Subgroups — #25265508

Order 11008.

2522 conjugacy classes of subgroups.

The subgroup lattice has 1532 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×#14583451	C₂	1	1	yes	maximal, characteristic, complemented
2	C₂×C₄×#10621900	C₂	1	1	yes	maximal, characteristic
3	#19138466	C₂	1	1	yes	maximal, characteristic, complemented
4	#19138460	C₂	1	1	yes	maximal, characteristic, complemented
5	#19138455	C₂	1	1	yes	maximal, characteristic, complemented
6	#19138449	C₂	1	1	yes	maximal, characteristic, complemented
7	#19138442	C₂	1	1	yes	maximal, characteristic, complemented
8	#19138440	C₂	1	1	yes	maximal, characteristic, complemented
9	#19138431	C₂	1	1	yes	maximal, characteristic, complemented
10	#19138429	C₂	1	1	yes	maximal, characteristic, complemented
11	#19138425	C₂	1	1	yes	maximal, characteristic, complemented
12	#19138419	C₂	1	1	yes	maximal, characteristic, complemented
13	#19138417	C₂	1	1	yes	maximal, characteristic, complemented
14	#19138408	C₂	1	1	yes	maximal, characteristic, complemented
15	#19138406	C₂	1	1	yes	maximal, characteristic, complemented
16	#19138400	C₂	1	1	yes	maximal, characteristic, complemented
17	#19138398	C₂	1	1	yes	maximal, characteristic, complemented
18	#19137872	C₂	1	1	yes	maximal, characteristic, complemented
19	#19137870	C₂	1	1	yes	maximal, characteristic, complemented
20	#19137868	C₂	1	1	yes	maximal, characteristic, complemented
21	#19137862	C₂	1	1	yes	maximal, characteristic, complemented
22	#19137133	C₂	1	1	yes	maximal, characteristic, complemented
23	#19137129	C₂	1	1	yes	maximal, characteristic, complemented
24	#19137127	C₂	1	1	yes	maximal, characteristic, complemented
25	#19137123	C₂	1	1	yes	maximal, characteristic, complemented
26	#19137080	C₂	1	1	yes	maximal, characteristic
27	#19137080	C₂	1	1	yes	maximal, characteristic
28	#19137074	C₂	1	1	yes	maximal, characteristic, complemented
29	#19137074	C₂	1	1	yes	maximal, characteristic, complemented
30	C₂×#14582750	C₂	1	1	yes	maximal, characteristic, complemented
31	C₄₃×#2450	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂²×#10621900	C₂²	1	1	yes	characteristic
33	#14583451	—	2	8	no	—
34	C₂×#13063324	C₂²	1	1	yes	characteristic
35	C₂×#13063323	C₂²	1	1	yes	characteristic
36	C₂×#13063315	C₂²	1	1	yes	characteristic
37	C₂×#13063315	C₂²	1	1	yes	characteristic
38	C₂×#13063304	C₂²	1	1	yes	characteristic
39	C₂×#13063304	C₂²	1	1	yes	characteristic
40	C₂×#13063303	C₂²	1	1	yes	characteristic
41	C₂×#13063302	C₂²	1	1	yes	characteristic
42	C₂×#13063302	C₂²	1	1	yes	characteristic
43	C₂×#13063302	C₂²	1	1	yes	characteristic
44	C₂×#13063301	C₂²	1	1	yes	characteristic
45	C₄×#10621900	—	2	8	no	—
46	C₂×Q₈×Dic₄₃	C₂²	1	1	yes	characteristic
47	C₂×C₄×Dic₈₆	C₂²	1	1	yes	characteristic
48	C₂×#13063290	C₂²	1	1	yes	characteristic
49	C₂×#13063290	C₂²	1	1	yes	characteristic
50	C₂×#13063290	C₂²	1	1	yes	characteristic
51	C₂×#13063290	C₂²	1	1	yes	characteristic
52	C₂×D₄×Dic₄₃	C₂²	1	1	yes	characteristic
53	C₂×C₄×C₂²⋊D₄₃	C₂²	1	1	yes	characteristic
54	C₂×C₄×C₂²⋊D₄₃	C₂²	1	1	yes	characteristic
55	C₂×(C₂²⋊D₄₃)⋊C₄	C₂²	1	1	yes	characteristic
56	C₂×(C₂²⋊D₄₃)⋊C₄	C₂²	1	1	yes	characteristic
57	C₂×#13063283	C₂²	1	1	yes	characteristic
58	C₂×#13063281	C₂²	1	1	yes	characteristic
59	C₂×#13063281	C₂²	1	1	yes	characteristic
60	C₂×#13063281	C₂²	1	1	yes	characteristic
61	C₂×#13063281	C₂²	1	1	yes	characteristic
62	C₂²×Dic₄₃⋊C₄	C₂²	1	1	yes	characteristic
63	C₂²×Dic₄₃⋊C₄	C₂²	1	1	yes	characteristic
64	C₂²×C₄×Dic₄₃	C₂²	1	1	yes	characteristic
65	C₂²×C₄×Dic₄₃	C₂²	1	1	yes	characteristic
66	C₂²×C₄×Dic₄₃	C₂²	1	1	yes	characteristic
67	C₂²×C₄×Dic₄₃	C₂²	1	1	yes	characteristic
68	C₂×C₄²×D₄₃	C₂²	1	1	yes	characteristic
69	#14582841	C₂²	1	1	yes	characteristic
70	#14582840	C₂²	1	1	yes	characteristic
71	#14582839	C₂²	1	1	yes	characteristic
72	#14582835	C₂²	1	1	yes	characteristic
73	#14582835	C₂²	1	1	yes	characteristic
74	#14582834	C₂²	1	1	yes	characteristic
75	#14582834	C₂²	1	1	yes	characteristic
76	#14582833	C₂²	1	1	yes	characteristic
77	#14582833	C₂²	1	1	yes	characteristic
78	#14582833	C₂²	1	1	yes	characteristic
79	#14582833	C₂²	1	1	yes	characteristic
80	#14582832	C₂²	1	1	yes	characteristic
81	#14582832	C₂²	1	1	yes	characteristic
82	#14582829	C₂²	1	1	yes	characteristic
83	#14582823	C₂²	1	1	yes	characteristic
84	#14582823	C₂²	1	1	yes	characteristic
85	#14582822	C₂²	1	1	yes	characteristic
86	#14582822	C₂²	1	1	yes	characteristic
87	#14582822	C₂²	1	1	yes	characteristic
88	#14582821	C₂²	1	1	yes	characteristic
89	#14582821	C₂²	1	1	yes	characteristic
90	#14582820	C₂²	1	1	yes	characteristic
91	#14582819	C₂²	1	1	yes	characteristic
92	#14582819	C₂²	1	1	yes	characteristic
93	#14582818	C₂²	1	1	yes	characteristic
94	#14582812	C₂²	1	1	yes	characteristic
95	#14582812	C₂²	1	1	yes	characteristic
96	#14582811	C₂²	1	1	yes	characteristic
97	#14582804	C₂²	1	1	yes	characteristic
98	#14582803	C₂²	1	1	yes	characteristic
99	#14582803	C₂²	1	1	yes	characteristic
100	#14582803	C₂²	1	1	yes	characteristic
101	#14582803	C₂²	1	1	yes	characteristic
102	#14582803	C₂²	1	1	yes	characteristic
103	#14582803	C₂²	1	1	yes	characteristic
104	#14582799	C₂²	1	1	yes	characteristic
