Subgroups — #25304410

Order 11008.

1496 conjugacy classes of subgroups.

The subgroup lattice has 1330 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#19142930	C₂	1	1	yes	maximal, characteristic, complemented
2	#19142902	C₂	1	1	yes	maximal, characteristic, complemented
3	#19142568	C₂	1	1	yes	maximal, characteristic, complemented
4	#19142506	C₂	1	1	yes	maximal, characteristic, complemented
5	#19142379	C₂	1	1	yes	maximal, characteristic, complemented
6	#19142364	C₂	1	1	yes	maximal, characteristic, complemented
7	#19142359	C₂	1	1	yes	maximal, characteristic, complemented
8	#19142239	C₂	1	1	yes	maximal, characteristic
9	#19142238	C₂	1	1	yes	maximal, characteristic
10	#19142074	C₂	1	1	yes	maximal, characteristic, complemented
11	#19142073	C₂	1	1	yes	maximal, characteristic, complemented
12	#19142070	C₂	1	1	yes	maximal, characteristic, complemented
13	#19141909	C₂	1	1	yes	maximal, characteristic, complemented
14	#19141805	C₂	1	1	yes	maximal, characteristic
15	#19141614	C₂	1	1	yes	maximal, characteristic
16	#19141543	C₂	1	1	yes	maximal, characteristic, complemented
17	#19141468	C₂	1	1	yes	maximal, characteristic, complemented
18	#19141253	C₂	1	1	yes	maximal, characteristic, complemented
19	#19140795	C₂	1	1	yes	maximal, characteristic, complemented
20	#19140795	C₂	1	1	yes	maximal, characteristic, complemented
21	#19140305	C₂	1	1	yes	maximal, characteristic, complemented
22	#19140262	C₂	1	1	yes	maximal, characteristic, complemented
23	#19140254	C₂	1	1	yes	maximal, characteristic, complemented
24	#19140251	C₂	1	1	yes	maximal, characteristic, complemented
25	#19139828	C₂	1	1	yes	maximal, characteristic, complemented
26	#19138309	C₂	1	1	yes	maximal, characteristic, complemented
27	#19138271	C₂	1	1	yes	maximal, characteristic, complemented
28	#19137237	C₂	1	1	yes	maximal, characteristic
29	#19137229	C₂	1	1	yes	maximal, characteristic
30	#19137041	C₂	1	1	yes	maximal, characteristic
31	C₄₃×#2569	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂×#13063316	C₂²	1	1	yes	characteristic
33	C₂×#13063315	C₂²	1	1	yes	characteristic
34	C₂×#13063304	C₂²	1	1	yes	characteristic
35	C₂×#13063303	C₂²	1	1	yes	characteristic
36	C₂×C₄×C₂²⋊D₄₃	C₂²	1	1	yes	characteristic
37	C₂×#13063284	C₂²	1	1	yes	characteristic
38	C₂×C₄²×D₄₃	C₂²	1	1	yes	characteristic
39	#14582841	C₂²	1	1	yes	characteristic
40	#14582840	C₂²	1	1	yes	characteristic
41	#14582840	C₂²	1	1	yes	characteristic
42	#14582840	C₂²	1	1	yes	characteristic
43	#14582836	C₂²	1	1	yes	characteristic
44	#14582836	C₂²	1	1	yes	characteristic
45	#14582835	C₂²	1	1	yes	characteristic
46	#14582835	C₂²	1	1	yes	characteristic
47	#14582834	C₂²	1	1	yes	characteristic
48	#14582834	C₂²	1	1	yes	characteristic
49	#14582833	C₂²	1	1	yes	characteristic
50	#14582833	C₂²	1	1	yes	characteristic
51	#14582833	C₂²	1	1	yes	characteristic
52	#14582833	C₂²	1	1	yes	characteristic
53	#14582833	C₂²	1	1	yes	characteristic
54	#14582833	C₂²	1	1	yes	characteristic
55	#14582833	C₂²	1	1	yes	characteristic
56	#14582833	C₂²	1	1	yes	characteristic
57	#14582833	C₂²	1	1	yes	characteristic
58	#14582832	C₂²	1	1	yes	characteristic
59	#14582832	C₂²	1	1	yes	characteristic
60	#14582832	C₂²	1	1	yes	characteristic
61	#14582832	C₂²	1	1	yes	characteristic
62	#14582831	C₂²	1	1	yes	characteristic
63	#14582830	C₂²	1	1	yes	characteristic
64	#14582830	C₂²	1	1	yes	characteristic
65	#14582830	C₂²	1	1	yes	characteristic
66	#14582829	C₂²	1	1	yes	characteristic
67	#14582829	C₂²	1	1	yes	characteristic
68	#14582829	C₂²	1	1	yes	characteristic
69	#14582829	C₂²	1	1	yes	characteristic
70	#14582829	C₂²	1	1	yes	characteristic
71	#14582823	C₂²	1	1	yes	characteristic
72	#14582823	C₂²	1	1	yes	characteristic
73	#14582822	C₂²	1	1	yes	characteristic
74	#14582822	C₂²	1	1	yes	characteristic
75	#14582822	C₂²	1	1	yes	characteristic
76	#14582822	C₂²	1	1	yes	characteristic
77	#14582822	C₂²	1	1	yes	characteristic
78	#14582822	C₂²	1	1	yes	characteristic
79	#14582821	C₂²	1	1	yes	characteristic
80	#14582821	C₂²	1	1	yes	characteristic
81	#14582820	C₂²	1	1	yes	characteristic
82	#14582820	C₂²	1	1	yes	characteristic
83	#14582803	C₂²	1	1	yes	characteristic
84	#14582803	C₂²	1	1	yes	characteristic
85	#14582803	C₂²	1	1	yes	characteristic
86	#14582799	C₂²	1	1	yes	characteristic
87	#14582799	C₂²	1	1	yes	characteristic
88	#14582798	C₂²	1	1	yes	characteristic
89	#14582798	C₂²	1	1	yes	characteristic
90	#14582797	C₂²	1	1	yes	characteristic
91	#14582797	C₂²	1	1	yes	characteristic
92	#14582796	C₂²	1	1	yes	characteristic
93	#14582796	C₂²	1	1	yes	characteristic
94	#14582796	C₂²	1	1	yes	characteristic
95	#14582796	C₂²	1	1	yes	characteristic
96	#14582796	C₂²	1	1	yes	characteristic
97	#14582796	C₂²	1	1	yes	characteristic
98	#14582796	C₂²	1	1	yes	characteristic
99	#14582795	C₂²	1	1	yes	characteristic
100	#14582795	C₂²	1	1	yes	characteristic
101	#14582795	C₂²	1	1	yes	characteristic
