2	4	no	—
275	C₂×SD₁₆×C₇₃	C₂³	1	1	yes	characteristic
276	C₂×SD₁₆×C₇₃	C₂³	1	1	yes	characteristic
277	C₂×SD₁₆×C₇₃	C₂³	1	1	yes	characteristic
278	C₂×SD₁₆×C₇₃	C₂³	1	1	yes	characteristic
279	C₂²×C₈×C₇₃	C₂³	1	1	yes	characteristic
280	C₂²×C₈×C₇₃	C₂³	1	1	yes	characteristic
281	C₄×Q₈×C₇₃	—	2	1	no	—
282	C₄×Q₈×C₇₃	—	2	1	no	—
283	C₄×Q₈×C₇₃	C₂³	1	1	yes	characteristic
284	C₄×Q₈×C₇₃	C₂³	1	1	yes	characteristic
285	C₄×Q₈×C₇₃	C₂³	1	1	yes	characteristic
286	C₄×Q₈×C₇₃	C₂³	1	1	yes	characteristic
287	C₄×D₄×C₇₃	—	2	1	no	—
288	C₄×D₄×C₇₃	—	2	1	no	—
289	C₄×D₄×C₇₃	C₂³	1	1	yes	characteristic
290	C₄×D₄×C₇₃	C₂³	1	1	yes	characteristic
291	C₄×D₄×C₇₃	C₂³	1	1	yes	characteristic
292	C₄×D₄×C₇₃	C₂³	1	1	yes	characteristic
293	C₂×C₄⋊C₄×C₇₃	—	2	1	no	—
294	C₂×C₄⋊C₄×C₇₃	C₂³	1	1	yes	characteristic
295	C₂×C₄⋊C₄×C₇₃	C₂³	1	1	yes	characteristic
296	C₂×C₂²⋊C₄×C₇₃	—	2	1	no	—
297	C₂×C₄²×C₇₃	—	2	1	no	—
298	C₂×C₄²×C₇₃	C₂³	1	1	yes	characteristic
299	#106×C₇₃	C₂³	1	1	yes	characteristic
300	#106×C₇₃	C₂³	1	1	yes	characteristic
301	#106×C₇₃	C₂³	1	1	yes	characteristic
302	#106×C₇₃	C₂³	1	1	yes	characteristic
303	#103×C₇₃	C₂³	1	1	yes	characteristic
304	#103×C₇₃	C₂³	1	1	yes	characteristic
305	#103×C₇₃	C₂³	1	1	yes	characteristic
306	#103×C₇₃	C₂³	1	1	yes	characteristic
307	#102×C₇₃	C₂³	1	1	yes	characteristic
308	#102×C₇₃	C₂³	1	1	yes	characteristic
309	#102×C₇₃	C₂³	1	1	yes	characteristic
310	#102×C₇₃	C₂³	1	1	yes	characteristic
311	C₄×C₈×C₇₃	C₂³	1	1	yes	characteristic
312	C₄×C₈×C₇₃	C₂³	1	1	yes	characteristic
313	C₄×C₈×C₇₃	C₂³	1	1	yes	characteristic
314	C₄×C₈×C₇₃	C₂³	1	1	yes	characteristic
315	C₂³×D₇₃	—	2	2	no	—
316	#11924028	—	4	4	no	—
317	#11924028	—	4	8	no	—
318	#11924028	—	4	4	no	—
319	#11924028	—	4	8	no	—
320	#11924028	—	4	4	no	—
321	#11924028	SD₁₆	1	8	yes	direct product factor
322	C₂×Dic₁₄₆	—	2	1	no	—
323	C₂×Dic₁₄₆	—	2	2	no	—
324	C₂×Dic₁₄₆	—	2	2	no	—
325	C₂×Dic₁₄₆	—	2	1	no	—
326	C₂×Dic₁₄₆	—	2	2	no	—
327	C₂×Dic₁₄₆	—	4	4	no	—
328	C₂×Dic₁₄₆	C₂×D₄	1	1	yes	characteristic
329	C₂×Dic₁₄₆	C₂⁴	1	2	yes	—
330	Q₈×D₇₃	—	2	4	no	—
331	Q₈×D₇₃	—	4	2	no	—
332	C₂×D₂₉₂	—	2	2	no	—
333	C₂×D₂₉₂	—	2	1	no	—
334	C₂×D₂₉₂	—	2	1	no	—
335	C₂×D₂₉₂	—	4	4	no	—
336	C₂×D₂₉₂	C₂×D₄	1	1	yes	characteristic
337	C₂×D₂₉₂	C₂⁴	1	2	yes	—
338	C₂×C₂²⋊D₇₃	—	2	2	no	—
339	C₂×C₂²⋊D₇₃	—	2	2	no	—
340	C₂×C₂²⋊D₇₃	—	2	2	no	—
341	C₂×C₂²⋊D₇₃	—	2	2	no	—
342	C₂×C₂²⋊D₇₃	—	2	2	no	—
343	C₂×C₂²⋊D₇₃	—	4	8	no	—
344	C₂×C₂²⋊D₇₃	C₂×D₄	1	2	yes	—
345	D₄×D₇₃	—	2	4	no	—
346	D₄×D₇₃	—	4	2	no	—
347	C₂²×Dic₇₃	—	2	2	no	—
348	C₂×C₄×D₇₃	—	2	2	no	—
349	C₂×C₄×D₇₃	—	2	2	no	—
350	C₂×C₄×D₇₃	—	2	2	no	—
351	C₂×C₄×D₇₃	—	2	2	no	—
352	C₂×C₄×D₇₃	—	2	2	no	—
353	C₂×C₄×D₇₃	—	4	8	no	—
354	C₂×C₄×D₇₃	C₂×D₄	1	2	yes	—
355	C₂×C₄×D₇₃	C₂×D₄	1	2	yes	—
356	C₂×C₄×D₇₃	C₂⁴	1	2	yes	—
357	#11924017	—	2	4	no	—
358	#11924017	—	4	2	no	—
359	#11924016	—	2	4	no	—
360	#11924016	—	4	2	no	—
361	#11924015	—	2	4	no	—
362	#11924015	—	4	2	no	—
363	C₂×#10596831	C₂⁴	1	2	yes	—
364	C₂×#10596831	C₂⁴	1	2	yes	—
365	C₈×D₇₃	—	2	4	no	—
366	C₈×D₇₃	—	4	2	no	—
367	C₄⋊Dic₇₃	—	2	1	no	—
368	C₄⋊Dic₇₃	—	2	1	no	—
369	C₄⋊Dic₇₃	—	2	1	no	—
370	C₄⋊Dic₇₃	—	2	1	no	—
371	C₄⋊Dic₇₃	—	2	2	no	—
372	C₄⋊Dic₇₃	—	2	2	no	—
373	C₄⋊Dic₇₃	C₂×D₄	1	1	yes	characteristic
374	C₄⋊Dic₇₃	C₂×D₄	1	1	yes	characteristic
375	C₄⋊Dic₇₃	C₂⁴	1	2	yes	—
376	C₄⋊Dic₇₃	C₂⁴	1	2	yes	—
377	#11924007	—	2	2	no	—
378	#11924007	—	2	2	no	—
379	#11924007	—	2	2	no	—
380	#11924007	—	2	2	no	—
381	#11924007	—	2	2	no	—
382	#11924007	—	2	2	no	—
383	#11924007	—	2	2	no	—
384	#11924007	—	2	2	no	—
385	#11924007	—	2	2	no	—
386	#11924007	—	2	2	no	—
387	#11924007	C₂×D₄	1	2	yes	—
388	#11924007	C₂×D₄	1	2	yes	—
389	C₂²⋊Dic₇₃	—	2	2	no	—
390	C₂²⋊Dic₇₃	—	2	2	no	—
