Subgroups — #25259123

Order 11008.

2500 conjugacy classes of subgroups.

The subgroup lattice has 1476 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×#14583562	C₂	1	1	yes	maximal, characteristic
2	#19137683	C₂	1	1	yes	maximal, characteristic, complemented
3	#19137682	C₂	1	1	yes	maximal, characteristic, complemented
4	#19137679	C₂	1	1	yes	maximal, characteristic, complemented
5	#19137677	C₂	1	1	yes	maximal, characteristic, complemented
6	#19137673	C₂	1	1	yes	maximal, characteristic, complemented
7	#19137650	C₂	1	1	yes	maximal, characteristic, complemented
8	#19137603	C₂	1	1	yes	maximal, characteristic, complemented
9	#19137601	C₂	1	1	yes	maximal, characteristic, complemented
10	#19137549	C₂	1	1	yes	maximal, characteristic, complemented
11	#19137502	C₂	1	1	yes	maximal, characteristic
12	#19137501	C₂	1	1	yes	maximal, characteristic
13	#19137493	C₂	1	1	yes	maximal, characteristic
14	C₂²⋊C₄×Dic₈₆	C₂	1	1	yes	maximal, characteristic, complemented
15	#19137429	C₂	1	1	yes	maximal, characteristic, complemented
16	#19137340	C₂	1	1	yes	maximal, characteristic, complemented
17	#19137338	C₂	1	1	yes	maximal, characteristic, complemented
18	#19137330	C₂	1	1	yes	maximal, characteristic, complemented
19	#19137326	C₂	1	1	yes	maximal, characteristic, complemented
20	#19137324	C₂	1	1	yes	maximal, characteristic, complemented
21	#19137322	C₂	1	1	yes	maximal, characteristic, complemented
22	C₄×#13063324	C₂	1	1	yes	maximal, characteristic, complemented
23	C₄×#13063303	C₂	1	1	yes	maximal, characteristic, complemented
24	#19137127	C₂	1	1	yes	maximal, characteristic, complemented
25	#19137068	C₂	1	1	yes	maximal, characteristic, complemented
26	C₂×#14582803	C₂	1	1	yes	maximal, characteristic, complemented
27	#391×D₄₃	C₂	1	1	yes	maximal, characteristic, complemented
28	#19136954	C₂	1	1	yes	maximal, characteristic
29	#19136954	C₂	1	1	yes	maximal, characteristic
30	C₄×(C₂²⋊D₄₃)⋊C₄	C₂	1	1	yes	maximal, characteristic
31	C₄₃×#2368	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂³×Dic₈₆	C₂²	1	1	yes	characteristic
33	C₂²×Q₈×D₄₃	C₂²	1	1	yes	characteristic
34	#14583562	C₄	1	16	yes	complemented
35	C₂×#13063324	C₂²	1	1	yes	characteristic
36	C₂×#13063324	C₂²	1	1	yes	characteristic
37	C₂×#13063323	C₂²	1	1	yes	characteristic
38	C₂×#13063305	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
44	C₂×C₄×Dic₈₆	C₂²	1	1	yes	characteristic
45	C₂×C₄×Dic₈₆	C₂²	1	1	yes	characteristic
46	C₂×#13063290	C₂²	1	1	yes	characteristic
47	C₂×#13063290	C₂²	1	1	yes	characteristic
48	C₂×C₄×C₂²⋊D₄₃	C₂²	1	1	yes	characteristic
49	C₂×C₄×C₂²⋊D₄₃	C₂²	1	1	yes	characteristic
50	C₂×C₄×C₂²⋊D₄₃	C₂²	1	1	yes	characteristic
51	C₂×(C₂²⋊D₄₃)⋊C₄	C₂²	1	1	yes	characteristic
52	C₂×(C₂²⋊D₄₃)⋊C₄	C₂²	1	1	yes	characteristic
53	C₂×(C₂²⋊D₄₃)⋊C₄	C₂²	1	1	yes	characteristic
54	C₂×(C₂²⋊D₄₃)⋊C₄	C₂²	1	1	yes	characteristic
55	C₂²×Dic₄₃⋊C₄	C₂²	1	1	yes	characteristic
56	C₂×C₄⋊C₄×D₄₃	C₂²	1	1	yes	characteristic
57	C₂²×C₄×Dic₄₃	C₂²	1	1	yes	characteristic
58	C₂×C₄²×D₄₃	C₂²	1	1	yes	characteristic
59	#14582806	C₂²	1	1	yes	characteristic
60	#14582806	C₂²	1	1	yes	characteristic
61	#14582805	C₂²	1	1	yes	characteristic
62	#14582805	C₂²	1	1	yes	characteristic
63	#14582805	C₂²	1	1	yes	characteristic
64	#14582804	C₂²	1	1	yes	characteristic
65	#14582803	C₂²	1	1	yes	characteristic
66	#14582803	C₂²	1	1	yes	characteristic
67	#14582803	C₂²	1	1	yes	characteristic
68	#14582803	C₂²	1	1	yes	characteristic
69	#14582803	C₂²	1	1	yes	characteristic
70	#14582803	C₂²	1	1	yes	characteristic
71	#14582803	C₂²	1	1	yes	characteristic
72	#14582803	C₂²	1	1	yes	characteristic
73	#14582803	C₂²	1	1	yes	characteristic
74	#14582803	C₂²	1	1	yes	characteristic
75	#14582803	C₂²	1	1	yes	characteristic
76	#14582803	C₂²	1	1	yes	characteristic
77	#14582803	C₂²	1	1	yes	characteristic
78	#14582803	C₂²	1	1	yes	characteristic
79	#14582803	C₂²	1	1	yes	characteristic
80	#14582803	C₂²	1	1	yes	characteristic
81	#14582798	C₂²	1	1	yes	characteristic
82	#14582798	C₂²	1	1	yes	characteristic
83	#14582797	C₂²	1	1	yes	characteristic
84	#14582796	C₂²	1	1	yes	characteristic
85	#14582796	C₂²	1	1	yes	characteristic
86	#14582796	C₂²	1	1	yes	characteristic
87	#14582796	C₂²	1	1	yes	characteristic
88	#14582796	C₂²	1	1	yes	characteristic
89	#14582796	C₂²	1	1	yes	characteristic
90	#14582795	C₂²	1	1	yes	characteristic
91	#14582794	C₂²	1	1	yes	characteristic
92	#14582794	C₂²	1	1	yes	characteristic
93	#14582794	C₂²	1	1	yes	characteristic
94	#14582794	C₂²	1	1	yes	characteristic
95	#14582786	C₂²	1	1	yes	characteristic
96	#14582786	C₂²	1	1	yes	characteristic
97	#14582785	C₂²	1	1	yes	characteristic
98	#14582785	C₂²	1	1	yes	characteristic
99	#14582785	C₂²	1	1	yes	characteristic
100	#14582785	C₂²	1	1	yes	characteristic
101	#14582784	C₂²	1	1	yes	characteristic
102	#14582784	C₂²	1	1	yes	characteristic
103	#14582783	C₂²	1	1	yes	characteristic
104	#14582783	C₂²	1	1	yes	characteristic
105	#14582782	C₂²	1	1	yes	characteristic
106	#14582782	C₂²	1	1	yes	characteristic
107	#14582781	C₂²	1	1	yes	characteristic
108	#14582781	C₂²	1	1	yes	characteristic
109	#14582780	C₂²	1	1	yes	characteristic
110	#14582780	C₂²	1	1	yes	characteristic
111	#14582774	C₂²	1	1	yes	characteristic
112	#14582774	C₂²	1	1	yes	characteristic
113	#14582773	C₂²	1	1	yes	characteristic
114	#14582773	C₂²	1	1	yes	characteristic
115	#14582773	C₂²	1	1	yes	characteristic
