Subgroups — #25256859

Order 11008.

3190 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×#123×D₄₃	C₂	1	1	yes	maximal, characteristic
2	C₂×#14583371	C₂	1	1	yes	maximal, characteristic
3	C₂×#117×D₄₃	C₂	1	1	yes	maximal, characteristic, complemented
4	#19137593	C₂	1	1	yes	maximal, characteristic, complemented
5	#19137591	C₂	1	1	yes	maximal, characteristic, complemented
6	#19137589	C₂	1	1	yes	maximal, characteristic, complemented
7	#19137587	C₂	1	1	yes	maximal, characteristic, complemented
8	#19137585	C₂	1	1	yes	maximal, characteristic, complemented
9	#19137583	C₂	1	1	yes	maximal, characteristic, complemented
10	#19137581	C₂	1	1	yes	maximal, characteristic, complemented
11	#19137463	C₂	1	1	yes	maximal, characteristic, complemented
12	#19137461	C₂	1	1	yes	maximal, characteristic, complemented
13	#19137461	C₂	1	1	yes	maximal, characteristic, complemented
14	#19137460	C₂	1	1	yes	maximal, characteristic, complemented
15	#19137443	C₂	1	1	yes	maximal, characteristic, complemented
16	#19137442	C₂	1	1	yes	maximal, characteristic, complemented
17	#19137439	C₂	1	1	yes	maximal, characteristic, complemented
18	#19137438	C₂	1	1	yes	maximal, characteristic, complemented
19	#19137268	C₂	1	1	yes	maximal, characteristic, complemented
20	#19137265	C₂	1	1	yes	maximal, characteristic, complemented
21	#19137262	C₂	1	1	yes	maximal, characteristic, complemented
22	#19137259	C₂	1	1	yes	maximal, characteristic, complemented
23	#19137206	C₂	1	1	yes	maximal, characteristic, complemented
24	#19137169	C₂	1	1	yes	maximal, characteristic
25	#19137122	C₂	1	1	yes	maximal, characteristic, complemented
26	C₄×#13063310	C₂	1	1	yes	maximal, characteristic, complemented
27	#19137116	C₂	1	1	yes	maximal, characteristic, complemented
28	C₄×#13063307	C₂	1	1	yes	maximal, characteristic, complemented
29	C₂×#14582761	C₂	1	1	yes	maximal, characteristic, complemented
30	#19136947	C₂	1	1	yes	maximal, characteristic, complemented
31	C₄₃×#2359	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂²×D₄×D₄₃	C₂²	1	1	yes	characteristic
33	C₂³×C₄×D₄₃	C₂²	1	1	yes	characteristic
34	C₂×#13063310	C₂²	1	1	yes	characteristic
35	C₂×#13063310	C₂²	1	1	yes	characteristic
36	C₂×#13063309	C₂²	1	1	yes	characteristic
37	C₂×#13063308	C₂²	1	1	yes	characteristic
38	C₂×#13063307	C₂²	1	1	yes	characteristic
39	C₂×#13063307	C₂²	1	1	yes	characteristic
40	C₂×#13063306	C₂²	1	1	yes	characteristic
41	#123×D₄₃	C₄	1	16	yes	complemented
42	#14583371	—	2	8	no	—
43	C₂×C₄×D₁₇₂	C₂²	1	1	yes	characteristic
44	C₂×D₄×Dic₄₃	C₂²	1	1	yes	characteristic
45	C₂×#13063287	C₂²	1	1	yes	characteristic
46	C₂×C₄×C₂²⋊D₄₃	C₂²	1	1	yes	characteristic
47	C₂×C₄×C₂²⋊D₄₃	C₂²	1	1	yes	characteristic
48	C₂×(C₂²⋊D₄₃)⋊C₄	C₂²	1	1	yes	characteristic
49	C₂×(C₂²⋊D₄₃)⋊C₄	C₂²	1	1	yes	characteristic
50	C₂×#13063284	C₂²	1	1	yes	characteristic, complemented
51	C₂×#13063283	C₂²	1	1	yes	characteristic
52	C₂×#13063283	C₂²	1	1	yes	characteristic
53	C₂×#13063283	C₂²	1	1	yes	characteristic
54	C₂×#13063282	C₂²	1	1	yes	characteristic
55	C₂×#13063282	C₂²	1	1	yes	characteristic
56	C₂×#13063282	C₂²	1	1	yes	characteristic
57	C₂×#13063281	C₂²	1	1	yes	characteristic, complemented
58	C₂×#13063281	C₂²	1	1	yes	characteristic, complemented
59	#117×D₄₃	—	2	8	no	—
60	C₂×C₄⋊C₄×D₄₃	C₂²	1	1	yes	characteristic
61	C₂×C₄⋊C₄×D₄₃	C₂²	1	1	yes	characteristic
62	C₂×C₄⋊C₄×D₄₃	C₂²	1	1	yes	characteristic, complemented
63	C₂×C₄⋊C₄×D₄₃	C₂²	1	1	yes	characteristic, complemented
64	C₂²×(C₂×D₄₃)⋊C₄	C₂²	1	1	yes	characteristic
65	C₂²×(C₂×D₄₃)⋊C₄	C₂²	1	1	yes	characteristic
66	C₂²×(C₂×D₄₃)⋊C₄	C₂²	1	1	yes	characteristic
67	C₂×C₂²⋊C₄×D₄₃	C₂²	1	1	yes	characteristic
68	C₂×C₂²⋊C₄×D₄₃	C₂²	1	1	yes	characteristic
69	C₂×C₂²⋊C₄×D₄₃	C₂²	1	1	yes	characteristic
70	C₂×C₂²⋊C₄×D₄₃	C₂²	1	1	yes	characteristic
