Subgroups — #25269791

Order 11008.

1766 conjugacy classes of subgroups.

The subgroup lattice has 1398 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#19142915	C₂	1	1	yes	maximal, characteristic, complemented
2	#19142915	C₂	1	1	yes	maximal, characteristic, complemented
3	#19142909	C₂	1	1	yes	maximal, characteristic, complemented
4	#19142907	C₂	1	1	yes	maximal, characteristic, complemented
5	#19140564	C₂	1	1	yes	maximal, characteristic, complemented
6	#19140526	C₂	1	1	yes	maximal, characteristic
7	#19140413	C₂	1	1	yes	maximal, characteristic, complemented
8	#19140336	C₂	1	1	yes	maximal, characteristic
9	#19140087	C₂	1	1	yes	maximal, characteristic, complemented
10	#19140087	C₂	1	1	yes	maximal, characteristic, complemented
11	#19139995	C₂	1	1	yes	maximal, characteristic, complemented
12	#19139985	C₂	1	1	yes	maximal, characteristic, complemented
13	#19139875	C₂	1	1	yes	maximal, characteristic, complemented
14	#19139867	C₂	1	1	yes	maximal, characteristic, complemented
15	#19139858	C₂	1	1	yes	maximal, characteristic, complemented
16	#19139850	C₂	1	1	yes	maximal, characteristic, complemented
17	#19139356	C₂	1	1	yes	maximal, characteristic, complemented
18	#19139350	C₂	1	1	yes	maximal, characteristic, complemented
19	#19139339	C₂	1	1	yes	maximal, characteristic, complemented
20	#19139337	C₂	1	1	yes	maximal, characteristic, complemented
21	#19138682	C₂	1	1	yes	maximal, characteristic, complemented
22	#19138672	C₂	1	1	yes	maximal, characteristic, complemented
23	#19138655	C₂	1	1	yes	maximal, characteristic, complemented
24	#19137262	C₂	1	1	yes	maximal, characteristic, complemented
25	#19137262	C₂	1	1	yes	maximal, characteristic, complemented
26	#19137230	C₂	1	1	yes	maximal, characteristic, complemented
27	#19137224	C₂	1	1	yes	maximal, characteristic, complemented
28	#19137129	C₂	1	1	yes	maximal, characteristic, complemented
29	C₄×#13063296	C₂	1	1	yes	maximal, characteristic
30	C₄×C₄⋊C₄×D₄₃	C₂	1	1	yes	maximal, characteristic, complemented
31	C₄₃×#2468	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂×#13063318	C₂²	1	1	yes	characteristic
33	C₂×#13063307	C₂²	1	1	yes	characteristic
34	C₂×#13063307	C₂²	1	1	yes	characteristic
35	C₂×#13063303	C₂²	1	1	yes	characteristic
36	C₂×#13063296	C₂²	1	1	yes	characteristic
37	C₂×#13063290	C₂²	1	1	yes	characteristic
38	C₂×C₄×C₂²⋊D₄₃	C₂²	1	1	yes	characteristic
39	C₂×C₄×C₂²⋊D₄₃	C₂²	1	1	yes	characteristic
40	C₂×C₄⋊C₄×D₄₃	C₂²	1	1	yes	characteristic
41	C₂×C₄⋊C₄×D₄₃	C₂²	1	1	yes	characteristic
42	C₂×C₄²×D₄₃	C₂²	1	1	yes	characteristic
43	C₂×C₄²×D₄₃	C₂²	1	1	yes	characteristic
44	C₂×C₄²×D₄₃	C₂²	1	1	yes	characteristic
45	#14582841	C₂²	1	1	yes	characteristic
46	#14582841	C₂²	1	1	yes	characteristic
47	#14582841	C₂²	1	1	yes	characteristic
48	#14582840	C₂²	1	1	yes	characteristic
49	#14582840	C₂²	1	1	yes	characteristic
50	#14582839	C₂²	1	1	yes	characteristic
51	#14582838	C₂²	1	1	yes	characteristic
52	#14582837	C₂²	1	1	yes	characteristic
53	#14582832	C₂²	1	1	yes	characteristic
54	#14582832	C₂²	1	1	yes	characteristic
55	#14582832	C₂²	1	1	yes	characteristic
56	#14582831	C₂²	1	1	yes	characteristic
57	#14582830	C₂²	1	1	yes	characteristic
58	#14582829	C₂²	1	1	yes	characteristic
59	#14582829	C₂²	1	1	yes	characteristic
60	#14582829	C₂²	1	1	yes	characteristic
61	#14582827	C₂²	1	1	yes	characteristic
62	#14582827	C₂²	1	1	yes	characteristic
63	#14582822	C₂²	1	1	yes	characteristic
64	#14582822	C₂²	1	1	yes	characteristic
65	#14582822	C₂²	1	1	yes	characteristic
66	#14582822	C₂²	1	1	yes	characteristic
67	#14582820	C₂²	1	1	yes	characteristic
68	#14582819	C₂²	1	1	yes	characteristic
69	#14582813	C₂²	1	1	yes	characteristic
70	#14582813	C₂²	1	1	yes	characteristic
71	#14582811	C₂²	1	1	yes	characteristic
72	#14582811	C₂²	1	1	yes	characteristic
73	#14582803	C₂²	1	1	yes	characteristic
74	#14582802	C₂²	1	1	yes	characteristic
75	#14582796	C₂²	1	1	yes	characteristic
76	#14582796	C₂²	1	1	yes	characteristic
77	#14582796	C₂²	1	1	yes	characteristic
78	#14582795	C₂²	1	1	yes	characteristic
79	#14582795	C₂²	1	1	yes	characteristic
80	#14582795	C₂²	1	1	yes	characteristic
81	#14582793	C₂²	1	1	yes	characteristic
82	#14582793	C₂²	1	1	yes	characteristic
83	#14582793	C₂²	1	1	yes	characteristic
84	#14582793	C₂²	1	1	yes	characteristic
85	#14582793	C₂²	1	1	yes	characteristic
86	#14582792	C₂²	1	1	yes	characteristic
87	#14582792	C₂²	1	1	yes	characteristic
88	#14582792	C₂²	1	1	yes	characteristic
89	#14582792	C₂²	1	1	yes	characteristic
90	#14582792	C₂²	1	1	yes	characteristic
91	#14582787	C₂²	1	1	yes	characteristic
92	#14582787	C₂²	1	1	yes	characteristic
93	#14582787	C₂²	1	1	yes	characteristic
94	#14582787	C₂²	1	1	yes	characteristic
95	#14582787	C₂²	1	1	yes	characteristic
96	#14582787	C₂²	1	1	yes	characteristic
97	#14582787	C₂²	1	1	yes	characteristic
98	#14582787	C₂²	1	1	yes	characteristic
99	#14582787	C₂²	1	1	yes	characteristic
100	#14582787	C₂²	1	1	yes	characteristic
101	#14582787	C₂²	1	1	yes	characteristic
102	#14582786	C₂²	1	1	yes	characteristic
