Subgroups — #25978194

Order 11008.

2126 conjugacy classes of subgroups.

The subgroup lattice has 1214 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#41×D₁₇₂	C₂	1	1	yes	maximal, characteristic, complemented
2	#19147615	C₂	1	1	yes	maximal, characteristic, complemented
3	#19147494	C₂	1	1	yes	maximal, characteristic, complemented
4	#19147309	C₂	1	1	yes	maximal, characteristic, complemented
5	#19147302	C₂	1	1	yes	maximal, characteristic, complemented
6	#19147184	C₂	1	1	yes	maximal, characteristic, complemented
7	#19147035	C₂	1	2	yes	maximal, complemented
8	#19146900	C₂	1	1	yes	maximal, characteristic, complemented
9	#19146831	C₂	1	1	yes	maximal, characteristic, complemented
10	#19146610	C₂	1	2	yes	maximal, complemented
11	#19146556	C₂	1	2	yes	maximal, complemented
12	#19146195	C₂	1	1	yes	maximal, characteristic, complemented
13	#19146076	C₂	1	2	yes	maximal, complemented
14	#19145191	C₂	1	2	yes	maximal, complemented
15	#19145155	C₂	1	1	yes	maximal, characteristic, complemented
16	#19144655	C₂	1	2	yes	maximal, complemented
17	#19144638	C₂	1	2	yes	maximal, complemented
18	#19144599	C₂	1	1	yes	maximal, characteristic, complemented
19	#19144595	C₂	1	1	yes	maximal, characteristic, complemented
20	#19143562	C₂	1	1	yes	maximal, characteristic, complemented
21	C₄×#13063350	C₂	1	2	yes	maximal, complemented
22	C₂×C₄×#10621882	C₂	1	1	yes	maximal, characteristic, complemented
23	C₄₃×#3475	C₂	1	1	yes	maximal, characteristic, complemented
24	C₂×#41×D₄₃	—	2	1	no	—
25	C₂×#13063350	C₂²	1	2	yes	—
26	C₂²×#10621882	C₂²	1	1	yes	characteristic
27	#14583571	C₂²	1	1	yes	characteristic, complemented
28	Q₈×D₁₇₂	C₂²	1	1	yes	characteristic, complemented
29	#14583561	—	2	1	no	—
30	#14583553	C₂²	1	2	yes	—
31	#14583553	C₂²	1	1	yes	characteristic, complemented
32	#14583544	—	2	2	no	—
33	#14583544	—	2	1	no	—
34	D₄×D₁₇₂	C₂²	1	2	yes	—
35	D₄×D₁₇₂	C₂²	1	1	yes	characteristic, complemented
36	#14583449	C₂²	1	1	yes	characteristic
37	#14583449	C₂²	1	2	yes	complemented
38	#14583411	—	2	1	no	—
39	#14583411	—	2	2	no	—
40	C₂×C₄×D₁₇₂	C₂²	1	1	yes	characteristic
41	C₂×C₄×D₁₇₂	C₂²	1	2	yes	complemented
42	#14583309	C₂²	1	2	yes	complemented
43	#14583295	C₂²	1	1	yes	characteristic, complemented
44	#14583289	C₂²	1	2	yes	complemented
45	#14583273	C₂²	1	1	yes	characteristic, complemented
46	#14583265	C₂²	1	2	yes	complemented
47	#14583258	C₂²	1	2	yes	complemented
48	#14583249	C₂²	1	1	yes	characteristic, complemented
49	#14583247	C₂²	1	1	yes	characteristic, complemented
50	#14583232	C₂²	1	2	yes	complemented
51	#14583227	C₂²	1	2	yes	complemented
52	#14583223	C₂²	1	2	yes	complemented
53	#14583223	C₂²	1	2	yes	complemented
54	#14583215	C₂²	1	2	yes	complemented
55	#14583212	C₂²	1	2	yes	complemented
56	#14583196	C₂²	1	2	yes	complemented
57	#14583196	C₂²	1	2	yes	complemented
58	#14583194	C₂²	1	2	yes	complemented
59	#14583189	C₂²	1	2	yes	complemented
60	#14583186	C₂²	1	1	yes	characteristic, complemented
61	#14583186	C₂²	1	1	yes	characteristic, complemented
62	#14583179	C₂²	1	1	yes	characteristic, complemented
63	#14583179	C₂²	1	1	yes	characteristic, complemented
64	#14583150	C₂²	1	2	yes	complemented
65	#14583150	C₂²	1	2	yes	complemented
66	#14583147	C₂²	1	2	yes	complemented
67	#14583147	C₂²	1	2	yes	complemented
68	#14583130	C₂²	1	2	yes	complemented
69	#14583130	C₂²	1	2	yes	complemented
70	#14583111	C₂²	1	2	yes	—
71	#14583111	C₂²	1	2	yes	complemented
72	#14583101	C₂²	1	1	yes	characteristic, complemented
73	#14583101	C₂²	1	1	yes	characteristic, complemented
74	#14583099	C₂²	1	2	yes	complemented
75	#14583094	C₂²	1	2	yes	complemented
76	#14583094	C₂²	1	1	yes	characteristic, complemented
77	#14583094	C₂²	1	1	yes	characteristic, complemented
78	#14583049	C₂²	1	2	yes	—
79	#14583049	C₂²	1	2	yes	complemented
80	#14583044	C₂²	1	2	yes	complemented
81	#14583044	C₂²	1	2	yes	complemented
82	#14583033	C₂²	1	2	yes	complemented
83	#14583032	C₂²	1	2	yes	—
84	#14583030	C₂²	1	1	yes	characteristic, complemented
85	#14583030	C₂²	1	1	yes	characteristic, complemented
86	#14583009	C₂²	1	2	yes	—
87	#14583009	C₂²	1	2	yes	complemented
88	#14582997	C₂²	1	2	yes	complemented
89	#14582997	C₂²	1	2	yes	complemented
90	C₄×#10621884	C₂²	1	2	yes	complemented
91	C₄×#10621884	C₂²	1	2	yes	complemented
92	C₄×#10621884	C₂²	1	2	yes	complemented
93	C₄×#10621884	C₂²	1	2	yes	complemented
94	C₄×#10621882	C₂²	1	1	yes	characteristic
95	C₄×#10621882	C₂²	1	1	yes	characteristic
96	C₄×#10621882	C₂²	1	1	yes	characteristic
97	C₄×#10621882	C₂²	1	1	yes	characteristic
98	C₄×#10621882	C₂²	1	1	yes	characteristic, complemented
99	C₄×#10621882	C₂²	1	1	yes	characteristic, complemented
100	C₄×#10621882	C₂²	1	2	yes	complemented
101	C₄×#10621882	C₂²	1	2	yes	complemented
102	C₄×#10621882	C₂²	1	1	yes	characteristic, complemented
103	C₄×#10621882	C₂²	1	1	yes	characteristic, complemented
104	#14582977	C₂²	1	1	yes	characteristic, complemented
