Subgroups — C₂×#19148149 #26003624

Order 11008.

7954 conjugacy classes of subgroups.

The subgroup lattice has 1348 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#19148149	C₂	1	32	yes	maximal, direct product factor
2	C₂×#14583617	C₂	1	1	yes	maximal, characteristic, complemented
3	C₂×#14583612	C₂	1	1	yes	maximal, characteristic, complemented
4	C₂×#14583604	C₂	1	1	yes	maximal, characteristic, complemented
5	C₂×#14583597	C₂	1	1	yes	maximal, characteristic, complemented
6	C₂×#14583593	C₂	1	1	yes	maximal, characteristic, complemented
7	C₂×#14583588	C₂	1	1	yes	maximal, characteristic, complemented
8	C₂×#14583584	C₂	1	1	yes	maximal, characteristic, complemented
9	C₂×#14583582	C₂	1	2	yes	maximal, complemented
10	C₂×#14583575	C₂	1	2	yes	maximal, complemented
11	C₂×#14583573	C₂	1	2	yes	maximal, complemented
12	C₂×#14583550	C₂	1	1	yes	maximal, characteristic, complemented
13	C₂×#14583539	C₂	1	2	yes	maximal, complemented
14	C₂×#14583452	C₂	1	1	yes	maximal, characteristic, complemented
15	C₂×#14583433	C₂	1	2	yes	maximal, complemented
16	C₂×#14583427	C₂	1	2	yes	maximal, complemented
17	C₂×#14583427	C₂	1	2	yes	maximal, complemented
18	C₂×#14583411	C₂	1	1	yes	maximal, characteristic, complemented
19	C₂×#14583410	C₂	1	1	yes	maximal, characteristic, complemented
20	C₂×C₄×#10621898	C₂	1	2	yes	maximal, complemented
21	C₂×#14583367	C₂	1	1	yes	maximal, characteristic, complemented
22	C₂²×C₄×C₂²⋊D₄₃	C₂	1	1	yes	maximal, characteristic, complemented
23	C₂×#117×D₄₃	C₂	1	1	yes	maximal, characteristic, complemented
24	C₂²×#117×C₄₃	C₂	1	1	yes	maximal, characteristic, complemented
25	C₂²×#10621898	C₂²	1	2	yes	—
26	C₂²×#10621898	C₂²	1	1	yes	characteristic
27	C₂³×C₂²⋊D₄₃	C₂²	1	1	yes	characteristic
28	C₂³×C₄×D₄₃	C₂²	1	1	yes	characteristic
29	#14583617	C₂²	1	16	yes	complemented
30	#14583612	C₂²	1	16	yes	complemented
31	#14583604	C₂²	1	16	yes	complemented
32	#14583597	C₂²	1	16	yes	complemented
33	#14583593	C₂²	1	16	yes	complemented
34	#14583588	C₂²	1	16	yes	complemented
35	#14583584	C₂²	1	16	yes	complemented
36	#14583582	C₂²	1	32	yes	complemented
37	#14583575	C₂²	1	32	yes	complemented
38	#14583573	C₂²	1	32	yes	complemented
39	#14583550	C₂²	1	16	yes	complemented
40	#14583539	C₂²	1	32	yes	complemented
41	#14583452	C₂²	1	16	yes	complemented
42	C₂×#13063324	C₂²	1	1	yes	characteristic, complemented
43	C₂×#13063324	C₂²	1	1	yes	characteristic, complemented
44	#14583433	C₂²	1	32	yes	complemented
45	#14583427	C₂²	1	32	yes	complemented
46	#14583427	C₂²	1	32	yes	complemented
47	C₂×#13063320	C₂²	1	2	yes	complemented
48	C₂×#13063320	C₂²	1	2	yes	complemented
49	C₂×#13063319	C₂²	1	2	yes	complemented
50	C₂×#13063319	C₂²	1	2	yes	complemented
51	C₂×#13063318	C₂²	1	2	yes	complemented
52	C₂×#13063318	C₂²	1	2	yes	complemented
53	C₂×#13063317	C₂²	1	2	yes	complemented
54	C₂×#13063316	C₂²	1	1	yes	characteristic, complemented
55	C₂×#13063316	C₂²	1	1	yes	characteristic, complemented
56	C₂×#13063315	C₂²	1	2	yes	complemented
57	C₂×#13063315	C₂²	1	2	yes	complemented
58	C₂×#13063313	C₂²	1	2	yes	complemented
59	C₂×#13063311	C₂²	1	2	yes	—
60	C₂×#13063311	C₂²	1	2	yes	complemented
61	#14583411	C₂²	1	16	yes	complemented
62	#14583410	C₂²	1	16	yes	complemented
63	C₂×#13063310	C₂²	1	2	yes	complemented
64	C₂×#13063310	C₂²	1	2	yes	complemented
65	C₂×#13063309	C₂²	1	2	yes	—
66	C₂×#13063308	C₂²	1	2	yes	—
67	C₂×#13063308	C₂²	1	2	yes	—
68	C₂×#13063308	C₂²	1	2	yes	complemented
69	C₂×#13063307	C₂²	1	2	yes	—
70	C₂×#13063307	C₂²	1	2	yes	complemented
71	C₂×#13063305	C₂²	1	1	yes	characteristic, complemented
72	C₂×#13063305	C₂²	1	1	yes	characteristic, complemented
73	C₂×#13063304	C₂²	1	2	yes	complemented
74	C₂×#13063304	C₂²	1	1	yes	characteristic, complemented
75	C₂×#13063304	C₂²	1	1	yes	characteristic, complemented
76	C₂×#13063303	C₂²	1	2	yes	complemented
77	C₂×#13063303	C₂²	1	2	yes	complemented
78	C₂×#13063302	C₂²	1	2	yes	—
79	C₂×#13063302	C₂²	1	2	yes	—
80	C₂×#13063300	C₂²	1	1	yes	characteristic, complemented
81	C₂×#13063300	C₂²	1	1	yes	characteristic, complemented
82	C₂×#13063299	C₂²	1	2	yes	—
83	C₂×#13063299	C₂²	1	1	yes	characteristic, complemented
84	C₂×#13063299	C₂²	1	1	yes	characteristic, complemented
85	C₂×#13063298	C₂²	1	2	yes	—
86	C₂×#13063298	C₂²	1	2	yes	—
87	C₂×#13063295	C₂²	1	2	yes	—
88	C₂×#13063294	C₂²	1	2	yes	—
89	C₄×#10621898	C₂²	1	32	yes	complemented
90	#14583367	C₂²	1	16	yes	complemented
91	C₂×C₄×Dic₈₆	C₂²	1	2	yes	complemented
92	C₂×C₄×Dic₈₆	C₂²	1	2	yes	complemented
93	C₂×C₄×Dic₈₆	C₂²	1	2	yes	complemented
94	C₂×#13063290	C₂²	1	1	yes	characteristic, complemented
95	C₂×#13063290	C₂²	1	1	yes	characteristic, complemented
96	C₂×C₄×D₁₇₂	C₂²	1	2	yes	complemented
97	C₂×C₄×D₁₇₂	C₂²	1	2	yes	complemented
98	C₂×C₄×D₁₇₂	C₂²	1	2	yes	complemented
99	C₂×#13063287	C₂²	1	1	yes	characteristic, complemented
100	C₂×#13063287	C₂²	1	1	yes	characteristic, complemented
101	C₂×C₄×C₂²⋊D₄₃	C₂²	1	2	yes	—
102	C₂×C₄×C₂²⋊D₄₃	C₂²	1	1	yes	characteristic
103	C₂×C₄×C₂²⋊D₄₃	C₂²	1	1	yes	characteristic
104	C₂×C₄×C₂²⋊D₄₃	C₂²	1	1	yes	characteristic
105	C₂×C₄×C₂²⋊D₄₃	C₂²	1	1	yes	characteristic
106	C₂×C₄×C₂²⋊D₄₃	C₂²	1	1	yes	characteristic
107	C₂×C₄×C₂²⋊D₄₃	C₂²	1	1	yes	characteristic
108	C₂×C₄×C₂²⋊D₄₃	C₂²	1	1	yes	characteristic
109	C₂×C₄×C₂²⋊D₄₃	C₂²	1	1	yes	characteristic
110	C₂×C₄×C₂²⋊D₄₃	C₂²	1	16	yes	complemented
111	C₂×C₄×C₂²⋊D₄₃	C₂²	1	2	yes	complemented
112	C₂×C₄×C₂²⋊D₄₃	C₂²	1	2	yes	complemented
113	C₂×C₄×C₂²⋊D₄₃	C₂²	1	2	yes	complemented
114	C₂×(C₂²⋊D₄₃)⋊C₄	C₂²	1	2	yes	—
115	C₂×(C₂²⋊D₄₃)⋊C₄	C₂²	1	2	yes	—
116	C₂×#13063284	C₂²	1	1	yes	characteristic
117	C₂×#13063284	C₂²	1	2	yes	complemented
118	C₂×#13063283	C₂²	1	1	yes	characteristic, complemented
119	C₂×#13063283	C₂²	1	1	yes	characteristic, complemented
120	C₂×#13063282	C₂²	1	2	yes	complemented
121	C₂×#13063282	C₂²	1	2	yes	complemented
122	C₂×#13063282	C₂²	1	2	yes	complemented
123	C₂×#13063282	C₂²	1	2	yes	complemented
124	C₂×#13063281	C₂²	1	2	yes	—
