Subgroups — C₂×#19149158 #26003942

Order 11008.

7258 conjugacy classes of subgroups.

The subgroup lattice has 1316 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#19149158	C₂	1	32	yes	maximal, direct product factor
2	C₂×#14583650	C₂	1	2	yes	maximal, complemented
3	C₂×#14583644	C₂	1	2	yes	maximal, complemented
4	C₂×#14583621	C₂	1	1	yes	maximal, characteristic, complemented
5	C₂×#14583618	C₂	1	1	yes	maximal, characteristic, complemented
6	C₂×#14583579	C₂	1	2	yes	maximal, complemented
7	C₂×#14583578	C₂	1	2	yes	maximal, complemented
8	C₂×Q₈×C₂²⋊D₄₃	C₂	1	1	yes	maximal, characteristic, complemented
9	C₂×#14583562	C₂	1	1	yes	maximal, characteristic, complemented
10	C₂×#14583558	C₂	1	1	yes	maximal, characteristic, complemented
11	C₂×#14583546	C₂	1	1	yes	maximal, characteristic, complemented
12	C₂×#14583537	C₂	1	1	yes	maximal, characteristic, complemented
13	C₂×#14583524	C₂	1	2	yes	maximal, complemented
14	C₂×#14583522	C₂	1	1	yes	maximal, characteristic, complemented
15	C₂×#14583516	C₂	1	1	yes	maximal, characteristic, complemented
16	C₂×#14583514	C₂	1	2	yes	maximal, complemented
17	C₂×#14583513	C₂	1	2	yes	maximal, complemented
18	C₂×#14583481	C₂	1	2	yes	maximal, complemented
19	C₂×#14583473	C₂	1	1	yes	maximal, characteristic, complemented
20	C₂×#14583470	C₂	1	1	yes	maximal, characteristic, complemented
21	C₂×#14583453	C₂	1	1	yes	maximal, characteristic, complemented
22	C₂×#14583431	C₂	1	1	yes	maximal, characteristic, complemented
23	C₂×#124×D₄₃	C₂	1	1	yes	maximal, characteristic, complemented
24	C₂×C₄₃×#548	C₂	1	1	yes	maximal, characteristic, complemented
25	C₂²×#10621898	C₂²	1	1	yes	characteristic
26	C₂³×Dic₈₆	C₂²	1	1	yes	characteristic, complemented
27	C₂²×Q₈×D₄₃	C₂²	1	1	yes	characteristic
28	C₂²×D₄×D₄₃	C₂²	1	1	yes	characteristic
29	#14583650	C₂²	1	32	yes	complemented
30	#14583644	C₂²	1	32	yes	complemented
31	#14583621	C₂²	1	16	yes	complemented
32	#14583618	C₂²	1	16	yes	complemented
33	#14583579	C₂²	1	32	yes	complemented
34	#14583578	C₂²	1	32	yes	complemented
35	Q₈×C₂²⋊D₄₃	C₂²	1	16	yes	complemented
36	#14583562	C₂²	1	16	yes	complemented
37	#14583558	C₂²	1	16	yes	complemented
38	#14583546	C₂²	1	16	yes	complemented
39	#14583537	C₂²	1	16	yes	complemented
40	#14583524	C₂²	1	32	yes	complemented
41	#14583522	C₂²	1	16	yes	complemented
42	#14583516	C₂²	1	16	yes	complemented
43	#14583514	C₂²	1	32	yes	complemented
44	#14583513	C₂²	1	32	yes	complemented
45	#14583481	C₂²	1	32	yes	complemented
46	#14583473	C₂²	1	16	yes	complemented
47	#14583470	C₂²	1	16	yes	complemented
48	#14583453	C₂²	1	16	yes	complemented
49	C₂×#13063324	C₂²	1	2	yes	complemented
50	C₂×#13063324	C₂²	1	1	yes	characteristic, complemented
51	C₂×#13063323	C₂²	1	1	yes	characteristic, complemented
52	C₂×#13063323	C₂²	1	1	yes	characteristic, complemented
53	C₂×#13063323	C₂²	1	2	yes	complemented
54	C₂×#13063323	C₂²	1	1	yes	characteristic, complemented
55	#14583431	C₂²	1	16	yes	complemented
56	C₂×#13063320	C₂²	1	2	yes	complemented
57	C₂×#13063320	C₂²	1	2	yes	complemented
58	C₂×#13063319	C₂²	1	2	yes	complemented
59	C₂×#13063318	C₂²	1	2	yes	complemented
60	C₂×#13063318	C₂²	1	2	yes	complemented
61	C₂×#13063318	C₂²	1	1	yes	characteristic, complemented
62	C₂×#13063318	C₂²	1	1	yes	characteristic, complemented
63	C₂×#13063318	C₂²	1	2	yes	complemented
64	C₂×#13063316	C₂²	1	1	yes	characteristic, complemented
65	C₂×#13063315	C₂²	1	2	yes	complemented
66	C₂×#13063314	C₂²	1	1	yes	characteristic
67	C₂×#13063314	C₂²	1	1	yes	characteristic
68	C₂×#13063313	C₂²	1	1	yes	characteristic
69	C₂×#13063312	C₂²	1	1	yes	characteristic
70	C₂×#13063312	C₂²	1	1	yes	characteristic
71	C₂×#13063312	C₂²	1	1	yes	characteristic, complemented
72	C₂×#13063312	C₂²	1	2	yes	complemented
73	C₂×#13063311	C₂²	1	2	yes	—
74	C₂×#13063311	C₂²	1	2	yes	—
75	C₂×#13063311	C₂²	1	2	yes	complemented
76	C₂×#13063311	C₂²	1	2	yes	complemented
77	#124×D₄₃	C₂²	1	16	yes	complemented
78	C₂×#13063308	C₂²	1	2	yes	—
79	C₂×#13063308	C₂²	1	2	yes	complemented
80	C₂×#13063308	C₂²	1	2	yes	complemented
81	C₂×#13063307	C₂²	1	2	yes	—
82	C₂×#13063307	C₂²	1	1	yes	characteristic
83	C₂×#13063307	C₂²	1	1	yes	characteristic
84	C₂×#13063307	C₂²	1	2	yes	complemented
85	C₂×#13063306	C₂²	1	2	yes	complemented
86	C₂×#13063306	C₂²	1	2	yes	complemented
87	C₂×#13063306	C₂²	1	2	yes	complemented
88	C₂×#13063305	C₂²	1	1	yes	characteristic
89	C₂×#13063305	C₂²	1	1	yes	characteristic
90	C₂×#13063305	C₂²	1	2	yes	complemented
91	C₂×#13063304	C₂²	1	1	yes	characteristic, complemented
92	C₂×#13063304	C₂²	1	2	yes	complemented
93	C₂×#13063304	C₂²	1	2	yes	complemented
94	C₂×#13063304	C₂²	1	2	yes	complemented
95	C₂×#13063303	C₂²	1	2	yes	—
96	C₂×#13063303	C₂²	1	2	yes	—
97	C₂×#13063303	C₂²	1	2	yes	complemented
98	C₂×#13063303	C₂²	1	2	yes	complemented
99	C₂×#13063302	C₂²	1	2	yes	complemented
100	C₂×#13063302	C₂²	1	2	yes	complemented
101	C₂×#13063302	C₂²	1	2	yes	complemented
102	C₂×#13063301	C₂²	1	1	yes	characteristic
103	C₂×#13063301	C₂²	1	2	yes	—
104	C₂×#13063301	C₂²	1	2	yes	complemented
105	C₂×#13063301	C₂²	1	2	yes	complemented
106	C₂×#13063299	C₂²	1	1	yes	characteristic
107	C₂×#13063297	C₂²	1	2	yes	—
108	C₂×#13063297	C₂²	1	2	yes	complemented
109	C₂×#13063296	C₂²	1	2	yes	—
110	C₂×#13063296	C₂²	1	1	yes	characteristic
111	C₂×#13063293	C₂²	1	2	yes	—
112	C₂×#13063293	C₂²	1	2	yes	—
113	C₂×Q₈×Dic₄₃	C₂²	1	1	yes	characteristic, complemented
114	C₂×C₄×Dic₈₆	C₂²	1	1	yes	characteristic, complemented
115	C₂×C₄×Dic₈₆	C₂²	1	1	yes	characteristic, complemented
116	C₂×C₄×Dic₈₆	C₂²	1	2	yes	complemented
117	C₂×#13063290	C₂²	1	1	yes	characteristic, complemented
118	C₂×D₄×Dic₄₃	C₂²	1	1	yes	characteristic
119	C₂×#13063287	C₂²	1	1	yes	characteristic
120	C₂×C₄×C₂²⋊D₄₃	C₂²	1	1	yes	characteristic