391	C₂²⋊Dic₇₃	—	2	2	no	—
392	C₂²⋊Dic₇₃	C₂×D₄	1	2	yes	—
393	#11924005	—	2	2	no	—
394	#11924005	—	2	2	no	—
395	#11924005	—	2	2	no	—
396	#11924005	—	2	2	no	—
397	#11924005	—	2	2	no	—
398	#11924005	—	2	2	no	—
399	#11924005	C₂×D₄	1	2	yes	—
400	#11924005	C₂×D₄	1	2	yes	—
401	C₄×Dic₇₃	—	2	2	no	—
402	C₄×Dic₇₃	—	2	2	no	—
403	C₄×Dic₇₃	—	2	2	no	—
404	C₄×Dic₇₃	C₂×D₄	1	2	yes	—
405	C₄×Dic₇₃	C₂×D₄	1	2	yes	—
406	C₄×Dic₇₃	C₂⁴	1	2	yes	—
407	C₂⁴×C₇₃	—	2	1	no	—
408	C₂×Q₈×C₇₃	—	2	1	no	—
409	C₂×Q₈×C₇₃	—	2	2	no	—
410	C₂×Q₈×C₇₃	—	4	1	no	—
411	C₂×Q₈×C₇₃	C₂⁴	1	1	yes	characteristic
412	C₂×Q₈×C₇₃	C₂⁴	1	1	yes	characteristic
413	C₂×D₄×C₇₃	—	2	2	no	—
414	C₂×D₄×C₇₃	—	2	1	no	—
415	C₂×D₄×C₇₃	—	4	1	no	—
416	C₂×D₄×C₇₃	C₂⁴	1	1	yes	characteristic
417	C₂×D₄×C₇₃	C₂⁴	1	1	yes	characteristic
418	C₂²×C₄×C₇₃	—	2	1	no	—
419	C₂²×C₄×C₇₃	—	2	1	no	—
420	C₂²×C₄×C₇₃	—	2	1	no	—
421	C₂²×C₄×C₇₃	—	2	1	no	—
422	C₂²×C₄×C₇₃	—	2	1	no	—
423	C₂²×C₄×C₇₃	—	2	1	no	—
424	C₂²×C₄×C₇₃	—	2	1	no	—
425	C₂²×C₄×C₇₃	—	4	4	no	—
426	C₂²×C₄×C₇₃	C₂×D₄	1	1	yes	characteristic
427	C₂²×C₄×C₇₃	C₂×D₄	1	1	yes	characteristic
428	C₂²×C₄×C₇₃	C₂⁴	1	1	yes	characteristic
429	SD₁₆×C₇₃	—	2	2	no	—
430	SD₁₆×C₇₃	—	2	2	no	—
431	SD₁₆×C₇₃	—	2	2	no	—
432	SD₁₆×C₇₃	#41	1	4	yes	complemented
433	C₂×C₈×C₇₃	—	2	2	no	—
434	C₂×C₈×C₇₃	—	4	1	no	—
435	C₂×C₈×C₇₃	C₂⁴	1	1	yes	characteristic
436	C₂×C₈×C₇₃	C₂⁴	1	1	yes	characteristic
437	C₂×C₈×C₇₃	C₂⁴	1	1	yes	characteristic
438	C₂×C₈×C₇₃	C₂⁴	1	1	yes	characteristic
439	C₄⋊C₄×C₇₃	—	2	1	no	—
440	C₄⋊C₄×C₇₃	—	2	1	no	—
441	C₄⋊C₄×C₇₃	—	2	1	no	—
442	C₄⋊C₄×C₇₃	—	2	1	no	—
443	C₄⋊C₄×C₇₃	—	2	1	no	—
444	C₄⋊C₄×C₇₃	—	2	1	no	—
445	C₄⋊C₄×C₇₃	C₂⁴	1	1	yes	characteristic
446	C₄⋊C₄×C₇₃	C₂⁴	1	1	yes	characteristic
447	C₄⋊C₄×C₇₃	C₂⁴	1	1	yes	characteristic
448	C₄⋊C₄×C₇₃	C₂⁴	1	1	yes	characteristic
449	C₂²⋊C₄×C₇₃	—	2	1	no	—
450	C₂²⋊C₄×C₇₃	—	2	1	no	—
451	C₂²⋊C₄×C₇₃	—	2	1	no	—
452	C₂²⋊C₄×C₇₃	—	2	1	no	—
453	C₄²×C₇₃	—	2	1	no	—
454	C₄²×C₇₃	—	2	1	no	—
455	C₄²×C₇₃	—	2	1	no	—
456	C₄²×C₇₃	—	2	1	no	—
457	C₄²×C₇₃	C₂×D₄	1	1	yes	characteristic
458	C₄²×C₇₃	C₂×D₄	1	1	yes	characteristic
459	C₄²×C₇₃	C₂⁴	1	1	yes	characteristic
460	C₄²×C₇₃	C₂⁴	1	1	yes	characteristic
461	C₂³×C₇₃	—	2	1	no	—
462	C₂³×C₇₃	—	2	1	no	—
463	C₂³×C₇₃	—	4	2	no	—
464	C₂³×C₇₃	—	4	2	no	—
465	C₂³×C₇₃	—	8	1	no	—
466	C₂³×C₇₃	C₂²×D₄	1	1	yes	characteristic
467	C₂²×D₇₃	—	2	2	no	—
468	C₂²×D₇₃	—	4	4	no	—
469	C₂²×D₇₃	—	4	4	no	—
470	C₂²×D₇₃	—	8	2	no	—
471	C₂²×D₇₃	C₂²×D₄	1	2	yes	—
472	Q₈×C₇₃	—	2	1	no	—
473	Q₈×C₇₃	—	2	1	no	—
474	Q₈×C₇₃	—	2	1	no	—
475	Q₈×C₇₃	—	4	2	no	—
476	Q₈×C₇₃	C₂×#41	1	2	yes	complemented
477	D₄×C₇₃	—	2	1	no	—
478	D₄×C₇₃	—	2	1	no	—
479	D₄×C₇₃	—	2	1	no	—
480	D₄×C₇₃	—	4	2	no	—
481	D₄×C₇₃	C₂×#41	1	2	yes	—
482	C₂×C₄×C₇₃	—	2	1	no	—
483	C₂×C₄×C₇₃	—	2	1	no	—
484	C₂×C₄×C₇₃	—	2	1	no	—
485	C₂×C₄×C₇₃	—	2	1	no	—
486	C₂×C₄×C₇₃	—	2	1	no	—
487	C₂×C₄×C₇₃	—	2	1	no	—
488	C₂×C₄×C₇₃	—	2	1	no	—
489	C₂×C₄×C₇₃	—	2	1	no	—
490	C₂×C₄×C₇₃	—	4	1	no	—
491	C₂×C₄×C₇₃	—	4	2	no	—
492	C₂×C₄×C₇₃	—	4	2	no	—
493	C₂×C₄×C₇₃	—	4	2	no	—
494	C₂×C₄×C₇₃	—	4	2	no	—
495	C₂×C₄×C₇₃	—	4	2	no	—
496	C₂×C₄×C₇₃	—	4	2	no	—
497	C₂×C₄×C₇₃	—	8	1	no	—
498	C₂×C₄×C₇₃	C₂×SD₁₆	1	4	yes	complemented
499	C₂×C₄×C₇₃	C₂²×D₄	1	1	yes	characteristic
500	C₂×C₄×C₇₃	C₂²×D₄	1	1	yes	characteristic
501	C₂×C₄×C₇₃	C₂²×D₄	1	1	yes	characteristic
502	C₂×C₄×C₇₃	C₂²×D₄	1	1	yes	characteristic
503	C₂×C₄×C₇₃	C₂²×D₄	1	1	yes	characteristic
504	C₂×C₄×C₇₃	C₂⁵	1	1	yes	characteristic
505	C₂²⋊D₇₃	—	4	4	no	—
506	C₂²⋊D₇₃	—	4	4	no	—
507	C₂²⋊D₇₃	—	4	4	no	—
508	C₂²⋊D₇₃	—	4	4	no	—
509	C₂²⋊D₇₃	—	8	2	no	—
510	C₂²⋊D₇₃	C₂×SD₁₆	1	8	yes	complemented
511	C₂×Dic₇₃	—	2	2	no	—
512	C₂×Dic₇₃	—	2	2	no	—
513	C₂×Dic₇₃	—	2	2	no	—
