Subgroups — #25973800

Order 11008.

2286 conjugacy classes of subgroups.

The subgroup lattice has 1298 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#19148228	C₂	1	1	yes	maximal, characteristic, complemented
2	#19146730	C₂	1	2	yes	maximal, complemented
3	#19146670	C₂	1	2	yes	maximal, complemented
4	#19146610	C₂	1	2	yes	maximal, complemented
5	#19146550	C₂	1	2	yes	maximal, complemented
6	#19146439	C₂	1	2	yes	maximal, complemented
7	#19146424	C₂	1	2	yes	maximal, complemented
8	#19146413	C₂	1	2	yes	maximal, complemented
9	#19146402	C₂	1	2	yes	maximal, complemented
10	#19144954	C₂	1	1	yes	maximal, characteristic, complemented
11	#19144553	C₂	1	1	yes	maximal, characteristic, complemented
12	#19144518	C₂	1	1	yes	maximal, characteristic, complemented
13	#19144420	C₂	1	1	yes	maximal, characteristic, complemented
14	#19144277	C₂	1	1	yes	maximal, characteristic, complemented
15	#19144173	C₂	1	1	yes	maximal, characteristic, complemented
16	#19144134	C₂	1	1	yes	maximal, characteristic, complemented
17	#19143896	C₂	1	1	yes	maximal, characteristic, complemented
18	#19143821	C₂	1	1	yes	maximal, characteristic, complemented
19	#19143423	C₂	1	1	yes	maximal, characteristic, complemented
20	#19143290	C₂	1	1	yes	maximal, characteristic, complemented
21	#19143118	C₂	1	1	yes	maximal, characteristic, complemented
22	C₂²×#13063245	C₂	1	1	yes	maximal, characteristic, complemented
23	C₄₃×#3492	C₂	1	1	yes	maximal, characteristic, complemented
24	C₂×#13063371	C₂²	1	1	yes	characteristic
25	C₂³×D₁₇₂	C₂²	1	1	yes	characteristic
26	C₂×#13063350	C₂²	1	1	yes	characteristic
27	C₂×#13063350	C₂²	1	1	yes	characteristic, complemented
28	C₂×#13063345	C₂²	1	1	yes	characteristic, complemented
29	C₂×#13063332	C₂²	1	1	yes	characteristic, complemented
30	C₂³×C₄₃⋊C₈	C₂²	1	1	yes	characteristic, complemented
31	#14583545	C₂²	1	2	yes	—
32	#14583545	C₂²	1	2	yes	—
33	#14583540	—	2	1	no	—
34	#14583540	—	2	1	no	—
35	D₄×D₁₇₂	C₂²	1	2	yes	—
36	D₄×D₁₇₂	C₂²	1	2	yes	—
37	#14583533	—	2	1	no	—
38	#14583533	—	2	1	no	—
39	#14583468	C₂²	1	1	yes	characteristic
40	#14583463	C₂²	1	1	yes	characteristic
41	#14583460	—	2	2	no	—
42	#14583410	C₂²	1	1	yes	characteristic
43	#120×D₄₃	—	2	2	no	—
44	#14583373	C₂²	1	1	yes	characteristic
45	#14583265	C₂²	1	2	yes	complemented
46	#14583261	C₂²	1	2	yes	complemented
47	#14583256	C₂²	1	2	yes	complemented
48	#14583247	C₂²	1	2	yes	complemented
49	#14583234	C₂²	1	2	yes	complemented
50	#14583229	C₂²	1	2	yes	complemented
51	#14583223	C₂²	1	2	yes	complemented
52	#14583223	C₂²	1	2	yes	complemented
53	#14583217	C₂²	1	2	yes	complemented
54	#14583217	C₂²	1	2	yes	complemented
55	#14583212	C₂²	1	2	yes	complemented
56	#14583212	C₂²	1	2	yes	complemented
57	#14583196	C₂²	1	2	yes	complemented
58	#14583196	C₂²	1	2	yes	complemented
59	#14583186	C₂²	1	2	yes	complemented
60	#14583176	C₂²	1	2	yes	complemented
61	#14583150	C₂²	1	2	yes	complemented
62	#14583147	C₂²	1	2	yes	complemented
63	#14583138	C₂²	1	1	yes	characteristic, complemented
64	#14583138	C₂²	1	1	yes	characteristic, complemented
65	#14583133	C₂²	1	1	yes	characteristic, complemented
66	#14583133	C₂²	1	1	yes	characteristic, complemented
67	#14583133	C₂²	1	2	yes	complemented
68	#14583130	C₂²	1	1	yes	characteristic, complemented
69	#14583130	C₂²	1	1	yes	characteristic, complemented
70	#14583130	C₂²	1	2	yes	complemented
71	#14583126	C₂²	1	1	yes	characteristic, complemented
72	#14583126	C₂²	1	1	yes	characteristic, complemented
73	#14583121	C₂²	1	2	yes	complemented
74	#14583114	C₂²	1	2	yes	complemented
75	#14583099	C₂²	1	2	yes	complemented
76	#14583094	C₂²	1	2	yes	complemented
77	#14583059	C₂²	1	2	yes	complemented
78	#14583049	C₂²	1	2	yes	complemented
79	#14583049	C₂²	1	2	yes	complemented
80	#14583049	C₂²	1	2	yes	complemented
81	#14583042	C₂²	1	2	yes	complemented
82	#14583032	C₂²	1	2	yes	complemented
83	#14583032	C₂²	1	2	yes	complemented
84	#14583032	C₂²	1	2	yes	complemented
85	#14583009	C₂²	1	2	yes	complemented
86	#14582997	C₂²	1	2	yes	complemented
87	C₄×#10621884	C₂²	1	2	yes	complemented
88	C₄×#10621882	C₂²	1	2	yes	complemented
89	#14582971	C₂²	1	2	yes	complemented
90	#14582971	C₂²	1	2	yes	complemented
91	D₄×C₄₃⋊C₈	C₂²	1	2	yes	complemented
92	D₄×C₄₃⋊C₈	C₂²	1	2	yes	complemented
93	#14582939	C₂²	1	1	yes	characteristic, complemented
94	#14582939	C₂²	1	1	yes	characteristic, complemented
95	#14582935	C₂²	1	1	yes	characteristic, complemented
96	#14582926	C₂²	1	1	yes	characteristic, complemented
97	#14582903	C₂²	1	1	yes	characteristic
98	#14582903	C₂²	1	1	yes	characteristic, complemented
99	#14582903	C₂²	1	2	yes	complemented
100	#14582898	C₂²	1	1	yes	characteristic, complemented
101	#14582898	C₂²	1	1	yes	characteristic, complemented
102	#14582898	C₂²	1	2	yes	complemented
103	#14582895	C₂²	1	1	yes	characteristic, complemented
104	#14582893	C₂²	1	1	yes	characteristic, complemented
105	#14582893	C₂²	1	2	yes	complemented
106	C₂×#13063245	C₂²	1	1	yes	characteristic
107	C₂×#13063245	C₂²	1	1	yes	characteristic
108	C₂×#13063245	C₂²	1	2	yes	complemented
109	C₂×#13063245	C₂²	1	1	yes	characteristic, complemented
110	C₂×#13063245	C₂²	1	1	yes	characteristic, complemented
111	C₂×#13063245	C₂²	1	2	yes	complemented
112	C₂×#13063245	C₂²	1	2	yes	complemented
113	C₂×#13063245	C₂²	1	2	yes	complemented
114	C₂×#13063245	C₂²	1	2	yes	complemented
115	#14582866	C₂²	1	1	yes	characteristic, complemented