71	C₂×C₂²⋊C₄×D₄₃	C₂²	1	1	yes	characteristic
72	C₂×C₂²⋊C₄×D₄₃	C₂²	1	1	yes	characteristic
73	C₂×C₄²×D₄₃	C₂²	1	1	yes	characteristic, complemented
74	C₂×C₄²×D₄₃	C₂²	1	1	yes	characteristic, complemented
75	#14582798	C₂²	1	1	yes	characteristic, complemented
76	#14582797	C₂²	1	1	yes	characteristic, complemented
77	#14582796	C₂²	1	1	yes	characteristic, complemented
78	#14582796	C₂²	1	1	yes	characteristic, complemented
79	#14582795	C₂²	1	1	yes	characteristic, complemented
80	#14582794	C₂²	1	1	yes	characteristic, complemented
81	#14582794	C₂²	1	1	yes	characteristic, complemented
82	#14582793	C₂²	1	1	yes	characteristic, complemented
83	#14582793	C₂²	1	1	yes	characteristic, complemented
84	#14582792	C₂²	1	1	yes	characteristic, complemented
85	#14582792	C₂²	1	1	yes	characteristic, complemented
86	#14582791	C₂²	1	1	yes	characteristic, complemented
87	#14582791	C₂²	1	1	yes	characteristic, complemented
88	#14582790	C₂²	1	1	yes	characteristic, complemented
89	#14582790	C₂²	1	1	yes	characteristic, complemented
90	#14582789	C₂²	1	1	yes	characteristic, complemented
91	#14582789	C₂²	1	1	yes	characteristic, complemented
92	#14582788	C₂²	1	1	yes	characteristic, complemented
93	#14582788	C₂²	1	1	yes	characteristic, complemented
94	#14582787	C₂²	1	1	yes	characteristic, complemented
95	#14582787	C₂²	1	1	yes	characteristic, complemented
96	#14582786	C₂²	1	1	yes	characteristic, complemented
97	#14582786	C₂²	1	1	yes	characteristic, complemented
98	#14582785	C₂²	1	1	yes	characteristic, complemented
99	#14582785	C₂²	1	1	yes	characteristic, complemented
100	#14582784	C₂²	1	1	yes	characteristic, complemented
101	#14582784	C₂²	1	1	yes	characteristic, complemented
102	#14582783	C₂²	1	1	yes	characteristic, complemented
103	#14582783	C₂²	1	1	yes	characteristic, complemented
104	#14582782	C₂²	1	1	yes	characteristic, complemented
105	#14582782	C₂²	1	1	yes	characteristic, complemented
106	#14582781	C₂²	1	1	yes	characteristic, complemented
107	#14582781	C₂²	1	1	yes	characteristic, complemented
108	#14582780	C₂²	1	1	yes	characteristic, complemented
109	#14582780	C₂²	1	1	yes	characteristic, complemented
110	#14582779	C₂²	1	1	yes	characteristic
111	#14582778	C₂²	1	1	yes	characteristic
112	#14582777	C₂²	1	1	yes	characteristic
113	#14582777	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, complemented
118	#14582774	C₂²	1	1	yes	characteristic, complemented
119	#14582773	C₂²	1	1	yes	characteristic, complemented
120	#14582773	C₂²	1	1	yes	characteristic, complemented
121	#14582773	C₂²	1	1	yes	characteristic, complemented
122	#14582773	C₂²	1	1	yes	characteristic, complemented
123	#14582772	C₂²	1	1	yes	characteristic, complemented
124	#14582772	C₂²	1	1	yes	characteristic, complemented
125	#14582771	C₂²	1	1	yes	characteristic, complemented
126	#14582771	C₂²	1	1	yes	characteristic, complemented
127	#14582770	C₂²	1	1	yes	characteristic, complemented
128	#14582770	C₂²	1	1	yes	characteristic, complemented
129	#14582770	C₂²	1	1	yes	characteristic, complemented
130	#14582770	C₂²	1	1	yes	characteristic, complemented
131	#14582761	C₂²	1	1	yes	characteristic
132	#14582761	C₂²	1	1	yes	characteristic
133	#14582761	C₂²	1	1	yes	characteristic
134	#14582761	C₂²	1	1	yes	characteristic
135	#14582761	C₂²	1	1	yes	characteristic
136	#14582761	C₂²	1	1	yes	characteristic
137	#14582761	C₂²	1	1	yes	characteristic, complemented
138	#14582761	C₂²	1	1	yes	characteristic, complemented
139	#14582761	C₂²	1	1	yes	characteristic, complemented
140	#14582761	C₂²	1	1	yes	characteristic, complemented
141	#14582758	C₂²	1	1	yes	characteristic
142	#14582758	C₂²	1	1	yes	characteristic
143	#14582756	C₂²	1	1	yes	characteristic
144	#14582756	C₂²	1	1	yes	characteristic
145	#14582754	C₂²	1	1	yes	characteristic
146	#14582754	C₂²	1	1	yes	characteristic
