Subgroups — #25974589

Order 11008.

2116 conjugacy classes of subgroups.

The subgroup lattice has 1258 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#19148517	C₂	1	1	yes	maximal, characteristic, complemented
2	#19148357	C₂	1	1	yes	maximal, characteristic, complemented
3	#19146818	C₂	1	2	yes	maximal, complemented
4	#19146803	C₂	1	2	yes	maximal, complemented
5	#19146743	C₂	1	2	yes	maximal, complemented
6	#19146698	C₂	1	2	yes	maximal, complemented
7	#19146623	C₂	1	2	yes	maximal, complemented
8	#19146578	C₂	1	2	yes	maximal, complemented
9	#19146452	C₂	1	2	yes	maximal, complemented
10	#19146437	C₂	1	2	yes	maximal, complemented
11	#19144995	C₂	1	1	yes	maximal, characteristic, complemented
12	#19144582	C₂	1	1	yes	maximal, characteristic, complemented
13	#19144571	C₂	1	1	yes	maximal, characteristic, complemented
14	C₂×#14583200	C₂	1	1	yes	maximal, characteristic, complemented
15	#19144261	C₂	1	1	yes	maximal, characteristic, complemented
16	#19144253	C₂	1	1	yes	maximal, characteristic, complemented
17	#19143895	C₂	1	1	yes	maximal, characteristic, complemented
18	#19143895	C₂	1	1	yes	maximal, characteristic, complemented
19	C₄×#13063350	C₂	1	1	yes	maximal, characteristic, complemented
20	#19143338	C₂	1	1	yes	maximal, characteristic, complemented
21	#19143117	C₂	1	1	yes	maximal, characteristic, complemented
22	#19143117	C₂	1	1	yes	maximal, characteristic, complemented
23	C₄₃×#3035	C₂	1	1	yes	maximal, characteristic, complemented
24	C₂×#13063371	C₂²	1	1	yes	characteristic
25	C₂×#13063371	C₂²	1	1	yes	characteristic
26	C₂×#13063350	C₂²	1	1	yes	characteristic
27	C₂×#13063331	C₂²	1	1	yes	characteristic, complemented
28	C₂×#13063331	C₂²	1	1	yes	characteristic, complemented
29	#14583599	C₂²	1	2	yes	complemented
30	#14583599	C₂²	1	2	yes	complemented
31	#14583598	—	2	2	no	—
32	#14583598	—	2	2	no	—
33	#14583590	C₂²	1	2	yes	complemented
34	#14583590	C₂²	1	2	yes	complemented
35	#14583554	—	2	1	no	—
36	#14583552	C₂²	1	2	yes	—
37	#14583545	—	2	1	no	—
38	#14583545	—	2	1	no	—
39	#14583542	C₂²	1	2	yes	—
40	#14583542	C₂²	1	2	yes	—
41	D₄×D₁₇₂	—	2	1	no	—
42	#14583534	C₂²	1	2	yes	—
43	#14583511	—	2	1	no	—
44	#14583504	—	2	1	no	—
45	#14583477	C₂²	1	1	yes	characteristic
46	#14583477	C₂²	1	1	yes	characteristic
47	#14583477	C₂²	1	1	yes	characteristic, complemented
48	#14583477	C₂²	1	1	yes	characteristic, complemented
49	#14583457	—	2	2	no	—
50	#14583449	C₂²	1	1	yes	characteristic
51	#14583433	—	2	1	no	—
52	#14583433	—	2	1	no	—
53	C₂×#13063317	C₂²	1	1	yes	characteristic, complemented
54	#121×D₄₃	—	2	2	no	—
55	#14583379	C₂²	1	1	yes	characteristic, complemented
56	#14583379	C₂²	1	1	yes	characteristic, complemented
57	C₂×C₄×D₁₇₂	C₂²	1	1	yes	characteristic
58	#14583267	C₂²	1	2	yes	complemented
59	#14583263	C₂²	1	2	yes	complemented
60	#14583253	C₂²	1	2	yes	complemented
61	#14583253	C₂²	1	2	yes	complemented
62	#14583239	C₂²	1	2	yes	complemented
63	#14583238	C₂²	1	2	yes	complemented
64	#14583233	C₂²	1	2	yes	complemented
65	#14583228	C₂²	1	2	yes	complemented
66	#14583222	C₂²	1	2	yes	complemented
67	#14583221	C₂²	1	2	yes	complemented
68	#14583216	C₂²	1	2	yes	complemented
69	#14583211	C₂²	1	2	yes	complemented
70	#14583200	C₂²	1	2	yes	complemented
71	#14583200	C₂²	1	2	yes	complemented
72	#14583200	C₂²	1	2	yes	complemented
73	#14583200	C₂²	1	2	yes	complemented
74	#14583154	C₂²	1	2	yes	complemented
75	#14583149	C₂²	1	2	yes	complemented
76	#14583142	C₂²	1	2	yes	complemented
77	#14583142	C₂²	1	2	yes	complemented
78	#14583137	C₂²	1	2	yes	complemented
79	#14583132	C₂²	1	2	yes	complemented
80	#14583125	C₂²	1	2	yes	complemented
81	#14583125	C₂²	1	2	yes	complemented
82	#14583060	C₂²	1	2	yes	complemented
83	#14583060	C₂²	1	2	yes	complemented
84	#14583048	C₂²	1	2	yes	complemented
85	#14583048	C₂²	1	2	yes	complemented
86	#14583043	C₂²	1	2	yes	complemented
87	#14583043	C₂²	1	2	yes	complemented
88	#14583031	C₂²	1	2	yes	complemented
89	#14583031	C₂²	1	2	yes	complemented
90	#14583009	C₂²	1	2	yes	complemented
91	#14582997	C₂²	1	2	yes	complemented
92	C₄×#10621884	C₂²	1	2	yes	complemented
93	C₄×#10621882	C₂²	1	2	yes	complemented
94	#14582976	C₂²	1	2	yes	complemented
95	#14582969	C₂²	1	2	yes	complemented
96	#14582969	C₂²	1	2	yes	complemented
97	#14582964	C₂²	1	2	yes	complemented
98	#14582942	C₂²	1	1	yes	characteristic, complemented
99	C₂×#13063259	C₂²	1	1	yes	characteristic, complemented
100	C₂×#13063257	C₂²	1	1	yes	characteristic, complemented
101	#14582903	C₂²	1	1	yes	characteristic
102	#14582902	C₂²	1	2	yes	complemented
103	#14582902	C₂²	1	2	yes	complemented
104	#14582900	C₂²	1	1	yes	characteristic, complemented
105	#14582900	C₂²	1	1	yes	characteristic, complemented
106	#14582900	C₂²	1	1	yes	characteristic, complemented
107	#14582900	C₂²	1	1	yes	characteristic, complemented
108	#14582900	C₂²	1	1	yes	characteristic, complemented
109	#14582899	C₂²	1	2	yes	complemented
110	#14582899	C₂²	1	2	yes	complemented
111	#14582894	C₂²	1	2	yes	complemented
112	#14582894	C₂²	1	2	yes	complemented
