Subgroups — #25262334

Order 11008.

2164 conjugacy classes of subgroups.

The subgroup lattice has 1486 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×#14583575	C₂	1	1	yes	maximal, characteristic
2	#19137768	C₂	1	1	yes	maximal, characteristic, complemented
3	#19137741	C₂	1	1	yes	maximal, characteristic, complemented
4	#19137739	C₂	1	1	yes	maximal, characteristic, complemented
5	#19137734	C₂	1	1	yes	maximal, characteristic
6	#19137729	C₂	1	1	yes	maximal, characteristic, complemented
7	#19137716	C₂	1	1	yes	maximal, characteristic, complemented
8	#19137710	C₂	1	1	yes	maximal, characteristic, complemented
9	#19137622	C₂	1	1	yes	maximal, characteristic, complemented
10	#19137619	C₂	1	1	yes	maximal, characteristic, complemented
11	#19137565	C₂	1	1	yes	maximal, characteristic, complemented
12	#19137563	C₂	1	1	yes	maximal, characteristic, complemented
13	#19137478	C₂	1	1	yes	maximal, characteristic, complemented
14	#19137477	C₂	1	1	yes	maximal, characteristic, complemented
15	#19137440	C₂	1	1	yes	maximal, characteristic, complemented
16	#19137385	C₂	1	1	yes	maximal, characteristic, complemented
17	#19137378	C₂	1	1	yes	maximal, characteristic, complemented
18	#19137372	C₂	1	1	yes	maximal, characteristic, complemented
19	#19137371	C₂	1	1	yes	maximal, characteristic, complemented
20	#19137352	C₂	1	1	yes	maximal, characteristic, complemented
21	#19137348	C₂	1	1	yes	maximal, characteristic, complemented
22	#19137301	C₂	1	1	yes	maximal, characteristic, complemented
23	#19137253	C₂	1	1	yes	maximal, characteristic
24	#19137202	C₂	1	1	yes	maximal, characteristic, complemented
25	#19137199	C₂	1	1	yes	maximal, characteristic, complemented
26	#19137193	C₂	1	1	yes	maximal, characteristic, complemented
27	#19137191	C₂	1	1	yes	maximal, characteristic, complemented
28	C₄×#13063307	C₂	1	1	yes	maximal, characteristic, complemented
29	#19137037	C₂	1	1	yes	maximal, characteristic, complemented
30	#19137032	C₂	1	1	yes	maximal, characteristic, complemented
31	C₄₃×#2342	C₂	1	1	yes	maximal, characteristic, complemented
32	#14583575	C₄	1	16	yes	complemented
33	C₂×#13063318	C₂²	1	1	yes	characteristic
34	C₂×#13063318	C₂²	1	1	yes	characteristic
35	C₂×#13063311	C₂²	1	1	yes	characteristic
36	C₂×#13063309	C₂²	1	1	yes	characteristic
37	C₂×#13063308	C₂²	1	1	yes	characteristic
38	C₂×#13063307	C₂²	1	1	yes	characteristic
39	C₂×#13063304	C₂²	1	1	yes	characteristic
40	C₂×#13063302	C₂²	1	1	yes	characteristic
41	C₂×#13063294	C₂²	1	1	yes	characteristic
42	C₂×#13063290	C₂²	1	1	yes	characteristic, complemented
43	C₂×C₄×C₂²⋊D₄₃	C₂²	1	1	yes	characteristic
44	C₂×C₄×C₂²⋊D₄₃	C₂²	1	1	yes	characteristic
45	C₂×(C₂²⋊D₄₃)⋊C₄	C₂²	1	1	yes	characteristic
46	C₂×#13063284	C₂²	1	1	yes	characteristic
47	C₂×#13063281	C₂²	1	1	yes	characteristic
48	C₂×#13063281	C₂²	1	1	yes	characteristic
49	C₂²×C₂²⋊Dic₄₃	C₂²	1	1	yes	characteristic
50	C₂×C₄²×D₄₃	C₂²	1	1	yes	characteristic, complemented
51	#14582804	C₂²	1	1	yes	characteristic, complemented
52	#14582803	C₂²	1	1	yes	characteristic, complemented
53	#14582803	C₂²	1	1	yes	characteristic, complemented
54	#14582799	C₂²	1	1	yes	characteristic
55	#14582799	C₂²	1	1	yes	characteristic
56	#14582799	C₂²	1	1	yes	characteristic
57	#14582799	C₂²	1	1	yes	characteristic
58	#14582799	C₂²	1	1	yes	characteristic
59	#14582797	C₂²	1	1	yes	characteristic, complemented
60	#14582797	C₂²	1	1	yes	characteristic, complemented
61	#14582796	C₂²	1	1	yes	characteristic, complemented
62	#14582796	C₂²	1	1	yes	characteristic, complemented
63	#14582795	C₂²	1	1	yes	characteristic, complemented
64	#14582794	C₂²	1	1	yes	characteristic, complemented
65	#14582793	C₂²	1	1	yes	characteristic
66	#14582793	C₂²	1	1	yes	characteristic
67	#14582793	C₂²	1	1	yes	characteristic
68	#14582793	C₂²	1	1	yes	characteristic
69	#14582793	C₂²	1	1	yes	characteristic
70	#14582793	C₂²	1	1	yes	characteristic
71	#14582793	C₂²	1	1	yes	characteristic
72	#14582793	C₂²	1	1	yes	characteristic
73	#14582793	C₂²	1	1	yes	characteristic
74	#14582793	C₂²	1	1	yes	characteristic
75	#14582793	C₂²	1	1	yes	characteristic
76	#14582792	C₂²	1	1	yes	characteristic
77	#14582792	C₂²	1	1	yes	characteristic
78	#14582792	C₂²	1	1	yes	characteristic
79	#14582792	C₂²	1	1	yes	characteristic
80	#14582792	C₂²	1	1	yes	characteristic
81	#14582792	C₂²	1	1	yes	characteristic
82	#14582792	C₂²	1	1	yes	characteristic
83	#14582792	C₂²	1	1	yes	characteristic
84	#14582791	C₂²	1	1	yes	characteristic, complemented
85	#14582791	C₂²	1	1	yes	characteristic, complemented
86	#14582790	C₂²	1	1	yes	characteristic, complemented
87	#14582789	C₂²	1	1	yes	characteristic, complemented
88	#14582788	C₂²	1	1	yes	characteristic, complemented
89	#14582788	C₂²	1	1	yes	characteristic, complemented
90	#14582787	C₂²	1	1	yes	characteristic
91	#14582787	C₂²	1	1	yes	characteristic
92	#14582787	C₂²	1	1	yes	characteristic
93	#14582787	C₂²	1	1	yes	characteristic
94	#14582787	C₂²	1	1	yes	characteristic
95	#14582787	C₂²	1	1	yes	characteristic
96	#14582787	C₂²	1	1	yes	characteristic
97	#14582787	C₂²	1	1	yes	characteristic
98	#14582787	C₂²	1	1	yes	characteristic
99	#14582787	C₂²	1	1	yes	characteristic
100	#14582787	C₂²	1	1	yes	characteristic
101	#14582786	C₂²	1	1	yes	characteristic, complemented
102	#14582786	C₂²	1	1	yes	characteristic, complemented
103	#14582784	C₂²	1	1	yes	characteristic, complemented
104	#14582784	C₂²	1	1	yes	characteristic, complemented
105	#14582783	C₂²	1	1	yes	characteristic, complemented
106	#14582783	C₂²	1	1	yes	characteristic, complemented
107	#14582783	C₂²	1	1	yes	characteristic, complemented
108	#14582782	C₂²	1	1	yes	characteristic, complemented
109	#14582782	C₂²	1	1	yes	characteristic, complemented
110	#14582782	C₂²	1	1	yes	characteristic, complemented
111	#14582782	C₂²	1	1	yes	characteristic, complemented
112	#14582781	C₂²	1	1	yes	characteristic, complemented
113	#14582781	C₂²	1	1	yes	characteristic, complemented
114	#14582780	C₂²	1	1	yes	characteristic, complemented
115	#14582780	C₂²	1	1	yes	characteristic, complemented
116	#14582780	C₂²	1	1	yes	characteristic, complemented
117	#14582778	C₂²	1	1	yes	characteristic
118	#14582775	C₂²	1	1	yes	characteristic
119	#14582775	C₂²	1	1	yes	characteristic
120	#14582775	C₂²	1	1	yes	characteristic
121	#14582775	C₂²	1	1	yes	characteristic