147	C₄⋊C₄×Dic₄₃	C₂²	1	1	yes	characteristic, complemented
148	C₄⋊C₄×Dic₄₃	C₂²	1	1	yes	characteristic, complemented
149	C₄×Dic₄₃⋊C₄	C₂²	1	1	yes	characteristic, complemented
150	C₄×Dic₄₃⋊C₄	C₂²	1	1	yes	characteristic, complemented
151	C₄×C₄⋊Dic₄₃	C₂²	1	1	yes	characteristic, complemented
152	#14582750	C₂²	1	1	yes	characteristic, complemented
153	#14582750	C₂²	1	1	yes	characteristic, complemented
154	C₂²⋊C₄×Dic₄₃	C₂²	1	1	yes	characteristic, complemented
155	C₂²⋊C₄×Dic₄₃	C₂²	1	1	yes	characteristic, complemented
156	C₂²⋊C₄×Dic₄₃	C₂²	1	1	yes	characteristic, complemented
157	C₂²⋊C₄×Dic₄₃	C₂²	1	1	yes	characteristic, complemented
158	C₄×(C₂×D₄₃)⋊C₄	C₂²	1	1	yes	characteristic
159	C₄×(C₂×D₄₃)⋊C₄	C₂²	1	1	yes	characteristic
160	C₄×(C₂×D₄₃)⋊C₄	C₂²	1	1	yes	characteristic, complemented
161	C₄×(C₂×D₄₃)⋊C₄	C₂²	1	1	yes	characteristic, complemented
162	C₄×(C₂×D₄₃)⋊C₄	C₂²	1	1	yes	characteristic, complemented
163	C₄×(C₂×D₄₃)⋊C₄	C₂²	1	1	yes	characteristic, complemented
164	C₄×C₂²⋊Dic₄₃	C₂²	1	1	yes	characteristic, complemented
165	C₄×C₂²⋊Dic₄₃	C₂²	1	1	yes	characteristic, complemented
166	#14582746	C₂²	1	1	yes	characteristic
167	#14582746	C₂²	1	1	yes	characteristic
168	#14582746	C₂²	1	1	yes	characteristic, complemented
169	#14582746	C₂²	1	1	yes	characteristic, complemented
170	#14582746	C₂²	1	1	yes	characteristic, complemented
171	#14582746	C₂²	1	1	yes	characteristic, complemented
172	C₂×C₄₃⋊#95	C₂²	1	1	yes	characteristic, complemented
173	C₂×C₄₃⋊#95	C₂²	1	1	yes	characteristic, complemented
174	C₂×C₄₃⋊#95	C₂²	1	1	yes	characteristic, complemented
175	C₂×#123×C₄₃	C₂²	1	1	yes	characteristic
176	C₂×C₄×D₄×C₄₃	C₂²	1	1	yes	characteristic
177	C₂×#117×C₄₃	C₂²	1	1	yes	characteristic, complemented
178	C₄₃×#389	C₂²	1	1	yes	characteristic, complemented
179	C₄₃×#388	C₂²	1	1	yes	characteristic, complemented
180	C₄₃×#388	C₂²	1	1	yes	characteristic, complemented
181	C₄₃×#387	C₂²	1	1	yes	characteristic, complemented
182	C₄₃×#387	C₂²	1	1	yes	characteristic, complemented
183	C₄₃×#386	C₂²	1	1	yes	characteristic
184	C₄₃×#385	C₂²	1	1	yes	characteristic, complemented
185	C₄₃×#385	C₂²	1	1	yes	characteristic, complemented
186	C₄×C₄⋊C₄×C₄₃	C₂²	1	1	yes	characteristic, complemented
187	C₄×C₂²⋊C₄×C₄₃	C₂²	1	1	yes	characteristic, complemented
188	C₄×C₂²⋊C₄×C₄₃	C₂²	1	1	yes	characteristic, complemented
189	C₂×#95×C₄₃	C₂²	1	1	yes	characteristic, complemented
190	C₂⁴×D₄₃	C₂³	1	1	yes	characteristic
191	C₂⁴×D₄₃	C₂³	1	1	yes	characteristic
192	C₂²×D₁₇₂	C₂³	1	1	yes	characteristic
193	C₂²×C₂²⋊D₄₃	C₂³	1	1	yes	characteristic
194	C₂²×C₂²⋊D₄₃	C₂³	1	1	yes	characteristic
195	C₂×D₄×D₄₃	—	2	4	no	—
196	C₂×D₄×D₄₃	—	2	4	no	—
197	C₂×D₄×D₄₃	C₂×C₄	1	8	yes	—
198	C₂³×Dic₄₃	C₂³	1	1	yes	characteristic
199	C₂³×Dic₄₃	C₂³	1	1	yes	characteristic
200	C₂³×Dic₄₃	C₂³	1	1	yes	characteristic
201	C₂³×Dic₄₃	C₂³	1	1	yes	characteristic
202	C₂²×C₄×D₄₃	—	2	4	no	—
203	C₂²×C₄×D₄₃	—	2	4	no	—
204	C₂²×C₄×D₄₃	C₂×C₄	1	8	yes	complemented
205	C₂²×C₄×D₄₃	C₂³	1	1	yes	characteristic
206	C₂²×C₄×D₄₃	C₂³	1	1	yes	characteristic
207	C₂²×C₄×D₄₃	C₂³	1	1	yes	characteristic
208	C₂²×C₄×D₄₃	C₂³	1	1	yes	characteristic
209	C₂²×C₄×D₄₃	C₂³	1	1	yes	characteristic
210	C₂²×C₄×D₄₃	C₂³	1	1	yes	characteristic
211	C₂²×C₄×D₄₃	C₂³	1	1	yes	characteristic
212	C₂²×C₄×D₄₃	C₂³	1	1	yes	characteristic
213	C₂²×C₄×D₄₃	C₂³	1	1	yes	characteristic
214	C₂²×C₄×D₄₃	C₂³	1	1	yes	characteristic
215	C₂²×C₄×D₄₃	C₂³	1	1	yes	characteristic
216	C₂²×C₄×D₄₃	C₂³	1	1	yes	characteristic
217	C₂²×C₄×D₄₃	C₂³	1	1	yes	characteristic
218	#13063310	C₂×C₄	1	8	yes	complemented
219	#13063310	C₂×C₄	1	8	yes	complemented
220	#13063309	C₂×C₄	1	8	yes	complemented
221	#13063308	C₂×C₄	1	8	yes	complemented
222	#13063307	C₂×C₄	1	8	yes	complemented
223	#13063307	C₂×C₄	1	8	yes	complemented