116	#14582863	C₂²	1	1	yes	characteristic, complemented
117	#14582855	C₂²	1	1	yes	characteristic, complemented
118	C₄₃×#554	—	2	1	no	—
119	C₄₃×#554	C₂²	1	2	yes	complemented
120	C₄₃×#553	—	2	1	no	—
121	C₄₃×#553	C₂²	1	2	yes	complemented
122	C₄₃×#552	—	2	1	no	—
123	C₄₃×#552	C₂²	1	2	yes	complemented
124	C₄₃×#547	—	2	1	no	—
125	C₄₃×#547	C₂²	1	2	yes	complemented
126	C₄₃×#544	C₂²	1	1	yes	characteristic, complemented
127	C₄₃×#539	—	2	2	no	—
128	C₄₃×#537	C₂²	1	1	yes	characteristic, complemented
129	C₄₃×#525	—	2	2	no	—
130	C₄₃×#525	C₂²	1	1	yes	characteristic
131	C₄₃×#525	C₂²	1	1	yes	characteristic, complemented
132	C₄₃×#520	C₂²	1	1	yes	characteristic, complemented
133	C₄₃×#520	C₂²	1	1	yes	characteristic, complemented
134	C₂²×C₄⋊C₄×C₄₃	C₂²	1	1	yes	characteristic, complemented
135	C₂⁴×D₄₃	—	2	1	no	—
136	#13063371	—	2	4	no	—
137	#13063371	—	4	2	no	—
138	C₂×#10621902	—	2	1	no	—
139	C₂×#10621898	C₂³	1	1	yes	characteristic
140	C₂×#10621898	C₂³	1	2	yes	—
141	C₂²×D₁₇₂	—	2	4	no	—
142	C₂²×D₁₇₂	—	2	1	no	—
143	C₂²×D₁₇₂	—	2	1	no	—
144	C₂²×D₁₇₂	—	2	1	no	—
145	C₂²×D₁₇₂	—	4	2	no	—
146	C₂²×D₁₇₂	C₂³	1	1	yes	characteristic
147	C₂²×D₁₇₂	C₂³	1	2	yes	—
148	C₂²×D₁₇₂	C₂³	1	2	yes	—
149	C₂²×D₁₇₂	C₂³	1	2	yes	—
150	C₂²×D₁₇₂	C₂³	1	1	yes	characteristic
151	C₂×D₄×D₄₃	—	2	2	no	—
152	C₂×D₄×D₄₃	—	2	1	no	—
153	C₂×D₄×D₄₃	—	2	2	no	—
154	C₂×D₄×D₄₃	—	2	2	no	—
155	#13063350	—	2	4	no	—
156	#13063350	—	4	2	no	—
157	#13063345	—	4	2	no	—
158	C₂×#10621885	C₂³	1	1	yes	characteristic, complemented
159	C₂×#10621883	C₂³	1	1	yes	characteristic, complemented
160	C₂×#10621884	C₂³	1	2	yes	—
161	C₂×#10621884	C₂³	1	2	yes	—
162	C₂×#10621884	C₂³	1	1	yes	characteristic, complemented
163	C₂×#10621882	C₂³	1	2	yes	—
164	C₂×#10621882	C₂³	1	2	yes	—
165	C₂×#10621882	C₂³	1	1	yes	characteristic, complemented
166	#13063332	—	4	2	no	—
167	C₂×#10621877	C₂³	1	1	yes	characteristic
168	C₂×#10621877	C₂³	1	1	yes	characteristic
169	C₂×#10621877	C₂³	1	2	yes	complemented
170	C₂²×C₄₃⋊C₈	—	4	2	no	—
171	C₂²×C₄₃⋊C₈	C₂³	1	1	yes	characteristic
172	C₂²×C₄₃⋊C₈	C₂³	1	1	yes	characteristic
173	C₂²×C₄₃⋊C₈	C₂³	1	1	yes	characteristic
174	C₂²×C₄₃⋊C₈	C₂³	1	1	yes	characteristic
175	C₂²×C₄₃⋊C₈	C₂³	1	1	yes	characteristic
176	C₂²×C₄₃⋊C₈	C₂³	1	1	yes	characteristic
177	C₂²×C₄₃⋊C₈	C₂³	1	2	yes	complemented
178	#13063322	C₂³	1	2	yes	—
179	#13063321	—	2	1	no	—
180	#13063314	—	2	1	no	—
181	#13063313	C₂³	1	2	yes	—
182	#13063310	—	2	2	no	—
183	#13063310	—	2	2	no	—
184	#13063308	—	2	1	no	—
185	#13063304	C₂³	1	1	yes	characteristic
186	#13063304	C₂³	1	1	yes	characteristic
187	#13063300	—	2	2	no	—
188	#13063300	—	2	2	no	—
189	#13063300	—	2	1	no	—
190	#13063300	—	2	1	no	—
191	#13063299	C₂³	1	1	yes	characteristic
192	#13063299	C₂³	1	1	yes	characteristic
193	#13063299	C₂³	1	2	yes	—
194	#13063299	C₂³	1	2	yes	—
195	#13063298	—	2	2	no	—
196	#13063298	—	2	2	no	—
197	#13063295	—	2	2	no	—
198	#13063295	—	2	2	no	—
199	#13063295	—	2	2	no	—
200	#13063295	—	2	2	no	—
201	#13063295	—	2	2	no	—
202	#13063294	—	2	1	no	—
203	#13063293	—	2	2	no	—
204	#13063293	—	2	2	no	—
205	#13063293	—	2	2	no	—
206	C₄×D₁₇₂	C₂³	1	2	yes	—
207	C₄×D₁₇₂	C₂³	1	2	yes	—
208	#13063287	—	2	1	no	—
209	#13063287	—	2	1	no	—
210	C₄×C₂²⋊D₄₃	—	2	1	no	—
211	C₄×C₂²⋊D₄₃	—	2	1	no	—
212	#13063284	C₂³	1	1	yes	characteristic
213	C₂²⋊C₄×D₄₃	—	2	2	no	—
214	C₂²⋊C₄×D₄₃	—	2	2	no	—
215	C₂²⋊C₄×D₄₃	—	2	2	no	—
216	#13063258	C₂³	1	1	yes	characteristic, complemented
217	#13063258	C₂³	1	1	yes	characteristic, complemented
218	#13063258	C₂³	1	2	yes	complemented
219	#13063258	C₂³	1	2	yes	complemented
220	#13063256	C₂³	1	1	yes	characteristic, complemented
221	#13063256	C₂³	1	1	yes	characteristic, complemented
222	#13063256	C₂³	1	2	yes	complemented
223	#13063256	C₂³	1	2	yes	complemented
224	C₄⋊(C₄₃⋊C₈)	C₂³	1	2	yes	complemented
225	C₄⋊(C₄₃⋊C₈)	C₂³	1	2	yes	complemented
226	#13063249	C₂³	1	1	yes	characteristic, complemented
227	#13063249	C₂³	1	1	yes	characteristic, complemented
228	#13063248	C₂³	1	2	yes	complemented
229	#13063248	C₂³	1	2	yes	complemented
230	#13063248	C₂³	1	1	yes	characteristic, complemented
231	#13063248	C₂³	1	1	yes	characteristic, complemented
232	#13063246	C₂³	1	1	yes	characteristic, complemented
233	#13063246	C₂³	1	1	yes	characteristic, complemented
234	#13063245	C₂³	1	2	yes	—
235	#13063245	C₂³	1	2	yes	—
236	#13063245	C₂³	1	2	yes	—
237	#13063245	C₂³	1	2	yes	—
238	#13063245	C₂³	1	2	yes	—
239	#13063245	C₂³	1	2	yes	—
240	#13063245	C₂³	1	2	yes	—
241	#13063245	C₂³	1	2	yes	—
242	#13063245	C₂³	1	2	yes	—
243	#13063245	C₂³	1	2	yes	—
244	#13063245	C₂³	1	2	yes	—
245	#13063245	C₂³	1	2	yes	—
246	#13063245	C₂³	1	2	yes	complemented
247	#13063245	C₂³	1	2	yes	complemented
248	#13063245	C₂³	1	1	yes	characteristic, complemented
249	#13063245	C₂³	1	1	yes	characteristic, complemented
250	C₂²⋊(C₄₃⋊C₈)	C₂³	1	2	yes	—
251	C₂²⋊(C₄₃⋊C₈)	C₂³	1	2	yes	—
252	C₂²⋊(C₄₃⋊C₈)	C₂³	1	2	yes	complemented
253	C₂²⋊(C₄₃⋊C₈)	C₂³	1	2	yes	complemented
254	#13063236	C₂³	1	2	yes	complemented
255	C₄×C₄₃⋊C₈	C₂³	1	2	yes	complemented
256	C₂×#41×C₄₃	—	2	2	no	—
257	C₂×#41×C₄₃	C₂³	1	1	yes	characteristic
258	C₂×#41×C₄₃	C₂³	1	1	yes	characteristic
259	C₂³×C₄×C₄₃	—	2	1	no	—
260	C₂³×C₄×C₄₃	C₂³	1	1	yes	characteristic
261	C₄⋊Q₈×C₄₃	—	2	1	no	—
262	C₄⋊Q₈×C₄₃	C₂³	1	2	yes	complemented
263	#126×C₄₃	—	2	2	no	—
264	#126×C₄₃	—	2	2	no	—
265	#125×C₄₃	—	2	2	no	—
266	#125×C₄₃	—	2	2	no	—