121	C₂×C₄×C₂²⋊D₄₃	C₂²	1	1	yes	characteristic
122	C₂×C₄×C₂²⋊D₄₃	C₂²	1	2	yes	—
123	C₂×(C₂²⋊D₄₃)⋊C₄	C₂²	1	2	yes	—
124	C₂×(C₂²⋊D₄₃)⋊C₄	C₂²	1	2	yes	complemented
125	C₂×#13063284	C₂²	1	1	yes	characteristic, complemented
126	C₂×#13063284	C₂²	1	1	yes	characteristic, complemented
127	C₂×#13063282	C₂²	1	2	yes	—
128	C₂×#13063282	C₂²	1	2	yes	complemented
129	C₂×#13063281	C₂²	1	2	yes	complemented
130	C₂²×(C₂×D₄₃)⋊C₄	C₂²	1	2	yes	—
131	C₂×C₂²⋊C₄×D₄₃	C₂²	1	2	yes	—
132	C₂×C₂²⋊C₄×D₄₃	C₂²	1	2	yes	—
133	C₂×C₂²⋊C₄×D₄₃	C₂²	1	2	yes	—
134	C₂×C₄²×D₄₃	C₂²	1	1	yes	characteristic
135	C₂²×#41×C₄₃	C₂²	1	1	yes	characteristic
136	C₂³×Q₈×C₄₃	C₂²	1	1	yes	characteristic, complemented
137	C₄₃×#548	C₂²	1	16	yes	complemented
138	C₂×#124×C₄₃	C₂²	1	1	yes	characteristic
139	C₂×#124×C₄₃	C₂²	1	2	yes	complemented
140	C₂×C₂²⋊Q₈×C₄₃	C₂²	1	1	yes	characteristic, complemented
141	C₂×C₂²⋊Q₈×C₄₃	C₂²	1	2	yes	complemented
142	C₂×#121×C₄₃	C₂²	1	1	yes	characteristic
143	C₂×#121×C₄₃	C₂²	1	2	yes	complemented
144	C₂×C₄×Q₈×C₄₃	C₂²	1	1	yes	characteristic, complemented
145	C₂×C₄×D₄×C₄₃	C₂²	1	1	yes	characteristic, complemented
146	C₂×C₄×D₄×C₄₃	C₂²	1	2	yes	complemented
147	C₂⁴×D₄₃	C₂³	1	2	yes	—
148	C₂×#10621898	—	4	4	no	—
149	C₂×#10621898	C₂³	1	8	yes	—
150	C₂²×Dic₈₆	—	4	4	no	—
151	C₂²×Dic₈₆	C₂³	1	1	yes	characteristic
152	C₂²×Dic₈₆	C₂³	1	1	yes	characteristic
153	C₂²×Dic₈₆	C₂³	1	1	yes	characteristic
154	C₂²×Dic₈₆	C₂³	1	2	yes	—
155	C₂²×Dic₈₆	C₂³	1	2	yes	—
156	C₂²×Dic₈₆	C₂³	1	2	yes	—
157	C₂²×Dic₈₆	C₂³	1	8	yes	complemented
158	C₂×Q₈×D₄₃	—	4	4	no	—
159	C₂×Q₈×D₄₃	C₂³	1	8	yes	—
160	C₂²×D₁₇₂	C₂³	1	1	yes	characteristic
161	C₂²×C₂²⋊D₄₃	C₂³	1	1	yes	characteristic
162	C₂²×C₂²⋊D₄₃	C₂³	1	1	yes	characteristic
163	C₂²×C₂²⋊D₄₃	C₂³	1	2	yes	—
164	C₂²×C₂²⋊D₄₃	C₂³	1	2	yes	—
165	C₂²×C₂²⋊D₄₃	C₂³	1	2	yes	—
166	C₂×D₄×D₄₃	—	4	4	no	—
167	C₂×D₄×D₄₃	C₂³	1	8	yes	—
168	C₂³×Dic₄₃	C₂³	1	2	yes	—
169	C₂³×Dic₄₃	C₂³	1	2	yes	—
170	C₂²×C₄×D₄₃	C₂³	1	1	yes	characteristic
171	C₂²×C₄×D₄₃	C₂³	1	1	yes	characteristic
172	C₂²×C₄×D₄₃	C₂³	1	1	yes	characteristic
173	C₂²×C₄×D₄₃	C₂³	1	2	yes	—
174	C₂²×C₄×D₄₃	C₂³	1	2	yes	—
175	C₂²×C₄×D₄₃	C₂³	1	2	yes	—
176	#13063324	C₂³	1	16	yes	complemented
177	#13063324	C₂³	1	8	yes	complemented
178	#13063323	C₂³	1	8	yes	complemented
179	#13063323	C₂³	1	8	yes	complemented
180	#13063323	C₂³	1	16	yes	complemented
181	#13063323	C₂³	1	8	yes	complemented
182	#13063320	C₂³	1	16	yes	complemented
183	#13063320	C₂³	1	16	yes	complemented
184	#13063319	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	#13063318	C₂³	1	8	yes	complemented
189	#13063318	C₂³	1	8	yes	complemented
190	#13063316	C₂³	1	8	yes	complemented
191	#13063315	C₂³	1	16	yes	complemented
192	#13063314	C₂³	1	8	yes	—
193	#13063314	C₂³	1	8	yes	—
194	#13063313	C₂³	1	8	yes	—
195	#13063312	C₂³	1	8	yes	—
196	#13063312	C₂³	1	8	yes	—
197	#13063312	C₂³	1	8	yes	complemented
198	#13063312	C₂³	1	16	yes	complemented
199	#13063311	C₂³	1	16	yes	—
200	#13063311	C₂³	1	16	yes	—
201	#13063311	C₂³	1	16	yes	complemented
202	#13063311	C₂³	1	16	yes	complemented
203	#13063308	C₂³	1	16	yes	—
204	#13063308	C₂³	1	16	yes	complemented
205	#13063308	C₂³	1	16	yes	complemented
206	#13063307	C₂³	1	8	yes	—
207	#13063307	C₂³	1	8	yes	—
208	#13063307	C₂³	1	16	yes	—
209	#13063307	C₂³	1	16	yes	complemented
210	#13063306	C₂³	1	16	yes	complemented
211	#13063306	C₂³	1	16	yes	complemented
212	#13063306	C₂³	1	16	yes	complemented
213	#13063305	C₂³	1	8	yes	—
214	#13063305	C₂³	1	8	yes	—
215	#13063305	C₂³	1	16	yes	complemented
216	#13063304	C₂³	1	8	yes	complemented
217	#13063304	C₂³	1	16	yes	complemented
218	#13063304	C₂³	1	16	yes	complemented
219	#13063304	C₂³	1	16	yes	complemented
220	#13063303	C₂³	1	16	yes	—
221	#13063303	C₂³	1	16	yes	—
222	#13063303	C₂³	1	16	yes	complemented
223	#13063303	C₂³	1	16	yes	complemented
224	#13063302	C₂³	1	16	yes	complemented
225	#13063302	C₂³	1	16	yes	complemented
226	#13063302	C₂³	1	16	yes	complemented
227	#13063301	C₂³	1	16	yes	—
228	#13063301	C₂³	1	8	yes	—
229	#13063301	C₂³	1	16	yes	complemented
230	#13063301	C₂³	1	16	yes	complemented
231	#13063299	C₂³	1	8	yes	—
232	#13063297	C₂³	1	16	yes	—
233	#13063297	C₂³	1	16	yes	complemented
234	#13063296	C₂³	1	16	yes	—
235	#13063296	C₂³	1	8	yes	—
236	#13063293	C₂³	1	16	yes	—
237	#13063293	C₂³	1	16	yes	—
238	Q₈×Dic₄₃	C₂³	1	8	yes	complemented
239	C₄×Dic₈₆	C₂³	1	8	yes	complemented
240	C₄×Dic₈₆	C₂³	1	8	yes	complemented
241	C₄×Dic₈₆	C₂³	1	16	yes	complemented
242	#13063290	C₂³	1	8	yes	complemented
243	D₄×Dic₄₃	C₂³	1	8	yes	—
244	#13063287	C₂³	1	8	yes	—
245	C₄×C₂²⋊D₄₃	C₂³	1	8	yes	—
246	C₄×C₂²⋊D₄₃	C₂³	1	16	yes	—
247	C₄×C₂²⋊D₄₃	C₂³	1	8	yes	—
248	(C₂²⋊D₄₃)⋊C₄	C₂³	1	16	yes	—
249	(C₂²⋊D₄₃)⋊C₄	C₂³	1	16	yes	complemented
250	#13063284	C₂³	1	8	yes	complemented
251	#13063284	C₂³	1	8	yes	complemented
252	#13063282	C₂³	1	16	yes	—
253	#13063282	C₂³	1	16	yes	complemented
254	#13063281	C₂³	1	16	yes	complemented
255	C₂×C₄⋊Dic₄₃	C₂³	1	1	yes	characteristic
256	C₂×C₄⋊Dic₄₃	C₂³	1	1	yes	characteristic
257	C₂×C₄⋊Dic₄₃	C₂³	1	1	yes	characteristic
258	C₂×C₄⋊Dic₄₃	C₂³	1	1	yes	characteristic
259	C₂×C₄⋊Dic₄₃	C₂³	1	1	yes	characteristic
260	C₂×C₄⋊Dic₄₃	C₂³	1	2	yes	—
261	C₂×C₄⋊Dic₄₃	C₂³	1	1	yes	characteristic
262	C₂×C₄⋊Dic₄₃	C₂³	1	2	yes	—
263	C₂×Dic₄₃⋊C₄	C₂³	1	1	yes	characteristic
264	C₂×Dic₄₃⋊C₄	C₂³	1	2	yes	—
265	C₂×Dic₄₃⋊C₄	C₂³	1	2	yes	—
266	C₂×Dic₄₃⋊C₄	C₂³	1	2	yes	—
267	C₂×Dic₄₃⋊C₄	C₂³	1	1	yes	characteristic
268	C₂×Dic₄₃⋊C₄	C₂³	1	2	yes	—
269	C₂×Dic₄₃⋊C₄	C₂³	1	2	yes	—
270	C₂×Dic₄₃⋊C₄	C₂³	1	2	yes	—
271	C₂×Dic₄₃⋊C₄	C₂³	1	2	yes	—
272	C₂×Dic₄₃⋊C₄	C₂³	1	1	yes	characteristic
273	C₂×Dic₄₃⋊C₄	C₂³	1	1	yes	characteristic
274	C₂×Dic₄₃⋊C₄	C₂³	1	2	yes	—
275	C₂×Dic₄₃⋊C₄	C₂³	1	2	yes	—
276	C₂×Dic₄₃⋊C₄	C₂³	1	2	yes	—
