Subgroups — #25265628

Order 11008.

2182 conjugacy classes of subgroups.

The subgroup lattice has 1498 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#19139322	C₂	1	1	yes	maximal, characteristic, complemented
2	#19139253	C₂	1	1	yes	maximal, characteristic, complemented
3	#19139247	C₂	1	1	yes	maximal, characteristic, complemented
4	#19139238	C₂	1	1	yes	maximal, characteristic, complemented
5	#19139155	C₂	1	1	yes	maximal, characteristic, complemented
6	#19139149	C₂	1	1	yes	maximal, characteristic, complemented
7	#19139096	C₂	1	1	yes	maximal, characteristic, complemented
8	#19139090	C₂	1	1	yes	maximal, characteristic, complemented
9	#19138980	C₂	1	1	yes	maximal, characteristic, complemented
10	#19138974	C₂	1	1	yes	maximal, characteristic, complemented
11	#19138921	C₂	1	1	yes	maximal, characteristic, complemented
12	#19138915	C₂	1	1	yes	maximal, characteristic, complemented
13	#19138873	C₂	1	1	yes	maximal, characteristic, complemented
14	#19138256	C₂	1	1	yes	maximal, characteristic, complemented
15	#19137991	C₂	1	1	yes	maximal, characteristic
16	#19137985	C₂	1	1	yes	maximal, characteristic
17	#19137895	C₂	1	1	yes	maximal, characteristic, complemented
18	#19137895	C₂	1	1	yes	maximal, characteristic, complemented
19	#19137882	C₂	1	1	yes	maximal, characteristic, complemented
20	#19137856	C₂	1	1	yes	maximal, characteristic, complemented
21	C₄×#13063304	C₂	1	1	yes	maximal, characteristic, complemented
22	C₄×#13063302	C₂	1	1	yes	maximal, characteristic, complemented
23	C₄×#13063309	C₂	1	1	yes	maximal, characteristic, complemented
24	C₄×#13063308	C₂	1	1	yes	maximal, characteristic, complemented
25	C₄×#13063294	C₂	1	1	yes	maximal, characteristic
26	#19137038	C₂	1	1	yes	maximal, characteristic, complemented
27	#19137034	C₂	1	1	yes	maximal, characteristic, complemented
28	#19136993	C₂	1	1	yes	maximal, characteristic, complemented
29	#19136989	C₂	1	1	yes	maximal, characteristic, complemented
30	C₂×C₄×C₂²⋊Dic₄₃	C₂	1	1	yes	maximal, characteristic, complemented
31	C₂×C₄×C₂²⋊C₄×C₄₃	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂×#13063309	C₂²	1	1	yes	characteristic
33	C₂×#13063308	C₂²	1	1	yes	characteristic
34	C₂×#13063304	C₂²	1	1	yes	characteristic
35	C₂×#13063302	C₂²	1	1	yes	characteristic
36	C₂×#13063294	C₂²	1	1	yes	characteristic
37	C₂×C₄×Dic₈₆	C₂²	1	1	yes	characteristic, complemented
38	C₂×C₄×C₂²⋊D₄₃	C₂²	1	1	yes	characteristic
39	C₂×C₄×C₂²⋊D₄₃	C₂²	1	1	yes	characteristic
40	C₂×C₄×C₂²⋊D₄₃	C₂²	1	1	yes	characteristic
41	C₂×#13063282	C₂²	1	1	yes	characteristic, complemented
42	C₂²×C₂²⋊Dic₄₃	C₂²	1	1	yes	characteristic
43	C₂²×C₂²⋊Dic₄₃	C₂²	1	1	yes	characteristic
44	C₂²×C₄×Dic₄₃	C₂²	1	1	yes	characteristic
45	C₂²×C₄×Dic₄₃	C₂²	1	1	yes	characteristic
46	C₄₃⋊#401	C₂²	1	1	yes	characteristic, complemented
47	C₄₃⋊#401	C₂²	1	1	yes	characteristic, complemented
48	#14582841	C₂²	1	1	yes	characteristic, complemented
49	#14582841	C₂²	1	1	yes	characteristic, complemented
50	#14582841	C₂²	1	1	yes	characteristic, complemented
51	#14582840	C₂²	1	1	yes	characteristic, complemented
52	#14582840	C₂²	1	1	yes	characteristic, complemented
53	#14582840	C₂²	1	1	yes	characteristic, complemented
54	#14582840	C₂²	1	1	yes	characteristic, complemented
55	#14582839	C₂²	1	1	yes	characteristic, complemented
56	#14582839	C₂²	1	1	yes	characteristic, complemented
57	#14582835	C₂²	1	1	yes	characteristic
58	#14582833	C₂²	1	1	yes	characteristic, complemented
59	#14582828	C₂²	1	1	yes	characteristic, complemented
60	#14582828	C₂²	1	1	yes	characteristic, complemented
61	#14582827	C₂²	1	1	yes	characteristic
62	#14582827	C₂²	1	1	yes	characteristic
63	#14582827	C₂²	1	1	yes	characteristic
64	#14582827	C₂²	1	1	yes	characteristic
65	#14582827	C₂²	1	1	yes	characteristic
66	#14582827	C₂²	1	1	yes	characteristic
67	#14582826	C₂²	1	1	yes	characteristic, complemented
68	#14582824	C₂²	1	1	yes	characteristic
69	#14582824	C₂²	1	1	yes	characteristic
70	#14582822	C₂²	1	1	yes	characteristic
71	#14582822	C₂²	1	1	yes	characteristic
72	#14582815	C₂²	1	1	yes	characteristic
73	#14582815	C₂²	1	1	yes	characteristic
74	#14582814	C₂²	1	1	yes	characteristic
75	#14582814	C₂²	1	1	yes	characteristic
76	#14582812	C₂²	1	1	yes	characteristic, complemented
77	#14582811	C₂²	1	1	yes	characteristic
78	#14582805	C₂²	1	1	yes	characteristic, complemented
79	#14582803	C₂²	1	1	yes	characteristic, complemented
80	#14582797	C₂²	1	1	yes	characteristic, complemented
81	#14582796	C₂²	1	1	yes	characteristic, complemented
82	#14582791	C₂²	1	1	yes	characteristic, complemented
83	#14582791	C₂²	1	1	yes	characteristic, complemented
84	#14582790	C₂²	1	1	yes	characteristic, complemented
85	#14582790	C₂²	1	1	yes	characteristic, complemented
86	#14582790	C₂²	1	1	yes	characteristic, complemented
87	#14582790	C₂²	1	1	yes	characteristic, complemented
88	#14582788	C₂²	1	1	yes	characteristic, complemented
89	#14582788	C₂²	1	1	yes	characteristic, complemented
90	#14582786	C₂²	1	1	yes	characteristic, complemented
91	#14582784	C₂²	1	1	yes	characteristic, complemented
