Subgroups — #25303468

Order 11008.

2440 conjugacy classes of subgroups.

The subgroup lattice has 1676 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×#14583514	C₂	1	1	yes	maximal, characteristic, complemented
2	#19142887	C₂	1	1	yes	maximal, characteristic, complemented
3	#19142882	C₂	1	1	yes	maximal, characteristic, complemented
4	#19141141	C₂	1	1	yes	maximal, characteristic, complemented
5	#19141126	C₂	1	1	yes	maximal, characteristic, complemented
6	#19141087	C₂	1	1	yes	maximal, characteristic, complemented
7	#19141072	C₂	1	1	yes	maximal, characteristic, complemented
8	#19141042	C₂	1	1	yes	maximal, characteristic, complemented
9	#19140997	C₂	1	1	yes	maximal, characteristic, complemented
10	#19140982	C₂	1	1	yes	maximal, characteristic, complemented
11	#19140973	C₂	1	1	yes	maximal, characteristic, complemented
12	#19140906	C₂	1	1	yes	maximal, characteristic, complemented
13	#19140896	C₂	1	1	yes	maximal, characteristic, complemented
14	#19140876	C₂	1	1	yes	maximal, characteristic, complemented
15	#19140872	C₂	1	1	yes	maximal, characteristic, complemented
16	#19140846	C₂	1	1	yes	maximal, characteristic, complemented
17	#19140827	C₂	1	1	yes	maximal, characteristic, complemented
18	#19140817	C₂	1	1	yes	maximal, characteristic, complemented
19	#19140799	C₂	1	1	yes	maximal, characteristic, complemented
20	#19140512	C₂	1	1	yes	maximal, characteristic, complemented
21	#19140432	C₂	1	1	yes	maximal, characteristic, complemented
22	#19140267	C₂	1	1	yes	maximal, characteristic, complemented
23	#19140207	C₂	1	1	yes	maximal, characteristic, complemented
24	#19140172	C₂	1	1	yes	maximal, characteristic, complemented
25	#19140155	C₂	1	1	yes	maximal, characteristic, complemented
26	#19139949	C₂	1	1	yes	maximal, characteristic, complemented
27	#19139771	C₂	1	1	yes	maximal, characteristic, complemented
28	#19138219	C₂	1	1	yes	maximal, characteristic, complemented
29	#19138199	C₂	1	1	yes	maximal, characteristic, complemented
30	#19137228	C₂	1	1	yes	maximal, characteristic, complemented
31	C₂×C₄₃×#525	C₂	1	1	yes	maximal, characteristic, complemented
32	#14583514	—	2	8	no	—
33	C₂×#13063324	C₂²	1	1	yes	characteristic, complemented
34	C₂×#13063323	C₂²	1	1	yes	characteristic, complemented
35	C₂×#13063318	C₂²	1	1	yes	characteristic
36	C₂×#13063318	C₂²	1	1	yes	characteristic, complemented
37	C₂×#13063312	C₂²	1	1	yes	characteristic
38	C₂×#13063312	C₂²	1	1	yes	characteristic
39	C₂×#13063311	C₂²	1	1	yes	characteristic
40	C₂×#13063311	C₂²	1	1	yes	characteristic, complemented
41	C₂×#13063308	C₂²	1	1	yes	characteristic
42	C₂×#13063308	C₂²	1	1	yes	characteristic
43	C₂×#13063308	C₂²	1	1	yes	characteristic, complemented
44	C₂×#13063305	C₂²	1	1	yes	characteristic, complemented
45	C₂×#13063304	C₂²	1	1	yes	characteristic
46	C₂×#13063304	C₂²	1	1	yes	characteristic
47	C₂×#13063304	C₂²	1	1	yes	characteristic
48	C₂×#13063304	C₂²	1	1	yes	characteristic, complemented
49	C₂×#13063297	C₂²	1	1	yes	characteristic
50	C₂×#13063297	C₂²	1	1	yes	characteristic, complemented
51	C₂×#13063296	C₂²	1	1	yes	characteristic
52	C₂×#13063294	C₂²	1	1	yes	characteristic
53	C₂×C₄×Dic₈₆	C₂²	1	1	yes	characteristic, complemented
54	C₂×#13063282	C₂²	1	1	yes	characteristic, complemented
55	#14582838	C₂²	1	1	yes	characteristic, complemented
56	#14582837	C₂²	1	1	yes	characteristic, complemented
57	#14582835	C₂²	1	1	yes	characteristic
58	#14582835	C₂²	1	1	yes	characteristic
59	#14582835	C₂²	1	1	yes	characteristic, complemented
60	#14582834	C₂²	1	1	yes	characteristic, complemented
61	#14582832	C₂²	1	1	yes	characteristic, complemented
62	#14582832	C₂²	1	1	yes	characteristic, complemented
63	#14582829	C₂²	1	1	yes	characteristic, complemented
64	#14582829	C₂²	1	1	yes	characteristic, complemented
65	#14582827	C₂²	1	1	yes	characteristic
66	#14582827	C₂²	1	1	yes	characteristic
67	#14582827	C₂²	1	1	yes	characteristic
68	#14582827	C₂²	1	1	yes	characteristic, complemented
69	#14582824	C₂²	1	1	yes	characteristic
70	#14582824	C₂²	1	1	yes	characteristic, complemented
71	#14582822	C₂²	1	1	yes	characteristic
72	#14582822	C₂²	1	1	yes	characteristic, complemented
73	#14582821	C₂²	1	1	yes	characteristic, complemented
74	#14582821	C₂²	1	1	yes	characteristic, complemented
75	#14582819	C₂²	1	1	yes	characteristic, complemented
76	#14582819	C₂²	1	1	yes	characteristic, complemented
77	#14582819	C₂²	1	1	yes	characteristic, complemented
78	#14582818	C₂²	1	1	yes	characteristic, complemented
79	#14582815	C₂²	1	1	yes	characteristic
80	#14582815	C₂²	1	1	yes	characteristic, complemented
81	#14582814	C₂²	1	1	yes	characteristic
82	#14582814	C₂²	1	1	yes	characteristic, complemented
83	#14582813	C₂²	1	1	yes	characteristic
84	#14582813	C₂²	1	1	yes	characteristic
85	#14582813	C₂²	1	1	yes	characteristic
86	#14582813	C₂²	1	1	yes	characteristic
87	#14582813	C₂²	1	1	yes	characteristic
88	#14582813	C₂²	1	1	yes	characteristic
89	#14582813	C₂²	1	1	yes	characteristic
90	#14582813	C₂²	1	1	yes	characteristic
91	#14582813	C₂²	1	1	yes	characteristic, complemented
92	#14582813	C₂²	1	1	yes	characteristic, complemented
93	#14582811	C₂²	1	1	yes	characteristic
94	#14582811	C₂²	1	1	yes	characteristic
95	#14582811	C₂²	1	1	yes	characteristic
96	#14582811	C₂²	1	1	yes	characteristic, complemented
97	#14582811	C₂²	1	1	yes	characteristic, complemented
98	#14582810	C₂²	1	1	yes	characteristic, complemented
99	#14582807	C₂²	1	1	yes	characteristic
100	#14582807	C₂²	1	1	yes	characteristic
101	#14582807	C₂²	1	1	yes	characteristic
102	#14582807	C₂²	1	1	yes	characteristic
103	#14582806	C₂²	1	1	yes	characteristic, complemented
104	#14582802	C₂²	1	1	yes	characteristic
105	#14582802	C₂²	1	1	yes	characteristic
106	#14582802	C₂²	1	1	yes	characteristic
107	#14582799	C₂²	1	1	yes	characteristic
108	#14582795	C₂²	1	1	yes	characteristic, complemented
109	#14582795	C₂²	1	1	yes	characteristic, complemented
110	#14582794	C₂²	1	1	yes	characteristic, complemented
111	#14582793	C₂²	1	1	yes	characteristic
112	#14582792	C₂²	1	1	yes	characteristic
113	#14582792	C₂²	1	1	yes	characteristic
114	#14582790	C₂²	1	1	yes	characteristic, complemented
115	#14582789	C₂²	1	1	yes	characteristic, complemented
116	#14582787	C₂²	1	1	yes	characteristic
117	#14582787	C₂²	1	1	yes	characteristic
118	#14582787	C₂²	1	1	yes	characteristic
119	#14582787	C₂²	1	1	yes	characteristic
120	#14582787	C₂²	1	1	yes	characteristic, complemented
121	#14582785	C₂²	1	1	yes	characteristic, complemented