267	#125×C₄₃	—	2	1	no	—
268	#125×C₄₃	C₂³	1	2	yes	complemented
269	#123×C₄₃	—	2	2	no	—
270	#123×C₄₃	—	2	1	no	—
271	#123×C₄₃	—	2	2	no	—
272	#123×C₄₃	—	2	2	no	—
273	#123×C₄₃	—	2	2	no	—
274	#123×C₄₃	D₄	1	2	yes	—
275	C₂²⋊Q₈×C₄₃	—	2	1	no	—
276	C₂²⋊Q₈×C₄₃	—	2	2	no	—
277	C₂²⋊Q₈×C₄₃	—	2	2	no	—
278	C₂²⋊Q₈×C₄₃	—	2	2	no	—
279	C₂²⋊Q₈×C₄₃	—	2	2	no	—
280	C₂²⋊Q₈×C₄₃	D₄	1	1	yes	characteristic
281	C₂²⋊Q₈×C₄₃	D₄	1	1	yes	characteristic
282	C₂²⋊Q₈×C₄₃	C₂³	1	1	yes	characteristic
283	C₂²⋊Q₈×C₄₃	C₂³	1	1	yes	characteristic
284	C₂²⋊Q₈×C₄₃	C₂³	1	2	yes	complemented
285	#121×C₄₃	—	2	2	no	—
286	#121×C₄₃	—	2	2	no	—
287	#121×C₄₃	—	2	1	no	—
288	#121×C₄₃	D₄	1	1	yes	characteristic
289	#121×C₄₃	D₄	1	1	yes	characteristic
290	#121×C₄₃	C₂³	1	1	yes	characteristic
291	#121×C₄₃	C₂³	1	1	yes	characteristic
292	#121×C₄₃	C₂³	1	2	yes	complemented
293	#120×C₄₃	—	2	1	no	—
294	#120×C₄₃	D₄	1	2	yes	—
295	C₄×Q₈×C₄₃	—	2	1	no	—
296	C₄×Q₈×C₄₃	C₂³	1	2	yes	complemented
297	C₄×D₄×C₄₃	—	2	2	no	—
298	C₄×D₄×C₄₃	—	2	1	no	—
299	C₄×D₄×C₄₃	—	2	2	no	—
300	C₄×D₄×C₄₃	—	2	1	no	—
301	C₄×D₄×C₄₃	—	2	1	no	—
302	C₄×D₄×C₄₃	—	2	2	no	—
303	C₄×D₄×C₄₃	—	2	2	no	—
304	C₄×D₄×C₄₃	C₂³	1	2	yes	—
305	C₄×D₄×C₄₃	C₂³	1	2	yes	—
306	C₄×D₄×C₄₃	C₂³	1	2	yes	complemented
307	#117×C₄₃	—	2	1	no	—
308	#117×C₄₃	—	2	2	no	—
309	#117×C₄₃	C₂³	1	1	yes	characteristic
310	#117×C₄₃	C₂³	1	1	yes	characteristic
311	#117×C₄₃	C₂³	1	2	yes	complemented
312	C₂×C₄⋊C₄×C₄₃	—	2	1	no	—
313	C₂×C₄⋊C₄×C₄₃	—	2	1	no	—
314	C₂×C₄⋊C₄×C₄₃	—	2	1	no	—
315	C₂×C₄⋊C₄×C₄₃	—	2	1	no	—
316	C₂×C₄⋊C₄×C₄₃	C₂³	1	1	yes	characteristic
317	C₂×C₄⋊C₄×C₄₃	C₂³	1	1	yes	characteristic
318	C₂×C₄⋊C₄×C₄₃	C₂³	1	2	yes	—
319	C₂×C₄⋊C₄×C₄₃	C₂³	1	2	yes	—
320	C₂×C₄⋊C₄×C₄₃	C₂³	1	2	yes	complemented
321	C₂⁴×C₄₃	C₂×D₄	1	1	yes	characteristic
322	C₂³×D₄₃	—	2	1	no	—
323	C₂³×D₄₃	—	2	2	no	—
324	C₂³×D₄₃	—	2	2	no	—
325	C₂³×D₄₃	—	2	1	no	—
326	C₂³×D₄₃	—	2	2	no	—
327	C₂³×D₄₃	—	4	4	no	—
328	C₂³×D₄₃	—	8	2	no	—
329	C₂³×D₄₃	—	8	2	no	—
330	#41×C₄₃	—	2	2	no	—
331	#41×C₄₃	—	2	2	no	—
332	#41×C₄₃	—	2	2	no	—
333	#41×C₄₃	—	2	2	no	—
334	#41×C₄₃	—	8	4	no	—
335	C₂×Q₈×C₄₃	—	2	2	no	—
336	C₂×Q₈×C₄₃	C₂×D₄	1	1	yes	characteristic
337	C₂×Q₈×C₄₃	C₂⁴	1	1	yes	characteristic
338	C₂×D₄×C₄₃	—	2	1	no	—
339	C₂×D₄×C₄₃	—	2	1	no	—
340	C₂×D₄×C₄₃	—	2	1	no	—
341	C₂×D₄×C₄₃	—	2	2	no	—
342	C₂×D₄×C₄₃	C₂×D₄	1	2	yes	—
343	C₂×D₄×C₄₃	C₂×D₄	1	2	yes	—
344	C₂×D₄×C₄₃	C₂×D₄	1	1	yes	characteristic
345	C₂×D₄×C₄₃	C₂×D₄	1	2	yes	—
346	C₂×D₄×C₄₃	C₂⁴	1	1	yes	characteristic
347	C₂²×C₄×C₄₃	—	2	2	no	—
348	C₂²×C₄×C₄₃	—	2	2	no	—
349	C₂²×C₄×C₄₃	—	2	1	no	—
350	C₂²×C₄×C₄₃	—	2	2	no	—
351	C₂²×C₄×C₄₃	—	2	2	no	—
352	C₂²×C₄×C₄₃	—	2	1	no	—
353	C₂²×C₄×C₄₃	—	2	2	no	—
354	C₂²×C₄×C₄₃	—	2	1	no	—
355	C₂²×C₄×C₄₃	—	2	2	no	—
356	C₂²×C₄×C₄₃	—	8	2	no	—
357	C₂²×C₄×C₄₃	C₂×D₄	1	1	yes	characteristic
358	C₂²×C₄×C₄₃	C₂×D₄	1	1	yes	characteristic
359	C₂²×C₄×C₄₃	C₂×D₄	1	1	yes	characteristic
360	C₂²×C₄×C₄₃	C₂⁴	1	1	yes	characteristic
361	C₂²×C₄×C₄₃	C₂⁴	1	1	yes	characteristic
362	C₂²×C₄×C₄₃	C₂⁴	1	2	yes	—
363	C₂²×C₄×C₄₃	C₂⁴	1	1	yes	characteristic
364	C₂×C₂²⋊D₄₃	—	2	1	no	—
365	C₂×C₂²⋊D₄₃	—	2	1	no	—
366	C₂×C₂²⋊D₄₃	—	2	2	no	—
367	C₂×C₂²⋊D₄₃	—	2	1	no	—
368	C₂×C₂²⋊D₄₃	—	2	2	no	—
369	C₂×C₂²⋊D₄₃	—	2	2	no	—
370	#10621902	—	4	4	no	—
371	D₄×D₄₃	—	4	8	no	—
372	D₄×D₄₃	—	4	4	no	—
373	D₄×D₄₃	—	8	4	no	—
374	D₄×D₄₃	—	8	4	no	—
375	#10621898	—	2	2	no	—
376	#10621898	—	2	2	no	—
377	#10621898	—	2	4	no	—
378	#10621898	—	4	2	no	—
379	C₂×D₁₇₂	—	2	1	no	—
380	C₂×D₁₇₂	—	2	2	no	—
381	C₂×D₁₇₂	—	2	2	no	—
382	C₂×D₁₇₂	—	2	2	no	—
383	C₂×D₁₇₂	—	2	2	no	—
384	C₂×D₁₇₂	—	2	1	no	—
385	C₂×D₁₇₂	—	2	2	no	—
386	C₂×D₁₇₂	—	2	2	no	—
387	C₂×D₁₇₂	—	2	2	no	—
388	C₂×D₁₇₂	—	2	2	no	—
389	C₂×D₁₇₂	—	2	4	no	—
390	C₂×D₁₇₂	—	2	4	no	—
391	C₂×D₁₇₂	—	2	4	no	—
392	C₂×D₁₇₂	—	4	4	no	—
393	C₂×D₁₇₂	—	4	2	no	—
394	C₂×D₁₇₂	—	4	2	no	—
395	C₂×D₁₇₂	—	4	2	no	—
396	C₂×D₁₇₂	—	4	4	no	—
397	C₂×D₁₇₂	—	4	4	no	—
398	C₂×D₁₇₂	#41	1	4	yes	complemented
399	C₂×D₁₇₂	C₂⁴	1	2	yes	—
400	C₂×D₁₇₂	C₂⁴	1	1	yes	characteristic
401	C₂×D₁₇₂	C₂⁴	1	2	yes	—
402	C₂×C₄×D₄₃	—	2	2	no	—
403	C₂×C₄×D₄₃	—	2	1	no	—
404	C₂×C₄×D₄₃	—	2	2	no	—
405	C₂×C₄×D₄₃	—	2	2	no	—
406	C₂×Dic₈₆	C₂⁴	1	1	yes	characteristic
407	C₄⋊C₄×C₄₃	—	2	1	no	—
408	C₄⋊C₄×C₄₃	—	2	1	no	—
409	C₄⋊C₄×C₄₃	—	2	2	no	—
410	C₄⋊C₄×C₄₃	—	2	2	no	—
411	C₄⋊C₄×C₄₃	—	2	2	no	—
412	C₄⋊C₄×C₄₃	—	2	2	no	—
413	C₄⋊C₄×C₄₃	—	2	2	no	—
414	C₄⋊C₄×C₄₃	—	2	2	no	—
415	C₄⋊C₄×C₄₃	—	2	1	no	—
416	C₄⋊C₄×C₄₃	—	2	2	no	—
417	C₄⋊C₄×C₄₃	—	2	2	no	—
418	C₄⋊C₄×C₄₃	—	2	1	no	—
419	C₄⋊C₄×C₄₃	C₂×D₄	1	1	yes	characteristic
420	C₄⋊C₄×C₄₃	C₂×D₄	1	1	yes	characteristic
421	C₄⋊C₄×C₄₃	C₂×D₄	1	2	yes	—
422	C₄⋊C₄×C₄₃	C₂×D₄	1	2	yes	—
423	C₄⋊C₄×C₄₃	C₂⁴	1	2	yes	—
424	C₄⋊C₄×C₄₃	C₂⁴	1	2	yes	—
425	C₄⋊C₄×C₄₃	C₂⁴	1	1	yes	characteristic
426	C₄⋊C₄×C₄₃	C₂⁴	1	1	yes	characteristic
427	C₂²⋊C₄×C₄₃	—	2	2	no	—
428	C₂²⋊C₄×C₄₃	—	2	2	no	—
429	C₂²⋊C₄×C₄₃	—	2	1	no	—
430	C₂²⋊C₄×C₄₃	—	2	1	no	—
431	C₂²⋊C₄×C₄₃	—	2	1	no	—
432	C₂²⋊C₄×C₄₃	—	2	1	no	—
433	C₂²⋊C₄×C₄₃	—	2	2	no	—
434	C₂²⋊C₄×C₄₃	—	2	1	no	—
435	C₂²⋊C₄×C₄₃	—	2	2	no	—
436	C₂²⋊C₄×C₄₃	C₂×D₄	1	2	yes	—
437	C₂²⋊C₄×C₄₃	C₂×D₄	1	2	yes	—
438	C₂²⋊C₄×C₄₃	C₂×D₄	1	2	yes	—
439	C₂²⋊C₄×C₄₃	C₂×D₄	1	2	yes	—
440	C₂²⋊C₄×C₄₃	C₂×D₄	1	2	yes	—
441	C₄²×C₄₃	—	2	2	no	—
442	C₄²×C₄₃	—	2	2	no	—
443	C₄²×C₄₃	—	2	1	no	—
444	C₄²×C₄₃	C₂⁴	1	2	yes	—
445	C₂²⋊Dic₄₃	—	2	1	no	—
446	C₂²⋊Dic₄₃	—	2	1	no	—
447	C₂²⋊Dic₄₃	—	2	1	no	—
448	#10621885	—	4	1	no	—
449	#10621884	—	2	4	no	—
450	#10621884	—	4	2	no	—
451	#10621884	—	4	1	no	—
452	#10621883	—	4	1	no	—
