Subgroups — #25971782

Order 11008.

2790 conjugacy classes of subgroups.

The subgroup lattice has 782 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×#14583696	C₂	1	2	yes	maximal, complemented
2	#41×D₁₇₂	C₂	1	2	yes	maximal, complemented
3	#19146262	C₂	1	2	yes	maximal, complemented
4	#19146251	C₂	1	2	yes	maximal, complemented
5	#19146242	C₂	1	2	yes	maximal, complemented
6	#19146228	C₂	1	4	yes	maximal, complemented
7	#19146216	C₂	1	2	yes	maximal, complemented
8	#19146205	C₂	1	2	yes	maximal, complemented
9	#19146196	C₂	1	2	yes	maximal, complemented
10	#19145023	C₂	1	1	yes	maximal, characteristic, complemented
11	#19144205	C₂	1	2	yes	maximal, complemented
12	#19144050	C₂	1	2	yes	maximal, complemented
13	#19143815	C₂	1	4	yes	maximal, complemented
14	C₂×#14582978	C₂	1	1	yes	maximal, characteristic, complemented
15	C₄×#135×C₄₃	C₂	1	1	yes	maximal, characteristic, complemented
16	C₂×#41×D₄₃	C₂²	1	4	yes	complemented
17	#14583696	—	2	16	no	—
18	C₂×#13063357	C₂²	1	4	yes	complemented
19	C₂×#13063354	C₂²	1	4	yes	complemented
20	C₂×#13063352	C₂²	1	4	yes	complemented
21	C₂×#13063349	C₂²	1	4	yes	complemented
22	C₂×#13063347	C₂²	1	2	yes	complemented
23	C₂×#13063347	C₂²	1	2	yes	complemented
24	C₂×#13063345	C₂²	1	4	yes	complemented
25	C₂²×#10621872	C₂²	1	2	yes	complemented
26	#14583571	C₂²	1	2	yes	—
27	Q₈×D₁₇₂	C₂²	1	2	yes	complemented
28	#14583561	C₂²	1	4	yes	complemented
29	#14583553	—	2	2	no	—
30	#14583553	C₂²	1	2	yes	—
31	#14583544	—	2	4	no	—
32	#14583544	C₂²	1	4	yes	complemented
33	D₄×D₁₇₂	—	2	2	no	—
34	D₄×D₁₇₂	C₂²	1	2	yes	complemented
35	#14583449	—	2	2	no	—
36	#14583449	C₂²	1	2	yes	complemented
37	#14583411	—	2	4	no	—
38	#14583411	C₂²	1	4	yes	complemented
39	C₂×C₄×D₁₇₂	—	2	2	no	—
40	C₂×C₄×D₁₇₂	C₂²	1	1	yes	characteristic
41	#14583283	C₂²	1	2	yes	complemented
42	#14583283	C₂²	1	2	yes	complemented
43	#14583279	C₂²	1	1	yes	characteristic, complemented
44	#14583276	C₂²	1	1	yes	characteristic, complemented
45	#14583272	C₂²	1	2	yes	complemented
46	#14583158	C₂²	1	4	yes	complemented
47	#14583153	C₂²	1	4	yes	complemented
48	#14583146	C₂²	1	4	yes	complemented
49	#14583146	C₂²	1	4	yes	complemented
50	#14583121	C₂²	1	4	yes	complemented
51	#14583114	C₂²	1	4	yes	complemented
52	#14583109	C₂²	1	2	yes	complemented
53	#14583104	C₂²	1	2	yes	complemented
54	#14583099	C₂²	1	2	yes	complemented
55	#14583094	C₂²	1	2	yes	complemented
56	#14583064	C₂²	1	4	yes	complemented
57	#14583062	C₂²	1	4	yes	complemented
58	#14583056	C₂²	1	4	yes	complemented
59	#14583051	C₂²	1	4	yes	complemented
60	#14583047	C₂²	1	4	yes	complemented
61	#14583045	C₂²	1	4	yes	complemented
62	#14583039	C₂²	1	4	yes	complemented
63	#14583034	C₂²	1	4	yes	complemented
64	#14582978	C₂²	1	2	yes	complemented
65	#14582978	C₂²	1	2	yes	complemented
66	#14582978	C₂²	1	2	yes	complemented
67	#14582978	C₂²	1	2	yes	complemented
68	C₂×C₄⋊(C₄₃⋊C₈)	C₂²	1	1	yes	characteristic, complemented
69	#14582893	C₂²	1	4	yes	complemented
70	C₂×(C₂×D₄₃)⋊C₈	C₂²	1	2	yes	complemented
71	C₂×#135×C₄₃	C₂²	1	1	yes	characteristic
72	C₄×#41×C₄₃	C₂²	1	2	yes	complemented
73	C₄×Q₁₆×C₄₃	C₂²	1	1	yes	characteristic, complemented
74	C₄×Q₁₆×C₄₃	C₂²	1	1	yes	characteristic, complemented
