Subgroups — C₂×#19148944 #26004348

Order 11008.

7430 conjugacy classes of subgroups.

The subgroup lattice has 1196 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#19148944	C₂	1	32	yes	maximal, direct product factor
2	C₂×#14583652	C₂	1	1	yes	maximal, characteristic, complemented
3	C₂×#14583644	C₂	1	2	yes	maximal, complemented
4	C₂×#14583642	C₂	1	1	yes	maximal, characteristic, complemented
5	C₂×#14583613	C₂	1	2	yes	maximal, complemented
6	C₂×#14583580	C₂	1	1	yes	maximal, characteristic, complemented
7	C₂×#14583580	C₂	1	2	yes	maximal, complemented
8	C₂×#14583577	C₂	1	1	yes	maximal, characteristic, complemented
9	C₂×#14583575	C₂	1	2	yes	maximal, complemented
10	C₂×#14583543	C₂	1	2	yes	maximal, complemented
11	C₂×#14583536	C₂	1	2	yes	maximal, complemented
12	C₂×#14583517	C₂	1	2	yes	maximal, complemented
13	C₂×#14583516	C₂	1	2	yes	maximal, complemented
14	C₂×#14583484	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×#14583458	C₂	1	1	yes	maximal, characteristic, complemented
18	C₂×#14583426	C₂	1	2	yes	maximal, complemented
19	C₂²×#13063312	C₂	1	1	yes	maximal, characteristic, complemented
20	C₂×C₄₃×#534	C₂	1	1	yes	maximal, characteristic, complemented
21	C₂²×#10621900	C₂²	1	2	yes	—
22	C₂³×Dic₈₆	C₂²	1	1	yes	characteristic, complemented
23	C₂³×C₂²⋊D₄₃	C₂²	1	1	yes	characteristic, complemented
24	#14583652	C₂²	1	16	yes	complemented
25	#14583644	C₂²	1	32	yes	complemented
26	#14583642	C₂²	1	16	yes	complemented
27	#14583613	C₂²	1	32	yes	complemented
28	#14583580	C₂²	1	16	yes	complemented
29	#14583580	C₂²	1	32	yes	complemented
30	#14583577	C₂²	1	16	yes	complemented
31	#14583575	C₂²	1	32	yes	complemented
32	#14583543	C₂²	1	32	yes	complemented
33	#14583536	C₂²	1	32	yes	complemented
34	#14583517	C₂²	1	32	yes	complemented
35	#14583516	C₂²	1	32	yes	complemented
36	#14583484	C₂²	1	32	yes	complemented
37	#14583481	C₂²	1	32	yes	complemented
38	#14583471	C₂²	1	32	yes	complemented
39	#14583458	C₂²	1	16	yes	complemented
40	C₂×#13063324	C₂²	1	2	yes	complemented
41	C₂×#13063324	C₂²	1	2	yes	complemented
42	#14583426	C₂²	1	32	yes	complemented
43	C₂×#13063320	C₂²	1	2	yes	complemented
44	C₂×#13063318	C₂²	1	2	yes	complemented
45	C₂×#13063318	C₂²	1	2	yes	complemented
46	C₂×#13063318	C₂²	1	2	yes	complemented
47	C₂×#13063318	C₂²	1	2	yes	complemented
48	C₂×#13063318	C₂²	1	2	yes	complemented
49	C₂×#13063315	C₂²	1	2	yes	complemented
50	C₂×#13063312	C₂²	1	1	yes	characteristic
51	C₂×#13063312	C₂²	1	1	yes	characteristic
52	C₂×#13063312	C₂²	1	2	yes	complemented
53	C₂×#13063312	C₂²	1	2	yes	complemented
54	C₂×#13063312	C₂²	1	1	yes	characteristic, complemented
55	C₂×#13063312	C₂²	1	2	yes	complemented
56	C₂×#13063312	C₂²	1	2	yes	complemented
57	C₂×#13063312	C₂²	1	1	yes	characteristic, complemented
58	C₂×#13063312	C₂²	1	16	yes	complemented
59	C₂×#13063311	C₂²	1	2	yes	complemented
60	C₂×#13063311	C₂²	1	2	yes	complemented
61	C₂×#13063311	C₂²	1	2	yes	complemented
62	C₂×#13063311	C₂²	1	2	yes	complemented
63	C₂×#13063311	C₂²	1	2	yes	complemented
64	C₂×#13063309	C₂²	1	2	yes	complemented
65	C₂×#13063308	C₂²	1	2	yes	complemented
66	C₂×#13063308	C₂²	1	2	yes	complemented
67	C₂×#13063307	C₂²	1	2	yes	complemented
68	C₂×#13063307	C₂²	1	2	yes	complemented
69	C₂×#13063306	C₂²	1	1	yes	characteristic
70	C₂×#13063306	C₂²	1	2	yes	complemented
71	C₂×#13063306	C₂²	1	2	yes	complemented
72	C₂×#13063306	C₂²	1	2	yes	complemented
73	C₂×#13063306	C₂²	1	2	yes	complemented
74	C₂×#13063306	C₂²	1	1	yes	characteristic, complemented
75	C₂×#13063304	C₂²	1	2	yes	complemented
76	C₂×#13063304	C₂²	1	2	yes	complemented
77	C₂×#13063303	C₂²	1	2	yes	complemented
78	C₂×#13063303	C₂²	1	2	yes	complemented
79	C₂×#13063302	C₂²	1	2	yes	complemented
80	C₂×#13063302	C₂²	1	2	yes	complemented
81	C₂×#13063302	C₂²	1	2	yes	complemented
82	C₂×#13063302	C₂²	1	2	yes	complemented
83	C₂×#13063302	C₂²	1	2	yes	complemented
84	C₂×#13063297	C₂²	1	2	yes	—
85	C₂×#13063297	C₂²	1	2	yes	—
86	C₂×#13063297	C₂²	1	2	yes	complemented
87	C₂×#13063297	C₂²	1	2	yes	complemented
88	C₂×#13063297	C₂²	1	2	yes	complemented
89	C₂×#13063296	C₂²	1	2	yes	complemented
90	C₂×#13063296	C₂²	1	2	yes	complemented
91	C₂×#13063294	C₂²	1	2	yes	—
92	C₂×#13063294	C₂²	1	2	yes	complemented
93	C₂×#13063293	C₂²	1	1	yes	characteristic
94	C₂×#13063293	C₂²	1	2	yes	complemented
95	C₂×#13063293	C₂²	1	1	yes	characteristic, complemented
96	C₂×#13063290	C₂²	1	2	yes	complemented
97	C₂×D₄×Dic₄₃	C₂²	1	2	yes	complemented
98	C₂×D₄×Dic₄₃	C₂²	1	2	yes	complemented
99	C₂×D₄×Dic₄₃	C₂²	1	2	yes	complemented
100	C₂×C₄×C₂²⋊D₄₃	C₂²	1	2	yes	complemented
101	C₂×C₄×C₂²⋊D₄₃	C₂²	1	2	yes	complemented
102	C₂×(C₂²⋊D₄₃)⋊C₄	C₂²	1	2	yes	complemented
103	C₂×(C₂²⋊D₄₃)⋊C₄	C₂²	1	2	yes	complemented
104	C₂×#13063284	C₂²	1	2	yes	complemented
105	C₂×#13063283	C₂²	1	2	yes	complemented
106	C₂×#13063281	C₂²	1	2	yes	complemented
107	C₂×#13063281	C₂²	1	2	yes	complemented
108	C₂×#13063281	C₂²	1	2	yes	complemented
109	C₂²×C₂²⋊Dic₄₃	C₂²	1	2	yes	complemented
110	C₂²×C₂²⋊Dic₄₃	C₂²	1	2	yes	complemented
111	C₂²×C₂²⋊Dic₄₃	C₂²	1	2	yes	complemented
112	C₂²×C₂²⋊Dic₄₃	C₂²	1	1	yes	characteristic, complemented
113	C₂×C₂²⋊C₄×D₄₃	C₂²	1	2	yes	complemented
114	C₂²×C₄×Dic₄₃	C₂²	1	1	yes	characteristic, complemented
