Subgroups — #25263416

Order 11008.

1752 conjugacy classes of subgroups.

The subgroup lattice has 1394 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#19140795	C₂	1	1	yes	maximal, characteristic, complemented
2	#19140779	C₂	1	1	yes	maximal, characteristic, complemented
3	#19140753	C₂	1	1	yes	maximal, characteristic, complemented
4	#19140749	C₂	1	1	yes	maximal, characteristic, complemented
5	#19140667	C₂	1	1	yes	maximal, characteristic, complemented
6	#19140663	C₂	1	1	yes	maximal, characteristic, complemented
7	#19140650	C₂	1	1	yes	maximal, characteristic, complemented
8	#19140640	C₂	1	1	yes	maximal, characteristic, complemented
9	#19140639	C₂	1	1	yes	maximal, characteristic, complemented
10	#19140597	C₂	1	1	yes	maximal, characteristic, complemented
11	#19140596	C₂	1	1	yes	maximal, characteristic, complemented
12	#19140519	C₂	1	1	yes	maximal, characteristic, complemented
13	#19140495	C₂	1	1	yes	maximal, characteristic
14	#19140465	C₂	1	1	yes	maximal, characteristic, complemented
15	#19140444	C₂	1	1	yes	maximal, characteristic
16	#19137901	C₂	1	1	yes	maximal, characteristic, complemented
17	#19137898	C₂	1	1	yes	maximal, characteristic, complemented
18	#19137872	C₂	1	1	yes	maximal, characteristic, complemented
19	#19137868	C₂	1	1	yes	maximal, characteristic, complemented
20	#19137861	C₂	1	1	yes	maximal, characteristic, complemented
21	#19137861	C₂	1	1	yes	maximal, characteristic, complemented
22	#19137859	C₂	1	1	yes	maximal, characteristic, complemented
23	#19137836	C₂	1	1	yes	maximal, characteristic
24	#19137152	C₂	1	1	yes	maximal, characteristic, complemented
25	#19137145	C₂	1	1	yes	maximal, characteristic, complemented
26	#19137129	C₂	1	1	yes	maximal, characteristic, complemented
27	#19137116	C₂	1	1	yes	maximal, characteristic, complemented
28	#19137076	C₂	1	1	yes	maximal, characteristic, complemented
29	#19137033	C₂	1	1	yes	maximal, characteristic, complemented
30	C₄×#13063287	C₂	1	1	yes	maximal, characteristic, complemented
31	C₄₃×#2655	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂×#13063320	C₂²	1	1	yes	characteristic
33	C₂×#13063315	C₂²	1	1	yes	characteristic
34	C₂×#13063310	C₂²	1	1	yes	characteristic
35	C₂×#13063303	C₂²	1	1	yes	characteristic
36	C₂×#13063290	C₂²	1	1	yes	characteristic
37	C₂×C₄×D₁₇₂	C₂²	1	1	yes	characteristic
38	C₂×#13063287	C₂²	1	1	yes	characteristic
39	C₂×#13063287	C₂²	1	1	yes	characteristic
40	C₂×#13063287	C₂²	1	1	yes	characteristic
41	C₂×#13063287	C₂²	1	1	yes	characteristic
42	C₂×#13063283	C₂²	1	1	yes	characteristic
43	C₂×#13063283	C₂²	1	1	yes	characteristic
44	C₂×#13063283	C₂²	1	1	yes	characteristic
45	C₂×C₄²×D₄₃	C₂²	1	1	yes	characteristic
46	C₂×C₄²×D₄₃	C₂²	1	1	yes	characteristic
47	#14582841	C₂²	1	1	yes	characteristic
48	#14582841	C₂²	1	1	yes	characteristic
49	#14582840	C₂²	1	1	yes	characteristic
50	#14582840	C₂²	1	1	yes	characteristic
51	#14582840	C₂²	1	1	yes	characteristic
52	#14582840	C₂²	1	1	yes	characteristic
53	#14582840	C₂²	1	1	yes	characteristic
54	#14582838	C₂²	1	1	yes	characteristic
55	#14582836	C₂²	1	1	yes	characteristic
56	#14582834	C₂²	1	1	yes	characteristic
57	#14582834	C₂²	1	1	yes	characteristic
58	#14582834	C₂²	1	1	yes	characteristic
59	#14582834	C₂²	1	1	yes	characteristic
60	#14582833	C₂²	1	1	yes	characteristic
61	#14582833	C₂²	1	1	yes	characteristic
62	#14582833	C₂²	1	1	yes	characteristic
63	#14582833	C₂²	1	1	yes	characteristic
64	#14582832	C₂²	1	1	yes	characteristic
65	#14582832	C₂²	1	1	yes	characteristic
66	#14582830	C₂²	1	1	yes	characteristic
67	#14582829	C₂²	1	1	yes	characteristic
68	#14582829	C₂²	1	1	yes	characteristic
69	#14582828	C₂²	1	1	yes	characteristic
70	#14582828	C₂²	1	1	yes	characteristic
71	#14582828	C₂²	1	1	yes	characteristic
72	#14582828	C₂²	1	1	yes	characteristic
73	#14582828	C₂²	1	1	yes	characteristic
74	#14582828	C₂²	1	1	yes	characteristic
75	#14582828	C₂²	1	1	yes	characteristic
76	#14582826	C₂²	1	1	yes	characteristic
77	#14582826	C₂²	1	1	yes	characteristic
78	#14582826	C₂²	1	1	yes	characteristic
79	#14582826	C₂²	1	1	yes	characteristic
80	#14582825	C₂²	1	1	yes	characteristic
81	#14582825	C₂²	1	1	yes	characteristic
82	#14582823	C₂²	1	1	yes	characteristic
83	#14582823	C₂²	1	1	yes	characteristic
84	#14582823	C₂²	1	1	yes	characteristic
85	#14582821	C₂²	1	1	yes	characteristic
86	#14582821	C₂²	1	1	yes	characteristic
87	#14582821	C₂²	1	1	yes	characteristic
88	#14582821	C₂²	1	1	yes	characteristic
89	#14582820	C₂²	1	1	yes	characteristic
90	#14582819	C₂²	1	1	yes	characteristic
91	#14582817	C₂²	1	1	yes	characteristic
92	#14582817	C₂²	1	1	yes	characteristic
93	#14582817	C₂²	1	1	yes	characteristic
94	#14582817	C₂²	1	1	yes	characteristic
95	#14582817	C₂²	1	1	yes	characteristic
96	#14582817	C₂²	1	1	yes	characteristic
97	#14582816	C₂²	1	1	yes	characteristic
98	#14582816	C₂²	1	1	yes	characteristic
99	#14582816	C₂²	1	1	yes	characteristic
100	#14582812	C₂²	1	1	yes	characteristic
101	#14582812	C₂²	1	1	yes	characteristic
102	#14582809	C₂²	1	1	yes	characteristic
103	#14582803	C₂²	1	1	yes	characteristic
104	#14582798	C₂²	1	1	yes	characteristic
105	#14582797	C₂²	1	1	yes	characteristic
