Subgroups — #26005158

Order 11008.

7286 conjugacy classes of subgroups.

The subgroup lattice has 1312 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#19148334	C₂	1	8	yes	maximal, complemented
2	#19148317	C₂	1	8	yes	maximal, complemented
3	#19148310	C₂	1	4	yes	maximal, complemented
4	#19148296	C₂	1	4	yes	maximal, complemented
5	#19148294	C₂	1	1	yes	maximal, characteristic, complemented
6	#19148292	C₂	1	1	yes	maximal, characteristic, complemented
7	#19148288	C₂	1	2	yes	maximal, complemented
8	#19148284	C₂	1	1	yes	maximal, characteristic, complemented
9	#19148282	C₂	1	2	yes	maximal, complemented
10	#19148150	C₂	1	8	yes	maximal, complemented
11	#19148146	C₂	1	8	yes	maximal, complemented
12	#19147997	C₂	1	1	yes	maximal, characteristic, complemented
13	#19147977	C₂	1	4	yes	maximal, complemented
14	#19147921	C₂	1	1	yes	maximal, characteristic, complemented
15	#19147887	C₂	1	4	yes	maximal, complemented
16	C₂×#14583405	C₂	1	2	yes	maximal, complemented
17	#19147793	C₂	1	2	yes	maximal, complemented
18	C₂²×#13063281	C₂	1	1	yes	maximal, characteristic, complemented
19	C₄₃×#3490	C₂	1	1	yes	maximal, characteristic, complemented
20	C₂²×#10621900	C₂²	1	2	yes	—
21	C₂⁴×Dic₄₃	C₂²	1	1	yes	characteristic
22	#14583618	C₂²	1	8	yes	complemented
23	#14583616	C₂²	1	8	yes	complemented
24	#14583613	C₂²	1	8	yes	complemented
25	#14583611	C₂²	1	8	yes	complemented
26	#14583608	C₂²	1	8	yes	complemented
27	#14583603	C₂²	1	8	yes	complemented
28	#14583598	C₂²	1	8	yes	complemented
29	#14583594	C₂²	1	8	yes	complemented
30	#14583592	C₂²	1	8	yes	complemented
31	#14583592	C₂²	1	8	yes	complemented
32	#14583591	C₂²	1	8	yes	complemented
33	#14583589	C₂²	1	8	yes	complemented
34	#14583586	C₂²	1	8	yes	complemented
35	#14583586	C₂²	1	8	yes	complemented
36	#14583586	C₂²	1	8	yes	complemented
37	#14583585	C₂²	1	8	yes	complemented
38	#14583582	C₂²	1	8	yes	complemented
39	#14583582	C₂²	1	8	yes	complemented
40	#14583580	C₂²	1	8	yes	complemented
41	#14583580	C₂²	1	8	yes	complemented
42	#14583578	C₂²	1	8	yes	complemented
43	#14583576	C₂²	1	8	yes	complemented
44	#14583575	C₂²	1	8	yes	complemented
45	#14583575	C₂²	1	8	yes	complemented
46	#14583575	C₂²	1	8	yes	complemented
47	#14583548	C₂²	1	8	yes	complemented
48	#14583547	C₂²	1	8	yes	complemented
49	#14583543	C₂²	1	8	yes	complemented
50	#14583539	C₂²	1	8	yes	complemented
51	#14583536	C₂²	1	8	yes	complemented
52	#14583528	C₂²	1	4	yes	complemented
53	#14583528	C₂²	1	8	yes	complemented
54	#14583525	C₂²	1	2	yes	—
55	#14583525	C₂²	1	1	yes	characteristic
56	#14583517	C₂²	1	8	yes	complemented
57	#14583513	C₂²	1	8	yes	complemented
58	#14583506	C₂²	1	8	yes	complemented
59	#14583499	C₂²	1	8	yes	complemented
60	#14583498	C₂²	1	4	yes	complemented
61	#14583494	C₂²	1	4	yes	complemented
62	#14583491	C₂²	1	8	yes	complemented
63	#14583487	C₂²	1	4	yes	complemented
64	#14583484	C₂²	1	8	yes	complemented
65	#14583476	C₂²	1	4	yes	complemented
66	#14583471	C₂²	1	4	yes	complemented
67	#14583464	C₂²	1	4	yes	complemented
68	#14583461	C₂²	1	1	yes	characteristic
69	#14583458	C₂²	1	2	yes	—
70	#14583452	C₂²	1	4	yes	complemented
71	#14583451	C₂²	1	4	yes	complemented
72	#14583451	C₂²	1	4	yes	complemented
73	#14583451	C₂²	1	8	yes	complemented
74	#14583445	C₂²	1	4	yes	complemented
75	#14583444	C₂²	1	4	yes	complemented
76	#14583444	C₂²	1	4	yes	complemented
77	#14583435	C₂²	1	4	yes	complemented
78	#14583435	C₂²	1	4	yes	complemented
79	#14583432	C₂²	1	8	yes	complemented
80	#14583430	C₂²	1	4	yes	complemented
81	#14583430	C₂²	1	4	yes	complemented
82	#14583430	C₂²	1	8	yes	complemented
83	#14583429	C₂²	1	8	yes	complemented
84	#14583429	C₂²	1	8	yes	complemented
85	#14583428	C₂²	1	8	yes	complemented
86	#14583426	C₂²	1	8	yes	complemented
87	#14583426	C₂²	1	8	yes	complemented
88	#14583426	C₂²	1	8	yes	complemented
89	#14583410	C₂²	1	4	yes	complemented
90	#14583407	C₂²	1	4	yes	complemented
91	#14583405	C₂²	1	8	yes	—
92	#14583405	C₂²	1	8	yes	—
93	#14583405	C₂²	1	4	yes	complemented
94	#14583405	C₂²	1	8	yes	complemented
95	#14583405	C₂²	1	4	yes	complemented
96	#14583405	C₂²	1	4	yes	complemented
97	#14583405	C₂²	1	4	yes	complemented
98	#14583405	C₂²	1	4	yes	complemented
99	C₂×#13063309	C₂²	1	2	yes	—
100	C₂×#13063306	C₂²	1	2	yes	—
101	C₂×#13063302	C₂²	1	4	yes	complemented
102	C₂×#13063297	C₂²	1	4	yes	complemented
103	C₂×#13063294	C₂²	1	2	yes	—
104	#14583378	C₂²	1	8	yes	complemented
105	#14583378	C₂²	1	8	yes	complemented
106	#14583376	C₂²	1	4	yes	complemented
107	#14583374	C₂²	1	2	yes	—
108	#14583372	C₂²	1	2	yes	—
109	#14583372	C₂²	1	2	yes	—
110	#14583372	C₂²	1	4	yes	complemented
111	#41×Dic₄₃	C₂²	1	4	yes	complemented
112	#14583367	C₂²	1	4	yes	complemented
113	C₄×#10621900	C₂²	1	8	yes	complemented
114	C₄×#10621900	C₂²	1	8	yes	complemented
115	C₄×#10621900	C₂²	1	8	yes	complemented
116	C₂×D₄×Dic₄₃	C₂²	1	4	yes	complemented
117	C₂×(C₂²⋊D₄₃)⋊C₄	C₂²	1	4	yes	complemented
118	C₂×#13063281	C₂²	1	1	yes	characteristic
119	C₂×#13063281	C₂²	1	1	yes	characteristic
120	C₂×#13063281	C₂²	1	1	yes	characteristic
121	C₂×#13063281	C₂²	1	2	yes	—
122	C₂×#13063281	C₂²	1	1	yes	characteristic
123	C₂×#13063281	C₂²	1	2	yes	complemented
124	C₂×#13063281	C₂²	1	8	yes	complemented
125	C₂×#13063281	C₂²	1	8	yes	complemented
126	C₂×#13063281	C₂²	1	2	yes	complemented
127	C₂×#13063281	C₂²	1	4	yes	complemented