514	C₂×Dic₇₃	—	4	4	no	—
515	C₂×Dic₇₃	C₂²×D₄	1	2	yes	—
516	C₂×Dic₇₃	C₂²×D₄	1	2	yes	—
517	C₂×Dic₇₃	C₂²×D₄	1	2	yes	—
518	D₂₉₂	—	2	2	no	—
519	D₂₉₂	—	2	2	no	—
520	D₂₉₂	—	4	4	no	—
521	D₂₉₂	—	4	2	no	—
522	D₂₉₂	—	8	1	no	—
523	D₂₉₂	C₂×SD₁₆	1	4	yes	complemented
524	C₄×D₇₃	—	2	2	no	—
525	C₄×D₇₃	—	2	2	no	—
526	C₄×D₇₃	—	4	2	no	—
527	C₄×D₇₃	—	4	4	no	—
528	C₄×D₇₃	—	4	4	no	—
529	C₄×D₇₃	—	4	4	no	—
530	C₄×D₇₃	—	4	4	no	—
531	C₄×D₇₃	—	8	2	no	—
532	C₄×D₇₃	C₂×SD₁₆	1	8	yes	complemented
533	Dic₁₄₆	—	2	2	no	—
534	Dic₁₄₆	—	2	2	no	—
535	Dic₁₄₆	—	4	4	no	—
536	Dic₁₄₆	—	4	2	no	—
537	Dic₁₄₆	—	4	4	no	—
538	Dic₁₄₆	—	8	2	no	—
539	Dic₁₄₆	—	8	1	no	—
540	Dic₁₄₆	C₂×SD₁₆	1	4	yes	complemented
541	C₈×C₇₃	—	2	1	no	—
542	C₈×C₇₃	—	2	1	no	—
543	C₈×C₇₃	—	2	1	no	—
544	C₈×C₇₃	C₂×#41	1	2	yes	complemented
545	#10596831	—	2	2	no	—
546	#10596831	—	2	2	no	—
547	C₂²×C₇₃	—	2	1	no	—
548	C₂²×C₇₃	—	2	1	no	—
549	C₂²×C₇₃	—	2	2	no	—
550	C₂²×C₇₃	—	4	1	no	—
551	C₂²×C₇₃	—	4	1	no	—
552	C₂²×C₇₃	—	4	1	no	—
553	C₂²×C₇₃	—	4	1	no	—
554	C₂²×C₇₃	—	4	1	no	—
555	C₂²×C₇₃	—	8	4	no	—
556	C₂²×C₇₃	C₂²×SD₁₆	1	2	yes	—
557	C₂²×C₇₃	C₂³×D₄	1	1	yes	characteristic
558	C₂×D₇₃	—	2	2	no	—
559	C₂×D₇₃	—	2	2	no	—
560	C₂×D₇₃	—	4	2	no	—
561	C₂×D₇₃	—	4	2	no	—
562	C₂×D₇₃	—	4	2	no	—
563	C₂×D₇₃	—	8	8	no	—
564	C₂×D₇₃	C₂²×SD₁₆	1	4	yes	—
565	C₄×C₇₃	—	2	1	no	—
566	C₄×C₇₃	—	2	1	no	—
567	C₄×C₇₃	—	2	2	no	—
568	C₄×C₇₃	—	2	1	no	—
569	C₄×C₇₃	—	4	1	no	—
570	C₄×C₇₃	—	4	1	no	—
571	C₄×C₇₃	—	4	1	no	—
572	C₄×C₇₃	—	4	1	no	—
573	C₄×C₇₃	—	4	1	no	—
574	C₄×C₇₃	C₂²×SD₁₆	1	2	yes	—
575	C₄×C₇₃	C₂²×SD₁₆	1	2	yes	—
576	C₄×C₇₃	C₂²×#41	1	1	yes	characteristic
577	C₄×C₇₃	#585	1	1	yes	characteristic
578	Dic₇₃	—	2	2	no	—
579	Dic₇₃	—	2	2	no	—
580	Dic₇₃	—	4	2	no	—
581	Dic₇₃	—	4	2	no	—
582	Dic₇₃	—	4	2	no	—
583	Dic₇₃	C₂²×SD₁₆	1	4	yes	—
584	SD₁₆×#41	—	73	1	no	maximal, Sylow
585	C₂×C₇₃	—	2	2	no	—
586	C₂×C₇₃	—	4	2	no	—
587	C₂×C₇₃	—	8	1	no	—
588	C₂×C₇₃	D₄×#41	1	1	yes	characteristic
589	C₂×C₇₃	C₂³×SD₁₆	1	1	yes	characteristic
590	C₂×C₇₃	#3584	1	1	yes	characteristic
591	D₇₃	—	2	4	no	—
592	D₇₃	—	8	2	no	—
593	Q₈×#41	—	73	1	no	—
594	D₄×#41	—	73	1	no	—
595	#3392	—	73	1	no	—
596	Q₈×SD₁₆	—	73	1	no	—
597	#3362	—	73	1	no	—
598	#3359	—	73	1	no	—
599	#3335	—	73	1	no	—
600	#3335	—	73	2	no	—
601	#3298	—	73	1	no	—
602	#3298	—	73	2	no	—
603	#3295	—	73	1	no	—
604	#3295	—	73	2	no	—
605	D₄×SD₁₆	—	73	1	no	—
606	D₄×SD₁₆	—	73	2	no	—
607	#3167	—	73	2	no	—
608	#3167	—	73	1	no	—
609	#3103	—	73	2	no	—
610	#3103	—	73	1	no	—
611	#3101	—	73	2	no	—
612	#3101	—	73	1	no	—
613	C₈×#41	—	73	1	no	—
614	C₂×C₄×SD₁₆	—	73	2	no	—
615	C₂×C₄×SD₁₆	D₇₃	1	1	yes	characteristic, complemented
616	C₇₃	SD₁₆×#41	1	1	yes	characteristic, complemented, Sylow
617	C₂²×#41	—	146	1	no	—
618	C₂²×SD₁₆	—	73	2	no	—
619	C₂²×SD₁₆	C₂×D₇₃	1	1	yes	characteristic
620	Q₈²	—	73	1	no	—
621	#557	—	73	1	no	—
622	#557	—	146	1	no	—
623	#554	—	73	1	no	—
624	#554	—	73	2	no	—
625	#554	—	146	2	no	—
626	#554	—	146	1	no	—
627	#550	—	73	1	no	—
628	D₄×Q₈	—	73	1	no	—
629	D₄×Q₈	—	73	2	no	—
630	D₄×Q₈	—	73	1	no	—
631	#548	—	146	1	no	—
632	#547	—	73	1	no	—
633	#547	—	73	2	no	—
634	#546	—	146	2	no	—
635	#546	—	146	1	no	—
636	D₄²	—	73	2	no	—
637	D₄²	—	73	1	no	—
638	#533	—	73	2	no	—
639	#533	—	73	1	no	—
640	#533	—	146	1	no	—
641	#533	—	146	2	no	—
642	#532	—	73	2	no	—
643	#532	—	73	1	no	—
644	#525	—	146	2	no	—
645	#525	—	146	1	no	—
646	C₄×#41	—	73	1	no	—
647	C₄×#41	—	146	1	no	—
648	C₂×C₄×Q₈	—	73	2	no	—
649	C₂×C₄×Q₈	C₂×D₇₃	1	1	yes	characteristic, complemented
650	C₂×C₄×D₄	—	73	2	no	—
651	C₂×C₄×D₄	C₂×D₇₃	1	1	yes	characteristic
652	#498	—	73	2	no	—
653	#498	—	73	1	no	—
654	#492	—	73	2	no	—
655	#492	—	73	1	no	—