122	#14582775	C₂²	1	1	yes	characteristic
123	#14582773	C₂²	1	1	yes	characteristic, complemented
124	#14582773	C₂²	1	1	yes	characteristic, complemented
125	#14582772	C₂²	1	1	yes	characteristic
126	#14582772	C₂²	1	1	yes	characteristic
127	#14582772	C₂²	1	1	yes	characteristic
128	#14582770	C₂²	1	1	yes	characteristic, complemented
129	#14582770	C₂²	1	1	yes	characteristic, complemented
130	#14582770	C₂²	1	1	yes	characteristic, complemented
131	#14582768	C₂²	1	1	yes	characteristic, complemented
132	#14582764	C₂²	1	1	yes	characteristic, complemented
133	#14582763	C₂²	1	1	yes	characteristic, complemented
134	#14582763	C₂²	1	1	yes	characteristic, complemented
135	#14582763	C₂²	1	1	yes	characteristic, complemented
136	#14582761	C₂²	1	1	yes	characteristic, complemented
137	#14582760	C₂²	1	1	yes	characteristic
138	#14582759	C₂²	1	1	yes	characteristic
139	#14582759	C₂²	1	1	yes	characteristic
140	#14582757	C₂²	1	1	yes	characteristic
141	#14582757	C₂²	1	1	yes	characteristic
142	#14582757	C₂²	1	1	yes	characteristic
143	#14582755	C₂²	1	1	yes	characteristic
144	#14582755	C₂²	1	1	yes	characteristic
145	C₄⋊C₄×Dic₄₃	C₂²	1	1	yes	characteristic, complemented
146	C₄⋊C₄×Dic₄₃	C₂²	1	1	yes	characteristic, complemented
147	C₄⋊C₄×Dic₄₃	C₂²	1	1	yes	characteristic, complemented
148	C₄×Dic₄₃⋊C₄	C₂²	1	1	yes	characteristic, complemented
149	C₄×Dic₄₃⋊C₄	C₂²	1	1	yes	characteristic, complemented
150	C₄×Dic₄₃⋊C₄	C₂²	1	1	yes	characteristic, complemented
151	C₄×Dic₄₃⋊C₄	C₂²	1	1	yes	characteristic, complemented
152	C₄×C₄⋊Dic₄₃	C₂²	1	1	yes	characteristic, complemented
153	C₄×C₄⋊Dic₄₃	C₂²	1	1	yes	characteristic, complemented
154	#14582750	C₂²	1	1	yes	characteristic, complemented
155	#14582750	C₂²	1	1	yes	characteristic, complemented
156	#14582750	C₂²	1	1	yes	characteristic, complemented
157	#14582750	C₂²	1	1	yes	characteristic, complemented
158	#14582750	C₂²	1	1	yes	characteristic, complemented
159	C₂²⋊C₄×Dic₄₃	C₂²	1	1	yes	characteristic
160	C₂²⋊C₄×Dic₄₃	C₂²	1	1	yes	characteristic
161	C₂²⋊C₄×Dic₄₃	C₂²	1	1	yes	characteristic
162	C₄×(C₂×D₄₃)⋊C₄	C₂²	1	1	yes	characteristic, complemented
163	C₄×(C₂×D₄₃)⋊C₄	C₂²	1	1	yes	characteristic, complemented
164	C₄×C₂²⋊Dic₄₃	C₂²	1	1	yes	characteristic
165	C₄×C₂²⋊Dic₄₃	C₂²	1	1	yes	characteristic
166	C₄×C₂²⋊Dic₄₃	C₂²	1	1	yes	characteristic
167	C₄×C₂²⋊Dic₄₃	C₂²	1	1	yes	characteristic
168	C₄×C₂²⋊Dic₄₃	C₂²	1	1	yes	characteristic
169	#14582746	C₂²	1	1	yes	characteristic, complemented
170	#14582745	C₂²	1	1	yes	characteristic, complemented
171	#14582744	C₂²	1	1	yes	characteristic, complemented
172	#14582744	C₂²	1	1	yes	characteristic, complemented
173	C₂×#117×C₄₃	C₂²	1	1	yes	characteristic
174	C₂²×C₂²⋊C₄×C₄₃	C₂²	1	1	yes	characteristic
175	C₂²×C₂²⋊C₄×C₄₃	C₂²	1	1	yes	characteristic
176	C₄₃×#388	C₂²	1	1	yes	characteristic
177	C₄₃×#388	C₂²	1	1	yes	characteristic
178	C₄₃×#388	C₂²	1	1	yes	characteristic
179	C₄₃×#388	C₂²	1	1	yes	characteristic
180	C₄₃×#385	C₂²	1	1	yes	characteristic
181	C₄₃×#385	C₂²	1	1	yes	characteristic
182	C₄₃×#381	C₂²	1	1	yes	characteristic
183	C₄₃×#380	C₂²	1	1	yes	characteristic
184	C₄₃×#379	C₂²	1	1	yes	characteristic
185	C₄×C₂²⋊C₄×C₄₃	C₂²	1	1	yes	characteristic
186	C₄×C₂²⋊C₄×C₄₃	C₂²	1	1	yes	characteristic
187	C₄×C₂²⋊C₄×C₄₃	C₂²	1	1	yes	characteristic
188	C₂²×Dic₈₆	C₂³	1	1	yes	characteristic
189	C₂²×C₂²⋊D₄₃	C₂³	1	1	yes	characteristic
190	C₂²×C₂²⋊D₄₃	C₂³	1	1	yes	characteristic
191	C₂²×C₂²⋊D₄₃	C₂³	1	1	yes	characteristic
192	C₂³×Dic₄₃	C₂³	1	1	yes	characteristic
193	C₂³×Dic₄₃	C₂³	1	1	yes	characteristic
194	C₂²×C₄×D₄₃	C₂³	1	1	yes	characteristic
195	C₂²×C₄×D₄₃	C₂³	1	1	yes	characteristic
196	C₂²×C₄×D₄₃	C₂³	1	1	yes	characteristic
197	#13063318	C₂×C₄	1	8	yes	complemented
198	#13063318	C₂×C₄	1	8	yes	complemented
199	#13063311	C₂×C₄	1	8	yes	—
200	#13063309	C₂×C₄	1	8	yes	complemented
201	#13063308	C₂×C₄	1	8	yes	complemented
202	#13063307	C₂×C₄	1	8	yes	—
203	#13063304	C₂×C₄	1	8	yes	complemented
204	#13063302	C₂×C₄	1	8	yes	complemented
205	#13063294	C₂×C₄	1	8	yes	—
206	#13063290	—	4	2	no	—
207	C₄×C₂²⋊D₄₃	—	4	2	no	—
208	C₄×C₂²⋊D₄₃	C₂×C₄	1	8	yes	complemented
209	(C₂²⋊D₄₃)⋊C₄	C₂×C₄	1	8	yes	complemented
210	#13063284	C₂×C₄	1	8	yes	complemented
211	#13063281	—	4	2	no	—
212	#13063281	C₂×C₄	1	8	yes	complemented
213	C₂×C₄⋊Dic₄₃	C₂³	1	1	yes	characteristic
214	C₂×C₄⋊Dic₄₃	C₂³	1	1	yes	characteristic
215	C₂×C₄⋊Dic₄₃	C₂³	1	1	yes	characteristic
216	C₂×C₄⋊Dic₄₃	C₂³	1	1	yes	characteristic
217	C₂×C₄⋊Dic₄₃	C₂³	1	1	yes	characteristic
218	C₂×C₄⋊Dic₄₃	C₂³	1	1	yes	characteristic
219	C₂×C₄⋊Dic₄₃	C₂³	1	1	yes	characteristic
220	C₂×Dic₄₃⋊C₄	C₂³	1	1	yes	characteristic
221	C₂×Dic₄₃⋊C₄	C₂³	1	1	yes	characteristic
222	C₂×Dic₄₃⋊C₄	C₂³	1	1	yes	characteristic
223	C₂×Dic₄₃⋊C₄	C₂³	1	1	yes	characteristic
224	C₂×Dic₄₃⋊C₄	C₂³	1	1	yes	characteristic
225	C₂×Dic₄₃⋊C₄	C₂³	1	1	yes	characteristic
226	C₂×Dic₄₃⋊C₄	C₂³	1	1	yes	characteristic
227	C₂×Dic₄₃⋊C₄	C₂³	1	1	yes	characteristic
228	C₂×Dic₄₃⋊C₄	C₂³	1	1	yes	characteristic
229	C₂×Dic₄₃⋊C₄	C₂³	1	1	yes	characteristic
230	C₂×Dic₄₃⋊C₄	C₂³	1	1	yes	characteristic
231	C₂×Dic₄₃⋊C₄	C₂³	1	1	yes	characteristic
232	C₂×Dic₄₃⋊C₄	C₂³	1	1	yes	characteristic
233	C₂×Dic₄₃⋊C₄	C₂³	1	1	yes	characteristic
234	C₂×Dic₄₃⋊C₄	C₂³	1	1	yes	characteristic
235	C₂×Dic₄₃⋊C₄	C₂³	1	1	yes	characteristic
236	C₂×Dic₄₃⋊C₄	C₂³	1	1	yes	characteristic
237	C₂×Dic₄₃⋊C₄	C₂³	1	1	yes	characteristic
238	C₂×Dic₄₃⋊C₄	C₂³	1	1	yes	characteristic
239	C₂×C₂²⋊Dic₄₃	C₂×C₄	1	8	yes	complemented
240	C₂×C₂²⋊Dic₄₃	C₂³	1	1	yes	characteristic
241	C₂×C₂²⋊Dic₄₃	C₂³	1	1	yes	characteristic
242	C₂×C₂²⋊Dic₄₃	C₂³	1	1	yes	characteristic
243	C₂×C₂²⋊Dic₄₃	C₂³	1	1	yes	characteristic
244	C₂×C₂²⋊Dic₄₃	C₂³	1	1	yes	characteristic
245	C₂×C₂²⋊Dic₄₃	C₂³	1	1	yes	characteristic
246	C₂×C₂²⋊Dic₄₃	C₂³	1	1	yes	characteristic
247	C₂×C₂²⋊Dic₄₃	C₂³	1	1	yes	characteristic
248	C₂×C₂²⋊Dic₄₃	C₂³	1	1	yes	characteristic
249	C₂×C₂²⋊Dic₄₃	C₂³	1	1	yes	characteristic
250	C₂×C₂²⋊Dic₄₃	C₂³	1	1	yes	characteristic
251	C₂×C₂²⋊Dic₄₃	C₂³	1	1	yes	characteristic
252	C₂×C₂²⋊Dic₄₃	C₂³	1	1	yes	characteristic
253	C₂×C₂²⋊Dic₄₃	C₂³	1	1	yes	characteristic
254	C₂×C₂²⋊Dic₄₃	C₂³	1	1	yes	characteristic
255	C₂×C₂²⋊Dic₄₃	C₂³	1	1	yes	characteristic
256	C₂×C₂²⋊Dic₄₃	C₂³	1	1	yes	characteristic
257	C₂×C₂²⋊Dic₄₃	C₂³	1	1	yes	characteristic
258	C₂×C₂²⋊Dic₄₃	C₂³	1	1	yes	characteristic
259	C₂×(C₂×D₄₃)⋊C₄	C₂³	1	1	yes	characteristic
