Subgroups — #25255523

Order 11008.

2202 conjugacy classes of subgroups.

The subgroup lattice has 1428 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×#14583432	C₂	1	1	yes	maximal, characteristic
2	#19137409	C₂	1	1	yes	maximal, characteristic, complemented
3	#19137402	C₂	1	1	yes	maximal, characteristic, complemented
4	#19137400	C₂	1	1	yes	maximal, characteristic, complemented
5	#19137393	C₂	1	1	yes	maximal, characteristic, complemented
6	#19137392	C₂	1	1	yes	maximal, characteristic, complemented
7	#19137388	C₂	1	1	yes	maximal, characteristic, complemented
8	#19137384	C₂	1	1	yes	maximal, characteristic, complemented
9	#19137380	C₂	1	1	yes	maximal, characteristic, complemented
10	#19137374	C₂	1	1	yes	maximal, characteristic, complemented
11	#19137370	C₂	1	1	yes	maximal, characteristic, complemented
12	#19137366	C₂	1	1	yes	maximal, characteristic, complemented
13	#19137358	C₂	1	1	yes	maximal, characteristic
14	#19137355	C₂	1	1	yes	maximal, characteristic
15	#19137349	C₂	1	1	yes	maximal, characteristic, complemented
16	#19137346	C₂	1	1	yes	maximal, characteristic, complemented
17	#19137089	C₂	1	1	yes	maximal, characteristic, complemented
18	#19137087	C₂	1	1	yes	maximal, characteristic, complemented
19	#19137068	C₂	1	1	yes	maximal, characteristic, complemented
20	#19137066	C₂	1	1	yes	maximal, characteristic, complemented
21	#19137055	C₂	1	1	yes	maximal, characteristic, complemented
22	#19137053	C₂	1	1	yes	maximal, characteristic, complemented
23	#19137037	C₂	1	1	yes	maximal, characteristic, complemented
24	#19137033	C₂	1	1	yes	maximal, characteristic, complemented
25	#19137031	C₂	1	1	yes	maximal, characteristic, complemented
26	#19137031	C₂	1	1	yes	maximal, characteristic, complemented
27	#19136988	C₂	1	1	yes	maximal, characteristic, complemented
28	C₄×#13063283	C₂	1	1	yes	maximal, characteristic, complemented
29	C₄×#13063283	C₂	1	1	yes	maximal, characteristic, complemented
30	C₄×#13063281	C₂	1	1	yes	maximal, characteristic, complemented
31	C₄₃×#2334	C₂	1	1	yes	maximal, characteristic, complemented
32	#14583432	C₄	1	16	yes	complemented
33	C₂×#13063319	C₂²	1	1	yes	characteristic
34	C₂×#13063315	C₂²	1	1	yes	characteristic
35	C₂×#13063311	C₂²	1	1	yes	characteristic
36	C₂×#13063310	C₂²	1	1	yes	characteristic
37	C₂×#13063307	C₂²	1	1	yes	characteristic
38	C₂×#13063303	C₂²	1	1	yes	characteristic
39	C₂×#13063298	C₂²	1	1	yes	characteristic
40	C₂×#13063290	C₂²	1	1	yes	characteristic
41	C₂×#13063287	C₂²	1	1	yes	characteristic
42	C₂×(C₂²⋊D₄₃)⋊C₄	C₂²	1	1	yes	characteristic
43	C₂×(C₂²⋊D₄₃)⋊C₄	C₂²	1	1	yes	characteristic
44	C₂×#13063283	C₂²	1	1	yes	characteristic
45	C₂×#13063283	C₂²	1	1	yes	characteristic
46	C₂×#13063283	C₂²	1	1	yes	characteristic
47	C₂×#13063283	C₂²	1	1	yes	characteristic
48	C₂×#13063281	C₂²	1	1	yes	characteristic
49	C₂×#13063281	C₂²	1	1	yes	characteristic
50	C₂²×C₄×Dic₄₃	C₂²	1	1	yes	characteristic
51	C₂×C₄²×D₄₃	C₂²	1	1	yes	characteristic
52	C₂×C₄²×D₄₃	C₂²	1	1	yes	characteristic
53	#14582805	C₂²	1	1	yes	characteristic
54	#14582804	C₂²	1	1	yes	characteristic
55	#14582803	C₂²	1	1	yes	characteristic
56	#14582803	C₂²	1	1	yes	characteristic
57	#14582801	C₂²	1	1	yes	characteristic
58	#14582800	C₂²	1	1	yes	characteristic
59	#14582799	C₂²	1	1	yes	characteristic
60	#14582799	C₂²	1	1	yes	characteristic
61	#14582798	C₂²	1	1	yes	characteristic
62	#14582798	C₂²	1	1	yes	characteristic
63	#14582796	C₂²	1	1	yes	characteristic
64	#14582796	C₂²	1	1	yes	characteristic
65	#14582794	C₂²	1	1	yes	characteristic
66	#14582794	C₂²	1	1	yes	characteristic
67	#14582793	C₂²	1	1	yes	characteristic
68	#14582792	C₂²	1	1	yes	characteristic
69	#14582792	C₂²	1	1	yes	characteristic
70	#14582792	C₂²	1	1	yes	characteristic
71	#14582791	C₂²	1	1	yes	characteristic
72	#14582791	C₂²	1	1	yes	characteristic
73	#14582791	C₂²	1	1	yes	characteristic
74	#14582791	C₂²	1	1	yes	characteristic
75	#14582791	C₂²	1	1	yes	characteristic
76	#14582790	C₂²	1	1	yes	characteristic
77	#14582790	C₂²	1	1	yes	characteristic
78	#14582790	C₂²	1	1	yes	characteristic
79	#14582789	C₂²	1	1	yes	characteristic
80	#14582789	C₂²	1	1	yes	characteristic
81	#14582789	C₂²	1	1	yes	characteristic
82	#14582789	C₂²	1	1	yes	characteristic
83	#14582789	C₂²	1	1	yes	characteristic
84	#14582788	C₂²	1	1	yes	characteristic
85	#14582788	C₂²	1	1	yes	characteristic
86	#14582788	C₂²	1	1	yes	characteristic
87	#14582787	C₂²	1	1	yes	characteristic
