Subgroups — C₂×#19149157 #26003938

Order 11008.

7258 conjugacy classes of subgroups.

The subgroup lattice has 1140 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#19149157	C₂	1	32	yes	maximal, direct product factor
2	C₂×#14583653	C₂	1	1	yes	maximal, characteristic, complemented
3	C₂×#14583649	C₂	1	1	yes	maximal, characteristic, complemented
4	C₂×#14583643	C₂	1	1	yes	maximal, characteristic, complemented
5	C₂×#14583620	C₂	1	2	yes	maximal, complemented
6	C₂×#14583577	C₂	1	2	yes	maximal, complemented
7	C₂×#14583572	C₂	1	2	yes	maximal, complemented
8	C₂×#14583562	C₂	1	2	yes	maximal, complemented
9	C₂×#14583555	C₂	1	2	yes	maximal, complemented
10	C₂×#14583538	C₂	1	2	yes	maximal, complemented
11	C₂×#14583524	C₂	1	2	yes	maximal, complemented
12	C₂×#14583519	C₂	1	2	yes	maximal, complemented
13	C₂×#14583517	C₂	1	2	yes	maximal, complemented
14	C₂×#14583516	C₂	1	2	yes	maximal, complemented
15	C₂×#14583481	C₂	1	2	yes	maximal, complemented
16	C₂×#14583471	C₂	1	2	yes	maximal, complemented
17	C₂×#14583455	C₂	1	1	yes	maximal, characteristic, complemented
18	C₂×#14583428	C₂	1	1	yes	maximal, characteristic, complemented
19	C₂×#124×D₄₃	C₂	1	1	yes	maximal, characteristic, complemented
20	C₂×C₄₃×#562	C₂	1	1	yes	maximal, characteristic, complemented
21	C₂²×#10621900	C₂²	1	2	yes	—
22	C₂³×Dic₈₆	C₂²	1	2	yes	complemented
23	C₂²×Q₈×D₄₃	C₂²	1	1	yes	characteristic
24	C₂²×D₄×D₄₃	C₂²	1	1	yes	characteristic
25	#14583653	C₂²	1	16	yes	complemented
26	#14583649	C₂²	1	16	yes	complemented
27	#14583643	C₂²	1	16	yes	complemented
28	#14583620	C₂²	1	32	yes	complemented
29	#14583577	C₂²	1	32	yes	complemented
30	#14583572	C₂²	1	32	yes	complemented
31	#14583562	C₂²	1	32	yes	complemented
32	#14583555	C₂²	1	32	yes	complemented
33	#14583538	C₂²	1	32	yes	complemented
34	#14583524	C₂²	1	32	yes	complemented
35	#14583519	C₂²	1	32	yes	complemented
36	#14583517	C₂²	1	32	yes	complemented
37	#14583516	C₂²	1	32	yes	complemented
38	#14583481	C₂²	1	32	yes	complemented
39	#14583471	C₂²	1	32	yes	complemented
40	#14583455	C₂²	1	16	yes	complemented
41	C₂×#13063324	C₂²	1	2	yes	complemented
42	C₂×#13063324	C₂²	1	2	yes	complemented
43	C₂×#13063324	C₂²	1	1	yes	characteristic, complemented
44	C₂×#13063324	C₂²	1	1	yes	characteristic, complemented
45	C₂×#13063323	C₂²	1	2	yes	complemented
46	#14583428	C₂²	1	16	yes	complemented
47	C₂×#13063320	C₂²	1	2	yes	complemented
48	C₂×#13063320	C₂²	1	2	yes	complemented
49	C₂×#13063320	C₂²	1	2	yes	complemented
50	C₂×#13063318	C₂²	1	2	yes	complemented
51	C₂×#13063318	C₂²	1	2	yes	complemented
52	C₂×#13063318	C₂²	1	2	yes	complemented
53	C₂×#13063318	C₂²	1	2	yes	complemented
54	C₂×#13063317	C₂²	1	1	yes	characteristic, complemented
55	C₂×#13063317	C₂²	1	1	yes	characteristic, complemented
56	C₂×#13063314	C₂²	1	1	yes	characteristic
57	C₂×#13063313	C₂²	1	1	yes	characteristic
58	C₂×#13063312	C₂²	1	1	yes	characteristic
59	C₂×#13063312	C₂²	1	2	yes	complemented
60	C₂×#13063312	C₂²	1	2	yes	complemented
61	C₂×#13063311	C₂²	1	2	yes	—
62	C₂×#13063311	C₂²	1	2	yes	—
63	C₂×#13063311	C₂²	1	2	yes	—
64	C₂×#13063311	C₂²	1	2	yes	complemented
65	C₂×#13063311	C₂²	1	2	yes	complemented
66	#124×D₄₃	C₂²	1	16	yes	complemented
67	C₂×#13063310	C₂²	1	2	yes	—
68	C₂×#13063309	C₂²	1	2	yes	complemented
69	C₂×#13063308	C₂²	1	2	yes	complemented
70	C₂×#13063307	C₂²	1	2	yes	—
71	C₂×#13063307	C₂²	1	2	yes	complemented
72	C₂×#13063306	C₂²	1	2	yes	—
73	C₂×#13063306	C₂²	1	2	yes	complemented
74	C₂×#13063305	C₂²	1	2	yes	—
75	C₂×#13063305	C₂²	1	2	yes	complemented
76	C₂×#13063304	C₂²	1	2	yes	complemented
77	C₂×#13063303	C₂²	1	2	yes	—
78	C₂×#13063303	C₂²	1	2	yes	—
79	C₂×#13063303	C₂²	1	2	yes	—
80	C₂×#13063303	C₂²	1	2	yes	complemented
81	C₂×#13063303	C₂²	1	2	yes	complemented
82	C₂×#13063303	C₂²	1	2	yes	complemented
83	C₂×#13063302	C₂²	1	2	yes	complemented
84	C₂×#13063302	C₂²	1	2	yes	complemented
85	C₂×#13063302	C₂²	1	2	yes	complemented
86	C₂×#13063302	C₂²	1	2	yes	complemented
87	C₂×#13063302	C₂²	1	2	yes	complemented
88	C₂×#13063301	C₂²	1	1	yes	characteristic
89	C₂×#13063301	C₂²	1	2	yes	complemented
90	C₂×#13063298	C₂²	1	2	yes	—
91	C₂×#13063297	C₂²	1	2	yes	—
92	C₂×#13063297	C₂²	1	2	yes	complemented
93	C₂×#13063296	C₂²	1	1	yes	characteristic
94	C₂×#13063293	C₂²	1	2	yes	—
95	C₂×#13063293	C₂²	1	2	yes	—
96	C₂×Q₈×Dic₄₃	C₂²	1	1	yes	characteristic, complemented
97	C₂×#13063290	C₂²	1	2	yes	complemented
98	C₂×#13063290	C₂²	1	2	yes	complemented
99	C₂×#13063290	C₂²	1	2	yes	complemented
100	C₂×D₄×Dic₄₃	C₂²	1	1	yes	characteristic, complemented
101	C₂×D₄×Dic₄₃	C₂²	1	2	yes	complemented
102	C₂×C₄×C₂²⋊D₄₃	C₂²	1	2	yes	—
103	C₂×C₄×C₂²⋊D₄₃	C₂²	1	2	yes	—
104	C₂×C₄×C₂²⋊D₄₃	C₂²	1	2	yes	complemented
105	C₂×(C₂²⋊D₄₃)⋊C₄	C₂²	1	2	yes	—
106	C₂×(C₂²⋊D₄₃)⋊C₄	C₂²	1	2	yes	—
107	C₂×#13063284	C₂²	1	2	yes	complemented
108	C₂×#13063283	C₂²	1	1	yes	characteristic
109	C₂×#13063283	C₂²	1	1	yes	characteristic