92	#14582784	C₂²	1	1	yes	characteristic, complemented
93	#14582783	C₂²	1	1	yes	characteristic, complemented
94	#14582783	C₂²	1	1	yes	characteristic, complemented
95	#14582783	C₂²	1	1	yes	characteristic, complemented
96	#14582783	C₂²	1	1	yes	characteristic, complemented
97	#14582783	C₂²	1	1	yes	characteristic, complemented
98	#14582783	C₂²	1	1	yes	characteristic, complemented
99	#14582782	C₂²	1	1	yes	characteristic, complemented
100	#14582781	C₂²	1	1	yes	characteristic, complemented
101	#14582781	C₂²	1	1	yes	characteristic, complemented
102	#14582778	C₂²	1	1	yes	characteristic
103	#14582778	C₂²	1	1	yes	characteristic
104	#14582778	C₂²	1	1	yes	characteristic
105	#14582778	C₂²	1	1	yes	characteristic
106	#14582778	C₂²	1	1	yes	characteristic
107	#14582778	C₂²	1	1	yes	characteristic
108	#14582776	C₂²	1	1	yes	characteristic
109	#14582776	C₂²	1	1	yes	characteristic
110	#14582776	C₂²	1	1	yes	characteristic
111	#14582774	C₂²	1	1	yes	characteristic
112	#14582774	C₂²	1	1	yes	characteristic
113	#14582772	C₂²	1	1	yes	characteristic
114	#14582772	C₂²	1	1	yes	characteristic
115	#14582772	C₂²	1	1	yes	characteristic
116	#14582772	C₂²	1	1	yes	characteristic
117	#14582772	C₂²	1	1	yes	characteristic
118	#14582772	C₂²	1	1	yes	characteristic
119	#14582772	C₂²	1	1	yes	characteristic
120	#14582772	C₂²	1	1	yes	characteristic
121	#14582771	C₂²	1	1	yes	characteristic
122	#14582771	C₂²	1	1	yes	characteristic
123	#14582771	C₂²	1	1	yes	characteristic
124	#14582767	C₂²	1	1	yes	characteristic, complemented
125	#14582767	C₂²	1	1	yes	characteristic, complemented
126	#14582766	C₂²	1	1	yes	characteristic, complemented
127	#14582766	C₂²	1	1	yes	characteristic, complemented
128	#14582765	C₂²	1	1	yes	characteristic, complemented
129	#14582765	C₂²	1	1	yes	characteristic, complemented
130	#14582763	C₂²	1	1	yes	characteristic, complemented
131	#14582763	C₂²	1	1	yes	characteristic, complemented
132	#14582762	C₂²	1	1	yes	characteristic
133	#14582762	C₂²	1	1	yes	characteristic
134	#14582762	C₂²	1	1	yes	characteristic
135	#14582760	C₂²	1	1	yes	characteristic
136	#14582760	C₂²	1	1	yes	characteristic
137	#14582760	C₂²	1	1	yes	characteristic
138	#14582759	C₂²	1	1	yes	characteristic
139	#14582759	C₂²	1	1	yes	characteristic
140	#14582759	C₂²	1	1	yes	characteristic
141	#14582757	C₂²	1	1	yes	characteristic
142	#14582757	C₂²	1	1	yes	characteristic
143	#14582757	C₂²	1	1	yes	characteristic
144	#14582755	C₂²	1	1	yes	characteristic
145	C₄×Dic₄₃⋊C₄	C₂²	1	1	yes	characteristic, complemented
146	C₄×Dic₄₃⋊C₄	C₂²	1	1	yes	characteristic, complemented
147	C₄×Dic₄₃⋊C₄	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×C₄⋊Dic₄₃	C₂²	1	1	yes	characteristic, complemented
151	C₄×C₄⋊Dic₄₃	C₂²	1	1	yes	characteristic, complemented
152	C₄×C₄⋊Dic₄₃	C₂²	1	1	yes	characteristic, complemented
153	C₄×(C₂×D₄₃)⋊C₄	C₂²	1	1	yes	characteristic, complemented
154	C₄×(C₂×D₄₃)⋊C₄	C₂²	1	1	yes	characteristic, complemented
155	C₄×(C₂×D₄₃)⋊C₄	C₂²	1	1	yes	characteristic, complemented
156	C₄×C₂²⋊Dic₄₃	C₂²	1	1	yes	characteristic
157	C₄×C₂²⋊Dic₄₃	C₂²	1	1	yes	characteristic
158	C₄×C₂²⋊Dic₄₃	C₂²	1	1	yes	characteristic
159	C₄×C₂²⋊Dic₄₃	C₂²	1	1	yes	characteristic
160	C₄×C₂²⋊Dic₄₃	C₂²	1	1	yes	characteristic
161	C₄×C₂²⋊Dic₄₃	C₂²	1	1	yes	characteristic
162	C₄×C₂²⋊Dic₄₃	C₂²	1	1	yes	characteristic
163	C₄×C₂²⋊Dic₄₃	C₂²	1	1	yes	characteristic
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	#14582745	C₂²	1	1	yes	characteristic, complemented
168	#14582745	C₂²	1	1	yes	characteristic, complemented
169	#14582745	C₂²	1	1	yes	characteristic, complemented
170	C₂×C₄₃⋊#95	C₂²	1	1	yes	characteristic
171	C₂×C₄₃⋊#95	C₂²	1	1	yes	characteristic
172	C₂⁴×C₄×C₄₃	C₂²	1	1	yes	characteristic
173	C₂²×C₂²⋊C₄×C₄₃	C₂²	1	1	yes	characteristic
174	C₂²×C₂²⋊C₄×C₄₃	C₂²	1	1	yes	characteristic
175	C₂²×C₄²×C₄₃	C₂²	1	1	yes	characteristic
176	C₂²×C₄²×C₄₃	C₂²	1	1	yes	characteristic
177	C₄×C₂²⋊C₄×C₄₃	C₂²	1	1	yes	characteristic
178	C₄×C₂²⋊C₄×C₄₃	C₂²	1	1	yes	characteristic
179	C₄×C₂²⋊C₄×C₄₃	C₂²	1	1	yes	characteristic
180	C₄×C₂²⋊C₄×C₄₃	C₂²	1	1	yes	characteristic
181	C₄×C₂²⋊C₄×C₄₃	C₂²	1	1	yes	characteristic
182	C₄×C₂²⋊C₄×C₄₃	C₂²	1	1	yes	characteristic
183	C₄×C₂²⋊C₄×C₄₃	C₂²	1	1	yes	characteristic
184	C₄×C₂²⋊C₄×C₄₃	C₂²	1	1	yes	characteristic
185	C₂×#95×C₄₃	C₂²	1	1	yes	characteristic
186	C₂×#95×C₄₃	C₂²	1	1	yes	characteristic
187	C₂²×Dic₈₆	C₂³	1	1	yes	characteristic
188	C₂²×C₂²⋊D₄₃	C₂³	1	1	yes	characteristic
189	C₂²×C₂²⋊D₄₃	C₂³	1	1	yes	characteristic
190	C₂²×C₂²⋊D₄₃	C₂³	1	1	yes	characteristic
191	C₂³×Dic₄₃	C₂³	1	1	yes	characteristic
192	C₂³×Dic₄₃	C₂³	1	1	yes	characteristic
193	C₂³×Dic₄₃	C₂³	1	1	yes	characteristic
194	C₂³×Dic₄₃	C₂³	1	1	yes	characteristic
195	C₂²×C₄×D₄₃	C₂³	1	1	yes	characteristic
196	#13063309	—	2	4	no	—
197	#13063308	—	2	4	no	—
198	#13063304	—	2	4	no	—
199	#13063302	—	2	4	no	—
200	#13063294	—	2	4	no	—
201	C₄×Dic₈₆	—	4	2	no	—
202	C₄×C₂²⋊D₄₃	—	2	4	no	—
203	C₄×C₂²⋊D₄₃	—	2	4	no	—
204	C₄×C₂²⋊D₄₃	—	4	2	no	—
205	#13063282	—	4	2	no	—
206	C₂×C₄⋊Dic₄₃	C₂³	1	1	yes	characteristic
207	C₂×C₄⋊Dic₄₃	C₂³	1	1	yes	characteristic