125	#117×D₄₃	C₂²	1	16	yes	complemented
126	C₂²×Dic₄₃⋊C₄	C₂²	1	1	yes	characteristic
127	C₂×C₄⋊C₄×D₄₃	C₂²	1	1	yes	characteristic, complemented
128	C₂×C₄⋊C₄×D₄₃	C₂²	1	1	yes	characteristic, complemented
129	C₂²×C₂²⋊Dic₄₃	C₂²	1	1	yes	characteristic
130	C₂²×(C₂×D₄₃)⋊C₄	C₂²	1	1	yes	characteristic
131	C₂×C₂²⋊C₄×D₄₃	C₂²	1	2	yes	—
132	C₂²×C₄×Dic₄₃	C₂²	1	1	yes	characteristic
133	C₂×C₄²×D₄₃	C₂²	1	2	yes	complemented
134	C₂×C₄²×D₄₃	C₂²	1	2	yes	complemented
135	C₂⁴×C₄×C₄₃	C₂²	1	1	yes	characteristic
136	C₂×#117×C₄₃	C₂²	1	2	yes	—
137	C₂×#117×C₄₃	C₂²	1	1	yes	characteristic
138	C₂×#117×C₄₃	C₂²	1	1	yes	characteristic
139	C₂×#117×C₄₃	C₂²	1	1	yes	characteristic, complemented
140	C₂×#117×C₄₃	C₂²	1	2	yes	complemented
141	C₂×#117×C₄₃	C₂²	1	1	yes	characteristic, complemented
142	C₂×#117×C₄₃	C₂²	1	16	yes	complemented
143	C₂²×C₄⋊C₄×C₄₃	C₂²	1	1	yes	characteristic, complemented
144	C₂²×C₄⋊C₄×C₄₃	C₂²	1	1	yes	characteristic, complemented
145	C₂²×C₂²⋊C₄×C₄₃	C₂²	1	2	yes	—
146	C₂²×C₄²×C₄₃	C₂²	1	2	yes	complemented
147	C₂⁴×D₄₃	C₂³	1	1	yes	characteristic
148	C₂×#10621898	—	2	8	no	—
149	C₂×#10621898	—	2	16	no	—
150	C₂×#10621898	C₂³	1	8	yes	—
151	C₂×#10621898	C₂³	1	16	yes	—
152	C₂²×Dic₈₆	C₂³	1	1	yes	characteristic
153	C₂²×Dic₈₆	C₂³	1	2	yes	—
154	C₂²×Dic₈₆	C₂³	1	2	yes	—
155	C₂²×D₁₇₂	C₂³	1	1	yes	characteristic
156	C₂²×D₁₇₂	C₂³	1	2	yes	—
157	C₂²×D₁₇₂	C₂³	1	2	yes	—
158	C₂²×C₂²⋊D₄₃	—	2	8	no	—
159	C₂²×C₂²⋊D₄₃	C₂³	1	2	yes	—
160	C₂²×C₂²⋊D₄₃	C₂³	1	1	yes	characteristic
161	C₂²×C₂²⋊D₄₃	C₂³	1	1	yes	characteristic
162	C₂²×C₂²⋊D₄₃	C₂³	1	1	yes	characteristic
163	C₂²×C₂²⋊D₄₃	C₂³	1	2	yes	—
164	C₂²×C₂²⋊D₄₃	C₂³	1	8	yes	—
165	C₂²×C₂²⋊D₄₃	C₂³	1	2	yes	—
166	C₂²×C₂²⋊D₄₃	C₂³	1	1	yes	characteristic
167	C₂³×Dic₄₃	C₂³	1	1	yes	characteristic
168	C₂³×Dic₄₃	C₂³	1	1	yes	characteristic
169	C₂³×Dic₄₃	C₂³	1	1	yes	characteristic
170	C₂²×C₄×D₄₃	—	2	8	no	—
171	C₂²×C₄×D₄₃	C₂³	1	1	yes	characteristic
172	C₂²×C₄×D₄₃	C₂³	1	2	yes	—
173	C₂²×C₄×D₄₃	C₂³	1	2	yes	—
174	C₂²×C₄×D₄₃	C₂³	1	2	yes	—
175	C₂²×C₄×D₄₃	C₂³	1	1	yes	characteristic
176	C₂²×C₄×D₄₃	C₂³	1	8	yes	—
177	C₂²×C₄×D₄₃	C₂³	1	1	yes	characteristic
178	C₂²×C₄×D₄₃	C₂³	1	1	yes	characteristic
179	C₂²×C₄×D₄₃	C₂³	1	2	yes	—
180	C₂²×C₄×D₄₃	C₂³	1	2	yes	—
181	#13063324	C₂³	1	8	yes	complemented
182	#13063324	C₂³	1	8	yes	complemented
183	#13063320	C₂³	1	16	yes	complemented
184	#13063320	C₂³	1	16	yes	complemented
185	#13063319	C₂³	1	16	yes	complemented
186	#13063319	C₂³	1	16	yes	complemented
187	#13063318	C₂³	1	16	yes	complemented
188	#13063318	C₂³	1	16	yes	complemented
189	#13063317	C₂³	1	16	yes	complemented
190	#13063316	C₂³	1	8	yes	complemented
191	#13063316	C₂³	1	8	yes	complemented
192	#13063315	C₂³	1	16	yes	complemented
193	#13063315	C₂³	1	16	yes	complemented
194	#13063313	C₂³	1	16	yes	complemented
195	#13063311	C₂³	1	16	yes	—
196	#13063311	C₂³	1	16	yes	complemented
197	#13063310	C₂³	1	16	yes	complemented
198	#13063310	C₂³	1	16	yes	complemented
199	#13063309	C₂³	1	16	yes	—
200	#13063308	C₂³	1	16	yes	—
201	#13063308	C₂³	1	16	yes	—
202	#13063308	C₂³	1	16	yes	complemented
203	#13063307	C₂³	1	16	yes	—
204	#13063307	C₂³	1	16	yes	complemented
205	#13063305	C₂³	1	8	yes	complemented
206	#13063305	C₂³	1	8	yes	complemented
207	#13063304	C₂³	1	16	yes	complemented
208	#13063304	C₂³	1	8	yes	complemented
209	#13063304	C₂³	1	8	yes	complemented
210	#13063303	C₂³	1	16	yes	complemented
211	#13063303	C₂³	1	16	yes	complemented
212	#13063302	C₂³	1	16	yes	—
213	#13063302	C₂³	1	16	yes	—
214	#13063300	C₂³	1	8	yes	complemented
215	#13063300	C₂³	1	8	yes	complemented
216	#13063299	C₂³	1	16	yes	—
217	#13063299	C₂³	1	8	yes	complemented
218	#13063299	C₂³	1	8	yes	complemented
219	#13063298	C₂³	1	16	yes	—
220	#13063298	C₂³	1	16	yes	—
221	#13063295	C₂³	1	16	yes	—
222	#13063294	C₂³	1	16	yes	—
223	C₄×Dic₈₆	C₂³	1	16	yes	complemented
224	C₄×Dic₈₆	C₂³	1	16	yes	complemented
225	C₄×Dic₈₆	C₂³	1	16	yes	complemented
226	#13063290	C₂³	1	8	yes	complemented
227	#13063290	C₂³	1	8	yes	complemented
228	C₄×D₁₇₂	C₂³	1	16	yes	complemented
229	C₄×D₁₇₂	C₂³	1	16	yes	complemented
230	C₄×D₁₇₂	C₂³	1	16	yes	complemented
231	#13063287	C₂³	1	8	yes	complemented
232	#13063287	C₂³	1	8	yes	complemented
233	C₄×C₂²⋊D₄₃	C₂³	1	8	yes	—
234	C₄×C₂²⋊D₄₃	C₂³	1	8	yes	—
235	C₄×C₂²⋊D₄₃	C₂³	1	8	yes	—
236	C₄×C₂²⋊D₄₃	C₂³	1	16	yes	—
237	C₄×C₂²⋊D₄₃	C₂³	1	8	yes	—
238	C₄×C₂²⋊D₄₃	C₂³	1	8	yes	—
239	C₄×C₂²⋊D₄₃	C₂³	1	8	yes	—
240	C₄×C₂²⋊D₄₃	C₂³	1	8	yes	—
241	C₄×C₂²⋊D₄₃	C₂³	1	8	yes	—
242	C₄×C₂²⋊D₄₃	C₂³	1	16	yes	complemented
243	C₄×C₂²⋊D₄₃	C₂³	1	16	yes	complemented
244	C₄×C₂²⋊D₄₃	C₂³	1	16	yes	complemented
245	(C₂²⋊D₄₃)⋊C₄	C₂³	1	16	yes	—
246	(C₂²⋊D₄₃)⋊C₄	C₂³	1	16	yes	—
247	#13063284	C₂³	1	8	yes	—
248	#13063284	C₂³	1	16	yes	complemented
249	#13063283	C₂³	1	8	yes	complemented
250	#13063283	C₂³	1	8	yes	complemented
251	#13063282	C₂³	1	16	yes	complemented
252	#13063282	C₂³	1	16	yes	complemented
253	#13063282	C₂³	1	16	yes	complemented
254	#13063282	C₂³	1	16	yes	complemented
255	#13063281	C₂³	1	16	yes	—
256	C₂×C₄⋊Dic₄₃	C₂³	1	1	yes	characteristic
257	C₂×C₄⋊Dic₄₃	C₂³	1	1	yes	characteristic
258	C₂×C₄⋊Dic₄₃	C₂³	1	2	yes	—
259	C₂×C₄⋊Dic₄₃	C₂³	1	2	yes	—
260	C₂×C₄⋊Dic₄₃	C₂³	1	2	yes	—
261	C₂×C₄⋊Dic₄₃	C₂³	1	2	yes	—
262	C₂×Dic₄₃⋊C₄	C₂³	1	8	yes	—
263	C₂×Dic₄₃⋊C₄	C₂³	1	2	yes	—
264	C₂×Dic₄₃⋊C₄	C₂³	1	2	yes	—
265	C₂×Dic₄₃⋊C₄	C₂³	1	1	yes	characteristic
266	C₂×Dic₄₃⋊C₄	C₂³	1	1	yes	characteristic
267	C₂×Dic₄₃⋊C₄	C₂³	1	1	yes	characteristic
268	C₂×Dic₄₃⋊C₄	C₂³	1	1	yes	characteristic
269	C₂×Dic₄₃⋊C₄	C₂³	1	2	yes	—
270	C₂×Dic₄₃⋊C₄	C₂³	1	2	yes	—
271	C₂×Dic₄₃⋊C₄	C₂³	1	2	yes	—
272	C₂×Dic₄₃⋊C₄	C₂³	1	2	yes	—
273	C₂×Dic₄₃⋊C₄	C₂³	1	2	yes	—
274	C₂×Dic₄₃⋊C₄	C₂³	1	2	yes	—
275	C₂×Dic₄₃⋊C₄	C₂³	1	2	yes	—
276	C₂×Dic₄₃⋊C₄	C₂³	1	2	yes	—
277	C₄⋊C₄×D₄₃	C₂³	1	8	yes	complemented
278	C₄⋊C₄×D₄₃	C₂³	1	8	yes	complemented
279	C₂×C₂²⋊Dic₄₃	C₂³	1	8	yes	—
280	C₂×C₂²⋊Dic₄₃	C₂³	1	2	yes	—
281	C₂×C₂²⋊Dic₄₃	C₂³	1	1	yes	characteristic
282	C₂×C₂²⋊Dic₄₃	C₂³	1	1	yes	characteristic