106	#14582796	C₂²	1	1	yes	characteristic
107	#14582796	C₂²	1	1	yes	characteristic
108	#14582795	C₂²	1	1	yes	characteristic
109	#14582794	C₂²	1	1	yes	characteristic
110	#14582791	C₂²	1	1	yes	characteristic
111	#14582791	C₂²	1	1	yes	characteristic
112	#14582790	C₂²	1	1	yes	characteristic
113	#14582790	C₂²	1	1	yes	characteristic
114	#14582790	C₂²	1	1	yes	characteristic
115	#14582789	C₂²	1	1	yes	characteristic
116	#14582788	C₂²	1	1	yes	characteristic
117	#14582786	C₂²	1	1	yes	characteristic
118	#14582786	C₂²	1	1	yes	characteristic
119	#14582785	C₂²	1	1	yes	characteristic
120	#14582784	C₂²	1	1	yes	characteristic
121	#14582783	C₂²	1	1	yes	characteristic
122	#14582783	C₂²	1	1	yes	characteristic
123	#14582782	C₂²	1	1	yes	characteristic
124	#14582780	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	#14582773	C₂²	1	1	yes	characteristic
129	#14582773	C₂²	1	1	yes	characteristic
130	#14582773	C₂²	1	1	yes	characteristic
131	#14582773	C₂²	1	1	yes	characteristic
132	#14582773	C₂²	1	1	yes	characteristic
133	#14582770	C₂²	1	1	yes	characteristic
134	#14582770	C₂²	1	1	yes	characteristic
135	#14582770	C₂²	1	1	yes	characteristic
136	#14582770	C₂²	1	1	yes	characteristic
137	#14582766	C₂²	1	1	yes	characteristic
138	#14582763	C₂²	1	1	yes	characteristic
139	#14582761	C₂²	1	1	yes	characteristic
140	#14582758	C₂²	1	1	yes	characteristic
141	C₄⋊C₄×Dic₄₃	C₂²	1	1	yes	characteristic
142	C₄⋊C₄×Dic₄₃	C₂²	1	1	yes	characteristic
143	C₄⋊C₄×Dic₄₃	C₂²	1	1	yes	characteristic
144	C₄⋊C₄×Dic₄₃	C₂²	1	1	yes	characteristic
145	C₄⋊C₄×Dic₄₃	C₂²	1	1	yes	characteristic
146	C₄⋊C₄×Dic₄₃	C₂²	1	1	yes	characteristic
147	#14582750	C₂²	1	1	yes	characteristic
148	#14582750	C₂²	1	1	yes	characteristic
149	#14582750	C₂²	1	1	yes	characteristic
150	#14582750	C₂²	1	1	yes	characteristic
151	#14582750	C₂²	1	1	yes	characteristic
152	#14582750	C₂²	1	1	yes	characteristic
153	#14582750	C₂²	1	1	yes	characteristic
154	#14582750	C₂²	1	1	yes	characteristic
155	#14582750	C₂²	1	1	yes	characteristic
156	C₄×(C₂×D₄₃)⋊C₄	C₂²	1	1	yes	characteristic
157	C₄×(C₂×D₄₃)⋊C₄	C₂²	1	1	yes	characteristic
158	#14582746	C₂²	1	1	yes	characteristic
159	#14582746	C₂²	1	1	yes	characteristic
160	#14582746	C₂²	1	1	yes	characteristic
161	#14582746	C₂²	1	1	yes	characteristic
162	#14582746	C₂²	1	1	yes	characteristic
163	#14582746	C₂²	1	1	yes	characteristic
164	#14582746	C₂²	1	1	yes	characteristic
165	#14582746	C₂²	1	1	yes	characteristic
166	#14582746	C₂²	1	1	yes	characteristic
167	#14582746	C₂²	1	1	yes	characteristic
168	#14582746	C₂²	1	1	yes	characteristic
169	#14582746	C₂²	1	1	yes	characteristic
170	#14582744	C₂²	1	1	yes	characteristic
171	C₄²×Dic₄₃	C₂²	1	1	yes	characteristic
172	C₄₃×#401	C₂²	1	1	yes	characteristic
173	C₄₃×#400	C₂²	1	1	yes	characteristic
174	C₄₃×#400	C₂²	1	1	yes	characteristic
175	C₄₃×#400	C₂²	1	1	yes	characteristic
176	C₄₃×#400	C₂²	1	1	yes	characteristic
177	C₄₃×#398	C₂²	1	1	yes	characteristic
178	C₄₃×#398	C₂²	1	1	yes	characteristic
179	C₄₃×#398	C₂²	1	1	yes	characteristic
180	C₄₃×#389	C₂²	1	1	yes	characteristic
181	C₄₃×#387	C₂²	1	1	yes	characteristic
182	C₄₃×#387	C₂²	1	1	yes	characteristic
183	C₄₃×#387	C₂²	1	1	yes	characteristic
184	C₄₃×#387	C₂²	1	1	yes	characteristic
185	C₄₃×#387	C₂²	1	1	yes	characteristic
186	C₄×C₄⋊C₄×C₄₃	C₂²	1	1	yes	characteristic
187	C₂²×Dic₈₆	C₂³	1	1	yes	characteristic
188	C₂²×D₁₇₂	C₂³	1	1	yes	characteristic
189	C₂²×D₁₇₂	C₂³	1	1	yes	characteristic
190	C₂²×D₁₇₂	C₂³	1	1	yes	characteristic
191	C₂²×C₄×D₄₃	C₂³	1	1	yes	characteristic
192	C₂²×C₄×D₄₃	C₂³	1	1	yes	characteristic
193	C₂²×C₄×D₄₃	C₂³	1	1	yes	characteristic
194	C₂²×C₄×D₄₃	C₂³	1	1	yes	characteristic
195	C₂²×C₄×D₄₃	C₂³	1	1	yes	characteristic
196	C₂²×C₄×D₄₃	C₂³	1	1	yes	characteristic
197	C₂²×C₄×D₄₃	C₂³	1	1	yes	characteristic
198	#13063320	—	2	4	no	—
199	#13063315	—	2	4	no	—
200	#13063310	—	2	4	no	—
201	#13063303	—	2	4	no	—
202	#13063290	—	4	2	no	—
203	C₄×D₁₇₂	—	2	4	no	—
204	#13063287	—	2	4	no	—
205	#13063287	—	2	4	no	—
206	#13063287	—	2	4	no	—
207	#13063287	—	4	2	no	—
208	#13063283	—	2	4	no	—
209	#13063283	—	4	2	no	—
210	#13063283	—	4	2	no	—
211	C₂×C₄⋊Dic₄₃	C₂³	1	1	yes	characteristic
212	C₂×C₄⋊Dic₄₃	C₂³	1	1	yes	characteristic
213	C₂×C₄⋊Dic₄₃	C₂³	1	1	yes	characteristic
214	C₂×C₄⋊Dic₄₃	C₂³	1	1	yes	characteristic
215	C₂×C₄⋊Dic₄₃	C₂³	1	1	yes	characteristic
216	C₂×C₄⋊Dic₄₃	C₂³	1	1	yes	characteristic
217	C₂×C₄⋊Dic₄₃	C₂³	1	1	yes	characteristic
218	C₂×C₄⋊Dic₄₃	C₂³	1	1	yes	characteristic
219	C₂×Dic₄₃⋊C₄	C₂³	1	1	yes	characteristic
220	C₂×Dic₄₃⋊C₄	C₂³	1	1	yes	characteristic
221	C₂×Dic₄₃⋊C₄	C₂³	1	1	yes	characteristic
222	C₂×Dic₄₃⋊C₄	C₂³	1	1	yes	characteristic
223	C₂×Dic₄₃⋊C₄	C₂³	1	1	yes	characteristic
224	C₂×Dic₄₃⋊C₄	C₂³	1	1	yes	characteristic
225	C₂×Dic₄₃⋊C₄	C₂³	1	1	yes	characteristic
226	C₂×Dic₄₃⋊C₄	C₂³	1	1	yes	characteristic
227	C₂×Dic₄₃⋊C₄	C₂³	1	1	yes	characteristic
228	C₂×Dic₄₃⋊C₄	C₂³	1	1	yes	characteristic
229	C₂×Dic₄₃⋊C₄	C₂³	1	1	yes	characteristic
230	C₂×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×(C₂×D₄₃)⋊C₄	C₂³	1	1	yes	characteristic
240	C₂×(C₂×D₄₃)⋊C₄	C₂³	1	1	yes	characteristic
