Subgroups — C₂×#19148919 #26004186

Order 11008.

8814 conjugacy classes of subgroups.

The subgroup lattice has 988 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#19148919	C₂	1	32	yes	maximal, direct product factor
2	C₂×#14583637	C₂	1	4	yes	maximal, complemented
3	C₂×#14583634	C₂	1	1	yes	maximal, characteristic, complemented
4	C₂×#14583569	C₂	1	1	yes	maximal, characteristic, complemented
5	C₂×#14583544	C₂	1	2	yes	maximal, complemented
6	C₂×#14583537	C₂	1	2	yes	maximal, complemented
7	C₂×D₄×D₁₇₂	C₂	1	1	yes	maximal, characteristic, complemented
8	C₂×#14583534	C₂	1	2	yes	maximal, complemented
9	C₂×#14583533	C₂	1	2	yes	maximal, complemented
10	C₂×#14583502	C₂	1	2	yes	maximal, complemented
11	C₂×#14583500	C₂	1	2	yes	maximal, complemented
12	C₂×#14583463	C₂	1	2	yes	maximal, complemented
13	C₂×#14583462	C₂	1	2	yes	maximal, complemented
14	C₂×#14583457	C₂	1	4	yes	maximal, complemented
15	C₂×#127×D₄₃	C₂	1	1	yes	maximal, characteristic, complemented
16	C₂×#14583436	C₂	1	1	yes	maximal, characteristic, complemented
17	C₂×#14583431	C₂	1	1	yes	maximal, characteristic, complemented
18	C₂×C₄₃×#550	C₂	1	1	yes	maximal, characteristic, complemented
19	C₂²×#10621900	C₂²	1	2	yes	complemented
20	C₂³×D₁₇₂	C₂²	1	2	yes	complemented
21	C₂²×D₄×D₄₃	C₂²	1	4	yes	complemented
22	C₂²×D₄×D₄₃	C₂²	1	2	yes	complemented
23	C₂²×D₄×D₄₃	C₂²	1	2	yes	complemented
24	C₂²×D₄×D₄₃	C₂²	1	2	yes	complemented
25	C₂²×D₄×D₄₃	C₂²	1	2	yes	complemented
26	#14583637	C₂²	1	64	yes	complemented
27	#14583634	C₂²	1	16	yes	complemented
28	#14583569	C₂²	1	16	yes	complemented
29	#14583544	C₂²	1	32	yes	complemented
30	#14583537	C₂²	1	32	yes	complemented
31	D₄×D₁₇₂	C₂²	1	16	yes	complemented
32	#14583534	C₂²	1	32	yes	complemented
33	#14583533	C₂²	1	32	yes	complemented
34	#14583502	C₂²	1	32	yes	complemented
35	#14583500	C₂²	1	32	yes	complemented
36	#14583463	C₂²	1	32	yes	complemented
37	#14583462	C₂²	1	32	yes	complemented
38	#14583457	C₂²	1	64	yes	complemented
39	C₂×#13063322	C₂²	1	1	yes	characteristic
40	C₂×#13063321	C₂²	1	2	yes	complemented
41	C₂×#13063321	C₂²	1	2	yes	complemented
42	C₂×#13063321	C₂²	1	2	yes	complemented
43	C₂×#13063321	C₂²	1	2	yes	complemented
44	#127×D₄₃	C₂²	1	16	yes	complemented
45	#14583436	C₂²	1	16	yes	complemented
46	#14583431	C₂²	1	16	yes	complemented
47	C₂×#13063320	C₂²	1	2	yes	complemented
48	C₂×#13063318	C₂²	1	2	yes	complemented
49	C₂×#13063316	C₂²	1	1	yes	characteristic, complemented
50	C₂×#13063316	C₂²	1	1	yes	characteristic, complemented
51	C₂×#13063314	C₂²	1	2	yes	complemented
52	C₂×#13063314	C₂²	1	1	yes	characteristic, complemented
53	C₂×#13063313	C₂²	1	2	yes	complemented
54	C₂×#13063312	C₂²	1	1	yes	characteristic, complemented
55	C₂×#13063310	C₂²	1	2	yes	complemented
56	C₂×#13063310	C₂²	1	4	yes	complemented
57	C₂×#13063309	C₂²	1	4	yes	complemented
58	C₂×#13063308	C₂²	1	4	yes	complemented
59	C₂×#13063307	C₂²	1	2	yes	complemented
60	C₂×#13063307	C₂²	1	4	yes	complemented
61	C₂×#13063305	C₂²	1	1	yes	characteristic, complemented
62	C₂×#13063301	C₂²	1	1	yes	characteristic, complemented
63	C₂×#13063300	C₂²	1	1	yes	characteristic
64	C₂×#13063300	C₂²	1	2	yes	complemented
65	C₂×#13063299	C₂²	1	2	yes	complemented
66	C₂×#13063299	C₂²	1	4	yes	complemented
67	C₂×#13063299	C₂²	1	4	yes	complemented
68	C₂×#13063298	C₂²	1	4	yes	complemented
69	C₂×#13063297	C₂²	1	4	yes	complemented
70	C₂×#13063297	C₂²	1	4	yes	complemented
71	C₂×#13063297	C₂²	1	4	yes	complemented
72	C₂×#13063296	C₂²	1	1	yes	characteristic
73	C₂×#13063296	C₂²	1	2	yes	complemented
74	C₂×#13063296	C₂²	1	4	yes	complemented
75	C₂×#13063295	C₂²	1	4	yes	complemented
76	C₂×#13063295	C₂²	1	4	yes	complemented
77	C₂×#13063293	C₂²	1	4	yes	complemented
78	C₂×#13063293	C₂²	1	4	yes	complemented
79	C₂×#13063293	C₂²	1	4	yes	complemented
80	C₂×#13063293	C₂²	1	4	yes	complemented
81	C₂×C₄×Dic₈₆	C₂²	1	1	yes	characteristic, complemented
82	C₂×C₄×D₁₇₂	C₂²	1	2	yes	complemented
83	C₂×C₄×D₁₇₂	C₂²	1	2	yes	complemented
84	C₂×C₄×D₁₇₂	C₂²	1	1	yes	characteristic, complemented
85	C₂×D₄×Dic₄₃	C₂²	1	2	yes	complemented
86	C₂×#13063287	C₂²	1	2	yes	complemented
87	C₂×C₄×C₂²⋊D₄₃	C₂²	1	2	yes	complemented
88	C₂×#13063284	C₂²	1	2	yes	complemented
89	C₂×#13063282	C₂²	1	2	yes	complemented
90	C₂²×(C₂×D₄₃)⋊C₄	C₂²	1	4	yes	complemented
91	C₂×C₄²×D₄₃	C₂²	1	1	yes	characteristic, complemented
92	C₂²×#41×C₄₃	C₂²	1	2	yes	complemented
93	C₄₃×#550	C₂²	1	16	yes	complemented