75	C₄×SD₁₆×C₄₃	C₂²	1	2	yes	complemented
76	C₄×SD₁₆×C₄₃	C₂²	1	2	yes	complemented
77	C₄×D₈×C₄₃	C₂²	1	1	yes	characteristic, complemented
78	C₄×D₈×C₄₃	C₂²	1	1	yes	characteristic, complemented
79	C₄₃×#427	C₂²	1	1	yes	characteristic, complemented
80	C₄₃×#416	C₂²	1	2	yes	complemented
81	C₂×C₄×C₈×C₄₃	C₂²	1	1	yes	characteristic, complemented
82	C₂×#10621902	C₂³	1	4	yes	—
83	C₂×#10621898	—	2	4	no	—
84	C₂×#10621898	C₂³	1	4	yes	—
85	C₂×#10621900	—	2	4	no	—
86	C₂×#10621900	C₂³	1	4	yes	—
87	#41×D₄₃	—	2	16	no	—
88	#41×D₄₃	—	4	8	no	—
89	C₂×Q₈×D₄₃	C₂³	1	4	yes	—
90	C₂²×D₁₇₂	—	2	2	no	—
91	C₂²×D₁₇₂	D₄	1	1	yes	characteristic
92	C₂×D₄×D₄₃	—	2	4	no	—
93	C₂×D₄×D₄₃	C₂³	1	4	yes	—
94	C₂²×C₄×D₄₃	—	2	4	no	—
95	C₂²×C₄×D₄₃	C₂³	1	2	yes	—
96	#13063357	—	2	16	no	—
97	#13063354	—	2	16	no	—
98	#13063352	—	2	16	no	—
99	#13063349	—	2	16	no	—
100	#13063347	—	2	8	no	—
101	#13063347	—	4	4	no	—
102	#13063345	—	2	16	no	—
103	C₂×Dic₁₇₂	C₂³	1	2	yes	—
104	C₂×Dic₁₇₂	C₂³	1	2	yes	—
105	C₂×#10621885	C₂³	1	4	yes	—
106	C₂×#10621873	C₂³	1	4	yes	—
107	C₂×#10621873	C₂³	1	4	yes	—
108	C₂×#10621883	C₂³	1	4	yes	—
109	C₂×#10621884	C₂³	1	4	yes	—
110	C₂×D₃₄₄	C₂³	1	2	yes	—
111	C₂×D₃₄₄	C₂³	1	2	yes	—
112	C₂×#10621882	C₂³	1	4	yes	—
113	C₂×#10621872	—	2	8	no	—
114	C₂×#10621872	C₂³	1	4	yes	—
115	C₂×#10621872	C₂³	1	4	yes	—
116	C₂²×C₄₃⋊C₈	C₂³	1	2	yes	—
117	#13063325	—	2	2	no	—
118	#13063325	C₂³	1	2	yes	—
119	#13063322	—	2	2	no	—
120	#13063322	C₂³	1	2	yes	—
121	#13063313	—	2	4	no	—
122	#13063313	C₂³	1	4	yes	—
123	#13063309	—	2	4	no	—
124	#13063309	—	2	4	no	—
125	#13063309	—	2	4	no	—
126	#13063305	—	2	4	no	—
127	#13063305	—	2	4	no	—
128	#13063305	C₂³	1	4	yes	—
129	#13063305	C₂³	1	4	yes	—
130	#13063300	—	2	4	no	—
131	#13063300	—	2	4	no	—
132	#13063300	C₂³	1	4	yes	—
133	#13063300	C₂³	1	4	yes	—
134	#13063299	—	2	2	no	—
135	#13063299	—	2	2	no	—
136	#13063299	—	2	2	no	—
137	#13063299	—	2	4	no	—
138	#13063299	—	2	2	no	—
139	#13063295	—	2	4	no	—
140	#13063295	—	2	4	no	—
141	#13063295	—	2	4	no	—
142	C₄×D₁₇₂	—	2	2	no	—
143	C₄×D₁₇₂	—	2	4	no	—
144	C₄×D₁₇₂	—	2	4	no	—
145	C₄×D₁₇₂	—	2	2	no	—
146	C₄×D₁₇₂	—	2	2	no	—
147	C₄×D₁₇₂	—	2	4	no	—
148	C₄×D₁₇₂	—	2	2	no	—
149	C₄×D₁₇₂	D₄	1	2	yes	—
150	C₄×D₁₇₂	D₄	1	2	yes	—
151	C₄×D₁₇₂	C₂³	1	2	yes	—
152	C₄×D₁₇₂	C₂³	1	2	yes	—
153	C₂×C₄⋊Dic₄₃	—	2	2	no	—
154	C₂×C₄⋊Dic₄₃	D₄	1	1	yes	characteristic
155	C₂×(C₂×D₄₃)⋊C₄	—	2	4	no	—
156	C₂×(C₂×D₄₃)⋊C₄	D₄	1	2	yes	—
157	C₄⋊(C₄₃⋊C₈)	C₂³	1	2	yes	—
158	C₄⋊(C₄₃⋊C₈)	C₂³	1	2	yes	—
159	#13063248	C₂³	1	4	yes	—
160	#13063248	C₂³	1	4	yes	—
161	#13063245	C₂³	1	4	yes	—
162	#13063245	C₂³	1	4	yes	—
163	(C₂×D₄₃)⋊C₈	C₂³	1	4	yes	—
164	(C₂×D₄₃)⋊C₈	C₂³	1	4	yes	—
165	C₂×#41×C₄₃	C₂³	1	2	yes	—
166	#135×C₄₃	D₄	1	8	yes	complemented
167	C₂×Q₁₆×C₄₃	C₂³	1	1	yes	characteristic
168	C₂×SD₁₆×C₄₃	C₂³	1	2	yes	—
169	C₂×D₈×C₄₃	C₂³	1	1	yes	characteristic
170	C₂²×C₈×C₄₃	C₂³	1	1	yes	characteristic
171	C₂²×C₈×C₄₃	C₂³	1	1	yes	characteristic
172	C₄×Q₈×C₄₃	C₂³	1	2	yes	—
173	C₄×Q₈×C₄₃	C₂³	1	2	yes	—
174	C₄×D₄×C₄₃	—	2	2	no	—
175	C₄×D₄×C₄₃	—	2	2	no	—
176	C₄×D₄×C₄₃	C₂³	1	2	yes	—
177	C₄×D₄×C₄₃	C₂³	1	2	yes	—
178	#117×C₄₃	—	2	2	no	—
179	#117×C₄₃	C₂³	1	2	yes	—
180	C₂×C₄²×C₄₃	—	2	2	no	—
181	C₂×C₄²×C₄₃	C₂³	1	1	yes	characteristic
182	#107×C₄₃	C₂³	1	1	yes	characteristic