102	#14582794	C₂²	1	1	yes	characteristic
103	#14582794	C₂²	1	1	yes	characteristic
104	#14582794	C₂²	1	1	yes	characteristic
105	#14582794	C₂²	1	1	yes	characteristic
106	#14582794	C₂²	1	1	yes	characteristic
107	#14582794	C₂²	1	1	yes	characteristic
108	#14582794	C₂²	1	1	yes	characteristic
109	#14582793	C₂²	1	1	yes	characteristic
110	#14582793	C₂²	1	1	yes	characteristic
111	#14582789	C₂²	1	1	yes	characteristic
112	#14582789	C₂²	1	1	yes	characteristic
113	#14582788	C₂²	1	1	yes	characteristic
114	#14582788	C₂²	1	1	yes	characteristic
115	#14582787	C₂²	1	1	yes	characteristic
116	#14582787	C₂²	1	1	yes	characteristic
117	#14582786	C₂²	1	1	yes	characteristic
118	#14582786	C₂²	1	1	yes	characteristic
119	#14582786	C₂²	1	1	yes	characteristic
120	#14582786	C₂²	1	1	yes	characteristic
121	#14582786	C₂²	1	1	yes	characteristic
122	#14582786	C₂²	1	1	yes	characteristic
123	#14582786	C₂²	1	1	yes	characteristic
124	#14582785	C₂²	1	1	yes	characteristic
125	#14582784	C₂²	1	1	yes	characteristic
126	#14582784	C₂²	1	1	yes	characteristic
127	#14582784	C₂²	1	1	yes	characteristic
128	#14582784	C₂²	1	1	yes	characteristic
129	#14582783	C₂²	1	1	yes	characteristic
130	#14582783	C₂²	1	1	yes	characteristic
131	#14582782	C₂²	1	1	yes	characteristic
132	#14582781	C₂²	1	1	yes	characteristic
133	#14582781	C₂²	1	1	yes	characteristic
134	#14582781	C₂²	1	1	yes	characteristic
135	#14582781	C₂²	1	1	yes	characteristic
136	#14582780	C₂²	1	1	yes	characteristic
137	#14582778	C₂²	1	1	yes	characteristic
138	#14582778	C₂²	1	1	yes	characteristic
139	#14582775	C₂²	1	1	yes	characteristic
140	#14582775	C₂²	1	1	yes	characteristic
141	#14582773	C₂²	1	1	yes	characteristic
142	#14582773	C₂²	1	1	yes	characteristic
143	#14582773	C₂²	1	1	yes	characteristic
144	#14582773	C₂²	1	1	yes	characteristic
145	#14582773	C₂²	1	1	yes	characteristic
146	#14582772	C₂²	1	1	yes	characteristic
147	#14582772	C₂²	1	1	yes	characteristic
148	#14582772	C₂²	1	1	yes	characteristic
149	#14582772	C₂²	1	1	yes	characteristic
150	#14582770	C₂²	1	1	yes	characteristic
151	#14582770	C₂²	1	1	yes	characteristic
152	#14582770	C₂²	1	1	yes	characteristic
153	#14582768	C₂²	1	1	yes	characteristic
154	#14582768	C₂²	1	1	yes	characteristic
155	#14582766	C₂²	1	1	yes	characteristic
156	#14582763	C₂²	1	1	yes	characteristic
157	#14582763	C₂²	1	1	yes	characteristic
158	#14582763	C₂²	1	1	yes	characteristic
159	#14582762	C₂²	1	1	yes	characteristic
160	#14582761	C₂²	1	1	yes	characteristic
161	#14582761	C₂²	1	1	yes	characteristic
162	#14582759	C₂²	1	1	yes	characteristic
163	#14582758	C₂²	1	1	yes	characteristic
164	#14582758	C₂²	1	1	yes	characteristic
165	#14582758	C₂²	1	1	yes	characteristic
166	C₄×Dic₄₃⋊C₄	C₂²	1	1	yes	characteristic
167	#14582750	C₂²	1	1	yes	characteristic
168	C₄×(C₂×D₄₃)⋊C₄	C₂²	1	1	yes	characteristic
169	C₄×C₂²⋊Dic₄₃	C₂²	1	1	yes	characteristic
170	#14582745	C₂²	1	1	yes	characteristic
171	#14582744	C₂²	1	1	yes	characteristic
172	C₄₃×#400	C₂²	1	1	yes	characteristic
173	C₄₃×#400	C₂²	1	1	yes	characteristic
174	C₄₃×#398	C₂²	1	1	yes	characteristic
175	C₄₃×#398	C₂²	1	1	yes	characteristic
176	C₄₃×#387	C₂²	1	1	yes	characteristic
177	C₄₃×#387	C₂²	1	1	yes	characteristic
178	C₄₃×#387	C₂²	1	1	yes	characteristic
179	C₄₃×#387	C₂²	1	1	yes	characteristic
180	C₄₃×#385	C₂²	1	1	yes	characteristic
181	C₄₃×#385	C₂²	1	1	yes	characteristic
182	C₄₃×#380	C₂²	1	1	yes	characteristic
183	C₄₃×#380	C₂²	1	1	yes	characteristic
184	C₄₃×#380	C₂²	1	1	yes	characteristic
185	C₄×C₂²⋊C₄×C₄₃	C₂²	1	1	yes	characteristic
186	C₂×#95×C₄₃	C₂²	1	1	yes	characteristic
187	C₂²×Dic₈₆	C₂³	1	1	yes	characteristic
188	C₂²×C₂²⋊D₄₃	C₂³	1	1	yes	characteristic
189	C₂²×C₄×D₄₃	C₂³	1	1	yes	characteristic
190	C₂²×C₄×D₄₃	C₂³	1	1	yes	characteristic
191	C₂²×C₄×D₄₃	C₂³	1	1	yes	characteristic
192	#13063316	—	4	2	no	—
193	#13063315	—	4	2	no	—
194	#13063304	—	4	2	no	—
195	#13063303	—	4	2	no	—
196	C₄×C₂²⋊D₄₃	Q₈	1	8	yes	complemented
197	#13063284	—	4	2	no	—
198	C₂×C₄⋊Dic₄₃	C₂³	1	1	yes	characteristic
199	C₂×C₄⋊Dic₄₃	C₂³	1	1	yes	characteristic
200	C₂×C₄⋊Dic₄₃	C₂³	1	1	yes	characteristic
201	C₂×C₄⋊Dic₄₃	C₂³	1	1	yes	characteristic
202	C₂×C₄⋊Dic₄₃	C₂³	1	1	yes	characteristic
203	C₂×C₄⋊Dic₄₃	C₂³	1	1	yes	characteristic
204	C₂×C₄⋊Dic₄₃	C₂³	1	1	yes	characteristic
205	C₂×C₄⋊Dic₄₃	C₂³	1	1	yes	characteristic
206	C₂×C₄⋊Dic₄₃	C₂³	1	1	yes	characteristic
207	C₂×C₄⋊Dic₄₃	C₂³	1	1	yes	characteristic
208	C₂×C₄⋊Dic₄₃	C₂³	1	1	yes	characteristic
209	C₂×C₄⋊Dic₄₃	C₂³	1	1	yes	characteristic
210	C₂×C₄⋊Dic₄₃	C₂³	1	1	yes	characteristic
211	C₂×Dic₄₃⋊C₄	C₂³	1	1	yes	characteristic
212	C₂×Dic₄₃⋊C₄	C₂³	1	1	yes	characteristic
213	C₂×Dic₄₃⋊C₄	C₂³	1	1	yes	characteristic
214	C₂×Dic₄₃⋊C₄	C₂³	1	1	yes	characteristic
215	C₂×Dic₄₃⋊C₄	C₂³	1	1	yes	characteristic
216	C₂×Dic₄₃⋊C₄	C₂³	1	1	yes	characteristic
217	C₂×Dic₄₃⋊C₄	C₂³	1	1	yes	characteristic
218	C₂×Dic₄₃⋊C₄	C₂³	1	1	yes	characteristic