115	C₂³×D₄×C₄₃	C₂²	1	1	yes	characteristic
116	C₂³×D₄×C₄₃	C₂²	1	1	yes	characteristic, complemented
117	C₄₃×#534	C₂²	1	16	yes	complemented
118	C₂×#123×C₄₃	C₂²	1	1	yes	characteristic
119	C₂×#123×C₄₃	C₂²	1	2	yes	complemented
120	C₂×#123×C₄₃	C₂²	1	1	yes	characteristic, complemented
121	C₂×#121×C₄₃	C₂²	1	2	yes	—
122	C₂×#121×C₄₃	C₂²	1	2	yes	complemented
123	C₂×#120×C₄₃	C₂²	1	2	yes	—
124	C₂×#120×C₄₃	C₂²	1	1	yes	characteristic
125	C₂×#120×C₄₃	C₂²	1	1	yes	characteristic, complemented
126	C₂²×C₂²⋊C₄×C₄₃	C₂²	1	1	yes	characteristic, complemented
127	C₂⁴×D₄₃	C₂³	1	1	yes	characteristic
128	C₂×#10621900	—	4	8	no	—
129	C₂×#10621900	C₂³	1	16	yes	—
130	C₂²×Dic₈₆	—	4	4	no	—
131	C₂²×Dic₈₆	C₂³	1	2	yes	—
132	C₂²×Dic₈₆	C₂³	1	1	yes	characteristic
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	8	yes	complemented
137	C₂²×C₂²⋊D₄₃	—	4	4	no	—
138	C₂²×C₂²⋊D₄₃	C₂³	1	2	yes	—
139	C₂²×C₂²⋊D₄₃	C₂³	1	2	yes	—
140	C₂²×C₂²⋊D₄₃	C₂³	1	2	yes	—
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	8	yes	complemented
145	C₂³×Dic₄₃	C₂³	1	2	yes	—
146	C₂³×Dic₄₃	C₂³	1	2	yes	—
147	C₂³×Dic₄₃	C₂³	1	2	yes	—
148	C₂³×Dic₄₃	C₂³	1	2	yes	—
149	C₂³×Dic₄₃	C₂³	1	2	yes	—
150	C₂³×Dic₄₃	C₂³	1	1	yes	characteristic
151	C₂²×C₄×D₄₃	C₂³	1	2	yes	—
152	C₂²×C₄×D₄₃	C₂³	1	2	yes	—
153	#13063324	C₂³	1	16	yes	complemented
154	#13063324	C₂³	1	16	yes	complemented
155	#13063320	C₂³	1	16	yes	complemented
156	#13063318	C₂³	1	16	yes	complemented
157	#13063318	C₂³	1	16	yes	complemented
158	#13063318	C₂³	1	16	yes	complemented
159	#13063318	C₂³	1	16	yes	complemented
160	#13063318	C₂³	1	16	yes	complemented
161	#13063315	C₂³	1	16	yes	complemented
162	#13063312	C₂³	1	8	yes	—
163	#13063312	C₂³	1	8	yes	—
164	#13063312	C₂³	1	16	yes	complemented
165	#13063312	C₂³	1	8	yes	complemented
166	#13063312	C₂³	1	16	yes	complemented
167	#13063312	C₂³	1	8	yes	complemented
168	#13063312	C₂³	1	16	yes	complemented
169	#13063312	C₂³	1	16	yes	complemented
170	#13063311	C₂³	1	16	yes	complemented
171	#13063311	C₂³	1	16	yes	complemented
172	#13063311	C₂³	1	16	yes	complemented
173	#13063311	C₂³	1	16	yes	complemented
174	#13063311	C₂³	1	16	yes	complemented
175	#13063309	C₂³	1	16	yes	complemented
176	#13063308	C₂³	1	16	yes	complemented
177	#13063308	C₂³	1	16	yes	complemented
178	#13063307	C₂³	1	16	yes	complemented
179	#13063307	C₂³	1	16	yes	complemented
180	#13063306	C₂³	1	8	yes	—
181	#13063306	C₂³	1	16	yes	complemented
182	#13063306	C₂³	1	16	yes	complemented
183	#13063306	C₂³	1	16	yes	complemented
184	#13063306	C₂³	1	16	yes	complemented
185	#13063306	C₂³	1	8	yes	complemented
186	#13063304	C₂³	1	16	yes	complemented
187	#13063304	C₂³	1	16	yes	complemented
188	#13063303	C₂³	1	16	yes	complemented
189	#13063303	C₂³	1	16	yes	complemented
190	#13063302	C₂³	1	16	yes	complemented
191	#13063302	C₂³	1	16	yes	complemented
192	#13063302	C₂³	1	16	yes	complemented
193	#13063302	C₂³	1	16	yes	complemented
194	#13063302	C₂³	1	16	yes	complemented
195	#13063297	C₂³	1	16	yes	—
196	#13063297	C₂³	1	16	yes	—
197	#13063297	C₂³	1	16	yes	complemented
198	#13063297	C₂³	1	16	yes	complemented
199	#13063297	C₂³	1	16	yes	complemented
200	#13063296	C₂³	1	16	yes	complemented
201	#13063296	C₂³	1	16	yes	complemented
202	#13063294	C₂³	1	16	yes	—
203	#13063294	C₂³	1	16	yes	complemented
204	#13063293	C₂³	1	8	yes	—
205	#13063293	C₂³	1	16	yes	complemented
206	#13063293	C₂³	1	8	yes	complemented
207	#13063290	C₂³	1	16	yes	complemented
208	D₄×Dic₄₃	C₂³	1	16	yes	complemented
209	D₄×Dic₄₃	C₂³	1	16	yes	complemented
210	D₄×Dic₄₃	C₂³	1	16	yes	complemented
211	C₄×C₂²⋊D₄₃	C₂³	1	16	yes	complemented
212	C₄×C₂²⋊D₄₃	C₂³	1	16	yes	complemented
213	(C₂²⋊D₄₃)⋊C₄	C₂³	1	16	yes	complemented
214	(C₂²⋊D₄₃)⋊C₄	C₂³	1	16	yes	complemented
215	#13063284	C₂³	1	16	yes	complemented
216	#13063283	C₂³	1	16	yes	complemented
217	#13063281	C₂³	1	16	yes	complemented
218	#13063281	C₂³	1	16	yes	complemented
219	#13063281	C₂³	1	16	yes	complemented
220	C₂×C₄⋊Dic₄₃	C₂³	1	2	yes	—
221	C₂×C₄⋊Dic₄₃	C₂³	1	2	yes	—
222	C₂×C₄⋊Dic₄₃	C₂³	1	2	yes	—
223	C₂×C₄⋊Dic₄₃	C₂³	1	2	yes	—
224	C₂×Dic₄₃⋊C₄	C₂³	1	2	yes	—
225	C₂×Dic₄₃⋊C₄	C₂³	1	2	yes	—
226	C₂×Dic₄₃⋊C₄	C₂³	1	2	yes	—
227	C₂×Dic₄₃⋊C₄	C₂³	1	2	yes	—
228	C₂×Dic₄₃⋊C₄	C₂³	1	2	yes	—
229	C₂×Dic₄₃⋊C₄	C₂³	1	2	yes	—
230	C₂×Dic₄₃⋊C₄	C₂³	1	2	yes	—
231	C₂×Dic₄₃⋊C₄	C₂³	1	2	yes	—
232	C₂×Dic₄₃⋊C₄	C₂³	1	2	yes	—
233	C₂×Dic₄₃⋊C₄	C₂³	1	2	yes	—
234	C₂×C₂²⋊Dic₄₃	C₂³	1	2	yes	—
235	C₂×C₂²⋊Dic₄₃	C₂³	1	2	yes	—
236	C₂×C₂²⋊Dic₄₃	C₂³	1	2	yes	—
237	C₂×C₂²⋊Dic₄₃	C₂³	1	2	yes	—
238	C₂×C₂²⋊Dic₄₃	C₂³	1	2	yes	—
239	C₂×C₂²⋊Dic₄₃	C₂³	1	2	yes	—
240	C₂×C₂²⋊Dic₄₃	C₂³	1	1	yes	characteristic
241	C₂×C₂²⋊Dic₄₃	C₂³	1	2	yes	—
242	C₂×C₂²⋊Dic₄₃	C₂³	1	1	yes	characteristic
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×C₂²⋊Dic₄₃	C₂³	1	16	yes	complemented
252	C₂×C₂²⋊Dic₄₃	C₂³	1	8	yes	complemented
253	C₂×C₂²⋊Dic₄₃	C₂³	1	16	yes	complemented
254	C₂×C₂²⋊Dic₄₃	C₂³	1	16	yes	complemented
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	C₂²⋊C₄×D₄₃	C₂³	1	16	yes	complemented
262	C₂×C₄×Dic₄₃	C₂³	1	1	yes	characteristic
263	C₂×C₄×Dic₄₃	C₂³	1	2	yes	—
264	C₂×C₄×Dic₄₃	C₂³	1	1	yes	characteristic
265	C₂×C₄×Dic₄₃	C₂³	1	2	yes	—
266	C₂×C₄×Dic₄₃	C₂³	1	2	yes	—
267	C₂×C₄×Dic₄₃	C₂³	1	2	yes	—
268	C₂×C₄×Dic₄₃	C₂³	1	2	yes	—
269	C₂×C₄×Dic₄₃	C₂³	1	8	yes	complemented