110	C₂×#13063283	C₂²	1	2	yes	complemented
111	C₂×#13063281	C₂²	1	2	yes	complemented
112	C₂²×(C₂×D₄₃)⋊C₄	C₂²	1	2	yes	—
113	C₂×C₂²⋊C₄×D₄₃	C₂²	1	2	yes	—
114	C₂×C₂²⋊C₄×D₄₃	C₂²	1	2	yes	—
115	C₂×C₂²⋊C₄×D₄₃	C₂²	1	2	yes	—
116	C₂×C₄²×D₄₃	C₂²	1	1	yes	characteristic
117	C₄₃×#562	C₂²	1	16	yes	complemented
118	C₂×#125×C₄₃	C₂²	1	1	yes	characteristic, complemented
119	C₂×#124×C₄₃	C₂²	1	1	yes	characteristic
120	C₂×#124×C₄₃	C₂²	1	1	yes	characteristic, complemented
121	C₂×#123×C₄₃	C₂²	1	2	yes	complemented
122	C₂×#123×C₄₃	C₂²	1	2	yes	complemented
123	C₂×C₂²⋊Q₈×C₄₃	C₂²	1	2	yes	complemented
124	C₂×C₂²⋊Q₈×C₄₃	C₂²	1	2	yes	complemented
125	C₂×#121×C₄₃	C₂²	1	2	yes	—
126	C₂×#121×C₄₃	C₂²	1	2	yes	complemented
127	C₂⁴×D₄₃	C₂³	1	2	yes	—
128	C₂×#10621900	—	4	8	no	—
129	C₂×#10621900	C₂³	1	16	yes	—
130	C₂²×Dic₈₆	—	4	8	no	—
131	C₂²×Dic₈₆	C₂³	1	2	yes	—
132	C₂²×Dic₈₆	C₂³	1	2	yes	—
133	C₂²×Dic₈₆	C₂³	1	2	yes	—
134	C₂²×Dic₈₆	C₂³	1	2	yes	—
135	C₂²×Dic₈₆	C₂³	1	1	yes	characteristic
136	C₂²×Dic₈₆	C₂³	1	2	yes	—
137	C₂²×Dic₈₆	C₂³	1	16	yes	complemented
138	C₂×Q₈×D₄₃	—	4	4	no	—
139	C₂×Q₈×D₄₃	C₂³	1	8	yes	—
140	C₂²×D₁₇₂	C₂³	1	1	yes	characteristic
141	C₂²×C₂²⋊D₄₃	C₂³	1	2	yes	—
142	C₂²×C₂²⋊D₄₃	C₂³	1	2	yes	—
143	C₂²×C₂²⋊D₄₃	C₂³	1	2	yes	—
144	C₂²×C₂²⋊D₄₃	C₂³	1	2	yes	—
145	C₂×D₄×D₄₃	—	4	4	no	—
146	C₂×D₄×D₄₃	C₂³	1	8	yes	—
147	C₂³×Dic₄₃	C₂³	1	2	yes	—
148	C₂³×Dic₄₃	C₂³	1	2	yes	—
149	C₂³×Dic₄₃	C₂³	1	2	yes	—
150	C₂²×C₄×D₄₃	C₂³	1	1	yes	characteristic
151	C₂²×C₄×D₄₃	C₂³	1	1	yes	characteristic
152	C₂²×C₄×D₄₃	C₂³	1	1	yes	characteristic
153	C₂²×C₄×D₄₃	C₂³	1	2	yes	—
154	C₂²×C₄×D₄₃	C₂³	1	2	yes	—
155	C₂²×C₄×D₄₃	C₂³	1	2	yes	—
156	#13063324	C₂³	1	16	yes	complemented
157	#13063324	C₂³	1	16	yes	complemented
158	#13063324	C₂³	1	8	yes	complemented
159	#13063324	C₂³	1	8	yes	complemented
160	#13063323	C₂³	1	16	yes	complemented
161	#13063320	C₂³	1	16	yes	complemented
162	#13063320	C₂³	1	16	yes	complemented
163	#13063320	C₂³	1	16	yes	complemented
164	#13063318	C₂³	1	16	yes	complemented
165	#13063318	C₂³	1	16	yes	complemented
166	#13063318	C₂³	1	16	yes	complemented
167	#13063318	C₂³	1	16	yes	complemented
168	#13063317	C₂³	1	8	yes	complemented
169	#13063317	C₂³	1	8	yes	complemented
170	#13063314	C₂³	1	8	yes	—
171	#13063313	C₂³	1	8	yes	—
172	#13063312	C₂³	1	8	yes	—
173	#13063312	C₂³	1	16	yes	complemented
174	#13063312	C₂³	1	16	yes	complemented
175	#13063311	C₂³	1	16	yes	—
176	#13063311	C₂³	1	16	yes	—
177	#13063311	C₂³	1	16	yes	—
178	#13063311	C₂³	1	16	yes	complemented
179	#13063311	C₂³	1	16	yes	complemented
180	#13063310	C₂³	1	16	yes	—
181	#13063309	C₂³	1	16	yes	complemented
182	#13063308	C₂³	1	16	yes	complemented
183	#13063307	C₂³	1	16	yes	—
184	#13063307	C₂³	1	16	yes	complemented
185	#13063306	C₂³	1	16	yes	—
186	#13063306	C₂³	1	16	yes	complemented
187	#13063305	C₂³	1	16	yes	—
188	#13063305	C₂³	1	16	yes	complemented
189	#13063304	C₂³	1	16	yes	complemented
190	#13063303	C₂³	1	16	yes	—
191	#13063303	C₂³	1	16	yes	—
192	#13063303	C₂³	1	16	yes	—
193	#13063303	C₂³	1	16	yes	complemented
194	#13063303	C₂³	1	16	yes	complemented
195	#13063303	C₂³	1	16	yes	complemented
196	#13063302	C₂³	1	16	yes	complemented
197	#13063302	C₂³	1	16	yes	complemented
198	#13063302	C₂³	1	16	yes	complemented
199	#13063302	C₂³	1	16	yes	complemented
200	#13063302	C₂³	1	16	yes	complemented
201	#13063301	C₂³	1	8	yes	—
202	#13063301	C₂³	1	16	yes	complemented
203	#13063298	C₂³	1	16	yes	—
204	#13063297	C₂³	1	16	yes	—
205	#13063297	C₂³	1	16	yes	complemented
206	#13063296	C₂³	1	8	yes	—
207	#13063293	C₂³	1	16	yes	—
208	#13063293	C₂³	1	16	yes	—
209	Q₈×Dic₄₃	C₂³	1	8	yes	complemented
210	#13063290	C₂³	1	16	yes	complemented
211	#13063290	C₂³	1	16	yes	complemented
212	#13063290	C₂³	1	16	yes	complemented
213	D₄×Dic₄₃	C₂³	1	8	yes	complemented
214	D₄×Dic₄₃	C₂³	1	16	yes	complemented
215	C₄×C₂²⋊D₄₃	C₂³	1	16	yes	—
216	C₄×C₂²⋊D₄₃	C₂³	1	16	yes	—
217	C₄×C₂²⋊D₄₃	C₂³	1	16	yes	complemented
218	(C₂²⋊D₄₃)⋊C₄	C₂³	1	16	yes	—
219	(C₂²⋊D₄₃)⋊C₄	C₂³	1	16	yes	—
220	#13063284	C₂³	1	16	yes	complemented
221	#13063283	C₂³	1	8	yes	—
222	#13063283	C₂³	1	8	yes	—
223	#13063283	C₂³	1	16	yes	complemented
224	#13063281	C₂³	1	16	yes	complemented
225	C₂×C₄⋊Dic₄₃	C₂³	1	1	yes	characteristic
226	C₂×C₄⋊Dic₄₃	C₂³	1	1	yes	characteristic
227	C₂×C₄⋊Dic₄₃	C₂³	1	2	yes	—
228	C₂×C₄⋊Dic₄₃	C₂³	1	2	yes	—
229	C₂×C₄⋊Dic₄₃	C₂³	1	1	yes	characteristic
230	C₂×C₄⋊Dic₄₃	C₂³	1	2	yes	—
231	C₂×C₄⋊Dic₄₃	C₂³	1	1	yes	characteristic
232	C₂×Dic₄₃⋊C₄	C₂³	1	2	yes	—
233	C₂×Dic₄₃⋊C₄	C₂³	1	2	yes	—
234	C₂×Dic₄₃⋊C₄	C₂³	1	2	yes	—
235	C₂×Dic₄₃⋊C₄	C₂³	1	2	yes	—
236	C₂×Dic₄₃⋊C₄	C₂³	1	2	yes	—
237	C₂×Dic₄₃⋊C₄	C₂³	1	2	yes	—
238	C₂×Dic₄₃⋊C₄	C₂³	1	2	yes	—
239	C₂×Dic₄₃⋊C₄	C₂³	1	2	yes	—
240	C₂×Dic₄₃⋊C₄	C₂³	1	2	yes	—
241	C₂×Dic₄₃⋊C₄	C₂³	1	2	yes	—
242	C₂×Dic₄₃⋊C₄	C₂³	1	2	yes	—
243	C₂×C₂²⋊Dic₄₃	C₂³	1	2	yes	—
244	C₂×C₂²⋊Dic₄₃	C₂³	1	2	yes	—
245	C₂×C₂²⋊Dic₄₃	C₂³	1	2	yes	—
246	C₂×C₂²⋊Dic₄₃	C₂³	1	2	yes	—
247	C₂×C₂²⋊Dic₄₃	C₂³	1	2	yes	—
