Subgroups — #25269704

Order 11008.

1880 conjugacy classes of subgroups.

The subgroup lattice has 1408 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#19142975	C₂	1	1	yes	maximal, characteristic, complemented
2	#19142971	C₂	1	1	yes	maximal, characteristic, complemented
3	#19142946	C₂	1	1	yes	maximal, characteristic, complemented
4	#19142930	C₂	1	1	yes	maximal, characteristic, complemented
5	#19140774	C₂	1	1	yes	maximal, characteristic, complemented
6	#19140771	C₂	1	1	yes	maximal, characteristic, complemented
7	#19140769	C₂	1	1	yes	maximal, characteristic, complemented
8	#19140002	C₂	1	1	yes	maximal, characteristic, complemented
9	#19140000	C₂	1	1	yes	maximal, characteristic, complemented
10	#19139872	C₂	1	1	yes	maximal, characteristic, complemented
11	#19139864	C₂	1	1	yes	maximal, characteristic, complemented
12	#19139163	C₂	1	1	yes	maximal, characteristic, complemented
13	#19139099	C₂	1	1	yes	maximal, characteristic, complemented
14	#19139097	C₂	1	1	yes	maximal, characteristic, complemented
15	#19138964	C₂	1	1	yes	maximal, characteristic, complemented
16	#19138422	C₂	1	1	yes	maximal, characteristic
17	#19138420	C₂	1	1	yes	maximal, characteristic
18	#19138364	C₂	1	1	yes	maximal, characteristic, complemented
19	#19138292	C₂	1	1	yes	maximal, characteristic, complemented
20	#19138234	C₂	1	1	yes	maximal, characteristic, complemented
21	#19138189	C₂	1	1	yes	maximal, characteristic, complemented
22	#19138041	C₂	1	1	yes	maximal, characteristic
23	#19137955	C₂	1	1	yes	maximal, characteristic
24	#19137329	C₂	1	1	yes	maximal, characteristic, complemented
25	#19137324	C₂	1	1	yes	maximal, characteristic, complemented
26	#19137231	C₂	1	1	yes	maximal, characteristic
27	#19137226	C₂	1	1	yes	maximal, characteristic
28	#19137129	C₂	1	1	yes	maximal, characteristic, complemented
29	#391×D₄₃	C₂	1	1	yes	maximal, characteristic, complemented
30	C₄×#13063287	C₂	1	1	yes	maximal, characteristic
31	C₄₃×#2666	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂²×Q₈×D₄₃	C₂²	1	1	yes	characteristic
33	C₂×#13063324	C₂²	1	1	yes	characteristic
34	C₂×#13063324	C₂²	1	1	yes	characteristic
35	C₂×#13063324	C₂²	1	1	yes	characteristic
36	C₂×#13063305	C₂²	1	1	yes	characteristic
37	C₂×#13063303	C₂²	1	1	yes	characteristic
38	C₂×#13063303	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
42	C₂×#13063290	C₂²	1	1	yes	characteristic
43	C₂×C₄×D₁₇₂	C₂²	1	1	yes	characteristic
44	C₂×#13063287	C₂²	1	1	yes	characteristic
45	C₂×#13063287	C₂²	1	1	yes	characteristic
46	C₂×C₄⋊C₄×D₄₃	C₂²	1	1	yes	characteristic
47	C₂×C₄²×D₄₃	C₂²	1	1	yes	characteristic
48	C₂×C₄²×D₄₃	C₂²	1	1	yes	characteristic
49	#14582841	C₂²	1	1	yes	characteristic
50	#14582840	C₂²	1	1	yes	characteristic
51	#14582840	C₂²	1	1	yes	characteristic
52	#14582839	C₂²	1	1	yes	characteristic
53	#14582838	C₂²	1	1	yes	characteristic
54	#14582837	C₂²	1	1	yes	characteristic
55	#14582833	C₂²	1	1	yes	characteristic
56	#14582832	C₂²	1	1	yes	characteristic
57	#14582832	C₂²	1	1	yes	characteristic
58	#14582831	C₂²	1	1	yes	characteristic
59	#14582823	C₂²	1	1	yes	characteristic
60	#14582821	C₂²	1	1	yes	characteristic
61	#14582821	C₂²	1	1	yes	characteristic
62	#14582821	C₂²	1	1	yes	characteristic
63	#14582820	C₂²	1	1	yes	characteristic
64	#14582820	C₂²	1	1	yes	characteristic
65	#14582819	C₂²	1	1	yes	characteristic
66	#14582819	C₂²	1	1	yes	characteristic
67	#14582819	C₂²	1	1	yes	characteristic
68	#14582818	C₂²	1	1	yes	characteristic
69	#14582812	C₂²	1	1	yes	characteristic
70	#14582812	C₂²	1	1	yes	characteristic
71	#14582812	C₂²	1	1	yes	characteristic
72	#14582810	C₂²	1	1	yes	characteristic
73	#14582806	C₂²	1	1	yes	characteristic
74	#14582805	C₂²	1	1	yes	characteristic
75	#14582804	C₂²	1	1	yes	characteristic
76	#14582804	C₂²	1	1	yes	characteristic
77	#14582803	C₂²	1	1	yes	characteristic
78	#14582803	C₂²	1	1	yes	characteristic
79	#14582803	C₂²	1	1	yes	characteristic
80	#14582803	C₂²	1	1	yes	characteristic
81	#14582803	C₂²	1	1	yes	characteristic
82	#14582803	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	#14582803	C₂²	1	1	yes	characteristic
87	#14582803	C₂²	1	1	yes	characteristic
88	#14582803	C₂²	1	1	yes	characteristic
89	#14582803	C₂²	1	1	yes	characteristic
90	#14582803	C₂²	1	1	yes	characteristic
91	#14582803	C₂²	1	1	yes	characteristic
