Subgroups — D₄₃×#3081 #25964148

Order 11008.

2234 conjugacy classes of subgroups.

The subgroup lattice has 1184 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#544×D₄₃	C₂	1	1	yes	maximal, characteristic, complemented
2	#518×D₄₃	C₂	1	1	yes	maximal, characteristic
3	#19144429	C₂	1	1	yes	maximal, characteristic, complemented
4	#19144428	C₂	1	1	yes	maximal, characteristic, complemented
5	#19144427	C₂	1	1	yes	maximal, characteristic, complemented
6	#19144426	C₂	1	1	yes	maximal, characteristic, complemented
7	#19144425	C₂	1	2	yes	maximal, complemented
8	#19144424	C₂	1	1	yes	maximal, characteristic, complemented
9	#19144423	C₂	1	2	yes	maximal, complemented
10	#19144422	C₂	1	1	yes	maximal, characteristic, complemented
11	#19144421	C₂	1	2	yes	maximal, complemented
12	#19144420	C₂	1	1	yes	maximal, characteristic, complemented
13	#19144419	C₂	1	2	yes	maximal, complemented
14	#478×D₄₃	C₂	1	2	yes	maximal, complemented
15	#478×D₄₃	C₂	1	2	yes	maximal, complemented
16	#476×D₄₃	C₂	1	2	yes	maximal, complemented
17	#474×D₄₃	C₂	1	2	yes	maximal, complemented
18	#428×D₄₃	C₂	1	1	yes	maximal, characteristic, complemented
19	#427×D₄₃	C₂	1	1	yes	maximal, characteristic, complemented
20	#424×D₄₃	C₂	1	1	yes	maximal, characteristic, complemented
21	#418×D₄₃	C₂	1	1	yes	maximal, characteristic
22	C₂×#102×D₄₃	C₂	1	1	yes	maximal, characteristic
23	C₄₃×#3081	C₂	1	1	yes	maximal, characteristic, complemented
24	C₂²×D₄×D₄₃	C₂²	1	1	yes	characteristic
25	C₂×M₁₆×D₄₃	C₂²	1	1	yes	characteristic
26	C₂²×C₈×D₄₃	C₂²	1	1	yes	characteristic
27	#14583530	C₂²	1	1	yes	characteristic, complemented
28	#14583529	—	2	1	no	—
29	#14583529	C₂²	1	2	yes	complemented
30	#14583528	—	2	2	no	—
31	#14583527	C₂²	1	1	yes	characteristic, complemented
32	#14583527	C₂²	1	1	yes	characteristic, complemented
33	#14583526	—	2	1	no	—
34	#14583526	C₂²	1	2	yes	complemented
35	C₄⋊Q₈×D₄₃	—	2	1	no	—
36	C₄⋊Q₈×D₄₃	C₂²	1	2	yes	complemented
37	#125×D₄₃	—	2	1	no	—
38	#125×D₄₃	C₂²	1	2	yes	complemented
39	C₂²⋊Q₈×D₄₃	—	2	2	no	—
40	#14583374	C₂²	1	1	yes	characteristic
41	#14583373	C₂²	1	1	yes	characteristic
42	#14583373	C₂²	1	1	yes	characteristic
43	#14583372	—	2	2	no	—
44	#14583371	—	2	1	no	—
45	#14583371	—	2	1	no	—
46	#14583371	C₂²	1	2	yes	—
47	#14583371	C₂²	1	2	yes	—
48	C₄×D₄×D₄₃	—	2	1	no	—
49	C₄×D₄×D₄₃	—	2	1	no	—
50	C₄×D₄×D₄₃	C₂²	1	2	yes	—
51	C₄×D₄×D₄₃	C₂²	1	2	yes	—
52	#117×D₄₃	C₂²	1	1	yes	characteristic
53	#117×D₄₃	C₂²	1	1	yes	characteristic
54	#117×D₄₃	C₂²	1	1	yes	characteristic
55	C₂×C₄⋊C₄×D₄₃	C₂²	1	1	yes	characteristic
56	C₂×C₂²⋊C₄×D₄₃	—	2	2	no	—
57	#14583202	C₂²	1	2	yes	complemented
58	#14583202	C₂²	1	2	yes	complemented
59	#14583201	C₂²	1	2	yes	complemented
60	#14583201	C₂²	1	2	yes	complemented
61	#14583200	C₂²	1	2	yes	complemented
62	#14583200	C₂²	1	2	yes	complemented
63	#14583199	C₂²	1	2	yes	complemented
64	#14583199	C₂²	1	2	yes	complemented
65	#14583198	C₂²	1	2	yes	complemented
66	#14583198	C₂²	1	2	yes	complemented
67	#14583197	C₂²	1	2	yes	complemented
68	#14583197	C₂²	1	2	yes	complemented
69	#14583196	C₂²	1	2	yes	complemented
70	#14583196	C₂²	1	2	yes	complemented
71	#14583190	C₂²	1	2	yes	complemented
72	#14583189	C₂²	1	2	yes	complemented
73	#14583188	C₂²	1	2	yes	complemented
74	#14583188	C₂²	1	2	yes	complemented
75	#14583187	C₂²	1	2	yes	complemented
76	#14583187	C₂²	1	2	yes	complemented
77	#14583186	C₂²	1	2	yes	complemented
78	#14583180	C₂²	1	2	yes	complemented
79	#14583179	C₂²	1	2	yes	complemented
80	#14583178	C₂²	1	2	yes	complemented
81	#14583178	C₂²	1	2	yes	complemented
82	#14583177	C₂²	1	2	yes	complemented
83	#14583177	C₂²	1	2	yes	complemented
84	#14583176	C₂²	1	2	yes	complemented
85	#14582942	C₂²	1	1	yes	characteristic, complemented
86	#14582941	C₂²	1	1	yes	characteristic, complemented
87	#14582940	C₂²	1	2	yes	complemented
88	#14582939	C₂²	1	1	yes	characteristic, complemented
89	#14582938	C₂²	1	2	yes	complemented
90	#14582937	C₂²	1	1	yes	characteristic, complemented
91	#14582936	C₂²	1	1	yes	characteristic, complemented
92	#14582936	C₂²	1	1	yes	characteristic, complemented
93	#14582935	C₂²	1	1	yes	characteristic, complemented
94	#14582935	C₂²	1	1	yes	characteristic, complemented
95	#14582934	C₂²	1	1	yes	characteristic, complemented
96	#14582934	C₂²	1	1	yes	characteristic, complemented
97	#107×D₄₃	C₂²	1	1	yes	characteristic, complemented
98	#107×D₄₃	C₂²	1	1	yes	characteristic, complemented
99	#107×D₄₃	C₂²	1	2	yes	complemented
100	#106×D₄₃	C₂²	1	1	yes	characteristic, complemented
101	#106×D₄₃	C₂²	1	1	yes	characteristic, complemented
102	#106×D₄₃	C₂²	1	2	yes	complemented
103	#14582927	C₂²	1	1	yes	characteristic, complemented
104	#14582926	C₂²	1	1	yes	characteristic, complemented
105	#14582925	C₂²	1	1	yes	characteristic, complemented
106	#14582924	C₂²	1	2	yes	complemented
107	#14582924	C₂²	1	2	yes	complemented
108	C₄⋊C₈×D₄₃	C₂²	1	2	yes	complemented
109	C₄⋊C₈×D₄₃	C₂²	1	2	yes	complemented