128	#117×D₄₃	C₂²	1	4	yes	complemented
129	C₂²×Dic₄₃⋊C₄	C₂²	1	2	yes	complemented
130	C₂²×C₂²⋊Dic₄₃	C₂²	1	1	yes	characteristic
131	C₂²×C₄×Dic₄₃	C₂²	1	2	yes	complemented
132	C₄₃×#551	C₂²	1	8	yes	complemented
133	C₄₃×#546	C₂²	1	8	yes	complemented
134	C₄₃×#543	C₂²	1	1	yes	characteristic
135	C₄₃×#538	C₂²	1	4	yes	complemented
136	C₄₃×#534	C₂²	1	1	yes	characteristic
137	C₄₃×#525	C₂²	1	4	yes	complemented
138	C₂×#120×C₄₃	C₂²	1	2	yes	—
139	C₄₃×#518	C₂²	1	2	yes	—
140	C₂²×C₂²⋊C₄×C₄₃	C₂²	1	1	yes	characteristic
141	C₂×#10621898	C₂³	1	4	yes	—
142	C₂×#10621900	—	2	16	no	—
143	C₂×#10621900	C₂³	1	4	yes	—
144	C₂×#10621900	C₂³	1	4	yes	—
145	C₂×#10621900	C₂³	1	4	yes	—
146	C₂×#10621900	C₂³	1	4	yes	—
147	C₂×#10621900	C₂³	1	8	yes	—
148	C₂²×Dic₈₆	C₂³	1	2	yes	—
149	C₂²×C₂²⋊D₄₃	C₂³	1	2	yes	—
150	C₂²×C₂²⋊D₄₃	C₂³	1	2	yes	—
151	C₂²×C₂²⋊D₄₃	C₂³	1	4	yes	—
152	C₂³×Dic₄₃	—	2	8	no	—
153	C₂³×Dic₄₃	C₂³	1	1	yes	characteristic
154	C₂³×Dic₄₃	C₂³	1	1	yes	characteristic
155	C₂³×Dic₄₃	C₂³	1	1	yes	characteristic
156	C₂³×Dic₄₃	C₂³	1	4	yes	—
157	C₂³×Dic₄₃	C₂³	1	2	yes	—
158	C₂³×Dic₄₃	C₂³	1	4	yes	—
159	C₂³×Dic₄₃	C₂³	1	1	yes	characteristic
160	C₂³×Dic₄₃	C₂³	1	1	yes	characteristic
161	C₂³×Dic₄₃	C₂³	1	2	yes	—
162	C₂³×Dic₄₃	C₂³	1	1	yes	characteristic
163	C₂²×C₄×D₄₃	C₂³	1	2	yes	—
164	#13063324	C₂³	1	8	yes	complemented
165	#13063324	C₂³	1	4	yes	complemented
166	#13063324	C₂³	1	4	yes	complemented
167	#13063323	C₂³	1	8	yes	complemented
168	#13063323	C₂³	1	4	yes	complemented
169	#13063321	C₂³	1	4	yes	complemented
170	#13063320	C₂³	1	8	yes	complemented
171	#13063320	C₂³	1	8	yes	complemented
172	#13063320	C₂³	1	8	yes	complemented
173	#13063319	C₂³	1	8	yes	complemented
174	#13063318	C₂³	1	8	yes	—
175	#13063318	C₂³	1	8	yes	—
176	#13063318	C₂³	1	8	yes	—
177	#13063318	C₂³	1	8	yes	complemented
178	#13063318	C₂³	1	8	yes	complemented
179	#13063318	C₂³	1	8	yes	complemented
180	#13063318	C₂³	1	8	yes	complemented
181	#13063317	C₂³	1	8	yes	complemented
182	#13063316	C₂³	1	4	yes	complemented
183	#13063316	C₂³	1	4	yes	complemented
184	#13063316	C₂³	1	8	yes	complemented
185	#13063315	C₂³	1	8	yes	complemented
186	#13063315	C₂³	1	8	yes	complemented
187	#13063315	C₂³	1	8	yes	complemented
188	#13063315	C₂³	1	8	yes	complemented
189	#13063315	C₂³	1	8	yes	complemented
190	#13063315	C₂³	1	8	yes	complemented
191	#13063314	C₂³	1	4	yes	complemented
192	#13063312	C₂³	1	8	yes	—
193	#13063312	C₂³	1	4	yes	complemented
194	#13063311	C₂³	1	8	yes	—
195	#13063311	C₂³	1	8	yes	—
196	#13063311	C₂³	1	8	yes	complemented
197	#13063311	C₂³	1	8	yes	complemented
198	#13063310	C₂³	1	8	yes	complemented
199	#13063309	C₂³	1	4	yes	—
200	#13063309	C₂³	1	8	yes	—
201	#13063309	C₂³	1	8	yes	—
202	#13063309	C₂³	1	4	yes	—
203	#13063309	C₂³	1	4	yes	—
204	#13063308	C₂³	1	4	yes	—
205	#13063308	C₂³	1	8	yes	—
206	#13063308	C₂³	1	8	yes	complemented
207	#13063307	C₂³	1	8	yes	—
208	#13063307	C₂³	1	8	yes	—
209	#13063307	C₂³	1	8	yes	complemented
210	#13063306	C₂³	1	8	yes	—
211	#13063306	C₂³	1	4	yes	—
212	#13063306	C₂³	1	8	yes	—
213	#13063306	C₂³	1	8	yes	—
214	#13063306	C₂³	1	4	yes	—
215	#13063306	C₂³	1	4	yes	—
216	#13063306	C₂³	1	8	yes	complemented
217	#13063304	C₂³	1	4	yes	—
218	#13063304	C₂³	1	8	yes	—
219	#13063304	C₂³	1	4	yes	—
220	#13063304	C₂³	1	8	yes	complemented
221	#13063303	C₂³	1	8	yes	complemented
222	#13063303	C₂³	1	8	yes	complemented
223	#13063302	C₂³	1	8	yes	—
224	#13063302	C₂³	1	8	yes	—
225	#13063302	C₂³	1	8	yes	—
226	#13063302	C₂³	1	8	yes	—
227	#13063302	C₂³	1	8	yes	—
228	#13063302	C₂³	1	8	yes	—
229	#13063302	C₂³	1	8	yes	—
230	#13063302	C₂³	1	8	yes	—
231	#13063302	C₂³	1	8	yes	complemented
232	#13063302	C₂³	1	8	yes	complemented
233	#13063301	C₂³	1	8	yes	complemented
234	#13063299	C₂³	1	4	yes	—
235	#13063299	C₂³	1	4	yes	—
236	#13063298	C₂³	1	8	yes	—
237	#13063298	C₂³	1	8	yes	complemented
238	#13063297	C₂³	1	8	yes	—
239	#13063297	C₂³	1	8	yes	—
240	#13063297	C₂³	1	8	yes	—
241	#13063297	C₂³	1	8	yes	—
242	#13063297	C₂³	1	8	yes	—
243	#13063297	C₂³	1	8	yes	—
244	#13063297	C₂³	1	8	yes	—
245	#13063297	C₂³	1	8	yes	complemented
246	#13063296	C₂³	1	8	yes	—
247	#13063295	C₂³	1	4	yes	—
248	#13063294	C₂³	1	8	yes	—
249	#13063294	C₂³	1	4	yes	—
250	#13063294	C₂³	1	4	yes	—
251	#13063294	C₂³	1	4	yes	—
252	#13063293	C₂³	1	4	yes	—
253	Q₈×Dic₄₃	C₂³	1	4	yes	complemented
254	Q₈×Dic₄₃	C₂³	1	4	yes	complemented
255	C₄×Dic₈₆	C₂³	1	8	yes	complemented
256	C₄×Dic₈₆	C₂³	1	8	yes	complemented
257	C₄×Dic₈₆	C₂³	1	8	yes	complemented
258	#13063290	C₂³	1	8	yes	complemented
259	#13063290	C₂³	1	4	yes	complemented
260	#13063290	C₂³	1	8	yes	complemented
261	#13063290	C₂³	1	8	yes	complemented
262	#13063290	C₂³	1	4	yes	complemented
263	D₄×Dic₄₃	C₂³	1	8	yes	—
264	D₄×Dic₄₃	C₂³	1	8	yes	—
265	D₄×Dic₄₃	C₂³	1	8	yes	—
266	D₄×Dic₄₃	C₂³	1	8	yes	—
267	D₄×Dic₄₃	C₂³	1	8	yes	—
268	D₄×Dic₄₃	C₂³	1	8	yes	—
269	D₄×Dic₄₃	C₂³	1	8	yes	—
270	D₄×Dic₄₃	C₂³	1	4	yes	complemented
271	D₄×Dic₄₃	C₂³	1	4	yes	complemented
272	#13063287	C₂³	1	4	yes	complemented
273	#13063287	C₂³	1	4	yes	complemented
274	C₄×C₂²⋊D₄₃	C₂³	1	8	yes	—
275	C₄×C₂²⋊D₄₃	C₂³	1	8	yes	—
276	C₄×C₂²⋊D₄₃	C₂³	1	8	yes	—
277	C₄×C₂²⋊D₄₃	C₂³	1	8	yes	complemented
278	C₄×C₂²⋊D₄₃	C₂³	1	8	yes	complemented
279	C₄×C₂²⋊D₄₃	C₂³	1	8	yes	complemented
280	(C₂²⋊D₄₃)⋊C₄	C₂³	1	8	yes	—
281	(C₂²⋊D₄₃)⋊C₄	C₂³	1	8	yes	—
282	(C₂²⋊D₄₃)⋊C₄	C₂³	1	8	yes	—
283	(C₂²⋊D₄₃)⋊C₄	C₂³	1	8	yes	—
284	(C₂²⋊D₄₃)⋊C₄	C₂³	1	8	yes	—