105	#14582977	C₂²	1	1	yes	characteristic, complemented
106	#14582971	C₂²	1	2	yes	complemented
107	#14582971	C₂²	1	2	yes	complemented
108	#14582952	C₂²	1	1	yes	characteristic, complemented
109	#14582952	C₂²	1	2	yes	complemented
110	#14582942	C₂²	1	2	yes	complemented
111	C₂×#13063258	C₂²	1	1	yes	characteristic, complemented
112	#14582903	C₂²	1	2	yes	complemented
113	#14582900	C₂²	1	2	yes	complemented
114	C₂×#13063246	C₂²	1	1	yes	characteristic, complemented
115	C₂×#13063245	C₂²	1	1	yes	characteristic
116	C₄×#10621877	C₂²	1	2	yes	complemented
117	C₂×C₄×C₄₃⋊C₈	C₂²	1	1	yes	characteristic, complemented
118	C₄₃×#556	C₂²	1	1	yes	characteristic, complemented
119	C₄₃×#555	C₂²	1	1	yes	characteristic, complemented
120	C₄₃×#554	C₂²	1	1	yes	characteristic, complemented
121	C₄₃×#553	—	2	1	no	—
122	C₄₃×#552	—	2	1	no	—
123	C₄₃×#552	C₂²	1	2	yes	complemented
124	C₄₃×#551	—	2	2	no	—
125	C₄₃×#547	C₂²	1	1	yes	characteristic, complemented
126	C₄₃×#546	C₂²	1	2	yes	complemented
127	C₄₃×#533	C₂²	1	1	yes	characteristic, complemented
128	C₄₃×#529	—	2	2	no	—
129	C₄₃×#529	C₂²	1	2	yes	complemented
130	C₄₃×#525	—	2	1	no	—
131	C₄×#41×C₄₃	C₂²	1	1	yes	characteristic
132	C₄×#41×C₄₃	C₂²	1	2	yes	complemented
133	C₂×C₄×D₄×C₄₃	C₂²	1	1	yes	characteristic, complemented
134	C₂×#117×C₄₃	—	2	1	no	—
135	C₂×#10621902	—	2	1	no	—
136	C₂×#10621898	—	2	1	no	—
137	C₂×#10621898	—	2	2	no	—
138	C₂×#10621900	—	2	2	no	—
139	C₂×#10621900	—	2	1	no	—
140	#41×D₄₃	—	4	8	no	—
141	C₂×Q₈×D₄₃	—	2	1	no	—
142	C₂²×D₁₇₂	C₂³	1	1	yes	characteristic
143	C₂²×D₁₇₂	C₂³	1	2	yes	—
144	C₂×D₄×D₄₃	—	2	2	no	—
145	C₂×D₄×D₄₃	—	2	1	no	—
146	C₂²×C₄×D₄₃	—	2	1	no	—
147	C₂²×C₄×D₄₃	—	2	2	no	—
148	#13063350	—	2	8	no	—
149	C₂×#10621884	C₂³	1	2	yes	—
150	C₂×#10621884	C₂³	1	2	yes	—
151	C₂×#10621884	C₂³	1	2	yes	—
152	C₂×#10621884	C₂³	1	2	yes	—
153	C₂×#10621882	—	2	4	no	—
154	C₂×#10621882	C₂³	1	1	yes	characteristic
155	C₂×#10621882	C₂³	1	2	yes	—
156	C₂×#10621882	C₂³	1	1	yes	characteristic
157	C₂×#10621882	C₂³	1	1	yes	characteristic
158	C₂×#10621882	C₂³	1	2	yes	—
159	C₂×#10621882	C₂³	1	1	yes	characteristic
160	C₂×#10621877	C₂³	1	2	yes	—
161	C₂×#10621877	C₂³	1	2	yes	—
162	C₂²×C₄₃⋊C₈	C₂³	1	1	yes	characteristic
163	C₂²×C₄₃⋊C₈	C₂³	1	1	yes	characteristic
164	#13063325	C₂³	1	2	yes	—
165	#13063325	C₂³	1	1	yes	characteristic
166	#13063322	C₂³	1	1	yes	characteristic
167	#13063322	C₂³	1	2	yes	—
168	#13063313	—	2	1	no	—
169	#13063313	—	2	2	no	—
170	#13063309	—	2	2	no	—
171	#13063309	—	2	2	no	—
172	#13063309	—	2	2	no	—
173	#13063305	—	2	2	no	—
174	#13063305	—	2	1	no	—
175	#13063305	—	2	1	no	—
176	#13063305	—	2	2	no	—
177	#13063300	—	2	2	no	—
178	#13063300	—	2	1	no	—
179	#13063300	—	2	1	no	—
180	#13063300	—	2	2	no	—
181	#13063299	—	2	1	no	—
182	#13063299	—	2	2	no	—
183	#13063299	C₂³	1	2	yes	—
184	#13063299	C₂³	1	2	yes	—
185	#13063299	C₂³	1	2	yes	—
186	#13063295	—	2	2	no	—
187	#13063295	—	2	2	no	—
188	#13063295	—	2	2	no	—
189	C₄×D₁₇₂	—	2	1	no	—
190	C₄×D₁₇₂	—	2	2	no	—
191	C₄×D₁₇₂	—	2	1	no	—
192	C₄×D₁₇₂	—	2	2	no	—
193	C₄×D₁₇₂	—	2	1	no	—
194	C₄×D₁₇₂	—	2	2	no	—
195	C₄×D₁₇₂	C₂³	1	2	yes	—
196	C₄×D₁₇₂	C₂³	1	1	yes	characteristic
197	C₄×D₁₇₂	C₂³	1	1	yes	characteristic
198	C₄×D₁₇₂	C₂³	1	2	yes	—
199	C₄×D₁₇₂	C₂³	1	1	yes	characteristic
200	C₄×D₁₇₂	C₂³	1	1	yes	characteristic
201	C₄×D₁₇₂	C₂³	1	2	yes	—
202	C₂×C₄⋊Dic₄₃	C₂³	1	1	yes	characteristic
203	C₂×C₄⋊Dic₄₃	C₂³	1	2	yes	—
204	C₂×(C₂×D₄₃)⋊C₄	—	2	1	no	—
205	C₂×(C₂×D₄₃)⋊C₄	—	2	2	no	—
206	#13063258	C₂³	1	1	yes	characteristic
207	#13063258	C₂³	1	2	yes	—
208	#13063258	C₂³	1	2	yes	—
209	#13063258	C₂³	1	1	yes	characteristic
210	#13063258	C₂³	1	1	yes	characteristic
211	#13063258	C₂³	1	1	yes	characteristic
212	#13063256	C₂³	1	2	yes	—
213	#13063256	C₂³	1	2	yes	—
214	#13063256	C₂³	1	2	yes	—
215	#13063256	C₂³	1	2	yes	—
216	C₄⋊(C₄₃⋊C₈)	C₂³	1	1	yes	characteristic
217	C₄⋊(C₄₃⋊C₈)	C₂³	1	1	yes	characteristic
218	C₄⋊(C₄₃⋊C₈)	C₂³	1	2	yes	—
219	C₄⋊(C₄₃⋊C₈)	C₂³	1	2	yes	—
220	#13063249	C₂³	1	2	yes	—
221	#13063249	C₂³	1	2	yes	—
222	#13063249	C₂³	1	2	yes	—
223	#13063249	C₂³	1	2	yes	—
224	#13063246	C₂³	1	1	yes	characteristic
225	#13063246	C₂³	1	2	yes	—
226	#13063246	C₂³	1	2	yes	—
227	#13063246	C₂³	1	1	yes	characteristic
228	#13063246	C₂³	1	1	yes	characteristic
229	#13063246	C₂³	1	1	yes	characteristic
230	#13063245	C₂³	1	2	yes	—
231	#13063245	C₂³	1	2	yes	—
232	#13063245	C₂³	1	1	yes	characteristic
233	#13063245	C₂³	1	2	yes	—
234	#13063245	C₂³	1	2	yes	—
235	#13063245	C₂³	1	2	yes	—
236	#13063245	C₂³	1	1	yes	characteristic
237	#13063245	C₂³	1	2	yes	—
238	#13063245	C₂³	1	1	yes	characteristic
239	#13063245	C₂³	1	1	yes	characteristic
240	C₂²⋊(C₄₃⋊C₈)	C₂³	1	2	yes	—
241	C₂²⋊(C₄₃⋊C₈)	C₂³	1	2	yes	—
242	C₂²⋊(C₄₃⋊C₈)	C₂³	1	2	yes	—
243	#13063236	C₂³	1	2	yes	—
244	#13063236	C₂³	1	2	yes	—
245	C₄×C₄₃⋊C₈	C₂³	1	1	yes	characteristic
246	C₄×C₄₃⋊C₈	C₂³	1	1	yes	characteristic
247	C₄×C₄₃⋊C₈	C₂³	1	1	yes	characteristic
