Subgroups — #25983277

Order 11008.

2110 conjugacy classes of subgroups.

The subgroup lattice has 1242 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#19148986	C₂	1	1	yes	maximal, characteristic, complemented
2	#19148359	C₂	1	1	yes	maximal, characteristic, complemented
3	#19146913	C₂	1	1	yes	maximal, characteristic, complemented
4	#19146839	C₂	1	1	yes	maximal, characteristic, complemented
5	#19146808	C₂	1	2	yes	maximal, complemented
6	#19146525	C₂	1	1	yes	maximal, characteristic, complemented
7	#19146427	C₂	1	2	yes	maximal, complemented
8	#19146421	C₂	1	1	yes	maximal, characteristic, complemented
9	#19146316	C₂	1	1	yes	maximal, characteristic, complemented
10	#19146308	C₂	1	2	yes	maximal, complemented
11	SD₁₆×D₁₇₂	C₂	1	1	yes	maximal, characteristic, complemented
12	#19146242	C₂	1	1	yes	maximal, characteristic, complemented
13	#19146232	C₂	1	2	yes	maximal, complemented
14	#19146196	C₂	1	1	yes	maximal, characteristic, complemented
15	#19145567	C₂	1	1	yes	maximal, characteristic, complemented
16	#19145553	C₂	1	1	yes	maximal, characteristic, complemented
17	#19145508	C₂	1	2	yes	maximal, complemented
18	#19145482	C₂	1	2	yes	maximal, complemented
19	#19144603	C₂	1	1	yes	maximal, characteristic, complemented
20	#19143894	C₂	1	2	yes	maximal, complemented
21	#19143867	C₂	1	2	yes	maximal, complemented
22	#19143661	C₂	1	1	yes	maximal, characteristic, complemented
23	C₄₃×#3105	C₂	1	1	yes	maximal, characteristic, complemented
24	C₂×#13063370	C₂²	1	2	yes	—
25	C₂×#13063354	C₂²	1	2	yes	complemented
26	C₂×#13063349	C₂²	1	2	yes	complemented
27	C₂×#13063344	C₂²	1	2	yes	complemented
28	C₂×SD₁₆×D₄₃	C₂²	1	2	yes	complemented
29	#14583646	—	2	2	no	—
30	#14583614	—	2	1	no	—
31	#14583614	C₂²	1	1	yes	characteristic, complemented
32	#14583609	C₂²	1	1	yes	characteristic, complemented
33	#14583595	—	2	1	no	—
34	#14583587	C₂²	1	2	yes	complemented
35	Q₈×D₁₇₂	C₂²	1	1	yes	characteristic, complemented
36	#14583557	C₂²	1	2	yes	complemented
37	#14583553	—	2	1	no	—
38	#14583553	C₂²	1	1	yes	characteristic
39	#14583553	C₂²	1	1	yes	characteristic
40	#14583553	C₂²	1	1	yes	characteristic, complemented
41	#14583544	—	2	2	no	—
42	#14583544	C₂²	1	2	yes	—
43	#14583544	C₂²	1	2	yes	—
44	D₄×D₁₇₂	—	2	1	no	—
45	D₄×D₁₇₂	C₂²	1	1	yes	characteristic
46	D₄×D₁₇₂	C₂²	1	1	yes	characteristic
47	#14583527	—	2	1	no	—
48	#14583515	—	2	2	no	—
49	#14583504	—	2	1	no	—
50	#14583480	C₂²	1	2	yes	—
51	#14583478	C₂²	1	2	yes	complemented
52	#14583472	C₂²	1	2	yes	complemented
53	#14583461	—	2	2	no	—
54	#14583456	C₂²	1	1	yes	characteristic, complemented
55	#14583449	C₂²	1	1	yes	characteristic
56	#14583449	C₂²	1	1	yes	characteristic
57	C₂×#13063299	—	2	1	no	—
58	C₂×#13063299	—	2	1	no	—
59	#14583281	C₂²	1	2	yes	complemented
60	#14583279	C₂²	1	1	yes	characteristic, complemented
61	#14583272	C₂²	1	1	yes	characteristic, complemented
62	#14583256	C₂²	1	2	yes	complemented
63	#14583250	C₂²	1	1	yes	characteristic, complemented
64	#14583246	C₂²	1	1	yes	characteristic, complemented
65	#14583242	C₂²	1	2	yes	complemented
66	#14583231	C₂²	1	2	yes	complemented
67	#14583229	C₂²	1	2	yes	complemented
68	#14583226	C₂²	1	2	yes	complemented
69	#14583219	C₂²	1	2	yes	complemented
70	#14583189	C₂²	1	1	yes	characteristic, complemented
71	#14583189	C₂²	1	1	yes	characteristic, complemented
72	#14583158	C₂²	1	2	yes	complemented
73	#14583156	C₂²	1	2	yes	complemented
74	#14583151	C₂²	1	2	yes	complemented
75	#14583146	C₂²	1	2	yes	complemented
76	#14583141	C₂²	1	2	yes	complemented
77	#14583131	C₂²	1	2	yes	complemented
78	#14583129	C₂²	1	2	yes	complemented
79	#14583127	C₂²	1	2	yes	complemented
80	#14583122	C₂²	1	2	yes	complemented
81	#14583122	C₂²	1	2	yes	complemented
82	#14583109	C₂²	1	1	yes	characteristic, complemented
83	#14583104	C₂²	1	1	yes	characteristic, complemented
84	#14583104	C₂²	1	1	yes	characteristic, complemented
85	#14583104	C₂²	1	1	yes	characteristic, complemented
86	#14583099	C₂²	1	1	yes	characteristic, complemented
87	#14583094	C₂²	1	1	yes	characteristic, complemented
88	#14583063	C₂²	1	2	yes	complemented
89	#14583063	C₂²	1	2	yes	complemented
90	#14583062	C₂²	1	2	yes	complemented
91	#14583062	C₂²	1	2	yes	complemented
92	#14583062	C₂²	1	2	yes	complemented
93	#14583059	C₂²	1	2	yes	complemented
94	#14583058	C₂²	1	2	yes	complemented
95	#14583056	C₂²	1	2	yes	complemented
96	#14583051	C₂²	1	2	yes	complemented
97	#14583051	C₂²	1	2	yes	complemented
98	#14583050	C₂²	1	2	yes	—
99	#14583048	C₂²	1	2	yes	complemented
100	#14583045	C₂²	1	2	yes	complemented
101	#14583042	C₂²	1	2	yes	complemented
102	#14583041	C₂²	1	2	yes	complemented
103	#14583039	C₂²	1	2	yes	complemented
104	#14583031	C₂²	1	2	yes	complemented
105	C₄×#10621883	C₂²	1	2	yes	complemented
106	C₄×#10621883	C₂²	1	2	yes	complemented
107	#14582978	C₂²	1	1	yes	characteristic, complemented
108	#14582978	C₂²	1	1	yes	characteristic, complemented
109	#14582976	C₂²	1	2	yes	complemented
