Subgroups — #19149192

Order 5504.

912 conjugacy classes of subgroups.

The subgroup lattice has 886 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₄₃⋊#564	C₂	1	1	yes	maximal, characteristic, complemented
2	C₄₃⋊#564	C₂	1	1	yes	maximal, characteristic, complemented
3	#14583651	C₂	1	1	yes	maximal, characteristic, complemented
4	#14583650	C₂	1	1	yes	maximal, characteristic, complemented
5	#14583627	C₂	1	1	yes	maximal, characteristic, complemented
6	#14583626	C₂	1	1	yes	maximal, characteristic, complemented
7	#14583608	C₂	1	1	yes	maximal, characteristic, complemented
8	#14583603	C₂	1	1	yes	maximal, characteristic, complemented
9	#14583586	C₂	1	1	yes	maximal, characteristic, complemented
10	#14583586	C₂	1	1	yes	maximal, characteristic, complemented
11	#14583585	C₂	1	1	yes	maximal, characteristic, complemented
12	#14583584	C₂	1	1	yes	maximal, characteristic, complemented
13	#14583582	C₂	1	1	yes	maximal, characteristic, complemented
14	#14583582	C₂	1	1	yes	maximal, characteristic, complemented
15	#14583582	C₂	1	1	yes	maximal, characteristic, complemented
16	#14583529	C₂	1	1	yes	maximal, characteristic, complemented
17	#14583528	C₂	1	1	yes	maximal, characteristic, complemented
18	#14583528	C₂	1	1	yes	maximal, characteristic, complemented
19	#14583527	C₂	1	1	yes	maximal, characteristic, complemented
20	#14583511	C₂	1	1	yes	maximal, characteristic, complemented
21	#14583508	C₂	1	1	yes	maximal, characteristic, complemented
22	#14583508	C₂	1	1	yes	maximal, characteristic, complemented
23	#14583507	C₂	1	1	yes	maximal, characteristic, complemented
24	#14583506	C₂	1	1	yes	maximal, characteristic, complemented
25	#14583506	C₂	1	1	yes	maximal, characteristic, complemented
26	#14583493	C₂	1	1	yes	maximal, characteristic
27	#14583491	C₂	1	1	yes	maximal, characteristic
28	#14583452	C₂	1	1	yes	maximal, characteristic, complemented
29	#14583426	C₂	1	1	yes	maximal, characteristic
30	C₂×#13063315	C₂	1	1	yes	maximal, characteristic, complemented
31	C₄₃×#552	C₂	1	1	yes	maximal, characteristic, complemented
32	#13063325	C₂²	1	1	yes	characteristic
33	#13063325	C₂²	1	1	yes	characteristic
34	#13063324	C₂²	1	1	yes	characteristic
35	#13063324	C₂²	1	1	yes	characteristic
36	#13063324	C₂²	1	1	yes	characteristic
37	#13063324	C₂²	1	1	yes	characteristic
38	#13063324	C₂²	1	1	yes	characteristic
39	#13063324	C₂²	1	1	yes	characteristic
40	#13063324	C₂²	1	1	yes	characteristic
41	#13063323	C₂²	1	1	yes	characteristic
42	#13063323	C₂²	1	1	yes	characteristic
43	#13063323	C₂²	1	1	yes	characteristic
44	#13063320	C₂²	1	1	yes	characteristic
45	#13063320	C₂²	1	1	yes	characteristic
46	#13063320	C₂²	1	1	yes	characteristic
47	#13063320	C₂²	1	1	yes	characteristic
48	#13063320	C₂²	1	1	yes	characteristic
49	#13063320	C₂²	1	1	yes	characteristic
50	#13063319	C₂²	1	1	yes	characteristic
51	#13063319	C₂²	1	1	yes	characteristic
52	#13063319	C₂²	1	1	yes	characteristic
53	#13063318	C₂²	1	1	yes	characteristic
54	#13063318	C₂²	1	1	yes	characteristic
55	#13063318	C₂²	1	1	yes	characteristic
56	#13063318	C₂²	1	1	yes	characteristic
57	#13063318	C₂²	1	1	yes	characteristic
58	#13063318	C₂²	1	1	yes	characteristic
59	#13063318	C₂²	1	1	yes	characteristic
60	#13063317	C₂²	1	1	yes	characteristic
61	#13063317	C₂²	1	1	yes	characteristic
62	#13063317	C₂²	1	1	yes	characteristic
63	#13063317	C₂²	1	1	yes	characteristic
64	#13063317	C₂²	1	1	yes	characteristic
65	#13063317	C₂²	1	1	yes	characteristic
66	#13063316	C₂²	1	1	yes	characteristic
67	#13063316	C₂²	1	1	yes	characteristic
68	#13063316	C₂²	1	1	yes	characteristic
69	#13063316	C₂²	1	1	yes	characteristic
70	#13063316	C₂²	1	1	yes	characteristic
71	#13063316	C₂²	1	1	yes	characteristic
72	#13063316	C₂²	1	1	yes	characteristic