277	C₂×Dic₄₃⋊C₄	C₂³	1	2	yes	—
278	C₂×C₂²⋊Dic₄₃	C₂³	1	2	yes	—
279	C₂×C₂²⋊Dic₄₃	C₂³	1	2	yes	—
280	C₂×C₂²⋊Dic₄₃	C₂³	1	2	yes	—
281	C₂×C₂²⋊Dic₄₃	C₂³	1	2	yes	—
282	C₂×C₂²⋊Dic₄₃	C₂³	1	1	yes	characteristic
283	C₂×C₂²⋊Dic₄₃	C₂³	1	1	yes	characteristic
284	C₂×C₂²⋊Dic₄₃	C₂³	1	1	yes	characteristic
285	C₂×C₂²⋊Dic₄₃	C₂³	1	1	yes	characteristic
286	C₂×C₂²⋊Dic₄₃	C₂³	1	1	yes	characteristic
287	C₂×C₂²⋊Dic₄₃	C₂³	1	1	yes	characteristic
288	C₂×C₂²⋊Dic₄₃	C₂³	1	2	yes	—
289	C₂×C₂²⋊Dic₄₃	C₂³	1	2	yes	—
290	C₂×(C₂×D₄₃)⋊C₄	C₂³	1	16	yes	—
291	C₂×(C₂×D₄₃)⋊C₄	C₂³	1	1	yes	characteristic
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	C₂×(C₂×D₄₃)⋊C₄	C₂³	1	2	yes	—
296	C₂×(C₂×D₄₃)⋊C₄	C₂³	1	2	yes	—
297	C₂×(C₂×D₄₃)⋊C₄	C₂³	1	1	yes	characteristic
298	C₂×(C₂×D₄₃)⋊C₄	C₂³	1	2	yes	—
299	C₂×(C₂×D₄₃)⋊C₄	C₂³	1	2	yes	—
300	C₂×(C₂×D₄₃)⋊C₄	C₂³	1	2	yes	—
301	C₂×(C₂×D₄₃)⋊C₄	C₂³	1	2	yes	—
302	C₂×(C₂×D₄₃)⋊C₄	C₂³	1	2	yes	—
303	C₂²⋊C₄×D₄₃	C₂³	1	16	yes	—
304	C₂²⋊C₄×D₄₃	C₂³	1	16	yes	—
305	C₂²⋊C₄×D₄₃	C₂³	1	16	yes	—
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	2	yes	—
310	C₂×C₄×Dic₄₃	C₂³	1	2	yes	—
311	C₂×C₄×Dic₄₃	C₂³	1	2	yes	—
312	C₂×C₄×Dic₄₃	C₂³	1	1	yes	characteristic
313	C₂×C₄×Dic₄₃	C₂³	1	1	yes	characteristic
314	C₄²×D₄₃	C₂³	1	8	yes	—
315	C₂×#41×C₄₃	—	4	4	no	—
316	C₂×#41×C₄₃	C₂³	1	8	yes	—
317	C₂²×Q₈×C₄₃	—	4	4	no	—
318	C₂²×Q₈×C₄₃	C₂³	1	1	yes	characteristic
319	C₂²×Q₈×C₄₃	C₂³	1	1	yes	characteristic
320	C₂²×Q₈×C₄₃	C₂³	1	2	yes	—
321	C₂²×Q₈×C₄₃	C₂³	1	8	yes	complemented
322	C₂²×D₄×C₄₃	C₂³	1	1	yes	characteristic
323	C₂²×D₄×C₄₃	C₂³	1	2	yes	—
324	C₂²×D₄×C₄₃	C₂³	1	1	yes	characteristic
325	C₂²×D₄×C₄₃	C₂³	1	2	yes	—
326	C₂³×C₄×C₄₃	C₂³	1	1	yes	characteristic
327	C₂³×C₄×C₄₃	C₂³	1	1	yes	characteristic
328	C₂³×C₄×C₄₃	C₂³	1	2	yes	—
329	C₂³×C₄×C₄₃	C₂³	1	2	yes	—
330	#124×C₄₃	C₂³	1	8	yes	—
331	#124×C₄₃	C₂³	1	16	yes	complemented
332	C₂²⋊Q₈×C₄₃	C₂³	1	8	yes	complemented
333	C₂²⋊Q₈×C₄₃	C₂³	1	16	yes	complemented
334	#121×C₄₃	C₂³	1	8	yes	—
335	#121×C₄₃	C₂³	1	16	yes	complemented
336	C₄×Q₈×C₄₃	C₂³	1	8	yes	complemented
337	C₄×D₄×C₄₃	C₂³	1	8	yes	complemented
338	C₄×D₄×C₄₃	C₂³	1	16	yes	complemented
339	C₂×C₄⋊C₄×C₄₃	C₂³	1	2	yes	—
340	C₂×C₄⋊C₄×C₄₃	C₂³	1	1	yes	characteristic
341	C₂×C₄⋊C₄×C₄₃	C₂³	1	1	yes	characteristic
342	C₂×C₄⋊C₄×C₄₃	C₂³	1	2	yes	—
343	C₂×C₂²⋊C₄×C₄₃	C₂³	1	1	yes	characteristic
344	C₂×C₂²⋊C₄×C₄₃	C₂³	1	2	yes	—
345	C₂×C₂²⋊C₄×C₄₃	C₂³	1	1	yes	characteristic
346	C₂×C₂²⋊C₄×C₄₃	C₂³	1	2	yes	—
347	C₂×C₂²⋊C₄×C₄₃	C₂³	1	2	yes	—
348	C₂×C₂²⋊C₄×C₄₃	C₂³	1	2	yes	—
349	C₂×C₄²×C₄₃	C₂³	1	1	yes	characteristic
350	C₂×C₄²×C₄₃	C₂³	1	2	yes	—
351	C₂⁴×C₄₃	C₂⁴	1	2	yes	—
352	C₂⁴×C₄₃	C₂⁴	1	1	yes	characteristic
353	C₂⁴×C₄₃	C₂⁴	1	1	yes	characteristic
354	C₂³×D₄₃	—	2	8	no	—
355	C₂³×D₄₃	—	4	4	no	—
356	C₂³×D₄₃	—	4	4	no	—
357	C₂³×D₄₃	C₂⁴	1	2	yes	—
358	C₂³×D₄₃	C₂⁴	1	1	yes	characteristic
359	C₂³×D₄₃	C₂⁴	1	8	yes	—
360	#41×C₄₃	—	4	16	no	—
361	C₂×Q₈×C₄₃	—	2	4	no	—
362	C₂×Q₈×C₄₃	—	2	4	no	—
363	C₂×Q₈×C₄₃	—	4	4	no	—
364	C₂×Q₈×C₄₃	—	4	16	no	—
365	C₂×Q₈×C₄₃	C₂⁴	1	4	yes	—
366	C₂×Q₈×C₄₃	C₂⁴	1	4	yes	—
367	C₂×Q₈×C₄₃	C₂⁴	1	8	yes	—
368	C₂×D₄×C₄₃	—	2	4	no	—
369	C₂×D₄×C₄₃	—	4	4	no	—
370	C₂×D₄×C₄₃	—	4	2	no	—
371	C₂×D₄×C₄₃	—	4	4	no	—
372	C₂×D₄×C₄₃	C₂⁴	1	4	yes	—
373	C₂×D₄×C₄₃	C₂⁴	1	8	yes	—
374	C₂×D₄×C₄₃	C₂⁴	1	4	yes	—
375	C₂×D₄×C₄₃	C₂⁴	1	8	yes	—
376	C₂²×C₄×C₄₃	—	2	4	no	—
377	C₂²×C₄×C₄₃	—	2	4	no	—
378	C₂²×C₄×C₄₃	—	4	4	no	—
379	C₂²×C₄×C₄₃	—	4	4	no	—
380	C₂²×C₄×C₄₃	C₂⁴	1	1	yes	characteristic
381	C₂²×C₄×C₄₃	C₂⁴	1	1	yes	characteristic
382	C₂²×C₄×C₄₃	C₂⁴	1	2	yes	—
383	C₂²×C₄×C₄₃	C₂⁴	1	2	yes	—
384	C₂²×C₄×C₄₃	C₂⁴	1	2	yes	—
385	C₂²×C₄×C₄₃	C₂⁴	1	1	yes	characteristic
386	C₂²×C₄×C₄₃	C₂⁴	1	1	yes	characteristic
387	C₂²×C₄×C₄₃	C₂⁴	1	4	yes	—
388	C₂²×C₄×C₄₃	C₂⁴	1	4	yes	—
389	C₂²×C₄×C₄₃	C₂⁴	1	8	yes	—
390	C₂²×C₄×C₄₃	C₂⁴	1	8	yes	—
391	C₂²×C₄×C₄₃	C₂⁴	1	1	yes	characteristic
392	C₂×C₂²⋊D₄₃	—	2	4	no	—
393	C₂×C₂²⋊D₄₃	—	2	4	no	—
394	C₂×C₂²⋊D₄₃	—	4	4	no	—
395	C₂×C₂²⋊D₄₃	—	4	4	no	—
396	C₂×C₂²⋊D₄₃	—	4	4	no	—
397	C₂×C₂²⋊D₄₃	C₂⁴	1	4	yes	—
398	C₂×C₂²⋊D₄₃	C₂⁴	1	4	yes	—
399	C₂×C₂²⋊D₄₃	C₂⁴	1	8	yes	—
400	C₂×C₂²⋊D₄₃	C₂⁴	1	8	yes	—
401	C₂×C₂²⋊D₄₃	C₂⁴	1	8	yes	—
402	C₂²×Dic₄₃	—	4	4	no	—
403	C₂²×Dic₄₃	—	4	4	no	—
404	C₂²×Dic₄₃	C₂⁴	1	1	yes	characteristic
405	C₂²×Dic₄₃	C₂⁴	1	1	yes	characteristic
406	C₂²×Dic₄₃	C₂⁴	1	1	yes	characteristic
407	C₂²×Dic₄₃	C₂⁴	1	1	yes	characteristic
408	C₂²×Dic₄₃	C₂⁴	1	2	yes	—
409	C₂²×Dic₄₃	C₂⁴	1	1	yes	characteristic
410	C₂²×Dic₄₃	C₂⁴	1	1	yes	characteristic
411	C₂²×Dic₄₃	C₂⁴	1	2	yes	—
412	C₂²×Dic₄₃	C₂⁴	1	1	yes	characteristic
413	C₂²×Dic₄₃	C₂⁴	1	2	yes	—
414	C₂²×Dic₄₃	C₂⁴	1	8	yes	—
415	C₂²×Dic₄₃	C₂⁴	1	8	yes	—
416	Q₈×D₄₃	—	4	16	no	—
417	D₄×D₄₃	—	4	16	no	—
418	#10621898	—	4	16	no	—
419	C₂×D₁₇₂	—	2	4	no	—
420	C₂×D₁₇₂	C₂⁴	1	4	yes	—
421	C₂×C₄×D₄₃	—	2	4	no	—
422	C₂×C₄×D₄₃	—	2	4	no	—
423	C₂×C₄×D₄₃	—	4	2	no	—
424	C₂×C₄×D₄₃	—	4	4	no	—
425	C₂×C₄×D₄₃	—	4	4	no	—
426	C₂×C₄×D₄₃	—	4	4	no	—
427	C₂×C₄×D₄₃	C₂⁴	1	4	yes	—
428	C₂×C₄×D₄₃	C₂⁴	1	4	yes	—
429	C₂×C₄×D₄₃	C₂⁴	1	4	yes	—
430	C₂×C₄×D₄₃	C₂⁴	1	8	yes	—
431	C₂×C₄×D₄₃	C₂⁴	1	8	yes	—
432	C₂×C₄×D₄₃	C₂⁴	1	8	yes	—
433	C₂×Dic₈₆	—	2	4	no	—
434	C₂×Dic₈₆	—	2	4	no	—
435	C₂×Dic₈₆	—	4	16	no	—
436	C₂×Dic₈₆	—	4	4	no	—
437	C₂×Dic₈₆	—	4	4	no	—
438	C₂×Dic₈₆	—	4	4	no	—
439	C₂×Dic₈₆	—	4	2	no	—
440	C₂×Dic₈₆	C₂⁴	1	4	yes	—
441	C₂×Dic₈₆	C₂⁴	1	4	yes	—
442	C₂×Dic₈₆	C₂⁴	1	4	yes	—
443	C₂×Dic₈₆	C₂⁴	1	8	yes	—
444	C₂×Dic₈₆	C₂⁴	1	8	yes	—
445	C₂×Dic₈₆	C₂⁴	1	8	yes	—
446	C₄⋊C₄×C₄₃	C₂⁴	1	8	yes	—
447	C₄⋊C₄×C₄₃	C₂⁴	1	4	yes	—
448	C₄⋊C₄×C₄₃	C₂⁴	1	4	yes	—
449	C₄⋊C₄×C₄₃	C₂⁴	1	8	yes	—
450	C₂²⋊C₄×C₄₃	C₂⁴	1	4	yes	—
451	C₂²⋊C₄×C₄₃	C₂⁴	1	8	yes	—
452	C₂²⋊C₄×C₄₃	C₂⁴	1	4	yes	—
453	C₂²⋊C₄×C₄₃	C₂⁴	1	8	yes	—
454	C₂²⋊C₄×C₄₃	C₂⁴	1	8	yes	—
455	C₂²⋊C₄×C₄₃	C₂⁴	1	8	yes	—
456	C₄²×C₄₃	C₂⁴	1	4	yes	—
457	C₄²×C₄₃	C₂⁴	1	8	yes	—
458	C₂²⋊Dic₄₃	C₂⁴	1	8	yes	—
459	C₂²⋊Dic₄₃	C₂⁴	1	8	yes	—