110	C₈×D₁₇₂	C₂²	1	1	yes	characteristic, complemented
111	C₈×D₁₇₂	C₂²	1	1	yes	characteristic, complemented
112	#14582964	C₂²	1	2	yes	complemented
113	#14582952	C₂²	1	1	yes	characteristic, complemented
114	#14582902	C₂²	1	2	yes	complemented
115	#14582897	C₂²	1	2	yes	complemented
116	#14582892	C₂²	1	2	yes	complemented
117	#102×D₄₃	C₂²	1	2	yes	complemented
118	#14582864	C₂²	1	2	yes	complemented
119	#14582864	C₂²	1	2	yes	complemented
120	C₄₃×#529	C₂²	1	1	yes	characteristic, complemented
121	C₂×C₄×D₄×C₄₃	C₂²	1	1	yes	characteristic
122	C₄₃×#484	C₂²	1	1	yes	characteristic, complemented
123	C₄₃×#481	C₂²	1	1	yes	characteristic, complemented
124	C₄₃×#478	C₂²	1	1	yes	characteristic, complemented
125	C₄₃×#478	C₂²	1	1	yes	characteristic, complemented
126	C₄₃×#463	C₂²	1	1	yes	characteristic, complemented
127	C₄₃×#463	C₂²	1	1	yes	characteristic, complemented
128	C₄₃×#450	C₂²	1	1	yes	characteristic
129	C₄₃×#447	C₂²	1	1	yes	characteristic
130	C₄×SD₁₆×C₄₃	C₂²	1	1	yes	characteristic, complemented
131	C₄×SD₁₆×C₄₃	C₂²	1	1	yes	characteristic, complemented
132	C₄×D₈×C₄₃	C₂²	1	1	yes	characteristic, complemented
133	C₄×D₈×C₄₃	C₂²	1	1	yes	characteristic, complemented
134	C₄₃×#431	C₂²	1	1	yes	characteristic, complemented
135	#13063370	—	4	4	no	—
136	#13063370	—	4	4	no	—
137	C₂×#10621898	C₂³	1	2	yes	—
138	C₂×#10621898	C₂³	1	2	yes	—
139	C₂×#10621900	—	2	2	no	—
140	C₂×#10621900	C₂³	1	2	yes	—
141	C₂×#10621900	C₂³	1	2	yes	—
142	C₂×#10621900	C₂³	1	2	yes	—
143	C₂×Q₈×D₄₃	C₂³	1	2	yes	—
144	C₂²×D₁₇₂	—	2	1	no	—
145	C₂²×D₁₇₂	—	2	1	no	—
146	C₂²×C₂²⋊D₄₃	—	2	2	no	—
147	C₂²×C₂²⋊D₄₃	—	2	2	no	—
148	C₂×D₄×D₄₃	—	2	2	no	—
149	C₂×D₄×D₄₃	C₂³	1	2	yes	—
150	C₂×D₄×D₄₃	C₂³	1	2	yes	—
151	#13063354	—	4	4	no	—
152	#13063349	—	4	4	no	—
153	#13063344	—	4	4	no	—
154	C₂×Dic₁₇₂	C₂³	1	2	yes	—
155	C₂×Dic₁₇₂	C₂³	1	2	yes	—
156	C₂×#10621885	C₂³	1	2	yes	—
157	C₂×#10621873	C₂³	1	2	yes	—
158	C₂×#10621873	C₂³	1	2	yes	—
159	C₂×#10621883	C₂³	1	2	yes	—
160	C₂×#10621883	C₂³	1	2	yes	—
161	C₂×#10621883	C₂³	1	2	yes	—
162	C₂×#10621884	C₂³	1	2	yes	—
163	SD₁₆×D₄₃	—	4	4	no	—
164	C₂×#10621882	C₂³	1	2	yes	—
165	C₂×#10621872	C₂³	1	2	yes	—
166	C₂×#10621872	C₂³	1	2	yes	—
167	C₂×C₈×D₄₃	C₂³	1	2	yes	—
168	C₂×C₈×D₄₃	C₂³	1	2	yes	—
169	#13063325	—	2	1	no	—
170	#13063325	D₄	1	1	yes	characteristic
171	#13063325	C₂³	1	1	yes	characteristic
172	#13063325	C₂³	1	1	yes	characteristic
173	#13063325	C₂³	1	1	yes	characteristic
174	#13063324	—	2	2	no	—
175	#13063322	D₄	1	1	yes	characteristic
176	#13063322	C₂³	1	1	yes	characteristic
177	#13063320	—	2	2	no	—
178	#13063317	—	2	1	no	—
179	#13063317	—	2	1	no	—
180	#13063316	—	2	2	no	—
181	#13063313	D₄	1	2	yes	—
182	#13063313	C₂³	1	2	yes	—
183	#13063311	—	2	2	no	—
184	#13063311	—	2	2	no	—
185	#13063311	—	2	2	no	—
186	#13063310	—	2	2	no	—
187	#13063310	—	2	2	no	—
188	#13063309	—	2	2	no	—
189	#13063309	—	2	2	no	—
190	#13063309	—	2	2	no	—
191	#13063309	—	2	2	no	—
192	#13063309	—	2	2	no	—
193	#13063307	—	2	2	no	—
194	#13063305	—	2	2	no	—
195	#13063305	—	2	2	no	—
196	#13063305	C₂³	1	2	yes	—
197	#13063305	C₂³	1	2	yes	—
198	#13063305	C₂³	1	2	yes	—
199	#13063305	C₂³	1	2	yes	—
200	#13063304	—	2	1	no	—
201	#13063304	C₂³	1	2	yes	—
202	#13063303	—	2	2	no	—
203	#13063302	—	2	2	no	—
204	#13063302	—	2	2	no	—
205	#13063301	C₂³	1	2	yes	—
206	#13063300	—	2	2	no	—
207	#13063300	C₂³	1	2	yes	—
208	#13063300	C₂³	1	2	yes	—
209	#13063299	—	2	1	no	—
210	#13063299	—	2	1	no	—
211	#13063299	—	2	2	no	—
212	#13063299	—	2	2	no	—
213	#13063299	—	2	1	no	—
214	#13063299	—	2	1	no	—
215	#13063299	—	2	1	no	—
216	#13063299	—	2	1	no	—
217	#13063299	—	2	2	no	—
218	#13063299	—	2	2	no	—
219	#13063299	—	2	1	no	—
220	#13063299	—	2	1	no	—
221	#13063299	D₄	1	1	yes	characteristic
222	#13063299	D₄	1	1	yes	characteristic
223	#13063299	D₄	1	2	yes	—
224	#13063298	—	2	2	no	—
225	#13063298	—	2	2	no	—
226	#13063297	—	2	2	no	—
227	#13063296	—	2	2	no	—
228	#13063296	C₂³	1	2	yes	—
229	#13063295	—	2	2	no	—
230	#13063295	—	2	2	no	—
231	#13063295	—	2	2	no	—
232	#13063295	—	2	2	no	—
233	C₄×Dic₈₆	—	2	1	no	—
234	C₄×Dic₈₆	C₂³	1	2	yes	—
235	C₄×D₁₇₂	—	2	1	no	—
236	C₄×D₁₇₂	—	2	1	no	—
237	C₄×D₁₇₂	—	2	1	no	—
238	C₄×D₁₇₂	—	2	1	no	—
239	C₄×D₁₇₂	C₂³	1	1	yes	characteristic
240	C₄×D₁₇₂	C₂³	1	1	yes	characteristic
241	C₄×D₁₇₂	C₂³	1	2	yes	—
242	(C₂²⋊D₄₃)⋊C₄	—	2	2	no	—
243	#13063284	—	2	1	no	—
244	#13063284	—	2	1	no	—
245	#13063283	—	2	2	no	—
246	#13063283	C₂³	1	2	yes	—
247	C₂×C₄⋊Dic₄₃	—	2	1	no	—
248	C₂×C₄⋊Dic₄₃	—	2	1	no	—
249	C₂×C₄⋊Dic₄₃	—	2	1	no	—
250	C₄⋊C₄×D₄₃	C₂³	1	2	yes	—
251	C₂×(C₂×D₄₃)⋊C₄	—	2	2	no	—
252	C₂×(C₂×D₄₃)⋊C₄	—	2	2	no	—
253	#13063256	C₂³	1	2	yes	—
254	#13063256	C₂³	1	2	yes	—
255	C₄⋊(C₄₃⋊C₈)	C₂³	1	1	yes	characteristic
256	C₄⋊(C₄₃⋊C₈)	C₂³	1	1	yes	characteristic
257	#13063250	C₂³	1	2	yes	—
258	#13063250	C₂³	1	2	yes	—
259	#13063248	C₂³	1	2	yes	—
260	#13063248	C₂³	1	2	yes	—
261	#13063248	C₂³	1	2	yes	—
262	#13063248	C₂³	1	2	yes	—
263	#13063247	C₂³	1	2	yes	—
264	#13063247	C₂³	1	2	yes	—
265	#13063246	C₂³	1	2	yes	—
