Subgroups — #25304990

Order 11008.

1906 conjugacy classes of subgroups.

The subgroup lattice has 1494 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#19142890	C₂	1	1	yes	maximal, characteristic
2	#19142881	C₂	1	1	yes	maximal, characteristic, complemented
3	#19142364	C₂	1	1	yes	maximal, characteristic, complemented
4	#19142235	C₂	1	1	yes	maximal, characteristic, complemented
5	#19142098	C₂	1	1	yes	maximal, characteristic, complemented
6	#19142023	C₂	1	1	yes	maximal, characteristic, complemented
7	#19142019	C₂	1	1	yes	maximal, characteristic, complemented
8	#19142005	C₂	1	1	yes	maximal, characteristic, complemented
9	#19141938	C₂	1	1	yes	maximal, characteristic, complemented
10	#19141784	C₂	1	1	yes	maximal, characteristic, complemented
11	#19141685	C₂	1	1	yes	maximal, characteristic, complemented
12	#19141584	C₂	1	1	yes	maximal, characteristic, complemented
13	#19141450	C₂	1	1	yes	maximal, characteristic, complemented
14	#19141437	C₂	1	1	yes	maximal, characteristic, complemented
15	#19141162	C₂	1	1	yes	maximal, characteristic, complemented
16	#19141093	C₂	1	1	yes	maximal, characteristic, complemented
17	#19141009	C₂	1	1	yes	maximal, characteristic, complemented
18	#19140869	C₂	1	1	yes	maximal, characteristic, complemented
19	#19140375	C₂	1	1	yes	maximal, characteristic, complemented
20	#19139752	C₂	1	1	yes	maximal, characteristic, complemented
21	#19139490	C₂	1	1	yes	maximal, characteristic
22	#19138976	C₂	1	1	yes	maximal, characteristic, complemented
23	#19138917	C₂	1	1	yes	maximal, characteristic, complemented
24	#19138846	C₂	1	1	yes	maximal, characteristic, complemented
25	#19138728	C₂	1	1	yes	maximal, characteristic
26	#19138294	C₂	1	1	yes	maximal, characteristic, complemented
27	#19138045	C₂	1	1	yes	maximal, characteristic, complemented
28	#19137326	C₂	1	1	yes	maximal, characteristic, complemented
29	#19137223	C₂	1	1	yes	maximal, characteristic, complemented
30	C₂×#14582770	C₂	1	1	yes	maximal, characteristic, complemented
31	C₄₃×#2627	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂³×C₄×D₄₃	C₂²	1	1	yes	characteristic
33	C₂×#13063323	C₂²	1	1	yes	characteristic, complemented
34	C₂×#13063320	C₂²	1	1	yes	characteristic
35	C₂×#13063314	C₂²	1	1	yes	characteristic
36	C₂×#13063310	C₂²	1	1	yes	characteristic
37	C₂×#13063310	C₂²	1	1	yes	characteristic
38	C₂×#13063308	C₂²	1	1	yes	characteristic
39	C₂×#13063303	C₂²	1	1	yes	characteristic
40	C₂×#13063303	C₂²	1	1	yes	characteristic
41	C₂×#13063303	C₂²	1	1	yes	characteristic, complemented
42	C₂×#13063302	C₂²	1	1	yes	characteristic
43	C₂×#13063302	C₂²	1	1	yes	characteristic
44	C₂×#13063295	C₂²	1	1	yes	characteristic
45	C₂×(C₂²⋊D₄₃)⋊C₄	C₂²	1	1	yes	characteristic
46	C₂²×Dic₄₃⋊C₄	C₂²	1	1	yes	characteristic
47	C₂²×(C₂×D₄₃)⋊C₄	C₂²	1	1	yes	characteristic
48	C₂²×(C₂×D₄₃)⋊C₄	C₂²	1	1	yes	characteristic
49	C₄₃⋊#401	C₂²	1	1	yes	characteristic, complemented
50	#14582841	C₂²	1	1	yes	characteristic, complemented
51	#14582841	C₂²	1	1	yes	characteristic, complemented
52	#14582840	C₂²	1	1	yes	characteristic, complemented
53	#14582840	C₂²	1	1	yes	characteristic, complemented
54	#14582839	C₂²	1	1	yes	characteristic, complemented
55	#14582837	C₂²	1	1	yes	characteristic, complemented
56	#14582837	C₂²	1	1	yes	characteristic, complemented
57	#14582834	C₂²	1	1	yes	characteristic, complemented
58	#14582834	C₂²	1	1	yes	characteristic, complemented
59	#14582833	C₂²	1	1	yes	characteristic, complemented
60	#14582830	C₂²	1	1	yes	characteristic, complemented
61	#14582830	C₂²	1	1	yes	characteristic, complemented
62	#14582830	C₂²	1	1	yes	characteristic, complemented
63	#14582830	C₂²	1	1	yes	characteristic, complemented
64	#14582829	C₂²	1	1	yes	characteristic, complemented
65	#14582828	C₂²	1	1	yes	characteristic
66	#14582828	C₂²	1	1	yes	characteristic
67	#14582828	C₂²	1	1	yes	characteristic
68	#14582828	C₂²	1	1	yes	characteristic, complemented
69	#14582826	C₂²	1	1	yes	characteristic
70	#14582825	C₂²	1	1	yes	characteristic
71	#14582825	C₂²	1	1	yes	characteristic
72	#14582825	C₂²	1	1	yes	characteristic, complemented
73	#14582825	C₂²	1	1	yes	characteristic, complemented
74	#14582823	C₂²	1	1	yes	characteristic
75	#14582823	C₂²	1	1	yes	characteristic
76	#14582823	C₂²	1	1	yes	characteristic, complemented
77	#14582821	C₂²	1	1	yes	characteristic
78	#14582821	C₂²	1	1	yes	characteristic, complemented
79	#14582819	C₂²	1	1	yes	characteristic, complemented
80	#14582818	C₂²	1	1	yes	characteristic, complemented
81	#14582817	C₂²	1	1	yes	characteristic
82	#14582817	C₂²	1	1	yes	characteristic
83	#14582816	C₂²	1	1	yes	characteristic
84	#14582816	C₂²	1	1	yes	characteristic
85	#14582812	C₂²	1	1	yes	characteristic
86	#14582812	C₂²	1	1	yes	characteristic
87	#14582812	C₂²	1	1	yes	characteristic, complemented
88	#14582810	C₂²	1	1	yes	characteristic
89	#14582804	C₂²	1	1	yes	characteristic, complemented
90	#14582803	C₂²	1	1	yes	characteristic, complemented
91	#14582803	C₂²	1	1	yes	characteristic, complemented
92	#14582803	C₂²	1	1	yes	characteristic, complemented
93	#14582800	C₂²	1	1	yes	characteristic
94	#14582795	C₂²	1	1	yes	characteristic, complemented
95	#14582794	C₂²	1	1	yes	characteristic, complemented