73	#13063316	C₂²	1	1	yes	characteristic
74	#13063316	C₂²	1	1	yes	characteristic
75	#13063315	C₂²	1	1	yes	characteristic
76	#13063315	C₂²	1	1	yes	characteristic
77	#13063315	C₂²	1	1	yes	characteristic
78	#13063315	C₂²	1	1	yes	characteristic
79	#13063315	C₂²	1	1	yes	characteristic
80	#13063315	C₂²	1	1	yes	characteristic
81	#13063315	C₂²	1	1	yes	characteristic
82	#13063315	C₂²	1	1	yes	characteristic
83	#13063315	C₂²	1	1	yes	characteristic
84	#13063315	C₂²	1	1	yes	characteristic
85	#13063315	C₂²	1	1	yes	characteristic
86	#13063315	C₂²	1	1	yes	characteristic
87	#13063315	C₂²	1	1	yes	characteristic
88	#13063315	C₂²	1	1	yes	characteristic
89	#13063315	C₂²	1	1	yes	characteristic
90	#13063315	C₂²	1	1	yes	characteristic
91	#13063315	C₂²	1	1	yes	characteristic
92	#13063315	C₂²	1	1	yes	characteristic
93	#13063315	C₂²	1	1	yes	characteristic
94	#13063315	C₂²	1	1	yes	characteristic
95	#13063315	C₂²	1	1	yes	characteristic
96	#13063315	C₂²	1	1	yes	characteristic
97	#13063315	C₂²	1	1	yes	characteristic
98	#13063315	C₂²	1	1	yes	characteristic
99	#13063315	C₂²	1	1	yes	characteristic
100	#13063315	C₂²	1	1	yes	characteristic
101	#13063315	C₂²	1	1	yes	characteristic
102	#13063311	C₂²	1	1	yes	characteristic
103	#13063309	C₂²	1	1	yes	characteristic
104	#13063309	C₂²	1	1	yes	characteristic
105	#13063308	C₂²	1	1	yes	characteristic
106	#13063308	C₂²	1	1	yes	characteristic
107	#13063308	C₂²	1	1	yes	characteristic
108	#13063307	C₂²	1	1	yes	characteristic
109	#13063307	C₂²	1	1	yes	characteristic
110	#13063306	C₂²	1	1	yes	characteristic
111	#13063305	C₂²	1	1	yes	characteristic
112	#13063305	C₂²	1	1	yes	characteristic
113	#13063304	C₂²	1	1	yes	characteristic
114	#13063304	C₂²	1	1	yes	characteristic
115	#13063304	C₂²	1	1	yes	characteristic
116	#13063303	C₂²	1	1	yes	characteristic
117	#13063303	C₂²	1	1	yes	characteristic
118	#13063303	C₂²	1	1	yes	characteristic
119	#13063303	C₂²	1	1	yes	characteristic
120	#13063303	C₂²	1	1	yes	characteristic
121	#13063302	C₂²	1	1	yes	characteristic
122	#13063302	C₂²	1	1	yes	characteristic
123	#13063302	C₂²	1	1	yes	characteristic
124	#13063302	C₂²	1	1	yes	characteristic
125	#13063302	C₂²	1	1	yes	characteristic
126	#13063302	C₂²	1	1	yes	characteristic
127	#13063302	C₂²	1	1	yes	characteristic
128	#13063302	C₂²	1	1	yes	characteristic
129	#13063302	C₂²	1	1	yes	characteristic
130	#13063302	C₂²	1	1	yes	characteristic
131	#13063302	C₂²	1	1	yes	characteristic
132	#13063302	C₂²	1	1	yes	characteristic
133	#13063301	C₂²	1	1	yes	characteristic
134	#13063297	C₂²	1	1	yes	characteristic
135	C₄×Dic₈₆	C₂²	1	1	yes	characteristic
136	C₄×Dic₈₆	C₂²	1	1	yes	characteristic
137	C₄×Dic₈₆	C₂²	1	1	yes	characteristic
138	C₄×Dic₈₆	C₂²	1	1	yes	characteristic
139	C₄×Dic₈₆	C₂²	1	1	yes	characteristic
140	C₄×Dic₈₆	C₂²	1	1	yes	characteristic
141	C₄×Dic₈₆	C₂²	1	1	yes	characteristic
142	#13063290	C₂²	1	1	yes	characteristic
143	#13063290	C₂²	1	1	yes	characteristic
144	#13063290	C₂²	1	1	yes	characteristic
145	#13063290	C₂²	1	1	yes	characteristic
146	#13063290	C₂²	1	1	yes	characteristic
147	D₄×Dic₄₃	C₂²	1	1	yes	characteristic
148	D₄×Dic₄₃	C₂²	1	1	yes	characteristic
149	C₄×C₂²⋊D₄₃	C₂²	1	1	yes	characteristic
150	(C₂²⋊D₄₃)⋊C₄	C₂²	1	1	yes	characteristic
151	(C₂²⋊D₄₃)⋊C₄	C₂²	1	1	yes	characteristic
152	(C₂²⋊D₄₃)⋊C₄	C₂²	1	1	yes	characteristic
153	#13063284	C₂²	1	1	yes	characteristic
154	#13063284	C₂²	1	1	yes	characteristic
155	#13063283	C₂²	1	1	yes	characteristic
156	#13063283	C₂²	1	1	yes	characteristic
157	#13063282	C₂²	1	1	yes	characteristic
158	#13063282	C₂²	1	1	yes	characteristic
159	#13063281	C₂²	1	1	yes	characteristic
160	#13063281	C₂²	1	1	yes	characteristic
161	#13063281	C₂²	1	1	yes	characteristic
162	#13063281	C₂²	1	1	yes	characteristic
163	#13063281	C₂²	1	1	yes	characteristic