88	#14582786	C₂²	1	1	yes	characteristic
89	#14582786	C₂²	1	1	yes	characteristic
90	#14582786	C₂²	1	1	yes	characteristic
91	#14582786	C₂²	1	1	yes	characteristic
92	#14582786	C₂²	1	1	yes	characteristic
93	#14582785	C₂²	1	1	yes	characteristic
94	#14582785	C₂²	1	1	yes	characteristic
95	#14582785	C₂²	1	1	yes	characteristic
96	#14582784	C₂²	1	1	yes	characteristic
97	#14582783	C₂²	1	1	yes	characteristic
98	#14582783	C₂²	1	1	yes	characteristic
99	#14582783	C₂²	1	1	yes	characteristic
100	#14582782	C₂²	1	1	yes	characteristic
101	#14582781	C₂²	1	1	yes	characteristic
102	#14582781	C₂²	1	1	yes	characteristic
103	#14582781	C₂²	1	1	yes	characteristic
104	#14582780	C₂²	1	1	yes	characteristic
105	#14582780	C₂²	1	1	yes	characteristic
106	#14582780	C₂²	1	1	yes	characteristic
107	#14582780	C₂²	1	1	yes	characteristic
108	#14582780	C₂²	1	1	yes	characteristic
109	#14582778	C₂²	1	1	yes	characteristic
110	#14582778	C₂²	1	1	yes	characteristic
111	#14582777	C₂²	1	1	yes	characteristic
112	#14582777	C₂²	1	1	yes	characteristic
113	#14582776	C₂²	1	1	yes	characteristic
114	#14582776	C₂²	1	1	yes	characteristic
115	#14582775	C₂²	1	1	yes	characteristic
116	#14582775	C₂²	1	1	yes	characteristic
117	#14582774	C₂²	1	1	yes	characteristic
118	#14582774	C₂²	1	1	yes	characteristic
119	#14582773	C₂²	1	1	yes	characteristic
120	#14582773	C₂²	1	1	yes	characteristic
121	#14582770	C₂²	1	1	yes	characteristic
122	#14582770	C₂²	1	1	yes	characteristic
123	#14582766	C₂²	1	1	yes	characteristic
124	#14582766	C₂²	1	1	yes	characteristic
125	#14582765	C₂²	1	1	yes	characteristic
126	#14582761	C₂²	1	1	yes	characteristic
127	#14582761	C₂²	1	1	yes	characteristic
128	#14582756	C₂²	1	1	yes	characteristic
129	#14582756	C₂²	1	1	yes	characteristic
130	C₄⋊C₄×Dic₄₃	C₂²	1	1	yes	characteristic
131	C₄⋊C₄×Dic₄₃	C₂²	1	1	yes	characteristic
132	C₄⋊C₄×Dic₄₃	C₂²	1	1	yes	characteristic
133	C₄⋊C₄×Dic₄₃	C₂²	1	1	yes	characteristic
134	C₄⋊C₄×Dic₄₃	C₂²	1	1	yes	characteristic
135	C₄⋊C₄×Dic₄₃	C₂²	1	1	yes	characteristic
136	C₄⋊C₄×Dic₄₃	C₂²	1	1	yes	characteristic
137	C₄⋊C₄×Dic₄₃	C₂²	1	1	yes	characteristic
138	C₄×Dic₄₃⋊C₄	C₂²	1	1	yes	characteristic
139	C₄×Dic₄₃⋊C₄	C₂²	1	1	yes	characteristic
140	C₄×C₄⋊Dic₄₃	C₂²	1	1	yes	characteristic
141	C₄×C₄⋊Dic₄₃	C₂²	1	1	yes	characteristic
142	#14582750	C₂²	1	1	yes	characteristic
143	#14582750	C₂²	1	1	yes	characteristic
144	#14582750	C₂²	1	1	yes	characteristic
145	#14582750	C₂²	1	1	yes	characteristic
146	C₂²⋊C₄×Dic₄₃	C₂²	1	1	yes	characteristic
147	C₂²⋊C₄×Dic₄₃	C₂²	1	1	yes	characteristic
148	C₂²⋊C₄×Dic₄₃	C₂²	1	1	yes	characteristic
149	C₂²⋊C₄×Dic₄₃	C₂²	1	1	yes	characteristic
150	C₄×(C₂×D₄₃)⋊C₄	C₂²	1	1	yes	characteristic
151	C₄×(C₂×D₄₃)⋊C₄	C₂²	1	1	yes	characteristic
152	C₄×(C₂×D₄₃)⋊C₄	C₂²	1	1	yes	characteristic
153	C₄×(C₂×D₄₃)⋊C₄	C₂²	1	1	yes	characteristic
154	C₄×C₂²⋊Dic₄₃	C₂²	1	1	yes	characteristic
155	#14582746	C₂²	1	1	yes	characteristic
156	#14582746	C₂²	1	1	yes	characteristic
157	#14582746	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	#14582744	C₂²	1	1	yes	characteristic
164	#14582744	C₂²	1	1	yes	characteristic
165	#14582744	C₂²	1	1	yes	characteristic
166	#14582744	C₂²	1	1	yes	characteristic
167	#14582744	C₂²	1	1	yes	characteristic
168	#14582744	C₂²	1	1	yes	characteristic
169	C₄²×Dic₄₃	C₂²	1	1	yes	characteristic
170	C₄²×Dic₄₃	C₂²	1	1	yes	characteristic
171	C₄²×Dic₄₃	C₂²	1	1	yes	characteristic
172	C₄²×Dic₄₃	C₂²	1	1	yes	characteristic
173	C₂×#126×C₄₃	C₂²	1	1	yes	characteristic
174	C₄₃×#389	C₂²	1	1	yes	characteristic
175	C₄₃×#389	C₂²	1	1	yes	characteristic
176	C₄₃×#388	C₂²	1	1	yes	characteristic
177	C₄₃×#388	C₂²	1	1	yes	characteristic
178	C₄₃×#388	C₂²	1	1	yes	characteristic
179	C₄₃×#387	C₂²	1	1	yes	characteristic
180	C₄₃×#387	C₂²	1	1	yes	characteristic
181	C₄₃×#387	C₂²	1	1	yes	characteristic
182	C₄₃×#385	C₂²	1	1	yes	characteristic
183	C₄₃×#385	C₂²	1	1	yes	characteristic
184	C₄₃×#382	C₂²	1	1	yes	characteristic
185	C₄×C₄⋊C₄×C₄₃	C₂²	1	1	yes	characteristic
186	C₄×C₄⋊C₄×C₄₃	C₂²	1	1	yes	characteristic
187	C₄×C₂²⋊C₄×C₄₃	C₂²	1	1	yes	characteristic
188	C₂²×Dic₈₆	C₂³	1	1	yes	characteristic
189	C₂²×D₁₇₂	C₂³	1	1	yes	characteristic
190	C₂²×C₂²⋊D₄₃	C₂³	1	1	yes	characteristic
191	C₂²×C₂²⋊D₄₃	C₂³	1	1	yes	characteristic
192	C₂³×Dic₄₃	C₂³	1	1	yes	characteristic
193	C₂³×Dic₄₃	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	C₂²×C₄×D₄₃	C₂³	1	1	yes	characteristic
199	C₂²×C₄×D₄₃	C₂³	1	1	yes	characteristic