96	#14582794	C₂²	1	1	yes	characteristic, complemented
97	#14582794	C₂²	1	1	yes	characteristic, complemented
98	#14582794	C₂²	1	1	yes	characteristic, complemented
99	#14582791	C₂²	1	1	yes	characteristic
100	#14582791	C₂²	1	1	yes	characteristic
101	#14582791	C₂²	1	1	yes	characteristic
102	#14582791	C₂²	1	1	yes	characteristic, complemented
103	#14582791	C₂²	1	1	yes	characteristic, complemented
104	#14582789	C₂²	1	1	yes	characteristic
105	#14582789	C₂²	1	1	yes	characteristic
106	#14582789	C₂²	1	1	yes	characteristic
107	#14582789	C₂²	1	1	yes	characteristic, complemented
108	#14582788	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	#14582788	C₂²	1	1	yes	characteristic, complemented
114	#14582786	C₂²	1	1	yes	characteristic, complemented
115	#14582786	C₂²	1	1	yes	characteristic, complemented
116	#14582784	C₂²	1	1	yes	characteristic, complemented
117	#14582784	C₂²	1	1	yes	characteristic, complemented
118	#14582781	C₂²	1	1	yes	characteristic, complemented
119	#14582781	C₂²	1	1	yes	characteristic, complemented
120	#14582781	C₂²	1	1	yes	characteristic, complemented
121	#14582780	C₂²	1	1	yes	characteristic, complemented
122	#14582780	C₂²	1	1	yes	characteristic, complemented
123	#14582778	C₂²	1	1	yes	characteristic
124	#14582778	C₂²	1	1	yes	characteristic
125	#14582777	C₂²	1	1	yes	characteristic
126	#14582777	C₂²	1	1	yes	characteristic
127	#14582777	C₂²	1	1	yes	characteristic
128	#14582777	C₂²	1	1	yes	characteristic
129	#14582776	C₂²	1	1	yes	characteristic
130	#14582776	C₂²	1	1	yes	characteristic
131	#14582774	C₂²	1	1	yes	characteristic
132	#14582773	C₂²	1	1	yes	characteristic
133	#14582773	C₂²	1	1	yes	characteristic
134	#14582772	C₂²	1	1	yes	characteristic
135	#14582772	C₂²	1	1	yes	characteristic
136	#14582771	C₂²	1	1	yes	characteristic
137	#14582770	C₂²	1	1	yes	characteristic
138	#14582770	C₂²	1	1	yes	characteristic
139	#14582770	C₂²	1	1	yes	characteristic
140	#14582770	C₂²	1	1	yes	characteristic
141	#14582770	C₂²	1	1	yes	characteristic
142	#14582770	C₂²	1	1	yes	characteristic
143	#14582770	C₂²	1	1	yes	characteristic
144	#14582770	C₂²	1	1	yes	characteristic
145	#14582770	C₂²	1	1	yes	characteristic
146	#14582770	C₂²	1	1	yes	characteristic
147	#14582770	C₂²	1	1	yes	characteristic
148	#14582770	C₂²	1	1	yes	characteristic
149	#14582768	C₂²	1	1	yes	characteristic, complemented
150	#14582766	C₂²	1	1	yes	characteristic, complemented
151	#14582766	C₂²	1	1	yes	characteristic, complemented
152	#14582764	C₂²	1	1	yes	characteristic, complemented
153	#14582763	C₂²	1	1	yes	characteristic, complemented
154	#14582762	C₂²	1	1	yes	characteristic
155	#14582761	C₂²	1	1	yes	characteristic
156	#14582761	C₂²	1	1	yes	characteristic
157	#14582761	C₂²	1	1	yes	characteristic, complemented
158	#14582758	C₂²	1	1	yes	characteristic
159	#14582758	C₂²	1	1	yes	characteristic
160	#14582758	C₂²	1	1	yes	characteristic, complemented
161	#14582757	C₂²	1	1	yes	characteristic
162	#14582757	C₂²	1	1	yes	characteristic
163	#14582756	C₂²	1	1	yes	characteristic, complemented
164	#14582754	C₂²	1	1	yes	characteristic
165	#14582754	C₂²	1	1	yes	characteristic
166	#14582754	C₂²	1	1	yes	characteristic
167	C₂²⋊C₄×Dic₄₃	C₂²	1	1	yes	characteristic
168	C₂²⋊C₄×Dic₄₃	C₂²	1	1	yes	characteristic
169	C₂²⋊C₄×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×C₂²⋊Q₈×C₄₃	C₂²	1	1	yes	characteristic
173	C₂²×C₄⋊C₄×C₄₃	C₂²	1	1	yes	characteristic
174	C₄₃×#400	C₂²	1	1	yes	characteristic, complemented
175	C₄₃×#400	C₂²	1	1	yes	characteristic, complemented
176	C₄₃×#398	C₂²	1	1	yes	characteristic, complemented
177	C₄₃×#398	C₂²	1	1	yes	characteristic, complemented
178	C₄₃×#398	C₂²	1	1	yes	characteristic, complemented
179	C₄₃×#398	C₂²	1	1	yes	characteristic, complemented
180	C₄₃×#395	C₂²	1	1	yes	characteristic, complemented
181	C₄₃×#395	C₂²	1	1	yes	characteristic, complemented
182	C₄₃×#385	C₂²	1	1	yes	characteristic
183	C₄₃×#385	C₂²	1	1	yes	characteristic
184	C₄₃×#381	C₂²	1	1	yes	characteristic
185	C₄₃×#381	C₂²	1	1	yes	characteristic
186	C₄₃×#380	C₂²	1	1	yes	characteristic
187	C₂⁴×D₄₃	C₂³	1	1	yes	characteristic
188	C₂²×Dic₈₆	C₂³	1	1	yes	characteristic
189	C₂²×Dic₈₆	C₂³	1	1	yes	characteristic
190	C₂²×D₁₇₂	C₂³	1	1	yes	characteristic
191	C₂²×D₁₇₂	C₂³	1	1	yes	characteristic
192	C₂²×C₂²⋊D₄₃	C₂³	1	1	yes	characteristic
193	C₂³×Dic₄₃	C₂³	1	1	yes	characteristic
194	C₂³×Dic₄₃	C₂³	1	1	yes	characteristic
195	C₂³×Dic₄₃	C₂³	1	1	yes	characteristic
196	C₂²×C₄×D₄₃	—	4	2	no	—
197	C₂²×C₄×D₄₃	—	4	2	no	—
198	C₂²×C₄×D₄₃	—	4	2	no	—
199	C₂²×C₄×D₄₃	C₂³	1	1	yes	characteristic
200	C₂²×C₄×D₄₃	C₂³	1	1	yes	characteristic
201	C₂²×C₄×D₄₃	C₂³	1	1	yes	characteristic
202	C₂²×C₄×D₄₃	C₂³	1	1	yes	characteristic
203	C₂²×C₄×D₄₃	C₂³	1	1	yes	characteristic
204	#13063323	—	4	2	no	—
205	#13063320	—	4	2	no	—
206	#13063314	—	4	2	no	—
207	#13063310	—	4	2	no	—
208	#13063310	—	4	2	no	—
209	#13063308	—	4	2	no	—
210	#13063303	—	4	2	no	—
211	#13063303	—	4	2	no	—
212	#13063303	—	4	2	no	—
213	#13063302	—	2	4	no	—
214	#13063302	—	4	2	no	—
215	#13063295	—	4	2	no	—
216	(C₂²⋊D₄₃)⋊C₄	—	2	4	no	—
217	C₂×C₄⋊Dic₄₃	C₂³	1	1	yes	characteristic
218	C₂×C₄⋊Dic₄₃	C₂³	1	1	yes	characteristic
219	C₂×C₄⋊Dic₄₃	C₂³	1	1	yes	characteristic