224	#13063306	C₂×C₄	1	8	yes	complemented
225	C₄×D₁₇₂	—	2	4	no	—
226	D₄×Dic₄₃	—	2	4	no	—
227	#13063287	—	2	4	no	—
228	C₄×C₂²⋊D₄₃	—	2	4	no	—
229	C₄×C₂²⋊D₄₃	—	2	4	no	—
230	(C₂²⋊D₄₃)⋊C₄	—	2	4	no	—
231	(C₂²⋊D₄₃)⋊C₄	—	2	4	no	—
232	#13063284	—	2	4	no	—
233	#13063283	—	2	4	no	—
234	#13063283	—	2	4	no	—
235	#13063283	—	2	4	no	—
236	#13063282	—	2	4	no	—
237	#13063282	—	2	4	no	—
238	#13063282	—	2	4	no	—
239	#13063281	—	2	4	no	—
240	#13063281	—	2	4	no	—
241	C₂×C₄⋊Dic₄₃	C₂³	1	1	yes	characteristic
242	C₂×C₄⋊Dic₄₃	C₂³	1	1	yes	characteristic
243	C₂×C₄⋊Dic₄₃	C₂³	1	1	yes	characteristic
244	C₂×C₄⋊Dic₄₃	C₂³	1	1	yes	characteristic
245	C₂×C₄⋊Dic₄₃	C₂³	1	1	yes	characteristic
246	C₂×C₄⋊Dic₄₃	C₂³	1	1	yes	characteristic
247	C₂×C₄⋊Dic₄₃	C₂³	1	1	yes	characteristic
248	C₂×Dic₄₃⋊C₄	C₂³	1	1	yes	characteristic
249	C₂×Dic₄₃⋊C₄	C₂³	1	1	yes	characteristic
250	C₂×Dic₄₃⋊C₄	C₂³	1	1	yes	characteristic
251	C₂×Dic₄₃⋊C₄	C₂³	1	1	yes	characteristic
252	C₂×Dic₄₃⋊C₄	C₂³	1	1	yes	characteristic
253	C₂×Dic₄₃⋊C₄	C₂³	1	1	yes	characteristic
254	C₂×Dic₄₃⋊C₄	C₂³	1	1	yes	characteristic
255	C₂×Dic₄₃⋊C₄	C₂³	1	1	yes	characteristic
256	C₂×Dic₄₃⋊C₄	C₂³	1	1	yes	characteristic
257	C₂×Dic₄₃⋊C₄	C₂³	1	1	yes	characteristic
258	C₂×Dic₄₃⋊C₄	C₂³	1	1	yes	characteristic
259	C₂×Dic₄₃⋊C₄	C₂³	1	1	yes	characteristic
260	C₂×Dic₄₃⋊C₄	C₂³	1	1	yes	characteristic
261	C₂×Dic₄₃⋊C₄	C₂³	1	1	yes	characteristic
262	C₄⋊C₄×D₄₃	—	2	4	no	—
263	C₄⋊C₄×D₄₃	—	2	4	no	—
264	C₄⋊C₄×D₄₃	C₂×C₄	1	8	yes	complemented
265	C₄⋊C₄×D₄₃	C₂×C₄	1	8	yes	complemented
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×(C₂×D₄₃)⋊C₄	—	2	4	no	—
275	C₂×(C₂×D₄₃)⋊C₄	—	2	4	no	—
276	C₂×(C₂×D₄₃)⋊C₄	—	2	4	no	—
277	C₂×(C₂×D₄₃)⋊C₄	C₂³	1	1	yes	characteristic
278	C₂×(C₂×D₄₃)⋊C₄	C₂³	1	1	yes	characteristic
279	C₂×(C₂×D₄₃)⋊C₄	C₂³	1	1	yes	characteristic
280	C₂×(C₂×D₄₃)⋊C₄	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×(C₂×D₄₃)⋊C₄	C₂³	1	1	yes	characteristic
291	C₂×(C₂×D₄₃)⋊C₄	C₂³	1	1	yes	characteristic
292	C₂×(C₂×D₄₃)⋊C₄	C₂³	1	1	yes	characteristic
293	C₂×(C₂×D₄₃)⋊C₄	C₂³	1	1	yes	characteristic
294	C₂×(C₂×D₄₃)⋊C₄	C₂³	1	1	yes	characteristic
295	C₂×(C₂×D₄₃)⋊C₄	C₂³	1	1	yes	characteristic
296	C₂×(C₂×D₄₃)⋊C₄	C₂³	1	1	yes	characteristic
297	C₂×(C₂×D₄₃)⋊C₄	C₂³	1	1	yes	characteristic
298	C₂×(C₂×D₄₃)⋊C₄	C₂³	1	1	yes	characteristic
299	C₂×(C₂×D₄₃)⋊C₄	C₂³	1	1	yes	characteristic
300	C₂×(C₂×D₄₃)⋊C₄	C₂³	1	1	yes	characteristic
301	C₂²⋊C₄×D₄₃	—	2	4	no	—
302	C₂²⋊C₄×D₄₃	—	2	4	no	—
303	C₂²⋊C₄×D₄₃	C₂×C₄	1	8	yes	complemented
304	C₂²⋊C₄×D₄₃	C₂×C₄	1	8	yes	complemented
305	C₂²⋊C₄×D₄₃	C₂×C₄	1	8	yes	complemented
306	C₂²⋊C₄×D₄₃	D₄	1	8	yes	—
307	C₂×C₄×Dic₄₃	C₂³	1	1	yes	characteristic
308	C₂×C₄×Dic₄₃	C₂³	1	1	yes	characteristic
309	C₂×C₄×Dic₄₃	C₂³	1	1	yes	characteristic
310	C₂×C₄×Dic₄₃	C₂³	1	1	yes	characteristic
311	C₂×C₄×Dic₄₃	C₂³	1	1	yes	characteristic
312	C₂×C₄×Dic₄₃	C₂³	1	1	yes	characteristic
313	C₂×C₄×Dic₄₃	C₂³	1	1	yes	characteristic
314	C₂×C₄×Dic₄₃	C₂³	1	1	yes	characteristic
315	C₂×C₄×Dic₄₃	C₂³	1	1	yes	characteristic
316	C₂×C₄×Dic₄₃	C₂³	1	1	yes	characteristic
317	C₂×C₄×Dic₄₃	C₂³	1	1	yes	characteristic
318	C₂×C₄×Dic₄₃	C₂³	1	1	yes	characteristic
319	C₂×C₄×Dic₄₃	C₂³	1	1	yes	characteristic
320	C₂×C₄×Dic₄₃	C₂³	1	1	yes	characteristic
321	C₂×C₄×Dic₄₃	C₂³	1	1	yes	characteristic
322	C₄²×D₄₃	—	2	4	no	—
323	C₄²×D₄₃	—	2	4	no	—
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	C₄₃⋊#95	C₂³	1	1	yes	characteristic
332	C₄₃⋊#95	C₂³	1	1	yes	characteristic
333	C₄₃⋊#95	C₂³	1	1	yes	characteristic
334	C₄₃⋊#95	C₂³	1	1	yes	characteristic
335	C₄₃⋊#95	C₂³	1	1	yes	characteristic
336	C₄₃⋊#95	C₂³	1	1	yes	characteristic
337	C₄₃⋊#95	C₂³	1	1	yes	characteristic
338	C₄₃⋊#95	C₂³	1	1	yes	characteristic
339	C₄₃⋊#95	C₂³	1	1	yes	characteristic
340	C₄₃⋊#95	C₂³	1	1	yes	characteristic
341	C₄₃⋊#95	C₂³	1	1	yes	characteristic