116	#14582773	C₂²	1	1	yes	characteristic
117	#14582772	C₂²	1	1	yes	characteristic
118	#14582772	C₂²	1	1	yes	characteristic
119	#14582770	C₂²	1	1	yes	characteristic
120	#14582770	C₂²	1	1	yes	characteristic
121	#14582768	C₂²	1	1	yes	characteristic
122	#14582763	C₂²	1	1	yes	characteristic
123	#14582763	C₂²	1	1	yes	characteristic
124	#14582759	C₂²	1	1	yes	characteristic
125	#14582758	C₂²	1	1	yes	characteristic
126	#14582758	C₂²	1	1	yes	characteristic
127	#14582757	C₂²	1	1	yes	characteristic
128	#14582757	C₂²	1	1	yes	characteristic
129	#14582756	C₂²	1	1	yes	characteristic
130	C₄⋊C₄×Dic₄₃	C₂²	1	1	yes	characteristic
131	C₄⋊C₄×Dic₄₃	C₂²	1	1	yes	characteristic
132	C₄×Dic₄₃⋊C₄	C₂²	1	1	yes	characteristic
133	C₄×Dic₄₃⋊C₄	C₂²	1	1	yes	characteristic
134	C₄×Dic₄₃⋊C₄	C₂²	1	1	yes	characteristic
135	C₄×Dic₄₃⋊C₄	C₂²	1	1	yes	characteristic
136	C₄×Dic₄₃⋊C₄	C₂²	1	1	yes	characteristic
137	C₄×Dic₄₃⋊C₄	C₂²	1	1	yes	characteristic
138	C₄×Dic₄₃⋊C₄	C₂²	1	1	yes	characteristic
139	C₄×C₄⋊Dic₄₃	C₂²	1	1	yes	characteristic
140	#14582750	C₂²	1	1	yes	characteristic
141	#14582750	C₂²	1	1	yes	characteristic
142	#14582750	C₂²	1	1	yes	characteristic
143	#14582750	C₂²	1	1	yes	characteristic
144	#14582750	C₂²	1	1	yes	characteristic
145	#14582750	C₂²	1	1	yes	characteristic
146	#14582750	C₂²	1	1	yes	characteristic
147	#14582750	C₂²	1	1	yes	characteristic
148	C₂²⋊C₄×Dic₄₃	C₂²	1	1	yes	characteristic
149	C₂²⋊C₄×Dic₄₃	C₂²	1	1	yes	characteristic
150	C₂²⋊C₄×Dic₄₃	C₂²	1	1	yes	characteristic
151	C₂²⋊C₄×Dic₄₃	C₂²	1	1	yes	characteristic
152	C₂²⋊C₄×Dic₄₃	C₂²	1	1	yes	characteristic
153	C₂²⋊C₄×Dic₄₃	C₂²	1	1	yes	characteristic
154	C₄×(C₂×D₄₃)⋊C₄	C₂²	1	1	yes	characteristic
155	C₄×(C₂×D₄₃)⋊C₄	C₂²	1	1	yes	characteristic
156	C₄×(C₂×D₄₃)⋊C₄	C₂²	1	1	yes	characteristic
157	C₄×(C₂×D₄₃)⋊C₄	C₂²	1	1	yes	characteristic
158	C₄×(C₂×D₄₃)⋊C₄	C₂²	1	1	yes	characteristic
159	#14582746	C₂²	1	1	yes	characteristic
160	#14582746	C₂²	1	1	yes	characteristic
161	#14582746	C₂²	1	1	yes	characteristic
162	#14582746	C₂²	1	1	yes	characteristic
163	#14582744	C₂²	1	1	yes	characteristic
164	#14582744	C₂²	1	1	yes	characteristic
165	C₂×C₄₃⋊#95	C₂²	1	1	yes	characteristic
166	C₂×C₄₃⋊#95	C₂²	1	1	yes	characteristic
167	C₂×C₄₃⋊#95	C₂²	1	1	yes	characteristic
168	#95×D₄₃	C₂²	1	1	yes	characteristic
169	#95×D₄₃	C₂²	1	1	yes	characteristic
170	#95×D₄₃	C₂²	1	1	yes	characteristic
171	#95×D₄₃	C₂²	1	1	yes	characteristic
172	C₄²×Dic₄₃	C₂²	1	1	yes	characteristic
173	C₂×C₂²⋊Q₈×C₄₃	C₂²	1	1	yes	characteristic
174	C₄₃×#391	C₂²	1	1	yes	characteristic
175	C₄₃×#391	C₂²	1	1	yes	characteristic
176	C₄₃×#387	C₂²	1	1	yes	characteristic
177	C₄₃×#387	C₂²	1	1	yes	characteristic
178	C₄₃×#387	C₂²	1	1	yes	characteristic
179	C₄₃×#387	C₂²	1	1	yes	characteristic
180	C₄₃×#385	C₂²	1	1	yes	characteristic
181	C₄₃×#385	C₂²	1	1	yes	characteristic
182	C₄×C₄⋊C₄×C₄₃	C₂²	1	1	yes	characteristic
183	C₄×C₄⋊C₄×C₄₃	C₂²	1	1	yes	characteristic
184	C₄×C₂²⋊C₄×C₄₃	C₂²	1	1	yes	characteristic
185	C₄×C₂²⋊C₄×C₄₃	C₂²	1	1	yes	characteristic
186	C₄×C₂²⋊C₄×C₄₃	C₂²	1	1	yes	characteristic
187	C₂×#95×C₄₃	C₂²	1	1	yes	characteristic
188	C₂²×Dic₈₆	—	4	2	no	—
189	C₂²×Dic₈₆	—	4	2	no	—
190	C₂²×Dic₈₆	C₂×C₄	1	8	yes	complemented
191	C₂²×Dic₈₆	C₂³	1	1	yes	characteristic
192	C₂²×Dic₈₆	C₂³	1	1	yes	characteristic
193	C₂²×Dic₈₆	C₂³	1	1	yes	characteristic
194	C₂²×Dic₈₆	C₂³	1	1	yes	characteristic
195	C₂²×Dic₈₆	C₂³	1	1	yes	characteristic
196	C₂²×Dic₈₆	C₂³	1	1	yes	characteristic
197	C₂×Q₈×D₄₃	—	4	2	no	—
198	C₂×Q₈×D₄₃	—	4	2	no	—
199	C₂×Q₈×D₄₃	C₂×C₄	1	8	yes	complemented
200	C₂²×C₂²⋊D₄₃	C₂³	1	1	yes	characteristic
201	C₂³×Dic₄₃	C₂³	1	1	yes	characteristic
202	C₂³×Dic₄₃	C₂³	1	1	yes	characteristic
203	C₂³×Dic₄₃	C₂³	1	1	yes	characteristic
204	C₂³×Dic₄₃	C₂³	1	1	yes	characteristic
205	C₂²×C₄×D₄₃	C₂³	1	1	yes	characteristic
206	C₂²×C₄×D₄₃	C₂³	1	1	yes	characteristic
207	C₂²×C₄×D₄₃	C₂³	1	1	yes	characteristic
208	C₂²×C₄×D₄₃	C₂³	1	1	yes	characteristic
209	C₂²×C₄×D₄₃	C₂³	1	1	yes	characteristic
210	C₂²×C₄×D₄₃	C₂³	1	1	yes	characteristic
211	C₂²×C₄×D₄₃	C₂³	1	1	yes	characteristic
212	#13063324	C₂×C₄	1	8	yes	complemented
213	#13063324	C₂×C₄	1	8	yes	complemented
214	#13063323	C₂×C₄	1	8	yes	complemented
215	#13063305	C₂×C₄	1	8	yes	complemented
216	#13063303	C₂×C₄	1	8	yes	complemented
217	#13063303	C₂×C₄	1	8	yes	complemented
218	#13063302	C₂×C₄	1	8	yes	complemented
219	#13063302	C₂×C₄	1	8	yes	complemented
220	C₄×Dic₈₆	—	4	2	no	—
221	C₄×Dic₈₆	—	4	2	no	—
222	C₄×Dic₈₆	—	4	2	no	—
223	#13063290	—	4	2	no	—
224	#13063290	C₂×C₄	1	8	yes	complemented
225	C₄×C₂²⋊D₄₃	—	2	4	no	—
226	C₄×C₂²⋊D₄₃	—	2	4	no	—
227	C₄×C₂²⋊D₄₃	C₂×C₄	1	8	yes	—
228	(C₂²⋊D₄₃)⋊C₄	—	2	4	no	—
229	(C₂²⋊D₄₃)⋊C₄	C₂×C₄	1	8	yes	—
230	(C₂²⋊D₄₃)⋊C₄	C₂×C₄	1	8	yes	—
231	(C₂²⋊D₄₃)⋊C₄	Q₈	1	8	yes	complemented
232	C₂×C₄⋊Dic₄₃	C₂³	1	1	yes	characteristic
233	C₂×C₄⋊Dic₄₃	C₂³	1	1	yes	characteristic
234	C₂×C₄⋊Dic₄₃	C₂³	1	1	yes	characteristic
235	C₂×C₄⋊Dic₄₃	C₂³	1	1	yes	characteristic
236	C₂×C₄⋊Dic₄₃	C₂³	1	1	yes	characteristic
237	C₂×C₄⋊Dic₄₃	C₂³	1	1	yes	characteristic
238	C₂×C₄⋊Dic₄₃	C₂³	1	1	yes	characteristic
239	C₂×C₄⋊Dic₄₃	C₂³	1	1	yes	characteristic
240	C₂×Dic₄₃⋊C₄	—	4	2	no	—
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×Dic₄₃⋊C₄	C₂³	1	1	yes	characteristic
249	C₂×Dic₄₃⋊C₄	C₂³	1	1	yes	characteristic
250	C₂×Dic₄₃⋊C₄	C₂³	1	1	yes	characteristic
251	C₂×Dic₄₃⋊C₄	C₂³	1	1	yes	characteristic
