Subgroups — #26005254

Order 11008.

7382 conjugacy classes of subgroups.

The subgroup lattice has 1278 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#19148800	C₂	1	8	yes	maximal, complemented
2	#19148781	C₂	1	8	yes	maximal, complemented
3	#19148763	C₂	1	8	yes	maximal, complemented
4	#19148536	C₂	1	8	yes	maximal, complemented
5	#19148522	C₂	1	8	yes	maximal, complemented
6	#19148301	C₂	1	4	yes	maximal, complemented
7	#19148294	C₂	1	2	yes	maximal, complemented
8	#19148288	C₂	1	2	yes	maximal, complemented
9	#19148284	C₂	1	1	yes	maximal, characteristic, complemented
10	#19148278	C₂	1	4	yes	maximal, complemented
11	#19148240	C₂	1	2	yes	maximal, complemented
12	#19148236	C₂	1	2	yes	maximal, complemented
13	#19148224	C₂	1	2	yes	maximal, complemented
14	C₂×#14583405	C₂	1	2	yes	maximal, complemented
15	C₂²×#13063309	C₂	1	1	yes	maximal, characteristic, complemented
16	C₄₃×#3490	C₂	1	1	yes	maximal, characteristic, complemented
17	C₂×#13063370	C₂²	1	2	yes	complemented
18	C₂²×#10621900	C₂²	1	2	yes	complemented
19	C₂³×C₂²⋊D₄₃	C₂²	1	1	yes	characteristic
20	C₂⁴×Dic₄₃	C₂²	1	1	yes	characteristic, complemented
21	#14583651	C₂²	1	8	yes	complemented
22	#14583646	C₂²	1	8	yes	complemented
23	#14583643	C₂²	1	8	yes	complemented
24	#14583637	C₂²	1	8	yes	complemented
25	#14583631	C₂²	1	8	yes	complemented
26	#14583607	C₂²	1	8	yes	complemented
27	#14583606	C₂²	1	8	yes	complemented
28	#14583601	C₂²	1	8	yes	complemented
29	#14583601	C₂²	1	8	yes	complemented
30	#14583600	C₂²	1	8	yes	complemented
31	#14583595	C₂²	1	8	yes	complemented
32	#14583591	C₂²	1	8	yes	complemented
33	#14583591	C₂²	1	8	yes	complemented
34	#14583589	C₂²	1	8	yes	complemented
35	#14583582	C₂²	1	8	yes	complemented
36	#14583578	C₂²	1	8	yes	complemented
37	#14583576	C₂²	1	8	yes	complemented
38	#14583576	C₂²	1	8	yes	complemented
39	#14583575	C₂²	1	8	yes	complemented
40	#14583575	C₂²	1	8	yes	complemented
41	#14583573	C₂²	1	8	yes	complemented
42	#14583572	C₂²	1	8	yes	complemented
43	#14583572	C₂²	1	8	yes	complemented
44	#14583553	C₂²	1	8	yes	complemented
45	#14583553	C₂²	1	8	yes	complemented
46	#14583549	C₂²	1	8	yes	complemented
47	#14583547	C₂²	1	8	yes	complemented
48	#14583544	C₂²	1	8	yes	complemented
49	#14583544	C₂²	1	8	yes	complemented
50	#14583541	C₂²	1	8	yes	complemented
51	#14583539	C₂²	1	8	yes	complemented
52	#14583539	C₂²	1	8	yes	complemented
53	#14583538	C₂²	1	8	yes	complemented
54	#14583537	C₂²	1	8	yes	complemented
55	#14583536	C₂²	1	8	yes	complemented
56	#14583536	C₂²	1	8	yes	complemented
57	D₄×C₂²⋊D₄₃	C₂²	1	8	yes	complemented
58	#14583531	C₂²	1	8	yes	complemented
59	#14583527	C₂²	1	4	yes	complemented
60	#14583525	C₂²	1	1	yes	characteristic, complemented
61	#14583524	C₂²	1	4	yes	complemented
62	#14583518	C₂²	1	8	yes	complemented
63	#14583515	C₂²	1	8	yes	complemented
64	#14583502	C₂²	1	8	yes	complemented
65	#14583501	C₂²	1	8	yes	complemented
66	#14583498	C₂²	1	8	yes	complemented
67	#14583493	C₂²	1	8	yes	complemented
68	#14583493	C₂²	1	8	yes	complemented
69	#14583493	C₂²	1	8	yes	complemented
70	#14583491	C₂²	1	8	yes	complemented
71	#14583490	C₂²	1	8	yes	complemented
72	#14583489	C₂²	1	4	yes	complemented
73	#14583487	C₂²	1	4	yes	complemented
74	#14583486	C₂²	1	4	yes	complemented
75	#14583486	C₂²	1	8	yes	complemented
76	#14583483	C₂²	1	8	yes	complemented
77	#14583482	C₂²	1	8	yes	complemented
78	#14583477	C₂²	1	4	yes	complemented
79	#14583475	C₂²	1	4	yes	complemented
80	#14583471	C₂²	1	4	yes	complemented
81	#14583464	C₂²	1	4	yes	complemented
82	#14583461	C₂²	1	2	yes	—
83	#14583461	C₂²	1	1	yes	characteristic, complemented
84	#14583461	C₂²	1	4	yes	complemented
85	#14583459	C₂²	1	4	yes	complemented
86	#14583459	C₂²	1	4	yes	complemented
87	#14583458	C₂²	1	2	yes	—
88	#14583457	C₂²	1	4	yes	complemented
89	#14583435	C₂²	1	8	yes	complemented
90	#14583429	C₂²	1	8	yes	complemented
91	#14583411	C₂²	1	4	yes	complemented
92	#14583410	C₂²	1	4	yes	complemented
93	#14583405	C₂²	1	4	yes	complemented
94	#14583405	C₂²	1	8	yes	complemented
95	#14583405	C₂²	1	8	yes	complemented
96	#14583405	C₂²	1	8	yes	complemented
97	#14583405	C₂²	1	8	yes	complemented
98	#14583405	C₂²	1	4	yes	complemented
99	C₂×#13063309	C₂²	1	2	yes	complemented
100	C₂×#13063309	C₂²	1	8	yes	complemented
101	C₂×#13063309	C₂²	1	2	yes	complemented
102	C₂×#13063309	C₂²	1	4	yes	complemented
103	C₂×#13063309	C₂²	1	8	yes	complemented
104	C₂×#13063309	C₂²	1	2	yes	complemented
105	C₂×#13063309	C₂²	1	4	yes	complemented
106	C₂×#13063306	C₂²	1	2	yes	complemented
107	#123×D₄₃	C₂²	1	4	yes	complemented
108	C₂×#13063302	C₂²	1	4	yes	complemented
109	C₂×#13063297	C₂²	1	4	yes	complemented
110	C₂×#13063294	C₂²	1	2	yes	complemented
111	#120×D₄₃	C₂²	1	4	yes	complemented
112	#14583382	C₂²	1	4	yes	complemented
113	#14583379	C₂²	1	4	yes	complemented
114	#14583372	C₂²	1	2	yes	complemented
115	#14583372	C₂²	1	2	yes	complemented
116	#14583371	C₂²	1	8	yes	complemented
117	C₂×D₄×Dic₄₃	C₂²	1	4	yes	complemented
118	C₂×(C₂²⋊D₄₃)⋊C₄	C₂²	1	4	yes	complemented
119	C₂×#13063281	C₂²	1	2	yes	complemented
120	C₂²×C₄⋊Dic₄₃	C₂²	1	2	yes	complemented
121	C₂²×(C₂×D₄₃)⋊C₄	C₂²	1	2	yes	complemented
122	C₄₃×#551	C₂²	1	8	yes	complemented
123	C₄₃×#546	C₂²	1	8	yes	complemented
124	C₄₃×#543	C₂²	1	1	yes	characteristic, complemented
125	C₄₃×#538	C₂²	1	4	yes	complemented
126	C₄₃×#534	C₂²	1	1	yes	characteristic, complemented
127	C₄₃×#525	C₂²	1	4	yes	complemented
128	C₂×#120×C₄₃	C₂²	1	2	yes	complemented
129	C₄₃×#518	C₂²	1	2	yes	complemented
130	C₂²×C₂²⋊C₄×C₄₃	C₂²	1	1	yes	characteristic, complemented
131	C₂⁴×D₄₃	C₂³	1	1	yes	characteristic