164	C₂×C₄⋊Dic₄₃	C₂²	1	1	yes	characteristic
165	C₂×Dic₄₃⋊C₄	C₂²	1	1	yes	characteristic
166	C₂×Dic₄₃⋊C₄	C₂²	1	1	yes	characteristic
167	C₂×Dic₄₃⋊C₄	C₂²	1	1	yes	characteristic
168	C₂×Dic₄₃⋊C₄	C₂²	1	1	yes	characteristic
169	C₂×Dic₄₃⋊C₄	C₂²	1	1	yes	characteristic
170	C₄⋊C₄×D₄₃	C₂²	1	1	yes	characteristic
171	C₂×C₄×Dic₄₃	C₂²	1	1	yes	characteristic
172	#126×C₄₃	C₂²	1	1	yes	characteristic
173	#126×C₄₃	C₂²	1	1	yes	characteristic
174	#125×C₄₃	C₂²	1	1	yes	characteristic
175	#125×C₄₃	C₂²	1	1	yes	characteristic
176	#125×C₄₃	C₂²	1	1	yes	characteristic
177	#123×C₄₃	C₂²	1	1	yes	characteristic
178	#123×C₄₃	C₂²	1	1	yes	characteristic
179	C₂²⋊Q₈×C₄₃	C₂²	1	1	yes	characteristic
180	C₂²⋊Q₈×C₄₃	C₂²	1	1	yes	characteristic
181	C₄×Q₈×C₄₃	C₂²	1	1	yes	characteristic
182	C₄×D₄×C₄₃	C₂²	1	1	yes	characteristic
183	#117×C₄₃	C₂²	1	1	yes	characteristic
184	#117×C₄₃	C₂²	1	1	yes	characteristic
185	#117×C₄₃	C₂²	1	1	yes	characteristic
186	C₂×C₄⋊C₄×C₄₃	C₂²	1	1	yes	characteristic
187	C₂×Q₈×C₄₃	C₂³	1	1	yes	characteristic
188	C₂×D₄×C₄₃	C₂³	1	1	yes	characteristic
189	C₂²×C₄×C₄₃	C₂³	1	1	yes	characteristic
190	C₂²×C₄×C₄₃	C₂³	1	1	yes	characteristic
191	C₂²×C₄×C₄₃	C₂³	1	1	yes	characteristic
192	C₂²×C₄×C₄₃	C₂³	1	1	yes	characteristic
193	C₂×C₂²⋊D₄₃	C₂³	1	1	yes	characteristic
194	C₂×C₂²⋊D₄₃	C₂³	1	1	yes	characteristic
195	C₂²×Dic₄₃	C₂³	1	1	yes	characteristic
196	C₂²×Dic₄₃	C₂³	1	1	yes	characteristic
197	C₂²×Dic₄₃	C₂³	1	1	yes	characteristic
198	C₂²×Dic₄₃	C₂³	1	1	yes	characteristic
199	C₂²×Dic₄₃	C₂³	1	1	yes	characteristic
200	C₂²×Dic₄₃	C₂³	1	1	yes	characteristic
201	C₂×C₄×D₄₃	C₂³	1	1	yes	characteristic
202	C₂×C₄×D₄₃	C₂³	1	1	yes	characteristic
203	C₂×C₄×D₄₃	C₂³	1	1	yes	characteristic
204	C₂×Dic₈₆	C₂³	1	1	yes	characteristic
205	C₂×Dic₈₆	C₂³	1	1	yes	characteristic
206	C₂×Dic₈₆	C₂³	1	1	yes	characteristic
207	C₂×Dic₈₆	C₂³	1	1	yes	characteristic
208	C₂×Dic₈₆	C₂³	1	1	yes	characteristic
209	C₂×Dic₈₆	C₂³	1	1	yes	characteristic
210	C₂×Dic₈₆	C₂³	1	1	yes	characteristic
211	C₂×Dic₈₆	C₂³	1	1	yes	characteristic
212	C₄⋊C₄×C₄₃	C₂³	1	1	yes	characteristic
213	C₄⋊C₄×C₄₃	C₂³	1	1	yes	characteristic
214	C₄⋊C₄×C₄₃	C₂³	1	1	yes	characteristic
215	C₄⋊C₄×C₄₃	C₂³	1	1	yes	characteristic
216	C₄⋊C₄×C₄₃	C₂³	1	1	yes	characteristic
217	C₄⋊C₄×C₄₃	C₂³	1	1	yes	characteristic
218	C₄⋊C₄×C₄₃	C₂³	1	1	yes	characteristic
219	C₄⋊C₄×C₄₃	C₂³	1	1	yes	characteristic
220	C₄⋊C₄×C₄₃	C₂³	1	1	yes	characteristic
221	C₄⋊C₄×C₄₃	C₂³	1	1	yes	characteristic
222	C₄⋊C₄×C₄₃	C₂³	1	1	yes	characteristic
223	C₄⋊C₄×C₄₃	C₂³	1	1	yes	characteristic
224	C₄⋊C₄×C₄₃	C₂³	1	1	yes	characteristic
225	C₄⋊C₄×C₄₃	C₂³	1	1	yes	characteristic
226	C₄⋊C₄×C₄₃	C₂³	1	1	yes	characteristic
227	C₄⋊C₄×C₄₃	C₂³	1	1	yes	characteristic
228	C₂²⋊C₄×C₄₃	C₂³	1	1	yes	characteristic
229	C₂²⋊C₄×C₄₃	C₂³	1	1	yes	characteristic
230	C₂²⋊C₄×C₄₃	C₂³	1	1	yes	characteristic
231	C₂²⋊C₄×C₄₃	C₂³	1	1	yes	characteristic
232	C₂²⋊C₄×C₄₃	C₂³	1	1	yes	characteristic
233	C₂²⋊C₄×C₄₃	C₂³	1	1	yes	characteristic
234	C₂²⋊C₄×C₄₃	C₂³	1	1	yes	characteristic
235	C₂²⋊C₄×C₄₃	C₂³	1	1	yes	characteristic
236	C₄²×C₄₃	C₂³	1	1	yes	characteristic
237	C₄²×C₄₃	C₂³	1	1	yes	characteristic
238	C₄²×C₄₃	C₂³	1	1	yes	characteristic
239	C₄²×C₄₃	C₂³	1	1	yes	characteristic
240	C₄²×C₄₃	C₂³	1	1	yes	characteristic
241	C₂²⋊Dic₄₃	C₂³	1	1	yes	characteristic
242	C₂²⋊Dic₄₃	C₂³	1	1	yes	characteristic
243	C₂²⋊Dic₄₃	C₂³	1	1	yes	characteristic
244	C₂²⋊Dic₄₃	C₂³	1	1	yes	characteristic
245	C₂²⋊Dic₄₃	C₂³	1	1	yes	characteristic
246	C₂²⋊Dic₄₃	C₂³	1	1	yes	characteristic
247	C₂²⋊Dic₄₃	C₂³	1	1	yes	characteristic
248	C₂²⋊Dic₄₃	C₂³	1	1	yes	characteristic
249	(C₂×D₄₃)⋊C₄	C₂³	1	1	yes	characteristic
250	(C₂×D₄₃)⋊C₄	C₂³	1	1	yes	characteristic
251	(C₂×D₄₃)⋊C₄	C₂³	1	1	yes	characteristic
252	(C₂×D₄₃)⋊C₄	C₂³	1	1	yes	characteristic
