Subgroups — #25269669

Order 11008.

1978 conjugacy classes of subgroups.

The subgroup lattice has 1458 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#19142946	C₂	1	1	yes	maximal, characteristic, complemented
2	#19142946	C₂	1	1	yes	maximal, characteristic, complemented
3	#19142881	C₂	1	1	yes	maximal, characteristic
4	#19142881	C₂	1	1	yes	maximal, characteristic
5	#19140566	C₂	1	1	yes	maximal, characteristic, complemented
6	#19140564	C₂	1	1	yes	maximal, characteristic, complemented
7	#19140405	C₂	1	1	yes	maximal, characteristic
8	#19140405	C₂	1	1	yes	maximal, characteristic
9	#19140048	C₂	1	1	yes	maximal, characteristic, complemented
10	#19140046	C₂	1	1	yes	maximal, characteristic, complemented
11	#19140045	C₂	1	1	yes	maximal, characteristic, complemented
12	#19140043	C₂	1	1	yes	maximal, characteristic, complemented
13	#19140023	C₂	1	1	yes	maximal, characteristic, complemented
14	#19140021	C₂	1	1	yes	maximal, characteristic, complemented
15	#19140010	C₂	1	1	yes	maximal, characteristic, complemented
16	#19139027	C₂	1	1	yes	maximal, characteristic, complemented
17	#19139021	C₂	1	1	yes	maximal, characteristic, complemented
18	#19138966	C₂	1	1	yes	maximal, characteristic, complemented
19	#19138964	C₂	1	1	yes	maximal, characteristic, complemented
20	#19138193	C₂	1	1	yes	maximal, characteristic, complemented
21	#19138187	C₂	1	1	yes	maximal, characteristic, complemented
22	#19138117	C₂	1	1	yes	maximal, characteristic, complemented
23	#19138115	C₂	1	1	yes	maximal, characteristic, complemented
24	#19137329	C₂	1	1	yes	maximal, characteristic, complemented
25	#19137322	C₂	1	1	yes	maximal, characteristic, complemented
26	#19137189	C₂	1	1	yes	maximal, characteristic
27	#19137189	C₂	1	1	yes	maximal, characteristic
28	#19137129	C₂	1	1	yes	maximal, characteristic, complemented
29	C₄×#13063303	C₂	1	1	yes	maximal, characteristic, complemented
30	C₄×C₂²⋊C₄×D₄₃	C₂	1	1	yes	maximal, characteristic
31	C₄₃×#2587	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂³×C₄×D₄₃	C₂²	1	1	yes	characteristic
33	C₂×#13063324	C₂²	1	1	yes	characteristic, complemented
34	C₂×#13063324	C₂²	1	1	yes	characteristic, complemented
35	C₂×#13063303	C₂²	1	1	yes	characteristic
36	C₂×#13063303	C₂²	1	1	yes	characteristic
37	C₂×#13063303	C₂²	1	1	yes	characteristic
38	C₂×#13063303	C₂²	1	1	yes	characteristic
39	C₂×#13063303	C₂²	1	1	yes	characteristic
40	C₂×#13063303	C₂²	1	1	yes	characteristic
41	C₂×#13063302	C₂²	1	1	yes	characteristic
42	C₂×#13063302	C₂²	1	1	yes	characteristic
43	C₂×C₄×Dic₈₆	C₂²	1	1	yes	characteristic, complemented
44	C₂×#13063290	C₂²	1	1	yes	characteristic, complemented
45	C₂×C₂²⋊C₄×D₄₃	C₂²	1	1	yes	characteristic
46	C₂×C₂²⋊C₄×D₄₃	C₂²	1	1	yes	characteristic
47	C₂×C₄²×D₄₃	C₂²	1	1	yes	characteristic
48	C₂×C₄²×D₄₃	C₂²	1	1	yes	characteristic
49	#14582841	C₂²	1	1	yes	characteristic, complemented
50	#14582841	C₂²	1	1	yes	characteristic, complemented
51	#14582840	C₂²	1	1	yes	characteristic, complemented
52	#14582840	C₂²	1	1	yes	characteristic, complemented
53	#14582839	C₂²	1	1	yes	characteristic, complemented
54	#14582838	C₂²	1	1	yes	characteristic, complemented
55	#14582837	C₂²	1	1	yes	characteristic, complemented
56	#14582835	C₂²	1	1	yes	characteristic
57	#14582835	C₂²	1	1	yes	characteristic
58	#14582834	C₂²	1	1	yes	characteristic
59	#14582834	C₂²	1	1	yes	characteristic
60	#14582833	C₂²	1	1	yes	characteristic, complemented
61	#14582833	C₂²	1	1	yes	characteristic, complemented
62	#14582832	C₂²	1	1	yes	characteristic, complemented
63	#14582832	C₂²	1	1	yes	characteristic, complemented
64	#14582831	C₂²	1	1	yes	characteristic, complemented
65	#14582830	C₂²	1	1	yes	characteristic, complemented
66	#14582829	C₂²	1	1	yes	characteristic, complemented
67	#14582822	C₂²	1	1	yes	characteristic
68	#14582822	C₂²	1	1	yes	characteristic
69	#14582821	C₂²	1	1	yes	characteristic
70	#14582821	C₂²	1	1	yes	characteristic
71	#14582821	C₂²	1	1	yes	characteristic
72	#14582821	C₂²	1	1	yes	characteristic
73	#14582812	C₂²	1	1	yes	characteristic
74	#14582812	C₂²	1	1	yes	characteristic
75	#14582811	C₂²	1	1	yes	characteristic
76	#14582811	C₂²	1	1	yes	characteristic
77	#14582805	C₂²	1	1	yes	characteristic, complemented
78	#14582804	C₂²	1	1	yes	characteristic, complemented
79	#14582803	C₂²	1	1	yes	characteristic, complemented
80	#14582803	C₂²	1	1	yes	characteristic, complemented
81	#14582803	C₂²	1	1	yes	characteristic, complemented
82	#14582803	C₂²	1	1	yes	characteristic, complemented
83	#14582803	C₂²	1	1	yes	characteristic, complemented
84	#14582803	C₂²	1	1	yes	characteristic, complemented
85	#14582803	C₂²	1	1	yes	characteristic, complemented
86	#14582803	C₂²	1	1	yes	characteristic, complemented
87	#14582798	C₂²	1	1	yes	characteristic, complemented
88	#14582797	C₂²	1	1	yes	characteristic, complemented
89	#14582797	C₂²	1	1	yes	characteristic, complemented
90	#14582796	C₂²	1	1	yes	characteristic, complemented
91	#14582796	C₂²	1	1	yes	characteristic, complemented
92	#14582794	C₂²	1	1	yes	characteristic, complemented
93	#14582794	C₂²	1	1	yes	characteristic, complemented
94	#14582794	C₂²	1	1	yes	characteristic, complemented
95	#14582794	C₂²	1	1	yes	characteristic, complemented
96	#14582794	C₂²	1	1	yes	characteristic, complemented
97	#14582794	C₂²	1	1	yes	characteristic, complemented
98	#14582793	C₂²	1	1	yes	characteristic
99	#14582793	C₂²	1	1	yes	characteristic
100	#14582792	C₂²	1	1	yes	characteristic
101	#14582792	C₂²	1	1	yes	characteristic
102	#14582791	C₂²	1	1	yes	characteristic
103	#14582791	C₂²	1	1	yes	characteristic
104	#14582790	C₂²	1	1	yes	characteristic
105	#14582790	C₂²	1	1	yes	characteristic
106	#14582789	C₂²	1	1	yes	characteristic
107	#14582789	C₂²	1	1	yes	characteristic
108	#14582788	C₂²	1	1	yes	characteristic
109	#14582788	C₂²	1	1	yes	characteristic
110	#14582787	C₂²	1	1	yes	characteristic
111	#14582787	C₂²	1	1	yes	characteristic
112	#14582786	C₂²	1	1	yes	characteristic, complemented
113	#14582786	C₂²	1	1	yes	characteristic, complemented
114	#14582785	C₂²	1	1	yes	characteristic, complemented
115	#14582785	C₂²	1	1	yes	characteristic, complemented