260	C₂×(C₂×D₄₃)⋊C₄	C₂³	1	1	yes	characteristic
261	C₂×(C₂×D₄₃)⋊C₄	C₂³	1	1	yes	characteristic
262	C₂×(C₂×D₄₃)⋊C₄	C₂³	1	1	yes	characteristic
263	C₂×(C₂×D₄₃)⋊C₄	C₂³	1	1	yes	characteristic
264	C₂×(C₂×D₄₃)⋊C₄	C₂³	1	1	yes	characteristic
265	C₂×(C₂×D₄₃)⋊C₄	C₂³	1	1	yes	characteristic
266	C₂×(C₂×D₄₃)⋊C₄	C₂³	1	1	yes	characteristic
267	C₂×(C₂×D₄₃)⋊C₄	C₂³	1	1	yes	characteristic
268	C₂×C₄×Dic₄₃	C₂³	1	1	yes	characteristic
269	C₂×C₄×Dic₄₃	C₂³	1	1	yes	characteristic
270	C₂×C₄×Dic₄₃	C₂³	1	1	yes	characteristic
271	C₂×C₄×Dic₄₃	C₂³	1	1	yes	characteristic
272	C₂×C₄×Dic₄₃	C₂³	1	1	yes	characteristic
273	C₂×C₄×Dic₄₃	C₂³	1	1	yes	characteristic
274	C₂×C₄×Dic₄₃	C₂³	1	1	yes	characteristic
275	C₂×C₄×Dic₄₃	C₂³	1	1	yes	characteristic
276	C₂×C₄×Dic₄₃	C₂³	1	1	yes	characteristic
277	C₂×C₄×Dic₄₃	C₂³	1	1	yes	characteristic
278	C₂×C₄×Dic₄₃	C₂³	1	1	yes	characteristic
279	C₂×C₄×Dic₄₃	C₂³	1	1	yes	characteristic
280	C₂×C₄×Dic₄₃	C₂³	1	1	yes	characteristic
281	C₂×C₄×Dic₄₃	C₂³	1	1	yes	characteristic
282	C₂×C₄×Dic₄₃	C₂³	1	1	yes	characteristic
283	C₂×C₄×Dic₄₃	C₂³	1	1	yes	characteristic
284	C₂×C₄×Dic₄₃	C₂³	1	1	yes	characteristic
285	C₂×C₄×Dic₄₃	C₂³	1	1	yes	characteristic
286	C₂×C₄×Dic₄₃	C₂³	1	1	yes	characteristic
287	C₂×C₄×Dic₄₃	C₂³	1	1	yes	characteristic
288	C₂×C₄×Dic₄₃	C₂³	1	1	yes	characteristic
289	C₄²×D₄₃	—	4	2	no	—
290	C₄₃⋊#95	C₂³	1	1	yes	characteristic
291	C₄₃⋊#95	C₂³	1	1	yes	characteristic
292	C₄₃⋊#95	C₂³	1	1	yes	characteristic
293	C₄₃⋊#95	C₂³	1	1	yes	characteristic
294	C₄₃⋊#95	C₂³	1	1	yes	characteristic
295	C₄₃⋊#95	C₂³	1	1	yes	characteristic
296	C₄₃⋊#95	C₂³	1	1	yes	characteristic
297	C₄₃⋊#95	C₂³	1	1	yes	characteristic
298	C₄₃⋊#95	C₂³	1	1	yes	characteristic
299	C₄₃⋊#95	C₂³	1	1	yes	characteristic
300	C₄₃⋊#95	C₂³	1	1	yes	characteristic
301	C₄₃⋊#95	C₂³	1	1	yes	characteristic
302	C₄₃⋊#95	C₂³	1	1	yes	characteristic
303	C₄₃⋊#95	C₂³	1	1	yes	characteristic
304	C₄₃⋊#95	C₂³	1	1	yes	characteristic
305	C₄₃⋊#95	C₂³	1	1	yes	characteristic
306	C₄₃⋊#95	C₂³	1	1	yes	characteristic
307	C₄₃⋊#95	C₂³	1	1	yes	characteristic
308	C₄₃⋊#95	C₂³	1	1	yes	characteristic
309	C₄₃⋊#95	C₂³	1	1	yes	characteristic
310	C₄₃⋊#95	C₂³	1	1	yes	characteristic
311	C₄₃⋊#95	C₂³	1	1	yes	characteristic
312	C₄₃⋊#95	C₂³	1	1	yes	characteristic
313	C₄₃⋊#95	C₂³	1	1	yes	characteristic
314	C₄₃⋊#95	C₂³	1	1	yes	characteristic
315	C₄₃⋊#95	C₂³	1	1	yes	characteristic
316	C₄₃⋊#95	C₂³	1	1	yes	characteristic
317	C₄₃⋊#95	C₂³	1	1	yes	characteristic
318	C₄₃⋊#95	C₂³	1	1	yes	characteristic
319	C₄₃⋊#95	C₂³	1	1	yes	characteristic
320	C₄₃⋊#95	C₂³	1	1	yes	characteristic
321	C₄₃⋊#95	C₂³	1	1	yes	characteristic
322	C₄₃⋊#95	C₂³	1	1	yes	characteristic
323	C₄₃⋊#95	C₂³	1	1	yes	characteristic
324	C₄₃⋊#95	C₂³	1	1	yes	characteristic
325	C₄₃⋊#95	C₂³	1	1	yes	characteristic
326	C₂⁵×C₄₃	C₂³	1	1	yes	characteristic
327	C₂³×C₄×C₄₃	C₂³	1	1	yes	characteristic
328	C₂³×C₄×C₄₃	C₂³	1	1	yes	characteristic
329	C₂³×C₄×C₄₃	C₂³	1	1	yes	characteristic
330	C₂³×C₄×C₄₃	C₂³	1	1	yes	characteristic
331	#117×C₄₃	—	4	2	no	—
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×C₂²⋊C₄×C₄₃	—	4	2	no	—
337	C₂×C₂²⋊C₄×C₄₃	C₂×C₄	1	8	yes	complemented
338	C₂×C₂²⋊C₄×C₄₃	C₂³	1	1	yes	characteristic
339	C₂×C₂²⋊C₄×C₄₃	C₂³	1	1	yes	characteristic
340	C₂×C₂²⋊C₄×C₄₃	C₂³	1	1	yes	characteristic
341	C₂×C₂²⋊C₄×C₄₃	C₂³	1	1	yes	characteristic
342	C₂×C₂²⋊C₄×C₄₃	C₂³	1	1	yes	characteristic
343	C₂×C₂²⋊C₄×C₄₃	C₂³	1	1	yes	characteristic
344	C₂×C₂²⋊C₄×C₄₃	C₂³	1	1	yes	characteristic
345	C₂×C₂²⋊C₄×C₄₃	C₂³	1	1	yes	characteristic
346	C₂×C₂²⋊C₄×C₄₃	C₂³	1	1	yes	characteristic
347	C₂×C₂²⋊C₄×C₄₃	C₂³	1	1	yes	characteristic
348	C₂×C₂²⋊C₄×C₄₃	C₂³	1	1	yes	characteristic
349	C₂×C₂²⋊C₄×C₄₃	C₂³	1	1	yes	characteristic
350	C₂×C₂²⋊C₄×C₄₃	C₂³	1	1	yes	characteristic
351	C₂×C₂²⋊C₄×C₄₃	C₂³	1	1	yes	characteristic
352	C₂×C₄²×C₄₃	C₂³	1	1	yes	characteristic
353	C₂×C₄²×C₄₃	C₂³	1	1	yes	characteristic
354	C₂×C₄²×C₄₃	C₂³	1	1	yes	characteristic
355	C₂×C₄²×C₄₃	C₂³	1	1	yes	characteristic
356	#95×C₄₃	C₂³	1	1	yes	characteristic
357	#95×C₄₃	C₂³	1	1	yes	characteristic
358	#95×C₄₃	C₂³	1	1	yes	characteristic
359	#95×C₄₃	C₂³	1	1	yes	characteristic
360	#95×C₄₃	C₂³	1	1	yes	characteristic
361	#95×C₄₃	C₂³	1	1	yes	characteristic
362	#95×C₄₃	C₂³	1	1	yes	characteristic
363	#95×C₄₃	C₂³	1	1	yes	characteristic
364	C₂⁴×C₄₃	—	4	1	no	—
365	C₂⁴×C₄₃	—	4	1	no	—
366	C₂⁴×C₄₃	—	4	1	no	—
367	C₂⁴×C₄₃	—	4	1	no	—
368	C₂⁴×C₄₃	—	4	1	no	—
369	C₂⁴×C₄₃	—	4	1	no	—
370	C₂⁴×C₄₃	C₂²×C₄	1	4	yes	—
371	C₂⁴×C₄₃	C₂⁴	1	1	yes	characteristic
372	C₂⁴×C₄₃	C₂⁴	1	1	yes	characteristic
373	C₂⁴×C₄₃	C₂⁴	1	1	yes	characteristic
374	C₂³×D₄₃	C₂⁴	1	1	yes	characteristic
375	C₂²×C₄×C₄₃	—	2	2	no	—
376	C₂²×C₄×C₄₃	—	4	1	no	—
377	C₂²×C₄×C₄₃	—	4	1	no	—
378	C₂²×C₄×C₄₃	—	4	1	no	—
379	C₂²×C₄×C₄₃	—	4	1	no	—
380	C₂²×C₄×C₄₃	—	4	1	no	—
381	C₂²×C₄×C₄₃	—	4	1	no	—
382	C₂²×C₄×C₄₃	—	4	1	no	—
383	C₂²×C₄×C₄₃	—	4	1	no	—
384	C₂²×C₄×C₄₃	—	4	1	no	—
385	C₂²×C₄×C₄₃	C₂²×C₄	1	4	yes	—
386	C₂²×C₄×C₄₃	C₂²×C₄	1	4	yes	—
387	C₂²×C₄×C₄₃	C₂⁴	1	1	yes	characteristic
388	C₂²×C₄×C₄₃	C₂⁴	1	1	yes	characteristic
389	C₂²×C₄×C₄₃	C₂⁴	1	1	yes	characteristic
390	C₂²×C₄×C₄₃	C₂⁴	1	1	yes	characteristic
391	C₂²×C₄×C₄₃	C₂⁴	1	1	yes	characteristic
392	C₂²×C₄×C₄₃	C₂⁴	1	1	yes	characteristic
393	C₂²×C₄×C₄₃	C₂⁴	1	1	yes	characteristic
394	C₂²×C₄×C₄₃	C₂⁴	1	1	yes	characteristic
395	C₂²×C₄×C₄₃	C₂⁴	1	1	yes	characteristic
396	C₂²×C₄×C₄₃	C₂⁴	1	1	yes	characteristic
397	C₂²×C₄×C₄₃	C₂⁴	1	1	yes	characteristic
398	C₂²×C₄×C₄₃	C₂⁴	1	1	yes	characteristic
399	C₂×C₂²⋊D₄₃	—	4	1	no	—
400	C₂×C₂²⋊D₄₃	—	4	1	no	—
401	C₂×C₂²⋊D₄₃	—	4	1	no	—
402	C₂×C₂²⋊D₄₃	—	4	1	no	—
403	C₂×C₂²⋊D₄₃	—	4	1	no	—
404	C₂×C₂²⋊D₄₃	—	4	1	no	—
405	C₂×C₂²⋊D₄₃	C₂²×C₄	1	4	yes	—
406	C₂×C₂²⋊D₄₃	C₂²×C₄	1	4	yes	—
407	C₂×C₂²⋊D₄₃	C₂²×C₄	1	4	yes	—
408	C₂²×Dic₄₃	—	4	1	no	—
409	C₂²×Dic₄₃	—	4	1	no	—
410	C₂²×Dic₄₃	—	4	1	no	—
411	C₂²×Dic₄₃	—	4	1	no	—
412	C₂²×Dic₄₃	C₂²×C₄	1	4	yes	—
413	C₂²×Dic₄₃	C₂²×C₄	1	4	yes	—
414	C₂²×Dic₄₃	C₂⁴	1	1	yes	characteristic
415	C₂²×Dic₄₃	C₂⁴	1	1	yes	characteristic
416	C₂²×Dic₄₃	C₂⁴	1	1	yes	characteristic
417	C₂²×Dic₄₃	C₂⁴	1	1	yes	characteristic
418	C₂²×Dic₄₃	C₂⁴	1	1	yes	characteristic
419	C₂²×Dic₄₃	C₂⁴	1	1	yes	characteristic
420	C₂²×Dic₄₃	C₂⁴	1	1	yes	characteristic
421	C₂²×Dic₄₃	C₂⁴	1	1	yes	characteristic
422	C₂²×Dic₄₃	C₂⁴	1	1	yes	characteristic
423	C₂²×Dic₄₃	C₂⁴	1	1	yes	characteristic
424	C₂²×Dic₄₃	C₂⁴	1	1	yes	characteristic