248	C₄×C₄₃⋊C₈	C₂³	1	1	yes	characteristic
249	C₄×C₄₃⋊C₈	C₂³	1	2	yes	—
250	C₂×#41×C₄₃	D₄	1	1	yes	characteristic
251	C₂×#41×C₄₃	C₂³	1	2	yes	—
252	C₂²×D₄×C₄₃	C₂³	1	1	yes	characteristic
253	C₂³×C₄×C₄₃	—	2	1	no	—
254	C₄⋊Q₈×C₄₃	C₂³	1	1	yes	characteristic
255	C₄⋊Q₈×C₄₃	C₂³	1	1	yes	characteristic
256	#126×C₄₃	—	2	2	no	—
257	#126×C₄₃	—	2	2	no	—
258	#126×C₄₃	—	2	2	no	—
259	#125×C₄₃	—	2	2	no	—
260	#125×C₄₃	—	2	1	no	—
261	#125×C₄₃	C₂³	1	2	yes	—
262	#124×C₄₃	—	2	2	no	—
263	#124×C₄₃	C₂³	1	2	yes	—
264	#123×C₄₃	—	2	2	no	—
265	#123×C₄₃	—	2	2	no	—
266	#123×C₄₃	—	2	2	no	—
267	#123×C₄₃	—	2	2	no	—
268	C₂²⋊Q₈×C₄₃	—	2	1	no	—
269	C₂²⋊Q₈×C₄₃	—	2	1	no	—
270	C₂²⋊Q₈×C₄₃	—	2	1	no	—
271	C₂²⋊Q₈×C₄₃	—	2	2	no	—
272	C₂²⋊Q₈×C₄₃	C₂³	1	2	yes	—
273	C₂²⋊Q₈×C₄₃	C₂³	1	2	yes	—
274	#121×C₄₃	—	2	1	no	—
275	#121×C₄₃	—	2	1	no	—
276	#121×C₄₃	—	2	2	no	—
277	#121×C₄₃	C₂³	1	2	yes	—
278	#120×C₄₃	—	2	2	no	—
279	C₄×Q₈×C₄₃	—	2	1	no	—
280	C₄×Q₈×C₄₃	D₄	1	1	yes	characteristic
281	C₄×Q₈×C₄₃	C₂³	1	2	yes	—
282	C₄×Q₈×C₄₃	C₂³	1	2	yes	—
283	C₄×Q₈×C₄₃	C₂³	1	1	yes	characteristic
284	C₄×D₄×C₄₃	—	2	2	no	—
285	C₄×D₄×C₄₃	—	2	2	no	—
286	C₄×D₄×C₄₃	—	2	2	no	—
287	C₄×D₄×C₄₃	—	2	1	no	—
288	C₄×D₄×C₄₃	—	2	1	no	—
289	C₄×D₄×C₄₃	D₄	1	2	yes	—
290	C₄×D₄×C₄₃	D₄	1	1	yes	characteristic
291	C₄×D₄×C₄₃	C₂³	1	1	yes	characteristic
292	C₄×D₄×C₄₃	C₂³	1	1	yes	characteristic
293	C₄×D₄×C₄₃	C₂³	1	1	yes	characteristic
294	C₄×D₄×C₄₃	C₂³	1	1	yes	characteristic
295	C₄×D₄×C₄₃	C₂³	1	2	yes	—
296	C₄×D₄×C₄₃	C₂³	1	2	yes	—
297	C₄×D₄×C₄₃	C₂³	1	1	yes	characteristic
298	#117×C₄₃	—	2	1	no	—
299	#117×C₄₃	—	2	1	no	—
300	#117×C₄₃	—	2	1	no	—
301	#117×C₄₃	—	2	2	no	—
302	#117×C₄₃	—	2	2	no	—
303	#117×C₄₃	—	2	2	no	—
304	#117×C₄₃	D₄	1	1	yes	characteristic
305	#117×C₄₃	D₄	1	2	yes	—
306	#117×C₄₃	C₂³	1	2	yes	—
307	C₂×C₄⋊C₄×C₄₃	—	2	1	no	—
308	C₂×C₄⋊C₄×C₄₃	—	2	1	no	—
309	C₂×C₄⋊C₄×C₄₃	C₂³	1	1	yes	characteristic
310	C₂×C₂²⋊C₄×C₄₃	—	2	1	no	—
311	C₂×C₂²⋊C₄×C₄₃	—	2	2	no	—
312	C₂×C₄²×C₄₃	—	2	2	no	—
313	C₂×C₄²×C₄₃	C₂³	1	1	yes	characteristic
314	C₂×C₄²×C₄₃	C₂³	1	2	yes	—
315	C₂⁴×C₄₃	—	2	1	no	—
316	C₂³×D₄₃	—	2	2	no	—
317	C₂³×D₄₃	—	2	1	no	—
318	#41×C₄₃	—	2	4	no	—
319	#41×C₄₃	—	2	4	no	—
320	#41×C₄₃	—	4	2	no	—
321	C₂×Q₈×C₄₃	—	2	1	no	—
322	C₂×Q₈×C₄₃	C₂×D₄	1	1	yes	characteristic
323	C₂×Q₈×C₄₃	C₂⁴	1	2	yes	—
324	C₂×D₄×C₄₃	—	2	1	no	—
325	C₂×D₄×C₄₃	—	2	2	no	—
326	C₂×D₄×C₄₃	—	2	2	no	—
327	C₂×D₄×C₄₃	—	2	2	no	—
328	C₂×D₄×C₄₃	—	4	1	no	—
329	C₂×D₄×C₄₃	C₂×D₄	1	2	yes	—
330	C₂×D₄×C₄₃	C₂×D₄	1	1	yes	characteristic
331	C₂×D₄×C₄₃	C₂⁴	1	1	yes	characteristic
332	C₂×D₄×C₄₃	C₂⁴	1	1	yes	characteristic
333	C₂²×C₄×C₄₃	—	2	1	no	—
334	C₂²×C₄×C₄₃	—	2	2	no	—
335	C₂²×C₄×C₄₃	—	2	1	no	—
336	C₂²×C₄×C₄₃	—	2	1	no	—
337	C₂²×C₄×C₄₃	—	2	1	no	—
338	C₂²×C₄×C₄₃	—	2	2	no	—
339	C₂²×C₄×C₄₃	—	2	1	no	—
340	C₂²×C₄×C₄₃	—	4	4	no	—
341	C₂²×C₄×C₄₃	C₂×D₄	1	2	yes	—
342	C₂²×C₄×C₄₃	C₂×D₄	1	1	yes	characteristic
343	C₂²×C₄×C₄₃	C₂×D₄	1	2	yes	—
344	C₂²×C₄×C₄₃	C₂×D₄	1	1	yes	characteristic
345	C₂²×C₄×C₄₃	C₂⁴	1	1	yes	characteristic
346	C₂²×C₄×C₄₃	C₂⁴	1	2	yes	—
347	C₂×C₂²⋊D₄₃	—	2	2	no	—
348	C₂×C₂²⋊D₄₃	—	2	2	no	—
349	C₂×C₂²⋊D₄₃	—	2	2	no	—
350	C₂²×Dic₄₃	—	2	2	no	—
351	C₂²×Dic₄₃	—	2	1	no	—
352	#10621902	—	4	4	no	—
353	Q₈×D₄₃	—	4	4	no	—
354	#10621900	—	4	8	no	—
355	#10621900	—	4	4	no	—
356	D₄×D₄₃	—	4	4	no	—
357	D₄×D₄₃	—	4	8	no	—
358	#10621898	—	4	8	no	—
359	#10621898	—	4	4	no	—
360	C₂×D₁₇₂	—	2	2	no	—
361	C₂×D₁₇₂	—	2	1	no	—
362	C₂×D₁₇₂	—	2	2	no	—
363	C₂×D₁₇₂	—	2	1	no	—
364	C₂×D₁₇₂	—	2	2	no	—
365	C₂×D₁₇₂	—	2	1	no	—
366	C₂×D₁₇₂	—	2	2	no	—
367	C₂×D₁₇₂	—	2	4	no	—
368	C₂×D₁₇₂	—	4	2	no	—
369	C₂×D₁₇₂	—	4	1	no	—
370	C₂×D₁₇₂	C₂⁴	1	1	yes	characteristic
371	C₂×D₁₇₂	C₂⁴	1	2	yes	—
372	C₂×D₁₇₂	C₂⁴	1	1	yes	characteristic
373	C₂×C₄×D₄₃	—	2	1	no	—
374	C₂×C₄×D₄₃	—	2	1	no	—
375	C₂×C₄×D₄₃	—	2	2	no	—
376	C₂×C₄×D₄₃	—	2	2	no	—
377	C₂×C₄×D₄₃	—	2	1	no	—
378	C₂×C₄×D₄₃	—	2	2	no	—
379	C₂×C₄×D₄₃	—	2	1	no	—
380	C₂×C₄×D₄₃	—	4	8	no	—
381	C₂×C₄×D₄₃	—	4	4	no	—
382	C₂×Dic₈₆	—	2	2	no	—
383	C₂×Dic₈₆	—	2	1	no	—
384	C₄⋊C₄×C₄₃	—	2	1	no	—
385	C₄⋊C₄×C₄₃	—	2	1	no	—
386	C₄⋊C₄×C₄₃	—	2	2	no	—
387	C₄⋊C₄×C₄₃	—	2	2	no	—
388	C₄⋊C₄×C₄₃	—	2	1	no	—
389	C₄⋊C₄×C₄₃	—	2	2	no	—
390	C₄⋊C₄×C₄₃	—	2	2	no	—
391	C₄⋊C₄×C₄₃	—	2	2	no	—
392	C₄⋊C₄×C₄₃	—	2	2	no	—
393	C₄⋊C₄×C₄₃	—	2	1	no	—
394	C₄⋊C₄×C₄₃	C₂×D₄	1	1	yes	characteristic
395	C₄⋊C₄×C₄₃	C₂×D₄	1	1	yes	characteristic
396	C₄⋊C₄×C₄₃	C₂×D₄	1	2	yes	—
397	C₄⋊C₄×C₄₃	C₂×D₄	1	2	yes	—
398	C₄⋊C₄×C₄₃	C₂⁴	1	1	yes	characteristic
399	C₄⋊C₄×C₄₃	C₂⁴	1	1	yes	characteristic
400	C₄⋊C₄×C₄₃	C₂⁴	1	2	yes	—
401	C₂²⋊C₄×C₄₃	—	2	1	no	—
402	C₂²⋊C₄×C₄₃	—	2	2	no	—
403	C₂²⋊C₄×C₄₃	—	2	2	no	—
404	C₂²⋊C₄×C₄₃	—	2	1	no	—
405	C₂²⋊C₄×C₄₃	—	2	1	no	—
406	C₂²⋊C₄×C₄₃	—	2	1	no	—
407	C₂²⋊C₄×C₄₃	—	2	2	no	—
408	C₂²⋊C₄×C₄₃	—	2	2	no	—
409	C₂²⋊C₄×C₄₃	—	2	2	no	—
410	C₂²⋊C₄×C₄₃	—	2	2	no	—
411	C₂²⋊C₄×C₄₃	—	2	2	no	—
412	C₂²⋊C₄×C₄₃	C₂×D₄	1	2	yes	—
413	C₂²⋊C₄×C₄₃	C₂×D₄	1	2	yes	—
414	C₂²⋊C₄×C₄₃	C₂×D₄	1	2	yes	—
415	C₄²×C₄₃	—	2	2	no	—
416	C₄²×C₄₃	—	2	2	no	—