110	#14582905	C₂²	1	1	yes	characteristic
111	#14582904	C₂²	1	1	yes	characteristic
112	#14582903	C₂²	1	1	yes	characteristic
113	#14582902	C₂²	1	2	yes	—
114	#14582902	C₂²	1	2	yes	—
115	C₂×#13063247	C₂²	1	1	yes	characteristic
116	C₂×#13063246	C₂²	1	1	yes	characteristic
117	C₂×#13063245	C₂²	1	1	yes	characteristic
118	#102×D₄₃	C₂²	1	2	yes	—
119	#102×D₄₃	C₂²	1	2	yes	—
120	#102×D₄₃	C₂²	1	2	yes	—
121	#102×D₄₃	C₂²	1	2	yes	—
122	#102×D₄₃	C₂²	1	2	yes	—
123	#102×D₄₃	C₂²	1	2	yes	—
124	C₄₃×#544	C₂²	1	1	yes	characteristic, complemented
125	C₄₃×#518	C₂²	1	1	yes	characteristic
126	C₄₃×#478	C₂²	1	2	yes	complemented
127	C₄₃×#478	C₂²	1	2	yes	complemented
128	C₄₃×#476	C₂²	1	2	yes	complemented
129	C₄₃×#474	C₂²	1	2	yes	complemented
130	C₄₃×#428	C₂²	1	1	yes	characteristic, complemented
131	C₄₃×#427	C₂²	1	1	yes	characteristic, complemented
132	C₄₃×#424	C₂²	1	1	yes	characteristic, complemented
133	C₄₃×#418	C₂²	1	1	yes	characteristic
134	C₂×#102×C₄₃	C₂²	1	1	yes	characteristic
135	C₂⁴×D₄₃	—	2	1	no	—
136	C₂×Q₈×D₄₃	—	2	2	no	—
137	C₂²×D₁₇₂	C₂³	1	1	yes	characteristic
138	C₂²×C₂²⋊D₄₃	—	2	1	no	—
139	C₂×D₄×D₄₃	—	2	1	no	—
140	C₂×D₄×D₄₃	—	2	1	no	—
141	C₂×D₄×D₄₃	—	2	4	no	—
142	C₂×D₄×D₄₃	Q₈	1	8	yes	complemented
143	C₂×D₄×D₄₃	C₂³	1	2	yes	—
144	C₂×D₄×D₄₃	C₂³	1	2	yes	—
145	C₂²×C₄×D₄₃	—	2	1	no	—
146	C₂²×C₄×D₄₃	—	2	2	no	—
147	C₂²×C₄×D₄₃	—	2	2	no	—
148	C₂²×C₄×D₄₃	C₂³	1	1	yes	characteristic
149	C₂×#10621877	C₂³	1	1	yes	characteristic
150	C₂×#10621872	C₂³	1	2	yes	—
151	M₁₆×D₄₃	—	2	4	no	—
152	C₂²×C₄₃⋊C₈	C₂³	1	1	yes	characteristic
153	C₂×C₈×D₄₃	—	2	4	no	—
154	C₂×C₈×D₄₃	C₂³	1	1	yes	characteristic
155	C₂×C₈×D₄₃	C₂³	1	1	yes	characteristic
156	C₂×C₈×D₄₃	C₂³	1	1	yes	characteristic
157	C₂×C₈×D₄₃	C₂³	1	1	yes	characteristic
158	C₂×C₈×D₄₃	C₂³	1	2	yes	—
159	#13063325	—	2	1	no	—
160	#13063325	C₂³	1	2	yes	complemented
161	#13063324	—	2	1	no	—
162	#13063324	—	2	1	no	—
163	#13063324	—	2	2	no	—
164	#13063324	—	2	2	no	—
165	#13063324	C₂³	1	2	yes	complemented
166	#13063324	C₂³	1	2	yes	complemented
167	#13063323	—	2	2	no	—
168	#13063323	—	2	2	no	—
169	#13063317	—	2	1	no	—
170	#13063317	C₂³	1	2	yes	complemented
171	#13063316	—	2	1	no	—
172	#13063316	—	2	1	no	—
173	#13063316	C₂³	1	2	yes	complemented
174	#13063316	C₂³	1	2	yes	complemented
175	#13063315	—	2	2	no	—
176	#13063315	—	2	2	no	—
177	#13063315	—	2	2	no	—
178	#13063315	—	2	2	no	—
179	#13063305	—	2	2	no	—
180	#13063304	—	2	2	no	—
181	#13063303	—	2	2	no	—
182	#13063303	—	2	2	no	—
183	#13063302	—	2	2	no	—
184	#13063302	—	2	2	no	—
185	#13063301	—	2	2	no	—
186	C₄×D₁₇₂	—	2	1	no	—
187	C₄×D₁₇₂	—	2	1	no	—
188	C₄×D₁₇₂	C₂³	1	2	yes	—
189	C₄×D₁₇₂	C₂³	1	2	yes	—
190	D₄×Dic₄₃	—	2	1	no	—
191	D₄×Dic₄₃	—	2	1	no	—
192	D₄×Dic₄₃	C₂³	1	2	yes	—
193	D₄×Dic₄₃	C₂³	1	2	yes	—
194	#13063287	—	2	1	no	—
195	#13063287	—	2	1	no	—
196	#13063287	C₂³	1	2	yes	—
197	#13063287	C₂³	1	2	yes	—
198	C₄×C₂²⋊D₄₃	—	2	2	no	—
199	C₄×C₂²⋊D₄₃	—	2	2	no	—
200	C₄×C₂²⋊D₄₃	—	2	2	no	—
201	C₄×C₂²⋊D₄₃	—	2	2	no	—
202	(C₂²⋊D₄₃)⋊C₄	—	2	2	no	—
203	(C₂²⋊D₄₃)⋊C₄	—	2	2	no	—
204	(C₂²⋊D₄₃)⋊C₄	—	2	2	no	—
205	(C₂²⋊D₄₃)⋊C₄	—	2	2	no	—
206	#13063284	C₂³	1	1	yes	characteristic
207	#13063284	C₂³	1	1	yes	characteristic
208	#13063284	C₂³	1	1	yes	characteristic
209	#13063283	D₄	1	1	yes	characteristic
210	#13063283	D₄	1	1	yes	characteristic
211	#13063283	C₂³	1	1	yes	characteristic
212	#13063283	C₂³	1	1	yes	characteristic
213	#13063283	C₂³	1	1	yes	characteristic
214	#13063283	C₂³	1	1	yes	characteristic
215	#13063282	—	2	1	no	—
216	#13063282	—	2	1	no	—
217	#13063282	C₂³	1	2	yes	—
218	#13063281	—	2	1	no	—
219	#13063281	—	2	1	no	—
220	#13063281	D₄	1	2	yes	—
221	C₂×C₄⋊Dic₄₃	C₂³	1	1	yes	characteristic
222	C₂×Dic₄₃⋊C₄	—	2	1	no	—
223	C₄⋊C₄×D₄₃	—	2	1	no	—
224	C₄⋊C₄×D₄₃	—	2	1	no	—
225	C₄⋊C₄×D₄₃	—	2	2	no	—
226	C₄⋊C₄×D₄₃	—	2	2	no	—
227	C₄⋊C₄×D₄₃	—	2	2	no	—
228	C₄⋊C₄×D₄₃	D₄	1	1	yes	characteristic
229	C₄⋊C₄×D₄₃	D₄	1	1	yes	characteristic
230	C₄⋊C₄×D₄₃	C₂³	1	2	yes	—
231	C₄⋊C₄×D₄₃	C₂³	1	2	yes	—
232	C₄⋊C₄×D₄₃	C₂³	1	1	yes	characteristic
233	C₄⋊C₄×D₄₃	C₂³	1	1	yes	characteristic
234	C₄⋊C₄×D₄₃	C₂³	1	1	yes	characteristic
235	C₄⋊C₄×D₄₃	C₂³	1	1	yes	characteristic
236	C₂×C₂²⋊Dic₄₃	—	2	2	no	—
237	C₂×(C₂×D₄₃)⋊C₄	—	2	2	no	—
238	C₂×(C₂×D₄₃)⋊C₄	—	2	2	no	—
239	C₂²⋊C₄×D₄₃	—	2	1	no	—
240	C₂²⋊C₄×D₄₃	—	2	1	no	—
241	C₂²⋊C₄×D₄₃	—	2	2	no	—
242	C₂²⋊C₄×D₄₃	—	2	2	no	—
243	C₂²⋊C₄×D₄₃	—	2	2	no	—
244	C₂²⋊C₄×D₄₃	—	2	2	no	—
245	C₂²⋊C₄×D₄₃	—	2	2	no	—
246	C₂²⋊C₄×D₄₃	—	2	2	no	—
247	C₂²⋊C₄×D₄₃	D₄	1	2	yes	—
248	C₄²×D₄₃	—	2	1	no	—
249	C₄²×D₄₃	—	2	1	no	—
250	C₄²×D₄₃	C₂³	1	2	yes	—
251	#13063259	C₂³	1	1	yes	characteristic, complemented
252	#13063259	C₂³	1	2	yes	complemented
253	#13063259	C₂³	1	1	yes	characteristic, complemented
254	#13063258	C₂³	1	1	yes	characteristic, complemented
255	#13063258	C₂³	1	2	yes	complemented
256	#13063258	C₂³	1	1	yes	characteristic, complemented
257	#13063258	C₂³	1	2	yes	complemented
258	#13063258	C₂³	1	1	yes	characteristic, complemented
259	#13063258	C₂³	1	1	yes	characteristic, complemented
