Subgroups — #25304044

Order 11008.

2038 conjugacy classes of subgroups.

The subgroup lattice has 1482 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×#14583528	C₂	1	1	yes	maximal, characteristic, complemented
2	C₂×#14583491	C₂	1	1	yes	maximal, characteristic
3	#19142945	C₂	1	1	yes	maximal, characteristic, complemented
4	#19142892	C₂	1	1	yes	maximal, characteristic
5	#19141494	C₂	1	1	yes	maximal, characteristic, complemented
6	#19141492	C₂	1	1	yes	maximal, characteristic, complemented
7	#19141464	C₂	1	1	yes	maximal, characteristic, complemented
8	#19141462	C₂	1	1	yes	maximal, characteristic, complemented
9	#19141425	C₂	1	1	yes	maximal, characteristic, complemented
10	#19141423	C₂	1	1	yes	maximal, characteristic, complemented
11	#19141380	C₂	1	1	yes	maximal, characteristic, complemented
12	#19141378	C₂	1	1	yes	maximal, characteristic, complemented
13	#19141119	C₂	1	1	yes	maximal, characteristic, complemented
14	#19141117	C₂	1	1	yes	maximal, characteristic, complemented
15	#19141065	C₂	1	1	yes	maximal, characteristic, complemented
16	#19141063	C₂	1	1	yes	maximal, characteristic, complemented
17	#19140910	C₂	1	1	yes	maximal, characteristic, complemented
18	#19140909	C₂	1	1	yes	maximal, characteristic, complemented
19	#19140880	C₂	1	1	yes	maximal, characteristic, complemented
20	#19140875	C₂	1	1	yes	maximal, characteristic, complemented
21	#19140712	C₂	1	1	yes	maximal, characteristic, complemented
22	#19140525	C₂	1	1	yes	maximal, characteristic
23	#19139775	C₂	1	1	yes	maximal, characteristic, complemented
24	#19139037	C₂	1	1	yes	maximal, characteristic, complemented
25	#19139037	C₂	1	1	yes	maximal, characteristic, complemented
26	#19139035	C₂	1	1	yes	maximal, characteristic, complemented
27	#19139035	C₂	1	1	yes	maximal, characteristic, complemented
28	#19138047	C₂	1	1	yes	maximal, characteristic, complemented
29	#19138046	C₂	1	1	yes	maximal, characteristic, complemented
30	C₂×#14582786	C₂	1	1	yes	maximal, characteristic, complemented
31	C₄₃×#2564	C₂	1	1	yes	maximal, characteristic, complemented
32	#14583528	—	2	8	no	—
33	#14583491	—	2	8	no	—
34	C₂×#13063324	C₂²	1	1	yes	characteristic
35	C₂×#13063324	C₂²	1	1	yes	characteristic
36	C₂×#13063324	C₂²	1	1	yes	characteristic
37	C₂×#13063323	C₂²	1	1	yes	characteristic
38	C₂×#13063323	C₂²	1	1	yes	characteristic
39	C₂×#13063319	C₂²	1	1	yes	characteristic
40	C₂×#13063318	C₂²	1	1	yes	characteristic
41	C₂×#13063317	C₂²	1	1	yes	characteristic
42	C₂×#13063315	C₂²	1	1	yes	characteristic
43	C₂×#13063315	C₂²	1	1	yes	characteristic
44	C₂×#13063315	C₂²	1	1	yes	characteristic
45	C₂×#13063315	C₂²	1	1	yes	characteristic
46	C₂×#13063315	C₂²	1	1	yes	characteristic
47	C₂×#13063311	C₂²	1	1	yes	characteristic
48	C₂×#13063309	C₂²	1	1	yes	characteristic
49	C₂×#13063308	C₂²	1	1	yes	characteristic
50	C₂×#13063307	C₂²	1	1	yes	characteristic
51	C₂×#13063306	C₂²	1	1	yes	characteristic
52	C₂×#13063304	C₂²	1	1	yes	characteristic
53	C₂×#13063304	C₂²	1	1	yes	characteristic
54	C₂×#13063304	C₂²	1	1	yes	characteristic
55	C₂×#13063303	C₂²	1	1	yes	characteristic
56	C₂×#13063302	C₂²	1	1	yes	characteristic
57	C₂×#13063302	C₂²	1	1	yes	characteristic
58	C₂×#13063302	C₂²	1	1	yes	characteristic
59	C₂×#13063301	C₂²	1	1	yes	characteristic
60	C₂×#13063297	C₂²	1	1	yes	characteristic
61	C₂×C₄×C₂²⋊D₄₃	C₂²	1	1	yes	characteristic
62	C₂×#13063281	C₂²	1	1	yes	characteristic
63	C₂×#13063281	C₂²	1	1	yes	characteristic
64	C₂²×C₄⋊Dic₄₃	C₂²	1	1	yes	characteristic
65	C₂²×Dic₄₃⋊C₄	C₂²	1	1	yes	characteristic
66	C₂²×C₄×Dic₄₃	C₂²	1	1	yes	characteristic
67	#14582841	C₂²	1	1	yes	characteristic
68	#14582841	C₂²	1	1	yes	characteristic
69	#14582841	C₂²	1	1	yes	characteristic
70	#14582840	C₂²	1	1	yes	characteristic
71	#14582840	C₂²	1	1	yes	characteristic
72	#14582840	C₂²	1	1	yes	characteristic
73	#14582839	C₂²	1	1	yes	characteristic
74	#14582836	C₂²	1	1	yes	characteristic
75	#14582835	C₂²	1	1	yes	characteristic
76	#14582835	C₂²	1	1	yes	characteristic
77	#14582834	C₂²	1	1	yes	characteristic
78	#14582834	C₂²	1	1	yes	characteristic
79	#14582833	C₂²	1	1	yes	characteristic
80	#14582833	C₂²	1	1	yes	characteristic
81	#14582833	C₂²	1	1	yes	characteristic
82	#14582833	C₂²	1	1	yes	characteristic
83	#14582832	C₂²	1	1	yes	characteristic
84	#14582832	C₂²	1	1	yes	characteristic
85	#14582832	C₂²	1	1	yes	characteristic
86	#14582832	C₂²	1	1	yes	characteristic
87	#14582832	C₂²	1	1	yes	characteristic
88	#14582832	C₂²	1	1	yes	characteristic
89	#14582832	C₂²	1	1	yes	characteristic
90	#14582832	C₂²	1	1	yes	characteristic
91	#14582828	C₂²	1	1	yes	characteristic
92	#14582828	C₂²	1	1	yes	characteristic
93	#14582828	C₂²	1	1	yes	characteristic
94	#14582827	C₂²	1	1	yes	characteristic
95	#14582827	C₂²	1	1	yes	characteristic
96	#14582827	C₂²	1	1	yes	characteristic
97	#14582822	C₂²	1	1	yes	characteristic
98	#14582822	C₂²	1	1	yes	characteristic
99	#14582821	C₂²	1	1	yes	characteristic
100	#14582821	C₂²	1	1	yes	characteristic
101	#14582820	C₂²	1	1	yes	characteristic
102	#14582820	C₂²	1	1	yes	characteristic
103	#14582820	C₂²	1	1	yes	characteristic
104	#14582819	C₂²	1	1	yes	characteristic
105	#14582819	C₂²	1	1	yes	characteristic
106	#14582815	C₂²	1	1	yes	characteristic
107	#14582814	C₂²	1	1	yes	characteristic
108	#14582812	C₂²	1	1	yes	characteristic
109	#14582812	C₂²	1	1	yes	characteristic
110	#14582811	C₂²	1	1	yes	characteristic
111	#14582806	C₂²	1	1	yes	characteristic
