Subgroups — C₂×#19149223 #26004001

Order 11008.

6598 conjugacy classes of subgroups.

The subgroup lattice has 1084 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#19149223	C₂	1	32	yes	maximal, direct product factor
2	C₂×#14583648	C₂	1	2	yes	maximal, complemented
3	C₂×#14583648	C₂	1	2	yes	maximal, complemented
4	C₂×#14583621	C₂	1	2	yes	maximal, complemented
5	C₂×#14583603	C₂	1	2	yes	maximal, complemented
6	C₂×#14583590	C₂	1	2	yes	maximal, complemented
7	C₂×#14583582	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×#14583528	C₂	1	1	yes	maximal, characteristic, complemented
11	C₂×#14583524	C₂	1	1	yes	maximal, characteristic, complemented
12	C₂×#14583521	C₂	1	2	yes	maximal, complemented
13	C₂×#14583508	C₂	1	2	yes	maximal, complemented
14	C₂×#14583507	C₂	1	2	yes	maximal, complemented
15	C₂×#14583498	C₂	1	1	yes	maximal, characteristic, complemented
16	C₂×#14583497	C₂	1	2	yes	maximal, complemented
17	C₂×#14583489	C₂	1	1	yes	maximal, characteristic
18	C₂×#14583433	C₂	1	1	yes	maximal, characteristic, complemented
19	C₂²×#13063319	C₂	1	1	yes	maximal, characteristic, complemented
20	C₂×C₄₃×#533	C₂	1	1	yes	maximal, characteristic, complemented
21	#14583648	C₂²	1	32	yes	complemented
22	#14583648	C₂²	1	32	yes	complemented
23	#14583621	C₂²	1	32	yes	complemented
24	#14583603	C₂²	1	32	yes	complemented
25	#14583590	C₂²	1	32	yes	complemented
26	#14583582	C₂²	1	32	yes	complemented
27	#14583576	C₂²	1	32	yes	complemented
28	#14583573	C₂²	1	32	yes	complemented
29	#14583528	C₂²	1	16	yes	complemented
30	#14583524	C₂²	1	16	yes	complemented
31	#14583521	C₂²	1	32	yes	complemented
32	#14583508	C₂²	1	32	yes	complemented
33	#14583507	C₂²	1	32	yes	complemented
34	#14583498	C₂²	1	16	yes	complemented
35	#14583497	C₂²	1	32	yes	complemented
36	#14583489	C₂²	1	16	yes	—
37	C₂×#13063324	C₂²	1	2	yes	complemented
38	C₂×#13063323	C₂²	1	2	yes	complemented
39	C₂×#13063323	C₂²	1	2	yes	complemented
40	#14583433	C₂²	1	16	yes	complemented
41	C₂×#13063320	C₂²	1	2	yes	—
42	C₂×#13063320	C₂²	1	2	yes	—
43	C₂×#13063320	C₂²	1	2	yes	—
44	C₂×#13063320	C₂²	1	2	yes	—
45	C₂×#13063320	C₂²	1	2	yes	complemented
46	C₂×#13063320	C₂²	1	2	yes	complemented
47	C₂×#13063319	C₂²	1	2	yes	—
48	C₂×#13063319	C₂²	1	2	yes	—
49	C₂×#13063319	C₂²	1	2	yes	—
50	C₂×#13063319	C₂²	1	2	yes	—
51	C₂×#13063319	C₂²	1	2	yes	—
52	C₂×#13063319	C₂²	1	16	yes	complemented
53	C₂×#13063319	C₂²	1	2	yes	complemented
54	C₂×#13063319	C₂²	1	2	yes	complemented
55	C₂×#13063317	C₂²	1	2	yes	complemented
56	C₂×#13063317	C₂²	1	1	yes	characteristic, complemented
57	C₂×#13063316	C₂²	1	2	yes	complemented
58	C₂×#13063315	C₂²	1	2	yes	complemented
59	C₂×#13063315	C₂²	1	2	yes	complemented
60	C₂×#13063315	C₂²	1	2	yes	complemented
61	C₂×#13063315	C₂²	1	2	yes	complemented
62	C₂×#13063315	C₂²	1	2	yes	complemented
63	C₂×#13063315	C₂²	1	2	yes	complemented
64	C₂×#13063314	C₂²	1	2	yes	—
65	C₂×#13063314	C₂²	1	2	yes	—
66	C₂×#13063313	C₂²	1	2	yes	—
67	C₂×#13063313	C₂²	1	1	yes	characteristic, complemented
68	C₂×#13063310	C₂²	1	2	yes	—
69	C₂×#13063310	C₂²	1	2	yes	—
70	C₂×#13063310	C₂²	1	2	yes	—
71	C₂×#13063310	C₂²	1	2	yes	—
72	C₂×#13063310	C₂²	1	2	yes	—
73	C₂×#13063310	C₂²	1	2	yes	complemented
74	C₂×#13063309	C₂²	1	2	yes	—
75	C₂×#13063308	C₂²	1	2	yes	—
76	C₂×#13063305	C₂²	1	2	yes	—
77	C₂×#13063304	C₂²	1	1	yes	characteristic
78	C₂×#13063303	C₂²	1	2	yes	—
79	C₂×#13063303	C₂²	1	2	yes	—
80	C₂×#13063303	C₂²	1	2	yes	—
81	C₂×#13063303	C₂²	1	2	yes	complemented
82	C₂×#13063303	C₂²	1	2	yes	complemented
83	C₂×#13063303	C₂²	1	2	yes	complemented
84	C₂×#13063302	C₂²	1	2	yes	—
85	C₂×#13063302	C₂²	1	2	yes	—
86	C₂×#13063301	C₂²	1	2	yes	—
87	C₂×#13063301	C₂²	1	2	yes	—
88	C₂×#13063301	C₂²	1	2	yes	complemented
89	C₂×#13063301	C₂²	1	2	yes	complemented
90	C₂×#13063300	C₂²	1	2	yes	—
91	C₂×#13063299	C₂²	1	1	yes	characteristic
92	C₂×#13063295	C₂²	1	2	yes	—
93	C₂×C₄×Dic₈₆	C₂²	1	2	yes	complemented
94	C₂×C₄×Dic₈₆	C₂²	1	1	yes	characteristic, complemented
95	C₂×#13063290	C₂²	1	2	yes	complemented
96	C₂×C₄×D₁₇₂	C₂²	1	2	yes	—
97	C₂×C₄×D₁₇₂	C₂²	1	1	yes	characteristic, complemented
98	C₂×#13063287	C₂²	1	2	yes	—
99	C₂×C₄×C₂²⋊D₄₃	C₂²	1	2	yes	—
100	C₂×(C₂²⋊D₄₃)⋊C₄	C₂²	1	2	yes	—
101	C₂×(C₂²⋊D₄₃)⋊C₄	C₂²	1	2	yes	—
102	C₂×#13063283	C₂²	1	2	yes	—
103	C₂×#13063282	C₂²	1	2	yes	—
104	C₂×#13063282	C₂²	1	2	yes	complemented
105	C₂×#13063282	C₂²	1	2	yes	complemented
106	C₂×#13063281	C₂²	1	2	yes	—
107	C₂²×Dic₄₃⋊C₄	C₂²	1	1	yes	characteristic