453	#10621882	—	2	4	no	—
454	#10621882	—	4	2	no	—
455	#10621882	—	4	1	no	—
456	(C₂×D₄₃)⋊C₄	—	2	2	no	—
457	(C₂×D₄₃)⋊C₄	—	2	2	no	—
458	(C₂×D₄₃)⋊C₄	—	2	2	no	—
459	(C₂×D₄₃)⋊C₄	—	2	2	no	—
460	(C₂×D₄₃)⋊C₄	—	2	2	no	—
461	(C₂×D₄₃)⋊C₄	—	2	2	no	—
462	(C₂×D₄₃)⋊C₄	—	2	1	no	—
463	(C₂×D₄₃)⋊C₄	—	2	1	no	—
464	C₄⋊Dic₄₃	C₂⁴	1	1	yes	characteristic
465	C₄⋊Dic₄₃	C₂⁴	1	1	yes	characteristic
466	Dic₄₃⋊C₄	—	2	1	no	—
467	Dic₄₃⋊C₄	—	2	1	no	—
468	C₄×Dic₄₃	—	2	1	no	—
469	#10621877	—	2	2	no	—
470	#10621877	—	2	2	no	—
471	#10621877	—	4	2	no	—
472	C₂×C₄₃⋊C₈	—	2	2	no	—
473	C₂×C₄₃⋊C₈	—	2	2	no	—
474	C₂×C₄₃⋊C₈	—	4	1	no	—
475	C₂×C₄₃⋊C₈	—	4	1	no	—
476	C₂×C₄₃⋊C₈	—	4	1	no	—
477	C₂×C₄₃⋊C₈	—	4	1	no	—
478	C₂×C₄₃⋊C₈	—	4	2	no	—
479	C₂×C₄₃⋊C₈	C₂⁴	1	1	yes	characteristic
480	C₂×C₄₃⋊C₈	C₂⁴	1	2	yes	—
481	C₂×C₄₃⋊C₈	C₂⁴	1	1	yes	characteristic
482	C₂×C₄₃⋊C₈	C₂⁴	1	2	yes	—
483	C₂×C₄₃⋊C₈	C₂⁴	1	1	yes	characteristic
484	C₂×C₄₃⋊C₈	C₂⁴	1	1	yes	characteristic
485	C₂³×C₄₃	—	2	2	no	—
486	C₂³×C₄₃	—	2	2	no	—
487	C₂³×C₄₃	—	2	2	no	—
488	C₂³×C₄₃	—	2	1	no	—
489	C₂³×C₄₃	C₂²×D₄	1	2	yes	—
490	C₂³×C₄₃	C₂²×D₄	1	1	yes	characteristic
491	C₂³×C₄₃	C₂²×D₄	1	1	yes	characteristic
492	C₂³×C₄₃	C₂²×D₄	1	1	yes	characteristic
493	C₂²×D₄₃	—	2	2	no	—
494	C₂²×D₄₃	—	2	4	no	—
495	C₂²×D₄₃	—	2	2	no	—
496	C₂²×D₄₃	—	2	1	no	—
497	C₂²×D₄₃	—	4	4	no	—
498	C₂²×D₄₃	—	4	4	no	—
499	C₂²×D₄₃	—	4	4	no	—
500	C₂²×D₄₃	—	4	2	no	—
501	C₂²×D₄₃	—	4	4	no	—
502	C₂²×D₄₃	—	4	4	no	—
503	C₂²×D₄₃	—	8	1	no	—
504	C₂²×D₄₃	—	8	2	no	—
505	C₂²×D₄₃	—	8	1	no	—
506	C₂²×D₄₃	—	8	2	no	—
507	C₂²×D₄₃	—	8	1	no	—
508	C₂²×D₄₃	—	8	1	no	—
509	C₂²×D₄₃	—	8	2	no	—
510	C₂²×D₄₃	—	8	2	no	—
511	C₂²×D₄₃	—	8	16	no	—
512	Q₈×C₄₃	—	2	2	no	—
513	Q₈×C₄₃	—	2	1	no	—
514	Q₈×C₄₃	—	2	1	no	—
515	Q₈×C₄₃	—	8	2	no	—
516	D₄×C₄₃	—	2	4	no	—
517	D₄×C₄₃	—	2	4	no	—
518	D₄×C₄₃	—	2	4	no	—
519	D₄×C₄₃	—	2	2	no	—
520	D₄×C₄₃	—	2	1	no	—
521	D₄×C₄₃	—	2	1	no	—
522	D₄×C₄₃	—	4	2	no	—
523	D₄×C₄₃	—	4	2	no	—
524	D₄×C₄₃	—	4	2	no	—
525	D₄×C₄₃	—	8	2	no	—
526	C₂×C₄×C₄₃	—	2	2	no	—
527	C₂×C₄×C₄₃	—	2	2	no	—
528	C₂×C₄×C₄₃	—	2	2	no	—
529	C₂×C₄×C₄₃	—	2	1	no	—
530	C₂×C₄×C₄₃	—	2	1	no	—
531	C₂×C₄×C₄₃	—	2	2	no	—
532	C₂×C₄×C₄₃	—	2	1	no	—
533	C₂×C₄×C₄₃	—	2	1	no	—
534	C₂×C₄×C₄₃	—	2	2	no	—
535	C₂×C₄×C₄₃	—	2	1	no	—
536	C₂×C₄×C₄₃	—	2	1	no	—
537	C₂×C₄×C₄₃	—	2	2	no	—
538	C₂×C₄×C₄₃	—	2	1	no	—
539	C₂×C₄×C₄₃	—	2	2	no	—
540	C₂×C₄×C₄₃	—	4	4	no	—
541	C₂×C₄×C₄₃	—	4	2	no	—
542	C₂×C₄×C₄₃	—	8	2	no	—
543	C₂×C₄×C₄₃	—	8	1	no	—
544	C₂×C₄×C₄₃	—	8	2	no	—
545	C₂×C₄×C₄₃	—	8	1	no	—
546	C₂×C₄×C₄₃	—	8	2	no	—
547	C₂×C₄×C₄₃	C₂²×D₄	1	1	yes	characteristic
548	C₂×C₄×C₄₃	C₂²×D₄	1	1	yes	characteristic
549	C₂×C₄×C₄₃	C₂²×D₄	1	2	yes	—
550	C₂×C₄×C₄₃	C₂²×D₄	1	2	yes	—
551	C₂×C₄×C₄₃	C₂²×D₄	1	2	yes	—
552	C₂×C₄×C₄₃	C₂²×D₄	1	1	yes	characteristic
553	C₂×C₄×C₄₃	C₂×#41	1	2	yes	—
554	C₂×C₄×C₄₃	H(5,𝔽₂)	1	2	yes	—
555	C₂×C₄×C₄₃	C₂⁵	1	1	yes	characteristic
556	C₂²⋊D₄₃	—	4	4	no	—
557	C₂²⋊D₄₃	—	4	2	no	—
558	C₂²⋊D₄₃	—	4	2	no	—
559	C₂²⋊D₄₃	—	4	2	no	—
560	C₂²⋊D₄₃	—	8	2	no	—
561	C₂²⋊D₄₃	—	8	2	no	—
562	C₂×Dic₄₃	—	2	1	no	—
563	C₂×Dic₄₃	—	2	1	no	—
564	C₂×Dic₄₃	—	2	1	no	—
565	D₁₇₂	—	2	4	no	—
566	D₁₇₂	—	2	2	no	—
567	D₁₇₂	—	2	1	no	—
568	D₁₇₂	—	2	2	no	—
569	D₁₇₂	—	2	2	no	—
570	D₁₇₂	—	2	1	no	—
571	D₁₇₂	—	4	4	no	—
572	D₁₇₂	—	4	4	no	—
573	D₁₇₂	—	4	4	no	—
574	D₁₇₂	—	4	2	no	—
575	D₁₇₂	—	8	2	no	—
576	D₁₇₂	—	8	2	no	—
577	D₁₇₂	C₂×#41	1	4	yes	—
578	C₄×D₄₃	—	4	4	no	—
579	C₄×D₄₃	—	4	2	no	—
580	C₄×D₄₃	—	8	2	no	—
581	C₄×D₄₃	—	8	2	no	—
582	Dic₈₆	—	2	1	no	—
583	Dic₈₆	—	2	1	no	—
584	C₄₃⋊C₈	—	2	2	no	—
585	C₄₃⋊C₈	—	2	1	no	—
586	C₄₃⋊C₈	—	2	1	no	—
587	C₄₃⋊C₈	—	2	1	no	—
588	C₄₃⋊C₈	—	2	1	no	—
589	C₄₃⋊C₈	—	2	2	no	—
590	#61167	—	43	1	no	maximal, Sylow
591	C₂²×C₄₃	—	2	8	no	—
592	C₂²×C₄₃	—	2	1	no	—
593	C₂²×C₄₃	—	2	1	no	—
594	C₂²×C₄₃	—	2	1	no	—
595	C₂²×C₄₃	—	2	1	no	—
596	C₂²×C₄₃	—	2	1	no	—
597	C₂²×C₄₃	—	2	1	no	—
598	C₂²×C₄₃	—	2	2	no	—
599	C₂²×C₄₃	—	2	2	no	—
600	C₂²×C₄₃	—	2	2	no	—
601	C₂²×C₄₃	—	4	1	no	—
602	C₂²×C₄₃	—	4	1	no	—
603	C₂²×C₄₃	—	4	1	no	—
604	C₂²×C₄₃	#546	1	2	yes	—
605	C₂²×C₄₃	#576	1	2	yes	—
606	C₂²×C₄₃	#577	1	2	yes	—
607	C₂²×C₄₃	C₂³×D₄	1	1	yes	characteristic
608	C₂×D₄₃	—	2	4	no	—
609	C₂×D₄₃	—	4	2	no	—
610	C₂×D₄₃	—	4	2	no	—
611	C₂×D₄₃	—	4	2	no	—
612	C₂×D₄₃	—	4	1	no	—
613	C₂×D₄₃	—	4	2	no	—
614	C₂×D₄₃	—	4	1	no	—
615	C₂×D₄₃	—	4	2	no	—
616	C₂×D₄₃	—	4	1	no	—
617	C₂×D₄₃	—	8	4	no	—
618	C₂×D₄₃	—	8	8	no	—
619	C₂×D₄₃	—	8	8	no	—
620	C₂×D₄₃	—	8	4	no	—
621	C₂×D₄₃	—	16	4	no	—
622	C₄×C₄₃	—	2	2	no	—
623	C₄×C₄₃	—	2	1	no	—
624	C₄×C₄₃	—	2	1	no	—
625	C₄×C₄₃	—	2	2	no	—
626	C₄×C₄₃	—	2	2	no	—
627	C₄×C₄₃	—	4	1	no	—
628	C₄×C₄₃	—	4	2	no	—
629	C₄×C₄₃	—	4	2	no	—
630	C₄×C₄₃	—	4	1	no	—
631	C₄×C₄₃	—	4	1	no	—
632	C₄×C₄₃	#546	1	2	yes	—
633	C₄×C₄₃	C₂²×#41	1	1	yes	characteristic
634	C₄×C₄₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
635	Dic₄₃	—	4	1	no	—
636	Dic₄₃	—	4	1	no	—
637	Dic₄₃	—	4	1	no	—
638	#3492	D₄₃	1	1	yes	characteristic, complemented
639	#3484	—	43	1	no	—
640	#3318	—	43	2	no	—
641	#3314	—	43	2	no	—
642	#3310	—	43	2	no	—
643	#3306	—	43	2	no	—
644	#3297	—	43	2	no	—
645	#3296	—	43	2	no	—
646	#3295	—	43	2	no	—
647	#3294	—	43	2	no	—
648	#3136	—	43	1	no	—
649	#3096	—	43	1	no	—
650	#3092	—	43	1	no	—
651	#3081	—	43	1	no	—
652	#3062	—	43	1	no	—
653	#3050	—	43	1	no	—
654	#3045	—	43	1	no	—
655	#3012	—	43	1	no	—
656	#3003	—	43	1	no	—
657	#2946	—	43	1	no	—
658	#2929	—	43	1	no	—
659	#2897	—	43	1	no	—
660	C₂²×#102	—	43	1	no	—
661	C₂×C₄₃	—	2	2	no	—
662	C₂×C₄₃	—	2	2	no	—
