Subgroups — SD₁₆×#10621898 #25978013

Order 11008.

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×#10621898	C₂	1	1	yes	maximal, characteristic, complemented
2	D₄×#10621898	C₂	1	1	yes	maximal, characteristic
3	#19147574	C₂	1	1	yes	maximal, characteristic, complemented
4	SD₁₆×Dic₈₆	C₂	1	1	yes	maximal, characteristic, complemented
5	#19147264	C₂	1	1	yes	maximal, characteristic, complemented
6	#19147235	C₂	1	1	yes	maximal, characteristic, complemented
7	#19146954	C₂	1	1	yes	maximal, characteristic, complemented
8	#19146948	C₂	1	2	yes	maximal, complemented
9	#19146462	C₂	1	1	yes	maximal, characteristic, complemented
10	#19146456	C₂	1	2	yes	maximal, complemented
11	#19146421	C₂	1	1	yes	maximal, characteristic, complemented
12	#19146415	C₂	1	2	yes	maximal, complemented
13	SD₁₆×D₁₇₂	C₂	1	1	yes	maximal, characteristic, complemented
14	SD₁₆×C₂²⋊D₄₃	C₂	1	2	yes	maximal, complemented
15	#19145154	C₂	1	1	yes	maximal, characteristic, complemented
16	#19145151	C₂	1	2	yes	maximal, complemented
17	#19144626	C₂	1	1	yes	maximal, characteristic, complemented
18	#19144624	C₂	1	2	yes	maximal, complemented
19	#19144603	C₂	1	1	yes	maximal, characteristic, complemented
20	#19144601	C₂	1	2	yes	maximal, complemented
21	C₈×#10621898	C₂	1	1	yes	maximal, characteristic, complemented
22	C₄×SD₁₆×D₄₃	C₂	1	2	yes	maximal, complemented
23	C₂×C₄×SD₁₆×C₄₃	C₂	1	1	yes	maximal, characteristic, complemented
24	C₂²×#10621898	—	2	1	no	—
25	C₂×SD₁₆×D₄₃	C₂²	1	2	yes	—
26	Q₈×Dic₈₆	C₂²	1	1	yes	characteristic, complemented
27	#14583627	—	2	1	no	—
28	#14583627	C₂²	1	1	yes	characteristic, complemented
29	#14583609	—	2	1	no	—
30	#14583609	C₂²	1	1	yes	characteristic, complemented
31	#14583604	—	2	2	no	—
32	#14583604	C₂²	1	2	yes	complemented
33	#14583570	C₂²	1	1	yes	characteristic
34	Q₈×D₁₇₂	C₂²	1	1	yes	characteristic, complemented
35	D₄×Dic₈₆	C₂²	1	1	yes	characteristic
36	Q₈×C₂²⋊D₄₃	C₂²	1	2	yes	complemented
37	#14583558	—	2	1	no	—
38	#14583554	C₂²	1	1	yes	characteristic
39	#14583550	C₂²	1	2	yes	—
40	#14583545	—	2	1	no	—
41	#14583539	—	2	2	no	—
42	D₄×D₁₇₂	C₂²	1	1	yes	characteristic
43	D₄×C₂²⋊D₄₃	C₂²	1	2	yes	—
44	#14583456	—	2	1	no	—
45	#14583456	C₂²	1	1	yes	characteristic, complemented
46	#14583453	—	2	2	no	—
47	#14583453	C₂²	1	2	yes	complemented
48	#14583449	C₂²	1	1	yes	characteristic
49	#14583446	C₂²	1	2	yes	—
50	#14583410	—	2	1	no	—
51	#14583408	—	2	2	no	—
52	C₄×#10621898	—	2	1	no	—
53	C₄×#10621898	C₂²	1	1	yes	characteristic
54	C₄×Q₈×D₄₃	C₂²	1	2	yes	complemented
55	C₄×D₄×D₄₃	C₂²	1	2	yes	—
56	#14583297	C₂²	1	1	yes	characteristic, complemented
57	#14583296	C₂²	1	2	yes	complemented
58	#14583272	C₂²	1	1	yes	characteristic, complemented
59	#14583270	C₂²	1	2	yes	complemented
60	#14583250	C₂²	1	1	yes	characteristic, complemented
61	#14583248	C₂²	1	2	yes	complemented
62	#14583246	C₂²	1	1	yes	characteristic, complemented
63	#14583244	C₂²	1	2	yes	complemented
64	#14583231	C₂²	1	2	yes	complemented
65	#14583229	C₂²	1	2	yes	complemented
66	#14583228	C₂²	1	2	yes	complemented
67	#14583219	C₂²	1	2	yes	complemented
68	#14583217	C₂²	1	2	yes	complemented
69	#14583216	C₂²	1	2	yes	complemented
70	#14583189	C₂²	1	1	yes	characteristic
71	#14583189	C₂²	1	1	yes	characteristic, complemented
72	#14583188	C₂²	1	2	yes	complemented
73	#14583187	C₂²	1	2	yes	—
74	#14583184	C₂²	1	1	yes	characteristic, complemented
75	#14583184	C₂²	1	1	yes	characteristic, complemented
76	#14583183	C₂²	1	2	yes	complemented
77	#14583182	C₂²	1	2	yes	complemented
78	#14583131	C₂²	1	2	yes	complemented
79	#14583129	C₂²	1	2	yes	complemented
80	#14583128	C₂²	1	2	yes	complemented
81	#14583128	C₂²	1	2	yes	complemented
82	#14583127	C₂²	1	2	yes	complemented
83	#14583125	C₂²	1	2	yes	complemented
84	#14583104	C₂²	1	1	yes	characteristic
85	#14583104	C₂²	1	1	yes	characteristic, complemented
86	#14583103	C₂²	1	2	yes	complemented
87	#14583102	C₂²	1	2	yes	—
88	#14583099	C₂²	1	1	yes	characteristic, complemented
89	#14583099	C₂²	1	1	yes	characteristic, complemented
90	#14583098	C₂²	1	2	yes	complemented
91	#14583097	C₂²	1	2	yes	complemented
92	#14583051	C₂²	1	2	yes	—
93	#14583050	C₂²	1	2	yes	—
94	#14583048	C₂²	1	2	yes	—
95	#14583039	C₂²	1	2	yes	complemented
96	#14583038	C₂²	1	2	yes	complemented
97	#14583036	C₂²	1	2	yes	complemented
98	C₈×Dic₈₆	C₂²	1	1	yes	characteristic, complemented
99	C₈×Dic₈₆	C₂²	1	1	yes	characteristic, complemented
100	#14582990	C₂²	1	2	yes	—
101	C₄×#10621873	C₂²	1	2	yes	complemented
102	C₄×#10621873	C₂²	1	2	yes	complemented
103	SD₁₆×Dic₄₃	C₂²	1	2	yes	—
104	C₄×#10621884	C₂²	1	2	yes	complemented
105	C₄×#10621884	C₂²	1	2	yes	complemented
106	#14582986	C₂²	1	2	yes	complemented
107	C₄×#10621883	C₂²	1	2	yes	—