220	C₂×C₄⋊Dic₄₃	C₂³	1	1	yes	characteristic
221	C₂×Dic₄₃⋊C₄	—	4	2	no	—
222	C₂×Dic₄₃⋊C₄	C₂³	1	1	yes	characteristic
223	C₂×Dic₄₃⋊C₄	C₂³	1	1	yes	characteristic
224	C₂×Dic₄₃⋊C₄	C₂³	1	1	yes	characteristic
225	C₂×Dic₄₃⋊C₄	C₂³	1	1	yes	characteristic
226	C₂×Dic₄₃⋊C₄	C₂³	1	1	yes	characteristic
227	C₂×Dic₄₃⋊C₄	C₂³	1	1	yes	characteristic
228	C₂×Dic₄₃⋊C₄	C₂³	1	1	yes	characteristic
229	C₂×Dic₄₃⋊C₄	C₂³	1	1	yes	characteristic
230	C₂×Dic₄₃⋊C₄	C₂³	1	1	yes	characteristic
231	C₂×Dic₄₃⋊C₄	C₂³	1	1	yes	characteristic
232	C₂×Dic₄₃⋊C₄	C₂³	1	1	yes	characteristic
233	C₂×Dic₄₃⋊C₄	C₂³	1	1	yes	characteristic
234	C₂×Dic₄₃⋊C₄	C₂³	1	1	yes	characteristic
235	C₂×Dic₄₃⋊C₄	C₂³	1	1	yes	characteristic
236	C₂×Dic₄₃⋊C₄	C₂³	1	1	yes	characteristic
237	C₂×Dic₄₃⋊C₄	C₂³	1	1	yes	characteristic
238	C₂×Dic₄₃⋊C₄	C₂³	1	1	yes	characteristic
239	C₂×Dic₄₃⋊C₄	C₂³	1	1	yes	characteristic
240	C₂×Dic₄₃⋊C₄	C₂³	1	1	yes	characteristic
241	C₂×Dic₄₃⋊C₄	C₂³	1	1	yes	characteristic
242	C₂×Dic₄₃⋊C₄	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×(C₂×D₄₃)⋊C₄	—	2	4	no	—
247	C₂×(C₂×D₄₃)⋊C₄	—	4	2	no	—
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×(C₂×D₄₃)⋊C₄	C₂³	1	1	yes	characteristic
268	C₂×(C₂×D₄₃)⋊C₄	C₂³	1	1	yes	characteristic
269	C₂×(C₂×D₄₃)⋊C₄	C₂³	1	1	yes	characteristic
270	C₂×(C₂×D₄₃)⋊C₄	C₂³	1	1	yes	characteristic
271	C₂×(C₂×D₄₃)⋊C₄	C₂³	1	1	yes	characteristic
272	C₂×(C₂×D₄₃)⋊C₄	C₂³	1	1	yes	characteristic
273	C₂×(C₂×D₄₃)⋊C₄	C₂³	1	1	yes	characteristic
274	C₂×(C₂×D₄₃)⋊C₄	C₂³	1	1	yes	characteristic
275	C₂×(C₂×D₄₃)⋊C₄	C₂³	1	1	yes	characteristic
276	C₂×(C₂×D₄₃)⋊C₄	C₂³	1	1	yes	characteristic
277	C₂×(C₂×D₄₃)⋊C₄	C₂³	1	1	yes	characteristic
278	C₂×(C₂×D₄₃)⋊C₄	C₂³	1	1	yes	characteristic
279	C₂×(C₂×D₄₃)⋊C₄	C₂³	1	1	yes	characteristic
280	C₂×(C₂×D₄₃)⋊C₄	C₂³	1	1	yes	characteristic
281	C₂×C₄×Dic₄₃	C₂³	1	1	yes	characteristic
282	C₂×C₄×Dic₄₃	C₂³	1	1	yes	characteristic
283	C₂×C₄×Dic₄₃	C₂³	1	1	yes	characteristic
284	C₂×C₄×Dic₄₃	C₂³	1	1	yes	characteristic
285	C₂×C₄×Dic₄₃	C₂³	1	1	yes	characteristic
286	C₂×C₄×Dic₄₃	C₂³	1	1	yes	characteristic
287	C₂×C₄×Dic₄₃	C₂³	1	1	yes	characteristic
288	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	C₄₃⋊#95	C₂³	1	1	yes	characteristic
322	C₄₃⋊#95	C₂³	1	1	yes	characteristic
323	C₄₃⋊#95	C₂³	1	1	yes	characteristic
324	C₄₃⋊#95	C₂³	1	1	yes	characteristic
325	C₄₃⋊#95	C₂³	1	1	yes	characteristic
326	C₂²×Q₈×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	C₂²⋊Q₈×C₄₃	—	4	2	no	—
331	C₂×C₄⋊C₄×C₄₃	—	4	2	no	—
332	C₂×C₄⋊C₄×C₄₃	C₂³	1	1	yes	characteristic
333	C₂×C₄⋊C₄×C₄₃	C₂³	1	1	yes	characteristic
334	C₂×C₄⋊C₄×C₄₃	C₂³	1	1	yes	characteristic
335	C₂×C₄⋊C₄×C₄₃	C₂³	1	1	yes	characteristic
336	C₂×C₄⋊C₄×C₄₃	C₂³	1	1	yes	characteristic
337	C₂×C₄⋊C₄×C₄₃	C₂³	1	1	yes	characteristic
338	C₂×C₄⋊C₄×C₄₃	C₂³	1	1	yes	characteristic
339	C₂×C₄⋊C₄×C₄₃	C₂³	1	1	yes	characteristic
340	C₂×C₄⋊C₄×C₄₃	C₂³	1	1	yes	characteristic
341	C₂×C₄⋊C₄×C₄₃	C₂³	1	1	yes	characteristic
342	C₂×C₄⋊C₄×C₄₃	C₂³	1	1	yes	characteristic
343	C₂×C₄⋊C₄×C₄₃	C₂³	1	1	yes	characteristic
344	C₂×C₄⋊C₄×C₄₃	C₂³	1	1	yes	characteristic
345	C₂×C₂²⋊C₄×C₄₃	C₂³	1	1	yes	characteristic
346	C₂×C₂²⋊C₄×C₄₃	C₂³	1	1	yes	characteristic
347	C₂×C₂²⋊C₄×C₄₃	C₂³	1	1	yes	characteristic
348	C₂×C₂²⋊C₄×C₄₃	C₂³	1	1	yes	characteristic
349	#95×C₄₃	C₂³	1	1	yes	characteristic
350	#95×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	#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	C₂⁴	1	1	yes	characteristic
364	C₂³×D₄₃	—	2	2	no	—
365	C₂³×D₄₃	—	2	2	no	—
366	C₂³×D₄₃	—	2	2	no	—
367	C₂³×D₄₃	—	2	2	no	—
368	C₂³×D₄₃	—	2	2	no	—
369	C₂³×D₄₃	—	4	1	no	—
370	C₂³×D₄₃	—	4	1	no	—
371	C₂³×D₄₃	C₂⁴	1	1	yes	characteristic
372	C₂³×D₄₃	C₂⁴	1	1	yes	characteristic
373	C₂³×D₄₃	C₂⁴	1	1	yes	characteristic
374	C₂×Q₈×C₄₃	—	4	1	no	—
375	C₂×Q₈×C₄₃	—	4	1	no	—
376	C₂×Q₈×C₄₃	—	4	1	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	—	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	C₂⁴	1	1	yes	characteristic
387	C₂²×C₄×C₄₃	C₂⁴	1	1	yes	characteristic
388	C₂²×C₄×C₄₃	C₂⁴	1	1	yes	characteristic
389	C₂²×C₄×C₄₃	C₂⁴	1	1	yes	characteristic
390	C₂²×C₄×C₄₃	C₂⁴	1	1	yes	characteristic
391	C₂²×C₄×C₄₃	C₂⁴	1	1	yes	characteristic
392	C₂²×C₄×C₄₃	C₂⁴	1	1	yes	characteristic
393	C₂²×C₄×C₄₃	C₂⁴	1	1	yes	characteristic
394	C₂²×C₄×C₄₃	C₂⁴	1	1	yes	characteristic
395	C₂²×C₄×C₄₃	C₂⁴	1	1	yes	characteristic
396	C₂²×C₄×C₄₃	C₂⁴	1	1	yes	characteristic
397	C₂²×C₄×C₄₃	C₂⁴	1	1	yes	characteristic
398	C₂²×C₄×C₄₃	C₂⁴	1	1	yes	characteristic
399	C₂²×C₄×C₄₃	C₂⁴	1	1	yes	characteristic
400	C₂×C₂²⋊D₄₃	—	2	2	no	—
401	C₂×C₂²⋊D₄₃	—	2	2	no	—
402	C₂×C₂²⋊D₄₃	—	2	2	no	—
403	C₂²×Dic₄₃	—	2	2	no	—
404	C₂²×Dic₄₃	—	2	2	no	—
405	C₂²×Dic₄₃	—	2	2	no	—
406	C₂²×Dic₄₃	—	4	1	no	—
407	C₂²×Dic₄₃	—	4	1	no	—
408	C₂²×Dic₄₃	—	4	1	no	—
409	C₂²×Dic₄₃	—	4	1	no	—
410	C₂²×Dic₄₃	—	4	1	no	—
411	C₂²×Dic₄₃	#41	1	4	yes	—
412	C₂²×Dic₄₃	C₂⁴	1	1	yes	characteristic
413	C₂²×Dic₄₃	C₂⁴	1	1	yes	characteristic
414	C₂²×Dic₄₃	C₂⁴	1	1	yes	characteristic
415	C₂²×Dic₄₃	C₂⁴	1	1	yes	characteristic
416	C₂²×Dic₄₃	C₂⁴	1	1	yes	characteristic
417	C₂²×Dic₄₃	C₂⁴	1	1	yes	characteristic
418	C₂²×Dic₄₃	C₂⁴	1	1	yes	characteristic
419	C₂²×Dic₄₃	C₂⁴	1	1	yes	characteristic
420	C₂²×Dic₄₃	C₂⁴	1	1	yes	characteristic
421	C₂²×Dic₄₃	C₂⁴	1	1	yes	characteristic
