Subgroups — C₂×#19148487 #26005086

Order 11008.

7302 conjugacy classes of subgroups.

The subgroup lattice has 1300 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#19148487	C₂	1	32	yes	maximal, direct product factor
2	C₂×#14583633	C₂	1	2	yes	maximal, complemented
3	C₂×#14583631	C₂	1	2	yes	maximal, complemented
4	C₂×#14583620	C₂	1	2	yes	maximal, complemented
5	C₂×#14583616	C₂	1	2	yes	maximal, complemented
6	C₂×#14583579	C₂	1	2	yes	maximal, complemented
7	C₂×#14583576	C₂	1	2	yes	maximal, complemented
8	C₂×#14583574	C₂	1	2	yes	maximal, complemented
9	C₂×#14583572	C₂	1	2	yes	maximal, complemented
10	C₂×#14583523	C₂	1	1	yes	maximal, characteristic, complemented
11	C₂×#14583520	C₂	1	1	yes	maximal, characteristic, complemented
12	C₂×#14583518	C₂	1	1	yes	maximal, characteristic, complemented
13	C₂×#14583472	C₂	1	1	yes	maximal, characteristic, complemented
14	C₂×#14583465	C₂	1	1	yes	maximal, characteristic
15	C₂×#14583454	C₂	1	1	yes	maximal, characteristic, complemented
16	C₂×#14583436	C₂	1	1	yes	maximal, characteristic, complemented
17	C₂×#14583435	C₂	1	1	yes	maximal, characteristic, complemented
18	C₂×#14583431	C₂	1	1	yes	maximal, characteristic, complemented
19	C₂×#14583430	C₂	1	1	yes	maximal, characteristic, complemented
20	C₂×#124×D₄₃	C₂	1	1	yes	maximal, characteristic, complemented
21	C₂×#14583375	C₂	1	1	yes	maximal, characteristic, complemented
22	C₂×#14583371	C₂	1	1	yes	maximal, characteristic, complemented
23	C₂×#14583367	C₂	1	1	yes	maximal, characteristic, complemented
24	C₂×C₄₃×#542	C₂	1	1	yes	maximal, characteristic, complemented
25	C₂²×#10621898	C₂²	1	1	yes	characteristic
26	C₂²×Q₈×D₄₃	C₂²	1	1	yes	characteristic
27	C₂²×D₄×D₄₃	C₂²	1	1	yes	characteristic
28	#14583633	C₂²	1	32	yes	complemented
29	#14583631	C₂²	1	32	yes	complemented
30	#14583620	C₂²	1	32	yes	complemented
31	#14583616	C₂²	1	32	yes	complemented
32	#14583579	C₂²	1	32	yes	complemented
33	#14583576	C₂²	1	32	yes	complemented
34	#14583574	C₂²	1	32	yes	complemented
35	#14583572	C₂²	1	32	yes	complemented
36	#14583523	C₂²	1	16	yes	complemented
37	#14583520	C₂²	1	16	yes	complemented
38	#14583518	C₂²	1	16	yes	complemented
39	#14583472	C₂²	1	16	yes	complemented
40	#14583465	C₂²	1	16	yes	—
41	#14583454	C₂²	1	16	yes	complemented
42	C₂×#13063325	C₂²	1	1	yes	characteristic, complemented
43	C₂×#13063324	C₂²	1	2	yes	complemented
44	C₂×#13063321	C₂²	1	2	yes	—
45	#14583436	C₂²	1	16	yes	complemented
46	#14583435	C₂²	1	16	yes	complemented
47	#14583431	C₂²	1	16	yes	complemented
48	#14583430	C₂²	1	16	yes	complemented
49	C₂×#13063320	C₂²	1	2	yes	complemented
50	C₂×#13063320	C₂²	1	2	yes	complemented
51	C₂×#13063320	C₂²	1	2	yes	complemented
52	C₂×#13063320	C₂²	1	2	yes	complemented
53	C₂×#13063318	C₂²	1	2	yes	complemented
54	C₂×#13063318	C₂²	1	2	yes	complemented
55	C₂×#13063318	C₂²	1	2	yes	complemented
56	C₂×#13063316	C₂²	1	1	yes	characteristic, complemented
57	C₂×#13063316	C₂²	1	1	yes	characteristic, complemented
58	C₂×#13063314	C₂²	1	1	yes	characteristic
59	C₂×#13063314	C₂²	1	2	yes	complemented
60	C₂×#13063313	C₂²	1	1	yes	characteristic
61	C₂×#13063312	C₂²	1	1	yes	characteristic
62	C₂×#13063311	C₂²	1	2	yes	—
63	C₂×#13063311	C₂²	1	2	yes	—
64	C₂×#13063311	C₂²	1	2	yes	—
65	C₂×#13063311	C₂²	1	2	yes	complemented
66	C₂×#13063311	C₂²	1	2	yes	complemented
67	C₂×#13063311	C₂²	1	2	yes	complemented
68	#124×D₄₃	C₂²	1	16	yes	complemented
69	C₂×#13063310	C₂²	1	2	yes	—
70	C₂×#13063310	C₂²	1	2	yes	complemented
71	C₂×#13063310	C₂²	1	2	yes	complemented
72	C₂×#13063309	C₂²	1	2	yes	complemented
73	C₂×#13063309	C₂²	1	2	yes	complemented
74	C₂×#13063307	C₂²	1	2	yes	—
75	C₂×#13063307	C₂²	1	2	yes	complemented
76	C₂×#13063307	C₂²	1	2	yes	complemented
77	C₂×#13063306	C₂²	1	2	yes	complemented
78	C₂×#13063305	C₂²	1	2	yes	—
79	C₂×#13063305	C₂²	1	1	yes	characteristic, complemented
80	C₂×#13063304	C₂²	1	1	yes	characteristic, complemented
81	C₂×#13063303	C₂²	1	2	yes	complemented
82	C₂×#13063302	C₂²	1	2	yes	complemented
83	C₂×#13063301	C₂²	1	2	yes	—
84	C₂×#13063301	C₂²	1	2	yes	complemented
85	C₂×#13063301	C₂²	1	1	yes	characteristic, complemented
86	C₂×#13063300	C₂²	1	1	yes	characteristic
87	C₂×#13063299	C₂²	1	1	yes	characteristic
88	C₂×#13063296	C₂²	1	1	yes	characteristic
89	C₂×#13063295	C₂²	1	2	yes	—
90	C₂×#13063293	C₂²	1	2	yes	—
91	#14583375	C₂²	1	16	yes	complemented
92	#14583371	C₂²	1	16	yes	complemented
93	#14583367	C₂²	1	16	yes	complemented
94	C₂×Q₈×Dic₄₃	C₂²	1	1	yes	characteristic, complemented
95	C₂×Q₈×Dic₄₃	C₂²	1	2	yes	complemented
96	C₂×C₄×Dic₈₆	C₂²	1	1	yes	characteristic, complemented
97	C₂×C₄×Dic₈₆	C₂²	1	2	yes	complemented
98	C₂×#13063290	C₂²	1	1	yes	characteristic, complemented
99	C₂×#13063290	C₂²	1	2	yes	complemented
100	C₂×#13063290	C₂²	1	1	yes	characteristic, complemented
101	C₂×#13063290	C₂²	1	2	yes	complemented
102	C₂×#13063290	C₂²	1	1	yes	characteristic, complemented
103	C₂×C₄×D₁₇₂	C₂²	1	1	yes	characteristic
104	C₂×C₄×D₁₇₂	C₂²	1	2	yes	complemented
105	C₂×D₄×Dic₄₃	C₂²	1	1	yes	characteristic
106	C₂×D₄×Dic₄₃	C₂²	1	2	yes	complemented
107	C₂×#13063287	C₂²	1	1	yes	characteristic
108	C₂×#13063287	C₂²	1	1	yes	characteristic
109	C₂×#13063287	C₂²	1	1	yes	characteristic
110	C₂×C₄×C₂²⋊D₄₃	C₂²	1	2	yes	—
111	C₂×C₄×C₂²⋊D₄₃	C₂²	1	2	yes	complemented
112	C₂×(C₂²⋊D₄₃)⋊C₄	C₂²	1	2	yes	—
113	C₂×(C₂²⋊D₄₃)⋊C₄	C₂²	1	1	yes	characteristic
114	C₂×(C₂²⋊D₄₃)⋊C₄	C₂²	1	1	yes	characteristic
115	C₂×(C₂²⋊D₄₃)⋊C₄	C₂²	1	2	yes	complemented
116	C₂×(C₂²⋊D₄₃)⋊C₄	C₂²	1	1	yes	characteristic, complemented
117	C₂×(C₂²⋊D₄₃)⋊C₄	C₂²	1	1	yes	characteristic, complemented
118	C₂×#13063284	C₂²	1	2	yes	complemented
119	C₂×#13063283	C₂²	1	1	yes	characteristic