105	#14582799	C₂²	1	1	yes	characteristic
106	#14582799	C₂²	1	1	yes	characteristic
107	#14582799	C₂²	1	1	yes	characteristic
108	#14582797	C₂²	1	1	yes	characteristic
109	#14582796	C₂²	1	1	yes	characteristic
110	#14582796	C₂²	1	1	yes	characteristic
111	#14582796	C₂²	1	1	yes	characteristic
112	#14582796	C₂²	1	1	yes	characteristic
113	#14582796	C₂²	1	1	yes	characteristic
114	#14582795	C₂²	1	1	yes	characteristic
115	#14582794	C₂²	1	1	yes	characteristic
116	#14582794	C₂²	1	1	yes	characteristic
117	#14582794	C₂²	1	1	yes	characteristic
118	#14582794	C₂²	1	1	yes	characteristic
119	#14582794	C₂²	1	1	yes	characteristic
120	#14582786	C₂²	1	1	yes	characteristic
121	#14582786	C₂²	1	1	yes	characteristic
122	#14582784	C₂²	1	1	yes	characteristic
123	#14582783	C₂²	1	1	yes	characteristic
124	#14582781	C₂²	1	1	yes	characteristic
125	#14582781	C₂²	1	1	yes	characteristic
126	#14582780	C₂²	1	1	yes	characteristic
127	#14582779	C₂²	1	1	yes	characteristic
128	#14582779	C₂²	1	1	yes	characteristic
129	#14582778	C₂²	1	1	yes	characteristic
130	#14582778	C₂²	1	1	yes	characteristic
131	#14582776	C₂²	1	1	yes	characteristic
132	#14582776	C₂²	1	1	yes	characteristic
133	#14582774	C₂²	1	1	yes	characteristic
134	#14582774	C₂²	1	1	yes	characteristic
135	#14582773	C₂²	1	1	yes	characteristic
136	#14582773	C₂²	1	1	yes	characteristic
137	#14582773	C₂²	1	1	yes	characteristic
138	#14582772	C₂²	1	1	yes	characteristic
139	#14582772	C₂²	1	1	yes	characteristic
140	#14582772	C₂²	1	1	yes	characteristic
141	#14582771	C₂²	1	1	yes	characteristic
142	#14582771	C₂²	1	1	yes	characteristic
143	#14582771	C₂²	1	1	yes	characteristic
144	#14582771	C₂²	1	1	yes	characteristic
145	#14582770	C₂²	1	1	yes	characteristic
146	#14582758	C₂²	1	1	yes	characteristic
147	#14582757	C₂²	1	1	yes	characteristic
148	#14582756	C₂²	1	1	yes	characteristic
149	C₄⋊C₄×Dic₄₃	C₂²	1	1	yes	characteristic
150	C₄⋊C₄×Dic₄₃	C₂²	1	1	yes	characteristic
151	C₄⋊C₄×Dic₄₃	C₂²	1	1	yes	characteristic
152	C₄⋊C₄×Dic₄₃	C₂²	1	1	yes	characteristic
153	#14582750	C₂²	1	1	yes	characteristic
154	#14582750	C₂²	1	1	yes	characteristic
155	#14582750	C₂²	1	1	yes	characteristic
156	#14582750	C₂²	1	1	yes	characteristic
157	#14582750	C₂²	1	1	yes	characteristic
158	#14582750	C₂²	1	1	yes	characteristic
159	#14582750	C₂²	1	1	yes	characteristic
160	#14582750	C₂²	1	1	yes	characteristic
161	#14582750	C₂²	1	1	yes	characteristic
162	#14582750	C₂²	1	1	yes	characteristic
163	#14582750	C₂²	1	1	yes	characteristic
164	#14582750	C₂²	1	1	yes	characteristic
165	C₂²⋊C₄×Dic₄₃	C₂²	1	1	yes	characteristic
166	C₂²⋊C₄×Dic₄₃	C₂²	1	1	yes	characteristic
167	C₂²⋊C₄×Dic₄₃	C₂²	1	1	yes	characteristic
168	C₂²⋊C₄×Dic₄₃	C₂²	1	1	yes	characteristic
169	#14582746	C₂²	1	1	yes	characteristic
170	#14582746	C₂²	1	1	yes	characteristic
171	#14582746	C₂²	1	1	yes	characteristic
172	#14582746	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×#398	C₂²	1	1	yes	characteristic
178	C₄₃×#396	C₂²	1	1	yes	characteristic
179	C₄₃×#393	C₂²	1	1	yes	characteristic
180	C₄₃×#391	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×#385	C₂²	1	1	yes	characteristic
187	C₄₃×#380	C₂²	1	1	yes	characteristic
188	C₂×#95×C₄₃	C₂²	1	1	yes	characteristic
189	C₂×#10621900	—	2	4	no	—
190	C₂×#10621900	—	2	4	no	—
191	C₂×#10621900	Q₈	1	8	yes	complemented
192	C₂²×Dic₈₆	C₂³	1	1	yes	characteristic
193	C₂²×Dic₈₆	C₂³	1	1	yes	characteristic
194	C₂²×Dic₈₆	C₂³	1	1	yes	characteristic
195	C₂²×Dic₈₆	C₂³	1	1	yes	characteristic
196	C₂²×C₂²⋊D₄₃	C₂³	1	1	yes	characteristic
197	C₂²×C₂²⋊D₄₃	C₂³	1	1	yes	characteristic
198	C₂³×Dic₄₃	C₂³	1	1	yes	characteristic
199	C₂³×Dic₄₃	C₂³	1	1	yes	characteristic
200	C₂³×Dic₄₃	C₂³	1	1	yes	characteristic
201	C₂³×Dic₄₃	C₂³	1	1	yes	characteristic
202	C₂³×Dic₄₃	C₂³	1	1	yes	characteristic
203	C₂³×Dic₄₃	C₂³	1	1	yes	characteristic
204	C₂²×C₄×D₄₃	C₂³	1	1	yes	characteristic
205	C₂²×C₄×D₄₃	C₂³	1	1	yes	characteristic
206	C₂²×C₄×D₄₃	C₂³	1	1	yes	characteristic
207	#13063324	—	2	4	no	—
208	#13063323	—	2	4	no	—
209	#13063315	—	2	4	no	—
210	#13063315	—	2	4	no	—
211	#13063304	—	2	4	no	—
212	#13063304	—	2	4	no	—
213	#13063303	—	2	4	no	—
214	#13063302	—	2	4	no	—
215	#13063302	—	2	4	no	—
216	#13063302	—	2	4	no	—
217	#13063301	—	2	4	no	—
218	Q₈×Dic₄₃	—	2	4	no	—
219	C₄×Dic₈₆	—	2	4	no	—
220	#13063290	—	2	4	no	—
221	#13063290	—	2	4	no	—
222	#13063290	—	2	4	no	—
223	#13063290	—	2	4	no	—
224	D₄×Dic₄₃	—	2	4	no	—
225	C₄×C₂²⋊D₄₃	—	2	4	no	—
226	C₄×C₂²⋊D₄₃	—	2	4	no	—
227	(C₂²⋊D₄₃)⋊C₄	—	2	4	no	—
228	(C₂²⋊D₄₃)⋊C₄	—	2	4	no	—
229	#13063283	—	2	4	no	—
230	#13063281	—	2	4	no	—
231	#13063281	—	2	4	no	—
232	#13063281	—	2	4	no	—
233	#13063281	D₄	1	8	yes	—
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×Dic₄₃⋊C₄	—	2	4	no	—
243	C₂×Dic₄₃⋊C₄	—	2	4	no	—
244	C₂×Dic₄₃⋊C₄	C₂³	1	1	yes	characteristic
245	C₂×Dic₄₃⋊C₄	C₂³	1	1	yes	characteristic
246	C₂×Dic₄₃⋊C₄	C₂³	1	1	yes	characteristic
247	C₂×Dic₄₃⋊C₄	C₂³	1	1	yes	characteristic
248	C₂×Dic₄₃⋊C₄	C₂³	1	1	yes	characteristic
249	C₂×Dic₄₃⋊C₄	C₂³	1	1	yes	characteristic
250	C₂×Dic₄₃⋊C₄	C₂³	1	1	yes	characteristic
251	C₂×Dic₄₃⋊C₄	C₂³	1	1	yes	characteristic
252	C₂×Dic₄₃⋊C₄	C₂³	1	1	yes	characteristic
253	C₂×Dic₄₃⋊C₄	C₂³	1	1	yes	characteristic