103	#14582786	C₂²	1	1	yes	characteristic
104	#14582786	C₂²	1	1	yes	characteristic
105	#14582786	C₂²	1	1	yes	characteristic
106	#14582785	C₂²	1	1	yes	characteristic
107	#14582785	C₂²	1	1	yes	characteristic
108	#14582785	C₂²	1	1	yes	characteristic
109	#14582784	C₂²	1	1	yes	characteristic
110	#14582784	C₂²	1	1	yes	characteristic
111	#14582784	C₂²	1	1	yes	characteristic
112	#14582784	C₂²	1	1	yes	characteristic
113	#14582783	C₂²	1	1	yes	characteristic
114	#14582783	C₂²	1	1	yes	characteristic
115	#14582783	C₂²	1	1	yes	characteristic
116	#14582783	C₂²	1	1	yes	characteristic
117	#14582782	C₂²	1	1	yes	characteristic
118	#14582780	C₂²	1	1	yes	characteristic
119	#14582780	C₂²	1	1	yes	characteristic
120	#14582780	C₂²	1	1	yes	characteristic
121	#14582780	C₂²	1	1	yes	characteristic
122	#14582780	C₂²	1	1	yes	characteristic
123	#14582780	C₂²	1	1	yes	characteristic
124	#14582780	C₂²	1	1	yes	characteristic
125	#14582775	C₂²	1	1	yes	characteristic
126	#14582775	C₂²	1	1	yes	characteristic
127	#14582775	C₂²	1	1	yes	characteristic
128	#14582775	C₂²	1	1	yes	characteristic
129	#14582775	C₂²	1	1	yes	characteristic
130	#14582775	C₂²	1	1	yes	characteristic
131	#14582775	C₂²	1	1	yes	characteristic
132	#14582775	C₂²	1	1	yes	characteristic
133	#14582773	C₂²	1	1	yes	characteristic
134	#14582773	C₂²	1	1	yes	characteristic
135	#14582773	C₂²	1	1	yes	characteristic
136	#14582772	C₂²	1	1	yes	characteristic
137	#14582772	C₂²	1	1	yes	characteristic
138	#14582770	C₂²	1	1	yes	characteristic
139	#14582770	C₂²	1	1	yes	characteristic
140	#14582770	C₂²	1	1	yes	characteristic
141	#14582770	C₂²	1	1	yes	characteristic
142	#14582770	C₂²	1	1	yes	characteristic
143	#14582767	C₂²	1	1	yes	characteristic
144	#14582766	C₂²	1	1	yes	characteristic
145	#14582766	C₂²	1	1	yes	characteristic
146	#14582766	C₂²	1	1	yes	characteristic
147	#14582763	C₂²	1	1	yes	characteristic
148	#14582763	C₂²	1	1	yes	characteristic
149	#14582762	C₂²	1	1	yes	characteristic
150	#14582761	C₂²	1	1	yes	characteristic
151	#14582761	C₂²	1	1	yes	characteristic
152	#14582759	C₂²	1	1	yes	characteristic
153	#14582758	C₂²	1	1	yes	characteristic
154	#14582756	C₂²	1	1	yes	characteristic
155	C₄⋊C₄×Dic₄₃	C₂²	1	1	yes	characteristic
156	C₄⋊C₄×Dic₄₃	C₂²	1	1	yes	characteristic
157	C₄⋊C₄×Dic₄₃	C₂²	1	1	yes	characteristic
158	C₄×Dic₄₃⋊C₄	C₂²	1	1	yes	characteristic
159	C₄×Dic₄₃⋊C₄	C₂²	1	1	yes	characteristic
160	C₄×C₄⋊Dic₄₃	C₂²	1	1	yes	characteristic
161	C₄×C₄⋊Dic₄₃	C₂²	1	1	yes	characteristic
162	#14582750	C₂²	1	1	yes	characteristic
163	#14582750	C₂²	1	1	yes	characteristic
164	#14582750	C₂²	1	1	yes	characteristic
165	#14582750	C₂²	1	1	yes	characteristic
166	C₄×C₂²⋊Dic₄₃	C₂²	1	1	yes	characteristic
167	C₄×C₂²⋊Dic₄₃	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	C₂×#126×C₄₃	C₂²	1	1	yes	characteristic
173	C₂×C₄×D₄×C₄₃	C₂²	1	1	yes	characteristic
174	C₄₃×#398	C₂²	1	1	yes	characteristic
175	C₄₃×#398	C₂²	1	1	yes	characteristic
176	C₄₃×#394	C₂²	1	1	yes	characteristic
177	C₄₃×#394	C₂²	1	1	yes	characteristic
178	C₄₃×#388	C₂²	1	1	yes	characteristic
179	C₄₃×#388	C₂²	1	1	yes	characteristic
180	C₄₃×#388	C₂²	1	1	yes	characteristic
181	C₄₃×#387	C₂²	1	1	yes	characteristic
182	C₄₃×#385	C₂²	1	1	yes	characteristic
183	C₄₃×#385	C₂²	1	1	yes	characteristic
184	C₄₃×#381	C₂²	1	1	yes	characteristic
185	C₄₃×#380	C₂²	1	1	yes	characteristic
186	C₄×C₄⋊C₄×C₄₃	C₂²	1	1	yes	characteristic
187	C₂²×Dic₈₆	C₂³	1	1	yes	characteristic
188	C₂²×C₂²⋊D₄₃	C₂³	1	1	yes	characteristic
189	C₂²×C₂²⋊D₄₃	C₂³	1	1	yes	characteristic
190	C₂²×C₄×D₄₃	C₂³	1	1	yes	characteristic
191	C₂²×C₄×D₄₃	C₂³	1	1	yes	characteristic
192	C₂²×C₄×D₄₃	C₂³	1	1	yes	characteristic
193	C₂²×C₄×D₄₃	C₂³	1	1	yes	characteristic
194	C₂²×C₄×D₄₃	C₂³	1	1	yes	characteristic
195	C₂²×C₄×D₄₃	C₂³	1	1	yes	characteristic
196	C₂²×C₄×D₄₃	C₂³	1	1	yes	characteristic
197	#13063318	—	4	2	no	—
198	#13063307	—	2	4	no	—
199	#13063307	—	2	4	no	—
200	#13063303	—	2	4	no	—
201	#13063296	—	2	4	no	—
202	#13063290	—	4	2	no	—
203	C₄×C₂²⋊D₄₃	—	2	4	no	—
204	C₄×C₂²⋊D₄₃	—	2	4	no	—
205	C₂×C₄⋊Dic₄₃	C₂³	1	1	yes	characteristic
206	C₂×C₄⋊Dic₄₃	C₂³	1	1	yes	characteristic
207	C₂×C₄⋊Dic₄₃	C₂³	1	1	yes	characteristic
208	C₂×C₄⋊Dic₄₃	C₂³	1	1	yes	characteristic
209	C₂×C₄⋊Dic₄₃	C₂³	1	1	yes	characteristic
210	C₂×C₄⋊Dic₄₃	C₂³	1	1	yes	characteristic
211	C₂×C₄⋊Dic₄₃	C₂³	1	1	yes	characteristic
212	C₂×C₄⋊Dic₄₃	C₂³	1	1	yes	characteristic
213	C₂×C₄⋊Dic₄₃	C₂³	1	1	yes	characteristic
214	C₂×Dic₄₃⋊C₄	C₂³	1	1	yes	characteristic
215	C₂×Dic₄₃⋊C₄	C₂³	1	1	yes	characteristic
216	C₂×Dic₄₃⋊C₄	C₂³	1	1	yes	characteristic
217	C₂×Dic₄₃⋊C₄	C₂³	1	1	yes	characteristic
218	C₂×Dic₄₃⋊C₄	C₂³	1	1	yes	characteristic
219	C₂×Dic₄₃⋊C₄	C₂³	1	1	yes	characteristic
220	C₂×Dic₄₃⋊C₄	C₂³	1	1	yes	characteristic
221	C₂×Dic₄₃⋊C₄	C₂³	1	1	yes	characteristic
222	C₂×Dic₄₃⋊C₄	C₂³	1	1	yes	characteristic
223	C₂×Dic₄₃⋊C₄	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	C₄⋊C₄×D₄₃	—	2	4	no	—
235	C₄⋊C₄×D₄₃	—	2	4	no	—
236	C₂×C₂²⋊Dic₄₃	C₂³	1	1	yes	characteristic