283	C₂×C₂²⋊Dic₄₃	C₂³	1	1	yes	characteristic
284	C₂×C₂²⋊Dic₄₃	C₂³	1	1	yes	characteristic
285	C₂×C₂²⋊Dic₄₃	C₂³	1	2	yes	—
286	C₂×C₂²⋊Dic₄₃	C₂³	1	2	yes	—
287	C₂×(C₂×D₄₃)⋊C₄	C₂³	1	8	yes	—
288	C₂×(C₂×D₄₃)⋊C₄	C₂³	1	2	yes	—
289	C₂×(C₂×D₄₃)⋊C₄	C₂³	1	2	yes	—
290	C₂×(C₂×D₄₃)⋊C₄	C₂³	1	1	yes	characteristic
291	C₂×(C₂×D₄₃)⋊C₄	C₂³	1	1	yes	characteristic
292	C₂×(C₂×D₄₃)⋊C₄	C₂³	1	1	yes	characteristic
293	C₂×(C₂×D₄₃)⋊C₄	C₂³	1	1	yes	characteristic
294	C₂×(C₂×D₄₃)⋊C₄	C₂³	1	2	yes	—
295	C₂×(C₂×D₄₃)⋊C₄	C₂³	1	2	yes	—
296	C₂×(C₂×D₄₃)⋊C₄	C₂³	1	2	yes	—
297	C₂×(C₂×D₄₃)⋊C₄	C₂³	1	2	yes	—
298	C₂×(C₂×D₄₃)⋊C₄	C₂³	1	2	yes	—
299	C₂×(C₂×D₄₃)⋊C₄	C₂³	1	2	yes	—
300	C₂×(C₂×D₄₃)⋊C₄	C₂³	1	2	yes	—
301	C₂×(C₂×D₄₃)⋊C₄	C₂³	1	2	yes	—
302	C₂²⋊C₄×D₄₃	C₂³	1	16	yes	—
303	C₂×C₄×Dic₄₃	C₂³	1	1	yes	characteristic
304	C₂×C₄×Dic₄₃	C₂³	1	2	yes	—
305	C₂×C₄×Dic₄₃	C₂³	1	2	yes	—
306	C₂×C₄×Dic₄₃	C₂³	1	2	yes	—
307	C₂×C₄×Dic₄₃	C₂³	1	2	yes	—
308	C₂×C₄×Dic₄₃	C₂³	1	2	yes	—
309	C₂×C₄×Dic₄₃	C₂³	1	1	yes	characteristic
310	C₂×C₄×Dic₄₃	C₂³	1	1	yes	characteristic
311	C₂×C₄×Dic₄₃	C₂³	1	1	yes	characteristic
312	C₂×C₄×Dic₄₃	C₂³	1	8	yes	—
313	C₄²×D₄₃	C₂³	1	16	yes	complemented
314	C₄²×D₄₃	C₂³	1	16	yes	complemented
315	C₂⁵×C₄₃	C₂³	1	1	yes	characteristic
316	C₂³×C₄×C₄₃	—	2	8	no	—
317	C₂³×C₄×C₄₃	C₂³	1	1	yes	characteristic
318	C₂³×C₄×C₄₃	C₂³	1	2	yes	—
319	C₂³×C₄×C₄₃	C₂³	1	1	yes	characteristic
320	C₂³×C₄×C₄₃	C₂³	1	1	yes	characteristic
321	C₂³×C₄×C₄₃	C₂³	1	1	yes	characteristic
322	C₂³×C₄×C₄₃	C₂³	1	1	yes	characteristic
323	C₂³×C₄×C₄₃	C₂³	1	8	yes	—
324	C₂³×C₄×C₄₃	C₂³	1	2	yes	—
325	C₂³×C₄×C₄₃	C₂³	1	1	yes	characteristic
326	#117×C₄₃	C₂³	1	16	yes	—
327	#117×C₄₃	C₂³	1	8	yes	—
328	#117×C₄₃	C₂³	1	8	yes	—
329	#117×C₄₃	C₂³	1	8	yes	complemented
330	#117×C₄₃	C₂³	1	8	yes	complemented
331	#117×C₄₃	C₂³	1	16	yes	complemented
332	C₂×C₄⋊C₄×C₄₃	C₂³	1	1	yes	characteristic
333	C₂×C₄⋊C₄×C₄₃	C₂³	1	1	yes	characteristic
334	C₂×C₄⋊C₄×C₄₃	C₂³	1	1	yes	characteristic
335	C₂×C₄⋊C₄×C₄₃	C₂³	1	1	yes	characteristic
336	C₂×C₄⋊C₄×C₄₃	C₂³	1	2	yes	—
337	C₂×C₄⋊C₄×C₄₃	C₂³	1	2	yes	—
338	C₂×C₄⋊C₄×C₄₃	C₂³	1	8	yes	complemented
339	C₂×C₄⋊C₄×C₄₃	C₂³	1	8	yes	complemented
340	C₂×C₂²⋊C₄×C₄₃	C₂³	1	2	yes	—
341	C₂×C₂²⋊C₄×C₄₃	C₂³	1	2	yes	—
342	C₂×C₂²⋊C₄×C₄₃	C₂³	1	16	yes	—
343	C₂×C₂²⋊C₄×C₄₃	C₂³	1	2	yes	—
344	C₂×C₂²⋊C₄×C₄₃	C₂³	1	2	yes	—
345	C₂×C₄²×C₄₃	C₂³	1	2	yes	—
346	C₂×C₄²×C₄₃	C₂³	1	2	yes	—
347	C₂×C₄²×C₄₃	C₂³	1	2	yes	—
348	C₂×C₄²×C₄₃	C₂³	1	2	yes	—
349	C₂×C₄²×C₄₃	C₂³	1	16	yes	complemented
350	C₂⁴×C₄₃	—	2	4	no	—
351	C₂⁴×C₄₃	—	2	4	no	—
352	C₂⁴×C₄₃	—	4	2	no	—
353	C₂⁴×C₄₃	C₂⁴	1	1	yes	characteristic
354	C₂⁴×C₄₃	C₂⁴	1	4	yes	—
355	C₂⁴×C₄₃	C₂⁴	1	1	yes	characteristic
356	C₂⁴×C₄₃	C₂⁴	1	1	yes	characteristic
357	C₂³×D₄₃	—	2	4	no	—
358	C₂³×D₄₃	—	2	4	no	—
359	C₂³×D₄₃	—	4	2	no	—
360	C₂³×D₄₃	C₂⁴	1	1	yes	characteristic
361	C₂³×D₄₃	C₂⁴	1	2	yes	—
362	C₂³×D₄₃	C₂⁴	1	4	yes	—
363	C₂³×D₄₃	C₂⁴	1	1	yes	characteristic
364	C₂²×C₄×C₄₃	—	2	4	no	—
365	C₂²×C₄×C₄₃	—	2	4	no	—
366	C₂²×C₄×C₄₃	—	2	4	no	—
367	C₂²×C₄×C₄₃	—	2	4	no	—
368	C₂²×C₄×C₄₃	—	2	32	no	—
369	C₂²×C₄×C₄₃	—	2	4	no	—
370	C₂²×C₄×C₄₃	—	2	8	no	—
371	C₂²×C₄×C₄₃	—	4	4	no	—
372	C₂²×C₄×C₄₃	#41	1	8	yes	complemented
373	C₂²×C₄×C₄₃	C₂⁴	1	1	yes	characteristic
374	C₂²×C₄×C₄₃	C₂⁴	1	2	yes	—
375	C₂²×C₄×C₄₃	C₂⁴	1	2	yes	—
376	C₂²×C₄×C₄₃	C₂⁴	1	2	yes	—
377	C₂²×C₄×C₄₃	C₂⁴	1	2	yes	—
378	C₂²×C₄×C₄₃	C₂⁴	1	4	yes	—
379	C₂²×C₄×C₄₃	C₂⁴	1	8	yes	—
380	C₂²×C₄×C₄₃	C₂⁴	1	1	yes	characteristic
381	C₂²×C₄×C₄₃	C₂⁴	1	4	yes	—
382	C₂²×C₄×C₄₃	C₂⁴	1	4	yes	—
383	C₂²×C₄×C₄₃	C₂⁴	1	4	yes	—
384	C₂²×C₄×C₄₃	C₂⁴	1	4	yes	—
385	C₂²×C₄×C₄₃	C₂⁴	1	8	yes	—
386	C₂²×C₄×C₄₃	C₂⁴	1	1	yes	characteristic
387	C₂²×C₄×C₄₃	C₂⁴	1	4	yes	—
388	C₂²×C₄×C₄₃	C₂⁴	1	1	yes	characteristic
389	C₂×C₂²⋊D₄₃	—	2	32	no	—
390	C₂×C₂²⋊D₄₃	—	2	4	no	—
391	C₂×C₂²⋊D₄₃	—	2	4	no	—
392	C₂×C₂²⋊D₄₃	—	2	8	no	—
393	C₂×C₂²⋊D₄₃	—	2	8	no	—
394	C₂×C₂²⋊D₄₃	—	2	4	no	—
395	C₂×C₂²⋊D₄₃	—	4	4	no	—
396	C₂×C₂²⋊D₄₃	#41	1	8	yes	complemented
397	C₂×C₂²⋊D₄₃	C₂⁴	1	8	yes	—
398	C₂×C₂²⋊D₄₃	C₂⁴	1	4	yes	—
399	C₂×C₂²⋊D₄₃	C₂⁴	1	4	yes	—
400	C₂×C₂²⋊D₄₃	C₂⁴	1	4	yes	—
401	C₂×C₂²⋊D₄₃	C₂⁴	1	8	yes	—
402	C₂×C₂²⋊D₄₃	C₂⁴	1	8	yes	—
403	C₂×C₂²⋊D₄₃	C₂⁴	1	4	yes	—
404	C₂²×Dic₄₃	—	2	4	no	—
405	C₂²×Dic₄₃	—	2	4	no	—
406	C₂²×Dic₄₃	—	4	2	no	—
407	C₂²×Dic₄₃	C₂⁴	1	1	yes	characteristic
408	C₂²×Dic₄₃	C₂⁴	1	1	yes	characteristic
409	C₂²×Dic₄₃	C₂⁴	1	1	yes	characteristic
410	C₂²×Dic₄₃	C₂⁴	1	2	yes	—
411	C₂²×Dic₄₃	C₂⁴	1	2	yes	—
412	C₂²×Dic₄₃	C₂⁴	1	2	yes	—
413	C₂²×Dic₄₃	C₂⁴	1	1	yes	characteristic
414	C₂²×Dic₄₃	C₂⁴	1	4	yes	—
415	C₂²×Dic₄₃	C₂⁴	1	1	yes	characteristic
416	C₂²×Dic₄₃	C₂⁴	1	4	yes	—
417	C₂²×Dic₄₃	C₂⁴	1	4	yes	—
418	C₂²×Dic₄₃	C₂⁴	1	1	yes	characteristic
419	#10621898	—	2	32	no	—
420	#10621898	—	2	64	no	—
421	C₂×D₁₇₂	—	2	4	no	—
422	C₂×D₁₇₂	—	2	8	no	—
423	C₂×D₁₇₂	—	4	4	no	—
424	C₂×D₁₇₂	C₂⁴	1	4	yes	—
425	C₂×D₁₇₂	C₂⁴	1	8	yes	—
426	C₂×D₁₇₂	C₂⁴	1	8	yes	—
427	C₂×C₄×D₄₃	—	2	4	no	—
428	C₂×C₄×D₄₃	—	2	4	no	—
429	C₂×C₄×D₄₃	—	2	4	no	—
430	C₂×C₄×D₄₃	—	2	4	no	—
431	C₂×C₄×D₄₃	—	2	8	no	—
432	C₂×C₄×D₄₃	—	2	32	no	—
433	C₂×C₄×D₄₃	—	2	8	no	—
434	C₂×C₄×D₄₃	—	2	8	no	—
435	C₂×C₄×D₄₃	—	4	4	no	—
436	C₂×C₄×D₄₃	—	4	4	no	—
437	C₂×C₄×D₄₃	C₂⁴	1	4	yes	—
438	C₂×C₄×D₄₃	C₂⁴	1	8	yes	—
439	C₂×C₄×D₄₃	C₂⁴	1	8	yes	—
440	C₂×C₄×D₄₃	C₂⁴	1	8	yes	—
441	C₂×C₄×D₄₃	C₂⁴	1	4	yes	—
442	C₂×C₄×D₄₃	C₂⁴	1	4	yes	—
443	C₂×C₄×D₄₃	C₂⁴	1	4	yes	—
444	C₂×C₄×D₄₃	C₂⁴	1	8	yes	—
445	C₂×C₄×D₄₃	C₂⁴	1	8	yes	—
446	C₂×Dic₈₆	—	2	4	no	—
447	C₂×Dic₈₆	—	2	8	no	—
448	C₂×Dic₈₆	—	4	4	no	—
449	C₂×Dic₈₆	C₂⁴	1	4	yes	—
450	C₂×Dic₈₆	C₂⁴	1	8	yes	—
451	C₂×Dic₈₆	C₂⁴	1	8	yes	—
452	C₄⋊C₄×C₄₃	C₂⁴	1	4	yes	—
453	C₄⋊C₄×C₄₃	C₂⁴	1	4	yes	—
454	C₄⋊C₄×C₄₃	C₂⁴	1	4	yes	—
455	C₄⋊C₄×C₄₃	C₂⁴	1	4	yes	—
456	C₄⋊C₄×C₄₃	C₂⁴	1	8	yes	—
457	C₄⋊C₄×C₄₃	C₂⁴	1	8	yes	—
458	C₂²⋊C₄×C₄₃	C₂⁴	1	8	yes	—
459	C₂²⋊C₄×C₄₃	C₂⁴	1	8	yes	—
460	C₂²⋊C₄×C₄₃	C₂⁴	1	8	yes	—
461	C₂²⋊C₄×C₄₃	C₂⁴	1	8	yes	—
462	C₄²×C₄₃	C₂⁴	1	8	yes	—
463	C₄²×C₄₃	C₂⁴	1	8	yes	—
464	C₄²×C₄₃	C₂⁴	1	8	yes	—
465	C₄²×C₄₃	C₂⁴	1	8	yes	—
466	C₂²⋊Dic₄₃	C₂⁴	1	8	yes	—
467	C₂²⋊Dic₄₃	C₂⁴	1	4	yes	—