132	#13063370	—	4	8	no	—
133	C₂×#10621898	C₂³	1	4	yes	—
134	C₂×#10621898	C₂³	1	4	yes	—
135	C₂×#10621900	—	4	8	no	—
136	C₂×#10621900	C₂³	1	4	yes	—
137	C₂×#10621900	C₂³	1	4	yes	—
138	C₂×#10621900	C₂³	1	8	yes	—
139	C₂×#10621900	C₂³	1	8	yes	complemented
140	C₂²×Dic₈₆	C₂³	1	2	yes	complemented
141	C₂²×C₂²⋊D₄₃	—	4	4	no	—
142	C₂²×C₂²⋊D₄₃	C₂³	1	2	yes	—
143	C₂²×C₂²⋊D₄₃	C₂³	1	2	yes	—
144	C₂²×C₂²⋊D₄₃	C₂³	1	4	yes	—
145	C₂²×C₂²⋊D₄₃	C₂³	1	2	yes	—
146	C₂²×C₂²⋊D₄₃	C₂³	1	8	yes	—
147	C₂²×C₂²⋊D₄₃	C₂³	1	4	yes	—
148	C₂²×C₂²⋊D₄₃	C₂³	1	2	yes	complemented
149	C₂×D₄×D₄₃	C₂³	1	8	yes	—
150	C₂×D₄×D₄₃	C₂³	1	4	yes	—
151	C₂×D₄×D₄₃	C₂³	1	4	yes	—
152	C₂³×Dic₄₃	—	4	4	no	—
153	C₂³×Dic₄₃	C₂³	1	2	yes	—
154	C₂³×Dic₄₃	C₂³	1	2	yes	—
155	C₂³×Dic₄₃	C₂³	1	1	yes	characteristic
156	C₂³×Dic₄₃	C₂³	1	4	yes	—
157	C₂³×Dic₄₃	C₂³	1	4	yes	—
158	C₂³×Dic₄₃	C₂³	1	2	yes	—
159	C₂³×Dic₄₃	C₂³	1	2	yes	complemented
160	C₂²×C₄×D₄₃	C₂³	1	2	yes	complemented
161	#13063325	C₂³	1	8	yes	complemented
162	#13063324	C₂³	1	8	yes	complemented
163	#13063321	C₂³	1	8	yes	—
164	#13063320	C₂³	1	8	yes	complemented
165	#13063320	C₂³	1	8	yes	complemented
166	#13063320	C₂³	1	8	yes	complemented
167	#13063320	C₂³	1	8	yes	complemented
168	#13063320	C₂³	1	8	yes	complemented
169	#13063319	C₂³	1	8	yes	complemented
170	#13063318	C₂³	1	8	yes	complemented
171	#13063318	C₂³	1	8	yes	complemented
172	#13063318	C₂³	1	8	yes	complemented
173	#13063317	C₂³	1	8	yes	complemented
174	#13063316	C₂³	1	8	yes	complemented
175	#13063316	C₂³	1	8	yes	complemented
176	#13063316	C₂³	1	8	yes	complemented
177	#13063315	C₂³	1	8	yes	complemented
178	#13063315	C₂³	1	8	yes	complemented
179	#13063314	C₂³	1	8	yes	complemented
180	#13063313	C₂³	1	8	yes	complemented
181	#13063311	C₂³	1	8	yes	—
182	#13063311	C₂³	1	8	yes	complemented
183	#13063311	C₂³	1	8	yes	complemented
184	#13063311	C₂³	1	8	yes	complemented
185	#13063310	C₂³	1	8	yes	complemented
186	#13063310	C₂³	1	8	yes	complemented
187	#13063310	C₂³	1	8	yes	complemented
188	#13063309	C₂³	1	4	yes	—
189	#13063309	C₂³	1	8	yes	—
190	#13063309	C₂³	1	8	yes	—
191	#13063309	C₂³	1	8	yes	—
192	#13063309	C₂³	1	8	yes	—
193	#13063309	C₂³	1	4	yes	—
194	#13063309	C₂³	1	8	yes	—
195	#13063309	C₂³	1	4	yes	—
196	#13063309	C₂³	1	4	yes	—
197	#13063309	C₂³	1	4	yes	—
198	#13063309	C₂³	1	4	yes	—
199	#13063309	C₂³	1	8	yes	—
200	#13063309	C₂³	1	8	yes	—
201	#13063309	C₂³	1	4	yes	complemented
202	#13063309	C₂³	1	8	yes	complemented
203	#13063309	C₂³	1	8	yes	complemented
204	#13063309	C₂³	1	8	yes	complemented
205	#13063309	C₂³	1	4	yes	complemented
206	#13063309	C₂³	1	4	yes	complemented
207	#13063308	C₂³	1	8	yes	—
208	#13063308	C₂³	1	4	yes	—
209	#13063308	C₂³	1	8	yes	complemented
210	#13063307	C₂³	1	8	yes	—
211	#13063307	C₂³	1	8	yes	complemented
212	#13063307	C₂³	1	8	yes	complemented
213	#13063307	C₂³	1	8	yes	complemented
214	#13063307	C₂³	1	8	yes	complemented
215	#13063306	C₂³	1	8	yes	—
216	#13063306	C₂³	1	4	yes	—
217	#13063306	C₂³	1	4	yes	complemented
218	#13063306	C₂³	1	4	yes	complemented
219	#13063305	C₂³	1	8	yes	complemented
220	#13063305	C₂³	1	8	yes	complemented
221	#13063305	C₂³	1	8	yes	complemented
222	#13063304	C₂³	1	4	yes	—
223	#13063304	C₂³	1	4	yes	—
224	#13063304	C₂³	1	8	yes	complemented
225	#13063303	C₂³	1	8	yes	complemented
226	#13063303	C₂³	1	8	yes	complemented
227	#13063302	C₂³	1	8	yes	—
228	#13063302	C₂³	1	8	yes	—
229	#13063302	C₂³	1	8	yes	—
230	#13063302	C₂³	1	8	yes	complemented
231	#13063302	C₂³	1	8	yes	complemented
232	#13063302	C₂³	1	8	yes	complemented
233	#13063302	C₂³	1	8	yes	complemented
234	#13063302	C₂³	1	8	yes	complemented
235	#13063301	C₂³	1	8	yes	complemented
236	#13063301	C₂³	1	8	yes	complemented
237	#13063300	C₂³	1	8	yes	complemented
238	#13063299	C₂³	1	4	yes	—
239	#13063299	C₂³	1	8	yes	—
240	#13063299	C₂³	1	4	yes	—
241	#13063299	C₂³	1	8	yes	complemented
242	#13063299	C₂³	1	8	yes	complemented
243	#13063298	C₂³	1	8	yes	—
244	#13063298	C₂³	1	8	yes	—
245	#13063298	C₂³	1	8	yes	complemented
246	#13063298	C₂³	1	8	yes	complemented
247	#13063297	C₂³	1	8	yes	—
248	#13063297	C₂³	1	8	yes	—
249	#13063297	C₂³	1	8	yes	—
250	#13063297	C₂³	1	8	yes	—
251	#13063297	C₂³	1	8	yes	—
252	#13063297	C₂³	1	8	yes	complemented
253	#13063297	C₂³	1	8	yes	complemented
254	#13063297	C₂³	1	8	yes	complemented
255	#13063296	C₂³	1	8	yes	—
256	#13063296	C₂³	1	8	yes	complemented
257	#13063295	C₂³	1	8	yes	—
258	#13063295	C₂³	1	4	yes	—
259	#13063295	C₂³	1	4	yes	—
260	#13063295	C₂³	1	8	yes	complemented
261	#13063295	C₂³	1	4	yes	complemented
262	#13063294	C₂³	1	4	yes	—
263	#13063294	C₂³	1	8	yes	—
264	#13063294	C₂³	1	4	yes	—
265	#13063294	C₂³	1	4	yes	—
266	#13063293	C₂³	1	8	yes	—
267	#13063293	C₂³	1	8	yes	—
268	#13063293	C₂³	1	4	yes	—
269	#13063293	C₂³	1	8	yes	complemented
270	Q₈×Dic₄₃	C₂³	1	8	yes	complemented
271	C₄×Dic₈₆	C₂³	1	8	yes	complemented
272	C₄×D₁₇₂	C₂³	1	8	yes	complemented
273	C₄×D₁₇₂	C₂³	1	8	yes	complemented
274	D₄×Dic₄₃	C₂³	1	8	yes	—
275	D₄×Dic₄₃	C₂³	1	8	yes	—
276	D₄×Dic₄₃	C₂³	1	8	yes	—
277	D₄×Dic₄₃	C₂³	1	8	yes	complemented
278	D₄×Dic₄₃	C₂³	1	8	yes	complemented
279	D₄×Dic₄₃	C₂³	1	8	yes	complemented
280	#13063287	C₂³	1	8	yes	complemented
281	C₄×C₂²⋊D₄₃	C₂³	1	8	yes	—
282	C₄×C₂²⋊D₄₃	C₂³	1	8	yes	—
283	C₄×C₂²⋊D₄₃	C₂³	1	8	yes	—
284	C₄×C₂²⋊D₄₃	C₂³	1	8	yes	complemented
285	(C₂²⋊D₄₃)⋊C₄	C₂³	1	8	yes	—
286	(C₂²⋊D₄₃)⋊C₄	C₂³	1	8	yes	—
287	(C₂²⋊D₄₃)⋊C₄	C₂³	1	8	yes	—
288	(C₂²⋊D₄₃)⋊C₄	C₂³	1	8	yes	—
289	(C₂²⋊D₄₃)⋊C₄	C₂³	1	8	yes	complemented
290	(C₂²⋊D₄₃)⋊C₄	C₂³	1	8	yes	complemented
291	(C₂²⋊D₄₃)⋊C₄	C₂³	1	8	yes	complemented
292	(C₂²⋊D₄₃)⋊C₄	C₂³	1	8	yes	complemented