200	#13063319	C₂×C₄	1	8	yes	complemented
201	#13063315	C₂×C₄	1	8	yes	complemented
202	#13063311	C₂×C₄	1	8	yes	—
203	#13063310	C₂×C₄	1	8	yes	complemented
204	#13063307	C₂×C₄	1	8	yes	complemented
205	#13063303	C₂×C₄	1	8	yes	complemented
206	#13063298	C₂×C₄	1	8	yes	—
207	#13063290	C₂×C₄	1	8	yes	complemented
208	#13063287	C₂×C₄	1	8	yes	complemented
209	(C₂²⋊D₄₃)⋊C₄	C₂×C₄	1	8	yes	—
210	(C₂²⋊D₄₃)⋊C₄	C₂×C₄	1	8	yes	complemented
211	#13063283	—	2	4	no	—
212	#13063283	—	2	4	no	—
213	#13063283	—	2	4	no	—
214	#13063283	C₂×C₄	1	8	yes	complemented
215	#13063281	—	2	4	no	—
216	#13063281	C₂×C₄	1	8	yes	complemented
217	C₂×C₄⋊Dic₄₃	C₂³	1	1	yes	characteristic
218	C₂×C₄⋊Dic₄₃	C₂³	1	1	yes	characteristic
219	C₂×C₄⋊Dic₄₃	C₂³	1	1	yes	characteristic
220	C₂×C₄⋊Dic₄₃	C₂³	1	1	yes	characteristic
221	C₂×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×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×C₂²⋊Dic₄₃	C₂³	1	1	yes	characteristic
238	C₂×C₂²⋊Dic₄₃	C₂³	1	1	yes	characteristic
239	C₂×C₂²⋊Dic₄₃	C₂³	1	1	yes	characteristic
240	C₂×C₂²⋊Dic₄₃	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×C₄×Dic₄₃	—	2	4	no	—
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	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	C₂×C₄×Dic₄₃	C₂³	1	1	yes	characteristic
289	C₂×C₄×Dic₄₃	C₂³	1	1	yes	characteristic
290	C₄²×D₄₃	—	2	4	no	—
291	C₄²×D₄₃	C₂×C₄	1	8	yes	complemented
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	C₄₃⋊#95	C₂³	1	1	yes	characteristic
327	C₄₃⋊#95	C₂³	1	1	yes	characteristic
328	C₂³×C₄×C₄₃	C₂³	1	1	yes	characteristic
329	#126×C₄₃	C₂×C₄	1	8	yes	complemented
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×C₂²⋊C₄×C₄₃	C₂³	1	1	yes	characteristic
341	C₂×C₂²⋊C₄×C₄₃	C₂³	1	1	yes	characteristic
342	C₂×C₂²⋊C₄×C₄₃	C₂³	1	1	yes	characteristic
343	C₂×C₂²⋊C₄×C₄₃	C₂³	1	1	yes	characteristic
344	C₂×C₂²⋊C₄×C₄₃	C₂³	1	1	yes	characteristic
345	C₂×C₂²⋊C₄×C₄₃	C₂³	1	1	yes	characteristic
346	C₂×C₄²×C₄₃	C₂³	1	1	yes	characteristic
347	C₂×C₄²×C₄₃	C₂³	1	1	yes	characteristic
348	C₂×C₄²×C₄₃	C₂³	1	1	yes	characteristic
349	C₂×C₄²×C₄₃	C₂³	1	1	yes	characteristic
350	C₂×C₄²×C₄₃	C₂³	1	1	yes	characteristic
351	C₂×C₄²×C₄₃	C₂³	1	1	yes	characteristic
352	#95×C₄₃	C₂³	1	1	yes	characteristic
353	#95×C₄₃	C₂³	1	1	yes	characteristic
354	#95×C₄₃	C₂³	1	1	yes	characteristic
355	#95×C₄₃	C₂³	1	1	yes	characteristic
356	#95×C₄₃	C₂³	1	1	yes	characteristic
357	#95×C₄₃	C₂³	1	1	yes	characteristic
358	#95×C₄₃	C₂³	1	1	yes	characteristic
359	#95×C₄₃	C₂³	1	1	yes	characteristic
360	#95×C₄₃	C₂³	1	1	yes	characteristic
361	#95×C₄₃	C₂³	1	1	yes	characteristic
362	#95×C₄₃	C₂³	1	1	yes	characteristic
363	#95×C₄₃	C₂³	1	1	yes	characteristic
364	C₂⁴×C₄₃	C₂⁴	1	1	yes	characteristic
365	C₂³×D₄₃	C₂⁴	1	1	yes	characteristic
366	C₂³×D₄₃	C₂⁴	1	1	yes	characteristic
367	C₂²×C₄×C₄₃	—	2	2	no	—
368	C₂²×C₄×C₄₃	—	4	1	no	—
369	C₂²×C₄×C₄₃	—	4	1	no	—
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×C₄×C₄₃	C₂⁴	1	1	yes	characteristic
382	C₂²×C₄×C₄₃	C₂⁴	1	1	yes	characteristic
383	C₂²×C₄×C₄₃	C₂⁴	1	1	yes	characteristic
384	C₂×C₂²⋊D₄₃	—	4	1	no	—
385	C₂×C₂²⋊D₄₃	—	4	1	no	—
386	C₂×C₂²⋊D₄₃	—	4	1	no	—
387	C₂×C₂²⋊D₄₃	—	4	1	no	—
388	C₂×C₂²⋊D₄₃	C₂²×C₄	1	4	yes	—
389	C₂×C₂²⋊D₄₃	C₂²×C₄	1	4	yes	—
390	C₂²×Dic₄₃	—	2	2	no	—
391	C₂²×Dic₄₃	—	2	2	no	—
392	C₂²×Dic₄₃	—	2	2	no	—
393	C₂²×Dic₄₃	—	4	1	no	—
394	C₂²×Dic₄₃	—	4	1	no	—
395	C₂²×Dic₄₃	C₂²×C₄	1	4	yes	—
396	C₂²×Dic₄₃	C₂⁴	1	1	yes	characteristic
397	C₂²×Dic₄₃	C₂⁴	1	1	yes	characteristic
398	C₂²×Dic₄₃	C₂⁴	1	1	yes	characteristic
399	C₂²×Dic₄₃	C₂⁴	1	1	yes	characteristic
400	C₂²×Dic₄₃	C₂⁴	1	1	yes	characteristic
401	C₂²×Dic₄₃	C₂⁴	1	1	yes	characteristic
402	C₂²×Dic₄₃	C₂⁴	1	1	yes	characteristic
403	C₂²×Dic₄₃	C₂⁴	1	1	yes	characteristic
404	C₂²×Dic₄₃	C₂⁴	1	1	yes	characteristic
405	C₂²×Dic₄₃	C₂⁴	1	1	yes	characteristic
406	C₂²×Dic₄₃	C₂⁴	1	1	yes	characteristic
407	C₂²×Dic₄₃	C₂⁴	1	1	yes	characteristic
408	C₂²×Dic₄₃	C₂⁴	1	1	yes	characteristic
409	C₂²×Dic₄₃	C₂⁴	1	1	yes	characteristic
410	C₂×D₁₇₂	—	4	1	no	—
411	C₂×D₁₇₂	—	4	1	no	—
412	C₂×D₁₇₂	C₂²×C₄	1	4	yes	—
413	C₂×C₄×D₄₃	—	2	2	no	—
414	C₂×C₄×D₄₃	—	2	2	no	—
415	C₂×C₄×D₄₃	—	2	2	no	—
416	C₂×C₄×D₄₃	—	2	2	no	—
417	C₂×C₄×D₄₃	—	2	2	no	—
418	C₂×C₄×D₄₃	—	2	2	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	—	4	1	no	—
427	C₂×C₄×D₄₃	C₂²×C₄	1	4	yes	—
428	C₂×C₄×D₄₃	C₂²×C₄	1	4	yes	—
429	C₂×C₄×D₄₃	C₂²×C₄	1	4	yes	—
430	C₂×C₄×D₄₃	C₂²×C₄	1	4	yes	—
431	C₂×Dic₈₆	—	4	1	no	—
432	C₂×Dic₈₆	—	4	1	no	—
