Subgroups — #25303723

Order 11008.

1950 conjugacy classes of subgroups.

The subgroup lattice has 1542 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#19142886	C₂	1	1	yes	maximal, characteristic, complemented
2	#19142884	C₂	1	1	yes	maximal, characteristic, complemented
3	#19141783	C₂	1	1	yes	maximal, characteristic, complemented
4	#19141761	C₂	1	1	yes	maximal, characteristic, complemented
5	#19141745	C₂	1	1	yes	maximal, characteristic, complemented
6	#19141735	C₂	1	1	yes	maximal, characteristic, complemented
7	#19141694	C₂	1	1	yes	maximal, characteristic, complemented
8	#19141686	C₂	1	1	yes	maximal, characteristic, complemented
9	#19141668	C₂	1	1	yes	maximal, characteristic, complemented
10	#19141648	C₂	1	1	yes	maximal, characteristic, complemented
11	#19141291	C₂	1	1	yes	maximal, characteristic, complemented
12	#19141288	C₂	1	1	yes	maximal, characteristic, complemented
13	#19141151	C₂	1	1	yes	maximal, characteristic, complemented
14	#19141124	C₂	1	1	yes	maximal, characteristic, complemented
15	#19141110	C₂	1	1	yes	maximal, characteristic, complemented
16	#19141103	C₂	1	1	yes	maximal, characteristic, complemented
17	#19141010	C₂	1	1	yes	maximal, characteristic, complemented
18	#19140405	C₂	1	1	yes	maximal, characteristic, complemented
19	#19140328	C₂	1	1	yes	maximal, characteristic
20	#19139160	C₂	1	1	yes	maximal, characteristic, complemented
21	#19139103	C₂	1	1	yes	maximal, characteristic, complemented
22	#19138852	C₂	1	1	yes	maximal, characteristic, complemented
23	#19138742	C₂	1	1	yes	maximal, characteristic, complemented
24	#19138414	C₂	1	1	yes	maximal, characteristic, complemented
25	#19138407	C₂	1	1	yes	maximal, characteristic, complemented
26	#19138338	C₂	1	1	yes	maximal, characteristic, complemented
27	#19138323	C₂	1	1	yes	maximal, characteristic, complemented
28	#19137254	C₂	1	1	yes	maximal, characteristic, complemented
29	#19137254	C₂	1	1	yes	maximal, characteristic, complemented
30	#380×D₄₃	C₂	1	1	yes	maximal, characteristic, complemented
31	C₄₃×#2705	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂³×C₄×D₄₃	C₂²	1	1	yes	characteristic
33	C₂×#13063315	C₂²	1	1	yes	characteristic, complemented
34	C₂×#13063307	C₂²	1	1	yes	characteristic
35	C₂×#13063307	C₂²	1	1	yes	characteristic
36	C₂×#13063306	C₂²	1	1	yes	characteristic
37	C₂×#13063306	C₂²	1	1	yes	characteristic, complemented
38	C₂×#13063303	C₂²	1	1	yes	characteristic
39	C₂×#13063302	C₂²	1	1	yes	characteristic, complemented
40	C₂×#13063296	C₂²	1	1	yes	characteristic
41	C₂×#13063293	C₂²	1	1	yes	characteristic
42	C₂×#13063293	C₂²	1	1	yes	characteristic
43	C₂×(C₂²⋊D₄₃)⋊C₄	C₂²	1	1	yes	characteristic
44	C₂×(C₂²⋊D₄₃)⋊C₄	C₂²	1	1	yes	characteristic
45	C₂×C₄⋊C₄×D₄₃	C₂²	1	1	yes	characteristic
46	C₂×C₄⋊C₄×D₄₃	C₂²	1	1	yes	characteristic
47	C₂×C₂²⋊C₄×D₄₃	C₂²	1	1	yes	characteristic
48	C₂×C₂²⋊C₄×D₄₃	C₂²	1	1	yes	characteristic
49	C₄₃⋊#401	C₂²	1	1	yes	characteristic, complemented
50	#14582841	C₂²	1	1	yes	characteristic, complemented
51	#14582841	C₂²	1	1	yes	characteristic, complemented
52	#14582841	C₂²	1	1	yes	characteristic, complemented
53	#14582840	C₂²	1	1	yes	characteristic, complemented
54	#14582840	C₂²	1	1	yes	characteristic, complemented
55	#14582840	C₂²	1	1	yes	characteristic, complemented
56	#14582838	C₂²	1	1	yes	characteristic, complemented
57	#14582838	C₂²	1	1	yes	characteristic, complemented
58	#14582837	C₂²	1	1	yes	characteristic, complemented
59	#14582835	C₂²	1	1	yes	characteristic
60	#14582835	C₂²	1	1	yes	characteristic, complemented
61	#14582834	C₂²	1	1	yes	characteristic
62	#14582833	C₂²	1	1	yes	characteristic, complemented
63	#14582832	C₂²	1	1	yes	characteristic, complemented
64	#14582832	C₂²	1	1	yes	characteristic, complemented
65	#14582832	C₂²	1	1	yes	characteristic, complemented
66	#14582830	C₂²	1	1	yes	characteristic, complemented
67	#14582830	C₂²	1	1	yes	characteristic, complemented
68	#14582830	C₂²	1	1	yes	characteristic, complemented
69	#14582827	C₂²	1	1	yes	characteristic, complemented
70	#14582827	C₂²	1	1	yes	characteristic, complemented
71	#14582827	C₂²	1	1	yes	characteristic, complemented
72	#14582827	C₂²	1	1	yes	characteristic, complemented
73	#14582826	C₂²	1	1	yes	characteristic
74	#14582824	C₂²	1	1	yes	characteristic
75	#14582824	C₂²	1	1	yes	characteristic, complemented
76	#14582824	C₂²	1	1	yes	characteristic, complemented
77	#14582822	C₂²	1	1	yes	characteristic
78	#14582822	C₂²	1	1	yes	characteristic, complemented
79	#14582822	C₂²	1	1	yes	characteristic, complemented
80	#14582821	C₂²	1	1	yes	characteristic
81	#14582821	C₂²	1	1	yes	characteristic
82	#14582819	C₂²	1	1	yes	characteristic, complemented
83	#14582814	C₂²	1	1	yes	characteristic
84	#14582814	C₂²	1	1	yes	characteristic
85	#14582813	C₂²	1	1	yes	characteristic
86	#14582813	C₂²	1	1	yes	characteristic
87	#14582812	C₂²	1	1	yes	characteristic
88	#14582811	C₂²	1	1	yes	characteristic
89	#14582811	C₂²	1	1	yes	characteristic, complemented
90	#14582807	C₂²	1	1	yes	characteristic
91	#14582804	C₂²	1	1	yes	characteristic, complemented
92	#14582799	C₂²	1	1	yes	characteristic
93	#14582799	C₂²	1	1	yes	characteristic
94	#14582797	C₂²	1	1	yes	characteristic, complemented
95	#14582795	C₂²	1	1	yes	characteristic, complemented
96	#14582793	C₂²	1	1	yes	characteristic
97	#14582793	C₂²	1	1	yes	characteristic
98	#14582793	C₂²	1	1	yes	characteristic
99	#14582793	C₂²	1	1	yes	characteristic
100	#14582793	C₂²	1	1	yes	characteristic, complemented
101	#14582793	C₂²	1	1	yes	characteristic, complemented