270	C₂⁵×C₄₃	C₂³	1	1	yes	characteristic
271	C₂⁵×C₄₃	C₂³	1	1	yes	characteristic
272	C₂⁵×C₄₃	C₂³	1	1	yes	characteristic
273	C₂²×D₄×C₄₃	—	4	4	no	—
274	C₂²×D₄×C₄₃	—	4	4	no	—
275	C₂²×D₄×C₄₃	C₂³	1	2	yes	—
276	C₂²×D₄×C₄₃	C₂³	1	2	yes	—
277	C₂²×D₄×C₄₃	C₂³	1	2	yes	—
278	C₂²×D₄×C₄₃	C₂³	1	1	yes	characteristic
279	C₂²×D₄×C₄₃	C₂³	1	1	yes	characteristic
280	C₂²×D₄×C₄₃	C₂³	1	1	yes	characteristic
281	C₂²×D₄×C₄₃	C₂³	1	2	yes	—
282	C₂²×D₄×C₄₃	C₂³	1	1	yes	characteristic
283	C₂²×D₄×C₄₃	C₂³	1	8	yes	—
284	C₂²×D₄×C₄₃	C₂³	1	8	yes	complemented
285	C₂³×C₄×C₄₃	C₂³	1	1	yes	characteristic
286	C₂³×C₄×C₄₃	C₂³	1	2	yes	—
287	C₂³×C₄×C₄₃	C₂³	1	1	yes	characteristic
288	#123×C₄₃	C₂³	1	8	yes	—
289	#123×C₄₃	C₂³	1	16	yes	complemented
290	#123×C₄₃	C₂³	1	8	yes	complemented
291	#121×C₄₃	C₂³	1	16	yes	—
292	#121×C₄₃	C₂³	1	16	yes	complemented
293	#120×C₄₃	C₂³	1	8	yes	—
294	#120×C₄₃	C₂³	1	16	yes	—
295	#120×C₄₃	C₂³	1	8	yes	complemented
296	C₂×C₄⋊C₄×C₄₃	C₂³	1	2	yes	—
297	C₂×C₄⋊C₄×C₄₃	C₂³	1	2	yes	—
298	C₂×C₂²⋊C₄×C₄₃	C₂³	1	2	yes	—
299	C₂×C₂²⋊C₄×C₄₃	C₂³	1	1	yes	characteristic
300	C₂×C₂²⋊C₄×C₄₃	C₂³	1	1	yes	characteristic
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×C₂²⋊C₄×C₄₃	C₂³	1	2	yes	—
305	C₂×C₂²⋊C₄×C₄₃	C₂³	1	8	yes	complemented
306	C₂⁴×C₄₃	—	2	4	no	—
307	C₂⁴×C₄₃	—	2	4	no	—
308	C₂⁴×C₄₃	—	4	2	no	—
309	C₂⁴×C₄₃	—	4	4	no	—
310	C₂⁴×C₄₃	—	4	4	no	—
311	C₂⁴×C₄₃	—	4	4	no	—
312	C₂⁴×C₄₃	C₂⁴	1	1	yes	characteristic
313	C₂⁴×C₄₃	C₂⁴	1	1	yes	characteristic
314	C₂⁴×C₄₃	C₂⁴	1	2	yes	—
315	C₂⁴×C₄₃	C₂⁴	1	1	yes	characteristic
316	C₂⁴×C₄₃	C₂⁴	1	1	yes	characteristic
317	C₂⁴×C₄₃	C₂⁴	1	1	yes	characteristic
318	C₂⁴×C₄₃	C₂⁴	1	4	yes	—
319	C₂⁴×C₄₃	C₂⁴	1	4	yes	—
320	C₂⁴×C₄₃	C₂⁴	1	4	yes	—
321	C₂³×D₄₃	—	4	2	no	—
322	C₂³×D₄₃	—	4	4	no	—
323	C₂³×D₄₃	C₂⁴	1	2	yes	—
324	C₂³×D₄₃	C₂⁴	1	4	yes	—
325	C₂×D₄×C₄₃	—	2	8	no	—
326	C₂×D₄×C₄₃	—	4	4	no	—
327	C₂×D₄×C₄₃	—	4	2	no	—
328	C₂×D₄×C₄₃	—	4	2	no	—
329	C₂×D₄×C₄₃	—	4	2	no	—
330	C₂×D₄×C₄₃	—	4	2	no	—
331	C₂×D₄×C₄₃	—	4	16	no	—
332	C₂×D₄×C₄₃	—	4	4	no	—
333	C₂×D₄×C₄₃	—	4	4	no	—
334	C₂×D₄×C₄₃	—	4	16	no	—
335	C₂×D₄×C₄₃	C₂⁴	1	8	yes	—
336	C₂×D₄×C₄₃	C₂⁴	1	8	yes	—
337	C₂×D₄×C₄₃	C₂⁴	1	8	yes	—
338	C₂×D₄×C₄₃	C₂⁴	1	4	yes	—
339	C₂×D₄×C₄₃	C₂⁴	1	4	yes	—
340	C₂×D₄×C₄₃	C₂⁴	1	4	yes	—
341	C₂×D₄×C₄₃	C₂⁴	1	8	yes	—
342	C₂×D₄×C₄₃	C₂⁴	1	4	yes	—
343	C₂²×C₄×C₄₃	—	2	4	no	—
344	C₂²×C₄×C₄₃	—	4	4	no	—
345	C₂²×C₄×C₄₃	—	4	2	no	—
346	C₂²×C₄×C₄₃	C₂⁴	1	2	yes	—
347	C₂²×C₄×C₄₃	C₂⁴	1	2	yes	—
348	C₂²×C₄×C₄₃	C₂⁴	1	1	yes	characteristic
349	C₂²×C₄×C₄₃	C₂⁴	1	1	yes	characteristic
350	C₂²×C₄×C₄₃	C₂⁴	1	2	yes	—
351	C₂²×C₄×C₄₃	C₂⁴	1	4	yes	—
352	C₂²×C₄×C₄₃	C₂⁴	1	8	yes	—
353	C₂²×C₄×C₄₃	C₂⁴	1	4	yes	—
354	C₂×C₂²⋊D₄₃	—	2	8	no	—
355	C₂×C₂²⋊D₄₃	—	4	4	no	—
356	C₂×C₂²⋊D₄₃	—	4	4	no	—
357	C₂×C₂²⋊D₄₃	—	4	4	no	—
358	C₂×C₂²⋊D₄₃	—	4	4	no	—
359	C₂×C₂²⋊D₄₃	—	4	4	no	—
360	C₂×C₂²⋊D₄₃	—	4	16	no	—
361	C₂×C₂²⋊D₄₃	C₂⁴	1	8	yes	—
362	C₂×C₂²⋊D₄₃	C₂⁴	1	8	yes	—
363	C₂×C₂²⋊D₄₃	C₂⁴	1	8	yes	—
364	C₂×C₂²⋊D₄₃	C₂⁴	1	8	yes	—
365	C₂×C₂²⋊D₄₃	C₂⁴	1	8	yes	—
366	C₂×C₂²⋊D₄₃	C₂⁴	1	8	yes	—
367	C₂²×Dic₄₃	—	2	8	no	—
368	C₂²×Dic₄₃	—	4	4	no	—
369	C₂²×Dic₄₃	—	4	4	no	—
370	C₂²×Dic₄₃	—	4	4	no	—
371	C₂²×Dic₄₃	—	4	2	no	—
372	C₂²×Dic₄₃	—	4	4	no	—
373	C₂²×Dic₄₃	C₂⁴	1	2	yes	—
374	C₂²×Dic₄₃	C₂⁴	1	2	yes	—
375	C₂²×Dic₄₃	C₂⁴	1	2	yes	—
376	C₂²×Dic₄₃	C₂⁴	1	2	yes	—
377	C₂²×Dic₄₃	C₂⁴	1	2	yes	—
378	C₂²×Dic₄₃	C₂⁴	1	2	yes	—
379	C₂²×Dic₄₃	C₂⁴	1	2	yes	—
380	C₂²×Dic₄₃	C₂⁴	1	8	yes	—
381	C₂²×Dic₄₃	C₂⁴	1	8	yes	—
382	C₂²×Dic₄₃	C₂⁴	1	8	yes	—
383	C₂²×Dic₄₃	C₂⁴	1	8	yes	—
384	C₂²×Dic₄₃	C₂⁴	1	8	yes	—
385	C₂²×Dic₄₃	C₂⁴	1	4	yes	—
386	#10621900	—	4	32	no	—
387	C₂×C₄×D₄₃	—	4	4	no	—
388	C₂×C₄×D₄₃	—	4	4	no	—
389	C₂×C₄×D₄₃	C₂⁴	1	8	yes	—
390	C₂×C₄×D₄₃	C₂⁴	1	8	yes	—
391	C₂×Dic₈₆	—	4	2	no	—
392	C₂×Dic₈₆	—	4	4	no	—
393	C₂×Dic₈₆	—	4	2	no	—
394	C₂×Dic₈₆	—	4	16	no	—
395	C₂×Dic₈₆	—	4	4	no	—
396	C₂×Dic₈₆	—	4	4	no	—
397	C₂×Dic₈₆	C₂⁴	1	8	yes	—
398	C₂×Dic₈₆	C₂⁴	1	4	yes	—
399	C₂×Dic₈₆	C₂⁴	1	8	yes	—
400	C₂×Dic₈₆	C₂⁴	1	8	yes	—
401	C₂×Dic₈₆	C₂⁴	1	4	yes	—
402	C₄⋊C₄×C₄₃	C₂⁴	1	8	yes	—
403	C₄⋊C₄×C₄₃	C₂⁴	1	8	yes	—
404	C₂²⋊C₄×C₄₃	C₂⁴	1	8	yes	—
405	C₂²⋊C₄×C₄₃	C₂⁴	1	4	yes	—
406	C₂²⋊C₄×C₄₃	C₂⁴	1	4	yes	—
407	C₂²⋊C₄×C₄₃	C₂⁴	1	8	yes	—
408	C₂²⋊C₄×C₄₃	C₂⁴	1	8	yes	—
409	C₂²⋊C₄×C₄₃	C₂⁴	1	8	yes	—
410	C₂²⋊C₄×C₄₃	C₂⁴	1	8	yes	—
411	C₂²⋊Dic₄₃	C₂⁴	1	8	yes	—
412	C₂²⋊Dic₄₃	C₂⁴	1	8	yes	—
413	C₂²⋊Dic₄₃	C₂⁴	1	8	yes	—
414	C₂²⋊Dic₄₃	C₂⁴	1	8	yes	—
415	C₂²⋊Dic₄₃	C₂⁴	1	8	yes	—
416	C₂²⋊Dic₄₃	C₂⁴	1	8	yes	—
417	C₂²⋊Dic₄₃	C₂⁴	1	4	yes	—
418	C₂²⋊Dic₄₃	C₂⁴	1	8	yes	—
419	C₂²⋊Dic₄₃	C₂⁴	1	4	yes	—
420	C₂²⋊Dic₄₃	C₂⁴	1	8	yes	—
421	C₂²⋊Dic₄₃	C₂⁴	1	8	yes	—
422	C₂²⋊Dic₄₃	C₂⁴	1	8	yes	—
423	C₂²⋊Dic₄₃	C₂⁴	1	8	yes	—
424	C₂²⋊Dic₄₃	C₂⁴	1	8	yes	—
425	C₂²⋊Dic₄₃	C₂⁴	1	8	yes	—
426	C₂²⋊Dic₄₃	C₂⁴	1	8	yes	—
427	C₂²⋊Dic₄₃	C₂⁴	1	8	yes	—
428	(C₂×D₄₃)⋊C₄	C₂⁴	1	8	yes	—
429	(C₂×D₄₃)⋊C₄	C₂⁴	1	8	yes	—
430	(C₂×D₄₃)⋊C₄	C₂⁴	1	8	yes	—
431	(C₂×D₄₃)⋊C₄	C₂⁴	1	8	yes	—
432	(C₂×D₄₃)⋊C₄	C₂⁴	1	8	yes	—
433	(C₂×D₄₃)⋊C₄	C₂⁴	1	8	yes	—
434	C₄⋊Dic₄₃	C₂⁴	1	8	yes	—
435	C₄⋊Dic₄₃	C₂⁴	1	8	yes	—
436	C₄⋊Dic₄₃	C₂⁴	1	8	yes	—
437	C₄⋊Dic₄₃	C₂⁴	1	8	yes	—
438	Dic₄₃⋊C₄	C₂⁴	1	8	yes	—
439	Dic₄₃⋊C₄	C₂⁴	1	8	yes	—
440	Dic₄₃⋊C₄	C₂⁴	1	8	yes	—
441	Dic₄₃⋊C₄	C₂⁴	1	8	yes	—
442	Dic₄₃⋊C₄	C₂⁴	1	8	yes	—
443	Dic₄₃⋊C₄	C₂⁴	1	8	yes	—
444	Dic₄₃⋊C₄	C₂⁴	1	8	yes	—
445	Dic₄₃⋊C₄	C₂⁴	1	8	yes	—
446	Dic₄₃⋊C₄	C₂⁴	1	8	yes	—