252	C₂×Dic₄₃⋊C₄	C₂³	1	1	yes	characteristic
253	C₂×Dic₄₃⋊C₄	C₂³	1	1	yes	characteristic
254	C₂×Dic₄₃⋊C₄	C₂³	1	1	yes	characteristic
255	C₂×Dic₄₃⋊C₄	C₂³	1	1	yes	characteristic
256	C₂×Dic₄₃⋊C₄	C₂³	1	1	yes	characteristic
257	C₂×Dic₄₃⋊C₄	C₂³	1	1	yes	characteristic
258	C₂×Dic₄₃⋊C₄	C₂³	1	1	yes	characteristic
259	C₂×Dic₄₃⋊C₄	C₂³	1	1	yes	characteristic
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	1	yes	characteristic
264	C₄⋊C₄×D₄₃	—	4	2	no	—
265	C₂×C₂²⋊Dic₄₃	C₂³	1	1	yes	characteristic
266	C₂×C₂²⋊Dic₄₃	C₂³	1	1	yes	characteristic
267	C₂×C₂²⋊Dic₄₃	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	C₂×(C₂×D₄₃)⋊C₄	C₂³	1	1	yes	characteristic
275	C₂×C₄×Dic₄₃	—	4	2	no	—
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	C₂×C₄×Dic₄₃	C₂³	1	1	yes	characteristic
289	C₂×C₄×Dic₄₃	C₂³	1	1	yes	characteristic
290	C₂×C₄×Dic₄₃	C₂³	1	1	yes	characteristic
291	C₂×C₄×Dic₄₃	C₂³	1	1	yes	characteristic
292	C₂×C₄×Dic₄₃	C₂³	1	1	yes	characteristic
293	C₂×C₄×Dic₄₃	C₂³	1	1	yes	characteristic
294	C₂×C₄×Dic₄₃	C₂³	1	1	yes	characteristic
295	C₂×C₄×Dic₄₃	C₂³	1	1	yes	characteristic
296	C₂×C₄×Dic₄₃	C₂³	1	1	yes	characteristic
297	C₂×C₄×Dic₄₃	C₂³	1	1	yes	characteristic
298	C₂×C₄×Dic₄₃	C₂³	1	1	yes	characteristic
299	C₄²×D₄₃	—	4	2	no	—
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	C₄₃⋊#95	C₂³	1	1	yes	characteristic
327	C₄₃⋊#95	C₂³	1	1	yes	characteristic
328	C₄₃⋊#95	C₂³	1	1	yes	characteristic
329	C₄₃⋊#95	C₂³	1	1	yes	characteristic
330	C₄₃⋊#95	C₂³	1	1	yes	characteristic
331	C₄₃⋊#95	C₂³	1	1	yes	characteristic
332	C₄₃⋊#95	C₂³	1	1	yes	characteristic
333	C₄₃⋊#95	C₂³	1	1	yes	characteristic
334	C₄₃⋊#95	C₂³	1	1	yes	characteristic
335	C₄₃⋊#95	C₂³	1	1	yes	characteristic
336	C₄₃⋊#95	C₂³	1	1	yes	characteristic
337	C₄₃⋊#95	C₂³	1	1	yes	characteristic
338	C₂²×Q₈×C₄₃	C₂³	1	1	yes	characteristic
339	C₂³×C₄×C₄₃	C₂³	1	1	yes	characteristic
340	C₂³×C₄×C₄₃	C₂³	1	1	yes	characteristic
341	C₂³×C₄×C₄₃	C₂³	1	1	yes	characteristic
342	C₂²⋊Q₈×C₄₃	C₂×C₄	1	8	yes	complemented
343	C₂×C₄⋊C₄×C₄₃	C₂³	1	1	yes	characteristic
344	C₂×C₄⋊C₄×C₄₃	C₂³	1	1	yes	characteristic
345	C₂×C₄⋊C₄×C₄₃	C₂³	1	1	yes	characteristic
346	C₂×C₄⋊C₄×C₄₃	C₂³	1	1	yes	characteristic
347	C₂×C₄⋊C₄×C₄₃	C₂³	1	1	yes	characteristic
348	C₂×C₄⋊C₄×C₄₃	C₂³	1	1	yes	characteristic
349	C₂×C₄⋊C₄×C₄₃	C₂³	1	1	yes	characteristic
350	C₂×C₂²⋊C₄×C₄₃	C₂³	1	1	yes	characteristic
351	C₂×C₂²⋊C₄×C₄₃	C₂³	1	1	yes	characteristic
352	C₂×C₂²⋊C₄×C₄₃	C₂³	1	1	yes	characteristic
353	C₂×C₂²⋊C₄×C₄₃	C₂³	1	1	yes	characteristic
354	C₂×C₄²×C₄₃	C₂³	1	1	yes	characteristic
355	C₂×C₄²×C₄₃	C₂³	1	1	yes	characteristic
356	C₂×C₄²×C₄₃	C₂³	1	1	yes	characteristic
357	C₂×C₄²×C₄₃	C₂³	1	1	yes	characteristic
358	C₂×C₄²×C₄₃	C₂³	1	1	yes	characteristic
359	C₂×C₄²×C₄₃	C₂³	1	1	yes	characteristic
360	#95×C₄₃	C₂³	1	1	yes	characteristic
361	#95×C₄₃	C₂³	1	1	yes	characteristic
362	#95×C₄₃	C₂³	1	1	yes	characteristic
363	#95×C₄₃	C₂³	1	1	yes	characteristic
364	#95×C₄₃	C₂³	1	1	yes	characteristic
365	#95×C₄₃	C₂³	1	1	yes	characteristic
366	#95×C₄₃	C₂³	1	1	yes	characteristic
367	#95×C₄₃	C₂³	1	1	yes	characteristic
368	#95×C₄₃	C₂³	1	1	yes	characteristic
369	#95×C₄₃	C₂³	1	1	yes	characteristic
370	#95×C₄₃	C₂³	1	1	yes	characteristic
371	#95×C₄₃	C₂³	1	1	yes	characteristic
372	#95×C₄₃	C₂³	1	1	yes	characteristic
373	#95×C₄₃	C₂³	1	1	yes	characteristic
374	C₂⁴×C₄₃	C₂⁴	1	1	yes	characteristic
375	C₂³×D₄₃	C₂⁴	1	1	yes	characteristic
376	C₂×Q₈×C₄₃	—	4	1	no	—
377	C₂×Q₈×C₄₃	—	4	1	no	—
378	C₂×Q₈×C₄₃	C₂²×C₄	1	4	yes	—
379	C₂²×C₄×C₄₃	—	2	2	no	—
380	C₂²×C₄×C₄₃	—	2	2	no	—
381	C₂²×C₄×C₄₃	—	2	2	no	—
382	C₂²×C₄×C₄₃	—	4	1	no	—
383	C₂²×C₄×C₄₃	—	4	1	no	—
384	C₂²×C₄×C₄₃	—	4	1	no	—
385	C₂²×C₄×C₄₃	—	4	1	no	—
386	C₂²×C₄×C₄₃	—	4	1	no	—
387	C₂²×C₄×C₄₃	C₂²×C₄	1	4	yes	—
388	C₂²×C₄×C₄₃	C₂⁴	1	1	yes	characteristic
389	C₂²×C₄×C₄₃	C₂⁴	1	1	yes	characteristic
390	C₂²×C₄×C₄₃	C₂⁴	1	1	yes	characteristic
391	C₂²×C₄×C₄₃	C₂⁴	1	1	yes	characteristic
392	C₂²×C₄×C₄₃	C₂⁴	1	1	yes	characteristic
393	C₂²×C₄×C₄₃	C₂⁴	1	1	yes	characteristic
394	C₂²×C₄×C₄₃	C₂⁴	1	1	yes	characteristic
395	C₂²×C₄×C₄₃	C₂⁴	1	1	yes	characteristic
396	C₂²×C₄×C₄₃	C₂⁴	1	1	yes	characteristic
397	C₂²×C₄×C₄₃	C₂⁴	1	1	yes	characteristic
398	C₂²×C₄×C₄₃	C₂⁴	1	1	yes	characteristic
399	C₂²×C₄×C₄₃	C₂⁴	1	1	yes	characteristic
400	C₂²×C₄×C₄₃	C₂⁴	1	1	yes	characteristic
401	C₂²×C₄×C₄₃	C₂⁴	1	1	yes	characteristic
402	C₂×C₂²⋊D₄₃	C₂²×C₄	1	4	yes	—
403	C₂×C₂²⋊D₄₃	C₂×Q₈	1	4	yes	—
404	C₂×C₂²⋊D₄₃	#41	1	4	yes	—
405	C₂²×Dic₄₃	—	2	2	no	—
406	C₂²×Dic₄₃	—	2	2	no	—
407	C₂²×Dic₄₃	—	2	2	no	—
408	C₂²×Dic₄₃	—	4	1	no	—
409	C₂²×Dic₄₃	—	4	1	no	—
410	C₂²×Dic₄₃	—	4	1	no	—
411	C₂²×Dic₄₃	—	4	1	no	—
412	C₂²×Dic₄₃	—	4	1	no	—
413	C₂²×Dic₄₃	—	4	1	no	—
414	C₂²×Dic₄₃	C₂²×C₄	1	4	yes	—
415	C₂²×Dic₄₃	C₂²×C₄	1	4	yes	—
416	C₂²×Dic₄₃	C₂×Q₈	1	4	yes	complemented
417	C₂²×Dic₄₃	C₂⁴	1	1	yes	characteristic
418	C₂²×Dic₄₃	C₂⁴	1	1	yes	characteristic
419	C₂²×Dic₄₃	C₂⁴	1	1	yes	characteristic
420	C₂²×Dic₄₃	C₂⁴	1	1	yes	characteristic
421	C₂²×Dic₄₃	C₂⁴	1	1	yes	characteristic
422	C₂²×Dic₄₃	C₂⁴	1	1	yes	characteristic
423	C₂²×Dic₄₃	C₂⁴	1	1	yes	characteristic
424	C₂²×Dic₄₃	C₂⁴	1	1	yes	characteristic
425	C₂²×Dic₄₃	C₂⁴	1	1	yes	characteristic
426	C₂²×Dic₄₃	C₂⁴	1	1	yes	characteristic
427	C₂²×Dic₄₃	C₂⁴	1	1	yes	characteristic
428	C₂²×Dic₄₃	C₂⁴	1	1	yes	characteristic
429	C₂²×Dic₄₃	C₂⁴	1	1	yes	characteristic
430	C₂²×Dic₄₃	C₂⁴	1	1	yes	characteristic