108	C₄×#10621883	C₂²	1	2	yes	complemented
109	#14582984	C₂²	1	2	yes	complemented
110	C₈×D₁₇₂	C₂²	1	1	yes	characteristic, complemented
111	C₈×D₁₇₂	C₂²	1	1	yes	characteristic, complemented
112	C₈×C₂²⋊D₄₃	C₂²	1	2	yes	complemented
113	C₈×C₂²⋊D₄₃	C₂²	1	2	yes	complemented
114	#14582952	C₂²	1	1	yes	characteristic, complemented
115	#14582950	C₂²	1	2	yes	complemented
116	#106×D₄₃	C₂²	1	2	yes	complemented
117	#103×D₄₃	C₂²	1	2	yes	complemented
118	#102×D₄₃	C₂²	1	2	yes	—
119	C₄×C₈×D₄₃	C₂²	1	2	yes	complemented
120	C₂²×SD₁₆×C₄₃	C₂²	1	1	yes	characteristic
121	C₂×C₄×Q₈×C₄₃	C₂²	1	1	yes	characteristic, complemented
122	C₂×C₄×D₄×C₄₃	C₂²	1	1	yes	characteristic
123	C₄×SD₁₆×C₄₃	C₂²	1	1	yes	characteristic
124	C₄×SD₁₆×C₄₃	C₂²	1	1	yes	characteristic
125	C₄×SD₁₆×C₄₃	C₂²	1	1	yes	characteristic
126	C₄×SD₁₆×C₄₃	C₂²	1	1	yes	characteristic
127	C₄×SD₁₆×C₄₃	C₂²	1	1	yes	characteristic, complemented
128	C₄×SD₁₆×C₄₃	C₂²	1	1	yes	characteristic, complemented
129	C₄×SD₁₆×C₄₃	C₂²	1	1	yes	characteristic, complemented
130	C₄×SD₁₆×C₄₃	C₂²	1	1	yes	characteristic, complemented
131	C₂×#106×C₄₃	C₂²	1	1	yes	characteristic, complemented
132	C₂×#103×C₄₃	C₂²	1	1	yes	characteristic, complemented
133	C₂×#102×C₄₃	C₂²	1	1	yes	characteristic
134	C₂×C₄×C₈×C₄₃	C₂²	1	1	yes	characteristic, complemented
135	C₂×#10621898	—	2	1	no	—
136	C₂×#10621898	—	2	2	no	—
137	C₂×#10621898	—	2	1	no	—
138	C₂×#10621898	—	2	2	no	—
139	C₂×#10621898	—	2	1	no	—
140	C₂×#10621898	—	4	8	no	—
141	C₂×#10621898	D₄	1	1	yes	characteristic
142	C₂²×Dic₈₆	—	2	1	no	—
143	C₂×Q₈×D₄₃	C₂³	1	2	yes	—
144	C₂²×D₁₇₂	—	2	1	no	—
145	C₂²×C₂²⋊D₄₃	—	2	2	no	—
146	C₂×D₄×D₄₃	C₂³	1	2	yes	—
147	C₂²×C₄×D₄₃	—	2	2	no	—
148	C₂×#10621873	C₂³	1	2	yes	—
149	C₂×#10621873	C₂³	1	2	yes	—
150	C₂×#10621883	C₂³	1	2	yes	—
151	C₂×#10621883	C₂³	1	2	yes	—
152	C₂×#10621884	C₂³	1	2	yes	—
153	C₂×#10621884	C₂³	1	2	yes	—
154	SD₁₆×D₄₃	—	2	8	no	—
155	C₂×C₈×D₄₃	C₂³	1	2	yes	—
156	C₂×C₈×D₄₃	C₂³	1	2	yes	—
157	#13063325	—	2	1	no	—
158	#13063325	—	2	1	no	—
159	#13063325	C₂³	1	1	yes	characteristic
160	#13063325	C₂³	1	1	yes	characteristic
161	#13063325	C₂³	1	1	yes	characteristic
162	#13063324	—	2	2	no	—
163	#13063324	C₂³	1	2	yes	—
164	#13063324	C₂³	1	2	yes	—
165	#13063323	—	2	2	no	—
166	#13063323	C₂³	1	2	yes	—
167	#13063322	C₂³	1	1	yes	characteristic
168	#13063321	C₂³	1	2	yes	—
169	#13063317	—	2	1	no	—
170	#13063317	—	2	1	no	—
171	#13063317	—	2	1	no	—
172	#13063315	—	2	2	no	—
173	#13063315	—	2	2	no	—
174	#13063315	—	2	2	no	—
175	#13063313	—	2	1	no	—
176	#13063311	—	2	2	no	—
177	#13063310	—	2	2	no	—
178	#13063308	—	2	2	no	—
179	#13063307	—	2	2	no	—
180	#13063305	—	2	2	no	—
181	#13063305	C₂³	1	2	yes	—
182	#13063304	—	2	1	no	—
183	#13063304	—	2	2	no	—
184	#13063304	—	2	2	no	—
185	#13063304	—	2	1	no	—
186	#13063304	—	2	1	no	—
187	#13063304	C₂³	1	2	yes	—
188	#13063303	—	2	2	no	—
189	#13063303	—	2	2	no	—
190	#13063303	—	2	2	no	—
191	#13063303	—	2	2	no	—
192	#13063302	—	2	2	no	—
193	#13063301	—	2	2	no	—
194	#13063301	C₂³	1	2	yes	—
195	#13063300	C₂³	1	2	yes	—
196	#13063299	—	2	1	no	—
197	#13063299	—	2	1	no	—
198	#13063299	—	2	1	no	—
199	#13063299	C₂³	1	2	yes	—
200	#13063298	—	2	2	no	—
201	#13063298	—	2	2	no	—
202	#13063297	—	2	2	no	—
203	#13063296	C₂³	1	2	yes	—
204	#13063295	—	2	2	no	—
205	#13063294	—	2	2	no	—
206	#13063293	—	2	2	no	—
207	Q₈×Dic₄₃	C₂³	1	2	yes	—
208	C₄×Dic₈₆	—	2	1	no	—
209	C₄×Dic₈₆	—	2	1	no	—
210	C₄×Dic₈₆	—	2	1	no	—
211	C₄×Dic₈₆	—	2	2	no	—
212	C₄×Dic₈₆	—	2	2	no	—
213	C₄×Dic₈₆	D₄	1	1	yes	characteristic
214	C₄×Dic₈₆	C₂³	1	2	yes	—
215	C₄×Dic₈₆	C₂³	1	1	yes	characteristic
216	#13063290	—	2	2	no	—
217	#13063290	C₂³	1	2	yes	—
218	C₄×D₁₇₂	—	2	1	no	—
219	C₄×D₁₇₂	—	2	1	no	—
220	C₄×D₁₇₂	—	2	1	no	—
221	C₄×D₁₇₂	D₄	1	1	yes	characteristic
222	C₄×D₁₇₂	C₂³	1	1	yes	characteristic
223	C₄×D₁₇₂	C₂³	1	2	yes	—
224	D₄×Dic₄₃	C₂³	1	2	yes	—
225	#13063287	C₂³	1	2	yes	—
226	C₄×C₂²⋊D₄₃	—	2	2	no	—
227	C₄×C₂²⋊D₄₃	—	2	2	no	—
228	C₄×C₂²⋊D₄₃	—	2	2	no	—
229	C₄×C₂²⋊D₄₃	—	2	2	no	—
230	C₄×C₂²⋊D₄₃	D₄	1	2	yes	—
231	C₄×C₂²⋊D₄₃	C₂³	1	2	yes	—
232	(C₂²⋊D₄₃)⋊C₄	—	2	2	no	—
233	#13063284	—	2	1	no	—
234	#13063284	D₄	1	1	yes	characteristic
235	#13063282	—	2	2	no	—
236	#13063282	D₄	1	2	yes	—
237	C₄⋊C₄×D₄₃	—	2	2	no	—
238	C₄⋊C₄×D₄₃	C₂³	1	2	yes	—
239	C₄⋊C₄×D₄₃	C₂³	1	2	yes	—
240	C₂²⋊C₄×D₄₃	—	2	2	no	—
241	C₄²×D₄₃	—	2	2	no	—
242	C₄²×D₄₃	C₂³	1	2	yes	—
243	#13063257	C₂³	1	2	yes	—
244	#13063257	C₂³	1	2	yes	—
245	#13063256	C₂³	1	2	yes	—
246	#13063256	C₂³	1	2	yes	—
247	#13063256	C₂³	1	2	yes	—
248	#13063256	C₂³	1	2	yes	—
249	C₄⋊(C₄₃⋊C₈)	C₂³	1	1	yes	characteristic
250	C₄⋊(C₄₃⋊C₈)	C₂³	1	1	yes	characteristic
251	Dic₄₃⋊C₈	C₂³	1	2	yes	—
252	Dic₄₃⋊C₈	C₂³	1	2	yes	—
253	#13063250	C₂³	1	2	yes	—