116	#14582783	C₂²	1	1	yes	characteristic, complemented
117	#14582783	C₂²	1	1	yes	characteristic, complemented
118	#14582781	C₂²	1	1	yes	characteristic, complemented
119	#14582781	C₂²	1	1	yes	characteristic, complemented
120	#14582780	C₂²	1	1	yes	characteristic, complemented
121	#14582780	C₂²	1	1	yes	characteristic, complemented
122	#14582773	C₂²	1	1	yes	characteristic
123	#14582773	C₂²	1	1	yes	characteristic
124	#14582773	C₂²	1	1	yes	characteristic
125	#14582773	C₂²	1	1	yes	characteristic
126	#14582773	C₂²	1	1	yes	characteristic
127	#14582773	C₂²	1	1	yes	characteristic
128	#14582772	C₂²	1	1	yes	characteristic
129	#14582772	C₂²	1	1	yes	characteristic
130	#14582770	C₂²	1	1	yes	characteristic
131	#14582770	C₂²	1	1	yes	characteristic
132	#14582770	C₂²	1	1	yes	characteristic
133	#14582770	C₂²	1	1	yes	characteristic
134	#14582770	C₂²	1	1	yes	characteristic
135	#14582770	C₂²	1	1	yes	characteristic
136	#14582768	C₂²	1	1	yes	characteristic, complemented
137	#14582768	C₂²	1	1	yes	characteristic, complemented
138	#14582758	C₂²	1	1	yes	characteristic
139	#14582758	C₂²	1	1	yes	characteristic
140	#14582758	C₂²	1	1	yes	characteristic
141	#14582758	C₂²	1	1	yes	characteristic
142	#14582758	C₂²	1	1	yes	characteristic
143	#14582758	C₂²	1	1	yes	characteristic
144	#14582757	C₂²	1	1	yes	characteristic
145	#14582757	C₂²	1	1	yes	characteristic
146	#14582756	C₂²	1	1	yes	characteristic
147	#14582756	C₂²	1	1	yes	characteristic
148	#14582756	C₂²	1	1	yes	characteristic
149	#14582756	C₂²	1	1	yes	characteristic
150	#14582754	C₂²	1	1	yes	characteristic
151	#14582754	C₂²	1	1	yes	characteristic
152	#14582754	C₂²	1	1	yes	characteristic
153	#14582754	C₂²	1	1	yes	characteristic
154	C₄⋊C₄×Dic₄₃	C₂²	1	1	yes	characteristic, complemented
155	C₄×Dic₄₃⋊C₄	C₂²	1	1	yes	characteristic, complemented
156	C₄×Dic₄₃⋊C₄	C₂²	1	1	yes	characteristic, complemented
157	#14582750	C₂²	1	1	yes	characteristic, complemented
158	#14582750	C₂²	1	1	yes	characteristic, complemented
159	C₂²⋊C₄×Dic₄₃	C₂²	1	1	yes	characteristic
160	C₂²⋊C₄×Dic₄₃	C₂²	1	1	yes	characteristic
161	C₄×(C₂×D₄₃)⋊C₄	C₂²	1	1	yes	characteristic
162	C₄×(C₂×D₄₃)⋊C₄	C₂²	1	1	yes	characteristic
163	C₄×(C₂×D₄₃)⋊C₄	C₂²	1	1	yes	characteristic
164	C₄×(C₂×D₄₃)⋊C₄	C₂²	1	1	yes	characteristic
165	C₄×C₂²⋊Dic₄₃	C₂²	1	1	yes	characteristic
166	#14582746	C₂²	1	1	yes	characteristic
167	#14582746	C₂²	1	1	yes	characteristic
168	#14582746	C₂²	1	1	yes	characteristic
169	#14582746	C₂²	1	1	yes	characteristic
170	#95×D₄₃	C₂²	1	1	yes	characteristic
171	#95×D₄₃	C₂²	1	1	yes	characteristic
172	C₄₃×#400	C₂²	1	1	yes	characteristic, complemented
173	C₄₃×#398	C₂²	1	1	yes	characteristic, complemented
174	C₄₃×#396	C₂²	1	1	yes	characteristic
175	C₄₃×#396	C₂²	1	1	yes	characteristic
176	C₄₃×#389	C₂²	1	1	yes	characteristic, complemented
177	C₄₃×#389	C₂²	1	1	yes	characteristic, complemented
178	C₄₃×#389	C₂²	1	1	yes	characteristic, complemented
179	C₄₃×#388	C₂²	1	1	yes	characteristic
180	C₄₃×#388	C₂²	1	1	yes	characteristic
181	C₄₃×#387	C₂²	1	1	yes	characteristic, complemented
182	C₄₃×#387	C₂²	1	1	yes	characteristic, complemented
183	C₄₃×#385	C₂²	1	1	yes	characteristic
184	C₄₃×#385	C₂²	1	1	yes	characteristic
185	C₄×C₄⋊C₄×C₄₃	C₂²	1	1	yes	characteristic, complemented
186	C₄×C₂²⋊C₄×C₄₃	C₂²	1	1	yes	characteristic
187	C₂⁴×D₄₃	C₂³	1	1	yes	characteristic
188	C₂²×Dic₈₆	C₂³	1	1	yes	characteristic
189	C₂²×Dic₈₆	C₂³	1	1	yes	characteristic
190	C₂²×Dic₈₆	C₂³	1	1	yes	characteristic
191	C₂²×Dic₈₆	C₂³	1	1	yes	characteristic
192	C₂³×Dic₄₃	C₂³	1	1	yes	characteristic
193	C₂²×C₄×D₄₃	—	2	4	no	—
194	C₂²×C₄×D₄₃	—	4	2	no	—
195	C₂²×C₄×D₄₃	—	4	2	no	—
196	C₂²×C₄×D₄₃	C₂³	1	1	yes	characteristic
197	C₂²×C₄×D₄₃	C₂³	1	1	yes	characteristic
198	C₂²×C₄×D₄₃	C₂³	1	1	yes	characteristic
199	C₂²×C₄×D₄₃	C₂³	1	1	yes	characteristic
200	C₂²×C₄×D₄₃	C₂³	1	1	yes	characteristic
201	C₂²×C₄×D₄₃	C₂³	1	1	yes	characteristic
202	C₂²×C₄×D₄₃	C₂³	1	1	yes	characteristic
203	C₂²×C₄×D₄₃	C₂³	1	1	yes	characteristic
204	#13063324	—	4	2	no	—
205	#13063324	—	4	2	no	—
206	#13063303	—	2	4	no	—
207	#13063303	—	2	4	no	—
208	#13063303	—	2	4	no	—
209	#13063303	—	2	4	no	—
210	#13063303	—	4	2	no	—
211	#13063303	—	4	2	no	—
212	#13063302	—	4	2	no	—
213	#13063302	—	4	2	no	—
214	C₄×Dic₈₆	—	4	2	no	—
215	#13063290	—	4	2	no	—
216	C₂×C₄⋊Dic₄₃	C₂³	1	1	yes	characteristic
217	C₂×C₄⋊Dic₄₃	C₂³	1	1	yes	characteristic
218	C₂×C₄⋊Dic₄₃	C₂³	1	1	yes	characteristic
219	C₂×C₄⋊Dic₄₃	C₂³	1	1	yes	characteristic
220	C₂×C₄⋊Dic₄₃	C₂³	1	1	yes	characteristic
221	C₂×C₄⋊Dic₄₃	C₂³	1	1	yes	characteristic
222	C₂×C₄⋊Dic₄₃	C₂³	1	1	yes	characteristic
223	C₂×C₄⋊Dic₄₃	C₂³	1	1	yes	characteristic
224	C₂×Dic₄₃⋊C₄	C₂³	1	1	yes	characteristic
225	C₂×Dic₄₃⋊C₄	C₂³	1	1	yes	characteristic
226	C₂×Dic₄₃⋊C₄	C₂³	1	1	yes	characteristic
227	C₂×Dic₄₃⋊C₄	C₂³	1	1	yes	characteristic
228	C₂×Dic₄₃⋊C₄	C₂³	1	1	yes	characteristic
229	C₂×Dic₄₃⋊C₄	C₂³	1	1	yes	characteristic
230	C₂×Dic₄₃⋊C₄	C₂³	1	1	yes	characteristic
231	C₂×Dic₄₃⋊C₄	C₂³	1	1	yes	characteristic
232	C₂×Dic₄₃⋊C₄	C₂³	1	1	yes	characteristic
233	C₂×Dic₄₃⋊C₄	C₂³	1	1	yes	characteristic
234	C₂×Dic₄₃⋊C₄	C₂³	1	1	yes	characteristic
235	C₂×Dic₄₃⋊C₄	C₂³	1	1	yes	characteristic
236	C₂×Dic₄₃⋊C₄	C₂³	1	1	yes	characteristic
237	C₂×Dic₄₃⋊C₄	C₂³	1	1	yes	characteristic
238	C₂×Dic₄₃⋊C₄	C₂³	1	1	yes	characteristic
239	C₂×Dic₄₃⋊C₄	C₂³	1	1	yes	characteristic
240	C₂×Dic₄₃⋊C₄	C₂³	1	1	yes	characteristic
241	C₂×Dic₄₃⋊C₄	C₂³	1	1	yes	characteristic
242	C₂×Dic₄₃⋊C₄	C₂³	1	1	yes	characteristic
243	C₂×Dic₄₃⋊C₄	C₂³	1	1	yes	characteristic
244	C₂×Dic₄₃⋊C₄	C₂³	1	1	yes	characteristic
245	C₂×Dic₄₃⋊C₄	C₂³	1	1	yes	characteristic
246	C₂×Dic₄₃⋊C₄	C₂³	1	1	yes	characteristic
247	C₂×Dic₄₃⋊C₄	C₂³	1	1	yes	characteristic
248	C₂×C₂²⋊Dic₄₃	C₂³	1	1	yes	characteristic
249	C₂×C₂²⋊Dic₄₃	C₂³	1	1	yes	characteristic
250	C₂×C₂²⋊Dic₄₃	C₂³	1	1	yes	characteristic
251	C₂×C₂²⋊Dic₄₃	C₂³	1	1	yes	characteristic
252	C₂×C₂²⋊Dic₄₃	C₂³	1	1	yes	characteristic
253	C₂×C₂²⋊Dic₄₃	C₂³	1	1	yes	characteristic
254	C₂×(C₂×D₄₃)⋊C₄	C₂³	1	1	yes	characteristic
255	C₂×(C₂×D₄₃)⋊C₄	C₂³	1	1	yes	characteristic
256	C₂×(C₂×D₄₃)⋊C₄	C₂³	1	1	yes	characteristic
257	C₂×(C₂×D₄₃)⋊C₄	C₂³	1	1	yes	characteristic