219	C₂×Dic₄₃⋊C₄	C₂³	1	1	yes	characteristic
220	C₂×Dic₄₃⋊C₄	C₂³	1	1	yes	characteristic
221	C₂×Dic₄₃⋊C₄	C₂³	1	1	yes	characteristic
222	C₂×Dic₄₃⋊C₄	C₂³	1	1	yes	characteristic
223	C₂×Dic₄₃⋊C₄	C₂³	1	1	yes	characteristic
224	C₂×Dic₄₃⋊C₄	C₂³	1	1	yes	characteristic
225	C₂×Dic₄₃⋊C₄	C₂³	1	1	yes	characteristic
226	C₂×Dic₄₃⋊C₄	C₂³	1	1	yes	characteristic
227	C₂×Dic₄₃⋊C₄	C₂³	1	1	yes	characteristic
228	C₂×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×Dic₄₃⋊C₄	C₂³	1	1	yes	characteristic
244	C₂×C₂²⋊Dic₄₃	C₂³	1	1	yes	characteristic
245	C₂×C₂²⋊Dic₄₃	C₂³	1	1	yes	characteristic
246	C₂×C₂²⋊Dic₄₃	C₂³	1	1	yes	characteristic
247	C₂×C₂²⋊Dic₄₃	C₂³	1	1	yes	characteristic
248	C₂×C₂²⋊Dic₄₃	C₂³	1	1	yes	characteristic
249	C₂×C₂²⋊Dic₄₃	C₂³	1	1	yes	characteristic
250	C₂×C₂²⋊Dic₄₃	C₂³	1	1	yes	characteristic
251	C₂×(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×C₄×Dic₄₃	C₂³	1	1	yes	characteristic
263	C₂×C₄×Dic₄₃	C₂³	1	1	yes	characteristic
264	C₂×C₄×Dic₄₃	C₂³	1	1	yes	characteristic
265	C₂×C₄×Dic₄₃	C₂³	1	1	yes	characteristic
266	C₂×C₄×Dic₄₃	C₂³	1	1	yes	characteristic
267	C₂×C₄×Dic₄₃	C₂³	1	1	yes	characteristic
268	C₂×C₄×Dic₄₃	C₂³	1	1	yes	characteristic
269	C₂×C₄×Dic₄₃	C₂³	1	1	yes	characteristic
270	C₂×C₄×Dic₄₃	C₂³	1	1	yes	characteristic
271	C₂×C₄×Dic₄₃	C₂³	1	1	yes	characteristic
272	C₂×C₄×Dic₄₃	C₂³	1	1	yes	characteristic
273	C₄²×D₄₃	—	4	2	no	—
274	C₄₃⋊#95	C₂³	1	1	yes	characteristic
275	C₄₃⋊#95	C₂³	1	1	yes	characteristic
276	C₄₃⋊#95	C₂³	1	1	yes	characteristic
277	C₄₃⋊#95	C₂³	1	1	yes	characteristic
278	C₄₃⋊#95	C₂³	1	1	yes	characteristic
279	C₄₃⋊#95	C₂³	1	1	yes	characteristic
280	C₄₃⋊#95	C₂³	1	1	yes	characteristic
281	C₄₃⋊#95	C₂³	1	1	yes	characteristic
282	C₄₃⋊#95	C₂³	1	1	yes	characteristic
283	C₄₃⋊#95	C₂³	1	1	yes	characteristic
284	C₄₃⋊#95	C₂³	1	1	yes	characteristic
285	C₄₃⋊#95	C₂³	1	1	yes	characteristic
286	C₄₃⋊#95	C₂³	1	1	yes	characteristic
287	C₄₃⋊#95	C₂³	1	1	yes	characteristic
288	C₄₃⋊#95	C₂³	1	1	yes	characteristic
289	C₄₃⋊#95	C₂³	1	1	yes	characteristic
290	C₄₃⋊#95	C₂³	1	1	yes	characteristic
291	C₄₃⋊#95	C₂³	1	1	yes	characteristic
292	C₄₃⋊#95	C₂³	1	1	yes	characteristic
293	C₄₃⋊#95	C₂³	1	1	yes	characteristic
294	C₄₃⋊#95	C₂³	1	1	yes	characteristic
295	C₄₃⋊#95	C₂³	1	1	yes	characteristic
296	C₄₃⋊#95	C₂³	1	1	yes	characteristic
297	C₄₃⋊#95	C₂³	1	1	yes	characteristic
298	C₄₃⋊#95	C₂³	1	1	yes	characteristic
299	C₄₃⋊#95	C₂³	1	1	yes	characteristic
300	C₄₃⋊#95	C₂³	1	1	yes	characteristic
301	C₄₃⋊#95	C₂³	1	1	yes	characteristic
302	C₄₃⋊#95	C₂³	1	1	yes	characteristic
303	C₄₃⋊#95	C₂³	1	1	yes	characteristic
304	C₄₃⋊#95	C₂³	1	1	yes	characteristic
305	C₄₃⋊#95	C₂³	1	1	yes	characteristic
306	C₄₃⋊#95	C₂³	1	1	yes	characteristic
307	C₄₃⋊#95	C₂³	1	1	yes	characteristic
308	C₄₃⋊#95	C₂³	1	1	yes	characteristic
309	C₄₃⋊#95	C₂³	1	1	yes	characteristic
310	C₄₃⋊#95	C₂³	1	1	yes	characteristic
311	C₄₃⋊#95	C₂³	1	1	yes	characteristic
312	C₄₃⋊#95	C₂³	1	1	yes	characteristic
313	C₄₃⋊#95	C₂³	1	1	yes	characteristic
314	C₂³×C₄×C₄₃	C₂³	1	1	yes	characteristic
315	C₂³×C₄×C₄₃	C₂³	1	1	yes	characteristic
316	C₂³×C₄×C₄₃	C₂³	1	1	yes	characteristic
317	C₂×C₄⋊C₄×C₄₃	C₂³	1	1	yes	characteristic
318	C₂×C₄⋊C₄×C₄₃	C₂³	1	1	yes	characteristic
319	C₂×C₄⋊C₄×C₄₃	C₂³	1	1	yes	characteristic
320	C₂×C₄⋊C₄×C₄₃	C₂³	1	1	yes	characteristic
321	C₂×C₄⋊C₄×C₄₃	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×C₂²⋊C₄×C₄₃	C₂³	1	1	yes	characteristic
328	C₂×C₂²⋊C₄×C₄₃	C₂³	1	1	yes	characteristic
329	C₂×C₂²⋊C₄×C₄₃	C₂³	1	1	yes	characteristic
330	C₂×C₂²⋊C₄×C₄₃	C₂³	1	1	yes	characteristic
331	C₂×C₄²×C₄₃	C₂³	1	1	yes	characteristic
332	C₂×C₄²×C₄₃	C₂³	1	1	yes	characteristic
333	#95×C₄₃	C₂³	1	1	yes	characteristic
334	#95×C₄₃	C₂³	1	1	yes	characteristic
335	#95×C₄₃	C₂³	1	1	yes	characteristic
336	#95×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	C₂⁴×C₄₃	C₂⁴	1	1	yes	characteristic
350	C₂³×D₄₃	C₂⁴	1	1	yes	characteristic
351	C₂²×C₄×C₄₃	—	4	1	no	—
352	C₂²×C₄×C₄₃	—	4	1	no	—
353	C₂²×C₄×C₄₃	—	4	1	no	—
354	C₂²×C₄×C₄₃	—	4	1	no	—
355	C₂²×C₄×C₄₃	—	4	1	no	—
356	C₂²×C₄×C₄₃	—	4	1	no	—
357	C₂²×C₄×C₄₃	—	4	1	no	—
358	C₂²×C₄×C₄₃	—	4	1	no	—
359	C₂²×C₄×C₄₃	C₂×Q₈	1	4	yes	—
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	C₂×C₂²⋊D₄₃	—	4	1	no	—
375	C₂×C₂²⋊D₄₃	—	4	1	no	—
376	C₂×C₂²⋊D₄₃	C₂×Q₈	1	4	yes	—
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	C₂²×Dic₄₃	C₂⁴	1	1	yes	characteristic
389	C₂²×Dic₄₃	C₂⁴	1	1	yes	characteristic
390	C₂²×Dic₄₃	C₂⁴	1	1	yes	characteristic
391	C₂²×Dic₄₃	C₂⁴	1	1	yes	characteristic
392	C₂×C₄×D₄₃	—	2	2	no	—
393	C₂×C₄×D₄₃	—	4	1	no	—
394	C₂×C₄×D₄₃	—	4	1	no	—
395	C₂×C₄×D₄₃	—	4	1	no	—
396	C₂×C₄×D₄₃	—	4	1	no	—
397	C₂×C₄×D₄₃	—	4	1	no	—
398	C₂×C₄×D₄₃	—	4	1	no	—
399	C₂×C₄×D₄₃	—	4	1	no	—
400	C₂×C₄×D₄₃	C₂×Q₈	1	4	yes	—
401	C₂×Dic₈₆	—	2	2	no	—
402	C₂×Dic₈₆	—	4	1	no	—
403	C₂×Dic₈₆	—	4	1	no	—
404	C₄⋊C₄×C₄₃	—	4	1	no	—
405	C₄⋊C₄×C₄₃	—	4	1	no	—
406	C₄⋊C₄×C₄₃	—	4	1	no	—
407	C₄⋊C₄×C₄₃	—	4	1	no	—
408	C₄⋊C₄×C₄₃	—	4	1	no	—