656	#487	—	73	2	no	—
657	#487	—	73	1	no	—
658	#486	—	73	2	no	—
659	#486	—	73	1	no	—
660	#483	—	73	2	no	—
661	#483	—	73	2	no	—
662	#483	—	73	2	no	—
663	#481	—	73	2	no	—
664	#481	—	73	2	no	—
665	#481	—	73	2	no	—
666	#476	—	73	1	no	—
667	#476	—	73	1	no	—
668	#476	—	73	2	no	—
669	#476	—	73	2	no	—
670	#475	—	73	1	no	—
671	#475	—	73	1	no	—
672	#475	—	73	2	no	—
673	#475	—	73	2	no	—
674	#465	—	73	2	no	—
675	#465	—	73	2	no	—
676	#465	—	73	2	no	—
677	#465	—	73	2	no	—
678	#465	—	73	2	no	—
679	#465	—	73	2	no	—
680	#461	—	73	2	no	—
681	#461	—	73	1	no	—
682	#461	—	73	1	no	—
683	#461	—	73	2	no	—
684	#460	—	73	2	no	—
685	#460	—	73	1	no	—
686	#460	—	73	1	no	—
687	#460	—	73	2	no	—
688	#450	—	73	2	no	—
689	#450	—	73	2	no	—
690	#450	—	73	2	no	—
691	#448	—	73	2	no	—
692	#448	—	73	2	no	—
693	#448	—	73	2	no	—
694	C₈×Q₈	—	73	1	no	—
695	C₈×Q₈	—	73	1	no	—
696	C₄×SD₁₆	—	73	2	no	—
697	C₄×SD₁₆	—	73	2	no	—
698	C₄×SD₁₆	—	73	2	no	—
699	C₄×SD₁₆	—	73	2	no	—
700	C₄×SD₁₆	—	73	2	no	—
701	C₄×SD₁₆	—	73	2	no	—
702	C₄×SD₁₆	—	73	2	no	—
703	C₄×SD₁₆	—	73	2	no	—
704	C₄×SD₁₆	—	73	2	no	—
705	C₄×SD₁₆	—	73	2	no	—
706	C₄×SD₁₆	C₂×D₇₃	1	1	yes	characteristic
707	C₄×SD₁₆	C₂×D₇₃	1	1	yes	characteristic
708	C₄×SD₁₆	C₂×D₇₃	1	1	yes	characteristic
709	C₄×SD₁₆	C₂×D₇₃	1	1	yes	characteristic
710	C₄×SD₁₆	C₂×D₇₃	1	1	yes	characteristic, complemented
711	C₄×SD₁₆	C₂×D₇₃	1	1	yes	characteristic, complemented
712	C₄×SD₁₆	C₂×D₇₃	1	1	yes	characteristic, complemented
713	C₄×SD₁₆	C₂×D₇₃	1	1	yes	characteristic, complemented
714	C₈×D₄	—	73	2	no	—
715	C₈×D₄	—	73	2	no	—
716	C₈×D₄	—	73	1	no	—
717	C₈×D₄	—	73	1	no	—
718	#431	—	73	1	no	—
719	#431	—	73	2	no	—
720	C₂×#106	—	73	2	no	—
721	C₂×#106	C₂×D₇₃	1	1	yes	characteristic, complemented
722	C₂×#103	—	73	2	no	—
723	C₂×#103	C₂×D₇₃	1	1	yes	characteristic, complemented
724	C₂×#102	—	73	2	no	—
725	C₂×#102	C₂×D₇₃	1	1	yes	characteristic
726	C₂×C₄×C₈	—	73	2	no	—
727	C₂×C₄×C₈	C₂×D₇₃	1	1	yes	characteristic, complemented
728	C₂×#41	—	292	8	no	—
729	C₂×#41	—	73	1	no	—
730	C₂×#41	—	146	2	no	—
731	C₂×#41	—	146	2	no	—
732	C₂×#41	—	146	1	no	—
733	C₂×#41	—	146	1	no	—
734	C₂×#41	—	146	1	no	—
735	C₂²×Q₈	—	73	2	no	—
736	C₂²×Q₈	—	146	1	no	—
737	C₂²×Q₈	C₂²×D₇₃	1	1	yes	characteristic
738	C₂²×D₄	—	73	2	no	—
739	C₂²×D₄	—	146	1	no	—
740	C₂²×D₄	—	146	2	no	—
741	C₂²×D₄	C₂²×D₇₃	1	1	yes	characteristic
742	C₂³×C₄	—	2	1	no	—
743	C₂³×C₄	—	146	2	no	—
744	C₂×SD₁₆	—	2	4	no	—
745	C₂×SD₁₆	—	73	2	no	—
746	C₂×SD₁₆	—	73	2	no	—
747	C₂×SD₁₆	—	73	2	no	—
748	C₂×SD₁₆	—	73	2	no	—
749	C₂×SD₁₆	—	73	2	no	—
750	C₂×SD₁₆	—	73	2	no	—
751	C₂×SD₁₆	—	146	8	no	—
752	C₂×SD₁₆	C₂²×D₇₃	1	1	yes	characteristic
753	C₂×SD₁₆	C₂²×D₇₃	1	1	yes	characteristic
754	C₂×SD₁₆	C₂²×D₇₃	1	1	yes	characteristic
755	C₂×SD₁₆	C₂²×D₇₃	1	1	yes	characteristic
756	C₂²×C₈	—	73	2	no	—
757	C₂²×C₈	—	73	2	no	—
758	C₂²×C₈	C₂²×D₇₃	1	1	yes	characteristic
759	C₂²×C₈	C₂²×D₇₃	1	1	yes	characteristic
760	C₄⋊Q₈	—	73	2	no	—
761	C₄⋊Q₈	—	73	2	no	—
762	C₄⋊Q₈	—	73	2	no	—
763	C₄⋊Q₈	—	73	1	no	—
764	C₄⋊Q₈	—	73	1	no	—
765	C₄⋊Q₈	—	73	1	no	—
766	C₄⋊Q₈	—	146	1	no	—
767	C₄⋊Q₈	—	146	1	no	—
768	C₄⋊Q₈	—	146	2	no	—
769	C₄⋊Q₈	—	146	2	no	—
770	#127	—	73	2	no	—
771	#127	—	73	1	no	—
772	#125	—	146	1	no	—
773	#125	—	146	1	no	—
774	#125	—	146	2	no	—
775	#125	—	146	2	no	—
776	#125	—	146	2	no	—
777	#125	—	146	1	no	—
778	#124	—	146	2	no	—
779	#124	—	146	1	no	—
780	#123	—	146	2	no	—
781	#123	—	146	2	no	—
782	#123	—	146	2	no	—
783	C₂²⋊Q₈	—	73	2	no	—
784	C₂²⋊Q₈	—	73	2	no	—
785	C₂²⋊Q₈	—	73	2	no	—
786	C₂²⋊Q₈	—	146	2	no	—
787	C₂²⋊Q₈	—	146	2	no	—
788	C₂²⋊Q₈	—	146	2	no	—
789	C₂²⋊Q₈	—	146	2	no	—
790	C₂²⋊Q₈	—	146	2	no	—
791	C₂²⋊Q₈	—	146	2	no	—
792	C₂²⋊Q₈	—	146	2	no	—