208	C₂×C₄⋊Dic₄₃	C₂³	1	1	yes	characteristic
209	C₂×C₄⋊Dic₄₃	C₂³	1	1	yes	characteristic
210	C₂×C₄⋊Dic₄₃	C₂³	1	1	yes	characteristic
211	C₂×C₄⋊Dic₄₃	C₂³	1	1	yes	characteristic
212	C₂×C₄⋊Dic₄₃	C₂³	1	1	yes	characteristic
213	C₂×Dic₄₃⋊C₄	C₂³	1	1	yes	characteristic
214	C₂×Dic₄₃⋊C₄	C₂³	1	1	yes	characteristic
215	C₂×Dic₄₃⋊C₄	C₂³	1	1	yes	characteristic
216	C₂×Dic₄₃⋊C₄	C₂³	1	1	yes	characteristic
217	C₂×Dic₄₃⋊C₄	C₂³	1	1	yes	characteristic
218	C₂×Dic₄₃⋊C₄	C₂³	1	1	yes	characteristic
219	C₂×Dic₄₃⋊C₄	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×C₂²⋊Dic₄₃	—	2	4	no	—
231	C₂×C₂²⋊Dic₄₃	—	2	4	no	—
232	C₂×C₂²⋊Dic₄₃	C₂³	1	1	yes	characteristic
233	C₂×C₂²⋊Dic₄₃	C₂³	1	1	yes	characteristic
234	C₂×C₂²⋊Dic₄₃	C₂³	1	1	yes	characteristic
235	C₂×C₂²⋊Dic₄₃	C₂³	1	1	yes	characteristic
236	C₂×C₂²⋊Dic₄₃	C₂³	1	1	yes	characteristic
237	C₂×C₂²⋊Dic₄₃	C₂³	1	1	yes	characteristic
238	C₂×C₂²⋊Dic₄₃	C₂³	1	1	yes	characteristic
239	C₂×C₂²⋊Dic₄₃	C₂³	1	1	yes	characteristic
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×(C₂×D₄₃)⋊C₄	C₂³	1	1	yes	characteristic
250	C₂×(C₂×D₄₃)⋊C₄	C₂³	1	1	yes	characteristic
251	C₂×(C₂×D₄₃)⋊C₄	C₂³	1	1	yes	characteristic
252	C₂×(C₂×D₄₃)⋊C₄	C₂³	1	1	yes	characteristic
253	C₂×(C₂×D₄₃)⋊C₄	C₂³	1	1	yes	characteristic
254	C₂×(C₂×D₄₃)⋊C₄	C₂³	1	1	yes	characteristic
255	C₂×(C₂×D₄₃)⋊C₄	C₂³	1	1	yes	characteristic
256	C₂×(C₂×D₄₃)⋊C₄	C₂³	1	1	yes	characteristic
257	C₂×(C₂×D₄₃)⋊C₄	C₂³	1	1	yes	characteristic
258	C₂×(C₂×D₄₃)⋊C₄	C₂³	1	1	yes	characteristic
259	C₂×(C₂×D₄₃)⋊C₄	C₂³	1	1	yes	characteristic
260	C₂×C₄×Dic₄₃	—	2	4	no	—
261	C₂×C₄×Dic₄₃	—	4	2	no	—
262	C₂×C₄×Dic₄₃	C₂³	1	1	yes	characteristic
263	C₂×C₄×Dic₄₃	C₂³	1	1	yes	characteristic
264	C₂×C₄×Dic₄₃	C₂³	1	1	yes	characteristic
265	C₂×C₄×Dic₄₃	C₂³	1	1	yes	characteristic
266	C₂×C₄×Dic₄₃	C₂³	1	1	yes	characteristic
267	C₂×C₄×Dic₄₃	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	C₄₃⋊#95	C₂³	1	1	yes	characteristic
274	C₄₃⋊#95	C₂³	1	1	yes	characteristic
275	C₄₃⋊#95	C₂³	1	1	yes	characteristic
276	C₄₃⋊#95	C₂³	1	1	yes	characteristic
277	C₄₃⋊#95	C₂³	1	1	yes	characteristic
278	C₄₃⋊#95	C₂³	1	1	yes	characteristic
279	C₄₃⋊#95	C₂³	1	1	yes	characteristic
280	C₄₃⋊#95	C₂³	1	1	yes	characteristic
281	C₄₃⋊#95	C₂³	1	1	yes	characteristic
282	C₄₃⋊#95	C₂³	1	1	yes	characteristic
283	C₄₃⋊#95	C₂³	1	1	yes	characteristic
284	C₄₃⋊#95	C₂³	1	1	yes	characteristic
285	C₄₃⋊#95	C₂³	1	1	yes	characteristic
286	C₄₃⋊#95	C₂³	1	1	yes	characteristic
287	C₄₃⋊#95	C₂³	1	1	yes	characteristic
288	C₄₃⋊#95	C₂³	1	1	yes	characteristic
289	C₄₃⋊#95	C₂³	1	1	yes	characteristic
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	C₂⁵×C₄₃	C₂³	1	1	yes	characteristic
322	C₂³×C₄×C₄₃	—	2	4	no	—
323	C₂³×C₄×C₄₃	—	2	4	no	—
324	C₂³×C₄×C₄₃	—	4	2	no	—
325	C₂³×C₄×C₄₃	C₂³	1	1	yes	characteristic
326	C₂³×C₄×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	C₂³×C₄×C₄₃	C₂³	1	1	yes	characteristic
332	C₂³×C₄×C₄₃	C₂³	1	1	yes	characteristic
333	C₂³×C₄×C₄₃	C₂³	1	1	yes	characteristic
334	C₂³×C₄×C₄₃	C₂³	1	1	yes	characteristic
335	C₂×C₂²⋊C₄×C₄₃	—	2	4	no	—
336	C₂×C₂²⋊C₄×C₄₃	—	2	4	no	—
337	C₂×C₂²⋊C₄×C₄₃	C₂³	1	1	yes	characteristic
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×C₄²×C₄₃	—	2	4	no	—
346	C₂×C₄²×C₄₃	—	4	2	no	—
347	C₂×C₄²×C₄₃	C₂³	1	1	yes	characteristic
348	C₂×C₄²×C₄₃	C₂³	1	1	yes	characteristic
349	C₂×C₄²×C₄₃	C₂³	1	1	yes	characteristic
350	C₂×C₄²×C₄₃	C₂³	1	1	yes	characteristic
351	C₂×C₄²×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	#95×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	C₂⁴×C₄₃	—	2	2	no	—
364	C₂⁴×C₄₃	—	2	2	no	—
365	C₂⁴×C₄₃	—	2	2	no	—
366	C₂⁴×C₄₃	—	2	2	no	—
367	C₂⁴×C₄₃	—	4	1	no	—
368	C₂⁴×C₄₃	—	4	1	no	—
369	C₂⁴×C₄₃	#41	1	4	yes	—
370	C₂⁴×C₄₃	C₂⁴	1	1	yes	characteristic
371	C₂⁴×C₄₃	C₂⁴	1	1	yes	characteristic
372	C₂⁴×C₄₃	C₂⁴	1	1	yes	characteristic
373	C₂³×D₄₃	C₂⁴	1	1	yes	characteristic
374	C₂²×C₄×C₄₃	—	2	2	no	—
375	C₂²×C₄×C₄₃	—	2	2	no	—
376	C₂²×C₄×C₄₃	—	2	2	no	—
377	C₂²×C₄×C₄₃	—	2	2	no	—
378	C₂²×C₄×C₄₃	—	2	2	no	—
379	C₂²×C₄×C₄₃	—	2	2	no	—
380	C₂²×C₄×C₄₃	—	2	2	no	—
381	C₂²×C₄×C₄₃	—	2	2	no	—
382	C₂²×C₄×C₄₃	—	2	2	no	—
383	C₂²×C₄×C₄₃	—	2	2	no	—
384	C₂²×C₄×C₄₃	—	2	2	no	—
385	C₂²×C₄×C₄₃	—	2	2	no	—
386	C₂²×C₄×C₄₃	—	2	2	no	—
387	C₂²×C₄×C₄₃	—	2	2	no	—
388	C₂²×C₄×C₄₃	—	2	2	no	—
389	C₂²×C₄×C₄₃	—	2	2	no	—
390	C₂²×C₄×C₄₃	—	2	2	no	—
391	C₂²×C₄×C₄₃	—	2	2	no	—
392	C₂²×C₄×C₄₃	—	2	2	no	—
393	C₂²×C₄×C₄₃	—	2	2	no	—
394	C₂²×C₄×C₄₃	—	2	2	no	—
395	C₂²×C₄×C₄₃	—	4	1	no	—
396	C₂²×C₄×C₄₃	—	4	1	no	—
397	C₂²×C₄×C₄₃	—	4	1	no	—
398	C₂²×C₄×C₄₃	—	4	1	no	—
399	C₂²×C₄×C₄₃	—	4	1	no	—
400	C₂²×C₄×C₄₃	—	4	1	no	—
401	C₂²×C₄×C₄₃	—	4	1	no	—
402	C₂²×C₄×C₄₃	—	4	16	no	—
403	C₂²×C₄×C₄₃	#41	1	4	yes	—
404	C₂²×C₄×C₄₃	#41	1	4	yes	—
405	C₂²×C₄×C₄₃	C₂⁴	1	1	yes	characteristic
406	C₂²×C₄×C₄₃	C₂⁴	1	1	yes	characteristic
407	C₂²×C₄×C₄₃	C₂⁴	1	1	yes	characteristic
408	C₂²×C₄×C₄₃	C₂⁴	1	1	yes	characteristic
409	C₂²×C₄×C₄₃	C₂⁴	1	1	yes	characteristic
410	C₂²×C₄×C₄₃	C₂⁴	1	1	yes	characteristic
411	C₂²×C₄×C₄₃	C₂⁴	1	1	yes	characteristic
412	C₂²×C₄×C₄₃	C₂⁴	1	1	yes	characteristic
413	C₂²×C₄×C₄₃	C₂⁴	1	1	yes	characteristic
414	C₂²×C₄×C₄₃	C₂⁴	1	1	yes	characteristic