248	C₂×C₂²⋊Dic₄₃	C₂³	1	2	yes	—
249	C₂×C₂²⋊Dic₄₃	C₂³	1	2	yes	—
250	C₂×C₂²⋊Dic₄₃	C₂³	1	2	yes	—
251	C₂×(C₂×D₄₃)⋊C₄	C₂³	1	16	yes	—
252	C₂×(C₂×D₄₃)⋊C₄	C₂³	1	2	yes	—
253	C₂×(C₂×D₄₃)⋊C₄	C₂³	1	2	yes	—
254	C₂×(C₂×D₄₃)⋊C₄	C₂³	1	2	yes	—
255	C₂×(C₂×D₄₃)⋊C₄	C₂³	1	2	yes	—
256	C₂×(C₂×D₄₃)⋊C₄	C₂³	1	2	yes	—
257	C₂×(C₂×D₄₃)⋊C₄	C₂³	1	2	yes	—
258	C₂×(C₂×D₄₃)⋊C₄	C₂³	1	2	yes	—
259	C₂×(C₂×D₄₃)⋊C₄	C₂³	1	2	yes	—
260	C₂×(C₂×D₄₃)⋊C₄	C₂³	1	2	yes	—
261	C₂×(C₂×D₄₃)⋊C₄	C₂³	1	2	yes	—
262	C₂×(C₂×D₄₃)⋊C₄	C₂³	1	2	yes	—
263	C₂²⋊C₄×D₄₃	C₂³	1	16	yes	—
264	C₂²⋊C₄×D₄₃	C₂³	1	16	yes	—
265	C₂²⋊C₄×D₄₃	C₂³	1	16	yes	—
266	C₂×C₄×Dic₄₃	C₂³	1	1	yes	characteristic
267	C₂×C₄×Dic₄₃	C₂³	1	1	yes	characteristic
268	C₂×C₄×Dic₄₃	C₂³	1	1	yes	characteristic
269	C₂×C₄×Dic₄₃	C₂³	1	2	yes	—
270	C₂×C₄×Dic₄₃	C₂³	1	2	yes	—
271	C₂×C₄×Dic₄₃	C₂³	1	2	yes	—
272	C₂×C₄×Dic₄₃	C₂³	1	2	yes	—
273	C₂×C₄×Dic₄₃	C₂³	1	2	yes	—
274	C₄²×D₄₃	C₂³	1	8	yes	—
275	C₂²×Q₈×C₄₃	C₂³	1	1	yes	characteristic
276	C₂²×Q₈×C₄₃	C₂³	1	1	yes	characteristic
277	C₂²×D₄×C₄₃	C₂³	1	1	yes	characteristic
278	C₂²×D₄×C₄₃	C₂³	1	2	yes	—
279	C₂²×D₄×C₄₃	C₂³	1	2	yes	—
280	C₂²×D₄×C₄₃	C₂³	1	1	yes	characteristic
281	C₂³×C₄×C₄₃	C₂³	1	2	yes	—
282	C₂³×C₄×C₄₃	C₂³	1	2	yes	—
283	#125×C₄₃	C₂³	1	8	yes	complemented
284	#124×C₄₃	C₂³	1	8	yes	—
285	#124×C₄₃	C₂³	1	8	yes	complemented
286	#123×C₄₃	C₂³	1	16	yes	complemented
287	#123×C₄₃	C₂³	1	16	yes	complemented
288	C₂²⋊Q₈×C₄₃	C₂³	1	16	yes	complemented
289	C₂²⋊Q₈×C₄₃	C₂³	1	16	yes	complemented
290	#121×C₄₃	C₂³	1	16	yes	—
291	#121×C₄₃	C₂³	1	16	yes	complemented
292	C₂×C₄⋊C₄×C₄₃	C₂³	1	2	yes	—
293	C₂×C₄⋊C₄×C₄₃	C₂³	1	2	yes	—
294	C₂×C₄⋊C₄×C₄₃	C₂³	1	2	yes	—
295	C₂×C₄⋊C₄×C₄₃	C₂³	1	2	yes	—
296	C₂×C₄⋊C₄×C₄₃	C₂³	1	1	yes	characteristic
297	C₂×C₄⋊C₄×C₄₃	C₂³	1	1	yes	characteristic
298	C₂×C₂²⋊C₄×C₄₃	C₂³	1	2	yes	—
299	C₂×C₂²⋊C₄×C₄₃	C₂³	1	2	yes	—
300	C₂×C₂²⋊C₄×C₄₃	C₂³	1	2	yes	—
301	C₂×C₂²⋊C₄×C₄₃	C₂³	1	2	yes	—
302	C₂×C₂²⋊C₄×C₄₃	C₂³	1	2	yes	—
303	C₂×C₂²⋊C₄×C₄₃	C₂³	1	2	yes	—
304	C₂×C₄²×C₄₃	C₂³	1	1	yes	characteristic
305	C₂⁴×C₄₃	C₂⁴	1	2	yes	—
306	C₂⁴×C₄₃	C₂⁴	1	2	yes	—
307	C₂³×D₄₃	—	2	8	no	—
308	C₂³×D₄₃	—	4	4	no	—
309	C₂³×D₄₃	—	4	4	no	—
310	C₂³×D₄₃	C₂⁴	1	2	yes	—
311	C₂³×D₄₃	C₂⁴	1	1	yes	characteristic
312	C₂³×D₄₃	C₂⁴	1	8	yes	—
313	C₂×Q₈×C₄₃	—	4	2	no	—
314	C₂×Q₈×C₄₃	—	4	2	no	—
315	C₂×Q₈×C₄₃	C₂⁴	1	4	yes	—
316	C₂×Q₈×C₄₃	C₂⁴	1	4	yes	—
317	C₂×D₄×C₄₃	—	4	2	no	—
318	C₂×D₄×C₄₃	—	4	4	no	—
319	C₂×D₄×C₄₃	—	4	2	no	—
320	C₂×D₄×C₄₃	—	4	4	no	—
321	C₂×D₄×C₄₃	C₂⁴	1	4	yes	—
322	C₂×D₄×C₄₃	C₂⁴	1	8	yes	—
323	C₂×D₄×C₄₃	C₂⁴	1	8	yes	—
324	C₂×D₄×C₄₃	C₂⁴	1	4	yes	—
325	C₂²×C₄×C₄₃	—	4	4	no	—
326	C₂²×C₄×C₄₃	—	4	4	no	—
327	C₂²×C₄×C₄₃	C₂⁴	1	1	yes	characteristic
328	C₂²×C₄×C₄₃	C₂⁴	1	1	yes	characteristic
329	C₂²×C₄×C₄₃	C₂⁴	1	1	yes	characteristic
330	C₂²×C₄×C₄₃	C₂⁴	1	2	yes	—
331	C₂²×C₄×C₄₃	C₂⁴	1	2	yes	—
332	C₂²×C₄×C₄₃	C₂⁴	1	2	yes	—
333	C₂²×C₄×C₄₃	C₂⁴	1	2	yes	—
334	C₂²×C₄×C₄₃	C₂⁴	1	8	yes	—
335	C₂²×C₄×C₄₃	C₂⁴	1	8	yes	—
336	C₂×C₂²⋊D₄₃	—	2	8	no	—
337	C₂×C₂²⋊D₄₃	—	2	8	no	—
338	C₂×C₂²⋊D₄₃	—	4	4	no	—
339	C₂×C₂²⋊D₄₃	—	4	4	no	—
340	C₂×C₂²⋊D₄₃	C₂⁴	1	8	yes	—
341	C₂×C₂²⋊D₄₃	C₂⁴	1	8	yes	—
342	C₂×C₂²⋊D₄₃	C₂⁴	1	8	yes	—
343	C₂×C₂²⋊D₄₃	C₂⁴	1	8	yes	—
344	C₂²×Dic₄₃	—	2	8	no	—
345	C₂²×Dic₄₃	—	4	4	no	—
346	C₂²×Dic₄₃	—	4	4	no	—
347	C₂²×Dic₄₃	C₂⁴	1	1	yes	characteristic
348	C₂²×Dic₄₃	C₂⁴	1	2	yes	—
349	C₂²×Dic₄₃	C₂⁴	1	1	yes	characteristic
350	C₂²×Dic₄₃	C₂⁴	1	2	yes	—
351	C₂²×Dic₄₃	C₂⁴	1	2	yes	—
352	C₂²×Dic₄₃	C₂⁴	1	2	yes	—
353	C₂²×Dic₄₃	C₂⁴	1	2	yes	—
354	C₂²×Dic₄₃	C₂⁴	1	8	yes	—
355	C₂²×Dic₄₃	C₂⁴	1	8	yes	—
356	C₂²×Dic₄₃	C₂⁴	1	8	yes	—
357	C₂²×Dic₄₃	C₂⁴	1	1	yes	characteristic
358	Q₈×D₄₃	—	4	16	no	—
359	#10621900	—	4	32	no	—
360	D₄×D₄₃	—	4	16	no	—
361	C₂×D₁₇₂	—	4	2	no	—
362	C₂×D₁₇₂	C₂⁴	1	4	yes	—
363	C₂×C₄×D₄₃	—	2	4	no	—
364	C₂×C₄×D₄₃	—	2	4	no	—
365	C₂×C₄×D₄₃	—	4	2	no	—
366	C₂×C₄×D₄₃	—	4	4	no	—
367	C₂×C₄×D₄₃	—	4	4	no	—
368	C₂×C₄×D₄₃	—	4	4	no	—
369	C₂×C₄×D₄₃	C₂⁴	1	4	yes	—
370	C₂×C₄×D₄₃	C₂⁴	1	4	yes	—
371	C₂×C₄×D₄₃	C₂⁴	1	4	yes	—
372	C₂×C₄×D₄₃	C₂⁴	1	8	yes	—
373	C₂×C₄×D₄₃	C₂⁴	1	8	yes	—
374	C₂×C₄×D₄₃	C₂⁴	1	8	yes	—
375	C₂×Dic₈₆	—	2	8	no	—
376	C₂×Dic₈₆	—	2	8	no	—
377	C₂×Dic₈₆	—	4	32	no	—
378	C₂×Dic₈₆	—	4	2	no	—
379	C₂×Dic₈₆	—	4	4	no	—
380	C₂×Dic₈₆	—	4	4	no	—
381	C₂×Dic₈₆	—	4	4	no	—
382	C₂×Dic₈₆	C₂⁴	1	8	yes	—
383	C₂×Dic₈₆	C₂⁴	1	8	yes	—
384	C₂×Dic₈₆	C₂⁴	1	8	yes	—
385	C₂×Dic₈₆	C₂⁴	1	8	yes	—
386	C₂×Dic₈₆	C₂⁴	1	4	yes	—
387	C₂×Dic₈₆	C₂⁴	1	8	yes	—
388	C₄⋊C₄×C₄₃	C₂⁴	1	8	yes	—
389	C₄⋊C₄×C₄₃	C₂⁴	1	8	yes	—
390	C₄⋊C₄×C₄₃	C₂⁴	1	8	yes	—
391	C₄⋊C₄×C₄₃	C₂⁴	1	8	yes	—
392	C₄⋊C₄×C₄₃	C₂⁴	1	4	yes	—
393	C₄⋊C₄×C₄₃	C₂⁴	1	4	yes	—
394	C₂²⋊C₄×C₄₃	C₂⁴	1	8	yes	—
395	C₂²⋊C₄×C₄₃	C₂⁴	1	8	yes	—
396	C₂²⋊C₄×C₄₃	C₂⁴	1	8	yes	—
397	C₂²⋊C₄×C₄₃	C₂⁴	1	8	yes	—
398	C₂²⋊C₄×C₄₃	C₂⁴	1	8	yes	—
399	C₂²⋊C₄×C₄₃	C₂⁴	1	8	yes	—
400	C₄²×C₄₃	C₂⁴	1	4	yes	—
401	C₂²⋊Dic₄₃	C₂⁴	1	8	yes	—
402	C₂²⋊Dic₄₃	C₂⁴	1	8	yes	—
403	C₂²⋊Dic₄₃	C₂⁴	1	8	yes	—
404	C₂²⋊Dic₄₃	C₂⁴	1	8	yes	—
405	C₂²⋊Dic₄₃	C₂⁴	1	8	yes	—
406	C₂²⋊Dic₄₃	C₂⁴	1	8	yes	—
407	C₂²⋊Dic₄₃	C₂⁴	1	8	yes	—
408	C₂²⋊Dic₄₃	C₂⁴	1	8	yes	—
