Subgroups — #25269936

Order 11008.

1840 conjugacy classes of subgroups.

The subgroup lattice has 1456 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#19142987	C₂	1	1	yes	maximal, characteristic, complemented
2	#19142984	C₂	1	1	yes	maximal, characteristic, complemented
3	#19142917	C₂	1	1	yes	maximal, characteristic, complemented
4	#19142910	C₂	1	1	yes	maximal, characteristic, complemented
5	#19140667	C₂	1	1	yes	maximal, characteristic, complemented
6	#19140652	C₂	1	1	yes	maximal, characteristic, complemented
7	#19140607	C₂	1	1	yes	maximal, characteristic, complemented
8	#19140592	C₂	1	1	yes	maximal, characteristic, complemented
9	#19140140	C₂	1	1	yes	maximal, characteristic, complemented
10	#19140125	C₂	1	1	yes	maximal, characteristic, complemented
11	#19140110	C₂	1	1	yes	maximal, characteristic, complemented
12	#19140095	C₂	1	1	yes	maximal, characteristic, complemented
13	#19139814	C₂	1	1	yes	maximal, characteristic, complemented
14	#19139771	C₂	1	1	yes	maximal, characteristic, complemented
15	#19139748	C₂	1	1	yes	maximal, characteristic, complemented
16	#19139481	C₂	1	1	yes	maximal, characteristic
17	#19139352	C₂	1	1	yes	maximal, characteristic, complemented
18	#19139229	C₂	1	1	yes	maximal, characteristic, complemented
19	#19138974	C₂	1	1	yes	maximal, characteristic, complemented
20	#19138841	C₂	1	1	yes	maximal, characteristic, complemented
21	#19138676	C₂	1	1	yes	maximal, characteristic, complemented
22	#19138517	C₂	1	1	yes	maximal, characteristic, complemented
23	#19138066	C₂	1	1	yes	maximal, characteristic, complemented
24	#19138051	C₂	1	1	yes	maximal, characteristic
25	#19137260	C₂	1	1	yes	maximal, characteristic, complemented
26	#19137249	C₂	1	1	yes	maximal, characteristic
27	#19137195	C₂	1	1	yes	maximal, characteristic, complemented
28	#19137190	C₂	1	1	yes	maximal, characteristic, complemented
29	C₄×#13063304	C₂	1	1	yes	maximal, characteristic, complemented
30	C₂×#14582790	C₂	1	1	yes	maximal, characteristic, complemented
31	C₄²×D₄×C₄₃	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂×#13063319	C₂²	1	1	yes	characteristic
33	C₂×#13063308	C₂²	1	1	yes	characteristic
34	C₂×#13063306	C₂²	1	1	yes	characteristic
35	C₂×#13063304	C₂²	1	1	yes	characteristic
36	C₂×#13063293	C₂²	1	1	yes	characteristic
37	C₂×C₄×Dic₈₆	C₂²	1	1	yes	characteristic, complemented
38	C₂²×Dic₄₃⋊C₄	C₂²	1	1	yes	characteristic
39	C₂²×(C₂×D₄₃)⋊C₄	C₂²	1	1	yes	characteristic
40	C₂²×(C₂×D₄₃)⋊C₄	C₂²	1	1	yes	characteristic
41	C₂²×(C₂×D₄₃)⋊C₄	C₂²	1	1	yes	characteristic
42	C₄₃⋊#401	C₂²	1	1	yes	characteristic, complemented
43	#14582841	C₂²	1	1	yes	characteristic, complemented
44	#14582841	C₂²	1	1	yes	characteristic, complemented
45	#14582840	C₂²	1	1	yes	characteristic, complemented
46	#14582840	C₂²	1	1	yes	characteristic, complemented
47	#14582840	C₂²	1	1	yes	characteristic, complemented
48	#14582838	C₂²	1	1	yes	characteristic, complemented
49	#14582837	C₂²	1	1	yes	characteristic, complemented
50	#14582835	C₂²	1	1	yes	characteristic, complemented
51	#14582834	C₂²	1	1	yes	characteristic
52	#14582833	C₂²	1	1	yes	characteristic, complemented
53	#14582833	C₂²	1	1	yes	characteristic, complemented
54	#14582830	C₂²	1	1	yes	characteristic, complemented
55	#14582828	C₂²	1	1	yes	characteristic
56	#14582828	C₂²	1	1	yes	characteristic
57	#14582828	C₂²	1	1	yes	characteristic
58	#14582827	C₂²	1	1	yes	characteristic, complemented
59	#14582827	C₂²	1	1	yes	characteristic, complemented
60	#14582826	C₂²	1	1	yes	characteristic
61	#14582826	C₂²	1	1	yes	characteristic
62	#14582825	C₂²	1	1	yes	characteristic
63	#14582823	C₂²	1	1	yes	characteristic
64	#14582821	C₂²	1	1	yes	characteristic
65	#14582821	C₂²	1	1	yes	characteristic
66	#14582819	C₂²	1	1	yes	characteristic, complemented
67	#14582815	C₂²	1	1	yes	characteristic
68	#14582815	C₂²	1	1	yes	characteristic
69	#14582814	C₂²	1	1	yes	characteristic
70	#14582814	C₂²	1	1	yes	characteristic
71	#14582812	C₂²	1	1	yes	characteristic
72	#14582812	C₂²	1	1	yes	characteristic
73	#14582811	C₂²	1	1	yes	characteristic, complemented
74	#14582805	C₂²	1	1	yes	characteristic, complemented
75	#14582799	C₂²	1	1	yes	characteristic
76	#14582799	C₂²	1	1	yes	characteristic
77	#14582797	C₂²	1	1	yes	characteristic, complemented
78	#14582794	C₂²	1	1	yes	characteristic, complemented
79	#14582794	C₂²	1	1	yes	characteristic, complemented
80	#14582793	C₂²	1	1	yes	characteristic, complemented
81	#14582793	C₂²	1	1	yes	characteristic, complemented
82	#14582790	C₂²	1	1	yes	characteristic
83	#14582790	C₂²	1	1	yes	characteristic
84	#14582790	C₂²	1	1	yes	characteristic
85	#14582790	C₂²	1	1	yes	characteristic
86	#14582790	C₂²	1	1	yes	characteristic
87	#14582790	C₂²	1	1	yes	characteristic
88	#14582790	C₂²	1	1	yes	characteristic
89	#14582790	C₂²	1	1	yes	characteristic
90	#14582790	C₂²	1	1	yes	characteristic
91	#14582790	C₂²	1	1	yes	characteristic
92	#14582790	C₂²	1	1	yes	characteristic
93	#14582790	C₂²	1	1	yes	characteristic
94	#14582790	C₂²	1	1	yes	characteristic
95	#14582790	C₂²	1	1	yes	characteristic
96	#14582790	C₂²	1	1	yes	characteristic
97	#14582790	C₂²	1	1	yes	characteristic