266	#13063246	C₂³	1	2	yes	—
267	#13063245	C₂³	1	2	yes	—
268	#13063245	C₂³	1	2	yes	—
269	C₂²⋊(C₄₃⋊C₈)	C₂³	1	2	yes	—
270	(C₂×D₄₃)⋊C₈	C₂³	1	2	yes	—
271	(C₂×D₄₃)⋊C₈	C₂³	1	2	yes	—
272	(C₂×D₄₃)⋊C₈	C₂³	1	2	yes	—
273	(C₂×D₄₃)⋊C₈	C₂³	1	2	yes	—
274	C₄×C₄₃⋊C₈	C₂³	1	2	yes	—
275	C₂²×D₄×C₄₃	C₂³	1	1	yes	characteristic
276	C₂³×C₄×C₄₃	—	2	1	no	—
277	C₂×SD₁₆×C₄₃	C₂³	1	1	yes	characteristic
278	C₂×SD₁₆×C₄₃	C₂³	1	1	yes	characteristic
279	C₂×D₈×C₄₃	C₂³	1	1	yes	characteristic
280	C₂×D₈×C₄₃	C₂³	1	1	yes	characteristic
281	#126×C₄₃	—	2	1	no	—
282	#125×C₄₃	C₂³	1	1	yes	characteristic
283	#124×C₄₃	C₂³	1	1	yes	characteristic
284	#123×C₄₃	—	2	1	no	—
285	C₂²⋊Q₈×C₄₃	C₂³	1	1	yes	characteristic
286	#121×C₄₃	C₂³	1	1	yes	characteristic
287	C₄×Q₈×C₄₃	C₂³	1	1	yes	characteristic
288	C₄×D₄×C₄₃	—	2	1	no	—
289	C₄×D₄×C₄₃	—	2	1	no	—
290	C₄×D₄×C₄₃	—	2	1	no	—
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	1	yes	characteristic
296	#117×C₄₃	—	2	1	no	—
297	C₂×C₄⋊C₄×C₄₃	C₂³	1	1	yes	characteristic
298	C₂×C₂²⋊C₄×C₄₃	—	2	1	no	—
299	C₂×C₄²×C₄₃	C₂³	1	1	yes	characteristic
300	#107×C₄₃	C₂³	1	1	yes	characteristic
301	#107×C₄₃	C₂³	1	1	yes	characteristic
302	#106×C₄₃	C₂³	1	1	yes	characteristic
303	#106×C₄₃	C₂³	1	1	yes	characteristic
304	C₄⋊C₈×C₄₃	C₂³	1	1	yes	characteristic
305	C₄⋊C₈×C₄₃	C₂³	1	1	yes	characteristic
306	#103×C₄₃	C₂³	1	1	yes	characteristic
307	#103×C₄₃	C₂³	1	1	yes	characteristic
308	#102×C₄₃	C₂³	1	1	yes	characteristic
309	#102×C₄₃	C₂³	1	1	yes	characteristic
310	#102×C₄₃	C₂³	1	1	yes	characteristic
311	#102×C₄₃	C₂³	1	1	yes	characteristic
312	#102×C₄₃	C₂³	1	1	yes	characteristic
313	#102×C₄₃	C₂³	1	1	yes	characteristic
314	C₂²⋊C₈×C₄₃	C₂³	1	1	yes	characteristic
315	C₂²⋊C₈×C₄₃	C₂³	1	1	yes	characteristic
316	C₄×C₈×C₄₃	C₂³	1	1	yes	characteristic
317	C₄×C₈×C₄₃	C₂³	1	1	yes	characteristic
318	C₂⁴×C₄₃	—	2	1	no	—
319	C₂³×D₄₃	—	2	2	no	—
320	C₂³×D₄₃	—	2	2	no	—
321	C₂×Q₈×C₄₃	C₂⁴	1	1	yes	characteristic
322	C₂×D₄×C₄₃	—	2	2	no	—
323	C₂×D₄×C₄₃	—	2	2	no	—
324	C₂×D₄×C₄₃	—	2	1	no	—
325	C₂×D₄×C₄₃	—	2	1	no	—
326	C₂×D₄×C₄₃	C₂⁴	1	1	yes	characteristic
327	C₂×D₄×C₄₃	C₂⁴	1	1	yes	characteristic
328	C₂×D₄×C₄₃	C₂⁴	1	1	yes	characteristic
329	C₂²×C₄×C₄₃	—	2	1	no	—
330	C₂²×C₄×C₄₃	—	2	1	no	—
331	C₂²×C₄×C₄₃	—	2	1	no	—
332	C₂²×C₄×C₄₃	—	2	1	no	—
333	C₂²×C₄×C₄₃	—	2	1	no	—
334	C₂²×C₄×C₄₃	—	2	1	no	—
335	C₂²×C₄×C₄₃	—	8	2	no	—
336	C₂²×C₄×C₄₃	C₂×D₄	1	1	yes	characteristic
337	C₂²×C₄×C₄₃	C₂×D₄	1	1	yes	characteristic
338	C₂²×C₄×C₄₃	C₂⁴	1	1	yes	characteristic
339	C₂×C₂²⋊D₄₃	—	2	2	no	—
340	C₂×C₂²⋊D₄₃	—	2	2	no	—
341	C₂×C₂²⋊D₄₃	—	2	2	no	—
342	C₂×C₂²⋊D₄₃	—	2	2	no	—
343	C₂×C₂²⋊D₄₃	—	2	2	no	—
344	C₂×C₂²⋊D₄₃	—	2	2	no	—
345	C₂×C₂²⋊D₄₃	—	2	2	no	—
346	C₂×C₂²⋊D₄₃	—	4	8	no	—
347	C₂×C₂²⋊D₄₃	—	4	8	no	—
348	C₂×C₂²⋊D₄₃	C₂×D₄	1	2	yes	—
349	C₂×C₂²⋊D₄₃	C₂×D₄	1	2	yes	—
350	C₂²×Dic₄₃	—	2	2	no	—
351	C₂²×Dic₄₃	—	2	2	no	—
352	C₂²×Dic₄₃	—	2	2	no	—
353	Q₈×D₄₃	—	4	2	no	—
354	Q₈×D₄₃	—	4	2	no	—
355	#10621900	—	2	4	no	—
356	#10621900	—	2	4	no	—
357	#10621900	—	4	2	no	—
358	#10621900	—	4	2	no	—
359	#10621900	—	4	2	no	—
360	#10621900	—	4	2	no	—
361	#10621900	—	4	8	no	—
362	D₄×D₄₃	—	2	4	no	—
363	D₄×D₄₃	—	2	4	no	—
364	D₄×D₄₃	—	4	2	no	—
365	D₄×D₄₃	—	4	2	no	—
366	D₄×D₄₃	—	4	8	no	—
367	#10621898	—	4	2	no	—
368	#10621898	—	4	2	no	—
369	#10621898	—	4	2	no	—
370	#10621898	—	4	2	no	—
371	C₂×D₁₇₂	—	2	1	no	—
372	C₂×D₁₇₂	—	2	1	no	—
373	C₂×D₁₇₂	—	2	2	no	—
374	C₂×D₁₇₂	—	2	2	no	—
375	C₂×D₁₇₂	—	8	2	no	—
376	C₂×D₁₇₂	—	8	2	no	—
377	C₂×D₁₇₂	C₂×D₄	1	1	yes	characteristic
378	C₂×D₁₇₂	C₂×D₄	1	1	yes	characteristic
379	C₂×D₁₇₂	C₂×D₄	1	2	yes	—
380	C₂×D₁₇₂	C₂×D₄	1	2	yes	—
381	C₂×D₁₇₂	C₂⁴	1	2	yes	—
382	C₂×C₄×D₄₃	—	2	2	no	—
383	C₂×C₄×D₄₃	—	2	2	no	—
384	C₂×C₄×D₄₃	—	2	2	no	—
385	C₂×C₄×D₄₃	C₂⁴	1	2	yes	—
386	C₂×C₄×D₄₃	C₂⁴	1	2	yes	—
387	C₂×Dic₈₆	—	2	1	no	—
388	C₂×Dic₈₆	—	2	2	no	—
389	C₂×Dic₈₆	C₂×D₄	1	2	yes	—
390	C₂×Dic₈₆	C₂⁴	1	2	yes	—
391	C₂×Dic₈₆	C₂⁴	1	2	yes	—
392	SD₁₆×C₄₃	—	2	2	no	—
393	SD₁₆×C₄₃	—	2	2	no	—
394	D₈×C₄₃	—	2	2	no	—
395	D₈×C₄₃	—	2	2	no	—
396	C₂×C₈×C₄₃	C₂⁴	1	1	yes	characteristic
397	C₂×C₈×C₄₃	C₂⁴	1	1	yes	characteristic
398	C₂×C₈×C₄₃	C₂⁴	1	1	yes	characteristic
399	C₂×C₈×C₄₃	C₂⁴	1	1	yes	characteristic
400	C₄⋊C₄×C₄₃	—	2	1	no	—
401	C₄⋊C₄×C₄₃	—	2	1	no	—
402	C₄⋊C₄×C₄₃	—	2	1	no	—
403	C₄⋊C₄×C₄₃	—	2	1	no	—
404	C₄⋊C₄×C₄₃	—	2	1	no	—
405	C₄⋊C₄×C₄₃	C₂⁴	1	1	yes	characteristic
406	C₄⋊C₄×C₄₃	C₂⁴	1	1	yes	characteristic
407	C₄⋊C₄×C₄₃	C₂⁴	1	1	yes	characteristic
408	C₄⋊C₄×C₄₃	C₂⁴	1	1	yes	characteristic
409	C₂²⋊C₄×C₄₃	—	2	1	no	—
410	C₂²⋊C₄×C₄₃	—	2	1	no	—
411	C₂²⋊C₄×C₄₃	—	2	1	no	—
412	C₂²⋊C₄×C₄₃	—	2	1	no	—
413	C₂²⋊C₄×C₄₃	—	2	1	no	—
414	C₂²⋊C₄×C₄₃	—	2	1	no	—
415	C₂²⋊C₄×C₄₃	—	2	1	no	—
416	C₂²⋊C₄×C₄₃	—	2	1	no	—
417	C₂²⋊C₄×C₄₃	—	2	1	no	—
418	C₄²×C₄₃	—	2	1	no	—
419	C₄²×C₄₃	C₂×D₄	1	1	yes	characteristic
420	C₄²×C₄₃	C₂×D₄	1	1	yes	characteristic
421	C₄²×C₄₃	C₂⁴	1	1	yes	characteristic
422	C₄²×C₄₃	C₂⁴	1	1	yes	characteristic
423	C₂²⋊Dic₄₃	—	2	2	no	—
424	C₂²⋊Dic₄₃	—	2	2	no	—
425	#10621885	—	4	2	no	—
426	#10621884	—	4	2	no	—
427	#10621883	—	2	4	no	—