425	C₂²×Dic₄₃	C₂⁴	1	1	yes	characteristic
426	C₂²×Dic₄₃	C₂⁴	1	1	yes	characteristic
427	C₂²×Dic₄₃	C₂⁴	1	1	yes	characteristic
428	C₂²×Dic₄₃	C₂⁴	1	1	yes	characteristic
429	C₂×C₄×D₄₃	—	2	2	no	—
430	C₂×C₄×D₄₃	—	4	1	no	—
431	C₂×C₄×D₄₃	—	4	1	no	—
432	C₂×C₄×D₄₃	—	4	1	no	—
433	C₂×C₄×D₄₃	—	4	1	no	—
434	C₂×C₄×D₄₃	—	4	1	no	—
435	C₂×C₄×D₄₃	—	4	1	no	—
436	C₂×C₄×D₄₃	—	4	1	no	—
437	C₂×C₄×D₄₃	C₂²×C₄	1	4	yes	—
438	C₂×Dic₈₆	—	4	1	no	—
439	C₂×Dic₈₆	—	4	1	no	—
440	C₂×Dic₈₆	C₂²×C₄	1	4	yes	—
441	C₄⋊C₄×C₄₃	—	2	2	no	—
442	C₄⋊C₄×C₄₃	—	4	1	no	—
443	C₄⋊C₄×C₄₃	—	4	1	no	—
444	C₄⋊C₄×C₄₃	—	4	1	no	—
445	C₂²⋊C₄×C₄₃	—	2	2	no	—
446	C₂²⋊C₄×C₄₃	—	2	2	no	—
447	C₂²⋊C₄×C₄₃	—	4	1	no	—
448	C₂²⋊C₄×C₄₃	—	4	1	no	—
449	C₂²⋊C₄×C₄₃	—	4	1	no	—
450	C₂²⋊C₄×C₄₃	—	4	1	no	—
451	C₂²⋊C₄×C₄₃	—	4	1	no	—
452	C₂²⋊C₄×C₄₃	—	4	1	no	—
453	C₂²⋊C₄×C₄₃	—	4	1	no	—
454	C₂²⋊C₄×C₄₃	—	4	1	no	—
455	C₂²⋊C₄×C₄₃	C₂²×C₄	1	4	yes	—
456	C₂²⋊C₄×C₄₃	C₂²×C₄	1	4	yes	—
457	C₂²⋊C₄×C₄₃	C₂²×C₄	1	4	yes	—
458	C₂²⋊C₄×C₄₃	C₂²×C₄	1	4	yes	—
459	C₄²×C₄₃	—	2	2	no	—
460	C₄²×C₄₃	—	4	1	no	—
461	C₄²×C₄₃	—	4	1	no	—
462	C₄²×C₄₃	—	4	1	no	—
463	C₂²⋊Dic₄₃	—	4	1	no	—
464	C₂²⋊Dic₄₃	—	4	1	no	—
465	C₂²⋊Dic₄₃	—	4	1	no	—
466	C₂²⋊Dic₄₃	—	4	1	no	—
467	C₂²⋊Dic₄₃	—	4	1	no	—
468	C₂²⋊Dic₄₃	—	4	1	no	—
469	C₂²⋊Dic₄₃	—	4	1	no	—
470	C₂²⋊Dic₄₃	—	4	1	no	—
471	C₂²⋊Dic₄₃	—	4	1	no	—
472	C₂²⋊Dic₄₃	—	4	1	no	—
473	C₂²⋊Dic₄₃	—	4	1	no	—
474	C₂²⋊Dic₄₃	—	4	1	no	—
475	C₂²⋊Dic₄₃	C₂²×C₄	1	4	yes	—
476	C₂²⋊Dic₄₃	C₂²×C₄	1	4	yes	—
477	C₂²⋊Dic₄₃	C₂²×C₄	1	4	yes	—
478	C₂²⋊Dic₄₃	C₂²×C₄	1	4	yes	—
479	C₂²⋊Dic₄₃	C₂²×C₄	1	4	yes	—
480	C₂²⋊Dic₄₃	C₂²×C₄	1	4	yes	—
481	C₂²⋊Dic₄₃	C₂²×C₄	1	4	yes	—
482	(C₂×D₄₃)⋊C₄	—	4	1	no	—
483	(C₂×D₄₃)⋊C₄	—	4	1	no	—
484	(C₂×D₄₃)⋊C₄	—	4	1	no	—
485	(C₂×D₄₃)⋊C₄	—	4	1	no	—
486	(C₂×D₄₃)⋊C₄	—	4	1	no	—
487	(C₂×D₄₃)⋊C₄	—	4	1	no	—
488	(C₂×D₄₃)⋊C₄	C₂²×C₄	1	4	yes	—
489	(C₂×D₄₃)⋊C₄	C₂²×C₄	1	4	yes	—
490	(C₂×D₄₃)⋊C₄	C₂²×C₄	1	4	yes	—
491	C₄⋊Dic₄₃	—	4	1	no	—
492	C₄⋊Dic₄₃	—	4	1	no	—
493	C₄⋊Dic₄₃	—	4	1	no	—
494	C₄⋊Dic₄₃	—	4	1	no	—
495	C₄⋊Dic₄₃	C₂²×C₄	1	4	yes	—
496	C₄⋊Dic₄₃	C₂²×C₄	1	4	yes	—
497	C₄⋊Dic₄₃	C₂²×C₄	1	4	yes	—
498	Dic₄₃⋊C₄	—	2	2	no	—
499	Dic₄₃⋊C₄	—	4	1	no	—
500	Dic₄₃⋊C₄	—	4	1	no	—
501	Dic₄₃⋊C₄	—	4	1	no	—
502	Dic₄₃⋊C₄	—	4	1	no	—
503	Dic₄₃⋊C₄	—	4	1	no	—
504	Dic₄₃⋊C₄	—	4	1	no	—
505	Dic₄₃⋊C₄	—	4	1	no	—
506	Dic₄₃⋊C₄	—	4	1	no	—
507	Dic₄₃⋊C₄	—	4	1	no	—
508	Dic₄₃⋊C₄	—	4	1	no	—
509	Dic₄₃⋊C₄	—	4	1	no	—
510	Dic₄₃⋊C₄	—	4	1	no	—
511	Dic₄₃⋊C₄	—	4	1	no	—
512	Dic₄₃⋊C₄	C₂²×C₄	1	4	yes	—
513	Dic₄₃⋊C₄	C₂²×C₄	1	4	yes	—
514	Dic₄₃⋊C₄	C₂²×C₄	1	4	yes	—
515	Dic₄₃⋊C₄	C₂²×C₄	1	4	yes	—
516	Dic₄₃⋊C₄	C₂²×C₄	1	4	yes	—
517	C₄×Dic₄₃	—	2	2	no	—
518	C₄×Dic₄₃	—	2	2	no	—
519	C₄×Dic₄₃	—	4	1	no	—
520	C₄×Dic₄₃	—	4	1	no	—
521	C₄×Dic₄₃	—	4	1	no	—
522	C₄×Dic₄₃	—	4	1	no	—
523	C₄×Dic₄₃	—	4	1	no	—
524	C₄×Dic₄₃	—	4	1	no	—
525	C₄×Dic₄₃	—	4	1	no	—
526	C₄×Dic₄₃	—	4	1	no	—
527	C₄×Dic₄₃	—	4	1	no	—
528	C₄×Dic₄₃	—	4	1	no	—
529	C₄×Dic₄₃	—	4	1	no	—
530	C₄×Dic₄₃	—	4	1	no	—
531	C₄×Dic₄₃	—	4	1	no	—
532	C₄×Dic₄₃	—	4	1	no	—
533	C₄×Dic₄₃	—	4	1	no	—
534	C₄×Dic₄₃	—	4	1	no	—
535	C₄×Dic₄₃	C₂²×C₄	1	4	yes	—
536	C₄×Dic₄₃	C₂²×C₄	1	4	yes	—
537	C₄×Dic₄₃	C₂²×C₄	1	4	yes	—
538	C₂³×C₄₃	—	2	1	no	—
539	C₂³×C₄₃	—	2	1	no	—
540	C₂³×C₄₃	—	2	1	no	—
541	C₂³×C₄₃	—	2	1	no	—
542	C₂³×C₄₃	—	2	1	no	—
543	C₂³×C₄₃	—	2	1	no	—
544	C₂³×C₄₃	—	2	1	no	—
545	C₂³×C₄₃	—	2	1	no	—
546	C₂³×C₄₃	—	2	1	no	—
547	C₂³×C₄₃	—	2	1	no	—
548	C₂³×C₄₃	—	2	1	no	—
549	C₂³×C₄₃	—	2	1	no	—
550	C₂³×C₄₃	—	2	1	no	—
551	C₂³×C₄₃	—	2	1	no	—
552	C₂³×C₄₃	—	2	1	no	—
553	C₂³×C₄₃	—	2	1	no	—
554	C₂³×C₄₃	—	2	1	no	—
555	C₂³×C₄₃	—	2	1	no	—
556	C₂³×C₄₃	—	4	4	no	—
557	C₂³×C₄₃	—	4	4	no	—
558	C₂³×C₄₃	—	4	4	no	—
559	C₂³×C₄₃	—	8	2	no	—
560	C₂³×C₄₃	—	8	2	no	—
561	C₂³×C₄₃	—	8	2	no	—
562	C₂³×C₄₃	—	8	2	no	—
563	C₂³×C₄₃	C₂³×C₄	1	2	yes	—
564	C₂³×C₄₃	C₂³×C₄	1	2	yes	—
565	C₂³×C₄₃	C₂³×C₄	1	2	yes	—
566	C₂³×C₄₃	C₂⁵	1	1	yes	characteristic
567	C₂²×D₄₃	—	2	1	no	—
568	C₂²×D₄₃	—	2	1	no	—
569	C₂²×D₄₃	—	2	1	no	—
570	C₂²×D₄₃	—	2	1	no	—
571	C₂²×D₄₃	—	2	1	no	—
572	C₂²×D₄₃	—	2	1	no	—
573	C₂²×D₄₃	C₂³×C₄	1	2	yes	—
574	C₂×C₄×C₄₃	—	2	1	no	—
575	C₂×C₄×C₄₃	—	2	1	no	—
576	C₂×C₄×C₄₃	—	2	1	no	—
577	C₂×C₄×C₄₃	—	2	1	no	—
578	C₂×C₄×C₄₃	—	2	1	no	—
579	C₂×C₄×C₄₃	—	2	1	no	—
580	C₂×C₄×C₄₃	—	2	1	no	—
581	C₂×C₄×C₄₃	—	2	1	no	—
582	C₂×C₄×C₄₃	—	2	1	no	—
583	C₂×C₄×C₄₃	—	2	1	no	—
584	C₂×C₄×C₄₃	—	2	1	no	—
585	C₂×C₄×C₄₃	—	2	1	no	—
586	C₂×C₄×C₄₃	—	2	1	no	—
587	C₂×C₄×C₄₃	—	2	1	no	—
588	C₂×C₄×C₄₃	—	2	1	no	—
589	C₂×C₄×C₄₃	—	2	1	no	—
590	C₂×C₄×C₄₃	—	2	1	no	—
591	C₂×C₄×C₄₃	—	2	1	no	—
592	C₂×C₄×C₄₃	—	2	1	no	—
593	C₂×C₄×C₄₃	—	2	1	no	—
594	C₂×C₄×C₄₃	—	2	1	no	—
595	C₂×C₄×C₄₃	—	2	1	no	—
596	C₂×C₄×C₄₃	—	2	1	no	—
597	C₂×C₄×C₄₃	—	2	1	no	—
598	C₂×C₄×C₄₃	—	2	1	no	—
599	C₂×C₄×C₄₃	—	2	1	no	—
600	C₂×C₄×C₄₃	—	2	1	no	—
601	C₂×C₄×C₄₃	—	2	1	no	—
602	C₂×C₄×C₄₃	—	2	1	no	—
603	C₂×C₄×C₄₃	—	2	1	no	—
604	C₂×C₄×C₄₃	—	2	1	no	—
605	C₂×C₄×C₄₃	—	4	4	no	—
606	C₂×C₄×C₄₃	—	4	4	no	—
607	C₂×C₄×C₄₃	—	8	2	no	—
608	C₂×C₄×C₄₃	—	8	2	no	—
609	C₂×C₄×C₄₃	C₂³×C₄	1	2	yes	—
610	C₂×C₄×C₄₃	C₂³×C₄	1	2	yes	—
611	C₂×C₄×C₄₃	C₂³×C₄	1	2	yes	—
612	C₂×C₄×C₄₃	C₂³×C₄	1	2	yes	—
613	C₂×C₄×C₄₃	H(5,𝔽₂)	1	2	yes	—
614	C₂²⋊D₄₃	—	4	4	no	—
615	C₂²⋊D₄₃	—	4	4	no	—
616	C₂²⋊D₄₃	—	4	4	no	—
617	C₂×Dic₄₃	—	2	1	no	—
618	C₂×Dic₄₃	—	2	1	no	—
619	C₂×Dic₄₃	—	2	1	no	—
620	C₂×Dic₄₃	—	2	1	no	—
621	C₂×Dic₄₃	—	2	1	no	—
622	C₂×Dic₄₃	—	2	1	no	—
623	C₂×Dic₄₃	—	2	1	no	—
624	C₂×Dic₄₃	—	2	1	no	—
625	C₂×Dic₄₃	—	2	1	no	—
626	C₂×Dic₄₃	—	2	1	no	—
627	C₂×Dic₄₃	—	2	1	no	—
628	C₂×Dic₄₃	—	2	1	no	—
629	C₂×Dic₄₃	—	2	1	no	—
630	C₂×Dic₄₃	—	2	1	no	—
631	C₂×Dic₄₃	—	2	1	no	—
632	C₂×Dic₄₃	—	2	1	no	—
633	C₂×Dic₄₃	—	2	1	no	—
634	C₂×Dic₄₃	—	2	1	no	—
635	C₂×Dic₄₃	—	2	1	no	—
636	C₂×Dic₄₃	—	2	1	no	—
637	C₂×Dic₄₃	—	2	1	no	—
638	C₂×Dic₄₃	—	2	1	no	—
639	C₂×Dic₄₃	—	2	1	no	—
640	C₂×Dic₄₃	—	2	1	no	—
641	C₂×Dic₄₃	—	2	1	no	—
642	C₂×Dic₄₃	—	2	1	no	—
643	C₂×Dic₄₃	—	2	1	no	—
644	C₂×Dic₄₃	—	2	1	no	—
645	C₂×Dic₄₃	—	2	1	no	—
646	C₂×Dic₄₃	—	2	1	no	—
647	C₂×Dic₄₃	—	2	1	no	—
648	C₂×Dic₄₃	—	2	1	no	—
649	C₂×Dic₄₃	—	2	1	no	—
650	C₂×Dic₄₃	—	2	1	no	—
651	C₂×Dic₄₃	—	2	1	no	—
652	C₂×Dic₄₃	—	2	1	no	—
653	C₂×Dic₄₃	—	2	1	no	—
654	C₂×Dic₄₃	—	2	1	no	—
655	C₂×Dic₄₃	—	4	4	no	—
656	C₂×Dic₄₃	—	4	4	no	—
657	C₂×Dic₄₃	C₂³×C₄	1	2	yes	—
658	C₂×Dic₄₃	C₂³×C₄	1	2	yes	—
659	C₂×Dic₄₃	C₂³×C₄	1	2	yes	—
660	C₂×Dic₄₃	C₂³×C₄	1	2	yes	—
661	C₂×Dic₄₃	C₂³×C₄	1	2	yes	—
662	C₂×Dic₄₃	C₂³×C₄	1	2	yes	—
663	C₂×Dic₄₃	C₂³×C₄	1	2	yes	—
664	C₄×D₄₃	—	4	4	no	—
665	C₄×D₄₃	—	4	4	no	—