253	(C₂×D₄₃)⋊C₄	C₂³	1	1	yes	characteristic
254	(C₂×D₄₃)⋊C₄	C₂³	1	1	yes	characteristic
255	(C₂×D₄₃)⋊C₄	C₂³	1	1	yes	characteristic
256	(C₂×D₄₃)⋊C₄	C₂³	1	1	yes	characteristic
257	(C₂×D₄₃)⋊C₄	C₂³	1	1	yes	characteristic
258	(C₂×D₄₃)⋊C₄	C₂³	1	1	yes	characteristic
259	C₄⋊Dic₄₃	C₂³	1	1	yes	characteristic
260	C₄⋊Dic₄₃	C₂³	1	1	yes	characteristic
261	C₄⋊Dic₄₃	C₂³	1	1	yes	characteristic
262	C₄⋊Dic₄₃	C₂³	1	1	yes	characteristic
263	C₄⋊Dic₄₃	C₂³	1	1	yes	characteristic
264	C₄⋊Dic₄₃	C₂³	1	1	yes	characteristic
265	C₄⋊Dic₄₃	C₂³	1	1	yes	characteristic
266	C₄⋊Dic₄₃	C₂³	1	1	yes	characteristic
267	C₄⋊Dic₄₃	C₂³	1	1	yes	characteristic
268	C₄⋊Dic₄₃	C₂³	1	1	yes	characteristic
269	C₄⋊Dic₄₃	C₂³	1	1	yes	characteristic
270	C₄⋊Dic₄₃	C₂³	1	1	yes	characteristic
271	C₄⋊Dic₄₃	C₂³	1	1	yes	characteristic
272	C₄⋊Dic₄₃	C₂³	1	1	yes	characteristic
273	C₄⋊Dic₄₃	C₂³	1	1	yes	characteristic
274	C₄⋊Dic₄₃	C₂³	1	1	yes	characteristic
275	C₄⋊Dic₄₃	C₂³	1	1	yes	characteristic
276	C₄⋊Dic₄₃	C₂³	1	1	yes	characteristic
277	C₄⋊Dic₄₃	C₂³	1	1	yes	characteristic
278	C₄⋊Dic₄₃	C₂³	1	1	yes	characteristic
279	Dic₄₃⋊C₄	C₂³	1	1	yes	characteristic
280	Dic₄₃⋊C₄	C₂³	1	1	yes	characteristic
281	Dic₄₃⋊C₄	C₂³	1	1	yes	characteristic
282	Dic₄₃⋊C₄	C₂³	1	1	yes	characteristic
283	Dic₄₃⋊C₄	C₂³	1	1	yes	characteristic
284	Dic₄₃⋊C₄	C₂³	1	1	yes	characteristic
285	Dic₄₃⋊C₄	C₂³	1	1	yes	characteristic
286	Dic₄₃⋊C₄	C₂³	1	1	yes	characteristic
287	Dic₄₃⋊C₄	C₂³	1	1	yes	characteristic
288	Dic₄₃⋊C₄	C₂³	1	1	yes	characteristic
289	Dic₄₃⋊C₄	C₂³	1	1	yes	characteristic
290	Dic₄₃⋊C₄	C₂³	1	1	yes	characteristic
291	Dic₄₃⋊C₄	C₂³	1	1	yes	characteristic
292	Dic₄₃⋊C₄	C₂³	1	1	yes	characteristic
293	Dic₄₃⋊C₄	C₂³	1	1	yes	characteristic
294	Dic₄₃⋊C₄	C₂³	1	1	yes	characteristic
295	Dic₄₃⋊C₄	C₂³	1	1	yes	characteristic
296	Dic₄₃⋊C₄	C₂³	1	1	yes	characteristic
297	Dic₄₃⋊C₄	C₂³	1	1	yes	characteristic
298	Dic₄₃⋊C₄	C₂³	1	1	yes	characteristic
299	Dic₄₃⋊C₄	C₂³	1	1	yes	characteristic
300	Dic₄₃⋊C₄	C₂³	1	1	yes	characteristic
301	Dic₄₃⋊C₄	C₂³	1	1	yes	characteristic
302	Dic₄₃⋊C₄	C₂³	1	1	yes	characteristic
303	Dic₄₃⋊C₄	C₂³	1	1	yes	characteristic
304	Dic₄₃⋊C₄	C₂³	1	1	yes	characteristic
305	Dic₄₃⋊C₄	C₂³	1	1	yes	characteristic
306	Dic₄₃⋊C₄	C₂³	1	1	yes	characteristic
307	Dic₄₃⋊C₄	C₂³	1	1	yes	characteristic
308	Dic₄₃⋊C₄	C₂³	1	1	yes	characteristic
309	Dic₄₃⋊C₄	C₂³	1	1	yes	characteristic
310	Dic₄₃⋊C₄	C₂³	1	1	yes	characteristic
311	Dic₄₃⋊C₄	C₂³	1	1	yes	characteristic
312	Dic₄₃⋊C₄	C₂³	1	1	yes	characteristic
313	Dic₄₃⋊C₄	C₂³	1	1	yes	characteristic
314	Dic₄₃⋊C₄	C₂³	1	1	yes	characteristic
315	Dic₄₃⋊C₄	C₂³	1	1	yes	characteristic
316	Dic₄₃⋊C₄	C₂³	1	1	yes	characteristic
317	Dic₄₃⋊C₄	C₂³	1	1	yes	characteristic
318	Dic₄₃⋊C₄	C₂³	1	1	yes	characteristic
319	Dic₄₃⋊C₄	C₂³	1	1	yes	characteristic
320	Dic₄₃⋊C₄	C₂³	1	1	yes	characteristic
321	Dic₄₃⋊C₄	C₂³	1	1	yes	characteristic
322	Dic₄₃⋊C₄	C₂³	1	1	yes	characteristic
323	Dic₄₃⋊C₄	C₂³	1	1	yes	characteristic
324	Dic₄₃⋊C₄	C₂³	1	1	yes	characteristic
325	C₄×Dic₄₃	C₂³	1	1	yes	characteristic
326	C₄×Dic₄₃	C₂³	1	1	yes	characteristic
327	C₄×Dic₄₃	C₂³	1	1	yes	characteristic
328	C₄×Dic₄₃	C₂³	1	1	yes	characteristic
329	C₄×Dic₄₃	C₂³	1	1	yes	characteristic
330	C₄×Dic₄₃	C₂³	1	1	yes	characteristic
331	C₄×Dic₄₃	C₂³	1	1	yes	characteristic
332	C₄×Dic₄₃	C₂³	1	1	yes	characteristic
333	C₄×Dic₄₃	C₂³	1	1	yes	characteristic
334	C₄×Dic₄₃	C₂³	1	1	yes	characteristic
335	C₄×Dic₄₃	C₂³	1	1	yes	characteristic
336	C₄×Dic₄₃	C₂³	1	1	yes	characteristic
337	C₄×Dic₄₃	C₂³	1	1	yes	characteristic
338	C₄×Dic₄₃	C₂³	1	1	yes	characteristic
339	C₄×Dic₄₃	C₂³	1	1	yes	characteristic
340	C₄×Dic₄₃	C₂³	1	1	yes	characteristic
341	C₄×Dic₄₃	C₂³	1	1	yes	characteristic
342	C₂³×C₄₃	C₂⁴	1	1	yes	characteristic
343	C₂³×C₄₃	C₂⁴	1	1	yes	characteristic
344	C₂²×D₄₃	C₂⁴	1	1	yes	characteristic