409	C₄⋊C₄×C₄₃	—	4	1	no	—
410	C₄⋊C₄×C₄₃	—	4	1	no	—
411	C₄⋊C₄×C₄₃	—	4	1	no	—
412	C₄⋊C₄×C₄₃	—	4	1	no	—
413	C₄⋊C₄×C₄₃	—	4	1	no	—
414	C₂²⋊C₄×C₄₃	—	4	1	no	—
415	C₂²⋊C₄×C₄₃	—	4	1	no	—
416	C₂²⋊C₄×C₄₃	—	4	1	no	—
417	C₂²⋊C₄×C₄₃	—	4	1	no	—
418	C₄²×C₄₃	—	4	1	no	—
419	C₄²×C₄₃	—	4	1	no	—
420	C₂²⋊Dic₄₃	—	2	2	no	—
421	C₂²⋊Dic₄₃	—	4	1	no	—
422	C₂²⋊Dic₄₃	—	4	1	no	—
423	C₂²⋊Dic₄₃	—	4	1	no	—
424	C₂²⋊Dic₄₃	—	4	1	no	—
425	C₂²⋊Dic₄₃	—	4	1	no	—
426	C₂²⋊Dic₄₃	C₂×Q₈	1	4	yes	—
427	(C₂×D₄₃)⋊C₄	—	4	1	no	—
428	(C₂×D₄₃)⋊C₄	—	4	1	no	—
429	(C₂×D₄₃)⋊C₄	—	4	1	no	—
430	(C₂×D₄₃)⋊C₄	—	4	1	no	—
431	(C₂×D₄₃)⋊C₄	—	4	1	no	—
432	(C₂×D₄₃)⋊C₄	—	4	1	no	—
433	(C₂×D₄₃)⋊C₄	—	4	1	no	—
434	(C₂×D₄₃)⋊C₄	—	4	1	no	—
435	(C₂×D₄₃)⋊C₄	—	4	1	no	—
436	(C₂×D₄₃)⋊C₄	—	4	1	no	—
437	(C₂×D₄₃)⋊C₄	C₂×Q₈	1	4	yes	—
438	C₄⋊Dic₄₃	—	2	2	no	—
439	C₄⋊Dic₄₃	—	2	2	no	—
440	C₄⋊Dic₄₃	—	4	1	no	—
441	C₄⋊Dic₄₃	—	4	1	no	—
442	C₄⋊Dic₄₃	—	4	1	no	—
443	C₄⋊Dic₄₃	—	4	1	no	—
444	C₄⋊Dic₄₃	—	4	1	no	—
445	C₄⋊Dic₄₃	—	4	1	no	—
446	C₄⋊Dic₄₃	—	4	1	no	—
447	C₄⋊Dic₄₃	—	4	1	no	—
448	C₄⋊Dic₄₃	—	4	1	no	—
449	C₄⋊Dic₄₃	—	4	1	no	—
450	C₄⋊Dic₄₃	—	4	1	no	—
451	Dic₄₃⋊C₄	—	2	2	no	—
452	Dic₄₃⋊C₄	—	2	2	no	—
453	Dic₄₃⋊C₄	—	4	1	no	—
454	Dic₄₃⋊C₄	—	4	1	no	—
455	Dic₄₃⋊C₄	—	4	1	no	—
456	Dic₄₃⋊C₄	—	4	1	no	—
457	Dic₄₃⋊C₄	—	4	1	no	—
458	Dic₄₃⋊C₄	—	4	1	no	—
459	Dic₄₃⋊C₄	—	4	1	no	—
460	Dic₄₃⋊C₄	—	4	1	no	—
461	Dic₄₃⋊C₄	—	4	1	no	—
462	Dic₄₃⋊C₄	—	4	1	no	—
463	Dic₄₃⋊C₄	—	4	1	no	—
464	Dic₄₃⋊C₄	—	4	1	no	—
465	Dic₄₃⋊C₄	—	4	1	no	—
466	Dic₄₃⋊C₄	—	4	1	no	—
467	Dic₄₃⋊C₄	—	4	1	no	—
468	Dic₄₃⋊C₄	—	4	1	no	—
469	Dic₄₃⋊C₄	—	4	1	no	—
470	Dic₄₃⋊C₄	—	4	1	no	—
471	Dic₄₃⋊C₄	—	4	1	no	—
472	Dic₄₃⋊C₄	—	4	1	no	—
473	Dic₄₃⋊C₄	—	4	1	no	—
474	Dic₄₃⋊C₄	—	4	1	no	—
475	Dic₄₃⋊C₄	—	4	1	no	—
476	Dic₄₃⋊C₄	—	4	1	no	—
477	Dic₄₃⋊C₄	—	4	1	no	—
478	Dic₄₃⋊C₄	—	4	1	no	—
479	Dic₄₃⋊C₄	—	4	1	no	—
480	Dic₄₃⋊C₄	—	4	1	no	—
481	Dic₄₃⋊C₄	—	4	1	no	—
482	Dic₄₃⋊C₄	—	4	1	no	—
483	Dic₄₃⋊C₄	C₂×Q₈	1	4	yes	—
484	C₄×Dic₄₃	—	2	2	no	—
485	C₄×Dic₄₃	—	2	2	no	—
486	C₄×Dic₄₃	—	4	1	no	—
487	C₄×Dic₄₃	—	4	1	no	—
488	C₄×Dic₄₃	—	4	1	no	—
489	C₄×Dic₄₃	—	4	1	no	—
490	C₄×Dic₄₃	—	4	1	no	—
491	C₄×Dic₄₃	—	4	1	no	—
492	C₄×Dic₄₃	—	4	1	no	—
493	C₄×Dic₄₃	—	4	1	no	—
494	C₄×Dic₄₃	C₂×Q₈	1	4	yes	—
495	C₂³×C₄₃	—	2	1	no	—
496	C₂³×C₄₃	—	2	1	no	—
497	C₂³×C₄₃	—	2	1	no	—
498	C₂³×C₄₃	—	2	1	no	—
499	C₂³×C₄₃	—	2	1	no	—
500	C₂³×C₄₃	—	2	1	no	—
501	C₂³×C₄₃	C₂²×Q₈	1	2	yes	—
502	C₂³×C₄₃	C₂⁵	1	1	yes	characteristic
503	C₂²×D₄₃	—	2	1	no	—
504	C₂²×D₄₃	—	2	1	no	—
505	C₂²×D₄₃	—	2	1	no	—
506	C₂²×D₄₃	—	2	1	no	—
507	C₂²×D₄₃	—	2	1	no	—
508	C₂²×D₄₃	—	2	1	no	—
509	C₂²×D₄₃	C₂²×Q₈	1	2	yes	—
510	C₂×C₄×C₄₃	—	2	1	no	—
511	C₂×C₄×C₄₃	—	2	1	no	—
512	C₂×C₄×C₄₃	—	2	1	no	—
513	C₂×C₄×C₄₃	—	2	1	no	—
514	C₂×C₄×C₄₃	—	2	1	no	—
515	C₂×C₄×C₄₃	—	2	1	no	—
516	C₂×C₄×C₄₃	—	2	1	no	—
517	C₂×C₄×C₄₃	—	2	1	no	—
518	C₂×C₄×C₄₃	—	2	1	no	—
519	C₂×C₄×C₄₃	—	2	1	no	—
520	C₂×C₄×C₄₃	—	2	1	no	—
521	C₂×C₄×C₄₃	—	2	1	no	—
522	C₂×C₄×C₄₃	—	2	1	no	—
523	C₂×C₄×C₄₃	—	2	1	no	—
524	C₂×C₄×C₄₃	—	2	1	no	—
525	C₂×C₄×C₄₃	—	2	1	no	—
526	C₂×C₄×C₄₃	—	2	1	no	—
527	C₂×C₄×C₄₃	—	2	1	no	—
528	C₂×C₄×C₄₃	—	2	1	no	—
529	C₂×C₄×C₄₃	—	2	1	no	—
530	C₂×C₄×C₄₃	—	2	1	no	—
531	C₂×C₄×C₄₃	—	2	1	no	—
532	C₂×C₄×C₄₃	—	2	1	no	—
533	C₂×C₄×C₄₃	—	2	1	no	—
534	C₂×C₄×C₄₃	—	2	1	no	—
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	—	4	4	no	—
551	C₂×C₄×C₄₃	—	8	2	no	—
552	C₂×C₄×C₄₃	—	8	2	no	—
553	C₂×C₄×C₄₃	C₂²×Q₈	1	2	yes	—
554	C₂×C₄×C₄₃	C₂²×Q₈	1	2	yes	—
555	C₂²⋊D₄₃	—	4	4	no	—
556	C₂×Dic₄₃	—	2	1	no	—
557	C₂×Dic₄₃	—	2	1	no	—
558	C₂×Dic₄₃	—	2	1	no	—
559	C₂×Dic₄₃	—	2	1	no	—
560	C₂×Dic₄₃	—	2	1	no	—
561	C₂×Dic₄₃	—	2	1	no	—
562	C₂×Dic₄₃	—	2	1	no	—
563	C₂×Dic₄₃	—	2	1	no	—
564	C₂×Dic₄₃	—	2	1	no	—
565	C₂×Dic₄₃	—	2	1	no	—
566	C₂×Dic₄₃	—	2	1	no	—
567	C₂×Dic₄₃	—	2	1	no	—
568	C₂×Dic₄₃	—	2	1	no	—
569	C₂×Dic₄₃	—	2	1	no	—
570	C₂×Dic₄₃	—	2	1	no	—
571	C₂×Dic₄₃	—	2	1	no	—
572	C₂×Dic₄₃	—	2	1	no	—
573	C₂×Dic₄₃	—	2	1	no	—
574	C₂×Dic₄₃	—	2	1	no	—
575	C₂×Dic₄₃	—	2	1	no	—
576	C₂×Dic₄₃	—	2	1	no	—
577	C₂×Dic₄₃	—	2	1	no	—
578	C₂×Dic₄₃	—	2	1	no	—
579	C₂×Dic₄₃	—	2	1	no	—
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	C₂²×Q₈	1	2	yes	—
598	C₂×Dic₄₃	C₂²×Q₈	1	2	yes	—
599	C₂×Dic₄₃	C₂²×Q₈	1	2	yes	—
600	C₂×Dic₄₃	H(5,𝔽₂)	1	2	yes	—
601	C₄×D₄₃	—	4	4	no	—
602	C₄×D₄₃	—	4	4	no	—
603	C₄×D₄₃	—	4	4	no	—
604	Dic₈₆	—	8	2	no	—
605	#36756	—	43	1	no	maximal, Sylow
606	C₂²×C₄₃	—	2	2	no	—
607	C₂²×C₄₃	—	2	2	no	—
608	C₂²×C₄₃	—	2	2	no	—
609	C₂²×C₄₃	—	4	1	no	—
610	C₂²×C₄₃	—	4	1	no	—
611	C₂²×C₄₃	—	4	1	no	—
612	C₂²×C₄₃	—	4	1	no	—
613	C₂²×C₄₃	C₂³×Q₈	1	1	yes	characteristic
614	C₂²×C₄₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
615	C₂²×C₄₃	#585	1	1	yes	characteristic
616	C₂²×C₄₃	#585	1	1	yes	characteristic
617	C₂²×C₄₃	#585	1	1	yes	characteristic
618	C₂²×C₄₃	#585	1	1	yes	characteristic
619	C₂²×C₄₃	#585	1	1	yes	characteristic
620	C₂×D₄₃	—	2	2	no	—
621	C₂×D₄₃	—	2	2	no	—
622	C₂×D₄₃	—	2	2	no	—
623	C₂×D₄₃	—	4	1	no	—
624	C₂×D₄₃	—	4	1	no	—