237	C₂×C₂²⋊Dic₄₃	C₂³	1	1	yes	characteristic
238	C₂×C₂²⋊Dic₄₃	C₂³	1	1	yes	characteristic
239	C₂×C₂²⋊Dic₄₃	C₂³	1	1	yes	characteristic
240	C₂×C₂²⋊Dic₄₃	C₂³	1	1	yes	characteristic
241	C₂×C₂²⋊Dic₄₃	C₂³	1	1	yes	characteristic
242	C₂×C₂²⋊Dic₄₃	C₂³	1	1	yes	characteristic
243	C₂×C₂²⋊Dic₄₃	C₂³	1	1	yes	characteristic
244	C₂×C₂²⋊Dic₄₃	C₂³	1	1	yes	characteristic
245	C₂×C₂²⋊Dic₄₃	C₂³	1	1	yes	characteristic
246	C₂×C₂²⋊Dic₄₃	C₂³	1	1	yes	characteristic
247	C₂×C₂²⋊Dic₄₃	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×(C₂×D₄₃)⋊C₄	C₂³	1	1	yes	characteristic
251	C₂×(C₂×D₄₃)⋊C₄	C₂³	1	1	yes	characteristic
252	C₂×(C₂×D₄₃)⋊C₄	C₂³	1	1	yes	characteristic
253	C₂×(C₂×D₄₃)⋊C₄	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×C₄×Dic₄₃	C₂³	1	1	yes	characteristic
257	C₂×C₄×Dic₄₃	C₂³	1	1	yes	characteristic
258	C₂×C₄×Dic₄₃	C₂³	1	1	yes	characteristic
259	C₂×C₄×Dic₄₃	C₂³	1	1	yes	characteristic
260	C₂×C₄×Dic₄₃	C₂³	1	1	yes	characteristic
261	C₂×C₄×Dic₄₃	C₂³	1	1	yes	characteristic
262	C₂×C₄×Dic₄₃	C₂³	1	1	yes	characteristic
263	C₂×C₄×Dic₄₃	C₂³	1	1	yes	characteristic
264	C₂×C₄×Dic₄₃	C₂³	1	1	yes	characteristic
265	C₂×C₄×Dic₄₃	C₂³	1	1	yes	characteristic
266	C₂×C₄×Dic₄₃	C₂³	1	1	yes	characteristic
267	C₂×C₄×Dic₄₃	C₂³	1	1	yes	characteristic
268	C₂×C₄×Dic₄₃	C₂³	1	1	yes	characteristic
269	C₂×C₄×Dic₄₃	C₂³	1	1	yes	characteristic
270	C₂×C₄×Dic₄₃	C₂³	1	1	yes	characteristic
271	C₄²×D₄₃	—	2	4	no	—
272	C₄²×D₄₃	—	4	2	no	—
273	C₄²×D₄₃	—	4	2	no	—
274	C₄₃⋊#95	C₂³	1	1	yes	characteristic
275	C₄₃⋊#95	C₂³	1	1	yes	characteristic
276	C₄₃⋊#95	C₂³	1	1	yes	characteristic
277	C₄₃⋊#95	C₂³	1	1	yes	characteristic
278	C₄₃⋊#95	C₂³	1	1	yes	characteristic
279	C₄₃⋊#95	C₂³	1	1	yes	characteristic
280	C₄₃⋊#95	C₂³	1	1	yes	characteristic
281	C₄₃⋊#95	C₂³	1	1	yes	characteristic
282	C₄₃⋊#95	C₂³	1	1	yes	characteristic
283	C₄₃⋊#95	C₂³	1	1	yes	characteristic
284	C₄₃⋊#95	C₂³	1	1	yes	characteristic
285	C₄₃⋊#95	C₂³	1	1	yes	characteristic
286	C₄₃⋊#95	C₂³	1	1	yes	characteristic
287	C₄₃⋊#95	C₂³	1	1	yes	characteristic
288	C₄₃⋊#95	C₂³	1	1	yes	characteristic
289	C₄₃⋊#95	C₂³	1	1	yes	characteristic
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	C₂²×D₄×C₄₃	C₂³	1	1	yes	characteristic
321	C₂³×C₄×C₄₃	C₂³	1	1	yes	characteristic
322	C₂³×C₄×C₄₃	C₂³	1	1	yes	characteristic
323	#126×C₄₃	—	4	2	no	—
324	C₄×D₄×C₄₃	—	4	2	no	—
325	C₂×C₄⋊C₄×C₄₃	C₂³	1	1	yes	characteristic
326	C₂×C₄⋊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×C₂²⋊C₄×C₄₃	C₂³	1	1	yes	characteristic
335	C₂×C₂²⋊C₄×C₄₃	C₂³	1	1	yes	characteristic
336	C₂×C₂²⋊C₄×C₄₃	C₂³	1	1	yes	characteristic
337	C₂×C₂²⋊C₄×C₄₃	C₂³	1	1	yes	characteristic
338	C₂×C₂²⋊C₄×C₄₃	C₂³	1	1	yes	characteristic
339	C₂×C₂²⋊C₄×C₄₃	C₂³	1	1	yes	characteristic
340	C₂×C₂²⋊C₄×C₄₃	C₂³	1	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×C₄²×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	#95×C₄₃	C₂³	1	1	yes	characteristic
348	#95×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	C₂⁴×C₄₃	C₂⁴	1	1	yes	characteristic
358	C₂⁴×C₄₃	C₂⁴	1	1	yes	characteristic
359	C₂³×D₄₃	C₂⁴	1	1	yes	characteristic
360	C₂×D₄×C₄₃	—	2	2	no	—
361	C₂×D₄×C₄₃	—	4	1	no	—
362	C₂×D₄×C₄₃	—	4	1	no	—
363	C₂²×C₄×C₄₃	—	2	2	no	—
364	C₂²×C₄×C₄₃	—	2	2	no	—
365	C₂²×C₄×C₄₃	—	4	1	no	—
366	C₂²×C₄×C₄₃	—	4	1	no	—
367	C₂²×C₄×C₄₃	—	4	1	no	—
368	C₂²×C₄×C₄₃	—	4	1	no	—
369	C₂²×C₄×C₄₃	C₂⁴	1	1	yes	characteristic
370	C₂²×C₄×C₄₃	C₂⁴	1	1	yes	characteristic
371	C₂²×C₄×C₄₃	C₂⁴	1	1	yes	characteristic
372	C₂²×C₄×C₄₃	C₂⁴	1	1	yes	characteristic
373	C₂²×C₄×C₄₃	C₂⁴	1	1	yes	characteristic
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	C₂×C₂²⋊D₄₃	—	2	2	no	—
383	C₂×C₂²⋊D₄₃	—	2	2	no	—
384	C₂×C₂²⋊D₄₃	—	2	2	no	—
385	C₂×C₂²⋊D₄₃	—	2	2	no	—
386	C₂×C₂²⋊D₄₃	—	2	2	no	—
387	C₂×C₂²⋊D₄₃	—	2	2	no	—
388	C₂²×Dic₄₃	C₂⁴	1	1	yes	characteristic
389	C₂²×Dic₄₃	C₂⁴	1	1	yes	characteristic
390	C₂²×Dic₄₃	C₂⁴	1	1	yes	characteristic
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	C₂×C₄×D₄₃	—	2	2	no	—
404	C₂×C₄×D₄₃	—	2	2	no	—
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	—	4	1	no	—
412	C₂×C₄×D₄₃	—	4	1	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	#41	1	4	yes	—
422	C₂×C₄×D₄₃	#41	1	4	yes	—
423	C₂×C₄×D₄₃	#41	1	4	yes	—
424	C₂×Dic₈₆	—	2	2	no	—
425	C₂×Dic₈₆	—	4	1	no	—
426	C₂×Dic₈₆	—	4	1	no	—
427	C₄⋊C₄×C₄₃	—	2	2	no	—
428	C₄⋊C₄×C₄₃	—	2	2	no	—
429	C₄⋊C₄×C₄₃	—	2	2	no	—
430	C₄⋊C₄×C₄₃	—	2	2	no	—
431	C₄⋊C₄×C₄₃	—	4	1	no	—
432	C₄⋊C₄×C₄₃	—	4	1	no	—
433	C₄⋊C₄×C₄₃	—	4	1	no	—
434	C₄⋊C₄×C₄₃	—	4	1	no	—
435	C₄⋊C₄×C₄₃	—	4	1	no	—
436	C₂²⋊C₄×C₄₃	—	2	2	no	—
437	C₂²⋊C₄×C₄₃	—	2	2	no	—
438	C₂²⋊C₄×C₄₃	—	2	2	no	—
439	C₂²⋊C₄×C₄₃	—	2	2	no	—
440	C₂²⋊C₄×C₄₃	—	4	1	no	—
441	C₂²⋊C₄×C₄₃	—	4	1	no	—
442	C₂²⋊C₄×C₄₃	—	4	1	no	—
443	C₂²⋊C₄×C₄₃	—	4	1	no	—
444	C₂²⋊C₄×C₄₃	—	4	1	no	—
445	C₂²⋊C₄×C₄₃	—	4	1	no	—
446	C₄²×C₄₃	—	2	2	no	—
447	C₄²×C₄₃	—	2	2	no	—
448	C₄²×C₄₃	—	2	2	no	—
449	C₂²⋊Dic₄₃	—	2	2	no	—
450	C₂²⋊Dic₄₃	—	2	2	no	—
451	C₂²⋊Dic₄₃	—	2	2	no	—
452	C₂²⋊Dic₄₃	—	2	2	no	—
453	C₂²⋊Dic₄₃	—	2	2	no	—
454	C₂²⋊Dic₄₃	—	2	2	no	—
455	C₂²⋊Dic₄₃	—	2	2	no	—
456	C₂²⋊Dic₄₃	—	2	2	no	—
457	C₂²⋊Dic₄₃	—	4	1	no	—