183	#107×C₄₃	C₂³	1	1	yes	characteristic
184	#106×C₄₃	C₂³	1	2	yes	—
185	#103×C₄₃	C₂³	1	2	yes	—
186	#103×C₄₃	C₂³	1	2	yes	—
187	#102×C₄₃	C₂³	1	2	yes	—
188	#102×C₄₃	C₂³	1	2	yes	—
189	C₄×C₈×C₄₃	C₂³	1	1	yes	characteristic
190	C₄×C₈×C₄₃	C₂³	1	1	yes	characteristic
191	C₄×C₈×C₄₃	C₂³	1	1	yes	characteristic
192	C₄×C₈×C₄₃	C₂³	1	1	yes	characteristic
193	C₂³×D₄₃	—	2	4	no	—
194	C₂³×D₄₃	C₂×D₄	1	2	yes	—
195	#41×C₄₃	—	2	4	no	—
196	#41×C₄₃	C₂×D₄	1	8	yes	complemented
197	C₂×Q₈×C₄₃	C₂⁴	1	2	yes	—
198	C₂×D₄×C₄₃	—	2	2	no	—
199	C₂×D₄×C₄₃	C₂⁴	1	2	yes	—
200	C₂²×C₄×C₄₃	—	2	2	no	—
201	C₂²×C₄×C₄₃	—	2	2	no	—
202	C₂²×C₄×C₄₃	—	2	2	no	—
203	C₂²×C₄×C₄₃	C₂×D₄	1	1	yes	characteristic
204	C₂²×C₄×C₄₃	C₂×D₄	1	1	yes	characteristic
205	C₂²×C₄×C₄₃	C₂⁴	1	1	yes	characteristic
206	C₂×C₂²⋊D₄₃	—	2	4	no	—
207	C₂×C₂²⋊D₄₃	—	2	4	no	—
208	C₂×C₂²⋊D₄₃	—	2	4	no	—
209	C₂²×Dic₄₃	—	2	4	no	—
210	C₂²×Dic₄₃	C₂×D₄	1	2	yes	—
211	#10621902	—	2	8	no	—
212	#10621902	—	4	4	no	—
213	Q₈×D₄₃	—	2	8	no	—
214	Q₈×D₄₃	—	4	4	no	—
215	#10621900	—	2	8	no	—
216	#10621900	—	4	4	no	—
217	#10621900	—	4	16	no	—
218	D₄×D₄₃	—	2	8	no	—
219	D₄×D₄₃	—	4	16	no	—
220	D₄×D₄₃	—	4	4	no	—
221	#10621898	—	2	8	no	—
222	#10621898	—	2	8	no	—
223	#10621898	—	4	16	no	—
224	C₂×D₁₇₂	—	2	2	no	—
225	C₂×D₁₇₂	—	2	2	no	—
226	C₂×D₁₇₂	—	2	4	no	—
227	C₂×D₁₇₂	—	2	4	no	—
228	C₂×D₁₇₂	—	2	4	no	—
229	C₂×D₁₇₂	—	4	2	no	—
230	C₂×D₁₇₂	—	4	8	no	—
231	C₂×D₁₇₂	C₂×D₄	1	2	yes	—
232	C₂×D₁₇₂	C₂×D₄	1	2	yes	—
233	C₂×D₁₇₂	C₂⁴	1	4	yes	—
234	C₂×C₄×D₄₃	—	2	4	no	—
235	C₂×C₄×D₄₃	—	2	4	no	—
236	C₂×C₄×D₄₃	—	2	4	no	—
237	C₂×C₄×D₄₃	—	2	4	no	—
238	C₂×C₄×D₄₃	—	2	4	no	—
239	C₂×C₄×D₄₃	—	4	16	no	—
240	C₂×C₄×D₄₃	C₂×D₄	1	4	yes	—
241	C₂×C₄×D₄₃	C₂⁴	1	4	yes	—
242	C₂×Dic₈₆	—	2	4	no	—
243	C₂×Dic₈₆	C₂⁴	1	4	yes	—
244	Q₁₆×C₄₃	C₂×D₄	1	4	yes	complemented
245	SD₁₆×C₄₃	C₂×D₄	1	8	yes	complemented
246	D₈×C₄₃	C₂×D₄	1	4	yes	complemented
247	C₂×C₈×C₄₃	—	2	2	no	—
248	C₂×C₈×C₄₃	C₂×D₄	1	4	yes	complemented
249	C₂×C₈×C₄₃	C₂⁴	1	1	yes	characteristic
250	C₂×C₈×C₄₃	C₂⁴	1	1	yes	characteristic
251	C₂×C₈×C₄₃	C₂⁴	1	1	yes	characteristic
252	C₂×C₈×C₄₃	C₂⁴	1	1	yes	characteristic
253	C₄⋊C₄×C₄₃	—	2	2	no	—
254	C₄⋊C₄×C₄₃	—	2	2	no	—
255	C₄⋊C₄×C₄₃	C₂⁴	1	2	yes	—
256	C₄⋊C₄×C₄₃	C₂⁴	1	2	yes	—
257	C₂²⋊C₄×C₄₃	—	2	2	no	—
258	C₂²⋊C₄×C₄₃	—	2	2	no	—
259	C₂²⋊C₄×C₄₃	—	2	2	no	—
260	C₄²×C₄₃	—	2	2	no	—
261	C₄²×C₄₃	—	2	2	no	—
262	C₄²×C₄₃	—	2	2	no	—
263	C₄²×C₄₃	C₂×D₄	1	1	yes	characteristic
264	C₄²×C₄₃	C₂×D₄	1	1	yes	characteristic
265	C₄²×C₄₃	C₂⁴	1	1	yes	characteristic
266	C₄²×C₄₃	C₂⁴	1	1	yes	characteristic
267	#10621885	—	2	8	no	—
268	#10621884	—	2	8	no	—
269	#10621883	—	2	8	no	—
270	#10621882	—	2	8	no	—
271	(C₂×D₄₃)⋊C₄	—	2	4	no	—
272	(C₂×D₄₃)⋊C₄	—	2	4	no	—
273	(C₂×D₄₃)⋊C₄	—	2	4	no	—
274	(C₂×D₄₃)⋊C₄	—	2	4	no	—
275	(C₂×D₄₃)⋊C₄	—	2	4	no	—
276	(C₂×D₄₃)⋊C₄	—	2	4	no	—
277	(C₂×D₄₃)⋊C₄	C₂×D₄	1	4	yes	—
278	(C₂×D₄₃)⋊C₄	C₂×D₄	1	4	yes	—
279	C₄⋊Dic₄₃	—	2	2	no	—
280	C₄⋊Dic₄₃	—	2	2	no	—
281	C₄⋊Dic₄₃	—	2	4	no	—
282	C₄⋊Dic₄₃	—	2	4	no	—
283	C₄⋊Dic₄₃	C₂×D₄	1	2	yes	—
284	C₄⋊Dic₄₃	C₂×D₄	1	2	yes	—
285	C₂×C₄₃⋊C₈	—	2	4	no	—
286	C₂×C₄₃⋊C₈	C₂⁴	1	4	yes	—
287	Dic₁₇₂	—	2	4	no	—
288	Dic₁₇₂	—	4	2	no	—
289	D₃₄₄	—	2	4	no	—
290	D₃₄₄	—	4	2	no	—
291	#10621873	—	2	8	no	—
292	#10621873	—	4	4	no	—
293	#10621872	—	2	8	no	—