625	C₂×D₄₃	—	4	1	no	—
626	C₂×D₄₃	—	4	1	no	—
627	C₄×C₄₃	—	2	2	no	—
628	C₄×C₄₃	—	2	2	no	—
629	C₄×C₄₃	—	4	1	no	—
630	C₄×C₄₃	—	4	1	no	—
631	C₄×C₄₃	—	4	1	no	—
632	C₄×C₄₃	—	4	1	no	—
633	C₄×C₄₃	—	4	1	no	—
634	C₄×C₄₃	—	4	1	no	—
635	C₄×C₄₃	—	4	1	no	—
636	C₄×C₄₃	—	4	1	no	—
637	C₄×C₄₃	—	4	1	no	—
638	C₄×C₄₃	—	4	1	no	—
639	C₄×C₄₃	—	4	1	no	—
640	C₄×C₄₃	—	4	1	no	—
641	Dic₄₃	—	2	2	no	—
642	Dic₄₃	—	2	2	no	—
643	Dic₄₃	—	2	2	no	—
644	Dic₄₃	—	2	2	no	—
645	Dic₄₃	—	4	1	no	—
646	Dic₄₃	—	4	1	no	—
647	Dic₄₃	—	4	1	no	—
648	Dic₄₃	—	4	1	no	—
649	Dic₄₃	—	4	1	no	—
650	Dic₄₃	—	4	1	no	—
651	Dic₄₃	—	4	1	no	—
652	Dic₄₃	—	4	1	no	—
653	Dic₄₃	—	4	1	no	—
654	Dic₄₃	—	4	1	no	—
655	Dic₄₃	—	4	1	no	—
656	#2855	—	43	1	no	—
657	#2851	—	43	1	no	—
658	#2807	—	43	1	no	—
659	#2802	—	43	1	no	—
660	#2791	—	43	1	no	—
661	#2790	—	43	1	no	—
662	#2790	—	43	1	no	—
663	#2780	—	43	1	no	—
664	#2780	—	43	1	no	—
665	#2768	—	43	1	no	—
666	#2768	—	43	1	no	—
667	#2768	—	43	1	no	—
668	#2755	—	43	1	no	—
669	#2748	—	43	1	no	—
670	#2732	—	43	1	no	—
671	#2726	—	43	1	no	—
672	#2720	—	43	1	no	—
673	#2704	—	43	1	no	—
674	#2667	—	43	1	no	—
675	#2667	—	43	1	no	—
676	#2612	—	43	1	no	—
677	#2608	—	43	1	no	—
678	#2606	—	43	1	no	—
679	#2606	—	43	1	no	—
680	#2570	—	43	1	no	—
681	#2569	D₄₃	1	1	yes	characteristic, complemented
682	#2441	—	43	1	no	—
683	#2438	—	43	1	no	—
684	#2319	—	43	1	no	—
685	#2318	—	43	1	no	—
686	#2290	—	43	1	no	—
687	C₂×C₄₃	—	4	2	no	—
688	C₂×C₄₃	#3458	1	1	yes	characteristic
689	C₂×C₄₃	#3501	1	1	yes	characteristic
690	C₂×C₄₃	#3504	1	1	yes	characteristic
691	C₂×C₄₃	#3533	1	1	yes	characteristic
692	C₂×C₄₃	#3539	1	1	yes	characteristic
693	C₂×C₄₃	#3566	1	1	yes	characteristic
694	C₂×C₄₃	#3567	1	1	yes	characteristic
695	D₄₃	—	4	2	no	—
696	C₂×#125	—	43	1	no	—
697	C₂×#125	—	43	1	no	—
698	C₂×C₂²⋊Q₈	—	43	1	no	—
699	C₂×C₂²⋊Q₈	—	43	1	no	—
700	C₂×C₄×D₄	—	43	1	no	—
701	C₂×#117	—	43	1	no	—
702	C₂²×C₄²	—	43	1	no	—
703	#400	—	43	1	no	—
704	#400	—	43	1	no	—
705	#400	—	43	1	no	—
706	#400	—	43	1	no	—
707	#400	C₂×D₄₃	1	1	yes	characteristic
708	#400	C₂×D₄₃	1	1	yes	characteristic
709	#399	—	43	1	no	—
710	#399	—	43	1	no	—
711	#399	—	43	1	no	—
712	#399	—	43	1	no	—
713	#399	—	43	1	no	—
714	#399	—	43	1	no	—
715	#398	—	43	1	no	—
716	#398	—	43	1	no	—
717	#398	—	43	1	no	—
718	#398	—	43	1	no	—
719	#398	—	43	1	no	—
720	#398	—	43	1	no	—
721	#398	—	43	1	no	—
722	#398	—	43	1	no	—
723	#398	—	43	1	no	—
724	#398	—	43	1	no	—
725	#398	—	43	1	no	—
726	#398	—	43	1	no	—
727	#398	—	43	1	no	—
728	#398	—	43	1	no	—
729	#398	—	43	1	no	—
730	#398	—	43	1	no	—
731	#398	—	43	1	no	—
732	#398	—	43	1	no	—
733	#398	—	43	1	no	—
734	#398	—	43	1	no	—
735	#398	—	43	1	no	—
736	#398	—	43	1	no	—
737	#398	C₂×D₄₃	1	1	yes	characteristic
738	#398	C₂×D₄₃	1	1	yes	characteristic
739	#396	—	43	1	no	—
740	#396	—	43	1	no	—
741	#396	—	43	1	no	—
742	#396	—	43	1	no	—
743	#396	—	43	1	no	—
744	#396	—	43	1	no	—
745	#396	—	43	1	no	—
746	#396	—	43	1	no	—
747	#396	—	43	1	no	—
748	#396	—	43	1	no	—
749	#395	—	43	1	no	—
750	#395	—	43	1	no	—
751	#391	—	43	1	no	—
752	#391	—	43	1	no	—
753	#391	—	43	1	no	—
754	#390	—	43	1	no	—
755	#390	—	43	1	no	—
756	#389	—	43	1	no	—
757	#389	—	43	1	no	—
758	#389	—	43	1	no	—
759	#389	—	43	1	no	—
760	#389	—	43	1	no	—
761	#389	—	43	1	no	—
762	#389	—	43	1	no	—
763	#389	—	43	1	no	—
764	#389	—	43	1	no	—
765	#389	—	43	1	no	—
766	#389	—	43	1	no	—
767	#389	—	43	1	no	—
768	#389	—	43	1	no	—
769	#389	—	43	1	no	—
770	#389	—	43	1	no	—
771	#389	—	43	1	no	—
772	#389	—	43	1	no	—
773	#389	—	43	1	no	—
774	#389	—	43	1	no	—
775	#389	—	43	1	no	—
776	#389	—	43	1	no	—
777	#388	—	43	1	no	—
778	#388	—	43	1	no	—
779	#388	—	43	1	no	—
780	#388	—	43	1	no	—
781	#388	—	43	1	no	—
782	#388	—	43	1	no	—
783	#388	—	43	1	no	—
784	#388	—	43	1	no	—
785	#387	—	43	1	no	—
786	#387	—	43	1	no	—
787	#387	—	43	1	no	—
788	#387	—	43	1	no	—
789	#387	—	43	1	no	—
790	#387	—	43	1	no	—
791	#387	—	43	1	no	—
792	#387	—	43	1	no	—
793	#387	—	43	1	no	—
794	#387	—	43	1	no	—
795	#387	—	43	1	no	—
796	#387	—	43	1	no	—
797	#387	—	43	1	no	—
798	#387	—	43	1	no	—
799	#387	—	43	1	no	—
800	#387	—	43	1	no	—
801	#387	—	43	1	no	—
802	#387	—	43	1	no	—
803	#387	—	43	1	no	—
804	#387	—	43	1	no	—
805	#387	C₂×D₄₃	1	1	yes	characteristic
806	#387	C₂×D₄₃	1	1	yes	characteristic
807	#387	C₂×D₄₃	1	1	yes	characteristic
808	#387	C₂×D₄₃	1	1	yes	characteristic
809	#386	—	43	1	no	—
810	#386	—	43	1	no	—
811	#386	—	43	1	no	—
812	#386	—	43	1	no	—
813	#385	—	43	1	no	—
814	#385	—	43	1	no	—
815	#385	—	43	1	no	—
816	#385	—	43	1	no	—
817	#385	—	43	1	no	—
818	#385	—	43	1	no	—
819	#385	—	43	1	no	—
820	#385	—	43	1	no	—
821	#385	—	43	1	no	—
822	#385	—	43	1	no	—
823	#385	—	43	1	no	—
824	#385	—	43	1	no	—
825	#385	C₂×D₄₃	1	1	yes	characteristic
826	#385	C₂×D₄₃	1	1	yes	characteristic
827	#384	—	43	1	no	—
828	#384	—	43	1	no	—
829	#383	—	43	1	no	—
830	#382	—	43	1	no	—
831	#382	—	43	1	no	—
832	#382	—	43	1	no	—