254	C₂×Dic₄₃⋊C₄	C₂³	1	1	yes	characteristic
255	C₂×Dic₄₃⋊C₄	C₂³	1	1	yes	characteristic
256	C₂×Dic₄₃⋊C₄	C₂³	1	1	yes	characteristic
257	C₂×Dic₄₃⋊C₄	C₂³	1	1	yes	characteristic
258	C₂×Dic₄₃⋊C₄	C₂³	1	1	yes	characteristic
259	C₂×Dic₄₃⋊C₄	C₂³	1	1	yes	characteristic
260	C₂×Dic₄₃⋊C₄	C₂³	1	1	yes	characteristic
261	C₂×Dic₄₃⋊C₄	C₂³	1	1	yes	characteristic
262	C₂×Dic₄₃⋊C₄	C₂³	1	1	yes	characteristic
263	C₂×Dic₄₃⋊C₄	C₂³	1	1	yes	characteristic
264	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×(C₂×D₄₃)⋊C₄	C₂³	1	1	yes	characteristic
283	C₂×(C₂×D₄₃)⋊C₄	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×C₄×Dic₄₃	—	2	4	no	—
293	C₂×C₄×Dic₄₃	—	2	4	no	—
294	C₂×C₄×Dic₄₃	—	2	4	no	—
295	C₂×C₄×Dic₄₃	—	2	4	no	—
296	C₂×C₄×Dic₄₃	C₂³	1	1	yes	characteristic
297	C₂×C₄×Dic₄₃	C₂³	1	1	yes	characteristic
298	C₂×C₄×Dic₄₃	C₂³	1	1	yes	characteristic
299	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	C₂×C₄×Dic₄₃	C₂³	1	1	yes	characteristic
307	C₂×C₄×Dic₄₃	C₂³	1	1	yes	characteristic
308	C₂×C₄×Dic₄₃	C₂³	1	1	yes	characteristic
309	C₂×C₄×Dic₄₃	C₂³	1	1	yes	characteristic
310	C₂×C₄×Dic₄₃	C₂³	1	1	yes	characteristic
311	C₂×C₄×Dic₄₃	C₂³	1	1	yes	characteristic
312	C₂×C₄×Dic₄₃	C₂³	1	1	yes	characteristic
313	C₂×C₄×Dic₄₃	C₂³	1	1	yes	characteristic
314	C₂×C₄×Dic₄₃	C₂³	1	1	yes	characteristic
315	C₂×C₄×Dic₄₃	C₂³	1	1	yes	characteristic
316	C₂×C₄×Dic₄₃	C₂³	1	1	yes	characteristic
317	C₄²×D₄₃	—	2	4	no	—
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	C₄₃⋊#95	C₂³	1	1	yes	characteristic
343	C₄₃⋊#95	C₂³	1	1	yes	characteristic
344	C₄₃⋊#95	C₂³	1	1	yes	characteristic
345	C₄₃⋊#95	C₂³	1	1	yes	characteristic
346	C₂²×Q₈×C₄₃	C₂³	1	1	yes	characteristic
347	C₂²×D₄×C₄₃	C₂³	1	1	yes	characteristic
348	C₂³×C₄×C₄₃	C₂³	1	1	yes	characteristic
349	C₂³×C₄×C₄₃	C₂³	1	1	yes	characteristic
350	C₂³×C₄×C₄₃	C₂³	1	1	yes	characteristic
351	C₂³×C₄×C₄₃	C₂³	1	1	yes	characteristic
352	C₂²⋊Q₈×C₄₃	—	2	4	no	—
353	C₄×D₄×C₄₃	—	2	4	no	—
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×C₄⋊C₄×C₄₃	C₂³	1	1	yes	characteristic
359	C₂×C₄⋊C₄×C₄₃	C₂³	1	1	yes	characteristic
360	C₂×C₄⋊C₄×C₄₃	C₂³	1	1	yes	characteristic
361	C₂×C₄⋊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×C₂²⋊C₄×C₄₃	C₂³	1	1	yes	characteristic
367	C₂×C₂²⋊C₄×C₄₃	C₂³	1	1	yes	characteristic
368	C₂×C₂²⋊C₄×C₄₃	C₂³	1	1	yes	characteristic
369	C₂×C₂²⋊C₄×C₄₃	C₂³	1	1	yes	characteristic
370	C₂×C₄²×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	#95×C₄₃	C₂³	1	1	yes	characteristic
380	#95×C₄₃	C₂³	1	1	yes	characteristic
381	#95×C₄₃	C₂³	1	1	yes	characteristic
382	#95×C₄₃	C₂³	1	1	yes	characteristic
383	C₂⁴×C₄₃	C₂⁴	1	1	yes	characteristic
384	C₂⁴×C₄₃	C₂⁴	1	1	yes	characteristic
385	C₂³×D₄₃	C₂⁴	1	1	yes	characteristic
386	C₂×Q₈×C₄₃	—	2	2	no	—
387	C₂×Q₈×C₄₃	—	2	2	no	—
388	C₂×Q₈×C₄₃	—	4	1	no	—
389	C₂×D₄×C₄₃	—	2	2	no	—
390	C₂×D₄×C₄₃	—	2	2	no	—
391	C₂×D₄×C₄₃	C₂×Q₈	1	4	yes	—
392	C₂²×C₄×C₄₃	—	2	2	no	—
393	C₂²×C₄×C₄₃	—	2	2	no	—
394	C₂²×C₄×C₄₃	—	2	2	no	—
395	C₂²×C₄×C₄₃	—	2	2	no	—
396	C₂²×C₄×C₄₃	—	2	2	no	—
397	C₂²×C₄×C₄₃	—	2	2	no	—
398	C₂²×C₄×C₄₃	—	2	2	no	—
399	C₂²×C₄×C₄₃	—	4	1	no	—
400	C₂²×C₄×C₄₃	—	4	1	no	—
401	C₂²×C₄×C₄₃	—	4	1	no	—
402	C₂²×C₄×C₄₃	—	4	1	no	—
403	C₂²×C₄×C₄₃	—	4	1	no	—
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	C₂²×C₄×C₄₃	C₂⁴	1	1	yes	characteristic
414	C₂²×C₄×C₄₃	C₂⁴	1	1	yes	characteristic
415	C₂²×C₄×C₄₃	C₂⁴	1	1	yes	characteristic
416	C₂²×C₄×C₄₃	C₂⁴	1	1	yes	characteristic
417	C₂×C₂²⋊D₄₃	—	2	2	no	—
418	C₂×C₂²⋊D₄₃	—	2	2	no	—
419	C₂×C₂²⋊D₄₃	—	2	2	no	—
420	C₂×C₂²⋊D₄₃	—	2	2	no	—
421	C₂×C₂²⋊D₄₃	C₂×Q₈	1	4	yes	—
422	C₂×C₂²⋊D₄₃	C₂×Q₈	1	4	yes	—
423	C₂²×Dic₄₃	—	2	2	no	—
424	C₂²×Dic₄₃	—	2	2	no	—
425	C₂²×Dic₄₃	—	2	2	no	—
426	C₂²×Dic₄₃	—	2	2	no	—
427	C₂²×Dic₄₃	—	2	2	no	—
428	C₂²×Dic₄₃	—	2	2	no	—
429	C₂²×Dic₄₃	—	2	2	no	—
430	C₂²×Dic₄₃	—	2	2	no	—
431	C₂²×Dic₄₃	—	2	2	no	—
432	C₂²×Dic₄₃	—	2	2	no	—
433	C₂²×Dic₄₃	—	2	2	no	—
434	C₂²×Dic₄₃	—	4	1	no	—
435	C₂²×Dic₄₃	—	4	1	no	—
436	C₂²×Dic₄₃	—	4	1	no	—
437	C₂²×Dic₄₃	C₂×D₄	1	4	yes	—
438	C₂²×Dic₄₃	C₂×Q₈	1	4	yes	—
439	C₂²×Dic₄₃	C₂×Q₈	1	4	yes	—
440	C₂²×Dic₄₃	#41	1	4	yes	—
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	C₂²×Dic₄₃	C₂⁴	1	1	yes	characteristic
447	C₂²×Dic₄₃	C₂⁴	1	1	yes	characteristic
448	C₂²×Dic₄₃	C₂⁴	1	1	yes	characteristic
449	C₂²×Dic₄₃	C₂⁴	1	1	yes	characteristic
450	C₂²×Dic₄₃	C₂⁴	1	1	yes	characteristic
451	C₂²×Dic₄₃	C₂⁴	1	1	yes	characteristic
452	C₂²×Dic₄₃	C₂⁴	1	1	yes	characteristic
453	C₂²×Dic₄₃	C₂⁴	1	1	yes	characteristic
454	C₂²×Dic₄₃	C₂⁴	1	1	yes	characteristic
455	C₂²×Dic₄₃	C₂⁴	1	1	yes	characteristic
456	#10621900	—	2	32	no	—
457	C₂×C₄×D₄₃	—	2	2	no	—
458	C₂×C₄×D₄₃	—	2	2	no	—
459	C₂×C₄×D₄₃	—	2	2	no	—
460	C₂×C₄×D₄₃	—	2	2	no	—
461	C₂×C₄×D₄₃	—	2	2	no	—
462	C₂×C₄×D₄₃	—	2	2	no	—
463	C₂×C₄×D₄₃	—	4	1	no	—
464	C₂×C₄×D₄₃	—	4	1	no	—
465	C₂×C₄×D₄₃	C₂×Q₈	1	4	yes	—
466	C₂×Dic₈₆	—	2	2	no	—
467	C₂×Dic₈₆	—	2	2	no	—
468	C₂×Dic₈₆	—	2	2	no	—
469	C₂×Dic₈₆	—	2	2	no	—
470	C₂×Dic₈₆	—	2	2	no	—
471	C₂×Dic₈₆	—	2	2	no	—
472	C₂×Dic₈₆	—	2	2	no	—
473	C₂×Dic₈₆	—	2	2	no	—
474	C₂×Dic₈₆	—	4	1	no	—
475	C₂×Dic₈₆	—	4	1	no	—
476	C₂×Dic₈₆	—	4	1	no	—
477	C₂×Dic₈₆	C₂×Q₈	1	4	yes	—
478	C₄⋊C₄×C₄₃	—	2	2	no	—
479	C₄⋊C₄×C₄₃	—	2	2	no	—
480	C₄⋊C₄×C₄₃	—	2	2	no	—
481	C₄⋊C₄×C₄₃	—	2	2	no	—