666	C₄×D₄₃	—	4	4	no	—
667	Dic₈₆	—	4	4	no	—
668	#34508	—	43	1	no	maximal, Sylow
669	C₂²×C₄₃	—	2	2	no	—
670	C₂²×C₄₃	—	2	2	no	—
671	C₂²×C₄₃	—	2	2	no	—
672	C₂²×C₄₃	—	2	2	no	—
673	C₂²×C₄₃	—	2	2	no	—
674	C₂²×C₄₃	—	2	2	no	—
675	C₂²×C₄₃	—	2	2	no	—
676	C₂²×C₄₃	—	2	2	no	—
677	C₂²×C₄₃	—	2	2	no	—
678	C₂²×C₄₃	—	4	1	no	—
679	C₂²×C₄₃	—	4	1	no	—
680	C₂²×C₄₃	—	4	1	no	—
681	C₂²×C₄₃	—	4	1	no	—
682	C₂²×C₄₃	—	4	1	no	—
683	C₂²×C₄₃	—	4	1	no	—
684	C₂²×C₄₃	—	4	1	no	—
685	C₂²×C₄₃	—	4	1	no	—
686	C₂²×C₄₃	—	4	1	no	—
687	C₂²×C₄₃	—	4	1	no	—
688	C₂²×C₄₃	—	4	1	no	—
689	C₂²×C₄₃	—	4	1	no	—
690	C₂²×C₄₃	—	8	8	no	—
691	C₂²×C₄₃	C₂⁴×C₄	1	1	yes	characteristic
692	C₂²×C₄₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
693	C₂²×C₄₃	#585	1	1	yes	characteristic
694	C₂²×C₄₃	#585	1	1	yes	characteristic
695	C₂²×C₄₃	#585	1	1	yes	characteristic
696	C₂²×C₄₃	#585	1	1	yes	characteristic
697	C₂²×C₄₃	#585	1	1	yes	characteristic
698	C₂×D₄₃	—	2	2	no	—
699	C₂×D₄₃	—	2	2	no	—
700	C₂×D₄₃	—	2	2	no	—
701	C₂×D₄₃	—	4	1	no	—
702	C₂×D₄₃	—	4	1	no	—
703	C₂×D₄₃	—	4	1	no	—
704	C₂×D₄₃	—	4	1	no	—
705	C₄×C₄₃	—	2	2	no	—
706	C₄×C₄₃	—	2	2	no	—
707	C₄×C₄₃	—	2	2	no	—
708	C₄×C₄₃	—	2	2	no	—
709	C₄×C₄₃	—	2	2	no	—
710	C₄×C₄₃	—	4	1	no	—
711	C₄×C₄₃	—	4	1	no	—
712	C₄×C₄₃	—	4	1	no	—
713	C₄×C₄₃	—	4	1	no	—
714	C₄×C₄₃	—	4	1	no	—
715	C₄×C₄₃	—	4	1	no	—
716	C₄×C₄₃	—	4	1	no	—
717	Dic₄₃	—	2	2	no	—
718	Dic₄₃	—	2	2	no	—
719	Dic₄₃	—	2	2	no	—
720	Dic₄₃	—	2	2	no	—
721	Dic₄₃	—	2	2	no	—
722	Dic₄₃	—	2	2	no	—
723	Dic₄₃	—	2	2	no	—
724	Dic₄₃	—	4	1	no	—
725	Dic₄₃	—	4	1	no	—
726	Dic₄₃	—	4	1	no	—
727	Dic₄₃	—	4	1	no	—
728	Dic₄₃	—	4	1	no	—
729	Dic₄₃	—	4	1	no	—
730	Dic₄₃	—	4	1	no	—
731	Dic₄₃	—	4	1	no	—
732	C₂×#551	—	43	1	no	—
733	#2379	—	43	1	no	—
734	#2376	—	43	1	no	—
735	#2376	—	43	1	no	—
736	#2375	—	43	1	no	—
737	#2374	—	43	1	no	—
738	#2373	—	43	1	no	—
739	#2373	—	43	1	no	—
740	#2362	—	43	1	no	—
741	#2362	—	43	1	no	—
742	#2357	—	43	1	no	—
743	#2357	—	43	1	no	—
744	#2346	—	43	1	no	—
745	#2346	—	43	1	no	—
746	#2342	—	43	1	no	—
747	#2342	D₄₃	1	1	yes	characteristic, complemented
748	#2335	—	43	1	no	—
749	#2335	—	43	1	no	—
750	#2334	—	43	1	no	—
751	#2334	—	43	1	no	—
752	#2332	—	43	1	no	—
753	#2332	—	43	1	no	—
754	#2326	—	43	1	no	—
755	#2321	—	43	1	no	—
756	#2314	—	43	1	no	—
757	#2314	—	43	1	no	—
758	#2312	—	43	1	no	—
759	#2312	—	43	1	no	—
760	C₄×#123	—	43	1	no	—
761	#2290	—	43	1	no	—
762	#2290	—	43	1	no	—
763	C₂×C₄₃	—	4	2	no	—
764	C₂×C₄₃	—	4	2	no	—
765	C₂×C₄₃	—	4	2	no	—
766	C₂×C₄₃	#3428	1	1	yes	characteristic
767	C₂×C₄₃	#3428	1	1	yes	characteristic
768	C₂×C₄₃	C₄×H(5,𝔽₂)	1	1	yes	characteristic
769	C₂×C₄₃	#3533	1	1	yes	characteristic
770	C₂×C₄₃	#3540	1	1	yes	characteristic
771	C₂×C₄₃	#3566	1	1	yes	characteristic
772	C₂×C₄₃	#3566	1	1	yes	characteristic
773	D₄₃	—	4	2	no	—
774	#551	—	43	16	no	—
775	C₂×#126	—	43	1	no	—
776	C₂×#126	—	43	1	no	—
777	C₂×#124	—	43	1	no	—
778	C₂×#123	—	43	1	no	—
779	C₂×#123	—	43	1	no	—
780	C₂×#123	—	43	1	no	—
781	C₂×C₂²⋊Q₈	—	43	1	no	—
782	C₂×C₂²⋊Q₈	—	43	1	no	—
783	C₂×#120	—	43	1	no	—
784	C₂×C₄×Q₈	—	43	1	no	—
785	C₂×C₄×D₄	—	43	1	no	—
786	C₂×C₄×D₄	—	43	1	no	—
787	C₂×C₄×D₄	—	43	1	no	—
788	C₂×#117	—	43	1	no	—
789	C₂×#117	—	43	1	no	—
790	C₂×#117	—	43	1	no	—
791	C₂×#117	C₂×D₄₃	1	1	yes	characteristic
792	C₂²×C₂²⋊C₄	—	43	1	no	—
793	C₂²×C₂²⋊C₄	C₂×D₄₃	1	1	yes	characteristic
794	C₂²×C₂²⋊C₄	C₂×D₄₃	1	1	yes	characteristic
795	C₂²×C₄²	—	43	1	no	—
796	#391	—	43	1	no	—
797	#391	—	43	1	no	—
798	#391	—	43	1	no	—
799	#390	—	43	1	no	—
800	#390	—	43	1	no	—
801	#390	—	43	1	no	—
802	#390	—	43	1	no	—
803	#390	—	43	1	no	—
804	#389	—	43	1	no	—
805	#389	—	43	1	no	—
806	#389	—	43	1	no	—
807	#389	—	43	1	no	—
808	#389	—	43	1	no	—
809	#389	—	43	1	no	—
810	#388	—	43	1	no	—
811	#388	—	43	1	no	—
812	#388	—	43	1	no	—
813	#388	—	43	1	no	—
814	#388	—	43	1	no	—
815	#388	—	43	1	no	—
816	#388	—	43	1	no	—
817	#388	—	43	1	no	—
818	#388	—	43	1	no	—
819	#388	—	43	1	no	—
820	#388	—	43	1	no	—
821	#388	—	43	1	no	—
822	#388	—	43	1	no	—
823	#388	—	43	1	no	—
824	#388	—	43	1	no	—
825	#388	—	43	1	no	—
826	#388	—	43	1	no	—
827	#388	—	43	1	no	—
828	#388	—	43	1	no	—
829	#388	—	43	1	no	—
830	#388	—	43	1	no	—
831	#388	—	43	1	no	—
832	#388	—	43	1	no	—
833	#388	—	43	1	no	—
834	#388	—	43	1	no	—
835	#388	—	43	1	no	—
836	#388	—	43	1	no	—
837	#388	—	43	1	no	—
838	#388	—	43	1	no	—
839	#388	—	43	1	no	—
840	#388	—	43	1	no	—
841	#388	—	43	1	no	—
842	#388	—	43	1	no	—
843	#388	—	43	1	no	—
844	#388	—	43	1	no	—
845	#388	—	43	1	no	—
846	#388	C₂×D₄₃	1	1	yes	characteristic
847	#388	C₂×D₄₃	1	1	yes	characteristic
848	#388	C₂×D₄₃	1	1	yes	characteristic
849	#388	C₂×D₄₃	1	1	yes	characteristic
850	#387	—	43	1	no	—
851	#387	—	43	1	no	—
852	#387	—	43	1	no	—
853	#387	—	43	1	no	—
854	#387	—	43	1	no	—
855	#387	—	43	1	no	—
856	#387	—	43	1	no	—
857	#387	—	43	1	no	—
858	#387	—	43	1	no	—
859	#387	—	43	1	no	—
860	#387	—	43	1	no	—
861	#387	—	43	1	no	—
862	#387	—	43	1	no	—
863	#387	—	43	1	no	—
864	#387	—	43	1	no	—
865	#387	—	43	1	no	—
866	#386	—	43	1	no	—
867	#386	—	43	1	no	—
868	#386	—	43	1	no	—
869	#386	—	43	1	no	—
870	#386	—	43	1	no	—
871	#386	—	43	1	no	—
872	#385	—	43	1	no	—
873	#385	—	43	1	no	—
874	#385	—	43	1	no	—
875	#385	—	43	1	no	—
876	#385	—	43	1	no	—
877	#385	—	43	1	no	—
878	#385	—	43	1	no	—
879	#385	—	43	1	no	—
880	#385	C₂×D₄₃	1	1	yes	characteristic
881	#385	C₂×D₄₃	1	1	yes	characteristic
882	#384	—	43	1	no	—
883	#382	—	43	1	no	—
884	#382	—	43	1	no	—
885	#382	—	43	1	no	—
886	#382	—	43	1	no	—
887	#381	—	43	1	no	—
888	#381	—	43	1	no	—
889	#381	C₂×D₄₃	1	1	yes	characteristic
890	#380	—	43	1	no	—
891	#380	—	43	1	no	—
892	#380	—	43	1	no	—
893	#380	—	43	1	no	—
894	#380	—	43	1	no	—
895	#380	C₂×D₄₃	1	1	yes	characteristic
896	#379	—	43	1	no	—
897	#379	—	43	1	no	—
898	#379	C₂×D₄₃	1	1	yes	characteristic
899	C₄×C₄⋊C₄	—	43	1	no	—
900	C₄×C₄⋊C₄	—	43	1	no	—
901	C₄×C₄⋊C₄	—	43	1	no	—
902	C₄×C₄⋊C₄	—	43	1	no	—
903	C₄×C₄⋊C₄	—	43	1	no	—
904	C₄×C₄⋊C₄	—	43	1	no	—
905	C₄×C₄⋊C₄	—	43	1	no	—
906	C₄×C₄⋊C₄	—	43	1	no	—
907	C₄×C₄⋊C₄	—	43	1	no	—
908	C₄×C₄⋊C₄	—	43	1	no	—
909	C₄×C₄⋊C₄	—	43	1	no	—
910	C₄×C₄⋊C₄	—	43	1	no	—
911	C₄×C₄⋊C₄	—	43	1	no	—
912	C₄×C₄⋊C₄	—	43	1	no	—
913	C₄×C₂²⋊C₄	—	43	1	no	—
914	C₄×C₂²⋊C₄	—	43	1	no	—
915	C₄×C₂²⋊C₄	—	43	1	no	—
916	C₄×C₂²⋊C₄	—	43	1	no	—
917	C₄×C₂²⋊C₄	—	43	1	no	—
918	C₄×C₂²⋊C₄	—	43	1	no	—
919	C₄×C₂²⋊C₄	—	43	1	no	—
920	C₄×C₂²⋊C₄	—	43	1	no	—