108	C₂²×Dic₄₃⋊C₄	C₂²	1	1	yes	characteristic
109	C₂²×Dic₄₃⋊C₄	C₂²	1	1	yes	characteristic
110	C₂×C₄⋊C₄×D₄₃	C₂²	1	2	yes	complemented
111	C₂²×(C₂×D₄₃)⋊C₄	C₂²	1	1	yes	characteristic
112	C₂²×(C₂×D₄₃)⋊C₄	C₂²	1	1	yes	characteristic
113	C₂²×(C₂×D₄₃)⋊C₄	C₂²	1	1	yes	characteristic
114	C₂×C₂²⋊C₄×D₄₃	C₂²	1	2	yes	—
115	C₄₃×#533	C₂²	1	16	yes	complemented
116	C₂×C₄⋊Q₈×C₄₃	C₂²	1	1	yes	characteristic, complemented
117	C₂×C₄⋊Q₈×C₄₃	C₂²	1	1	yes	characteristic, complemented
118	C₂×#125×C₄₃	C₂²	1	2	yes	complemented
119	C₂×C₂²⋊Q₈×C₄₃	C₂²	1	2	yes	—
120	C₂×C₂²⋊Q₈×C₄₃	C₂²	1	1	yes	characteristic
121	C₂×C₂²⋊Q₈×C₄₃	C₂²	1	1	yes	characteristic
122	C₂×C₄×Q₈×C₄₃	C₂²	1	1	yes	characteristic, complemented
123	C₂×C₄×Q₈×C₄₃	C₂²	1	1	yes	characteristic, complemented
124	C₂×C₄×Q₈×C₄₃	C₂²	1	2	yes	complemented
125	C₂×#117×C₄₃	C₂²	1	2	yes	—
126	C₂²×C₄²×C₄₃	C₂²	1	1	yes	characteristic
127	C₂⁴×D₄₃	C₂³	1	1	yes	characteristic
128	C₂²×Dic₈₆	C₂³	1	2	yes	—
129	C₂²×Dic₈₆	C₂³	1	2	yes	—
130	C₂²×Dic₈₆	C₂³	1	1	yes	characteristic
131	C₂²×D₁₇₂	C₂³	1	2	yes	—
132	C₂²×D₁₇₂	C₂³	1	2	yes	—
133	C₂²×D₁₇₂	C₂³	1	1	yes	characteristic
134	C₂²×C₂²⋊D₄₃	C₂³	1	2	yes	—
135	C₂³×Dic₄₃	C₂³	1	1	yes	characteristic
136	C₂³×Dic₄₃	C₂³	1	1	yes	characteristic
137	C₂³×Dic₄₃	C₂³	1	1	yes	characteristic
138	C₂²×C₄×D₄₃	C₂³	1	2	yes	—
139	C₂²×C₄×D₄₃	C₂³	1	2	yes	—
140	C₂²×C₄×D₄₃	C₂³	1	2	yes	—
141	C₂²×C₄×D₄₃	C₂³	1	2	yes	—
142	C₂²×C₄×D₄₃	C₂³	1	2	yes	—
143	#13063324	C₂³	1	16	yes	complemented
144	#13063323	C₂³	1	16	yes	complemented
145	#13063323	C₂³	1	16	yes	complemented
146	#13063320	C₂³	1	16	yes	—
147	#13063320	C₂³	1	16	yes	—
148	#13063320	C₂³	1	16	yes	—
149	#13063320	C₂³	1	16	yes	—
150	#13063320	C₂³	1	16	yes	complemented
151	#13063320	C₂³	1	16	yes	complemented
152	#13063319	C₂³	1	16	yes	—
153	#13063319	C₂³	1	16	yes	—
154	#13063319	C₂³	1	16	yes	—
155	#13063319	C₂³	1	16	yes	—
156	#13063319	C₂³	1	16	yes	—
157	#13063319	C₂³	1	16	yes	complemented
158	#13063319	C₂³	1	16	yes	complemented
159	#13063317	C₂³	1	16	yes	complemented
160	#13063317	C₂³	1	8	yes	complemented
161	#13063316	C₂³	1	16	yes	complemented
162	#13063315	C₂³	1	16	yes	complemented
163	#13063315	C₂³	1	16	yes	complemented
164	#13063315	C₂³	1	16	yes	complemented
165	#13063315	C₂³	1	16	yes	complemented
166	#13063315	C₂³	1	16	yes	complemented
167	#13063315	C₂³	1	16	yes	complemented
168	#13063314	C₂³	1	16	yes	—
169	#13063314	C₂³	1	16	yes	—
170	#13063313	C₂³	1	16	yes	—
171	#13063313	C₂³	1	8	yes	complemented
172	#13063310	C₂³	1	16	yes	—
173	#13063310	C₂³	1	16	yes	—
174	#13063310	C₂³	1	16	yes	—
175	#13063310	C₂³	1	16	yes	—
176	#13063310	C₂³	1	16	yes	—
177	#13063310	C₂³	1	16	yes	complemented
178	#13063309	C₂³	1	16	yes	—
179	#13063308	C₂³	1	16	yes	—
180	#13063305	C₂³	1	16	yes	—
181	#13063304	C₂³	1	8	yes	—
182	#13063303	C₂³	1	16	yes	—
183	#13063303	C₂³	1	16	yes	—
184	#13063303	C₂³	1	16	yes	—
185	#13063303	C₂³	1	16	yes	complemented
186	#13063303	C₂³	1	16	yes	complemented
187	#13063303	C₂³	1	16	yes	complemented
188	#13063302	C₂³	1	16	yes	—
189	#13063302	C₂³	1	16	yes	—
190	#13063301	C₂³	1	16	yes	—
191	#13063301	C₂³	1	16	yes	—
192	#13063301	C₂³	1	16	yes	complemented
193	#13063301	C₂³	1	16	yes	complemented
194	#13063300	C₂³	1	16	yes	—
195	#13063299	C₂³	1	8	yes	—
196	#13063295	C₂³	1	16	yes	—
197	C₄×Dic₈₆	C₂³	1	16	yes	complemented
198	C₄×Dic₈₆	C₂³	1	8	yes	complemented
199	#13063290	C₂³	1	16	yes	complemented
200	C₄×D₁₇₂	C₂³	1	16	yes	—
201	C₄×D₁₇₂	C₂³	1	8	yes	complemented
202	#13063287	C₂³	1	16	yes	—
203	C₄×C₂²⋊D₄₃	C₂³	1	16	yes	—
204	(C₂²⋊D₄₃)⋊C₄	C₂³	1	16	yes	—
205	(C₂²⋊D₄₃)⋊C₄	C₂³	1	16	yes	—
206	#13063283	C₂³	1	16	yes	—
207	#13063282	C₂³	1	16	yes	—
208	#13063282	C₂³	1	16	yes	complemented
209	#13063282	C₂³	1	16	yes	complemented
210	#13063281	C₂³	1	16	yes	—
211	C₂×C₄⋊Dic₄₃	C₂³	1	2	yes	—
212	C₂×C₄⋊Dic₄₃	C₂³	1	2	yes	—
213	C₂×C₄⋊Dic₄₃	C₂³	1	2	yes	—
214	C₂×C₄⋊Dic₄₃	C₂³	1	1	yes	characteristic
215	C₂×C₄⋊Dic₄₃	C₂³	1	1	yes	characteristic
216	C₂×C₄⋊Dic₄₃	C₂³	1	2	yes	—
217	C₂×Dic₄₃⋊C₄	C₂³	1	8	yes	—
218	C₂×Dic₄₃⋊C₄	C₂³	1	8	yes	—
219	C₂×Dic₄₃⋊C₄	C₂³	1	2	yes	—
220	C₂×Dic₄₃⋊C₄	C₂³	1	2	yes	—
221	C₂×Dic₄₃⋊C₄	C₂³	1	2	yes	—
222	C₂×Dic₄₃⋊C₄	C₂³	1	2	yes	—
223	C₂×Dic₄₃⋊C₄	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	8	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×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	C₄⋊C₄×D₄₃	C₂³	1	16	yes	complemented
239	C₂×C₂²⋊Dic₄₃	C₂³	1	2	yes	—
240	C₂×(C₂×D₄₃)⋊C₄	C₂³	1	8	yes	—
241	C₂×(C₂×D₄₃)⋊C₄	C₂³	1	8	yes	—