422	C₂²×Dic₄₃	C₂⁴	1	1	yes	characteristic
423	C₂²×Dic₄₃	C₂⁴	1	1	yes	characteristic
424	C₂²×Dic₄₃	C₂⁴	1	1	yes	characteristic
425	C₂×D₁₇₂	—	2	2	no	—
426	C₂×D₁₇₂	—	2	2	no	—
427	C₂×D₁₇₂	—	4	1	no	—
428	C₂×D₁₇₂	—	4	1	no	—
429	C₂×D₁₇₂	—	4	1	no	—
430	C₂×D₁₇₂	—	4	1	no	—
431	C₂×C₄×D₄₃	—	2	2	no	—
432	C₂×C₄×D₄₃	—	2	2	no	—
433	C₂×C₄×D₄₃	—	2	2	no	—
434	C₂×C₄×D₄₃	—	2	2	no	—
435	C₂×C₄×D₄₃	—	2	2	no	—
436	C₂×C₄×D₄₃	—	4	1	no	—
437	C₂×C₄×D₄₃	—	4	1	no	—
438	C₂×C₄×D₄₃	—	4	1	no	—
439	C₂×C₄×D₄₃	—	4	1	no	—
440	C₂×C₄×D₄₃	—	4	1	no	—
441	C₂×C₄×D₄₃	—	4	1	no	—
442	C₂×C₄×D₄₃	—	4	1	no	—
443	C₂×C₄×D₄₃	—	4	1	no	—
444	C₂×C₄×D₄₃	—	4	1	no	—
445	C₂×C₄×D₄₃	—	4	1	no	—
446	C₂×C₄×D₄₃	—	4	16	no	—
447	C₂×Dic₈₆	—	2	2	no	—
448	C₂×Dic₈₆	—	2	2	no	—
449	C₂×Dic₈₆	—	4	1	no	—
450	C₂×Dic₈₆	—	4	1	no	—
451	C₂×Dic₈₆	—	4	1	no	—
452	C₂×Dic₈₆	—	4	1	no	—
453	C₄⋊C₄×C₄₃	—	4	1	no	—
454	C₄⋊C₄×C₄₃	—	4	1	no	—
455	C₄⋊C₄×C₄₃	—	4	1	no	—
456	C₄⋊C₄×C₄₃	—	4	1	no	—
457	C₄⋊C₄×C₄₃	—	4	1	no	—
458	C₄⋊C₄×C₄₃	—	4	1	no	—
459	C₄⋊C₄×C₄₃	—	4	1	no	—
460	C₄⋊C₄×C₄₃	—	4	1	no	—
461	C₄⋊C₄×C₄₃	—	4	1	no	—
462	C₄⋊C₄×C₄₃	—	4	1	no	—
463	C₄⋊C₄×C₄₃	—	4	1	no	—
464	C₄⋊C₄×C₄₃	—	4	1	no	—
465	C₄⋊C₄×C₄₃	—	4	1	no	—
466	C₂²⋊C₄×C₄₃	—	2	2	no	—
467	C₂²⋊C₄×C₄₃	—	2	2	no	—
468	C₂²⋊C₄×C₄₃	—	2	2	no	—
469	C₂²⋊C₄×C₄₃	—	2	2	no	—
470	C₂²⋊Dic₄₃	—	2	2	no	—
471	C₂²⋊Dic₄₃	—	2	2	no	—
472	C₂²⋊Dic₄₃	—	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	—	2	2	no	—
479	(C₂×D₄₃)⋊C₄	—	2	2	no	—
480	(C₂×D₄₃)⋊C₄	—	2	2	no	—
481	(C₂×D₄₃)⋊C₄	—	2	2	no	—
482	(C₂×D₄₃)⋊C₄	—	2	2	no	—
483	(C₂×D₄₃)⋊C₄	—	2	2	no	—
484	(C₂×D₄₃)⋊C₄	—	2	2	no	—
485	(C₂×D₄₃)⋊C₄	—	2	2	no	—
486	(C₂×D₄₃)⋊C₄	—	2	2	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	(C₂×D₄₃)⋊C₄	—	4	1	no	—
493	(C₂×D₄₃)⋊C₄	—	4	1	no	—
494	(C₂×D₄₃)⋊C₄	—	4	1	no	—
495	(C₂×D₄₃)⋊C₄	—	4	1	no	—
496	(C₂×D₄₃)⋊C₄	—	4	1	no	—
497	(C₂×D₄₃)⋊C₄	—	4	1	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	(C₂×D₄₃)⋊C₄	—	4	1	no	—
504	(C₂×D₄₃)⋊C₄	—	4	1	no	—
505	(C₂×D₄₃)⋊C₄	—	4	1	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	—	4	1	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	Dic₄₃⋊C₄	—	4	1	no	—
528	Dic₄₃⋊C₄	—	4	1	no	—
529	Dic₄₃⋊C₄	—	4	1	no	—
530	Dic₄₃⋊C₄	—	4	1	no	—
531	C₄×Dic₄₃	—	2	2	no	—
532	C₄×Dic₄₃	—	4	1	no	—
533	C₄×Dic₄₃	—	4	1	no	—
534	C₄×Dic₄₃	—	4	1	no	—
535	C₄×Dic₄₃	—	4	1	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	C₂×#41	1	2	yes	—
543	C₂³×C₄₃	H(5,𝔽₂)	1	2	yes	—
544	C₂³×C₄₃	2₋¹⁺⁴	1	2	yes	—
545	C₂³×C₄₃	C₂⁵	1	1	yes	characteristic
546	C₂²×D₄₃	—	2	8	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	—	2	1	no	—
553	C₂²×D₄₃	—	2	1	no	—
554	C₂²×D₄₃	—	2	1	no	—
555	C₂²×D₄₃	—	2	1	no	—
556	C₂²×D₄₃	—	2	1	no	—
557	C₂²×D₄₃	—	2	1	no	—
558	C₂²×D₄₃	—	2	1	no	—
559	C₂²×D₄₃	—	2	1	no	—
560	C₂²×D₄₃	—	2	1	no	—
561	C₂²×D₄₃	—	2	1	no	—
562	C₂²×D₄₃	—	2	1	no	—
563	C₂²×D₄₃	—	2	1	no	—
564	C₂²×D₄₃	—	2	1	no	—
565	C₂²×D₄₃	—	2	1	no	—
566	C₂²×D₄₃	—	4	4	no	—
567	C₂²×D₄₃	—	4	4	no	—
568	C₂²×D₄₃	—	4	4	no	—
569	C₂²×D₄₃	—	4	4	no	—
570	C₂²×D₄₃	—	4	4	no	—
571	C₂²×D₄₃	—	4	4	no	—
572	C₂²×D₄₃	H(5,𝔽₂)	1	2	yes	—
573	C₂²×D₄₃	2₋¹⁺⁴	1	2	yes	—
574	Q₈×C₄₃	—	8	2	no	—
575	C₂×C₄×C₄₃	—	2	1	no	—
576	C₂×C₄×C₄₃	—	2	1	no	—
577	C₂×C₄×C₄₃	—	2	1	no	—
578	C₂×C₄×C₄₃	—	2	1	no	—
579	C₂×C₄×C₄₃	—	2	1	no	—
580	C₂×C₄×C₄₃	—	2	1	no	—
581	C₂×C₄×C₄₃	—	2	1	no	—
582	C₂×C₄×C₄₃	—	2	1	no	—
583	C₂×C₄×C₄₃	—	2	1	no	—
584	C₂×C₄×C₄₃	—	2	1	no	—
585	C₂×C₄×C₄₃	—	2	1	no	—
586	C₂×C₄×C₄₃	—	2	1	no	—
587	C₂×C₄×C₄₃	—	2	1	no	—
588	C₂×C₄×C₄₃	—	2	1	no	—
589	C₂×C₄×C₄₃	—	2	1	no	—
590	C₂×C₄×C₄₃	—	2	1	no	—
591	C₂×C₄×C₄₃	—	2	1	no	—
592	C₂×C₄×C₄₃	—	2	1	no	—
593	C₂×C₄×C₄₃	—	2	1	no	—
594	C₂×C₄×C₄₃	—	2	1	no	—
595	C₂×C₄×C₄₃	—	2	1	no	—
596	C₂×C₄×C₄₃	—	2	1	no	—
597	C₂×C₄×C₄₃	—	2	1	no	—
598	C₂×C₄×C₄₃	—	2	1	no	—
599	C₂×C₄×C₄₃	—	2	1	no	—
600	C₂×C₄×C₄₃	—	2	1	no	—
601	C₂×C₄×C₄₃	—	2	1	no	—
602	C₂×C₄×C₄₃	—	2	1	no	—
603	C₂×C₄×C₄₃	—	2	1	no	—
604	C₂×C₄×C₄₃	—	2	1	no	—
605	C₂×C₄×C₄₃	—	2	1	no	—
606	C₂×C₄×C₄₃	—	2	1	no	—
607	C₂×C₄×C₄₃	—	2	1	no	—
608	C₂×C₄×C₄₃	—	2	1	no	—
609	C₂×C₄×C₄₃	—	2	1	no	—
610	C₂×C₄×C₄₃	—	2	1	no	—
611	C₂×C₄×C₄₃	—	2	1	no	—
612	C₂×C₄×C₄₃	—	2	1	no	—
613	C₂×C₄×C₄₃	—	2	1	no	—
614	C₂×C₄×C₄₃	—	2	1	no	—
615	C₂×C₄×C₄₃	—	2	1	no	—
616	C₂×C₄×C₄₃	—	2	1	no	—
617	C₂×C₄×C₄₃	—	4	4	no	—
618	C₂×C₄×C₄₃	—	4	4	no	—
619	C₂×C₄×C₄₃	—	8	2	no	—
620	C₂²⋊D₄₃	—	4	4	no	—
621	C₂×Dic₄₃	—	2	1	no	—
622	C₂×Dic₄₃	—	2	1	no	—
623	C₂×Dic₄₃	—	2	1	no	—
624	C₂×Dic₄₃	—	2	1	no	—
625	C₂×Dic₄₃	—	2	1	no	—
626	C₂×Dic₄₃	—	2	1	no	—
627	C₂×Dic₄₃	—	2	1	no	—
628	C₂×Dic₄₃	—	2	1	no	—
629	C₂×Dic₄₃	—	2	1	no	—
630	C₂×Dic₄₃	—	2	1	no	—
631	C₂×Dic₄₃	—	2	1	no	—
632	C₂×Dic₄₃	—	2	1	no	—
633	C₂×Dic₄₃	—	2	1	no	—
634	C₂×Dic₄₃	—	2	1	no	—
635	C₂×Dic₄₃	—	2	1	no	—
636	C₂×Dic₄₃	—	2	1	no	—
637	C₂×Dic₄₃	—	2	1	no	—
638	C₂×Dic₄₃	—	2	1	no	—
639	C₂×Dic₄₃	—	2	1	no	—
640	C₂×Dic₄₃	—	2	1	no	—
641	C₂×Dic₄₃	—	2	1	no	—
642	C₂×Dic₄₃	—	2	1	no	—
643	C₂×Dic₄₃	—	2	1	no	—
644	C₂×Dic₄₃	—	2	1	no	—
645	C₂×Dic₄₃	—	2	1	no	—
646	C₂×Dic₄₃	—	2	1	no	—
647	C₂×Dic₄₃	—	2	1	no	—
648	C₂×Dic₄₃	—	2	1	no	—
649	C₂×Dic₄₃	—	2	1	no	—
650	C₂×Dic₄₃	—	2	1	no	—
651	C₂×Dic₄₃	—	2	1	no	—
652	C₂×Dic₄₃	—	2	1	no	—
653	C₂×Dic₄₃	—	2	1	no	—
654	C₂×Dic₄₃	—	2	1	no	—
655	C₂×Dic₄₃	—	2	1	no	—
656	C₂×Dic₄₃	—	2	1	no	—
657	C₂×Dic₄₃	—	4	4	no	—
658	C₂×Dic₄₃	—	4	4	no	—
659	C₂×Dic₄₃	—	8	2	no	—