258	C₂×(C₂×D₄₃)⋊C₄	C₂³	1	1	yes	characteristic
259	C₂×(C₂×D₄₃)⋊C₄	C₂³	1	1	yes	characteristic
260	C₂×(C₂×D₄₃)⋊C₄	C₂³	1	1	yes	characteristic
261	C₂×(C₂×D₄₃)⋊C₄	C₂³	1	1	yes	characteristic
262	C₂×(C₂×D₄₃)⋊C₄	C₂³	1	1	yes	characteristic
263	C₂×(C₂×D₄₃)⋊C₄	C₂³	1	1	yes	characteristic
264	C₂×(C₂×D₄₃)⋊C₄	C₂³	1	1	yes	characteristic
265	C₂×(C₂×D₄₃)⋊C₄	C₂³	1	1	yes	characteristic
266	C₂×(C₂×D₄₃)⋊C₄	C₂³	1	1	yes	characteristic
267	C₂×(C₂×D₄₃)⋊C₄	C₂³	1	1	yes	characteristic
268	C₂×(C₂×D₄₃)⋊C₄	C₂³	1	1	yes	characteristic
269	C₂×(C₂×D₄₃)⋊C₄	C₂³	1	1	yes	characteristic
270	C₂×(C₂×D₄₃)⋊C₄	C₂³	1	1	yes	characteristic
271	C₂×(C₂×D₄₃)⋊C₄	C₂³	1	1	yes	characteristic
272	C₂×(C₂×D₄₃)⋊C₄	C₂³	1	1	yes	characteristic
273	C₂×(C₂×D₄₃)⋊C₄	C₂³	1	1	yes	characteristic
274	C₂²⋊C₄×D₄₃	—	2	4	no	—
275	C₂²⋊C₄×D₄₃	Q₈	1	8	yes	complemented
276	C₂×C₄×Dic₄₃	C₂³	1	1	yes	characteristic
277	C₂×C₄×Dic₄₃	C₂³	1	1	yes	characteristic
278	C₂×C₄×Dic₄₃	C₂³	1	1	yes	characteristic
279	C₂×C₄×Dic₄₃	C₂³	1	1	yes	characteristic
280	C₂×C₄×Dic₄₃	C₂³	1	1	yes	characteristic
281	C₂×C₄×Dic₄₃	C₂³	1	1	yes	characteristic
282	C₂×C₄×Dic₄₃	C₂³	1	1	yes	characteristic
283	C₂×C₄×Dic₄₃	C₂³	1	1	yes	characteristic
284	C₂×C₄×Dic₄₃	C₂³	1	1	yes	characteristic
285	C₂×C₄×Dic₄₃	C₂³	1	1	yes	characteristic
286	C₂×C₄×Dic₄₃	C₂³	1	1	yes	characteristic
287	C₂×C₄×Dic₄₃	C₂³	1	1	yes	characteristic
288	C₄²×D₄₃	—	4	2	no	—
289	C₄²×D₄₃	—	4	2	no	—
290	C₄₃⋊#95	C₂³	1	1	yes	characteristic
291	C₄₃⋊#95	C₂³	1	1	yes	characteristic
292	C₄₃⋊#95	C₂³	1	1	yes	characteristic
293	C₄₃⋊#95	C₂³	1	1	yes	characteristic
294	C₄₃⋊#95	C₂³	1	1	yes	characteristic
295	C₄₃⋊#95	C₂³	1	1	yes	characteristic
296	C₄₃⋊#95	C₂³	1	1	yes	characteristic
297	C₄₃⋊#95	C₂³	1	1	yes	characteristic
298	C₄₃⋊#95	C₂³	1	1	yes	characteristic
299	C₄₃⋊#95	C₂³	1	1	yes	characteristic
300	C₄₃⋊#95	C₂³	1	1	yes	characteristic
301	C₄₃⋊#95	C₂³	1	1	yes	characteristic
302	C₄₃⋊#95	C₂³	1	1	yes	characteristic
303	C₄₃⋊#95	C₂³	1	1	yes	characteristic
304	C₄₃⋊#95	C₂³	1	1	yes	characteristic
305	C₄₃⋊#95	C₂³	1	1	yes	characteristic
306	C₄₃⋊#95	C₂³	1	1	yes	characteristic
307	C₄₃⋊#95	C₂³	1	1	yes	characteristic
308	C₄₃⋊#95	C₂³	1	1	yes	characteristic
309	C₄₃⋊#95	C₂³	1	1	yes	characteristic
310	C₄₃⋊#95	C₂³	1	1	yes	characteristic
311	C₄₃⋊#95	C₂³	1	1	yes	characteristic
312	C₄₃⋊#95	C₂³	1	1	yes	characteristic
313	C₄₃⋊#95	C₂³	1	1	yes	characteristic
314	C₄₃⋊#95	C₂³	1	1	yes	characteristic
315	C₄₃⋊#95	C₂³	1	1	yes	characteristic
316	C₄₃⋊#95	C₂³	1	1	yes	characteristic
317	C₄₃⋊#95	C₂³	1	1	yes	characteristic
318	C₄₃⋊#95	C₂³	1	1	yes	characteristic
319	C₄₃⋊#95	C₂³	1	1	yes	characteristic
320	C₄₃⋊#95	C₂³	1	1	yes	characteristic
321	C₄₃⋊#95	C₂³	1	1	yes	characteristic
322	C₄₃⋊#95	C₂³	1	1	yes	characteristic
323	C₄₃⋊#95	C₂³	1	1	yes	characteristic
324	C₄₃⋊#95	C₂³	1	1	yes	characteristic
325	C₄₃⋊#95	C₂³	1	1	yes	characteristic
326	C₂³×C₄×C₄₃	C₂³	1	1	yes	characteristic
327	C₂×C₄⋊C₄×C₄₃	C₂³	1	1	yes	characteristic
328	C₂×C₄⋊C₄×C₄₃	C₂³	1	1	yes	characteristic
329	C₂×C₄⋊C₄×C₄₃	C₂³	1	1	yes	characteristic
330	C₂×C₄⋊C₄×C₄₃	C₂³	1	1	yes	characteristic
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	1	yes	characteristic
336	C₂×C₄⋊C₄×C₄₃	C₂³	1	1	yes	characteristic
337	C₂×C₄⋊C₄×C₄₃	C₂³	1	1	yes	characteristic
338	C₂×C₄⋊C₄×C₄₃	C₂³	1	1	yes	characteristic
339	C₂×C₂²⋊C₄×C₄₃	C₂³	1	1	yes	characteristic
340	C₂×C₂²⋊C₄×C₄₃	C₂³	1	1	yes	characteristic
341	C₂×C₂²⋊C₄×C₄₃	C₂³	1	1	yes	characteristic
342	C₂×C₂²⋊C₄×C₄₃	C₂³	1	1	yes	characteristic
343	C₂×C₂²⋊C₄×C₄₃	C₂³	1	1	yes	characteristic
344	C₂×C₂²⋊C₄×C₄₃	C₂³	1	1	yes	characteristic
345	C₂×C₄²×C₄₃	C₂³	1	1	yes	characteristic
346	C₂×C₄²×C₄₃	C₂³	1	1	yes	characteristic
347	C₂×C₄²×C₄₃	C₂³	1	1	yes	characteristic
348	C₂×C₄²×C₄₃	C₂³	1	1	yes	characteristic
349	#95×C₄₃	C₂³	1	1	yes	characteristic
350	#95×C₄₃	C₂³	1	1	yes	characteristic
351	#95×C₄₃	C₂³	1	1	yes	characteristic
352	#95×C₄₃	C₂³	1	1	yes	characteristic
353	#95×C₄₃	C₂³	1	1	yes	characteristic
354	#95×C₄₃	C₂³	1	1	yes	characteristic
355	#95×C₄₃	C₂³	1	1	yes	characteristic
356	#95×C₄₃	C₂³	1	1	yes	characteristic
357	#95×C₄₃	C₂³	1	1	yes	characteristic
358	#95×C₄₃	C₂³	1	1	yes	characteristic
359	#95×C₄₃	C₂³	1	1	yes	characteristic
360	#95×C₄₃	C₂³	1	1	yes	characteristic
361	C₂⁴×C₄₃	C₂⁴	1	1	yes	characteristic
362	C₂³×D₄₃	—	2	2	no	—
363	C₂³×D₄₃	—	2	2	no	—
364	C₂³×D₄₃	—	4	1	no	—
365	C₂³×D₄₃	—	4	1	no	—
366	C₂³×D₄₃	—	4	1	no	—
367	C₂³×D₄₃	—	4	1	no	—
368	C₂³×D₄₃	C₂×Q₈	1	4	yes	—
369	C₂³×D₄₃	C₂⁴	1	1	yes	characteristic
370	C₂³×D₄₃	C₂⁴	1	1	yes	characteristic
371	C₂²×C₄×C₄₃	—	2	2	no	—
372	C₂²×C₄×C₄₃	—	4	1	no	—
373	C₂²×C₄×C₄₃	—	4	1	no	—
374	C₂²×C₄×C₄₃	C₂⁴	1	1	yes	characteristic
375	C₂²×C₄×C₄₃	C₂⁴	1	1	yes	characteristic
376	C₂²×C₄×C₄₃	C₂⁴	1	1	yes	characteristic
377	C₂²×C₄×C₄₃	C₂⁴	1	1	yes	characteristic
378	C₂²×C₄×C₄₃	C₂⁴	1	1	yes	characteristic
379	C₂²×C₄×C₄₃	C₂⁴	1	1	yes	characteristic
380	C₂²×C₄×C₄₃	C₂⁴	1	1	yes	characteristic
381	C₂²×C₄×C₄₃	C₂⁴	1	1	yes	characteristic
382	C₂²×C₄×C₄₃	C₂⁴	1	1	yes	characteristic
383	C₂²×C₄×C₄₃	C₂⁴	1	1	yes	characteristic
384	C₂²×C₄×C₄₃	C₂⁴	1	1	yes	characteristic
385	C₂²×C₄×C₄₃	C₂⁴	1	1	yes	characteristic
386	C₂²×C₄×C₄₃	C₂⁴	1	1	yes	characteristic
387	C₂²×C₄×C₄₃	C₂⁴	1	1	yes	characteristic
388	C₂²×Dic₄₃	—	2	2	no	—
389	C₂²×Dic₄₃	—	2	2	no	—
390	C₂²×Dic₄₃	—	2	2	no	—
391	C₂²×Dic₄₃	C₂⁴	1	1	yes	characteristic
392	C₂²×Dic₄₃	C₂⁴	1	1	yes	characteristic
393	C₂²×Dic₄₃	C₂⁴	1	1	yes	characteristic
394	C₂²×Dic₄₃	C₂⁴	1	1	yes	characteristic
395	C₂²×Dic₄₃	C₂⁴	1	1	yes	characteristic
396	C₂²×Dic₄₃	C₂⁴	1	1	yes	characteristic
397	C₂²×Dic₄₃	C₂⁴	1	1	yes	characteristic
398	C₂²×Dic₄₃	C₂⁴	1	1	yes	characteristic
399	C₂²×Dic₄₃	C₂⁴	1	1	yes	characteristic
400	C₂²×Dic₄₃	C₂⁴	1	1	yes	characteristic
401	C₂²×Dic₄₃	C₂⁴	1	1	yes	characteristic
402	C₂²×Dic₄₃	C₂⁴	1	1	yes	characteristic
403	C₂²×Dic₄₃	C₂⁴	1	1	yes	characteristic
404	C₂²×Dic₄₃	C₂⁴	1	1	yes	characteristic
405	C₂×C₄×D₄₃	—	2	2	no	—
406	C₂×C₄×D₄₃	—	2	2	no	—
407	C₂×C₄×D₄₃	—	2	2	no	—
408	C₂×C₄×D₄₃	—	2	2	no	—
409	C₂×C₄×D₄₃	—	2	2	no	—
410	C₂×C₄×D₄₃	—	2	2	no	—
411	C₂×C₄×D₄₃	—	2	2	no	—
412	C₂×C₄×D₄₃	—	2	2	no	—
413	C₂×C₄×D₄₃	—	4	1	no	—
414	C₂×C₄×D₄₃	—	4	1	no	—
415	C₂×C₄×D₄₃	—	4	1	no	—
