Subgroups — #25965356

Order 11008.

2214 conjugacy classes of subgroups.

The subgroup lattice has 1212 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#19148350	C₂	1	1	yes	maximal, characteristic, complemented
2	#518×D₄₃	C₂	1	1	yes	maximal, characteristic, complemented
3	#19144849	C₂	1	2	yes	maximal, complemented
4	#19144849	C₂	1	2	yes	maximal, complemented
5	#19144786	C₂	1	2	yes	maximal, complemented
6	#19144784	C₂	1	2	yes	maximal, complemented
7	#19144738	C₂	1	2	yes	maximal, complemented
8	#19144696	C₂	1	2	yes	maximal, complemented
9	#19144647	C₂	1	2	yes	maximal, complemented
10	#19144605	C₂	1	2	yes	maximal, complemented
11	#19144545	C₂	1	1	yes	maximal, characteristic, complemented
12	#19144512	C₂	1	1	yes	maximal, characteristic, complemented
13	#19144420	C₂	1	1	yes	maximal, characteristic, complemented
14	#19144108	C₂	1	1	yes	maximal, characteristic, complemented
15	#19144107	C₂	1	1	yes	maximal, characteristic, complemented
16	#19143824	C₂	1	1	yes	maximal, characteristic
17	C₂×#14583051	C₂	1	1	yes	maximal, characteristic, complemented
18	#19143457	C₂	1	1	yes	maximal, characteristic, complemented
19	#19143453	C₂	1	1	yes	maximal, characteristic, complemented
20	#19143425	C₂	1	1	yes	maximal, characteristic, complemented
21	#19143421	C₂	1	1	yes	maximal, characteristic, complemented
22	#19143252	C₂	1	1	yes	maximal, characteristic, complemented
23	C₄₃×#3081	C₂	1	1	yes	maximal, characteristic, complemented
24	C₂²×D₄×D₄₃	C₂²	1	1	yes	characteristic
25	C₂×#13063353	C₂²	1	1	yes	characteristic
26	C₂×#13063351	C₂²	1	1	yes	characteristic
27	C₂²×#10621873	C₂²	1	1	yes	characteristic
28	C₂²×#10621883	C₂²	1	1	yes	characteristic
29	#14583623	—	2	1	no	—
30	#14583610	—	2	1	no	—
31	#14583591	—	2	2	no	—
32	#14583587	—	2	1	no	—
33	#14583587	—	2	1	no	—
34	#14583576	—	2	2	no	—
35	#14583523	C₂²	1	2	yes	complemented
36	#14583512	C₂²	1	2	yes	complemented
37	#14583475	C₂²	1	1	yes	characteristic, complemented
38	#14583454	C₂²	1	2	yes	complemented
39	#14583434	C₂²	1	2	yes	complemented
40	#14583411	C₂²	1	1	yes	characteristic
41	C₂×#13063305	C₂²	1	1	yes	characteristic
42	#14583380	C₂²	1	1	yes	characteristic, complemented
43	#14583376	C₂²	1	1	yes	characteristic, complemented
44	#14583374	C₂²	1	1	yes	characteristic
45	#14583373	C₂²	1	1	yes	characteristic
46	#14583373	C₂²	1	1	yes	characteristic
47	#14583372	—	2	2	no	—
48	#14583371	—	2	1	no	—
49	#14583371	—	2	1	no	—
50	#14583371	C₂²	1	2	yes	—
51	#14583371	C₂²	1	2	yes	—
52	C₄×D₄×D₄₃	—	2	1	no	—
53	C₄×D₄×D₄₃	—	2	1	no	—
54	C₄×D₄×D₄₃	C₂²	1	2	yes	—
55	C₄×D₄×D₄₃	C₂²	1	2	yes	—
56	#117×D₄₃	C₂²	1	1	yes	characteristic
57	#117×D₄₃	C₂²	1	1	yes	characteristic
58	C₂×C₂²⋊C₄×D₄₃	—	2	2	no	—
59	#14583243	C₂²	1	1	yes	characteristic, complemented
60	#14583243	C₂²	1	2	yes	complemented
61	#14583242	C₂²	1	1	yes	characteristic, complemented
62	#14583242	C₂²	1	2	yes	complemented
63	#14583236	C₂²	1	1	yes	characteristic, complemented
64	#14583236	C₂²	1	2	yes	complemented
65	#14583231	C₂²	1	2	yes	complemented
66	#14583231	C₂²	1	1	yes	characteristic, complemented
67	#14583226	C₂²	1	1	yes	characteristic, complemented
68	#14583225	C₂²	1	1	yes	characteristic, complemented
69	#14583219	C₂²	1	1	yes	characteristic, complemented
70	#14583214	C₂²	1	1	yes	characteristic, complemented
71	#14583196	C₂²	1	2	yes	complemented
72	#14583196	C₂²	1	2	yes	complemented
73	#14583186	C₂²	1	2	yes	complemented
74	#14583176	C₂²	1	2	yes	complemented
75	#14583115	C₂²	1	2	yes	complemented
76	#14583115	C₂²	1	2	yes	complemented
77	#14583114	C₂²	1	2	yes	complemented
78	#14583114	C₂²	1	2	yes	complemented
79	#14583105	C₂²	1	2	yes	complemented
80	#14583105	C₂²	1	2	yes	complemented
81	#14583104	C₂²	1	2	yes	complemented
82	#14583104	C₂²	1	2	yes	complemented
83	#14583051	C₂²	1	2	yes	—
84	#14583051	C₂²	1	2	yes	—
85	#14583051	C₂²	1	2	yes	—
86	#14583051	C₂²	1	2	yes	—
87	#14583051	C₂²	1	2	yes	—
88	#14583051	C₂²	1	2	yes	—
89	#14583034	C₂²	1	2	yes	—
90	#14583034	C₂²	1	2	yes	—
91	#14583010	C₂²	1	2	yes	complemented
92	#14583008	C₂²	1	2	yes	complemented
93	#14582998	C₂²	1	2	yes	complemented
94	#14582998	C₂²	1	2	yes	complemented
95	#14582998	C₂²	1	2	yes	complemented
96	#14582996	C₂²	1	2	yes	complemented
97	#14582996	C₂²	1	2	yes	complemented
98	#14582996	C₂²	1	2	yes	complemented
99	#14582990	C₂²	1	2	yes	complemented
100	#14582990	C₂²	1	2	yes	complemented
101	#14582990	C₂²	1	2	yes	complemented
102	#14582986	C₂²	1	2	yes	complemented
103	#14582986	C₂²	1	2	yes	complemented
104	#14582986	C₂²	1	2	yes	complemented
105	#14582981	C₂²	1	2	yes	complemented
106	#14582979	C₂²	1	2	yes	complemented
107	#14582959	C₂²	1	2	yes	complemented
108	#14582959	C₂²	1	2	yes	complemented
109	#14582955	C₂²	1	2	yes	complemented
110	#14582951	C₂²	1	2	yes	complemented
111	#14582939	C₂²	1	1	yes	characteristic, complemented
112	#14582935	C₂²	1	1	yes	characteristic, complemented