112	#14582805	C₂²	1	1	yes	characteristic
113	#14582803	C₂²	1	1	yes	characteristic
114	#14582803	C₂²	1	1	yes	characteristic
115	#14582803	C₂²	1	1	yes	characteristic
116	#14582799	C₂²	1	1	yes	characteristic
117	#14582798	C₂²	1	1	yes	characteristic
118	#14582797	C₂²	1	1	yes	characteristic
119	#14582796	C₂²	1	1	yes	characteristic
120	#14582796	C₂²	1	1	yes	characteristic
121	#14582795	C₂²	1	1	yes	characteristic
122	#14582795	C₂²	1	1	yes	characteristic
123	#14582793	C₂²	1	1	yes	characteristic
124	#14582793	C₂²	1	1	yes	characteristic
125	#14582792	C₂²	1	1	yes	characteristic
126	#14582792	C₂²	1	1	yes	characteristic
127	#14582792	C₂²	1	1	yes	characteristic
128	#14582791	C₂²	1	1	yes	characteristic
129	#14582789	C₂²	1	1	yes	characteristic
130	#14582789	C₂²	1	1	yes	characteristic
131	#14582788	C₂²	1	1	yes	characteristic
132	#14582788	C₂²	1	1	yes	characteristic
133	#14582788	C₂²	1	1	yes	characteristic
134	#14582787	C₂²	1	1	yes	characteristic
135	#14582786	C₂²	1	1	yes	characteristic
136	#14582786	C₂²	1	1	yes	characteristic
137	#14582786	C₂²	1	1	yes	characteristic
138	#14582786	C₂²	1	1	yes	characteristic
139	#14582786	C₂²	1	1	yes	characteristic
140	#14582786	C₂²	1	1	yes	characteristic
141	#14582786	C₂²	1	1	yes	characteristic
142	#14582786	C₂²	1	1	yes	characteristic
143	#14582786	C₂²	1	1	yes	characteristic
144	#14582786	C₂²	1	1	yes	characteristic
145	#14582785	C₂²	1	1	yes	characteristic
146	#14582785	C₂²	1	1	yes	characteristic
147	#14582784	C₂²	1	1	yes	characteristic
148	#14582784	C₂²	1	1	yes	characteristic
149	#14582782	C₂²	1	1	yes	characteristic
150	#14582782	C₂²	1	1	yes	characteristic
151	#14582781	C₂²	1	1	yes	characteristic
152	#14582781	C₂²	1	1	yes	characteristic
153	#14582779	C₂²	1	1	yes	characteristic
154	#14582779	C₂²	1	1	yes	characteristic
155	#14582778	C₂²	1	1	yes	characteristic
156	#14582778	C₂²	1	1	yes	characteristic
157	#14582776	C₂²	1	1	yes	characteristic
158	#14582776	C₂²	1	1	yes	characteristic
159	#14582773	C₂²	1	1	yes	characteristic
160	#14582773	C₂²	1	1	yes	characteristic
161	#14582768	C₂²	1	1	yes	characteristic
162	#14582763	C₂²	1	1	yes	characteristic
163	#14582759	C₂²	1	1	yes	characteristic
164	#14582759	C₂²	1	1	yes	characteristic
165	#14582759	C₂²	1	1	yes	characteristic
166	#14582757	C₂²	1	1	yes	characteristic
167	#14582757	C₂²	1	1	yes	characteristic
168	#14582757	C₂²	1	1	yes	characteristic
169	#14582757	C₂²	1	1	yes	characteristic
170	#14582756	C₂²	1	1	yes	characteristic
171	C₂×C₄₃⋊#95	C₂²	1	1	yes	characteristic
172	C₂×C₄₃⋊#95	C₂²	1	1	yes	characteristic
173	C₂×C₄₃⋊#95	C₂²	1	1	yes	characteristic
174	C₂×C₂²⋊Q₈×C₄₃	C₂²	1	1	yes	characteristic
175	C₂×C₄×D₄×C₄₃	C₂²	1	1	yes	characteristic
176	C₄₃×#400	C₂²	1	1	yes	characteristic
177	C₄₃×#399	C₂²	1	1	yes	characteristic
178	C₄₃×#395	C₂²	1	1	yes	characteristic
179	C₄₃×#393	C₂²	1	1	yes	characteristic
180	C₄₃×#387	C₂²	1	1	yes	characteristic
181	C₄₃×#387	C₂²	1	1	yes	characteristic
182	C₄₃×#386	C₂²	1	1	yes	characteristic
183	C₄₃×#386	C₂²	1	1	yes	characteristic
184	C₄₃×#385	C₂²	1	1	yes	characteristic
185	C₄₃×#385	C₂²	1	1	yes	characteristic
186	C₄₃×#380	C₂²	1	1	yes	characteristic
187	C₄₃×#380	C₂²	1	1	yes	characteristic
188	C₂×#95×C₄₃	C₂²	1	1	yes	characteristic
189	C₂²×Dic₈₆	C₂³	1	1	yes	characteristic
190	C₂²×Dic₈₆	C₂³	1	1	yes	characteristic
191	C₂²×Dic₈₆	C₂³	1	1	yes	characteristic
192	C₂²×Dic₈₆	C₂³	1	1	yes	characteristic
193	C₂²×C₂²⋊D₄₃	C₂³	1	1	yes	characteristic
194	C₂²×C₂²⋊D₄₃	C₂³	1	1	yes	characteristic
195	C₂³×Dic₄₃	C₂³	1	1	yes	characteristic
196	C₂³×Dic₄₃	C₂³	1	1	yes	characteristic
197	C₂³×Dic₄₃	C₂³	1	1	yes	characteristic
198	C₂³×Dic₄₃	C₂³	1	1	yes	characteristic
199	C₂²×C₄×D₄₃	C₂³	1	1	yes	characteristic
200	#13063324	—	2	4	no	—
201	#13063324	—	2	4	no	—
202	#13063324	—	4	2	no	—
203	#13063323	—	2	4	no	—
204	#13063323	—	2	4	no	—
205	#13063319	—	2	4	no	—
206	#13063318	—	2	4	no	—
207	#13063317	—	2	4	no	—
208	#13063315	—	2	4	no	—
209	#13063315	—	2	4	no	—
210	#13063315	—	2	4	no	—
211	#13063315	—	2	4	no	—
212	#13063315	—	2	4	no	—
213	#13063311	—	4	2	no	—
214	#13063309	—	2	4	no	—
215	#13063308	—	2	4	no	—
216	#13063307	—	2	4	no	—
217	#13063306	—	2	4	no	—
218	#13063304	—	2	4	no	—
219	#13063304	—	2	4	no	—
220	#13063304	—	4	2	no	—
221	#13063303	—	2	4	no	—
222	#13063302	—	2	4	no	—
223	#13063302	—	2	4	no	—
224	#13063302	—	2	4	no	—
225	#13063301	—	4	2	no	—
226	#13063297	—	2	4	no	—
227	C₄×C₂²⋊D₄₃	—	2	4	no	—
228	#13063281	—	2	4	no	—
229	#13063281	—	2	4	no	—
230	C₂×C₄⋊Dic₄₃	—	4	2	no	—
231	C₂×C₄⋊Dic₄₃	C₂³	1	1	yes	characteristic
232	C₂×C₄⋊Dic₄₃	C₂³	1	1	yes	characteristic
233	C₂×C₄⋊Dic₄₃	C₂³	1	1	yes	characteristic
234	C₂×C₄⋊Dic₄₃	C₂³	1	1	yes	characteristic
235	C₂×C₄⋊Dic₄₃	C₂³	1	1	yes	characteristic
236	C₂×C₄⋊Dic₄₃	C₂³	1	1	yes	characteristic
237	C₂×C₄⋊Dic₄₃	C₂³	1	1	yes	characteristic
238	C₂×C₄⋊Dic₄₃	C₂³	1	1	yes	characteristic
239	C₂×C₄⋊Dic₄₃	C₂³	1	1	yes	characteristic
240	C₂×C₄⋊Dic₄₃	C₂³	1	1	yes	characteristic
241	C₂×C₄⋊Dic₄₃	C₂³	1	1	yes	characteristic
242	C₂×C₄⋊Dic₄₃	C₂³	1	1	yes	characteristic
243	C₂×C₄⋊Dic₄₃	C₂³	1	1	yes	characteristic
244	C₂×C₄⋊Dic₄₃	C₂³	1	1	yes	characteristic
245	C₂×Dic₄₃⋊C₄	D₄	1	8	yes	—
246	C₂×Dic₄₃⋊C₄	C₂³	1	1	yes	characteristic
247	C₂×Dic₄₃⋊C₄	C₂³	1	1	yes	characteristic
248	C₂×Dic₄₃⋊C₄	C₂³	1	1	yes	characteristic
249	C₂×Dic₄₃⋊C₄	C₂³	1	1	yes	characteristic
250	C₂×Dic₄₃⋊C₄	C₂³	1	1	yes	characteristic
251	C₂×Dic₄₃⋊C₄	C₂³	1	1	yes	characteristic
252	C₂×Dic₄₃⋊C₄	C₂³	1	1	yes	characteristic