793	C₂²⋊Q₈	—	146	2	no	—
794	C₂²⋊Q₈	—	146	2	no	—
795	C₂²⋊Q₈	—	146	1	no	—
796	C₂²⋊Q₈	—	146	1	no	—
797	C₂²⋊Q₈	—	146	1	no	—
798	#121	—	73	2	no	—
799	#121	—	73	2	no	—
800	#121	—	73	2	no	—
801	#121	—	146	2	no	—
802	#121	—	146	2	no	—
803	#121	—	146	1	no	—
804	#121	—	146	1	no	—
805	#121	—	146	2	no	—
806	#121	—	146	1	no	—
807	#120	—	146	2	no	—
808	#120	—	146	2	no	—
809	#120	—	146	2	no	—
810	C₄×Q₈	—	2	1	no	—
811	C₄×Q₈	—	2	1	no	—
812	C₄×Q₈	—	73	1	no	—
813	C₄×Q₈	—	73	1	no	—
814	C₄×Q₈	—	73	2	no	—
815	C₄×Q₈	—	73	2	no	—
816	C₄×Q₈	—	73	2	no	—
817	C₄×Q₈	—	146	2	no	—
818	C₄×Q₈	—	146	2	no	—
819	C₄×Q₈	—	146	1	no	—
820	C₄×Q₈	—	146	1	no	—
821	C₄×Q₈	—	146	2	no	—
822	C₄×Q₈	—	146	1	no	—
823	C₄×Q₈	C₂²×D₇₃	1	1	yes	characteristic
824	C₄×Q₈	C₂²×D₇₃	1	1	yes	characteristic
825	C₄×Q₈	C₂²×D₇₃	1	1	yes	characteristic
826	C₄×Q₈	C₂²×D₇₃	1	1	yes	characteristic
827	C₄×D₄	—	2	1	no	—
828	C₄×D₄	—	2	1	no	—
829	C₄×D₄	—	73	2	no	—
830	C₄×D₄	—	73	2	no	—
831	C₄×D₄	—	73	2	no	—
832	C₄×D₄	—	73	2	no	—
833	C₄×D₄	—	73	1	no	—
834	C₄×D₄	—	73	1	no	—
835	C₄×D₄	—	73	2	no	—
836	C₄×D₄	—	146	1	no	—
837	C₄×D₄	—	146	1	no	—
838	C₄×D₄	—	146	2	no	—
839	C₄×D₄	—	146	2	no	—
840	C₄×D₄	—	146	2	no	—
841	C₄×D₄	—	146	2	no	—
842	C₄×D₄	—	146	2	no	—
843	C₄×D₄	—	146	1	no	—
844	C₄×D₄	C₂²×D₇₃	1	1	yes	characteristic
845	C₄×D₄	C₂²×D₇₃	1	1	yes	characteristic
846	C₄×D₄	C₂²×D₇₃	1	1	yes	characteristic
847	C₄×D₄	C₂²×D₇₃	1	1	yes	characteristic
848	#117	—	73	1	no	—
849	#117	—	73	2	no	—
850	#117	—	146	2	no	—
851	#117	—	146	1	no	—
852	C₂×C₄⋊C₄	—	2	1	no	—
853	C₂×C₄⋊C₄	—	73	2	no	—
854	C₂×C₄⋊C₄	—	73	2	no	—
855	C₂×C₄⋊C₄	—	146	2	no	—
856	C₂×C₄⋊C₄	C₂²×D₇₃	1	1	yes	characteristic
857	C₂×C₄⋊C₄	C₂²×D₇₃	1	1	yes	characteristic
858	C₂×C₂²⋊C₄	—	2	1	no	—
859	C₂×C₂²⋊C₄	—	146	2	no	—
860	C₂×C₄²	—	2	1	no	—
861	C₂×C₄²	—	73	2	no	—
862	C₂×C₄²	—	146	2	no	—
863	C₂×C₄²	C₂²×D₇₃	1	1	yes	characteristic
864	#106	—	73	2	no	—
865	#106	—	73	2	no	—
866	#106	—	73	2	no	—
867	#106	—	73	2	no	—
868	#106	—	73	2	no	—
869	#106	—	73	2	no	—
870	#106	C₂²×D₇₃	1	1	yes	characteristic
871	#106	C₂²×D₇₃	1	1	yes	characteristic
872	#106	C₂²×D₇₃	1	1	yes	characteristic
873	#106	C₂²×D₇₃	1	1	yes	characteristic
874	C₄⋊C₈	—	73	2	no	—
875	C₄⋊C₈	—	73	2	no	—
876	C₄⋊C₈	—	73	1	no	—
877	C₄⋊C₈	—	73	1	no	—
878	#103	—	73	2	no	—
879	#103	—	73	2	no	—
880	#103	—	73	2	no	—
881	#103	—	73	2	no	—
882	#103	—	73	2	no	—
883	#103	—	73	2	no	—
884	#103	C₂²×D₇₃	1	1	yes	characteristic
885	#103	C₂²×D₇₃	1	1	yes	characteristic
886	#103	C₂²×D₇₃	1	1	yes	characteristic
887	#103	C₂²×D₇₃	1	1	yes	characteristic
888	#102	—	73	2	no	—
889	#102	—	73	2	no	—
890	#102	—	73	2	no	—
891	#102	—	73	2	no	—
892	#102	—	73	2	no	—
893	#102	—	73	2	no	—
894	#102	C₂²×D₇₃	1	1	yes	characteristic
895	#102	C₂²×D₇₃	1	1	yes	characteristic
896	#102	C₂²×D₇₃	1	1	yes	characteristic
897	#102	C₂²×D₇₃	1	1	yes	characteristic
898	C₂²⋊C₈	—	73	2	no	—
899	C₂²⋊C₈	—	73	2	no	—
900	C₂²⋊C₈	—	73	2	no	—
901	C₄×C₈	—	73	2	no	—
902	C₄×C₈	—	73	2	no	—
903	C₄×C₈	—	73	2	no	—
904	C₄×C₈	C₂²×D₇₃	1	1	yes	characteristic
905	C₄×C₈	C₂²×D₇₃	1	1	yes	characteristic
906	C₄×C₈	C₂²×D₇₃	1	1	yes	characteristic
907	C₄×C₈	C₂²×D₇₃	1	1	yes	characteristic
908	C₂⁴	—	2	1	no	—
909	C₂⁴	—	146	2	no	—
910	#41	—	292	4	no	—
911	#41	—	292	8	no	—
912	#41	—	292	4	no	—
913	#41	—	292	8	no	—
914	#41	—	292	4	no	—
915	#41	—	73	8	no	—
916	C₂×Q₈	—	2	1	no	—
917	C₂×Q₈	—	2	2	no	—
918	C₂×Q₈	—	4	1	no	—
919	C₂×Q₈	—	292	4	no	—
920	C₂×Q₈	—	292	2	no	—
921	C₂×Q₈	—	73	1	no	—
922	C₂×Q₈	—	73	2	no	—
923	C₂×Q₈	—	146	2	no	—
924	C₂×Q₈	—	146	2	no	—
925	C₂×Q₈	—	146	2	no	—
926	C₂×Q₈	—	146	4	no	—
927	C₂×Q₈	—	146	1	no	—
928	C₂×Q₈	—	146	1	no	—
929	C₂×Q₈	C₂³×D₇₃	1	1	yes	characteristic