102	#14582792	C₂²	1	1	yes	characteristic, complemented
103	#14582792	C₂²	1	1	yes	characteristic, complemented
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	#14582786	C₂²	1	1	yes	characteristic, complemented
109	#14582785	C₂²	1	1	yes	characteristic, complemented
110	#14582785	C₂²	1	1	yes	characteristic, complemented
111	#14582784	C₂²	1	1	yes	characteristic, complemented
112	#14582783	C₂²	1	1	yes	characteristic, complemented
113	#14582783	C₂²	1	1	yes	characteristic, complemented
114	#14582782	C₂²	1	1	yes	characteristic, complemented
115	#14582780	C₂²	1	1	yes	characteristic, complemented
116	#14582780	C₂²	1	1	yes	characteristic, complemented
117	#14582780	C₂²	1	1	yes	characteristic, complemented
118	#14582779	C₂²	1	1	yes	characteristic
119	#14582779	C₂²	1	1	yes	characteristic
120	#14582779	C₂²	1	1	yes	characteristic
121	#14582779	C₂²	1	1	yes	characteristic, complemented
122	#14582776	C₂²	1	1	yes	characteristic
123	#14582776	C₂²	1	1	yes	characteristic
124	#14582775	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	#14582775	C₂²	1	1	yes	characteristic
134	#14582774	C₂²	1	1	yes	characteristic
135	#14582774	C₂²	1	1	yes	characteristic, complemented
136	#14582773	C₂²	1	1	yes	characteristic
137	#14582773	C₂²	1	1	yes	characteristic
138	#14582773	C₂²	1	1	yes	characteristic
139	#14582772	C₂²	1	1	yes	characteristic
140	#14582771	C₂²	1	1	yes	characteristic, complemented
141	#14582771	C₂²	1	1	yes	characteristic, complemented
142	#14582770	C₂²	1	1	yes	characteristic
143	#14582770	C₂²	1	1	yes	characteristic
144	#14582770	C₂²	1	1	yes	characteristic
145	#14582770	C₂²	1	1	yes	characteristic
146	#14582770	C₂²	1	1	yes	characteristic
147	#14582770	C₂²	1	1	yes	characteristic
148	#14582770	C₂²	1	1	yes	characteristic
149	#14582767	C₂²	1	1	yes	characteristic, complemented
150	#14582763	C₂²	1	1	yes	characteristic, complemented
151	#14582762	C₂²	1	1	yes	characteristic
152	#14582761	C₂²	1	1	yes	characteristic
153	#14582761	C₂²	1	1	yes	characteristic
154	#14582760	C₂²	1	1	yes	characteristic
155	#14582760	C₂²	1	1	yes	characteristic, complemented
156	#14582759	C₂²	1	1	yes	characteristic
157	#14582758	C₂²	1	1	yes	characteristic
158	#14582758	C₂²	1	1	yes	characteristic
159	#14582758	C₂²	1	1	yes	characteristic
160	#14582757	C₂²	1	1	yes	characteristic
161	#14582757	C₂²	1	1	yes	characteristic
162	#14582757	C₂²	1	1	yes	characteristic, complemented
163	#14582756	C₂²	1	1	yes	characteristic
164	#14582756	C₂²	1	1	yes	characteristic
165	#14582756	C₂²	1	1	yes	characteristic
166	#14582754	C₂²	1	1	yes	characteristic
167	#14582754	C₂²	1	1	yes	characteristic
168	C₄×(C₂×D₄₃)⋊C₄	C₂²	1	1	yes	characteristic
169	C₄×(C₂×D₄₃)⋊C₄	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, complemented
173	C₂×#123×C₄₃	C₂²	1	1	yes	characteristic
174	C₄₃×#399	C₂²	1	1	yes	characteristic, complemented
175	C₄₃×#396	C₂²	1	1	yes	characteristic
176	C₄₃×#396	C₂²	1	1	yes	characteristic, complemented
177	C₄₃×#394	C₂²	1	1	yes	characteristic, complemented
178	C₄₃×#394	C₂²	1	1	yes	characteristic, complemented
179	C₄₃×#392	C₂²	1	1	yes	characteristic
180	C₄₃×#390	C₂²	1	1	yes	characteristic
181	C₄₃×#390	C₂²	1	1	yes	characteristic
182	C₄₃×#389	C₂²	1	1	yes	characteristic, complemented
183	C₄₃×#388	C₂²	1	1	yes	characteristic, complemented
184	C₄₃×#387	C₂²	1	1	yes	characteristic, complemented
185	C₄₃×#386	C₂²	1	1	yes	characteristic
186	C₄₃×#380	C₂²	1	1	yes	characteristic
187	C₂⁴×D₄₃	C₂³	1	1	yes	characteristic
188	C₂²×Dic₈₆	C₂³	1	1	yes	characteristic
189	C₂²×C₂²⋊D₄₃	C₂³	1	1	yes	characteristic
190	C₂²×C₂²⋊D₄₃	C₂³	1	1	yes	characteristic
191	C₂²×C₂²⋊D₄₃	C₂³	1	1	yes	characteristic
192	C₂²×C₂²⋊D₄₃	C₂³	1	1	yes	characteristic
193	C₂³×Dic₄₃	C₂³	1	1	yes	characteristic
194	C₂³×Dic₄₃	C₂³	1	1	yes	characteristic
195	C₂³×Dic₄₃	C₂³	1	1	yes	characteristic
196	C₂²×C₄×D₄₃	—	2	4	no	—
197	C₂²×C₄×D₄₃	—	4	2	no	—
198	C₂²×C₄×D₄₃	—	4	2	no	—
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	C₂²×C₄×D₄₃	C₂³	1	1	yes	characteristic
205	C₂²×C₄×D₄₃	C₂³	1	1	yes	characteristic
206	C₂²×C₄×D₄₃	C₂³	1	1	yes	characteristic
207	#13063315	—	4	2	no	—
208	#13063307	—	4	2	no	—
209	#13063307	—	4	2	no	—
210	#13063306	—	4	2	no	—
211	#13063306	—	4	2	no	—
212	#13063303	—	4	2	no	—
213	#13063302	—	4	2	no	—
214	#13063296	—	4	2	no	—
215	#13063293	—	2	4	no	—
216	#13063293	—	2	4	no	—
217	(C₂²⋊D₄₃)⋊C₄	—	4	2	no	—
218	(C₂²⋊D₄₃)⋊C₄	—	4	2	no	—
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×C₄⋊Dic₄₃	C₂³	1	1	yes	characteristic
225	C₂×C₄⋊Dic₄₃	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	C₄⋊C₄×D₄₃	—	4	2	no	—
245	C₄⋊C₄×D₄₃	—	4	2	no	—
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×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×C₂²⋊Dic₄₃	C₂³	1	1	yes	characteristic
255	C₂×C₂²⋊Dic₄₃	C₂³	1	1	yes	characteristic
256	C₂×C₂²⋊Dic₄₃	C₂³	1	1	yes	characteristic
257	C₂×C₂²⋊Dic₄₃	C₂³	1	1	yes	characteristic
258	C₂×C₂²⋊Dic₄₃	C₂³	1	1	yes	characteristic
259	C₂×C₂²⋊Dic₄₃	C₂³	1	1	yes	characteristic
260	C₂×C₂²⋊Dic₄₃	C₂³	1	1	yes	characteristic
261	C₂×C₂²⋊Dic₄₃	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	C₂×(C₂×D₄₃)⋊C₄	C₂³	1	1	yes	characteristic
275	C₂×(C₂×D₄₃)⋊C₄	C₂³	1	1	yes	characteristic
276	C₂×(C₂×D₄₃)⋊C₄	C₂³	1	1	yes	characteristic
277	C₂×(C₂×D₄₃)⋊C₄	C₂³	1	1	yes	characteristic
278	C₂²⋊C₄×D₄₃	—	4	2	no	—
279	C₂²⋊C₄×D₄₃	—	4	2	no	—
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	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	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	C₂²×D₄×C₄₃	C₂³	1	1	yes	characteristic