113	#14582926	C₂²	1	1	yes	characteristic, complemented
114	#14582909	C₂²	1	1	yes	characteristic, complemented
115	#14582907	C₂²	1	1	yes	characteristic, complemented
116	#14582903	C₂²	1	1	yes	characteristic
117	#14582896	C₂²	1	1	yes	characteristic, complemented
118	#14582893	C₂²	1	1	yes	characteristic, complemented
119	C₂×#13063245	C₂²	1	1	yes	characteristic
120	#14582862	C₂²	1	1	yes	characteristic
121	C₂×(C₂×D₄₃)⋊C₈	C₂²	1	1	yes	characteristic
122	#14582857	C₂²	1	1	yes	characteristic, complemented
123	#14582854	C₂²	1	1	yes	characteristic, complemented
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×#10621898	C₂³	1	1	yes	characteristic
137	C₂²×Dic₈₆	C₂³	1	1	yes	characteristic
138	C₂²×D₁₇₂	C₂³	1	1	yes	characteristic
139	C₂²×C₂²⋊D₄₃	—	2	1	no	—
140	C₂×D₄×D₄₃	—	2	4	no	—
141	C₂×D₄×D₄₃	—	2	4	no	—
142	C₂×D₄×D₄₃	—	2	1	no	—
143	C₂×D₄×D₄₃	—	2	1	no	—
144	C₂×D₄×D₄₃	C₂³	1	2	yes	—
145	C₂×D₄×D₄₃	C₂³	1	2	yes	—
146	C₂²×C₄×D₄₃	—	2	2	no	—
147	C₂²×C₄×D₄₃	—	2	2	no	—
148	C₂²×C₄×D₄₃	C₂³	1	1	yes	characteristic
149	#13063353	—	2	4	no	—
150	#13063351	—	2	4	no	—
151	C₂×#10621873	—	2	4	no	—
152	C₂×#10621873	C₂³	1	2	yes	—
153	C₂×#10621873	C₂³	1	2	yes	—
154	C₂×#10621873	C₂³	1	2	yes	—
155	C₂×#10621883	—	2	4	no	—
156	C₂×#10621883	C₂³	1	2	yes	—
157	C₂×#10621883	C₂³	1	2	yes	—
158	C₂×#10621883	C₂³	1	2	yes	—
159	C₂×D₃₄₄	C₂³	1	2	yes	—
160	C₂×#10621882	C₂³	1	2	yes	—
161	C₂×#10621877	C₂³	1	1	yes	characteristic
162	C₂²×C₄₃⋊C₈	C₂³	1	1	yes	characteristic
163	#13063325	C₂³	1	2	yes	complemented
164	#13063320	—	2	2	no	—
165	#13063320	—	2	2	no	—
166	#13063320	—	2	2	no	—
167	#13063320	—	2	2	no	—
168	#13063316	—	2	2	no	—
169	#13063316	—	2	2	no	—
170	#13063316	—	2	2	no	—
171	#13063314	—	2	2	no	—
172	#13063313	C₂³	1	2	yes	complemented
173	#13063310	—	2	2	no	—
174	#13063310	—	2	2	no	—
175	#13063309	—	2	1	no	—
176	#13063309	—	2	2	no	—
177	#13063305	—	2	1	no	—
178	#13063305	—	2	1	no	—
179	#13063305	—	2	1	no	—
180	#13063305	—	2	1	no	—
181	#13063305	C₂³	1	2	yes	—
182	#13063305	C₂³	1	2	yes	—
183	#13063305	C₂³	1	1	yes	characteristic
184	#13063305	C₂³	1	1	yes	characteristic
185	#13063301	—	2	2	no	—
186	#13063301	—	2	2	no	—
187	#13063300	C₂³	1	1	yes	characteristic
188	#13063300	C₂³	1	1	yes	characteristic
189	#13063295	—	2	1	no	—
190	Q₈×Dic₄₃	—	2	2	no	—
191	C₄×Dic₈₆	—	2	1	no	—
192	C₄×Dic₈₆	—	2	1	no	—
193	#13063290	C₂³	1	2	yes	complemented
194	#13063290	C₂³	1	2	yes	complemented
195	#13063290	C₂³	1	2	yes	complemented
196	C₄×D₁₇₂	—	2	1	no	—
197	C₄×D₁₇₂	—	2	1	no	—
198	C₄×D₁₇₂	—	2	1	no	—
199	C₄×D₁₇₂	—	2	1	no	—
200	C₄×D₁₇₂	C₂³	1	2	yes	—
201	C₄×D₁₇₂	C₂³	1	2	yes	—
202	D₄×Dic₄₃	—	2	1	no	—
203	D₄×Dic₄₃	—	2	1	no	—
204	D₄×Dic₄₃	C₂³	1	2	yes	—
205	D₄×Dic₄₃	C₂³	1	2	yes	—
206	#13063287	—	2	2	no	—
207	#13063287	—	2	1	no	—
208	#13063287	—	2	1	no	—
209	#13063287	C₂³	1	2	yes	—
210	#13063287	C₂³	1	2	yes	—
211	#13063287	C₂³	1	2	yes	complemented
212	C₄×C₂²⋊D₄₃	—	2	2	no	—
213	C₄×C₂²⋊D₄₃	—	2	2	no	—
214	C₄×C₂²⋊D₄₃	—	2	2	no	—
215	C₄×C₂²⋊D₄₃	—	2	2	no	—
216	C₄×C₂²⋊D₄₃	—	2	2	no	—
217	(C₂²⋊D₄₃)⋊C₄	—	2	2	no	—
218	(C₂²⋊D₄₃)⋊C₄	—	2	2	no	—
219	(C₂²⋊D₄₃)⋊C₄	—	2	2	no	—
220	(C₂²⋊D₄₃)⋊C₄	—	2	2	no	—
221	#13063284	C₂³	1	1	yes	characteristic
222	#13063284	C₂³	1	1	yes	characteristic
223	#13063283	—	2	2	no	—
224	#13063283	—	2	1	no	—
225	#13063283	—	2	2	no	—
226	#13063283	D₄	1	1	yes	characteristic
227	#13063283	D₄	1	1	yes	characteristic
228	#13063283	C₂³	1	1	yes	characteristic
229	#13063283	C₂³	1	1	yes	characteristic
230	#13063282	—	2	1	no	—
231	#13063282	C₂³	1	2	yes	—
232	#13063281	—	2	1	no	—
233	#13063281	—	2	2	no	—
234	#13063281	D₄	1	2	yes	—
235	C₂×C₄⋊Dic₄₃	—	2	1	no	—
236	C₄⋊C₄×D₄₃	—	2	1	no	—
237	C₄⋊C₄×D₄₃	D₄	1	1	yes	characteristic
238	C₄⋊C₄×D₄₃	D₄	1	1	yes	characteristic
239	C₄⋊C₄×D₄₃	C₂³	1	1	yes	characteristic
240	C₄⋊C₄×D₄₃	C₂³	1	1	yes	characteristic
241	C₂×C₂²⋊Dic₄₃	—	2	2	no	—
242	C₂×(C₂×D₄₃)⋊C₄	—	2	1	no	—
243	C₂×(C₂×D₄₃)⋊C₄	—	2	2	no	—
244	C₂×(C₂×D₄₃)⋊C₄	—	2	2	no	—
245	C₂²⋊C₄×D₄₃	—	2	1	no	—
246	C₂²⋊C₄×D₄₃	—	2	2	no	—
247	C₂²⋊C₄×D₄₃	—	2	2	no	—
248	C₂²⋊C₄×D₄₃	—	2	2	no	—
249	C₂²⋊C₄×D₄₃	—	2	2	no	—
250	C₂²⋊C₄×D₄₃	—	2	2	no	—
251	C₂²⋊C₄×D₄₃	—	2	2	no	—
252	C₂²⋊C₄×D₄₃	D₄	1	2	yes	—
253	C₄²×D₄₃	—	2	1	no	—
254	C₄²×D₄₃	C₂³	1	2	yes	—
255	#13063258	C₂³	1	1	yes	characteristic, complemented
256	#13063258	C₂³	1	2	yes	complemented
257	#13063258	C₂³	1	1	yes	characteristic, complemented
258	#13063256	C₂³	1	1	yes	characteristic, complemented
259	#13063256	C₂³	1	2	yes	complemented
260	#13063256	C₂³	1	1	yes	characteristic, complemented
261	C₄⋊(C₄₃⋊C₈)	C₂³	1	2	yes	complemented
262	C₄⋊(C₄₃⋊C₈)	C₂³	1	2	yes	complemented
263	#13063250	C₂³	1	1	yes	characteristic, complemented
264	#13063250	C₂³	1	1	yes	characteristic, complemented
265	#13063250	C₂³	1	2	yes	complemented
266	#13063250	C₂³	1	2	yes	complemented
267	#13063248	C₂³	1	1	yes	characteristic, complemented
