Subgroups — C₂×#19148947 #26004351

Order 11008.

7430 conjugacy classes of subgroups.

The subgroup lattice has 1180 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#19148947	C₂	1	32	yes	maximal, direct product factor
2	C₂×#14583653	C₂	1	1	yes	maximal, characteristic, complemented
3	C₂×#14583647	C₂	1	1	yes	maximal, characteristic, complemented
4	C₂×#14583643	C₂	1	1	yes	maximal, characteristic, complemented
5	C₂×#14583641	C₂	1	1	yes	maximal, characteristic, complemented
6	C₂×#14583612	C₂	1	2	yes	maximal, complemented
7	C₂×#14583578	C₂	1	2	yes	maximal, complemented
8	C₂×#14583576	C₂	1	2	yes	maximal, complemented
9	C₂×#14583573	C₂	1	2	yes	maximal, complemented
10	C₂×#14583544	C₂	1	2	yes	maximal, complemented
11	C₂×#14583538	C₂	1	2	yes	maximal, complemented
12	C₂×#14583521	C₂	1	2	yes	maximal, complemented
13	C₂×#14583515	C₂	1	2	yes	maximal, complemented
14	C₂×#14583488	C₂	1	2	yes	maximal, complemented
15	C₂×#14583482	C₂	1	2	yes	maximal, complemented
16	C₂×#14583471	C₂	1	2	yes	maximal, complemented
17	C₂×#14583460	C₂	1	2	yes	maximal, complemented
18	C₂×#14583433	C₂	1	1	yes	maximal, characteristic, complemented
19	C₂²×#13063313	C₂	1	1	yes	maximal, characteristic, complemented
20	C₂×C₄₃×#529	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×D₁₇₂	C₂²	1	1	yes	characteristic
24	C₂²×D₄×D₄₃	C₂²	1	2	yes	complemented
25	#14583653	C₂²	1	16	yes	complemented
26	#14583647	C₂²	1	16	yes	complemented
27	#14583643	C₂²	1	16	yes	complemented
28	#14583641	C₂²	1	16	yes	complemented
29	#14583612	C₂²	1	32	yes	complemented
30	#14583578	C₂²	1	32	yes	complemented
31	#14583576	C₂²	1	32	yes	complemented
32	#14583573	C₂²	1	32	yes	complemented
33	#14583544	C₂²	1	32	yes	complemented
34	#14583538	C₂²	1	32	yes	complemented
35	#14583521	C₂²	1	32	yes	complemented
36	#14583515	C₂²	1	32	yes	complemented
37	#14583488	C₂²	1	32	yes	complemented
38	#14583482	C₂²	1	32	yes	complemented
39	#14583471	C₂²	1	32	yes	complemented
40	#14583460	C₂²	1	32	yes	complemented
41	C₂×#13063324	C₂²	1	2	yes	complemented
42	C₂×#13063324	C₂²	1	2	yes	complemented
43	#14583433	C₂²	1	16	yes	complemented
44	C₂×#13063320	C₂²	1	2	yes	complemented
45	C₂×#13063320	C₂²	1	2	yes	complemented
46	C₂×#13063320	C₂²	1	2	yes	complemented
47	C₂×#13063319	C₂²	1	2	yes	complemented
48	C₂×#13063319	C₂²	1	2	yes	complemented
49	C₂×#13063317	C₂²	1	1	yes	characteristic, complemented
50	C₂×#13063314	C₂²	1	2	yes	complemented
51	C₂×#13063313	C₂²	1	1	yes	characteristic
52	C₂×#13063313	C₂²	1	1	yes	characteristic
53	C₂×#13063313	C₂²	1	2	yes	complemented
54	C₂×#13063313	C₂²	1	1	yes	characteristic, complemented
55	C₂×#13063313	C₂²	1	2	yes	complemented
56	C₂×#13063313	C₂²	1	2	yes	complemented
57	C₂×#13063313	C₂²	1	1	yes	characteristic, complemented
58	C₂×#13063313	C₂²	1	1	yes	characteristic, complemented
59	C₂×#13063313	C₂²	1	16	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×#13063310	C₂²	1	2	yes	—
65	C₂×#13063310	C₂²	1	2	yes	complemented
66	C₂×#13063310	C₂²	1	2	yes	complemented
67	C₂×#13063310	C₂²	1	2	yes	complemented
68	C₂×#13063310	C₂²	1	2	yes	complemented
69	C₂×#13063309	C₂²	1	2	yes	complemented
70	C₂×#13063309	C₂²	1	2	yes	complemented
71	C₂×#13063308	C₂²	1	2	yes	complemented
72	C₂×#13063308	C₂²	1	2	yes	complemented
73	C₂×#13063307	C₂²	1	2	yes	complemented
74	C₂×#13063306	C₂²	1	2	yes	complemented
75	C₂×#13063305	C₂²	1	2	yes	complemented
76	C₂×#13063304	C₂²	1	1	yes	characteristic, complemented
77	C₂×#13063303	C₂²	1	2	yes	complemented
78	C₂×#13063303	C₂²	1	2	yes	complemented
79	C₂×#13063303	C₂²	1	2	yes	complemented
80	C₂×#13063303	C₂²	1	2	yes	complemented
81	C₂×#13063302	C₂²	1	2	yes	complemented
82	C₂×#13063302	C₂²	1	2	yes	complemented
83	C₂×#13063301	C₂²	1	2	yes	complemented
84	C₂×#13063300	C₂²	1	2	yes	—
85	C₂×#13063300	C₂²	1	2	yes	complemented
86	C₂×#13063300	C₂²	1	2	yes	complemented
87	C₂×#13063299	C₂²	1	1	yes	characteristic
88	C₂×#13063299	C₂²	1	2	yes	complemented
89	C₂×#13063298	C₂²	1	2	yes	—
90	C₂×#13063298	C₂²	1	2	yes	complemented
91	C₂×#13063298	C₂²	1	2	yes	complemented
92	C₂×#13063297	C₂²	1	2	yes	complemented
93	C₂×#13063295	C₂²	1	2	yes	—
94	C₂×#13063295	C₂²	1	2	yes	—
95	C₂×#13063295	C₂²	1	2	yes	complemented
96	C₂×#13063295	C₂²	1	2	yes	complemented
97	C₂×#13063293	C₂²	1	2	yes	—
98	C₂×#13063293	C₂²	1	2	yes	complemented
99	C₂×C₄×Dic₈₆	C₂²	1	1	yes	characteristic, complemented
100	C₂×C₄×D₁₇₂	C₂²	1	2	yes	complemented
101	C₂×C₄×D₁₇₂	C₂²	1	1	yes	characteristic, complemented
102	C₂×#13063287	C₂²	1	2	yes	complemented
103	C₂×C₄×C₂²⋊D₄₃	C₂²	1	2	yes	complemented
104	C₂×C₄×C₂²⋊D₄₃	C₂²	1	2	yes	complemented
105	C₂×(C₂²⋊D₄₃)⋊C₄	C₂²	1	2	yes	complemented
106	C₂×#13063283	C₂²	1	2	yes	complemented
107	C₂×#13063282	C₂²	1	2	yes	complemented
108	C₂×#13063282	C₂²	1	2	yes	complemented
109	C₂×#13063281	C₂²	1	2	yes	complemented
110	C₂²×(C₂×D₄₃)⋊C₄	C₂²	1	2	yes	complemented
111	C₂²×(C₂×D₄₃)⋊C₄	C₂²	1	2	yes	complemented
112	C₂²×(C₂×D₄₃)⋊C₄	C₂²	1	2	yes	complemented
113	C₂×C₂²⋊C₄×D₄₃	C₂²	1	2	yes	complemented
114	C₂×C₂²⋊C₄×D₄₃	C₂²	1	2	yes	complemented
115	C₄₃×#529	C₂²	1	16	yes	complemented
116	C₂×#126×C₄₃	C₂²	1	2	yes	complemented