433	C₂×Dic₈₆	C₂²×C₄	1	4	yes	—
434	C₄⋊C₄×C₄₃	—	2	2	no	—
435	C₄⋊C₄×C₄₃	—	2	2	no	—
436	C₄⋊C₄×C₄₃	—	2	2	no	—
437	C₄⋊C₄×C₄₃	—	4	1	no	—
438	C₄⋊C₄×C₄₃	—	4	1	no	—
439	C₄⋊C₄×C₄₃	—	4	1	no	—
440	C₄⋊C₄×C₄₃	—	4	1	no	—
441	C₄⋊C₄×C₄₃	C₂²×C₄	1	4	yes	—
442	C₄⋊C₄×C₄₃	C₂²×C₄	1	4	yes	—
443	C₄⋊C₄×C₄₃	C₂²×C₄	1	4	yes	—
444	C₂²⋊C₄×C₄₃	—	2	2	no	—
445	C₂²⋊C₄×C₄₃	—	4	1	no	—
446	C₂²⋊C₄×C₄₃	—	4	1	no	—
447	C₂²⋊C₄×C₄₃	C₂²×C₄	1	4	yes	—
448	C₂²⋊C₄×C₄₃	C₂²×C₄	1	4	yes	—
449	C₂²⋊C₄×C₄₃	C₂²×C₄	1	4	yes	—
450	C₄²×C₄₃	—	2	2	no	—
451	C₄²×C₄₃	—	4	1	no	—
452	C₄²×C₄₃	—	4	1	no	—
453	C₄²×C₄₃	—	4	1	no	—
454	C₄²×C₄₃	—	4	1	no	—
455	C₄²×C₄₃	C₂²×C₄	1	4	yes	—
456	C₂²⋊Dic₄₃	—	2	2	no	—
457	C₂²⋊Dic₄₃	—	4	1	no	—
458	C₂²⋊Dic₄₃	—	4	1	no	—
459	C₂²⋊Dic₄₃	C₂²×C₄	1	4	yes	—
460	(C₂×D₄₃)⋊C₄	—	2	2	no	—
461	(C₂×D₄₃)⋊C₄	—	2	2	no	—
462	(C₂×D₄₃)⋊C₄	—	2	2	no	—
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	—	4	1	no	—
467	(C₂×D₄₃)⋊C₄	—	4	1	no	—
468	(C₂×D₄₃)⋊C₄	—	4	1	no	—
469	(C₂×D₄₃)⋊C₄	—	4	1	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	C₂²×C₄	1	4	yes	—
475	(C₂×D₄₃)⋊C₄	C₂²×C₄	1	4	yes	—
476	(C₂×D₄₃)⋊C₄	C₂²×C₄	1	4	yes	—
477	(C₂×D₄₃)⋊C₄	C₂²×C₄	1	4	yes	—
478	(C₂×D₄₃)⋊C₄	C₂²×C₄	1	4	yes	—
479	(C₂×D₄₃)⋊C₄	C₂²×C₄	1	4	yes	—
480	C₄⋊Dic₄₃	—	2	2	no	—
481	C₄⋊Dic₄₃	—	2	2	no	—
482	C₄⋊Dic₄₃	—	2	2	no	—
483	C₄⋊Dic₄₃	—	4	1	no	—
484	C₄⋊Dic₄₃	—	4	1	no	—
485	C₄⋊Dic₄₃	—	4	1	no	—
486	C₄⋊Dic₄₃	—	4	1	no	—
487	C₄⋊Dic₄₃	C₂²×C₄	1	4	yes	—
488	Dic₄₃⋊C₄	—	2	2	no	—
489	Dic₄₃⋊C₄	—	2	2	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	C₂²×C₄	1	4	yes	—
495	Dic₄₃⋊C₄	C₂²×C₄	1	4	yes	—
496	Dic₄₃⋊C₄	C₂²×C₄	1	4	yes	—
497	Dic₄₃⋊C₄	C₂²×C₄	1	4	yes	—
498	Dic₄₃⋊C₄	C₂²×C₄	1	4	yes	—
499	Dic₄₃⋊C₄	C₂²×C₄	1	4	yes	—
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	—	2	2	no	—
509	C₄×Dic₄₃	—	4	1	no	—
510	C₄×Dic₄₃	—	4	1	no	—
511	C₄×Dic₄₃	—	4	1	no	—
512	C₄×Dic₄₃	—	4	1	no	—
513	C₄×Dic₄₃	—	4	1	no	—
514	C₄×Dic₄₃	—	4	1	no	—
515	C₄×Dic₄₃	—	4	1	no	—
516	C₄×Dic₄₃	—	4	1	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	C₂²×C₄	1	4	yes	—
522	C₄×Dic₄₃	C₂²×C₄	1	4	yes	—
523	C₄×Dic₄₃	C₂²×C₄	1	4	yes	—
524	C₄×Dic₄₃	C₂²×C₄	1	4	yes	—
525	C₄×Dic₄₃	C₂²×C₄	1	4	yes	—
526	C₄×Dic₄₃	#41	1	4	yes	—
527	C₄×Dic₄₃	#41	1	4	yes	—
528	C₂³×C₄₃	—	2	1	no	—
529	C₂³×C₄₃	—	2	1	no	—
530	C₂³×C₄₃	—	2	1	no	—
531	C₂³×C₄₃	—	2	1	no	—
532	C₂³×C₄₃	—	2	1	no	—
533	C₂³×C₄₃	—	2	1	no	—
534	C₂³×C₄₃	C₂³×C₄	1	2	yes	—
535	C₂³×C₄₃	C₂⁵	1	1	yes	characteristic
536	C₂²×D₄₃	—	2	1	no	—
537	C₂²×D₄₃	—	2	1	no	—
538	C₂²×D₄₃	—	2	1	no	—
539	C₂²×D₄₃	—	2	1	no	—
540	C₂²×D₄₃	—	2	1	no	—
541	C₂²×D₄₃	—	2	1	no	—
542	C₂²×D₄₃	—	2	1	no	—
543	C₂²×D₄₃	—	2	1	no	—
544	C₂²×D₄₃	—	2	1	no	—
545	C₂²×D₄₃	—	2	1	no	—
546	C₂²×D₄₃	—	2	1	no	—
547	C₂²×D₄₃	—	2	1	no	—
548	C₂²×D₄₃	C₂³×C₄	1	2	yes	—
549	C₂²×D₄₃	C₂³×C₄	1	2	yes	—
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	—	2	1	no	—
581	C₂×C₄×C₄₃	—	2	1	no	—
582	C₂×C₄×C₄₃	—	2	1	no	—
583	C₂×C₄×C₄₃	—	2	1	no	—
584	C₂×C₄×C₄₃	—	4	4	no	—
585	C₂×C₄×C₄₃	C₂³×C₄	1	2	yes	—
586	C₂×C₄×C₄₃	C₂³×C₄	1	2	yes	—
587	C₂×C₄×C₄₃	C₂³×C₄	1	2	yes	—
588	C₂×C₄×C₄₃	C₂³×C₄	1	2	yes	—
589	C₂×C₄×C₄₃	C₂³×C₄	1	2	yes	—
590	C₂×C₄×C₄₃	C₂³×C₄	1	2	yes	—
591	C₂×C₄×C₄₃	C₂×#41	1	2	yes	—
592	C₂×C₄×C₄₃	C₂×#41	1	2	yes	—
593	C₂²⋊D₄₃	—	4	4	no	—
594	C₂²⋊D₄₃	—	4	4	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	8	no	—
610	C₂×Dic₄₃	—	2	1	no	—
611	C₂×Dic₄₃	—	2	1	no	—
612	C₂×Dic₄₃	—	2	1	no	—
613	C₂×Dic₄₃	—	2	1	no	—
614	C₂×Dic₄₃	—	2	1	no	—
615	C₂×Dic₄₃	—	2	1	no	—
616	C₂×Dic₄₃	—	2	1	no	—
617	C₂×Dic₄₃	—	2	1	no	—
618	C₂×Dic₄₃	—	2	1	no	—
619	C₂×Dic₄₃	—	2	1	no	—
620	C₂×Dic₄₃	—	2	1	no	—
621	C₂×Dic₄₃	—	2	1	no	—
622	C₂×Dic₄₃	—	2	1	no	—
623	C₂×Dic₄₃	—	2	1	no	—
624	C₂×Dic₄₃	—	2	1	no	—
625	C₂×Dic₄₃	—	2	1	no	—
626	C₂×Dic₄₃	—	2	1	no	—
627	C₂×Dic₄₃	—	2	1	no	—
628	C₂×Dic₄₃	—	4	4	no	—
629	C₂×Dic₄₃	C₂³×C₄	1	2	yes	—
630	C₂×Dic₄₃	C₂³×C₄	1	2	yes	—
631	C₂×Dic₄₃	C₂³×C₄	1	2	yes	—
632	C₂×Dic₄₃	C₂³×C₄	1	2	yes	—
633	C₂×Dic₄₃	C₂³×C₄	1	2	yes	—
634	C₂×Dic₄₃	C₂³×C₄	1	2	yes	—
635	C₂×Dic₄₃	C₂×#41	1	2	yes	—
636	C₂×Dic₄₃	C₂×#41	1	2	yes	—
637	C₂×Dic₄₃	C₂×#41	1	2	yes	—
638	C₂×Dic₄₃	C₂×#41	1	2	yes	—
639	D₁₇₂	—	4	4	no	—
640	C₄×D₄₃	—	2	8	no	—
641	C₄×D₄₃	—	2	8	no	—
642	C₄×D₄₃	—	4	4	no	—
643	C₄×D₄₃	—	4	4	no	—
644	C₄×D₄₃	—	4	4	no	—
645	C₄×D₄₃	—	4	4	no	—
646	Dic₈₆	—	4	4	no	—
647	#34081	—	43	1	no	maximal, Sylow
648	C₂²×C₄₃	—	2	2	no	—
649	C₂²×C₄₃	—	2	2	no	—
650	C₂²×C₄₃	—	2	2	no	—
651	C₂²×C₄₃	—	4	1	no	—
652	C₂²×C₄₃	—	4	1	no	—
653	C₂²×C₄₃	—	4	1	no	—
654	C₂²×C₄₃	—	4	1	no	—