113	C₂×#13063247	C₂²	1	1	yes	characteristic
114	C₂×#13063247	C₂²	1	1	yes	characteristic
115	#102×D₄₃	C₂²	1	2	yes	complemented
116	#102×D₄₃	C₂²	1	2	yes	complemented
117	#14582865	C₂²	1	1	yes	characteristic, complemented
118	#14582865	C₂²	1	1	yes	characteristic, complemented
119	C₄×#10621877	C₂²	1	1	yes	characteristic, complemented
120	C₂×#135×C₄₃	C₂²	1	1	yes	characteristic, complemented
121	C₂×#135×C₄₃	C₂²	1	1	yes	characteristic, complemented
122	C₄₃×#532	C₂²	1	1	yes	characteristic
123	C₄×#41×C₄₃	C₂²	1	1	yes	characteristic, complemented
124	C₄₃×#464	C₂²	1	1	yes	characteristic, complemented
125	C₄₃×#464	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×#462	C₂²	1	1	yes	characteristic, complemented
129	C₄₃×#461	C₂²	1	1	yes	characteristic, complemented
130	C₄₃×#460	C₂²	1	1	yes	characteristic, complemented
131	C₄₃×#459	C₂²	1	1	yes	characteristic, complemented
132	C₂×C₄⋊C₈×C₄₃	C₂²	1	1	yes	characteristic, complemented
133	C₄₃×#416	C₂²	1	1	yes	characteristic, complemented
134	C₄₃×#416	C₂²	1	1	yes	characteristic, complemented
135	#13063371	—	2	4	no	—
136	#13063371	—	2	4	no	—
137	#13063371	—	4	2	no	—
138	#13063371	—	4	2	no	—
139	C₂×#10621902	C₂³	1	2	yes	—
140	C₂×#10621902	C₂³	1	2	yes	—
141	C₂×#10621898	—	2	1	no	—
142	C₂×#10621898	—	2	1	no	—
143	C₂×#10621898	C₂³	1	1	yes	characteristic
144	C₂×#10621898	C₂³	1	1	yes	characteristic
145	C₂²×D₁₇₂	—	2	1	no	—
146	C₂²×D₁₇₂	—	2	1	no	—
147	C₂²×D₁₇₂	C₂³	1	1	yes	characteristic
148	C₂×D₄×D₄₃	—	2	2	no	—
149	C₂×D₄×D₄₃	—	2	2	no	—
150	C₂×D₄×D₄₃	—	2	2	no	—
151	C₂×D₄×D₄₃	C₂³	1	2	yes	—
152	C₂×D₄×D₄₃	C₂³	1	2	yes	—
153	C₂²×C₄×D₄₃	—	2	1	no	—
154	#13063350	—	2	4	no	—
155	C₂×#10621884	C₂³	1	2	yes	—
156	C₂×#10621882	C₂³	1	2	yes	—
157	#13063331	—	4	2	no	—
158	#13063331	—	4	2	no	—
159	C₂×#10621877	C₂³	1	1	yes	characteristic
160	C₂×#10621877	C₂³	1	1	yes	characteristic
161	C₂×#10621872	C₂³	1	2	yes	—
162	C₂×#10621872	C₂³	1	2	yes	—
163	C₂×C₈×D₄₃	C₂³	1	2	yes	—
164	C₂×C₈×D₄₃	C₂³	1	2	yes	—
165	#13063325	D₄	1	1	yes	characteristic
166	#13063322	D₄	1	1	yes	characteristic
167	#13063319	—	2	2	no	—
168	#13063319	—	2	2	no	—
169	#13063318	—	2	2	no	—
170	#13063318	—	2	2	no	—
171	#13063317	—	2	1	no	—
172	#13063317	—	2	1	no	—
173	#13063317	C₂³	1	2	yes	—
174	#13063317	C₂³	1	2	yes	—
175	#13063315	—	2	2	no	—
176	#13063315	—	2	2	no	—
177	#13063313	D₄	1	1	yes	characteristic
178	#13063313	D₄	1	1	yes	characteristic
179	#13063310	—	2	2	no	—
180	#13063310	—	2	2	no	—
181	#13063310	—	2	2	no	—
182	#13063310	—	2	2	no	—
183	#13063308	—	2	2	no	—
184	#13063308	—	2	2	no	—
185	#13063307	—	2	2	no	—
186	#13063307	—	2	2	no	—
187	#13063304	—	2	1	no	—
188	#13063304	—	2	1	no	—
189	#13063304	—	2	1	no	—
190	#13063304	—	2	1	no	—
191	#13063301	C₂³	1	2	yes	—
192	#13063301	C₂³	1	2	yes	—
193	#13063301	C₂³	1	2	yes	—
194	#13063301	C₂³	1	2	yes	—
195	#13063300	—	2	2	no	—
196	#13063299	—	2	1	no	—
197	#13063299	—	2	1	no	—
198	#13063299	—	2	1	no	—
199	#13063299	—	2	1	no	—
200	#13063299	D₄	1	2	yes	—
201	#13063299	D₄	1	2	yes	—
202	#13063298	—	2	2	no	—
203	#13063298	—	2	2	no	—
204	#13063298	—	2	2	no	—
205	#13063298	—	2	2	no	—
206	#13063297	—	2	2	no	—
207	#13063297	—	2	2	no	—
208	#13063297	—	2	2	no	—
209	#13063297	—	2	2	no	—
210	#13063296	—	2	2	no	—
211	#13063296	C₂³	1	2	yes	—
212	#13063296	C₂³	1	2	yes	—
213	#13063296	C₂³	1	2	yes	—
214	#13063296	C₂³	1	2	yes	—
215	#13063295	—	2	2	no	—
216	#13063295	—	2	2	no	—
217	#13063293	—	2	2	no	—
218	#13063293	—	2	2	no	—
219	C₄×Dic₈₆	—	2	1	no	—
220	C₄×Dic₈₆	—	2	1	no	—
221	C₄×D₁₇₂	—	2	1	no	—
222	C₄×D₁₇₂	—	2	1	no	—
223	C₄×D₁₇₂	—	2	1	no	—
224	C₄×D₁₇₂	—	2	1	no	—
225	C₄×D₁₇₂	C₂³	1	2	yes	—
226	C₄×D₁₇₂	C₂³	1	2	yes	—
227	C₄×D₁₇₂	C₂³	1	2	yes	—
228	C₄×D₁₇₂	C₂³	1	2	yes	—
229	C₄×C₂²⋊D₄₃	—	2	2	no	—
230	C₄×C₂²⋊D₄₃	—	2	2	no	—
231	(C₂²⋊D₄₃)⋊C₄	—	2	2	no	—
232	(C₂²⋊D₄₃)⋊C₄	—	2	2	no	—
233	#13063283	C₂³	1	2	yes	—
234	#13063283	C₂³	1	2	yes	—
235	#13063282	—	2	2	no	—
236	#13063282	—	2	2	no	—
237	C₂×C₄⋊Dic₄₃	C₂³	1	1	yes	characteristic
238	C₂×C₄⋊Dic₄₃	C₂³	1	1	yes	characteristic
239	C₂×C₄⋊Dic₄₃	C₂³	1	1	yes	characteristic
240	C₂×Dic₄₃⋊C₄	—	2	1	no	—
241	C₂×Dic₄₃⋊C₄	—	2	1	no	—
242	C₄⋊C₄×D₄₃	—	2	2	no	—
243	C₄⋊C₄×D₄₃	C₂³	1	2	yes	—
244	C₄⋊C₄×D₄₃	C₂³	1	2	yes	—
245	C₂×(C₂×D₄₃)⋊C₄	—	2	1	no	—
246	C₂²⋊C₄×D₄₃	—	2	2	no	—
247	C₂²⋊C₄×D₄₃	—	2	2	no	—
248	#13063259	C₂³	1	2	yes	—
249	#13063259	C₂³	1	2	yes	—
250	#13063258	C₂³	1	2	yes	—
251	#13063257	C₂³	1	2	yes	—
252	#13063257	C₂³	1	2	yes	—
253	#13063256	C₂³	1	2	yes	—
254	#13063249	C₂³	1	2	yes	—
255	#13063249	C₂³	1	2	yes	—
256	#13063249	C₂³	1	2	yes	—
257	#13063249	C₂³	1	2	yes	—
258	#13063249	C₂³	1	2	yes	—
259	#13063247	C₂³	1	2	yes	—
260	#13063247	C₂³	1	2	yes	—
261	#13063247	C₂³	1	2	yes	—
262	#13063247	C₂³	1	2	yes	—
263	#13063246	C₂³	1	2	yes	—
264	#13063246	C₂³	1	2	yes	—
265	#13063246	C₂³	1	2	yes	—
266	#13063246	C₂³	1	2	yes	—
267	#13063246	C₂³	1	2	yes	—
268	#13063245	C₂³	1	2	yes	—
269	#13063245	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	#13063236	C₂³	1	2	yes	—
275	C₄×C₄₃⋊C₈	C₂³	1	2	yes	—