268	#13063248	C₂³	1	1	yes	characteristic, complemented
269	#13063248	C₂³	1	2	yes	complemented
270	#13063248	C₂³	1	2	yes	complemented
271	#13063247	C₂³	1	1	yes	characteristic, complemented
272	#13063247	C₂³	1	1	yes	characteristic, complemented
273	#13063245	C₂³	1	2	yes	—
274	#13063245	C₂³	1	2	yes	—
275	#13063245	C₂³	1	2	yes	—
276	#13063245	C₂³	1	2	yes	—
277	#13063245	C₂³	1	1	yes	characteristic, complemented
278	#13063245	C₂³	1	1	yes	characteristic, complemented
279	(C₂×D₄₃)⋊C₈	C₂³	1	1	yes	characteristic
280	(C₂×D₄₃)⋊C₈	C₂³	1	1	yes	characteristic
281	(C₂×D₄₃)⋊C₈	C₂³	1	1	yes	characteristic
282	(C₂×D₄₃)⋊C₈	C₂³	1	1	yes	characteristic
283	(C₂×D₄₃)⋊C₈	C₂³	1	2	yes	—
284	(C₂×D₄₃)⋊C₈	C₂³	1	2	yes	—
285	#13063235	C₂³	1	2	yes	complemented
286	#13063235	C₂³	1	2	yes	complemented
287	C₈×Dic₄₃	C₂³	1	2	yes	complemented
288	C₈×Dic₄₃	C₂³	1	2	yes	complemented
289	C₂²×D₄×C₄₃	C₂³	1	1	yes	characteristic
290	C₂×M₁₆×C₄₃	C₂³	1	1	yes	characteristic
291	C₂²×C₈×C₄₃	C₂³	1	1	yes	characteristic
292	C₄⋊Q₈×C₄₃	—	2	1	no	—
293	C₄⋊Q₈×C₄₃	C₂³	1	2	yes	complemented
294	#125×C₄₃	—	2	1	no	—
295	#125×C₄₃	C₂³	1	2	yes	complemented
296	C₂²⋊Q₈×C₄₃	—	2	2	no	—
297	C₄×D₄×C₄₃	—	2	1	no	—
298	C₄×D₄×C₄₃	—	2	1	no	—
299	C₄×D₄×C₄₃	C₂³	1	2	yes	—
300	C₄×D₄×C₄₃	C₂³	1	2	yes	—
301	#117×C₄₃	C₂³	1	1	yes	characteristic
302	#117×C₄₃	C₂³	1	1	yes	characteristic
303	#117×C₄₃	C₂³	1	1	yes	characteristic
304	C₂×C₄⋊C₄×C₄₃	C₂³	1	1	yes	characteristic
305	C₂×C₂²⋊C₄×C₄₃	—	2	2	no	—
306	#107×C₄₃	C₂³	1	1	yes	characteristic, complemented
307	#107×C₄₃	C₂³	1	1	yes	characteristic, complemented
308	#107×C₄₃	C₂³	1	2	yes	complemented
309	#106×C₄₃	C₂³	1	1	yes	characteristic, complemented
310	#106×C₄₃	C₂³	1	1	yes	characteristic, complemented
311	#106×C₄₃	C₂³	1	2	yes	complemented
312	C₄⋊C₈×C₄₃	C₂³	1	2	yes	complemented
313	C₄⋊C₈×C₄₃	C₂³	1	2	yes	complemented
314	#102×C₄₃	C₂³	1	2	yes	—
315	#102×C₄₃	C₂³	1	2	yes	—
316	#102×C₄₃	C₂³	1	2	yes	—
317	#102×C₄₃	C₂³	1	2	yes	—
318	C₂⁴×C₄₃	—	2	1	no	—
319	C₂³×D₄₃	—	2	8	no	—
320	C₂³×D₄₃	—	2	1	no	—
321	C₂³×D₄₃	—	2	2	no	—
322	C₂³×D₄₃	—	2	2	no	—
323	C₂³×D₄₃	—	8	2	no	—
324	C₂³×D₄₃	—	8	2	no	—
325	C₂³×D₄₃	C₂×D₄	1	1	yes	characteristic
326	C₂×Q₈×C₄₃	—	2	2	no	—
327	C₂×D₄×C₄₃	—	2	1	no	—
328	C₂×D₄×C₄₃	—	2	2	no	—
329	C₂×D₄×C₄₃	#41	1	4	yes	—
330	C₂×D₄×C₄₃	C₂⁴	1	2	yes	—
331	C₂²×C₄×C₄₃	—	2	2	no	—
332	C₂²×C₄×C₄₃	—	2	2	no	—
333	C₂²×C₄×C₄₃	—	2	1	no	—
334	C₂²×C₄×C₄₃	C₂⁴	1	1	yes	characteristic
335	C₂×C₂²⋊D₄₃	—	2	8	no	—
336	C₂×C₂²⋊D₄₃	—	2	2	no	—
337	C₂×C₂²⋊D₄₃	—	2	2	no	—
338	C₂×C₂²⋊D₄₃	—	2	1	no	—
339	C₂²×Dic₄₃	—	2	2	no	—
340	C₂²×Dic₄₃	—	2	2	no	—
341	C₂²×Dic₄₃	—	2	1	no	—
342	C₂²×Dic₄₃	C₂×D₄	1	1	yes	characteristic
343	D₄×D₄₃	—	2	8	no	—
344	D₄×D₄₃	—	2	8	no	—
345	D₄×D₄₃	—	2	4	no	—
346	D₄×D₄₃	—	2	4	no	—
347	D₄×D₄₃	—	2	4	no	—
348	D₄×D₄₃	—	2	4	no	—
349	#10621898	—	2	2	no	—
350	#10621898	—	2	2	no	—
351	C₂×D₁₇₂	—	2	1	no	—
352	C₂×D₁₇₂	—	2	2	no	—
353	C₂×D₁₇₂	—	2	1	no	—
354	C₂×D₁₇₂	—	2	1	no	—
355	C₂×D₁₇₂	#41	1	4	yes	—
356	C₂×D₁₇₂	C₂⁴	1	1	yes	characteristic
357	C₂×D₁₇₂	C₂⁴	1	2	yes	—
358	C₂×C₄×D₄₃	—	2	2	no	—
359	C₂×C₄×D₄₃	—	2	2	no	—
360	C₂×C₄×D₄₃	—	2	1	no	—
361	C₂×C₄×D₄₃	—	2	2	no	—
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	1	no	—
367	C₂×C₄×D₄₃	—	2	1	no	—
368	C₂×C₄×D₄₃	—	8	4	no	—
369	C₂×C₄×D₄₃	—	8	4	no	—
370	C₂×C₄×D₄₃	C₂×D₄	1	1	yes	characteristic
371	C₂×C₄×D₄₃	C₂×D₄	1	2	yes	—
372	C₂×C₄×D₄₃	C₂×D₄	1	1	yes	characteristic
373	C₂×C₄×D₄₃	C₂×D₄	1	2	yes	—
374	C₂×C₄×D₄₃	C₂⁴	1	1	yes	characteristic
375	C₂×C₄×D₄₃	C₂⁴	1	1	yes	characteristic
376	C₂×Dic₈₆	—	2	2	no	—
377	C₂×Dic₈₆	—	2	2	no	—
378	C₂×Dic₈₆	—	2	1	no	—
379	C₂×Dic₈₆	C₂⁴	1	2	yes	—
380	C₂×Dic₈₆	C₂⁴	1	1	yes	characteristic
381	M₁₆×C₄₃	—	2	2	no	—
382	C₂×C₈×C₄₃	—	2	2	no	—
383	C₂×C₈×C₄₃	C₂⁴	1	1	yes	characteristic
384	C₂×C₈×C₄₃	C₂⁴	1	2	yes	—
385	C₂×C₈×C₄₃	C₂⁴	1	1	yes	characteristic
386	C₄⋊C₄×C₄₃	—	2	1	no	—
387	C₄⋊C₄×C₄₃	—	2	2	no	—
388	C₄⋊C₄×C₄₃	—	2	2	no	—
389	C₄⋊C₄×C₄₃	—	2	2	no	—
390	C₄⋊C₄×C₄₃	C₂×D₄	1	1	yes	characteristic
391	C₄⋊C₄×C₄₃	C₂×D₄	1	1	yes	characteristic
392	C₄⋊C₄×C₄₃	C₂⁴	1	2	yes	—
393	C₄⋊C₄×C₄₃	C₂⁴	1	1	yes	characteristic
394	C₄⋊C₄×C₄₃	C₂⁴	1	1	yes	characteristic
395	C₄⋊C₄×C₄₃	C₂⁴	1	1	yes	characteristic
396	C₄⋊C₄×C₄₃	C₂⁴	1	1	yes	characteristic
397	C₂²⋊C₄×C₄₃	—	2	2	no	—
398	C₂²⋊C₄×C₄₃	—	2	2	no	—
399	C₂²⋊C₄×C₄₃	—	2	1	no	—
400	C₂²⋊C₄×C₄₃	—	2	1	no	—
401	C₂²⋊C₄×C₄₃	C₂×D₄	1	2	yes	—
402	C₄²×C₄₃	—	2	1	no	—
403	C₄²×C₄₃	—	2	1	no	—
404	C₄²×C₄₃	C₂⁴	1	2	yes	—
405	C₂²⋊Dic₄₃	—	2	2	no	—
406	C₂²⋊Dic₄₃	—	2	2	no	—
407	C₂²⋊Dic₄₃	—	2	1	no	—
408	C₂²⋊Dic₄₃	C₂×D₄	1	2	yes	—
409	#10621883	—	2	4	no	—
410	#10621883	—	2	4	no	—
411	#10621883	—	2	4	no	—
412	#10621882	—	2	4	no	—
413	(C₂×D₄₃)⋊C₄	—	2	2	no	—
414	(C₂×D₄₃)⋊C₄	—	2	2	no	—
415	(C₂×D₄₃)⋊C₄	—	2	2	no	—
416	(C₂×D₄₃)⋊C₄	—	2	2	no	—
417	(C₂×D₄₃)⋊C₄	—	2	2	no	—
418	(C₂×D₄₃)⋊C₄	—	2	2	no	—
419	(C₂×D₄₃)⋊C₄	—	2	1	no	—
420	(C₂×D₄₃)⋊C₄	—	2	2	no	—
421	(C₂×D₄₃)⋊C₄	—	2	1	no	—
422	(C₂×D₄₃)⋊C₄	—	2	1	no	—
423	(C₂×D₄₃)⋊C₄	—	2	1	no	—