342	C₄₃⋊#95	C₂³	1	1	yes	characteristic
343	C₄₃⋊#95	C₂³	1	1	yes	characteristic
344	C₄₃⋊#95	C₂³	1	1	yes	characteristic
345	C₄₃⋊#95	C₂³	1	1	yes	characteristic
346	C₄₃⋊#95	C₂³	1	1	yes	characteristic
347	C₄₃⋊#95	C₂³	1	1	yes	characteristic
348	C₄₃⋊#95	C₂³	1	1	yes	characteristic
349	C₄₃⋊#95	C₂³	1	1	yes	characteristic
350	C₄₃⋊#95	C₂³	1	1	yes	characteristic
351	C₄₃⋊#95	C₂³	1	1	yes	characteristic
352	C₄₃⋊#95	C₂³	1	1	yes	characteristic
353	C₄₃⋊#95	C₂³	1	1	yes	characteristic
354	C₂²×D₄×C₄₃	C₂³	1	1	yes	characteristic
355	C₂³×C₄×C₄₃	C₂³	1	1	yes	characteristic
356	C₂³×C₄×C₄₃	C₂³	1	1	yes	characteristic
357	C₂³×C₄×C₄₃	C₂³	1	1	yes	characteristic
358	C₂³×C₄×C₄₃	C₂³	1	1	yes	characteristic
359	#123×C₄₃	C₂×C₄	1	8	yes	complemented
360	C₄×D₄×C₄₃	—	2	4	no	—
361	#117×C₄₃	—	2	4	no	—
362	C₂×C₄⋊C₄×C₄₃	C₂³	1	1	yes	characteristic
363	C₂×C₄⋊C₄×C₄₃	C₂³	1	1	yes	characteristic
364	C₂×C₄⋊C₄×C₄₃	C₂³	1	1	yes	characteristic
365	C₂×C₄⋊C₄×C₄₃	C₂³	1	1	yes	characteristic
366	C₂×C₄⋊C₄×C₄₃	C₂³	1	1	yes	characteristic
367	C₂×C₄⋊C₄×C₄₃	C₂³	1	1	yes	characteristic
368	C₂×C₄⋊C₄×C₄₃	C₂³	1	1	yes	characteristic
369	C₂×C₂²⋊C₄×C₄₃	C₂³	1	1	yes	characteristic
370	C₂×C₂²⋊C₄×C₄₃	C₂³	1	1	yes	characteristic
371	C₂×C₂²⋊C₄×C₄₃	C₂³	1	1	yes	characteristic
372	C₂×C₂²⋊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×C₄²×C₄₃	C₂³	1	1	yes	characteristic
378	C₂×C₄²×C₄₃	C₂³	1	1	yes	characteristic
379	C₂×C₄²×C₄₃	C₂³	1	1	yes	characteristic
380	C₂×C₄²×C₄₃	C₂³	1	1	yes	characteristic
381	C₂×C₄²×C₄₃	C₂³	1	1	yes	characteristic
382	#95×C₄₃	C₂³	1	1	yes	characteristic
383	#95×C₄₃	C₂³	1	1	yes	characteristic
384	#95×C₄₃	C₂³	1	1	yes	characteristic
385	#95×C₄₃	C₂³	1	1	yes	characteristic
386	#95×C₄₃	C₂³	1	1	yes	characteristic
387	#95×C₄₃	C₂³	1	1	yes	characteristic
388	#95×C₄₃	C₂³	1	1	yes	characteristic
389	#95×C₄₃	C₂³	1	1	yes	characteristic
390	#95×C₄₃	C₂³	1	1	yes	characteristic
391	#95×C₄₃	C₂³	1	1	yes	characteristic
392	C₂⁴×C₄₃	C₂⁴	1	1	yes	characteristic
393	C₂⁴×C₄₃	C₂⁴	1	1	yes	characteristic
394	C₂³×D₄₃	—	2	2	no	—
395	C₂³×D₄₃	—	2	2	no	—
396	C₂³×D₄₃	—	4	1	no	—
397	C₂³×D₄₃	—	4	1	no	—
398	C₂³×D₄₃	—	4	1	no	—
399	C₂³×D₄₃	—	4	1	no	—
400	C₂³×D₄₃	—	4	1	no	—
401	C₂³×D₄₃	—	4	1	no	—
402	C₂³×D₄₃	—	4	1	no	—
403	C₂³×D₄₃	—	4	1	no	—
404	C₂³×D₄₃	C₂²×C₄	1	4	yes	—
405	C₂³×D₄₃	C₂²×C₄	1	4	yes	—
406	C₂³×D₄₃	C₂×D₄	1	4	yes	—
407	C₂³×D₄₃	#41	1	4	yes	—
408	C₂³×D₄₃	C₂⁴	1	1	yes	characteristic
409	C₂³×D₄₃	C₂⁴	1	1	yes	characteristic
410	C₂³×D₄₃	C₂⁴	1	1	yes	characteristic
411	C₂×D₄×C₄₃	—	2	2	no	—
412	C₂×D₄×C₄₃	—	2	2	no	—
413	C₂×D₄×C₄₃	C₂²×C₄	1	4	yes	—
414	C₂²×C₄×C₄₃	—	2	2	no	—
415	C₂²×C₄×C₄₃	—	2	2	no	—
416	C₂²×C₄×C₄₃	—	2	2	no	—
417	C₂²×C₄×C₄₃	—	2	2	no	—
418	C₂²×C₄×C₄₃	—	2	2	no	—
419	C₂²×C₄×C₄₃	—	4	1	no	—
420	C₂²×C₄×C₄₃	—	4	1	no	—
421	C₂²×C₄×C₄₃	—	4	1	no	—
422	C₂²×C₄×C₄₃	—	4	1	no	—
423	C₂²×C₄×C₄₃	—	4	1	no	—
424	C₂²×C₄×C₄₃	—	4	1	no	—
425	C₂²×C₄×C₄₃	C₂²×C₄	1	4	yes	—
426	C₂²×C₄×C₄₃	C₂⁴	1	1	yes	characteristic
427	C₂²×C₄×C₄₃	C₂⁴	1	1	yes	characteristic
428	C₂²×C₄×C₄₃	C₂⁴	1	1	yes	characteristic
429	C₂²×C₄×C₄₃	C₂⁴	1	1	yes	characteristic
430	C₂²×C₄×C₄₃	C₂⁴	1	1	yes	characteristic
431	C₂²×C₄×C₄₃	C₂⁴	1	1	yes	characteristic
432	C₂²×C₄×C₄₃	C₂⁴	1	1	yes	characteristic
433	C₂²×C₄×C₄₃	C₂⁴	1	1	yes	characteristic
434	C₂²×C₄×C₄₃	C₂⁴	1	1	yes	characteristic
435	C₂²×C₄×C₄₃	C₂⁴	1	1	yes	characteristic
436	C₂²×C₄×C₄₃	C₂⁴	1	1	yes	characteristic
437	C₂²×C₄×C₄₃	C₂⁴	1	1	yes	characteristic
438	C₂²×C₄×C₄₃	C₂⁴	1	1	yes	characteristic
439	C₂×C₂²⋊D₄₃	—	2	2	no	—
440	C₂×C₂²⋊D₄₃	—	2	2	no	—
441	C₂×C₂²⋊D₄₃	—	2	2	no	—
442	C₂×C₂²⋊D₄₃	—	2	2	no	—
443	C₂×C₂²⋊D₄₃	C₂²×C₄	1	4	yes	—
444	C₂×C₂²⋊D₄₃	C₂²×C₄	1	4	yes	—
445	C₂²×Dic₄₃	—	2	2	no	—
446	C₂²×Dic₄₃	—	2	2	no	—
447	C₂²×Dic₄₃	—	2	2	no	—
448	C₂²×Dic₄₃	—	2	2	no	—
449	C₂²×Dic₄₃	—	2	2	no	—
450	C₂²×Dic₄₃	—	4	1	no	—
451	C₂²×Dic₄₃	—	4	1	no	—
452	C₂²×Dic₄₃	—	4	1	no	—