428	#10621883	—	2	4	no	—
429	#10621883	—	4	2	no	—
430	#10621882	—	4	2	no	—
431	(C₂×D₄₃)⋊C₄	—	2	2	no	—
432	(C₂×D₄₃)⋊C₄	—	2	2	no	—
433	(C₂×D₄₃)⋊C₄	—	2	2	no	—
434	(C₂×D₄₃)⋊C₄	—	2	2	no	—
435	(C₂×D₄₃)⋊C₄	—	2	2	no	—
436	(C₂×D₄₃)⋊C₄	—	2	2	no	—
437	(C₂×D₄₃)⋊C₄	—	2	2	no	—
438	(C₂×D₄₃)⋊C₄	—	2	2	no	—
439	(C₂×D₄₃)⋊C₄	—	2	2	no	—
440	(C₂×D₄₃)⋊C₄	—	2	2	no	—
441	(C₂×D₄₃)⋊C₄	C₂×D₄	1	2	yes	—
442	(C₂×D₄₃)⋊C₄	C₂×D₄	1	2	yes	—
443	(C₂×D₄₃)⋊C₄	C₂×D₄	1	2	yes	—
444	(C₂×D₄₃)⋊C₄	C₂×D₄	1	2	yes	—
445	C₄⋊Dic₄₃	—	2	1	no	—
446	C₄⋊Dic₄₃	—	2	1	no	—
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	—	2	2	no	—
454	C₄⋊Dic₄₃	C₂×D₄	1	1	yes	characteristic
455	C₄⋊Dic₄₃	C₂×D₄	1	1	yes	characteristic
456	C₄⋊Dic₄₃	C₂×D₄	1	2	yes	—
457	C₄⋊Dic₄₃	C₂⁴	1	2	yes	—
458	Dic₄₃⋊C₄	—	2	2	no	—
459	Dic₄₃⋊C₄	—	2	2	no	—
460	Dic₄₃⋊C₄	—	2	2	no	—
461	Dic₄₃⋊C₄	—	2	2	no	—
462	C₄×Dic₄₃	—	2	2	no	—
463	C₄×Dic₄₃	—	2	2	no	—
464	C₂×C₄₃⋊C₈	C₂⁴	1	2	yes	—
465	C₂×C₄₃⋊C₈	C₂⁴	1	2	yes	—
466	Dic₁₇₂	—	4	2	no	—
467	Dic₁₇₂	—	4	2	no	—
468	#10621873	—	4	2	no	—
469	#10621873	—	4	2	no	—
470	#10621872	—	4	2	no	—
471	#10621872	—	4	2	no	—
472	C₈×D₄₃	—	4	2	no	—
473	C₈×D₄₃	—	4	2	no	—
474	C₂³×C₄₃	—	2	4	no	—
475	C₂³×C₄₃	—	2	1	no	—
476	C₂³×C₄₃	—	2	1	no	—
477	C₂³×C₄₃	—	2	1	no	—
478	C₂³×C₄₃	—	8	1	no	—
479	C₂³×C₄₃	—	8	1	no	—
480	C₂³×C₄₃	C₂²×D₄	1	1	yes	characteristic
481	C₂²×D₄₃	—	2	2	no	—
482	C₂²×D₄₃	—	4	4	no	—
483	C₂²×D₄₃	—	4	4	no	—
484	C₂²×D₄₃	—	8	2	no	—
485	C₂²×D₄₃	—	8	2	no	—
486	C₂²×D₄₃	—	8	2	no	—
487	C₂²×D₄₃	—	8	2	no	—
488	C₂²×D₄₃	C₂²×D₄	1	2	yes	—
489	C₂²×D₄₃	C₂²×D₄	1	2	yes	—
490	Q₈×C₄₃	—	2	1	no	—
491	Q₈×C₄₃	—	2	1	no	—
492	D₄×C₄₃	—	2	4	no	—
493	D₄×C₄₃	—	2	1	no	—
494	D₄×C₄₃	—	2	1	no	—
495	D₄×C₄₃	—	2	1	no	—
496	D₄×C₄₃	—	2	1	no	—
497	D₄×C₄₃	—	8	1	no	—
498	D₄×C₄₃	H(5,𝔽₂)	1	2	yes	—
499	D₄×C₄₃	H(5,𝔽₂)	1	2	yes	—
500	C₂×C₄×C₄₃	—	2	2	no	—
501	C₂×C₄×C₄₃	—	2	1	no	—
502	C₂×C₄×C₄₃	—	2	1	no	—
503	C₂×C₄×C₄₃	—	2	1	no	—
504	C₂×C₄×C₄₃	—	2	1	no	—
505	C₂×C₄×C₄₃	—	2	1	no	—
506	C₂×C₄×C₄₃	—	2	1	no	—
507	C₂×C₄×C₄₃	—	2	1	no	—
508	C₂×C₄×C₄₃	—	4	1	no	—
509	C₂×C₄×C₄₃	—	4	2	no	—
510	C₂×C₄×C₄₃	—	4	2	no	—
511	C₂×C₄×C₄₃	—	4	2	no	—
512	C₂×C₄×C₄₃	—	8	1	no	—
513	C₂×C₄×C₄₃	—	8	1	no	—
514	C₂×C₄×C₄₃	—	8	1	no	—
515	C₂×C₄×C₄₃	C₂²×D₄	1	1	yes	characteristic
516	C₂×C₄×C₄₃	C₂²×D₄	1	1	yes	characteristic
517	C₂×C₄×C₄₃	C₂²×D₄	1	1	yes	characteristic
518	C₂×C₄×C₄₃	C₂²×D₄	1	1	yes	characteristic
519	C₂×C₄×C₄₃	C₂²×D₄	1	1	yes	characteristic
520	C₂×C₄×C₄₃	C₂⁵	1	1	yes	characteristic
521	C₂²⋊D₄₃	—	4	2	no	—
522	C₂²⋊D₄₃	—	4	2	no	—
523	C₂²⋊D₄₃	—	4	4	no	—
524	C₂²⋊D₄₃	—	4	4	no	—
525	C₂²⋊D₄₃	—	4	4	no	—
526	C₂²⋊D₄₃	—	4	4	no	—
527	C₂²⋊D₄₃	—	4	4	no	—
528	C₂²⋊D₄₃	—	8	2	no	—
529	C₂²⋊D₄₃	—	8	2	no	—
530	C₂×Dic₄₃	—	2	2	no	—
531	C₂×Dic₄₃	—	2	2	no	—
532	C₂×Dic₄₃	—	2	2	no	—
533	C₂×Dic₄₃	—	4	4	no	—
534	C₂×Dic₄₃	—	4	4	no	—
535	C₂×Dic₄₃	—	8	2	no	—
536	C₂×Dic₄₃	C₂²×D₄	1	2	yes	—
537	C₂×Dic₄₃	C₂²×D₄	1	2	yes	—
538	D₁₇₂	—	2	2	no	—
539	D₁₇₂	—	2	2	no	—
540	D₁₇₂	—	2	2	no	—
541	D₁₇₂	—	2	2	no	—
542	D₁₇₂	—	4	2	no	—
543	D₁₇₂	—	4	2	no	—
544	D₁₇₂	—	4	2	no	—
545	D₁₇₂	—	8	1	no	—
546	D₁₇₂	—	8	2	no	—
547	D₁₇₂	—	8	2	no	—
548	C₄×D₄₃	—	2	2	no	—
549	C₄×D₄₃	—	2	2	no	—
550	C₄×D₄₃	—	2	2	no	—
551	C₄×D₄₃	—	2	2	no	—
552	C₄×D₄₃	—	4	4	no	—
553	C₄×D₄₃	—	8	2	no	—
554	C₄×D₄₃	—	8	2	no	—
555	Dic₈₆	—	2	2	no	—
556	Dic₈₆	—	2	2	no	—
557	Dic₈₆	—	2	2	no	—
558	Dic₈₆	—	2	2	no	—
559	Dic₈₆	—	4	2	no	—
560	Dic₈₆	—	8	2	no	—
561	Dic₈₆	—	8	1	no	—
562	C₈×C₄₃	—	2	1	no	—
563	C₈×C₄₃	—	2	1	no	—
564	C₈×C₄₃	—	2	1	no	—
565	C₈×C₄₃	—	2	1	no	—
566	C₄₃⋊C₈	—	2	2	no	—
567	C₄₃⋊C₈	—	2	2	no	—
568	#61658	—	43	1	no	maximal, Sylow
569	C₂²×C₄₃	—	2	1	no	—
570	C₂²×C₄₃	—	2	2	no	—
571	C₂²×C₄₃	—	2	2	no	—
572	C₂²×C₄₃	—	2	1	no	—
573	C₂²×C₄₃	—	2	1	no	—
574	C₂²×C₄₃	—	4	1	no	—
575	C₂²×C₄₃	—	4	1	no	—
576	C₂²×C₄₃	—	4	1	no	—
577	C₂²×C₄₃	—	4	1	no	—
578	C₂²×C₄₃	—	4	1	no	—
579	C₂²×C₄₃	—	4	1	no	—
580	C₂²×C₄₃	—	4	1	no	—
581	C₂²×C₄₃	—	8	4	no	—
582	C₂²×C₄₃	C₂³×D₄	1	1	yes	characteristic
583	C₂×D₄₃	—	2	2	no	—
584	C₂×D₄₃	—	2	2	no	—
585	C₂×D₄₃	—	2	2	no	—
586	C₂×D₄₃	—	2	2	no	—
587	C₂×D₄₃	—	2	2	no	—
588	C₂×D₄₃	—	2	2	no	—
589	C₂×D₄₃	—	4	2	no	—
590	C₂×D₄₃	—	4	2	no	—
591	C₂×D₄₃	—	4	2	no	—
592	C₂×D₄₃	—	16	4	no	—
593	C₂×D₄₃	—	16	4	no	—
594	C₄×C₄₃	—	2	1	no	—
595	C₄×C₄₃	—	2	1	no	—
596	C₄×C₄₃	—	2	1	no	—
597	C₄×C₄₃	—	2	1	no	—
598	C₄×C₄₃	—	4	1	no	—
599	C₄×C₄₃	—	4	1	no	—
600	C₄×C₄₃	—	4	1	no	—
601	C₄×C₄₃	—	4	1	no	—
602	C₄×C₄₃	—	4	1	no	—
603	C₄×C₄₃	#577	1	2	yes	—
604	C₄×C₄₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
605	C₄×C₄₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
606	Dic₄₃	—	2	2	no	—
607	Dic₄₃	—	2	2	no	—
608	Dic₄₃	—	4	2	no	—
609	Dic₄₃	—	4	2	no	—
610	Dic₄₃	—	4	2	no	—
611	#3547	—	43	1	no	—
612	#3496	—	43	1	no	—
613	#3331	—	43	1	no	—
614	#3325	—	43	1	no	—
615	#3323	—	43	2	no	—
616	#3303	—	43	1	no	—
617	#3296	—	43	2	no	—
618	#3295	—	43	1	no	—
619	#3283	—	43	1	no	—
620	#3282	—	43	2	no	—
621	D₄×SD₁₆	—	43	1	no	—
622	#3276	—	43	1	no	—
623	#3275	—	43	2	no	—
624	#3272	—	43	1	no	—
625	#3212	—	43	1	no	—
626	#3210	—	43	1	no	—