276	C₂×#41×C₄₃	C₂³	1	1	yes	characteristic
277	C₂×#41×C₄₃	C₂³	1	1	yes	characteristic
278	C₂×#41×C₄₃	C₂³	1	1	yes	characteristic
279	#135×C₄₃	—	4	2	no	—
280	#135×C₄₃	—	4	2	no	—
281	C₂×Q₁₆×C₄₃	C₂³	1	1	yes	characteristic
282	C₂×Q₁₆×C₄₃	C₂³	1	1	yes	characteristic
283	C₂×SD₁₆×C₄₃	C₂³	1	1	yes	characteristic
284	C₂×SD₁₆×C₄₃	C₂³	1	1	yes	characteristic
285	C₂×SD₁₆×C₄₃	C₂³	1	1	yes	characteristic
286	C₂×SD₁₆×C₄₃	C₂³	1	1	yes	characteristic
287	C₂×D₈×C₄₃	C₂³	1	1	yes	characteristic
288	C₂×D₈×C₄₃	C₂³	1	1	yes	characteristic
289	C₂²×C₈×C₄₃	C₂³	1	1	yes	characteristic
290	C₂²×C₈×C₄₃	C₂³	1	1	yes	characteristic
291	C₄⋊Q₈×C₄₃	C₂³	1	1	yes	characteristic
292	#127×C₄₃	C₂³	1	1	yes	characteristic
293	#124×C₄₃	C₂³	1	1	yes	characteristic
294	#124×C₄₃	C₂³	1	1	yes	characteristic
295	#121×C₄₃	—	2	1	no	—
296	#121×C₄₃	—	2	1	no	—
297	C₄×Q₈×C₄₃	C₂³	1	1	yes	characteristic
298	C₄×Q₈×C₄₃	C₂³	1	1	yes	characteristic
299	C₄×D₄×C₄₃	—	2	1	no	—
300	C₄×D₄×C₄₃	—	2	1	no	—
301	C₄×D₄×C₄₃	—	2	1	no	—
302	C₄×D₄×C₄₃	—	2	1	no	—
303	C₄×D₄×C₄₃	C₂³	1	1	yes	characteristic
304	C₄×D₄×C₄₃	C₂³	1	1	yes	characteristic
305	#117×C₄₃	—	2	1	no	—
306	#117×C₄₃	C₂³	1	1	yes	characteristic
307	C₂×C₄²×C₄₃	—	2	1	no	—
308	C₂×C₄²×C₄₃	C₂³	1	1	yes	characteristic
309	C₄⋊C₈×C₄₃	C₂³	1	1	yes	characteristic
310	C₄⋊C₈×C₄₃	C₂³	1	1	yes	characteristic
311	C₄⋊C₈×C₄₃	C₂³	1	1	yes	characteristic
312	C₄⋊C₈×C₄₃	C₂³	1	1	yes	characteristic
313	#103×C₄₃	C₂³	1	1	yes	characteristic
314	#103×C₄₃	C₂³	1	1	yes	characteristic
315	#103×C₄₃	C₂³	1	1	yes	characteristic
316	#103×C₄₃	C₂³	1	1	yes	characteristic
317	#102×C₄₃	C₂³	1	1	yes	characteristic
318	#102×C₄₃	C₂³	1	1	yes	characteristic
319	#102×C₄₃	C₂³	1	1	yes	characteristic
320	#102×C₄₃	C₂³	1	1	yes	characteristic
321	C₂³×D₄₃	—	2	1	no	—
322	C₂³×D₄₃	—	2	2	no	—
323	C₂³×D₄₃	—	2	2	no	—
324	#41×C₄₃	—	2	2	no	—
325	#41×C₄₃	—	2	2	no	—
326	#41×C₄₃	—	2	2	no	—
327	#41×C₄₃	—	2	2	no	—
328	#41×C₄₃	—	2	2	no	—
329	#41×C₄₃	—	2	2	no	—
330	C₂×Q₈×C₄₃	C₂⁴	1	1	yes	characteristic
331	C₂×Q₈×C₄₃	C₂⁴	1	1	yes	characteristic
332	C₂×Q₈×C₄₃	C₂⁴	1	1	yes	characteristic
333	C₂×D₄×C₄₃	—	2	1	no	—
334	C₂×D₄×C₄₃	—	2	1	no	—
335	C₂×D₄×C₄₃	—	2	1	no	—
336	C₂×D₄×C₄₃	—	2	1	no	—
337	C₂×D₄×C₄₃	—	2	1	no	—
338	C₂×D₄×C₄₃	C₂⁴	1	1	yes	characteristic
339	C₂×D₄×C₄₃	C₂⁴	1	1	yes	characteristic
340	C₂×D₄×C₄₃	C₂⁴	1	1	yes	characteristic
341	C₂²×C₄×C₄₃	—	2	1	no	—
342	C₂²×C₄×C₄₃	—	2	1	no	—
343	C₂²×C₄×C₄₃	—	2	1	no	—
344	C₂²×C₄×C₄₃	—	2	1	no	—
345	C₂²×C₄×C₄₃	—	2	1	no	—
346	C₂²×C₄×C₄₃	C₂×D₄	1	1	yes	characteristic
347	C₂²×C₄×C₄₃	C₂×D₄	1	1	yes	characteristic
348	C₂²×C₄×C₄₃	C₂⁴	1	1	yes	characteristic
349	C₂×C₂²⋊D₄₃	—	2	2	no	—
350	C₂×C₂²⋊D₄₃	—	2	2	no	—
351	C₂×C₂²⋊D₄₃	—	2	2	no	—
352	C₂×C₂²⋊D₄₃	—	2	2	no	—
353	C₂×C₂²⋊D₄₃	—	2	2	no	—
354	C₂×C₂²⋊D₄₃	—	2	2	no	—
355	C₂×C₂²⋊D₄₃	C₂×D₄	1	2	yes	—
356	C₂×C₂²⋊D₄₃	C₂×D₄	1	2	yes	—
357	C₂²×Dic₄₃	—	2	1	no	—
358	C₂²×Dic₄₃	—	2	1	no	—
359	C₂²×Dic₄₃	—	2	1	no	—
360	#10621902	—	2	4	no	—
361	#10621902	—	2	4	no	—
362	#10621902	—	4	2	no	—
363	#10621902	—	4	2	no	—
364	D₄×D₄₃	—	2	4	no	—
365	D₄×D₄₃	—	2	4	no	—
366	D₄×D₄₃	—	4	8	no	—
367	D₄×D₄₃	—	4	8	no	—
368	D₄×D₄₃	—	4	2	no	—
369	D₄×D₄₃	—	4	2	no	—
370	D₄×D₄₃	—	8	4	no	—
371	#10621898	—	2	2	no	—
372	#10621898	—	2	2	no	—
373	#10621898	—	2	2	no	—
374	#10621898	—	2	2	no	—
375	#10621898	—	4	4	no	—
376	#10621898	—	4	4	no	—
377	C₂×D₁₇₂	—	2	1	no	—
378	C₂×D₁₇₂	—	2	2	no	—
379	C₂×D₁₇₂	—	2	2	no	—
380	C₂×D₁₇₂	—	2	2	no	—
381	C₂×D₁₇₂	—	4	4	no	—
382	C₂×D₁₇₂	—	4	4	no	—
383	C₂×D₁₇₂	C₂×D₄	1	1	yes	characteristic
384	C₂×D₁₇₂	C₂×D₄	1	1	yes	characteristic
385	C₂×D₁₇₂	C₂×D₄	1	2	yes	—
386	C₂×D₁₇₂	C₂×D₄	1	2	yes	—
387	C₂×D₁₇₂	#41	1	4	yes	—
388	C₂×D₁₇₂	C₂⁴	1	2	yes	—
389	C₂×C₄×D₄₃	—	2	2	no	—
390	C₂×C₄×D₄₃	—	2	2	no	—
391	C₂×C₄×D₄₃	—	2	2	no	—
392	C₂×C₄×D₄₃	—	2	2	no	—
393	C₂×C₄×D₄₃	—	2	2	no	—
394	C₂×C₄×D₄₃	—	2	2	no	—
395	C₂×C₄×D₄₃	—	8	2	no	—
396	C₂×C₄×D₄₃	C₂⁴	1	2	yes	—
397	C₂×C₄×D₄₃	C₂⁴	1	2	yes	—
398	C₂×Dic₈₆	C₂×D₄	1	1	yes	characteristic
399	C₂×Dic₈₆	C₂×D₄	1	1	yes	characteristic
400	Q₁₆×C₄₃	—	4	1	no	—
401	Q₁₆×C₄₃	—	4	1	no	—
402	SD₁₆×C₄₃	—	4	1	no	—
403	SD₁₆×C₄₃	—	4	1	no	—
404	SD₁₆×C₄₃	—	4	1	no	—
405	SD₁₆×C₄₃	—	4	1	no	—
406	D₈×C₄₃	—	4	1	no	—
407	D₈×C₄₃	—	4	1	no	—
408	C₂×C₈×C₄₃	—	2	2	no	—
409	C₂×C₈×C₄₃	—	2	2	no	—
410	C₂×C₈×C₄₃	C₂⁴	1	1	yes	characteristic
411	C₂×C₈×C₄₃	C₂⁴	1	1	yes	characteristic
412	C₂×C₈×C₄₃	C₂⁴	1	1	yes	characteristic
413	C₂×C₈×C₄₃	C₂⁴	1	1	yes	characteristic
414	C₄⋊C₄×C₄₃	—	2	1	no	—
415	C₄⋊C₄×C₄₃	—	2	1	no	—
416	C₄⋊C₄×C₄₃	—	2	1	no	—
417	C₄⋊C₄×C₄₃	—	2	1	no	—
418	C₄⋊C₄×C₄₃	C₂⁴	1	1	yes	characteristic
419	C₄⋊C₄×C₄₃	C₂⁴	1	1	yes	characteristic
420	C₂²⋊C₄×C₄₃	—	2	1	no	—
421	C₂²⋊C₄×C₄₃	—	2	1	no	—
422	C₂²⋊C₄×C₄₃	—	2	1	no	—
423	C₂²⋊C₄×C₄₃	—	2	1	no	—
424	C₂²⋊C₄×C₄₃	—	2	1	no	—
425	C₂²⋊C₄×C₄₃	—	2	1	no	—
426	C₂²⋊C₄×C₄₃	—	2	1	no	—
427	C₄²×C₄₃	—	2	1	no	—
428	C₄²×C₄₃	—	2	1	no	—
429	C₄²×C₄₃	—	2	1	no	—
430	C₄²×C₄₃	C₂×D₄	1	1	yes	characteristic
431	C₄²×C₄₃	C₂×D₄	1	1	yes	characteristic
432	C₄²×C₄₃	C₂⁴	1	1	yes	characteristic
433	C₄²×C₄₃	C₂⁴	1	1	yes	characteristic
434	C₂²⋊Dic₄₃	—	2	2	no	—
435	C₂²⋊Dic₄₃	—	2	2	no	—
436	C₂²⋊Dic₄₃	—	2	2	no	—
