Subgroups — #25304619

Order 11008.

1842 conjugacy classes of subgroups.

The subgroup lattice has 1536 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#19142946	C₂	1	1	yes	maximal, characteristic, complemented
2	#19142891	C₂	1	1	yes	maximal, characteristic, complemented
3	#19142503	C₂	1	1	yes	maximal, characteristic, complemented
4	#19142499	C₂	1	1	yes	maximal, characteristic, complemented
5	#19142428	C₂	1	1	yes	maximal, characteristic, complemented
6	#19142422	C₂	1	1	yes	maximal, characteristic, complemented
7	#19142142	C₂	1	1	yes	maximal, characteristic, complemented
8	#19142138	C₂	1	1	yes	maximal, characteristic, complemented
9	#19141964	C₂	1	1	yes	maximal, characteristic, complemented
10	#19141962	C₂	1	1	yes	maximal, characteristic, complemented
11	#19141935	C₂	1	1	yes	maximal, characteristic, complemented
12	#19141932	C₂	1	1	yes	maximal, characteristic, complemented
13	#19141594	C₂	1	1	yes	maximal, characteristic, complemented
14	#19141593	C₂	1	1	yes	maximal, characteristic, complemented
15	#19141331	C₂	1	1	yes	maximal, characteristic, complemented
16	#19140882	C₂	1	1	yes	maximal, characteristic, complemented
17	#19140876	C₂	1	1	yes	maximal, characteristic, complemented
18	#19140399	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	#19139148	C₂	1	1	yes	maximal, characteristic, complemented
22	#19138727	C₂	1	1	yes	maximal, characteristic, complemented
23	#19138716	C₂	1	1	yes	maximal, characteristic, complemented
24	#19138407	C₂	1	1	yes	maximal, characteristic, complemented
25	#19138403	C₂	1	1	yes	maximal, characteristic, complemented
26	#19138054	C₂	1	1	yes	maximal, characteristic, complemented
27	#19138052	C₂	1	1	yes	maximal, characteristic, complemented
28	#19137327	C₂	1	1	yes	maximal, characteristic, complemented
29	#19137297	C₂	1	1	yes	maximal, characteristic, complemented
30	#388×D₄₃	C₂	1	1	yes	maximal, characteristic, complemented
31	C₄₃×#2710	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂×#13063324	C₂²	1	1	yes	characteristic, complemented
33	C₂×#13063312	C₂²	1	1	yes	characteristic
34	C₂×#13063311	C₂²	1	1	yes	characteristic
35	C₂×#13063309	C₂²	1	1	yes	characteristic
36	C₂×#13063304	C₂²	1	1	yes	characteristic, complemented
37	C₂×#13063303	C₂²	1	1	yes	characteristic
38	C₂×#13063303	C₂²	1	1	yes	characteristic
39	C₂×#13063302	C₂²	1	1	yes	characteristic, complemented
40	C₂×#13063301	C₂²	1	1	yes	characteristic
41	C₂×#13063296	C₂²	1	1	yes	characteristic
42	C₂×#13063293	C₂²	1	1	yes	characteristic
43	C₂×#13063293	C₂²	1	1	yes	characteristic
44	C₂×C₄×C₂²⋊D₄₃	C₂²	1	1	yes	characteristic
45	C₂×(C₂²⋊D₄₃)⋊C₄	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	C₂×C₂²⋊C₄×D₄₃	C₂²	1	1	yes	characteristic
50	C₂×C₄²×D₄₃	C₂²	1	1	yes	characteristic
51	C₄₃⋊#401	C₂²	1	1	yes	characteristic, complemented
52	C₄₃⋊#401	C₂²	1	1	yes	characteristic, complemented
53	#14582841	C₂²	1	1	yes	characteristic, complemented
54	#14582838	C₂²	1	1	yes	characteristic, complemented
55	#14582836	C₂²	1	1	yes	characteristic
56	#14582835	C₂²	1	1	yes	characteristic
57	#14582835	C₂²	1	1	yes	characteristic
58	#14582835	C₂²	1	1	yes	characteristic, complemented
59	#14582834	C₂²	1	1	yes	characteristic
60	#14582832	C₂²	1	1	yes	characteristic, complemented
61	#14582830	C₂²	1	1	yes	characteristic, complemented
62	#14582828	C₂²	1	1	yes	characteristic
63	#14582827	C₂²	1	1	yes	characteristic
64	#14582827	C₂²	1	1	yes	characteristic
65	#14582827	C₂²	1	1	yes	characteristic, complemented
66	#14582826	C₂²	1	1	yes	characteristic
67	#14582825	C₂²	1	1	yes	characteristic
68	#14582824	C₂²	1	1	yes	characteristic
69	#14582824	C₂²	1	1	yes	characteristic, complemented
70	#14582824	C₂²	1	1	yes	characteristic, complemented
71	#14582823	C₂²	1	1	yes	characteristic
72	#14582823	C₂²	1	1	yes	characteristic
73	#14582822	C₂²	1	1	yes	characteristic
74	#14582822	C₂²	1	1	yes	characteristic
75	#14582822	C₂²	1	1	yes	characteristic, complemented
76	#14582822	C₂²	1	1	yes	characteristic, complemented
77	#14582820	C₂²	1	1	yes	characteristic, complemented
78	#14582819	C₂²	1	1	yes	characteristic, complemented
79	#14582815	C₂²	1	1	yes	characteristic
80	#14582814	C₂²	1	1	yes	characteristic
81	#14582814	C₂²	1	1	yes	characteristic
82	#14582814	C₂²	1	1	yes	characteristic
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	#14582813	C₂²	1	1	yes	characteristic
88	#14582813	C₂²	1	1	yes	characteristic
89	#14582812	C₂²	1	1	yes	characteristic
90	#14582811	C₂²	1	1	yes	characteristic
91	#14582810	C₂²	1	1	yes	characteristic
92	#14582807	C₂²	1	1	yes	characteristic
93	#14582806	C₂²	1	1	yes	characteristic, complemented
94	#14582806	C₂²	1	1	yes	characteristic, complemented
95	#14582803	C₂²	1	1	yes	characteristic, complemented
96	#14582803	C₂²	1	1	yes	characteristic, complemented
97	#14582802	C₂²	1	1	yes	characteristic, complemented
98	#14582799	C₂²	1	1	yes	characteristic