294	#10621872	—	2	8	no	—
295	C₂³×C₄₃	—	2	2	no	—
296	C₂³×C₄₃	C₂²×D₄	1	1	yes	characteristic
297	C₂²×D₄₃	—	2	4	no	—
298	C₂²×D₄₃	—	2	4	no	—
299	C₂²×D₄₃	—	4	2	no	—
300	C₂²×D₄₃	—	4	2	no	—
301	C₂²×D₄₃	—	4	8	no	—
302	C₂²×D₄₃	—	4	8	no	—
303	C₂²×D₄₃	—	8	4	no	—
304	C₂²×D₄₃	C₂²×D₄	1	4	yes	—
305	Q₈×C₄₃	—	2	2	no	—
306	Q₈×C₄₃	C₂²×D₄	1	4	yes	—
307	D₄×C₄₃	—	2	8	no	—
308	D₄×C₄₃	—	2	2	no	—
309	D₄×C₄₃	C₂²×D₄	1	4	yes	—
310	C₂×C₄×C₄₃	—	2	2	no	—
311	C₂×C₄×C₄₃	—	2	8	no	—
312	C₂×C₄×C₄₃	—	2	2	no	—
313	C₂×C₄×C₄₃	—	2	2	no	—
314	C₂×C₄×C₄₃	—	2	2	no	—
315	C₂×C₄×C₄₃	—	4	1	no	—
316	C₂×C₄×C₄₃	—	4	4	no	—
317	C₂×C₄×C₄₃	—	8	2	no	—
318	C₂×C₄×C₄₃	C₂²×D₄	1	1	yes	characteristic
319	C₂×C₄×C₄₃	C₂²×D₄	1	1	yes	characteristic
320	C₂×C₄×C₄₃	C₂²×D₄	1	1	yes	characteristic
321	C₂×C₄×C₄₃	C₂²×D₄	1	1	yes	characteristic
322	C₂×C₄×C₄₃	C₂²×D₄	1	1	yes	characteristic
323	C₂×C₄×C₄₃	C₂²×D₄	1	2	yes	—
324	C₂×C₄×C₄₃	H(5,𝔽₂)	1	2	yes	—
325	C₂×C₄×C₄₃	C₂⁵	1	1	yes	characteristic
326	C₂²⋊D₄₃	—	4	8	no	—
327	C₂²⋊D₄₃	—	4	8	no	—
328	C₂²⋊D₄₃	—	4	8	no	—
329	C₂×Dic₄₃	—	2	4	no	—
330	C₂×Dic₄₃	—	2	4	no	—
331	C₂×Dic₄₃	—	4	8	no	—
332	C₂×Dic₄₃	C₂²×D₄	1	4	yes	—
333	D₁₇₂	—	2	4	no	—
334	D₁₇₂	—	2	4	no	—
335	D₁₇₂	—	2	4	no	—
336	D₁₇₂	—	4	2	no	—
337	D₁₇₂	—	4	8	no	—
338	D₁₇₂	—	4	8	no	—
339	D₁₇₂	—	4	4	no	—
340	D₁₇₂	—	8	2	no	—
341	D₁₇₂	—	8	4	no	—
342	C₄×D₄₃	—	2	8	no	—
343	C₄×D₄₃	—	2	4	no	—
344	C₄×D₄₃	—	2	4	no	—
345	C₄×D₄₃	—	4	8	no	—
346	C₄×D₄₃	—	4	8	no	—
347	C₄×D₄₃	—	4	8	no	—
348	Dic₈₆	—	2	4	no	—
349	Dic₈₆	—	2	4	no	—
350	Dic₈₆	—	4	8	no	—
351	C₈×C₄₃	—	2	1	no	—
352	C₈×C₄₃	—	2	1	no	—
353	C₈×C₄₃	C₂²×D₄	1	2	yes	—
354	C₈×C₄₃	C₂²×D₄	1	2	yes	—
355	C₄₃⋊C₈	—	2	4	no	—
356	#61038	—	43	1	no	maximal, Sylow
357	C₂²×C₄₃	—	2	1	no	—
358	C₂²×C₄₃	—	2	1	no	—
359	C₂²×C₄₃	—	2	4	no	—
360	C₂²×C₄₃	—	4	2	no	—
361	C₂²×C₄₃	—	4	2	no	—
362	C₂²×C₄₃	D₄²	1	2	yes	—
363	C₂²×C₄₃	C₂³×D₄	1	1	yes	characteristic
364	C₂×D₄₃	—	2	4	no	—
365	C₂×D₄₃	—	2	4	no	—
366	C₂×D₄₃	—	2	4	no	—
367	C₂×D₄₃	—	4	4	no	—
368	C₂×D₄₃	—	4	4	no	—
369	C₂×D₄₃	—	4	4	no	—
370	C₂×D₄₃	—	8	4	no	—
371	C₂×D₄₃	—	8	16	no	—
372	C₄×C₄₃	—	2	1	no	—
373	C₄×C₄₃	—	2	1	no	—
374	C₄×C₄₃	—	2	4	no	—
375	C₄×C₄₃	—	2	1	no	—
376	C₄×C₄₃	—	4	2	no	—
377	C₄×C₄₃	—	4	2	no	—
378	C₄×C₄₃	D₄²	1	2	yes	—
379	C₄×C₄₃	#575	1	2	yes	complemented
380	C₄×C₄₃	C₂³×D₄	1	1	yes	characteristic
381	C₄×C₄₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
382	Dic₄₃	—	2	4	no	—
383	Dic₄₃	—	4	4	no	—
384	C₂×#575	—	43	2	no	—
385	D₄×#41	—	43	2	no	—
386	#3278	—	43	2	no	—
387	#3277	—	43	2	no	—
388	#3276	—	43	2	no	—
389	#3275	—	43	4	no	—
390	#3274	—	43	2	no	—
391	#3273	—	43	2	no	—
392	#3272	—	43	2	no	—
393	#3147	—	43	1	no	—
394	#3054	—	43	2	no	—
395	#3035	—	43	2	no	—
396	#3002	—	43	4	no	—
397	C₄×#135	D₄₃	1	1	yes	characteristic, complemented
398	C₂×#436	—	43	1	no	—
399	C₂×C₄₃	—	2	2	no	—
400	C₂×C₄₃	—	4	4	no	—
401	C₂×C₄₃	C₂×D₄²	1	1	yes	characteristic
402	C₂×C₄₃	C₂×#575	1	1	yes	characteristic
403	C₂×C₄₃	#3584	1	1	yes	characteristic
404	D₄₃	—	4	4	no	—
405	D₄₃	—	8	4	no	—
406	C₂²×#41	—	43	4	no	—
407	#575	—	86	16	no	—
408	C₂×#137	—	43	4	no	—
409	C₂×#137	—	43	4	no	—
410	C₂×AGL(1,ℤ/8)	—	43	4	no	—
411	C₂×AGL(1,ℤ/8)	—	43	4	no	—
412	C₂×#135	—	43	4	no	—
413	C₂×#135	—	43	2	no	—
414	C₂×#135	—	43	2	no	—