253	C₂×Dic₄₃⋊C₄	C₂³	1	1	yes	characteristic
254	C₂×Dic₄₃⋊C₄	C₂³	1	1	yes	characteristic
255	C₂×Dic₄₃⋊C₄	C₂³	1	1	yes	characteristic
256	C₂×Dic₄₃⋊C₄	C₂³	1	1	yes	characteristic
257	C₂×Dic₄₃⋊C₄	C₂³	1	1	yes	characteristic
258	C₂×Dic₄₃⋊C₄	C₂³	1	1	yes	characteristic
259	C₂×Dic₄₃⋊C₄	C₂³	1	1	yes	characteristic
260	C₂×Dic₄₃⋊C₄	C₂³	1	1	yes	characteristic
261	C₂×Dic₄₃⋊C₄	C₂³	1	1	yes	characteristic
262	C₂×Dic₄₃⋊C₄	C₂³	1	1	yes	characteristic
263	C₂×Dic₄₃⋊C₄	C₂³	1	1	yes	characteristic
264	C₂×Dic₄₃⋊C₄	C₂³	1	1	yes	characteristic
265	C₂×Dic₄₃⋊C₄	C₂³	1	1	yes	characteristic
266	C₂×Dic₄₃⋊C₄	C₂³	1	1	yes	characteristic
267	C₂×Dic₄₃⋊C₄	C₂³	1	1	yes	characteristic
268	C₂×Dic₄₃⋊C₄	C₂³	1	1	yes	characteristic
269	C₂×Dic₄₃⋊C₄	C₂³	1	1	yes	characteristic
270	C₂×Dic₄₃⋊C₄	C₂³	1	1	yes	characteristic
271	C₂×Dic₄₃⋊C₄	C₂³	1	1	yes	characteristic
272	C₂×Dic₄₃⋊C₄	C₂³	1	1	yes	characteristic
273	C₂×Dic₄₃⋊C₄	C₂³	1	1	yes	characteristic
274	C₂×C₂²⋊Dic₄₃	C₂³	1	1	yes	characteristic
275	C₂×C₂²⋊Dic₄₃	C₂³	1	1	yes	characteristic
276	C₂×C₂²⋊Dic₄₃	C₂³	1	1	yes	characteristic
277	C₂×C₂²⋊Dic₄₃	C₂³	1	1	yes	characteristic
278	C₂×C₂²⋊Dic₄₃	C₂³	1	1	yes	characteristic
279	C₂×C₂²⋊Dic₄₃	C₂³	1	1	yes	characteristic
280	C₂×C₂²⋊Dic₄₃	C₂³	1	1	yes	characteristic
281	C₂×C₂²⋊Dic₄₃	C₂³	1	1	yes	characteristic
282	C₂×C₂²⋊Dic₄₃	C₂³	1	1	yes	characteristic
283	C₂×C₂²⋊Dic₄₃	C₂³	1	1	yes	characteristic
284	C₂×(C₂×D₄₃)⋊C₄	C₂³	1	1	yes	characteristic
285	C₂×(C₂×D₄₃)⋊C₄	C₂³	1	1	yes	characteristic
286	C₂×(C₂×D₄₃)⋊C₄	C₂³	1	1	yes	characteristic
287	C₂×(C₂×D₄₃)⋊C₄	C₂³	1	1	yes	characteristic
288	C₂×(C₂×D₄₃)⋊C₄	C₂³	1	1	yes	characteristic
289	C₂×(C₂×D₄₃)⋊C₄	C₂³	1	1	yes	characteristic
290	C₂×(C₂×D₄₃)⋊C₄	C₂³	1	1	yes	characteristic
291	C₂×(C₂×D₄₃)⋊C₄	C₂³	1	1	yes	characteristic
292	C₂×(C₂×D₄₃)⋊C₄	C₂³	1	1	yes	characteristic
293	C₂×(C₂×D₄₃)⋊C₄	C₂³	1	1	yes	characteristic
294	C₂×(C₂×D₄₃)⋊C₄	C₂³	1	1	yes	characteristic
295	C₂×(C₂×D₄₃)⋊C₄	C₂³	1	1	yes	characteristic
296	C₂×C₄×Dic₄₃	—	4	2	no	—
297	C₂×C₄×Dic₄₃	C₂³	1	1	yes	characteristic
298	C₂×C₄×Dic₄₃	C₂³	1	1	yes	characteristic
299	C₂×C₄×Dic₄₃	C₂³	1	1	yes	characteristic
300	C₂×C₄×Dic₄₃	C₂³	1	1	yes	characteristic
301	C₂×C₄×Dic₄₃	C₂³	1	1	yes	characteristic
302	C₂×C₄×Dic₄₃	C₂³	1	1	yes	characteristic
303	C₂×C₄×Dic₄₃	C₂³	1	1	yes	characteristic
304	C₂×C₄×Dic₄₃	C₂³	1	1	yes	characteristic
305	C₂×C₄×Dic₄₃	C₂³	1	1	yes	characteristic
306	C₄₃⋊#95	C₂³	1	1	yes	characteristic
307	C₄₃⋊#95	C₂³	1	1	yes	characteristic
308	C₄₃⋊#95	C₂³	1	1	yes	characteristic
309	C₄₃⋊#95	C₂³	1	1	yes	characteristic
310	C₄₃⋊#95	C₂³	1	1	yes	characteristic
311	C₄₃⋊#95	C₂³	1	1	yes	characteristic
312	C₄₃⋊#95	C₂³	1	1	yes	characteristic
313	C₄₃⋊#95	C₂³	1	1	yes	characteristic
314	C₄₃⋊#95	C₂³	1	1	yes	characteristic
315	C₄₃⋊#95	C₂³	1	1	yes	characteristic
316	C₄₃⋊#95	C₂³	1	1	yes	characteristic
317	C₄₃⋊#95	C₂³	1	1	yes	characteristic
318	C₄₃⋊#95	C₂³	1	1	yes	characteristic
319	C₄₃⋊#95	C₂³	1	1	yes	characteristic
320	C₄₃⋊#95	C₂³	1	1	yes	characteristic
321	C₄₃⋊#95	C₂³	1	1	yes	characteristic
322	C₄₃⋊#95	C₂³	1	1	yes	characteristic
323	C₄₃⋊#95	C₂³	1	1	yes	characteristic
324	C₄₃⋊#95	C₂³	1	1	yes	characteristic
325	C₄₃⋊#95	C₂³	1	1	yes	characteristic
326	C₄₃⋊#95	C₂³	1	1	yes	characteristic
327	C₄₃⋊#95	C₂³	1	1	yes	characteristic
328	C₄₃⋊#95	C₂³	1	1	yes	characteristic
329	C₄₃⋊#95	C₂³	1	1	yes	characteristic
330	C₄₃⋊#95	C₂³	1	1	yes	characteristic
331	C₄₃⋊#95	C₂³	1	1	yes	characteristic
332	C₄₃⋊#95	C₂³	1	1	yes	characteristic
333	C₄₃⋊#95	C₂³	1	1	yes	characteristic
334	C₄₃⋊#95	C₂³	1	1	yes	characteristic
335	C₄₃⋊#95	C₂³	1	1	yes	characteristic
336	C₄₃⋊#95	C₂³	1	1	yes	characteristic
337	C₄₃⋊#95	C₂³	1	1	yes	characteristic
338	C₄₃⋊#95	C₂³	1	1	yes	characteristic
339	C₄₃⋊#95	C₂³	1	1	yes	characteristic
340	C₄₃⋊#95	C₂³	1	1	yes	characteristic
341	C₄₃⋊#95	C₂³	1	1	yes	characteristic
342	C₂²×Q₈×C₄₃	C₂³	1	1	yes	characteristic
343	C₂²×D₄×C₄₃	C₂³	1	1	yes	characteristic
344	C₂³×C₄×C₄₃	C₂³	1	1	yes	characteristic
345	C₂³×C₄×C₄₃	C₂³	1	1	yes	characteristic
346	C₂³×C₄×C₄₃	C₂³	1	1	yes	characteristic
347	C₂³×C₄×C₄₃	C₂³	1	1	yes	characteristic
348	C₂²⋊Q₈×C₄₃	—	2	4	no	—
349	C₄×D₄×C₄₃	—	2	4	no	—
350	C₂×C₄⋊C₄×C₄₃	C₂³	1	1	yes	characteristic
351	C₂×C₄⋊C₄×C₄₃	C₂³	1	1	yes	characteristic
352	C₂×C₄⋊C₄×C₄₃	C₂³	1	1	yes	characteristic
353	C₂×C₄⋊C₄×C₄₃	C₂³	1	1	yes	characteristic
354	C₂×C₄⋊C₄×C₄₃	C₂³	1	1	yes	characteristic
355	C₂×C₄⋊C₄×C₄₃	C₂³	1	1	yes	characteristic
356	C₂×C₄⋊C₄×C₄₃	C₂³	1	1	yes	characteristic
357	C₂×C₄⋊C₄×C₄₃	C₂³	1	1	yes	characteristic
358	C₂×C₂²⋊C₄×C₄₃	C₂³	1	1	yes	characteristic
359	C₂×C₂²⋊C₄×C₄₃	C₂³	1	1	yes	characteristic
360	C₂×C₂²⋊C₄×C₄₃	C₂³	1	1	yes	characteristic
361	C₂×C₂²⋊C₄×C₄₃	C₂³	1	1	yes	characteristic
362	C₂×C₂²⋊C₄×C₄₃	C₂³	1	1	yes	characteristic
363	C₂×C₂²⋊C₄×C₄₃	C₂³	1	1	yes	characteristic
364	C₂×C₂²⋊C₄×C₄₃	C₂³	1	1	yes	characteristic
365	C₂×C₂²⋊C₄×C₄₃	C₂³	1	1	yes	characteristic
366	C₂×C₄²×C₄₃	C₂³	1	1	yes	characteristic
367	#95×C₄₃	C₂³	1	1	yes	characteristic
368	#95×C₄₃	C₂³	1	1	yes	characteristic
369	#95×C₄₃	C₂³	1	1	yes	characteristic
370	#95×C₄₃	C₂³	1	1	yes	characteristic
371	#95×C₄₃	C₂³	1	1	yes	characteristic
372	#95×C₄₃	C₂³	1	1	yes	characteristic
373	#95×C₄₃	C₂³	1	1	yes	characteristic
374	#95×C₄₃	C₂³	1	1	yes	characteristic
375	#95×C₄₃	C₂³	1	1	yes	characteristic
376	#95×C₄₃	C₂³	1	1	yes	characteristic
377	#95×C₄₃	C₂³	1	1	yes	characteristic
378	#95×C₄₃	C₂³	1	1	yes	characteristic
379	C₂⁴×C₄₃	C₂⁴	1	1	yes	characteristic
380	C₂⁴×C₄₃	C₂⁴	1	1	yes	characteristic
381	C₂³×D₄₃	C₂⁴	1	1	yes	characteristic