468	C₂²⋊Dic₄₃	C₂⁴	1	4	yes	—
469	C₂²⋊Dic₄₃	C₂⁴	1	4	yes	—
470	C₂²⋊Dic₄₃	C₂⁴	1	4	yes	—
471	C₂²⋊Dic₄₃	C₂⁴	1	8	yes	—
472	C₂²⋊Dic₄₃	C₂⁴	1	8	yes	—
473	(C₂×D₄₃)⋊C₄	C₂⁴	1	8	yes	—
474	(C₂×D₄₃)⋊C₄	C₂⁴	1	8	yes	—
475	(C₂×D₄₃)⋊C₄	C₂⁴	1	4	yes	—
476	(C₂×D₄₃)⋊C₄	C₂⁴	1	4	yes	—
477	(C₂×D₄₃)⋊C₄	C₂⁴	1	4	yes	—
478	(C₂×D₄₃)⋊C₄	C₂⁴	1	4	yes	—
479	(C₂×D₄₃)⋊C₄	C₂⁴	1	8	yes	—
480	(C₂×D₄₃)⋊C₄	C₂⁴	1	8	yes	—
481	(C₂×D₄₃)⋊C₄	C₂⁴	1	8	yes	—
482	(C₂×D₄₃)⋊C₄	C₂⁴	1	8	yes	—
483	(C₂×D₄₃)⋊C₄	C₂⁴	1	8	yes	—
484	(C₂×D₄₃)⋊C₄	C₂⁴	1	8	yes	—
485	(C₂×D₄₃)⋊C₄	C₂⁴	1	8	yes	—
486	(C₂×D₄₃)⋊C₄	C₂⁴	1	8	yes	—
487	C₄⋊Dic₄₃	C₂⁴	1	4	yes	—
488	C₄⋊Dic₄₃	C₂⁴	1	4	yes	—
489	C₄⋊Dic₄₃	C₂⁴	1	8	yes	—
490	C₄⋊Dic₄₃	C₂⁴	1	8	yes	—
491	C₄⋊Dic₄₃	C₂⁴	1	8	yes	—
492	C₄⋊Dic₄₃	C₂⁴	1	8	yes	—
493	Dic₄₃⋊C₄	C₂⁴	1	8	yes	—
494	Dic₄₃⋊C₄	C₂⁴	1	8	yes	—
495	Dic₄₃⋊C₄	C₂⁴	1	4	yes	—
496	Dic₄₃⋊C₄	C₂⁴	1	4	yes	—
497	Dic₄₃⋊C₄	C₂⁴	1	4	yes	—
498	Dic₄₃⋊C₄	C₂⁴	1	4	yes	—
499	Dic₄₃⋊C₄	C₂⁴	1	8	yes	—
500	Dic₄₃⋊C₄	C₂⁴	1	8	yes	—
501	Dic₄₃⋊C₄	C₂⁴	1	8	yes	—
502	Dic₄₃⋊C₄	C₂⁴	1	8	yes	—
503	Dic₄₃⋊C₄	C₂⁴	1	8	yes	—
504	Dic₄₃⋊C₄	C₂⁴	1	8	yes	—
505	Dic₄₃⋊C₄	C₂⁴	1	8	yes	—
506	Dic₄₃⋊C₄	C₂⁴	1	8	yes	—
507	C₄×Dic₄₃	C₂⁴	1	4	yes	—
508	C₄×Dic₄₃	C₂⁴	1	8	yes	—
509	C₄×Dic₄₃	C₂⁴	1	8	yes	—
510	C₄×Dic₄₃	C₂⁴	1	8	yes	—
511	C₄×Dic₄₃	C₂⁴	1	8	yes	—
512	C₄×Dic₄₃	C₂⁴	1	8	yes	—
513	C₄×Dic₄₃	C₂⁴	1	4	yes	—
514	C₄×Dic₄₃	C₂⁴	1	4	yes	—
515	C₄×Dic₄₃	C₂⁴	1	4	yes	—
516	C₂³×C₄₃	—	2	2	no	—
517	C₂³×C₄₃	—	2	2	no	—
518	C₂³×C₄₃	—	2	2	no	—
519	C₂³×C₄₃	—	2	2	no	—
520	C₂³×C₄₃	—	2	8	no	—
521	C₂³×C₄₃	—	2	2	no	—
522	C₂³×C₄₃	—	2	8	no	—
523	C₂³×C₄₃	—	2	2	no	—
524	C₂³×C₄₃	—	2	2	no	—
525	C₂³×C₄₃	—	4	4	no	—
526	C₂³×C₄₃	—	4	16	no	—
527	C₂³×C₄₃	C₂×#41	1	4	yes	—
528	C₂³×C₄₃	C₂×#41	1	4	yes	—
529	C₂³×C₄₃	C₂⁵	1	2	yes	—
530	C₂³×C₄₃	C₂⁵	1	2	yes	—
531	C₂³×C₄₃	C₂⁵	1	2	yes	—
532	C₂³×C₄₃	C₂⁵	1	1	yes	characteristic
533	C₂²×D₄₃	—	2	2	no	—
534	C₂²×D₄₃	—	2	2	no	—
535	C₂²×D₄₃	—	2	8	no	—
536	C₂²×D₄₃	—	2	2	no	—
537	C₂²×D₄₃	—	2	4	no	—
538	C₂²×D₄₃	—	2	4	no	—
539	C₂²×D₄₃	—	2	2	no	—
540	C₂²×D₄₃	—	2	4	no	—
541	C₂²×D₄₃	—	2	2	no	—
542	C₂²×D₄₃	—	2	8	no	—
543	C₂²×D₄₃	—	4	4	no	—
544	C₂²×D₄₃	—	4	16	no	—
545	C₂²×D₄₃	C₂×#41	1	4	yes	—
546	C₂²×D₄₃	C₂⁵	1	2	yes	—
547	C₂²×D₄₃	C₂⁵	1	4	yes	—
548	C₂²×D₄₃	C₂⁵	1	2	yes	—
549	C₂×C₄×C₄₃	—	2	4	no	—
550	C₂×C₄×C₄₃	—	2	4	no	—
551	C₂×C₄×C₄₃	—	2	16	no	—
552	C₂×C₄×C₄₃	—	2	8	no	—
553	C₂×C₄×C₄₃	—	2	2	no	—
554	C₂×C₄×C₄₃	—	2	2	no	—
555	C₂×C₄×C₄₃	—	2	4	no	—
556	C₂×C₄×C₄₃	—	2	4	no	—
557	C₂×C₄×C₄₃	—	2	8	no	—
558	C₂×C₄×C₄₃	—	2	8	no	—
559	C₂×C₄×C₄₃	—	2	8	no	—
560	C₂×C₄×C₄₃	—	2	8	no	—
561	C₂×C₄×C₄₃	—	4	8	no	—
562	C₂×C₄×C₄₃	C₂×#41	1	4	yes	—
563	C₂×C₄×C₄₃	C₂×#41	1	4	yes	—
564	C₂×C₄×C₄₃	C₂×#41	1	16	yes	complemented
565	C₂×C₄×C₄₃	C₂⁵	1	4	yes	—
566	C₂×C₄×C₄₃	C₂⁵	1	4	yes	—
567	C₂×C₄×C₄₃	C₂⁵	1	2	yes	—
568	C₂×C₄×C₄₃	C₂⁵	1	2	yes	—
569	C₂×C₄×C₄₃	C₂⁵	1	4	yes	—
570	C₂×C₄×C₄₃	C₂⁵	1	4	yes	—
571	C₂×C₄×C₄₃	C₂⁵	1	2	yes	—
572	C₂×C₄×C₄₃	C₂⁵	1	2	yes	—
573	C₂²⋊D₄₃	—	2	16	no	—
574	C₂²⋊D₄₃	—	2	16	no	—
575	C₂²⋊D₄₃	—	2	8	no	—
576	C₂²⋊D₄₃	—	2	8	no	—
577	C₂²⋊D₄₃	—	2	8	no	—
578	C₂²⋊D₄₃	—	4	8	no	—
579	C₂²⋊D₄₃	C₂×#41	1	16	yes	complemented
580	C₂×Dic₄₃	—	2	4	no	—
581	C₂×Dic₄₃	—	2	4	no	—
582	C₂×Dic₄₃	—	2	8	no	—
583	C₂×Dic₄₃	—	2	2	no	—
584	C₂×Dic₄₃	—	2	2	no	—
585	C₂×Dic₄₃	—	2	2	no	—
586	C₂×Dic₄₃	—	2	2	no	—
587	C₂×Dic₄₃	—	2	4	no	—
588	C₂×Dic₄₃	—	2	2	no	—
589	C₂×Dic₄₃	—	2	8	no	—
590	C₂×Dic₄₃	—	4	4	no	—
591	C₂×Dic₄₃	C₂×#41	1	4	yes	—
592	C₂×Dic₄₃	C₂⁵	1	2	yes	—
593	C₂×Dic₄₃	C₂⁵	1	2	yes	—
594	C₂×Dic₄₃	C₂⁵	1	2	yes	—
595	C₂×Dic₄₃	C₂⁵	1	4	yes	—
596	C₂×Dic₄₃	C₂⁵	1	4	yes	—
597	C₂×Dic₄₃	C₂⁵	1	4	yes	—
598	C₂×Dic₄₃	C₂⁵	1	2	yes	—
599	C₂×Dic₄₃	C₂⁵	1	2	yes	—
600	C₂×Dic₄₃	C₂⁵	1	2	yes	—
601	D₁₇₂	—	2	16	no	—
602	D₁₇₂	—	2	8	no	—
603	D₁₇₂	—	4	8	no	—
604	C₄×D₄₃	—	2	16	no	—
605	C₄×D₄₃	—	2	8	no	—
606	C₄×D₄₃	—	2	8	no	—
607	C₄×D₄₃	—	2	8	no	—
608	C₄×D₄₃	—	2	8	no	—
609	C₄×D₄₃	—	2	16	no	—
610	C₄×D₄₃	—	2	16	no	—
611	C₄×D₄₃	—	4	8	no	—
612	C₄×D₄₃	—	4	8	no	—
613	Dic₈₆	—	2	8	no	—
614	Dic₈₆	—	2	16	no	—
615	Dic₈₆	—	4	8	no	—
616	C₂×#3475	—	43	1	no	maximal, Sylow
617	C₂²×C₄₃	—	2	2	no	—
618	C₂²×C₄₃	—	2	2	no	—
619	C₂²×C₄₃	—	2	2	no	—
620	C₂²×C₄₃	—	2	2	no	—
621	C₂²×C₄₃	—	2	8	no	—
622	C₂²×C₄₃	—	2	8	no	—
623	C₂²×C₄₃	—	2	2	no	—
624	C₂²×C₄₃	—	2	2	no	—
625	C₂²×C₄₃	—	2	2	no	—
626	C₂²×C₄₃	—	4	16	no	—
627	C₂²×C₄₃	—	4	4	no	—
628	C₂²×C₄₃	C₂²×#41	1	4	yes	—
629	C₂²×C₄₃	C₂²×#41	1	2	yes	—
630	C₂²×C₄₃	C₂²×#41	1	4	yes	—
631	C₂²×C₄₃	C₂²×#41	1	2	yes	—
632	C₂²×C₄₃	#585	1	2	yes	—
633	C₂²×C₄₃	C₂⁶	1	1	yes	characteristic
634	C₂×D₄₃	—	2	2	no	—
635	C₂×D₄₃	—	2	2	no	—
636	C₂×D₄₃	—	2	8	no	—
637	C₂×D₄₃	—	2	2	no	—
638	C₂×D₄₃	—	2	2	no	—
639	C₂×D₄₃	—	2	4	no	—
640	C₂×D₄₃	—	2	4	no	—
641	C₂×D₄₃	—	2	2	no	—
642	C₂×D₄₃	—	2	4	no	—
643	C₂×D₄₃	—	4	16	no	—
644	C₂×D₄₃	—	4	8	no	—
645	C₂×D₄₃	—	4	4	no	—
646	C₂×D₄₃	C₂²×#41	1	4	yes	—
647	C₄×C₄₃	—	2	4	no	—
648	C₄×C₄₃	—	2	4	no	—
649	C₄×C₄₃	—	2	2	no	—
650	C₄×C₄₃	—	2	2	no	—
651	C₄×C₄₃	—	2	4	no	—
652	C₄×C₄₃	—	2	4	no	—
653	C₄×C₄₃	C₂²×#41	1	4	yes	—
654	C₄×C₄₃	C₂²×#41	1	4	yes	—
655	Dic₄₃	—	2	4	no	—
656	Dic₄₃	—	2	4	no	—
657	Dic₄₃	—	2	2	no	—
658	Dic₄₃	—	2	2	no	—
659	Dic₄₃	—	2	2	no	—
660	Dic₄₃	—	2	2	no	—
661	Dic₄₃	—	2	4	no	—
662	Dic₄₃	—	2	2	no	—
663	Dic₄₃	C₂²×#41	1	4	yes	—
664	#3475	—	43	32	no	—
665	C₂×#556	—	43	1	no	—
666	C₂×#555	—	43	1	no	—
667	C₂×#554	—	43	1	no	—
668	C₂×#553	—	43	1	no	—
669	C₂×#553	—	43	1	no	—
670	C₂×#552	—	43	2	no	—
671	C₂×#552	—	43	1	no	—
672	C₂×#552	—	43	1	no	—
673	C₂×#551	—	43	2	no	—
674	C₂×#551	—	43	2	no	—
675	C₂×#547	—	43	1	no	—
676	C₂×#546	—	43	2	no	—
677	C₂×#533	—	43	1	no	—
678	C₂×#529	—	43	2	no	—
679	C₂×#529	—	43	2	no	—
680	C₂×#529	—	43	2	no	—
681	C₂×#525	—	43	1	no	—
682	C₂×#525	—	43	1	no	—
683	C₂×C₄×#41	—	43	2	no	—
684	C₂×C₄×#41	—	43	1	no	—
685	C₂²×C₄×D₄	—	43	1	no	—
686	C₂²×#117	—	43	1	no	—
687	C₂²×#117	D₄₃	1	1	yes	characteristic, complemented
688	C₂×C₄₃	—	2	4	no	—
689	C₂×C₄₃	—	2	4	no	—
690	C₂×C₄₃	—	4	2	no	—
691	C₂×C₄₃	#3475	1	4	yes	complemented
692	C₂×C₄₃	C₂³×#41	1	1	yes	characteristic
693	C₂×C₄₃	C₂³×#41	1	1	yes	characteristic