416	C₂×C₄×D₄₃	—	4	1	no	—
417	C₂×C₄×D₄₃	—	4	1	no	—
418	C₂×C₄×D₄₃	—	4	1	no	—
419	C₂×C₄×D₄₃	—	4	1	no	—
420	C₂×C₄×D₄₃	—	4	1	no	—
421	C₂×C₄×D₄₃	—	4	1	no	—
422	C₂×C₄×D₄₃	—	4	1	no	—
423	C₂×C₄×D₄₃	—	4	1	no	—
424	C₂×C₄×D₄₃	—	4	1	no	—
425	C₂×C₄×D₄₃	—	4	16	no	—
426	C₂×C₄×D₄₃	C₂×Q₈	1	4	yes	—
427	C₂×C₄×D₄₃	C₂×Q₈	1	4	yes	—
428	C₂×C₄×D₄₃	#41	1	4	yes	—
429	C₂×C₄×D₄₃	#41	1	4	yes	—
430	C₂×Dic₈₆	—	2	2	no	—
431	C₂×Dic₈₆	—	2	2	no	—
432	C₂×Dic₈₆	—	2	2	no	—
433	C₂×Dic₈₆	—	2	2	no	—
434	C₂×Dic₈₆	—	2	2	no	—
435	C₂×Dic₈₆	—	2	2	no	—
436	C₂×Dic₈₆	—	2	2	no	—
437	C₂×Dic₈₆	—	2	2	no	—
438	C₂×Dic₈₆	—	4	1	no	—
439	C₂×Dic₈₆	—	4	1	no	—
440	C₂×Dic₈₆	—	4	1	no	—
441	C₂×Dic₈₆	—	4	1	no	—
442	C₄⋊C₄×C₄₃	—	2	2	no	—
443	C₄⋊C₄×C₄₃	—	2	2	no	—
444	C₄⋊C₄×C₄₃	—	2	2	no	—
445	C₄⋊C₄×C₄₃	—	2	2	no	—
446	C₄⋊C₄×C₄₃	—	4	1	no	—
447	C₄⋊C₄×C₄₃	—	4	1	no	—
448	C₄⋊C₄×C₄₃	—	4	1	no	—
449	C₄⋊C₄×C₄₃	—	4	1	no	—
450	C₄⋊C₄×C₄₃	—	4	1	no	—
451	C₄⋊C₄×C₄₃	—	4	1	no	—
452	C₄⋊C₄×C₄₃	—	4	1	no	—
453	C₄⋊C₄×C₄₃	—	4	1	no	—
454	C₂²⋊C₄×C₄₃	—	2	2	no	—
455	C₂²⋊C₄×C₄₃	—	4	1	no	—
456	C₂²⋊C₄×C₄₃	—	4	1	no	—
457	C₂²⋊C₄×C₄₃	—	4	1	no	—
458	C₂²⋊C₄×C₄₃	—	4	1	no	—
459	C₂²⋊C₄×C₄₃	C₂×Q₈	1	4	yes	—
460	C₄²×C₄₃	—	4	1	no	—
461	C₄²×C₄₃	—	4	1	no	—
462	C₄²×C₄₃	—	4	1	no	—
463	C₄²×C₄₃	—	4	1	no	—
464	C₂²⋊Dic₄₃	—	2	2	no	—
465	C₂²⋊Dic₄₃	—	4	1	no	—
466	C₂²⋊Dic₄₃	—	4	1	no	—
467	C₂²⋊Dic₄₃	—	4	1	no	—
468	C₂²⋊Dic₄₃	—	4	1	no	—
469	C₂²⋊Dic₄₃	C₂×Q₈	1	4	yes	—
470	(C₂×D₄₃)⋊C₄	—	2	2	no	—
471	(C₂×D₄₃)⋊C₄	—	2	2	no	—
472	(C₂×D₄₃)⋊C₄	—	2	2	no	—
473	(C₂×D₄₃)⋊C₄	—	2	2	no	—
474	(C₂×D₄₃)⋊C₄	—	2	2	no	—
475	(C₂×D₄₃)⋊C₄	—	2	2	no	—
476	(C₂×D₄₃)⋊C₄	—	2	2	no	—
477	(C₂×D₄₃)⋊C₄	—	2	2	no	—
478	(C₂×D₄₃)⋊C₄	—	2	2	no	—
479	(C₂×D₄₃)⋊C₄	—	2	2	no	—
480	(C₂×D₄₃)⋊C₄	—	4	1	no	—
481	(C₂×D₄₃)⋊C₄	—	4	1	no	—
482	(C₂×D₄₃)⋊C₄	—	4	1	no	—
483	(C₂×D₄₃)⋊C₄	—	4	1	no	—
484	(C₂×D₄₃)⋊C₄	—	4	1	no	—
485	(C₂×D₄₃)⋊C₄	—	4	1	no	—
486	(C₂×D₄₃)⋊C₄	—	4	1	no	—
487	(C₂×D₄₃)⋊C₄	—	4	1	no	—
488	(C₂×D₄₃)⋊C₄	C₂×Q₈	1	4	yes	—
489	(C₂×D₄₃)⋊C₄	C₂×Q₈	1	4	yes	—
490	C₄⋊Dic₄₃	—	4	1	no	—
491	C₄⋊Dic₄₃	—	4	1	no	—
492	C₄⋊Dic₄₃	—	4	1	no	—
493	C₄⋊Dic₄₃	—	4	1	no	—
494	C₄⋊Dic₄₃	—	4	1	no	—
495	C₄⋊Dic₄₃	—	4	1	no	—
496	C₄⋊Dic₄₃	—	4	1	no	—
497	C₄⋊Dic₄₃	—	4	1	no	—
498	Dic₄₃⋊C₄	—	2	2	no	—
499	Dic₄₃⋊C₄	—	2	2	no	—
500	Dic₄₃⋊C₄	—	2	2	no	—
501	Dic₄₃⋊C₄	—	2	2	no	—
502	Dic₄₃⋊C₄	—	2	2	no	—
503	Dic₄₃⋊C₄	—	2	2	no	—
504	Dic₄₃⋊C₄	—	2	2	no	—
505	Dic₄₃⋊C₄	—	2	2	no	—
506	Dic₄₃⋊C₄	—	2	2	no	—
507	Dic₄₃⋊C₄	—	2	2	no	—
508	Dic₄₃⋊C₄	—	2	2	no	—
509	Dic₄₃⋊C₄	—	2	2	no	—
510	Dic₄₃⋊C₄	—	4	1	no	—
511	Dic₄₃⋊C₄	—	4	1	no	—
512	Dic₄₃⋊C₄	—	4	1	no	—
513	Dic₄₃⋊C₄	—	4	1	no	—
514	Dic₄₃⋊C₄	—	4	1	no	—
515	Dic₄₃⋊C₄	—	4	1	no	—
516	Dic₄₃⋊C₄	—	4	1	no	—
517	Dic₄₃⋊C₄	—	4	1	no	—
518	Dic₄₃⋊C₄	—	4	1	no	—
519	Dic₄₃⋊C₄	—	4	1	no	—
520	Dic₄₃⋊C₄	—	4	1	no	—
521	Dic₄₃⋊C₄	—	4	1	no	—
522	C₄×Dic₄₃	—	2	2	no	—
523	C₄×Dic₄₃	—	2	2	no	—
524	C₄×Dic₄₃	—	2	2	no	—
525	C₄×Dic₄₃	—	2	2	no	—
526	C₄×Dic₄₃	—	4	1	no	—
527	C₄×Dic₄₃	—	4	1	no	—
528	C₄×Dic₄₃	—	4	1	no	—
529	C₄×Dic₄₃	—	4	1	no	—
530	C₄×Dic₄₃	—	4	1	no	—
531	C₄×Dic₄₃	—	4	1	no	—
532	C₄×Dic₄₃	—	4	1	no	—
533	C₄×Dic₄₃	—	4	1	no	—
534	C₂³×C₄₃	—	2	1	no	—
535	C₂³×C₄₃	—	2	1	no	—
536	C₂³×C₄₃	—	2	1	no	—
537	C₂³×C₄₃	—	2	1	no	—
538	C₂³×C₄₃	—	2	1	no	—
539	C₂³×C₄₃	—	2	1	no	—
540	C₂³×C₄₃	C₂²×Q₈	1	2	yes	—
541	C₂³×C₄₃	C₂⁵	1	1	yes	characteristic
542	C₂²×D₄₃	—	2	1	no	—
543	C₂²×D₄₃	—	2	1	no	—
544	C₂²×D₄₃	—	2	1	no	—
545	C₂²×D₄₃	—	2	1	no	—
546	C₂²×D₄₃	—	2	1	no	—
547	C₂²×D₄₃	—	2	1	no	—
548	C₂²×D₄₃	—	2	1	no	—
549	C₂²×D₄₃	—	2	1	no	—
550	C₂²×D₄₃	—	2	1	no	—
551	C₂²×D₄₃	—	2	1	no	—
552	C₂²×D₄₃	—	2	8	no	—
553	C₂²×D₄₃	—	4	4	no	—
554	C₂²×D₄₃	—	4	4	no	—
555	C₂²×D₄₃	—	4	4	no	—
556	C₂²×D₄₃	—	4	4	no	—
557	C₂²×D₄₃	—	4	4	no	—
558	C₂²×D₄₃	—	4	4	no	—
559	C₂²×D₄₃	C₂²×Q₈	1	2	yes	—
560	C₂²×D₄₃	C₂²×Q₈	1	2	yes	—
561	C₂²×D₄₃	C₂×#41	1	2	yes	—
562	C₂²×D₄₃	C₂×#41	1	2	yes	—
563	C₂×C₄×C₄₃	—	2	1	no	—
564	C₂×C₄×C₄₃	—	2	1	no	—
565	C₂×C₄×C₄₃	—	2	1	no	—
566	C₂×C₄×C₄₃	—	2	1	no	—
567	C₂×C₄×C₄₃	—	2	1	no	—
568	C₂×C₄×C₄₃	—	2	1	no	—
569	C₂×C₄×C₄₃	—	2	1	no	—
570	C₂×C₄×C₄₃	—	2	1	no	—
571	C₂×C₄×C₄₃	—	2	1	no	—
572	C₂×C₄×C₄₃	—	2	1	no	—
573	C₂×C₄×C₄₃	—	2	1	no	—
574	C₂×C₄×C₄₃	—	2	1	no	—
575	C₂×C₄×C₄₃	—	2	1	no	—
576	C₂×C₄×C₄₃	—	2	1	no	—
577	C₂×C₄×C₄₃	—	2	1	no	—
578	C₂×C₄×C₄₃	—	2	1	no	—
579	C₂×C₄×C₄₃	—	2	1	no	—
580	C₂×C₄×C₄₃	—	2	1	no	—
581	C₂×C₄×C₄₃	—	2	1	no	—
582	C₂×C₄×C₄₃	—	2	1	no	—
583	C₂×C₄×C₄₃	—	2	1	no	—
584	C₂×C₄×C₄₃	—	2	1	no	—
585	C₂×C₄×C₄₃	—	2	1	no	—
586	C₂×C₄×C₄₃	—	2	1	no	—
587	C₂×C₄×C₄₃	—	2	1	no	—
588	C₂×C₄×C₄₃	—	2	1	no	—
589	C₂×C₄×C₄₃	—	2	1	no	—
590	C₂×C₄×C₄₃	—	2	1	no	—
591	C₂×C₄×C₄₃	—	2	1	no	—
592	C₂×C₄×C₄₃	—	2	1	no	—
593	C₂×C₄×C₄₃	—	2	1	no	—
594	C₂×C₄×C₄₃	—	2	1	no	—
595	C₂×C₄×C₄₃	—	2	1	no	—
596	C₂×C₄×C₄₃	—	2	1	no	—
597	C₂×C₄×C₄₃	—	2	1	no	—
598	C₂×C₄×C₄₃	—	2	1	no	—
599	C₂×C₄×C₄₃	—	2	1	no	—
600	C₂×C₄×C₄₃	—	2	1	no	—
601	C₂×C₄×C₄₃	—	4	4	no	—
602	C₂×C₄×C₄₃	C₂²×Q₈	1	2	yes	—
603	C₂×C₄×C₄₃	C₂²×Q₈	1	2	yes	—
604	C₂×C₄×C₄₃	C₂×#41	1	2	yes	—
605	C₂×C₄×C₄₃	C₂×#41	1	2	yes	—
606	C₂×Dic₄₃	—	2	1	no	—
607	C₂×Dic₄₃	—	2	1	no	—
608	C₂×Dic₄₃	—	2	1	no	—
609	C₂×Dic₄₃	—	2	1	no	—
610	C₂×Dic₄₃	—	2	1	no	—
611	C₂×Dic₄₃	—	2	1	no	—
612	C₂×Dic₄₃	—	2	1	no	—
613	C₂×Dic₄₃	—	2	1	no	—
614	C₂×Dic₄₃	—	2	1	no	—
615	C₂×Dic₄₃	—	2	1	no	—
616	C₂×Dic₄₃	—	2	1	no	—
617	C₂×Dic₄₃	—	2	1	no	—
618	C₂×Dic₄₃	—	2	1	no	—
619	C₂×Dic₄₃	—	2	1	no	—
620	C₂×Dic₄₃	—	2	1	no	—
621	C₂×Dic₄₃	—	2	1	no	—
622	C₂×Dic₄₃	—	2	1	no	—
623	C₂×Dic₄₃	—	2	1	no	—
624	C₂×Dic₄₃	—	2	1	no	—
625	C₂×Dic₄₃	—	2	1	no	—
626	C₂×Dic₄₃	—	2	1	no	—
627	C₂×Dic₄₃	—	2	1	no	—
628	C₂×Dic₄₃	—	2	1	no	—
629	C₂×Dic₄₃	—	2	1	no	—
630	C₂×Dic₄₃	—	2	1	no	—
631	C₂×Dic₄₃	—	2	1	no	—
632	C₂×Dic₄₃	—	2	1	no	—
633	C₂×Dic₄₃	—	2	1	no	—
634	C₂×Dic₄₃	—	2	1	no	—
635	C₂×Dic₄₃	—	2	1	no	—
636	C₂×Dic₄₃	—	2	1	no	—
637	C₂×Dic₄₃	—	2	1	no	—
638	C₂×Dic₄₃	—	2	1	no	—
639	C₂×Dic₄₃	—	2	1	no	—
640	C₂×Dic₄₃	—	2	1	no	—
641	C₂×Dic₄₃	—	2	1	no	—
642	C₂×Dic₄₃	—	4	4	no	—
643	C₂×Dic₄₃	C₂²×Q₈	1	2	yes	—
644	C₂×Dic₄₃	C₂²×Q₈	1	2	yes	—
645	C₂×Dic₄₃	C₂×#41	1	2	yes	—
646	C₂×Dic₄₃	C₂×#41	1	2	yes	—
647	C₂×Dic₄₃	H(5,𝔽₂)	1	2	yes	—
648	C₂×Dic₄₃	H(5,𝔽₂)	1	2	yes	—
649	C₄×D₄₃	—	2	8	no	—
650	C₄×D₄₃	—	4	4	no	—
651	C₄×D₄₃	—	4	4	no	—
652	C₄×D₄₃	—	4	4	no	—
653	C₄×D₄₃	—	4	4	no	—
654	C₄×D₄₃	—	4	4	no	—
655	C₄×D₄₃	—	4	4	no	—