345	Q₈×C₄₃	—	4	1	no	—
346	D₄×C₄₃	—	2	2	no	—
347	C₂×C₄×C₄₃	—	2	2	no	—
348	C₂×C₄×C₄₃	—	2	2	no	—
349	C₂×C₄×C₄₃	—	4	1	no	—
350	C₂×C₄×C₄₃	—	4	1	no	—
351	C₂×C₄×C₄₃	C₂⁴	1	1	yes	characteristic
352	C₂×C₄×C₄₃	C₂⁴	1	1	yes	characteristic
353	C₂×C₄×C₄₃	C₂⁴	1	1	yes	characteristic
354	C₂×C₄×C₄₃	C₂⁴	1	1	yes	characteristic
355	C₂×C₄×C₄₃	C₂⁴	1	1	yes	characteristic
356	C₂×C₄×C₄₃	C₂⁴	1	1	yes	characteristic
357	C₂×C₄×C₄₃	C₂⁴	1	1	yes	characteristic
358	C₂×C₄×C₄₃	C₂⁴	1	1	yes	characteristic
359	C₂×C₄×C₄₃	C₂⁴	1	1	yes	characteristic
360	C₂×C₄×C₄₃	C₂⁴	1	1	yes	characteristic
361	C₂×C₄×C₄₃	C₂⁴	1	1	yes	characteristic
362	C₂×C₄×C₄₃	C₂⁴	1	1	yes	characteristic
363	C₂×C₄×C₄₃	C₂⁴	1	1	yes	characteristic
364	C₂²⋊D₄₃	—	2	2	no	—
365	C₂²⋊D₄₃	—	4	1	no	—
366	C₂×Dic₄₃	—	2	2	no	—
367	C₂×Dic₄₃	—	2	2	no	—
368	C₂×Dic₄₃	—	2	2	no	—
369	C₂×Dic₄₃	—	4	1	no	—
370	C₂×Dic₄₃	—	4	1	no	—
371	C₂×Dic₄₃	—	4	1	no	—
372	C₂×Dic₄₃	C₂⁴	1	1	yes	characteristic
373	C₂×Dic₄₃	C₂⁴	1	1	yes	characteristic
374	C₂×Dic₄₃	C₂⁴	1	1	yes	characteristic
375	C₂×Dic₄₃	C₂⁴	1	1	yes	characteristic
376	C₂×Dic₄₃	C₂⁴	1	1	yes	characteristic
377	C₂×Dic₄₃	C₂⁴	1	1	yes	characteristic
378	C₂×Dic₄₃	C₂⁴	1	1	yes	characteristic
379	C₂×Dic₄₃	C₂⁴	1	1	yes	characteristic
380	C₂×Dic₄₃	C₂⁴	1	1	yes	characteristic
381	C₂×Dic₄₃	C₂⁴	1	1	yes	characteristic
382	C₂×Dic₄₃	C₂⁴	1	1	yes	characteristic
383	C₂×Dic₄₃	C₂⁴	1	1	yes	characteristic
384	C₂×Dic₄₃	C₂⁴	1	1	yes	characteristic
385	C₂×Dic₄₃	C₂⁴	1	1	yes	characteristic
386	C₂×Dic₄₃	C₂⁴	1	1	yes	characteristic
387	C₄×D₄₃	—	2	2	no	—
388	C₄×D₄₃	—	4	1	no	—
389	C₄×D₄₃	—	4	1	no	—
390	Dic₈₆	—	2	2	no	—
391	Dic₈₆	—	2	2	no	—
392	Dic₈₆	—	4	1	no	—
393	Dic₈₆	—	4	1	no	—
394	Dic₈₆	—	4	1	no	—
395	Dic₈₆	—	4	1	no	—
396	Dic₈₆	—	4	1	no	—
397	Dic₈₆	—	4	1	no	—
398	C₂²×C₄₃	—	2	1	no	—
399	C₂²×C₄₃	—	2	1	no	—
400	C₂²×C₄₃	—	2	1	no	—
401	C₂²×C₄₃	—	2	1	no	—
402	C₂²×C₄₃	—	2	1	no	—
403	C₂²×C₄₃	2₋¹⁺⁴	1	2	yes	—
404	C₂²×C₄₃	C₂⁵	1	1	yes	characteristic
405	C₂×D₄₃	—	2	1	no	—
406	C₂×D₄₃	—	2	1	no	—
407	C₂×D₄₃	—	2	1	no	—
408	C₄×C₄₃	—	2	1	no	—
409	C₄×C₄₃	—	2	1	no	—
410	C₄×C₄₃	—	2	1	no	—
411	C₄×C₄₃	—	2	1	no	—
412	C₄×C₄₃	—	2	1	no	—
413	C₄×C₄₃	—	2	1	no	—
414	C₄×C₄₃	—	2	1	no	—
415	C₄×C₄₃	—	2	1	no	—
416	C₄×C₄₃	—	2	1	no	—
417	C₄×C₄₃	—	2	1	no	—
418	C₄×C₄₃	—	2	1	no	—
419	C₄×C₄₃	—	2	1	no	—
420	C₄×C₄₃	—	2	1	no	—
421	Dic₄₃	—	2	1	no	—
422	Dic₄₃	—	2	1	no	—
423	Dic₄₃	—	2	1	no	—
424	Dic₄₃	—	2	1	no	—
425	Dic₄₃	—	2	1	no	—
426	Dic₄₃	—	2	1	no	—
427	Dic₄₃	—	2	1	no	—
428	Dic₄₃	—	2	1	no	—
429	Dic₄₃	—	2	1	no	—
430	Dic₄₃	—	2	1	no	—
431	Dic₄₃	—	2	1	no	—
432	Dic₄₃	—	2	1	no	—
433	Dic₄₃	—	2	1	no	—
434	Dic₄₃	—	2	1	no	—
435	Dic₄₃	2₋¹⁺⁴	1	2	yes	—
436	#3563	—	43	1	no	maximal, Sylow
437	C₂×C₄₃	—	2	2	no	—
438	C₂×C₄₃	—	4	1	no	—
439	C₂×C₄₃	C₂×2₋¹⁺⁴	1	1	yes	characteristic
440	C₂×C₄₃	C₂×2₋¹⁺⁴	1	1	yes	characteristic
441	C₂×C₄₃	#585	1	1	yes	characteristic
442	D₄₃	—	4	1	no	—
443	#564	—	43	1	no	—
444	#564	—	43	1	no	—
445	#563	—	43	1	no	—
446	#563	—	43	1	no	—
447	#557	—	43	1	no	—
448	#557	—	43	1	no	—
449	#554	—	43	1	no	—
450	#554	—	43	1	no	—
451	#552	—	43	1	no	—
452	#552	—	43	1	no	—
453	#552	—	43	1	no	—
454	#552	—	43	1	no	—
455	#552	—	43	1	no	—
456	#552	—	43	1	no	—
457	#552	—	43	1	no	—
458	#552	D₄₃	1	1	yes	characteristic, complemented
459	#544	—	43	1	no	—
460	#544	—	43	1	no	—
461	#544	—	43	1	no	—
462	#544	—	43	1	no	—
463	#541	—	43	1	no	—
464	#541	—	43	1	no	—
465	#541	—	43	1	no	—
466	#541	—	43	1	no	—
467	#541	—	43	1	no	—
468	#541	—	43	1	no	—
469	#539	—	43	1	no	—
470	#539	—	43	1	no	—
471	#533	—	43	1	no	—
472	#529	—	43	1	no	—
473	C₂×#125	—	43	1	no	—
474	C₄₃	#3563	1	1	yes	characteristic, complemented, Sylow
475	C₄⋊Q₈	—	43	1	no	—
476	C₄⋊Q₈	—	43	1	no	—
477	C₄⋊Q₈	—	43	1	no	—
478	C₄⋊Q₈	—	43	1	no	—
479	C₄⋊Q₈	—	43	1	no	—
480	C₄⋊Q₈	—	43	1	no	—
481	C₄⋊Q₈	—	43	1	no	—