694	C₂×C₄₃	C₂×#585	1	1	yes	characteristic
695	D₄₃	—	2	4	no	—
696	D₄₃	—	4	4	no	—
697	D₄₃	—	4	2	no	—
698	C₂²×#41	—	43	1	no	—
699	C₂²×#41	—	43	2	no	—
700	C₂³×D₄	—	43	1	no	—
701	C₂⁴×C₄	—	43	1	no	—
702	C₂⁴×C₄	C₂×D₄₃	1	1	yes	characteristic
703	#556	—	43	16	no	—
704	#555	—	43	16	no	—
705	#554	—	43	16	no	—
706	#553	—	43	16	no	—
707	#553	—	43	16	no	—
708	#552	—	43	32	no	—
709	#552	—	43	16	no	—
710	#552	—	43	16	no	—
711	#551	—	43	32	no	—
712	#551	—	43	32	no	—
713	#547	—	43	16	no	—
714	#546	—	43	32	no	—
715	#533	—	43	16	no	—
716	C₂×C₄⋊Q₈	—	43	1	no	—
717	C₂×C₄⋊Q₈	—	43	1	no	—
718	#529	—	43	32	no	—
719	#529	—	43	32	no	—
720	#529	—	43	32	no	—
721	C₂×#126	—	43	2	no	—
722	C₂×#126	—	43	2	no	—
723	C₂×#126	—	43	2	no	—
724	C₂×#126	—	43	2	no	—
725	C₂×#126	—	43	2	no	—
726	C₂×#126	—	43	2	no	—
727	C₂×#125	—	43	2	no	—
728	C₂×#125	—	43	2	no	—
729	C₂×#125	—	43	1	no	—
730	C₂×#125	—	43	1	no	—
731	C₂×#125	—	43	2	no	—
732	C₂×#124	—	43	2	no	—
733	C₂×#124	—	43	2	no	—
734	C₂×#124	—	43	2	no	—
735	#525	—	43	16	no	—
736	#525	—	43	16	no	—
737	C₂×#123	—	43	2	no	—
738	C₂×#123	—	43	2	no	—
739	C₂×#123	—	43	2	no	—
740	C₂×#123	—	43	2	no	—
741	C₂×#123	—	43	2	no	—
742	C₂×#123	—	43	2	no	—
743	C₂×#123	—	43	2	no	—
744	C₂×#123	—	43	2	no	—
745	C₂×C₂²⋊Q₈	—	43	1	no	—
746	C₂×C₂²⋊Q₈	—	43	1	no	—
747	C₂×C₂²⋊Q₈	—	43	2	no	—
748	C₂×C₂²⋊Q₈	—	43	2	no	—
749	C₂×C₂²⋊Q₈	—	43	2	no	—
750	C₂×C₂²⋊Q₈	—	43	1	no	—
751	C₂×C₂²⋊Q₈	—	43	1	no	—
752	C₂×C₂²⋊Q₈	—	43	2	no	—
753	C₂×C₂²⋊Q₈	—	43	2	no	—
754	C₂×#121	—	43	2	no	—
755	C₂×#121	—	43	1	no	—
756	C₂×#121	—	43	1	no	—
757	C₂×#121	—	43	1	no	—
758	C₂×#121	—	43	1	no	—
759	C₂×#121	—	43	2	no	—
760	C₂×#121	—	43	2	no	—
761	C₂×#120	—	43	2	no	—
762	C₂×#120	—	43	2	no	—
763	C₄×#41	—	43	16	no	—
764	C₄×#41	—	43	32	no	—
765	C₂×C₄×Q₈	—	43	1	no	—
766	C₂×C₄×Q₈	—	43	1	no	—
767	C₂×C₄×Q₈	—	43	2	no	—
768	C₂×C₄×Q₈	—	43	2	no	—
769	C₂×C₄×Q₈	—	43	2	no	—
770	C₂×C₄×D₄	—	43	1	no	—
771	C₂×C₄×D₄	—	43	1	no	—
772	C₂×C₄×D₄	—	43	1	no	—
773	C₂×C₄×D₄	—	43	1	no	—
774	C₂×C₄×D₄	—	43	1	no	—
775	C₂×C₄×D₄	—	43	1	no	—
776	C₂×C₄×D₄	—	43	1	no	—
777	C₂×C₄×D₄	—	43	1	no	—
778	C₂×C₄×D₄	—	43	2	no	—
779	C₂×C₄×D₄	—	43	16	no	—
780	C₂×C₄×D₄	—	43	2	no	—
781	C₂×C₄×D₄	—	43	2	no	—
782	C₂×C₄×D₄	—	43	2	no	—
783	C₂×C₄×D₄	—	43	1	no	—
784	C₂×C₄×D₄	—	43	1	no	—
785	C₂×C₄×D₄	—	43	2	no	—
786	C₂×C₄×D₄	—	43	2	no	—
787	C₂×C₄×D₄	—	43	2	no	—
788	C₂×C₄×D₄	—	43	2	no	—
789	C₂×C₄×D₄	—	43	2	no	—
790	C₂×#117	—	43	1	no	—
791	C₂×#117	—	43	2	no	—
792	C₂×#117	—	43	16	no	—
793	C₂×#117	—	43	1	no	—
794	C₂×#117	—	43	1	no	—
795	C₂×#117	—	43	2	no	—
796	C₂×#117	—	43	2	no	—
797	C₂×#117	—	43	2	no	—
798	C₂×#117	—	43	2	no	—
799	C₂×#117	—	43	2	no	—
800	C₂×#117	C₂×D₄₃	1	1	yes	characteristic
801	C₂×#117	C₂×D₄₃	1	1	yes	characteristic
802	C₂×#117	C₂×D₄₃	1	2	yes	—
803	C₂×#117	C₂×D₄₃	1	2	yes	complemented
804	C₂×#117	C₂×D₄₃	1	1	yes	characteristic, complemented
805	C₂×#117	C₂×D₄₃	1	1	yes	characteristic, complemented
806	C₂×#117	C₂×D₄₃	1	16	yes	complemented
807	C₂²×C₄⋊C₄	—	43	1	no	—
808	C₂²×C₄⋊C₄	—	43	1	no	—
809	C₂²×C₄⋊C₄	—	43	1	no	—
810	C₂²×C₄⋊C₄	C₂×D₄₃	1	1	yes	characteristic, complemented
811	C₂²×C₄⋊C₄	C₂×D₄₃	1	1	yes	characteristic, complemented
812	C₂²×C₂²⋊C₄	—	43	1	no	—
813	C₂²×C₂²⋊C₄	—	43	1	no	—
814	C₂²×C₂²⋊C₄	—	43	2	no	—
815	C₂²×C₂²⋊C₄	C₂×D₄₃	1	2	yes	—
816	C₂²×C₄²	—	43	1	no	—
817	C₂²×C₄²	—	43	2	no	—
818	C₂²×C₄²	—	43	2	no	—
819	C₂²×C₄²	C₂×D₄₃	1	2	yes	complemented
820	C₄₃	C₂×#3475	1	1	yes	characteristic, complemented, Sylow
821	C₂⁵	—	43	1	no	—
822	C₂⁵	C₂²×D₄₃	1	1	yes	characteristic
823	C₂×#41	—	43	8	no	—
824	C₂×#41	—	43	16	no	—
825	C₂×#41	—	86	16	no	—
826	C₂×#41	—	86	8	no	—
827	C₂²×Q₈	—	43	1	no	—
828	C₂²×Q₈	—	43	2	no	—
829	C₂²×Q₈	—	43	2	no	—
830	C₂²×D₄	—	43	1	no	—
831	C₂²×D₄	—	43	2	no	—
832	C₂²×D₄	—	43	2	no	—
833	C₂²×D₄	—	43	1	no	—
834	C₂²×D₄	—	43	1	no	—
835	C₂²×D₄	—	43	1	no	—
836	C₂²×D₄	—	43	8	no	—
837	C₂²×D₄	—	43	2	no	—
838	C₂²×D₄	—	43	2	no	—
839	C₂²×D₄	—	43	1	no	—
840	C₂²×D₄	—	43	2	no	—
841	C₂²×D₄	—	86	8	no	—
842	C₂³×C₄	—	2	8	no	—
843	C₂³×C₄	—	43	1	no	—
844	C₂³×C₄	—	43	1	no	—
845	C₂³×C₄	—	43	1	no	—
846	C₂³×C₄	—	43	2	no	—
847	C₂³×C₄	—	43	1	no	—
848	C₂³×C₄	—	43	1	no	—
849	C₂³×C₄	—	43	8	no	—
850	C₂³×C₄	—	43	2	no	—
851	C₂³×C₄	—	43	1	no	—
852	C₂³×C₄	—	43	2	no	—
853	C₂³×C₄	—	43	1	no	—
854	C₂³×C₄	—	43	2	no	—
855	C₂³×C₄	—	43	2	no	—
856	C₂³×C₄	—	86	8	no	—
857	C₂³×C₄	C₂²×D₄₃	1	1	yes	characteristic
858	C₂³×C₄	C₂²×D₄₃	1	2	yes	—
859	C₂³×C₄	C₂²×D₄₃	1	1	yes	characteristic
860	C₂³×C₄	C₂²×D₄₃	1	1	yes	characteristic
861	C₂³×C₄	C₂²×D₄₃	1	8	yes	—
862	C₂³×C₄	C₂²×D₄₃	1	1	yes	characteristic
863	C₂³×C₄	C₂²×D₄₃	1	1	yes	characteristic
864	C₂³×C₄	C₂²×D₄₃	1	2	yes	—
865	C₂³×C₄	C₂²×D₄₃	1	1	yes	characteristic
866	C₄⋊Q₈	—	43	8	no	—
867	C₄⋊Q₈	—	43	8	no	—
868	#126	—	43	16	no	—
869	#126	—	43	16	no	—
870	#126	—	43	16	no	—
871	#126	—	43	16	no	—
872	#126	—	43	16	no	—
873	#126	—	43	16	no	—
874	#125	—	43	16	no	—
875	#125	—	43	16	no	—
876	#125	—	43	8	no	—
877	#125	—	43	8	no	—
878	#125	—	43	16	no	—
879	#124	—	43	16	no	—
880	#124	—	43	16	no	—
881	#124	—	43	16	no	—
882	#123	—	43	16	no	—
883	#123	—	43	16	no	—
884	#123	—	43	16	no	—
885	#123	—	43	16	no	—
886	#123	—	43	16	no	—
887	#123	—	43	16	no	—
888	#123	—	43	16	no	—
889	#123	—	43	16	no	—
890	C₂²⋊Q₈	—	43	8	no	—
891	C₂²⋊Q₈	—	43	8	no	—
892	C₂²⋊Q₈	—	43	16	no	—
893	C₂²⋊Q₈	—	43	8	no	—
894	C₂²⋊Q₈	—	43	8	no	—
895	C₂²⋊Q₈	—	43	16	no	—
896	C₂²⋊Q₈	—	43	16	no	—
897	C₂²⋊Q₈	—	43	16	no	—
898	C₂²⋊Q₈	—	43	16	no	—
899	#121	—	43	8	no	—
900	#121	—	43	8	no	—
901	#121	—	43	16	no	—
902	#121	—	43	8	no	—
903	#121	—	43	8	no	—
904	#121	—	43	16	no	—
905	#121	—	43	16	no	—
906	#120	—	43	16	no	—
907	#120	—	43	16	no	—
908	C₄×Q₈	—	43	8	no	—
909	C₄×Q₈	—	43	8	no	—
910	C₄×Q₈	—	43	16	no	—
911	C₄×Q₈	—	43	16	no	—
912	C₄×Q₈	—	43	16	no	—
913	C₄×D₄	—	43	8	no	—
914	C₄×D₄	—	43	8	no	—
915	C₄×D₄	—	43	8	no	—
916	C₄×D₄	—	43	8	no	—
917	C₄×D₄	—	43	8	no	—
918	C₄×D₄	—	43	8	no	—
919	C₄×D₄	—	43	8	no	—
920	C₄×D₄	—	43	8	no	—
921	C₄×D₄	—	43	16	no	—