242	C₂×(C₂×D₄₃)⋊C₄	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	8	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	C₂²⋊C₄×D₄₃	C₂³	1	16	yes	—
262	C₂×C₄×Dic₄₃	C₂³	1	2	yes	—
263	C₂×C₄×Dic₄₃	C₂³	1	2	yes	—
264	C₂×C₄×Dic₄₃	C₂³	1	2	yes	—
265	C₂×C₄×Dic₄₃	C₂³	1	2	yes	—
266	C₂×C₄×Dic₄₃	C₂³	1	2	yes	—
267	C₂²×Q₈×C₄₃	C₂³	1	1	yes	characteristic
268	C₂²×Q₈×C₄₃	C₂³	1	2	yes	—
269	C₂²×Q₈×C₄₃	C₂³	1	1	yes	characteristic
270	C₂³×C₄×C₄₃	C₂³	1	1	yes	characteristic
271	C₂³×C₄×C₄₃	C₂³	1	1	yes	characteristic
272	C₂³×C₄×C₄₃	C₂³	1	1	yes	characteristic
273	C₄⋊Q₈×C₄₃	C₂³	1	8	yes	complemented
274	C₄⋊Q₈×C₄₃	C₂³	1	8	yes	complemented
275	#125×C₄₃	C₂³	1	16	yes	complemented
276	C₂²⋊Q₈×C₄₃	C₂³	1	16	yes	—
277	C₂²⋊Q₈×C₄₃	C₂³	1	8	yes	—
278	C₂²⋊Q₈×C₄₃	C₂³	1	8	yes	—
279	C₄×Q₈×C₄₃	C₂³	1	8	yes	complemented
280	C₄×Q₈×C₄₃	C₂³	1	8	yes	complemented
281	C₄×Q₈×C₄₃	C₂³	1	16	yes	complemented
282	#117×C₄₃	C₂³	1	16	yes	—
283	C₂×C₄⋊C₄×C₄₃	C₂³	1	2	yes	—
284	C₂×C₄⋊C₄×C₄₃	C₂³	1	2	yes	—
285	C₂×C₄⋊C₄×C₄₃	C₂³	1	2	yes	—
286	C₂×C₄⋊C₄×C₄₃	C₂³	1	2	yes	—
287	C₂×C₄⋊C₄×C₄₃	C₂³	1	2	yes	—
288	C₂×C₄⋊C₄×C₄₃	C₂³	1	2	yes	—
289	C₂×C₄⋊C₄×C₄₃	C₂³	1	1	yes	characteristic
290	C₂×C₄⋊C₄×C₄₃	C₂³	1	2	yes	—
291	C₂×C₄⋊C₄×C₄₃	C₂³	1	1	yes	characteristic
292	C₂×C₂²⋊C₄×C₄₃	C₂³	1	2	yes	—
293	C₂×C₂²⋊C₄×C₄₃	C₂³	1	2	yes	—
294	C₂×C₄²×C₄₃	C₂³	1	1	yes	characteristic
295	C₂×C₄²×C₄₃	C₂³	1	1	yes	characteristic
296	C₂×C₄²×C₄₃	C₂³	1	1	yes	characteristic
297	C₂×C₄²×C₄₃	C₂³	1	1	yes	characteristic
298	C₂×C₄²×C₄₃	C₂³	1	8	yes	—
299	C₂×C₄²×C₄₃	C₂³	1	2	yes	—
300	C₂×C₄²×C₄₃	C₂³	1	2	yes	—
301	C₂⁴×C₄₃	C₂⁴	1	1	yes	characteristic
302	C₂³×D₄₃	—	2	4	no	—
303	C₂³×D₄₃	—	4	2	no	—
304	C₂³×D₄₃	—	4	2	no	—
305	C₂³×D₄₃	C₂⁴	1	2	yes	—
306	C₂³×D₄₃	C₂⁴	1	2	yes	—
307	C₂³×D₄₃	C₂⁴	1	4	yes	—
308	C₂×Q₈×C₄₃	—	4	4	no	—
309	C₂×Q₈×C₄₃	—	4	2	no	—
310	C₂×Q₈×C₄₃	—	4	2	no	—
311	C₂×Q₈×C₄₃	C₂⁴	1	4	yes	—
312	C₂×Q₈×C₄₃	C₂⁴	1	8	yes	—
313	C₂×Q₈×C₄₃	C₂⁴	1	4	yes	—
314	C₂²×C₄×C₄₃	—	2	4	no	—
315	C₂²×C₄×C₄₃	—	4	2	no	—
316	C₂²×C₄×C₄₃	—	4	2	no	—
317	C₂²×C₄×C₄₃	C₂⁴	1	1	yes	characteristic
318	C₂²×C₄×C₄₃	C₂⁴	1	1	yes	characteristic
319	C₂²×C₄×C₄₃	C₂⁴	1	1	yes	characteristic
320	C₂²×C₄×C₄₃	C₂⁴	1	1	yes	characteristic
321	C₂²×C₄×C₄₃	C₂⁴	1	1	yes	characteristic
322	C₂²×C₄×C₄₃	C₂⁴	1	1	yes	characteristic
323	C₂²×C₄×C₄₃	C₂⁴	1	4	yes	—
324	C₂²×C₄×C₄₃	C₂⁴	1	2	yes	—
325	C₂²×C₄×C₄₃	C₂⁴	1	2	yes	—
326	C₂²×C₄×C₄₃	C₂⁴	1	2	yes	—
327	C₂²×C₄×C₄₃	C₂⁴	1	2	yes	—
328	C₂²×C₄×C₄₃	C₂⁴	1	4	yes	—
329	C₂²×C₄×C₄₃	C₂⁴	1	4	yes	—
330	C₂×C₂²⋊D₄₃	—	2	8	no	—
331	C₂×C₂²⋊D₄₃	C₂⁴	1	8	yes	—
332	C₂²×Dic₄₃	—	2	4	no	—
333	C₂²×Dic₄₃	—	4	2	no	—
334	C₂²×Dic₄₃	—	4	2	no	—
335	C₂²×Dic₄₃	C₂⁴	1	2	yes	—
336	C₂²×Dic₄₃	C₂⁴	1	2	yes	—
337	C₂²×Dic₄₃	C₂⁴	1	2	yes	—
338	C₂²×Dic₄₃	C₂⁴	1	2	yes	—
339	C₂²×Dic₄₃	C₂⁴	1	2	yes	—
340	C₂²×Dic₄₃	C₂⁴	1	2	yes	—
341	C₂²×Dic₄₃	C₂⁴	1	4	yes	—
342	C₂²×Dic₄₃	C₂⁴	1	4	yes	—
343	C₂²×Dic₄₃	C₂⁴	1	4	yes	—
344	C₂×D₁₇₂	—	4	4	no	—
345	C₂×D₁₇₂	—	4	2	no	—
346	C₂×D₁₇₂	—	4	4	no	—
347	C₂×D₁₇₂	C₂⁴	1	8	yes	—
348	C₂×D₁₇₂	C₂⁴	1	8	yes	—
349	C₂×D₁₇₂	C₂⁴	1	4	yes	—
350	C₂×C₄×D₄₃	—	4	4	no	—
351	C₂×C₄×D₄₃	—	4	4	no	—
352	C₂×C₄×D₄₃	—	4	4	no	—
353	C₂×C₄×D₄₃	—	4	4	no	—
354	C₂×C₄×D₄₃	—	4	4	no	—
355	C₂×C₄×D₄₃	C₂⁴	1	8	yes	—
356	C₂×C₄×D₄₃	C₂⁴	1	8	yes	—
357	C₂×C₄×D₄₃	C₂⁴	1	8	yes	—
358	C₂×C₄×D₄₃	C₂⁴	1	8	yes	—
359	C₂×C₄×D₄₃	C₂⁴	1	8	yes	—
360	C₂×Dic₈₆	—	4	2	no	—
361	C₂×Dic₈₆	—	4	4	no	—
362	C₂×Dic₈₆	—	4	4	no	—
363	C₂×Dic₈₆	C₂⁴	1	8	yes	—
364	C₂×Dic₈₆	C₂⁴	1	8	yes	—
365	C₂×Dic₈₆	C₂⁴	1	4	yes	—
366	C₄⋊C₄×C₄₃	C₂⁴	1	8	yes	—
367	C₄⋊C₄×C₄₃	C₂⁴	1	8	yes	—
368	C₄⋊C₄×C₄₃	C₂⁴	1	8	yes	—
369	C₄⋊C₄×C₄₃	C₂⁴	1	8	yes	—
370	C₄⋊C₄×C₄₃	C₂⁴	1	8	yes	—
371	C₄⋊C₄×C₄₃	C₂⁴	1	8	yes	—
372	C₄⋊C₄×C₄₃	C₂⁴	1	4	yes	—
373	C₄⋊C₄×C₄₃	C₂⁴	1	8	yes	—
374	C₄⋊C₄×C₄₃	C₂⁴	1	4	yes	—
375	C₂²⋊C₄×C₄₃	C₂⁴	1	8	yes	—
376	C₂²⋊C₄×C₄₃	C₂⁴	1	8	yes	—
377	C₄²×C₄₃	C₂⁴	1	4	yes	—
378	C₄²×C₄₃	C₂⁴	1	4	yes	—
379	C₄²×C₄₃	C₂⁴	1	4	yes	—
380	C₄²×C₄₃	C₂⁴	1	4	yes	—
381	C₄²×C₄₃	C₂⁴	1	8	yes	—
382	C₄²×C₄₃	C₂⁴	1	8	yes	—
383	C₂²⋊Dic₄₃	C₂⁴	1	8	yes	—
384	(C₂×D₄₃)⋊C₄	C₂⁴	1	8	yes	—
385	(C₂×D₄₃)⋊C₄	C₂⁴	1	8	yes	—
386	(C₂×D₄₃)⋊C₄	C₂⁴	1	8	yes	—
387	(C₂×D₄₃)⋊C₄	C₂⁴	1	8	yes	—
388	(C₂×D₄₃)⋊C₄	C₂⁴	1	8	yes	—
389	(C₂×D₄₃)⋊C₄	C₂⁴	1	8	yes	—
390	(C₂×D₄₃)⋊C₄	C₂⁴	1	8	yes	—
391	(C₂×D₄₃)⋊C₄	C₂⁴	1	8	yes	—
392	(C₂×D₄₃)⋊C₄	C₂⁴	1	8	yes	—
393	(C₂×D₄₃)⋊C₄	C₂⁴	1	8	yes	—
394	(C₂×D₄₃)⋊C₄	C₂⁴	1	8	yes	—
395	(C₂×D₄₃)⋊C₄	C₂⁴	1	8	yes	—
396	(C₂×D₄₃)⋊C₄	C₂⁴	1	8	yes	—
397	(C₂×D₄₃)⋊C₄	C₂⁴	1	8	yes	—
398	(C₂×D₄₃)⋊C₄	C₂⁴	1	8	yes	—
399	(C₂×D₄₃)⋊C₄	C₂⁴	1	8	yes	—
400	(C₂×D₄₃)⋊C₄	C₂⁴	1	8	yes	—
401	(C₂×D₄₃)⋊C₄	C₂⁴	1	8	yes	—
402	C₄⋊Dic₄₃	C₂⁴	1	8	yes	—