94	C₂×#127×C₄₃	C₂²	1	2	yes	complemented
95	C₂×#127×C₄₃	C₂²	1	1	yes	characteristic, complemented
96	C₂×#121×C₄₃	C₂²	1	2	yes	complemented
97	C₂×#121×C₄₃	C₂²	1	4	yes	complemented
98	C₂×C₄×Q₈×C₄₃	C₂²	1	1	yes	characteristic, complemented
99	C₂×C₄×D₄×C₄₃	C₂²	1	1	yes	characteristic, complemented
100	C₂×C₄×D₄×C₄₃	C₂²	1	2	yes	complemented
101	C₂⁴×D₄₃	C₂³	1	4	yes	—
102	C₂⁴×D₄₃	C₂³	1	4	yes	—
103	C₂×#10621900	—	4	8	no	—
104	C₂×#10621900	C₂³	1	16	yes	complemented
105	C₂²×Dic₈₆	C₂³	1	1	yes	characteristic
106	C₂²×D₁₇₂	—	4	8	no	—
107	C₂²×D₁₇₂	C₂³	1	2	yes	—
108	C₂²×D₁₇₂	C₂³	1	2	yes	—
109	C₂²×D₁₇₂	C₂³	1	1	yes	characteristic
110	C₂²×D₁₇₂	C₂³	1	2	yes	—
111	C₂²×D₁₇₂	C₂³	1	4	yes	—
112	C₂²×D₁₇₂	C₂³	1	2	yes	—
113	C₂²×D₁₇₂	C₂³	1	16	yes	complemented
114	C₂²×C₂²⋊D₄₃	C₂³	1	2	yes	—
115	C₂²×C₂²⋊D₄₃	C₂³	1	4	yes	—
116	C₂²×C₂²⋊D₄₃	C₂³	1	4	yes	—
117	C₂²×C₂²⋊D₄₃	C₂³	1	4	yes	—
118	C₂²×C₂²⋊D₄₃	C₂³	1	4	yes	—
119	C₂²×C₂²⋊D₄₃	C₂³	1	4	yes	—
120	C₂²×C₂²⋊D₄₃	C₂³	1	4	yes	—
121	C₂×D₄×D₄₃	—	4	8	no	—
122	C₂×D₄×D₄₃	—	4	8	no	—
123	C₂×D₄×D₄₃	—	4	8	no	—
124	C₂×D₄×D₄₃	—	4	8	no	—
125	C₂×D₄×D₄₃	—	4	16	no	—
126	C₂×D₄×D₄₃	C₂³	1	16	yes	complemented
127	C₂×D₄×D₄₃	C₂³	1	16	yes	complemented
128	C₂×D₄×D₄₃	C₂³	1	16	yes	complemented
129	C₂×D₄×D₄₃	C₂³	1	32	yes	complemented
130	C₂×D₄×D₄₃	C₂³	1	16	yes	complemented
131	C₂³×Dic₄₃	C₂³	1	4	yes	—
132	C₂²×C₄×D₄₃	C₂³	1	1	yes	characteristic
133	C₂²×C₄×D₄₃	C₂³	1	1	yes	characteristic
134	C₂²×C₄×D₄₃	C₂³	1	1	yes	characteristic
135	C₂²×C₄×D₄₃	C₂³	1	2	yes	—
136	C₂²×C₄×D₄₃	C₂³	1	4	yes	—
137	#13063322	C₂³	1	8	yes	—
138	#13063321	C₂³	1	16	yes	complemented
139	#13063321	C₂³	1	16	yes	complemented
140	#13063321	C₂³	1	16	yes	complemented
141	#13063321	C₂³	1	16	yes	complemented
142	#13063320	C₂³	1	16	yes	complemented
143	#13063318	C₂³	1	16	yes	complemented
144	#13063316	C₂³	1	8	yes	complemented
145	#13063316	C₂³	1	8	yes	complemented
146	#13063314	C₂³	1	16	yes	complemented
147	#13063314	C₂³	1	8	yes	complemented
148	#13063313	C₂³	1	16	yes	complemented
149	#13063312	C₂³	1	8	yes	complemented
150	#13063310	C₂³	1	32	yes	complemented
151	#13063310	C₂³	1	16	yes	complemented
152	#13063309	C₂³	1	32	yes	complemented
153	#13063308	C₂³	1	32	yes	complemented
154	#13063307	C₂³	1	16	yes	complemented
155	#13063307	C₂³	1	32	yes	complemented
156	#13063305	C₂³	1	8	yes	complemented
157	#13063301	C₂³	1	8	yes	complemented
158	#13063300	C₂³	1	8	yes	—
159	#13063300	C₂³	1	16	yes	complemented
160	#13063299	C₂³	1	32	yes	complemented
161	#13063299	C₂³	1	32	yes	complemented
162	#13063299	C₂³	1	16	yes	complemented
163	#13063298	C₂³	1	32	yes	complemented
164	#13063297	C₂³	1	32	yes	complemented
165	#13063297	C₂³	1	32	yes	complemented
166	#13063297	C₂³	1	32	yes	complemented
167	#13063296	C₂³	1	8	yes	—
168	#13063296	C₂³	1	16	yes	complemented
169	#13063296	C₂³	1	32	yes	complemented
170	#13063295	C₂³	1	32	yes	complemented
171	#13063295	C₂³	1	32	yes	complemented
172	#13063293	C₂³	1	32	yes	complemented
173	#13063293	C₂³	1	32	yes	complemented
174	#13063293	C₂³	1	32	yes	complemented
175	#13063293	C₂³	1	32	yes	complemented
176	C₄×Dic₈₆	C₂³	1	8	yes	complemented
177	C₄×D₁₇₂	C₂³	1	8	yes	complemented
178	C₄×D₁₇₂	C₂³	1	16	yes	complemented
179	C₄×D₁₇₂	C₂³	1	16	yes	complemented
180	D₄×Dic₄₃	C₂³	1	16	yes	complemented
181	#13063287	C₂³	1	16	yes	complemented
182	C₄×C₂²⋊D₄₃	C₂³	1	16	yes	complemented
183	#13063284	C₂³	1	16	yes	complemented
184	#13063282	C₂³	1	16	yes	complemented
185	C₂×C₄⋊Dic₄₃	C₂³	1	2	yes	—
186	C₂×C₄⋊Dic₄₃	C₂³	1	2	yes	—
187	C₂×C₄⋊Dic₄₃	C₂³	1	1	yes	characteristic
188	C₂×C₄⋊Dic₄₃	C₂³	1	1	yes	characteristic
189	C₂×C₄⋊Dic₄₃	C₂³	1	2	yes	—
190	C₂×Dic₄₃⋊C₄	C₂³	1	2	yes	—
191	C₂×Dic₄₃⋊C₄	C₂³	1	2	yes	—
192	C₂×Dic₄₃⋊C₄	C₂³	1	2	yes	—
193	C₂×Dic₄₃⋊C₄	C₂³	1	2	yes	—
194	C₂×C₂²⋊Dic₄₃	C₂³	1	2	yes	—
195	C₂×C₂²⋊Dic₄₃	C₂³	1	2	yes	—
196	C₂×C₂²⋊Dic₄₃	C₂³	1	2	yes	—
197	C₂×C₂²⋊Dic₄₃	C₂³	1	4	yes	—
198	C₂×(C₂×D₄₃)⋊C₄	C₂³	1	2	yes	—
199	C₂×(C₂×D₄₃)⋊C₄	C₂³	1	2	yes	—
200	C₂×(C₂×D₄₃)⋊C₄	C₂³	1	4	yes	—
201	C₂×(C₂×D₄₃)⋊C₄	C₂³	1	4	yes	—
202	C₂×(C₂×D₄₃)⋊C₄	C₂³	1	2	yes	—
203	C₂×(C₂×D₄₃)⋊C₄	C₂³	1	2	yes	—
204	C₂×(C₂×D₄₃)⋊C₄	C₂³	1	4	yes	—
205	C₂×(C₂×D₄₃)⋊C₄	C₂³	1	2	yes	—
206	C₂×(C₂×D₄₃)⋊C₄	C₂³	1	4	yes	—
207	C₂×(C₂×D₄₃)⋊C₄	C₂³	1	2	yes	—
208	C₂×(C₂×D₄₃)⋊C₄	C₂³	1	32	yes	complemented
209	C₂×C₄×Dic₄₃	C₂³	1	1	yes	characteristic
210	C₂×C₄×Dic₄₃	C₂³	1	1	yes	characteristic
211	C₂×C₄×Dic₄₃	C₂³	1	1	yes	characteristic
212	C₂×C₄×Dic₄₃	C₂³	1	2	yes	—