417	C₄²×C₄₃	—	2	2	no	—
418	C₄²×C₄₃	C₂×D₄	1	2	yes	—
419	C₄²×C₄₃	C₂×D₄	1	2	yes	—
420	C₄²×C₄₃	C₂×D₄	1	1	yes	characteristic
421	C₄²×C₄₃	C₂×D₄	1	1	yes	characteristic
422	C₄²×C₄₃	C₂⁴	1	1	yes	characteristic
423	C₄²×C₄₃	C₂⁴	1	1	yes	characteristic
424	C₄²×C₄₃	C₂⁴	1	2	yes	—
425	#10621884	—	2	4	no	—
426	#10621884	—	2	4	no	—
427	#10621884	—	4	2	no	—
428	#10621884	—	4	2	no	—
429	#10621882	—	2	2	no	—
430	#10621882	—	2	4	no	—
431	#10621882	—	2	2	no	—
432	#10621882	—	2	2	no	—
433	#10621882	—	4	2	no	—
434	#10621882	#41	1	4	yes	complemented
435	(C₂×D₄₃)⋊C₄	—	2	1	no	—
436	(C₂×D₄₃)⋊C₄	—	2	2	no	—
437	(C₂×D₄₃)⋊C₄	—	2	1	no	—
438	(C₂×D₄₃)⋊C₄	—	2	1	no	—
439	(C₂×D₄₃)⋊C₄	—	2	2	no	—
440	(C₂×D₄₃)⋊C₄	—	2	2	no	—
441	(C₂×D₄₃)⋊C₄	—	2	1	no	—
442	(C₂×D₄₃)⋊C₄	—	2	2	no	—
443	(C₂×D₄₃)⋊C₄	—	2	2	no	—
444	(C₂×D₄₃)⋊C₄	—	2	2	no	—
445	C₄⋊Dic₄₃	—	2	2	no	—
446	C₄⋊Dic₄₃	—	2	1	no	—
447	C₄⋊Dic₄₃	—	2	2	no	—
448	C₄⋊Dic₄₃	—	2	1	no	—
449	C₄⋊Dic₄₃	C₂⁴	1	1	yes	characteristic
450	C₄⋊Dic₄₃	C₂⁴	1	1	yes	characteristic
451	C₄⋊Dic₄₃	C₂⁴	1	2	yes	—
452	#10621877	—	2	4	no	—
453	#10621877	—	4	2	no	—
454	C₂×C₄₃⋊C₈	—	2	2	no	—
455	C₂×C₄₃⋊C₈	—	4	1	no	—
456	C₂×C₄₃⋊C₈	C₂⁴	1	1	yes	characteristic
457	C₂×C₄₃⋊C₈	C₂⁴	1	1	yes	characteristic
458	C₂×C₄₃⋊C₈	C₂⁴	1	1	yes	characteristic
459	C₂×C₄₃⋊C₈	C₂⁴	1	2	yes	—
460	C₂×C₄₃⋊C₈	C₂⁴	1	2	yes	—
461	C₂×C₄₃⋊C₈	C₂⁴	1	1	yes	characteristic
462	C₂³×C₄₃	—	2	1	no	—
463	C₂³×C₄₃	—	2	1	no	—
464	C₂³×C₄₃	—	4	2	no	—
465	C₂³×C₄₃	—	4	2	no	—
466	C₂³×C₄₃	—	8	1	no	—
467	C₂³×C₄₃	C₂²×D₄	1	2	yes	—
468	C₂³×C₄₃	C₂²×D₄	1	1	yes	characteristic
469	C₂²×D₄₃	—	2	1	no	—
470	C₂²×D₄₃	—	2	1	no	—
471	C₂²×D₄₃	—	2	2	no	—
472	C₂²×D₄₃	—	4	2	no	—
473	C₂²×D₄₃	—	4	4	no	—
474	C₂²×D₄₃	—	4	4	no	—
475	C₂²×D₄₃	—	4	2	no	—
476	C₂²×D₄₃	—	8	1	no	—
477	C₂²×D₄₃	—	8	2	no	—
478	Q₈×C₄₃	—	2	2	no	—
479	Q₈×C₄₃	—	2	2	no	—
480	Q₈×C₄₃	—	2	2	no	—
481	Q₈×C₄₃	—	8	1	no	—
482	D₄×C₄₃	—	2	4	no	—
483	D₄×C₄₃	—	2	2	no	—
484	D₄×C₄₃	—	2	1	no	—
485	D₄×C₄₃	—	2	1	no	—
486	D₄×C₄₃	—	2	1	no	—
487	D₄×C₄₃	—	4	2	no	—
488	D₄×C₄₃	—	4	4	no	—
489	D₄×C₄₃	—	8	2	no	—
490	D₄×C₄₃	C₂×#41	1	2	yes	complemented
491	C₂×C₄×C₄₃	—	2	4	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	2	no	—
496	C₂×C₄×C₄₃	—	2	1	no	—
497	C₂×C₄×C₄₃	—	2	2	no	—
498	C₂×C₄×C₄₃	—	2	2	no	—
499	C₂×C₄×C₄₃	—	2	1	no	—
500	C₂×C₄×C₄₃	—	4	2	no	—
501	C₂×C₄×C₄₃	—	4	1	no	—
502	C₂×C₄×C₄₃	—	4	4	no	—
503	C₂×C₄×C₄₃	—	4	2	no	—
504	C₂×C₄×C₄₃	—	4	2	no	—
505	C₂×C₄×C₄₃	—	4	2	no	—
506	C₂×C₄×C₄₃	—	4	2	no	—
507	C₂×C₄×C₄₃	—	4	2	no	—
508	C₂×C₄×C₄₃	—	8	2	no	—
509	C₂×C₄×C₄₃	AGL(1,ℤ/8)	1	4	yes	complemented
510	C₂×C₄×C₄₃	C₂²×D₄	1	2	yes	—
511	C₂×C₄×C₄₃	C₂²×D₄	1	2	yes	—
512	C₂×C₄×C₄₃	C₂²×D₄	1	1	yes	characteristic
513	C₂×C₄×C₄₃	C₂²×D₄	1	1	yes	characteristic
514	C₂×C₄×C₄₃	C₂²×D₄	1	1	yes	characteristic
515	C₂×C₄×C₄₃	C₂²×D₄	1	2	yes	—
516	C₂×C₄×C₄₃	C₂²×D₄	1	1	yes	characteristic
517	C₂×C₄×C₄₃	C₂²×D₄	1	1	yes	characteristic
518	C₂×C₄×C₄₃	C₂⁵	1	1	yes	characteristic
519	C₂²⋊D₄₃	—	4	4	no	—
520	C₂²⋊D₄₃	—	4	4	no	—
521	C₂²⋊D₄₃	—	4	4	no	—
522	C₂×Dic₄₃	—	2	1	no	—
523	C₂×Dic₄₃	—	2	2	no	—
524	C₂×Dic₄₃	—	2	1	no	—
525	C₂×Dic₄₃	—	4	4	no	—
526	C₂×Dic₄₃	—	4	2	no	—
527	D₁₇₂	—	2	1	no	—
528	D₁₇₂	—	2	2	no	—
529	D₁₇₂	—	2	1	no	—
530	D₁₇₂	—	2	2	no	—
531	D₁₇₂	—	2	1	no	—
532	D₁₇₂	—	4	4	no	—
533	D₁₇₂	—	4	2	no	—
534	D₁₇₂	—	4	4	no	—
535	D₁₇₂	—	4	2	no	—
536	D₁₇₂	—	8	2	no	—
537	D₁₇₂	—	8	1	no	—
538	D₁₇₂	C₂×#41	1	2	yes	—
539	C₄×D₄₃	—	4	4	no	—
540	C₄×D₄₃	—	4	4	no	—
541	C₄×D₄₃	—	4	2	no	—
542	C₄×D₄₃	—	4	4	no	—
543	C₄×D₄₃	—	4	2	no	—
544	C₄×D₄₃	—	4	2	no	—
545	C₄×D₄₃	—	4	2	no	—
546	Dic₈₆	—	4	4	no	—
547	Dic₈₆	—	4	2	no	—
548	C₄₃⋊C₈	—	2	1	no	—
549	C₄₃⋊C₈	—	2	2	no	—
550	C₄₃⋊C₈	—	2	1	no	—
551	C₄₃⋊C₈	—	2	1	no	—
552	C₄₃⋊C₈	—	2	2	no	—
553	C₄₃⋊C₈	C₂×#41	1	2	yes	complemented
554	#61437	—	43	1	no	maximal, Sylow
555	C₂²×C₄₃	—	2	1	no	—
556	C₂²×C₄₃	—	2	1	no	—
557	C₂²×C₄₃	—	2	2	no	—
558	C₂²×C₄₃	—	2	2	no	—
559	C₂²×C₄₃	—	2	2	no	—
560	C₂²×C₄₃	—	2	2	no	—
561	C₂²×C₄₃	—	4	1	no	—
562	C₂²×C₄₃	—	4	1	no	—
563	C₂²×C₄₃	—	4	1	no	—
564	C₂²×C₄₃	—	4	1	no	—
565	C₂²×C₄₃	—	4	1	no	—
566	C₂²×C₄₃	—	8	4	no	—
567	C₂²×C₄₃	C₂×AGL(1,ℤ/8)	1	2	yes	—
568	C₂²×C₄₃	C₂³×D₄	1	1	yes	characteristic
569	C₂×D₄₃	—	2	2	no	—
570	C₂×D₄₃	—	4	1	no	—
571	C₂×D₄₃	—	4	1	no	—
572	C₂×D₄₃	—	4	1	no	—
573	C₂×D₄₃	—	4	2	no	—
574	C₂×D₄₃	—	4	1	no	—
575	C₂×D₄₃	—	4	2	no	—
576	C₂×D₄₃	—	4	2	no	—
577	C₂×D₄₃	—	4	1	no	—
578	C₂×D₄₃	—	8	4	no	—
579	C₂×D₄₃	—	8	8	no	—
580	C₄×C₄₃	—	2	2	no	—
581	C₄×C₄₃	—	2	1	no	—
582	C₄×C₄₃	—	2	1	no	—
583	C₄×C₄₃	—	2	2	no	—
584	C₄×C₄₃	—	2	1	no	—
585	C₄×C₄₃	—	2	2	no	—
586	C₄×C₄₃	—	4	2	no	—
587	C₄×C₄₃	—	4	2	no	—
588	C₄×C₄₃	—	4	1	no	—
589	C₄×C₄₃	—	4	1	no	—
590	C₄×C₄₃	C₂×AGL(1,ℤ/8)	1	2	yes	—
591	C₄×C₄₃	C₂×AGL(1,ℤ/8)	1	2	yes	—
592	C₄×C₄₃	C₂²×#41	1	1	yes	characteristic
593	C₄×C₄₃	#585	1	1	yes	characteristic
594	Dic₄₃	—	4	1	no	—
595	Dic₄₃	—	4	2	no	—
596	Dic₄₃	—	4	1	no	—
597	#3475	D₄₃	1	1	yes	characteristic, complemented
598	D₄×#41	—	43	1	no	—
599	#3397	—	43	1	no	—
600	#3384	—	43	1	no	—