409	(C₂×D₄₃)⋊C₄	C₂⁴	1	8	yes	—
410	(C₂×D₄₃)⋊C₄	C₂⁴	1	8	yes	—
411	(C₂×D₄₃)⋊C₄	C₂⁴	1	8	yes	—
412	(C₂×D₄₃)⋊C₄	C₂⁴	1	8	yes	—
413	(C₂×D₄₃)⋊C₄	C₂⁴	1	8	yes	—
414	(C₂×D₄₃)⋊C₄	C₂⁴	1	8	yes	—
415	(C₂×D₄₃)⋊C₄	C₂⁴	1	8	yes	—
416	(C₂×D₄₃)⋊C₄	C₂⁴	1	8	yes	—
417	(C₂×D₄₃)⋊C₄	C₂⁴	1	8	yes	—
418	(C₂×D₄₃)⋊C₄	C₂⁴	1	8	yes	—
419	(C₂×D₄₃)⋊C₄	C₂⁴	1	8	yes	—
420	C₄⋊Dic₄₃	C₂⁴	1	4	yes	—
421	C₄⋊Dic₄₃	C₂⁴	1	4	yes	—
422	C₄⋊Dic₄₃	C₂⁴	1	8	yes	—
423	C₄⋊Dic₄₃	C₂⁴	1	8	yes	—
424	C₄⋊Dic₄₃	C₂⁴	1	4	yes	—
425	C₄⋊Dic₄₃	C₂⁴	1	8	yes	—
426	C₄⋊Dic₄₃	C₂⁴	1	4	yes	—
427	Dic₄₃⋊C₄	C₂⁴	1	8	yes	—
428	Dic₄₃⋊C₄	C₂⁴	1	8	yes	—
429	Dic₄₃⋊C₄	C₂⁴	1	8	yes	—
430	Dic₄₃⋊C₄	C₂⁴	1	8	yes	—
431	Dic₄₃⋊C₄	C₂⁴	1	8	yes	—
432	Dic₄₃⋊C₄	C₂⁴	1	8	yes	—
433	Dic₄₃⋊C₄	C₂⁴	1	8	yes	—
434	Dic₄₃⋊C₄	C₂⁴	1	8	yes	—
435	Dic₄₃⋊C₄	C₂⁴	1	8	yes	—
436	Dic₄₃⋊C₄	C₂⁴	1	8	yes	—
437	Dic₄₃⋊C₄	C₂⁴	1	8	yes	—
438	C₄×Dic₄₃	C₂⁴	1	4	yes	—
439	C₄×Dic₄₃	C₂⁴	1	4	yes	—
440	C₄×Dic₄₃	C₂⁴	1	4	yes	—
441	C₄×Dic₄₃	C₂⁴	1	8	yes	—
442	C₄×Dic₄₃	C₂⁴	1	8	yes	—
443	C₄×Dic₄₃	C₂⁴	1	8	yes	—
444	C₄×Dic₄₃	C₂⁴	1	8	yes	—
445	C₄×Dic₄₃	C₂⁴	1	8	yes	—
446	C₂³×C₄₃	—	2	4	no	—
447	C₂³×C₄₃	—	2	4	no	—
448	C₂³×C₄₃	—	2	4	no	—
449	C₂³×C₄₃	—	2	4	no	—
450	C₂³×C₄₃	—	2	4	no	—
451	C₂³×C₄₃	—	2	4	no	—
452	C₂³×C₄₃	C₂⁵	1	4	yes	—
453	C₂³×C₄₃	C₂⁵	1	4	yes	—
454	C₂³×C₄₃	C₂⁵	1	1	yes	characteristic
455	C₂²×D₄₃	—	2	2	no	—
456	C₂²×D₄₃	—	2	2	no	—
457	C₂²×D₄₃	—	2	4	no	—
458	C₂²×D₄₃	—	2	4	no	—
459	C₂²×D₄₃	—	2	4	no	—
460	C₂²×D₄₃	—	2	16	no	—
461	C₂²×D₄₃	—	4	8	no	—
462	C₂²×D₄₃	—	4	8	no	—
463	C₂²×D₄₃	—	8	16	no	—
464	C₂²×D₄₃	2₋¹⁺⁴	1	4	yes	—
465	C₂²×D₄₃	C₂⁵	1	4	yes	—
466	C₂²×D₄₃	C₂⁵	1	2	yes	—
467	Q₈×C₄₃	—	4	4	no	—
468	Q₈×C₄₃	—	4	4	no	—
469	D₄×C₄₃	—	4	4	no	—
470	D₄×C₄₃	—	4	8	no	—
471	D₄×C₄₃	—	4	8	no	—
472	D₄×C₄₃	—	4	4	no	—
473	C₂×C₄×C₄₃	—	2	4	no	—
474	C₂×C₄×C₄₃	—	2	4	no	—
475	C₂×C₄×C₄₃	—	2	2	no	—
476	C₂×C₄×C₄₃	—	2	2	no	—
477	C₂×C₄×C₄₃	—	2	4	no	—
478	C₂×C₄×C₄₃	—	2	4	no	—
479	C₂×C₄×C₄₃	—	2	2	no	—
480	C₂×C₄×C₄₃	—	4	8	no	—
481	C₂×C₄×C₄₃	—	4	8	no	—
482	C₂×C₄×C₄₃	C₂⁵	1	4	yes	—
483	C₂×C₄×C₄₃	C₂⁵	1	2	yes	—
484	C₂×C₄×C₄₃	C₂⁵	1	2	yes	—
485	C₂×C₄×C₄₃	C₂⁵	1	2	yes	—
486	C₂×C₄×C₄₃	C₂⁵	1	4	yes	—
487	C₂×C₄×C₄₃	C₂⁵	1	4	yes	—
488	C₂×C₄×C₄₃	C₂⁵	1	4	yes	—
489	C₂²⋊D₄₃	—	2	16	no	—
490	C₂²⋊D₄₃	—	2	16	no	—
491	C₂²⋊D₄₃	—	4	8	no	—
492	C₂²⋊D₄₃	—	4	8	no	—
493	C₂×Dic₄₃	—	2	4	no	—
494	C₂×Dic₄₃	—	2	4	no	—
495	C₂×Dic₄₃	—	2	4	no	—
496	C₂×Dic₄₃	—	2	2	no	—
497	C₂×Dic₄₃	—	2	4	no	—
498	C₂×Dic₄₃	—	2	2	no	—
499	C₂×Dic₄₃	—	2	4	no	—
500	C₂×Dic₄₃	—	2	16	no	—
501	C₂×Dic₄₃	—	4	8	no	—
502	C₂×Dic₄₃	—	4	8	no	—
503	C₂×Dic₄₃	H(5,𝔽₂)	1	4	yes	—
504	C₂×Dic₄₃	C₂⁵	1	2	yes	—
505	C₂×Dic₄₃	C₂⁵	1	4	yes	—
506	C₂×Dic₄₃	C₂⁵	1	4	yes	—
507	C₂×Dic₄₃	C₂⁵	1	2	yes	—
508	C₂×Dic₄₃	C₂⁵	1	4	yes	—
509	C₂×Dic₄₃	C₂⁵	1	4	yes	—
510	C₂×Dic₄₃	C₂⁵	1	4	yes	—
511	C₂×Dic₄₃	C₂⁵	1	2	yes	—
512	D₁₇₂	—	4	4	no	—
513	C₄×D₄₃	—	2	8	no	—
514	C₄×D₄₃	—	2	8	no	—
515	C₄×D₄₃	—	4	4	no	—
516	C₄×D₄₃	—	4	8	no	—
517	C₄×D₄₃	—	4	8	no	—
518	C₄×D₄₃	—	4	8	no	—
519	Dic₈₆	—	2	16	no	—
520	Dic₈₆	—	2	16	no	—
521	Dic₈₆	—	4	8	no	—
522	Dic₈₆	—	4	8	no	—
523	Dic₈₆	—	4	8	no	—
524	Dic₈₆	—	4	4	no	—
525	C₂×#3561	—	43	1	no	maximal, Sylow
526	C₂²×C₄₃	—	2	4	no	—
527	C₂²×C₄₃	—	2	4	no	—
528	C₂²×C₄₃	—	2	4	no	—
529	C₂²×C₄₃	—	2	4	no	—
530	C₂²×C₄₃	—	2	4	no	—
531	C₂²×C₄₃	—	2	4	no	—
532	C₂²×C₄₃	—	4	8	no	—
533	C₂²×C₄₃	—	4	8	no	—
534	C₂²×C₄₃	C₂×H(5,𝔽₂)	1	2	yes	—
535	C₂²×C₄₃	C₂×2₋¹⁺⁴	1	2	yes	—
536	C₂²×C₄₃	#585	1	2	yes	—
537	C₂²×C₄₃	C₂⁶	1	1	yes	characteristic
538	C₂×D₄₃	—	2	2	no	—
539	C₂×D₄₃	—	2	2	no	—
540	C₂×D₄₃	—	2	8	no	—
541	C₂×D₄₃	—	2	4	no	—
542	C₂×D₄₃	—	2	4	no	—
543	C₂×D₄₃	—	2	4	no	—
544	C₂×D₄₃	—	4	8	no	—
545	C₂×D₄₃	—	8	16	no	—
546	C₂×D₄₃	C₂×2₋¹⁺⁴	1	4	yes	—
547	C₄×C₄₃	—	2	4	no	—
548	C₄×C₄₃	—	2	4	no	—
549	C₄×C₄₃	—	2	2	no	—
550	C₄×C₄₃	—	2	2	no	—
551	C₄×C₄₃	—	2	4	no	—
552	C₄×C₄₃	—	2	4	no	—
553	C₄×C₄₃	—	2	2	no	—
554	Dic₄₃	—	2	4	no	—
555	Dic₄₃	—	2	4	no	—
556	Dic₄₃	—	2	4	no	—
557	Dic₄₃	—	2	2	no	—
558	Dic₄₃	—	2	4	no	—
559	Dic₄₃	—	2	2	no	—
560	Dic₄₃	—	2	4	no	—
561	Dic₄₃	C₂×H(5,𝔽₂)	1	4	yes	—
562	#3561	—	43	32	no	—
563	C₂×#563	—	43	1	no	—
564	C₂×#563	—	43	1	no	—
565	C₂×#562	—	43	1	no	—
566	C₂×#562	D₄₃	1	1	yes	characteristic, complemented
567	C₂×#556	—	43	2	no	—
568	C₂×#551	—	43	2	no	—
569	C₂×#551	—	43	2	no	—
570	C₂×D₄×Q₈	—	43	2	no	—
571	C₂×#548	—	43	2	no	—
572	C₂×#546	—	43	2	no	—
573	C₂×#543	—	43	2	no	—
574	C₂×#542	—	43	2	no	—
575	C₂×#542	—	43	2	no	—
576	C₂×#542	—	43	2	no	—
577	C₂×#538	—	43	2	no	—
578	C₂×#536	—	43	2	no	—
579	C₂×#533	—	43	1	no	—
580	C₂×#529	—	43	1	no	—
581	C₂²×#124	—	43	1	no	—
582	C₂×C₄₃	—	4	4	no	—
583	C₂×C₄₃	—	4	4	no	—
584	C₂×C₄₃	#3561	1	4	yes	complemented
585	C₂×C₄₃	C₂²×H(5,𝔽₂)	1	1	yes	characteristic
586	C₂×C₄₃	C₂²×2₋¹⁺⁴	1	1	yes	characteristic
587	C₂×C₄₃	C₂×#585	1	1	yes	characteristic
588	D₄₃	—	2	4	no	—
589	D₄₃	—	4	4	no	—
590	C₂²×#41	—	43	2	no	—
591	C₂³×Q₈	—	43	1	no	—
592	C₂³×Q₈	—	43	2	no	—
593	C₂³×D₄	—	43	1	no	—
594	#563	—	43	16	no	—
595	#563	—	43	16	no	—
596	#562	—	43	16	no	—