120	C₂×#13063283	C₂²	1	2	yes	—
121	C₂×#13063283	C₂²	1	1	yes	characteristic
122	C₂×#13063283	C₂²	1	2	yes	complemented
123	C₂×#13063282	C₂²	1	1	yes	characteristic
124	C₂×#13063282	C₂²	1	2	yes	—
125	C₂×#13063282	C₂²	1	2	yes	complemented
126	C₂×#13063282	C₂²	1	1	yes	characteristic, complemented
127	C₂×#13063281	C₂²	1	2	yes	complemented
128	C₂²×(C₂×D₄₃)⋊C₄	C₂²	1	2	yes	—
129	C₂×C₂²⋊C₄×D₄₃	C₂²	1	2	yes	—
130	C₂×C₂²⋊C₄×D₄₃	C₂²	1	2	yes	—
131	C₂×C₂²⋊C₄×D₄₃	C₂²	1	2	yes	—
132	C₂²×C₄×Dic₄₃	C₂²	1	1	yes	characteristic, complemented
133	C₂×C₄²×D₄₃	C₂²	1	1	yes	characteristic
134	C₂×C₄²×D₄₃	C₂²	1	1	yes	characteristic, complemented
135	C₄₃×#542	C₂²	1	16	yes	complemented
136	C₂×C₄⋊Q₈×C₄₃	C₂²	1	1	yes	characteristic, complemented
137	C₂×#126×C₄₃	C₂²	1	2	yes	complemented
138	C₂×#124×C₄₃	C₂²	1	1	yes	characteristic
139	C₂×#124×C₄₃	C₂²	1	2	yes	complemented
140	C₂×#123×C₄₃	C₂²	1	2	yes	complemented
141	C₂×C₂²⋊Q₈×C₄₃	C₂²	1	2	yes	complemented
142	C₂×C₂²⋊Q₈×C₄₃	C₂²	1	1	yes	characteristic, complemented
143	C₂×#121×C₄₃	C₂²	1	1	yes	characteristic
144	C₂×C₄×Q₈×C₄₃	C₂²	1	1	yes	characteristic, complemented
145	C₂×C₄×D₄×C₄₃	C₂²	1	1	yes	characteristic
146	C₂×#117×C₄₃	C₂²	1	1	yes	characteristic, complemented
147	C₂⁴×D₄₃	C₂³	1	2	yes	—
148	C₂×#10621898	—	2	8	no	—
149	C₂×#10621898	C₂³	1	8	yes	—
150	C₂²×Dic₈₆	C₂³	1	1	yes	characteristic
151	C₂²×Dic₈₆	C₂³	1	1	yes	characteristic
152	C₂²×Dic₈₆	C₂³	1	2	yes	—
153	C₂²×Dic₈₆	C₂³	1	2	yes	—
154	C₂×Q₈×D₄₃	—	2	8	no	—
155	C₂×Q₈×D₄₃	C₂³	1	8	yes	—
156	C₂²×D₁₇₂	C₂³	1	1	yes	characteristic
157	C₂²×D₁₇₂	C₂³	1	1	yes	characteristic
158	C₂²×D₁₇₂	C₂³	1	2	yes	—
159	C₂²×C₂²⋊D₄₃	C₂³	1	1	yes	characteristic
160	C₂²×C₂²⋊D₄₃	C₂³	1	2	yes	—
161	C₂²×C₂²⋊D₄₃	C₂³	1	1	yes	characteristic
162	C₂²×C₂²⋊D₄₃	C₂³	1	2	yes	—
163	C₂²×C₂²⋊D₄₃	C₂³	1	2	yes	—
164	C₂×D₄×D₄₃	—	2	8	no	—
165	C₂×D₄×D₄₃	C₂³	1	8	yes	—
166	C₂³×Dic₄₃	C₂³	1	1	yes	characteristic
167	C₂³×Dic₄₃	C₂³	1	1	yes	characteristic
168	C₂³×Dic₄₃	C₂³	1	2	yes	—
169	C₂²×C₄×D₄₃	C₂³	1	1	yes	characteristic
170	C₂²×C₄×D₄₃	C₂³	1	2	yes	—
171	C₂²×C₄×D₄₃	C₂³	1	1	yes	characteristic
172	C₂²×C₄×D₄₃	C₂³	1	1	yes	characteristic
173	C₂²×C₄×D₄₃	C₂³	1	1	yes	characteristic
174	C₂²×C₄×D₄₃	C₂³	1	1	yes	characteristic
175	C₂²×C₄×D₄₃	C₂³	1	2	yes	—
176	C₂²×C₄×D₄₃	C₂³	1	2	yes	—
177	C₂²×C₄×D₄₃	C₂³	1	1	yes	characteristic
178	#13063325	C₂³	1	8	yes	complemented
179	#13063324	C₂³	1	16	yes	complemented
180	#13063321	C₂³	1	16	yes	—
181	#13063320	C₂³	1	16	yes	complemented
182	#13063320	C₂³	1	16	yes	complemented
183	#13063320	C₂³	1	16	yes	complemented
184	#13063320	C₂³	1	16	yes	complemented
185	#13063318	C₂³	1	16	yes	complemented
186	#13063318	C₂³	1	16	yes	complemented
187	#13063318	C₂³	1	16	yes	complemented
188	#13063316	C₂³	1	8	yes	complemented
189	#13063316	C₂³	1	8	yes	complemented
190	#13063314	C₂³	1	8	yes	—
191	#13063314	C₂³	1	16	yes	complemented
192	#13063313	C₂³	1	8	yes	—
193	#13063312	C₂³	1	8	yes	—
194	#13063311	C₂³	1	16	yes	—
195	#13063311	C₂³	1	16	yes	—
196	#13063311	C₂³	1	16	yes	—
197	#13063311	C₂³	1	16	yes	complemented
198	#13063311	C₂³	1	16	yes	complemented
199	#13063311	C₂³	1	16	yes	complemented
200	#13063310	C₂³	1	16	yes	—
201	#13063310	C₂³	1	16	yes	complemented
202	#13063310	C₂³	1	16	yes	complemented
203	#13063309	C₂³	1	16	yes	complemented
204	#13063309	C₂³	1	16	yes	complemented
205	#13063307	C₂³	1	16	yes	—
206	#13063307	C₂³	1	16	yes	complemented
207	#13063307	C₂³	1	16	yes	complemented
208	#13063306	C₂³	1	16	yes	complemented
209	#13063305	C₂³	1	16	yes	—
210	#13063305	C₂³	1	8	yes	complemented
211	#13063304	C₂³	1	8	yes	complemented
212	#13063303	C₂³	1	16	yes	complemented
213	#13063302	C₂³	1	16	yes	complemented
214	#13063301	C₂³	1	16	yes	—
215	#13063301	C₂³	1	16	yes	complemented
216	#13063301	C₂³	1	8	yes	complemented
217	#13063300	C₂³	1	8	yes	—
218	#13063299	C₂³	1	8	yes	—
219	#13063296	C₂³	1	8	yes	—
220	#13063295	C₂³	1	16	yes	—
221	#13063293	C₂³	1	16	yes	—
222	Q₈×Dic₄₃	C₂³	1	16	yes	complemented
223	Q₈×Dic₄₃	C₂³	1	8	yes	complemented
224	C₄×Dic₈₆	C₂³	1	16	yes	complemented
225	C₄×Dic₈₆	C₂³	1	8	yes	complemented
226	#13063290	C₂³	1	8	yes	complemented
227	#13063290	C₂³	1	16	yes	complemented
228	#13063290	C₂³	1	8	yes	complemented
229	#13063290	C₂³	1	16	yes	complemented
230	#13063290	C₂³	1	8	yes	complemented
231	C₄×D₁₇₂	C₂³	1	8	yes	—
232	C₄×D₁₇₂	C₂³	1	16	yes	complemented
233	D₄×Dic₄₃	C₂³	1	8	yes	—
234	D₄×Dic₄₃	C₂³	1	16	yes	complemented
235	#13063287	C₂³	1	8	yes	—
236	#13063287	C₂³	1	8	yes	—
237	#13063287	C₂³	1	8	yes	—
238	C₄×C₂²⋊D₄₃	C₂³	1	16	yes	—
239	C₄×C₂²⋊D₄₃	C₂³	1	16	yes	complemented
240	(C₂²⋊D₄₃)⋊C₄	C₂³	1	8	yes	—
241	(C₂²⋊D₄₃)⋊C₄	C₂³	1	8	yes	—
242	(C₂²⋊D₄₃)⋊C₄	C₂³	1	16	yes	—
243	(C₂²⋊D₄₃)⋊C₄	C₂³	1	16	yes	complemented
244	(C₂²⋊D₄₃)⋊C₄	C₂³	1	8	yes	complemented
245	(C₂²⋊D₄₃)⋊C₄	C₂³	1	8	yes	complemented
246	#13063284	C₂³	1	16	yes	complemented
247	#13063283	C₂³	1	16	yes	—
248	#13063283	C₂³	1	8	yes	—
249	#13063283	C₂³	1	8	yes	—
250	#13063283	C₂³	1	16	yes	complemented
251	#13063282	C₂³	1	16	yes	—
252	#13063282	C₂³	1	8	yes	—
253	#13063282	C₂³	1	16	yes	complemented
254	#13063282	C₂³	1	8	yes	complemented
255	#13063281	C₂³	1	16	yes	complemented
256	C₂×C₄⋊Dic₄₃	C₂³	1	1	yes	characteristic
257	C₂×C₄⋊Dic₄₃	C₂³	1	1	yes	characteristic
258	C₂×C₄⋊Dic₄₃	C₂³	1	2	yes	—
259	C₂×C₄⋊Dic₄₃	C₂³	1	2	yes	—
260	C₂×C₄⋊Dic₄₃	C₂³	1	2	yes	—
261	C₂×C₄⋊Dic₄₃	C₂³	1	2	yes	—
262	C₂×C₄⋊Dic₄₃	C₂³	1	2	yes	—
263	C₂×Dic₄₃⋊C₄	C₂³	1	2	yes	—
264	C₂×Dic₄₃⋊C₄	C₂³	1	2	yes	—
265	C₂×Dic₄₃⋊C₄	C₂³	1	1	yes	characteristic
266	C₂×Dic₄₃⋊C₄	C₂³	1	1	yes	characteristic
267	C₂×Dic₄₃⋊C₄	C₂³	1	2	yes	—
268	C₂×Dic₄₃⋊C₄	C₂³	1	2	yes	—
269	C₂×Dic₄₃⋊C₄	C₂³	1	1	yes	characteristic
270	C₂×Dic₄₃⋊C₄	C₂³	1	1	yes	characteristic