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×(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×C₄×Dic₄₃	C₂³	1	1	yes	characteristic
272	C₂×C₄×Dic₄₃	C₂³	1	1	yes	characteristic
273	C₂×C₄×Dic₄₃	C₂³	1	1	yes	characteristic
274	C₂×C₄×Dic₄₃	C₂³	1	1	yes	characteristic
275	C₂×C₄×Dic₄₃	C₂³	1	1	yes	characteristic
276	C₂×C₄×Dic₄₃	C₂³	1	1	yes	characteristic
277	C₂×C₄×Dic₄₃	C₂³	1	1	yes	characteristic
278	C₂×C₄×Dic₄₃	C₂³	1	1	yes	characteristic
279	C₂×C₄×Dic₄₃	C₂³	1	1	yes	characteristic
280	C₂×C₄×Dic₄₃	C₂³	1	1	yes	characteristic
281	C₂×C₄×Dic₄₃	C₂³	1	1	yes	characteristic
282	C₂×C₄×Dic₄₃	C₂³	1	1	yes	characteristic
283	C₂×C₄×Dic₄₃	C₂³	1	1	yes	characteristic
284	C₂×C₄×Dic₄₃	C₂³	1	1	yes	characteristic
285	C₂×C₄×Dic₄₃	C₂³	1	1	yes	characteristic
286	C₂×C₄×Dic₄₃	C₂³	1	1	yes	characteristic
287	C₂×C₄×Dic₄₃	C₂³	1	1	yes	characteristic
288	C₄²×D₄₃	—	4	2	no	—
289	C₄²×D₄₃	—	4	2	no	—
290	C₄₃⋊#95	C₂³	1	1	yes	characteristic
291	C₄₃⋊#95	C₂³	1	1	yes	characteristic
292	C₄₃⋊#95	C₂³	1	1	yes	characteristic
293	C₄₃⋊#95	C₂³	1	1	yes	characteristic
294	C₄₃⋊#95	C₂³	1	1	yes	characteristic
295	C₄₃⋊#95	C₂³	1	1	yes	characteristic
296	C₄₃⋊#95	C₂³	1	1	yes	characteristic
297	C₄₃⋊#95	C₂³	1	1	yes	characteristic
298	C₄₃⋊#95	C₂³	1	1	yes	characteristic
299	C₄₃⋊#95	C₂³	1	1	yes	characteristic
300	C₄₃⋊#95	C₂³	1	1	yes	characteristic
301	C₄₃⋊#95	C₂³	1	1	yes	characteristic
302	C₄₃⋊#95	C₂³	1	1	yes	characteristic
303	C₄₃⋊#95	C₂³	1	1	yes	characteristic
304	C₄₃⋊#95	C₂³	1	1	yes	characteristic
305	C₄₃⋊#95	C₂³	1	1	yes	characteristic
306	C₄₃⋊#95	C₂³	1	1	yes	characteristic
307	C₄₃⋊#95	C₂³	1	1	yes	characteristic
308	C₄₃⋊#95	C₂³	1	1	yes	characteristic
309	C₄₃⋊#95	C₂³	1	1	yes	characteristic
310	C₄₃⋊#95	C₂³	1	1	yes	characteristic
311	C₄₃⋊#95	C₂³	1	1	yes	characteristic
312	C₄₃⋊#95	C₂³	1	1	yes	characteristic
313	C₄₃⋊#95	C₂³	1	1	yes	characteristic
314	C₄₃⋊#95	C₂³	1	1	yes	characteristic
315	C₄₃⋊#95	C₂³	1	1	yes	characteristic
316	C₄₃⋊#95	C₂³	1	1	yes	characteristic
317	C₄₃⋊#95	C₂³	1	1	yes	characteristic
318	C₄₃⋊#95	C₂³	1	1	yes	characteristic
319	C₄₃⋊#95	C₂³	1	1	yes	characteristic
320	C₄₃⋊#95	C₂³	1	1	yes	characteristic
321	C₄₃⋊#95	C₂³	1	1	yes	characteristic
322	C₂×C₄⋊C₄×C₄₃	C₂³	1	1	yes	characteristic
323	C₂×C₄⋊C₄×C₄₃	C₂³	1	1	yes	characteristic
324	C₂×C₄⋊C₄×C₄₃	C₂³	1	1	yes	characteristic
325	C₂×C₄⋊C₄×C₄₃	C₂³	1	1	yes	characteristic
326	C₂×C₄⋊C₄×C₄₃	C₂³	1	1	yes	characteristic
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×C₄⋊C₄×C₄₃	C₂³	1	1	yes	characteristic
331	C₂×C₄⋊C₄×C₄₃	C₂³	1	1	yes	characteristic
332	C₂×C₄⋊C₄×C₄₃	C₂³	1	1	yes	characteristic
333	C₂×C₄⋊C₄×C₄₃	C₂³	1	1	yes	characteristic
334	C₂×C₄²×C₄₃	C₂³	1	1	yes	characteristic
335	C₂×C₄²×C₄₃	C₂³	1	1	yes	characteristic
336	C₂×C₄²×C₄₃	C₂³	1	1	yes	characteristic
337	#95×C₄₃	C₂³	1	1	yes	characteristic
338	#95×C₄₃	C₂³	1	1	yes	characteristic
339	#95×C₄₃	C₂³	1	1	yes	characteristic
340	#95×C₄₃	C₂³	1	1	yes	characteristic
341	#95×C₄₃	C₂³	1	1	yes	characteristic
342	#95×C₄₃	C₂³	1	1	yes	characteristic
343	#95×C₄₃	C₂³	1	1	yes	characteristic
344	#95×C₄₃	C₂³	1	1	yes	characteristic
345	#95×C₄₃	C₂³	1	1	yes	characteristic
346	#95×C₄₃	C₂³	1	1	yes	characteristic
347	#95×C₄₃	C₂³	1	1	yes	characteristic
348	#95×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	C₂³×D₄₃	C₂⁴	1	1	yes	characteristic
358	C₂³×D₄₃	C₂⁴	1	1	yes	characteristic
359	C₂³×D₄₃	C₂⁴	1	1	yes	characteristic
360	C₂²×C₄×C₄₃	C₂⁴	1	1	yes	characteristic
361	C₂²×C₄×C₄₃	C₂⁴	1	1	yes	characteristic
362	C₂²×C₄×C₄₃	C₂⁴	1	1	yes	characteristic
363	C₂²×C₄×C₄₃	C₂⁴	1	1	yes	characteristic
364	C₂²×C₄×C₄₃	C₂⁴	1	1	yes	characteristic
365	C₂²×C₄×C₄₃	C₂⁴	1	1	yes	characteristic
366	C₂²×C₄×C₄₃	C₂⁴	1	1	yes	characteristic
367	C₂²×C₄×C₄₃	C₂⁴	1	1	yes	characteristic
368	C₂²×C₄×C₄₃	C₂⁴	1	1	yes	characteristic
369	C₂²×C₄×C₄₃	C₂⁴	1	1	yes	characteristic
370	C₂²×C₄×C₄₃	C₂⁴	1	1	yes	characteristic
371	C₂²×C₄×C₄₃	C₂⁴	1	1	yes	characteristic
372	C₂²×C₄×C₄₃	C₂⁴	1	1	yes	characteristic
373	C₂²×C₄×C₄₃	C₂⁴	1	1	yes	characteristic
374	C₂²×C₄×C₄₃	C₂⁴	1	1	yes	characteristic
375	C₂²×Dic₄₃	C₂⁴	1	1	yes	characteristic
376	C₂²×Dic₄₃	C₂⁴	1	1	yes	characteristic
377	C₂²×Dic₄₃	C₂⁴	1	1	yes	characteristic
378	C₂²×Dic₄₃	C₂⁴	1	1	yes	characteristic
379	C₂²×Dic₄₃	C₂⁴	1	1	yes	characteristic
380	C₂²×Dic₄₃	C₂⁴	1	1	yes	characteristic
381	C₂²×Dic₄₃	C₂⁴	1	1	yes	characteristic
382	C₂²×Dic₄₃	C₂⁴	1	1	yes	characteristic
383	C₂²×Dic₄₃	C₂⁴	1	1	yes	characteristic
384	C₂²×Dic₄₃	C₂⁴	1	1	yes	characteristic
385	C₂²×Dic₄₃	C₂⁴	1	1	yes	characteristic
386	C₂²×Dic₄₃	C₂⁴	1	1	yes	characteristic
387	C₂²×Dic₄₃	C₂⁴	1	1	yes	characteristic
388	C₂×D₁₇₂	—	2	2	no	—
389	C₂×D₁₇₂	—	2	2	no	—
390	C₂×D₁₇₂	—	2	2	no	—
391	C₂×D₁₇₂	—	2	2	no	—
392	C₂×D₁₇₂	—	2	2	no	—
393	C₂×D₁₇₂	—	4	1	no	—
394	C₂×D₁₇₂	—	4	1	no	—
395	C₂×D₁₇₂	—	4	1	no	—
396	C₂×D₁₇₂	—	4	1	no	—
397	C₂×C₄×D₄₃	—	2	2	no	—
398	C₂×C₄×D₄₃	—	2	2	no	—
399	C₂×C₄×D₄₃	—	2	2	no	—
400	C₂×C₄×D₄₃	—	2	2	no	—
401	C₂×C₄×D₄₃	—	2	2	no	—
402	C₂×C₄×D₄₃	—	2	2	no	—
403	C₂×C₄×D₄₃	—	2	2	no	—
404	C₂×C₄×D₄₃	—	2	2	no	—
405	C₂×C₄×D₄₃	—	2	2	no	—
406	C₂×C₄×D₄₃	—	2	2	no	—
407	C₂×C₄×D₄₃	—	2	2	no	—
408	C₂×C₄×D₄₃	—	4	1	no	—
409	C₂×C₄×D₄₃	—	4	1	no	—
410	C₂×C₄×D₄₃	—	4	1	no	—
411	C₂×C₄×D₄₃	—	4	1	no	—
412	C₂×C₄×D₄₃	—	4	1	no	—
413	C₂×C₄×D₄₃	—	4	1	no	—