415	C₂×#135	C₂×D₄₃	1	1	yes	characteristic
416	C₂²×M₁₆	—	43	2	no	—
417	#550	—	43	2	no	—
418	D₄×Q₈	—	43	2	no	—
419	#548	—	43	4	no	—
420	#547	—	43	2	no	—
421	#547	—	86	2	no	—
422	#546	—	43	4	no	—
423	#546	—	86	4	no	—
424	D₄²	—	43	2	no	—
425	D₄²	—	86	2	no	—
426	#532	—	43	2	no	—
427	#532	—	86	2	no	—
428	#525	—	43	4	no	—
429	#525	—	86	4	no	—
430	C₄×#41	C₂×D₄₃	1	2	yes	complemented
431	C₂×C₄×D₄	—	43	1	no	—
432	C₂×C₄×D₄	—	86	2	no	—
433	#495	—	43	2	no	—
434	#495	—	43	2	no	—
435	#494	—	43	1	no	—
436	#493	—	43	1	no	—
437	#492	—	43	2	no	—
438	#470	—	43	4	no	—
439	#469	—	43	4	no	—
440	#468	—	43	4	no	—
441	#468	—	43	4	no	—
442	#464	—	43	4	no	—
443	#463	—	43	4	no	—
444	#462	—	43	2	no	—
445	#461	—	43	2	no	—
446	#460	—	43	2	no	—
447	#459	—	43	2	no	—
448	#452	—	43	4	no	—
449	#452	—	43	4	no	—
450	#451	—	43	4	no	—
451	#450	—	43	4	no	—
452	#449	—	43	4	no	—
453	#449	—	43	4	no	—
454	#448	—	43	4	no	—
455	#447	—	43	4	no	—
456	C₄×Q₁₆	C₂×D₄₃	1	1	yes	characteristic, complemented
457	C₄×Q₁₆	C₂×D₄₃	1	1	yes	characteristic, complemented
458	C₄×SD₁₆	C₂×D₄₃	1	2	yes	complemented
459	C₄×SD₁₆	C₂×D₄₃	1	2	yes	complemented
460	C₄×D₈	C₂×D₄₃	1	1	yes	characteristic, complemented
461	C₄×D₈	C₂×D₄₃	1	1	yes	characteristic, complemented
462	#436	—	43	2	no	—
463	#436	—	43	2	no	—
464	#436	—	43	2	no	—
465	#436	—	43	2	no	—
466	#427	C₂×D₄₃	1	1	yes	characteristic, complemented
467	C₂×C₄⋊C₈	—	43	1	no	—
468	#416	—	43	4	no	—
469	#416	C₂×D₄₃	1	2	yes	complemented
470	C₂×C₂²⋊C₈	—	43	2	no	—
471	C₂×C₄×C₈	C₂×D₄₃	1	1	yes	characteristic, complemented
472	C₄₃	#61038	1	1	yes	characteristic, complemented, Sylow
473	C₂×#41	—	43	4	no	—
474	C₂×#41	—	43	4	no	—
475	C₂×#41	—	43	4	no	—
476	C₂×#41	—	86	4	no	—
477	C₂×#41	—	86	4	no	—
478	C₂×#41	—	86	16	no	—
479	C₂×#41	—	172	8	no	—
480	C₂×#41	C₂²×D₄₃	1	2	yes	—
481	C₂²×Q₈	—	43	4	no	—
482	C₂²×D₄	—	43	4	no	—
483	C₂²×D₄	—	43	1	no	—
484	C₂²×D₄	—	86	2	no	—
485	C₂²×D₄	—	86	4	no	—
486	C₂³×C₄	—	43	2	no	—
487	C₂³×C₄	—	86	4	no	—
488	#137	—	86	16	no	—
489	#137	—	86	16	no	—
490	AGL(1,ℤ/8)	—	86	16	no	—
491	AGL(1,ℤ/8)	—	86	16	no	—
492	#135	—	86	16	no	—
493	#135	—	86	8	no	—
494	#135	—	172	4	no	—
495	#135	D₁₇₂	1	8	yes	complemented
496	C₂×Q₁₆	—	43	4	no	—
497	C₂×Q₁₆	—	43	2	no	—
498	C₂×Q₁₆	—	43	2	no	—
499	C₂×Q₁₆	C₂²×D₄₃	1	1	yes	characteristic
500	C₂×SD₁₆	—	43	4	no	—
501	C₂×SD₁₆	—	43	4	no	—
502	C₂×SD₁₆	—	43	4	no	—
503	C₂×SD₁₆	—	43	4	no	—
504	C₂×SD₁₆	C₂²×D₄₃	1	2	yes	—
505	C₂×D₈	—	43	4	no	—
506	C₂×D₈	—	43	2	no	—
507	C₂×D₈	—	43	2	no	—
508	C₂×D₈	C₂²×D₄₃	1	1	yes	characteristic
509	C₂×M₁₆	—	43	4	no	—
510	C₂×M₁₆	—	43	4	no	—
511	C₂×M₁₆	—	86	8	no	—
512	C₂²×C₈	—	43	2	no	—
513	C₂²×C₈	C₂²×D₄₃	1	1	yes	characteristic
514	C₂²×C₈	C₂²×D₄₃	1	1	yes	characteristic
515	C₄⋊Q₈	—	43	2	no	—
516	C₄⋊Q₈	—	86	2	no	—
517	#127	—	43	2	no	—
518	#127	—	86	2	no	—
519	#124	—	43	4	no	—
520	#124	—	86	4	no	—
521	#123	—	86	4	no	—
522	#123	—	86	4	no	—
523	#123	—	86	4	no	—
524	C₂²⋊Q₈	—	43	4	no	—
525	C₂²⋊Q₈	—	43	4	no	—
526	C₂²⋊Q₈	—	86	4	no	—
527	C₂²⋊Q₈	—	86	4	no	—
528	#121	—	43	4	no	—
529	#121	—	43	4	no	—
530	#121	—	86	4	no	—
531	#121	—	86	4	no	—
532	#121	—	86	4	no	—
533	#121	—	86	2	no	—
534	#121	—	86	2	no	—
535	#121	—	86	2	no	—
536	#121	—	86	2	no	—
537	#120	—	86	4	no	—