601	#3367	—	43	1	no	—
602	#3366	—	43	1	no	—
603	#3354	—	43	1	no	—
604	#3343	—	43	2	no	—
605	#3330	—	43	1	no	—
606	#3325	—	43	1	no	—
607	#3310	—	43	2	no	—
608	#3306	—	43	2	no	—
609	#3272	—	43	1	no	—
610	#3264	—	43	2	no	—
611	#3171	—	43	2	no	—
612	#3167	—	43	1	no	—
613	#3106	—	43	2	no	—
614	#3105	—	43	2	no	—
615	#3101	—	43	1	no	—
616	#3100	—	43	1	no	—
617	#2965	—	43	1	no	—
618	C₄×AGL(1,ℤ/8)	—	43	2	no	—
619	C₂×C₄×D₈	—	43	1	no	—
620	C₂×C₄₃	—	2	2	no	—
621	C₂×C₄₃	—	4	2	no	—
622	C₂×C₄₃	—	4	2	no	—
623	C₂×C₄₃	—	8	1	no	—
624	C₂×C₄₃	D₄×#41	1	1	yes	characteristic
625	C₂×C₄₃	C₂²×AGL(1,ℤ/8)	1	1	yes	characteristic
626	C₂×C₄₃	#3584	1	1	yes	characteristic
627	D₄₃	—	4	2	no	—
628	D₄₃	—	8	1	no	—
629	D₄₃	—	8	2	no	—
630	C₂²×#41	—	86	1	no	—
631	C₂×AGL(1,ℤ/8)	—	43	2	no	—
632	C₂²×D₈	—	43	1	no	—
633	#556	C₂×D₄₃	1	1	yes	characteristic, complemented
634	#555	C₂×D₄₃	1	1	yes	characteristic, complemented
635	#554	C₂×D₄₃	1	1	yes	characteristic, complemented
636	#553	—	2	1	no	—
637	#552	—	2	1	no	—
638	#552	C₂×D₄₃	1	2	yes	complemented
639	#551	—	2	2	no	—
640	#550	—	43	1	no	—
641	D₄×Q₈	—	43	1	no	—
642	#548	—	86	1	no	—
643	#547	—	43	2	no	—
644	#547	—	43	1	no	—
645	#547	C₂×D₄₃	1	1	yes	characteristic, complemented
646	#546	—	86	2	no	—
647	#546	—	86	1	no	—
648	#546	C₂×D₄₃	1	2	yes	complemented
649	D₄²	—	43	2	no	—
650	D₄²	—	43	1	no	—
651	#533	C₂×D₄₃	1	1	yes	characteristic, complemented
652	#532	—	43	1	no	—
653	#532	—	43	2	no	—
654	#529	—	2	2	no	—
655	#529	C₂×D₄₃	1	2	yes	complemented
656	#525	—	2	1	no	—
657	#525	—	86	1	no	—
658	#525	—	86	2	no	—
659	C₄×#41	C₂×D₄₃	1	1	yes	characteristic
660	C₄×#41	C₂×D₄₃	1	2	yes	complemented
661	C₂×C₄×D₄	—	43	1	no	—
662	C₂×C₄×D₄	—	43	2	no	—
663	C₂×C₄×D₄	C₂×D₄₃	1	1	yes	characteristic, complemented
664	C₂×#117	—	2	1	no	—
665	#501	—	43	2	no	—
666	#498	—	43	1	no	—
667	#496	—	43	2	no	—
668	#492	—	43	1	no	—
669	#490	—	43	2	no	—
670	#489	—	43	2	no	—
671	#487	—	43	1	no	—
672	#486	—	43	1	no	—
673	#484	—	43	2	no	—
674	#483	—	43	2	no	—
675	#482	—	43	2	no	—
676	#482	—	43	2	no	—
677	#481	—	43	2	no	—
678	#480	—	43	2	no	—
679	#478	—	43	2	no	—
680	#478	—	43	2	no	—
681	#477	—	43	2	no	—
682	#476	—	43	1	no	—
683	#476	—	43	1	no	—
684	#476	—	43	2	no	—
685	#474	—	43	1	no	—
686	#474	—	43	1	no	—
687	#469	—	43	2	no	—
688	#469	—	43	2	no	—
689	#468	—	43	2	no	—
690	#468	—	43	2	no	—
691	#465	—	43	2	no	—
692	#465	—	43	2	no	—
693	#463	—	43	2	no	—
694	#463	—	43	2	no	—
695	#461	—	43	1	no	—
696	#461	—	43	1	no	—
697	#460	—	43	2	no	—
698	#459	—	43	1	no	—
699	#459	—	43	1	no	—
700	#459	—	43	2	no	—
701	#450	—	43	2	no	—
702	#450	—	43	2	no	—
703	#449	—	43	2	no	—
704	#449	—	43	2	no	—
705	#447	—	43	2	no	—
706	#447	—	43	2	no	—
707	#446	—	43	1	no	—
708	#446	—	43	1	no	—
709	#442	—	43	2	no	—
710	#442	—	43	2	no	—
711	#440	—	43	2	no	—
712	#440	—	43	2	no	—
713	C₄×SD₁₆	—	43	2	no	—
714	C₄×SD₁₆	—	43	2	no	—
715	C₄×SD₁₆	—	43	2	no	—
716	C₄×SD₁₆	—	43	2	no	—
717	C₄×D₈	—	43	1	no	—
718	C₄×D₈	—	43	1	no	—
719	C₄×D₈	—	43	2	no	—
720	C₄×D₈	—	43	2	no	—
721	C₄×D₈	—	43	1	no	—
722	C₄×D₈	—	43	1	no	—
723	C₄×D₈	—	43	1	no	—
724	C₄×D₈	—	43	1	no	—
725	C₄×D₈	—	43	1	no	—
726	C₄×D₈	—	43	1	no	—
727	#436	—	43	1	no	—
728	#436	—	43	1	no	—
729	#435	—	43	2	no	—
730	#435	—	43	2	no	—
731	#431	—	43	1	no	—
732	#431	—	43	2	no	—
733	#428	—	43	2	no	—
734	C₂×#107	—	43	1	no	—
735	#418	—	43	2	no	—
736	#417	—	43	2	no	—
737	C₂×#102	—	43	1	no	—
738	C₂×#102	—	43	1	no	—
739	C₄×M₁₆	—	43	2	no	—
740	C₂×C₄×C₈	—	43	1	no	—
741	C₄₃	#61437	1	1	yes	characteristic, complemented, Sylow
742	C₂×#41	—	86	1	no	—
743	C₂×#41	—	86	2	no	—
744	C₂×#41	—	86	1	no	—
745	C₂×#41	—	86	2	no	—
746	C₂×#41	—	86	1	no	—
747	C₂×#41	—	172	8	no	—
748	C₂×#41	C₂²⋊D₄₃	1	1	yes	characteristic
749	C₂×#41	C₂²×D₄₃	1	2	yes	—
750	C₂²×Q₈	—	86	1	no	—
751	C₂²×D₄	—	43	1	no	—
752	C₂²×D₄	—	43	2	no	—
753	C₂²×D₄	—	86	2	no	—
754	C₂²×D₄	—	86	1	no	—
755	C₂²×D₄	C₂²×D₄₃	1	1	yes	characteristic
756	C₂³×C₄	—	2	1	no	—
757	C₂³×C₄	—	86	2	no	—
758	C₂³×C₄	—	86	1	no	—
759	AGL(1,ℤ/8)	—	86	8	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×D₈	—	43	1	no	—
765	C₂×D₈	—	43	1	no	—
766	C₂×D₈	—	43	1	no	—
767	C₂×D₈	—	43	1	no	—
768	C₂×D₈	—	43	2	no	—
769	C₂×D₈	—	43	2	no	—
770	C₂×D₈	—	86	4	no	—
771	C₂×M₁₆	—	43	2	no	—
772	C₂×M₁₆	—	43	2	no	—
773	C₂²×C₈	—	43	1	no	—
774	C₂²×C₈	—	43	1	no	—
775	C₄⋊Q₈	—	43	1	no	—
776	C₄⋊Q₈	—	43	2	no	—
777	C₄⋊Q₈	C₂²×D₄₃	1	1	yes	characteristic
778	C₄⋊Q₈	C₂²×D₄₃	1	1	yes	characteristic
779	#127	—	43	1	no	—
780	#127	—	43	2	no	—
781	#126	—	2	2	no	—
782	#126	—	2	2	no	—
783	#126	—	2	2	no	—
784	#125	—	2	2	no	—
785	#125	—	2	1	no	—
786	#125	C₂²×D₄₃	1	2	yes	—
787	#124	—	2	2	no	—
788	#124	—	86	2	no	—
789	#124	—	86	1	no	—
790	#124	C₂²×D₄₃	1	2	yes	—
791	#123	—	2	2	no	—
792	#123	—	2	2	no	—
793	#123	—	2	2	no	—
794	#123	—	2	2	no	—
795	#123	—	86	2	no	—
796	#123	—	86	2	no	—
797	#123	—	86	2	no	—
798	C₂²⋊Q₈	—	2	1	no	—
799	C₂²⋊Q₈	—	2	1	no	—
800	C₂²⋊Q₈	—	2	1	no	—
801	C₂²⋊Q₈	—	2	2	no	—