437	C₂²⋊Dic₄₃	—	2	2	no	—
438	#10621884	—	2	4	no	—
439	#10621882	—	2	4	no	—
440	(C₂×D₄₃)⋊C₄	—	2	2	no	—
441	(C₂×D₄₃)⋊C₄	—	2	2	no	—
442	(C₂×D₄₃)⋊C₄	—	2	2	no	—
443	(C₂×D₄₃)⋊C₄	—	2	2	no	—
444	(C₂×D₄₃)⋊C₄	—	2	2	no	—
445	(C₂×D₄₃)⋊C₄	—	2	2	no	—
446	(C₂×D₄₃)⋊C₄	—	2	2	no	—
447	(C₂×D₄₃)⋊C₄	—	2	2	no	—
448	(C₂×D₄₃)⋊C₄	C₂×D₄	1	2	yes	—
449	(C₂×D₄₃)⋊C₄	C₂×D₄	1	2	yes	—
450	(C₂×D₄₃)⋊C₄	C₂×D₄	1	2	yes	—
451	(C₂×D₄₃)⋊C₄	C₂×D₄	1	2	yes	—
452	C₄⋊Dic₄₃	—	2	1	no	—
453	C₄⋊Dic₄₃	—	2	1	no	—
454	C₄⋊Dic₄₃	—	2	1	no	—
455	C₄⋊Dic₄₃	C₂×D₄	1	2	yes	—
456	C₄⋊Dic₄₃	C₂×D₄	1	2	yes	—
457	C₄⋊Dic₄₃	C₂⁴	1	2	yes	—
458	C₄⋊Dic₄₃	C₂⁴	1	2	yes	—
459	C₄⋊Dic₄₃	C₂⁴	1	2	yes	—
460	Dic₄₃⋊C₄	—	2	2	no	—
461	Dic₄₃⋊C₄	—	2	2	no	—
462	Dic₄₃⋊C₄	—	2	2	no	—
463	Dic₄₃⋊C₄	—	2	2	no	—
464	Dic₄₃⋊C₄	—	2	2	no	—
465	Dic₄₃⋊C₄	—	2	2	no	—
466	Dic₄₃⋊C₄	—	2	2	no	—
467	Dic₄₃⋊C₄	—	2	2	no	—
468	Dic₄₃⋊C₄	—	2	2	no	—
469	Dic₄₃⋊C₄	—	2	2	no	—
470	C₄×Dic₄₃	—	2	2	no	—
471	C₄×Dic₄₃	—	2	2	no	—
472	#10621877	—	2	2	no	—
473	#10621877	—	2	2	no	—
474	C₂×C₄₃⋊C₈	C₂⁴	1	2	yes	—
475	C₂×C₄₃⋊C₈	C₂⁴	1	2	yes	—
476	#10621872	—	4	2	no	—
477	#10621872	—	4	2	no	—
478	C₈×D₄₃	—	4	2	no	—
479	C₈×D₄₃	—	4	2	no	—
480	C₂³×C₄₃	—	2	1	no	—
481	C₂³×C₄₃	—	2	1	no	—
482	C₂³×C₄₃	—	2	1	no	—
483	C₂³×C₄₃	C₂²×D₄	1	1	yes	characteristic
484	C₂²×D₄₃	—	2	2	no	—
485	C₂²×D₄₃	—	2	4	no	—
486	C₂²×D₄₃	—	4	4	no	—
487	C₂²×D₄₃	—	4	4	no	—
488	C₂²×D₄₃	—	8	2	no	—
489	C₂²×D₄₃	—	8	2	no	—
490	C₂²×D₄₃	—	8	2	no	—
491	C₂²×D₄₃	—	8	2	no	—
492	C₂²×D₄₃	—	8	1	no	—
493	C₂²×D₄₃	—	8	1	no	—
494	C₂²×D₄₃	C₂²×D₄	1	2	yes	—
495	C₂²×D₄₃	C₂²×D₄	1	2	yes	—
496	Q₈×C₄₃	—	2	1	no	—
497	Q₈×C₄₃	—	2	1	no	—
498	Q₈×C₄₃	—	2	1	no	—
499	Q₈×C₄₃	—	2	1	no	—
500	Q₈×C₄₃	—	2	1	no	—
501	Q₈×C₄₃	—	2	1	no	—
502	D₄×C₄₃	—	2	1	no	—
503	D₄×C₄₃	—	2	1	no	—
504	D₄×C₄₃	—	2	1	no	—
505	D₄×C₄₃	—	2	1	no	—
506	D₄×C₄₃	—	2	1	no	—
507	D₄×C₄₃	—	2	1	no	—
508	D₄×C₄₃	—	4	2	no	—
509	D₄×C₄₃	—	4	2	no	—
510	D₄×C₄₃	—	4	2	no	—
511	D₄×C₄₃	—	4	2	no	—
512	D₄×C₄₃	—	8	1	no	—
513	C₂×C₄×C₄₃	—	2	1	no	—
514	C₂×C₄×C₄₃	—	2	1	no	—
515	C₂×C₄×C₄₃	—	2	1	no	—
516	C₂×C₄×C₄₃	—	2	1	no	—
517	C₂×C₄×C₄₃	—	2	1	no	—
518	C₂×C₄×C₄₃	—	4	1	no	—
519	C₂×C₄×C₄₃	—	4	1	no	—
520	C₂×C₄×C₄₃	—	4	2	no	—
521	C₂×C₄×C₄₃	—	4	2	no	—
522	C₂×C₄×C₄₃	—	4	2	no	—
523	C₂×C₄×C₄₃	—	8	1	no	—
524	C₂×C₄×C₄₃	—	8	1	no	—
525	C₂×C₄×C₄₃	C₂²×D₄	1	1	yes	characteristic
526	C₂×C₄×C₄₃	C₂²×D₄	1	1	yes	characteristic
527	C₂×C₄×C₄₃	C₂²×D₄	1	1	yes	characteristic
528	C₂×C₄×C₄₃	C₂²×D₄	1	1	yes	characteristic
529	C₂×C₄×C₄₃	C₂²×D₄	1	1	yes	characteristic
530	C₂×C₄×C₄₃	C₂×#41	1	2	yes	—
531	C₂×C₄×C₄₃	H(5,𝔽₂)	1	2	yes	—
532	C₂×C₄×C₄₃	C₂⁵	1	1	yes	characteristic
533	C₂²⋊D₄₃	—	2	4	no	—
534	C₂²⋊D₄₃	—	2	4	no	—
535	C₂²⋊D₄₃	—	4	4	no	—
536	C₂²⋊D₄₃	—	4	4	no	—
537	C₂²⋊D₄₃	—	8	2	no	—
538	C₂²⋊D₄₃	—	8	2	no	—
539	C₂²⋊D₄₃	—	8	2	no	—
540	C₂²⋊D₄₃	—	8	2	no	—
541	C₂×Dic₄₃	—	2	2	no	—
542	C₂×Dic₄₃	—	2	2	no	—
543	C₂×Dic₄₃	—	2	2	no	—
544	C₂×Dic₄₃	—	8	1	no	—
545	C₂×Dic₄₃	—	8	1	no	—
546	C₂×Dic₄₃	—	8	1	no	—
547	C₂×Dic₄₃	C₂²×D₄	1	2	yes	—
548	C₂×Dic₄₃	C₂²×D₄	1	2	yes	—
549	D₁₇₂	—	2	4	no	—
550	D₁₇₂	—	2	2	no	—
551	D₁₇₂	—	2	2	no	—
552	D₁₇₂	—	2	2	no	—
553	D₁₇₂	—	4	2	no	—
554	D₁₇₂	—	4	2	no	—
555	D₁₇₂	—	4	4	no	—
556	D₁₇₂	—	4	4	no	—
557	D₁₇₂	C₂×#41	1	4	yes	—
558	C₄×D₄₃	—	2	2	no	—
559	C₄×D₄₃	—	2	2	no	—
560	C₄×D₄₃	—	2	2	no	—
561	C₄×D₄₃	—	2	2	no	—
562	C₄×D₄₃	—	4	4	no	—
563	C₄×D₄₃	—	4	4	no	—
564	C₄×D₄₃	—	4	4	no	—
565	C₄×D₄₃	—	8	2	no	—
566	C₄×D₄₃	—	8	2	no	—
567	C₄×D₄₃	—	8	2	no	—
568	Dic₈₆	—	2	2	no	—
569	Dic₈₆	—	2	2	no	—
570	C₈×C₄₃	—	2	1	no	—
571	C₈×C₄₃	—	2	1	no	—
572	C₈×C₄₃	—	2	1	no	—
573	C₈×C₄₃	—	2	1	no	—
574	C₄₃⋊C₈	—	2	2	no	—
575	C₄₃⋊C₈	—	2	2	no	—
576	#61201	—	43	1	no	maximal, Sylow
577	C₂²×C₄₃	—	2	1	no	—
578	C₂²×C₄₃	—	2	1	no	—
579	C₂²×C₄₃	—	4	1	no	—
580	C₂²×C₄₃	—	4	1	no	—
581	C₂²×C₄₃	—	4	1	no	—
582	C₂²×C₄₃	—	4	1	no	—
583	C₂²×C₄₃	—	4	1	no	—
584	C₂²×C₄₃	—	4	1	no	—
585	C₂²×C₄₃	—	4	1	no	—
586	C₂²×C₄₃	—	4	1	no	—
587	C₂²×C₄₃	—	4	1	no	—
588	C₂²×C₄₃	#546	1	2	yes	—
589	C₂²×C₄₃	C₂³×D₄	1	1	yes	characteristic
590	C₂×D₄₃	—	2	2	no	—
591	C₂×D₄₃	—	2	2	no	—
592	C₂×D₄₃	—	2	2	no	—
593	C₂×D₄₃	—	2	2	no	—
594	C₂×D₄₃	—	2	4	no	—
595	C₂×D₄₃	—	2	2	no	—
596	C₂×D₄₃	—	2	2	no	—
597	C₂×D₄₃	—	4	2	no	—
598	C₂×D₄₃	—	4	2	no	—
599	C₂×D₄₃	—	8	4	no	—
600	C₂×D₄₃	—	16	4	no	—
601	C₂×D₄₃	—	16	4	no	—
602	C₄×C₄₃	—	2	1	no	—
603	C₄×C₄₃	—	2	1	no	—
604	C₄×C₄₃	—	2	1	no	—
605	C₄×C₄₃	—	2	1	no	—
606	C₄×C₄₃	—	4	1	no	—
607	C₄×C₄₃	—	4	1	no	—
608	C₄×C₄₃	—	4	1	no	—
609	C₄×C₄₃	—	4	1	no	—
610	C₄×C₄₃	—	4	1	no	—
611	C₄×C₄₃	#546	1	2	yes	—
612	C₄×C₄₃	C₂²×#41	1	1	yes	characteristic
613	C₄×C₄₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
614	Dic₄₃	—	2	2	no	—
615	Dic₄₃	—	2	2	no	—
616	Dic₄₃	—	4	2	no	—
617	Dic₄₃	—	4	2	no	—
618	Dic₄₃	—	4	2	no	—
619	#3512	—	43	1	no	—
620	#3496	—	43	1	no	—
621	#3323	—	43	2	no	—
622	#3322	—	43	2	no	—
623	#3318	—	43	2	no	—
624	#3315	—	43	2	no	—
625	#3310	—	43	2	no	—
626	#3307	—	43	2	no	—
627	#3297	—	43	2	no	—
628	#3296	—	43	2	no	—
629	#3142	—	43	1	no	—
630	#3099	—	43	1	no	—
631	#3098	—	43	1	no	—
632	C₂×#478	—	43	1	no	—
633	#3061	—	43	1	no	—
634	#3060	—	43	1	no	—