597	#562	C₂×D₄₃	1	16	yes	complemented
598	#556	—	43	32	no	—
599	#551	—	43	32	no	—
600	#551	—	43	32	no	—
601	D₄×Q₈	—	43	32	no	—
602	#548	—	43	32	no	—
603	#546	—	43	32	no	—
604	#543	—	43	32	no	—
605	#542	—	43	32	no	—
606	#542	—	43	32	no	—
607	#542	—	43	32	no	—
608	#538	—	43	32	no	—
609	#536	—	43	32	no	—
610	#533	—	43	16	no	—
611	C₂×C₄⋊Q₈	—	43	2	no	—
612	C₂×C₄⋊Q₈	—	43	1	no	—
613	C₂×C₄⋊Q₈	—	43	1	no	—
614	C₂×C₄⋊Q₈	—	43	2	no	—
615	C₂×C₄⋊Q₈	—	43	2	no	—
616	#529	—	43	16	no	—
617	C₂×#126	—	43	2	no	—
618	C₂×#126	—	43	2	no	—
619	C₂×#126	—	43	2	no	—
620	C₂×#126	—	43	2	no	—
621	C₂×#126	—	43	2	no	—
622	C₂×#126	—	43	2	no	—
623	C₂×#126	—	43	2	no	—
624	C₂×#125	—	43	1	no	—
625	C₂×#125	—	43	1	no	—
626	C₂×#125	C₂×D₄₃	1	1	yes	characteristic, complemented
627	C₂×#124	—	43	1	no	—
628	C₂×#124	—	43	1	no	—
629	C₂×#124	—	43	2	no	—
630	C₂×#124	—	43	2	no	—
631	C₂×#124	—	43	16	no	—
632	C₂×#124	—	43	2	no	—
633	C₂×#124	—	43	2	no	—
634	C₂×#124	—	43	2	no	—
635	C₂×#124	—	43	2	no	—
636	C₂×#124	—	43	2	no	—
637	C₂×#124	—	43	1	no	—
638	C₂×#124	C₂×D₄₃	1	1	yes	characteristic
639	C₂×#124	C₂×D₄₃	1	1	yes	characteristic, complemented
640	C₂×#123	—	43	2	no	—
641	C₂×#123	—	43	2	no	—
642	C₂×#123	—	43	2	no	—
643	C₂×#123	—	43	2	no	—
644	C₂×#123	—	43	2	no	—
645	C₂×#123	—	43	2	no	—
646	C₂×#123	—	43	2	no	—
647	C₂×#123	C₂×D₄₃	1	2	yes	complemented
648	C₂×#123	C₂×D₄₃	1	2	yes	complemented
649	C₂×C₂²⋊Q₈	—	43	1	no	—
650	C₂×C₂²⋊Q₈	—	43	2	no	—
651	C₂×C₂²⋊Q₈	—	43	2	no	—
652	C₂×C₂²⋊Q₈	—	43	2	no	—
653	C₂×C₂²⋊Q₈	—	43	2	no	—
654	C₂×C₂²⋊Q₈	—	43	2	no	—
655	C₂×C₂²⋊Q₈	—	43	2	no	—
656	C₂×C₂²⋊Q₈	—	43	2	no	—
657	C₂×C₂²⋊Q₈	—	43	2	no	—
658	C₂×C₂²⋊Q₈	—	43	2	no	—
659	C₂×C₂²⋊Q₈	—	43	2	no	—
660	C₂×C₂²⋊Q₈	—	43	2	no	—
661	C₂×C₂²⋊Q₈	—	43	2	no	—
662	C₂×C₂²⋊Q₈	—	43	2	no	—
663	C₂×C₂²⋊Q₈	—	43	2	no	—
664	C₂×C₂²⋊Q₈	—	43	2	no	—
665	C₂×C₂²⋊Q₈	C₂×D₄₃	1	2	yes	complemented
666	C₂×C₂²⋊Q₈	C₂×D₄₃	1	2	yes	complemented
667	C₂×#121	—	43	1	no	—
668	C₂×#121	—	43	2	no	—
669	C₂×#121	—	43	2	no	—
670	C₂×#121	—	43	2	no	—
671	C₂×#121	C₂×D₄₃	1	2	yes	—
672	C₂×#121	C₂×D₄₃	1	2	yes	complemented
673	C₂×#120	—	43	2	no	—
674	C₂×#120	—	43	2	no	—
675	C₂×C₄×Q₈	—	43	1	no	—
676	C₂×C₄×Q₈	—	43	2	no	—
677	C₂×C₄×Q₈	—	43	2	no	—
678	C₂×C₄×Q₈	—	43	2	no	—
679	C₂×C₄×D₄	—	43	1	no	—
680	C₂×C₄×D₄	—	43	2	no	—
681	C₂×C₄×D₄	—	43	2	no	—
682	C₂×C₄×D₄	—	43	2	no	—
683	C₂×C₄×D₄	—	43	2	no	—
684	C₂×C₄×D₄	—	43	2	no	—
685	C₂×C₄×D₄	—	43	2	no	—
686	C₂×#117	—	43	2	no	—
687	C₂×#117	—	43	1	no	—
688	C₂×#117	—	43	1	no	—
689	C₂×#117	—	43	2	no	—
690	C₂×#117	—	43	2	no	—
691	C₂²×C₂²⋊C₄	—	43	2	no	—
692	C₂²×C₂²⋊C₄	—	43	2	no	—
693	C₂²×C₂²⋊C₄	—	43	2	no	—
694	C₂²×C₂²⋊C₄	—	43	2	no	—
695	C₂²×C₄²	—	43	1	no	—
696	C₄₃	C₂×#3561	1	1	yes	characteristic, complemented, Sylow
697	C₂⁵	—	43	2	no	—
698	C₂×#41	—	43	16	no	—
699	C₂×#41	—	172	8	no	—
700	C₂²×Q₈	—	43	8	no	—
701	C₂²×Q₈	—	43	2	no	—
702	C₂²×Q₈	—	43	2	no	—
703	C₂²×Q₈	—	43	2	no	—
704	C₂²×Q₈	—	43	2	no	—
705	C₂²×Q₈	—	43	2	no	—
706	C₂²×Q₈	—	43	1	no	—
707	C₂²×Q₈	—	43	16	no	—
708	C₂²×Q₈	—	172	8	no	—
709	C₂²×Q₈	—	172	4	no	—
710	C₂²×Q₈	C₂²×D₄₃	1	1	yes	characteristic
711	C₂²×Q₈	C₂²×D₄₃	1	1	yes	characteristic
712	C₂²×D₄	—	43	2	no	—
713	C₂²×D₄	—	43	2	no	—
714	C₂²×D₄	—	43	2	no	—
715	C₂²×D₄	—	43	2	no	—
716	C₂²×D₄	—	43	8	no	—
717	C₂²×D₄	—	43	1	no	—
718	C₂²×D₄	—	172	4	no	—
719	C₂²×D₄	C₂²×D₄₃	1	2	yes	—
720	C₂²×D₄	C₂²×D₄₃	1	1	yes	characteristic
721	C₂²×D₄	C₂²×D₄₃	1	2	yes	—
722	C₂²×D₄	C₂²×D₄₃	1	1	yes	characteristic
723	C₂³×C₄	—	43	2	no	—
724	C₂³×C₄	—	43	2	no	—
725	C₂³×C₄	—	43	2	no	—
726	C₂³×C₄	—	43	1	no	—
727	C₂³×C₄	—	43	1	no	—
728	C₂³×C₄	—	43	2	no	—
729	C₂³×C₄	—	43	1	no	—
730	C₂³×C₄	—	43	2	no	—
731	C₂³×C₄	—	43	2	no	—
732	C₂³×C₄	C₂²×D₄₃	1	2	yes	—
733	C₂³×C₄	C₂²×D₄₃	1	2	yes	—
734	C₄⋊Q₈	—	43	16	no	—
735	C₄⋊Q₈	—	43	8	no	—
736	C₄⋊Q₈	—	43	8	no	—
737	C₄⋊Q₈	—	43	16	no	—
738	C₄⋊Q₈	—	43	16	no	—
739	#126	—	43	16	no	—
740	#126	—	43	16	no	—
741	#126	—	43	16	no	—
742	#126	—	43	16	no	—
743	#126	—	43	16	no	—
744	#126	—	43	16	no	—
745	#126	—	43	16	no	—
746	#125	—	43	8	no	—
747	#125	—	43	8	no	—
748	#125	C₂²×D₄₃	1	8	yes	complemented
749	#124	—	43	8	no	—
750	#124	—	43	8	no	—
751	#124	—	43	16	no	—
752	#124	—	43	16	no	—
753	#124	—	43	16	no	—
754	#124	—	43	16	no	—
755	#124	—	43	16	no	—
756	#124	—	43	16	no	—
757	#124	—	43	16	no	—
758	#124	—	43	8	no	—
759	#124	C₂²×D₄₃	1	8	yes	—
760	#124	C₂²×D₄₃	1	8	yes	complemented
761	#123	—	43	16	no	—
762	#123	—	43	16	no	—
763	#123	—	43	16	no	—
764	#123	—	43	16	no	—
765	#123	—	43	16	no	—
766	#123	—	43	16	no	—
767	#123	—	43	16	no	—
768	#123	C₂²×D₄₃	1	16	yes	complemented
769	#123	C₂²×D₄₃	1	16	yes	complemented
770	C₂²⋊Q₈	—	43	8	no	—
771	C₂²⋊Q₈	—	43	16	no	—
772	C₂²⋊Q₈	—	43	16	no	—
773	C₂²⋊Q₈	—	43	16	no	—
774	C₂²⋊Q₈	—	43	16	no	—
775	C₂²⋊Q₈	—	43	16	no	—
776	C₂²⋊Q₈	—	43	16	no	—
777	C₂²⋊Q₈	—	43	16	no	—
778	C₂²⋊Q₈	—	43	16	no	—
779	C₂²⋊Q₈	—	43	16	no	—
780	C₂²⋊Q₈	—	43	16	no	—
781	C₂²⋊Q₈	—	43	16	no	—
782	C₂²⋊Q₈	—	43	16	no	—
783	C₂²⋊Q₈	—	43	16	no	—
784	C₂²⋊Q₈	—	43	16	no	—