458	C₂²⋊Dic₄₃	—	4	1	no	—
459	C₂²⋊Dic₄₃	—	4	1	no	—
460	C₂²⋊Dic₄₃	—	4	1	no	—
461	C₂²⋊Dic₄₃	—	4	1	no	—
462	C₂²⋊Dic₄₃	—	4	1	no	—
463	(C₂×D₄₃)⋊C₄	—	2	2	no	—
464	(C₂×D₄₃)⋊C₄	—	2	2	no	—
465	(C₂×D₄₃)⋊C₄	—	2	2	no	—
466	(C₂×D₄₃)⋊C₄	—	2	2	no	—
467	(C₂×D₄₃)⋊C₄	—	2	2	no	—
468	(C₂×D₄₃)⋊C₄	—	2	2	no	—
469	C₄⋊Dic₄₃	—	2	2	no	—
470	C₄⋊Dic₄₃	—	2	2	no	—
471	C₄⋊Dic₄₃	—	2	2	no	—
472	C₄⋊Dic₄₃	—	2	2	no	—
473	C₄⋊Dic₄₃	—	2	2	no	—
474	C₄⋊Dic₄₃	—	2	2	no	—
475	C₄⋊Dic₄₃	—	4	1	no	—
476	C₄⋊Dic₄₃	—	4	1	no	—
477	C₄⋊Dic₄₃	—	4	1	no	—
478	Dic₄₃⋊C₄	—	2	2	no	—
479	Dic₄₃⋊C₄	—	2	2	no	—
480	Dic₄₃⋊C₄	—	2	2	no	—
481	Dic₄₃⋊C₄	—	2	2	no	—
482	Dic₄₃⋊C₄	—	2	2	no	—
483	Dic₄₃⋊C₄	—	2	2	no	—
484	Dic₄₃⋊C₄	—	2	2	no	—
485	Dic₄₃⋊C₄	—	2	2	no	—
486	Dic₄₃⋊C₄	—	2	2	no	—
487	Dic₄₃⋊C₄	—	2	2	no	—
488	Dic₄₃⋊C₄	—	2	2	no	—
489	Dic₄₃⋊C₄	—	2	2	no	—
490	Dic₄₃⋊C₄	—	4	1	no	—
491	Dic₄₃⋊C₄	—	4	1	no	—
492	Dic₄₃⋊C₄	—	4	1	no	—
493	Dic₄₃⋊C₄	—	4	1	no	—
494	Dic₄₃⋊C₄	—	4	1	no	—
495	Dic₄₃⋊C₄	—	4	1	no	—
496	Dic₄₃⋊C₄	—	4	1	no	—
497	Dic₄₃⋊C₄	—	4	1	no	—
498	C₄×Dic₄₃	—	2	2	no	—
499	C₄×Dic₄₃	—	2	2	no	—
500	C₄×Dic₄₃	—	2	2	no	—
501	C₄×Dic₄₃	—	2	2	no	—
502	C₄×Dic₄₃	—	2	2	no	—
503	C₄×Dic₄₃	—	2	2	no	—
504	C₄×Dic₄₃	—	2	2	no	—
505	C₄×Dic₄₃	—	4	1	no	—
506	C₄×Dic₄₃	—	4	1	no	—
507	C₄×Dic₄₃	—	4	1	no	—
508	C₄×Dic₄₃	—	4	1	no	—
509	C₄×Dic₄₃	—	4	1	no	—
510	C₄×Dic₄₃	—	4	1	no	—
511	C₄×Dic₄₃	—	4	1	no	—
512	C₄×Dic₄₃	—	4	1	no	—
513	C₂³×C₄₃	—	2	1	no	—
514	C₂³×C₄₃	—	2	1	no	—
515	C₂³×C₄₃	—	2	1	no	—
516	C₂³×C₄₃	—	2	1	no	—
517	C₂³×C₄₃	—	2	1	no	—
518	C₂³×C₄₃	—	2	1	no	—
519	C₂³×C₄₃	—	2	1	no	—
520	C₂³×C₄₃	—	2	1	no	—
521	C₂³×C₄₃	—	2	1	no	—
522	C₂³×C₄₃	—	2	1	no	—
523	C₂³×C₄₃	—	2	1	no	—
524	C₂³×C₄₃	—	2	1	no	—
525	C₂³×C₄₃	—	2	1	no	—
526	C₂³×C₄₃	—	2	1	no	—
527	C₂³×C₄₃	C₂⁵	1	1	yes	characteristic
528	C₂²×D₄₃	—	2	1	no	—
529	C₂²×D₄₃	—	2	1	no	—
530	C₂²×D₄₃	—	2	1	no	—
531	C₂²×D₄₃	—	2	1	no	—
532	C₂²×D₄₃	C₂×#41	1	2	yes	—
533	C₂²×D₄₃	C₂×#41	1	2	yes	—
534	C₂²×D₄₃	C₂×#41	1	2	yes	—
535	D₄×C₄₃	—	4	4	no	—
536	C₂×C₄×C₄₃	—	2	1	no	—
537	C₂×C₄×C₄₃	—	2	1	no	—
538	C₂×C₄×C₄₃	—	2	1	no	—
539	C₂×C₄×C₄₃	—	2	1	no	—
540	C₂×C₄×C₄₃	—	2	1	no	—
541	C₂×C₄×C₄₃	—	2	1	no	—
542	C₂×C₄×C₄₃	—	2	1	no	—
543	C₂×C₄×C₄₃	—	2	1	no	—
544	C₂×C₄×C₄₃	—	2	1	no	—
545	C₂×C₄×C₄₃	—	2	1	no	—
546	C₂×C₄×C₄₃	—	2	1	no	—
547	C₂×C₄×C₄₃	—	2	1	no	—
548	C₂×C₄×C₄₃	—	2	1	no	—
549	C₂×C₄×C₄₃	—	2	1	no	—
550	C₂×C₄×C₄₃	—	2	1	no	—
551	C₂×C₄×C₄₃	—	2	1	no	—
552	C₂×C₄×C₄₃	—	2	1	no	—
553	C₂×C₄×C₄₃	—	2	1	no	—
554	C₂×C₄×C₄₃	—	2	1	no	—
555	C₂×C₄×C₄₃	—	2	1	no	—
556	C₂×C₄×C₄₃	—	2	1	no	—
557	C₂×C₄×C₄₃	—	2	1	no	—
558	C₂×C₄×C₄₃	—	2	1	no	—
559	C₂×C₄×C₄₃	—	2	1	no	—
560	C₂×C₄×C₄₃	—	2	1	no	—
561	C₂×C₄×C₄₃	—	2	1	no	—
562	C₂×C₄×C₄₃	—	2	1	no	—
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	—	8	2	no	—
572	C₂×C₄×C₄₃	—	8	2	no	—
573	C₂×C₄×C₄₃	C₂×#41	1	2	yes	—
574	C₂×C₄×C₄₃	C₂×#41	1	2	yes	—
575	C₂×C₄×C₄₃	C₂×#41	1	2	yes	—
576	C₂×C₄×C₄₃	H(5,𝔽₂)	1	2	yes	—
577	C₂²⋊D₄₃	—	4	4	no	—
578	C₂²⋊D₄₃	—	4	4	no	—
579	C₂×Dic₄₃	—	2	1	no	—
580	C₂×Dic₄₃	—	2	1	no	—
581	C₂×Dic₄₃	—	2	1	no	—
582	C₂×Dic₄₃	—	2	1	no	—
583	C₂×Dic₄₃	—	2	1	no	—
584	C₂×Dic₄₃	—	2	1	no	—
585	C₂×Dic₄₃	—	2	1	no	—
586	C₂×Dic₄₃	—	2	1	no	—
587	C₂×Dic₄₃	—	2	1	no	—
588	C₂×Dic₄₃	—	2	1	no	—
589	C₂×Dic₄₃	—	2	1	no	—
590	C₂×Dic₄₃	—	2	1	no	—
591	C₂×Dic₄₃	—	2	1	no	—
592	C₂×Dic₄₃	—	2	1	no	—
593	C₂×Dic₄₃	—	2	1	no	—
594	C₂×Dic₄₃	—	2	1	no	—
595	C₂×Dic₄₃	—	2	1	no	—
596	C₂×Dic₄₃	—	2	1	no	—
597	C₂×Dic₄₃	—	2	1	no	—
598	C₂×Dic₄₃	—	2	1	no	—
599	C₂×Dic₄₃	—	2	1	no	—
600	C₂×Dic₄₃	—	2	1	no	—
601	C₂×Dic₄₃	—	2	1	no	—
602	C₂×Dic₄₃	—	2	1	no	—
603	C₂×Dic₄₃	—	2	1	no	—
604	C₂×Dic₄₃	—	2	1	no	—
605	C₂×Dic₄₃	—	2	1	no	—
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	C₂×#41	1	2	yes	—
621	C₂×Dic₄₃	C₂×#41	1	2	yes	—
622	C₂×Dic₄₃	C₂×#41	1	2	yes	—
623	C₂×Dic₄₃	2₋¹⁺⁴	1	2	yes	—
624	C₄×D₄₃	—	2	8	no	—
625	C₄×D₄₃	—	2	8	no	—
626	C₄×D₄₃	—	4	4	no	—
627	C₄×D₄₃	—	4	4	no	—
628	C₄×D₄₃	—	4	4	no	—
629	C₄×D₄₃	—	4	4	no	—
630	C₄×D₄₃	—	4	4	no	—
631	Dic₈₆	—	4	4	no	—
632	#35021	—	43	1	no	maximal, Sylow
633	C₂²×C₄₃	—	4	1	no	—
634	C₂²×C₄₃	—	4	1	no	—
635	C₂²×C₄₃	—	4	1	no	—
636	C₂²×C₄₃	—	4	1	no	—
637	C₂²×C₄₃	—	4	1	no	—
638	C₂²×C₄₃	—	4	1	no	—
639	C₂²×C₄₃	—	4	1	no	—
640	C₂²×C₄₃	—	4	1	no	—
641	C₂²×C₄₃	—	4	1	no	—
642	C₂²×C₄₃	—	4	1	no	—
643	C₂²×C₄₃	—	4	1	no	—
644	C₂²×C₄₃	—	4	1	no	—
645	C₂²×C₄₃	—	4	1	no	—
646	C₂²×C₄₃	—	4	1	no	—
647	C₂²×C₄₃	C₂²×#41	1	1	yes	characteristic
648	C₂²×C₄₃	C₂²×#41	1	1	yes	characteristic
649	C₂²×C₄₃	C₂²×#41	1	1	yes	characteristic
650	C₂²×C₄₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
651	C₂²×C₄₃	C₂×2₋¹⁺⁴	1	1	yes	characteristic
652	C₂²×C₄₃	#585	1	1	yes	characteristic
653	C₂²×C₄₃	#585	1	1	yes	characteristic
654	C₂×D₄₃	—	2	2	no	—
655	C₂×D₄₃	—	2	2	no	—
656	C₂×D₄₃	—	2	2	no	—
657	C₂×D₄₃	—	2	2	no	—
658	C₂×D₄₃	—	2	2	no	—
659	C₂×D₄₃	—	2	2	no	—
660	C₂×D₄₃	#529	1	4	yes	—
661	C₄×C₄₃	—	2	2	no	—
662	C₄×C₄₃	—	2	2	no	—
663	C₄×C₄₃	—	2	2	no	—
664	C₄×C₄₃	—	2	2	no	—
665	C₄×C₄₃	—	4	1	no	—
666	C₄×C₄₃	—	4	1	no	—
667	C₄×C₄₃	—	4	1	no	—
668	C₄×C₄₃	—	4	1	no	—
669	C₄×C₄₃	—	4	1	no	—
670	C₄×C₄₃	—	4	1	no	—
671	C₄×C₄₃	—	4	1	no	—