260	#13063257	C₂³	1	1	yes	characteristic, complemented
261	#13063257	C₂³	1	2	yes	complemented
262	#13063257	C₂³	1	1	yes	characteristic, complemented
263	#13063256	C₂³	1	1	yes	characteristic, complemented
264	#13063256	C₂³	1	2	yes	complemented
265	#13063256	C₂³	1	1	yes	characteristic, complemented
266	#13063256	C₂³	1	2	yes	complemented
267	#13063256	C₂³	1	1	yes	characteristic, complemented
268	#13063256	C₂³	1	1	yes	characteristic, complemented
269	C₄⋊(C₄₃⋊C₈)	C₂³	1	2	yes	complemented
270	C₄⋊(C₄₃⋊C₈)	C₂³	1	2	yes	complemented
271	Dic₄₃⋊C₈	C₂³	1	2	yes	complemented
272	Dic₄₃⋊C₈	C₂³	1	2	yes	complemented
273	Dic₄₃⋊C₈	C₂³	1	2	yes	complemented
274	Dic₄₃⋊C₈	C₂³	1	2	yes	complemented
275	#13063247	C₂³	1	2	yes	—
276	#13063247	C₂³	1	2	yes	—
277	#13063247	C₂³	1	2	yes	—
278	#13063247	C₂³	1	2	yes	—
279	#13063246	C₂³	1	2	yes	—
280	#13063246	C₂³	1	2	yes	—
281	#13063246	C₂³	1	2	yes	—
282	#13063246	C₂³	1	2	yes	—
283	#13063245	C₂³	1	2	yes	—
284	#13063245	C₂³	1	2	yes	—
285	#13063245	C₂³	1	2	yes	—
286	#13063245	C₂³	1	2	yes	—
287	C₂²×D₄×C₄₃	C₂³	1	1	yes	characteristic
288	C₂×M₁₆×C₄₃	C₂³	1	1	yes	characteristic
289	C₂²×C₈×C₄₃	C₂³	1	1	yes	characteristic
290	C₄⋊Q₈×C₄₃	—	2	1	no	—
291	C₄⋊Q₈×C₄₃	C₂³	1	2	yes	complemented
292	#125×C₄₃	—	2	1	no	—
293	#125×C₄₃	C₂³	1	2	yes	complemented
294	C₂²⋊Q₈×C₄₃	—	2	2	no	—
295	C₄×D₄×C₄₃	—	2	1	no	—
296	C₄×D₄×C₄₃	—	2	1	no	—
297	C₄×D₄×C₄₃	C₂³	1	2	yes	—
298	C₄×D₄×C₄₃	C₂³	1	2	yes	—
299	#117×C₄₃	C₂³	1	1	yes	characteristic
300	#117×C₄₃	C₂³	1	1	yes	characteristic
301	#117×C₄₃	C₂³	1	1	yes	characteristic
302	C₂×C₄⋊C₄×C₄₃	C₂³	1	1	yes	characteristic
303	C₂×C₂²⋊C₄×C₄₃	—	2	2	no	—
304	#107×C₄₃	C₂³	1	1	yes	characteristic, complemented
305	#107×C₄₃	C₂³	1	2	yes	complemented
306	#107×C₄₃	C₂³	1	1	yes	characteristic, complemented
307	#106×C₄₃	C₂³	1	1	yes	characteristic, complemented
308	#106×C₄₃	C₂³	1	2	yes	complemented
309	#106×C₄₃	C₂³	1	1	yes	characteristic, complemented
310	C₄⋊C₈×C₄₃	C₂³	1	2	yes	complemented
311	C₄⋊C₈×C₄₃	C₂³	1	2	yes	complemented
312	#102×C₄₃	C₂³	1	2	yes	—
313	#102×C₄₃	C₂³	1	2	yes	—
314	#102×C₄₃	C₂³	1	2	yes	—
315	#102×C₄₃	C₂³	1	2	yes	—
316	C₂⁴×C₄₃	—	2	1	no	—
317	C₂³×D₄₃	—	2	1	no	—
318	C₂³×D₄₃	—	2	2	no	—
319	C₂³×D₄₃	—	2	8	no	—
320	C₂³×D₄₃	—	2	2	no	—
321	C₂³×D₄₃	—	8	2	no	—
322	C₂³×D₄₃	—	8	2	no	—
323	C₂³×D₄₃	C₂×D₄	1	1	yes	characteristic
324	C₂×Q₈×C₄₃	—	2	2	no	—
325	C₂×D₄×C₄₃	—	2	1	no	—
326	C₂×D₄×C₄₃	—	2	2	no	—
327	C₂×D₄×C₄₃	C₂×Q₈	1	4	yes	complemented
328	C₂×D₄×C₄₃	C₂⁴	1	2	yes	—
329	C₂²×C₄×C₄₃	—	2	2	no	—
330	C₂²×C₄×C₄₃	—	2	2	no	—
331	C₂²×C₄×C₄₃	—	2	1	no	—
332	C₂²×C₄×C₄₃	C₂⁴	1	1	yes	characteristic
333	C₂×C₂²⋊D₄₃	—	2	8	no	—
334	C₂×C₂²⋊D₄₃	—	2	2	no	—
335	C₂×C₂²⋊D₄₃	—	2	2	no	—
336	C₂²×Dic₄₃	—	2	2	no	—
337	C₂²×Dic₄₃	—	2	2	no	—
338	C₂²×Dic₄₃	—	2	1	no	—
339	C₂²×Dic₄₃	C₂×D₄	1	1	yes	characteristic
340	Q₈×D₄₃	—	8	4	no	—
341	D₄×D₄₃	—	2	8	no	—
342	D₄×D₄₃	—	2	8	no	—
343	D₄×D₄₃	—	2	4	no	—
344	D₄×D₄₃	—	2	4	no	—
345	D₄×D₄₃	C₂×Q₈	1	8	yes	—
346	D₄×D₄₃	C₂×Q₈	1	8	yes	complemented
347	C₂×D₁₇₂	—	2	1	no	—
348	C₂×D₁₇₂	—	2	2	no	—
349	C₂×D₁₇₂	C₂×Q₈	1	4	yes	complemented
350	C₂×D₁₇₂	C₂⁴	1	2	yes	—
351	C₂×C₄×D₄₃	—	2	2	no	—
352	C₂×C₄×D₄₃	—	2	2	no	—
353	C₂×C₄×D₄₃	—	2	2	no	—
354	C₂×C₄×D₄₃	—	2	2	no	—
355	C₂×C₄×D₄₃	—	2	1	no	—
356	C₂×C₄×D₄₃	—	2	1	no	—
357	C₂×C₄×D₄₃	—	2	1	no	—
358	C₂×C₄×D₄₃	—	2	1	no	—
359	C₂×C₄×D₄₃	—	2	2	no	—
360	C₂×C₄×D₄₃	—	2	2	no	—
361	C₂×C₄×D₄₃	—	8	2	no	—
362	C₂×C₄×D₄₃	—	8	4	no	—
363	C₂×C₄×D₄₃	—	8	4	no	—
364	C₂×C₄×D₄₃	C₂×D₄	1	2	yes	—
365	C₂×C₄×D₄₃	C₂×D₄	1	2	yes	—
366	C₂×C₄×D₄₃	C₂×D₄	1	1	yes	characteristic
367	C₂×C₄×D₄₃	C₂×D₄	1	1	yes	characteristic
368	C₂×C₄×D₄₃	C₂×Q₈	1	4	yes	—
369	C₂×C₄×D₄₃	#41	1	4	yes	—
370	C₂×C₄×D₄₃	C₂⁴	1	1	yes	characteristic
371	C₂×C₄×D₄₃	C₂⁴	1	1	yes	characteristic
372	C₂×Dic₈₆	—	2	2	no	—
373	C₂×Dic₈₆	—	2	2	no	—
374	C₂×Dic₈₆	—	2	2	no	—
375	M₁₆×C₄₃	—	2	2	no	—
376	C₂×C₈×C₄₃	—	2	2	no	—
377	C₂×C₈×C₄₃	C₂⁴	1	1	yes	characteristic
378	C₂×C₈×C₄₃	C₂⁴	1	2	yes	—
379	C₂×C₈×C₄₃	C₂⁴	1	1	yes	characteristic
380	C₄⋊C₄×C₄₃	—	2	1	no	—
381	C₄⋊C₄×C₄₃	—	2	2	no	—
382	C₄⋊C₄×C₄₃	—	2	2	no	—
383	C₄⋊C₄×C₄₃	—	2	2	no	—
384	C₄⋊C₄×C₄₃	C₂×D₄	1	1	yes	characteristic
385	C₄⋊C₄×C₄₃	C₂×D₄	1	1	yes	characteristic
386	C₄⋊C₄×C₄₃	C₂⁴	1	2	yes	—
387	C₄⋊C₄×C₄₃	C₂⁴	1	1	yes	characteristic
388	C₄⋊C₄×C₄₃	C₂⁴	1	1	yes	characteristic
389	C₄⋊C₄×C₄₃	C₂⁴	1	1	yes	characteristic
390	C₄⋊C₄×C₄₃	C₂⁴	1	1	yes	characteristic
391	C₂²⋊C₄×C₄₃	—	2	2	no	—
392	C₂²⋊C₄×C₄₃	—	2	2	no	—
393	C₂²⋊C₄×C₄₃	—	2	1	no	—
394	C₂²⋊C₄×C₄₃	—	2	1	no	—
395	C₂²⋊C₄×C₄₃	C₂×D₄	1	2	yes	—
396	C₄²×C₄₃	—	2	1	no	—
397	C₄²×C₄₃	—	2	1	no	—
398	C₄²×C₄₃	C₂⁴	1	2	yes	—
399	C₂²⋊Dic₄₃	—	2	2	no	—
400	C₂²⋊Dic₄₃	—	2	2	no	—
401	C₂²⋊Dic₄₃	—	2	1	no	—
402	C₂²⋊Dic₄₃	—	2	1	no	—
403	C₂²⋊Dic₄₃	C₂×D₄	1	2	yes	—
404	(C₂×D₄₃)⋊C₄	—	2	2	no	—
405	(C₂×D₄₃)⋊C₄	—	2	2	no	—
406	(C₂×D₄₃)⋊C₄	—	2	2	no	—
407	(C₂×D₄₃)⋊C₄	—	2	2	no	—
408	(C₂×D₄₃)⋊C₄	—	2	1	no	—
409	(C₂×D₄₃)⋊C₄	—	2	1	no	—
410	(C₂×D₄₃)⋊C₄	—	2	1	no	—
411	(C₂×D₄₃)⋊C₄	—	2	1	no	—
412	(C₂×D₄₃)⋊C₄	C₂×D₄	1	2	yes	—