663	C₂×C₄₃	—	2	2	no	—
664	C₂×C₄₃	—	4	2	no	—
665	C₂×C₄₃	—	8	1	no	—
666	C₂×C₄₃	C₂×#546	1	1	yes	characteristic
667	C₂×C₄₃	C₂×#576	1	1	yes	characteristic
668	C₂×C₄₃	C₂×#577	1	1	yes	characteristic
669	D₄₃	—	4	4	no	—
670	D₄₃	—	8	2	no	—
671	D₄₃	—	8	1	no	—
672	C₂×H(5,𝔽₂)	—	43	1	no	—
673	C₂³×D₄	—	43	1	no	—
674	C₂×AGL(1,ℤ/8)	—	43	1	no	—
675	C₂×AGL(1,ℤ/8)	—	43	1	no	—
676	C₂×#135	—	43	1	no	—
677	C₂×#131	—	43	1	no	—
678	C₂³×C₈	—	43	1	no	—
679	#554	—	2	1	no	—
680	#554	C₂×D₄₃	1	2	yes	complemented
681	#553	—	2	1	no	—
682	#553	C₂×D₄₃	1	2	yes	complemented
683	#552	—	2	1	no	—
684	#552	C₂×D₄₃	1	2	yes	complemented
685	#547	—	2	1	no	—
686	#547	C₂×D₄₃	1	2	yes	complemented
687	#546	—	43	2	no	—
688	#546	—	43	2	no	—
689	#546	—	86	1	no	—
690	#546	—	86	1	no	—
691	D₄²	—	43	2	no	—
692	D₄²	—	43	2	no	—
693	D₄²	—	86	1	no	—
694	D₄²	—	86	1	no	—
695	#544	C₂×D₄₃	1	1	yes	characteristic, complemented
696	#539	—	2	2	no	—
697	#537	C₂×D₄₃	1	1	yes	characteristic, complemented
698	#535	—	43	1	no	—
699	#535	—	43	1	no	—
700	#534	—	86	2	no	—
701	#525	—	2	2	no	—
702	#525	—	43	1	no	—
703	#525	C₂×D₄₃	1	1	yes	characteristic
704	#525	C₂×D₄₃	1	1	yes	characteristic, complemented
705	C₂×#120	—	86	2	no	—
706	#520	C₂×D₄₃	1	1	yes	characteristic, complemented
707	#520	C₂×D₄₃	1	1	yes	characteristic, complemented
708	#518	—	43	1	no	—
709	C₂²×C₄⋊C₄	C₂×D₄₃	1	1	yes	characteristic, complemented
710	#490	—	43	2	no	—
711	#489	—	43	2	no	—
712	#488	—	43	2	no	—
713	#486	—	43	2	no	—
714	#484	—	43	2	no	—
715	#483	—	43	2	no	—
716	#482	—	43	2	no	—
717	#482	—	43	2	no	—
718	#481	—	43	2	no	—
719	#481	—	43	2	no	—
720	#480	—	43	2	no	—
721	#480	—	43	2	no	—
722	#478	—	43	2	no	—
723	#478	—	43	2	no	—
724	#476	—	43	2	no	—
725	#474	—	43	2	no	—
726	#469	—	43	2	no	—
727	#468	—	43	2	no	—
728	#467	—	43	1	no	—
729	#467	—	43	1	no	—
730	#466	—	43	1	no	—
731	#466	—	43	1	no	—
732	#466	—	43	2	no	—
733	#465	—	43	1	no	—
734	#465	—	43	1	no	—
735	#465	—	43	2	no	—
736	#465	—	43	1	no	—
737	#465	—	43	1	no	—
738	#464	—	43	2	no	—
739	#463	—	43	2	no	—
740	#460	—	43	2	no	—
741	#459	—	43	2	no	—
742	#452	—	43	2	no	—
743	#450	—	43	2	no	—
744	#450	—	43	2	no	—
745	#450	—	43	2	no	—
746	#449	—	43	2	no	—
747	#447	—	43	2	no	—
748	#447	—	43	2	no	—
749	#447	—	43	2	no	—
750	#442	—	43	2	no	—
751	#440	—	43	2	no	—
752	C₄×SD₁₆	—	43	2	no	—
753	C₄×D₈	—	43	2	no	—
754	#435	—	43	2	no	—
755	#435	—	43	2	no	—
756	C₈×D₄	—	43	2	no	—
757	C₈×D₄	—	43	2	no	—
758	#428	—	43	1	no	—
759	#428	—	43	1	no	—
760	#427	—	43	1	no	—
761	#424	—	43	1	no	—
762	#418	—	43	1	no	—
763	#418	—	43	1	no	—
764	#418	—	43	2	no	—
765	#417	—	43	1	no	—
766	#417	—	43	1	no	—
767	#417	—	43	2	no	—
768	#416	—	43	1	no	—
769	#416	—	43	1	no	—
770	#416	—	43	2	no	—
771	C₂×#102	—	43	1	no	—
772	C₂×#102	—	43	1	no	—
773	C₂×#102	—	43	1	no	—
774	C₂×#102	—	43	1	no	—
775	C₂×#102	—	43	2	no	—
776	C₂×#102	—	43	2	no	—
777	C₂×#102	—	43	2	no	—
778	C₂×#102	—	43	2	no	—
779	C₂×#102	—	43	2	no	—
780	#408	—	43	1	no	—
781	#407	—	43	1	no	—
782	#405	—	43	1	no	—
783	C₄₃	#61167	1	1	yes	characteristic, complemented, Sylow
784	C₂⁵	—	86	1	no	—
785	H(5,𝔽₂)	—	86	4	no	—
786	H(5,𝔽₂)	—	172	2	no	—
787	C₂×#41	—	2	2	no	—
788	C₂×#41	—	43	1	no	—
789	C₂×#41	—	43	2	no	—
790	C₂×#41	—	86	1	no	—
791	C₂×#41	C₂²×D₄₃	1	1	yes	characteristic
792	C₂×#41	C₂²×D₄₃	1	1	yes	characteristic
793	C₂²×D₄	—	43	1	no	—
794	C₂²×D₄	—	43	1	no	—
795	C₂²×D₄	—	43	2	no	—
796	C₂²×D₄	—	43	2	no	—
797	C₂²×D₄	—	43	2	no	—
798	C₂²×D₄	—	86	4	no	—
799	C₂²×D₄	—	86	2	no	—
800	C₂²×D₄	—	86	2	no	—
801	C₂²×D₄	—	86	2	no	—
802	C₂²×D₄	—	86	1	no	—
803	C₂²×D₄	—	86	1	no	—
804	C₂²×D₄	—	86	1	no	—
805	C₂²×D₄	—	86	1	no	—
806	C₂²×D₄	—	172	2	no	—
807	C₂³×C₄	—	2	1	no	—
808	C₂³×C₄	C₂²×D₄₃	1	1	yes	characteristic
809	AGL(1,ℤ/8)	—	86	4	no	—
810	AGL(1,ℤ/8)	—	172	2	no	—
811	#135	—	172	2	no	—
812	C₂×Q₁₆	—	43	1	no	—
813	C₂×SD₁₆	—	43	2	no	—
814	C₂×SD₁₆	—	43	1	no	—
815	C₂×SD₁₆	—	43	2	no	—
816	C₂×SD₁₆	—	43	1	no	—
817	C₂×D₈	—	43	2	no	—
818	C₂×D₈	—	43	1	no	—
819	C₂×D₈	—	43	2	no	—
820	#131	—	172	2	no	—
821	C₂×M₁₆	—	43	1	no	—
822	C₂×M₁₆	—	43	1	no	—
823	C₂×M₁₆	—	43	2	no	—
824	C₂²×C₈	—	43	1	no	—
825	C₂²×C₈	—	43	1	no	—
826	C₂²×C₈	—	43	1	no	—
827	C₂²×C₈	—	43	1	no	—
828	C₂²×C₈	—	43	1	no	—
829	C₂²×C₈	—	43	1	no	—
830	C₂²×C₈	—	43	2	no	—
831	C₂²×C₈	—	172	2	no	—
832	C₄⋊Q₈	—	2	1	no	—
833	C₄⋊Q₈	C₂²×D₄₃	1	2	yes	complemented
834	#127	—	43	2	no	—
835	#127	—	86	1	no	—
836	#126	—	2	2	no	—
837	#126	—	2	2	no	—
838	#125	—	2	2	no	—
839	#125	—	2	2	no	—
840	#125	—	2	1	no	—
841	#125	C₂²×D₄₃	1	2	yes	complemented
842	#124	—	43	2	no	—
843	#124	—	86	1	no	—
844	#123	—	2	2	no	—
845	#123	—	2	1	no	—
846	#123	—	2	2	no	—
847	#123	—	2	2	no	—
848	#123	—	2	2	no	—
849	#123	—	86	1	no	—
850	#123	—	86	2	no	—
851	#123	—	86	2	no	—
852	#123	C₂²⋊D₄₃	1	2	yes	—
853	C₂²⋊Q₈	—	2	1	no	—
854	C₂²⋊Q₈	—	2	2	no	—
855	C₂²⋊Q₈	—	2	2	no	—
856	C₂²⋊Q₈	—	2	2	no	—
857	C₂²⋊Q₈	—	2	2	no	—
858	C₂²⋊Q₈	—	43	1	no	—
859	C₂²⋊Q₈	—	43	1	no	—
860	C₂²⋊Q₈	C₂²⋊D₄₃	1	1	yes	characteristic
861	C₂²⋊Q₈	C₂²⋊D₄₃	1	1	yes	characteristic
862	C₂²⋊Q₈	C₂²×D₄₃	1	1	yes	characteristic
863	C₂²⋊Q₈	C₂²×D₄₃	1	1	yes	characteristic
864	C₂²⋊Q₈	C₂²×D₄₃	1	2	yes	complemented
865	#121	—	2	2	no	—
866	#121	—	2	2	no	—
867	#121	—	2	1	no	—
868	#121	—	43	1	no	—
869	#121	—	43	1	no	—
870	#121	—	43	2	no	—
871	#121	—	43	2	no	—
872	#121	—	86	2	no	—
873	#121	—	86	2	no	—
874	#121	—	86	1	no	—
875	#121	—	86	1	no	—
876	#121	—	86	2	no	—
877	#121	—	86	2	no	—