431	C₂²×Dic₄₃	C₂⁴	1	1	yes	characteristic
432	Q₈×D₄₃	—	4	16	no	—
433	C₂×C₄×D₄₃	—	2	2	no	—
434	C₂×C₄×D₄₃	—	2	2	no	—
435	C₂×C₄×D₄₃	—	2	2	no	—
436	C₂×C₄×D₄₃	—	2	2	no	—
437	C₂×C₄×D₄₃	—	2	2	no	—
438	C₂×C₄×D₄₃	—	2	2	no	—
439	C₂×C₄×D₄₃	—	4	1	no	—
440	C₂×C₄×D₄₃	—	4	1	no	—
441	C₂×C₄×D₄₃	—	4	1	no	—
442	C₂×C₄×D₄₃	—	4	1	no	—
443	C₂×C₄×D₄₃	—	4	1	no	—
444	C₂×C₄×D₄₃	—	4	1	no	—
445	C₂×C₄×D₄₃	—	4	1	no	—
446	C₂×C₄×D₄₃	—	4	1	no	—
447	C₂×C₄×D₄₃	—	4	1	no	—
448	C₂×C₄×D₄₃	—	4	1	no	—
449	C₂×C₄×D₄₃	—	4	1	no	—
450	C₂×C₄×D₄₃	C₂²×C₄	1	4	yes	—
451	C₂×C₄×D₄₃	C₂²×C₄	1	4	yes	—
452	C₂×C₄×D₄₃	C₂²×C₄	1	4	yes	—
453	C₂×C₄×D₄₃	C₂×Q₈	1	4	yes	complemented
454	C₂×Dic₈₆	—	2	2	no	—
455	C₂×Dic₈₆	—	2	2	no	—
456	C₂×Dic₈₆	—	2	2	no	—
457	C₂×Dic₈₆	—	2	2	no	—
458	C₂×Dic₈₆	—	2	2	no	—
459	C₂×Dic₈₆	—	2	2	no	—
460	C₂×Dic₈₆	—	4	16	no	—
461	C₂×Dic₈₆	—	4	1	no	—
462	C₂×Dic₈₆	—	4	1	no	—
463	C₂×Dic₈₆	—	4	1	no	—
464	C₂×Dic₈₆	—	4	1	no	—
465	C₂×Dic₈₆	—	4	1	no	—
466	C₂×Dic₈₆	—	4	1	no	—
467	C₂×Dic₈₆	C₂²×C₄	1	4	yes	—
468	C₂×Dic₈₆	C₂²×C₄	1	4	yes	—
469	C₂×Dic₈₆	C₂²×C₄	1	4	yes	—
470	C₂×Dic₈₆	C₂²×C₄	1	4	yes	—
471	C₂×Dic₈₆	C₂²×C₄	1	4	yes	—
472	C₂×Dic₈₆	C₂²×C₄	1	4	yes	—
473	C₄⋊C₄×C₄₃	—	2	2	no	—
474	C₄⋊C₄×C₄₃	—	4	1	no	—
475	C₄⋊C₄×C₄₃	—	4	1	no	—
476	C₄⋊C₄×C₄₃	—	4	1	no	—
477	C₄⋊C₄×C₄₃	C₂²×C₄	1	4	yes	—
478	C₄⋊C₄×C₄₃	C₂²×C₄	1	4	yes	—
479	C₄⋊C₄×C₄₃	C₂²×C₄	1	4	yes	—
480	C₂²⋊C₄×C₄₃	—	2	2	no	—
481	C₂²⋊C₄×C₄₃	C₂²×C₄	1	4	yes	—
482	C₂²⋊C₄×C₄₃	C₂²×C₄	1	4	yes	—
483	C₂²⋊C₄×C₄₃	C₂×Q₈	1	4	yes	complemented
484	C₄²×C₄₃	—	2	2	no	—
485	C₄²×C₄₃	—	4	1	no	—
486	C₄²×C₄₃	—	4	1	no	—
487	C₄²×C₄₃	—	4	1	no	—
488	C₄²×C₄₃	—	4	1	no	—
489	C₄²×C₄₃	—	4	1	no	—
490	C₂²⋊Dic₄₃	—	2	2	no	—
491	C₂²⋊Dic₄₃	—	2	2	no	—
492	C₂²⋊Dic₄₃	C₂²×C₄	1	4	yes	—
493	(C₂×D₄₃)⋊C₄	—	2	2	no	—
494	(C₂×D₄₃)⋊C₄	—	2	2	no	—
495	(C₂×D₄₃)⋊C₄	—	2	2	no	—
496	(C₂×D₄₃)⋊C₄	C₂²×C₄	1	4	yes	—
497	(C₂×D₄₃)⋊C₄	C₂²×C₄	1	4	yes	—
498	(C₂×D₄₃)⋊C₄	C₂²×C₄	1	4	yes	—
499	(C₂×D₄₃)⋊C₄	C₂×Q₈	1	4	yes	complemented
500	C₄⋊Dic₄₃	—	4	1	no	—
501	C₄⋊Dic₄₃	—	4	1	no	—
502	C₄⋊Dic₄₃	—	4	1	no	—
503	C₄⋊Dic₄₃	—	4	1	no	—
504	C₄⋊Dic₄₃	—	4	1	no	—
505	C₄⋊Dic₄₃	—	4	1	no	—
506	C₄⋊Dic₄₃	C₂²×C₄	1	4	yes	—
507	C₄⋊Dic₄₃	C₂²×C₄	1	4	yes	—
508	Dic₄₃⋊C₄	—	2	2	no	—
509	Dic₄₃⋊C₄	—	2	2	no	—
510	Dic₄₃⋊C₄	—	2	2	no	—
511	Dic₄₃⋊C₄	—	2	2	no	—
512	Dic₄₃⋊C₄	—	2	2	no	—
513	Dic₄₃⋊C₄	—	2	2	no	—
514	Dic₄₃⋊C₄	—	2	2	no	—
515	Dic₄₃⋊C₄	—	2	2	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	Dic₄₃⋊C₄	—	4	1	no	—
523	Dic₄₃⋊C₄	C₂²×C₄	1	4	yes	—
524	Dic₄₃⋊C₄	C₂²×C₄	1	4	yes	—
525	Dic₄₃⋊C₄	C₂²×C₄	1	4	yes	—
526	Dic₄₃⋊C₄	C₂²×C₄	1	4	yes	—
527	Dic₄₃⋊C₄	C₂²×C₄	1	4	yes	—
528	Dic₄₃⋊C₄	C₂²×C₄	1	4	yes	—
529	Dic₄₃⋊C₄	C₂²×C₄	1	4	yes	—
530	Dic₄₃⋊C₄	C₂×Q₈	1	4	yes	complemented
531	C₄×Dic₄₃	—	2	2	no	—
532	C₄×Dic₄₃	—	2	2	no	—
533	C₄×Dic₄₃	—	2	2	no	—
534	C₄×Dic₄₃	—	2	2	no	—
535	C₄×Dic₄₃	—	2	2	no	—
536	C₄×Dic₄₃	—	2	2	no	—
537	C₄×Dic₄₃	—	2	2	no	—
538	C₄×Dic₄₃	—	4	1	no	—
539	C₄×Dic₄₃	—	4	1	no	—
540	C₄×Dic₄₃	—	4	1	no	—
541	C₄×Dic₄₃	—	4	1	no	—
542	C₄×Dic₄₃	—	4	1	no	—
543	C₄×Dic₄₃	—	4	1	no	—
544	C₄×Dic₄₃	—	4	1	no	—
545	C₄×Dic₄₃	—	4	1	no	—
546	C₄×Dic₄₃	—	4	1	no	—
547	C₄×Dic₄₃	—	4	1	no	—
548	C₄×Dic₄₃	—	4	1	no	—
549	C₄×Dic₄₃	—	4	1	no	—
550	C₄×Dic₄₃	C₂²×C₄	1	4	yes	—
551	C₄×Dic₄₃	C₂²×C₄	1	4	yes	—
552	C₄×Dic₄₃	C₂²×C₄	1	4	yes	—
553	C₄×Dic₄₃	C₂×Q₈	1	4	yes	complemented
554	C₂³×C₄₃	—	2	1	no	—
555	C₂³×C₄₃	—	2	1	no	—
556	C₂³×C₄₃	—	2	1	no	—
557	C₂³×C₄₃	—	2	1	no	—
558	C₂³×C₄₃	C₂³×C₄	1	2	yes	—
559	C₂³×C₄₃	C₂²×Q₈	1	2	yes	—
560	C₂³×C₄₃	C₂×#41	1	2	yes	—
561	C₂³×C₄₃	C₂⁵	1	1	yes	characteristic
562	C₂²×D₄₃	—	2	1	no	—
563	C₂²×D₄₃	—	2	1	no	—
564	C₂²×D₄₃	—	2	1	no	—
565	C₂²×D₄₃	—	2	1	no	—
566	C₂²×D₄₃	C₂³×C₄	1	2	yes	—
567	C₂²×D₄₃	C₂²×Q₈	1	2	yes	—
568	C₂²×D₄₃	C₂×#41	1	2	yes	—
569	Q₈×C₄₃	—	4	4	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	—	2	1	no	—
602	C₂×C₄×C₄₃	—	2	1	no	—
603	C₂×C₄×C₄₃	—	4	4	no	—
604	C₂×C₄×C₄₃	—	4	4	no	—
605	C₂×C₄×C₄₃	—	8	2	no	—
606	C₂×C₄×C₄₃	C₂³×C₄	1	2	yes	—
607	C₂×C₄×C₄₃	C₂³×C₄	1	2	yes	—
608	C₂×C₄×C₄₃	C₂³×C₄	1	2	yes	—
609	C₂×C₄×C₄₃	C₂³×C₄	1	2	yes	—
610	C₂×C₄×C₄₃	C₂³×C₄	1	2	yes	—
611	C₂×C₄×C₄₃	C₂³×C₄	1	2	yes	—
612	C₂×C₄×C₄₃	C₂²×Q₈	1	2	yes	—
613	C₂×C₄×C₄₃	C₂²×Q₈	1	2	yes	—
614	C₂×C₄×C₄₃	2₋¹⁺⁴	1	2	yes	—
615	C₂²⋊D₄₃	C₄×Q₈	1	16	yes	complemented
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	8	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	—	2	1	no	—
643	C₂×Dic₄₃	—	2	1	no	—
644	C₂×Dic₄₃	—	2	1	no	—
645	C₂×Dic₄₃	—	2	1	no	—
646	C₂×Dic₄₃	—	2	1	no	—
647	C₂×Dic₄₃	—	2	1	no	—
648	C₂×Dic₄₃	—	2	1	no	—
649	C₂×Dic₄₃	—	4	4	no	—
650	C₂×Dic₄₃	—	4	4	no	—
651	C₂×Dic₄₃	—	8	2	no	—
652	C₂×Dic₄₃	C₂³×C₄	1	2	yes	—
653	C₂×Dic₄₃	C₂³×C₄	1	2	yes	—
654	C₂×Dic₄₃	C₂³×C₄	1	2	yes	—
655	C₂×Dic₄₃	C₂³×C₄	1	2	yes	—
656	C₂×Dic₄₃	C₂³×C₄	1	2	yes	—
657	C₂×Dic₄₃	C₂³×C₄	1	2	yes	—
658	C₂×Dic₄₃	C₂³×C₄	1	2	yes	—
659	C₂×Dic₄₃	C₂²×Q₈	1	2	yes	—
660	C₂×Dic₄₃	C₂²×Q₈	1	2	yes	—
661	C₂×Dic₄₃	C₂²×Q₈	1	2	yes	—
662	C₂×Dic₄₃	C₂×#41	1	2	yes	—
663	C₂×Dic₄₃	H(5,𝔽₂)	1	2	yes	—
664	C₂×Dic₄₃	H(5,𝔽₂)	1	2	yes	—
665	C₄×D₄₃	—	2	8	no	—
666	C₄×D₄₃	—	4	4	no	—
667	C₄×D₄₃	—	4	4	no	—
668	C₄×D₄₃	—	4	4	no	—
669	C₄×D₄₃	—	4	4	no	—
670	C₄×D₄₃	—	8	2	no	—
671	C₄×D₄₃	—	8	2	no	—
672	Dic₈₆	—	2	8	no	—
673	Dic₈₆	—	2	8	no	—
674	Dic₈₆	—	2	8	no	—
675	Dic₈₆	—	4	4	no	—
676	Dic₈₆	—	4	4	no	—
677	Dic₈₆	—	4	4	no	—
678	#34334	—	43	1	no	maximal, Sylow
679	C₂²×C₄₃	—	2	2	no	—
680	C₂²×C₄₃	—	2	2	no	—
681	C₂²×C₄₃	—	2	2	no	—
682	C₂²×C₄₃	—	2	2	no	—
683	C₂²×C₄₃	—	2	2	no	—
684	C₂²×C₄₃	—	2	2	no	—