413	(C₂×D₄₃)⋊C₄	C₂×D₄	1	2	yes	—
414	C₄⋊Dic₄₃	—	2	1	no	—
415	C₄⋊Dic₄₃	—	2	2	no	—
416	C₄⋊Dic₄₃	—	2	2	no	—
417	C₄⋊Dic₄₃	—	2	2	no	—
418	C₄⋊Dic₄₃	C₂×D₄	1	1	yes	characteristic
419	C₄⋊Dic₄₃	C₂×D₄	1	1	yes	characteristic
420	C₄⋊Dic₄₃	C₂⁴	1	2	yes	—
421	C₄⋊Dic₄₃	C₂⁴	1	1	yes	characteristic
422	C₄⋊Dic₄₃	C₂⁴	1	1	yes	characteristic
423	C₄⋊Dic₄₃	C₂⁴	1	1	yes	characteristic
424	C₄⋊Dic₄₃	C₂⁴	1	1	yes	characteristic
425	Dic₄₃⋊C₄	—	2	2	no	—
426	Dic₄₃⋊C₄	—	2	2	no	—
427	Dic₄₃⋊C₄	—	2	2	no	—
428	Dic₄₃⋊C₄	—	2	2	no	—
429	Dic₄₃⋊C₄	—	2	2	no	—
430	Dic₄₃⋊C₄	—	2	2	no	—
431	Dic₄₃⋊C₄	—	2	2	no	—
432	Dic₄₃⋊C₄	—	2	2	no	—
433	Dic₄₃⋊C₄	—	2	1	no	—
434	Dic₄₃⋊C₄	—	2	1	no	—
435	Dic₄₃⋊C₄	—	2	1	no	—
436	Dic₄₃⋊C₄	—	2	1	no	—
437	Dic₄₃⋊C₄	C₂×D₄	1	2	yes	—
438	Dic₄₃⋊C₄	C₂×D₄	1	2	yes	—
439	C₄×Dic₄₃	—	2	1	no	—
440	C₄×Dic₄₃	—	2	1	no	—
441	C₄×Dic₄₃	—	2	1	no	—
442	C₄×Dic₄₃	—	2	1	no	—
443	C₄×Dic₄₃	—	2	1	no	—
444	C₄×Dic₄₃	—	2	1	no	—
445	C₄×Dic₄₃	C₂×D₄	1	2	yes	—
446	C₄×Dic₄₃	C₂×D₄	1	2	yes	—
447	C₄×Dic₄₃	C₂⁴	1	2	yes	—
448	#10621877	—	2	2	no	—
449	C₂×C₄₃⋊C₈	—	2	2	no	—
450	C₂×C₄₃⋊C₈	C₂⁴	1	1	yes	characteristic
451	C₂×C₄₃⋊C₈	C₂⁴	1	2	yes	—
452	C₂×C₄₃⋊C₈	C₂⁴	1	1	yes	characteristic
453	#10621872	—	2	4	no	—
454	C₈×D₄₃	—	2	2	no	—
455	C₈×D₄₃	—	2	2	no	—
456	C₈×D₄₃	—	2	2	no	—
457	C₈×D₄₃	—	2	2	no	—
458	C₈×D₄₃	—	2	4	no	—
459	C₂³×C₄₃	—	2	2	no	—
460	C₂³×C₄₃	—	2	4	no	—
461	C₂³×C₄₃	—	8	1	no	—
462	C₂³×C₄₃	—	8	1	no	—
463	C₂³×C₄₃	C₂²×D₄	1	1	yes	characteristic
464	C₂²×D₄₃	—	2	2	no	—
465	C₂²×D₄₃	—	2	2	no	—
466	C₂²×D₄₃	—	2	2	no	—
467	C₂²×D₄₃	—	2	4	no	—
468	C₂²×D₄₃	—	2	8	no	—
469	C₂²×D₄₃	—	2	8	no	—
470	C₂²×D₄₃	—	4	4	no	—
471	C₂²×D₄₃	—	4	4	no	—
472	C₂²×D₄₃	—	8	16	no	—
473	C₂²×D₄₃	—	8	2	no	—
474	C₂²×D₄₃	—	8	2	no	—
475	C₂²×D₄₃	—	8	1	no	—
476	C₂²×D₄₃	—	8	1	no	—
477	C₂²×D₄₃	C₂²⋊Q₈	1	4	yes	—
478	C₂²×D₄₃	C₂²×D₄	1	1	yes	characteristic
479	C₂²×D₄₃	C₂²×D₄	1	1	yes	characteristic
480	Q₈×C₄₃	—	8	2	no	—
481	D₄×C₄₃	—	2	4	no	—
482	D₄×C₄₃	—	2	2	no	—
483	D₄×C₄₃	C₂²×Q₈	1	4	yes	—
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	2	no	—
489	C₂×C₄×C₄₃	—	8	2	no	—
490	C₂×C₄×C₄₃	—	8	2	no	—
491	C₂×C₄×C₄₃	—	8	1	no	—
492	C₂×C₄×C₄₃	C₂²×D₄	1	2	yes	—
493	C₂×C₄×C₄₃	C₂²×D₄	1	2	yes	—
494	C₂×C₄×C₄₃	C₂²×D₄	1	1	yes	characteristic
495	C₂×C₄×C₄₃	C₂²×Q₈	1	2	yes	—
496	C₂×C₄×C₄₃	C₂×#41	1	2	yes	—
497	C₂×C₄×C₄₃	C₂⁵	1	1	yes	characteristic
498	C₂²⋊D₄₃	—	2	8	no	—
499	C₂²⋊D₄₃	—	2	8	no	—
500	C₂×Dic₄₃	—	2	1	no	—
501	C₂×Dic₄₃	—	2	1	no	—
502	C₂×Dic₄₃	—	2	1	no	—
503	C₂×Dic₄₃	—	2	1	no	—
504	C₂×Dic₄₃	—	2	2	no	—
505	C₂×Dic₄₃	—	8	2	no	—
506	C₂×Dic₄₃	—	8	2	no	—
507	C₂×Dic₄₃	—	8	1	no	—
508	C₂×Dic₄₃	C₂²⋊Q₈	1	4	yes	—
509	C₂×Dic₄₃	C₂²×D₄	1	2	yes	—
510	C₂×Dic₄₃	C₂²×D₄	1	2	yes	—
511	C₂×Dic₄₃	C₂²×D₄	1	1	yes	characteristic
512	C₂×Dic₄₃	C₂²×D₄	1	1	yes	characteristic
513	D₁₇₂	—	2	4	no	—
514	D₁₇₂	—	2	2	no	—
515	D₁₇₂	C₂²×Q₈	1	4	yes	—
516	C₄×D₄₃	—	2	4	no	—
517	C₄×D₄₃	—	2	4	no	—
518	C₄×D₄₃	—	4	2	no	—
519	C₄×D₄₃	—	4	4	no	—
520	C₄×D₄₃	—	4	2	no	—
521	C₄×D₄₃	—	4	2	no	—
522	C₄×D₄₃	—	4	2	no	—
523	C₄×D₄₃	—	8	2	no	—
524	C₄×D₄₃	—	8	2	no	—
525	C₄×D₄₃	—	8	2	no	—
526	C₄×D₄₃	—	8	2	no	—
527	C₄×D₄₃	—	8	2	no	—
528	C₄×D₄₃	C₂²⋊Q₈	1	4	yes	—
529	C₄×D₄₃	C₂²⋊Q₈	1	4	yes	—
530	C₄×D₄₃	C₂²×Q₈	1	2	yes	—
531	C₄×D₄₃	C₂²×Q₈	1	2	yes	—
532	C₄×D₄₃	C₂×#41	1	2	yes	—
533	C₄×D₄₃	C₂×#41	1	2	yes	—
534	Dic₈₆	—	8	2	no	—
535	Dic₈₆	—	8	2	no	—
536	Dic₈₆	—	8	2	no	—
537	C₈×C₄₃	—	2	1	no	—
538	C₈×C₄₃	—	2	1	no	—
539	C₈×C₄₃	—	2	2	no	—
540	C₄₃⋊C₈	—	2	1	no	—
541	C₄₃⋊C₈	—	2	1	no	—
542	C₄₃⋊C₈	—	2	2	no	—
543	C₂×#3081	—	43	1	no	maximal, Sylow
544	C₂²×C₄₃	—	2	1	no	—
545	C₂²×C₄₃	—	2	1	no	—
546	C₂²×C₄₃	—	2	4	no	—
547	C₂²×C₄₃	—	4	2	no	—
548	C₂²×C₄₃	—	4	2	no	—
549	C₂²×C₄₃	—	8	4	no	—
550	C₂²×C₄₃	C₂×C₂²⋊Q₈	1	2	yes	—
551	C₂²×C₄₃	C₂³×D₄	1	1	yes	characteristic
552	C₂×D₄₃	—	2	1	no	—
553	C₂×D₄₃	—	2	1	no	—
554	C₂×D₄₃	—	2	8	no	—
555	C₂×D₄₃	—	2	4	no	—
556	C₂×D₄₃	—	4	2	no	—
557	C₂×D₄₃	—	4	2	no	—
558	C₂×D₄₃	—	4	16	no	—
559	C₂×D₄₃	—	8	8	no	—
560	C₂×D₄₃	—	8	4	no	—
561	C₂×D₄₃	C₂×C₂²⋊Q₈	1	2	yes	—
562	C₂×D₄₃	C₂×C₂²⋊Q₈	1	2	yes	—
563	C₂×D₄₃	#576	1	2	yes	—
564	C₂×D₄₃	#577	1	2	yes	—
565	C₄×C₄₃	—	2	2	no	—
566	C₄×C₄₃	—	2	2	no	—
567	C₄×C₄₃	—	4	1	no	—
568	C₄×C₄₃	—	4	2	no	—
569	C₄×C₄₃	—	4	1	no	—
570	C₄×C₄₃	—	4	1	no	—
571	C₄×C₄₃	—	4	1	no	—
572	C₄×C₄₃	C₂×C₂²⋊Q₈	1	2	yes	—
573	C₄×C₄₃	C₂³×Q₈	1	1	yes	characteristic
574	C₄×C₄₃	C₂²×#41	1	1	yes	characteristic
575	Dic₄₃	—	2	2	no	—
576	Dic₄₃	—	2	2	no	—
577	Dic₄₃	—	4	1	no	—
578	Dic₄₃	—	4	2	no	—
579	Dic₄₃	—	4	1	no	—
580	Dic₄₃	—	4	1	no	—
581	Dic₄₃	—	4	1	no	—
582	Dic₄₃	C₂×C₂²⋊Q₈	1	2	yes	—
583	Dic₄₃	C₂×C₂²⋊Q₈	1	2	yes	—
584	C₂×#544	—	43	1	no	—
585	C₂×#518	—	43	1	no	—
586	#3081	—	43	2	no	—
587	#3081	—	43	2	no	—
588	#3081	—	43	2	no	—
589	#3081	—	43	2	no	—
590	#3081	—	43	1	no	—
591	#3081	—	43	1	no	—
592	#3081	—	43	1	no	—
593	#3081	—	43	1	no	—
594	#3081	—	43	1	no	—
595	#3081	—	43	1	no	—
596	#3081	—	43	1	no	—
597	#3081	D₄₃	1	1	yes	characteristic, direct product factor
598	C₂×#478	—	43	2	no	—
599	C₂×#478	—	43	2	no	—
600	C₂×#476	—	43	2	no	—