447	Dic₄₃⋊C₄	C₂⁴	1	8	yes	—
448	C₄×Dic₄₃	C₂⁴	1	4	yes	—
449	C₄×Dic₄₃	C₂⁴	1	8	yes	—
450	C₄×Dic₄₃	C₂⁴	1	4	yes	—
451	C₄×Dic₄₃	C₂⁴	1	8	yes	—
452	C₄×Dic₄₃	C₂⁴	1	8	yes	—
453	C₄×Dic₄₃	C₂⁴	1	8	yes	—
454	C₄×Dic₄₃	C₂⁴	1	8	yes	—
455	C₂³×C₄₃	—	2	4	no	—
456	C₂³×C₄₃	—	2	4	no	—
457	C₂³×C₄₃	—	2	2	no	—
458	C₂³×C₄₃	—	2	2	no	—
459	C₂³×C₄₃	—	2	2	no	—
460	C₂³×C₄₃	—	2	2	no	—
461	C₂³×C₄₃	—	2	4	no	—
462	C₂³×C₄₃	—	2	4	no	—
463	C₂³×C₄₃	—	2	4	no	—
464	C₂³×C₄₃	—	2	4	no	—
465	C₂³×C₄₃	—	2	4	no	—
466	C₂³×C₄₃	—	2	4	no	—
467	C₂³×C₄₃	—	2	8	no	—
468	C₂³×C₄₃	—	2	8	no	—
469	C₂³×C₄₃	—	4	4	no	—
470	C₂³×C₄₃	—	4	8	no	—
471	C₂³×C₄₃	—	4	8	no	—
472	C₂³×C₄₃	—	4	8	no	—
473	C₂³×C₄₃	—	8	8	no	—
474	C₂³×C₄₃	—	8	8	no	—
475	C₂³×C₄₃	—	8	8	no	—
476	C₂³×C₄₃	H(5,𝔽₂)	1	4	yes	—
477	C₂³×C₄₃	C₂⁵	1	2	yes	—
478	C₂³×C₄₃	C₂⁵	1	2	yes	—
479	C₂³×C₄₃	C₂⁵	1	2	yes	—
480	C₂³×C₄₃	C₂⁵	1	2	yes	—
481	C₂³×C₄₃	C₂⁵	1	4	yes	—
482	C₂³×C₄₃	C₂⁵	1	2	yes	—
483	C₂³×C₄₃	C₂⁵	1	1	yes	characteristic
484	C₂²×D₄₃	—	2	4	no	—
485	C₂²×D₄₃	—	2	4	no	—
486	C₂²×D₄₃	—	2	4	no	—
487	C₂²×D₄₃	—	4	4	no	—
488	C₂²×D₄₃	—	4	8	no	—
489	C₂²×D₄₃	—	8	8	no	—
490	C₂²×D₄₃	C₂⁵	1	4	yes	—
491	D₄×C₄₃	—	2	16	no	—
492	D₄×C₄₃	—	4	4	no	—
493	D₄×C₄₃	—	4	4	no	—
494	D₄×C₄₃	—	4	4	no	—
495	D₄×C₄₃	—	4	4	no	—
496	D₄×C₄₃	—	4	8	no	—
497	D₄×C₄₃	—	4	8	no	—
498	D₄×C₄₃	—	4	8	no	—
499	C₂×C₄×C₄₃	—	2	8	no	—
500	C₂×C₄×C₄₃	—	2	2	no	—
501	C₂×C₄×C₄₃	—	2	2	no	—
502	C₂×C₄×C₄₃	—	2	4	no	—
503	C₂×C₄×C₄₃	—	2	4	no	—
504	C₂×C₄×C₄₃	—	2	4	no	—
505	C₂×C₄×C₄₃	—	4	8	no	—
506	C₂×C₄×C₄₃	—	4	4	no	—
507	C₂×C₄×C₄₃	C₂⁵	1	4	yes	—
508	C₂×C₄×C₄₃	C₂⁵	1	2	yes	—
509	C₂×C₄×C₄₃	C₂⁵	1	2	yes	—
510	C₂×C₄×C₄₃	C₂⁵	1	4	yes	—
511	C₂×C₄×C₄₃	C₂⁵	1	4	yes	—
512	C₂²⋊D₄₃	—	2	16	no	—
513	C₂²⋊D₄₃	—	4	8	no	—
514	C₂²⋊D₄₃	—	4	8	no	—
515	C₂²⋊D₄₃	—	4	8	no	—
516	C₂²⋊D₄₃	—	4	8	no	—
517	C₂²⋊D₄₃	—	4	8	no	—
518	C₂×Dic₄₃	—	2	4	no	—
519	C₂×Dic₄₃	—	2	4	no	—
520	C₂×Dic₄₃	—	2	16	no	—
521	C₂×Dic₄₃	—	2	4	no	—
522	C₂×Dic₄₃	—	2	4	no	—
523	C₂×Dic₄₃	—	2	4	no	—
524	C₂×Dic₄₃	—	2	4	no	—
525	C₂×Dic₄₃	—	2	4	no	—
526	C₂×Dic₄₃	—	4	8	no	—
527	C₂×Dic₄₃	—	4	8	no	—
528	C₂×Dic₄₃	—	4	8	no	—
529	C₂×Dic₄₃	—	4	8	no	—
530	C₂×Dic₄₃	—	4	4	no	—
531	C₂×Dic₄₃	C₂⁵	1	4	yes	—
532	C₂×Dic₄₃	C₂⁵	1	4	yes	—
533	C₂×Dic₄₃	C₂⁵	1	4	yes	—
534	C₂×Dic₄₃	C₂⁵	1	4	yes	—
535	C₂×Dic₄₃	C₂⁵	1	4	yes	—
536	C₂×Dic₄₃	C₂⁵	1	4	yes	—
537	C₂×Dic₄₃	C₂⁵	1	4	yes	—
538	C₄×D₄₃	—	4	8	no	—
539	C₄×D₄₃	—	4	8	no	—
540	Dic₈₆	—	4	4	no	—
541	Dic₈₆	—	4	8	no	—
542	Dic₈₆	—	4	4	no	—
543	Dic₈₆	—	4	8	no	—
544	Dic₈₆	—	4	8	no	—
545	C₂×#3545	—	43	1	no	maximal, Sylow
546	C₂²×C₄₃	—	2	4	no	—
547	C₂²×C₄₃	—	2	8	no	—
548	C₂²×C₄₃	—	2	2	no	—
549	C₂²×C₄₃	—	2	2	no	—
550	C₂²×C₄₃	—	2	2	no	—
551	C₂²×C₄₃	—	2	2	no	—
552	C₂²×C₄₃	—	2	4	no	—
553	C₂²×C₄₃	—	2	4	no	—
554	C₂²×C₄₃	—	2	4	no	—
555	C₂²×C₄₃	—	2	4	no	—
556	C₂²×C₄₃	—	2	4	no	—
557	C₂²×C₄₃	—	2	4	no	—
558	C₂²×C₄₃	—	2	4	no	—
559	C₂²×C₄₃	—	4	4	no	—
560	C₂²×C₄₃	—	4	8	no	—
561	C₂²×C₄₃	—	4	4	no	—
562	C₂²×C₄₃	—	4	4	no	—
563	C₂²×C₄₃	—	4	4	no	—
564	C₂²×C₄₃	—	8	8	no	—
565	C₂²×C₄₃	—	8	8	no	—
566	C₂²×C₄₃	—	8	8	no	—
567	C₂²×C₄₃	C₂×H(5,𝔽₂)	1	4	yes	—
568	C₂²×C₄₃	C₂×H(5,𝔽₂)	1	2	yes	—
569	C₂²×C₄₃	#585	1	4	yes	—
570	C₂²×C₄₃	C₂⁶	1	1	yes	characteristic
571	C₂×D₄₃	—	2	4	no	—
572	C₂×D₄₃	—	2	4	no	—
573	C₂×D₄₃	—	2	4	no	—
574	C₂×D₄₃	—	4	8	no	—
575	C₂×D₄₃	—	8	8	no	—
576	C₄×C₄₃	—	2	2	no	—
577	C₄×C₄₃	—	2	2	no	—
578	C₄×C₄₃	—	2	4	no	—
579	C₄×C₄₃	—	2	4	no	—
580	C₄×C₄₃	—	2	4	no	—
581	Dic₄₃	—	2	4	no	—
582	Dic₄₃	—	2	4	no	—
583	Dic₄₃	—	2	4	no	—
584	Dic₄₃	—	2	4	no	—
585	Dic₄₃	—	2	4	no	—
586	Dic₄₃	—	2	4	no	—
587	Dic₄₃	—	2	4	no	—
588	#3545	—	43	32	no	—
589	C₂×#563	—	43	1	no	—
590	C₂×#562	—	43	2	no	—
591	C₂×H(3,𝔽₄)	—	43	1	no	—
592	C₂×#555	—	43	2	no	—
593	C₂×#551	—	43	1	no	—
594	C₂×#551	—	43	2	no	—
595	C₂×#551	—	43	1	no	—
596	C₂×#551	—	43	2	no	—
597	C₂×#546	—	43	2	no	—
598	C₂×#546	—	43	2	no	—
599	C₂×#542	—	43	2	no	—
600	C₂×#542	—	43	2	no	—
601	C₂×#538	—	43	2	no	—
602	C₂×#538	—	43	2	no	—
603	C₂×#536	—	43	2	no	—
604	C₂×#534	—	43	1	no	—
605	C₂×#534	D₄₃	1	1	yes	characteristic, complemented
606	C₂×#529	—	43	2	no	—
607	C₂²×#124	—	43	1	no	—
608	C₂×C₄₃	—	2	4	no	—
609	C₂×C₄₃	—	4	2	no	—
610	C₂×C₄₃	—	4	2	no	—
611	C₂×C₄₃	—	4	2	no	—
612	C₂×C₄₃	—	4	4	no	—
613	C₂×C₄₃	—	4	2	no	—
614	C₂×C₄₃	#3545	1	4	yes	complemented
615	C₂×C₄₃	C₂²×H(5,𝔽₂)	1	1	yes	characteristic
616	C₂×C₄₃	C₂×#585	1	2	yes	—
617	D₄₃	—	4	4	no	—
618	C₂²×#41	—	43	2	no	—
619	C₂³×Q₈	—	43	1	no	—
620	C₂³×D₄	—	43	1	no	—
621	C₂³×D₄	C₂×D₄₃	1	1	yes	characteristic
622	C₂³×D₄	C₂×D₄₃	1	1	yes	characteristic, complemented
623	#563	—	43	16	no	—
624	#562	—	43	32	no	—
625	H(3,𝔽₄)	—	43	16	no	—
626	#555	—	43	32	no	—
627	#551	—	43	16	no	—
628	#551	—	43	32	no	—
629	#551	—	43	16	no	—
630	#551	—	43	32	no	—
631	#546	—	43	32	no	—
632	#546	—	43	32	no	—
633	#542	—	43	32	no	—
634	#542	—	43	32	no	—
635	#538	—	43	32	no	—
636	#538	—	43	32	no	—
637	#536	—	43	32	no	—
638	#534	—	43	16	no	—
639	#534	C₂×D₄₃	1	16	yes	complemented
640	C₂×C₄⋊Q₈	—	43	2	no	—
641	C₂×C₄⋊Q₈	—	43	2	no	—
642	#529	—	43	32	no	—
643	C₂×#126	—	43	2	no	—
644	C₂×#126	—	43	2	no	—
645	C₂×#126	—	43	2	no	—
646	C₂×#126	—	43	2	no	—
647	C₂×#126	—	43	2	no	—
648	C₂×#126	—	43	2	no	—
649	C₂×#125	—	43	2	no	—
650	C₂×#124	—	43	1	no	—
651	C₂×#124	—	43	1	no	—
652	C₂×#124	—	43	2	no	—
653	C₂×#124	—	43	2	no	—
654	C₂×#124	—	43	1	no	—
655	C₂×#124	—	43	1	no	—