327	C₂²×D₄×C₄₃	C₂³	1	1	yes	characteristic
328	C₂²×D₄×C₄₃	C₂³	1	1	yes	characteristic
329	C₂³×C₄×C₄₃	C₂³	1	1	yes	characteristic
330	#126×C₄₃	—	4	2	no	—
331	#123×C₄₃	—	4	2	no	—
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×C₄⋊C₄×C₄₃	C₂³	1	1	yes	characteristic
340	C₂×C₄⋊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×C₂²⋊C₄×C₄₃	C₂³	1	1	yes	characteristic
346	C₂×C₂²⋊C₄×C₄₃	C₂³	1	1	yes	characteristic
347	C₂×C₂²⋊C₄×C₄₃	C₂³	1	1	yes	characteristic
348	C₂×C₂²⋊C₄×C₄₃	C₂³	1	1	yes	characteristic
349	C₂×C₂²⋊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×C₂²⋊C₄×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	#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	#95×C₄₃	C₂³	1	1	yes	characteristic
362	#95×C₄₃	C₂³	1	1	yes	characteristic
363	C₂⁴×C₄₃	C₂⁴	1	1	yes	characteristic
364	C₂⁴×C₄₃	C₂⁴	1	1	yes	characteristic
365	C₂⁴×C₄₃	C₂⁴	1	1	yes	characteristic
366	C₂³×D₄₃	—	2	2	no	—
367	C₂³×D₄₃	—	2	2	no	—
368	C₂³×D₄₃	—	4	1	no	—
369	C₂³×D₄₃	—	4	1	no	—
370	C₂³×D₄₃	—	4	1	no	—
371	C₂³×D₄₃	—	4	1	no	—
372	C₂³×D₄₃	#41	1	4	yes	—
373	C₂³×D₄₃	C₂⁴	1	1	yes	characteristic
374	C₂³×D₄₃	C₂⁴	1	1	yes	characteristic
375	C₂×D₄×C₄₃	—	2	2	no	—
376	C₂×D₄×C₄₃	—	2	2	no	—
377	C₂×D₄×C₄₃	—	4	1	no	—
378	C₂×D₄×C₄₃	—	4	1	no	—
379	C₂×D₄×C₄₃	—	4	1	no	—
380	C₂×D₄×C₄₃	—	4	1	no	—
381	C₂×D₄×C₄₃	—	4	1	no	—
382	C₂×D₄×C₄₃	—	4	1	no	—
383	C₂×D₄×C₄₃	—	4	1	no	—
384	C₂²×C₄×C₄₃	—	2	2	no	—
385	C₂²×C₄×C₄₃	—	2	2	no	—
386	C₂²×C₄×C₄₃	—	4	1	no	—
387	C₂²×C₄×C₄₃	C₂⁴	1	1	yes	characteristic
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	C₂×C₂²⋊D₄₃	—	2	2	no	—
400	C₂×C₂²⋊D₄₃	—	2	2	no	—
401	C₂×C₂²⋊D₄₃	—	2	2	no	—
402	C₂×C₂²⋊D₄₃	—	2	2	no	—
403	C₂×C₂²⋊D₄₃	—	2	2	no	—
404	C₂×C₂²⋊D₄₃	—	2	2	no	—
405	C₂×C₂²⋊D₄₃	—	2	2	no	—
406	C₂×C₂²⋊D₄₃	—	2	2	no	—
407	C₂×C₂²⋊D₄₃	—	4	1	no	—
408	C₂×C₂²⋊D₄₃	—	4	1	no	—
409	C₂×C₂²⋊D₄₃	—	4	1	no	—
410	C₂×C₂²⋊D₄₃	—	4	1	no	—
411	C₂²×Dic₄₃	—	2	2	no	—
412	C₂²×Dic₄₃	—	2	2	no	—
413	C₂²×Dic₄₃	—	4	1	no	—
414	C₂²×Dic₄₃	—	4	1	no	—
415	C₂²×Dic₄₃	—	4	1	no	—
416	C₂²×Dic₄₃	—	4	1	no	—
417	C₂²×Dic₄₃	—	4	1	no	—
418	C₂²×Dic₄₃	—	4	1	no	—
419	C₂²×Dic₄₃	—	4	1	no	—
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	C₂²×Dic₄₃	C₂⁴	1	1	yes	characteristic
433	C₂²×Dic₄₃	C₂⁴	1	1	yes	characteristic
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	—	2	2	no	—
440	C₂×C₄×D₄₃	—	2	2	no	—
441	C₂×C₄×D₄₃	—	2	2	no	—
442	C₂×C₄×D₄₃	—	2	2	no	—
443	C₂×C₄×D₄₃	—	2	2	no	—
444	C₂×C₄×D₄₃	—	2	2	no	—
445	C₂×C₄×D₄₃	—	2	2	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	—	4	1	no	—
451	C₂×C₄×D₄₃	—	4	1	no	—
452	C₂×C₄×D₄₃	—	4	1	no	—
453	C₂×C₄×D₄₃	—	4	1	no	—
454	C₂×C₄×D₄₃	—	4	1	no	—
455	C₂×C₄×D₄₃	—	4	1	no	—
456	C₂×C₄×D₄₃	—	4	1	no	—
457	C₂×C₄×D₄₃	—	4	1	no	—
458	C₂×C₄×D₄₃	—	4	16	no	—
459	C₂×Dic₈₆	—	4	1	no	—
460	C₂×Dic₈₆	—	4	1	no	—
461	C₂×Dic₈₆	—	4	1	no	—
462	C₄⋊C₄×C₄₃	—	2	2	no	—
463	C₄⋊C₄×C₄₃	—	2	2	no	—
464	C₄⋊C₄×C₄₃	—	4	1	no	—
465	C₄⋊C₄×C₄₃	—	4	1	no	—
466	C₄⋊C₄×C₄₃	—	4	1	no	—
467	C₄⋊C₄×C₄₃	—	4	1	no	—
468	C₄⋊C₄×C₄₃	—	4	1	no	—
469	C₄⋊C₄×C₄₃	—	4	1	no	—
470	C₄⋊C₄×C₄₃	—	4	1	no	—
471	C₂²⋊C₄×C₄₃	—	2	2	no	—
472	C₂²⋊C₄×C₄₃	—	2	2	no	—
473	C₂²⋊C₄×C₄₃	—	4	1	no	—
474	C₂²⋊C₄×C₄₃	—	4	1	no	—
475	C₂²⋊C₄×C₄₃	—	4	1	no	—
476	C₂²⋊C₄×C₄₃	—	4	1	no	—
477	C₂²⋊C₄×C₄₃	—	4	1	no	—
478	C₂²⋊C₄×C₄₃	—	4	1	no	—
479	C₂²⋊C₄×C₄₃	—	4	1	no	—
480	C₂²⋊C₄×C₄₃	—	4	1	no	—
481	C₂²⋊C₄×C₄₃	—	4	1	no	—
482	C₂²⋊C₄×C₄₃	—	4	1	no	—
483	C₂²⋊C₄×C₄₃	—	4	1	no	—
484	C₂²⋊C₄×C₄₃	—	4	1	no	—
485	C₄²×C₄₃	—	4	1	no	—
486	C₄²×C₄₃	—	4	1	no	—
487	C₂²⋊Dic₄₃	—	2	2	no	—
488	C₂²⋊Dic₄₃	—	2	2	no	—
489	C₂²⋊Dic₄₃	—	2	2	no	—
490	C₂²⋊Dic₄₃	—	2	2	no	—
491	C₂²⋊Dic₄₃	—	4	1	no	—
492	C₂²⋊Dic₄₃	—	4	1	no	—
493	C₂²⋊Dic₄₃	—	4	1	no	—
494	C₂²⋊Dic₄₃	—	4	1	no	—
495	C₂²⋊Dic₄₃	—	4	1	no	—
496	C₂²⋊Dic₄₃	—	4	1	no	—
497	C₂²⋊Dic₄₃	—	4	1	no	—
498	C₂²⋊Dic₄₃	—	4	1	no	—
499	C₂²⋊Dic₄₃	—	4	1	no	—
500	C₂²⋊Dic₄₃	—	4	1	no	—
501	C₂²⋊Dic₄₃	—	4	1	no	—
502	C₂²⋊Dic₄₃	—	4	1	no	—
503	(C₂×D₄₃)⋊C₄	—	2	2	no	—
504	(C₂×D₄₃)⋊C₄	—	2	2	no	—
505	(C₂×D₄₃)⋊C₄	—	2	2	no	—
506	(C₂×D₄₃)⋊C₄	—	2	2	no	—
507	(C₂×D₄₃)⋊C₄	—	2	2	no	—
508	(C₂×D₄₃)⋊C₄	—	2	2	no	—
509	(C₂×D₄₃)⋊C₄	—	2	2	no	—
510	(C₂×D₄₃)⋊C₄	—	2	2	no	—
511	(C₂×D₄₃)⋊C₄	—	4	1	no	—
512	(C₂×D₄₃)⋊C₄	—	4	1	no	—
513	(C₂×D₄₃)⋊C₄	—	4	1	no	—
514	(C₂×D₄₃)⋊C₄	—	4	1	no	—
515	(C₂×D₄₃)⋊C₄	—	4	1	no	—
516	(C₂×D₄₃)⋊C₄	—	4	1	no	—
517	(C₂×D₄₃)⋊C₄	—	4	1	no	—
518	(C₂×D₄₃)⋊C₄	—	4	1	no	—
519	C₄⋊Dic₄₃	—	2	2	no	—
520	C₄⋊Dic₄₃	—	2	2	no	—
521	C₄⋊Dic₄₃	—	4	1	no	—
522	C₄⋊Dic₄₃	—	4	1	no	—
523	C₄⋊Dic₄₃	—	4	1	no	—
524	C₄⋊Dic₄₃	—	4	1	no	—
525	C₄⋊Dic₄₃	—	4	1	no	—
526	Dic₄₃⋊C₄	—	2	2	no	—
527	Dic₄₃⋊C₄	—	2	2	no	—
528	Dic₄₃⋊C₄	—	2	2	no	—
529	Dic₄₃⋊C₄	—	2	2	no	—
530	Dic₄₃⋊C₄	—	4	1	no	—
531	Dic₄₃⋊C₄	—	4	1	no	—
532	Dic₄₃⋊C₄	—	4	1	no	—
533	Dic₄₃⋊C₄	—	4	1	no	—
534	Dic₄₃⋊C₄	—	4	1	no	—
535	Dic₄₃⋊C₄	—	4	1	no	—
536	Dic₄₃⋊C₄	—	4	1	no	—
537	Dic₄₃⋊C₄	—	4	1	no	—
538	Dic₄₃⋊C₄	—	4	1	no	—
539	Dic₄₃⋊C₄	—	4	1	no	—
540	Dic₄₃⋊C₄	—	4	1	no	—
541	Dic₄₃⋊C₄	—	4	1	no	—
542	Dic₄₃⋊C₄	—	4	1	no	—
543	Dic₄₃⋊C₄	—	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	C₂³×C₄₃	—	2	1	no	—
549	C₂³×C₄₃	—	2	1	no	—
550	C₂³×C₄₃	—	2	1	no	—
551	C₂³×C₄₃	—	2	1	no	—
552	C₂³×C₄₃	—	2	1	no	—
553	C₂³×C₄₃	—	2	1	no	—
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	—	2	1	no	—
559	C₂³×C₄₃	—	2	1	no	—
560	C₂³×C₄₃	—	2	1	no	—
561	C₂³×C₄₃	—	2	1	no	—
562	C₂³×C₄₃	—	2	1	no	—
563	C₂³×C₄₃	—	2	1	no	—
564	C₂³×C₄₃	—	2	1	no	—
565	C₂³×C₄₃	—	2	1	no	—
566	C₂³×C₄₃	—	2	1	no	—
567	C₂³×C₄₃	—	2	1	no	—
568	C₂³×C₄₃	C₂×#41	1	2	yes	—
569	C₂³×C₄₃	C₂⁵	1	1	yes	characteristic
570	C₂²×D₄₃	—	2	1	no	—
571	C₂²×D₄₃	—	2	1	no	—
572	C₂²×D₄₃	—	2	1	no	—
573	C₂²×D₄₃	—	2	1	no	—
574	C₂²×D₄₃	—	2	1	no	—