601	C₂×#474	—	43	2	no	—
602	C₂×#428	—	43	1	no	—
603	C₂×#427	—	43	1	no	—
604	C₂×#424	—	43	1	no	—
605	C₂×#418	—	43	1	no	—
606	C₂²×#102	—	43	1	no	—
607	C₂×C₄₃	—	2	2	no	—
608	C₂×C₄₃	—	4	4	no	—
609	C₂×C₄₃	C₂²×C₂²⋊Q₈	1	1	yes	characteristic
610	C₂×C₄₃	C₂×#576	1	1	yes	characteristic
611	C₂×C₄₃	C₂×#577	1	1	yes	characteristic
612	D₄₃	—	2	2	no	—
613	D₄₃	—	4	4	no	—
614	D₄₃	#3081	1	4	yes	direct product factor
615	C₂³×D₄	—	43	1	no	—
616	C₂²×M₁₆	—	43	1	no	—
617	C₂³×C₈	—	43	1	no	—
618	#544	—	43	2	no	—
619	#544	—	43	2	no	—
620	#544	—	43	1	no	—
621	#544	—	43	1	no	—
622	#544	—	43	1	no	—
623	#544	—	86	2	no	—
624	#544	—	86	1	no	—
625	#544	—	86	1	no	—
626	#544	C₂×D₄₃	1	1	yes	characteristic, complemented
627	C₂×C₄⋊Q₈	—	43	2	no	—
628	C₂×C₄⋊Q₈	—	86	1	no	—
629	C₂×#125	—	43	2	no	—
630	C₂×#125	—	86	1	no	—
631	C₂×C₂²⋊Q₈	—	86	2	no	—
632	#518	—	43	1	no	—
633	#518	—	43	2	no	—
634	#518	—	43	2	no	—
635	#518	—	43	1	no	—
636	#518	—	43	1	no	—
637	#518	—	86	2	no	—
638	#518	—	86	1	no	—
639	#518	—	86	1	no	—
640	#518	C₂×D₄₃	1	1	yes	characteristic
641	C₂×C₄×D₄	—	43	2	no	—
642	C₂×C₄×D₄	—	43	2	no	—
643	C₂×C₄×D₄	—	86	1	no	—
644	C₂×C₄×D₄	—	86	1	no	—
645	C₂×#117	—	43	1	no	—
646	C₂×#117	—	43	1	no	—
647	C₂×#117	—	43	1	no	—
648	C₂²×C₄⋊C₄	—	43	1	no	—
649	C₂²×C₂²⋊C₄	—	86	2	no	—
650	#478	—	43	2	no	—
651	#478	—	43	2	no	—
652	#478	—	43	2	no	—
653	#478	—	43	2	no	—
654	#478	—	43	2	no	—
655	#478	—	43	2	no	—
656	#478	—	43	2	no	—
657	#478	—	43	2	no	—
658	#478	—	43	2	no	—
659	#478	—	43	2	no	—
660	#478	—	43	2	no	—
661	#478	—	43	2	no	—
662	#478	—	43	2	no	—
663	#478	—	43	2	no	—
664	#478	C₂×D₄₃	1	2	yes	complemented
665	#478	C₂×D₄₃	1	2	yes	complemented
666	#476	—	43	2	no	—
667	#476	—	43	2	no	—
668	#476	—	43	2	no	—
669	#476	—	43	2	no	—
670	#476	—	43	2	no	—
671	#476	—	43	2	no	—
672	#476	—	43	2	no	—
673	#476	C₂×D₄₃	1	2	yes	complemented
674	#474	—	43	2	no	—
675	#474	—	43	2	no	—
676	#474	—	43	2	no	—
677	#474	—	43	2	no	—
678	#474	—	43	2	no	—
679	#474	—	43	2	no	—
680	#474	—	43	2	no	—
681	#474	C₂×D₄₃	1	2	yes	complemented
682	#428	—	43	1	no	—
683	#428	—	43	1	no	—
684	#428	—	43	1	no	—
685	#428	—	43	2	no	—
686	#428	—	43	2	no	—
687	#428	C₂×D₄₃	1	1	yes	characteristic, complemented
688	#427	—	43	1	no	—
689	#427	—	43	1	no	—
690	#427	—	43	1	no	—
691	#427	—	43	1	no	—
692	#427	—	43	1	no	—
693	#427	—	43	1	no	—
694	#427	—	43	1	no	—
695	#427	C₂×D₄₃	1	1	yes	characteristic, complemented
696	C₂×#107	—	43	1	no	—
697	C₂×#107	—	43	2	no	—
698	C₂×#107	—	43	1	no	—
699	C₂×#106	—	43	1	no	—
700	C₂×#106	—	43	2	no	—
701	C₂×#106	—	43	1	no	—
702	#424	—	43	1	no	—
703	#424	—	43	1	no	—
704	#424	—	43	1	no	—
705	#424	—	43	2	no	—
706	#424	—	43	2	no	—
707	#424	C₂×D₄₃	1	1	yes	characteristic, complemented
708	C₂×C₄⋊C₈	—	43	2	no	—
709	C₂×C₄⋊C₈	—	43	2	no	—
710	#418	—	43	1	no	—
711	#418	—	43	1	no	—
712	#418	—	43	1	no	—
713	#418	—	43	2	no	—
714	#418	—	43	2	no	—
715	#418	C₂×D₄₃	1	1	yes	characteristic
716	C₂×#102	—	43	1	no	—
717	C₂×#102	—	43	1	no	—
718	C₂×#102	—	43	1	no	—
719	C₂×#102	—	43	2	no	—
720	C₂×#102	—	43	2	no	—
721	C₂×#102	—	43	2	no	—
722	C₂×#102	—	43	2	no	—
723	C₂×#102	—	43	2	no	—
724	C₂×#102	—	43	2	no	—
725	C₂×#102	C₂×D₄₃	1	1	yes	characteristic
726	C₄₃	C₂×#3081	1	1	yes	characteristic, complemented, Sylow
727	C₂⁵	—	86	1	no	—
728	C₂²×Q₈	—	86	2	no	—
729	C₂²×D₄	—	43	8	no	—
730	C₂²×D₄	—	43	2	no	—
731	C₂²×D₄	—	43	2	no	—
732	C₂²×D₄	—	43	1	no	—
733	C₂²×D₄	—	86	1	no	—
734	C₂²×D₄	—	86	1	no	—
735	C₂²×D₄	—	86	4	no	—
736	C₂²×D₄	—	86	1	no	—
737	C₂²×D₄	C₂²×D₄₃	1	1	yes	characteristic
738	C₂³×C₄	—	43	1	no	—
739	C₂³×C₄	—	86	2	no	—
740	C₂³×C₄	—	86	2	no	—
741	C₂³×C₄	—	86	1	no	—
742	C₂×M₁₆	—	43	1	no	—
743	C₂×M₁₆	—	43	2	no	—
744	C₂×M₁₆	—	86	4	no	—
745	C₂×M₁₆	C₂²×D₄₃	1	1	yes	characteristic
746	C₂²×C₈	—	43	1	no	—
747	C₂²×C₈	—	43	1	no	—
748	C₂²×C₈	—	43	1	no	—
749	C₂²×C₈	—	43	1	no	—
750	C₂²×C₈	—	43	1	no	—
751	C₂²×C₈	—	43	2	no	—
752	C₂²×C₈	—	86	4	no	—
753	C₂²×C₈	C₂²×D₄₃	1	1	yes	characteristic
754	C₄⋊Q₈	—	2	1	no	—
755	C₄⋊Q₈	—	43	2	no	—
756	C₄⋊Q₈	—	43	2	no	—
757	C₄⋊Q₈	—	43	2	no	—
758	C₄⋊Q₈	—	86	1	no	—
759	C₄⋊Q₈	—	86	2	no	—
760	C₄⋊Q₈	—	86	2	no	—
761	C₄⋊Q₈	—	86	2	no	—
762	C₄⋊Q₈	—	86	1	no	—
763	C₄⋊Q₈	—	86	2	no	—
764	C₄⋊Q₈	—	86	1	no	—
765	C₄⋊Q₈	C₂²×D₄₃	1	2	yes	complemented
766	#125	—	2	1	no	—
767	#125	—	43	2	no	—
768	#125	—	43	2	no	—
769	#125	—	43	2	no	—
770	#125	—	86	1	no	—
771	#125	—	86	2	no	—
772	#125	—	86	2	no	—
773	#125	—	86	2	no	—
774	#125	—	86	2	no	—
775	#125	—	86	1	no	—
776	#125	—	86	1	no	—
777	#125	C₂²×D₄₃	1	2	yes	complemented
778	C₂²⋊Q₈	—	2	2	no	—
779	C₂²⋊Q₈	—	86	2	no	—
780	C₂²⋊Q₈	—	86	2	no	—
781	C₂²⋊Q₈	—	86	2	no	—
782	C₂²⋊Q₈	—	86	2	no	—
783	C₂²⋊Q₈	—	86	2	no	—
784	C₂²⋊Q₈	—	86	2	no	—
785	C₂²⋊Q₈	—	86	2	no	—
786	C₄×D₄	—	2	1	no	—
787	C₄×D₄	—	2	1	no	—
788	C₄×D₄	—	43	2	no	—
789	C₄×D₄	—	43	2	no	—
790	C₄×D₄	—	43	2	no	—
791	C₄×D₄	—	43	2	no	—
792	C₄×D₄	—	43	2	no	—
793	C₄×D₄	—	43	2	no	—
794	C₄×D₄	—	86	1	no	—
795	C₄×D₄	—	86	1	no	—
796	C₄×D₄	—	86	2	no	—
797	C₄×D₄	—	86	2	no	—