403	C₄⋊Dic₄₃	C₂⁴	1	8	yes	—
404	C₄⋊Dic₄₃	C₂⁴	1	8	yes	—
405	C₄⋊Dic₄₃	C₂⁴	1	4	yes	—
406	C₄⋊Dic₄₃	C₂⁴	1	4	yes	—
407	C₄⋊Dic₄₃	C₂⁴	1	8	yes	—
408	Dic₄₃⋊C₄	C₂⁴	1	8	yes	—
409	Dic₄₃⋊C₄	C₂⁴	1	8	yes	—
410	Dic₄₃⋊C₄	C₂⁴	1	8	yes	—
411	Dic₄₃⋊C₄	C₂⁴	1	8	yes	—
412	Dic₄₃⋊C₄	C₂⁴	1	8	yes	—
413	Dic₄₃⋊C₄	C₂⁴	1	8	yes	—
414	Dic₄₃⋊C₄	C₂⁴	1	8	yes	—
415	Dic₄₃⋊C₄	C₂⁴	1	8	yes	—
416	Dic₄₃⋊C₄	C₂⁴	1	8	yes	—
417	Dic₄₃⋊C₄	C₂⁴	1	8	yes	—
418	Dic₄₃⋊C₄	C₂⁴	1	8	yes	—
419	Dic₄₃⋊C₄	C₂⁴	1	8	yes	—
420	Dic₄₃⋊C₄	C₂⁴	1	8	yes	—
421	Dic₄₃⋊C₄	C₂⁴	1	8	yes	—
422	Dic₄₃⋊C₄	C₂⁴	1	8	yes	—
423	Dic₄₃⋊C₄	C₂⁴	1	8	yes	—
424	Dic₄₃⋊C₄	C₂⁴	1	8	yes	—
425	Dic₄₃⋊C₄	C₂⁴	1	8	yes	—
426	C₄×Dic₄₃	C₂⁴	1	8	yes	—
427	C₄×Dic₄₃	C₂⁴	1	8	yes	—
428	C₄×Dic₄₃	C₂⁴	1	8	yes	—
429	C₄×Dic₄₃	C₂⁴	1	8	yes	—
430	C₄×Dic₄₃	C₂⁴	1	8	yes	—
431	C₂³×C₄₃	—	2	2	no	—
432	C₂³×C₄₃	—	2	2	no	—
433	C₂³×C₄₃	2₋¹⁺⁴	1	4	yes	—
434	C₂³×C₄₃	C₂⁵	1	2	yes	—
435	C₂³×C₄₃	C₂⁵	1	1	yes	characteristic
436	C₂²×D₄₃	—	2	4	no	—
437	C₂²×D₄₃	—	2	4	no	—
438	C₂²×D₄₃	—	2	4	no	—
439	C₂²×D₄₃	—	2	4	no	—
440	C₂²×D₄₃	—	2	4	no	—
441	C₂²×D₄₃	—	2	4	no	—
442	C₂²×D₄₃	—	2	8	no	—
443	C₂²×D₄₃	—	4	4	no	—
444	C₂²×D₄₃	—	4	4	no	—
445	C₂²×D₄₃	—	8	8	no	—
446	C₂²×D₄₃	C₂⁵	1	4	yes	—
447	C₂²×D₄₃	C₂⁵	1	4	yes	—
448	Q₈×C₄₃	—	4	8	no	—
449	Q₈×C₄₃	—	4	4	no	—
450	Q₈×C₄₃	—	4	4	no	—
451	C₂×C₄×C₄₃	—	2	8	no	—
452	C₂×C₄×C₄₃	—	2	2	no	—
453	C₂×C₄×C₄₃	—	2	2	no	—
454	C₂×C₄×C₄₃	—	2	4	no	—
455	C₂×C₄×C₄₃	—	2	2	no	—
456	C₂×C₄×C₄₃	—	2	4	no	—
457	C₂×C₄×C₄₃	—	2	2	no	—
458	C₂×C₄×C₄₃	—	2	4	no	—
459	C₂×C₄×C₄₃	—	2	4	no	—
460	C₂×C₄×C₄₃	—	2	2	no	—
461	C₂×C₄×C₄₃	—	2	2	no	—
462	C₂×C₄×C₄₃	—	4	4	no	—
463	C₂×C₄×C₄₃	—	4	4	no	—
464	C₂×C₄×C₄₃	C₂⁵	1	2	yes	—
465	C₂×C₄×C₄₃	C₂⁵	1	4	yes	—
466	C₂×C₄×C₄₃	C₂⁵	1	4	yes	—
467	C₂×C₄×C₄₃	C₂⁵	1	4	yes	—
468	C₂×C₄×C₄₃	C₂⁵	1	2	yes	—
469	C₂×C₄×C₄₃	C₂⁵	1	2	yes	—
470	C₂×C₄×C₄₃	C₂⁵	1	2	yes	—
471	C₂×C₄×C₄₃	C₂⁵	1	2	yes	—
472	C₂×C₄×C₄₃	C₂⁵	1	2	yes	—
473	C₂×C₄×C₄₃	C₂⁵	1	4	yes	—
474	C₂²⋊D₄₃	—	2	16	no	—
475	C₂×Dic₄₃	—	2	8	no	—
476	C₂×Dic₄₃	—	2	4	no	—
477	C₂×Dic₄₃	—	2	4	no	—
478	C₂×Dic₄₃	—	2	4	no	—
479	C₂×Dic₄₃	—	2	4	no	—
480	C₂×Dic₄₃	—	2	4	no	—
481	C₂×Dic₄₃	—	2	4	no	—
482	C₂×Dic₄₃	—	4	4	no	—
483	C₂×Dic₄₃	—	4	4	no	—
484	C₂×Dic₄₃	C₂⁵	1	4	yes	—
485	C₂×Dic₄₃	C₂⁵	1	4	yes	—
486	C₂×Dic₄₃	C₂⁵	1	4	yes	—
487	C₂×Dic₄₃	C₂⁵	1	4	yes	—
488	C₂×Dic₄₃	C₂⁵	1	4	yes	—
489	C₂×Dic₄₃	C₂⁵	1	4	yes	—
490	D₁₇₂	—	4	4	no	—
491	D₁₇₂	—	4	8	no	—
492	D₁₇₂	—	4	8	no	—
493	C₄×D₄₃	—	4	8	no	—
494	C₄×D₄₃	—	4	8	no	—
495	C₄×D₄₃	—	4	8	no	—
496	C₄×D₄₃	—	4	8	no	—
497	C₄×D₄₃	—	4	8	no	—
498	Dic₈₆	—	4	4	no	—
499	Dic₈₆	—	4	8	no	—
500	Dic₈₆	—	4	8	no	—
501	C₂×#3564	—	43	1	no	maximal, Sylow
502	C₂²×C₄₃	—	2	2	no	—
503	C₂²×C₄₃	—	2	2	no	—
504	C₂²×C₄₃	—	2	8	no	—
505	C₂²×C₄₃	C₂×2₋¹⁺⁴	1	4	yes	—
506	C₂²×C₄₃	C₂×2₋¹⁺⁴	1	2	yes	—
507	C₂²×C₄₃	#585	1	2	yes	—
508	C₂²×C₄₃	#585	1	2	yes	—
509	C₂²×C₄₃	C₂⁶	1	1	yes	characteristic
510	C₂×D₄₃	—	2	4	no	—
511	C₂×D₄₃	—	2	4	no	—
512	C₂×D₄₃	—	2	4	no	—
513	C₂×D₄₃	—	2	4	no	—
514	C₂×D₄₃	—	2	4	no	—
515	C₂×D₄₃	—	2	4	no	—
516	C₂×D₄₃	—	4	8	no	—
517	C₂×D₄₃	—	4	8	no	—
518	C₂×D₄₃	—	8	8	no	—
519	C₄×C₄₃	—	2	2	no	—
520	C₄×C₄₃	—	2	2	no	—
521	C₄×C₄₃	—	2	4	no	—
522	C₄×C₄₃	—	2	2	no	—
523	C₄×C₄₃	—	2	4	no	—
524	C₄×C₄₃	—	2	2	no	—
525	C₄×C₄₃	—	2	4	no	—
526	C₄×C₄₃	—	2	4	no	—
527	C₄×C₄₃	—	2	2	no	—
528	C₄×C₄₃	—	2	2	no	—
529	Dic₄₃	—	2	4	no	—
530	Dic₄₃	—	2	4	no	—
531	Dic₄₃	—	2	4	no	—
532	Dic₄₃	—	2	4	no	—
533	Dic₄₃	—	2	4	no	—
534	Dic₄₃	—	2	4	no	—
535	#3564	—	43	32	no	—
536	C₂×#563	—	43	2	no	—
537	C₂×#563	—	43	2	no	—
538	C₂×#556	—	43	2	no	—
539	C₂×#554	—	43	2	no	—
540	C₂×#552	—	43	2	no	—
541	C₂×#552	—	43	2	no	—
542	C₂×#551	—	43	2	no	—
543	C₂×#551	—	43	2	no	—
544	C₂×#544	—	43	1	no	—
545	C₂×#543	—	43	1	no	—
546	C₂×#542	—	43	2	no	—
547	C₂×#541	—	43	2	no	—
548	C₂×#541	—	43	2	no	—
549	C₂×#539	—	43	2	no	—
550	C₂×#539	—	43	1	no	—
551	C₂×#538	—	43	1	no	—
552	C₂×#533	D₄₃	1	1	yes	characteristic, complemented
553	C₂×#529	—	43	1	no	—
554	C₂²×#126	—	43	1	no	—
555	C₂×C₄₃	—	2	4	no	—
556	C₂×C₄₃	#3564	1	4	yes	complemented
557	C₂×C₄₃	C₂²×2₋¹⁺⁴	1	1	yes	characteristic
558	C₂×C₄₃	C₂×#585	1	1	yes	characteristic
559	C₂×C₄₃	C₂×#585	1	1	yes	characteristic
560	D₄₃	—	4	4	no	—
561	D₄₃	—	4	4	no	—
562	#563	—	43	32	no	—
563	#563	—	43	32	no	—
564	#556	—	43	32	no	—
565	#554	—	43	32	no	—
566	#552	—	43	32	no	—
567	#552	—	43	32	no	—
568	#551	—	43	32	no	—
569	#551	—	43	32	no	—
570	#544	—	43	16	no	—
571	#543	—	43	16	no	—
572	#542	—	43	32	no	—
573	#541	—	43	32	no	—
574	#541	—	43	32	no	—
575	#539	—	43	32	no	—
576	#539	—	43	16	no	—
577	#538	—	43	16	no	—