99	#14582797	C₂²	1	1	yes	characteristic, complemented
100	#14582796	C₂²	1	1	yes	characteristic, complemented
101	#14582795	C₂²	1	1	yes	characteristic, complemented
102	#14582794	C₂²	1	1	yes	characteristic, complemented
103	#14582794	C₂²	1	1	yes	characteristic, complemented
104	#14582794	C₂²	1	1	yes	characteristic, complemented
105	#14582794	C₂²	1	1	yes	characteristic, complemented
106	#14582793	C₂²	1	1	yes	characteristic
107	#14582793	C₂²	1	1	yes	characteristic, complemented
108	#14582792	C₂²	1	1	yes	characteristic
109	#14582792	C₂²	1	1	yes	characteristic
110	#14582792	C₂²	1	1	yes	characteristic
111	#14582792	C₂²	1	1	yes	characteristic, complemented
112	#14582792	C₂²	1	1	yes	characteristic, complemented
113	#14582791	C₂²	1	1	yes	characteristic
114	#14582790	C₂²	1	1	yes	characteristic
115	#14582790	C₂²	1	1	yes	characteristic
116	#14582789	C₂²	1	1	yes	characteristic
117	#14582789	C₂²	1	1	yes	characteristic
118	#14582789	C₂²	1	1	yes	characteristic
119	#14582789	C₂²	1	1	yes	characteristic
120	#14582788	C₂²	1	1	yes	characteristic
121	#14582787	C₂²	1	1	yes	characteristic
122	#14582787	C₂²	1	1	yes	characteristic
123	#14582787	C₂²	1	1	yes	characteristic
124	#14582787	C₂²	1	1	yes	characteristic, complemented
125	#14582787	C₂²	1	1	yes	characteristic, complemented
126	#14582787	C₂²	1	1	yes	characteristic, complemented
127	#14582787	C₂²	1	1	yes	characteristic, complemented
128	#14582787	C₂²	1	1	yes	characteristic, complemented
129	#14582787	C₂²	1	1	yes	characteristic, complemented
130	#14582785	C₂²	1	1	yes	characteristic, complemented
131	#14582784	C₂²	1	1	yes	characteristic, complemented
132	#14582784	C₂²	1	1	yes	characteristic, complemented
133	#14582784	C₂²	1	1	yes	characteristic, complemented
134	#14582783	C₂²	1	1	yes	characteristic, complemented
135	#14582782	C₂²	1	1	yes	characteristic, complemented
136	#14582782	C₂²	1	1	yes	characteristic, complemented
137	#14582782	C₂²	1	1	yes	characteristic, complemented
138	#14582781	C₂²	1	1	yes	characteristic, complemented
139	#14582781	C₂²	1	1	yes	characteristic, complemented
140	#14582779	C₂²	1	1	yes	characteristic
141	#14582779	C₂²	1	1	yes	characteristic, complemented
142	#14582778	C₂²	1	1	yes	characteristic
143	#14582775	C₂²	1	1	yes	characteristic
144	#14582775	C₂²	1	1	yes	characteristic
145	#14582775	C₂²	1	1	yes	characteristic
146	#14582775	C₂²	1	1	yes	characteristic
147	#14582775	C₂²	1	1	yes	characteristic
148	#14582775	C₂²	1	1	yes	characteristic
149	#14582775	C₂²	1	1	yes	characteristic
150	#14582775	C₂²	1	1	yes	characteristic
151	#14582773	C₂²	1	1	yes	characteristic
152	#14582773	C₂²	1	1	yes	characteristic
153	#14582773	C₂²	1	1	yes	characteristic
154	#14582772	C₂²	1	1	yes	characteristic, complemented
155	#14582771	C₂²	1	1	yes	characteristic, complemented
156	#14582771	C₂²	1	1	yes	characteristic, complemented
157	#14582770	C₂²	1	1	yes	characteristic
158	#14582768	C₂²	1	1	yes	characteristic, complemented
159	#14582767	C₂²	1	1	yes	characteristic, complemented
160	#14582766	C₂²	1	1	yes	characteristic, complemented
161	#14582765	C₂²	1	1	yes	characteristic, complemented
162	#14582758	C₂²	1	1	yes	characteristic
163	#14582758	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	#14582746	C₂²	1	1	yes	characteristic
170	#95×D₄₃	C₂²	1	1	yes	characteristic
171	#95×D₄₃	C₂²	1	1	yes	characteristic
172	C₂×#124×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×#397	C₂²	1	1	yes	characteristic, complemented
176	C₄₃×#394	C₂²	1	1	yes	characteristic
177	C₄₃×#394	C₂²	1	1	yes	characteristic
178	C₄₃×#393	C₂²	1	1	yes	characteristic
179	C₄₃×#392	C₂²	1	1	yes	characteristic
180	C₄₃×#391	C₂²	1	1	yes	characteristic, complemented
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
184	C₄₃×#388	C₂²	1	1	yes	characteristic, complemented
185	C₄₃×#386	C₂²	1	1	yes	characteristic, complemented
186	C₄₃×#385	C₂²	1	1	yes	characteristic, complemented
187	C₂⁴×D₄₃	C₂³	1	1	yes	characteristic
188	C₂²×Dic₈₆	C₂³	1	1	yes	characteristic
189	C₂²×Dic₈₆	C₂³	1	1	yes	characteristic
190	C₂²×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	C₂²×C₂²⋊D₄₃	C₂³	1	1	yes	characteristic
194	C₂³×Dic₄₃	C₂³	1	1	yes	characteristic
195	C₂²×C₄×D₄₃	C₂³	1	1	yes	characteristic
196	C₂²×C₄×D₄₃	C₂³	1	1	yes	characteristic
197	C₂²×C₄×D₄₃	C₂³	1	1	yes	characteristic
198	C₂²×C₄×D₄₃	C₂³	1	1	yes	characteristic
199	C₂²×C₄×D₄₃	C₂³	1	1	yes	characteristic
200	C₂²×C₄×D₄₃	C₂³	1	1	yes	characteristic
201	#13063324	—	4	2	no	—
202	#13063312	—	4	2	no	—
203	#13063311	—	4	2	no	—
204	#13063309	—	4	2	no	—
205	#13063304	—	4	2	no	—
206	#13063303	—	4	2	no	—
207	#13063303	—	4	2	no	—
208	#13063302	—	4	2	no	—
209	#13063301	—	2	4	no	—
210	#13063296	—	2	4	no	—
211	#13063293	—	4	2	no	—
212	#13063293	—	4	2	no	—
213	C₄×C₂²⋊D₄₃	—	4	2	no	—
214	(C₂²⋊D₄₃)⋊C₄	—	4	2	no	—
215	C₂×C₄⋊Dic₄₃	C₂³	1	1	yes	characteristic