685	C₂²×C₄₃	C₂×C₄×Q₈	1	4	yes	—
686	C₂²×C₄₃	C₂⁴×C₄	1	1	yes	characteristic
687	C₂²×C₄₃	C₂³×Q₈	1	1	yes	characteristic
688	C₂²×C₄₃	C₂²×#41	1	1	yes	characteristic
689	C₂²×C₄₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
690	C₂²×C₄₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
691	C₂²×C₄₃	C₂×2₋¹⁺⁴	1	1	yes	characteristic
692	C₂²×C₄₃	#585	1	1	yes	characteristic
693	C₂×D₄₃	—	2	2	no	—
694	C₂×D₄₃	—	2	2	no	—
695	C₂×D₄₃	—	2	2	no	—
696	C₂×D₄₃	—	2	2	no	—
697	C₂×D₄₃	—	2	2	no	—
698	C₂×D₄₃	—	2	2	no	—
699	C₂×D₄₃	C₂×C₄×Q₈	1	4	yes	—
700	C₄×C₄₃	—	2	2	no	—
701	C₄×C₄₃	—	2	2	no	—
702	C₄×C₄₃	—	2	2	no	—
703	C₄×C₄₃	—	2	2	no	—
704	C₄×C₄₃	—	2	2	no	—
705	C₄×C₄₃	—	2	2	no	—
706	C₄×C₄₃	—	2	2	no	—
707	C₄×C₄₃	—	2	2	no	—
708	C₄×C₄₃	—	2	2	no	—
709	C₄×C₄₃	—	4	1	no	—
710	C₄×C₄₃	—	4	1	no	—
711	C₄×C₄₃	—	4	1	no	—
712	C₄×C₄₃	—	4	1	no	—
713	C₄×C₄₃	—	4	1	no	—
714	Dic₄₃	—	2	2	no	—
715	Dic₄₃	—	2	2	no	—
716	Dic₄₃	—	2	2	no	—
717	Dic₄₃	—	2	2	no	—
718	Dic₄₃	—	2	2	no	—
719	Dic₄₃	—	2	2	no	—
720	Dic₄₃	—	2	2	no	—
721	Dic₄₃	—	4	1	no	—
722	Dic₄₃	—	4	1	no	—
723	Dic₄₃	—	4	1	no	—
724	Dic₄₃	—	4	1	no	—
725	Dic₄₃	—	4	1	no	—
726	Dic₄₃	—	4	1	no	—
727	Dic₄₃	C₂×C₄×Q₈	1	4	yes	—
728	Dic₄₃	#518	1	4	yes	—
729	C₂×D₄×Q₈	—	43	1	no	—
730	#2369	—	43	1	no	—
731	#2369	—	43	1	no	—
732	#2368	—	43	1	no	—
733	#2368	—	43	1	no	—
734	#2368	—	43	1	no	—
735	#2368	D₄₃	1	1	yes	characteristic, complemented
736	#2365	—	43	1	no	—
737	#2360	—	43	1	no	—
738	#2360	—	43	1	no	—
739	#2355	—	43	1	no	—
740	#2349	—	43	1	no	—
741	#2349	—	43	1	no	—
742	D₄×C₄⋊C₄	—	43	1	no	—
743	Q₈×C₂²⋊C₄	—	43	1	no	—
744	Q₈×C₂²⋊C₄	—	43	1	no	—
745	#2331	—	43	1	no	—
746	#2331	—	43	1	no	—
747	#2329	—	43	1	no	—
748	#2329	—	43	1	no	—
749	#2329	—	43	1	no	—
750	#2329	—	43	1	no	—
751	C₄×C₄⋊Q₈	—	43	1	no	—
752	C₄×C₂²⋊Q₈	—	43	1	no	—
753	C₄×C₂²⋊Q₈	—	43	1	no	—
754	#2295	—	43	1	no	—
755	C₂×#391	—	43	1	no	—
756	C₂×#391	—	43	1	no	—
757	#2275	—	43	1	no	—
758	#2275	—	43	1	no	—
759	C₄²×D₄	—	43	1	no	—
760	C₂×C₄₃	—	2	4	no	—
761	C₂×C₄₃	C₂²×C₄×Q₈	1	1	yes	characteristic
762	C₂×C₄₃	C₂×#518	1	1	yes	characteristic
763	C₂×C₄₃	C₄×2₋¹⁺⁴	1	1	yes	characteristic
764	C₂×C₄₃	#3501	1	1	yes	characteristic
765	C₂×C₄₃	#3503	1	1	yes	characteristic
766	C₂×C₄₃	#3514	1	1	yes	characteristic
767	C₂×C₄₃	#3520	1	1	yes	characteristic
768	D₄₃	—	2	4	no	—
769	C₂³×Q₈	—	43	1	no	—
770	C₂³×Q₈	—	43	1	no	—
771	D₄×Q₈	—	43	16	no	—
772	C₂×C₄⋊Q₈	—	43	1	no	—
773	C₂×C₄⋊Q₈	—	43	1	no	—
774	C₂×C₄⋊Q₈	—	43	1	no	—
775	C₂×C₂²⋊Q₈	—	43	1	no	—
776	C₂×C₂²⋊Q₈	—	43	1	no	—
777	C₂×C₂²⋊Q₈	—	43	1	no	—
778	C₂×C₂²⋊Q₈	—	43	1	no	—
779	C₂×C₂²⋊Q₈	—	43	1	no	—
780	C₂×C₂²⋊Q₈	C₂×D₄₃	1	1	yes	characteristic
781	C₂×C₄×Q₈	—	43	1	no	—
782	C₂×C₄×Q₈	—	43	1	no	—
783	C₂×C₄×Q₈	—	43	1	no	—
784	C₂×C₄×Q₈	—	43	1	no	—
785	C₂×C₄×Q₈	—	43	1	no	—
786	C₂×C₄×D₄	—	43	1	no	—
787	C₂×C₄×D₄	—	43	1	no	—
788	C₂×C₄×D₄	—	43	1	no	—
789	C₂×C₄×D₄	—	43	1	no	—
790	C₂×C₄×D₄	—	43	1	no	—
791	C₂×C₄×D₄	—	43	1	no	—
792	C₂×C₄×D₄	—	43	1	no	—
793	C₂²×C₄⋊C₄	—	43	1	no	—
794	C₂²×C₄⋊C₄	—	43	1	no	—
795	C₂²×C₄²	—	43	1	no	—
796	C₂²×C₄²	—	43	1	no	—
797	#391	—	43	1	no	—
798	#391	—	43	1	no	—
799	#391	—	43	1	no	—
800	#391	—	43	1	no	—
801	#391	—	43	1	no	—
802	#391	—	43	1	no	—
803	#391	—	43	1	no	—
804	#391	—	43	1	no	—
805	#391	—	43	1	no	—
806	#391	—	43	1	no	—
807	#391	—	43	1	no	—
808	#391	—	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	#391	C₂×D₄₃	1	1	yes	characteristic
820	#391	C₂×D₄₃	1	1	yes	characteristic
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	—	43	1	no	—
831	#389	—	43	1	no	—
832	#389	—	43	1	no	—
833	#389	—	43	1	no	—
834	#389	—	43	1	no	—
835	#387	—	43	1	no	—
836	#387	—	43	1	no	—
837	#387	—	43	1	no	—
838	#387	—	43	1	no	—
839	#387	—	43	1	no	—
840	#387	—	43	1	no	—
841	#387	—	43	1	no	—
842	#387	—	43	1	no	—
843	#387	—	43	1	no	—
844	#387	—	43	1	no	—
845	#387	—	43	1	no	—
846	#387	—	43	1	no	—
847	#387	—	43	1	no	—
848	#387	—	43	1	no	—
849	#387	—	43	1	no	—
850	#387	—	43	1	no	—
851	#387	C₂×D₄₃	1	1	yes	characteristic
852	#387	C₂×D₄₃	1	1	yes	characteristic
853	#387	C₂×D₄₃	1	1	yes	characteristic
854	#387	C₂×D₄₃	1	1	yes	characteristic
855	#385	—	43	1	no	—
856	#385	—	43	1	no	—
857	#385	—	43	1	no	—
858	#385	—	43	1	no	—
859	#385	—	43	1	no	—
860	#385	—	43	1	no	—
861	#385	—	43	1	no	—
862	#385	—	43	1	no	—
863	#385	—	43	1	no	—
864	#385	—	43	1	no	—
865	#385	C₂×D₄₃	1	1	yes	characteristic
866	#385	C₂×D₄₃	1	1	yes	characteristic
867	#384	—	43	1	no	—
868	#382	—	43	1	no	—
869	#382	—	43	1	no	—
870	#380	—	43	1	no	—
871	#380	—	43	1	no	—
872	#380	—	43	1	no	—
873	#380	—	43	1	no	—
874	#380	—	43	1	no	—
875	#380	—	43	1	no	—
876	C₄×C₄⋊C₄	—	43	1	no	—
877	C₄×C₄⋊C₄	—	43	1	no	—
878	C₄×C₄⋊C₄	—	43	1	no	—
879	C₄×C₄⋊C₄	—	43	1	no	—
880	C₄×C₄⋊C₄	—	43	1	no	—
881	C₄×C₄⋊C₄	—	43	1	no	—
882	C₄×C₄⋊C₄	—	43	1	no	—
883	C₄×C₄⋊C₄	—	43	1	no	—
884	C₄×C₄⋊C₄	—	43	1	no	—
885	C₄×C₄⋊C₄	—	43	1	no	—
886	C₄×C₄⋊C₄	—	43	1	no	—
887	C₄×C₄⋊C₄	—	43	1	no	—
888	C₄×C₄⋊C₄	—	43	1	no	—
889	C₄×C₄⋊C₄	—	43	1	no	—
890	C₄×C₄⋊C₄	—	43	1	no	—
891	C₄×C₄⋊C₄	—	43	1	no	—
892	C₄×C₄⋊C₄	—	43	1	no	—
893	C₄×C₄⋊C₄	—	43	1	no	—
894	C₄×C₄⋊C₄	C₂×D₄₃	1	1	yes	characteristic
895	C₄×C₄⋊C₄	C₂×D₄₃	1	1	yes	characteristic
896	C₄×C₂²⋊C₄	—	43	1	no	—
897	C₄×C₂²⋊C₄	—	43	1	no	—
898	C₄×C₂²⋊C₄	—	43	1	no	—
899	C₄×C₂²⋊C₄	—	43	1	no	—
900	C₄×C₂²⋊C₄	—	43	1	no	—
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	C₂×D₄₃	1	1	yes	characteristic
912	C₄×C₂²⋊C₄	C₂×D₄₃	1	1	yes	characteristic
