Subgroups — C₂×#19148345 #26005025

Order 11008.

7206 conjugacy classes of subgroups.

The subgroup lattice has 1268 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#19148345	C₂	1	32	yes	maximal, direct product factor
2	C₂×#14583618	C₂	1	2	yes	maximal, complemented
3	C₂×#14583603	C₂	1	2	yes	maximal, complemented
4	C₂×#14583586	C₂	1	2	yes	maximal, complemented
5	C₂×#14583585	C₂	1	2	yes	maximal, complemented
6	C₂×#14583585	C₂	1	2	yes	maximal, complemented
7	C₂×#14583583	C₂	1	2	yes	maximal, complemented
8	C₂×#14583579	C₂	1	2	yes	maximal, complemented
9	C₂×#14583577	C₂	1	2	yes	maximal, complemented
10	C₂×#14583526	C₂	1	1	yes	maximal, characteristic, complemented
11	C₂×#14583516	C₂	1	1	yes	maximal, characteristic, complemented
12	C₂×#14583511	C₂	1	1	yes	maximal, characteristic, complemented
13	C₂×#14583509	C₂	1	1	yes	maximal, characteristic, complemented
14	C₂×#14583469	C₂	1	1	yes	maximal, characteristic, complemented
15	C₂×#14583454	C₂	1	1	yes	maximal, characteristic, complemented
16	C₂×#14583453	C₂	1	1	yes	maximal, characteristic, complemented
17	C₂×#14583431	C₂	1	1	yes	maximal, characteristic, complemented
18	C₂×#14583428	C₂	1	1	yes	maximal, characteristic, complemented
19	C₂×#14583409	C₂	1	1	yes	maximal, characteristic
20	C₂×C₂²⋊Q₈×D₄₃	C₂	1	1	yes	maximal, characteristic, complemented
21	C₂×#14583378	C₂	1	1	yes	maximal, characteristic, complemented
22	C₂×#14583375	C₂	1	1	yes	maximal, characteristic, complemented
23	C₂×#117×D₄₃	C₂	1	1	yes	maximal, characteristic, complemented
24	C₂×C₄₃×#542	C₂	1	1	yes	maximal, characteristic, complemented
25	C₂²×#10621900	C₂²	1	1	yes	characteristic
26	C₂²×Q₈×D₄₃	C₂²	1	1	yes	characteristic
27	C₂³×C₄×D₄₃	C₂²	1	1	yes	characteristic
28	#14583618	C₂²	1	32	yes	complemented
29	#14583603	C₂²	1	32	yes	complemented
30	#14583586	C₂²	1	32	yes	complemented
31	#14583585	C₂²	1	32	yes	complemented
32	#14583585	C₂²	1	32	yes	complemented
33	#14583583	C₂²	1	32	yes	complemented
34	#14583579	C₂²	1	32	yes	complemented
35	#14583577	C₂²	1	32	yes	complemented
36	#14583526	C₂²	1	16	yes	complemented
37	#14583516	C₂²	1	16	yes	complemented
38	#14583511	C₂²	1	16	yes	complemented
39	#14583509	C₂²	1	16	yes	complemented
40	#14583469	C₂²	1	16	yes	complemented
41	#14583454	C₂²	1	16	yes	complemented
42	#14583453	C₂²	1	16	yes	complemented
43	C₂×#13063325	C₂²	1	1	yes	characteristic, complemented
44	C₂×#13063324	C₂²	1	1	yes	characteristic, complemented
45	C₂×#13063323	C₂²	1	2	yes	complemented
46	C₂×#13063323	C₂²	1	1	yes	characteristic, complemented
47	#14583431	C₂²	1	16	yes	complemented
48	#14583428	C₂²	1	16	yes	complemented
49	C₂×#13063318	C₂²	1	2	yes	—
50	C₂×#13063318	C₂²	1	2	yes	—
51	C₂×#13063318	C₂²	1	2	yes	—
52	C₂×#13063318	C₂²	1	2	yes	—
53	C₂×#13063318	C₂²	1	2	yes	complemented
54	C₂×#13063318	C₂²	1	2	yes	complemented
55	C₂×#13063318	C₂²	1	2	yes	complemented
56	C₂×#13063317	C₂²	1	1	yes	characteristic, complemented
57	C₂×#13063316	C₂²	1	2	yes	complemented
58	C₂×#13063316	C₂²	1	2	yes	complemented
59	C₂×#13063316	C₂²	1	1	yes	characteristic, complemented
60	C₂×#13063315	C₂²	1	2	yes	complemented
61	C₂×#13063315	C₂²	1	2	yes	complemented
62	C₂×#13063315	C₂²	1	2	yes	complemented
63	C₂×#13063315	C₂²	1	2	yes	complemented
64	C₂×#13063315	C₂²	1	2	yes	complemented
65	C₂×#13063312	C₂²	1	2	yes	—
66	C₂×#13063312	C₂²	1	1	yes	characteristic, complemented
67	#14583409	C₂²	1	16	yes	—
68	C₂×#13063307	C₂²	1	2	yes	—
69	C₂×#13063307	C₂²	1	2	yes	—
70	C₂×#13063307	C₂²	1	2	yes	—
71	C₂×#13063307	C₂²	1	2	yes	—
72	C₂×#13063307	C₂²	1	2	yes	—
73	C₂×#13063306	C₂²	1	2	yes	—
74	C₂×#13063305	C₂²	1	1	yes	characteristic
75	C₂×#13063305	C₂²	1	1	yes	characteristic
76	C₂×#13063304	C₂²	1	1	yes	characteristic
77	C₂×#13063304	C₂²	1	1	yes	characteristic
78	C₂×#13063303	C₂²	1	2	yes	—
79	C₂×#13063303	C₂²	1	2	yes	—
80	C₂×#13063303	C₂²	1	2	yes	—
81	C₂×#13063302	C₂²	1	2	yes	—
82	C₂×#13063302	C₂²	1	2	yes	complemented
83	C₂×#13063302	C₂²	1	2	yes	complemented
84	C₂×#13063302	C₂²	1	2	yes	complemented
85	C₂×#13063301	C₂²	1	1	yes	characteristic
86	C₂×#13063301	C₂²	1	2	yes	—
87	C₂×#13063301	C₂²	1	2	yes	—
88	C₂²⋊Q₈×D₄₃	C₂²	1	16	yes	complemented
89	C₂×#13063296	C₂²	1	1	yes	characteristic
90	C₂×#13063293	C₂²	1	2	yes	—
91	#14583378	C₂²	1	16	yes	complemented
92	#14583375	C₂²	1	16	yes	complemented
93	C₂×Q₈×Dic₄₃	C₂²	1	1	yes	characteristic, complemented
94	C₂×Q₈×Dic₄₃	C₂²	1	2	yes	complemented
95	C₂×C₄×Dic₈₆	C₂²	1	2	yes	complemented
96	C₂×C₄×Dic₈₆	C₂²	1	1	yes	characteristic, complemented
97	C₂×C₄×Dic₈₆	C₂²	1	1	yes	characteristic, complemented
98	C₂×C₄×Dic₈₆	C₂²	1	2	yes	complemented
99	C₂×#13063290	C₂²	1	2	yes	complemented
100	C₂×#13063290	C₂²	1	1	yes	characteristic, complemented
101	C₂×#13063290	C₂²	1	1	yes	characteristic, complemented
102	C₂×D₄×Dic₄₃	C₂²	1	2	yes	—
103	C₂×D₄×Dic₄₃	C₂²	1	1	yes	characteristic, complemented
104	C₂×C₄×C₂²⋊D₄₃	C₂²	1	2	yes	—
105	C₂×C₄×C₂²⋊D₄₃	C₂²	1	2	yes	—
106	C₂×(C₂²⋊D₄₃)⋊C₄	C₂²	1	2	yes	—
107	C₂×(C₂²⋊D₄₃)⋊C₄	C₂²	1	2	yes	—
108	C₂×(C₂²⋊D₄₃)⋊C₄	C₂²	1	2	yes	—
109	C₂×#13063284	C₂²	1	1	yes	characteristic
110	C₂×#13063284	C₂²	1	2	yes	complemented
111	C₂×#13063283	C₂²	1	1	yes	characteristic
112	C₂×#13063283	C₂²	1	2	yes	—
113	C₂×#13063283	C₂²	1	2	yes	—
114	C₂×#13063283	C₂²	1	1	yes	characteristic
115	C₂×#13063283	C₂²	1	1	yes	characteristic
116	C₂×#13063282	C₂²	1	1	yes	characteristic
117	C₂×#13063282	C₂²	1	2	yes	—