627	#3204	—	43	2	no	—
628	#3201	—	43	2	no	—
629	#3105	D₄₃	1	1	yes	characteristic, complemented
630	#3101	—	43	1	no	—
631	#3012	—	43	2	no	—
632	#3009	—	43	2	no	—
633	#2979	—	43	1	no	—
634	C₂×C₄₃	—	4	2	no	—
635	C₂×C₄₃	—	4	2	no	—
636	C₂×C₄₃	—	4	1	no	—
637	C₂×C₄₃	—	8	1	no	—
638	C₂×C₄₃	#3484	1	1	yes	characteristic
639	C₂×C₄₃	C₂×#577	1	1	yes	characteristic
640	C₂×C₄₃	#3584	1	1	yes	characteristic
641	D₄₃	—	4	2	no	—
642	D₄₃	—	4	2	no	—
643	D₄₃	—	8	2	no	—
644	C₂×H(5,𝔽₂)	—	43	2	no	—
645	C₂×#137	—	43	2	no	—
646	C₂×AGL(1,ℤ/8)	—	43	2	no	—
647	C₂×#135	—	43	2	no	—
648	C₂²×SD₁₆	—	43	2	no	—
649	#562	—	86	2	no	—
650	#555	—	43	1	no	—
651	#555	—	86	1	no	—
652	#554	—	43	1	no	—
653	#553	—	86	1	no	—
654	#552	—	43	2	no	—
655	D₄×Q₈	—	43	1	no	—
656	#548	—	43	2	no	—
657	#547	—	43	1	no	—
658	#547	—	43	1	no	—
659	#547	—	43	1	no	—
660	#547	—	86	1	no	—
661	#546	—	43	2	no	—
662	#546	—	43	2	no	—
663	#546	—	86	2	no	—
664	D₄²	—	43	1	no	—
665	D₄²	—	43	1	no	—
666	D₄²	—	86	1	no	—
667	#544	—	86	1	no	—
668	#542	—	86	2	no	—
669	#540	—	86	1	no	—
670	#537	—	43	2	no	—
671	#537	—	43	2	no	—
672	#536	—	43	2	no	—
673	#534	—	86	2	no	—
674	#533	—	43	1	no	—
675	#532	—	43	1	no	—
676	#532	—	43	1	no	—
677	#529	C₂×D₄₃	1	1	yes	characteristic, complemented
678	C₂×#121	—	86	1	no	—
679	C₂×#121	—	86	1	no	—
680	C₂×C₄×D₄	C₂×D₄₃	1	1	yes	characteristic
681	#495	—	43	2	no	—
682	#494	—	43	1	no	—
683	#492	—	43	1	no	—
684	#488	—	43	2	no	—
685	#487	—	43	1	no	—
686	#486	—	43	1	no	—
687	#485	—	43	2	no	—
688	#484	C₂×D₄₃	1	1	yes	characteristic, complemented
689	#483	—	43	2	no	—
690	#483	—	43	2	no	—
691	#482	—	43	2	no	—
692	#481	—	43	2	no	—
693	#481	C₂×D₄₃	1	1	yes	characteristic, complemented
694	#478	C₂×D₄₃	1	1	yes	characteristic, complemented
695	#478	C₂×D₄₃	1	1	yes	characteristic, complemented
696	#476	—	43	1	no	—
697	#476	—	43	1	no	—
698	#470	—	43	2	no	—
699	#470	—	43	2	no	—
700	#469	—	43	2	no	—
701	#468	—	43	2	no	—
702	#467	—	43	2	no	—
703	#465	—	43	2	no	—
704	#465	—	43	2	no	—
705	#465	—	43	2	no	—
706	#464	—	43	2	no	—
707	#464	—	43	2	no	—
708	#463	C₂×D₄₃	1	1	yes	characteristic, complemented
709	#463	C₂×D₄₃	1	1	yes	characteristic, complemented
710	#462	—	43	1	no	—
711	#461	—	43	1	no	—
712	#461	—	43	1	no	—
713	#461	—	43	1	no	—
714	#460	—	43	1	no	—
715	#459	—	43	1	no	—
716	#452	—	43	2	no	—
717	#452	—	43	2	no	—
718	#452	—	43	2	no	—
719	#452	—	43	2	no	—
720	#452	—	43	2	no	—
721	#452	—	43	2	no	—
722	#452	—	43	2	no	—
723	#451	—	43	2	no	—
724	#450	—	43	2	no	—
725	#450	—	43	2	no	—
726	#450	—	43	2	no	—
727	#450	—	43	2	no	—
728	#450	C₂×D₄₃	1	1	yes	characteristic
729	#449	—	43	2	no	—
730	#449	—	43	2	no	—
731	#449	—	43	2	no	—
732	#448	—	43	2	no	—
733	#447	—	43	2	no	—
734	#447	C₂×D₄₃	1	1	yes	characteristic
735	C₄×SD₁₆	—	43	2	no	—
736	C₄×SD₁₆	—	43	2	no	—
737	C₄×SD₁₆	C₂×D₄₃	1	1	yes	characteristic, complemented
738	C₄×SD₁₆	C₂×D₄₃	1	1	yes	characteristic, complemented
739	C₄×D₈	C₂×D₄₃	1	1	yes	characteristic, complemented
740	C₄×D₈	C₂×D₄₃	1	1	yes	characteristic, complemented
741	#436	—	43	2	no	—
742	#436	—	43	1	no	—
743	#436	—	43	1	no	—
744	C₈×D₄	—	43	2	no	—
745	C₈×D₄	—	43	1	no	—
746	C₈×D₄	—	43	1	no	—
747	#431	—	43	1	no	—
748	#431	C₂×D₄₃	1	1	yes	characteristic, complemented
749	#418	—	43	2	no	—
750	#417	—	43	2	no	—
751	#416	—	43	2	no	—
752	C₂×#102	—	43	2	no	—
753	#408	—	43	2	no	—
754	#408	—	43	2	no	—
755	C₄₃	#61658	1	1	yes	characteristic, complemented, Sylow
756	H(5,𝔽₂)	—	172	4	no	—
757	H(5,𝔽₂)	—	172	4	no	—
758	C₂×#41	—	43	2	no	—
759	C₂×#41	—	43	2	no	—
760	C₂×#41	—	43	2	no	—
761	C₂×#41	—	43	2	no	—
762	C₂×#41	—	43	2	no	—
763	C₂×#41	—	86	2	no	—
764	C₂²×Q₈	—	43	2	no	—
765	C₂²×D₄	—	43	2	no	—
766	C₂²×D₄	—	43	2	no	—
767	C₂²×D₄	—	86	1	no	—
768	C₂²×D₄	—	86	1	no	—
769	C₂²×D₄	—	86	2	no	—
770	C₂²×D₄	—	86	2	no	—
771	C₂²×D₄	—	86	2	no	—
772	C₂²×D₄	C₂²×D₄₃	1	1	yes	characteristic
773	C₂³×C₄	—	2	1	no	—
774	#137	—	172	4	no	—
775	AGL(1,ℤ/8)	—	172	4	no	—
776	#135	—	172	4	no	—
777	C₂×Q₁₆	—	43	2	no	—
778	C₂×Q₁₆	—	43	2	no	—
779	C₂×Q₁₆	—	43	2	no	—
780	C₂×SD₁₆	—	43	2	no	—
781	C₂×SD₁₆	—	43	2	no	—
782	C₂×SD₁₆	—	43	2	no	—
783	C₂×SD₁₆	—	43	2	no	—
784	C₂×SD₁₆	—	43	2	no	—
785	C₂×SD₁₆	—	43	2	no	—
786	C₂×SD₁₆	—	172	4	no	—
787	C₂×SD₁₆	C₂²×D₄₃	1	1	yes	characteristic
788	C₂×SD₁₆	C₂²×D₄₃	1	1	yes	characteristic
789	C₂×D₈	—	43	2	no	—
790	C₂×D₈	C₂²×D₄₃	1	1	yes	characteristic
791	C₂×D₈	C₂²×D₄₃	1	1	yes	characteristic
792	C₂×M₁₆	—	43	2	no	—
793	C₂×M₁₆	—	43	2	no	—
794	C₂²×C₈	—	43	2	no	—
795	C₂²×C₈	—	43	2	no	—
796	C₄⋊Q₈	—	43	1	no	—
797	C₄⋊Q₈	—	43	1	no	—
798	C₄⋊Q₈	—	43	1	no	—
799	C₄⋊Q₈	—	43	1	no	—
800	C₄⋊Q₈	—	86	1	no	—
801	C₄⋊Q₈	—	86	2	no	—
802	#127	—	43	1	no	—
803	#127	—	43	1	no	—
804	#126	—	2	1	no	—
805	#126	—	86	2	no	—
806	#125	—	86	1	no	—
807	#125	—	86	2	no	—
808	#125	—	86	1	no	—
809	#125	C₂²×D₄₃	1	1	yes	characteristic
810	#124	—	43	2	no	—
811	#124	—	43	2	no	—
812	#124	—	86	2	no	—
813	#124	—	86	2	no	—
814	#124	—	86	2	no	—
815	#124	C₂²×D₄₃	1	1	yes	characteristic
816	#123	—	2	1	no	—
817	#123	—	86	2	no	—