415	C₂²×C₄×C₄₃	C₂⁴	1	1	yes	characteristic
416	C₂²×C₄×C₄₃	C₂⁴	1	1	yes	characteristic
417	C₂×C₂²⋊D₄₃	—	2	2	no	—
418	C₂×C₂²⋊D₄₃	—	2	2	no	—
419	C₂×C₂²⋊D₄₃	—	2	2	no	—
420	C₂×C₂²⋊D₄₃	—	2	2	no	—
421	C₂×C₂²⋊D₄₃	—	2	2	no	—
422	C₂×C₂²⋊D₄₃	—	2	2	no	—
423	C₂×C₂²⋊D₄₃	—	2	2	no	—
424	C₂×C₂²⋊D₄₃	—	4	1	no	—
425	C₂×C₂²⋊D₄₃	—	4	1	no	—
426	C₂²×Dic₄₃	—	2	2	no	—
427	C₂²×Dic₄₃	—	2	2	no	—
428	C₂²×Dic₄₃	—	2	2	no	—
429	C₂²×Dic₄₃	—	2	2	no	—
430	C₂²×Dic₄₃	—	2	2	no	—
431	C₂²×Dic₄₃	—	2	2	no	—
432	C₂²×Dic₄₃	—	2	2	no	—
433	C₂²×Dic₄₃	—	2	2	no	—
434	C₂²×Dic₄₃	—	4	1	no	—
435	C₂²×Dic₄₃	—	4	1	no	—
436	C₂²×Dic₄₃	—	4	1	no	—
437	C₂²×Dic₄₃	—	4	1	no	—
438	C₂²×Dic₄₃	C₂⁴	1	1	yes	characteristic
439	C₂²×Dic₄₃	C₂⁴	1	1	yes	characteristic
440	C₂²×Dic₄₃	C₂⁴	1	1	yes	characteristic
441	C₂²×Dic₄₃	C₂⁴	1	1	yes	characteristic
442	C₂²×Dic₄₃	C₂⁴	1	1	yes	characteristic
443	C₂²×Dic₄₃	C₂⁴	1	1	yes	characteristic
444	C₂²×Dic₄₃	C₂⁴	1	1	yes	characteristic
445	C₂²×Dic₄₃	C₂⁴	1	1	yes	characteristic
446	C₂²×Dic₄₃	C₂⁴	1	1	yes	characteristic
447	C₂²×Dic₄₃	C₂⁴	1	1	yes	characteristic
448	C₂²×Dic₄₃	C₂⁴	1	1	yes	characteristic
449	C₂²×Dic₄₃	C₂⁴	1	1	yes	characteristic
450	C₂²×Dic₄₃	C₂⁴	1	1	yes	characteristic
451	C₂²×Dic₄₃	C₂⁴	1	1	yes	characteristic
452	C₂²×Dic₄₃	C₂⁴	1	1	yes	characteristic
453	C₂×C₄×D₄₃	—	2	2	no	—
454	C₂×C₄×D₄₃	—	2	2	no	—
455	C₂×C₄×D₄₃	—	2	2	no	—
456	C₂×Dic₈₆	—	2	2	no	—
457	C₂×Dic₈₆	—	2	2	no	—
458	C₂×Dic₈₆	—	4	1	no	—
459	C₂²⋊C₄×C₄₃	—	2	2	no	—
460	C₂²⋊C₄×C₄₃	—	2	2	no	—
461	C₂²⋊C₄×C₄₃	—	2	2	no	—
462	C₂²⋊C₄×C₄₃	—	2	2	no	—
463	C₂²⋊C₄×C₄₃	—	2	2	no	—
464	C₂²⋊C₄×C₄₃	—	2	2	no	—
465	C₂²⋊C₄×C₄₃	—	2	2	no	—
466	C₂²⋊C₄×C₄₃	#41	1	4	yes	—
467	C₄²×C₄₃	—	2	2	no	—
468	C₄²×C₄₃	—	2	2	no	—
469	C₄²×C₄₃	—	2	2	no	—
470	C₄²×C₄₃	—	2	2	no	—
471	C₄²×C₄₃	—	2	2	no	—
472	C₄²×C₄₃	—	2	2	no	—
473	C₄²×C₄₃	—	4	1	no	—
474	C₄²×C₄₃	—	4	1	no	—
475	C₂²⋊Dic₄₃	—	2	2	no	—
476	C₂²⋊Dic₄₃	—	2	2	no	—
477	C₂²⋊Dic₄₃	—	2	2	no	—
478	C₂²⋊Dic₄₃	—	2	2	no	—
479	C₂²⋊Dic₄₃	—	2	2	no	—
480	C₂²⋊Dic₄₃	—	2	2	no	—
481	C₂²⋊Dic₄₃	—	2	2	no	—
482	C₂²⋊Dic₄₃	—	2	2	no	—
483	C₂²⋊Dic₄₃	—	2	2	no	—
484	C₂²⋊Dic₄₃	—	2	2	no	—
485	C₂²⋊Dic₄₃	—	2	2	no	—
486	C₂²⋊Dic₄₃	—	2	2	no	—
487	C₂²⋊Dic₄₃	—	2	2	no	—
488	C₂²⋊Dic₄₃	—	2	2	no	—
489	C₂²⋊Dic₄₃	—	4	1	no	—
490	C₂²⋊Dic₄₃	—	4	1	no	—
491	C₂²⋊Dic₄₃	#41	1	4	yes	—
492	(C₂×D₄₃)⋊C₄	—	2	2	no	—
493	(C₂×D₄₃)⋊C₄	—	2	2	no	—
494	(C₂×D₄₃)⋊C₄	—	2	2	no	—
495	(C₂×D₄₃)⋊C₄	—	2	2	no	—
496	(C₂×D₄₃)⋊C₄	—	2	2	no	—
497	(C₂×D₄₃)⋊C₄	—	2	2	no	—
498	(C₂×D₄₃)⋊C₄	—	4	1	no	—
499	(C₂×D₄₃)⋊C₄	—	4	1	no	—
500	(C₂×D₄₃)⋊C₄	—	4	1	no	—
501	(C₂×D₄₃)⋊C₄	—	4	1	no	—
502	(C₂×D₄₃)⋊C₄	—	4	1	no	—
503	C₄⋊Dic₄₃	—	2	2	no	—
504	C₄⋊Dic₄₃	—	2	2	no	—
505	C₄⋊Dic₄₃	—	2	2	no	—
506	C₄⋊Dic₄₃	—	2	2	no	—
507	C₄⋊Dic₄₃	—	4	1	no	—
508	C₄⋊Dic₄₃	—	4	1	no	—
509	C₄⋊Dic₄₃	—	4	1	no	—
510	Dic₄₃⋊C₄	—	2	2	no	—
511	Dic₄₃⋊C₄	—	2	2	no	—
512	Dic₄₃⋊C₄	—	2	2	no	—
513	Dic₄₃⋊C₄	—	2	2	no	—
514	Dic₄₃⋊C₄	—	2	2	no	—
515	Dic₄₃⋊C₄	—	2	2	no	—
516	Dic₄₃⋊C₄	—	2	2	no	—
517	Dic₄₃⋊C₄	—	2	2	no	—
518	Dic₄₃⋊C₄	—	4	1	no	—
519	Dic₄₃⋊C₄	—	4	1	no	—
520	Dic₄₃⋊C₄	—	4	1	no	—
521	Dic₄₃⋊C₄	—	4	1	no	—
522	Dic₄₃⋊C₄	—	4	1	no	—
523	Dic₄₃⋊C₄	—	4	1	no	—
524	Dic₄₃⋊C₄	—	4	1	no	—
525	Dic₄₃⋊C₄	—	4	1	no	—
526	Dic₄₃⋊C₄	—	4	1	no	—
527	C₄×Dic₄₃	—	2	2	no	—
528	C₄×Dic₄₃	—	2	2	no	—
529	C₄×Dic₄₃	—	2	2	no	—
530	C₄×Dic₄₃	—	2	2	no	—
531	C₄×Dic₄₃	—	2	2	no	—
532	C₄×Dic₄₃	—	2	2	no	—
533	C₄×Dic₄₃	—	2	2	no	—
534	C₄×Dic₄₃	—	2	2	no	—
535	C₄×Dic₄₃	—	2	2	no	—
536	C₄×Dic₄₃	—	4	1	no	—
537	C₄×Dic₄₃	—	4	1	no	—
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	8	no	—
547	C₂³×C₄₃	—	2	8	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	—	4	4	no	—
555	C₂³×C₄₃	—	4	4	no	—
556	C₂³×C₄₃	—	4	4	no	—
557	C₂³×C₄₃	—	4	4	no	—
558	C₂³×C₄₃	—	4	4	no	—
559	C₂³×C₄₃	C₂×#41	1	2	yes	—
560	C₂³×C₄₃	C₂×#41	1	2	yes	—
561	C₂³×C₄₃	C₂×#41	1	2	yes	—
562	C₂³×C₄₃	C₂×#41	1	2	yes	—
563	C₂³×C₄₃	C₂×#41	1	2	yes	—
564	C₂³×C₄₃	C₂×#41	1	2	yes	—
565	C₂³×C₄₃	C₂×#41	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	—	2	1	no	—
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	8	no	—
583	C₂×C₄×C₄₃	—	2	8	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	—	4	4	no	—
608	C₂×C₄×C₄₃	—	4	4	no	—
609	C₂×C₄×C₄₃	—	4	4	no	—
610	C₂×C₄×C₄₃	—	4	4	no	—
611	C₂×C₄×C₄₃	—	4	4	no	—
612	C₂×C₄×C₄₃	—	4	4	no	—
613	C₂×C₄×C₄₃	C₂×#41	1	2	yes	—
614	C₂×C₄×C₄₃	C₂×#41	1	2	yes	—
615	C₂×C₄×C₄₃	C₂×#41	1	2	yes	—
616	C₂×C₄×C₄₃	C₂×#41	1	2	yes	—
617	C₂×C₄×C₄₃	C₂×#41	1	2	yes	—
618	C₂×C₄×C₄₃	C₂×#41	1	2	yes	—
619	C₂×C₄×C₄₃	H(5,𝔽₂)	1	2	yes	—
620	C₂²⋊D₄₃	—	4	4	no	—
621	C₂²⋊D₄₃	—	4	4	no	—
622	C₂²⋊D₄₃	—	4	4	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	—	2	1	no	—
656	C₂×Dic₄₃	—	2	1	no	—
657	C₂×Dic₄₃	—	2	1	no	—
658	C₂×Dic₄₃	—	2	1	no	—
659	C₂×Dic₄₃	—	2	1	no	—
660	C₂×Dic₄₃	—	2	1	no	—
661	C₂×Dic₄₃	—	2	1	no	—
662	C₂×Dic₄₃	—	2	1	no	—
663	C₂×Dic₄₃	—	2	1	no	—
664	C₂×Dic₄₃	—	2	1	no	—
665	C₂×Dic₄₃	—	2	1	no	—
666	C₂×Dic₄₃	—	4	4	no	—
667	C₂×Dic₄₃	—	4	4	no	—
668	C₂×Dic₄₃	—	4	4	no	—
669	C₂×Dic₄₃	—	4	4	no	—
670	C₂×Dic₄₃	C₂×#41	1	2	yes	—
671	C₂×Dic₄₃	C₂×#41	1	2	yes	—
672	C₄×D₄₃	—	4	4	no	—
673	Dic₈₆	—	4	4	no	—
674	#34754	—	43	1	no	maximal, Sylow
675	C₂²×C₄₃	—	2	2	no	—