92	#14582797	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	#14582795	C₂²	1	1	yes	characteristic
97	#14582794	C₂²	1	1	yes	characteristic
98	#14582794	C₂²	1	1	yes	characteristic
99	#14582794	C₂²	1	1	yes	characteristic
100	#14582794	C₂²	1	1	yes	characteristic
101	#14582791	C₂²	1	1	yes	characteristic
102	#14582791	C₂²	1	1	yes	characteristic
103	#14582789	C₂²	1	1	yes	characteristic
104	#14582789	C₂²	1	1	yes	characteristic
105	#14582786	C₂²	1	1	yes	characteristic
106	#14582786	C₂²	1	1	yes	characteristic
107	#14582786	C₂²	1	1	yes	characteristic
108	#14582785	C₂²	1	1	yes	characteristic
109	#14582785	C₂²	1	1	yes	characteristic
110	#14582784	C₂²	1	1	yes	characteristic
111	#14582784	C₂²	1	1	yes	characteristic
112	#14582784	C₂²	1	1	yes	characteristic
113	#14582784	C₂²	1	1	yes	characteristic
114	#14582783	C₂²	1	1	yes	characteristic
115	#14582783	C₂²	1	1	yes	characteristic
116	#14582782	C₂²	1	1	yes	characteristic
117	#14582782	C₂²	1	1	yes	characteristic
118	#14582782	C₂²	1	1	yes	characteristic
119	#14582782	C₂²	1	1	yes	characteristic
120	#14582782	C₂²	1	1	yes	characteristic
121	#14582780	C₂²	1	1	yes	characteristic
122	#14582780	C₂²	1	1	yes	characteristic
123	#14582777	C₂²	1	1	yes	characteristic
124	#14582777	C₂²	1	1	yes	characteristic
125	#14582777	C₂²	1	1	yes	characteristic
126	#14582777	C₂²	1	1	yes	characteristic
127	#14582773	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	#14582770	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	#14582770	C₂²	1	1	yes	characteristic
138	#14582770	C₂²	1	1	yes	characteristic
139	#14582768	C₂²	1	1	yes	characteristic
140	#14582767	C₂²	1	1	yes	characteristic
141	#14582765	C₂²	1	1	yes	characteristic
142	#14582764	C₂²	1	1	yes	characteristic
143	#14582764	C₂²	1	1	yes	characteristic
144	#14582761	C₂²	1	1	yes	characteristic
145	#14582761	C₂²	1	1	yes	characteristic
146	#14582758	C₂²	1	1	yes	characteristic
147	#14582758	C₂²	1	1	yes	characteristic
148	#14582758	C₂²	1	1	yes	characteristic
149	#14582758	C₂²	1	1	yes	characteristic
150	#14582758	C₂²	1	1	yes	characteristic
151	#14582756	C₂²	1	1	yes	characteristic
152	#14582756	C₂²	1	1	yes	characteristic
153	#14582756	C₂²	1	1	yes	characteristic
154	C₄⋊C₄×Dic₄₃	C₂²	1	1	yes	characteristic
155	C₄⋊C₄×Dic₄₃	C₂²	1	1	yes	characteristic
156	C₄⋊C₄×Dic₄₃	C₂²	1	1	yes	characteristic
157	#14582750	C₂²	1	1	yes	characteristic
158	#14582750	C₂²	1	1	yes	characteristic
159	C₄×(C₂×D₄₃)⋊C₄	C₂²	1	1	yes	characteristic
160	C₄×(C₂×D₄₃)⋊C₄	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	#95×D₄₃	C₂²	1	1	yes	characteristic
168	#95×D₄₃	C₂²	1	1	yes	characteristic
169	#95×D₄₃	C₂²	1	1	yes	characteristic
170	#95×D₄₃	C₂²	1	1	yes	characteristic
171	C₄²×Dic₄₃	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×#398	C₂²	1	1	yes	characteristic
177	C₄₃×#398	C₂²	1	1	yes	characteristic
178	C₄₃×#395	C₂²	1	1	yes	characteristic
179	C₄₃×#395	C₂²	1	1	yes	characteristic
180	C₄₃×#391	C₂²	1	1	yes	characteristic
181	C₄₃×#389	C₂²	1	1	yes	characteristic
182	C₄₃×#387	C₂²	1	1	yes	characteristic
183	C₄₃×#387	C₂²	1	1	yes	characteristic
184	C₄₃×#383	C₂²	1	1	yes	characteristic
185	C₄₃×#382	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×Dic₈₆	C₂³	1	1	yes	characteristic
189	C₂²×Dic₈₆	C₂³	1	1	yes	characteristic
190	C₂²×Dic₈₆	C₂³	1	1	yes	characteristic
191	C₂²×Dic₈₆	C₂³	1	1	yes	characteristic
192	C₂²×Dic₈₆	C₂³	1	1	yes	characteristic
193	C₂×Q₈×D₄₃	—	2	4	no	—
194	C₂×Q₈×D₄₃	—	4	2	no	—
195	C₂×Q₈×D₄₃	—	4	2	no	—
196	C₂²×D₁₇₂	C₂³	1	1	yes	characteristic
197	C₂²×C₄×D₄₃	C₂³	1	1	yes	characteristic
198	C₂²×C₄×D₄₃	C₂³	1	1	yes	characteristic
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	C₂²×C₄×D₄₃	C₂³	1	1	yes	characteristic
205	C₂²×C₄×D₄₃	C₂³	1	1	yes	characteristic
206	C₂²×C₄×D₄₃	C₂³	1	1	yes	characteristic
207	#13063324	—	4	2	no	—
208	#13063324	—	4	2	no	—
209	#13063324	—	4	2	no	—
210	#13063305	—	2	4	no	—
211	#13063303	—	2	4	no	—
212	#13063303	—	2	4	no	—
213	#13063303	—	4	2	no	—
214	#13063303	—	4	2	no	—
215	#13063303	—	4	2	no	—
216	#13063290	—	4	2	no	—
217	C₄×D₁₇₂	Q₈	1	8	yes	complemented
218	#13063287	—	2	4	no	—
219	#13063287	—	2	4	no	—
220	C₂×C₄⋊Dic₄₃	C₂³	1	1	yes	characteristic
221	C₂×C₄⋊Dic₄₃	C₂³	1	1	yes	characteristic
222	C₂×C₄⋊Dic₄₃	C₂³	1	1	yes	characteristic
223	C₂×C₄⋊Dic₄₃	C₂³	1	1	yes	characteristic
224	C₂×C₄⋊Dic₄₃	C₂³	1	1	yes	characteristic