285	(C₂²⋊D₄₃)⋊C₄	C₂³	1	8	yes	—
286	(C₂²⋊D₄₃)⋊C₄	C₂³	1	8	yes	—
287	(C₂²⋊D₄₃)⋊C₄	C₂³	1	8	yes	complemented
288	(C₂²⋊D₄₃)⋊C₄	C₂³	1	8	yes	complemented
289	(C₂²⋊D₄₃)⋊C₄	C₂³	1	8	yes	complemented
290	#13063284	C₂³	1	4	yes	—
291	#13063284	C₂³	1	4	yes	—
292	#13063284	C₂³	1	8	yes	complemented
293	#13063283	C₂³	1	8	yes	complemented
294	#13063283	C₂³	1	8	yes	complemented
295	#13063282	C₂³	1	8	yes	complemented
296	#13063282	C₂³	1	8	yes	complemented
297	#13063281	C₂³	1	4	yes	—
298	#13063281	C₂³	1	8	yes	—
299	#13063281	C₂³	1	8	yes	—
300	#13063281	C₂³	1	8	yes	—
301	#13063281	C₂³	1	4	yes	—
302	#13063281	C₂³	1	8	yes	—
303	#13063281	C₂³	1	8	yes	—
304	#13063281	C₂³	1	4	yes	—
305	#13063281	C₂³	1	4	yes	—
306	#13063281	C₂³	1	4	yes	—
307	#13063281	C₂³	1	4	yes	—
308	#13063281	C₂³	1	4	yes	—
309	#13063281	C₂³	1	4	yes	—
310	#13063281	C₂³	1	4	yes	—
311	#13063281	C₂³	1	4	yes	—
312	#13063281	C₂³	1	8	yes	—
313	#13063281	C₂³	1	8	yes	—
314	#13063281	C₂³	1	8	yes	complemented
315	#13063281	C₂³	1	8	yes	complemented
316	#13063281	C₂³	1	8	yes	complemented
317	C₂×C₄⋊Dic₄₃	C₂³	1	4	yes	—
318	C₂×Dic₄₃⋊C₄	C₂³	1	4	yes	—
319	C₂×Dic₄₃⋊C₄	C₂³	1	8	yes	—
320	C₂×Dic₄₃⋊C₄	C₂³	1	8	yes	—
321	C₂×Dic₄₃⋊C₄	C₂³	1	2	yes	—
322	C₂×Dic₄₃⋊C₄	C₂³	1	2	yes	—
323	C₂×Dic₄₃⋊C₄	C₂³	1	2	yes	—
324	C₂×Dic₄₃⋊C₄	C₂³	1	2	yes	—
325	C₂×Dic₄₃⋊C₄	C₂³	1	4	yes	—
326	C₂×Dic₄₃⋊C₄	C₂³	1	8	yes	complemented
327	C₄⋊C₄×D₄₃	C₂³	1	8	yes	complemented
328	C₂×C₂²⋊Dic₄₃	C₂³	1	4	yes	—
329	C₂×C₂²⋊Dic₄₃	C₂³	1	4	yes	—
330	C₂×C₂²⋊Dic₄₃	C₂³	1	8	yes	—
331	C₂×C₂²⋊Dic₄₃	C₂³	1	4	yes	—
332	C₂×C₂²⋊Dic₄₃	C₂³	1	1	yes	characteristic
333	C₂×C₂²⋊Dic₄₃	C₂³	1	1	yes	characteristic
334	C₂×C₂²⋊Dic₄₃	C₂³	1	2	yes	—
335	C₂×C₂²⋊Dic₄₃	C₂³	1	2	yes	—
336	C₂×(C₂×D₄₃)⋊C₄	C₂³	1	4	yes	—
337	C₂²⋊C₄×D₄₃	C₂³	1	4	yes	—
338	C₂²⋊C₄×D₄₃	C₂³	1	4	yes	—
339	C₂×C₄×Dic₄₃	C₂³	1	2	yes	—
340	C₂×C₄×Dic₄₃	C₂³	1	2	yes	—
341	C₂×C₄×Dic₄₃	C₂³	1	2	yes	—
342	C₂×C₄×Dic₄₃	C₂³	1	2	yes	—
343	C₂×C₄×Dic₄₃	C₂³	1	4	yes	—
344	C₂×C₄×Dic₄₃	C₂³	1	4	yes	—
345	C₂×C₄×Dic₄₃	C₂³	1	4	yes	—
346	C₂×C₄×Dic₄₃	C₂³	1	4	yes	—
347	C₂×C₄×Dic₄₃	C₂³	1	4	yes	—
348	C₂×C₄×Dic₄₃	C₂³	1	8	yes	complemented
349	C₄²×D₄₃	C₂³	1	8	yes	complemented
350	C₂⁵×C₄₃	C₂³	1	1	yes	characteristic
351	C₂×#41×C₄₃	C₂³	1	4	yes	—
352	C₂²×D₄×C₄₃	C₂³	1	2	yes	—
353	C₂²×D₄×C₄₃	C₂³	1	4	yes	—
354	C₂³×C₄×C₄₃	C₂³	1	2	yes	—
355	#126×C₄₃	C₂³	1	8	yes	—
356	#124×C₄₃	C₂³	1	8	yes	—
357	#123×C₄₃	C₂³	1	8	yes	—
358	#123×C₄₃	C₂³	1	4	yes	—
359	#123×C₄₃	C₂³	1	8	yes	—
360	C₂²⋊Q₈×C₄₃	C₂³	1	8	yes	—
361	C₂²⋊Q₈×C₄₃	C₂³	1	4	yes	—
362	C₂²⋊Q₈×C₄₃	C₂³	1	4	yes	—
363	#121×C₄₃	C₂³	1	4	yes	—
364	#121×C₄₃	C₂³	1	4	yes	—
365	#121×C₄₃	C₂³	1	8	yes	—
366	#120×C₄₃	C₂³	1	4	yes	—
367	#120×C₄₃	C₂³	1	8	yes	—
368	#120×C₄₃	C₂³	1	4	yes	—
369	#120×C₄₃	C₂³	1	4	yes	—
370	C₄×D₄×C₄₃	C₂³	1	8	yes	—
371	C₄×D₄×C₄₃	C₂³	1	8	yes	—
372	C₄×D₄×C₄₃	C₂³	1	8	yes	—
373	#117×C₄₃	C₂³	1	4	yes	—
374	#117×C₄₃	C₂³	1	4	yes	—
375	C₂×C₂²⋊C₄×C₄₃	C₂³	1	1	yes	characteristic
376	C₂×C₂²⋊C₄×C₄₃	C₂³	1	8	yes	—
377	C₂×C₂²⋊C₄×C₄₃	C₂³	1	1	yes	characteristic
378	C₂×C₂²⋊C₄×C₄₃	C₂³	1	2	yes	—
379	C₂×C₂²⋊C₄×C₄₃	C₂³	1	4	yes	—
380	C₂×C₂²⋊C₄×C₄₃	C₂³	1	2	yes	—
381	C₂×C₂²⋊C₄×C₄₃	C₂³	1	4	yes	—
382	C₂⁴×C₄₃	—	2	4	no	—
383	C₂⁴×C₄₃	—	4	4	no	—
384	C₂⁴×C₄₃	C₂⁴	1	1	yes	characteristic
385	C₂⁴×C₄₃	C₂⁴	1	4	yes	—
386	C₂⁴×C₄₃	C₂⁴	1	1	yes	characteristic
387	C₂⁴×C₄₃	C₂⁴	1	2	yes	—
388	C₂⁴×C₄₃	C₂⁴	1	1	yes	characteristic
389	C₂³×D₄₃	C₂⁴	1	2	yes	—
390	#41×C₄₃	—	4	8	no	—
391	C₂×Q₈×C₄₃	C₂⁴	1	4	yes	—
392	C₂×D₄×C₄₃	—	2	8	no	—
393	C₂×D₄×C₄₃	—	4	8	no	—
394	C₂×D₄×C₄₃	C₂⁴	1	4	yes	—
395	C₂×D₄×C₄₃	C₂⁴	1	4	yes	—
396	C₂×D₄×C₄₃	C₂⁴	1	8	yes	—
397	C₂×D₄×C₄₃	C₂⁴	1	4	yes	—
398	C₂×D₄×C₄₃	C₂⁴	1	8	yes	—
399	C₂²×C₄×C₄₃	—	4	4	no	—
400	C₂²×C₄×C₄₃	C₂⁴	1	2	yes	—
401	C₂²×C₄×C₄₃	C₂⁴	1	4	yes	—
402	C₂²×C₄×C₄₃	C₂⁴	1	2	yes	—
403	C₂²×C₄×C₄₃	C₂⁴	1	4	yes	—
404	C₂²×C₄×C₄₃	C₂⁴	1	4	yes	—
405	C₂²×C₄×C₄₃	C₂⁴	1	2	yes	—
406	C₂²×C₄×C₄₃	C₂⁴	1	8	yes	—
407	C₂×C₂²⋊D₄₃	—	2	8	no	—
408	C₂×C₂²⋊D₄₃	—	2	8	no	—
409	C₂×C₂²⋊D₄₃	—	4	8	no	—
410	C₂×C₂²⋊D₄₃	C₂⁴	1	8	yes	—
411	C₂×C₂²⋊D₄₃	C₂⁴	1	4	yes	—
412	C₂×C₂²⋊D₄₃	C₂⁴	1	4	yes	—
413	C₂×C₂²⋊D₄₃	C₂⁴	1	4	yes	—
414	C₂×C₂²⋊D₄₃	C₂⁴	1	4	yes	—
415	C₂×C₂²⋊D₄₃	C₂⁴	1	8	yes	—
416	C₂×C₂²⋊D₄₃	C₂⁴	1	8	yes	—
417	C₂²×Dic₄₃	—	2	4	no	—
418	C₂²×Dic₄₃	—	2	4	no	—
419	C₂²×Dic₄₃	—	2	16	no	—
420	C₂²×Dic₄₃	—	2	16	no	—
421	C₂²×Dic₄₃	—	2	4	no	—
422	C₂²×Dic₄₃	—	2	4	no	—
423	C₂²×Dic₄₃	—	2	8	no	—
424	C₂²×Dic₄₃	—	2	4	no	—
425	C₂²×Dic₄₃	—	4	4	no	—
426	C₂²×Dic₄₃	#41	1	8	yes	complemented
427	C₂²×Dic₄₃	C₂⁴	1	2	yes	—
428	C₂²×Dic₄₃	C₂⁴	1	2	yes	—
429	C₂²×Dic₄₃	C₂⁴	1	1	yes	characteristic
430	C₂²×Dic₄₃	C₂⁴	1	4	yes	—
431	C₂²×Dic₄₃	C₂⁴	1	4	yes	—
432	C₂²×Dic₄₃	C₂⁴	1	4	yes	—
433	C₂²×Dic₄₃	C₂⁴	1	2	yes	—
434	C₂²×Dic₄₃	C₂⁴	1	4	yes	—
435	C₂²×Dic₄₃	C₂⁴	1	1	yes	characteristic
436	C₂²×Dic₄₃	C₂⁴	1	4	yes	—
437	C₂²×Dic₄₃	C₂⁴	1	2	yes	—
438	C₂²×Dic₄₃	C₂⁴	1	4	yes	—
439	C₂²×Dic₄₃	C₂⁴	1	2	yes	—
440	C₂²×Dic₄₃	C₂⁴	1	2	yes	—
441	C₂²×Dic₄₃	C₂⁴	1	4	yes	—
442	C₂²×Dic₄₃	C₂⁴	1	2	yes	—
443	C₂²×Dic₄₃	C₂⁴	1	4	yes	—
444	C₂²×Dic₄₃	C₂⁴	1	8	yes	—
445	C₂²×Dic₄₃	C₂⁴	1	1	yes	characteristic
446	C₂²×Dic₄₃	C₂⁴	1	2	yes	—
447	C₂²×Dic₄₃	C₂⁴	1	1	yes	characteristic
448	C₂²×Dic₄₃	C₂⁴	1	2	yes	—
449	#10621900	—	2	16	no	—
450	#10621900	—	2	16	no	—
451	#10621900	—	2	16	no	—
452	#10621900	—	2	16	no	—
453	#10621900	—	4	16	no	—
454	#10621898	—	4	8	no	—
455	C₂×D₁₇₂	C₂⁴	1	4	yes	—
456	C₂×C₄×D₄₃	—	2	8	no	—
457	C₂×C₄×D₄₃	C₂⁴	1	4	yes	—
458	C₂×C₄×D₄₃	C₂⁴	1	4	yes	—