922	C₄×D₄	—	43	16	no	—
923	C₄×D₄	—	43	16	no	—
924	C₄×D₄	—	43	16	no	—
925	C₄×D₄	—	43	8	no	—
926	C₄×D₄	—	43	8	no	—
927	C₄×D₄	—	43	16	no	—
928	C₄×D₄	—	43	16	no	—
929	C₄×D₄	—	43	16	no	—
930	C₄×D₄	—	43	16	no	—
931	C₄×D₄	—	43	16	no	—
932	#117	—	43	8	no	—
933	#117	—	43	16	no	—
934	#117	—	43	8	no	—
935	#117	—	43	8	no	—
936	#117	—	43	16	no	—
937	#117	—	43	16	no	—
938	#117	—	43	16	no	—
939	#117	—	43	16	no	—
940	#117	—	43	16	no	—
941	#117	C₂²×D₄₃	1	8	yes	—
942	#117	C₂²×D₄₃	1	8	yes	—
943	#117	C₂²×D₄₃	1	16	yes	—
944	#117	C₂²×D₄₃	1	16	yes	complemented
945	#117	C₂²×D₄₃	1	8	yes	complemented
946	#117	C₂²×D₄₃	1	8	yes	complemented
947	C₂×C₄⋊C₄	—	43	1	no	—
948	C₂×C₄⋊C₄	—	43	1	no	—
949	C₂×C₄⋊C₄	—	43	1	no	—
950	C₂×C₄⋊C₄	—	43	2	no	—
951	C₂×C₄⋊C₄	—	43	2	no	—
952	C₂×C₄⋊C₄	—	43	1	no	—
953	C₂×C₄⋊C₄	—	43	1	no	—
954	C₂×C₄⋊C₄	—	43	1	no	—
955	C₂×C₄⋊C₄	—	43	8	no	—
956	C₂×C₄⋊C₄	—	43	2	no	—
957	C₂×C₄⋊C₄	—	43	2	no	—
958	C₂×C₄⋊C₄	—	43	2	no	—
959	C₂×C₄⋊C₄	—	43	2	no	—
960	C₂×C₄⋊C₄	—	43	2	no	—
961	C₂×C₄⋊C₄	—	43	2	no	—
962	C₂×C₄⋊C₄	—	43	2	no	—
963	C₂×C₄⋊C₄	—	43	2	no	—
964	C₂×C₄⋊C₄	—	43	2	no	—
965	C₂×C₄⋊C₄	—	43	2	no	—
966	C₂×C₄⋊C₄	—	43	2	no	—
967	C₂×C₄⋊C₄	—	43	2	no	—
968	C₂×C₄⋊C₄	—	43	8	no	—
969	C₂×C₄⋊C₄	—	43	8	no	—
970	C₂×C₄⋊C₄	C₂²×D₄₃	1	1	yes	characteristic
971	C₂×C₄⋊C₄	C₂²×D₄₃	1	1	yes	characteristic
972	C₂×C₄⋊C₄	C₂²×D₄₃	1	1	yes	characteristic
973	C₂×C₄⋊C₄	C₂²×D₄₃	1	1	yes	characteristic
974	C₂×C₄⋊C₄	C₂²×D₄₃	1	2	yes	—
975	C₂×C₄⋊C₄	C₂²×D₄₃	1	2	yes	—
976	C₂×C₄⋊C₄	C₂²×D₄₃	1	8	yes	complemented
977	C₂×C₄⋊C₄	C₂²×D₄₃	1	8	yes	complemented
978	C₂×C₂²⋊C₄	—	43	1	no	—
979	C₂×C₂²⋊C₄	—	43	2	no	—
980	C₂×C₂²⋊C₄	—	43	1	no	—
981	C₂×C₂²⋊C₄	—	43	1	no	—
982	C₂×C₂²⋊C₄	—	43	1	no	—
983	C₂×C₂²⋊C₄	—	43	8	no	—
984	C₂×C₂²⋊C₄	—	43	2	no	—
985	C₂×C₂²⋊C₄	—	43	2	no	—
986	C₂×C₂²⋊C₄	—	43	1	no	—
987	C₂×C₂²⋊C₄	—	43	2	no	—
988	C₂×C₂²⋊C₄	—	43	2	no	—
989	C₂×C₂²⋊C₄	—	43	1	no	—
990	C₂×C₂²⋊C₄	—	43	1	no	—
991	C₂×C₂²⋊C₄	—	43	1	no	—
992	C₂×C₂²⋊C₄	—	43	8	no	—
993	C₂×C₂²⋊C₄	—	43	2	no	—
994	C₂×C₂²⋊C₄	—	43	2	no	—
995	C₂×C₂²⋊C₄	—	43	2	no	—
996	C₂×C₂²⋊C₄	—	43	2	no	—
997	C₂×C₂²⋊C₄	—	43	2	no	—
998	C₂×C₂²⋊C₄	—	43	2	no	—
999	C₂×C₂²⋊C₄	—	43	2	no	—
1000	C₂×C₂²⋊C₄	—	43	2	no	—
1001	C₂×C₂²⋊C₄	—	43	16	no	—
1002	C₂×C₂²⋊C₄	C₂²×D₄₃	1	2	yes	—
1003	C₂×C₂²⋊C₄	C₂²×D₄₃	1	2	yes	—
1004	C₂×C₂²⋊C₄	C₂²×D₄₃	1	2	yes	—
1005	C₂×C₂²⋊C₄	C₂²×D₄₃	1	2	yes	—
1006	C₂×C₂²⋊C₄	C₂²×D₄₃	1	16	yes	—
1007	C₂×C₄²	—	43	2	no	—
1008	C₂×C₄²	—	43	2	no	—
1009	C₂×C₄²	—	43	2	no	—
1010	C₂×C₄²	—	43	1	no	—
1011	C₂×C₄²	—	43	1	no	—
1012	C₂×C₄²	—	43	2	no	—
1013	C₂×C₄²	—	43	8	no	—
1014	C₂×C₄²	—	43	1	no	—
1015	C₂×C₄²	—	43	2	no	—
1016	C₂×C₄²	—	43	1	no	—
1017	C₂×C₄²	—	43	16	no	—
1018	C₂×C₄²	—	43	16	no	—
1019	C₂×C₄²	C₂²×D₄₃	1	2	yes	—
1020	C₂×C₄²	C₂²×D₄₃	1	2	yes	—
1021	C₂×C₄²	C₂²×D₄₃	1	2	yes	—
1022	C₂×C₄²	C₂²×D₄₃	1	2	yes	—
1023	C₂×C₄²	C₂²×D₄₃	1	16	yes	complemented
1024	C₂⁴	—	2	4	no	—
1025	C₂⁴	—	2	4	no	—
1026	C₂⁴	—	4	2	no	—
1027	C₂⁴	—	43	1	no	—
1028	C₂⁴	—	43	1	no	—
1029	C₂⁴	—	43	2	no	—
1030	C₂⁴	—	43	4	no	—
1031	C₂⁴	—	86	4	no	—
1032	C₂⁴	—	86	4	no	—
1033	C₂⁴	—	172	2	no	—
1034	C₂⁴	C₂³×D₄₃	1	1	yes	characteristic
1035	C₂⁴	C₂³×D₄₃	1	4	yes	—
1036	C₂⁴	C₂³×D₄₃	1	1	yes	characteristic
1037	C₂⁴	C₂³×D₄₃	1	1	yes	characteristic
1038	#41	—	86	64	no	—
1039	#41	—	86	32	no	—
1040	C₂×Q₈	—	43	4	no	—
1041	C₂×Q₈	—	43	8	no	—
1042	C₂×Q₈	—	43	8	no	—
1043	C₂×Q₈	—	86	8	no	—
1044	C₂×Q₈	—	86	4	no	—
1045	C₂×Q₈	—	172	4	no	—
1046	C₂×D₄	—	43	8	no	—
1047	C₂×D₄	—	43	4	no	—
1048	C₂×D₄	—	43	8	no	—
1049	C₂×D₄	—	43	8	no	—
1050	C₂×D₄	—	43	4	no	—
1051	C₂×D₄	—	43	4	no	—
1052	C₂×D₄	—	43	4	no	—
1053	C₂×D₄	—	43	8	no	—
1054	C₂×D₄	—	43	8	no	—
1055	C₂×D₄	—	43	4	no	—
1056	C₂×D₄	—	43	8	no	—
1057	C₂×D₄	—	86	8	no	—
1058	C₂×D₄	—	86	4	no	—
1059	C₂×D₄	—	86	32	no	—
1060	C₂×D₄	—	86	4	no	—
1061	C₂×D₄	—	86	4	no	—
1062	C₂×D₄	—	86	8	no	—
1063	C₂×D₄	—	86	8	no	—
1064	C₂×D₄	—	86	4	no	—
1065	C₂×D₄	—	172	4	no	—
1066	C₂×D₄	—	172	4	no	—
1067	C₂²×C₄	—	2	8	no	—
1068	C₂²×C₄	—	2	4	no	—
1069	C₂²×C₄	—	2	4	no	—
1070	C₂²×C₄	—	2	4	no	—
1071	C₂²×C₄	—	2	4	no	—
1072	C₂²×C₄	—	2	4	no	—
1073	C₂²×C₄	—	2	32	no	—
1074	C₂²×C₄	—	4	4	no	—
1075	C₂²×C₄	—	43	1	no	—
1076	C₂²×C₄	—	43	1	no	—
1077	C₂²×C₄	—	43	1	no	—
1078	C₂²×C₄	—	43	1	no	—
1079	C₂²×C₄	—	43	2	no	—
1080	C₂²×C₄	—	43	2	no	—
1081	C₂²×C₄	—	43	2	no	—
1082	C₂²×C₄	—	43	1	no	—
1083	C₂²×C₄	—	43	4	no	—
1084	C₂²×C₄	—	43	1	no	—
1085	C₂²×C₄	—	43	4	no	—
1086	C₂²×C₄	—	43	4	no	—
1087	C₂²×C₄	—	43	4	no	—
1088	C₂²×C₄	—	43	8	no	—
1089	C₂²×C₄	—	43	8	no	—
1090	C₂²×C₄	—	43	8	no	—
1091	C₂²×C₄	—	43	4	no	—
1092	C₂²×C₄	—	43	4	no	—
1093	C₂²×C₄	—	43	4	no	—
1094	C₂²×C₄	—	43	8	no	—
1095	C₂²×C₄	—	43	8	no	—
1096	C₂²×C₄	—	86	8	no	—
1097	C₂²×C₄	—	86	8	no	—
1098	C₂²×C₄	—	86	4	no	—
1099	C₂²×C₄	—	86	4	no	—
1100	C₂²×C₄	—	86	4	no	—
1101	C₂²×C₄	—	86	4	no	—
1102	C₂²×C₄	—	86	4	no	—
1103	C₂²×C₄	—	86	4	no	—
1104	C₂²×C₄	—	86	8	no	—
1105	C₂²×C₄	—	86	32	no	—
1106	C₂²×C₄	—	172	4	no	—
1107	C₂²×C₄	—	172	4	no	—
1108	C₂²×C₄	—	172	2	no	—
1109	C₂²×C₄	#10621898	1	8	yes	complemented
1110	C₂²×C₄	C₂³×D₄₃	1	2	yes	—
1111	C₂²×C₄	C₂³×D₄₃	1	2	yes	—
1112	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
1113	C₂²×C₄	C₂³×D₄₃	1	2	yes	—
1114	C₂²×C₄	C₂³×D₄₃	1	2	yes	—
1115	C₂²×C₄	C₂³×D₄₃	1	4	yes	—
1116	C₂²×C₄	C₂³×D₄₃	1	8	yes	—
1117	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
1118	C₂²×C₄	C₂³×D₄₃	1	4	yes	—
1119	C₂²×C₄	C₂³×D₄₃	1	4	yes	—
1120	C₂²×C₄	C₂³×D₄₃	1	4	yes	—
1121	C₂²×C₄	C₂³×D₄₃	1	4	yes	—
1122	C₂²×C₄	C₂³×D₄₃	1	8	yes	—
1123	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
1124	C₂²×C₄	C₂³×D₄₃	1	4	yes	—
1125	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
1126	C₄⋊C₄	—	43	4	no	—
1127	C₄⋊C₄	—	43	4	no	—
1128	C₄⋊C₄	—	43	4	no	—
1129	C₄⋊C₄	—	43	8	no	—
1130	C₄⋊C₄	—	43	8	no	—
1131	C₄⋊C₄	—	43	4	no	—
1132	C₄⋊C₄	—	43	4	no	—
1133	C₄⋊C₄	—	43	4	no	—
1134	C₄⋊C₄	—	43	8	no	—
1135	C₄⋊C₄	—	43	8	no	—
1136	C₄⋊C₄	—	43	8	no	—
1137	C₄⋊C₄	—	43	8	no	—
1138	C₄⋊C₄	—	43	8	no	—
1139	C₄⋊C₄	—	43	8	no	—
1140	C₄⋊C₄	—	43	8	no	—
1141	C₄⋊C₄	—	43	8	no	—