785	C₂²⋊Q₈	—	43	16	no	—
786	C₂²⋊Q₈	C₂²×D₄₃	1	16	yes	complemented
787	C₂²⋊Q₈	C₂²×D₄₃	1	16	yes	complemented
788	#121	—	43	8	no	—
789	#121	—	43	16	no	—
790	#121	—	43	16	no	—
791	#121	—	43	16	no	—
792	#121	C₂²×D₄₃	1	16	yes	—
793	#121	C₂²×D₄₃	1	16	yes	complemented
794	#120	—	43	16	no	—
795	#120	—	43	16	no	—
796	C₄×Q₈	—	43	8	no	—
797	C₄×Q₈	—	43	16	no	—
798	C₄×Q₈	—	43	16	no	—
799	C₄×Q₈	—	43	16	no	—
800	C₄×D₄	—	43	8	no	—
801	C₄×D₄	—	43	16	no	—
802	C₄×D₄	—	43	16	no	—
803	C₄×D₄	—	43	16	no	—
804	C₄×D₄	—	43	16	no	—
805	C₄×D₄	—	43	16	no	—
806	C₄×D₄	—	43	16	no	—
807	#117	—	43	16	no	—
808	#117	—	43	8	no	—
809	#117	—	43	8	no	—
810	#117	—	43	16	no	—
811	#117	—	43	16	no	—
812	C₂×C₄⋊C₄	—	43	2	no	—
813	C₂×C₄⋊C₄	—	43	2	no	—
814	C₂×C₄⋊C₄	—	43	2	no	—
815	C₂×C₄⋊C₄	—	43	1	no	—
816	C₂×C₄⋊C₄	—	43	2	no	—
817	C₂×C₄⋊C₄	—	43	1	no	—
818	C₂×C₄⋊C₄	—	43	2	no	—
819	C₂×C₄⋊C₄	—	43	1	no	—
820	C₂×C₄⋊C₄	—	43	2	no	—
821	C₂×C₄⋊C₄	—	43	2	no	—
822	C₂×C₄⋊C₄	—	43	2	no	—
823	C₂×C₄⋊C₄	—	43	2	no	—
824	C₂×C₄⋊C₄	—	43	2	no	—
825	C₂×C₄⋊C₄	—	43	2	no	—
826	C₂×C₄⋊C₄	—	43	2	no	—
827	C₂×C₄⋊C₄	—	43	1	no	—
828	C₂×C₄⋊C₄	—	43	2	no	—
829	C₂×C₄⋊C₄	—	43	2	no	—
830	C₂×C₄⋊C₄	C₂²×D₄₃	1	2	yes	—
831	C₂×C₄⋊C₄	C₂²×D₄₃	1	1	yes	characteristic
832	C₂×C₄⋊C₄	C₂²×D₄₃	1	1	yes	characteristic
833	C₂×C₄⋊C₄	C₂²×D₄₃	1	2	yes	—
834	C₂×C₄⋊C₄	C₂²×D₄₃	1	2	yes	—
835	C₂×C₄⋊C₄	C₂²×D₄₃	1	2	yes	—
836	C₂×C₂²⋊C₄	—	43	2	no	—
837	C₂×C₂²⋊C₄	—	43	2	no	—
838	C₂×C₂²⋊C₄	—	43	2	no	—
839	C₂×C₂²⋊C₄	—	43	2	no	—
840	C₂×C₂²⋊C₄	—	43	2	no	—
841	C₂×C₂²⋊C₄	—	43	2	no	—
842	C₂×C₂²⋊C₄	—	43	2	no	—
843	C₂×C₂²⋊C₄	—	43	2	no	—
844	C₂×C₂²⋊C₄	—	43	2	no	—
845	C₂×C₂²⋊C₄	—	43	2	no	—
846	C₂×C₂²⋊C₄	—	43	2	no	—
847	C₂×C₂²⋊C₄	—	43	2	no	—
848	C₂×C₂²⋊C₄	—	43	2	no	—
849	C₂×C₂²⋊C₄	—	43	2	no	—
850	C₂×C₂²⋊C₄	—	43	2	no	—
851	C₂×C₂²⋊C₄	—	43	2	no	—
852	C₂×C₂²⋊C₄	—	43	2	no	—
853	C₂×C₂²⋊C₄	—	43	16	no	—
854	C₂×C₂²⋊C₄	—	43	2	no	—
855	C₂×C₂²⋊C₄	—	43	2	no	—
856	C₂×C₂²⋊C₄	—	43	16	no	—
857	C₂×C₂²⋊C₄	—	43	16	no	—
858	C₂×C₂²⋊C₄	—	43	16	no	—
859	C₂×C₂²⋊C₄	C₂²×D₄₃	1	2	yes	—
860	C₂×C₂²⋊C₄	C₂²×D₄₃	1	2	yes	—
861	C₂×C₂²⋊C₄	C₂²×D₄₃	1	2	yes	—
862	C₂×C₂²⋊C₄	C₂²×D₄₃	1	2	yes	—
863	C₂×C₂²⋊C₄	C₂²×D₄₃	1	2	yes	—
864	C₂×C₂²⋊C₄	C₂²×D₄₃	1	2	yes	—
865	C₂×C₄²	—	43	2	no	—
866	C₂×C₄²	—	43	2	no	—
867	C₂×C₄²	—	43	1	no	—
868	C₂×C₄²	—	43	2	no	—
869	C₂×C₄²	—	43	2	no	—
870	C₂×C₄²	—	43	2	no	—
871	C₂×C₄²	—	43	1	no	—
872	C₂×C₄²	—	43	1	no	—
873	C₂×C₄²	—	43	8	no	—
874	C₂×C₄²	C₂²×D₄₃	1	1	yes	characteristic
875	C₂⁴	—	43	1	no	—
876	C₂⁴	—	43	2	no	—
877	C₂⁴	—	43	8	no	—
878	C₂⁴	—	86	8	no	—
879	C₂⁴	—	172	4	no	—
880	C₂⁴	—	172	4	no	—
881	C₂⁴	C₂³×D₄₃	1	2	yes	—
882	C₂⁴	C₂³×D₄₃	1	2	yes	—
883	#41	—	172	32	no	—
884	C₂×Q₈	—	4	2	no	—
885	C₂×Q₈	—	4	2	no	—
886	C₂×Q₈	—	43	8	no	—
887	C₂×Q₈	—	43	8	no	—
888	C₂×Q₈	—	43	8	no	—
889	C₂×Q₈	—	43	8	no	—
890	C₂×Q₈	—	43	8	no	—
891	C₂×Q₈	—	43	4	no	—
892	C₂×Q₈	—	86	8	no	—
893	C₂×Q₈	—	86	8	no	—
894	C₂×Q₈	—	172	4	no	—
895	C₂×Q₈	—	172	4	no	—
896	C₂×Q₈	—	172	2	no	—
897	C₂×Q₈	—	172	4	no	—
898	C₂×Q₈	—	172	32	no	—
899	C₂×Q₈	—	172	16	no	—
900	C₂×Q₈	C₂³×D₄₃	1	4	yes	—
901	C₂×Q₈	C₂³×D₄₃	1	4	yes	—
902	C₂×D₄	—	4	2	no	—
903	C₂×D₄	—	4	4	no	—
904	C₂×D₄	—	4	4	no	—
905	C₂×D₄	—	4	2	no	—
906	C₂×D₄	—	43	8	no	—
907	C₂×D₄	—	43	8	no	—
908	C₂×D₄	—	43	8	no	—
909	C₂×D₄	—	43	8	no	—
910	C₂×D₄	—	43	4	no	—
911	C₂×D₄	—	86	8	no	—
912	C₂×D₄	—	86	8	no	—
913	C₂×D₄	—	172	2	no	—
914	C₂×D₄	—	172	16	no	—
915	C₂×D₄	—	172	4	no	—
916	C₂×D₄	—	172	4	no	—
917	C₂×D₄	C₂³×D₄₃	1	8	yes	—
918	C₂×D₄	C₂³×D₄₃	1	4	yes	—
919	C₂×D₄	C₂³×D₄₃	1	8	yes	—
920	C₂×D₄	C₂³×D₄₃	1	4	yes	—
921	C₂²×C₄	—	4	4	no	—
922	C₂²×C₄	—	4	4	no	—
923	C₂²×C₄	—	43	1	no	—
924	C₂²×C₄	—	43	8	no	—
925	C₂²×C₄	—	43	1	no	—
926	C₂²×C₄	—	43	2	no	—
927	C₂²×C₄	—	43	1	no	—
928	C₂²×C₄	—	43	2	no	—
929	C₂²×C₄	—	43	2	no	—
930	C₂²×C₄	—	43	2	no	—
931	C₂²×C₄	—	43	2	no	—
932	C₂²×C₄	—	43	8	no	—
933	C₂²×C₄	—	43	8	no	—
934	C₂²×C₄	—	43	4	no	—
935	C₂²×C₄	—	43	4	no	—
936	C₂²×C₄	—	43	4	no	—
937	C₂²×C₄	—	43	8	no	—
938	C₂²×C₄	—	43	8	no	—
939	C₂²×C₄	—	43	8	no	—
940	C₂²×C₄	—	86	4	no	—
941	C₂²×C₄	—	86	4	no	—
942	C₂²×C₄	—	86	8	no	—
943	C₂²×C₄	—	172	4	no	—
944	C₂²×C₄	—	172	4	no	—
945	C₂²×C₄	—	172	4	no	—
946	C₂²×C₄	—	172	2	no	—
947	C₂²×C₄	—	172	4	no	—
948	C₂²×C₄	—	172	4	no	—
949	C₂²×C₄	C₂³×D₄₃	1	2	yes	—
950	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
951	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
952	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
953	C₂²×C₄	C₂³×D₄₃	1	2	yes	—
954	C₂²×C₄	C₂³×D₄₃	1	2	yes	—
955	C₂²×C₄	C₂³×D₄₃	1	2	yes	—
956	C₂²×C₄	C₂³×D₄₃	1	8	yes	—
957	C₂²×C₄	C₂³×D₄₃	1	8	yes	—
958	C₄⋊C₄	—	43	8	no	—
959	C₄⋊C₄	—	43	8	no	—
960	C₄⋊C₄	—	43	8	no	—
961	C₄⋊C₄	—	43	4	no	—
962	C₄⋊C₄	—	43	8	no	—
963	C₄⋊C₄	—	43	4	no	—
964	C₄⋊C₄	—	43	8	no	—
965	C₄⋊C₄	—	43	4	no	—
966	C₄⋊C₄	—	43	8	no	—
967	C₄⋊C₄	—	43	8	no	—
968	C₄⋊C₄	—	43	8	no	—
969	C₄⋊C₄	—	43	8	no	—
970	C₄⋊C₄	—	43	8	no	—
971	C₄⋊C₄	—	43	8	no	—
972	C₄⋊C₄	—	43	8	no	—
973	C₄⋊C₄	—	43	4	no	—
974	C₄⋊C₄	—	43	8	no	—