459	C₂×C₄×D₄₃	C₂⁴	1	8	yes	—
460	C₂×C₄×D₄₃	C₂⁴	1	8	yes	—
461	C₂×Dic₈₆	—	2	8	no	—
462	C₂×Dic₈₆	C₂⁴	1	4	yes	—
463	C₂×Dic₈₆	C₂⁴	1	4	yes	—
464	C₂×Dic₈₆	C₂⁴	1	4	yes	—
465	C₂×Dic₈₆	C₂⁴	1	8	yes	—
466	C₄⋊C₄×C₄₃	C₂⁴	1	8	yes	—
467	C₄⋊C₄×C₄₃	C₂⁴	1	4	yes	—
468	C₄⋊C₄×C₄₃	C₂⁴	1	4	yes	—
469	C₄⋊C₄×C₄₃	C₂⁴	1	8	yes	—
470	C₂²⋊C₄×C₄₃	C₂⁴	1	4	yes	—
471	C₂²⋊C₄×C₄₃	C₂⁴	1	4	yes	—
472	C₂²⋊C₄×C₄₃	C₂⁴	1	8	yes	—
473	C₂²⋊C₄×C₄₃	C₂⁴	1	4	yes	—
474	C₂²⋊C₄×C₄₃	C₂⁴	1	8	yes	—
475	C₂²⋊C₄×C₄₃	C₂⁴	1	4	yes	—
476	C₂²⋊C₄×C₄₃	C₂⁴	1	8	yes	—
477	C₂²⋊C₄×C₄₃	C₂⁴	1	8	yes	—
478	C₂²⋊C₄×C₄₃	C₂⁴	1	8	yes	—
479	C₄²×C₄₃	C₂⁴	1	8	yes	—
480	C₂²⋊Dic₄₃	C₂⁴	1	4	yes	—
481	C₂²⋊Dic₄₃	C₂⁴	1	4	yes	—
482	C₂²⋊Dic₄₃	C₂⁴	1	4	yes	—
483	C₂²⋊Dic₄₃	C₂⁴	1	8	yes	—
484	C₂²⋊Dic₄₃	C₂⁴	1	4	yes	—
485	C₂²⋊Dic₄₃	C₂⁴	1	8	yes	—
486	C₂²⋊Dic₄₃	C₂⁴	1	8	yes	—
487	C₂²⋊Dic₄₃	C₂⁴	1	8	yes	—
488	C₂²⋊Dic₄₃	C₂⁴	1	8	yes	—
489	C₂²⋊Dic₄₃	C₂⁴	1	8	yes	—
490	C₂²⋊Dic₄₃	C₂⁴	1	8	yes	—
491	(C₂×D₄₃)⋊C₄	C₂⁴	1	8	yes	—
492	(C₂×D₄₃)⋊C₄	C₂⁴	1	8	yes	—
493	(C₂×D₄₃)⋊C₄	C₂⁴	1	8	yes	—
494	(C₂×D₄₃)⋊C₄	C₂⁴	1	8	yes	—
495	(C₂×D₄₃)⋊C₄	C₂⁴	1	8	yes	—
496	(C₂×D₄₃)⋊C₄	C₂⁴	1	8	yes	—
497	C₄⋊Dic₄₃	C₂⁴	1	8	yes	—
498	C₄⋊Dic₄₃	C₂⁴	1	8	yes	—
499	C₄⋊Dic₄₃	C₂⁴	1	8	yes	—
500	C₄⋊Dic₄₃	C₂⁴	1	4	yes	—
501	C₄⋊Dic₄₃	C₂⁴	1	4	yes	—
502	C₄⋊Dic₄₃	C₂⁴	1	8	yes	—
503	Dic₄₃⋊C₄	C₂⁴	1	8	yes	—
504	Dic₄₃⋊C₄	C₂⁴	1	8	yes	—
505	Dic₄₃⋊C₄	C₂⁴	1	8	yes	—
506	Dic₄₃⋊C₄	C₂⁴	1	8	yes	—
507	Dic₄₃⋊C₄	C₂⁴	1	8	yes	—
508	Dic₄₃⋊C₄	C₂⁴	1	8	yes	—
509	Dic₄₃⋊C₄	C₂⁴	1	8	yes	—
510	Dic₄₃⋊C₄	C₂⁴	1	8	yes	—
511	Dic₄₃⋊C₄	C₂⁴	1	8	yes	—
512	Dic₄₃⋊C₄	C₂⁴	1	8	yes	—
513	Dic₄₃⋊C₄	C₂⁴	1	8	yes	—
514	Dic₄₃⋊C₄	C₂⁴	1	8	yes	—
515	Dic₄₃⋊C₄	C₂⁴	1	8	yes	—
516	Dic₄₃⋊C₄	C₂⁴	1	8	yes	—
517	C₄×Dic₄₃	C₂⁴	1	4	yes	—
518	C₄×Dic₄₃	C₂⁴	1	8	yes	—
519	C₄×Dic₄₃	C₂⁴	1	8	yes	—
520	C₄×Dic₄₃	C₂⁴	1	4	yes	—
521	C₄×Dic₄₃	C₂⁴	1	4	yes	—
522	C₄×Dic₄₃	C₂⁴	1	4	yes	—
523	C₄×Dic₄₃	C₂⁴	1	4	yes	—
524	C₄×Dic₄₃	C₂⁴	1	4	yes	—
525	C₄×Dic₄₃	C₂⁴	1	4	yes	—
526	C₄×Dic₄₃	C₂⁴	1	4	yes	—
527	C₄×Dic₄₃	C₂⁴	1	8	yes	—
528	C₄×Dic₄₃	C₂⁴	1	8	yes	—
529	C₄×Dic₄₃	C₂⁴	1	8	yes	—
530	C₂³×C₄₃	—	2	2	no	—
531	C₂³×C₄₃	—	2	4	no	—
532	C₂³×C₄₃	—	2	8	no	—
533	C₂³×C₄₃	—	2	2	no	—
534	C₂³×C₄₃	—	2	8	no	—
535	C₂³×C₄₃	—	2	4	no	—
536	C₂³×C₄₃	—	4	2	no	—
537	C₂³×C₄₃	—	4	4	no	—
538	C₂³×C₄₃	—	4	2	no	—
539	C₂³×C₄₃	—	4	4	no	—
540	C₂³×C₄₃	—	4	16	no	—
541	C₂³×C₄₃	C₂×#41	1	4	yes	—
542	C₂³×C₄₃	C₂⁵	1	2	yes	—
543	C₂³×C₄₃	C₂⁵	1	4	yes	—
544	C₂³×C₄₃	C₂⁵	1	2	yes	—
545	C₂³×C₄₃	C₂⁵	1	1	yes	characteristic
546	C₂³×C₄₃	C₂⁵	1	2	yes	—
547	C₂²×D₄₃	—	2	4	no	—
548	C₂²×D₄₃	—	4	4	no	—
549	C₂²×D₄₃	C₂⁵	1	4	yes	—
550	Q₈×C₄₃	—	4	4	no	—
551	D₄×C₄₃	—	2	8	no	—
552	D₄×C₄₃	—	2	8	no	—
553	D₄×C₄₃	—	2	16	no	—
554	D₄×C₄₃	—	4	8	no	—
555	D₄×C₄₃	—	4	4	no	—
556	C₂×C₄×C₄₃	—	2	4	no	—
557	C₂×C₄×C₄₃	—	2	8	no	—
558	C₂×C₄×C₄₃	—	4	2	no	—
559	C₂×C₄×C₄₃	—	4	4	no	—
560	C₂×C₄×C₄₃	—	4	2	no	—
561	C₂×C₄×C₄₃	—	4	4	no	—
562	C₂×C₄×C₄₃	—	4	8	no	—
563	C₂×C₄×C₄₃	C₂⁵	1	4	yes	—
564	C₂×C₄×C₄₃	C₂⁵	1	4	yes	—
565	C₂×C₄×C₄₃	C₂⁵	1	8	yes	—
566	C₂×C₄×C₄₃	C₂⁵	1	4	yes	—
567	C₂²⋊D₄₃	—	2	8	no	—
568	C₂²⋊D₄₃	—	2	8	no	—
569	C₂²⋊D₄₃	—	2	16	no	—
570	C₂²⋊D₄₃	—	2	8	no	—
571	C₂²⋊D₄₃	—	2	8	no	—
572	C₂²⋊D₄₃	—	4	8	no	—
573	C₂²⋊D₄₃	—	4	8	no	—
574	C₂×Dic₄₃	—	2	4	no	—
575	C₂×Dic₄₃	—	2	8	no	—
576	C₂×Dic₄₃	—	2	2	no	—
577	C₂×Dic₄₃	—	2	2	no	—
578	C₂×Dic₄₃	—	2	8	no	—
579	C₂×Dic₄₃	—	2	8	no	—
580	C₂×Dic₄₃	—	2	8	no	—
581	C₂×Dic₄₃	—	2	4	no	—
582	C₂×Dic₄₃	—	2	4	no	—
583	C₂×Dic₄₃	—	2	8	no	—
584	C₂×Dic₄₃	—	2	8	no	—
585	C₂×Dic₄₃	—	2	4	no	—
586	C₂×Dic₄₃	—	2	4	no	—
587	C₂×Dic₄₃	—	4	8	no	—
588	C₂×Dic₄₃	—	4	2	no	—
589	C₂×Dic₄₃	—	4	4	no	—
590	C₂×Dic₄₃	—	4	2	no	—
591	C₂×Dic₄₃	—	4	4	no	—
592	C₂×Dic₄₃	C₂×#41	1	8	yes	—
593	C₂×Dic₄₃	C₂×#41	1	8	yes	—
594	C₂×Dic₄₃	C₂×#41	1	4	yes	—
595	C₂×Dic₄₃	C₂×#41	1	4	yes	—
596	C₂×Dic₄₃	C₂⁵	1	4	yes	—
597	C₂×Dic₄₃	C₂⁵	1	2	yes	—
598	C₂×Dic₄₃	C₂⁵	1	4	yes	—
599	C₂×Dic₄₃	C₂⁵	1	8	yes	—
600	C₂×Dic₄₃	C₂⁵	1	4	yes	—
601	C₂×Dic₄₃	C₂⁵	1	2	yes	—
602	C₂×Dic₄₃	C₂⁵	1	1	yes	characteristic
603	C₂×Dic₄₃	C₂⁵	1	1	yes	characteristic
604	C₂×Dic₄₃	C₂⁵	1	2	yes	—
605	D₁₇₂	—	4	4	no	—
606	C₄×D₄₃	—	2	8	no	—
607	C₄×D₄₃	—	2	8	no	—
608	C₄×D₄₃	—	4	8	no	—
609	C₄×D₄₃	—	4	8	no	—
610	Dic₈₆	—	2	8	no	—
611	Dic₈₆	—	2	8	no	—
612	Dic₈₆	—	4	4	no	—
613	Dic₈₆	—	4	8	no	—
614	#62814	—	43	1	no	maximal, Sylow
615	C₂²×C₄₃	—	2	8	no	—
616	C₂²×C₄₃	—	2	2	no	—
617	C₂²×C₄₃	—	2	4	no	—
618	C₂²×C₄₃	—	2	2	no	—
619	C₂²×C₄₃	—	2	2	no	—
620	C₂²×C₄₃	—	2	2	no	—
621	C₂²×C₄₃	—	2	4	no	—
622	C₂²×C₄₃	—	2	4	no	—
623	C₂²×C₄₃	—	2	8	no	—
624	C₂²×C₄₃	—	4	4	no	—
625	C₂²×C₄₃	—	4	16	no	—
626	C₂²×C₄₃	—	4	4	no	—
627	C₂²×C₄₃	—	8	4	no	—
628	C₂²×C₄₃	C₂²×#41	1	4	yes	—
629	C₂²×C₄₃	C₂²×#41	1	2	yes	—
630	C₂²×C₄₃	#585	1	4	yes	—
631	C₂²×C₄₃	C₂⁶	1	1	yes	characteristic
632	C₂×D₄₃	—	2	4	no	—
633	C₂×D₄₃	—	2	8	no	—
634	C₂×D₄₃	—	8	4	no	—
635	C₄×C₄₃	—	2	4	no	—
636	C₄×C₄₃	—	2	8	no	—
637	C₄×C₄₃	—	2	4	no	—
638	C₄×C₄₃	—	2	4	no	—
639	Dic₄₃	—	2	4	no	—
640	Dic₄₃	—	2	2	no	—
641	Dic₄₃	—	2	2	no	—
642	Dic₄₃	—	2	8	no	—
643	Dic₄₃	—	2	4	no	—
644	Dic₄₃	—	2	4	no	—
645	Dic₄₃	C₂²×#41	1	2	yes	—
646	Dic₄₃	C₂²×#41	1	4	yes	—
647	Dic₄₃	C₂²×#41	1	2	yes	—
648	#3495	—	43	8	no	—
649	#3494	—	43	8	no	—
650	#3493	—	43	4	no	—
651	#3492	—	43	4	no	—
652	#3491	—	43	1	no	—
653	#3491	—	43	1	no	—
654	#3491	—	43	2	no	—
655	#3490	—	43	2	no	—
656	#3490	—	43	1	no	—
657	#3490	D₄₃	1	1	yes	characteristic, complemented
658	#3475	—	43	8	no	—
659	#3475	—	43	8	no	—
660	#3458	—	43	1	no	—
661	#3455	—	43	4	no	—