578	#533	C₂×D₄₃	1	16	yes	complemented
579	C₂×C₄⋊Q₈	—	43	2	no	—
580	C₂×C₄⋊Q₈	—	43	2	no	—
581	C₂×C₄⋊Q₈	—	43	2	no	—
582	C₂×C₄⋊Q₈	C₂×D₄₃	1	1	yes	characteristic, complemented
583	C₂×C₄⋊Q₈	C₂×D₄₃	1	1	yes	characteristic, complemented
584	#529	—	43	16	no	—
585	C₂×#126	—	43	2	no	—
586	C₂×#126	—	43	2	no	—
587	C₂×#126	—	43	2	no	—
588	C₂×#126	—	43	2	no	—
589	C₂×#126	—	43	2	no	—
590	C₂×#126	—	43	2	no	—
591	C₂×#126	—	43	2	no	—
592	C₂×#126	—	43	2	no	—
593	C₂×#126	—	43	2	no	—
594	C₂×#126	—	43	2	no	—
595	C₂×#126	—	43	16	no	—
596	C₂×#126	—	43	2	no	—
597	C₂×#126	—	43	2	no	—
598	C₂×#126	—	43	2	no	—
599	C₂×#125	—	43	2	no	—
600	C₂×#125	—	43	2	no	—
601	C₂×#125	—	43	2	no	—
602	C₂×#125	—	43	2	no	—
603	C₂×#125	—	43	2	no	—
604	C₂×#125	—	43	2	no	—
605	C₂×#125	—	43	2	no	—
606	C₂×#125	—	43	1	no	—
607	C₂×#125	—	43	2	no	—
608	C₂×#125	C₂×D₄₃	1	2	yes	complemented
609	C₂×#124	—	43	2	no	—
610	C₂×#124	—	43	2	no	—
611	C₂×#124	—	43	1	no	—
612	C₂×#124	—	43	2	no	—
613	C₂×#123	—	43	2	no	—
614	C₂×#123	—	43	2	no	—
615	C₂×#123	—	43	2	no	—
616	C₂×#123	—	43	2	no	—
617	C₂×#123	—	43	2	no	—
618	C₂×#123	—	43	2	no	—
619	C₂×#123	—	43	2	no	—
620	C₂×#123	—	43	2	no	—
621	C₂×C₂²⋊Q₈	—	43	2	no	—
622	C₂×C₂²⋊Q₈	—	43	2	no	—
623	C₂×C₂²⋊Q₈	—	43	2	no	—
624	C₂×C₂²⋊Q₈	—	43	2	no	—
625	C₂×C₂²⋊Q₈	—	43	1	no	—
626	C₂×C₂²⋊Q₈	—	43	2	no	—
627	C₂×C₂²⋊Q₈	—	43	2	no	—
628	C₂×C₂²⋊Q₈	—	43	2	no	—
629	C₂×C₂²⋊Q₈	—	43	2	no	—
630	C₂×C₂²⋊Q₈	—	43	2	no	—
631	C₂×C₂²⋊Q₈	—	43	2	no	—
632	C₂×C₂²⋊Q₈	—	43	2	no	—
633	C₂×C₂²⋊Q₈	—	43	2	no	—
634	C₂×C₂²⋊Q₈	—	43	2	no	—
635	C₂×C₂²⋊Q₈	C₂×D₄₃	1	1	yes	characteristic
636	C₂×C₂²⋊Q₈	C₂×D₄₃	1	1	yes	characteristic
637	C₂×C₂²⋊Q₈	C₂×D₄₃	1	2	yes	—
638	C₂×#121	—	43	1	no	—
639	C₂×#121	—	43	2	no	—
640	C₂×#120	—	43	2	no	—
641	C₂×C₄×Q₈	—	43	2	no	—
642	C₂×C₄×Q₈	—	43	1	no	—
643	C₂×C₄×Q₈	—	43	2	no	—
644	C₂×C₄×Q₈	C₂×D₄₃	1	2	yes	complemented
645	C₂×C₄×Q₈	C₂×D₄₃	1	1	yes	characteristic, complemented
646	C₂×C₄×Q₈	C₂×D₄₃	1	1	yes	characteristic, complemented
647	C₂×C₄×D₄	—	43	2	no	—
648	C₂×C₄×D₄	—	43	2	no	—
649	C₂×C₄×D₄	—	43	2	no	—
650	C₂×C₄×D₄	—	43	2	no	—
651	C₂×C₄×D₄	—	43	2	no	—
652	C₂×C₄×D₄	—	43	1	no	—
653	C₂×#117	—	43	2	no	—
654	C₂×#117	—	43	2	no	—
655	C₂×#117	—	43	2	no	—
656	C₂×#117	—	43	2	no	—
657	C₂×#117	—	43	2	no	—
658	C₂×#117	C₂×D₄₃	1	2	yes	—
659	C₂²×C₄⋊C₄	—	43	1	no	—
660	C₂²×C₄⋊C₄	—	43	1	no	—
661	C₂²×C₄⋊C₄	—	43	1	no	—
662	C₂²×C₄⋊C₄	—	43	2	no	—
663	C₂²×C₂²⋊C₄	—	43	1	no	—
664	C₂²×C₂²⋊C₄	—	43	1	no	—
665	C₂²×C₂²⋊C₄	—	43	1	no	—
666	C₂²×C₂²⋊C₄	—	43	2	no	—
667	C₂²×C₄²	C₂×D₄₃	1	1	yes	characteristic
668	C₄₃	C₂×#3564	1	1	yes	characteristic, complemented, Sylow
669	C₂⁵	—	43	1	no	—
670	C₂²×Q₈	—	43	2	no	—
671	C₂²×Q₈	—	43	1	no	—
672	C₂²×Q₈	—	43	2	no	—
673	C₂²×Q₈	C₂²×D₄₃	1	1	yes	characteristic
674	C₂²×Q₈	C₂²×D₄₃	1	2	yes	—
675	C₂²×Q₈	C₂²×D₄₃	1	1	yes	characteristic
676	C₂²×D₄	—	43	2	no	—
677	C₂²×D₄	—	43	2	no	—
678	C₂²×D₄	—	43	2	no	—
679	C₂²×D₄	—	43	1	no	—
680	C₂³×C₄	—	43	1	no	—
681	C₂³×C₄	—	43	1	no	—
682	C₂³×C₄	—	43	1	no	—
683	C₂³×C₄	—	43	2	no	—
684	C₂³×C₄	—	43	2	no	—
685	C₂³×C₄	—	43	2	no	—
686	C₂³×C₄	—	43	2	no	—
687	C₂³×C₄	—	43	2	no	—
688	C₂³×C₄	C₂²×D₄₃	1	1	yes	characteristic
689	C₂³×C₄	C₂²×D₄₃	1	1	yes	characteristic
690	C₂³×C₄	C₂²×D₄₃	1	1	yes	characteristic
691	C₄⋊Q₈	—	43	16	no	—
692	C₄⋊Q₈	—	43	16	no	—
693	C₄⋊Q₈	—	43	16	no	—
694	C₄⋊Q₈	C₂²×D₄₃	1	8	yes	complemented
695	C₄⋊Q₈	C₂²×D₄₃	1	8	yes	complemented
696	#126	—	43	16	no	—
697	#126	—	43	16	no	—
698	#126	—	43	16	no	—
699	#126	—	43	16	no	—
700	#126	—	43	16	no	—
701	#126	—	43	16	no	—
702	#126	—	43	16	no	—
703	#126	—	43	16	no	—
704	#126	—	43	16	no	—
705	#126	—	43	16	no	—
706	#126	—	43	16	no	—
707	#126	—	43	16	no	—
708	#126	—	43	16	no	—
709	#125	—	43	16	no	—
710	#125	—	43	16	no	—
711	#125	—	43	16	no	—
712	#125	—	43	16	no	—
713	#125	—	43	16	no	—
714	#125	—	43	16	no	—
715	#125	—	43	16	no	—
716	#125	—	43	8	no	—
717	#125	—	43	16	no	—
718	#125	C₂²×D₄₃	1	16	yes	complemented
719	#124	—	43	16	no	—
720	#124	—	43	16	no	—
721	#124	—	43	8	no	—
722	#124	—	43	16	no	—
723	#123	—	43	16	no	—
724	#123	—	43	16	no	—
725	#123	—	43	16	no	—
726	#123	—	43	16	no	—
727	#123	—	43	16	no	—
728	#123	—	43	16	no	—
729	#123	—	43	16	no	—
730	#123	—	43	16	no	—
731	C₂²⋊Q₈	—	43	16	no	—
732	C₂²⋊Q₈	—	43	16	no	—
733	C₂²⋊Q₈	—	43	16	no	—
734	C₂²⋊Q₈	—	43	16	no	—
735	C₂²⋊Q₈	—	43	8	no	—
736	C₂²⋊Q₈	—	43	16	no	—
737	C₂²⋊Q₈	—	43	16	no	—
738	C₂²⋊Q₈	—	43	16	no	—
739	C₂²⋊Q₈	—	43	16	no	—
740	C₂²⋊Q₈	—	43	16	no	—
741	C₂²⋊Q₈	—	43	16	no	—
742	C₂²⋊Q₈	—	43	16	no	—
743	C₂²⋊Q₈	—	43	16	no	—