672	C₄×C₄₃	—	4	1	no	—
673	C₄×C₄₃	—	4	1	no	—
674	Dic₄₃	—	2	2	no	—
675	Dic₄₃	—	2	2	no	—
676	Dic₄₃	—	2	2	no	—
677	Dic₄₃	—	2	2	no	—
678	Dic₄₃	—	4	1	no	—
679	Dic₄₃	—	4	1	no	—
680	Dic₄₃	—	4	1	no	—
681	Dic₄₃	—	4	1	no	—
682	Dic₄₃	—	4	1	no	—
683	Dic₄₃	—	4	1	no	—
684	Dic₄₃	—	4	1	no	—
685	Dic₄₃	—	4	1	no	—
686	Dic₄₃	—	4	1	no	—
687	Dic₄₃	—	4	1	no	—
688	Dic₄₃	—	4	1	no	—
689	#2853	—	43	1	no	—
690	#2853	—	43	1	no	—
691	#2852	—	43	1	no	—
692	#2852	—	43	1	no	—
693	#2646	—	43	1	no	—
694	#2639	—	43	1	no	—
695	#2627	—	43	1	no	—
696	#2618	—	43	1	no	—
697	#2593	—	43	1	no	—
698	#2593	—	43	1	no	—
699	#2585	—	43	1	no	—
700	#2585	—	43	1	no	—
701	#2574	—	43	1	no	—
702	#2574	—	43	1	no	—
703	#2573	—	43	1	no	—
704	#2573	—	43	1	no	—
705	#2525	—	43	1	no	—
706	#2525	—	43	1	no	—
707	#2524	—	43	1	no	—
708	#2524	—	43	1	no	—
709	#2469	—	43	1	no	—
710	#2469	—	43	1	no	—
711	#2468	—	43	1	no	—
712	#2468	D₄₃	1	1	yes	characteristic, complemented
713	#2322	—	43	1	no	—
714	#2322	—	43	1	no	—
715	#2318	—	43	1	no	—
716	#2318	—	43	1	no	—
717	C₄×C₂²⋊Q₈	—	43	1	no	—
718	C₄×#121	—	43	1	no	—
719	C₂×C₄×C₄⋊C₄	—	43	1	no	—
720	C₂×C₄₃	—	8	1	no	—
721	C₂×C₄₃	—	8	1	no	—
722	C₂×C₄₃	C₂×#529	1	1	yes	characteristic
723	C₂×C₄₃	#3459	1	1	yes	characteristic
724	C₂×C₄₃	#3461	1	1	yes	characteristic
725	C₂×C₄₃	#3492	1	1	yes	characteristic
726	C₂×C₄₃	#3493	1	1	yes	characteristic
727	C₂×C₄₃	#3505	1	1	yes	characteristic
728	C₂×C₄₃	#3507	1	1	yes	characteristic
729	D₄₃	—	2	4	no	—
730	C₂×#126	—	43	1	no	—
731	C₂×#126	C₂×D₄₃	1	1	yes	characteristic
732	C₂×#123	—	43	1	no	—
733	C₂×#123	—	43	1	no	—
734	C₂×C₂²⋊Q₈	—	43	1	no	—
735	C₂×#121	—	43	1	no	—
736	C₂×C₄×Q₈	—	43	1	no	—
737	C₂×C₄×D₄	—	43	1	no	—
738	C₂×C₄×D₄	—	43	1	no	—
739	C₂×C₄×D₄	C₂×D₄₃	1	1	yes	characteristic
740	C₂²×C₄⋊C₄	—	43	1	no	—
741	C₂²×C₄⋊C₄	—	43	1	no	—
742	C₂²×C₄²	—	43	1	no	—
743	C₂²×C₄²	—	43	1	no	—
744	C₂²×C₄²	—	43	1	no	—
745	#400	—	43	1	no	—
746	#400	—	43	1	no	—
747	#400	—	43	1	no	—
748	#400	—	43	1	no	—
749	#400	—	43	1	no	—
750	#400	—	43	1	no	—
751	#400	—	43	1	no	—
752	#400	—	43	1	no	—
753	#398	—	43	1	no	—
754	#398	—	43	1	no	—
755	#398	—	43	1	no	—
756	#398	—	43	1	no	—
757	#398	—	43	1	no	—
758	#398	—	43	1	no	—
759	#398	—	43	1	no	—
760	#398	—	43	1	no	—
761	#398	C₂×D₄₃	1	1	yes	characteristic
762	#398	C₂×D₄₃	1	1	yes	characteristic
763	#397	—	43	1	no	—
764	#397	—	43	1	no	—
765	#396	—	43	1	no	—
766	#396	—	43	1	no	—
767	#396	—	43	1	no	—
768	#396	—	43	1	no	—
769	#395	—	43	1	no	—
770	#395	—	43	1	no	—
771	#394	—	43	1	no	—
772	#394	—	43	1	no	—
773	#394	C₂×D₄₃	1	1	yes	characteristic
774	#394	C₂×D₄₃	1	1	yes	characteristic
775	#393	—	43	1	no	—
776	#393	—	43	1	no	—
777	#391	—	43	1	no	—
778	#390	—	43	1	no	—
779	#389	—	43	1	no	—
780	#389	—	43	1	no	—
781	#389	—	43	1	no	—
782	#389	—	43	1	no	—
783	#389	—	43	1	no	—
784	#389	—	43	1	no	—
785	#388	—	43	1	no	—
786	#388	—	43	1	no	—
787	#388	—	43	1	no	—
788	#388	—	43	1	no	—
789	#388	—	43	1	no	—
790	#388	—	43	1	no	—
791	#388	—	43	1	no	—
792	#388	—	43	1	no	—
793	#388	—	43	1	no	—
794	#388	—	43	1	no	—
795	#388	—	43	1	no	—
796	#388	—	43	1	no	—
797	#388	—	43	1	no	—
798	#388	—	43	1	no	—
799	#388	—	43	1	no	—
800	#388	—	43	1	no	—
801	#388	—	43	1	no	—
802	#388	—	43	1	no	—
803	#388	—	43	1	no	—
804	#388	—	43	1	no	—
805	#388	—	43	1	no	—
806	#388	C₂×D₄₃	1	1	yes	characteristic
807	#388	C₂×D₄₃	1	1	yes	characteristic
808	#388	C₂×D₄₃	1	1	yes	characteristic
809	#387	—	43	1	no	—
810	#387	—	43	1	no	—
811	#387	—	43	1	no	—
812	#387	—	43	1	no	—
813	#387	—	43	1	no	—
814	#387	—	43	1	no	—
815	#387	—	43	1	no	—
816	#387	—	43	1	no	—
817	#387	—	43	1	no	—
818	#387	—	43	1	no	—
819	#387	—	43	1	no	—
820	#387	—	43	1	no	—
821	#387	—	43	1	no	—
822	#387	—	43	1	no	—
823	#387	—	43	1	no	—
824	#387	—	43	1	no	—
825	#387	—	43	1	no	—
826	#387	—	43	1	no	—
827	#387	—	43	1	no	—
828	#387	—	43	1	no	—
829	#387	—	43	1	no	—
830	#387	—	43	1	no	—
831	#387	—	43	1	no	—
832	#387	C₂×D₄₃	1	1	yes	characteristic
833	#386	—	43	1	no	—
834	#386	—	43	1	no	—
835	#386	—	43	1	no	—
836	#386	—	43	1	no	—
837	#386	—	43	1	no	—
838	#386	—	43	1	no	—
839	#386	—	43	1	no	—
840	#386	—	43	1	no	—
841	#385	—	43	1	no	—
842	#385	—	43	1	no	—
843	#385	—	43	1	no	—
844	#385	—	43	1	no	—
845	#385	—	43	1	no	—
846	#385	—	43	1	no	—
847	#385	—	43	1	no	—
848	#385	—	43	1	no	—
849	#385	—	43	1	no	—
850	#385	—	43	1	no	—
851	#385	C₂×D₄₃	1	1	yes	characteristic
852	#385	C₂×D₄₃	1	1	yes	characteristic
853	#383	—	43	1	no	—
854	#383	—	43	1	no	—
855	#383	—	43	1	no	—
856	#383	—	43	1	no	—
857	#382	—	43	1	no	—
858	#382	—	43	1	no	—
859	#381	—	43	1	no	—
860	#381	—	43	1	no	—
861	#381	—	43	1	no	—
862	#381	C₂×D₄₃	1	1	yes	characteristic
863	#380	—	43	1	no	—
864	#380	—	43	1	no	—
865	#380	—	43	1	no	—
866	#380	C₂×D₄₃	1	1	yes	characteristic
867	C₄×C₄⋊C₄	—	43	1	no	—
868	C₄×C₄⋊C₄	—	43	1	no	—
869	C₄×C₄⋊C₄	—	43	1	no	—
870	C₄×C₄⋊C₄	—	43	1	no	—
871	C₄×C₄⋊C₄	—	43	1	no	—
872	C₄×C₄⋊C₄	—	43	1	no	—
873	C₄×C₄⋊C₄	—	43	1	no	—
874	C₄×C₄⋊C₄	—	43	1	no	—
875	C₄×C₄⋊C₄	—	43	1	no	—
876	C₄×C₄⋊C₄	—	43	1	no	—
877	C₄×C₄⋊C₄	—	43	1	no	—