798	C₄×D₄	—	86	2	no	—
799	C₄×D₄	—	86	2	no	—
800	C₄×D₄	—	86	2	no	—
801	C₄×D₄	—	86	2	no	—
802	C₄×D₄	—	86	2	no	—
803	C₄×D₄	—	86	2	no	—
804	C₄×D₄	—	86	1	no	—
805	C₄×D₄	—	86	1	no	—
806	C₄×D₄	—	86	1	no	—
807	C₄×D₄	—	86	1	no	—
808	C₄×D₄	C₂²×D₄₃	1	2	yes	—
809	C₄×D₄	C₂²×D₄₃	1	2	yes	—
810	#117	—	43	1	no	—
811	#117	—	43	1	no	—
812	#117	—	43	1	no	—
813	#117	—	43	2	no	—
814	#117	—	43	2	no	—
815	#117	—	43	1	no	—
816	#117	—	43	1	no	—
817	#117	—	43	1	no	—
818	#117	—	43	1	no	—
819	#117	—	43	1	no	—
820	#117	—	43	1	no	—
821	#117	—	86	1	no	—
822	#117	—	86	1	no	—
823	#117	—	86	1	no	—
824	#117	—	86	1	no	—
825	#117	C₂²×D₄₃	1	1	yes	characteristic
826	#117	C₂²×D₄₃	1	1	yes	characteristic
827	#117	C₂²×D₄₃	1	1	yes	characteristic
828	C₂×C₄⋊C₄	—	43	1	no	—
829	C₂×C₄⋊C₄	—	43	1	no	—
830	C₂×C₄⋊C₄	—	43	1	no	—
831	C₂×C₄⋊C₄	—	43	2	no	—
832	C₂×C₄⋊C₄	—	43	2	no	—
833	C₂×C₄⋊C₄	—	43	1	no	—
834	C₂×C₄⋊C₄	—	43	1	no	—
835	C₂×C₄⋊C₄	—	43	1	no	—
836	C₂×C₄⋊C₄	—	43	1	no	—
837	C₂×C₄⋊C₄	—	86	1	no	—
838	C₂×C₄⋊C₄	—	86	1	no	—
839	C₂×C₄⋊C₄	—	86	2	no	—
840	C₂×C₄⋊C₄	—	86	2	no	—
841	C₂×C₄⋊C₄	—	86	2	no	—
842	C₂×C₄⋊C₄	—	86	1	no	—
843	C₂×C₄⋊C₄	C₂²×D₄₃	1	1	yes	characteristic
844	C₂×C₂²⋊C₄	—	2	2	no	—
845	C₂×C₂²⋊C₄	—	43	2	no	—
846	C₂×C₂²⋊C₄	—	86	2	no	—
847	C₂×C₂²⋊C₄	—	86	2	no	—
848	C₂×C₂²⋊C₄	—	86	2	no	—
849	C₂×C₂²⋊C₄	—	86	2	no	—
850	C₂×C₂²⋊C₄	—	86	2	no	—
851	C₂×C₂²⋊C₄	—	86	1	no	—
852	C₂×C₂²⋊C₄	—	86	1	no	—
853	C₂×C₂²⋊C₄	—	86	2	no	—
854	C₂×C₂²⋊C₄	—	86	2	no	—
855	C₂×C₂²⋊C₄	—	86	2	no	—
856	C₂×C₂²⋊C₄	—	86	2	no	—
857	C₂×C₄²	—	43	2	no	—
858	C₂×C₄²	—	86	1	no	—
859	C₂×C₄²	—	86	1	no	—
860	#107	—	43	1	no	—
861	#107	—	43	1	no	—
862	#107	—	43	2	no	—
863	#107	—	43	1	no	—
864	#107	—	43	1	no	—
865	#107	—	43	1	no	—
866	#107	—	43	1	no	—
867	#107	—	43	2	no	—
868	#107	—	43	2	no	—
869	#107	C₂²×D₄₃	1	1	yes	characteristic, complemented
870	#107	C₂²×D₄₃	1	1	yes	characteristic, complemented
871	#107	C₂²×D₄₃	1	2	yes	complemented
872	#106	—	43	1	no	—
873	#106	—	43	1	no	—
874	#106	—	43	2	no	—
875	#106	—	43	1	no	—
876	#106	—	43	1	no	—
877	#106	—	43	1	no	—
878	#106	—	43	1	no	—
879	#106	—	43	2	no	—
880	#106	—	43	2	no	—
881	#106	C₂²×D₄₃	1	1	yes	characteristic, complemented
882	#106	C₂²×D₄₃	1	1	yes	characteristic, complemented
883	#106	C₂²×D₄₃	1	2	yes	complemented
884	C₄⋊C₈	—	43	2	no	—
885	C₄⋊C₈	—	43	2	no	—
886	C₄⋊C₈	—	43	2	no	—
887	C₄⋊C₈	—	43	2	no	—
888	C₄⋊C₈	—	43	2	no	—
889	C₄⋊C₈	—	43	2	no	—
890	C₄⋊C₈	C₂²×D₄₃	1	2	yes	complemented
891	C₄⋊C₈	C₂²×D₄₃	1	2	yes	complemented
892	#102	—	43	2	no	—
893	#102	—	43	2	no	—
894	#102	—	43	2	no	—
895	#102	—	43	2	no	—
896	#102	—	43	2	no	—
897	#102	—	43	2	no	—
898	#102	—	43	2	no	—
899	#102	—	43	2	no	—
900	#102	—	43	2	no	—
901	#102	—	43	2	no	—
902	#102	—	43	2	no	—
903	#102	—	43	2	no	—
904	#102	C₂²×D₄₃	1	2	yes	—
905	#102	C₂²×D₄₃	1	2	yes	—
906	#102	C₂²×D₄₃	1	2	yes	—
907	#102	C₂²×D₄₃	1	2	yes	—
908	C₂⁴	—	2	1	no	—
909	C₂⁴	—	43	1	no	—
910	C₂⁴	—	86	2	no	—
911	C₂⁴	—	86	8	no	—
912	C₂⁴	—	86	2	no	—
913	C₂⁴	—	86	1	no	—
914	C₂⁴	—	344	2	no	—
915	C₂⁴	—	344	2	no	—
916	C₂×Q₈	—	2	2	no	—
917	C₂×Q₈	—	86	2	no	—
918	C₂×Q₈	—	86	2	no	—
919	C₂×Q₈	—	86	2	no	—
920	C₂×Q₈	—	344	4	no	—
921	C₂×D₄	—	2	1	no	—
922	C₂×D₄	—	2	2	no	—
923	C₂×D₄	—	43	8	no	—
924	C₂×D₄	—	43	8	no	—
925	C₂×D₄	—	43	4	no	—
926	C₂×D₄	—	43	2	no	—
927	C₂×D₄	—	86	8	no	—
928	C₂×D₄	—	86	8	no	—
929	C₂×D₄	—	86	4	no	—
930	C₂×D₄	—	86	4	no	—
931	C₂×D₄	—	86	2	no	—
932	C₂×D₄	—	86	2	no	—
933	C₂×D₄	—	86	8	no	—
934	C₂×D₄	—	86	1	no	—
935	C₂×D₄	—	86	2	no	—
936	C₂×D₄	Q₈×D₄₃	1	4	yes	complemented
937	C₂×D₄	C₂³×D₄₃	1	2	yes	—
938	C₂²×C₄	—	2	1	no	—
939	C₂²×C₄	—	2	2	no	—
940	C₂²×C₄	—	2	2	no	—
941	C₂²×C₄	—	43	1	no	—
942	C₂²×C₄	—	43	1	no	—
943	C₂²×C₄	—	43	1	no	—
944	C₂²×C₄	—	43	4	no	—
945	C₂²×C₄	—	43	4	no	—
946	C₂²×C₄	—	43	1	no	—
947	C₂²×C₄	—	43	1	no	—
948	C₂²×C₄	—	43	2	no	—
949	C₂²×C₄	—	43	2	no	—
950	C₂²×C₄	—	86	2	no	—
951	C₂²×C₄	—	86	2	no	—
952	C₂²×C₄	—	86	2	no	—
953	C₂²×C₄	—	86	1	no	—
954	C₂²×C₄	—	86	1	no	—
955	C₂²×C₄	—	86	1	no	—
956	C₂²×C₄	—	86	1	no	—
957	C₂²×C₄	—	86	2	no	—
958	C₂²×C₄	—	86	2	no	—
959	C₂²×C₄	—	86	2	no	—
960	C₂²×C₄	—	86	1	no	—
961	C₂²×C₄	—	86	2	no	—
962	C₂²×C₄	—	86	2	no	—
963	C₂²×C₄	—	344	4	no	—
964	C₂²×C₄	—	344	4	no	—
965	C₂²×C₄	—	344	2	no	—
966	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
967	M₁₆	—	2	2	no	—
968	M₁₆	—	86	4	no	—
969	M₁₆	—	86	2	no	—
970	C₂×C₈	—	2	2	no	—
971	C₂×C₈	—	43	1	no	—
972	C₂×C₈	—	43	2	no	—
973	C₂×C₈	—	43	1	no	—
974	C₂×C₈	—	86	2	no	—
975	C₂×C₈	—	86	2	no	—
976	C₂×C₈	—	86	2	no	—
977	C₂×C₈	—	86	2	no	—
978	C₂×C₈	—	86	4	no	—
979	C₂×C₈	—	86	2	no	—
980	C₂×C₈	C₂³×D₄₃	1	1	yes	characteristic
981	C₂×C₈	C₂³×D₄₃	1	2	yes	—
982	C₂×C₈	C₂³×D₄₃	1	1	yes	characteristic
983	C₄⋊C₄	—	2	1	no	—
984	C₄⋊C₄	—	2	2	no	—
985	C₄⋊C₄	—	2	2	no	—
986	C₄⋊C₄	—	2	2	no	—
987	C₄⋊C₄	—	43	2	no	—
988	C₄⋊C₄	—	43	1	no	—
989	C₄⋊C₄	—	43	2	no	—
990	C₄⋊C₄	—	43	1	no	—
991	C₄⋊C₄	—	43	2	no	—
992	C₄⋊C₄	—	43	1	no	—
993	C₄⋊C₄	—	43	1	no	—
994	C₄⋊C₄	—	43	1	no	—
995	C₄⋊C₄	—	43	1	no	—
996	C₄⋊C₄	—	86	2	no	—