216	C₂×C₄⋊Dic₄₃	C₂³	1	1	yes	characteristic
217	C₂×C₄⋊Dic₄₃	C₂³	1	1	yes	characteristic
218	C₂×C₄⋊Dic₄₃	C₂³	1	1	yes	characteristic
219	C₂×C₄⋊Dic₄₃	C₂³	1	1	yes	characteristic
220	C₂×C₄⋊Dic₄₃	C₂³	1	1	yes	characteristic
221	C₂×C₄⋊Dic₄₃	C₂³	1	1	yes	characteristic
222	C₂×C₄⋊Dic₄₃	C₂³	1	1	yes	characteristic
223	C₂×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	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	C₄⋊C₄×D₄₃	—	4	2	no	—
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×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×(C₂×D₄₃)⋊C₄	C₂³	1	1	yes	characteristic
261	C₂×(C₂×D₄₃)⋊C₄	C₂³	1	1	yes	characteristic
262	C₂×(C₂×D₄₃)⋊C₄	C₂³	1	1	yes	characteristic
263	C₂×(C₂×D₄₃)⋊C₄	C₂³	1	1	yes	characteristic
264	C₂×(C₂×D₄₃)⋊C₄	C₂³	1	1	yes	characteristic
265	C₂×(C₂×D₄₃)⋊C₄	C₂³	1	1	yes	characteristic
266	C₂×(C₂×D₄₃)⋊C₄	C₂³	1	1	yes	characteristic
267	C₂×(C₂×D₄₃)⋊C₄	C₂³	1	1	yes	characteristic
268	C₂×(C₂×D₄₃)⋊C₄	C₂³	1	1	yes	characteristic
269	C₂×(C₂×D₄₃)⋊C₄	C₂³	1	1	yes	characteristic
270	C₂×(C₂×D₄₃)⋊C₄	C₂³	1	1	yes	characteristic
271	C₂×(C₂×D₄₃)⋊C₄	C₂³	1	1	yes	characteristic
272	C₂×(C₂×D₄₃)⋊C₄	C₂³	1	1	yes	characteristic
273	C₂×(C₂×D₄₃)⋊C₄	C₂³	1	1	yes	characteristic
274	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	—	2	4	no	—
279	C₂²⋊C₄×D₄₃	—	4	2	no	—
280	C₂²⋊C₄×D₄₃	—	4	2	no	—
281	C₂×C₄×Dic₄₃	C₂³	1	1	yes	characteristic
282	C₂×C₄×Dic₄₃	C₂³	1	1	yes	characteristic
283	C₂×C₄×Dic₄₃	C₂³	1	1	yes	characteristic
284	C₂×C₄×Dic₄₃	C₂³	1	1	yes	characteristic
285	C₂×C₄×Dic₄₃	C₂³	1	1	yes	characteristic
286	C₂×C₄×Dic₄₃	C₂³	1	1	yes	characteristic
287	C₂×C₄×Dic₄₃	C₂³	1	1	yes	characteristic
288	C₂×C₄×Dic₄₃	C₂³	1	1	yes	characteristic
289	C₄²×D₄₃	—	4	2	no	—
290	C₄₃⋊#95	C₂³	1	1	yes	characteristic
291	C₄₃⋊#95	C₂³	1	1	yes	characteristic
292	C₄₃⋊#95	C₂³	1	1	yes	characteristic
293	C₄₃⋊#95	C₂³	1	1	yes	characteristic
294	C₄₃⋊#95	C₂³	1	1	yes	characteristic
295	C₄₃⋊#95	C₂³	1	1	yes	characteristic
296	C₄₃⋊#95	C₂³	1	1	yes	characteristic
297	C₄₃⋊#95	C₂³	1	1	yes	characteristic
298	C₄₃⋊#95	C₂³	1	1	yes	characteristic
299	C₄₃⋊#95	C₂³	1	1	yes	characteristic
300	C₄₃⋊#95	C₂³	1	1	yes	characteristic
301	C₄₃⋊#95	C₂³	1	1	yes	characteristic
302	C₄₃⋊#95	C₂³	1	1	yes	characteristic
303	C₄₃⋊#95	C₂³	1	1	yes	characteristic
304	C₄₃⋊#95	C₂³	1	1	yes	characteristic
305	C₄₃⋊#95	C₂³	1	1	yes	characteristic
306	C₄₃⋊#95	C₂³	1	1	yes	characteristic
307	C₄₃⋊#95	C₂³	1	1	yes	characteristic
308	C₄₃⋊#95	C₂³	1	1	yes	characteristic
309	C₄₃⋊#95	C₂³	1	1	yes	characteristic
310	C₄₃⋊#95	C₂³	1	1	yes	characteristic
311	C₄₃⋊#95	C₂³	1	1	yes	characteristic
312	C₄₃⋊#95	C₂³	1	1	yes	characteristic
313	C₄₃⋊#95	C₂³	1	1	yes	characteristic
314	C₄₃⋊#95	C₂³	1	1	yes	characteristic
315	C₄₃⋊#95	C₂³	1	1	yes	characteristic
316	C₄₃⋊#95	C₂³	1	1	yes	characteristic
317	C₄₃⋊#95	C₂³	1	1	yes	characteristic
318	C₄₃⋊#95	C₂³	1	1	yes	characteristic
319	C₄₃⋊#95	C₂³	1	1	yes	characteristic
320	C₄₃⋊#95	C₂³	1	1	yes	characteristic
321	C₄₃⋊#95	C₂³	1	1	yes	characteristic
322	C₄₃⋊#95	C₂³	1	1	yes	characteristic
323	C₄₃⋊#95	C₂³	1	1	yes	characteristic
324	C₄₃⋊#95	C₂³	1	1	yes	characteristic
325	C₄₃⋊#95	C₂³	1	1	yes	characteristic
326	C₂²×Q₈×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	C₂²×D₄×C₄₃	C₂³	1	1	yes	characteristic
330	C₂³×C₄×C₄₃	C₂³	1	1	yes	characteristic
331	#124×C₄₃	—	4	2	no	—
332	#123×C₄₃	—	4	2	no	—
333	C₂×C₄⋊C₄×C₄₃	C₂³	1	1	yes	characteristic
334	C₂×C₄⋊C₄×C₄₃	C₂³	1	1	yes	characteristic
335	C₂×C₄⋊C₄×C₄₃	C₂³	1	1	yes	characteristic
336	C₂×C₄⋊C₄×C₄₃	C₂³	1	1	yes	characteristic
337	C₂×C₄⋊C₄×C₄₃	C₂³	1	1	yes	characteristic
338	C₂×C₄⋊C₄×C₄₃	C₂³	1	1	yes	characteristic
339	C₂×C₂²⋊C₄×C₄₃	C₂³	1	1	yes	characteristic
340	C₂×C₂²⋊C₄×C₄₃	C₂³	1	1	yes	characteristic
341	C₂×C₂²⋊C₄×C₄₃	C₂³	1	1	yes	characteristic
342	C₂×C₂²⋊C₄×C₄₃	C₂³	1	1	yes	characteristic
343	C₂×C₂²⋊C₄×C₄₃	C₂³	1	1	yes	characteristic
344	C₂×C₂²⋊C₄×C₄₃	C₂³	1	1	yes	characteristic
345	C₂×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×C₄²×C₄₃	C₂³	1	1	yes	characteristic
354	C₂×C₄²×C₄₃	C₂³	1	1	yes	characteristic
355	#95×C₄₃	C₂³	1	1	yes	characteristic
356	#95×C₄₃	C₂³	1	1	yes	characteristic
357	#95×C₄₃	C₂³	1	1	yes	characteristic
358	#95×C₄₃	C₂³	1	1	yes	characteristic
359	#95×C₄₃	C₂³	1	1	yes	characteristic
360	#95×C₄₃	C₂³	1	1	yes	characteristic
361	#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	—	2	2	no	—
369	C₂³×D₄₃	—	4	1	no	—
370	C₂³×D₄₃	—	4	1	no	—
371	C₂³×D₄₃	—	4	1	no	—
372	C₂³×D₄₃	—	4	1	no	—
373	C₂³×D₄₃	C₂⁴	1	1	yes	characteristic
374	C₂³×D₄₃	C₂⁴	1	1	yes	characteristic
375	C₂×Q₈×C₄₃	—	2	2	no	—
376	C₂×Q₈×C₄₃	—	4	1	no	—
377	C₂×Q₈×C₄₃	—	4	1	no	—
378	C₂×D₄×C₄₃	—	2	2	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	C₂×D₄×C₄₃	—	4	1	no	—
385	C₂×D₄×C₄₃	—	4	1	no	—
386	C₂×D₄×C₄₃	—	4	1	no	—
387	C₂²×C₄×C₄₃	—	4	1	no	—
388	C₂²×C₄×C₄₃	—	4	1	no	—
389	C₂²×C₄×C₄₃	—	4	1	no	—
390	C₂²×C₄×C₄₃	C₂⁴	1	1	yes	characteristic