117	C₂×#125×C₄₃	C₂²	1	1	yes	characteristic, complemented
118	C₂×#124×C₄₃	C₂²	1	1	yes	characteristic, complemented
119	C₂×#123×C₄₃	C₂²	1	2	yes	complemented
120	C₂×C₂²⋊Q₈×C₄₃	C₂²	1	1	yes	characteristic, complemented
121	C₂×#121×C₄₃	C₂²	1	1	yes	characteristic
122	C₂×C₄×Q₈×C₄₃	C₂²	1	1	yes	characteristic, complemented
123	C₂×C₄×D₄×C₄₃	C₂²	1	2	yes	complemented
124	C₂×C₄×D₄×C₄₃	C₂²	1	1	yes	characteristic, complemented
125	C₂×#117×C₄₃	C₂²	1	2	yes	complemented
126	C₂²×C₄²×C₄₃	C₂²	1	1	yes	characteristic, complemented
127	C₂⁴×D₄₃	C₂³	1	2	yes	—
128	C₂⁴×D₄₃	C₂³	1	2	yes	—
129	C₂×#10621900	—	4	8	no	—
130	C₂×#10621900	C₂³	1	16	yes	—
131	C₂²×Dic₈₆	—	4	4	no	—
132	C₂²×Dic₈₆	C₂³	1	1	yes	characteristic
133	C₂²×Dic₈₆	C₂³	1	1	yes	characteristic
134	C₂²×Dic₈₆	C₂³	1	2	yes	—
135	C₂²×Dic₈₆	C₂³	1	2	yes	—
136	C₂²×Dic₈₆	C₂³	1	1	yes	characteristic
137	C₂²×Dic₈₆	C₂³	1	8	yes	complemented
138	C₂²×D₁₇₂	—	4	4	no	—
139	C₂²×D₁₇₂	C₂³	1	2	yes	—
140	C₂²×D₁₇₂	C₂³	1	2	yes	—
141	C₂²×D₁₇₂	C₂³	1	1	yes	characteristic
142	C₂²×D₁₇₂	C₂³	1	1	yes	characteristic
143	C₂²×D₁₇₂	C₂³	1	2	yes	—
144	C₂²×D₁₇₂	C₂³	1	1	yes	characteristic
145	C₂²×D₁₇₂	C₂³	1	2	yes	—
146	C₂²×D₁₇₂	C₂³	1	8	yes	—
147	C₂²×C₂²⋊D₄₃	C₂³	1	2	yes	—
148	C₂²×C₂²⋊D₄₃	C₂³	1	2	yes	—
149	C₂²×C₂²⋊D₄₃	C₂³	1	2	yes	—
150	C₂²×C₂²⋊D₄₃	C₂³	1	2	yes	—
151	C₂²×C₂²⋊D₄₃	C₂³	1	2	yes	—
152	C₂×D₄×D₄₃	—	4	8	no	—
153	C₂×D₄×D₄₃	C₂³	1	16	yes	complemented
154	C₂³×Dic₄₃	C₂³	1	2	yes	—
155	C₂³×Dic₄₃	C₂³	1	2	yes	—
156	C₂²×C₄×D₄₃	C₂³	1	2	yes	—
157	C₂²×C₄×D₄₃	C₂³	1	2	yes	—
158	C₂²×C₄×D₄₃	C₂³	1	2	yes	—
159	C₂²×C₄×D₄₃	C₂³	1	2	yes	—
160	C₂²×C₄×D₄₃	C₂³	1	2	yes	—
161	#13063324	C₂³	1	16	yes	complemented
162	#13063324	C₂³	1	16	yes	complemented
163	#13063320	C₂³	1	16	yes	complemented
164	#13063320	C₂³	1	16	yes	complemented
165	#13063320	C₂³	1	16	yes	complemented
166	#13063319	C₂³	1	16	yes	complemented
167	#13063319	C₂³	1	16	yes	complemented
168	#13063317	C₂³	1	8	yes	complemented
169	#13063314	C₂³	1	16	yes	complemented
170	#13063313	C₂³	1	8	yes	—
171	#13063313	C₂³	1	8	yes	—
172	#13063313	C₂³	1	8	yes	complemented
173	#13063313	C₂³	1	16	yes	complemented
174	#13063313	C₂³	1	8	yes	complemented
175	#13063313	C₂³	1	8	yes	complemented
176	#13063313	C₂³	1	16	yes	complemented
177	#13063313	C₂³	1	16	yes	complemented
178	#13063311	C₂³	1	16	yes	complemented
179	#13063311	C₂³	1	16	yes	complemented
180	#13063311	C₂³	1	16	yes	complemented
181	#13063311	C₂³	1	16	yes	complemented
182	#13063310	C₂³	1	16	yes	—
183	#13063310	C₂³	1	16	yes	complemented
184	#13063310	C₂³	1	16	yes	complemented
185	#13063310	C₂³	1	16	yes	complemented
186	#13063310	C₂³	1	16	yes	complemented
187	#13063309	C₂³	1	16	yes	complemented
188	#13063309	C₂³	1	16	yes	complemented
189	#13063308	C₂³	1	16	yes	complemented
190	#13063308	C₂³	1	16	yes	complemented
191	#13063307	C₂³	1	16	yes	complemented
192	#13063306	C₂³	1	16	yes	complemented
193	#13063305	C₂³	1	16	yes	complemented
194	#13063304	C₂³	1	8	yes	complemented
195	#13063303	C₂³	1	16	yes	complemented
196	#13063303	C₂³	1	16	yes	complemented
197	#13063303	C₂³	1	16	yes	complemented
198	#13063303	C₂³	1	16	yes	complemented
199	#13063302	C₂³	1	16	yes	complemented
200	#13063302	C₂³	1	16	yes	complemented
201	#13063301	C₂³	1	16	yes	complemented
202	#13063300	C₂³	1	16	yes	—
203	#13063300	C₂³	1	16	yes	complemented
204	#13063300	C₂³	1	16	yes	complemented
205	#13063299	C₂³	1	8	yes	—
206	#13063299	C₂³	1	16	yes	complemented
207	#13063298	C₂³	1	16	yes	—
208	#13063298	C₂³	1	16	yes	complemented
209	#13063298	C₂³	1	16	yes	complemented
210	#13063297	C₂³	1	16	yes	complemented
211	#13063295	C₂³	1	16	yes	—
212	#13063295	C₂³	1	16	yes	—
213	#13063295	C₂³	1	16	yes	complemented
214	#13063295	C₂³	1	16	yes	complemented
215	#13063293	C₂³	1	16	yes	—
216	#13063293	C₂³	1	16	yes	complemented
217	C₄×Dic₈₆	C₂³	1	8	yes	complemented
218	C₄×D₁₇₂	C₂³	1	16	yes	complemented
219	C₄×D₁₇₂	C₂³	1	8	yes	complemented
220	#13063287	C₂³	1	16	yes	complemented
221	C₄×C₂²⋊D₄₃	C₂³	1	16	yes	complemented
222	C₄×C₂²⋊D₄₃	C₂³	1	16	yes	complemented
223	(C₂²⋊D₄₃)⋊C₄	C₂³	1	16	yes	complemented
224	#13063283	C₂³	1	16	yes	complemented
225	#13063282	C₂³	1	16	yes	complemented
226	#13063282	C₂³	1	16	yes	complemented
227	#13063281	C₂³	1	16	yes	complemented
228	C₂×C₄⋊Dic₄₃	C₂³	1	2	yes	—
229	C₂×C₄⋊Dic₄₃	C₂³	1	2	yes	—
230	C₂×C₄⋊Dic₄₃	C₂³	1	1	yes	characteristic
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×C₂²⋊Dic₄₃	C₂³	1	2	yes	—
241	C₂×C₂²⋊Dic₄₃	C₂³	1	2	yes	—
242	C₂×C₂²⋊Dic₄₃	C₂³	1	2	yes	—
243	C₂×(C₂×D₄₃)⋊C₄	C₂³	1	2	yes	—
244	C₂×(C₂×D₄₃)⋊C₄	C₂³	1	2	yes	—
245	C₂×(C₂×D₄₃)⋊C₄	C₂³	1	2	yes	—
246	C₂×(C₂×D₄₃)⋊C₄	C₂³	1	2	yes	—
247	C₂×(C₂×D₄₃)⋊C₄	C₂³	1	2	yes	—
248	C₂×(C₂×D₄₃)⋊C₄	C₂³	1	2	yes	—
249	C₂×(C₂×D₄₃)⋊C₄	C₂³	1	2	yes	—
250	C₂×(C₂×D₄₃)⋊C₄	C₂³	1	2	yes	—
251	C₂×(C₂×D₄₃)⋊C₄	C₂³	1	2	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	C₂×(C₂×D₄₃)⋊C₄	C₂³	1	16	yes	complemented
264	C₂×(C₂×D₄₃)⋊C₄	C₂³	1	16	yes	complemented
265	C₂×(C₂×D₄₃)⋊C₄	C₂³	1	16	yes	complemented
266	C₂²⋊C₄×D₄₃	C₂³	1	16	yes	complemented
267	C₂²⋊C₄×D₄₃	C₂³	1	16	yes	complemented
268	C₂×C₄×Dic₄₃	C₂³	1	2	yes	—
269	C₂×C₄×Dic₄₃	C₂³	1	2	yes	—
270	C₂×C₄×Dic₄₃	C₂³	1	2	yes	—
271	C₂²×Q₈×C₄₃	C₂³	1	1	yes	characteristic