482	C₄⋊Q₈	—	43	1	no	—
483	C₄⋊Q₈	—	43	1	no	—
484	C₄⋊Q₈	—	43	1	no	—
485	C₄⋊Q₈	—	43	1	no	—
486	C₄⋊Q₈	—	43	1	no	—
487	#126	—	43	1	no	—
488	#126	—	43	1	no	—
489	#126	—	43	1	no	—
490	#126	—	43	1	no	—
491	#126	—	43	1	no	—
492	#126	—	43	1	no	—
493	#126	—	43	1	no	—
494	#126	—	43	1	no	—
495	#126	—	43	1	no	—
496	#126	—	43	1	no	—
497	#126	—	43	1	no	—
498	#126	—	43	1	no	—
499	#126	—	43	1	no	—
500	#126	—	43	1	no	—
501	#126	—	43	1	no	—
502	#126	—	43	1	no	—
503	#126	C₂×D₄₃	1	1	yes	characteristic
504	#126	C₂×D₄₃	1	1	yes	characteristic
505	#125	—	43	1	no	—
506	#125	—	43	1	no	—
507	#125	—	43	1	no	—
508	#125	—	43	1	no	—
509	#125	—	43	1	no	—
510	#125	—	43	1	no	—
511	#125	—	43	1	no	—
512	#125	—	43	1	no	—
513	#125	—	43	1	no	—
514	#125	—	43	1	no	—
515	#125	—	43	1	no	—
516	#125	—	43	1	no	—
517	#125	—	43	1	no	—
518	#125	—	43	1	no	—
519	#125	—	43	1	no	—
520	#125	—	43	1	no	—
521	#125	—	43	1	no	—
522	#125	—	43	1	no	—
523	#125	—	43	1	no	—
524	#125	—	43	1	no	—
525	#125	—	43	1	no	—
526	#125	—	43	1	no	—
527	#125	—	43	1	no	—
528	#125	—	43	1	no	—
529	#125	—	43	1	no	—
530	#125	—	43	1	no	—
531	#125	—	43	1	no	—
532	#125	—	43	1	no	—
533	#125	—	43	1	no	—
534	#125	—	43	1	no	—
535	#125	—	43	1	no	—
536	#125	—	43	1	no	—
537	#125	—	43	1	no	—
538	#125	—	43	1	no	—
539	#125	—	43	1	no	—
540	#125	—	43	1	no	—
541	#125	—	43	1	no	—
542	#125	—	43	1	no	—
543	#125	—	43	1	no	—
544	#125	—	43	1	no	—
545	#125	—	43	1	no	—
546	#125	—	43	1	no	—
547	#125	C₂×D₄₃	1	1	yes	characteristic
548	#125	C₂×D₄₃	1	1	yes	characteristic
549	#125	C₂×D₄₃	1	1	yes	characteristic
550	#124	—	43	1	no	—
551	#123	—	43	1	no	—
552	#123	—	43	1	no	—
553	#123	—	43	1	no	—
554	#123	—	43	1	no	—
555	#123	—	43	1	no	—
556	#123	—	43	1	no	—
557	#123	—	43	1	no	—
558	#123	—	43	1	no	—
559	#123	C₂×D₄₃	1	1	yes	characteristic
560	#123	C₂×D₄₃	1	1	yes	characteristic
561	C₂²⋊Q₈	—	43	1	no	—
562	C₂²⋊Q₈	—	43	1	no	—
563	C₂²⋊Q₈	—	43	1	no	—
564	C₂²⋊Q₈	—	43	1	no	—
565	C₂²⋊Q₈	—	43	1	no	—
566	C₂²⋊Q₈	—	43	1	no	—
567	C₂²⋊Q₈	—	43	1	no	—
568	C₂²⋊Q₈	—	43	1	no	—
569	C₂²⋊Q₈	—	43	1	no	—
570	C₂²⋊Q₈	—	43	1	no	—
571	C₂²⋊Q₈	—	43	1	no	—
572	C₂²⋊Q₈	—	43	1	no	—
573	C₂²⋊Q₈	—	43	1	no	—
574	C₂²⋊Q₈	—	43	1	no	—
575	C₂²⋊Q₈	—	43	1	no	—
576	C₂²⋊Q₈	—	43	1	no	—
577	C₂²⋊Q₈	—	43	1	no	—
578	C₂²⋊Q₈	—	43	1	no	—
579	C₂²⋊Q₈	—	43	1	no	—
580	C₂²⋊Q₈	—	43	1	no	—
581	C₂²⋊Q₈	—	43	1	no	—
582	C₂²⋊Q₈	—	43	1	no	—
583	C₂²⋊Q₈	—	43	1	no	—
584	C₂²⋊Q₈	C₂×D₄₃	1	1	yes	characteristic
585	C₂²⋊Q₈	C₂×D₄₃	1	1	yes	characteristic
586	#121	—	43	1	no	—
587	C₄×Q₈	—	43	1	no	—
588	C₄×Q₈	—	43	1	no	—
589	C₄×Q₈	—	43	1	no	—
590	C₄×Q₈	—	43	1	no	—
591	C₄×Q₈	—	43	1	no	—
592	C₄×Q₈	—	43	1	no	—
593	C₄×Q₈	—	43	1	no	—
594	C₄×Q₈	—	43	1	no	—
595	C₄×Q₈	—	43	1	no	—
596	C₄×Q₈	—	43	1	no	—
597	C₄×Q₈	—	43	1	no	—
598	C₄×Q₈	—	43	1	no	—
599	C₄×Q₈	C₂×D₄₃	1	1	yes	characteristic
600	C₄×D₄	—	43	1	no	—
601	C₄×D₄	—	43	1	no	—
602	C₄×D₄	—	43	1	no	—
603	C₄×D₄	—	43	1	no	—
604	C₄×D₄	—	43	1	no	—
605	C₄×D₄	—	43	1	no	—
606	C₄×D₄	C₂×D₄₃	1	1	yes	characteristic
607	#117	—	43	1	no	—
608	#117	—	43	1	no	—
609	#117	—	43	1	no	—
610	#117	—	43	1	no	—
611	#117	—	43	1	no	—
612	#117	—	43	1	no	—
613	#117	—	43	1	no	—
614	#117	—	43	1	no	—
615	#117	—	43	1	no	—
616	#117	—	43	1	no	—
617	#117	—	43	1	no	—
618	#117	C₂×D₄₃	1	1	yes	characteristic
619	#117	C₂×D₄₃	1	1	yes	characteristic
620	#117	C₂×D₄₃	1	1	yes	characteristic
621	C₂×C₄⋊C₄	—	43	1	no	—
622	C₂×C₄⋊C₄	—	43	1	no	—
623	C₂×C₄⋊C₄	—	43	1	no	—
624	C₂×C₄⋊C₄	—	43	1	no	—
625	C₂×C₄⋊C₄	—	43	1	no	—
626	C₂×C₄⋊C₄	—	43	1	no	—
627	C₂×C₄⋊C₄	—	43	1	no	—
628	C₂×C₄⋊C₄	C₂×D₄₃	1	1	yes	characteristic
629	C₂×C₄²	—	43	1	no	—
630	C₂×Q₈	—	43	1	no	—
631	C₂×Q₈	—	43	1	no	—
632	C₂×Q₈	—	43	1	no	—
633	C₂×Q₈	—	43	1	no	—
634	C₂×Q₈	—	43	1	no	—
635	C₂×Q₈	—	43	1	no	—
636	C₂×Q₈	—	43	1	no	—
637	C₂×Q₈	—	43	1	no	—
638	C₂×Q₈	C₂²×D₄₃	1	1	yes	characteristic