833	#381	—	43	1	no	—
834	#381	—	43	1	no	—
835	#381	—	43	1	no	—
836	#380	—	43	1	no	—
837	#380	—	43	1	no	—
838	#380	—	43	1	no	—
839	#380	—	43	1	no	—
840	#380	C₂×D₄₃	1	1	yes	characteristic
841	#380	C₂×D₄₃	1	1	yes	characteristic
842	#380	C₂×D₄₃	1	1	yes	characteristic
843	C₄×C₄⋊C₄	—	43	1	no	—
844	C₄×C₄⋊C₄	—	43	1	no	—
845	C₄×C₂²⋊C₄	—	43	1	no	—
846	C₄×C₂²⋊C₄	—	43	1	no	—
847	C₄×C₂²⋊C₄	C₂×D₄₃	1	1	yes	characteristic
848	#376	—	43	1	no	—
849	#376	—	43	1	no	—
850	C₂×#95	C₂×D₄₃	1	1	yes	characteristic
851	C₄₃	#36756	1	1	yes	characteristic, complemented, Sylow
852	C₂²×Q₈	—	43	1	no	—
853	C₂²×D₄	—	43	1	no	—
854	C₂³×C₄	—	43	1	no	—
855	C₂³×C₄	—	43	1	no	—
856	C₂³×C₄	—	43	1	no	—
857	C₂³×C₄	C₂²×D₄₃	1	1	yes	characteristic
858	C₂³×C₄	C₂²×D₄₃	1	1	yes	characteristic
859	C₂³×C₄	C₂²×D₄₃	1	1	yes	characteristic
860	#125	—	172	2	no	—
861	#125	—	172	2	no	—
862	C₂²⋊Q₈	—	172	2	no	—
863	C₂²⋊Q₈	—	172	2	no	—
864	C₄×D₄	—	43	8	no	—
865	#117	—	172	2	no	—
866	C₂×C₄⋊C₄	—	43	1	no	—
867	C₂×C₄⋊C₄	—	43	1	no	—
868	C₂×C₄⋊C₄	—	43	1	no	—
869	C₂×C₄⋊C₄	—	43	1	no	—
870	C₂×C₄⋊C₄	—	43	1	no	—
871	C₂×C₄⋊C₄	—	43	1	no	—
872	C₂×C₄⋊C₄	—	43	1	no	—
873	C₂×C₄⋊C₄	—	43	1	no	—
874	C₂×C₄⋊C₄	—	43	1	no	—
875	C₂×C₄⋊C₄	—	43	1	no	—
876	C₂×C₄⋊C₄	—	43	1	no	—
877	C₂×C₄⋊C₄	—	43	1	no	—
878	C₂×C₄⋊C₄	—	43	1	no	—
879	C₂×C₄⋊C₄	—	43	1	no	—
880	C₂×C₄⋊C₄	—	43	1	no	—
881	C₂×C₄⋊C₄	—	43	1	no	—
882	C₂×C₄⋊C₄	—	43	1	no	—
883	C₂×C₄⋊C₄	—	43	1	no	—
884	C₂×C₄⋊C₄	—	43	1	no	—
885	C₂×C₄⋊C₄	—	43	1	no	—
886	C₂×C₄⋊C₄	—	43	1	no	—
887	C₂×C₄⋊C₄	—	43	1	no	—
888	C₂×C₄⋊C₄	—	43	1	no	—
889	C₂×C₄⋊C₄	—	43	1	no	—
890	C₂×C₄⋊C₄	—	43	1	no	—
891	C₂×C₄⋊C₄	—	43	1	no	—
892	C₂×C₄⋊C₄	—	43	1	no	—
893	C₂×C₄⋊C₄	—	43	1	no	—
894	C₂×C₄⋊C₄	—	43	1	no	—
895	C₂×C₄⋊C₄	—	43	1	no	—
896	C₂×C₄⋊C₄	—	43	1	no	—
897	C₂×C₄⋊C₄	—	43	1	no	—
898	C₂×C₄⋊C₄	—	43	1	no	—
899	C₂×C₄⋊C₄	—	43	1	no	—
900	C₂×C₄⋊C₄	—	43	1	no	—
901	C₂×C₄⋊C₄	—	43	1	no	—
902	C₂×C₄⋊C₄	—	43	1	no	—
903	C₂×C₄⋊C₄	—	43	1	no	—
904	C₂×C₄⋊C₄	—	43	1	no	—
905	C₂×C₄⋊C₄	—	43	1	no	—
906	C₂×C₄⋊C₄	—	43	1	no	—
907	C₂×C₄⋊C₄	—	43	1	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	C₂²×D₄₃	1	1	yes	characteristic
913	C₂×C₄⋊C₄	C₂²×D₄₃	1	1	yes	characteristic
914	C₂×C₄⋊C₄	C₂²×D₄₃	1	1	yes	characteristic
915	C₂×C₄⋊C₄	C₂²×D₄₃	1	1	yes	characteristic
916	C₂×C₄⋊C₄	C₂²×D₄₃	1	1	yes	characteristic
917	C₂×C₄⋊C₄	C₂²×D₄₃	1	1	yes	characteristic
918	C₂×C₄⋊C₄	C₂²×D₄₃	1	1	yes	characteristic
919	C₂×C₄⋊C₄	C₂²×D₄₃	1	1	yes	characteristic
920	C₂×C₄⋊C₄	C₂²×D₄₃	1	1	yes	characteristic
921	C₂×C₄⋊C₄	C₂²×D₄₃	1	1	yes	characteristic
922	C₂×C₂²⋊C₄	—	43	1	no	—
923	C₂×C₂²⋊C₄	—	43	1	no	—
924	C₂×C₂²⋊C₄	—	43	1	no	—
925	C₂×C₂²⋊C₄	—	43	1	no	—
926	C₂×C₂²⋊C₄	—	43	1	no	—
927	C₂×C₂²⋊C₄	—	43	1	no	—
928	C₂×C₂²⋊C₄	—	43	1	no	—
929	C₂×C₂²⋊C₄	—	43	1	no	—
930	C₂×C₂²⋊C₄	—	43	1	no	—
931	C₂×C₂²⋊C₄	—	43	1	no	—
932	C₂×C₂²⋊C₄	—	43	1	no	—
933	C₂×C₂²⋊C₄	—	43	1	no	—
934	C₂×C₂²⋊C₄	—	43	1	no	—
935	C₂×C₂²⋊C₄	—	43	1	no	—
936	C₂×C₂²⋊C₄	—	43	1	no	—
937	C₂×C₂²⋊C₄	—	43	1	no	—
938	C₂×C₂²⋊C₄	—	43	1	no	—
939	C₂×C₂²⋊C₄	—	43	1	no	—
940	C₂×C₂²⋊C₄	C₂²×D₄₃	1	1	yes	characteristic
941	C₂×C₂²⋊C₄	C₂²×D₄₃	1	1	yes	characteristic
942	C₂×C₂²⋊C₄	C₂²×D₄₃	1	1	yes	characteristic
943	C₂×C₂²⋊C₄	C₂²×D₄₃	1	1	yes	characteristic
944	C₂×C₄²	—	43	1	no	—
945	C₂×C₄²	—	43	1	no	—
946	C₂×C₄²	—	43	1	no	—
947	C₂×C₄²	—	43	1	no	—
948	C₂×C₄²	—	43	1	no	—
949	C₂×C₄²	—	43	1	no	—
950	C₂×C₄²	—	43	1	no	—
951	C₂×C₄²	—	43	1	no	—
952	C₂×C₄²	—	43	1	no	—
953	C₂×C₄²	—	43	1	no	—
954	C₂×C₄²	—	43	1	no	—
955	C₂×C₄²	—	172	2	no	—
956	C₂×C₄²	C₂²×D₄₃	1	1	yes	characteristic
957	C₂×C₄²	C₂²×D₄₃	1	1	yes	characteristic
958	#95	—	43	1	no	—
959	#95	—	43	1	no	—
960	#95	—	43	1	no	—
961	#95	—	43	1	no	—
962	#95	—	43	1	no	—
963	#95	—	43	1	no	—
964	#95	—	43	1	no	—
965	#95	—	43	1	no	—
966	#95	—	43	1	no	—
967	#95	—	43	1	no	—
968	#95	—	43	1	no	—
969	#95	—	43	1	no	—
970	#95	—	43	1	no	—
971	#95	—	43	1	no	—
972	#95	—	43	1	no	—
973	#95	—	43	1	no	—
974	#95	—	43	1	no	—
975	#95	—	43	1	no	—
976	#95	—	43	1	no	—
977	#95	—	43	1	no	—
978	#95	—	43	1	no	—
979	#95	—	43	1	no	—
980	#95	—	43	1	no	—
981	#95	—	43	1	no	—
982	#95	—	43	1	no	—
983	#95	—	43	1	no	—
984	#95	—	43	1	no	—
985	#95	—	43	1	no	—
986	#95	—	43	1	no	—
987	#95	—	43	1	no	—
988	#95	—	43	1	no	—
989	#95	—	43	1	no	—
990	#95	—	43	1	no	—
991	#95	—	43	1	no	—
992	#95	—	43	1	no	—
993	#95	—	43	1	no	—
994	#95	—	43	1	no	—
995	#95	—	43	1	no	—
996	#95	—	43	1	no	—
997	#95	—	43	1	no	—
998	#95	C₂²×D₄₃	1	1	yes	characteristic
999	#95	C₂²×D₄₃	1	1	yes	characteristic
1000	#95	C₂²×D₄₃	1	1	yes	characteristic
1001	#95	C₂²×D₄₃	1	1	yes	characteristic
1002	#95	C₂²×D₄₃	1	1	yes	characteristic
1003	#95	C₂²×D₄₃	1	1	yes	characteristic
1004	#95	C₂²×D₄₃	1	1	yes	characteristic
1005	#95	C₂²×D₄₃	1	1	yes	characteristic
1006	#95	C₂²×D₄₃	1	1	yes	characteristic
1007	#95	C₂²×D₄₃	1	1	yes	characteristic
1008	#95	C₂²×D₄₃	1	1	yes	characteristic
1009	#95	C₂²×D₄₃	1	1	yes	characteristic
1010	#95	C₂²×D₄₃	1	1	yes	characteristic