225	C₂×C₄⋊Dic₄₃	C₂³	1	1	yes	characteristic
226	C₂×C₄⋊Dic₄₃	C₂³	1	1	yes	characteristic
227	C₂×C₄⋊Dic₄₃	C₂³	1	1	yes	characteristic
228	C₂×C₄⋊Dic₄₃	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×Dic₄₃⋊C₄	C₂³	1	1	yes	characteristic
245	C₂×Dic₄₃⋊C₄	C₂³	1	1	yes	characteristic
246	C₂×Dic₄₃⋊C₄	C₂³	1	1	yes	characteristic
247	C₂×Dic₄₃⋊C₄	C₂³	1	1	yes	characteristic
248	C₂×Dic₄₃⋊C₄	C₂³	1	1	yes	characteristic
249	C₄⋊C₄×D₄₃	—	4	2	no	—
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×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	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	C₄²×D₄₃	—	4	2	no	—
283	C₄²×D₄₃	—	4	2	no	—
284	C₄₃⋊#95	C₂³	1	1	yes	characteristic
285	C₄₃⋊#95	C₂³	1	1	yes	characteristic
286	C₄₃⋊#95	C₂³	1	1	yes	characteristic
287	C₄₃⋊#95	C₂³	1	1	yes	characteristic
288	C₄₃⋊#95	C₂³	1	1	yes	characteristic
289	C₄₃⋊#95	C₂³	1	1	yes	characteristic
290	C₄₃⋊#95	C₂³	1	1	yes	characteristic
291	C₄₃⋊#95	C₂³	1	1	yes	characteristic
292	C₄₃⋊#95	C₂³	1	1	yes	characteristic
293	C₄₃⋊#95	C₂³	1	1	yes	characteristic
294	C₄₃⋊#95	C₂³	1	1	yes	characteristic
295	C₄₃⋊#95	C₂³	1	1	yes	characteristic
296	C₄₃⋊#95	C₂³	1	1	yes	characteristic
297	C₄₃⋊#95	C₂³	1	1	yes	characteristic
298	C₄₃⋊#95	C₂³	1	1	yes	characteristic
299	C₄₃⋊#95	C₂³	1	1	yes	characteristic
300	C₄₃⋊#95	C₂³	1	1	yes	characteristic
301	C₄₃⋊#95	C₂³	1	1	yes	characteristic
302	C₄₃⋊#95	C₂³	1	1	yes	characteristic
303	C₄₃⋊#95	C₂³	1	1	yes	characteristic
304	C₄₃⋊#95	C₂³	1	1	yes	characteristic
305	C₄₃⋊#95	C₂³	1	1	yes	characteristic
306	C₄₃⋊#95	C₂³	1	1	yes	characteristic
307	C₄₃⋊#95	C₂³	1	1	yes	characteristic
308	C₄₃⋊#95	C₂³	1	1	yes	characteristic
309	C₄₃⋊#95	C₂³	1	1	yes	characteristic
310	C₄₃⋊#95	C₂³	1	1	yes	characteristic
311	C₄₃⋊#95	C₂³	1	1	yes	characteristic
312	C₄₃⋊#95	C₂³	1	1	yes	characteristic
313	C₄₃⋊#95	C₂³	1	1	yes	characteristic
314	C₄₃⋊#95	C₂³	1	1	yes	characteristic
315	C₄₃⋊#95	C₂³	1	1	yes	characteristic
316	C₄₃⋊#95	C₂³	1	1	yes	characteristic
317	C₄₃⋊#95	C₂³	1	1	yes	characteristic
318	C₄₃⋊#95	C₂³	1	1	yes	characteristic
319	C₄₃⋊#95	C₂³	1	1	yes	characteristic
320	C₄₃⋊#95	C₂³	1	1	yes	characteristic
321	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	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×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×C₄²×C₄₃	C₂³	1	1	yes	characteristic
341	C₂×C₄²×C₄₃	C₂³	1	1	yes	characteristic
342	C₂×C₄²×C₄₃	C₂³	1	1	yes	characteristic
343	#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	#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	C₂³×D₄₃	C₂⁴	1	1	yes	characteristic
362	C₂³×D₄₃	C₂⁴	1	1	yes	characteristic
363	C₂×Q₈×C₄₃	—	2	2	no	—
364	C₂×Q₈×C₄₃	—	4	1	no	—
365	C₂×Q₈×C₄₃	—	4	1	no	—
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×C₄×C₄₃	C₂⁴	1	1	yes	characteristic
376	C₂²×C₄×C₄₃	C₂⁴	1	1	yes	characteristic
377	C₂²×C₄×C₄₃	C₂⁴	1	1	yes	characteristic
378	C₂²×C₄×C₄₃	C₂⁴	1	1	yes	characteristic
379	C₂²×C₄×C₄₃	C₂⁴	1	1	yes	characteristic
380	C₂²×C₄×C₄₃	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	C₂²×Dic₄₃	C₂⁴	1	1	yes	characteristic
393	C₂²×Dic₄₃	C₂⁴	1	1	yes	characteristic
394	C₂²×Dic₄₃	C₂⁴	1	1	yes	characteristic
395	Q₈×D₄₃	—	4	16	no	—
396	C₂×D₁₇₂	—	2	2	no	—
397	C₂×D₁₇₂	—	2	2	no	—
398	C₂×D₁₇₂	C₂×Q₈	1	4	yes	—
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	—	2	2	no	—
409	C₂×C₄×D₄₃	—	2	2	no	—
410	C₂×C₄×D₄₃	—	2	2	no	—
411	C₂×C₄×D₄₃	—	2	2	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	—	4	1	no	—
417	C₂×C₄×D₄₃	—	4	1	no	—
418	C₂×C₄×D₄₃	—	4	1	no	—
419	C₂×C₄×D₄₃	—	4	1	no	—
420	C₂×C₄×D₄₃	—	4	1	no	—
421	C₂×C₄×D₄₃	—	4	1	no	—
422	C₂×C₄×D₄₃	—	4	1	no	—
423	C₂×C₄×D₄₃	—	4	1	no	—
424	C₂×C₄×D₄₃	—	4	1	no	—
425	C₂×C₄×D₄₃	—	4	1	no	—
426	C₂×C₄×D₄₃	C₂×Q₈	1	4	yes	—
427	C₂×C₄×D₄₃	C₂×Q₈	1	4	yes	complemented
428	C₂×C₄×D₄₃	#41	1	4	yes	—
429	C₂×Dic₈₆	—	2	2	no	—
430	C₂×Dic₈₆	—	2	2	no	—
431	C₂×Dic₈₆	—	2	2	no	—
432	C₂×Dic₈₆	—	2	2	no	—
433	C₂×Dic₈₆	—	2	2	no	—
434	C₂×Dic₈₆	—	2	2	no	—
435	C₂×Dic₈₆	—	2	2	no	—
436	C₂×Dic₈₆	—	2	2	no	—
437	C₂×Dic₈₆	—	2	2	no	—
438	C₂×Dic₈₆	—	2	2	no	—
439	C₂×Dic₈₆	—	2	2	no	—
440	C₂×Dic₈₆	—	2	2	no	—
441	C₂×Dic₈₆	—	4	1	no	—
442	C₂×Dic₈₆	—	4	1	no	—
443	C₂×Dic₈₆	—	4	1	no	—
444	C₂×Dic₈₆	—	4	1	no	—
445	C₂×Dic₈₆	—	4	1	no	—
446	C₂×Dic₈₆	—	4	1	no	—
447	C₄⋊C₄×C₄₃	—	2	2	no	—
448	C₄⋊C₄×C₄₃	—	2	2	no	—
449	C₄⋊C₄×C₄₃	—	2	2	no	—
450	C₄⋊C₄×C₄₃	—	2	2	no	—
451	C₄⋊C₄×C₄₃	—	2	2	no	—