122	#14582785	C₂²	1	1	yes	characteristic, complemented
123	#14582783	C₂²	1	1	yes	characteristic, complemented
124	#14582783	C₂²	1	1	yes	characteristic, complemented
125	#14582783	C₂²	1	1	yes	characteristic, complemented
126	#14582780	C₂²	1	1	yes	characteristic, complemented
127	#14582780	C₂²	1	1	yes	characteristic, complemented
128	#14582780	C₂²	1	1	yes	characteristic, complemented
129	#14582779	C₂²	1	1	yes	characteristic
130	#14582779	C₂²	1	1	yes	characteristic
131	#14582779	C₂²	1	1	yes	characteristic
132	#14582779	C₂²	1	1	yes	characteristic
133	#14582779	C₂²	1	1	yes	characteristic
134	#14582779	C₂²	1	1	yes	characteristic, complemented
135	#14582778	C₂²	1	1	yes	characteristic
136	#14582778	C₂²	1	1	yes	characteristic
137	#14582778	C₂²	1	1	yes	characteristic
138	#14582778	C₂²	1	1	yes	characteristic
139	#14582778	C₂²	1	1	yes	characteristic, complemented
140	#14582775	C₂²	1	1	yes	characteristic
141	#14582775	C₂²	1	1	yes	characteristic
142	#14582775	C₂²	1	1	yes	characteristic, complemented
143	#14582774	C₂²	1	1	yes	characteristic, complemented
144	#14582774	C₂²	1	1	yes	characteristic, complemented
145	#14582772	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	#14582772	C₂²	1	1	yes	characteristic
151	#14582772	C₂²	1	1	yes	characteristic
152	#14582772	C₂²	1	1	yes	characteristic
153	#14582772	C₂²	1	1	yes	characteristic
154	#14582772	C₂²	1	1	yes	characteristic
155	#14582772	C₂²	1	1	yes	characteristic, complemented
156	#14582772	C₂²	1	1	yes	characteristic, complemented
157	#14582772	C₂²	1	1	yes	characteristic, complemented
158	#14582770	C₂²	1	1	yes	characteristic, complemented
159	#14582767	C₂²	1	1	yes	characteristic, complemented
160	#14582765	C₂²	1	1	yes	characteristic, complemented
161	#14582762	C₂²	1	1	yes	characteristic
162	#14582762	C₂²	1	1	yes	characteristic
163	#14582759	C₂²	1	1	yes	characteristic
164	#14582759	C₂²	1	1	yes	characteristic
165	#14582759	C₂²	1	1	yes	characteristic
166	#14582757	C₂²	1	1	yes	characteristic, complemented
167	#14582757	C₂²	1	1	yes	characteristic, complemented
168	#14582755	C₂²	1	1	yes	characteristic
169	#14582755	C₂²	1	1	yes	characteristic
170	#14582755	C₂²	1	1	yes	characteristic
171	C₄×C₂²⋊Dic₄₃	C₂²	1	1	yes	characteristic, complemented
172	C₂×C₄₃⋊#95	C₂²	1	1	yes	characteristic, complemented
173	C₂²×#41×C₄₃	C₂²	1	1	yes	characteristic
174	C₂⁴×C₄×C₄₃	C₂²	1	1	yes	characteristic
175	C₄₃×#525	—	2	8	no	—
176	C₂×#123×C₄₃	C₂²	1	1	yes	characteristic
177	C₂×#123×C₄₃	C₂²	1	1	yes	characteristic
178	C₂×C₂²⋊Q₈×C₄₃	C₂²	1	1	yes	characteristic
179	C₂×C₂²⋊Q₈×C₄₃	C₂²	1	1	yes	characteristic
180	C₂×#121×C₄₃	C₂²	1	1	yes	characteristic
181	C₂×#121×C₄₃	C₂²	1	1	yes	characteristic
182	C₂×#120×C₄₃	C₂²	1	1	yes	characteristic
183	C₂×#120×C₄₃	C₂²	1	1	yes	characteristic
184	C₂×C₄×D₄×C₄₃	C₂²	1	1	yes	characteristic
185	C₂×C₄×D₄×C₄₃	C₂²	1	1	yes	characteristic
186	C₂×C₄×D₄×C₄₃	C₂²	1	1	yes	characteristic
187	C₂×C₄×D₄×C₄₃	C₂²	1	1	yes	characteristic
188	C₂×#117×C₄₃	C₂²	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×C₂²⋊D₄₃	C₂³	1	1	yes	characteristic
193	C₂²×C₂²⋊D₄₃	C₂³	1	1	yes	characteristic
194	C₂²×C₂²⋊D₄₃	C₂³	1	1	yes	characteristic
195	C₂²×C₂²⋊D₄₃	C₂³	1	1	yes	characteristic
196	C₂²×C₂²⋊D₄₃	C₂³	1	1	yes	characteristic
197	C₂³×Dic₄₃	C₂³	1	1	yes	characteristic
198	C₂³×Dic₄₃	C₂³	1	1	yes	characteristic
199	C₂²×C₄×D₄₃	C₂³	1	1	yes	characteristic
200	#13063324	—	2	4	no	—
201	#13063323	—	4	2	no	—
202	#13063318	—	2	4	no	—
203	#13063318	—	2	4	no	—
204	#13063312	—	2	4	no	—
205	#13063312	—	4	2	no	—
206	#13063311	—	2	4	no	—
207	#13063311	—	2	4	no	—
208	#13063308	—	2	4	no	—
209	#13063308	—	2	4	no	—
210	#13063308	—	4	2	no	—
211	#13063305	—	2	4	no	—
212	#13063304	—	2	4	no	—
213	#13063304	—	2	4	no	—
214	#13063304	—	4	2	no	—
215	#13063304	—	4	2	no	—
216	#13063297	—	4	2	no	—
217	#13063297	—	4	2	no	—
218	#13063296	—	2	4	no	—
219	#13063294	—	4	2	no	—
220	C₄×Dic₈₆	—	2	4	no	—
221	#13063282	—	2	4	no	—
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×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×C₂²⋊Dic₄₃	C₂³	1	1	yes	characteristic
252	C₂×C₂²⋊Dic₄₃	C₂³	1	1	yes	characteristic
253	C₂×C₂²⋊Dic₄₃	C₂³	1	1	yes	characteristic
254	C₂×C₂²⋊Dic₄₃	C₂³	1	1	yes	characteristic
255	C₂×C₂²⋊Dic₄₃	C₂³	1	1	yes	characteristic
256	C₂×C₂²⋊Dic₄₃	C₂³	1	1	yes	characteristic
257	C₂×C₂²⋊Dic₄₃	C₂³	1	1	yes	characteristic
258	C₂×C₂²⋊Dic₄₃	C₂³	1	1	yes	characteristic
259	C₂×C₂²⋊Dic₄₃	C₂³	1	1	yes	characteristic
260	C₂×C₂²⋊Dic₄₃	C₂³	1	1	yes	characteristic
261	C₂×C₂²⋊Dic₄₃	C₂³	1	1	yes	characteristic
262	C₂×C₂²⋊Dic₄₃	C₂³	1	1	yes	characteristic
263	C₂×C₂²⋊Dic₄₃	C₂³	1	1	yes	characteristic
264	C₂×C₂²⋊Dic₄₃	C₂³	1	1	yes	characteristic
265	C₂×C₂²⋊Dic₄₃	C₂³	1	1	yes	characteristic
266	C₂×C₂²⋊Dic₄₃	C₂³	1	1	yes	characteristic
267	C₂×C₂²⋊Dic₄₃	C₂³	1	1	yes	characteristic
268	C₂×C₂²⋊Dic₄₃	C₂³	1	1	yes	characteristic
269	C₂×C₂²⋊Dic₄₃	C₂³	1	1	yes	characteristic
270	C₂×C₂²⋊Dic₄₃	C₂³	1	1	yes	characteristic
271	C₂×C₂²⋊Dic₄₃	C₂³	1	1	yes	characteristic
272	C₂×C₂²⋊Dic₄₃	C₂³	1	1	yes	characteristic
273	C₂×C₂²⋊Dic₄₃	C₂³	1	1	yes	characteristic
274	C₂×C₂²⋊Dic₄₃	C₂³	1	1	yes	characteristic
275	C₂×C₂²⋊Dic₄₃	C₂³	1	1	yes	characteristic
276	C₂×C₂²⋊Dic₄₃	C₂³	1	1	yes	characteristic
277	C₂×C₂²⋊Dic₄₃	C₂³	1	1	yes	characteristic
278	C₂×C₂²⋊Dic₄₃	C₂³	1	1	yes	characteristic
279	C₂×C₂²⋊Dic₄₃	C₂³	1	1	yes	characteristic
280	C₂×C₂²⋊Dic₄₃	C₂³	1	1	yes	characteristic
281	C₂×(C₂×D₄₃)⋊C₄	C₂³	1	1	yes	characteristic
282	C₂×(C₂×D₄₃)⋊C₄	C₂³	1	1	yes	characteristic
283	C₂×(C₂×D₄₃)⋊C₄	C₂³	1	1	yes	characteristic
284	C₂×(C₂×D₄₃)⋊C₄	C₂³	1	1	yes	characteristic
285	C₂×(C₂×D₄₃)⋊C₄	C₂³	1	1	yes	characteristic
286	C₂×(C₂×D₄₃)⋊C₄	C₂³	1	1	yes	characteristic
287	C₂×(C₂×D₄₃)⋊C₄	C₂³	1	1	yes	characteristic
288	C₂×(C₂×D₄₃)⋊C₄	C₂³	1	1	yes	characteristic
289	C₂×(C₂×D₄₃)⋊C₄	C₂³	1	1	yes	characteristic
290	C₂×C₄×Dic₄₃	C₂³	1	1	yes	characteristic
291	C₂×C₄×Dic₄₃	C₂³	1	1	yes	characteristic
292	C₂×C₄×Dic₄₃	C₂³	1	1	yes	characteristic
293	C₂×C₄×Dic₄₃	C₂³	1	1	yes	characteristic
294	C₂×C₄×Dic₄₃	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	C₄₃⋊#95	C₂³	1	1	yes	characteristic
329	C₄₃⋊#95	C₂³	1	1	yes	characteristic
330	C₄₃⋊#95	C₂³	1	1	yes	characteristic
331	C₂⁵×C₄₃	C₂³	1	1	yes	characteristic
332	C₂×#41×C₄₃	—	2	4	no	—
333	C₂×#41×C₄₃	—	4	2	no	—
334	C₂×#41×C₄₃	—	4	2	no	—
335	C₂²×Q₈×C₄₃	C₂³	1	1	yes	characteristic
336	C₂²×D₄×C₄₃	C₂³	1	1	yes	characteristic
337	C₂²×D₄×C₄₃	C₂³	1	1	yes	characteristic
338	C₂²×D₄×C₄₃	C₂³	1	1	yes	characteristic
339	C₂²×D₄×C₄₃	C₂³	1	1	yes	characteristic