98	#14582790	C₂²	1	1	yes	characteristic
99	#14582790	C₂²	1	1	yes	characteristic
100	#14582790	C₂²	1	1	yes	characteristic
101	#14582790	C₂²	1	1	yes	characteristic
102	#14582790	C₂²	1	1	yes	characteristic
103	#14582790	C₂²	1	1	yes	characteristic
104	#14582790	C₂²	1	1	yes	characteristic
105	#14582790	C₂²	1	1	yes	characteristic
106	#14582790	C₂²	1	1	yes	characteristic
107	#14582789	C₂²	1	1	yes	characteristic
108	#14582789	C₂²	1	1	yes	characteristic
109	#14582788	C₂²	1	1	yes	characteristic
110	#14582788	C₂²	1	1	yes	characteristic
111	#14582788	C₂²	1	1	yes	characteristic
112	#14582788	C₂²	1	1	yes	characteristic
113	#14582783	C₂²	1	1	yes	characteristic, complemented
114	#14582783	C₂²	1	1	yes	characteristic, complemented
115	#14582783	C₂²	1	1	yes	characteristic, complemented
116	#14582783	C₂²	1	1	yes	characteristic, complemented
117	#14582783	C₂²	1	1	yes	characteristic, complemented
118	#14582783	C₂²	1	1	yes	characteristic, complemented
119	#14582783	C₂²	1	1	yes	characteristic, complemented
120	#14582783	C₂²	1	1	yes	characteristic, complemented
121	#14582783	C₂²	1	1	yes	characteristic, complemented
122	#14582783	C₂²	1	1	yes	characteristic, complemented
123	#14582783	C₂²	1	1	yes	characteristic, complemented
124	#14582783	C₂²	1	1	yes	characteristic, complemented
125	#14582783	C₂²	1	1	yes	characteristic, complemented
126	#14582783	C₂²	1	1	yes	characteristic, complemented
127	#14582783	C₂²	1	1	yes	characteristic, complemented
128	#14582783	C₂²	1	1	yes	characteristic, complemented
129	#14582783	C₂²	1	1	yes	characteristic, complemented
130	#14582783	C₂²	1	1	yes	characteristic, complemented
131	#14582783	C₂²	1	1	yes	characteristic, complemented
132	#14582781	C₂²	1	1	yes	characteristic, complemented
133	#14582781	C₂²	1	1	yes	characteristic, complemented
134	#14582781	C₂²	1	1	yes	characteristic, complemented
135	#14582781	C₂²	1	1	yes	characteristic, complemented
136	#14582779	C₂²	1	1	yes	characteristic
137	#14582779	C₂²	1	1	yes	characteristic
138	#14582778	C₂²	1	1	yes	characteristic
139	#14582778	C₂²	1	1	yes	characteristic
140	#14582778	C₂²	1	1	yes	characteristic
141	#14582778	C₂²	1	1	yes	characteristic
142	#14582778	C₂²	1	1	yes	characteristic
143	#14582772	C₂²	1	1	yes	characteristic
144	#14582772	C₂²	1	1	yes	characteristic
145	#14582772	C₂²	1	1	yes	characteristic, complemented
146	#14582772	C₂²	1	1	yes	characteristic, complemented
147	#14582772	C₂²	1	1	yes	characteristic, complemented
148	#14582772	C₂²	1	1	yes	characteristic, complemented
149	#14582772	C₂²	1	1	yes	characteristic, complemented
150	#14582771	C₂²	1	1	yes	characteristic
151	#14582771	C₂²	1	1	yes	characteristic
152	#14582767	C₂²	1	1	yes	characteristic, complemented
153	#14582762	C₂²	1	1	yes	characteristic, complemented
154	#14582760	C₂²	1	1	yes	characteristic
155	#14582760	C₂²	1	1	yes	characteristic
156	#14582760	C₂²	1	1	yes	characteristic
157	#14582759	C₂²	1	1	yes	characteristic
158	#14582757	C₂²	1	1	yes	characteristic
159	#14582757	C₂²	1	1	yes	characteristic
160	#14582757	C₂²	1	1	yes	characteristic
161	#14582757	C₂²	1	1	yes	characteristic
162	#14582754	C₂²	1	1	yes	characteristic
163	#14582754	C₂²	1	1	yes	characteristic
164	#14582754	C₂²	1	1	yes	characteristic
165	C₄×Dic₄₃⋊C₄	C₂²	1	1	yes	characteristic, complemented
166	C₄×Dic₄₃⋊C₄	C₂²	1	1	yes	characteristic, complemented
167	C₄×C₄⋊Dic₄₃	C₂²	1	1	yes	characteristic, complemented
168	C₄×C₂²⋊Dic₄₃	C₂²	1	1	yes	characteristic
169	C₄×C₂²⋊Dic₄₃	C₂²	1	1	yes	characteristic
170	C₂×C₄₃⋊#95	C₂²	1	1	yes	characteristic
171	C₂×C₄₃⋊#95	C₂²	1	1	yes	characteristic
172	C₂×C₄×D₄×C₄₃	C₂²	1	1	yes	characteristic
173	C₂×C₄×D₄×C₄₃	C₂²	1	1	yes	characteristic
174	C₂×C₄×D₄×C₄₃	C₂²	1	1	yes	characteristic
175	C₂²×C₄²×C₄₃	C₂²	1	1	yes	characteristic
176	C₂²×C₄²×C₄₃	C₂²	1	1	yes	characteristic, complemented
177	C₄×C₄⋊C₄×C₄₃	C₂²	1	1	yes	characteristic, complemented
178	C₄×C₄⋊C₄×C₄₃	C₂²	1	1	yes	characteristic, complemented
179	C₄×C₄⋊C₄×C₄₃	C₂²	1	1	yes	characteristic, complemented
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, complemented
184	C₄×C₂²⋊C₄×C₄₃	C₂²	1	1	yes	characteristic, complemented
185	C₄×C₂²⋊C₄×C₄₃	C₂²	1	1	yes	characteristic, complemented
186	C₄³×C₄₃	C₂²	1	1	yes	characteristic, complemented
187	C₂⁴×D₄₃	C₂³	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	C₂³×Dic₄₃	C₂³	1	1	yes	characteristic
192	C₂³×Dic₄₃	C₂³	1	1	yes	characteristic
193	C₂³×Dic₄₃	C₂³	1	1	yes	characteristic
194	#13063319	—	4	2	no	—
195	#13063308	—	4	2	no	—
196	#13063306	—	2	4	no	—
197	#13063304	—	2	4	no	—
198	#13063293	—	2	4	no	—
199	C₄×Dic₈₆	—	4	2	no	—
200	C₂×C₄⋊Dic₄₃	C₂³	1	1	yes	characteristic
201	C₂×C₄⋊Dic₄₃	C₂³	1	1	yes	characteristic
202	C₂×C₄⋊Dic₄₃	C₂³	1	1	yes	characteristic
203	C₂×Dic₄₃⋊C₄	—	2	4	no	—
204	C₂×Dic₄₃⋊C₄	C₂³	1	1	yes	characteristic
205	C₂×Dic₄₃⋊C₄	C₂³	1	1	yes	characteristic
206	C₂×Dic₄₃⋊C₄	C₂³	1	1	yes	characteristic
207	C₂×Dic₄₃⋊C₄	C₂³	1	1	yes	characteristic
208	C₂×Dic₄₃⋊C₄	C₂³	1	1	yes	characteristic
209	C₂×Dic₄₃⋊C₄	C₂³	1	1	yes	characteristic
210	C₂×Dic₄₃⋊C₄	C₂³	1	1	yes	characteristic
211	C₂×Dic₄₃⋊C₄	C₂³	1	1	yes	characteristic