272	C₂²×D₄×C₄₃	C₂³	1	2	yes	—
273	C₂²×D₄×C₄₃	C₂³	1	1	yes	characteristic
274	C₂³×C₄×C₄₃	C₂³	1	1	yes	characteristic
275	C₂³×C₄×C₄₃	C₂³	1	1	yes	characteristic
276	C₂³×C₄×C₄₃	C₂³	1	1	yes	characteristic
277	C₂³×C₄×C₄₃	C₂³	1	2	yes	—
278	#126×C₄₃	C₂³	1	16	yes	complemented
279	#125×C₄₃	C₂³	1	8	yes	complemented
280	#124×C₄₃	C₂³	1	8	yes	complemented
281	#123×C₄₃	C₂³	1	16	yes	complemented
282	C₂²⋊Q₈×C₄₃	C₂³	1	8	yes	complemented
283	#121×C₄₃	C₂³	1	8	yes	—
284	C₄×Q₈×C₄₃	C₂³	1	8	yes	complemented
285	C₄×D₄×C₄₃	C₂³	1	16	yes	complemented
286	C₄×D₄×C₄₃	C₂³	1	8	yes	complemented
287	#117×C₄₃	C₂³	1	16	yes	complemented
288	C₂×C₄⋊C₄×C₄₃	C₂³	1	2	yes	—
289	C₂×C₄⋊C₄×C₄₃	C₂³	1	2	yes	—
290	C₂×C₄⋊C₄×C₄₃	C₂³	1	1	yes	characteristic
291	C₂×C₄⋊C₄×C₄₃	C₂³	1	2	yes	—
292	C₂×C₄⋊C₄×C₄₃	C₂³	1	1	yes	characteristic
293	C₂×C₄⋊C₄×C₄₃	C₂³	1	2	yes	—
294	C₂×C₂²⋊C₄×C₄₃	C₂³	1	2	yes	—
295	C₂×C₂²⋊C₄×C₄₃	C₂³	1	2	yes	—
296	C₂×C₂²⋊C₄×C₄₃	C₂³	1	2	yes	—
297	C₂×C₂²⋊C₄×C₄₃	C₂³	1	2	yes	—
298	C₂×C₂²⋊C₄×C₄₃	C₂³	1	2	yes	—
299	C₂×C₄²×C₄₃	C₂³	1	1	yes	characteristic
300	C₂×C₄²×C₄₃	C₂³	1	1	yes	characteristic
301	C₂×C₄²×C₄₃	C₂³	1	1	yes	characteristic
302	C₂×C₄²×C₄₃	C₂³	1	1	yes	characteristic
303	C₂×C₄²×C₄₃	C₂³	1	2	yes	—
304	C₂×C₄²×C₄₃	C₂³	1	8	yes	complemented
305	C₂⁴×C₄₃	C₂⁴	1	2	yes	—
306	C₂⁴×C₄₃	C₂⁴	1	1	yes	characteristic
307	C₂³×D₄₃	—	2	8	no	—
308	C₂³×D₄₃	—	4	4	no	—
309	C₂³×D₄₃	—	4	4	no	—
310	C₂³×D₄₃	—	4	4	no	—
311	C₂³×D₄₃	—	4	4	no	—
312	C₂³×D₄₃	—	4	4	no	—
313	C₂³×D₄₃	C₂⁴	1	2	yes	—
314	C₂³×D₄₃	C₂⁴	1	2	yes	—
315	C₂³×D₄₃	C₂⁴	1	2	yes	—
316	C₂³×D₄₃	C₂⁴	1	8	yes	—
317	C₂³×D₄₃	C₂⁴	1	8	yes	—
318	C₂×Q₈×C₄₃	—	4	2	no	—
319	C₂×Q₈×C₄₃	C₂⁴	1	4	yes	—
320	C₂×D₄×C₄₃	—	2	8	no	—
321	C₂×D₄×C₄₃	—	4	2	no	—
322	C₂×D₄×C₄₃	C₂⁴	1	8	yes	—
323	C₂×D₄×C₄₃	C₂⁴	1	4	yes	—
324	C₂²×C₄×C₄₃	—	2	4	no	—
325	C₂²×C₄×C₄₃	—	4	2	no	—
326	C₂²×C₄×C₄₃	—	4	2	no	—
327	C₂²×C₄×C₄₃	—	4	4	no	—
328	C₂²×C₄×C₄₃	C₂⁴	1	1	yes	characteristic
329	C₂²×C₄×C₄₃	C₂⁴	1	1	yes	characteristic
330	C₂²×C₄×C₄₃	C₂⁴	1	1	yes	characteristic
331	C₂²×C₄×C₄₃	C₂⁴	1	1	yes	characteristic
332	C₂²×C₄×C₄₃	C₂⁴	1	1	yes	characteristic
333	C₂²×C₄×C₄₃	C₂⁴	1	1	yes	characteristic
334	C₂²×C₄×C₄₃	C₂⁴	1	2	yes	—
335	C₂²×C₄×C₄₃	C₂⁴	1	2	yes	—
336	C₂²×C₄×C₄₃	C₂⁴	1	4	yes	—
337	C₂²×C₄×C₄₃	C₂⁴	1	2	yes	—
338	C₂²×C₄×C₄₃	C₂⁴	1	4	yes	—
339	C₂²×C₄×C₄₃	C₂⁴	1	4	yes	—
340	C₂²×C₄×C₄₃	C₂⁴	1	8	yes	—
341	C₂×C₂²⋊D₄₃	—	2	8	no	—
342	C₂×C₂²⋊D₄₃	—	4	4	no	—
343	C₂×C₂²⋊D₄₃	—	4	4	no	—
344	C₂×C₂²⋊D₄₃	—	4	4	no	—
345	C₂×C₂²⋊D₄₃	—	4	4	no	—
346	C₂×C₂²⋊D₄₃	C₂⁴	1	8	yes	—
347	C₂×C₂²⋊D₄₃	C₂⁴	1	8	yes	—
348	C₂×C₂²⋊D₄₃	C₂⁴	1	8	yes	—
349	C₂×C₂²⋊D₄₃	C₂⁴	1	8	yes	—
350	C₂×C₂²⋊D₄₃	C₂⁴	1	8	yes	—
351	C₂²×Dic₄₃	—	2	8	no	—
352	C₂²×Dic₄₃	—	4	4	no	—
353	C₂²×Dic₄₃	C₂⁴	1	2	yes	—
354	C₂²×Dic₄₃	C₂⁴	1	2	yes	—
355	C₂²×Dic₄₃	C₂⁴	1	2	yes	—
356	C₂²×Dic₄₃	C₂⁴	1	2	yes	—
357	C₂²×Dic₄₃	C₂⁴	1	2	yes	—
358	C₂²×Dic₄₃	C₂⁴	1	8	yes	—
359	C₂²×Dic₄₃	C₂⁴	1	8	yes	—
360	#10621900	—	4	32	no	—
361	D₄×D₄₃	—	4	32	no	—
362	C₂×D₁₇₂	—	4	4	no	—
363	C₂×D₁₇₂	—	4	2	no	—
364	C₂×D₁₇₂	—	4	4	no	—
365	C₂×D₁₇₂	—	4	2	no	—
366	C₂×D₁₇₂	—	4	16	no	—
367	C₂×D₁₇₂	—	4	4	no	—
368	C₂×D₁₇₂	—	4	4	no	—
369	C₂×D₁₇₂	—	4	2	no	—
370	C₂×D₁₇₂	C₂⁴	1	8	yes	—
371	C₂×D₁₇₂	C₂⁴	1	8	yes	—
372	C₂×D₁₇₂	C₂⁴	1	4	yes	—
373	C₂×D₁₇₂	C₂⁴	1	4	yes	—
374	C₂×D₁₇₂	C₂⁴	1	8	yes	—
375	C₂×D₁₇₂	C₂⁴	1	4	yes	—
376	C₂×D₁₇₂	C₂⁴	1	8	yes	—
377	C₂×C₄×D₄₃	—	4	4	no	—
378	C₂×C₄×D₄₃	—	4	4	no	—
379	C₂×C₄×D₄₃	—	4	4	no	—
380	C₂×C₄×D₄₃	—	4	4	no	—
381	C₂×C₄×D₄₃	—	4	4	no	—
382	C₂×C₄×D₄₃	C₂⁴	1	8	yes	—
383	C₂×C₄×D₄₃	C₂⁴	1	8	yes	—
384	C₂×C₄×D₄₃	C₂⁴	1	8	yes	—
385	C₂×C₄×D₄₃	C₂⁴	1	8	yes	—
386	C₂×C₄×D₄₃	C₂⁴	1	8	yes	—
387	C₂×Dic₈₆	—	4	2	no	—
388	C₂×Dic₈₆	—	4	4	no	—
389	C₂×Dic₈₆	—	4	2	no	—
390	C₂×Dic₈₆	—	4	16	no	—
391	C₂×Dic₈₆	—	4	2	no	—
392	C₂×Dic₈₆	—	4	4	no	—
393	C₂×Dic₈₆	C₂⁴	1	4	yes	—
394	C₂×Dic₈₆	C₂⁴	1	4	yes	—
395	C₂×Dic₈₆	C₂⁴	1	8	yes	—
396	C₂×Dic₈₆	C₂⁴	1	8	yes	—
397	C₂×Dic₈₆	C₂⁴	1	4	yes	—
398	C₄⋊C₄×C₄₃	C₂⁴	1	8	yes	—
399	C₄⋊C₄×C₄₃	C₂⁴	1	8	yes	—
400	C₄⋊C₄×C₄₃	C₂⁴	1	4	yes	—
401	C₄⋊C₄×C₄₃	C₂⁴	1	8	yes	—
402	C₄⋊C₄×C₄₃	C₂⁴	1	4	yes	—
403	C₄⋊C₄×C₄₃	C₂⁴	1	8	yes	—
404	C₂²⋊C₄×C₄₃	C₂⁴	1	8	yes	—
405	C₂²⋊C₄×C₄₃	C₂⁴	1	8	yes	—
406	C₂²⋊C₄×C₄₃	C₂⁴	1	8	yes	—
407	C₂²⋊C₄×C₄₃	C₂⁴	1	8	yes	—
408	C₂²⋊C₄×C₄₃	C₂⁴	1	8	yes	—
409	C₄²×C₄₃	C₂⁴	1	4	yes	—
410	C₄²×C₄₃	C₂⁴	1	4	yes	—
411	C₄²×C₄₃	C₂⁴	1	4	yes	—
412	C₄²×C₄₃	C₂⁴	1	4	yes	—
413	C₄²×C₄₃	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	(C₂×D₄₃)⋊C₄	C₂⁴	1	8	yes	—
418	(C₂×D₄₃)⋊C₄	C₂⁴	1	8	yes	—
419	(C₂×D₄₃)⋊C₄	C₂⁴	1	8	yes	—
420	(C₂×D₄₃)⋊C₄	C₂⁴	1	8	yes	—
421	(C₂×D₄₃)⋊C₄	C₂⁴	1	8	yes	—
422	(C₂×D₄₃)⋊C₄	C₂⁴	1	8	yes	—
423	(C₂×D₄₃)⋊C₄	C₂⁴	1	8	yes	—
424	(C₂×D₄₃)⋊C₄	C₂⁴	1	8	yes	—
425	(C₂×D₄₃)⋊C₄	C₂⁴	1	8	yes	—
426	(C₂×D₄₃)⋊C₄	C₂⁴	1	8	yes	—
427	(C₂×D₄₃)⋊C₄	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	(C₂×D₄₃)⋊C₄	C₂⁴	1	8	yes	—
435	(C₂×D₄₃)⋊C₄	C₂⁴	1	8	yes	—
436	(C₂×D₄₃)⋊C₄	C₂⁴	1	8	yes	—
437	C₄⋊Dic₄₃	C₂⁴	1	8	yes	—
438	C₄⋊Dic₄₃	C₂⁴	1	8	yes	—
439	C₄⋊Dic₄₃	C₂⁴	1	4	yes	—
440	C₄⋊Dic₄₃	C₂⁴	1	4	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	Dic₄₃⋊C₄	C₂⁴	1	8	yes	—
449	C₄×Dic₄₃	C₂⁴	1	8	yes	—
450	C₄×Dic₄₃	C₂⁴	1	8	yes	—
451	C₄×Dic₄₃	C₂⁴	1	8	yes	—
452	C₂³×C₄₃	—	2	2	no	—
453	C₂³×C₄₃	—	2	2	no	—
454	C₂³×C₄₃	—	2	4	no	—
455	C₂³×C₄₃	—	2	4	no	—