424	(C₂×D₄₃)⋊C₄	—	2	2	no	—
425	(C₂×D₄₃)⋊C₄	—	2	2	no	—
426	(C₂×D₄₃)⋊C₄	—	2	1	no	—
427	(C₂×D₄₃)⋊C₄	—	2	1	no	—
428	(C₂×D₄₃)⋊C₄	C₂×D₄	1	2	yes	—
429	(C₂×D₄₃)⋊C₄	C₂×D₄	1	2	yes	—
430	C₄⋊Dic₄₃	—	2	2	no	—
431	C₄⋊Dic₄₃	—	2	2	no	—
432	C₄⋊Dic₄₃	—	2	2	no	—
433	C₄⋊Dic₄₃	—	2	2	no	—
434	C₄⋊Dic₄₃	—	2	1	no	—
435	C₄⋊Dic₄₃	—	2	1	no	—
436	C₄⋊Dic₄₃	C₂×D₄	1	1	yes	characteristic
437	C₄⋊Dic₄₃	C₂×D₄	1	1	yes	characteristic
438	C₄⋊Dic₄₃	C₂⁴	1	1	yes	characteristic
439	C₄⋊Dic₄₃	C₂⁴	1	1	yes	characteristic
440	Dic₄₃⋊C₄	—	2	2	no	—
441	Dic₄₃⋊C₄	—	2	1	no	—
442	Dic₄₃⋊C₄	—	2	1	no	—
443	Dic₄₃⋊C₄	—	2	2	no	—
444	Dic₄₃⋊C₄	—	2	2	no	—
445	Dic₄₃⋊C₄	C₂×D₄	1	2	yes	—
446	Dic₄₃⋊C₄	C₂×D₄	1	2	yes	—
447	C₄×Dic₄₃	—	2	1	no	—
448	C₄×Dic₄₃	—	2	1	no	—
449	C₄×Dic₄₃	—	2	1	no	—
450	C₄×Dic₄₃	—	2	2	no	—
451	C₄×Dic₄₃	—	2	2	no	—
452	C₄×Dic₄₃	—	2	2	no	—
453	C₄×Dic₄₃	C₂×D₄	1	2	yes	—
454	C₄×Dic₄₃	C₂×D₄	1	2	yes	—
455	C₄×Dic₄₃	C₂⁴	1	2	yes	—
456	#10621877	—	2	2	no	—
457	C₂×C₄₃⋊C₈	—	2	2	no	—
458	C₂×C₄₃⋊C₈	C₂⁴	1	1	yes	characteristic
459	C₂×C₄₃⋊C₈	C₂⁴	1	2	yes	—
460	C₂×C₄₃⋊C₈	C₂⁴	1	1	yes	characteristic
461	D₃₄₄	—	2	4	no	—
462	#10621873	—	2	4	no	—
463	#10621873	—	2	4	no	—
464	#10621873	—	2	4	no	—
465	C₂³×C₄₃	—	2	2	no	—
466	C₂³×C₄₃	—	2	4	no	—
467	C₂³×C₄₃	—	8	1	no	—
468	C₂³×C₄₃	—	8	1	no	—
469	C₂³×C₄₃	C₂²×D₄	1	1	yes	characteristic
470	C₂²×D₄₃	—	2	8	no	—
471	C₂²×D₄₃	—	2	2	no	—
472	C₂²×D₄₃	—	2	2	no	—
473	C₂²×D₄₃	—	2	8	no	—
474	C₂²×D₄₃	—	2	4	no	—
475	C₂²×D₄₃	—	2	2	no	—
476	C₂²×D₄₃	—	2	1	no	—
477	C₂²×D₄₃	—	4	1	no	—
478	C₂²×D₄₃	—	4	4	no	—
479	C₂²×D₄₃	—	4	4	no	—
480	C₂²×D₄₃	—	8	2	no	—
481	C₂²×D₄₃	—	8	2	no	—
482	C₂²×D₄₃	—	8	16	no	—
483	C₂²×D₄₃	—	8	1	no	—
484	C₂²×D₄₃	—	8	1	no	—
485	C₂²×D₄₃	C₂²×D₄	1	1	yes	characteristic
486	C₂²×D₄₃	C₂²×D₄	1	1	yes	characteristic
487	Q₈×C₄₃	—	8	2	no	—
488	D₄×C₄₃	—	2	4	no	—
489	D₄×C₄₃	—	2	2	no	—
490	D₄×C₄₃	C₂×#41	1	4	yes	—
491	C₂×C₄×C₄₃	—	2	1	no	—
492	C₂×C₄×C₄₃	—	2	1	no	—
493	C₂×C₄×C₄₃	—	2	2	no	—
494	C₂×C₄×C₄₃	—	2	1	no	—
495	C₂×C₄×C₄₃	—	2	1	no	—
496	C₂×C₄×C₄₃	—	8	2	no	—
497	C₂×C₄×C₄₃	—	8	2	no	—
498	C₂×C₄×C₄₃	—	8	1	no	—
499	C₂×C₄×C₄₃	C₂²×D₄	1	2	yes	—
500	C₂×C₄×C₄₃	C₂²×D₄	1	2	yes	—
501	C₂×C₄×C₄₃	C₂²×D₄	1	1	yes	characteristic
502	C₂×C₄×C₄₃	C₂×#41	1	2	yes	—
503	C₂×C₄×C₄₃	C₂×#41	1	2	yes	—
504	C₂×C₄×C₄₃	C₂⁵	1	1	yes	characteristic
505	C₂²⋊D₄₃	—	2	8	no	—
506	C₂²⋊D₄₃	—	2	8	no	—
507	C₂²⋊D₄₃	—	4	2	no	—
508	C₂×Dic₄₃	—	2	2	no	—
509	C₂×Dic₄₃	—	2	1	no	—
510	C₂×Dic₄₃	—	2	2	no	—
511	C₂×Dic₄₃	—	2	1	no	—
512	C₂×Dic₄₃	—	2	1	no	—
513	C₂×Dic₄₃	—	4	2	no	—
514	C₂×Dic₄₃	—	8	2	no	—
515	C₂×Dic₄₃	—	8	2	no	—
516	C₂×Dic₄₃	C₂²×D₄	1	2	yes	—
517	C₂×Dic₄₃	C₂²×D₄	1	1	yes	characteristic
518	C₂×Dic₄₃	C₂²×D₄	1	2	yes	—
519	C₂×Dic₄₃	C₂²×D₄	1	1	yes	characteristic
520	D₁₇₂	—	2	4	no	—
521	D₁₇₂	—	2	2	no	—
522	D₁₇₂	—	2	1	no	—
523	D₁₇₂	—	2	1	no	—
524	D₁₇₂	—	4	2	no	—
525	D₁₇₂	—	8	1	no	—
526	D₁₇₂	C₂×#41	1	4	yes	—
527	C₄×D₄₃	—	2	4	no	—
528	C₄×D₄₃	—	2	2	no	—
529	C₄×D₄₃	—	2	2	no	—
530	C₄×D₄₃	—	2	1	no	—
531	C₄×D₄₃	—	2	1	no	—
532	C₄×D₄₃	—	2	1	no	—
533	C₄×D₄₃	—	2	1	no	—
534	C₄×D₄₃	—	4	2	no	—
535	C₄×D₄₃	—	4	2	no	—
536	C₄×D₄₃	—	4	2	no	—
537	C₄×D₄₃	—	4	2	no	—
538	C₄×D₄₃	—	8	2	no	—
539	C₄×D₄₃	—	8	2	no	—
540	C₄×D₄₃	—	8	2	no	—
541	C₄×D₄₃	—	8	2	no	—
542	C₄×D₄₃	—	8	2	no	—
543	Dic₈₆	—	2	2	no	—
544	Dic₈₆	—	2	1	no	—
545	Dic₈₆	—	2	2	no	—
546	Dic₈₆	—	2	1	no	—
547	Dic₈₆	—	4	2	no	—
548	C₈×C₄₃	—	2	1	no	—
549	C₈×C₄₃	—	2	1	no	—
550	C₈×C₄₃	—	2	2	no	—
551	C₄₃⋊C₈	—	2	1	no	—
552	C₄₃⋊C₈	—	2	1	no	—
553	C₄₃⋊C₈	—	2	2	no	—
554	#60579	—	43	1	no	maximal, Sylow
555	C₂²×C₄₃	—	2	1	no	—
556	C₂²×C₄₃	—	2	1	no	—
557	C₂²×C₄₃	—	2	4	no	—
558	C₂²×C₄₃	—	4	2	no	—
559	C₂²×C₄₃	—	4	2	no	—
560	C₂²×C₄₃	—	8	4	no	—
561	C₂²×C₄₃	#525	1	2	yes	—
562	C₂²×C₄₃	C₂³×D₄	1	1	yes	characteristic
563	C₂×D₄₃	—	2	1	no	—
564	C₂×D₄₃	—	2	1	no	—
565	C₂×D₄₃	—	2	1	no	—
566	C₂×D₄₃	—	2	1	no	—
567	C₂×D₄₃	—	2	4	no	—
568	C₂×D₄₃	—	2	1	no	—
569	C₂×D₄₃	—	4	4	no	—
570	C₂×D₄₃	—	4	16	no	—
571	C₂×D₄₃	—	4	2	no	—
572	C₂×D₄₃	—	4	2	no	—
573	C₂×D₄₃	—	4	1	no	—
574	C₂×D₄₃	—	4	1	no	—
575	C₂×D₄₃	—	4	1	no	—
576	C₂×D₄₃	—	8	4	no	—
577	C₂×D₄₃	—	8	8	no	—
578	C₂×D₄₃	#577	1	2	yes	—
579	C₄×C₄₃	—	2	2	no	—
580	C₄×C₄₃	—	2	2	no	—
581	C₄×C₄₃	—	4	1	no	—
582	C₄×C₄₃	—	4	2	no	—
583	C₄×C₄₃	—	4	1	no	—
584	C₄×C₄₃	—	4	1	no	—
585	C₄×C₄₃	—	4	1	no	—
586	C₄×C₄₃	#525	1	2	yes	—
587	C₄×C₄₃	C₂²×#41	1	1	yes	characteristic
588	C₄×C₄₃	C₂²×#41	1	1	yes	characteristic
589	Dic₄₃	—	2	2	no	—
590	Dic₄₃	—	2	1	no	—
591	Dic₄₃	—	2	1	no	—
592	Dic₄₃	—	2	2	no	—
593	Dic₄₃	—	4	1	no	—
594	Dic₄₃	—	4	2	no	—
595	Dic₄₃	—	4	1	no	—
596	Dic₄₃	—	4	1	no	—
597	#3495	—	43	1	no	—
598	C₂×#518	—	43	1	no	—
599	#3123	—	43	2	no	—
600	#3123	—	43	2	no	—
601	#3118	—	43	2	no	—
602	#3118	—	43	2	no	—
603	#3114	—	43	2	no	—
604	#3110	—	43	2	no	—
605	#3105	—	43	2	no	—
606	#3101	—	43	2	no	—
607	#3095	—	43	1	no	—
608	#3091	—	43	1	no	—
609	#3081	—	43	1	no	—
610	#3081	D₄₃	1	1	yes	characteristic, complemented
611	#3042	—	43	1	no	—