538	#120	—	86	4	no	—
539	#120	—	86	4	no	—
540	C₄×Q₈	C₂²×D₄₃	1	2	yes	—
541	C₄×Q₈	C₂²×D₄₃	1	2	yes	—
542	C₄×D₄	—	2	2	no	—
543	C₄×D₄	—	2	2	no	—
544	C₄×D₄	—	43	2	no	—
545	C₄×D₄	—	43	2	no	—
546	C₄×D₄	—	43	2	no	—
547	C₄×D₄	—	43	2	no	—
548	C₄×D₄	—	86	4	no	—
549	C₄×D₄	—	86	2	no	—
550	C₄×D₄	—	86	4	no	—
551	C₄×D₄	—	86	4	no	—
552	C₄×D₄	—	86	2	no	—
553	C₄×D₄	—	86	2	no	—
554	C₄×D₄	—	86	2	no	—
555	C₄×D₄	C₂²×D₄₃	1	2	yes	—
556	C₄×D₄	C₂²×D₄₃	1	2	yes	—
557	#117	—	2	2	no	—
558	#117	C₂²×D₄₃	1	2	yes	—
559	C₂×C₄⋊C₄	—	43	1	no	—
560	C₂×C₄⋊C₄	—	86	2	no	—
561	C₂×C₂²⋊C₄	—	43	2	no	—
562	C₂×C₂²⋊C₄	—	86	4	no	—
563	C₂×C₄²	—	2	2	no	—
564	C₂×C₄²	C₂²×D₄₃	1	1	yes	characteristic
565	#107	C₂²×D₄₃	1	1	yes	characteristic
566	#107	C₂²×D₄₃	1	1	yes	characteristic
567	#106	C₂²×D₄₃	1	2	yes	—
568	C₄⋊C₈	—	43	2	no	—
569	C₄⋊C₈	—	43	2	no	—
570	#103	—	43	4	no	—
571	#103	—	43	4	no	—
572	#103	C₂²×D₄₃	1	2	yes	—
573	#103	C₂²×D₄₃	1	2	yes	—
574	#102	—	43	4	no	—
575	#102	—	43	4	no	—
576	#102	C₂²×D₄₃	1	2	yes	—
577	#102	C₂²×D₄₃	1	2	yes	—
578	C₂²⋊C₈	—	43	4	no	—
579	C₂²⋊C₈	—	43	4	no	—
580	C₄×C₈	C₂²×D₄₃	1	1	yes	characteristic
581	C₄×C₈	C₂²×D₄₃	1	1	yes	characteristic
582	C₄×C₈	C₂²×D₄₃	1	1	yes	characteristic
583	C₄×C₈	C₂²×D₄₃	1	1	yes	characteristic
584	C₂⁴	—	43	2	no	—
585	C₂⁴	—	86	4	no	—
586	#41	—	2	4	no	—
587	#41	—	86	8	no	—
588	#41	—	86	8	no	—
589	#41	—	86	8	no	—
590	#41	—	86	8	no	—
591	#41	—	172	16	no	—
592	#41	—	172	4	no	—
593	#41	—	172	16	no	—
594	#41	—	172	4	no	—
595	#41	C₂×D₁₇₂	1	8	yes	complemented
596	C₂×Q₈	—	43	4	no	—
597	C₂×Q₈	—	86	4	no	—
598	C₂×Q₈	—	86	8	no	—
599	C₂×Q₈	—	172	4	no	—
600	C₂×Q₈	C₂³×D₄₃	1	2	yes	—
601	C₂×D₄	—	2	2	no	—
602	C₂×D₄	—	43	2	no	—
603	C₂×D₄	—	43	2	no	—
604	C₂×D₄	—	43	4	no	—
605	C₂×D₄	—	86	4	no	—
606	C₂×D₄	—	86	4	no	—
607	C₂×D₄	—	86	4	no	—
608	C₂×D₄	—	86	4	no	—
609	C₂×D₄	—	86	8	no	—
610	C₂×D₄	—	86	4	no	—
611	C₂×D₄	—	86	4	no	—
612	C₂×D₄	—	86	2	no	—
613	C₂×D₄	—	86	2	no	—
614	C₂×D₄	—	172	2	no	—
615	C₂×D₄	—	172	8	no	—
616	C₂×D₄	—	172	4	no	—
617	C₂×D₄	—	172	16	no	—
618	C₂×D₄	C₂³×D₄₃	1	2	yes	—
619	C₂²×C₄	—	2	2	no	—
620	C₂²×C₄	—	2	2	no	—
621	C₂²×C₄	—	2	2	no	—
622	C₂²×C₄	—	43	2	no	—
623	C₂²×C₄	—	43	4	no	—
624	C₂²×C₄	—	43	4	no	—
625	C₂²×C₄	—	86	4	no	—
626	C₂²×C₄	—	86	4	no	—
627	C₂²×C₄	—	86	4	no	—
628	C₂²×C₄	—	86	4	no	—
629	C₂²×C₄	—	86	4	no	—
630	C₂²×C₄	—	86	4	no	—
631	C₂²×C₄	—	172	16	no	—
632	C₂²×C₄	D₄×D₄₃	1	1	yes	characteristic
633	C₂²×C₄	D₄×D₄₃	1	1	yes	characteristic
634	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
635	Q₁₆	—	86	8	no	—
636	Q₁₆	—	86	4	no	—
637	Q₁₆	—	172	2	no	—
638	Q₁₆	C₂×D₁₇₂	1	4	yes	complemented
639	SD₁₆	—	86	8	no	—
640	SD₁₆	—	86	8	no	—
641	SD₁₆	—	86	8	no	—
642	SD₁₆	—	172	4	no	—
643	SD₁₆	C₂×D₁₇₂	1	8	yes	complemented
644	D₈	—	86	8	no	—
645	D₈	—	86	4	no	—
646	D₈	—	172	2	no	—
647	D₈	C₂×D₁₇₂	1	4	yes	complemented
648	M₁₆	—	86	8	no	—
649	M₁₆	—	86	8	no	—
650	C₂×C₈	—	2	2	no	—
651	C₂×C₈	—	43	4	no	—
652	C₂×C₈	—	86	4	no	—
653	C₂×C₈	C₂×D₁₇₂	1	4	yes	complemented
654	C₂×C₈	C₂³×D₄₃	1	1	yes	characteristic
655	C₂×C₈	C₂³×D₄₃	1	1	yes	characteristic
656	C₂×C₈	C₂³×D₄₃	1	1	yes	characteristic
657	C₂×C₈	C₂³×D₄₃	1	1	yes	characteristic
658	C₄⋊C₄	—	2	2	no	—
659	C₄⋊C₄	—	2	2	no	—
660	C₄⋊C₄	—	43	2	no	—
661	C₄⋊C₄	—	43	2	no	—
662	C₄⋊C₄	—	86	4	no	—