460	C₂²⋊Dic₄₃	C₂⁴	1	8	yes	—
461	C₂²⋊Dic₄₃	C₂⁴	1	8	yes	—
462	C₂²⋊Dic₄₃	C₂⁴	1	4	yes	—
463	C₂²⋊Dic₄₃	C₂⁴	1	4	yes	—
464	C₂²⋊Dic₄₃	C₂⁴	1	4	yes	—
465	C₂²⋊Dic₄₃	C₂⁴	1	4	yes	—
466	C₂²⋊Dic₄₃	C₂⁴	1	4	yes	—
467	C₂²⋊Dic₄₃	C₂⁴	1	4	yes	—
468	C₂²⋊Dic₄₃	C₂⁴	1	8	yes	—
469	C₂²⋊Dic₄₃	C₂⁴	1	8	yes	—
470	(C₂×D₄₃)⋊C₄	C₂⁴	1	4	yes	—
471	(C₂×D₄₃)⋊C₄	C₂⁴	1	8	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	(C₂×D₄₃)⋊C₄	C₂⁴	1	4	yes	—
477	(C₂×D₄₃)⋊C₄	C₂⁴	1	8	yes	—
478	(C₂×D₄₃)⋊C₄	C₂⁴	1	8	yes	—
479	(C₂×D₄₃)⋊C₄	C₂⁴	1	8	yes	—
480	(C₂×D₄₃)⋊C₄	C₂⁴	1	8	yes	—
481	(C₂×D₄₃)⋊C₄	C₂⁴	1	8	yes	—
482	C₄⋊Dic₄₃	C₂⁴	1	4	yes	—
483	C₄⋊Dic₄₃	C₂⁴	1	4	yes	—
484	C₄⋊Dic₄₃	C₂⁴	1	4	yes	—
485	C₄⋊Dic₄₃	C₂⁴	1	4	yes	—
486	C₄⋊Dic₄₃	C₂⁴	1	4	yes	—
487	C₄⋊Dic₄₃	C₂⁴	1	8	yes	—
488	C₄⋊Dic₄₃	C₂⁴	1	4	yes	—
489	C₄⋊Dic₄₃	C₂⁴	1	8	yes	—
490	Dic₄₃⋊C₄	C₂⁴	1	4	yes	—
491	Dic₄₃⋊C₄	C₂⁴	1	8	yes	—
492	Dic₄₃⋊C₄	C₂⁴	1	8	yes	—
493	Dic₄₃⋊C₄	C₂⁴	1	8	yes	—
494	Dic₄₃⋊C₄	C₂⁴	1	4	yes	—
495	Dic₄₃⋊C₄	C₂⁴	1	8	yes	—
496	Dic₄₃⋊C₄	C₂⁴	1	8	yes	—
497	Dic₄₃⋊C₄	C₂⁴	1	8	yes	—
498	Dic₄₃⋊C₄	C₂⁴	1	8	yes	—
499	Dic₄₃⋊C₄	C₂⁴	1	4	yes	—
500	Dic₄₃⋊C₄	C₂⁴	1	4	yes	—
501	Dic₄₃⋊C₄	C₂⁴	1	8	yes	—
502	Dic₄₃⋊C₄	C₂⁴	1	8	yes	—
503	Dic₄₃⋊C₄	C₂⁴	1	8	yes	—
504	Dic₄₃⋊C₄	C₂⁴	1	8	yes	—
505	C₄×Dic₄₃	C₂⁴	1	4	yes	—
506	C₄×Dic₄₃	C₂⁴	1	4	yes	—
507	C₄×Dic₄₃	C₂⁴	1	4	yes	—
508	C₄×Dic₄₃	C₂⁴	1	8	yes	—
509	C₄×Dic₄₃	C₂⁴	1	8	yes	—
510	C₄×Dic₄₃	C₂⁴	1	8	yes	—
511	C₄×Dic₄₃	C₂⁴	1	4	yes	—
512	C₄×Dic₄₃	C₂⁴	1	4	yes	—
513	C₂³×C₄₃	—	2	2	no	—
514	C₂³×C₄₃	—	2	2	no	—
515	C₂³×C₄₃	—	2	4	no	—
516	C₂³×C₄₃	—	2	2	no	—
517	C₂³×C₄₃	—	2	2	no	—
518	C₂³×C₄₃	—	2	4	no	—
519	C₂³×C₄₃	—	2	4	no	—
520	C₂³×C₄₃	—	2	2	no	—
521	C₂³×C₄₃	—	2	2	no	—
522	C₂³×C₄₃	C₂⁵	1	4	yes	—
523	C₂³×C₄₃	C₂⁵	1	2	yes	—
524	C₂³×C₄₃	C₂⁵	1	2	yes	—
525	C₂³×C₄₃	C₂⁵	1	1	yes	characteristic
526	C₂²×D₄₃	—	2	2	no	—
527	C₂²×D₄₃	—	2	2	no	—
528	C₂²×D₄₃	—	2	4	no	—
529	C₂²×D₄₃	—	2	4	no	—
530	C₂²×D₄₃	—	2	4	no	—
531	C₂²×D₄₃	—	2	16	no	—
532	C₂²×D₄₃	—	4	8	no	—
533	C₂²×D₄₃	—	4	8	no	—
534	C₂²×D₄₃	—	8	16	no	—
535	C₂²×D₄₃	2₋¹⁺⁴	1	4	yes	—
536	C₂²×D₄₃	C₂⁵	1	4	yes	—
537	C₂²×D₄₃	C₂⁵	1	2	yes	—
538	Q₈×C₄₃	—	2	8	no	—
539	Q₈×C₄₃	—	2	8	no	—
540	Q₈×C₄₃	—	4	8	no	—
541	D₄×C₄₃	—	2	8	no	—
542	D₄×C₄₃	—	4	8	no	—
543	D₄×C₄₃	—	4	4	no	—
544	D₄×C₄₃	—	4	8	no	—
545	C₂×C₄×C₄₃	—	2	2	no	—
546	C₂×C₄×C₄₃	—	2	4	no	—
547	C₂×C₄×C₄₃	—	2	2	no	—
548	C₂×C₄×C₄₃	—	2	4	no	—
549	C₂×C₄×C₄₃	—	2	2	no	—
550	C₂×C₄×C₄₃	—	2	4	no	—
551	C₂×C₄×C₄₃	—	2	2	no	—
552	C₂×C₄×C₄₃	—	2	8	no	—
553	C₂×C₄×C₄₃	—	2	8	no	—
554	C₂×C₄×C₄₃	—	4	8	no	—
555	C₂×C₄×C₄₃	—	4	8	no	—
556	C₂×C₄×C₄₃	H(5,𝔽₂)	1	4	yes	—
557	C₂×C₄×C₄₃	C₂⁵	1	2	yes	—
558	C₂×C₄×C₄₃	C₂⁵	1	2	yes	—
559	C₂×C₄×C₄₃	C₂⁵	1	4	yes	—
560	C₂×C₄×C₄₃	C₂⁵	1	4	yes	—
561	C₂×C₄×C₄₃	C₂⁵	1	4	yes	—
562	C₂×C₄×C₄₃	C₂⁵	1	2	yes	—
563	C₂×C₄×C₄₃	C₂⁵	1	2	yes	—
564	C₂×C₄×C₄₃	C₂⁵	1	2	yes	—
565	C₂²⋊D₄₃	—	2	8	no	—
566	C₂²⋊D₄₃	—	2	8	no	—
567	C₂²⋊D₄₃	—	4	8	no	—
568	C₂²⋊D₄₃	—	4	8	no	—
569	C₂²⋊D₄₃	—	4	8	no	—
570	C₂×Dic₄₃	—	2	4	no	—
571	C₂×Dic₄₃	—	2	4	no	—
572	C₂×Dic₄₃	—	2	2	no	—
573	C₂×Dic₄₃	—	2	2	no	—
574	C₂×Dic₄₃	—	2	2	no	—
575	C₂×Dic₄₃	—	2	2	no	—
576	C₂×Dic₄₃	—	2	2	no	—
577	C₂×Dic₄₃	—	2	2	no	—
578	C₂×Dic₄₃	—	2	2	no	—
579	C₂×Dic₄₃	—	2	4	no	—
580	C₂×Dic₄₃	—	4	8	no	—
581	C₂×Dic₄₃	—	4	8	no	—
582	C₂×Dic₄₃	C₂⁵	1	2	yes	—
583	C₂×Dic₄₃	C₂⁵	1	2	yes	—
584	C₂×Dic₄₃	C₂⁵	1	2	yes	—
585	C₂×Dic₄₃	C₂⁵	1	4	yes	—
586	C₂×Dic₄₃	C₂⁵	1	2	yes	—
587	C₂×Dic₄₃	C₂⁵	1	2	yes	—
588	C₂×Dic₄₃	C₂⁵	1	2	yes	—
589	C₂×Dic₄₃	C₂⁵	1	4	yes	—
590	C₂×Dic₄₃	C₂⁵	1	4	yes	—
591	C₂×Dic₄₃	C₂⁵	1	2	yes	—
592	D₁₇₂	—	2	8	no	—
593	C₄×D₄₃	—	2	8	no	—
594	C₄×D₄₃	—	2	8	no	—
595	C₄×D₄₃	—	4	4	no	—
596	C₄×D₄₃	—	4	8	no	—
597	C₄×D₄₃	—	4	8	no	—
598	C₄×D₄₃	—	4	8	no	—
599	Dic₈₆	—	2	8	no	—
600	Dic₈₆	—	2	8	no	—
601	Dic₈₆	—	4	8	no	—
602	Dic₈₆	—	4	8	no	—
603	Dic₈₆	—	4	4	no	—
604	Dic₈₆	—	4	8	no	—
605	C₂×#3561	—	43	1	no	maximal, Sylow
606	C₂²×C₄₃	—	2	4	no	—
607	C₂²×C₄₃	—	2	2	no	—
608	C₂²×C₄₃	—	2	2	no	—
609	C₂²×C₄₃	—	2	4	no	—
610	C₂²×C₄₃	—	2	2	no	—
611	C₂²×C₄₃	—	2	2	no	—
612	C₂²×C₄₃	—	2	4	no	—
613	C₂²×C₄₃	—	2	2	no	—
614	C₂²×C₄₃	—	2	2	no	—
615	C₂²×C₄₃	—	4	8	no	—
616	C₂²×C₄₃	—	4	4	no	—
617	C₂²×C₄₃	—	4	4	no	—
618	C₂²×C₄₃	C₂×H(5,𝔽₂)	1	2	yes	—
619	C₂²×C₄₃	C₂×2₋¹⁺⁴	1	2	yes	—
620	C₂²×C₄₃	#585	1	2	yes	—
621	C₂²×C₄₃	C₂⁶	1	1	yes	characteristic
622	C₂×D₄₃	—	2	2	no	—
623	C₂×D₄₃	—	2	2	no	—
624	C₂×D₄₃	—	2	8	no	—
625	C₂×D₄₃	—	2	4	no	—
626	C₂×D₄₃	—	2	4	no	—
627	C₂×D₄₃	—	2	4	no	—
628	C₂×D₄₃	—	4	8	no	—
629	C₂×D₄₃	—	8	16	no	—
630	C₂×D₄₃	C₂×2₋¹⁺⁴	1	4	yes	—
631	C₄×C₄₃	—	2	2	no	—
632	C₄×C₄₃	—	2	4	no	—
633	C₄×C₄₃	—	2	2	no	—
634	C₄×C₄₃	—	2	4	no	—
635	C₄×C₄₃	—	2	2	no	—
636	C₄×C₄₃	—	2	4	no	—
637	C₄×C₄₃	—	2	2	no	—
638	C₄×C₄₃	C₂×H(5,𝔽₂)	1	4	yes	—
639	Dic₄₃	—	2	4	no	—
640	Dic₄₃	—	2	4	no	—
641	Dic₄₃	—	2	2	no	—
642	Dic₄₃	—	2	2	no	—
643	Dic₄₃	—	2	2	no	—
644	Dic₄₃	—	2	2	no	—
645	Dic₄₃	—	2	2	no	—
646	Dic₄₃	—	2	2	no	—
647	Dic₄₃	—	2	2	no	—
648	Dic₄₃	—	2	4	no	—
649	#3561	—	43	32	no	—
650	C₂×#563	—	43	2	no	—
651	C₂×#562	—	43	2	no	—
652	C₂×#556	—	43	1	no	—
653	C₂×#556	—	43	1	no	—
654	C₂×#551	—	43	2	no	—
655	C₂×#551	—	43	2	no	—
656	C₂×D₄×Q₈	—	43	1	no	—
657	C₂×D₄×Q₈	—	43	1	no	—
658	C₂×#548	—	43	1	no	—
659	C₂×#548	D₄₃	1	1	yes	characteristic, complemented
660	C₂×#546	—	43	1	no	—
661	C₂×#546	—	43	1	no	—
662	C₂×#543	—	43	2	no	—
663	C₂×#542	—	43	2	no	—
664	C₂×#542	—	43	1	no	—
665	C₂×#542	—	43	1	no	—
666	C₂×#542	—	43	2	no	—
667	C₂×#538	—	43	2	no	—
668	C₂×#536	—	43	1	no	—
669	C₂×#536	—	43	1	no	—
670	C₂×#533	—	43	1	no	—
671	C₂×#529	—	43	1	no	—
672	C₂²×#124	—	43	1	no	—
673	C₂×C₄₃	—	4	4	no	—
674	C₂×C₄₃	—	4	2	no	—
675	C₂×C₄₃	—	4	2	no	—
676	C₂×C₄₃	#3561	1	4	yes	complemented
677	C₂×C₄₃	C₂²×H(5,𝔽₂)	1	1	yes	characteristic
678	C₂×C₄₃	C₂²×2₋¹⁺⁴	1	1	yes	characteristic
679	C₂×C₄₃	C₂×#585	1	1	yes	characteristic
680	D₄₃	—	2	4	no	—
681	D₄₃	—	4	4	no	—
682	C₂²×#41	—	43	1	no	—