930	C₂×Q₈	C₂³×D₇₃	1	1	yes	characteristic
931	C₂×D₄	—	2	2	no	—
932	C₂×D₄	—	2	1	no	—
933	C₂×D₄	—	4	1	no	—
934	C₂×D₄	—	292	4	no	—
935	C₂×D₄	—	292	8	no	—
936	C₂×D₄	—	292	2	no	—
937	C₂×D₄	—	73	2	no	—
938	C₂×D₄	—	73	1	no	—
939	C₂×D₄	—	73	2	no	—
940	C₂×D₄	—	146	2	no	—
941	C₂×D₄	—	146	2	no	—
942	C₂×D₄	—	146	2	no	—
943	C₂×D₄	—	146	2	no	—
944	C₂×D₄	—	146	2	no	—
945	C₂×D₄	—	146	2	no	—
946	C₂×D₄	—	146	4	no	—
947	C₂×D₄	—	146	1	no	—
948	C₂×D₄	—	146	1	no	—
949	C₂×D₄	C₂³×D₇₃	1	1	yes	characteristic
950	C₂×D₄	C₂³×D₇₃	1	1	yes	characteristic
951	C₂²×C₄	—	2	1	no	—
952	C₂²×C₄	—	2	1	no	—
953	C₂²×C₄	—	2	1	no	—
954	C₂²×C₄	—	2	1	no	—
955	C₂²×C₄	—	2	1	no	—
956	C₂²×C₄	—	2	1	no	—
957	C₂²×C₄	—	2	1	no	—
958	C₂²×C₄	—	4	4	no	—
959	C₂²×C₄	—	292	8	no	—
960	C₂²×C₄	—	73	2	no	—
961	C₂²×C₄	—	73	2	no	—
962	C₂²×C₄	—	73	2	no	—
963	C₂²×C₄	—	146	2	no	—
964	C₂²×C₄	—	146	2	no	—
965	C₂²×C₄	—	146	2	no	—
966	C₂²×C₄	—	146	2	no	—
967	C₂²×C₄	—	146	2	no	—
968	C₂²×C₄	—	146	2	no	—
969	C₂²×C₄	D₄×D₇₃	1	1	yes	characteristic
970	C₂²×C₄	D₄×D₇₃	1	1	yes	characteristic
971	C₂²×C₄	C₂³×D₇₃	1	1	yes	characteristic
972	SD₁₆	—	2	2	no	—
973	SD₁₆	—	2	2	no	—
974	SD₁₆	—	2	2	no	—
975	SD₁₆	—	292	2	no	—
976	SD₁₆	—	292	2	no	—
977	SD₁₆	—	292	2	no	—
978	SD₁₆	—	146	4	no	—
979	SD₁₆	—	146	4	no	—
980	SD₁₆	—	146	4	no	—
981	SD₁₆	#11924028	1	4	yes	direct product factor
982	C₂×C₈	—	2	2	no	—
983	C₂×C₈	—	4	1	no	—
984	C₂×C₈	—	292	2	no	—
985	C₂×C₈	—	73	2	no	—
986	C₂×C₈	—	73	2	no	—
987	C₂×C₈	—	146	4	no	—
988	C₂×C₈	C₂³×D₇₃	1	1	yes	characteristic
989	C₂×C₈	C₂³×D₇₃	1	1	yes	characteristic
990	C₂×C₈	C₂³×D₇₃	1	1	yes	characteristic
991	C₂×C₈	C₂³×D₇₃	1	1	yes	characteristic
992	C₄⋊C₄	—	2	1	no	—
993	C₄⋊C₄	—	2	1	no	—
994	C₄⋊C₄	—	2	1	no	—
995	C₄⋊C₄	—	2	1	no	—
996	C₄⋊C₄	—	2	1	no	—
997	C₄⋊C₄	—	2	1	no	—
998	C₄⋊C₄	—	73	2	no	—
999	C₄⋊C₄	—	73	2	no	—
1000	C₄⋊C₄	—	73	1	no	—
1001	C₄⋊C₄	—	73	1	no	—
1002	C₄⋊C₄	—	73	2	no	—
1003	C₄⋊C₄	—	73	2	no	—
1004	C₄⋊C₄	—	146	2	no	—
1005	C₄⋊C₄	—	146	2	no	—
1006	C₄⋊C₄	—	146	2	no	—
1007	C₄⋊C₄	—	146	2	no	—
1008	C₄⋊C₄	—	146	2	no	—
1009	C₄⋊C₄	—	146	2	no	—
1010	C₄⋊C₄	—	146	2	no	—
1011	C₄⋊C₄	—	146	2	no	—
1012	C₄⋊C₄	—	146	2	no	—
1013	C₄⋊C₄	—	146	2	no	—
1014	C₄⋊C₄	—	146	2	no	—
1015	C₄⋊C₄	—	146	2	no	—
1016	C₄⋊C₄	—	146	1	no	—
1017	C₄⋊C₄	—	146	1	no	—
1018	C₄⋊C₄	—	146	1	no	—
1019	C₄⋊C₄	—	146	1	no	—
1020	C₄⋊C₄	C₂³×D₇₃	1	1	yes	characteristic
1021	C₄⋊C₄	C₂³×D₇₃	1	1	yes	characteristic
1022	C₄⋊C₄	C₂³×D₇₃	1	1	yes	characteristic
1023	C₄⋊C₄	C₂³×D₇₃	1	1	yes	characteristic
1024	C₂²⋊C₄	—	2	1	no	—
1025	C₂²⋊C₄	—	2	1	no	—
1026	C₂²⋊C₄	—	2	1	no	—
1027	C₂²⋊C₄	—	2	1	no	—
1028	C₂²⋊C₄	—	73	2	no	—
1029	C₂²⋊C₄	—	73	2	no	—
1030	C₂²⋊C₄	—	73	2	no	—
1031	C₂²⋊C₄	—	146	2	no	—
1032	C₂²⋊C₄	—	146	2	no	—
1033	C₂²⋊C₄	—	146	2	no	—
1034	C₂²⋊C₄	—	146	2	no	—
1035	C₂²⋊C₄	—	146	2	no	—
1036	C₂²⋊C₄	—	146	2	no	—
1037	C₂²⋊C₄	—	146	2	no	—
1038	C₂²⋊C₄	—	146	2	no	—
1039	C₂²⋊C₄	—	146	2	no	—
1040	C₄²	—	2	1	no	—
1041	C₄²	—	2	1	no	—
1042	C₄²	—	2	1	no	—
1043	C₄²	—	2	1	no	—
1044	C₄²	—	73	2	no	—
1045	C₄²	—	73	2	no	—
1046	C₄²	—	73	2	no	—
1047	C₄²	—	146	2	no	—
1048	C₄²	—	146	2	no	—
1049	C₄²	—	146	2	no	—
1050	C₄²	D₄×D₇₃	1	1	yes	characteristic
1051	C₄²	D₄×D₇₃	1	1	yes	characteristic
1052	C₄²	C₂³×D₇₃	1	1	yes	characteristic
1053	C₄²	C₂³×D₇₃	1	1	yes	characteristic
1054	C₂³	—	2	1	no	—
1055	C₂³	—	2	1	no	—
1056	C₂³	—	4	2	no	—
1057	C₂³	—	4	2	no	—
1058	C₂³	—	8	1	no	—
1059	C₂³	—	292	4	no	—
1060	C₂³	—	292	4	no	—
1061	C₂³	—	584	2	no	—
1062	C₂³	—	73	2	no	—
1063	C₂³	—	146	2	no	—
1064	C₂³	C₂×D₄×D₇₃	1	1	yes	characteristic
1065	Q₈	—	2	1	no	—
1066	Q₈	—	2	1	no	—
1067	Q₈	—	2	1	no	—
1068	Q₈	—	4	2	no	—
1069	Q₈	—	292	4	no	—
1070	Q₈	—	292	4	no	—