655	C₂²×C₄₃	C₂⁴×C₄	1	1	yes	characteristic
656	C₂²×C₄₃	C₂²×#41	1	1	yes	characteristic
657	C₂²×C₄₃	C₂²×#41	1	1	yes	characteristic
658	C₂²×C₄₃	#585	1	1	yes	characteristic
659	C₂²×C₄₃	#585	1	1	yes	characteristic
660	C₂²×C₄₃	#585	1	1	yes	characteristic
661	C₂²×C₄₃	#585	1	1	yes	characteristic
662	C₂×D₄₃	—	2	2	no	—
663	C₂×D₄₃	—	2	2	no	—
664	C₂×D₄₃	—	2	2	no	—
665	C₂×D₄₃	—	2	2	no	—
666	C₂×D₄₃	—	2	2	no	—
667	C₂×D₄₃	—	2	2	no	—
668	C₂×D₄₃	—	4	1	no	—
669	C₂×D₄₃	—	4	1	no	—
670	C₂×D₄₃	—	4	1	no	—
671	C₂×D₄₃	—	4	1	no	—
672	C₂×D₄₃	—	4	1	no	—
673	C₂×D₄₃	—	4	1	no	—
674	C₂×D₄₃	—	4	1	no	—
675	C₂×D₄₃	—	4	1	no	—
676	C₄×C₄₃	—	2	2	no	—
677	C₄×C₄₃	—	2	2	no	—
678	C₄×C₄₃	—	2	2	no	—
679	C₄×C₄₃	—	2	2	no	—
680	C₄×C₄₃	—	2	2	no	—
681	C₄×C₄₃	—	2	2	no	—
682	C₄×C₄₃	—	2	2	no	—
683	C₄×C₄₃	—	2	2	no	—
684	C₄×C₄₃	—	4	1	no	—
685	C₄×C₄₃	—	4	1	no	—
686	C₄×C₄₃	—	4	1	no	—
687	C₄×C₄₃	—	4	1	no	—
688	C₄×C₄₃	—	4	1	no	—
689	C₄×C₄₃	—	4	1	no	—
690	Dic₄₃	—	2	2	no	—
691	Dic₄₃	—	2	2	no	—
692	Dic₄₃	—	2	2	no	—
693	Dic₄₃	—	2	2	no	—
694	Dic₄₃	—	2	2	no	—
695	Dic₄₃	—	2	2	no	—
696	Dic₄₃	—	2	2	no	—
697	Dic₄₃	—	4	1	no	—
698	Dic₄₃	—	4	1	no	—
699	Dic₄₃	—	4	1	no	—
700	Dic₄₃	—	4	1	no	—
701	Dic₄₃	—	4	1	no	—
702	Dic₄₃	—	4	1	no	—
703	Dic₄₃	C₄×#41	1	4	yes	—
704	C₂×#529	—	43	1	no	—
705	#2337	—	43	1	no	—
706	#2337	—	43	1	no	—
707	#2336	—	43	1	no	—
708	#2336	—	43	1	no	—
709	#2335	—	43	1	no	—
710	#2335	—	43	1	no	—
711	#2335	—	43	1	no	—
712	#2335	—	43	1	no	—
713	#2334	—	43	1	no	—
714	#2334	—	43	1	no	—
715	#2334	—	43	1	no	—
716	#2334	D₄₃	1	1	yes	characteristic, complemented
717	#2333	—	43	1	no	—
718	#2333	—	43	1	no	—
719	#2332	—	43	1	no	—
720	#2332	—	43	1	no	—
721	#2298	—	43	1	no	—
722	#2298	—	43	1	no	—
723	#2295	—	43	1	no	—
724	#2295	—	43	1	no	—
725	#2293	—	43	1	no	—
726	#2293	—	43	1	no	—
727	#2290	—	43	1	no	—
728	#2290	—	43	1	no	—
729	#2290	—	43	1	no	—
730	#2290	—	43	1	no	—
731	#2283	—	43	1	no	—
732	C₄×#117	—	43	1	no	—
733	C₄×#117	—	43	1	no	—
734	C₄×#117	—	43	1	no	—
735	C₂×C₄₃	—	4	2	no	—
736	C₂×C₄₃	C₂×C₄×#41	1	1	yes	characteristic
737	C₂×C₄₃	#3428	1	1	yes	characteristic
738	C₂×C₄₃	#3428	1	1	yes	characteristic
739	C₂×C₄₃	#3455	1	1	yes	characteristic
740	C₂×C₄₃	#3455	1	1	yes	characteristic
741	C₂×C₄₃	#3455	1	1	yes	characteristic
742	C₂×C₄₃	#3455	1	1	yes	characteristic
743	D₄₃	—	4	2	no	—
744	D₄₃	—	4	2	no	—
745	#529	—	43	16	no	—
746	C₂×#126	—	43	1	no	—
747	C₂×#126	C₂×D₄₃	1	1	yes	characteristic
748	C₂×#125	—	43	1	no	—
749	C₂×#124	—	43	1	no	—
750	C₂×#123	—	43	1	no	—
751	C₂×#123	—	43	1	no	—
752	C₂×C₂²⋊Q₈	—	43	1	no	—
753	C₂×#121	—	43	1	no	—
754	C₂×C₄×Q₈	—	43	1	no	—
755	C₂×C₄×D₄	—	43	1	no	—
756	C₂×C₄×D₄	—	43	1	no	—
757	C₂×C₄×D₄	—	43	1	no	—
758	C₂×#117	—	43	1	no	—
759	C₂×#117	—	43	1	no	—
760	C₂×#117	—	43	1	no	—
761	C₂×#117	—	43	1	no	—
762	C₂×#117	—	43	1	no	—
763	C₂×#117	—	43	1	no	—
764	C₂²×C₄²	—	43	1	no	—
765	C₂²×C₄²	—	43	1	no	—
766	C₂²×C₄²	—	43	1	no	—
767	#391	—	43	1	no	—
768	#391	—	43	1	no	—
769	#391	—	43	1	no	—
770	#391	—	43	1	no	—
771	#390	—	43	1	no	—
772	#390	—	43	1	no	—
773	#390	—	43	1	no	—
774	#390	—	43	1	no	—
775	#389	—	43	1	no	—
776	#389	—	43	1	no	—
777	#389	—	43	1	no	—
778	#389	—	43	1	no	—
779	#389	—	43	1	no	—
780	#389	—	43	1	no	—
781	#389	C₂×D₄₃	1	1	yes	characteristic
782	#389	C₂×D₄₃	1	1	yes	characteristic
783	#388	—	43	1	no	—
784	#388	—	43	1	no	—
785	#388	—	43	1	no	—
786	#388	—	43	1	no	—
787	#388	—	43	1	no	—
788	#388	—	43	1	no	—
789	#388	—	43	1	no	—
790	#388	—	43	1	no	—
791	#388	—	43	1	no	—
792	#388	—	43	1	no	—
793	#388	—	43	1	no	—
794	#388	—	43	1	no	—
795	#388	—	43	1	no	—
796	#388	—	43	1	no	—
797	#388	—	43	1	no	—
798	#388	—	43	1	no	—
799	#388	—	43	1	no	—
800	#388	—	43	1	no	—
801	#388	—	43	1	no	—
802	#388	—	43	1	no	—
803	#388	—	43	1	no	—
804	#388	C₂×D₄₃	1	1	yes	characteristic
805	#388	C₂×D₄₃	1	1	yes	characteristic
806	#388	C₂×D₄₃	1	1	yes	characteristic
807	#387	—	43	1	no	—
808	#387	—	43	1	no	—
809	#387	—	43	1	no	—
810	#387	—	43	1	no	—
811	#387	—	43	1	no	—
812	#387	—	43	1	no	—
813	#387	—	43	1	no	—
814	#387	—	43	1	no	—
815	#387	—	43	1	no	—
816	#387	—	43	1	no	—
817	#387	—	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	C₂×D₄₃	1	1	yes	characteristic
829	#387	C₂×D₄₃	1	1	yes	characteristic
830	#387	C₂×D₄₃	1	1	yes	characteristic
831	#386	—	43	1	no	—
832	#386	—	43	1	no	—
833	#386	—	43	1	no	—
834	#386	—	43	1	no	—
835	#386	—	43	1	no	—
836	#386	—	43	1	no	—
837	#386	—	43	1	no	—
838	#386	—	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	C₂×D₄₃	1	1	yes	characteristic