575	C₂²×D₄₃	—	2	1	no	—
576	C₂²×D₄₃	—	2	1	no	—
577	C₂²×D₄₃	—	2	1	no	—
578	C₂²×D₄₃	—	2	1	no	—
579	C₂²×D₄₃	—	2	1	no	—
580	C₂²×D₄₃	—	2	8	no	—
581	C₂²×D₄₃	—	4	4	no	—
582	C₂²×D₄₃	—	4	4	no	—
583	C₂²×D₄₃	—	4	4	no	—
584	C₂²×D₄₃	—	4	4	no	—
585	C₂²×D₄₃	—	4	4	no	—
586	C₂²×D₄₃	—	4	4	no	—
587	C₂²×D₄₃	C₂×#41	1	2	yes	—
588	C₂²×D₄₃	C₂×#41	1	2	yes	—
589	C₂²×D₄₃	H(5,𝔽₂)	1	2	yes	—
590	C₂²×D₄₃	2₋¹⁺⁴	1	2	yes	—
591	D₄×C₄₃	—	8	2	no	—
592	D₄×C₄₃	—	8	2	no	—
593	D₄×C₄₃	—	8	2	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	—	2	1	no	—
604	C₂×C₄×C₄₃	—	2	1	no	—
605	C₂×C₄×C₄₃	—	2	1	no	—
606	C₂×C₄×C₄₃	—	2	1	no	—
607	C₂×C₄×C₄₃	—	2	1	no	—
608	C₂×C₄×C₄₃	—	2	1	no	—
609	C₂×C₄×C₄₃	—	2	1	no	—
610	C₂×C₄×C₄₃	—	2	1	no	—
611	C₂×C₄×C₄₃	—	2	1	no	—
612	C₂×C₄×C₄₃	—	2	1	no	—
613	C₂×C₄×C₄₃	—	2	1	no	—
614	C₂×C₄×C₄₃	—	2	1	no	—
615	C₂×C₄×C₄₃	—	2	1	no	—
616	C₂×C₄×C₄₃	—	2	1	no	—
617	C₂×C₄×C₄₃	—	2	1	no	—
618	C₂×C₄×C₄₃	—	2	1	no	—
619	C₂×C₄×C₄₃	—	2	1	no	—
620	C₂×C₄×C₄₃	—	2	1	no	—
621	C₂×C₄×C₄₃	—	2	1	no	—
622	C₂×C₄×C₄₃	—	2	1	no	—
623	C₂×C₄×C₄₃	—	2	1	no	—
624	C₂×C₄×C₄₃	—	2	1	no	—
625	C₂×C₄×C₄₃	—	2	1	no	—
626	C₂×C₄×C₄₃	—	2	1	no	—
627	C₂×C₄×C₄₃	—	2	1	no	—
628	C₂×C₄×C₄₃	—	2	1	no	—
629	C₂×C₄×C₄₃	—	4	4	no	—
630	C₂×C₄×C₄₃	H(5,𝔽₂)	1	2	yes	—
631	C₂²⋊D₄₃	—	4	4	no	—
632	C₂²⋊D₄₃	—	4	4	no	—
633	C₂²⋊D₄₃	—	8	2	no	—
634	C₂²⋊D₄₃	—	8	2	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	—	2	1	no	—
650	C₂×Dic₄₃	—	2	1	no	—
651	C₂×Dic₄₃	—	2	1	no	—
652	C₂×Dic₄₃	—	2	1	no	—
653	C₂×Dic₄₃	—	2	1	no	—
654	C₂×Dic₄₃	—	2	1	no	—
655	C₂×Dic₄₃	—	2	1	no	—
656	C₂×Dic₄₃	—	2	1	no	—
657	C₂×Dic₄₃	—	2	1	no	—
658	C₂×Dic₄₃	—	2	1	no	—
659	C₂×Dic₄₃	—	2	1	no	—
660	C₂×Dic₄₃	—	2	1	no	—
661	C₂×Dic₄₃	—	2	1	no	—
662	C₂×Dic₄₃	—	2	1	no	—
663	C₂×Dic₄₃	—	2	1	no	—
664	C₂×Dic₄₃	—	2	1	no	—
665	C₂×Dic₄₃	—	2	1	no	—
666	C₂×Dic₄₃	—	2	1	no	—
667	C₂×Dic₄₃	—	2	1	no	—
668	C₂×Dic₄₃	—	2	1	no	—
669	C₂×Dic₄₃	—	2	1	no	—
670	C₂×Dic₄₃	—	2	1	no	—
671	C₂×Dic₄₃	—	2	1	no	—
672	C₂×Dic₄₃	—	2	1	no	—
673	C₂×Dic₄₃	—	2	1	no	—
674	C₂×Dic₄₃	—	2	1	no	—
675	C₂×Dic₄₃	—	2	1	no	—
676	C₂×Dic₄₃	—	4	4	no	—
677	C₂×Dic₄₃	—	8	2	no	—
678	C₂×Dic₄₃	—	8	2	no	—
679	C₂×Dic₄₃	H(5,𝔽₂)	1	2	yes	—
680	C₄×D₄₃	—	2	8	no	—
681	C₄×D₄₃	—	4	4	no	—
682	C₄×D₄₃	—	4	4	no	—
683	C₄×D₄₃	—	4	4	no	—
684	C₄×D₄₃	—	8	2	no	—
685	C₄×D₄₃	—	8	2	no	—
686	C₄×D₄₃	—	8	2	no	—
687	C₄×D₄₃	—	8	2	no	—
688	Dic₈₆	—	8	2	no	—
689	#36726	—	43	1	no	maximal, Sylow
690	C₂²×C₄₃	—	2	2	no	—
691	C₂²×C₄₃	—	2	2	no	—
692	C₂²×C₄₃	—	2	2	no	—
693	C₂²×C₄₃	—	4	1	no	—
694	C₂²×C₄₃	—	4	1	no	—
695	C₂²×C₄₃	—	4	1	no	—
696	C₂²×C₄₃	—	4	1	no	—
697	C₂²×C₄₃	—	4	1	no	—
698	C₂²×C₄₃	—	4	1	no	—
699	C₂²×C₄₃	—	4	1	no	—
700	C₂²×C₄₃	—	4	1	no	—
701	C₂²×C₄₃	—	4	1	no	—
702	C₂²×C₄₃	—	4	1	no	—
703	C₂²×C₄₃	—	4	1	no	—
704	C₂²×C₄₃	—	4	1	no	—
705	C₂²×C₄₃	—	4	1	no	—
706	C₂²×C₄₃	—	4	1	no	—
707	C₂²×C₄₃	—	4	1	no	—
708	C₂²×C₄₃	—	4	1	no	—
709	C₂²×C₄₃	—	4	1	no	—
710	C₂²×C₄₃	—	4	1	no	—
711	C₂²×C₄₃	C₂²×#41	1	1	yes	characteristic
712	C₂²×C₄₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
713	C₂²×C₄₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
714	C₂²×C₄₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
715	C₂²×C₄₃	C₂×2₋¹⁺⁴	1	1	yes	characteristic
716	C₂²×C₄₃	#585	1	1	yes	characteristic
717	C₂²×C₄₃	#585	1	1	yes	characteristic
718	C₂×D₄₃	—	2	2	no	—
719	C₂×D₄₃	—	2	2	no	—
720	C₂×D₄₃	—	2	2	no	—
721	C₂×D₄₃	—	2	2	no	—
722	C₂×D₄₃	—	2	2	no	—
723	C₂×D₄₃	—	2	2	no	—
724	C₂×D₄₃	—	2	2	no	—
725	C₂×D₄₃	—	2	2	no	—
726	C₂×D₄₃	—	2	2	no	—
727	C₂×D₄₃	—	4	16	no	—
728	C₂×D₄₃	—	4	1	no	—
729	C₂×D₄₃	—	4	1	no	—
730	C₂×D₄₃	—	4	1	no	—
731	C₂×D₄₃	—	4	1	no	—
732	C₂×D₄₃	#539	1	4	yes	—
733	C₄×C₄₃	—	2	2	no	—
734	C₄×C₄₃	—	4	1	no	—
735	C₄×C₄₃	—	4	1	no	—
736	C₄×C₄₃	—	4	1	no	—
737	C₄×C₄₃	—	4	1	no	—
738	C₄×C₄₃	—	4	1	no	—
739	C₄×C₄₃	—	4	1	no	—
740	C₄×C₄₃	—	4	1	no	—
741	C₄×C₄₃	—	4	1	no	—
742	C₄×C₄₃	—	4	1	no	—
743	C₄×C₄₃	—	4	1	no	—
744	C₄×C₄₃	—	4	1	no	—
745	Dic₄₃	—	2	2	no	—
746	Dic₄₃	—	4	1	no	—
747	Dic₄₃	—	4	1	no	—
748	Dic₄₃	—	4	1	no	—
749	Dic₄₃	—	4	1	no	—
750	Dic₄₃	—	4	1	no	—
751	Dic₄₃	—	4	1	no	—
752	Dic₄₃	—	4	1	no	—
753	Dic₄₃	—	4	1	no	—
754	Dic₄₃	—	4	1	no	—
755	Dic₄₃	—	4	1	no	—
756	Dic₄₃	—	4	1	no	—
757	Dic₄₃	—	4	1	no	—
758	Dic₄₃	—	4	1	no	—
759	#2849	—	43	1	no	—
760	#2849	—	43	1	no	—
761	#2746	—	43	1	no	—
762	#2745	—	43	1	no	—
763	#2744	—	43	1	no	—
764	#2743	—	43	1	no	—
765	#2740	—	43	1	no	—
766	#2739	—	43	1	no	—
767	#2738	—	43	1	no	—
768	#2737	—	43	1	no	—
769	#2707	—	43	1	no	—
770	#2706	—	43	1	no	—
771	#2705	D₄₃	1	1	yes	characteristic, complemented
772	#2696	—	43	1	no	—
773	#2695	—	43	1	no	—
774	#2694	—	43	1	no	—
775	#2693	—	43	1	no	—
776	#2687	—	43	1	no	—
777	#2626	—	43	1	no	—
778	#2617	—	43	1	no	—
779	#2510	—	43	1	no	—
780	#2505	—	43	1	no	—
781	#2481	—	43	1	no	—
782	#2473	—	43	1	no	—
783	#2450	—	43	1	no	—
784	#2449	—	43	1	no	—
785	#2444	—	43	1	no	—
786	#2443	—	43	1	no	—
787	#2321	—	43	1	no	—
788	#2321	—	43	1	no	—
789	C₂×#380	—	43	1	no	—
790	C₂×C₄₃	—	4	2	no	—
791	C₂×C₄₃	—	8	1	no	—
792	C₂×C₄₃	—	8	1	no	—
793	C₂×C₄₃	C₂×#539	1	1	yes	characteristic
794	C₂×C₄₃	#3490	1	1	yes	characteristic
795	C₂×C₄₃	#3491	1	1	yes	characteristic
796	C₂×C₄₃	#3541	1	1	yes	characteristic
797	C₂×C₄₃	#3541	1	1	yes	characteristic
798	C₂×C₄₃	#3542	1	1	yes	characteristic
799	C₂×C₄₃	#3542	1	1	yes	characteristic
800	D₄₃	—	2	4	no	—
801	D₄₃	—	4	2	no	—
802	C₂⁴×C₄	—	43	1	no	—
803	C₂×#126	C₂×D₄₃	1	1	yes	characteristic, complemented
804	C₂×#125	—	43	1	no	—
805	C₂×#123	—	43	1	no	—
806	C₂×#123	—	43	1	no	—
807	C₂×#123	—	43	1	no	—
808	C₂×#123	—	43	1	no	—
809	C₂×#123	C₂×D₄₃	1	1	yes	characteristic
810	C₂×C₂²⋊Q₈	—	43	1	no	—