656	C₄×D₄₃	—	4	4	no	—
657	Dic₈₆	—	4	4	no	—
658	Dic₈₆	—	4	4	no	—
659	Dic₈₆	—	8	2	no	—
660	Dic₈₆	—	8	2	no	—
661	#35014	—	43	1	no	maximal, Sylow
662	C₂²×C₄₃	—	2	2	no	—
663	C₂²×C₄₃	—	2	2	no	—
664	C₂²×C₄₃	—	2	2	no	—
665	C₂²×C₄₃	—	4	1	no	—
666	C₂²×C₄₃	—	4	1	no	—
667	C₂²×C₄₃	—	4	1	no	—
668	C₂²×C₄₃	—	4	1	no	—
669	C₂²×C₄₃	C₂³×Q₈	1	1	yes	characteristic
670	C₂²×C₄₃	C₂²×#41	1	1	yes	characteristic
671	C₂²×C₄₃	C₂²×#41	1	1	yes	characteristic
672	C₂²×C₄₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
673	C₂²×C₄₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
674	C₂²×C₄₃	#585	1	1	yes	characteristic
675	C₂²×C₄₃	#585	1	1	yes	characteristic
676	C₂×D₄₃	—	2	2	no	—
677	C₂×D₄₃	—	2	2	no	—
678	C₂×D₄₃	—	2	2	no	—
679	C₂×D₄₃	—	2	2	no	—
680	C₂×D₄₃	—	2	2	no	—
681	C₂×D₄₃	—	2	2	no	—
682	C₂×D₄₃	—	2	2	no	—
683	C₂×D₄₃	—	2	2	no	—
684	C₂×D₄₃	—	2	2	no	—
685	C₂×D₄₃	—	4	16	no	—
686	C₂×D₄₃	—	4	1	no	—
687	C₂×D₄₃	—	4	1	no	—
688	C₂×D₄₃	—	4	1	no	—
689	C₂×D₄₃	—	4	1	no	—
690	C₂×D₄₃	#533	1	4	yes	—
691	C₄×C₄₃	—	2	2	no	—
692	C₄×C₄₃	—	2	2	no	—
693	C₄×C₄₃	—	2	2	no	—
694	C₄×C₄₃	—	2	2	no	—
695	C₄×C₄₃	—	4	1	no	—
696	C₄×C₄₃	—	4	1	no	—
697	C₄×C₄₃	—	4	1	no	—
698	C₄×C₄₃	—	4	1	no	—
699	C₄×C₄₃	—	4	1	no	—
700	C₄×C₄₃	—	4	1	no	—
701	C₄×C₄₃	—	4	1	no	—
702	C₄×C₄₃	—	4	1	no	—
703	C₄×C₄₃	—	4	1	no	—
704	C₄×C₄₃	—	4	1	no	—
705	Dic₄₃	—	2	2	no	—
706	Dic₄₃	—	2	2	no	—
707	Dic₄₃	—	2	2	no	—
708	Dic₄₃	—	4	1	no	—
709	Dic₄₃	—	4	1	no	—
710	Dic₄₃	—	4	1	no	—
711	Dic₄₃	—	4	1	no	—
712	Dic₄₃	—	4	1	no	—
713	Dic₄₃	—	4	1	no	—
714	Dic₄₃	—	4	1	no	—
715	Dic₄₃	—	4	1	no	—
716	Dic₄₃	—	4	1	no	—
717	Dic₄₃	—	4	1	no	—
718	Dic₄₃	#538	1	4	yes	—
719	#2857	—	43	1	no	—
720	#2857	—	43	1	no	—
721	#2848	—	43	1	no	—
722	#2848	—	43	1	no	—
723	#2646	—	43	1	no	—
724	#2646	—	43	1	no	—
725	#2626	—	43	1	no	—
726	#2626	—	43	1	no	—
727	#2589	—	43	1	no	—
728	#2589	—	43	1	no	—
729	#2589	—	43	1	no	—
730	#2589	—	43	1	no	—
731	#2587	—	43	1	no	—
732	#2587	—	43	1	no	—
733	#2587	—	43	1	no	—
734	#2587	D₄₃	1	1	yes	characteristic, complemented
735	#2497	—	43	1	no	—
736	#2497	—	43	1	no	—
737	#2492	—	43	1	no	—
738	#2492	—	43	1	no	—
739	#2429	—	43	1	no	—
740	#2429	—	43	1	no	—
741	#2423	—	43	1	no	—
742	#2423	—	43	1	no	—
743	#2329	—	43	1	no	—
744	#2329	—	43	1	no	—
745	#2312	—	43	1	no	—
746	#2312	—	43	1	no	—
747	C₄×C₂²⋊Q₈	—	43	1	no	—
748	C₄×C₂²⋊Q₈	—	43	1	no	—
749	C₂×C₄×C₂²⋊C₄	—	43	1	no	—
750	C₂×C₄₃	—	4	2	no	—
751	C₂×C₄₃	C₂×#533	1	1	yes	characteristic
752	C₂×C₄₃	C₂×#538	1	1	yes	characteristic
753	C₂×C₄₃	#3455	1	1	yes	characteristic
754	C₂×C₄₃	#3501	1	1	yes	characteristic
755	C₂×C₄₃	#3501	1	1	yes	characteristic
756	C₂×C₄₃	#3505	1	1	yes	characteristic
757	C₂×C₄₃	#3506	1	1	yes	characteristic
758	D₄₃	—	2	4	no	—
759	D₄₃	—	4	2	no	—
760	C₂⁴×C₄	—	43	1	no	—
761	C₂×C₄⋊Q₈	—	43	1	no	—
762	C₂×C₄⋊Q₈	—	43	1	no	—
763	C₂×C₂²⋊Q₈	—	43	1	no	—
764	C₂×C₂²⋊Q₈	—	43	1	no	—
765	C₂×C₂²⋊Q₈	—	43	1	no	—
766	C₂×C₂²⋊Q₈	—	43	1	no	—
767	C₂×C₂²⋊Q₈	—	43	1	no	—
768	C₂×C₂²⋊Q₈	—	43	1	no	—
769	C₂×C₂²⋊Q₈	—	43	1	no	—
770	C₂×C₂²⋊Q₈	—	43	1	no	—
771	C₂×C₄×Q₈	—	43	1	no	—
772	C₂×C₄×Q₈	—	43	1	no	—
773	C₂²×C₂²⋊C₄	—	43	1	no	—
774	C₂²×C₂²⋊C₄	—	43	1	no	—
775	C₂²×C₄²	—	43	1	no	—
776	C₂²×C₄²	—	43	1	no	—
777	#400	—	43	1	no	—
778	#400	—	43	1	no	—
779	#400	—	43	1	no	—
780	#400	—	43	1	no	—
781	#400	—	43	1	no	—
782	#400	—	43	1	no	—
783	#400	—	43	1	no	—
784	#400	C₂×D₄₃	1	1	yes	characteristic, complemented
785	#399	—	43	1	no	—
786	#399	—	43	1	no	—
787	#399	—	43	1	no	—
788	#399	—	43	1	no	—
789	#398	—	43	1	no	—
790	#398	—	43	1	no	—
791	#398	—	43	1	no	—
792	#398	—	43	1	no	—
793	#398	—	43	1	no	—
794	#398	—	43	1	no	—
795	#398	—	43	1	no	—
796	#398	C₂×D₄₃	1	1	yes	characteristic, complemented
797	#396	—	43	1	no	—
798	#396	—	43	1	no	—
799	#396	—	43	1	no	—
800	#396	—	43	1	no	—
801	#396	—	43	1	no	—
802	#396	—	43	1	no	—
803	#396	C₂×D₄₃	1	1	yes	characteristic
804	#396	C₂×D₄₃	1	1	yes	characteristic
805	#393	—	43	1	no	—
806	#393	—	43	1	no	—
807	#393	—	43	1	no	—
808	#393	—	43	1	no	—
809	#391	—	43	1	no	—
810	#391	—	43	1	no	—
811	#391	—	43	1	no	—
812	#391	—	43	1	no	—
813	#391	—	43	1	no	—
814	#391	—	43	1	no	—
815	#391	—	43	1	no	—
816	#391	—	43	1	no	—
817	#391	—	43	1	no	—
818	#391	—	43	1	no	—
819	#389	—	43	1	no	—
820	#389	—	43	1	no	—
821	#389	—	43	1	no	—
822	#389	—	43	1	no	—
823	#389	—	43	1	no	—
824	#389	—	43	1	no	—
825	#389	—	43	1	no	—
826	#389	—	43	1	no	—
827	#389	—	43	1	no	—
828	#389	—	43	1	no	—
829	#389	—	43	1	no	—
830	#389	C₂×D₄₃	1	1	yes	characteristic, complemented
831	#389	C₂×D₄₃	1	1	yes	characteristic, complemented
832	#389	C₂×D₄₃	1	1	yes	characteristic, complemented
833	#388	—	43	1	no	—
834	#388	—	43	1	no	—
835	#388	—	43	1	no	—
836	#388	—	43	1	no	—
837	#388	—	43	1	no	—
838	#388	—	43	1	no	—
839	#388	—	43	1	no	—
840	#388	—	43	1	no	—
841	#388	—	43	1	no	—
842	#388	—	43	1	no	—
843	#388	—	43	1	no	—
844	#388	—	43	1	no	—
845	#388	—	43	1	no	—
846	#388	—	43	1	no	—
847	#388	C₂×D₄₃	1	1	yes	characteristic
848	#388	C₂×D₄₃	1	1	yes	characteristic
849	#387	—	43	1	no	—
850	#387	—	43	1	no	—
851	#387	—	43	1	no	—
852	#387	—	43	1	no	—
853	#387	—	43	1	no	—
854	#387	—	43	1	no	—
855	#387	—	43	1	no	—
856	#387	—	43	1	no	—
857	#387	—	43	1	no	—
858	#387	—	43	1	no	—
859	#387	C₂×D₄₃	1	1	yes	characteristic, complemented
860	#387	C₂×D₄₃	1	1	yes	characteristic, complemented
861	#385	—	43	1	no	—
862	#385	—	43	1	no	—
863	#385	—	43	1	no	—
864	#385	—	43	1	no	—
865	#385	—	43	1	no	—
866	#385	—	43	1	no	—
867	#385	—	43	1	no	—
868	#385	—	43	1	no	—
869	#385	—	43	1	no	—
870	#385	—	43	1	no	—
871	#385	—	43	1	no	—
872	#385	—	43	1	no	—
873	#385	—	43	1	no	—
874	#385	—	43	1	no	—
875	#385	C₂×D₄₃	1	1	yes	characteristic
876	#385	C₂×D₄₃	1	1	yes	characteristic
877	#384	—	43	1	no	—
878	#384	—	43	1	no	—
879	#380	—	43	1	no	—
880	#380	—	43	1	no	—
881	#380	—	43	1	no	—
882	#380	—	43	1	no	—
883	#380	—	43	1	no	—
884	#380	—	43	1	no	—
885	#380	—	43	1	no	—
886	#380	—	43	1	no	—
887	#380	—	43	1	no	—
888	#380	—	43	1	no	—
889	#380	—	43	1	no	—
890	#380	—	43	1	no	—
891	#379	—	43	1	no	—
892	#379	—	43	1	no	—
893	#379	—	43	1	no	—
894	#379	—	43	1	no	—
895	C₄×C₄⋊C₄	—	43	1	no	—
896	C₄×C₄⋊C₄	—	43	1	no	—
897	C₄×C₄⋊C₄	—	43	1	no	—
898	C₄×C₄⋊C₄	—	43	1	no	—