254	#13063250	C₂³	1	2	yes	—
255	#13063249	C₂³	1	2	yes	—
256	#13063249	C₂³	1	2	yes	—
257	#13063248	C₂³	1	2	yes	—
258	#13063248	C₂³	1	2	yes	—
259	#13063247	C₂³	1	2	yes	—
260	#13063247	C₂³	1	2	yes	—
261	#13063246	C₂³	1	2	yes	—
262	#13063246	C₂³	1	2	yes	—
263	#13063245	C₂³	1	2	yes	—
264	#13063245	C₂³	1	2	yes	—
265	C₂²⋊(C₄₃⋊C₈)	C₂³	1	2	yes	—
266	(C₂×D₄₃)⋊C₈	C₂³	1	2	yes	—
267	(C₂×D₄₃)⋊C₈	C₂³	1	2	yes	—
268	C₄×C₄₃⋊C₈	C₂³	1	2	yes	—
269	C₈×Dic₄₃	C₂³	1	2	yes	—
270	C₈×Dic₄₃	C₂³	1	2	yes	—
271	C₂²×Q₈×C₄₃	C₂³	1	1	yes	characteristic
272	C₂²×D₄×C₄₃	C₂³	1	1	yes	characteristic
273	C₂³×C₄×C₄₃	—	2	1	no	—
274	C₂×SD₁₆×C₄₃	—	2	4	no	—
275	C₂×SD₁₆×C₄₃	C₂³	1	1	yes	characteristic
276	C₂×SD₁₆×C₄₃	C₂³	1	1	yes	characteristic
277	C₂×SD₁₆×C₄₃	C₂³	1	1	yes	characteristic
278	C₂×SD₁₆×C₄₃	C₂³	1	1	yes	characteristic
279	C₂²×C₈×C₄₃	C₂³	1	1	yes	characteristic
280	C₂²×C₈×C₄₃	C₂³	1	1	yes	characteristic
281	C₄×Q₈×C₄₃	—	2	1	no	—
282	C₄×Q₈×C₄₃	—	2	1	no	—
283	C₄×Q₈×C₄₃	C₂³	1	1	yes	characteristic
284	C₄×Q₈×C₄₃	C₂³	1	1	yes	characteristic
285	C₄×Q₈×C₄₃	C₂³	1	1	yes	characteristic
286	C₄×Q₈×C₄₃	C₂³	1	1	yes	characteristic
287	C₄×D₄×C₄₃	—	2	1	no	—
288	C₄×D₄×C₄₃	—	2	1	no	—
289	C₄×D₄×C₄₃	C₂³	1	1	yes	characteristic
290	C₄×D₄×C₄₃	C₂³	1	1	yes	characteristic
291	C₄×D₄×C₄₃	C₂³	1	1	yes	characteristic
292	C₄×D₄×C₄₃	C₂³	1	1	yes	characteristic
293	C₂×C₄⋊C₄×C₄₃	—	2	1	no	—
294	C₂×C₄⋊C₄×C₄₃	C₂³	1	1	yes	characteristic
295	C₂×C₄⋊C₄×C₄₃	C₂³	1	1	yes	characteristic
296	C₂×C₂²⋊C₄×C₄₃	—	2	1	no	—
297	C₂×C₄²×C₄₃	—	2	1	no	—
298	C₂×C₄²×C₄₃	C₂³	1	1	yes	characteristic
299	#106×C₄₃	C₂³	1	1	yes	characteristic
300	#106×C₄₃	C₂³	1	1	yes	characteristic
301	#106×C₄₃	C₂³	1	1	yes	characteristic
302	#106×C₄₃	C₂³	1	1	yes	characteristic
303	#103×C₄₃	C₂³	1	1	yes	characteristic
304	#103×C₄₃	C₂³	1	1	yes	characteristic
305	#103×C₄₃	C₂³	1	1	yes	characteristic
306	#103×C₄₃	C₂³	1	1	yes	characteristic
307	#102×C₄₃	C₂³	1	1	yes	characteristic
308	#102×C₄₃	C₂³	1	1	yes	characteristic
309	#102×C₄₃	C₂³	1	1	yes	characteristic
310	#102×C₄₃	C₂³	1	1	yes	characteristic
311	C₄×C₈×C₄₃	C₂³	1	1	yes	characteristic
312	C₄×C₈×C₄₃	C₂³	1	1	yes	characteristic
313	C₄×C₈×C₄₃	C₂³	1	1	yes	characteristic
314	C₄×C₈×C₄₃	C₂³	1	1	yes	characteristic
315	C₂⁴×C₄₃	—	2	1	no	—
316	C₂³×D₄₃	—	2	2	no	—
317	C₂×Q₈×C₄₃	—	2	1	no	—
318	C₂×Q₈×C₄₃	—	2	2	no	—
319	C₂×Q₈×C₄₃	—	4	1	no	—
320	C₂×Q₈×C₄₃	C₂⁴	1	1	yes	characteristic
321	C₂×Q₈×C₄₃	C₂⁴	1	1	yes	characteristic
322	C₂×D₄×C₄₃	—	2	1	no	—
323	C₂×D₄×C₄₃	—	2	2	no	—
324	C₂×D₄×C₄₃	—	4	1	no	—
325	C₂×D₄×C₄₃	C₂⁴	1	1	yes	characteristic
326	C₂×D₄×C₄₃	C₂⁴	1	1	yes	characteristic
327	C₂²×C₄×C₄₃	—	2	1	no	—
328	C₂²×C₄×C₄₃	—	2	1	no	—
329	C₂²×C₄×C₄₃	—	2	1	no	—
330	C₂²×C₄×C₄₃	—	2	1	no	—
331	C₂²×C₄×C₄₃	—	2	1	no	—
332	C₂²×C₄×C₄₃	—	2	1	no	—
333	C₂²×C₄×C₄₃	—	2	1	no	—
334	C₂²×C₄×C₄₃	—	4	4	no	—
335	C₂²×C₄×C₄₃	C₂×D₄	1	1	yes	characteristic
336	C₂²×C₄×C₄₃	C₂×D₄	1	1	yes	characteristic
337	C₂²×C₄×C₄₃	C₂⁴	1	1	yes	characteristic
338	C₂×C₂²⋊D₄₃	—	2	2	no	—
339	C₂×C₂²⋊D₄₃	—	2	2	no	—
340	C₂×C₂²⋊D₄₃	—	2	2	no	—
341	C₂×C₂²⋊D₄₃	—	2	2	no	—
342	C₂×C₂²⋊D₄₃	—	2	2	no	—
343	C₂×C₂²⋊D₄₃	—	4	8	no	—
344	C₂×C₂²⋊D₄₃	C₂×D₄	1	2	yes	—
345	C₂²×Dic₄₃	—	2	2	no	—
346	Q₈×D₄₃	—	2	4	no	—
347	Q₈×D₄₃	—	4	2	no	—
348	D₄×D₄₃	—	2	4	no	—
349	D₄×D₄₃	—	4	2	no	—
350	#10621898	—	4	4	no	—
351	#10621898	—	4	8	no	—
352	#10621898	—	4	4	no	—
353	#10621898	—	4	8	no	—
354	#10621898	—	4	4	no	—
355	#10621898	SD₁₆	1	8	yes	direct product factor
356	C₂×D₁₇₂	—	2	1	no	—
357	C₂×D₁₇₂	—	2	1	no	—
358	C₂×D₁₇₂	—	2	2	no	—
359	C₂×D₁₇₂	—	4	4	no	—
360	C₂×D₁₇₂	C₂×D₄	1	1	yes	characteristic
361	C₂×D₁₇₂	C₂⁴	1	2	yes	—
362	C₂×C₄×D₄₃	—	2	2	no	—
363	C₂×C₄×D₄₃	—	2	2	no	—
364	C₂×C₄×D₄₃	—	2	2	no	—
365	C₂×C₄×D₄₃	—	2	2	no	—
366	C₂×C₄×D₄₃	—	2	2	no	—
367	C₂×C₄×D₄₃	—	4	8	no	—
368	C₂×C₄×D₄₃	C₂×D₄	1	2	yes	—
369	C₂×C₄×D₄₃	C₂×D₄	1	2	yes	—
370	C₂×C₄×D₄₃	C₂⁴	1	2	yes	—
371	C₂×Dic₈₆	—	2	1	no	—
372	C₂×Dic₈₆	—	2	2	no	—
373	C₂×Dic₈₆	—	2	2	no	—
374	C₂×Dic₈₆	—	2	1	no	—
375	C₂×Dic₈₆	—	2	2	no	—
376	C₂×Dic₈₆	—	4	4	no	—
377	C₂×Dic₈₆	C₂×D₄	1	1	yes	characteristic
378	C₂×Dic₈₆	C₂⁴	1	2	yes	—
379	SD₁₆×C₄₃	—	2	2	no	—
380	SD₁₆×C₄₃	—	2	2	no	—
381	SD₁₆×C₄₃	—	2	2	no	—
382	SD₁₆×C₄₃	#41	1	4	yes	complemented
383	C₂×C₈×C₄₃	—	2	2	no	—
384	C₂×C₈×C₄₃	—	4	1	no	—
385	C₂×C₈×C₄₃	C₂⁴	1	1	yes	characteristic
386	C₂×C₈×C₄₃	C₂⁴	1	1	yes	characteristic
387	C₂×C₈×C₄₃	C₂⁴	1	1	yes	characteristic
388	C₂×C₈×C₄₃	C₂⁴	1	1	yes	characteristic
389	C₄⋊C₄×C₄₃	—	2	1	no	—
390	C₄⋊C₄×C₄₃	—	2	1	no	—
391	C₄⋊C₄×C₄₃	—	2	1	no	—
392	C₄⋊C₄×C₄₃	—	2	1	no	—
393	C₄⋊C₄×C₄₃	—	2	1	no	—
394	C₄⋊C₄×C₄₃	—	2	1	no	—
395	C₄⋊C₄×C₄₃	C₂⁴	1	1	yes	characteristic
396	C₄⋊C₄×C₄₃	C₂⁴	1	1	yes	characteristic
397	C₄⋊C₄×C₄₃	C₂⁴	1	1	yes	characteristic
398	C₄⋊C₄×C₄₃	C₂⁴	1	1	yes	characteristic