213	C₄²×D₄₃	C₂³	1	8	yes	complemented
214	C₂×#41×C₄₃	—	4	8	no	—
215	C₂×#41×C₄₃	C₂³	1	16	yes	complemented
216	C₂²×Q₈×C₄₃	C₂³	1	1	yes	characteristic
217	C₂²×D₄×C₄₃	C₂³	1	1	yes	characteristic
218	C₂²×D₄×C₄₃	C₂³	1	2	yes	—
219	C₂²×D₄×C₄₃	C₂³	1	2	yes	—
220	C₂²×D₄×C₄₃	C₂³	1	4	yes	—
221	C₂²×D₄×C₄₃	C₂³	1	2	yes	—
222	C₂²×D₄×C₄₃	C₂³	1	4	yes	—
223	C₂³×C₄×C₄₃	C₂³	1	2	yes	—
224	C₂³×C₄×C₄₃	C₂³	1	4	yes	—
225	#127×C₄₃	C₂³	1	8	yes	complemented
226	#127×C₄₃	C₂³	1	16	yes	complemented
227	#121×C₄₃	C₂³	1	32	yes	complemented
228	#121×C₄₃	C₂³	1	16	yes	complemented
229	C₄×Q₈×C₄₃	C₂³	1	8	yes	complemented
230	C₄×D₄×C₄₃	C₂³	1	8	yes	complemented
231	C₄×D₄×C₄₃	C₂³	1	16	yes	complemented
232	C₂×C₄⋊C₄×C₄₃	C₂³	1	1	yes	characteristic
233	C₂×C₄⋊C₄×C₄₃	C₂³	1	1	yes	characteristic
234	C₂×C₄⋊C₄×C₄₃	C₂³	1	2	yes	—
235	C₂×C₂²⋊C₄×C₄₃	C₂³	1	2	yes	—
236	C₂×C₂²⋊C₄×C₄₃	C₂³	1	4	yes	—
237	C₂×C₄²×C₄₃	C₂³	1	1	yes	characteristic
238	C₂×C₄²×C₄₃	C₂³	1	2	yes	—
239	C₂⁴×C₄₃	C₂⁴	1	2	yes	—
240	C₂⁴×C₄₃	C₂⁴	1	4	yes	—
241	C₂³×D₄₃	—	2	16	no	—
242	C₂³×D₄₃	—	4	8	no	—
243	C₂³×D₄₃	—	4	8	no	—
244	C₂³×D₄₃	—	4	8	no	—
245	C₂³×D₄₃	—	4	8	no	—
246	C₂³×D₄₃	—	4	8	no	—
247	C₂³×D₄₃	C₂⁴	1	2	yes	—
248	C₂³×D₄₃	C₂⁴	1	4	yes	—
249	C₂³×D₄₃	C₂⁴	1	1	yes	characteristic
250	C₂³×D₄₃	C₂⁴	1	16	yes	—
251	C₂³×D₄₃	C₂⁴	1	16	yes	—
252	#41×C₄₃	—	4	32	no	—
253	C₂×Q₈×C₄₃	—	2	4	no	—
254	C₂×Q₈×C₄₃	C₂⁴	1	4	yes	—
255	C₂×D₄×C₄₃	—	2	8	no	—
256	C₂×D₄×C₄₃	—	2	4	no	—
257	C₂×D₄×C₄₃	—	2	8	no	—
258	C₂×D₄×C₄₃	—	4	8	no	—
259	C₂×D₄×C₄₃	—	4	8	no	—
260	C₂×D₄×C₄₃	—	4	4	no	—
261	C₂×D₄×C₄₃	C₂⁴	1	4	yes	—
262	C₂×D₄×C₄₃	C₂⁴	1	8	yes	—
263	C₂×D₄×C₄₃	C₂⁴	1	8	yes	—
264	C₂×D₄×C₄₃	C₂⁴	1	16	yes	—
265	C₂×D₄×C₄₃	C₂⁴	1	8	yes	—
266	C₂×D₄×C₄₃	C₂⁴	1	16	yes	—
267	C₂²×C₄×C₄₃	—	2	8	no	—
268	C₂²×C₄×C₄₃	—	4	8	no	—
269	C₂²×C₄×C₄₃	C₂⁴	1	1	yes	characteristic
270	C₂²×C₄×C₄₃	C₂⁴	1	2	yes	—
271	C₂²×C₄×C₄₃	C₂⁴	1	2	yes	—
272	C₂²×C₄×C₄₃	C₂⁴	1	2	yes	—
273	C₂²×C₄×C₄₃	C₂⁴	1	8	yes	—
274	C₂²×C₄×C₄₃	C₂⁴	1	16	yes	—
275	C₂²×C₄×C₄₃	C₂⁴	1	1	yes	characteristic
276	C₂²×C₄×C₄₃	C₂⁴	1	1	yes	characteristic
277	C₂×C₂²⋊D₄₃	—	2	8	no	—
278	C₂×C₂²⋊D₄₃	—	4	8	no	—
279	C₂×C₂²⋊D₄₃	—	4	8	no	—
280	C₂×C₂²⋊D₄₃	—	4	8	no	—
281	C₂×C₂²⋊D₄₃	—	4	8	no	—
282	C₂×C₂²⋊D₄₃	—	4	8	no	—
283	C₂×C₂²⋊D₄₃	—	4	8	no	—
284	C₂×C₂²⋊D₄₃	C₂⁴	1	8	yes	—
285	C₂×C₂²⋊D₄₃	C₂⁴	1	16	yes	—
286	C₂×C₂²⋊D₄₃	C₂⁴	1	16	yes	—
287	C₂×C₂²⋊D₄₃	C₂⁴	1	16	yes	—
288	C₂×C₂²⋊D₄₃	C₂⁴	1	16	yes	—
289	C₂×C₂²⋊D₄₃	C₂⁴	1	16	yes	—
290	C₂×C₂²⋊D₄₃	C₂⁴	1	16	yes	—
291	C₂²×Dic₄₃	—	4	8	no	—
292	C₂²×Dic₄₃	C₂⁴	1	1	yes	characteristic
293	C₂²×Dic₄₃	C₂⁴	1	1	yes	characteristic
294	C₂²×Dic₄₃	C₂⁴	1	1	yes	characteristic
295	C₂²×Dic₄₃	C₂⁴	1	2	yes	—
296	C₂²×Dic₄₃	C₂⁴	1	2	yes	—
297	C₂²×Dic₄₃	C₂⁴	1	2	yes	—
298	C₂²×Dic₄₃	C₂⁴	1	16	yes	—
299	#10621900	—	4	32	no	—
300	D₄×D₄₃	—	4	32	no	—
301	D₄×D₄₃	—	4	64	no	—
302	D₄×D₄₃	—	4	32	no	—
303	D₄×D₄₃	—	4	32	no	—
304	D₄×D₄₃	—	4	32	no	—
305	C₂×D₁₇₂	—	2	8	no	—
306	C₂×D₁₇₂	—	2	8	no	—
307	C₂×D₁₇₂	—	2	4	no	—
308	C₂×D₁₇₂	—	2	8	no	—
309	C₂×D₁₇₂	—	4	4	no	—
310	C₂×D₁₇₂	—	4	8	no	—
311	C₂×D₁₇₂	—	4	32	no	—
312	C₂×D₁₇₂	C₂⁴	1	8	yes	—
313	C₂×D₁₇₂	C₂⁴	1	8	yes	—
314	C₂×D₁₇₂	C₂⁴	1	4	yes	—
315	C₂×D₁₇₂	C₂⁴	1	8	yes	—
316	C₂×D₁₇₂	C₂⁴	1	16	yes	—
317	C₂×D₁₇₂	C₂⁴	1	8	yes	—
318	C₂×C₄×D₄₃	—	2	4	no	—
319	C₂×C₄×D₄₃	—	2	4	no	—
320	C₂×C₄×D₄₃	—	2	8	no	—
321	C₂×C₄×D₄₃	—	2	4	no	—
322	C₂×C₄×D₄₃	—	4	8	no	—
323	C₂×C₄×D₄₃	C₂⁴	1	4	yes	—
324	C₂×C₄×D₄₃	C₂⁴	1	4	yes	—
325	C₂×C₄×D₄₃	C₂⁴	1	4	yes	—
326	C₂×C₄×D₄₃	C₂⁴	1	8	yes	—
327	C₂×C₄×D₄₃	C₂⁴	1	16	yes	—
328	C₂×Dic₈₆	—	2	4	no	—
329	C₂×Dic₈₆	C₂⁴	1	4	yes	—
330	C₄⋊C₄×C₄₃	C₂⁴	1	4	yes	—
331	C₄⋊C₄×C₄₃	C₂⁴	1	4	yes	—
332	C₄⋊C₄×C₄₃	C₂⁴	1	8	yes	—
333	C₂²⋊C₄×C₄₃	C₂⁴	1	8	yes	—
334	C₂²⋊C₄×C₄₃	C₂⁴	1	16	yes	—
335	C₄²×C₄₃	C₂⁴	1	4	yes	—
336	C₄²×C₄₃	C₂⁴	1	8	yes	—
337	C₂²⋊Dic₄₃	C₂⁴	1	8	yes	—
338	C₂²⋊Dic₄₃	C₂⁴	1	8	yes	—
339	C₂²⋊Dic₄₃	C₂⁴	1	8	yes	—
340	C₂²⋊Dic₄₃	C₂⁴	1	16	yes	—
341	(C₂×D₄₃)⋊C₄	C₂⁴	1	8	yes	—
342	(C₂×D₄₃)⋊C₄	C₂⁴	1	8	yes	—
343	(C₂×D₄₃)⋊C₄	C₂⁴	1	16	yes	—
344	(C₂×D₄₃)⋊C₄	C₂⁴	1	16	yes	—
345	(C₂×D₄₃)⋊C₄	C₂⁴	1	8	yes	—
346	(C₂×D₄₃)⋊C₄	C₂⁴	1	8	yes	—
347	(C₂×D₄₃)⋊C₄	C₂⁴	1	16	yes	—
348	(C₂×D₄₃)⋊C₄	C₂⁴	1	8	yes	—
349	(C₂×D₄₃)⋊C₄	C₂⁴	1	16	yes	—
350	(C₂×D₄₃)⋊C₄	C₂⁴	1	8	yes	—
351	C₄⋊Dic₄₃	C₂⁴	1	8	yes	—
352	C₄⋊Dic₄₃	C₂⁴	1	8	yes	—
353	C₄⋊Dic₄₃	C₂⁴	1	4	yes	—
354	C₄⋊Dic₄₃	C₂⁴	1	4	yes	—
355	C₄⋊Dic₄₃	C₂⁴	1	8	yes	—
356	Dic₄₃⋊C₄	C₂⁴	1	8	yes	—
357	Dic₄₃⋊C₄	C₂⁴	1	8	yes	—
358	Dic₄₃⋊C₄	C₂⁴	1	8	yes	—
359	Dic₄₃⋊C₄	C₂⁴	1	8	yes	—
360	C₄×Dic₄₃	C₂⁴	1	4	yes	—
361	C₄×Dic₄₃	C₂⁴	1	4	yes	—
362	C₄×Dic₄₃	C₂⁴	1	4	yes	—