382	C₂×Q₈×C₄₃	—	2	2	no	—
383	C₂×Q₈×C₄₃	—	4	1	no	—
384	C₂×Q₈×C₄₃	—	4	1	no	—
385	C₂×D₄×C₄₃	—	2	2	no	—
386	C₂×D₄×C₄₃	—	2	2	no	—
387	C₂×D₄×C₄₃	—	2	2	no	—
388	C₂²×C₄×C₄₃	—	2	2	no	—
389	C₂²×C₄×C₄₃	—	2	2	no	—
390	C₂²×C₄×C₄₃	—	2	2	no	—
391	C₂²×C₄×C₄₃	—	2	2	no	—
392	C₂²×C₄×C₄₃	—	4	1	no	—
393	C₂²×C₄×C₄₃	—	4	1	no	—
394	C₂²×C₄×C₄₃	—	4	1	no	—
395	C₂²×C₄×C₄₃	—	4	1	no	—
396	C₂²×C₄×C₄₃	—	4	1	no	—
397	C₂²×C₄×C₄₃	—	4	1	no	—
398	C₂²×C₄×C₄₃	—	4	1	no	—
399	C₂²×C₄×C₄₃	C₂×D₄	1	4	yes	—
400	C₂²×C₄×C₄₃	C₂⁴	1	1	yes	characteristic
401	C₂²×C₄×C₄₃	C₂⁴	1	1	yes	characteristic
402	C₂²×C₄×C₄₃	C₂⁴	1	1	yes	characteristic
403	C₂²×C₄×C₄₃	C₂⁴	1	1	yes	characteristic
404	C₂²×C₄×C₄₃	C₂⁴	1	1	yes	characteristic
405	C₂²×C₄×C₄₃	C₂⁴	1	1	yes	characteristic
406	C₂²×C₄×C₄₃	C₂⁴	1	1	yes	characteristic
407	C₂²×C₄×C₄₃	C₂⁴	1	1	yes	characteristic
408	C₂²×C₄×C₄₃	C₂⁴	1	1	yes	characteristic
409	C₂²×C₄×C₄₃	C₂⁴	1	1	yes	characteristic
410	C₂²×C₄×C₄₃	C₂⁴	1	1	yes	characteristic
411	C₂²×C₄×C₄₃	C₂⁴	1	1	yes	characteristic
412	C₂²×C₄×C₄₃	C₂⁴	1	1	yes	characteristic
413	C₂×C₂²⋊D₄₃	—	2	2	no	—
414	C₂×C₂²⋊D₄₃	—	2	2	no	—
415	C₂×C₂²⋊D₄₃	—	2	2	no	—
416	C₂×C₂²⋊D₄₃	—	2	2	no	—
417	C₂×C₂²⋊D₄₃	—	4	1	no	—
418	C₂×C₂²⋊D₄₃	—	4	1	no	—
419	C₂²×Dic₄₃	—	2	2	no	—
420	C₂²×Dic₄₃	—	2	2	no	—
421	C₂²×Dic₄₃	—	2	2	no	—
422	C₂²×Dic₄₃	—	2	2	no	—
423	C₂²×Dic₄₃	—	2	2	no	—
424	C₂²×Dic₄₃	—	4	1	no	—
425	C₂²×Dic₄₃	—	4	1	no	—
426	C₂²×Dic₄₃	—	4	1	no	—
427	C₂²×Dic₄₃	—	4	1	no	—
428	C₂²×Dic₄₃	—	4	1	no	—
429	C₂²×Dic₄₃	C₂×D₄	1	4	yes	—
430	C₂²×Dic₄₃	C₂×D₄	1	4	yes	—
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	C₂²×Dic₄₃	C₂⁴	1	1	yes	characteristic
435	C₂²×Dic₄₃	C₂⁴	1	1	yes	characteristic
436	C₂²×Dic₄₃	C₂⁴	1	1	yes	characteristic
437	C₂²×Dic₄₃	C₂⁴	1	1	yes	characteristic
438	C₂²×Dic₄₃	C₂⁴	1	1	yes	characteristic
439	C₂²×Dic₄₃	C₂⁴	1	1	yes	characteristic
440	C₂²×Dic₄₃	C₂⁴	1	1	yes	characteristic
441	C₂²×Dic₄₃	C₂⁴	1	1	yes	characteristic
442	C₂²×Dic₄₃	C₂⁴	1	1	yes	characteristic
443	C₂²×Dic₄₃	C₂⁴	1	1	yes	characteristic
444	C₂²×Dic₄₃	C₂⁴	1	1	yes	characteristic
445	C₂²×Dic₄₃	C₂⁴	1	1	yes	characteristic
446	C₂×C₄×D₄₃	—	2	2	no	—
447	C₂×C₄×D₄₃	—	4	1	no	—
448	C₂×C₄×D₄₃	—	4	1	no	—
449	C₂×Dic₈₆	—	2	2	no	—
450	C₂×Dic₈₆	—	2	2	no	—
451	C₂×Dic₈₆	—	2	2	no	—
452	C₂×Dic₈₆	—	2	2	no	—
453	C₂×Dic₈₆	—	4	1	no	—
454	C₂×Dic₈₆	—	4	1	no	—
455	C₂×Dic₈₆	—	4	1	no	—
456	C₂×Dic₈₆	—	4	1	no	—
457	C₂×Dic₈₆	—	4	1	no	—
458	C₂×Dic₈₆	—	4	1	no	—
459	C₂×Dic₈₆	—	4	1	no	—
460	C₂×Dic₈₆	—	4	1	no	—
461	C₄⋊C₄×C₄₃	—	2	2	no	—
462	C₄⋊C₄×C₄₃	—	2	2	no	—
463	C₄⋊C₄×C₄₃	—	2	2	no	—
464	C₄⋊C₄×C₄₃	—	2	2	no	—
465	C₄⋊C₄×C₄₃	—	2	2	no	—
466	C₄⋊C₄×C₄₃	—	4	1	no	—
467	C₄⋊C₄×C₄₃	—	4	1	no	—
468	C₄⋊C₄×C₄₃	—	4	1	no	—
469	C₂²⋊C₄×C₄₃	—	2	2	no	—
470	C₂²⋊C₄×C₄₃	—	2	2	no	—
471	C₂²⋊C₄×C₄₃	—	2	2	no	—
472	C₂²⋊C₄×C₄₃	—	2	2	no	—
473	C₂²⋊C₄×C₄₃	—	2	2	no	—
474	C₂²⋊C₄×C₄₃	—	4	1	no	—
475	C₂²⋊C₄×C₄₃	—	4	1	no	—
476	C₂²⋊C₄×C₄₃	—	4	1	no	—
477	C₄²×C₄₃	—	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	—	2	2	no	—
484	C₂²⋊Dic₄₃	—	2	2	no	—
485	C₂²⋊Dic₄₃	—	4	1	no	—
486	C₂²⋊Dic₄₃	—	4	1	no	—
487	C₂²⋊Dic₄₃	—	4	1	no	—
488	(C₂×D₄₃)⋊C₄	—	2	2	no	—
489	(C₂×D₄₃)⋊C₄	—	2	2	no	—
490	(C₂×D₄₃)⋊C₄	—	2	2	no	—
491	(C₂×D₄₃)⋊C₄	—	2	2	no	—
492	(C₂×D₄₃)⋊C₄	—	2	2	no	—
493	(C₂×D₄₃)⋊C₄	—	2	2	no	—
494	(C₂×D₄₃)⋊C₄	—	4	1	no	—
495	(C₂×D₄₃)⋊C₄	—	4	1	no	—
496	(C₂×D₄₃)⋊C₄	—	4	1	no	—
497	(C₂×D₄₃)⋊C₄	—	4	1	no	—
498	(C₂×D₄₃)⋊C₄	—	4	1	no	—
499	(C₂×D₄₃)⋊C₄	—	4	1	no	—
500	C₄⋊Dic₄₃	—	2	2	no	—
501	C₄⋊Dic₄₃	—	2	2	no	—
502	C₄⋊Dic₄₃	—	2	2	no	—
503	C₄⋊Dic₄₃	—	2	2	no	—
504	C₄⋊Dic₄₃	—	2	2	no	—
505	C₄⋊Dic₄₃	—	2	2	no	—
506	C₄⋊Dic₄₃	—	2	2	no	—
507	C₄⋊Dic₄₃	—	2	2	no	—
508	C₄⋊Dic₄₃	—	2	2	no	—
509	C₄⋊Dic₄₃	—	4	1	no	—
510	C₄⋊Dic₄₃	—	4	1	no	—
511	C₄⋊Dic₄₃	—	4	1	no	—
512	C₄⋊Dic₄₃	—	4	1	no	—
513	C₄⋊Dic₄₃	—	4	1	no	—
514	Dic₄₃⋊C₄	—	2	2	no	—
515	Dic₄₃⋊C₄	—	2	2	no	—
516	Dic₄₃⋊C₄	—	2	2	no	—
517	Dic₄₃⋊C₄	—	2	2	no	—
518	Dic₄₃⋊C₄	—	2	2	no	—
519	Dic₄₃⋊C₄	—	2	2	no	—
520	Dic₄₃⋊C₄	—	2	2	no	—
521	Dic₄₃⋊C₄	—	2	2	no	—
522	Dic₄₃⋊C₄	—	2	2	no	—
523	Dic₄₃⋊C₄	—	2	2	no	—
524	Dic₄₃⋊C₄	—	2	2	no	—
525	Dic₄₃⋊C₄	—	2	2	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	—	2	2	no	—
531	Dic₄₃⋊C₄	—	2	2	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	C₂×D₄	1	4	yes	—
539	Dic₄₃⋊C₄	C₂×D₄	1	4	yes	—
540	Dic₄₃⋊C₄	C₂×D₄	1	4	yes	—
541	Dic₄₃⋊C₄	C₂×D₄	1	4	yes	—
542	C₄×Dic₄₃	—	2	2	no	—
543	C₄×Dic₄₃	—	2	2	no	—
544	C₄×Dic₄₃	—	2	2	no	—
545	C₄×Dic₄₃	—	2	2	no	—
546	C₄×Dic₄₃	—	2	2	no	—
547	C₄×Dic₄₃	—	2	2	no	—
548	C₄×Dic₄₃	—	2	2	no	—
549	C₄×Dic₄₃	—	4	1	no	—
550	C₄×Dic₄₃	—	4	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	C₂²×D₄	1	2	yes	—
563	C₂³×C₄₃	2₋¹⁺⁴	1	2	yes	—
564	C₂³×C₄₃	2₋¹⁺⁴	1	2	yes	—
565	C₂³×C₄₃	C₂⁵	1	1	yes	characteristic
566	C₂²×D₄₃	—	2	1	no	—
567	C₂²×D₄₃	—	2	1	no	—
568	C₂²×D₄₃	—	2	1	no	—
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	Q₈×C₄₃	—	8	2	no	—
574	D₄×C₄₃	—	4	4	no	—
575	C₂×C₄×C₄₃	—	2	1	no	—
576	C₂×C₄×C₄₃	—	2	1	no	—
577	C₂×C₄×C₄₃	—	2	1	no	—
578	C₂×C₄×C₄₃	—	2	1	no	—
579	C₂×C₄×C₄₃	—	2	1	no	—
580	C₂×C₄×C₄₃	—	2	1	no	—
581	C₂×C₄×C₄₃	—	2	1	no	—
582	C₂×C₄×C₄₃	—	2	1	no	—
583	C₂×C₄×C₄₃	—	2	1	no	—
584	C₂×C₄×C₄₃	—	2	1	no	—
585	C₂×C₄×C₄₃	—	2	1	no	—
586	C₂×C₄×C₄₃	—	2	1	no	—
587	C₂×C₄×C₄₃	—	2	1	no	—
588	C₂×C₄×C₄₃	—	2	1	no	—
589	C₂×C₄×C₄₃	—	2	1	no	—
590	C₂×C₄×C₄₃	—	2	1	no	—
591	C₂×C₄×C₄₃	—	2	1	no	—
592	C₂×C₄×C₄₃	—	2	1	no	—
593	C₂×C₄×C₄₃	—	2	1	no	—
594	C₂×C₄×C₄₃	—	2	1	no	—
595	C₂×C₄×C₄₃	—	2	1	no	—
596	C₂×C₄×C₄₃	—	2	1	no	—
597	C₂×C₄×C₄₃	—	2	1	no	—
598	C₂×C₄×C₄₃	—	2	1	no	—
599	C₂×C₄×C₄₃	—	2	1	no	—