744	C₂²⋊Q₈	—	43	16	no	—
745	C₂²⋊Q₈	C₂²×D₄₃	1	8	yes	—
746	C₂²⋊Q₈	C₂²×D₄₃	1	8	yes	—
747	C₂²⋊Q₈	C₂²×D₄₃	1	16	yes	—
748	#121	—	43	8	no	—
749	#121	—	43	16	no	—
750	#120	—	43	16	no	—
751	C₄×Q₈	—	43	16	no	—
752	C₄×Q₈	—	43	8	no	—
753	C₄×Q₈	—	43	16	no	—
754	C₄×Q₈	C₂²×D₄₃	1	16	yes	complemented
755	C₄×Q₈	C₂²×D₄₃	1	8	yes	complemented
756	C₄×Q₈	C₂²×D₄₃	1	8	yes	complemented
757	C₄×D₄	—	43	16	no	—
758	C₄×D₄	—	43	16	no	—
759	C₄×D₄	—	43	16	no	—
760	C₄×D₄	—	43	16	no	—
761	C₄×D₄	—	43	8	no	—
762	C₄×D₄	—	43	16	no	—
763	#117	—	43	16	no	—
764	#117	—	43	16	no	—
765	#117	—	43	16	no	—
766	#117	—	43	16	no	—
767	#117	—	43	16	no	—
768	#117	C₂²×D₄₃	1	16	yes	—
769	C₂×C₄⋊C₄	—	43	2	no	—
770	C₂×C₄⋊C₄	—	43	2	no	—
771	C₂×C₄⋊C₄	—	43	2	no	—
772	C₂×C₄⋊C₄	—	43	2	no	—
773	C₂×C₄⋊C₄	—	43	2	no	—
774	C₂×C₄⋊C₄	—	43	2	no	—
775	C₂×C₄⋊C₄	—	43	2	no	—
776	C₂×C₄⋊C₄	—	43	2	no	—
777	C₂×C₄⋊C₄	—	43	8	no	—
778	C₂×C₄⋊C₄	—	43	8	no	—
779	C₂×C₄⋊C₄	—	43	8	no	—
780	C₂×C₄⋊C₄	—	43	2	no	—
781	C₂×C₄⋊C₄	—	43	2	no	—
782	C₂×C₄⋊C₄	—	43	2	no	—
783	C₂×C₄⋊C₄	—	43	2	no	—
784	C₂×C₄⋊C₄	—	43	2	no	—
785	C₂×C₄⋊C₄	—	43	2	no	—
786	C₂×C₄⋊C₄	—	43	2	no	—
787	C₂×C₄⋊C₄	—	43	1	no	—
788	C₂×C₄⋊C₄	—	43	2	no	—
789	C₂×C₄⋊C₄	—	43	2	no	—
790	C₂×C₄⋊C₄	—	43	2	no	—
791	C₂×C₄⋊C₄	—	43	2	no	—
792	C₂×C₄⋊C₄	—	43	1	no	—
793	C₂×C₄⋊C₄	—	43	2	no	—
794	C₂×C₄⋊C₄	—	43	2	no	—
795	C₂×C₄⋊C₄	—	43	2	no	—
796	C₂×C₄⋊C₄	—	43	16	no	—
797	C₂×C₄⋊C₄	C₂²×D₄₃	1	2	yes	—
798	C₂×C₄⋊C₄	C₂²×D₄₃	1	2	yes	—
799	C₂×C₄⋊C₄	C₂²×D₄₃	1	2	yes	—
800	C₂×C₄⋊C₄	C₂²×D₄₃	1	2	yes	—
801	C₂×C₄⋊C₄	C₂²×D₄₃	1	2	yes	—
802	C₂×C₄⋊C₄	C₂²×D₄₃	1	2	yes	—
803	C₂×C₄⋊C₄	C₂²×D₄₃	1	1	yes	characteristic
804	C₂×C₄⋊C₄	C₂²×D₄₃	1	2	yes	—
805	C₂×C₄⋊C₄	C₂²×D₄₃	1	1	yes	characteristic
806	C₂×C₂²⋊C₄	—	43	2	no	—
807	C₂×C₂²⋊C₄	—	43	2	no	—
808	C₂×C₂²⋊C₄	—	43	2	no	—
809	C₂×C₂²⋊C₄	—	43	2	no	—
810	C₂×C₂²⋊C₄	—	43	2	no	—
811	C₂×C₂²⋊C₄	—	43	2	no	—
812	C₂×C₂²⋊C₄	—	43	2	no	—
813	C₂×C₂²⋊C₄	—	43	2	no	—
814	C₂×C₂²⋊C₄	—	43	2	no	—
815	C₂×C₂²⋊C₄	—	43	8	no	—
816	C₂×C₂²⋊C₄	—	43	8	no	—
817	C₂×C₂²⋊C₄	—	43	8	no	—
818	C₂×C₂²⋊C₄	—	43	2	no	—
819	C₂×C₂²⋊C₄	—	43	2	no	—
820	C₂×C₂²⋊C₄	—	43	2	no	—
821	C₂×C₂²⋊C₄	—	43	2	no	—
822	C₂×C₂²⋊C₄	—	43	2	no	—
823	C₂×C₂²⋊C₄	—	43	2	no	—
824	C₂×C₂²⋊C₄	—	43	2	no	—
825	C₂×C₂²⋊C₄	—	43	2	no	—
826	C₂×C₂²⋊C₄	—	43	2	no	—
827	C₂×C₂²⋊C₄	—	43	2	no	—
828	C₂×C₂²⋊C₄	—	43	16	no	—
829	C₂×C₂²⋊C₄	C₂²×D₄₃	1	2	yes	—
830	C₂×C₂²⋊C₄	C₂²×D₄₃	1	2	yes	—
831	C₂×C₄²	—	43	2	no	—
832	C₂×C₄²	—	43	2	no	—
833	C₂×C₄²	—	43	2	no	—
834	C₂×C₄²	—	43	2	no	—
835	C₂×C₄²	—	43	2	no	—
836	C₂×C₄²	C₂²×D₄₃	1	1	yes	characteristic
837	C₂×C₄²	C₂²×D₄₃	1	2	yes	—
838	C₂×C₄²	C₂²×D₄₃	1	2	yes	—
839	C₂×C₄²	C₂²×D₄₃	1	1	yes	characteristic
840	C₂×C₄²	C₂²×D₄₃	1	1	yes	characteristic
841	C₂×C₄²	C₂²×D₄₃	1	1	yes	characteristic
842	C₂×C₄²	C₂²×D₄₃	1	8	yes	—
843	C₂⁴	—	43	2	no	—
844	C₂⁴	—	43	2	no	—
845	C₂⁴	—	43	4	no	—
846	C₂⁴	—	86	4	no	—
847	C₂⁴	—	172	2	no	—
848	C₂⁴	—	172	2	no	—
849	C₂⁴	C₂³×D₄₃	1	1	yes	characteristic
850	C₂×Q₈	—	4	2	no	—
851	C₂×Q₈	—	4	4	no	—
852	C₂×Q₈	—	4	2	no	—
853	C₂×Q₈	—	43	8	no	—
854	C₂×Q₈	—	43	4	no	—
855	C₂×Q₈	—	43	8	no	—
856	C₂×Q₈	—	172	2	no	—
857	C₂×Q₈	—	172	4	no	—
858	C₂×Q₈	—	172	4	no	—
859	C₂×Q₈	C₂³×D₄₃	1	4	yes	—
860	C₂×Q₈	C₂³×D₄₃	1	8	yes	—
861	C₂×Q₈	C₂³×D₄₃	1	4	yes	—
862	C₂×D₄	—	43	8	no	—
863	C₂×D₄	—	43	8	no	—
864	C₂×D₄	—	43	8	no	—
865	C₂×D₄	—	43	4	no	—
866	C₂×D₄	—	86	8	no	—
867	C₂×D₄	—	172	2	no	—
868	C₂×D₄	—	172	4	no	—
869	C₂×D₄	—	172	4	no	—
870	C₂²×C₄	—	2	4	no	—
871	C₂²×C₄	—	4	2	no	—
872	C₂²×C₄	—	4	2	no	—
873	C₂²×C₄	—	43	4	no	—
874	C₂²×C₄	—	43	2	no	—
875	C₂²×C₄	—	43	2	no	—
876	C₂²×C₄	—	43	2	no	—
877	C₂²×C₄	—	43	2	no	—
878	C₂²×C₄	—	43	2	no	—
879	C₂²×C₄	—	43	2	no	—
880	C₂²×C₄	—	43	4	no	—
881	C₂²×C₄	—	43	4	no	—
882	C₂²×C₄	—	43	8	no	—
883	C₂²×C₄	—	43	8	no	—
884	C₂²×C₄	—	43	8	no	—
885	C₂²×C₄	—	43	8	no	—
886	C₂²×C₄	—	43	8	no	—
887	C₂²×C₄	—	86	4	no	—
888	C₂²×C₄	—	172	4	no	—
889	C₂²×C₄	—	172	4	no	—
890	C₂²×C₄	—	172	4	no	—
891	C₂²×C₄	—	172	4	no	—
892	C₂²×C₄	—	172	4	no	—
893	C₂²×C₄	—	172	2	no	—
894	C₂²×C₄	—	172	2	no	—
895	C₂²×C₄	C₂³×D₄₃	1	4	yes	—
896	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
897	C₂²×C₄	C₂³×D₄₃	1	2	yes	—
898	C₂²×C₄	C₂³×D₄₃	1	2	yes	—
899	C₂²×C₄	C₂³×D₄₃	1	2	yes	—
900	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
901	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
902	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
903	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
904	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
905	C₂²×C₄	C₂³×D₄₃	1	2	yes	—