118	C₂×#13063282	C₂²	1	2	yes	—
119	C₂×#13063282	C₂²	1	1	yes	characteristic
120	C₂×#13063281	C₂²	1	1	yes	characteristic
121	C₂×#13063281	C₂²	1	1	yes	characteristic
122	C₂×#13063281	C₂²	1	2	yes	complemented
123	C₂×#13063281	C₂²	1	2	yes	complemented
124	#117×D₄₃	C₂²	1	16	yes	complemented
125	C₂²×Dic₄₃⋊C₄	C₂²	1	2	yes	complemented
126	C₂×C₄⋊C₄×D₄₃	C₂²	1	1	yes	characteristic
127	C₂×C₄⋊C₄×D₄₃	C₂²	1	2	yes	—
128	C₂×C₄⋊C₄×D₄₃	C₂²	1	1	yes	characteristic
129	C₂×C₄⋊C₄×D₄₃	C₂²	1	1	yes	characteristic
130	C₂×C₂²⋊C₄×D₄₃	C₂²	1	2	yes	—
131	C₂×C₂²⋊C₄×D₄₃	C₂²	1	1	yes	characteristic
132	C₂×C₂²⋊C₄×D₄₃	C₂²	1	1	yes	characteristic
133	C₂×C₄²×D₄₃	C₂²	1	1	yes	characteristic
134	C₂×C₄²×D₄₃	C₂²	1	1	yes	characteristic
135	C₄₃×#542	C₂²	1	16	yes	complemented
136	C₂×C₄⋊Q₈×C₄₃	C₂²	1	1	yes	characteristic, complemented
137	C₂×#126×C₄₃	C₂²	1	2	yes	complemented
138	C₂×#124×C₄₃	C₂²	1	2	yes	—
139	C₂×#124×C₄₃	C₂²	1	1	yes	characteristic, complemented
140	C₂×#123×C₄₃	C₂²	1	2	yes	—
141	C₂×C₂²⋊Q₈×C₄₃	C₂²	1	1	yes	characteristic
142	C₂×C₂²⋊Q₈×C₄₃	C₂²	1	2	yes	complemented
143	C₂×#121×C₄₃	C₂²	1	1	yes	characteristic
144	C₂×C₄×Q₈×C₄₃	C₂²	1	1	yes	characteristic, complemented
145	C₂×C₄×D₄×C₄₃	C₂²	1	1	yes	characteristic, complemented
146	C₂×#117×C₄₃	C₂²	1	1	yes	characteristic
147	C₂⁴×D₄₃	C₂³	1	1	yes	characteristic
148	C₂×#10621900	—	2	8	no	—
149	C₂×#10621900	C₂³	1	8	yes	—
150	C₂²×Dic₈₆	C₂³	1	2	yes	—
151	C₂²×Dic₈₆	C₂³	1	1	yes	characteristic
152	C₂²×Dic₈₆	C₂³	1	1	yes	characteristic
153	C₂²×Dic₈₆	C₂³	1	2	yes	—
154	C₂×Q₈×D₄₃	—	2	8	no	—
155	C₂×Q₈×D₄₃	C₂³	1	8	yes	—
156	C₂²×C₂²⋊D₄₃	C₂³	1	2	yes	—
157	C₂²×C₂²⋊D₄₃	C₂³	1	2	yes	—
158	C₂³×Dic₄₃	C₂³	1	2	yes	—
159	C₂³×Dic₄₃	C₂³	1	1	yes	characteristic
160	C₂³×Dic₄₃	C₂³	1	2	yes	—
161	C₂²×C₄×D₄₃	—	2	8	no	—
162	C₂²×C₄×D₄₃	C₂³	1	1	yes	characteristic
163	C₂²×C₄×D₄₃	C₂³	1	1	yes	characteristic
164	C₂²×C₄×D₄₃	C₂³	1	1	yes	characteristic
165	C₂²×C₄×D₄₃	C₂³	1	2	yes	—
166	C₂²×C₄×D₄₃	C₂³	1	1	yes	characteristic
167	C₂²×C₄×D₄₃	C₂³	1	1	yes	characteristic
168	C₂²×C₄×D₄₃	C₂³	1	8	yes	—
169	C₂²×C₄×D₄₃	C₂³	1	1	yes	characteristic
170	C₂²×C₄×D₄₃	C₂³	1	1	yes	characteristic
171	C₂²×C₄×D₄₃	C₂³	1	2	yes	—
172	C₂²×C₄×D₄₃	C₂³	1	1	yes	characteristic
173	#13063325	C₂³	1	8	yes	complemented
174	#13063324	C₂³	1	8	yes	complemented
175	#13063323	C₂³	1	16	yes	complemented
176	#13063323	C₂³	1	8	yes	complemented
177	#13063318	C₂³	1	16	yes	—
178	#13063318	C₂³	1	16	yes	—
179	#13063318	C₂³	1	16	yes	—
180	#13063318	C₂³	1	16	yes	—
181	#13063318	C₂³	1	16	yes	complemented
182	#13063318	C₂³	1	16	yes	complemented
183	#13063318	C₂³	1	16	yes	complemented
184	#13063317	C₂³	1	8	yes	complemented
185	#13063316	C₂³	1	16	yes	complemented
186	#13063316	C₂³	1	16	yes	complemented
187	#13063316	C₂³	1	8	yes	complemented
188	#13063315	C₂³	1	16	yes	complemented
189	#13063315	C₂³	1	16	yes	complemented
190	#13063315	C₂³	1	16	yes	complemented
191	#13063315	C₂³	1	16	yes	complemented
192	#13063315	C₂³	1	16	yes	complemented
193	#13063312	C₂³	1	16	yes	—
194	#13063312	C₂³	1	8	yes	complemented
195	#13063307	C₂³	1	16	yes	—
196	#13063307	C₂³	1	16	yes	—
197	#13063307	C₂³	1	16	yes	—
198	#13063307	C₂³	1	16	yes	—
199	#13063307	C₂³	1	16	yes	—
200	#13063306	C₂³	1	16	yes	—
201	#13063305	C₂³	1	8	yes	—
202	#13063305	C₂³	1	8	yes	—
203	#13063304	C₂³	1	8	yes	—
204	#13063304	C₂³	1	8	yes	—
205	#13063303	C₂³	1	16	yes	—
206	#13063303	C₂³	1	16	yes	—
207	#13063303	C₂³	1	16	yes	—
208	#13063302	C₂³	1	16	yes	—
209	#13063302	C₂³	1	16	yes	complemented
210	#13063302	C₂³	1	16	yes	complemented
211	#13063302	C₂³	1	16	yes	complemented
212	#13063301	C₂³	1	16	yes	—
213	#13063301	C₂³	1	16	yes	—
214	#13063301	C₂³	1	8	yes	—
215	#13063296	C₂³	1	8	yes	—
216	#13063293	C₂³	1	16	yes	—
217	Q₈×Dic₄₃	C₂³	1	16	yes	complemented
218	Q₈×Dic₄₃	C₂³	1	8	yes	complemented
219	C₄×Dic₈₆	C₂³	1	16	yes	complemented
220	C₄×Dic₈₆	C₂³	1	16	yes	complemented
221	C₄×Dic₈₆	C₂³	1	8	yes	complemented
222	C₄×Dic₈₆	C₂³	1	8	yes	complemented
223	#13063290	C₂³	1	16	yes	complemented
224	#13063290	C₂³	1	8	yes	complemented
225	#13063290	C₂³	1	8	yes	complemented
226	D₄×Dic₄₃	C₂³	1	16	yes	—
227	D₄×Dic₄₃	C₂³	1	8	yes	complemented
228	C₄×C₂²⋊D₄₃	C₂³	1	16	yes	—
229	C₄×C₂²⋊D₄₃	C₂³	1	16	yes	—
230	(C₂²⋊D₄₃)⋊C₄	C₂³	1	16	yes	—
231	(C₂²⋊D₄₃)⋊C₄	C₂³	1	16	yes	—
232	(C₂²⋊D₄₃)⋊C₄	C₂³	1	16	yes	—
233	#13063284	C₂³	1	8	yes	—
234	#13063284	C₂³	1	16	yes	complemented
235	#13063283	C₂³	1	16	yes	—
236	#13063283	C₂³	1	16	yes	—
237	#13063283	C₂³	1	8	yes	—
238	#13063283	C₂³	1	8	yes	—
239	#13063283	C₂³	1	8	yes	—
240	#13063282	C₂³	1	16	yes	—
241	#13063282	C₂³	1	16	yes	—
242	#13063282	C₂³	1	8	yes	—
243	#13063282	C₂³	1	8	yes	—
244	#13063281	C₂³	1	8	yes	—
245	#13063281	C₂³	1	8	yes	—
246	#13063281	C₂³	1	16	yes	complemented
247	#13063281	C₂³	1	16	yes	complemented
248	C₂×C₄⋊Dic₄₃	C₂³	1	1	yes	characteristic
249	C₂×C₄⋊Dic₄₃	C₂³	1	1	yes	characteristic
250	C₂×C₄⋊Dic₄₃	C₂³	1	2	yes	—
251	C₂×C₄⋊Dic₄₃	C₂³	1	1	yes	characteristic
252	C₂×C₄⋊Dic₄₃	C₂³	1	1	yes	characteristic
253	C₂×C₄⋊Dic₄₃	C₂³	1	2	yes	—
254	C₂×C₄⋊Dic₄₃	C₂³	1	2	yes	—
255	C₂×C₄⋊Dic₄₃	C₂³	1	2	yes	—
256	C₂×C₄⋊Dic₄₃	C₂³	1	2	yes	—
257	C₂×C₄⋊Dic₄₃	C₂³	1	2	yes	—
258	C₂×Dic₄₃⋊C₄	C₂³	1	1	yes	characteristic
259	C₂×Dic₄₃⋊C₄	C₂³	1	2	yes	—
260	C₂×Dic₄₃⋊C₄	C₂³	1	1	yes	characteristic
261	C₂×Dic₄₃⋊C₄	C₂³	1	1	yes	characteristic
262	C₂×Dic₄₃⋊C₄	C₂³	1	1	yes	characteristic
263	C₂×Dic₄₃⋊C₄	C₂³	1	2	yes	—
264	C₂×Dic₄₃⋊C₄	C₂³	1	2	yes	—