811	C₂×C₂²⋊Q₈	—	43	1	no	—
812	C₂×#121	—	43	1	no	—
813	C₂×#120	—	43	1	no	—
814	C₂×#120	—	43	1	no	—
815	C₂×C₄×D₄	—	43	1	no	—
816	C₂×C₄×D₄	—	43	1	no	—
817	C₂²×C₄⋊C₄	—	43	1	no	—
818	C₂²×C₄⋊C₄	—	43	1	no	—
819	C₂²×C₂²⋊C₄	—	43	1	no	—
820	C₂²×C₂²⋊C₄	—	43	1	no	—
821	#401	—	43	1	no	—
822	#400	—	43	1	no	—
823	#400	—	43	1	no	—
824	#400	—	43	1	no	—
825	#400	—	43	1	no	—
826	#400	—	43	1	no	—
827	#400	—	43	1	no	—
828	#400	—	43	1	no	—
829	#400	—	43	1	no	—
830	#400	—	43	1	no	—
831	#399	—	43	1	no	—
832	#399	—	43	1	no	—
833	#399	—	43	1	no	—
834	#399	C₂×D₄₃	1	1	yes	characteristic, complemented
835	#398	—	43	1	no	—
836	#398	—	43	1	no	—
837	#398	—	43	1	no	—
838	#398	—	43	1	no	—
839	#398	—	43	1	no	—
840	#398	—	43	1	no	—
841	#398	—	43	1	no	—
842	#397	—	43	1	no	—
843	#397	—	43	1	no	—
844	#397	—	43	1	no	—
845	#397	—	43	1	no	—
846	#397	—	43	1	no	—
847	#397	—	43	1	no	—
848	#397	—	43	1	no	—
849	#397	—	43	1	no	—
850	#396	—	43	1	no	—
851	#396	—	43	1	no	—
852	#396	—	43	1	no	—
853	#396	—	43	1	no	—
854	#396	—	43	1	no	—
855	#396	C₂×D₄₃	1	1	yes	characteristic
856	#396	C₂×D₄₃	1	1	yes	characteristic, complemented
857	#395	—	43	1	no	—
858	#394	—	43	1	no	—
859	#394	—	43	1	no	—
860	#394	—	43	1	no	—
861	#394	—	43	1	no	—
862	#394	C₂×D₄₃	1	1	yes	characteristic, complemented
863	#394	C₂×D₄₃	1	1	yes	characteristic, complemented
864	#393	—	43	1	no	—
865	#393	—	43	1	no	—
866	#393	—	43	1	no	—
867	#392	—	43	1	no	—
868	#392	C₂×D₄₃	1	1	yes	characteristic
869	#391	—	43	1	no	—
870	#390	—	43	1	no	—
871	#390	—	43	1	no	—
872	#390	C₂×D₄₃	1	1	yes	characteristic
873	#390	C₂×D₄₃	1	1	yes	characteristic
874	#389	—	43	1	no	—
875	#389	—	43	1	no	—
876	#389	C₂×D₄₃	1	1	yes	characteristic, complemented
877	#388	—	43	1	no	—
878	#388	—	43	1	no	—
879	#388	—	43	1	no	—
880	#388	—	43	1	no	—
881	#388	—	43	1	no	—
882	#388	—	43	1	no	—
883	#388	—	43	1	no	—
884	#388	—	43	1	no	—
885	#388	—	43	1	no	—
886	#388	—	43	1	no	—
887	#388	—	43	1	no	—
888	#388	—	43	1	no	—
889	#388	C₂×D₄₃	1	1	yes	characteristic, complemented
890	#387	—	43	1	no	—
891	#387	—	43	1	no	—
892	#387	—	43	1	no	—
893	#387	—	43	1	no	—
894	#387	—	43	1	no	—
895	#387	—	43	1	no	—
896	#387	—	43	1	no	—
897	#387	—	43	1	no	—
898	#387	—	43	1	no	—
899	#387	—	43	1	no	—
900	#387	C₂×D₄₃	1	1	yes	characteristic, complemented
901	#386	—	43	1	no	—
902	#386	—	43	1	no	—
903	#386	—	43	1	no	—
904	#386	—	43	1	no	—
905	#386	—	43	1	no	—
906	#386	—	43	1	no	—
907	#386	—	43	1	no	—
908	#386	—	43	1	no	—
909	#386	—	43	1	no	—
910	#386	—	43	1	no	—
911	#386	—	43	1	no	—
912	#386	—	43	1	no	—
913	#386	—	43	1	no	—
914	#386	—	43	1	no	—
915	#386	—	43	1	no	—
916	#386	—	43	1	no	—
917	#386	C₂×D₄₃	1	1	yes	characteristic
918	#385	—	43	1	no	—
919	#385	—	43	1	no	—
920	#385	—	43	1	no	—
921	#385	—	43	1	no	—
922	#385	—	43	1	no	—
923	#385	—	43	1	no	—
924	#385	—	43	1	no	—
925	#385	—	43	1	no	—
926	#385	—	43	1	no	—
927	#385	—	43	1	no	—
928	#385	—	43	1	no	—
929	#385	—	43	1	no	—
930	#385	—	43	1	no	—
931	#385	—	43	1	no	—
932	#385	—	43	1	no	—
933	#383	—	43	1	no	—
934	#382	—	43	1	no	—
935	#381	—	43	1	no	—
936	#381	—	43	1	no	—
937	#381	—	43	1	no	—
938	#381	—	43	1	no	—
939	#381	—	43	1	no	—
940	#380	—	43	1	no	—
941	#380	—	43	1	no	—
942	#380	—	43	1	no	—
943	#380	—	43	1	no	—
944	#380	—	43	1	no	—
945	#380	—	43	1	no	—
946	#380	—	43	1	no	—
947	#380	—	43	1	no	—
948	#380	—	43	1	no	—
949	#380	—	43	1	no	—
950	#380	C₂×D₄₃	1	1	yes	characteristic
951	#379	—	43	1	no	—
952	#379	—	43	1	no	—
953	C₄×C₂²⋊C₄	—	43	1	no	—
954	C₄×C₂²⋊C₄	—	43	1	no	—
955	C₂×#95	—	43	1	no	—
956	C₂×#95	—	43	1	no	—
957	C₄₃	#36726	1	1	yes	characteristic, complemented, Sylow
958	C₂⁵	—	43	1	no	—
959	C₂²×Q₈	—	43	1	no	—
960	C₂²×D₄	—	43	1	no	—
961	C₂²×D₄	—	43	1	no	—
962	C₂²×D₄	—	43	1	no	—
963	C₂²×D₄	—	43	1	no	—
964	C₂²×D₄	C₂²×D₄₃	1	1	yes	characteristic
965	C₂²×D₄	C₂²×D₄₃	1	1	yes	characteristic
966	C₂²×D₄	C₂²×D₄₃	1	1	yes	characteristic
967	C₂³×C₄	—	43	1	no	—
968	C₂³×C₄	—	43	1	no	—
969	C₂³×C₄	—	43	1	no	—
970	C₂³×C₄	—	43	1	no	—
971	C₂³×C₄	—	43	1	no	—
972	C₂³×C₄	—	43	1	no	—
973	C₂³×C₄	—	43	1	no	—
974	C₂³×C₄	—	43	1	no	—
975	C₂³×C₄	—	43	1	no	—
976	C₂³×C₄	—	43	1	no	—
977	C₂³×C₄	—	43	1	no	—
978	C₂³×C₄	—	86	4	no	—
979	C₂³×C₄	—	172	2	no	—
980	C₂³×C₄	—	172	2	no	—
981	C₂³×C₄	C₂²×D₄₃	1	1	yes	characteristic
982	#126	—	4	2	no	—
983	#125	—	172	2	no	—
984	#123	—	4	2	no	—
985	#123	—	172	2	no	—
986	#123	—	172	2	no	—
987	#123	—	172	2	no	—
988	#123	—	172	2	no	—
989	C₂²⋊Q₈	—	172	2	no	—
990	C₂²⋊Q₈	—	172	2	no	—
991	#121	—	172	2	no	—
992	#120	—	86	4	no	—
993	#120	—	86	4	no	—
994	C₄×D₄	—	172	2	no	—
995	C₄×D₄	—	172	2	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	—	43	1	no	—
1007	C₂×C₄⋊C₄	—	43	1	no	—
1008	C₂×C₄⋊C₄	—	43	1	no	—
1009	C₂×C₄⋊C₄	—	43	1	no	—
1010	C₂×C₄⋊C₄	—	43	1	no	—
1011	C₂×C₄⋊C₄	—	43	1	no	—
1012	C₂×C₄⋊C₄	—	43	1	no	—
1013	C₂×C₄⋊C₄	—	43	1	no	—
1014	C₂×C₄⋊C₄	—	43	1	no	—
1015	C₂×C₄⋊C₄	—	43	1	no	—
1016	C₂×C₄⋊C₄	—	43	1	no	—
1017	C₂×C₄⋊C₄	—	43	1	no	—
1018	C₂×C₄⋊C₄	—	43	1	no	—
1019	C₂×C₄⋊C₄	—	43	1	no	—
1020	C₂×C₄⋊C₄	—	43	1	no	—
1021	C₂×C₄⋊C₄	—	172	2	no	—
1022	C₂×C₄⋊C₄	—	172	2	no	—
1023	C₂×C₄⋊C₄	C₂²×D₄₃	1	1	yes	characteristic
1024	C₂×C₄⋊C₄	C₂²×D₄₃	1	1	yes	characteristic
1025	C₂×C₄⋊C₄	C₂²×D₄₃	1	1	yes	characteristic
1026	C₂×C₄⋊C₄	C₂²×D₄₃	1	1	yes	characteristic
1027	C₂×C₄⋊C₄	C₂²×D₄₃	1	1	yes	characteristic
1028	C₂×C₄⋊C₄	C₂²×D₄₃	1	1	yes	characteristic
1029	C₂×C₄⋊C₄	C₂²×D₄₃	1	1	yes	characteristic
1030	C₂×C₄⋊C₄	C₂²×D₄₃	1	1	yes	characteristic
1031	C₂×C₄⋊C₄	C₂²×D₄₃	1	1	yes	characteristic
1032	C₂×C₂²⋊C₄	—	43	1	no	—
1033	C₂×C₂²⋊C₄	—	43	1	no	—
1034	C₂×C₂²⋊C₄	—	43	1	no	—