212	C₂×Dic₄₃⋊C₄	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×C₂²⋊Dic₄₃	C₂³	1	1	yes	characteristic
229	C₂×C₂²⋊Dic₄₃	C₂³	1	1	yes	characteristic
230	C₂×C₂²⋊Dic₄₃	C₂³	1	1	yes	characteristic
231	C₂×C₂²⋊Dic₄₃	C₂³	1	1	yes	characteristic
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×(C₂×D₄₃)⋊C₄	—	2	4	no	—
239	C₂×(C₂×D₄₃)⋊C₄	—	2	4	no	—
240	C₂×(C₂×D₄₃)⋊C₄	—	4	2	no	—
241	C₂×(C₂×D₄₃)⋊C₄	C₂³	1	1	yes	characteristic
242	C₂×(C₂×D₄₃)⋊C₄	C₂³	1	1	yes	characteristic
243	C₂×(C₂×D₄₃)⋊C₄	C₂³	1	1	yes	characteristic
244	C₂×(C₂×D₄₃)⋊C₄	C₂³	1	1	yes	characteristic
245	C₂×(C₂×D₄₃)⋊C₄	C₂³	1	1	yes	characteristic
246	C₂×(C₂×D₄₃)⋊C₄	C₂³	1	1	yes	characteristic
247	C₂×(C₂×D₄₃)⋊C₄	C₂³	1	1	yes	characteristic
248	C₂×(C₂×D₄₃)⋊C₄	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×(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×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	C₄₃⋊#95	C₂³	1	1	yes	characteristic
272	C₄₃⋊#95	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	C₂²×D₄×C₄₃	C₂³	1	1	yes	characteristic
318	C₂³×C₄×C₄₃	C₂³	1	1	yes	characteristic
319	C₂³×C₄×C₄₃	C₂³	1	1	yes	characteristic
320	C₂³×C₄×C₄₃	C₂³	1	1	yes	characteristic
321	C₂³×C₄×C₄₃	C₂³	1	1	yes	characteristic
322	C₂³×C₄×C₄₃	C₂³	1	1	yes	characteristic
323	C₂³×C₄×C₄₃	C₂³	1	1	yes	characteristic
324	C₄×D₄×C₄₃	—	2	4	no	—
325	C₄×D₄×C₄₃	—	2	4	no	—
326	C₄×D₄×C₄₃	—	2	4	no	—
327	C₂×C₄⋊C₄×C₄₃	C₂³	1	1	yes	characteristic
328	C₂×C₄⋊C₄×C₄₃	C₂³	1	1	yes	characteristic
329	C₂×C₄⋊C₄×C₄₃	C₂³	1	1	yes	characteristic
330	C₂×C₂²⋊C₄×C₄₃	C₂³	1	1	yes	characteristic
331	C₂×C₂²⋊C₄×C₄₃	C₂³	1	1	yes	characteristic
332	C₂×C₂²⋊C₄×C₄₃	C₂³	1	1	yes	characteristic
333	C₂×C₂²⋊C₄×C₄₃	C₂³	1	1	yes	characteristic
334	C₂×C₂²⋊C₄×C₄₃	C₂³	1	1	yes	characteristic
335	C₂×C₂²⋊C₄×C₄₃	C₂³	1	1	yes	characteristic
336	C₂×C₄²×C₄₃	—	4	2	no	—
337	C₂×C₄²×C₄₃	—	4	2	no	—
338	C₂×C₄²×C₄₃	C₂³	1	1	yes	characteristic
339	C₂×C₄²×C₄₃	C₂³	1	1	yes	characteristic
340	C₂×C₄²×C₄₃	C₂³	1	1	yes	characteristic
341	C₂×C₄²×C₄₃	C₂³	1	1	yes	characteristic
342	C₂×C₄²×C₄₃	C₂³	1	1	yes	characteristic
343	C₂×C₄²×C₄₃	C₂³	1	1	yes	characteristic
344	C₂×C₄²×C₄₃	C₂³	1	1	yes	characteristic
345	C₂×C₄²×C₄₃	C₂³	1	1	yes	characteristic
346	C₂×C₄²×C₄₃	C₂³	1	1	yes	characteristic
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	#95×C₄₃	C₂³	1	1	yes	characteristic
352	#95×C₄₃	C₂³	1	1	yes	characteristic
353	#95×C₄₃	C₂³	1	1	yes	characteristic
354	#95×C₄₃	C₂³	1	1	yes	characteristic
355	#95×C₄₃	C₂³	1	1	yes	characteristic
356	#95×C₄₃	C₂³	1	1	yes	characteristic
357	C₂⁴×C₄₃	C₂⁴	1	1	yes	characteristic
358	C₂⁴×C₄₃	C₂⁴	1	1	yes	characteristic
359	C₂³×D₄₃	—	2	2	no	—
360	C₂³×D₄₃	—	2	2	no	—
361	C₂³×D₄₃	—	2	2	no	—
362	C₂³×D₄₃	—	4	1	no	—
363	C₂³×D₄₃	—	4	1	no	—
364	C₂³×D₄₃	—	4	1	no	—
365	C₂³×D₄₃	—	4	1	no	—
366	C₂³×D₄₃	C₂⁴	1	1	yes	characteristic
367	C₂³×D₄₃	C₂⁴	1	1	yes	characteristic
368	C₂×D₄×C₄₃	—	2	2	no	—
369	C₂×D₄×C₄₃	—	2	2	no	—
370	C₂×D₄×C₄₃	#41	1	4	yes	—
371	C₂²×C₄×C₄₃	—	2	2	no	—
372	C₂²×C₄×C₄₃	—	2	2	no	—
373	C₂²×C₄×C₄₃	—	2	2	no	—
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	—	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	—	4	1	no	—
386	C₂²×C₄×C₄₃	—	4	1	no	—
387	C₂²×C₄×C₄₃	#41	1	4	yes	—
388	C₂²×C₄×C₄₃	#41	1	4	yes	—
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	C₂²×C₄×C₄₃	C₂⁴	1	1	yes	characteristic
400	C₂²×C₄×C₄₃	C₂⁴	1	1	yes	characteristic
401	C₂²×C₄×C₄₃	C₂⁴	1	1	yes	characteristic
402	C₂×C₂²⋊D₄₃	—	2	2	no	—
403	C₂×C₂²⋊D₄₃	—	2	2	no	—
404	C₂×C₂²⋊D₄₃	—	4	1	no	—
405	C₂×C₂²⋊D₄₃	—	4	1	no	—
406	C₂×C₂²⋊D₄₃	—	4	1	no	—
407	C₂×C₂²⋊D₄₃	—	4	1	no	—
408	C₂²×Dic₄₃	—	2	2	no	—
409	C₂²×Dic₄₃	—	2	2	no	—
410	C₂²×Dic₄₃	—	2	2	no	—
411	C₂²×Dic₄₃	—	2	2	no	—
412	C₂²×Dic₄₃	—	2	2	no	—
413	C₂²×Dic₄₃	—	4	1	no	—
414	C₂²×Dic₄₃	—	4	1	no	—
415	C₂²×Dic₄₃	—	4	1	no	—
416	C₂²×Dic₄₃	—	4	1	no	—
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	C₂²×Dic₄₃	C₂⁴	1	1	yes	characteristic
430	C₂²×Dic₄₃	C₂⁴	1	1	yes	characteristic
431	C₂×Dic₈₆	—	2	2	no	—
432	C₂×Dic₈₆	—	4	1	no	—
433	C₂×Dic₈₆	—	4	1	no	—
434	C₄⋊C₄×C₄₃	—	2	2	no	—
435	C₄⋊C₄×C₄₃	—	2	2	no	—
436	C₄⋊C₄×C₄₃	—	2	2	no	—
437	C₂²⋊C₄×C₄₃	—	2	2	no	—
438	C₂²⋊C₄×C₄₃	—	2	2	no	—
439	C₂²⋊C₄×C₄₃	—	2	2	no	—
440	C₂²⋊C₄×C₄₃	—	2	2	no	—
441	C₂²⋊C₄×C₄₃	—	2	2	no	—
442	C₂²⋊C₄×C₄₃	—	2	2	no	—
443	C₄²×C₄₃	—	2	2	no	—
444	C₄²×C₄₃	—	2	2	no	—
445	C₄²×C₄₃	—	2	2	no	—
446	C₄²×C₄₃	—	2	2	no	—
447	C₄²×C₄₃	—	2	2	no	—
448	C₄²×C₄₃	—	2	2	no	—
449	C₄²×C₄₃	—	4	1	no	—
450	C₄²×C₄₃	—	4	1	no	—
451	C₄²×C₄₃	—	4	1	no	—
452	C₄²×C₄₃	—	4	1	no	—
453	C₄²×C₄₃	—	4	1	no	—
454	C₄²×C₄₃	—	4	1	no	—
455	C₄²×C₄₃	—	4	1	no	—
456	C₂²⋊Dic₄₃	—	2	2	no	—
457	C₂²⋊Dic₄₃	—	2	2	no	—
458	C₂²⋊Dic₄₃	—	2	2	no	—
459	C₂²⋊Dic₄₃	—	2	2	no	—
460	C₂²⋊Dic₄₃	—	2	2	no	—
461	C₂²⋊Dic₄₃	—	2	2	no	—
462	C₂²⋊Dic₄₃	—	4	1	no	—
463	C₂²⋊Dic₄₃	—	4	1	no	—
464	C₂²⋊Dic₄₃	—	4	1	no	—
465	C₂²⋊Dic₄₃	—	4	1	no	—
466	(C₂×D₄₃)⋊C₄	—	2	2	no	—
467	(C₂×D₄₃)⋊C₄	—	2	2	no	—
468	(C₂×D₄₃)⋊C₄	—	2	2	no	—
469	(C₂×D₄₃)⋊C₄	—	2	2	no	—
470	(C₂×D₄₃)⋊C₄	—	2	2	no	—
471	(C₂×D₄₃)⋊C₄	—	2	2	no	—
472	(C₂×D₄₃)⋊C₄	—	2	2	no	—
473	(C₂×D₄₃)⋊C₄	—	2	2	no	—
474	(C₂×D₄₃)⋊C₄	—	2	2	no	—
475	(C₂×D₄₃)⋊C₄	—	2	2	no	—
476	(C₂×D₄₃)⋊C₄	—	2	2	no	—
477	(C₂×D₄₃)⋊C₄	—	2	2	no	—
478	(C₂×D₄₃)⋊C₄	—	4	1	no	—