683	C₂²×#41	C₂×D₄₃	1	1	yes	characteristic
684	C₂³×Q₈	—	43	1	no	—
685	C₂³×Q₈	—	43	1	no	—
686	C₂³×Q₈	C₂×D₄₃	1	1	yes	characteristic, complemented
687	C₂³×D₄	—	43	1	no	—
688	#563	—	43	32	no	—
689	#562	—	43	32	no	—
690	#556	—	43	16	no	—
691	#556	—	43	16	no	—
692	#551	—	43	32	no	—
693	#551	—	43	32	no	—
694	D₄×Q₈	—	43	16	no	—
695	D₄×Q₈	—	43	16	no	—
696	#548	—	43	16	no	—
697	#548	C₂×D₄₃	1	16	yes	complemented
698	#546	—	43	16	no	—
699	#546	—	43	16	no	—
700	#543	—	43	32	no	—
701	#542	—	43	32	no	—
702	#542	—	43	16	no	—
703	#542	—	43	16	no	—
704	#542	—	43	32	no	—
705	#538	—	43	32	no	—
706	#536	—	43	16	no	—
707	#536	—	43	16	no	—
708	#533	—	43	16	no	—
709	C₂×C₄⋊Q₈	—	43	1	no	—
710	C₂×C₄⋊Q₈	—	43	1	no	—
711	C₂×C₄⋊Q₈	—	43	1	no	—
712	C₂×C₄⋊Q₈	—	43	2	no	—
713	C₂×C₄⋊Q₈	—	43	1	no	—
714	C₂×C₄⋊Q₈	—	43	2	no	—
715	#529	—	43	16	no	—
716	C₂×#126	—	43	2	no	—
717	C₂×#126	—	43	2	no	—
718	C₂×#126	—	43	1	no	—
719	C₂×#126	—	43	1	no	—
720	C₂×#126	—	43	2	no	—
721	C₂×#126	—	43	2	no	—
722	C₂×#126	—	43	2	no	—
723	C₂×#126	—	43	2	no	—
724	C₂×#125	—	43	1	no	—
725	C₂×#125	—	43	2	no	—
726	C₂×#124	—	43	1	no	—
727	C₂×#124	—	43	1	no	—
728	C₂×#124	—	43	1	no	—
729	C₂×#124	—	43	1	no	—
730	C₂×#124	—	43	1	no	—
731	C₂×#124	—	43	2	no	—
732	C₂×#124	—	43	16	no	—
733	C₂×#124	—	43	2	no	—
734	C₂×#124	—	43	2	no	—
735	C₂×#124	—	43	2	no	—
736	C₂×#124	—	43	2	no	—
737	C₂×#124	—	43	1	no	—
738	C₂×#124	C₂×D₄₃	1	1	yes	characteristic
739	C₂×#124	C₂×D₄₃	1	2	yes	complemented
740	C₂×#123	—	43	2	no	—
741	C₂×#123	—	43	2	no	—
742	C₂×#123	—	43	2	no	—
743	C₂×#123	—	43	2	no	—
744	C₂×#123	—	43	2	no	—
745	C₂×#123	—	43	2	no	—
746	C₂×#123	—	43	1	no	—
747	C₂×#123	—	43	1	no	—
748	C₂×#123	—	43	2	no	—
749	C₂×#123	—	43	2	no	—
750	C₂×C₂²⋊Q₈	—	43	1	no	—
751	C₂×C₂²⋊Q₈	—	43	2	no	—
752	C₂×C₂²⋊Q₈	—	43	2	no	—
753	C₂×C₂²⋊Q₈	—	43	2	no	—
754	C₂×C₂²⋊Q₈	—	43	2	no	—
755	C₂×C₂²⋊Q₈	—	43	2	no	—
756	C₂×C₂²⋊Q₈	—	43	1	no	—
757	C₂×C₂²⋊Q₈	—	43	2	no	—
758	C₂×C₂²⋊Q₈	—	43	2	no	—
759	C₂×C₂²⋊Q₈	—	43	2	no	—
760	C₂×C₂²⋊Q₈	—	43	2	no	—
761	C₂×C₂²⋊Q₈	—	43	2	no	—
762	C₂×C₂²⋊Q₈	—	43	1	no	—
763	C₂×C₂²⋊Q₈	—	43	1	no	—
764	C₂×C₂²⋊Q₈	—	43	2	no	—
765	C₂×C₂²⋊Q₈	—	43	2	no	—
766	C₂×C₂²⋊Q₈	—	43	2	no	—
767	C₂×C₂²⋊Q₈	—	43	2	no	—
768	C₂×C₂²⋊Q₈	C₂×D₄₃	1	1	yes	characteristic, complemented
769	C₂×C₂²⋊Q₈	C₂×D₄₃	1	2	yes	complemented
770	C₂×#121	—	43	1	no	—
771	C₂×#121	—	43	2	no	—
772	C₂×#121	—	43	2	no	—
773	C₂×#121	—	43	2	no	—
774	C₂×#121	—	43	1	no	—
775	C₂×#121	C₂×D₄₃	1	1	yes	characteristic
776	C₂×#121	C₂×D₄₃	1	2	yes	complemented
777	C₂×#120	—	43	2	no	—
778	C₂×#120	—	43	2	no	—
779	C₂×C₄×Q₈	—	43	1	no	—
780	C₂×C₄×Q₈	—	43	1	no	—
781	C₂×C₄×Q₈	—	43	1	no	—
782	C₂×C₄×Q₈	—	43	2	no	—
783	C₂×C₄×Q₈	—	43	1	no	—
784	C₂×C₄×Q₈	C₂×D₄₃	1	1	yes	characteristic, complemented
785	C₂×C₄×D₄	—	43	1	no	—
786	C₂×C₄×D₄	—	43	1	no	—
787	C₂×C₄×D₄	—	43	1	no	—
788	C₂×C₄×D₄	—	43	2	no	—
789	C₂×C₄×D₄	—	43	1	no	—
790	C₂×C₄×D₄	—	43	2	no	—
791	C₂×C₄×D₄	—	43	2	no	—
792	C₂×C₄×D₄	C₂×D₄₃	1	1	yes	characteristic, complemented
793	C₂×C₄×D₄	C₂×D₄₃	1	2	yes	complemented
794	C₂×#117	—	43	1	no	—
795	C₂×#117	—	43	1	no	—
796	C₂×#117	—	43	2	no	—
797	C₂×#117	—	43	2	no	—
798	C₂×#117	—	43	2	no	—
799	C₂²×C₂²⋊C₄	—	43	2	no	—
800	C₂²×C₂²⋊C₄	—	43	2	no	—
801	C₂²×C₂²⋊C₄	—	43	2	no	—
802	C₂²×C₂²⋊C₄	—	43	2	no	—
803	C₂²×C₄²	—	43	1	no	—
804	C₄₃	C₂×#3561	1	1	yes	characteristic, complemented, Sylow
805	C₂⁵	—	43	2	no	—
806	C₂×#41	—	4	4	no	—
807	C₂×#41	—	43	8	no	—
808	C₂×#41	—	172	4	no	—
809	C₂×#41	C₂²×D₄₃	1	8	yes	—
810	C₂²×Q₈	—	4	4	no	—
811	C₂²×Q₈	—	43	8	no	—
812	C₂²×Q₈	—	43	1	no	—
813	C₂²×Q₈	—	43	1	no	—
814	C₂²×Q₈	—	43	1	no	—
815	C₂²×Q₈	—	43	2	no	—
816	C₂²×Q₈	—	43	2	no	—
817	C₂²×Q₈	—	43	2	no	—
818	C₂²×Q₈	—	43	8	no	—
819	C₂²×Q₈	—	172	4	no	—
820	C₂²×Q₈	—	172	4	no	—
821	C₂²×Q₈	C₂²×D₄₃	1	1	yes	characteristic
822	C₂²×Q₈	C₂²×D₄₃	1	1	yes	characteristic
823	C₂²×Q₈	C₂²×D₄₃	1	2	yes	—
824	C₂²×Q₈	C₂²×D₄₃	1	8	yes	complemented
825	C₂²×D₄	—	43	1	no	—
826	C₂²×D₄	—	43	1	no	—
827	C₂²×D₄	—	43	2	no	—
828	C₂²×D₄	—	43	2	no	—
829	C₂²×D₄	—	43	2	no	—
830	C₂²×D₄	—	43	8	no	—
831	C₂²×D₄	—	43	1	no	—
832	C₂²×D₄	—	172	4	no	—
833	C₂²×D₄	C₂²×D₄₃	1	1	yes	characteristic
834	C₂²×D₄	C₂²×D₄₃	1	2	yes	—
835	C₂²×D₄	C₂²×D₄₃	1	1	yes	characteristic
836	C₂²×D₄	C₂²×D₄₃	1	2	yes	—
837	C₂³×C₄	—	43	2	no	—
838	C₂³×C₄	—	43	2	no	—
839	C₂³×C₄	—	43	1	no	—
840	C₂³×C₄	—	43	1	no	—
841	C₂³×C₄	—	43	2	no	—
842	C₂³×C₄	—	43	1	no	—
843	C₂³×C₄	—	43	2	no	—
844	C₂³×C₄	—	43	2	no	—
845	C₂³×C₄	C₂²×D₄₃	1	1	yes	characteristic
846	C₂³×C₄	C₂²×D₄₃	1	1	yes	characteristic
847	C₂³×C₄	C₂²×D₄₃	1	2	yes	—
848	C₂³×C₄	C₂²×D₄₃	1	2	yes	—
849	C₄⋊Q₈	—	43	8	no	—
850	C₄⋊Q₈	—	43	8	no	—
851	C₄⋊Q₈	—	43	8	no	—
852	C₄⋊Q₈	—	43	16	no	—
853	C₄⋊Q₈	—	43	8	no	—
854	C₄⋊Q₈	—	43	16	no	—
855	#126	—	43	16	no	—
856	#126	—	43	16	no	—
857	#126	—	43	8	no	—
858	#126	—	43	8	no	—
859	#126	—	43	16	no	—
860	#126	—	43	16	no	—
861	#126	—	43	16	no	—
862	#126	—	43	16	no	—
863	#125	—	43	8	no	—
864	#125	—	43	16	no	—
865	#124	—	43	8	no	—
866	#124	—	43	8	no	—
867	#124	—	43	8	no	—
868	#124	—	43	8	no	—
869	#124	—	43	8	no	—
870	#124	—	43	16	no	—
871	#124	—	43	16	no	—
872	#124	—	43	16	no	—
873	#124	—	43	16	no	—
874	#124	—	43	16	no	—
875	#124	—	43	8	no	—
876	#124	C₂²×D₄₃	1	8	yes	—
877	#124	C₂²×D₄₃	1	16	yes	complemented
878	#123	—	43	16	no	—
879	#123	—	43	16	no	—
880	#123	—	43	16	no	—
881	#123	—	43	16	no	—
882	#123	—	43	16	no	—
883	#123	—	43	16	no	—
884	#123	—	43	8	no	—
885	#123	—	43	8	no	—
886	#123	—	43	16	no	—
887	#123	—	43	16	no	—
888	C₂²⋊Q₈	—	43	8	no	—
889	C₂²⋊Q₈	—	43	16	no	—
890	C₂²⋊Q₈	—	43	16	no	—
891	C₂²⋊Q₈	—	43	16	no	—
892	C₂²⋊Q₈	—	43	16	no	—
893	C₂²⋊Q₈	—	43	16	no	—
894	C₂²⋊Q₈	—	43	8	no	—
895	C₂²⋊Q₈	—	43	16	no	—
896	C₂²⋊Q₈	—	43	8	no	—
897	C₂²⋊Q₈	—	43	16	no	—
898	C₂²⋊Q₈	—	43	8	no	—
899	C₂²⋊Q₈	—	43	16	no	—
900	C₂²⋊Q₈	—	43	16	no	—