899	C₄×C₄⋊C₄	—	43	1	no	—
900	C₄×C₄⋊C₄	C₂×D₄₃	1	1	yes	characteristic, complemented
901	C₄×C₂²⋊C₄	—	43	1	no	—
902	C₄×C₂²⋊C₄	—	43	1	no	—
903	C₄×C₂²⋊C₄	—	43	1	no	—
904	C₄×C₂²⋊C₄	—	43	1	no	—
905	C₄×C₂²⋊C₄	—	43	1	no	—
906	C₄×C₂²⋊C₄	—	43	1	no	—
907	C₄×C₂²⋊C₄	—	43	1	no	—
908	C₄×C₂²⋊C₄	—	43	1	no	—
909	C₄×C₂²⋊C₄	—	43	1	no	—
910	C₄×C₂²⋊C₄	—	43	1	no	—
911	C₄×C₂²⋊C₄	—	43	1	no	—
912	C₄×C₂²⋊C₄	C₂×D₄₃	1	1	yes	characteristic
913	C₂×#95	—	43	1	no	—
914	C₂×#95	—	43	1	no	—
915	C₄₃	#35014	1	1	yes	characteristic, complemented, Sylow
916	C₂⁵	—	43	1	no	—
917	C₂²×Q₈	—	43	1	no	—
918	C₂²×Q₈	—	43	1	no	—
919	C₂²×Q₈	—	43	1	no	—
920	C₂²×Q₈	—	43	1	no	—
921	C₂³×C₄	—	43	1	no	—
922	C₂³×C₄	—	43	1	no	—
923	C₂³×C₄	—	43	1	no	—
924	C₂³×C₄	—	43	1	no	—
925	C₂³×C₄	—	43	1	no	—
926	C₂³×C₄	—	43	1	no	—
927	C₂³×C₄	—	43	1	no	—
928	C₂³×C₄	—	43	1	no	—
929	C₂³×C₄	—	43	1	no	—
930	C₂³×C₄	—	86	4	no	—
931	C₂³×C₄	—	172	2	no	—
932	C₂³×C₄	—	172	2	no	—
933	C₂³×C₄	C₂²×D₄₃	1	1	yes	characteristic
934	C₄⋊Q₈	—	172	2	no	—
935	C₄⋊Q₈	—	172	2	no	—
936	C₂²⋊Q₈	—	86	4	no	—
937	C₂²⋊Q₈	—	86	4	no	—
938	C₂²⋊Q₈	—	86	4	no	—
939	C₂²⋊Q₈	—	86	4	no	—
940	C₂²⋊Q₈	—	172	2	no	—
941	C₂²⋊Q₈	—	172	2	no	—
942	C₂²⋊Q₈	—	172	2	no	—
943	C₂²⋊Q₈	—	172	2	no	—
944	C₄×Q₈	—	172	2	no	—
945	C₄×Q₈	—	172	2	no	—
946	C₂×C₄⋊C₄	—	43	1	no	—
947	C₂×C₄⋊C₄	—	43	1	no	—
948	C₂×C₄⋊C₄	—	43	1	no	—
949	C₂×C₄⋊C₄	—	43	1	no	—
950	C₂×C₄⋊C₄	—	43	1	no	—
951	C₂×C₄⋊C₄	—	43	1	no	—
952	C₂×C₄⋊C₄	—	43	1	no	—
953	C₂×C₄⋊C₄	—	43	1	no	—
954	C₂×C₄⋊C₄	—	43	1	no	—
955	C₂×C₄⋊C₄	—	43	1	no	—
956	C₂×C₄⋊C₄	—	43	1	no	—
957	C₂×C₄⋊C₄	—	43	1	no	—
958	C₂×C₄⋊C₄	—	43	1	no	—
959	C₂×C₄⋊C₄	—	43	1	no	—
960	C₂×C₄⋊C₄	—	43	1	no	—
961	C₂×C₄⋊C₄	—	43	1	no	—
962	C₂×C₄⋊C₄	—	43	1	no	—
963	C₂×C₄⋊C₄	—	43	1	no	—
964	C₂×C₄⋊C₄	—	43	1	no	—
965	C₂×C₄⋊C₄	—	43	1	no	—
966	C₂×C₄⋊C₄	—	43	1	no	—
967	C₂×C₄⋊C₄	—	43	1	no	—
968	C₂×C₄⋊C₄	—	43	1	no	—
969	C₂×C₄⋊C₄	—	43	1	no	—
970	C₂×C₄⋊C₄	—	43	1	no	—
971	C₂×C₄⋊C₄	—	43	1	no	—
972	C₂×C₄⋊C₄	—	43	1	no	—
973	C₂×C₄⋊C₄	—	43	1	no	—
974	C₂×C₄⋊C₄	—	43	1	no	—
975	C₂×C₄⋊C₄	—	43	1	no	—
976	C₂×C₄⋊C₄	—	43	1	no	—
977	C₂×C₄⋊C₄	—	43	1	no	—
978	C₂×C₄⋊C₄	C₂²×D₄₃	1	1	yes	characteristic
979	C₂×C₄⋊C₄	C₂²×D₄₃	1	1	yes	characteristic
980	C₂×C₄⋊C₄	C₂²×D₄₃	1	1	yes	characteristic
981	C₂×C₄⋊C₄	C₂²×D₄₃	1	1	yes	characteristic
982	C₂×C₄⋊C₄	C₂²×D₄₃	1	1	yes	characteristic
983	C₂×C₄⋊C₄	C₂²×D₄₃	1	1	yes	characteristic
984	C₂×C₄⋊C₄	C₂²×D₄₃	1	1	yes	characteristic
985	C₂×C₄⋊C₄	C₂²×D₄₃	1	1	yes	characteristic
986	C₂×C₄⋊C₄	C₂²×D₄₃	1	1	yes	characteristic
987	C₂×C₄⋊C₄	C₂²×D₄₃	1	1	yes	characteristic
988	C₂×C₄⋊C₄	C₂²×D₄₃	1	1	yes	characteristic
989	C₂×C₄⋊C₄	C₂²×D₄₃	1	1	yes	characteristic
990	C₂×C₂²⋊C₄	—	43	1	no	—
991	C₂×C₂²⋊C₄	—	43	1	no	—
992	C₂×C₂²⋊C₄	—	43	1	no	—
993	C₂×C₂²⋊C₄	—	43	8	no	—
994	C₂×C₂²⋊C₄	—	43	1	no	—
995	C₂×C₂²⋊C₄	—	43	1	no	—
996	C₂×C₂²⋊C₄	—	43	1	no	—
997	C₂×C₂²⋊C₄	—	43	1	no	—
998	C₂×C₂²⋊C₄	—	43	1	no	—
999	C₂×C₂²⋊C₄	—	43	1	no	—
1000	C₂×C₂²⋊C₄	—	43	1	no	—
1001	C₂×C₂²⋊C₄	—	43	1	no	—
1002	C₂×C₂²⋊C₄	—	43	1	no	—
1003	C₂×C₂²⋊C₄	—	43	1	no	—
1004	C₂×C₂²⋊C₄	—	43	1	no	—
1005	C₂×C₂²⋊C₄	—	43	1	no	—
1006	C₂×C₂²⋊C₄	—	43	1	no	—
1007	C₂×C₂²⋊C₄	—	43	1	no	—
1008	C₂×C₂²⋊C₄	—	43	1	no	—
1009	C₂×C₂²⋊C₄	—	43	1	no	—
1010	C₂×C₂²⋊C₄	—	43	1	no	—
1011	C₂×C₂²⋊C₄	—	43	1	no	—
1012	C₂×C₂²⋊C₄	—	43	1	no	—
1013	C₂×C₂²⋊C₄	—	43	1	no	—
1014	C₂×C₂²⋊C₄	—	43	1	no	—
1015	C₂×C₂²⋊C₄	—	43	1	no	—
1016	C₂×C₂²⋊C₄	—	43	1	no	—
1017	C₂×C₂²⋊C₄	—	86	4	no	—
1018	C₂×C₂²⋊C₄	C₂²×D₄₃	1	1	yes	characteristic
1019	C₂×C₂²⋊C₄	C₂²×D₄₃	1	1	yes	characteristic
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	1	yes	characteristic
1023	C₂×C₂²⋊C₄	C₂²×D₄₃	1	1	yes	characteristic
1024	C₂×C₄²	—	43	1	no	—
1025	C₂×C₄²	—	43	1	no	—
1026	C₂×C₄²	—	43	1	no	—
1027	C₂×C₄²	—	43	1	no	—
1028	C₂×C₄²	—	43	1	no	—
1029	C₂×C₄²	—	43	1	no	—
1030	C₂×C₄²	—	43	1	no	—
1031	C₂×C₄²	—	43	1	no	—
1032	C₂×C₄²	—	43	1	no	—
1033	C₂×C₄²	—	43	1	no	—
1034	C₂×C₄²	—	43	1	no	—
1035	C₂×C₄²	—	43	1	no	—
1036	C₂×C₄²	—	172	2	no	—
1037	C₂×C₄²	—	172	2	no	—
1038	C₂×C₄²	C₂²×D₄₃	1	1	yes	characteristic
1039	C₂×C₄²	C₂²×D₄₃	1	1	yes	characteristic
1040	C₂×C₄²	C₂²×D₄₃	1	1	yes	characteristic
1041	C₂×C₄²	C₂²×D₄₃	1	1	yes	characteristic
1042	#95	—	43	1	no	—
1043	#95	—	43	1	no	—
1044	#95	—	43	1	no	—
1045	#95	—	43	1	no	—
1046	#95	—	43	1	no	—
1047	#95	—	43	1	no	—
1048	#95	—	43	1	no	—
1049	#95	—	43	1	no	—
1050	#95	—	43	1	no	—
1051	#95	—	43	1	no	—
1052	#95	—	43	1	no	—
1053	#95	—	43	1	no	—
1054	#95	—	43	1	no	—
1055	#95	—	43	1	no	—
1056	#95	—	43	1	no	—
1057	#95	—	43	1	no	—
1058	#95	—	43	1	no	—
1059	#95	—	43	1	no	—
1060	#95	—	43	1	no	—
1061	#95	—	43	1	no	—
1062	#95	—	43	1	no	—
1063	#95	—	43	1	no	—
1064	#95	—	43	1	no	—
1065	#95	—	43	1	no	—
1066	#95	—	43	1	no	—
1067	#95	—	43	1	no	—
1068	#95	—	43	1	no	—
1069	#95	—	43	1	no	—
1070	#95	—	43	1	no	—
1071	#95	—	43	1	no	—
1072	#95	—	43	1	no	—
1073	#95	—	43	1	no	—
1074	#95	—	43	1	no	—
1075	#95	—	43	1	no	—
1076	#95	—	43	1	no	—
1077	#95	—	43	1	no	—
1078	#95	C₂²×D₄₃	1	1	yes	characteristic
1079	#95	C₂²×D₄₃	1	1	yes	characteristic
1080	#95	C₂²×D₄₃	1	1	yes	characteristic
1081	#95	C₂²×D₄₃	1	1	yes	characteristic
1082	#95	C₂²×D₄₃	1	1	yes	characteristic
1083	#95	C₂²×D₄₃	1	1	yes	characteristic
1084	#95	C₂²×D₄₃	1	1	yes	characteristic
1085	#95	C₂²×D₄₃	1	1	yes	characteristic
1086	#95	C₂²×D₄₃	1	1	yes	characteristic
1087	#95	C₂²×D₄₃	1	1	yes	characteristic
1088	#95	C₂²×D₄₃	1	1	yes	characteristic
1089	#95	C₂²×D₄₃	1	1	yes	characteristic
1090	C₂⁴	—	43	1	no	—
1091	C₂⁴	—	43	1	no	—
1092	C₂⁴	—	43	4	no	—
1093	C₂⁴	—	86	2	no	—
1094	C₂⁴	—	86	2	no	—
1095	C₂⁴	—	172	1	no	—
1096	C₂⁴	—	172	1	no	—
1097	C₂⁴	—	172	1	no	—
1098	C₂⁴	—	172	1	no	—
1099	C₂⁴	C₂³×D₄₃	1	1	yes	characteristic
1100	C₂×Q₈	—	86	2	no	—
1101	C₂×Q₈	—	86	2	no	—
1102	C₂×Q₈	—	86	2	no	—
1103	C₂×Q₈	—	86	2	no	—
1104	C₂×Q₈	—	86	2	no	—
1105	C₂×Q₈	—	86	2	no	—
1106	C₂×Q₈	—	86	2	no	—
1107	C₂×Q₈	—	86	2	no	—
1108	C₂×Q₈	—	172	1	no	—
1109	C₂×Q₈	—	172	1	no	—
1110	C₂×Q₈	—	172	1	no	—
1111	C₂×Q₈	—	172	1	no	—
1112	C₂²×C₄	—	2	2	no	—
1113	C₂²×C₄	—	4	1	no	—
1114	C₂²×C₄	—	4	1	no	—
1115	C₂²×C₄	—	43	1	no	—
1116	C₂²×C₄	—	43	1	no	—
1117	C₂²×C₄	—	43	1	no	—
1118	C₂²×C₄	—	43	1	no	—
1119	C₂²×C₄	—	43	4	no	—
1120	C₂²×C₄	—	43	4	no	—