656	C₂×#124	—	43	16	no	—
657	C₂×#124	—	43	2	no	—
658	C₂×#124	—	43	2	no	—
659	C₂×#124	—	43	2	no	—
660	C₂×#124	—	43	2	no	—
661	C₂×#124	—	43	2	no	—
662	C₂×#124	—	43	2	no	—
663	C₂×#124	—	43	2	no	—
664	C₂×#123	—	43	1	no	—
665	C₂×#123	—	43	1	no	—
666	C₂×#123	—	43	2	no	—
667	C₂×#123	—	43	2	no	—
668	C₂×#123	—	43	2	no	—
669	C₂×#123	—	43	2	no	—
670	C₂×#123	—	43	2	no	—
671	C₂×#123	—	43	2	no	—
672	C₂×#123	—	43	2	no	—
673	C₂×#123	—	43	2	no	—
674	C₂×#123	—	43	2	no	—
675	C₂×#123	C₂×D₄₃	1	1	yes	characteristic
676	C₂×#123	C₂×D₄₃	1	2	yes	complemented
677	C₂×#123	C₂×D₄₃	1	1	yes	characteristic, complemented
678	C₂×C₂²⋊Q₈	—	43	2	no	—
679	C₂×C₂²⋊Q₈	—	43	2	no	—
680	C₂×C₂²⋊Q₈	—	43	2	no	—
681	C₂×C₂²⋊Q₈	—	43	2	no	—
682	C₂×C₂²⋊Q₈	—	43	2	no	—
683	C₂×C₂²⋊Q₈	—	43	2	no	—
684	C₂×C₂²⋊Q₈	—	43	2	no	—
685	C₂×C₂²⋊Q₈	—	43	2	no	—
686	C₂×C₂²⋊Q₈	—	43	2	no	—
687	C₂×#121	—	43	2	no	—
688	C₂×#121	—	43	2	no	—
689	C₂×#121	—	43	2	no	—
690	C₂×#121	—	43	2	no	—
691	C₂×#121	—	43	2	no	—
692	C₂×#121	—	43	2	no	—
693	C₂×#121	—	43	2	no	—
694	C₂×#121	C₂×D₄₃	1	2	yes	—
695	C₂×#121	C₂×D₄₃	1	2	yes	complemented
696	C₂×#120	—	43	2	no	—
697	C₂×#120	—	43	2	no	—
698	C₂×#120	—	43	1	no	—
699	C₂×#120	—	43	1	no	—
700	C₂×#120	—	43	2	no	—
701	C₂×#120	C₂×D₄₃	1	2	yes	—
702	C₂×#120	C₂×D₄₃	1	1	yes	characteristic
703	C₂×#120	C₂×D₄₃	1	1	yes	characteristic, complemented
704	C₂×C₄×Q₈	—	43	2	no	—
705	C₂×C₄×D₄	—	43	2	no	—
706	C₂×C₄×D₄	—	43	2	no	—
707	C₂×C₄×D₄	—	43	2	no	—
708	C₂×C₄×D₄	—	43	2	no	—
709	C₂×C₄×D₄	—	43	2	no	—
710	C₂×C₄×D₄	—	43	2	no	—
711	C₂×C₄×D₄	—	43	2	no	—
712	C₂×#117	—	43	2	no	—
713	C₂×#117	—	43	2	no	—
714	C₂×#117	—	43	2	no	—
715	C₂×#117	—	43	2	no	—
716	C₂×#117	—	43	2	no	—
717	C₂²×C₂²⋊C₄	—	43	2	no	—
718	C₂²×C₂²⋊C₄	—	43	2	no	—
719	C₂²×C₂²⋊C₄	—	43	1	no	—
720	C₂²×C₂²⋊C₄	—	43	2	no	—
721	C₂²×C₂²⋊C₄	—	43	2	no	—
722	C₂²×C₂²⋊C₄	C₂×D₄₃	1	1	yes	characteristic, complemented
723	C₂²×C₄²	—	43	1	no	—
724	C₄₃	C₂×#3545	1	1	yes	characteristic, complemented, Sylow
725	C₂⁵	—	43	1	no	—
726	C₂⁵	C₂²×D₄₃	1	1	yes	characteristic
727	C₂⁵	C₂²×D₄₃	1	1	yes	characteristic
728	C₂⁵	C₂²×D₄₃	1	1	yes	characteristic
729	C₂×#41	—	43	16	no	—
730	C₂×#41	—	172	8	no	—
731	C₂²×Q₈	—	43	2	no	—
732	C₂²×Q₈	—	43	1	no	—
733	C₂²×Q₈	—	43	2	no	—
734	C₂²×Q₈	—	43	2	no	—
735	C₂²×Q₈	—	43	1	no	—
736	C₂²×Q₈	—	43	8	no	—
737	C₂²×Q₈	—	172	4	no	—
738	C₂²×D₄	—	4	4	no	—
739	C₂²×D₄	—	4	4	no	—
740	C₂²×D₄	—	43	2	no	—
741	C₂²×D₄	—	43	2	no	—
742	C₂²×D₄	—	43	2	no	—
743	C₂²×D₄	—	43	2	no	—
744	C₂²×D₄	—	43	2	no	—
745	C₂²×D₄	—	43	2	no	—
746	C₂²×D₄	—	43	8	no	—
747	C₂²×D₄	—	172	4	no	—
748	C₂²×D₄	C₂²×D₄₃	1	2	yes	—
749	C₂²×D₄	C₂²×D₄₃	1	2	yes	—
750	C₂²×D₄	C₂²×D₄₃	1	2	yes	—
751	C₂²×D₄	C₂²×D₄₃	1	1	yes	characteristic
752	C₂²×D₄	C₂²×D₄₃	1	1	yes	characteristic
753	C₂²×D₄	C₂²×D₄₃	1	1	yes	characteristic
754	C₂²×D₄	C₂²×D₄₃	1	2	yes	—
755	C₂²×D₄	C₂²×D₄₃	1	1	yes	characteristic
756	C₂²×D₄	C₂²×D₄₃	1	8	yes	—
757	C₂²×D₄	C₂²×D₄₃	1	8	yes	complemented
758	C₂³×C₄	—	43	2	no	—
759	C₂³×C₄	—	43	2	no	—
760	C₂³×C₄	—	43	2	no	—
761	C₂³×C₄	—	43	2	no	—
762	C₂³×C₄	—	43	2	no	—
763	C₂³×C₄	—	43	1	no	—
764	C₂³×C₄	—	43	2	no	—
765	C₂³×C₄	—	43	2	no	—
766	C₂³×C₄	C₂²×D₄₃	1	1	yes	characteristic
767	C₂³×C₄	C₂²×D₄₃	1	2	yes	—
768	C₂³×C₄	C₂²×D₄₃	1	1	yes	characteristic
769	C₄⋊Q₈	—	43	16	no	—
770	C₄⋊Q₈	—	43	16	no	—
771	#126	—	43	16	no	—
772	#126	—	43	16	no	—
773	#126	—	43	16	no	—
774	#126	—	43	16	no	—
775	#126	—	43	16	no	—
776	#126	—	43	16	no	—
777	#125	—	43	16	no	—
778	#124	—	43	16	no	—
779	#124	—	43	16	no	—
780	#124	—	43	8	no	—
781	#124	—	43	8	no	—
782	#124	—	43	8	no	—
783	#124	—	43	8	no	—
784	#124	—	43	16	no	—
785	#124	—	43	16	no	—
786	#124	—	43	16	no	—
787	#124	—	43	16	no	—
788	#124	—	43	16	no	—
789	#124	—	43	16	no	—
790	#124	—	43	16	no	—
791	#123	—	43	8	no	—
792	#123	—	43	8	no	—
793	#123	—	43	16	no	—
794	#123	—	43	16	no	—
795	#123	—	43	16	no	—
796	#123	—	43	16	no	—
797	#123	—	43	16	no	—
798	#123	—	43	16	no	—
799	#123	—	43	16	no	—
800	#123	—	43	16	no	—
801	#123	—	43	16	no	—
802	#123	C₂²×D₄₃	1	8	yes	—
803	#123	C₂²×D₄₃	1	16	yes	complemented
804	#123	C₂²×D₄₃	1	8	yes	complemented
805	C₂²⋊Q₈	—	43	16	no	—
806	C₂²⋊Q₈	—	43	16	no	—
807	C₂²⋊Q₈	—	43	16	no	—
808	C₂²⋊Q₈	—	43	16	no	—
809	C₂²⋊Q₈	—	43	16	no	—
810	C₂²⋊Q₈	—	43	16	no	—
811	C₂²⋊Q₈	—	43	16	no	—
812	C₂²⋊Q₈	—	43	16	no	—
813	C₂²⋊Q₈	—	43	16	no	—
814	#121	—	43	16	no	—
815	#121	—	43	16	no	—
816	#121	—	43	16	no	—
817	#121	—	43	16	no	—
818	#121	—	43	16	no	—
819	#121	—	43	16	no	—
820	#121	—	43	16	no	—
821	#121	C₂²×D₄₃	1	16	yes	—
822	#121	C₂²×D₄₃	1	16	yes	complemented
823	#120	—	43	16	no	—
824	#120	—	43	16	no	—
825	#120	—	43	8	no	—
826	#120	—	43	8	no	—
827	#120	—	43	16	no	—
828	#120	C₂²×D₄₃	1	16	yes	—
829	#120	C₂²×D₄₃	1	8	yes	—
830	#120	C₂²×D₄₃	1	8	yes	complemented
831	C₄×Q₈	—	43	16	no	—
832	C₄×D₄	—	43	16	no	—
833	C₄×D₄	—	43	16	no	—
834	C₄×D₄	—	43	16	no	—
835	C₄×D₄	—	43	16	no	—
836	C₄×D₄	—	43	16	no	—
837	C₄×D₄	—	43	16	no	—
838	C₄×D₄	—	43	16	no	—
839	#117	—	43	16	no	—
840	#117	—	43	16	no	—
841	#117	—	43	16	no	—
842	#117	—	43	16	no	—
843	#117	—	43	16	no	—
844	C₂×C₄⋊C₄	—	43	2	no	—
845	C₂×C₄⋊C₄	—	43	2	no	—
846	C₂×C₄⋊C₄	—	43	2	no	—
847	C₂×C₄⋊C₄	—	43	2	no	—
848	C₂×C₄⋊C₄	—	43	2	no	—
849	C₂×C₄⋊C₄	—	43	2	no	—
850	C₂×C₄⋊C₄	—	43	2	no	—
851	C₂×C₄⋊C₄	—	43	2	no	—
852	C₂×C₄⋊C₄	—	43	2	no	—