921	C₄×C₂²⋊C₄	—	43	1	no	—
922	C₄×C₂²⋊C₄	—	43	1	no	—
923	C₄×C₂²⋊C₄	—	43	1	no	—
924	C₄×C₂²⋊C₄	C₂×D₄₃	1	1	yes	characteristic
925	C₄×C₂²⋊C₄	C₂×D₄₃	1	1	yes	characteristic
926	C₄×C₂²⋊C₄	C₂×D₄₃	1	1	yes	characteristic
927	#376	—	43	1	no	—
928	#376	—	43	1	no	—
929	#376	—	43	1	no	—
930	C₄₃	#34508	1	1	yes	characteristic, complemented, Sylow
931	C₂⁵	C₂²×D₄₃	1	1	yes	characteristic
932	C₂²×Q₈	—	43	1	no	—
933	C₂²×D₄	—	43	1	no	—
934	C₂²×D₄	—	43	1	no	—
935	C₂²×D₄	—	43	1	no	—
936	C₂³×C₄	—	43	1	no	—
937	C₂³×C₄	—	43	1	no	—
938	C₂³×C₄	—	43	1	no	—
939	C₂³×C₄	—	43	1	no	—
940	C₂³×C₄	—	43	1	no	—
941	C₂³×C₄	C₂²×D₄₃	1	1	yes	characteristic
942	C₂³×C₄	C₂²×D₄₃	1	1	yes	characteristic
943	C₂³×C₄	C₂²×D₄₃	1	1	yes	characteristic
944	C₂³×C₄	C₂²×D₄₃	1	1	yes	characteristic
945	#126	—	43	8	no	—
946	#126	—	43	8	no	—
947	#124	—	43	8	no	—
948	#123	—	43	8	no	—
949	#123	—	43	8	no	—
950	#123	—	43	8	no	—
951	C₂²⋊Q₈	—	43	8	no	—
952	C₂²⋊Q₈	—	43	8	no	—
953	#120	—	43	8	no	—
954	C₄×Q₈	—	172	2	no	—
955	C₄×D₄	—	43	8	no	—
956	C₄×D₄	—	43	8	no	—
957	C₄×D₄	—	172	2	no	—
958	#117	—	4	2	no	—
959	#117	—	43	8	no	—
960	#117	—	43	8	no	—
961	#117	—	172	2	no	—
962	C₂×C₄⋊C₄	—	43	1	no	—
963	C₂×C₄⋊C₄	—	43	1	no	—
964	C₂×C₄⋊C₄	—	43	1	no	—
965	C₂×C₄⋊C₄	—	43	1	no	—
966	C₂×C₄⋊C₄	—	43	1	no	—
967	C₂×C₄⋊C₄	—	43	1	no	—
968	C₂×C₄⋊C₄	—	43	1	no	—
969	C₂×C₄⋊C₄	—	43	1	no	—
970	C₂×C₄⋊C₄	—	43	1	no	—
971	C₂×C₄⋊C₄	—	43	1	no	—
972	C₂×C₄⋊C₄	—	43	1	no	—
973	C₂×C₄⋊C₄	—	43	1	no	—
974	C₂×C₄⋊C₄	—	43	1	no	—
975	C₂×C₄⋊C₄	—	43	1	no	—
976	C₂×C₄⋊C₄	—	43	1	no	—
977	C₂×C₄⋊C₄	—	43	1	no	—
978	C₂×C₄⋊C₄	—	43	1	no	—
979	C₂×C₄⋊C₄	—	43	1	no	—
980	C₂×C₄⋊C₄	—	43	1	no	—
981	C₂×C₄⋊C₄	—	43	1	no	—
982	C₂×C₄⋊C₄	—	43	1	no	—
983	C₂×C₄⋊C₄	—	43	1	no	—
984	C₂×C₄⋊C₄	—	43	1	no	—
985	C₂×C₄⋊C₄	—	43	1	no	—
986	C₂×C₄⋊C₄	—	43	1	no	—
987	C₂×C₄⋊C₄	—	43	1	no	—
988	C₂×C₄⋊C₄	C₂²×D₄₃	1	1	yes	characteristic
989	C₂×C₄⋊C₄	C₂²×D₄₃	1	1	yes	characteristic
990	C₂×C₄⋊C₄	C₂²×D₄₃	1	1	yes	characteristic
991	C₂×C₄⋊C₄	C₂²×D₄₃	1	1	yes	characteristic
992	C₂×C₂²⋊C₄	—	4	2	no	—
993	C₂×C₂²⋊C₄	—	43	8	no	—
994	C₂×C₂²⋊C₄	—	43	1	no	—
995	C₂×C₂²⋊C₄	—	43	1	no	—
996	C₂×C₂²⋊C₄	—	43	1	no	—
997	C₂×C₂²⋊C₄	—	43	1	no	—
998	C₂×C₂²⋊C₄	—	43	1	no	—
999	C₂×C₂²⋊C₄	—	43	1	no	—
1000	C₂×C₂²⋊C₄	—	43	1	no	—
1001	C₂×C₂²⋊C₄	—	43	1	no	—
1002	C₂×C₂²⋊C₄	—	43	1	no	—
1003	C₂×C₂²⋊C₄	—	43	1	no	—
1004	C₂×C₂²⋊C₄	—	43	1	no	—
1005	C₂×C₂²⋊C₄	—	43	1	no	—
1006	C₂×C₂²⋊C₄	—	43	1	no	—
1007	C₂×C₂²⋊C₄	—	43	1	no	—
1008	C₂×C₂²⋊C₄	—	43	1	no	—
1009	C₂×C₂²⋊C₄	—	43	1	no	—
1010	C₂×C₂²⋊C₄	—	43	1	no	—
1011	C₂×C₂²⋊C₄	—	43	1	no	—
1012	C₂×C₂²⋊C₄	—	43	1	no	—
1013	C₂×C₂²⋊C₄	—	43	1	no	—
1014	C₂×C₂²⋊C₄	—	43	1	no	—
1015	C₂×C₂²⋊C₄	—	43	1	no	—
1016	C₂×C₂²⋊C₄	—	43	1	no	—
1017	C₂×C₂²⋊C₄	—	43	1	no	—
1018	C₂×C₂²⋊C₄	—	43	1	no	—
1019	C₂×C₂²⋊C₄	—	43	1	no	—
1020	C₂×C₂²⋊C₄	—	43	1	no	—
1021	C₂×C₂²⋊C₄	—	43	1	no	—
1022	C₂×C₂²⋊C₄	C₄×D₄₃	1	8	yes	complemented
1023	C₂×C₂²⋊C₄	C₂²×D₄₃	1	1	yes	characteristic
1024	C₂×C₂²⋊C₄	C₂²×D₄₃	1	1	yes	characteristic
1025	C₂×C₂²⋊C₄	C₂²×D₄₃	1	1	yes	characteristic
1026	C₂×C₂²⋊C₄	C₂²×D₄₃	1	1	yes	characteristic
1027	C₂×C₂²⋊C₄	C₂²×D₄₃	1	1	yes	characteristic
1028	C₂×C₂²⋊C₄	C₂²×D₄₃	1	1	yes	characteristic
1029	C₂×C₂²⋊C₄	C₂²×D₄₃	1	1	yes	characteristic
1030	C₂×C₂²⋊C₄	C₂²×D₄₃	1	1	yes	characteristic
1031	C₂×C₂²⋊C₄	C₂²×D₄₃	1	1	yes	characteristic
1032	C₂×C₂²⋊C₄	C₂²×D₄₃	1	1	yes	characteristic
1033	C₂×C₂²⋊C₄	C₂²×D₄₃	1	1	yes	characteristic
1034	C₂×C₂²⋊C₄	C₂²×D₄₃	1	1	yes	characteristic
1035	C₂×C₂²⋊C₄	C₂²×D₄₃	1	1	yes	characteristic
1036	C₂×C₂²⋊C₄	C₂²×D₄₃	1	1	yes	characteristic
1037	C₂×C₄²	—	43	1	no	—
1038	C₂×C₄²	—	43	1	no	—
1039	C₂×C₄²	—	43	1	no	—
1040	C₂×C₄²	—	43	1	no	—
1041	C₂×C₄²	—	43	1	no	—
1042	C₂×C₄²	—	43	1	no	—
1043	C₂×C₄²	—	43	1	no	—
1044	C₂×C₄²	—	43	1	no	—
1045	C₂×C₄²	—	43	1	no	—
1046	C₂×C₄²	—	43	1	no	—
1047	C₂×C₄²	—	43	1	no	—
1048	C₂×C₄²	—	43	1	no	—
1049	C₂×C₄²	—	43	1	no	—
1050	C₂×C₄²	—	43	1	no	—
1051	C₂×C₄²	—	43	1	no	—
1052	C₂×C₄²	—	43	1	no	—
1053	C₂×C₄²	—	43	1	no	—
1054	C₂×C₄²	—	43	1	no	—
1055	C₂×C₄²	—	43	1	no	—
1056	C₂×C₄²	—	43	1	no	—
1057	C₂×C₄²	—	43	1	no	—
1058	C₂×C₄²	—	172	2	no	—
1059	C₂×C₄²	C₂²×D₄₃	1	1	yes	characteristic
1060	C₂×C₄²	C₂²×D₄₃	1	1	yes	characteristic
1061	C₂×C₄²	C₂²×D₄₃	1	1	yes	characteristic
1062	C₂×C₄²	C₂²×D₄₃	1	1	yes	characteristic
1063	#95	—	43	1	no	—
1064	#95	—	43	1	no	—
1065	#95	—	43	1	no	—
1066	#95	—	43	1	no	—
1067	#95	—	43	1	no	—
1068	#95	—	43	1	no	—
1069	#95	—	43	1	no	—
1070	#95	—	43	1	no	—
1071	#95	—	43	1	no	—
1072	#95	—	43	1	no	—
1073	#95	—	43	1	no	—
1074	#95	—	43	1	no	—
1075	#95	—	43	1	no	—
1076	#95	—	43	1	no	—
1077	#95	—	43	1	no	—
1078	#95	—	43	1	no	—
1079	#95	—	43	1	no	—
1080	#95	—	43	1	no	—
1081	#95	—	43	1	no	—
1082	#95	—	43	1	no	—
1083	#95	—	43	1	no	—
1084	#95	—	43	1	no	—
1085	#95	—	43	1	no	—
1086	#95	—	43	1	no	—
1087	#95	—	43	1	no	—
1088	#95	—	43	1	no	—
1089	#95	—	43	1	no	—
1090	#95	—	43	1	no	—
1091	#95	—	43	1	no	—
1092	#95	—	43	1	no	—
1093	#95	—	43	1	no	—
1094	#95	—	43	1	no	—
1095	#95	—	43	1	no	—
1096	#95	—	43	1	no	—
1097	#95	—	43	1	no	—
1098	#95	—	43	1	no	—
1099	#95	C₂²×D₄₃	1	1	yes	characteristic
1100	#95	C₂²×D₄₃	1	1	yes	characteristic
1101	#95	C₂²×D₄₃	1	1	yes	characteristic
1102	#95	C₂²×D₄₃	1	1	yes	characteristic
1103	#95	C₂²×D₄₃	1	1	yes	characteristic
1104	#95	C₂²×D₄₃	1	1	yes	characteristic
1105	#95	C₂²×D₄₃	1	1	yes	characteristic
1106	#95	C₂²×D₄₃	1	1	yes	characteristic
1107	C₂⁴	—	4	1	no	—
1108	C₂⁴	—	4	1	no	—
1109	C₂⁴	—	4	1	no	—
1110	C₂⁴	—	4	1	no	—
1111	C₂⁴	—	4	1	no	—
1112	C₂⁴	—	4	1	no	—
1113	C₂⁴	—	43	1	no	—
1114	C₂⁴	C₂×C₄×D₄₃	1	4	yes	—
1115	C₂⁴	C₂³×D₄₃	1	1	yes	characteristic
1116	C₂⁴	C₂³×D₄₃	1	1	yes	characteristic
1117	C₂⁴	C₂³×D₄₃	1	1	yes	characteristic
1118	C₂×Q₈	—	43	4	no	—
1119	C₂×Q₈	—	172	1	no	—
1120	C₂×Q₈	—	172	1	no	—
1121	C₂×D₄	—	43	4	no	—
1122	C₂×D₄	—	43	4	no	—
1123	C₂×D₄	—	43	4	no	—
1124	C₂×D₄	—	172	1	no	—
1125	C₂×D₄	—	172	1	no	—
1126	C₂×D₄	—	172	1	no	—
1127	C₂×D₄	—	172	1	no	—
1128	C₂×D₄	—	172	1	no	—
1129	C₂×D₄	—	172	1	no	—
1130	C₂²×C₄	—	2	2	no	—
1131	C₂²×C₄	—	4	1	no	—
1132	C₂²×C₄	—	4	1	no	—
1133	C₂²×C₄	—	4	1	no	—
1134	C₂²×C₄	—	4	1	no	—
1135	C₂²×C₄	—	4	1	no	—
1136	C₂²×C₄	—	4	1	no	—
1137	C₂²×C₄	—	4	1	no	—
1138	C₂²×C₄	—	4	1	no	—
1139	C₂²×C₄	—	4	1	no	—
1140	C₂²×C₄	—	43	1	no	—
1141	C₂²×C₄	—	43	1	no	—
1142	C₂²×C₄	—	43	1	no	—
1143	C₂²×C₄	—	43	1	no	—
1144	C₂²×C₄	—	43	1	no	—
1145	C₂²×C₄	—	43	1	no	—
1146	C₂²×C₄	—	43	1	no	—