906	C₂²×C₄	C₂³×D₄₃	1	4	yes	—
907	C₂²×C₄	C₂³×D₄₃	1	4	yes	—
908	C₄⋊C₄	—	43	8	no	—
909	C₄⋊C₄	—	43	8	no	—
910	C₄⋊C₄	—	43	8	no	—
911	C₄⋊C₄	—	43	8	no	—
912	C₄⋊C₄	—	43	8	no	—
913	C₄⋊C₄	—	43	8	no	—
914	C₄⋊C₄	—	43	8	no	—
915	C₄⋊C₄	—	43	8	no	—
916	C₄⋊C₄	—	43	8	no	—
917	C₄⋊C₄	—	43	8	no	—
918	C₄⋊C₄	—	43	8	no	—
919	C₄⋊C₄	—	43	8	no	—
920	C₄⋊C₄	—	43	8	no	—
921	C₄⋊C₄	—	43	8	no	—
922	C₄⋊C₄	—	43	8	no	—
923	C₄⋊C₄	—	43	4	no	—
924	C₄⋊C₄	—	43	8	no	—
925	C₄⋊C₄	—	43	8	no	—
926	C₄⋊C₄	—	43	8	no	—
927	C₄⋊C₄	—	43	8	no	—
928	C₄⋊C₄	—	43	4	no	—
929	C₄⋊C₄	—	43	8	no	—
930	C₄⋊C₄	—	43	8	no	—
931	C₄⋊C₄	—	43	8	no	—
932	C₄⋊C₄	C₂³×D₄₃	1	8	yes	—
933	C₄⋊C₄	C₂³×D₄₃	1	8	yes	—
934	C₄⋊C₄	C₂³×D₄₃	1	8	yes	—
935	C₄⋊C₄	C₂³×D₄₃	1	8	yes	—
936	C₄⋊C₄	C₂³×D₄₃	1	8	yes	—
937	C₄⋊C₄	C₂³×D₄₃	1	8	yes	—
938	C₄⋊C₄	C₂³×D₄₃	1	4	yes	—
939	C₄⋊C₄	C₂³×D₄₃	1	8	yes	—
940	C₄⋊C₄	C₂³×D₄₃	1	4	yes	—
941	C₂²⋊C₄	—	43	8	no	—
942	C₂²⋊C₄	—	43	8	no	—
943	C₂²⋊C₄	—	43	8	no	—
944	C₂²⋊C₄	—	43	8	no	—
945	C₂²⋊C₄	—	43	8	no	—
946	C₂²⋊C₄	—	43	8	no	—
947	C₂²⋊C₄	—	43	8	no	—
948	C₂²⋊C₄	—	43	8	no	—
949	C₂²⋊C₄	—	43	8	no	—
950	C₂²⋊C₄	—	43	8	no	—
951	C₂²⋊C₄	—	43	8	no	—
952	C₂²⋊C₄	—	43	8	no	—
953	C₂²⋊C₄	—	43	8	no	—
954	C₂²⋊C₄	—	43	8	no	—
955	C₂²⋊C₄	—	43	8	no	—
956	C₂²⋊C₄	—	43	8	no	—
957	C₂²⋊C₄	—	43	8	no	—
958	C₂²⋊C₄	—	43	8	no	—
959	C₂²⋊C₄	—	43	8	no	—
960	C₂²⋊C₄	C₂³×D₄₃	1	8	yes	—
961	C₂²⋊C₄	C₂³×D₄₃	1	8	yes	—
962	C₄²	—	43	8	no	—
963	C₄²	—	43	8	no	—
964	C₄²	—	43	8	no	—
965	C₄²	—	43	8	no	—
966	C₄²	—	43	8	no	—
967	C₄²	C₂³×D₄₃	1	4	yes	—
968	C₄²	C₂³×D₄₃	1	4	yes	—
969	C₄²	C₂³×D₄₃	1	4	yes	—
970	C₄²	C₂³×D₄₃	1	4	yes	—
971	C₄²	C₂³×D₄₃	1	8	yes	—
972	C₄²	C₂³×D₄₃	1	8	yes	—
973	C₂³	—	2	2	no	—
974	C₂³	—	2	2	no	—
975	C₂³	—	43	4	no	—
976	C₂³	—	43	4	no	—
977	C₂³	—	86	8	no	—
978	C₂³	—	86	4	no	—
979	C₂³	—	86	4	no	—
980	C₂³	—	86	4	no	—
981	C₂³	—	86	4	no	—
982	C₂³	—	86	4	no	—
983	C₂³	—	86	4	no	—
984	C₂³	—	344	8	no	—
985	C₂³	—	172	4	no	—
986	C₂³	—	172	4	no	—
987	C₂³	#13063373	1	4	yes	—
988	C₂³	C₂⁴×D₄₃	1	2	yes	—
989	C₂³	C₂⁴×D₄₃	1	1	yes	characteristic
990	Q₈	—	4	4	no	—
991	Q₈	—	4	8	no	—
992	Q₈	—	4	4	no	—
993	Q₈	—	172	4	no	—
994	Q₈	—	172	8	no	—
995	Q₈	—	172	8	no	—
996	D₄	—	86	16	no	—
997	D₄	—	172	4	no	—
998	D₄	—	172	8	no	—
999	D₄	—	172	8	no	—
1000	C₂×C₄	—	2	8	no	—
1001	C₂×C₄	—	2	2	no	—
1002	C₂×C₄	—	2	2	no	—
1003	C₂×C₄	—	2	2	no	—
1004	C₂×C₄	—	2	2	no	—
1005	C₂×C₄	—	2	2	no	—
1006	C₂×C₄	—	2	2	no	—
1007	C₂×C₄	—	2	4	no	—
1008	C₂×C₄	—	2	4	no	—
1009	C₂×C₄	—	2	4	no	—
1010	C₂×C₄	—	2	4	no	—
1011	C₂×C₄	—	4	4	no	—
1012	C₂×C₄	—	4	4	no	—
1013	C₂×C₄	—	43	4	no	—
1014	C₂×C₄	—	43	4	no	—
1015	C₂×C₄	—	43	4	no	—
1016	C₂×C₄	—	43	4	no	—
1017	C₂×C₄	—	43	4	no	—
1018	C₂×C₄	—	43	4	no	—
1019	C₂×C₄	—	86	8	no	—
1020	C₂×C₄	—	86	4	no	—
1021	C₂×C₄	—	86	4	no	—
1022	C₂×C₄	—	86	4	no	—
1023	C₂×C₄	—	86	4	no	—
1024	C₂×C₄	—	86	4	no	—
1025	C₂×C₄	—	86	4	no	—
1026	C₂×C₄	—	172	8	no	—
1027	C₂×C₄	—	172	8	no	—
1028	C₂×C₄	—	172	8	no	—
1029	C₂×C₄	—	172	8	no	—
1030	C₂×C₄	—	172	8	no	—
1031	C₂×C₄	—	172	4	no	—
1032	C₂×C₄	—	172	4	no	—
1033	C₂×C₄	C₂⁴×D₄₃	1	2	yes	—
1034	C₂×C₄	C₂⁴×D₄₃	1	4	yes	—
1035	C₂×C₄	C₂⁴×D₄₃	1	4	yes	—
1036	C₂×C₄	C₂⁴×D₄₃	1	4	yes	—
1037	C₂×C₄	C₂⁴×D₄₃	1	2	yes	—
1038	C₂×C₄	C₂⁴×D₄₃	1	2	yes	—
1039	C₂×C₄	C₂⁴×D₄₃	1	2	yes	—
1040	C₂×C₄	C₂⁴×D₄₃	1	2	yes	—
1041	C₂×C₄	C₂⁴×D₄₃	1	2	yes	—
1042	C₂×C₄	C₂⁴×D₄₃	1	4	yes	—
1043	C₂²	—	2	2	no	—
1044	C₂²	—	2	2	no	—
1045	C₂²	—	2	8	no	—
1046	C₂²	—	86	4	no	—
1047	C₂²	—	86	4	no	—
1048	C₂²	—	86	4	no	—
1049	C₂²	—	86	4	no	—
1050	C₂²	—	86	4	no	—
1051	C₂²	—	86	4	no	—
1052	C₂²	—	344	8	no	—
1053	C₂²	—	172	8	no	—
1054	C₂²	—	172	8	no	—
1055	C₂²	C₂×#13063373	1	4	yes	—
1056	C₂²	C₂×#13063373	1	2	yes	—
1057	C₂²	#14583735	1	2	yes	—
1058	C₂²	#14583735	1	2	yes	—
1059	C₂²	C₂⁵×D₄₃	1	1	yes	characteristic
1060	C₄	—	2	2	no	—
1061	C₄	—	2	2	no	—
1062	C₄	—	2	2	no	—
1063	C₄	—	2	2	no	—
1064	C₄	—	2	2	no	—
1065	C₄	—	2	2	no	—
1066	C₄	—	2	4	no	—
1067	C₄	—	2	4	no	—
1068	C₄	—	2	4	no	—
1069	C₄	—	2	4	no	—
1070	C₄	—	86	4	no	—
1071	C₄	—	86	4	no	—
1072	C₄	—	86	4	no	—
1073	C₄	—	86	4	no	—
1074	C₄	—	86	4	no	—
1075	C₄	—	86	4	no	—
1076	C₂	—	2	4	no	—
1077	C₂	—	172	4	no	—
1078	C₂	—	172	4	no	—
1079	C₂	#19149223	1	4	yes	direct product factor
1080	C₂	C₂²×#13063373	1	1	yes	characteristic
1081	C₂	C₂×#14583735	1	1	yes	characteristic
1082	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×#533	C₂
socle	C₂³×C₄₃	C₂⁵
prime radical	C₂×#14583489	C₂
hypercenter	C₂×#533	D₄₃
hypocenter	C₄₃	C₂×#3564
LCS	G ▷ C₂²×C₄₃ ▷ C₄₃
UCS	C₁ ◁ C₂³ ◁ C₂×#533

Complements

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