452	C₄⋊C₄×C₄₃	—	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	C₄²×C₄₃	—	4	1	no	—
461	C₄²×C₄₃	—	4	1	no	—
462	C₄²×C₄₃	C₂×Q₈	1	4	yes	complemented
463	(C₂×D₄₃)⋊C₄	—	2	2	no	—
464	(C₂×D₄₃)⋊C₄	—	2	2	no	—
465	(C₂×D₄₃)⋊C₄	—	2	2	no	—
466	(C₂×D₄₃)⋊C₄	—	2	2	no	—
467	(C₂×D₄₃)⋊C₄	—	2	2	no	—
468	(C₂×D₄₃)⋊C₄	—	2	2	no	—
469	(C₂×D₄₃)⋊C₄	—	2	2	no	—
470	(C₂×D₄₃)⋊C₄	—	4	1	no	—
471	(C₂×D₄₃)⋊C₄	—	4	1	no	—
472	(C₂×D₄₃)⋊C₄	—	4	1	no	—
473	(C₂×D₄₃)⋊C₄	—	4	1	no	—
474	(C₂×D₄₃)⋊C₄	—	4	1	no	—
475	(C₂×D₄₃)⋊C₄	—	4	1	no	—
476	(C₂×D₄₃)⋊C₄	—	4	1	no	—
477	(C₂×D₄₃)⋊C₄	—	4	1	no	—
478	(C₂×D₄₃)⋊C₄	C₂×Q₈	1	4	yes	—
479	(C₂×D₄₃)⋊C₄	C₂×Q₈	1	4	yes	complemented
480	(C₂×D₄₃)⋊C₄	#41	1	4	yes	—
481	C₄⋊Dic₄₃	—	2	2	no	—
482	C₄⋊Dic₄₃	—	2	2	no	—
483	C₄⋊Dic₄₃	—	2	2	no	—
484	C₄⋊Dic₄₃	—	4	1	no	—
485	C₄⋊Dic₄₃	—	4	1	no	—
486	C₄⋊Dic₄₃	—	4	1	no	—
487	C₄⋊Dic₄₃	—	4	1	no	—
488	C₄⋊Dic₄₃	—	4	1	no	—
489	C₄⋊Dic₄₃	C₂×Q₈	1	4	yes	complemented
490	Dic₄₃⋊C₄	—	2	2	no	—
491	Dic₄₃⋊C₄	—	2	2	no	—
492	Dic₄₃⋊C₄	—	2	2	no	—
493	Dic₄₃⋊C₄	—	2	2	no	—
494	Dic₄₃⋊C₄	—	2	2	no	—
495	Dic₄₃⋊C₄	—	2	2	no	—
496	Dic₄₃⋊C₄	—	2	2	no	—
497	Dic₄₃⋊C₄	—	2	2	no	—
498	Dic₄₃⋊C₄	—	2	2	no	—
499	Dic₄₃⋊C₄	—	4	1	no	—
500	Dic₄₃⋊C₄	—	4	1	no	—
501	Dic₄₃⋊C₄	—	4	1	no	—
502	Dic₄₃⋊C₄	—	4	1	no	—
503	Dic₄₃⋊C₄	—	4	1	no	—
504	Dic₄₃⋊C₄	—	4	1	no	—
505	Dic₄₃⋊C₄	—	4	1	no	—
506	Dic₄₃⋊C₄	—	4	1	no	—
507	Dic₄₃⋊C₄	—	4	1	no	—
508	Dic₄₃⋊C₄	—	4	1	no	—
509	Dic₄₃⋊C₄	—	4	1	no	—
510	C₄×Dic₄₃	—	2	2	no	—
511	C₄×Dic₄₃	—	2	2	no	—
512	C₄×Dic₄₃	—	2	2	no	—
513	C₄×Dic₄₃	—	2	2	no	—
514	C₄×Dic₄₃	—	2	2	no	—
515	C₄×Dic₄₃	—	2	2	no	—
516	C₄×Dic₄₃	—	2	2	no	—
517	C₄×Dic₄₃	—	4	1	no	—
518	C₄×Dic₄₃	—	4	1	no	—
519	C₄×Dic₄₃	—	4	1	no	—
520	C₄×Dic₄₃	—	4	1	no	—
521	C₄×Dic₄₃	—	4	1	no	—
522	C₄×Dic₄₃	—	4	1	no	—
523	C₄×Dic₄₃	—	4	1	no	—
524	C₂³×C₄₃	C₂⁵	1	1	yes	characteristic
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	—	2	1	no	—
534	C₂²×D₄₃	—	2	1	no	—
535	C₂²×D₄₃	C₂²×Q₈	1	2	yes	—
536	C₂²×D₄₃	C₂²×Q₈	1	2	yes	—
537	C₂²×D₄₃	C₂×#41	1	2	yes	—
538	C₂²×D₄₃	C₂×#41	1	2	yes	—
539	Q₈×C₄₃	—	4	4	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	—	2	1	no	—
578	C₂×C₄×C₄₃	—	2	1	no	—
579	C₂×C₄×C₄₃	—	2	1	no	—
580	C₂×C₄×C₄₃	C₂²×Q₈	1	2	yes	—
581	C₂×C₄×C₄₃	C₂²×Q₈	1	2	yes	—
582	C₂×C₄×C₄₃	C₂²×Q₈	1	2	yes	—
583	C₂×C₄×C₄₃	C₂×#41	1	2	yes	—
584	C₂×C₄×C₄₃	C₂×#41	1	2	yes	—
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	—	2	1	no	—
614	C₂×Dic₄₃	—	2	1	no	—
615	C₂×Dic₄₃	—	2	1	no	—
616	C₂×Dic₄₃	—	2	1	no	—
617	C₂×Dic₄₃	—	2	1	no	—
618	C₂×Dic₄₃	—	2	1	no	—
619	C₂×Dic₄₃	—	2	1	no	—
620	C₂×Dic₄₃	C₂²×Q₈	1	2	yes	—
621	C₂×Dic₄₃	C₂²×Q₈	1	2	yes	—
622	C₂×Dic₄₃	C₂×#41	1	2	yes	—
623	C₂×Dic₄₃	C₂×#41	1	2	yes	—
624	C₂×Dic₄₃	H(5,𝔽₂)	1	2	yes	—
625	C₂×Dic₄₃	H(5,𝔽₂)	1	2	yes	—
626	C₂×Dic₄₃	2₋¹⁺⁴	1	2	yes	—
627	D₁₇₂	—	2	8	no	—
628	C₄×D₄₃	—	2	8	no	—
629	C₄×D₄₃	—	4	4	no	—
630	C₄×D₄₃	—	4	4	no	—
631	C₄×D₄₃	—	4	4	no	—
632	C₄×D₄₃	—	4	4	no	—
633	C₄×D₄₃	—	4	4	no	—
634	C₄×D₄₃	—	4	4	no	—
635	C₄×D₄₃	—	4	4	no	—
636	C₄×D₄₃	—	8	2	no	—
637	C₄×D₄₃	—	8	2	no	—
638	Dic₈₆	—	4	4	no	—
639	Dic₈₆	—	4	4	no	—
640	Dic₈₆	—	4	4	no	—
641	Dic₈₆	—	4	4	no	—
642	Dic₈₆	—	8	2	no	—
643	Dic₈₆	—	8	2	no	—
644	#35016	—	43	1	no	maximal, Sylow
645	C₂²×C₄₃	C₂³×Q₈	1	1	yes	characteristic
646	C₂²×C₄₃	C₂²×#41	1	1	yes	characteristic
647	C₂²×C₄₃	C₂²×#41	1	1	yes	characteristic
648	C₂²×C₄₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
649	C₂²×C₄₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
650	C₂²×C₄₃	C₂×2₋¹⁺⁴	1	1	yes	characteristic
651	C₂²×C₄₃	#585	1	1	yes	characteristic
652	C₂×D₄₃	—	2	2	no	—
653	C₂×D₄₃	—	2	2	no	—
654	C₂×D₄₃	—	2	2	no	—
655	C₂×D₄₃	—	2	2	no	—
656	C₂×D₄₃	—	2	2	no	—
657	C₂×D₄₃	—	2	2	no	—
658	C₂×D₄₃	—	2	2	no	—
659	C₂×D₄₃	—	2	2	no	—
660	C₂×D₄₃	—	2	2	no	—
661	C₂×D₄₃	—	4	1	no	—
662	C₂×D₄₃	—	4	1	no	—
663	C₂×D₄₃	—	4	1	no	—
664	C₂×D₄₃	—	4	1	no	—
665	C₂×D₄₃	#533	1	4	yes	—
666	C₄×C₄₃	—	2	2	no	—
667	C₄×C₄₃	—	2	2	no	—
668	C₄×C₄₃	—	2	2	no	—
669	C₄×C₄₃	—	2	2	no	—
670	C₄×C₄₃	—	2	2	no	—
671	C₄×C₄₃	—	4	1	no	—
672	C₄×C₄₃	—	4	1	no	—
673	C₄×C₄₃	—	4	1	no	—
674	C₄×C₄₃	—	4	1	no	—
675	C₄×C₄₃	—	4	1	no	—
676	C₄×C₄₃	—	4	1	no	—
677	C₄×C₄₃	—	4	1	no	—
678	C₄×C₄₃	—	4	1	no	—
679	C₄×C₄₃	—	4	1	no	—
680	C₄×C₄₃	—	4	1	no	—
681	Dic₄₃	—	2	2	no	—
682	Dic₄₃	—	2	2	no	—
683	Dic₄₃	—	2	2	no	—
684	Dic₄₃	—	2	2	no	—
685	Dic₄₃	—	4	1	no	—
686	Dic₄₃	—	4	1	no	—
687	Dic₄₃	—	4	1	no	—
688	Dic₄₃	—	4	1	no	—
689	Dic₄₃	—	4	1	no	—
690	Dic₄₃	—	4	1	no	—