1142	C₄⋊C₄	—	43	8	no	—
1143	C₄⋊C₄	—	43	8	no	—
1144	C₄⋊C₄	—	43	8	no	—
1145	C₄⋊C₄	—	43	8	no	—
1146	C₄⋊C₄	C₂³×D₄₃	1	4	yes	—
1147	C₄⋊C₄	C₂³×D₄₃	1	4	yes	—
1148	C₄⋊C₄	C₂³×D₄₃	1	4	yes	—
1149	C₄⋊C₄	C₂³×D₄₃	1	4	yes	—
1150	C₄⋊C₄	C₂³×D₄₃	1	8	yes	—
1151	C₄⋊C₄	C₂³×D₄₃	1	8	yes	—
1152	C₂²⋊C₄	—	43	4	no	—
1153	C₂²⋊C₄	—	43	8	no	—
1154	C₂²⋊C₄	—	43	4	no	—
1155	C₂²⋊C₄	—	43	4	no	—
1156	C₂²⋊C₄	—	43	4	no	—
1157	C₂²⋊C₄	—	43	8	no	—
1158	C₂²⋊C₄	—	43	8	no	—
1159	C₂²⋊C₄	—	43	4	no	—
1160	C₂²⋊C₄	—	43	8	no	—
1161	C₂²⋊C₄	—	43	8	no	—
1162	C₂²⋊C₄	—	43	4	no	—
1163	C₂²⋊C₄	—	43	4	no	—
1164	C₂²⋊C₄	—	43	4	no	—
1165	C₂²⋊C₄	—	43	8	no	—
1166	C₂²⋊C₄	—	43	8	no	—
1167	C₂²⋊C₄	—	43	8	no	—
1168	C₂²⋊C₄	—	43	8	no	—
1169	C₂²⋊C₄	—	43	8	no	—
1170	C₂²⋊C₄	—	43	8	no	—
1171	C₂²⋊C₄	—	43	8	no	—
1172	C₂²⋊C₄	—	43	8	no	—
1173	C₂²⋊C₄	C₂³×D₄₃	1	8	yes	—
1174	C₂²⋊C₄	C₂³×D₄₃	1	8	yes	—
1175	C₂²⋊C₄	C₂³×D₄₃	1	8	yes	—
1176	C₂²⋊C₄	C₂³×D₄₃	1	8	yes	—
1177	C₄²	—	43	4	no	—
1178	C₄²	—	43	8	no	—
1179	C₄²	—	43	4	no	—
1180	C₄²	—	43	8	no	—
1181	C₄²	—	43	8	no	—
1182	C₄²	—	43	8	no	—
1183	C₄²	—	43	4	no	—
1184	C₄²	—	43	4	no	—
1185	C₄²	—	43	8	no	—
1186	C₄²	C₂³×D₄₃	1	8	yes	—
1187	C₄²	C₂³×D₄₃	1	8	yes	—
1188	C₄²	C₂³×D₄₃	1	8	yes	—
1189	C₄²	C₂³×D₄₃	1	8	yes	—
1190	C₂³	—	2	2	no	—
1191	C₂³	—	2	2	no	—
1192	C₂³	—	2	2	no	—
1193	C₂³	—	2	2	no	—
1194	C₂³	—	2	8	no	—
1195	C₂³	—	2	2	no	—
1196	C₂³	—	2	8	no	—
1197	C₂³	—	2	2	no	—
1198	C₂³	—	2	2	no	—
1199	C₂³	—	4	4	no	—
1200	C₂³	—	4	16	no	—
1201	C₂³	—	43	4	no	—
1202	C₂³	—	43	2	no	—
1203	C₂³	—	43	2	no	—
1204	C₂³	—	43	4	no	—
1205	C₂³	—	86	8	no	—
1206	C₂³	—	86	2	no	—
1207	C₂³	—	86	2	no	—
1208	C₂³	—	86	4	no	—
1209	C₂³	—	86	2	no	—
1210	C₂³	—	86	8	no	—
1211	C₂³	—	86	2	no	—
1212	C₂³	—	86	4	no	—
1213	C₂³	—	86	4	no	—
1214	C₂³	—	86	2	no	—
1215	C₂³	—	172	4	no	—
1216	C₂³	—	172	16	no	—
1217	C₂³	#41×D₄₃	1	4	yes	—
1218	C₂³	C₂×#10621898	1	4	yes	—
1219	C₂³	C₂⁴×D₄₃	1	2	yes	—
1220	C₂³	C₂⁴×D₄₃	1	2	yes	—
1221	C₂³	C₂⁴×D₄₃	1	2	yes	—
1222	C₂³	C₂⁴×D₄₃	1	1	yes	characteristic
1223	Q₈	—	86	16	no	—
1224	Q₈	—	86	8	no	—
1225	Q₈	—	172	8	no	—
1226	D₄	—	43	16	no	—
1227	D₄	—	86	16	no	—
1228	D₄	—	86	8	no	—
1229	D₄	—	86	8	no	—
1230	D₄	—	86	8	no	—
1231	D₄	—	86	16	no	—
1232	D₄	—	86	16	no	—
1233	D₄	—	86	8	no	—
1234	D₄	—	172	8	no	—
1235	D₄	—	172	8	no	—
1236	C₂×C₄	—	2	4	no	—
1237	C₂×C₄	—	2	4	no	—
1238	C₂×C₄	—	2	16	no	—
1239	C₂×C₄	—	2	8	no	—
1240	C₂×C₄	—	2	2	no	—
1241	C₂×C₄	—	2	2	no	—
1242	C₂×C₄	—	2	4	no	—
1243	C₂×C₄	—	2	4	no	—
1244	C₂×C₄	—	2	8	no	—
1245	C₂×C₄	—	2	8	no	—
1246	C₂×C₄	—	2	8	no	—
1247	C₂×C₄	—	2	8	no	—
1248	C₂×C₄	—	4	8	no	—
1249	C₂×C₄	—	43	4	no	—
1250	C₂×C₄	—	43	2	no	—
1251	C₂×C₄	—	43	2	no	—
1252	C₂×C₄	—	43	2	no	—
1253	C₂×C₄	—	43	2	no	—
1254	C₂×C₄	—	43	4	no	—
1255	C₂×C₄	—	43	4	no	—
1256	C₂×C₄	—	43	4	no	—
1257	C₂×C₄	—	43	2	no	—
1258	C₂×C₄	—	43	2	no	—
1259	C₂×C₄	—	86	16	no	—
1260	C₂×C₄	—	86	16	no	—
1261	C₂×C₄	—	86	8	no	—
1262	C₂×C₄	—	86	2	no	—
1263	C₂×C₄	—	86	4	no	—
1264	C₂×C₄	—	86	8	no	—
1265	C₂×C₄	—	86	2	no	—
1266	C₂×C₄	—	86	2	no	—
1267	C₂×C₄	—	86	4	no	—
1268	C₂×C₄	—	86	2	no	—
1269	C₂×C₄	—	86	4	no	—
1270	C₂×C₄	—	86	2	no	—
1271	C₂×C₄	—	86	8	no	—
1272	C₂×C₄	—	86	8	no	—
1273	C₂×C₄	—	86	8	no	—
1274	C₂×C₄	—	86	8	no	—
1275	C₂×C₄	—	86	16	no	—
1276	C₂×C₄	—	172	8	no	—
1277	C₂×C₄	—	172	8	no	—
1278	C₂×C₄	—	172	4	no	—
1279	C₂×C₄	C₂×#10621898	1	4	yes	—
1280	C₂×C₄	C₂×#10621898	1	4	yes	—
1281	C₂×C₄	C₂×#10621898	1	16	yes	complemented
1282	C₂×C₄	C₂⁴×D₄₃	1	4	yes	—
1283	C₂×C₄	C₂⁴×D₄₃	1	4	yes	—
1284	C₂×C₄	C₂⁴×D₄₃	1	2	yes	—
1285	C₂×C₄	C₂⁴×D₄₃	1	4	yes	—
1286	C₂×C₄	C₂⁴×D₄₃	1	4	yes	—
1287	C₂×C₄	C₂⁴×D₄₃	1	2	yes	—
1288	C₂×C₄	C₂⁴×D₄₃	1	2	yes	—
1289	C₂×C₄	C₂⁴×D₄₃	1	2	yes	—
1290	C₂²	—	2	2	no	—
1291	C₂²	—	2	2	no	—
1292	C₂²	—	2	2	no	—
1293	C₂²	—	2	2	no	—
1294	C₂²	—	2	8	no	—
1295	C₂²	—	2	8	no	—
1296	C₂²	—	2	2	no	—
1297	C₂²	—	2	2	no	—
1298	C₂²	—	2	2	no	—
1299	C₂²	—	4	16	no	—
1300	C₂²	—	4	4	no	—
1301	C₂²	—	43	4	no	—
1302	C₂²	—	86	2	no	—
1303	C₂²	—	86	2	no	—
1304	C₂²	—	86	8	no	—
1305	C₂²	—	86	4	no	—
1306	C₂²	—	86	2	no	—
1307	C₂²	—	86	2	no	—
1308	C₂²	—	86	4	no	—
1309	C₂²	—	86	4	no	—
1310	C₂²	—	86	2	no	—
1311	C₂²	—	172	16	no	—
1312	C₂²	—	172	4	no	—
1313	C₂²	—	172	8	no	—
1314	C₂²	C₂×#41×D₄₃	1	4	yes	—
1315	C₂²	C₂×#41×D₄₃	1	2	yes	—
1316	C₂²	C₂²×#10621898	1	4	yes	—
1317	C₂²	C₂²×#10621898	1	2	yes	—
1318	C₂²	#14583735	1	2	yes	—
1319	C₂²	C₂⁵×D₄₃	1	1	yes	characteristic
1320	C₄	—	2	4	no	—
1321	C₄	—	2	4	no	—
1322	C₄	—	2	2	no	—
1323	C₄	—	2	2	no	—
1324	C₄	—	2	4	no	—
1325	C₄	—	2	4	no	—
1326	C₄	—	43	4	no	—
1327	C₄	—	86	2	no	—
1328	C₄	—	86	4	no	—
1329	C₄	—	86	2	no	—
1330	C₄	—	86	2	no	—
1331	C₄	—	86	4	no	—
1332	C₄	—	86	2	no	—
1333	C₄	—	86	4	no	—
1334	C₄	—	86	2	no	—
1335	C₄	C₂²×#10621898	1	4	yes	—
1336	C₄	C₂²×#10621898	1	4	yes	—
1337	C₂	—	2	4	no	—
1338	C₂	—	2	4	no	—
1339	C₂	—	4	2	no	—
1340	C₂	—	86	4	no	—
1341	C₂	—	172	2	no	—
1342	C₂	—	172	4	no	—
1343	C₂	#19148149	1	4	yes	direct product factor
1344	C₂	C₂²×#41×D₄₃	1	1	yes	characteristic
1345	C₂	C₂³×#10621898	1	1	yes	characteristic
1346	C₂	C₂×#14583735	1	1	yes	characteristic

	subgroup	G/H
center	C₂²×C₄	C₂³×D₄₃
commutator, cosocle	C₂²×C₄₃	C₂⁶
Frattini	C₂²	C₂⁵×D₄₃
Fitting	C₂²×#117×C₄₃	C₂
socle	C₂³×C₄₃	C₂⁵
hypercenter	C₂²×#117	D₄₃
hypocenter	C₄₃	C₂×#3475
LCS	G ▷ C₂²×C₄₃ ▷ C₄₃
UCS	C₁ ◁ C₂²×C₄ ◁ C₂²×#117

Complements

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

N	H ≅ G/N	type
1. #19148149	C₂	direct (N × H)
2. C₂×#14583617	C₂	semidirect
3. C₂×#14583612	C₂	semidirect
4. C₂×#14583604	C₂	semidirect
5. C₂×#14583597	C₂	semidirect
6. C₂×#14583593	C₂	semidirect
7. C₂×#14583588	C₂	semidirect
8. C₂×#14583584	C₂	semidirect
9. C₂×#14583582	C₂	semidirect
10. C₂×#14583575	C₂	semidirect
11. C₂×#14583573	C₂	semidirect
12. C₂×#14583550	C₂	semidirect
13. C₂×#14583539	C₂	semidirect
14. C₂×#14583452	C₂	semidirect
15. C₂×#14583433	C₂	semidirect
16. C₂×#14583427	C₂	semidirect
17. C₂×#14583427	C₂	semidirect
18. C₂×#14583411	C₂	semidirect
19. C₂×#14583410	C₂	semidirect
20. C₂×C₄×#10621898	C₂	semidirect