363	C₄×Dic₄₃	C₂⁴	1	8	yes	—
364	C₂³×C₄₃	—	2	8	no	—
365	C₂³×C₄₃	—	2	4	no	—
366	C₂³×C₄₃	—	2	4	no	—
367	C₂³×C₄₃	—	2	8	no	—
368	C₂³×C₄₃	—	2	8	no	—
369	C₂³×C₄₃	—	2	4	no	—
370	C₂³×C₄₃	C₂⁵	1	4	yes	—
371	C₂³×C₄₃	C₂⁵	1	8	yes	—
372	C₂³×C₄₃	C₂⁵	1	1	yes	characteristic
373	C₂²×D₄₃	—	2	2	no	—
374	C₂²×D₄₃	—	2	2	no	—
375	C₂²×D₄₃	—	2	4	no	—
376	C₂²×D₄₃	—	2	8	no	—
377	C₂²×D₄₃	—	2	4	no	—
378	C₂²×D₄₃	—	2	8	no	—
379	C₂²×D₄₃	—	2	4	no	—
380	C₂²×D₄₃	—	2	8	no	—
381	C₂²×D₄₃	—	2	32	no	—
382	C₂²×D₄₃	—	4	16	no	—
383	C₂²×D₄₃	—	4	16	no	—
384	C₂²×D₄₃	—	4	16	no	—
385	C₂²×D₄₃	—	4	16	no	—
386	C₂²×D₄₃	—	4	16	no	—
387	C₂²×D₄₃	—	8	32	no	—
388	C₂²×D₄₃	—	8	32	no	—
389	C₂²×D₄₃	H(5,𝔽₂)	1	4	yes	—
390	C₂²×D₄₃	C₂⁵	1	8	yes	—
391	C₂²×D₄₃	C₂⁵	1	4	yes	—
392	C₂²×D₄₃	C₂⁵	1	2	yes	—
393	Q₈×C₄₃	—	2	8	no	—
394	D₄×C₄₃	—	2	8	no	—
395	D₄×C₄₃	—	2	16	no	—
396	D₄×C₄₃	—	2	16	no	—
397	D₄×C₄₃	—	4	8	no	—
398	D₄×C₄₃	—	4	16	no	—
399	D₄×C₄₃	—	4	16	no	—
400	C₂×C₄×C₄₃	—	2	2	no	—
401	C₂×C₄×C₄₃	—	2	4	no	—
402	C₂×C₄×C₄₃	—	2	4	no	—
403	C₂×C₄×C₄₃	—	2	4	no	—
404	C₂×C₄×C₄₃	—	2	16	no	—
405	C₂×C₄×C₄₃	—	4	16	no	—
406	C₂×C₄×C₄₃	H(5,𝔽₂)	1	4	yes	—
407	C₂×C₄×C₄₃	H(5,𝔽₂)	1	4	yes	—
408	C₂×C₄×C₄₃	C₂⁵	1	2	yes	—
409	C₂×C₄×C₄₃	C₂⁵	1	4	yes	—
410	C₂×C₄×C₄₃	C₂⁵	1	4	yes	—
411	C₂×C₄×C₄₃	C₂⁵	1	4	yes	—
412	C₂×C₄×C₄₃	C₂⁵	1	2	yes	—
413	C₂×C₄×C₄₃	C₂⁵	1	2	yes	—
414	C₂²⋊D₄₃	—	2	16	no	—
415	C₂²⋊D₄₃	—	4	16	no	—
416	C₂²⋊D₄₃	—	4	16	no	—
417	C₂²⋊D₄₃	—	4	16	no	—
418	C₂²⋊D₄₃	—	4	16	no	—
419	C₂²⋊D₄₃	—	4	16	no	—
420	C₂²⋊D₄₃	—	4	16	no	—
421	C₂×Dic₄₃	—	2	4	no	—
422	C₂×Dic₄₃	—	2	4	no	—
423	C₂×Dic₄₃	—	2	2	no	—
424	C₂×Dic₄₃	—	2	2	no	—
425	C₂×Dic₄₃	—	2	2	no	—
426	C₂×Dic₄₃	—	2	4	no	—
427	C₂×Dic₄₃	—	4	16	no	—
428	C₂×Dic₄₃	C₂⁵	1	2	yes	—
429	C₂×Dic₄₃	C₂⁵	1	2	yes	—
430	C₂×Dic₄₃	C₂⁵	1	2	yes	—
431	C₂×Dic₄₃	C₂⁵	1	4	yes	—
432	C₂×Dic₄₃	C₂⁵	1	4	yes	—
433	C₂×Dic₄₃	C₂⁵	1	4	yes	—
434	D₁₇₂	—	2	16	no	—
435	D₁₇₂	—	2	8	no	—
436	D₁₇₂	—	2	16	no	—
437	D₁₇₂	—	2	16	no	—
438	D₁₇₂	—	4	16	no	—
439	D₁₇₂	—	4	8	no	—
440	C₄×D₄₃	—	2	8	no	—
441	C₄×D₄₃	—	2	8	no	—
442	C₄×D₄₃	—	2	8	no	—
443	C₄×D₄₃	—	2	16	no	—
444	C₄×D₄₃	—	4	16	no	—
445	Dic₈₆	—	2	8	no	—
446	C₂×#3543	—	43	1	no	maximal, Sylow
447	C₂²×C₄₃	—	2	8	no	—
448	C₂²×C₄₃	—	2	4	no	—
449	C₂²×C₄₃	—	2	4	no	—
450	C₂²×C₄₃	—	2	4	no	—
451	C₂²×C₄₃	—	2	8	no	—
452	C₂²×C₄₃	—	2	8	no	—
453	C₂²×C₄₃	—	4	8	no	—
454	C₂²×C₄₃	—	4	16	no	—
455	C₂²×C₄₃	C₂×H(5,𝔽₂)	1	2	yes	—
456	C₂²×C₄₃	C₂×H(5,𝔽₂)	1	2	yes	—
457	C₂²×C₄₃	C₂×H(5,𝔽₂)	1	2	yes	—
458	C₂²×C₄₃	C₂⁶	1	1	yes	characteristic
459	C₂×D₄₃	—	2	2	no	—
460	C₂×D₄₃	—	2	2	no	—
461	C₂×D₄₃	—	2	8	no	—
462	C₂×D₄₃	—	2	8	no	—
463	C₂×D₄₃	—	2	4	no	—
464	C₂×D₄₃	—	2	4	no	—
465	C₂×D₄₃	—	2	8	no	—
466	C₂×D₄₃	—	2	4	no	—
467	C₂×D₄₃	—	2	8	no	—
468	C₂×D₄₃	—	4	8	no	—
469	C₂×D₄₃	—	4	16	no	—
470	C₂×D₄₃	—	8	32	no	—
471	C₂×D₄₃	—	8	32	no	—
472	C₂×D₄₃	C₂×H(5,𝔽₂)	1	4	yes	—
473	C₄×C₄₃	—	2	2	no	—
474	C₄×C₄₃	—	2	4	no	—
475	C₄×C₄₃	—	2	4	no	—
476	C₄×C₄₃	—	2	4	no	—
477	C₄×C₄₃	C₂×H(5,𝔽₂)	1	4	yes	—
478	C₄×C₄₃	C₂×H(5,𝔽₂)	1	4	yes	—
479	Dic₄₃	—	2	4	no	—
480	Dic₄₃	—	2	4	no	—
481	Dic₄₃	—	2	2	no	—
482	Dic₄₃	—	2	2	no	—
483	Dic₄₃	—	2	2	no	—
484	Dic₄₃	—	2	4	no	—
485	#3543	—	43	32	no	—
486	C₂×#560	—	43	4	no	—
487	C₂×#559	—	43	1	no	—
488	C₂×#550	—	43	1	no	—
489	C₂×#550	D₄₃	1	1	yes	characteristic, complemented
490	C₂×#546	—	43	2	no	—
491	C₂×#546	—	43	2	no	—
492	C₂×D₄²	—	43	2	no	—
493	C₂×D₄²	—	43	2	no	—
494	C₂×D₄²	—	43	1	no	—
495	C₂×#540	—	43	2	no	—
496	C₂×#540	—	43	2	no	—
497	C₂×#535	—	43	2	no	—
498	C₂×#535	—	43	2	no	—
499	C₂×#534	—	43	4	no	—
500	C₂²×#127	—	43	1	no	—
501	C₂×#529	—	43	1	no	—
502	C₂×#529	—	43	1	no	—
503	C₂×C₄₃	—	4	4	no	—
504	C₂×C₄₃	—	4	8	no	—
505	C₂×C₄₃	#3543	1	4	yes	complemented
506	C₂×C₄₃	C₂²×H(5,𝔽₂)	1	1	yes	characteristic
507	C₂×C₄₃	C₂²×H(5,𝔽₂)	1	1	yes	characteristic
508	C₂×C₄₃	C₂²×H(5,𝔽₂)	1	1	yes	characteristic
509	D₄₃	—	2	4	no	—
510	D₄₃	—	4	8	no	—
511	D₄₃	—	4	4	no	—
512	C₂²×#41	—	43	2	no	—
513	C₂²×#41	C₂×D₄₃	1	2	yes	complemented
514	C₂³×D₄	—	43	2	no	—
515	C₂³×D₄	—	43	2	no	—
516	C₂³×D₄	—	43	2	no	—
517	C₂³×D₄	—	43	4	no	—
518	C₂³×D₄	—	43	2	no	—
519	C₂³×D₄	—	43	2	no	—
520	#560	—	43	64	no	—
521	#559	—	43	16	no	—
522	#550	—	43	16	no	—
523	#550	C₂×D₄₃	1	16	yes	complemented
524	#546	—	43	32	no	—
525	#546	—	43	32	no	—
526	D₄²	—	43	32	no	—
527	D₄²	—	43	32	no	—
528	D₄²	—	43	16	no	—
529	#540	—	43	32	no	—
530	#540	—	43	32	no	—
531	#535	—	43	32	no	—
532	#535	—	43	32	no	—
533	#534	—	43	64	no	—
534	C₂×#127	—	43	2	no	—
535	C₂×#127	—	43	2	no	—
536	C₂×#127	—	43	2	no	—