271	C₂×Dic₄₃⋊C₄	C₂³	1	2	yes	—
272	C₂×Dic₄₃⋊C₄	C₂³	1	2	yes	—
273	C₂×C₂²⋊Dic₄₃	C₂³	1	2	yes	—
274	C₂×C₂²⋊Dic₄₃	C₂³	1	2	yes	—
275	C₂×C₂²⋊Dic₄₃	C₂³	1	2	yes	—
276	C₂×C₂²⋊Dic₄₃	C₂³	1	2	yes	—
277	C₂×C₂²⋊Dic₄₃	C₂³	1	2	yes	—
278	C₂×(C₂×D₄₃)⋊C₄	C₂³	1	16	yes	—
279	C₂×(C₂×D₄₃)⋊C₄	C₂³	1	1	yes	characteristic
280	C₂×(C₂×D₄₃)⋊C₄	C₂³	1	2	yes	—
281	C₂×(C₂×D₄₃)⋊C₄	C₂³	1	2	yes	—
282	C₂×(C₂×D₄₃)⋊C₄	C₂³	1	2	yes	—
283	C₂×(C₂×D₄₃)⋊C₄	C₂³	1	2	yes	—
284	C₂×(C₂×D₄₃)⋊C₄	C₂³	1	2	yes	—
285	C₂×(C₂×D₄₃)⋊C₄	C₂³	1	1	yes	characteristic
286	C₂×(C₂×D₄₃)⋊C₄	C₂³	1	2	yes	—
287	C₂×(C₂×D₄₃)⋊C₄	C₂³	1	2	yes	—
288	C₂×(C₂×D₄₃)⋊C₄	C₂³	1	2	yes	—
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	2	yes	—
292	C₂×(C₂×D₄₃)⋊C₄	C₂³	1	2	yes	—
293	C₂×(C₂×D₄₃)⋊C₄	C₂³	1	2	yes	—
294	C₂×(C₂×D₄₃)⋊C₄	C₂³	1	2	yes	—
295	C₂²⋊C₄×D₄₃	C₂³	1	16	yes	—
296	C₂²⋊C₄×D₄₃	C₂³	1	16	yes	—
297	C₂²⋊C₄×D₄₃	C₂³	1	16	yes	—
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	2	yes	—
307	C₂×C₄×Dic₄₃	C₂³	1	2	yes	—
308	C₂×C₄×Dic₄₃	C₂³	1	2	yes	—
309	C₂×C₄×Dic₄₃	C₂³	1	2	yes	—
310	C₂×C₄×Dic₄₃	C₂³	1	2	yes	—
311	C₂×C₄×Dic₄₃	C₂³	1	8	yes	complemented
312	C₄²×D₄₃	C₂³	1	8	yes	—
313	C₄²×D₄₃	C₂³	1	8	yes	complemented
314	C₂²×Q₈×C₄₃	C₂³	1	1	yes	characteristic
315	C₂²×Q₈×C₄₃	C₂³	1	2	yes	—
316	C₂²×D₄×C₄₃	C₂³	1	1	yes	characteristic
317	C₂²×D₄×C₄₃	C₂³	1	2	yes	—
318	C₂³×C₄×C₄₃	C₂³	1	1	yes	characteristic
319	C₂³×C₄×C₄₃	C₂³	1	2	yes	—
320	C₄⋊Q₈×C₄₃	C₂³	1	8	yes	complemented
321	#126×C₄₃	C₂³	1	16	yes	complemented
322	#124×C₄₃	C₂³	1	8	yes	—
323	#124×C₄₃	C₂³	1	16	yes	complemented
324	#123×C₄₃	C₂³	1	16	yes	complemented
325	C₂²⋊Q₈×C₄₃	C₂³	1	16	yes	complemented
326	C₂²⋊Q₈×C₄₃	C₂³	1	8	yes	complemented
327	#121×C₄₃	C₂³	1	8	yes	—
328	C₄×Q₈×C₄₃	C₂³	1	8	yes	complemented
329	C₄×D₄×C₄₃	C₂³	1	8	yes	—
330	#117×C₄₃	C₂³	1	8	yes	complemented
331	C₂×C₄⋊C₄×C₄₃	C₂³	1	1	yes	characteristic
332	C₂×C₄⋊C₄×C₄₃	C₂³	1	1	yes	characteristic
333	C₂×C₄⋊C₄×C₄₃	C₂³	1	1	yes	characteristic
334	C₂×C₄⋊C₄×C₄₃	C₂³	1	1	yes	characteristic
335	C₂×C₄⋊C₄×C₄₃	C₂³	1	2	yes	—
336	C₂×C₄⋊C₄×C₄₃	C₂³	1	2	yes	—
337	C₂×C₄⋊C₄×C₄₃	C₂³	1	2	yes	—
338	C₂×C₂²⋊C₄×C₄₃	C₂³	1	1	yes	characteristic
339	C₂×C₂²⋊C₄×C₄₃	C₂³	1	1	yes	characteristic
340	C₂×C₂²⋊C₄×C₄₃	C₂³	1	2	yes	—
341	C₂×C₂²⋊C₄×C₄₃	C₂³	1	2	yes	—
342	C₂×C₂²⋊C₄×C₄₃	C₂³	1	2	yes	—
343	C₂×C₂²⋊C₄×C₄₃	C₂³	1	2	yes	—
344	C₂×C₂²⋊C₄×C₄₃	C₂³	1	2	yes	—
345	C₂×C₄²×C₄₃	C₂³	1	1	yes	characteristic
346	C₂×C₄²×C₄₃	C₂³	1	1	yes	characteristic
347	C₂×C₄²×C₄₃	C₂³	1	2	yes	—
348	C₂⁴×C₄₃	C₂⁴	1	2	yes	—
349	C₂⁴×C₄₃	C₂⁴	1	1	yes	characteristic
350	C₂³×D₄₃	—	2	8	no	—
351	C₂³×D₄₃	—	4	4	no	—
352	C₂³×D₄₃	—	4	4	no	—
353	C₂³×D₄₃	C₂⁴	1	2	yes	—
354	C₂³×D₄₃	C₂⁴	1	1	yes	characteristic
355	C₂³×D₄₃	C₂⁴	1	1	yes	characteristic
356	C₂³×D₄₃	C₂⁴	1	8	yes	—
357	C₂×Q₈×C₄₃	—	2	4	no	—
358	C₂×Q₈×C₄₃	—	4	4	no	—
359	C₂×Q₈×C₄₃	C₂⁴	1	4	yes	—
360	C₂×Q₈×C₄₃	C₂⁴	1	8	yes	—
361	C₂×D₄×C₄₃	—	2	4	no	—
362	C₂×D₄×C₄₃	—	4	4	no	—
363	C₂×D₄×C₄₃	C₂⁴	1	4	yes	—
364	C₂×D₄×C₄₃	C₂⁴	1	8	yes	—
365	C₂²×C₄×C₄₃	—	2	4	no	—
366	C₂²×C₄×C₄₃	—	4	4	no	—
367	C₂²×C₄×C₄₃	C₂⁴	1	1	yes	characteristic
368	C₂²×C₄×C₄₃	C₂⁴	1	1	yes	characteristic
369	C₂²×C₄×C₄₃	C₂⁴	1	2	yes	—
370	C₂²×C₄×C₄₃	C₂⁴	1	1	yes	characteristic
371	C₂²×C₄×C₄₃	C₂⁴	1	1	yes	characteristic
372	C₂²×C₄×C₄₃	C₂⁴	1	2	yes	—
373	C₂²×C₄×C₄₃	C₂⁴	1	1	yes	characteristic
374	C₂²×C₄×C₄₃	C₂⁴	1	2	yes	—
375	C₂²×C₄×C₄₃	C₂⁴	1	4	yes	—
376	C₂²×C₄×C₄₃	C₂⁴	1	8	yes	—
377	C₂²×C₄×C₄₃	C₂⁴	1	1	yes	characteristic
378	C₂×C₂²⋊D₄₃	—	2	8	no	—
379	C₂×C₂²⋊D₄₃	—	2	4	no	—
380	C₂×C₂²⋊D₄₃	—	2	4	no	—
381	C₂×C₂²⋊D₄₃	—	4	4	no	—
382	C₂×C₂²⋊D₄₃	—	4	4	no	—
383	C₂×C₂²⋊D₄₃	C₂⁴	1	4	yes	—
384	C₂×C₂²⋊D₄₃	C₂⁴	1	8	yes	—
385	C₂×C₂²⋊D₄₃	C₂⁴	1	4	yes	—
386	C₂×C₂²⋊D₄₃	C₂⁴	1	8	yes	—
387	C₂×C₂²⋊D₄₃	C₂⁴	1	8	yes	—
388	C₂²×Dic₄₃	—	4	2	no	—
389	C₂²×Dic₄₃	—	4	4	no	—
390	C₂²×Dic₄₃	—	4	2	no	—
391	C₂²×Dic₄₃	C₂⁴	1	1	yes	characteristic
392	C₂²×Dic₄₃	C₂⁴	1	1	yes	characteristic
393	C₂²×Dic₄₃	C₂⁴	1	1	yes	characteristic
394	C₂²×Dic₄₃	C₂⁴	1	1	yes	characteristic
395	C₂²×Dic₄₃	C₂⁴	1	2	yes	—
396	C₂²×Dic₄₃	C₂⁴	1	2	yes	—
397	C₂²×Dic₄₃	C₂⁴	1	1	yes	characteristic
398	C₂²×Dic₄₃	C₂⁴	1	2	yes	—
399	C₂²×Dic₄₃	C₂⁴	1	4	yes	—
400	C₂²×Dic₄₃	C₂⁴	1	4	yes	—
401	C₂²×Dic₄₃	C₂⁴	1	8	yes	—
402	C₂²×Dic₄₃	C₂⁴	1	1	yes	characteristic
403	Q₈×D₄₃	—	2	32	no	—
404	D₄×D₄₃	—	2	32	no	—
405	#10621898	—	2	32	no	—
406	C₂×D₁₇₂	—	2	4	no	—
407	C₂×D₁₇₂	—	2	4	no	—
408	C₂×D₁₇₂	—	4	4	no	—
409	C₂×D₁₇₂	C₂⁴	1	4	yes	—
410	C₂×D₁₇₂	C₂⁴	1	4	yes	—
411	C₂×D₁₇₂	C₂⁴	1	8	yes	—
412	C₂×C₄×D₄₃	—	2	4	no	—
413	C₂×C₄×D₄₃	—	2	8	no	—
414	C₂×C₄×D₄₃	—	4	2	no	—
415	C₂×C₄×D₄₃	—	4	2	no	—
416	C₂×C₄×D₄₃	—	4	2	no	—
417	C₂×C₄×D₄₃	—	4	4	no	—
418	C₂×C₄×D₄₃	—	4	2	no	—
419	C₂×C₄×D₄₃	—	4	4	no	—
420	C₂×C₄×D₄₃	#41	1	8	yes	—
421	C₂×C₄×D₄₃	C₂⁴	1	4	yes	—
422	C₂×C₄×D₄₃	C₂⁴	1	8	yes	—
423	C₂×C₄×D₄₃	C₂⁴	1	4	yes	—
424	C₂×C₄×D₄₃	C₂⁴	1	4	yes	—
425	C₂×C₄×D₄₃	C₂⁴	1	4	yes	—
426	C₂×C₄×D₄₃	C₂⁴	1	4	yes	—
427	C₂×C₄×D₄₃	C₂⁴	1	8	yes	—
428	C₂×C₄×D₄₃	C₂⁴	1	8	yes	—
429	C₂×C₄×D₄₃	C₂⁴	1	4	yes	—
430	C₂×Dic₈₆	—	2	4	no	—
431	C₂×Dic₈₆	—	2	8	no	—
432	C₂×Dic₈₆	—	2	4	no	—
433	C₂×Dic₈₆	—	4	4	no	—
434	C₂×Dic₈₆	C₂⁴	1	4	yes	—
435	C₂×Dic₈₆	C₂⁴	1	4	yes	—
436	C₂×Dic₈₆	C₂⁴	1	8	yes	—
437	C₂×Dic₈₆	C₂⁴	1	8	yes	—
438	C₄⋊C₄×C₄₃	C₂⁴	1	4	yes	—
439	C₄⋊C₄×C₄₃	C₂⁴	1	4	yes	—
440	C₄⋊C₄×C₄₃	C₂⁴	1	4	yes	—
441	C₄⋊C₄×C₄₃	C₂⁴	1	4	yes	—
442	C₄⋊C₄×C₄₃	C₂⁴	1	8	yes	—
443	C₄⋊C₄×C₄₃	C₂⁴	1	8	yes	—
444	C₄⋊C₄×C₄₃	C₂⁴	1	8	yes	—
445	C₂²⋊C₄×C₄₃	C₂⁴	1	4	yes	—
446	C₂²⋊C₄×C₄₃	C₂⁴	1	4	yes	—
447	C₂²⋊C₄×C₄₃	C₂⁴	1	8	yes	—
448	C₂²⋊C₄×C₄₃	C₂⁴	1	8	yes	—
449	C₂²⋊C₄×C₄₃	C₂⁴	1	8	yes	—
450	C₂²⋊C₄×C₄₃	C₂⁴	1	8	yes	—
451	C₂²⋊C₄×C₄₃	C₂⁴	1	8	yes	—
452	C₄²×C₄₃	C₂⁴	1	4	yes	—
453	C₄²×C₄₃	C₂⁴	1	4	yes	—
454	C₄²×C₄₃	C₂⁴	1	8	yes	—
455	C₂²⋊Dic₄₃	C₂⁴	1	8	yes	—
456	C₂²⋊Dic₄₃	C₂⁴	1	8	yes	—
457	C₂²⋊Dic₄₃	C₂⁴	1	8	yes	—