482	C₄⋊C₄×C₄₃	—	2	2	no	—
483	C₄⋊C₄×C₄₃	—	4	1	no	—
484	C₄⋊C₄×C₄₃	—	4	1	no	—
485	C₄⋊C₄×C₄₃	—	4	1	no	—
486	C₂²⋊C₄×C₄₃	—	2	2	no	—
487	C₂²⋊C₄×C₄₃	—	2	2	no	—
488	C₂²⋊C₄×C₄₃	—	2	2	no	—
489	C₂²⋊C₄×C₄₃	—	2	2	no	—
490	C₂²⋊C₄×C₄₃	—	4	1	no	—
491	C₂²⋊C₄×C₄₃	—	4	1	no	—
492	C₂²⋊C₄×C₄₃	—	4	1	no	—
493	C₂²⋊C₄×C₄₃	C₂×D₄	1	4	yes	—
494	C₄²×C₄₃	—	2	2	no	—
495	C₂²⋊Dic₄₃	—	2	2	no	—
496	C₂²⋊Dic₄₃	—	2	2	no	—
497	C₂²⋊Dic₄₃	—	2	2	no	—
498	C₂²⋊Dic₄₃	—	2	2	no	—
499	C₂²⋊Dic₄₃	—	2	2	no	—
500	C₂²⋊Dic₄₃	—	2	2	no	—
501	C₂²⋊Dic₄₃	—	4	1	no	—
502	C₂²⋊Dic₄₃	C₂×D₄	1	4	yes	—
503	(C₂×D₄₃)⋊C₄	—	2	2	no	—
504	(C₂×D₄₃)⋊C₄	—	2	2	no	—
505	(C₂×D₄₃)⋊C₄	—	2	2	no	—
506	(C₂×D₄₃)⋊C₄	—	2	2	no	—
507	(C₂×D₄₃)⋊C₄	—	2	2	no	—
508	(C₂×D₄₃)⋊C₄	—	2	2	no	—
509	(C₂×D₄₃)⋊C₄	—	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	—	2	2	no	—
518	C₄⋊Dic₄₃	—	2	2	no	—
519	C₄⋊Dic₄₃	—	2	2	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	—	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	—	2	2	no	—
533	Dic₄₃⋊C₄	—	2	2	no	—
534	Dic₄₃⋊C₄	—	2	2	no	—
535	Dic₄₃⋊C₄	—	2	2	no	—
536	Dic₄₃⋊C₄	—	2	2	no	—
537	Dic₄₃⋊C₄	—	2	2	no	—
538	Dic₄₃⋊C₄	—	2	2	no	—
539	Dic₄₃⋊C₄	—	2	2	no	—
540	Dic₄₃⋊C₄	—	2	2	no	—
541	Dic₄₃⋊C₄	—	2	2	no	—
542	Dic₄₃⋊C₄	—	2	2	no	—
543	Dic₄₃⋊C₄	—	4	1	no	—
544	Dic₄₃⋊C₄	—	4	1	no	—
545	Dic₄₃⋊C₄	—	4	1	no	—
546	Dic₄₃⋊C₄	—	4	1	no	—
547	Dic₄₃⋊C₄	C₂×D₄	1	4	yes	—
548	Dic₄₃⋊C₄	C₂×D₄	1	4	yes	—
549	Dic₄₃⋊C₄	#41	1	4	yes	complemented
550	Dic₄₃⋊C₄	#41	1	4	yes	complemented
551	C₄×Dic₄₃	—	2	2	no	—
552	C₄×Dic₄₃	—	2	2	no	—
553	C₄×Dic₄₃	—	2	2	no	—
554	C₄×Dic₄₃	—	2	2	no	—
555	C₄×Dic₄₃	—	2	2	no	—
556	C₄×Dic₄₃	—	2	2	no	—
557	C₄×Dic₄₃	—	2	2	no	—
558	C₄×Dic₄₃	—	2	2	no	—
559	C₄×Dic₄₃	—	2	2	no	—
560	C₄×Dic₄₃	—	2	2	no	—
561	C₄×Dic₄₃	—	2	2	no	—
562	C₄×Dic₄₃	—	2	2	no	—
563	C₄×Dic₄₃	—	2	2	no	—
564	C₄×Dic₄₃	—	2	2	no	—
565	C₄×Dic₄₃	—	2	2	no	—
566	C₄×Dic₄₃	—	2	2	no	—
567	C₄×Dic₄₃	—	2	2	no	—
568	C₄×Dic₄₃	—	2	2	no	—
569	C₄×Dic₄₃	—	2	2	no	—
570	C₄×Dic₄₃	C₂×D₄	1	4	yes	—
571	C₄×Dic₄₃	C₂×D₄	1	4	yes	—
572	C₂³×C₄₃	—	2	1	no	—
573	C₂³×C₄₃	—	2	1	no	—
574	C₂³×C₄₃	—	2	1	no	—
575	C₂³×C₄₃	—	2	1	no	—
576	C₂³×C₄₃	—	2	1	no	—
577	C₂³×C₄₃	—	2	1	no	—
578	C₂³×C₄₃	—	2	1	no	—
579	C₂³×C₄₃	—	2	1	no	—
580	C₂³×C₄₃	—	2	1	no	—
581	C₂³×C₄₃	—	2	1	no	—
582	C₂³×C₄₃	C₂²×D₄	1	2	yes	—
583	C₂³×C₄₃	C₂²×Q₈	1	2	yes	—
584	C₂³×C₄₃	C₂²×Q₈	1	2	yes	—
585	C₂³×C₄₃	C₂×#41	1	2	yes	—
586	C₂³×C₄₃	C₂⁵	1	1	yes	characteristic
587	C₂²×D₄₃	—	2	1	no	—
588	C₂²×D₄₃	—	2	1	no	—
589	C₂²×D₄₃	—	2	1	no	—
590	C₂²×D₄₃	—	2	1	no	—
591	C₂²×D₄₃	—	2	1	no	—
592	C₂²×D₄₃	—	2	1	no	—
593	C₂²×D₄₃	C₂²×Q₈	1	2	yes	—
594	Q₈×C₄₃	—	4	4	no	—
595	D₄×C₄₃	—	2	8	no	—
596	C₂×C₄×C₄₃	—	2	1	no	—
597	C₂×C₄×C₄₃	—	2	1	no	—
598	C₂×C₄×C₄₃	—	2	1	no	—
599	C₂×C₄×C₄₃	—	2	1	no	—
600	C₂×C₄×C₄₃	—	2	1	no	—
601	C₂×C₄×C₄₃	—	2	1	no	—
602	C₂×C₄×C₄₃	—	2	1	no	—
603	C₂×C₄×C₄₃	—	2	1	no	—
604	C₂×C₄×C₄₃	—	2	1	no	—
605	C₂×C₄×C₄₃	—	2	1	no	—
606	C₂×C₄×C₄₃	—	2	1	no	—
607	C₂×C₄×C₄₃	—	2	1	no	—
608	C₂×C₄×C₄₃	—	2	1	no	—
609	C₂×C₄×C₄₃	—	2	1	no	—
610	C₂×C₄×C₄₃	—	2	1	no	—
611	C₂×C₄×C₄₃	—	2	1	no	—
612	C₂×C₄×C₄₃	—	2	1	no	—
613	C₂×C₄×C₄₃	—	2	1	no	—
614	C₂×C₄×C₄₃	—	2	1	no	—
615	C₂×C₄×C₄₃	—	2	1	no	—
616	C₂×C₄×C₄₃	—	2	1	no	—
617	C₂×C₄×C₄₃	—	2	1	no	—
618	C₂×C₄×C₄₃	—	2	1	no	—
619	C₂×C₄×C₄₃	—	2	1	no	—
620	C₂×C₄×C₄₃	—	2	1	no	—
621	C₂×C₄×C₄₃	—	2	1	no	—
622	C₂×C₄×C₄₃	—	2	1	no	—
623	C₂×C₄×C₄₃	—	2	1	no	—
624	C₂×C₄×C₄₃	—	2	1	no	—
625	C₂×C₄×C₄₃	—	2	1	no	—
626	C₂×C₄×C₄₃	—	2	1	no	—
627	C₂×C₄×C₄₃	—	2	1	no	—
628	C₂×C₄×C₄₃	—	2	1	no	—
629	C₂×C₄×C₄₃	—	2	1	no	—
630	C₂×C₄×C₄₃	—	4	4	no	—
631	C₂×C₄×C₄₃	—	4	4	no	—
632	C₂×C₄×C₄₃	—	4	4	no	—
633	C₂×C₄×C₄₃	—	4	4	no	—
634	C₂×C₄×C₄₃	C₂²×D₄	1	2	yes	—
635	C₂×C₄×C₄₃	C₂²×D₄	1	2	yes	—
636	C₂×C₄×C₄₃	C₂²×Q₈	1	2	yes	—
637	C₂×C₄×C₄₃	C₂×#41	1	2	yes	—
638	C₂×C₄×C₄₃	C₂×#41	1	2	yes	—
639	C₂²⋊D₄₃	—	2	8	no	—
640	C₂²⋊D₄₃	—	2	8	no	—
641	C₂×Dic₄₃	—	2	8	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	8	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	—	4	4	no	—
676	C₂×Dic₄₃	—	4	4	no	—
677	C₂×Dic₄₃	—	4	4	no	—
678	C₂×Dic₄₃	C₂²⋊Q₈	1	16	yes	complemented
679	C₂×Dic₄₃	C₂²×D₄	1	2	yes	—
680	C₂×Dic₄₃	C₂²×D₄	1	2	yes	—
681	C₂×Dic₄₃	C₂²×D₄	1	2	yes	—
682	C₂×Dic₄₃	C₂²×D₄	1	2	yes	—
683	C₂×Dic₄₃	C₂²×Q₈	1	2	yes	—
684	C₂×Dic₄₃	C₂²×Q₈	1	2	yes	—
685	C₂×Dic₄₃	C₂²×Q₈	1	2	yes	—
686	C₂×Dic₄₃	C₂×#41	1	2	yes	—
687	C₂×Dic₄₃	C₂×#41	1	2	yes	—
688	C₂×Dic₄₃	C₂×#41	1	2	yes	—
689	C₂×Dic₄₃	C₂×#41	1	2	yes	—
690	C₂×Dic₄₃	C₂×#41	1	2	yes	—
691	C₂×Dic₄₃	C₂×#41	1	2	yes	—
692	C₄×D₄₃	—	2	8	no	—
693	C₄×D₄₃	—	4	4	no	—
694	C₄×D₄₃	—	4	4	no	—
695	Dic₈₆	—	2	8	no	—
696	Dic₈₆	—	4	4	no	—
697	Dic₈₆	—	4	4	no	—
698	Dic₈₆	—	4	4	no	—
699	#34745	—	43	1	no	maximal, Sylow
700	C₂²×C₄₃	—	2	2	no	—
701	C₂²×C₄₃	—	2	2	no	—
702	C₂²×C₄₃	—	2	2	no	—
703	C₂²×C₄₃	—	2	2	no	—
704	C₂²×C₄₃	—	2	2	no	—
705	C₂²×C₄₃	—	2	2	no	—
706	C₂²×C₄₃	—	2	2	no	—
707	C₂²×C₄₃	—	2	2	no	—
708	C₂²×C₄₃	—	2	2	no	—
709	C₂²×C₄₃	—	4	1	no	—
710	C₂²×C₄₃	—	4	1	no	—
711	C₂²×C₄₃	—	4	1	no	—
712	C₂²×C₄₃	—	4	1	no	—
713	C₂²×C₄₃	C₂×C₂²⋊Q₈	1	4	yes	—
714	C₂²×C₄₃	C₂³×D₄	1	1	yes	characteristic
715	C₂²×C₄₃	C₂³×Q₈	1	1	yes	characteristic
716	C₂²×C₄₃	C₂²×#41	1	1	yes	characteristic
717	C₂²×C₄₃	C₂²×#41	1	1	yes	characteristic
718	C₂²×C₄₃	C₂²×#41	1	1	yes	characteristic