1147	C₂²×C₄	—	43	4	no	—
1148	C₂²×C₄	—	43	4	no	—
1149	C₂²×C₄	—	43	4	no	—
1150	C₂²×C₄	—	43	1	no	—
1151	C₂²×C₄	—	43	1	no	—
1152	C₂²×C₄	—	43	1	no	—
1153	C₂²×C₄	—	43	1	no	—
1154	C₂²×C₄	—	43	1	no	—
1155	C₂²×C₄	—	43	1	no	—
1156	C₂²×C₄	—	43	1	no	—
1157	C₂²×C₄	—	43	1	no	—
1158	C₂²×C₄	—	86	2	no	—
1159	C₂²×C₄	—	172	1	no	—
1160	C₂²×C₄	—	172	1	no	—
1161	C₂²×C₄	—	172	1	no	—
1162	C₂²×C₄	—	172	1	no	—
1163	C₂²×C₄	—	172	1	no	—
1164	C₂²×C₄	—	172	1	no	—
1165	C₂²×C₄	—	172	1	no	—
1166	C₂²×C₄	—	172	1	no	—
1167	C₂²×C₄	—	172	1	no	—
1168	C₂²×C₄	—	172	1	no	—
1169	C₂²×C₄	—	172	1	no	—
1170	C₂²×C₄	C₂×C₄×D₄₃	1	4	yes	—
1171	C₂²×C₄	C₂×C₄×D₄₃	1	4	yes	—
1172	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
1173	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
1174	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
1175	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
1176	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
1177	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
1178	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
1179	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
1180	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
1181	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
1182	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
1183	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
1184	C₄⋊C₄	—	2	2	no	—
1185	C₄⋊C₄	—	4	1	no	—
1186	C₄⋊C₄	—	4	1	no	—
1187	C₄⋊C₄	—	4	1	no	—
1188	C₄⋊C₄	—	43	4	no	—
1189	C₄⋊C₄	—	43	4	no	—
1190	C₄⋊C₄	—	43	4	no	—
1191	C₄⋊C₄	—	43	4	no	—
1192	C₄⋊C₄	—	43	4	no	—
1193	C₄⋊C₄	—	43	4	no	—
1194	C₄⋊C₄	—	43	4	no	—
1195	C₄⋊C₄	—	43	4	no	—
1196	C₄⋊C₄	—	86	2	no	—
1197	C₄⋊C₄	—	172	1	no	—
1198	C₄⋊C₄	—	172	1	no	—
1199	C₄⋊C₄	—	172	1	no	—
1200	C₄⋊C₄	—	172	1	no	—
1201	C₄⋊C₄	—	172	1	no	—
1202	C₄⋊C₄	—	172	1	no	—
1203	C₄⋊C₄	—	172	1	no	—
1204	C₄⋊C₄	—	172	1	no	—
1205	C₄⋊C₄	—	172	1	no	—
1206	C₄⋊C₄	—	172	1	no	—
1207	C₄⋊C₄	—	172	1	no	—
1208	C₄⋊C₄	—	172	1	no	—
1209	C₄⋊C₄	—	172	1	no	—
1210	C₄⋊C₄	—	172	1	no	—
1211	C₄⋊C₄	—	172	1	no	—
1212	C₄⋊C₄	—	172	1	no	—
1213	C₄⋊C₄	—	172	1	no	—
1214	C₂²⋊C₄	—	2	2	no	—
1215	C₂²⋊C₄	—	2	2	no	—
1216	C₂²⋊C₄	—	4	1	no	—
1217	C₂²⋊C₄	—	4	1	no	—
1218	C₂²⋊C₄	—	4	1	no	—
1219	C₂²⋊C₄	—	4	1	no	—
1220	C₂²⋊C₄	—	4	1	no	—
1221	C₂²⋊C₄	—	4	1	no	—
1222	C₂²⋊C₄	—	4	1	no	—
1223	C₂²⋊C₄	—	4	1	no	—
1224	C₂²⋊C₄	—	43	4	no	—
1225	C₂²⋊C₄	—	43	4	no	—
1226	C₂²⋊C₄	—	43	4	no	—
1227	C₂²⋊C₄	—	43	4	no	—
1228	C₂²⋊C₄	—	43	4	no	—
1229	C₂²⋊C₄	—	43	4	no	—
1230	C₂²⋊C₄	—	43	4	no	—
1231	C₂²⋊C₄	—	43	4	no	—
1232	C₂²⋊C₄	—	43	4	no	—
1233	C₂²⋊C₄	—	43	4	no	—
1234	C₂²⋊C₄	—	172	1	no	—
1235	C₂²⋊C₄	—	172	1	no	—
1236	C₂²⋊C₄	—	172	1	no	—
1237	C₂²⋊C₄	—	172	1	no	—
1238	C₂²⋊C₄	—	172	1	no	—
1239	C₂²⋊C₄	—	172	1	no	—
1240	C₂²⋊C₄	—	172	1	no	—
1241	C₂²⋊C₄	—	172	1	no	—
1242	C₂²⋊C₄	—	172	1	no	—
1243	C₂²⋊C₄	—	172	1	no	—
1244	C₂²⋊C₄	—	172	1	no	—
1245	C₂²⋊C₄	—	172	1	no	—
1246	C₂²⋊C₄	—	172	1	no	—
1247	C₂²⋊C₄	—	172	1	no	—
1248	C₂²⋊C₄	—	172	1	no	—
1249	C₂²⋊C₄	—	172	1	no	—
1250	C₂²⋊C₄	—	172	1	no	—
1251	C₂²⋊C₄	—	172	1	no	—
1252	C₂²⋊C₄	C₂×C₄×D₄₃	1	4	yes	—
1253	C₂²⋊C₄	C₂×C₄×D₄₃	1	4	yes	—
1254	C₂²⋊C₄	C₂×C₄×D₄₃	1	4	yes	—
1255	C₂²⋊C₄	C₂×C₄×D₄₃	1	4	yes	—
1256	C₄²	—	2	2	no	—
1257	C₄²	—	4	1	no	—
1258	C₄²	—	4	1	no	—
1259	C₄²	—	4	1	no	—
1260	C₄²	—	43	4	no	—
1261	C₄²	—	43	4	no	—
1262	C₄²	—	43	4	no	—
1263	C₄²	—	86	2	no	—
1264	C₄²	—	86	2	no	—
1265	C₄²	—	172	1	no	—
1266	C₄²	—	172	1	no	—
1267	C₄²	—	172	1	no	—
1268	C₄²	—	172	1	no	—
1269	C₄²	—	172	1	no	—
1270	C₄²	—	172	1	no	—
1271	C₄²	—	172	1	no	—
1272	C₄²	—	172	1	no	—
1273	C₄²	—	172	1	no	—
1274	C₄²	—	172	1	no	—
1275	C₄²	—	172	1	no	—
1276	C₄²	—	172	1	no	—
1277	C₄²	—	172	1	no	—
1278	C₄²	—	172	1	no	—
1279	C₄²	—	172	1	no	—
1280	C₄²	—	172	1	no	—
1281	C₂³	—	2	1	no	—
1282	C₂³	—	2	1	no	—
1283	C₂³	—	2	1	no	—
1284	C₂³	—	2	1	no	—
1285	C₂³	—	2	1	no	—
1286	C₂³	—	2	1	no	—
1287	C₂³	—	2	1	no	—
1288	C₂³	—	2	1	no	—
1289	C₂³	—	2	1	no	—
1290	C₂³	—	2	1	no	—
1291	C₂³	—	2	1	no	—
1292	C₂³	—	2	1	no	—
1293	C₂³	—	2	1	no	—
1294	C₂³	—	2	1	no	—
1295	C₂³	—	2	1	no	—
1296	C₂³	—	2	1	no	—
1297	C₂³	—	2	1	no	—
1298	C₂³	—	2	1	no	—
1299	C₂³	—	4	4	no	—
1300	C₂³	—	4	4	no	—
1301	C₂³	—	4	4	no	—
1302	C₂³	—	8	2	no	—
1303	C₂³	—	8	2	no	—
1304	C₂³	—	8	2	no	—
1305	C₂³	—	8	2	no	—
1306	C₂³	—	43	2	no	—
1307	C₂³	—	86	1	no	—
1308	C₂³	—	86	1	no	—
1309	C₂³	—	86	1	no	—
1310	C₂³	—	86	1	no	—
1311	C₂³	—	86	1	no	—
1312	C₂³	—	86	1	no	—
1313	C₂³	C₂²×C₄×D₄₃	1	2	yes	—
1314	C₂³	C₂²×C₄×D₄₃	1	2	yes	—
1315	C₂³	C₂²×C₄×D₄₃	1	2	yes	—
1316	C₂³	C₂⁴×D₄₃	1	1	yes	characteristic
1317	Q₈	—	172	4	no	—
1318	D₄	—	172	4	no	—
1319	D₄	—	172	4	no	—
1320	D₄	—	172	4	no	—
1321	C₂×C₄	—	2	1	no	—
1322	C₂×C₄	—	2	1	no	—
1323	C₂×C₄	—	2	1	no	—
1324	C₂×C₄	—	2	1	no	—
1325	C₂×C₄	—	2	1	no	—
1326	C₂×C₄	—	2	1	no	—
1327	C₂×C₄	—	2	1	no	—
1328	C₂×C₄	—	2	1	no	—
1329	C₂×C₄	—	2	1	no	—
1330	C₂×C₄	—	2	1	no	—
1331	C₂×C₄	—	2	1	no	—
1332	C₂×C₄	—	2	1	no	—
1333	C₂×C₄	—	2	1	no	—
1334	C₂×C₄	—	2	1	no	—
1335	C₂×C₄	—	2	1	no	—
1336	C₂×C₄	—	2	1	no	—
1337	C₂×C₄	—	2	1	no	—
1338	C₂×C₄	—	2	1	no	—
1339	C₂×C₄	—	2	1	no	—
1340	C₂×C₄	—	2	1	no	—
1341	C₂×C₄	—	2	1	no	—
1342	C₂×C₄	—	2	1	no	—
1343	C₂×C₄	—	2	1	no	—
1344	C₂×C₄	—	2	1	no	—
1345	C₂×C₄	—	2	1	no	—
1346	C₂×C₄	—	2	1	no	—
1347	C₂×C₄	—	2	1	no	—
1348	C₂×C₄	—	2	1	no	—
1349	C₂×C₄	—	2	1	no	—
1350	C₂×C₄	—	2	1	no	—
1351	C₂×C₄	—	2	1	no	—
1352	C₂×C₄	—	4	4	no	—
1353	C₂×C₄	—	4	4	no	—
1354	C₂×C₄	—	8	2	no	—
1355	C₂×C₄	—	8	2	no	—
1356	C₂×C₄	—	43	2	no	—
1357	C₂×C₄	—	43	2	no	—
1358	C₂×C₄	—	43	2	no	—
1359	C₂×C₄	—	43	2	no	—
1360	C₂×C₄	—	43	2	no	—
1361	C₂×C₄	—	43	2	no	—
1362	C₂×C₄	—	43	2	no	—
1363	C₂×C₄	—	86	1	no	—
1364	C₂×C₄	—	86	1	no	—
1365	C₂×C₄	—	86	1	no	—
1366	C₂×C₄	—	86	1	no	—
1367	C₂×C₄	—	86	1	no	—
1368	C₂×C₄	—	86	1	no	—
1369	C₂×C₄	—	86	1	no	—
1370	C₂×C₄	—	86	1	no	—
1371	C₂×C₄	—	86	1	no	—
1372	C₂×C₄	—	86	1	no	—
1373	C₂×C₄	—	86	1	no	—
1374	C₂×C₄	—	86	1	no	—
1375	C₂×C₄	—	86	1	no	—
1376	C₂×C₄	—	86	1	no	—
1377	C₂×C₄	—	86	1	no	—
1378	C₂×C₄	—	86	1	no	—
1379	C₂×C₄	—	86	1	no	—
1380	C₂×C₄	—	86	1	no	—
1381	C₂×C₄	—	86	1	no	—
1382	C₂×C₄	—	86	1	no	—
1383	C₂×C₄	—	86	1	no	—
1384	C₂×C₄	—	86	1	no	—
1385	C₂×C₄	—	86	1	no	—
1386	C₂×C₄	—	86	1	no	—
1387	C₂×C₄	—	86	1	no	—
1388	C₂×C₄	—	86	1	no	—
1389	C₂×C₄	—	86	1	no	—
1390	C₂×C₄	—	86	1	no	—
1391	C₂×C₄	—	86	1	no	—
1392	C₂×C₄	—	86	1	no	—
1393	C₂×C₄	—	86	1	no	—
1394	C₂×C₄	—	86	1	no	—
1395	C₂×C₄	—	86	1	no	—
1396	C₂×C₄	—	86	1	no	—