479	(C₂×D₄₃)⋊C₄	—	4	1	no	—
480	(C₂×D₄₃)⋊C₄	—	4	1	no	—
481	(C₂×D₄₃)⋊C₄	—	4	1	no	—
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	—	4	1	no	—
489	(C₂×D₄₃)⋊C₄	—	4	1	no	—
490	(C₂×D₄₃)⋊C₄	—	4	1	no	—
491	(C₂×D₄₃)⋊C₄	—	4	1	no	—
492	C₄⋊Dic₄₃	—	2	2	no	—
493	C₄⋊Dic₄₃	—	4	1	no	—
494	C₄⋊Dic₄₃	—	4	1	no	—
495	Dic₄₃⋊C₄	—	2	2	no	—
496	Dic₄₃⋊C₄	—	2	2	no	—
497	Dic₄₃⋊C₄	—	2	2	no	—
498	Dic₄₃⋊C₄	—	2	2	no	—
499	Dic₄₃⋊C₄	—	2	2	no	—
500	Dic₄₃⋊C₄	—	2	2	no	—
501	Dic₄₃⋊C₄	—	2	2	no	—
502	Dic₄₃⋊C₄	—	2	2	no	—
503	Dic₄₃⋊C₄	—	2	2	no	—
504	Dic₄₃⋊C₄	—	2	2	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	—	4	1	no	—
513	Dic₄₃⋊C₄	—	4	1	no	—
514	Dic₄₃⋊C₄	—	4	1	no	—
515	Dic₄₃⋊C₄	—	4	1	no	—
516	Dic₄₃⋊C₄	—	4	1	no	—
517	Dic₄₃⋊C₄	—	4	1	no	—
518	Dic₄₃⋊C₄	—	4	1	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	C₂³×C₄₃	—	2	1	no	—
524	C₂³×C₄₃	—	2	1	no	—
525	C₂³×C₄₃	—	2	1	no	—
526	C₂³×C₄₃	—	2	1	no	—
527	C₂³×C₄₃	—	2	1	no	—
528	C₂³×C₄₃	—	2	1	no	—
529	C₂³×C₄₃	—	2	1	no	—
530	C₂³×C₄₃	—	2	1	no	—
531	C₂³×C₄₃	—	2	1	no	—
532	C₂³×C₄₃	—	2	1	no	—
533	C₂³×C₄₃	C₂×#41	1	2	yes	—
534	C₂³×C₄₃	C₂×#41	1	2	yes	—
535	C₂³×C₄₃	C₂×#41	1	2	yes	—
536	C₂³×C₄₃	C₂×#41	1	2	yes	—
537	C₂³×C₄₃	C₂⁵	1	1	yes	characteristic
538	C₂²×D₄₃	—	2	1	no	—
539	C₂²×D₄₃	—	2	1	no	—
540	C₂²×D₄₃	—	2	1	no	—
541	C₂²×D₄₃	—	2	1	no	—
542	C₂²×D₄₃	—	2	1	no	—
543	C₂²×D₄₃	—	2	1	no	—
544	C₂²×D₄₃	—	2	1	no	—
545	C₂²×D₄₃	—	2	1	no	—
546	C₂²×D₄₃	—	2	1	no	—
547	C₂²×D₄₃	—	2	1	no	—
548	C₂²×D₄₃	—	2	1	no	—
549	C₂²×D₄₃	—	2	1	no	—
550	C₂²×D₄₃	—	2	1	no	—
551	C₂²×D₄₃	—	2	1	no	—
552	C₂²×D₄₃	—	4	4	no	—
553	C₂²×D₄₃	—	4	4	no	—
554	C₂²×D₄₃	—	4	4	no	—
555	C₂²×D₄₃	—	8	2	no	—
556	C₂²×D₄₃	—	8	2	no	—
557	C₂²×D₄₃	—	8	2	no	—
558	C₂²×D₄₃	—	8	2	no	—
559	D₄×C₄₃	—	2	8	no	—
560	C₂×C₄×C₄₃	—	2	1	no	—
561	C₂×C₄×C₄₃	—	2	1	no	—
562	C₂×C₄×C₄₃	—	2	1	no	—
563	C₂×C₄×C₄₃	—	2	1	no	—
564	C₂×C₄×C₄₃	—	2	1	no	—
565	C₂×C₄×C₄₃	—	2	1	no	—
566	C₂×C₄×C₄₃	—	2	1	no	—
567	C₂×C₄×C₄₃	—	2	1	no	—
568	C₂×C₄×C₄₃	—	2	1	no	—
569	C₂×C₄×C₄₃	—	2	1	no	—
570	C₂×C₄×C₄₃	—	2	1	no	—
571	C₂×C₄×C₄₃	—	2	1	no	—
572	C₂×C₄×C₄₃	—	2	1	no	—
573	C₂×C₄×C₄₃	—	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	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	—	4	4	no	—
594	C₂×C₄×C₄₃	—	4	4	no	—
595	C₂×C₄×C₄₃	—	4	4	no	—
596	C₂×C₄×C₄₃	—	4	4	no	—
597	C₂×C₄×C₄₃	—	4	4	no	—
598	C₂×C₄×C₄₃	—	4	4	no	—
599	C₂×C₄×C₄₃	C₂×#41	1	2	yes	—
600	C₂×C₄×C₄₃	C₂×#41	1	2	yes	—
601	C₂×C₄×C₄₃	C₂×#41	1	2	yes	—
602	C₂×C₄×C₄₃	C₂×#41	1	2	yes	—
603	C₂×C₄×C₄₃	C₂×#41	1	2	yes	—
604	C₂×C₄×C₄₃	H(5,𝔽₂)	1	2	yes	—
605	C₂²⋊D₄₃	—	8	2	no	—
606	C₂²⋊D₄₃	—	8	2	no	—
607	C₂×Dic₄₃	—	2	1	no	—
608	C₂×Dic₄₃	—	2	1	no	—
609	C₂×Dic₄₃	—	2	1	no	—
610	C₂×Dic₄₃	—	2	1	no	—
611	C₂×Dic₄₃	—	2	1	no	—
612	C₂×Dic₄₃	—	2	1	no	—
613	C₂×Dic₄₃	—	2	1	no	—
614	C₂×Dic₄₃	—	2	1	no	—
615	C₂×Dic₄₃	—	2	1	no	—
616	C₂×Dic₄₃	—	2	1	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	—	4	4	no	—
650	C₂×Dic₄₃	—	8	2	no	—
651	C₂×Dic₄₃	—	8	2	no	—
652	Dic₈₆	—	4	4	no	—
653	#35027	—	43	1	no	maximal, Sylow
654	C₂²×C₄₃	—	2	2	no	—
655	C₂²×C₄₃	—	2	2	no	—
656	C₂²×C₄₃	—	2	2	no	—
657	C₂²×C₄₃	—	2	2	no	—
658	C₂²×C₄₃	—	2	2	no	—
659	C₂²×C₄₃	—	2	2	no	—
660	C₂²×C₄₃	—	2	2	no	—
661	C₂²×C₄₃	—	2	2	no	—
662	C₂²×C₄₃	—	2	2	no	—
663	C₂²×C₄₃	—	4	1	no	—
664	C₂²×C₄₃	—	4	1	no	—
665	C₂²×C₄₃	—	4	1	no	—
666	C₂²×C₄₃	—	4	1	no	—
667	C₂²×C₄₃	#529	1	4	yes	—
668	C₂²×C₄₃	C₂²×#41	1	1	yes	characteristic
669	C₂²×C₄₃	C₂²×#41	1	1	yes	characteristic
670	C₂²×C₄₃	C₂²×#41	1	1	yes	characteristic
671	C₂²×C₄₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
672	C₂²×C₄₃	#585	1	1	yes	characteristic
673	C₂²×C₄₃	#585	1	1	yes	characteristic
674	C₂²×C₄₃	#585	1	1	yes	characteristic
675	C₂×D₄₃	—	4	1	no	—
676	C₂×D₄₃	—	4	1	no	—
677	C₂×D₄₃	—	4	1	no	—
678	C₂×D₄₃	—	4	1	no	—
679	C₂×D₄₃	—	4	1	no	—
680	C₂×D₄₃	—	4	1	no	—
681	C₂×D₄₃	—	4	1	no	—
682	C₂×D₄₃	—	4	1	no	—
683	C₂×D₄₃	—	4	1	no	—
684	C₂×D₄₃	—	4	1	no	—
685	C₂×D₄₃	—	4	1	no	—
686	C₂×D₄₃	—	4	1	no	—
687	C₂×D₄₃	—	4	1	no	—
688	C₂×D₄₃	—	4	1	no	—
689	C₂×D₄₃	—	8	8	no	—
690	C₄×C₄₃	—	2	2	no	—
691	C₄×C₄₃	—	2	2	no	—
692	C₄×C₄₃	—	2	2	no	—
693	C₄×C₄₃	—	2	2	no	—
694	C₄×C₄₃	—	2	2	no	—
695	C₄×C₄₃	—	2	2	no	—
696	C₄×C₄₃	—	4	1	no	—
697	C₄×C₄₃	—	4	1	no	—
698	C₄×C₄₃	—	4	1	no	—
699	C₄×C₄₃	—	4	1	no	—
700	C₄×C₄₃	—	4	1	no	—
701	C₄×C₄₃	—	4	1	no	—
702	C₄×C₄₃	—	4	1	no	—
703	Dic₄₃	—	4	1	no	—
704	Dic₄₃	—	4	1	no	—
705	Dic₄₃	—	4	1	no	—
706	Dic₄₃	—	4	1	no	—
707	Dic₄₃	—	4	1	no	—
708	Dic₄₃	—	4	1	no	—
709	Dic₄₃	—	4	1	no	—
710	Dic₄₃	—	4	1	no	—
711	Dic₄₃	—	4	1	no	—
712	Dic₄₃	—	4	1	no	—
713	Dic₄₃	—	4	1	no	—
714	Dic₄₃	—	4	1	no	—
715	Dic₄₃	—	4	1	no	—
716	Dic₄₃	—	4	1	no	—
717	#2866	—	43	1	no	—
718	#2865	—	43	1	no	—
719	#2853	—	43	1	no	—
720	#2852	—	43	1	no	—
721	#2654	—	43	1	no	—
722	#2653	—	43	1	no	—
723	#2650	—	43	1	no	—
724	#2649	—	43	1	no	—
725	#2597	—	43	1	no	—
726	#2596	—	43	1	no	—
727	#2595	—	43	1	no	—
728	#2594	—	43	1	no	—
729	#2569	—	43	1	no	—
730	#2564	—	43	1	no	—
731	#2561	—	43	1	no	—
732	#2534	—	43	1	no	—
733	#2525	—	43	1	no	—
734	#2516	—	43	1	no	—
735	#2493	—	43	1	no	—
736	#2480	—	43	1	no	—
737	#2469	—	43	1	no	—
738	#2458	—	43	1	no	—
739	#2419	—	43	1	no	—
740	#2418	—	43	1	no	—
741	#2322	—	43	1	no	—
742	#2321	—	43	1	no	—