1071	Q₈	—	292	2	no	—
1072	Q₈	—	584	1	no	—
1073	Q₈	—	584	2	no	—
1074	Q₈	—	73	4	no	—
1075	Q₈	—	146	2	no	—
1076	Q₈	—	146	2	no	—
1077	Q₈	C₂×#11924028	1	2	yes	complemented
1078	D₄	—	2	1	no	—
1079	D₄	—	2	1	no	—
1080	D₄	—	2	1	no	—
1081	D₄	—	4	2	no	—
1082	D₄	—	292	4	no	—
1083	D₄	—	292	4	no	—
1084	D₄	—	292	4	no	—
1085	D₄	—	292	4	no	—
1086	D₄	—	292	4	no	—
1087	D₄	—	292	2	no	—
1088	D₄	—	584	1	no	—
1089	D₄	—	584	2	no	—
1090	D₄	—	73	8	no	—
1091	D₄	—	73	4	no	—
1092	D₄	—	146	2	no	—
1093	D₄	—	146	2	no	—
1094	D₄	C₂×#11924028	1	2	yes	—
1095	C₂×C₄	—	2	1	no	—
1096	C₂×C₄	—	2	1	no	—
1097	C₂×C₄	—	2	1	no	—
1098	C₂×C₄	—	2	1	no	—
1099	C₂×C₄	—	2	1	no	—
1100	C₂×C₄	—	2	1	no	—
1101	C₂×C₄	—	2	1	no	—
1102	C₂×C₄	—	2	1	no	—
1103	C₂×C₄	—	4	1	no	—
1104	C₂×C₄	—	4	2	no	—
1105	C₂×C₄	—	4	2	no	—
1106	C₂×C₄	—	4	2	no	—
1107	C₂×C₄	—	4	2	no	—
1108	C₂×C₄	—	4	2	no	—
1109	C₂×C₄	—	4	2	no	—
1110	C₂×C₄	—	8	1	no	—
1111	C₂×C₄	—	292	4	no	—
1112	C₂×C₄	—	292	2	no	—
1113	C₂×C₄	—	292	4	no	—
1114	C₂×C₄	—	292	4	no	—
1115	C₂×C₄	—	292	4	no	—
1116	C₂×C₄	—	292	4	no	—
1117	C₂×C₄	—	584	2	no	—
1118	C₂×C₄	—	73	2	no	—
1119	C₂×C₄	—	73	8	no	—
1120	C₂×C₄	—	73	2	no	—
1121	C₂×C₄	—	73	2	no	—
1122	C₂×C₄	—	146	2	no	—
1123	C₂×C₄	—	146	2	no	—
1124	C₂×C₄	—	146	2	no	—
1125	C₂×C₄	—	146	2	no	—
1126	C₂×C₄	—	146	2	no	—
1127	C₂×C₄	SD₁₆×D₇₃	1	4	yes	complemented
1128	C₂×C₄	C₂×D₄×D₇₃	1	1	yes	characteristic
1129	C₂×C₄	C₂×D₄×D₇₃	1	1	yes	characteristic
1130	C₂×C₄	C₂×D₄×D₇₃	1	1	yes	characteristic
1131	C₂×C₄	C₂×D₄×D₇₃	1	1	yes	characteristic
1132	C₂×C₄	C₂×D₄×D₇₃	1	1	yes	characteristic
1133	C₂×C₄	C₂⁴×D₇₃	1	1	yes	characteristic
1134	C₈	—	2	1	no	—
1135	C₈	—	2	1	no	—
1136	C₈	—	2	1	no	—
1137	C₈	—	146	2	no	—
1138	C₈	—	146	2	no	—
1139	C₈	C₂×#11924028	1	2	yes	complemented
1140	C₂²	—	2	1	no	—
1141	C₂²	—	2	1	no	—
1142	C₂²	—	2	2	no	—
1143	C₂²	—	4	1	no	—
1144	C₂²	—	4	1	no	—
1145	C₂²	—	4	1	no	—
1146	C₂²	—	4	1	no	—
1147	C₂²	—	4	1	no	—
1148	C₂²	—	8	4	no	—
1149	C₂²	—	292	2	no	—
1150	C₂²	—	292	2	no	—
1151	C₂²	—	292	2	no	—
1152	C₂²	—	584	8	no	—
1153	C₂²	—	73	4	no	—
1154	C₂²	—	146	2	no	—
1155	C₂²	—	146	2	no	—
1156	C₂²	C₂×SD₁₆×D₇₃	1	2	yes	—
1157	C₂²	C₂²×D₄×D₇₃	1	1	yes	characteristic
1158	C₄	—	2	1	no	—
1159	C₄	—	2	2	no	—
1160	C₄	—	2	1	no	—
1161	C₄	—	2	1	no	—
1162	C₄	—	4	1	no	—
1163	C₄	—	4	1	no	—
1164	C₄	—	4	1	no	—
1165	C₄	—	4	1	no	—
1166	C₄	—	4	1	no	—
1167	C₄	—	292	2	no	—
1168	C₄	—	292	2	no	—
1169	C₄	—	292	2	no	—
1170	C₄	—	73	4	no	—
1171	C₄	—	146	2	no	—
1172	C₄	—	146	2	no	—
1173	C₄	C₂×SD₁₆×D₇₃	1	2	yes	—
1174	C₄	C₂×SD₁₆×D₇₃	1	2	yes	—
1175	C₄	C₂²×#11924028	1	1	yes	characteristic
1176	C₄	#17989423	1	1	yes	characteristic
1177	C₂	—	2	2	no	—
1178	C₂	—	4	2	no	—
1179	C₂	—	8	1	no	—
1180	C₂	—	584	2	no	—
1181	C₂	—	146	4	no	—
1182	C₂	D₄×#11924028	1	1	yes	characteristic
1183	C₂	C₂²×SD₁₆×D₇₃	1	1	yes	characteristic
1184	C₂	#22624700	1	1	yes	characteristic

	subgroup	G/H
center	C₂×C₄	C₂×D₄×D₇₃
commutator, cosocle	C₂×C₄×C₇₃	C₂⁵
Frattini	C₂×C₄	C₂⁴×D₇₃
Fitting	C₂×C₄×SD₁₆×C₇₃	C₂
socle	C₂²×C₇₃	C₂³×D₄
prime radical	D₄×#11924028	C₂
hypercenter	C₂×C₄×SD₁₆	D₇₃
hypocenter	C₇₃	SD₁₆×#41
LCS	G ▷ C₂×C₄×C₇₃ ▷ C₂×C₇₃ ▷ C₇₃
UCS	C₁ ◁ C₂×C₄ ◁ C₂×C₄² ◁ C₂×C₄×SD₁₆

Complements

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

N	H ≅ G/N	type
1. Q₈×#11924028	C₂	semidirect
3. #22622910	C₂	semidirect
4. SD₁₆×Dic₁₄₆	C₂	semidirect
5. #22622600	C₂	semidirect
6. #22622571	C₂	semidirect
7. #22622290	C₂	semidirect
8. #22622284	C₂	semidirect
9. #22621798	C₂	semidirect
10. #22621792	C₂	semidirect
11. #22621757	C₂	semidirect
12. #22621751	C₂	semidirect
13. SD₁₆×D₂₉₂	C₂	semidirect
14. SD₁₆×C₂²⋊D₇₃	C₂	semidirect
15. #22620490	C₂	semidirect