340	C₂²×D₄×C₄₃	C₂³	1	1	yes	characteristic
341	C₂²×D₄×C₄₃	C₂³	1	1	yes	characteristic
342	C₂²×D₄×C₄₃	C₂³	1	1	yes	characteristic
343	C₂³×C₄×C₄₃	—	2	4	no	—
344	C₂³×C₄×C₄₃	—	4	2	no	—
345	C₂³×C₄×C₄₃	—	4	2	no	—
346	C₂³×C₄×C₄₃	C₂³	1	1	yes	characteristic
347	C₂³×C₄×C₄₃	C₂³	1	1	yes	characteristic
348	C₂³×C₄×C₄₃	C₂³	1	1	yes	characteristic
349	C₂³×C₄×C₄₃	C₂³	1	1	yes	characteristic
350	C₂³×C₄×C₄₃	C₂³	1	1	yes	characteristic
351	C₂³×C₄×C₄₃	C₂³	1	1	yes	characteristic
352	C₂³×C₄×C₄₃	C₂³	1	1	yes	characteristic
353	C₂³×C₄×C₄₃	C₂³	1	1	yes	characteristic
354	#123×C₄₃	—	2	4	no	—
355	#123×C₄₃	—	2	4	no	—
356	C₂²⋊Q₈×C₄₃	—	2	4	no	—
357	C₂²⋊Q₈×C₄₃	—	2	4	no	—
358	#121×C₄₃	—	2	4	no	—
359	#121×C₄₃	—	2	4	no	—
360	#120×C₄₃	—	2	4	no	—
361	#120×C₄₃	—	2	4	no	—
362	C₄×D₄×C₄₃	—	2	4	no	—
363	C₄×D₄×C₄₃	—	2	4	no	—
364	C₄×D₄×C₄₃	—	2	4	no	—
365	C₄×D₄×C₄₃	D₄	1	8	yes	complemented
366	#117×C₄₃	—	2	4	no	—
367	C₂×C₄⋊C₄×C₄₃	C₂³	1	1	yes	characteristic
368	C₂×C₄⋊C₄×C₄₃	C₂³	1	1	yes	characteristic
369	C₂×C₄⋊C₄×C₄₃	C₂³	1	1	yes	characteristic
370	C₂×C₄⋊C₄×C₄₃	C₂³	1	1	yes	characteristic
371	C₂×C₄⋊C₄×C₄₃	C₂³	1	1	yes	characteristic
372	C₂×C₄⋊C₄×C₄₃	C₂³	1	1	yes	characteristic
373	C₂×C₂²⋊C₄×C₄₃	C₂³	1	1	yes	characteristic
374	C₂×C₂²⋊C₄×C₄₃	C₂³	1	1	yes	characteristic
375	C₂×C₂²⋊C₄×C₄₃	C₂³	1	1	yes	characteristic
376	C₂×C₂²⋊C₄×C₄₃	C₂³	1	1	yes	characteristic
377	C₂×C₂²⋊C₄×C₄₃	C₂³	1	1	yes	characteristic
378	C₂×C₂²⋊C₄×C₄₃	C₂³	1	1	yes	characteristic
379	C₂×C₂²⋊C₄×C₄₃	C₂³	1	1	yes	characteristic
380	C₂×C₂²⋊C₄×C₄₃	C₂³	1	1	yes	characteristic
381	C₂×C₂²⋊C₄×C₄₃	C₂³	1	1	yes	characteristic
382	C₂×C₂²⋊C₄×C₄₃	C₂³	1	1	yes	characteristic
383	C₂×C₄²×C₄₃	C₂³	1	1	yes	characteristic
384	C₂×C₄²×C₄₃	C₂³	1	1	yes	characteristic
385	C₂⁴×C₄₃	—	2	2	no	—
386	C₂⁴×C₄₃	—	2	2	no	—
387	C₂⁴×C₄₃	—	2	2	no	—
388	C₂⁴×C₄₃	—	4	1	no	—
389	C₂⁴×C₄₃	—	4	1	no	—
390	C₂⁴×C₄₃	—	4	1	no	—
391	C₂⁴×C₄₃	—	4	1	no	—
392	C₂⁴×C₄₃	C₂⁴	1	1	yes	characteristic
393	C₂⁴×C₄₃	C₂⁴	1	1	yes	characteristic
394	C₂⁴×C₄₃	C₂⁴	1	1	yes	characteristic
395	C₂⁴×C₄₃	C₂⁴	1	1	yes	characteristic
396	C₂⁴×C₄₃	C₂⁴	1	1	yes	characteristic
397	C₂³×D₄₃	C₂⁴	1	1	yes	characteristic
398	#41×C₄₃	—	4	16	no	—
399	C₂×Q₈×C₄₃	—	2	2	no	—
400	C₂×Q₈×C₄₃	—	2	2	no	—
401	C₂×Q₈×C₄₃	—	4	1	no	—
402	C₂×D₄×C₄₃	—	2	2	no	—
403	C₂×D₄×C₄₃	—	2	2	no	—
404	C₂×D₄×C₄₃	—	2	2	no	—
405	C₂×D₄×C₄₃	—	2	2	no	—
406	C₂×D₄×C₄₃	—	2	2	no	—
407	C₂×D₄×C₄₃	—	2	2	no	—
408	C₂×D₄×C₄₃	—	2	2	no	—
409	C₂×D₄×C₄₃	—	2	2	no	—
410	C₂×D₄×C₄₃	—	2	2	no	—
411	C₂×D₄×C₄₃	—	2	2	no	—
412	C₂×D₄×C₄₃	—	2	2	no	—
413	C₂×D₄×C₄₃	—	4	1	no	—
414	C₂×D₄×C₄₃	—	4	1	no	—
415	C₂×D₄×C₄₃	—	4	1	no	—
416	C₂×D₄×C₄₃	—	4	1	no	—
417	C₂×D₄×C₄₃	—	4	1	no	—
418	C₂×D₄×C₄₃	—	4	1	no	—
419	C₂×D₄×C₄₃	—	4	1	no	—
420	C₂×D₄×C₄₃	—	4	1	no	—
421	C₂×D₄×C₄₃	—	4	1	no	—
422	C₂×D₄×C₄₃	C₂×D₄	1	4	yes	—
423	C₂²×C₄×C₄₃	—	2	2	no	—
424	C₂²×C₄×C₄₃	—	2	2	no	—
425	C₂²×C₄×C₄₃	—	2	2	no	—
426	C₂²×C₄×C₄₃	—	2	2	no	—
427	C₂²×C₄×C₄₃	—	2	2	no	—
428	C₂²×C₄×C₄₃	—	2	2	no	—
429	C₂²×C₄×C₄₃	—	2	2	no	—
430	C₂²×C₄×C₄₃	—	2	2	no	—
431	C₂²×C₄×C₄₃	—	2	2	no	—
432	C₂²×C₄×C₄₃	—	2	2	no	—
433	C₂²×C₄×C₄₃	—	2	2	no	—
434	C₂²×C₄×C₄₃	—	4	1	no	—
435	C₂²×C₄×C₄₃	—	4	1	no	—
436	C₂²×C₄×C₄₃	—	4	1	no	—
437	C₂²×C₄×C₄₃	—	4	1	no	—
438	C₂²×C₄×C₄₃	—	4	1	no	—
439	C₂²×C₄×C₄₃	—	4	1	no	—
440	C₂²×C₄×C₄₃	—	4	1	no	—
441	C₂²×C₄×C₄₃	—	4	1	no	—
442	C₂²×C₄×C₄₃	—	4	1	no	—
443	C₂²×C₄×C₄₃	—	4	1	no	—
444	C₂²×C₄×C₄₃	—	4	1	no	—
445	C₂²×C₄×C₄₃	—	4	16	no	—
446	C₂²×C₄×C₄₃	C₂×D₄	1	4	yes	—
447	C₂²×C₄×C₄₃	C₂×D₄	1	4	yes	—
448	C₂²×C₄×C₄₃	C₂⁴	1	1	yes	characteristic
449	C₂²×C₄×C₄₃	C₂⁴	1	1	yes	characteristic
450	C₂²×C₄×C₄₃	C₂⁴	1	1	yes	characteristic
451	C₂²×C₄×C₄₃	C₂⁴	1	1	yes	characteristic
452	C₂²×C₄×C₄₃	C₂⁴	1	1	yes	characteristic
453	C₂²×C₄×C₄₃	C₂⁴	1	1	yes	characteristic
454	C₂²×C₄×C₄₃	C₂⁴	1	1	yes	characteristic
455	C₂²×C₄×C₄₃	C₂⁴	1	1	yes	characteristic
456	C₂²×C₄×C₄₃	C₂⁴	1	1	yes	characteristic
457	C₂²×C₄×C₄₃	C₂⁴	1	1	yes	characteristic
458	C₂×C₂²⋊D₄₃	—	2	2	no	—
459	C₂×C₂²⋊D₄₃	—	2	2	no	—
460	C₂×C₂²⋊D₄₃	—	2	2	no	—
461	C₂×C₂²⋊D₄₃	—	2	2	no	—
462	C₂×C₂²⋊D₄₃	—	4	1	no	—
463	C₂×C₂²⋊D₄₃	—	4	1	no	—
464	C₂×C₂²⋊D₄₃	—	4	1	no	—
465	C₂×C₂²⋊D₄₃	—	4	1	no	—
466	C₂×C₂²⋊D₄₃	—	4	1	no	—
467	C₂×C₂²⋊D₄₃	—	4	1	no	—
468	C₂×C₂²⋊D₄₃	—	4	1	no	—
469	C₂×C₂²⋊D₄₃	—	4	1	no	—
470	C₂×C₂²⋊D₄₃	—	4	1	no	—
471	C₂×C₂²⋊D₄₃	—	4	1	no	—
472	C₂×C₂²⋊D₄₃	—	4	1	no	—
473	C₂²×Dic₄₃	—	4	1	no	—
474	C₂²×Dic₄₃	—	4	1	no	—
475	C₂²×Dic₄₃	—	4	1	no	—
476	C₂²×Dic₄₃	—	4	1	no	—
477	C₂²×Dic₄₃	—	4	1	no	—
478	C₂²×Dic₄₃	—	4	1	no	—
479	C₂²×Dic₄₃	C₂⁴	1	1	yes	characteristic
480	C₂²×Dic₄₃	C₂⁴	1	1	yes	characteristic
481	C₂²×Dic₄₃	C₂⁴	1	1	yes	characteristic
482	C₂²×Dic₄₃	C₂⁴	1	1	yes	characteristic
483	C₂²×Dic₄₃	C₂⁴	1	1	yes	characteristic
484	C₂²×Dic₄₃	C₂⁴	1	1	yes	characteristic
485	C₂²×Dic₄₃	C₂⁴	1	1	yes	characteristic
486	C₂²×Dic₄₃	C₂⁴	1	1	yes	characteristic
487	C₂²×Dic₄₃	C₂⁴	1	1	yes	characteristic
488	C₂²×Dic₄₃	C₂⁴	1	1	yes	characteristic
489	C₂²×Dic₄₃	C₂⁴	1	1	yes	characteristic
490	C₂²×Dic₄₃	C₂⁴	1	1	yes	characteristic
491	C₂²×Dic₄₃	C₂⁴	1	1	yes	characteristic
492	C₂²×Dic₄₃	C₂⁴	1	1	yes	characteristic
493	C₂²×Dic₄₃	C₂⁴	1	1	yes	characteristic
494	C₂×C₄×D₄₃	—	2	2	no	—
495	C₂×C₄×D₄₃	—	4	1	no	—
496	C₂×C₄×D₄₃	—	4	1	no	—
497	C₂×Dic₈₆	—	2	2	no	—
498	C₂×Dic₈₆	—	2	2	no	—
499	C₂×Dic₈₆	—	2	2	no	—
500	C₂×Dic₈₆	—	4	1	no	—
501	C₂×Dic₈₆	—	4	1	no	—
502	C₂×Dic₈₆	—	4	1	no	—
503	C₂×Dic₈₆	—	4	1	no	—
504	C₂×Dic₈₆	—	4	1	no	—
505	C₂×Dic₈₆	—	4	1	no	—
506	C₄⋊C₄×C₄₃	—	2	2	no	—
507	C₄⋊C₄×C₄₃	—	2	2	no	—
508	C₄⋊C₄×C₄₃	—	2	2	no	—
509	C₄⋊C₄×C₄₃	—	2	2	no	—
510	C₄⋊C₄×C₄₃	—	2	2	no	—
511	C₄⋊C₄×C₄₃	C₂×D₄	1	4	yes	—
512	C₂²⋊C₄×C₄₃	—	2	2	no	—
513	C₂²⋊C₄×C₄₃	—	2	2	no	—
514	C₂²⋊C₄×C₄₃	—	2	2	no	—
515	C₂²⋊C₄×C₄₃	—	2	2	no	—
516	C₂²⋊C₄×C₄₃	—	2	2	no	—
517	C₂²⋊C₄×C₄₃	—	2	2	no	—
518	C₂²⋊C₄×C₄₃	—	2	2	no	—
519	C₂²⋊C₄×C₄₃	—	2	2	no	—
520	C₂²⋊C₄×C₄₃	C₂×D₄	1	4	yes	—
521	C₂²⋊C₄×C₄₃	C₂×D₄	1	4	yes	—
522	C₄²×C₄₃	—	2	2	no	—
523	C₄²×C₄₃	C₂×D₄	1	4	yes	—
524	C₂²⋊Dic₄₃	—	2	2	no	—
525	C₂²⋊Dic₄₃	—	2	2	no	—
526	C₂²⋊Dic₄₃	—	2	2	no	—
527	C₂²⋊Dic₄₃	—	2	2	no	—
528	C₂²⋊Dic₄₃	—	2	2	no	—
529	C₂²⋊Dic₄₃	—	2	2	no	—
530	C₂²⋊Dic₄₃	—	2	2	no	—
531	C₂²⋊Dic₄₃	—	2	2	no	—
532	C₂²⋊Dic₄₃	—	2	2	no	—
533	C₂²⋊Dic₄₃	—	2	2	no	—
534	C₂²⋊Dic₄₃	—	4	1	no	—
535	C₂²⋊Dic₄₃	—	4	1	no	—
536	C₂²⋊Dic₄₃	—	4	1	no	—
537	C₂²⋊Dic₄₃	—	4	1	no	—
538	C₂²⋊Dic₄₃	—	4	1	no	—
539	C₂²⋊Dic₄₃	—	4	1	no	—
540	C₂²⋊Dic₄₃	—	4	1	no	—
541	C₂²⋊Dic₄₃	—	4	1	no	—
542	C₂²⋊Dic₄₃	—	4	1	no	—
543	C₂²⋊Dic₄₃	—	4	1	no	—
544	C₂²⋊Dic₄₃	—	4	1	no	—
545	C₂²⋊Dic₄₃	—	4	1	no	—
546	C₂²⋊Dic₄₃	—	4	1	no	—
547	C₂²⋊Dic₄₃	—	4	1	no	—
548	C₂²⋊Dic₄₃	—	4	1	no	—