639	C₂×D₄	—	43	1	no	—
640	C₂×D₄	—	43	1	no	—
641	C₂×D₄	C₂²×D₄₃	1	1	yes	characteristic
642	C₂²×C₄	—	43	1	no	—
643	C₂²×C₄	—	43	1	no	—
644	C₂²×C₄	—	43	1	no	—
645	C₂²×C₄	—	43	1	no	—
646	C₂²×C₄	—	43	1	no	—
647	C₂²×C₄	—	43	1	no	—
648	C₂²×C₄	—	43	1	no	—
649	C₂²×C₄	—	43	1	no	—
650	C₂²×C₄	—	43	1	no	—
651	C₂²×C₄	C₂²×D₄₃	1	1	yes	characteristic
652	C₂²×C₄	C₂²×D₄₃	1	1	yes	characteristic
653	C₂²×C₄	C₂²×D₄₃	1	1	yes	characteristic
654	C₂²×C₄	C₂²×D₄₃	1	1	yes	characteristic
655	C₄⋊C₄	—	43	1	no	—
656	C₄⋊C₄	—	43	1	no	—
657	C₄⋊C₄	—	43	1	no	—
658	C₄⋊C₄	—	43	1	no	—
659	C₄⋊C₄	—	43	1	no	—
660	C₄⋊C₄	—	43	1	no	—
661	C₄⋊C₄	—	43	1	no	—
662	C₄⋊C₄	—	43	1	no	—
663	C₄⋊C₄	—	43	1	no	—
664	C₄⋊C₄	—	43	1	no	—
665	C₄⋊C₄	—	43	1	no	—
666	C₄⋊C₄	—	43	1	no	—
667	C₄⋊C₄	—	43	1	no	—
668	C₄⋊C₄	—	43	1	no	—
669	C₄⋊C₄	—	43	1	no	—
670	C₄⋊C₄	—	43	1	no	—
671	C₄⋊C₄	—	43	1	no	—
672	C₄⋊C₄	—	43	1	no	—
673	C₄⋊C₄	—	43	1	no	—
674	C₄⋊C₄	—	43	1	no	—
675	C₄⋊C₄	—	43	1	no	—
676	C₄⋊C₄	—	43	1	no	—
677	C₄⋊C₄	—	43	1	no	—
678	C₄⋊C₄	—	43	1	no	—
679	C₄⋊C₄	—	43	1	no	—
680	C₄⋊C₄	—	43	1	no	—
681	C₄⋊C₄	—	43	1	no	—
682	C₄⋊C₄	—	43	1	no	—
683	C₄⋊C₄	—	43	1	no	—
684	C₄⋊C₄	—	43	1	no	—
685	C₄⋊C₄	—	43	1	no	—
686	C₄⋊C₄	—	43	1	no	—
687	C₄⋊C₄	—	43	1	no	—
688	C₄⋊C₄	—	43	1	no	—
689	C₄⋊C₄	—	43	1	no	—
690	C₄⋊C₄	—	43	1	no	—
691	C₄⋊C₄	—	43	1	no	—
692	C₄⋊C₄	—	43	1	no	—
693	C₄⋊C₄	—	43	1	no	—
694	C₄⋊C₄	—	43	1	no	—
695	C₄⋊C₄	—	43	1	no	—
696	C₄⋊C₄	—	43	1	no	—
697	C₄⋊C₄	—	43	1	no	—
698	C₄⋊C₄	—	43	1	no	—
699	C₄⋊C₄	—	43	1	no	—
700	C₄⋊C₄	—	43	1	no	—
701	C₄⋊C₄	—	43	1	no	—
702	C₄⋊C₄	—	43	1	no	—
703	C₄⋊C₄	—	43	1	no	—
704	C₄⋊C₄	—	43	1	no	—
705	C₄⋊C₄	—	43	1	no	—
706	C₄⋊C₄	—	43	1	no	—
707	C₄⋊C₄	—	43	1	no	—
708	C₄⋊C₄	—	43	1	no	—
709	C₄⋊C₄	—	43	1	no	—
710	C₄⋊C₄	—	43	1	no	—
711	C₄⋊C₄	—	43	1	no	—
712	C₄⋊C₄	—	43	1	no	—
713	C₄⋊C₄	—	43	1	no	—
714	C₄⋊C₄	—	43	1	no	—
715	C₄⋊C₄	—	43	1	no	—
716	C₄⋊C₄	—	43	1	no	—
717	C₄⋊C₄	—	43	1	no	—
718	C₄⋊C₄	—	43	1	no	—
719	C₄⋊C₄	—	43	1	no	—
720	C₄⋊C₄	—	43	1	no	—
721	C₄⋊C₄	C₂²×D₄₃	1	1	yes	characteristic
722	C₄⋊C₄	C₂²×D₄₃	1	1	yes	characteristic
723	C₄⋊C₄	C₂²×D₄₃	1	1	yes	characteristic
724	C₄⋊C₄	C₂²×D₄₃	1	1	yes	characteristic
725	C₄⋊C₄	C₂²×D₄₃	1	1	yes	characteristic
726	C₄⋊C₄	C₂²×D₄₃	1	1	yes	characteristic
727	C₄⋊C₄	C₂²×D₄₃	1	1	yes	characteristic
728	C₄⋊C₄	C₂²×D₄₃	1	1	yes	characteristic
729	C₄⋊C₄	C₂²×D₄₃	1	1	yes	characteristic
730	C₄⋊C₄	C₂²×D₄₃	1	1	yes	characteristic
731	C₄⋊C₄	C₂²×D₄₃	1	1	yes	characteristic
732	C₄⋊C₄	C₂²×D₄₃	1	1	yes	characteristic
733	C₄⋊C₄	C₂²×D₄₃	1	1	yes	characteristic
734	C₄⋊C₄	C₂²×D₄₃	1	1	yes	characteristic
735	C₄⋊C₄	C₂²×D₄₃	1	1	yes	characteristic
736	C₄⋊C₄	C₂²×D₄₃	1	1	yes	characteristic
737	C₂²⋊C₄	—	43	1	no	—
738	C₂²⋊C₄	—	43	1	no	—
739	C₂²⋊C₄	—	43	1	no	—
740	C₂²⋊C₄	—	43	1	no	—
741	C₂²⋊C₄	—	43	1	no	—
742	C₂²⋊C₄	—	43	1	no	—
743	C₂²⋊C₄	—	43	1	no	—
744	C₂²⋊C₄	—	43	1	no	—
745	C₂²⋊C₄	—	43	1	no	—
746	C₂²⋊C₄	—	43	1	no	—
747	C₂²⋊C₄	—	43	1	no	—
748	C₂²⋊C₄	—	43	1	no	—
749	C₂²⋊C₄	—	43	1	no	—
750	C₂²⋊C₄	—	43	1	no	—
751	C₂²⋊C₄	—	43	1	no	—
752	C₂²⋊C₄	—	43	1	no	—
753	C₂²⋊C₄	—	43	1	no	—
754	C₂²⋊C₄	—	43	1	no	—
755	C₂²⋊C₄	C₂²×D₄₃	1	1	yes	characteristic
756	C₂²⋊C₄	C₂²×D₄₃	1	1	yes	characteristic
757	C₂²⋊C₄	C₂²×D₄₃	1	1	yes	characteristic
758	C₂²⋊C₄	C₂²×D₄₃	1	1	yes	characteristic
759	C₂²⋊C₄	C₂²×D₄₃	1	1	yes	characteristic
760	C₂²⋊C₄	C₂²×D₄₃	1	1	yes	characteristic
761	C₂²⋊C₄	C₂²×D₄₃	1	1	yes	characteristic
762	C₂²⋊C₄	C₂²×D₄₃	1	1	yes	characteristic
763	C₄²	—	43	1	no	—
764	C₄²	—	43	1	no	—
765	C₄²	—	43	1	no	—
766	C₄²	—	43	1	no	—
767	C₄²	—	43	1	no	—
768	C₄²	—	43	1	no	—
769	C₄²	—	43	1	no	—
770	C₄²	—	43	1	no	—
771	C₄²	—	43	1	no	—
772	C₄²	—	43	1	no	—
773	C₄²	—	43	1	no	—
774	C₄²	—	43	1	no	—
775	C₄²	—	43	1	no	—
776	C₄²	—	43	1	no	—
777	C₄²	—	43	1	no	—
778	C₄²	—	43	1	no	—
779	C₄²	—	43	1	no	—