456	C₂³×C₄₃	—	2	4	no	—
457	C₂³×C₄₃	H(5,𝔽₂)	1	4	yes	—
458	C₂³×C₄₃	C₂⁵	1	4	yes	—
459	C₂³×C₄₃	C₂⁵	1	2	yes	—
460	C₂³×C₄₃	C₂⁵	1	1	yes	characteristic
461	C₂²×D₄₃	—	2	4	no	—
462	C₂²×D₄₃	—	2	4	no	—
463	C₂²×D₄₃	—	2	4	no	—
464	C₂²×D₄₃	—	2	4	no	—
465	C₂²×D₄₃	—	2	4	no	—
466	C₂²×D₄₃	—	2	4	no	—
467	C₂²×D₄₃	—	2	4	no	—
468	C₂²×D₄₃	—	2	4	no	—
469	C₂²×D₄₃	—	2	4	no	—
470	C₂²×D₄₃	—	2	16	no	—
471	C₂²×D₄₃	—	4	8	no	—
472	C₂²×D₄₃	—	4	8	no	—
473	C₂²×D₄₃	—	4	8	no	—
474	C₂²×D₄₃	—	4	8	no	—
475	C₂²×D₄₃	—	4	8	no	—
476	C₂²×D₄₃	—	8	16	no	—
477	C₂²×D₄₃	—	8	16	no	—
478	C₂²×D₄₃	C₂⁵	1	4	yes	—
479	C₂²×D₄₃	C₂⁵	1	4	yes	—
480	C₂²×D₄₃	C₂⁵	1	4	yes	—
481	Q₈×C₄₃	—	4	4	no	—
482	D₄×C₄₃	—	2	16	no	—
483	D₄×C₄₃	—	4	4	no	—
484	C₂×C₄×C₄₃	—	2	8	no	—
485	C₂×C₄×C₄₃	—	2	2	no	—
486	C₂×C₄×C₄₃	—	2	2	no	—
487	C₂×C₄×C₄₃	—	2	4	no	—
488	C₂×C₄×C₄₃	—	2	2	no	—
489	C₂×C₄×C₄₃	—	2	2	no	—
490	C₂×C₄×C₄₃	—	2	4	no	—
491	C₂×C₄×C₄₃	—	2	4	no	—
492	C₂×C₄×C₄₃	—	2	2	no	—
493	C₂×C₄×C₄₃	—	2	2	no	—
494	C₂×C₄×C₄₃	—	4	4	no	—
495	C₂×C₄×C₄₃	—	4	4	no	—
496	C₂×C₄×C₄₃	—	4	8	no	—
497	C₂×C₄×C₄₃	C₂⁵	1	2	yes	—
498	C₂×C₄×C₄₃	C₂⁵	1	4	yes	—
499	C₂×C₄×C₄₃	C₂⁵	1	4	yes	—
500	C₂×C₄×C₄₃	C₂⁵	1	2	yes	—
501	C₂×C₄×C₄₃	C₂⁵	1	2	yes	—
502	C₂×C₄×C₄₃	C₂⁵	1	2	yes	—
503	C₂×C₄×C₄₃	C₂⁵	1	2	yes	—
504	C₂×C₄×C₄₃	C₂⁵	1	4	yes	—
505	C₂×C₄×C₄₃	C₂⁵	1	2	yes	—
506	C₂²⋊D₄₃	—	2	16	no	—
507	C₂²⋊D₄₃	—	4	8	no	—
508	C₂²⋊D₄₃	—	4	8	no	—
509	C₂²⋊D₄₃	—	4	8	no	—
510	C₂²⋊D₄₃	—	4	8	no	—
511	C₂×Dic₄₃	—	2	4	no	—
512	C₂×Dic₄₃	—	2	4	no	—
513	C₂×Dic₄₃	—	2	16	no	—
514	C₂×Dic₄₃	—	2	4	no	—
515	C₂×Dic₄₃	—	2	4	no	—
516	C₂×Dic₄₃	—	2	4	no	—
517	C₂×Dic₄₃	—	4	8	no	—
518	C₂×Dic₄₃	C₂⁵	1	4	yes	—
519	C₂×Dic₄₃	C₂⁵	1	4	yes	—
520	C₂×Dic₄₃	C₂⁵	1	4	yes	—
521	C₂×Dic₄₃	C₂⁵	1	4	yes	—
522	C₂×Dic₄₃	C₂⁵	1	4	yes	—
523	D₁₇₂	—	4	4	no	—
524	D₁₇₂	—	4	8	no	—
525	D₁₇₂	—	4	4	no	—
526	D₁₇₂	—	4	4	no	—
527	D₁₇₂	—	4	8	no	—
528	D₁₇₂	—	4	8	no	—
529	D₁₇₂	—	4	8	no	—
530	C₄×D₄₃	—	4	8	no	—
531	C₄×D₄₃	—	4	8	no	—
532	C₄×D₄₃	—	4	8	no	—
533	C₄×D₄₃	—	4	8	no	—
534	C₄×D₄₃	—	4	8	no	—
535	Dic₈₆	—	4	4	no	—
536	Dic₈₆	—	4	8	no	—
537	Dic₈₆	—	4	4	no	—
538	Dic₈₆	—	4	4	no	—
539	Dic₈₆	—	4	8	no	—
540	C₂×#3545	—	43	1	no	maximal, Sylow
541	C₂²×C₄₃	—	2	2	no	—
542	C₂²×C₄₃	—	2	2	no	—
543	C₂²×C₄₃	—	2	8	no	—
544	C₂²×C₄₃	—	2	4	no	—
545	C₂²×C₄₃	—	2	4	no	—
546	C₂²×C₄₃	—	2	4	no	—
547	C₂²×C₄₃	—	4	8	no	—
548	C₂²×C₄₃	C₂×H(5,𝔽₂)	1	4	yes	—
549	C₂²×C₄₃	C₂×H(5,𝔽₂)	1	2	yes	—
550	C₂²×C₄₃	#585	1	2	yes	—
551	C₂²×C₄₃	#585	1	2	yes	—
552	C₂²×C₄₃	C₂⁶	1	1	yes	characteristic
553	C₂×D₄₃	—	2	4	no	—
554	C₂×D₄₃	—	2	4	no	—
555	C₂×D₄₃	—	2	4	no	—
556	C₂×D₄₃	—	2	4	no	—
557	C₂×D₄₃	—	2	4	no	—
558	C₂×D₄₃	—	2	4	no	—
559	C₂×D₄₃	—	2	4	no	—
560	C₂×D₄₃	—	2	4	no	—
561	C₂×D₄₃	—	2	4	no	—
562	C₂×D₄₃	—	4	8	no	—
563	C₂×D₄₃	—	4	8	no	—
564	C₂×D₄₃	—	4	8	no	—
565	C₂×D₄₃	—	8	16	no	—
566	C₂×D₄₃	—	8	16	no	—
567	C₄×C₄₃	—	2	2	no	—
568	C₄×C₄₃	—	2	2	no	—
569	C₄×C₄₃	—	2	4	no	—
570	C₄×C₄₃	—	2	2	no	—
571	C₄×C₄₃	—	2	2	no	—
572	C₄×C₄₃	—	2	4	no	—
573	C₄×C₄₃	—	2	4	no	—
574	C₄×C₄₃	—	2	2	no	—
575	C₄×C₄₃	—	2	2	no	—
576	Dic₄₃	—	2	4	no	—
577	Dic₄₃	—	2	4	no	—
578	Dic₄₃	—	2	4	no	—
579	Dic₄₃	—	2	4	no	—
580	Dic₄₃	—	2	4	no	—
581	#3545	—	43	32	no	—
582	C₂×#563	—	43	1	no	—
583	C₂×#562	—	43	1	no	—
584	C₂×#562	—	43	1	no	—
585	C₂×H(3,𝔽₄)	—	43	1	no	—
586	C₂×#555	—	43	2	no	—
587	C₂×#551	—	43	2	no	—
588	C₂×#551	—	43	2	no	—
589	C₂×#551	—	43	2	no	—
590	C₂×#546	—	43	2	no	—
591	C₂×#546	—	43	2	no	—
592	C₂×#542	—	43	2	no	—
593	C₂×#542	—	43	2	no	—
594	C₂×#538	—	43	2	no	—
595	C₂×#538	—	43	2	no	—
596	C₂×#536	—	43	2	no	—
597	C₂×#534	—	43	2	no	—
598	C₂×#529	—	43	1	no	—
599	C₂×#529	D₄₃	1	1	yes	characteristic, complemented
600	C₂²×#124	—	43	1	no	—
601	C₂×C₄₃	—	2	4	no	—
602	C₂×C₄₃	—	4	4	no	—
603	C₂×C₄₃	#3545	1	4	yes	complemented
604	C₂×C₄₃	C₂²×H(5,𝔽₂)	1	1	yes	characteristic
605	C₂×C₄₃	C₂×#585	1	1	yes	characteristic
606	C₂×C₄₃	C₂×#585	1	1	yes	characteristic
607	D₄₃	—	4	4	no	—
608	D₄₃	—	4	4	no	—
609	D₄₃	—	4	4	no	—
610	C₂²×#41	—	43	2	no	—
611	C₂³×Q₈	—	43	1	no	—
612	C₂³×D₄	—	43	2	no	—
613	C₂³×D₄	—	43	1	no	—
614	#563	—	43	16	no	—
615	#562	—	43	16	no	—
616	#562	—	43	16	no	—
617	H(3,𝔽₄)	—	43	16	no	—
618	#555	—	43	32	no	—
619	#551	—	43	32	no	—
620	#551	—	43	32	no	—
621	#551	—	43	32	no	—
622	#546	—	43	32	no	—
623	#546	—	43	32	no	—
624	#542	—	43	32	no	—
625	#542	—	43	32	no	—
626	#538	—	43	32	no	—
627	#538	—	43	32	no	—
628	#536	—	43	32	no	—
629	#534	—	43	32	no	—
630	C₂×C₄⋊Q₈	—	43	2	no	—
631	C₂×C₄⋊Q₈	—	43	2	no	—
632	#529	—	43	16	no	—
633	#529	C₂×D₄₃	1	16	yes	complemented
634	C₂×#126	—	43	2	no	—
635	C₂×#126	—	43	2	no	—
636	C₂×#126	—	43	2	no	—
637	C₂×#126	—	43	2	no	—
638	C₂×#126	—	43	2	no	—
639	C₂×#126	C₂×D₄₃	1	2	yes	complemented
640	C₂×#125	—	43	1	no	—
641	C₂×#125	C₂×D₄₃	1	1	yes	characteristic, complemented
642	C₂×#124	—	43	2	no	—
643	C₂×#124	—	43	2	no	—
644	C₂×#124	—	43	2	no	—
645	C₂×#124	—	43	2	no	—
646	C₂×#124	—	43	2	no	—
647	C₂×#124	—	43	1	no	—
648	C₂×#124	—	43	1	no	—
649	C₂×#124	—	43	2	no	—
650	C₂×#124	—	43	2	no	—
651	C₂×#124	—	43	1	no	—
652	C₂×#124	—	43	1	no	—
653	C₂×#124	—	43	1	no	—
654	C₂×#124	—	43	2	no	—
655	C₂×#124	—	43	16	no	—
656	C₂×#124	C₂×D₄₃	1	1	yes	characteristic, complemented
657	C₂×#123	—	43	2	no	—
658	C₂×#123	—	43	2	no	—