293	#13063284	C₂³	1	4	yes	—
294	#13063284	C₂³	1	8	yes	complemented
295	#13063283	C₂³	1	8	yes	complemented
296	#13063283	C₂³	1	8	yes	complemented
297	#13063282	C₂³	1	8	yes	complemented
298	#13063281	C₂³	1	8	yes	—
299	#13063281	C₂³	1	4	yes	—
300	#13063281	C₂³	1	4	yes	complemented
301	#13063281	C₂³	1	8	yes	complemented
302	C₂×C₄⋊Dic₄₃	C₂³	1	4	yes	—
303	C₂×C₄⋊Dic₄₃	C₂³	1	4	yes	—
304	C₂×C₄⋊Dic₄₃	C₂³	1	8	yes	—
305	C₂×C₄⋊Dic₄₃	C₂³	1	4	yes	—
306	C₂×C₄⋊Dic₄₃	C₂³	1	4	yes	—
307	C₂×C₄⋊Dic₄₃	C₂³	1	4	yes	complemented
308	C₂×C₄⋊Dic₄₃	C₂³	1	8	yes	complemented
309	C₂×Dic₄₃⋊C₄	C₂³	1	4	yes	complemented
310	C₂×Dic₄₃⋊C₄	C₂³	1	4	yes	complemented
311	C₄⋊C₄×D₄₃	C₂³	1	8	yes	complemented
312	C₂×C₂²⋊Dic₄₃	C₂³	1	4	yes	—
313	C₂×C₂²⋊Dic₄₃	C₂³	1	2	yes	—
314	C₂×C₂²⋊Dic₄₃	C₂³	1	4	yes	complemented
315	C₂×(C₂×D₄₃)⋊C₄	C₂³	1	8	yes	—
316	C₂×(C₂×D₄₃)⋊C₄	C₂³	1	4	yes	—
317	C₂×(C₂×D₄₃)⋊C₄	C₂³	1	4	yes	—
318	C₂×(C₂×D₄₃)⋊C₄	C₂³	1	4	yes	—
319	C₂×(C₂×D₄₃)⋊C₄	C₂³	1	4	yes	—
320	C₂×(C₂×D₄₃)⋊C₄	C₂³	1	8	yes	complemented
321	C₂×(C₂×D₄₃)⋊C₄	C₂³	1	4	yes	complemented
322	C₂²⋊C₄×D₄₃	C₂³	1	8	yes	—
323	C₂²⋊C₄×D₄₃	C₂³	1	4	yes	—
324	C₂²⋊C₄×D₄₃	C₂³	1	8	yes	complemented
325	C₂²⋊C₄×D₄₃	C₂³	1	4	yes	complemented
326	C₂×C₄×Dic₄₃	C₂³	1	4	yes	complemented
327	C₂⁵×C₄₃	C₂³	1	1	yes	characteristic
328	C₂×#41×C₄₃	C₂³	1	4	yes	—
329	C₂²×D₄×C₄₃	C₂³	1	2	yes	—
330	C₂²×D₄×C₄₃	C₂³	1	4	yes	—
331	C₂³×C₄×C₄₃	C₂³	1	2	yes	—
332	#126×C₄₃	C₂³	1	8	yes	complemented
333	#124×C₄₃	C₂³	1	8	yes	complemented
334	#123×C₄₃	C₂³	1	8	yes	—
335	#123×C₄₃	C₂³	1	8	yes	complemented
336	#123×C₄₃	C₂³	1	4	yes	complemented
337	C₂²⋊Q₈×C₄₃	C₂³	1	4	yes	—
338	C₂²⋊Q₈×C₄₃	C₂³	1	4	yes	—
339	C₂²⋊Q₈×C₄₃	C₂³	1	8	yes	complemented
340	#121×C₄₃	C₂³	1	4	yes	—
341	#121×C₄₃	C₂³	1	4	yes	—
342	#121×C₄₃	C₂³	1	8	yes	complemented
343	#120×C₄₃	C₂³	1	4	yes	—
344	#120×C₄₃	C₂³	1	4	yes	—
345	#120×C₄₃	C₂³	1	8	yes	—
346	#120×C₄₃	C₂³	1	4	yes	complemented
347	C₄×D₄×C₄₃	C₂³	1	8	yes	—
348	C₄×D₄×C₄₃	C₂³	1	8	yes	—
349	C₄×D₄×C₄₃	C₂³	1	8	yes	complemented
350	#117×C₄₃	C₂³	1	4	yes	—
351	#117×C₄₃	C₂³	1	4	yes	complemented
352	C₂×C₂²⋊C₄×C₄₃	C₂³	1	1	yes	characteristic
353	C₂×C₂²⋊C₄×C₄₃	C₂³	1	8	yes	—
354	C₂×C₂²⋊C₄×C₄₃	C₂³	1	1	yes	characteristic
355	C₂×C₂²⋊C₄×C₄₃	C₂³	1	2	yes	—
356	C₂×C₂²⋊C₄×C₄₃	C₂³	1	2	yes	—
357	C₂×C₂²⋊C₄×C₄₃	C₂³	1	4	yes	—
358	C₂×C₂²⋊C₄×C₄₃	C₂³	1	4	yes	complemented
359	C₂⁴×C₄₃	—	2	4	no	—
360	C₂⁴×C₄₃	—	4	4	no	—
361	C₂⁴×C₄₃	C₂⁴	1	1	yes	characteristic
362	C₂⁴×C₄₃	C₂⁴	1	4	yes	—
363	C₂⁴×C₄₃	C₂⁴	1	1	yes	characteristic
364	C₂⁴×C₄₃	C₂⁴	1	2	yes	—
365	C₂⁴×C₄₃	C₂⁴	1	1	yes	characteristic
366	C₂³×D₄₃	—	4	2	no	—
367	C₂³×D₄₃	—	4	4	no	—
368	C₂³×D₄₃	C₂⁴	1	2	yes	—
369	C₂³×D₄₃	C₂⁴	1	4	yes	—
370	C₂³×D₄₃	C₂⁴	1	2	yes	—
371	C₂³×D₄₃	C₂⁴	1	4	yes	—
372	#41×C₄₃	—	4	8	no	—
373	C₂×Q₈×C₄₃	C₂⁴	1	4	yes	—
374	C₂×D₄×C₄₃	—	2	8	no	—
375	C₂×D₄×C₄₃	—	4	8	no	—
376	C₂×D₄×C₄₃	C₂⁴	1	4	yes	—
377	C₂×D₄×C₄₃	C₂⁴	1	8	yes	—
378	C₂×D₄×C₄₃	C₂⁴	1	4	yes	—
379	C₂×D₄×C₄₃	C₂⁴	1	8	yes	—
380	C₂×D₄×C₄₃	C₂⁴	1	4	yes	—
381	C₂²×C₄×C₄₃	—	4	4	no	—
382	C₂²×C₄×C₄₃	C₂⁴	1	4	yes	—
383	C₂²×C₄×C₄₃	C₂⁴	1	2	yes	—
384	C₂²×C₄×C₄₃	C₂⁴	1	2	yes	—
385	C₂²×C₄×C₄₃	C₂⁴	1	4	yes	—
386	C₂²×C₄×C₄₃	C₂⁴	1	4	yes	—
387	C₂²×C₄×C₄₃	C₂⁴	1	2	yes	—
388	C₂²×C₄×C₄₃	C₂⁴	1	8	yes	—
389	C₂×C₂²⋊D₄₃	—	2	8	no	—
390	C₂×C₂²⋊D₄₃	—	2	8	no	—
391	C₂×C₂²⋊D₄₃	—	4	4	no	—
392	C₂×C₂²⋊D₄₃	—	4	4	no	—
393	C₂×C₂²⋊D₄₃	—	4	16	no	—
394	C₂×C₂²⋊D₄₃	—	4	8	no	—
395	C₂×C₂²⋊D₄₃	—	4	8	no	—
396	C₂×C₂²⋊D₄₃	C₂⁴	1	8	yes	—
397	C₂×C₂²⋊D₄₃	C₂⁴	1	4	yes	—
398	C₂×C₂²⋊D₄₃	C₂⁴	1	4	yes	—
399	C₂×C₂²⋊D₄₃	C₂⁴	1	4	yes	—
400	C₂×C₂²⋊D₄₃	C₂⁴	1	4	yes	—
401	C₂×C₂²⋊D₄₃	C₂⁴	1	8	yes	—
402	C₂×C₂²⋊D₄₃	C₂⁴	1	8	yes	—
403	C₂×C₂²⋊D₄₃	C₂⁴	1	4	yes	—
404	C₂×C₂²⋊D₄₃	C₂⁴	1	8	yes	—
405	C₂×C₂²⋊D₄₃	C₂⁴	1	8	yes	—
406	C₂×C₂²⋊D₄₃	C₂⁴	1	4	yes	—
407	C₂²×Dic₄₃	—	2	8	no	—
408	C₂²×Dic₄₃	—	4	4	no	—
409	C₂²×Dic₄₃	—	4	8	no	—
410	C₂²×Dic₄₃	—	4	8	no	—
411	C₂²×Dic₄₃	—	4	4	no	—
412	C₂²×Dic₄₃	—	4	2	no	—
413	C₂²×Dic₄₃	—	4	4	no	—
414	C₂²×Dic₄₃	C₂⁴	1	2	yes	—
415	C₂²×Dic₄₃	C₂⁴	1	4	yes	—
416	C₂²×Dic₄₃	C₂⁴	1	4	yes	—
417	C₂²×Dic₄₃	C₂⁴	1	2	yes	—
418	C₂²×Dic₄₃	C₂⁴	1	2	yes	—
419	C₂²×Dic₄₃	C₂⁴	1	2	yes	—
420	C₂²×Dic₄₃	C₂⁴	1	4	yes	—
421	C₂²×Dic₄₃	C₂⁴	1	2	yes	—
422	C₂²×Dic₄₃	C₂⁴	1	4	yes	—
423	C₂²×Dic₄₃	C₂⁴	1	2	yes	—
424	C₂²×Dic₄₃	C₂⁴	1	8	yes	—
425	C₂²×Dic₄₃	C₂⁴	1	4	yes	—
426	C₂²×Dic₄₃	C₂⁴	1	4	yes	—
427	C₂²×Dic₄₃	C₂⁴	1	2	yes	—
428	C₂²×Dic₄₃	C₂⁴	1	4	yes	—
429	C₂²×Dic₄₃	C₂⁴	1	2	yes	—
430	#10621900	—	4	16	no	—
431	#10621900	—	4	16	no	—
432	#10621900	—	4	8	no	—
433	#10621900	—	4	8	no	—
434	D₄×D₄₃	—	4	16	no	—
435	D₄×D₄₃	—	4	8	no	—
436	D₄×D₄₃	—	4	8	no	—
437	#10621898	—	4	8	no	—
438	#10621898	—	4	8	no	—
439	C₂×D₁₇₂	C₂⁴	1	8	yes	—
440	C₂×D₁₇₂	C₂⁴	1	4	yes	—
441	C₂×D₁₇₂	C₂⁴	1	4	yes	—
442	C₂×C₄×D₄₃	—	4	4	no	—
443	C₂×C₄×D₄₃	C₂⁴	1	8	yes	—
444	C₂×C₄×D₄₃	C₂⁴	1	4	yes	—
445	C₂×C₄×D₄₃	C₂⁴	1	8	yes	—
446	C₂×C₄×D₄₃	C₂⁴	1	8	yes	—
447	C₂×C₄×D₄₃	C₂⁴	1	4	yes	—
448	C₂×Dic₈₆	—	4	4	no	—
449	C₂×Dic₈₆	C₂⁴	1	4	yes	—
450	C₂×Dic₈₆	C₂⁴	1	8	yes	—
451	C₂×Dic₈₆	C₂⁴	1	4	yes	—
452	C₄⋊C₄×C₄₃	C₂⁴	1	4	yes	—
453	C₄⋊C₄×C₄₃	C₂⁴	1	4	yes	—
454	C₄⋊C₄×C₄₃	C₂⁴	1	8	yes	—
455	C₄⋊C₄×C₄₃	C₂⁴	1	8	yes	—
456	C₂²⋊C₄×C₄₃	C₂⁴	1	4	yes	—
457	C₂²⋊C₄×C₄₃	C₂⁴	1	4	yes	—
458	C₂²⋊C₄×C₄₃	C₂⁴	1	8	yes	—
459	C₂²⋊C₄×C₄₃	C₂⁴	1	4	yes	—
460	C₂²⋊C₄×C₄₃	C₂⁴	1	8	yes	—
461	C₂²⋊C₄×C₄₃	C₂⁴	1	4	yes	—
462	C₂²⋊C₄×C₄₃	C₂⁴	1	8	yes	—
463	C₂²⋊C₄×C₄₃	C₂⁴	1	8	yes	—
464	C₂²⋊C₄×C₄₃	C₂⁴	1	8	yes	—
465	C₄²×C₄₃	C₂⁴	1	8	yes	—
466	C₂²⋊Dic₄₃	C₂⁴	1	4	yes	—
467	C₂²⋊Dic₄₃	C₂⁴	1	8	yes	—
468	C₂²⋊Dic₄₃	C₂⁴	1	4	yes	—
469	C₂²⋊Dic₄₃	C₂⁴	1	8	yes	—
470	C₂²⋊Dic₄₃	C₂⁴	1	8	yes	—
471	C₂²⋊Dic₄₃	C₂⁴	1	8	yes	—
472	C₂²⋊Dic₄₃	C₂⁴	1	8	yes	—
473	(C₂×D₄₃)⋊C₄	C₂⁴	1	8	yes	—
474	(C₂×D₄₃)⋊C₄	C₂⁴	1	8	yes	—
475	(C₂×D₄₃)⋊C₄	C₂⁴	1	8	yes	—