878	C₄×C₄⋊C₄	C₂×D₄₃	1	1	yes	characteristic
879	C₄×C₂²⋊C₄	—	43	1	no	—
880	C₄×C₂²⋊C₄	—	43	1	no	—
881	C₄×C₂²⋊C₄	—	43	1	no	—
882	C₄×C₂²⋊C₄	—	43	1	no	—
883	C₂×#95	—	43	1	no	—
884	C₂×#95	—	43	1	no	—
885	C₄₃	#35021	1	1	yes	characteristic, complemented, Sylow
886	C₂²×Q₈	—	43	1	no	—
887	C₂²×D₄	—	43	1	no	—
888	C₂²×D₄	—	43	1	no	—
889	C₂²×D₄	C₂²×D₄₃	1	1	yes	characteristic
890	C₂³×C₄	—	43	1	no	—
891	C₂³×C₄	—	43	1	no	—
892	C₂³×C₄	—	43	1	no	—
893	C₂³×C₄	—	43	1	no	—
894	C₂³×C₄	—	43	1	no	—
895	C₂³×C₄	—	43	1	no	—
896	C₂³×C₄	—	43	1	no	—
897	C₂³×C₄	C₂²×D₄₃	1	1	yes	characteristic
898	C₂³×C₄	C₂²×D₄₃	1	1	yes	characteristic
899	#126	—	4	2	no	—
900	#126	—	172	2	no	—
901	#123	—	86	4	no	—
902	#123	—	86	4	no	—
903	C₂²⋊Q₈	—	86	4	no	—
904	#121	—	86	4	no	—
905	C₄×Q₈	—	172	2	no	—
906	C₄×D₄	—	4	2	no	—
907	C₄×D₄	—	86	4	no	—
908	C₄×D₄	—	86	4	no	—
909	C₂×C₄⋊C₄	—	43	1	no	—
910	C₂×C₄⋊C₄	—	43	1	no	—
911	C₂×C₄⋊C₄	—	43	1	no	—
912	C₂×C₄⋊C₄	—	43	1	no	—
913	C₂×C₄⋊C₄	—	43	1	no	—
914	C₂×C₄⋊C₄	—	43	1	no	—
915	C₂×C₄⋊C₄	—	43	1	no	—
916	C₂×C₄⋊C₄	—	43	1	no	—
917	C₂×C₄⋊C₄	—	43	1	no	—
918	C₂×C₄⋊C₄	—	43	1	no	—
919	C₂×C₄⋊C₄	—	43	1	no	—
920	C₂×C₄⋊C₄	—	43	1	no	—
921	C₂×C₄⋊C₄	—	43	1	no	—
922	C₂×C₄⋊C₄	—	43	1	no	—
923	C₂×C₄⋊C₄	—	43	1	no	—
924	C₂×C₄⋊C₄	—	43	1	no	—
925	C₂×C₄⋊C₄	—	43	1	no	—
926	C₂×C₄⋊C₄	—	43	1	no	—
927	C₂×C₄⋊C₄	—	43	1	no	—
928	C₂×C₄⋊C₄	—	43	1	no	—
929	C₂×C₄⋊C₄	—	43	1	no	—
930	C₂×C₄⋊C₄	—	43	1	no	—
931	C₂×C₄⋊C₄	—	43	1	no	—
932	C₂×C₄⋊C₄	—	43	1	no	—
933	C₂×C₄⋊C₄	—	43	1	no	—
934	C₂×C₄⋊C₄	—	43	1	no	—
935	C₂×C₄⋊C₄	—	43	1	no	—
936	C₂×C₄⋊C₄	—	43	1	no	—
937	C₂×C₄⋊C₄	—	43	1	no	—
938	C₂×C₄⋊C₄	—	86	4	no	—
939	C₂×C₄⋊C₄	—	86	4	no	—
940	C₂×C₄⋊C₄	C₂²×D₄₃	1	1	yes	characteristic
941	C₂×C₄⋊C₄	C₂²×D₄₃	1	1	yes	characteristic
942	C₂×C₄⋊C₄	C₂²×D₄₃	1	1	yes	characteristic
943	C₂×C₄⋊C₄	C₂²×D₄₃	1	1	yes	characteristic
944	C₂×C₄⋊C₄	C₂²×D₄₃	1	1	yes	characteristic
945	C₂×C₄⋊C₄	C₂²×D₄₃	1	1	yes	characteristic
946	C₂×C₄⋊C₄	C₂²×D₄₃	1	1	yes	characteristic
947	C₂×C₄⋊C₄	C₂²×D₄₃	1	1	yes	characteristic
948	C₂×C₄⋊C₄	C₂²×D₄₃	1	1	yes	characteristic
949	C₂×C₂²⋊C₄	—	43	1	no	—
950	C₂×C₂²⋊C₄	—	43	1	no	—
951	C₂×C₂²⋊C₄	—	43	1	no	—
952	C₂×C₂²⋊C₄	—	43	1	no	—
953	C₂×C₂²⋊C₄	—	43	1	no	—
954	C₂×C₂²⋊C₄	—	43	1	no	—
955	C₂×C₂²⋊C₄	—	43	1	no	—
956	C₂×C₂²⋊C₄	—	43	1	no	—
957	C₂×C₂²⋊C₄	—	43	1	no	—
958	C₂×C₂²⋊C₄	—	43	1	no	—
959	C₂×C₂²⋊C₄	—	43	1	no	—
960	C₂×C₂²⋊C₄	—	43	1	no	—
961	C₂×C₂²⋊C₄	—	43	1	no	—
962	C₂×C₂²⋊C₄	—	43	1	no	—
963	C₂×C₂²⋊C₄	—	43	1	no	—
964	C₂×C₂²⋊C₄	—	43	1	no	—
965	C₂×C₂²⋊C₄	—	43	1	no	—
966	C₂×C₂²⋊C₄	—	43	1	no	—
967	C₂×C₂²⋊C₄	—	43	1	no	—
968	C₂×C₂²⋊C₄	—	43	1	no	—
969	C₂×C₂²⋊C₄	C₂²×D₄₃	1	1	yes	characteristic
970	C₂×C₂²⋊C₄	C₂²×D₄₃	1	1	yes	characteristic
971	C₂×C₂²⋊C₄	C₂²×D₄₃	1	1	yes	characteristic
972	C₂×C₂²⋊C₄	C₂²×D₄₃	1	1	yes	characteristic
973	C₂×C₂²⋊C₄	C₂²×D₄₃	1	1	yes	characteristic
974	C₂×C₂²⋊C₄	C₂²×D₄₃	1	1	yes	characteristic
975	C₂×C₂²⋊C₄	C₂²×D₄₃	1	1	yes	characteristic
976	C₂×C₂²⋊C₄	C₂²×D₄₃	1	1	yes	characteristic
977	C₂×C₂²⋊C₄	C₂²×D₄₃	1	1	yes	characteristic
978	C₂×C₂²⋊C₄	C₂²×D₄₃	1	1	yes	characteristic
979	C₂×C₄²	—	43	1	no	—
980	C₂×C₄²	—	43	1	no	—
981	C₂×C₄²	—	43	1	no	—
982	C₂×C₄²	—	43	1	no	—
983	C₂×C₄²	—	43	1	no	—
984	C₂×C₄²	—	43	1	no	—
985	C₂×C₄²	—	43	1	no	—
986	C₂×C₄²	—	43	1	no	—
987	C₂×C₄²	—	43	1	no	—
988	C₂×C₄²	—	43	1	no	—
989	C₂×C₄²	—	43	1	no	—
990	C₂×C₄²	—	43	1	no	—
991	C₂×C₄²	—	43	1	no	—
992	C₂×C₄²	—	43	1	no	—
993	C₂×C₄²	—	43	1	no	—
994	C₂×C₄²	—	86	4	no	—
995	C₂×C₄²	—	172	2	no	—
996	C₂×C₄²	—	172	2	no	—
997	C₂×C₄²	C₂²×D₄₃	1	1	yes	characteristic
998	C₂×C₄²	C₂²×D₄₃	1	1	yes	characteristic
999	C₂×C₄²	C₂²×D₄₃	1	1	yes	characteristic
1000	#95	—	43	1	no	—
1001	#95	—	43	1	no	—
1002	#95	—	43	1	no	—
1003	#95	—	43	1	no	—
1004	#95	—	43	1	no	—
1005	#95	—	43	1	no	—
1006	#95	—	43	1	no	—
1007	#95	—	43	1	no	—
1008	#95	—	43	1	no	—
1009	#95	—	43	1	no	—
1010	#95	—	43	1	no	—
1011	#95	—	43	1	no	—
1012	#95	—	43	1	no	—
1013	#95	—	43	1	no	—
1014	#95	—	43	1	no	—
1015	#95	—	43	1	no	—
1016	#95	—	43	1	no	—
1017	#95	—	43	1	no	—
1018	#95	—	43	1	no	—
1019	#95	—	43	1	no	—
1020	#95	—	43	1	no	—
1021	#95	—	43	1	no	—
1022	#95	—	43	1	no	—
1023	#95	—	43	1	no	—
1024	#95	—	43	1	no	—
1025	#95	—	43	1	no	—
1026	#95	—	43	1	no	—
1027	#95	—	43	1	no	—
1028	#95	—	43	1	no	—
1029	#95	—	43	1	no	—
1030	#95	—	43	1	no	—
1031	#95	—	43	1	no	—
1032	#95	—	43	1	no	—
1033	#95	—	43	1	no	—
1034	#95	—	43	1	no	—
1035	#95	—	43	1	no	—
1036	#95	—	43	1	no	—
1037	#95	—	43	1	no	—
1038	#95	—	43	1	no	—
1039	#95	—	43	1	no	—
1040	#95	—	43	1	no	—
1041	#95	—	43	1	no	—
1042	#95	—	43	1	no	—
1043	#95	—	43	1	no	—
1044	#95	—	43	1	no	—
1045	#95	—	43	1	no	—
1046	#95	C₂²×D₄₃	1	1	yes	characteristic
1047	#95	C₂²×D₄₃	1	1	yes	characteristic
1048	#95	C₂²×D₄₃	1	1	yes	characteristic
1049	#95	C₂²×D₄₃	1	1	yes	characteristic
1050	#95	C₂²×D₄₃	1	1	yes	characteristic
1051	#95	C₂²×D₄₃	1	1	yes	characteristic
1052	#95	C₂²×D₄₃	1	1	yes	characteristic
1053	#95	C₂²×D₄₃	1	1	yes	characteristic
1054	#95	C₂²×D₄₃	1	1	yes	characteristic
1055	#95	C₂²×D₄₃	1	1	yes	characteristic
1056	C₂⁴	—	43	1	no	—