676	C₂²×C₄₃	—	2	2	no	—
677	C₂²×C₄₃	—	2	2	no	—
678	C₂²×C₄₃	—	2	2	no	—
679	C₂²×C₄₃	—	2	2	no	—
680	C₂²×C₄₃	—	2	2	no	—
681	C₂²×C₄₃	—	2	2	no	—
682	C₂²×C₄₃	—	2	2	no	—
683	C₂²×C₄₃	—	2	2	no	—
684	C₂²×C₄₃	—	2	2	no	—
685	C₂²×C₄₃	—	2	2	no	—
686	C₂²×C₄₃	—	2	2	no	—
687	C₂²×C₄₃	—	2	2	no	—
688	C₂²×C₄₃	—	2	2	no	—
689	C₂²×C₄₃	—	2	2	no	—
690	C₂²×C₄₃	—	4	16	no	—
691	C₂²×C₄₃	—	4	1	no	—
692	C₂²×C₄₃	—	4	1	no	—
693	C₂²×C₄₃	—	4	1	no	—
694	C₂²×C₄₃	—	4	1	no	—
695	C₂²×C₄₃	#529	1	4	yes	—
696	C₂²×C₄₃	#529	1	4	yes	—
697	C₂²×C₄₃	C₂²×#41	1	1	yes	characteristic
698	C₂²×C₄₃	C₂²×#41	1	1	yes	characteristic
699	C₂²×C₄₃	C₂²×#41	1	1	yes	characteristic
700	C₂²×C₄₃	C₂²×#41	1	1	yes	characteristic
701	C₂²×C₄₃	C₂²×#41	1	1	yes	characteristic
702	C₂²×C₄₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
703	C₂²×C₄₃	#585	1	1	yes	characteristic
704	C₂×D₄₃	—	4	1	no	—
705	C₂×D₄₃	—	4	1	no	—
706	C₂×D₄₃	—	4	1	no	—
707	C₂×D₄₃	—	4	1	no	—
708	C₂×D₄₃	—	4	1	no	—
709	C₂×D₄₃	—	4	1	no	—
710	C₂×D₄₃	—	4	1	no	—
711	C₄×C₄₃	—	2	2	no	—
712	C₄×C₄₃	—	2	2	no	—
713	C₄×C₄₃	—	2	2	no	—
714	C₄×C₄₃	—	2	2	no	—
715	C₄×C₄₃	—	4	1	no	—
716	C₄×C₄₃	—	4	1	no	—
717	C₄×C₄₃	—	4	1	no	—
718	C₄×C₄₃	—	4	1	no	—
719	C₄×C₄₃	—	4	1	no	—
720	C₄×C₄₃	—	4	1	no	—
721	C₄×C₄₃	—	4	1	no	—
722	C₄×C₄₃	#551	1	4	yes	—
723	Dic₄₃	—	2	2	no	—
724	Dic₄₃	—	2	2	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	Dic₄₃	—	4	1	no	—
733	Dic₄₃	—	4	1	no	—
734	Dic₄₃	—	4	1	no	—
735	Dic₄₃	—	4	1	no	—
736	Dic₄₃	—	4	1	no	—
737	Dic₄₃	—	4	1	no	—
738	#2523	—	43	1	no	—
739	#2518	—	43	1	no	—
740	#2518	—	43	1	no	—
741	#2517	—	43	1	no	—
742	#2510	—	43	1	no	—
743	#2510	—	43	1	no	—
744	#2505	—	43	1	no	—
745	#2505	—	43	1	no	—
746	#2493	—	43	1	no	—
747	#2493	—	43	1	no	—
748	#2488	—	43	1	no	—
749	#2488	—	43	1	no	—
750	#2483	—	43	1	no	—
751	#2437	—	43	1	no	—
752	#2412	—	43	1	no	—
753	#2412	—	43	1	no	—
754	#2401	—	43	1	no	—
755	#2401	—	43	1	no	—
756	#2398	—	43	1	no	—
757	#2395	—	43	1	no	—
758	C₄×C₂²⋊Q₈	—	43	1	no	—
759	C₄×C₂²⋊Q₈	—	43	1	no	—
760	C₄×#123	—	43	1	no	—
761	C₄×#123	—	43	1	no	—
762	C₄×#120	—	43	1	no	—
763	#2290	—	43	1	no	—
764	#2290	—	43	1	no	—
765	#2283	—	43	1	no	—
766	#2283	—	43	1	no	—
767	C₂×C₄×C₂²⋊C₄	—	43	1	no	—
768	C₂×C₄×C₂²⋊C₄	D₄₃	1	1	yes	characteristic, complemented
769	C₂×C₄₃	—	2	4	no	—
770	C₂×C₄₃	—	2	4	no	—
771	C₂×C₄₃	—	4	2	no	—
772	C₂×C₄₃	C₂×#529	1	1	yes	characteristic
773	C₂×C₄₃	C₂×#529	1	1	yes	characteristic
774	C₂×C₄₃	#3459	1	1	yes	characteristic
775	C₂×C₄₃	C₂×#551	1	1	yes	characteristic
776	C₂×C₄₃	#3475	1	1	yes	characteristic
777	C₂×C₄₃	#3475	1	1	yes	characteristic
778	C₂×C₄₃	#3481	1	1	yes	characteristic
779	D₄₃	—	8	1	no	—
780	C₂⁴×C₄	C₂×D₄₃	1	1	yes	characteristic
781	C₂×#123	—	43	1	no	—
782	C₂×#123	—	43	1	no	—
783	C₂×C₂²⋊Q₈	—	43	1	no	—
784	C₂×C₂²⋊Q₈	—	43	1	no	—
785	C₂×#120	—	43	1	no	—
786	C₂×C₄×Q₈	—	43	1	no	—
787	C₂×C₄×D₄	—	43	1	no	—
788	C₂×C₄×D₄	—	43	1	no	—
789	C₂×C₄×D₄	—	43	1	no	—
790	C₂×#117	—	43	1	no	—
791	C₂²×C₂²⋊C₄	—	43	1	no	—
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	C₂²×C₄²	—	43	1	no	—
797	C₂²×C₄²	C₂×D₄₃	1	1	yes	characteristic
798	C₂²×C₄²	C₂×D₄₃	1	1	yes	characteristic
799	#401	—	43	1	no	—
800	#401	—	43	1	no	—
801	#400	—	43	1	no	—
802	#400	—	43	1	no	—
803	#400	—	43	1	no	—
804	#400	—	43	1	no	—
805	#400	—	43	1	no	—
806	#400	—	43	1	no	—
807	#400	—	43	1	no	—
808	#400	—	43	1	no	—
809	#400	—	43	1	no	—
810	#399	—	43	1	no	—
811	#398	—	43	1	no	—
812	#397	—	43	1	no	—
813	#397	—	43	1	no	—
814	#397	—	43	1	no	—
815	#397	—	43	1	no	—
816	#397	—	43	1	no	—
817	#397	—	43	1	no	—
818	#397	—	43	1	no	—
819	#397	—	43	1	no	—
820	#397	—	43	1	no	—
821	#397	—	43	1	no	—
822	#397	—	43	1	no	—
823	#396	—	43	1	no	—
824	#396	—	43	1	no	—
825	#394	—	43	1	no	—
826	#394	—	43	1	no	—
827	#394	—	43	1	no	—
828	#394	—	43	1	no	—
829	#393	—	43	1	no	—
830	#393	—	43	1	no	—
831	#391	—	43	1	no	—
832	#391	—	43	1	no	—
833	#389	—	43	1	no	—
834	#389	—	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	#387	—	43	1	no	—
844	#387	—	43	1	no	—
845	#387	—	43	1	no	—
846	#387	—	43	1	no	—
847	#387	—	43	1	no	—
848	#387	—	43	1	no	—
849	#387	—	43	1	no	—
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	#386	—	43	1	no	—
856	#386	—	43	1	no	—
857	#386	—	43	1	no	—
858	#386	—	43	1	no	—
859	#386	—	43	1	no	—
860	#386	—	43	1	no	—
861	#386	—	43	1	no	—
862	#386	—	43	1	no	—
863	#386	—	43	1	no	—
864	#385	—	43	1	no	—
865	#385	—	43	1	no	—
866	#385	—	43	1	no	—
867	#385	—	43	1	no	—
868	#385	—	43	1	no	—
869	#385	—	43	1	no	—
870	#385	—	43	1	no	—
871	#385	—	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	#383	—	43	1	no	—
878	#383	—	43	1	no	—
879	#383	—	43	1	no	—
880	#383	—	43	1	no	—
881	#382	—	43	1	no	—
882	#382	—	43	1	no	—
883	#382	—	43	1	no	—
884	#382	—	43	1	no	—
885	#381	—	43	1	no	—
886	#381	—	43	1	no	—
887	#381	—	43	1	no	—
888	#381	—	43	1	no	—
889	#381	—	43	1	no	—
890	#381	—	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	—	43	1	no	—
896	#380	—	43	1	no	—
897	#379	—	43	1	no	—
898	C₄×C₄⋊C₄	—	43	1	no	—
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×C₂²⋊C₄	—	43	1	no	—
907	C₄×C₂²⋊C₄	—	43	1	no	—
908	C₄×C₂²⋊C₄	—	43	1	no	—