635	#3035	D₄₃	1	1	yes	characteristic, complemented
636	#3012	—	43	1	no	—
637	#3012	—	43	1	no	—
638	C₄×AGL(1,ℤ/8)	—	43	1	no	—
639	#2935	—	43	1	no	—
640	#2897	—	43	1	no	—
641	#2897	—	43	1	no	—
642	C₂×C₄₃	—	2	2	no	—
643	C₂×C₄₃	—	8	1	no	—
644	C₂×C₄₃	—	8	1	no	—
645	C₂×C₄₃	—	8	1	no	—
646	C₂×C₄₃	C₂×#546	1	1	yes	characteristic
647	C₂×C₄₃	#3584	1	1	yes	characteristic
648	C₂×C₄₃	#3585	1	1	yes	characteristic
649	D₄₃	—	4	2	no	—
650	D₄₃	—	4	2	no	—
651	D₄₃	—	4	4	no	—
652	C₂×H(5,𝔽₂)	—	43	1	no	—
653	C₂×H(5,𝔽₂)	—	43	1	no	—
654	C₂×AGL(1,ℤ/8)	—	43	1	no	—
655	C₂×#135	C₂×D₄₃	1	1	yes	characteristic, complemented
656	C₂×#135	C₂×D₄₃	1	1	yes	characteristic, complemented
657	C₂×#131	—	43	1	no	—
658	C₂×#131	—	43	1	no	—
659	#553	—	43	2	no	—
660	#553	—	43	2	no	—
661	#553	—	86	2	no	—
662	#553	—	86	2	no	—
663	#552	—	43	2	no	—
664	#552	—	43	2	no	—
665	#547	—	43	2	no	—
666	#547	—	86	1	no	—
667	#546	—	43	2	no	—
668	#546	—	43	2	no	—
669	#546	—	86	1	no	—
670	#546	—	86	1	no	—
671	D₄²	—	43	2	no	—
672	D₄²	—	86	1	no	—
673	#541	—	86	1	no	—
674	#540	—	86	1	no	—
675	#537	—	43	1	no	—
676	#537	—	43	1	no	—
677	#537	—	43	1	no	—
678	#537	—	43	1	no	—
679	#534	—	86	2	no	—
680	#532	—	43	1	no	—
681	#532	C₂×D₄₃	1	1	yes	characteristic
682	#529	—	86	1	no	—
683	#529	—	86	1	no	—
684	C₂×#125	—	43	1	no	—
685	C₂×#121	—	86	2	no	—
686	#520	—	43	1	no	—
687	#520	—	43	1	no	—
688	C₄×#41	C₂×D₄₃	1	1	yes	characteristic, complemented
689	C₂×C₄×D₄	—	43	1	no	—
690	#491	—	43	2	no	—
691	#490	—	43	2	no	—
692	#488	—	43	2	no	—
693	#488	—	43	2	no	—
694	#485	—	43	2	no	—
695	#485	—	43	2	no	—
696	#484	—	43	2	no	—
697	#483	—	43	2	no	—
698	#482	—	43	2	no	—
699	#482	—	43	2	no	—
700	#481	—	43	2	no	—
701	#480	—	43	2	no	—
702	#478	—	43	2	no	—
703	#478	—	43	2	no	—
704	#478	—	43	2	no	—
705	#478	—	43	2	no	—
706	#470	—	43	2	no	—
707	#469	—	43	2	no	—
708	#468	—	43	2	no	—
709	#468	—	43	2	no	—
710	#467	—	43	2	no	—
711	#466	—	43	2	no	—
712	#465	—	43	2	no	—
713	#465	—	43	2	no	—
714	#464	C₂×D₄₃	1	1	yes	characteristic, complemented
715	#464	C₂×D₄₃	1	1	yes	characteristic, complemented
716	#463	C₂×D₄₃	1	1	yes	characteristic, complemented
717	#463	C₂×D₄₃	1	1	yes	characteristic, complemented
718	#462	C₂×D₄₃	1	1	yes	characteristic, complemented
719	#461	C₂×D₄₃	1	1	yes	characteristic, complemented
720	#460	C₂×D₄₃	1	1	yes	characteristic, complemented
721	#459	C₂×D₄₃	1	1	yes	characteristic, complemented
722	#452	—	43	2	no	—
723	#452	—	43	2	no	—
724	#450	—	43	2	no	—
725	#450	—	43	2	no	—
726	#449	—	43	2	no	—
727	#449	—	43	2	no	—
728	#447	—	43	2	no	—
729	#447	—	43	2	no	—
730	#442	—	43	2	no	—
731	#440	—	43	2	no	—
732	C₄×SD₁₆	—	43	2	no	—
733	C₄×D₈	—	43	2	no	—
734	#436	—	43	2	no	—
735	#435	—	43	2	no	—
736	#435	—	43	2	no	—
737	C₈×D₄	—	43	2	no	—
738	#428	—	43	1	no	—
739	C₂×#107	—	43	1	no	—
740	C₂×#106	—	43	1	no	—
741	C₂×C₄⋊C₈	C₂×D₄₃	1	1	yes	characteristic, complemented
742	#418	—	43	1	no	—
743	#418	—	43	2	no	—
744	#418	—	43	2	no	—
745	#417	—	43	1	no	—
746	#417	—	43	1	no	—
747	#417	—	43	1	no	—
748	#417	—	43	1	no	—
749	#417	—	43	1	no	—
750	#417	—	43	2	no	—
751	#417	—	43	2	no	—
752	#416	—	43	2	no	—
753	#416	—	43	2	no	—
754	#416	C₂×D₄₃	1	1	yes	characteristic, complemented
755	#416	C₂×D₄₃	1	1	yes	characteristic, complemented
756	C₂×#102	—	43	1	no	—
757	C₂×#102	—	43	1	no	—
758	C₂×#102	—	43	2	no	—
759	C₂×#102	—	43	2	no	—
760	#408	—	43	1	no	—
761	#408	—	43	1	no	—
762	C₄×M₁₆	—	43	1	no	—
763	C₄₃	#61201	1	1	yes	characteristic, complemented, Sylow
764	H(5,𝔽₂)	—	86	4	no	—
765	H(5,𝔽₂)	—	86	4	no	—
766	H(5,𝔽₂)	—	172	2	no	—
767	H(5,𝔽₂)	—	172	2	no	—
768	C₂×#41	—	43	1	no	—
769	C₂×#41	—	43	1	no	—
770	C₂×#41	—	43	2	no	—
771	C₂×#41	—	43	2	no	—
772	C₂×#41	—	86	1	no	—
773	C₂×#41	—	86	1	no	—
774	C₂×#41	C₂²×D₄₃	1	1	yes	characteristic
775	C₂×#41	C₂²×D₄₃	1	1	yes	characteristic
776	C₂×#41	C₂²×D₄₃	1	1	yes	characteristic
777	C₂²×D₄	—	43	2	no	—
778	C₂²×D₄	—	43	2	no	—
779	C₂²×D₄	—	43	1	no	—
780	C₂²×D₄	—	86	1	no	—
781	C₂²×D₄	—	86	1	no	—
782	C₂²×D₄	—	86	2	no	—
783	C₂²×D₄	—	86	2	no	—
784	C₂²×D₄	—	86	2	no	—
785	C₂³×C₄	—	86	1	no	—
786	AGL(1,ℤ/8)	—	86	4	no	—
787	#135	—	4	2	no	—
788	#135	—	4	2	no	—
789	C₂×Q₁₆	C₂²×D₄₃	1	1	yes	characteristic
790	C₂×Q₁₆	C₂²×D₄₃	1	1	yes	characteristic
791	C₂×SD₁₆	—	43	2	no	—
792	C₂×SD₁₆	C₂²×D₄₃	1	1	yes	characteristic
793	C₂×SD₁₆	C₂²×D₄₃	1	1	yes	characteristic
794	C₂×SD₁₆	C₂²×D₄₃	1	1	yes	characteristic
795	C₂×SD₁₆	C₂²×D₄₃	1	1	yes	characteristic
796	C₂×D₈	—	43	2	no	—
797	C₂×D₈	C₂²×D₄₃	1	1	yes	characteristic
798	C₂×D₈	C₂²×D₄₃	1	1	yes	characteristic
799	#131	—	172	2	no	—
800	#131	—	172	2	no	—
801	C₂×M₁₆	—	43	1	no	—
802	C₂×M₁₆	—	43	1	no	—
803	C₂×M₁₆	—	43	2	no	—
804	C₂×M₁₆	—	43	2	no	—
805	C₂²×C₈	—	43	2	no	—
806	C₂²×C₈	—	43	2	no	—
807	C₂²×C₈	C₂²×D₄₃	1	1	yes	characteristic
808	C₂²×C₈	C₂²×D₄₃	1	1	yes	characteristic
809	C₄⋊Q₈	—	43	1	no	—
810	C₄⋊Q₈	C₂²×D₄₃	1	1	yes	characteristic
811	#127	—	43	1	no	—
812	#127	C₂²×D₄₃	1	1	yes	characteristic
813	#126	—	86	2	no	—
814	#126	—	86	2	no	—
815	#126	—	86	2	no	—
816	#126	—	86	2	no	—
817	#125	—	43	2	no	—
818	#125	—	43	2	no	—