780	C₄²	C₂²×D₄₃	1	1	yes	characteristic
781	C₄²	C₂²×D₄₃	1	1	yes	characteristic
782	C₄²	C₂²×D₄₃	1	1	yes	characteristic
783	C₄²	C₂²×D₄₃	1	1	yes	characteristic
784	C₄²	C₂²×D₄₃	1	1	yes	characteristic
785	C₂³	—	43	1	no	—
786	C₂³	C₂³×D₄₃	1	1	yes	characteristic
787	C₂³	C₂³×D₄₃	1	1	yes	characteristic
788	Q₈	—	4	1	no	—
789	Q₈	—	86	2	no	—
790	Q₈	—	86	2	no	—
791	Q₈	—	172	1	no	—
792	Q₈	—	172	1	no	—
793	Q₈	—	172	1	no	—
794	Q₈	—	172	1	no	—
795	Q₈	—	172	1	no	—
796	Q₈	—	172	1	no	—
797	D₄	—	2	2	no	—
798	D₄	—	86	2	no	—
799	D₄	—	172	1	no	—
800	C₂×C₄	—	2	2	no	—
801	C₂×C₄	—	2	2	no	—
802	C₂×C₄	—	4	1	no	—
803	C₂×C₄	—	4	1	no	—
804	C₂×C₄	—	43	1	no	—
805	C₂×C₄	—	43	1	no	—
806	C₂×C₄	—	43	1	no	—
807	C₂×C₄	—	43	1	no	—
808	C₂×C₄	—	43	1	no	—
809	C₂×C₄	—	43	1	no	—
810	C₂×C₄	—	43	1	no	—
811	C₂×C₄	—	43	1	no	—
812	C₂×C₄	—	43	1	no	—
813	C₂×C₄	—	43	1	no	—
814	C₂×C₄	—	43	1	no	—
815	C₂×C₄	—	43	1	no	—
816	C₂×C₄	—	43	1	no	—
817	C₂×C₄	—	43	1	no	—
818	C₂×C₄	—	43	1	no	—
819	C₂×C₄	—	86	2	no	—
820	C₂×C₄	—	86	2	no	—
821	C₂×C₄	—	86	2	no	—
822	C₂×C₄	—	86	2	no	—
823	C₂×C₄	—	172	1	no	—
824	C₂×C₄	—	172	1	no	—
825	C₂×C₄	—	172	1	no	—
826	C₂×C₄	—	172	1	no	—
827	C₂×C₄	—	172	1	no	—
828	C₂×C₄	C₂³×D₄₃	1	1	yes	characteristic
829	C₂×C₄	C₂³×D₄₃	1	1	yes	characteristic
830	C₂×C₄	C₂³×D₄₃	1	1	yes	characteristic
831	C₂×C₄	C₂³×D₄₃	1	1	yes	characteristic
832	C₂×C₄	C₂³×D₄₃	1	1	yes	characteristic
833	C₂×C₄	C₂³×D₄₃	1	1	yes	characteristic
834	C₂×C₄	C₂³×D₄₃	1	1	yes	characteristic
835	C₂×C₄	C₂³×D₄₃	1	1	yes	characteristic
836	C₂×C₄	C₂³×D₄₃	1	1	yes	characteristic
837	C₂×C₄	C₂³×D₄₃	1	1	yes	characteristic
838	C₂×C₄	C₂³×D₄₃	1	1	yes	characteristic
839	C₂×C₄	C₂³×D₄₃	1	1	yes	characteristic
840	C₂×C₄	C₂³×D₄₃	1	1	yes	characteristic
841	C₂²	—	2	1	no	—
842	C₂²	—	2	1	no	—
843	C₂²	—	2	1	no	—
844	C₂²	—	2	1	no	—
845	C₂²	—	2	1	no	—
846	C₂²	—	86	1	no	—
847	C₂²	—	86	1	no	—
848	C₂²	—	86	1	no	—
849	C₂²	#13063372	1	2	yes	—
850	C₂²	C₂⁴×D₄₃	1	1	yes	characteristic
851	C₄	—	2	1	no	—
852	C₄	—	2	1	no	—
853	C₄	—	2	1	no	—
854	C₄	—	2	1	no	—
855	C₄	—	2	1	no	—
856	C₄	—	2	1	no	—
857	C₄	—	2	1	no	—
858	C₄	—	2	1	no	—
859	C₄	—	2	1	no	—
860	C₄	—	2	1	no	—
861	C₄	—	2	1	no	—
862	C₄	—	2	1	no	—
863	C₄	—	2	1	no	—
864	C₄	—	43	2	no	—
865	C₄	—	86	1	no	—
866	C₄	—	86	1	no	—
867	C₄	—	86	1	no	—
868	C₄	—	86	1	no	—
869	C₄	—	86	1	no	—
870	C₄	—	86	1	no	—
871	C₄	—	86	1	no	—
872	C₄	—	86	1	no	—
873	C₄	—	86	1	no	—
874	C₄	—	86	1	no	—
875	C₄	—	86	1	no	—
876	C₄	—	86	1	no	—
877	C₄	—	86	1	no	—
878	C₄	—	86	1	no	—
879	C₂	—	2	2	no	—
880	C₂	—	4	1	no	—
881	C₂	—	172	1	no	—
882	C₂	2₋¹⁺⁴×D₄₃	1	1	yes	characteristic
883	C₂	C₂×#13063372	1	1	yes	characteristic
884	C₂	#14583735	1	1	yes	characteristic

	subgroup	G/H
center, Frattini	C₂²	C₂⁴×D₄₃
commutator, socle	C₂²×C₄₃	C₂⁵
Fitting	C₄₃×#552	C₂
hypercenter	#552	D₄₃
hypocenter	C₄₃	#3563
LCS	G ▷ C₂²×C₄₃ ▷ C₄₃
UCS	C₁ ◁ C₂² ◁ #552

Complements

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

N	H ≅ G/N	type
1. C₄₃⋊#564	C₂	semidirect
2. C₄₃⋊#564	C₂	semidirect
3. #14583651	C₂	semidirect
4. #14583650	C₂	semidirect
5. #14583627	C₂	semidirect
6. #14583626	C₂	semidirect
7. #14583608	C₂	semidirect
8. #14583603	C₂	semidirect
9. #14583586	C₂	semidirect
10. #14583586	C₂	semidirect
11. #14583585	C₂	semidirect
12. #14583584	C₂	semidirect
13. #14583582	C₂	semidirect
14. #14583582	C₂	semidirect
15. #14583582	C₂	semidirect
16. #14583529	C₂	semidirect
17. #14583528	C₂	semidirect
18. #14583528	C₂	semidirect
19. #14583527	C₂	semidirect
20. #14583511	C₂	semidirect
21. #14583508	C₂	semidirect
22. #14583508	C₂	semidirect
23. #14583507	C₂	semidirect
24. #14583506	C₂	semidirect
25. #14583506	C₂	semidirect
28. #14583452	C₂	semidirect
30. C₂×#13063315	C₂	semidirect
31. C₄₃×#552	C₂	semidirect
458. #552	D₄₃	semidirect
474. C₄₃	#3563	semidirect