802	C₂²⋊Q₈	—	86	1	no	—
803	C₂²⋊Q₈	—	86	2	no	—
804	C₂²⋊Q₈	—	86	1	no	—
805	C₂²⋊Q₈	—	86	2	no	—
806	C₂²⋊Q₈	C₂²×D₄₃	1	2	yes	—
807	C₂²⋊Q₈	C₂²×D₄₃	1	2	yes	—
808	#121	—	2	1	no	—
809	#121	—	2	1	no	—
810	#121	—	2	2	no	—
811	#121	—	43	2	no	—
812	#121	—	43	2	no	—
813	#121	—	43	2	no	—
814	#121	—	86	1	no	—
815	#121	—	86	2	no	—
816	#121	—	86	1	no	—
817	#121	—	86	2	no	—
818	#121	—	86	1	no	—
819	#121	—	86	2	no	—
820	#121	C₂²×D₄₃	1	2	yes	—
821	#120	—	2	2	no	—
822	#120	—	86	2	no	—
823	#120	—	86	2	no	—
824	#120	—	86	2	no	—
825	C₄×Q₈	—	2	1	no	—
826	C₄×Q₈	C₂²⋊D₄₃	1	1	yes	characteristic
827	C₄×Q₈	C₂²×D₄₃	1	2	yes	—
828	C₄×Q₈	C₂²×D₄₃	1	2	yes	—
829	C₄×Q₈	C₂²×D₄₃	1	1	yes	characteristic
830	C₄×D₄	—	2	2	no	—
831	C₄×D₄	—	2	2	no	—
832	C₄×D₄	—	2	2	no	—
833	C₄×D₄	—	2	1	no	—
834	C₄×D₄	—	2	1	no	—
835	C₄×D₄	—	43	1	no	—
836	C₄×D₄	—	43	1	no	—
837	C₄×D₄	—	43	2	no	—
838	C₄×D₄	—	43	1	no	—
839	C₄×D₄	—	43	2	no	—
840	C₄×D₄	—	43	1	no	—
841	C₄×D₄	—	43	2	no	—
842	C₄×D₄	—	86	2	no	—
843	C₄×D₄	—	86	1	no	—
844	C₄×D₄	—	86	2	no	—
845	C₄×D₄	—	86	1	no	—
846	C₄×D₄	—	86	2	no	—
847	C₄×D₄	—	86	1	no	—
848	C₄×D₄	C₂²⋊D₄₃	1	2	yes	—
849	C₄×D₄	C₂²⋊D₄₃	1	1	yes	characteristic
850	C₄×D₄	C₂²×D₄₃	1	1	yes	characteristic
851	C₄×D₄	C₂²×D₄₃	1	1	yes	characteristic
852	C₄×D₄	C₂²×D₄₃	1	1	yes	characteristic
853	C₄×D₄	C₂²×D₄₃	1	1	yes	characteristic
854	C₄×D₄	C₂²×D₄₃	1	2	yes	—
855	C₄×D₄	C₂²×D₄₃	1	2	yes	—
856	C₄×D₄	C₂²×D₄₃	1	1	yes	characteristic
857	#117	—	2	1	no	—
858	#117	—	2	1	no	—
859	#117	—	2	1	no	—
860	#117	—	2	2	no	—
861	#117	—	2	2	no	—
862	#117	—	2	2	no	—
863	#117	C₂²⋊D₄₃	1	1	yes	characteristic
864	#117	C₂²⋊D₄₃	1	2	yes	—
865	#117	C₂²×D₄₃	1	2	yes	—
866	C₂×C₄⋊C₄	—	2	1	no	—
867	C₂×C₄⋊C₄	—	2	1	no	—
868	C₂×C₄⋊C₄	—	43	1	no	—
869	C₂×C₄⋊C₄	—	43	2	no	—
870	C₂×C₄⋊C₄	C₂²×D₄₃	1	1	yes	characteristic
871	C₂×C₂²⋊C₄	—	2	1	no	—
872	C₂×C₂²⋊C₄	—	2	2	no	—
873	C₂×C₂²⋊C₄	—	86	1	no	—
874	C₂×C₂²⋊C₄	—	86	2	no	—
875	C₂×C₄²	—	2	2	no	—
876	C₂×C₄²	C₂²×D₄₃	1	1	yes	characteristic
877	C₂×C₄²	C₂²×D₄₃	1	2	yes	—
878	#107	—	43	1	no	—
879	#107	—	43	1	no	—
880	#107	—	43	1	no	—
881	#107	—	43	1	no	—
882	#107	—	43	2	no	—
883	#107	—	43	2	no	—
884	#106	—	43	2	no	—
885	#106	—	43	2	no	—
886	#106	—	43	2	no	—
887	#106	—	43	2	no	—
888	C₄⋊C₈	—	43	2	no	—
889	C₄⋊C₈	—	43	2	no	—
890	C₄⋊C₈	—	43	1	no	—
891	C₄⋊C₈	—	43	1	no	—
892	#103	—	43	2	no	—
893	#103	—	43	2	no	—
894	#103	—	43	2	no	—
895	#103	—	43	2	no	—
896	#102	—	43	1	no	—
897	#102	—	43	1	no	—
898	#102	—	43	1	no	—
899	#102	—	43	1	no	—
900	#102	—	43	2	no	—
901	#102	—	43	2	no	—
902	#102	—	43	1	no	—
903	#102	—	43	1	no	—
904	#102	—	43	1	no	—
905	#102	—	43	1	no	—
906	#102	—	43	2	no	—
907	#102	—	43	2	no	—
908	#102	—	43	2	no	—
909	#102	—	43	2	no	—
910	#102	—	43	2	no	—
911	#102	—	43	2	no	—
912	C₂²⋊C₈	—	43	2	no	—
913	C₂²⋊C₈	—	43	2	no	—
914	C₂²⋊C₈	—	43	2	no	—
915	#97	—	43	2	no	—
916	#97	—	43	2	no	—
917	C₄×C₈	—	43	1	no	—
918	C₄×C₈	—	43	1	no	—
919	C₄×C₈	—	43	1	no	—
920	C₄×C₈	—	43	1	no	—
921	C₄×C₈	—	43	2	no	—
922	C₂⁴	—	2	1	no	—
923	C₂⁴	—	86	2	no	—
924	C₂⁴	—	86	1	no	—
925	#41	—	2	4	no	—
926	#41	—	2	4	no	—
927	#41	—	4	2	no	—
928	#41	—	172	8	no	—
929	#41	—	172	8	no	—
930	#41	—	172	4	no	—
931	#41	—	172	4	no	—
932	#41	—	172	4	no	—
933	C₂×Q₈	—	2	1	no	—
934	C₂×Q₈	—	86	2	no	—
935	C₂×Q₈	—	86	1	no	—
936	C₂×Q₈	—	172	4	no	—
937	C₂×Q₈	C₂×C₂²⋊D₄₃	1	1	yes	characteristic
938	C₂×Q₈	C₂³×D₄₃	1	2	yes	—
939	C₂×D₄	—	2	2	no	—
940	C₂×D₄	—	2	2	no	—
941	C₂×D₄	—	2	2	no	—
942	C₂×D₄	—	2	1	no	—
943	C₂×D₄	—	4	1	no	—
944	C₂×D₄	—	43	1	no	—
945	C₂×D₄	—	43	1	no	—
946	C₂×D₄	—	43	2	no	—
947	C₂×D₄	—	86	2	no	—
948	C₂×D₄	—	86	4	no	—
949	C₂×D₄	—	86	2	no	—
950	C₂×D₄	—	86	2	no	—
951	C₂×D₄	—	86	2	no	—
952	C₂×D₄	—	86	2	no	—
953	C₂×D₄	—	86	1	no	—
954	C₂×D₄	—	86	2	no	—
955	C₂×D₄	—	86	1	no	—
956	C₂×D₄	—	86	2	no	—
957	C₂×D₄	—	86	1	no	—
958	C₂×D₄	—	172	1	no	—
959	C₂×D₄	—	172	2	no	—
960	C₂×D₄	—	172	8	no	—
961	C₂×D₄	—	172	4	no	—
962	C₂×D₄	C₂×C₂²⋊D₄₃	1	2	yes	—
963	C₂×D₄	C₂×C₂²⋊D₄₃	1	1	yes	characteristic
964	C₂×D₄	C₂³×D₄₃	1	1	yes	characteristic
965	C₂×D₄	C₂³×D₄₃	1	1	yes	characteristic
966	C₂²×C₄	—	2	1	no	—
967	C₂²×C₄	—	2	2	no	—
968	C₂²×C₄	—	2	1	no	—
969	C₂²×C₄	—	2	1	no	—
970	C₂²×C₄	—	2	1	no	—
971	C₂²×C₄	—	2	1	no	—
972	C₂²×C₄	—	2	2	no	—
973	C₂²×C₄	—	4	4	no	—
974	C₂²×C₄	—	86	2	no	—
975	C₂²×C₄	—	86	1	no	—
976	C₂²×C₄	—	86	2	no	—
977	C₂²×C₄	—	86	1	no	—
978	C₂²×C₄	—	86	2	no	—
979	C₂²×C₄	—	86	1	no	—
980	C₂²×C₄	—	86	1	no	—
981	C₂²×C₄	—	86	2	no	—
982	C₂²×C₄	—	86	1	no	—
983	C₂²×C₄	—	172	8	no	—
984	C₂²×C₄	—	172	4	no	—
985	C₂²×C₄	C₂×C₂²⋊D₄₃	1	2	yes	—
986	C₂²×C₄	C₂×C₂²⋊D₄₃	1	1	yes	characteristic
987	C₂²×C₄	C₂×C₂²⋊D₄₃	1	2	yes	—
988	C₂²×C₄	C₂×C₂²⋊D₄₃	1	1	yes	characteristic
989	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
990	C₂²×C₄	C₂³×D₄₃	1	2	yes	—
991	SD₁₆	—	86	4	no	—
992	SD₁₆	—	86	4	no	—
993	SD₁₆	—	172	2	no	—
994	SD₁₆	—	172	2	no	—
995	D₈	—	43	4	no	—
996	D₈	—	86	2	no	—
997	D₈	—	86	2	no	—
998	D₈	—	86	2	no	—
999	D₈	—	86	4	no	—