975	C₄⋊C₄	—	43	8	no	—
976	C₄⋊C₄	C₂³×D₄₃	1	8	yes	—
977	C₄⋊C₄	C₂³×D₄₃	1	4	yes	—
978	C₄⋊C₄	C₂³×D₄₃	1	4	yes	—
979	C₄⋊C₄	C₂³×D₄₃	1	8	yes	—
980	C₄⋊C₄	C₂³×D₄₃	1	8	yes	—
981	C₄⋊C₄	C₂³×D₄₃	1	8	yes	—
982	C₂²⋊C₄	—	43	8	no	—
983	C₂²⋊C₄	—	43	8	no	—
984	C₂²⋊C₄	—	43	8	no	—
985	C₂²⋊C₄	—	43	8	no	—
986	C₂²⋊C₄	—	43	8	no	—
987	C₂²⋊C₄	—	43	8	no	—
988	C₂²⋊C₄	—	43	8	no	—
989	C₂²⋊C₄	—	43	8	no	—
990	C₂²⋊C₄	—	43	8	no	—
991	C₂²⋊C₄	—	43	8	no	—
992	C₂²⋊C₄	—	43	8	no	—
993	C₂²⋊C₄	—	43	8	no	—
994	C₂²⋊C₄	—	43	8	no	—
995	C₂²⋊C₄	—	43	8	no	—
996	C₂²⋊C₄	—	43	8	no	—
997	C₂²⋊C₄	—	43	8	no	—
998	C₂²⋊C₄	—	43	8	no	—
999	C₂²⋊C₄	—	43	8	no	—
1000	C₂²⋊C₄	—	43	8	no	—
1001	C₂²⋊C₄	C₂³×D₄₃	1	8	yes	—
1002	C₂²⋊C₄	C₂³×D₄₃	1	8	yes	—
1003	C₂²⋊C₄	C₂³×D₄₃	1	8	yes	—
1004	C₂²⋊C₄	C₂³×D₄₃	1	8	yes	—
1005	C₂²⋊C₄	C₂³×D₄₃	1	8	yes	—
1006	C₂²⋊C₄	C₂³×D₄₃	1	8	yes	—
1007	C₄²	—	43	4	no	—
1008	C₄²	—	43	4	no	—
1009	C₄²	—	43	4	no	—
1010	C₄²	—	43	8	no	—
1011	C₄²	—	43	8	no	—
1012	C₄²	—	43	8	no	—
1013	C₄²	—	43	8	no	—
1014	C₄²	—	43	8	no	—
1015	C₄²	C₂³×D₄₃	1	4	yes	—
1016	C₂³	—	2	4	no	—
1017	C₂³	—	2	4	no	—
1018	C₂³	—	2	4	no	—
1019	C₂³	—	2	4	no	—
1020	C₂³	—	2	4	no	—
1021	C₂³	—	2	4	no	—
1022	C₂³	—	43	4	no	—
1023	C₂³	—	43	2	no	—
1024	C₂³	—	43	4	no	—
1025	C₂³	—	86	16	no	—
1026	C₂³	—	86	2	no	—
1027	C₂³	—	86	2	no	—
1028	C₂³	—	86	4	no	—
1029	C₂³	—	86	4	no	—
1030	C₂³	—	86	4	no	—
1031	C₂³	—	344	16	no	—
1032	C₂³	—	172	8	no	—
1033	C₂³	—	172	8	no	—
1034	C₂³	C₂⁴×D₄₃	1	4	yes	—
1035	C₂³	C₂⁴×D₄₃	1	4	yes	—
1036	C₂³	C₂⁴×D₄₃	1	1	yes	characteristic
1037	Q₈	—	4	4	no	—
1038	Q₈	—	4	4	no	—
1039	Q₈	—	86	16	no	—
1040	Q₈	—	86	16	no	—
1041	Q₈	—	172	8	no	—
1042	Q₈	—	172	8	no	—
1043	Q₈	—	172	4	no	—
1044	Q₈	—	172	8	no	—
1045	D₄	—	4	4	no	—
1046	D₄	—	4	8	no	—
1047	D₄	—	4	8	no	—
1048	D₄	—	4	4	no	—
1049	D₄	—	86	16	no	—
1050	D₄	—	86	16	no	—
1051	D₄	—	172	4	no	—
1052	D₄	—	172	8	no	—
1053	D₄	—	172	8	no	—
1054	C₂×C₄	—	2	4	no	—
1055	C₂×C₄	—	2	4	no	—
1056	C₂×C₄	—	2	2	no	—
1057	C₂×C₄	—	2	2	no	—
1058	C₂×C₄	—	2	4	no	—
1059	C₂×C₄	—	2	4	no	—
1060	C₂×C₄	—	2	2	no	—
1061	C₂×C₄	—	4	8	no	—
1062	C₂×C₄	—	4	8	no	—
1063	C₂×C₄	—	43	4	no	—
1064	C₂×C₄	—	43	2	no	—
1065	C₂×C₄	—	43	2	no	—
1066	C₂×C₄	—	43	4	no	—
1067	C₂×C₄	—	43	2	no	—
1068	C₂×C₄	—	43	4	no	—
1069	C₂×C₄	—	43	4	no	—
1070	C₂×C₄	—	43	4	no	—
1071	C₂×C₄	—	43	4	no	—
1072	C₂×C₄	—	86	8	no	—
1073	C₂×C₄	—	86	8	no	—
1074	C₂×C₄	—	86	16	no	—
1075	C₂×C₄	—	86	4	no	—
1076	C₂×C₄	—	86	4	no	—
1077	C₂×C₄	—	86	4	no	—
1078	C₂×C₄	—	86	2	no	—
1079	C₂×C₄	—	86	4	no	—
1080	C₂×C₄	—	86	4	no	—
1081	C₂×C₄	—	86	2	no	—
1082	C₂×C₄	—	172	8	no	—
1083	C₂×C₄	—	172	8	no	—
1084	C₂×C₄	—	172	8	no	—
1085	C₂×C₄	—	172	4	no	—
1086	C₂×C₄	—	172	8	no	—
1087	C₂×C₄	—	172	8	no	—
1088	C₂×C₄	C₂⁴×D₄₃	1	4	yes	—
1089	C₂×C₄	C₂⁴×D₄₃	1	2	yes	—
1090	C₂×C₄	C₂⁴×D₄₃	1	2	yes	—
1091	C₂×C₄	C₂⁴×D₄₃	1	2	yes	—
1092	C₂×C₄	C₂⁴×D₄₃	1	4	yes	—
1093	C₂×C₄	C₂⁴×D₄₃	1	4	yes	—
1094	C₂×C₄	C₂⁴×D₄₃	1	4	yes	—
1095	C₂²	—	2	4	no	—
1096	C₂²	—	2	4	no	—
1097	C₂²	—	2	4	no	—
1098	C₂²	—	2	4	no	—
1099	C₂²	—	2	4	no	—
1100	C₂²	—	2	4	no	—
1101	C₂²	—	4	8	no	—
1102	C₂²	—	4	8	no	—
1103	C₂²	—	43	4	no	—
1104	C₂²	—	86	2	no	—
1105	C₂²	—	86	2	no	—
1106	C₂²	—	86	8	no	—
1107	C₂²	—	86	4	no	—
1108	C₂²	—	86	4	no	—
1109	C₂²	—	86	4	no	—
1110	C₂²	—	344	16	no	—
1111	C₂²	—	172	8	no	—
1112	C₂²	H(5,𝔽₂)×D₄₃	1	2	yes	—
1113	C₂²	2₋¹⁺⁴×D₄₃	1	2	yes	—
1114	C₂²	#14583734	1	2	yes	—
1115	C₂²	C₂⁵×D₄₃	1	1	yes	characteristic
1116	C₄	—	2	4	no	—
1117	C₄	—	2	4	no	—
1118	C₄	—	2	2	no	—
1119	C₄	—	2	2	no	—
1120	C₄	—	2	4	no	—
1121	C₄	—	2	4	no	—
1122	C₄	—	2	2	no	—
1123	C₄	—	43	4	no	—
1124	C₄	—	86	4	no	—
1125	C₄	—	86	4	no	—
1126	C₄	—	86	4	no	—
1127	C₄	—	86	2	no	—
1128	C₄	—	86	4	no	—
1129	C₄	—	86	4	no	—
1130	C₄	—	86	2	no	—
1131	C₂	—	4	4	no	—
1132	C₂	—	4	4	no	—
1133	C₂	—	86	4	no	—
1134	C₂	—	172	4	no	—
1135	C₂	#19149157	1	4	yes	direct product factor
1136	C₂	C₂×H(5,𝔽₂)×D₄₃	1	1	yes	characteristic
1137	C₂	C₂×2₋¹⁺⁴×D₄₃	1	1	yes	characteristic
1138	C₂	C₂×#14583734	1	1	yes	characteristic

	subgroup	G/H
center	C₂³	C₂⁴×D₄₃
commutator, cosocle	C₂²×C₄₃	C₂⁶
Frattini	C₂²	C₂⁵×D₄₃
Fitting	C₂×C₄₃×#562	C₂
socle	C₂³×C₄₃	C₂⁵
hypercenter	C₂×#562	D₄₃
hypocenter	C₄₃	C₂×#3561
LCS	G ▷ C₂²×C₄₃ ▷ C₄₃
UCS	C₁ ◁ C₂³ ◁ C₂×#562

Complements

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

N	H ≅ G/N	type
1. #19149157	C₂	direct (N × H)
2. C₂×#14583653	C₂	semidirect
3. C₂×#14583649	C₂	semidirect
4. C₂×#14583643	C₂	semidirect
5. C₂×#14583620	C₂	semidirect
6. C₂×#14583577	C₂	semidirect
7. C₂×#14583572	C₂	semidirect
8. C₂×#14583562	C₂	semidirect
9. C₂×#14583555	C₂	semidirect
10. C₂×#14583538	C₂	semidirect
11. C₂×#14583524	C₂	semidirect
12. C₂×#14583519	C₂	semidirect
13. C₂×#14583517	C₂	semidirect
14. C₂×#14583516	C₂	semidirect
15. C₂×#14583481	C₂	semidirect
16. C₂×#14583471	C₂	semidirect
17. C₂×#14583455	C₂	semidirect
18. C₂×#14583428	C₂	semidirect
19. C₂×#124×D₄₃	C₂	semidirect
20. C₂×C₄₃×#562	C₂	semidirect
22. C₂³×Dic₈₆	C₂²	semidirect
25. #14583653	C₂²	semidirect