660	C₂×Dic₄₃	C₂×#41	1	2	yes	—
661	C₂×Dic₄₃	C₂×#41	1	2	yes	—
662	C₂×Dic₄₃	H(5,𝔽₂)	1	2	yes	—
663	D₁₇₂	—	8	2	no	—
664	D₁₇₂	—	8	2	no	—
665	C₄×D₄₃	—	4	4	no	—
666	C₄×D₄₃	—	4	4	no	—
667	C₄×D₄₃	—	4	4	no	—
668	C₄×D₄₃	—	4	4	no	—
669	C₄×D₄₃	—	8	2	no	—
670	Dic₈₆	—	8	2	no	—
671	Dic₈₆	—	8	2	no	—
672	#36778	—	43	1	no	maximal, Sylow
673	C₂²×C₄₃	—	2	2	no	—
674	C₂²×C₄₃	—	2	2	no	—
675	C₂²×C₄₃	—	2	2	no	—
676	C₂²×C₄₃	—	2	2	no	—
677	C₂²×C₄₃	—	2	2	no	—
678	C₂²×C₄₃	—	2	2	no	—
679	C₂²×C₄₃	#542	1	4	yes	—
680	C₂²×C₄₃	C₂²×#41	1	1	yes	characteristic
681	C₂²×C₄₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
682	C₂²×C₄₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
683	C₂²×C₄₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
684	C₂²×C₄₃	C₂×2₋¹⁺⁴	1	1	yes	characteristic
685	C₂²×C₄₃	C₂×2₋¹⁺⁴	1	1	yes	characteristic
686	C₂²×C₄₃	#585	1	1	yes	characteristic
687	C₂×D₄₃	—	2	2	no	—
688	C₂×D₄₃	—	2	2	no	—
689	C₂×D₄₃	—	2	2	no	—
690	C₂×D₄₃	—	2	2	no	—
691	C₂×D₄₃	—	2	2	no	—
692	C₂×D₄₃	—	2	2	no	—
693	C₂×D₄₃	—	4	16	no	—
694	C₂×D₄₃	—	4	1	no	—
695	C₂×D₄₃	—	4	1	no	—
696	C₂×D₄₃	—	4	1	no	—
697	C₂×D₄₃	—	4	1	no	—
698	C₂×D₄₃	—	4	1	no	—
699	C₂×D₄₃	—	4	1	no	—
700	C₂×D₄₃	—	4	1	no	—
701	C₂×D₄₃	—	4	1	no	—
702	C₂×D₄₃	—	4	1	no	—
703	C₂×D₄₃	—	4	1	no	—
704	C₂×D₄₃	—	4	1	no	—
705	C₂×D₄₃	—	4	1	no	—
706	C₂×D₄₃	—	4	1	no	—
707	C₂×D₄₃	—	4	1	no	—
708	C₂×D₄₃	—	4	1	no	—
709	C₄×C₄₃	—	4	1	no	—
710	C₄×C₄₃	—	4	1	no	—
711	C₄×C₄₃	—	4	1	no	—
712	C₄×C₄₃	—	4	1	no	—
713	C₄×C₄₃	—	4	1	no	—
714	C₄×C₄₃	—	4	1	no	—
715	C₄×C₄₃	—	4	1	no	—
716	C₄×C₄₃	—	4	1	no	—
717	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	—	4	1	no	—
723	Dic₄₃	—	2	2	no	—
724	Dic₄₃	—	2	2	no	—
725	Dic₄₃	—	2	2	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	#2849	—	43	1	no	—
737	#2848	—	43	1	no	—
738	#2790	—	43	1	no	—
739	#2779	—	43	1	no	—
740	#2770	—	43	1	no	—
741	#2765	—	43	1	no	—
742	#2764	—	43	1	no	—
743	#2763	—	43	1	no	—
744	#2757	—	43	1	no	—
745	#2746	—	43	1	no	—
746	#2739	—	43	1	no	—
747	#2729	—	43	1	no	—
748	#2718	—	43	1	no	—
749	#2717	—	43	1	no	—
750	#2698	—	43	1	no	—
751	#2692	—	43	1	no	—
752	#2687	—	43	1	no	—
753	#2674	—	43	1	no	—
754	#2627	D₄₃	1	1	yes	characteristic, complemented
755	#2623	—	43	1	no	—
756	#2561	—	43	1	no	—
757	#2534	—	43	1	no	—
758	#2493	—	43	1	no	—
759	#2488	—	43	1	no	—
760	#2480	—	43	1	no	—
761	#2472	—	43	1	no	—
762	#2440	—	43	1	no	—
763	#2417	—	43	1	no	—
764	#2329	—	43	1	no	—
765	#2318	—	43	1	no	—
766	C₂×#385	—	43	1	no	—
767	C₂×C₄₃	—	2	4	no	—
768	C₂×C₄₃	C₂×#542	1	1	yes	characteristic
769	C₂×C₄₃	#3492	1	1	yes	characteristic
770	C₂×C₄₃	#3505	1	1	yes	characteristic
771	C₂×C₄₃	#3532	1	1	yes	characteristic
772	C₂×C₄₃	#3535	1	1	yes	characteristic
773	C₂×C₄₃	#3535	1	1	yes	characteristic
774	C₂×C₄₃	#3538	1	1	yes	characteristic
775	D₄₃	—	4	2	no	—
776	D₄₃	—	4	2	no	—
777	D₄₃	—	8	1	no	—
778	C₂⁴×C₄	—	43	1	no	—
779	C₂×C₄⋊Q₈	—	43	1	no	—
780	C₂×#126	—	43	1	no	—
781	C₂×#124	—	43	1	no	—
782	C₂×#123	—	43	1	no	—
783	C₂×#123	—	43	1	no	—
784	C₂×#123	—	43	1	no	—
785	C₂×C₂²⋊Q₈	—	43	1	no	—
786	C₂×C₂²⋊Q₈	—	43	1	no	—
787	C₂×C₂²⋊Q₈	—	43	1	no	—
788	C₂×C₂²⋊Q₈	—	43	1	no	—
789	C₂×C₂²⋊Q₈	—	43	1	no	—
790	C₂×C₂²⋊Q₈	C₂×D₄₃	1	1	yes	characteristic
791	C₂×#120	—	43	1	no	—
792	C₂×C₄×D₄	—	43	1	no	—
793	C₂²×C₄⋊C₄	—	43	1	no	—
794	C₂²×C₄⋊C₄	C₂×D₄₃	1	1	yes	characteristic
795	C₂²×C₂²⋊C₄	—	43	1	no	—
796	C₂²×C₂²⋊C₄	—	43	1	no	—
797	#401	—	43	1	no	—
798	#400	—	43	1	no	—
799	#400	—	43	1	no	—
800	#400	—	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	C₂×D₄₃	1	1	yes	characteristic, complemented
806	#400	C₂×D₄₃	1	1	yes	characteristic, complemented
807	#399	—	43	1	no	—
808	#399	—	43	1	no	—
809	#398	—	43	1	no	—
810	#398	—	43	1	no	—
811	#398	—	43	1	no	—
812	#398	—	43	1	no	—
813	#398	—	43	1	no	—
814	#398	—	43	1	no	—
815	#398	C₂×D₄₃	1	1	yes	characteristic, complemented
816	#398	C₂×D₄₃	1	1	yes	characteristic, complemented
817	#398	C₂×D₄₃	1	1	yes	characteristic, complemented
818	#398	C₂×D₄₃	1	1	yes	characteristic, complemented
819	#397	—	43	1	no	—
820	#397	—	43	1	no	—
821	#397	—	43	1	no	—
822	#397	—	43	1	no	—
823	#397	—	43	1	no	—
824	#397	—	43	1	no	—
825	#397	—	43	1	no	—
826	#397	—	43	1	no	—
827	#397	—	43	1	no	—
828	#396	—	43	1	no	—
829	#396	—	43	1	no	—
830	#396	—	43	1	no	—
831	#396	—	43	1	no	—
832	#396	—	43	1	no	—
833	#395	—	43	1	no	—
834	#395	—	43	1	no	—
835	#395	C₂×D₄₃	1	1	yes	characteristic, complemented
836	#395	C₂×D₄₃	1	1	yes	characteristic, complemented
837	#394	—	43	1	no	—
838	#394	—	43	1	no	—
839	#394	—	43	1	no	—
840	#394	—	43	1	no	—
841	#393	—	43	1	no	—
842	#393	—	43	1	no	—
843	#393	—	43	1	no	—
844	#393	—	43	1	no	—
845	#391	—	43	1	no	—
846	#391	—	43	1	no	—
847	#391	—	43	1	no	—
848	#391	—	43	1	no	—
849	#390	—	43	1	no	—
850	#389	—	43	1	no	—
851	#389	—	43	1	no	—
852	#389	—	43	1	no	—
853	#389	—	43	1	no	—
854	#389	—	43	1	no	—
855	#388	—	43	1	no	—
856	#388	—	43	1	no	—
857	#388	—	43	1	no	—
858	#388	—	43	1	no	—
859	#388	—	43	1	no	—
860	#388	—	43	1	no	—
861	#388	—	43	1	no	—
862	#388	—	43	1	no	—
863	#388	—	43	1	no	—
864	#388	—	43	1	no	—
865	#388	—	43	1	no	—
866	#388	—	43	1	no	—
867	#388	—	43	1	no	—
868	#388	—	43	1	no	—
869	#388	—	43	1	no	—
870	#387	—	43	1	no	—
871	#387	—	43	1	no	—
872	#387	—	43	1	no	—
873	#387	—	43	1	no	—