21. C₂×#14583367	C₂	semidirect
22. C₂²×C₄×C₂²⋊D₄₃	C₂	semidirect
23. C₂×#117×D₄₃	C₂	semidirect
24. C₂²×#117×C₄₃	C₂	semidirect
29. #14583617	C₂²	semidirect
30. #14583612	C₂²	semidirect
31. #14583604	C₂²	semidirect
32. #14583597	C₂²	semidirect
33. #14583593	C₂²	semidirect
34. #14583588	C₂²	semidirect
35. #14583584	C₂²	semidirect
36. #14583582	C₂²	semidirect
37. #14583575	C₂²	semidirect
38. #14583573	C₂²	semidirect
39. #14583550	C₂²	semidirect
40. #14583539	C₂²	semidirect
41. #14583452	C₂²	semidirect
42. C₂×#13063324	C₂²	semidirect
43. C₂×#13063324	C₂²	semidirect
44. #14583433	C₂²	semidirect
45. #14583427	C₂²	semidirect
46. #14583427	C₂²	semidirect
47. C₂×#13063320	C₂²	semidirect
48. C₂×#13063320	C₂²	semidirect
49. C₂×#13063319	C₂²	semidirect
50. C₂×#13063319	C₂²	semidirect
51. C₂×#13063318	C₂²	semidirect
52. C₂×#13063318	C₂²	semidirect
53. C₂×#13063317	C₂²	semidirect
54. C₂×#13063316	C₂²	semidirect
55. C₂×#13063316	C₂²	semidirect
56. C₂×#13063315	C₂²	semidirect
57. C₂×#13063315	C₂²	semidirect
58. C₂×#13063313	C₂²	semidirect
60. C₂×#13063311	C₂²	semidirect
61. #14583411	C₂²	semidirect
62. #14583410	C₂²	semidirect
63. C₂×#13063310	C₂²	semidirect
64. C₂×#13063310	C₂²	semidirect
68. C₂×#13063308	C₂²	semidirect
70. C₂×#13063307	C₂²	semidirect
71. C₂×#13063305	C₂²	semidirect
72. C₂×#13063305	C₂²	semidirect
73. C₂×#13063304	C₂²	semidirect
74. C₂×#13063304	C₂²	semidirect
75. C₂×#13063304	C₂²	semidirect
76. C₂×#13063303	C₂²	semidirect
77. C₂×#13063303	C₂²	semidirect
80. C₂×#13063300	C₂²	semidirect
81. C₂×#13063300	C₂²	semidirect
83. C₂×#13063299	C₂²	semidirect
84. C₂×#13063299	C₂²	semidirect
89. C₄×#10621898	C₂²	semidirect
90. #14583367	C₂²	semidirect
91. C₂×C₄×Dic₈₆	C₂²	semidirect
92. C₂×C₄×Dic₈₆	C₂²	semidirect
93. C₂×C₄×Dic₈₆	C₂²	semidirect
94. C₂×#13063290	C₂²	semidirect
95. C₂×#13063290	C₂²	semidirect
96. C₂×C₄×D₁₇₂	C₂²	semidirect
97. C₂×C₄×D₁₇₂	C₂²	semidirect
98. C₂×C₄×D₁₇₂	C₂²	semidirect
99. C₂×#13063287	C₂²	semidirect
100. C₂×#13063287	C₂²	semidirect
110. C₂×C₄×C₂²⋊D₄₃	C₂²	semidirect
111. C₂×C₄×C₂²⋊D₄₃	C₂²	semidirect
112. C₂×C₄×C₂²⋊D₄₃	C₂²	semidirect
113. C₂×C₄×C₂²⋊D₄₃	C₂²	semidirect
117. C₂×#13063284	C₂²	semidirect
118. C₂×#13063283	C₂²	semidirect
119. C₂×#13063283	C₂²	semidirect
120. C₂×#13063282	C₂²	semidirect
121. C₂×#13063282	C₂²	semidirect
122. C₂×#13063282	C₂²	semidirect
123. C₂×#13063282	C₂²	semidirect
125. #117×D₄₃	C₂²	semidirect
127. C₂×C₄⋊C₄×D₄₃	C₂²	semidirect
128. C₂×C₄⋊C₄×D₄₃	C₂²	semidirect
133. C₂×C₄²×D₄₃	C₂²	semidirect
134. C₂×C₄²×D₄₃	C₂²	semidirect
139. C₂×#117×C₄₃	C₂²	semidirect
140. C₂×#117×C₄₃	C₂²	semidirect
141. C₂×#117×C₄₃	C₂²	semidirect
142. C₂×#117×C₄₃	C₂²	semidirect
143. C₂²×C₄⋊C₄×C₄₃	C₂²	semidirect
144. C₂²×C₄⋊C₄×C₄₃	C₂²	semidirect
146. C₂²×C₄²×C₄₃	C₂²	semidirect
181. #13063324	C₂³	semidirect
182. #13063324	C₂³	semidirect
183. #13063320	C₂³	semidirect
184. #13063320	C₂³	semidirect
185. #13063319	C₂³	semidirect
186. #13063319	C₂³	semidirect
187. #13063318	C₂³	semidirect
188. #13063318	C₂³	semidirect
189. #13063317	C₂³	semidirect
190. #13063316	C₂³	semidirect
191. #13063316	C₂³	semidirect
192. #13063315	C₂³	semidirect
193. #13063315	C₂³	semidirect
194. #13063313	C₂³	semidirect
196. #13063311	C₂³	semidirect
197. #13063310	C₂³	semidirect
198. #13063310	C₂³	semidirect
202. #13063308	C₂³	semidirect
204. #13063307	C₂³	semidirect
205. #13063305	C₂³	semidirect
206. #13063305	C₂³	semidirect
207. #13063304	C₂³	semidirect
208. #13063304	C₂³	semidirect
209. #13063304	C₂³	semidirect
210. #13063303	C₂³	semidirect
211. #13063303	C₂³	semidirect
214. #13063300	C₂³	semidirect
215. #13063300	C₂³	semidirect
217. #13063299	C₂³	semidirect
218. #13063299	C₂³	semidirect
223. C₄×Dic₈₆	C₂³	semidirect
224. C₄×Dic₈₆	C₂³	semidirect
225. C₄×Dic₈₆	C₂³	semidirect
226. #13063290	C₂³	semidirect
227. #13063290	C₂³	semidirect
228. C₄×D₁₇₂	C₂³	semidirect
229. C₄×D₁₇₂	C₂³	semidirect
230. C₄×D₁₇₂	C₂³	semidirect
231. #13063287	C₂³	semidirect
232. #13063287	C₂³	semidirect
242. C₄×C₂²⋊D₄₃	C₂³	semidirect
243. C₄×C₂²⋊D₄₃	C₂³	semidirect
244. C₄×C₂²⋊D₄₃	C₂³	semidirect
248. #13063284	C₂³	semidirect
249. #13063283	C₂³	semidirect
250. #13063283	C₂³	semidirect
251. #13063282	C₂³	semidirect
252. #13063282	C₂³	semidirect
253. #13063282	C₂³	semidirect
254. #13063282	C₂³	semidirect
277. C₄⋊C₄×D₄₃	C₂³	semidirect
278. C₄⋊C₄×D₄₃	C₂³	semidirect
313. C₄²×D₄₃	C₂³	semidirect
314. C₄²×D₄₃	C₂³	semidirect
329. #117×C₄₃	C₂³	semidirect
330. #117×C₄₃	C₂³	semidirect
331. #117×C₄₃	C₂³	semidirect
338. C₂×C₄⋊C₄×C₄₃	C₂³	semidirect
339. C₂×C₄⋊C₄×C₄₃	C₂³	semidirect
349. C₂×C₄²×C₄₃	C₂³	semidirect
372. C₂²×C₄×C₄₃	#41	semidirect
396. C₂×C₂²⋊D₄₃	#41	semidirect
564. C₂×C₄×C₄₃	C₂×#41	semidirect
579. C₂²⋊D₄₃	C₂×#41	semidirect
687. C₂²×#117	D₄₃	semidirect
691. C₂×C₄₃	#3475	semidirect
803. C₂×#117	C₂×D₄₃	semidirect
804. C₂×#117	C₂×D₄₃	semidirect
805. C₂×#117	C₂×D₄₃	semidirect
806. C₂×#117	C₂×D₄₃	semidirect
810. C₂²×C₄⋊C₄	C₂×D₄₃	semidirect
811. C₂²×C₄⋊C₄	C₂×D₄₃	semidirect
819. C₂²×C₄²	C₂×D₄₃	semidirect
820. C₄₃	C₂×#3475	semidirect
944. #117	C₂²×D₄₃	semidirect
945. #117	C₂²×D₄₃	semidirect
946. #117	C₂²×D₄₃	semidirect
976. C₂×C₄⋊C₄	C₂²×D₄₃	semidirect
977. C₂×C₄⋊C₄	C₂²×D₄₃	semidirect
1023. C₂×C₄²	C₂²×D₄₃	semidirect
1109. C₂²×C₄	#10621898	semidirect
1281. C₂×C₄	C₂×#10621898	semidirect
1343. C₂	#19148149	direct (N × H)

Maximal subgroups

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

subgroup	index
#19148149	2
C₂×#14583617	2
C₂×#14583612	2
C₂×#14583604	2
C₂×#14583597	2
C₂×#14583593	2
C₂×#14583588	2
C₂×#14583584	2
C₂×#14583582	2
C₂×#14583575	2
C₂×#14583573	2
C₂×#14583550	2
C₂×#14583539	2
C₂×#14583452	2
C₂×#14583433	2
C₂×#14583427	2
C₂×#14583411	2
C₂×#14583410	2
C₂×C₄×#10621898	2
C₂×#14583367	2
C₂²×C₄×C₂²⋊D₄₃	2
C₂×#117×D₄₃	2
C₂²×#117×C₄₃	2
C₂×#3475	43

Subgroups — C2×#19148149 #26003624

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₂×#19148149 #26003624