659	C₂×#123	—	43	2	no	—
660	C₂×#123	—	43	2	no	—
661	C₂×#123	—	43	2	no	—
662	C₂×#123	—	43	2	no	—
663	C₂×#123	—	43	2	no	—
664	C₂×#123	—	43	2	no	—
665	C₂×#123	—	43	2	no	—
666	C₂×#123	—	43	2	no	—
667	C₂×#123	—	43	2	no	—
668	C₂×#123	C₂×D₄₃	1	2	yes	complemented
669	C₂×C₂²⋊Q₈	—	43	2	no	—
670	C₂×C₂²⋊Q₈	—	43	1	no	—
671	C₂×C₂²⋊Q₈	—	43	2	no	—
672	C₂×C₂²⋊Q₈	—	43	2	no	—
673	C₂×C₂²⋊Q₈	—	43	2	no	—
674	C₂×C₂²⋊Q₈	—	43	2	no	—
675	C₂×C₂²⋊Q₈	—	43	2	no	—
676	C₂×C₂²⋊Q₈	—	43	2	no	—
677	C₂×C₂²⋊Q₈	—	43	2	no	—
678	C₂×C₂²⋊Q₈	C₂×D₄₃	1	1	yes	characteristic, complemented
679	C₂×#121	—	43	2	no	—
680	C₂×#121	—	43	1	no	—
681	C₂×#121	—	43	2	no	—
682	C₂×#121	—	43	2	no	—
683	C₂×#121	—	43	2	no	—
684	C₂×#121	—	43	2	no	—
685	C₂×#121	—	43	2	no	—
686	C₂×#121	—	43	2	no	—
687	C₂×#121	—	43	2	no	—
688	C₂×#121	C₂×D₄₃	1	1	yes	characteristic
689	C₂×#120	—	43	2	no	—
690	C₂×#120	—	43	2	no	—
691	C₂×#120	—	43	2	no	—
692	C₂×#120	—	43	2	no	—
693	C₂×#120	—	43	2	no	—
694	C₂×#120	—	43	2	no	—
695	C₂×C₄×Q₈	—	43	1	no	—
696	C₂×C₄×Q₈	C₂×D₄₃	1	1	yes	characteristic, complemented
697	C₂×C₄×D₄	—	43	2	no	—
698	C₂×C₄×D₄	—	43	2	no	—
699	C₂×C₄×D₄	—	43	2	no	—
700	C₂×C₄×D₄	—	43	2	no	—
701	C₂×C₄×D₄	—	43	1	no	—
702	C₂×C₄×D₄	—	43	2	no	—
703	C₂×C₄×D₄	C₂×D₄₃	1	1	yes	characteristic, complemented
704	C₂×C₄×D₄	C₂×D₄₃	1	2	yes	complemented
705	C₂×#117	—	43	2	no	—
706	C₂×#117	—	43	2	no	—
707	C₂×#117	—	43	2	no	—
708	C₂×#117	—	43	2	no	—
709	C₂×#117	C₂×D₄₃	1	2	yes	complemented
710	C₂²×C₂²⋊C₄	—	43	2	no	—
711	C₂²×C₂²⋊C₄	—	43	2	no	—
712	C₂²×C₂²⋊C₄	—	43	2	no	—
713	C₂²×C₂²⋊C₄	—	43	2	no	—
714	C₂²×C₂²⋊C₄	—	43	2	no	—
715	C₂²×C₄²	C₂×D₄₃	1	1	yes	characteristic, complemented
716	C₄₃	C₂×#3545	1	1	yes	characteristic, complemented, Sylow
717	C₂⁵	—	43	2	no	—
718	C₂⁵	—	43	2	no	—
719	C₂×#41	—	43	16	no	—
720	C₂×#41	—	172	8	no	—
721	C₂²×Q₈	—	43	1	no	—
722	C₂²×Q₈	—	43	1	no	—
723	C₂²×Q₈	—	43	2	no	—
724	C₂²×Q₈	—	43	2	no	—
725	C₂²×Q₈	—	43	1	no	—
726	C₂²×Q₈	—	43	8	no	—
727	C₂²×Q₈	—	172	4	no	—
728	C₂²×Q₈	C₂²×D₄₃	1	1	yes	characteristic
729	C₂²×D₄	—	43	2	no	—
730	C₂²×D₄	—	43	2	no	—
731	C₂²×D₄	—	43	2	no	—
732	C₂²×D₄	—	43	2	no	—
733	C₂²×D₄	—	43	2	no	—
734	C₂²×D₄	—	43	16	no	—
735	C₂²×D₄	—	43	2	no	—
736	C₂²×D₄	—	43	2	no	—
737	C₂²×D₄	—	43	1	no	—
738	C₂²×D₄	—	43	1	no	—
739	C₂²×D₄	—	43	2	no	—
740	C₂²×D₄	—	43	2	no	—
741	C₂²×D₄	—	43	1	no	—
742	C₂²×D₄	—	43	8	no	—
743	C₂²×D₄	—	172	4	no	—
744	C₂²×D₄	—	172	8	no	—
745	C₂²×D₄	C₂²×D₄₃	1	2	yes	—
746	C₂²×D₄	C₂²×D₄₃	1	1	yes	characteristic
747	C₂³×C₄	—	43	2	no	—
748	C₂³×C₄	—	43	2	no	—
749	C₂³×C₄	—	43	2	no	—
750	C₂³×C₄	—	43	2	no	—
751	C₂³×C₄	—	43	2	no	—
752	C₂³×C₄	—	43	2	no	—
753	C₂³×C₄	—	43	2	no	—
754	C₂³×C₄	C₂²×D₄₃	1	1	yes	characteristic
755	C₂³×C₄	C₂²×D₄₃	1	1	yes	characteristic
756	C₂³×C₄	C₂²×D₄₃	1	1	yes	characteristic
757	C₂³×C₄	C₂²×D₄₃	1	2	yes	—
758	C₄⋊Q₈	—	43	16	no	—
759	C₄⋊Q₈	—	43	16	no	—
760	#126	—	43	16	no	—
761	#126	—	43	16	no	—
762	#126	—	43	16	no	—
763	#126	—	43	16	no	—
764	#126	—	43	16	no	—
765	#126	C₂²×D₄₃	1	16	yes	complemented
766	#125	—	43	8	no	—
767	#125	C₂²×D₄₃	1	8	yes	complemented
768	#124	—	43	16	no	—
769	#124	—	43	16	no	—
770	#124	—	43	16	no	—
771	#124	—	43	16	no	—
772	#124	—	43	16	no	—
773	#124	—	43	16	no	—
774	#124	—	43	16	no	—
775	#124	—	43	8	no	—
776	#124	—	43	8	no	—
777	#124	—	43	8	no	—
778	#124	—	43	8	no	—
779	#124	—	43	8	no	—
780	#124	—	43	16	no	—
781	#124	C₂²×D₄₃	1	8	yes	complemented
782	#123	—	43	16	no	—
783	#123	—	43	16	no	—
784	#123	—	43	16	no	—
785	#123	—	43	16	no	—
786	#123	—	43	16	no	—
787	#123	—	43	16	no	—
788	#123	—	43	16	no	—
789	#123	—	43	16	no	—
790	#123	—	43	16	no	—
791	#123	—	43	16	no	—
792	#123	—	43	16	no	—
793	#123	C₂²×D₄₃	1	16	yes	complemented
794	C₂²⋊Q₈	—	43	16	no	—
795	C₂²⋊Q₈	—	43	8	no	—
796	C₂²⋊Q₈	—	43	16	no	—
797	C₂²⋊Q₈	—	43	16	no	—
798	C₂²⋊Q₈	—	43	16	no	—
799	C₂²⋊Q₈	—	43	16	no	—
800	C₂²⋊Q₈	—	43	16	no	—
801	C₂²⋊Q₈	—	43	16	no	—
802	C₂²⋊Q₈	—	43	16	no	—
803	C₂²⋊Q₈	C₂²×D₄₃	1	8	yes	complemented
804	#121	—	43	16	no	—
805	#121	—	43	8	no	—
806	#121	—	43	16	no	—
807	#121	—	43	16	no	—
808	#121	—	43	16	no	—
809	#121	—	43	16	no	—
810	#121	—	43	16	no	—
811	#121	—	43	16	no	—
812	#121	—	43	16	no	—
813	#121	C₂²×D₄₃	1	8	yes	—
814	#120	—	43	16	no	—
815	#120	—	43	16	no	—
816	#120	—	43	16	no	—
817	#120	—	43	16	no	—
818	#120	—	43	16	no	—
819	#120	—	43	16	no	—
820	C₄×Q₈	—	43	8	no	—
821	C₄×Q₈	C₂²×D₄₃	1	8	yes	complemented
822	C₄×D₄	—	43	16	no	—
823	C₄×D₄	—	43	16	no	—
824	C₄×D₄	—	43	16	no	—
825	C₄×D₄	—	43	16	no	—
826	C₄×D₄	—	43	8	no	—
827	C₄×D₄	—	43	16	no	—
828	C₄×D₄	C₂²×D₄₃	1	8	yes	complemented
829	C₄×D₄	C₂²×D₄₃	1	16	yes	complemented
830	#117	—	43	16	no	—
831	#117	—	43	16	no	—
832	#117	—	43	16	no	—
833	#117	—	43	16	no	—
834	#117	C₂²×D₄₃	1	16	yes	complemented
835	C₂×C₄⋊C₄	—	43	2	no	—
836	C₂×C₄⋊C₄	—	43	2	no	—
837	C₂×C₄⋊C₄	—	43	2	no	—
838	C₂×C₄⋊C₄	—	43	2	no	—
839	C₂×C₄⋊C₄	—	43	2	no	—
840	C₂×C₄⋊C₄	—	43	2	no	—
841	C₂×C₄⋊C₄	—	43	2	no	—
842	C₂×C₄⋊C₄	—	43	2	no	—
843	C₂×C₄⋊C₄	—	43	2	no	—
844	C₂×C₄⋊C₄	—	43	1	no	—
845	C₂×C₄⋊C₄	—	43	1	no	—
846	C₂×C₄⋊C₄	—	43	2	no	—
847	C₂×C₄⋊C₄	C₂²×D₄₃	1	2	yes	—
848	C₂×C₄⋊C₄	C₂²×D₄₃	1	2	yes	—
849	C₂×C₄⋊C₄	C₂²×D₄₃	1	2	yes	—
850	C₂×C₄⋊C₄	C₂²×D₄₃	1	1	yes	characteristic