819	#125	—	86	2	no	—
820	#125	—	86	2	no	—
821	#125	—	86	1	no	—
822	#125	—	86	1	no	—
823	#124	—	43	1	no	—
824	#124	—	43	1	no	—
825	#124	C₂²×D₄₃	1	1	yes	characteristic
826	#124	C₂²×D₄₃	1	1	yes	characteristic
827	#123	—	86	2	no	—
828	#123	—	86	2	no	—
829	#123	—	86	2	no	—
830	#123	—	86	2	no	—
831	#123	—	86	2	no	—
832	#123	—	86	2	no	—
833	#123	—	86	2	no	—
834	#123	—	86	2	no	—
835	C₂²⋊Q₈	—	43	2	no	—
836	C₂²⋊Q₈	—	43	2	no	—
837	C₂²⋊Q₈	—	43	2	no	—
838	C₂²⋊Q₈	—	43	2	no	—
839	C₂²⋊Q₈	—	86	1	no	—
840	C₂²⋊Q₈	—	86	1	no	—
841	C₂²⋊Q₈	—	86	1	no	—
842	C₂²⋊Q₈	—	86	1	no	—
843	#121	—	2	1	no	—
844	#121	—	2	1	no	—
845	#121	—	43	2	no	—
846	#121	—	43	2	no	—
847	#121	—	43	2	no	—
848	#121	—	43	2	no	—
849	#121	—	43	2	no	—
850	#121	—	43	2	no	—
851	#121	—	86	2	no	—
852	#121	—	86	2	no	—
853	#121	—	86	2	no	—
854	#121	—	86	2	no	—
855	#121	—	86	2	no	—
856	#121	—	86	2	no	—
857	#121	—	86	1	no	—
858	#121	—	86	1	no	—
859	#121	—	86	1	no	—
860	#121	—	86	1	no	—
861	#121	—	86	2	no	—
862	#121	—	86	2	no	—
863	#121	—	86	2	no	—
864	#121	—	86	2	no	—
865	#120	—	86	2	no	—
866	#120	—	86	2	no	—
867	#120	—	86	2	no	—
868	#120	—	86	2	no	—
869	C₄×Q₈	—	86	1	no	—
870	C₄×Q₈	—	86	1	no	—
871	C₄×Q₈	C₂²×D₄₃	1	1	yes	characteristic
872	C₄×Q₈	C₂²×D₄₃	1	1	yes	characteristic
873	C₄×D₄	—	2	1	no	—
874	C₄×D₄	—	2	1	no	—
875	C₄×D₄	—	2	1	no	—
876	C₄×D₄	—	2	1	no	—
877	C₄×D₄	—	43	2	no	—
878	C₄×D₄	—	43	2	no	—
879	C₄×D₄	—	43	2	no	—
880	C₄×D₄	—	43	2	no	—
881	C₄×D₄	—	86	1	no	—
882	C₄×D₄	—	86	1	no	—
883	C₄×D₄	—	86	2	no	—
884	C₄×D₄	—	86	2	no	—
885	C₄×D₄	—	86	2	no	—
886	C₄×D₄	—	86	2	no	—
887	C₄×D₄	—	86	1	no	—
888	C₄×D₄	—	86	1	no	—
889	C₄×D₄	C₂²×D₄₃	1	1	yes	characteristic
890	C₄×D₄	C₂²×D₄₃	1	1	yes	characteristic
891	#117	—	2	1	no	—
892	#117	—	43	2	no	—
893	#117	—	43	2	no	—
894	#117	—	86	2	no	—
895	#117	—	86	2	no	—
896	#117	C₂²×D₄₃	1	1	yes	characteristic
897	C₂×C₄⋊C₄	—	43	1	no	—
898	C₂×C₄⋊C₄	—	43	1	no	—
899	C₂×C₄⋊C₄	—	43	1	no	—
900	C₂×C₄⋊C₄	—	43	2	no	—
901	C₂×C₄⋊C₄	—	43	2	no	—
902	C₂×C₄⋊C₄	—	86	2	no	—
903	C₂×C₄⋊C₄	—	86	1	no	—
904	C₂×C₄⋊C₄	—	86	1	no	—
905	C₂×C₂²⋊C₄	—	86	2	no	—
906	C₂×C₂²⋊C₄	—	86	2	no	—
907	C₂×C₂²⋊C₄	—	86	1	no	—
908	C₂×C₄²	—	2	1	no	—
909	C₂×C₄²	C₂²×D₄₃	1	1	yes	characteristic
910	#107	—	43	2	no	—
911	#107	—	43	2	no	—
912	#107	—	43	2	no	—
913	#106	—	43	2	no	—
914	#106	—	43	2	no	—
915	#106	—	43	2	no	—
916	C₄⋊C₈	C₂²×D₄₃	1	1	yes	characteristic
917	C₄⋊C₈	C₂²×D₄₃	1	1	yes	characteristic
918	C₄⋊C₈	C₂²×D₄₃	1	1	yes	characteristic
919	C₄⋊C₈	C₂²×D₄₃	1	1	yes	characteristic
920	#103	—	43	2	no	—
921	#103	—	43	2	no	—
922	#103	—	43	2	no	—
923	#103	—	43	2	no	—
924	#103	—	43	2	no	—
925	#103	C₂²×D₄₃	1	1	yes	characteristic
926	#103	C₂²×D₄₃	1	1	yes	characteristic
927	#103	C₂²×D₄₃	1	1	yes	characteristic
928	#103	C₂²×D₄₃	1	1	yes	characteristic
929	#102	—	43	2	no	—
930	#102	—	43	2	no	—
931	#102	—	43	2	no	—
932	#102	—	43	2	no	—
933	#102	—	43	2	no	—
934	#102	—	43	2	no	—
935	#102	—	43	2	no	—
936	#102	—	43	2	no	—
937	#102	—	43	2	no	—
938	#102	—	43	2	no	—
939	#102	—	43	2	no	—
940	#102	C₂²×D₄₃	1	1	yes	characteristic
941	#102	C₂²×D₄₃	1	1	yes	characteristic
942	#102	C₂²×D₄₃	1	1	yes	characteristic
943	#102	C₂²×D₄₃	1	1	yes	characteristic
944	C₂²⋊C₈	—	43	2	no	—
945	C₂²⋊C₈	—	43	2	no	—
946	C₂²⋊C₈	—	43	2	no	—
947	C₂²⋊C₈	—	43	2	no	—
948	#97	—	43	2	no	—
949	C₄×C₈	—	43	2	no	—
950	C₂⁴	—	86	2	no	—
951	C₂⁴	—	86	2	no	—
952	C₂⁴	—	86	1	no	—
953	#41	—	2	2	no	—
954	#41	—	2	2	no	—
955	#41	—	2	2	no	—
956	#41	—	2	2	no	—
957	#41	—	2	2	no	—
958	#41	—	2	2	no	—
959	#41	—	86	2	no	—
960	#41	—	86	2	no	—
961	#41	—	86	2	no	—
962	#41	—	86	2	no	—
963	#41	—	86	4	no	—
964	#41	—	86	4	no	—
965	#41	—	172	4	no	—
966	#41	—	172	4	no	—
967	#41	—	172	2	no	—
968	#41	—	172	2	no	—
969	C₂×Q₈	—	43	1	no	—
970	C₂×Q₈	—	43	1	no	—
971	C₂×Q₈	C₂³×D₄₃	1	1	yes	characteristic
972	C₂×Q₈	C₂³×D₄₃	1	1	yes	characteristic
973	C₂×Q₈	C₂³×D₄₃	1	1	yes	characteristic
974	C₂×D₄	—	2	1	no	—
975	C₂×D₄	—	2	1	no	—
976	C₂×D₄	—	2	1	no	—
977	C₂×D₄	—	2	1	no	—
978	C₂×D₄	—	2	1	no	—
979	C₂×D₄	—	43	2	no	—
980	C₂×D₄	—	43	2	no	—
981	C₂×D₄	—	43	1	no	—
982	C₂×D₄	—	43	1	no	—
983	C₂×D₄	—	43	2	no	—
984	C₂×D₄	—	43	2	no	—
985	C₂×D₄	—	43	4	no	—
986	C₂×D₄	—	43	2	no	—
987	C₂×D₄	—	86	2	no	—
988	C₂×D₄	—	86	2	no	—
989	C₂×D₄	—	86	2	no	—
990	C₂×D₄	—	86	2	no	—
991	C₂×D₄	—	86	4	no	—
992	C₂×D₄	—	86	4	no	—
993	C₂×D₄	—	86	2	no	—
994	C₂×D₄	—	86	2	no	—
995	C₂×D₄	—	86	2	no	—
996	C₂×D₄	—	86	2	no	—
997	C₂×D₄	—	86	1	no	—
998	C₂×D₄	—	86	2	no	—
999	C₂×D₄	—	344	4	no	—
1000	C₂×D₄	—	172	4	no	—
1001	C₂×D₄	—	172	4	no	—
1002	C₂×D₄	—	172	2	no	—
1003	C₂×D₄	—	172	2	no	—
1004	C₂×D₄	—	172	8	no	—
1005	C₂×D₄	—	172	8	no	—
1006	C₂×D₄	C₂³×D₄₃	1	1	yes	characteristic
1007	C₂×D₄	C₂³×D₄₃	1	1	yes	characteristic
1008	C₂×D₄	C₂³×D₄₃	1	1	yes	characteristic
1009	C₂²×C₄	—	2	1	no	—
1010	C₂²×C₄	—	2	1	no	—
1011	C₂²×C₄	—	2	1	no	—
1012	C₂²×C₄	—	2	1	no	—
1013	C₂²×C₄	—	2	1	no	—
1014	C₂²×C₄	—	43	2	no	—
1015	C₂²×C₄	—	43	2	no	—
1016	C₂²×C₄	—	86	2	no	—
1017	C₂²×C₄	—	86	2	no	—
1018	C₂²×C₄	—	86	2	no	—
1019	C₂²×C₄	—	86	2	no	—
1020	C₂²×C₄	—	86	1	no	—
1021	C₂²×C₄	—	86	1	no	—