N	H ≅ G/N	type
1. #19149223	C₂	direct (N × H)
2. C₂×#14583648	C₂	semidirect
3. C₂×#14583648	C₂	semidirect
4. C₂×#14583621	C₂	semidirect
5. C₂×#14583603	C₂	semidirect
6. C₂×#14583590	C₂	semidirect
7. C₂×#14583582	C₂	semidirect
8. C₂×#14583576	C₂	semidirect
9. C₂×#14583573	C₂	semidirect
10. C₂×#14583528	C₂	semidirect
11. C₂×#14583524	C₂	semidirect
12. C₂×#14583521	C₂	semidirect
13. C₂×#14583508	C₂	semidirect
14. C₂×#14583507	C₂	semidirect
15. C₂×#14583498	C₂	semidirect
16. C₂×#14583497	C₂	semidirect
18. C₂×#14583433	C₂	semidirect
19. C₂²×#13063319	C₂	semidirect
20. C₂×C₄₃×#533	C₂	semidirect
21. #14583648	C₂²	semidirect
22. #14583648	C₂²	semidirect
23. #14583621	C₂²	semidirect
24. #14583603	C₂²	semidirect
25. #14583590	C₂²	semidirect
26. #14583582	C₂²	semidirect
27. #14583576	C₂²	semidirect
28. #14583573	C₂²	semidirect
29. #14583528	C₂²	semidirect
30. #14583524	C₂²	semidirect
31. #14583521	C₂²	semidirect
32. #14583508	C₂²	semidirect
33. #14583507	C₂²	semidirect
34. #14583498	C₂²	semidirect
35. #14583497	C₂²	semidirect
37. C₂×#13063324	C₂²	semidirect
38. C₂×#13063323	C₂²	semidirect
39. C₂×#13063323	C₂²	semidirect
40. #14583433	C₂²	semidirect
45. C₂×#13063320	C₂²	semidirect
46. C₂×#13063320	C₂²	semidirect
52. C₂×#13063319	C₂²	semidirect
53. C₂×#13063319	C₂²	semidirect
54. C₂×#13063319	C₂²	semidirect
55. C₂×#13063317	C₂²	semidirect
56. C₂×#13063317	C₂²	semidirect
57. C₂×#13063316	C₂²	semidirect
58. C₂×#13063315	C₂²	semidirect
59. C₂×#13063315	C₂²	semidirect
60. C₂×#13063315	C₂²	semidirect
61. C₂×#13063315	C₂²	semidirect
62. C₂×#13063315	C₂²	semidirect
63. C₂×#13063315	C₂²	semidirect
67. C₂×#13063313	C₂²	semidirect
73. C₂×#13063310	C₂²	semidirect
81. C₂×#13063303	C₂²	semidirect
82. C₂×#13063303	C₂²	semidirect
83. C₂×#13063303	C₂²	semidirect
88. C₂×#13063301	C₂²	semidirect
89. C₂×#13063301	C₂²	semidirect
93. C₂×C₄×Dic₈₆	C₂²	semidirect
94. C₂×C₄×Dic₈₆	C₂²	semidirect
95. C₂×#13063290	C₂²	semidirect
97. C₂×C₄×D₁₇₂	C₂²	semidirect
104. C₂×#13063282	C₂²	semidirect
105. C₂×#13063282	C₂²	semidirect
110. C₂×C₄⋊C₄×D₄₃	C₂²	semidirect
115. C₄₃×#533	C₂²	semidirect
116. C₂×C₄⋊Q₈×C₄₃	C₂²	semidirect
117. C₂×C₄⋊Q₈×C₄₃	C₂²	semidirect
118. C₂×#125×C₄₃	C₂²	semidirect
122. C₂×C₄×Q₈×C₄₃	C₂²	semidirect
123. C₂×C₄×Q₈×C₄₃	C₂²	semidirect
124. C₂×C₄×Q₈×C₄₃	C₂²	semidirect
143. #13063324	C₂³	semidirect
144. #13063323	C₂³	semidirect
145. #13063323	C₂³	semidirect
150. #13063320	C₂³	semidirect
151. #13063320	C₂³	semidirect
157. #13063319	C₂³	semidirect
158. #13063319	C₂³	semidirect
159. #13063317	C₂³	semidirect
160. #13063317	C₂³	semidirect
161. #13063316	C₂³	semidirect
162. #13063315	C₂³	semidirect
163. #13063315	C₂³	semidirect
164. #13063315	C₂³	semidirect
165. #13063315	C₂³	semidirect
166. #13063315	C₂³	semidirect
167. #13063315	C₂³	semidirect
171. #13063313	C₂³	semidirect
177. #13063310	C₂³	semidirect
185. #13063303	C₂³	semidirect
186. #13063303	C₂³	semidirect
187. #13063303	C₂³	semidirect
192. #13063301	C₂³	semidirect
193. #13063301	C₂³	semidirect
197. C₄×Dic₈₆	C₂³	semidirect
198. C₄×Dic₈₆	C₂³	semidirect
199. #13063290	C₂³	semidirect
201. C₄×D₁₇₂	C₂³	semidirect
208. #13063282	C₂³	semidirect
209. #13063282	C₂³	semidirect
238. C₄⋊C₄×D₄₃	C₂³	semidirect
273. C₄⋊Q₈×C₄₃	C₂³	semidirect
274. C₄⋊Q₈×C₄₃	C₂³	semidirect
275. #125×C₄₃	C₂³	semidirect
279. C₄×Q₈×C₄₃	C₂³	semidirect
280. C₄×Q₈×C₄₃	C₂³	semidirect
281. C₄×Q₈×C₄₃	C₂³	semidirect
552. C₂×#533	D₄₃	semidirect
556. C₂×C₄₃	#3564	semidirect
578. #533	C₂×D₄₃	semidirect
582. C₂×C₄⋊Q₈	C₂×D₄₃	semidirect
583. C₂×C₄⋊Q₈	C₂×D₄₃	semidirect
608. C₂×#125	C₂×D₄₃	semidirect
644. C₂×C₄×Q₈	C₂×D₄₃	semidirect
645. C₂×C₄×Q₈	C₂×D₄₃	semidirect
646. C₂×C₄×Q₈	C₂×D₄₃	semidirect
668. C₄₃	C₂×#3564	semidirect
694. C₄⋊Q₈	C₂²×D₄₃	semidirect
695. C₄⋊Q₈	C₂²×D₄₃	semidirect
718. #125	C₂²×D₄₃	semidirect
754. C₄×Q₈	C₂²×D₄₃	semidirect
755. C₄×Q₈	C₂²×D₄₃	semidirect
756. C₄×Q₈	C₂²×D₄₃	semidirect
1079. C₂	#19149223	direct (N × H)

Maximal subgroups

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

subgroup	index
#19149223	2
C₂×#14583648	2
C₂×#14583621	2
C₂×#14583603	2
C₂×#14583590	2
C₂×#14583582	2
C₂×#14583576	2
C₂×#14583573	2
C₂×#14583528	2
C₂×#14583524	2
C₂×#14583521	2
C₂×#14583508	2
C₂×#14583507	2
C₂×#14583498	2
C₂×#14583497	2
C₂×#14583489	2
C₂×#14583433	2
C₂²×#13063319	2
C₂×C₄₃×#533	2
C₂×#3564	43

Subgroups — C2×#19149223 #26004001

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₂×#19149223 #26004001