600	C₂×C₄×C₄₃	—	2	1	no	—
601	C₂×C₄×C₄₃	—	2	1	no	—
602	C₂×C₄×C₄₃	—	2	1	no	—
603	C₂×C₄×C₄₃	—	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	—	4	4	no	—
612	C₂×C₄×C₄₃	—	4	4	no	—
613	C₂×C₄×C₄₃	—	8	2	no	—
614	C₂×C₄×C₄₃	—	8	2	no	—
615	C₂×C₄×C₄₃	C₂²×D₄	1	2	yes	—
616	C₂×C₄×C₄₃	C₂²×D₄	1	2	yes	—
617	C₂×C₄×C₄₃	2₋¹⁺⁴	1	2	yes	—
618	C₂²⋊D₄₃	—	4	4	no	—
619	C₂²⋊D₄₃	—	8	2	no	—
620	C₂×Dic₄₃	—	2	8	no	—
621	C₂×Dic₄₃	—	2	1	no	—
622	C₂×Dic₄₃	—	2	1	no	—
623	C₂×Dic₄₃	—	2	1	no	—
624	C₂×Dic₄₃	—	2	1	no	—
625	C₂×Dic₄₃	—	2	1	no	—
626	C₂×Dic₄₃	—	2	1	no	—
627	C₂×Dic₄₃	—	2	1	no	—
628	C₂×Dic₄₃	—	2	1	no	—
629	C₂×Dic₄₃	—	2	1	no	—
630	C₂×Dic₄₃	—	2	1	no	—
631	C₂×Dic₄₃	—	2	1	no	—
632	C₂×Dic₄₃	—	2	1	no	—
633	C₂×Dic₄₃	—	2	1	no	—
634	C₂×Dic₄₃	—	2	1	no	—
635	C₂×Dic₄₃	—	2	1	no	—
636	C₂×Dic₄₃	—	2	1	no	—
637	C₂×Dic₄₃	—	2	1	no	—
638	C₂×Dic₄₃	—	2	1	no	—
639	C₂×Dic₄₃	—	2	1	no	—
640	C₂×Dic₄₃	—	2	1	no	—
641	C₂×Dic₄₃	—	2	1	no	—
642	C₂×Dic₄₃	—	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	—	4	4	no	—
662	C₂×Dic₄₃	—	4	4	no	—
663	C₂×Dic₄₃	—	8	2	no	—
664	C₂×Dic₄₃	C₂²×D₄	1	2	yes	—
665	C₂×Dic₄₃	C₂²×D₄	1	2	yes	—
666	C₂×Dic₄₃	C₂²×D₄	1	2	yes	—
667	C₂×Dic₄₃	C₂²×D₄	1	2	yes	—
668	C₂×Dic₄₃	H(5,𝔽₂)	1	2	yes	—
669	C₄×D₄₃	—	8	2	no	—
670	Dic₈₆	—	8	2	no	—
671	Dic₈₆	—	8	2	no	—
672	Dic₈₆	—	8	2	no	—
673	Dic₈₆	—	8	2	no	—
674	#36742	—	43	1	no	maximal, Sylow
675	C₂²×C₄₃	—	2	2	no	—
676	C₂²×C₄₃	—	2	2	no	—
677	C₂²×C₄₃	—	2	2	no	—
678	C₂²×C₄₃	—	2	2	no	—
679	C₂²×C₄₃	—	2	2	no	—
680	C₂²×C₄₃	—	2	2	no	—
681	C₂²×C₄₃	—	4	1	no	—
682	C₂²×C₄₃	—	4	1	no	—
683	C₂²×C₄₃	—	4	1	no	—
684	C₂²×C₄₃	—	4	1	no	—
685	C₂²×C₄₃	—	4	1	no	—
686	C₂²×C₄₃	—	4	1	no	—
687	C₂²×C₄₃	—	4	1	no	—
688	C₂²×C₄₃	#536	1	4	yes	—
689	C₂²×C₄₃	C₂³×D₄	1	1	yes	characteristic
690	C₂²×C₄₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
691	C₂²×C₄₃	C₂×2₋¹⁺⁴	1	1	yes	characteristic
692	C₂²×C₄₃	C₂×2₋¹⁺⁴	1	1	yes	characteristic
693	C₂²×C₄₃	C₂×2₋¹⁺⁴	1	1	yes	characteristic
694	C₂²×C₄₃	#585	1	1	yes	characteristic
695	C₂²×C₄₃	#585	1	1	yes	characteristic
696	C₂×D₄₃	—	4	1	no	—
697	C₂×D₄₃	—	4	1	no	—
698	C₂×D₄₃	—	4	1	no	—
699	C₂×D₄₃	—	4	1	no	—
700	C₂×D₄₃	—	4	1	no	—
701	C₂×D₄₃	—	4	1	no	—
702	C₂×D₄₃	—	4	1	no	—
703	C₄×C₄₃	—	2	2	no	—
704	C₄×C₄₃	—	2	2	no	—
705	C₄×C₄₃	—	2	2	no	—
706	C₄×C₄₃	—	4	1	no	—
707	C₄×C₄₃	—	4	1	no	—
708	C₄×C₄₃	—	4	1	no	—
709	C₄×C₄₃	—	4	1	no	—
710	C₄×C₄₃	—	4	1	no	—
711	C₄×C₄₃	—	4	1	no	—
712	C₄×C₄₃	—	4	1	no	—
713	C₄×C₄₃	—	4	1	no	—
714	C₄×C₄₃	—	4	1	no	—
715	C₄×C₄₃	—	4	1	no	—
716	Dic₄₃	—	2	2	no	—
717	Dic₄₃	—	2	2	no	—
718	Dic₄₃	—	2	2	no	—
719	Dic₄₃	—	2	2	no	—
720	Dic₄₃	—	2	2	no	—
721	Dic₄₃	—	4	1	no	—
722	Dic₄₃	—	4	1	no	—
723	Dic₄₃	—	4	1	no	—
724	Dic₄₃	—	4	1	no	—
725	Dic₄₃	—	4	1	no	—
726	Dic₄₃	—	4	1	no	—
727	Dic₄₃	—	4	1	no	—
728	Dic₄₃	—	4	1	no	—
729	Dic₄₃	—	4	1	no	—
730	Dic₄₃	—	4	1	no	—
731	C₂×#544	—	43	1	no	—
732	C₂×#539	—	43	1	no	—
733	#2857	—	43	1	no	—
734	#2850	—	43	1	no	—
735	#2721	—	43	1	no	—
736	#2721	—	43	1	no	—
737	#2719	—	43	1	no	—
738	#2719	—	43	1	no	—
739	#2716	—	43	1	no	—
740	#2716	—	43	1	no	—
741	#2713	—	43	1	no	—
742	#2713	—	43	1	no	—
743	#2694	—	43	1	no	—
744	#2694	—	43	1	no	—
745	#2690	—	43	1	no	—
746	#2690	—	43	1	no	—
747	#2677	—	43	1	no	—
748	#2677	—	43	1	no	—
749	#2674	—	43	1	no	—
750	#2674	—	43	1	no	—
751	#2659	—	43	1	no	—
752	#2639	—	43	1	no	—
753	#2564	—	43	1	no	—
754	#2564	D₄₃	1	1	yes	characteristic, complemented
755	#2498	—	43	1	no	—
756	#2498	—	43	1	no	—
757	#2498	—	43	1	no	—
758	#2498	—	43	1	no	—
759	#2417	—	43	1	no	—
760	#2417	—	43	1	no	—
761	C₂×#387	—	43	1	no	—
762	C₂×C₄₃	—	2	4	no	—
763	C₂×C₄₃	—	8	1	no	—
764	C₂×C₄₃	C₂×#536	1	1	yes	characteristic
765	C₂×C₄₃	#3496	1	1	yes	characteristic
766	C₂×C₄₃	#3497	1	1	yes	characteristic
767	C₂×C₄₃	#3535	1	1	yes	characteristic
768	C₂×C₄₃	#3538	1	1	yes	characteristic
769	C₂×C₄₃	#3563	1	1	yes	characteristic
770	C₂×C₄₃	#3564	1	1	yes	characteristic
771	D₄₃	—	8	1	no	—
772	#544	—	86	8	no	—
773	#539	—	86	8	no	—
774	C₂×C₄⋊Q₈	—	43	1	no	—
775	C₂×C₄⋊Q₈	—	43	1	no	—
776	C₂×C₄⋊Q₈	—	43	1	no	—
777	C₂×C₄⋊Q₈	—	43	1	no	—
778	C₂×C₄⋊Q₈	—	43	1	no	—
779	C₂×#126	—	43	1	no	—
780	C₂×#126	—	43	1	no	—
781	C₂×#125	—	43	1	no	—
782	C₂×#125	—	43	1	no	—
783	C₂×#125	—	43	1	no	—
784	C₂×#125	—	43	1	no	—
785	C₂×#125	—	43	1	no	—
786	C₂×#125	—	43	1	no	—
787	C₂×#124	—	43	1	no	—
788	C₂×#123	—	43	1	no	—
789	C₂×#123	—	43	1	no	—
790	C₂×#123	—	43	1	no	—
791	C₂×#123	—	43	1	no	—
792	C₂×C₂²⋊Q₈	—	43	1	no	—
793	C₂×C₂²⋊Q₈	—	43	1	no	—
794	C₂×C₂²⋊Q₈	—	43	1	no	—
795	C₂×C₂²⋊Q₈	—	43	1	no	—
796	C₂×C₂²⋊Q₈	—	43	1	no	—
797	C₂×C₂²⋊Q₈	—	43	1	no	—
798	C₂×C₂²⋊Q₈	—	43	1	no	—
799	C₂×C₂²⋊Q₈	—	43	1	no	—
800	C₂×C₂²⋊Q₈	C₂×D₄₃	1	1	yes	characteristic
801	C₂×#121	—	43	1	no	—
802	C₂×C₄×D₄	—	43	1	no	—
803	C₂×C₄×D₄	C₂×D₄₃	1	1	yes	characteristic
804	C₂×#117	—	43	1	no	—
805	C₂×#117	—	43	1	no	—
806	C₂²×C₄⋊C₄	—	43	1	no	—
807	C₂²×C₄⋊C₄	—	43	1	no	—
808	C₂²×C₄²	—	43	1	no	—
809	#400	—	43	1	no	—
810	#400	—	43	1	no	—
811	#400	—	43	1	no	—
812	#400	—	43	1	no	—
813	#400	—	43	1	no	—
814	#400	—	43	1	no	—
815	#400	—	43	1	no	—
816	#400	C₂×D₄₃	1	1	yes	characteristic
817	#399	—	43	1	no	—
818	#399	—	43	1	no	—
819	#399	—	43	1	no	—
820	#399	—	43	1	no	—
821	#399	—	43	1	no	—
822	#399	C₂×D₄₃	1	1	yes	characteristic
823	#398	—	43	1	no	—
824	#398	—	43	1	no	—
825	#398	—	43	1	no	—
826	#398	—	43	1	no	—
827	#398	—	43	1	no	—
828	#398	—	43	1	no	—
829	#398	—	43	1	no	—
830	#398	—	43	1	no	—
831	#398	—	43	1	no	—
832	#398	—	43	1	no	—
833	#398	—	43	1	no	—