909	C₄×C₂²⋊C₄	—	43	1	no	—
910	C₄×C₂²⋊C₄	—	43	1	no	—
911	C₄×C₂²⋊C₄	—	43	1	no	—
912	C₄×C₂²⋊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	C₂×D₄₃	1	1	yes	characteristic
921	C₄×C₂²⋊C₄	C₂×D₄₃	1	1	yes	characteristic
922	C₄×C₂²⋊C₄	C₂×D₄₃	1	1	yes	characteristic
923	C₄×C₂²⋊C₄	C₂×D₄₃	1	1	yes	characteristic
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	C₄×C₂²⋊C₄	C₂×D₄₃	1	1	yes	characteristic
928	#376	—	43	1	no	—
929	#376	—	43	1	no	—
930	#376	—	43	1	no	—
931	C₂×#95	—	43	1	no	—
932	C₂×#95	—	43	1	no	—
933	C₂×#95	C₂×D₄₃	1	1	yes	characteristic
934	C₂×#95	C₂×D₄₃	1	1	yes	characteristic
935	C₄₃	#34754	1	1	yes	characteristic, complemented, Sylow
936	C₂⁵	C₂²×D₄₃	1	1	yes	characteristic
937	C₂²×Q₈	—	43	1	no	—
938	C₂²×D₄	—	43	1	no	—
939	C₂²×D₄	—	43	1	no	—
940	C₂²×D₄	—	43	1	no	—
941	C₂³×C₄	—	2	4	no	—
942	C₂³×C₄	—	2	4	no	—
943	C₂³×C₄	—	4	2	no	—
944	C₂³×C₄	—	43	1	no	—
945	C₂³×C₄	—	43	1	no	—
946	C₂³×C₄	—	43	1	no	—
947	C₂³×C₄	—	43	1	no	—
948	C₂³×C₄	—	43	1	no	—
949	C₂³×C₄	C₂²×D₄₃	1	1	yes	characteristic
950	C₂³×C₄	C₂²×D₄₃	1	1	yes	characteristic
951	C₂³×C₄	C₂²×D₄₃	1	1	yes	characteristic
952	C₂³×C₄	C₂²×D₄₃	1	1	yes	characteristic
953	C₂³×C₄	C₂²×D₄₃	1	1	yes	characteristic
954	C₂³×C₄	C₂²×D₄₃	1	1	yes	characteristic
955	C₂³×C₄	C₂²×D₄₃	1	1	yes	characteristic
956	C₂³×C₄	C₂²×D₄₃	1	1	yes	characteristic
957	C₂³×C₄	C₂²×D₄₃	1	1	yes	characteristic
958	C₂³×C₄	C₂²×D₄₃	1	1	yes	characteristic
959	#123	—	86	4	no	—
960	#123	—	86	4	no	—
961	C₂²⋊Q₈	—	86	4	no	—
962	C₂²⋊Q₈	—	86	4	no	—
963	#120	—	86	4	no	—
964	C₄×Q₈	—	172	2	no	—
965	C₄×D₄	—	86	4	no	—
966	C₄×D₄	—	86	4	no	—
967	C₄×D₄	—	172	2	no	—
968	#117	—	172	2	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	—	43	1	no	—
989	C₂×C₄⋊C₄	—	43	1	no	—
990	C₂×C₄⋊C₄	—	43	1	no	—
991	C₂×C₄⋊C₄	—	43	1	no	—
992	C₂×C₄⋊C₄	—	43	1	no	—
993	C₂×C₂²⋊C₄	—	2	4	no	—
994	C₂×C₂²⋊C₄	—	2	4	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	—	43	1	no	—
1023	C₂×C₂²⋊C₄	—	86	4	no	—
1024	C₂×C₂²⋊C₄	—	86	4	no	—
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×C₄²	—	2	4	no	—
1034	C₂×C₄²	—	4	2	no	—
1035	C₂×C₄²	—	43	1	no	—
1036	C₂×C₄²	—	43	1	no	—
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	—	86	4	no	—
1047	C₂×C₄²	—	172	2	no	—
1048	C₂×C₄²	C₂²×D₄₃	1	1	yes	characteristic
1049	C₂×C₄²	C₂²×D₄₃	1	1	yes	characteristic
1050	C₂×C₄²	C₂²×D₄₃	1	1	yes	characteristic
1051	C₂×C₄²	C₂²×D₄₃	1	1	yes	characteristic
1052	C₂×C₄²	C₂²×D₄₃	1	1	yes	characteristic
1053	C₂×C₄²	C₂²×D₄₃	1	1	yes	characteristic
1054	C₂×C₄²	C₂²×D₄₃	1	1	yes	characteristic
1055	C₂×C₄²	C₂²×D₄₃	1	1	yes	characteristic
1056	#95	—	43	1	no	—
1057	#95	—	43	1	no	—
1058	#95	—	43	1	no	—
1059	#95	—	43	1	no	—
1060	#95	—	43	1	no	—
1061	#95	—	43	1	no	—
1062	#95	—	43	1	no	—
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	—	43	1	no	—
1100	#95	—	43	1	no	—
1101	#95	—	43	1	no	—
1102	#95	—	43	1	no	—
1103	#95	—	43	1	no	—
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	#95	C₂²×D₄₃	1	1	yes	characteristic
1108	#95	C₂²×D₄₃	1	1	yes	characteristic
1109	#95	C₂²×D₄₃	1	1	yes	characteristic
1110	#95	C₂²×D₄₃	1	1	yes	characteristic
1111	#95	C₂²×D₄₃	1	1	yes	characteristic
1112	C₂⁴	—	2	2	no	—
1113	C₂⁴	—	2	2	no	—
1114	C₂⁴	—	2	2	no	—
1115	C₂⁴	—	2	2	no	—
1116	C₂⁴	—	4	1	no	—
1117	C₂⁴	—	4	1	no	—
1118	C₂⁴	—	43	1	no	—
1119	C₂⁴	#10621898	1	4	yes	—
1120	C₂⁴	C₂³×D₄₃	1	1	yes	characteristic
1121	C₂⁴	C₂³×D₄₃	1	1	yes	characteristic
1122	C₂⁴	C₂³×D₄₃	1	1	yes	characteristic
1123	C₂×Q₈	—	86	2	no	—
1124	C₂×Q₈	—	86	2	no	—
1125	C₂×Q₈	—	172	1	no	—
1126	C₂×D₄	—	86	2	no	—
1127	C₂×D₄	—	86	2	no	—
1128	C₂×D₄	—	86	2	no	—
1129	C₂×D₄	—	86	2	no	—
1130	C₂×D₄	—	86	2	no	—
1131	C₂×D₄	—	86	2	no	—
1132	C₂×D₄	—	86	2	no	—
1133	C₂×D₄	—	172	1	no	—
1134	C₂×D₄	—	172	1	no	—
1135	C₂²×C₄	—	2	2	no	—
1136	C₂²×C₄	—	2	2	no	—
1137	C₂²×C₄	—	2	2	no	—
1138	C₂²×C₄	—	2	2	no	—
1139	C₂²×C₄	—	2	2	no	—
1140	C₂²×C₄	—	2	2	no	—
1141	C₂²×C₄	—	2	2	no	—
1142	C₂²×C₄	—	2	2	no	—
1143	C₂²×C₄	—	2	2	no	—
1144	C₂²×C₄	—	2	2	no	—
1145	C₂²×C₄	—	2	2	no	—
1146	C₂²×C₄	—	2	2	no	—
1147	C₂²×C₄	—	2	2	no	—
1148	C₂²×C₄	—	2	2	no	—
1149	C₂²×C₄	—	2	2	no	—
1150	C₂²×C₄	—	2	2	no	—
1151	C₂²×C₄	—	2	2	no	—
1152	C₂²×C₄	—	2	2	no	—
1153	C₂²×C₄	—	2	2	no	—
1154	C₂²×C₄	—	2	2	no	—
1155	C₂²×C₄	—	2	2	no	—
1156	C₂²×C₄	—	4	1	no	—
1157	C₂²×C₄	—	4	1	no	—
1158	C₂²×C₄	—	4	1	no	—
1159	C₂²×C₄	—	4	1	no	—
1160	C₂²×C₄	—	4	1	no	—
1161	C₂²×C₄	—	4	1	no	—
1162	C₂²×C₄	—	4	1	no	—
1163	C₂²×C₄	—	4	16	no	—
1164	C₂²×C₄	—	43	1	no	—
1165	C₂²×C₄	—	43	1	no	—
1166	C₂²×C₄	—	43	1	no	—
1167	C₂²×C₄	—	43	1	no	—
1168	C₂²×C₄	—	43	1	no	—
1169	C₂²×C₄	—	43	1	no	—
1170	C₂²×C₄	—	43	1	no	—
1171	C₂²×C₄	—	43	1	no	—
1172	C₂²×C₄	—	43	1	no	—
1173	C₂²×C₄	—	43	1	no	—
1174	C₂²×C₄	—	43	1	no	—
1175	C₂²×C₄	—	43	1	no	—
1176	C₂²×C₄	—	43	1	no	—
1177	C₂²×C₄	—	43	1	no	—
1178	C₂²×C₄	—	43	1	no	—
1179	C₂²×C₄	—	86	2	no	—
1180	C₂²×C₄	—	86	2	no	—
1181	C₂²×C₄	—	86	2	no	—
1182	C₂²×C₄	—	86	2	no	—
1183	C₂²×C₄	—	86	2	no	—
1184	C₂²×C₄	—	86	2	no	—
1185	C₂²×C₄	—	86	2	no	—
1186	C₂²×C₄	—	86	2	no	—
1187	C₂²×C₄	—	86	2	no	—
1188	C₂²×C₄	—	86	2	no	—
1189	C₂²×C₄	—	86	2	no	—
1190	C₂²×C₄	—	172	1	no	—
1191	C₂²×C₄	—	172	1	no	—