1011	#95	C₂²×D₄₃	1	1	yes	characteristic
1012	#95	C₂²×D₄₃	1	1	yes	characteristic
1013	#95	C₂²×D₄₃	1	1	yes	characteristic
1014	C₂⁴	—	43	1	no	—
1015	C₂⁴	C₂³×D₄₃	1	1	yes	characteristic
1016	C₂×Q₈	—	86	2	no	—
1017	C₂×Q₈	—	172	1	no	—
1018	C₂×Q₈	—	172	1	no	—
1019	C₂×D₄	—	43	4	no	—
1020	C₂×D₄	—	172	1	no	—
1021	C₂×D₄	—	172	1	no	—
1022	C₂²×C₄	—	4	1	no	—
1023	C₂²×C₄	—	4	1	no	—
1024	C₂²×C₄	—	4	1	no	—
1025	C₂²×C₄	—	4	1	no	—
1026	C₂²×C₄	—	4	1	no	—
1027	C₂²×C₄	—	4	1	no	—
1028	C₂²×C₄	—	4	1	no	—
1029	C₂²×C₄	—	4	1	no	—
1030	C₂²×C₄	—	43	1	no	—
1031	C₂²×C₄	—	43	1	no	—
1032	C₂²×C₄	—	43	1	no	—
1033	C₂²×C₄	—	43	1	no	—
1034	C₂²×C₄	—	43	4	no	—
1035	C₂²×C₄	—	43	1	no	—
1036	C₂²×C₄	—	43	1	no	—
1037	C₂²×C₄	—	43	1	no	—
1038	C₂²×C₄	—	43	1	no	—
1039	C₂²×C₄	—	43	1	no	—
1040	C₂²×C₄	—	43	1	no	—
1041	C₂²×C₄	—	43	1	no	—
1042	C₂²×C₄	—	43	1	no	—
1043	C₂²×C₄	—	43	1	no	—
1044	C₂²×C₄	—	43	1	no	—
1045	C₂²×C₄	—	43	1	no	—
1046	C₂²×C₄	—	86	2	no	—
1047	C₂²×C₄	—	172	1	no	—
1048	C₂²×C₄	—	172	1	no	—
1049	C₂²×C₄	—	172	1	no	—
1050	C₂²×C₄	—	172	1	no	—
1051	C₂²×C₄	—	172	1	no	—
1052	C₂²×C₄	—	172	1	no	—
1053	C₂²×C₄	—	172	1	no	—
1054	C₂²×C₄	Q₈×D₄₃	1	4	yes	—
1055	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
1056	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
1057	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
1058	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
1059	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
1060	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
1061	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
1062	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
1063	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
1064	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
1065	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
1066	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
1067	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
1068	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
1069	C₄⋊C₄	—	4	1	no	—
1070	C₄⋊C₄	—	4	1	no	—
1071	C₄⋊C₄	—	4	1	no	—
1072	C₄⋊C₄	—	4	1	no	—
1073	C₄⋊C₄	—	4	1	no	—
1074	C₄⋊C₄	—	4	1	no	—
1075	C₄⋊C₄	—	4	1	no	—
1076	C₄⋊C₄	—	4	1	no	—
1077	C₄⋊C₄	—	4	1	no	—
1078	C₄⋊C₄	—	4	1	no	—
1079	C₄⋊C₄	—	43	4	no	—
1080	C₄⋊C₄	—	86	2	no	—
1081	C₄⋊C₄	—	86	2	no	—
1082	C₄⋊C₄	—	86	2	no	—
1083	C₄⋊C₄	—	86	2	no	—
1084	C₄⋊C₄	—	172	1	no	—
1085	C₄⋊C₄	—	172	1	no	—
1086	C₄⋊C₄	—	172	1	no	—
1087	C₄⋊C₄	—	172	1	no	—
1088	C₄⋊C₄	—	172	1	no	—
1089	C₄⋊C₄	—	172	1	no	—
1090	C₄⋊C₄	—	172	1	no	—
1091	C₄⋊C₄	—	172	1	no	—
1092	C₄⋊C₄	—	172	1	no	—
1093	C₄⋊C₄	—	172	1	no	—
1094	C₄⋊C₄	—	172	1	no	—
1095	C₄⋊C₄	—	172	1	no	—
1096	C₄⋊C₄	—	172	1	no	—
1097	C₄⋊C₄	—	172	1	no	—
1098	C₄⋊C₄	—	172	1	no	—
1099	C₄⋊C₄	—	172	1	no	—
1100	C₄⋊C₄	—	172	1	no	—
1101	C₄⋊C₄	—	172	1	no	—
1102	C₄⋊C₄	—	172	1	no	—
1103	C₄⋊C₄	—	172	1	no	—
1104	C₄⋊C₄	—	172	1	no	—
1105	C₄⋊C₄	—	172	1	no	—
1106	C₄⋊C₄	—	172	1	no	—
1107	C₄⋊C₄	—	172	1	no	—
1108	C₄⋊C₄	—	172	1	no	—
1109	C₄⋊C₄	—	172	1	no	—
1110	C₄⋊C₄	—	172	1	no	—
1111	C₄⋊C₄	—	172	1	no	—
1112	C₄⋊C₄	—	172	1	no	—
1113	C₄⋊C₄	—	172	1	no	—
1114	C₄⋊C₄	—	172	1	no	—
1115	C₄⋊C₄	—	172	1	no	—
1116	C₄⋊C₄	—	172	1	no	—
1117	C₄⋊C₄	—	172	1	no	—
1118	C₄⋊C₄	—	172	1	no	—
1119	C₄⋊C₄	—	172	1	no	—
1120	C₄⋊C₄	—	172	1	no	—
1121	C₄⋊C₄	—	172	1	no	—
1122	C₄⋊C₄	—	172	1	no	—
1123	C₄⋊C₄	—	172	1	no	—
1124	C₄⋊C₄	—	172	1	no	—
1125	C₂²⋊C₄	—	4	1	no	—
1126	C₂²⋊C₄	—	4	1	no	—
1127	C₂²⋊C₄	—	4	1	no	—
1128	C₂²⋊C₄	—	4	1	no	—
1129	C₂²⋊C₄	—	43	4	no	—
1130	C₂²⋊C₄	—	43	4	no	—
1131	C₂²⋊C₄	—	86	2	no	—
1132	C₂²⋊C₄	—	172	1	no	—
1133	C₂²⋊C₄	—	172	1	no	—
1134	C₂²⋊C₄	—	172	1	no	—
1135	C₂²⋊C₄	—	172	1	no	—
1136	C₂²⋊C₄	—	172	1	no	—
1137	C₂²⋊C₄	—	172	1	no	—
1138	C₂²⋊C₄	—	172	1	no	—
1139	C₂²⋊C₄	—	172	1	no	—
1140	C₂²⋊C₄	—	172	1	no	—
1141	C₂²⋊C₄	—	172	1	no	—
1142	C₂²⋊C₄	—	172	1	no	—
1143	C₂²⋊C₄	—	172	1	no	—
1144	C₂²⋊C₄	—	172	1	no	—
1145	C₂²⋊C₄	—	172	1	no	—
1146	C₂²⋊C₄	—	172	1	no	—
1147	C₄²	—	4	1	no	—
1148	C₄²	—	4	1	no	—
1149	C₄²	—	43	4	no	—
1150	C₄²	—	86	2	no	—
1151	C₄²	—	86	2	no	—
1152	C₄²	—	172	1	no	—
1153	C₄²	—	172	1	no	—
1154	C₄²	—	172	1	no	—
1155	C₄²	—	172	1	no	—
1156	C₄²	—	172	1	no	—
1157	C₄²	—	172	1	no	—
1158	C₄²	—	172	1	no	—
1159	C₄²	—	172	1	no	—
1160	C₂³	—	2	1	no	—
1161	C₂³	—	2	1	no	—
1162	C₂³	—	2	1	no	—
1163	C₂³	—	2	1	no	—
1164	C₂³	—	2	1	no	—
1165	C₂³	—	2	1	no	—
1166	C₂³	—	43	2	no	—
1167	C₂³	—	86	1	no	—
1168	C₂³	—	86	1	no	—
1169	C₂³	—	86	1	no	—
1170	C₂³	—	86	1	no	—
1171	C₂³	—	86	1	no	—
1172	C₂³	—	86	1	no	—
1173	C₂³	C₂×Q₈×D₄₃	1	2	yes	—
1174	C₂³	C₂⁴×D₄₃	1	1	yes	characteristic
1175	Q₈	—	344	2	no	—
1176	D₄	—	172	4	no	—
1177	C₂×C₄	—	2	1	no	—
1178	C₂×C₄	—	2	1	no	—
1179	C₂×C₄	—	2	1	no	—
1180	C₂×C₄	—	2	1	no	—
1181	C₂×C₄	—	2	1	no	—
1182	C₂×C₄	—	2	1	no	—
1183	C₂×C₄	—	2	1	no	—
1184	C₂×C₄	—	2	1	no	—
1185	C₂×C₄	—	2	1	no	—
1186	C₂×C₄	—	2	1	no	—
1187	C₂×C₄	—	2	1	no	—
1188	C₂×C₄	—	2	1	no	—
1189	C₂×C₄	—	2	1	no	—
1190	C₂×C₄	—	2	1	no	—
1191	C₂×C₄	—	2	1	no	—