549	C₂²⋊Dic₄₃	—	4	1	no	—
550	C₂²⋊Dic₄₃	—	4	1	no	—
551	C₂²⋊Dic₄₃	—	4	1	no	—
552	C₂²⋊Dic₄₃	—	4	1	no	—
553	C₂²⋊Dic₄₃	—	4	1	no	—
554	C₂²⋊Dic₄₃	—	4	1	no	—
555	C₂²⋊Dic₄₃	—	4	1	no	—
556	C₂²⋊Dic₄₃	—	4	1	no	—
557	(C₂×D₄₃)⋊C₄	—	2	2	no	—
558	(C₂×D₄₃)⋊C₄	—	2	2	no	—
559	(C₂×D₄₃)⋊C₄	—	2	2	no	—
560	(C₂×D₄₃)⋊C₄	—	2	2	no	—
561	(C₂×D₄₃)⋊C₄	—	2	2	no	—
562	(C₂×D₄₃)⋊C₄	—	4	1	no	—
563	(C₂×D₄₃)⋊C₄	—	4	1	no	—
564	(C₂×D₄₃)⋊C₄	—	4	1	no	—
565	(C₂×D₄₃)⋊C₄	—	4	1	no	—
566	C₄⋊Dic₄₃	—	2	2	no	—
567	C₄⋊Dic₄₃	—	2	2	no	—
568	C₄⋊Dic₄₃	—	2	2	no	—
569	C₄⋊Dic₄₃	—	4	1	no	—
570	C₄⋊Dic₄₃	—	4	1	no	—
571	C₄⋊Dic₄₃	—	4	1	no	—
572	C₄⋊Dic₄₃	—	4	1	no	—
573	Dic₄₃⋊C₄	—	2	2	no	—
574	Dic₄₃⋊C₄	—	2	2	no	—
575	Dic₄₃⋊C₄	—	2	2	no	—
576	Dic₄₃⋊C₄	—	2	2	no	—
577	Dic₄₃⋊C₄	—	2	2	no	—
578	Dic₄₃⋊C₄	—	2	2	no	—
579	Dic₄₃⋊C₄	—	2	2	no	—
580	Dic₄₃⋊C₄	—	2	2	no	—
581	Dic₄₃⋊C₄	—	2	2	no	—
582	Dic₄₃⋊C₄	—	4	1	no	—
583	Dic₄₃⋊C₄	—	4	1	no	—
584	Dic₄₃⋊C₄	—	4	1	no	—
585	Dic₄₃⋊C₄	—	4	1	no	—
586	Dic₄₃⋊C₄	—	4	1	no	—
587	Dic₄₃⋊C₄	—	4	1	no	—
588	Dic₄₃⋊C₄	—	4	1	no	—
589	Dic₄₃⋊C₄	—	4	1	no	—
590	Dic₄₃⋊C₄	—	4	1	no	—
591	Dic₄₃⋊C₄	—	4	1	no	—
592	C₄×Dic₄₃	—	2	2	no	—
593	C₄×Dic₄₃	—	2	2	no	—
594	C₄×Dic₄₃	—	2	2	no	—
595	C₄×Dic₄₃	—	4	1	no	—
596	C₄×Dic₄₃	—	4	1	no	—
597	C₂³×C₄₃	—	2	1	no	—
598	C₂³×C₄₃	—	2	1	no	—
599	C₂³×C₄₃	—	2	1	no	—
600	C₂³×C₄₃	—	2	1	no	—
601	C₂³×C₄₃	—	2	1	no	—
602	C₂³×C₄₃	—	2	1	no	—
603	C₂³×C₄₃	—	2	1	no	—
604	C₂³×C₄₃	—	2	1	no	—
605	C₂³×C₄₃	—	2	1	no	—
606	C₂³×C₄₃	—	2	1	no	—
607	C₂³×C₄₃	—	2	1	no	—
608	C₂³×C₄₃	—	2	1	no	—
609	C₂³×C₄₃	—	2	1	no	—
610	C₂³×C₄₃	—	2	1	no	—
611	C₂³×C₄₃	—	2	1	no	—
612	C₂³×C₄₃	—	2	1	no	—
613	C₂³×C₄₃	—	2	1	no	—
614	C₂³×C₄₃	—	2	1	no	—
615	C₂³×C₄₃	—	2	1	no	—
616	C₂³×C₄₃	—	2	1	no	—
617	C₂³×C₄₃	—	2	1	no	—
618	C₂³×C₄₃	—	2	1	no	—
619	C₂³×C₄₃	—	2	1	no	—
620	C₂³×C₄₃	—	2	1	no	—
621	C₂³×C₄₃	—	2	1	no	—
622	C₂³×C₄₃	—	2	1	no	—
623	C₂³×C₄₃	—	2	1	no	—
624	C₂³×C₄₃	—	2	1	no	—
625	C₂³×C₄₃	—	2	1	no	—
626	C₂³×C₄₃	—	2	1	no	—
627	C₂³×C₄₃	—	2	1	no	—
628	C₂³×C₄₃	—	4	4	no	—
629	C₂³×C₄₃	—	4	4	no	—
630	C₂³×C₄₃	—	4	4	no	—
631	C₂³×C₄₃	—	4	4	no	—
632	C₂³×C₄₃	—	4	4	no	—
633	C₂³×C₄₃	—	4	4	no	—
634	C₂³×C₄₃	—	4	4	no	—
635	C₂³×C₄₃	C₂²×D₄	1	2	yes	—
636	C₂³×C₄₃	C₂²×D₄	1	2	yes	—
637	C₂³×C₄₃	H(5,𝔽₂)	1	2	yes	—
638	C₂³×C₄₃	2₋¹⁺⁴	1	2	yes	—
639	C₂³×C₄₃	C₂⁵	1	1	yes	characteristic
640	C₂²×D₄₃	—	2	1	no	—
641	C₂²×D₄₃	—	2	1	no	—
642	C₂²×D₄₃	—	2	1	no	—
643	C₂²×D₄₃	—	2	1	no	—
644	C₂²×D₄₃	—	2	1	no	—
645	C₂²×D₄₃	—	2	1	no	—
646	C₂²×D₄₃	—	2	1	no	—
647	Q₈×C₄₃	—	4	4	no	—
648	D₄×C₄₃	—	4	4	no	—
649	D₄×C₄₃	—	4	4	no	—
650	D₄×C₄₃	—	4	4	no	—
651	D₄×C₄₃	—	4	4	no	—
652	D₄×C₄₃	—	4	4	no	—
653	D₄×C₄₃	—	4	4	no	—
654	D₄×C₄₃	—	4	4	no	—
655	C₂×C₄×C₄₃	—	2	8	no	—
656	C₂×C₄×C₄₃	—	2	1	no	—
657	C₂×C₄×C₄₃	—	2	1	no	—
658	C₂×C₄×C₄₃	—	2	1	no	—
659	C₂×C₄×C₄₃	—	2	1	no	—
660	C₂×C₄×C₄₃	—	2	1	no	—
661	C₂×C₄×C₄₃	—	2	1	no	—
662	C₂×C₄×C₄₃	—	2	1	no	—
663	C₂×C₄×C₄₃	—	2	1	no	—
664	C₂×C₄×C₄₃	—	2	1	no	—
665	C₂×C₄×C₄₃	—	2	1	no	—
666	C₂×C₄×C₄₃	—	2	1	no	—
667	C₂×C₄×C₄₃	—	2	1	no	—
668	C₂×C₄×C₄₃	—	2	1	no	—
669	C₂×C₄×C₄₃	—	2	1	no	—
670	C₂×C₄×C₄₃	—	2	1	no	—
671	C₂×C₄×C₄₃	—	2	1	no	—
672	C₂×C₄×C₄₃	—	2	1	no	—
673	C₂×C₄×C₄₃	—	2	1	no	—
674	C₂×C₄×C₄₃	—	2	1	no	—
675	C₂×C₄×C₄₃	—	2	1	no	—
676	C₂×C₄×C₄₃	—	2	1	no	—
677	C₂×C₄×C₄₃	—	2	1	no	—
678	C₂×C₄×C₄₃	—	2	1	no	—
679	C₂×C₄×C₄₃	—	2	1	no	—
680	C₂×C₄×C₄₃	—	4	4	no	—
681	C₂×C₄×C₄₃	—	4	4	no	—
682	C₂×C₄×C₄₃	—	4	4	no	—
683	C₂×C₄×C₄₃	—	4	4	no	—
684	C₂×C₄×C₄₃	—	4	4	no	—
685	C₂×C₄×C₄₃	—	4	4	no	—
686	C₂×C₄×C₄₃	—	4	4	no	—
687	C₂×C₄×C₄₃	C₂²×D₄	1	2	yes	—
688	C₂×C₄×C₄₃	C₂²×D₄	1	2	yes	—
689	C₂×C₄×C₄₃	C₂²×D₄	1	2	yes	—
690	C₂×C₄×C₄₃	C₂²×D₄	1	2	yes	—
691	C₂×C₄×C₄₃	C₂²×D₄	1	2	yes	—
692	C₂×C₄×C₄₃	H(5,𝔽₂)	1	2	yes	—
693	C₂²⋊D₄₃	—	8	2	no	—
694	C₂²⋊D₄₃	—	8	2	no	—
695	C₂²⋊D₄₃	—	8	2	no	—
696	C₂²⋊D₄₃	—	8	2	no	—
697	C₂²⋊D₄₃	—	8	2	no	—
698	C₂×Dic₄₃	—	2	1	no	—
699	C₂×Dic₄₃	—	2	1	no	—
700	C₂×Dic₄₃	—	2	1	no	—
701	C₂×Dic₄₃	—	2	1	no	—
702	C₂×Dic₄₃	—	2	1	no	—
703	C₂×Dic₄₃	—	2	1	no	—
704	C₂×Dic₄₃	—	2	1	no	—
705	C₂×Dic₄₃	—	2	1	no	—
706	C₂×Dic₄₃	—	2	1	no	—
707	C₂×Dic₄₃	—	2	1	no	—
708	C₂×Dic₄₃	—	2	1	no	—
709	C₂×Dic₄₃	—	2	1	no	—
710	C₂×Dic₄₃	—	2	1	no	—
711	C₂×Dic₄₃	—	2	1	no	—
712	C₂×Dic₄₃	—	2	1	no	—
713	C₂×Dic₄₃	—	2	1	no	—
714	C₂×Dic₄₃	—	2	1	no	—
715	C₂×Dic₄₃	—	2	1	no	—
716	C₂×Dic₄₃	—	2	1	no	—
717	C₂×Dic₄₃	—	2	1	no	—
718	C₂×Dic₄₃	—	2	1	no	—
719	C₂×Dic₄₃	—	2	1	no	—
720	C₂×Dic₄₃	—	2	1	no	—
721	C₂×Dic₄₃	—	2	1	no	—
722	C₂×Dic₄₃	—	2	1	no	—
723	C₂×Dic₄₃	—	2	1	no	—
724	C₂×Dic₄₃	—	2	1	no	—
725	C₂×Dic₄₃	—	2	1	no	—
726	C₂×Dic₄₃	—	2	1	no	—
727	C₂×Dic₄₃	—	2	1	no	—
728	C₂×Dic₄₃	—	2	1	no	—
729	C₂×Dic₄₃	—	2	1	no	—
730	C₂×Dic₄₃	—	2	1	no	—
731	C₂×Dic₄₃	—	2	1	no	—
732	C₂×Dic₄₃	—	2	1	no	—
733	C₂×Dic₄₃	—	2	1	no	—
734	C₂×Dic₄₃	—	2	1	no	—
735	C₂×Dic₄₃	—	2	1	no	—
736	C₂×Dic₄₃	—	2	1	no	—
737	C₂×Dic₄₃	—	2	1	no	—
738	C₂×Dic₄₃	—	2	1	no	—
739	C₂×Dic₄₃	—	2	1	no	—
740	C₂×Dic₄₃	—	2	1	no	—
741	C₂×Dic₄₃	—	2	1	no	—
742	C₂×Dic₄₃	—	2	1	no	—
743	C₂×Dic₄₃	—	8	2	no	—
744	C₂×Dic₄₃	—	8	2	no	—
745	C₄×D₄₃	—	4	4	no	—
746	Dic₈₆	—	4	4	no	—
747	Dic₈₆	—	8	2	no	—
748	Dic₈₆	—	8	2	no	—
749	#36712	—	43	1	no	maximal, Sylow
750	C₂²×C₄₃	—	2	2	no	—
751	C₂²×C₄₃	—	2	2	no	—
752	C₂²×C₄₃	—	2	2	no	—
753	C₂²×C₄₃	—	2	2	no	—
754	C₂²×C₄₃	—	2	2	no	—
755	C₂²×C₄₃	—	2	2	no	—
756	C₂²×C₄₃	—	2	2	no	—
757	C₂²×C₄₃	—	2	2	no	—
758	C₂²×C₄₃	—	2	2	no	—
759	C₂²×C₄₃	—	2	2	no	—
760	C₂²×C₄₃	—	2	2	no	—
761	C₂²×C₄₃	—	2	2	no	—
762	C₂²×C₄₃	—	4	16	no	—
763	C₂²×C₄₃	—	4	1	no	—
764	C₂²×C₄₃	—	4	1	no	—
765	C₂²×C₄₃	—	4	1	no	—
766	C₂²×C₄₃	—	4	1	no	—
767	C₂²×C₄₃	—	4	1	no	—
768	C₂²×C₄₃	—	4	1	no	—
769	C₂²×C₄₃	—	4	1	no	—
770	C₂²×C₄₃	—	4	1	no	—
771	C₂²×C₄₃	—	4	1	no	—
772	C₂²×C₄₃	—	4	1	no	—
773	C₂²×C₄₃	—	4	1	no	—
774	C₂²×C₄₃	—	4	1	no	—
775	C₂²×C₄₃	—	4	1	no	—
776	C₂²×C₄₃	—	4	1	no	—
777	C₂²×C₄₃	—	4	1	no	—
778	C₂²×C₄₃	—	4	1	no	—
779	C₂²×C₄₃	—	4	1	no	—
780	C₂²×C₄₃	—	4	1	no	—
781	C₂²×C₄₃	—	4	1	no	—
782	C₂²×C₄₃	—	4	1	no	—
783	C₂²×C₄₃	—	4	1	no	—
784	C₂²×C₄₃	—	4	1	no	—
785	C₂²×C₄₃	—	4	1	no	—
786	C₂²×C₄₃	C₂³×D₄	1	1	yes	characteristic
787	C₂²×C₄₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
788	C₂²×C₄₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
789	C₂²×C₄₃	C₂×2₋¹⁺⁴	1	1	yes	characteristic
790	C₂²×C₄₃	#585	1	1	yes	characteristic
791	C₂²×C₄₃	#585	1	1	yes	characteristic
792	C₂²×C₄₃	#585	1	1	yes	characteristic
793	C₂×D₄₃	—	4	1	no	—
794	C₂×D₄₃	—	4	1	no	—
795	C₂×D₄₃	—	4	1	no	—
796	C₂×D₄₃	—	4	1	no	—
797	C₂×D₄₃	—	4	1	no	—
798	C₂×D₄₃	—	4	1	no	—
799	C₂×D₄₃	—	4	1	no	—
800	C₄×C₄₃	—	2	2	no	—
801	C₄×C₄₃	—	2	2	no	—
802	C₄×C₄₃	—	2	2	no	—
803	C₄×C₄₃	—	2	2	no	—
804	C₄×C₄₃	—	2	2	no	—