834	#398	—	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	#396	—	43	1	no	—
842	#396	—	43	1	no	—
843	#396	—	43	1	no	—
844	#396	—	43	1	no	—
845	#395	—	43	1	no	—
846	#395	—	43	1	no	—
847	#395	—	43	1	no	—
848	#395	—	43	1	no	—
849	#395	—	43	1	no	—
850	#395	C₂×D₄₃	1	1	yes	characteristic
851	#394	—	43	1	no	—
852	#394	—	43	1	no	—
853	#393	—	43	1	no	—
854	#393	—	43	1	no	—
855	#393	—	43	1	no	—
856	#393	C₂×D₄₃	1	1	yes	characteristic
857	#391	—	43	1	no	—
858	#391	—	43	1	no	—
859	#391	—	43	1	no	—
860	#391	—	43	1	no	—
861	#391	—	43	1	no	—
862	#390	—	43	1	no	—
863	#389	—	43	1	no	—
864	#389	—	43	1	no	—
865	#389	—	43	1	no	—
866	#389	—	43	1	no	—
867	#389	—	43	1	no	—
868	#389	—	43	1	no	—
869	#388	—	43	1	no	—
870	#388	—	43	1	no	—
871	#388	—	43	1	no	—
872	#388	—	43	1	no	—
873	#388	—	43	1	no	—
874	#388	—	43	1	no	—
875	#388	—	43	1	no	—
876	#388	—	43	1	no	—
877	#388	—	43	1	no	—
878	#388	—	43	1	no	—
879	#388	—	43	1	no	—
880	#388	—	43	1	no	—
881	#387	—	43	1	no	—
882	#387	—	43	1	no	—
883	#387	—	43	1	no	—
884	#387	—	43	1	no	—
885	#387	—	43	1	no	—
886	#387	—	43	1	no	—
887	#387	—	43	1	no	—
888	#387	—	43	1	no	—
889	#387	—	43	1	no	—
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	C₂×D₄₃	1	1	yes	characteristic
900	#387	C₂×D₄₃	1	1	yes	characteristic
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	C₂×D₄₃	1	1	yes	characteristic
908	#386	C₂×D₄₃	1	1	yes	characteristic
909	#385	—	43	1	no	—
910	#385	—	43	1	no	—
911	#385	C₂×D₄₃	1	1	yes	characteristic
912	#385	C₂×D₄₃	1	1	yes	characteristic
913	#384	—	43	1	no	—
914	#382	—	43	1	no	—
915	#380	—	43	1	no	—
916	#380	—	43	1	no	—
917	#380	—	43	1	no	—
918	#380	—	43	1	no	—
919	#380	—	43	1	no	—
920	#380	—	43	1	no	—
921	#380	—	43	1	no	—
922	#380	—	43	1	no	—
923	#380	C₂×D₄₃	1	1	yes	characteristic
924	#380	C₂×D₄₃	1	1	yes	characteristic
925	C₂×#95	—	43	1	no	—
926	C₂×#95	—	43	1	no	—
927	C₂×#95	—	43	1	no	—
928	C₂×#95	C₂×D₄₃	1	1	yes	characteristic
929	C₄₃	#36742	1	1	yes	characteristic, complemented, Sylow
930	C₂²×Q₈	—	43	1	no	—
931	C₂²×Q₈	—	43	1	no	—
932	C₂²×Q₈	—	43	1	no	—
933	C₂²×Q₈	—	43	1	no	—
934	C₂²×Q₈	C₂²×D₄₃	1	1	yes	characteristic
935	C₂²×D₄	—	43	1	no	—
936	C₂²×D₄	—	43	1	no	—
937	C₂²×D₄	C₂²×D₄₃	1	1	yes	characteristic
938	C₂³×C₄	—	43	1	no	—
939	C₂³×C₄	—	43	1	no	—
940	C₂³×C₄	—	43	1	no	—
941	C₂³×C₄	—	43	1	no	—
942	C₂³×C₄	—	43	1	no	—
943	C₂³×C₄	C₂²×D₄₃	1	1	yes	characteristic
944	C₂³×C₄	C₂²×D₄₃	1	1	yes	characteristic
945	C₂³×C₄	C₂²×D₄₃	1	1	yes	characteristic
946	C₂³×C₄	C₂²×D₄₃	1	1	yes	characteristic
947	C₄⋊Q₈	—	86	4	no	—
948	C₄⋊Q₈	—	86	4	no	—
949	C₄⋊Q₈	—	86	4	no	—
950	C₄⋊Q₈	—	86	4	no	—
951	C₄⋊Q₈	—	172	2	no	—
952	#126	—	86	4	no	—
953	#126	—	86	4	no	—
954	#125	—	86	4	no	—
955	#125	—	86	4	no	—
956	#125	—	86	4	no	—
957	#125	—	86	4	no	—
958	#125	—	86	4	no	—
959	#125	—	86	4	no	—
960	#124	—	172	2	no	—
961	#123	—	86	4	no	—
962	#123	—	86	4	no	—
963	#123	—	86	4	no	—
964	#123	—	86	4	no	—
965	C₂²⋊Q₈	—	2	4	no	—
966	C₂²⋊Q₈	—	86	4	no	—
967	C₂²⋊Q₈	—	86	4	no	—
968	C₂²⋊Q₈	—	86	4	no	—
969	C₂²⋊Q₈	—	86	4	no	—
970	C₂²⋊Q₈	—	86	4	no	—
971	C₂²⋊Q₈	—	86	4	no	—
972	C₂²⋊Q₈	—	172	2	no	—
973	C₂²⋊Q₈	—	172	2	no	—
974	#121	—	86	4	no	—
975	C₄×D₄	—	2	4	no	—
976	C₄×D₄	—	86	4	no	—
977	#117	—	86	4	no	—
978	#117	—	86	4	no	—
979	C₂×C₄⋊C₄	—	43	8	no	—
980	C₂×C₄⋊C₄	—	43	1	no	—
981	C₂×C₄⋊C₄	—	43	1	no	—
982	C₂×C₄⋊C₄	—	43	1	no	—
983	C₂×C₄⋊C₄	—	43	1	no	—
984	C₂×C₄⋊C₄	—	43	1	no	—
985	C₂×C₄⋊C₄	—	43	1	no	—
986	C₂×C₄⋊C₄	—	43	1	no	—
987	C₂×C₄⋊C₄	—	43	1	no	—
988	C₂×C₄⋊C₄	—	43	1	no	—
989	C₂×C₄⋊C₄	—	43	1	no	—
990	C₂×C₄⋊C₄	—	43	1	no	—
991	C₂×C₄⋊C₄	—	43	1	no	—
992	C₂×C₄⋊C₄	—	43	1	no	—
993	C₂×C₄⋊C₄	—	43	1	no	—
994	C₂×C₄⋊C₄	—	43	1	no	—
995	C₂×C₄⋊C₄	—	43	1	no	—
996	C₂×C₄⋊C₄	—	43	1	no	—
997	C₂×C₄⋊C₄	—	43	1	no	—
998	C₂×C₄⋊C₄	—	43	1	no	—
999	C₂×C₄⋊C₄	—	43	1	no	—
1000	C₂×C₄⋊C₄	—	43	1	no	—
1001	C₂×C₄⋊C₄	—	43	1	no	—
1002	C₂×C₄⋊C₄	—	43	1	no	—
1003	C₂×C₄⋊C₄	—	43	1	no	—
1004	C₂×C₄⋊C₄	—	43	1	no	—
1005	C₂×C₄⋊C₄	—	43	1	no	—
1006	C₂×C₄⋊C₄	—	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	—	43	1	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×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	C₂²×D₄₃	1	1	yes	characteristic
1054	C₂×C₂²⋊C₄	C₂²×D₄₃	1	1	yes	characteristic
1055	C₂×C₂²⋊C₄	C₂²×D₄₃	1	1	yes	characteristic
1056	C₂×C₂²⋊C₄	C₂²×D₄₃	1	1	yes	characteristic
1057	C₂×C₂²⋊C₄	C₂²×D₄₃	1	1	yes	characteristic
1058	C₂×C₂²⋊C₄	C₂²×D₄₃	1	1	yes	characteristic
1059	C₂×C₂²⋊C₄	C₂²×D₄₃	1	1	yes	characteristic
1060	C₂×C₂²⋊C₄	C₂²×D₄₃	1	1	yes	characteristic
1061	C₂×C₄²	—	43	1	no	—
1062	C₂×C₄²	—	43	1	no	—
1063	C₂×C₄²	—	43	1	no	—
1064	C₂×C₄²	—	43	1	no	—
1065	C₂×C₄²	—	43	1	no	—
1066	C₂×C₄²	—	43	1	no	—
1067	C₂×C₄²	—	43	1	no	—
1068	C₂×C₄²	—	43	1	no	—
1069	C₂×C₄²	—	43	1	no	—
1070	C₂×C₄²	—	172	2	no	—
1071	C₂×C₄²	C₂²×D₄₃	1	1	yes	characteristic
1072	#95	—	43	1	no	—
1073	#95	—	43	1	no	—
1074	#95	—	43	1	no	—
1075	#95	—	43	1	no	—
1076	#95	—	43	1	no	—
1077	#95	—	43	1	no	—
1078	#95	—	43	1	no	—
1079	#95	—	43	1	no	—
1080	#95	—	43	1	no	—
1081	#95	—	43	1	no	—
1082	#95	—	43	1	no	—
1083	#95	—	43	1	no	—
1084	#95	—	43	1	no	—
1085	#95	—	43	1	no	—
1086	#95	—	43	1	no	—
1087	#95	—	43	1	no	—
1088	#95	—	43	1	no	—
1089	#95	—	43	1	no	—
1090	#95	—	43	1	no	—
1091	#95	—	43	1	no	—
1092	#95	—	43	1	no	—
1093	#95	—	43	1	no	—
1094	#95	—	43	1	no	—
1095	#95	—	43	1	no	—
1096	#95	—	43	1	no	—
1097	#95	—	43	1	no	—
1098	#95	—	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	C₂²×D₄₃	1	1	yes	characteristic
1109	#95	C₂²×D₄₃	1	1	yes	characteristic
1110	#95	C₂²×D₄₃	1	1	yes	characteristic