476	(C₂×D₄₃)⋊C₄	C₂⁴	1	8	yes	—
477	(C₂×D₄₃)⋊C₄	C₂⁴	1	8	yes	—
478	(C₂×D₄₃)⋊C₄	C₂⁴	1	8	yes	—
479	(C₂×D₄₃)⋊C₄	C₂⁴	1	8	yes	—
480	(C₂×D₄₃)⋊C₄	C₂⁴	1	8	yes	—
481	(C₂×D₄₃)⋊C₄	C₂⁴	1	8	yes	—
482	(C₂×D₄₃)⋊C₄	C₂⁴	1	8	yes	—
483	(C₂×D₄₃)⋊C₄	C₂⁴	1	8	yes	—
484	(C₂×D₄₃)⋊C₄	C₂⁴	1	8	yes	—
485	C₄⋊Dic₄₃	C₂⁴	1	8	yes	—
486	C₄⋊Dic₄₃	C₂⁴	1	8	yes	—
487	C₄⋊Dic₄₃	C₂⁴	1	8	yes	—
488	C₄⋊Dic₄₃	C₂⁴	1	8	yes	—
489	C₄⋊Dic₄₃	C₂⁴	1	8	yes	—
490	C₄⋊Dic₄₃	C₂⁴	1	4	yes	—
491	C₄⋊Dic₄₃	C₂⁴	1	8	yes	—
492	C₄⋊Dic₄₃	C₂⁴	1	8	yes	—
493	C₄⋊Dic₄₃	C₂⁴	1	4	yes	—
494	Dic₄₃⋊C₄	C₂⁴	1	8	yes	—
495	Dic₄₃⋊C₄	C₂⁴	1	8	yes	—
496	Dic₄₃⋊C₄	C₂⁴	1	8	yes	—
497	Dic₄₃⋊C₄	C₂⁴	1	8	yes	—
498	Dic₄₃⋊C₄	C₂⁴	1	8	yes	—
499	Dic₄₃⋊C₄	C₂⁴	1	8	yes	—
500	Dic₄₃⋊C₄	C₂⁴	1	8	yes	—
501	Dic₄₃⋊C₄	C₂⁴	1	8	yes	—
502	C₄×Dic₄₃	C₂⁴	1	8	yes	—
503	C₄×Dic₄₃	C₂⁴	1	8	yes	—
504	C₄×Dic₄₃	C₂⁴	1	8	yes	—
505	C₄×Dic₄₃	C₂⁴	1	8	yes	—
506	C₂³×C₄₃	—	2	2	no	—
507	C₂³×C₄₃	—	2	4	no	—
508	C₂³×C₄₃	—	2	8	no	—
509	C₂³×C₄₃	—	2	2	no	—
510	C₂³×C₄₃	—	2	8	no	—
511	C₂³×C₄₃	—	2	4	no	—
512	C₂³×C₄₃	—	4	2	no	—
513	C₂³×C₄₃	—	4	4	no	—
514	C₂³×C₄₃	—	4	2	no	—
515	C₂³×C₄₃	—	4	4	no	—
516	C₂³×C₄₃	—	4	16	no	—
517	C₂³×C₄₃	H(5,𝔽₂)	1	4	yes	—
518	C₂³×C₄₃	C₂⁵	1	4	yes	—
519	C₂³×C₄₃	C₂⁵	1	2	yes	—
520	C₂³×C₄₃	C₂⁵	1	1	yes	characteristic
521	C₂³×C₄₃	C₂⁵	1	2	yes	—
522	C₂³×C₄₃	C₂⁵	1	2	yes	—
523	C₂²×D₄₃	—	2	4	no	—
524	C₂²×D₄₃	—	2	4	no	—
525	C₂²×D₄₃	—	2	8	no	—
526	C₂²×D₄₃	—	4	4	no	—
527	C₂²×D₄₃	—	4	4	no	—
528	C₂²×D₄₃	—	4	4	no	—
529	C₂²×D₄₃	—	4	4	no	—
530	C₂²×D₄₃	—	4	4	no	—
531	C₂²×D₄₃	—	4	8	no	—
532	C₂²×D₄₃	—	8	8	no	—
533	C₂²×D₄₃	C₂⁵	1	4	yes	—
534	C₂²×D₄₃	C₂⁵	1	4	yes	—
535	Q₈×C₄₃	—	4	4	no	—
536	D₄×C₄₃	—	2	8	no	—
537	D₄×C₄₃	—	2	8	no	—
538	D₄×C₄₃	—	2	16	no	—
539	D₄×C₄₃	—	4	8	no	—
540	D₄×C₄₃	—	4	4	no	—
541	C₂×C₄×C₄₃	—	2	4	no	—
542	C₂×C₄×C₄₃	—	2	8	no	—
543	C₂×C₄×C₄₃	—	4	2	no	—
544	C₂×C₄×C₄₃	—	4	4	no	—
545	C₂×C₄×C₄₃	—	4	2	no	—
546	C₂×C₄×C₄₃	—	4	4	no	—
547	C₂×C₄×C₄₃	—	4	8	no	—
548	C₂×C₄×C₄₃	C₂⁵	1	8	yes	—
549	C₂×C₄×C₄₃	C₂⁵	1	4	yes	—
550	C₂×C₄×C₄₃	C₂⁵	1	4	yes	—
551	C₂×C₄×C₄₃	C₂⁵	1	4	yes	—
552	C₂²⋊D₄₃	—	2	8	no	—
553	C₂²⋊D₄₃	—	2	8	no	—
554	C₂²⋊D₄₃	—	2	8	no	—
555	C₂²⋊D₄₃	—	2	8	no	—
556	C₂²⋊D₄₃	—	2	16	no	—
557	C₂²⋊D₄₃	—	4	4	no	—
558	C₂²⋊D₄₃	—	4	4	no	—
559	C₂²⋊D₄₃	—	4	8	no	—
560	C₂²⋊D₄₃	—	4	8	no	—
561	C₂²⋊D₄₃	—	4	8	no	—
562	C₂²⋊D₄₃	—	4	8	no	—
563	C₂×Dic₄₃	—	2	4	no	—
564	C₂×Dic₄₃	—	2	4	no	—
565	C₂×Dic₄₃	—	2	4	no	—
566	C₂×Dic₄₃	—	2	8	no	—
567	C₂×Dic₄₃	—	2	8	no	—
568	C₂×Dic₄₃	—	2	4	no	—
569	C₂×Dic₄₃	—	4	8	no	—
570	C₂×Dic₄₃	—	4	4	no	—
571	C₂×Dic₄₃	—	4	2	no	—
572	C₂×Dic₄₃	—	4	2	no	—
573	C₂×Dic₄₃	—	4	4	no	—
574	C₂×Dic₄₃	—	4	4	no	—
575	C₂×Dic₄₃	—	4	2	no	—
576	C₂×Dic₄₃	—	4	2	no	—
577	C₂×Dic₄₃	—	4	4	no	—
578	C₂×Dic₄₃	—	4	4	no	—
579	C₂×Dic₄₃	C₂⁵	1	8	yes	—
580	C₂×Dic₄₃	C₂⁵	1	4	yes	—
581	C₂×Dic₄₃	C₂⁵	1	4	yes	—
582	C₂×Dic₄₃	C₂⁵	1	4	yes	—
583	C₂×Dic₄₃	C₂⁵	1	4	yes	—
584	D₁₇₂	—	4	4	no	—
585	D₁₇₂	—	4	4	no	—
586	D₁₇₂	—	4	8	no	—
587	C₄×D₄₃	—	4	8	no	—
588	C₄×D₄₃	—	4	8	no	—
589	C₄×D₄₃	—	4	4	no	—
590	C₄×D₄₃	—	4	4	no	—
591	C₄×D₄₃	—	4	8	no	—
592	Dic₈₆	—	4	8	no	—
593	Dic₈₆	—	4	4	no	—
594	Dic₈₆	—	4	4	no	—
595	#62820	—	43	1	no	maximal, Sylow
596	C₂²×C₄₃	—	2	8	no	—
597	C₂²×C₄₃	—	2	2	no	—
598	C₂²×C₄₃	—	2	2	no	—
599	C₂²×C₄₃	—	2	2	no	—
600	C₂²×C₄₃	—	2	4	no	—
601	C₂²×C₄₃	—	2	4	no	—
602	C₂²×C₄₃	—	2	2	no	—
603	C₂²×C₄₃	—	2	8	no	—
604	C₂²×C₄₃	—	2	4	no	—
605	C₂²×C₄₃	—	4	4	no	—
606	C₂²×C₄₃	—	4	16	no	—
607	C₂²×C₄₃	—	4	4	no	—
608	C₂²×C₄₃	—	8	4	no	—
609	C₂²×C₄₃	C₂×H(5,𝔽₂)	1	2	yes	—
610	C₂²×C₄₃	C₂×H(5,𝔽₂)	1	4	yes	—
611	C₂²×C₄₃	#585	1	4	yes	—
612	C₂²×C₄₃	C₂⁶	1	1	yes	characteristic
613	C₂×D₄₃	—	2	4	no	—
614	C₂×D₄₃	—	2	4	no	—
615	C₂×D₄₃	—	2	8	no	—
616	C₂×D₄₃	—	2	8	no	—
617	C₂×D₄₃	—	8	4	no	—
618	C₂×D₄₃	—	8	4	no	—
619	C₂×D₄₃	—	8	8	no	—
620	C₂×D₄₃	—	16	4	no	—
621	C₄×C₄₃	—	2	4	no	—
622	C₄×C₄₃	—	2	4	no	—
623	C₄×C₄₃	—	2	4	no	—
624	C₄×C₄₃	—	2	8	no	—
625	Dic₄₃	—	2	4	no	—
626	Dic₄₃	—	2	4	no	—
627	Dic₄₃	—	2	4	no	—
628	Dic₄₃	—	2	4	no	—
629	Dic₄₃	—	2	8	no	—
630	#3535	—	43	8	no	—
631	#3534	—	43	8	no	—
632	#3533	—	43	8	no	—
633	#3513	—	43	8	no	—
634	#3513	—	43	8	no	—
635	#3492	—	43	4	no	—
636	#3491	—	43	2	no	—
637	#3491	—	43	2	no	—
638	#3490	—	43	4	no	—
639	#3490	—	43	1	no	—
640	#3490	D₄₃	1	1	yes	characteristic, complemented
641	#3485	—	43	2	no	—
642	#3485	—	43	2	no	—
643	#3484	—	43	2	no	—
644	C₂×#525	—	43	2	no	—
645	C₂²×#123	—	43	1	no	—
646	C₂×C₄₃	—	2	2	no	—
647	C₂×C₄₃	—	2	4	no	—
648	C₂×C₄₃	—	2	4	no	—
649	C₂×C₄₃	—	4	4	no	—
650	C₂×C₄₃	—	4	2	no	—
651	C₂×C₄₃	C₂²×H(5,𝔽₂)	1	1	yes	characteristic
652	C₂×C₄₃	C₂×#585	1	2	yes	—
653	D₄₃	—	4	4	no	—
654	D₄₃	—	4	4	no	—
655	C₂×H(5,𝔽₂)	—	43	2	no	—
656	C₂²×#41	—	43	2	no	—
657	C₂³×D₄	—	43	1	no	—
658	C₂⁴×C₄	—	43	1	no	—
659	#563	—	43	8	no	—
660	#562	—	43	8	no	—
661	#562	—	43	8	no	—
662	#560	—	43	8	no	—
663	#559	—	43	8	no	—
664	#554	—	43	8	no	—
665	#554	—	43	8	no	—
666	#553	—	43	8	no	—
667	#553	—	43	8	no	—
668	#553	—	43	8	no	—
669	#553	—	43	8	no	—
670	#552	—	43	8	no	—
671	#552	—	43	8	no	—
672	#552	—	43	8	no	—
673	#552	—	43	8	no	—
674	#551	—	43	8	no	—
675	#551	—	43	8	no	—
676	#551	—	43	8	no	—
677	#551	—	43	8	no	—
678	#551	—	43	8	no	—
679	#551	—	43	8	no	—
680	#551	—	43	8	no	—
681	#551	—	43	8	no	—
682	#551	C₂×D₄₃	1	8	yes	complemented
683	#547	—	43	8	no	—
684	#547	—	43	8	no	—
685	#547	—	43	8	no	—
686	#547	—	43	8	no	—
687	#546	—	43	8	no	—
688	#546	—	43	8	no	—
689	#546	—	43	8	no	—
690	#546	—	43	8	no	—
691	#546	—	43	8	no	—
692	#546	—	43	8	no	—
693	#546	—	43	8	no	—
694	#546	—	43	8	no	—
695	#546	—	43	8	no	—
696	#546	C₂×D₄₃	1	8	yes	complemented
697	D₄²	—	43	8	no	—
698	D₄²	—	43	8	no	—
699	#544	—	43	4	no	—
700	#543	—	43	4	no	—
701	#543	—	43	1	no	—