1035	C₂×C₂²⋊C₄	—	43	1	no	—
1036	C₂×C₂²⋊C₄	—	43	1	no	—
1037	C₂×C₂²⋊C₄	—	43	1	no	—
1038	C₂×C₂²⋊C₄	—	43	1	no	—
1039	C₂×C₂²⋊C₄	—	43	1	no	—
1040	C₂×C₂²⋊C₄	—	43	1	no	—
1041	C₂×C₂²⋊C₄	—	43	1	no	—
1042	C₂×C₂²⋊C₄	—	43	1	no	—
1043	C₂×C₂²⋊C₄	—	43	1	no	—
1044	C₂×C₂²⋊C₄	—	43	1	no	—
1045	C₂×C₂²⋊C₄	—	43	1	no	—
1046	C₂×C₂²⋊C₄	—	43	1	no	—
1047	C₂×C₂²⋊C₄	—	43	1	no	—
1048	C₂×C₂²⋊C₄	—	43	1	no	—
1049	C₂×C₂²⋊C₄	—	43	1	no	—
1050	C₂×C₂²⋊C₄	—	43	1	no	—
1051	C₂×C₂²⋊C₄	—	43	1	no	—
1052	C₂×C₂²⋊C₄	—	43	1	no	—
1053	C₂×C₂²⋊C₄	—	43	1	no	—
1054	C₂×C₂²⋊C₄	—	43	1	no	—
1055	C₂×C₂²⋊C₄	—	43	1	no	—
1056	C₂×C₂²⋊C₄	—	43	1	no	—
1057	C₂×C₂²⋊C₄	—	43	1	no	—
1058	C₂×C₂²⋊C₄	—	43	1	no	—
1059	C₂×C₂²⋊C₄	—	43	1	no	—
1060	C₂×C₂²⋊C₄	—	43	1	no	—
1061	C₂×C₂²⋊C₄	—	43	1	no	—
1062	C₂×C₂²⋊C₄	—	43	1	no	—
1063	C₂×C₂²⋊C₄	—	43	1	no	—
1064	C₂×C₂²⋊C₄	—	172	2	no	—
1065	C₂×C₂²⋊C₄	—	172	2	no	—
1066	C₂×C₂²⋊C₄	C₂²×D₄₃	1	1	yes	characteristic
1067	C₂×C₂²⋊C₄	C₂²×D₄₃	1	1	yes	characteristic
1068	C₂×C₂²⋊C₄	C₂²×D₄₃	1	1	yes	characteristic
1069	C₂×C₂²⋊C₄	C₂²×D₄₃	1	1	yes	characteristic
1070	C₂×C₂²⋊C₄	C₂²×D₄₃	1	1	yes	characteristic
1071	C₂×C₂²⋊C₄	C₂²×D₄₃	1	1	yes	characteristic
1072	C₂×C₂²⋊C₄	C₂²×D₄₃	1	1	yes	characteristic
1073	C₂×C₂²⋊C₄	C₂²×D₄₃	1	1	yes	characteristic
1074	C₂×C₂²⋊C₄	C₂²×D₄₃	1	1	yes	characteristic
1075	C₂×C₂²⋊C₄	C₂²×D₄₃	1	1	yes	characteristic
1076	C₂×C₂²⋊C₄	C₂²×D₄₃	1	1	yes	characteristic
1077	C₂×C₂²⋊C₄	C₂²×D₄₃	1	1	yes	characteristic
1078	C₂×C₂²⋊C₄	C₂²×D₄₃	1	1	yes	characteristic
1079	C₂×C₂²⋊C₄	C₂²×D₄₃	1	1	yes	characteristic
1080	C₂×C₄²	—	43	1	no	—
1081	C₂×C₄²	—	43	1	no	—
1082	C₂×C₄²	—	43	1	no	—
1083	C₂×C₄²	—	43	1	no	—
1084	C₂×C₄²	C₂²×D₄₃	1	1	yes	characteristic
1085	C₂×C₄²	C₂²×D₄₃	1	1	yes	characteristic
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	—	43	1	no	—
1099	#95	—	43	1	no	—
1100	#95	—	43	1	no	—
1101	#95	—	43	1	no	—
1102	#95	—	43	1	no	—
1103	#95	—	43	1	no	—
1104	#95	—	43	1	no	—
1105	#95	—	43	1	no	—
1106	#95	—	43	1	no	—
1107	#95	—	43	1	no	—
1108	#95	—	43	1	no	—
1109	#95	—	43	1	no	—
1110	#95	—	43	1	no	—
1111	#95	—	43	1	no	—
1112	#95	—	43	1	no	—
1113	#95	—	43	1	no	—
1114	#95	—	43	1	no	—
1115	#95	—	43	1	no	—
1116	#95	—	43	1	no	—
1117	#95	—	43	1	no	—
1118	#95	—	43	1	no	—
1119	#95	—	43	1	no	—
1120	#95	—	43	1	no	—
1121	#95	—	43	1	no	—
1122	#95	—	43	1	no	—
1123	#95	—	43	1	no	—
1124	#95	—	43	1	no	—
1125	#95	—	43	1	no	—
1126	#95	—	43	1	no	—
1127	#95	—	43	1	no	—
1128	#95	C₂²×D₄₃	1	1	yes	characteristic
1129	#95	C₂²×D₄₃	1	1	yes	characteristic
1130	#95	C₂²×D₄₃	1	1	yes	characteristic
1131	#95	C₂²×D₄₃	1	1	yes	characteristic
1132	#95	C₂²×D₄₃	1	1	yes	characteristic
1133	#95	C₂²×D₄₃	1	1	yes	characteristic
1134	C₂⁴	—	43	1	no	—
1135	C₂⁴	—	43	1	no	—
1136	C₂⁴	—	43	4	no	—
1137	C₂⁴	—	86	2	no	—
1138	C₂⁴	—	86	2	no	—
1139	C₂⁴	—	172	1	no	—
1140	C₂⁴	—	172	1	no	—
1141	C₂⁴	—	172	1	no	—
1142	C₂⁴	—	172	1	no	—
1143	C₂⁴	C₂³×D₄₃	1	1	yes	characteristic
1144	C₂⁴	C₂³×D₄₃	1	1	yes	characteristic
1145	C₂⁴	C₂³×D₄₃	1	1	yes	characteristic
1146	C₂×Q₈	—	172	1	no	—
1147	C₂×Q₈	—	172	1	no	—
1148	C₂×Q₈	—	172	1	no	—
1149	C₂×D₄	—	2	2	no	—
1150	C₂×D₄	—	2	2	no	—
1151	C₂×D₄	—	4	1	no	—
1152	C₂×D₄	—	4	1	no	—
1153	C₂×D₄	—	4	1	no	—
1154	C₂×D₄	—	4	1	no	—
1155	C₂×D₄	—	4	1	no	—
1156	C₂×D₄	—	4	1	no	—
1157	C₂×D₄	—	4	1	no	—
1158	C₂×D₄	—	86	2	no	—
1159	C₂×D₄	—	86	2	no	—
1160	C₂×D₄	—	86	2	no	—
1161	C₂×D₄	—	86	2	no	—
1162	C₂×D₄	—	86	2	no	—
1163	C₂×D₄	—	86	2	no	—
1164	C₂×D₄	—	86	2	no	—
1165	C₂×D₄	—	86	2	no	—
1166	C₂×D₄	—	172	1	no	—
1167	C₂×D₄	—	172	1	no	—
1168	C₂×D₄	—	172	1	no	—
1169	C₂×D₄	—	172	1	no	—
1170	C₂²×C₄	—	2	2	no	—
1171	C₂²×C₄	—	2	2	no	—
1172	C₂²×C₄	—	4	1	no	—
1173	C₂²×C₄	—	43	1	no	—
1174	C₂²×C₄	—	43	1	no	—
1175	C₂²×C₄	—	43	1	no	—
1176	C₂²×C₄	—	43	1	no	—
1177	C₂²×C₄	—	43	1	no	—
1178	C₂²×C₄	—	43	1	no	—
1179	C₂²×C₄	—	43	1	no	—
1180	C₂²×C₄	—	43	1	no	—
1181	C₂²×C₄	—	43	1	no	—
1182	C₂²×C₄	—	43	1	no	—
1183	C₂²×C₄	—	43	1	no	—
1184	C₂²×C₄	—	43	1	no	—
1185	C₂²×C₄	—	43	1	no	—
1186	C₂²×C₄	—	43	1	no	—
1187	C₂²×C₄	—	86	2	no	—
1188	C₂²×C₄	—	86	2	no	—
1189	C₂²×C₄	—	86	2	no	—
1190	C₂²×C₄	—	86	2	no	—
1191	C₂²×C₄	—	86	2	no	—
1192	C₂²×C₄	—	86	2	no	—
1193	C₂²×C₄	—	86	2	no	—
1194	C₂²×C₄	—	86	2	no	—
1195	C₂²×C₄	—	86	2	no	—
1196	C₂²×C₄	—	86	2	no	—
1197	C₂²×C₄	—	86	2	no	—
1198	C₂²×C₄	—	86	2	no	—
1199	C₂²×C₄	—	86	2	no	—
1200	C₂²×C₄	—	86	2	no	—
1201	C₂²×C₄	—	172	1	no	—
1202	C₂²×C₄	—	172	1	no	—
1203	C₂²×C₄	—	172	1	no	—
1204	C₂²×C₄	—	172	1	no	—
1205	C₂²×C₄	—	172	1	no	—
1206	C₂²×C₄	—	172	1	no	—
1207	C₂²×C₄	—	172	1	no	—
1208	C₂²×C₄	—	172	1	no	—
1209	C₂²×C₄	—	172	1	no	—
1210	C₂²×C₄	—	172	1	no	—
1211	C₂²×C₄	—	172	1	no	—
1212	C₂²×C₄	—	172	1	no	—
1213	C₂²×C₄	—	172	16	no	—
1214	C₂²×C₄	—	172	1	no	—
1215	C₂²×C₄	—	172	1	no	—
1216	C₂²×C₄	—	172	1	no	—
1217	C₂²×C₄	—	172	1	no	—
1218	C₂²×C₄	—	172	1	no	—
1219	C₂²×C₄	—	172	1	no	—
1220	C₂²×C₄	—	172	1	no	—
1221	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
1222	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
1223	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
1224	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
1225	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
1226	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
1227	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
1228	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
1229	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
1230	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
1231	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
1232	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
1233	C₄⋊C₄	—	2	2	no	—