265	C₂×Dic₄₃⋊C₄	C₂³	1	2	yes	—
266	C₂×Dic₄₃⋊C₄	C₂³	1	2	yes	—
267	C₂×Dic₄₃⋊C₄	C₂³	1	2	yes	—
268	C₂×Dic₄₃⋊C₄	C₂³	1	2	yes	—
269	C₂×Dic₄₃⋊C₄	C₂³	1	2	yes	—
270	C₂×Dic₄₃⋊C₄	C₂³	1	2	yes	—
271	C₂×Dic₄₃⋊C₄	C₂³	1	2	yes	—
272	C₂×Dic₄₃⋊C₄	C₂³	1	2	yes	—
273	C₂×Dic₄₃⋊C₄	C₂³	1	2	yes	—
274	C₂×Dic₄₃⋊C₄	C₂³	1	2	yes	—
275	C₂×Dic₄₃⋊C₄	C₂³	1	2	yes	—
276	C₂×Dic₄₃⋊C₄	C₂³	1	16	yes	complemented
277	C₄⋊C₄×D₄₃	C₂³	1	16	yes	—
278	C₄⋊C₄×D₄₃	C₂³	1	8	yes	—
279	C₄⋊C₄×D₄₃	C₂³	1	8	yes	—
280	C₄⋊C₄×D₄₃	C₂³	1	8	yes	—
281	C₂×C₂²⋊Dic₄₃	C₂³	1	1	yes	characteristic
282	C₂×C₂²⋊Dic₄₃	C₂³	1	1	yes	characteristic
283	C₂×C₂²⋊Dic₄₃	C₂³	1	2	yes	—
284	C₂×C₂²⋊Dic₄₃	C₂³	1	2	yes	—
285	C₂×C₂²⋊Dic₄₃	C₂³	1	2	yes	—
286	C₂×C₂²⋊Dic₄₃	C₂³	1	2	yes	—
287	C₂×C₂²⋊Dic₄₃	C₂³	1	2	yes	—
288	C₂×C₂²⋊Dic₄₃	C₂³	1	2	yes	—
289	C₂×(C₂×D₄₃)⋊C₄	C₂³	1	1	yes	characteristic
290	C₂×(C₂×D₄₃)⋊C₄	C₂³	1	1	yes	characteristic
291	C₂×(C₂×D₄₃)⋊C₄	C₂³	1	1	yes	characteristic
292	C₂×(C₂×D₄₃)⋊C₄	C₂³	1	1	yes	characteristic
293	C₂×(C₂×D₄₃)⋊C₄	C₂³	1	2	yes	—
294	C₂×(C₂×D₄₃)⋊C₄	C₂³	1	2	yes	—
295	C₂×(C₂×D₄₃)⋊C₄	C₂³	1	2	yes	—
296	C₂×(C₂×D₄₃)⋊C₄	C₂³	1	2	yes	—
297	C₂²⋊C₄×D₄₃	C₂³	1	8	yes	—
298	C₂²⋊C₄×D₄₃	C₂³	1	16	yes	—
299	C₂²⋊C₄×D₄₃	C₂³	1	8	yes	—
300	C₂×C₄×Dic₄₃	C₂³	1	1	yes	characteristic
301	C₂×C₄×Dic₄₃	C₂³	1	1	yes	characteristic
302	C₂×C₄×Dic₄₃	C₂³	1	1	yes	characteristic
303	C₂×C₄×Dic₄₃	C₂³	1	1	yes	characteristic
304	C₂×C₄×Dic₄₃	C₂³	1	1	yes	characteristic
305	C₂×C₄×Dic₄₃	C₂³	1	1	yes	characteristic
306	C₂×C₄×Dic₄₃	C₂³	1	2	yes	—
307	C₂×C₄×Dic₄₃	C₂³	1	2	yes	—
308	C₂×C₄×Dic₄₃	C₂³	1	2	yes	—
309	C₂×C₄×Dic₄₃	C₂³	1	2	yes	—
310	C₂×C₄×Dic₄₃	C₂³	1	2	yes	—
311	C₂×C₄×Dic₄₃	C₂³	1	2	yes	—
312	C₄²×D₄₃	C₂³	1	8	yes	—
313	C₄²×D₄₃	C₂³	1	8	yes	—
314	C₂²×Q₈×C₄₃	C₂³	1	1	yes	characteristic
315	C₂²×Q₈×C₄₃	C₂³	1	2	yes	—
316	C₂²×D₄×C₄₃	C₂³	1	1	yes	characteristic
317	C₂²×D₄×C₄₃	C₂³	1	2	yes	—
318	C₂³×C₄×C₄₃	C₂³	1	1	yes	characteristic
319	C₂³×C₄×C₄₃	C₂³	1	2	yes	—
320	C₄⋊Q₈×C₄₃	C₂³	1	8	yes	complemented
321	#126×C₄₃	C₂³	1	16	yes	complemented
322	#124×C₄₃	C₂³	1	16	yes	—
323	#124×C₄₃	C₂³	1	8	yes	complemented
324	#123×C₄₃	C₂³	1	16	yes	—
325	C₂²⋊Q₈×C₄₃	C₂³	1	8	yes	—
326	C₂²⋊Q₈×C₄₃	C₂³	1	16	yes	complemented
327	#121×C₄₃	C₂³	1	8	yes	—
328	C₄×Q₈×C₄₃	C₂³	1	8	yes	complemented
329	C₄×D₄×C₄₃	C₂³	1	8	yes	complemented
330	#117×C₄₃	C₂³	1	8	yes	—
331	C₂×C₄⋊C₄×C₄₃	C₂³	1	1	yes	characteristic
332	C₂×C₄⋊C₄×C₄₃	C₂³	1	1	yes	characteristic
333	C₂×C₄⋊C₄×C₄₃	C₂³	1	1	yes	characteristic
334	C₂×C₄⋊C₄×C₄₃	C₂³	1	1	yes	characteristic
335	C₂×C₄⋊C₄×C₄₃	C₂³	1	2	yes	—
336	C₂×C₄⋊C₄×C₄₃	C₂³	1	2	yes	—
337	C₂×C₄⋊C₄×C₄₃	C₂³	1	2	yes	—
338	C₂×C₂²⋊C₄×C₄₃	C₂³	1	1	yes	characteristic
339	C₂×C₂²⋊C₄×C₄₃	C₂³	1	1	yes	characteristic
340	C₂×C₂²⋊C₄×C₄₃	C₂³	1	2	yes	—
341	C₂×C₂²⋊C₄×C₄₃	C₂³	1	2	yes	—
342	C₂×C₂²⋊C₄×C₄₃	C₂³	1	2	yes	—
343	C₂×C₂²⋊C₄×C₄₃	C₂³	1	2	yes	—
344	C₂×C₂²⋊C₄×C₄₃	C₂³	1	2	yes	—
345	C₂×C₄²×C₄₃	C₂³	1	1	yes	characteristic
346	C₂×C₄²×C₄₃	C₂³	1	1	yes	characteristic
347	C₂×C₄²×C₄₃	C₂³	1	2	yes	—
348	C₂⁴×C₄₃	C₂⁴	1	1	yes	characteristic
349	C₂⁴×C₄₃	C₂⁴	1	2	yes	—
350	C₂³×D₄₃	—	2	4	no	—
351	C₂³×D₄₃	—	2	4	no	—
352	C₂³×D₄₃	—	4	2	no	—
353	C₂³×D₄₃	C₂⁴	1	4	yes	—
354	C₂³×D₄₃	C₂⁴	1	1	yes	characteristic
355	C₂³×D₄₃	C₂⁴	1	1	yes	characteristic
356	C₂×Q₈×C₄₃	—	2	4	no	—
357	C₂×Q₈×C₄₃	—	4	4	no	—
358	C₂×Q₈×C₄₃	C₂⁴	1	4	yes	—
359	C₂×Q₈×C₄₃	C₂⁴	1	8	yes	—
360	C₂×D₄×C₄₃	—	2	4	no	—
361	C₂×D₄×C₄₃	—	4	4	no	—
362	C₂×D₄×C₄₃	C₂⁴	1	4	yes	—
363	C₂×D₄×C₄₃	C₂⁴	1	8	yes	—
364	C₂²×C₄×C₄₃	—	2	4	no	—
365	C₂²×C₄×C₄₃	—	4	4	no	—
366	C₂²×C₄×C₄₃	C₂⁴	1	1	yes	characteristic
367	C₂²×C₄×C₄₃	C₂⁴	1	1	yes	characteristic
368	C₂²×C₄×C₄₃	C₂⁴	1	2	yes	—
369	C₂²×C₄×C₄₃	C₂⁴	1	1	yes	characteristic
370	C₂²×C₄×C₄₃	C₂⁴	1	1	yes	characteristic
371	C₂²×C₄×C₄₃	C₂⁴	1	2	yes	—
372	C₂²×C₄×C₄₃	C₂⁴	1	1	yes	characteristic
373	C₂²×C₄×C₄₃	C₂⁴	1	2	yes	—
374	C₂²×C₄×C₄₃	C₂⁴	1	4	yes	—
375	C₂²×C₄×C₄₃	C₂⁴	1	8	yes	—
376	C₂²×C₄×C₄₃	C₂⁴	1	1	yes	characteristic
377	C₂×C₂²⋊D₄₃	—	2	8	no	—
378	C₂×C₂²⋊D₄₃	—	2	8	no	—
379	C₂×C₂²⋊D₄₃	C₂⁴	1	8	yes	—
380	C₂×C₂²⋊D₄₃	C₂⁴	1	8	yes	—
381	C₂²×Dic₄₃	—	2	4	no	—
382	C₂²×Dic₄₃	—	2	8	no	—
383	C₂²×Dic₄₃	—	4	4	no	—
384	C₂²×Dic₄₃	C₂⁴	1	1	yes	characteristic
385	C₂²×Dic₄₃	C₂⁴	1	1	yes	characteristic
386	C₂²×Dic₄₃	C₂⁴	1	1	yes	characteristic
387	C₂²×Dic₄₃	C₂⁴	1	2	yes	—
388	C₂²×Dic₄₃	C₂⁴	1	1	yes	characteristic
389	C₂²×Dic₄₃	C₂⁴	1	1	yes	characteristic
390	C₂²×Dic₄₃	C₂⁴	1	2	yes	—
391	C₂²×Dic₄₃	C₂⁴	1	2	yes	—
392	C₂²×Dic₄₃	C₂⁴	1	2	yes	—
393	C₂²×Dic₄₃	C₂⁴	1	8	yes	—
394	C₂²×Dic₄₃	C₂⁴	1	4	yes	—
395	C₂²×Dic₄₃	C₂⁴	1	8	yes	—
396	C₂²×Dic₄₃	C₂⁴	1	1	yes	characteristic
397	Q₈×D₄₃	—	2	32	no	—
398	#10621900	—	2	32	no	—
399	C₂×C₄×D₄₃	—	2	4	no	—
400	C₂×C₄×D₄₃	—	2	4	no	—
401	C₂×C₄×D₄₃	—	2	32	no	—
402	C₂×C₄×D₄₃	—	2	4	no	—
403	C₂×C₄×D₄₃	—	2	8	no	—
404	C₂×C₄×D₄₃	—	2	4	no	—
405	C₂×C₄×D₄₃	—	2	4	no	—
406	C₂×C₄×D₄₃	—	4	2	no	—
407	C₂×C₄×D₄₃	—	4	4	no	—
408	C₂×C₄×D₄₃	—	4	2	no	—
409	C₂×C₄×D₄₃	#41	1	8	yes	—
410	C₂×C₄×D₄₃	C₂⁴	1	4	yes	—
411	C₂×C₄×D₄₃	C₂⁴	1	4	yes	—
412	C₂×C₄×D₄₃	C₂⁴	1	4	yes	—
413	C₂×C₄×D₄₃	C₂⁴	1	8	yes	—
414	C₂×C₄×D₄₃	C₂⁴	1	4	yes	—
415	C₂×C₄×D₄₃	C₂⁴	1	4	yes	—
416	C₂×C₄×D₄₃	C₂⁴	1	4	yes	—
417	C₂×C₄×D₄₃	C₂⁴	1	4	yes	—
418	C₂×C₄×D₄₃	C₂⁴	1	8	yes	—
419	C₂×C₄×D₄₃	C₂⁴	1	4	yes	—
420	C₂×Dic₈₆	—	2	4	no	—
421	C₂×Dic₈₆	—	2	4	no	—
422	C₂×Dic₈₆	—	2	8	no	—
423	C₂×Dic₈₆	—	4	4	no	—
424	C₂×Dic₈₆	C₂⁴	1	8	yes	—
425	C₂×Dic₈₆	C₂⁴	1	4	yes	—
426	C₂×Dic₈₆	C₂⁴	1	4	yes	—
427	C₂×Dic₈₆	C₂⁴	1	8	yes	—
428	C₄⋊C₄×C₄₃	C₂⁴	1	4	yes	—