1192	C₂×C₄	—	2	1	no	—
1193	C₂×C₄	—	2	1	no	—
1194	C₂×C₄	—	2	1	no	—
1195	C₂×C₄	—	2	1	no	—
1196	C₂×C₄	—	2	1	no	—
1197	C₂×C₄	—	2	1	no	—
1198	C₂×C₄	—	2	1	no	—
1199	C₂×C₄	—	2	1	no	—
1200	C₂×C₄	—	2	1	no	—
1201	C₂×C₄	—	2	1	no	—
1202	C₂×C₄	—	2	1	no	—
1203	C₂×C₄	—	2	1	no	—
1204	C₂×C₄	—	2	1	no	—
1205	C₂×C₄	—	2	1	no	—
1206	C₂×C₄	—	2	1	no	—
1207	C₂×C₄	—	2	1	no	—
1208	C₂×C₄	—	2	1	no	—
1209	C₂×C₄	—	2	1	no	—
1210	C₂×C₄	—	2	1	no	—
1211	C₂×C₄	—	2	1	no	—
1212	C₂×C₄	—	2	1	no	—
1213	C₂×C₄	—	2	1	no	—
1214	C₂×C₄	—	2	1	no	—
1215	C₂×C₄	—	2	1	no	—
1216	C₂×C₄	—	2	1	no	—
1217	C₂×C₄	—	4	4	no	—
1218	C₂×C₄	—	8	2	no	—
1219	C₂×C₄	—	8	2	no	—
1220	C₂×C₄	—	43	2	no	—
1221	C₂×C₄	—	43	2	no	—
1222	C₂×C₄	—	43	2	no	—
1223	C₂×C₄	—	43	2	no	—
1224	C₂×C₄	—	86	1	no	—
1225	C₂×C₄	—	86	1	no	—
1226	C₂×C₄	—	86	1	no	—
1227	C₂×C₄	—	86	1	no	—
1228	C₂×C₄	—	86	1	no	—
1229	C₂×C₄	—	86	1	no	—
1230	C₂×C₄	—	86	1	no	—
1231	C₂×C₄	—	86	1	no	—
1232	C₂×C₄	—	86	1	no	—
1233	C₂×C₄	—	86	1	no	—
1234	C₂×C₄	—	86	1	no	—
1235	C₂×C₄	—	86	1	no	—
1236	C₂×C₄	—	86	1	no	—
1237	C₂×C₄	—	86	1	no	—
1238	C₂×C₄	—	86	1	no	—
1239	C₂×C₄	—	86	1	no	—
1240	C₂×C₄	—	86	1	no	—
1241	C₂×C₄	—	86	1	no	—
1242	C₂×C₄	—	86	1	no	—
1243	C₂×C₄	—	86	1	no	—
1244	C₂×C₄	—	86	1	no	—
1245	C₂×C₄	—	86	1	no	—
1246	C₂×C₄	—	86	1	no	—
1247	C₂×C₄	—	86	1	no	—
1248	C₂×C₄	—	86	1	no	—
1249	C₂×C₄	—	86	1	no	—
1250	C₂×C₄	—	86	1	no	—
1251	C₂×C₄	—	86	1	no	—
1252	C₂×C₄	—	86	1	no	—
1253	C₂×C₄	—	86	1	no	—
1254	C₂×C₄	—	86	1	no	—
1255	C₂×C₄	—	86	1	no	—
1256	C₂×C₄	—	86	1	no	—
1257	C₂×C₄	—	86	1	no	—
1258	C₂×C₄	—	86	1	no	—
1259	C₂×C₄	—	86	1	no	—
1260	C₂×C₄	—	86	1	no	—
1261	C₂×C₄	—	86	1	no	—
1262	C₂×C₄	—	86	1	no	—
1263	C₂×C₄	—	86	1	no	—
1264	C₂×C₄	—	86	1	no	—
1265	C₂×C₄	—	172	4	no	—
1266	C₂×C₄	—	172	4	no	—
1267	C₂×C₄	—	172	4	no	—
1268	C₂×C₄	C₂×Q₈×D₄₃	1	2	yes	—
1269	C₂×C₄	C₂×Q₈×D₄₃	1	2	yes	—
1270	C₂²	—	2	2	no	—
1271	C₂²	—	2	2	no	—
1272	C₂²	—	2	2	no	—
1273	C₂²	—	4	1	no	—
1274	C₂²	—	4	1	no	—
1275	C₂²	—	4	1	no	—
1276	C₂²	—	4	1	no	—
1277	C₂²	—	86	2	no	—
1278	C₂²	—	86	2	no	—
1279	C₂²	—	86	2	no	—
1280	C₂²	—	172	1	no	—
1281	C₂²	—	172	1	no	—
1282	C₂²	—	172	1	no	—
1283	C₂²	—	172	1	no	—
1284	C₂²	C₂²×Q₈×D₄₃	1	1	yes	characteristic
1285	C₂²	H(5,𝔽₂)×D₄₃	1	1	yes	characteristic
1286	C₂²	#14583734	1	1	yes	characteristic
1287	C₂²	#14583735	1	1	yes	characteristic
1288	C₂²	#14583735	1	1	yes	characteristic
1289	C₂²	#14583735	1	1	yes	characteristic
1290	C₂²	#14583735	1	1	yes	characteristic
1291	C₄	—	2	2	no	—
1292	C₄	—	2	2	no	—
1293	C₄	—	4	1	no	—
1294	C₄	—	4	1	no	—
1295	C₄	—	4	1	no	—
1296	C₄	—	4	1	no	—
1297	C₄	—	4	1	no	—
1298	C₄	—	4	1	no	—
1299	C₄	—	4	1	no	—
1300	C₄	—	4	1	no	—
1301	C₄	—	4	1	no	—
1302	C₄	—	4	1	no	—
1303	C₄	—	4	1	no	—
1304	C₄	—	4	1	no	—
1305	C₄	—	86	2	no	—
1306	C₄	—	86	2	no	—
1307	C₄	—	86	2	no	—
1308	C₄	—	86	2	no	—
1309	C₄	—	172	1	no	—
1310	C₄	—	172	1	no	—
1311	C₄	—	172	1	no	—
1312	C₄	—	172	1	no	—
1313	C₄	—	172	1	no	—
1314	C₄	—	172	1	no	—
1315	C₄	—	172	1	no	—
1316	C₄	—	172	1	no	—
1317	C₄	—	172	1	no	—
1318	C₄	—	172	1	no	—
1319	C₄	—	172	1	no	—
1320	C₂	—	4	2	no	—
1321	C₂	—	172	2	no	—
1322	C₂	#19147998	1	1	yes	characteristic
1323	C₂	#19148395	1	1	yes	characteristic
1324	C₂	#19148419	1	1	yes	characteristic
1325	C₂	#19148760	1	1	yes	characteristic
1326	C₂	#19148845	1	1	yes	characteristic
1327	C₂	#19149253	1	1	yes	characteristic
1328	C₂	#19149279	1	1	yes	characteristic

	subgroup	G/H
center, Frattini	C₂³	C₂⁴×D₄₃
commutator, socle, cosocle	C₂³×C₄₃	C₂⁵
Fitting	C₄₃×#2569	C₂
prime radical	C₂²×C₂²⋊D₄₃	C₂³
hypercenter	#2569	D₄₃
hypocenter	C₄₃	#36756
LCS	G ▷ C₂³×C₄₃ ▷ C₄₃
UCS	C₁ ◁ C₂³ ◁ #2569

Complements

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

N	H ≅ G/N	type
1. #19142930	C₂	semidirect
2. #19142902	C₂	semidirect
3. #19142568	C₂	semidirect
4. #19142506	C₂	semidirect
5. #19142379	C₂	semidirect
6. #19142364	C₂	semidirect
7. #19142359	C₂	semidirect
10. #19142074	C₂	semidirect
11. #19142073	C₂	semidirect
12. #19142070	C₂	semidirect
13. #19141909	C₂	semidirect
16. #19141543	C₂	semidirect
17. #19141468	C₂	semidirect
18. #19141253	C₂	semidirect
19. #19140795	C₂	semidirect
20. #19140795	C₂	semidirect
21. #19140305	C₂	semidirect
22. #19140262	C₂	semidirect
23. #19140254	C₂	semidirect
24. #19140251	C₂	semidirect
25. #19139828	C₂	semidirect
26. #19138309	C₂	semidirect
27. #19138271	C₂	semidirect
31. C₄₃×#2569	C₂	semidirect
196. C₄×C₂²⋊D₄₃	Q₈	semidirect
681. #2569	D₄₃	semidirect
851. C₄₃	#36756	semidirect

Maximal subgroups

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

subgroup	index
#19142930	2
#19142902	2
#19142568	2
#19142506	2
#19142379	2
#19142364	2
#19142359	2
#19142239	2
#19142238	2
#19142074	2
#19142073	2
#19142070	2
#19141909	2
#19141805	2
#19141614	2
#19141543	2
#19141468	2
#19141253	2
#19140795	2
#19140305	2
#19140262	2
#19140254	2
#19140251	2
#19139828	2
#19138309	2
#19138271	2
#19137237	2
#19137229	2
#19137041	2
C₄₃×#2569	2
#36756	43