1121	C₂²×C₄	—	43	4	no	—
1122	C₂²×C₄	—	43	4	no	—
1123	C₂²×C₄	—	43	1	no	—
1124	C₂²×C₄	—	43	1	no	—
1125	C₂²×C₄	—	43	1	no	—
1126	C₂²×C₄	—	43	1	no	—
1127	C₂²×C₄	—	43	1	no	—
1128	C₂²×C₄	—	43	1	no	—
1129	C₂²×C₄	—	43	1	no	—
1130	C₂²×C₄	—	43	1	no	—
1131	C₂²×C₄	—	43	1	no	—
1132	C₂²×C₄	—	43	1	no	—
1133	C₂²×C₄	—	86	2	no	—
1134	C₂²×C₄	—	86	2	no	—
1135	C₂²×C₄	—	86	2	no	—
1136	C₂²×C₄	—	86	2	no	—
1137	C₂²×C₄	—	86	2	no	—
1138	C₂²×C₄	—	86	2	no	—
1139	C₂²×C₄	—	86	2	no	—
1140	C₂²×C₄	—	86	2	no	—
1141	C₂²×C₄	—	86	2	no	—
1142	C₂²×C₄	—	86	2	no	—
1143	C₂²×C₄	—	86	2	no	—
1144	C₂²×C₄	—	172	1	no	—
1145	C₂²×C₄	—	172	1	no	—
1146	C₂²×C₄	—	172	1	no	—
1147	C₂²×C₄	—	172	1	no	—
1148	C₂²×C₄	—	172	1	no	—
1149	C₂²×C₄	—	172	1	no	—
1150	C₂²×C₄	—	172	1	no	—
1151	C₂²×C₄	—	172	1	no	—
1152	C₂²×C₄	—	172	1	no	—
1153	C₂²×C₄	—	172	1	no	—
1154	C₂²×C₄	—	172	1	no	—
1155	C₂²×C₄	—	172	1	no	—
1156	C₂²×C₄	—	172	16	no	—
1157	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
1158	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
1159	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
1160	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
1161	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
1162	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
1163	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
1164	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
1165	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
1166	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
1167	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
1168	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
1169	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
1170	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
1171	C₄⋊C₄	—	2	2	no	—
1172	C₄⋊C₄	—	2	2	no	—
1173	C₄⋊C₄	—	2	2	no	—
1174	C₄⋊C₄	—	2	2	no	—
1175	C₄⋊C₄	—	4	1	no	—
1176	C₄⋊C₄	—	4	1	no	—
1177	C₄⋊C₄	—	4	1	no	—
1178	C₄⋊C₄	—	4	1	no	—
1179	C₄⋊C₄	—	4	1	no	—
1180	C₄⋊C₄	—	4	1	no	—
1181	C₄⋊C₄	—	4	1	no	—
1182	C₄⋊C₄	—	4	1	no	—
1183	C₄⋊C₄	—	86	2	no	—
1184	C₄⋊C₄	—	86	2	no	—
1185	C₄⋊C₄	—	86	2	no	—
1186	C₄⋊C₄	—	86	2	no	—
1187	C₄⋊C₄	—	86	2	no	—
1188	C₄⋊C₄	—	86	2	no	—
1189	C₄⋊C₄	—	86	2	no	—
1190	C₄⋊C₄	—	86	2	no	—
1191	C₄⋊C₄	—	86	2	no	—
1192	C₄⋊C₄	—	86	2	no	—
1193	C₄⋊C₄	—	86	2	no	—
1194	C₄⋊C₄	—	86	2	no	—
1195	C₄⋊C₄	—	172	1	no	—
1196	C₄⋊C₄	—	172	1	no	—
1197	C₄⋊C₄	—	172	1	no	—
1198	C₄⋊C₄	—	172	1	no	—
1199	C₄⋊C₄	—	172	1	no	—
1200	C₄⋊C₄	—	172	1	no	—
1201	C₄⋊C₄	—	172	1	no	—
1202	C₄⋊C₄	—	172	1	no	—
1203	C₄⋊C₄	—	172	1	no	—
1204	C₄⋊C₄	—	172	1	no	—
1205	C₄⋊C₄	—	172	1	no	—
1206	C₄⋊C₄	—	172	1	no	—
1207	C₄⋊C₄	—	172	1	no	—
1208	C₄⋊C₄	—	172	1	no	—
1209	C₄⋊C₄	—	172	1	no	—
1210	C₄⋊C₄	—	172	1	no	—
1211	C₄⋊C₄	—	172	1	no	—
1212	C₄⋊C₄	—	172	1	no	—
1213	C₄⋊C₄	—	172	1	no	—
1214	C₄⋊C₄	—	172	1	no	—
1215	C₂²⋊C₄	—	2	2	no	—
1216	C₂²⋊C₄	—	4	1	no	—
1217	C₂²⋊C₄	—	4	1	no	—
1218	C₂²⋊C₄	—	4	1	no	—
1219	C₂²⋊C₄	—	4	1	no	—
1220	C₂²⋊C₄	—	43	4	no	—
1221	C₂²⋊C₄	—	43	4	no	—
1222	C₂²⋊C₄	—	43	4	no	—
1223	C₂²⋊C₄	—	86	2	no	—
1224	C₂²⋊C₄	—	86	2	no	—
1225	C₂²⋊C₄	—	86	2	no	—
1226	C₂²⋊C₄	—	86	2	no	—
1227	C₂²⋊C₄	—	86	2	no	—
1228	C₂²⋊C₄	—	86	2	no	—
1229	C₂²⋊C₄	—	86	2	no	—
1230	C₂²⋊C₄	—	86	2	no	—
1231	C₂²⋊C₄	—	86	2	no	—
1232	C₂²⋊C₄	—	86	2	no	—
1233	C₂²⋊C₄	—	86	2	no	—
1234	C₂²⋊C₄	—	172	1	no	—
1235	C₂²⋊C₄	—	172	1	no	—
1236	C₂²⋊C₄	—	172	1	no	—
1237	C₂²⋊C₄	—	172	1	no	—
1238	C₂²⋊C₄	—	172	1	no	—
1239	C₂²⋊C₄	—	172	1	no	—
1240	C₂²⋊C₄	—	172	1	no	—
1241	C₂²⋊C₄	—	172	1	no	—
1242	C₂²⋊C₄	—	172	1	no	—
1243	C₂²⋊C₄	—	172	1	no	—
1244	C₂²⋊C₄	—	172	1	no	—
1245	C₂²⋊C₄	—	172	1	no	—
1246	C₂²⋊C₄	Q₈×D₄₃	1	4	yes	—
1247	C₄²	—	4	1	no	—
1248	C₄²	—	4	1	no	—
1249	C₄²	—	4	1	no	—
1250	C₄²	—	4	1	no	—
1251	C₄²	—	86	2	no	—
1252	C₄²	—	86	2	no	—
1253	C₄²	—	86	2	no	—
1254	C₄²	—	86	2	no	—
1255	C₄²	—	172	1	no	—
1256	C₄²	—	172	1	no	—
1257	C₄²	—	172	1	no	—
1258	C₄²	—	172	1	no	—
1259	C₄²	—	172	1	no	—
1260	C₄²	—	172	1	no	—
1261	C₄²	—	172	1	no	—
1262	C₄²	—	172	1	no	—
1263	C₂³	—	2	1	no	—
1264	C₂³	—	2	1	no	—
1265	C₂³	—	2	1	no	—
1266	C₂³	—	2	1	no	—
1267	C₂³	—	2	1	no	—
1268	C₂³	—	2	1	no	—
1269	C₂³	—	43	2	no	—
1270	C₂³	—	43	2	no	—
1271	C₂³	—	43	2	no	—
1272	C₂³	—	43	2	no	—
1273	C₂³	—	86	8	no	—
1274	C₂³	—	86	1	no	—
1275	C₂³	—	86	1	no	—
1276	C₂³	—	86	1	no	—
1277	C₂³	—	86	1	no	—
1278	C₂³	—	86	1	no	—
1279	C₂³	—	86	1	no	—
1280	C₂³	—	86	1	no	—
1281	C₂³	—	86	1	no	—
1282	C₂³	—	86	1	no	—
1283	C₂³	—	86	1	no	—
1284	C₂³	—	172	4	no	—
1285	C₂³	—	172	4	no	—
1286	C₂³	—	172	4	no	—
1287	C₂³	—	172	4	no	—
1288	C₂³	—	172	4	no	—
1289	C₂³	—	172	4	no	—
1290	C₂³	C₂×Q₈×D₄₃	1	2	yes	—
1291	C₂³	C₂⁴×D₄₃	1	1	yes	characteristic
1292	Q₈	—	344	2	no	—
1293	Q₈	—	344	2	no	—
1294	Q₈	—	172	4	no	—
1295	Q₈	—	172	4	no	—
1296	C₂×C₄	—	2	1	no	—
1297	C₂×C₄	—	2	1	no	—
1298	C₂×C₄	—	2	1	no	—
1299	C₂×C₄	—	2	1	no	—
1300	C₂×C₄	—	2	1	no	—
1301	C₂×C₄	—	2	1	no	—
1302	C₂×C₄	—	2	1	no	—
1303	C₂×C₄	—	2	1	no	—
1304	C₂×C₄	—	2	1	no	—
1305	C₂×C₄	—	2	1	no	—
1306	C₂×C₄	—	2	1	no	—
1307	C₂×C₄	—	2	1	no	—
1308	C₂×C₄	—	2	1	no	—
1309	C₂×C₄	—	2	1	no	—
1310	C₂×C₄	—	2	1	no	—
1311	C₂×C₄	—	2	1	no	—
1312	C₂×C₄	—	2	1	no	—
1313	C₂×C₄	—	2	1	no	—
1314	C₂×C₄	—	2	1	no	—
1315	C₂×C₄	—	2	1	no	—
1316	C₂×C₄	—	2	1	no	—
1317	C₂×C₄	—	2	1	no	—
1318	C₂×C₄	—	2	1	no	—
1319	C₂×C₄	—	2	1	no	—
1320	C₂×C₄	—	2	1	no	—
1321	C₂×C₄	—	2	1	no	—
1322	C₂×C₄	—	2	1	no	—
1323	C₂×C₄	—	2	1	no	—
1324	C₂×C₄	—	2	1	no	—
1325	C₂×C₄	—	2	1	no	—
1326	C₂×C₄	—	2	1	no	—
1327	C₂×C₄	—	2	1	no	—
1328	C₂×C₄	—	2	1	no	—
1329	C₂×C₄	—	2	1	no	—
1330	C₂×C₄	—	2	1	no	—
1331	C₂×C₄	—	2	1	no	—
1332	C₂×C₄	—	2	1	no	—
1333	C₂×C₄	—	2	1	no	—
1334	C₂×C₄	—	4	4	no	—
1335	C₂×C₄	—	43	2	no	—
1336	C₂×C₄	—	43	2	no	—
1337	C₂×C₄	—	43	2	no	—
1338	C₂×C₄	—	43	2	no	—
1339	C₂×C₄	—	43	2	no	—
1340	C₂×C₄	—	43	2	no	—
1341	C₂×C₄	—	86	8	no	—
1342	C₂×C₄	—	86	1	no	—
1343	C₂×C₄	—	86	1	no	—
1344	C₂×C₄	—	86	1	no	—
1345	C₂×C₄	—	86	1	no	—
1346	C₂×C₄	—	86	1	no	—
1347	C₂×C₄	—	86	1	no	—
1348	C₂×C₄	—	86	1	no	—
1349	C₂×C₄	—	86	1	no	—
1350	C₂×C₄	—	86	1	no	—
1351	C₂×C₄	—	86	1	no	—
1352	C₂×C₄	—	86	1	no	—
1353	C₂×C₄	—	86	1	no	—
1354	C₂×C₄	—	86	1	no	—
1355	C₂×C₄	—	86	1	no	—
1356	C₂×C₄	—	86	1	no	—
1357	C₂×C₄	—	86	1	no	—
1358	C₂×C₄	—	86	1	no	—
1359	C₂×C₄	—	86	1	no	—