846	#385	C₂×D₄₃	1	1	yes	characteristic
847	#383	—	43	1	no	—
848	#383	—	43	1	no	—
849	#382	—	43	1	no	—
850	#382	C₂×D₄₃	1	1	yes	characteristic
851	#381	—	43	1	no	—
852	#381	—	43	1	no	—
853	#380	—	43	1	no	—
854	#380	—	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	—	43	1	no	—
867	C₄×C₄⋊C₄	—	43	1	no	—
868	C₄×C₄⋊C₄	—	43	1	no	—
869	C₄×C₄⋊C₄	—	43	1	no	—
870	C₄×C₄⋊C₄	—	43	1	no	—
871	C₄×C₄⋊C₄	C₂×D₄₃	1	1	yes	characteristic
872	C₄×C₄⋊C₄	C₂×D₄₃	1	1	yes	characteristic
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	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	C₄×C₂²⋊C₄	—	43	1	no	—
886	C₄×C₂²⋊C₄	—	43	1	no	—
887	C₄×C₂²⋊C₄	—	43	1	no	—
888	C₄×C₂²⋊C₄	—	43	1	no	—
889	C₄×C₂²⋊C₄	—	43	1	no	—
890	C₄×C₂²⋊C₄	C₂×D₄₃	1	1	yes	characteristic
891	#376	—	43	1	no	—
892	#376	—	43	1	no	—
893	#376	—	43	1	no	—
894	#376	—	43	1	no	—
895	#376	—	43	1	no	—
896	#376	—	43	1	no	—
897	C₄³	—	43	1	no	—
898	C₄³	—	43	1	no	—
899	C₄³	—	43	1	no	—
900	C₄³	—	43	1	no	—
901	C₄₃	#34081	1	1	yes	characteristic, complemented, Sylow
902	C₂²×Q₈	—	43	1	no	—
903	C₂²×D₄	—	43	1	no	—
904	C₂²×D₄	—	43	1	no	—
905	C₂²×D₄	—	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	C₂³×C₄	—	43	1	no	—
913	C₂³×C₄	—	43	1	no	—
914	C₂³×C₄	C₂²×D₄₃	1	1	yes	characteristic
915	#126	—	43	8	no	—
916	#126	C₄×D₄₃	1	8	yes	complemented
917	#125	—	43	8	no	—
918	#124	—	43	8	no	—
919	#123	—	43	8	no	—
920	#123	—	43	8	no	—
921	C₂²⋊Q₈	—	43	8	no	—
922	#121	—	43	8	no	—
923	C₄×Q₈	—	43	8	no	—
924	C₄×D₄	—	43	8	no	—
925	C₄×D₄	—	43	8	no	—
926	C₄×D₄	—	43	8	no	—
927	#117	—	43	8	no	—
928	#117	—	43	8	no	—
929	#117	—	86	4	no	—
930	#117	—	86	4	no	—
931	#117	—	86	4	no	—
932	#117	—	86	4	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	C₂²×D₄₃	1	1	yes	characteristic
954	C₂×C₄⋊C₄	C₂²×D₄₃	1	1	yes	characteristic
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×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×C₂²⋊C₄	—	43	1	no	—
981	C₂×C₂²⋊C₄	—	43	1	no	—
982	C₂×C₂²⋊C₄	—	43	1	no	—
983	C₂×C₂²⋊C₄	—	43	1	no	—
984	C₂×C₂²⋊C₄	—	43	1	no	—
985	C₂×C₂²⋊C₄	—	43	1	no	—
986	C₂×C₂²⋊C₄	—	43	1	no	—
987	C₂×C₂²⋊C₄	C₂²×D₄₃	1	1	yes	characteristic
988	C₂×C₂²⋊C₄	C₂²×D₄₃	1	1	yes	characteristic
989	C₂×C₂²⋊C₄	C₂²×D₄₃	1	1	yes	characteristic
990	C₂×C₂²⋊C₄	C₂²×D₄₃	1	1	yes	characteristic
991	C₂×C₂²⋊C₄	C₂²×D₄₃	1	1	yes	characteristic
992	C₂×C₂²⋊C₄	C₂²×D₄₃	1	1	yes	characteristic
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	—	43	8	no	—
1001	C₂×C₄²	—	43	1	no	—
1002	C₂×C₄²	—	43	1	no	—
1003	C₂×C₄²	—	43	1	no	—
1004	C₂×C₄²	—	43	1	no	—
1005	C₂×C₄²	—	43	1	no	—
1006	C₂×C₄²	—	43	1	no	—
1007	C₂×C₄²	—	43	1	no	—
1008	C₂×C₄²	—	43	1	no	—
1009	C₂×C₄²	—	43	1	no	—
1010	C₂×C₄²	—	43	1	no	—
1011	C₂×C₄²	—	43	1	no	—
1012	C₂×C₄²	—	43	1	no	—
1013	C₂×C₄²	—	43	1	no	—
1014	C₂×C₄²	—	43	1	no	—
1015	C₂×C₄²	—	43	1	no	—
1016	C₂×C₄²	—	43	1	no	—
1017	C₂×C₄²	—	43	1	no	—
1018	C₂×C₄²	—	43	1	no	—
1019	C₂×C₄²	—	43	1	no	—
1020	C₂×C₄²	—	43	1	no	—
1021	C₂×C₄²	—	43	1	no	—
1022	C₂×C₄²	—	86	4	no	—
1023	C₂×C₄²	—	86	4	no	—
1024	C₂×C₄²	C₂²×D₄₃	1	1	yes	characteristic
1025	C₂×C₄²	C₂²×D₄₃	1	1	yes	characteristic
1026	C₂×C₄²	C₂²×D₄₃	1	1	yes	characteristic
1027	C₂×C₄²	C₂²×D₄₃	1	1	yes	characteristic
1028	C₂×C₄²	C₂²×D₄₃	1	1	yes	characteristic
1029	C₂×C₄²	C₂²×D₄₃	1	1	yes	characteristic
1030	#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	—	43	1	no	—
1048	#95	—	43	1	no	—
1049	#95	—	43	1	no	—
1050	#95	—	43	1	no	—
1051	#95	—	43	1	no	—
1052	#95	—	43	1	no	—
1053	#95	—	43	1	no	—
1054	#95	—	43	1	no	—
1055	#95	—	43	1	no	—
1056	#95	—	43	1	no	—
1057	#95	—	43	1	no	—
1058	#95	—	43	1	no	—
1059	#95	—	43	1	no	—
1060	#95	—	43	1	no	—
1061	#95	—	43	1	no	—
1062	#95	—	43	1	no	—
1063	#95	—	43	1	no	—
1064	#95	—	43	1	no	—
1065	#95	—	43	1	no	—
1066	#95	C₂²×D₄₃	1	1	yes	characteristic
1067	#95	C₂²×D₄₃	1	1	yes	characteristic
1068	#95	C₂²×D₄₃	1	1	yes	characteristic
1069	#95	C₂²×D₄₃	1	1	yes	characteristic
1070	#95	C₂²×D₄₃	1	1	yes	characteristic
1071	#95	C₂²×D₄₃	1	1	yes	characteristic
1072	#95	C₂²×D₄₃	1	1	yes	characteristic
1073	#95	C₂²×D₄₃	1	1	yes	characteristic
1074	#95	C₂²×D₄₃	1	1	yes	characteristic
1075	#95	C₂²×D₄₃	1	1	yes	characteristic
1076	#95	C₂²×D₄₃	1	1	yes	characteristic
1077	#95	C₂²×D₄₃	1	1	yes	characteristic
1078	C₂⁴	—	43	1	no	—
1079	C₂⁴	—	43	1	no	—
1080	C₂⁴	C₂³×D₄₃	1	1	yes	characteristic
1081	C₂×Q₈	—	43	4	no	—
1082	C₂×Q₈	—	172	1	no	—
1083	C₂×Q₈	—	172	1	no	—
1084	C₂×D₄	—	43	4	no	—
1085	C₂×D₄	—	43	4	no	—