901	C₂²⋊Q₈	—	43	16	no	—
902	C₂²⋊Q₈	—	43	16	no	—
903	C₂²⋊Q₈	—	43	16	no	—
904	C₂²⋊Q₈	—	43	16	no	—
905	C₂²⋊Q₈	—	43	16	no	—
906	C₂²⋊Q₈	C₂²×D₄₃	1	8	yes	complemented
907	C₂²⋊Q₈	C₂²×D₄₃	1	16	yes	complemented
908	#121	—	43	8	no	—
909	#121	—	43	16	no	—
910	#121	—	43	16	no	—
911	#121	—	43	16	no	—
912	#121	—	43	8	no	—
913	#121	C₂²×D₄₃	1	8	yes	—
914	#121	C₂²×D₄₃	1	16	yes	complemented
915	#120	—	43	16	no	—
916	#120	—	43	16	no	—
917	C₄×Q₈	—	43	8	no	—
918	C₄×Q₈	—	43	8	no	—
919	C₄×Q₈	—	43	8	no	—
920	C₄×Q₈	—	43	16	no	—
921	C₄×Q₈	—	43	8	no	—
922	C₄×Q₈	C₂²×D₄₃	1	8	yes	complemented
923	C₄×D₄	—	43	8	no	—
924	C₄×D₄	—	43	8	no	—
925	C₄×D₄	—	43	8	no	—
926	C₄×D₄	—	43	16	no	—
927	C₄×D₄	—	43	8	no	—
928	C₄×D₄	—	43	16	no	—
929	C₄×D₄	—	43	16	no	—
930	C₄×D₄	C₂²×D₄₃	1	8	yes	complemented
931	C₄×D₄	C₂²×D₄₃	1	16	yes	complemented
932	#117	—	43	8	no	—
933	#117	—	43	8	no	—
934	#117	—	43	16	no	—
935	#117	—	43	16	no	—
936	#117	—	43	16	no	—
937	C₂×C₄⋊C₄	—	43	1	no	—
938	C₂×C₄⋊C₄	—	43	1	no	—
939	C₂×C₄⋊C₄	—	43	1	no	—
940	C₂×C₄⋊C₄	—	43	1	no	—
941	C₂×C₄⋊C₄	—	43	2	no	—
942	C₂×C₄⋊C₄	—	43	2	no	—
943	C₂×C₄⋊C₄	—	43	2	no	—
944	C₂×C₄⋊C₄	—	43	1	no	—
945	C₂×C₄⋊C₄	—	43	1	no	—
946	C₂×C₄⋊C₄	—	43	2	no	—
947	C₂×C₄⋊C₄	—	43	1	no	—
948	C₂×C₄⋊C₄	—	43	2	no	—
949	C₂×C₄⋊C₄	—	43	2	no	—
950	C₂×C₄⋊C₄	—	43	2	no	—
951	C₂×C₄⋊C₄	—	43	1	no	—
952	C₂×C₄⋊C₄	—	43	1	no	—
953	C₂×C₄⋊C₄	—	43	2	no	—
954	C₂×C₄⋊C₄	—	43	2	no	—
955	C₂×C₄⋊C₄	—	43	2	no	—
956	C₂×C₄⋊C₄	—	43	1	no	—
957	C₂×C₄⋊C₄	—	43	2	no	—
958	C₂×C₄⋊C₄	—	43	2	no	—
959	C₂×C₄⋊C₄	—	43	2	no	—
960	C₂×C₄⋊C₄	C₂²×D₄₃	1	1	yes	characteristic
961	C₂×C₄⋊C₄	C₂²×D₄₃	1	1	yes	characteristic
962	C₂×C₄⋊C₄	C₂²×D₄₃	1	2	yes	—
963	C₂×C₄⋊C₄	C₂²×D₄₃	1	2	yes	—
964	C₂×C₂²⋊C₄	—	43	2	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	1	no	—
969	C₂×C₂²⋊C₄	—	43	1	no	—
970	C₂×C₂²⋊C₄	—	43	1	no	—
971	C₂×C₂²⋊C₄	—	43	1	no	—
972	C₂×C₂²⋊C₄	—	43	2	no	—
973	C₂×C₂²⋊C₄	—	43	1	no	—
974	C₂×C₂²⋊C₄	—	43	1	no	—
975	C₂×C₂²⋊C₄	—	43	2	no	—
976	C₂×C₂²⋊C₄	—	43	1	no	—
977	C₂×C₂²⋊C₄	—	43	1	no	—
978	C₂×C₂²⋊C₄	—	43	2	no	—
979	C₂×C₂²⋊C₄	—	43	2	no	—
980	C₂×C₂²⋊C₄	—	43	2	no	—
981	C₂×C₂²⋊C₄	—	43	2	no	—
982	C₂×C₂²⋊C₄	—	43	2	no	—
983	C₂×C₂²⋊C₄	—	43	2	no	—
984	C₂×C₂²⋊C₄	—	43	2	no	—
985	C₂×C₂²⋊C₄	—	43	2	no	—
986	C₂×C₂²⋊C₄	—	43	16	no	—
987	C₂×C₂²⋊C₄	—	43	2	no	—
988	C₂×C₂²⋊C₄	—	43	2	no	—
989	C₂×C₂²⋊C₄	—	43	16	no	—
990	C₂×C₂²⋊C₄	—	43	16	no	—
991	C₂×C₂²⋊C₄	—	43	16	no	—
992	C₂×C₂²⋊C₄	C₂²×D₄₃	1	2	yes	—
993	C₂×C₂²⋊C₄	C₂²×D₄₃	1	2	yes	—
994	C₂×C₂²⋊C₄	C₂²×D₄₃	1	2	yes	—
995	C₂×C₂²⋊C₄	C₂²×D₄₃	1	1	yes	characteristic
996	C₂×C₂²⋊C₄	C₂²×D₄₃	1	2	yes	—
997	C₂×C₂²⋊C₄	C₂²×D₄₃	1	1	yes	characteristic
998	C₂×C₄²	—	43	2	no	—
999	C₂×C₄²	—	43	1	no	—
1000	C₂×C₄²	—	43	1	no	—
1001	C₂×C₄²	—	43	1	no	—
1002	C₂×C₄²	—	43	2	no	—
1003	C₂×C₄²	—	43	2	no	—
1004	C₂×C₄²	—	43	1	no	—
1005	C₂×C₄²	—	43	1	no	—
1006	C₂×C₄²	—	43	8	no	—
1007	C₂×C₄²	C₂²×D₄₃	1	2	yes	—
1008	C₂×C₄²	C₂²×D₄₃	1	1	yes	characteristic
1009	C₂⁴	—	43	1	no	—
1010	C₂⁴	—	43	2	no	—
1011	C₂⁴	—	43	8	no	—
1012	C₂⁴	—	86	8	no	—
1013	C₂⁴	—	172	4	no	—
1014	C₂⁴	—	172	4	no	—
1015	C₂⁴	C₂³×D₄₃	1	2	yes	—
1016	C₂⁴	C₂³×D₄₃	1	1	yes	characteristic
1017	C₂⁴	C₂³×D₄₃	1	1	yes	characteristic
1018	#41	—	4	16	no	—
1019	#41	—	172	16	no	—
1020	C₂×Q₈	—	2	4	no	—
1021	C₂×Q₈	—	2	4	no	—
1022	C₂×Q₈	—	4	4	no	—
1023	C₂×Q₈	—	4	16	no	—
1024	C₂×Q₈	—	43	4	no	—
1025	C₂×Q₈	—	43	4	no	—
1026	C₂×Q₈	—	43	4	no	—
1027	C₂×Q₈	—	43	8	no	—
1028	C₂×Q₈	—	43	8	no	—
1029	C₂×Q₈	—	43	8	no	—
1030	C₂×Q₈	—	86	4	no	—
1031	C₂×Q₈	—	86	4	no	—
1032	C₂×Q₈	—	172	4	no	—
1033	C₂×Q₈	—	172	4	no	—
1034	C₂×Q₈	—	172	2	no	—
1035	C₂×Q₈	—	172	4	no	—
1036	C₂×Q₈	—	172	16	no	—
1037	C₂×Q₈	—	172	16	no	—
1038	C₂×Q₈	C₂³×D₄₃	1	4	yes	—
1039	C₂×Q₈	C₂³×D₄₃	1	4	yes	—
1040	C₂×Q₈	C₂³×D₄₃	1	8	yes	—
1041	C₂×D₄	—	2	4	no	—
1042	C₂×D₄	—	4	4	no	—
1043	C₂×D₄	—	4	4	no	—
1044	C₂×D₄	—	4	2	no	—
1045	C₂×D₄	—	43	4	no	—
1046	C₂×D₄	—	43	4	no	—
1047	C₂×D₄	—	43	8	no	—
1048	C₂×D₄	—	43	8	no	—
1049	C₂×D₄	—	43	8	no	—
1050	C₂×D₄	—	43	4	no	—
1051	C₂×D₄	—	86	4	no	—
1052	C₂×D₄	—	86	4	no	—
1053	C₂×D₄	—	86	4	no	—
1054	C₂×D₄	—	172	16	no	—
1055	C₂×D₄	—	172	4	no	—
1056	C₂×D₄	—	172	4	no	—
1057	C₂×D₄	—	172	4	no	—
1058	C₂×D₄	C₂³×D₄₃	1	4	yes	—
1059	C₂×D₄	C₂³×D₄₃	1	8	yes	—
1060	C₂×D₄	C₂³×D₄₃	1	4	yes	—
1061	C₂×D₄	C₂³×D₄₃	1	8	yes	—
1062	C₂²×C₄	—	2	4	no	—
1063	C₂²×C₄	—	2	4	no	—
1064	C₂²×C₄	—	4	4	no	—
1065	C₂²×C₄	—	4	4	no	—
1066	C₂²×C₄	—	43	1	no	—
1067	C₂²×C₄	—	43	1	no	—
1068	C₂²×C₄	—	43	1	no	—
1069	C₂²×C₄	—	43	1	no	—
1070	C₂²×C₄	—	43	2	no	—
1071	C₂²×C₄	—	43	1	no	—
1072	C₂²×C₄	—	43	1	no	—
1073	C₂²×C₄	—	43	1	no	—
1074	C₂²×C₄	—	43	2	no	—
1075	C₂²×C₄	—	43	2	no	—
1076	C₂²×C₄	—	43	8	no	—
1077	C₂²×C₄	—	43	8	no	—
1078	C₂²×C₄	—	43	4	no	—
1079	C₂²×C₄	—	43	4	no	—
1080	C₂²×C₄	—	43	4	no	—
1081	C₂²×C₄	—	43	8	no	—
1082	C₂²×C₄	—	43	8	no	—
1083	C₂²×C₄	—	43	8	no	—
1084	C₂²×C₄	—	86	4	no	—
1085	C₂²×C₄	—	86	4	no	—
1086	C₂²×C₄	—	172	4	no	—
1087	C₂²×C₄	—	172	4	no	—
1088	C₂²×C₄	—	172	4	no	—
1089	C₂²×C₄	—	172	2	no	—
1090	C₂²×C₄	—	172	4	no	—
1091	C₂²×C₄	—	172	4	no	—
1092	C₂²×C₄	C₂³×D₄₃	1	4	yes	—
1093	C₂²×C₄	C₂³×D₄₃	1	4	yes	—
1094	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
1095	C₂²×C₄	C₂³×D₄₃	1	2	yes	—
1096	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
1097	C₂²×C₄	C₂³×D₄₃	1	2	yes	—
1098	C₂²×C₄	C₂³×D₄₃	1	2	yes	—
1099	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
1100	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
1101	C₂²×C₄	C₂³×D₄₃	1	8	yes	—
1102	C₂²×C₄	C₂³×D₄₃	1	8	yes	—
1103	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
1104	C₄⋊C₄	—	43	4	no	—
1105	C₄⋊C₄	—	43	4	no	—
1106	C₄⋊C₄	—	43	4	no	—
1107	C₄⋊C₄	—	43	4	no	—
1108	C₄⋊C₄	—	43	8	no	—
1109	C₄⋊C₄	—	43	8	no	—
1110	C₄⋊C₄	—	43	8	no	—
1111	C₄⋊C₄	—	43	4	no	—
1112	C₄⋊C₄	—	43	4	no	—
1113	C₄⋊C₄	—	43	8	no	—
1114	C₄⋊C₄	—	43	4	no	—