1057	C₂⁴	C₂³×D₄₃	1	1	yes	characteristic
1058	C₂⁴	C₂³×D₄₃	1	1	yes	characteristic
1059	C₂×Q₈	—	86	2	no	—
1060	C₂×Q₈	—	172	1	no	—
1061	C₂×Q₈	—	172	1	no	—
1062	C₂×D₄	—	2	2	no	—
1063	C₂×D₄	—	4	1	no	—
1064	C₂×D₄	—	4	1	no	—
1065	C₂×D₄	—	86	2	no	—
1066	C₂×D₄	—	86	2	no	—
1067	C₂×D₄	—	86	2	no	—
1068	C₂×D₄	—	86	2	no	—
1069	C₂×D₄	—	86	2	no	—
1070	C₂×D₄	—	86	2	no	—
1071	C₂²×C₄	—	2	2	no	—
1072	C₂²×C₄	—	2	2	no	—
1073	C₂²×C₄	—	4	1	no	—
1074	C₂²×C₄	—	4	1	no	—
1075	C₂²×C₄	—	4	1	no	—
1076	C₂²×C₄	—	4	1	no	—
1077	C₂²×C₄	—	43	1	no	—
1078	C₂²×C₄	—	43	1	no	—
1079	C₂²×C₄	—	43	1	no	—
1080	C₂²×C₄	—	43	1	no	—
1081	C₂²×C₄	—	43	4	no	—
1082	C₂²×C₄	—	43	4	no	—
1083	C₂²×C₄	—	43	4	no	—
1084	C₂²×C₄	—	43	1	no	—
1085	C₂²×C₄	—	43	1	no	—
1086	C₂²×C₄	—	43	1	no	—
1087	C₂²×C₄	—	43	1	no	—
1088	C₂²×C₄	—	43	1	no	—
1089	C₂²×C₄	—	43	1	no	—
1090	C₂²×C₄	—	43	1	no	—
1091	C₂²×C₄	—	43	1	no	—
1092	C₂²×C₄	—	43	1	no	—
1093	C₂²×C₄	—	43	1	no	—
1094	C₂²×C₄	—	43	1	no	—
1095	C₂²×C₄	—	86	2	no	—
1096	C₂²×C₄	—	86	2	no	—
1097	C₂²×C₄	—	86	2	no	—
1098	C₂²×C₄	—	86	2	no	—
1099	C₂²×C₄	—	86	2	no	—
1100	C₂²×C₄	—	86	2	no	—
1101	C₂²×C₄	—	86	2	no	—
1102	C₂²×C₄	—	86	2	no	—
1103	C₂²×C₄	—	172	1	no	—
1104	C₂²×C₄	—	172	1	no	—
1105	C₂²×C₄	—	172	1	no	—
1106	C₂²×C₄	—	172	1	no	—
1107	C₂²×C₄	—	172	1	no	—
1108	C₂²×C₄	—	172	1	no	—
1109	C₂²×C₄	—	172	1	no	—
1110	C₂²×C₄	—	172	1	no	—
1111	C₂²×C₄	—	172	1	no	—
1112	C₂²×C₄	—	172	1	no	—
1113	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
1114	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
1115	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
1116	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
1117	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
1118	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
1119	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
1120	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
1121	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
1122	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
1123	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
1124	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
1125	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
1126	C₄⋊C₄	—	2	2	no	—
1127	C₄⋊C₄	—	2	2	no	—
1128	C₄⋊C₄	—	2	2	no	—
1129	C₄⋊C₄	—	2	2	no	—
1130	C₄⋊C₄	—	4	1	no	—
1131	C₄⋊C₄	—	4	1	no	—
1132	C₄⋊C₄	—	4	1	no	—
1133	C₄⋊C₄	—	4	1	no	—
1134	C₄⋊C₄	—	4	1	no	—
1135	C₄⋊C₄	—	86	2	no	—
1136	C₄⋊C₄	—	86	2	no	—
1137	C₄⋊C₄	—	86	2	no	—
1138	C₄⋊C₄	—	86	2	no	—
1139	C₄⋊C₄	—	86	2	no	—
1140	C₄⋊C₄	—	86	2	no	—
1141	C₄⋊C₄	—	86	2	no	—
1142	C₄⋊C₄	—	86	2	no	—
1143	C₄⋊C₄	—	86	2	no	—
1144	C₄⋊C₄	—	86	2	no	—
1145	C₄⋊C₄	—	86	2	no	—
1146	C₄⋊C₄	—	86	2	no	—
1147	C₄⋊C₄	—	86	2	no	—
1148	C₄⋊C₄	—	86	2	no	—
1149	C₄⋊C₄	—	86	2	no	—
1150	C₄⋊C₄	—	86	2	no	—
1151	C₄⋊C₄	—	86	2	no	—
1152	C₄⋊C₄	—	86	2	no	—
1153	C₄⋊C₄	—	172	1	no	—
1154	C₄⋊C₄	—	172	1	no	—
1155	C₄⋊C₄	—	172	1	no	—
1156	C₄⋊C₄	—	172	1	no	—
1157	C₄⋊C₄	—	172	1	no	—
1158	C₄⋊C₄	—	172	1	no	—
1159	C₄⋊C₄	—	172	1	no	—
1160	C₄⋊C₄	—	172	1	no	—
1161	C₄⋊C₄	—	172	1	no	—
1162	C₄⋊C₄	—	172	1	no	—
1163	C₄⋊C₄	—	172	1	no	—
1164	C₂²⋊C₄	—	2	2	no	—
1165	C₂²⋊C₄	—	2	2	no	—
1166	C₂²⋊C₄	—	2	2	no	—
1167	C₂²⋊C₄	—	2	2	no	—
1168	C₂²⋊C₄	—	4	1	no	—
1169	C₂²⋊C₄	—	4	1	no	—
1170	C₂²⋊C₄	—	4	1	no	—
1171	C₂²⋊C₄	—	4	1	no	—
1172	C₂²⋊C₄	—	4	1	no	—
1173	C₂²⋊C₄	—	4	1	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	—	86	2	no	—
1180	C₂²⋊C₄	—	86	2	no	—
1181	C₂²⋊C₄	—	86	2	no	—
1182	C₂²⋊C₄	—	86	2	no	—
1183	C₂²⋊C₄	—	86	2	no	—
1184	C₂²⋊C₄	—	86	2	no	—
1185	C₂²⋊C₄	—	86	2	no	—
1186	C₂²⋊C₄	—	86	2	no	—
1187	C₂²⋊C₄	—	86	2	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	C₄²	—	2	2	no	—
1195	C₄²	—	2	2	no	—
1196	C₄²	—	2	2	no	—
1197	C₄²	—	86	2	no	—
1198	C₄²	—	86	2	no	—
1199	C₄²	—	86	2	no	—
1200	C₄²	—	86	2	no	—
1201	C₄²	—	86	2	no	—
1202	C₄²	—	86	2	no	—
1203	C₄²	—	86	2	no	—
1204	C₄²	—	172	1	no	—
1205	C₄²	—	172	1	no	—
1206	C₄²	—	172	1	no	—
1207	C₄²	—	172	1	no	—
1208	C₄²	—	172	1	no	—
1209	C₄²	—	172	1	no	—
1210	C₄²	—	172	1	no	—
1211	C₄²	—	172	1	no	—
1212	C₂³	—	2	1	no	—
1213	C₂³	—	2	1	no	—
1214	C₂³	—	2	1	no	—
1215	C₂³	—	2	1	no	—
1216	C₂³	—	2	1	no	—
1217	C₂³	—	2	1	no	—
1218	C₂³	—	2	1	no	—
1219	C₂³	—	2	1	no	—
1220	C₂³	—	2	1	no	—
1221	C₂³	—	2	1	no	—
1222	C₂³	—	2	1	no	—
1223	C₂³	—	2	1	no	—
1224	C₂³	—	2	1	no	—
1225	C₂³	—	2	1	no	—
1226	C₂³	—	43	2	no	—
1227	C₂³	—	43	2	no	—
1228	C₂³	—	43	2	no	—
1229	C₂³	—	86	1	no	—
1230	C₂³	—	86	1	no	—
1231	C₂³	—	86	1	no	—
1232	C₂³	—	86	1	no	—
1233	C₂³	C₂⁴×D₄₃	1	1	yes	characteristic
1234	Q₈	—	172	4	no	—
1235	D₄	—	4	4	no	—
1236	D₄	—	172	4	no	—
1237	D₄	—	172	4	no	—
1238	C₂×C₄	—	2	1	no	—
1239	C₂×C₄	—	2	1	no	—
1240	C₂×C₄	—	2	1	no	—
1241	C₂×C₄	—	2	1	no	—
1242	C₂×C₄	—	2	1	no	—
1243	C₂×C₄	—	2	1	no	—
1244	C₂×C₄	—	2	1	no	—
1245	C₂×C₄	—	2	1	no	—
1246	C₂×C₄	—	2	1	no	—
1247	C₂×C₄	—	2	1	no	—
1248	C₂×C₄	—	2	1	no	—
1249	C₂×C₄	—	2	1	no	—
1250	C₂×C₄	—	2	1	no	—
1251	C₂×C₄	—	2	1	no	—
1252	C₂×C₄	—	2	1	no	—
1253	C₂×C₄	—	2	1	no	—
1254	C₂×C₄	—	2	1	no	—
1255	C₂×C₄	—	2	1	no	—
1256	C₂×C₄	—	2	1	no	—
1257	C₂×C₄	—	2	1	no	—