874	#387	—	43	1	no	—
875	#387	—	43	1	no	—
876	#387	—	43	1	no	—
877	#387	—	43	1	no	—
878	#387	—	43	1	no	—
879	#386	—	43	1	no	—
880	#386	—	43	1	no	—
881	#386	—	43	1	no	—
882	#386	—	43	1	no	—
883	#386	—	43	1	no	—
884	#386	—	43	1	no	—
885	#386	—	43	1	no	—
886	#386	—	43	1	no	—
887	#385	—	43	1	no	—
888	#385	—	43	1	no	—
889	#385	—	43	1	no	—
890	#385	—	43	1	no	—
891	#385	—	43	1	no	—
892	#385	—	43	1	no	—
893	#385	—	43	1	no	—
894	#385	—	43	1	no	—
895	#385	—	43	1	no	—
896	#385	—	43	1	no	—
897	#385	—	43	1	no	—
898	#385	—	43	1	no	—
899	#385	—	43	1	no	—
900	#385	—	43	1	no	—
901	#385	—	43	1	no	—
902	#385	—	43	1	no	—
903	#385	—	43	1	no	—
904	#385	—	43	1	no	—
905	#385	C₂×D₄₃	1	1	yes	characteristic
906	#385	C₂×D₄₃	1	1	yes	characteristic
907	#384	—	43	1	no	—
908	#383	—	43	1	no	—
909	#383	—	43	1	no	—
910	#382	—	43	1	no	—
911	#382	—	43	1	no	—
912	#381	—	43	1	no	—
913	#381	—	43	1	no	—
914	#381	—	43	1	no	—
915	#381	—	43	1	no	—
916	#381	C₂×D₄₃	1	1	yes	characteristic
917	#381	C₂×D₄₃	1	1	yes	characteristic
918	#380	—	43	1	no	—
919	#380	—	43	1	no	—
920	#380	—	43	1	no	—
921	#380	—	43	1	no	—
922	#380	—	43	1	no	—
923	#380	—	43	1	no	—
924	#380	C₂×D₄₃	1	1	yes	characteristic
925	#379	—	43	1	no	—
926	#379	—	43	1	no	—
927	#379	—	43	1	no	—
928	C₄×C₂²⋊C₄	—	43	1	no	—
929	C₄×C₂²⋊C₄	—	43	1	no	—
930	C₄×C₂²⋊C₄	—	43	1	no	—
931	C₂×#95	—	43	1	no	—
932	C₂×#95	—	43	1	no	—
933	C₄₃	#36778	1	1	yes	characteristic, complemented, Sylow
934	C₂⁵	—	43	1	no	—
935	C₂²×Q₈	—	43	1	no	—
936	C₂²×Q₈	—	43	1	no	—
937	C₂²×Q₈	C₂²×D₄₃	1	1	yes	characteristic
938	C₂²×D₄	—	43	1	no	—
939	C₂²×D₄	—	43	1	no	—
940	C₂²×D₄	—	43	1	no	—
941	C₂³×C₄	—	43	1	no	—
942	C₂³×C₄	—	43	1	no	—
943	C₂³×C₄	—	43	1	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	—	172	2	no	—
950	C₂³×C₄	—	172	2	no	—
951	C₂³×C₄	—	172	2	no	—
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	C₄⋊Q₈	—	172	2	no	—
956	#126	—	172	2	no	—
957	#124	—	172	2	no	—
958	#123	—	172	2	no	—
959	#123	—	172	2	no	—
960	#123	—	172	2	no	—
961	C₂²⋊Q₈	—	4	2	no	—
962	C₂²⋊Q₈	—	86	4	no	—
963	C₂²⋊Q₈	—	172	2	no	—
964	C₂²⋊Q₈	—	172	2	no	—
965	C₂²⋊Q₈	—	172	2	no	—
966	C₂²⋊Q₈	—	172	2	no	—
967	#120	—	172	2	no	—
968	C₄×D₄	—	86	4	no	—
969	C₂×C₄⋊C₄	—	4	2	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×C₄⋊C₄	—	43	1	no	—
994	C₂×C₄⋊C₄	—	43	1	no	—
995	C₂×C₄⋊C₄	—	172	2	no	—
996	C₂×C₄⋊C₄	C₂²×D₄₃	1	1	yes	characteristic
997	C₂×C₄⋊C₄	C₂²×D₄₃	1	1	yes	characteristic
998	C₂×C₄⋊C₄	C₂²×D₄₃	1	1	yes	characteristic
999	C₂×C₄⋊C₄	C₂²×D₄₃	1	1	yes	characteristic
1000	C₂×C₄⋊C₄	C₂²×D₄₃	1	1	yes	characteristic
1001	C₂×C₄⋊C₄	C₂²×D₄₃	1	1	yes	characteristic
1002	C₂×C₄⋊C₄	C₂²×D₄₃	1	1	yes	characteristic
1003	C₂×C₄⋊C₄	C₂²×D₄₃	1	1	yes	characteristic
1004	C₂×C₄⋊C₄	C₂²×D₄₃	1	1	yes	characteristic
1005	C₂×C₄⋊C₄	C₂²×D₄₃	1	1	yes	characteristic
1006	C₂×C₄⋊C₄	C₂²×D₄₃	1	1	yes	characteristic
1007	C₂×C₄⋊C₄	C₂²×D₄₃	1	1	yes	characteristic
1008	C₂×C₄⋊C₄	C₂²×D₄₃	1	1	yes	characteristic
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	—	43	1	no	—
1024	C₂×C₂²⋊C₄	—	43	1	no	—
1025	C₂×C₂²⋊C₄	—	43	1	no	—
1026	C₂×C₂²⋊C₄	—	43	1	no	—
1027	C₂×C₂²⋊C₄	—	43	1	no	—
1028	C₂×C₂²⋊C₄	—	43	1	no	—
1029	C₂×C₂²⋊C₄	—	43	1	no	—
1030	C₂×C₂²⋊C₄	—	43	1	no	—
1031	C₂×C₂²⋊C₄	—	43	1	no	—
1032	C₂×C₂²⋊C₄	—	43	1	no	—
1033	C₂×C₂²⋊C₄	—	43	1	no	—
1034	C₂×C₂²⋊C₄	—	43	1	no	—
1035	C₂×C₂²⋊C₄	—	43	1	no	—
1036	C₂×C₂²⋊C₄	—	43	1	no	—
1037	C₂×C₂²⋊C₄	—	43	1	no	—
1038	C₂×C₂²⋊C₄	—	43	1	no	—
1039	C₂×C₂²⋊C₄	—	43	1	no	—
1040	C₂×C₂²⋊C₄	—	43	1	no	—
1041	C₂×C₂²⋊C₄	—	43	1	no	—
1042	C₂×C₂²⋊C₄	—	43	1	no	—
1043	C₂×C₂²⋊C₄	—	43	1	no	—
1044	C₂×C₂²⋊C₄	—	43	1	no	—
1045	C₂×C₂²⋊C₄	—	86	4	no	—
1046	C₂×C₂²⋊C₄	—	172	2	no	—
1047	C₂×C₂²⋊C₄	C₂²×D₄₃	1	1	yes	characteristic
1048	C₂×C₂²⋊C₄	C₂²×D₄₃	1	1	yes	characteristic
1049	C₂×C₂²⋊C₄	C₂²×D₄₃	1	1	yes	characteristic
1050	C₂×C₂²⋊C₄	C₂²×D₄₃	1	1	yes	characteristic
1051	C₂×C₄²	—	43	1	no	—
1052	C₂×C₄²	—	43	1	no	—
1053	C₂×C₄²	—	43	1	no	—
1054	C₂×C₄²	—	43	1	no	—
1055	C₂×C₄²	—	43	1	no	—
1056	C₂×C₄²	—	43	1	no	—
1057	C₂×C₄²	—	43	1	no	—
1058	#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	C₂²×D₄₃	1	1	yes	characteristic
1097	#95	C₂²×D₄₃	1	1	yes	characteristic
1098	#95	C₂²×D₄₃	1	1	yes	characteristic
1099	#95	C₂²×D₄₃	1	1	yes	characteristic
1100	#95	C₂²×D₄₃	1	1	yes	characteristic
1101	#95	C₂²×D₄₃	1	1	yes	characteristic
1102	#95	C₂²×D₄₃	1	1	yes	characteristic
1103	#95	C₂²×D₄₃	1	1	yes	characteristic
1104	#95	C₂²×D₄₃	1	1	yes	characteristic
1105	#95	C₂²×D₄₃	1	1	yes	characteristic
1106	#95	C₂²×D₄₃	1	1	yes	characteristic
1107	#95	C₂²×D₄₃	1	1	yes	characteristic
1108	#95	C₂²×D₄₃	1	1	yes	characteristic
1109	#95	C₂²×D₄₃	1	1	yes	characteristic
1110	C₂⁴	—	43	1	no	—
1111	C₂⁴	—	43	1	no	—
1112	C₂⁴	—	43	1	no	—
1113	C₂⁴	—	86	2	no	—
1114	C₂⁴	—	86	2	no	—
1115	C₂⁴	—	86	2	no	—
1116	C₂⁴	—	86	2	no	—
1117	C₂⁴	—	86	2	no	—
1118	C₂⁴	—	172	1	no	—
1119	C₂⁴	—	172	1	no	—
1120	C₂⁴	C₂³×D₄₃	1	1	yes	characteristic
1121	C₂×Q₈	—	4	1	no	—
1122	C₂×Q₈	—	4	1	no	—
1123	C₂×Q₈	—	4	1	no	—
1124	C₂×Q₈	—	86	2	no	—
1125	C₂×Q₈	—	86	2	no	—
1126	C₂×Q₈	—	172	1	no	—
1127	C₂×Q₈	—	172	1	no	—
1128	C₂×Q₈	—	172	1	no	—
1129	C₂×Q₈	—	172	1	no	—
1130	C₂×D₄	—	86	2	no	—
1131	C₂×D₄	—	86	2	no	—
1132	C₂×D₄	—	86	2	no	—
1133	C₂×D₄	—	86	2	no	—
1134	C₂×D₄	—	86	2	no	—
1135	C₂×D₄	—	172	1	no	—