1086	C₂×D₄	—	43	4	no	—
1087	C₂×D₄	—	172	1	no	—
1088	C₂×D₄	—	172	1	no	—
1089	C₂×D₄	—	172	1	no	—
1090	C₂×D₄	—	172	1	no	—
1091	C₂×D₄	—	172	1	no	—
1092	C₂×D₄	—	172	1	no	—
1093	C₂²×C₄	—	2	2	no	—
1094	C₂²×C₄	—	4	1	no	—
1095	C₂²×C₄	—	4	1	no	—
1096	C₂²×C₄	—	43	1	no	—
1097	C₂²×C₄	—	43	4	no	—
1098	C₂²×C₄	—	43	1	no	—
1099	C₂²×C₄	—	43	1	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	4	no	—
1106	C₂²×C₄	—	43	4	no	—
1107	C₂²×C₄	—	43	4	no	—
1108	C₂²×C₄	—	43	4	no	—
1109	C₂²×C₄	—	43	1	no	—
1110	C₂²×C₄	—	43	1	no	—
1111	C₂²×C₄	—	43	1	no	—
1112	C₂²×C₄	—	43	1	no	—
1113	C₂²×C₄	—	43	1	no	—
1114	C₂²×C₄	—	43	1	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	—	86	2	no	—
1123	C₂²×C₄	—	86	2	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	C₂³×D₄₃	1	1	yes	characteristic
1135	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
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	C₄⋊C₄	—	2	2	no	—
1149	C₄⋊C₄	—	2	2	no	—
1150	C₄⋊C₄	—	2	2	no	—
1151	C₄⋊C₄	—	4	1	no	—
1152	C₄⋊C₄	—	4	1	no	—
1153	C₄⋊C₄	—	4	1	no	—
1154	C₄⋊C₄	—	4	1	no	—
1155	C₄⋊C₄	—	43	4	no	—
1156	C₄⋊C₄	—	43	4	no	—
1157	C₄⋊C₄	—	43	4	no	—
1158	C₄⋊C₄	—	43	4	no	—
1159	C₄⋊C₄	—	43	4	no	—
1160	C₄⋊C₄	—	43	4	no	—
1161	C₄⋊C₄	—	43	4	no	—
1162	C₄⋊C₄	—	86	2	no	—
1163	C₄⋊C₄	—	86	2	no	—
1164	C₄⋊C₄	—	86	2	no	—
1165	C₄⋊C₄	—	86	2	no	—
1166	C₄⋊C₄	—	86	2	no	—
1167	C₄⋊C₄	—	172	1	no	—
1168	C₄⋊C₄	—	172	1	no	—
1169	C₄⋊C₄	—	172	1	no	—
1170	C₄⋊C₄	—	172	1	no	—
1171	C₄⋊C₄	—	172	1	no	—
1172	C₄⋊C₄	—	172	1	no	—
1173	C₄⋊C₄	—	172	1	no	—
1174	C₄⋊C₄	—	172	1	no	—
1175	C₄⋊C₄	C₂×C₄×D₄₃	1	4	yes	—
1176	C₄⋊C₄	C₂×C₄×D₄₃	1	4	yes	—
1177	C₄⋊C₄	C₂×C₄×D₄₃	1	4	yes	—
1178	C₂²⋊C₄	—	2	2	no	—
1179	C₂²⋊C₄	—	4	1	no	—
1180	C₂²⋊C₄	—	4	1	no	—
1181	C₂²⋊C₄	—	43	4	no	—
1182	C₂²⋊C₄	—	43	4	no	—
1183	C₂²⋊C₄	—	43	4	no	—
1184	C₂²⋊C₄	—	43	4	no	—
1185	C₂²⋊C₄	—	43	4	no	—
1186	C₂²⋊C₄	—	43	4	no	—
1187	C₂²⋊C₄	—	43	4	no	—
1188	C₂²⋊C₄	—	86	2	no	—
1189	C₂²⋊C₄	—	86	2	no	—
1190	C₂²⋊C₄	—	86	2	no	—
1191	C₂²⋊C₄	—	86	2	no	—
1192	C₂²⋊C₄	—	86	2	no	—
1193	C₂²⋊C₄	—	86	2	no	—
1194	C₂²⋊C₄	—	86	2	no	—
1195	C₂²⋊C₄	—	172	1	no	—
1196	C₂²⋊C₄	—	172	1	no	—
1197	C₂²⋊C₄	—	172	1	no	—
1198	C₂²⋊C₄	—	172	1	no	—
1199	C₂²⋊C₄	—	172	1	no	—
1200	C₂²⋊C₄	—	172	1	no	—
1201	C₂²⋊C₄	—	172	1	no	—
1202	C₂²⋊C₄	—	172	1	no	—
1203	C₂²⋊C₄	—	172	1	no	—
1204	C₂²⋊C₄	—	172	1	no	—
1205	C₂²⋊C₄	C₂×C₄×D₄₃	1	4	yes	—
1206	C₂²⋊C₄	C₂×C₄×D₄₃	1	4	yes	—
1207	C₂²⋊C₄	C₂×C₄×D₄₃	1	4	yes	—
1208	C₄²	—	2	2	no	—
1209	C₄²	—	4	1	no	—
1210	C₄²	—	4	1	no	—
1211	C₄²	—	4	1	no	—
1212	C₄²	—	4	1	no	—
1213	C₄²	—	43	4	no	—
1214	C₄²	—	43	4	no	—
1215	C₄²	—	43	4	no	—
1216	C₄²	—	43	4	no	—
1217	C₄²	—	43	4	no	—
1218	C₄²	—	43	4	no	—
1219	C₄²	—	43	4	no	—
1220	C₄²	—	86	2	no	—
1221	C₄²	—	86	2	no	—
1222	C₄²	—	86	2	no	—
1223	C₄²	—	86	2	no	—
1224	C₄²	—	86	2	no	—
1225	C₄²	—	86	2	no	—
1226	C₄²	—	86	2	no	—
1227	C₄²	—	86	2	no	—
1228	C₄²	—	86	2	no	—
1229	C₄²	—	172	1	no	—
1230	C₄²	—	172	1	no	—
1231	C₄²	—	172	1	no	—
1232	C₄²	—	172	1	no	—
1233	C₄²	—	172	1	no	—
1234	C₄²	—	172	1	no	—
1235	C₄²	—	172	1	no	—
1236	C₄²	—	172	1	no	—
1237	C₄²	—	172	1	no	—
1238	C₄²	—	172	1	no	—
1239	C₄²	—	172	1	no	—
1240	C₄²	—	172	1	no	—
1241	C₄²	C₂×C₄×D₄₃	1	4	yes	—
1242	C₂³	—	2	1	no	—
1243	C₂³	—	2	1	no	—
1244	C₂³	—	2	1	no	—
1245	C₂³	—	2	1	no	—
1246	C₂³	—	2	1	no	—
1247	C₂³	—	2	1	no	—
1248	C₂³	—	43	2	no	—
1249	C₂³	—	43	2	no	—
1250	C₂³	—	86	1	no	—
1251	C₂³	—	86	1	no	—
1252	C₂³	—	86	1	no	—
1253	C₂³	—	86	1	no	—
1254	C₂³	—	86	1	no	—
1255	C₂³	—	86	1	no	—
1256	C₂³	—	86	1	no	—
1257	C₂³	—	86	1	no	—
1258	C₂³	—	86	1	no	—
1259	C₂³	—	86	1	no	—
1260	C₂³	—	86	1	no	—
1261	C₂³	—	86	1	no	—
1262	C₂³	C₂²×C₄×D₄₃	1	2	yes	—
1263	C₂³	C₂⁴×D₄₃	1	1	yes	characteristic
1264	Q₈	—	172	4	no	—
1265	D₄	—	172	4	no	—
1266	D₄	—	172	4	no	—
1267	D₄	—	172	4	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	—	2	1	no	—
1292	C₂×C₄	—	2	1	no	—
1293	C₂×C₄	—	2	1	no	—
1294	C₂×C₄	—	2	1	no	—
1295	C₂×C₄	—	2	1	no	—
1296	C₂×C₄	—	2	1	no	—
1297	C₂×C₄	—	2	1	no	—
1298	C₂×C₄	—	2	1	no	—
1299	C₂×C₄	—	2	1	no	—
1300	C₂×C₄	—	2	1	no	—
1301	C₂×C₄	—	2	1	no	—
1302	C₂×C₄	—	4	4	no	—
1303	C₂×C₄	—	43	2	no	—
1304	C₂×C₄	—	43	2	no	—
1305	C₂×C₄	—	43	2	no	—
1306	C₂×C₄	—	43	2	no	—
1307	C₂×C₄	—	43	2	no	—
1308	C₂×C₄	—	43	2	no	—
1309	C₂×C₄	—	43	2	no	—
1310	C₂×C₄	—	43	2	no	—
1311	C₂×C₄	—	43	2	no	—
1312	C₂×C₄	—	43	2	no	—
1313	C₂×C₄	—	86	8	no	—
1314	C₂×C₄	—	86	8	no	—
1315	C₂×C₄	—	86	8	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	—	86	1	no	—
1335	C₂×C₄	—	86	1	no	—