719	C₂²×C₄₃	#585	1	1	yes	characteristic
720	C₂²×C₄₃	#585	1	1	yes	characteristic
721	C₂×D₄₃	—	2	2	no	—
722	C₂×D₄₃	—	2	2	no	—
723	C₂×D₄₃	—	2	2	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	C₄×C₄₃	—	2	2	no	—
729	C₄×C₄₃	—	2	2	no	—
730	C₄×C₄₃	—	2	2	no	—
731	C₄×C₄₃	—	2	2	no	—
732	C₄×C₄₃	—	2	2	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	Dic₄₃	—	2	2	no	—
742	Dic₄₃	—	2	2	no	—
743	Dic₄₃	—	2	2	no	—
744	Dic₄₃	—	2	2	no	—
745	Dic₄₃	—	2	2	no	—
746	Dic₄₃	—	2	2	no	—
747	Dic₄₃	—	2	2	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	C₂×C₂²⋊Q₈	1	4	yes	—
755	Dic₄₃	C₂×C₂²⋊Q₈	1	4	yes	—
756	C₂×#533	—	43	1	no	—
757	C₂×C₄×#41	—	43	1	no	—
758	#2454	—	43	1	no	—
759	#2454	—	43	1	no	—
760	#2453	—	43	1	no	—
761	#2453	—	43	1	no	—
762	#2452	—	43	1	no	—
763	#2452	—	43	1	no	—
764	#2451	—	43	1	no	—
765	#2451	—	43	1	no	—
766	#2450	—	43	1	no	—
767	#2450	—	43	1	no	—
768	#2450	—	43	1	no	—
769	#2450	D₄₃	1	1	yes	characteristic, complemented
770	#2449	—	43	1	no	—
771	#2449	—	43	1	no	—
772	#2449	—	43	1	no	—
773	#2449	—	43	1	no	—
774	#2396	—	43	1	no	—
775	#2396	—	43	1	no	—
776	#2396	—	43	1	no	—
777	#2396	—	43	1	no	—
778	C₄×C₂²⋊Q₈	—	43	1	no	—
779	C₄×C₂²⋊Q₈	—	43	1	no	—
780	C₄×C₂²⋊Q₈	—	43	1	no	—
781	C₄×C₂²⋊Q₈	—	43	1	no	—
782	#2297	—	43	1	no	—
783	#2297	—	43	1	no	—
784	#2296	—	43	1	no	—
785	#2296	—	43	1	no	—
786	C₂×C₄×C₄⋊C₄	—	43	1	no	—
787	C₂×C₄₃	—	2	4	no	—
788	C₂×C₄₃	—	4	2	no	—
789	C₂×C₄₃	C₂²×C₂²⋊Q₈	1	1	yes	characteristic
790	C₂×C₄₃	#3444	1	1	yes	characteristic
791	C₂×C₄₃	#3455	1	1	yes	characteristic
792	C₂×C₄₃	D₄×#41	1	1	yes	characteristic
793	C₂×C₄₃	D₄×#41	1	1	yes	characteristic
794	C₂×C₄₃	Q₈×#41	1	1	yes	characteristic
795	C₂×C₄₃	Q₈×#41	1	1	yes	characteristic
796	D₄₃	—	4	2	no	—
797	C₂²×#41	—	43	1	no	—
798	#533	—	86	8	no	—
799	C₂×C₄⋊Q₈	—	43	1	no	—
800	C₂×C₄⋊Q₈	—	43	1	no	—
801	C₂×#125	—	43	1	no	—
802	C₂×#125	—	43	1	no	—
803	C₂×C₂²⋊Q₈	—	43	1	no	—
804	C₂×C₂²⋊Q₈	—	43	1	no	—
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×C₂²⋊Q₈	C₂×D₄₃	1	1	yes	characteristic
811	C₄×#41	—	86	8	no	—
812	C₂×C₄×Q₈	—	43	1	no	—
813	C₂×C₄×Q₈	—	43	1	no	—
814	C₂×C₄×Q₈	—	43	1	no	—
815	C₂×C₄×Q₈	—	43	1	no	—
816	C₂×C₄×Q₈	—	43	1	no	—
817	C₂×C₄×Q₈	—	43	1	no	—
818	C₂×C₄×D₄	—	43	1	no	—
819	C₂×C₄×D₄	—	43	1	no	—
820	C₂×C₄×D₄	—	43	1	no	—
821	C₂×C₄×D₄	—	43	1	no	—
822	C₂×C₄×D₄	—	43	1	no	—
823	C₂×C₄×D₄	C₂×D₄₃	1	1	yes	characteristic
824	C₂×#117	—	43	1	no	—
825	C₂×#117	—	43	1	no	—
826	C₂×#117	—	43	1	no	—
827	C₂×#117	—	43	1	no	—
828	C₂×#117	—	43	1	no	—
829	C₂²×C₄⋊C₄	—	43	1	no	—
830	C₂²×C₄⋊C₄	—	43	1	no	—
831	C₂²×C₄²	—	43	1	no	—
832	C₂²×C₄²	—	43	1	no	—
833	C₂²×C₄²	—	43	1	no	—
834	C₂²×C₄²	—	43	1	no	—
835	C₂²×C₄²	—	43	1	no	—
836	#400	—	43	1	no	—
837	#400	—	43	1	no	—
838	#400	—	43	1	no	—
839	#400	C₂×D₄₃	1	1	yes	characteristic
840	#399	—	43	1	no	—
841	#399	—	43	1	no	—
842	#399	—	43	1	no	—
843	#399	—	43	1	no	—
844	#398	—	43	1	no	—
845	#398	—	43	1	no	—
846	#398	—	43	1	no	—
847	#398	—	43	1	no	—
848	#398	—	43	1	no	—
849	#398	—	43	1	no	—
850	#398	—	43	1	no	—
851	#398	C₂×D₄₃	1	1	yes	characteristic
852	#396	—	43	1	no	—
853	#396	—	43	1	no	—
854	#396	—	43	1	no	—
855	#396	—	43	1	no	—
856	#396	—	43	1	no	—
857	#396	—	43	1	no	—
858	#396	—	43	1	no	—
859	#396	C₂×D₄₃	1	1	yes	characteristic
860	#395	—	43	1	no	—
861	#395	—	43	1	no	—
862	#395	—	43	1	no	—
863	#395	—	43	1	no	—
864	#393	—	43	1	no	—
865	#393	—	43	1	no	—
866	#393	—	43	1	no	—
867	#393	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	—	43	1	no	—
873	#391	—	43	1	no	—
874	#391	—	43	1	no	—
875	#391	C₂×D₄₃	1	1	yes	characteristic
876	#390	—	43	1	no	—
877	#390	—	43	1	no	—
878	#390	—	43	1	no	—
879	#390	—	43	1	no	—
880	#389	—	43	1	no	—
881	#389	—	43	1	no	—
882	#389	—	43	1	no	—
883	#389	—	43	1	no	—
884	#389	—	43	1	no	—
885	#389	—	43	1	no	—
886	#389	—	43	1	no	—
887	#389	—	43	1	no	—
888	#389	—	43	1	no	—
889	#389	—	43	1	no	—
890	#389	—	43	1	no	—
891	#389	—	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	#386	—	43	1	no	—
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	C₂×D₄₃	1	1	yes	characteristic
907	#386	C₂×D₄₃	1	1	yes	characteristic
908	#385	—	43	1	no	—
909	#385	—	43	1	no	—
910	#385	—	43	1	no	—
911	#385	—	43	1	no	—
912	#385	—	43	1	no	—
913	#385	—	43	1	no	—
914	#385	—	43	1	no	—
915	#385	—	43	1	no	—
916	#385	—	43	1	no	—
917	#385	—	43	1	no	—
918	#385	—	43	1	no	—
919	#385	—	43	1	no	—
920	#385	—	43	1	no	—
921	#385	C₂×D₄₃	1	1	yes	characteristic
922	#385	C₂×D₄₃	1	1	yes	characteristic
923	#385	C₂×D₄₃	1	1	yes	characteristic
924	#380	—	43	1	no	—
925	#380	—	43	1	no	—
926	#380	—	43	1	no	—
927	#380	C₂×D₄₃	1	1	yes	characteristic
928	C₄×C₄⋊C₄	—	43	1	no	—
929	C₄×C₄⋊C₄	—	43	1	no	—
930	C₄×C₄⋊C₄	—	43	1	no	—
931	C₄×C₄⋊C₄	—	43	1	no	—
932	C₄×C₄⋊C₄	—	43	1	no	—
933	C₄×C₄⋊C₄	—	43	1	no	—
934	C₄×C₄⋊C₄	—	43	1	no	—
935	C₄×C₄⋊C₄	—	43	1	no	—
936	C₄×C₄⋊C₄	—	43	1	no	—
937	C₄×C₄⋊C₄	—	43	1	no	—
938	C₄×C₄⋊C₄	—	43	1	no	—
939	C₄×C₄⋊C₄	—	43	1	no	—
940	C₄×C₄⋊C₄	—	43	1	no	—
941	C₄×C₄⋊C₄	—	43	1	no	—
942	C₄×C₄⋊C₄	—	43	1	no	—
943	C₄×C₄⋊C₄	—	43	1	no	—
944	C₄×C₂²⋊C₄	—	43	1	no	—
945	C₄×C₂²⋊C₄	—	43	1	no	—
946	C₄×C₂²⋊C₄	—	43	1	no	—
947	C₄×C₂²⋊C₄	—	43	1	no	—
948	C₄×C₂²⋊C₄	—	43	1	no	—
949	C₄×C₂²⋊C₄	—	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	C₂×D₄₃	1	1	yes	characteristic