612	#3042	—	43	1	no	—
613	#3003	—	43	1	no	—
614	C₂×#450	—	43	1	no	—
615	#2949	—	43	1	no	—
616	#2949	—	43	1	no	—
617	#2946	—	43	1	no	—
618	#2946	—	43	1	no	—
619	#2924	—	43	1	no	—
620	C₂×C₄₃	—	2	2	no	—
621	C₂×C₄₃	—	4	4	no	—
622	C₂×C₄₃	C₂×#525	1	1	yes	characteristic
623	C₂×C₄₃	C₂×#577	1	1	yes	characteristic
624	C₂×C₄₃	#3585	1	1	yes	characteristic
625	D₄₃	—	2	2	no	—
626	D₄₃	—	4	1	no	—
627	D₄₃	—	4	4	no	—
628	D₄₃	—	8	1	no	—
629	C₂³×D₄	—	43	1	no	—
630	C₂×AGL(1,ℤ/8)	—	43	1	no	—
631	C₂×AGL(1,ℤ/8)	—	43	1	no	—
632	C₂²×SD₁₆	—	43	1	no	—
633	C₂²×SD₁₆	—	43	1	no	—
634	#556	—	86	1	no	—
635	#554	—	86	1	no	—
636	#552	—	86	1	no	—
637	#552	—	86	2	no	—
638	#552	—	86	1	no	—
639	#551	—	86	2	no	—
640	#544	C₂×D₄₃	1	1	yes	characteristic, complemented
641	#542	—	43	2	no	—
642	#541	—	43	2	no	—
643	#536	—	43	1	no	—
644	#533	—	43	2	no	—
645	#529	—	43	2	no	—
646	#525	—	43	1	no	—
647	C₂×C₂²⋊Q₈	—	43	1	no	—
648	#520	—	43	1	no	—
649	#519	—	43	1	no	—
650	#518	—	43	1	no	—
651	#518	—	43	2	no	—
652	#518	—	43	2	no	—
653	#518	—	43	1	no	—
654	#518	—	43	1	no	—
655	#518	—	86	2	no	—
656	#518	—	86	1	no	—
657	#518	—	86	1	no	—
658	#518	C₂×D₄₃	1	1	yes	characteristic
659	C₂×C₄×D₄	—	43	2	no	—
660	C₂×C₄×D₄	—	43	2	no	—
661	C₂×C₄×D₄	—	86	1	no	—
662	C₂×C₄×D₄	—	86	1	no	—
663	C₂×#117	—	43	1	no	—
664	C₂×#117	—	43	1	no	—
665	C₂²×C₂²⋊C₄	—	86	2	no	—
666	#485	—	43	1	no	—
667	#485	—	43	2	no	—
668	#485	—	43	1	no	—
669	#485	—	43	2	no	—
670	#484	—	43	1	no	—
671	#484	—	43	2	no	—
672	#483	—	43	1	no	—
673	#483	—	43	2	no	—
674	#482	—	43	1	no	—
675	#482	—	43	1	no	—
676	#481	—	43	1	no	—
677	#480	—	43	1	no	—
678	#478	—	43	2	no	—
679	#478	—	43	2	no	—
680	#478	C₂×D₄₃	1	2	yes	complemented
681	#478	C₂×D₄₃	1	2	yes	complemented
682	#476	—	43	2	no	—
683	#476	C₂×D₄₃	1	2	yes	complemented
684	#474	—	43	2	no	—
685	#474	C₂×D₄₃	1	2	yes	complemented
686	#463	—	43	2	no	—
687	#463	—	43	2	no	—
688	#463	—	43	2	no	—
689	#463	—	43	2	no	—
690	#461	—	43	2	no	—
691	#461	—	43	2	no	—
692	#461	—	43	2	no	—
693	#461	—	43	2	no	—
694	#450	—	43	2	no	—
695	#450	—	43	2	no	—
696	#450	—	43	2	no	—
697	#450	—	43	2	no	—
698	#450	—	43	2	no	—
699	#450	—	43	2	no	—
700	#447	—	43	2	no	—
701	#447	—	43	2	no	—
702	#442	—	43	2	no	—
703	#442	—	43	2	no	—
704	#440	—	43	2	no	—
705	#440	—	43	2	no	—
706	#440	—	43	2	no	—
707	#440	—	43	2	no	—
708	#440	—	43	2	no	—
709	#440	—	43	2	no	—
710	C₄×SD₁₆	—	43	2	no	—
711	C₄×SD₁₆	—	43	2	no	—
712	C₄×SD₁₆	—	43	2	no	—
713	C₄×SD₁₆	—	43	2	no	—
714	C₄×SD₁₆	—	43	2	no	—
715	C₄×SD₁₆	—	43	2	no	—
716	C₄×D₈	—	43	2	no	—
717	C₄×D₈	—	43	2	no	—
718	#433	—	43	2	no	—
719	#433	—	43	2	no	—
720	#432	—	43	2	no	—
721	#431	—	43	2	no	—
722	#428	—	43	1	no	—
723	#428	C₂×D₄₃	1	1	yes	characteristic, complemented
724	#427	—	43	1	no	—
725	#427	C₂×D₄₃	1	1	yes	characteristic, complemented
726	#424	—	43	1	no	—
727	#424	C₂×D₄₃	1	1	yes	characteristic, complemented
728	#419	—	43	1	no	—
729	#419	—	43	1	no	—
730	#418	—	43	1	no	—
731	#418	C₂×D₄₃	1	1	yes	characteristic
732	#416	—	43	1	no	—
733	#416	—	43	1	no	—
734	C₂×#102	—	43	1	no	—
735	C₂×#102	C₂×D₄₃	1	1	yes	characteristic
736	#407	—	43	1	no	—
737	C₂×C₂²⋊C₈	—	43	1	no	—
738	#405	—	43	1	no	—
739	#405	—	43	1	no	—
740	C₄₃	#60579	1	1	yes	characteristic, complemented, Sylow
741	C₂⁵	—	86	1	no	—
742	C₂×#41	—	43	1	no	—
743	C₂²×Q₈	—	43	1	no	—
744	C₂²×D₄	—	43	2	no	—
745	C₂²×D₄	—	43	2	no	—
746	C₂²×D₄	—	43	1	no	—
747	C₂²×D₄	—	86	1	no	—
748	C₂²×D₄	—	86	1	no	—
749	C₂²×D₄	—	86	1	no	—
750	C₂²×D₄	—	86	4	no	—
751	C₂²×D₄	—	86	4	no	—
752	C₂²×D₄	C₂²×D₄₃	1	1	yes	characteristic
753	C₂³×C₄	—	43	1	no	—
754	C₂³×C₄	—	86	2	no	—
755	C₂³×C₄	—	86	2	no	—
756	AGL(1,ℤ/8)	—	86	4	no	—
757	AGL(1,ℤ/8)	—	86	4	no	—
758	C₂×SD₁₆	—	43	2	no	—
759	C₂×SD₁₆	—	43	2	no	—
760	C₂×SD₁₆	—	43	2	no	—
761	C₂×SD₁₆	—	43	2	no	—
762	C₂×SD₁₆	—	43	2	no	—
763	C₂×SD₁₆	—	43	2	no	—
764	C₂×SD₁₆	—	86	4	no	—
765	C₂×SD₁₆	—	86	4	no	—
766	C₂×D₈	—	43	2	no	—
767	C₂×D₈	—	43	2	no	—
768	C₂×M₁₆	—	43	1	no	—
769	C₂×M₁₆	C₂²×D₄₃	1	1	yes	characteristic
770	C₂²×C₈	—	43	1	no	—
771	C₂²×C₈	C₂²×D₄₃	1	1	yes	characteristic
772	C₄⋊Q₈	—	2	1	no	—
773	C₄⋊Q₈	—	43	2	no	—
774	C₄⋊Q₈	C₂²×D₄₃	1	2	yes	complemented
775	#126	—	86	2	no	—
776	#126	—	86	2	no	—
777	#126	—	86	2	no	—
778	#126	—	86	2	no	—
779	#125	—	2	1	no	—
780	#125	—	86	2	no	—
781	#125	—	86	2	no	—
782	#125	—	86	2	no	—
783	#125	C₂²×D₄₃	1	2	yes	complemented
784	#124	—	43	2	no	—
785	#124	—	86	2	no	—
786	#123	—	86	1	no	—
787	#123	—	86	2	no	—
788	#123	—	86	2	no	—
789	#123	—	86	2	no	—
790	C₂²⋊Q₈	—	2	2	no	—
791	C₂²⋊Q₈	—	43	2	no	—
792	C₂²⋊Q₈	—	43	2	no	—
793	C₂²⋊Q₈	—	43	1	no	—
794	C₂²⋊Q₈	—	43	1	no	—
795	C₂²⋊Q₈	—	86	1	no	—
796	C₂²⋊Q₈	—	86	1	no	—
797	C₂²⋊Q₈	—	86	2	no	—
798	C₂²⋊Q₈	—	86	2	no	—
799	C₂²⋊Q₈	—	86	1	no	—
800	C₂²⋊Q₈	—	86	1	no	—
801	#121	—	43	1	no	—
802	#121	—	43	1	no	—
803	#120	—	86	1	no	—
804	C₄×Q₈	—	43	2	no	—
805	C₄×Q₈	—	43	2	no	—
806	C₄×Q₈	—	43	2	no	—
807	C₄×Q₈	—	86	1	no	—
808	C₄×Q₈	—	86	1	no	—