1234	C₄⋊C₄	—	2	2	no	—
1235	C₄⋊C₄	—	4	1	no	—
1236	C₄⋊C₄	—	4	1	no	—
1237	C₄⋊C₄	—	4	1	no	—
1238	C₄⋊C₄	—	4	1	no	—
1239	C₄⋊C₄	—	4	1	no	—
1240	C₄⋊C₄	—	4	1	no	—
1241	C₄⋊C₄	—	4	1	no	—
1242	C₄⋊C₄	—	86	2	no	—
1243	C₄⋊C₄	—	86	2	no	—
1244	C₄⋊C₄	—	86	2	no	—
1245	C₄⋊C₄	—	86	2	no	—
1246	C₄⋊C₄	—	86	2	no	—
1247	C₄⋊C₄	—	86	2	no	—
1248	C₄⋊C₄	—	172	1	no	—
1249	C₄⋊C₄	—	172	1	no	—
1250	C₄⋊C₄	—	172	1	no	—
1251	C₄⋊C₄	—	172	1	no	—
1252	C₄⋊C₄	—	172	1	no	—
1253	C₄⋊C₄	—	172	1	no	—
1254	C₄⋊C₄	—	172	1	no	—
1255	C₄⋊C₄	—	172	1	no	—
1256	C₄⋊C₄	—	172	1	no	—
1257	C₄⋊C₄	—	172	1	no	—
1258	C₄⋊C₄	—	172	1	no	—
1259	C₄⋊C₄	—	172	1	no	—
1260	C₄⋊C₄	—	172	1	no	—
1261	C₄⋊C₄	—	172	1	no	—
1262	C₄⋊C₄	—	172	1	no	—
1263	C₄⋊C₄	—	172	1	no	—
1264	C₄⋊C₄	—	172	1	no	—
1265	C₄⋊C₄	—	172	1	no	—
1266	C₄⋊C₄	—	172	1	no	—
1267	C₂²⋊C₄	—	2	2	no	—
1268	C₂²⋊C₄	—	2	2	no	—
1269	C₂²⋊C₄	—	4	1	no	—
1270	C₂²⋊C₄	—	4	1	no	—
1271	C₂²⋊C₄	—	4	1	no	—
1272	C₂²⋊C₄	—	4	1	no	—
1273	C₂²⋊C₄	—	4	1	no	—
1274	C₂²⋊C₄	—	4	1	no	—
1275	C₂²⋊C₄	—	4	1	no	—
1276	C₂²⋊C₄	—	4	1	no	—
1277	C₂²⋊C₄	—	4	1	no	—
1278	C₂²⋊C₄	—	4	1	no	—
1279	C₂²⋊C₄	—	4	1	no	—
1280	C₂²⋊C₄	—	4	1	no	—
1281	C₂²⋊C₄	—	86	2	no	—
1282	C₂²⋊C₄	—	86	2	no	—
1283	C₂²⋊C₄	—	86	2	no	—
1284	C₂²⋊C₄	—	86	2	no	—
1285	C₂²⋊C₄	—	86	2	no	—
1286	C₂²⋊C₄	—	86	2	no	—
1287	C₂²⋊C₄	—	86	2	no	—
1288	C₂²⋊C₄	—	86	2	no	—
1289	C₂²⋊C₄	—	86	2	no	—
1290	C₂²⋊C₄	—	86	2	no	—
1291	C₂²⋊C₄	—	86	2	no	—
1292	C₂²⋊C₄	—	86	2	no	—
1293	C₂²⋊C₄	—	172	1	no	—
1294	C₂²⋊C₄	—	172	1	no	—
1295	C₂²⋊C₄	—	172	1	no	—
1296	C₂²⋊C₄	—	172	1	no	—
1297	C₂²⋊C₄	—	172	1	no	—
1298	C₂²⋊C₄	—	172	1	no	—
1299	C₂²⋊C₄	—	172	1	no	—
1300	C₂²⋊C₄	—	172	1	no	—
1301	C₂²⋊C₄	—	172	1	no	—
1302	C₂²⋊C₄	—	172	1	no	—
1303	C₂²⋊C₄	—	172	1	no	—
1304	C₂²⋊C₄	—	172	1	no	—
1305	C₂²⋊C₄	—	172	1	no	—
1306	C₂²⋊C₄	—	172	1	no	—
1307	C₂²⋊C₄	—	172	1	no	—
1308	C₂²⋊C₄	—	172	1	no	—
1309	C₂²⋊C₄	—	172	1	no	—
1310	C₂²⋊C₄	—	172	1	no	—
1311	C₂²⋊C₄	—	172	1	no	—
1312	C₂²⋊C₄	—	172	1	no	—
1313	C₄²	—	4	1	no	—
1314	C₄²	—	4	1	no	—
1315	C₄²	—	172	1	no	—
1316	C₄²	—	172	1	no	—
1317	C₄²	—	172	1	no	—
1318	C₄²	—	172	1	no	—
1319	C₂³	—	2	1	no	—
1320	C₂³	—	2	1	no	—
1321	C₂³	—	2	1	no	—
1322	C₂³	—	2	1	no	—
1323	C₂³	—	2	1	no	—
1324	C₂³	—	2	1	no	—
1325	C₂³	—	2	1	no	—
1326	C₂³	—	2	1	no	—
1327	C₂³	—	2	1	no	—
1328	C₂³	—	2	1	no	—
1329	C₂³	—	2	1	no	—
1330	C₂³	—	2	1	no	—
1331	C₂³	—	2	1	no	—
1332	C₂³	—	2	1	no	—
1333	C₂³	—	2	1	no	—
1334	C₂³	—	2	1	no	—
1335	C₂³	—	2	1	no	—
1336	C₂³	—	2	1	no	—
1337	C₂³	—	2	1	no	—
1338	C₂³	—	2	1	no	—
1339	C₂³	—	43	2	no	—
1340	C₂³	—	43	2	no	—
1341	C₂³	—	43	2	no	—
1342	C₂³	—	43	2	no	—
1343	C₂³	—	86	8	no	—
1344	C₂³	—	86	1	no	—
1345	C₂³	—	86	1	no	—
1346	C₂³	—	86	1	no	—
1347	C₂³	—	86	1	no	—
1348	C₂³	—	86	1	no	—
1349	C₂³	—	86	1	no	—
1350	C₂³	—	86	1	no	—
1351	C₂³	—	86	1	no	—
1352	C₂³	—	86	1	no	—
1353	C₂³	—	86	1	no	—
1354	C₂³	—	172	4	no	—
1355	C₂³	—	172	4	no	—
1356	C₂³	—	172	4	no	—
1357	C₂³	—	172	4	no	—
1358	C₂³	—	172	4	no	—
1359	C₂³	—	172	4	no	—
1360	C₂³	#41×D₄₃	1	2	yes	—
1361	C₂³	C₂⁴×D₄₃	1	1	yes	characteristic
1362	Q₈	—	344	2	no	—
1363	D₄	—	8	2	no	—
1364	D₄	—	8	2	no	—
1365	D₄	—	8	2	no	—
1366	D₄	—	344	2	no	—
1367	D₄	—	344	2	no	—
1368	D₄	—	172	4	no	—
1369	D₄	—	172	4	no	—
1370	C₂×C₄	—	2	1	no	—
1371	C₂×C₄	—	2	1	no	—
1372	C₂×C₄	—	2	1	no	—
1373	C₂×C₄	—	2	1	no	—
1374	C₂×C₄	—	2	1	no	—
1375	C₂×C₄	—	2	1	no	—
1376	C₂×C₄	—	2	1	no	—
1377	C₂×C₄	—	2	1	no	—
1378	C₂×C₄	—	2	1	no	—
1379	C₂×C₄	—	2	1	no	—
1380	C₂×C₄	—	2	1	no	—
1381	C₂×C₄	—	2	1	no	—
1382	C₂×C₄	—	2	1	no	—
1383	C₂×C₄	—	2	1	no	—
1384	C₂×C₄	—	2	1	no	—
1385	C₂×C₄	—	2	1	no	—
1386	C₂×C₄	—	2	1	no	—
1387	C₂×C₄	—	2	1	no	—
1388	C₂×C₄	—	2	1	no	—
1389	C₂×C₄	—	2	1	no	—
1390	C₂×C₄	—	2	1	no	—
1391	C₂×C₄	—	2	1	no	—
1392	C₂×C₄	—	2	1	no	—
1393	C₂×C₄	—	2	1	no	—
1394	C₂×C₄	—	2	1	no	—
1395	C₂×C₄	—	2	1	no	—
1396	C₂×C₄	—	2	1	no	—
1397	C₂×C₄	—	2	1	no	—
1398	C₂×C₄	—	2	1	no	—
1399	C₂×C₄	—	2	1	no	—
1400	C₂×C₄	—	2	1	no	—
1401	C₂×C₄	—	2	1	no	—
1402	C₂×C₄	—	2	1	no	—
1403	C₂×C₄	—	2	1	no	—
1404	C₂×C₄	—	2	1	no	—
1405	C₂×C₄	—	4	4	no	—
1406	C₂×C₄	—	43	2	no	—
1407	C₂×C₄	—	86	8	no	—
1408	C₂×C₄	—	86	1	no	—
1409	C₂×C₄	—	86	1	no	—
1410	C₂×C₄	—	86	1	no	—
1411	C₂×C₄	—	86	1	no	—
1412	C₂×C₄	—	86	1	no	—
1413	C₂×C₄	—	86	1	no	—
1414	C₂×C₄	—	86	1	no	—
1415	C₂×C₄	—	86	1	no	—
1416	C₂×C₄	—	86	1	no	—
1417	C₂×C₄	—	86	1	no	—
1418	C₂×C₄	—	86	1	no	—
1419	C₂×C₄	—	86	1	no	—
1420	C₂×C₄	—	86	1	no	—
1421	C₂×C₄	—	86	1	no	—
1422	C₂×C₄	—	86	1	no	—
1423	C₂×C₄	—	86	1	no	—
1424	C₂×C₄	—	86	1	no	—
1425	C₂×C₄	—	86	1	no	—
1426	C₂×C₄	—	86	1	no	—
1427	C₂×C₄	—	86	1	no	—
1428	C₂×C₄	—	86	1	no	—
1429	C₂×C₄	—	86	1	no	—
1430	C₂×C₄	—	86	1	no	—
1431	C₂×C₄	—	86	1	no	—
1432	C₂×C₄	—	86	1	no	—
1433	C₂×C₄	—	86	1	no	—
1434	C₂×C₄	—	86	1	no	—
1435	C₂×C₄	—	86	1	no	—
1436	C₂×C₄	—	86	1	no	—
1437	C₂×C₄	—	86	1	no	—
1438	C₂×C₄	—	86	1	no	—
1439	C₂×C₄	—	86	1	no	—
1440	C₂×C₄	—	86	1	no	—
1441	C₂×C₄	—	86	1	no	—
1442	C₂×C₄	—	86	1	no	—
1443	C₂×C₄	—	86	1	no	—
1444	C₂×C₄	—	86	1	no	—
1445	C₂×C₄	—	86	1	no	—
1446	C₂×C₄	—	86	1	no	—
1447	C₂×C₄	—	86	1	no	—
1448	C₂×C₄	—	86	1	no	—
1449	C₂×C₄	—	344	2	no	—
1450	C₂×C₄	—	344	2	no	—
1451	C₂×C₄	—	344	2	no	—
1452	C₂×C₄	—	344	2	no	—
1453	C₂×C₄	—	344	2	no	—
1454	C₂×C₄	—	344	2	no	—
1455	C₂×C₄	—	172	4	no	—
1456	C₂×C₄	—	172	4	no	—
1457	C₂×C₄	—	172	4	no	—
1458	C₂×C₄	—	172	4	no	—
1459	C₂×C₄	#13063370	1	2	yes	—
1460	C₂²	—	2	2	no	—
1461	C₂²	—	2	2	no	—
1462	C₂²	—	2	2	no	—
1463	C₂²	—	4	1	no	—
1464	C₂²	—	4	1	no	—
1465	C₂²	—	4	1	no	—
1466	C₂²	—	4	1	no	—
1467	C₂²	—	4	1	no	—
1468	C₂²	—	4	1	no	—
1469	C₂²	—	4	1	no	—
1470	C₂²	—	4	1	no	—
1471	C₂²	—	4	1	no	—
1472	C₂²	—	4	1	no	—
1473	C₂²	—	4	1	no	—