954	C₄₃	#34745	1	1	yes	characteristic, complemented, Sylow
955	C₂×#41	—	43	8	no	—
956	C₂×#41	—	86	4	no	—
957	C₂×#41	—	86	4	no	—
958	C₂²×Q₈	—	43	1	no	—
959	C₂²×Q₈	—	43	1	no	—
960	C₂²×Q₈	—	43	1	no	—
961	C₂²×Q₈	—	43	1	no	—
962	C₂²×Q₈	C₂²×D₄₃	1	1	yes	characteristic
963	C₂²×D₄	—	43	1	no	—
964	C₂²×D₄	—	43	1	no	—
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	—	43	1	no	—
974	C₂³×C₄	—	43	1	no	—
975	C₂³×C₄	C₂²×D₄₃	1	1	yes	characteristic
976	C₂³×C₄	C₂²×D₄₃	1	1	yes	characteristic
977	C₂³×C₄	C₂²×D₄₃	1	1	yes	characteristic
978	C₂³×C₄	C₂²×D₄₃	1	1	yes	characteristic
979	C₄⋊Q₈	—	86	4	no	—
980	C₄⋊Q₈	—	86	4	no	—
981	#125	—	86	4	no	—
982	#125	—	86	4	no	—
983	C₂²⋊Q₈	—	2	4	no	—
984	C₂²⋊Q₈	—	86	4	no	—
985	C₂²⋊Q₈	—	86	4	no	—
986	C₂²⋊Q₈	—	86	4	no	—
987	C₂²⋊Q₈	—	86	4	no	—
988	C₂²⋊Q₈	—	86	4	no	—
989	C₂²⋊Q₈	—	86	4	no	—
990	C₂²⋊Q₈	—	86	4	no	—
991	C₄×Q₈	—	86	4	no	—
992	C₄×Q₈	—	86	4	no	—
993	C₄×Q₈	—	86	4	no	—
994	C₄×Q₈	—	86	4	no	—
995	C₄×Q₈	—	86	4	no	—
996	C₄×Q₈	—	86	4	no	—
997	C₄×D₄	—	2	4	no	—
998	C₄×D₄	—	86	4	no	—
999	C₄×D₄	—	86	4	no	—
1000	C₄×D₄	—	86	4	no	—
1001	C₄×D₄	—	86	4	no	—
1002	C₄×D₄	—	86	4	no	—
1003	#117	—	43	8	no	—
1004	#117	—	86	4	no	—
1005	#117	—	86	4	no	—
1006	#117	—	86	4	no	—
1007	#117	—	86	4	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	—	43	1	no	—
1023	C₂×C₄⋊C₄	—	43	1	no	—
1024	C₂×C₄⋊C₄	—	43	1	no	—
1025	C₂×C₄⋊C₄	—	43	1	no	—
1026	C₂×C₄⋊C₄	—	43	1	no	—
1027	C₂×C₄⋊C₄	—	43	1	no	—
1028	C₂×C₄⋊C₄	—	43	1	no	—
1029	C₂×C₄⋊C₄	—	43	1	no	—
1030	C₂×C₄⋊C₄	—	43	1	no	—
1031	C₂×C₄⋊C₄	—	43	1	no	—
1032	C₂×C₄⋊C₄	—	43	1	no	—
1033	C₂×C₄⋊C₄	—	43	1	no	—
1034	C₂×C₄⋊C₄	—	43	1	no	—
1035	C₂×C₄⋊C₄	—	43	1	no	—
1036	C₂×C₄⋊C₄	—	43	1	no	—
1037	C₂×C₄⋊C₄	—	43	1	no	—
1038	C₂×C₄⋊C₄	—	43	1	no	—
1039	C₂×C₄⋊C₄	—	43	1	no	—
1040	C₂×C₄⋊C₄	—	43	1	no	—
1041	C₂×C₄⋊C₄	—	43	1	no	—
1042	C₂×C₄⋊C₄	—	43	1	no	—
1043	C₂×C₄⋊C₄	—	43	1	no	—
1044	C₂×C₄⋊C₄	—	43	1	no	—
1045	C₂×C₄⋊C₄	—	43	1	no	—
1046	C₂×C₄⋊C₄	—	86	4	no	—
1047	C₂×C₄⋊C₄	—	86	4	no	—
1048	C₂×C₄⋊C₄	C₂²×D₄₃	1	1	yes	characteristic
1049	C₂×C₄⋊C₄	C₂²×D₄₃	1	1	yes	characteristic
1050	C₂×C₄⋊C₄	C₂²×D₄₃	1	1	yes	characteristic
1051	C₂×C₄⋊C₄	C₂²×D₄₃	1	1	yes	characteristic
1052	C₂×C₄⋊C₄	C₂²×D₄₃	1	1	yes	characteristic
1053	C₂×C₄⋊C₄	C₂²×D₄₃	1	1	yes	characteristic
1054	C₂×C₄⋊C₄	C₂²×D₄₃	1	1	yes	characteristic
1055	C₂×C₄⋊C₄	C₂²×D₄₃	1	1	yes	characteristic
1056	C₂×C₂²⋊C₄	—	43	1	no	—
1057	C₂×C₂²⋊C₄	—	43	1	no	—
1058	C₂×C₂²⋊C₄	—	43	1	no	—
1059	C₂×C₂²⋊C₄	—	43	1	no	—
1060	C₂×C₂²⋊C₄	—	43	1	no	—
1061	C₂×C₂²⋊C₄	—	43	1	no	—
1062	C₂×C₂²⋊C₄	—	43	1	no	—
1063	C₂×C₂²⋊C₄	—	43	1	no	—
1064	C₂×C₂²⋊C₄	—	43	1	no	—
1065	C₂×C₂²⋊C₄	—	43	1	no	—
1066	C₂×C₂²⋊C₄	—	43	1	no	—
1067	C₂×C₂²⋊C₄	—	43	1	no	—
1068	C₂×C₂²⋊C₄	—	43	1	no	—
1069	C₂×C₂²⋊C₄	—	43	1	no	—
1070	C₂×C₂²⋊C₄	—	43	1	no	—
1071	C₂×C₂²⋊C₄	—	43	1	no	—
1072	C₂×C₂²⋊C₄	—	43	1	no	—
1073	C₂×C₂²⋊C₄	—	43	1	no	—
1074	C₂×C₂²⋊C₄	C₂²×D₄₃	1	1	yes	characteristic
1075	C₂×C₂²⋊C₄	C₂²×D₄₃	1	1	yes	characteristic
1076	C₂×C₂²⋊C₄	C₂²×D₄₃	1	1	yes	characteristic
1077	C₂×C₂²⋊C₄	C₂²×D₄₃	1	1	yes	characteristic
1078	C₂×C₂²⋊C₄	C₂²×D₄₃	1	1	yes	characteristic
1079	C₂×C₂²⋊C₄	C₂²×D₄₃	1	1	yes	characteristic
1080	C₂×C₂²⋊C₄	C₂²×D₄₃	1	1	yes	characteristic
1081	C₂×C₂²⋊C₄	C₂²×D₄₃	1	1	yes	characteristic
1082	C₂×C₄²	—	43	1	no	—
1083	C₂×C₄²	—	43	1	no	—
1084	C₂×C₄²	—	43	1	no	—
1085	C₂×C₄²	—	43	1	no	—
1086	C₂×C₄²	—	43	1	no	—
1087	C₂×C₄²	—	43	1	no	—
1088	C₂×C₄²	—	43	1	no	—
1089	C₂×C₄²	—	43	1	no	—
1090	C₂×C₄²	—	43	1	no	—
1091	C₂×C₄²	—	43	1	no	—
1092	C₂×C₄²	—	43	1	no	—
1093	C₂×C₄²	—	43	1	no	—
1094	C₂×C₄²	—	43	1	no	—
1095	C₂×C₄²	—	43	1	no	—
1096	C₂×C₄²	—	43	1	no	—
1097	C₂×C₄²	—	43	1	no	—
1098	C₂×C₄²	—	43	1	no	—
1099	C₂×C₄²	—	43	1	no	—
1100	C₂×C₄²	—	43	1	no	—
1101	C₂×C₄²	—	43	1	no	—
1102	C₂×C₄²	—	43	1	no	—
1103	C₂×C₄²	—	86	4	no	—
1104	C₂×C₄²	—	86	4	no	—
1105	C₂×C₄²	—	86	4	no	—
1106	C₂×C₄²	—	86	4	no	—
1107	C₂×C₄²	—	86	4	no	—
1108	C₂×C₄²	C₂²×D₄₃	1	1	yes	characteristic
1109	#95	—	43	1	no	—
1110	#95	—	43	1	no	—
1111	#95	—	43	1	no	—
1112	#95	—	43	1	no	—
1113	#95	—	43	1	no	—
1114	#95	—	43	1	no	—
1115	#95	—	43	1	no	—
1116	#95	—	43	1	no	—
1117	#95	—	43	1	no	—
1118	#95	—	43	1	no	—
1119	#95	—	43	1	no	—
1120	#95	—	43	1	no	—
1121	#95	—	43	1	no	—
1122	#95	—	43	1	no	—
1123	#95	—	43	1	no	—
1124	#95	—	43	1	no	—
1125	#95	—	43	1	no	—
1126	#95	—	43	1	no	—
1127	#95	—	43	1	no	—
1128	#95	—	43	1	no	—
1129	#95	—	43	1	no	—
1130	#95	—	43	1	no	—
1131	#95	—	43	1	no	—
1132	#95	—	43	1	no	—
1133	#95	—	43	1	no	—
1134	#95	—	43	1	no	—
1135	#95	—	43	1	no	—
1136	#95	—	43	1	no	—
1137	#95	C₂²×D₄₃	1	1	yes	characteristic
1138	#95	C₂²×D₄₃	1	1	yes	characteristic
1139	#95	C₂²×D₄₃	1	1	yes	characteristic
1140	#95	C₂²×D₄₃	1	1	yes	characteristic
1141	#95	C₂²×D₄₃	1	1	yes	characteristic
1142	#95	C₂²×D₄₃	1	1	yes	characteristic
1143	#95	C₂²×D₄₃	1	1	yes	characteristic
1144	#95	C₂²×D₄₃	1	1	yes	characteristic
1145	#95	C₂²×D₄₃	1	1	yes	characteristic
1146	#95	C₂²×D₄₃	1	1	yes	characteristic
1147	#95	C₂²×D₄₃	1	1	yes	characteristic
1148	#95	C₂²×D₄₃	1	1	yes	characteristic
1149	C₂⁴	—	43	1	no	—
1150	C₂⁴	C₂³×D₄₃	1	1	yes	characteristic
1151	C₂⁴	C₂³×D₄₃	1	1	yes	characteristic
1152	#41	—	86	32	no	—
1153	C₂×Q₈	—	2	2	no	—