851	C₂×C₄⋊C₄	C₂²×D₄₃	1	2	yes	—
852	C₂×C₄⋊C₄	C₂²×D₄₃	1	1	yes	characteristic
853	C₂×C₂²⋊C₄	—	43	2	no	—
854	C₂×C₂²⋊C₄	—	43	2	no	—
855	C₂×C₂²⋊C₄	—	43	2	no	—
856	C₂×C₂²⋊C₄	—	43	2	no	—
857	C₂×C₂²⋊C₄	—	43	2	no	—
858	C₂×C₂²⋊C₄	—	43	2	no	—
859	C₂×C₂²⋊C₄	—	43	2	no	—
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	2	no	—
870	C₂×C₂²⋊C₄	—	43	16	no	—
871	C₂×C₂²⋊C₄	—	43	16	no	—
872	C₂×C₂²⋊C₄	—	43	16	no	—
873	C₂×C₂²⋊C₄	—	43	2	no	—
874	C₂×C₂²⋊C₄	—	43	2	no	—
875	C₂×C₂²⋊C₄	—	43	2	no	—
876	C₂×C₂²⋊C₄	—	43	2	no	—
877	C₂×C₂²⋊C₄	—	43	2	no	—
878	C₂×C₂²⋊C₄	—	43	2	no	—
879	C₂×C₂²⋊C₄	—	43	16	no	—
880	C₂×C₂²⋊C₄	—	43	16	no	—
881	C₂×C₂²⋊C₄	C₂²×D₄₃	1	2	yes	—
882	C₂×C₂²⋊C₄	C₂²×D₄₃	1	2	yes	—
883	C₂×C₂²⋊C₄	C₂²×D₄₃	1	2	yes	—
884	C₂×C₂²⋊C₄	C₂²×D₄₃	1	2	yes	—
885	C₂×C₂²⋊C₄	C₂²×D₄₃	1	2	yes	—
886	C₂×C₄²	—	43	2	no	—
887	C₂×C₄²	—	43	2	no	—
888	C₂×C₄²	—	43	2	no	—
889	C₂×C₄²	C₂²×D₄₃	1	1	yes	characteristic
890	C₂×C₄²	C₂²×D₄₃	1	2	yes	—
891	C₂×C₄²	C₂²×D₄₃	1	1	yes	characteristic
892	C₂×C₄²	C₂²×D₄₃	1	1	yes	characteristic
893	C₂×C₄²	C₂²×D₄₃	1	1	yes	characteristic
894	C₂×C₄²	C₂²×D₄₃	1	8	yes	complemented
895	C₂⁴	—	43	2	no	—
896	C₂⁴	—	43	2	no	—
897	C₂⁴	—	43	2	no	—
898	C₂⁴	—	43	8	no	—
899	C₂⁴	—	43	8	no	—
900	C₂⁴	—	86	8	no	—
901	C₂⁴	—	172	4	no	—
902	C₂⁴	—	172	4	no	—
903	C₂⁴	—	172	4	no	—
904	C₂⁴	—	172	4	no	—
905	C₂⁴	—	172	4	no	—
906	C₂⁴	C₂³×D₄₃	1	2	yes	—
907	C₂⁴	C₂³×D₄₃	1	1	yes	characteristic
908	#41	—	172	32	no	—
909	C₂×Q₈	—	4	2	no	—
910	C₂×Q₈	—	43	4	no	—
911	C₂×Q₈	—	43	4	no	—
912	C₂×Q₈	—	43	8	no	—
913	C₂×Q₈	—	43	8	no	—
914	C₂×Q₈	—	43	4	no	—
915	C₂×Q₈	—	172	2	no	—
916	C₂×Q₈	—	172	4	no	—
917	C₂×Q₈	—	172	2	no	—
918	C₂×Q₈	—	172	16	no	—
919	C₂×Q₈	—	172	4	no	—
920	C₂×Q₈	—	172	2	no	—
921	C₂×Q₈	C₂³×D₄₃	1	4	yes	—
922	C₂×D₄	—	2	8	no	—
923	C₂×D₄	—	4	2	no	—
924	C₂×D₄	—	43	8	no	—
925	C₂×D₄	—	43	8	no	—
926	C₂×D₄	—	43	8	no	—
927	C₂×D₄	—	43	8	no	—
928	C₂×D₄	—	43	8	no	—
929	C₂×D₄	—	43	8	no	—
930	C₂×D₄	—	43	8	no	—
931	C₂×D₄	—	43	4	no	—
932	C₂×D₄	—	43	4	no	—
933	C₂×D₄	—	43	8	no	—
934	C₂×D₄	—	43	8	no	—
935	C₂×D₄	—	43	4	no	—
936	C₂×D₄	—	86	8	no	—
937	C₂×D₄	—	172	16	no	—
938	C₂×D₄	—	172	2	no	—
939	C₂×D₄	—	172	4	no	—
940	C₂×D₄	—	172	2	no	—
941	C₂×D₄	—	172	4	no	—
942	C₂×D₄	—	172	4	no	—
943	C₂×D₄	—	172	2	no	—
944	C₂×D₄	—	172	4	no	—
945	C₂×D₄	—	172	4	no	—
946	C₂×D₄	—	172	4	no	—
947	C₂×D₄	—	172	4	no	—
948	C₂×D₄	—	172	4	no	—
949	C₂×D₄	—	172	32	no	—
950	C₂×D₄	C₂³×D₄₃	1	8	yes	—
951	C₂×D₄	C₂³×D₄₃	1	4	yes	—
952	C₂²×C₄	—	2	4	no	—
953	C₂²×C₄	—	4	4	no	—
954	C₂²×C₄	—	4	2	no	—
955	C₂²×C₄	—	4	2	no	—
956	C₂²×C₄	—	43	8	no	—
957	C₂²×C₄	—	43	2	no	—
958	C₂²×C₄	—	43	2	no	—
959	C₂²×C₄	—	43	2	no	—
960	C₂²×C₄	—	43	2	no	—
961	C₂²×C₄	—	43	2	no	—
962	C₂²×C₄	—	43	8	no	—
963	C₂²×C₄	—	43	8	no	—
964	C₂²×C₄	—	43	8	no	—
965	C₂²×C₄	—	43	8	no	—
966	C₂²×C₄	—	43	8	no	—
967	C₂²×C₄	—	43	8	no	—
968	C₂²×C₄	—	86	8	no	—
969	C₂²×C₄	—	172	4	no	—
970	C₂²×C₄	—	172	4	no	—
971	C₂²×C₄	—	172	4	no	—
972	C₂²×C₄	—	172	4	no	—
973	C₂²×C₄	—	172	4	no	—
974	C₂²×C₄	—	172	4	no	—
975	C₂²×C₄	C₂³×D₄₃	1	4	yes	—
976	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
977	C₂²×C₄	C₂³×D₄₃	1	2	yes	—
978	C₂²×C₄	C₂³×D₄₃	1	2	yes	—
979	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
980	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
981	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
982	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
983	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
984	C₂²×C₄	C₂³×D₄₃	1	2	yes	—
985	C₂²×C₄	C₂³×D₄₃	1	4	yes	—
986	C₂²×C₄	C₂³×D₄₃	1	4	yes	—
987	C₂²×C₄	C₂³×D₄₃	1	8	yes	—
988	C₄⋊C₄	—	43	8	no	—
989	C₄⋊C₄	—	43	8	no	—
990	C₄⋊C₄	—	43	8	no	—
991	C₄⋊C₄	—	43	8	no	—
992	C₄⋊C₄	—	43	8	no	—
993	C₄⋊C₄	—	43	8	no	—
994	C₄⋊C₄	—	43	8	no	—
995	C₄⋊C₄	—	43	8	no	—
996	C₄⋊C₄	—	43	8	no	—
997	C₄⋊C₄	—	43	4	no	—
998	C₄⋊C₄	—	43	4	no	—
999	C₄⋊C₄	—	43	8	no	—
1000	C₄⋊C₄	C₂³×D₄₃	1	8	yes	—
1001	C₄⋊C₄	C₂³×D₄₃	1	8	yes	—
1002	C₄⋊C₄	C₂³×D₄₃	1	8	yes	—
1003	C₄⋊C₄	C₂³×D₄₃	1	4	yes	—
1004	C₄⋊C₄	C₂³×D₄₃	1	8	yes	—
1005	C₄⋊C₄	C₂³×D₄₃	1	4	yes	—
1006	C₂²⋊C₄	—	43	8	no	—
1007	C₂²⋊C₄	—	43	8	no	—
1008	C₂²⋊C₄	—	43	8	no	—
1009	C₂²⋊C₄	—	43	8	no	—
1010	C₂²⋊C₄	—	43	8	no	—
1011	C₂²⋊C₄	—	43	8	no	—
1012	C₂²⋊C₄	—	43	8	no	—
1013	C₂²⋊C₄	—	43	8	no	—
1014	C₂²⋊C₄	—	43	8	no	—
1015	C₂²⋊C₄	—	43	8	no	—
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	8	no	—
1026	C₂²⋊C₄	—	43	8	no	—
1027	C₂²⋊C₄	—	43	8	no	—
1028	C₂²⋊C₄	—	43	8	no	—
1029	C₂²⋊C₄	C₂³×D₄₃	1	8	yes	—
1030	C₂²⋊C₄	C₂³×D₄₃	1	8	yes	—
1031	C₂²⋊C₄	C₂³×D₄₃	1	8	yes	—
1032	C₂²⋊C₄	C₂³×D₄₃	1	8	yes	—
1033	C₂²⋊C₄	C₂³×D₄₃	1	8	yes	—
1034	C₄²	—	43	8	no	—
1035	C₄²	—	43	8	no	—
1036	C₄²	—	43	8	no	—
1037	C₄²	C₂³×D₄₃	1	4	yes	—
1038	C₄²	C₂³×D₄₃	1	4	yes	—
1039	C₄²	C₂³×D₄₃	1	4	yes	—
1040	C₄²	C₂³×D₄₃	1	4	yes	—
1041	C₄²	C₂³×D₄₃	1	8	yes	—
1042	C₂³	—	2	2	no	—
1043	C₂³	—	2	2	no	—
1044	C₂³	—	2	4	no	—
1045	C₂³	—	2	4	no	—
1046	C₂³	—	2	4	no	—
1047	C₂³	—	43	4	no	—
1048	C₂³	—	43	4	no	—
1049	C₂³	—	43	4	no	—
1050	C₂³	—	86	16	no	—
1051	C₂³	—	86	4	no	—
1052	C₂³	—	86	4	no	—
1053	C₂³	—	86	4	no	—
1054	C₂³	—	86	4	no	—
1055	C₂³	—	86	4	no	—
1056	C₂³	—	86	4	no	—
1057	C₂³	—	86	4	no	—
1058	C₂³	—	86	4	no	—
1059	C₂³	—	86	4	no	—
1060	C₂³	—	344	16	no	—
1061	C₂³	—	344	16	no	—
1062	C₂³	—	172	8	no	—