1022	C₂²×C₄	—	86	1	no	—
1023	C₂²×C₄	—	86	2	no	—
1024	C₂²×C₄	—	86	2	no	—
1025	C₂²×C₄	—	344	2	no	—
1026	C₂²×C₄	D₄×D₄₃	1	1	yes	characteristic
1027	C₂²×C₄	D₄×D₄₃	1	1	yes	characteristic
1028	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
1029	Q₁₆	—	4	1	no	—
1030	Q₁₆	—	4	1	no	—
1031	SD₁₆	—	4	1	no	—
1032	SD₁₆	—	4	1	no	—
1033	SD₁₆	—	4	1	no	—
1034	SD₁₆	—	4	1	no	—
1035	SD₁₆	—	86	4	no	—
1036	D₈	—	4	1	no	—
1037	D₈	—	4	1	no	—
1038	D₈	—	86	4	no	—
1039	M₁₆	—	86	2	no	—
1040	M₁₆	—	86	2	no	—
1041	M₁₆	—	172	2	no	—
1042	M₁₆	—	172	2	no	—
1043	C₂×C₈	—	2	2	no	—
1044	C₂×C₈	—	2	2	no	—
1045	C₂×C₈	—	43	2	no	—
1046	C₂×C₈	—	43	2	no	—
1047	C₂×C₈	—	172	2	no	—
1048	C₂×C₈	—	172	2	no	—
1049	C₂×C₈	C₂³×D₄₃	1	1	yes	characteristic
1050	C₂×C₈	C₂³×D₄₃	1	1	yes	characteristic
1051	C₂×C₈	C₂³×D₄₃	1	1	yes	characteristic
1052	C₂×C₈	C₂³×D₄₃	1	1	yes	characteristic
1053	C₄⋊C₄	—	2	1	no	—
1054	C₄⋊C₄	—	2	1	no	—
1055	C₄⋊C₄	—	2	1	no	—
1056	C₄⋊C₄	—	2	1	no	—
1057	C₄⋊C₄	—	43	2	no	—
1058	C₄⋊C₄	—	43	2	no	—
1059	C₄⋊C₄	—	43	2	no	—
1060	C₄⋊C₄	—	43	2	no	—
1061	C₄⋊C₄	—	43	2	no	—
1062	C₄⋊C₄	—	86	2	no	—
1063	C₄⋊C₄	—	86	2	no	—
1064	C₄⋊C₄	—	86	2	no	—
1065	C₄⋊C₄	—	86	2	no	—
1066	C₄⋊C₄	—	86	2	no	—
1067	C₄⋊C₄	—	86	2	no	—
1068	C₄⋊C₄	—	86	1	no	—
1069	C₄⋊C₄	—	86	1	no	—
1070	C₄⋊C₄	—	86	1	no	—
1071	C₄⋊C₄	—	86	2	no	—
1072	C₄⋊C₄	—	86	2	no	—
1073	C₄⋊C₄	—	86	2	no	—
1074	C₄⋊C₄	—	86	2	no	—
1075	C₄⋊C₄	C₂³×D₄₃	1	1	yes	characteristic
1076	C₄⋊C₄	C₂³×D₄₃	1	1	yes	characteristic
1077	C₂²⋊C₄	—	2	1	no	—
1078	C₂²⋊C₄	—	2	1	no	—
1079	C₂²⋊C₄	—	2	1	no	—
1080	C₂²⋊C₄	—	2	1	no	—
1081	C₂²⋊C₄	—	2	1	no	—
1082	C₂²⋊C₄	—	2	1	no	—
1083	C₂²⋊C₄	—	2	1	no	—
1084	C₂²⋊C₄	—	43	2	no	—
1085	C₂²⋊C₄	—	43	2	no	—
1086	C₂²⋊C₄	—	43	2	no	—
1087	C₂²⋊C₄	—	43	2	no	—
1088	C₂²⋊C₄	—	86	2	no	—
1089	C₂²⋊C₄	—	86	2	no	—
1090	C₂²⋊C₄	—	86	2	no	—
1091	C₂²⋊C₄	—	86	2	no	—
1092	C₂²⋊C₄	—	86	2	no	—
1093	C₂²⋊C₄	—	86	2	no	—
1094	C₂²⋊C₄	—	86	2	no	—
1095	C₂²⋊C₄	—	86	2	no	—
1096	C₂²⋊C₄	—	86	2	no	—
1097	C₂²⋊C₄	—	86	2	no	—
1098	C₂²⋊C₄	—	86	2	no	—
1099	C₂²⋊C₄	—	86	2	no	—
1100	C₄²	—	2	1	no	—
1101	C₄²	—	2	1	no	—
1102	C₄²	—	2	1	no	—
1103	C₄²	—	86	2	no	—
1104	C₄²	—	86	2	no	—
1105	C₄²	D₄×D₄₃	1	1	yes	characteristic
1106	C₄²	D₄×D₄₃	1	1	yes	characteristic
1107	C₄²	C₂³×D₄₃	1	1	yes	characteristic
1108	C₄²	C₂³×D₄₃	1	1	yes	characteristic
1109	C₂³	—	2	1	no	—
1110	C₂³	—	2	1	no	—
1111	C₂³	—	2	1	no	—
1112	C₂³	—	43	2	no	—
1113	C₂³	—	43	2	no	—
1114	C₂³	—	86	4	no	—
1115	C₂³	—	86	2	no	—
1116	C₂³	—	344	1	no	—
1117	C₂³	—	344	1	no	—
1118	C₂³	—	344	2	no	—
1119	C₂³	—	344	2	no	—
1120	C₂³	—	344	2	no	—
1121	C₂³	—	344	2	no	—
1122	C₂³	—	172	4	no	—
1123	C₂³	—	172	4	no	—
1124	C₂³	C₂×D₄×D₄₃	1	1	yes	characteristic
1125	Q₈	—	2	1	no	—
1126	Q₈	—	2	1	no	—
1127	Q₈	—	2	1	no	—
1128	Q₈	—	2	1	no	—
1129	Q₈	—	2	1	no	—
1130	Q₈	—	2	1	no	—
1131	Q₈	—	86	2	no	—
1132	Q₈	—	86	2	no	—
1133	D₄	—	2	1	no	—
1134	D₄	—	2	1	no	—
1135	D₄	—	2	1	no	—
1136	D₄	—	2	1	no	—
1137	D₄	—	2	1	no	—
1138	D₄	—	2	1	no	—
1139	D₄	—	4	2	no	—
1140	D₄	—	4	2	no	—
1141	D₄	—	4	2	no	—
1142	D₄	—	4	2	no	—
1143	D₄	—	8	1	no	—
1144	D₄	—	43	4	no	—
1145	D₄	—	86	4	no	—
1146	D₄	—	86	4	no	—
1147	D₄	—	86	2	no	—
1148	D₄	—	86	4	no	—
1149	D₄	—	86	2	no	—
1150	D₄	—	86	2	no	—
1151	D₄	—	344	2	no	—
1152	D₄	—	344	2	no	—
1153	D₄	—	344	2	no	—
1154	D₄	—	344	2	no	—
1155	D₄	—	172	2	no	—
1156	D₄	—	172	2	no	—
1157	D₄	—	172	4	no	—
1158	D₄	—	172	4	no	—
1159	D₄	—	172	4	no	—
1160	D₄	—	172	4	no	—
1161	C₂×C₄	—	2	1	no	—
1162	C₂×C₄	—	2	1	no	—
1163	C₂×C₄	—	2	1	no	—
1164	C₂×C₄	—	2	1	no	—
1165	C₂×C₄	—	2	1	no	—
1166	C₂×C₄	—	4	1	no	—
1167	C₂×C₄	—	4	1	no	—
1168	C₂×C₄	—	4	2	no	—
1169	C₂×C₄	—	4	2	no	—
1170	C₂×C₄	—	4	2	no	—
1171	C₂×C₄	—	8	1	no	—
1172	C₂×C₄	—	8	1	no	—
1173	C₂×C₄	—	43	2	no	—
1174	C₂×C₄	—	43	2	no	—
1175	C₂×C₄	—	86	2	no	—
1176	C₂×C₄	—	86	2	no	—
1177	C₂×C₄	—	86	2	no	—
1178	C₂×C₄	—	86	2	no	—
1179	C₂×C₄	—	86	2	no	—
1180	C₂×C₄	—	86	2	no	—
1181	C₂×C₄	—	86	2	no	—
1182	C₂×C₄	—	344	2	no	—
1183	C₂×C₄	—	344	2	no	—
1184	C₂×C₄	—	344	2	no	—
1185	C₂×C₄	—	344	1	no	—
1186	C₂×C₄	—	344	1	no	—
1187	C₂×C₄	—	344	1	no	—
1188	C₂×C₄	—	172	4	no	—
1189	C₂×C₄	—	172	4	no	—
1190	C₂×C₄	—	172	4	no	—
1191	C₂×C₄	C₂×D₄×D₄₃	1	1	yes	characteristic
1192	C₂×C₄	C₂×D₄×D₄₃	1	1	yes	characteristic
1193	C₂×C₄	C₂×D₄×D₄₃	1	1	yes	characteristic
1194	C₂×C₄	C₂×D₄×D₄₃	1	1	yes	characteristic
1195	C₂×C₄	C₂×D₄×D₄₃	1	1	yes	characteristic
1196	C₂×C₄	#41×D₄₃	1	2	yes	—
1197	C₂×C₄	#13063370	1	2	yes	—
1198	C₂×C₄	C₂⁴×D₄₃	1	1	yes	characteristic
1199	C₈	—	2	1	no	—
1200	C₈	—	2	1	no	—
1201	C₈	—	2	1	no	—
1202	C₈	—	2	1	no	—
1203	C₈	—	86	2	no	—
1204	C₈	—	86	2	no	—
1205	C₂²	—	2	1	no	—
1206	C₂²	—	2	1	no	—
1207	C₂²	—	4	1	no	—
1208	C₂²	—	4	1	no	—
1209	C₂²	—	4	1	no	—
1210	C₂²	—	4	1	no	—
1211	C₂²	—	4	1	no	—
1212	C₂²	—	4	1	no	—
1213	C₂²	—	4	1	no	—
1214	C₂²	—	4	1	no	—
1215	C₂²	—	4	1	no	—
1216	C₂²	—	86	2	no	—
1217	C₂²	—	86	2	no	—
1218	C₂²	—	86	4	no	—
1219	C₂²	—	86	2	no	—
1220	C₂²	—	86	2	no	—
1221	C₂²	—	86	2	no	—
1222	C₂²	—	86	2	no	—
1223	C₂²	—	344	4	no	—
1224	C₂²	—	172	2	no	—
1225	C₂²	—	172	2	no	—
1226	C₂²	—	688	4	no	—
1227	C₂²	—	688	4	no	—