429	C₄⋊C₄×C₄₃	C₂⁴	1	4	yes	—
430	C₄⋊C₄×C₄₃	C₂⁴	1	4	yes	—
431	C₄⋊C₄×C₄₃	C₂⁴	1	4	yes	—
432	C₄⋊C₄×C₄₃	C₂⁴	1	8	yes	—
433	C₄⋊C₄×C₄₃	C₂⁴	1	8	yes	—
434	C₄⋊C₄×C₄₃	C₂⁴	1	8	yes	—
435	C₂²⋊C₄×C₄₃	C₂⁴	1	4	yes	—
436	C₂²⋊C₄×C₄₃	C₂⁴	1	4	yes	—
437	C₂²⋊C₄×C₄₃	C₂⁴	1	8	yes	—
438	C₂²⋊C₄×C₄₃	C₂⁴	1	8	yes	—
439	C₂²⋊C₄×C₄₃	C₂⁴	1	8	yes	—
440	C₂²⋊C₄×C₄₃	C₂⁴	1	8	yes	—
441	C₂²⋊C₄×C₄₃	C₂⁴	1	8	yes	—
442	C₄²×C₄₃	C₂⁴	1	4	yes	—
443	C₄²×C₄₃	C₂⁴	1	4	yes	—
444	C₄²×C₄₃	C₂⁴	1	8	yes	—
445	C₂²⋊Dic₄₃	C₂⁴	1	4	yes	—
446	C₂²⋊Dic₄₃	C₂⁴	1	4	yes	—
447	C₂²⋊Dic₄₃	C₂⁴	1	8	yes	—
448	C₂²⋊Dic₄₃	C₂⁴	1	8	yes	—
449	C₂²⋊Dic₄₃	C₂⁴	1	8	yes	—
450	C₂²⋊Dic₄₃	C₂⁴	1	8	yes	—
451	C₂²⋊Dic₄₃	C₂⁴	1	8	yes	—
452	C₂²⋊Dic₄₃	C₂⁴	1	8	yes	—
453	(C₂×D₄₃)⋊C₄	C₂⁴	1	4	yes	—
454	(C₂×D₄₃)⋊C₄	C₂⁴	1	4	yes	—
455	(C₂×D₄₃)⋊C₄	C₂⁴	1	4	yes	—
456	(C₂×D₄₃)⋊C₄	C₂⁴	1	4	yes	—
457	(C₂×D₄₃)⋊C₄	C₂⁴	1	8	yes	—
458	(C₂×D₄₃)⋊C₄	C₂⁴	1	8	yes	—
459	(C₂×D₄₃)⋊C₄	C₂⁴	1	8	yes	—
460	(C₂×D₄₃)⋊C₄	C₂⁴	1	8	yes	—
461	C₄⋊Dic₄₃	C₂⁴	1	4	yes	—
462	C₄⋊Dic₄₃	C₂⁴	1	4	yes	—
463	C₄⋊Dic₄₃	C₂⁴	1	8	yes	—
464	C₄⋊Dic₄₃	C₂⁴	1	4	yes	—
465	C₄⋊Dic₄₃	C₂⁴	1	4	yes	—
466	C₄⋊Dic₄₃	C₂⁴	1	8	yes	—
467	C₄⋊Dic₄₃	C₂⁴	1	8	yes	—
468	C₄⋊Dic₄₃	C₂⁴	1	8	yes	—
469	C₄⋊Dic₄₃	C₂⁴	1	8	yes	—
470	C₄⋊Dic₄₃	C₂⁴	1	8	yes	—
471	Dic₄₃⋊C₄	C₂⁴	1	4	yes	—
472	Dic₄₃⋊C₄	C₂⁴	1	8	yes	—
473	Dic₄₃⋊C₄	C₂⁴	1	4	yes	—
474	Dic₄₃⋊C₄	C₂⁴	1	4	yes	—
475	Dic₄₃⋊C₄	C₂⁴	1	4	yes	—
476	Dic₄₃⋊C₄	C₂⁴	1	8	yes	—
477	Dic₄₃⋊C₄	C₂⁴	1	8	yes	—
478	Dic₄₃⋊C₄	C₂⁴	1	8	yes	—
479	Dic₄₃⋊C₄	C₂⁴	1	8	yes	—
480	Dic₄₃⋊C₄	C₂⁴	1	8	yes	—
481	Dic₄₃⋊C₄	C₂⁴	1	8	yes	—
482	Dic₄₃⋊C₄	C₂⁴	1	8	yes	—
483	Dic₄₃⋊C₄	C₂⁴	1	8	yes	—
484	Dic₄₃⋊C₄	C₂⁴	1	8	yes	—
485	Dic₄₃⋊C₄	C₂⁴	1	8	yes	—
486	Dic₄₃⋊C₄	C₂⁴	1	8	yes	—
487	Dic₄₃⋊C₄	C₂⁴	1	8	yes	—
488	Dic₄₃⋊C₄	C₂⁴	1	8	yes	—
489	C₄×Dic₄₃	C₂⁴	1	4	yes	—
490	C₄×Dic₄₃	C₂⁴	1	4	yes	—
491	C₄×Dic₄₃	C₂⁴	1	4	yes	—
492	C₄×Dic₄₃	C₂⁴	1	4	yes	—
493	C₄×Dic₄₃	C₂⁴	1	4	yes	—
494	C₄×Dic₄₃	C₂⁴	1	4	yes	—
495	C₄×Dic₄₃	C₂⁴	1	8	yes	—
496	C₄×Dic₄₃	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	8	yes	—
501	C₂³×C₄₃	—	2	4	no	—
502	C₂³×C₄₃	—	2	2	no	—
503	C₂³×C₄₃	—	2	4	no	—
504	C₂³×C₄₃	—	2	2	no	—
505	C₂³×C₄₃	—	2	4	no	—
506	C₂³×C₄₃	—	2	2	no	—
507	C₂³×C₄₃	C₂⁵	1	2	yes	—
508	C₂³×C₄₃	C₂⁵	1	4	yes	—
509	C₂³×C₄₃	C₂⁵	1	1	yes	characteristic
510	C₂²×D₄₃	—	2	2	no	—
511	C₂²×D₄₃	—	2	2	no	—
512	C₂²×D₄₃	—	2	2	no	—
513	C₂²×D₄₃	—	2	2	no	—
514	C₂²×D₄₃	—	2	8	no	—
515	C₂²×D₄₃	—	2	8	no	—
516	C₂²×D₄₃	—	4	4	no	—
517	C₂²×D₄₃	—	4	16	no	—
518	C₂²×D₄₃	C₂×#41	1	4	yes	—
519	C₂²×D₄₃	2₋¹⁺⁴	1	4	yes	—
520	C₂²×D₄₃	C₂⁵	1	2	yes	—
521	C₂²×D₄₃	C₂⁵	1	2	yes	—
522	Q₈×C₄₃	—	2	8	no	—
523	Q₈×C₄₃	—	4	8	no	—
524	D₄×C₄₃	—	2	8	no	—
525	D₄×C₄₃	—	4	8	no	—
526	C₂×C₄×C₄₃	—	2	4	no	—
527	C₂×C₄×C₄₃	—	2	2	no	—
528	C₂×C₄×C₄₃	—	2	2	no	—
529	C₂×C₄×C₄₃	—	2	2	no	—
530	C₂×C₄×C₄₃	—	2	4	no	—
531	C₂×C₄×C₄₃	—	2	2	no	—
532	C₂×C₄×C₄₃	—	2	4	no	—
533	C₂×C₄×C₄₃	—	2	2	no	—
534	C₂×C₄×C₄₃	—	2	8	no	—
535	C₂×C₄×C₄₃	—	4	8	no	—
536	C₂×C₄×C₄₃	C₂×#41	1	4	yes	—
537	C₂×C₄×C₄₃	C₂⁵	1	2	yes	—
538	C₂×C₄×C₄₃	C₂⁵	1	2	yes	—
539	C₂×C₄×C₄₃	C₂⁵	1	4	yes	—
540	C₂×C₄×C₄₃	C₂⁵	1	2	yes	—
541	C₂×C₄×C₄₃	C₂⁵	1	2	yes	—
542	C₂×C₄×C₄₃	C₂⁵	1	4	yes	—
543	C₂×C₄×C₄₃	C₂⁵	1	4	yes	—
544	C₂×C₄×C₄₃	C₂⁵	1	2	yes	—
545	C₂×C₄×C₄₃	C₂⁵	1	2	yes	—
546	C₂²⋊D₄₃	—	2	16	no	—
547	C₂²⋊D₄₃	—	2	16	no	—
548	C₂×Dic₄₃	—	2	4	no	—
549	C₂×Dic₄₃	—	2	4	no	—
550	C₂×Dic₄₃	—	2	2	no	—
551	C₂×Dic₄₃	—	2	2	no	—
552	C₂×Dic₄₃	—	2	2	no	—
553	C₂×Dic₄₃	—	2	4	no	—
554	C₂×Dic₄₃	—	2	2	no	—
555	C₂×Dic₄₃	—	2	4	no	—
556	C₂×Dic₄₃	—	2	2	no	—
557	C₂×Dic₄₃	—	2	8	no	—
558	C₂×Dic₄₃	—	2	16	no	—
559	C₂×Dic₄₃	—	4	8	no	—
560	C₂×Dic₄₃	C₂×#41	1	4	yes	—
561	C₂×Dic₄₃	C₂⁵	1	2	yes	—
562	C₂×Dic₄₃	C₂⁵	1	2	yes	—
563	C₂×Dic₄₃	C₂⁵	1	2	yes	—
564	C₂×Dic₄₃	C₂⁵	1	4	yes	—
565	C₂×Dic₄₃	C₂⁵	1	2	yes	—
566	C₂×Dic₄₃	C₂⁵	1	4	yes	—
567	C₂×Dic₄₃	C₂⁵	1	2	yes	—
568	C₂×Dic₄₃	C₂⁵	1	4	yes	—
569	C₂×Dic₄₃	C₂⁵	1	4	yes	—
570	C₂×Dic₄₃	C₂⁵	1	2	yes	—
571	C₄×D₄₃	—	2	8	no	—
572	C₄×D₄₃	—	2	16	no	—
573	C₄×D₄₃	—	2	8	no	—
574	C₄×D₄₃	—	2	8	no	—
575	C₄×D₄₃	—	2	8	no	—
576	C₄×D₄₃	—	2	8	no	—
577	C₄×D₄₃	—	4	4	no	—
578	C₄×D₄₃	—	4	8	no	—
579	C₄×D₄₃	—	4	4	no	—
580	C₄×D₄₃	C₂×#41	1	16	yes	—
581	Dic₈₆	—	2	8	no	—
582	Dic₈₆	—	2	8	no	—
583	Dic₈₆	—	2	16	no	—
584	Dic₈₆	—	4	8	no	—
585	C₂×#3495	—	43	1	no	maximal, Sylow
586	C₂²×C₄₃	—	2	2	no	—
587	C₂²×C₄₃	—	2	4	no	—
588	C₂²×C₄₃	—	2	2	no	—
589	C₂²×C₄₃	—	2	4	no	—
590	C₂²×C₄₃	—	2	2	no	—
591	C₂²×C₄₃	—	2	4	no	—
592	C₂²×C₄₃	—	4	4	no	—
593	C₂²×C₄₃	—	4	8	no	—
594	C₂²×C₄₃	C₂²×#41	1	2	yes	—
595	C₂²×C₄₃	C₂×2₋¹⁺⁴	1	2	yes	—
596	C₂²×C₄₃	#585	1	2	yes	—
597	C₂²×C₄₃	C₂⁶	1	1	yes	characteristic
598	C₂×D₄₃	—	2	2	no	—
599	C₂×D₄₃	—	2	2	no	—
600	C₂×D₄₃	—	2	2	no	—
601	C₂×D₄₃	—	2	2	no	—
602	C₂×D₄₃	—	2	8	no	—
603	C₂×D₄₃	—	2	8	no	—
604	C₂×D₄₃	—	4	16	no	—
605	C₂×D₄₃	C₂²×#41	1	4	yes	—
606	C₂×D₄₃	C₂×2₋¹⁺⁴	1	4	yes	—
607	C₄×C₄₃	—	2	4	no	—
608	C₄×C₄₃	—	2	2	no	—
609	C₄×C₄₃	—	2	2	no	—
610	C₄×C₄₃	—	2	2	no	—
611	C₄×C₄₃	—	2	4	no	—
612	C₄×C₄₃	—	2	2	no	—
613	C₄×C₄₃	—	2	4	no	—
614	C₄×C₄₃	—	2	2	no	—
615	C₄×C₄₃	C₂²×#41	1	4	yes	—
616	Dic₄₃	—	2	4	no	—
617	Dic₄₃	—	2	4	no	—
618	Dic₄₃	—	2	2	no	—
619	Dic₄₃	—	2	2	no	—
620	Dic₄₃	—	2	2	no	—
621	Dic₄₃	—	2	4	no	—
622	Dic₄₃	—	2	2	no	—
623	Dic₄₃	—	2	4	no	—
624	Dic₄₃	—	2	2	no	—
625	Dic₄₃	C₂²×#41	1	4	yes	—
626	#3495	—	43	32	no	—
627	C₂×#556	—	43	2	no	—
628	C₂×#554	—	43	2	no	—
629	C₂×#552	—	43	2	no	—
630	C₂×#552	—	43	2	no	—
631	C₂×#552	—	43	2	no	—
632	C₂×#552	—	43	2	no	—
633	C₂×#551	—	43	2	no	—
634	C₂×#551	—	43	2	no	—
635	C₂×#544	—	43	1	no	—
636	C₂×#542	—	43	1	no	—