1063	C₂³	—	172	8	no	—
1064	C₂³	—	172	8	no	—
1065	C₂³	—	172	8	no	—
1066	C₂³	—	172	8	no	—
1067	C₂³	#13063371	1	4	yes	—
1068	C₂³	C₂⁴×D₄₃	1	4	yes	—
1069	C₂³	C₂⁴×D₄₃	1	2	yes	—
1070	C₂³	C₂⁴×D₄₃	1	1	yes	characteristic
1071	Q₈	—	4	4	no	—
1072	Q₈	—	172	4	no	—
1073	Q₈	—	172	8	no	—
1074	Q₈	—	172	4	no	—
1075	Q₈	—	172	8	no	—
1076	Q₈	—	172	4	no	—
1077	D₄	—	2	16	no	—
1078	D₄	—	4	4	no	—
1079	D₄	—	86	16	no	—
1080	D₄	—	172	4	no	—
1081	D₄	—	172	8	no	—
1082	D₄	—	172	4	no	—
1083	D₄	—	172	8	no	—
1084	D₄	—	172	8	no	—
1085	D₄	—	172	4	no	—
1086	D₄	—	172	8	no	—
1087	D₄	—	172	8	no	—
1088	D₄	—	172	8	no	—
1089	D₄	—	172	8	no	—
1090	D₄	—	172	8	no	—
1091	C₂×C₄	—	2	8	no	—
1092	C₂×C₄	—	2	2	no	—
1093	C₂×C₄	—	2	2	no	—
1094	C₂×C₄	—	2	4	no	—
1095	C₂×C₄	—	2	2	no	—
1096	C₂×C₄	—	2	2	no	—
1097	C₂×C₄	—	2	4	no	—
1098	C₂×C₄	—	2	2	no	—
1099	C₂×C₄	—	2	2	no	—
1100	C₂×C₄	—	2	4	no	—
1101	C₂×C₄	—	4	8	no	—
1102	C₂×C₄	—	4	4	no	—
1103	C₂×C₄	—	4	4	no	—
1104	C₂×C₄	—	43	4	no	—
1105	C₂×C₄	—	43	4	no	—
1106	C₂×C₄	—	43	4	no	—
1107	C₂×C₄	—	43	4	no	—
1108	C₂×C₄	—	43	4	no	—
1109	C₂×C₄	—	86	4	no	—
1110	C₂×C₄	—	86	4	no	—
1111	C₂×C₄	—	86	16	no	—
1112	C₂×C₄	—	86	4	no	—
1113	C₂×C₄	—	86	4	no	—
1114	C₂×C₄	—	86	4	no	—
1115	C₂×C₄	—	172	8	no	—
1116	C₂×C₄	—	172	8	no	—
1117	C₂×C₄	—	172	8	no	—
1118	C₂×C₄	—	172	8	no	—
1119	C₂×C₄	—	172	8	no	—
1120	C₂×C₄	—	172	8	no	—
1121	C₂×C₄	C₂⁴×D₄₃	1	2	yes	—
1122	C₂×C₄	C₂⁴×D₄₃	1	4	yes	—
1123	C₂×C₄	C₂⁴×D₄₃	1	4	yes	—
1124	C₂×C₄	C₂⁴×D₄₃	1	2	yes	—
1125	C₂×C₄	C₂⁴×D₄₃	1	2	yes	—
1126	C₂×C₄	C₂⁴×D₄₃	1	2	yes	—
1127	C₂×C₄	C₂⁴×D₄₃	1	2	yes	—
1128	C₂×C₄	C₂⁴×D₄₃	1	2	yes	—
1129	C₂×C₄	C₂⁴×D₄₃	1	4	yes	—
1130	C₂²	—	2	2	no	—
1131	C₂²	—	2	2	no	—
1132	C₂²	—	2	8	no	—
1133	C₂²	—	2	4	no	—
1134	C₂²	—	2	4	no	—
1135	C₂²	—	2	4	no	—
1136	C₂²	—	4	8	no	—
1137	C₂²	—	86	4	no	—
1138	C₂²	—	86	4	no	—
1139	C₂²	—	86	4	no	—
1140	C₂²	—	86	4	no	—
1141	C₂²	—	86	4	no	—
1142	C₂²	—	86	4	no	—
1143	C₂²	—	86	4	no	—
1144	C₂²	—	86	4	no	—
1145	C₂²	—	86	4	no	—
1146	C₂²	—	344	16	no	—
1147	C₂²	—	344	16	no	—
1148	C₂²	—	172	8	no	—
1149	C₂²	—	172	8	no	—
1150	C₂²	—	172	8	no	—
1151	C₂²	C₂×#13063371	1	4	yes	—
1152	C₂²	C₂×#13063371	1	2	yes	—
1153	C₂²	#14583735	1	2	yes	—
1154	C₂²	#14583735	1	2	yes	—
1155	C₂²	C₂⁵×D₄₃	1	1	yes	characteristic
1156	C₄	—	2	2	no	—
1157	C₄	—	2	2	no	—
1158	C₄	—	2	4	no	—
1159	C₄	—	2	2	no	—
1160	C₄	—	2	2	no	—
1161	C₄	—	2	4	no	—
1162	C₄	—	2	2	no	—
1163	C₄	—	2	2	no	—
1164	C₄	—	2	4	no	—
1165	C₄	—	86	4	no	—
1166	C₄	—	86	4	no	—
1167	C₄	—	86	4	no	—
1168	C₄	—	86	4	no	—
1169	C₄	—	86	4	no	—
1170	C₂	—	2	4	no	—
1171	C₂	—	4	4	no	—
1172	C₂	—	172	4	no	—
1173	C₂	—	172	4	no	—
1174	C₂	—	172	4	no	—
1175	C₂	#19148947	1	4	yes	direct product factor
1176	C₂	C₂²×#13063371	1	1	yes	characteristic
1177	C₂	C₂×#14583735	1	1	yes	characteristic
1178	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×#529	C₂
socle	C₂³×C₄₃	C₂⁵
hypercenter	C₂×#529	D₄₃
hypocenter	C₄₃	C₂×#3545
LCS	G ▷ C₂²×C₄₃ ▷ C₄₃
UCS	C₁ ◁ C₂³ ◁ C₂×#529

Complements

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

N	H ≅ G/N	type
1. #19148947	C₂	direct (N × H)
2. C₂×#14583653	C₂	semidirect
3. C₂×#14583647	C₂	semidirect
4. C₂×#14583643	C₂	semidirect
5. C₂×#14583641	C₂	semidirect
6. C₂×#14583612	C₂	semidirect
7. C₂×#14583578	C₂	semidirect
8. C₂×#14583576	C₂	semidirect
9. C₂×#14583573	C₂	semidirect
10. C₂×#14583544	C₂	semidirect
11. C₂×#14583538	C₂	semidirect
12. C₂×#14583521	C₂	semidirect
13. C₂×#14583515	C₂	semidirect
14. C₂×#14583488	C₂	semidirect
15. C₂×#14583482	C₂	semidirect
16. C₂×#14583471	C₂	semidirect
17. C₂×#14583460	C₂	semidirect
18. C₂×#14583433	C₂	semidirect
19. C₂²×#13063313	C₂	semidirect
20. C₂×C₄₃×#529	C₂	semidirect
22. C₂³×Dic₈₆	C₂²	semidirect
24. C₂²×D₄×D₄₃	C₂²	semidirect
25. #14583653	C₂²	semidirect
26. #14583647	C₂²	semidirect
27. #14583643	C₂²	semidirect
28. #14583641	C₂²	semidirect
29. #14583612	C₂²	semidirect
30. #14583578	C₂²	semidirect
31. #14583576	C₂²	semidirect
32. #14583573	C₂²	semidirect
33. #14583544	C₂²	semidirect
34. #14583538	C₂²	semidirect
35. #14583521	C₂²	semidirect
36. #14583515	C₂²	semidirect
37. #14583488	C₂²	semidirect
38. #14583482	C₂²	semidirect
39. #14583471	C₂²	semidirect
40. #14583460	C₂²	semidirect
41. C₂×#13063324	C₂²	semidirect
42. C₂×#13063324	C₂²	semidirect
43. #14583433	C₂²	semidirect
44. C₂×#13063320	C₂²	semidirect
45. C₂×#13063320	C₂²	semidirect
46. C₂×#13063320	C₂²	semidirect
47. C₂×#13063319	C₂²	semidirect
48. C₂×#13063319	C₂²	semidirect
49. C₂×#13063317	C₂²	semidirect
50. C₂×#13063314	C₂²	semidirect
53. C₂×#13063313	C₂²	semidirect
54. C₂×#13063313	C₂²	semidirect
55. C₂×#13063313	C₂²	semidirect
56. C₂×#13063313	C₂²	semidirect
57. C₂×#13063313	C₂²	semidirect
58. C₂×#13063313	C₂²	semidirect
59. C₂×#13063313	C₂²	semidirect
60. C₂×#13063311	C₂²	semidirect
61. C₂×#13063311	C₂²	semidirect
62. C₂×#13063311	C₂²	semidirect
63. C₂×#13063311	C₂²	semidirect
65. C₂×#13063310	C₂²	semidirect
66. C₂×#13063310	C₂²	semidirect
67. C₂×#13063310	C₂²	semidirect
68. C₂×#13063310	C₂²	semidirect
69. C₂×#13063309	C₂²	semidirect
70. C₂×#13063309	C₂²	semidirect
71. C₂×#13063308	C₂²	semidirect
72. C₂×#13063308	C₂²	semidirect
73. C₂×#13063307	C₂²	semidirect