1000	D₈	—	172	2	no	—
1001	M₁₆	—	86	4	no	—
1002	M₁₆	—	172	2	no	—
1003	C₂×C₈	—	43	1	no	—
1004	C₂×C₈	—	43	1	no	—
1005	C₂×C₈	—	43	1	no	—
1006	C₂×C₈	—	43	1	no	—
1007	C₂×C₈	—	43	2	no	—
1008	C₂×C₈	—	43	2	no	—
1009	C₂×C₈	—	86	2	no	—
1010	C₂×C₈	—	172	1	no	—
1011	C₄⋊C₄	—	2	1	no	—
1012	C₄⋊C₄	—	2	1	no	—
1013	C₄⋊C₄	—	2	2	no	—
1014	C₄⋊C₄	—	2	2	no	—
1015	C₄⋊C₄	—	2	1	no	—
1016	C₄⋊C₄	—	2	2	no	—
1017	C₄⋊C₄	—	2	2	no	—
1018	C₄⋊C₄	—	2	2	no	—
1019	C₄⋊C₄	—	2	2	no	—
1020	C₄⋊C₄	—	2	1	no	—
1021	C₄⋊C₄	—	43	1	no	—
1022	C₄⋊C₄	—	43	1	no	—
1023	C₄⋊C₄	—	43	2	no	—
1024	C₄⋊C₄	—	86	2	no	—
1025	C₄⋊C₄	—	86	1	no	—
1026	C₄⋊C₄	—	86	2	no	—
1027	C₄⋊C₄	—	86	1	no	—
1028	C₄⋊C₄	C₂×C₂²⋊D₄₃	1	1	yes	characteristic
1029	C₄⋊C₄	C₂×C₂²⋊D₄₃	1	1	yes	characteristic
1030	C₄⋊C₄	C₂×C₂²⋊D₄₃	1	2	yes	—
1031	C₄⋊C₄	C₂×C₂²⋊D₄₃	1	2	yes	—
1032	C₄⋊C₄	C₂³×D₄₃	1	2	yes	—
1033	C₄⋊C₄	C₂³×D₄₃	1	1	yes	characteristic
1034	C₄⋊C₄	C₂³×D₄₃	1	1	yes	characteristic
1035	C₂²⋊C₄	—	2	2	no	—
1036	C₂²⋊C₄	—	2	2	no	—
1037	C₂²⋊C₄	—	2	2	no	—
1038	C₂²⋊C₄	—	2	1	no	—
1039	C₂²⋊C₄	—	2	2	no	—
1040	C₂²⋊C₄	—	2	2	no	—
1041	C₂²⋊C₄	—	2	1	no	—
1042	C₂²⋊C₄	—	2	1	no	—
1043	C₂²⋊C₄	—	2	1	no	—
1044	C₂²⋊C₄	—	2	2	no	—
1045	C₂²⋊C₄	—	2	2	no	—
1046	C₂²⋊C₄	—	86	1	no	—
1047	C₂²⋊C₄	—	86	2	no	—
1048	C₂²⋊C₄	—	86	1	no	—
1049	C₂²⋊C₄	—	86	2	no	—
1050	C₂²⋊C₄	—	86	1	no	—
1051	C₂²⋊C₄	—	86	1	no	—
1052	C₂²⋊C₄	—	86	2	no	—
1053	C₂²⋊C₄	—	86	2	no	—
1054	C₂²⋊C₄	—	86	2	no	—
1055	C₂²⋊C₄	—	86	2	no	—
1056	C₂²⋊C₄	C₂×C₂²⋊D₄₃	1	2	yes	—
1057	C₂²⋊C₄	C₂×C₂²⋊D₄₃	1	2	yes	—
1058	C₂²⋊C₄	C₂×C₂²⋊D₄₃	1	2	yes	—
1059	C₄²	—	2	2	no	—
1060	C₄²	—	2	2	no	—
1061	C₄²	—	2	2	no	—
1062	C₄²	C₂×C₂²⋊D₄₃	1	2	yes	—
1063	C₄²	C₂×C₂²⋊D₄₃	1	1	yes	characteristic
1064	C₄²	C₂×C₂²⋊D₄₃	1	2	yes	—
1065	C₄²	C₂×C₂²⋊D₄₃	1	1	yes	characteristic
1066	C₄²	C₂³×D₄₃	1	1	yes	characteristic
1067	C₄²	C₂³×D₄₃	1	2	yes	—
1068	C₄²	C₂³×D₄₃	1	1	yes	characteristic
1069	C₂³	—	2	1	no	—
1070	C₂³	—	2	1	no	—
1071	C₂³	—	4	2	no	—
1072	C₂³	—	4	2	no	—
1073	C₂³	—	8	1	no	—
1074	C₂³	—	86	1	no	—
1075	C₂³	—	86	2	no	—
1076	C₂³	—	86	1	no	—
1077	C₂³	—	344	1	no	—
1078	C₂³	—	344	2	no	—
1079	C₂³	—	172	2	no	—
1080	C₂³	—	172	4	no	—
1081	C₂³	—	172	4	no	—
1082	C₂³	—	172	2	no	—
1083	C₂³	C₂²×C₂²⋊D₄₃	1	2	yes	—
1084	C₂³	C₂²×C₂²⋊D₄₃	1	1	yes	characteristic
1085	Q₈	—	2	2	no	—
1086	Q₈	—	2	2	no	—
1087	Q₈	—	2	2	no	—
1088	Q₈	—	8	1	no	—
1089	Q₈	—	172	4	no	—
1090	Q₈	—	172	2	no	—
1091	D₄	—	2	4	no	—
1092	D₄	—	2	2	no	—
1093	D₄	—	2	1	no	—
1094	D₄	—	2	1	no	—
1095	D₄	—	2	1	no	—
1096	D₄	—	4	2	no	—
1097	D₄	—	4	4	no	—
1098	D₄	—	8	2	no	—
1099	D₄	—	43	2	no	—
1100	D₄	—	86	1	no	—
1101	D₄	—	86	2	no	—
1102	D₄	—	86	1	no	—
1103	D₄	—	86	2	no	—
1104	D₄	—	86	1	no	—
1105	D₄	—	344	2	no	—
1106	D₄	—	344	1	no	—
1107	D₄	—	172	4	no	—
1108	D₄	—	172	2	no	—
1109	D₄	—	172	4	no	—
1110	D₄	—	172	4	no	—
1111	D₄	—	172	4	no	—
1112	D₄	—	172	4	no	—
1113	D₄	—	172	2	no	—
1114	D₄	#41×D₄₃	1	2	yes	complemented
1115	C₂×C₄	—	2	4	no	—
1116	C₂×C₄	—	2	1	no	—
1117	C₂×C₄	—	2	2	no	—
1118	C₂×C₄	—	2	1	no	—
1119	C₂×C₄	—	2	2	no	—
1120	C₂×C₄	—	2	1	no	—
1121	C₂×C₄	—	2	2	no	—
1122	C₂×C₄	—	2	2	no	—
1123	C₂×C₄	—	2	1	no	—
1124	C₂×C₄	—	4	2	no	—
1125	C₂×C₄	—	4	1	no	—
1126	C₂×C₄	—	4	4	no	—
1127	C₂×C₄	—	4	2	no	—
1128	C₂×C₄	—	4	2	no	—
1129	C₂×C₄	—	4	2	no	—
1130	C₂×C₄	—	4	2	no	—
1131	C₂×C₄	—	4	2	no	—
1132	C₂×C₄	—	8	2	no	—
1133	C₂×C₄	—	86	1	no	—
1134	C₂×C₄	—	86	2	no	—
1135	C₂×C₄	—	86	1	no	—
1136	C₂×C₄	—	172	4	no	—
1137	C₂×C₄	—	172	4	no	—
1138	C₂×C₄	—	172	4	no	—
1139	C₂×C₄	—	172	2	no	—
1140	C₂×C₄	—	172	2	no	—
1141	C₂×C₄	—	172	2	no	—
1142	C₂×C₄	—	172	2	no	—
1143	C₂×C₄	—	172	4	no	—
1144	C₂×C₄	—	172	2	no	—
1145	C₂×C₄	#13063350	1	4	yes	complemented
1146	C₂×C₄	C₂²×C₂²⋊D₄₃	1	2	yes	—
1147	C₂×C₄	C₂²×C₂²⋊D₄₃	1	2	yes	—
1148	C₂×C₄	C₂²×C₂²⋊D₄₃	1	1	yes	characteristic
1149	C₂×C₄	C₂²×C₂²⋊D₄₃	1	1	yes	characteristic
1150	C₂×C₄	C₂²×C₂²⋊D₄₃	1	1	yes	characteristic
1151	C₂×C₄	C₂²×C₂²⋊D₄₃	1	2	yes	—
1152	C₂×C₄	C₂²×C₂²⋊D₄₃	1	1	yes	characteristic
1153	C₂×C₄	C₂²×C₂²⋊D₄₃	1	1	yes	characteristic
1154	C₂×C₄	C₂⁴×D₄₃	1	1	yes	characteristic
1155	C₈	—	43	2	no	—
1156	C₈	—	86	1	no	—
1157	C₈	—	86	2	no	—
1158	C₈	—	86	1	no	—
1159	C₈	—	86	1	no	—
1160	C₈	—	86	2	no	—
1161	C₂²	—	2	1	no	—
1162	C₂²	—	2	1	no	—
1163	C₂²	—	2	2	no	—
1164	C₂²	—	2	2	no	—
1165	C₂²	—	2	2	no	—
1166	C₂²	—	2	2	no	—
1167	C₂²	—	4	1	no	—
1168	C₂²	—	4	1	no	—
1169	C₂²	—	4	1	no	—
1170	C₂²	—	4	1	no	—
1171	C₂²	—	4	1	no	—
1172	C₂²	—	8	4	no	—
1173	C₂²	—	86	2	no	—
1174	C₂²	—	344	4	no	—
1175	C₂²	—	344	8	no	—
1176	C₂²	—	172	2	no	—
1177	C₂²	—	172	1	no	—
1178	C₂²	—	172	1	no	—
1179	C₂²	—	172	2	no	—
1180	C₂²	—	172	1	no	—
1181	C₂²	—	172	2	no	—
1182	C₂²	—	172	1	no	—
1183	C₂²	—	172	1	no	—
1184	C₂²	C₂×#13063350	1	2	yes	—
1185	C₂²	C₂³×C₂²⋊D₄₃	1	1	yes	characteristic
1186	C₄	—	2	2	no	—
1187	C₄	—	2	2	no	—
1188	C₄	—	2	1	no	—
1189	C₄	—	2	1	no	—
1190	C₄	—	2	2	no	—
1191	C₄	—	2	1	no	—
1192	C₄	—	4	1	no	—
1193	C₄	—	4	1	no	—
1194	C₄	—	4	2	no	—
1195	C₄	—	4	2	no	—
1196	C₄	—	172	1	no	—
1197	C₄	—	172	2	no	—