391	C₂²×C₄×C₄₃	C₂⁴	1	1	yes	characteristic
392	C₂²×C₄×C₄₃	C₂⁴	1	1	yes	characteristic
393	C₂²×C₄×C₄₃	C₂⁴	1	1	yes	characteristic
394	C₂²×C₄×C₄₃	C₂⁴	1	1	yes	characteristic
395	C₂²×C₄×C₄₃	C₂⁴	1	1	yes	characteristic
396	C₂²×C₄×C₄₃	C₂⁴	1	1	yes	characteristic
397	C₂²×C₄×C₄₃	C₂⁴	1	1	yes	characteristic
398	C₂²×C₄×C₄₃	C₂⁴	1	1	yes	characteristic
399	C₂²×C₄×C₄₃	C₂⁴	1	1	yes	characteristic
400	C₂²×C₄×C₄₃	C₂⁴	1	1	yes	characteristic
401	C₂²×C₄×C₄₃	C₂⁴	1	1	yes	characteristic
402	C₂×C₂²⋊D₄₃	—	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	—	2	2	no	—
408	C₂×C₂²⋊D₄₃	—	4	1	no	—
409	C₂×C₂²⋊D₄₃	—	4	1	no	—
410	C₂×C₂²⋊D₄₃	—	4	1	no	—
411	C₂×C₂²⋊D₄₃	—	4	1	no	—
412	C₂×C₂²⋊D₄₃	—	4	1	no	—
413	C₂×C₂²⋊D₄₃	—	4	1	no	—
414	C₂²×Dic₄₃	—	4	1	no	—
415	C₂²×Dic₄₃	—	4	1	no	—
416	C₂²×Dic₄₃	—	4	1	no	—
417	C₂²×Dic₄₃	C₂⁴	1	1	yes	characteristic
418	C₂²×Dic₄₃	C₂⁴	1	1	yes	characteristic
419	C₂²×Dic₄₃	C₂⁴	1	1	yes	characteristic
420	C₂²×Dic₄₃	C₂⁴	1	1	yes	characteristic
421	C₂²×Dic₄₃	C₂⁴	1	1	yes	characteristic
422	C₂²×Dic₄₃	C₂⁴	1	1	yes	characteristic
423	C₂²×Dic₄₃	C₂⁴	1	1	yes	characteristic
424	C₂²×Dic₄₃	C₂⁴	1	1	yes	characteristic
425	C₂²×Dic₄₃	C₂⁴	1	1	yes	characteristic
426	C₂²×Dic₄₃	C₂⁴	1	1	yes	characteristic
427	C₂²×Dic₄₃	C₂⁴	1	1	yes	characteristic
428	C₂²×Dic₄₃	C₂⁴	1	1	yes	characteristic
429	C₂²×Dic₄₃	C₂⁴	1	1	yes	characteristic
430	C₂²×Dic₄₃	C₂⁴	1	1	yes	characteristic
431	C₂×C₄×D₄₃	—	2	2	no	—
432	C₂×C₄×D₄₃	—	2	2	no	—
433	C₂×C₄×D₄₃	—	2	2	no	—
434	C₂×C₄×D₄₃	—	2	2	no	—
435	C₂×C₄×D₄₃	—	2	2	no	—
436	C₂×C₄×D₄₃	—	2	2	no	—
437	C₂×C₄×D₄₃	—	2	2	no	—
438	C₂×C₄×D₄₃	—	4	1	no	—
439	C₂×C₄×D₄₃	—	4	1	no	—
440	C₂×C₄×D₄₃	—	4	1	no	—
441	C₂×C₄×D₄₃	—	4	1	no	—
442	C₂×C₄×D₄₃	—	4	1	no	—
443	C₂×C₄×D₄₃	—	4	1	no	—
444	C₂×C₄×D₄₃	—	4	1	no	—
445	C₂×C₄×D₄₃	—	4	1	no	—
446	C₂×C₄×D₄₃	—	4	1	no	—
447	C₂×C₄×D₄₃	—	4	1	no	—
448	C₂×C₄×D₄₃	#41	1	4	yes	—
449	C₂×Dic₈₆	—	2	2	no	—
450	C₂×Dic₈₆	—	2	2	no	—
451	C₂×Dic₈₆	—	4	1	no	—
452	C₂×Dic₈₆	—	4	1	no	—
453	C₂×Dic₈₆	—	4	1	no	—
454	C₂×Dic₈₆	—	4	1	no	—
455	C₄⋊C₄×C₄₃	—	2	2	no	—
456	C₄⋊C₄×C₄₃	—	4	1	no	—
457	C₄⋊C₄×C₄₃	—	4	1	no	—
458	C₄⋊C₄×C₄₃	—	4	1	no	—
459	C₄⋊C₄×C₄₃	—	4	1	no	—
460	C₄⋊C₄×C₄₃	—	4	1	no	—
461	C₂²⋊C₄×C₄₃	—	2	2	no	—
462	C₂²⋊C₄×C₄₃	—	2	2	no	—
463	C₂²⋊C₄×C₄₃	—	2	2	no	—
464	C₂²⋊C₄×C₄₃	—	2	2	no	—
465	C₂²⋊C₄×C₄₃	—	4	1	no	—
466	C₂²⋊C₄×C₄₃	—	4	1	no	—
467	C₂²⋊C₄×C₄₃	—	4	1	no	—
468	C₂²⋊C₄×C₄₃	—	4	1	no	—
469	C₂²⋊C₄×C₄₃	—	4	1	no	—
470	C₂²⋊C₄×C₄₃	—	4	1	no	—
471	C₂²⋊C₄×C₄₃	—	4	1	no	—
472	C₂²⋊C₄×C₄₃	—	4	1	no	—
473	C₂²⋊C₄×C₄₃	—	4	1	no	—
474	C₂²⋊C₄×C₄₃	—	4	1	no	—
475	C₄²×C₄₃	—	2	2	no	—
476	C₄²×C₄₃	—	4	1	no	—
477	C₂²⋊Dic₄₃	—	2	2	no	—
478	C₂²⋊Dic₄₃	—	2	2	no	—
479	C₂²⋊Dic₄₃	—	2	2	no	—
480	C₂²⋊Dic₄₃	—	2	2	no	—
481	C₂²⋊Dic₄₃	—	2	2	no	—
482	C₂²⋊Dic₄₃	—	2	2	no	—
483	C₂²⋊Dic₄₃	—	4	1	no	—
484	C₂²⋊Dic₄₃	—	4	1	no	—
485	C₂²⋊Dic₄₃	—	4	1	no	—
486	C₂²⋊Dic₄₃	—	4	1	no	—
487	C₂²⋊Dic₄₃	—	4	1	no	—
488	C₂²⋊Dic₄₃	—	4	1	no	—
489	C₂²⋊Dic₄₃	—	4	1	no	—
490	C₂²⋊Dic₄₃	—	4	1	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	(C₂×D₄₃)⋊C₄	—	2	2	no	—
496	(C₂×D₄₃)⋊C₄	—	2	2	no	—
497	(C₂×D₄₃)⋊C₄	—	2	2	no	—
498	(C₂×D₄₃)⋊C₄	—	2	2	no	—
499	(C₂×D₄₃)⋊C₄	—	2	2	no	—
500	(C₂×D₄₃)⋊C₄	—	2	2	no	—
501	(C₂×D₄₃)⋊C₄	—	2	2	no	—
502	(C₂×D₄₃)⋊C₄	—	2	2	no	—
503	(C₂×D₄₃)⋊C₄	—	2	2	no	—
504	(C₂×D₄₃)⋊C₄	—	2	2	no	—
505	(C₂×D₄₃)⋊C₄	—	4	1	no	—
506	(C₂×D₄₃)⋊C₄	—	4	1	no	—
507	(C₂×D₄₃)⋊C₄	—	4	1	no	—
508	(C₂×D₄₃)⋊C₄	—	4	1	no	—
509	(C₂×D₄₃)⋊C₄	—	4	1	no	—
510	(C₂×D₄₃)⋊C₄	—	4	1	no	—
511	(C₂×D₄₃)⋊C₄	—	4	1	no	—
512	(C₂×D₄₃)⋊C₄	—	4	1	no	—
513	C₄⋊Dic₄₃	—	2	2	no	—
514	C₄⋊Dic₄₃	—	2	2	no	—
515	C₄⋊Dic₄₃	—	2	2	no	—
516	C₄⋊Dic₄₃	—	2	2	no	—
517	C₄⋊Dic₄₃	—	4	1	no	—
518	C₄⋊Dic₄₃	—	4	1	no	—
519	C₄⋊Dic₄₃	—	4	1	no	—
520	C₄⋊Dic₄₃	—	4	1	no	—
521	Dic₄₃⋊C₄	—	2	2	no	—
522	Dic₄₃⋊C₄	—	2	2	no	—
523	Dic₄₃⋊C₄	—	2	2	no	—
524	Dic₄₃⋊C₄	—	4	1	no	—
525	Dic₄₃⋊C₄	—	4	1	no	—
526	Dic₄₃⋊C₄	—	4	1	no	—
527	Dic₄₃⋊C₄	—	4	1	no	—
528	Dic₄₃⋊C₄	—	4	1	no	—
529	Dic₄₃⋊C₄	—	4	1	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	C₄×Dic₄₃	—	2	2	no	—
540	C₄×Dic₄₃	—	4	1	no	—
541	C₄×Dic₄₃	—	4	1	no	—
542	C₄×Dic₄₃	—	4	1	no	—
543	C₄×Dic₄₃	—	4	1	no	—
544	C₄×Dic₄₃	—	4	1	no	—
545	C₄×Dic₄₃	—	4	1	no	—
546	C₄×Dic₄₃	—	4	1	no	—
547	C₂³×C₄₃	—	2	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	C₂⁵	1	1	yes	characteristic
569	C₂²×D₄₃	—	2	1	no	—
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	—	4	4	no	—
581	C₂²×D₄₃	—	4	4	no	—
582	C₂²×D₄₃	—	4	4	no	—
583	C₂²×D₄₃	—	8	2	no	—
584	C₂²×D₄₃	—	8	2	no	—
585	C₂²×D₄₃	—	8	2	no	—
586	C₂²×D₄₃	—	8	2	no	—
587	C₂²×D₄₃	C₂×#41	1	2	yes	—
588	C₂²×D₄₃	H(5,𝔽₂)	1	2	yes	—
589	C₂²×D₄₃	2₋¹⁺⁴	1	2	yes	—
590	Q₈×C₄₃	—	8	2	no	—
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	—	8	2	no	—
629	C₂×C₄×C₄₃	C₂×#41	1	2	yes	—
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	—	8	2	no	—
676	C₂×Dic₄₃	C₂×#41	1	2	yes	—
677	C₂×Dic₄₃	H(5,𝔽₂)	1	2	yes	—
678	C₄×D₄₃	—	4	4	no	—
679	C₄×D₄₃	—	4	4	no	—
680	C₄×D₄₃	—	4	4	no	—
681	C₄×D₄₃	—	4	4	no	—