458	C₂²⋊Dic₄₃	C₂⁴	1	8	yes	—
459	C₂²⋊Dic₄₃	C₂⁴	1	8	yes	—
460	(C₂×D₄₃)⋊C₄	C₂⁴	1	4	yes	—
461	(C₂×D₄₃)⋊C₄	C₂⁴	1	8	yes	—
462	(C₂×D₄₃)⋊C₄	C₂⁴	1	8	yes	—
463	(C₂×D₄₃)⋊C₄	C₂⁴	1	8	yes	—
464	(C₂×D₄₃)⋊C₄	C₂⁴	1	8	yes	—
465	(C₂×D₄₃)⋊C₄	C₂⁴	1	8	yes	—
466	(C₂×D₄₃)⋊C₄	C₂⁴	1	4	yes	—
467	(C₂×D₄₃)⋊C₄	C₂⁴	1	8	yes	—
468	(C₂×D₄₃)⋊C₄	C₂⁴	1	8	yes	—
469	(C₂×D₄₃)⋊C₄	C₂⁴	1	8	yes	—
470	(C₂×D₄₃)⋊C₄	C₂⁴	1	4	yes	—
471	(C₂×D₄₃)⋊C₄	C₂⁴	1	4	yes	—
472	(C₂×D₄₃)⋊C₄	C₂⁴	1	8	yes	—
473	(C₂×D₄₃)⋊C₄	C₂⁴	1	8	yes	—
474	(C₂×D₄₃)⋊C₄	C₂⁴	1	8	yes	—
475	(C₂×D₄₃)⋊C₄	C₂⁴	1	8	yes	—
476	C₄⋊Dic₄₃	C₂⁴	1	4	yes	—
477	C₄⋊Dic₄₃	C₂⁴	1	4	yes	—
478	C₄⋊Dic₄₃	C₂⁴	1	8	yes	—
479	C₄⋊Dic₄₃	C₂⁴	1	8	yes	—
480	C₄⋊Dic₄₃	C₂⁴	1	8	yes	—
481	C₄⋊Dic₄₃	C₂⁴	1	8	yes	—
482	C₄⋊Dic₄₃	C₂⁴	1	8	yes	—
483	Dic₄₃⋊C₄	C₂⁴	1	8	yes	—
484	Dic₄₃⋊C₄	C₂⁴	1	8	yes	—
485	Dic₄₃⋊C₄	C₂⁴	1	4	yes	—
486	Dic₄₃⋊C₄	C₂⁴	1	4	yes	—
487	Dic₄₃⋊C₄	C₂⁴	1	8	yes	—
488	Dic₄₃⋊C₄	C₂⁴	1	8	yes	—
489	Dic₄₃⋊C₄	C₂⁴	1	4	yes	—
490	Dic₄₃⋊C₄	C₂⁴	1	4	yes	—
491	Dic₄₃⋊C₄	C₂⁴	1	8	yes	—
492	Dic₄₃⋊C₄	C₂⁴	1	8	yes	—
493	C₄×Dic₄₃	C₂⁴	1	4	yes	—
494	C₄×Dic₄₃	C₂⁴	1	4	yes	—
495	C₄×Dic₄₃	C₂⁴	1	4	yes	—
496	C₄×Dic₄₃	C₂⁴	1	4	yes	—
497	C₄×Dic₄₃	C₂⁴	1	4	yes	—
498	C₄×Dic₄₃	C₂⁴	1	4	yes	—
499	C₄×Dic₄₃	C₂⁴	1	4	yes	—
500	C₄×Dic₄₃	C₂⁴	1	4	yes	—
501	C₄×Dic₄₃	C₂⁴	1	8	yes	—
502	C₄×Dic₄₃	C₂⁴	1	8	yes	—
503	C₄×Dic₄₃	C₂⁴	1	8	yes	—
504	C₄×Dic₄₃	C₂⁴	1	8	yes	—
505	C₄×Dic₄₃	C₂⁴	1	8	yes	—
506	C₂³×C₄₃	—	2	2	no	—
507	C₂³×C₄₃	—	2	4	no	—
508	C₂³×C₄₃	—	2	2	no	—
509	C₂³×C₄₃	—	2	4	no	—
510	C₂³×C₄₃	—	2	2	no	—
511	C₂³×C₄₃	—	2	4	no	—
512	C₂³×C₄₃	C₂⁵	1	4	yes	—
513	C₂³×C₄₃	C₂⁵	1	2	yes	—
514	C₂³×C₄₃	C₂⁵	1	1	yes	characteristic
515	C₂²×D₄₃	—	2	2	no	—
516	C₂²×D₄₃	—	2	2	no	—
517	C₂²×D₄₃	—	2	2	no	—
518	C₂²×D₄₃	—	2	4	no	—
519	C₂²×D₄₃	—	2	2	no	—
520	C₂²×D₄₃	—	2	4	no	—
521	C₂²×D₄₃	—	2	2	no	—
522	C₂²×D₄₃	—	2	4	no	—
523	C₂²×D₄₃	—	2	16	no	—
524	C₂²×D₄₃	—	4	8	no	—
525	C₂²×D₄₃	—	4	8	no	—
526	C₂²×D₄₃	—	8	16	no	—
527	C₂²×D₄₃	C₂×#41	1	4	yes	—
528	C₂²×D₄₃	C₂⁵	1	4	yes	—
529	C₂²×D₄₃	C₂⁵	1	2	yes	—
530	C₂²×D₄₃	C₂⁵	1	2	yes	—
531	Q₈×C₄₃	—	2	8	no	—
532	Q₈×C₄₃	—	4	8	no	—
533	D₄×C₄₃	—	2	8	no	—
534	D₄×C₄₃	—	4	8	no	—
535	C₂×C₄×C₄₃	—	2	4	no	—
536	C₂×C₄×C₄₃	—	2	2	no	—
537	C₂×C₄×C₄₃	—	2	2	no	—
538	C₂×C₄×C₄₃	—	2	2	no	—
539	C₂×C₄×C₄₃	—	2	2	no	—
540	C₂×C₄×C₄₃	—	2	4	no	—
541	C₂×C₄×C₄₃	—	2	2	no	—
542	C₂×C₄×C₄₃	—	2	4	no	—
543	C₂×C₄×C₄₃	—	2	8	no	—
544	C₂×C₄×C₄₃	—	4	8	no	—
545	C₂×C₄×C₄₃	C₂×#41	1	4	yes	—
546	C₂×C₄×C₄₃	C₂⁵	1	2	yes	—
547	C₂×C₄×C₄₃	C₂⁵	1	4	yes	—
548	C₂×C₄×C₄₃	C₂⁵	1	2	yes	—
549	C₂×C₄×C₄₃	C₂⁵	1	2	yes	—
550	C₂×C₄×C₄₃	C₂⁵	1	2	yes	—
551	C₂×C₄×C₄₃	C₂⁵	1	4	yes	—
552	C₂×C₄×C₄₃	C₂⁵	1	4	yes	—
553	C₂×C₄×C₄₃	C₂⁵	1	2	yes	—
554	C₂×C₄×C₄₃	C₂⁵	1	2	yes	—
555	C₂²⋊D₄₃	—	2	8	no	—
556	C₂²⋊D₄₃	—	2	8	no	—
557	C₂²⋊D₄₃	—	2	16	no	—
558	C₂²⋊D₄₃	—	4	8	no	—
559	C₂²⋊D₄₃	—	4	8	no	—
560	C₂×Dic₄₃	—	2	4	no	—
561	C₂×Dic₄₃	—	2	2	no	—
562	C₂×Dic₄₃	—	2	4	no	—
563	C₂×Dic₄₃	—	2	4	no	—
564	C₂×Dic₄₃	—	2	2	no	—
565	C₂×Dic₄₃	—	2	2	no	—
566	C₂×Dic₄₃	—	2	2	no	—
567	C₂×Dic₄₃	—	2	2	no	—
568	C₂×Dic₄₃	—	4	8	no	—
569	C₂×Dic₄₃	—	4	4	no	—
570	C₂×Dic₄₃	—	4	4	no	—
571	C₂×Dic₄₃	C₂×#41	1	4	yes	—
572	C₂×Dic₄₃	C₂⁵	1	2	yes	—
573	C₂×Dic₄₃	C₂⁵	1	2	yes	—
574	C₂×Dic₄₃	C₂⁵	1	2	yes	—
575	C₂×Dic₄₃	C₂⁵	1	2	yes	—
576	C₂×Dic₄₃	C₂⁵	1	4	yes	—
577	C₂×Dic₄₃	C₂⁵	1	2	yes	—
578	C₂×Dic₄₃	C₂⁵	1	4	yes	—
579	C₂×Dic₄₃	C₂⁵	1	4	yes	—
580	C₂×Dic₄₃	C₂⁵	1	2	yes	—
581	D₁₇₂	—	2	8	no	—
582	D₁₇₂	—	2	8	no	—
583	D₁₇₂	—	4	8	no	—
584	C₄×D₄₃	—	2	16	no	—
585	C₄×D₄₃	—	2	8	no	—
586	C₄×D₄₃	—	4	8	no	—
587	C₄×D₄₃	—	4	4	no	—
588	C₄×D₄₃	—	4	4	no	—
589	C₄×D₄₃	—	4	4	no	—
590	C₄×D₄₃	—	4	8	no	—
591	C₄×D₄₃	—	4	4	no	—
592	C₄×D₄₃	C₂×#41	1	16	yes	—
593	Dic₈₆	—	2	8	no	—
594	Dic₈₆	—	2	8	no	—
595	Dic₈₆	—	2	16	no	—
596	Dic₈₆	—	4	8	no	—
597	C₂×#3510	—	43	1	no	maximal, Sylow
598	C₂²×C₄₃	—	2	4	no	—
599	C₂²×C₄₃	—	2	2	no	—
600	C₂²×C₄₃	—	2	4	no	—
601	C₂²×C₄₃	—	2	4	no	—
602	C₂²×C₄₃	—	2	2	no	—
603	C₂²×C₄₃	—	2	2	no	—
604	C₂²×C₄₃	—	4	8	no	—
605	C₂²×C₄₃	—	4	4	no	—
606	C₂²×C₄₃	C₂²×#41	1	2	yes	—
607	C₂²×C₄₃	#585	1	2	yes	—
608	C₂²×C₄₃	#585	1	2	yes	—
609	C₂²×C₄₃	C₂⁶	1	1	yes	characteristic
610	C₂×D₄₃	—	2	2	no	—
611	C₂×D₄₃	—	2	2	no	—
612	C₂×D₄₃	—	2	8	no	—
613	C₂×D₄₃	—	2	4	no	—
614	C₂×D₄₃	—	2	2	no	—
615	C₂×D₄₃	—	2	4	no	—
616	C₂×D₄₃	—	2	4	no	—
617	C₂×D₄₃	—	2	2	no	—
618	C₂×D₄₃	—	2	2	no	—
619	C₂×D₄₃	—	4	4	no	—
620	C₂×D₄₃	—	4	8	no	—
621	C₂×D₄₃	—	8	16	no	—
622	C₂×D₄₃	C₂²×#41	1	4	yes	—
623	C₄×C₄₃	—	2	4	no	—
624	C₄×C₄₃	—	2	2	no	—
625	C₄×C₄₃	—	2	2	no	—
626	C₄×C₄₃	—	2	2	no	—
627	C₄×C₄₃	—	2	2	no	—
628	C₄×C₄₃	—	2	4	no	—
629	C₄×C₄₃	—	2	2	no	—
630	C₄×C₄₃	—	2	4	no	—
631	C₄×C₄₃	C₂²×#41	1	4	yes	—
632	Dic₄₃	—	2	4	no	—
633	Dic₄₃	—	2	2	no	—
634	Dic₄₃	—	2	4	no	—
635	Dic₄₃	—	2	4	no	—
636	Dic₄₃	—	2	2	no	—
637	Dic₄₃	—	2	2	no	—
638	Dic₄₃	—	2	2	no	—
639	Dic₄₃	—	2	2	no	—
640	Dic₄₃	C₂²×#41	1	4	yes	—
641	#3510	—	43	32	no	—
642	C₂×#559	—	43	2	no	—
643	C₂×#559	—	43	2	no	—
644	C₂×#556	—	43	2	no	—
645	C₂×#556	—	43	2	no	—
646	C₂×#551	—	43	2	no	—
647	C₂×#551	—	43	2	no	—
648	C₂×#551	—	43	2	no	—
649	C₂×#551	—	43	2	no	—
650	C₂×#542	—	43	1	no	—
651	C₂×#542	—	43	1	no	—
652	C₂×#542	—	43	1	no	—
653	C₂×#542	D₄₃	1	1	yes	characteristic, complemented
654	C₂×#536	—	43	1	no	—
655	C₂×#535	—	43	1	no	—
656	C₂×#533	—	43	1	no	—
657	C₂×#529	—	43	1	no	—
658	C₂×#529	—	43	1	no	—
659	C₂×#529	—	43	1	no	—
660	C₂×#529	—	43	1	no	—
661	C₂²×#124	—	43	1	no	—
662	C₂×#519	—	43	1	no	—
663	C₂×#518	—	43	1	no	—
664	C₂×C₄×#41	—	43	1	no	—
665	C₂×C₄₃	—	4	4	no	—
666	C₂×C₄₃	—	4	2	no	—
667	C₂×C₄₃	#3510	1	4	yes	complemented
668	C₂×C₄₃	C₂³×#41	1	1	yes	characteristic
669	C₂×C₄₃	C₂×#585	1	1	yes	characteristic
670	C₂×C₄₃	C₂×#585	1	1	yes	characteristic
671	D₄₃	—	2	4	no	—
672	D₄₃	—	4	2	no	—
673	D₄₃	—	4	4	no	—
674	C₂²×#41	—	43	1	no	—
675	C₂³×Q₈	—	43	1	no	—
676	C₂³×D₄	—	43	1	no	—