399	C₂²⋊C₄×C₄₃	—	2	1	no	—
400	C₂²⋊C₄×C₄₃	—	2	1	no	—
401	C₂²⋊C₄×C₄₃	—	2	1	no	—
402	C₂²⋊C₄×C₄₃	—	2	1	no	—
403	C₄²×C₄₃	—	2	1	no	—
404	C₄²×C₄₃	—	2	1	no	—
405	C₄²×C₄₃	—	2	1	no	—
406	C₄²×C₄₃	—	2	1	no	—
407	C₄²×C₄₃	C₂×D₄	1	1	yes	characteristic
408	C₄²×C₄₃	C₂×D₄	1	1	yes	characteristic
409	C₄²×C₄₃	C₂⁴	1	1	yes	characteristic
410	C₄²×C₄₃	C₂⁴	1	1	yes	characteristic
411	C₂²⋊Dic₄₃	—	2	2	no	—
412	C₂²⋊Dic₄₃	—	2	2	no	—
413	C₂²⋊Dic₄₃	—	2	2	no	—
414	C₂²⋊Dic₄₃	C₂×D₄	1	2	yes	—
415	#10621884	—	2	4	no	—
416	#10621884	—	4	2	no	—
417	#10621883	—	2	4	no	—
418	#10621883	—	4	2	no	—
419	(C₂×D₄₃)⋊C₄	—	2	2	no	—
420	(C₂×D₄₃)⋊C₄	—	2	2	no	—
421	(C₂×D₄₃)⋊C₄	—	2	2	no	—
422	(C₂×D₄₃)⋊C₄	—	2	2	no	—
423	(C₂×D₄₃)⋊C₄	—	2	2	no	—
424	(C₂×D₄₃)⋊C₄	—	2	2	no	—
425	(C₂×D₄₃)⋊C₄	C₂×D₄	1	2	yes	—
426	(C₂×D₄₃)⋊C₄	C₂×D₄	1	2	yes	—
427	C₄⋊Dic₄₃	—	2	1	no	—
428	C₄⋊Dic₄₃	—	2	1	no	—
429	C₄⋊Dic₄₃	—	2	1	no	—
430	C₄⋊Dic₄₃	—	2	1	no	—
431	C₄⋊Dic₄₃	—	2	2	no	—
432	C₄⋊Dic₄₃	—	2	2	no	—
433	C₄⋊Dic₄₃	C₂×D₄	1	1	yes	characteristic
434	C₄⋊Dic₄₃	C₂×D₄	1	1	yes	characteristic
435	C₄⋊Dic₄₃	C₂⁴	1	2	yes	—
436	C₄⋊Dic₄₃	C₂⁴	1	2	yes	—
437	Dic₄₃⋊C₄	—	2	2	no	—
438	Dic₄₃⋊C₄	—	2	2	no	—
439	Dic₄₃⋊C₄	—	2	2	no	—
440	Dic₄₃⋊C₄	—	2	2	no	—
441	Dic₄₃⋊C₄	—	2	2	no	—
442	Dic₄₃⋊C₄	—	2	2	no	—
443	Dic₄₃⋊C₄	—	2	2	no	—
444	Dic₄₃⋊C₄	—	2	2	no	—
445	Dic₄₃⋊C₄	—	2	2	no	—
446	Dic₄₃⋊C₄	—	2	2	no	—
447	Dic₄₃⋊C₄	C₂×D₄	1	2	yes	—
448	Dic₄₃⋊C₄	C₂×D₄	1	2	yes	—
449	C₄×Dic₄₃	—	2	2	no	—
450	C₄×Dic₄₃	—	2	2	no	—
451	C₄×Dic₄₃	—	2	2	no	—
452	C₄×Dic₄₃	C₂×D₄	1	2	yes	—
453	C₄×Dic₄₃	C₂×D₄	1	2	yes	—
454	C₄×Dic₄₃	C₂⁴	1	2	yes	—
455	C₂×C₄₃⋊C₈	C₂⁴	1	2	yes	—
456	C₂×C₄₃⋊C₈	C₂⁴	1	2	yes	—
457	#10621873	—	2	4	no	—
458	#10621873	—	4	2	no	—
459	C₈×D₄₃	—	2	4	no	—
460	C₈×D₄₃	—	4	2	no	—
461	C₂³×C₄₃	—	2	1	no	—
462	C₂³×C₄₃	—	2	1	no	—
463	C₂³×C₄₃	—	4	2	no	—
464	C₂³×C₄₃	—	4	2	no	—
465	C₂³×C₄₃	—	8	1	no	—
466	C₂³×C₄₃	C₂²×D₄	1	1	yes	characteristic
467	C₂²×D₄₃	—	2	2	no	—
468	C₂²×D₄₃	—	4	4	no	—
469	C₂²×D₄₃	—	4	4	no	—
470	C₂²×D₄₃	—	8	2	no	—
471	C₂²×D₄₃	C₂²×D₄	1	2	yes	—
472	Q₈×C₄₃	—	2	1	no	—
473	Q₈×C₄₃	—	2	1	no	—
474	Q₈×C₄₃	—	2	1	no	—
475	Q₈×C₄₃	—	4	2	no	—
476	Q₈×C₄₃	C₂×#41	1	2	yes	complemented
477	D₄×C₄₃	—	2	1	no	—
478	D₄×C₄₃	—	2	1	no	—
479	D₄×C₄₃	—	2	1	no	—
480	D₄×C₄₃	—	4	2	no	—
481	D₄×C₄₃	C₂×#41	1	2	yes	—
482	C₂×C₄×C₄₃	—	2	1	no	—
483	C₂×C₄×C₄₃	—	2	1	no	—
484	C₂×C₄×C₄₃	—	2	1	no	—
485	C₂×C₄×C₄₃	—	2	1	no	—
486	C₂×C₄×C₄₃	—	2	1	no	—
487	C₂×C₄×C₄₃	—	2	1	no	—
488	C₂×C₄×C₄₃	—	2	1	no	—
489	C₂×C₄×C₄₃	—	2	1	no	—
490	C₂×C₄×C₄₃	—	4	1	no	—
491	C₂×C₄×C₄₃	—	4	2	no	—
492	C₂×C₄×C₄₃	—	4	2	no	—
493	C₂×C₄×C₄₃	—	4	2	no	—
494	C₂×C₄×C₄₃	—	4	2	no	—
495	C₂×C₄×C₄₃	—	4	2	no	—
496	C₂×C₄×C₄₃	—	4	2	no	—
497	C₂×C₄×C₄₃	—	8	1	no	—
498	C₂×C₄×C₄₃	C₂×SD₁₆	1	4	yes	complemented
499	C₂×C₄×C₄₃	C₂²×D₄	1	1	yes	characteristic
500	C₂×C₄×C₄₃	C₂²×D₄	1	1	yes	characteristic
501	C₂×C₄×C₄₃	C₂²×D₄	1	1	yes	characteristic
502	C₂×C₄×C₄₃	C₂²×D₄	1	1	yes	characteristic
503	C₂×C₄×C₄₃	C₂²×D₄	1	1	yes	characteristic
504	C₂×C₄×C₄₃	C₂⁵	1	1	yes	characteristic
505	C₂²⋊D₄₃	—	4	4	no	—
506	C₂²⋊D₄₃	—	4	4	no	—
507	C₂²⋊D₄₃	—	4	4	no	—
508	C₂²⋊D₄₃	—	4	4	no	—
509	C₂²⋊D₄₃	—	8	2	no	—
510	C₂²⋊D₄₃	C₂×SD₁₆	1	8	yes	complemented
511	C₂×Dic₄₃	—	2	2	no	—
512	C₂×Dic₄₃	—	2	2	no	—
513	C₂×Dic₄₃	—	2	2	no	—
514	C₂×Dic₄₃	—	4	4	no	—
515	C₂×Dic₄₃	C₂²×D₄	1	2	yes	—
516	C₂×Dic₄₃	C₂²×D₄	1	2	yes	—
517	C₂×Dic₄₃	C₂²×D₄	1	2	yes	—
518	D₁₇₂	—	2	2	no	—
519	D₁₇₂	—	2	2	no	—
520	D₁₇₂	—	4	4	no	—
521	D₁₇₂	—	4	2	no	—
522	D₁₇₂	—	8	1	no	—
523	D₁₇₂	C₂×SD₁₆	1	4	yes	complemented
524	C₄×D₄₃	—	2	2	no	—
525	C₄×D₄₃	—	2	2	no	—
526	C₄×D₄₃	—	4	2	no	—
527	C₄×D₄₃	—	4	4	no	—
528	C₄×D₄₃	—	4	4	no	—
529	C₄×D₄₃	—	4	4	no	—
530	C₄×D₄₃	—	4	4	no	—
531	C₄×D₄₃	—	8	2	no	—
532	C₄×D₄₃	C₂×SD₁₆	1	8	yes	complemented
533	Dic₈₆	—	2	2	no	—
534	Dic₈₆	—	2	2	no	—
535	Dic₈₆	—	4	4	no	—
536	Dic₈₆	—	4	2	no	—
537	Dic₈₆	—	4	4	no	—
538	Dic₈₆	—	8	2	no	—
539	Dic₈₆	—	8	1	no	—
540	Dic₈₆	C₂×SD₁₆	1	4	yes	complemented
541	C₈×C₄₃	—	2	1	no	—
542	C₈×C₄₃	—	2	1	no	—
543	C₈×C₄₃	—	2	1	no	—
544	C₈×C₄₃	C₂×#41	1	2	yes	complemented
545	C₄₃⋊C₈	—	2	2	no	—
546	C₄₃⋊C₈	—	2	2	no	—
547	SD₁₆×#41	—	43	1	no	maximal, Sylow
548	C₂²×C₄₃	—	2	1	no	—
549	C₂²×C₄₃	—	2	1	no	—
550	C₂²×C₄₃	—	2	2	no	—
551	C₂²×C₄₃	—	4	1	no	—
552	C₂²×C₄₃	—	4	1	no	—
553	C₂²×C₄₃	—	4	1	no	—
554	C₂²×C₄₃	—	4	1	no	—
555	C₂²×C₄₃	—	4	1	no	—
556	C₂²×C₄₃	—	8	4	no	—
557	C₂²×C₄₃	C₂²×SD₁₆	1	2	yes	—
558	C₂²×C₄₃	C₂³×D₄	1	1	yes	characteristic
559	C₂×D₄₃	—	2	2	no	—
560	C₂×D₄₃	—	2	2	no	—
561	C₂×D₄₃	—	4	2	no	—
562	C₂×D₄₃	—	4	2	no	—
563	C₂×D₄₃	—	4	2	no	—
564	C₂×D₄₃	—	8	8	no	—
565	C₂×D₄₃	C₂²×SD₁₆	1	4	yes	—
566	C₄×C₄₃	—	2	1	no	—
567	C₄×C₄₃	—	2	1	no	—
568	C₄×C₄₃	—	2	2	no	—
569	C₄×C₄₃	—	2	1	no	—
570	C₄×C₄₃	—	4	1	no	—
571	C₄×C₄₃	—	4	1	no	—
572	C₄×C₄₃	—	4	1	no	—
573	C₄×C₄₃	—	4	1	no	—
574	C₄×C₄₃	—	4	1	no	—