809	C₄×Q₈	—	86	2	no	—
810	C₄×D₄	—	2	1	no	—
811	C₄×D₄	—	2	1	no	—
812	C₄×D₄	—	43	2	no	—
813	C₄×D₄	—	43	2	no	—
814	C₄×D₄	—	43	2	no	—
815	C₄×D₄	—	43	2	no	—
816	C₄×D₄	—	43	2	no	—
817	C₄×D₄	—	43	2	no	—
818	C₄×D₄	—	43	2	no	—
819	C₄×D₄	—	86	1	no	—
820	C₄×D₄	—	86	1	no	—
821	C₄×D₄	—	86	1	no	—
822	C₄×D₄	—	86	1	no	—
823	C₄×D₄	—	86	2	no	—
824	C₄×D₄	—	86	2	no	—
825	C₄×D₄	—	86	2	no	—
826	C₄×D₄	—	86	2	no	—
827	C₄×D₄	—	86	2	no	—
828	C₄×D₄	—	86	2	no	—
829	C₄×D₄	—	86	2	no	—
830	C₄×D₄	—	86	2	no	—
831	C₄×D₄	—	86	2	no	—
832	C₄×D₄	—	86	2	no	—
833	C₄×D₄	—	86	1	no	—
834	C₄×D₄	—	86	1	no	—
835	C₄×D₄	—	86	1	no	—
836	C₄×D₄	—	86	1	no	—
837	C₄×D₄	C₂²×D₄₃	1	2	yes	—
838	C₄×D₄	C₂²×D₄₃	1	2	yes	—
839	#117	—	43	1	no	—
840	#117	—	43	1	no	—
841	#117	—	43	1	no	—
842	#117	—	43	2	no	—
843	#117	—	43	2	no	—
844	#117	—	43	1	no	—
845	#117	—	43	1	no	—
846	#117	—	43	1	no	—
847	#117	—	86	1	no	—
848	#117	—	86	2	no	—
849	#117	—	86	2	no	—
850	#117	—	86	1	no	—
851	#117	—	86	1	no	—
852	#117	—	86	2	no	—
853	#117	C₂²×D₄₃	1	1	yes	characteristic
854	#117	C₂²×D₄₃	1	1	yes	characteristic
855	#117	C₂²×D₄₃	1	1	yes	characteristic
856	C₂×C₄⋊C₄	—	43	1	no	—
857	C₂×C₄⋊C₄	—	43	1	no	—
858	C₂×C₄⋊C₄	—	43	1	no	—
859	C₂×C₄⋊C₄	—	43	1	no	—
860	C₂×C₄⋊C₄	—	86	1	no	—
861	C₂×C₄⋊C₄	—	86	1	no	—
862	C₂×C₄⋊C₄	C₂²×D₄₃	1	1	yes	characteristic
863	C₂×C₂²⋊C₄	—	2	2	no	—
864	C₂×C₂²⋊C₄	—	43	2	no	—
865	C₂×C₂²⋊C₄	—	86	2	no	—
866	C₂×C₂²⋊C₄	—	86	2	no	—
867	C₂×C₂²⋊C₄	—	86	2	no	—
868	C₂×C₂²⋊C₄	—	86	2	no	—
869	C₂×C₂²⋊C₄	—	86	2	no	—
870	C₂×C₂²⋊C₄	—	86	1	no	—
871	C₂×C₂²⋊C₄	—	86	2	no	—
872	C₂×C₂²⋊C₄	—	86	2	no	—
873	C₂×C₂²⋊C₄	—	86	2	no	—
874	C₂×C₂²⋊C₄	—	86	1	no	—
875	C₂×C₂²⋊C₄	—	86	2	no	—
876	C₂×C₄²	—	43	2	no	—
877	C₂×C₄²	—	86	1	no	—
878	#107	—	43	1	no	—
879	#107	—	43	1	no	—
880	#107	—	43	2	no	—
881	#107	C₂²×D₄₃	1	1	yes	characteristic, complemented
882	#107	C₂²×D₄₃	1	1	yes	characteristic, complemented
883	#107	C₂²×D₄₃	1	2	yes	complemented
884	#106	—	43	1	no	—
885	#106	—	43	1	no	—
886	#106	—	43	2	no	—
887	#106	C₂²×D₄₃	1	1	yes	characteristic, complemented
888	#106	C₂²×D₄₃	1	1	yes	characteristic, complemented
889	#106	C₂²×D₄₃	1	2	yes	complemented
890	C₄⋊C₈	—	43	2	no	—
891	C₄⋊C₈	—	43	2	no	—
892	C₄⋊C₈	C₂²×D₄₃	1	2	yes	complemented
893	C₄⋊C₈	C₂²×D₄₃	1	2	yes	complemented
894	#103	—	43	1	no	—
895	#103	—	43	1	no	—
896	#103	—	43	2	no	—
897	#103	—	43	2	no	—
898	#103	—	43	1	no	—
899	#103	—	43	1	no	—
900	#103	—	43	2	no	—
901	#103	—	43	2	no	—
902	#102	—	43	1	no	—
903	#102	—	43	1	no	—
904	#102	—	43	2	no	—
905	#102	—	43	2	no	—
906	#102	—	43	2	no	—
907	#102	—	43	2	no	—
908	#102	—	43	1	no	—
909	#102	—	43	1	no	—
910	#102	C₂²×D₄₃	1	2	yes	—
911	#102	C₂²×D₄₃	1	2	yes	—
912	#102	C₂²×D₄₃	1	2	yes	—
913	#102	C₂²×D₄₃	1	2	yes	—
914	C₂²⋊C₈	—	43	1	no	—
915	C₂²⋊C₈	—	43	1	no	—
916	C₂²⋊C₈	—	43	1	no	—
917	C₂²⋊C₈	—	43	1	no	—
918	C₂²⋊C₈	—	43	2	no	—
919	C₂²⋊C₈	—	43	2	no	—
920	#97	—	43	2	no	—
921	#97	—	43	2	no	—
922	C₄×C₈	—	43	2	no	—
923	C₄×C₈	—	43	2	no	—
924	C₂⁴	—	2	1	no	—
925	C₂⁴	—	43	1	no	—
926	C₂⁴	—	86	2	no	—
927	C₂⁴	—	86	2	no	—
928	C₂⁴	—	86	8	no	—
929	C₂⁴	—	86	1	no	—
930	C₂⁴	—	344	2	no	—
931	C₂⁴	—	344	2	no	—
932	#41	—	86	2	no	—
933	#41	—	86	2	no	—
934	C₂×Q₈	—	2	2	no	—
935	C₂×Q₈	—	43	2	no	—
936	C₂×Q₈	—	43	1	no	—
937	C₂×Q₈	—	86	1	no	—
938	C₂×Q₈	—	86	2	no	—
939	C₂×Q₈	—	86	2	no	—
940	C₂×D₄	—	2	1	no	—
941	C₂×D₄	—	2	2	no	—
942	C₂×D₄	—	43	4	no	—
943	C₂×D₄	—	43	2	no	—
944	C₂×D₄	—	43	1	no	—
945	C₂×D₄	—	86	1	no	—
946	C₂×D₄	—	86	1	no	—
947	C₂×D₄	—	86	2	no	—
948	C₂×D₄	—	86	2	no	—
949	C₂×D₄	—	86	4	no	—
950	C₂×D₄	—	86	4	no	—
951	C₂×D₄	—	86	8	no	—
952	C₂×D₄	—	86	8	no	—
953	C₂×D₄	—	86	8	no	—
954	C₂×D₄	—	86	4	no	—
955	C₂×D₄	—	86	4	no	—
956	C₂×D₄	—	86	1	no	—
957	C₂×D₄	—	86	1	no	—
958	C₂×D₄	—	86	2	no	—
959	C₂×D₄	#10621902	1	4	yes	—
960	C₂×D₄	C₂³×D₄₃	1	2	yes	—
961	C₂²×C₄	—	2	1	no	—
962	C₂²×C₄	—	2	2	no	—
963	C₂²×C₄	—	2	2	no	—
964	C₂²×C₄	—	43	1	no	—
965	C₂²×C₄	—	43	2	no	—
966	C₂²×C₄	—	43	1	no	—
967	C₂²×C₄	—	43	1	no	—
968	C₂²×C₄	—	43	1	no	—
969	C₂²×C₄	—	43	1	no	—
970	C₂²×C₄	—	43	2	no	—
971	C₂²×C₄	—	86	2	no	—
972	C₂²×C₄	—	86	2	no	—
973	C₂²×C₄	—	86	2	no	—
974	C₂²×C₄	—	86	1	no	—
975	C₂²×C₄	—	86	1	no	—
976	C₂²×C₄	—	86	2	no	—
977	C₂²×C₄	—	86	2	no	—
978	C₂²×C₄	—	86	2	no	—
979	C₂²×C₄	—	86	2	no	—
980	C₂²×C₄	—	86	1	no	—
981	C₂²×C₄	—	86	2	no	—
982	C₂²×C₄	—	86	2	no	—
983	C₂²×C₄	—	86	1	no	—
984	C₂²×C₄	—	344	4	no	—
985	C₂²×C₄	—	344	4	no	—
986	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
987	SD₁₆	—	86	4	no	—
988	SD₁₆	—	86	4	no	—
989	SD₁₆	—	86	4	no	—
990	SD₁₆	—	86	4	no	—
991	SD₁₆	—	86	4	no	—
992	SD₁₆	—	86	4	no	—
993	D₈	—	86	4	no	—
994	D₈	—	86	4	no	—
995	M₁₆	—	2	2	no	—
996	M₁₆	—	86	2	no	—
997	C₂×C₈	—	2	2	no	—
998	C₂×C₈	—	43	1	no	—
999	C₂×C₈	—	43	2	no	—
1000	C₂×C₈	—	43	1	no	—
1001	C₂×C₈	—	86	2	no	—
1002	C₂×C₈	C₂³×D₄₃	1	1	yes	characteristic
1003	C₂×C₈	C₂³×D₄₃	1	2	yes	—
1004	C₂×C₈	C₂³×D₄₃	1	1	yes	characteristic
1005	C₄⋊C₄	—	2	1	no	—