913	C₄×C₂²⋊C₄	C₂×D₄₃	1	1	yes	characteristic
914	#376	—	43	1	no	—
915	#376	—	43	1	no	—
916	C₂×#95	—	43	1	no	—
917	C₂×#95	—	43	1	no	—
918	C₂×#95	—	43	1	no	—
919	C₂×#95	—	43	1	no	—
920	C₂×#95	—	43	1	no	—
921	C₂×#95	—	43	1	no	—
922	C₂×#95	—	43	1	no	—
923	C₂×#95	C₂×D₄₃	1	1	yes	characteristic
924	C₄³	—	43	1	no	—
925	C₄₃	#34334	1	1	yes	characteristic, complemented, Sylow
926	C₂²×Q₈	—	43	8	no	—
927	C₂²×Q₈	—	43	8	no	—
928	C₂²×Q₈	—	43	1	no	—
929	C₂²×Q₈	—	43	1	no	—
930	C₂²×Q₈	—	43	1	no	—
931	C₂²×Q₈	—	43	1	no	—
932	C₂²×Q₈	—	43	1	no	—
933	C₂²×Q₈	—	43	1	no	—
934	C₂²×Q₈	—	172	2	no	—
935	C₂²×Q₈	—	172	2	no	—
936	C₂²×Q₈	—	172	2	no	—
937	C₂²×Q₈	—	172	2	no	—
938	C₂²×Q₈	C₂²×D₄₃	1	1	yes	characteristic
939	C₂²×D₄	—	43	1	no	—
940	C₂³×C₄	—	43	1	no	—
941	C₂³×C₄	—	43	1	no	—
942	C₂³×C₄	—	43	1	no	—
943	C₂³×C₄	—	43	1	no	—
944	C₂³×C₄	—	43	1	no	—
945	C₂³×C₄	—	43	1	no	—
946	C₂³×C₄	—	43	1	no	—
947	C₂³×C₄	—	43	1	no	—
948	C₂³×C₄	—	43	1	no	—
949	C₂³×C₄	—	43	1	no	—
950	C₂³×C₄	—	43	1	no	—
951	C₂³×C₄	C₂²×D₄₃	1	1	yes	characteristic
952	C₂³×C₄	C₂²×D₄₃	1	1	yes	characteristic
953	C₂³×C₄	C₂²×D₄₃	1	1	yes	characteristic
954	C₄⋊Q₈	—	43	8	no	—
955	C₄⋊Q₈	—	43	8	no	—
956	C₄⋊Q₈	—	43	8	no	—
957	C₂²⋊Q₈	—	43	8	no	—
958	C₂²⋊Q₈	—	43	8	no	—
959	C₂²⋊Q₈	—	43	8	no	—
960	C₂²⋊Q₈	—	43	8	no	—
961	C₂²⋊Q₈	—	43	8	no	—
962	C₂²⋊Q₈	C₄×D₄₃	1	8	yes	complemented
963	C₄×Q₈	—	43	8	no	—
964	C₄×Q₈	—	172	2	no	—
965	C₄×Q₈	—	172	2	no	—
966	C₄×Q₈	—	172	2	no	—
967	C₄×Q₈	—	172	2	no	—
968	C₄×D₄	—	43	8	no	—
969	C₄×D₄	—	43	8	no	—
970	C₄×D₄	—	43	8	no	—
971	C₄×D₄	—	43	8	no	—
972	C₄×D₄	—	86	4	no	—
973	C₄×D₄	—	86	4	no	—
974	C₄×D₄	—	86	4	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	—	43	1	no	—
979	C₂×C₄⋊C₄	—	43	1	no	—
980	C₂×C₄⋊C₄	—	43	1	no	—
981	C₂×C₄⋊C₄	—	43	1	no	—
982	C₂×C₄⋊C₄	—	43	1	no	—
983	C₂×C₄⋊C₄	—	43	1	no	—
984	C₂×C₄⋊C₄	—	43	1	no	—
985	C₂×C₄⋊C₄	—	43	1	no	—
986	C₂×C₄⋊C₄	—	43	1	no	—
987	C₂×C₄⋊C₄	—	43	1	no	—
988	C₂×C₄⋊C₄	—	43	1	no	—
989	C₂×C₄⋊C₄	—	43	1	no	—
990	C₂×C₄⋊C₄	—	43	1	no	—
991	C₂×C₄⋊C₄	—	43	1	no	—
992	C₂×C₄⋊C₄	—	43	1	no	—
993	C₂×C₄⋊C₄	—	43	1	no	—
994	C₂×C₄⋊C₄	—	43	1	no	—
995	C₂×C₄⋊C₄	—	43	1	no	—
996	C₂×C₄⋊C₄	—	43	1	no	—
997	C₂×C₄⋊C₄	—	43	1	no	—
998	C₂×C₄⋊C₄	—	43	1	no	—
999	C₂×C₄⋊C₄	—	43	1	no	—
1000	C₂×C₄⋊C₄	—	43	1	no	—
1001	C₂×C₄⋊C₄	—	43	1	no	—
1002	C₂×C₄⋊C₄	—	43	1	no	—
1003	C₂×C₄⋊C₄	—	43	1	no	—
1004	C₂×C₄⋊C₄	—	43	1	no	—
1005	C₂×C₄⋊C₄	—	43	1	no	—
1006	C₂×C₄⋊C₄	—	172	2	no	—
1007	C₂×C₄⋊C₄	—	172	2	no	—
1008	C₂×C₄⋊C₄	C₂²×D₄₃	1	1	yes	characteristic
1009	C₂×C₄⋊C₄	C₂²×D₄₃	1	1	yes	characteristic
1010	C₂×C₄⋊C₄	C₂²×D₄₃	1	1	yes	characteristic
1011	C₂×C₄⋊C₄	C₂²×D₄₃	1	1	yes	characteristic
1012	C₂×C₄⋊C₄	C₂²×D₄₃	1	1	yes	characteristic
1013	C₂×C₄⋊C₄	C₂²×D₄₃	1	1	yes	characteristic
1014	C₂×C₄⋊C₄	C₂²×D₄₃	1	1	yes	characteristic
1015	C₂×C₂²⋊C₄	—	43	1	no	—
1016	C₂×C₂²⋊C₄	—	43	1	no	—
1017	C₂×C₂²⋊C₄	—	43	1	no	—
1018	C₂×C₂²⋊C₄	—	43	1	no	—
1019	C₂×C₂²⋊C₄	—	43	1	no	—
1020	C₂×C₂²⋊C₄	—	43	1	no	—
1021	C₂×C₂²⋊C₄	—	43	1	no	—
1022	C₂×C₂²⋊C₄	—	43	1	no	—
1023	C₂×C₂²⋊C₄	—	43	1	no	—
1024	C₂×C₂²⋊C₄	—	43	1	no	—
1025	C₂×C₂²⋊C₄	C₂²×D₄₃	1	1	yes	characteristic
1026	C₂×C₂²⋊C₄	C₂²×D₄₃	1	1	yes	characteristic
1027	C₂×C₂²⋊C₄	C₂²×D₄₃	1	1	yes	characteristic
1028	C₂×C₂²⋊C₄	C₂²×D₄₃	1	1	yes	characteristic
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	—	43	1	no	—
1037	C₂×C₄²	—	43	1	no	—
1038	C₂×C₄²	—	43	1	no	—
1039	C₂×C₄²	—	43	1	no	—
1040	C₂×C₄²	—	43	1	no	—
1041	C₂×C₄²	—	43	1	no	—
1042	C₂×C₄²	—	43	1	no	—
1043	C₂×C₄²	—	43	1	no	—
1044	C₂×C₄²	—	43	1	no	—
1045	C₂×C₄²	—	43	1	no	—
1046	C₂×C₄²	—	43	1	no	—
1047	C₂×C₄²	—	43	1	no	—
1048	C₂×C₄²	—	43	1	no	—
1049	C₂×C₄²	—	43	1	no	—
1050	C₂×C₄²	—	43	1	no	—
1051	C₂×C₄²	—	43	1	no	—
1052	C₂×C₄²	—	172	2	no	—
1053	C₂×C₄²	—	172	2	no	—
1054	C₂×C₄²	C₂²×D₄₃	1	1	yes	characteristic
1055	C₂×C₄²	C₂²×D₄₃	1	1	yes	characteristic
1056	C₂×C₄²	C₂²×D₄₃	1	1	yes	characteristic
1057	C₂×C₄²	C₂²×D₄₃	1	1	yes	characteristic
1058	C₂×C₄²	C₂²×D₄₃	1	1	yes	characteristic
1059	C₂×C₄²	C₂²×D₄₃	1	1	yes	characteristic
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	—	43	1	no	—
1079	#95	—	43	1	no	—
1080	#95	—	43	1	no	—
1081	#95	—	43	1	no	—
1082	#95	—	43	1	no	—
1083	#95	—	43	1	no	—
1084	#95	—	43	1	no	—
1085	#95	—	43	1	no	—
1086	#95	—	43	1	no	—
1087	#95	—	43	1	no	—
1088	#95	—	43	1	no	—
1089	#95	—	43	1	no	—
1090	#95	—	43	1	no	—
1091	#95	—	43	1	no	—
1092	#95	—	43	1	no	—
1093	#95	—	43	1	no	—
1094	#95	—	43	1	no	—
1095	#95	—	43	1	no	—
1096	#95	—	43	1	no	—
1097	#95	—	43	1	no	—
1098	#95	C₂²×D₄₃	1	1	yes	characteristic
1099	#95	C₂²×D₄₃	1	1	yes	characteristic
1100	#95	C₂²×D₄₃	1	1	yes	characteristic
1101	#95	C₂²×D₄₃	1	1	yes	characteristic
1102	#95	C₂²×D₄₃	1	1	yes	characteristic
1103	#95	C₂²×D₄₃	1	1	yes	characteristic
1104	#95	C₂²×D₄₃	1	1	yes	characteristic
1105	#95	C₂²×D₄₃	1	1	yes	characteristic
1106	#95	C₂²×D₄₃	1	1	yes	characteristic
1107	#95	C₂²×D₄₃	1	1	yes	characteristic
1108	#95	C₂²×D₄₃	1	1	yes	characteristic
1109	#95	C₂²×D₄₃	1	1	yes	characteristic
1110	#95	C₂²×D₄₃	1	1	yes	characteristic
1111	#95	C₂²×D₄₃	1	1	yes	characteristic
1112	C₂⁴	—	43	1	no	—
1113	C₂⁴	C₂³×D₄₃	1	1	yes	characteristic
1114	C₂×Q₈	—	4	1	no	—
1115	C₂×Q₈	—	4	1	no	—
1116	C₂×Q₈	—	43	4	no	—
1117	C₂×Q₈	—	43	4	no	—
1118	C₂×Q₈	—	43	4	no	—
1119	C₂×Q₈	—	43	4	no	—
1120	C₂×Q₈	—	43	4	no	—
1121	C₂×Q₈	—	43	4	no	—
1122	C₂×Q₈	—	86	2	no	—
1123	C₂×Q₈	—	86	2	no	—
1124	C₂×Q₈	—	86	2	no	—
1125	C₂×Q₈	—	86	2	no	—