1474	C₂²	—	4	1	no	—
1475	C₂²	—	4	1	no	—
1476	C₂²	—	4	1	no	—
1477	C₂²	—	4	1	no	—
1478	C₂²	—	4	1	no	—
1479	C₂²	—	4	1	no	—
1480	C₂²	—	4	1	no	—
1481	C₂²	—	43	4	no	—
1482	C₂²	—	86	2	no	—
1483	C₂²	—	86	2	no	—
1484	C₂²	—	86	2	no	—
1485	C₂²	—	86	2	no	—
1486	C₂²	—	86	2	no	—
1487	C₂²	—	86	2	no	—
1488	C₂²	—	86	2	no	—
1489	C₂²	—	86	2	no	—
1490	C₂²	—	86	2	no	—
1491	C₂²	—	172	16	no	—
1492	C₂²	—	172	1	no	—
1493	C₂²	—	172	1	no	—
1494	C₂²	—	172	1	no	—
1495	C₂²	—	172	1	no	—
1496	C₂²	C₂×#41×D₄₃	1	1	yes	characteristic
1497	C₂²	H(5,𝔽₂)×D₄₃	1	1	yes	characteristic
1498	C₂²	H(5,𝔽₂)×D₄₃	1	1	yes	characteristic
1499	C₂²	C₂×#13063370	1	1	yes	characteristic
1500	C₂²	2₋¹⁺⁴×D₄₃	1	1	yes	characteristic
1501	C₂²	#14583734	1	1	yes	characteristic
1502	C₂²	#14583735	1	1	yes	characteristic
1503	C₄	—	2	2	no	—
1504	C₄	—	4	1	no	—
1505	C₄	—	4	1	no	—
1506	C₄	—	4	1	no	—
1507	C₄	—	4	1	no	—
1508	C₄	—	4	1	no	—
1509	C₄	—	4	1	no	—
1510	C₄	—	4	1	no	—
1511	C₄	—	4	1	no	—
1512	C₄	—	4	1	no	—
1513	C₄	—	4	1	no	—
1514	C₄	—	4	1	no	—
1515	C₄	—	86	2	no	—
1516	C₄	—	172	1	no	—
1517	C₄	—	172	1	no	—
1518	C₄	—	172	1	no	—
1519	C₄	—	172	1	no	—
1520	C₄	—	172	1	no	—
1521	C₄	—	172	1	no	—
1522	C₄	—	172	1	no	—
1523	C₄	—	172	1	no	—
1524	C₄	—	172	1	no	—
1525	C₄	—	172	1	no	—
1526	C₄	—	172	1	no	—
1527	C₄	—	172	1	no	—
1528	C₄	—	172	1	no	—
1529	C₂	—	4	2	no	—
1530	C₂	—	8	1	no	—
1531	C₂	—	8	1	no	—
1532	C₂	—	86	4	no	—
1533	C₂	—	172	2	no	—
1534	C₂	#539×D₄₃	1	1	yes	characteristic
1535	C₂	#19148277	1	1	yes	characteristic
1536	C₂	#19148286	1	1	yes	characteristic
1537	C₂	#19148876	1	1	yes	characteristic
1538	C₂	#19148879	1	1	yes	characteristic
1539	C₂	#19148900	1	1	yes	characteristic
1540	C₂	#19148901	1	1	yes	characteristic

	subgroup	G/H
center, Frattini	C₂³	C₂⁴×D₄₃
commutator, socle, cosocle	C₂³×C₄₃	C₂⁵
Fitting	C₄₃×#2705	C₂
prime radical	#19140328	C₂
hypercenter	#2705	D₄₃
hypocenter	C₄₃	#36726
LCS	G ▷ C₂³×C₄₃ ▷ C₄₃
UCS	C₁ ◁ C₂³ ◁ #2705

Complements

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

N	H ≅ G/N	type
1. #19142886	C₂	semidirect
2. #19142884	C₂	semidirect
3. #19141783	C₂	semidirect
4. #19141761	C₂	semidirect
5. #19141745	C₂	semidirect
6. #19141735	C₂	semidirect
7. #19141694	C₂	semidirect
8. #19141686	C₂	semidirect
9. #19141668	C₂	semidirect
10. #19141648	C₂	semidirect
11. #19141291	C₂	semidirect
12. #19141288	C₂	semidirect
13. #19141151	C₂	semidirect
14. #19141124	C₂	semidirect
15. #19141110	C₂	semidirect
16. #19141103	C₂	semidirect
17. #19141010	C₂	semidirect
18. #19140405	C₂	semidirect
20. #19139160	C₂	semidirect
21. #19139103	C₂	semidirect
22. #19138852	C₂	semidirect
23. #19138742	C₂	semidirect
24. #19138414	C₂	semidirect
25. #19138407	C₂	semidirect
26. #19138338	C₂	semidirect
27. #19138323	C₂	semidirect
28. #19137254	C₂	semidirect
29. #19137254	C₂	semidirect
30. #380×D₄₃	C₂	semidirect
31. C₄₃×#2705	C₂	semidirect
33. C₂×#13063315	C₂²	semidirect
37. C₂×#13063306	C₂²	semidirect
39. C₂×#13063302	C₂²	semidirect
49. C₄₃⋊#401	C₂²	semidirect
50. #14582841	C₂²	semidirect
51. #14582841	C₂²	semidirect
52. #14582841	C₂²	semidirect
53. #14582840	C₂²	semidirect
54. #14582840	C₂²	semidirect
55. #14582840	C₂²	semidirect
56. #14582838	C₂²	semidirect
57. #14582838	C₂²	semidirect
58. #14582837	C₂²	semidirect
60. #14582835	C₂²	semidirect
62. #14582833	C₂²	semidirect
63. #14582832	C₂²	semidirect
64. #14582832	C₂²	semidirect
65. #14582832	C₂²	semidirect
66. #14582830	C₂²	semidirect
67. #14582830	C₂²	semidirect
68. #14582830	C₂²	semidirect
69. #14582827	C₂²	semidirect
70. #14582827	C₂²	semidirect
71. #14582827	C₂²	semidirect
72. #14582827	C₂²	semidirect
75. #14582824	C₂²	semidirect
76. #14582824	C₂²	semidirect
78. #14582822	C₂²	semidirect
79. #14582822	C₂²	semidirect
82. #14582819	C₂²	semidirect
89. #14582811	C₂²	semidirect
91. #14582804	C₂²	semidirect
94. #14582797	C₂²	semidirect
95. #14582795	C₂²	semidirect
100. #14582793	C₂²	semidirect
101. #14582793	C₂²	semidirect
102. #14582792	C₂²	semidirect
103. #14582792	C₂²	semidirect
108. #14582786	C₂²	semidirect
109. #14582785	C₂²	semidirect
110. #14582785	C₂²	semidirect
111. #14582784	C₂²	semidirect
112. #14582783	C₂²	semidirect
113. #14582783	C₂²	semidirect
114. #14582782	C₂²	semidirect
115. #14582780	C₂²	semidirect
116. #14582780	C₂²	semidirect
117. #14582780	C₂²	semidirect
121. #14582779	C₂²	semidirect
135. #14582774	C₂²	semidirect
140. #14582771	C₂²	semidirect
141. #14582771	C₂²	semidirect
149. #14582767	C₂²	semidirect
150. #14582763	C₂²	semidirect
155. #14582760	C₂²	semidirect
162. #14582757	C₂²	semidirect
172. C₂×#126×C₄₃	C₂²	semidirect
174. C₄₃×#399	C₂²	semidirect
176. C₄₃×#396	C₂²	semidirect
177. C₄₃×#394	C₂²	semidirect
178. C₄₃×#394	C₂²	semidirect
182. C₄₃×#389	C₂²	semidirect
183. C₄₃×#388	C₂²	semidirect
184. C₄₃×#387	C₂²	semidirect
771. #2705	D₄₃	semidirect
803. C₂×#126	C₂×D₄₃	semidirect
834. #399	C₂×D₄₃	semidirect
856. #396	C₂×D₄₃	semidirect
862. #394	C₂×D₄₃	semidirect
863. #394	C₂×D₄₃	semidirect
876. #389	C₂×D₄₃	semidirect
889. #388	C₂×D₄₃	semidirect
900. #387	C₂×D₄₃	semidirect
957. C₄₃	#36726	semidirect

Maximal subgroups

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

subgroup	index
#19142886	2
#19142884	2
#19141783	2
#19141761	2
#19141745	2
#19141735	2
#19141694	2
#19141686	2
#19141668	2
#19141648	2
#19141291	2
#19141288	2
#19141151	2
#19141124	2
#19141110	2
#19141103	2
#19141010	2
#19140405	2
#19140328	2
#19139160	2
#19139103	2
#19138852	2
#19138742	2
#19138414	2
#19138407	2
#19138338	2
#19138323	2
#19137254	2
#380×D₄₃	2
C₄₃×#2705	2
#36726	43