682	C₄×D₄₃	—	8	2	no	—
683	C₄×D₄₃	—	8	2	no	—
684	Dic₈₆	—	8	2	no	—
685	Dic₈₆	—	8	2	no	—
686	#36766	—	43	1	no	maximal, Sylow
687	C₂²×C₄₃	—	4	1	no	—
688	C₂²×C₄₃	—	4	1	no	—
689	C₂²×C₄₃	—	4	1	no	—
690	C₂²×C₄₃	—	4	1	no	—
691	C₂²×C₄₃	—	4	1	no	—
692	C₂²×C₄₃	—	4	1	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	C₂²×#41	1	1	yes	characteristic
709	C₂²×C₄₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
710	C₂²×C₄₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
711	C₂²×C₄₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
712	C₂²×C₄₃	C₂×2₋¹⁺⁴	1	1	yes	characteristic
713	C₂²×C₄₃	#585	1	1	yes	characteristic
714	C₂²×C₄₃	#585	1	1	yes	characteristic
715	C₂×D₄₃	—	2	2	no	—
716	C₂×D₄₃	—	2	2	no	—
717	C₂×D₄₃	—	2	2	no	—
718	C₂×D₄₃	—	2	2	no	—
719	C₂×D₄₃	—	2	2	no	—
720	C₂×D₄₃	—	2	2	no	—
721	C₂×D₄₃	—	4	1	no	—
722	C₂×D₄₃	—	4	1	no	—
723	C₂×D₄₃	—	4	1	no	—
724	C₂×D₄₃	—	4	1	no	—
725	C₂×D₄₃	—	4	1	no	—
726	C₂×D₄₃	—	4	1	no	—
727	C₂×D₄₃	—	4	1	no	—
728	C₂×D₄₃	—	8	8	no	—
729	C₂×D₄₃	#542	1	4	yes	—
730	C₄×C₄₃	—	2	2	no	—
731	C₄×C₄₃	—	2	2	no	—
732	C₄×C₄₃	—	4	1	no	—
733	C₄×C₄₃	—	4	1	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	Dic₄₃	—	2	2	no	—
743	Dic₄₃	—	2	2	no	—
744	Dic₄₃	—	4	1	no	—
745	Dic₄₃	—	4	1	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	#2857	—	43	1	no	—
757	#2850	—	43	1	no	—
758	#2801	—	43	1	no	—
759	#2801	—	43	1	no	—
760	#2795	—	43	1	no	—
761	#2795	—	43	1	no	—
762	#2773	—	43	1	no	—
763	#2773	—	43	1	no	—
764	#2759	—	43	1	no	—
765	#2759	—	43	1	no	—
766	#2757	—	43	1	no	—
767	#2757	—	43	1	no	—
768	#2730	—	43	1	no	—
769	#2730	—	43	1	no	—
770	#2710	—	43	1	no	—
771	#2710	D₄₃	1	1	yes	characteristic, complemented
772	#2674	—	43	1	no	—
773	#2674	—	43	1	no	—
774	#2626	—	43	1	no	—
775	#2617	—	43	1	no	—
776	#2510	—	43	1	no	—
777	#2510	—	43	1	no	—
778	#2472	—	43	1	no	—
779	#2472	—	43	1	no	—
780	#2449	—	43	1	no	—
781	#2449	—	43	1	no	—
782	#2418	—	43	1	no	—
783	#2418	—	43	1	no	—
784	#2329	—	43	1	no	—
785	#2325	—	43	1	no	—
786	C₂×#388	—	43	1	no	—
787	C₂×C₄₃	—	8	1	no	—
788	C₂×C₄₃	—	8	1	no	—
789	C₂×C₄₃	—	8	1	no	—
790	C₂×C₄₃	C₂×#542	1	1	yes	characteristic
791	C₂×C₄₃	#3505	1	1	yes	characteristic
792	C₂×C₄₃	#3506	1	1	yes	characteristic
793	C₂×C₄₃	#3535	1	1	yes	characteristic
794	C₂×C₄₃	#3537	1	1	yes	characteristic
795	C₂×C₄₃	#3560	1	1	yes	characteristic
796	C₂×C₄₃	#3561	1	1	yes	characteristic
797	D₄₃	—	2	4	no	—
798	D₄₃	—	8	1	no	—
799	C₂×C₄⋊Q₈	—	43	1	no	—
800	C₂×#124	—	43	1	no	—
801	C₂×#124	—	43	1	no	—
802	C₂×#124	C₂×D₄₃	1	1	yes	characteristic, complemented
803	C₂×#123	—	43	1	no	—
804	C₂×#123	C₂×D₄₃	1	1	yes	characteristic
805	C₂×C₂²⋊Q₈	—	43	1	no	—
806	C₂×C₂²⋊Q₈	—	43	1	no	—
807	C₂×C₂²⋊Q₈	—	43	1	no	—
808	C₂×C₂²⋊Q₈	—	43	1	no	—
809	C₂×C₂²⋊Q₈	—	43	1	no	—
810	C₂×#121	—	43	1	no	—
811	C₂×#120	—	43	1	no	—
812	C₂×#120	—	43	1	no	—
813	C₂×C₄×D₄	—	43	1	no	—
814	C₂×C₄×D₄	—	43	1	no	—
815	C₂²×C₄⋊C₄	—	43	1	no	—
816	C₂²×C₂²⋊C₄	—	43	1	no	—
817	C₂²×C₂²⋊C₄	—	43	1	no	—
818	C₂²×C₂²⋊C₄	—	43	1	no	—
819	C₂²×C₄²	—	43	1	no	—
820	#401	—	43	1	no	—
821	#401	—	43	1	no	—
822	#400	—	43	1	no	—
823	#400	—	43	1	no	—
824	#399	—	43	1	no	—
825	#399	—	43	1	no	—
826	#399	—	43	1	no	—
827	#399	—	43	1	no	—
828	#399	—	43	1	no	—
829	#399	C₂×D₄₃	1	1	yes	characteristic, complemented
830	#398	—	43	1	no	—
831	#398	—	43	1	no	—
832	#397	—	43	1	no	—
833	#397	—	43	1	no	—
834	#397	—	43	1	no	—
835	#397	—	43	1	no	—
836	#397	—	43	1	no	—
837	#397	—	43	1	no	—
838	#397	—	43	1	no	—
839	#397	—	43	1	no	—
840	#397	—	43	1	no	—
841	#397	C₂×D₄₃	1	1	yes	characteristic, complemented
842	#396	—	43	1	no	—
843	#396	—	43	1	no	—
844	#396	—	43	1	no	—
845	#396	—	43	1	no	—
846	#396	—	43	1	no	—
847	#396	—	43	1	no	—
848	#395	—	43	1	no	—
849	#395	—	43	1	no	—
850	#394	—	43	1	no	—
851	#394	—	43	1	no	—
852	#394	—	43	1	no	—
853	#394	—	43	1	no	—
854	#394	—	43	1	no	—
855	#394	—	43	1	no	—
856	#394	—	43	1	no	—
857	#394	—	43	1	no	—
858	#394	—	43	1	no	—
859	#394	—	43	1	no	—
860	#394	C₂×D₄₃	1	1	yes	characteristic
861	#394	C₂×D₄₃	1	1	yes	characteristic
862	#393	—	43	1	no	—
863	#393	—	43	1	no	—
864	#393	—	43	1	no	—
865	#393	C₂×D₄₃	1	1	yes	characteristic
866	#392	—	43	1	no	—
867	#392	C₂×D₄₃	1	1	yes	characteristic
868	#391	—	43	1	no	—
869	#391	—	43	1	no	—
870	#391	—	43	1	no	—
871	#391	—	43	1	no	—
872	#391	C₂×D₄₃	1	1	yes	characteristic, complemented
873	#390	—	43	1	no	—
874	#390	—	43	1	no	—
875	#390	C₂×D₄₃	1	1	yes	characteristic
876	#389	—	43	1	no	—
877	#389	—	43	1	no	—
878	#389	—	43	1	no	—
879	#389	—	43	1	no	—
880	#389	—	43	1	no	—
881	#389	—	43	1	no	—
882	#389	—	43	1	no	—
883	#389	C₂×D₄₃	1	1	yes	characteristic, complemented
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	—	43	1	no	—
890	#388	—	43	1	no	—
891	#388	—	43	1	no	—
892	#388	—	43	1	no	—
893	#388	—	43	1	no	—
894	#388	—	43	1	no	—
895	#388	—	43	1	no	—
896	#388	—	43	1	no	—
897	#388	—	43	1	no	—
898	#388	—	43	1	no	—
899	#388	—	43	1	no	—