575	C₄×C₄₃	C₂²×SD₁₆	1	2	yes	—
576	C₄×C₄₃	C₂²×SD₁₆	1	2	yes	—
577	C₄×C₄₃	C₂²×#41	1	1	yes	characteristic
578	C₄×C₄₃	#585	1	1	yes	characteristic
579	Dic₄₃	—	2	2	no	—
580	Dic₄₃	—	2	2	no	—
581	Dic₄₃	—	4	2	no	—
582	Dic₄₃	—	4	2	no	—
583	Dic₄₃	—	4	2	no	—
584	Dic₄₃	C₂²×SD₁₆	1	4	yes	—
585	Q₈×#41	—	43	1	no	—
586	D₄×#41	—	43	1	no	—
587	#3392	—	43	1	no	—
588	Q₈×SD₁₆	—	43	1	no	—
589	#3362	—	43	1	no	—
590	#3359	—	43	1	no	—
591	#3335	—	43	1	no	—
592	#3335	—	43	2	no	—
593	#3298	—	43	1	no	—
594	#3298	—	43	2	no	—
595	#3295	—	43	1	no	—
596	#3295	—	43	2	no	—
597	D₄×SD₁₆	—	43	1	no	—
598	D₄×SD₁₆	—	43	2	no	—
599	#3167	—	43	2	no	—
600	#3167	—	43	1	no	—
601	#3103	—	43	2	no	—
602	#3103	—	43	1	no	—
603	#3101	—	43	2	no	—
604	#3101	—	43	1	no	—
605	C₈×#41	—	43	1	no	—
606	C₂×C₄×SD₁₆	—	43	2	no	—
607	C₂×C₄×SD₁₆	D₄₃	1	1	yes	characteristic, complemented
608	C₂×C₄₃	—	2	2	no	—
609	C₂×C₄₃	—	4	2	no	—
610	C₂×C₄₃	—	8	1	no	—
611	C₂×C₄₃	D₄×#41	1	1	yes	characteristic
612	C₂×C₄₃	C₂³×SD₁₆	1	1	yes	characteristic
613	C₂×C₄₃	#3584	1	1	yes	characteristic
614	D₄₃	—	2	4	no	—
615	D₄₃	—	8	2	no	—
616	C₂²×#41	—	86	1	no	—
617	C₂²×SD₁₆	—	43	2	no	—
618	C₂²×SD₁₆	C₂×D₄₃	1	1	yes	characteristic
619	Q₈²	—	43	1	no	—
620	#557	—	43	1	no	—
621	#557	—	86	1	no	—
622	#554	—	43	1	no	—
623	#554	—	43	2	no	—
624	#554	—	86	2	no	—
625	#554	—	86	1	no	—
626	#550	—	43	1	no	—
627	D₄×Q₈	—	43	1	no	—
628	D₄×Q₈	—	43	2	no	—
629	D₄×Q₈	—	43	1	no	—
630	#548	—	86	1	no	—
631	#547	—	43	1	no	—
632	#547	—	43	2	no	—
633	#546	—	86	2	no	—
634	#546	—	86	1	no	—
635	D₄²	—	43	2	no	—
636	D₄²	—	43	1	no	—
637	#533	—	43	2	no	—
638	#533	—	43	1	no	—
639	#533	—	86	1	no	—
640	#533	—	86	2	no	—
641	#532	—	43	2	no	—
642	#532	—	43	1	no	—
643	#525	—	86	2	no	—
644	#525	—	86	1	no	—
645	C₄×#41	—	43	1	no	—
646	C₄×#41	—	86	1	no	—
647	C₂×C₄×Q₈	—	43	2	no	—
648	C₂×C₄×Q₈	C₂×D₄₃	1	1	yes	characteristic, complemented
649	C₂×C₄×D₄	—	43	2	no	—
650	C₂×C₄×D₄	C₂×D₄₃	1	1	yes	characteristic
651	#498	—	43	2	no	—
652	#498	—	43	1	no	—
653	#492	—	43	2	no	—
654	#492	—	43	1	no	—
655	#487	—	43	2	no	—
656	#487	—	43	1	no	—
657	#486	—	43	2	no	—
658	#486	—	43	1	no	—
659	#483	—	43	2	no	—
660	#483	—	43	2	no	—
661	#483	—	43	2	no	—
662	#481	—	43	2	no	—
663	#481	—	43	2	no	—
664	#481	—	43	2	no	—
665	#476	—	43	1	no	—
666	#476	—	43	1	no	—
667	#476	—	43	2	no	—
668	#476	—	43	2	no	—
669	#475	—	43	1	no	—
670	#475	—	43	1	no	—
671	#475	—	43	2	no	—
672	#475	—	43	2	no	—
673	#465	—	43	2	no	—
674	#465	—	43	2	no	—
675	#465	—	43	2	no	—
676	#465	—	43	2	no	—
677	#465	—	43	2	no	—
678	#465	—	43	2	no	—
679	#461	—	43	2	no	—
680	#461	—	43	1	no	—
681	#461	—	43	1	no	—
682	#461	—	43	2	no	—
683	#460	—	43	2	no	—
684	#460	—	43	1	no	—
685	#460	—	43	1	no	—
686	#460	—	43	2	no	—
687	#450	—	43	2	no	—
688	#450	—	43	2	no	—
689	#450	—	43	2	no	—
690	#448	—	43	2	no	—
691	#448	—	43	2	no	—
692	#448	—	43	2	no	—
693	C₈×Q₈	—	43	1	no	—
694	C₈×Q₈	—	43	1	no	—
695	C₄×SD₁₆	—	43	2	no	—
696	C₄×SD₁₆	—	43	2	no	—
697	C₄×SD₁₆	—	43	2	no	—
698	C₄×SD₁₆	—	43	2	no	—
699	C₄×SD₁₆	—	43	2	no	—
700	C₄×SD₁₆	—	43	2	no	—
701	C₄×SD₁₆	—	43	2	no	—
702	C₄×SD₁₆	—	43	2	no	—
703	C₄×SD₁₆	—	43	2	no	—
704	C₄×SD₁₆	—	43	2	no	—
705	C₄×SD₁₆	C₂×D₄₃	1	1	yes	characteristic
706	C₄×SD₁₆	C₂×D₄₃	1	1	yes	characteristic
707	C₄×SD₁₆	C₂×D₄₃	1	1	yes	characteristic
708	C₄×SD₁₆	C₂×D₄₃	1	1	yes	characteristic
709	C₄×SD₁₆	C₂×D₄₃	1	1	yes	characteristic, complemented
710	C₄×SD₁₆	C₂×D₄₃	1	1	yes	characteristic, complemented
711	C₄×SD₁₆	C₂×D₄₃	1	1	yes	characteristic, complemented
712	C₄×SD₁₆	C₂×D₄₃	1	1	yes	characteristic, complemented
713	C₈×D₄	—	43	2	no	—
714	C₈×D₄	—	43	2	no	—
715	C₈×D₄	—	43	1	no	—
716	C₈×D₄	—	43	1	no	—
717	#431	—	43	1	no	—
718	#431	—	43	2	no	—
719	C₂×#106	—	43	2	no	—
720	C₂×#106	C₂×D₄₃	1	1	yes	characteristic, complemented
721	C₂×#103	—	43	2	no	—
722	C₂×#103	C₂×D₄₃	1	1	yes	characteristic, complemented
723	C₂×#102	—	43	2	no	—
724	C₂×#102	C₂×D₄₃	1	1	yes	characteristic
725	C₂×C₄×C₈	—	43	2	no	—
726	C₂×C₄×C₈	C₂×D₄₃	1	1	yes	characteristic, complemented
727	C₄₃	SD₁₆×#41	1	1	yes	characteristic, complemented, Sylow
728	C₂×#41	—	43	1	no	—
729	C₂×#41	—	86	2	no	—
730	C₂×#41	—	86	2	no	—
731	C₂×#41	—	86	1	no	—
732	C₂×#41	—	86	1	no	—
733	C₂×#41	—	86	1	no	—
734	C₂×#41	—	172	8	no	—
735	C₂²×Q₈	—	43	2	no	—
736	C₂²×Q₈	—	86	1	no	—
737	C₂²×Q₈	C₂²×D₄₃	1	1	yes	characteristic
738	C₂²×D₄	—	43	2	no	—
739	C₂²×D₄	—	86	1	no	—
740	C₂²×D₄	—	86	2	no	—
741	C₂²×D₄	C₂²×D₄₃	1	1	yes	characteristic
742	C₂³×C₄	—	2	1	no	—
743	C₂³×C₄	—	86	2	no	—
744	C₂×SD₁₆	—	2	4	no	—
745	C₂×SD₁₆	—	43	2	no	—
746	C₂×SD₁₆	—	43	2	no	—
747	C₂×SD₁₆	—	43	2	no	—
748	C₂×SD₁₆	—	43	2	no	—
749	C₂×SD₁₆	—	43	2	no	—
750	C₂×SD₁₆	—	43	2	no	—
751	C₂×SD₁₆	—	86	8	no	—
752	C₂×SD₁₆	C₂²×D₄₃	1	1	yes	characteristic