637	C₂×#542	D₄₃	1	1	yes	characteristic, complemented
638	C₂×#541	—	43	1	no	—
639	C₂×#541	—	43	1	no	—
640	C₂×#536	—	43	1	no	—
641	C₂×#533	—	43	1	no	—
642	C₂×#533	—	43	1	no	—
643	C₂×#529	—	43	1	no	—
644	C₂×#529	—	43	1	no	—
645	C₂×#525	—	43	1	no	—
646	C₂²×C₂²⋊Q₈	—	43	1	no	—
647	C₂×#520	—	43	1	no	—
648	C₂×#519	—	43	1	no	—
649	C₂²×#117	—	43	1	no	—
650	C₂×C₄₃	—	4	2	no	—
651	C₂×C₄₃	—	4	4	no	—
652	C₂×C₄₃	#3495	1	4	yes	complemented
653	C₂×C₄₃	C₂³×#41	1	1	yes	characteristic
654	C₂×C₄₃	C₂²×2₋¹⁺⁴	1	1	yes	characteristic
655	C₂×C₄₃	C₂×#585	1	1	yes	characteristic
656	D₄₃	—	2	4	no	—
657	D₄₃	—	2	4	no	—
658	C₂²×#41	—	43	1	no	—
659	C₂³×Q₈	—	43	1	no	—
660	C₂⁴×C₄	—	43	1	no	—
661	#556	—	43	32	no	—
662	#554	—	43	32	no	—
663	#552	—	43	32	no	—
664	#552	—	43	32	no	—
665	#552	—	43	32	no	—
666	#552	—	43	32	no	—
667	#551	—	43	32	no	—
668	#551	—	43	32	no	—
669	#544	—	43	16	no	—
670	#542	—	43	16	no	—
671	#542	C₂×D₄₃	1	16	yes	complemented
672	#541	—	43	16	no	—
673	#541	—	43	16	no	—
674	#536	—	43	16	no	—
675	#533	—	43	16	no	—
676	#533	—	43	16	no	—
677	C₂×C₄⋊Q₈	—	43	1	no	—
678	C₂×C₄⋊Q₈	—	43	2	no	—
679	C₂×C₄⋊Q₈	—	43	1	no	—
680	C₂×C₄⋊Q₈	—	43	1	no	—
681	C₂×C₄⋊Q₈	C₂×D₄₃	1	1	yes	characteristic, complemented
682	#529	—	43	16	no	—
683	#529	—	43	16	no	—
684	C₂×#126	—	43	2	no	—
685	C₂×#126	—	43	2	no	—
686	C₂×#126	—	43	2	no	—
687	C₂×#126	—	43	2	no	—
688	C₂×#126	—	43	2	no	—
689	C₂×#126	—	43	2	no	—
690	C₂×#126	—	43	2	no	—
691	C₂×#126	C₂×D₄₃	1	2	yes	complemented
692	C₂×#125	—	43	1	no	—
693	C₂×#125	—	43	2	no	—
694	C₂×#125	—	43	2	no	—
695	C₂×#125	—	43	2	no	—
696	C₂×#125	—	43	2	no	—
697	C₂×#125	—	43	2	no	—
698	C₂×#125	—	43	2	no	—
699	C₂×#125	—	43	2	no	—
700	C₂×#125	—	43	1	no	—
701	C₂×#124	—	43	1	no	—
702	C₂×#124	—	43	2	no	—
703	C₂×#124	C₂×D₄₃	1	2	yes	—
704	C₂×#124	C₂×D₄₃	1	1	yes	characteristic, complemented
705	#525	—	43	16	no	—
706	C₂×#123	—	43	2	no	—
707	C₂×#123	—	43	2	no	—
708	C₂×#123	—	43	2	no	—
709	C₂×#123	—	43	2	no	—
710	C₂×#123	—	43	2	no	—
711	C₂×#123	—	43	2	no	—
712	C₂×#123	C₂×D₄₃	1	2	yes	—
713	C₂×C₂²⋊Q₈	—	43	1	no	—
714	C₂×C₂²⋊Q₈	—	43	2	no	—
715	C₂×C₂²⋊Q₈	—	43	2	no	—
716	C₂×C₂²⋊Q₈	—	43	1	no	—
717	C₂×C₂²⋊Q₈	—	43	1	no	—
718	C₂×C₂²⋊Q₈	—	43	16	no	—
719	C₂×C₂²⋊Q₈	—	43	2	no	—
720	C₂×C₂²⋊Q₈	—	43	2	no	—
721	C₂×C₂²⋊Q₈	—	43	2	no	—
722	C₂×C₂²⋊Q₈	—	43	1	no	—
723	C₂×C₂²⋊Q₈	—	43	1	no	—
724	C₂×C₂²⋊Q₈	—	43	2	no	—
725	C₂×C₂²⋊Q₈	—	43	2	no	—
726	C₂×C₂²⋊Q₈	—	43	2	no	—
727	C₂×C₂²⋊Q₈	—	43	2	no	—
728	C₂×C₂²⋊Q₈	C₂×D₄₃	1	1	yes	characteristic
729	C₂×C₂²⋊Q₈	C₂×D₄₃	1	2	yes	complemented
730	C₂×#121	—	43	1	no	—
731	C₂×#121	C₂×D₄₃	1	1	yes	characteristic
732	C₂×#120	—	43	2	no	—
733	#520	—	43	16	no	—
734	#519	—	43	16	no	—
735	C₂×C₄×Q₈	—	43	1	no	—
736	C₂×C₄×Q₈	—	43	2	no	—
737	C₂×C₄×Q₈	—	43	1	no	—
738	C₂×C₄×Q₈	—	43	2	no	—
739	C₂×C₄×Q₈	—	43	1	no	—
740	C₂×C₄×Q₈	—	43	1	no	—
741	C₂×C₄×Q₈	—	43	2	no	—
742	C₂×C₄×Q₈	—	43	1	no	—
743	C₂×C₄×Q₈	—	43	2	no	—
744	C₂×C₄×Q₈	C₂×D₄₃	1	1	yes	characteristic, complemented
745	C₂×C₄×D₄	—	43	2	no	—
746	C₂×C₄×D₄	—	43	1	no	—
747	C₂×C₄×D₄	—	43	2	no	—
748	C₂×C₄×D₄	—	43	2	no	—
749	C₂×C₄×D₄	—	43	2	no	—
750	C₂×C₄×D₄	—	43	2	no	—
751	C₂×C₄×D₄	—	43	2	no	—
752	C₂×C₄×D₄	C₂×D₄₃	1	1	yes	characteristic, complemented
753	C₂×#117	—	43	1	no	—
754	C₂×#117	—	43	2	no	—
755	C₂×#117	—	43	16	no	—
756	C₂×#117	—	43	1	no	—
757	C₂×#117	—	43	1	no	—
758	C₂×#117	—	43	1	no	—
759	C₂×#117	—	43	2	no	—
760	C₂×#117	—	43	2	no	—
761	C₂×#117	—	43	1	no	—
762	C₂×#117	—	43	1	no	—
763	C₂×#117	—	43	2	no	—
764	C₂×#117	—	43	2	no	—
765	C₂×#117	—	43	1	no	—
766	C₂×#117	—	43	1	no	—
767	C₂×#117	—	43	2	no	—
768	C₂×#117	—	43	2	no	—
769	C₂×#117	C₂×D₄₃	1	1	yes	characteristic
770	C₂²×C₄⋊C₄	—	43	2	no	—
771	C₂²×C₄⋊C₄	—	43	1	no	—
772	C₂²×C₄⋊C₄	—	43	1	no	—
773	C₂²×C₄⋊C₄	—	43	1	no	—
774	C₂²×C₄⋊C₄	—	43	2	no	—
775	C₂²×C₂²⋊C₄	—	43	1	no	—
776	C₂²×C₂²⋊C₄	—	43	1	no	—
777	C₂²×C₂²⋊C₄	—	43	2	no	—
778	C₂²×C₄²	—	43	1	no	—
779	C₂²×C₄²	—	43	1	no	—
780	C₄₃	C₂×#3495	1	1	yes	characteristic, complemented, Sylow
781	C₂⁵	—	43	1	no	—
782	C₂×#41	—	43	8	no	—
783	C₂×#41	—	86	8	no	—
784	C₂²×Q₈	—	43	8	no	—
785	C₂²×Q₈	—	43	2	no	—
786	C₂²×Q₈	—	43	1	no	—
787	C₂²×Q₈	—	43	1	no	—
788	C₂²×Q₈	—	43	2	no	—
789	C₂²×Q₈	—	86	8	no	—
790	C₂²×Q₈	C₂²×D₄₃	1	1	yes	characteristic
791	C₂²×Q₈	C₂²×D₄₃	1	2	yes	—
792	C₂²×D₄	—	43	2	no	—
793	C₂²×D₄	—	43	2	no	—
794	C₂²×D₄	C₂²×D₄₃	1	1	yes	characteristic
795	C₂²×D₄	C₂²×D₄₃	1	2	yes	—
796	C₂³×C₄	—	43	1	no	—
797	C₂³×C₄	—	43	2	no	—
798	C₂³×C₄	—	43	1	no	—
799	C₂³×C₄	—	43	2	no	—
800	C₂³×C₄	—	43	2	no	—
801	C₂³×C₄	—	43	1	no	—
802	C₂³×C₄	—	43	1	no	—
803	C₂³×C₄	—	43	1	no	—
804	C₂³×C₄	—	43	1	no	—
805	C₂³×C₄	—	43	8	no	—
806	C₂³×C₄	—	43	1	no	—
807	C₂³×C₄	—	43	2	no	—
808	C₂³×C₄	—	43	1	no	—
809	C₂³×C₄	—	43	1	no	—
810	C₂³×C₄	—	86	8	no	—
811	C₂³×C₄	C₂²×D₄₃	1	1	yes	characteristic
812	C₂³×C₄	C₂²×D₄₃	1	2	yes	—
813	C₄⋊Q₈	—	43	8	no	—
814	C₄⋊Q₈	—	43	16	no	—
815	C₄⋊Q₈	—	43	8	no	—
816	C₄⋊Q₈	—	43	8	no	—
817	C₄⋊Q₈	C₂²×D₄₃	1	8	yes	complemented
818	#126	—	43	16	no	—
819	#126	—	43	16	no	—
820	#126	—	43	16	no	—
821	#126	—	43	16	no	—
822	#126	—	43	16	no	—
823	#126	—	43	16	no	—
824	#126	—	43	16	no	—
825	#126	C₂²×D₄₃	1	16	yes	complemented
826	#125	—	43	8	no	—
827	#125	—	43	16	no	—
828	#125	—	43	16	no	—
829	#125	—	43	16	no	—
830	#125	—	43	16	no	—
831	#125	—	43	16	no	—
832	#125	—	43	16	no	—
833	#125	—	43	16	no	—
834	#125	—	43	8	no	—
835	#124	—	43	8	no	—
836	#124	—	43	16	no	—
837	#124	C₂²×D₄₃	1	16	yes	—