1115	C₄⋊C₄	—	43	8	no	—
1116	C₄⋊C₄	—	43	8	no	—
1117	C₄⋊C₄	—	43	8	no	—
1118	C₄⋊C₄	—	43	4	no	—
1119	C₄⋊C₄	—	43	4	no	—
1120	C₄⋊C₄	—	43	8	no	—
1121	C₄⋊C₄	—	43	8	no	—
1122	C₄⋊C₄	—	43	8	no	—
1123	C₄⋊C₄	—	43	4	no	—
1124	C₄⋊C₄	—	43	8	no	—
1125	C₄⋊C₄	—	43	8	no	—
1126	C₄⋊C₄	—	43	8	no	—
1127	C₄⋊C₄	C₂³×D₄₃	1	4	yes	—
1128	C₄⋊C₄	C₂³×D₄₃	1	4	yes	—
1129	C₄⋊C₄	C₂³×D₄₃	1	8	yes	—
1130	C₄⋊C₄	C₂³×D₄₃	1	8	yes	—
1131	C₂²⋊C₄	—	43	8	no	—
1132	C₂²⋊C₄	—	43	8	no	—
1133	C₂²⋊C₄	—	43	8	no	—
1134	C₂²⋊C₄	—	43	8	no	—
1135	C₂²⋊C₄	—	43	4	no	—
1136	C₂²⋊C₄	—	43	4	no	—
1137	C₂²⋊C₄	—	43	4	no	—
1138	C₂²⋊C₄	—	43	4	no	—
1139	C₂²⋊C₄	—	43	8	no	—
1140	C₂²⋊C₄	—	43	4	no	—
1141	C₂²⋊C₄	—	43	4	no	—
1142	C₂²⋊C₄	—	43	8	no	—
1143	C₂²⋊C₄	—	43	4	no	—
1144	C₂²⋊C₄	—	43	4	no	—
1145	C₂²⋊C₄	—	43	8	no	—
1146	C₂²⋊C₄	—	43	8	no	—
1147	C₂²⋊C₄	—	43	8	no	—
1148	C₂²⋊C₄	—	43	8	no	—
1149	C₂²⋊C₄	—	43	8	no	—
1150	C₂²⋊C₄	—	43	8	no	—
1151	C₂²⋊C₄	—	43	8	no	—
1152	C₂²⋊C₄	—	43	8	no	—
1153	C₂²⋊C₄	—	43	8	no	—
1154	C₂²⋊C₄	—	43	8	no	—
1155	C₂²⋊C₄	C₂³×D₄₃	1	8	yes	—
1156	C₂²⋊C₄	C₂³×D₄₃	1	8	yes	—
1157	C₂²⋊C₄	C₂³×D₄₃	1	8	yes	—
1158	C₂²⋊C₄	C₂³×D₄₃	1	4	yes	—
1159	C₂²⋊C₄	C₂³×D₄₃	1	8	yes	—
1160	C₂²⋊C₄	C₂³×D₄₃	1	4	yes	—
1161	C₄²	—	43	4	no	—
1162	C₄²	—	43	4	no	—
1163	C₄²	—	43	4	no	—
1164	C₄²	—	43	8	no	—
1165	C₄²	—	43	4	no	—
1166	C₄²	—	43	4	no	—
1167	C₄²	—	43	8	no	—
1168	C₄²	—	43	8	no	—
1169	C₄²	C₂³×D₄₃	1	4	yes	—
1170	C₄²	C₂³×D₄₃	1	8	yes	—
1171	C₂³	—	2	2	no	—
1172	C₂³	—	2	2	no	—
1173	C₂³	—	2	4	no	—
1174	C₂³	—	2	2	no	—
1175	C₂³	—	2	2	no	—
1176	C₂³	—	2	4	no	—
1177	C₂³	—	2	4	no	—
1178	C₂³	—	2	2	no	—
1179	C₂³	—	2	2	no	—
1180	C₂³	—	43	4	no	—
1181	C₂³	—	43	2	no	—
1182	C₂³	—	43	4	no	—
1183	C₂³	—	86	16	no	—
1184	C₂³	—	86	2	no	—
1185	C₂³	—	86	2	no	—
1186	C₂³	—	86	4	no	—
1187	C₂³	—	86	4	no	—
1188	C₂³	—	86	4	no	—
1189	C₂³	—	344	16	no	—
1190	C₂³	—	172	8	no	—
1191	C₂³	—	172	8	no	—
1192	C₂³	C₂⁴×D₄₃	1	4	yes	—
1193	C₂³	C₂⁴×D₄₃	1	2	yes	—
1194	C₂³	C₂⁴×D₄₃	1	2	yes	—
1195	C₂³	C₂⁴×D₄₃	1	1	yes	characteristic
1196	Q₈	—	2	8	no	—
1197	Q₈	—	2	8	no	—
1198	Q₈	—	4	8	no	—
1199	Q₈	—	86	8	no	—
1200	Q₈	—	86	8	no	—
1201	Q₈	—	172	8	no	—
1202	Q₈	—	172	8	no	—
1203	Q₈	—	172	4	no	—
1204	Q₈	—	172	8	no	—
1205	D₄	—	2	8	no	—
1206	D₄	—	4	8	no	—
1207	D₄	—	4	8	no	—
1208	D₄	—	4	4	no	—
1209	D₄	—	86	8	no	—
1210	D₄	—	86	8	no	—
1211	D₄	—	86	8	no	—
1212	D₄	—	172	8	no	—
1213	D₄	—	172	8	no	—
1214	D₄	—	172	8	no	—
1215	C₂×C₄	—	2	2	no	—
1216	C₂×C₄	—	2	2	no	—
1217	C₂×C₄	—	2	4	no	—
1218	C₂×C₄	—	2	4	no	—
1219	C₂×C₄	—	2	2	no	—
1220	C₂×C₄	—	2	4	no	—
1221	C₂×C₄	—	2	2	no	—
1222	C₂×C₄	—	2	8	no	—
1223	C₂×C₄	—	2	8	no	—
1224	C₂×C₄	—	4	8	no	—
1225	C₂×C₄	—	4	8	no	—
1226	C₂×C₄	—	43	2	no	—
1227	C₂×C₄	—	43	2	no	—
1228	C₂×C₄	—	43	2	no	—
1229	C₂×C₄	—	43	2	no	—
1230	C₂×C₄	—	43	4	no	—
1231	C₂×C₄	—	43	2	no	—
1232	C₂×C₄	—	43	2	no	—
1233	C₂×C₄	—	43	2	no	—
1234	C₂×C₄	—	43	4	no	—
1235	C₂×C₄	—	43	4	no	—
1236	C₂×C₄	—	86	8	no	—
1237	C₂×C₄	—	86	2	no	—
1238	C₂×C₄	—	86	4	no	—
1239	C₂×C₄	—	86	4	no	—
1240	C₂×C₄	—	86	2	no	—
1241	C₂×C₄	—	86	2	no	—
1242	C₂×C₄	—	86	2	no	—
1243	C₂×C₄	—	86	2	no	—
1244	C₂×C₄	—	86	2	no	—
1245	C₂×C₄	—	86	4	no	—
1246	C₂×C₄	—	86	2	no	—
1247	C₂×C₄	—	86	8	no	—
1248	C₂×C₄	—	172	8	no	—
1249	C₂×C₄	—	172	8	no	—
1250	C₂×C₄	—	172	8	no	—
1251	C₂×C₄	—	172	4	no	—
1252	C₂×C₄	—	172	8	no	—
1253	C₂×C₄	—	172	8	no	—
1254	C₂×C₄	#13063370	1	4	yes	—
1255	C₂×C₄	C₂⁴×D₄₃	1	2	yes	—
1256	C₂×C₄	C₂⁴×D₄₃	1	2	yes	—
1257	C₂×C₄	C₂⁴×D₄₃	1	4	yes	—
1258	C₂×C₄	C₂⁴×D₄₃	1	4	yes	—
1259	C₂×C₄	C₂⁴×D₄₃	1	4	yes	—
1260	C₂×C₄	C₂⁴×D₄₃	1	2	yes	—
1261	C₂×C₄	C₂⁴×D₄₃	1	2	yes	—
1262	C₂×C₄	C₂⁴×D₄₃	1	2	yes	—
1263	C₂²	—	2	2	no	—
1264	C₂²	—	2	2	no	—
1265	C₂²	—	2	4	no	—
1266	C₂²	—	2	2	no	—
1267	C₂²	—	2	2	no	—
1268	C₂²	—	2	4	no	—
1269	C₂²	—	2	4	no	—
1270	C₂²	—	2	2	no	—
1271	C₂²	—	2	2	no	—
1272	C₂²	—	4	8	no	—
1273	C₂²	—	4	4	no	—
1274	C₂²	—	4	4	no	—
1275	C₂²	—	43	4	no	—
1276	C₂²	—	86	2	no	—
1277	C₂²	—	86	2	no	—
1278	C₂²	—	86	8	no	—
1279	C₂²	—	86	4	no	—
1280	C₂²	—	86	4	no	—
1281	C₂²	—	86	4	no	—
1282	C₂²	—	344	16	no	—
1283	C₂²	—	172	8	no	—
1284	C₂²	C₂×#13063370	1	2	yes	—
1285	C₂²	2₋¹⁺⁴×D₄₃	1	2	yes	—
1286	C₂²	#14583735	1	2	yes	—
1287	C₂²	C₂⁵×D₄₃	1	1	yes	characteristic
1288	C₄	—	2	2	no	—
1289	C₄	—	2	2	no	—
1290	C₄	—	2	4	no	—
1291	C₄	—	2	4	no	—
1292	C₄	—	2	2	no	—
1293	C₄	—	2	4	no	—
1294	C₄	—	2	2	no	—
1295	C₄	—	86	2	no	—
1296	C₄	—	86	4	no	—
1297	C₄	—	86	4	no	—
1298	C₄	—	86	2	no	—
1299	C₄	—	86	2	no	—
1300	C₄	—	86	2	no	—
1301	C₄	—	86	2	no	—
1302	C₄	—	86	2	no	—
1303	C₄	—	86	4	no	—
1304	C₄	—	86	2	no	—
1305	C₄	C₂×#13063370	1	4	yes	—
1306	C₂	—	4	4	no	—
1307	C₂	—	4	2	no	—
1308	C₂	—	4	2	no	—
1309	C₂	—	86	4	no	—
1310	C₂	—	172	4	no	—
1311	C₂	#19149158	1	4	yes	direct product factor
1312	C₂	C₂²×#13063370	1	1	yes	characteristic
1313	C₂	C₂×2₋¹⁺⁴×D₄₃	1	1	yes	characteristic
1314	C₂	C₂×#14583735	1	1	yes	characteristic

	subgroup	G/H
center	C₂³	C₂⁴×D₄₃
commutator, cosocle	C₂²×C₄₃	C₂⁶
Frattini	C₂²	C₂⁵×D₄₃
Fitting	C₂×C₄₃×#548	C₂
socle	C₂³×C₄₃	C₂⁵
hypercenter	C₂×#548	D₄₃
hypocenter	C₄₃	C₂×#3561
LCS	G ▷ C₂²×C₄₃ ▷ C₄₃
UCS	C₁ ◁ C₂³ ◁ C₂×#548

Complements

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

N	H ≅ G/N	type
1. #19149158	C₂	direct (N × H)
2. C₂×#14583650	C₂	semidirect
3. C₂×#14583644	C₂	semidirect
4. C₂×#14583621	C₂	semidirect
5. C₂×#14583618	C₂	semidirect
6. C₂×#14583579	C₂	semidirect
7. C₂×#14583578	C₂	semidirect
8. C₂×Q₈×C₂²⋊D₄₃	C₂	semidirect
9. C₂×#14583562	C₂	semidirect
10. C₂×#14583558	C₂	semidirect
11. C₂×#14583546	C₂	semidirect
12. C₂×#14583537	C₂	semidirect
13. C₂×#14583524	C₂	semidirect
14. C₂×#14583522	C₂	semidirect
15. C₂×#14583516	C₂	semidirect
16. C₂×#14583514	C₂	semidirect
17. C₂×#14583513	C₂	semidirect
18. C₂×#14583481	C₂	semidirect
19. C₂×#14583473	C₂	semidirect
20. C₂×#14583470	C₂	semidirect