663	C₄⋊C₄	—	86	4	no	—
664	C₄⋊C₄	—	86	2	no	—
665	C₄⋊C₄	—	86	2	no	—
666	C₄⋊C₄	C₂³×D₄₃	1	2	yes	—
667	C₄⋊C₄	C₂³×D₄₃	1	2	yes	—
668	C₂²⋊C₄	—	2	2	no	—
669	C₂²⋊C₄	—	2	2	no	—
670	C₂²⋊C₄	—	2	2	no	—
671	C₂²⋊C₄	—	43	4	no	—
672	C₂²⋊C₄	—	43	4	no	—
673	C₂²⋊C₄	—	86	4	no	—
674	C₂²⋊C₄	—	86	4	no	—
675	C₂²⋊C₄	—	86	4	no	—
676	C₂²⋊C₄	—	86	4	no	—
677	C₂²⋊C₄	—	86	4	no	—
678	C₂²⋊C₄	—	86	4	no	—
679	C₄²	—	2	2	no	—
680	C₄²	—	2	2	no	—
681	C₄²	—	2	2	no	—
682	C₄²	D₄×D₄₃	1	1	yes	characteristic
683	C₄²	D₄×D₄₃	1	1	yes	characteristic
684	C₄²	C₂³×D₄₃	1	1	yes	characteristic
685	C₄²	C₂³×D₄₃	1	1	yes	characteristic
686	C₂³	—	2	2	no	—
687	C₂³	—	43	4	no	—
688	C₂³	—	86	4	no	—
689	C₂³	—	86	4	no	—
690	C₂³	—	344	4	no	—
691	C₂³	—	172	2	no	—
692	C₂³	—	172	2	no	—
693	C₂³	—	172	8	no	—
694	C₂³	—	172	8	no	—
695	C₂³	C₂×D₄×D₄₃	1	1	yes	characteristic
696	Q₈	—	2	2	no	—
697	Q₈	—	86	4	no	—
698	Q₈	—	86	4	no	—
699	Q₈	—	172	8	no	—
700	Q₈	C₂²×D₁₇₂	1	4	yes	—
701	D₄	—	2	8	no	—
702	D₄	—	2	2	no	—
703	D₄	—	86	4	no	—
704	D₄	—	86	4	no	—
705	D₄	—	86	4	no	—
706	D₄	—	344	2	no	—
707	D₄	—	344	4	no	—
708	D₄	—	172	2	no	—
709	D₄	—	172	8	no	—
710	D₄	—	172	8	no	—
711	D₄	—	172	8	no	—
712	D₄	—	172	8	no	—
713	D₄	—	172	8	no	—
714	D₄	—	172	4	no	—
715	D₄	C₂²×D₁₇₂	1	4	yes	—
716	C₂×C₄	—	2	2	no	—
717	C₂×C₄	—	2	2	no	—
718	C₂×C₄	—	2	8	no	—
719	C₂×C₄	—	2	2	no	—
720	C₂×C₄	—	2	2	no	—
721	C₂×C₄	—	4	1	no	—
722	C₂×C₄	—	4	4	no	—
723	C₂×C₄	—	8	2	no	—
724	C₂×C₄	—	43	4	no	—
725	C₂×C₄	—	86	4	no	—
726	C₂×C₄	—	86	4	no	—
727	C₂×C₄	—	86	4	no	—
728	C₂×C₄	—	86	8	no	—
729	C₂×C₄	—	86	4	no	—
730	C₂×C₄	—	172	8	no	—
731	C₂×C₄	—	172	8	no	—
732	C₂×C₄	—	172	8	no	—
733	C₂×C₄	—	172	8	no	—
734	C₂×C₄	C₂×D₄×D₄₃	1	1	yes	characteristic
735	C₂×C₄	C₂×D₄×D₄₃	1	1	yes	characteristic
736	C₂×C₄	C₂×D₄×D₄₃	1	1	yes	characteristic
737	C₂×C₄	C₂×D₄×D₄₃	1	1	yes	characteristic
738	C₂×C₄	C₂×D₄×D₄₃	1	1	yes	characteristic
739	C₂×C₄	C₂²×D₁₇₂	1	2	yes	—
740	C₂×C₄	#13063371	1	2	yes	—
741	C₂×C₄	C₂⁴×D₄₃	1	1	yes	characteristic
742	C₈	—	2	1	no	—
743	C₈	—	2	1	no	—
744	C₈	—	86	4	no	—
745	C₈	C₂²×D₁₇₂	1	2	yes	—
746	C₈	C₂²×D₁₇₂	1	2	yes	—
747	C₂²	—	2	1	no	—
748	C₂²	—	2	1	no	—
749	C₂²	—	2	4	no	—
750	C₂²	—	4	2	no	—
751	C₂²	—	4	2	no	—
752	C₂²	—	86	4	no	—
753	C₂²	—	86	4	no	—
754	C₂²	—	86	4	no	—
755	C₂²	—	344	4	no	—
756	C₂²	—	344	16	no	—
757	C₂²	—	172	4	no	—
758	C₂²	—	172	4	no	—
759	C₂²	—	172	4	no	—
760	C₂²	D₄×D₁₇₂	1	2	yes	—
761	C₂²	C₂²×D₄×D₄₃	1	1	yes	characteristic
762	C₄	—	2	4	no	—
763	C₄	—	2	1	no	—
764	C₄	—	2	1	no	—
765	C₄	—	2	1	no	—
766	C₄	—	4	2	no	—
767	C₄	—	4	2	no	—
768	C₄	—	86	4	no	—
769	C₄	—	172	4	no	—
770	C₄	D₄×D₁₇₂	1	2	yes	—
771	C₄	#14583696	1	2	yes	complemented
772	C₄	C₂³×D₁₇₂	1	1	yes	characteristic
773	C₄	C₂×#13063371	1	1	yes	characteristic
774	C₂	—	2	2	no	—
775	C₂	—	4	4	no	—
776	C₂	—	344	4	no	—
777	C₂	—	172	4	no	—
778	C₂	C₂×D₄×D₁₇₂	1	1	yes	characteristic
779	C₂	C₂×#14583696	1	1	yes	characteristic
780	C₂	#19149364	1	1	yes	characteristic

	subgroup	G/H
center	C₂×C₄	C₂×D₄×D₄₃
commutator, cosocle	C₂×C₄×C₄₃	C₂⁵
Frattini	C₂×C₄	C₂⁴×D₄₃
Fitting	C₄×#135×C₄₃	C₂
socle	C₂²×C₄₃	C₂³×D₄
hypercenter	C₄×#135	D₄₃
hypocenter	C₄₃	#61038
LCS	G ▷ C₂×C₄×C₄₃ ▷ C₂×C₄₃ ▷ C₄₃
UCS	C₁ ◁ C₂×C₄ ◁ C₂×C₄² ◁ C₄×#135

Complements