853	C₂×C₄⋊C₄	—	43	2	no	—
854	C₂×C₄⋊C₄	—	43	2	no	—
855	C₂×C₄⋊C₄	—	43	2	no	—
856	C₂×C₄⋊C₄	—	43	2	no	—
857	C₂×C₄⋊C₄	—	43	2	no	—
858	C₂×C₄⋊C₄	C₂²×D₄₃	1	2	yes	—
859	C₂×C₄⋊C₄	C₂²×D₄₃	1	2	yes	—
860	C₂×C₂²⋊C₄	—	43	2	no	—
861	C₂×C₂²⋊C₄	—	43	2	no	—
862	C₂×C₂²⋊C₄	—	43	2	no	—
863	C₂×C₂²⋊C₄	—	43	2	no	—
864	C₂×C₂²⋊C₄	—	43	2	no	—
865	C₂×C₂²⋊C₄	—	43	2	no	—
866	C₂×C₂²⋊C₄	—	43	2	no	—
867	C₂×C₂²⋊C₄	—	43	2	no	—
868	C₂×C₂²⋊C₄	—	43	2	no	—
869	C₂×C₂²⋊C₄	—	43	1	no	—
870	C₂×C₂²⋊C₄	—	43	1	no	—
871	C₂×C₂²⋊C₄	—	43	2	no	—
872	C₂×C₂²⋊C₄	—	43	2	no	—
873	C₂×C₂²⋊C₄	—	43	2	no	—
874	C₂×C₂²⋊C₄	—	43	16	no	—
875	C₂×C₂²⋊C₄	—	43	16	no	—
876	C₂×C₂²⋊C₄	—	43	8	no	—
877	C₂×C₂²⋊C₄	—	43	16	no	—
878	C₂×C₂²⋊C₄	—	43	2	no	—
879	C₂×C₂²⋊C₄	—	43	2	no	—
880	C₂×C₂²⋊C₄	—	43	2	no	—
881	C₂×C₂²⋊C₄	—	43	2	no	—
882	C₂×C₂²⋊C₄	—	43	2	no	—
883	C₂×C₂²⋊C₄	—	43	2	no	—
884	C₂×C₂²⋊C₄	—	43	2	no	—
885	C₂×C₂²⋊C₄	—	43	2	no	—
886	C₂×C₂²⋊C₄	—	43	2	no	—
887	C₂×C₂²⋊C₄	—	43	16	no	—
888	C₂×C₂²⋊C₄	C₂²×D₄₃	1	2	yes	—
889	C₂×C₂²⋊C₄	C₂²×D₄₃	1	2	yes	—
890	C₂×C₂²⋊C₄	C₂²×D₄₃	1	1	yes	characteristic
891	C₂×C₂²⋊C₄	C₂²×D₄₃	1	1	yes	characteristic
892	C₂×C₂²⋊C₄	C₂²×D₄₃	1	2	yes	—
893	C₂×C₂²⋊C₄	C₂²×D₄₃	1	2	yes	—
894	C₂×C₂²⋊C₄	C₂²×D₄₃	1	2	yes	—
895	C₂×C₂²⋊C₄	C₂²×D₄₃	1	8	yes	complemented
896	C₂×C₄²	—	43	1	no	—
897	C₂×C₄²	—	43	2	no	—
898	C₂×C₄²	—	43	2	no	—
899	C₂×C₄²	—	43	2	no	—
900	C₂×C₄²	—	43	2	no	—
901	C₂×C₄²	—	43	2	no	—
902	C₂×C₄²	—	43	1	no	—
903	C₂×C₄²	—	43	8	no	—
904	C₂⁴	—	2	4	no	—
905	C₂⁴	—	2	4	no	—
906	C₂⁴	—	4	2	no	—
907	C₂⁴	—	4	4	no	—
908	C₂⁴	—	4	4	no	—
909	C₂⁴	—	4	4	no	—
910	C₂⁴	—	43	2	no	—
911	C₂⁴	—	43	4	no	—
912	C₂⁴	—	172	2	no	—
913	C₂⁴	—	172	4	no	—
914	C₂⁴	C₂³×D₄₃	1	1	yes	characteristic
915	C₂⁴	C₂³×D₄₃	1	1	yes	characteristic
916	C₂⁴	C₂³×D₄₃	1	1	yes	characteristic
917	C₂⁴	C₂³×D₄₃	1	2	yes	—
918	C₂⁴	C₂³×D₄₃	1	1	yes	characteristic
919	C₂⁴	C₂³×D₄₃	1	1	yes	characteristic
920	C₂⁴	C₂³×D₄₃	1	4	yes	—
921	C₂⁴	C₂³×D₄₃	1	4	yes	—
922	C₂⁴	C₂³×D₄₃	1	4	yes	—
923	#41	—	172	32	no	—
924	C₂×Q₈	—	43	8	no	—
925	C₂×Q₈	—	43	4	no	—
926	C₂×Q₈	—	43	8	no	—
927	C₂×Q₈	—	43	8	no	—
928	C₂×Q₈	—	43	4	no	—
929	C₂×Q₈	—	172	2	no	—
930	C₂×Q₈	—	172	4	no	—
931	C₂×Q₈	—	172	2	no	—
932	C₂×Q₈	—	172	16	no	—
933	C₂×Q₈	—	172	4	no	—
934	C₂×Q₈	—	172	4	no	—
935	C₂×D₄	—	2	8	no	—
936	C₂×D₄	—	4	2	no	—
937	C₂×D₄	—	4	2	no	—
938	C₂×D₄	—	4	2	no	—
939	C₂×D₄	—	4	2	no	—
940	C₂×D₄	—	4	16	no	—
941	C₂×D₄	—	4	4	no	—
942	C₂×D₄	—	4	4	no	—
943	C₂×D₄	—	4	4	no	—
944	C₂×D₄	—	4	16	no	—
945	C₂×D₄	—	43	8	no	—
946	C₂×D₄	—	43	8	no	—
947	C₂×D₄	—	43	8	no	—
948	C₂×D₄	—	43	8	no	—
949	C₂×D₄	—	43	8	no	—
950	C₂×D₄	—	43	8	no	—
951	C₂×D₄	—	86	8	no	—
952	C₂×D₄	—	172	4	no	—
953	C₂×D₄	—	172	4	no	—
954	C₂×D₄	—	172	4	no	—
955	C₂×D₄	—	172	4	no	—
956	C₂×D₄	—	172	4	no	—
957	C₂×D₄	—	172	16	no	—
958	C₂×D₄	C₂³×D₄₃	1	8	yes	—
959	C₂×D₄	C₂³×D₄₃	1	8	yes	—
960	C₂×D₄	C₂³×D₄₃	1	8	yes	—
961	C₂×D₄	C₂³×D₄₃	1	4	yes	—
962	C₂×D₄	C₂³×D₄₃	1	4	yes	—
963	C₂×D₄	C₂³×D₄₃	1	4	yes	—
964	C₂×D₄	C₂³×D₄₃	1	8	yes	—
965	C₂×D₄	C₂³×D₄₃	1	4	yes	—
966	C₂²×C₄	—	2	4	no	—
967	C₂²×C₄	—	4	2	no	—
968	C₂²×C₄	—	4	4	no	—
969	C₂²×C₄	—	43	8	no	—
970	C₂²×C₄	—	43	2	no	—
971	C₂²×C₄	—	43	2	no	—
972	C₂²×C₄	—	43	2	no	—
973	C₂²×C₄	—	43	2	no	—
974	C₂²×C₄	—	43	2	no	—
975	C₂²×C₄	—	43	2	no	—
976	C₂²×C₄	—	43	2	no	—
977	C₂²×C₄	—	43	8	no	—
978	C₂²×C₄	—	43	8	no	—
979	C₂²×C₄	—	43	8	no	—
980	C₂²×C₄	—	43	8	no	—
981	C₂²×C₄	—	43	4	no	—
982	C₂²×C₄	—	43	8	no	—
983	C₂²×C₄	—	43	8	no	—
984	C₂²×C₄	—	86	8	no	—
985	C₂²×C₄	—	172	4	no	—
986	C₂²×C₄	—	172	4	no	—
987	C₂²×C₄	—	172	2	no	—
988	C₂²×C₄	—	172	4	no	—
989	C₂²×C₄	—	172	4	no	—
990	C₂²×C₄	—	172	4	no	—
991	C₂²×C₄	—	172	4	no	—
992	C₂²×C₄	C₂³×D₄₃	1	4	yes	—
993	C₂²×C₄	C₂³×D₄₃	1	2	yes	—
994	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
995	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
996	C₂²×C₄	C₂³×D₄₃	1	2	yes	—
997	C₂²×C₄	C₂³×D₄₃	1	2	yes	—
998	C₂²×C₄	C₂³×D₄₃	1	8	yes	—
999	C₂²×C₄	C₂³×D₄₃	1	4	yes	—
1000	C₄⋊C₄	—	43	8	no	—
1001	C₄⋊C₄	—	43	8	no	—
1002	C₄⋊C₄	—	43	8	no	—
1003	C₄⋊C₄	—	43	8	no	—
1004	C₄⋊C₄	—	43	8	no	—
1005	C₄⋊C₄	—	43	8	no	—
1006	C₄⋊C₄	—	43	8	no	—
1007	C₄⋊C₄	—	43	8	no	—
1008	C₄⋊C₄	—	43	8	no	—
1009	C₄⋊C₄	—	43	8	no	—
1010	C₄⋊C₄	—	43	8	no	—
1011	C₄⋊C₄	—	43	8	no	—
1012	C₄⋊C₄	—	43	8	no	—
1013	C₄⋊C₄	—	43	8	no	—
1014	C₄⋊C₄	C₂³×D₄₃	1	8	yes	—
1015	C₄⋊C₄	C₂³×D₄₃	1	8	yes	—
1016	C₂²⋊C₄	—	43	8	no	—
1017	C₂²⋊C₄	—	43	8	no	—
1018	C₂²⋊C₄	—	43	8	no	—
1019	C₂²⋊C₄	—	43	8	no	—
1020	C₂²⋊C₄	—	43	8	no	—
1021	C₂²⋊C₄	—	43	8	no	—
1022	C₂²⋊C₄	—	43	8	no	—
1023	C₂²⋊C₄	—	43	8	no	—
1024	C₂²⋊C₄	—	43	8	no	—
1025	C₂²⋊C₄	—	43	4	no	—
1026	C₂²⋊C₄	—	43	4	no	—
1027	C₂²⋊C₄	—	43	8	no	—
1028	C₂²⋊C₄	—	43	8	no	—
1029	C₂²⋊C₄	—	43	8	no	—
1030	C₂²⋊C₄	—	43	8	no	—
1031	C₂²⋊C₄	—	43	8	no	—
1032	C₂²⋊C₄	—	43	8	no	—
1033	C₂²⋊C₄	—	43	8	no	—
1034	C₂²⋊C₄	—	43	8	no	—
1035	C₂²⋊C₄	—	43	8	no	—
1036	C₂²⋊C₄	—	43	8	no	—
1037	C₂²⋊C₄	—	43	8	no	—
1038	C₂²⋊C₄	—	43	8	no	—
1039	C₂²⋊C₄	C₂³×D₄₃	1	8	yes	—
1040	C₂²⋊C₄	C₂³×D₄₃	1	8	yes	—
1041	C₂²⋊C₄	C₂³×D₄₃	1	4	yes	—
1042	C₂²⋊C₄	C₂³×D₄₃	1	4	yes	—
1043	C₂²⋊C₄	C₂³×D₄₃	1	8	yes	—
1044	C₂²⋊C₄	C₂³×D₄₃	1	8	yes	—
1045	C₂²⋊C₄	C₂³×D₄₃	1	8	yes	—
1046	C₄²	—	43	4	no	—
1047	C₄²	—	43	8	no	—
1048	C₄²	—	43	4	no	—
1049	C₄²	—	43	8	no	—
1050	C₄²	—	43	8	no	—
1051	C₄²	—	43	8	no	—
1052	C₄²	—	43	8	no	—
1053	C₂³	—	2	4	no	—
1054	C₂³	—	2	2	no	—