21. C₂×#14583453	C₂	semidirect
22. C₂×#14583431	C₂	semidirect
23. C₂×#124×D₄₃	C₂	semidirect
24. C₂×C₄₃×#548	C₂	semidirect
26. C₂³×Dic₈₆	C₂²	semidirect
29. #14583650	C₂²	semidirect
30. #14583644	C₂²	semidirect
31. #14583621	C₂²	semidirect
32. #14583618	C₂²	semidirect
33. #14583579	C₂²	semidirect
34. #14583578	C₂²	semidirect
35. Q₈×C₂²⋊D₄₃	C₂²	semidirect
36. #14583562	C₂²	semidirect
37. #14583558	C₂²	semidirect
38. #14583546	C₂²	semidirect
39. #14583537	C₂²	semidirect
40. #14583524	C₂²	semidirect
41. #14583522	C₂²	semidirect
42. #14583516	C₂²	semidirect
43. #14583514	C₂²	semidirect
44. #14583513	C₂²	semidirect
45. #14583481	C₂²	semidirect
46. #14583473	C₂²	semidirect
47. #14583470	C₂²	semidirect
48. #14583453	C₂²	semidirect
49. C₂×#13063324	C₂²	semidirect
50. C₂×#13063324	C₂²	semidirect
51. C₂×#13063323	C₂²	semidirect
52. C₂×#13063323	C₂²	semidirect
53. C₂×#13063323	C₂²	semidirect
54. C₂×#13063323	C₂²	semidirect
55. #14583431	C₂²	semidirect
56. C₂×#13063320	C₂²	semidirect
57. C₂×#13063320	C₂²	semidirect
58. C₂×#13063319	C₂²	semidirect
59. C₂×#13063318	C₂²	semidirect
60. C₂×#13063318	C₂²	semidirect
61. C₂×#13063318	C₂²	semidirect
62. C₂×#13063318	C₂²	semidirect
63. C₂×#13063318	C₂²	semidirect
64. C₂×#13063316	C₂²	semidirect
65. C₂×#13063315	C₂²	semidirect
71. C₂×#13063312	C₂²	semidirect
72. C₂×#13063312	C₂²	semidirect
75. C₂×#13063311	C₂²	semidirect
76. C₂×#13063311	C₂²	semidirect
77. #124×D₄₃	C₂²	semidirect
79. C₂×#13063308	C₂²	semidirect
80. C₂×#13063308	C₂²	semidirect
84. C₂×#13063307	C₂²	semidirect
85. C₂×#13063306	C₂²	semidirect
86. C₂×#13063306	C₂²	semidirect
87. C₂×#13063306	C₂²	semidirect
90. C₂×#13063305	C₂²	semidirect
91. C₂×#13063304	C₂²	semidirect
92. C₂×#13063304	C₂²	semidirect
93. C₂×#13063304	C₂²	semidirect
94. C₂×#13063304	C₂²	semidirect
97. C₂×#13063303	C₂²	semidirect
98. C₂×#13063303	C₂²	semidirect
99. C₂×#13063302	C₂²	semidirect
100. C₂×#13063302	C₂²	semidirect
101. C₂×#13063302	C₂²	semidirect
104. C₂×#13063301	C₂²	semidirect
105. C₂×#13063301	C₂²	semidirect
108. C₂×#13063297	C₂²	semidirect
113. C₂×Q₈×Dic₄₃	C₂²	semidirect
114. C₂×C₄×Dic₈₆	C₂²	semidirect
115. C₂×C₄×Dic₈₆	C₂²	semidirect
116. C₂×C₄×Dic₈₆	C₂²	semidirect
117. C₂×#13063290	C₂²	semidirect
124. C₂×(C₂²⋊D₄₃)⋊C₄	C₂²	semidirect
125. C₂×#13063284	C₂²	semidirect
126. C₂×#13063284	C₂²	semidirect
128. C₂×#13063282	C₂²	semidirect
129. C₂×#13063281	C₂²	semidirect
136. C₂³×Q₈×C₄₃	C₂²	semidirect
137. C₄₃×#548	C₂²	semidirect
139. C₂×#124×C₄₃	C₂²	semidirect
140. C₂×C₂²⋊Q₈×C₄₃	C₂²	semidirect
141. C₂×C₂²⋊Q₈×C₄₃	C₂²	semidirect
143. C₂×#121×C₄₃	C₂²	semidirect
144. C₂×C₄×Q₈×C₄₃	C₂²	semidirect
145. C₂×C₄×D₄×C₄₃	C₂²	semidirect
146. C₂×C₄×D₄×C₄₃	C₂²	semidirect
157. C₂²×Dic₈₆	C₂³	semidirect
176. #13063324	C₂³	semidirect
177. #13063324	C₂³	semidirect
178. #13063323	C₂³	semidirect
179. #13063323	C₂³	semidirect
180. #13063323	C₂³	semidirect
181. #13063323	C₂³	semidirect
182. #13063320	C₂³	semidirect
183. #13063320	C₂³	semidirect
184. #13063319	C₂³	semidirect
185. #13063318	C₂³	semidirect
186. #13063318	C₂³	semidirect
187. #13063318	C₂³	semidirect
188. #13063318	C₂³	semidirect
189. #13063318	C₂³	semidirect
190. #13063316	C₂³	semidirect
191. #13063315	C₂³	semidirect
197. #13063312	C₂³	semidirect
198. #13063312	C₂³	semidirect
201. #13063311	C₂³	semidirect
202. #13063311	C₂³	semidirect
204. #13063308	C₂³	semidirect
205. #13063308	C₂³	semidirect
209. #13063307	C₂³	semidirect
210. #13063306	C₂³	semidirect
211. #13063306	C₂³	semidirect
212. #13063306	C₂³	semidirect
215. #13063305	C₂³	semidirect
216. #13063304	C₂³	semidirect
217. #13063304	C₂³	semidirect
218. #13063304	C₂³	semidirect
219. #13063304	C₂³	semidirect
222. #13063303	C₂³	semidirect
223. #13063303	C₂³	semidirect
224. #13063302	C₂³	semidirect
225. #13063302	C₂³	semidirect
226. #13063302	C₂³	semidirect
229. #13063301	C₂³	semidirect
230. #13063301	C₂³	semidirect
233. #13063297	C₂³	semidirect
238. Q₈×Dic₄₃	C₂³	semidirect
239. C₄×Dic₈₆	C₂³	semidirect
240. C₄×Dic₈₆	C₂³	semidirect
241. C₄×Dic₈₆	C₂³	semidirect
242. #13063290	C₂³	semidirect
249. (C₂²⋊D₄₃)⋊C₄	C₂³	semidirect
250. #13063284	C₂³	semidirect
251. #13063284	C₂³	semidirect
253. #13063282	C₂³	semidirect
254. #13063281	C₂³	semidirect
321. C₂²×Q₈×C₄₃	C₂³	semidirect
331. #124×C₄₃	C₂³	semidirect
332. C₂²⋊Q₈×C₄₃	C₂³	semidirect
333. C₂²⋊Q₈×C₄₃	C₂³	semidirect
335. #121×C₄₃	C₂³	semidirect
336. C₄×Q₈×C₄₃	C₂³	semidirect
337. C₄×D₄×C₄₃	C₂³	semidirect
338. C₄×D₄×C₄₃	C₂³	semidirect
659. C₂×#548	D₄₃	semidirect
676. C₂×C₄₃	#3561	semidirect
686. C₂³×Q₈	C₂×D₄₃	semidirect
697. #548	C₂×D₄₃	semidirect
739. C₂×#124	C₂×D₄₃	semidirect
768. C₂×C₂²⋊Q₈	C₂×D₄₃	semidirect
769. C₂×C₂²⋊Q₈	C₂×D₄₃	semidirect
776. C₂×#121	C₂×D₄₃	semidirect
784. C₂×C₄×Q₈	C₂×D₄₃	semidirect
792. C₂×C₄×D₄	C₂×D₄₃	semidirect
793. C₂×C₄×D₄	C₂×D₄₃	semidirect
804. C₄₃	C₂×#3561	semidirect
824. C₂²×Q₈	C₂²×D₄₃	semidirect
877. #124	C₂²×D₄₃	semidirect
906. C₂²⋊Q₈	C₂²×D₄₃	semidirect
907. C₂²⋊Q₈	C₂²×D₄₃	semidirect
914. #121	C₂²×D₄₃	semidirect
922. C₄×Q₈	C₂²×D₄₃	semidirect
930. C₄×D₄	C₂²×D₄₃	semidirect
931. C₄×D₄	C₂²×D₄₃	semidirect
1311. C₂	#19149158	direct (N × H)

Maximal subgroups

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

subgroup	index
#19149158	2
C₂×#14583650	2
C₂×#14583644	2
C₂×#14583621	2
C₂×#14583618	2
C₂×#14583579	2
C₂×#14583578	2
C₂×Q₈×C₂²⋊D₄₃	2
C₂×#14583562	2
C₂×#14583558	2
C₂×#14583546	2
C₂×#14583537	2
C₂×#14583524	2
C₂×#14583522	2
C₂×#14583516	2
C₂×#14583514	2
C₂×#14583513	2
C₂×#14583481	2
C₂×#14583473	2
C₂×#14583470	2
C₂×#14583453	2
C₂×#14583431	2
C₂×#124×D₄₃	2
C₂×C₄₃×#548	2
C₂×#3561	43

Subgroups — C2×#19149158 #26003942

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₂×#19149158 #26003942