677	#559	—	43	32	no	—
678	#559	—	43	32	no	—
679	#556	—	43	32	no	—
680	#556	—	43	32	no	—
681	#551	—	43	32	no	—
682	#551	—	43	32	no	—
683	#551	—	43	32	no	—
684	#551	—	43	32	no	—
685	#542	—	43	16	no	—
686	#542	—	43	16	no	—
687	#542	—	43	16	no	—
688	#542	C₂×D₄₃	1	16	yes	complemented
689	#536	—	43	16	no	—
690	#535	—	43	16	no	—
691	#533	—	43	16	no	—
692	C₂×C₄⋊Q₈	—	43	2	no	—
693	C₂×C₄⋊Q₈	—	43	1	no	—
694	C₂×C₄⋊Q₈	C₂×D₄₃	1	1	yes	characteristic, complemented
695	C₂×#127	—	43	2	no	—
696	#529	—	43	16	no	—
697	#529	—	43	16	no	—
698	#529	—	43	16	no	—
699	#529	—	43	16	no	—
700	C₂×#126	—	43	2	no	—
701	C₂×#126	—	43	2	no	—
702	C₂×#126	—	43	2	no	—
703	C₂×#126	—	43	2	no	—
704	C₂×#126	—	43	2	no	—
705	C₂×#126	—	43	2	no	—
706	C₂×#126	—	43	2	no	—
707	C₂×#126	C₂×D₄₃	1	2	yes	complemented
708	C₂×#125	—	43	1	no	—
709	C₂×#125	—	43	1	no	—
710	C₂×#124	—	43	1	no	—
711	C₂×#124	—	43	2	no	—
712	C₂×#124	—	43	1	no	—
713	C₂×#124	—	43	16	no	—
714	C₂×#124	—	43	2	no	—
715	C₂×#124	—	43	2	no	—
716	C₂×#124	—	43	2	no	—
717	C₂×#124	—	43	2	no	—
718	C₂×#124	—	43	2	no	—
719	C₂×#124	—	43	2	no	—
720	C₂×#124	—	43	1	no	—
721	C₂×#124	C₂×D₄₃	1	1	yes	characteristic
722	C₂×#124	C₂×D₄₃	1	2	yes	complemented
723	C₂×#123	—	43	2	no	—
724	C₂×#123	—	43	2	no	—
725	C₂×#123	—	43	2	no	—
726	C₂×#123	—	43	2	no	—
727	C₂×#123	—	43	2	no	—
728	C₂×#123	—	43	2	no	—
729	C₂×#123	—	43	2	no	—
730	C₂×#123	—	43	2	no	—
731	C₂×#123	—	43	2	no	—
732	C₂×#123	C₂×D₄₃	1	2	yes	complemented
733	C₂×C₂²⋊Q₈	—	43	2	no	—
734	C₂×C₂²⋊Q₈	—	43	1	no	—
735	C₂×C₂²⋊Q₈	—	43	2	no	—
736	C₂×C₂²⋊Q₈	—	43	1	no	—
737	C₂×C₂²⋊Q₈	—	43	2	no	—
738	C₂×C₂²⋊Q₈	—	43	2	no	—
739	C₂×C₂²⋊Q₈	—	43	1	no	—
740	C₂×C₂²⋊Q₈	—	43	2	no	—
741	C₂×C₂²⋊Q₈	C₂×D₄₃	1	1	yes	characteristic, complemented
742	C₂×C₂²⋊Q₈	C₂×D₄₃	1	2	yes	complemented
743	C₂×#121	—	43	1	no	—
744	C₂×#121	—	43	1	no	—
745	C₂×#121	—	43	1	no	—
746	C₂×#121	C₂×D₄₃	1	1	yes	characteristic
747	C₂×#120	—	43	2	no	—
748	C₂×#120	—	43	2	no	—
749	#519	—	43	16	no	—
750	#518	—	43	16	no	—
751	C₄×#41	—	43	16	no	—
752	C₂×C₄×Q₈	—	43	1	no	—
753	C₂×C₄×Q₈	—	43	2	no	—
754	C₂×C₄×Q₈	—	43	1	no	—
755	C₂×C₄×Q₈	—	43	1	no	—
756	C₂×C₄×Q₈	—	43	1	no	—
757	C₂×C₄×Q₈	—	43	2	no	—
758	C₂×C₄×Q₈	—	43	2	no	—
759	C₂×C₄×Q₈	—	43	1	no	—
760	C₂×C₄×Q₈	—	43	2	no	—
761	C₂×C₄×Q₈	C₂×D₄₃	1	1	yes	characteristic, complemented
762	C₂×C₄×D₄	—	43	1	no	—
763	C₂×C₄×D₄	—	43	2	no	—
764	C₂×C₄×D₄	—	43	2	no	—
765	C₂×C₄×D₄	—	43	2	no	—
766	C₂×C₄×D₄	—	43	1	no	—
767	C₂×C₄×D₄	—	43	1	no	—
768	C₂×C₄×D₄	—	43	1	no	—
769	C₂×C₄×D₄	—	43	1	no	—
770	C₂×C₄×D₄	—	43	1	no	—
771	C₂×C₄×D₄	—	43	2	no	—
772	C₂×C₄×D₄	—	43	1	no	—
773	C₂×C₄×D₄	—	43	1	no	—
774	C₂×C₄×D₄	—	43	2	no	—
775	C₂×C₄×D₄	—	43	1	no	—
776	C₂×C₄×D₄	—	43	2	no	—
777	C₂×C₄×D₄	C₂×D₄₃	1	1	yes	characteristic
778	C₂×#117	—	43	2	no	—
779	C₂×#117	—	43	1	no	—
780	C₂×#117	—	43	1	no	—
781	C₂×#117	—	43	2	no	—
782	C₂×#117	—	43	2	no	—
783	C₂×#117	—	43	2	no	—
784	C₂×#117	—	43	1	no	—
785	C₂×#117	—	43	2	no	—
786	C₂×#117	—	43	1	no	—
787	C₂×#117	—	43	2	no	—
788	C₂×#117	C₂×D₄₃	1	1	yes	characteristic, complemented
789	C₂²×C₂²⋊C₄	—	43	2	no	—
790	C₂²×C₂²⋊C₄	—	43	2	no	—
791	C₂²×C₂²⋊C₄	—	43	2	no	—
792	C₂²×C₂²⋊C₄	—	43	2	no	—
793	C₂²×C₄²	—	43	1	no	—
794	C₂²×C₄²	—	43	1	no	—
795	C₂²×C₄²	—	43	1	no	—
796	C₄₃	C₂×#3510	1	1	yes	characteristic, complemented, Sylow
797	C₂⁵	—	43	2	no	—
798	C₂×#41	—	43	8	no	—
799	C₂×#41	—	86	8	no	—
800	C₂²×Q₈	—	43	8	no	—
801	C₂²×Q₈	—	43	1	no	—
802	C₂²×Q₈	—	43	2	no	—
803	C₂²×Q₈	—	43	1	no	—
804	C₂²×Q₈	—	43	2	no	—
805	C₂²×Q₈	—	86	8	no	—
806	C₂²×Q₈	C₂²×D₄₃	1	1	yes	characteristic
807	C₂²×Q₈	C₂²×D₄₃	1	2	yes	—
808	C₂²×D₄	—	43	1	no	—
809	C₂²×D₄	—	43	2	no	—
810	C₂²×D₄	—	43	1	no	—
811	C₂²×D₄	—	43	2	no	—
812	C₂²×D₄	—	43	2	no	—
813	C₂²×D₄	—	43	8	no	—
814	C₂²×D₄	—	43	1	no	—
815	C₂²×D₄	—	43	1	no	—
816	C₂²×D₄	—	43	2	no	—
817	C₂²×D₄	—	86	8	no	—
818	C₂²×D₄	C₂²×D₄₃	1	1	yes	characteristic
819	C₂²×D₄	C₂²×D₄₃	1	2	yes	—
820	C₂³×C₄	—	43	1	no	—
821	C₂³×C₄	—	43	2	no	—
822	C₂³×C₄	—	43	1	no	—
823	C₂³×C₄	—	43	1	no	—
824	C₂³×C₄	—	43	2	no	—
825	C₂³×C₄	—	43	1	no	—
826	C₂³×C₄	—	43	1	no	—
827	C₂³×C₄	—	43	1	no	—
828	C₂³×C₄	—	43	2	no	—
829	C₂³×C₄	—	43	2	no	—
830	C₂³×C₄	—	43	1	no	—
831	C₂³×C₄	—	43	1	no	—
832	C₂³×C₄	C₂²×D₄₃	1	1	yes	characteristic
833	C₂³×C₄	C₂²×D₄₃	1	2	yes	—
834	C₄⋊Q₈	—	43	16	no	—
835	C₄⋊Q₈	—	43	8	no	—
836	C₄⋊Q₈	C₂²×D₄₃	1	8	yes	complemented
837	#127	—	43	16	no	—
838	#126	—	43	16	no	—
839	#126	—	43	16	no	—
840	#126	—	43	16	no	—
841	#126	—	43	16	no	—
842	#126	—	43	16	no	—
843	#126	—	43	16	no	—
844	#126	—	43	16	no	—
845	#126	C₂²×D₄₃	1	16	yes	complemented
846	#125	—	43	8	no	—
847	#125	—	43	8	no	—
848	#124	—	43	8	no	—
849	#124	—	43	16	no	—
850	#124	—	43	8	no	—
851	#124	—	43	16	no	—
852	#124	—	43	16	no	—
853	#124	—	43	16	no	—
854	#124	—	43	16	no	—
855	#124	—	43	16	no	—
856	#124	—	43	16	no	—
857	#124	—	43	8	no	—
858	#124	C₂²×D₄₃	1	8	yes	—
859	#124	C₂²×D₄₃	1	16	yes	complemented
860	#123	—	43	16	no	—
861	#123	—	43	16	no	—
862	#123	—	43	16	no	—
863	#123	—	43	16	no	—
864	#123	—	43	16	no	—
865	#123	—	43	16	no	—
866	#123	—	43	16	no	—
867	#123	—	43	16	no	—
868	#123	—	43	16	no	—
869	#123	C₂²×D₄₃	1	16	yes	complemented
870	C₂²⋊Q₈	—	43	8	no	—
871	C₂²⋊Q₈	—	43	16	no	—
872	C₂²⋊Q₈	—	43	16	no	—
873	C₂²⋊Q₈	—	43	8	no	—
874	C₂²⋊Q₈	—	43	8	no	—
875	C₂²⋊Q₈	—	43	16	no	—
876	C₂²⋊Q₈	—	43	16	no	—
877	C₂²⋊Q₈	—	43	16	no	—
878	C₂²⋊Q₈	C₂²×D₄₃	1	8	yes	complemented
879	C₂²⋊Q₈	C₂²×D₄₃	1	16	yes	complemented
880	#121	—	43	8	no	—
881	#121	—	43	8	no	—
882	#121	—	43	8	no	—
883	#121	C₂²×D₄₃	1	8	yes	—
884	#120	—	43	16	no	—
885	#120	—	43	16	no	—
886	C₄×Q₈	—	43	8	no	—
887	C₄×Q₈	—	43	16	no	—
888	C₄×Q₈	—	43	8	no	—
889	C₄×Q₈	—	43	8	no	—
890	C₄×Q₈	—	43	8	no	—
891	C₄×Q₈	—	43	16	no	—
892	C₄×Q₈	—	43	16	no	—