662	#3449	—	43	1	no	—
663	#3444	—	43	4	no	—
664	C₂×#525	—	43	2	no	—
665	#3428	—	43	2	no	—
666	C₂²×#117	—	43	1	no	—
667	C₂×C₄₃	—	2	4	no	—
668	C₂×C₄₃	—	2	2	no	—
669	C₂×C₄₃	—	2	4	no	—
670	C₂×C₄₃	—	4	2	no	—
671	C₂×C₄₃	—	4	4	no	—
672	C₂×C₄₃	C₂³×#41	1	1	yes	characteristic
673	C₂×C₄₃	C₂×#585	1	2	yes	—
674	D₄₃	—	4	4	no	—
675	C₂²×#41	—	43	2	no	—
676	C₂⁴×C₄	—	43	1	no	—
677	#556	—	43	8	no	—
678	#556	—	43	8	no	—
679	#555	—	43	8	no	—
680	#555	—	43	8	no	—
681	#554	—	43	8	no	—
682	#554	—	43	8	no	—
683	#553	—	43	8	no	—
684	#553	—	43	8	no	—
685	#553	—	43	8	no	—
686	#553	—	43	8	no	—
687	#552	—	43	8	no	—
688	#552	—	43	8	no	—
689	#552	—	43	8	no	—
690	#552	—	43	8	no	—
691	#552	—	43	8	no	—
692	#552	—	43	8	no	—
693	#552	—	43	8	no	—
694	#552	—	43	8	no	—
695	#551	—	43	8	no	—
696	#551	—	43	8	no	—
697	#551	—	43	8	no	—
698	#551	—	43	8	no	—
699	#551	—	43	8	no	—
700	#551	—	43	8	no	—
701	#551	—	43	8	no	—
702	#551	C₂×D₄₃	1	8	yes	complemented
703	#547	—	43	8	no	—
704	#547	—	43	8	no	—
705	#546	—	43	8	no	—
706	#546	—	43	8	no	—
707	#546	—	43	8	no	—
708	#546	C₂×D₄₃	1	8	yes	complemented
709	#544	—	43	4	no	—
710	#544	—	43	8	no	—
711	#543	—	43	2	no	—
712	#543	—	43	1	no	—
713	#543	C₂×D₄₃	1	1	yes	characteristic
714	#542	—	43	8	no	—
715	#542	—	43	8	no	—
716	#541	—	43	8	no	—
717	#540	—	43	8	no	—
718	#539	—	43	4	no	—
719	#539	—	43	4	no	—
720	#539	—	43	8	no	—
721	#538	—	43	8	no	—
722	#538	—	43	4	no	—
723	#538	C₂×D₄₃	1	4	yes	complemented
724	#537	—	43	4	no	—
725	#536	—	43	4	no	—
726	#535	—	43	4	no	—
727	#534	—	43	2	no	—
728	#534	—	43	1	no	—
729	#534	C₂×D₄₃	1	1	yes	characteristic
730	#533	—	43	4	no	—
731	#533	—	43	4	no	—
732	#533	—	43	8	no	—
733	#533	—	43	4	no	—
734	#532	—	43	4	no	—
735	#532	—	43	4	no	—
736	#532	—	43	4	no	—
737	#529	—	43	8	no	—
738	#529	—	43	8	no	—
739	#529	—	43	8	no	—
740	#529	—	43	8	no	—
741	#529	—	43	8	no	—
742	#529	—	43	4	no	—
743	#529	—	43	4	no	—
744	#529	—	43	4	no	—
745	#529	—	43	4	no	—
746	#529	—	43	8	no	—
747	#529	—	43	8	no	—
748	#529	—	43	8	no	—
749	#525	—	43	4	no	—
750	#525	—	43	4	no	—
751	#525	—	43	8	no	—
752	#525	—	43	8	no	—
753	#525	—	43	4	no	—
754	#525	—	43	4	no	—
755	#525	—	43	4	no	—
756	#525	—	43	4	no	—
757	#525	—	43	8	no	—
758	#525	—	43	4	no	—
759	#525	C₂×D₄₃	1	4	yes	complemented
760	C₂×#123	—	43	2	no	—
761	C₂×#123	—	43	2	no	—
762	C₂×C₂²⋊Q₈	—	43	4	no	—
763	C₂×#121	—	43	4	no	—
764	C₂×#120	—	43	2	no	—
765	C₂×#120	C₂×D₄₃	1	2	yes	—
766	#520	—	43	8	no	—
767	#520	—	43	8	no	—
768	#519	—	43	4	no	—
769	#518	—	43	2	no	—
770	#518	—	43	2	no	—
771	#518	—	43	2	no	—
772	#518	—	43	4	no	—
773	#518	C₂×D₄₃	1	2	yes	—
774	C₄×#41	—	43	4	no	—
775	C₄×#41	—	43	8	no	—
776	C₄×#41	—	43	8	no	—
777	C₄×#41	—	43	8	no	—
778	C₄×#41	—	43	4	no	—
779	C₂×C₄×D₄	—	43	4	no	—
780	C₂×C₄×D₄	—	43	4	no	—
781	C₂×#117	—	43	4	no	—
782	C₂×#117	—	43	1	no	—
783	C₂×#117	—	43	1	no	—
784	C₂×#117	—	43	1	no	—
785	C₂×#117	—	43	1	no	—
786	C₂×#117	—	43	2	no	—
787	C₂×#117	—	43	2	no	—
788	C₂×#117	—	43	8	no	—
789	C₂×#117	—	43	2	no	—
790	C₂×#117	—	43	8	no	—
791	C₂×#117	—	43	4	no	—
792	C₂²×C₄⋊C₄	—	43	2	no	—
793	C₂²×C₂²⋊C₄	—	43	1	no	—
794	C₂²×C₂²⋊C₄	C₂×D₄₃	1	1	yes	characteristic
795	C₂²×C₄²	—	43	2	no	—
796	C₄₃	#62814	1	1	yes	characteristic, complemented, Sylow
797	C₂⁵	C₂²×D₄₃	1	1	yes	characteristic
798	C₂×#41	—	43	4	no	—
799	C₂×#41	—	43	4	no	—
800	C₂×#41	—	43	4	no	—
801	C₂×#41	—	43	4	no	—
802	C₂×#41	—	43	8	no	—
803	C₂×#41	—	43	4	no	—
804	C₂×#41	—	86	16	no	—
805	C₂×#41	C₂²×D₄₃	1	4	yes	—
806	C₂²×Q₈	—	43	2	no	—
807	C₂²×D₄	—	43	2	no	—
808	C₂²×D₄	—	43	2	no	—
809	C₂²×D₄	—	43	4	no	—
810	C₂²×D₄	C₂²×D₄₃	1	2	yes	—
811	C₂²×D₄	C₂²×D₄₃	1	4	yes	—
812	C₂³×C₄	—	43	1	no	—
813	C₂³×C₄	—	43	1	no	—
814	C₂³×C₄	—	43	4	no	—
815	C₂³×C₄	—	43	2	no	—
816	C₂³×C₄	—	43	4	no	—
817	C₂³×C₄	—	43	1	no	—
818	C₂³×C₄	—	43	1	no	—
819	C₂³×C₄	—	43	1	no	—
820	C₂³×C₄	—	43	1	no	—
821	C₂³×C₄	—	43	2	no	—
822	C₂³×C₄	—	43	2	no	—
823	C₂³×C₄	—	86	8	no	—
824	C₂³×C₄	C₂²×D₄₃	1	2	yes	—
825	C₄⋊Q₈	—	43	4	no	—
826	C₄⋊Q₈	—	43	8	no	—
827	C₄⋊Q₈	—	43	4	no	—
828	C₄⋊Q₈	—	43	4	no	—
829	C₄⋊Q₈	—	43	8	no	—
830	#127	—	43	4	no	—
831	#126	—	43	8	no	—
832	#126	—	43	8	no	—
833	#126	—	43	8	no	—
834	#126	—	43	8	no	—
835	#126	—	43	8	no	—
836	#126	—	43	8	no	—
837	#126	—	43	8	no	—
838	#126	—	43	8	no	—
839	#126	—	43	8	no	—
840	#126	—	43	8	no	—
841	#126	—	43	8	no	—
842	#126	C₂²×D₄₃	1	8	yes	—
843	#125	—	43	8	no	—
844	#125	—	43	8	no	—
845	#125	—	43	4	no	—
846	#125	—	43	4	no	—
847	#125	—	43	8	no	—
848	#125	—	43	8	no	—
849	#125	—	43	8	no	—
850	#125	—	43	8	no	—
851	#125	—	43	8	no	—
852	#125	—	43	8	no	—
853	#124	—	43	4	no	—
854	#124	—	43	4	no	—
855	#124	—	43	8	no	—
856	#124	—	43	8	no	—
857	#124	—	43	8	no	—
858	#124	—	43	8	no	—
859	#124	—	43	8	no	—
860	#124	C₂²×D₄₃	1	8	yes	—
861	#123	—	43	4	no	—
862	#123	—	43	4	no	—
863	#123	—	43	8	no	—
864	#123	—	43	8	no	—
865	#123	—	43	4	no	—
866	#123	—	43	8	no	—
867	#123	—	43	8	no	—
868	#123	—	43	8	no	—
869	#123	—	43	4	no	—
870	#123	—	43	8	no	—
871	#123	—	43	8	no	—
872	#123	—	43	4	no	—
873	#123	—	43	4	no	—
874	#123	—	43	8	no	—
875	#123	—	43	8	no	—
876	#123	—	43	4	no	—
877	#123	—	43	8	no	—
878	#123	—	43	8	no	—
879	#123	—	43	8	no	—
880	#123	C₂²×D₄₃	1	4	yes	—
881	#123	C₂²×D₄₃	1	8	yes	—
882	#123	C₂²×D₄₃	1	8	yes	—
883	C₂²⋊Q₈	—	43	8	no	—
884	C₂²⋊Q₈	—	43	4	no	—
885	C₂²⋊Q₈	—	43	4	no	—
886	C₂²⋊Q₈	—	43	8	no	—
887	C₂²⋊Q₈	—	43	8	no	—
888	C₂²⋊Q₈	—	43	8	no	—
889	C₂²⋊Q₈	—	43	8	no	—