1192	C₂²×C₄	—	172	1	no	—
1193	C₂²×C₄	—	172	1	no	—
1194	C₂²×C₄	#10621898	1	4	yes	—
1195	C₂²×C₄	#10621900	1	4	yes	—
1196	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
1197	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
1198	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
1199	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
1200	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
1201	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
1202	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
1203	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
1204	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
1205	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
1206	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
1207	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
1208	C₄⋊C₄	—	86	2	no	—
1209	C₄⋊C₄	—	86	2	no	—
1210	C₄⋊C₄	—	86	2	no	—
1211	C₄⋊C₄	—	86	2	no	—
1212	C₄⋊C₄	—	86	2	no	—
1213	C₄⋊C₄	—	86	2	no	—
1214	C₄⋊C₄	—	86	2	no	—
1215	C₄⋊C₄	—	86	2	no	—
1216	C₄⋊C₄	—	86	2	no	—
1217	C₄⋊C₄	—	86	2	no	—
1218	C₄⋊C₄	—	86	2	no	—
1219	C₄⋊C₄	—	86	2	no	—
1220	C₄⋊C₄	—	172	1	no	—
1221	C₄⋊C₄	—	172	1	no	—
1222	C₄⋊C₄	—	172	1	no	—
1223	C₄⋊C₄	—	172	1	no	—
1224	C₄⋊C₄	—	172	1	no	—
1225	C₄⋊C₄	—	172	1	no	—
1226	C₄⋊C₄	—	172	1	no	—
1227	C₄⋊C₄	—	172	1	no	—
1228	C₄⋊C₄	—	172	1	no	—
1229	C₄⋊C₄	—	172	1	no	—
1230	C₄⋊C₄	—	172	1	no	—
1231	C₄⋊C₄	—	172	1	no	—
1232	C₂²⋊C₄	—	2	2	no	—
1233	C₂²⋊C₄	—	2	2	no	—
1234	C₂²⋊C₄	—	2	2	no	—
1235	C₂²⋊C₄	—	2	2	no	—
1236	C₂²⋊C₄	—	2	2	no	—
1237	C₂²⋊C₄	—	2	2	no	—
1238	C₂²⋊C₄	—	2	2	no	—
1239	C₂²⋊C₄	—	43	4	no	—
1240	C₂²⋊C₄	—	86	2	no	—
1241	C₂²⋊C₄	—	86	2	no	—
1242	C₂²⋊C₄	—	86	2	no	—
1243	C₂²⋊C₄	—	86	2	no	—
1244	C₂²⋊C₄	—	86	2	no	—
1245	C₂²⋊C₄	—	86	2	no	—
1246	C₂²⋊C₄	—	86	2	no	—
1247	C₂²⋊C₄	—	86	2	no	—
1248	C₂²⋊C₄	—	86	2	no	—
1249	C₂²⋊C₄	—	86	2	no	—
1250	C₂²⋊C₄	—	86	2	no	—
1251	C₂²⋊C₄	—	86	2	no	—
1252	C₂²⋊C₄	—	86	2	no	—
1253	C₂²⋊C₄	—	86	2	no	—
1254	C₂²⋊C₄	—	86	2	no	—
1255	C₂²⋊C₄	—	86	2	no	—
1256	C₂²⋊C₄	—	86	2	no	—
1257	C₂²⋊C₄	—	86	2	no	—
1258	C₂²⋊C₄	—	86	2	no	—
1259	C₂²⋊C₄	—	86	2	no	—
1260	C₂²⋊C₄	—	172	1	no	—
1261	C₂²⋊C₄	—	172	1	no	—
1262	C₂²⋊C₄	—	172	1	no	—
1263	C₂²⋊C₄	—	172	1	no	—
1264	C₂²⋊C₄	—	172	1	no	—
1265	C₂²⋊C₄	—	172	1	no	—
1266	C₂²⋊C₄	—	172	1	no	—
1267	C₂²⋊C₄	#10621898	1	4	yes	—
1268	C₄²	—	2	2	no	—
1269	C₄²	—	2	2	no	—
1270	C₄²	—	2	2	no	—
1271	C₄²	—	2	2	no	—
1272	C₄²	—	2	2	no	—
1273	C₄²	—	2	2	no	—
1274	C₄²	—	4	1	no	—
1275	C₄²	—	4	1	no	—
1276	C₄²	—	86	2	no	—
1277	C₄²	—	86	2	no	—
1278	C₄²	—	86	2	no	—
1279	C₄²	—	86	2	no	—
1280	C₄²	—	86	2	no	—
1281	C₄²	—	86	2	no	—
1282	C₄²	—	86	2	no	—
1283	C₄²	—	86	2	no	—
1284	C₄²	—	86	2	no	—
1285	C₄²	—	172	1	no	—
1286	C₄²	—	172	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	8	no	—
1296	C₂³	—	2	8	no	—
1297	C₂³	—	2	1	no	—
1298	C₂³	—	2	1	no	—
1299	C₂³	—	2	1	no	—
1300	C₂³	—	2	1	no	—
1301	C₂³	—	2	1	no	—
1302	C₂³	—	2	1	no	—
1303	C₂³	—	4	4	no	—
1304	C₂³	—	4	4	no	—
1305	C₂³	—	4	4	no	—
1306	C₂³	—	4	4	no	—
1307	C₂³	—	4	4	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	—	86	1	no	—
1314	C₂³	—	86	1	no	—
1315	C₂³	#41×D₄₃	1	2	yes	—
1316	C₂³	C₂×#10621900	1	2	yes	—
1317	C₂³	C₂×#10621898	1	2	yes	—
1318	C₂³	C₂×#10621898	1	2	yes	—
1319	C₂³	C₂×#10621898	1	2	yes	—
1320	C₂³	C₂×#10621898	1	2	yes	—
1321	C₂³	C₂×#10621898	1	2	yes	—
1322	C₂³	C₂⁴×D₄₃	1	1	yes	characteristic
1323	Q₈	—	172	4	no	—
1324	D₄	—	172	4	no	—
1325	D₄	—	172	4	no	—
1326	D₄	—	172	4	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	8	no	—
1336	C₂×C₄	—	2	8	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	—	2	1	no	—
1353	C₂×C₄	—	2	1	no	—
1354	C₂×C₄	—	2	1	no	—
1355	C₂×C₄	—	2	1	no	—
1356	C₂×C₄	—	2	1	no	—
1357	C₂×C₄	—	2	1	no	—
1358	C₂×C₄	—	4	4	no	—
1359	C₂×C₄	—	4	4	no	—
1360	C₂×C₄	—	4	4	no	—
1361	C₂×C₄	—	4	4	no	—
1362	C₂×C₄	—	4	4	no	—
1363	C₂×C₄	—	4	4	no	—
1364	C₂×C₄	—	4	4	no	—
1365	C₂×C₄	—	4	4	no	—
1366	C₂×C₄	—	43	2	no	—
1367	C₂×C₄	—	43	2	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	—	86	1	no	—
1402	C₂×C₄	—	86	1	no	—
1403	C₂×C₄	—	86	1	no	—
1404	C₂×C₄	—	86	1	no	—
1405	C₂×C₄	—	86	1	no	—
1406	C₂×C₄	—	86	1	no	—
1407	C₂×C₄	—	86	1	no	—
1408	C₂×C₄	—	86	1	no	—
1409	C₂×C₄	—	86	1	no	—
1410	C₂×C₄	—	86	1	no	—
1411	C₂×C₄	—	172	4	no	—
1412	C₂×C₄	—	172	4	no	—
1413	C₂×C₄	—	172	4	no	—
1414	C₂×C₄	—	172	4	no	—
1415	C₂×C₄	—	172	4	no	—
1416	C₂×C₄	C₂×#10621900	1	2	yes	—
1417	C₂×C₄	C₂×#10621900	1	2	yes	—
1418	C₂×C₄	C₂×#10621898	1	2	yes	—
1419	C₂×C₄	C₂×#10621898	1	2	yes	—
1420	C₂×C₄	C₂×#10621898	1	2	yes	—
1421	C₂×C₄	C₂×#10621898	1	2	yes	—
1422	C₂×C₄	#13063370	1	2	yes	—
1423	C₂²	—	2	2	no	—
1424	C₂²	—	2	2	no	—
1425	C₂²	—	2	2	no	—
1426	C₂²	—	2	2	no	—
1427	C₂²	—	2	2	no	—
1428	C₂²	—	2	2	no	—
1429	C₂²	—	2	2	no	—
1430	C₂²	—	2	2	no	—
1431	C₂²	—	2	2	no	—
1432	C₂²	—	2	2	no	—
1433	C₂²	—	2	2	no	—
1434	C₂²	—	2	2	no	—
1435	C₂²	—	2	2	no	—
1436	C₂²	—	2	2	no	—
1437	C₂²	—	2	2	no	—
1438	C₂²	—	4	16	no	—
1439	C₂²	—	4	1	no	—
1440	C₂²	—	4	1	no	—
1441	C₂²	—	4	1	no	—
1442	C₂²	—	4	1	no	—
1443	C₂²	—	172	1	no	—
1444	C₂²	—	172	1	no	—
1445	C₂²	—	172	1	no	—
1446	C₂²	—	172	1	no	—