702	#543	C₂×D₄₃	1	1	yes	characteristic, complemented
703	#542	—	43	8	no	—
704	#542	—	43	8	no	—
705	#540	—	43	8	no	—
706	#540	—	43	8	no	—
707	#539	—	43	8	no	—
708	#539	—	43	8	no	—
709	#539	—	43	8	no	—
710	#539	—	43	8	no	—
711	#539	—	43	8	no	—
712	#539	—	43	8	no	—
713	#538	—	43	8	no	—
714	#538	—	43	4	no	—
715	#538	—	43	4	no	—
716	#538	—	43	8	no	—
717	#538	—	43	8	no	—
718	#538	—	43	4	no	—
719	#538	C₂×D₄₃	1	4	yes	complemented
720	#537	—	43	4	no	—
721	#536	—	43	4	no	—
722	#536	—	43	4	no	—
723	#535	—	43	4	no	—
724	#534	—	43	2	no	—
725	#534	—	43	4	no	—
726	#534	—	43	4	no	—
727	#534	—	43	4	no	—
728	#534	—	43	2	no	—
729	#534	—	43	1	no	—
730	#534	—	43	4	no	—
731	#534	C₂×D₄₃	1	1	yes	characteristic, complemented
732	#529	—	43	8	no	—
733	#529	—	43	8	no	—
734	#525	—	43	4	no	—
735	#525	—	43	8	no	—
736	#525	—	43	8	no	—
737	#525	—	43	8	no	—
738	#525	—	43	8	no	—
739	#525	—	43	4	no	—
740	#525	—	43	4	no	—
741	#525	—	43	4	no	—
742	#525	C₂×D₄₃	1	4	yes	complemented
743	C₂×#123	—	43	2	no	—
744	C₂×#123	—	43	4	no	—
745	C₂×#123	—	43	2	no	—
746	C₂×#123	—	43	2	no	—
747	C₂×#123	—	43	8	no	—
748	C₂×#123	—	43	4	no	—
749	C₂×#123	—	43	8	no	—
750	C₂×#123	—	43	2	no	—
751	C₂×#123	—	43	4	no	—
752	C₂×C₂²⋊Q₈	—	43	4	no	—
753	C₂×#121	—	43	4	no	—
754	C₂×#120	—	43	2	no	—
755	C₂×#120	—	43	4	no	—
756	C₂×#120	C₂×D₄₃	1	2	yes	complemented
757	#520	—	43	4	no	—
758	#520	—	43	4	no	—
759	#518	—	43	8	no	—
760	#518	—	43	2	no	—
761	#518	—	43	2	no	—
762	#518	C₂×D₄₃	1	2	yes	complemented
763	C₂×C₄×D₄	—	43	4	no	—
764	C₂×C₄×D₄	—	43	4	no	—
765	C₂×#117	—	43	2	no	—
766	C₂²×C₄⋊C₄	—	43	2	no	—
767	C₂²×C₂²⋊C₄	—	43	2	no	—
768	C₂²×C₂²⋊C₄	C₂×D₄₃	1	1	yes	characteristic, complemented
769	C₄₃	#62820	1	1	yes	characteristic, complemented, Sylow
770	C₂⁵	—	43	1	no	—
771	C₂⁵	C₂²×D₄₃	1	1	yes	characteristic
772	H(5,𝔽₂)	—	172	8	no	—
773	C₂×#41	—	43	8	no	—
774	C₂×#41	—	43	8	no	—
775	C₂×#41	—	43	4	no	—
776	C₂×#41	—	43	4	no	—
777	C₂×#41	—	43	4	no	—
778	C₂×#41	—	43	4	no	—
779	C₂×#41	—	172	8	no	—
780	C₂×#41	C₂²×D₄₃	1	4	yes	—
781	C₂²×Q₈	—	43	2	no	—
782	C₂²×D₄	—	43	2	no	—
783	C₂²×D₄	—	43	2	no	—
784	C₂²×D₄	—	43	4	no	—
785	C₂²×D₄	—	43	2	no	—
786	C₂²×D₄	—	43	2	no	—
787	C₂²×D₄	—	43	8	no	—
788	C₂²×D₄	—	43	4	no	—
789	C₂²×D₄	—	43	8	no	—
790	C₂²×D₄	—	43	4	no	—
791	C₂²×D₄	—	43	4	no	—
792	C₂²×D₄	—	172	4	no	—
793	C₂²×D₄	C₂²×D₄₃	1	2	yes	—
794	C₂²×D₄	C₂²×D₄₃	1	4	yes	—
795	C₂³×C₄	—	43	2	no	—
796	C₂³×C₄	—	43	2	no	—
797	C₂³×C₄	—	43	1	no	—
798	C₂³×C₄	—	43	4	no	—
799	C₂³×C₄	—	43	2	no	—
800	C₂³×C₄	—	43	4	no	—
801	C₂³×C₄	—	43	2	no	—
802	C₂³×C₄	—	43	2	no	—
803	C₂³×C₄	—	172	4	no	—
804	C₂³×C₄	C₂²×D₄₃	1	2	yes	—
805	C₄⋊Q₈	—	43	8	no	—
806	C₄⋊Q₈	—	43	8	no	—
807	#127	—	43	8	no	—
808	#126	—	43	8	no	—
809	#126	—	43	8	no	—
810	#126	—	43	8	no	—
811	#126	—	43	8	no	—
812	#126	—	43	8	no	—
813	#126	—	43	8	no	—
814	#126	—	43	8	no	—
815	#126	—	43	8	no	—
816	#126	—	43	8	no	—
817	#126	C₂²×D₄₃	1	8	yes	complemented
818	#125	—	43	8	no	—
819	#125	—	43	8	no	—
820	#125	—	43	8	no	—
821	#125	—	43	8	no	—
822	#125	—	43	8	no	—
823	#125	—	43	8	no	—
824	#124	—	43	8	no	—
825	#124	—	43	8	no	—
826	#124	—	43	8	no	—
827	#124	—	43	8	no	—
828	#124	—	43	8	no	—
829	#124	—	43	8	no	—
830	#124	C₂²×D₄₃	1	8	yes	complemented
831	#123	—	43	4	no	—
832	#123	—	43	4	no	—
833	#123	—	43	8	no	—
834	#123	—	43	4	no	—
835	#123	—	43	4	no	—
836	#123	—	43	8	no	—
837	#123	—	43	8	no	—
838	#123	—	43	8	no	—
839	#123	—	43	8	no	—
840	#123	—	43	8	no	—
841	#123	—	43	4	no	—
842	#123	—	43	4	no	—
843	#123	—	43	4	no	—
844	#123	—	43	4	no	—
845	#123	—	43	8	no	—
846	#123	—	43	8	no	—
847	#123	—	43	8	no	—
848	#123	—	43	8	no	—
849	#123	—	43	8	no	—
850	#123	—	43	8	no	—
851	#123	—	43	4	no	—
852	#123	—	43	4	no	—
853	#123	—	43	8	no	—
854	#123	—	43	4	no	—
855	#123	—	43	4	no	—
856	#123	—	43	8	no	—
857	#123	—	43	8	no	—
858	#123	—	43	8	no	—
859	#123	—	43	4	no	—
860	#123	—	43	8	no	—
861	#123	—	43	8	no	—
862	#123	—	43	8	no	—
863	#123	—	43	8	no	—
864	#123	—	43	8	no	—
865	#123	C₂²×D₄₃	1	8	yes	—
866	#123	C₂²×D₄₃	1	4	yes	complemented
867	#123	C₂²×D₄₃	1	8	yes	complemented
868	C₂²⋊Q₈	—	43	8	no	—
869	C₂²⋊Q₈	—	43	8	no	—
870	C₂²⋊Q₈	—	43	4	no	—
871	C₂²⋊Q₈	—	43	4	no	—
872	C₂²⋊Q₈	—	43	8	no	—
873	C₂²⋊Q₈	—	43	8	no	—
874	C₂²⋊Q₈	—	43	8	no	—
875	C₂²⋊Q₈	—	43	8	no	—
876	C₂²⋊Q₈	—	43	8	no	—
877	C₂²⋊Q₈	—	43	8	no	—
878	C₂²⋊Q₈	—	43	8	no	—
879	C₂²⋊Q₈	—	43	8	no	—
880	C₂²⋊Q₈	—	43	8	no	—
881	C₂²⋊Q₈	—	43	8	no	—
882	C₂²⋊Q₈	—	43	8	no	—
883	C₂²⋊Q₈	—	43	8	no	—
884	C₂²⋊Q₈	—	43	8	no	—
885	C₂²⋊Q₈	—	43	8	no	—
886	C₂²⋊Q₈	C₂²×D₄₃	1	4	yes	—
887	C₂²⋊Q₈	C₂²×D₄₃	1	4	yes	—
888	C₂²⋊Q₈	C₂²×D₄₃	1	8	yes	complemented
889	#121	—	43	8	no	—
890	#121	—	43	8	no	—
891	#121	—	43	8	no	—
892	#121	—	43	8	no	—
893	#121	—	43	8	no	—
894	#121	—	43	8	no	—
895	#121	—	43	8	no	—
896	#121	—	43	8	no	—
897	#121	—	43	8	no	—
898	#121	—	43	8	no	—
899	#121	—	43	4	no	—
900	#121	—	43	4	no	—
901	#121	—	43	8	no	—
902	#121	—	43	8	no	—
903	#121	—	43	8	no	—
904	#121	—	43	8	no	—
905	#121	—	43	8	no	—
906	#121	—	43	8	no	—
907	#121	—	43	8	no	—
908	#121	—	43	8	no	—
909	#121	C₂²×D₄₃	1	4	yes	—
910	#121	C₂²×D₄₃	1	4	yes	—
911	#121	C₂²×D₄₃	1	8	yes	complemented
912	#120	—	43	4	no	—
913	#120	—	43	4	no	—
914	#120	—	43	8	no	—
915	#120	—	43	4	no	—
916	#120	—	43	4	no	—
917	#120	—	43	8	no	—
918	#120	—	43	8	no	—
919	#120	—	43	8	no	—
920	#120	—	43	4	no	—
921	#120	—	43	8	no	—
922	#120	—	43	4	no	—
923	#120	—	43	4	no	—
924	#120	—	43	8	no	—
925	#120	C₂²×D₄₃	1	4	yes	—
926	#120	C₂²×D₄₃	1	4	yes	—
927	#120	C₂²×D₄₃	1	8	yes	—
928	#120	C₂²×D₄₃	1	4	yes	complemented
929	C₄×Q₈	—	43	8	no	—
930	C₄×Q₈	—	43	8	no	—
931	C₄×D₄	—	43	8	no	—
932	C₄×D₄	—	43	8	no	—
933	C₄×D₄	—	43	8	no	—