1126	C₂×Q₈	—	86	2	no	—
1127	C₂×Q₈	—	86	2	no	—
1128	C₂×Q₈	—	172	1	no	—
1129	C₂×Q₈	—	172	1	no	—
1130	C₂×Q₈	—	172	1	no	—
1131	C₂×Q₈	—	172	1	no	—
1132	C₂×Q₈	—	172	1	no	—
1133	C₂×Q₈	—	172	1	no	—
1134	C₂×Q₈	—	172	16	no	—
1135	C₂×Q₈	—	172	16	no	—
1136	C₂×Q₈	C₂×C₄×D₄₃	1	4	yes	—
1137	C₂×D₄	—	43	4	no	—
1138	C₂×D₄	—	43	4	no	—
1139	C₂×D₄	—	43	4	no	—
1140	C₂²×C₄	—	2	2	no	—
1141	C₂²×C₄	—	2	2	no	—
1142	C₂²×C₄	—	2	2	no	—
1143	C₂²×C₄	—	4	1	no	—
1144	C₂²×C₄	—	4	1	no	—
1145	C₂²×C₄	—	4	1	no	—
1146	C₂²×C₄	—	4	1	no	—
1147	C₂²×C₄	—	4	1	no	—
1148	C₂²×C₄	—	43	1	no	—
1149	C₂²×C₄	—	43	1	no	—
1150	C₂²×C₄	—	43	4	no	—
1151	C₂²×C₄	—	43	1	no	—
1152	C₂²×C₄	—	43	1	no	—
1153	C₂²×C₄	—	43	1	no	—
1154	C₂²×C₄	—	43	1	no	—
1155	C₂²×C₄	—	43	1	no	—
1156	C₂²×C₄	—	43	1	no	—
1157	C₂²×C₄	—	43	1	no	—
1158	C₂²×C₄	—	43	4	no	—
1159	C₂²×C₄	—	43	4	no	—
1160	C₂²×C₄	—	43	4	no	—
1161	C₂²×C₄	—	43	4	no	—
1162	C₂²×C₄	—	43	4	no	—
1163	C₂²×C₄	—	43	4	no	—
1164	C₂²×C₄	—	43	1	no	—
1165	C₂²×C₄	—	43	1	no	—
1166	C₂²×C₄	—	43	1	no	—
1167	C₂²×C₄	—	43	1	no	—
1168	C₂²×C₄	—	43	1	no	—
1169	C₂²×C₄	—	43	1	no	—
1170	C₂²×C₄	—	86	2	no	—
1171	C₂²×C₄	—	86	2	no	—
1172	C₂²×C₄	—	86	2	no	—
1173	C₂²×C₄	—	86	2	no	—
1174	C₂²×C₄	—	86	2	no	—
1175	C₂²×C₄	—	86	2	no	—
1176	C₂²×C₄	—	86	2	no	—
1177	C₂²×C₄	—	86	2	no	—
1178	C₂²×C₄	—	86	2	no	—
1179	C₂²×C₄	—	172	1	no	—
1180	C₂²×C₄	—	172	1	no	—
1181	C₂²×C₄	—	172	1	no	—
1182	C₂²×C₄	—	172	1	no	—
1183	C₂²×C₄	—	172	1	no	—
1184	C₂²×C₄	—	172	1	no	—
1185	C₂²×C₄	—	172	1	no	—
1186	C₂²×C₄	—	172	1	no	—
1187	C₂²×C₄	—	172	1	no	—
1188	C₂²×C₄	—	172	1	no	—
1189	C₂²×C₄	—	172	1	no	—
1190	C₂²×C₄	—	172	1	no	—
1191	C₂²×C₄	—	172	1	no	—
1192	C₂²×C₄	—	172	1	no	—
1193	C₂²×C₄	—	172	1	no	—
1194	C₂²×C₄	—	172	1	no	—
1195	C₂²×C₄	—	172	1	no	—
1196	C₂²×C₄	C₂×C₄×D₄₃	1	4	yes	—
1197	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
1198	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
1199	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
1200	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
1201	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
1202	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
1203	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
1204	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
1205	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
1206	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
1207	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
1208	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
1209	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
1210	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
1211	C₄⋊C₄	—	2	2	no	—
1212	C₄⋊C₄	—	4	1	no	—
1213	C₄⋊C₄	—	4	1	no	—
1214	C₄⋊C₄	—	4	1	no	—
1215	C₄⋊C₄	—	43	4	no	—
1216	C₄⋊C₄	—	43	4	no	—
1217	C₄⋊C₄	—	43	4	no	—
1218	C₄⋊C₄	—	43	4	no	—
1219	C₄⋊C₄	—	43	4	no	—
1220	C₄⋊C₄	—	43	4	no	—
1221	C₄⋊C₄	—	43	4	no	—
1222	C₄⋊C₄	—	43	4	no	—
1223	C₄⋊C₄	—	43	4	no	—
1224	C₄⋊C₄	—	43	4	no	—
1225	C₄⋊C₄	—	86	2	no	—
1226	C₄⋊C₄	—	86	2	no	—
1227	C₄⋊C₄	—	86	2	no	—
1228	C₄⋊C₄	—	86	2	no	—
1229	C₄⋊C₄	—	86	2	no	—
1230	C₄⋊C₄	—	86	2	no	—
1231	C₄⋊C₄	—	86	2	no	—
1232	C₄⋊C₄	—	86	2	no	—
1233	C₄⋊C₄	—	172	1	no	—
1234	C₄⋊C₄	—	172	1	no	—
1235	C₄⋊C₄	—	172	1	no	—
1236	C₄⋊C₄	—	172	1	no	—
1237	C₄⋊C₄	—	172	1	no	—
1238	C₄⋊C₄	—	172	1	no	—
1239	C₄⋊C₄	—	172	1	no	—
1240	C₄⋊C₄	—	172	1	no	—
1241	C₄⋊C₄	—	172	1	no	—
1242	C₄⋊C₄	—	172	1	no	—
1243	C₄⋊C₄	—	172	1	no	—
1244	C₄⋊C₄	—	172	1	no	—
1245	C₄⋊C₄	—	172	1	no	—
1246	C₄⋊C₄	C₂×C₄×D₄₃	1	4	yes	—
1247	C₄⋊C₄	C₂×C₄×D₄₃	1	4	yes	—
1248	C₄⋊C₄	C₂×C₄×D₄₃	1	4	yes	—
1249	C₂²⋊C₄	—	2	2	no	—
1250	C₂²⋊C₄	—	43	4	no	—
1251	C₂²⋊C₄	—	43	4	no	—
1252	C₂²⋊C₄	—	43	4	no	—
1253	C₂²⋊C₄	—	43	4	no	—
1254	C₂²⋊C₄	—	43	4	no	—
1255	C₂²⋊C₄	—	86	2	no	—
1256	C₂²⋊C₄	—	86	2	no	—
1257	C₂²⋊C₄	—	86	2	no	—
1258	C₂²⋊C₄	—	86	2	no	—
1259	C₂²⋊C₄	—	86	2	no	—
1260	C₂²⋊C₄	C₂×C₄×D₄₃	1	4	yes	—
1261	C₂²⋊C₄	C₂×C₄×D₄₃	1	4	yes	—
1262	C₂²⋊C₄	Q₈×D₄₃	1	4	yes	complemented
1263	C₄²	—	2	2	no	—
1264	C₄²	—	4	1	no	—
1265	C₄²	—	4	1	no	—
1266	C₄²	—	4	1	no	—
1267	C₄²	—	4	1	no	—
1268	C₄²	—	4	1	no	—
1269	C₄²	—	43	4	no	—
1270	C₄²	—	43	4	no	—
1271	C₄²	—	43	4	no	—
1272	C₄²	—	43	4	no	—
1273	C₄²	—	86	2	no	—
1274	C₄²	—	86	2	no	—
1275	C₄²	—	86	2	no	—
1276	C₄²	—	86	2	no	—
1277	C₄²	—	86	2	no	—
1278	C₄²	—	86	2	no	—
1279	C₄²	—	86	2	no	—
1280	C₄²	—	172	1	no	—
1281	C₄²	—	172	1	no	—
1282	C₄²	—	172	1	no	—
1283	C₄²	—	172	1	no	—
1284	C₄²	—	172	1	no	—
1285	C₄²	—	172	1	no	—
1286	C₄²	—	172	1	no	—
1287	C₄²	—	172	1	no	—
1288	C₄²	—	172	1	no	—
1289	C₄²	—	172	1	no	—
1290	C₄²	—	172	1	no	—
1291	C₄²	—	172	1	no	—
1292	C₂³	—	2	1	no	—
1293	C₂³	—	2	1	no	—
1294	C₂³	—	2	1	no	—
1295	C₂³	—	2	1	no	—
1296	C₂³	—	43	2	no	—
1297	C₂³	—	43	2	no	—
1298	C₂³	—	43	2	no	—
1299	C₂³	—	86	1	no	—
1300	C₂³	—	86	1	no	—
1301	C₂³	—	86	1	no	—
1302	C₂³	—	86	1	no	—
1303	C₂³	C₂²×C₄×D₄₃	1	2	yes	—
1304	C₂³	C₂×Q₈×D₄₃	1	2	yes	—
1305	C₂³	#41×D₄₃	1	2	yes	—
1306	C₂³	C₂⁴×D₄₃	1	1	yes	characteristic
1307	Q₈	—	4	4	no	—
1308	Q₈	—	86	8	no	—
1309	Q₈	—	86	8	no	—
1310	Q₈	—	86	8	no	—
1311	Q₈	—	172	4	no	—
1312	Q₈	—	172	4	no	—
1313	Q₈	—	172	4	no	—
1314	D₄	—	43	16	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	—	2	1	no	—
1335	C₂×C₄	—	2	1	no	—
1336	C₂×C₄	—	2	1	no	—
1337	C₂×C₄	—	2	1	no	—
1338	C₂×C₄	—	2	1	no	—
1339	C₂×C₄	—	2	1	no	—
1340	C₂×C₄	—	2	1	no	—
1341	C₂×C₄	—	2	1	no	—
1342	C₂×C₄	—	2	1	no	—
1343	C₂×C₄	—	2	1	no	—
1344	C₂×C₄	—	2	1	no	—