753	C₂×SD₁₆	C₂²×D₄₃	1	1	yes	characteristic
754	C₂×SD₁₆	C₂²×D₄₃	1	1	yes	characteristic
755	C₂×SD₁₆	C₂²×D₄₃	1	1	yes	characteristic
756	C₂²×C₈	—	43	2	no	—
757	C₂²×C₈	—	43	2	no	—
758	C₂²×C₈	C₂²×D₄₃	1	1	yes	characteristic
759	C₂²×C₈	C₂²×D₄₃	1	1	yes	characteristic
760	C₄⋊Q₈	—	43	2	no	—
761	C₄⋊Q₈	—	43	2	no	—
762	C₄⋊Q₈	—	43	2	no	—
763	C₄⋊Q₈	—	43	1	no	—
764	C₄⋊Q₈	—	43	1	no	—
765	C₄⋊Q₈	—	43	1	no	—
766	C₄⋊Q₈	—	86	1	no	—
767	C₄⋊Q₈	—	86	1	no	—
768	C₄⋊Q₈	—	86	2	no	—
769	C₄⋊Q₈	—	86	2	no	—
770	#127	—	43	2	no	—
771	#127	—	43	1	no	—
772	#125	—	86	1	no	—
773	#125	—	86	1	no	—
774	#125	—	86	2	no	—
775	#125	—	86	2	no	—
776	#125	—	86	2	no	—
777	#125	—	86	1	no	—
778	#124	—	86	2	no	—
779	#124	—	86	1	no	—
780	#123	—	86	2	no	—
781	#123	—	86	2	no	—
782	#123	—	86	2	no	—
783	C₂²⋊Q₈	—	43	2	no	—
784	C₂²⋊Q₈	—	43	2	no	—
785	C₂²⋊Q₈	—	43	2	no	—
786	C₂²⋊Q₈	—	86	2	no	—
787	C₂²⋊Q₈	—	86	2	no	—
788	C₂²⋊Q₈	—	86	2	no	—
789	C₂²⋊Q₈	—	86	2	no	—
790	C₂²⋊Q₈	—	86	2	no	—
791	C₂²⋊Q₈	—	86	2	no	—
792	C₂²⋊Q₈	—	86	2	no	—
793	C₂²⋊Q₈	—	86	2	no	—
794	C₂²⋊Q₈	—	86	2	no	—
795	C₂²⋊Q₈	—	86	1	no	—
796	C₂²⋊Q₈	—	86	1	no	—
797	C₂²⋊Q₈	—	86	1	no	—
798	#121	—	43	2	no	—
799	#121	—	43	2	no	—
800	#121	—	43	2	no	—
801	#121	—	86	2	no	—
802	#121	—	86	2	no	—
803	#121	—	86	1	no	—
804	#121	—	86	1	no	—
805	#121	—	86	2	no	—
806	#121	—	86	1	no	—
807	#120	—	86	2	no	—
808	#120	—	86	2	no	—
809	#120	—	86	2	no	—
810	C₄×Q₈	—	2	1	no	—
811	C₄×Q₈	—	2	1	no	—
812	C₄×Q₈	—	43	1	no	—
813	C₄×Q₈	—	43	1	no	—
814	C₄×Q₈	—	43	2	no	—
815	C₄×Q₈	—	43	2	no	—
816	C₄×Q₈	—	43	2	no	—
817	C₄×Q₈	—	86	2	no	—
818	C₄×Q₈	—	86	2	no	—
819	C₄×Q₈	—	86	1	no	—
820	C₄×Q₈	—	86	1	no	—
821	C₄×Q₈	—	86	2	no	—
822	C₄×Q₈	—	86	1	no	—
823	C₄×Q₈	C₂²×D₄₃	1	1	yes	characteristic
824	C₄×Q₈	C₂²×D₄₃	1	1	yes	characteristic
825	C₄×Q₈	C₂²×D₄₃	1	1	yes	characteristic
826	C₄×Q₈	C₂²×D₄₃	1	1	yes	characteristic
827	C₄×D₄	—	2	1	no	—
828	C₄×D₄	—	2	1	no	—
829	C₄×D₄	—	43	2	no	—
830	C₄×D₄	—	43	2	no	—
831	C₄×D₄	—	43	2	no	—
832	C₄×D₄	—	43	2	no	—
833	C₄×D₄	—	43	1	no	—
834	C₄×D₄	—	43	1	no	—
835	C₄×D₄	—	43	2	no	—
836	C₄×D₄	—	86	1	no	—
837	C₄×D₄	—	86	1	no	—
838	C₄×D₄	—	86	2	no	—
839	C₄×D₄	—	86	2	no	—
840	C₄×D₄	—	86	2	no	—
841	C₄×D₄	—	86	2	no	—
842	C₄×D₄	—	86	2	no	—
843	C₄×D₄	—	86	1	no	—
844	C₄×D₄	C₂²×D₄₃	1	1	yes	characteristic
845	C₄×D₄	C₂²×D₄₃	1	1	yes	characteristic
846	C₄×D₄	C₂²×D₄₃	1	1	yes	characteristic
847	C₄×D₄	C₂²×D₄₃	1	1	yes	characteristic
848	#117	—	43	1	no	—
849	#117	—	43	2	no	—
850	#117	—	86	2	no	—
851	#117	—	86	1	no	—
852	C₂×C₄⋊C₄	—	2	1	no	—
853	C₂×C₄⋊C₄	—	43	2	no	—
854	C₂×C₄⋊C₄	—	43	2	no	—
855	C₂×C₄⋊C₄	—	86	2	no	—
856	C₂×C₄⋊C₄	C₂²×D₄₃	1	1	yes	characteristic
857	C₂×C₄⋊C₄	C₂²×D₄₃	1	1	yes	characteristic
858	C₂×C₂²⋊C₄	—	2	1	no	—
859	C₂×C₂²⋊C₄	—	86	2	no	—
860	C₂×C₄²	—	2	1	no	—
861	C₂×C₄²	—	43	2	no	—
862	C₂×C₄²	—	86	2	no	—
863	C₂×C₄²	C₂²×D₄₃	1	1	yes	characteristic
864	#106	—	43	2	no	—
865	#106	—	43	2	no	—
866	#106	—	43	2	no	—
867	#106	—	43	2	no	—
868	#106	—	43	2	no	—
869	#106	—	43	2	no	—
870	#106	C₂²×D₄₃	1	1	yes	characteristic
871	#106	C₂²×D₄₃	1	1	yes	characteristic
872	#106	C₂²×D₄₃	1	1	yes	characteristic
873	#106	C₂²×D₄₃	1	1	yes	characteristic
874	C₄⋊C₈	—	43	2	no	—
875	C₄⋊C₈	—	43	2	no	—
876	C₄⋊C₈	—	43	1	no	—
877	C₄⋊C₈	—	43	1	no	—
878	#103	—	43	2	no	—
879	#103	—	43	2	no	—
880	#103	—	43	2	no	—
881	#103	—	43	2	no	—
882	#103	—	43	2	no	—
883	#103	—	43	2	no	—
884	#103	C₂²×D₄₃	1	1	yes	characteristic
885	#103	C₂²×D₄₃	1	1	yes	characteristic
886	#103	C₂²×D₄₃	1	1	yes	characteristic
887	#103	C₂²×D₄₃	1	1	yes	characteristic
888	#102	—	43	2	no	—
889	#102	—	43	2	no	—
890	#102	—	43	2	no	—
891	#102	—	43	2	no	—
892	#102	—	43	2	no	—
893	#102	—	43	2	no	—
894	#102	C₂²×D₄₃	1	1	yes	characteristic
895	#102	C₂²×D₄₃	1	1	yes	characteristic
896	#102	C₂²×D₄₃	1	1	yes	characteristic
897	#102	C₂²×D₄₃	1	1	yes	characteristic
898	C₂²⋊C₈	—	43	2	no	—
899	C₂²⋊C₈	—	43	2	no	—
900	C₂²⋊C₈	—	43	2	no	—
901	C₄×C₈	—	43	2	no	—
902	C₄×C₈	—	43	2	no	—
903	C₄×C₈	—	43	2	no	—
904	C₄×C₈	C₂²×D₄₃	1	1	yes	characteristic
905	C₄×C₈	C₂²×D₄₃	1	1	yes	characteristic
906	C₄×C₈	C₂²×D₄₃	1	1	yes	characteristic
907	C₄×C₈	C₂²×D₄₃	1	1	yes	characteristic
908	C₂⁴	—	2	1	no	—
909	C₂⁴	—	86	2	no	—
910	#41	—	43	8	no	—
911	#41	—	172	8	no	—
912	#41	—	172	8	no	—
913	#41	—	172	4	no	—
914	#41	—	172	4	no	—
915	#41	—	172	4	no	—
916	C₂×Q₈	—	2	1	no	—
917	C₂×Q₈	—	2	2	no	—
918	C₂×Q₈	—	4	1	no	—
919	C₂×Q₈	—	43	1	no	—
920	C₂×Q₈	—	43	2	no	—
921	C₂×Q₈	—	86	2	no	—
922	C₂×Q₈	—	86	2	no	—
923	C₂×Q₈	—	86	2	no	—
924	C₂×Q₈	—	86	1	no	—
925	C₂×Q₈	—	86	1	no	—
926	C₂×Q₈	—	86	4	no	—
927	C₂×Q₈	—	172	4	no	—
928	C₂×Q₈	—	172	2	no	—
929	C₂×Q₈	C₂³×D₄₃	1	1	yes	characteristic
930	C₂×Q₈	C₂³×D₄₃	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	—	43	2	no	—