743	#2313	—	43	1	no	—
744	#2312	—	43	1	no	—
745	C₄×C₂²⋊Q₈	—	43	1	no	—
746	C₂×#388	—	43	1	no	—
747	C₄²×D₄	D₄₃	1	1	yes	characteristic, complemented
748	C₂×C₄₃	—	2	4	no	—
749	C₂×C₄₃	—	4	2	no	—
750	C₂×C₄₃	C₂×#529	1	1	yes	characteristic
751	C₂×C₄₃	#3455	1	1	yes	characteristic
752	C₂×C₄₃	#3459	1	1	yes	characteristic
753	C₂×C₄₃	#3505	1	1	yes	characteristic
754	C₂×C₄₃	#3510	1	1	yes	characteristic
755	C₂×C₄₃	#3513	1	1	yes	characteristic
756	C₂×C₄₃	#3521	1	1	yes	characteristic
757	D₄₃	—	8	1	no	—
758	D₄₃	—	8	1	no	—
759	C₂×#126	—	43	1	no	—
760	C₂×#123	—	43	1	no	—
761	C₂×#123	—	43	1	no	—
762	C₂×C₂²⋊Q₈	—	43	1	no	—
763	C₂×#120	—	43	1	no	—
764	C₂×C₄×Q₈	—	43	1	no	—
765	C₂×C₄×D₄	C₂×D₄₃	1	1	yes	characteristic
766	C₂×C₄×D₄	C₂×D₄₃	1	1	yes	characteristic
767	C₂×C₄×D₄	C₂×D₄₃	1	1	yes	characteristic
768	C₂²×C₄⋊C₄	—	43	1	no	—
769	C₂²×C₂²⋊C₄	—	43	1	no	—
770	C₂²×C₂²⋊C₄	—	43	1	no	—
771	C₂²×C₂²⋊C₄	—	43	1	no	—
772	C₂²×C₄²	C₂×D₄₃	1	1	yes	characteristic
773	C₂²×C₄²	C₂×D₄₃	1	1	yes	characteristic, complemented
774	#401	—	43	1	no	—
775	#400	—	43	1	no	—
776	#400	—	43	1	no	—
777	#400	—	43	1	no	—
778	#400	—	43	1	no	—
779	#400	—	43	1	no	—
780	#400	—	43	1	no	—
781	#400	—	43	1	no	—
782	#399	—	43	1	no	—
783	#399	—	43	1	no	—
784	#398	—	43	1	no	—
785	#398	—	43	1	no	—
786	#398	—	43	1	no	—
787	#397	—	43	1	no	—
788	#397	—	43	1	no	—
789	#397	—	43	1	no	—
790	#397	—	43	1	no	—
791	#397	—	43	1	no	—
792	#397	—	43	1	no	—
793	#397	—	43	1	no	—
794	#397	—	43	1	no	—
795	#396	—	43	1	no	—
796	#396	—	43	1	no	—
797	#396	—	43	1	no	—
798	#395	—	43	1	no	—
799	#394	—	43	1	no	—
800	#394	—	43	1	no	—
801	#394	—	43	1	no	—
802	#394	—	43	1	no	—
803	#393	—	43	1	no	—
804	#393	—	43	1	no	—
805	#393	—	43	1	no	—
806	#391	—	43	1	no	—
807	#390	—	43	1	no	—
808	#390	—	43	1	no	—
809	#389	—	43	1	no	—
810	#389	—	43	1	no	—
811	#389	—	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	#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	#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	#387	—	43	1	no	—
867	#387	—	43	1	no	—
868	#386	—	43	1	no	—
869	#386	—	43	1	no	—
870	#386	—	43	1	no	—
871	#386	—	43	1	no	—
872	#386	—	43	1	no	—
873	#386	—	43	1	no	—
874	#386	—	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	—	43	1	no	—
881	#385	—	43	1	no	—
882	#385	—	43	1	no	—
883	#385	—	43	1	no	—
884	#383	—	43	1	no	—
885	#381	—	43	1	no	—
886	#381	—	43	1	no	—
887	#381	—	43	1	no	—
888	#381	—	43	1	no	—
889	#380	—	43	1	no	—
890	#380	—	43	1	no	—
891	#380	—	43	1	no	—
892	#380	—	43	1	no	—
893	#380	—	43	1	no	—
894	#379	—	43	1	no	—
895	#379	—	43	1	no	—
896	#379	—	43	1	no	—
897	C₄×C₄⋊C₄	—	43	1	no	—
898	C₄×C₄⋊C₄	—	43	1	no	—
899	C₄×C₄⋊C₄	—	43	1	no	—
900	C₄×C₄⋊C₄	C₂×D₄₃	1	1	yes	characteristic, complemented
901	C₄×C₄⋊C₄	C₂×D₄₃	1	1	yes	characteristic, complemented
902	C₄×C₄⋊C₄	C₂×D₄₃	1	1	yes	characteristic, complemented
903	C₄×C₂²⋊C₄	—	43	1	no	—
904	C₄×C₂²⋊C₄	—	43	1	no	—
905	C₄×C₂²⋊C₄	C₂×D₄₃	1	1	yes	characteristic
906	C₄×C₂²⋊C₄	C₂×D₄₃	1	1	yes	characteristic
907	C₄×C₂²⋊C₄	C₂×D₄₃	1	1	yes	characteristic
908	C₄×C₂²⋊C₄	C₂×D₄₃	1	1	yes	characteristic, complemented
909	C₄×C₂²⋊C₄	C₂×D₄₃	1	1	yes	characteristic, complemented
910	C₄×C₂²⋊C₄	C₂×D₄₃	1	1	yes	characteristic, complemented
911	C₂×#95	—	43	1	no	—
912	C₂×#95	—	43	1	no	—
913	C₄³	C₂×D₄₃	1	1	yes	characteristic, complemented
914	C₄₃	#35027	1	1	yes	characteristic, complemented, Sylow
915	C₂⁵	—	43	1	no	—
916	C₂²×Q₈	—	43	1	no	—
917	C₂²×D₄	—	43	1	no	—
918	C₂²×D₄	—	43	1	no	—
919	C₂²×D₄	C₂²×D₄₃	1	1	yes	characteristic
920	C₂³×C₄	—	43	1	no	—
921	C₂³×C₄	—	43	1	no	—
922	C₂³×C₄	—	43	1	no	—
923	C₂³×C₄	C₂²×D₄₃	1	1	yes	characteristic
924	C₂³×C₄	C₂²×D₄₃	1	1	yes	characteristic
925	C₂³×C₄	C₂²×D₄₃	1	1	yes	characteristic
926	C₂³×C₄	C₂²×D₄₃	1	1	yes	characteristic
927	C₂³×C₄	C₂²×D₄₃	1	1	yes	characteristic
928	C₂³×C₄	C₂²×D₄₃	1	1	yes	characteristic
929	#126	—	172	2	no	—
930	#123	—	86	4	no	—
931	#123	—	172	2	no	—
932	C₂²⋊Q₈	—	86	4	no	—
933	#120	—	86	4	no	—
934	C₄×Q₈	—	172	2	no	—
935	C₄×D₄	—	2	4	no	—
936	C₄×D₄	—	2	4	no	—
937	C₄×D₄	—	2	4	no	—
938	C₂×C₄⋊C₄	—	43	1	no	—
939	C₂×C₄⋊C₄	—	43	1	no	—
940	C₂×C₄⋊C₄	—	43	1	no	—
941	C₂×C₄⋊C₄	—	43	1	no	—
942	C₂×C₄⋊C₄	—	43	1	no	—
943	C₂×C₄⋊C₄	—	43	1	no	—
944	C₂×C₄⋊C₄	—	43	1	no	—
945	C₂×C₄⋊C₄	—	43	1	no	—
946	C₂×C₄⋊C₄	—	43	1	no	—
947	C₂×C₄⋊C₄	—	43	1	no	—
948	C₂×C₄⋊C₄	—	43	1	no	—
949	C₂×C₄⋊C₄	—	43	1	no	—
950	C₂×C₄⋊C₄	—	43	1	no	—
951	C₂×C₄⋊C₄	—	43	1	no	—
952	C₂×C₄⋊C₄	—	43	1	no	—
953	C₂×C₄⋊C₄	—	43	1	no	—
954	C₂×C₄⋊C₄	—	43	1	no	—
955	C₂×C₄⋊C₄	—	43	1	no	—
956	C₂×C₄⋊C₄	—	43	1	no	—
957	C₂×C₄⋊C₄	—	43	1	no	—
958	C₂×C₄⋊C₄	—	43	1	no	—
959	C₂×C₄⋊C₄	—	43	1	no	—
960	C₂×C₄⋊C₄	—	43	1	no	—
961	C₂×C₄⋊C₄	—	43	1	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	—	86	4	no	—
966	C₂×C₄⋊C₄	C₂²×D₄₃	1	1	yes	characteristic
967	C₂×C₄⋊C₄	C₂²×D₄₃	1	1	yes	characteristic
968	C₂×C₄⋊C₄	C₂²×D₄₃	1	1	yes	characteristic
969	C₂×C₂²⋊C₄	—	43	1	no	—
970	C₂×C₂²⋊C₄	—	43	1	no	—
971	C₂×C₂²⋊C₄	—	43	1	no	—
972	C₂×C₂²⋊C₄	—	43	1	no	—
973	C₂×C₂²⋊C₄	—	43	1	no	—
974	C₂×C₂²⋊C₄	—	43	1	no	—
975	C₂×C₂²⋊C₄	—	43	1	no	—
976	C₂×C₂²⋊C₄	—	43	1	no	—
977	C₂×C₂²⋊C₄	—	43	1	no	—
978	C₂×C₂²⋊C₄	—	43	1	no	—
979	C₂×C₂²⋊C₄	—	43	1	no	—
980	C₂×C₂²⋊C₄	—	43	1	no	—