691	Dic₄₃	—	4	1	no	—
692	Dic₄₃	—	4	1	no	—
693	Dic₄₃	—	4	1	no	—
694	Dic₄₃	#538	1	4	yes	—
695	#2863	—	43	1	no	—
696	#2862	—	43	1	no	—
697	#2857	—	43	1	no	—
698	#2855	—	43	1	no	—
699	#2666	—	43	1	no	—
700	#2666	D₄₃	1	1	yes	characteristic, complemented
701	#2665	—	43	1	no	—
702	#2665	—	43	1	no	—
703	#2586	—	43	1	no	—
704	#2586	—	43	1	no	—
705	#2574	—	43	1	no	—
706	#2574	—	43	1	no	—
707	#2511	—	43	1	no	—
708	#2505	—	43	1	no	—
709	#2505	—	43	1	no	—
710	#2492	—	43	1	no	—
711	#2450	—	43	1	no	—
712	#2450	—	43	1	no	—
713	#2446	—	43	1	no	—
714	#2440	—	43	1	no	—
715	#2434	—	43	1	no	—
716	#2429	—	43	1	no	—
717	#2417	—	43	1	no	—
718	#2409	—	43	1	no	—
719	#2329	—	43	1	no	—
720	#2329	—	43	1	no	—
721	#2318	—	43	1	no	—
722	#2318	—	43	1	no	—
723	C₄×C₂²⋊Q₈	—	43	1	no	—
724	C₂×#391	—	43	1	no	—
725	C₄²×D₄	—	43	1	no	—
726	C₂×C₄₃	C₂×#533	1	1	yes	characteristic
727	C₂×C₄₃	C₂×#538	1	1	yes	characteristic
728	C₂×C₄₃	#3461	1	1	yes	characteristic
729	C₂×C₄₃	#3501	1	1	yes	characteristic
730	C₂×C₄₃	#3503	1	1	yes	characteristic
731	C₂×C₄₃	#3514	1	1	yes	characteristic
732	C₂×C₄₃	#3520	1	1	yes	characteristic
733	D₄₃	—	2	4	no	—
734	D₄₃	—	4	2	no	—
735	C₂³×Q₈	—	43	1	no	—
736	C₂×C₄⋊Q₈	—	43	1	no	—
737	C₂×C₄⋊Q₈	—	43	1	no	—
738	C₂×C₄⋊Q₈	—	43	1	no	—
739	C₂×C₂²⋊Q₈	—	43	1	no	—
740	C₂×C₂²⋊Q₈	—	43	1	no	—
741	C₂×C₂²⋊Q₈	—	43	1	no	—
742	C₂×C₂²⋊Q₈	—	43	1	no	—
743	C₂×C₂²⋊Q₈	—	43	1	no	—
744	C₂×C₂²⋊Q₈	—	43	1	no	—
745	C₂×C₄×Q₈	—	43	1	no	—
746	C₂×C₄×D₄	—	43	1	no	—
747	C₂×C₄×D₄	—	43	1	no	—
748	C₂×C₄×D₄	—	43	1	no	—
749	C₂²×C₄⋊C₄	—	43	1	no	—
750	C₂²×C₄²	—	43	1	no	—
751	C₂²×C₄²	—	43	1	no	—
752	#400	—	43	1	no	—
753	#400	—	43	1	no	—
754	#400	—	43	1	no	—
755	#400	—	43	1	no	—
756	#400	—	43	1	no	—
757	#400	—	43	1	no	—
758	#400	C₂×D₄₃	1	1	yes	characteristic
759	#400	C₂×D₄₃	1	1	yes	characteristic
760	#398	—	43	1	no	—
761	#398	—	43	1	no	—
762	#398	—	43	1	no	—
763	#398	—	43	1	no	—
764	#398	C₂×D₄₃	1	1	yes	characteristic
765	#398	C₂×D₄₃	1	1	yes	characteristic
766	#398	C₂×D₄₃	1	1	yes	characteristic
767	#398	C₂×D₄₃	1	1	yes	characteristic
768	#396	—	43	1	no	—
769	#396	—	43	1	no	—
770	#396	—	43	1	no	—
771	#396	—	43	1	no	—
772	#395	—	43	1	no	—
773	#395	—	43	1	no	—
774	#395	—	43	1	no	—
775	#395	—	43	1	no	—
776	#395	—	43	1	no	—
777	#395	—	43	1	no	—
778	#395	C₂×D₄₃	1	1	yes	characteristic
779	#395	C₂×D₄₃	1	1	yes	characteristic
780	#393	—	43	1	no	—
781	#393	—	43	1	no	—
782	#393	—	43	1	no	—
783	#393	—	43	1	no	—
784	#391	—	43	1	no	—
785	#391	—	43	1	no	—
786	#391	—	43	1	no	—
787	#391	—	43	1	no	—
788	#391	—	43	1	no	—
789	#391	—	43	1	no	—
790	#391	—	43	1	no	—
791	#391	—	43	1	no	—
792	#391	—	43	1	no	—
793	#391	—	43	1	no	—
794	#391	—	43	1	no	—
795	#391	—	43	1	no	—
796	#391	—	43	1	no	—
797	#391	—	43	1	no	—
798	#391	—	43	1	no	—
799	#391	—	43	1	no	—
800	#391	—	43	1	no	—
801	#391	—	43	1	no	—
802	#391	—	43	1	no	—
803	#391	C₂×D₄₃	1	1	yes	characteristic
804	#389	—	43	1	no	—
805	#389	—	43	1	no	—
806	#389	—	43	1	no	—
807	#389	—	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	C₂×D₄₃	1	1	yes	characteristic
814	#388	—	43	1	no	—
815	#388	—	43	1	no	—
816	#388	—	43	1	no	—
817	#388	—	43	1	no	—
818	#387	—	43	1	no	—
819	#387	—	43	1	no	—
820	#387	—	43	1	no	—
821	#387	—	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	—	43	1	no	—
831	#387	—	43	1	no	—
832	#387	—	43	1	no	—
833	#387	—	43	1	no	—
834	#387	—	43	1	no	—
835	#387	—	43	1	no	—
836	#387	C₂×D₄₃	1	1	yes	characteristic
837	#387	C₂×D₄₃	1	1	yes	characteristic
838	#386	—	43	1	no	—
839	#386	—	43	1	no	—
840	#386	—	43	1	no	—
841	#386	—	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	#385	—	43	1	no	—
848	#385	—	43	1	no	—
849	#385	—	43	1	no	—
850	#385	—	43	1	no	—
851	#385	—	43	1	no	—
852	#385	—	43	1	no	—
853	#385	—	43	1	no	—
854	#384	—	43	1	no	—
855	#383	—	43	1	no	—
856	#383	C₂×D₄₃	1	1	yes	characteristic
857	#382	—	43	1	no	—
858	#382	—	43	1	no	—
859	#382	—	43	1	no	—
860	#382	C₂×D₄₃	1	1	yes	characteristic
861	#381	—	43	1	no	—
862	#381	—	43	1	no	—
863	#380	—	43	1	no	—
864	#380	—	43	1	no	—
865	#380	—	43	1	no	—
866	#380	—	43	1	no	—
867	#380	—	43	1	no	—
868	#380	—	43	1	no	—
869	#380	—	43	1	no	—
870	#380	—	43	1	no	—
871	C₄×C₄⋊C₄	—	43	1	no	—
872	C₄×C₄⋊C₄	—	43	1	no	—
873	C₄×C₄⋊C₄	—	43	1	no	—
874	C₄×C₄⋊C₄	—	43	1	no	—
875	C₄×C₄⋊C₄	—	43	1	no	—
876	C₄×C₄⋊C₄	C₂×D₄₃	1	1	yes	characteristic