818	#123	—	86	2	no	—
819	#123	—	86	2	no	—
820	#123	—	86	2	no	—
821	#123	—	86	2	no	—
822	#123	—	86	2	no	—
823	#123	—	86	2	no	—
824	#123	—	86	2	no	—
825	C₂²⋊Q₈	—	43	2	no	—
826	C₂²⋊Q₈	—	43	2	no	—
827	C₂²⋊Q₈	—	43	2	no	—
828	C₂²⋊Q₈	—	43	2	no	—
829	C₂²⋊Q₈	—	43	2	no	—
830	C₂²⋊Q₈	—	43	2	no	—
831	C₂²⋊Q₈	—	86	2	no	—
832	C₂²⋊Q₈	—	86	2	no	—
833	C₂²⋊Q₈	—	86	2	no	—
834	C₂²⋊Q₈	—	86	2	no	—
835	C₂²⋊Q₈	—	86	2	no	—
836	C₂²⋊Q₈	—	86	1	no	—
837	C₂²⋊Q₈	C₂²×D₄₃	1	1	yes	characteristic
838	#121	—	43	1	no	—
839	#121	—	43	1	no	—
840	#121	—	43	2	no	—
841	#121	—	43	2	no	—
842	#121	—	43	2	no	—
843	#121	—	43	2	no	—
844	#121	—	86	2	no	—
845	#121	—	86	2	no	—
846	#121	—	86	2	no	—
847	#121	—	86	2	no	—
848	#121	—	86	2	no	—
849	#121	—	86	1	no	—
850	#121	—	86	1	no	—
851	#121	—	86	2	no	—
852	#121	—	86	2	no	—
853	#121	—	86	1	no	—
854	#121	—	86	1	no	—
855	#121	—	86	1	no	—
856	#121	—	86	1	no	—
857	#121	—	86	2	no	—
858	#121	—	86	2	no	—
859	#121	—	86	1	no	—
860	#121	—	86	1	no	—
861	#121	C₂²×D₄₃	1	1	yes	characteristic
862	#120	—	86	2	no	—
863	#120	—	86	2	no	—
864	#120	—	86	2	no	—
865	#120	—	86	2	no	—
866	C₄×Q₈	—	43	2	no	—
867	C₄×Q₈	—	86	1	no	—
868	C₄×Q₈	C₂²×D₄₃	1	1	yes	characteristic
869	C₄×D₄	—	2	1	no	—
870	C₄×D₄	—	2	1	no	—
871	C₄×D₄	—	2	1	no	—
872	C₄×D₄	—	43	1	no	—
873	C₄×D₄	—	43	1	no	—
874	C₄×D₄	—	43	2	no	—
875	C₄×D₄	—	86	1	no	—
876	C₄×D₄	—	86	1	no	—
877	C₄×D₄	—	86	2	no	—
878	C₄×D₄	—	86	1	no	—
879	C₄×D₄	—	86	1	no	—
880	C₄×D₄	C₂²×D₄₃	1	1	yes	characteristic
881	C₄×D₄	C₂²×D₄₃	1	1	yes	characteristic
882	C₄×D₄	C₂²×D₄₃	1	1	yes	characteristic
883	C₄×D₄	C₂²×D₄₃	1	1	yes	characteristic
884	C₄×D₄	C₂²×D₄₃	1	1	yes	characteristic
885	#117	—	2	1	no	—
886	#117	—	43	2	no	—
887	#117	—	86	2	no	—
888	#117	—	86	1	no	—
889	#117	—	86	1	no	—
890	C₂×C₄⋊C₄	—	43	2	no	—
891	C₂×C₄⋊C₄	—	86	1	no	—
892	C₂×C₄⋊C₄	—	86	1	no	—
893	C₂×C₄⋊C₄	—	86	1	no	—
894	C₂×C₄⋊C₄	C₂²×D₄₃	1	1	yes	characteristic
895	C₂×C₂²⋊C₄	—	2	1	no	—
896	C₂×C₂²⋊C₄	—	86	2	no	—
897	C₂×C₂²⋊C₄	—	86	2	no	—
898	C₂×C₄²	C₂²×D₄₃	1	1	yes	characteristic
899	#107	C₂²×D₄₃	1	1	yes	characteristic
900	#107	C₂²×D₄₃	1	1	yes	characteristic
901	#106	—	43	2	no	—
902	#106	—	43	2	no	—
903	#106	C₂²×D₄₃	1	1	yes	characteristic
904	#106	C₂²×D₄₃	1	1	yes	characteristic
905	C₄⋊C₈	—	43	1	no	—
906	C₄⋊C₈	—	43	1	no	—
907	C₄⋊C₈	C₂²×D₄₃	1	1	yes	characteristic
908	C₄⋊C₈	C₂²×D₄₃	1	1	yes	characteristic
909	#103	—	43	2	no	—
910	#103	—	43	2	no	—
911	#103	—	43	2	no	—
912	#103	—	43	2	no	—
913	#103	—	43	2	no	—
914	#103	—	43	2	no	—
915	#103	C₂²×D₄₃	1	1	yes	characteristic
916	#103	C₂²×D₄₃	1	1	yes	characteristic
917	#102	—	43	2	no	—
918	#102	—	43	2	no	—
919	#102	—	43	2	no	—
920	#102	—	43	2	no	—
921	#102	—	43	2	no	—
922	#102	—	43	2	no	—
923	#102	C₂²×D₄₃	1	1	yes	characteristic
924	#102	C₂²×D₄₃	1	1	yes	characteristic
925	#102	C₂²×D₄₃	1	1	yes	characteristic
926	#102	C₂²×D₄₃	1	1	yes	characteristic
927	#102	C₂²×D₄₃	1	1	yes	characteristic
928	#102	C₂²×D₄₃	1	1	yes	characteristic
929	C₂²⋊C₈	—	43	2	no	—
930	C₂²⋊C₈	—	43	2	no	—
931	C₂²⋊C₈	—	43	2	no	—
932	C₂²⋊C₈	—	43	2	no	—
933	C₂²⋊C₈	—	43	2	no	—
934	C₂²⋊C₈	C₂²×D₄₃	1	1	yes	characteristic
935	C₂²⋊C₈	C₂²×D₄₃	1	1	yes	characteristic
936	C₄×C₈	—	43	2	no	—
937	C₄×C₈	C₂²×D₄₃	1	1	yes	characteristic
938	C₄×C₈	C₂²×D₄₃	1	1	yes	characteristic
939	C₂⁴	—	2	1	no	—
940	C₂⁴	—	86	2	no	—
941	C₂⁴	—	86	2	no	—
942	#41	—	86	4	no	—
943	#41	—	86	4	no	—
944	#41	—	172	2	no	—
945	#41	—	172	2	no	—
946	#41	—	172	2	no	—
947	#41	—	172	2	no	—
948	#41	—	172	2	no	—
949	#41	—	172	2	no	—
950	#41	—	172	2	no	—
951	#41	—	172	2	no	—
952	#41	—	172	8	no	—
953	C₂×Q₈	—	43	2	no	—
954	C₂×Q₈	—	43	2	no	—
955	C₂×Q₈	—	43	2	no	—
956	C₂×Q₈	—	86	2	no	—
957	C₂×Q₈	—	86	1	no	—
958	C₂×Q₈	—	172	2	no	—
959	C₂×Q₈	—	172	2	no	—
960	C₂×Q₈	C₂³×D₄₃	1	1	yes	characteristic
961	C₂×D₄	—	2	2	no	—
962	C₂×D₄	—	2	2	no	—
963	C₂×D₄	—	2	1	no	—
964	C₂×D₄	—	2	1	no	—
965	C₂×D₄	—	43	2	no	—
966	C₂×D₄	—	43	2	no	—
967	C₂×D₄	—	43	1	no	—
968	C₂×D₄	—	43	1	no	—
969	C₂×D₄	—	43	2	no	—
970	C₂×D₄	—	43	2	no	—
971	C₂×D₄	—	43	2	no	—
972	C₂×D₄	—	86	2	no	—
973	C₂×D₄	—	86	2	no	—
974	C₂×D₄	—	86	2	no	—
975	C₂×D₄	—	86	2	no	—
976	C₂×D₄	—	86	4	no	—
977	C₂×D₄	—	86	4	no	—
978	C₂×D₄	—	86	2	no	—
979	C₂×D₄	—	86	2	no	—
980	C₂×D₄	—	86	2	no	—
981	C₂×D₄	—	86	2	no	—
982	C₂×D₄	—	86	2	no	—
983	C₂×D₄	—	86	1	no	—
984	C₂×D₄	—	86	1	no	—
985	C₂×D₄	—	344	2	no	—
986	C₂×D₄	—	344	2	no	—
987	C₂×D₄	—	172	2	no	—
988	C₂×D₄	—	172	2	no	—
989	C₂×D₄	—	172	8	no	—
990	C₂×D₄	—	172	8	no	—
991	C₂×D₄	—	172	8	no	—
992	C₂×D₄	C₂³×D₄₃	1	1	yes	characteristic
993	C₂×D₄	C₂³×D₄₃	1	1	yes	characteristic
994	C₂×D₄	C₂³×D₄₃	1	1	yes	characteristic
995	C₂²×C₄	—	2	1	no	—
996	C₂²×C₄	—	2	1	no	—
997	C₂²×C₄	—	2	1	no	—
998	C₂²×C₄	—	2	1	no	—
999	C₂²×C₄	—	2	1	no	—
1000	C₂²×C₄	—	2	1	no	—
1001	C₂²×C₄	—	8	2	no	—
1002	C₂²×C₄	—	43	2	no	—
1003	C₂²×C₄	—	43	2	no	—
1004	C₂²×C₄	—	86	2	no	—
1005	C₂²×C₄	—	86	2	no	—
1006	C₂²×C₄	—	86	2	no	—
1007	C₂²×C₄	—	86	2	no	—
1008	C₂²×C₄	—	86	2	no	—
1009	C₂²×C₄	—	86	2	no	—
1010	C₂²×C₄	D₄×D₄₃	1	1	yes	characteristic