414	C₂×C₄×D₄₃	—	4	1	no	—
415	C₂×C₄×D₄₃	—	4	1	no	—
416	C₂×C₄×D₄₃	#41	1	4	yes	—
417	C₂×C₄×D₄₃	#41	1	4	yes	—
418	C₂×Dic₈₆	—	2	2	no	—
419	C₂×Dic₈₆	—	4	1	no	—
420	C₂×Dic₈₆	—	4	1	no	—
421	C₄⋊C₄×C₄₃	—	2	2	no	—
422	C₄⋊C₄×C₄₃	—	2	2	no	—
423	C₄⋊C₄×C₄₃	—	2	2	no	—
424	C₄⋊C₄×C₄₃	—	2	2	no	—
425	C₄⋊C₄×C₄₃	—	2	2	no	—
426	C₄⋊C₄×C₄₃	—	2	2	no	—
427	C₄⋊C₄×C₄₃	—	2	2	no	—
428	C₄⋊C₄×C₄₃	—	2	2	no	—
429	C₄⋊C₄×C₄₃	—	4	1	no	—
430	C₄⋊C₄×C₄₃	—	4	1	no	—
431	C₄⋊C₄×C₄₃	—	4	1	no	—
432	C₄⋊C₄×C₄₃	—	4	1	no	—
433	C₄²×C₄₃	—	2	2	no	—
434	C₄²×C₄₃	—	4	1	no	—
435	C₄²×C₄₃	—	4	1	no	—
436	(C₂×D₄₃)⋊C₄	—	2	2	no	—
437	(C₂×D₄₃)⋊C₄	—	2	2	no	—
438	(C₂×D₄₃)⋊C₄	—	2	2	no	—
439	(C₂×D₄₃)⋊C₄	—	2	2	no	—
440	(C₂×D₄₃)⋊C₄	—	2	2	no	—
441	(C₂×D₄₃)⋊C₄	—	2	2	no	—
442	(C₂×D₄₃)⋊C₄	—	2	2	no	—
443	(C₂×D₄₃)⋊C₄	—	2	2	no	—
444	(C₂×D₄₃)⋊C₄	—	2	2	no	—
445	(C₂×D₄₃)⋊C₄	—	2	2	no	—
446	(C₂×D₄₃)⋊C₄	—	2	2	no	—
447	(C₂×D₄₃)⋊C₄	—	2	2	no	—
448	(C₂×D₄₃)⋊C₄	—	2	2	no	—
449	(C₂×D₄₃)⋊C₄	—	2	2	no	—
450	(C₂×D₄₃)⋊C₄	—	2	2	no	—
451	(C₂×D₄₃)⋊C₄	—	2	2	no	—
452	(C₂×D₄₃)⋊C₄	—	2	2	no	—
453	(C₂×D₄₃)⋊C₄	—	2	2	no	—
454	(C₂×D₄₃)⋊C₄	—	4	1	no	—
455	(C₂×D₄₃)⋊C₄	—	4	1	no	—
456	(C₂×D₄₃)⋊C₄	—	4	1	no	—
457	(C₂×D₄₃)⋊C₄	—	4	1	no	—
458	(C₂×D₄₃)⋊C₄	—	4	1	no	—
459	(C₂×D₄₃)⋊C₄	—	4	1	no	—
460	(C₂×D₄₃)⋊C₄	—	4	1	no	—
461	(C₂×D₄₃)⋊C₄	—	4	1	no	—
462	(C₂×D₄₃)⋊C₄	—	4	1	no	—
463	(C₂×D₄₃)⋊C₄	—	4	1	no	—
464	(C₂×D₄₃)⋊C₄	—	4	1	no	—
465	(C₂×D₄₃)⋊C₄	—	4	1	no	—
466	(C₂×D₄₃)⋊C₄	—	4	1	no	—
467	(C₂×D₄₃)⋊C₄	—	4	1	no	—
468	C₄⋊Dic₄₃	—	2	2	no	—
469	C₄⋊Dic₄₃	—	2	2	no	—
470	C₄⋊Dic₄₃	—	2	2	no	—
471	C₄⋊Dic₄₃	—	2	2	no	—
472	C₄⋊Dic₄₃	—	4	1	no	—
473	C₄⋊Dic₄₃	—	4	1	no	—
474	C₄⋊Dic₄₃	—	4	1	no	—
475	C₄⋊Dic₄₃	—	4	1	no	—
476	Dic₄₃⋊C₄	—	2	2	no	—
477	Dic₄₃⋊C₄	—	2	2	no	—
478	Dic₄₃⋊C₄	—	2	2	no	—
479	Dic₄₃⋊C₄	—	2	2	no	—
480	Dic₄₃⋊C₄	—	2	2	no	—
481	Dic₄₃⋊C₄	—	2	2	no	—
482	Dic₄₃⋊C₄	—	2	2	no	—
483	Dic₄₃⋊C₄	—	2	2	no	—
484	Dic₄₃⋊C₄	—	4	1	no	—
485	Dic₄₃⋊C₄	—	4	1	no	—
486	Dic₄₃⋊C₄	—	4	1	no	—
487	Dic₄₃⋊C₄	—	4	1	no	—
488	Dic₄₃⋊C₄	—	4	1	no	—
489	Dic₄₃⋊C₄	—	4	1	no	—
490	Dic₄₃⋊C₄	—	4	1	no	—
491	Dic₄₃⋊C₄	—	4	1	no	—
492	Dic₄₃⋊C₄	—	4	1	no	—
493	Dic₄₃⋊C₄	—	4	1	no	—
494	Dic₄₃⋊C₄	—	4	1	no	—
495	Dic₄₃⋊C₄	—	4	1	no	—
496	C₄×Dic₄₃	—	2	2	no	—
497	C₄×Dic₄₃	—	2	2	no	—
498	C₄×Dic₄₃	—	2	2	no	—
499	C₄×Dic₄₃	—	2	2	no	—
500	C₄×Dic₄₃	—	2	2	no	—
501	C₄×Dic₄₃	—	2	2	no	—
502	C₄×Dic₄₃	—	2	2	no	—
503	C₄×Dic₄₃	—	2	2	no	—
504	C₄×Dic₄₃	—	2	2	no	—
505	C₄×Dic₄₃	—	2	2	no	—
506	C₄×Dic₄₃	—	2	2	no	—
507	C₄×Dic₄₃	—	2	2	no	—
508	C₄×Dic₄₃	—	4	1	no	—
509	C₄×Dic₄₃	—	4	1	no	—
510	C₄×Dic₄₃	—	4	1	no	—
511	C₄×Dic₄₃	—	4	1	no	—
512	C₄×Dic₄₃	#41	1	4	yes	—
513	C₂³×C₄₃	C₂⁵	1	1	yes	characteristic
514	C₂²×D₄₃	—	2	1	no	—
515	C₂²×D₄₃	—	2	1	no	—
516	C₂²×D₄₃	—	2	1	no	—
517	C₂²×D₄₃	—	2	1	no	—
518	C₂²×D₄₃	—	2	1	no	—
519	C₂²×D₄₃	—	2	1	no	—
520	C₂²×D₄₃	—	2	1	no	—
521	C₂²×D₄₃	—	2	1	no	—
522	C₂²×D₄₃	—	2	1	no	—
523	C₂²×D₄₃	—	2	1	no	—
524	C₂²×D₄₃	—	2	1	no	—
525	C₂²×D₄₃	—	2	1	no	—
526	C₂²×D₄₃	—	2	1	no	—
527	C₂²×D₄₃	—	2	1	no	—
528	C₂²×D₄₃	—	2	1	no	—
529	C₂²×D₄₃	—	2	1	no	—
530	C₂²×D₄₃	—	2	1	no	—
531	C₂²×D₄₃	—	2	1	no	—
532	C₂²×D₄₃	—	2	1	no	—
533	C₂²×D₄₃	C₂×#41	1	2	yes	—
534	C₂²×D₄₃	C₂×#41	1	2	yes	—
535	C₂×C₄×C₄₃	—	2	1	no	—
536	C₂×C₄×C₄₃	—	2	1	no	—
537	C₂×C₄×C₄₃	—	2	1	no	—
538	C₂×C₄×C₄₃	—	2	1	no	—
539	C₂×C₄×C₄₃	—	2	1	no	—
540	C₂×C₄×C₄₃	—	2	1	no	—
541	C₂×C₄×C₄₃	—	2	1	no	—
542	C₂×C₄×C₄₃	—	2	1	no	—
543	C₂×C₄×C₄₃	—	2	1	no	—
544	C₂×C₄×C₄₃	—	2	1	no	—
545	C₂×C₄×C₄₃	—	2	1	no	—
546	C₂×C₄×C₄₃	—	2	1	no	—
547	C₂×C₄×C₄₃	—	2	1	no	—
548	C₂×C₄×C₄₃	—	2	1	no	—
549	C₂×C₄×C₄₃	—	2	1	no	—
550	C₂×C₄×C₄₃	—	2	1	no	—
551	C₂×C₄×C₄₃	—	2	1	no	—
552	C₂×C₄×C₄₃	—	2	1	no	—
553	C₂×C₄×C₄₃	—	2	1	no	—
554	C₂×C₄×C₄₃	—	2	1	no	—
555	C₂×C₄×C₄₃	—	2	1	no	—
556	C₂×C₄×C₄₃	—	2	1	no	—
557	C₂×C₄×C₄₃	—	2	1	no	—
558	C₂×C₄×C₄₃	—	2	1	no	—
559	C₂×C₄×C₄₃	—	2	1	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	C₂×#41	1	2	yes	—
578	C₂×C₄×C₄₃	C₂×#41	1	2	yes	—
579	C₂×C₄×C₄₃	C₂×#41	1	2	yes	—
580	C₂×Dic₄₃	—	2	1	no	—
581	C₂×Dic₄₃	—	2	1	no	—
582	C₂×Dic₄₃	—	2	1	no	—
583	C₂×Dic₄₃	—	2	1	no	—
584	C₂×Dic₄₃	—	2	1	no	—
585	C₂×Dic₄₃	—	2	1	no	—
586	C₂×Dic₄₃	—	2	1	no	—
587	C₂×Dic₄₃	—	2	1	no	—
588	C₂×Dic₄₃	—	2	1	no	—
589	C₂×Dic₄₃	—	2	1	no	—
590	C₂×Dic₄₃	—	2	1	no	—
591	C₂×Dic₄₃	—	2	1	no	—
592	C₂×Dic₄₃	—	2	1	no	—
593	C₂×Dic₄₃	—	2	1	no	—
594	C₂×Dic₄₃	—	2	1	no	—
595	C₂×Dic₄₃	—	2	1	no	—
596	C₂×Dic₄₃	—	2	1	no	—
597	C₂×Dic₄₃	—	2	1	no	—
598	C₂×Dic₄₃	—	2	1	no	—
599	C₂×Dic₄₃	—	2	1	no	—
600	C₂×Dic₄₃	—	2	1	no	—
601	C₂×Dic₄₃	—	2	1	no	—
602	C₂×Dic₄₃	—	2	1	no	—
603	C₂×Dic₄₃	—	2	1	no	—
604	C₂×Dic₄₃	—	2	1	no	—
605	C₂×Dic₄₃	—	2	1	no	—
606	C₂×Dic₄₃	—	2	1	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	C₂×#41	1	2	yes	—
614	C₂×Dic₄₃	C₂×#41	1	2	yes	—
615	C₂×Dic₄₃	C₂×#41	1	2	yes	—
616	C₂×Dic₄₃	C₂×#41	1	2	yes	—
617	C₂×Dic₄₃	H(5,𝔽₂)	1	2	yes	—
618	C₂×Dic₄₃	2₋¹⁺⁴	1	2	yes	—
619	D₁₇₂	—	2	8	no	—
620	D₁₇₂	—	4	4	no	—
621	D₁₇₂	—	4	4	no	—
622	C₄×D₄₃	—	2	8	no	—
623	C₄×D₄₃	—	4	4	no	—
624	C₄×D₄₃	—	4	4	no	—
625	C₄×D₄₃	—	4	4	no	—
626	C₄×D₄₃	—	4	4	no	—
627	C₄×D₄₃	—	4	4	no	—
628	C₄×D₄₃	—	4	4	no	—
629	Dic₈₆	—	4	4	no	—
630	#34592	—	43	1	no	maximal, Sylow
631	C₂²×C₄₃	C₂²×#41	1	1	yes	characteristic
632	C₂²×C₄₃	C₂²×#41	1	1	yes	characteristic
633	C₂²×C₄₃	C₂²×#41	1	1	yes	characteristic