890	C₂²⋊Q₈	—	43	8	no	—
891	C₂²⋊Q₈	—	43	8	no	—
892	C₂²⋊Q₈	—	43	8	no	—
893	C₂²⋊Q₈	—	43	8	no	—
894	C₂²⋊Q₈	—	43	8	no	—
895	C₂²⋊Q₈	—	43	8	no	—
896	C₂²⋊Q₈	—	43	8	no	—
897	C₂²⋊Q₈	—	43	8	no	—
898	C₂²⋊Q₈	—	43	8	no	—
899	C₂²⋊Q₈	—	43	8	no	—
900	C₂²⋊Q₈	C₂²×D₄₃	1	4	yes	—
901	C₂²⋊Q₈	C₂²×D₄₃	1	4	yes	—
902	C₂²⋊Q₈	C₂²×D₄₃	1	8	yes	—
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	—	43	8	no	—
910	#121	—	43	8	no	—
911	#121	—	43	8	no	—
912	#121	—	43	4	no	—
913	#121	—	43	4	no	—
914	#121	—	43	8	no	—
915	#121	—	43	8	no	—
916	#121	C₂²×D₄₃	1	4	yes	—
917	#121	C₂²×D₄₃	1	4	yes	—
918	#121	C₂²×D₄₃	1	8	yes	—
919	#120	—	43	4	no	—
920	#120	—	43	4	no	—
921	#120	—	43	8	no	—
922	#120	—	43	4	no	—
923	#120	—	43	4	no	—
924	#120	—	43	4	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	—
929	C₄×Q₈	—	43	4	no	—
930	C₄×Q₈	—	43	4	no	—
931	C₄×Q₈	—	43	8	no	—
932	C₄×Q₈	—	43	8	no	—
933	C₄×Q₈	—	43	8	no	—
934	C₄×Q₈	—	43	4	no	—
935	C₄×Q₈	—	43	4	no	—
936	C₄×Q₈	—	43	8	no	—
937	C₄×Q₈	—	43	8	no	—
938	C₄×Q₈	—	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	4	no	—
946	C₄×D₄	—	43	8	no	—
947	C₄×D₄	—	43	4	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	—	43	8	no	—
953	C₄×D₄	—	43	8	no	—
954	C₄×D₄	—	43	4	no	—
955	C₄×D₄	—	43	4	no	—
956	C₄×D₄	—	43	8	no	—
957	C₄×D₄	—	43	8	no	—
958	C₄×D₄	—	43	8	no	—
959	C₄×D₄	—	43	8	no	—
960	C₄×D₄	—	43	8	no	—
961	C₄×D₄	—	43	8	no	—
962	C₄×D₄	—	43	8	no	—
963	C₄×D₄	—	43	8	no	—
964	C₄×D₄	—	43	8	no	—
965	C₄×D₄	—	43	8	no	—
966	C₄×D₄	C₂²×D₄₃	1	8	yes	—
967	C₄×D₄	C₂²×D₄₃	1	8	yes	—
968	C₄×D₄	C₂²×D₄₃	1	8	yes	—
969	#117	—	43	4	no	—
970	#117	—	43	4	no	—
971	#117	—	43	8	no	—
972	#117	—	43	8	no	—
973	#117	—	43	8	no	—
974	#117	—	43	4	no	—
975	#117	—	43	4	no	—
976	#117	—	43	4	no	—
977	#117	—	43	4	no	—
978	#117	—	43	8	no	—
979	#117	—	43	4	no	—
980	#117	—	43	8	no	—
981	#117	—	43	8	no	—
982	#117	—	43	8	no	—
983	#117	—	43	8	no	—
984	#117	—	43	8	no	—
985	#117	—	43	4	no	—
986	#117	—	43	8	no	—
987	#117	—	43	4	no	—
988	#117	—	43	4	no	—
989	#117	—	43	4	no	—
990	#117	—	43	4	no	—
991	#117	—	43	8	no	—
992	#117	—	43	8	no	—
993	#117	—	43	8	no	—
994	#117	—	43	8	no	—
995	#117	—	43	8	no	—
996	#117	C₂²×D₄₃	1	4	yes	—
997	#117	C₂²×D₄₃	1	4	yes	—
998	C₂×C₄⋊C₄	—	43	2	no	—
999	C₂×C₄⋊C₄	—	43	2	no	—
1000	C₂×C₄⋊C₄	—	43	2	no	—
1001	C₂×C₄⋊C₄	—	43	2	no	—
1002	C₂×C₄⋊C₄	—	43	8	no	—
1003	C₂×C₄⋊C₄	—	43	8	no	—
1004	C₂×C₄⋊C₄	—	43	4	no	—
1005	C₂×C₄⋊C₄	—	43	8	no	—
1006	C₂×C₄⋊C₄	—	43	4	no	—
1007	C₂×C₄⋊C₄	—	43	4	no	—
1008	C₂×C₄⋊C₄	—	43	8	no	—
1009	C₂×C₂²⋊C₄	—	43	1	no	—
1010	C₂×C₂²⋊C₄	—	43	1	no	—
1011	C₂×C₂²⋊C₄	—	43	2	no	—
1012	C₂×C₂²⋊C₄	—	43	8	no	—
1013	C₂×C₂²⋊C₄	—	43	2	no	—
1014	C₂×C₂²⋊C₄	—	43	4	no	—
1015	C₂×C₂²⋊C₄	—	43	4	no	—
1016	C₂×C₂²⋊C₄	—	43	4	no	—
1017	C₂×C₂²⋊C₄	—	43	4	no	—
1018	C₂×C₂²⋊C₄	—	43	4	no	—
1019	C₂×C₂²⋊C₄	—	43	4	no	—
1020	C₂×C₂²⋊C₄	C₂²×D₄₃	1	1	yes	characteristic
1021	C₂×C₂²⋊C₄	C₂²×D₄₃	1	1	yes	characteristic
1022	C₂×C₂²⋊C₄	C₂²×D₄₃	1	2	yes	—
1023	C₂×C₂²⋊C₄	C₂²×D₄₃	1	8	yes	—
1024	C₂×C₂²⋊C₄	C₂²×D₄₃	1	2	yes	—
1025	C₂×C₂²⋊C₄	C₂²×D₄₃	1	4	yes	—
1026	C₂×C₂²⋊C₄	C₂²×D₄₃	1	4	yes	—
1027	C₂×C₄²	—	43	2	no	—
1028	C₂×C₄²	—	43	4	no	—
1029	C₂×C₄²	—	43	4	no	—
1030	C₂×C₄²	—	43	2	no	—
1031	C₂×C₄²	—	43	2	no	—
1032	C₂×C₄²	—	43	4	no	—
1033	C₂×C₄²	—	43	4	no	—
1034	C₂×C₄²	—	43	2	no	—
1035	C₂×C₄²	—	43	4	no	—
1036	C₂×C₄²	—	43	8	no	—
1037	C₂×C₄²	—	43	8	no	—
1038	C₂⁴	—	2	4	no	—
1039	C₂⁴	—	4	4	no	—
1040	C₂⁴	—	43	2	no	—
1041	C₂⁴	C₂³×D₄₃	1	1	yes	characteristic
1042	C₂⁴	C₂³×D₄₃	1	4	yes	—
1043	C₂⁴	C₂³×D₄₃	1	2	yes	—
1044	C₂⁴	C₂³×D₄₃	1	1	yes	characteristic
1045	C₂⁴	C₂³×D₄₃	1	1	yes	characteristic
1046	#41	—	4	8	no	—
1047	#41	—	86	16	no	—
1048	#41	—	86	16	no	—
1049	#41	—	86	16	no	—
1050	#41	—	86	16	no	—
1051	#41	—	172	8	no	—
1052	#41	—	172	16	no	—
1053	C₂×Q₈	—	43	4	no	—
1054	C₂×Q₈	—	43	4	no	—
1055	C₂×Q₈	—	43	4	no	—
1056	C₂×Q₈	—	43	8	no	—
1057	C₂×Q₈	—	86	8	no	—
1058	C₂×Q₈	C₂³×D₄₃	1	4	yes	—
1059	C₂×D₄	—	2	8	no	—
1060	C₂×D₄	—	4	8	no	—
1061	C₂×D₄	—	43	4	no	—
1062	C₂×D₄	—	43	4	no	—
1063	C₂×D₄	—	43	8	no	—
1064	C₂×D₄	—	43	4	no	—
1065	C₂×D₄	—	43	4	no	—
1066	C₂×D₄	—	43	8	no	—
1067	C₂×D₄	—	43	8	no	—
1068	C₂×D₄	—	43	4	no	—
1069	C₂×D₄	—	86	8	no	—
1070	C₂×D₄	—	86	8	no	—
1071	C₂×D₄	—	172	8	no	—
1072	C₂×D₄	C₂³×D₄₃	1	8	yes	—
1073	C₂×D₄	C₂³×D₄₃	1	4	yes	—
1074	C₂×D₄	C₂³×D₄₃	1	4	yes	—
1075	C₂×D₄	C₂³×D₄₃	1	8	yes	—
1076	C₂×D₄	C₂³×D₄₃	1	4	yes	—
1077	C₂²×C₄	—	4	4	no	—
1078	C₂²×C₄	—	43	8	no	—
1079	C₂²×C₄	—	43	1	no	—
1080	C₂²×C₄	—	43	2	no	—
1081	C₂²×C₄	—	43	1	no	—
1082	C₂²×C₄	—	43	2	no	—
1083	C₂²×C₄	—	43	2	no	—
1084	C₂²×C₄	—	43	2	no	—
1085	C₂²×C₄	—	43	1	no	—
1086	C₂²×C₄	—	43	4	no	—
1087	C₂²×C₄	—	43	4	no	—
1088	C₂²×C₄	—	43	4	no	—
1089	C₂²×C₄	—	43	2	no	—
1090	C₂²×C₄	—	43	4	no	—
1091	C₂²×C₄	—	43	1	no	—
1092	C₂²×C₄	—	43	4	no	—
1093	C₂²×C₄	—	43	2	no	—
1094	C₂²×C₄	—	43	4	no	—
1095	C₂²×C₄	—	43	2	no	—
1096	C₂²×C₄	—	43	2	no	—
1097	C₂²×C₄	—	43	4	no	—
1098	C₂²×C₄	—	43	2	no	—
1099	C₂²×C₄	—	43	4	no	—
1100	C₂²×C₄	—	43	8	no	—
1101	C₂²×C₄	—	43	4	no	—
1102	C₂²×C₄	—	43	4	no	—
1103	C₂²×C₄	—	43	8	no	—
1104	C₂²×C₄	—	43	8	no	—
1105	C₂²×C₄	—	86	8	no	—
1106	C₂²×C₄	—	86	16	no	—
1107	C₂²×C₄	—	86	16	no	—
1108	C₂²×C₄	—	86	4	no	—
1109	C₂²×C₄	—	86	4	no	—
1110	C₂²×C₄	—	86	4	no	—
1111	C₂²×C₄	—	86	4	no	—
1112	C₂²×C₄	—	86	8	no	—
1113	C₂²×C₄	—	86	4	no	—
1114	C₂²×C₄	—	172	4	no	—
1115	C₂²×C₄	C₂³×D₄₃	1	4	yes	—
1116	C₂²×C₄	C₂³×D₄₃	1	2	yes	—
1117	C₂²×C₄	C₂³×D₄₃	1	2	yes	—
1118	C₂²×C₄	C₂³×D₄₃	1	4	yes	—