805	C₄×C₄₃	—	2	2	no	—
806	C₄×C₄₃	—	4	1	no	—
807	C₄×C₄₃	—	4	1	no	—
808	C₄×C₄₃	—	4	1	no	—
809	C₄×C₄₃	—	4	1	no	—
810	Dic₄₃	—	4	1	no	—
811	Dic₄₃	—	4	1	no	—
812	Dic₄₃	—	4	1	no	—
813	Dic₄₃	—	4	1	no	—
814	Dic₄₃	—	4	1	no	—
815	Dic₄₃	—	4	1	no	—
816	Dic₄₃	—	4	1	no	—
817	Dic₄₃	—	4	1	no	—
818	Dic₄₃	—	4	1	no	—
819	Dic₄₃	—	4	1	no	—
820	Dic₄₃	—	4	1	no	—
821	Dic₄₃	—	4	1	no	—
822	Dic₄₃	—	4	1	no	—
823	Dic₄₃	—	4	1	no	—
824	Dic₄₃	—	4	1	no	—
825	C₂×#542	—	43	1	no	—
826	C₂×#525	D₄₃	1	1	yes	characteristic, complemented
827	#2849	—	43	1	no	—
828	#2848	—	43	1	no	—
829	#2696	—	43	1	no	—
830	#2695	—	43	1	no	—
831	#2692	—	43	1	no	—
832	#2691	—	43	1	no	—
833	#2689	—	43	1	no	—
834	#2686	—	43	1	no	—
835	#2685	—	43	1	no	—
836	#2684	—	43	1	no	—
837	#2677	—	43	1	no	—
838	#2676	—	43	1	no	—
839	#2674	—	43	1	no	—
840	#2674	—	43	1	no	—
841	#2672	—	43	1	no	—
842	#2671	—	43	1	no	—
843	#2670	—	43	1	no	—
844	#2668	—	43	1	no	—
845	#2638	—	43	1	no	—
846	#2630	—	43	1	no	—
847	#2609	—	43	1	no	—
848	#2602	—	43	1	no	—
849	#2599	—	43	1	no	—
850	#2598	—	43	1	no	—
851	#2580	—	43	1	no	—
852	#2564	—	43	1	no	—
853	#2432	—	43	1	no	—
854	#2430	—	43	1	no	—
855	#2318	—	43	1	no	—
856	C₂×C₄₃	—	4	2	no	—
857	C₂×C₄₃	—	4	2	no	—
858	C₂×C₄₃	—	4	2	no	—
859	C₂×C₄₃	—	4	2	no	—
860	C₂×C₄₃	—	8	1	no	—
861	C₂×C₄₃	#3449	1	1	yes	characteristic
862	C₂×C₄₃	#3484	1	1	yes	characteristic
863	C₂×C₄₃	#3489	1	1	yes	characteristic
864	C₂×C₄₃	#3533	1	1	yes	characteristic
865	C₂×C₄₃	#3535	1	1	yes	characteristic
866	C₂×C₄₃	#3540	1	1	yes	characteristic
867	C₂×C₄₃	#3541	1	1	yes	characteristic
868	D₄₃	—	8	1	no	—
869	C₂²×#41	C₂×D₄₃	1	1	yes	characteristic
870	C₂⁴×C₄	C₂×D₄₃	1	1	yes	characteristic
871	#542	—	86	8	no	—
872	C₂×C₄⋊Q₈	—	43	1	no	—
873	C₂×C₄⋊Q₈	—	43	1	no	—
874	C₂×#126	—	43	1	no	—
875	C₂×#126	—	43	1	no	—
876	C₂×#124	—	43	1	no	—
877	C₂×#124	—	43	1	no	—
878	C₂×#124	—	43	1	no	—
879	C₂×#124	—	43	1	no	—
880	#525	—	2	8	no	—
881	C₂×#123	—	43	1	no	—
882	C₂×#123	—	43	1	no	—
883	C₂×#123	—	43	1	no	—
884	C₂×#123	C₂×D₄₃	1	1	yes	characteristic
885	C₂×#123	C₂×D₄₃	1	1	yes	characteristic
886	C₂×C₂²⋊Q₈	—	43	1	no	—
887	C₂×C₂²⋊Q₈	—	43	1	no	—
888	C₂×C₂²⋊Q₈	—	43	1	no	—
889	C₂×C₂²⋊Q₈	—	43	1	no	—
890	C₂×C₂²⋊Q₈	—	43	1	no	—
891	C₂×C₂²⋊Q₈	C₂×D₄₃	1	1	yes	characteristic
892	C₂×C₂²⋊Q₈	C₂×D₄₃	1	1	yes	characteristic
893	C₂×#121	—	43	1	no	—
894	C₂×#121	—	43	1	no	—
895	C₂×#121	—	43	1	no	—
896	C₂×#121	C₂×D₄₃	1	1	yes	characteristic
897	C₂×#121	C₂×D₄₃	1	1	yes	characteristic
898	C₂×#120	—	43	1	no	—
899	C₂×#120	C₂×D₄₃	1	1	yes	characteristic
900	C₂×#120	C₂×D₄₃	1	1	yes	characteristic
901	C₂×C₄×Q₈	—	43	1	no	—
902	C₂×C₄×D₄	C₂×D₄₃	1	1	yes	characteristic
903	C₂×C₄×D₄	C₂×D₄₃	1	1	yes	characteristic
904	C₂×C₄×D₄	C₂×D₄₃	1	1	yes	characteristic
905	C₂×C₄×D₄	C₂×D₄₃	1	1	yes	characteristic
906	C₂×#117	—	43	1	no	—
907	C₂×#117	C₂×D₄₃	1	1	yes	characteristic
908	#400	—	43	1	no	—
909	#400	—	43	1	no	—
910	#399	—	43	1	no	—
911	#399	—	43	1	no	—
912	#399	—	43	1	no	—
913	#399	—	43	1	no	—
914	#398	—	43	1	no	—
915	#398	—	43	1	no	—
916	#398	—	43	1	no	—
917	#398	—	43	1	no	—
918	#397	—	43	1	no	—
919	#397	—	43	1	no	—
920	#397	—	43	1	no	—
921	#397	—	43	1	no	—
922	#397	—	43	1	no	—
923	#397	—	43	1	no	—
924	#396	—	43	1	no	—
925	#396	—	43	1	no	—
926	#396	—	43	1	no	—
927	#396	—	43	1	no	—
928	#395	—	43	1	no	—
929	#395	—	43	1	no	—
930	#395	—	43	1	no	—
931	#395	—	43	1	no	—
932	#394	—	43	1	no	—
933	#394	—	43	1	no	—
934	#394	—	43	1	no	—
935	#394	—	43	1	no	—
936	#394	—	43	1	no	—
937	#394	—	43	1	no	—
938	#394	—	43	1	no	—
939	#394	—	43	1	no	—
940	#394	—	43	1	no	—
941	#394	—	43	1	no	—
942	#394	—	43	1	no	—
943	#394	—	43	1	no	—
944	#394	—	43	1	no	—
945	#394	—	43	1	no	—
946	#393	—	43	1	no	—
947	#393	—	43	1	no	—
948	#393	—	43	1	no	—
949	#393	—	43	1	no	—
950	#393	—	43	1	no	—
951	#393	—	43	1	no	—
952	#392	—	43	1	no	—
953	#392	—	43	1	no	—
954	#392	—	43	1	no	—
955	#392	—	43	1	no	—
956	#391	—	43	1	no	—
957	#390	—	43	1	no	—
958	#390	—	43	1	no	—
959	#390	—	43	1	no	—
960	#390	—	43	1	no	—
961	#389	—	43	1	no	—
962	#389	—	43	1	no	—
963	#389	—	43	1	no	—
964	#388	—	43	1	no	—
965	#388	—	43	1	no	—
966	#388	—	43	1	no	—
967	#388	—	43	1	no	—
968	#388	—	43	1	no	—
969	#388	—	43	1	no	—
970	#388	—	43	1	no	—
971	#388	—	43	1	no	—
972	#388	—	43	1	no	—
973	#388	—	43	1	no	—
974	#387	—	43	1	no	—
975	#387	—	43	1	no	—
976	#387	—	43	1	no	—
977	#387	—	43	1	no	—
978	#387	—	43	1	no	—
979	#387	—	43	1	no	—
980	#387	—	43	1	no	—
981	#387	—	43	1	no	—
982	#386	—	43	1	no	—
983	#386	—	43	1	no	—
984	#386	—	43	1	no	—
985	#386	—	43	1	no	—
986	#386	—	43	1	no	—
987	#386	—	43	1	no	—
988	#386	—	43	1	no	—
989	#386	—	43	1	no	—
990	#386	—	43	1	no	—
991	#386	—	43	1	no	—
992	#386	—	43	1	no	—
993	#386	—	43	1	no	—
994	#386	—	43	1	no	—
995	#386	—	43	1	no	—
996	#385	—	43	1	no	—
997	#385	—	43	1	no	—
998	#385	—	43	1	no	—
999	#385	—	43	1	no	—
1000	#385	—	43	1	no	—
1001	#385	—	43	1	no	—
1002	#385	—	43	1	no	—
1003	#385	—	43	1	no	—
1004	#385	—	43	1	no	—
1005	#385	—	43	1	no	—
1006	#385	—	43	1	no	—
1007	#385	—	43	1	no	—
1008	#385	—	43	1	no	—
1009	#385	—	43	1	no	—
1010	#385	—	43	1	no	—
1011	#385	—	43	1	no	—
1012	#383	—	43	1	no	—
1013	#382	—	43	1	no	—
1014	#381	—	43	1	no	—
1015	#381	—	43	1	no	—
1016	#380	—	43	1	no	—
1017	#380	—	43	1	no	—
1018	#380	—	43	1	no	—
1019	#380	—	43	1	no	—
1020	#380	—	43	1	no	—
1021	#379	—	43	1	no	—
1022	#379	—	43	1	no	—
1023	#379	—	43	1	no	—
1024	C₄×C₂²⋊C₄	—	43	1	no	—
1025	C₂×#95	—	43	1	no	—
1026	C₄₃	#36712	1	1	yes	characteristic, complemented, Sylow
1027	C₂⁵	C₂²×D₄₃	1	1	yes	characteristic
1028	C₂×#41	—	2	4	no	—
1029	C₂×#41	—	4	2	no	—
1030	C₂×#41	—	4	2	no	—
1031	C₂²×Q₈	—	43	1	no	—
1032	C₂²×Q₈	—	43	1	no	—
1033	C₂²×Q₈	—	43	1	no	—
1034	C₂²×Q₈	C₂²×D₄₃	1	1	yes	characteristic
1035	C₂²×D₄	—	43	1	no	—
1036	C₂²×D₄	—	43	1	no	—
1037	C₂²×D₄	—	43	1	no	—
1038	C₂²×D₄	—	43	1	no	—
1039	C₂²×D₄	—	43	1	no	—
1040	C₂²×D₄	C₂²×D₄₃	1	1	yes	characteristic
1041	C₂²×D₄	C₂²×D₄₃	1	1	yes	characteristic
1042	C₂²×D₄	C₂²×D₄₃	1	1	yes	characteristic
1043	C₂²×D₄	C₂²×D₄₃	1	1	yes	characteristic
1044	C₂²×D₄	C₂²×D₄₃	1	1	yes	characteristic
1045	C₂²×D₄	C₂²×D₄₃	1	1	yes	characteristic
1046	C₂²×D₄	C₂²×D₄₃	1	1	yes	characteristic
1047	C₂³×C₄	—	2	4	no	—
1048	C₂³×C₄	—	4	2	no	—
1049	C₂³×C₄	—	4	2	no	—
1050	C₂³×C₄	—	43	1	no	—
1051	C₂³×C₄	—	43	1	no	—
1052	C₂³×C₄	—	43	1	no	—
1053	C₂³×C₄	C₂²×D₄₃	1	1	yes	characteristic
1054	C₂³×C₄	C₂²×D₄₃	1	1	yes	characteristic
1055	C₂³×C₄	C₂²×D₄₃	1	1	yes	characteristic
1056	C₂³×C₄	C₂²×D₄₃	1	1	yes	characteristic
1057	C₂³×C₄	C₂²×D₄₃	1	1	yes	characteristic