634	C₂²×C₄₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
635	C₂²×C₄₃	C₂×2₋¹⁺⁴	1	1	yes	characteristic
636	C₂²×C₄₃	#585	1	1	yes	characteristic
637	C₂²×C₄₃	#585	1	1	yes	characteristic
638	C₂×D₄₃	—	2	2	no	—
639	C₂×D₄₃	—	2	2	no	—
640	C₂×D₄₃	—	2	2	no	—
641	C₂×D₄₃	—	2	2	no	—
642	C₂×D₄₃	—	2	2	no	—
643	C₂×D₄₃	—	2	2	no	—
644	C₂×D₄₃	—	4	1	no	—
645	C₂×D₄₃	—	4	1	no	—
646	C₂×D₄₃	—	4	1	no	—
647	C₂×D₄₃	—	4	1	no	—
648	C₂×D₄₃	—	4	1	no	—
649	C₂×D₄₃	—	4	1	no	—
650	C₂×D₄₃	—	4	1	no	—
651	C₂×D₄₃	—	4	1	no	—
652	C₂×D₄₃	—	4	1	no	—
653	C₂×D₄₃	—	4	1	no	—
654	C₂×D₄₃	—	4	1	no	—
655	C₂×D₄₃	—	4	1	no	—
656	C₂×D₄₃	—	4	1	no	—
657	C₂×D₄₃	—	4	1	no	—
658	C₂×D₄₃	—	4	1	no	—
659	C₄×C₄₃	—	2	2	no	—
660	C₄×C₄₃	—	2	2	no	—
661	C₄×C₄₃	—	2	2	no	—
662	C₄×C₄₃	—	4	1	no	—
663	C₄×C₄₃	—	4	1	no	—
664	C₄×C₄₃	—	4	1	no	—
665	C₄×C₄₃	—	4	1	no	—
666	C₄×C₄₃	—	4	1	no	—
667	C₄×C₄₃	—	4	1	no	—
668	C₄×C₄₃	—	4	1	no	—
669	C₄×C₄₃	—	4	1	no	—
670	C₄×C₄₃	—	4	1	no	—
671	C₄×C₄₃	—	4	1	no	—
672	C₄×C₄₃	—	4	1	no	—
673	C₄×C₄₃	—	4	1	no	—
674	Dic₄₃	—	2	2	no	—
675	Dic₄₃	—	2	2	no	—
676	Dic₄₃	—	2	2	no	—
677	Dic₄₃	—	4	1	no	—
678	Dic₄₃	—	4	1	no	—
679	Dic₄₃	—	4	1	no	—
680	Dic₄₃	—	4	1	no	—
681	Dic₄₃	—	4	1	no	—
682	Dic₄₃	—	4	1	no	—
683	Dic₄₃	—	4	1	no	—
684	Dic₄₃	—	4	1	no	—
685	Dic₄₃	—	4	1	no	—
686	Dic₄₃	#539	1	4	yes	—
687	#2667	—	43	1	no	—
688	#2666	—	43	1	no	—
689	#2664	—	43	1	no	—
690	#2663	—	43	1	no	—
691	#2655	D₄₃	1	1	yes	characteristic, complemented
692	#2654	—	43	1	no	—
693	#2653	—	43	1	no	—
694	#2652	—	43	1	no	—
695	#2652	—	43	1	no	—
696	#2652	—	43	1	no	—
697	#2649	—	43	1	no	—
698	#2649	—	43	1	no	—
699	#2638	—	43	1	no	—
700	#2636	—	43	1	no	—
701	#2633	—	43	1	no	—
702	#2630	—	43	1	no	—
703	#2402	—	43	1	no	—
704	#2401	—	43	1	no	—
705	#2396	—	43	1	no	—
706	#2396	—	43	1	no	—
707	#2395	—	43	1	no	—
708	#2395	—	43	1	no	—
709	#2395	—	43	1	no	—
710	#2392	—	43	1	no	—
711	C₄×#125	—	43	1	no	—
712	C₄×#126	—	43	1	no	—
713	C₄×C₂²⋊Q₈	—	43	1	no	—
714	C₄×#123	—	43	1	no	—
715	#2296	—	43	1	no	—
716	#2290	—	43	1	no	—
717	C₄²×D₄	—	43	1	no	—
718	C₂×C₄₃	#3444	1	1	yes	characteristic
719	C₂×C₄₃	C₂×#539	1	1	yes	characteristic
720	C₂×C₄₃	#3455	1	1	yes	characteristic
721	C₂×C₄₃	#3459	1	1	yes	characteristic
722	C₂×C₄₃	#3460	1	1	yes	characteristic
723	C₂×C₄₃	#3461	1	1	yes	characteristic
724	C₂×C₄₃	#3461	1	1	yes	characteristic
725	D₄₃	—	4	2	no	—
726	D₄₃	—	4	2	no	—
727	D₄₃	—	8	1	no	—
728	C₂×#126	—	43	1	no	—
729	C₂×#125	—	43	1	no	—
730	C₂×#123	—	43	1	no	—
731	C₂×C₂²⋊Q₈	—	43	1	no	—
732	C₂×C₄×Q₈	—	43	1	no	—
733	C₂×C₄×D₄	—	43	1	no	—
734	C₂×C₄×D₄	—	43	1	no	—
735	C₂×C₄×D₄	—	43	1	no	—
736	C₂×C₄×D₄	—	43	1	no	—
737	C₂×C₄×D₄	—	43	1	no	—
738	C₂×#117	—	43	1	no	—
739	C₂×#117	—	43	1	no	—
740	C₂×#117	—	43	1	no	—
741	C₂²×C₄²	—	43	1	no	—
742	C₂²×C₄²	—	43	1	no	—
743	#401	C₂×D₄₃	1	1	yes	characteristic
744	#400	—	43	1	no	—
745	#400	—	43	1	no	—
746	#400	—	43	1	no	—
747	#400	—	43	1	no	—
748	#400	—	43	1	no	—
749	#400	—	43	1	no	—
750	#400	—	43	1	no	—
751	#400	—	43	1	no	—
752	#400	C₂×D₄₃	1	1	yes	characteristic
753	#400	C₂×D₄₃	1	1	yes	characteristic
754	#400	C₂×D₄₃	1	1	yes	characteristic
755	#400	C₂×D₄₃	1	1	yes	characteristic
756	#399	—	43	1	no	—
757	#399	—	43	1	no	—
758	#399	—	43	1	no	—
759	#399	—	43	1	no	—
760	#399	—	43	1	no	—
761	#398	—	43	1	no	—
762	#398	—	43	1	no	—
763	#398	—	43	1	no	—
764	#398	—	43	1	no	—
765	#398	—	43	1	no	—
766	#398	—	43	1	no	—
767	#398	—	43	1	no	—
768	#398	—	43	1	no	—
769	#398	—	43	1	no	—
770	#398	C₂×D₄₃	1	1	yes	characteristic
771	#398	C₂×D₄₃	1	1	yes	characteristic
772	#398	C₂×D₄₃	1	1	yes	characteristic
773	#397	—	43	1	no	—
774	#397	—	43	1	no	—
775	#397	—	43	1	no	—
776	#397	—	43	1	no	—
777	#397	—	43	1	no	—
778	#397	—	43	1	no	—
779	#397	—	43	1	no	—
780	#397	—	43	1	no	—
781	#397	—	43	1	no	—
782	#397	—	43	1	no	—
783	#397	—	43	1	no	—
784	#397	—	43	1	no	—
785	#397	—	43	1	no	—
786	#396	—	43	1	no	—
787	#396	—	43	1	no	—
788	#396	—	43	1	no	—
789	#396	—	43	1	no	—
790	#396	—	43	1	no	—
791	#396	—	43	1	no	—
792	#396	—	43	1	no	—
793	#395	—	43	1	no	—
794	#395	—	43	1	no	—
795	#394	—	43	1	no	—
796	#394	—	43	1	no	—
797	#394	—	43	1	no	—
798	#394	—	43	1	no	—
799	#394	—	43	1	no	—
800	#394	—	43	1	no	—
801	#394	—	43	1	no	—
802	#394	—	43	1	no	—
803	#394	—	43	1	no	—
804	#393	—	43	1	no	—
805	#393	—	43	1	no	—
806	#392	—	43	1	no	—
807	#391	—	43	1	no	—
808	#389	—	43	1	no	—
809	#389	—	43	1	no	—
810	#389	—	43	1	no	—
811	#389	—	43	1	no	—
812	#389	—	43	1	no	—
813	#389	—	43	1	no	—
814	#389	C₂×D₄₃	1	1	yes	characteristic
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	#387	—	43	1	no	—
823	#387	—	43	1	no	—
824	#387	—	43	1	no	—
825	#387	—	43	1	no	—
826	#387	—	43	1	no	—
827	#387	—	43	1	no	—
828	#387	—	43	1	no	—
829	#387	—	43	1	no	—
830	#387	C₂×D₄₃	1	1	yes	characteristic
831	#387	C₂×D₄₃	1	1	yes	characteristic
832	#387	C₂×D₄₃	1	1	yes	characteristic
833	#387	C₂×D₄₃	1	1	yes	characteristic
834	#387	C₂×D₄₃	1	1	yes	characteristic
835	#386	—	43	1	no	—
836	#386	—	43	1	no	—
837	#386	—	43	1	no	—
838	#385	—	43	1	no	—
839	#385	—	43	1	no	—
840	#385	—	43	1	no	—
841	#385	—	43	1	no	—
842	#385	—	43	1	no	—
843	#385	—	43	1	no	—
844	#385	—	43	1	no	—
845	#385	—	43	1	no	—
846	#385	—	43	1	no	—
847	#383	—	43	1	no	—