878	#121	C₂²⋊D₄₃	1	1	yes	characteristic
879	#121	C₂²⋊D₄₃	1	1	yes	characteristic
880	#121	C₂²×D₄₃	1	1	yes	characteristic
881	#121	C₂²×D₄₃	1	1	yes	characteristic
882	#121	C₂²×D₄₃	1	2	yes	complemented
883	#120	—	2	1	no	—
884	#120	—	86	1	no	—
885	#120	—	86	2	no	—
886	#120	—	86	2	no	—
887	#120	—	86	2	no	—
888	#120	—	86	2	no	—
889	#120	—	86	2	no	—
890	#120	—	86	2	no	—
891	#120	—	86	2	no	—
892	#120	—	86	2	no	—
893	#120	C₂²⋊D₄₃	1	2	yes	—
894	C₄×Q₈	—	2	1	no	—
895	C₄×Q₈	C₂²×D₄₃	1	2	yes	complemented
896	C₄×D₄	—	2	2	no	—
897	C₄×D₄	—	2	1	no	—
898	C₄×D₄	—	2	2	no	—
899	C₄×D₄	—	2	1	no	—
900	C₄×D₄	—	2	1	no	—
901	C₄×D₄	—	2	2	no	—
902	C₄×D₄	—	2	2	no	—
903	C₄×D₄	—	43	2	no	—
904	C₄×D₄	—	43	2	no	—
905	C₄×D₄	—	86	1	no	—
906	C₄×D₄	—	86	1	no	—
907	C₄×D₄	—	86	1	no	—
908	C₄×D₄	—	86	1	no	—
909	C₄×D₄	C₂²×D₄₃	1	2	yes	—
910	C₄×D₄	C₂²×D₄₃	1	2	yes	—
911	C₄×D₄	C₂²×D₄₃	1	2	yes	complemented
912	#117	—	2	1	no	—
913	#117	—	2	2	no	—
914	#117	—	43	1	no	—
915	#117	C₂²×D₄₃	1	1	yes	characteristic
916	#117	C₂²×D₄₃	1	1	yes	characteristic
917	#117	C₂²×D₄₃	1	2	yes	complemented
918	C₂×C₄⋊C₄	—	2	1	no	—
919	C₂×C₄⋊C₄	—	2	1	no	—
920	C₂×C₄⋊C₄	—	2	1	no	—
921	C₂×C₄⋊C₄	—	2	1	no	—
922	C₂×C₄⋊C₄	C₂²×D₄₃	1	1	yes	characteristic
923	C₂×C₄⋊C₄	C₂²×D₄₃	1	1	yes	characteristic
924	C₂×C₄⋊C₄	C₂²×D₄₃	1	2	yes	—
925	C₂×C₄⋊C₄	C₂²×D₄₃	1	2	yes	—
926	C₂×C₄⋊C₄	C₂²×D₄₃	1	2	yes	complemented
927	C₂×C₂²⋊C₄	—	86	2	no	—
928	C₂×C₂²⋊C₄	—	86	2	no	—
929	C₂×C₂²⋊C₄	—	86	2	no	—
930	#107	—	43	1	no	—
931	#107	—	43	1	no	—
932	#107	—	43	2	no	—
933	#107	—	43	2	no	—
934	#106	—	43	1	no	—
935	#106	—	43	1	no	—
936	#106	—	43	2	no	—
937	#106	—	43	2	no	—
938	C₄⋊C₈	—	43	2	no	—
939	C₄⋊C₈	—	43	2	no	—
940	#103	—	43	1	no	—
941	#103	—	43	1	no	—
942	#103	—	43	1	no	—
943	#103	—	43	2	no	—
944	#103	—	43	1	no	—
945	#103	—	43	2	no	—
946	#102	—	43	1	no	—
947	#102	—	43	1	no	—
948	#102	—	43	2	no	—
949	#102	—	43	2	no	—
950	#102	—	43	2	no	—
951	#102	—	43	2	no	—
952	#102	—	43	2	no	—
953	#102	—	43	2	no	—
954	#102	—	43	2	no	—
955	#102	—	43	2	no	—
956	#102	—	43	2	no	—
957	#102	—	43	2	no	—
958	#102	—	43	2	no	—
959	#102	—	43	2	no	—
960	#102	—	43	1	no	—
961	#102	—	43	2	no	—
962	#102	—	43	1	no	—
963	#102	—	43	2	no	—
964	C₂²⋊C₈	—	43	2	no	—
965	C₂²⋊C₈	—	43	2	no	—
966	C₂²⋊C₈	—	43	2	no	—
967	C₂²⋊C₈	—	43	2	no	—
968	#97	—	43	2	no	—
969	C₄×C₈	—	43	2	no	—
970	C₂⁴	—	86	1	no	—
971	C₂⁴	—	86	1	no	—
972	C₂⁴	—	86	2	no	—
973	C₂⁴	—	86	2	no	—
974	C₂⁴	—	86	2	no	—
975	C₂⁴	—	344	2	no	—
976	C₂⁴	—	344	2	no	—
977	C₂⁴	—	172	4	no	—
978	C₂⁴	C₂×C₂²⋊D₄₃	1	1	yes	characteristic
979	#41	—	2	2	no	—
980	#41	—	2	2	no	—
981	#41	—	2	2	no	—
982	#41	—	2	2	no	—
983	#41	—	8	4	no	—
984	#41	—	86	4	no	—
985	#41	—	86	2	no	—
986	#41	—	86	2	no	—
987	#41	—	172	2	no	—
988	#41	—	172	4	no	—
989	C₂×Q₈	—	2	2	no	—
990	C₂×Q₈	—	43	1	no	—
991	C₂×Q₈	C₂×C₂²⋊D₄₃	1	1	yes	characteristic
992	C₂×Q₈	C₂³×D₄₃	1	1	yes	characteristic
993	C₂×D₄	—	2	1	no	—
994	C₂×D₄	—	2	1	no	—
995	C₂×D₄	—	2	1	no	—
996	C₂×D₄	—	2	2	no	—
997	C₂×D₄	—	43	4	no	—
998	C₂×D₄	—	43	2	no	—
999	C₂×D₄	—	43	2	no	—
1000	C₂×D₄	—	43	1	no	—
1001	C₂×D₄	—	86	4	no	—
1002	C₂×D₄	—	86	4	no	—
1003	C₂×D₄	—	86	4	no	—
1004	C₂×D₄	—	86	2	no	—
1005	C₂×D₄	—	86	2	no	—
1006	C₂×D₄	—	86	1	no	—
1007	C₂×D₄	—	86	1	no	—
1008	C₂×D₄	—	86	1	no	—
1009	C₂×D₄	—	86	2	no	—
1010	C₂×D₄	—	86	1	no	—
1011	C₂×D₄	—	86	2	no	—
1012	C₂×D₄	—	86	2	no	—
1013	C₂×D₄	—	86	2	no	—
1014	C₂×D₄	—	86	2	no	—
1015	C₂×D₄	—	86	2	no	—
1016	C₂×D₄	—	86	1	no	—
1017	C₂×D₄	—	86	2	no	—
1018	C₂×D₄	—	86	2	no	—
1019	C₂×D₄	—	86	2	no	—
1020	C₂×D₄	—	344	4	no	—
1021	C₂×D₄	—	344	4	no	—
1022	C₂×D₄	—	172	2	no	—
1023	C₂×D₄	—	172	2	no	—
1024	C₂×D₄	—	172	2	no	—
1025	C₂×D₄	—	172	4	no	—
1026	C₂×D₄	—	172	4	no	—
1027	C₂×D₄	—	172	4	no	—
1028	C₂×D₄	—	172	4	no	—
1029	C₂×D₄	—	172	8	no	—
1030	C₂×D₄	C₂×C₂²⋊D₄₃	1	2	yes	—
1031	C₂×D₄	C₂×C₂²⋊D₄₃	1	2	yes	—
1032	C₂×D₄	C₂×C₂²⋊D₄₃	1	1	yes	characteristic
1033	C₂×D₄	C₂×C₂²⋊D₄₃	1	2	yes	—
1034	C₂×D₄	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	1	no	—
1041	C₂²×C₄	—	2	2	no	—
1042	C₂²×C₄	—	2	1	no	—
1043	C₂²×C₄	—	2	2	no	—
1044	C₂²×C₄	—	8	2	no	—
1045	C₂²×C₄	—	86	2	no	—
1046	C₂²×C₄	—	86	2	no	—
1047	C₂²×C₄	—	86	2	no	—
1048	C₂²×C₄	—	86	1	no	—
1049	C₂²×C₄	C₂×C₂²⋊D₄₃	1	1	yes	characteristic
1050	C₂²×C₄	C₂×C₂²⋊D₄₃	1	1	yes	characteristic
1051	C₂²×C₄	C₂×C₂²⋊D₄₃	1	1	yes	characteristic
1052	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
1053	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
1054	C₂²×C₄	C₂³×D₄₃	1	2	yes	—
1055	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
1056	Q₁₆	—	172	1	no	—
1057	SD₁₆	—	86	4	no	—
1058	SD₁₆	—	172	1	no	—
1059	SD₁₆	—	172	1	no	—
1060	SD₁₆	—	172	2	no	—
1061	D₈	—	86	4	no	—
1062	D₈	—	172	1	no	—
1063	D₈	—	172	2	no	—
1064	M₁₆	—	86	2	no	—
1065	M₁₆	—	86	2	no	—
1066	M₁₆	—	172	2	no	—
1067	C₂×C₈	—	43	1	no	—
1068	C₂×C₈	—	43	2	no	—
1069	C₂×C₈	—	43	1	no	—
1070	C₂×C₈	—	43	1	no	—
1071	C₂×C₈	—	43	1	no	—
1072	C₂×C₈	—	43	2	no	—
1073	C₂×C₈	—	86	2	no	—
1074	C₂×C₈	—	86	2	no	—
1075	C₂×C₈	—	172	1	no	—
1076	C₂×C₈	—	172	1	no	—
1077	C₂×C₈	—	172	1	no	—
1078	C₂×C₈	—	172	1	no	—
1079	C₂×C₈	—	172	2	no	—
1080	C₄⋊C₄	—	2	1	no	—
1081	C₄⋊C₄	—	2	1	no	—
1082	C₄⋊C₄	—	2	2	no	—
1083	C₄⋊C₄	—	2	2	no	—
1084	C₄⋊C₄	—	2	2	no	—
1085	C₄⋊C₄	—	2	2	no	—
1086	C₄⋊C₄	—	2	2	no	—
1087	C₄⋊C₄	—	2	2	no	—
1088	C₄⋊C₄	—	2	1	no	—
1089	C₄⋊C₄	—	2	2	no	—
1090	C₄⋊C₄	—	2	2	no	—
1091	C₄⋊C₄	—	2	1	no	—
1092	C₄⋊C₄	—	43	1	no	—
1093	C₄⋊C₄	—	43	1	no	—
1094	C₄⋊C₄	—	86	1	no	—