1154	C₂×Q₈	—	2	2	no	—
1155	C₂×Q₈	—	4	1	no	—
1156	C₂×Q₈	—	43	4	no	—
1157	C₂×Q₈	—	86	2	no	—
1158	C₂×Q₈	—	86	2	no	—
1159	C₂×Q₈	—	86	2	no	—
1160	C₂×Q₈	—	86	2	no	—
1161	C₂×Q₈	—	86	2	no	—
1162	C₂×Q₈	—	86	2	no	—
1163	C₂×Q₈	—	86	2	no	—
1164	C₂×Q₈	—	86	2	no	—
1165	C₂×Q₈	—	172	1	no	—
1166	C₂×Q₈	—	172	1	no	—
1167	C₂×Q₈	—	172	1	no	—
1168	C₂×D₄	—	2	2	no	—
1169	C₂×D₄	—	2	2	no	—
1170	C₂×D₄	—	43	4	no	—
1171	C₂×D₄	—	43	4	no	—
1172	C₂×D₄	—	86	2	no	—
1173	C₂×D₄	—	86	2	no	—
1174	C₂×D₄	—	86	2	no	—
1175	C₂×D₄	—	86	2	no	—
1176	C₂×D₄	Q₈×D₄₃	1	4	yes	—
1177	C₂²×C₄	—	2	2	no	—
1178	C₂²×C₄	—	2	2	no	—
1179	C₂²×C₄	—	2	2	no	—
1180	C₂²×C₄	—	2	2	no	—
1181	C₂²×C₄	—	2	2	no	—
1182	C₂²×C₄	—	2	2	no	—
1183	C₂²×C₄	—	2	2	no	—
1184	C₂²×C₄	—	4	1	no	—
1185	C₂²×C₄	—	4	1	no	—
1186	C₂²×C₄	—	4	1	no	—
1187	C₂²×C₄	—	4	1	no	—
1188	C₂²×C₄	—	4	1	no	—
1189	C₂²×C₄	—	43	4	no	—
1190	C₂²×C₄	—	43	4	no	—
1191	C₂²×C₄	—	43	4	no	—
1192	C₂²×C₄	—	43	1	no	—
1193	C₂²×C₄	—	43	1	no	—
1194	C₂²×C₄	—	43	4	no	—
1195	C₂²×C₄	—	43	1	no	—
1196	C₂²×C₄	—	43	1	no	—
1197	C₂²×C₄	—	43	1	no	—
1198	C₂²×C₄	—	43	1	no	—
1199	C₂²×C₄	—	43	1	no	—
1200	C₂²×C₄	—	43	1	no	—
1201	C₂²×C₄	—	43	1	no	—
1202	C₂²×C₄	—	43	4	no	—
1203	C₂²×C₄	—	43	1	no	—
1204	C₂²×C₄	—	43	1	no	—
1205	C₂²×C₄	—	43	1	no	—
1206	C₂²×C₄	—	43	1	no	—
1207	C₂²×C₄	—	43	1	no	—
1208	C₂²×C₄	—	43	1	no	—
1209	C₂²×C₄	—	86	2	no	—
1210	C₂²×C₄	—	86	2	no	—
1211	C₂²×C₄	—	86	2	no	—
1212	C₂²×C₄	—	86	2	no	—
1213	C₂²×C₄	—	86	2	no	—
1214	C₂²×C₄	—	86	2	no	—
1215	C₂²×C₄	—	86	2	no	—
1216	C₂²×C₄	—	86	2	no	—
1217	C₂²×C₄	—	86	2	no	—
1218	C₂²×C₄	—	86	2	no	—
1219	C₂²×C₄	—	86	2	no	—
1220	C₂²×C₄	—	86	2	no	—
1221	C₂²×C₄	—	86	2	no	—
1222	C₂²×C₄	—	86	2	no	—
1223	C₂²×C₄	—	86	2	no	—
1224	C₂²×C₄	—	86	2	no	—
1225	C₂²×C₄	—	86	2	no	—
1226	C₂²×C₄	—	172	1	no	—
1227	C₂²×C₄	—	172	1	no	—
1228	C₂²×C₄	—	172	1	no	—
1229	C₂²×C₄	—	172	1	no	—
1230	C₂²×C₄	—	172	1	no	—
1231	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
1232	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
1233	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
1234	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
1235	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
1236	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
1237	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
1238	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
1239	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
1240	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
1241	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
1242	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
1243	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
1244	C₄⋊C₄	—	2	2	no	—
1245	C₄⋊C₄	—	2	2	no	—
1246	C₄⋊C₄	—	2	2	no	—
1247	C₄⋊C₄	—	2	2	no	—
1248	C₄⋊C₄	—	2	2	no	—
1249	C₄⋊C₄	—	4	1	no	—
1250	C₄⋊C₄	—	4	1	no	—
1251	C₄⋊C₄	—	4	1	no	—
1252	C₄⋊C₄	—	43	4	no	—
1253	C₄⋊C₄	—	43	4	no	—
1254	C₄⋊C₄	—	43	4	no	—
1255	C₄⋊C₄	—	43	4	no	—
1256	C₄⋊C₄	—	86	2	no	—
1257	C₄⋊C₄	—	86	2	no	—
1258	C₄⋊C₄	—	86	2	no	—
1259	C₄⋊C₄	—	86	2	no	—
1260	C₄⋊C₄	—	86	2	no	—
1261	C₄⋊C₄	—	86	2	no	—
1262	C₄⋊C₄	—	86	2	no	—
1263	C₄⋊C₄	—	86	2	no	—
1264	C₄⋊C₄	—	86	2	no	—
1265	C₄⋊C₄	—	86	2	no	—
1266	C₄⋊C₄	—	86	2	no	—
1267	C₄⋊C₄	—	86	2	no	—
1268	C₄⋊C₄	—	86	2	no	—
1269	C₄⋊C₄	—	86	2	no	—
1270	C₄⋊C₄	—	86	2	no	—
1271	C₄⋊C₄	—	86	2	no	—
1272	C₄⋊C₄	—	86	2	no	—
1273	C₄⋊C₄	—	86	2	no	—
1274	C₄⋊C₄	—	86	2	no	—
1275	C₄⋊C₄	—	86	2	no	—
1276	C₄⋊C₄	—	86	2	no	—
1277	C₄⋊C₄	—	86	2	no	—
1278	C₄⋊C₄	—	86	2	no	—
1279	C₄⋊C₄	—	86	2	no	—
1280	C₄⋊C₄	—	86	2	no	—
1281	C₄⋊C₄	—	86	2	no	—
1282	C₄⋊C₄	—	86	2	no	—
1283	C₄⋊C₄	—	86	2	no	—
1284	C₄⋊C₄	—	86	2	no	—
1285	C₄⋊C₄	—	172	1	no	—
1286	C₄⋊C₄	—	172	1	no	—
1287	C₄⋊C₄	—	172	1	no	—
1288	C₄⋊C₄	—	172	1	no	—
1289	C₄⋊C₄	—	172	1	no	—
1290	C₂²⋊C₄	—	2	2	no	—
1291	C₂²⋊C₄	—	2	2	no	—
1292	C₂²⋊C₄	—	2	2	no	—
1293	C₂²⋊C₄	—	2	2	no	—
1294	C₂²⋊C₄	—	4	1	no	—
1295	C₂²⋊C₄	—	4	1	no	—
1296	C₂²⋊C₄	—	4	1	no	—
1297	C₂²⋊C₄	—	43	4	no	—
1298	C₂²⋊C₄	—	86	2	no	—
1299	C₂²⋊C₄	—	86	2	no	—
1300	C₂²⋊C₄	—	86	2	no	—
1301	C₂²⋊C₄	—	86	2	no	—
1302	C₂²⋊C₄	—	86	2	no	—
1303	C₂²⋊C₄	—	86	2	no	—
1304	C₂²⋊C₄	—	86	2	no	—
1305	C₂²⋊C₄	—	86	2	no	—
1306	C₂²⋊C₄	—	86	2	no	—
1307	C₂²⋊C₄	—	86	2	no	—
1308	C₂²⋊C₄	—	86	2	no	—
1309	C₂²⋊C₄	—	86	2	no	—
1310	C₂²⋊C₄	—	172	1	no	—
1311	C₂²⋊C₄	—	172	1	no	—
1312	C₂²⋊C₄	—	172	1	no	—
1313	C₂²⋊C₄	—	172	1	no	—
1314	C₂²⋊C₄	—	172	1	no	—
1315	C₂²⋊C₄	D₄×D₄₃	1	4	yes	—
1316	C₄²	—	2	2	no	—
1317	C₄²	—	43	4	no	—
1318	C₄²	—	43	4	no	—
1319	C₄²	—	86	2	no	—
1320	C₄²	—	86	2	no	—
1321	C₄²	—	86	2	no	—
1322	C₄²	—	86	2	no	—
1323	C₄²	—	86	2	no	—
1324	C₄²	—	86	2	no	—
1325	C₄²	—	86	2	no	—
1326	C₄²	—	86	2	no	—
1327	C₄²	—	86	2	no	—
1328	C₄²	—	86	2	no	—
1329	C₄²	—	86	2	no	—
1330	C₄²	—	86	2	no	—
1331	C₄²	—	86	2	no	—
1332	C₄²	—	86	2	no	—
1333	C₄²	—	86	2	no	—
1334	C₄²	—	86	2	no	—
1335	C₄²	—	86	2	no	—
1336	C₄²	—	86	2	no	—
1337	C₄²	—	86	2	no	—
1338	C₂³	—	2	1	no	—
1339	C₂³	—	2	1	no	—
1340	C₂³	—	2	1	no	—
1341	C₂³	—	2	1	no	—
1342	C₂³	—	2	1	no	—
1343	C₂³	—	2	1	no	—
1344	C₂³	—	2	1	no	—
1345	C₂³	—	2	1	no	—
1346	C₂³	—	2	1	no	—
1347	C₂³	—	2	1	no	—
1348	C₂³	—	43	2	no	—
1349	C₂³	—	86	1	no	—
1350	C₂³	—	86	1	no	—
1351	C₂³	—	86	1	no	—
1352	C₂³	—	86	1	no	—
1353	C₂³	—	86	1	no	—