848	#382	—	43	1	no	—
849	#381	—	43	1	no	—
850	#380	—	43	1	no	—
851	C₄×C₄⋊C₄	—	43	1	no	—
852	C₄×C₄⋊C₄	—	43	1	no	—
853	C₄×C₄⋊C₄	—	43	1	no	—
854	C₄×C₄⋊C₄	—	43	1	no	—
855	C₄×C₄⋊C₄	—	43	1	no	—
856	C₄×C₄⋊C₄	—	43	1	no	—
857	C₄×C₄⋊C₄	—	43	1	no	—
858	C₄×C₄⋊C₄	—	43	1	no	—
859	C₄×C₄⋊C₄	—	43	1	no	—
860	C₄×C₄⋊C₄	—	43	1	no	—
861	C₄×C₄⋊C₄	—	43	1	no	—
862	C₄×C₄⋊C₄	—	43	1	no	—
863	C₄×C₄⋊C₄	—	43	1	no	—
864	C₄×C₄⋊C₄	—	43	1	no	—
865	C₄×C₄⋊C₄	—	43	1	no	—
866	C₄×C₄⋊C₄	C₂×D₄₃	1	1	yes	characteristic
867	C₄×C₂²⋊C₄	—	43	1	no	—
868	C₄×C₂²⋊C₄	—	43	1	no	—
869	C₄×C₂²⋊C₄	—	43	1	no	—
870	C₄×C₂²⋊C₄	—	43	1	no	—
871	C₄×C₂²⋊C₄	—	43	1	no	—
872	C₄×C₂²⋊C₄	—	43	1	no	—
873	C₄×C₂²⋊C₄	—	43	1	no	—
874	C₄×C₂²⋊C₄	—	43	1	no	—
875	C₄×C₂²⋊C₄	—	43	1	no	—
876	C₄×C₂²⋊C₄	—	43	1	no	—
877	C₄×C₂²⋊C₄	—	43	1	no	—
878	C₄×C₂²⋊C₄	—	43	1	no	—
879	C₄×C₂²⋊C₄	—	43	1	no	—
880	C₄×C₂²⋊C₄	—	43	1	no	—
881	#376	—	43	1	no	—
882	C₄³	—	43	1	no	—
883	C₄₃	#34592	1	1	yes	characteristic, complemented, Sylow
884	C₂²×Q₈	—	43	1	no	—
885	C₂²×D₄	—	43	1	no	—
886	C₂²×D₄	—	43	1	no	—
887	C₂²×D₄	—	43	1	no	—
888	C₂³×C₄	—	43	1	no	—
889	C₂³×C₄	—	43	1	no	—
890	C₂³×C₄	—	43	1	no	—
891	C₂³×C₄	—	43	1	no	—
892	C₂³×C₄	—	43	1	no	—
893	C₂³×C₄	—	43	1	no	—
894	C₂³×C₄	—	43	1	no	—
895	#126	—	86	4	no	—
896	#125	—	86	4	no	—
897	#123	—	86	4	no	—
898	C₂²⋊Q₈	—	86	4	no	—
899	C₄×Q₈	—	172	2	no	—
900	C₄×D₄	—	86	4	no	—
901	C₄×D₄	—	86	4	no	—
902	C₄×D₄	—	86	4	no	—
903	C₄×D₄	—	86	4	no	—
904	C₄×D₄	—	172	2	no	—
905	#117	—	86	4	no	—
906	#117	—	172	2	no	—
907	#117	—	172	2	no	—
908	C₂×C₄⋊C₄	—	43	1	no	—
909	C₂×C₄⋊C₄	—	43	1	no	—
910	C₂×C₄⋊C₄	—	43	1	no	—
911	C₂×C₄⋊C₄	—	43	1	no	—
912	C₂×C₄⋊C₄	—	43	1	no	—
913	C₂×C₄⋊C₄	—	43	1	no	—
914	C₂×C₄⋊C₄	—	43	1	no	—
915	C₂×C₄⋊C₄	—	43	1	no	—
916	C₂×C₄⋊C₄	—	43	1	no	—
917	C₂×C₄⋊C₄	—	43	1	no	—
918	C₂×C₄⋊C₄	—	43	1	no	—
919	C₂×C₄⋊C₄	—	43	1	no	—
920	C₂×C₄⋊C₄	—	43	1	no	—
921	C₂×C₄⋊C₄	—	43	1	no	—
922	C₂×C₄⋊C₄	—	43	1	no	—
923	C₂×C₄⋊C₄	—	43	1	no	—
924	C₂×C₄⋊C₄	—	43	1	no	—
925	C₂×C₄⋊C₄	—	43	1	no	—
926	C₂×C₄⋊C₄	—	43	1	no	—
927	C₂×C₄⋊C₄	—	43	1	no	—
928	C₂×C₄⋊C₄	—	43	1	no	—
929	C₂×C₄⋊C₄	—	43	1	no	—
930	C₂×C₄⋊C₄	—	43	1	no	—
931	C₂×C₄⋊C₄	—	43	1	no	—
932	C₂×C₄⋊C₄	—	43	1	no	—
933	C₂×C₄⋊C₄	—	43	1	no	—
934	C₂×C₄⋊C₄	—	43	1	no	—
935	C₂×C₄⋊C₄	—	43	1	no	—
936	C₂×C₄⋊C₄	C₂²×D₄₃	1	1	yes	characteristic
937	C₂×C₄⋊C₄	C₂²×D₄₃	1	1	yes	characteristic
938	C₂×C₄⋊C₄	C₂²×D₄₃	1	1	yes	characteristic
939	C₂×C₄⋊C₄	C₂²×D₄₃	1	1	yes	characteristic
940	C₂×C₄⋊C₄	C₂²×D₄₃	1	1	yes	characteristic
941	C₂×C₄⋊C₄	C₂²×D₄₃	1	1	yes	characteristic
942	C₂×C₄⋊C₄	C₂²×D₄₃	1	1	yes	characteristic
943	C₂×C₄⋊C₄	C₂²×D₄₃	1	1	yes	characteristic
944	C₂×C₄⋊C₄	C₂²×D₄₃	1	1	yes	characteristic
945	C₂×C₄⋊C₄	C₂²×D₄₃	1	1	yes	characteristic
946	C₂×C₄⋊C₄	C₂²×D₄₃	1	1	yes	characteristic
947	C₂×C₄⋊C₄	C₂²×D₄₃	1	1	yes	characteristic
948	C₂×C₂²⋊C₄	—	43	1	no	—
949	C₂×C₂²⋊C₄	—	43	1	no	—
950	C₂×C₂²⋊C₄	—	43	1	no	—
951	C₂×C₂²⋊C₄	—	43	1	no	—
952	C₂×C₂²⋊C₄	—	43	1	no	—
953	C₂×C₂²⋊C₄	—	43	1	no	—
954	C₂×C₂²⋊C₄	—	43	1	no	—
955	C₂×C₂²⋊C₄	—	43	1	no	—
956	C₂×C₂²⋊C₄	—	43	1	no	—
957	C₂×C₂²⋊C₄	—	43	1	no	—
958	C₂×C₂²⋊C₄	—	43	1	no	—
959	C₂×C₂²⋊C₄	—	43	1	no	—
960	C₂×C₂²⋊C₄	—	43	1	no	—
961	C₂×C₂²⋊C₄	—	43	1	no	—
962	C₂×C₂²⋊C₄	—	43	1	no	—
963	C₂×C₂²⋊C₄	—	43	1	no	—
964	C₂×C₂²⋊C₄	—	43	1	no	—
965	C₂×C₂²⋊C₄	—	43	1	no	—
966	C₂×C₂²⋊C₄	—	43	1	no	—
967	C₂×C₂²⋊C₄	—	43	1	no	—
968	C₂×C₂²⋊C₄	—	43	1	no	—
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×C₄²	—	43	1	no	—
981	C₂×C₄²	—	43	1	no	—
982	C₂×C₄²	—	43	1	no	—
983	C₂×C₄²	—	43	1	no	—
984	C₂×C₄²	—	43	1	no	—
985	C₂×C₄²	—	43	1	no	—
986	C₂×C₄²	—	43	1	no	—
987	C₂×C₄²	—	43	1	no	—
988	C₂×C₄²	—	43	1	no	—
989	C₂×C₄²	—	43	1	no	—
990	C₂×C₄²	—	43	1	no	—
991	C₂×C₄²	—	43	1	no	—
992	C₂×C₄²	—	43	1	no	—
993	C₂×C₄²	—	43	1	no	—
994	C₂×C₄²	—	43	1	no	—
995	C₂×C₄²	—	43	1	no	—
996	C₂×C₄²	—	43	1	no	—
997	C₂×C₄²	—	172	2	no	—
998	C₂×C₄²	—	172	2	no	—
999	C₂×C₄²	C₂²×D₄₃	1	1	yes	characteristic
1000	C₂×C₄²	C₂²×D₄₃	1	1	yes	characteristic
1001	C₂×C₄²	C₂²×D₄₃	1	1	yes	characteristic
1002	#95	—	43	1	no	—
1003	#95	—	43	1	no	—
1004	#95	—	43	1	no	—
1005	#95	—	43	1	no	—
1006	#95	—	43	1	no	—
1007	#95	—	43	1	no	—
1008	#95	—	43	1	no	—
1009	#95	—	43	1	no	—
1010	#95	—	43	1	no	—
1011	#95	—	43	1	no	—
1012	#95	—	43	1	no	—
1013	#95	—	43	1	no	—
1014	#95	—	43	1	no	—
1015	#95	—	43	1	no	—
1016	#95	—	43	1	no	—
1017	#95	—	43	1	no	—
1018	#95	—	43	1	no	—
1019	#95	—	43	1	no	—
1020	#95	—	43	1	no	—
1021	#95	—	43	1	no	—
1022	#95	—	43	1	no	—
1023	#95	—	43	1	no	—
1024	#95	—	43	1	no	—
1025	#95	—	43	1	no	—
1026	#95	—	43	1	no	—
1027	#95	—	43	1	no	—
1028	#95	—	43	1	no	—
1029	#95	—	43	1	no	—
1030	#95	—	43	1	no	—
1031	#95	—	43	1	no	—
1032	#95	—	43	1	no	—
1033	#95	—	43	1	no	—
1034	#95	C₂²×D₄₃	1	1	yes	characteristic
1035	#95	C₂²×D₄₃	1	1	yes	characteristic
1036	#95	C₂²×D₄₃	1	1	yes	characteristic
1037	#95	C₂²×D₄₃	1	1	yes	characteristic
1038	#95	C₂²×D₄₃	1	1	yes	characteristic
1039	#95	C₂²×D₄₃	1	1	yes	characteristic
1040	#95	C₂²×D₄₃	1	1	yes	characteristic
1041	#95	C₂²×D₄₃	1	1	yes	characteristic
1042	#95	C₂²×D₄₃	1	1	yes	characteristic
1043	#95	C₂²×D₄₃	1	1	yes	characteristic
1044	#95	C₂²×D₄₃	1	1	yes	characteristic
1045	#95	C₂²×D₄₃	1	1	yes	characteristic