453	C₂²×Dic₄₃	—	4	1	no	—
454	C₂²×Dic₄₃	—	4	1	no	—
455	C₂²×Dic₄₃	—	4	1	no	—
456	C₂²×Dic₄₃	C₂²×C₄	1	4	yes	—
457	C₂²×Dic₄₃	C₂⁴	1	1	yes	characteristic
458	C₂²×Dic₄₃	C₂⁴	1	1	yes	characteristic
459	C₂²×Dic₄₃	C₂⁴	1	1	yes	characteristic
460	C₂²×Dic₄₃	C₂⁴	1	1	yes	characteristic
461	C₂²×Dic₄₃	C₂⁴	1	1	yes	characteristic
462	C₂²×Dic₄₃	C₂⁴	1	1	yes	characteristic
463	C₂²×Dic₄₃	C₂⁴	1	1	yes	characteristic
464	C₂²×Dic₄₃	C₂⁴	1	1	yes	characteristic
465	C₂²×Dic₄₃	C₂⁴	1	1	yes	characteristic
466	C₂²×Dic₄₃	C₂⁴	1	1	yes	characteristic
467	C₂²×Dic₄₃	C₂⁴	1	1	yes	characteristic
468	C₂²×Dic₄₃	C₂⁴	1	1	yes	characteristic
469	C₂²×Dic₄₃	C₂⁴	1	1	yes	characteristic
470	D₄×D₄₃	—	2	32	no	—
471	C₂×D₁₇₂	—	2	2	no	—
472	C₂×D₁₇₂	—	2	2	no	—
473	C₂×D₁₇₂	C₂²×C₄	1	4	yes	—
474	C₂×C₄×D₄₃	—	2	2	no	—
475	C₂×C₄×D₄₃	—	2	2	no	—
476	C₂×C₄×D₄₃	—	2	32	no	—
477	C₂×C₄×D₄₃	—	2	2	no	—
478	C₂×C₄×D₄₃	—	2	2	no	—
479	C₂×C₄×D₄₃	—	2	2	no	—
480	C₂×C₄×D₄₃	—	2	2	no	—
481	C₂×C₄×D₄₃	—	2	2	no	—
482	C₂×C₄×D₄₃	—	2	2	no	—
483	C₂×C₄×D₄₃	—	2	2	no	—
484	C₂×C₄×D₄₃	—	2	2	no	—
485	C₂×C₄×D₄₃	—	2	2	no	—
486	C₂×C₄×D₄₃	—	2	2	no	—
487	C₂×C₄×D₄₃	—	2	2	no	—
488	C₂×C₄×D₄₃	—	2	2	no	—
489	C₂×C₄×D₄₃	—	4	1	no	—
490	C₂×C₄×D₄₃	—	4	1	no	—
491	C₂×C₄×D₄₃	—	4	1	no	—
492	C₂×C₄×D₄₃	—	4	1	no	—
493	C₂×C₄×D₄₃	—	4	1	no	—
494	C₂×C₄×D₄₃	—	4	1	no	—
495	C₂×C₄×D₄₃	—	4	1	no	—
496	C₂×C₄×D₄₃	—	4	1	no	—
497	C₂×C₄×D₄₃	—	4	1	no	—
498	C₂×C₄×D₄₃	—	4	1	no	—
499	C₂×C₄×D₄₃	—	4	1	no	—
500	C₂×C₄×D₄₃	—	4	1	no	—
501	C₂×C₄×D₄₃	—	4	1	no	—
502	C₂×C₄×D₄₃	—	4	1	no	—
503	C₂×C₄×D₄₃	—	4	1	no	—
504	C₂×C₄×D₄₃	—	4	1	no	—
505	C₂×C₄×D₄₃	C₂²×C₄	1	4	yes	—
506	C₂×C₄×D₄₃	C₂²×C₄	1	4	yes	—
507	C₂×C₄×D₄₃	C₂²×C₄	1	4	yes	—
508	C₂×C₄×D₄₃	C₂²×C₄	1	4	yes	—
509	C₂×C₄×D₄₃	C₂²×C₄	1	4	yes	—
510	C₂×C₄×D₄₃	C₂²×C₄	1	4	yes	—
511	C₂×C₄×D₄₃	C₂²×C₄	1	4	yes	—
512	C₂×C₄×D₄₃	C₂×D₄	1	4	yes	—
513	C₂×C₄×D₄₃	C₂×D₄	1	4	yes	—
514	C₄⋊C₄×C₄₃	—	2	2	no	—
515	C₄⋊C₄×C₄₃	—	2	2	no	—
516	C₄⋊C₄×C₄₃	—	2	2	no	—
517	C₄⋊C₄×C₄₃	—	4	1	no	—
518	C₄⋊C₄×C₄₃	—	4	1	no	—
519	C₄⋊C₄×C₄₃	C₂²×C₄	1	4	yes	—
520	C₄⋊C₄×C₄₃	C₂²×C₄	1	4	yes	—
521	C₂²⋊C₄×C₄₃	—	2	2	no	—
522	C₂²⋊C₄×C₄₃	—	2	2	no	—
523	C₂²⋊C₄×C₄₃	—	4	1	no	—
524	C₂²⋊C₄×C₄₃	—	4	1	no	—
525	C₂²⋊C₄×C₄₃	C₂²×C₄	1	4	yes	—
526	C₂²⋊C₄×C₄₃	C₂²×C₄	1	4	yes	—
527	C₂²⋊C₄×C₄₃	C₂²×C₄	1	4	yes	—
528	C₂²⋊C₄×C₄₃	C₂×D₄	1	4	yes	—
529	C₄²×C₄₃	—	2	2	no	—
530	C₄²×C₄₃	—	2	2	no	—
531	C₄²×C₄₃	—	2	2	no	—
532	C₄²×C₄₃	—	4	1	no	—
533	C₄²×C₄₃	—	4	1	no	—
534	C₂²⋊Dic₄₃	—	2	2	no	—
535	C₂²⋊Dic₄₃	—	2	2	no	—
536	C₂²⋊Dic₄₃	—	4	1	no	—
537	C₂²⋊Dic₄₃	—	4	1	no	—
538	C₂²⋊Dic₄₃	C₂²×C₄	1	4	yes	—
539	C₂²⋊Dic₄₃	C₂²×C₄	1	4	yes	—
540	C₂²⋊Dic₄₃	C₂²×C₄	1	4	yes	—
541	C₂²⋊Dic₄₃	C₂×D₄	1	4	yes	—
542	(C₂×D₄₃)⋊C₄	—	2	2	no	—
543	(C₂×D₄₃)⋊C₄	—	2	2	no	—
544	(C₂×D₄₃)⋊C₄	—	2	2	no	—
545	(C₂×D₄₃)⋊C₄	—	2	2	no	—
546	(C₂×D₄₃)⋊C₄	—	2	2	no	—
547	(C₂×D₄₃)⋊C₄	—	2	2	no	—
548	(C₂×D₄₃)⋊C₄	—	2	2	no	—
549	(C₂×D₄₃)⋊C₄	—	2	2	no	—
550	(C₂×D₄₃)⋊C₄	—	2	2	no	—
551	(C₂×D₄₃)⋊C₄	—	2	2	no	—
552	(C₂×D₄₃)⋊C₄	—	2	2	no	—
553	(C₂×D₄₃)⋊C₄	—	2	2	no	—
554	(C₂×D₄₃)⋊C₄	—	4	1	no	—
555	(C₂×D₄₃)⋊C₄	—	4	1	no	—
556	(C₂×D₄₃)⋊C₄	—	4	1	no	—
557	(C₂×D₄₃)⋊C₄	—	4	1	no	—
558	(C₂×D₄₃)⋊C₄	C₂²×C₄	1	4	yes	—
559	(C₂×D₄₃)⋊C₄	C₂²×C₄	1	4	yes	—
560	(C₂×D₄₃)⋊C₄	C₂²×C₄	1	4	yes	—
561	(C₂×D₄₃)⋊C₄	C₂²×C₄	1	4	yes	—
562	(C₂×D₄₃)⋊C₄	C₂²×C₄	1	4	yes	—
563	(C₂×D₄₃)⋊C₄	C₂²×C₄	1	4	yes	—
564	(C₂×D₄₃)⋊C₄	C₂×D₄	1	4	yes	—
565	(C₂×D₄₃)⋊C₄	C₂×D₄	1	4	yes	—
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	C₂²×C₄	1	4	yes	—
572	C₄⋊Dic₄₃	C₂²×C₄	1	4	yes	—
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	—	4	1	no	—
580	Dic₄₃⋊C₄	—	4	1	no	—
581	Dic₄₃⋊C₄	—	4	1	no	—
582	Dic₄₃⋊C₄	—	4	1	no	—
583	Dic₄₃⋊C₄	C₂²×C₄	1	4	yes	—
584	Dic₄₃⋊C₄	C₂²×C₄	1	4	yes	—
585	Dic₄₃⋊C₄	C₂²×C₄	1	4	yes	—
586	Dic₄₃⋊C₄	C₂²×C₄	1	4	yes	—
587	C₄×Dic₄₃	—	2	2	no	—
588	C₄×Dic₄₃	—	2	2	no	—
589	C₄×Dic₄₃	—	2	2	no	—
590	C₄×Dic₄₃	—	2	2	no	—