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	C₄×C₂²⋊C₄	—	43	1	no	—
882	C₄×C₂²⋊C₄	—	43	1	no	—
883	C₄×C₂²⋊C₄	—	43	1	no	—
884	C₄×C₂²⋊C₄	—	43	1	no	—
885	C₂×#95	—	43	1	no	—
886	C₂×#95	—	43	1	no	—
887	C₂×#95	—	43	1	no	—
888	C₂×#95	—	43	1	no	—
889	C₄³	—	43	1	no	—
890	C₄₃	#35016	1	1	yes	characteristic, complemented, Sylow
891	C₂²×Q₈	—	43	1	no	—
892	C₂²×Q₈	—	43	1	no	—
893	C₂²×Q₈	—	43	1	no	—
894	C₂²×Q₈	—	43	1	no	—
895	C₂²×Q₈	—	43	1	no	—
896	C₂²×Q₈	—	43	1	no	—
897	C₂²×Q₈	—	86	4	no	—
898	C₂²×Q₈	—	172	2	no	—
899	C₂²×Q₈	—	172	2	no	—
900	C₂²×Q₈	C₂²×D₄₃	1	1	yes	characteristic
901	C₂²×D₄	—	43	1	no	—
902	C₂³×C₄	—	43	1	no	—
903	C₂³×C₄	—	43	1	no	—
904	C₂³×C₄	—	43	1	no	—
905	C₂³×C₄	—	43	1	no	—
906	C₂³×C₄	—	43	1	no	—
907	C₂³×C₄	—	43	1	no	—
908	C₂³×C₄	—	43	1	no	—
909	C₂³×C₄	—	43	1	no	—
910	C₂³×C₄	—	43	1	no	—
911	C₂³×C₄	—	43	1	no	—
912	C₄⋊Q₈	—	172	2	no	—
913	C₄⋊Q₈	—	172	2	no	—
914	C₄⋊Q₈	—	172	2	no	—
915	C₂²⋊Q₈	—	86	4	no	—
916	C₂²⋊Q₈	—	86	4	no	—
917	C₂²⋊Q₈	—	86	4	no	—
918	C₂²⋊Q₈	—	172	2	no	—
919	C₂²⋊Q₈	—	172	2	no	—
920	C₂²⋊Q₈	—	172	2	no	—
921	C₄×Q₈	—	172	2	no	—
922	C₄×D₄	—	43	8	no	—
923	C₄×D₄	—	86	4	no	—
924	C₄×D₄	—	86	4	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	—	43	1	no	—
937	C₂×C₄⋊C₄	—	43	1	no	—
938	C₂×C₄⋊C₄	—	43	1	no	—
939	C₂×C₄⋊C₄	—	43	1	no	—
940	C₂×C₄⋊C₄	—	43	1	no	—
941	C₂×C₄⋊C₄	—	43	1	no	—
942	C₂×C₄⋊C₄	—	43	1	no	—
943	C₂×C₄⋊C₄	—	43	1	no	—
944	C₂×C₄⋊C₄	—	43	1	no	—
945	C₂×C₄⋊C₄	—	43	1	no	—
946	C₂×C₄⋊C₄	—	43	1	no	—
947	C₂×C₄⋊C₄	—	43	1	no	—
948	C₂×C₄⋊C₄	—	43	1	no	—
949	C₂×C₄⋊C₄	—	43	1	no	—
950	C₂×C₄⋊C₄	—	43	1	no	—
951	C₂×C₄⋊C₄	—	43	1	no	—
952	C₂×C₄⋊C₄	—	43	1	no	—
953	C₂×C₄⋊C₄	—	43	1	no	—
954	C₂×C₄⋊C₄	—	172	2	no	—
955	C₂×C₄⋊C₄	C₂²×D₄₃	1	1	yes	characteristic
956	C₂×C₄⋊C₄	C₂²×D₄₃	1	1	yes	characteristic
957	C₂×C₄⋊C₄	C₂²×D₄₃	1	1	yes	characteristic
958	C₂×C₄⋊C₄	C₂²×D₄₃	1	1	yes	characteristic
959	C₂×C₄⋊C₄	C₂²×D₄₃	1	1	yes	characteristic
960	C₂×C₄⋊C₄	C₂²×D₄₃	1	1	yes	characteristic
961	C₂×C₄⋊C₄	C₂²×D₄₃	1	1	yes	characteristic
962	C₂×C₄⋊C₄	C₂²×D₄₃	1	1	yes	characteristic
963	C₂×C₄⋊C₄	C₂²×D₄₃	1	1	yes	characteristic
964	C₂×C₄⋊C₄	C₂²×D₄₃	1	1	yes	characteristic
965	C₂×C₄⋊C₄	C₂²×D₄₃	1	1	yes	characteristic
966	C₂×C₄⋊C₄	C₂²×D₄₃	1	1	yes	characteristic
967	C₂×C₄⋊C₄	C₂²×D₄₃	1	1	yes	characteristic
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×C₂²⋊C₄	—	43	1	no	—
981	C₂×C₂²⋊C₄	—	43	1	no	—
982	C₂×C₂²⋊C₄	—	43	1	no	—
983	C₂×C₂²⋊C₄	—	43	1	no	—
984	C₂×C₂²⋊C₄	—	43	1	no	—
985	C₂×C₂²⋊C₄	—	43	1	no	—
986	C₂×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	—	43	1	no	—
998	C₂×C₄²	—	43	1	no	—
999	C₂×C₄²	—	43	1	no	—
1000	C₂×C₄²	—	172	2	no	—
1001	C₂×C₄²	—	172	2	no	—
1002	C₂×C₄²	C₂²×D₄₃	1	1	yes	characteristic
1003	C₂×C₄²	C₂²×D₄₃	1	1	yes	characteristic
1004	C₂×C₄²	C₂²×D₄₃	1	1	yes	characteristic
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	—	43	1	no	—
1035	#95	—	43	1	no	—
1036	#95	—	43	1	no	—
1037	#95	—	43	1	no	—
1038	#95	—	43	1	no	—
1039	#95	—	43	1	no	—
1040	#95	—	43	1	no	—
1041	#95	—	43	1	no	—
1042	#95	—	43	1	no	—
1043	#95	—	43	1	no	—
1044	#95	—	43	1	no	—
1045	#95	—	43	1	no	—
1046	#95	—	43	1	no	—
1047	#95	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	#95	C₂²×D₄₃	1	1	yes	characteristic
1055	#95	C₂²×D₄₃	1	1	yes	characteristic
1056	#95	C₂²×D₄₃	1	1	yes	characteristic
1057	#95	C₂²×D₄₃	1	1	yes	characteristic
1058	#95	C₂²×D₄₃	1	1	yes	characteristic
1059	#95	C₂²×D₄₃	1	1	yes	characteristic
1060	#95	C₂²×D₄₃	1	1	yes	characteristic
1061	#95	C₂²×D₄₃	1	1	yes	characteristic
1062	#95	C₂²×D₄₃	1	1	yes	characteristic
1063	#95	C₂²×D₄₃	1	1	yes	characteristic
1064	#95	C₂²×D₄₃	1	1	yes	characteristic
1065	C₂⁴	—	43	1	no	—
1066	C₂⁴	—	43	1	no	—
1067	C₂×Q₈	—	2	2	no	—
1068	C₂×Q₈	—	4	1	no	—
1069	C₂×Q₈	—	4	1	no	—
1070	C₂×Q₈	—	86	2	no	—
1071	C₂×Q₈	—	86	2	no	—
1072	C₂×Q₈	—	86	2	no	—
1073	C₂×Q₈	—	86	2	no	—
1074	C₂×Q₈	—	86	2	no	—
1075	C₂×Q₈	—	86	2	no	—
1076	C₂×Q₈	—	86	2	no	—
1077	C₂×Q₈	—	86	2	no	—
1078	C₂×Q₈	—	86	2	no	—
1079	C₂×Q₈	—	86	2	no	—
1080	C₂×Q₈	—	86	2	no	—
1081	C₂×Q₈	—	86	2	no	—
1082	C₂×Q₈	—	172	1	no	—
1083	C₂×Q₈	—	172	1	no	—
1084	C₂×Q₈	—	172	1	no	—
1085	C₂×Q₈	—	172	1	no	—
1086	C₂×Q₈	—	172	1	no	—
1087	C₂×Q₈	—	172	1	no	—
1088	C₂×Q₈	—	172	16	no	—
1089	C₂×D₄	—	43	4	no	—
1090	C₂×D₄	—	86	2	no	—
1091	C₂×D₄	—	86	2	no	—
1092	C₂²×C₄	—	43	1	no	—
1093	C₂²×C₄	—	43	1	no	—
1094	C₂²×C₄	—	43	1	no	—
1095	C₂²×C₄	—	43	1	no	—
1096	C₂²×C₄	—	43	1	no	—