537	C₂×#127	—	43	2	no	—
538	C₂×#127	—	43	16	no	—
539	C₂×#127	—	43	1	no	—
540	C₂×#127	C₂×D₄₃	1	1	yes	characteristic, complemented
541	C₂×#127	C₂×D₄₃	1	2	yes	complemented
542	#529	—	43	16	no	—
543	#529	—	43	16	no	—
544	C₂×#126	—	43	2	no	—
545	C₂×#126	—	43	2	no	—
546	C₂×#125	—	43	1	no	—
547	C₂×#125	—	43	1	no	—
548	C₂×#124	—	43	1	no	—
549	C₂×#124	—	43	2	no	—
550	C₂×#124	—	43	1	no	—
551	C₂×#124	—	43	2	no	—
552	C₂×#123	—	43	4	no	—
553	C₂×#123	—	43	2	no	—
554	C₂×#123	—	43	4	no	—
555	C₂×#123	—	43	2	no	—
556	C₂×#123	—	43	4	no	—
557	C₂×#123	—	43	4	no	—
558	C₂×C₂²⋊Q₈	—	43	1	no	—
559	C₂×C₂²⋊Q₈	—	43	1	no	—
560	C₂×#121	—	43	1	no	—
561	C₂×#121	—	43	2	no	—
562	C₂×#121	—	43	4	no	—
563	C₂×#121	—	43	4	no	—
564	C₂×#121	—	43	4	no	—
565	C₂×#121	—	43	4	no	—
566	C₂×#121	—	43	4	no	—
567	C₂×#121	—	43	4	no	—
568	C₂×#121	—	43	2	no	—
569	C₂×#121	—	43	1	no	—
570	C₂×#121	—	43	2	no	—
571	C₂×#121	—	43	4	no	—
572	C₂×#121	C₂×D₄₃	1	4	yes	complemented
573	C₂×#121	C₂×D₄₃	1	2	yes	complemented
574	C₂×#120	—	43	4	no	—
575	C₂×#120	—	43	4	no	—
576	C₂×#120	—	43	4	no	—
577	C₂×#120	—	43	4	no	—
578	C₂×#120	—	43	4	no	—
579	C₂×#120	—	43	4	no	—
580	C₂×C₄×Q₈	—	43	1	no	—
581	C₂×C₄×Q₈	C₂×D₄₃	1	1	yes	characteristic, complemented
582	C₂×C₄×D₄	—	43	2	no	—
583	C₂×C₄×D₄	—	43	2	no	—
584	C₂×C₄×D₄	—	43	2	no	—
585	C₂×C₄×D₄	—	43	2	no	—
586	C₂×C₄×D₄	—	43	1	no	—
587	C₂×C₄×D₄	—	43	2	no	—
588	C₂×C₄×D₄	C₂×D₄₃	1	1	yes	characteristic, complemented
589	C₂×C₄×D₄	C₂×D₄₃	1	2	yes	complemented
590	C₂×#117	—	43	2	no	—
591	C₂×#117	—	43	2	no	—
592	C₂²×C₂²⋊C₄	—	43	4	no	—
593	C₂²×C₄²	—	43	1	no	—
594	C₄₃	C₂×#3543	1	1	yes	characteristic, complemented, Sylow
595	C₂⁵	—	43	4	no	—
596	C₂⁵	—	43	4	no	—
597	C₂×#41	—	4	8	no	—
598	C₂×#41	—	43	16	no	—
599	C₂×#41	—	172	8	no	—
600	C₂×#41	C₂²×D₄₃	1	16	yes	complemented
601	C₂²×Q₈	—	43	1	no	—
602	C₂²×Q₈	C₂²×D₄₃	1	1	yes	characteristic
603	C₂²×D₄	—	43	2	no	—
604	C₂²×D₄	—	43	4	no	—
605	C₂²×D₄	—	43	4	no	—
606	C₂²×D₄	—	43	4	no	—
607	C₂²×D₄	—	43	4	no	—
608	C₂²×D₄	—	43	4	no	—
609	C₂²×D₄	—	43	4	no	—
610	C₂²×D₄	—	43	16	no	—
611	C₂²×D₄	—	43	16	no	—
612	C₂²×D₄	—	43	16	no	—
613	C₂²×D₄	—	43	32	no	—
614	C₂²×D₄	—	43	16	no	—
615	C₂²×D₄	—	43	2	no	—
616	C₂²×D₄	—	43	2	no	—
617	C₂²×D₄	—	43	1	no	—
618	C₂²×D₄	—	43	2	no	—
619	C₂²×D₄	—	43	4	no	—
620	C₂²×D₄	—	43	2	no	—
621	C₂²×D₄	—	43	16	no	—
622	C₂²×D₄	—	172	8	no	—
623	C₂²×D₄	—	172	8	no	—
624	C₂²×D₄	—	172	8	no	—
625	C₂²×D₄	—	172	8	no	—
626	C₂²×D₄	—	172	8	no	—
627	C₂²×D₄	—	172	16	no	—
628	C₂²×D₄	C₂²×D₄₃	1	2	yes	—
629	C₂²×D₄	C₂²×D₄₃	1	1	yes	characteristic
630	C₂²×D₄	C₂²×D₄₃	1	2	yes	—
631	C₂²×D₄	C₂²×D₄₃	1	4	yes	—
632	C₂²×D₄	C₂²×D₄₃	1	4	yes	—
633	C₂²×D₄	C₂²×D₄₃	1	2	yes	—
634	C₂³×C₄	—	43	4	no	—
635	C₂³×C₄	—	43	2	no	—
636	C₂³×C₄	—	43	1	no	—
637	C₂³×C₄	—	43	1	no	—
638	C₂³×C₄	—	43	1	no	—
639	C₂³×C₄	—	43	4	no	—
640	C₂³×C₄	C₂²×D₄₃	1	2	yes	—
641	C₂³×C₄	C₂²×D₄₃	1	4	yes	—
642	#127	—	43	16	no	—
643	#127	—	43	16	no	—
644	#127	—	43	16	no	—
645	#127	—	43	16	no	—
646	#127	—	43	8	no	—
647	#127	C₂²×D₄₃	1	8	yes	complemented
648	#127	C₂²×D₄₃	1	16	yes	complemented
649	#126	—	43	16	no	—
650	#126	—	43	16	no	—
651	#125	—	43	8	no	—
652	#125	—	43	8	no	—
653	#124	—	43	8	no	—
654	#124	—	43	16	no	—
655	#124	—	43	8	no	—
656	#124	—	43	16	no	—
657	#123	—	43	32	no	—
658	#123	—	43	16	no	—
659	#123	—	43	32	no	—
660	#123	—	43	16	no	—
661	#123	—	43	32	no	—
662	#123	—	43	32	no	—
663	C₂²⋊Q₈	—	43	8	no	—
664	C₂²⋊Q₈	—	43	8	no	—
665	#121	—	43	8	no	—
666	#121	—	43	32	no	—
667	#121	—	43	32	no	—
668	#121	—	43	32	no	—
669	#121	—	43	16	no	—
670	#121	—	43	32	no	—
671	#121	—	43	32	no	—
672	#121	—	43	32	no	—
673	#121	—	43	16	no	—
674	#121	—	43	8	no	—
675	#121	—	43	16	no	—
676	#121	—	43	32	no	—
677	#121	C₂²×D₄₃	1	32	yes	complemented
678	#121	C₂²×D₄₃	1	16	yes	complemented
679	#120	—	43	32	no	—
680	#120	—	43	32	no	—
681	#120	—	43	32	no	—
682	#120	—	43	32	no	—
683	#120	—	43	32	no	—
684	#120	—	43	32	no	—
685	C₄×Q₈	—	43	8	no	—
686	C₄×Q₈	C₂²×D₄₃	1	8	yes	complemented
687	C₄×D₄	—	43	16	no	—
688	C₄×D₄	—	43	16	no	—
689	C₄×D₄	—	43	16	no	—
690	C₄×D₄	—	43	16	no	—
691	C₄×D₄	—	43	8	no	—
692	C₄×D₄	—	43	16	no	—
693	C₄×D₄	C₂²×D₄₃	1	8	yes	complemented
694	C₄×D₄	C₂²×D₄₃	1	16	yes	complemented
695	#117	—	43	16	no	—
696	#117	—	43	16	no	—
697	C₂×C₄⋊C₄	—	43	2	no	—
698	C₂×C₄⋊C₄	—	43	2	no	—
699	C₂×C₄⋊C₄	—	43	2	no	—
700	C₂×C₄⋊C₄	—	43	2	no	—
701	C₂×C₄⋊C₄	—	43	1	no	—
702	C₂×C₄⋊C₄	—	43	1	no	—
703	C₂×C₄⋊C₄	—	43	2	no	—
704	C₂×C₄⋊C₄	—	43	2	no	—