1055	C₂³	—	2	4	no	—
1056	C₂³	—	2	2	no	—
1057	C₂³	—	2	2	no	—
1058	C₂³	—	2	2	no	—
1059	C₂³	—	2	4	no	—
1060	C₂³	—	2	4	no	—
1061	C₂³	—	2	4	no	—
1062	C₂³	—	2	4	no	—
1063	C₂³	—	2	4	no	—
1064	C₂³	—	2	4	no	—
1065	C₂³	—	2	8	no	—
1066	C₂³	—	2	8	no	—
1067	C₂³	—	4	4	no	—
1068	C₂³	—	4	8	no	—
1069	C₂³	—	4	8	no	—
1070	C₂³	—	4	8	no	—
1071	C₂³	—	8	8	no	—
1072	C₂³	—	8	8	no	—
1073	C₂³	—	8	8	no	—
1074	C₂³	—	43	4	no	—
1075	C₂³	—	86	4	no	—
1076	C₂³	—	86	4	no	—
1077	C₂³	—	86	4	no	—
1078	C₂³	—	344	8	no	—
1079	C₂³	—	172	4	no	—
1080	C₂³	—	172	8	no	—
1081	C₂³	#13063370	1	4	yes	—
1082	C₂³	C₂⁴×D₄₃	1	2	yes	—
1083	C₂³	C₂⁴×D₄₃	1	2	yes	—
1084	C₂³	C₂⁴×D₄₃	1	2	yes	—
1085	C₂³	C₂⁴×D₄₃	1	4	yes	—
1086	C₂³	C₂⁴×D₄₃	1	2	yes	—
1087	C₂³	C₂⁴×D₄₃	1	2	yes	—
1088	C₂³	C₂⁴×D₄₃	1	1	yes	characteristic
1089	Q₈	—	172	4	no	—
1090	Q₈	—	172	8	no	—
1091	Q₈	—	172	4	no	—
1092	Q₈	—	172	8	no	—
1093	Q₈	—	172	8	no	—
1094	D₄	—	2	16	no	—
1095	D₄	—	4	4	no	—
1096	D₄	—	4	4	no	—
1097	D₄	—	4	4	no	—
1098	D₄	—	4	4	no	—
1099	D₄	—	4	8	no	—
1100	D₄	—	4	8	no	—
1101	D₄	—	4	8	no	—
1102	D₄	—	86	16	no	—
1103	D₄	—	172	8	no	—
1104	D₄	—	172	8	no	—
1105	D₄	—	172	8	no	—
1106	D₄	—	172	8	no	—
1107	D₄	—	172	8	no	—
1108	C₂×C₄	—	2	8	no	—
1109	C₂×C₄	—	2	2	no	—
1110	C₂×C₄	—	2	2	no	—
1111	C₂×C₄	—	2	4	no	—
1112	C₂×C₄	—	2	4	no	—
1113	C₂×C₄	—	2	4	no	—
1114	C₂×C₄	—	4	4	no	—
1115	C₂×C₄	—	4	8	no	—
1116	C₂×C₄	—	43	4	no	—
1117	C₂×C₄	—	43	4	no	—
1118	C₂×C₄	—	43	4	no	—
1119	C₂×C₄	—	43	4	no	—
1120	C₂×C₄	—	43	4	no	—
1121	C₂×C₄	—	43	4	no	—
1122	C₂×C₄	—	43	4	no	—
1123	C₂×C₄	—	86	4	no	—
1124	C₂×C₄	—	86	4	no	—
1125	C₂×C₄	—	86	16	no	—
1126	C₂×C₄	—	86	4	no	—
1127	C₂×C₄	—	86	4	no	—
1128	C₂×C₄	—	86	4	no	—
1129	C₂×C₄	—	86	4	no	—
1130	C₂×C₄	—	86	4	no	—
1131	C₂×C₄	—	172	8	no	—
1132	C₂×C₄	—	172	8	no	—
1133	C₂×C₄	—	172	4	no	—
1134	C₂×C₄	—	172	8	no	—
1135	C₂×C₄	—	172	8	no	—
1136	C₂×C₄	—	172	8	no	—
1137	C₂×C₄	—	172	8	no	—
1138	C₂×C₄	C₂⁴×D₄₃	1	4	yes	—
1139	C₂×C₄	C₂⁴×D₄₃	1	2	yes	—
1140	C₂×C₄	C₂⁴×D₄₃	1	2	yes	—
1141	C₂×C₄	C₂⁴×D₄₃	1	4	yes	—
1142	C₂×C₄	C₂⁴×D₄₃	1	4	yes	—
1143	C₂²	—	2	4	no	—
1144	C₂²	—	2	8	no	—
1145	C₂²	—	2	2	no	—
1146	C₂²	—	2	4	no	—
1147	C₂²	—	2	2	no	—
1148	C₂²	—	2	2	no	—
1149	C₂²	—	2	2	no	—
1150	C₂²	—	2	4	no	—
1151	C₂²	—	2	4	no	—
1152	C₂²	—	2	4	no	—
1153	C₂²	—	2	4	no	—
1154	C₂²	—	2	4	no	—
1155	C₂²	—	2	4	no	—
1156	C₂²	—	4	4	no	—
1157	C₂²	—	4	4	no	—
1158	C₂²	—	4	8	no	—
1159	C₂²	—	4	4	no	—
1160	C₂²	—	4	4	no	—
1161	C₂²	—	8	8	no	—
1162	C₂²	—	8	8	no	—
1163	C₂²	—	8	8	no	—
1164	C₂²	—	86	4	no	—
1165	C₂²	—	86	4	no	—
1166	C₂²	—	86	4	no	—
1167	C₂²	—	344	8	no	—
1168	C₂²	—	172	8	no	—
1169	C₂²	C₂×#13063370	1	4	yes	—
1170	C₂²	C₂×#13063370	1	2	yes	—
1171	C₂²	#14583734	1	4	yes	—
1172	C₂²	C₂⁵×D₄₃	1	1	yes	characteristic
1173	C₄	—	2	2	no	—
1174	C₄	—	2	2	no	—
1175	C₄	—	2	4	no	—
1176	C₄	—	2	4	no	—
1177	C₄	—	2	4	no	—
1178	C₄	—	86	4	no	—
1179	C₄	—	86	4	no	—
1180	C₄	—	86	4	no	—
1181	C₄	—	86	4	no	—
1182	C₄	—	86	4	no	—
1183	C₄	—	86	4	no	—
1184	C₄	—	86	4	no	—
1185	C₂	—	2	4	no	—
1186	C₂	—	4	2	no	—
1187	C₂	—	4	2	no	—
1188	C₂	—	4	4	no	—
1189	C₂	—	4	2	no	—
1190	C₂	—	4	2	no	—
1191	C₂	—	172	4	no	—
1192	C₂	#19148944	1	4	yes	direct product factor
1193	C₂	C₂²×#13063370	1	1	yes	characteristic
1194	C₂	C₂×#14583734	1	2	yes	—

	subgroup	G/H
center	C₂³	C₂⁴×D₄₃
commutator, cosocle	C₂²×C₄₃	C₂⁶
Frattini	C₂²	C₂⁵×D₄₃
Fitting	C₂×C₄₃×#534	C₂
socle	C₂³×C₄₃	C₂⁵
hypercenter	C₂×#534	D₄₃
hypocenter	C₄₃	C₂×#3545
LCS	G ▷ C₂²×C₄₃ ▷ C₄₃
UCS	C₁ ◁ C₂³ ◁ C₂×#534

Complements

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

N	H ≅ G/N	type
1. #19148944	C₂	direct (N × H)
2. C₂×#14583652	C₂	semidirect
3. C₂×#14583644	C₂	semidirect
4. C₂×#14583642	C₂	semidirect
5. C₂×#14583613	C₂	semidirect
6. C₂×#14583580	C₂	semidirect
7. C₂×#14583580	C₂	semidirect
8. C₂×#14583577	C₂	semidirect
9. C₂×#14583575	C₂	semidirect
10. C₂×#14583543	C₂	semidirect
11. C₂×#14583536	C₂	semidirect
12. C₂×#14583517	C₂	semidirect
13. C₂×#14583516	C₂	semidirect
14. C₂×#14583484	C₂	semidirect
15. C₂×#14583481	C₂	semidirect
16. C₂×#14583471	C₂	semidirect
17. C₂×#14583458	C₂	semidirect
18. C₂×#14583426	C₂	semidirect
19. C₂²×#13063312	C₂	semidirect
20. C₂×C₄₃×#534	C₂	semidirect
22. C₂³×Dic₈₆	C₂²	semidirect
23. C₂³×C₂²⋊D₄₃	C₂²	semidirect
24. #14583652	C₂²	semidirect
25. #14583644	C₂²	semidirect
26. #14583642	C₂²	semidirect
27. #14583613	C₂²	semidirect
28. #14583580	C₂²	semidirect
29. #14583580	C₂²	semidirect
30. #14583577	C₂²	semidirect
31. #14583575	C₂²	semidirect
32. #14583543	C₂²	semidirect
33. #14583536	C₂²	semidirect
34. #14583517	C₂²	semidirect
35. #14583516	C₂²	semidirect
36. #14583484	C₂²	semidirect
37. #14583481	C₂²	semidirect
38. #14583471	C₂²	semidirect
39. #14583458	C₂²	semidirect
40. C₂×#13063324	C₂²	semidirect
41. C₂×#13063324	C₂²	semidirect
42. #14583426	C₂²	semidirect
43. C₂×#13063320	C₂²	semidirect
44. C₂×#13063318	C₂²	semidirect
45. C₂×#13063318	C₂²	semidirect
46. C₂×#13063318	C₂²	semidirect
47. C₂×#13063318	C₂²	semidirect
48. C₂×#13063318	C₂²	semidirect
49. C₂×#13063315	C₂²	semidirect
52. C₂×#13063312	C₂²	semidirect
53. C₂×#13063312	C₂²	semidirect
54. C₂×#13063312	C₂²	semidirect
55. C₂×#13063312	C₂²	semidirect
56. C₂×#13063312	C₂²	semidirect
57. C₂×#13063312	C₂²	semidirect
58. C₂×#13063312	C₂²	semidirect