1111	#95	C₂²×D₄₃	1	1	yes	characteristic
1112	#95	C₂²×D₄₃	1	1	yes	characteristic
1113	#95	C₂²×D₄₃	1	1	yes	characteristic
1114	#95	C₂²×D₄₃	1	1	yes	characteristic
1115	#95	C₂²×D₄₃	1	1	yes	characteristic
1116	#95	C₂²×D₄₃	1	1	yes	characteristic
1117	#95	C₂²×D₄₃	1	1	yes	characteristic
1118	#95	C₂²×D₄₃	1	1	yes	characteristic
1119	#95	C₂²×D₄₃	1	1	yes	characteristic
1120	C₂⁴	—	43	1	no	—
1121	C₂⁴	C₂³×D₄₃	1	1	yes	characteristic
1122	C₂⁴	C₂³×D₄₃	1	1	yes	characteristic
1123	C₂×Q₈	—	2	2	no	—
1124	C₂×Q₈	—	4	1	no	—
1125	C₂×Q₈	—	4	1	no	—
1126	C₂×Q₈	—	86	2	no	—
1127	C₂×Q₈	—	86	2	no	—
1128	C₂×Q₈	—	86	2	no	—
1129	C₂×Q₈	—	86	2	no	—
1130	C₂×Q₈	—	172	1	no	—
1131	C₂×Q₈	—	172	1	no	—
1132	C₂×Q₈	—	172	1	no	—
1133	C₂×Q₈	—	172	1	no	—
1134	C₂×Q₈	—	172	1	no	—
1135	C₂×Q₈	—	172	1	no	—
1136	C₂×Q₈	—	172	1	no	—
1137	C₂×Q₈	—	172	1	no	—
1138	C₂×D₄	—	2	2	no	—
1139	C₂×D₄	—	2	2	no	—
1140	C₂×D₄	—	2	2	no	—
1141	C₂×D₄	—	86	2	no	—
1142	C₂×D₄	—	86	2	no	—
1143	C₂×D₄	—	86	2	no	—
1144	C₂×D₄	—	86	2	no	—
1145	C₂×D₄	—	172	1	no	—
1146	C₂×D₄	—	172	1	no	—
1147	C₂²×C₄	—	2	2	no	—
1148	C₂²×C₄	—	2	2	no	—
1149	C₂²×C₄	—	2	2	no	—
1150	C₂²×C₄	—	2	2	no	—
1151	C₂²×C₄	—	4	1	no	—
1152	C₂²×C₄	—	4	1	no	—
1153	C₂²×C₄	—	4	1	no	—
1154	C₂²×C₄	—	4	1	no	—
1155	C₂²×C₄	—	4	1	no	—
1156	C₂²×C₄	—	4	1	no	—
1157	C₂²×C₄	—	4	1	no	—
1158	C₂²×C₄	—	43	4	no	—
1159	C₂²×C₄	—	43	1	no	—
1160	C₂²×C₄	—	43	1	no	—
1161	C₂²×C₄	—	43	1	no	—
1162	C₂²×C₄	—	43	1	no	—
1163	C₂²×C₄	—	43	1	no	—
1164	C₂²×C₄	—	43	4	no	—
1165	C₂²×C₄	—	43	1	no	—
1166	C₂²×C₄	—	43	1	no	—
1167	C₂²×C₄	—	43	1	no	—
1168	C₂²×C₄	—	43	1	no	—
1169	C₂²×C₄	—	43	1	no	—
1170	C₂²×C₄	—	43	1	no	—
1171	C₂²×C₄	—	43	1	no	—
1172	C₂²×C₄	—	43	1	no	—
1173	C₂²×C₄	—	43	1	no	—
1174	C₂²×C₄	—	43	1	no	—
1175	C₂²×C₄	—	86	2	no	—
1176	C₂²×C₄	—	86	2	no	—
1177	C₂²×C₄	—	86	2	no	—
1178	C₂²×C₄	—	86	2	no	—
1179	C₂²×C₄	—	86	2	no	—
1180	C₂²×C₄	—	86	2	no	—
1181	C₂²×C₄	—	172	1	no	—
1182	C₂²×C₄	—	172	1	no	—
1183	C₂²×C₄	—	172	1	no	—
1184	C₂²×C₄	—	172	1	no	—
1185	C₂²×C₄	—	172	1	no	—
1186	C₂²×C₄	—	172	1	no	—
1187	C₂²×C₄	—	172	1	no	—
1188	C₂²×C₄	D₄×D₄₃	1	4	yes	—
1189	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
1190	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
1191	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
1192	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
1193	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
1194	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
1195	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
1196	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
1197	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
1198	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
1199	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
1200	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
1201	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
1202	C₄⋊C₄	—	2	2	no	—
1203	C₄⋊C₄	—	2	2	no	—
1204	C₄⋊C₄	—	2	2	no	—
1205	C₄⋊C₄	—	2	2	no	—
1206	C₄⋊C₄	—	2	2	no	—
1207	C₄⋊C₄	—	4	1	no	—
1208	C₄⋊C₄	—	4	1	no	—
1209	C₄⋊C₄	—	4	1	no	—
1210	C₄⋊C₄	—	43	4	no	—
1211	C₄⋊C₄	—	43	4	no	—
1212	C₄⋊C₄	—	43	4	no	—
1213	C₄⋊C₄	—	43	4	no	—
1214	C₄⋊C₄	—	86	2	no	—
1215	C₄⋊C₄	—	86	2	no	—
1216	C₄⋊C₄	—	86	2	no	—
1217	C₄⋊C₄	—	86	2	no	—
1218	C₄⋊C₄	—	86	2	no	—
1219	C₄⋊C₄	—	86	2	no	—
1220	C₄⋊C₄	—	86	2	no	—
1221	C₄⋊C₄	—	86	2	no	—
1222	C₄⋊C₄	—	86	2	no	—
1223	C₄⋊C₄	—	86	2	no	—
1224	C₄⋊C₄	—	86	2	no	—
1225	C₄⋊C₄	—	86	2	no	—
1226	C₄⋊C₄	—	86	2	no	—
1227	C₄⋊C₄	—	86	2	no	—
1228	C₄⋊C₄	—	86	2	no	—
1229	C₄⋊C₄	—	86	2	no	—
1230	C₄⋊C₄	—	86	2	no	—
1231	C₄⋊C₄	—	86	2	no	—
1232	C₄⋊C₄	—	86	2	no	—
1233	C₄⋊C₄	—	86	2	no	—
1234	C₄⋊C₄	—	86	2	no	—
1235	C₄⋊C₄	—	86	2	no	—
1236	C₄⋊C₄	—	86	2	no	—
1237	C₄⋊C₄	—	86	2	no	—
1238	C₄⋊C₄	—	86	2	no	—
1239	C₄⋊C₄	—	86	2	no	—
1240	C₄⋊C₄	—	86	2	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	C₂²⋊C₄	—	2	2	no	—
1253	C₂²⋊C₄	—	2	2	no	—
1254	C₂²⋊C₄	—	2	2	no	—
1255	C₂²⋊C₄	—	2	2	no	—
1256	C₂²⋊C₄	—	2	2	no	—
1257	C₂²⋊C₄	—	4	1	no	—
1258	C₂²⋊C₄	—	4	1	no	—
1259	C₂²⋊C₄	—	4	1	no	—
1260	C₂²⋊C₄	—	86	2	no	—
1261	C₂²⋊C₄	—	86	2	no	—
1262	C₂²⋊C₄	—	86	2	no	—
1263	C₂²⋊C₄	—	86	2	no	—
1264	C₂²⋊C₄	—	86	2	no	—
1265	C₂²⋊C₄	—	86	2	no	—
1266	C₂²⋊C₄	—	86	2	no	—
1267	C₂²⋊C₄	—	86	2	no	—
1268	C₂²⋊C₄	—	86	2	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	—	172	1	no	—
1274	C₂²⋊C₄	—	172	1	no	—
1275	C₂²⋊C₄	—	172	1	no	—
1276	C₂²⋊C₄	—	172	1	no	—
1277	C₂²⋊C₄	—	172	1	no	—
1278	C₂²⋊C₄	—	172	1	no	—
1279	C₂²⋊C₄	—	172	1	no	—
1280	C₂²⋊C₄	—	172	1	no	—
1281	C₂²⋊C₄	—	172	1	no	—
1282	C₄²	—	2	2	no	—
1283	C₄²	—	86	2	no	—
1284	C₄²	—	86	2	no	—
1285	C₄²	—	86	2	no	—
1286	C₄²	—	86	2	no	—
1287	C₄²	—	86	2	no	—
1288	C₄²	—	86	2	no	—
1289	C₄²	—	86	2	no	—
1290	C₄²	—	172	1	no	—
1291	C₄²	—	172	1	no	—
1292	C₂³	—	2	1	no	—
1293	C₂³	—	2	1	no	—
1294	C₂³	—	2	1	no	—
1295	C₂³	—	2	1	no	—
1296	C₂³	—	2	1	no	—
1297	C₂³	—	2	1	no	—
1298	C₂³	—	2	1	no	—
1299	C₂³	—	2	1	no	—
1300	C₂³	—	2	1	no	—
1301	C₂³	—	2	1	no	—
1302	C₂³	—	2	1	no	—
1303	C₂³	—	86	1	no	—
1304	C₂³	—	86	1	no	—
1305	C₂³	—	86	1	no	—
1306	C₂³	—	86	1	no	—
1307	C₂³	—	86	1	no	—
1308	C₂³	—	86	1	no	—
1309	C₂³	—	86	1	no	—
1310	C₂³	C₂×D₄×D₄₃	1	2	yes	—
1311	C₂³	#13063372	1	2	yes	—
1312	C₂³	#13063373	1	2	yes	—
1313	C₂³	C₂⁴×D₄₃	1	1	yes	characteristic
1314	Q₈	—	8	2	no	—
1315	Q₈	—	344	2	no	—
1316	Q₈	—	344	2	no	—
1317	Q₈	—	344	2	no	—
1318	Q₈	—	344	2	no	—
1319	D₄	—	4	4	no	—
1320	D₄	—	344	2	no	—
1321	D₄	—	172	4	no	—
1322	C₂×C₄	—	2	1	no	—
1323	C₂×C₄	—	2	1	no	—