900	#388	—	43	1	no	—
901	#388	—	43	1	no	—
902	#388	—	43	1	no	—
903	#388	—	43	1	no	—
904	#388	—	43	1	no	—
905	#388	—	43	1	no	—
906	#388	—	43	1	no	—
907	#388	—	43	1	no	—
908	#388	C₂×D₄₃	1	1	yes	characteristic
909	#388	C₂×D₄₃	1	1	yes	characteristic, complemented
910	#387	—	43	1	no	—
911	#387	—	43	1	no	—
912	#387	—	43	1	no	—
913	#387	—	43	1	no	—
914	#387	—	43	1	no	—
915	#387	—	43	1	no	—
916	#387	—	43	1	no	—
917	#387	—	43	1	no	—
918	#387	—	43	1	no	—
919	#387	—	43	1	no	—
920	#386	—	43	1	no	—
921	#386	—	43	1	no	—
922	#386	—	43	1	no	—
923	#386	—	43	1	no	—
924	#386	—	43	1	no	—
925	#386	—	43	1	no	—
926	#386	—	43	1	no	—
927	#386	—	43	1	no	—
928	#386	—	43	1	no	—
929	#386	—	43	1	no	—
930	#386	—	43	1	no	—
931	#386	C₂×D₄₃	1	1	yes	characteristic, complemented
932	#385	—	43	1	no	—
933	#385	—	43	1	no	—
934	#385	—	43	1	no	—
935	#385	—	43	1	no	—
936	#385	—	43	1	no	—
937	#385	—	43	1	no	—
938	#385	—	43	1	no	—
939	#385	C₂×D₄₃	1	1	yes	characteristic, complemented
940	#384	—	43	1	no	—
941	#383	—	43	1	no	—
942	#383	—	43	1	no	—
943	#382	—	43	1	no	—
944	#380	—	43	1	no	—
945	#380	—	43	1	no	—
946	#380	—	43	1	no	—
947	#380	—	43	1	no	—
948	#379	—	43	1	no	—
949	#379	—	43	1	no	—
950	C₄×C₂²⋊C₄	—	43	1	no	—
951	C₄×C₂²⋊C₄	—	43	1	no	—
952	C₂×#95	—	43	1	no	—
953	C₂×#95	—	43	1	no	—
954	C₄₃	#36766	1	1	yes	characteristic, complemented, Sylow
955	C₂⁵	—	43	1	no	—
956	C₂²×Q₈	—	43	1	no	—
957	C₂²×Q₈	—	43	1	no	—
958	C₂²×Q₈	C₂²×D₄₃	1	1	yes	characteristic
959	C₂²×D₄	—	43	1	no	—
960	C₂²×D₄	—	43	1	no	—
961	C₂²×D₄	—	43	1	no	—
962	C₂²×D₄	—	43	1	no	—
963	C₂²×D₄	C₂²×D₄₃	1	1	yes	characteristic
964	C₂²×D₄	C₂²×D₄₃	1	1	yes	characteristic
965	C₂²×D₄	C₂²×D₄₃	1	1	yes	characteristic
966	C₂³×C₄	—	43	1	no	—
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	C₂²×D₄₃	1	1	yes	characteristic
974	C₄⋊Q₈	—	172	2	no	—
975	#124	—	4	2	no	—
976	#124	—	172	2	no	—
977	#124	—	172	2	no	—
978	#123	—	4	2	no	—
979	#123	—	172	2	no	—
980	C₂²⋊Q₈	—	86	4	no	—
981	C₂²⋊Q₈	—	172	2	no	—
982	C₂²⋊Q₈	—	172	2	no	—
983	C₂²⋊Q₈	—	172	2	no	—
984	C₂²⋊Q₈	—	172	2	no	—
985	#121	—	86	4	no	—
986	#120	—	172	2	no	—
987	#120	—	172	2	no	—
988	C₄×D₄	—	172	2	no	—
989	C₄×D₄	—	172	2	no	—
990	C₂×C₄⋊C₄	—	43	1	no	—
991	C₂×C₄⋊C₄	—	43	1	no	—
992	C₂×C₄⋊C₄	—	43	1	no	—
993	C₂×C₄⋊C₄	—	43	1	no	—
994	C₂×C₄⋊C₄	—	43	1	no	—
995	C₂×C₄⋊C₄	—	43	1	no	—
996	C₂×C₄⋊C₄	—	43	1	no	—
997	C₂×C₄⋊C₄	—	43	1	no	—
998	C₂×C₄⋊C₄	—	43	1	no	—
999	C₂×C₄⋊C₄	—	43	1	no	—
1000	C₂×C₄⋊C₄	—	43	1	no	—
1001	C₂×C₄⋊C₄	—	43	1	no	—
1002	C₂×C₄⋊C₄	—	43	1	no	—
1003	C₂×C₄⋊C₄	—	43	1	no	—
1004	C₂×C₄⋊C₄	—	43	1	no	—
1005	C₂×C₄⋊C₄	—	43	1	no	—
1006	C₂×C₄⋊C₄	—	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	—	172	2	no	—
1017	C₂×C₄⋊C₄	C₂²×D₄₃	1	1	yes	characteristic
1018	C₂×C₄⋊C₄	C₂²×D₄₃	1	1	yes	characteristic
1019	C₂×C₄⋊C₄	C₂²×D₄₃	1	1	yes	characteristic
1020	C₂×C₄⋊C₄	C₂²×D₄₃	1	1	yes	characteristic
1021	C₂×C₄⋊C₄	C₂²×D₄₃	1	1	yes	characteristic
1022	C₂×C₄⋊C₄	C₂²×D₄₃	1	1	yes	characteristic
1023	C₂×C₂²⋊C₄	—	43	1	no	—
1024	C₂×C₂²⋊C₄	—	43	1	no	—
1025	C₂×C₂²⋊C₄	—	43	1	no	—
1026	C₂×C₂²⋊C₄	—	43	1	no	—
1027	C₂×C₂²⋊C₄	—	43	1	no	—
1028	C₂×C₂²⋊C₄	—	43	1	no	—
1029	C₂×C₂²⋊C₄	—	43	1	no	—
1030	C₂×C₂²⋊C₄	—	43	1	no	—
1031	C₂×C₂²⋊C₄	—	43	1	no	—
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	—	86	4	no	—
1060	C₂×C₂²⋊C₄	—	172	2	no	—
1061	C₂×C₂²⋊C₄	—	172	2	no	—
1062	C₂×C₂²⋊C₄	C₂²×D₄₃	1	1	yes	characteristic
1063	C₂×C₂²⋊C₄	C₂²×D₄₃	1	1	yes	characteristic
1064	C₂×C₂²⋊C₄	C₂²×D₄₃	1	1	yes	characteristic
1065	C₂×C₂²⋊C₄	C₂²×D₄₃	1	1	yes	characteristic
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×C₄²	—	43	1	no	—
1077	C₂×C₄²	—	43	1	no	—
1078	C₂×C₄²	—	43	1	no	—
1079	C₂×C₄²	—	43	1	no	—
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	—	172	2	no	—
1085	C₂×C₄²	C₂²×D₄₃	1	1	yes	characteristic
1086	C₂×C₄²	C₂²×D₄₃	1	1	yes	characteristic
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	C₂²×D₄₃	1	1	yes	characteristic
1124	#95	C₂²×D₄₃	1	1	yes	characteristic
1125	#95	C₂²×D₄₃	1	1	yes	characteristic
1126	#95	C₂²×D₄₃	1	1	yes	characteristic
1127	#95	C₂²×D₄₃	1	1	yes	characteristic
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	C₂⁴	—	43	1	no	—
1132	C₂⁴	—	43	1	no	—
1133	C₂⁴	—	86	2	no	—
1134	C₂⁴	—	86	2	no	—
1135	C₂⁴	—	86	2	no	—
1136	C₂⁴	—	172	1	no	—
1137	C₂⁴	—	172	1	no	—
1138	C₂⁴	—	172	1	no	—
1139	C₂⁴	—	172	1	no	—
1140	C₂⁴	C₂³×D₄₃	1	1	yes	characteristic
1141	C₂⁴	C₂³×D₄₃	1	1	yes	characteristic
1142	C₂⁴	C₂³×D₄₃	1	1	yes	characteristic
1143	C₂×Q₈	—	2	2	no	—
1144	C₂×Q₈	—	4	1	no	—
1145	C₂×Q₈	—	4	1	no	—
1146	C₂×Q₈	—	86	2	no	—
1147	C₂×Q₈	—	86	2	no	—
1148	C₂×Q₈	—	172	1	no	—
1149	C₂×Q₈	—	172	1	no	—
1150	C₂×Q₈	—	172	1	no	—
1151	C₂×Q₈	—	172	1	no	—
1152	C₂×D₄	—	2	2	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	—	4	1	no	—
1159	C₂×D₄	—	4	1	no	—
1160	C₂×D₄	—	4	1	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	—	86	2	no	—
1167	C₂×D₄	—	172	1	no	—
1168	C₂×D₄	—	172	1	no	—