1097	C₂²×C₄	—	43	4	no	—
1098	C₂²×C₄	—	43	4	no	—
1099	C₂²×C₄	—	43	4	no	—
1100	C₂²×C₄	—	43	1	no	—
1101	C₂²×C₄	—	43	1	no	—
1102	C₂²×C₄	—	43	1	no	—
1103	C₂²×C₄	—	43	1	no	—
1104	C₂²×C₄	—	43	1	no	—
1105	C₂²×C₄	—	43	1	no	—
1106	C₂²×C₄	—	43	1	no	—
1107	C₂²×C₄	—	43	1	no	—
1108	C₂²×C₄	—	43	1	no	—
1109	C₂²×C₄	—	86	2	no	—
1110	C₂²×C₄	—	86	2	no	—
1111	C₂²×C₄	—	86	2	no	—
1112	C₂²×C₄	—	86	2	no	—
1113	C₂²×C₄	—	86	2	no	—
1114	C₂²×C₄	—	86	2	no	—
1115	C₂²×C₄	—	86	2	no	—
1116	C₂²×C₄	—	86	2	no	—
1117	C₂²×C₄	—	86	2	no	—
1118	C₂²×C₄	—	86	2	no	—
1119	C₂²×C₄	—	86	2	no	—
1120	C₂²×C₄	—	86	2	no	—
1121	C₂²×C₄	—	86	2	no	—
1122	C₂²×C₄	—	172	1	no	—
1123	C₂²×C₄	—	172	1	no	—
1124	C₂²×C₄	—	172	1	no	—
1125	C₂²×C₄	—	172	1	no	—
1126	C₂²×C₄	—	172	1	no	—
1127	C₂²×C₄	—	172	1	no	—
1128	C₂²×C₄	—	172	1	no	—
1129	C₂²×C₄	—	172	1	no	—
1130	C₂²×C₄	—	172	1	no	—
1131	C₂²×C₄	—	172	1	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	C₂³×D₄₃	1	1	yes	characteristic
1137	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
1138	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
1139	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
1140	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
1141	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
1142	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
1143	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
1144	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
1145	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
1146	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
1147	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
1148	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
1149	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
1150	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
1151	C₄⋊C₄	—	2	2	no	—
1152	C₄⋊C₄	—	2	2	no	—
1153	C₄⋊C₄	—	2	2	no	—
1154	C₄⋊C₄	—	2	2	no	—
1155	C₄⋊C₄	—	2	2	no	—
1156	C₄⋊C₄	—	4	1	no	—
1157	C₄⋊C₄	—	4	1	no	—
1158	C₄⋊C₄	—	4	1	no	—
1159	C₄⋊C₄	—	4	1	no	—
1160	C₄⋊C₄	—	4	1	no	—
1161	C₄⋊C₄	—	4	1	no	—
1162	C₄⋊C₄	—	4	1	no	—
1163	C₄⋊C₄	—	4	1	no	—
1164	C₄⋊C₄	—	43	4	no	—
1165	C₄⋊C₄	—	86	2	no	—
1166	C₄⋊C₄	—	86	2	no	—
1167	C₄⋊C₄	—	86	2	no	—
1168	C₄⋊C₄	—	86	2	no	—
1169	C₄⋊C₄	—	86	2	no	—
1170	C₄⋊C₄	—	86	2	no	—
1171	C₄⋊C₄	—	86	2	no	—
1172	C₄⋊C₄	—	86	2	no	—
1173	C₄⋊C₄	—	86	2	no	—
1174	C₄⋊C₄	—	86	2	no	—
1175	C₄⋊C₄	—	86	2	no	—
1176	C₄⋊C₄	—	86	2	no	—
1177	C₄⋊C₄	—	172	1	no	—
1178	C₄⋊C₄	—	172	1	no	—
1179	C₄⋊C₄	—	172	1	no	—
1180	C₄⋊C₄	—	172	1	no	—
1181	C₄⋊C₄	—	172	1	no	—
1182	C₄⋊C₄	—	172	1	no	—
1183	C₄⋊C₄	—	172	1	no	—
1184	C₄⋊C₄	—	172	1	no	—
1185	C₄⋊C₄	—	172	1	no	—
1186	C₄⋊C₄	—	172	1	no	—
1187	C₄⋊C₄	—	172	1	no	—
1188	C₄⋊C₄	—	172	1	no	—
1189	C₄⋊C₄	—	172	1	no	—
1190	C₄⋊C₄	—	172	1	no	—
1191	C₄⋊C₄	—	172	1	no	—
1192	C₄⋊C₄	—	172	1	no	—
1193	C₂²⋊C₄	—	43	4	no	—
1194	C₂²⋊C₄	—	43	4	no	—
1195	C₂²⋊C₄	—	43	4	no	—
1196	C₂²⋊C₄	—	86	2	no	—
1197	C₂²⋊C₄	—	86	2	no	—
1198	C₂²⋊C₄	—	86	2	no	—
1199	C₂²⋊C₄	—	86	2	no	—
1200	C₂²⋊C₄	—	86	2	no	—
1201	C₂²⋊C₄	—	86	2	no	—
1202	C₂²⋊C₄	—	86	2	no	—
1203	C₂²⋊C₄	—	172	1	no	—
1204	C₂²⋊C₄	—	172	1	no	—
1205	C₂²⋊C₄	—	172	1	no	—
1206	C₂²⋊C₄	—	172	1	no	—
1207	C₂²⋊C₄	—	172	1	no	—
1208	C₂²⋊C₄	—	172	1	no	—
1209	C₂²⋊C₄	—	172	1	no	—
1210	C₂²⋊C₄	—	172	1	no	—
1211	C₄²	—	4	1	no	—
1212	C₄²	—	4	1	no	—
1213	C₄²	—	86	2	no	—
1214	C₄²	—	86	2	no	—
1215	C₄²	—	86	2	no	—
1216	C₄²	—	86	2	no	—
1217	C₄²	—	86	2	no	—
1218	C₄²	—	86	2	no	—
1219	C₄²	—	86	2	no	—
1220	C₄²	—	172	1	no	—
1221	C₄²	—	172	1	no	—
1222	C₄²	—	172	1	no	—
1223	C₄²	—	172	1	no	—
1224	C₄²	—	172	1	no	—
1225	C₄²	—	172	1	no	—
1226	C₄²	—	172	1	no	—
1227	C₄²	Q₈×D₄₃	1	4	yes	complemented
1228	C₂³	—	43	2	no	—
1229	C₂³	—	43	2	no	—
1230	C₂³	—	43	2	no	—
1231	C₂³	—	43	2	no	—
1232	C₂³	—	86	1	no	—
1233	C₂³	—	86	1	no	—
1234	C₂³	—	86	1	no	—
1235	C₂³	—	86	1	no	—
1236	C₂³	—	86	1	no	—
1237	C₂³	—	86	1	no	—
1238	C₂³	—	86	1	no	—
1239	C₂³	—	86	1	no	—
1240	C₂³	—	86	1	no	—
1241	C₂³	—	86	1	no	—
1242	C₂³	C₂⁴×D₄₃	1	1	yes	characteristic
1243	Q₈	—	4	4	no	—
1244	Q₈	—	344	2	no	—
1245	Q₈	—	344	2	no	—
1246	Q₈	—	172	4	no	—
1247	Q₈	—	172	4	no	—
1248	Q₈	—	172	4	no	—
1249	Q₈	—	172	4	no	—
1250	D₄	—	86	8	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	—	2	1	no	—
1279	C₂×C₄	—	2	1	no	—
1280	C₂×C₄	—	2	1	no	—
1281	C₂×C₄	—	2	1	no	—
1282	C₂×C₄	—	2	1	no	—
1283	C₂×C₄	—	2	1	no	—
1284	C₂×C₄	—	2	1	no	—
1285	C₂×C₄	—	2	1	no	—