1324	C₂×C₄	—	2	1	no	—
1325	C₂×C₄	—	2	1	no	—
1326	C₂×C₄	—	2	1	no	—
1327	C₂×C₄	—	2	1	no	—
1328	C₂×C₄	—	2	1	no	—
1329	C₂×C₄	—	2	1	no	—
1330	C₂×C₄	—	2	1	no	—
1331	C₂×C₄	—	2	1	no	—
1332	C₂×C₄	—	2	1	no	—
1333	C₂×C₄	—	2	1	no	—
1334	C₂×C₄	—	2	1	no	—
1335	C₂×C₄	—	2	1	no	—
1336	C₂×C₄	—	2	1	no	—
1337	C₂×C₄	—	2	1	no	—
1338	C₂×C₄	—	2	1	no	—
1339	C₂×C₄	—	2	1	no	—
1340	C₂×C₄	—	2	1	no	—
1341	C₂×C₄	—	2	1	no	—
1342	C₂×C₄	—	2	1	no	—
1343	C₂×C₄	—	2	1	no	—
1344	C₂×C₄	—	2	1	no	—
1345	C₂×C₄	—	2	1	no	—
1346	C₂×C₄	—	2	1	no	—
1347	C₂×C₄	—	2	1	no	—
1348	C₂×C₄	—	2	1	no	—
1349	C₂×C₄	—	2	1	no	—
1350	C₂×C₄	—	2	1	no	—
1351	C₂×C₄	—	2	1	no	—
1352	C₂×C₄	—	2	1	no	—
1353	C₂×C₄	—	2	1	no	—
1354	C₂×C₄	—	2	1	no	—
1355	C₂×C₄	—	2	1	no	—
1356	C₂×C₄	—	2	1	no	—
1357	C₂×C₄	—	2	1	no	—
1358	C₂×C₄	—	4	4	no	—
1359	C₂×C₄	—	4	4	no	—
1360	C₂×C₄	—	8	2	no	—
1361	C₂×C₄	—	8	2	no	—
1362	C₂×C₄	—	43	2	no	—
1363	C₂×C₄	—	43	2	no	—
1364	C₂×C₄	—	43	2	no	—
1365	C₂×C₄	—	43	2	no	—
1366	C₂×C₄	—	43	2	no	—
1367	C₂×C₄	—	86	8	no	—
1368	C₂×C₄	—	86	1	no	—
1369	C₂×C₄	—	86	1	no	—
1370	C₂×C₄	—	86	1	no	—
1371	C₂×C₄	—	86	1	no	—
1372	C₂×C₄	—	86	1	no	—
1373	C₂×C₄	—	86	1	no	—
1374	C₂×C₄	—	86	1	no	—
1375	C₂×C₄	—	86	1	no	—
1376	C₂×C₄	—	86	1	no	—
1377	C₂×C₄	—	86	1	no	—
1378	C₂×C₄	—	86	1	no	—
1379	C₂×C₄	—	86	1	no	—
1380	C₂×C₄	—	86	1	no	—
1381	C₂×C₄	—	86	1	no	—
1382	C₂×C₄	—	86	1	no	—
1383	C₂×C₄	—	86	1	no	—
1384	C₂×C₄	—	86	1	no	—
1385	C₂×C₄	—	86	1	no	—
1386	C₂×C₄	—	86	1	no	—
1387	C₂×C₄	—	86	1	no	—
1388	C₂×C₄	—	86	1	no	—
1389	C₂×C₄	—	86	1	no	—
1390	C₂×C₄	—	86	1	no	—
1391	C₂×C₄	—	86	1	no	—
1392	C₂×C₄	—	86	1	no	—
1393	C₂×C₄	—	86	1	no	—
1394	C₂×C₄	—	86	1	no	—
1395	C₂×C₄	—	86	1	no	—
1396	C₂×C₄	—	86	1	no	—
1397	C₂×C₄	—	86	1	no	—
1398	C₂×C₄	—	86	1	no	—
1399	C₂×C₄	—	86	1	no	—
1400	C₂×C₄	—	86	1	no	—
1401	C₂×C₄	—	86	1	no	—
1402	C₂×C₄	—	86	1	no	—
1403	C₂×C₄	—	86	1	no	—
1404	C₂×C₄	—	86	1	no	—
1405	C₂×C₄	—	86	1	no	—
1406	C₂×C₄	—	86	1	no	—
1407	C₂×C₄	—	86	1	no	—
1408	C₂×C₄	—	344	2	no	—
1409	C₂×C₄	—	344	2	no	—
1410	C₂×C₄	—	172	4	no	—
1411	C₂×C₄	—	172	4	no	—
1412	C₂×C₄	C₂×D₄×D₄₃	1	2	yes	—
1413	C₂×C₄	C₂×D₄×D₄₃	1	2	yes	—
1414	C₂×C₄	#13063372	1	2	yes	—
1415	C₂²	—	2	2	no	—
1416	C₂²	—	2	2	no	—
1417	C₂²	—	2	2	no	—
1418	C₂²	—	2	2	no	—
1419	C₂²	—	2	2	no	—
1420	C₂²	—	2	2	no	—
1421	C₂²	—	4	1	no	—
1422	C₂²	—	4	1	no	—
1423	C₂²	—	4	1	no	—
1424	C₂²	—	4	1	no	—
1425	C₂²	—	4	1	no	—
1426	C₂²	—	4	1	no	—
1427	C₂²	—	4	1	no	—
1428	C₂²	—	172	1	no	—
1429	C₂²	—	172	1	no	—
1430	C₂²	—	172	1	no	—
1431	C₂²	—	172	1	no	—
1432	C₂²	—	172	1	no	—
1433	C₂²	—	172	1	no	—
1434	C₂²	—	172	1	no	—
1435	C₂²	#14583472	1	4	yes	—
1436	C₂²	C₂²×D₄×D₄₃	1	1	yes	characteristic
1437	C₂²	H(5,𝔽₂)×D₄₃	1	1	yes	characteristic
1438	C₂²	C₂×#13063372	1	1	yes	characteristic
1439	C₂²	C₂×#13063372	1	1	yes	characteristic
1440	C₂²	C₂×#13063373	1	1	yes	characteristic
1441	C₂²	#14583734	1	1	yes	characteristic
1442	C₂²	#14583735	1	1	yes	characteristic
1443	C₄	—	2	2	no	—
1444	C₄	—	2	2	no	—
1445	C₄	—	2	2	no	—
1446	C₄	—	4	1	no	—
1447	C₄	—	4	1	no	—
1448	C₄	—	4	1	no	—
1449	C₄	—	4	1	no	—
1450	C₄	—	4	1	no	—
1451	C₄	—	4	1	no	—
1452	C₄	—	4	1	no	—
1453	C₄	—	4	1	no	—
1454	C₄	—	4	1	no	—
1455	C₄	—	4	1	no	—
1456	C₄	—	86	2	no	—
1457	C₄	—	86	2	no	—
1458	C₄	—	86	2	no	—
1459	C₄	—	86	2	no	—
1460	C₄	—	86	2	no	—
1461	C₄	—	172	1	no	—
1462	C₄	—	172	1	no	—
1463	C₄	—	172	1	no	—
1464	C₄	—	172	1	no	—
1465	C₄	—	172	1	no	—
1466	C₄	—	172	1	no	—
1467	C₄	—	172	1	no	—
1468	C₄	—	172	1	no	—
1469	C₄	—	172	1	no	—
1470	C₄	—	172	1	no	—
1471	C₂	—	2	4	no	—
1472	C₂	—	8	1	no	—
1473	C₂	—	344	1	no	—
1474	C₂	C₂×#14583472	1	1	yes	characteristic
1475	C₂	#19148356	1	1	yes	characteristic
1476	C₂	#19148361	1	1	yes	characteristic
1477	C₂	#19148799	1	1	yes	characteristic
1478	C₂	#19148835	1	1	yes	characteristic
1479	C₂	#19149199	1	1	yes	characteristic
1480	C₂	#19149207	1	1	yes	characteristic

	subgroup	G/H
center, Frattini	C₂³	C₂⁴×D₄₃
commutator, socle, cosocle	C₂³×C₄₃	C₂⁵
Fitting	C₄₃×#2564	C₂
prime radical	C₂×#13063297	C₂²
hypercenter	#2564	D₄₃
hypocenter	C₄₃	#36742
LCS	G ▷ C₂³×C₄₃ ▷ C₄₃
UCS	C₁ ◁ C₂³ ◁ #2564

Complements

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

N	H ≅ G/N	type
1. C₂×#14583528	C₂	semidirect
3. #19142945	C₂	semidirect
5. #19141494	C₂	semidirect
6. #19141492	C₂	semidirect
7. #19141464	C₂	semidirect
8. #19141462	C₂	semidirect
9. #19141425	C₂	semidirect
10. #19141423	C₂	semidirect
11. #19141380	C₂	semidirect
12. #19141378	C₂	semidirect
13. #19141119	C₂	semidirect
14. #19141117	C₂	semidirect
15. #19141065	C₂	semidirect
16. #19141063	C₂	semidirect
17. #19140910	C₂	semidirect
18. #19140909	C₂	semidirect
19. #19140880	C₂	semidirect
20. #19140875	C₂	semidirect
21. #19140712	C₂	semidirect
23. #19139775	C₂	semidirect
24. #19139037	C₂	semidirect
25. #19139037	C₂	semidirect
26. #19139035	C₂	semidirect
27. #19139035	C₂	semidirect
28. #19138047	C₂	semidirect
29. #19138046	C₂	semidirect
30. C₂×#14582786	C₂	semidirect
31. C₄₃×#2564	C₂	semidirect
754. #2564	D₄₃	semidirect
929. C₄₃	#36742	semidirect

Maximal subgroups

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

subgroup	index
C₂×#14583528	2
C₂×#14583491	2
#19142945	2
#19142892	2
#19141494	2
#19141492	2
#19141464	2
#19141462	2
#19141425	2
#19141423	2
#19141380	2
#19141378	2
#19141119	2
#19141117	2
#19141065	2
#19141063	2
#19140910	2
#19140909	2
#19140880	2
#19140875	2
#19140712	2
#19140525	2
#19139775	2
#19139037	2
#19139035	2
#19138047	2
#19138046	2
C₂×#14582786	2
C₄₃×#2564	2
#36742	43