26. #14583649	C₂²	semidirect
27. #14583643	C₂²	semidirect
28. #14583620	C₂²	semidirect
29. #14583577	C₂²	semidirect
30. #14583572	C₂²	semidirect
31. #14583562	C₂²	semidirect
32. #14583555	C₂²	semidirect
33. #14583538	C₂²	semidirect
34. #14583524	C₂²	semidirect
35. #14583519	C₂²	semidirect
36. #14583517	C₂²	semidirect
37. #14583516	C₂²	semidirect
38. #14583481	C₂²	semidirect
39. #14583471	C₂²	semidirect
40. #14583455	C₂²	semidirect
41. C₂×#13063324	C₂²	semidirect
42. C₂×#13063324	C₂²	semidirect
43. C₂×#13063324	C₂²	semidirect
44. C₂×#13063324	C₂²	semidirect
45. C₂×#13063323	C₂²	semidirect
46. #14583428	C₂²	semidirect
47. C₂×#13063320	C₂²	semidirect
48. C₂×#13063320	C₂²	semidirect
49. C₂×#13063320	C₂²	semidirect
50. C₂×#13063318	C₂²	semidirect
51. C₂×#13063318	C₂²	semidirect
52. C₂×#13063318	C₂²	semidirect
53. C₂×#13063318	C₂²	semidirect
54. C₂×#13063317	C₂²	semidirect
55. C₂×#13063317	C₂²	semidirect
59. C₂×#13063312	C₂²	semidirect
60. C₂×#13063312	C₂²	semidirect
64. C₂×#13063311	C₂²	semidirect
65. C₂×#13063311	C₂²	semidirect
66. #124×D₄₃	C₂²	semidirect
68. C₂×#13063309	C₂²	semidirect
69. C₂×#13063308	C₂²	semidirect
71. C₂×#13063307	C₂²	semidirect
73. C₂×#13063306	C₂²	semidirect
75. C₂×#13063305	C₂²	semidirect
76. C₂×#13063304	C₂²	semidirect
80. C₂×#13063303	C₂²	semidirect
81. C₂×#13063303	C₂²	semidirect
82. C₂×#13063303	C₂²	semidirect
83. C₂×#13063302	C₂²	semidirect
84. C₂×#13063302	C₂²	semidirect
85. C₂×#13063302	C₂²	semidirect
86. C₂×#13063302	C₂²	semidirect
87. C₂×#13063302	C₂²	semidirect
89. C₂×#13063301	C₂²	semidirect
92. C₂×#13063297	C₂²	semidirect
96. C₂×Q₈×Dic₄₃	C₂²	semidirect
97. C₂×#13063290	C₂²	semidirect
98. C₂×#13063290	C₂²	semidirect
99. C₂×#13063290	C₂²	semidirect
100. C₂×D₄×Dic₄₃	C₂²	semidirect
101. C₂×D₄×Dic₄₃	C₂²	semidirect
104. C₂×C₄×C₂²⋊D₄₃	C₂²	semidirect
107. C₂×#13063284	C₂²	semidirect
110. C₂×#13063283	C₂²	semidirect
111. C₂×#13063281	C₂²	semidirect
117. C₄₃×#562	C₂²	semidirect
118. C₂×#125×C₄₃	C₂²	semidirect
120. C₂×#124×C₄₃	C₂²	semidirect
121. C₂×#123×C₄₃	C₂²	semidirect
122. C₂×#123×C₄₃	C₂²	semidirect
123. C₂×C₂²⋊Q₈×C₄₃	C₂²	semidirect
124. C₂×C₂²⋊Q₈×C₄₃	C₂²	semidirect
126. C₂×#121×C₄₃	C₂²	semidirect
137. C₂²×Dic₈₆	C₂³	semidirect
156. #13063324	C₂³	semidirect
157. #13063324	C₂³	semidirect
158. #13063324	C₂³	semidirect
159. #13063324	C₂³	semidirect
160. #13063323	C₂³	semidirect
161. #13063320	C₂³	semidirect
162. #13063320	C₂³	semidirect
163. #13063320	C₂³	semidirect
164. #13063318	C₂³	semidirect
165. #13063318	C₂³	semidirect
166. #13063318	C₂³	semidirect
167. #13063318	C₂³	semidirect
168. #13063317	C₂³	semidirect
169. #13063317	C₂³	semidirect
173. #13063312	C₂³	semidirect
174. #13063312	C₂³	semidirect
178. #13063311	C₂³	semidirect
179. #13063311	C₂³	semidirect
181. #13063309	C₂³	semidirect
182. #13063308	C₂³	semidirect
184. #13063307	C₂³	semidirect
186. #13063306	C₂³	semidirect
188. #13063305	C₂³	semidirect
189. #13063304	C₂³	semidirect
193. #13063303	C₂³	semidirect
194. #13063303	C₂³	semidirect
195. #13063303	C₂³	semidirect
196. #13063302	C₂³	semidirect
197. #13063302	C₂³	semidirect
198. #13063302	C₂³	semidirect
199. #13063302	C₂³	semidirect
200. #13063302	C₂³	semidirect
202. #13063301	C₂³	semidirect
205. #13063297	C₂³	semidirect
209. Q₈×Dic₄₃	C₂³	semidirect
210. #13063290	C₂³	semidirect
211. #13063290	C₂³	semidirect
212. #13063290	C₂³	semidirect
213. D₄×Dic₄₃	C₂³	semidirect
214. D₄×Dic₄₃	C₂³	semidirect
217. C₄×C₂²⋊D₄₃	C₂³	semidirect
220. #13063284	C₂³	semidirect
223. #13063283	C₂³	semidirect
224. #13063281	C₂³	semidirect
283. #125×C₄₃	C₂³	semidirect
285. #124×C₄₃	C₂³	semidirect
286. #123×C₄₃	C₂³	semidirect
287. #123×C₄₃	C₂³	semidirect
288. C₂²⋊Q₈×C₄₃	C₂³	semidirect
289. C₂²⋊Q₈×C₄₃	C₂³	semidirect
291. #121×C₄₃	C₂³	semidirect
566. C₂×#562	D₄₃	semidirect
584. C₂×C₄₃	#3561	semidirect
597. #562	C₂×D₄₃	semidirect
626. C₂×#125	C₂×D₄₃	semidirect
639. C₂×#124	C₂×D₄₃	semidirect
647. C₂×#123	C₂×D₄₃	semidirect
648. C₂×#123	C₂×D₄₃	semidirect
665. C₂×C₂²⋊Q₈	C₂×D₄₃	semidirect
666. C₂×C₂²⋊Q₈	C₂×D₄₃	semidirect
672. C₂×#121	C₂×D₄₃	semidirect
696. C₄₃	C₂×#3561	semidirect
748. #125	C₂²×D₄₃	semidirect
760. #124	C₂²×D₄₃	semidirect
768. #123	C₂²×D₄₃	semidirect
769. #123	C₂²×D₄₃	semidirect
786. C₂²⋊Q₈	C₂²×D₄₃	semidirect
787. C₂²⋊Q₈	C₂²×D₄₃	semidirect
793. #121	C₂²×D₄₃	semidirect
1135. C₂	#19149157	direct (N × H)

Maximal subgroups

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

subgroup	index
#19149157	2
C₂×#14583653	2
C₂×#14583649	2
C₂×#14583643	2
C₂×#14583620	2
C₂×#14583577	2
C₂×#14583572	2
C₂×#14583562	2
C₂×#14583555	2
C₂×#14583538	2
C₂×#14583524	2
C₂×#14583519	2
C₂×#14583517	2
C₂×#14583516	2
C₂×#14583481	2
C₂×#14583471	2
C₂×#14583455	2
C₂×#14583428	2
C₂×#124×D₄₃	2
C₂×C₄₃×#562	2
C₂×#3561	43

Subgroups — C2×#19149157 #26003938

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₂×#19149157 #26003938