838	#124	C₂²×D₄₃	1	8	yes	complemented
839	#123	—	43	16	no	—
840	#123	—	43	16	no	—
841	#123	—	43	16	no	—
842	#123	—	43	16	no	—
843	#123	—	43	16	no	—
844	#123	—	43	16	no	—
845	#123	C₂²×D₄₃	1	16	yes	—
846	C₂²⋊Q₈	—	43	8	no	—
847	C₂²⋊Q₈	—	43	16	no	—
848	C₂²⋊Q₈	—	43	16	no	—
849	C₂²⋊Q₈	—	43	8	no	—
850	C₂²⋊Q₈	—	43	8	no	—
851	C₂²⋊Q₈	—	43	8	no	—
852	C₂²⋊Q₈	—	43	16	no	—
853	C₂²⋊Q₈	—	43	8	no	—
854	C₂²⋊Q₈	—	43	16	no	—
855	C₂²⋊Q₈	—	43	16	no	—
856	C₂²⋊Q₈	—	43	16	no	—
857	C₂²⋊Q₈	—	43	16	no	—
858	C₂²⋊Q₈	—	43	16	no	—
859	C₂²⋊Q₈	—	43	16	no	—
860	C₂²⋊Q₈	C₂²×D₄₃	1	8	yes	—
861	C₂²⋊Q₈	C₂²×D₄₃	1	16	yes	complemented
862	#121	—	43	8	no	—
863	#121	C₂²×D₄₃	1	8	yes	—
864	#120	—	43	16	no	—
865	C₄×Q₈	—	43	8	no	—
866	C₄×Q₈	—	43	16	no	—
867	C₄×Q₈	—	43	8	no	—
868	C₄×Q₈	—	43	16	no	—
869	C₄×Q₈	—	43	8	no	—
870	C₄×Q₈	—	43	8	no	—
871	C₄×Q₈	—	43	16	no	—
872	C₄×Q₈	—	43	8	no	—
873	C₄×Q₈	—	43	16	no	—
874	C₄×Q₈	C₂²×D₄₃	1	8	yes	complemented
875	C₄×D₄	—	43	8	no	—
876	C₄×D₄	—	43	16	no	—
877	C₄×D₄	—	43	16	no	—
878	C₄×D₄	—	43	16	no	—
879	C₄×D₄	—	43	16	no	—
880	C₄×D₄	—	43	16	no	—
881	C₄×D₄	—	43	16	no	—
882	C₄×D₄	C₂²×D₄₃	1	8	yes	complemented
883	#117	—	43	8	no	—
884	#117	—	43	16	no	—
885	#117	—	43	8	no	—
886	#117	—	43	8	no	—
887	#117	—	43	8	no	—
888	#117	—	43	16	no	—
889	#117	—	43	16	no	—
890	#117	—	43	8	no	—
891	#117	—	43	8	no	—
892	#117	—	43	16	no	—
893	#117	—	43	16	no	—
894	#117	—	43	8	no	—
895	#117	—	43	8	no	—
896	#117	—	43	16	no	—
897	#117	—	43	16	no	—
898	#117	C₂²×D₄₃	1	8	yes	—
899	C₂×C₄⋊C₄	—	43	1	no	—
900	C₂×C₄⋊C₄	—	43	2	no	—
901	C₂×C₄⋊C₄	—	43	1	no	—
902	C₂×C₄⋊C₄	—	43	1	no	—
903	C₂×C₄⋊C₄	—	43	1	no	—
904	C₂×C₄⋊C₄	—	43	1	no	—
905	C₂×C₄⋊C₄	—	43	1	no	—
906	C₂×C₄⋊C₄	—	43	2	no	—
907	C₂×C₄⋊C₄	—	43	2	no	—
908	C₂×C₄⋊C₄	—	43	1	no	—
909	C₂×C₄⋊C₄	—	43	2	no	—
910	C₂×C₄⋊C₄	—	43	2	no	—
911	C₂×C₄⋊C₄	—	43	16	no	—
912	C₂×C₄⋊C₄	—	43	2	no	—
913	C₂×C₄⋊C₄	—	43	1	no	—
914	C₂×C₄⋊C₄	—	43	2	no	—
915	C₂×C₄⋊C₄	—	43	2	no	—
916	C₂×C₄⋊C₄	—	43	2	no	—
917	C₂×C₄⋊C₄	—	43	2	no	—
918	C₂×C₄⋊C₄	—	43	2	no	—
919	C₂×C₄⋊C₄	—	43	2	no	—
920	C₂×C₄⋊C₄	—	43	2	no	—
921	C₂×C₄⋊C₄	—	43	2	no	—
922	C₂×C₄⋊C₄	—	43	2	no	—
923	C₂×C₄⋊C₄	—	43	2	no	—
924	C₂×C₄⋊C₄	—	43	2	no	—
925	C₂×C₄⋊C₄	—	43	2	no	—
926	C₂×C₄⋊C₄	—	43	2	no	—
927	C₂×C₄⋊C₄	—	43	2	no	—
928	C₂×C₄⋊C₄	—	43	8	no	—
929	C₂×C₄⋊C₄	—	43	8	no	—
930	C₂×C₄⋊C₄	—	43	8	no	—
931	C₂×C₄⋊C₄	—	43	16	no	—
932	C₂×C₄⋊C₄	C₂²×D₄₃	1	1	yes	characteristic
933	C₂×C₄⋊C₄	C₂²×D₄₃	1	1	yes	characteristic
934	C₂×C₄⋊C₄	C₂²×D₄₃	1	1	yes	characteristic
935	C₂×C₄⋊C₄	C₂²×D₄₃	1	2	yes	—
936	C₂×C₄⋊C₄	C₂²×D₄₃	1	1	yes	characteristic
937	C₂×C₄⋊C₄	C₂²×D₄₃	1	2	yes	—
938	C₂×C₄⋊C₄	C₂²×D₄₃	1	2	yes	—
939	C₂×C₂²⋊C₄	—	43	1	no	—
940	C₂×C₂²⋊C₄	—	43	1	no	—
941	C₂×C₂²⋊C₄	—	43	2	no	—
942	C₂×C₂²⋊C₄	—	43	2	no	—
943	C₂×C₂²⋊C₄	—	43	2	no	—
944	C₂×C₂²⋊C₄	—	43	2	no	—
945	C₂×C₂²⋊C₄	—	43	2	no	—
946	C₂×C₂²⋊C₄	—	43	2	no	—
947	C₂×C₂²⋊C₄	—	43	1	no	—
948	C₂×C₂²⋊C₄	—	43	1	no	—
949	C₂×C₂²⋊C₄	—	43	1	no	—
950	C₂×C₂²⋊C₄	—	43	1	no	—
951	C₂×C₂²⋊C₄	—	43	2	no	—
952	C₂×C₂²⋊C₄	—	43	2	no	—
953	C₂×C₂²⋊C₄	—	43	2	no	—
954	C₂×C₂²⋊C₄	—	43	2	no	—
955	C₂×C₂²⋊C₄	—	43	8	no	—
956	C₂×C₂²⋊C₄	—	43	8	no	—
957	C₂×C₂²⋊C₄	—	43	16	no	—
958	C₂×C₂²⋊C₄	C₂²×D₄₃	1	1	yes	characteristic
959	C₂×C₂²⋊C₄	C₂²×D₄₃	1	1	yes	characteristic
960	C₂×C₂²⋊C₄	C₂²×D₄₃	1	2	yes	—
961	C₂×C₂²⋊C₄	C₂²×D₄₃	1	2	yes	—
962	C₂×C₂²⋊C₄	C₂²×D₄₃	1	2	yes	—
963	C₂×C₂²⋊C₄	C₂²×D₄₃	1	2	yes	—
964	C₂×C₂²⋊C₄	C₂²×D₄₃	1	2	yes	—
965	C₂×C₄²	—	43	1	no	—
966	C₂×C₄²	—	43	1	no	—
967	C₂×C₄²	—	43	1	no	—
968	C₂×C₄²	—	43	2	no	—
969	C₂×C₄²	—	43	2	no	—
970	C₂×C₄²	—	43	2	no	—
971	C₂×C₄²	—	43	2	no	—
972	C₂×C₄²	—	43	2	no	—
973	C₂×C₄²	—	43	1	no	—
974	C₂×C₄²	—	43	1	no	—
975	C₂×C₄²	—	43	1	no	—
976	C₂×C₄²	—	43	2	no	—
977	C₂×C₄²	—	43	8	no	—
978	C₂×C₄²	—	43	8	no	—
979	C₂×C₄²	C₂²×D₄₃	1	2	yes	—
980	C₂×C₄²	C₂²×D₄₃	1	1	yes	characteristic
981	C₂×C₄²	C₂²×D₄₃	1	1	yes	characteristic
982	C₂⁴	—	43	1	no	—
983	C₂⁴	—	43	1	no	—
984	C₂⁴	—	43	4	no	—
985	C₂⁴	—	86	4	no	—
986	C₂⁴	—	86	4	no	—
987	C₂⁴	—	172	2	no	—
988	C₂⁴	C₂³×D₄₃	1	1	yes	characteristic
989	C₂⁴	C₂³×D₄₃	1	2	yes	—
990	#41	—	86	32	no	—
991	C₂×Q₈	—	2	4	no	—
992	C₂×Q₈	—	4	4	no	—
993	C₂×Q₈	—	43	8	no	—
994	C₂×Q₈	—	43	4	no	—
995	C₂×Q₈	—	43	4	no	—
996	C₂×Q₈	—	43	8	no	—
997	C₂×Q₈	—	86	8	no	—
998	C₂×Q₈	—	86	32	no	—
999	C₂×Q₈	—	86	4	no	—
1000	C₂×Q₈	—	86	4	no	—
1001	C₂×Q₈	—	172	4	no	—
1002	C₂×Q₈	C₂³×D₄₃	1	4	yes	—
1003	C₂×Q₈	C₂³×D₄₃	1	8	yes	—
1004	C₂×D₄	—	2	4	no	—
1005	C₂×D₄	—	4	4	no	—
1006	C₂×D₄	—	43	8	no	—
1007	C₂×D₄	—	43	8	no	—
1008	C₂×D₄	—	86	8	no	—
1009	C₂×D₄	—	86	8	no	—
1010	C₂×D₄	C₂³×D₄₃	1	4	yes	—
1011	C₂×D₄	C₂³×D₄₃	1	8	yes	—
1012	C₂²×C₄	—	2	4	no	—
1013	C₂²×C₄	—	4	4	no	—
1014	C₂²×C₄	—	43	1	no	—
1015	C₂²×C₄	—	43	8	no	—
1016	C₂²×C₄	—	43	4	no	—
1017	C₂²×C₄	—	43	8	no	—
1018	C₂²×C₄	—	43	4	no	—
1019	C₂²×C₄	—	43	1	no	—
1020	C₂²×C₄	—	43	1	no	—
1021	C₂²×C₄	—	43	1	no	—
1022	C₂²×C₄	—	43	2	no	—
1023	C₂²×C₄	—	43	1	no	—
1024	C₂²×C₄	—	43	2	no	—
1025	C₂²×C₄	—	43	1	no	—
1026	C₂²×C₄	—	43	2	no	—
1027	C₂²×C₄	—	43	2	no	—
1028	C₂²×C₄	—	43	8	no	—
1029	C₂²×C₄	—	43	4	no	—
1030	C₂²×C₄	—	43	4	no	—
1031	C₂²×C₄	—	43	4	no	—
1032	C₂²×C₄	—	43	8	no	—
1033	C₂²×C₄	—	43	4	no	—
1034	C₂²×C₄	—	43	4	no	—
1035	C₂²×C₄	—	43	4	no	—
1036	C₂²×C₄	—	43	4	no	—
1037	C₂²×C₄	—	43	8	no	—
1038	C₂²×C₄	—	86	4	no	—
1039	C₂²×C₄	—	86	32	no	—
1040	C₂²×C₄	—	86	4	no	—
1041	C₂²×C₄	—	86	8	no	—
1042	C₂²×C₄	—	86	4	no	—
1043	C₂²×C₄	—	86	4	no	—
1044	C₂²×C₄	—	86	4	no	—
1045	C₂²×C₄	—	86	8	no	—
1046	C₂²×C₄	—	86	4	no	—