1095	C₄⋊C₄	—	86	1	no	—
1096	C₄⋊C₄	C₂×C₂²⋊D₄₃	1	1	yes	characteristic
1097	C₄⋊C₄	C₂×C₂²⋊D₄₃	1	1	yes	characteristic
1098	C₄⋊C₄	C₂×C₂²⋊D₄₃	1	2	yes	—
1099	C₄⋊C₄	C₂×C₂²⋊D₄₃	1	2	yes	—
1100	C₄⋊C₄	C₂³×D₄₃	1	2	yes	—
1101	C₄⋊C₄	C₂³×D₄₃	1	2	yes	—
1102	C₄⋊C₄	C₂³×D₄₃	1	1	yes	characteristic
1103	C₄⋊C₄	C₂³×D₄₃	1	1	yes	characteristic
1104	C₂²⋊C₄	—	2	1	no	—
1105	C₂²⋊C₄	—	2	1	no	—
1106	C₂²⋊C₄	—	2	2	no	—
1107	C₂²⋊C₄	—	2	1	no	—
1108	C₂²⋊C₄	—	2	2	no	—
1109	C₂²⋊C₄	—	2	2	no	—
1110	C₂²⋊C₄	—	2	2	no	—
1111	C₂²⋊C₄	—	2	1	no	—
1112	C₂²⋊C₄	—	2	1	no	—
1113	C₂²⋊C₄	—	86	1	no	—
1114	C₂²⋊C₄	—	86	1	no	—
1115	C₂²⋊C₄	—	86	1	no	—
1116	C₂²⋊C₄	—	86	2	no	—
1117	C₂²⋊C₄	—	86	2	no	—
1118	C₂²⋊C₄	—	86	2	no	—
1119	C₂²⋊C₄	—	86	2	no	—
1120	C₂²⋊C₄	—	86	2	no	—
1121	C₂²⋊C₄	—	86	2	no	—
1122	C₂²⋊C₄	—	86	1	no	—
1123	C₂²⋊C₄	—	86	1	no	—
1124	C₂²⋊C₄	C₂×C₂²⋊D₄₃	1	2	yes	—
1125	C₂²⋊C₄	C₂×C₂²⋊D₄₃	1	2	yes	—
1126	C₂²⋊C₄	C₂×C₂²⋊D₄₃	1	2	yes	—
1127	C₂²⋊C₄	C₂×C₂²⋊D₄₃	1	2	yes	—
1128	C₂²⋊C₄	C₂×C₂²⋊D₄₃	1	2	yes	—
1129	C₄²	—	2	2	no	—
1130	C₄²	—	2	2	no	—
1131	C₄²	—	2	1	no	—
1132	C₄²	—	86	1	no	—
1133	C₄²	C₂³×D₄₃	1	2	yes	—
1134	C₂³	—	2	2	no	—
1135	C₂³	—	2	2	no	—
1136	C₂³	—	2	2	no	—
1137	C₂³	—	2	1	no	—
1138	C₂³	—	86	4	no	—
1139	C₂³	—	86	2	no	—
1140	C₂³	—	86	2	no	—
1141	C₂³	—	86	1	no	—
1142	C₂³	—	344	16	no	—
1143	C₂³	—	344	1	no	—
1144	C₂³	—	344	2	no	—
1145	C₂³	—	344	1	no	—
1146	C₂³	—	344	1	no	—
1147	C₂³	—	344	2	no	—
1148	C₂³	—	344	1	no	—
1149	C₂³	—	344	2	no	—
1150	C₂³	—	344	2	no	—
1151	C₂³	—	172	4	no	—
1152	C₂³	—	172	4	no	—
1153	C₂³	—	172	4	no	—
1154	C₂³	—	172	4	no	—
1155	C₂³	—	172	4	no	—
1156	C₂³	—	172	2	no	—
1157	C₂³	C₂²×C₂²⋊D₄₃	1	2	yes	—
1158	C₂³	C₂²×C₂²⋊D₄₃	1	1	yes	characteristic
1159	C₂³	C₂²×C₂²⋊D₄₃	1	1	yes	characteristic
1160	C₂³	C₂²×C₂²⋊D₄₃	1	1	yes	characteristic
1161	Q₈	—	2	2	no	—
1162	Q₈	—	2	1	no	—
1163	Q₈	—	2	1	no	—
1164	Q₈	—	8	2	no	—
1165	Q₈	—	86	1	no	—
1166	Q₈	—	86	1	no	—
1167	D₄	—	2	4	no	—
1168	D₄	—	2	4	no	—
1169	D₄	—	2	4	no	—
1170	D₄	—	2	1	no	—
1171	D₄	—	2	1	no	—
1172	D₄	—	2	2	no	—
1173	D₄	—	4	2	no	—
1174	D₄	—	4	2	no	—
1175	D₄	—	4	2	no	—
1176	D₄	—	8	2	no	—
1177	D₄	—	43	4	no	—
1178	D₄	—	86	2	no	—
1179	D₄	—	86	1	no	—
1180	D₄	—	86	2	no	—
1181	D₄	—	86	2	no	—
1182	D₄	—	86	1	no	—
1183	D₄	—	86	4	no	—
1184	D₄	—	344	2	no	—
1185	D₄	—	344	2	no	—
1186	D₄	—	344	2	no	—
1187	D₄	—	344	2	no	—
1188	D₄	—	172	4	no	—
1189	D₄	—	172	4	no	—
1190	D₄	—	172	4	no	—
1191	D₄	—	172	4	no	—
1192	D₄	—	172	2	no	—
1193	D₄	—	172	2	no	—
1194	D₄	—	172	2	no	—
1195	D₄	—	172	2	no	—
1196	C₂×C₄	—	2	2	no	—
1197	C₂×C₄	—	2	1	no	—
1198	C₂×C₄	—	2	1	no	—
1199	C₂×C₄	—	2	2	no	—
1200	C₂×C₄	—	2	1	no	—
1201	C₂×C₄	—	2	1	no	—
1202	C₂×C₄	—	2	2	no	—
1203	C₂×C₄	—	2	2	no	—
1204	C₂×C₄	—	2	2	no	—
1205	C₂×C₄	—	2	1	no	—
1206	C₂×C₄	—	2	1	no	—
1207	C₂×C₄	—	2	2	no	—
1208	C₂×C₄	—	2	1	no	—
1209	C₂×C₄	—	2	2	no	—
1210	C₂×C₄	—	4	4	no	—
1211	C₂×C₄	—	4	2	no	—
1212	C₂×C₄	—	8	2	no	—
1213	C₂×C₄	—	8	1	no	—
1214	C₂×C₄	—	8	2	no	—
1215	C₂×C₄	—	8	1	no	—
1216	C₂×C₄	—	8	2	no	—
1217	C₂×C₄	—	86	1	no	—
1218	C₂×C₄	—	86	1	no	—
1219	C₂×C₄	—	86	1	no	—
1220	C₂×C₄	—	344	2	no	—
1221	C₂×C₄	—	344	2	no	—
1222	C₂×C₄	—	172	4	no	—
1223	C₂×C₄	—	172	2	no	—
1224	C₂×C₄	C₂²×C₂²⋊D₄₃	1	2	yes	—
1225	C₂×C₄	C₂²×C₂²⋊D₄₃	1	2	yes	—
1226	C₂×C₄	C₂²×C₂²⋊D₄₃	1	2	yes	—
1227	C₂×C₄	C₂²×C₂²⋊D₄₃	1	1	yes	characteristic
1228	C₂×C₄	C₂²×C₂²⋊D₄₃	1	1	yes	characteristic
1229	C₂×C₄	C₂²×C₂²⋊D₄₃	1	1	yes	characteristic
1230	C₂×C₄	#41×D₄₃	1	2	yes	—
1231	C₂×C₄	#13063371	1	2	yes	—
1232	C₂×C₄	C₂⁴×D₄₃	1	1	yes	characteristic
1233	C₈	—	86	2	no	—
1234	C₈	—	86	1	no	—
1235	C₈	—	86	1	no	—
1236	C₈	—	86	1	no	—
1237	C₈	—	86	1	no	—
1238	C₈	—	86	2	no	—
1239	C₂²	—	2	8	no	—
1240	C₂²	—	2	1	no	—
1241	C₂²	—	2	1	no	—
1242	C₂²	—	2	1	no	—
1243	C₂²	—	2	1	no	—
1244	C₂²	—	2	1	no	—
1245	C₂²	—	2	1	no	—
1246	C₂²	—	2	2	no	—
1247	C₂²	—	2	2	no	—
1248	C₂²	—	2	2	no	—
1249	C₂²	—	4	1	no	—
1250	C₂²	—	4	1	no	—
1251	C₂²	—	4	1	no	—
1252	C₂²	—	86	4	no	—
1253	C₂²	—	344	4	no	—
1254	C₂²	—	344	8	no	—
1255	C₂²	—	344	8	no	—
1256	C₂²	—	344	4	no	—
1257	C₂²	—	172	1	no	—
1258	C₂²	—	172	2	no	—
1259	C₂²	—	172	1	no	—
1260	C₂²	—	172	2	no	—
1261	C₂²	—	172	1	no	—
1262	C₂²	—	172	2	no	—
1263	C₂²	—	172	2	no	—
1264	C₂²	—	172	2	no	—
1265	C₂²	—	688	4	no	—
1266	C₂²	#14583537	1	2	yes	—
1267	C₂²	#14583702	1	2	yes	—
1268	C₂²	#14583707	1	2	yes	—
1269	C₂²	C₂³×C₂²⋊D₄₃	1	1	yes	characteristic
1270	C₄	—	2	1	no	—
1271	C₄	—	2	1	no	—
1272	C₄	—	2	2	no	—
1273	C₄	—	2	2	no	—
1274	C₄	—	2	2	no	—
1275	C₄	—	4	1	no	—
1276	C₄	—	4	2	no	—
1277	C₄	—	4	2	no	—
1278	C₄	—	4	1	no	—
1279	C₄	—	4	1	no	—
1280	C₄	—	172	1	no	—
1281	C₄	—	172	1	no	—
1282	C₄	—	172	1	no	—
1283	C₄	#14583537	1	2	yes	—
1284	C₄	C₂×#41×D₄₃	1	1	yes	characteristic
1285	C₄	C₂×#13063371	1	1	yes	characteristic
1286	C₂	—	2	2	no	—
1287	C₂	—	2	2	no	—
1288	C₂	—	2	2	no	—
1289	C₂	—	4	2	no	—
1290	C₂	—	8	1	no	—
1291	C₂	—	344	2	no	—
1292	C₂	—	344	1	no	—
1293	C₂	—	172	4	no	—
1294	C₂	C₂×#14583537	1	1	yes	characteristic
1295	C₂	C₂×#14583702	1	1	yes	characteristic
1296	C₂	C₂×#14583707	1	1	yes	characteristic

	subgroup	G/H
center	C₂²	C₂³×C₂²⋊D₄₃
commutator, cosocle	C₂×C₄×C₄₃	C₂⁵
Frattini	C₂×C₄	C₂⁴×D₄₃
Fitting	C₄₃×#3492	C₂
socle	C₂²×C₄₃	C₂³×D₄
hypercenter	#3492	D₄₃
hypocenter	C₄₃	#61167
LCS	G ▷ C₂×C₄×C₄₃ ▷ C₂×C₄₃ ▷ C₄₃
UCS	C₁ ◁ C₂² ◁ #525 ◁ #3492

Complements

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

N	H ≅ G/N	type
1. #19148228	C₂	semidirect
2. #19146730	C₂	semidirect
3. #19146670	C₂	semidirect