893	C₄×Q₈	—	43	8	no	—
894	C₄×Q₈	—	43	16	no	—
895	C₄×Q₈	C₂²×D₄₃	1	8	yes	complemented
896	C₄×D₄	—	43	8	no	—
897	C₄×D₄	—	43	16	no	—
898	C₄×D₄	—	43	16	no	—
899	C₄×D₄	—	43	16	no	—
900	C₄×D₄	—	43	8	no	—
901	C₄×D₄	—	43	8	no	—
902	C₄×D₄	—	43	8	no	—
903	C₄×D₄	—	43	8	no	—
904	C₄×D₄	—	43	8	no	—
905	C₄×D₄	—	43	8	no	—
906	C₄×D₄	—	43	8	no	—
907	C₄×D₄	—	43	16	no	—
908	C₄×D₄	—	43	16	no	—
909	C₄×D₄	—	43	8	no	—
910	C₄×D₄	—	43	16	no	—
911	C₄×D₄	C₂²×D₄₃	1	8	yes	—
912	#117	—	43	16	no	—
913	#117	—	43	8	no	—
914	#117	—	43	8	no	—
915	#117	—	43	16	no	—
916	#117	—	43	16	no	—
917	#117	—	43	16	no	—
918	#117	—	43	8	no	—
919	#117	—	43	8	no	—
920	#117	—	43	16	no	—
921	#117	—	43	16	no	—
922	#117	C₂²×D₄₃	1	8	yes	complemented
923	C₂×C₄⋊C₄	—	43	2	no	—
924	C₂×C₄⋊C₄	—	43	2	no	—
925	C₂×C₄⋊C₄	—	43	1	no	—
926	C₂×C₄⋊C₄	—	43	1	no	—
927	C₂×C₄⋊C₄	—	43	1	no	—
928	C₂×C₄⋊C₄	—	43	1	no	—
929	C₂×C₄⋊C₄	—	43	1	no	—
930	C₂×C₄⋊C₄	—	43	1	no	—
931	C₂×C₄⋊C₄	—	43	2	no	—
932	C₂×C₄⋊C₄	—	43	2	no	—
933	C₂×C₄⋊C₄	—	43	2	no	—
934	C₂×C₄⋊C₄	—	43	2	no	—
935	C₂×C₄⋊C₄	—	43	2	no	—
936	C₂×C₄⋊C₄	—	43	2	no	—
937	C₂×C₄⋊C₄	—	43	2	no	—
938	C₂×C₄⋊C₄	—	43	2	no	—
939	C₂×C₄⋊C₄	—	43	2	no	—
940	C₂×C₄⋊C₄	C₂²×D₄₃	1	1	yes	characteristic
941	C₂×C₄⋊C₄	C₂²×D₄₃	1	1	yes	characteristic
942	C₂×C₄⋊C₄	C₂²×D₄₃	1	2	yes	—
943	C₂×C₄⋊C₄	C₂²×D₄₃	1	2	yes	—
944	C₂×C₄⋊C₄	C₂²×D₄₃	1	1	yes	characteristic
945	C₂×C₄⋊C₄	C₂²×D₄₃	1	1	yes	characteristic
946	C₂×C₄⋊C₄	C₂²×D₄₃	1	2	yes	—
947	C₂×C₂²⋊C₄	—	43	2	no	—
948	C₂×C₂²⋊C₄	—	43	2	no	—
949	C₂×C₂²⋊C₄	—	43	2	no	—
950	C₂×C₂²⋊C₄	—	43	2	no	—
951	C₂×C₂²⋊C₄	—	43	2	no	—
952	C₂×C₂²⋊C₄	—	43	1	no	—
953	C₂×C₂²⋊C₄	—	43	1	no	—
954	C₂×C₂²⋊C₄	—	43	2	no	—
955	C₂×C₂²⋊C₄	—	43	2	no	—
956	C₂×C₂²⋊C₄	—	43	2	no	—
957	C₂×C₂²⋊C₄	—	43	2	no	—
958	C₂×C₂²⋊C₄	—	43	2	no	—
959	C₂×C₂²⋊C₄	—	43	16	no	—
960	C₂×C₂²⋊C₄	—	43	2	no	—
961	C₂×C₂²⋊C₄	—	43	2	no	—
962	C₂×C₂²⋊C₄	—	43	2	no	—
963	C₂×C₂²⋊C₄	—	43	1	no	—
964	C₂×C₂²⋊C₄	—	43	1	no	—
965	C₂×C₂²⋊C₄	—	43	2	no	—
966	C₂×C₂²⋊C₄	—	43	2	no	—
967	C₂×C₂²⋊C₄	—	43	2	no	—
968	C₂×C₂²⋊C₄	—	43	2	no	—
969	C₂×C₂²⋊C₄	—	43	16	no	—
970	C₂×C₂²⋊C₄	—	43	16	no	—
971	C₂×C₂²⋊C₄	—	43	16	no	—
972	C₂×C₂²⋊C₄	C₂²×D₄₃	1	2	yes	—
973	C₂×C₂²⋊C₄	C₂²×D₄₃	1	2	yes	—
974	C₂×C₂²⋊C₄	C₂²×D₄₃	1	2	yes	—
975	C₂×C₂²⋊C₄	C₂²×D₄₃	1	2	yes	—
976	C₂×C₂²⋊C₄	C₂²×D₄₃	1	1	yes	characteristic
977	C₂×C₂²⋊C₄	C₂²×D₄₃	1	1	yes	characteristic
978	C₂×C₂²⋊C₄	C₂²×D₄₃	1	2	yes	—
979	C₂×C₄²	—	43	1	no	—
980	C₂×C₄²	—	43	2	no	—
981	C₂×C₄²	—	43	2	no	—
982	C₂×C₄²	—	43	2	no	—
983	C₂×C₄²	—	43	1	no	—
984	C₂×C₄²	—	43	1	no	—
985	C₂×C₄²	—	43	1	no	—
986	C₂×C₄²	—	43	1	no	—
987	C₂×C₄²	—	43	2	no	—
988	C₂×C₄²	—	43	2	no	—
989	C₂×C₄²	—	43	1	no	—
990	C₂×C₄²	—	43	1	no	—
991	C₂×C₄²	—	43	8	no	—
992	C₂×C₄²	—	43	1	no	—
993	C₂×C₄²	—	43	8	no	—
994	C₂×C₄²	—	43	8	no	—
995	C₂×C₄²	C₂²×D₄₃	1	2	yes	—
996	C₂×C₄²	C₂²×D₄₃	1	1	yes	characteristic
997	C₂×C₄²	C₂²×D₄₃	1	1	yes	characteristic
998	C₂⁴	—	43	1	no	—
999	C₂⁴	—	43	2	no	—
1000	C₂⁴	—	43	1	no	—
1001	C₂⁴	—	43	8	no	—
1002	C₂⁴	—	86	8	no	—
1003	C₂⁴	—	172	4	no	—
1004	C₂⁴	—	172	4	no	—
1005	C₂⁴	C₂³×D₄₃	1	2	yes	—
1006	C₂⁴	C₂³×D₄₃	1	1	yes	characteristic
1007	#41	—	86	32	no	—
1008	C₂×Q₈	—	2	4	no	—
1009	C₂×Q₈	—	4	4	no	—
1010	C₂×Q₈	—	43	4	no	—
1011	C₂×Q₈	—	43	8	no	—
1012	C₂×Q₈	—	43	4	no	—
1013	C₂×Q₈	—	43	8	no	—
1014	C₂×Q₈	—	86	8	no	—
1015	C₂×Q₈	—	86	4	no	—
1016	C₂×Q₈	—	86	32	no	—
1017	C₂×Q₈	—	86	4	no	—
1018	C₂×Q₈	—	172	4	no	—
1019	C₂×Q₈	C₂³×D₄₃	1	4	yes	—
1020	C₂×Q₈	C₂³×D₄₃	1	8	yes	—
1021	C₂×D₄	—	2	4	no	—
1022	C₂×D₄	—	4	4	no	—
1023	C₂×D₄	—	43	4	no	—
1024	C₂×D₄	—	43	8	no	—
1025	C₂×D₄	—	43	4	no	—
1026	C₂×D₄	—	43	8	no	—
1027	C₂×D₄	—	43	8	no	—
1028	C₂×D₄	—	43	4	no	—
1029	C₂×D₄	—	43	4	no	—
1030	C₂×D₄	—	43	8	no	—
1031	C₂×D₄	—	86	4	no	—
1032	C₂×D₄	—	86	32	no	—
1033	C₂×D₄	—	86	8	no	—
1034	C₂×D₄	—	86	4	no	—
1035	C₂×D₄	—	86	4	no	—
1036	C₂×D₄	—	86	4	no	—
1037	C₂×D₄	—	172	4	no	—
1038	C₂×D₄	—	172	4	no	—
1039	C₂×D₄	—	172	4	no	—
1040	C₂×D₄	C₂³×D₄₃	1	4	yes	—
1041	C₂×D₄	C₂³×D₄₃	1	8	yes	—
1042	C₂²×C₄	—	2	4	no	—
1043	C₂²×C₄	—	4	4	no	—
1044	C₂²×C₄	—	43	1	no	—
1045	C₂²×C₄	—	43	8	no	—
1046	C₂²×C₄	—	43	4	no	—
1047	C₂²×C₄	—	43	1	no	—
1048	C₂²×C₄	—	43	1	no	—
1049	C₂²×C₄	—	43	1	no	—
1050	C₂²×C₄	—	43	1	no	—
1051	C₂²×C₄	—	43	2	no	—
1052	C₂²×C₄	—	43	2	no	—
1053	C₂²×C₄	—	43	1	no	—
1054	C₂²×C₄	—	43	2	no	—
1055	C₂²×C₄	—	43	4	no	—
1056	C₂²×C₄	—	43	4	no	—
1057	C₂²×C₄	—	43	8	no	—
1058	C₂²×C₄	—	43	4	no	—
1059	C₂²×C₄	—	43	8	no	—
1060	C₂²×C₄	—	43	4	no	—
1061	C₂²×C₄	—	43	4	no	—
1062	C₂²×C₄	—	43	4	no	—
1063	C₂²×C₄	—	43	4	no	—
1064	C₂²×C₄	—	43	8	no	—
1065	C₂²×C₄	—	43	8	no	—
1066	C₂²×C₄	—	86	8	no	—
1067	C₂²×C₄	—	86	4	no	—
1068	C₂²×C₄	—	172	2	no	—
1069	C₂²×C₄	—	172	4	no	—
1070	C₂²×C₄	—	172	2	no	—
1071	C₂²×C₄	—	172	2	no	—
1072	C₂²×C₄	—	172	4	no	—
1073	C₂²×C₄	—	172	2	no	—
1074	C₂²×C₄	—	172	2	no	—
1075	C₂²×C₄	—	172	2	no	—
1076	C₂²×C₄	—	172	4	no	—
1077	C₂²×C₄	C₂³×D₄₃	1	4	yes	—
1078	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
1079	C₂²×C₄	C₂³×D₄₃	1	2	yes	—
1080	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
1081	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
1082	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
1083	C₂²×C₄	C₂³×D₄₃	1	2	yes	—
1084	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
1085	C₂²×C₄	C₂³×D₄₃	1	2	yes	—
1086	C₂²×C₄	C₂³×D₄₃	1	8	yes	—
1087	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
1088	C₄⋊C₄	—	43	8	no	—
1089	C₄⋊C₄	—	43	8	no	—
1090	C₄⋊C₄	—	43	4	no	—
1091	C₄⋊C₄	—	43	4	no	—
1092	C₄⋊C₄	—	43	4	no	—
1093	C₄⋊C₄	—	43	4	no	—
1094	C₄⋊C₄	—	43	4	no	—
1095	C₄⋊C₄	—	43	4	no	—
1096	C₄⋊C₄	—	43	8	no	—
1097	C₄⋊C₄	—	43	8	no	—
1098	C₄⋊C₄	—	43	8	no	—
1099	C₄⋊C₄	—	43	8	no	—
1100	C₄⋊C₄	—	43	8	no	—
1101	C₄⋊C₄	—	43	8	no	—
1102	C₄⋊C₄	—	43	8	no	—
1103	C₄⋊C₄	—	43	8	no	—