1228	C₂²	#14583546	1	2	yes	—
1229	C₂²	C₂²×D₄×D₄₃	1	1	yes	characteristic
1230	C₄	—	2	1	no	—
1231	C₄	—	2	1	no	—
1232	C₄	—	2	1	no	—
1233	C₄	—	2	1	no	—
1234	C₄	—	4	1	no	—
1235	C₄	—	4	1	no	—
1236	C₄	—	4	1	no	—
1237	C₄	—	4	1	no	—
1238	C₄	—	4	1	no	—
1239	C₄	—	86	2	no	—
1240	C₄	—	86	2	no	—
1241	C₄	—	172	2	no	—
1242	C₄	—	172	2	no	—
1243	C₄	—	172	2	no	—
1244	C₄	#14583546	1	2	yes	—
1245	C₄	C₂×#41×D₄₃	1	1	yes	characteristic
1246	C₄	C₂×#13063370	1	1	yes	characteristic
1247	C₂	—	2	2	no	—
1248	C₂	—	8	1	no	—
1249	C₂	—	8	1	no	—
1250	C₂	—	8	1	no	—
1251	C₂	—	172	2	no	—
1252	C₂	—	172	2	no	—
1253	C₂	—	172	4	no	—
1254	C₂	C₂×#14583546	1	1	yes	characteristic
1255	C₂	#19149364	1	1	yes	characteristic
1256	C₂	#19149372	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×#3035	C₂
socle	C₂²×C₄₃	C₂³×D₄
hypercenter	#3035	D₄₃
hypocenter	C₄₃	#61201
LCS	G ▷ C₂×C₄×C₄₃ ▷ C₂×C₄₃ ▷ C₄₃
UCS	C₁ ◁ C₂² ◁ C₂×C₄² ◁ #3035

Complements

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

N	H ≅ G/N	type
1. #19148517	C₂	semidirect
2. #19148357	C₂	semidirect
3. #19146818	C₂	semidirect
4. #19146803	C₂	semidirect
5. #19146743	C₂	semidirect
6. #19146698	C₂	semidirect
7. #19146623	C₂	semidirect
8. #19146578	C₂	semidirect
9. #19146452	C₂	semidirect
10. #19146437	C₂	semidirect
11. #19144995	C₂	semidirect
12. #19144582	C₂	semidirect
13. #19144571	C₂	semidirect
14. C₂×#14583200	C₂	semidirect
15. #19144261	C₂	semidirect
16. #19144253	C₂	semidirect
17. #19143895	C₂	semidirect
18. #19143895	C₂	semidirect
19. C₄×#13063350	C₂	semidirect
20. #19143338	C₂	semidirect
21. #19143117	C₂	semidirect
22. #19143117	C₂	semidirect
23. C₄₃×#3035	C₂	semidirect
27. C₂×#13063331	C₂²	semidirect
28. C₂×#13063331	C₂²	semidirect
29. #14583599	C₂²	semidirect
30. #14583599	C₂²	semidirect
33. #14583590	C₂²	semidirect
34. #14583590	C₂²	semidirect
47. #14583477	C₂²	semidirect
48. #14583477	C₂²	semidirect
53. C₂×#13063317	C₂²	semidirect
55. #14583379	C₂²	semidirect
56. #14583379	C₂²	semidirect
58. #14583267	C₂²	semidirect
59. #14583263	C₂²	semidirect
60. #14583253	C₂²	semidirect
61. #14583253	C₂²	semidirect
62. #14583239	C₂²	semidirect
63. #14583238	C₂²	semidirect
64. #14583233	C₂²	semidirect
65. #14583228	C₂²	semidirect
66. #14583222	C₂²	semidirect
67. #14583221	C₂²	semidirect
68. #14583216	C₂²	semidirect
69. #14583211	C₂²	semidirect
70. #14583200	C₂²	semidirect
71. #14583200	C₂²	semidirect
72. #14583200	C₂²	semidirect
73. #14583200	C₂²	semidirect
74. #14583154	C₂²	semidirect
75. #14583149	C₂²	semidirect
76. #14583142	C₂²	semidirect
77. #14583142	C₂²	semidirect
78. #14583137	C₂²	semidirect
79. #14583132	C₂²	semidirect
80. #14583125	C₂²	semidirect
81. #14583125	C₂²	semidirect
82. #14583060	C₂²	semidirect
83. #14583060	C₂²	semidirect
84. #14583048	C₂²	semidirect
85. #14583048	C₂²	semidirect
86. #14583043	C₂²	semidirect
87. #14583043	C₂²	semidirect
88. #14583031	C₂²	semidirect
89. #14583031	C₂²	semidirect
90. #14583009	C₂²	semidirect
91. #14582997	C₂²	semidirect
92. C₄×#10621884	C₂²	semidirect
93. C₄×#10621882	C₂²	semidirect
94. #14582976	C₂²	semidirect
95. #14582969	C₂²	semidirect
96. #14582969	C₂²	semidirect
97. #14582964	C₂²	semidirect
98. #14582942	C₂²	semidirect
99. C₂×#13063259	C₂²	semidirect
100. C₂×#13063257	C₂²	semidirect
102. #14582902	C₂²	semidirect
103. #14582902	C₂²	semidirect
104. #14582900	C₂²	semidirect
105. #14582900	C₂²	semidirect
106. #14582900	C₂²	semidirect
107. #14582900	C₂²	semidirect
108. #14582900	C₂²	semidirect
109. #14582899	C₂²	semidirect
110. #14582899	C₂²	semidirect
111. #14582894	C₂²	semidirect
112. #14582894	C₂²	semidirect
115. #102×D₄₃	C₂²	semidirect
116. #102×D₄₃	C₂²	semidirect
117. #14582865	C₂²	semidirect
118. #14582865	C₂²	semidirect
119. C₄×#10621877	C₂²	semidirect
120. C₂×#135×C₄₃	C₂²	semidirect
121. C₂×#135×C₄₃	C₂²	semidirect
123. C₄×#41×C₄₃	C₂²	semidirect
124. C₄₃×#464	C₂²	semidirect
125. C₄₃×#464	C₂²	semidirect
126. C₄₃×#463	C₂²	semidirect
127. C₄₃×#463	C₂²	semidirect
128. C₄₃×#462	C₂²	semidirect
129. C₄₃×#461	C₂²	semidirect
130. C₄₃×#460	C₂²	semidirect
131. C₄₃×#459	C₂²	semidirect
132. C₂×C₄⋊C₈×C₄₃	C₂²	semidirect
133. C₄₃×#416	C₂²	semidirect
134. C₄₃×#416	C₂²	semidirect
635. #3035	D₄₃	semidirect
655. C₂×#135	C₂×D₄₃	semidirect
656. C₂×#135	C₂×D₄₃	semidirect
688. C₄×#41	C₂×D₄₃	semidirect
714. #464	C₂×D₄₃	semidirect
715. #464	C₂×D₄₃	semidirect
716. #463	C₂×D₄₃	semidirect
717. #463	C₂×D₄₃	semidirect
718. #462	C₂×D₄₃	semidirect
719. #461	C₂×D₄₃	semidirect
720. #460	C₂×D₄₃	semidirect
721. #459	C₂×D₄₃	semidirect
741. C₂×C₄⋊C₈	C₂×D₄₃	semidirect
754. #416	C₂×D₄₃	semidirect
755. #416	C₂×D₄₃	semidirect
763. C₄₃	#61201	semidirect

Maximal subgroups

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

subgroup	index
#19148517	2
#19148357	2
#19146818	2
#19146803	2
#19146743	2
#19146698	2
#19146623	2
#19146578	2
#19146452	2
#19146437	2
#19144995	2
#19144582	2
#19144571	2
C₂×#14583200	2
#19144261	2
#19144253	2
#19143895	2
C₄×#13063350	2
#19143338	2
#19143117	2
C₄₃×#3035	2
#61201	43