1198	C₄	—	172	1	no	—
1199	C₄	C₂×#13063350	1	2	yes	—
1200	C₄	C₂×#13063350	1	2	yes	—
1201	C₄	C₂×#41×D₄₃	1	1	yes	characteristic
1202	C₄	#14583735	1	1	yes	characteristic
1203	C₂	—	2	2	no	—
1204	C₂	—	4	2	no	—
1205	C₂	—	4	2	no	—
1206	C₂	—	8	1	no	—
1207	C₂	—	344	1	no	—
1208	C₂	—	344	2	no	—
1209	C₂	—	172	2	no	—
1210	C₂	#41×C₂²⋊D₄₃	1	1	yes	characteristic
1211	C₂	C₂²×#13063350	1	1	yes	characteristic
1212	C₂	#19149366	1	1	yes	characteristic

	subgroup	G/H
center	C₂×C₄	C₂²×C₂²⋊D₄₃
commutator, cosocle	C₂×C₄×C₄₃	C₂⁵
Frattini	C₂×C₄	C₂⁴×D₄₃
Fitting	C₄₃×#3475	C₂
socle	C₂²×C₄₃	C₂³×D₄
hypercenter	#3475	D₄₃
hypocenter	C₄₃	#61437
LCS	G ▷ C₂×C₄×C₄₃ ▷ C₂×C₄₃ ▷ C₄₃
UCS	C₁ ◁ C₂×C₄ ◁ C₄×#41 ◁ #3475

Complements

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

N	H ≅ G/N	type
1. #41×D₁₇₂	C₂	semidirect
2. #19147615	C₂	semidirect
3. #19147494	C₂	semidirect
4. #19147309	C₂	semidirect
5. #19147302	C₂	semidirect
6. #19147184	C₂	semidirect
7. #19147035	C₂	semidirect
8. #19146900	C₂	semidirect
9. #19146831	C₂	semidirect
10. #19146610	C₂	semidirect
11. #19146556	C₂	semidirect
12. #19146195	C₂	semidirect
13. #19146076	C₂	semidirect
14. #19145191	C₂	semidirect
15. #19145155	C₂	semidirect
16. #19144655	C₂	semidirect
17. #19144638	C₂	semidirect
18. #19144599	C₂	semidirect
19. #19144595	C₂	semidirect
20. #19143562	C₂	semidirect
21. C₄×#13063350	C₂	semidirect
22. C₂×C₄×#10621882	C₂	semidirect
23. C₄₃×#3475	C₂	semidirect
27. #14583571	C₂²	semidirect
28. Q₈×D₁₇₂	C₂²	semidirect
31. #14583553	C₂²	semidirect
35. D₄×D₁₇₂	C₂²	semidirect
37. #14583449	C₂²	semidirect
41. C₂×C₄×D₁₇₂	C₂²	semidirect
42. #14583309	C₂²	semidirect
43. #14583295	C₂²	semidirect
44. #14583289	C₂²	semidirect
45. #14583273	C₂²	semidirect
46. #14583265	C₂²	semidirect
47. #14583258	C₂²	semidirect
48. #14583249	C₂²	semidirect
49. #14583247	C₂²	semidirect
50. #14583232	C₂²	semidirect
51. #14583227	C₂²	semidirect
52. #14583223	C₂²	semidirect
53. #14583223	C₂²	semidirect
54. #14583215	C₂²	semidirect
55. #14583212	C₂²	semidirect
56. #14583196	C₂²	semidirect
57. #14583196	C₂²	semidirect
58. #14583194	C₂²	semidirect
59. #14583189	C₂²	semidirect
60. #14583186	C₂²	semidirect
61. #14583186	C₂²	semidirect
62. #14583179	C₂²	semidirect
63. #14583179	C₂²	semidirect
64. #14583150	C₂²	semidirect
65. #14583150	C₂²	semidirect
66. #14583147	C₂²	semidirect
67. #14583147	C₂²	semidirect
68. #14583130	C₂²	semidirect
69. #14583130	C₂²	semidirect
71. #14583111	C₂²	semidirect
72. #14583101	C₂²	semidirect
73. #14583101	C₂²	semidirect
74. #14583099	C₂²	semidirect
75. #14583094	C₂²	semidirect
76. #14583094	C₂²	semidirect
77. #14583094	C₂²	semidirect
79. #14583049	C₂²	semidirect
80. #14583044	C₂²	semidirect
81. #14583044	C₂²	semidirect
82. #14583033	C₂²	semidirect
84. #14583030	C₂²	semidirect
85. #14583030	C₂²	semidirect
87. #14583009	C₂²	semidirect
88. #14582997	C₂²	semidirect
89. #14582997	C₂²	semidirect
90. C₄×#10621884	C₂²	semidirect
91. C₄×#10621884	C₂²	semidirect
92. C₄×#10621884	C₂²	semidirect
93. C₄×#10621884	C₂²	semidirect
98. C₄×#10621882	C₂²	semidirect
99. C₄×#10621882	C₂²	semidirect
100. C₄×#10621882	C₂²	semidirect
101. C₄×#10621882	C₂²	semidirect
102. C₄×#10621882	C₂²	semidirect
103. C₄×#10621882	C₂²	semidirect
104. #14582977	C₂²	semidirect
105. #14582977	C₂²	semidirect
106. #14582971	C₂²	semidirect
107. #14582971	C₂²	semidirect
108. #14582952	C₂²	semidirect
109. #14582952	C₂²	semidirect
110. #14582942	C₂²	semidirect
111. C₂×#13063258	C₂²	semidirect
112. #14582903	C₂²	semidirect
113. #14582900	C₂²	semidirect
114. C₂×#13063246	C₂²	semidirect
116. C₄×#10621877	C₂²	semidirect
117. C₂×C₄×C₄₃⋊C₈	C₂²	semidirect
118. C₄₃×#556	C₂²	semidirect
119. C₄₃×#555	C₂²	semidirect
120. C₄₃×#554	C₂²	semidirect
123. C₄₃×#552	C₂²	semidirect
125. C₄₃×#547	C₂²	semidirect
126. C₄₃×#546	C₂²	semidirect
127. C₄₃×#533	C₂²	semidirect
129. C₄₃×#529	C₂²	semidirect
132. C₄×#41×C₄₃	C₂²	semidirect
133. C₂×C₄×D₄×C₄₃	C₂²	semidirect
434. #10621882	#41	semidirect
490. D₄×C₄₃	C₂×#41	semidirect
509. C₂×C₄×C₄₃	AGL(1,ℤ/8)	semidirect
553. C₄₃⋊C₈	C₂×#41	semidirect
597. #3475	D₄₃	semidirect
633. #556	C₂×D₄₃	semidirect
634. #555	C₂×D₄₃	semidirect
635. #554	C₂×D₄₃	semidirect
638. #552	C₂×D₄₃	semidirect
645. #547	C₂×D₄₃	semidirect
648. #546	C₂×D₄₃	semidirect
651. #533	C₂×D₄₃	semidirect
655. #529	C₂×D₄₃	semidirect
660. C₄×#41	C₂×D₄₃	semidirect
663. C₂×C₄×D₄	C₂×D₄₃	semidirect
741. C₄₃	#61437	semidirect
1114. D₄	#41×D₄₃	semidirect
1145. C₂×C₄	#13063350	semidirect

Maximal subgroups

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

subgroup	index
#41×D₁₇₂	2
#19147615	2
#19147494	2
#19147309	2
#19147302	2
#19147184	2
#19147035	2
#19146900	2
#19146831	2
#19146610	2
#19146556	2
#19146195	2
#19146076	2
#19145191	2
#19145155	2
#19144655	2
#19144638	2
#19144599	2
#19144595	2
#19143562	2
C₄×#13063350	2
C₂×C₄×#10621882	2
C₄₃×#3475	2
#61437	43