1119	C₂²×C₄	C₂³×D₄₃	1	2	yes	—
1120	C₂²×C₄	C₂³×D₄₃	1	4	yes	—
1121	C₂²×C₄	C₂³×D₄₃	1	8	yes	—
1122	C₄⋊C₄	—	43	8	no	—
1123	C₄⋊C₄	—	43	8	no	—
1124	C₄⋊C₄	—	43	8	no	—
1125	C₄⋊C₄	—	43	8	no	—
1126	C₄⋊C₄	—	43	8	no	—
1127	C₄⋊C₄	—	43	8	no	—
1128	C₄⋊C₄	—	43	8	no	—
1129	C₄⋊C₄	—	43	8	no	—
1130	C₄⋊C₄	—	43	8	no	—
1131	C₄⋊C₄	—	43	8	no	—
1132	C₄⋊C₄	—	43	8	no	—
1133	C₄⋊C₄	—	43	8	no	—
1134	C₄⋊C₄	—	43	8	no	—
1135	C₄⋊C₄	—	43	8	no	—
1136	C₄⋊C₄	—	43	8	no	—
1137	C₄⋊C₄	—	43	8	no	—
1138	C₄⋊C₄	—	43	8	no	—
1139	C₄⋊C₄	—	43	4	no	—
1140	C₄⋊C₄	—	43	4	no	—
1141	C₄⋊C₄	—	43	8	no	—
1142	C₄⋊C₄	C₂³×D₄₃	1	8	yes	—
1143	C₄⋊C₄	C₂³×D₄₃	1	8	yes	—
1144	C₄⋊C₄	C₂³×D₄₃	1	4	yes	—
1145	C₄⋊C₄	C₂³×D₄₃	1	4	yes	—
1146	C₂²⋊C₄	—	43	4	no	—
1147	C₂²⋊C₄	—	43	4	no	—
1148	C₂²⋊C₄	—	43	4	no	—
1149	C₂²⋊C₄	—	43	8	no	—
1150	C₂²⋊C₄	—	43	4	no	—
1151	C₂²⋊C₄	—	43	8	no	—
1152	C₂²⋊C₄	—	43	8	no	—
1153	C₂²⋊C₄	—	43	8	no	—
1154	C₂²⋊C₄	—	43	8	no	—
1155	C₂²⋊C₄	—	43	8	no	—
1156	C₂²⋊C₄	—	43	8	no	—
1157	C₂²⋊C₄	—	43	8	no	—
1158	C₂²⋊C₄	—	43	8	no	—
1159	C₂²⋊C₄	—	43	8	no	—
1160	C₂²⋊C₄	—	43	8	no	—
1161	C₂²⋊C₄	—	43	8	no	—
1162	C₂²⋊C₄	—	43	8	no	—
1163	C₂²⋊C₄	C₂³×D₄₃	1	4	yes	—
1164	C₂²⋊C₄	C₂³×D₄₃	1	4	yes	—
1165	C₂²⋊C₄	C₂³×D₄₃	1	4	yes	—
1166	C₂²⋊C₄	C₂³×D₄₃	1	8	yes	—
1167	C₂²⋊C₄	C₂³×D₄₃	1	4	yes	—
1168	C₂²⋊C₄	C₂³×D₄₃	1	8	yes	—
1169	C₂²⋊C₄	C₂³×D₄₃	1	8	yes	—
1170	C₂²⋊C₄	C₂³×D₄₃	1	8	yes	—
1171	C₂²⋊C₄	C₂³×D₄₃	1	8	yes	—
1172	C₄²	—	43	4	no	—
1173	C₄²	—	43	4	no	—
1174	C₄²	—	43	4	no	—
1175	C₄²	—	43	4	no	—
1176	C₄²	—	43	8	no	—
1177	C₄²	—	43	4	no	—
1178	C₄²	—	43	4	no	—
1179	C₄²	—	43	4	no	—
1180	C₄²	—	43	4	no	—
1181	C₄²	—	43	8	no	—
1182	C₄²	—	43	8	no	—
1183	C₄²	—	43	8	no	—
1184	C₄²	—	43	8	no	—
1185	C₄²	C₂³×D₄₃	1	8	yes	—
1186	C₂³	—	2	2	no	—
1187	C₂³	—	2	4	no	—
1188	C₂³	—	2	8	no	—
1189	C₂³	—	2	2	no	—
1190	C₂³	—	2	8	no	—
1191	C₂³	—	2	4	no	—
1192	C₂³	—	4	2	no	—
1193	C₂³	—	4	4	no	—
1194	C₂³	—	4	2	no	—
1195	C₂³	—	4	4	no	—
1196	C₂³	—	4	16	no	—
1197	C₂³	—	43	4	no	—
1198	C₂³	—	86	4	no	—
1199	C₂³	—	172	4	no	—
1200	C₂³	#41×D₄₃	1	4	yes	—
1201	C₂³	C₂⁴×D₄₃	1	2	yes	—
1202	C₂³	C₂⁴×D₄₃	1	4	yes	—
1203	C₂³	C₂⁴×D₄₃	1	2	yes	—
1204	C₂³	C₂⁴×D₄₃	1	1	yes	characteristic
1205	C₂³	C₂⁴×D₄₃	1	2	yes	—
1206	Q₈	—	4	4	no	—
1207	Q₈	—	86	8	no	—
1208	Q₈	—	86	8	no	—
1209	Q₈	—	172	4	no	—
1210	Q₈	—	172	8	no	—
1211	D₄	—	2	8	no	—
1212	D₄	—	2	8	no	—
1213	D₄	—	2	16	no	—
1214	D₄	—	4	8	no	—
1215	D₄	—	4	4	no	—
1216	D₄	—	86	8	no	—
1217	D₄	—	86	8	no	—
1218	D₄	—	86	8	no	—
1219	D₄	—	86	8	no	—
1220	D₄	—	86	16	no	—
1221	D₄	—	172	4	no	—
1222	D₄	—	172	8	no	—
1223	D₄	—	172	8	no	—
1224	C₂×C₄	—	2	4	no	—
1225	C₂×C₄	—	2	8	no	—
1226	C₂×C₄	—	4	2	no	—
1227	C₂×C₄	—	4	4	no	—
1228	C₂×C₄	—	4	2	no	—
1229	C₂×C₄	—	4	4	no	—
1230	C₂×C₄	—	4	8	no	—
1231	C₂×C₄	—	43	8	no	—
1232	C₂×C₄	—	43	8	no	—
1233	C₂×C₄	—	43	4	no	—
1234	C₂×C₄	—	43	4	no	—
1235	C₂×C₄	—	43	1	no	—
1236	C₂×C₄	—	43	1	no	—
1237	C₂×C₄	—	43	2	no	—
1238	C₂×C₄	—	43	2	no	—
1239	C₂×C₄	—	43	4	no	—
1240	C₂×C₄	—	43	4	no	—
1241	C₂×C₄	—	43	4	no	—
1242	C₂×C₄	—	43	8	no	—
1243	C₂×C₄	—	43	2	no	—
1244	C₂×C₄	—	86	8	no	—
1245	C₂×C₄	—	86	8	no	—
1246	C₂×C₄	—	86	4	no	—
1247	C₂×C₄	—	86	4	no	—
1248	C₂×C₄	—	86	8	no	—
1249	C₂×C₄	—	86	8	no	—
1250	C₂×C₄	—	86	4	no	—
1251	C₂×C₄	—	86	4	no	—
1252	C₂×C₄	—	86	8	no	—
1253	C₂×C₄	—	86	8	no	—
1254	C₂×C₄	—	86	8	no	—
1255	C₂×C₄	—	86	2	no	—
1256	C₂×C₄	—	86	2	no	—
1257	C₂×C₄	—	86	4	no	—
1258	C₂×C₄	—	86	8	no	—
1259	C₂×C₄	—	172	8	no	—
1260	C₂×C₄	—	172	8	no	—
1261	C₂×C₄	—	172	2	no	—
1262	C₂×C₄	—	172	4	no	—
1263	C₂×C₄	—	172	2	no	—
1264	C₂×C₄	—	172	4	no	—
1265	C₂×C₄	—	172	8	no	—
1266	C₂×C₄	C₂⁴×D₄₃	1	4	yes	—
1267	C₂×C₄	C₂⁴×D₄₃	1	4	yes	—
1268	C₂×C₄	C₂⁴×D₄₃	1	8	yes	—
1269	C₂×C₄	C₂⁴×D₄₃	1	4	yes	—
1270	C₂²	—	2	8	no	—
1271	C₂²	—	2	2	no	—
1272	C₂²	—	2	2	no	—
1273	C₂²	—	2	2	no	—
1274	C₂²	—	2	4	no	—
1275	C₂²	—	2	2	no	—
1276	C₂²	—	2	4	no	—
1277	C₂²	—	2	8	no	—
1278	C₂²	—	2	4	no	—
1279	C₂²	—	4	4	no	—
1280	C₂²	—	4	16	no	—
1281	C₂²	—	4	4	no	—
1282	C₂²	—	8	4	no	—
1283	C₂²	—	86	4	no	—
1284	C₂²	—	86	8	no	—
1285	C₂²	—	344	4	no	—
1286	C₂²	C₂×#41×D₄₃	1	4	yes	—
1287	C₂²	C₂×#41×D₄₃	1	2	yes	—
1288	C₂²	#14583734	1	4	yes	—
1289	C₂²	C₂⁵×D₄₃	1	1	yes	characteristic
1290	C₄	—	2	4	no	—
1291	C₄	—	2	4	no	—
1292	C₄	—	2	4	no	—
1293	C₄	—	2	8	no	—
1294	C₄	—	43	2	no	—
1295	C₄	—	43	4	no	—
1296	C₄	—	43	2	no	—
1297	C₄	—	86	2	no	—
1298	C₄	—	86	2	no	—
1299	C₄	—	86	4	no	—
1300	C₄	—	86	4	no	—
1301	C₄	—	86	4	no	—
1302	C₄	—	86	8	no	—
1303	C₂	—	2	2	no	—
1304	C₂	—	2	4	no	—
1305	C₂	—	2	4	no	—
1306	C₂	—	4	2	no	—
1307	C₂	—	4	4	no	—
1308	C₂	—	172	4	no	—
1309	C₂	C₂²×#41×D₄₃	1	1	yes	characteristic
1310	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	#62814
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. #19148334	C₂	semidirect
2. #19148317	C₂	semidirect
3. #19148310	C₂	semidirect
4. #19148296	C₂	semidirect
5. #19148294	C₂	semidirect
6. #19148292	C₂	semidirect
7. #19148288	C₂	semidirect
8. #19148284	C₂	semidirect
9. #19148282	C₂	semidirect
10. #19148150	C₂	semidirect
11. #19148146	C₂	semidirect
12. #19147997	C₂	semidirect
13. #19147977	C₂	semidirect
14. #19147921	C₂	semidirect
15. #19147887	C₂	semidirect
16. C₂×#14583405	C₂	semidirect
17. #19147793	C₂	semidirect
18. C₂²×#13063281	C₂	semidirect
19. C₄₃×#3490	C₂	semidirect
22. #14583618	C₂²	semidirect
23. #14583616	C₂²	semidirect
24. #14583613	C₂²	semidirect
25. #14583611	C₂²	semidirect
26. #14583608	C₂²	semidirect
27. #14583603	C₂²	semidirect