934	C₄×D₄	—	43	8	no	—
935	C₄×D₄	—	43	8	no	—
936	C₄×D₄	—	43	8	no	—
937	C₄×D₄	—	43	8	no	—
938	C₄×D₄	—	43	8	no	—
939	C₄×D₄	—	43	8	no	—
940	C₄×D₄	—	43	8	no	—
941	C₄×D₄	—	43	8	no	—
942	C₄×D₄	—	43	8	no	—
943	C₄×D₄	—	43	8	no	—
944	C₄×D₄	—	43	8	no	—
945	C₄×D₄	—	43	8	no	—
946	C₄×D₄	—	43	8	no	—
947	C₄×D₄	—	43	8	no	—
948	C₄×D₄	—	43	8	no	—
949	C₄×D₄	—	43	8	no	—
950	C₄×D₄	—	43	8	no	—
951	C₄×D₄	—	43	8	no	—
952	C₄×D₄	C₂²×D₄₃	1	8	yes	—
953	C₄×D₄	C₂²×D₄₃	1	8	yes	—
954	C₄×D₄	C₂²×D₄₃	1	8	yes	complemented
955	#117	—	43	4	no	—
956	#117	—	43	8	no	—
957	#117	—	43	8	no	—
958	#117	—	43	8	no	—
959	#117	—	43	8	no	—
960	#117	—	43	8	no	—
961	#117	—	43	4	no	—
962	#117	—	43	4	no	—
963	#117	—	43	8	no	—
964	#117	C₂²×D₄₃	1	4	yes	—
965	#117	C₂²×D₄₃	1	4	yes	complemented
966	C₂×C₄⋊C₄	—	43	4	no	—
967	C₂×C₄⋊C₄	—	43	4	no	—
968	C₂×C₄⋊C₄	—	43	4	no	—
969	C₂×C₄⋊C₄	—	43	4	no	—
970	C₂×C₄⋊C₄	—	43	8	no	—
971	C₂×C₄⋊C₄	—	43	4	no	—
972	C₂×C₄⋊C₄	—	43	4	no	—
973	C₂×C₄⋊C₄	—	43	4	no	—
974	C₂×C₄⋊C₄	—	43	8	no	—
975	C₂×C₄⋊C₄	—	43	8	no	—
976	C₂×C₂²⋊C₄	—	43	2	no	—
977	C₂×C₂²⋊C₄	—	43	4	no	—
978	C₂×C₂²⋊C₄	—	43	4	no	—
979	C₂×C₂²⋊C₄	—	43	4	no	—
980	C₂×C₂²⋊C₄	—	43	4	no	—
981	C₂×C₂²⋊C₄	—	43	4	no	—
982	C₂×C₂²⋊C₄	—	43	4	no	—
983	C₂×C₂²⋊C₄	—	43	8	no	—
984	C₂×C₂²⋊C₄	—	43	4	no	—
985	C₂×C₂²⋊C₄	—	43	8	no	—
986	C₂×C₂²⋊C₄	—	43	4	no	—
987	C₂×C₂²⋊C₄	—	43	8	no	—
988	C₂×C₂²⋊C₄	—	43	4	no	—
989	C₂×C₂²⋊C₄	—	43	8	no	—
990	C₂×C₂²⋊C₄	C₂²×D₄₃	1	1	yes	characteristic
991	C₂×C₂²⋊C₄	C₂²×D₄₃	1	1	yes	characteristic
992	C₂×C₂²⋊C₄	C₂²×D₄₃	1	2	yes	—
993	C₂×C₂²⋊C₄	C₂²×D₄₃	1	8	yes	—
994	C₂×C₂²⋊C₄	C₂²×D₄₃	1	2	yes	—
995	C₂×C₂²⋊C₄	C₂²×D₄₃	1	4	yes	—
996	C₂×C₂²⋊C₄	C₂²×D₄₃	1	4	yes	complemented
997	C₂×C₄²	—	43	4	no	—
998	C₂⁴	—	2	4	no	—
999	C₂⁴	—	4	4	no	—
1000	C₂⁴	—	43	2	no	—
1001	C₂⁴	—	43	4	no	—
1002	C₂⁴	—	43	2	no	—
1003	C₂⁴	—	43	4	no	—
1004	C₂⁴	—	172	2	no	—
1005	C₂⁴	—	172	4	no	—
1006	C₂⁴	C₂³×D₄₃	1	1	yes	characteristic
1007	C₂⁴	C₂³×D₄₃	1	4	yes	—
1008	C₂⁴	C₂³×D₄₃	1	2	yes	—
1009	C₂⁴	C₂³×D₄₃	1	1	yes	characteristic
1010	C₂⁴	C₂³×D₄₃	1	1	yes	characteristic
1011	#41	—	4	8	no	—
1012	#41	—	172	8	no	—
1013	#41	—	172	8	no	—
1014	#41	—	172	16	no	—
1015	#41	—	172	16	no	—
1016	#41	—	172	8	no	—
1017	#41	—	172	8	no	—
1018	C₂×Q₈	—	43	4	no	—
1019	C₂×Q₈	—	43	8	no	—
1020	C₂×Q₈	—	43	4	no	—
1021	C₂×Q₈	—	172	4	no	—
1022	C₂×Q₈	C₂³×D₄₃	1	4	yes	—
1023	C₂×D₄	—	2	8	no	—
1024	C₂×D₄	—	4	8	no	—
1025	C₂×D₄	—	43	8	no	—
1026	C₂×D₄	—	43	4	no	—
1027	C₂×D₄	—	43	4	no	—
1028	C₂×D₄	—	43	4	no	—
1029	C₂×D₄	—	43	4	no	—
1030	C₂×D₄	—	43	8	no	—
1031	C₂×D₄	—	43	8	no	—
1032	C₂×D₄	—	43	8	no	—
1033	C₂×D₄	—	43	4	no	—
1034	C₂×D₄	—	43	8	no	—
1035	C₂×D₄	—	43	4	no	—
1036	C₂×D₄	—	43	4	no	—
1037	C₂×D₄	—	43	8	no	—
1038	C₂×D₄	—	43	4	no	—
1039	C₂×D₄	—	86	8	no	—
1040	C₂×D₄	—	86	8	no	—
1041	C₂×D₄	—	172	4	no	—
1042	C₂×D₄	—	172	4	no	—
1043	C₂×D₄	—	172	8	no	—
1044	C₂×D₄	—	172	8	no	—
1045	C₂×D₄	—	172	16	no	—
1046	C₂×D₄	—	172	16	no	—
1047	C₂×D₄	—	172	8	no	—
1048	C₂×D₄	—	172	8	no	—
1049	C₂×D₄	C₂³×D₄₃	1	8	yes	—
1050	C₂×D₄	C₂³×D₄₃	1	4	yes	—
1051	C₂×D₄	C₂³×D₄₃	1	4	yes	—
1052	C₂×D₄	C₂³×D₄₃	1	4	yes	—
1053	C₂×D₄	C₂³×D₄₃	1	8	yes	—
1054	C₂²×C₄	—	4	4	no	—
1055	C₂²×C₄	—	43	2	no	—
1056	C₂²×C₄	—	43	4	no	—
1057	C₂²×C₄	—	43	4	no	—
1058	C₂²×C₄	—	43	2	no	—
1059	C₂²×C₄	—	43	2	no	—
1060	C₂²×C₄	—	43	2	no	—
1061	C₂²×C₄	—	43	4	no	—
1062	C₂²×C₄	—	43	2	no	—
1063	C₂²×C₄	—	43	4	no	—
1064	C₂²×C₄	—	43	2	no	—
1065	C₂²×C₄	—	43	8	no	—
1066	C₂²×C₄	—	43	4	no	—
1067	C₂²×C₄	—	43	4	no	—
1068	C₂²×C₄	—	43	2	no	—
1069	C₂²×C₄	—	43	4	no	—
1070	C₂²×C₄	—	43	2	no	—
1071	C₂²×C₄	—	43	8	no	—
1072	C₂²×C₄	—	43	8	no	—
1073	C₂²×C₄	—	43	4	no	—
1074	C₂²×C₄	—	43	8	no	—
1075	C₂²×C₄	—	43	4	no	—
1076	C₂²×C₄	—	86	8	no	—
1077	C₂²×C₄	—	172	4	no	—
1078	C₂²×C₄	—	172	8	no	—
1079	C₂²×C₄	—	172	8	no	—
1080	C₂²×C₄	—	172	4	no	—
1081	C₂²×C₄	—	172	4	no	—
1082	C₂²×C₄	—	172	2	no	—
1083	C₂²×C₄	—	172	4	no	—
1084	C₂²×C₄	C₂³×D₄₃	1	4	yes	—
1085	C₂²×C₄	C₂³×D₄₃	1	2	yes	—
1086	C₂²×C₄	C₂³×D₄₃	1	4	yes	—
1087	C₂²×C₄	C₂³×D₄₃	1	2	yes	—
1088	C₂²×C₄	C₂³×D₄₃	1	4	yes	—
1089	C₂²×C₄	C₂³×D₄₃	1	2	yes	—
1090	C₂²×C₄	C₂³×D₄₃	1	8	yes	—
1091	C₄⋊C₄	—	43	8	no	—
1092	C₄⋊C₄	—	43	8	no	—
1093	C₄⋊C₄	—	43	8	no	—
1094	C₄⋊C₄	—	43	8	no	—
1095	C₄⋊C₄	—	43	8	no	—
1096	C₄⋊C₄	—	43	8	no	—
1097	C₄⋊C₄	—	43	4	no	—
1098	C₄⋊C₄	—	43	8	no	—
1099	C₄⋊C₄	—	43	8	no	—
1100	C₄⋊C₄	—	43	8	no	—
1101	C₄⋊C₄	—	43	8	no	—
1102	C₄⋊C₄	—	43	8	no	—
1103	C₄⋊C₄	—	43	8	no	—
1104	C₄⋊C₄	—	43	4	no	—
1105	C₄⋊C₄	—	43	8	no	—
1106	C₄⋊C₄	—	43	8	no	—
1107	C₄⋊C₄	—	43	8	no	—
1108	C₄⋊C₄	C₂³×D₄₃	1	4	yes	—
1109	C₄⋊C₄	C₂³×D₄₃	1	4	yes	—
1110	C₄⋊C₄	C₂³×D₄₃	1	8	yes	—
1111	C₄⋊C₄	C₂³×D₄₃	1	8	yes	—
1112	C₂²⋊C₄	—	43	4	no	—
1113	C₂²⋊C₄	—	43	4	no	—
1114	C₂²⋊C₄	—	43	8	no	—
1115	C₂²⋊C₄	—	43	8	no	—
1116	C₂²⋊C₄	—	43	8	no	—
1117	C₂²⋊C₄	—	43	8	no	—
1118	C₂²⋊C₄	—	43	8	no	—
1119	C₂²⋊C₄	—	43	8	no	—
1120	C₂²⋊C₄	—	43	8	no	—
1121	C₂²⋊C₄	—	43	8	no	—
1122	C₂²⋊C₄	—	43	8	no	—
1123	C₂²⋊C₄	—	43	8	no	—
1124	C₂²⋊C₄	—	43	8	no	—
1125	C₂²⋊C₄	—	43	8	no	—
1126	C₂²⋊C₄	—	43	8	no	—
1127	C₂²⋊C₄	—	43	8	no	—
1128	C₂²⋊C₄	—	43	8	no	—
1129	C₂²⋊C₄	—	43	8	no	—
1130	C₂²⋊C₄	—	43	8	no	—
1131	C₂²⋊C₄	C₂³×D₄₃	1	4	yes	—
1132	C₂²⋊C₄	C₂³×D₄₃	1	4	yes	—
1133	C₂²⋊C₄	C₂³×D₄₃	1	8	yes	—
1134	C₂²⋊C₄	C₂³×D₄₃	1	8	yes	—
1135	C₂²⋊C₄	C₂³×D₄₃	1	4	yes	—
1136	C₂²⋊C₄	C₂³×D₄₃	1	8	yes	—
1137	C₂²⋊C₄	C₂³×D₄₃	1	4	yes	—
1138	C₂²⋊C₄	C₂³×D₄₃	1	8	yes	—
1139	C₂²⋊C₄	C₂³×D₄₃	1	8	yes	—
1140	C₄²	—	43	8	no	—
1141	C₄²	—	43	8	no	—
1142	C₄²	—	43	8	no	—
1143	C₄²	—	43	8	no	—
1144	C₄²	C₂³×D₄₃	1	8	yes	—
1145	C₂³	—	2	2	no	—
1146	C₂³	—	2	4	no	—
1147	C₂³	—	2	8	no	—
1148	C₂³	—	2	2	no	—
1149	C₂³	—	2	8	no	—
1150	C₂³	—	2	4	no	—
1151	C₂³	—	4	2	no	—
1152	C₂³	—	4	4	no	—
1153	C₂³	—	4	2	no	—