1058	C₂³×C₄	C₂²×D₄₃	1	1	yes	characteristic
1059	C₂³×C₄	C₂²×D₄₃	1	1	yes	characteristic
1060	C₂³×C₄	C₂²×D₄₃	1	1	yes	characteristic
1061	C₄⋊Q₈	—	86	4	no	—
1062	C₄⋊Q₈	—	172	2	no	—
1063	#126	—	86	4	no	—
1064	#126	—	86	4	no	—
1065	#124	—	86	4	no	—
1066	#124	—	86	4	no	—
1067	#124	—	86	4	no	—
1068	#124	—	172	2	no	—
1069	#123	—	2	4	no	—
1070	#123	—	2	4	no	—
1071	#123	—	86	4	no	—
1072	#123	—	86	4	no	—
1073	#123	—	172	2	no	—
1074	C₂²⋊Q₈	—	2	4	no	—
1075	C₂²⋊Q₈	—	2	4	no	—
1076	C₂²⋊Q₈	—	86	4	no	—
1077	C₂²⋊Q₈	—	86	4	no	—
1078	C₂²⋊Q₈	—	86	4	no	—
1079	C₂²⋊Q₈	—	172	2	no	—
1080	C₂²⋊Q₈	—	172	2	no	—
1081	#121	—	2	4	no	—
1082	#121	—	2	4	no	—
1083	#121	—	86	4	no	—
1084	#121	—	172	2	no	—
1085	#121	—	172	2	no	—
1086	#120	—	2	4	no	—
1087	#120	—	2	4	no	—
1088	#120	—	172	2	no	—
1089	C₄×Q₈	—	86	4	no	—
1090	C₄×D₄	—	2	4	no	—
1091	C₄×D₄	—	2	4	no	—
1092	C₄×D₄	—	2	4	no	—
1093	C₄×D₄	C₂²⋊D₄₃	1	8	yes	complemented
1094	#117	—	2	4	no	—
1095	#117	—	86	4	no	—
1096	C₂×C₄⋊C₄	—	43	1	no	—
1097	C₂×C₄⋊C₄	—	43	1	no	—
1098	C₂×C₄⋊C₄	—	43	1	no	—
1099	C₂×C₄⋊C₄	—	43	1	no	—
1100	C₂×C₄⋊C₄	—	43	1	no	—
1101	C₂×C₄⋊C₄	—	43	1	no	—
1102	C₂×C₄⋊C₄	—	43	1	no	—
1103	C₂×C₄⋊C₄	—	43	1	no	—
1104	C₂×C₄⋊C₄	—	43	1	no	—
1105	C₂×C₄⋊C₄	—	43	1	no	—
1106	C₂×C₄⋊C₄	—	43	1	no	—
1107	C₂×C₄⋊C₄	—	43	1	no	—
1108	C₂×C₄⋊C₄	—	43	1	no	—
1109	C₂×C₄⋊C₄	—	43	1	no	—
1110	C₂×C₄⋊C₄	—	43	1	no	—
1111	C₂×C₄⋊C₄	—	43	1	no	—
1112	C₂×C₄⋊C₄	—	43	1	no	—
1113	C₂×C₄⋊C₄	—	43	1	no	—
1114	C₂×C₄⋊C₄	—	43	1	no	—
1115	C₂×C₄⋊C₄	—	43	1	no	—
1116	C₂×C₄⋊C₄	—	43	1	no	—
1117	C₂×C₄⋊C₄	—	43	1	no	—
1118	C₂×C₄⋊C₄	—	43	1	no	—
1119	C₂×C₄⋊C₄	—	43	1	no	—
1120	C₂×C₄⋊C₄	—	43	1	no	—
1121	C₂×C₄⋊C₄	—	43	1	no	—
1122	C₂×C₄⋊C₄	C₂²×D₄₃	1	1	yes	characteristic
1123	C₂×C₄⋊C₄	C₂²×D₄₃	1	1	yes	characteristic
1124	C₂×C₄⋊C₄	C₂²×D₄₃	1	1	yes	characteristic
1125	C₂×C₄⋊C₄	C₂²×D₄₃	1	1	yes	characteristic
1126	C₂×C₄⋊C₄	C₂²×D₄₃	1	1	yes	characteristic
1127	C₂×C₄⋊C₄	C₂²×D₄₃	1	1	yes	characteristic
1128	C₂×C₂²⋊C₄	—	43	1	no	—
1129	C₂×C₂²⋊C₄	—	43	1	no	—
1130	C₂×C₂²⋊C₄	—	43	1	no	—
1131	C₂×C₂²⋊C₄	—	43	1	no	—
1132	C₂×C₂²⋊C₄	—	43	1	no	—
1133	C₂×C₂²⋊C₄	—	43	1	no	—
1134	C₂×C₂²⋊C₄	—	43	1	no	—
1135	C₂×C₂²⋊C₄	—	43	1	no	—
1136	C₂×C₂²⋊C₄	—	43	1	no	—
1137	C₂×C₂²⋊C₄	—	43	1	no	—
1138	C₂×C₂²⋊C₄	—	43	1	no	—
1139	C₂×C₂²⋊C₄	—	43	1	no	—
1140	C₂×C₂²⋊C₄	—	43	1	no	—
1141	C₂×C₂²⋊C₄	—	43	1	no	—
1142	C₂×C₂²⋊C₄	—	43	1	no	—
1143	C₂×C₂²⋊C₄	—	43	1	no	—
1144	C₂×C₂²⋊C₄	—	43	1	no	—
1145	C₂×C₂²⋊C₄	—	43	1	no	—
1146	C₂×C₂²⋊C₄	—	43	1	no	—
1147	C₂×C₂²⋊C₄	—	43	1	no	—
1148	C₂×C₂²⋊C₄	—	43	1	no	—
1149	C₂×C₂²⋊C₄	—	43	1	no	—
1150	C₂×C₂²⋊C₄	—	43	1	no	—
1151	C₂×C₂²⋊C₄	—	43	1	no	—
1152	C₂×C₂²⋊C₄	—	43	1	no	—
1153	C₂×C₂²⋊C₄	—	43	1	no	—
1154	C₂×C₂²⋊C₄	—	43	1	no	—
1155	C₂×C₂²⋊C₄	—	43	1	no	—
1156	C₂×C₂²⋊C₄	—	43	1	no	—
1157	C₂×C₂²⋊C₄	—	43	1	no	—
1158	C₂×C₂²⋊C₄	—	43	1	no	—
1159	C₂×C₂²⋊C₄	—	43	1	no	—
1160	C₂×C₂²⋊C₄	—	43	1	no	—
1161	C₂×C₂²⋊C₄	—	43	1	no	—
1162	C₂×C₂²⋊C₄	—	43	1	no	—
1163	C₂×C₂²⋊C₄	—	43	1	no	—
1164	C₂×C₂²⋊C₄	—	43	1	no	—
1165	C₂×C₂²⋊C₄	—	43	1	no	—
1166	C₂×C₂²⋊C₄	—	43	1	no	—
1167	C₂×C₂²⋊C₄	—	43	1	no	—
1168	C₂×C₂²⋊C₄	—	43	1	no	—
1169	C₂×C₂²⋊C₄	—	43	1	no	—
1170	C₂×C₂²⋊C₄	C₂²×D₄₃	1	1	yes	characteristic
1171	C₂×C₂²⋊C₄	C₂²×D₄₃	1	1	yes	characteristic
1172	C₂×C₂²⋊C₄	C₂²×D₄₃	1	1	yes	characteristic
1173	C₂×C₂²⋊C₄	C₂²×D₄₃	1	1	yes	characteristic
1174	C₂×C₂²⋊C₄	C₂²×D₄₃	1	1	yes	characteristic
1175	C₂×C₂²⋊C₄	C₂²×D₄₃	1	1	yes	characteristic
1176	C₂×C₂²⋊C₄	C₂²×D₄₃	1	1	yes	characteristic
1177	C₂×C₂²⋊C₄	C₂²×D₄₃	1	1	yes	characteristic
1178	C₂×C₂²⋊C₄	C₂²×D₄₃	1	1	yes	characteristic
1179	C₂×C₂²⋊C₄	C₂²×D₄₃	1	1	yes	characteristic
1180	C₂×C₄²	—	43	1	no	—
1181	C₂×C₄²	—	43	1	no	—
1182	C₂×C₄²	—	43	1	no	—
1183	C₂×C₄²	—	43	1	no	—
1184	C₂×C₄²	—	43	1	no	—
1185	C₂×C₄²	C₂²×D₄₃	1	1	yes	characteristic
1186	C₂×C₄²	C₂²×D₄₃	1	1	yes	characteristic
1187	#95	—	43	1	no	—
1188	#95	—	43	1	no	—
1189	#95	—	43	1	no	—
1190	#95	—	43	1	no	—
1191	#95	—	43	1	no	—
1192	#95	—	43	1	no	—
1193	#95	—	43	1	no	—
1194	#95	—	43	1	no	—
1195	#95	—	43	1	no	—
1196	#95	—	43	1	no	—
1197	#95	—	43	1	no	—
1198	#95	—	43	1	no	—
1199	#95	—	43	1	no	—
1200	#95	—	43	1	no	—
1201	#95	—	43	1	no	—
1202	#95	—	43	1	no	—
1203	#95	—	43	1	no	—
1204	#95	—	43	1	no	—
1205	#95	—	43	1	no	—
1206	#95	—	43	1	no	—
1207	#95	—	43	1	no	—
1208	#95	—	43	1	no	—
1209	#95	—	43	1	no	—
1210	#95	—	43	1	no	—
1211	#95	—	43	1	no	—
1212	#95	—	43	1	no	—
1213	#95	—	43	1	no	—
1214	#95	—	43	1	no	—
1215	#95	—	43	1	no	—
1216	#95	—	43	1	no	—
1217	#95	—	43	1	no	—
1218	#95	—	43	1	no	—
1219	#95	—	43	1	no	—
1220	#95	—	43	1	no	—
1221	#95	—	43	1	no	—
1222	#95	—	43	1	no	—
1223	C₂⁴	—	2	2	no	—
1224	C₂⁴	—	2	2	no	—
1225	C₂⁴	—	2	2	no	—
1226	C₂⁴	—	4	1	no	—
1227	C₂⁴	—	4	1	no	—
1228	C₂⁴	—	4	1	no	—
1229	C₂⁴	—	4	1	no	—
1230	C₂⁴	—	43	1	no	—
1231	C₂⁴	C₂³×D₄₃	1	1	yes	characteristic
1232	C₂⁴	C₂³×D₄₃	1	1	yes	characteristic
1233	C₂⁴	C₂³×D₄₃	1	1	yes	characteristic
1234	C₂⁴	C₂³×D₄₃	1	1	yes	characteristic
1235	C₂⁴	C₂³×D₄₃	1	1	yes	characteristic
1236	#41	—	4	16	no	—
1237	C₂×Q₈	—	2	2	no	—
1238	C₂×Q₈	—	2	2	no	—
1239	C₂×Q₈	—	4	1	no	—
1240	C₂×Q₈	—	86	2	no	—
1241	C₂×Q₈	—	86	2	no	—
1242	C₂×Q₈	—	86	2	no	—
1243	C₂×Q₈	—	172	1	no	—
1244	C₂×Q₈	—	172	1	no	—
1245	C₂×Q₈	—	172	1	no	—
1246	C₂×Q₈	—	172	1	no	—
1247	C₂×Q₈	—	172	1	no	—
1248	C₂×Q₈	—	172	1	no	—
1249	C₂×D₄	—	2	2	no	—
1250	C₂×D₄	—	2	2	no	—
1251	C₂×D₄	—	2	2	no	—
1252	C₂×D₄	—	2	2	no	—
1253	C₂×D₄	—	2	2	no	—
1254	C₂×D₄	—	2	2	no	—
1255	C₂×D₄	—	2	2	no	—
1256	C₂×D₄	—	2	2	no	—
1257	C₂×D₄	—	2	2	no	—
1258	C₂×D₄	—	2	2	no	—
1259	C₂×D₄	—	2	2	no	—
1260	C₂×D₄	—	4	1	no	—
1261	C₂×D₄	—	4	1	no	—
1262	C₂×D₄	—	4	1	no	—
1263	C₂×D₄	—	4	1	no	—
1264	C₂×D₄	—	4	1	no	—
1265	C₂×D₄	—	4	1	no	—
1266	C₂×D₄	—	4	1	no	—
1267	C₂×D₄	—	4	1	no	—
1268	C₂×D₄	—	4	1	no	—
1269	C₂×D₄	—	86	2	no	—
1270	C₂×D₄	—	86	2	no	—
1271	C₂×D₄	—	86	2	no	—
1272	C₂×D₄	—	86	2	no	—
1273	C₂×D₄	—	172	1	no	—
1274	C₂×D₄	—	172	1	no	—
1275	C₂×D₄	—	172	1	no	—
1276	C₂×D₄	—	172	1	no	—
1277	C₂×D₄	—	172	1	no	—
1278	C₂×D₄	—	172	1	no	—
1279	C₂×D₄	—	172	1	no	—
1280	C₂×D₄	—	172	1	no	—
1281	C₂×D₄	—	172	1	no	—
1282	C₂×D₄	—	172	1	no	—
1283	C₂×D₄	—	172	1	no	—
1284	C₂×D₄	C₂×C₂²⋊D₄₃	1	4	yes	—
1285	C₂²×C₄	—	2	2	no	—
1286	C₂²×C₄	—	2	2	no	—
1287	C₂²×C₄	—	2	2	no	—
1288	C₂²×C₄	—	2	2	no	—
1289	C₂²×C₄	—	2	2	no	—
1290	C₂²×C₄	—	2	2	no	—
1291	C₂²×C₄	—	2	2	no	—
1292	C₂²×C₄	—	2	2	no	—
1293	C₂²×C₄	—	2	2	no	—
1294	C₂²×C₄	—	2	2	no	—
1295	C₂²×C₄	—	2	2	no	—
1296	C₂²×C₄	—	4	1	no	—
1297	C₂²×C₄	—	4	1	no	—
1298	C₂²×C₄	—	4	1	no	—
1299	C₂²×C₄	—	4	1	no	—
1300	C₂²×C₄	—	4	1	no	—
1301	C₂²×C₄	—	4	1	no	—
1302	C₂²×C₄	—	4	1	no	—