935	C₂×D₄	—	43	1	no	—
936	C₂×D₄	—	43	2	no	—
937	C₂×D₄	—	86	2	no	—
938	C₂×D₄	—	86	2	no	—
939	C₂×D₄	—	86	2	no	—
940	C₂×D₄	—	86	2	no	—
941	C₂×D₄	—	86	4	no	—
942	C₂×D₄	—	86	2	no	—
943	C₂×D₄	—	86	2	no	—
944	C₂×D₄	—	86	1	no	—
945	C₂×D₄	—	86	1	no	—
946	C₂×D₄	—	172	4	no	—
947	C₂×D₄	—	172	2	no	—
948	C₂×D₄	—	172	8	no	—
949	C₂×D₄	C₂³×D₄₃	1	1	yes	characteristic
950	C₂×D₄	C₂³×D₄₃	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	—	43	2	no	—
960	C₂²×C₄	—	43	2	no	—
961	C₂²×C₄	—	43	2	no	—
962	C₂²×C₄	—	86	2	no	—
963	C₂²×C₄	—	86	2	no	—
964	C₂²×C₄	—	86	2	no	—
965	C₂²×C₄	—	86	2	no	—
966	C₂²×C₄	—	86	2	no	—
967	C₂²×C₄	—	86	2	no	—
968	C₂²×C₄	—	172	8	no	—
969	C₂²×C₄	D₄×D₄₃	1	1	yes	characteristic
970	C₂²×C₄	D₄×D₄₃	1	1	yes	characteristic
971	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
972	SD₁₆	—	2	2	no	—
973	SD₁₆	—	2	2	no	—
974	SD₁₆	—	2	2	no	—
975	SD₁₆	—	86	4	no	—
976	SD₁₆	—	86	4	no	—
977	SD₁₆	—	86	4	no	—
978	SD₁₆	—	172	2	no	—
979	SD₁₆	—	172	2	no	—
980	SD₁₆	—	172	2	no	—
981	SD₁₆	#10621898	1	4	yes	direct product factor
982	C₂×C₈	—	2	2	no	—
983	C₂×C₈	—	4	1	no	—
984	C₂×C₈	—	43	2	no	—
985	C₂×C₈	—	43	2	no	—
986	C₂×C₈	—	86	4	no	—
987	C₂×C₈	—	172	2	no	—
988	C₂×C₈	C₂³×D₄₃	1	1	yes	characteristic
989	C₂×C₈	C₂³×D₄₃	1	1	yes	characteristic
990	C₂×C₈	C₂³×D₄₃	1	1	yes	characteristic
991	C₂×C₈	C₂³×D₄₃	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	—	43	2	no	—
999	C₄⋊C₄	—	43	2	no	—
1000	C₄⋊C₄	—	43	1	no	—
1001	C₄⋊C₄	—	43	1	no	—
1002	C₄⋊C₄	—	43	2	no	—
1003	C₄⋊C₄	—	43	2	no	—
1004	C₄⋊C₄	—	86	2	no	—
1005	C₄⋊C₄	—	86	2	no	—
1006	C₄⋊C₄	—	86	2	no	—
1007	C₄⋊C₄	—	86	2	no	—
1008	C₄⋊C₄	—	86	2	no	—
1009	C₄⋊C₄	—	86	2	no	—
1010	C₄⋊C₄	—	86	2	no	—
1011	C₄⋊C₄	—	86	2	no	—
1012	C₄⋊C₄	—	86	2	no	—
1013	C₄⋊C₄	—	86	2	no	—
1014	C₄⋊C₄	—	86	2	no	—
1015	C₄⋊C₄	—	86	1	no	—
1016	C₄⋊C₄	—	86	1	no	—
1017	C₄⋊C₄	—	86	1	no	—
1018	C₄⋊C₄	—	86	2	no	—
1019	C₄⋊C₄	—	86	1	no	—
1020	C₄⋊C₄	C₂³×D₄₃	1	1	yes	characteristic
1021	C₄⋊C₄	C₂³×D₄₃	1	1	yes	characteristic
1022	C₄⋊C₄	C₂³×D₄₃	1	1	yes	characteristic
1023	C₄⋊C₄	C₂³×D₄₃	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	—	43	2	no	—
1029	C₂²⋊C₄	—	43	2	no	—
1030	C₂²⋊C₄	—	43	2	no	—
1031	C₂²⋊C₄	—	86	2	no	—
1032	C₂²⋊C₄	—	86	2	no	—
1033	C₂²⋊C₄	—	86	2	no	—
1034	C₂²⋊C₄	—	86	2	no	—
1035	C₂²⋊C₄	—	86	2	no	—
1036	C₂²⋊C₄	—	86	2	no	—
1037	C₂²⋊C₄	—	86	2	no	—
1038	C₂²⋊C₄	—	86	2	no	—
1039	C₂²⋊C₄	—	86	2	no	—
1040	C₄²	—	2	1	no	—
1041	C₄²	—	2	1	no	—
1042	C₄²	—	2	1	no	—
1043	C₄²	—	2	1	no	—
1044	C₄²	—	43	2	no	—
1045	C₄²	—	43	2	no	—
1046	C₄²	—	43	2	no	—
1047	C₄²	—	86	2	no	—
1048	C₄²	—	86	2	no	—
1049	C₄²	—	86	2	no	—
1050	C₄²	D₄×D₄₃	1	1	yes	characteristic
1051	C₄²	D₄×D₄₃	1	1	yes	characteristic
1052	C₄²	C₂³×D₄₃	1	1	yes	characteristic
1053	C₄²	C₂³×D₄₃	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	—	43	2	no	—
1060	C₂³	—	86	2	no	—
1061	C₂³	—	344	2	no	—
1062	C₂³	—	172	4	no	—
1063	C₂³	—	172	4	no	—
1064	C₂³	C₂×D₄×D₄₃	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	—	43	4	no	—
1070	Q₈	—	86	2	no	—
1071	Q₈	—	86	2	no	—
1072	Q₈	—	344	1	no	—
1073	Q₈	—	344	2	no	—
1074	Q₈	—	172	4	no	—
1075	Q₈	—	172	4	no	—
1076	Q₈	—	172	2	no	—
1077	Q₈	C₂×#10621898	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	—	43	8	no	—
1083	D₄	—	43	4	no	—
1084	D₄	—	86	2	no	—
1085	D₄	—	86	2	no	—
1086	D₄	—	344	1	no	—
1087	D₄	—	344	2	no	—
1088	D₄	—	172	4	no	—
1089	D₄	—	172	4	no	—
1090	D₄	—	172	4	no	—
1091	D₄	—	172	4	no	—
1092	D₄	—	172	4	no	—
1093	D₄	—	172	2	no	—
1094	D₄	C₂×#10621898	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	—	43	2	no	—
1112	C₂×C₄	—	43	8	no	—
1113	C₂×C₄	—	43	2	no	—
1114	C₂×C₄	—	43	2	no	—
1115	C₂×C₄	—	86	2	no	—
1116	C₂×C₄	—	86	2	no	—
1117	C₂×C₄	—	86	2	no	—
1118	C₂×C₄	—	86	2	no	—
1119	C₂×C₄	—	86	2	no	—
1120	C₂×C₄	—	344	2	no	—
1121	C₂×C₄	—	172	2	no	—
1122	C₂×C₄	—	172	4	no	—
1123	C₂×C₄	—	172	4	no	—
1124	C₂×C₄	—	172	4	no	—
1125	C₂×C₄	—	172	4	no	—
1126	C₂×C₄	—	172	4	no	—
1127	C₂×C₄	SD₁₆×D₄₃	1	4	yes	complemented
1128	C₂×C₄	C₂×D₄×D₄₃	1	1	yes	characteristic
1129	C₂×C₄	C₂×D₄×D₄₃	1	1	yes	characteristic
1130	C₂×C₄	C₂×D₄×D₄₃	1	1	yes	characteristic
1131	C₂×C₄	C₂×D₄×D₄₃	1	1	yes	characteristic
1132	C₂×C₄	C₂×D₄×D₄₃	1	1	yes	characteristic
1133	C₂×C₄	C₂⁴×D₄₃	1	1	yes	characteristic
1134	C₈	—	2	1	no	—
1135	C₈	—	2	1	no	—
1136	C₈	—	2	1	no	—
1137	C₈	—	86	2	no	—
1138	C₈	—	86	2	no	—
1139	C₈	C₂×#10621898	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	—	43	4	no	—
1150	C₂²	—	86	2	no	—
1151	C₂²	—	86	2	no	—
1152	C₂²	—	344	8	no	—
1153	C₂²	—	172	2	no	—
1154	C₂²	—	172	2	no	—
1155	C₂²	—	172	2	no	—
1156	C₂²	C₂×SD₁₆×D₄₃	1	2	yes	—
1157	C₂²	C₂²×D₄×D₄₃	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	—	43	4	no	—
1168	C₄	—	86	2	no	—
1169	C₄	—	86	2	no	—
1170	C₄	—	172	2	no	—