1447	C₂²	—	172	1	no	—
1448	C₂²	—	172	1	no	—
1449	C₂²	—	172	1	no	—
1450	C₂²	#14583429	1	4	yes	—
1451	C₂²	#14583433	1	4	yes	—
1452	C₂²	C₂×#41×D₄₃	1	1	yes	characteristic
1453	C₂²	C₂²×#10621900	1	1	yes	characteristic
1454	C₂²	C₂²×#10621898	1	1	yes	characteristic
1455	C₂²	C₂²×#10621898	1	1	yes	characteristic
1456	C₂²	C₂²×#10621898	1	1	yes	characteristic
1457	C₂²	C₂×#13063370	1	1	yes	characteristic
1458	C₂²	#14583735	1	1	yes	characteristic
1459	C₄	—	2	2	no	—
1460	C₄	—	2	2	no	—
1461	C₄	—	2	2	no	—
1462	C₄	—	2	2	no	—
1463	C₄	—	4	1	no	—
1464	C₄	—	4	1	no	—
1465	C₄	—	4	1	no	—
1466	C₄	—	4	1	no	—
1467	C₄	—	4	1	no	—
1468	C₄	—	4	1	no	—
1469	C₄	—	4	1	no	—
1470	C₄	—	86	2	no	—
1471	C₄	—	86	2	no	—
1472	C₄	—	172	1	no	—
1473	C₄	—	172	1	no	—
1474	C₄	—	172	1	no	—
1475	C₄	—	172	1	no	—
1476	C₄	—	172	1	no	—
1477	C₄	—	172	1	no	—
1478	C₄	—	172	1	no	—
1479	C₄	—	172	1	no	—
1480	C₄	—	172	1	no	—
1481	C₄	—	172	1	no	—
1482	C₄	—	172	1	no	—
1483	C₄	—	172	1	no	—
1484	C₄	—	172	1	no	—
1485	C₄	#14583575	1	4	yes	—
1486	C₂	—	2	4	no	—
1487	C₂	—	2	4	no	—
1488	C₂	—	4	2	no	—
1489	C₂	—	344	1	no	—
1490	C₂	C₂×#14583429	1	1	yes	characteristic
1491	C₂	C₂×#14583433	1	1	yes	characteristic
1492	C₂	#19148004	1	1	yes	characteristic
1493	C₂	C₂×#14583575	1	1	yes	characteristic
1494	C₂	#19148149	1	1	yes	characteristic
1495	C₂	#19148153	1	1	yes	characteristic
1496	C₂	#19148199	1	1	yes	characteristic

	subgroup	G/H
center	C₂²×C₄	C₂³×D₄₃
commutator, socle, cosocle	C₂³×C₄₃	C₂⁵
Frattini	C₂³	C₂⁴×D₄₃
Fitting	C₂×C₄×C₂²⋊C₄×C₄₃	C₂
prime radical	C₂×#13063294	C₂²
hypercenter	C₂×C₄×C₂²⋊C₄	D₄₃
hypocenter	C₄₃	#34754
LCS	G ▷ C₂³×C₄₃ ▷ C₄₃
UCS	C₁ ◁ C₂²×C₄ ◁ C₂×C₄×C₂²⋊C₄

Complements

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

N	H ≅ G/N	type
1. #19139322	C₂	semidirect
2. #19139253	C₂	semidirect
3. #19139247	C₂	semidirect
4. #19139238	C₂	semidirect
5. #19139155	C₂	semidirect
6. #19139149	C₂	semidirect
7. #19139096	C₂	semidirect
8. #19139090	C₂	semidirect
9. #19138980	C₂	semidirect
10. #19138974	C₂	semidirect
11. #19138921	C₂	semidirect
12. #19138915	C₂	semidirect
13. #19138873	C₂	semidirect
14. #19138256	C₂	semidirect
17. #19137895	C₂	semidirect
18. #19137895	C₂	semidirect
19. #19137882	C₂	semidirect
20. #19137856	C₂	semidirect
21. C₄×#13063304	C₂	semidirect
22. C₄×#13063302	C₂	semidirect
23. C₄×#13063309	C₂	semidirect
24. C₄×#13063308	C₂	semidirect
26. #19137038	C₂	semidirect
27. #19137034	C₂	semidirect
28. #19136993	C₂	semidirect
29. #19136989	C₂	semidirect
30. C₂×C₄×C₂²⋊Dic₄₃	C₂	semidirect
31. C₂×C₄×C₂²⋊C₄×C₄₃	C₂	semidirect
37. C₂×C₄×Dic₈₆	C₂²	semidirect
41. C₂×#13063282	C₂²	semidirect
46. C₄₃⋊#401	C₂²	semidirect
47. C₄₃⋊#401	C₂²	semidirect
48. #14582841	C₂²	semidirect
49. #14582841	C₂²	semidirect
50. #14582841	C₂²	semidirect
51. #14582840	C₂²	semidirect
52. #14582840	C₂²	semidirect
53. #14582840	C₂²	semidirect
54. #14582840	C₂²	semidirect
55. #14582839	C₂²	semidirect
56. #14582839	C₂²	semidirect
58. #14582833	C₂²	semidirect
59. #14582828	C₂²	semidirect
60. #14582828	C₂²	semidirect
67. #14582826	C₂²	semidirect
76. #14582812	C₂²	semidirect
78. #14582805	C₂²	semidirect
79. #14582803	C₂²	semidirect
80. #14582797	C₂²	semidirect
81. #14582796	C₂²	semidirect
82. #14582791	C₂²	semidirect
83. #14582791	C₂²	semidirect
84. #14582790	C₂²	semidirect
85. #14582790	C₂²	semidirect
86. #14582790	C₂²	semidirect
87. #14582790	C₂²	semidirect
88. #14582788	C₂²	semidirect
89. #14582788	C₂²	semidirect
90. #14582786	C₂²	semidirect
91. #14582784	C₂²	semidirect
92. #14582784	C₂²	semidirect
93. #14582783	C₂²	semidirect
94. #14582783	C₂²	semidirect
95. #14582783	C₂²	semidirect
96. #14582783	C₂²	semidirect
97. #14582783	C₂²	semidirect
98. #14582783	C₂²	semidirect
99. #14582782	C₂²	semidirect
100. #14582781	C₂²	semidirect
101. #14582781	C₂²	semidirect
124. #14582767	C₂²	semidirect
125. #14582767	C₂²	semidirect
126. #14582766	C₂²	semidirect
127. #14582766	C₂²	semidirect
128. #14582765	C₂²	semidirect
129. #14582765	C₂²	semidirect
130. #14582763	C₂²	semidirect
131. #14582763	C₂²	semidirect
145. C₄×Dic₄₃⋊C₄	C₂²	semidirect
146. C₄×Dic₄₃⋊C₄	C₂²	semidirect
147. C₄×Dic₄₃⋊C₄	C₂²	semidirect
148. C₄×Dic₄₃⋊C₄	C₂²	semidirect
149. C₄×Dic₄₃⋊C₄	C₂²	semidirect
150. C₄×C₄⋊Dic₄₃	C₂²	semidirect
151. C₄×C₄⋊Dic₄₃	C₂²	semidirect
152. C₄×C₄⋊Dic₄₃	C₂²	semidirect
153. C₄×(C₂×D₄₃)⋊C₄	C₂²	semidirect
154. C₄×(C₂×D₄₃)⋊C₄	C₂²	semidirect
155. C₄×(C₂×D₄₃)⋊C₄	C₂²	semidirect
167. #14582745	C₂²	semidirect
168. #14582745	C₂²	semidirect
169. #14582745	C₂²	semidirect
768. C₂×C₄×C₂²⋊C₄	D₄₃	semidirect
935. C₄₃	#34754	semidirect

Maximal subgroups

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

subgroup	index
#19139322	2
#19139253	2
#19139247	2
#19139238	2
#19139155	2
#19139149	2
#19139096	2
#19139090	2
#19138980	2
#19138974	2
#19138921	2
#19138915	2
#19138873	2
#19138256	2
#19137991	2
#19137985	2
#19137895	2
#19137882	2
#19137856	2
C₄×#13063304	2
C₄×#13063302	2
C₄×#13063309	2
C₄×#13063308	2
C₄×#13063294	2
#19137038	2
#19137034	2
#19136993	2
#19136989	2
C₂×C₄×C₂²⋊Dic₄₃	2
C₂×C₄×C₂²⋊C₄×C₄₃	2
#34754	43