1011	C₂²×C₄	D₄×D₄₃	1	1	yes	characteristic
1012	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
1013	Q₁₆	—	172	2	no	—
1014	Q₁₆	—	172	2	no	—
1015	Q₁₆	—	172	2	no	—
1016	SD₁₆	—	2	2	no	—
1017	SD₁₆	—	2	2	no	—
1018	SD₁₆	—	86	4	no	—
1019	SD₁₆	—	86	4	no	—
1020	SD₁₆	—	172	2	no	—
1021	SD₁₆	—	172	2	no	—
1022	SD₁₆	—	172	2	no	—
1023	SD₁₆	—	172	2	no	—
1024	D₈	—	2	2	no	—
1025	D₈	—	2	2	no	—
1026	D₈	—	172	2	no	—
1027	M₁₆	—	172	2	no	—
1028	M₁₆	—	172	2	no	—
1029	C₂×C₈	—	43	2	no	—
1030	C₂×C₈	—	43	2	no	—
1031	C₂×C₈	—	172	2	no	—
1032	C₂×C₈	—	172	2	no	—
1033	C₂×C₈	C₂³×D₄₃	1	1	yes	characteristic
1034	C₂×C₈	C₂³×D₄₃	1	1	yes	characteristic
1035	C₂×C₈	C₂³×D₄₃	1	1	yes	characteristic
1036	C₂×C₈	C₂³×D₄₃	1	1	yes	characteristic
1037	C₄⋊C₄	—	2	1	no	—
1038	C₄⋊C₄	—	2	1	no	—
1039	C₄⋊C₄	—	2	1	no	—
1040	C₄⋊C₄	—	2	1	no	—
1041	C₄⋊C₄	—	2	1	no	—
1042	C₄⋊C₄	—	43	1	no	—
1043	C₄⋊C₄	—	43	1	no	—
1044	C₄⋊C₄	—	43	2	no	—
1045	C₄⋊C₄	—	43	2	no	—
1046	C₄⋊C₄	—	86	2	no	—
1047	C₄⋊C₄	—	86	2	no	—
1048	C₄⋊C₄	—	86	2	no	—
1049	C₄⋊C₄	—	86	2	no	—
1050	C₄⋊C₄	—	86	2	no	—
1051	C₄⋊C₄	—	86	2	no	—
1052	C₄⋊C₄	—	86	1	no	—
1053	C₄⋊C₄	—	86	1	no	—
1054	C₄⋊C₄	—	86	1	no	—
1055	C₄⋊C₄	—	86	1	no	—
1056	C₄⋊C₄	—	86	2	no	—
1057	C₄⋊C₄	—	86	2	no	—
1058	C₄⋊C₄	—	86	1	no	—
1059	C₄⋊C₄	C₂³×D₄₃	1	1	yes	characteristic
1060	C₄⋊C₄	C₂³×D₄₃	1	1	yes	characteristic
1061	C₄⋊C₄	C₂³×D₄₃	1	1	yes	characteristic
1062	C₄⋊C₄	C₂³×D₄₃	1	1	yes	characteristic
1063	C₂²⋊C₄	—	2	1	no	—
1064	C₂²⋊C₄	—	2	1	no	—
1065	C₂²⋊C₄	—	2	1	no	—
1066	C₂²⋊C₄	—	2	1	no	—
1067	C₂²⋊C₄	—	2	1	no	—
1068	C₂²⋊C₄	—	2	1	no	—
1069	C₂²⋊C₄	—	2	1	no	—
1070	C₂²⋊C₄	—	2	1	no	—
1071	C₂²⋊C₄	—	2	1	no	—
1072	C₂²⋊C₄	—	43	2	no	—
1073	C₂²⋊C₄	—	43	2	no	—
1074	C₂²⋊C₄	—	43	2	no	—
1075	C₂²⋊C₄	—	43	2	no	—
1076	C₂²⋊C₄	—	86	2	no	—
1077	C₂²⋊C₄	—	86	2	no	—
1078	C₂²⋊C₄	—	86	2	no	—
1079	C₂²⋊C₄	—	86	2	no	—
1080	C₂²⋊C₄	—	86	2	no	—
1081	C₂²⋊C₄	—	86	2	no	—
1082	C₂²⋊C₄	—	86	2	no	—
1083	C₂²⋊C₄	—	86	2	no	—
1084	C₂²⋊C₄	—	86	2	no	—
1085	C₂²⋊C₄	—	86	2	no	—
1086	C₂²⋊C₄	—	86	2	no	—
1087	C₂²⋊C₄	—	86	2	no	—
1088	C₄²	—	2	1	no	—
1089	C₄²	—	86	2	no	—
1090	C₄²	—	86	2	no	—
1091	C₄²	D₄×D₄₃	1	1	yes	characteristic
1092	C₄²	D₄×D₄₃	1	1	yes	characteristic
1093	C₄²	C₂³×D₄₃	1	1	yes	characteristic
1094	C₄²	C₂³×D₄₃	1	1	yes	characteristic
1095	C₂³	—	2	4	no	—
1096	C₂³	—	2	1	no	—
1097	C₂³	—	2	1	no	—
1098	C₂³	—	2	1	no	—
1099	C₂³	—	8	1	no	—
1100	C₂³	—	8	1	no	—
1101	C₂³	—	43	2	no	—
1102	C₂³	—	43	2	no	—
1103	C₂³	—	86	2	no	—
1104	C₂³	—	344	2	no	—
1105	C₂³	—	344	2	no	—
1106	C₂³	—	344	2	no	—
1107	C₂³	—	344	2	no	—
1108	C₂³	—	172	4	no	—
1109	C₂³	—	172	4	no	—
1110	C₂³	C₂×D₄×D₄₃	1	1	yes	characteristic
1111	Q₈	—	2	1	no	—
1112	Q₈	—	2	1	no	—
1113	Q₈	—	86	2	no	—
1114	Q₈	—	86	2	no	—
1115	Q₈	—	86	2	no	—
1116	Q₈	—	86	2	no	—
1117	Q₈	—	344	1	no	—
1118	Q₈	—	344	2	no	—
1119	Q₈	—	172	2	no	—
1120	D₄	—	2	4	no	—
1121	D₄	—	2	1	no	—
1122	D₄	—	2	1	no	—
1123	D₄	—	2	1	no	—
1124	D₄	—	2	1	no	—
1125	D₄	—	8	1	no	—
1126	D₄	—	86	2	no	—
1127	D₄	—	86	2	no	—
1128	D₄	—	86	2	no	—
1129	D₄	—	86	2	no	—
1130	D₄	—	344	1	no	—
1131	D₄	—	344	2	no	—
1132	D₄	—	344	2	no	—
1133	D₄	—	344	2	no	—
1134	D₄	—	344	2	no	—
1135	D₄	—	172	2	no	—
1136	D₄	—	172	2	no	—
1137	D₄	—	172	2	no	—
1138	D₄	—	172	2	no	—
1139	D₄	—	172	4	no	—
1140	D₄	—	172	4	no	—
1141	D₄	—	172	4	no	—
1142	D₄	—	172	4	no	—
1143	D₄	—	172	4	no	—
1144	D₄	—	172	2	no	—
1145	D₄	#13063371	1	2	yes	—
1146	D₄	#13063371	1	2	yes	—
1147	C₂×C₄	—	2	2	no	—
1148	C₂×C₄	—	2	1	no	—
1149	C₂×C₄	—	2	1	no	—
1150	C₂×C₄	—	2	1	no	—
1151	C₂×C₄	—	2	1	no	—
1152	C₂×C₄	—	2	1	no	—
1153	C₂×C₄	—	2	1	no	—
1154	C₂×C₄	—	2	1	no	—
1155	C₂×C₄	—	4	1	no	—
1156	C₂×C₄	—	4	2	no	—
1157	C₂×C₄	—	4	2	no	—
1158	C₂×C₄	—	4	2	no	—
1159	C₂×C₄	—	8	1	no	—
1160	C₂×C₄	—	8	1	no	—
1161	C₂×C₄	—	8	1	no	—
1162	C₂×C₄	—	43	2	no	—
1163	C₂×C₄	—	43	2	no	—
1164	C₂×C₄	—	86	2	no	—
1165	C₂×C₄	—	86	2	no	—
1166	C₂×C₄	—	86	2	no	—
1167	C₂×C₄	—	86	2	no	—
1168	C₂×C₄	—	86	2	no	—
1169	C₂×C₄	—	86	2	no	—
1170	C₂×C₄	—	86	2	no	—
1171	C₂×C₄	—	344	2	no	—
1172	C₂×C₄	—	344	2	no	—
1173	C₂×C₄	—	344	2	no	—
1174	C₂×C₄	—	172	4	no	—
1175	C₂×C₄	—	172	4	no	—
1176	C₂×C₄	—	172	4	no	—
1177	C₂×C₄	C₂×D₄×D₄₃	1	1	yes	characteristic
1178	C₂×C₄	C₂×D₄×D₄₃	1	1	yes	characteristic
1179	C₂×C₄	C₂×D₄×D₄₃	1	1	yes	characteristic
1180	C₂×C₄	C₂×D₄×D₄₃	1	1	yes	characteristic
1181	C₂×C₄	C₂×D₄×D₄₃	1	1	yes	characteristic
1182	C₂×C₄	C₂⁴×D₄₃	1	1	yes	characteristic
1183	C₈	—	2	1	no	—
1184	C₈	—	2	1	no	—
1185	C₈	—	2	1	no	—
1186	C₈	—	2	1	no	—
1187	C₈	—	86	2	no	—
1188	C₈	—	86	2	no	—
1189	C₂²	—	2	1	no	—
1190	C₂²	—	2	1	no	—
1191	C₂²	—	2	1	no	—
1192	C₂²	—	2	2	no	—
1193	C₂²	—	2	2	no	—
1194	C₂²	—	4	1	no	—
1195	C₂²	—	4	1	no	—
1196	C₂²	—	4	1	no	—
1197	C₂²	—	4	1	no	—
1198	C₂²	—	4	1	no	—
1199	C₂²	—	4	1	no	—
1200	C₂²	—	4	1	no	—
1201	C₂²	—	8	4	no	—
1202	C₂²	—	86	2	no	—
1203	C₂²	—	86	2	no	—
1204	C₂²	—	86	2	no	—
1205	C₂²	—	86	2	no	—
1206	C₂²	—	86	2	no	—
1207	C₂²	—	86	2	no	—
1208	C₂²	—	172	2	no	—
1209	C₂²	—	172	2	no	—
1210	C₂²	—	172	2	no	—
1211	C₂²	—	688	4	no	—
1212	C₂²	—	688	4	no	—