1336	C₂×C₄	—	86	1	no	—
1337	C₂×C₄	—	86	1	no	—
1338	C₂×C₄	—	86	1	no	—
1339	C₂×C₄	—	86	1	no	—
1340	C₂×C₄	—	86	1	no	—
1341	C₂×C₄	—	86	1	no	—
1342	C₂×C₄	—	86	1	no	—
1343	C₂×C₄	—	86	1	no	—
1344	C₂×C₄	—	86	1	no	—
1345	C₂×C₄	—	86	1	no	—
1346	C₂×C₄	—	86	1	no	—
1347	C₂×C₄	—	86	1	no	—
1348	C₂×C₄	—	172	4	no	—
1349	C₂×C₄	—	172	4	no	—
1350	C₂×C₄	—	172	4	no	—
1351	C₂×C₄	—	172	4	no	—
1352	C₂×C₄	—	172	4	no	—
1353	C₂×C₄	C₂²×C₄×D₄₃	1	2	yes	—
1354	C₂×C₄	C₂²×C₄×D₄₃	1	2	yes	—
1355	C₂×C₄	C₂²×C₄×D₄₃	1	2	yes	—
1356	C₂×C₄	C₂²×C₄×D₄₃	1	2	yes	—
1357	C₂×C₄	C₂²×C₄×D₄₃	1	2	yes	—
1358	C₂×C₄	C₂²×C₄×D₄₃	1	2	yes	—
1359	C₂×C₄	#41×D₄₃	1	2	yes	—
1360	C₂×C₄	#41×D₄₃	1	2	yes	—
1361	C₂²	—	2	2	no	—
1362	C₂²	—	2	2	no	—
1363	C₂²	—	2	2	no	—
1364	C₂²	—	4	1	no	—
1365	C₂²	—	4	1	no	—
1366	C₂²	—	4	1	no	—
1367	C₂²	—	4	1	no	—
1368	C₂²	—	86	2	no	—
1369	C₂²	—	86	2	no	—
1370	C₂²	—	86	2	no	—
1371	C₂²	—	86	2	no	—
1372	C₂²	—	86	2	no	—
1373	C₂²	—	86	2	no	—
1374	C₂²	—	172	1	no	—
1375	C₂²	—	172	1	no	—
1376	C₂²	—	172	1	no	—
1377	C₂²	—	172	1	no	—
1378	C₂²	—	172	1	no	—
1379	C₂²	—	172	1	no	—
1380	C₂²	—	172	1	no	—
1381	C₂²	—	172	1	no	—
1382	C₂²	C₂³×C₄×D₄₃	1	1	yes	characteristic
1383	C₂²	C₂×#41×D₄₃	1	1	yes	characteristic
1384	C₂²	C₂×#41×D₄₃	1	1	yes	characteristic
1385	C₂²	#14583734	1	1	yes	characteristic
1386	C₂²	#14583734	1	1	yes	characteristic
1387	C₂²	#14583736	1	1	yes	characteristic
1388	C₂²	#14583736	1	1	yes	characteristic
1389	C₄	—	2	2	no	—
1390	C₄	—	2	2	no	—
1391	C₄	—	2	2	no	—
1392	C₄	—	2	2	no	—
1393	C₄	—	2	2	no	—
1394	C₄	—	2	2	no	—
1395	C₄	—	2	2	no	—
1396	C₄	—	2	2	no	—
1397	C₄	—	4	1	no	—
1398	C₄	—	4	1	no	—
1399	C₄	—	4	1	no	—
1400	C₄	—	4	1	no	—
1401	C₄	—	4	1	no	—
1402	C₄	—	4	1	no	—
1403	C₄	—	43	4	no	—
1404	C₄	—	86	2	no	—
1405	C₄	—	86	2	no	—
1406	C₄	—	86	2	no	—
1407	C₄	—	86	2	no	—
1408	C₄	—	86	2	no	—
1409	C₄	—	86	2	no	—
1410	C₄	—	86	2	no	—
1411	C₄	—	172	1	no	—
1412	C₄	—	172	1	no	—
1413	C₄	—	172	1	no	—
1414	C₄	—	172	1	no	—
1415	C₄	—	172	1	no	—
1416	C₄	—	172	1	no	—
1417	C₂	—	4	2	no	—
1418	C₂	—	172	2	no	—
1419	C₂	—	172	2	no	—
1420	C₂	C₄×#41×D₄₃	1	1	yes	characteristic
1421	C₂	#19147795	1	1	yes	characteristic
1422	C₂	#19147795	1	1	yes	characteristic
1423	C₂	#19147977	1	1	yes	characteristic
1424	C₂	#19147981	1	1	yes	characteristic
1425	C₂	#19147982	1	1	yes	characteristic
1426	C₂	#19147986	1	1	yes	characteristic

	subgroup	G/H
center, Frattini	C₂³	C₂⁴×D₄₃
commutator	C₂²×C₄₃	C₂⁴×C₄
Fitting	C₄₃×#2334	C₂
socle, cosocle	C₂³×C₄₃	C₂⁵
prime radical	C₂×#13063298	C₂²
hypercenter	#2334	D₄₃
hypocenter	C₄₃	#34081
LCS	G ▷ C₂²×C₄₃ ▷ C₄₃
UCS	C₁ ◁ C₂³ ◁ #2334

Complements

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

N	H ≅ G/N	type
2. #19137409	C₂	semidirect
3. #19137402	C₂	semidirect
4. #19137400	C₂	semidirect
5. #19137393	C₂	semidirect
6. #19137392	C₂	semidirect
7. #19137388	C₂	semidirect
8. #19137384	C₂	semidirect
9. #19137380	C₂	semidirect
10. #19137374	C₂	semidirect
11. #19137370	C₂	semidirect
12. #19137366	C₂	semidirect
15. #19137349	C₂	semidirect
16. #19137346	C₂	semidirect
17. #19137089	C₂	semidirect
18. #19137087	C₂	semidirect
19. #19137068	C₂	semidirect
20. #19137066	C₂	semidirect
21. #19137055	C₂	semidirect
22. #19137053	C₂	semidirect
23. #19137037	C₂	semidirect
24. #19137033	C₂	semidirect
25. #19137031	C₂	semidirect
26. #19137031	C₂	semidirect
27. #19136988	C₂	semidirect
28. C₄×#13063283	C₂	semidirect
29. C₄×#13063283	C₂	semidirect
30. C₄×#13063281	C₂	semidirect
31. C₄₃×#2334	C₂	semidirect
32. #14583432	C₄	semidirect
200. #13063319	C₂×C₄	semidirect
201. #13063315	C₂×C₄	semidirect
203. #13063310	C₂×C₄	semidirect
204. #13063307	C₂×C₄	semidirect
205. #13063303	C₂×C₄	semidirect
207. #13063290	C₂×C₄	semidirect
208. #13063287	C₂×C₄	semidirect
210. (C₂²⋊D₄₃)⋊C₄	C₂×C₄	semidirect
214. #13063283	C₂×C₄	semidirect
216. #13063281	C₂×C₄	semidirect
291. C₄²×D₄₃	C₂×C₄	semidirect
329. #126×C₄₃	C₂×C₄	semidirect
716. #2334	D₄₃	semidirect
901. C₄₃	#34081	semidirect
916. #126	C₄×D₄₃	semidirect

Maximal subgroups

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

subgroup	index
C₂×#14583432	2
#19137409	2
#19137402	2
#19137400	2
#19137393	2
#19137392	2
#19137388	2
#19137384	2
#19137380	2
#19137374	2
#19137370	2
#19137366	2
#19137358	2
#19137355	2
#19137349	2
#19137346	2
#19137089	2
#19137087	2
#19137068	2
#19137066	2
#19137055	2
#19137053	2
#19137037	2
#19137033	2
#19137031	2
#19136988	2
C₄×#13063283	2
C₄×#13063281	2
C₄₃×#2334	2
#34081	43