74. C₂×#13063306	C₂²	semidirect
75. C₂×#13063305	C₂²	semidirect
76. C₂×#13063304	C₂²	semidirect
77. C₂×#13063303	C₂²	semidirect
78. C₂×#13063303	C₂²	semidirect
79. C₂×#13063303	C₂²	semidirect
80. C₂×#13063303	C₂²	semidirect
81. C₂×#13063302	C₂²	semidirect
82. C₂×#13063302	C₂²	semidirect
83. C₂×#13063301	C₂²	semidirect
85. C₂×#13063300	C₂²	semidirect
86. C₂×#13063300	C₂²	semidirect
88. C₂×#13063299	C₂²	semidirect
90. C₂×#13063298	C₂²	semidirect
91. C₂×#13063298	C₂²	semidirect
92. C₂×#13063297	C₂²	semidirect
95. C₂×#13063295	C₂²	semidirect
96. C₂×#13063295	C₂²	semidirect
98. C₂×#13063293	C₂²	semidirect
99. C₂×C₄×Dic₈₆	C₂²	semidirect
100. C₂×C₄×D₁₇₂	C₂²	semidirect
101. C₂×C₄×D₁₇₂	C₂²	semidirect
102. C₂×#13063287	C₂²	semidirect
103. C₂×C₄×C₂²⋊D₄₃	C₂²	semidirect
104. C₂×C₄×C₂²⋊D₄₃	C₂²	semidirect
105. C₂×(C₂²⋊D₄₃)⋊C₄	C₂²	semidirect
106. C₂×#13063283	C₂²	semidirect
107. C₂×#13063282	C₂²	semidirect
108. C₂×#13063282	C₂²	semidirect
109. C₂×#13063281	C₂²	semidirect
110. C₂²×(C₂×D₄₃)⋊C₄	C₂²	semidirect
111. C₂²×(C₂×D₄₃)⋊C₄	C₂²	semidirect
112. C₂²×(C₂×D₄₃)⋊C₄	C₂²	semidirect
113. C₂×C₂²⋊C₄×D₄₃	C₂²	semidirect
114. C₂×C₂²⋊C₄×D₄₃	C₂²	semidirect
115. C₄₃×#529	C₂²	semidirect
116. C₂×#126×C₄₃	C₂²	semidirect
117. C₂×#125×C₄₃	C₂²	semidirect
118. C₂×#124×C₄₃	C₂²	semidirect
119. C₂×#123×C₄₃	C₂²	semidirect
120. C₂×C₂²⋊Q₈×C₄₃	C₂²	semidirect
122. C₂×C₄×Q₈×C₄₃	C₂²	semidirect
123. C₂×C₄×D₄×C₄₃	C₂²	semidirect
124. C₂×C₄×D₄×C₄₃	C₂²	semidirect
125. C₂×#117×C₄₃	C₂²	semidirect
126. C₂²×C₄²×C₄₃	C₂²	semidirect
137. C₂²×Dic₈₆	C₂³	semidirect
153. C₂×D₄×D₄₃	C₂³	semidirect
161. #13063324	C₂³	semidirect
162. #13063324	C₂³	semidirect
163. #13063320	C₂³	semidirect
164. #13063320	C₂³	semidirect
165. #13063320	C₂³	semidirect
166. #13063319	C₂³	semidirect
167. #13063319	C₂³	semidirect
168. #13063317	C₂³	semidirect
169. #13063314	C₂³	semidirect
172. #13063313	C₂³	semidirect
173. #13063313	C₂³	semidirect
174. #13063313	C₂³	semidirect
175. #13063313	C₂³	semidirect
176. #13063313	C₂³	semidirect
177. #13063313	C₂³	semidirect
178. #13063311	C₂³	semidirect
179. #13063311	C₂³	semidirect
180. #13063311	C₂³	semidirect
181. #13063311	C₂³	semidirect
183. #13063310	C₂³	semidirect
184. #13063310	C₂³	semidirect
185. #13063310	C₂³	semidirect
186. #13063310	C₂³	semidirect
187. #13063309	C₂³	semidirect
188. #13063309	C₂³	semidirect
189. #13063308	C₂³	semidirect
190. #13063308	C₂³	semidirect
191. #13063307	C₂³	semidirect
192. #13063306	C₂³	semidirect
193. #13063305	C₂³	semidirect
194. #13063304	C₂³	semidirect
195. #13063303	C₂³	semidirect
196. #13063303	C₂³	semidirect
197. #13063303	C₂³	semidirect
198. #13063303	C₂³	semidirect
199. #13063302	C₂³	semidirect
200. #13063302	C₂³	semidirect
201. #13063301	C₂³	semidirect
203. #13063300	C₂³	semidirect
204. #13063300	C₂³	semidirect
206. #13063299	C₂³	semidirect
208. #13063298	C₂³	semidirect
209. #13063298	C₂³	semidirect
210. #13063297	C₂³	semidirect
213. #13063295	C₂³	semidirect
214. #13063295	C₂³	semidirect
216. #13063293	C₂³	semidirect
217. C₄×Dic₈₆	C₂³	semidirect
218. C₄×D₁₇₂	C₂³	semidirect
219. C₄×D₁₇₂	C₂³	semidirect
220. #13063287	C₂³	semidirect
221. C₄×C₂²⋊D₄₃	C₂³	semidirect
222. C₄×C₂²⋊D₄₃	C₂³	semidirect
223. (C₂²⋊D₄₃)⋊C₄	C₂³	semidirect
224. #13063283	C₂³	semidirect
225. #13063282	C₂³	semidirect
226. #13063282	C₂³	semidirect
227. #13063281	C₂³	semidirect
263. C₂×(C₂×D₄₃)⋊C₄	C₂³	semidirect
264. C₂×(C₂×D₄₃)⋊C₄	C₂³	semidirect
265. C₂×(C₂×D₄₃)⋊C₄	C₂³	semidirect
266. C₂²⋊C₄×D₄₃	C₂³	semidirect
267. C₂²⋊C₄×D₄₃	C₂³	semidirect
278. #126×C₄₃	C₂³	semidirect
279. #125×C₄₃	C₂³	semidirect
280. #124×C₄₃	C₂³	semidirect
281. #123×C₄₃	C₂³	semidirect
282. C₂²⋊Q₈×C₄₃	C₂³	semidirect
284. C₄×Q₈×C₄₃	C₂³	semidirect
285. C₄×D₄×C₄₃	C₂³	semidirect
286. C₄×D₄×C₄₃	C₂³	semidirect
287. #117×C₄₃	C₂³	semidirect
304. C₂×C₄²×C₄₃	C₂³	semidirect
599. C₂×#529	D₄₃	semidirect
603. C₂×C₄₃	#3545	semidirect
633. #529	C₂×D₄₃	semidirect
639. C₂×#126	C₂×D₄₃	semidirect
641. C₂×#125	C₂×D₄₃	semidirect
656. C₂×#124	C₂×D₄₃	semidirect
668. C₂×#123	C₂×D₄₃	semidirect
678. C₂×C₂²⋊Q₈	C₂×D₄₃	semidirect
696. C₂×C₄×Q₈	C₂×D₄₃	semidirect
703. C₂×C₄×D₄	C₂×D₄₃	semidirect
704. C₂×C₄×D₄	C₂×D₄₃	semidirect
709. C₂×#117	C₂×D₄₃	semidirect
715. C₂²×C₄²	C₂×D₄₃	semidirect
716. C₄₃	C₂×#3545	semidirect
765. #126	C₂²×D₄₃	semidirect
767. #125	C₂²×D₄₃	semidirect
781. #124	C₂²×D₄₃	semidirect
793. #123	C₂²×D₄₃	semidirect
803. C₂²⋊Q₈	C₂²×D₄₃	semidirect
821. C₄×Q₈	C₂²×D₄₃	semidirect
828. C₄×D₄	C₂²×D₄₃	semidirect
829. C₄×D₄	C₂²×D₄₃	semidirect
834. #117	C₂²×D₄₃	semidirect
894. C₂×C₄²	C₂²×D₄₃	semidirect
1175. C₂	#19148947	direct (N × H)

Maximal subgroups

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

subgroup	index
#19148947	2
C₂×#14583653	2
C₂×#14583647	2
C₂×#14583643	2
C₂×#14583641	2
C₂×#14583612	2
C₂×#14583578	2
C₂×#14583576	2
C₂×#14583573	2
C₂×#14583544	2
C₂×#14583538	2
C₂×#14583521	2
C₂×#14583515	2
C₂×#14583488	2
C₂×#14583482	2
C₂×#14583471	2
C₂×#14583460	2
C₂×#14583433	2
C₂²×#13063313	2
C₂×C₄₃×#529	2
C₂×#3545	43

Subgroups — C2×#19148947 #26004351

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₂×#19148947 #26004351