981	C₂×C₂²⋊C₄	—	43	1	no	—
982	C₂×C₂²⋊C₄	—	43	1	no	—
983	C₂×C₂²⋊C₄	—	43	1	no	—
984	C₂×C₂²⋊C₄	—	43	1	no	—
985	C₂×C₂²⋊C₄	—	43	1	no	—
986	C₂×C₂²⋊C₄	—	43	1	no	—
987	C₂×C₂²⋊C₄	—	43	1	no	—
988	C₂×C₂²⋊C₄	—	43	1	no	—
989	C₂×C₂²⋊C₄	—	43	1	no	—
990	C₂×C₂²⋊C₄	—	43	1	no	—
991	C₂×C₂²⋊C₄	—	43	1	no	—
992	C₂×C₂²⋊C₄	—	43	1	no	—
993	C₂×C₂²⋊C₄	—	43	1	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	—	86	4	no	—
1006	C₂×C₂²⋊C₄	—	86	4	no	—
1007	C₂×C₂²⋊C₄	—	172	2	no	—
1008	C₂×C₂²⋊C₄	C₂²×D₄₃	1	1	yes	characteristic
1009	C₂×C₂²⋊C₄	C₂²×D₄₃	1	1	yes	characteristic
1010	C₂×C₂²⋊C₄	C₂²×D₄₃	1	1	yes	characteristic
1011	C₂×C₂²⋊C₄	C₂²×D₄₃	1	1	yes	characteristic
1012	C₂×C₂²⋊C₄	C₂²×D₄₃	1	1	yes	characteristic
1013	C₂×C₂²⋊C₄	C₂²×D₄₃	1	1	yes	characteristic
1014	C₂×C₄²	—	4	2	no	—
1015	C₂×C₄²	—	4	2	no	—
1016	C₂×C₄²	—	43	1	no	—
1017	C₂×C₄²	—	43	1	no	—
1018	C₂×C₄²	—	43	1	no	—
1019	C₂×C₄²	—	43	1	no	—
1020	C₂×C₄²	C₂²×D₄₃	1	1	yes	characteristic
1021	C₂×C₄²	C₂²×D₄₃	1	1	yes	characteristic
1022	C₂×C₄²	C₂²×D₄₃	1	1	yes	characteristic
1023	C₂×C₄²	C₂²×D₄₃	1	1	yes	characteristic
1024	C₂×C₄²	C₂²×D₄₃	1	1	yes	characteristic
1025	C₂×C₄²	C₂²×D₄₃	1	1	yes	characteristic
1026	C₂×C₄²	C₂²×D₄₃	1	1	yes	characteristic
1027	C₂×C₄²	C₂²×D₄₃	1	1	yes	characteristic
1028	C₂×C₄²	C₂²×D₄₃	1	1	yes	characteristic
1029	C₂×C₄²	C₂²×D₄₃	1	1	yes	characteristic
1030	C₂×C₄²	C₂²×D₄₃	1	1	yes	characteristic
1031	C₂×C₄²	C₂²×D₄₃	1	1	yes	characteristic
1032	C₂×C₄²	C₂²×D₄₃	1	1	yes	characteristic
1033	#95	—	43	1	no	—
1034	#95	—	43	1	no	—
1035	#95	—	43	1	no	—
1036	#95	—	43	1	no	—
1037	#95	—	43	1	no	—
1038	#95	—	43	1	no	—
1039	#95	—	43	1	no	—
1040	#95	—	43	1	no	—
1041	#95	—	43	1	no	—
1042	#95	—	43	1	no	—
1043	#95	—	43	1	no	—
1044	#95	—	43	1	no	—
1045	#95	—	43	1	no	—
1046	#95	—	43	1	no	—
1047	#95	—	43	1	no	—
1048	#95	—	43	1	no	—
1049	#95	—	43	1	no	—
1050	#95	—	43	1	no	—
1051	#95	—	43	1	no	—
1052	#95	—	43	1	no	—
1053	#95	—	43	1	no	—
1054	#95	—	43	1	no	—
1055	#95	—	43	1	no	—
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	C₂²×D₄₃	1	1	yes	characteristic
1080	#95	C₂²×D₄₃	1	1	yes	characteristic
1081	#95	C₂²×D₄₃	1	1	yes	characteristic
1082	#95	C₂²×D₄₃	1	1	yes	characteristic
1083	#95	C₂²×D₄₃	1	1	yes	characteristic
1084	#95	C₂²×D₄₃	1	1	yes	characteristic
1085	C₂⁴	—	43	1	no	—
1086	C₂⁴	—	43	1	no	—
1087	C₂⁴	—	86	2	no	—
1088	C₂⁴	—	86	2	no	—
1089	C₂⁴	—	86	2	no	—
1090	C₂⁴	—	172	1	no	—
1091	C₂⁴	—	172	1	no	—
1092	C₂⁴	—	172	1	no	—
1093	C₂⁴	—	172	1	no	—
1094	C₂⁴	C₂³×D₄₃	1	1	yes	characteristic
1095	C₂⁴	C₂³×D₄₃	1	1	yes	characteristic
1096	C₂×Q₈	—	86	2	no	—
1097	C₂×Q₈	—	172	1	no	—
1098	C₂×Q₈	—	172	1	no	—
1099	C₂×D₄	—	2	2	no	—
1100	C₂×D₄	—	2	2	no	—
1101	C₂×D₄	—	86	2	no	—
1102	C₂×D₄	—	86	2	no	—
1103	C₂×D₄	—	172	1	no	—
1104	C₂×D₄	—	172	1	no	—
1105	C₂×D₄	—	172	1	no	—
1106	C₂×D₄	—	172	1	no	—
1107	C₂×D₄	#10621898	1	4	yes	—
1108	C₂²×C₄	—	2	2	no	—
1109	C₂²×C₄	—	2	2	no	—
1110	C₂²×C₄	—	2	2	no	—
1111	C₂²×C₄	—	2	2	no	—
1112	C₂²×C₄	—	2	2	no	—
1113	C₂²×C₄	—	2	2	no	—
1114	C₂²×C₄	—	4	1	no	—
1115	C₂²×C₄	—	4	1	no	—
1116	C₂²×C₄	—	4	1	no	—
1117	C₂²×C₄	—	4	1	no	—
1118	C₂²×C₄	—	4	1	no	—
1119	C₂²×C₄	—	4	1	no	—
1120	C₂²×C₄	—	4	1	no	—
1121	C₂²×C₄	—	4	1	no	—
1122	C₂²×C₄	—	4	1	no	—
1123	C₂²×C₄	—	4	1	no	—
1124	C₂²×C₄	—	43	1	no	—
1125	C₂²×C₄	—	43	1	no	—
1126	C₂²×C₄	—	43	1	no	—
1127	C₂²×C₄	—	43	1	no	—
1128	C₂²×C₄	—	43	1	no	—
1129	C₂²×C₄	—	43	1	no	—
1130	C₂²×C₄	—	43	1	no	—
1131	C₂²×C₄	—	43	1	no	—
1132	C₂²×C₄	—	43	1	no	—
1133	C₂²×C₄	—	43	1	no	—
1134	C₂²×C₄	—	43	1	no	—
1135	C₂²×C₄	—	43	1	no	—
1136	C₂²×C₄	—	43	1	no	—
1137	C₂²×C₄	—	43	1	no	—
1138	C₂²×C₄	—	86	2	no	—
1139	C₂²×C₄	—	86	2	no	—
1140	C₂²×C₄	—	86	2	no	—
1141	C₂²×C₄	—	86	2	no	—
1142	C₂²×C₄	—	86	2	no	—
1143	C₂²×C₄	—	172	1	no	—
1144	C₂²×C₄	—	172	1	no	—
1145	C₂²×C₄	—	172	1	no	—
1146	C₂²×C₄	—	172	1	no	—
1147	C₂²×C₄	#10621898	1	4	yes	—
1148	C₂²×C₄	#10621898	1	4	yes	—
1149	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
1150	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
1151	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
1152	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
1153	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
1154	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
1155	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
1156	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
1157	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
1158	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
1159	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
1160	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
1161	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
1162	C₄⋊C₄	—	2	2	no	—
1163	C₄⋊C₄	—	2	2	no	—
1164	C₄⋊C₄	—	2	2	no	—
1165	C₄⋊C₄	—	86	2	no	—
1166	C₄⋊C₄	—	86	2	no	—
1167	C₄⋊C₄	—	86	2	no	—
1168	C₄⋊C₄	—	86	2	no	—
1169	C₄⋊C₄	—	86	2	no	—
1170	C₄⋊C₄	—	86	2	no	—
1171	C₄⋊C₄	—	86	2	no	—
1172	C₄⋊C₄	—	86	2	no	—
1173	C₄⋊C₄	—	86	2	no	—
1174	C₄⋊C₄	—	86	2	no	—
1175	C₄⋊C₄	—	86	2	no	—
1176	C₄⋊C₄	—	172	1	no	—
1177	C₄⋊C₄	—	172	1	no	—
1178	C₄⋊C₄	—	172	1	no	—
1179	C₄⋊C₄	—	172	1	no	—
1180	C₄⋊C₄	—	172	1	no	—
1181	C₄⋊C₄	—	172	1	no	—
1182	C₄⋊C₄	—	172	1	no	—