1171	C₄	—	172	2	no	—
1172	C₄	—	172	2	no	—
1173	C₄	C₂×SD₁₆×D₄₃	1	2	yes	—
1174	C₄	C₂×SD₁₆×D₄₃	1	2	yes	—
1175	C₄	C₂²×#10621898	1	1	yes	characteristic
1176	C₄	#14583735	1	1	yes	characteristic
1177	C₂	—	2	2	no	—
1178	C₂	—	4	2	no	—
1179	C₂	—	8	1	no	—
1180	C₂	—	86	4	no	—
1181	C₂	—	344	2	no	—
1182	C₂	D₄×#10621898	1	1	yes	characteristic
1183	C₂	C₂²×SD₁₆×D₄₃	1	1	yes	characteristic
1184	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	C₂×C₄×SD₁₆×C₄₃	C₂
socle	C₂²×C₄₃	C₂³×D₄
prime radical	D₄×#10621898	C₂
hypercenter	C₂×C₄×SD₁₆	D₄₃
hypocenter	C₄₃	SD₁₆×#41
LCS	G ▷ C₂×C₄×C₄₃ ▷ C₂×C₄₃ ▷ C₄₃
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×#10621898	C₂	semidirect
3. #19147574	C₂	semidirect
4. SD₁₆×Dic₈₆	C₂	semidirect
5. #19147264	C₂	semidirect
6. #19147235	C₂	semidirect
7. #19146954	C₂	semidirect
8. #19146948	C₂	semidirect
9. #19146462	C₂	semidirect
10. #19146456	C₂	semidirect
11. #19146421	C₂	semidirect
12. #19146415	C₂	semidirect
13. SD₁₆×D₁₇₂	C₂	semidirect
14. SD₁₆×C₂²⋊D₄₃	C₂	semidirect
15. #19145154	C₂	semidirect
16. #19145151	C₂	semidirect
17. #19144626	C₂	semidirect
18. #19144624	C₂	semidirect
19. #19144603	C₂	semidirect
20. #19144601	C₂	semidirect
21. C₈×#10621898	C₂	semidirect
22. C₄×SD₁₆×D₄₃	C₂	semidirect
23. C₂×C₄×SD₁₆×C₄₃	C₂	semidirect
26. Q₈×Dic₈₆	C₂²	semidirect
28. #14583627	C₂²	semidirect
30. #14583609	C₂²	semidirect
32. #14583604	C₂²	semidirect
34. Q₈×D₁₇₂	C₂²	semidirect
36. Q₈×C₂²⋊D₄₃	C₂²	semidirect
45. #14583456	C₂²	semidirect
47. #14583453	C₂²	semidirect
54. C₄×Q₈×D₄₃	C₂²	semidirect
56. #14583297	C₂²	semidirect
57. #14583296	C₂²	semidirect
58. #14583272	C₂²	semidirect
59. #14583270	C₂²	semidirect
60. #14583250	C₂²	semidirect
61. #14583248	C₂²	semidirect
62. #14583246	C₂²	semidirect
63. #14583244	C₂²	semidirect
64. #14583231	C₂²	semidirect
65. #14583229	C₂²	semidirect
66. #14583228	C₂²	semidirect
67. #14583219	C₂²	semidirect
68. #14583217	C₂²	semidirect
69. #14583216	C₂²	semidirect
71. #14583189	C₂²	semidirect
72. #14583188	C₂²	semidirect
74. #14583184	C₂²	semidirect
75. #14583184	C₂²	semidirect
76. #14583183	C₂²	semidirect
77. #14583182	C₂²	semidirect
78. #14583131	C₂²	semidirect
79. #14583129	C₂²	semidirect
80. #14583128	C₂²	semidirect
81. #14583128	C₂²	semidirect
82. #14583127	C₂²	semidirect
83. #14583125	C₂²	semidirect
85. #14583104	C₂²	semidirect
86. #14583103	C₂²	semidirect
88. #14583099	C₂²	semidirect
89. #14583099	C₂²	semidirect
90. #14583098	C₂²	semidirect
91. #14583097	C₂²	semidirect
95. #14583039	C₂²	semidirect
96. #14583038	C₂²	semidirect
97. #14583036	C₂²	semidirect
98. C₈×Dic₈₆	C₂²	semidirect
99. C₈×Dic₈₆	C₂²	semidirect
101. C₄×#10621873	C₂²	semidirect
102. C₄×#10621873	C₂²	semidirect
104. C₄×#10621884	C₂²	semidirect
105. C₄×#10621884	C₂²	semidirect
106. #14582986	C₂²	semidirect
108. C₄×#10621883	C₂²	semidirect
109. #14582984	C₂²	semidirect
110. C₈×D₁₇₂	C₂²	semidirect
111. C₈×D₁₇₂	C₂²	semidirect
112. C₈×C₂²⋊D₄₃	C₂²	semidirect
113. C₈×C₂²⋊D₄₃	C₂²	semidirect
114. #14582952	C₂²	semidirect
115. #14582950	C₂²	semidirect
116. #106×D₄₃	C₂²	semidirect
117. #103×D₄₃	C₂²	semidirect
119. C₄×C₈×D₄₃	C₂²	semidirect
121. C₂×C₄×Q₈×C₄₃	C₂²	semidirect
127. C₄×SD₁₆×C₄₃	C₂²	semidirect
128. C₄×SD₁₆×C₄₃	C₂²	semidirect
129. C₄×SD₁₆×C₄₃	C₂²	semidirect
130. C₄×SD₁₆×C₄₃	C₂²	semidirect
131. C₂×#106×C₄₃	C₂²	semidirect
132. C₂×#103×C₄₃	C₂²	semidirect
134. C₂×C₄×C₈×C₄₃	C₂²	semidirect
355. #10621898	SD₁₆	direct (N × H)
382. SD₁₆×C₄₃	#41	semidirect
476. Q₈×C₄₃	C₂×#41	semidirect
498. C₂×C₄×C₄₃	C₂×SD₁₆	semidirect
510. C₂²⋊D₄₃	C₂×SD₁₆	semidirect
523. D₁₇₂	C₂×SD₁₆	semidirect
532. C₄×D₄₃	C₂×SD₁₆	semidirect
540. Dic₈₆	C₂×SD₁₆	semidirect
544. C₈×C₄₃	C₂×#41	semidirect
607. C₂×C₄×SD₁₆	D₄₃	semidirect
648. C₂×C₄×Q₈	C₂×D₄₃	semidirect
709. C₄×SD₁₆	C₂×D₄₃	semidirect
710. C₄×SD₁₆	C₂×D₄₃	semidirect
711. C₄×SD₁₆	C₂×D₄₃	semidirect
712. C₄×SD₁₆	C₂×D₄₃	semidirect
720. C₂×#106	C₂×D₄₃	semidirect
722. C₂×#103	C₂×D₄₃	semidirect
726. C₂×C₄×C₈	C₂×D₄₃	semidirect
727. C₄₃	SD₁₆×#41	semidirect
981. SD₁₆	#10621898	direct (N × H)
1077. Q₈	C₂×#10621898	semidirect
1127. C₂×C₄	SD₁₆×D₄₃	semidirect
1139. C₈	C₂×#10621898	semidirect

Maximal subgroups

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

subgroup	index
Q₈×#10621898	2
D₄×#10621898	2
#19147574	2
SD₁₆×Dic₈₆	2
#19147264	2
#19147235	2
#19146954	2
#19146948	2
#19146462	2
#19146456	2
#19146421	2
#19146415	2
SD₁₆×D₁₇₂	2
SD₁₆×C₂²⋊D₄₃	2
#19145154	2
#19145151	2
#19144626	2
#19144624	2
#19144603	2
#19144601	2
C₈×#10621898	2
C₄×SD₁₆×D₄₃	2
C₂×C₄×SD₁₆×C₄₃	2
SD₁₆×#41	43

Subgroups — SD16×#10621898 #25978013

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — SD₁₆×#10621898 #25978013