1136	C₂×D₄	—	172	1	no	—
1137	C₂×D₄	—	172	1	no	—
1138	C₂×D₄	—	172	1	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	—	4	1	no	—
1145	C₂²×C₄	—	4	1	no	—
1146	C₂²×C₄	—	4	1	no	—
1147	C₂²×C₄	—	4	1	no	—
1148	C₂²×C₄	—	43	1	no	—
1149	C₂²×C₄	—	43	1	no	—
1150	C₂²×C₄	—	43	1	no	—
1151	C₂²×C₄	—	43	4	no	—
1152	C₂²×C₄	—	43	1	no	—
1153	C₂²×C₄	—	43	1	no	—
1154	C₂²×C₄	—	43	1	no	—
1155	C₂²×C₄	—	43	1	no	—
1156	C₂²×C₄	—	43	1	no	—
1157	C₂²×C₄	—	43	1	no	—
1158	C₂²×C₄	—	43	1	no	—
1159	C₂²×C₄	—	43	1	no	—
1160	C₂²×C₄	—	43	1	no	—
1161	C₂²×C₄	—	43	1	no	—
1162	C₂²×C₄	—	86	2	no	—
1163	C₂²×C₄	—	86	2	no	—
1164	C₂²×C₄	—	86	2	no	—
1165	C₂²×C₄	—	86	2	no	—
1166	C₂²×C₄	—	86	2	no	—
1167	C₂²×C₄	—	86	2	no	—
1168	C₂²×C₄	—	86	2	no	—
1169	C₂²×C₄	—	86	2	no	—
1170	C₂²×C₄	—	172	1	no	—
1171	C₂²×C₄	—	172	1	no	—
1172	C₂²×C₄	—	172	1	no	—
1173	C₂²×C₄	—	172	1	no	—
1174	C₂²×C₄	—	172	1	no	—
1175	C₂²×C₄	—	172	1	no	—
1176	C₂²×C₄	—	172	1	no	—
1177	C₂²×C₄	—	172	1	no	—
1178	C₂²×C₄	—	172	1	no	—
1179	C₂²×C₄	—	172	1	no	—
1180	C₂²×C₄	—	172	16	no	—
1181	C₂²×C₄	—	172	1	no	—
1182	C₂²×C₄	—	172	1	no	—
1183	C₂²×C₄	—	172	1	no	—
1184	C₂²×C₄	—	172	1	no	—
1185	C₂²×C₄	—	172	1	no	—
1186	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
1187	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
1188	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
1189	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
1190	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
1191	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
1192	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
1193	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
1194	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
1195	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
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	C₄⋊C₄	—	4	1	no	—
1201	C₄⋊C₄	—	4	1	no	—
1202	C₄⋊C₄	—	4	1	no	—
1203	C₄⋊C₄	—	4	1	no	—
1204	C₄⋊C₄	—	4	1	no	—
1205	C₄⋊C₄	—	4	1	no	—
1206	C₄⋊C₄	—	4	1	no	—
1207	C₄⋊C₄	—	4	1	no	—
1208	C₄⋊C₄	—	4	1	no	—
1209	C₄⋊C₄	—	4	1	no	—
1210	C₄⋊C₄	—	4	1	no	—
1211	C₄⋊C₄	—	4	1	no	—
1212	C₄⋊C₄	—	4	1	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	—	86	2	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	C₄⋊C₄	—	172	1	no	—
1233	C₄⋊C₄	—	172	1	no	—
1234	C₄⋊C₄	—	172	1	no	—
1235	C₄⋊C₄	—	172	1	no	—
1236	C₄⋊C₄	—	172	1	no	—
1237	C₄⋊C₄	—	172	1	no	—
1238	C₂²⋊C₄	—	2	2	no	—
1239	C₂²⋊C₄	—	2	2	no	—
1240	C₂²⋊C₄	—	2	2	no	—
1241	C₂²⋊C₄	—	2	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	—	172	1	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	—	172	1	no	—
1268	C₂²⋊C₄	—	172	1	no	—
1269	C₂²⋊C₄	—	172	1	no	—
1270	C₂²⋊C₄	—	172	1	no	—
1271	C₂²⋊C₄	—	172	1	no	—
1272	C₂²⋊C₄	—	172	1	no	—
1273	C₂²⋊C₄	—	172	1	no	—
1274	C₂²⋊C₄	—	172	1	no	—
1275	C₂²⋊C₄	—	172	1	no	—
1276	C₂²⋊C₄	—	172	1	no	—
1277	C₂²⋊C₄	—	172	1	no	—
1278	C₄²	—	86	2	no	—
1279	C₄²	—	172	1	no	—
1280	C₄²	—	172	1	no	—
1281	C₄²	—	172	1	no	—
1282	C₄²	—	172	1	no	—
1283	C₄²	—	172	1	no	—
1284	C₄²	—	172	1	no	—
1285	C₂³	—	2	1	no	—
1286	C₂³	—	2	1	no	—
1287	C₂³	—	2	1	no	—
1288	C₂³	—	2	1	no	—
1289	C₂³	—	43	2	no	—
1290	C₂³	—	43	2	no	—
1291	C₂³	—	86	8	no	—
1292	C₂³	—	86	1	no	—
1293	C₂³	—	86	1	no	—
1294	C₂³	—	86	1	no	—
1295	C₂³	—	86	1	no	—
1296	C₂³	—	86	1	no	—
1297	C₂³	—	86	1	no	—
1298	C₂³	—	86	1	no	—
1299	C₂³	—	86	1	no	—
1300	C₂³	—	86	1	no	—
1301	C₂³	—	86	1	no	—
1302	C₂³	—	86	1	no	—
1303	C₂³	—	86	1	no	—
1304	C₂³	—	86	1	no	—
1305	C₂³	—	86	1	no	—
1306	C₂³	—	86	1	no	—
1307	C₂³	—	86	1	no	—
1308	C₂³	—	86	1	no	—
1309	C₂³	—	86	1	no	—
1310	C₂³	—	86	1	no	—
1311	C₂³	—	172	4	no	—
1312	C₂³	—	172	4	no	—
1313	C₂³	—	172	4	no	—
1314	C₂³	—	172	4	no	—
1315	C₂³	—	172	4	no	—
1316	C₂³	—	172	4	no	—
1317	C₂³	#41×D₄₃	1	2	yes	—
1318	C₂³	#13063370	1	2	yes	—
1319	C₂³	#13063373	1	2	yes	—
1320	C₂³	C₂⁴×D₄₃	1	1	yes	characteristic
1321	Q₈	—	8	2	no	—
1322	Q₈	—	344	2	no	—
1323	Q₈	—	344	2	no	—
1324	D₄	—	344	2	no	—
1325	D₄	—	344	2	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	1	no	—
1336	C₂×C₄	—	2	1	no	—
1337	C₂×C₄	—	2	1	no	—
1338	C₂×C₄	—	2	1	no	—
1339	C₂×C₄	—	2	1	no	—
1340	C₂×C₄	—	2	1	no	—
1341	C₂×C₄	—	2	1	no	—
1342	C₂×C₄	—	2	1	no	—
1343	C₂×C₄	—	2	1	no	—
1344	C₂×C₄	—	2	1	no	—
1345	C₂×C₄	—	2	1	no	—
1346	C₂×C₄	—	2	1	no	—
1347	C₂×C₄	—	2	1	no	—
1348	C₂×C₄	—	2	1	no	—
1349	C₂×C₄	—	2	1	no	—
1350	C₂×C₄	—	2	1	no	—
1351	C₂×C₄	—	2	1	no	—
1352	C₂×C₄	—	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	—	2	1	no	—
1359	C₂×C₄	—	2	1	no	—
1360	C₂×C₄	—	2	1	no	—
1361	C₂×C₄	—	2	1	no	—
1362	C₂×C₄	—	2	1	no	—
1363	C₂×C₄	—	2	1	no	—
1364	C₂×C₄	—	2	1	no	—
1365	C₂×C₄	—	2	1	no	—
1366	C₂×C₄	—	2	1	no	—
1367	C₂×C₄	—	2	1	no	—
1368	C₂×C₄	—	2	1	no	—
1369	C₂×C₄	—	4	4	no	—
1370	C₂×C₄	—	4	4	no	—
1371	C₂×C₄	—	8	2	no	—
1372	C₂×C₄	—	43	2	no	—
1373	C₂×C₄	—	43	2	no	—
1374	C₂×C₄	—	43	2	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	—	344	2	no	—
1412	C₂×C₄	—	344	2	no	—
1413	C₂×C₄	—	172	4	no	—
1414	C₂×C₄	—	172	4	no	—
1415	C₂×C₄	—	172	4	no	—
1416	C₂×C₄	—	172	4	no	—
1417	C₂×C₄	—	172	4	no	—
1418	C₂×C₄	—	172	4	no	—
1419	C₂²	—	2	2	no	—
1420	C₂²	—	2	2	no	—
1421	C₂²	—	2	2	no	—
1422	C₂²	—	2	2	no	—
1423	C₂²	—	2	2	no	—
1424	C₂²	—	2	2	no	—
1425	C₂²	—	86	2	no	—
1426	C₂²	—	86	2	no	—
1427	C₂²	—	86	2	no	—