1154	C₂³	—	4	4	no	—
1155	C₂³	—	4	16	no	—
1156	C₂³	—	43	4	no	—
1157	C₂³	—	43	4	no	—
1158	C₂³	—	86	4	no	—
1159	C₂³	—	86	4	no	—
1160	C₂³	—	86	8	no	—
1161	C₂³	—	344	8	no	—
1162	C₂³	—	172	4	no	—
1163	C₂³	—	172	4	no	—
1164	C₂³	—	172	4	no	—
1165	C₂³	—	172	4	no	—
1166	C₂³	—	172	4	no	—
1167	C₂³	—	172	8	no	—
1168	C₂³	#13063371	1	4	yes	—
1169	C₂³	C₂⁴×D₄₃	1	4	yes	—
1170	C₂³	C₂⁴×D₄₃	1	2	yes	—
1171	C₂³	C₂⁴×D₄₃	1	1	yes	characteristic
1172	C₂³	C₂⁴×D₄₃	1	2	yes	—
1173	C₂³	C₂⁴×D₄₃	1	2	yes	—
1174	Q₈	—	4	4	no	—
1175	Q₈	—	172	8	no	—
1176	Q₈	—	172	4	no	—
1177	Q₈	—	172	4	no	—
1178	D₄	—	2	8	no	—
1179	D₄	—	2	8	no	—
1180	D₄	—	2	16	no	—
1181	D₄	—	4	8	no	—
1182	D₄	—	4	4	no	—
1183	D₄	—	86	8	no	—
1184	D₄	—	86	8	no	—
1185	D₄	—	86	8	no	—
1186	D₄	—	86	8	no	—
1187	D₄	—	86	16	no	—
1188	D₄	—	172	4	no	—
1189	D₄	—	172	8	no	—
1190	D₄	—	172	4	no	—
1191	D₄	—	172	8	no	—
1192	D₄	—	172	4	no	—
1193	D₄	—	172	4	no	—
1194	D₄	—	172	8	no	—
1195	D₄	—	172	8	no	—
1196	D₄	—	172	8	no	—
1197	C₂×C₄	—	2	4	no	—
1198	C₂×C₄	—	2	8	no	—
1199	C₂×C₄	—	4	2	no	—
1200	C₂×C₄	—	4	4	no	—
1201	C₂×C₄	—	4	2	no	—
1202	C₂×C₄	—	4	4	no	—
1203	C₂×C₄	—	4	8	no	—
1204	C₂×C₄	—	43	8	no	—
1205	C₂×C₄	—	43	4	no	—
1206	C₂×C₄	—	43	4	no	—
1207	C₂×C₄	—	43	4	no	—
1208	C₂×C₄	—	43	4	no	—
1209	C₂×C₄	—	86	4	no	—
1210	C₂×C₄	—	86	4	no	—
1211	C₂×C₄	—	86	8	no	—
1212	C₂×C₄	—	86	8	no	—
1213	C₂×C₄	—	86	4	no	—
1214	C₂×C₄	—	86	4	no	—
1215	C₂×C₄	—	172	8	no	—
1216	C₂×C₄	—	172	4	no	—
1217	C₂×C₄	—	172	4	no	—
1218	C₂×C₄	—	172	8	no	—
1219	C₂×C₄	—	172	8	no	—
1220	C₂×C₄	—	172	2	no	—
1221	C₂×C₄	—	172	2	no	—
1222	C₂×C₄	—	172	4	no	—
1223	C₂×C₄	—	172	4	no	—
1224	C₂×C₄	—	172	2	no	—
1225	C₂×C₄	—	172	2	no	—
1226	C₂×C₄	—	172	4	no	—
1227	C₂×C₄	—	172	8	no	—
1228	C₂×C₄	—	172	4	no	—
1229	C₂×C₄	—	172	4	no	—
1230	C₂×C₄	C₂⁴×D₄₃	1	8	yes	—
1231	C₂×C₄	C₂⁴×D₄₃	1	4	yes	—
1232	C₂×C₄	C₂⁴×D₄₃	1	4	yes	—
1233	C₂×C₄	C₂⁴×D₄₃	1	4	yes	—
1234	C₂²	—	2	8	no	—
1235	C₂²	—	2	2	no	—
1236	C₂²	—	2	2	no	—
1237	C₂²	—	2	2	no	—
1238	C₂²	—	2	4	no	—
1239	C₂²	—	2	2	no	—
1240	C₂²	—	2	4	no	—
1241	C₂²	—	2	8	no	—
1242	C₂²	—	2	4	no	—
1243	C₂²	—	4	4	no	—
1244	C₂²	—	4	16	no	—
1245	C₂²	—	4	4	no	—
1246	C₂²	—	8	4	no	—
1247	C₂²	—	86	4	no	—
1248	C₂²	—	86	4	no	—
1249	C₂²	—	86	8	no	—
1250	C₂²	—	86	8	no	—
1251	C₂²	—	344	4	no	—
1252	C₂²	—	344	8	no	—
1253	C₂²	—	344	4	no	—
1254	C₂²	—	688	4	no	—
1255	C₂²	C₂×#13063371	1	4	yes	—
1256	C₂²	C₂×#13063371	1	2	yes	—
1257	C₂²	#14583734	1	4	yes	—
1258	C₂²	C₂⁵×D₄₃	1	1	yes	characteristic
1259	C₄	—	2	4	no	—
1260	C₄	—	2	4	no	—
1261	C₄	—	2	4	no	—
1262	C₄	—	2	8	no	—
1263	C₄	—	86	4	no	—
1264	C₄	—	86	4	no	—
1265	C₄	—	86	4	no	—
1266	C₄	—	86	4	no	—
1267	C₄	—	86	8	no	—
1268	C₂	—	2	2	no	—
1269	C₂	—	2	4	no	—
1270	C₂	—	2	4	no	—
1271	C₂	—	4	2	no	—
1272	C₂	—	4	4	no	—
1273	C₂	—	172	4	no	—
1274	C₂	—	172	4	no	—
1275	C₂	C₂²×#13063371	1	1	yes	characteristic
1276	C₂	C₂×#14583734	1	2	yes	—

	subgroup	G/H
center, Frattini	C₂²	C₂⁵×D₄₃
commutator, socle, cosocle	C₂²×C₄₃	C₂⁶
Fitting	C₄₃×#3490	C₂
hypercenter	#3490	D₄₃
hypocenter	C₄₃	#62820
LCS	G ▷ C₂²×C₄₃ ▷ C₄₃
UCS	C₁ ◁ C₂² ◁ #3490

Complements

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

N	H ≅ G/N	type
1. #19148800	C₂	semidirect
2. #19148781	C₂	semidirect
3. #19148763	C₂	semidirect
4. #19148536	C₂	semidirect
5. #19148522	C₂	semidirect
6. #19148301	C₂	semidirect
7. #19148294	C₂	semidirect
8. #19148288	C₂	semidirect
9. #19148284	C₂	semidirect
10. #19148278	C₂	semidirect
11. #19148240	C₂	semidirect
12. #19148236	C₂	semidirect
13. #19148224	C₂	semidirect
14. C₂×#14583405	C₂	semidirect
15. C₂²×#13063309	C₂	semidirect
16. C₄₃×#3490	C₂	semidirect
17. C₂×#13063370	C₂²	semidirect
18. C₂²×#10621900	C₂²	semidirect
20. C₂⁴×Dic₄₃	C₂²	semidirect
21. #14583651	C₂²	semidirect
22. #14583646	C₂²	semidirect
23. #14583643	C₂²	semidirect
24. #14583637	C₂²	semidirect
25. #14583631	C₂²	semidirect
26. #14583607	C₂²	semidirect
27. #14583606	C₂²	semidirect
28. #14583601	C₂²	semidirect
29. #14583601	C₂²	semidirect
30. #14583600	C₂²	semidirect
31. #14583595	C₂²	semidirect
32. #14583591	C₂²	semidirect
33. #14583591	C₂²	semidirect
34. #14583589	C₂²	semidirect
35. #14583582	C₂²	semidirect
36. #14583578	C₂²	semidirect
37. #14583576	C₂²	semidirect
38. #14583576	C₂²	semidirect
39. #14583575	C₂²	semidirect
40. #14583575	C₂²	semidirect
41. #14583573	C₂²	semidirect
42. #14583572	C₂²	semidirect
43. #14583572	C₂²	semidirect
44. #14583553	C₂²	semidirect
45. #14583553	C₂²	semidirect
46. #14583549	C₂²	semidirect
47. #14583547	C₂²	semidirect
48. #14583544	C₂²	semidirect
49. #14583544	C₂²	semidirect
50. #14583541	C₂²	semidirect
51. #14583539	C₂²	semidirect
52. #14583539	C₂²	semidirect
53. #14583538	C₂²	semidirect
54. #14583537	C₂²	semidirect
55. #14583536	C₂²	semidirect
56. #14583536	C₂²	semidirect
57. D₄×C₂²⋊D₄₃	C₂²	semidirect
58. #14583531	C₂²	semidirect
59. #14583527	C₂²	semidirect
60. #14583525	C₂²	semidirect
61. #14583524	C₂²	semidirect
62. #14583518	C₂²	semidirect
63. #14583515	C₂²	semidirect
64. #14583502	C₂²	semidirect
65. #14583501	C₂²	semidirect
66. #14583498	C₂²	semidirect
67. #14583493	C₂²	semidirect
68. #14583493	C₂²	semidirect
69. #14583493	C₂²	semidirect
70. #14583491	C₂²	semidirect
71. #14583490	C₂²	semidirect
72. #14583489	C₂²	semidirect
73. #14583487	C₂²	semidirect
74. #14583486	C₂²	semidirect
75. #14583486	C₂²	semidirect
76. #14583483	C₂²	semidirect
77. #14583482	C₂²	semidirect
78. #14583477	C₂²	semidirect
79. #14583475	C₂²	semidirect
80. #14583471	C₂²	semidirect
81. #14583464	C₂²	semidirect
83. #14583461	C₂²	semidirect
84. #14583461	C₂²	semidirect
85. #14583459	C₂²	semidirect
86. #14583459	C₂²	semidirect