705	C₂×C₄⋊C₄	—	43	2	no	—
706	C₂×C₄⋊C₄	C₂²×D₄₃	1	1	yes	characteristic
707	C₂×C₄⋊C₄	C₂²×D₄₃	1	1	yes	characteristic
708	C₂×C₄⋊C₄	C₂²×D₄₃	1	2	yes	—
709	C₂×C₂²⋊C₄	—	43	2	no	—
710	C₂×C₂²⋊C₄	—	43	2	no	—
711	C₂×C₂²⋊C₄	—	43	2	no	—
712	C₂×C₂²⋊C₄	—	43	4	no	—
713	C₂×C₂²⋊C₄	—	43	2	no	—
714	C₂×C₂²⋊C₄	—	43	2	no	—
715	C₂×C₂²⋊C₄	—	43	4	no	—
716	C₂×C₂²⋊C₄	—	43	4	no	—
717	C₂×C₂²⋊C₄	—	43	32	no	—
718	C₂×C₂²⋊C₄	—	43	2	no	—
719	C₂×C₂²⋊C₄	—	43	2	no	—
720	C₂×C₂²⋊C₄	—	43	2	no	—
721	C₂×C₂²⋊C₄	—	43	2	no	—
722	C₂×C₂²⋊C₄	—	43	4	no	—
723	C₂×C₂²⋊C₄	—	43	4	no	—
724	C₂×C₂²⋊C₄	C₂²×D₄₃	1	2	yes	—
725	C₂×C₂²⋊C₄	C₂²×D₄₃	1	4	yes	—
726	C₂×C₄²	—	43	1	no	—
727	C₂×C₄²	—	43	1	no	—
728	C₂×C₄²	—	43	2	no	—
729	C₂×C₄²	—	43	1	no	—
730	C₂×C₄²	—	43	8	no	—
731	C₂×C₄²	C₂²×D₄₃	1	2	yes	—
732	C₂×C₄²	C₂²×D₄₃	1	1	yes	characteristic
733	C₂⁴	—	43	1	no	—
734	C₂⁴	—	43	4	no	—
735	C₂⁴	—	43	2	no	—
736	C₂⁴	—	43	16	no	—
737	C₂⁴	—	43	16	no	—
738	C₂⁴	—	86	16	no	—
739	C₂⁴	—	172	8	no	—
740	C₂⁴	—	172	8	no	—
741	C₂⁴	—	172	8	no	—
742	C₂⁴	—	172	8	no	—
743	C₂⁴	—	172	8	no	—
744	C₂⁴	C₂³×D₄₃	1	2	yes	—
745	C₂⁴	C₂³×D₄₃	1	4	yes	—
746	#41	—	4	32	no	—
747	#41	—	172	32	no	—
748	C₂×Q₈	—	2	4	no	—
749	C₂×Q₈	—	43	4	no	—
750	C₂×Q₈	—	86	4	no	—
751	C₂×Q₈	C₂³×D₄₃	1	4	yes	—
752	C₂×D₄	—	2	8	no	—
753	C₂×D₄	—	2	4	no	—
754	C₂×D₄	—	2	8	no	—
755	C₂×D₄	—	4	4	no	—
756	C₂×D₄	—	4	8	no	—
757	C₂×D₄	—	4	8	no	—
758	C₂×D₄	—	43	8	no	—
759	C₂×D₄	—	43	16	no	—
760	C₂×D₄	—	43	16	no	—
761	C₂×D₄	—	43	16	no	—
762	C₂×D₄	—	43	16	no	—
763	C₂×D₄	—	43	16	no	—
764	C₂×D₄	—	43	16	no	—
765	C₂×D₄	—	43	8	no	—
766	C₂×D₄	—	43	8	no	—
767	C₂×D₄	—	43	4	no	—
768	C₂×D₄	—	43	8	no	—
769	C₂×D₄	—	43	16	no	—
770	C₂×D₄	—	43	8	no	—
771	C₂×D₄	—	86	8	no	—
772	C₂×D₄	—	86	8	no	—
773	C₂×D₄	—	86	4	no	—
774	C₂×D₄	—	86	8	no	—
775	C₂×D₄	—	86	8	no	—
776	C₂×D₄	—	172	32	no	—
777	C₂×D₄	—	172	4	no	—
778	C₂×D₄	—	172	8	no	—
779	C₂×D₄	—	172	32	no	—
780	C₂×D₄	—	172	32	no	—
781	C₂×D₄	—	172	32	no	—
782	C₂×D₄	—	172	32	no	—
783	C₂×D₄	—	172	8	no	—
784	C₂×D₄	—	172	8	no	—
785	C₂×D₄	—	172	8	no	—
786	C₂×D₄	—	172	8	no	—
787	C₂×D₄	—	172	8	no	—
788	C₂×D₄	—	172	8	no	—
789	C₂×D₄	—	172	64	no	—
790	C₂×D₄	C₂³×D₄₃	1	8	yes	—
791	C₂×D₄	C₂³×D₄₃	1	4	yes	—
792	C₂×D₄	C₂³×D₄₃	1	8	yes	—
793	C₂×D₄	C₂³×D₄₃	1	16	yes	—
794	C₂×D₄	C₂³×D₄₃	1	16	yes	—
795	C₂×D₄	C₂³×D₄₃	1	8	yes	—
796	C₂²×C₄	—	2	8	no	—
797	C₂²×C₄	—	4	8	no	—
798	C₂²×C₄	—	43	1	no	—
799	C₂²×C₄	—	43	1	no	—
800	C₂²×C₄	—	43	1	no	—
801	C₂²×C₄	—	43	2	no	—
802	C₂²×C₄	—	43	2	no	—
803	C₂²×C₄	—	43	2	no	—
804	C₂²×C₄	—	43	16	no	—
805	C₂²×C₄	—	43	4	no	—
806	C₂²×C₄	—	43	4	no	—
807	C₂²×C₄	—	43	4	no	—
808	C₂²×C₄	—	43	8	no	—
809	C₂²×C₄	—	43	16	no	—
810	C₂²×C₄	—	86	4	no	—
811	C₂²×C₄	—	86	4	no	—
812	C₂²×C₄	—	86	4	no	—
813	C₂²×C₄	—	86	8	no	—
814	C₂²×C₄	—	172	8	no	—
815	C₂²×C₄	—	172	8	no	—
816	C₂²×C₄	C₂³×D₄₃	1	8	yes	—
817	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
818	C₂²×C₄	C₂³×D₄₃	1	2	yes	—
819	C₂²×C₄	C₂³×D₄₃	1	2	yes	—
820	C₂²×C₄	C₂³×D₄₃	1	2	yes	—
821	C₂²×C₄	C₂³×D₄₃	1	16	yes	—
822	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
823	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
824	C₄⋊C₄	—	43	8	no	—
825	C₄⋊C₄	—	43	8	no	—
826	C₄⋊C₄	—	43	8	no	—
827	C₄⋊C₄	—	43	8	no	—
828	C₄⋊C₄	—	43	4	no	—
829	C₄⋊C₄	—	43	4	no	—
830	C₄⋊C₄	—	43	8	no	—
831	C₄⋊C₄	—	43	8	no	—
832	C₄⋊C₄	—	43	8	no	—
833	C₄⋊C₄	C₂³×D₄₃	1	4	yes	—
834	C₄⋊C₄	C₂³×D₄₃	1	4	yes	—
835	C₄⋊C₄	C₂³×D₄₃	1	8	yes	—
836	C₂²⋊C₄	—	43	8	no	—
837	C₂²⋊C₄	—	43	8	no	—
838	C₂²⋊C₄	—	43	8	no	—
839	C₂²⋊C₄	—	43	16	no	—
840	C₂²⋊C₄	—	43	8	no	—
841	C₂²⋊C₄	—	43	8	no	—
842	C₂²⋊C₄	—	43	16	no	—
843	C₂²⋊C₄	—	43	16	no	—
844	C₂²⋊C₄	—	43	8	no	—
845	C₂²⋊C₄	—	43	8	no	—
846	C₂²⋊C₄	—	43	8	no	—
847	C₂²⋊C₄	—	43	8	no	—
848	C₂²⋊C₄	—	43	16	no	—
849	C₂²⋊C₄	—	43	16	no	—
850	C₂²⋊C₄	C₂³×D₄₃	1	8	yes	—
851	C₂²⋊C₄	C₂³×D₄₃	1	16	yes	—
852	C₄²	—	43	4	no	—
853	C₄²	—	43	4	no	—
854	C₄²	—	43	4	no	—
855	C₄²	—	43	8	no	—
856	C₄²	C₂³×D₄₃	1	4	yes	—
857	C₄²	C₂³×D₄₃	1	8	yes	—
858	C₂³	—	2	4	no	—
859	C₂³	—	2	8	no	—
860	C₂³	—	2	4	no	—
861	C₂³	—	2	8	no	—
862	C₂³	—	2	8	no	—
863	C₂³	—	2	4	no	—
864	C₂³	—	43	4	no	—
865	C₂³	—	43	2	no	—
866	C₂³	—	43	8	no	—
867	C₂³	—	43	4	no	—
868	C₂³	—	86	32	no	—
869	C₂³	—	86	2	no	—
870	C₂³	—	86	2	no	—
871	C₂³	—	86	8	no	—
872	C₂³	—	86	4	no	—
873	C₂³	—	86	4	no	—
874	C₂³	—	86	8	no	—
875	C₂³	—	86	4	no	—
876	C₂³	—	86	8	no	—
877	C₂³	—	344	32	no	—
878	C₂³	—	344	32	no	—
879	C₂³	—	172	16	no	—
880	C₂³	—	172	16	no	—
881	C₂³	—	172	16	no	—
882	C₂³	—	172	16	no	—