1046	#95	C₂²×D₄₃	1	1	yes	characteristic
1047	#95	C₂²×D₄₃	1	1	yes	characteristic
1048	#95	C₂²×D₄₃	1	1	yes	characteristic
1049	#95	C₂²×D₄₃	1	1	yes	characteristic
1050	#95	C₂²×D₄₃	1	1	yes	characteristic
1051	#95	C₂²×D₄₃	1	1	yes	characteristic
1052	#95	C₂²×D₄₃	1	1	yes	characteristic
1053	#95	C₂²×D₄₃	1	1	yes	characteristic
1054	C₂⁴	—	43	1	no	—
1055	C₂⁴	—	43	1	no	—
1056	C₂⁴	—	43	1	no	—
1057	C₂×Q₈	—	86	2	no	—
1058	C₂×Q₈	—	172	1	no	—
1059	C₂×Q₈	—	172	1	no	—
1060	C₂×D₄	—	86	2	no	—
1061	C₂×D₄	—	86	2	no	—
1062	C₂×D₄	—	86	2	no	—
1063	C₂×D₄	—	86	2	no	—
1064	C₂×D₄	—	86	2	no	—
1065	C₂×D₄	—	172	1	no	—
1066	C₂×D₄	—	172	1	no	—
1067	C₂×D₄	—	172	1	no	—
1068	C₂×D₄	—	172	1	no	—
1069	C₂²×C₄	—	43	1	no	—
1070	C₂²×C₄	—	43	1	no	—
1071	C₂²×C₄	—	43	1	no	—
1072	C₂²×C₄	—	43	1	no	—
1073	C₂²×C₄	—	43	4	no	—
1074	C₂²×C₄	—	43	4	no	—
1075	C₂²×C₄	—	43	1	no	—
1076	C₂²×C₄	—	43	1	no	—
1077	C₂²×C₄	—	43	1	no	—
1078	C₂²×C₄	—	43	1	no	—
1079	C₂²×C₄	—	43	1	no	—
1080	C₂²×C₄	—	43	1	no	—
1081	C₂²×C₄	—	43	1	no	—
1082	C₂²×C₄	—	43	1	no	—
1083	C₂²×C₄	—	43	1	no	—
1084	C₂²×C₄	—	86	2	no	—
1085	C₂²×C₄	—	86	2	no	—
1086	C₂²×C₄	—	86	2	no	—
1087	C₂²×C₄	—	86	2	no	—
1088	C₂²×C₄	—	86	2	no	—
1089	C₂²×C₄	—	86	2	no	—
1090	C₂²×C₄	—	86	2	no	—
1091	C₂²×C₄	—	86	2	no	—
1092	C₂²×C₄	—	86	2	no	—
1093	C₂²×C₄	—	86	2	no	—
1094	C₂²×C₄	—	86	2	no	—
1095	C₂²×C₄	—	172	1	no	—
1096	C₂²×C₄	—	172	1	no	—
1097	C₂²×C₄	—	172	1	no	—
1098	C₂²×C₄	—	172	1	no	—
1099	C₂²×C₄	—	172	1	no	—
1100	C₂²×C₄	—	172	1	no	—
1101	C₂²×C₄	—	172	1	no	—
1102	C₂²×C₄	—	172	1	no	—
1103	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
1104	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
1105	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
1106	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
1107	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
1108	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
1109	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
1110	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
1111	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
1112	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
1113	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
1114	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
1115	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
1116	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
1117	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
1118	C₄⋊C₄	—	2	2	no	—
1119	C₄⋊C₄	—	2	2	no	—
1120	C₄⋊C₄	—	2	2	no	—
1121	C₄⋊C₄	—	2	2	no	—
1122	C₄⋊C₄	—	2	2	no	—
1123	C₄⋊C₄	—	2	2	no	—
1124	C₄⋊C₄	—	2	2	no	—
1125	C₄⋊C₄	—	2	2	no	—
1126	C₄⋊C₄	—	4	1	no	—
1127	C₄⋊C₄	—	4	1	no	—
1128	C₄⋊C₄	—	4	1	no	—
1129	C₄⋊C₄	—	4	1	no	—
1130	C₄⋊C₄	—	86	2	no	—
1131	C₄⋊C₄	—	86	2	no	—
1132	C₄⋊C₄	—	86	2	no	—
1133	C₄⋊C₄	—	86	2	no	—
1134	C₄⋊C₄	—	86	2	no	—
1135	C₄⋊C₄	—	86	2	no	—
1136	C₄⋊C₄	—	86	2	no	—
1137	C₄⋊C₄	—	86	2	no	—
1138	C₄⋊C₄	—	86	2	no	—
1139	C₄⋊C₄	—	86	2	no	—
1140	C₄⋊C₄	—	86	2	no	—
1141	C₄⋊C₄	—	86	2	no	—
1142	C₄⋊C₄	—	172	1	no	—
1143	C₄⋊C₄	—	172	1	no	—
1144	C₄⋊C₄	—	172	1	no	—
1145	C₄⋊C₄	—	172	1	no	—
1146	C₄⋊C₄	—	172	1	no	—
1147	C₄⋊C₄	—	172	1	no	—
1148	C₄⋊C₄	—	172	1	no	—
1149	C₄⋊C₄	—	172	1	no	—
1150	C₄⋊C₄	—	172	1	no	—
1151	C₄⋊C₄	—	172	1	no	—
1152	C₄⋊C₄	—	172	1	no	—
1153	C₄⋊C₄	—	172	1	no	—
1154	C₄⋊C₄	—	172	1	no	—
1155	C₄⋊C₄	—	172	1	no	—
1156	C₄⋊C₄	—	172	1	no	—
1157	C₄⋊C₄	—	172	1	no	—
1158	C₂²⋊C₄	—	86	2	no	—
1159	C₂²⋊C₄	—	86	2	no	—
1160	C₂²⋊C₄	—	86	2	no	—
1161	C₂²⋊C₄	—	86	2	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	—	86	2	no	—
1171	C₂²⋊C₄	—	86	2	no	—
1172	C₂²⋊C₄	—	86	2	no	—
1173	C₂²⋊C₄	—	86	2	no	—
1174	C₂²⋊C₄	—	86	2	no	—
1175	C₂²⋊C₄	—	86	2	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	1	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	—	172	1	no	—
1187	C₂²⋊C₄	—	172	1	no	—
1188	C₂²⋊C₄	—	172	1	no	—
1189	C₂²⋊C₄	—	172	1	no	—
1190	C₄²	—	2	2	no	—
1191	C₄²	—	4	1	no	—
1192	C₄²	—	4	1	no	—
1193	C₄²	—	43	4	no	—
1194	C₄²	—	86	2	no	—
1195	C₄²	—	86	2	no	—
1196	C₄²	—	86	2	no	—
1197	C₄²	—	86	2	no	—
1198	C₄²	—	86	2	no	—
1199	C₄²	—	86	2	no	—
1200	C₄²	—	86	2	no	—
1201	C₄²	—	86	2	no	—
1202	C₄²	—	86	2	no	—
1203	C₄²	—	86	2	no	—
1204	C₄²	—	86	2	no	—
1205	C₄²	—	86	2	no	—
1206	C₄²	—	172	1	no	—
1207	C₄²	—	172	1	no	—
1208	C₄²	—	172	1	no	—
1209	C₄²	—	172	1	no	—
1210	C₂³	—	43	2	no	—
1211	C₂³	—	43	2	no	—
1212	C₂³	—	86	1	no	—
1213	C₂³	—	86	1	no	—
1214	C₂³	—	86	1	no	—
1215	C₂³	—	86	1	no	—
1216	C₂³	—	86	1	no	—
1217	C₂³	—	86	1	no	—
1218	C₂³	—	86	1	no	—
1219	C₂³	—	86	1	no	—
1220	C₂³	—	86	1	no	—
1221	C₂³	—	86	1	no	—
1222	C₂³	—	86	1	no	—
1223	C₂³	—	86	1	no	—
1224	C₂³	—	86	1	no	—
1225	C₂³	—	86	1	no	—
1226	C₂³	—	86	1	no	—
1227	C₂³	—	86	1	no	—
1228	C₂³	—	86	1	no	—
1229	C₂³	—	86	1	no	—
1230	C₂³	—	86	1	no	—
1231	C₂³	C₂⁴×D₄₃	1	1	yes	characteristic
1232	Q₈	—	172	4	no	—
1233	D₄	—	86	8	no	—
1234	D₄	—	172	4	no	—
1235	D₄	—	172	4	no	—
1236	C₂×C₄	—	2	1	no	—
1237	C₂×C₄	—	2	1	no	—
1238	C₂×C₄	—	2	1	no	—
1239	C₂×C₄	—	2	1	no	—
1240	C₂×C₄	—	2	1	no	—
1241	C₂×C₄	—	2	1	no	—
1242	C₂×C₄	—	2	1	no	—
1243	C₂×C₄	—	2	1	no	—
1244	C₂×C₄	—	2	1	no	—
1245	C₂×C₄	—	2	1	no	—
1246	C₂×C₄	—	2	1	no	—
1247	C₂×C₄	—	2	1	no	—
1248	C₂×C₄	—	2	1	no	—