1258	C₂×C₄	—	2	1	no	—
1259	C₂×C₄	—	2	1	no	—
1260	C₂×C₄	—	2	1	no	—
1261	C₂×C₄	—	2	1	no	—
1262	C₂×C₄	—	2	1	no	—
1263	C₂×C₄	—	2	1	no	—
1264	C₂×C₄	—	2	1	no	—
1265	C₂×C₄	—	2	1	no	—
1266	C₂×C₄	—	2	1	no	—
1267	C₂×C₄	—	2	1	no	—
1268	C₂×C₄	—	2	1	no	—
1269	C₂×C₄	—	2	1	no	—
1270	C₂×C₄	—	2	1	no	—
1271	C₂×C₄	—	2	1	no	—
1272	C₂×C₄	—	2	1	no	—
1273	C₂×C₄	—	8	2	no	—
1274	C₂×C₄	—	8	2	no	—
1275	C₂×C₄	—	43	2	no	—
1276	C₂×C₄	—	43	2	no	—
1277	C₂×C₄	—	43	2	no	—
1278	C₂×C₄	—	43	2	no	—
1279	C₂×C₄	—	86	8	no	—
1280	C₂×C₄	—	86	8	no	—
1281	C₂×C₄	—	86	1	no	—
1282	C₂×C₄	—	86	1	no	—
1283	C₂×C₄	—	86	1	no	—
1284	C₂×C₄	—	86	1	no	—
1285	C₂×C₄	—	86	1	no	—
1286	C₂×C₄	—	86	1	no	—
1287	C₂×C₄	—	86	1	no	—
1288	C₂×C₄	—	86	1	no	—
1289	C₂×C₄	—	86	1	no	—
1290	C₂×C₄	—	86	1	no	—
1291	C₂×C₄	—	86	1	no	—
1292	C₂×C₄	—	86	1	no	—
1293	C₂×C₄	—	86	1	no	—
1294	C₂×C₄	—	86	1	no	—
1295	C₂×C₄	—	86	1	no	—
1296	C₂×C₄	—	86	1	no	—
1297	C₂×C₄	—	86	1	no	—
1298	C₂×C₄	—	86	1	no	—
1299	C₂×C₄	—	86	1	no	—
1300	C₂×C₄	—	86	1	no	—
1301	C₂×C₄	—	86	1	no	—
1302	C₂×C₄	—	86	1	no	—
1303	C₂×C₄	—	86	1	no	—
1304	C₂×C₄	—	86	1	no	—
1305	C₂×C₄	—	86	1	no	—
1306	C₂×C₄	—	86	1	no	—
1307	C₂×C₄	—	86	1	no	—
1308	C₂×C₄	—	86	1	no	—
1309	C₂×C₄	—	86	1	no	—
1310	C₂×C₄	—	86	1	no	—
1311	C₂×C₄	—	86	1	no	—
1312	C₂×C₄	—	86	1	no	—
1313	C₂×C₄	—	86	1	no	—
1314	C₂×C₄	—	86	1	no	—
1315	C₂×C₄	—	86	1	no	—
1316	C₂×C₄	—	86	1	no	—
1317	C₂×C₄	—	86	1	no	—
1318	C₂×C₄	—	86	1	no	—
1319	C₂×C₄	—	86	1	no	—
1320	C₂×C₄	—	86	1	no	—
1321	C₂×C₄	—	86	1	no	—
1322	C₂×C₄	—	172	4	no	—
1323	C₂×C₄	—	172	4	no	—
1324	C₂×C₄	—	172	4	no	—
1325	C₂×C₄	—	172	4	no	—
1326	C₂×C₄	—	172	4	no	—
1327	C₂×C₄	#41×D₄₃	1	2	yes	—
1328	C₂×C₄	#41×D₄₃	1	2	yes	—
1329	C₂×C₄	#41×D₄₃	1	2	yes	—
1330	C₂×C₄	#13063370	1	2	yes	—
1331	C₂²	—	4	1	no	—
1332	C₂²	—	4	1	no	—
1333	C₂²	—	4	1	no	—
1334	C₂²	—	4	1	no	—
1335	C₂²	—	4	1	no	—
1336	C₂²	—	4	1	no	—
1337	C₂²	—	4	1	no	—
1338	C₂²	—	4	1	no	—
1339	C₂²	—	4	1	no	—
1340	C₂²	—	4	1	no	—
1341	C₂²	—	4	1	no	—
1342	C₂²	—	4	1	no	—
1343	C₂²	—	4	1	no	—
1344	C₂²	—	4	1	no	—
1345	C₂²	—	43	4	no	—
1346	C₂²	—	86	2	no	—
1347	C₂²	—	86	2	no	—
1348	C₂²	—	86	2	no	—
1349	C₂²	—	86	2	no	—
1350	C₂²	—	86	2	no	—
1351	C₂²	—	86	2	no	—
1352	C₂²	C₂×#41×D₄₃	1	1	yes	characteristic
1353	C₂²	C₂×#41×D₄₃	1	1	yes	characteristic
1354	C₂²	C₂×#41×D₄₃	1	1	yes	characteristic
1355	C₂²	C₂×#13063370	1	1	yes	characteristic
1356	C₂²	2₋¹⁺⁴×D₄₃	1	1	yes	characteristic
1357	C₂²	#14583734	1	1	yes	characteristic
1358	C₂²	#14583735	1	1	yes	characteristic
1359	C₄	—	2	2	no	—
1360	C₄	—	2	2	no	—
1361	C₄	—	2	2	no	—
1362	C₄	—	2	2	no	—
1363	C₄	—	4	1	no	—
1364	C₄	—	4	1	no	—
1365	C₄	—	4	1	no	—
1366	C₄	—	4	1	no	—
1367	C₄	—	4	1	no	—
1368	C₄	—	4	1	no	—
1369	C₄	—	4	1	no	—
1370	C₄	—	4	1	no	—
1371	C₄	—	4	1	no	—
1372	C₄	—	86	2	no	—
1373	C₄	—	86	2	no	—
1374	C₄	—	86	2	no	—
1375	C₄	—	86	2	no	—
1376	C₄	—	172	1	no	—
1377	C₄	—	172	1	no	—
1378	C₄	—	172	1	no	—
1379	C₄	—	172	1	no	—
1380	C₄	—	172	1	no	—
1381	C₄	—	172	1	no	—
1382	C₄	—	172	1	no	—
1383	C₄	—	172	1	no	—
1384	C₄	—	172	1	no	—
1385	C₄	—	172	1	no	—
1386	C₄	—	172	1	no	—
1387	C₂	—	8	1	no	—
1388	C₂	—	8	1	no	—
1389	C₂	—	86	4	no	—
1390	C₂	#529×D₄₃	1	1	yes	characteristic
1391	C₂	#19148002	1	1	yes	characteristic
1392	C₂	#19148021	1	1	yes	characteristic
1393	C₂	#19148297	1	1	yes	characteristic
1394	C₂	#19148311	1	1	yes	characteristic
1395	C₂	#19148422	1	1	yes	characteristic
1396	C₂	#19148454	1	1	yes	characteristic

	subgroup	G/H
center, Frattini	C₂³	C₂⁴×D₄₃
commutator, socle, cosocle	C₂³×C₄₃	C₂⁵
Fitting	C₄₃×#2468	C₂
prime radical	C₂×#13063296	C₂²
hypercenter	#2468	D₄₃
hypocenter	C₄₃	#35021
LCS	G ▷ C₂³×C₄₃ ▷ C₄₃
UCS	C₁ ◁ C₂³ ◁ #2468

Complements

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

N	H ≅ G/N	type
1. #19142915	C₂	semidirect
2. #19142915	C₂	semidirect
3. #19142909	C₂	semidirect
4. #19142907	C₂	semidirect
5. #19140564	C₂	semidirect
7. #19140413	C₂	semidirect
9. #19140087	C₂	semidirect
10. #19140087	C₂	semidirect
11. #19139995	C₂	semidirect
12. #19139985	C₂	semidirect
13. #19139875	C₂	semidirect
14. #19139867	C₂	semidirect
15. #19139858	C₂	semidirect
16. #19139850	C₂	semidirect
17. #19139356	C₂	semidirect
18. #19139350	C₂	semidirect
19. #19139339	C₂	semidirect
20. #19139337	C₂	semidirect
21. #19138682	C₂	semidirect
22. #19138672	C₂	semidirect
23. #19138655	C₂	semidirect
24. #19137262	C₂	semidirect
25. #19137262	C₂	semidirect
26. #19137230	C₂	semidirect
27. #19137224	C₂	semidirect
28. #19137129	C₂	semidirect
30. C₄×C₄⋊C₄×D₄₃	C₂	semidirect
31. C₄₃×#2468	C₂	semidirect
712. #2468	D₄₃	semidirect
885. C₄₃	#35021	semidirect

Maximal subgroups

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

subgroup	index
#19142915	2
#19142909	2
#19142907	2
#19140564	2
#19140526	2
#19140413	2
#19140336	2
#19140087	2
#19139995	2
#19139985	2
#19139875	2
#19139867	2
#19139858	2
#19139850	2
#19139356	2
#19139350	2
#19139339	2
#19139337	2
#19138682	2
#19138672	2
#19138655	2
#19137262	2
#19137230	2
#19137224	2
#19137129	2
C₄×#13063296	2
C₄×C₄⋊C₄×D₄₃	2
C₄₃×#2468	2
#35021	43