1354	C₂³	—	86	1	no	—
1355	C₂³	C₂×D₄×D₄₃	1	2	yes	—
1356	C₂³	C₂×Q₈×D₄₃	1	2	yes	—
1357	C₂³	C₂×Q₈×D₄₃	1	2	yes	—
1358	C₂³	#41×D₄₃	1	2	yes	—
1359	C₂³	C₂⁴×D₄₃	1	1	yes	characteristic
1360	Q₈	—	4	4	no	—
1361	Q₈	—	86	8	no	—
1362	Q₈	—	172	4	no	—
1363	Q₈	—	172	4	no	—
1364	Q₈	—	172	4	no	—
1365	D₄	—	2	8	no	—
1366	D₄	—	86	8	no	—
1367	D₄	—	86	8	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	—	4	4	no	—
1403	C₂×C₄	—	4	4	no	—
1404	C₂×C₄	—	4	4	no	—
1405	C₂×C₄	—	4	4	no	—
1406	C₂×C₄	—	43	16	no	—
1407	C₂×C₄	—	43	2	no	—
1408	C₂×C₄	—	43	2	no	—
1409	C₂×C₄	—	43	2	no	—
1410	C₂×C₄	—	43	2	no	—
1411	C₂×C₄	—	43	2	no	—
1412	C₂×C₄	—	43	2	no	—
1413	C₂×C₄	—	43	2	no	—
1414	C₂×C₄	—	43	2	no	—
1415	C₂×C₄	—	43	2	no	—
1416	C₂×C₄	—	43	2	no	—
1417	C₂×C₄	—	43	2	no	—
1418	C₂×C₄	—	43	2	no	—
1419	C₂×C₄	—	43	2	no	—
1420	C₂×C₄	—	86	8	no	—
1421	C₂×C₄	—	86	8	no	—
1422	C₂×C₄	—	86	8	no	—
1423	C₂×C₄	—	86	1	no	—
1424	C₂×C₄	—	86	1	no	—
1425	C₂×C₄	—	86	1	no	—
1426	C₂×C₄	—	86	1	no	—
1427	C₂×C₄	—	86	1	no	—
1428	C₂×C₄	—	86	1	no	—
1429	C₂×C₄	—	86	1	no	—
1430	C₂×C₄	—	86	1	no	—
1431	C₂×C₄	—	86	1	no	—
1432	C₂×C₄	—	86	1	no	—
1433	C₂×C₄	—	86	1	no	—
1434	C₂×C₄	—	86	1	no	—
1435	C₂×C₄	—	86	1	no	—
1436	C₂×C₄	—	86	1	no	—
1437	C₂×C₄	—	86	1	no	—
1438	C₂×C₄	—	86	1	no	—
1439	C₂×C₄	—	86	1	no	—
1440	C₂×C₄	—	86	1	no	—
1441	C₂×C₄	—	86	1	no	—
1442	C₂×C₄	—	86	1	no	—
1443	C₂×C₄	—	86	1	no	—
1444	C₂×C₄	—	86	1	no	—
1445	C₂×C₄	—	86	1	no	—
1446	C₂×C₄	—	86	1	no	—
1447	C₂×C₄	—	86	1	no	—
1448	C₂×C₄	—	86	1	no	—
1449	C₂×C₄	—	86	1	no	—
1450	C₂×C₄	—	86	1	no	—
1451	C₂×C₄	—	86	1	no	—
1452	C₂×C₄	—	86	1	no	—
1453	C₂×C₄	—	86	1	no	—
1454	C₂×C₄	—	86	1	no	—
1455	C₂×C₄	—	172	4	no	—
1456	C₂×C₄	—	172	4	no	—
1457	C₂×C₄	—	172	4	no	—
1458	C₂×C₄	—	172	4	no	—
1459	C₂×C₄	—	172	4	no	—
1460	C₂×C₄	C₂×D₄×D₄₃	1	2	yes	—
1461	C₂×C₄	C₂×D₄×D₄₃	1	2	yes	—
1462	C₂×C₄	C₂×Q₈×D₄₃	1	2	yes	—
1463	C₂×C₄	#41×D₄₃	1	2	yes	—
1464	C₂×C₄	#41×D₄₃	1	2	yes	—
1465	C₂²	—	2	2	no	—
1466	C₂²	—	2	2	no	—
1467	C₂²	—	2	2	no	—
1468	C₂²	—	2	2	no	—
1469	C₂²	—	2	2	no	—
1470	C₂²	—	2	2	no	—
1471	C₂²	—	2	2	no	—
1472	C₂²	—	2	2	no	—
1473	C₂²	—	2	2	no	—
1474	C₂²	—	4	1	no	—
1475	C₂²	—	4	1	no	—
1476	C₂²	—	4	1	no	—
1477	C₂²	—	4	1	no	—
1478	C₂²	—	86	2	no	—
1479	C₂²	—	86	2	no	—
1480	C₂²	—	86	2	no	—
1481	C₂²	—	172	1	no	—
1482	C₂²	—	172	1	no	—
1483	C₂²	—	172	1	no	—
1484	C₂²	—	172	1	no	—
1485	C₂²	C₂²⋊Q₈×D₄₃	1	4	yes	—
1486	C₂²	C₂²×D₄×D₄₃	1	1	yes	characteristic
1487	C₂²	C₂²×Q₈×D₄₃	1	1	yes	characteristic
1488	C₂²	C₂×#41×D₄₃	1	1	yes	characteristic
1489	C₂²	C₂×#41×D₄₃	1	1	yes	characteristic
1490	C₂²	C₂×#41×D₄₃	1	1	yes	characteristic
1491	C₂²	#14583734	1	1	yes	characteristic
1492	C₂²	#14583734	1	1	yes	characteristic
1493	C₄	—	2	2	no	—
1494	C₄	—	2	2	no	—
1495	C₄	—	2	2	no	—
1496	C₄	—	2	2	no	—
1497	C₄	—	2	2	no	—
1498	C₄	—	4	1	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	—	43	4	no	—
1507	C₄	—	43	4	no	—
1508	C₄	—	86	2	no	—
1509	C₄	—	86	2	no	—
1510	C₄	—	86	2	no	—
1511	C₄	—	86	2	no	—
1512	C₄	—	86	2	no	—
1513	C₄	—	86	2	no	—
1514	C₄	—	86	2	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	C₂	—	2	4	no	—
1522	C₂	—	4	2	no	—
1523	C₂	—	172	2	no	—
1524	C₂	C₂×C₂²⋊Q₈×D₄₃	1	1	yes	characteristic
1525	C₂	#19147889	1	1	yes	characteristic
1526	C₂	#19147977	1	1	yes	characteristic
1527	C₂	#19148079	1	1	yes	characteristic
1528	C₂	#19148079	1	1	yes	characteristic
1529	C₂	#19148174	1	1	yes	characteristic
1530	C₂	#19148174	1	1	yes	characteristic

	subgroup	G/H
center, Frattini	C₂³	C₂⁴×D₄₃
commutator, socle, cosocle	C₂³×C₄₃	C₂⁵
Fitting	C₄₃×#2450	C₂
prime radical	C₂²×#10621900	C₂²
hypercenter	#2450	D₄₃
hypocenter	C₄₃	#34745
LCS	G ▷ C₂³×C₄₃ ▷ C₄₃
UCS	C₁ ◁ C₂³ ◁ #2450

Complements

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

N	H ≅ G/N	type
1. C₂×#14583451	C₂	semidirect
3. #19138466	C₂	semidirect
4. #19138460	C₂	semidirect
5. #19138455	C₂	semidirect
6. #19138449	C₂	semidirect
7. #19138442	C₂	semidirect
8. #19138440	C₂	semidirect
9. #19138431	C₂	semidirect
10. #19138429	C₂	semidirect
11. #19138425	C₂	semidirect
12. #19138419	C₂	semidirect
13. #19138417	C₂	semidirect
14. #19138408	C₂	semidirect
15. #19138406	C₂	semidirect
16. #19138400	C₂	semidirect
17. #19138398	C₂	semidirect
18. #19137872	C₂	semidirect
19. #19137870	C₂	semidirect
20. #19137868	C₂	semidirect
21. #19137862	C₂	semidirect
22. #19137133	C₂	semidirect
23. #19137129	C₂	semidirect
24. #19137127	C₂	semidirect
25. #19137123	C₂	semidirect
28. #19137074	C₂	semidirect
29. #19137074	C₂	semidirect
30. C₂×#14582750	C₂	semidirect
31. C₄₃×#2450	C₂	semidirect
191. C₂×#10621900	Q₈	semidirect
549. Dic₄₃⋊C₄	#41	semidirect
550. Dic₄₃⋊C₄	#41	semidirect
678. C₂×Dic₄₃	C₂²⋊Q₈	semidirect
769. #2450	D₄₃	semidirect
954. C₄₃	#34745	semidirect

Maximal subgroups

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

subgroup	index
C₂×#14583451	2
C₂×C₄×#10621900	2
#19138466	2
#19138460	2
#19138455	2
#19138449	2
#19138442	2
#19138440	2
#19138431	2
#19138429	2
#19138425	2
#19138419	2
#19138417	2
#19138408	2
#19138406	2
#19138400	2
#19138398	2
#19137872	2
#19137870	2
#19137868	2
#19137862	2
#19137133	2
#19137129	2
#19137127	2
#19137123	2
#19137080	2
#19137074	2
C₂×#14582750	2
C₄₃×#2450	2
#34745	43