1428	C₂²	—	86	2	no	—
1429	C₂²	—	86	2	no	—
1430	C₂²	—	86	2	no	—
1431	C₂²	—	172	16	no	—
1432	C₂²	—	172	1	no	—
1433	C₂²	—	172	1	no	—
1434	C₂²	—	172	1	no	—
1435	C₂²	—	172	1	no	—
1436	C₂²	—	172	1	no	—
1437	C₂²	—	172	1	no	—
1438	C₂²	—	172	1	no	—
1439	C₂²	—	172	1	no	—
1440	C₂²	—	172	1	no	—
1441	C₂²	—	172	1	no	—
1442	C₂²	—	172	1	no	—
1443	C₂²	—	172	1	no	—
1444	C₂²	—	172	1	no	—
1445	C₂²	—	172	1	no	—
1446	C₂²	—	172	1	no	—
1447	C₂²	#14583519	1	4	yes	—
1448	C₂²	C₂×#41×D₄₃	1	1	yes	characteristic
1449	C₂²	H(5,𝔽₂)×D₄₃	1	1	yes	characteristic
1450	C₂²	H(5,𝔽₂)×D₄₃	1	1	yes	characteristic
1451	C₂²	C₂×#13063370	1	1	yes	characteristic
1452	C₂²	2₋¹⁺⁴×D₄₃	1	1	yes	characteristic
1453	C₂²	C₂×#13063373	1	1	yes	characteristic
1454	C₂²	#14583736	1	1	yes	characteristic
1455	C₄	—	4	1	no	—
1456	C₄	—	4	1	no	—
1457	C₄	—	4	1	no	—
1458	C₄	—	4	1	no	—
1459	C₄	—	4	1	no	—
1460	C₄	—	4	1	no	—
1461	C₄	—	4	1	no	—
1462	C₄	—	4	1	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	—	86	2	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	C₂	—	2	4	no	—
1483	C₂	—	344	1	no	—
1484	C₂	—	172	2	no	—
1485	C₂	—	172	2	no	—
1486	C₂	C₂×#14583519	1	1	yes	characteristic
1487	C₂	#19148300	1	1	yes	characteristic
1488	C₂	#19148427	1	1	yes	characteristic
1489	C₂	#19148747	1	1	yes	characteristic
1490	C₂	#19148794	1	1	yes	characteristic
1491	C₂	#19148805	1	1	yes	characteristic
1492	C₂	#19148837	1	1	yes	characteristic

	subgroup	G/H
center, Frattini	C₂³	C₂⁴×D₄₃
commutator, socle, cosocle	C₂³×C₄₃	C₂⁵
Fitting	C₄₃×#2627	C₂
prime radical	C₂×#13063295	C₂²
hypercenter	#2627	D₄₃
hypocenter	C₄₃	#36778
LCS	G ▷ C₂³×C₄₃ ▷ C₄₃
UCS	C₁ ◁ C₂³ ◁ #2627

Complements

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

N	H ≅ G/N	type
2. #19142881	C₂	semidirect
3. #19142364	C₂	semidirect
4. #19142235	C₂	semidirect
5. #19142098	C₂	semidirect
6. #19142023	C₂	semidirect
7. #19142019	C₂	semidirect
8. #19142005	C₂	semidirect
9. #19141938	C₂	semidirect
10. #19141784	C₂	semidirect
11. #19141685	C₂	semidirect
12. #19141584	C₂	semidirect
13. #19141450	C₂	semidirect
14. #19141437	C₂	semidirect
15. #19141162	C₂	semidirect
16. #19141093	C₂	semidirect
17. #19141009	C₂	semidirect
18. #19140869	C₂	semidirect
19. #19140375	C₂	semidirect
20. #19139752	C₂	semidirect
22. #19138976	C₂	semidirect
23. #19138917	C₂	semidirect
24. #19138846	C₂	semidirect
26. #19138294	C₂	semidirect
27. #19138045	C₂	semidirect
28. #19137326	C₂	semidirect
29. #19137223	C₂	semidirect
30. C₂×#14582770	C₂	semidirect
31. C₄₃×#2627	C₂	semidirect
33. C₂×#13063323	C₂²	semidirect
41. C₂×#13063303	C₂²	semidirect
49. C₄₃⋊#401	C₂²	semidirect
50. #14582841	C₂²	semidirect
51. #14582841	C₂²	semidirect
52. #14582840	C₂²	semidirect
53. #14582840	C₂²	semidirect
54. #14582839	C₂²	semidirect
55. #14582837	C₂²	semidirect
56. #14582837	C₂²	semidirect
57. #14582834	C₂²	semidirect
58. #14582834	C₂²	semidirect
59. #14582833	C₂²	semidirect
60. #14582830	C₂²	semidirect
61. #14582830	C₂²	semidirect
62. #14582830	C₂²	semidirect
63. #14582830	C₂²	semidirect
64. #14582829	C₂²	semidirect
68. #14582828	C₂²	semidirect
72. #14582825	C₂²	semidirect
73. #14582825	C₂²	semidirect
76. #14582823	C₂²	semidirect
78. #14582821	C₂²	semidirect
79. #14582819	C₂²	semidirect
80. #14582818	C₂²	semidirect
87. #14582812	C₂²	semidirect
89. #14582804	C₂²	semidirect
90. #14582803	C₂²	semidirect
91. #14582803	C₂²	semidirect
92. #14582803	C₂²	semidirect
94. #14582795	C₂²	semidirect
95. #14582794	C₂²	semidirect
96. #14582794	C₂²	semidirect
97. #14582794	C₂²	semidirect
98. #14582794	C₂²	semidirect
102. #14582791	C₂²	semidirect
103. #14582791	C₂²	semidirect
107. #14582789	C₂²	semidirect
113. #14582788	C₂²	semidirect
114. #14582786	C₂²	semidirect
115. #14582786	C₂²	semidirect
116. #14582784	C₂²	semidirect
117. #14582784	C₂²	semidirect
118. #14582781	C₂²	semidirect
119. #14582781	C₂²	semidirect
120. #14582781	C₂²	semidirect
121. #14582780	C₂²	semidirect
122. #14582780	C₂²	semidirect
149. #14582768	C₂²	semidirect
150. #14582766	C₂²	semidirect
151. #14582766	C₂²	semidirect
152. #14582764	C₂²	semidirect
153. #14582763	C₂²	semidirect
157. #14582761	C₂²	semidirect
160. #14582758	C₂²	semidirect
163. #14582756	C₂²	semidirect
174. C₄₃×#400	C₂²	semidirect
175. C₄₃×#400	C₂²	semidirect
176. C₄₃×#398	C₂²	semidirect
177. C₄₃×#398	C₂²	semidirect
178. C₄₃×#398	C₂²	semidirect
179. C₄₃×#398	C₂²	semidirect
180. C₄₃×#395	C₂²	semidirect
181. C₄₃×#395	C₂²	semidirect
754. #2627	D₄₃	semidirect
805. #400	C₂×D₄₃	semidirect
806. #400	C₂×D₄₃	semidirect
815. #398	C₂×D₄₃	semidirect
816. #398	C₂×D₄₃	semidirect
817. #398	C₂×D₄₃	semidirect
818. #398	C₂×D₄₃	semidirect
835. #395	C₂×D₄₃	semidirect
836. #395	C₂×D₄₃	semidirect
933. C₄₃	#36778	semidirect

Maximal subgroups

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

subgroup	index
#19142890	2
#19142881	2
#19142364	2
#19142235	2
#19142098	2
#19142023	2
#19142019	2
#19142005	2
#19141938	2
#19141784	2
#19141685	2
#19141584	2
#19141450	2
#19141437	2
#19141162	2
#19141093	2
#19141009	2
#19140869	2
#19140375	2
#19139752	2
#19139490	2
#19138976	2
#19138917	2
#19138846	2
#19138728	2
#19138294	2
#19138045	2
#19137326	2
#19137223	2
C₂×#14582770	2
C₄₃×#2627	2
#36778	43