591	C₄×Dic₄₃	—	2	2	no	—
592	C₄×Dic₄₃	—	2	2	no	—
593	C₄×Dic₄₃	—	2	2	no	—
594	C₄×Dic₄₃	—	2	2	no	—
595	C₄×Dic₄₃	—	2	2	no	—
596	C₄×Dic₄₃	—	4	1	no	—
597	C₄×Dic₄₃	—	4	1	no	—
598	C₄×Dic₄₃	—	4	1	no	—
599	C₄×Dic₄₃	—	4	1	no	—
600	C₄×Dic₄₃	—	4	1	no	—
601	C₄×Dic₄₃	—	4	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	C₂³×C₄	1	2	yes	—
613	C₂³×C₄₃	C₂³×C₄	1	2	yes	—
614	C₂³×C₄₃	C₂²×D₄	1	2	yes	—
615	C₂³×C₄₃	C₂×#41	1	2	yes	—
616	C₂³×C₄₃	C₂⁵	1	1	yes	characteristic
617	C₂²×D₄₃	—	2	1	no	—
618	C₂²×D₄₃	—	2	1	no	—
619	C₂²×D₄₃	—	2	1	no	—
620	C₂²×D₄₃	—	2	1	no	—
621	C₂²×D₄₃	—	2	1	no	—
622	C₂²×D₄₃	—	2	1	no	—
623	C₂²×D₄₃	—	2	1	no	—
624	C₂²×D₄₃	—	2	1	no	—
625	C₂²×D₄₃	—	2	1	no	—
626	C₂²×D₄₃	—	2	1	no	—
627	C₂²×D₄₃	—	2	1	no	—
628	C₂²×D₄₃	—	2	1	no	—
629	C₂²×D₄₃	—	2	1	no	—
630	C₂²×D₄₃	—	2	1	no	—
631	C₂²×D₄₃	—	2	8	no	—
632	C₂²×D₄₃	—	4	4	no	—
633	C₂²×D₄₃	—	4	4	no	—
634	C₂²×D₄₃	—	4	4	no	—
635	C₂²×D₄₃	—	4	4	no	—
636	C₂²×D₄₃	—	4	4	no	—
637	C₂²×D₄₃	—	4	4	no	—
638	C₂²×D₄₃	—	4	4	no	—
639	C₂²×D₄₃	—	4	4	no	—
640	C₂²×D₄₃	—	8	2	no	—
641	C₂²×D₄₃	—	8	2	no	—
642	C₂²×D₄₃	—	8	2	no	—
643	C₂²×D₄₃	—	8	2	no	—
644	C₂²×D₄₃	C₄×D₄	1	16	yes	—
645	C₂²×D₄₃	C₂³×C₄	1	2	yes	—
646	C₂²×D₄₃	C₂³×C₄	1	2	yes	—
647	C₂²×D₄₃	C₂³×C₄	1	2	yes	—
648	C₂²×D₄₃	C₂²×D₄	1	2	yes	—
649	C₂²×D₄₃	C₂²×D₄	1	2	yes	—
650	C₂²×D₄₃	C₂×#41	1	2	yes	—
651	C₂²×D₄₃	C₂×#41	1	2	yes	—
652	D₄×C₄₃	—	2	8	no	—
653	C₂×C₄×C₄₃	—	2	8	no	—
654	C₂×C₄×C₄₃	—	2	1	no	—
655	C₂×C₄×C₄₃	—	2	1	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	—	2	1	no	—
681	C₂×C₄×C₄₃	—	2	1	no	—
682	C₂×C₄×C₄₃	—	2	1	no	—
683	C₂×C₄×C₄₃	—	2	1	no	—
684	C₂×C₄×C₄₃	—	2	1	no	—
685	C₂×C₄×C₄₃	—	2	1	no	—
686	C₂×C₄×C₄₃	—	8	2	no	—
687	C₂×C₄×C₄₃	—	8	2	no	—
688	C₂×C₄×C₄₃	—	8	2	no	—
689	C₂×C₄×C₄₃	C₂³×C₄	1	2	yes	—
690	C₂×C₄×C₄₃	C₂³×C₄	1	2	yes	—
691	C₂×C₄×C₄₃	C₂³×C₄	1	2	yes	—
692	C₂×C₄×C₄₃	C₂³×C₄	1	2	yes	—
693	C₂×C₄×C₄₃	C₂³×C₄	1	2	yes	—
694	C₂×C₄×C₄₃	C₂²×D₄	1	2	yes	—
695	C₂×C₄×C₄₃	C₂²×D₄	1	2	yes	—
696	C₂²⋊D₄₃	—	2	8	no	—
697	C₂²⋊D₄₃	—	2	8	no	—
698	C₂×Dic₄₃	—	2	8	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	—	8	2	no	—
732	C₂×Dic₄₃	—	8	2	no	—
733	C₂×Dic₄₃	—	8	2	no	—
734	C₂×Dic₄₃	C₂³×C₄	1	2	yes	—
735	C₂×Dic₄₃	C₂³×C₄	1	2	yes	—
736	C₂×Dic₄₃	C₂³×C₄	1	2	yes	—
737	C₂×Dic₄₃	C₂³×C₄	1	2	yes	—
738	C₂×Dic₄₃	C₂³×C₄	1	2	yes	—
739	C₂×Dic₄₃	C₂²×D₄	1	2	yes	—
740	C₂×Dic₄₃	C₂²×D₄	1	2	yes	—
741	D₁₇₂	—	2	8	no	—
742	C₄×D₄₃	—	2	8	no	—
743	C₄×D₄₃	—	2	8	no	—
744	C₄×D₄₃	—	2	8	no	—
745	C₄×D₄₃	—	2	8	no	—
746	C₄×D₄₃	—	2	8	no	—
747	C₄×D₄₃	—	4	4	no	—
748	C₄×D₄₃	—	4	4	no	—
749	C₄×D₄₃	—	4	4	no	—
750	C₄×D₄₃	—	4	4	no	—
751	C₄×D₄₃	—	4	4	no	—
752	C₄×D₄₃	—	4	4	no	—
753	C₄×D₄₃	—	8	2	no	—
754	C₄×D₄₃	—	8	2	no	—
755	#34199	—	43	1	no	maximal, Sylow
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	—	2	2	no	—
763	C₂²×C₄₃	—	2	2	no	—
764	C₂²×C₄₃	—	2	2	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	C₂×C₄×D₄	1	4	yes	—
770	C₂²×C₄₃	C₂⁴×C₄	1	1	yes	characteristic
771	C₂²×C₄₃	C₂³×D₄	1	1	yes	characteristic
772	C₂²×C₄₃	C₂²×#41	1	1	yes	characteristic
773	C₂²×C₄₃	#585	1	1	yes	characteristic
774	C₂²×C₄₃	#585	1	1	yes	characteristic
775	C₂²×C₄₃	#585	1	1	yes	characteristic
776	C₂²×C₄₃	#585	1	1	yes	characteristic
777	C₂×D₄₃	—	2	2	no	—
778	C₂×D₄₃	—	2	2	no	—
779	C₂×D₄₃	—	2	2	no	—
780	C₂×D₄₃	—	2	2	no	—
781	C₂×D₄₃	—	2	2	no	—
782	C₂×D₄₃	—	2	2	no	—
783	C₂×D₄₃	—	2	2	no	—
784	C₂×D₄₃	—	2	2	no	—
785	C₂×D₄₃	—	2	2	no	—
786	C₂×D₄₃	—	2	2	no	—
787	C₂×D₄₃	—	2	2	no	—
788	C₂×D₄₃	—	2	2	no	—
789	C₂×D₄₃	—	2	2	no	—
790	C₂×D₄₃	—	2	2	no	—
791	C₂×D₄₃	—	2	2	no	—
792	C₂×D₄₃	—	4	16	no	—
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	—	8	8	no	—
798	C₂×D₄₃	C₂×C₄×D₄	1	4	yes	—
799	C₂×D₄₃	C₂×C₄×D₄	1	4	yes	—
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	—	2	2	no	—
807	C₄×C₄₃	—	4	1	no	—
808	C₄×C₄₃	—	4	1	no	—
809	C₄×C₄₃	—	4	1	no	—
810	C₄×C₄₃	—	4	1	no	—