1104	C₄⋊C₄	—	43	8	no	—
1105	C₄⋊C₄	C₂³×D₄₃	1	4	yes	—
1106	C₄⋊C₄	C₂³×D₄₃	1	4	yes	—
1107	C₄⋊C₄	C₂³×D₄₃	1	8	yes	—
1108	C₄⋊C₄	C₂³×D₄₃	1	8	yes	—
1109	C₄⋊C₄	C₂³×D₄₃	1	4	yes	—
1110	C₄⋊C₄	C₂³×D₄₃	1	4	yes	—
1111	C₄⋊C₄	C₂³×D₄₃	1	8	yes	—
1112	C₂²⋊C₄	—	43	8	no	—
1113	C₂²⋊C₄	—	43	8	no	—
1114	C₂²⋊C₄	—	43	8	no	—
1115	C₂²⋊C₄	—	43	8	no	—
1116	C₂²⋊C₄	—	43	8	no	—
1117	C₂²⋊C₄	—	43	4	no	—
1118	C₂²⋊C₄	—	43	4	no	—
1119	C₂²⋊C₄	—	43	8	no	—
1120	C₂²⋊C₄	—	43	8	no	—
1121	C₂²⋊C₄	—	43	8	no	—
1122	C₂²⋊C₄	—	43	8	no	—
1123	C₂²⋊C₄	—	43	8	no	—
1124	C₂²⋊C₄	—	43	8	no	—
1125	C₂²⋊C₄	—	43	8	no	—
1126	C₂²⋊C₄	—	43	8	no	—
1127	C₂²⋊C₄	—	43	4	no	—
1128	C₂²⋊C₄	—	43	4	no	—
1129	C₂²⋊C₄	—	43	8	no	—
1130	C₂²⋊C₄	—	43	8	no	—
1131	C₂²⋊C₄	—	43	8	no	—
1132	C₂²⋊C₄	—	43	8	no	—
1133	C₂²⋊C₄	C₂³×D₄₃	1	8	yes	—
1134	C₂²⋊C₄	C₂³×D₄₃	1	8	yes	—
1135	C₂²⋊C₄	C₂³×D₄₃	1	8	yes	—
1136	C₂²⋊C₄	C₂³×D₄₃	1	8	yes	—
1137	C₂²⋊C₄	C₂³×D₄₃	1	4	yes	—
1138	C₂²⋊C₄	C₂³×D₄₃	1	4	yes	—
1139	C₂²⋊C₄	C₂³×D₄₃	1	8	yes	—
1140	C₄²	—	43	4	no	—
1141	C₄²	—	43	4	no	—
1142	C₄²	—	43	4	no	—
1143	C₄²	—	43	4	no	—
1144	C₄²	—	43	4	no	—
1145	C₄²	—	43	4	no	—
1146	C₄²	—	43	4	no	—
1147	C₄²	—	43	4	no	—
1148	C₄²	—	43	8	no	—
1149	C₄²	—	43	8	no	—
1150	C₄²	—	43	8	no	—
1151	C₄²	—	43	8	no	—
1152	C₄²	—	43	8	no	—
1153	C₄²	C₂³×D₄₃	1	4	yes	—
1154	C₄²	C₂³×D₄₃	1	4	yes	—
1155	C₄²	C₂³×D₄₃	1	8	yes	—
1156	C₂³	—	2	2	no	—
1157	C₂³	—	2	4	no	—
1158	C₂³	—	2	4	no	—
1159	C₂³	—	2	2	no	—
1160	C₂³	—	2	2	no	—
1161	C₂³	—	2	4	no	—
1162	C₂³	—	43	4	no	—
1163	C₂³	—	43	2	no	—
1164	C₂³	—	43	4	no	—
1165	C₂³	—	43	2	no	—
1166	C₂³	—	86	16	no	—
1167	C₂³	—	86	2	no	—
1168	C₂³	—	86	2	no	—
1169	C₂³	—	86	2	no	—
1170	C₂³	—	86	4	no	—
1171	C₂³	—	86	2	no	—
1172	C₂³	—	86	4	no	—
1173	C₂³	—	86	2	no	—
1174	C₂³	—	86	4	no	—
1175	C₂³	—	344	16	no	—
1176	C₂³	—	172	8	no	—
1177	C₂³	—	172	8	no	—
1178	C₂³	C₂⁴×D₄₃	1	4	yes	—
1179	C₂³	C₂⁴×D₄₃	1	2	yes	—
1180	C₂³	C₂⁴×D₄₃	1	1	yes	characteristic
1181	Q₈	—	2	8	no	—
1182	Q₈	—	4	8	no	—
1183	Q₈	—	86	16	no	—
1184	Q₈	—	86	8	no	—
1185	Q₈	—	86	8	no	—
1186	Q₈	—	172	8	no	—
1187	D₄	—	2	8	no	—
1188	D₄	—	4	8	no	—
1189	D₄	—	86	8	no	—
1190	D₄	—	86	16	no	—
1191	D₄	—	86	8	no	—
1192	D₄	—	86	8	no	—
1193	D₄	—	86	8	no	—
1194	D₄	—	172	8	no	—
1195	D₄	—	172	8	no	—
1196	D₄	—	172	8	no	—
1197	C₂×C₄	—	2	2	no	—
1198	C₂×C₄	—	2	4	no	—
1199	C₂×C₄	—	2	2	no	—
1200	C₂×C₄	—	2	4	no	—
1201	C₂×C₄	—	2	2	no	—
1202	C₂×C₄	—	2	4	no	—
1203	C₂×C₄	—	2	2	no	—
1204	C₂×C₄	—	2	2	no	—
1205	C₂×C₄	—	2	8	no	—
1206	C₂×C₄	—	4	8	no	—
1207	C₂×C₄	—	43	4	no	—
1208	C₂×C₄	—	43	2	no	—
1209	C₂×C₄	—	43	16	no	—
1210	C₂×C₄	—	43	2	no	—
1211	C₂×C₄	—	43	2	no	—
1212	C₂×C₄	—	43	2	no	—
1213	C₂×C₄	—	43	2	no	—
1214	C₂×C₄	—	43	4	no	—
1215	C₂×C₄	—	43	4	no	—
1216	C₂×C₄	—	43	2	no	—
1217	C₂×C₄	—	43	4	no	—
1218	C₂×C₄	—	86	16	no	—
1219	C₂×C₄	—	86	2	no	—
1220	C₂×C₄	—	86	4	no	—
1221	C₂×C₄	—	86	2	no	—
1222	C₂×C₄	—	86	2	no	—
1223	C₂×C₄	—	86	2	no	—
1224	C₂×C₄	—	86	2	no	—
1225	C₂×C₄	—	86	4	no	—
1226	C₂×C₄	—	86	4	no	—
1227	C₂×C₄	—	86	8	no	—
1228	C₂×C₄	—	172	4	no	—
1229	C₂×C₄	—	172	8	no	—
1230	C₂×C₄	—	172	4	no	—
1231	C₂×C₄	—	172	4	no	—
1232	C₂×C₄	—	172	8	no	—
1233	C₂×C₄	—	172	4	no	—
1234	C₂×C₄	—	172	4	no	—
1235	C₂×C₄	—	172	4	no	—
1236	C₂×C₄	—	172	8	no	—
1237	C₂×C₄	#41×D₄₃	1	4	yes	—
1238	C₂×C₄	C₂⁴×D₄₃	1	2	yes	—
1239	C₂×C₄	C₂⁴×D₄₃	1	4	yes	—
1240	C₂×C₄	C₂⁴×D₄₃	1	2	yes	—
1241	C₂×C₄	C₂⁴×D₄₃	1	2	yes	—
1242	C₂×C₄	C₂⁴×D₄₃	1	2	yes	—
1243	C₂×C₄	C₂⁴×D₄₃	1	4	yes	—
1244	C₂×C₄	C₂⁴×D₄₃	1	2	yes	—
1245	C₂×C₄	C₂⁴×D₄₃	1	4	yes	—
1246	C₂×C₄	C₂⁴×D₄₃	1	2	yes	—
1247	C₂²	—	2	2	no	—
1248	C₂²	—	2	4	no	—
1249	C₂²	—	2	4	no	—
1250	C₂²	—	2	2	no	—
1251	C₂²	—	2	2	no	—
1252	C₂²	—	2	4	no	—
1253	C₂²	—	4	8	no	—
1254	C₂²	—	4	4	no	—
1255	C₂²	—	43	4	no	—
1256	C₂²	—	86	2	no	—
1257	C₂²	—	86	2	no	—
1258	C₂²	—	86	8	no	—
1259	C₂²	—	86	2	no	—
1260	C₂²	—	86	4	no	—
1261	C₂²	—	86	2	no	—
1262	C₂²	—	86	4	no	—
1263	C₂²	—	86	2	no	—
1264	C₂²	—	86	4	no	—
1265	C₂²	—	344	16	no	—
1266	C₂²	—	172	8	no	—
1267	C₂²	—	172	4	no	—
1268	C₂²	C₂×#41×D₄₃	1	2	yes	—
1269	C₂²	#14583734	1	2	yes	—
1270	C₂²	#14583736	1	2	yes	—
1271	C₂²	C₂⁵×D₄₃	1	1	yes	characteristic
1272	C₄	—	2	2	no	—
1273	C₄	—	2	4	no	—
1274	C₄	—	2	2	no	—
1275	C₄	—	2	4	no	—
1276	C₄	—	2	2	no	—
1277	C₄	—	2	4	no	—
1278	C₄	—	2	2	no	—
1279	C₄	—	2	2	no	—
1280	C₄	—	43	4	no	—
1281	C₄	—	86	2	no	—
1282	C₄	—	86	4	no	—
1283	C₄	—	86	2	no	—
1284	C₄	—	86	2	no	—
1285	C₄	—	86	2	no	—
1286	C₄	—	86	2	no	—
1287	C₄	—	86	4	no	—
1288	C₄	—	86	4	no	—
1289	C₄	C₂×#41×D₄₃	1	4	yes	—
1290	C₂	—	4	4	no	—
1291	C₂	—	4	2	no	—
1292	C₂	—	86	4	no	—
1293	C₂	—	172	4	no	—
1294	C₂	—	172	2	no	—
1295	C₂	#19148487	1	4	yes	direct product factor
1296	C₂	C₂²×#41×D₄₃	1	1	yes	characteristic
1297	C₂	C₂×#14583734	1	1	yes	characteristic
1298	C₂	C₂×#14583736	1	1	yes	characteristic

	subgroup	G/H
center	C₂³	C₂⁴×D₄₃
commutator, cosocle	C₂²×C₄₃	C₂⁶
Frattini	C₂²	C₂⁵×D₄₃
Fitting	C₂×C₄₃×#542	C₂
socle	C₂³×C₄₃	C₂⁵
prime radical	C₂×#14583465	C₂
hypercenter	C₂×#542	D₄₃
hypocenter	C₄₃	C₂×#3510
LCS	G ▷ C₂²×C₄₃ ▷ C₄₃
UCS	C₁ ◁ C₂³ ◁ C₂×#542

Complements

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

N	H ≅ G/N	type
1. #19148487	C₂	direct (N × H)
2. C₂×#14583633	C₂	semidirect
3. C₂×#14583631	C₂	semidirect
4. C₂×#14583620	C₂	semidirect
5. C₂×#14583616	C₂	semidirect
6. C₂×#14583579	C₂	semidirect
7. C₂×#14583576	C₂	semidirect
8. C₂×#14583574	C₂	semidirect
9. C₂×#14583572	C₂	semidirect
10. C₂×#14583523	C₂	semidirect
11. C₂×#14583520	C₂	semidirect
12. C₂×#14583518	C₂	semidirect
13. C₂×#14583472	C₂	semidirect
15. C₂×#14583454	C₂	semidirect
16. C₂×#14583436	C₂	semidirect
17. C₂×#14583435	C₂	semidirect
18. C₂×#14583431	C₂	semidirect
19. C₂×#14583430	C₂	semidirect
20. C₂×#124×D₄₃	C₂	semidirect
21. C₂×#14583375	C₂	semidirect