88. #14583457	C₂²	semidirect
89. #14583435	C₂²	semidirect
90. #14583429	C₂²	semidirect
91. #14583411	C₂²	semidirect
92. #14583410	C₂²	semidirect
93. #14583405	C₂²	semidirect
94. #14583405	C₂²	semidirect
95. #14583405	C₂²	semidirect
96. #14583405	C₂²	semidirect
97. #14583405	C₂²	semidirect
98. #14583405	C₂²	semidirect
99. C₂×#13063309	C₂²	semidirect
100. C₂×#13063309	C₂²	semidirect
101. C₂×#13063309	C₂²	semidirect
102. C₂×#13063309	C₂²	semidirect
103. C₂×#13063309	C₂²	semidirect
104. C₂×#13063309	C₂²	semidirect
105. C₂×#13063309	C₂²	semidirect
106. C₂×#13063306	C₂²	semidirect
107. #123×D₄₃	C₂²	semidirect
108. C₂×#13063302	C₂²	semidirect
109. C₂×#13063297	C₂²	semidirect
110. C₂×#13063294	C₂²	semidirect
111. #120×D₄₃	C₂²	semidirect
112. #14583382	C₂²	semidirect
113. #14583379	C₂²	semidirect
114. #14583372	C₂²	semidirect
115. #14583372	C₂²	semidirect
116. #14583371	C₂²	semidirect
117. C₂×D₄×Dic₄₃	C₂²	semidirect
118. C₂×(C₂²⋊D₄₃)⋊C₄	C₂²	semidirect
119. C₂×#13063281	C₂²	semidirect
120. C₂²×C₄⋊Dic₄₃	C₂²	semidirect
121. C₂²×(C₂×D₄₃)⋊C₄	C₂²	semidirect
122. C₄₃×#551	C₂²	semidirect
123. C₄₃×#546	C₂²	semidirect
124. C₄₃×#543	C₂²	semidirect
125. C₄₃×#538	C₂²	semidirect
126. C₄₃×#534	C₂²	semidirect
127. C₄₃×#525	C₂²	semidirect
128. C₂×#120×C₄₃	C₂²	semidirect
129. C₄₃×#518	C₂²	semidirect
130. C₂²×C₂²⋊C₄×C₄₃	C₂²	semidirect
139. C₂×#10621900	C₂³	semidirect
140. C₂²×Dic₈₆	C₂³	semidirect
148. C₂²×C₂²⋊D₄₃	C₂³	semidirect
159. C₂³×Dic₄₃	C₂³	semidirect
160. C₂²×C₄×D₄₃	C₂³	semidirect
161. #13063325	C₂³	semidirect
162. #13063324	C₂³	semidirect
164. #13063320	C₂³	semidirect
165. #13063320	C₂³	semidirect
166. #13063320	C₂³	semidirect
167. #13063320	C₂³	semidirect
168. #13063320	C₂³	semidirect
169. #13063319	C₂³	semidirect
170. #13063318	C₂³	semidirect
171. #13063318	C₂³	semidirect
172. #13063318	C₂³	semidirect
173. #13063317	C₂³	semidirect
174. #13063316	C₂³	semidirect
175. #13063316	C₂³	semidirect
176. #13063316	C₂³	semidirect
177. #13063315	C₂³	semidirect
178. #13063315	C₂³	semidirect
179. #13063314	C₂³	semidirect
180. #13063313	C₂³	semidirect
182. #13063311	C₂³	semidirect
183. #13063311	C₂³	semidirect
184. #13063311	C₂³	semidirect
185. #13063310	C₂³	semidirect
186. #13063310	C₂³	semidirect
187. #13063310	C₂³	semidirect
201. #13063309	C₂³	semidirect
202. #13063309	C₂³	semidirect
203. #13063309	C₂³	semidirect
204. #13063309	C₂³	semidirect
205. #13063309	C₂³	semidirect
206. #13063309	C₂³	semidirect
209. #13063308	C₂³	semidirect
211. #13063307	C₂³	semidirect
212. #13063307	C₂³	semidirect
213. #13063307	C₂³	semidirect
214. #13063307	C₂³	semidirect
217. #13063306	C₂³	semidirect
218. #13063306	C₂³	semidirect
219. #13063305	C₂³	semidirect
220. #13063305	C₂³	semidirect
221. #13063305	C₂³	semidirect
224. #13063304	C₂³	semidirect
225. #13063303	C₂³	semidirect
226. #13063303	C₂³	semidirect
230. #13063302	C₂³	semidirect
231. #13063302	C₂³	semidirect
232. #13063302	C₂³	semidirect
233. #13063302	C₂³	semidirect
234. #13063302	C₂³	semidirect
235. #13063301	C₂³	semidirect
236. #13063301	C₂³	semidirect
237. #13063300	C₂³	semidirect
241. #13063299	C₂³	semidirect
242. #13063299	C₂³	semidirect
245. #13063298	C₂³	semidirect
246. #13063298	C₂³	semidirect
252. #13063297	C₂³	semidirect
253. #13063297	C₂³	semidirect
254. #13063297	C₂³	semidirect
256. #13063296	C₂³	semidirect
260. #13063295	C₂³	semidirect
261. #13063295	C₂³	semidirect
269. #13063293	C₂³	semidirect
270. Q₈×Dic₄₃	C₂³	semidirect
271. C₄×Dic₈₆	C₂³	semidirect
272. C₄×D₁₇₂	C₂³	semidirect
273. C₄×D₁₇₂	C₂³	semidirect
277. D₄×Dic₄₃	C₂³	semidirect
278. D₄×Dic₄₃	C₂³	semidirect
279. D₄×Dic₄₃	C₂³	semidirect
280. #13063287	C₂³	semidirect
284. C₄×C₂²⋊D₄₃	C₂³	semidirect
289. (C₂²⋊D₄₃)⋊C₄	C₂³	semidirect
290. (C₂²⋊D₄₃)⋊C₄	C₂³	semidirect
291. (C₂²⋊D₄₃)⋊C₄	C₂³	semidirect
292. (C₂²⋊D₄₃)⋊C₄	C₂³	semidirect
294. #13063284	C₂³	semidirect
295. #13063283	C₂³	semidirect
296. #13063283	C₂³	semidirect
297. #13063282	C₂³	semidirect
300. #13063281	C₂³	semidirect
301. #13063281	C₂³	semidirect
307. C₂×C₄⋊Dic₄₃	C₂³	semidirect
308. C₂×C₄⋊Dic₄₃	C₂³	semidirect
309. C₂×Dic₄₃⋊C₄	C₂³	semidirect
310. C₂×Dic₄₃⋊C₄	C₂³	semidirect
311. C₄⋊C₄×D₄₃	C₂³	semidirect
314. C₂×C₂²⋊Dic₄₃	C₂³	semidirect
320. C₂×(C₂×D₄₃)⋊C₄	C₂³	semidirect
321. C₂×(C₂×D₄₃)⋊C₄	C₂³	semidirect
324. C₂²⋊C₄×D₄₃	C₂³	semidirect
325. C₂²⋊C₄×D₄₃	C₂³	semidirect
326. C₂×C₄×Dic₄₃	C₂³	semidirect
332. #126×C₄₃	C₂³	semidirect
333. #124×C₄₃	C₂³	semidirect
335. #123×C₄₃	C₂³	semidirect
336. #123×C₄₃	C₂³	semidirect
339. C₂²⋊Q₈×C₄₃	C₂³	semidirect
342. #121×C₄₃	C₂³	semidirect
346. #120×C₄₃	C₂³	semidirect
349. C₄×D₄×C₄₃	C₂³	semidirect
351. #117×C₄₃	C₂³	semidirect
358. C₂×C₂²⋊C₄×C₄₃	C₂³	semidirect
640. #3490	D₄₃	semidirect
682. #551	C₂×D₄₃	semidirect
696. #546	C₂×D₄₃	semidirect
702. #543	C₂×D₄₃	semidirect
719. #538	C₂×D₄₃	semidirect
731. #534	C₂×D₄₃	semidirect
742. #525	C₂×D₄₃	semidirect
756. C₂×#120	C₂×D₄₃	semidirect
762. #518	C₂×D₄₃	semidirect
768. C₂²×C₂²⋊C₄	C₂×D₄₃	semidirect
769. C₄₃	#62820	semidirect
817. #126	C₂²×D₄₃	semidirect
830. #124	C₂²×D₄₃	semidirect
866. #123	C₂²×D₄₃	semidirect
867. #123	C₂²×D₄₃	semidirect
888. C₂²⋊Q₈	C₂²×D₄₃	semidirect
911. #121	C₂²×D₄₃	semidirect
928. #120	C₂²×D₄₃	semidirect
954. C₄×D₄	C₂²×D₄₃	semidirect
965. #117	C₂²×D₄₃	semidirect
996. C₂×C₂²⋊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
#19148800	2
#19148781	2
#19148763	2
#19148536	2
#19148522	2
#19148301	2
#19148294	2
#19148288	2
#19148284	2
#19148278	2
#19148240	2
#19148236	2
#19148224	2
C₂×#14583405	2
C₂²×#13063309	2
C₄₃×#3490	2
#62820	43