1169	C₂×D₄	—	172	1	no	—
1170	C₂×D₄	—	172	1	no	—
1171	C₂×D₄	—	172	1	no	—
1172	C₂×D₄	—	172	1	no	—
1173	C₂²×C₄	—	4	1	no	—
1174	C₂²×C₄	—	4	1	no	—
1175	C₂²×C₄	—	4	1	no	—
1176	C₂²×C₄	—	43	1	no	—
1177	C₂²×C₄	—	43	1	no	—
1178	C₂²×C₄	—	43	4	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	—	43	1	no	—
1188	C₂²×C₄	—	43	1	no	—
1189	C₂²×C₄	—	43	1	no	—
1190	C₂²×C₄	—	43	1	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	—	172	1	no	—
1199	C₂²×C₄	—	172	1	no	—
1200	C₂²×C₄	—	172	1	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	C₂³×D₄₃	1	1	yes	characteristic
1212	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
1213	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
1214	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
1215	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
1216	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
1217	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
1218	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
1219	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
1220	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
1221	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
1222	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
1223	C₄⋊C₄	—	2	2	no	—
1224	C₄⋊C₄	—	4	1	no	—
1225	C₄⋊C₄	—	4	1	no	—
1226	C₄⋊C₄	—	4	1	no	—
1227	C₄⋊C₄	—	4	1	no	—
1228	C₄⋊C₄	—	4	1	no	—
1229	C₄⋊C₄	—	86	2	no	—
1230	C₄⋊C₄	—	86	2	no	—
1231	C₄⋊C₄	—	86	2	no	—
1232	C₄⋊C₄	—	86	2	no	—
1233	C₄⋊C₄	—	86	2	no	—
1234	C₄⋊C₄	—	86	2	no	—
1235	C₄⋊C₄	—	86	2	no	—
1236	C₄⋊C₄	—	172	1	no	—
1237	C₄⋊C₄	—	172	1	no	—
1238	C₄⋊C₄	—	172	1	no	—
1239	C₄⋊C₄	—	172	1	no	—
1240	C₄⋊C₄	—	172	1	no	—
1241	C₄⋊C₄	—	172	1	no	—
1242	C₄⋊C₄	—	172	1	no	—
1243	C₄⋊C₄	—	172	1	no	—
1244	C₄⋊C₄	—	172	1	no	—
1245	C₄⋊C₄	—	172	1	no	—
1246	C₄⋊C₄	—	172	1	no	—
1247	C₄⋊C₄	—	172	1	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	C₂²⋊C₄	—	2	2	no	—
1256	C₂²⋊C₄	—	2	2	no	—
1257	C₂²⋊C₄	—	2	2	no	—
1258	C₂²⋊C₄	—	2	2	no	—
1259	C₂²⋊C₄	—	4	1	no	—
1260	C₂²⋊C₄	—	4	1	no	—
1261	C₂²⋊C₄	—	4	1	no	—
1262	C₂²⋊C₄	—	4	1	no	—
1263	C₂²⋊C₄	—	4	1	no	—
1264	C₂²⋊C₄	—	4	1	no	—
1265	C₂²⋊C₄	—	4	1	no	—
1266	C₂²⋊C₄	—	4	1	no	—
1267	C₂²⋊C₄	—	4	1	no	—
1268	C₂²⋊C₄	—	4	1	no	—
1269	C₂²⋊C₄	—	86	2	no	—
1270	C₂²⋊C₄	—	86	2	no	—
1271	C₂²⋊C₄	—	86	2	no	—
1272	C₂²⋊C₄	—	86	2	no	—
1273	C₂²⋊C₄	—	86	2	no	—
1274	C₂²⋊C₄	—	86	2	no	—
1275	C₂²⋊C₄	—	86	2	no	—
1276	C₂²⋊C₄	—	86	2	no	—
1277	C₂²⋊C₄	—	86	2	no	—
1278	C₂²⋊C₄	—	86	2	no	—
1279	C₂²⋊C₄	—	86	2	no	—
1280	C₂²⋊C₄	—	86	2	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	—	172	1	no	—
1286	C₂²⋊C₄	—	172	1	no	—
1287	C₂²⋊C₄	—	172	1	no	—
1288	C₂²⋊C₄	—	172	1	no	—
1289	C₂²⋊C₄	—	172	1	no	—
1290	C₂²⋊C₄	—	172	1	no	—
1291	C₂²⋊C₄	—	172	1	no	—
1292	C₂²⋊C₄	—	172	1	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	C₄²	—	2	2	no	—
1306	C₄²	—	4	1	no	—
1307	C₄²	—	86	2	no	—
1308	C₄²	—	172	1	no	—
1309	C₄²	—	172	1	no	—
1310	C₄²	—	172	1	no	—
1311	C₄²	—	172	1	no	—
1312	C₄²	—	172	1	no	—
1313	C₄²	—	172	1	no	—
1314	C₄²	—	172	1	no	—
1315	C₂³	—	2	1	no	—
1316	C₂³	—	2	1	no	—
1317	C₂³	—	2	1	no	—
1318	C₂³	—	2	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	—	43	2	no	—
1337	C₂³	—	43	2	no	—
1338	C₂³	—	43	2	no	—
1339	C₂³	—	86	1	no	—
1340	C₂³	—	86	1	no	—
1341	C₂³	—	86	1	no	—
1342	C₂³	—	86	1	no	—
1343	C₂³	—	86	1	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	—	344	2	no	—
1351	C₂³	—	344	2	no	—
1352	C₂³	—	344	2	no	—
1353	C₂³	—	344	2	no	—
1354	C₂³	—	172	4	no	—
1355	C₂³	—	172	4	no	—
1356	C₂³	—	172	4	no	—
1357	C₂³	C₂⁴×D₄₃	1	1	yes	characteristic
1358	Q₈	—	8	2	no	—
1359	Q₈	—	344	2	no	—
1360	Q₈	—	344	2	no	—
1361	D₄	—	8	2	no	—
1362	D₄	—	8	2	no	—
1363	D₄	—	8	2	no	—
1364	D₄	—	344	2	no	—
1365	D₄	—	344	2	no	—
1366	D₄	—	172	4	no	—
1367	D₄	—	172	4	no	—
1368	C₂×C₄	—	2	1	no	—
1369	C₂×C₄	—	2	1	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	—	8	2	no	—
1403	C₂×C₄	—	43	2	no	—
1404	C₂×C₄	—	43	2	no	—
1405	C₂×C₄	—	86	1	no	—
1406	C₂×C₄	—	86	1	no	—
1407	C₂×C₄	—	86	1	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	—	344	2	no	—
1446	C₂×C₄	—	344	2	no	—
1447	C₂×C₄	—	344	2	no	—
1448	C₂×C₄	—	172	4	no	—
1449	C₂×C₄	—	172	4	no	—
1450	C₂×C₄	—	172	4	no	—
1451	C₂×C₄	—	172	4	no	—
1452	C₂×C₄	#41×D₄₃	1	2	yes	—
1453	C₂×C₄	#13063370	1	2	yes	—
1454	C₂²	—	4	1	no	—
1455	C₂²	—	4	1	no	—
1456	C₂²	—	4	1	no	—
1457	C₂²	—	4	1	no	—
1458	C₂²	—	4	1	no	—
1459	C₂²	—	4	1	no	—
1460	C₂²	—	4	1	no	—
1461	C₂²	—	4	1	no	—
1462	C₂²	—	4	1	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	—	43	4	no	—
1476	C₂²	—	86	2	no	—
1477	C₂²	—	86	2	no	—
1478	C₂²	—	86	2	no	—
1479	C₂²	—	86	2	no	—
1480	C₂²	—	86	2	no	—
1481	C₂²	—	86	2	no	—
1482	C₂²	—	344	8	no	—
1483	C₂²	—	172	1	no	—
1484	C₂²	—	172	1	no	—
1485	C₂²	—	172	1	no	—
1486	C₂²	—	172	1	no	—
1487	C₂²	—	172	1	no	—
1488	C₂²	—	172	1	no	—
1489	C₂²	—	172	1	no	—
1490	C₂²	C₂×#41×D₄₃	1	1	yes	characteristic
1491	C₂²	H(5,𝔽₂)×D₄₃	1	1	yes	characteristic