4. #19146610	C₂	semidirect
5. #19146550	C₂	semidirect
6. #19146439	C₂	semidirect
7. #19146424	C₂	semidirect
8. #19146413	C₂	semidirect
9. #19146402	C₂	semidirect
10. #19144954	C₂	semidirect
11. #19144553	C₂	semidirect
12. #19144518	C₂	semidirect
13. #19144420	C₂	semidirect
14. #19144277	C₂	semidirect
15. #19144173	C₂	semidirect
16. #19144134	C₂	semidirect
17. #19143896	C₂	semidirect
18. #19143821	C₂	semidirect
19. #19143423	C₂	semidirect
20. #19143290	C₂	semidirect
21. #19143118	C₂	semidirect
22. C₂²×#13063245	C₂	semidirect
23. C₄₃×#3492	C₂	semidirect
27. C₂×#13063350	C₂²	semidirect
28. C₂×#13063345	C₂²	semidirect
29. C₂×#13063332	C₂²	semidirect
30. C₂³×C₄₃⋊C₈	C₂²	semidirect
45. #14583265	C₂²	semidirect
46. #14583261	C₂²	semidirect
47. #14583256	C₂²	semidirect
48. #14583247	C₂²	semidirect
49. #14583234	C₂²	semidirect
50. #14583229	C₂²	semidirect
51. #14583223	C₂²	semidirect
52. #14583223	C₂²	semidirect
53. #14583217	C₂²	semidirect
54. #14583217	C₂²	semidirect
55. #14583212	C₂²	semidirect
56. #14583212	C₂²	semidirect
57. #14583196	C₂²	semidirect
58. #14583196	C₂²	semidirect
59. #14583186	C₂²	semidirect
60. #14583176	C₂²	semidirect
61. #14583150	C₂²	semidirect
62. #14583147	C₂²	semidirect
63. #14583138	C₂²	semidirect
64. #14583138	C₂²	semidirect
65. #14583133	C₂²	semidirect
66. #14583133	C₂²	semidirect
67. #14583133	C₂²	semidirect
68. #14583130	C₂²	semidirect
69. #14583130	C₂²	semidirect
70. #14583130	C₂²	semidirect
71. #14583126	C₂²	semidirect
72. #14583126	C₂²	semidirect
73. #14583121	C₂²	semidirect
74. #14583114	C₂²	semidirect
75. #14583099	C₂²	semidirect
76. #14583094	C₂²	semidirect
77. #14583059	C₂²	semidirect
78. #14583049	C₂²	semidirect
79. #14583049	C₂²	semidirect
80. #14583049	C₂²	semidirect
81. #14583042	C₂²	semidirect
82. #14583032	C₂²	semidirect
83. #14583032	C₂²	semidirect
84. #14583032	C₂²	semidirect
85. #14583009	C₂²	semidirect
86. #14582997	C₂²	semidirect
87. C₄×#10621884	C₂²	semidirect
88. C₄×#10621882	C₂²	semidirect
89. #14582971	C₂²	semidirect
90. #14582971	C₂²	semidirect
91. D₄×C₄₃⋊C₈	C₂²	semidirect
92. D₄×C₄₃⋊C₈	C₂²	semidirect
93. #14582939	C₂²	semidirect
94. #14582939	C₂²	semidirect
95. #14582935	C₂²	semidirect
96. #14582926	C₂²	semidirect
98. #14582903	C₂²	semidirect
99. #14582903	C₂²	semidirect
100. #14582898	C₂²	semidirect
101. #14582898	C₂²	semidirect
102. #14582898	C₂²	semidirect
103. #14582895	C₂²	semidirect
104. #14582893	C₂²	semidirect
105. #14582893	C₂²	semidirect
108. C₂×#13063245	C₂²	semidirect
109. C₂×#13063245	C₂²	semidirect
110. C₂×#13063245	C₂²	semidirect
111. C₂×#13063245	C₂²	semidirect
112. C₂×#13063245	C₂²	semidirect
113. C₂×#13063245	C₂²	semidirect
114. C₂×#13063245	C₂²	semidirect
115. #14582866	C₂²	semidirect
116. #14582863	C₂²	semidirect
117. #14582855	C₂²	semidirect
119. C₄₃×#554	C₂²	semidirect
121. C₄₃×#553	C₂²	semidirect
123. C₄₃×#552	C₂²	semidirect
125. C₄₃×#547	C₂²	semidirect
126. C₄₃×#544	C₂²	semidirect
128. C₄₃×#537	C₂²	semidirect
131. C₄₃×#525	C₂²	semidirect
132. C₄₃×#520	C₂²	semidirect
133. C₄₃×#520	C₂²	semidirect
134. C₂²×C₄⋊C₄×C₄₃	C₂²	semidirect
158. C₂×#10621885	C₂³	semidirect
159. C₂×#10621883	C₂³	semidirect
162. C₂×#10621884	C₂³	semidirect
165. C₂×#10621882	C₂³	semidirect
169. C₂×#10621877	C₂³	semidirect
177. C₂²×C₄₃⋊C₈	C₂³	semidirect
216. #13063258	C₂³	semidirect
217. #13063258	C₂³	semidirect
218. #13063258	C₂³	semidirect
219. #13063258	C₂³	semidirect
220. #13063256	C₂³	semidirect
221. #13063256	C₂³	semidirect
222. #13063256	C₂³	semidirect
223. #13063256	C₂³	semidirect
224. C₄⋊(C₄₃⋊C₈)	C₂³	semidirect
225. C₄⋊(C₄₃⋊C₈)	C₂³	semidirect
226. #13063249	C₂³	semidirect
227. #13063249	C₂³	semidirect
228. #13063248	C₂³	semidirect
229. #13063248	C₂³	semidirect
230. #13063248	C₂³	semidirect
231. #13063248	C₂³	semidirect
232. #13063246	C₂³	semidirect
233. #13063246	C₂³	semidirect
246. #13063245	C₂³	semidirect
247. #13063245	C₂³	semidirect
248. #13063245	C₂³	semidirect
249. #13063245	C₂³	semidirect
252. C₂²⋊(C₄₃⋊C₈)	C₂³	semidirect
253. C₂²⋊(C₄₃⋊C₈)	C₂³	semidirect
254. #13063236	C₂³	semidirect
255. C₄×C₄₃⋊C₈	C₂³	semidirect
262. C₄⋊Q₈×C₄₃	C₂³	semidirect
268. #125×C₄₃	C₂³	semidirect
284. C₂²⋊Q₈×C₄₃	C₂³	semidirect
292. #121×C₄₃	C₂³	semidirect
296. C₄×Q₈×C₄₃	C₂³	semidirect
306. C₄×D₄×C₄₃	C₂³	semidirect
311. #117×C₄₃	C₂³	semidirect
320. C₂×C₄⋊C₄×C₄₃	C₂³	semidirect
398. C₂×D₁₇₂	#41	semidirect
638. #3492	D₄₃	semidirect
680. #554	C₂×D₄₃	semidirect
682. #553	C₂×D₄₃	semidirect
684. #552	C₂×D₄₃	semidirect
686. #547	C₂×D₄₃	semidirect
695. #544	C₂×D₄₃	semidirect
697. #537	C₂×D₄₃	semidirect
704. #525	C₂×D₄₃	semidirect
706. #520	C₂×D₄₃	semidirect
707. #520	C₂×D₄₃	semidirect
709. C₂²×C₄⋊C₄	C₂×D₄₃	semidirect
783. C₄₃	#61167	semidirect
833. C₄⋊Q₈	C₂²×D₄₃	semidirect
841. #125	C₂²×D₄₃	semidirect
864. C₂²⋊Q₈	C₂²×D₄₃	semidirect
882. #121	C₂²×D₄₃	semidirect
895. C₄×Q₈	C₂²×D₄₃	semidirect
911. C₄×D₄	C₂²×D₄₃	semidirect
917. #117	C₂²×D₄₃	semidirect
926. C₂×C₄⋊C₄	C₂²×D₄₃	semidirect

Maximal subgroups

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

subgroup	index
#19148228	2
#19146730	2
#19146670	2
#19146610	2
#19146550	2
#19146439	2
#19146424	2
#19146413	2
#19146402	2
#19144954	2
#19144553	2
#19144518	2
#19144420	2
#19144277	2
#19144173	2
#19144134	2
#19143896	2
#19143821	2
#19143423	2
#19143290	2
#19143118	2
C₂²×#13063245	2
C₄₃×#3492	2
#61167	43