1345	C₂×C₄	—	2	1	no	—
1346	C₂×C₄	—	2	1	no	—
1347	C₂×C₄	—	2	1	no	—
1348	C₂×C₄	—	4	4	no	—
1349	C₂×C₄	—	4	4	no	—
1350	C₂×C₄	—	8	2	no	—
1351	C₂×C₄	—	43	2	no	—
1352	C₂×C₄	—	43	2	no	—
1353	C₂×C₄	—	43	2	no	—
1354	C₂×C₄	—	43	2	no	—
1355	C₂×C₄	—	43	2	no	—
1356	C₂×C₄	—	43	2	no	—
1357	C₂×C₄	—	43	2	no	—
1358	C₂×C₄	—	43	2	no	—
1359	C₂×C₄	—	43	2	no	—
1360	C₂×C₄	—	43	2	no	—
1361	C₂×C₄	—	43	2	no	—
1362	C₂×C₄	—	43	2	no	—
1363	C₂×C₄	—	43	2	no	—
1364	C₂×C₄	—	86	8	no	—
1365	C₂×C₄	—	86	8	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	—	86	1	no	—
1379	C₂×C₄	—	86	1	no	—
1380	C₂×C₄	—	86	1	no	—
1381	C₂×C₄	—	86	1	no	—
1382	C₂×C₄	—	86	1	no	—
1383	C₂×C₄	—	86	1	no	—
1384	C₂×C₄	—	86	1	no	—
1385	C₂×C₄	—	86	1	no	—
1386	C₂×C₄	—	86	1	no	—
1387	C₂×C₄	—	86	1	no	—
1388	C₂×C₄	—	86	1	no	—
1389	C₂×C₄	—	86	1	no	—
1390	C₂×C₄	—	86	1	no	—
1391	C₂×C₄	—	86	1	no	—
1392	C₂×C₄	—	86	1	no	—
1393	C₂×C₄	—	86	1	no	—
1394	C₂×C₄	—	86	1	no	—
1395	C₂×C₄	—	86	1	no	—
1396	C₂×C₄	—	86	1	no	—
1397	C₂×C₄	—	86	1	no	—
1398	C₂×C₄	—	344	2	no	—
1399	C₂×C₄	—	344	2	no	—
1400	C₂×C₄	—	344	2	no	—
1401	C₂×C₄	—	172	4	no	—
1402	C₂×C₄	—	172	4	no	—
1403	C₂×C₄	—	172	4	no	—
1404	C₂×C₄	—	172	4	no	—
1405	C₂×C₄	—	172	4	no	—
1406	C₂×C₄	—	172	4	no	—
1407	C₂×C₄	C₂²×C₄×D₄₃	1	2	yes	—
1408	C₂×C₄	C₂²×C₄×D₄₃	1	2	yes	—
1409	C₂×C₄	C₂²×C₄×D₄₃	1	2	yes	—
1410	C₂×C₄	C₂²×C₄×D₄₃	1	2	yes	—
1411	C₂×C₄	C₂²×C₄×D₄₃	1	2	yes	—
1412	C₂×C₄	C₂²×C₄×D₄₃	1	2	yes	—
1413	C₂×C₄	C₂×Q₈×D₄₃	1	2	yes	—
1414	C₂×C₄	C₂×Q₈×D₄₃	1	2	yes	—
1415	C₂×C₄	#13063372	1	2	yes	—
1416	C₂²	—	2	2	no	—
1417	C₂²	—	2	2	no	—
1418	C₂²	—	2	2	no	—
1419	C₂²	—	2	2	no	—
1420	C₂²	—	2	2	no	—
1421	C₂²	—	2	2	no	—
1422	C₂²	—	43	4	no	—
1423	C₂²	—	86	2	no	—
1424	C₂²	—	86	2	no	—
1425	C₂²	—	86	2	no	—
1426	C₂²	—	86	2	no	—
1427	C₂²	—	86	2	no	—
1428	C₂²	—	86	2	no	—
1429	C₂²	C₄×Q₈×D₄₃	1	4	yes	—
1430	C₂²	C₂³×C₄×D₄₃	1	1	yes	characteristic
1431	C₂²	C₂²×Q₈×D₄₃	1	1	yes	characteristic
1432	C₂²	C₂×#41×D₄₃	1	1	yes	characteristic
1433	C₂²	H(5,𝔽₂)×D₄₃	1	1	yes	characteristic
1434	C₂²	H(5,𝔽₂)×D₄₃	1	1	yes	characteristic
1435	C₂²	C₂×#13063372	1	1	yes	characteristic
1436	C₂²	#14583735	1	1	yes	characteristic
1437	C₄	—	2	2	no	—
1438	C₄	—	2	2	no	—
1439	C₄	—	2	2	no	—
1440	C₄	—	2	2	no	—
1441	C₄	—	2	2	no	—
1442	C₄	—	2	2	no	—
1443	C₄	—	2	2	no	—
1444	C₄	—	2	2	no	—
1445	C₄	—	2	2	no	—
1446	C₄	—	4	1	no	—
1447	C₄	—	4	1	no	—
1448	C₄	—	4	1	no	—
1449	C₄	—	4	1	no	—
1450	C₄	—	4	1	no	—
1451	C₄	—	43	4	no	—
1452	C₄	—	43	4	no	—
1453	C₄	—	86	2	no	—
1454	C₄	—	86	2	no	—
1455	C₄	—	86	2	no	—
1456	C₄	—	86	2	no	—
1457	C₄	—	86	2	no	—
1458	C₄	—	86	2	no	—
1459	C₄	—	86	2	no	—
1460	C₄	—	172	1	no	—
1461	C₄	—	172	1	no	—
1462	C₄	—	172	1	no	—
1463	C₄	—	172	1	no	—
1464	C₄	—	172	1	no	—
1465	C₄	—	172	1	no	—
1466	C₂	—	2	4	no	—
1467	C₂	—	86	4	no	—
1468	C₂	C₂×C₄×Q₈×D₄₃	1	1	yes	characteristic
1469	C₂	#518×D₄₃	1	1	yes	characteristic
1470	C₂	C₄×#13063372	1	1	yes	characteristic
1471	C₂	#19148394	1	1	yes	characteristic
1472	C₂	#19148409	1	1	yes	characteristic
1473	C₂	#19148545	1	1	yes	characteristic
1474	C₂	#19148633	1	1	yes	characteristic

	subgroup	G/H
center, Frattini	C₂³	C₂⁴×D₄₃
commutator	C₂²×C₄₃	C₂⁴×C₄
Fitting	C₄₃×#2368	C₂
socle, cosocle	C₂³×C₄₃	C₂⁵
prime radical	C₂²×C₂²⋊D₄₃	C₂³
hypercenter	#2368	D₄₃
hypocenter	C₄₃	#34334
LCS	G ▷ C₂²×C₄₃ ▷ C₄₃
UCS	C₁ ◁ C₂³ ◁ #2368

Complements

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

N	H ≅ G/N	type
2. #19137683	C₂	semidirect
3. #19137682	C₂	semidirect
4. #19137679	C₂	semidirect
5. #19137677	C₂	semidirect
6. #19137673	C₂	semidirect
7. #19137650	C₂	semidirect
8. #19137603	C₂	semidirect
9. #19137601	C₂	semidirect
10. #19137549	C₂	semidirect
14. C₂²⋊C₄×Dic₈₆	C₂	semidirect
15. #19137429	C₂	semidirect
16. #19137340	C₂	semidirect
17. #19137338	C₂	semidirect
18. #19137330	C₂	semidirect
19. #19137326	C₂	semidirect
20. #19137324	C₂	semidirect
21. #19137322	C₂	semidirect
22. C₄×#13063324	C₂	semidirect
23. C₄×#13063303	C₂	semidirect
24. #19137127	C₂	semidirect
25. #19137068	C₂	semidirect
26. C₂×#14582803	C₂	semidirect
27. #391×D₄₃	C₂	semidirect
31. C₄₃×#2368	C₂	semidirect
34. #14583562	C₄	semidirect
190. C₂²×Dic₈₆	C₂×C₄	semidirect
199. C₂×Q₈×D₄₃	C₂×C₄	semidirect
212. #13063324	C₂×C₄	semidirect
213. #13063324	C₂×C₄	semidirect
214. #13063323	C₂×C₄	semidirect
215. #13063305	C₂×C₄	semidirect
216. #13063303	C₂×C₄	semidirect
217. #13063303	C₂×C₄	semidirect
218. #13063302	C₂×C₄	semidirect
219. #13063302	C₂×C₄	semidirect
224. #13063290	C₂×C₄	semidirect
231. (C₂²⋊D₄₃)⋊C₄	Q₈	semidirect
342. C₂²⋊Q₈×C₄₃	C₂×C₄	semidirect
416. C₂²×Dic₄₃	C₂×Q₈	semidirect
453. C₂×C₄×D₄₃	C₂×Q₈	semidirect
483. C₂²⋊C₄×C₄₃	C₂×Q₈	semidirect
499. (C₂×D₄₃)⋊C₄	C₂×Q₈	semidirect
530. Dic₄₃⋊C₄	C₂×Q₈	semidirect
553. C₄×Dic₄₃	C₂×Q₈	semidirect
615. C₂²⋊D₄₃	C₄×Q₈	semidirect
735. #2368	D₄₃	semidirect
925. C₄₃	#34334	semidirect
962. C₂²⋊Q₈	C₄×D₄₃	semidirect
1262. C₂²⋊C₄	Q₈×D₄₃	semidirect

Maximal subgroups

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

subgroup	index
C₂×#14583562	2
#19137683	2
#19137682	2
#19137679	2
#19137677	2
#19137673	2
#19137650	2
#19137603	2
#19137601	2
#19137549	2
#19137502	2
#19137501	2
#19137493	2
C₂²⋊C₄×Dic₈₆	2
#19137429	2
#19137340	2
#19137338	2
#19137330	2
#19137326	2
#19137324	2
#19137322	2
C₄×#13063324	2
C₄×#13063303	2
#19137127	2
#19137068	2
C₂×#14582803	2
#391×D₄₃	2
#19136954	2
C₄×(C₂²⋊D₄₃)⋊C₄	2
C₄₃×#2368	2
#34334	43