1047	C₂²×C₄	—	172	2	no	—
1048	C₂²×C₄	—	172	4	no	—
1049	C₂²×C₄	—	172	2	no	—
1050	C₂²×C₄	—	172	4	no	—
1051	C₂²×C₄	C₂³×D₄₃	1	4	yes	—
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	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
1057	C₂²×C₄	C₂³×D₄₃	1	2	yes	—
1058	C₂²×C₄	C₂³×D₄₃	1	2	yes	—
1059	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
1060	C₂²×C₄	C₂³×D₄₃	1	8	yes	—
1061	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
1062	C₄⋊C₄	—	43	4	no	—
1063	C₄⋊C₄	—	43	8	no	—
1064	C₄⋊C₄	—	43	4	no	—
1065	C₄⋊C₄	—	43	4	no	—
1066	C₄⋊C₄	—	43	4	no	—
1067	C₄⋊C₄	—	43	4	no	—
1068	C₄⋊C₄	—	43	4	no	—
1069	C₄⋊C₄	—	43	8	no	—
1070	C₄⋊C₄	—	43	8	no	—
1071	C₄⋊C₄	—	43	4	no	—
1072	C₄⋊C₄	—	43	8	no	—
1073	C₄⋊C₄	—	43	8	no	—
1074	C₄⋊C₄	—	43	8	no	—
1075	C₄⋊C₄	—	43	4	no	—
1076	C₄⋊C₄	—	43	8	no	—
1077	C₄⋊C₄	—	43	8	no	—
1078	C₄⋊C₄	—	43	8	no	—
1079	C₄⋊C₄	—	43	8	no	—
1080	C₄⋊C₄	—	43	8	no	—
1081	C₄⋊C₄	—	43	8	no	—
1082	C₄⋊C₄	—	43	8	no	—
1083	C₄⋊C₄	—	43	8	no	—
1084	C₄⋊C₄	—	43	8	no	—
1085	C₄⋊C₄	—	43	8	no	—
1086	C₄⋊C₄	—	43	8	no	—
1087	C₄⋊C₄	—	43	8	no	—
1088	C₄⋊C₄	—	43	8	no	—
1089	C₄⋊C₄	—	43	8	no	—
1090	C₄⋊C₄	C₂³×D₄₃	1	4	yes	—
1091	C₄⋊C₄	C₂³×D₄₃	1	4	yes	—
1092	C₄⋊C₄	C₂³×D₄₃	1	4	yes	—
1093	C₄⋊C₄	C₂³×D₄₃	1	8	yes	—
1094	C₄⋊C₄	C₂³×D₄₃	1	4	yes	—
1095	C₄⋊C₄	C₂³×D₄₃	1	8	yes	—
1096	C₄⋊C₄	C₂³×D₄₃	1	8	yes	—
1097	C₂²⋊C₄	—	43	4	no	—
1098	C₂²⋊C₄	—	43	4	no	—
1099	C₂²⋊C₄	—	43	8	no	—
1100	C₂²⋊C₄	—	43	8	no	—
1101	C₂²⋊C₄	—	43	8	no	—
1102	C₂²⋊C₄	—	43	8	no	—
1103	C₂²⋊C₄	—	43	8	no	—
1104	C₂²⋊C₄	—	43	8	no	—
1105	C₂²⋊C₄	—	43	4	no	—
1106	C₂²⋊C₄	—	43	4	no	—
1107	C₂²⋊C₄	—	43	4	no	—
1108	C₂²⋊C₄	—	43	4	no	—
1109	C₂²⋊C₄	—	43	8	no	—
1110	C₂²⋊C₄	—	43	8	no	—
1111	C₂²⋊C₄	—	43	8	no	—
1112	C₂²⋊C₄	—	43	8	no	—
1113	C₂²⋊C₄	C₂³×D₄₃	1	4	yes	—
1114	C₂²⋊C₄	C₂³×D₄₃	1	4	yes	—
1115	C₂²⋊C₄	C₂³×D₄₃	1	8	yes	—
1116	C₂²⋊C₄	C₂³×D₄₃	1	8	yes	—
1117	C₂²⋊C₄	C₂³×D₄₃	1	8	yes	—
1118	C₂²⋊C₄	C₂³×D₄₃	1	8	yes	—
1119	C₂²⋊C₄	C₂³×D₄₃	1	8	yes	—
1120	C₄²	—	43	4	no	—
1121	C₄²	—	43	4	no	—
1122	C₄²	—	43	4	no	—
1123	C₄²	—	43	4	no	—
1124	C₄²	—	43	4	no	—
1125	C₄²	—	43	4	no	—
1126	C₄²	—	43	8	no	—
1127	C₄²	—	43	8	no	—
1128	C₄²	—	43	8	no	—
1129	C₄²	—	43	8	no	—
1130	C₄²	—	43	8	no	—
1131	C₄²	—	43	8	no	—
1132	C₄²	C₂³×D₄₃	1	4	yes	—
1133	C₄²	C₂³×D₄₃	1	4	yes	—
1134	C₄²	C₂³×D₄₃	1	8	yes	—
1135	C₂³	—	2	2	no	—
1136	C₂³	—	2	4	no	—
1137	C₂³	—	2	4	no	—
1138	C₂³	—	2	2	no	—
1139	C₂³	—	2	4	no	—
1140	C₂³	—	2	2	no	—
1141	C₂³	—	43	4	no	—
1142	C₂³	—	43	4	no	—
1143	C₂³	—	43	2	no	—
1144	C₂³	—	43	2	no	—
1145	C₂³	—	86	8	no	—
1146	C₂³	—	86	8	no	—
1147	C₂³	—	86	2	no	—
1148	C₂³	—	86	2	no	—
1149	C₂³	—	86	2	no	—
1150	C₂³	—	86	2	no	—
1151	C₂³	—	172	4	no	—
1152	C₂³	—	172	16	no	—
1153	C₂³	C₂⁴×D₄₃	1	2	yes	—
1154	C₂³	C₂⁴×D₄₃	1	4	yes	—
1155	C₂³	C₂⁴×D₄₃	1	1	yes	characteristic
1156	Q₈	—	2	8	no	—
1157	Q₈	—	4	8	no	—
1158	Q₈	—	86	16	no	—
1159	Q₈	—	86	8	no	—
1160	Q₈	—	86	8	no	—
1161	Q₈	—	172	8	no	—
1162	D₄	—	2	8	no	—
1163	D₄	—	4	8	no	—
1164	D₄	—	86	16	no	—
1165	D₄	—	86	16	no	—
1166	C₂×C₄	—	2	2	no	—
1167	C₂×C₄	—	2	4	no	—
1168	C₂×C₄	—	2	2	no	—
1169	C₂×C₄	—	2	2	no	—
1170	C₂×C₄	—	2	2	no	—
1171	C₂×C₄	—	2	4	no	—
1172	C₂×C₄	—	2	2	no	—
1173	C₂×C₄	—	2	4	no	—
1174	C₂×C₄	—	2	8	no	—
1175	C₂×C₄	—	4	8	no	—
1176	C₂×C₄	—	43	4	no	—
1177	C₂×C₄	—	43	2	no	—
1178	C₂×C₄	—	43	16	no	—
1179	C₂×C₄	—	43	2	no	—
1180	C₂×C₄	—	43	2	no	—
1181	C₂×C₄	—	43	2	no	—
1182	C₂×C₄	—	43	4	no	—
1183	C₂×C₄	—	43	2	no	—
1184	C₂×C₄	—	43	4	no	—
1185	C₂×C₄	—	43	2	no	—
1186	C₂×C₄	—	43	4	no	—
1187	C₂×C₄	—	43	4	no	—
1188	C₂×C₄	—	86	8	no	—
1189	C₂×C₄	—	86	8	no	—
1190	C₂×C₄	—	86	16	no	—
1191	C₂×C₄	—	86	8	no	—
1192	C₂×C₄	—	86	8	no	—
1193	C₂×C₄	—	86	8	no	—
1194	C₂×C₄	—	86	16	no	—
1195	C₂×C₄	—	86	2	no	—
1196	C₂×C₄	—	86	4	no	—
1197	C₂×C₄	—	86	4	no	—
1198	C₂×C₄	—	86	2	no	—
1199	C₂×C₄	—	86	2	no	—
1200	C₂×C₄	—	86	4	no	—
1201	C₂×C₄	—	86	2	no	—
1202	C₂×C₄	—	86	4	no	—
1203	C₂×C₄	—	86	2	no	—
1204	C₂×C₄	—	86	8	no	—
1205	C₂×C₄	—	172	4	no	—
1206	C₂×C₄	—	172	8	no	—
1207	C₂×C₄	—	172	4	no	—
1208	C₂×C₄	—	172	8	no	—
1209	C₂×C₄	#41×D₄₃	1	4	yes	—
1210	C₂×C₄	C₂⁴×D₄₃	1	2	yes	—
1211	C₂×C₄	C₂⁴×D₄₃	1	2	yes	—
1212	C₂×C₄	C₂⁴×D₄₃	1	4	yes	—
1213	C₂×C₄	C₂⁴×D₄₃	1	2	yes	—
1214	C₂×C₄	C₂⁴×D₄₃	1	2	yes	—
1215	C₂×C₄	C₂⁴×D₄₃	1	4	yes	—
1216	C₂×C₄	C₂⁴×D₄₃	1	4	yes	—
1217	C₂×C₄	C₂⁴×D₄₃	1	2	yes	—
1218	C₂×C₄	C₂⁴×D₄₃	1	2	yes	—
1219	C₂²	—	2	2	no	—
1220	C₂²	—	2	4	no	—
1221	C₂²	—	2	4	no	—
1222	C₂²	—	2	2	no	—
1223	C₂²	—	2	4	no	—
1224	C₂²	—	2	2	no	—
1225	C₂²	—	4	4	no	—
1226	C₂²	—	4	8	no	—
1227	C₂²	—	43	4	no	—
1228	C₂²	—	43	4	no	—
1229	C₂²	—	86	8	no	—
1230	C₂²	—	86	8	no	—
1231	C₂²	—	86	2	no	—
1232	C₂²	—	86	2	no	—
1233	C₂²	—	86	2	no	—
1234	C₂²	—	86	2	no	—
1235	C₂²	—	172	16	no	—
1236	C₂²	C₂×#41×D₄₃	1	2	yes	—
1237	C₂²	2₋¹⁺⁴×D₄₃	1	2	yes	—
1238	C₂²	#14583734	1	2	yes	—
1239	C₂²	C₂⁵×D₄₃	1	1	yes	characteristic
1240	C₄	—	2	2	no	—
1241	C₄	—	2	4	no	—
1242	C₄	—	2	2	no	—
1243	C₄	—	2	2	no	—
1244	C₄	—	2	2	no	—
1245	C₄	—	2	4	no	—
1246	C₄	—	2	2	no	—
1247	C₄	—	2	4	no	—
1248	C₄	—	43	4	no	—
1249	C₄	—	86	2	no	—
1250	C₄	—	86	4	no	—
1251	C₄	—	86	4	no	—
1252	C₄	—	86	2	no	—
1253	C₄	—	86	2	no	—
1254	C₄	—	86	4	no	—
1255	C₄	—	86	2	no	—
1256	C₄	—	86	4	no	—
1257	C₄	—	86	2	no	—
1258	C₄	C₂×#41×D₄₃	1	4	yes	—
1259	C₂	—	4	2	no	—
1260	C₂	—	4	4	no	—
1261	C₂	—	86	4	no	—
1262	C₂	—	86	4	no	—
1263	C₂	#19148345	1	4	yes	direct product factor
1264	C₂	C₂²×#41×D₄₃	1	1	yes	characteristic
1265	C₂	C₂×2₋¹⁺⁴×D₄₃	1	1	yes	characteristic