1397	C₂×C₄	—	86	1	no	—
1398	C₂×C₄	—	86	1	no	—
1399	C₂×C₄	—	86	1	no	—
1400	C₂×C₄	—	86	1	no	—
1401	C₂×C₄	—	172	4	no	—
1402	C₂×C₄	—	172	4	no	—
1403	C₂×C₄	—	172	4	no	—
1404	C₂×C₄	—	172	4	no	—
1405	C₂×C₄	—	172	4	no	—
1406	C₂×C₄	C₂²×C₄×D₄₃	1	2	yes	—
1407	C₂×C₄	C₂²×C₄×D₄₃	1	2	yes	—
1408	C₂×C₄	C₂²×C₄×D₄₃	1	2	yes	—
1409	C₂×C₄	C₂²×C₄×D₄₃	1	2	yes	—
1410	C₂×C₄	#13063370	1	2	yes	—
1411	C₂²	—	2	2	no	—
1412	C₂²	—	2	2	no	—
1413	C₂²	—	2	2	no	—
1414	C₂²	—	2	2	no	—
1415	C₂²	—	2	2	no	—
1416	C₂²	—	2	2	no	—
1417	C₂²	—	2	2	no	—
1418	C₂²	—	2	2	no	—
1419	C₂²	—	2	2	no	—
1420	C₂²	—	4	1	no	—
1421	C₂²	—	4	1	no	—
1422	C₂²	—	4	1	no	—
1423	C₂²	—	4	1	no	—
1424	C₂²	—	4	1	no	—
1425	C₂²	—	4	1	no	—
1426	C₂²	—	4	1	no	—
1427	C₂²	—	4	1	no	—
1428	C₂²	—	4	1	no	—
1429	C₂²	—	4	1	no	—
1430	C₂²	—	4	1	no	—
1431	C₂²	—	4	1	no	—
1432	C₂²	—	8	8	no	—
1433	C₂²	—	86	2	no	—
1434	C₂²	—	86	2	no	—
1435	C₂²	—	86	2	no	—
1436	C₂²	—	172	1	no	—
1437	C₂²	—	172	1	no	—
1438	C₂²	—	172	1	no	—
1439	C₂²	—	172	1	no	—
1440	C₂²	C₂³×C₄×D₄₃	1	1	yes	characteristic
1441	C₂²	C₂×#13063370	1	1	yes	characteristic
1442	C₂²	#14583734	1	1	yes	characteristic
1443	C₂²	#14583734	1	1	yes	characteristic
1444	C₂²	#14583735	1	1	yes	characteristic
1445	C₂²	#14583735	1	1	yes	characteristic
1446	C₂²	#14583735	1	1	yes	characteristic
1447	C₄	—	2	2	no	—
1448	C₄	—	2	2	no	—
1449	C₄	—	2	2	no	—
1450	C₄	—	2	2	no	—
1451	C₄	—	2	2	no	—
1452	C₄	—	4	1	no	—
1453	C₄	—	4	1	no	—
1454	C₄	—	4	1	no	—
1455	C₄	—	4	1	no	—
1456	C₄	—	4	1	no	—
1457	C₄	—	4	1	no	—
1458	C₄	—	4	1	no	—
1459	C₄	—	86	2	no	—
1460	C₄	—	86	2	no	—
1461	C₄	—	86	2	no	—
1462	C₄	—	86	2	no	—
1463	C₄	—	86	2	no	—
1464	C₄	—	86	2	no	—
1465	C₄	—	86	2	no	—
1466	C₄	—	172	1	no	—
1467	C₄	—	172	1	no	—
1468	C₄	—	172	1	no	—
1469	C₄	—	172	1	no	—
1470	C₄	—	172	1	no	—
1471	C₄	—	172	1	no	—
1472	C₄	—	172	1	no	—
1473	C₄	—	172	1	no	—
1474	C₂	—	4	2	no	—
1475	C₂	—	4	2	no	—
1476	C₂	—	4	2	no	—
1477	C₂	—	172	2	no	—
1478	C₂	#19147793	1	1	yes	characteristic
1479	C₂	#19147796	1	1	yes	characteristic
1480	C₂	C₄×#13063370	1	1	yes	characteristic
1481	C₂	#19148754	1	1	yes	characteristic
1482	C₂	#19148859	1	1	yes	characteristic
1483	C₂	#19149253	1	1	yes	characteristic
1484	C₂	#19149257	1	1	yes	characteristic

	subgroup	G/H
center, Frattini	C₂³	C₂⁴×D₄₃
commutator	C₂²×C₄₃	C₂⁴×C₄
Fitting	C₄₃×#2342	C₂
socle, cosocle	C₂³×C₄₃	C₂⁵
prime radical	C₂×#13063294	C₂²
hypercenter	#2342	D₄₃
hypocenter	C₄₃	#34508
LCS	G ▷ C₂²×C₄₃ ▷ C₄₃
UCS	C₁ ◁ C₂³ ◁ #2342

Complements

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

N	H ≅ G/N	type
2. #19137768	C₂	semidirect
3. #19137741	C₂	semidirect
4. #19137739	C₂	semidirect
6. #19137729	C₂	semidirect
7. #19137716	C₂	semidirect
8. #19137710	C₂	semidirect
9. #19137622	C₂	semidirect
10. #19137619	C₂	semidirect
11. #19137565	C₂	semidirect
12. #19137563	C₂	semidirect
13. #19137478	C₂	semidirect
14. #19137477	C₂	semidirect
15. #19137440	C₂	semidirect
16. #19137385	C₂	semidirect
17. #19137378	C₂	semidirect
18. #19137372	C₂	semidirect
19. #19137371	C₂	semidirect
20. #19137352	C₂	semidirect
21. #19137348	C₂	semidirect
22. #19137301	C₂	semidirect
24. #19137202	C₂	semidirect
25. #19137199	C₂	semidirect
26. #19137193	C₂	semidirect
27. #19137191	C₂	semidirect
28. C₄×#13063307	C₂	semidirect
29. #19137037	C₂	semidirect
30. #19137032	C₂	semidirect
31. C₄₃×#2342	C₂	semidirect
32. #14583575	C₄	semidirect
42. C₂×#13063290	C₂²	semidirect
50. C₂×C₄²×D₄₃	C₂²	semidirect
51. #14582804	C₂²	semidirect
52. #14582803	C₂²	semidirect
53. #14582803	C₂²	semidirect
59. #14582797	C₂²	semidirect
60. #14582797	C₂²	semidirect
61. #14582796	C₂²	semidirect
62. #14582796	C₂²	semidirect
63. #14582795	C₂²	semidirect
64. #14582794	C₂²	semidirect
84. #14582791	C₂²	semidirect
85. #14582791	C₂²	semidirect
86. #14582790	C₂²	semidirect
87. #14582789	C₂²	semidirect
88. #14582788	C₂²	semidirect
89. #14582788	C₂²	semidirect
101. #14582786	C₂²	semidirect
102. #14582786	C₂²	semidirect
103. #14582784	C₂²	semidirect
104. #14582784	C₂²	semidirect
105. #14582783	C₂²	semidirect
106. #14582783	C₂²	semidirect
107. #14582783	C₂²	semidirect
108. #14582782	C₂²	semidirect
109. #14582782	C₂²	semidirect
110. #14582782	C₂²	semidirect
111. #14582782	C₂²	semidirect
112. #14582781	C₂²	semidirect
113. #14582781	C₂²	semidirect
114. #14582780	C₂²	semidirect
115. #14582780	C₂²	semidirect
116. #14582780	C₂²	semidirect
123. #14582773	C₂²	semidirect
124. #14582773	C₂²	semidirect
128. #14582770	C₂²	semidirect
129. #14582770	C₂²	semidirect
130. #14582770	C₂²	semidirect
131. #14582768	C₂²	semidirect
132. #14582764	C₂²	semidirect
133. #14582763	C₂²	semidirect
134. #14582763	C₂²	semidirect
135. #14582763	C₂²	semidirect
136. #14582761	C₂²	semidirect
145. C₄⋊C₄×Dic₄₃	C₂²	semidirect
146. C₄⋊C₄×Dic₄₃	C₂²	semidirect
147. C₄⋊C₄×Dic₄₃	C₂²	semidirect
148. C₄×Dic₄₃⋊C₄	C₂²	semidirect
149. C₄×Dic₄₃⋊C₄	C₂²	semidirect
150. C₄×Dic₄₃⋊C₄	C₂²	semidirect
151. C₄×Dic₄₃⋊C₄	C₂²	semidirect
152. C₄×C₄⋊Dic₄₃	C₂²	semidirect
153. C₄×C₄⋊Dic₄₃	C₂²	semidirect
154. #14582750	C₂²	semidirect
155. #14582750	C₂²	semidirect
156. #14582750	C₂²	semidirect
157. #14582750	C₂²	semidirect
158. #14582750	C₂²	semidirect
162. C₄×(C₂×D₄₃)⋊C₄	C₂²	semidirect
163. C₄×(C₂×D₄₃)⋊C₄	C₂²	semidirect
169. #14582746	C₂²	semidirect
170. #14582745	C₂²	semidirect
171. #14582744	C₂²	semidirect
172. #14582744	C₂²	semidirect
197. #13063318	C₂×C₄	semidirect
198. #13063318	C₂×C₄	semidirect
200. #13063309	C₂×C₄	semidirect
201. #13063308	C₂×C₄	semidirect
203. #13063304	C₂×C₄	semidirect
204. #13063302	C₂×C₄	semidirect
208. C₄×C₂²⋊D₄₃	C₂×C₄	semidirect
209. (C₂²⋊D₄₃)⋊C₄	C₂×C₄	semidirect
210. #13063284	C₂×C₄	semidirect
212. #13063281	C₂×C₄	semidirect
239. C₂×C₂²⋊Dic₄₃	C₂×C₄	semidirect
337. C₂×C₂²⋊C₄×C₄₃	C₂×C₄	semidirect
747. #2342	D₄₃	semidirect
930. C₄₃	#34508	semidirect
1022. C₂×C₂²⋊C₄	C₄×D₄₃	semidirect

Maximal subgroups

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

subgroup	index
C₂×#14583575	2
#19137768	2
#19137741	2
#19137739	2
#19137734	2
#19137729	2
#19137716	2
#19137710	2
#19137622	2
#19137619	2
#19137565	2
#19137563	2
#19137478	2
#19137477	2
#19137440	2
#19137385	2
#19137378	2
#19137372	2
#19137371	2
#19137352	2
#19137348	2
#19137301	2
#19137253	2
#19137202	2
#19137199	2
#19137193	2
#19137191	2
C₄×#13063307	2
#19137037	2
#19137032	2
C₄₃×#2342	2
#34508	43