997	C₄⋊C₄	—	86	2	no	—
998	C₄⋊C₄	—	86	1	no	—
999	C₄⋊C₄	—	86	1	no	—
1000	C₄⋊C₄	—	86	1	no	—
1001	C₄⋊C₄	—	86	1	no	—
1002	C₄⋊C₄	—	86	2	no	—
1003	C₄⋊C₄	—	86	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	1	no	—
1009	C₄⋊C₄	—	86	2	no	—
1010	C₄⋊C₄	—	86	2	no	—
1011	C₄⋊C₄	—	86	2	no	—
1012	C₄⋊C₄	D₄×D₄₃	1	1	yes	characteristic
1013	C₄⋊C₄	D₄×D₄₃	1	1	yes	characteristic
1014	C₄⋊C₄	C₂³×D₄₃	1	2	yes	—
1015	C₄⋊C₄	C₂³×D₄₃	1	1	yes	characteristic
1016	C₄⋊C₄	C₂³×D₄₃	1	1	yes	characteristic
1017	C₄⋊C₄	C₂³×D₄₃	1	1	yes	characteristic
1018	C₄⋊C₄	C₂³×D₄₃	1	1	yes	characteristic
1019	C₂²⋊C₄	—	2	1	no	—
1020	C₂²⋊C₄	—	2	1	no	—
1021	C₂²⋊C₄	—	2	2	no	—
1022	C₂²⋊C₄	—	2	2	no	—
1023	C₂²⋊C₄	—	43	2	no	—
1024	C₂²⋊C₄	—	43	2	no	—
1025	C₂²⋊C₄	—	43	2	no	—
1026	C₂²⋊C₄	—	86	2	no	—
1027	C₂²⋊C₄	—	86	2	no	—
1028	C₂²⋊C₄	—	86	1	no	—
1029	C₂²⋊C₄	—	86	1	no	—
1030	C₂²⋊C₄	—	86	1	no	—
1031	C₂²⋊C₄	—	86	1	no	—
1032	C₂²⋊C₄	—	86	2	no	—
1033	C₂²⋊C₄	—	86	2	no	—
1034	C₂²⋊C₄	—	86	1	no	—
1035	C₂²⋊C₄	—	86	1	no	—
1036	C₂²⋊C₄	—	86	2	no	—
1037	C₂²⋊C₄	—	86	2	no	—
1038	C₂²⋊C₄	D₄×D₄₃	1	2	yes	—
1039	C₄²	—	2	1	no	—
1040	C₄²	—	2	1	no	—
1041	C₄²	—	43	2	no	—
1042	C₄²	—	43	2	no	—
1043	C₄²	—	43	2	no	—
1044	C₄²	—	86	1	no	—
1045	C₄²	—	86	1	no	—
1046	C₄²	—	86	1	no	—
1047	C₄²	—	86	1	no	—
1048	C₄²	—	86	1	no	—
1049	C₄²	—	86	1	no	—
1050	C₄²	C₂³×D₄₃	1	2	yes	—
1051	C₂³	—	2	2	no	—
1052	C₂³	—	2	4	no	—
1053	C₂³	—	8	1	no	—
1054	C₂³	—	8	1	no	—
1055	C₂³	—	43	1	no	—
1056	C₂³	—	43	4	no	—
1057	C₂³	—	43	1	no	—
1058	C₂³	—	86	2	no	—
1059	C₂³	—	86	2	no	—
1060	C₂³	—	86	8	no	—
1061	C₂³	—	86	8	no	—
1062	C₂³	—	86	4	no	—
1063	C₂³	—	86	2	no	—
1064	C₂³	—	344	1	no	—
1065	C₂³	—	344	1	no	—
1066	C₂³	—	344	2	no	—
1067	C₂³	—	344	2	no	—
1068	C₂³	—	344	16	no	—
1069	C₂³	—	172	4	no	—
1070	C₂³	—	172	4	no	—
1071	C₂³	C₂×D₄×D₄₃	1	1	yes	characteristic
1072	Q₈	—	8	2	no	—
1073	Q₈	—	344	2	no	—
1074	Q₈	—	344	2	no	—
1075	Q₈	—	344	2	no	—
1076	D₄	—	2	4	no	—
1077	D₄	—	2	2	no	—
1078	D₄	—	43	4	no	—
1079	D₄	—	86	8	no	—
1080	D₄	—	86	8	no	—
1081	D₄	—	86	4	no	—
1082	D₄	—	86	2	no	—
1083	D₄	C₂×Q₈×D₄₃	1	4	yes	—
1084	C₂×C₄	—	2	1	no	—
1085	C₂×C₄	—	2	1	no	—
1086	C₂×C₄	—	2	1	no	—
1087	C₂×C₄	—	2	1	no	—
1088	C₂×C₄	—	2	2	no	—
1089	C₂×C₄	—	8	2	no	—
1090	C₂×C₄	—	8	2	no	—
1091	C₂×C₄	—	8	1	no	—
1092	C₂×C₄	—	43	4	no	—
1093	C₂×C₄	—	43	1	no	—
1094	C₂×C₄	—	43	1	no	—
1095	C₂×C₄	—	43	4	no	—
1096	C₂×C₄	—	43	4	no	—
1097	C₂×C₄	—	43	2	no	—
1098	C₂×C₄	—	43	2	no	—
1099	C₂×C₄	—	43	2	no	—
1100	C₂×C₄	—	43	2	no	—
1101	C₂×C₄	—	43	2	no	—
1102	C₂×C₄	—	43	2	no	—
1103	C₂×C₄	—	86	4	no	—
1104	C₂×C₄	—	86	4	no	—
1105	C₂×C₄	—	86	1	no	—
1106	C₂×C₄	—	86	1	no	—
1107	C₂×C₄	—	86	1	no	—
1108	C₂×C₄	—	86	1	no	—
1109	C₂×C₄	—	86	2	no	—
1110	C₂×C₄	—	344	2	no	—
1111	C₂×C₄	—	344	2	no	—
1112	C₂×C₄	—	344	2	no	—
1113	C₂×C₄	—	344	2	no	—
1114	C₂×C₄	—	344	2	no	—
1115	C₂×C₄	—	344	2	no	—
1116	C₂×C₄	—	344	2	no	—
1117	C₂×C₄	—	344	1	no	—
1118	C₂×C₄	—	172	2	no	—
1119	C₂×C₄	—	172	2	no	—
1120	C₂×C₄	—	172	4	no	—
1121	C₂×C₄	—	172	2	no	—
1122	C₂×C₄	—	172	2	no	—
1123	C₂×C₄	C₂×D₄×D₄₃	1	2	yes	—
1124	C₂×C₄	C₂×D₄×D₄₃	1	2	yes	—
1125	C₂×C₄	C₂×D₄×D₄₃	1	1	yes	characteristic
1126	C₂×C₄	C₂×Q₈×D₄₃	1	2	yes	—
1127	C₂×C₄	#41×D₄₃	1	2	yes	—
1128	C₂×C₄	C₂⁴×D₄₃	1	1	yes	characteristic
1129	C₈	—	2	1	no	—
1130	C₈	—	2	1	no	—
1131	C₈	—	2	2	no	—
1132	C₈	—	86	1	no	—
1133	C₈	—	86	1	no	—
1134	C₈	—	86	2	no	—
1135	C₂²	—	2	1	no	—
1136	C₂²	—	2	1	no	—
1137	C₂²	—	2	4	no	—
1138	C₂²	—	4	2	no	—
1139	C₂²	—	4	2	no	—
1140	C₂²	—	8	4	no	—
1141	C₂²	—	43	2	no	—
1142	C₂²	—	43	2	no	—
1143	C₂²	—	43	2	no	—
1144	C₂²	—	43	2	no	—
1145	C₂²	—	86	8	no	—
1146	C₂²	—	86	1	no	—
1147	C₂²	—	86	1	no	—
1148	C₂²	—	86	4	no	—
1149	C₂²	—	344	4	no	—
1150	C₂²	—	344	8	no	—
1151	C₂²	—	172	16	no	—
1152	C₂²	—	172	2	no	—
1153	C₂²	—	172	2	no	—
1154	C₂²	C₂²⋊Q₈×D₄₃	1	2	yes	—
1155	C₂²	C₂²×D₄×D₄₃	1	1	yes	characteristic
1156	C₄	—	2	2	no	—
1157	C₄	—	2	2	no	—
1158	C₄	—	4	1	no	—
1159	C₄	—	4	2	no	—
1160	C₄	—	4	1	no	—
1161	C₄	—	4	1	no	—
1162	C₄	—	4	1	no	—
1163	C₄	—	43	2	no	—
1164	C₄	—	43	2	no	—
1165	C₄	—	86	2	no	—
1166	C₄	—	86	2	no	—
1167	C₄	—	172	1	no	—
1168	C₄	—	172	2	no	—
1169	C₄	—	172	1	no	—
1170	C₄	—	172	1	no	—
1171	C₄	—	172	1	no	—
1172	C₄	C₂²⋊Q₈×D₄₃	1	2	yes	—
1173	C₄	C₂²×Q₈×D₄₃	1	1	yes	characteristic
1174	C₄	C₂×#41×D₄₃	1	1	yes	characteristic
1175	C₂	—	2	2	no	—
1176	C₂	—	4	4	no	—
1177	C₂	—	43	4	no	—
1178	C₂	—	86	2	no	—
1179	C₂	—	172	4	no	—
1180	C₂	C₂×C₂²⋊Q₈×D₄₃	1	1	yes	characteristic
1181	C₂	#576×D₄₃	1	1	yes	characteristic
1182	C₂	#577×D₄₃	1	1	yes	characteristic

	subgroup	G/H
center	C₂²	C₂²×D₄×D₄₃
commutator, cosocle	C₂×C₄×C₄₃	C₂⁵
Frattini	C₂×C₄	C₂⁴×D₄₃
Fitting	C₄₃×#3081	C₂
socle	C₂²×C₄₃	C₂³×D₄
prime radical	C₂²×D₄×D₄₃	C₂²
hypercenter	#3081	D₄₃
hypocenter	C₄₃	C₂×#3081
LCS	G ▷ C₂×C₄×C₄₃ ▷ C₂×C₄₃ ▷ C₄₃
UCS	C₁ ◁ C₂² ◁ #117 ◁ #3081

Complements

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

N	H ≅ G/N	type
1. #544×D₄₃	C₂	semidirect
3. #19144429	C₂	semidirect
4. #19144428	C₂	semidirect
5. #19144427	C₂	semidirect