883	C₂³	—	172	16	no	—
884	C₂³	C₂⁴×D₄₃	1	4	yes	—
885	C₂³	C₂⁴×D₄₃	1	8	yes	—
886	C₂³	C₂⁴×D₄₃	1	1	yes	characteristic
887	Q₈	—	2	8	no	—
888	Q₈	—	86	8	no	—
889	D₄	—	2	16	no	—
890	D₄	—	2	8	no	—
891	D₄	—	2	16	no	—
892	D₄	—	4	8	no	—
893	D₄	—	4	16	no	—
894	D₄	—	4	16	no	—
895	D₄	—	86	16	no	—
896	D₄	—	86	16	no	—
897	D₄	—	86	8	no	—
898	D₄	—	86	16	no	—
899	D₄	—	86	16	no	—
900	D₄	—	172	8	no	—
901	D₄	—	172	16	no	—
902	D₄	—	172	16	no	—
903	D₄	—	172	16	no	—
904	D₄	—	172	16	no	—
905	D₄	—	172	16	no	—
906	D₄	—	172	16	no	—
907	D₄	—	172	16	no	—
908	C₂×C₄	—	2	2	no	—
909	C₂×C₄	—	2	4	no	—
910	C₂×C₄	—	2	4	no	—
911	C₂×C₄	—	2	4	no	—
912	C₂×C₄	—	2	16	no	—
913	C₂×C₄	—	4	16	no	—
914	C₂×C₄	—	43	2	no	—
915	C₂×C₄	—	43	2	no	—
916	C₂×C₄	—	43	2	no	—
917	C₂×C₄	—	43	4	no	—
918	C₂×C₄	—	43	4	no	—
919	C₂×C₄	—	43	4	no	—
920	C₂×C₄	—	86	8	no	—
921	C₂×C₄	—	86	2	no	—
922	C₂×C₄	—	86	4	no	—
923	C₂×C₄	—	86	2	no	—
924	C₂×C₄	—	86	4	no	—
925	C₂×C₄	—	86	2	no	—
926	C₂×C₄	—	86	4	no	—
927	C₂×C₄	—	86	8	no	—
928	C₂×C₄	—	86	8	no	—
929	C₂×C₄	—	86	16	no	—
930	C₂×C₄	—	172	16	no	—
931	C₂×C₄	—	172	16	no	—
932	C₂×C₄	#13063370	1	4	yes	—
933	C₂×C₄	#13063371	1	4	yes	—
934	C₂×C₄	C₂⁴×D₄₃	1	2	yes	—
935	C₂×C₄	C₂⁴×D₄₃	1	4	yes	—
936	C₂×C₄	C₂⁴×D₄₃	1	4	yes	—
937	C₂×C₄	C₂⁴×D₄₃	1	4	yes	—
938	C₂×C₄	C₂⁴×D₄₃	1	2	yes	—
939	C₂×C₄	C₂⁴×D₄₃	1	2	yes	—
940	C₂²	—	2	4	no	—
941	C₂²	—	2	8	no	—
942	C₂²	—	2	4	no	—
943	C₂²	—	2	8	no	—
944	C₂²	—	2	8	no	—
945	C₂²	—	2	4	no	—
946	C₂²	—	4	8	no	—
947	C₂²	—	4	16	no	—
948	C₂²	—	43	4	no	—
949	C₂²	—	86	2	no	—
950	C₂²	—	86	2	no	—
951	C₂²	—	86	8	no	—
952	C₂²	—	86	8	no	—
953	C₂²	—	86	4	no	—
954	C₂²	—	86	4	no	—
955	C₂²	—	86	8	no	—
956	C₂²	—	86	4	no	—
957	C₂²	—	86	8	no	—
958	C₂²	—	344	32	no	—
959	C₂²	—	344	32	no	—
960	C₂²	—	172	16	no	—
961	C₂²	—	172	8	no	—
962	C₂²	H(5,𝔽₂)×D₄₃	1	2	yes	—
963	C₂²	C₂×#13063370	1	2	yes	—
964	C₂²	C₂×#13063371	1	2	yes	—
965	C₂²	C₂⁵×D₄₃	1	1	yes	characteristic
966	C₄	—	2	2	no	—
967	C₄	—	2	4	no	—
968	C₄	—	2	4	no	—
969	C₄	—	2	4	no	—
970	C₄	—	86	2	no	—
971	C₄	—	86	4	no	—
972	C₄	—	86	2	no	—
973	C₄	—	86	4	no	—
974	C₄	—	86	2	no	—
975	C₄	—	86	4	no	—
976	C₄	C₂×#13063370	1	4	yes	—
977	C₄	C₂×#13063371	1	4	yes	—
978	C₂	—	4	4	no	—
979	C₂	—	4	8	no	—
980	C₂	—	86	4	no	—
981	C₂	—	172	8	no	—
982	C₂	—	172	4	no	—
983	C₂	#19148919	1	4	yes	direct product factor
984	C₂	C₂×H(5,𝔽₂)×D₄₃	1	1	yes	characteristic
985	C₂	C₂²×#13063370	1	1	yes	characteristic
986	C₂	C₂²×#13063371	1	1	yes	characteristic

	subgroup	G/H
center	C₂³	C₂⁴×D₄₃
commutator, cosocle	C₂²×C₄₃	C₂⁶
Frattini	C₂²	C₂⁵×D₄₃
Fitting	C₂×C₄₃×#550	C₂
socle	C₂³×C₄₃	C₂⁵
hypercenter	C₂×#550	D₄₃
hypocenter	C₄₃	C₂×#3543
LCS	G ▷ C₂²×C₄₃ ▷ C₄₃
UCS	C₁ ◁ C₂³ ◁ C₂×#550

Complements

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

N	H ≅ G/N	type
1. #19148919	C₂	direct (N × H)
2. C₂×#14583637	C₂	semidirect
3. C₂×#14583634	C₂	semidirect
4. C₂×#14583569	C₂	semidirect
5. C₂×#14583544	C₂	semidirect
6. C₂×#14583537	C₂	semidirect
7. C₂×D₄×D₁₇₂	C₂	semidirect
8. C₂×#14583534	C₂	semidirect
9. C₂×#14583533	C₂	semidirect
10. C₂×#14583502	C₂	semidirect
11. C₂×#14583500	C₂	semidirect
12. C₂×#14583463	C₂	semidirect
13. C₂×#14583462	C₂	semidirect
14. C₂×#14583457	C₂	semidirect
15. C₂×#127×D₄₃	C₂	semidirect
16. C₂×#14583436	C₂	semidirect
17. C₂×#14583431	C₂	semidirect
18. C₂×C₄₃×#550	C₂	semidirect
19. C₂²×#10621900	C₂²	semidirect
20. C₂³×D₁₇₂	C₂²	semidirect
21. C₂²×D₄×D₄₃	C₂²	semidirect
22. C₂²×D₄×D₄₃	C₂²	semidirect
23. C₂²×D₄×D₄₃	C₂²	semidirect
24. C₂²×D₄×D₄₃	C₂²	semidirect
25. C₂²×D₄×D₄₃	C₂²	semidirect
26. #14583637	C₂²	semidirect
27. #14583634	C₂²	semidirect
28. #14583569	C₂²	semidirect
29. #14583544	C₂²	semidirect
30. #14583537	C₂²	semidirect
31. D₄×D₁₇₂	C₂²	semidirect
32. #14583534	C₂²	semidirect
33. #14583533	C₂²	semidirect
34. #14583502	C₂²	semidirect
35. #14583500	C₂²	semidirect
36. #14583463	C₂²	semidirect
37. #14583462	C₂²	semidirect
38. #14583457	C₂²	semidirect
40. C₂×#13063321	C₂²	semidirect
41. C₂×#13063321	C₂²	semidirect
42. C₂×#13063321	C₂²	semidirect
43. C₂×#13063321	C₂²	semidirect
44. #127×D₄₃	C₂²	semidirect
45. #14583436	C₂²	semidirect
46. #14583431	C₂²	semidirect
47. C₂×#13063320	C₂²	semidirect
48. C₂×#13063318	C₂²	semidirect
49. C₂×#13063316	C₂²	semidirect
50. C₂×#13063316	C₂²	semidirect
51. C₂×#13063314	C₂²	semidirect
52. C₂×#13063314	C₂²	semidirect
53. C₂×#13063313	C₂²	semidirect
54. C₂×#13063312	C₂²	semidirect
55. C₂×#13063310	C₂²	semidirect