1360	C₂×C₄	—	86	1	no	—
1361	C₂×C₄	—	86	1	no	—
1362	C₂×C₄	—	86	1	no	—
1363	C₂×C₄	—	86	1	no	—
1364	C₂×C₄	—	86	1	no	—
1365	C₂×C₄	—	86	1	no	—
1366	C₂×C₄	—	86	1	no	—
1367	C₂×C₄	—	86	1	no	—
1368	C₂×C₄	—	86	1	no	—
1369	C₂×C₄	—	86	1	no	—
1370	C₂×C₄	—	86	1	no	—
1371	C₂×C₄	—	86	1	no	—
1372	C₂×C₄	—	86	1	no	—
1373	C₂×C₄	—	86	1	no	—
1374	C₂×C₄	—	86	1	no	—
1375	C₂×C₄	—	86	1	no	—
1376	C₂×C₄	—	86	1	no	—
1377	C₂×C₄	—	86	1	no	—
1378	C₂×C₄	—	172	4	no	—
1379	C₂×C₄	—	172	4	no	—
1380	C₂×C₄	—	172	4	no	—
1381	C₂×C₄	—	172	4	no	—
1382	C₂×C₄	—	172	4	no	—
1383	C₂×C₄	—	172	4	no	—
1384	C₂×C₄	—	172	4	no	—
1385	C₂×C₄	—	172	4	no	—
1386	C₂×C₄	C₂×Q₈×D₄₃	1	2	yes	—
1387	C₂×C₄	C₂×Q₈×D₄₃	1	2	yes	—
1388	C₂×C₄	#41×D₄₃	1	2	yes	—
1389	C₂×C₄	#41×D₄₃	1	2	yes	—
1390	C₂²	—	2	2	no	—
1391	C₂²	—	2	2	no	—
1392	C₂²	—	2	2	no	—
1393	C₂²	—	4	1	no	—
1394	C₂²	—	4	1	no	—
1395	C₂²	—	4	1	no	—
1396	C₂²	—	4	1	no	—
1397	C₂²	—	43	4	no	—
1398	C₂²	—	86	2	no	—
1399	C₂²	—	86	2	no	—
1400	C₂²	—	86	2	no	—
1401	C₂²	—	86	2	no	—
1402	C₂²	—	86	2	no	—
1403	C₂²	—	86	2	no	—
1404	C₂²	—	86	2	no	—
1405	C₂²	—	86	2	no	—
1406	C₂²	—	86	2	no	—
1407	C₂²	—	172	16	no	—
1408	C₂²	—	172	1	no	—
1409	C₂²	—	172	1	no	—
1410	C₂²	—	172	1	no	—
1411	C₂²	—	172	1	no	—
1412	C₂²	C₂²×Q₈×D₄₃	1	1	yes	characteristic
1413	C₂²	C₂×#41×D₄₃	1	1	yes	characteristic
1414	C₂²	C₂×#41×D₄₃	1	1	yes	characteristic
1415	C₂²	H(5,𝔽₂)×D₄₃	1	1	yes	characteristic
1416	C₂²	H(5,𝔽₂)×D₄₃	1	1	yes	characteristic
1417	C₂²	#14583735	1	1	yes	characteristic
1418	C₂²	#14583735	1	1	yes	characteristic
1419	C₄	—	2	2	no	—
1420	C₄	—	2	2	no	—
1421	C₄	—	2	2	no	—
1422	C₄	—	2	2	no	—
1423	C₄	—	4	1	no	—
1424	C₄	—	4	1	no	—
1425	C₄	—	4	1	no	—
1426	C₄	—	4	1	no	—
1427	C₄	—	4	1	no	—
1428	C₄	—	4	1	no	—
1429	C₄	—	4	1	no	—
1430	C₄	—	4	1	no	—
1431	C₄	—	4	1	no	—
1432	C₄	—	4	1	no	—
1433	C₄	—	43	4	no	—
1434	C₄	—	86	2	no	—
1435	C₄	—	86	2	no	—
1436	C₄	—	86	2	no	—
1437	C₄	—	172	1	no	—
1438	C₄	—	172	1	no	—
1439	C₄	—	172	1	no	—
1440	C₄	—	172	1	no	—
1441	C₄	—	172	1	no	—
1442	C₄	—	172	1	no	—
1443	C₄	—	172	1	no	—
1444	C₄	—	172	1	no	—
1445	C₄	—	172	1	no	—
1446	C₄	—	172	1	no	—
1447	C₂	—	4	2	no	—
1448	C₂	—	86	4	no	—
1449	C₂	—	172	2	no	—
1450	C₂	#533×D₄₃	1	1	yes	characteristic
1451	C₂	#538×D₄₃	1	1	yes	characteristic
1452	C₂	#19147978	1	1	yes	characteristic
1453	C₂	#19148394	1	1	yes	characteristic
1454	C₂	#19148394	1	1	yes	characteristic
1455	C₂	#19148428	1	1	yes	characteristic
1456	C₂	#19148441	1	1	yes	characteristic

	subgroup	G/H
center, Frattini	C₂³	C₂⁴×D₄₃
commutator, socle, cosocle	C₂³×C₄₃	C₂⁵
Fitting	C₄₃×#2587	C₂
prime radical	C₂⁴×D₄₃	C₂³
hypercenter	#2587	D₄₃
hypocenter	C₄₃	#35014
LCS	G ▷ C₂³×C₄₃ ▷ C₄₃
UCS	C₁ ◁ C₂³ ◁ #2587

Complements

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

N	H ≅ G/N	type
1. #19142946	C₂	semidirect
2. #19142946	C₂	semidirect
5. #19140566	C₂	semidirect
6. #19140564	C₂	semidirect
9. #19140048	C₂	semidirect
10. #19140046	C₂	semidirect
11. #19140045	C₂	semidirect
12. #19140043	C₂	semidirect
13. #19140023	C₂	semidirect
14. #19140021	C₂	semidirect
15. #19140010	C₂	semidirect
16. #19139027	C₂	semidirect
17. #19139021	C₂	semidirect
18. #19138966	C₂	semidirect
19. #19138964	C₂	semidirect
20. #19138193	C₂	semidirect
21. #19138187	C₂	semidirect
22. #19138117	C₂	semidirect
23. #19138115	C₂	semidirect
24. #19137329	C₂	semidirect
25. #19137322	C₂	semidirect
28. #19137129	C₂	semidirect
29. C₄×#13063303	C₂	semidirect
31. C₄₃×#2587	C₂	semidirect
33. C₂×#13063324	C₂²	semidirect
34. C₂×#13063324	C₂²	semidirect
43. C₂×C₄×Dic₈₆	C₂²	semidirect
44. C₂×#13063290	C₂²	semidirect
49. #14582841	C₂²	semidirect
50. #14582841	C₂²	semidirect
51. #14582840	C₂²	semidirect
52. #14582840	C₂²	semidirect
53. #14582839	C₂²	semidirect
54. #14582838	C₂²	semidirect
55. #14582837	C₂²	semidirect
60. #14582833	C₂²	semidirect
61. #14582833	C₂²	semidirect
62. #14582832	C₂²	semidirect
63. #14582832	C₂²	semidirect
64. #14582831	C₂²	semidirect
65. #14582830	C₂²	semidirect
66. #14582829	C₂²	semidirect
77. #14582805	C₂²	semidirect
78. #14582804	C₂²	semidirect
79. #14582803	C₂²	semidirect
80. #14582803	C₂²	semidirect
81. #14582803	C₂²	semidirect
82. #14582803	C₂²	semidirect
83. #14582803	C₂²	semidirect
84. #14582803	C₂²	semidirect
85. #14582803	C₂²	semidirect
86. #14582803	C₂²	semidirect
87. #14582798	C₂²	semidirect
88. #14582797	C₂²	semidirect
89. #14582797	C₂²	semidirect
90. #14582796	C₂²	semidirect
91. #14582796	C₂²	semidirect
92. #14582794	C₂²	semidirect
93. #14582794	C₂²	semidirect
94. #14582794	C₂²	semidirect
95. #14582794	C₂²	semidirect
96. #14582794	C₂²	semidirect
97. #14582794	C₂²	semidirect
112. #14582786	C₂²	semidirect
113. #14582786	C₂²	semidirect
114. #14582785	C₂²	semidirect
115. #14582785	C₂²	semidirect
116. #14582783	C₂²	semidirect
117. #14582783	C₂²	semidirect
118. #14582781	C₂²	semidirect
119. #14582781	C₂²	semidirect
120. #14582780	C₂²	semidirect
121. #14582780	C₂²	semidirect
136. #14582768	C₂²	semidirect
137. #14582768	C₂²	semidirect
154. C₄⋊C₄×Dic₄₃	C₂²	semidirect
155. C₄×Dic₄₃⋊C₄	C₂²	semidirect
156. C₄×Dic₄₃⋊C₄	C₂²	semidirect
157. #14582750	C₂²	semidirect
158. #14582750	C₂²	semidirect
172. C₄₃×#400	C₂²	semidirect
173. C₄₃×#398	C₂²	semidirect
176. C₄₃×#389	C₂²	semidirect
177. C₄₃×#389	C₂²	semidirect
178. C₄₃×#389	C₂²	semidirect
181. C₄₃×#387	C₂²	semidirect
182. C₄₃×#387	C₂²	semidirect
185. C₄×C₄⋊C₄×C₄₃	C₂²	semidirect
275. C₂²⋊C₄×D₄₃	Q₈	semidirect
734. #2587	D₄₃	semidirect
784. #400	C₂×D₄₃	semidirect
796. #398	C₂×D₄₃	semidirect
830. #389	C₂×D₄₃	semidirect
831. #389	C₂×D₄₃	semidirect
832. #389	C₂×D₄₃	semidirect
859. #387	C₂×D₄₃	semidirect
860. #387	C₂×D₄₃	semidirect
900. C₄×C₄⋊C₄	C₂×D₄₃	semidirect
915. C₄₃	#35014	semidirect

Maximal subgroups

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

subgroup	index
#19142946	2
#19142881	2
#19140566	2
#19140564	2
#19140405	2
#19140048	2
#19140046	2
#19140045	2
#19140043	2
#19140023	2
#19140021	2
#19140010	2
#19139027	2
#19139021	2
#19138966	2
#19138964	2
#19138193	2
#19138187	2
#19138117	2
#19138115	2
#19137329	2
#19137322	2
#19137189	2
#19137129	2
C₄×#13063303	2
C₄×C₂²⋊C₄×D₄₃	2
C₄₃×#2587	2
#35014	43