1249	C₂×C₄	—	2	1	no	—
1250	C₂×C₄	—	2	1	no	—
1251	C₂×C₄	—	2	1	no	—
1252	C₂×C₄	—	2	1	no	—
1253	C₂×C₄	—	2	1	no	—
1254	C₂×C₄	—	2	1	no	—
1255	C₂×C₄	—	2	1	no	—
1256	C₂×C₄	—	2	1	no	—
1257	C₂×C₄	—	2	1	no	—
1258	C₂×C₄	—	2	1	no	—
1259	C₂×C₄	—	2	1	no	—
1260	C₂×C₄	—	2	1	no	—
1261	C₂×C₄	—	2	1	no	—
1262	C₂×C₄	—	2	1	no	—
1263	C₂×C₄	—	2	1	no	—
1264	C₂×C₄	—	2	1	no	—
1265	C₂×C₄	—	2	1	no	—
1266	C₂×C₄	—	2	1	no	—
1267	C₂×C₄	—	2	1	no	—
1268	C₂×C₄	—	2	1	no	—
1269	C₂×C₄	—	2	1	no	—
1270	C₂×C₄	—	2	1	no	—
1271	C₂×C₄	—	2	1	no	—
1272	C₂×C₄	—	2	1	no	—
1273	C₂×C₄	—	2	1	no	—
1274	C₂×C₄	—	2	1	no	—
1275	C₂×C₄	—	2	1	no	—
1276	C₂×C₄	—	2	1	no	—
1277	C₂×C₄	—	2	1	no	—
1278	C₂×C₄	—	43	2	no	—
1279	C₂×C₄	—	43	2	no	—
1280	C₂×C₄	—	43	2	no	—
1281	C₂×C₄	—	43	2	no	—
1282	C₂×C₄	—	43	2	no	—
1283	C₂×C₄	—	43	2	no	—
1284	C₂×C₄	—	86	8	no	—
1285	C₂×C₄	—	86	1	no	—
1286	C₂×C₄	—	86	1	no	—
1287	C₂×C₄	—	86	1	no	—
1288	C₂×C₄	—	86	1	no	—
1289	C₂×C₄	—	86	1	no	—
1290	C₂×C₄	—	86	1	no	—
1291	C₂×C₄	—	86	1	no	—
1292	C₂×C₄	—	86	1	no	—
1293	C₂×C₄	—	86	1	no	—
1294	C₂×C₄	—	86	1	no	—
1295	C₂×C₄	—	86	1	no	—
1296	C₂×C₄	—	86	1	no	—
1297	C₂×C₄	—	86	1	no	—
1298	C₂×C₄	—	86	1	no	—
1299	C₂×C₄	—	86	1	no	—
1300	C₂×C₄	—	86	1	no	—
1301	C₂×C₄	—	86	1	no	—
1302	C₂×C₄	—	86	1	no	—
1303	C₂×C₄	—	86	1	no	—
1304	C₂×C₄	—	86	1	no	—
1305	C₂×C₄	—	86	1	no	—
1306	C₂×C₄	—	86	1	no	—
1307	C₂×C₄	—	86	1	no	—
1308	C₂×C₄	—	86	1	no	—
1309	C₂×C₄	—	86	1	no	—
1310	C₂×C₄	—	86	1	no	—
1311	C₂×C₄	—	86	1	no	—
1312	C₂×C₄	—	86	1	no	—
1313	C₂×C₄	—	86	1	no	—
1314	C₂×C₄	—	86	1	no	—
1315	C₂×C₄	—	86	1	no	—
1316	C₂×C₄	—	86	1	no	—
1317	C₂×C₄	—	86	1	no	—
1318	C₂×C₄	—	172	4	no	—
1319	C₂×C₄	—	172	4	no	—
1320	C₂×C₄	—	172	4	no	—
1321	C₂×C₄	—	172	4	no	—
1322	C₂×C₄	—	172	4	no	—
1323	C₂×C₄	—	172	4	no	—
1324	C₂×C₄	#41×D₄₃	1	2	yes	—
1325	C₂×C₄	#41×D₄₃	1	2	yes	—
1326	C₂×C₄	#41×D₄₃	1	2	yes	—
1327	C₂²	—	86	2	no	—
1328	C₂²	—	86	2	no	—
1329	C₂²	—	86	2	no	—
1330	C₂²	—	86	2	no	—
1331	C₂²	—	86	2	no	—
1332	C₂²	—	86	2	no	—
1333	C₂²	—	172	1	no	—
1334	C₂²	—	172	1	no	—
1335	C₂²	—	172	1	no	—
1336	C₂²	—	172	1	no	—
1337	C₂²	—	172	1	no	—
1338	C₂²	—	172	1	no	—
1339	C₂²	—	172	1	no	—
1340	C₂²	—	172	1	no	—
1341	C₂²	—	172	1	no	—
1342	C₂²	—	172	1	no	—
1343	C₂²	—	172	1	no	—
1344	C₂²	—	172	1	no	—
1345	C₂²	—	172	1	no	—
1346	C₂²	—	172	1	no	—
1347	C₂²	—	172	1	no	—
1348	C₂²	C₂×#41×D₄₃	1	1	yes	characteristic
1349	C₂²	C₂×#41×D₄₃	1	1	yes	characteristic
1350	C₂²	C₂×#41×D₄₃	1	1	yes	characteristic
1351	C₂²	H(5,𝔽₂)×D₄₃	1	1	yes	characteristic
1352	C₂²	2₋¹⁺⁴×D₄₃	1	1	yes	characteristic
1353	C₂²	#14583736	1	1	yes	characteristic
1354	C₂²	#14583736	1	1	yes	characteristic
1355	C₄	—	2	2	no	—
1356	C₄	—	2	2	no	—
1357	C₄	—	2	2	no	—
1358	C₄	—	4	1	no	—
1359	C₄	—	4	1	no	—
1360	C₄	—	4	1	no	—
1361	C₄	—	4	1	no	—
1362	C₄	—	4	1	no	—
1363	C₄	—	4	1	no	—
1364	C₄	—	4	1	no	—
1365	C₄	—	4	1	no	—
1366	C₄	—	4	1	no	—
1367	C₄	—	4	1	no	—
1368	C₄	—	4	1	no	—
1369	C₄	—	4	1	no	—
1370	C₄	—	43	4	no	—
1371	C₄	—	86	2	no	—
1372	C₄	—	86	2	no	—
1373	C₄	—	86	2	no	—
1374	C₄	—	172	1	no	—
1375	C₄	—	172	1	no	—
1376	C₄	—	172	1	no	—
1377	C₄	—	172	1	no	—
1378	C₄	—	172	1	no	—
1379	C₄	—	172	1	no	—
1380	C₄	—	172	1	no	—
1381	C₄	—	172	1	no	—
1382	C₄	—	172	1	no	—
1383	C₂	—	344	1	no	—
1384	C₂	—	172	2	no	—
1385	C₂	—	172	2	no	—
1386	C₂	#19147889	1	1	yes	characteristic
1387	C₂	#539×D₄₃	1	1	yes	characteristic
1388	C₂	#19147986	1	1	yes	characteristic
1389	C₂	#19148003	1	1	yes	characteristic
1390	C₂	#19148015	1	1	yes	characteristic
1391	C₂	#19148027	1	1	yes	characteristic
1392	C₂	#19148027	1	1	yes	characteristic

	subgroup	G/H
center, Frattini	C₂³	C₂⁴×D₄₃
commutator, socle, cosocle	C₂³×C₄₃	C₂⁵
Fitting	C₄₃×#2655	C₂
prime radical	#14582809	C₂²
hypercenter	#2655	D₄₃
hypocenter	C₄₃	#34592
LCS	G ▷ C₂³×C₄₃ ▷ C₄₃
UCS	C₁ ◁ C₂³ ◁ #2655

Complements

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

N	H ≅ G/N	type
1. #19140795	C₂	semidirect
2. #19140779	C₂	semidirect
3. #19140753	C₂	semidirect
4. #19140749	C₂	semidirect
5. #19140667	C₂	semidirect
6. #19140663	C₂	semidirect
7. #19140650	C₂	semidirect
8. #19140640	C₂	semidirect
9. #19140639	C₂	semidirect
10. #19140597	C₂	semidirect
11. #19140596	C₂	semidirect
12. #19140519	C₂	semidirect
14. #19140465	C₂	semidirect
16. #19137901	C₂	semidirect
17. #19137898	C₂	semidirect
18. #19137872	C₂	semidirect
19. #19137868	C₂	semidirect
20. #19137861	C₂	semidirect
21. #19137861	C₂	semidirect
22. #19137859	C₂	semidirect
24. #19137152	C₂	semidirect
25. #19137145	C₂	semidirect
26. #19137129	C₂	semidirect
27. #19137116	C₂	semidirect
28. #19137076	C₂	semidirect
29. #19137033	C₂	semidirect
30. C₄×#13063287	C₂	semidirect
31. C₄₃×#2655	C₂	semidirect
691. #2655	D₄₃	semidirect
883. C₄₃	#34592	semidirect

Maximal subgroups

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

subgroup	index
#19140795	2
#19140779	2
#19140753	2
#19140749	2
#19140667	2
#19140663	2
#19140650	2
#19140640	2
#19140639	2
#19140597	2
#19140596	2
#19140519	2
#19140495	2
#19140465	2
#19140444	2
#19137901	2
#19137898	2
#19137872	2
#19137868	2
#19137861	2
#19137859	2
#19137836	2
#19137152	2
#19137145	2
#19137129	2
#19137116	2
#19137076	2
#19137033	2
C₄×#13063287	2
C₄₃×#2655	2
#34592	43