1183	C₄⋊C₄	—	172	1	no	—
1184	C₄⋊C₄	—	172	1	no	—
1185	C₄⋊C₄	—	172	1	no	—
1186	C₄⋊C₄	—	172	1	no	—
1187	C₄⋊C₄	—	172	1	no	—
1188	C₄⋊C₄	—	172	1	no	—
1189	C₄⋊C₄	—	172	1	no	—
1190	C₄⋊C₄	—	172	1	no	—
1191	C₄⋊C₄	—	172	1	no	—
1192	C₂²⋊C₄	—	2	2	no	—
1193	C₂²⋊C₄	—	2	2	no	—
1194	C₂²⋊C₄	—	2	2	no	—
1195	C₂²⋊C₄	—	2	2	no	—
1196	C₂²⋊C₄	—	2	2	no	—
1197	C₂²⋊C₄	—	2	2	no	—
1198	C₂²⋊C₄	—	86	2	no	—
1199	C₂²⋊C₄	—	86	2	no	—
1200	C₂²⋊C₄	—	86	2	no	—
1201	C₂²⋊C₄	—	86	2	no	—
1202	C₂²⋊C₄	—	86	2	no	—
1203	C₂²⋊C₄	—	86	2	no	—
1204	C₂²⋊C₄	—	86	2	no	—
1205	C₂²⋊C₄	—	86	2	no	—
1206	C₂²⋊C₄	—	86	2	no	—
1207	C₂²⋊C₄	—	86	2	no	—
1208	C₂²⋊C₄	—	86	2	no	—
1209	C₂²⋊C₄	—	86	2	no	—
1210	C₂²⋊C₄	—	86	2	no	—
1211	C₂²⋊C₄	—	86	2	no	—
1212	C₂²⋊C₄	—	86	2	no	—
1213	C₂²⋊C₄	—	86	2	no	—
1214	C₂²⋊C₄	—	86	2	no	—
1215	C₂²⋊C₄	—	86	2	no	—
1216	C₂²⋊C₄	—	172	1	no	—
1217	C₂²⋊C₄	—	172	1	no	—
1218	C₂²⋊C₄	—	172	1	no	—
1219	C₂²⋊C₄	—	172	1	no	—
1220	C₂²⋊C₄	—	172	1	no	—
1221	C₂²⋊C₄	—	172	1	no	—
1222	C₂²⋊C₄	—	172	1	no	—
1223	C₂²⋊C₄	—	172	1	no	—
1224	C₂²⋊C₄	—	172	1	no	—
1225	C₂²⋊C₄	—	172	1	no	—
1226	C₂²⋊C₄	—	172	1	no	—
1227	C₂²⋊C₄	—	172	1	no	—
1228	C₂²⋊C₄	—	172	1	no	—
1229	C₂²⋊C₄	—	172	1	no	—
1230	C₂²⋊C₄	—	172	1	no	—
1231	C₂²⋊C₄	—	172	1	no	—
1232	C₂²⋊C₄	—	172	1	no	—
1233	C₂²⋊C₄	—	172	1	no	—
1234	C₄²	—	2	2	no	—
1235	C₄²	—	2	2	no	—
1236	C₄²	—	2	2	no	—
1237	C₄²	—	2	2	no	—
1238	C₄²	—	2	2	no	—
1239	C₄²	—	2	2	no	—
1240	C₄²	—	4	1	no	—
1241	C₄²	—	4	1	no	—
1242	C₄²	—	4	1	no	—
1243	C₄²	—	4	1	no	—
1244	C₄²	—	4	1	no	—
1245	C₄²	—	4	1	no	—
1246	C₄²	—	4	1	no	—
1247	C₄²	—	172	1	no	—
1248	C₄²	—	172	1	no	—
1249	C₄²	—	172	1	no	—
1250	C₄²	—	172	1	no	—
1251	C₂³	—	2	1	no	—
1252	C₂³	—	2	1	no	—
1253	C₂³	—	2	1	no	—
1254	C₂³	—	2	1	no	—
1255	C₂³	—	2	1	no	—
1256	C₂³	—	2	1	no	—
1257	C₂³	—	2	1	no	—
1258	C₂³	—	2	1	no	—
1259	C₂³	—	2	1	no	—
1260	C₂³	—	2	1	no	—
1261	C₂³	—	86	1	no	—
1262	C₂³	—	86	1	no	—
1263	C₂³	—	86	1	no	—
1264	C₂³	—	86	1	no	—
1265	C₂³	—	86	1	no	—
1266	C₂³	—	86	1	no	—
1267	C₂³	—	86	1	no	—
1268	C₂³	—	86	1	no	—
1269	C₂³	—	86	1	no	—
1270	C₂³	—	86	1	no	—
1271	C₂³	—	86	1	no	—
1272	C₂³	—	86	1	no	—
1273	C₂³	—	86	1	no	—
1274	C₂³	—	86	1	no	—
1275	C₂³	—	344	2	no	—
1276	C₂³	—	344	2	no	—
1277	C₂³	—	344	2	no	—
1278	C₂³	—	344	2	no	—
1279	C₂³	—	172	4	no	—
1280	C₂³	—	172	4	no	—
1281	C₂³	—	172	4	no	—
1282	C₂³	C₂×#10621898	1	2	yes	—
1283	C₂³	C₂×#10621898	1	2	yes	—
1284	C₂³	C₂×#10621898	1	2	yes	—
1285	C₂³	C₂×#10621898	1	2	yes	—
1286	C₂³	C₂⁴×D₄₃	1	1	yes	characteristic
1287	Q₈	—	172	4	no	—
1288	D₄	—	2	8	no	—
1289	D₄	—	344	2	no	—
1290	D₄	—	344	2	no	—
1291	C₂×C₄	—	2	1	no	—
1292	C₂×C₄	—	2	1	no	—
1293	C₂×C₄	—	2	1	no	—
1294	C₂×C₄	—	2	1	no	—
1295	C₂×C₄	—	2	1	no	—
1296	C₂×C₄	—	2	1	no	—
1297	C₂×C₄	—	2	1	no	—
1298	C₂×C₄	—	2	1	no	—
1299	C₂×C₄	—	2	1	no	—
1300	C₂×C₄	—	2	1	no	—
1301	C₂×C₄	—	2	1	no	—
1302	C₂×C₄	—	2	1	no	—
1303	C₂×C₄	—	2	1	no	—
1304	C₂×C₄	—	2	1	no	—
1305	C₂×C₄	—	2	1	no	—
1306	C₂×C₄	—	2	1	no	—
1307	C₂×C₄	—	2	1	no	—
1308	C₂×C₄	—	2	1	no	—
1309	C₂×C₄	—	2	1	no	—
1310	C₂×C₄	—	2	1	no	—
1311	C₂×C₄	—	2	1	no	—
1312	C₂×C₄	—	2	1	no	—
1313	C₂×C₄	—	2	1	no	—
1314	C₂×C₄	—	2	1	no	—
1315	C₂×C₄	—	2	1	no	—
1316	C₂×C₄	—	2	1	no	—
1317	C₂×C₄	—	2	1	no	—
1318	C₂×C₄	—	2	1	no	—
1319	C₂×C₄	—	2	1	no	—
1320	C₂×C₄	—	2	1	no	—
1321	C₂×C₄	—	2	1	no	—
1322	C₂×C₄	—	2	1	no	—
1323	C₂×C₄	—	2	1	no	—
1324	C₂×C₄	—	4	4	no	—
1325	C₂×C₄	—	4	4	no	—
1326	C₂×C₄	—	4	4	no	—
1327	C₂×C₄	—	4	4	no	—
1328	C₂×C₄	—	4	4	no	—
1329	C₂×C₄	—	4	4	no	—
1330	C₂×C₄	—	86	1	no	—
1331	C₂×C₄	—	86	1	no	—
1332	C₂×C₄	—	86	1	no	—
1333	C₂×C₄	—	86	1	no	—
1334	C₂×C₄	—	86	1	no	—
1335	C₂×C₄	—	86	1	no	—
1336	C₂×C₄	—	86	1	no	—
1337	C₂×C₄	—	86	1	no	—
1338	C₂×C₄	—	86	1	no	—
1339	C₂×C₄	—	86	1	no	—
1340	C₂×C₄	—	86	1	no	—
1341	C₂×C₄	—	86	1	no	—
1342	C₂×C₄	—	86	1	no	—
1343	C₂×C₄	—	86	1	no	—
1344	C₂×C₄	—	86	1	no	—
1345	C₂×C₄	—	86	1	no	—
1346	C₂×C₄	—	86	1	no	—
1347	C₂×C₄	—	86	1	no	—
1348	C₂×C₄	—	86	1	no	—
1349	C₂×C₄	—	86	1	no	—
1350	C₂×C₄	—	86	1	no	—
1351	C₂×C₄	—	86	1	no	—
1352	C₂×C₄	—	86	1	no	—
1353	C₂×C₄	—	86	1	no	—
1354	C₂×C₄	—	86	1	no	—
1355	C₂×C₄	—	86	1	no	—
1356	C₂×C₄	—	86	1	no	—
1357	C₂×C₄	—	86	1	no	—
1358	C₂×C₄	—	86	1	no	—
1359	C₂×C₄	—	86	1	no	—
1360	C₂×C₄	—	86	1	no	—
1361	C₂×C₄	—	86	1	no	—
1362	C₂×C₄	—	86	1	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	—	344	2	no	—
1373	C₂×C₄	—	344	2	no	—
1374	C₂×C₄	—	172	4	no	—
1375	C₂×C₄	C₂×#10621898	1	2	yes	—
1376	C₂×C₄	C₂×#10621898	1	2	yes	—
1377	C₂×C₄	C₂×#10621898	1	2	yes	—
1378	C₂×C₄	C₂×#10621898	1	2	yes	—
1379	C₂×C₄	C₂×#10621898	1	2	yes	—
1380	C₂×C₄	#13063370	1	2	yes	—
1381	C₂²	—	2	2	no	—
1382	C₂²	—	2	2	no	—
1383	C₂²	—	2	2	no	—
1384	C₂²	—	2	2	no	—
1385	C₂²	—	2	2	no	—
1386	C₂²	—	2	2	no	—
1387	C₂²	—	2	2	no	—
1388	C₂²	—	2	2	no	—
1389	C₂²	—	2	2	no	—
1390	C₂²	—	4	1	no	—
1391	C₂²	—	4	1	no	—
1392	C₂²	—	4	1	no	—
1393	C₂²	—	4	1	no	—
1394	C₂²	—	344	8	no	—
1395	C₂²	—	172	1	no	—
1396	C₂²	—	172	1	no	—
1397	C₂²	—	172	1	no	—
1398	C₂²	—	172	1	no	—
1399	C₂²	—	172	1	no	—
1400	C₂²	—	172	1	no	—
1401	C₂²	—	172	1	no	—
1402	C₂²	—	172	1	no	—
1403	C₂²	—	172	1	no	—
1404	C₂²	—	172	1	no	—
1405	C₂²	—	172	1	no	—
1406	C₂²	—	172	1	no	—
1407	C₂²	—	172	1	no	—
1408	C₂²	—	172	1	no	—
1409	C₂²	#14583433	1	4	yes	—