56. C₂×#13063310	C₂²	semidirect
57. C₂×#13063309	C₂²	semidirect
58. C₂×#13063308	C₂²	semidirect
59. C₂×#13063307	C₂²	semidirect
60. C₂×#13063307	C₂²	semidirect
61. C₂×#13063305	C₂²	semidirect
62. C₂×#13063301	C₂²	semidirect
64. C₂×#13063300	C₂²	semidirect
65. C₂×#13063299	C₂²	semidirect
66. C₂×#13063299	C₂²	semidirect
67. C₂×#13063299	C₂²	semidirect
68. C₂×#13063298	C₂²	semidirect
69. C₂×#13063297	C₂²	semidirect
70. C₂×#13063297	C₂²	semidirect
71. C₂×#13063297	C₂²	semidirect
73. C₂×#13063296	C₂²	semidirect
74. C₂×#13063296	C₂²	semidirect
75. C₂×#13063295	C₂²	semidirect
76. C₂×#13063295	C₂²	semidirect
77. C₂×#13063293	C₂²	semidirect
78. C₂×#13063293	C₂²	semidirect
79. C₂×#13063293	C₂²	semidirect
80. C₂×#13063293	C₂²	semidirect
81. C₂×C₄×Dic₈₆	C₂²	semidirect
82. C₂×C₄×D₁₇₂	C₂²	semidirect
83. C₂×C₄×D₁₇₂	C₂²	semidirect
84. C₂×C₄×D₁₇₂	C₂²	semidirect
85. C₂×D₄×Dic₄₃	C₂²	semidirect
86. C₂×#13063287	C₂²	semidirect
87. C₂×C₄×C₂²⋊D₄₃	C₂²	semidirect
88. C₂×#13063284	C₂²	semidirect
89. C₂×#13063282	C₂²	semidirect
90. C₂²×(C₂×D₄₃)⋊C₄	C₂²	semidirect
91. C₂×C₄²×D₄₃	C₂²	semidirect
92. C₂²×#41×C₄₃	C₂²	semidirect
93. C₄₃×#550	C₂²	semidirect
94. C₂×#127×C₄₃	C₂²	semidirect
95. C₂×#127×C₄₃	C₂²	semidirect
96. C₂×#121×C₄₃	C₂²	semidirect
97. C₂×#121×C₄₃	C₂²	semidirect
98. C₂×C₄×Q₈×C₄₃	C₂²	semidirect
99. C₂×C₄×D₄×C₄₃	C₂²	semidirect
100. C₂×C₄×D₄×C₄₃	C₂²	semidirect
104. C₂×#10621900	C₂³	semidirect
113. C₂²×D₁₇₂	C₂³	semidirect
126. C₂×D₄×D₄₃	C₂³	semidirect
127. C₂×D₄×D₄₃	C₂³	semidirect
128. C₂×D₄×D₄₃	C₂³	semidirect
129. C₂×D₄×D₄₃	C₂³	semidirect
130. C₂×D₄×D₄₃	C₂³	semidirect
138. #13063321	C₂³	semidirect
139. #13063321	C₂³	semidirect
140. #13063321	C₂³	semidirect
141. #13063321	C₂³	semidirect
142. #13063320	C₂³	semidirect
143. #13063318	C₂³	semidirect
144. #13063316	C₂³	semidirect
145. #13063316	C₂³	semidirect
146. #13063314	C₂³	semidirect
147. #13063314	C₂³	semidirect
148. #13063313	C₂³	semidirect
149. #13063312	C₂³	semidirect
150. #13063310	C₂³	semidirect
151. #13063310	C₂³	semidirect
152. #13063309	C₂³	semidirect
153. #13063308	C₂³	semidirect
154. #13063307	C₂³	semidirect
155. #13063307	C₂³	semidirect
156. #13063305	C₂³	semidirect
157. #13063301	C₂³	semidirect
159. #13063300	C₂³	semidirect
160. #13063299	C₂³	semidirect
161. #13063299	C₂³	semidirect
162. #13063299	C₂³	semidirect
163. #13063298	C₂³	semidirect
164. #13063297	C₂³	semidirect
165. #13063297	C₂³	semidirect
166. #13063297	C₂³	semidirect
168. #13063296	C₂³	semidirect
169. #13063296	C₂³	semidirect
170. #13063295	C₂³	semidirect
171. #13063295	C₂³	semidirect
172. #13063293	C₂³	semidirect
173. #13063293	C₂³	semidirect
174. #13063293	C₂³	semidirect
175. #13063293	C₂³	semidirect
176. C₄×Dic₈₆	C₂³	semidirect
177. C₄×D₁₇₂	C₂³	semidirect
178. C₄×D₁₇₂	C₂³	semidirect
179. C₄×D₁₇₂	C₂³	semidirect
180. D₄×Dic₄₃	C₂³	semidirect
181. #13063287	C₂³	semidirect
182. C₄×C₂²⋊D₄₃	C₂³	semidirect
183. #13063284	C₂³	semidirect
184. #13063282	C₂³	semidirect
208. C₂×(C₂×D₄₃)⋊C₄	C₂³	semidirect
213. C₄²×D₄₃	C₂³	semidirect
215. C₂×#41×C₄₃	C₂³	semidirect
225. #127×C₄₃	C₂³	semidirect
226. #127×C₄₃	C₂³	semidirect
227. #121×C₄₃	C₂³	semidirect
228. #121×C₄₃	C₂³	semidirect
229. C₄×Q₈×C₄₃	C₂³	semidirect
230. C₄×D₄×C₄₃	C₂³	semidirect
231. C₄×D₄×C₄₃	C₂³	semidirect
489. C₂×#550	D₄₃	semidirect
505. C₂×C₄₃	#3543	semidirect
513. C₂²×#41	C₂×D₄₃	semidirect
523. #550	C₂×D₄₃	semidirect
540. C₂×#127	C₂×D₄₃	semidirect
541. C₂×#127	C₂×D₄₃	semidirect
572. C₂×#121	C₂×D₄₃	semidirect
573. C₂×#121	C₂×D₄₃	semidirect
581. C₂×C₄×Q₈	C₂×D₄₃	semidirect
588. C₂×C₄×D₄	C₂×D₄₃	semidirect
589. C₂×C₄×D₄	C₂×D₄₃	semidirect
594. C₄₃	C₂×#3543	semidirect
600. C₂×#41	C₂²×D₄₃	semidirect
647. #127	C₂²×D₄₃	semidirect
648. #127	C₂²×D₄₃	semidirect
677. #121	C₂²×D₄₃	semidirect
678. #121	C₂²×D₄₃	semidirect
686. C₄×Q₈	C₂²×D₄₃	semidirect
693. C₄×D₄	C₂²×D₄₃	semidirect
694. C₄×D₄	C₂²×D₄₃	semidirect
983. C₂	#19148919	direct (N × H)

Maximal subgroups

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

subgroup	index
#19148919	2
C₂×#14583637	2
C₂×#14583634	2
C₂×#14583569	2
C₂×#14583544	2
C₂×#14583537	2
C₂×D₄×D₁₇₂	2
C₂×#14583534	2
C₂×#14583533	2
C₂×#14583502	2
C₂×#14583500	2
C₂×#14583463	2
C₂×#14583462	2
C₂×#14583457	2
C₂×#127×D₄₃	2
C₂×#14583436	2
C₂×#14583431	2
C₂×C₄₃×#550	2
C₂×#3543	43

Subgroups — C2×#19148919 #26004186

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₂×#19148919 #26004186