59. C₂×#13063311	C₂²	semidirect
60. C₂×#13063311	C₂²	semidirect
61. C₂×#13063311	C₂²	semidirect
62. C₂×#13063311	C₂²	semidirect
63. C₂×#13063311	C₂²	semidirect
64. C₂×#13063309	C₂²	semidirect
65. C₂×#13063308	C₂²	semidirect
66. C₂×#13063308	C₂²	semidirect
67. C₂×#13063307	C₂²	semidirect
68. C₂×#13063307	C₂²	semidirect
70. C₂×#13063306	C₂²	semidirect
71. C₂×#13063306	C₂²	semidirect
72. C₂×#13063306	C₂²	semidirect
73. C₂×#13063306	C₂²	semidirect
74. C₂×#13063306	C₂²	semidirect
75. C₂×#13063304	C₂²	semidirect
76. C₂×#13063304	C₂²	semidirect
77. C₂×#13063303	C₂²	semidirect
78. C₂×#13063303	C₂²	semidirect
79. C₂×#13063302	C₂²	semidirect
80. C₂×#13063302	C₂²	semidirect
81. C₂×#13063302	C₂²	semidirect
82. C₂×#13063302	C₂²	semidirect
83. C₂×#13063302	C₂²	semidirect
86. C₂×#13063297	C₂²	semidirect
87. C₂×#13063297	C₂²	semidirect
88. C₂×#13063297	C₂²	semidirect
89. C₂×#13063296	C₂²	semidirect
90. C₂×#13063296	C₂²	semidirect
92. C₂×#13063294	C₂²	semidirect
94. C₂×#13063293	C₂²	semidirect
95. C₂×#13063293	C₂²	semidirect
96. C₂×#13063290	C₂²	semidirect
97. C₂×D₄×Dic₄₃	C₂²	semidirect
98. C₂×D₄×Dic₄₃	C₂²	semidirect
99. C₂×D₄×Dic₄₃	C₂²	semidirect
100. C₂×C₄×C₂²⋊D₄₃	C₂²	semidirect
101. C₂×C₄×C₂²⋊D₄₃	C₂²	semidirect
102. C₂×(C₂²⋊D₄₃)⋊C₄	C₂²	semidirect
103. C₂×(C₂²⋊D₄₃)⋊C₄	C₂²	semidirect
104. C₂×#13063284	C₂²	semidirect
105. C₂×#13063283	C₂²	semidirect
106. C₂×#13063281	C₂²	semidirect
107. C₂×#13063281	C₂²	semidirect
108. C₂×#13063281	C₂²	semidirect
109. C₂²×C₂²⋊Dic₄₃	C₂²	semidirect
110. C₂²×C₂²⋊Dic₄₃	C₂²	semidirect
111. C₂²×C₂²⋊Dic₄₃	C₂²	semidirect
112. C₂²×C₂²⋊Dic₄₃	C₂²	semidirect
113. C₂×C₂²⋊C₄×D₄₃	C₂²	semidirect
114. C₂²×C₄×Dic₄₃	C₂²	semidirect
116. C₂³×D₄×C₄₃	C₂²	semidirect
117. C₄₃×#534	C₂²	semidirect
119. C₂×#123×C₄₃	C₂²	semidirect
120. C₂×#123×C₄₃	C₂²	semidirect
122. C₂×#121×C₄₃	C₂²	semidirect
125. C₂×#120×C₄₃	C₂²	semidirect
126. C₂²×C₂²⋊C₄×C₄₃	C₂²	semidirect
136. C₂²×Dic₈₆	C₂³	semidirect
144. C₂²×C₂²⋊D₄₃	C₂³	semidirect
153. #13063324	C₂³	semidirect
154. #13063324	C₂³	semidirect
155. #13063320	C₂³	semidirect
156. #13063318	C₂³	semidirect
157. #13063318	C₂³	semidirect
158. #13063318	C₂³	semidirect
159. #13063318	C₂³	semidirect
160. #13063318	C₂³	semidirect
161. #13063315	C₂³	semidirect
164. #13063312	C₂³	semidirect
165. #13063312	C₂³	semidirect
166. #13063312	C₂³	semidirect
167. #13063312	C₂³	semidirect
168. #13063312	C₂³	semidirect
169. #13063312	C₂³	semidirect
170. #13063311	C₂³	semidirect
171. #13063311	C₂³	semidirect
172. #13063311	C₂³	semidirect
173. #13063311	C₂³	semidirect
174. #13063311	C₂³	semidirect
175. #13063309	C₂³	semidirect
176. #13063308	C₂³	semidirect
177. #13063308	C₂³	semidirect
178. #13063307	C₂³	semidirect
179. #13063307	C₂³	semidirect
181. #13063306	C₂³	semidirect
182. #13063306	C₂³	semidirect
183. #13063306	C₂³	semidirect
184. #13063306	C₂³	semidirect
185. #13063306	C₂³	semidirect
186. #13063304	C₂³	semidirect
187. #13063304	C₂³	semidirect
188. #13063303	C₂³	semidirect
189. #13063303	C₂³	semidirect
190. #13063302	C₂³	semidirect
191. #13063302	C₂³	semidirect
192. #13063302	C₂³	semidirect
193. #13063302	C₂³	semidirect
194. #13063302	C₂³	semidirect
197. #13063297	C₂³	semidirect
198. #13063297	C₂³	semidirect
199. #13063297	C₂³	semidirect
200. #13063296	C₂³	semidirect
201. #13063296	C₂³	semidirect
203. #13063294	C₂³	semidirect
205. #13063293	C₂³	semidirect
206. #13063293	C₂³	semidirect
207. #13063290	C₂³	semidirect
208. D₄×Dic₄₃	C₂³	semidirect
209. D₄×Dic₄₃	C₂³	semidirect
210. D₄×Dic₄₃	C₂³	semidirect
211. C₄×C₂²⋊D₄₃	C₂³	semidirect
212. C₄×C₂²⋊D₄₃	C₂³	semidirect
213. (C₂²⋊D₄₃)⋊C₄	C₂³	semidirect
214. (C₂²⋊D₄₃)⋊C₄	C₂³	semidirect
215. #13063284	C₂³	semidirect
216. #13063283	C₂³	semidirect
217. #13063281	C₂³	semidirect
218. #13063281	C₂³	semidirect
219. #13063281	C₂³	semidirect
251. C₂×C₂²⋊Dic₄₃	C₂³	semidirect
252. C₂×C₂²⋊Dic₄₃	C₂³	semidirect
253. C₂×C₂²⋊Dic₄₃	C₂³	semidirect
254. C₂×C₂²⋊Dic₄₃	C₂³	semidirect
261. C₂²⋊C₄×D₄₃	C₂³	semidirect
269. C₂×C₄×Dic₄₃	C₂³	semidirect
284. C₂²×D₄×C₄₃	C₂³	semidirect
289. #123×C₄₃	C₂³	semidirect
290. #123×C₄₃	C₂³	semidirect
292. #121×C₄₃	C₂³	semidirect
295. #120×C₄₃	C₂³	semidirect
305. C₂×C₂²⋊C₄×C₄₃	C₂³	semidirect
605. C₂×#534	D₄₃	semidirect
614. C₂×C₄₃	#3545	semidirect
622. C₂³×D₄	C₂×D₄₃	semidirect
639. #534	C₂×D₄₃	semidirect
676. C₂×#123	C₂×D₄₃	semidirect
677. C₂×#123	C₂×D₄₃	semidirect
695. C₂×#121	C₂×D₄₃	semidirect
703. C₂×#120	C₂×D₄₃	semidirect
722. C₂²×C₂²⋊C₄	C₂×D₄₃	semidirect
724. C₄₃	C₂×#3545	semidirect
757. C₂²×D₄	C₂²×D₄₃	semidirect
803. #123	C₂²×D₄₃	semidirect
804. #123	C₂²×D₄₃	semidirect
822. #121	C₂²×D₄₃	semidirect
830. #120	C₂²×D₄₃	semidirect
895. C₂×C₂²⋊C₄	C₂²×D₄₃	semidirect
1192. C₂	#19148944	direct (N × H)

Maximal subgroups

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

subgroup	index
#19148944	2
C₂×#14583652	2
C₂×#14583644	2
C₂×#14583642	2
C₂×#14583613	2
C₂×#14583580	2
C₂×#14583577	2
C₂×#14583575	2
C₂×#14583543	2
C₂×#14583536	2
C₂×#14583517	2
C₂×#14583516	2
C₂×#14583484	2
C₂×#14583481	2
C₂×#14583471	2
C₂×#14583458	2
C₂×#14583426	2
C₂²×#13063312	2
C₂×C₄₃×#534	2
C₂×#3545	43

Subgroups — C2×#19148944 #26004348

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₂×#19148944 #26004348