28. #14583598	C₂²	semidirect
29. #14583594	C₂²	semidirect
30. #14583592	C₂²	semidirect
31. #14583592	C₂²	semidirect
32. #14583591	C₂²	semidirect
33. #14583589	C₂²	semidirect
34. #14583586	C₂²	semidirect
35. #14583586	C₂²	semidirect
36. #14583586	C₂²	semidirect
37. #14583585	C₂²	semidirect
38. #14583582	C₂²	semidirect
39. #14583582	C₂²	semidirect
40. #14583580	C₂²	semidirect
41. #14583580	C₂²	semidirect
42. #14583578	C₂²	semidirect
43. #14583576	C₂²	semidirect
44. #14583575	C₂²	semidirect
45. #14583575	C₂²	semidirect
46. #14583575	C₂²	semidirect
47. #14583548	C₂²	semidirect
48. #14583547	C₂²	semidirect
49. #14583543	C₂²	semidirect
50. #14583539	C₂²	semidirect
51. #14583536	C₂²	semidirect
52. #14583528	C₂²	semidirect
53. #14583528	C₂²	semidirect
56. #14583517	C₂²	semidirect
57. #14583513	C₂²	semidirect
58. #14583506	C₂²	semidirect
59. #14583499	C₂²	semidirect
60. #14583498	C₂²	semidirect
61. #14583494	C₂²	semidirect
62. #14583491	C₂²	semidirect
63. #14583487	C₂²	semidirect
64. #14583484	C₂²	semidirect
65. #14583476	C₂²	semidirect
66. #14583471	C₂²	semidirect
67. #14583464	C₂²	semidirect
70. #14583452	C₂²	semidirect
71. #14583451	C₂²	semidirect
72. #14583451	C₂²	semidirect
73. #14583451	C₂²	semidirect
74. #14583445	C₂²	semidirect
75. #14583444	C₂²	semidirect
76. #14583444	C₂²	semidirect
77. #14583435	C₂²	semidirect
78. #14583435	C₂²	semidirect
79. #14583432	C₂²	semidirect
80. #14583430	C₂²	semidirect
81. #14583430	C₂²	semidirect
82. #14583430	C₂²	semidirect
83. #14583429	C₂²	semidirect
84. #14583429	C₂²	semidirect
85. #14583428	C₂²	semidirect
86. #14583426	C₂²	semidirect
87. #14583426	C₂²	semidirect
88. #14583426	C₂²	semidirect
89. #14583410	C₂²	semidirect
90. #14583407	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
101. C₂×#13063302	C₂²	semidirect
102. C₂×#13063297	C₂²	semidirect
104. #14583378	C₂²	semidirect
105. #14583378	C₂²	semidirect
106. #14583376	C₂²	semidirect
110. #14583372	C₂²	semidirect
111. #41×Dic₄₃	C₂²	semidirect
112. #14583367	C₂²	semidirect
113. C₄×#10621900	C₂²	semidirect
114. C₄×#10621900	C₂²	semidirect
115. C₄×#10621900	C₂²	semidirect
116. C₂×D₄×Dic₄₃	C₂²	semidirect
117. C₂×(C₂²⋊D₄₃)⋊C₄	C₂²	semidirect
123. C₂×#13063281	C₂²	semidirect
124. C₂×#13063281	C₂²	semidirect
125. C₂×#13063281	C₂²	semidirect
126. C₂×#13063281	C₂²	semidirect
127. C₂×#13063281	C₂²	semidirect
128. #117×D₄₃	C₂²	semidirect
129. C₂²×Dic₄₃⋊C₄	C₂²	semidirect
131. C₂²×C₄×Dic₄₃	C₂²	semidirect
132. C₄₃×#551	C₂²	semidirect
133. C₄₃×#546	C₂²	semidirect
135. C₄₃×#538	C₂²	semidirect
137. C₄₃×#525	C₂²	semidirect
164. #13063324	C₂³	semidirect
165. #13063324	C₂³	semidirect
166. #13063324	C₂³	semidirect
167. #13063323	C₂³	semidirect
168. #13063323	C₂³	semidirect
169. #13063321	C₂³	semidirect
170. #13063320	C₂³	semidirect
171. #13063320	C₂³	semidirect
172. #13063320	C₂³	semidirect
173. #13063319	C₂³	semidirect
177. #13063318	C₂³	semidirect
178. #13063318	C₂³	semidirect
179. #13063318	C₂³	semidirect
180. #13063318	C₂³	semidirect
181. #13063317	C₂³	semidirect
182. #13063316	C₂³	semidirect
183. #13063316	C₂³	semidirect
184. #13063316	C₂³	semidirect
185. #13063315	C₂³	semidirect
186. #13063315	C₂³	semidirect
187. #13063315	C₂³	semidirect
188. #13063315	C₂³	semidirect
189. #13063315	C₂³	semidirect
190. #13063315	C₂³	semidirect
191. #13063314	C₂³	semidirect
193. #13063312	C₂³	semidirect
196. #13063311	C₂³	semidirect
197. #13063311	C₂³	semidirect
198. #13063310	C₂³	semidirect
206. #13063308	C₂³	semidirect
209. #13063307	C₂³	semidirect
216. #13063306	C₂³	semidirect
220. #13063304	C₂³	semidirect
221. #13063303	C₂³	semidirect
222. #13063303	C₂³	semidirect
231. #13063302	C₂³	semidirect
232. #13063302	C₂³	semidirect
233. #13063301	C₂³	semidirect
237. #13063298	C₂³	semidirect
245. #13063297	C₂³	semidirect
253. Q₈×Dic₄₃	C₂³	semidirect
254. Q₈×Dic₄₃	C₂³	semidirect
255. C₄×Dic₈₆	C₂³	semidirect
256. C₄×Dic₈₆	C₂³	semidirect
257. C₄×Dic₈₆	C₂³	semidirect
258. #13063290	C₂³	semidirect
259. #13063290	C₂³	semidirect
260. #13063290	C₂³	semidirect
261. #13063290	C₂³	semidirect
262. #13063290	C₂³	semidirect
270. D₄×Dic₄₃	C₂³	semidirect
271. D₄×Dic₄₃	C₂³	semidirect
272. #13063287	C₂³	semidirect
273. #13063287	C₂³	semidirect
277. C₄×C₂²⋊D₄₃	C₂³	semidirect
278. C₄×C₂²⋊D₄₃	C₂³	semidirect
279. C₄×C₂²⋊D₄₃	C₂³	semidirect
287. (C₂²⋊D₄₃)⋊C₄	C₂³	semidirect
288. (C₂²⋊D₄₃)⋊C₄	C₂³	semidirect
289. (C₂²⋊D₄₃)⋊C₄	C₂³	semidirect
292. #13063284	C₂³	semidirect
293. #13063283	C₂³	semidirect
294. #13063283	C₂³	semidirect
295. #13063282	C₂³	semidirect
296. #13063282	C₂³	semidirect
314. #13063281	C₂³	semidirect
315. #13063281	C₂³	semidirect
316. #13063281	C₂³	semidirect
326. C₂×Dic₄₃⋊C₄	C₂³	semidirect
327. C₄⋊C₄×D₄₃	C₂³	semidirect
348. C₂×C₄×Dic₄₃	C₂³	semidirect
349. C₄²×D₄₃	C₂³	semidirect
426. C₂²×Dic₄₃	#41	semidirect
657. #3490	D₄₃	semidirect
702. #551	C₂×D₄₃	semidirect
708. #546	C₂×D₄₃	semidirect
723. #538	C₂×D₄₃	semidirect
759. #525	C₂×D₄₃	semidirect
796. C₄₃	#62814	semidirect

Maximal subgroups

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

subgroup	index
#19148334	2
#19148317	2
#19148310	2
#19148296	2
#19148294	2
#19148292	2
#19148288	2
#19148284	2
#19148282	2
#19148150	2
#19148146	2
#19147997	2
#19147977	2
#19147921	2
#19147887	2
C₂×#14583405	2
#19147793	2
C₂²×#13063281	2
C₄₃×#3490	2
#62814	43