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

N	H ≅ G/N	type
1. C₂×#14583696	C₂	semidirect
2. #41×D₁₇₂	C₂	semidirect
3. #19146262	C₂	semidirect
4. #19146251	C₂	semidirect
5. #19146242	C₂	semidirect
6. #19146228	C₂	semidirect
7. #19146216	C₂	semidirect
8. #19146205	C₂	semidirect
9. #19146196	C₂	semidirect
10. #19145023	C₂	semidirect
11. #19144205	C₂	semidirect
12. #19144050	C₂	semidirect
13. #19143815	C₂	semidirect
14. C₂×#14582978	C₂	semidirect
15. C₄×#135×C₄₃	C₂	semidirect
16. C₂×#41×D₄₃	C₂²	semidirect
18. C₂×#13063357	C₂²	semidirect
19. C₂×#13063354	C₂²	semidirect
20. C₂×#13063352	C₂²	semidirect
21. C₂×#13063349	C₂²	semidirect
22. C₂×#13063347	C₂²	semidirect
23. C₂×#13063347	C₂²	semidirect
24. C₂×#13063345	C₂²	semidirect
25. C₂²×#10621872	C₂²	semidirect
27. Q₈×D₁₇₂	C₂²	semidirect
28. #14583561	C₂²	semidirect
32. #14583544	C₂²	semidirect
34. D₄×D₁₇₂	C₂²	semidirect
36. #14583449	C₂²	semidirect
38. #14583411	C₂²	semidirect
41. #14583283	C₂²	semidirect
42. #14583283	C₂²	semidirect
43. #14583279	C₂²	semidirect
44. #14583276	C₂²	semidirect
45. #14583272	C₂²	semidirect
46. #14583158	C₂²	semidirect
47. #14583153	C₂²	semidirect
48. #14583146	C₂²	semidirect
49. #14583146	C₂²	semidirect
50. #14583121	C₂²	semidirect
51. #14583114	C₂²	semidirect
52. #14583109	C₂²	semidirect
53. #14583104	C₂²	semidirect
54. #14583099	C₂²	semidirect
55. #14583094	C₂²	semidirect
56. #14583064	C₂²	semidirect
57. #14583062	C₂²	semidirect
58. #14583056	C₂²	semidirect
59. #14583051	C₂²	semidirect
60. #14583047	C₂²	semidirect
61. #14583045	C₂²	semidirect
62. #14583039	C₂²	semidirect
63. #14583034	C₂²	semidirect
64. #14582978	C₂²	semidirect
65. #14582978	C₂²	semidirect
66. #14582978	C₂²	semidirect
67. #14582978	C₂²	semidirect
68. C₂×C₄⋊(C₄₃⋊C₈)	C₂²	semidirect
69. #14582893	C₂²	semidirect
70. C₂×(C₂×D₄₃)⋊C₈	C₂²	semidirect
72. C₄×#41×C₄₃	C₂²	semidirect
73. C₄×Q₁₆×C₄₃	C₂²	semidirect
74. C₄×Q₁₆×C₄₃	C₂²	semidirect
75. C₄×SD₁₆×C₄₃	C₂²	semidirect
76. C₄×SD₁₆×C₄₃	C₂²	semidirect
77. C₄×D₈×C₄₃	C₂²	semidirect
78. C₄×D₈×C₄₃	C₂²	semidirect
79. C₄₃×#427	C₂²	semidirect
80. C₄₃×#416	C₂²	semidirect
81. C₂×C₄×C₈×C₄₃	C₂²	semidirect
166. #135×C₄₃	D₄	semidirect
196. #41×C₄₃	C₂×D₄	semidirect
244. Q₁₆×C₄₃	C₂×D₄	semidirect
245. SD₁₆×C₄₃	C₂×D₄	semidirect
246. D₈×C₄₃	C₂×D₄	semidirect
248. C₂×C₈×C₄₃	C₂×D₄	semidirect
379. C₄×C₄₃	#575	semidirect
397. C₄×#135	D₄₃	semidirect
430. C₄×#41	C₂×D₄₃	semidirect
456. C₄×Q₁₆	C₂×D₄₃	semidirect
457. C₄×Q₁₆	C₂×D₄₃	semidirect
458. C₄×SD₁₆	C₂×D₄₃	semidirect
459. C₄×SD₁₆	C₂×D₄₃	semidirect
460. C₄×D₈	C₂×D₄₃	semidirect
461. C₄×D₈	C₂×D₄₃	semidirect
466. #427	C₂×D₄₃	semidirect
469. #416	C₂×D₄₃	semidirect
471. C₂×C₄×C₈	C₂×D₄₃	semidirect
472. C₄₃	#61038	semidirect
495. #135	D₁₇₂	semidirect
595. #41	C₂×D₁₇₂	semidirect
638. Q₁₆	C₂×D₁₇₂	semidirect
643. SD₁₆	C₂×D₁₇₂	semidirect
647. D₈	C₂×D₁₇₂	semidirect
653. C₂×C₈	C₂×D₁₇₂	semidirect
771. C₄	#14583696	semidirect

Maximal subgroups

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

subgroup	index
C₂×#14583696	2
#41×D₁₇₂	2
#19146262	2
#19146251	2
#19146242	2
#19146228	2
#19146216	2
#19146205	2
#19146196	2
#19145023	2
#19144205	2
#19144050	2
#19143815	2
C₂×#14582978	2
C₄×#135×C₄₃	2
#61038	43