6. #19144426	C₂	semidirect
7. #19144425	C₂	semidirect
8. #19144424	C₂	semidirect
9. #19144423	C₂	semidirect
10. #19144422	C₂	semidirect
11. #19144421	C₂	semidirect
12. #19144420	C₂	semidirect
13. #19144419	C₂	semidirect
14. #478×D₄₃	C₂	semidirect
15. #478×D₄₃	C₂	semidirect
16. #476×D₄₃	C₂	semidirect
17. #474×D₄₃	C₂	semidirect
18. #428×D₄₃	C₂	semidirect
19. #427×D₄₃	C₂	semidirect
20. #424×D₄₃	C₂	semidirect
23. C₄₃×#3081	C₂	semidirect
27. #14583530	C₂²	semidirect
29. #14583529	C₂²	semidirect
31. #14583527	C₂²	semidirect
32. #14583527	C₂²	semidirect
34. #14583526	C₂²	semidirect
36. C₄⋊Q₈×D₄₃	C₂²	semidirect
38. #125×D₄₃	C₂²	semidirect
57. #14583202	C₂²	semidirect
58. #14583202	C₂²	semidirect
59. #14583201	C₂²	semidirect
60. #14583201	C₂²	semidirect
61. #14583200	C₂²	semidirect
62. #14583200	C₂²	semidirect
63. #14583199	C₂²	semidirect
64. #14583199	C₂²	semidirect
65. #14583198	C₂²	semidirect
66. #14583198	C₂²	semidirect
67. #14583197	C₂²	semidirect
68. #14583197	C₂²	semidirect
69. #14583196	C₂²	semidirect
70. #14583196	C₂²	semidirect
71. #14583190	C₂²	semidirect
72. #14583189	C₂²	semidirect
73. #14583188	C₂²	semidirect
74. #14583188	C₂²	semidirect
75. #14583187	C₂²	semidirect
76. #14583187	C₂²	semidirect
77. #14583186	C₂²	semidirect
78. #14583180	C₂²	semidirect
79. #14583179	C₂²	semidirect
80. #14583178	C₂²	semidirect
81. #14583178	C₂²	semidirect
82. #14583177	C₂²	semidirect
83. #14583177	C₂²	semidirect
84. #14583176	C₂²	semidirect
85. #14582942	C₂²	semidirect
86. #14582941	C₂²	semidirect
87. #14582940	C₂²	semidirect
88. #14582939	C₂²	semidirect
89. #14582938	C₂²	semidirect
90. #14582937	C₂²	semidirect
91. #14582936	C₂²	semidirect
92. #14582936	C₂²	semidirect
93. #14582935	C₂²	semidirect
94. #14582935	C₂²	semidirect
95. #14582934	C₂²	semidirect
96. #14582934	C₂²	semidirect
97. #107×D₄₃	C₂²	semidirect
98. #107×D₄₃	C₂²	semidirect
99. #107×D₄₃	C₂²	semidirect
100. #106×D₄₃	C₂²	semidirect
101. #106×D₄₃	C₂²	semidirect
102. #106×D₄₃	C₂²	semidirect
103. #14582927	C₂²	semidirect
104. #14582926	C₂²	semidirect
105. #14582925	C₂²	semidirect
106. #14582924	C₂²	semidirect
107. #14582924	C₂²	semidirect
108. C₄⋊C₈×D₄₃	C₂²	semidirect
109. C₄⋊C₈×D₄₃	C₂²	semidirect
124. C₄₃×#544	C₂²	semidirect
126. C₄₃×#478	C₂²	semidirect
127. C₄₃×#478	C₂²	semidirect
128. C₄₃×#476	C₂²	semidirect
129. C₄₃×#474	C₂²	semidirect
130. C₄₃×#428	C₂²	semidirect
131. C₄₃×#427	C₂²	semidirect
132. C₄₃×#424	C₂²	semidirect
142. C₂×D₄×D₄₃	Q₈	semidirect
160. #13063325	C₂³	semidirect
165. #13063324	C₂³	semidirect
166. #13063324	C₂³	semidirect
170. #13063317	C₂³	semidirect
173. #13063316	C₂³	semidirect
174. #13063316	C₂³	semidirect
251. #13063259	C₂³	semidirect
252. #13063259	C₂³	semidirect
253. #13063259	C₂³	semidirect
254. #13063258	C₂³	semidirect
255. #13063258	C₂³	semidirect
256. #13063258	C₂³	semidirect
257. #13063258	C₂³	semidirect
258. #13063258	C₂³	semidirect
259. #13063258	C₂³	semidirect
260. #13063257	C₂³	semidirect
261. #13063257	C₂³	semidirect
262. #13063257	C₂³	semidirect
263. #13063256	C₂³	semidirect
264. #13063256	C₂³	semidirect
265. #13063256	C₂³	semidirect
266. #13063256	C₂³	semidirect
267. #13063256	C₂³	semidirect
268. #13063256	C₂³	semidirect
269. C₄⋊(C₄₃⋊C₈)	C₂³	semidirect
270. C₄⋊(C₄₃⋊C₈)	C₂³	semidirect
271. Dic₄₃⋊C₈	C₂³	semidirect
272. Dic₄₃⋊C₈	C₂³	semidirect
273. Dic₄₃⋊C₈	C₂³	semidirect
274. Dic₄₃⋊C₈	C₂³	semidirect
291. C₄⋊Q₈×C₄₃	C₂³	semidirect
293. #125×C₄₃	C₂³	semidirect
304. #107×C₄₃	C₂³	semidirect
305. #107×C₄₃	C₂³	semidirect
306. #107×C₄₃	C₂³	semidirect
307. #106×C₄₃	C₂³	semidirect
308. #106×C₄₃	C₂³	semidirect
309. #106×C₄₃	C₂³	semidirect
310. C₄⋊C₈×C₄₃	C₂³	semidirect
311. C₄⋊C₈×C₄₃	C₂³	semidirect
327. C₂×D₄×C₄₃	C₂×Q₈	semidirect
346. D₄×D₄₃	C₂×Q₈	semidirect
349. C₂×D₁₇₂	C₂×Q₈	semidirect
597. #3081	D₄₃	direct (N × H)
614. D₄₃	#3081	direct (N × H)
626. #544	C₂×D₄₃	semidirect
664. #478	C₂×D₄₃	semidirect
665. #478	C₂×D₄₃	semidirect
673. #476	C₂×D₄₃	semidirect
681. #474	C₂×D₄₃	semidirect
687. #428	C₂×D₄₃	semidirect
695. #427	C₂×D₄₃	semidirect
707. #424	C₂×D₄₃	semidirect
726. C₄₃	C₂×#3081	semidirect
765. C₄⋊Q₈	C₂²×D₄₃	semidirect
777. #125	C₂²×D₄₃	semidirect
869. #107	C₂²×D₄₃	semidirect
870. #107	C₂²×D₄₃	semidirect
871. #107	C₂²×D₄₃	semidirect
881. #106	C₂²×D₄₃	semidirect
882. #106	C₂²×D₄₃	semidirect
883. #106	C₂²×D₄₃	semidirect
890. C₄⋊C₈	C₂²×D₄₃	semidirect
891. C₄⋊C₈	C₂²×D₄₃	semidirect
936. C₂×D₄	Q₈×D₄₃	semidirect

Maximal subgroups

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

subgroup	index
#544×D₄₃	2
#518×D₄₃	2
#19144429	2
#19144428	2
#19144427	2
#19144426	2
#19144425	2
#19144424	2
#19144423	2
#19144422	2
#19144421	2
#19144420	2
#19144419	2
#478×D₄₃	2
#476×D₄₃	2
#474×D₄₃	2
#428×D₄₃	2
#427×D₄₃	2
#424×D₄₃	2
#418×D₄₃	2
C₂×#102×D₄₃	2
C₄₃×#3081	2
C₂×#3081	43

Subgroups — D43×#3081 #25964148

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — D₄₃×#3081 #25964148