1006	C₄⋊C₄	—	2	2	no	—
1007	C₄⋊C₄	—	2	2	no	—
1008	C₄⋊C₄	—	2	2	no	—
1009	C₄⋊C₄	—	43	1	no	—
1010	C₄⋊C₄	—	43	1	no	—
1011	C₄⋊C₄	—	43	2	no	—
1012	C₄⋊C₄	—	43	2	no	—
1013	C₄⋊C₄	—	43	1	no	—
1014	C₄⋊C₄	—	43	1	no	—
1015	C₄⋊C₄	—	86	1	no	—
1016	C₄⋊C₄	—	86	1	no	—
1017	C₄⋊C₄	—	86	2	no	—
1018	C₄⋊C₄	—	86	2	no	—
1019	C₄⋊C₄	—	86	2	no	—
1020	C₄⋊C₄	—	86	2	no	—
1021	C₄⋊C₄	—	86	2	no	—
1022	C₄⋊C₄	—	86	1	no	—
1023	C₄⋊C₄	—	86	1	no	—
1024	C₄⋊C₄	—	86	2	no	—
1025	C₄⋊C₄	—	86	2	no	—
1026	C₄⋊C₄	D₄×D₄₃	1	1	yes	characteristic
1027	C₄⋊C₄	D₄×D₄₃	1	1	yes	characteristic
1028	C₄⋊C₄	C₂³×D₄₃	1	2	yes	—
1029	C₄⋊C₄	C₂³×D₄₃	1	1	yes	characteristic
1030	C₄⋊C₄	C₂³×D₄₃	1	1	yes	characteristic
1031	C₄⋊C₄	C₂³×D₄₃	1	1	yes	characteristic
1032	C₄⋊C₄	C₂³×D₄₃	1	1	yes	characteristic
1033	C₂²⋊C₄	—	2	1	no	—
1034	C₂²⋊C₄	—	2	1	no	—
1035	C₂²⋊C₄	—	2	2	no	—
1036	C₂²⋊C₄	—	2	2	no	—
1037	C₂²⋊C₄	—	43	2	no	—
1038	C₂²⋊C₄	—	43	2	no	—
1039	C₂²⋊C₄	—	43	2	no	—
1040	C₂²⋊C₄	—	86	2	no	—
1041	C₂²⋊C₄	—	86	2	no	—
1042	C₂²⋊C₄	—	86	1	no	—
1043	C₂²⋊C₄	—	86	2	no	—
1044	C₂²⋊C₄	—	86	1	no	—
1045	C₂²⋊C₄	—	86	1	no	—
1046	C₂²⋊C₄	—	86	1	no	—
1047	C₂²⋊C₄	—	86	2	no	—
1048	C₂²⋊C₄	—	86	2	no	—
1049	C₂²⋊C₄	—	86	1	no	—
1050	C₂²⋊C₄	—	86	1	no	—
1051	C₂²⋊C₄	—	86	2	no	—
1052	C₂²⋊C₄	—	86	2	no	—
1053	C₂²⋊C₄	—	86	1	no	—
1054	C₂²⋊C₄	—	86	2	no	—
1055	C₂²⋊C₄	—	86	2	no	—
1056	C₂²⋊C₄	—	86	2	no	—
1057	C₂²⋊C₄	—	86	2	no	—
1058	C₂²⋊C₄	D₄×D₄₃	1	2	yes	—
1059	C₄²	—	2	1	no	—
1060	C₄²	—	2	1	no	—
1061	C₄²	—	43	2	no	—
1062	C₄²	—	43	2	no	—
1063	C₄²	—	43	2	no	—
1064	C₄²	—	86	1	no	—
1065	C₄²	—	86	1	no	—
1066	C₄²	—	86	2	no	—
1067	C₄²	—	86	2	no	—
1068	C₄²	—	86	2	no	—
1069	C₄²	—	86	1	no	—
1070	C₄²	C₂³×D₄₃	1	2	yes	—
1071	C₂³	—	2	2	no	—
1072	C₂³	—	2	4	no	—
1073	C₂³	—	8	1	no	—
1074	C₂³	—	8	1	no	—
1075	C₂³	—	43	1	no	—
1076	C₂³	—	43	1	no	—
1077	C₂³	—	86	2	no	—
1078	C₂³	—	86	8	no	—
1079	C₂³	—	86	8	no	—
1080	C₂³	—	86	4	no	—
1081	C₂³	—	86	2	no	—
1082	C₂³	—	86	2	no	—
1083	C₂³	—	86	1	no	—
1084	C₂³	—	344	1	no	—
1085	C₂³	—	344	1	no	—
1086	C₂³	—	344	2	no	—
1087	C₂³	—	344	2	no	—
1088	C₂³	—	344	16	no	—
1089	C₂³	—	172	1	no	—
1090	C₂³	—	172	4	no	—
1091	C₂³	—	172	4	no	—
1092	C₂³	C₂×D₄×D₄₃	1	1	yes	characteristic
1093	Q₈	—	8	2	no	—
1094	Q₈	—	86	2	no	—
1095	Q₈	—	86	1	no	—
1096	Q₈	—	86	2	no	—
1097	Q₈	—	86	1	no	—
1098	Q₈	—	172	2	no	—
1099	D₄	—	2	4	no	—
1100	D₄	—	2	2	no	—
1101	D₄	—	43	4	no	—
1102	D₄	—	86	8	no	—
1103	D₄	—	86	8	no	—
1104	D₄	—	86	4	no	—
1105	D₄	—	86	1	no	—
1106	D₄	—	86	2	no	—
1107	D₄	—	86	1	no	—
1108	D₄	—	344	1	no	—
1109	D₄	—	172	2	no	—
1110	D₄	—	172	2	no	—
1111	D₄	C₂×#10621902	1	4	yes	—
1112	C₂×C₄	—	2	1	no	—
1113	C₂×C₄	—	2	1	no	—
1114	C₂×C₄	—	2	1	no	—
1115	C₂×C₄	—	2	1	no	—
1116	C₂×C₄	—	2	2	no	—
1117	C₂×C₄	—	8	2	no	—
1118	C₂×C₄	—	8	2	no	—
1119	C₂×C₄	—	8	1	no	—
1120	C₂×C₄	—	43	1	no	—
1121	C₂×C₄	—	43	2	no	—
1122	C₂×C₄	—	43	2	no	—
1123	C₂×C₄	—	43	1	no	—
1124	C₂×C₄	—	86	4	no	—
1125	C₂×C₄	—	86	2	no	—
1126	C₂×C₄	—	86	2	no	—
1127	C₂×C₄	—	86	2	no	—
1128	C₂×C₄	—	86	1	no	—
1129	C₂×C₄	—	86	1	no	—
1130	C₂×C₄	—	86	1	no	—
1131	C₂×C₄	—	86	1	no	—
1132	C₂×C₄	—	86	1	no	—
1133	C₂×C₄	—	86	1	no	—
1134	C₂×C₄	—	86	2	no	—
1135	C₂×C₄	—	86	1	no	—
1136	C₂×C₄	—	344	2	no	—
1137	C₂×C₄	—	344	2	no	—
1138	C₂×C₄	—	344	2	no	—
1139	C₂×C₄	—	344	2	no	—
1140	C₂×C₄	—	344	2	no	—
1141	C₂×C₄	—	344	2	no	—
1142	C₂×C₄	—	344	2	no	—
1143	C₂×C₄	—	172	2	no	—
1144	C₂×C₄	—	172	2	no	—
1145	C₂×C₄	—	172	2	no	—
1146	C₂×C₄	—	172	2	no	—
1147	C₂×C₄	—	172	2	no	—
1148	C₂×C₄	C₂×D₄×D₄₃	1	2	yes	—
1149	C₂×C₄	C₂×D₄×D₄₃	1	2	yes	—
1150	C₂×C₄	C₂×D₄×D₄₃	1	1	yes	characteristic
1151	C₂×C₄	#41×D₄₃	1	2	yes	—
1152	C₂×C₄	C₂×#10621902	1	2	yes	—
1153	C₂×C₄	C₂⁴×D₄₃	1	1	yes	characteristic
1154	C₈	—	2	1	no	—
1155	C₈	—	2	1	no	—
1156	C₈	—	2	2	no	—
1157	C₈	—	86	1	no	—
1158	C₈	—	86	1	no	—
1159	C₈	—	86	2	no	—
1160	C₂²	—	2	1	no	—
1161	C₂²	—	2	1	no	—
1162	C₂²	—	2	4	no	—
1163	C₂²	—	4	2	no	—
1164	C₂²	—	4	2	no	—
1165	C₂²	—	8	4	no	—
1166	C₂²	—	43	2	no	—
1167	C₂²	—	86	1	no	—
1168	C₂²	—	86	1	no	—
1169	C₂²	—	86	1	no	—
1170	C₂²	—	86	1	no	—
1171	C₂²	—	86	1	no	—
1172	C₂²	—	86	4	no	—
1173	C₂²	—	344	4	no	—
1174	C₂²	—	344	8	no	—
1175	C₂²	—	172	4	no	—
1176	C₂²	—	172	16	no	—
1177	C₂²	—	172	1	no	—
1178	C₂²	—	172	1	no	—
1179	C₂²	—	172	1	no	—
1180	C₂²	—	172	2	no	—
1181	C₂²	—	172	2	no	—
1182	C₂²	#14583412	1	2	yes	—
1183	C₂²	C₂²×D₄×D₄₃	1	1	yes	characteristic
1184	C₄	—	2	2	no	—
1185	C₄	—	2	2	no	—
1186	C₄	—	4	1	no	—
1187	C₄	—	4	1	no	—
1188	C₄	—	4	1	no	—
1189	C₄	—	4	2	no	—
1190	C₄	—	4	1	no	—
1191	C₄	—	86	2	no	—
1192	C₄	—	86	2	no	—
1193	C₄	—	86	1	no	—
1194	C₄	—	86	1	no	—
1195	C₄	—	172	1	no	—
1196	C₄	—	172	1	no	—
1197	C₄	—	172	1	no	—
1198	C₄	—	172	2	no	—
1199	C₄	#14583412	1	2	yes	—
1200	C₄	C₂×#41×D₄₃	1	1	yes	characteristic
1201	C₄	C₂²×#10621902	1	1	yes	characteristic
1202	C₂	—	2	2	no	—
1203	C₂	—	4	4	no	—
1204	C₂	—	86	2	no	—
1205	C₂	—	344	1	no	—
1206	C₂	—	172	1	no	—
1207	C₂	—	172	4	no	—
1208	C₂	C₂×#14583412	1	1	yes	characteristic