22. C₂×#14583371	C₂	semidirect
23. C₂×#14583367	C₂	semidirect
24. C₂×C₄₃×#542	C₂	semidirect
28. #14583633	C₂²	semidirect
29. #14583631	C₂²	semidirect
30. #14583620	C₂²	semidirect
31. #14583616	C₂²	semidirect
32. #14583579	C₂²	semidirect
33. #14583576	C₂²	semidirect
34. #14583574	C₂²	semidirect
35. #14583572	C₂²	semidirect
36. #14583523	C₂²	semidirect
37. #14583520	C₂²	semidirect
38. #14583518	C₂²	semidirect
39. #14583472	C₂²	semidirect
41. #14583454	C₂²	semidirect
42. C₂×#13063325	C₂²	semidirect
43. C₂×#13063324	C₂²	semidirect
45. #14583436	C₂²	semidirect
46. #14583435	C₂²	semidirect
47. #14583431	C₂²	semidirect
48. #14583430	C₂²	semidirect
49. C₂×#13063320	C₂²	semidirect
50. C₂×#13063320	C₂²	semidirect
51. C₂×#13063320	C₂²	semidirect
52. C₂×#13063320	C₂²	semidirect
53. C₂×#13063318	C₂²	semidirect
54. C₂×#13063318	C₂²	semidirect
55. C₂×#13063318	C₂²	semidirect
56. C₂×#13063316	C₂²	semidirect
57. C₂×#13063316	C₂²	semidirect
59. C₂×#13063314	C₂²	semidirect
65. C₂×#13063311	C₂²	semidirect
66. C₂×#13063311	C₂²	semidirect
67. C₂×#13063311	C₂²	semidirect
68. #124×D₄₃	C₂²	semidirect
70. C₂×#13063310	C₂²	semidirect
71. C₂×#13063310	C₂²	semidirect
72. C₂×#13063309	C₂²	semidirect
73. C₂×#13063309	C₂²	semidirect
75. C₂×#13063307	C₂²	semidirect
76. C₂×#13063307	C₂²	semidirect
77. C₂×#13063306	C₂²	semidirect
79. C₂×#13063305	C₂²	semidirect
80. C₂×#13063304	C₂²	semidirect
81. C₂×#13063303	C₂²	semidirect
82. C₂×#13063302	C₂²	semidirect
84. C₂×#13063301	C₂²	semidirect
85. C₂×#13063301	C₂²	semidirect
91. #14583375	C₂²	semidirect
92. #14583371	C₂²	semidirect
93. #14583367	C₂²	semidirect
94. C₂×Q₈×Dic₄₃	C₂²	semidirect
95. C₂×Q₈×Dic₄₃	C₂²	semidirect
96. C₂×C₄×Dic₈₆	C₂²	semidirect
97. C₂×C₄×Dic₈₆	C₂²	semidirect
98. C₂×#13063290	C₂²	semidirect
99. C₂×#13063290	C₂²	semidirect
100. C₂×#13063290	C₂²	semidirect
101. C₂×#13063290	C₂²	semidirect
102. C₂×#13063290	C₂²	semidirect
104. C₂×C₄×D₁₇₂	C₂²	semidirect
106. C₂×D₄×Dic₄₃	C₂²	semidirect
111. C₂×C₄×C₂²⋊D₄₃	C₂²	semidirect
115. C₂×(C₂²⋊D₄₃)⋊C₄	C₂²	semidirect
116. C₂×(C₂²⋊D₄₃)⋊C₄	C₂²	semidirect
117. C₂×(C₂²⋊D₄₃)⋊C₄	C₂²	semidirect
118. C₂×#13063284	C₂²	semidirect
122. C₂×#13063283	C₂²	semidirect
125. C₂×#13063282	C₂²	semidirect
126. C₂×#13063282	C₂²	semidirect
127. C₂×#13063281	C₂²	semidirect
132. C₂²×C₄×Dic₄₃	C₂²	semidirect
134. C₂×C₄²×D₄₃	C₂²	semidirect
135. C₄₃×#542	C₂²	semidirect
136. C₂×C₄⋊Q₈×C₄₃	C₂²	semidirect
137. C₂×#126×C₄₃	C₂²	semidirect
139. C₂×#124×C₄₃	C₂²	semidirect
140. C₂×#123×C₄₃	C₂²	semidirect
141. C₂×C₂²⋊Q₈×C₄₃	C₂²	semidirect
142. C₂×C₂²⋊Q₈×C₄₃	C₂²	semidirect
144. C₂×C₄×Q₈×C₄₃	C₂²	semidirect
146. C₂×#117×C₄₃	C₂²	semidirect
178. #13063325	C₂³	semidirect
179. #13063324	C₂³	semidirect
181. #13063320	C₂³	semidirect
182. #13063320	C₂³	semidirect
183. #13063320	C₂³	semidirect
184. #13063320	C₂³	semidirect
185. #13063318	C₂³	semidirect
186. #13063318	C₂³	semidirect
187. #13063318	C₂³	semidirect
188. #13063316	C₂³	semidirect
189. #13063316	C₂³	semidirect
191. #13063314	C₂³	semidirect
197. #13063311	C₂³	semidirect
198. #13063311	C₂³	semidirect
199. #13063311	C₂³	semidirect
201. #13063310	C₂³	semidirect
202. #13063310	C₂³	semidirect
203. #13063309	C₂³	semidirect
204. #13063309	C₂³	semidirect
206. #13063307	C₂³	semidirect
207. #13063307	C₂³	semidirect
208. #13063306	C₂³	semidirect
210. #13063305	C₂³	semidirect
211. #13063304	C₂³	semidirect
212. #13063303	C₂³	semidirect
213. #13063302	C₂³	semidirect
215. #13063301	C₂³	semidirect
216. #13063301	C₂³	semidirect
222. Q₈×Dic₄₃	C₂³	semidirect
223. Q₈×Dic₄₃	C₂³	semidirect
224. C₄×Dic₈₆	C₂³	semidirect
225. C₄×Dic₈₆	C₂³	semidirect
226. #13063290	C₂³	semidirect
227. #13063290	C₂³	semidirect
228. #13063290	C₂³	semidirect
229. #13063290	C₂³	semidirect
230. #13063290	C₂³	semidirect
232. C₄×D₁₇₂	C₂³	semidirect
234. D₄×Dic₄₃	C₂³	semidirect
239. C₄×C₂²⋊D₄₃	C₂³	semidirect
243. (C₂²⋊D₄₃)⋊C₄	C₂³	semidirect
244. (C₂²⋊D₄₃)⋊C₄	C₂³	semidirect
245. (C₂²⋊D₄₃)⋊C₄	C₂³	semidirect
246. #13063284	C₂³	semidirect
250. #13063283	C₂³	semidirect
253. #13063282	C₂³	semidirect
254. #13063282	C₂³	semidirect
255. #13063281	C₂³	semidirect
311. C₂×C₄×Dic₄₃	C₂³	semidirect
313. C₄²×D₄₃	C₂³	semidirect
320. C₄⋊Q₈×C₄₃	C₂³	semidirect
321. #126×C₄₃	C₂³	semidirect
323. #124×C₄₃	C₂³	semidirect
324. #123×C₄₃	C₂³	semidirect
325. C₂²⋊Q₈×C₄₃	C₂³	semidirect
326. C₂²⋊Q₈×C₄₃	C₂³	semidirect
328. C₄×Q₈×C₄₃	C₂³	semidirect
330. #117×C₄₃	C₂³	semidirect
653. C₂×#542	D₄₃	semidirect
667. C₂×C₄₃	#3510	semidirect
688. #542	C₂×D₄₃	semidirect
694. C₂×C₄⋊Q₈	C₂×D₄₃	semidirect
707. C₂×#126	C₂×D₄₃	semidirect
722. C₂×#124	C₂×D₄₃	semidirect
732. C₂×#123	C₂×D₄₃	semidirect
741. C₂×C₂²⋊Q₈	C₂×D₄₃	semidirect
742. C₂×C₂²⋊Q₈	C₂×D₄₃	semidirect
761. C₂×C₄×Q₈	C₂×D₄₃	semidirect
788. C₂×#117	C₂×D₄₃	semidirect
796. C₄₃	C₂×#3510	semidirect
836. C₄⋊Q₈	C₂²×D₄₃	semidirect
845. #126	C₂²×D₄₃	semidirect
859. #124	C₂²×D₄₃	semidirect
869. #123	C₂²×D₄₃	semidirect
878. C₂²⋊Q₈	C₂²×D₄₃	semidirect
879. C₂²⋊Q₈	C₂²×D₄₃	semidirect
895. C₄×Q₈	C₂²×D₄₃	semidirect
922. #117	C₂²×D₄₃	semidirect
1295. C₂	#19148487	direct (N × H)

Maximal subgroups

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

subgroup	index
#19148487	2
C₂×#14583633	2
C₂×#14583631	2
C₂×#14583620	2
C₂×#14583616	2
C₂×#14583579	2
C₂×#14583576	2
C₂×#14583574	2
C₂×#14583572	2
C₂×#14583523	2
C₂×#14583520	2
C₂×#14583518	2
C₂×#14583472	2
C₂×#14583465	2
C₂×#14583454	2
C₂×#14583436	2
C₂×#14583435	2
C₂×#14583431	2
C₂×#14583430	2
C₂×#124×D₄₃	2
C₂×#14583375	2
C₂×#14583371	2
C₂×#14583367	2
C₂×C₄₃×#542	2
C₂×#3510	43

Subgroups — C2×#19148487 #26005086

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₂×#19148487 #26005086