1303	C₂²×C₄	—	4	1	no	—
1304	C₂²×C₄	—	4	1	no	—
1305	C₂²×C₄	—	4	1	no	—
1306	C₂²×C₄	—	4	1	no	—
1307	C₂²×C₄	—	4	16	no	—
1308	C₂²×C₄	—	43	1	no	—
1309	C₂²×C₄	—	43	1	no	—
1310	C₂²×C₄	—	43	1	no	—
1311	C₂²×C₄	—	43	1	no	—
1312	C₂²×C₄	—	43	1	no	—
1313	C₂²×C₄	—	43	1	no	—
1314	C₂²×C₄	—	43	1	no	—
1315	C₂²×C₄	—	43	1	no	—
1316	C₂²×C₄	—	43	1	no	—
1317	C₂²×C₄	—	43	1	no	—
1318	C₂²×C₄	—	43	1	no	—
1319	C₂²×C₄	—	43	1	no	—
1320	C₂²×C₄	—	43	1	no	—
1321	C₂²×C₄	—	43	1	no	—
1322	C₂²×C₄	—	43	1	no	—
1323	C₂²×C₄	—	86	2	no	—
1324	C₂²×C₄	—	172	1	no	—
1325	C₂²×C₄	—	172	1	no	—
1326	C₂²×C₄	—	172	1	no	—
1327	C₂²×C₄	—	172	1	no	—
1328	C₂²×C₄	—	172	1	no	—
1329	C₂²×C₄	—	172	1	no	—
1330	C₂²×C₄	—	172	1	no	—
1331	C₂²×C₄	—	172	1	no	—
1332	C₂²×C₄	C₂×C₂²⋊D₄₃	1	4	yes	—
1333	C₂²×C₄	C₂×C₂²⋊D₄₃	1	4	yes	—
1334	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
1335	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
1336	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
1337	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
1338	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
1339	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
1340	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
1341	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
1342	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
1343	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
1344	C₄⋊C₄	—	2	2	no	—
1345	C₄⋊C₄	—	2	2	no	—
1346	C₄⋊C₄	—	2	2	no	—
1347	C₄⋊C₄	—	2	2	no	—
1348	C₄⋊C₄	—	2	2	no	—
1349	C₄⋊C₄	—	86	2	no	—
1350	C₄⋊C₄	—	86	2	no	—
1351	C₄⋊C₄	—	86	2	no	—
1352	C₄⋊C₄	—	86	2	no	—
1353	C₄⋊C₄	—	86	2	no	—
1354	C₄⋊C₄	—	86	2	no	—
1355	C₄⋊C₄	—	86	2	no	—
1356	C₄⋊C₄	—	86	2	no	—
1357	C₄⋊C₄	—	86	2	no	—
1358	C₄⋊C₄	—	86	2	no	—
1359	C₄⋊C₄	—	86	2	no	—
1360	C₄⋊C₄	—	86	2	no	—
1361	C₄⋊C₄	—	172	1	no	—
1362	C₄⋊C₄	—	172	1	no	—
1363	C₄⋊C₄	—	172	1	no	—
1364	C₄⋊C₄	—	172	1	no	—
1365	C₄⋊C₄	—	172	1	no	—
1366	C₄⋊C₄	—	172	1	no	—
1367	C₄⋊C₄	—	172	1	no	—
1368	C₄⋊C₄	—	172	1	no	—
1369	C₄⋊C₄	—	172	1	no	—
1370	C₄⋊C₄	—	172	1	no	—
1371	C₄⋊C₄	—	172	1	no	—
1372	C₄⋊C₄	—	172	1	no	—
1373	C₄⋊C₄	—	172	1	no	—
1374	C₄⋊C₄	—	172	1	no	—
1375	C₄⋊C₄	C₂×C₂²⋊D₄₃	1	4	yes	—
1376	C₂²⋊C₄	—	2	2	no	—
1377	C₂²⋊C₄	—	2	2	no	—
1378	C₂²⋊C₄	—	2	2	no	—
1379	C₂²⋊C₄	—	2	2	no	—
1380	C₂²⋊C₄	—	2	2	no	—
1381	C₂²⋊C₄	—	2	2	no	—
1382	C₂²⋊C₄	—	2	2	no	—
1383	C₂²⋊C₄	—	2	2	no	—
1384	C₂²⋊C₄	—	86	2	no	—
1385	C₂²⋊C₄	—	86	2	no	—
1386	C₂²⋊C₄	—	86	2	no	—
1387	C₂²⋊C₄	—	86	2	no	—
1388	C₂²⋊C₄	—	86	2	no	—
1389	C₂²⋊C₄	—	86	2	no	—
1390	C₂²⋊C₄	—	86	2	no	—
1391	C₂²⋊C₄	—	86	2	no	—
1392	C₂²⋊C₄	—	86	2	no	—
1393	C₂²⋊C₄	—	86	2	no	—
1394	C₂²⋊C₄	—	86	2	no	—
1395	C₂²⋊C₄	—	86	2	no	—
1396	C₂²⋊C₄	—	86	2	no	—
1397	C₂²⋊C₄	—	86	2	no	—
1398	C₂²⋊C₄	—	86	2	no	—
1399	C₂²⋊C₄	—	172	1	no	—
1400	C₂²⋊C₄	—	172	1	no	—
1401	C₂²⋊C₄	—	172	1	no	—
1402	C₂²⋊C₄	—	172	1	no	—
1403	C₂²⋊C₄	—	172	1	no	—
1404	C₂²⋊C₄	—	172	1	no	—
1405	C₂²⋊C₄	—	172	1	no	—
1406	C₂²⋊C₄	—	172	1	no	—
1407	C₂²⋊C₄	—	172	1	no	—
1408	C₂²⋊C₄	—	172	1	no	—
1409	C₂²⋊C₄	—	172	1	no	—
1410	C₂²⋊C₄	—	172	1	no	—
1411	C₂²⋊C₄	—	172	1	no	—
1412	C₂²⋊C₄	—	172	1	no	—
1413	C₂²⋊C₄	—	172	1	no	—
1414	C₂²⋊C₄	—	172	1	no	—
1415	C₂²⋊C₄	—	172	1	no	—
1416	C₂²⋊C₄	—	172	1	no	—
1417	C₂²⋊C₄	—	172	1	no	—
1418	C₂²⋊C₄	—	172	1	no	—
1419	C₂²⋊C₄	—	172	1	no	—
1420	C₂²⋊C₄	—	172	1	no	—
1421	C₂²⋊C₄	—	172	1	no	—
1422	C₂²⋊C₄	—	172	1	no	—
1423	C₂²⋊C₄	—	172	1	no	—
1424	C₂²⋊C₄	—	172	1	no	—
1425	C₂²⋊C₄	—	172	1	no	—
1426	C₂²⋊C₄	C₂×C₂²⋊D₄₃	1	4	yes	—
1427	C₂²⋊C₄	C₂×C₂²⋊D₄₃	1	4	yes	—
1428	C₄²	—	2	2	no	—
1429	C₄²	—	86	2	no	—
1430	C₄²	—	86	2	no	—
1431	C₄²	—	86	2	no	—
1432	C₄²	—	172	1	no	—
1433	C₄²	—	172	1	no	—
1434	C₄²	C₂×C₂²⋊D₄₃	1	4	yes	—
1435	C₂³	—	2	1	no	—
1436	C₂³	—	2	1	no	—
1437	C₂³	—	2	1	no	—
1438	C₂³	—	2	1	no	—
1439	C₂³	—	2	1	no	—
1440	C₂³	—	2	1	no	—
1441	C₂³	—	2	1	no	—
1442	C₂³	—	2	1	no	—
1443	C₂³	—	2	1	no	—
1444	C₂³	—	2	1	no	—
1445	C₂³	—	2	1	no	—
1446	C₂³	—	2	1	no	—
1447	C₂³	—	2	1	no	—
1448	C₂³	—	2	1	no	—
1449	C₂³	—	2	1	no	—
1450	C₂³	—	2	1	no	—
1451	C₂³	—	2	1	no	—
1452	C₂³	—	2	1	no	—
1453	C₂³	—	2	1	no	—
1454	C₂³	—	2	1	no	—
1455	C₂³	—	2	1	no	—
1456	C₂³	—	2	1	no	—
1457	C₂³	—	2	1	no	—
1458	C₂³	—	2	1	no	—
1459	C₂³	—	2	1	no	—
1460	C₂³	—	2	1	no	—
1461	C₂³	—	2	1	no	—
1462	C₂³	—	2	1	no	—
1463	C₂³	—	2	1	no	—
1464	C₂³	—	2	1	no	—
1465	C₂³	—	2	1	no	—
1466	C₂³	—	4	4	no	—
1467	C₂³	—	4	4	no	—
1468	C₂³	—	4	4	no	—
1469	C₂³	—	4	4	no	—
1470	C₂³	—	4	4	no	—
1471	C₂³	—	4	4	no	—
1472	C₂³	—	4	4	no	—
1473	C₂³	—	86	1	no	—
1474	C₂³	—	86	1	no	—
1475	C₂³	—	86	1	no	—
1476	C₂³	—	86	1	no	—
1477	C₂³	—	86	1	no	—
1478	C₂³	—	86	1	no	—
1479	C₂³	—	86	1	no	—
1480	C₂³	C₂²×C₂²⋊D₄₃	1	2	yes	—
1481	C₂³	C₂²×C₂²⋊D₄₃	1	2	yes	—
1482	C₂³	#13063370	1	2	yes	—
1483	C₂³	#13063372	1	2	yes	—
1484	C₂³	C₂⁴×D₄₃	1	1	yes	characteristic
1485	Q₈	—	4	4	no	—
1486	Q₈	—	344	2	no	—
1487	Q₈	—	344	2	no	—
1488	Q₈	—	172	4	no	—
1489	D₄	—	4	4	no	—
1490	D₄	—	4	4	no	—
1491	D₄	—	4	4	no	—
1492	D₄	—	4	4	no	—
1493	D₄	—	4	4	no	—
1494	D₄	—	4	4	no	—
1495	D₄	—	4	4	no	—
1496	D₄	—	344	2	no	—
1497	D₄	—	344	2	no	—
1498	D₄	—	344	2	no	—
1499	D₄	—	344	2	no	—
1500	D₄	—	344	2	no	—
1501	C₂×C₄	—	2	8	no	—
1502	C₂×C₄	—	2	1	no	—
1503	C₂×C₄	—	2	1	no	—
1504	C₂×C₄	—	2	1	no	—
1505	C₂×C₄	—	2	1	no	—
1506	C₂×C₄	—	2	1	no	—
1507	C₂×C₄	—	2	1	no	—
1508	C₂×C₄	—	2	1	no	—
1509	C₂×C₄	—	2	1	no	—
1510	C₂×C₄	—	2	1	no	—
1511	C₂×C₄	—	2	1	no	—
1512	C₂×C₄	—	2	1	no	—
1513	C₂×C₄	—	2	1	no	—
1514	C₂×C₄	—	2	1	no	—
1515	C₂×C₄	—	2	1	no	—
1516	C₂×C₄	—	2	1	no	—
1517	C₂×C₄	—	2	1	no	—
1518	C₂×C₄	—	2	1	no	—
1519	C₂×C₄	—	2	1	no	—
1520	C₂×C₄	—	2	1	no	—
1521	C₂×C₄	—	2	1	no	—
1522	C₂×C₄	—	2	1	no	—
1523	C₂×C₄	—	2	1	no	—
1524	C₂×C₄	—	2	1	no	—
1525	C₂×C₄	—	2	1	no	—
1526	C₂×C₄	—	4	4	no	—
1527	C₂×C₄	—	4	4	no	—
1528	C₂×C₄	—	4	4	no	—
1529	C₂×C₄	—	4	4	no	—
1530	C₂×C₄	—	4	4	no	—
1531	C₂×C₄	—	4	4	no	—
1532	C₂×C₄	—	4	4	no	—
1533	C₂×C₄	—	86	1	no	—
1534	C₂×C₄	—	86	1	no	—
1535	C₂×C₄	—	86	1	no	—
1536	C₂×C₄	—	86	1	no	—
1537	C₂×C₄	—	86	1	no	—
1538	C₂×C₄	—	86	1	no	—
1539	C₂×C₄	—	86	1	no	—
1540	C₂×C₄	—	86	1	no	—
1541	C₂×C₄	—	86	1	no	—
1542	C₂×C₄	—	86	1	no	—
1543	C₂×C₄	—	86	1	no	—
1544	C₂×C₄	—	86	1	no	—
1545	C₂×C₄	—	86	1	no	—
1546	C₂×C₄	—	86	1	no	—
1547	C₂×C₄	—	86	1	no	—
1548	C₂×C₄	—	86	1	no	—
1549	C₂×C₄	—	86	1	no	—
1550	C₂×C₄	—	86	1	no	—
1551	C₂×C₄	—	86	1	no	—
1552	C₂×C₄	—	86	1	no	—
1553	C₂×C₄	—	86	1	no	—
1554	C₂×C₄	—	86	1	no	—
1555	C₂×C₄	—	86	1	no	—
1556	C₂×C₄	—	86	1	no	—
1557	C₂×C₄	—	86	1	no	—
1558	C₂×C₄	—	86	1	no	—
1559	C₂×C₄	—	86	1	no	—
1560	C₂×C₄	—	86	1	no	—
1561	C₂×C₄	—	86	1	no	—
1562	C₂×C₄	—	86	1	no	—
1563	C₂×C₄	—	86	1	no	—