1209	C₂	#577×D₄₃	1	1	yes	characteristic
1210	C₂	#19149370	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	#19143824	C₂
hypercenter	#3081	D₄₃
hypocenter	C₄₃	#60579
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. #19148350	C₂	semidirect
2. #518×D₄₃	C₂	semidirect
3. #19144849	C₂	semidirect
4. #19144849	C₂	semidirect
5. #19144786	C₂	semidirect
6. #19144784	C₂	semidirect
7. #19144738	C₂	semidirect
8. #19144696	C₂	semidirect
9. #19144647	C₂	semidirect
10. #19144605	C₂	semidirect
11. #19144545	C₂	semidirect
12. #19144512	C₂	semidirect
13. #19144420	C₂	semidirect
14. #19144108	C₂	semidirect
15. #19144107	C₂	semidirect
17. C₂×#14583051	C₂	semidirect
18. #19143457	C₂	semidirect
19. #19143453	C₂	semidirect
20. #19143425	C₂	semidirect
21. #19143421	C₂	semidirect
22. #19143252	C₂	semidirect
23. C₄₃×#3081	C₂	semidirect
35. #14583523	C₂²	semidirect
36. #14583512	C₂²	semidirect
37. #14583475	C₂²	semidirect
38. #14583454	C₂²	semidirect
39. #14583434	C₂²	semidirect
42. #14583380	C₂²	semidirect
43. #14583376	C₂²	semidirect
59. #14583243	C₂²	semidirect
60. #14583243	C₂²	semidirect
61. #14583242	C₂²	semidirect
62. #14583242	C₂²	semidirect
63. #14583236	C₂²	semidirect
64. #14583236	C₂²	semidirect
65. #14583231	C₂²	semidirect
66. #14583231	C₂²	semidirect
67. #14583226	C₂²	semidirect
68. #14583225	C₂²	semidirect
69. #14583219	C₂²	semidirect
70. #14583214	C₂²	semidirect
71. #14583196	C₂²	semidirect
72. #14583196	C₂²	semidirect
73. #14583186	C₂²	semidirect
74. #14583176	C₂²	semidirect
75. #14583115	C₂²	semidirect
76. #14583115	C₂²	semidirect
77. #14583114	C₂²	semidirect
78. #14583114	C₂²	semidirect
79. #14583105	C₂²	semidirect
80. #14583105	C₂²	semidirect
81. #14583104	C₂²	semidirect
82. #14583104	C₂²	semidirect
91. #14583010	C₂²	semidirect
92. #14583008	C₂²	semidirect
93. #14582998	C₂²	semidirect
94. #14582998	C₂²	semidirect
95. #14582998	C₂²	semidirect
96. #14582996	C₂²	semidirect
97. #14582996	C₂²	semidirect
98. #14582996	C₂²	semidirect
99. #14582990	C₂²	semidirect
100. #14582990	C₂²	semidirect
101. #14582990	C₂²	semidirect
102. #14582986	C₂²	semidirect
103. #14582986	C₂²	semidirect
104. #14582986	C₂²	semidirect
105. #14582981	C₂²	semidirect
106. #14582979	C₂²	semidirect
107. #14582959	C₂²	semidirect
108. #14582959	C₂²	semidirect
109. #14582955	C₂²	semidirect
110. #14582951	C₂²	semidirect
111. #14582939	C₂²	semidirect
112. #14582935	C₂²	semidirect
113. #14582926	C₂²	semidirect
114. #14582909	C₂²	semidirect
115. #14582907	C₂²	semidirect
117. #14582896	C₂²	semidirect
118. #14582893	C₂²	semidirect
122. #14582857	C₂²	semidirect
123. #14582854	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
163. #13063325	C₂³	semidirect
172. #13063313	C₂³	semidirect
193. #13063290	C₂³	semidirect
194. #13063290	C₂³	semidirect
195. #13063290	C₂³	semidirect
211. #13063287	C₂³	semidirect
255. #13063258	C₂³	semidirect
256. #13063258	C₂³	semidirect
257. #13063258	C₂³	semidirect
258. #13063256	C₂³	semidirect
259. #13063256	C₂³	semidirect
260. #13063256	C₂³	semidirect
261. C₄⋊(C₄₃⋊C₈)	C₂³	semidirect
262. C₄⋊(C₄₃⋊C₈)	C₂³	semidirect
263. #13063250	C₂³	semidirect
264. #13063250	C₂³	semidirect
265. #13063250	C₂³	semidirect
266. #13063250	C₂³	semidirect
267. #13063248	C₂³	semidirect
268. #13063248	C₂³	semidirect
269. #13063248	C₂³	semidirect
270. #13063248	C₂³	semidirect
271. #13063247	C₂³	semidirect
272. #13063247	C₂³	semidirect
277. #13063245	C₂³	semidirect
278. #13063245	C₂³	semidirect
285. #13063235	C₂³	semidirect
286. #13063235	C₂³	semidirect
287. C₈×Dic₄₃	C₂³	semidirect
288. C₈×Dic₄₃	C₂³	semidirect
293. C₄⋊Q₈×C₄₃	C₂³	semidirect
295. #125×C₄₃	C₂³	semidirect
306. #107×C₄₃	C₂³	semidirect
307. #107×C₄₃	C₂³	semidirect
308. #107×C₄₃	C₂³	semidirect
309. #106×C₄₃	C₂³	semidirect
310. #106×C₄₃	C₂³	semidirect
311. #106×C₄₃	C₂³	semidirect
312. C₄⋊C₈×C₄₃	C₂³	semidirect
313. C₄⋊C₈×C₄₃	C₂³	semidirect
610. #3081	D₄₃	semidirect
640. #544	C₂×D₄₃	semidirect
680. #478	C₂×D₄₃	semidirect
681. #478	C₂×D₄₃	semidirect
683. #476	C₂×D₄₃	semidirect
685. #474	C₂×D₄₃	semidirect
723. #428	C₂×D₄₃	semidirect
725. #427	C₂×D₄₃	semidirect
727. #424	C₂×D₄₃	semidirect
740. C₄₃	#60579	semidirect
774. C₄⋊Q₈	C₂²×D₄₃	semidirect
783. #125	C₂²×D₄₃	semidirect
881. #107	C₂²×D₄₃	semidirect
882. #107	C₂²×D₄₃	semidirect
883. #107	C₂²×D₄₃	semidirect
887. #106	C₂²×D₄₃	semidirect
888. #106	C₂²×D₄₃	semidirect
889. #106	C₂²×D₄₃	semidirect
892. C₄⋊C₈	C₂²×D₄₃	semidirect
893. C₄⋊C₈	C₂²×D₄₃	semidirect

Maximal subgroups

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

subgroup	index
#19148350	2
#518×D₄₃	2
#19144849	2
#19144786	2
#19144784	2
#19144738	2
#19144696	2
#19144647	2
#19144605	2
#19144545	2
#19144512	2
#19144420	2
#19144108	2
#19144107	2
#19143824	2
C₂×#14583051	2
#19143457	2
#19143453	2
#19143425	2
#19143421	2
#19143252	2
C₄₃×#3081	2
#60579	43