1266	C₂	C₂×#14583734	1	1	yes	characteristic

	subgroup	G/H
center	C₂³	C₂⁴×D₄₃
commutator, cosocle	C₂²×C₄₃	C₂⁶
Frattini	C₂²	C₂⁵×D₄₃
Fitting	C₂×C₄₃×#542	C₂
socle	C₂³×C₄₃	C₂⁵
prime radical	C₂×#14583409	C₂
hypercenter	C₂×#542	D₄₃
hypocenter	C₄₃	C₂×#3495
LCS	G ▷ C₂²×C₄₃ ▷ C₄₃
UCS	C₁ ◁ C₂³ ◁ C₂×#542

Complements

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

N	H ≅ G/N	type
1. #19148345	C₂	direct (N × H)
2. C₂×#14583618	C₂	semidirect
3. C₂×#14583603	C₂	semidirect
4. C₂×#14583586	C₂	semidirect
5. C₂×#14583585	C₂	semidirect
6. C₂×#14583585	C₂	semidirect
7. C₂×#14583583	C₂	semidirect
8. C₂×#14583579	C₂	semidirect
9. C₂×#14583577	C₂	semidirect
10. C₂×#14583526	C₂	semidirect
11. C₂×#14583516	C₂	semidirect
12. C₂×#14583511	C₂	semidirect
13. C₂×#14583509	C₂	semidirect
14. C₂×#14583469	C₂	semidirect
15. C₂×#14583454	C₂	semidirect
16. C₂×#14583453	C₂	semidirect
17. C₂×#14583431	C₂	semidirect
18. C₂×#14583428	C₂	semidirect
20. C₂×C₂²⋊Q₈×D₄₃	C₂	semidirect
21. C₂×#14583378	C₂	semidirect
22. C₂×#14583375	C₂	semidirect
23. C₂×#117×D₄₃	C₂	semidirect
24. C₂×C₄₃×#542	C₂	semidirect
28. #14583618	C₂²	semidirect
29. #14583603	C₂²	semidirect
30. #14583586	C₂²	semidirect
31. #14583585	C₂²	semidirect
32. #14583585	C₂²	semidirect
33. #14583583	C₂²	semidirect
34. #14583579	C₂²	semidirect
35. #14583577	C₂²	semidirect
36. #14583526	C₂²	semidirect
37. #14583516	C₂²	semidirect
38. #14583511	C₂²	semidirect
39. #14583509	C₂²	semidirect
40. #14583469	C₂²	semidirect
41. #14583454	C₂²	semidirect
42. #14583453	C₂²	semidirect
43. C₂×#13063325	C₂²	semidirect
44. C₂×#13063324	C₂²	semidirect
45. C₂×#13063323	C₂²	semidirect
46. C₂×#13063323	C₂²	semidirect
47. #14583431	C₂²	semidirect
48. #14583428	C₂²	semidirect
53. C₂×#13063318	C₂²	semidirect
54. C₂×#13063318	C₂²	semidirect
55. C₂×#13063318	C₂²	semidirect
56. C₂×#13063317	C₂²	semidirect
57. C₂×#13063316	C₂²	semidirect
58. C₂×#13063316	C₂²	semidirect
59. C₂×#13063316	C₂²	semidirect
60. C₂×#13063315	C₂²	semidirect
61. C₂×#13063315	C₂²	semidirect
62. C₂×#13063315	C₂²	semidirect
63. C₂×#13063315	C₂²	semidirect
64. C₂×#13063315	C₂²	semidirect
66. C₂×#13063312	C₂²	semidirect
82. C₂×#13063302	C₂²	semidirect
83. C₂×#13063302	C₂²	semidirect
84. C₂×#13063302	C₂²	semidirect
88. C₂²⋊Q₈×D₄₃	C₂²	semidirect
91. #14583378	C₂²	semidirect
92. #14583375	C₂²	semidirect
93. C₂×Q₈×Dic₄₃	C₂²	semidirect
94. C₂×Q₈×Dic₄₃	C₂²	semidirect
95. C₂×C₄×Dic₈₆	C₂²	semidirect
96. C₂×C₄×Dic₈₆	C₂²	semidirect
97. C₂×C₄×Dic₈₆	C₂²	semidirect
98. C₂×C₄×Dic₈₆	C₂²	semidirect
99. C₂×#13063290	C₂²	semidirect
100. C₂×#13063290	C₂²	semidirect
101. C₂×#13063290	C₂²	semidirect
103. C₂×D₄×Dic₄₃	C₂²	semidirect
110. C₂×#13063284	C₂²	semidirect
122. C₂×#13063281	C₂²	semidirect
123. C₂×#13063281	C₂²	semidirect
124. #117×D₄₃	C₂²	semidirect
125. C₂²×Dic₄₃⋊C₄	C₂²	semidirect
135. C₄₃×#542	C₂²	semidirect
136. C₂×C₄⋊Q₈×C₄₃	C₂²	semidirect
137. C₂×#126×C₄₃	C₂²	semidirect
139. C₂×#124×C₄₃	C₂²	semidirect
142. C₂×C₂²⋊Q₈×C₄₃	C₂²	semidirect
144. C₂×C₄×Q₈×C₄₃	C₂²	semidirect
145. C₂×C₄×D₄×C₄₃	C₂²	semidirect
173. #13063325	C₂³	semidirect
174. #13063324	C₂³	semidirect
175. #13063323	C₂³	semidirect
176. #13063323	C₂³	semidirect
181. #13063318	C₂³	semidirect
182. #13063318	C₂³	semidirect
183. #13063318	C₂³	semidirect
184. #13063317	C₂³	semidirect
185. #13063316	C₂³	semidirect
186. #13063316	C₂³	semidirect
187. #13063316	C₂³	semidirect
188. #13063315	C₂³	semidirect
189. #13063315	C₂³	semidirect
190. #13063315	C₂³	semidirect
191. #13063315	C₂³	semidirect
192. #13063315	C₂³	semidirect
194. #13063312	C₂³	semidirect
209. #13063302	C₂³	semidirect
210. #13063302	C₂³	semidirect
211. #13063302	C₂³	semidirect
217. Q₈×Dic₄₃	C₂³	semidirect
218. Q₈×Dic₄₃	C₂³	semidirect
219. C₄×Dic₈₆	C₂³	semidirect
220. C₄×Dic₈₆	C₂³	semidirect
221. C₄×Dic₈₆	C₂³	semidirect
222. C₄×Dic₈₆	C₂³	semidirect
223. #13063290	C₂³	semidirect
224. #13063290	C₂³	semidirect
225. #13063290	C₂³	semidirect
227. D₄×Dic₄₃	C₂³	semidirect
234. #13063284	C₂³	semidirect
246. #13063281	C₂³	semidirect
247. #13063281	C₂³	semidirect
276. C₂×Dic₄₃⋊C₄	C₂³	semidirect
320. C₄⋊Q₈×C₄₃	C₂³	semidirect
321. #126×C₄₃	C₂³	semidirect
323. #124×C₄₃	C₂³	semidirect
326. C₂²⋊Q₈×C₄₃	C₂³	semidirect
328. C₄×Q₈×C₄₃	C₂³	semidirect
329. C₄×D₄×C₄₃	C₂³	semidirect
637. C₂×#542	D₄₃	semidirect
652. C₂×C₄₃	#3495	semidirect
671. #542	C₂×D₄₃	semidirect
681. C₂×C₄⋊Q₈	C₂×D₄₃	semidirect
691. C₂×#126	C₂×D₄₃	semidirect
704. C₂×#124	C₂×D₄₃	semidirect
729. C₂×C₂²⋊Q₈	C₂×D₄₃	semidirect
744. C₂×C₄×Q₈	C₂×D₄₃	semidirect
752. C₂×C₄×D₄	C₂×D₄₃	semidirect
780. C₄₃	C₂×#3495	semidirect
817. C₄⋊Q₈	C₂²×D₄₃	semidirect
825. #126	C₂²×D₄₃	semidirect
838. #124	C₂²×D₄₃	semidirect
861. C₂²⋊Q₈	C₂²×D₄₃	semidirect
874. C₄×Q₈	C₂²×D₄₃	semidirect
882. C₄×D₄	C₂²×D₄₃	semidirect
1263. C₂	#19148345	direct (N × H)

Maximal subgroups

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

subgroup	index
#19148345	2
C₂×#14583618	2
C₂×#14583603	2
C₂×#14583586	2
C₂×#14583585	2
C₂×#14583583	2
C₂×#14583579	2
C₂×#14583577	2
C₂×#14583526	2
C₂×#14583516	2
C₂×#14583511	2
C₂×#14583509	2
C₂×#14583469	2
C₂×#14583454	2
C₂×#14583453	2
C₂×#14583431	2
C₂×#14583428	2
C₂×#14583409	2
C₂×C₂²⋊Q₈×D₄₃	2
C₂×#14583378	2
C₂×#14583375	2
C₂×#117×D₄₃	2
C₂×C₄₃×#542	2
C₂×#3495	43

Subgroups — C2×#19148345 #26005025

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₂×#19148345 #26005025