1564	C₂×C₄	—	86	1	no	—
1565	C₂×C₄	—	86	1	no	—
1566	C₂×C₄	—	86	1	no	—
1567	C₂×C₄	—	86	1	no	—
1568	C₂×C₄	—	86	1	no	—
1569	C₂×C₄	—	86	1	no	—
1570	C₂×C₄	—	86	1	no	—
1571	C₂×C₄	—	86	1	no	—
1572	C₂×C₄	—	86	1	no	—
1573	C₂×C₄	—	86	1	no	—
1574	C₂×C₄	—	86	1	no	—
1575	C₂×C₄	—	86	1	no	—
1576	C₂×C₄	—	86	1	no	—
1577	C₂×C₄	—	86	1	no	—
1578	C₂×C₄	—	344	2	no	—
1579	C₂×C₄	—	344	2	no	—
1580	C₂×C₄	—	172	4	no	—
1581	C₂×C₄	C₂²×C₂²⋊D₄₃	1	2	yes	—
1582	C₂×C₄	C₂²×C₂²⋊D₄₃	1	2	yes	—
1583	C₂×C₄	C₂²×C₂²⋊D₄₃	1	2	yes	—
1584	C₂×C₄	C₂²×C₂²⋊D₄₃	1	2	yes	—
1585	C₂×C₄	C₂²×C₂²⋊D₄₃	1	2	yes	—
1586	C₂×C₄	#13063370	1	2	yes	—
1587	C₂²	—	2	2	no	—
1588	C₂²	—	2	2	no	—
1589	C₂²	—	2	2	no	—
1590	C₂²	—	2	2	no	—
1591	C₂²	—	2	2	no	—
1592	C₂²	—	2	2	no	—
1593	C₂²	—	2	2	no	—
1594	C₂²	—	2	2	no	—
1595	C₂²	—	2	2	no	—
1596	C₂²	—	2	2	no	—
1597	C₂²	—	2	2	no	—
1598	C₂²	—	2	2	no	—
1599	C₂²	—	4	16	no	—
1600	C₂²	—	4	1	no	—
1601	C₂²	—	4	1	no	—
1602	C₂²	—	4	1	no	—
1603	C₂²	—	4	1	no	—
1604	C₂²	—	4	1	no	—
1605	C₂²	—	4	1	no	—
1606	C₂²	—	4	1	no	—
1607	C₂²	—	4	1	no	—
1608	C₂²	—	4	1	no	—
1609	C₂²	—	4	1	no	—
1610	C₂²	—	4	1	no	—
1611	C₂²	—	4	1	no	—
1612	C₂²	—	4	1	no	—
1613	C₂²	—	4	1	no	—
1614	C₂²	—	4	1	no	—
1615	C₂²	—	4	1	no	—
1616	C₂²	—	4	1	no	—
1617	C₂²	—	4	1	no	—
1618	C₂²	—	4	1	no	—
1619	C₂²	—	4	1	no	—
1620	C₂²	—	4	1	no	—
1621	C₂²	—	4	1	no	—
1622	C₂²	—	4	1	no	—
1623	C₂²	—	172	1	no	—
1624	C₂²	—	172	1	no	—
1625	C₂²	—	172	1	no	—
1626	C₂²	—	172	1	no	—
1627	C₂²	—	172	1	no	—
1628	C₂²	—	172	1	no	—
1629	C₂²	—	172	1	no	—
1630	C₂²	C₂³×C₂²⋊D₄₃	1	1	yes	characteristic
1631	C₂²	C₂×#13063370	1	1	yes	characteristic
1632	C₂²	C₂×#13063370	1	1	yes	characteristic
1633	C₂²	C₂×#13063372	1	1	yes	characteristic
1634	C₂²	#14583735	1	1	yes	characteristic
1635	C₂²	#14583735	1	1	yes	characteristic
1636	C₂²	#14583735	1	1	yes	characteristic
1637	C₄	—	2	2	no	—
1638	C₄	—	2	2	no	—
1639	C₄	—	2	2	no	—
1640	C₄	—	2	2	no	—
1641	C₄	—	2	2	no	—
1642	C₄	—	2	2	no	—
1643	C₄	—	4	1	no	—
1644	C₄	—	4	1	no	—
1645	C₄	—	4	1	no	—
1646	C₄	—	4	1	no	—
1647	C₄	—	172	1	no	—
1648	C₄	—	172	1	no	—
1649	C₄	—	172	1	no	—
1650	C₄	—	172	1	no	—
1651	C₄	—	172	1	no	—
1652	C₄	—	172	1	no	—
1653	C₄	—	172	1	no	—
1654	C₄	—	172	1	no	—
1655	C₄	—	172	1	no	—
1656	C₄	—	172	1	no	—
1657	C₄	—	172	1	no	—
1658	C₄	—	172	1	no	—
1659	C₄	—	172	1	no	—
1660	C₄	—	172	1	no	—
1661	C₄	—	172	1	no	—
1662	C₂	—	4	2	no	—
1663	C₂	—	4	2	no	—
1664	C₂	—	4	2	no	—
1665	C₂	—	4	2	no	—
1666	C₂	—	8	1	no	—
1667	C₂	—	344	1	no	—
1668	C₂	#19147924	1	1	yes	characteristic
1669	C₂	#19148230	1	1	yes	characteristic
1670	C₂	#19148275	1	1	yes	characteristic
1671	C₂	#19148759	1	1	yes	characteristic
1672	C₂	#19148798	1	1	yes	characteristic
1673	C₂	#19148863	1	1	yes	characteristic
1674	C₂	#19148880	1	1	yes	characteristic

	subgroup	G/H
center, Frattini	C₂³	C₂⁴×D₄₃
commutator, socle, cosocle	C₂³×C₄₃	C₂⁵
Fitting	C₂×C₄₃×#525	C₂
hypercenter	C₂×#525	D₄₃
hypocenter	C₄₃	#36712
LCS	G ▷ C₂³×C₄₃ ▷ C₄₃
UCS	C₁ ◁ C₂³ ◁ C₂×#525

Complements

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

N	H ≅ G/N	type
1. C₂×#14583514	C₂	semidirect
2. #19142887	C₂	semidirect
3. #19142882	C₂	semidirect
4. #19141141	C₂	semidirect
5. #19141126	C₂	semidirect
6. #19141087	C₂	semidirect
7. #19141072	C₂	semidirect
8. #19141042	C₂	semidirect
9. #19140997	C₂	semidirect
10. #19140982	C₂	semidirect
11. #19140973	C₂	semidirect
12. #19140906	C₂	semidirect
13. #19140896	C₂	semidirect
14. #19140876	C₂	semidirect
15. #19140872	C₂	semidirect
16. #19140846	C₂	semidirect
17. #19140827	C₂	semidirect
18. #19140817	C₂	semidirect
19. #19140799	C₂	semidirect
20. #19140512	C₂	semidirect
21. #19140432	C₂	semidirect
22. #19140267	C₂	semidirect
23. #19140207	C₂	semidirect
24. #19140172	C₂	semidirect
25. #19140155	C₂	semidirect
26. #19139949	C₂	semidirect
27. #19139771	C₂	semidirect
28. #19138219	C₂	semidirect
29. #19138199	C₂	semidirect
30. #19137228	C₂	semidirect
31. C₂×C₄₃×#525	C₂	semidirect
33. C₂×#13063324	C₂²	semidirect
34. C₂×#13063323	C₂²	semidirect
36. C₂×#13063318	C₂²	semidirect
40. C₂×#13063311	C₂²	semidirect
43. C₂×#13063308	C₂²	semidirect
44. C₂×#13063305	C₂²	semidirect
48. C₂×#13063304	C₂²	semidirect
50. C₂×#13063297	C₂²	semidirect
53. C₂×C₄×Dic₈₆	C₂²	semidirect
54. C₂×#13063282	C₂²	semidirect
55. #14582838	C₂²	semidirect
56. #14582837	C₂²	semidirect
59. #14582835	C₂²	semidirect
60. #14582834	C₂²	semidirect
61. #14582832	C₂²	semidirect
62. #14582832	C₂²	semidirect
63. #14582829	C₂²	semidirect
64. #14582829	C₂²	semidirect
68. #14582827	C₂²	semidirect
70. #14582824	C₂²	semidirect
72. #14582822	C₂²	semidirect
73. #14582821	C₂²	semidirect
74. #14582821	C₂²	semidirect
75. #14582819	C₂²	semidirect
76. #14582819	C₂²	semidirect
77. #14582819	C₂²	semidirect
78. #14582818	C₂²	semidirect
80. #14582815	C₂²	semidirect
82. #14582814	C₂²	semidirect
91. #14582813	C₂²	semidirect
92. #14582813	C₂²	semidirect
96. #14582811	C₂²	semidirect
97. #14582811	C₂²	semidirect
98. #14582810	C₂²	semidirect
103. #14582806	C₂²	semidirect
108. #14582795	C₂²	semidirect
109. #14582795	C₂²	semidirect
110. #14582794	C₂²	semidirect
114. #14582790	C₂²	semidirect
115. #14582789	C₂²	semidirect
120. #14582787	C₂²	semidirect
121. #14582785	C₂²	semidirect
122. #14582785	C₂²	semidirect
123. #14582783	C₂²	semidirect
124. #14582783	C₂²	semidirect
125. #14582783	C₂²	semidirect
126. #14582780	C₂²	semidirect
127. #14582780	C₂²	semidirect
128. #14582780	C₂²	semidirect
134. #14582779	C₂²	semidirect
139. #14582778	C₂²	semidirect
142. #14582775	C₂²	semidirect
143. #14582774	C₂²	semidirect
144. #14582774	C₂²	semidirect
155. #14582772	C₂²	semidirect
156. #14582772	C₂²	semidirect
157. #14582772	C₂²	semidirect
158. #14582770	C₂²	semidirect
159. #14582767	C₂²	semidirect
160. #14582765	C₂²	semidirect
166. #14582757	C₂²	semidirect
167. #14582757	C₂²	semidirect
171. C₄×C₂²⋊Dic₄₃	C₂²	semidirect
172. C₂×C₄₃⋊#95	C₂²	semidirect
365. C₄×D₄×C₄₃	D₄	semidirect
826. C₂×#525	D₄₃	semidirect
1026. C₄₃	#36712	semidirect
1093. C₄×D₄	C₂²⋊D₄₃	semidirect

Maximal subgroups

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

subgroup	index
C₂×#14583514	2
#19142887	2
#19142882	2
#19141141	2
#19141126	2
#19141087	2
#19141072	2
#19141042	2
#19140997	2
#19140982	2
#19140973	2
#19140906	2
#19140896	2
#19140876	2
#19140872	2
#19140846	2
#19140827	2
#19140817	2
#19140799	2
#19140512	2
#19140432	2
#19140267	2
#19140207	2
#19140172	2
#19140155	2
#19139949	2
#19139771	2
#19138219	2
#19138199	2
#19137228	2
C₂×C₄₃×#525	2
#36712	43