1492	C₂²	H(5,𝔽₂)×D₄₃	1	1	yes	characteristic
1493	C₂²	C₂×#13063370	1	1	yes	characteristic
1494	C₂²	2₋¹⁺⁴×D₄₃	1	1	yes	characteristic
1495	C₂²	#14583734	1	1	yes	characteristic
1496	C₂²	#14583735	1	1	yes	characteristic
1497	C₄	—	2	2	no	—
1498	C₄	—	2	2	no	—
1499	C₄	—	4	1	no	—
1500	C₄	—	4	1	no	—
1501	C₄	—	4	1	no	—
1502	C₄	—	4	1	no	—
1503	C₄	—	4	1	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	—	86	2	no	—
1510	C₄	—	86	2	no	—
1511	C₄	—	172	1	no	—
1512	C₄	—	172	1	no	—
1513	C₄	—	172	1	no	—
1514	C₄	—	172	1	no	—
1515	C₄	—	172	1	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	C₂	—	8	1	no	—
1524	C₂	—	8	1	no	—
1525	C₂	—	8	1	no	—
1526	C₂	—	86	4	no	—
1527	C₂	—	344	1	no	—
1528	C₂	#542×D₄₃	1	1	yes	characteristic
1529	C₂	#19148422	1	1	yes	characteristic
1530	C₂	#19148443	1	1	yes	characteristic
1531	C₂	#19148796	1	1	yes	characteristic
1532	C₂	#19148828	1	1	yes	characteristic
1533	C₂	#19149136	1	1	yes	characteristic
1534	C₂	#19149157	1	1	yes	characteristic

	subgroup	G/H
center, Frattini	C₂³	C₂⁴×D₄₃
commutator, socle, cosocle	C₂³×C₄₃	C₂⁵
Fitting	C₄₃×#2710	C₂
prime radical	#19140328	C₂
hypercenter	#2710	D₄₃
hypocenter	C₄₃	#36766
LCS	G ▷ C₂³×C₄₃ ▷ C₄₃
UCS	C₁ ◁ C₂³ ◁ #2710

Complements

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

N	H ≅ G/N	type
1. #19142946	C₂	semidirect
2. #19142891	C₂	semidirect
3. #19142503	C₂	semidirect
4. #19142499	C₂	semidirect
5. #19142428	C₂	semidirect
6. #19142422	C₂	semidirect
7. #19142142	C₂	semidirect
8. #19142138	C₂	semidirect
9. #19141964	C₂	semidirect
10. #19141962	C₂	semidirect
11. #19141935	C₂	semidirect
12. #19141932	C₂	semidirect
13. #19141594	C₂	semidirect
14. #19141593	C₂	semidirect
15. #19141331	C₂	semidirect
16. #19140882	C₂	semidirect
17. #19140876	C₂	semidirect
18. #19140399	C₂	semidirect
20. #19139160	C₂	semidirect
21. #19139148	C₂	semidirect
22. #19138727	C₂	semidirect
23. #19138716	C₂	semidirect
24. #19138407	C₂	semidirect
25. #19138403	C₂	semidirect
26. #19138054	C₂	semidirect
27. #19138052	C₂	semidirect
28. #19137327	C₂	semidirect
29. #19137297	C₂	semidirect
30. #388×D₄₃	C₂	semidirect
31. C₄₃×#2710	C₂	semidirect
32. C₂×#13063324	C₂²	semidirect
36. C₂×#13063304	C₂²	semidirect
39. C₂×#13063302	C₂²	semidirect
51. C₄₃⋊#401	C₂²	semidirect
52. C₄₃⋊#401	C₂²	semidirect
53. #14582841	C₂²	semidirect
54. #14582838	C₂²	semidirect
58. #14582835	C₂²	semidirect
60. #14582832	C₂²	semidirect
61. #14582830	C₂²	semidirect
65. #14582827	C₂²	semidirect
69. #14582824	C₂²	semidirect
70. #14582824	C₂²	semidirect
75. #14582822	C₂²	semidirect
76. #14582822	C₂²	semidirect
77. #14582820	C₂²	semidirect
78. #14582819	C₂²	semidirect
93. #14582806	C₂²	semidirect
94. #14582806	C₂²	semidirect
95. #14582803	C₂²	semidirect
96. #14582803	C₂²	semidirect
97. #14582802	C₂²	semidirect
99. #14582797	C₂²	semidirect
100. #14582796	C₂²	semidirect
101. #14582795	C₂²	semidirect
102. #14582794	C₂²	semidirect
103. #14582794	C₂²	semidirect
104. #14582794	C₂²	semidirect
105. #14582794	C₂²	semidirect
107. #14582793	C₂²	semidirect
111. #14582792	C₂²	semidirect
112. #14582792	C₂²	semidirect
124. #14582787	C₂²	semidirect
125. #14582787	C₂²	semidirect
126. #14582787	C₂²	semidirect
127. #14582787	C₂²	semidirect
128. #14582787	C₂²	semidirect
129. #14582787	C₂²	semidirect
130. #14582785	C₂²	semidirect
131. #14582784	C₂²	semidirect
132. #14582784	C₂²	semidirect
133. #14582784	C₂²	semidirect
134. #14582783	C₂²	semidirect
135. #14582782	C₂²	semidirect
136. #14582782	C₂²	semidirect
137. #14582782	C₂²	semidirect
138. #14582781	C₂²	semidirect
139. #14582781	C₂²	semidirect
141. #14582779	C₂²	semidirect
154. #14582772	C₂²	semidirect
155. #14582771	C₂²	semidirect
156. #14582771	C₂²	semidirect
158. #14582768	C₂²	semidirect
159. #14582767	C₂²	semidirect
160. #14582766	C₂²	semidirect
161. #14582765	C₂²	semidirect
172. C₂×#124×C₄₃	C₂²	semidirect
174. C₄₃×#399	C₂²	semidirect
175. C₄₃×#397	C₂²	semidirect
180. C₄₃×#391	C₂²	semidirect
182. C₄₃×#389	C₂²	semidirect
184. C₄₃×#388	C₂²	semidirect
185. C₄₃×#386	C₂²	semidirect
186. C₄₃×#385	C₂²	semidirect
771. #2710	D₄₃	semidirect
802. C₂×#124	C₂×D₄₃	semidirect
829. #399	C₂×D₄₃	semidirect
841. #397	C₂×D₄₃	semidirect
872. #391	C₂×D₄₃	semidirect
883. #389	C₂×D₄₃	semidirect
909. #388	C₂×D₄₃	semidirect
931. #386	C₂×D₄₃	semidirect
939. #385	C₂×D₄₃	semidirect
954. C₄₃	#36766	semidirect

Maximal subgroups

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

subgroup	index
#19142946	2
#19142891	2
#19142503	2
#19142499	2
#19142428	2
#19142422	2
#19142142	2
#19142138	2
#19141964	2
#19141962	2
#19141935	2
#19141932	2
#19141594	2
#19141593	2
#19141331	2
#19140882	2
#19140876	2
#19140399	2
#19140328	2
#19139160	2
#19139148	2
#19138727	2
#19138716	2
#19138407	2
#19138403	2
#19138054	2
#19138052	2
#19137327	2
#19137297	2
#388×D₄₃	2
C₄₃×#2710	2
#36766	43