1286	C₂×C₄	—	2	1	no	—
1287	C₂×C₄	—	2	1	no	—
1288	C₂×C₄	—	2	1	no	—
1289	C₂×C₄	—	2	1	no	—
1290	C₂×C₄	—	2	1	no	—
1291	C₂×C₄	—	43	2	no	—
1292	C₂×C₄	—	43	2	no	—
1293	C₂×C₄	—	43	2	no	—
1294	C₂×C₄	—	43	2	no	—
1295	C₂×C₄	—	43	2	no	—
1296	C₂×C₄	—	43	2	no	—
1297	C₂×C₄	—	43	2	no	—
1298	C₂×C₄	—	86	8	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	—	86	1	no	—
1319	C₂×C₄	—	86	1	no	—
1320	C₂×C₄	—	86	1	no	—
1321	C₂×C₄	—	86	1	no	—
1322	C₂×C₄	—	86	1	no	—
1323	C₂×C₄	—	86	1	no	—
1324	C₂×C₄	—	86	1	no	—
1325	C₂×C₄	—	86	1	no	—
1326	C₂×C₄	—	86	1	no	—
1327	C₂×C₄	—	86	1	no	—
1328	C₂×C₄	—	86	1	no	—
1329	C₂×C₄	—	86	1	no	—
1330	C₂×C₄	—	86	1	no	—
1331	C₂×C₄	—	86	1	no	—
1332	C₂×C₄	—	86	1	no	—
1333	C₂×C₄	—	86	1	no	—
1334	C₂×C₄	—	344	2	no	—
1335	C₂×C₄	—	344	2	no	—
1336	C₂×C₄	—	172	4	no	—
1337	C₂×C₄	—	172	4	no	—
1338	C₂×C₄	—	172	4	no	—
1339	C₂×C₄	—	172	4	no	—
1340	C₂×C₄	—	172	4	no	—
1341	C₂×C₄	—	172	4	no	—
1342	C₂×C₄	—	172	4	no	—
1343	C₂×C₄	C₂×Q₈×D₄₃	1	2	yes	—
1344	C₂×C₄	C₂×Q₈×D₄₃	1	2	yes	—
1345	C₂×C₄	C₂×Q₈×D₄₃	1	2	yes	—
1346	C₂×C₄	#41×D₄₃	1	2	yes	—
1347	C₂×C₄	#41×D₄₃	1	2	yes	—
1348	C₂²	—	43	4	no	—
1349	C₂²	—	86	2	no	—
1350	C₂²	—	86	2	no	—
1351	C₂²	—	86	2	no	—
1352	C₂²	—	86	2	no	—
1353	C₂²	—	86	2	no	—
1354	C₂²	—	86	2	no	—
1355	C₂²	—	86	2	no	—
1356	C₂²	—	86	2	no	—
1357	C₂²	—	86	2	no	—
1358	C₂²	—	172	1	no	—
1359	C₂²	—	172	1	no	—
1360	C₂²	—	172	1	no	—
1361	C₂²	—	172	1	no	—
1362	C₂²	C₂²×Q₈×D₄₃	1	1	yes	characteristic
1363	C₂²	C₂×#41×D₄₃	1	1	yes	characteristic
1364	C₂²	C₂×#41×D₄₃	1	1	yes	characteristic
1365	C₂²	H(5,𝔽₂)×D₄₃	1	1	yes	characteristic
1366	C₂²	H(5,𝔽₂)×D₄₃	1	1	yes	characteristic
1367	C₂²	2₋¹⁺⁴×D₄₃	1	1	yes	characteristic
1368	C₂²	#14583736	1	1	yes	characteristic
1369	C₄	—	2	2	no	—
1370	C₄	—	2	2	no	—
1371	C₄	—	2	2	no	—
1372	C₄	—	2	2	no	—
1373	C₄	—	2	2	no	—
1374	C₄	—	4	1	no	—
1375	C₄	—	4	1	no	—
1376	C₄	—	4	1	no	—
1377	C₄	—	4	1	no	—
1378	C₄	—	4	1	no	—
1379	C₄	—	4	1	no	—
1380	C₄	—	4	1	no	—
1381	C₄	—	4	1	no	—
1382	C₄	—	4	1	no	—
1383	C₄	—	4	1	no	—
1384	C₄	—	43	4	no	—
1385	C₄	—	86	2	no	—
1386	C₄	—	86	2	no	—
1387	C₄	—	86	2	no	—
1388	C₄	—	86	2	no	—
1389	C₄	—	172	1	no	—
1390	C₄	—	172	1	no	—
1391	C₄	—	172	1	no	—
1392	C₄	—	172	1	no	—
1393	C₄	—	172	1	no	—
1394	C₄	—	172	1	no	—
1395	C₄	—	172	1	no	—
1396	C₄	—	172	1	no	—
1397	C₄	—	172	1	no	—
1398	C₂	—	86	4	no	—
1399	C₂	—	172	2	no	—
1400	C₂	#533×D₄₃	1	1	yes	characteristic
1401	C₂	#538×D₄₃	1	1	yes	characteristic
1402	C₂	#19148027	1	1	yes	characteristic
1403	C₂	#19148397	1	1	yes	characteristic
1404	C₂	#19148410	1	1	yes	characteristic
1405	C₂	#19148554	1	1	yes	characteristic
1406	C₂	#19148636	1	1	yes	characteristic

	subgroup	G/H
center, Frattini	C₂³	C₂⁴×D₄₃
commutator, socle, cosocle	C₂³×C₄₃	C₂⁵
Fitting	C₄₃×#2666	C₂
prime radical	C₂²×D₁₇₂	C₂³
hypercenter	#2666	D₄₃
hypocenter	C₄₃	#35016
LCS	G ▷ C₂³×C₄₃ ▷ C₄₃
UCS	C₁ ◁ C₂³ ◁ #2666

Complements

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

N	H ≅ G/N	type
1. #19142975	C₂	semidirect
2. #19142971	C₂	semidirect
3. #19142946	C₂	semidirect
4. #19142930	C₂	semidirect
5. #19140774	C₂	semidirect
6. #19140771	C₂	semidirect
7. #19140769	C₂	semidirect
8. #19140002	C₂	semidirect
9. #19140000	C₂	semidirect
10. #19139872	C₂	semidirect
11. #19139864	C₂	semidirect
12. #19139163	C₂	semidirect
13. #19139099	C₂	semidirect
14. #19139097	C₂	semidirect
15. #19138964	C₂	semidirect
18. #19138364	C₂	semidirect
19. #19138292	C₂	semidirect
20. #19138234	C₂	semidirect
21. #19138189	C₂	semidirect
24. #19137329	C₂	semidirect
25. #19137324	C₂	semidirect
28. #19137129	C₂	semidirect
29. #391×D₄₃	C₂	semidirect
31. C₄₃×#2666	C₂	semidirect
217. C₄×D₁₇₂	Q₈	semidirect
427. C₂×C₄×D₄₃	C₂×Q₈	semidirect
462. C₄²×C₄₃	C₂×Q₈	semidirect
479. (C₂×D₄₃)⋊C₄	C₂×Q₈	semidirect
489. C₄⋊Dic₄₃	C₂×Q₈	semidirect
700. #2666	D₄₃	semidirect
890. C₄₃	#35016	semidirect
1227. C₄²	Q₈×D₄₃	semidirect

Maximal subgroups

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

subgroup	index
#19142975	2
#19142971	2
#19142946	2
#19142930	2
#19140774	2
#19140771	2
#19140769	2
#19140002	2
#19140000	2
#19139872	2
#19139864	2
#19139163	2
#19139099	2
#19139097	2
#19138964	2
#19138422	2
#19138420	2
#19138364	2
#19138292	2
#19138234	2
#19138189	2
#19138041	2
#19137955	2
#19137329	2
#19137324	2
#19137231	2
#19137226	2
#19137129	2
#391×D₄₃	2
C₄×#13063287	2
C₄₃×#2666	2
#35016	43