1410	C₂²	C₂²×#10621898	1	1	yes	characteristic
1411	C₂²	C₂²×#10621898	1	1	yes	characteristic
1412	C₂²	C₂²×#10621898	1	1	yes	characteristic
1413	C₂²	C₂×#13063370	1	1	yes	characteristic
1414	C₂²	#14583735	1	1	yes	characteristic
1415	C₂²	#14583735	1	1	yes	characteristic
1416	C₂²	#14583735	1	1	yes	characteristic
1417	C₄	—	2	2	no	—
1418	C₄	—	2	2	no	—
1419	C₄	—	2	2	no	—
1420	C₄	—	2	2	no	—
1421	C₄	—	2	2	no	—
1422	C₄	—	2	2	no	—
1423	C₄	—	4	1	no	—
1424	C₄	—	4	1	no	—
1425	C₄	—	4	1	no	—
1426	C₄	—	4	1	no	—
1427	C₄	—	4	1	no	—
1428	C₄	—	4	1	no	—
1429	C₄	—	4	1	no	—
1430	C₄	—	172	1	no	—
1431	C₄	—	172	1	no	—
1432	C₄	—	172	1	no	—
1433	C₄	—	172	1	no	—
1434	C₄	—	172	1	no	—
1435	C₄	—	172	1	no	—
1436	C₄	—	172	1	no	—
1437	C₄	—	172	1	no	—
1438	C₄	—	172	1	no	—
1439	C₄	—	172	1	no	—
1440	C₄	—	172	1	no	—
1441	C₄	—	172	1	no	—
1442	C₄	—	172	1	no	—
1443	C₄	—	172	1	no	—
1444	C₂	—	2	4	no	—
1445	C₂	—	4	2	no	—
1446	C₂	—	344	1	no	—
1447	C₂	—	344	1	no	—
1448	C₂	C₂×#14583433	1	1	yes	characteristic
1449	C₂	#19147980	1	1	yes	characteristic
1450	C₂	#19148004	1	1	yes	characteristic
1451	C₂	#19148434	1	1	yes	characteristic
1452	C₂	#19148491	1	1	yes	characteristic
1453	C₂	#19148535	1	1	yes	characteristic
1454	C₂	#19148663	1	1	yes	characteristic

	subgroup	G/H
center, Frattini	C₂³	C₂⁴×D₄₃
commutator, socle, cosocle	C₂³×C₄₃	C₂⁵
Fitting	C₄²×D₄×C₄₃	C₂
prime radical	C₂×#13063293	C₂²
hypercenter	C₄²×D₄	D₄₃
hypocenter	C₄₃	#35027
LCS	G ▷ C₂³×C₄₃ ▷ C₄₃
UCS	C₁ ◁ C₂³ ◁ C₄²×D₄

Complements

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

N	H ≅ G/N	type
1. #19142987	C₂	semidirect
2. #19142984	C₂	semidirect
3. #19142917	C₂	semidirect
4. #19142910	C₂	semidirect
5. #19140667	C₂	semidirect
6. #19140652	C₂	semidirect
7. #19140607	C₂	semidirect
8. #19140592	C₂	semidirect
9. #19140140	C₂	semidirect
10. #19140125	C₂	semidirect
11. #19140110	C₂	semidirect
12. #19140095	C₂	semidirect
13. #19139814	C₂	semidirect
14. #19139771	C₂	semidirect
15. #19139748	C₂	semidirect
17. #19139352	C₂	semidirect
18. #19139229	C₂	semidirect
19. #19138974	C₂	semidirect
20. #19138841	C₂	semidirect
21. #19138676	C₂	semidirect
22. #19138517	C₂	semidirect
23. #19138066	C₂	semidirect
25. #19137260	C₂	semidirect
27. #19137195	C₂	semidirect
28. #19137190	C₂	semidirect
29. C₄×#13063304	C₂	semidirect
30. C₂×#14582790	C₂	semidirect
31. C₄²×D₄×C₄₃	C₂	semidirect
37. C₂×C₄×Dic₈₆	C₂²	semidirect
42. C₄₃⋊#401	C₂²	semidirect
43. #14582841	C₂²	semidirect
44. #14582841	C₂²	semidirect
45. #14582840	C₂²	semidirect
46. #14582840	C₂²	semidirect
47. #14582840	C₂²	semidirect
48. #14582838	C₂²	semidirect
49. #14582837	C₂²	semidirect
50. #14582835	C₂²	semidirect
52. #14582833	C₂²	semidirect
53. #14582833	C₂²	semidirect
54. #14582830	C₂²	semidirect
58. #14582827	C₂²	semidirect
59. #14582827	C₂²	semidirect
66. #14582819	C₂²	semidirect
73. #14582811	C₂²	semidirect
74. #14582805	C₂²	semidirect
77. #14582797	C₂²	semidirect
78. #14582794	C₂²	semidirect
79. #14582794	C₂²	semidirect
80. #14582793	C₂²	semidirect
81. #14582793	C₂²	semidirect
113. #14582783	C₂²	semidirect
114. #14582783	C₂²	semidirect
115. #14582783	C₂²	semidirect
116. #14582783	C₂²	semidirect
117. #14582783	C₂²	semidirect
118. #14582783	C₂²	semidirect
119. #14582783	C₂²	semidirect
120. #14582783	C₂²	semidirect
121. #14582783	C₂²	semidirect
122. #14582783	C₂²	semidirect
123. #14582783	C₂²	semidirect
124. #14582783	C₂²	semidirect
125. #14582783	C₂²	semidirect
126. #14582783	C₂²	semidirect
127. #14582783	C₂²	semidirect
128. #14582783	C₂²	semidirect
129. #14582783	C₂²	semidirect
130. #14582783	C₂²	semidirect
131. #14582783	C₂²	semidirect
132. #14582781	C₂²	semidirect
133. #14582781	C₂²	semidirect
134. #14582781	C₂²	semidirect
135. #14582781	C₂²	semidirect
145. #14582772	C₂²	semidirect
146. #14582772	C₂²	semidirect
147. #14582772	C₂²	semidirect
148. #14582772	C₂²	semidirect
149. #14582772	C₂²	semidirect
152. #14582767	C₂²	semidirect
153. #14582762	C₂²	semidirect
165. C₄×Dic₄₃⋊C₄	C₂²	semidirect
166. C₄×Dic₄₃⋊C₄	C₂²	semidirect
167. C₄×C₄⋊Dic₄₃	C₂²	semidirect
176. C₂²×C₄²×C₄₃	C₂²	semidirect
177. C₄×C₄⋊C₄×C₄₃	C₂²	semidirect
178. C₄×C₄⋊C₄×C₄₃	C₂²	semidirect
179. C₄×C₄⋊C₄×C₄₃	C₂²	semidirect
183. C₄×C₂²⋊C₄×C₄₃	C₂²	semidirect
184. C₄×C₂²⋊C₄×C₄₃	C₂²	semidirect
185. C₄×C₂²⋊C₄×C₄₃	C₂²	semidirect
186. C₄³×C₄₃	C₂²	semidirect
747. C₄²×D₄	D₄₃	semidirect
773. C₂²×C₄²	C₂×D₄₃	semidirect
900. C₄×C₄⋊C₄	C₂×D₄₃	semidirect
901. C₄×C₄⋊C₄	C₂×D₄₃	semidirect
902. C₄×C₄⋊C₄	C₂×D₄₃	semidirect
908. C₄×C₂²⋊C₄	C₂×D₄₃	semidirect
909. C₄×C₂²⋊C₄	C₂×D₄₃	semidirect
910. C₄×C₂²⋊C₄	C₂×D₄₃	semidirect
913. C₄³	C₂×D₄₃	semidirect
914. C₄₃	#35027	semidirect

Maximal subgroups

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

subgroup	index
#19142987	2
#19142984	2
#19142917	2
#19142910	2
#19140667	2
#19140652	2
#19140607	2
#19140592	2
#19140140	2
#19140125	2
#19140110	2
#19140095	2
#19139814	2
#19139771	2
#19139748	2
#19139481	2
#19139352	2
#19139229	2
#19138974	2
#19138841	2
#19138676	2
#19138517	2
#19138066	2
#19138051	2
#19137260	2
#19137249	2
#19137195	2
#19137190	2
C₄×#13063304	2
C₂×#14582790	2
C₄²×D₄×C₄₃	2
#35027	43