1213	C₂²	C₂²×D₄×D₄₃	1	1	yes	characteristic
1214	C₄	—	2	1	no	—
1215	C₄	—	2	1	no	—
1216	C₄	—	2	1	no	—
1217	C₄	—	2	1	no	—
1218	C₄	—	4	1	no	—
1219	C₄	—	4	1	no	—
1220	C₄	—	4	1	no	—
1221	C₄	—	4	1	no	—
1222	C₄	—	4	1	no	—
1223	C₄	—	86	2	no	—
1224	C₄	—	86	2	no	—
1225	C₄	—	172	2	no	—
1226	C₄	—	172	2	no	—
1227	C₄	—	172	2	no	—
1228	C₄	#14583709	1	2	yes	—
1229	C₄	C₂×#13063371	1	1	yes	characteristic
1230	C₄	C₂×#13063371	1	1	yes	characteristic
1231	C₂	—	4	1	no	—
1232	C₂	—	4	2	no	—
1233	C₂	—	4	2	no	—
1234	C₂	—	8	1	no	—
1235	C₂	—	344	2	no	—
1236	C₂	—	172	2	no	—
1237	C₂	—	172	2	no	—
1238	C₂	#19148228	1	1	yes	characteristic
1239	C₂	C₂×#14583709	1	1	yes	characteristic
1240	C₂	#19149364	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×#3105	C₂
socle	C₂²×C₄₃	C₂³×D₄
hypercenter	#3105	D₄₃
hypocenter	C₄₃	#61658
LCS	G ▷ C₂×C₄×C₄₃ ▷ C₂×C₄₃ ▷ C₄₃
UCS	C₁ ◁ C₂² ◁ C₂×C₄² ◁ #3105

Complements

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

N	H ≅ G/N	type
1. #19148986	C₂	semidirect
2. #19148359	C₂	semidirect
3. #19146913	C₂	semidirect
4. #19146839	C₂	semidirect
5. #19146808	C₂	semidirect
6. #19146525	C₂	semidirect
7. #19146427	C₂	semidirect
8. #19146421	C₂	semidirect
9. #19146316	C₂	semidirect
10. #19146308	C₂	semidirect
11. SD₁₆×D₁₇₂	C₂	semidirect
12. #19146242	C₂	semidirect
13. #19146232	C₂	semidirect
14. #19146196	C₂	semidirect
15. #19145567	C₂	semidirect
16. #19145553	C₂	semidirect
17. #19145508	C₂	semidirect
18. #19145482	C₂	semidirect
19. #19144603	C₂	semidirect
20. #19143894	C₂	semidirect
21. #19143867	C₂	semidirect
22. #19143661	C₂	semidirect
23. C₄₃×#3105	C₂	semidirect
25. C₂×#13063354	C₂²	semidirect
26. C₂×#13063349	C₂²	semidirect
27. C₂×#13063344	C₂²	semidirect
28. C₂×SD₁₆×D₄₃	C₂²	semidirect
31. #14583614	C₂²	semidirect
32. #14583609	C₂²	semidirect
34. #14583587	C₂²	semidirect
35. Q₈×D₁₇₂	C₂²	semidirect
36. #14583557	C₂²	semidirect
40. #14583553	C₂²	semidirect
51. #14583478	C₂²	semidirect
52. #14583472	C₂²	semidirect
54. #14583456	C₂²	semidirect
59. #14583281	C₂²	semidirect
60. #14583279	C₂²	semidirect
61. #14583272	C₂²	semidirect
62. #14583256	C₂²	semidirect
63. #14583250	C₂²	semidirect
64. #14583246	C₂²	semidirect
65. #14583242	C₂²	semidirect
66. #14583231	C₂²	semidirect
67. #14583229	C₂²	semidirect
68. #14583226	C₂²	semidirect
69. #14583219	C₂²	semidirect
70. #14583189	C₂²	semidirect
71. #14583189	C₂²	semidirect
72. #14583158	C₂²	semidirect
73. #14583156	C₂²	semidirect
74. #14583151	C₂²	semidirect
75. #14583146	C₂²	semidirect
76. #14583141	C₂²	semidirect
77. #14583131	C₂²	semidirect
78. #14583129	C₂²	semidirect
79. #14583127	C₂²	semidirect
80. #14583122	C₂²	semidirect
81. #14583122	C₂²	semidirect
82. #14583109	C₂²	semidirect
83. #14583104	C₂²	semidirect
84. #14583104	C₂²	semidirect
85. #14583104	C₂²	semidirect
86. #14583099	C₂²	semidirect
87. #14583094	C₂²	semidirect
88. #14583063	C₂²	semidirect
89. #14583063	C₂²	semidirect
90. #14583062	C₂²	semidirect
91. #14583062	C₂²	semidirect
92. #14583062	C₂²	semidirect
93. #14583059	C₂²	semidirect
94. #14583058	C₂²	semidirect
95. #14583056	C₂²	semidirect
96. #14583051	C₂²	semidirect
97. #14583051	C₂²	semidirect
99. #14583048	C₂²	semidirect
100. #14583045	C₂²	semidirect
101. #14583042	C₂²	semidirect
102. #14583041	C₂²	semidirect
103. #14583039	C₂²	semidirect
104. #14583031	C₂²	semidirect
105. C₄×#10621883	C₂²	semidirect
106. C₄×#10621883	C₂²	semidirect
107. #14582978	C₂²	semidirect
108. #14582978	C₂²	semidirect
109. #14582976	C₂²	semidirect
110. C₈×D₁₇₂	C₂²	semidirect
111. C₈×D₁₇₂	C₂²	semidirect
112. #14582964	C₂²	semidirect
113. #14582952	C₂²	semidirect
114. #14582902	C₂²	semidirect
115. #14582897	C₂²	semidirect
116. #14582892	C₂²	semidirect
117. #102×D₄₃	C₂²	semidirect
118. #14582864	C₂²	semidirect
119. #14582864	C₂²	semidirect
120. C₄₃×#529	C₂²	semidirect
122. C₄₃×#484	C₂²	semidirect
123. C₄₃×#481	C₂²	semidirect
124. C₄₃×#478	C₂²	semidirect
125. C₄₃×#478	C₂²	semidirect
126. C₄₃×#463	C₂²	semidirect
127. C₄₃×#463	C₂²	semidirect
130. C₄×SD₁₆×C₄₃	C₂²	semidirect
131. C₄×SD₁₆×C₄₃	C₂²	semidirect
132. C₄×D₈×C₄₃	C₂²	semidirect
133. C₄×D₈×C₄₃	C₂²	semidirect
134. C₄₃×#431	C₂²	semidirect
629. #3105	D₄₃	semidirect
677. #529	C₂×D₄₃	semidirect
688. #484	C₂×D₄₃	semidirect
693. #481	C₂×D₄₃	semidirect
694. #478	C₂×D₄₃	semidirect
695. #478	C₂×D₄₃	semidirect
708. #463	C₂×D₄₃	semidirect
709. #463	C₂×D₄₃	semidirect
737. C₄×SD₁₆	C₂×D₄₃	semidirect
738. C₄×SD₁₆	C₂×D₄₃	semidirect
739. C₄×D₈	C₂×D₄₃	semidirect
740. C₄×D₈	C₂×D₄₃	semidirect
748. #431	C₂×D₄₃	semidirect
755. C₄₃	#61658	semidirect

Maximal subgroups

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

subgroup	index
#19148986	2
#19148359	2
#19146913	2
#19146839	2
#19146808	2
#19146525	2
#19146427	2
#19146421	2
#19146316	2
#19146308	2
SD₁₆×D₁₇₂	2
#19146242	2
#19146232	2
#19146196	2
#19145567	2
#19145553	2
#19145508	2
#19145482	2
#19144603	2
#19143894	2
#19143867	2
#19143661	2
C₄₃×#3105	2
#61658	43