16. #22620487	C₂	semidirect
17. #22619962	C₂	semidirect
18. #22619960	C₂	semidirect
19. #22619939	C₂	semidirect
20. #22619937	C₂	semidirect
21. C₈×#11924028	C₂	semidirect
22. C₄×SD₁₆×D₇₃	C₂	semidirect
23. C₂×C₄×SD₁₆×C₇₃	C₂	semidirect
26. Q₈×Dic₁₄₆	C₂²	semidirect
28. #17989315	C₂²	semidirect
30. #17989297	C₂²	semidirect
32. #17989292	C₂²	semidirect
34. Q₈×D₂₉₂	C₂²	semidirect
36. Q₈×C₂²⋊D₇₃	C₂²	semidirect
45. #17989144	C₂²	semidirect
47. #17989141	C₂²	semidirect
54. C₄×Q₈×D₇₃	C₂²	semidirect
56. #17988985	C₂²	semidirect
57. #17988984	C₂²	semidirect
58. #17988960	C₂²	semidirect
59. #17988958	C₂²	semidirect
60. #17988938	C₂²	semidirect
61. #17988936	C₂²	semidirect
62. #17988934	C₂²	semidirect
63. #17988932	C₂²	semidirect
64. #17988919	C₂²	semidirect
65. #17988917	C₂²	semidirect
66. #17988916	C₂²	semidirect
67. #17988907	C₂²	semidirect
68. #17988905	C₂²	semidirect
69. #17988904	C₂²	semidirect
71. #17988877	C₂²	semidirect
72. #17988876	C₂²	semidirect
74. #17988872	C₂²	semidirect
75. #17988872	C₂²	semidirect
76. #17988871	C₂²	semidirect
77. #17988870	C₂²	semidirect
78. #17988819	C₂²	semidirect
79. #17988817	C₂²	semidirect
80. #17988816	C₂²	semidirect
81. #17988816	C₂²	semidirect
82. #17988815	C₂²	semidirect
83. #17988813	C₂²	semidirect
85. #17988792	C₂²	semidirect
86. #17988791	C₂²	semidirect
88. #17988787	C₂²	semidirect
89. #17988787	C₂²	semidirect
90. #17988786	C₂²	semidirect
91. #17988785	C₂²	semidirect
95. #17988727	C₂²	semidirect
96. #17988726	C₂²	semidirect
97. #17988724	C₂²	semidirect
98. C₈×Dic₁₄₆	C₂²	semidirect
99. C₈×Dic₁₄₆	C₂²	semidirect
101. C₄×#11924017	C₂²	semidirect
102. C₄×#11924017	C₂²	semidirect
104. C₄×#11924015	C₂²	semidirect
105. C₄×#11924015	C₂²	semidirect
106. #17988674	C₂²	semidirect
108. C₄×#11924016	C₂²	semidirect
109. #17988672	C₂²	semidirect
110. C₈×D₂₉₂	C₂²	semidirect
111. C₈×D₂₉₂	C₂²	semidirect
112. C₈×C₂²⋊D₇₃	C₂²	semidirect
113. C₈×C₂²⋊D₇₃	C₂²	semidirect
114. #17988640	C₂²	semidirect
115. #17988638	C₂²	semidirect
116. #106×D₇₃	C₂²	semidirect
117. #103×D₇₃	C₂²	semidirect
119. C₄×C₈×D₇₃	C₂²	semidirect
121. C₂×C₄×Q₈×C₇₃	C₂²	semidirect
127. C₄×SD₁₆×C₇₃	C₂²	semidirect
128. C₄×SD₁₆×C₇₃	C₂²	semidirect
129. C₄×SD₁₆×C₇₃	C₂²	semidirect
130. C₄×SD₁₆×C₇₃	C₂²	semidirect
131. C₂×#106×C₇₃	C₂²	semidirect
132. C₂×#103×C₇₃	C₂²	semidirect
134. C₂×C₄×C₈×C₇₃	C₂²	semidirect
321. #11924028	SD₁₆	direct (N × H)
432. SD₁₆×C₇₃	#41	semidirect
476. Q₈×C₇₃	C₂×#41	semidirect
498. C₂×C₄×C₇₃	C₂×SD₁₆	semidirect
510. C₂²⋊D₇₃	C₂×SD₁₆	semidirect
523. D₂₉₂	C₂×SD₁₆	semidirect
532. C₄×D₇₃	C₂×SD₁₆	semidirect
540. Dic₁₄₆	C₂×SD₁₆	semidirect
544. C₈×C₇₃	C₂×#41	semidirect
615. C₂×C₄×SD₁₆	D₇₃	semidirect
616. C₇₃	SD₁₆×#41	semidirect
649. C₂×C₄×Q₈	C₂×D₇₃	semidirect
710. C₄×SD₁₆	C₂×D₇₃	semidirect
711. C₄×SD₁₆	C₂×D₇₃	semidirect
712. C₄×SD₁₆	C₂×D₇₃	semidirect
713. C₄×SD₁₆	C₂×D₇₃	semidirect
721. C₂×#106	C₂×D₇₃	semidirect
723. C₂×#103	C₂×D₇₃	semidirect
727. C₂×C₄×C₈	C₂×D₇₃	semidirect
981. SD₁₆	#11924028	direct (N × H)
1077. Q₈	C₂×#11924028	semidirect
1127. C₂×C₄	SD₁₆×D₇₃	semidirect
1139. C₈	C₂×#11924028	semidirect

Maximal subgroups

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

subgroup	index
Q₈×#11924028	2
D₄×#11924028	2
#22622910	2
SD₁₆×Dic₁₄₆	2
#22622600	2
#22622571	2
#22622290	2
#22622284	2
#22621798	2
#22621792	2
#22621757	2
#22621751	2
SD₁₆×D₂₉₂	2
SD₁₆×C₂²⋊D₇₃	2
#22620490	2
#22620487	2
#22619962	2
#22619960	2
#22619939	2
#22619937	2
C₈×#11924028	2
C₄×SD₁₆×D₇₃	2
C₂×C₄×SD₁₆×C₇₃	2
SD₁₆×#41	73

Subgroups — SD16×#11924028 #33967400

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — SD₁₆×#11924028 #33967400