811	C₄×C₄₃	—	4	1	no	—
812	C₄×C₄₃	—	4	1	no	—
813	Dic₄₃	—	2	2	no	—
814	Dic₄₃	—	2	2	no	—
815	Dic₄₃	—	2	2	no	—
816	Dic₄₃	—	2	2	no	—
817	Dic₄₃	—	2	2	no	—
818	Dic₄₃	—	2	2	no	—
819	Dic₄₃	—	2	2	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	Dic₄₃	—	4	1	no	—
826	C₂²×#123	—	43	1	no	—
827	C₂×#518	—	43	1	no	—
828	C₂²×#117	—	43	1	no	—
829	#2359	—	43	1	no	—
830	#2359	—	43	1	no	—
831	#2359	—	43	1	no	—
832	#2359	—	43	1	no	—
833	#2359	—	43	1	no	—
834	#2359	—	43	1	no	—
835	#2359	—	43	1	no	—
836	#2359	D₄₃	1	1	yes	characteristic, complemented
837	#2344	—	43	1	no	—
838	#2344	—	43	1	no	—
839	#2344	—	43	1	no	—
840	#2344	—	43	1	no	—
841	#2342	—	43	1	no	—
842	#2342	—	43	1	no	—
843	#2342	—	43	1	no	—
844	#2342	—	43	1	no	—
845	#2322	—	43	1	no	—
846	#2322	—	43	1	no	—
847	#2322	—	43	1	no	—
848	#2322	—	43	1	no	—
849	#2315	—	43	1	no	—
850	#2308	—	43	1	no	—
851	C₄×#123	—	43	1	no	—
852	C₄×#123	—	43	1	no	—
853	C₄×#123	—	43	1	no	—
854	C₄×#123	—	43	1	no	—
855	C₂×#381	—	43	1	no	—
856	#2273	—	43	1	no	—
857	C₂×C₄₃	—	2	4	no	—
858	C₂×C₄₃	—	4	2	no	—
859	C₂×C₄₃	C₂²×C₄×D₄	1	1	yes	characteristic
860	C₂×C₄₃	#3428	1	1	yes	characteristic
861	C₂×C₄₃	#3428	1	1	yes	characteristic
862	C₂×C₄₃	#3485	1	1	yes	characteristic
863	C₂×C₄₃	#3485	1	1	yes	characteristic
864	C₂×C₄₃	#3491	1	1	yes	characteristic
865	C₂×C₄₃	#3491	1	1	yes	characteristic
866	D₄₃	—	2	4	no	—
867	D₄₃	—	2	4	no	—
868	D₄₃	—	4	2	no	—
869	C₂³×D₄	—	43	1	no	—
870	C₂⁴×C₄	—	43	1	no	—
871	C₂×#123	—	43	1	no	—
872	C₂×#123	—	43	1	no	—
873	C₂×#123	—	43	16	no	—
874	C₂×#123	—	43	1	no	—
875	C₂×#123	—	43	1	no	—
876	C₂×#123	—	43	1	no	—
877	C₂×#123	—	43	1	no	—
878	C₂×#123	—	43	1	no	—
879	C₂×#123	C₂×D₄₃	1	1	yes	characteristic
880	#518	—	86	8	no	—
881	C₂×C₄×D₄	—	43	1	no	—
882	C₂×C₄×D₄	—	43	1	no	—
883	C₂×C₄×D₄	—	43	1	no	—
884	C₂×C₄×D₄	—	43	1	no	—
885	C₂×C₄×D₄	—	43	1	no	—
886	C₂×C₄×D₄	—	43	1	no	—
887	C₂×C₄×D₄	—	43	1	no	—
888	C₂×C₄×D₄	C₂×D₄₃	1	1	yes	characteristic
889	C₂×#117	—	43	1	no	—
890	C₂×#117	—	43	1	no	—
891	C₂×#117	—	43	1	no	—
892	C₂×#117	—	43	1	no	—
893	C₂×#117	—	43	1	no	—
894	C₂×#117	—	43	1	no	—
895	C₂×#117	—	43	1	no	—
896	C₂×#117	—	43	1	no	—
897	C₂×#117	—	43	1	no	—
898	C₂×#117	—	86	8	no	—
899	C₂×#117	C₂×D₄₃	1	1	yes	characteristic, complemented
900	C₂²×C₄⋊C₄	—	43	1	no	—
901	C₂²×C₄⋊C₄	—	43	1	no	—
902	C₂²×C₄⋊C₄	—	43	1	no	—
903	C₂²×C₄⋊C₄	—	43	1	no	—
904	C₂²×C₂²⋊C₄	—	43	1	no	—
905	C₂²×C₂²⋊C₄	—	43	1	no	—
906	C₂²×C₂²⋊C₄	—	43	1	no	—
907	C₂²×C₂²⋊C₄	—	43	1	no	—
908	C₂²×C₂²⋊C₄	—	43	1	no	—
909	C₂²×C₂²⋊C₄	—	43	1	no	—
910	C₂²×C₂²⋊C₄	—	43	1	no	—
911	C₂²×C₂²⋊C₄	—	43	1	no	—
912	C₂²×C₂²⋊C₄	—	43	1	no	—
913	C₂²×C₄²	—	43	1	no	—
914	C₂²×C₄²	—	43	1	no	—
915	#389	—	43	1	no	—
916	#389	—	43	1	no	—
917	#389	—	43	1	no	—
918	#389	—	43	1	no	—
919	#389	—	43	1	no	—
920	#389	—	43	1	no	—
921	#389	—	43	1	no	—
922	#389	C₂×D₄₃	1	1	yes	characteristic, complemented
923	#388	—	43	1	no	—
924	#388	—	43	1	no	—
925	#388	—	43	1	no	—
926	#388	—	43	1	no	—
927	#388	—	43	1	no	—
928	#388	—	43	1	no	—
929	#388	—	43	1	no	—
930	#388	—	43	1	no	—
931	#388	—	43	1	no	—
932	#388	—	43	1	no	—
933	#388	—	43	1	no	—
934	#388	—	43	1	no	—
935	#388	—	43	1	no	—
936	#388	—	43	1	no	—
937	#388	C₂×D₄₃	1	1	yes	characteristic, complemented
938	#388	C₂×D₄₃	1	1	yes	characteristic, complemented
939	#387	—	43	1	no	—
940	#387	—	43	1	no	—
941	#387	—	43	1	no	—
942	#387	—	43	1	no	—
943	#387	—	43	1	no	—
944	#387	—	43	1	no	—
945	#387	—	43	1	no	—
946	#387	—	43	1	no	—
947	#387	—	43	1	no	—
948	#387	—	43	1	no	—
949	#387	—	43	1	no	—
950	#387	—	43	1	no	—
951	#387	—	43	1	no	—
952	#387	—	43	1	no	—
953	#387	C₂×D₄₃	1	1	yes	characteristic, complemented
954	#387	C₂×D₄₃	1	1	yes	characteristic, complemented
955	#386	—	43	1	no	—
956	#386	—	43	1	no	—
957	#386	—	43	1	no	—
958	#386	—	43	1	no	—
959	#386	—	43	1	no	—
960	#386	—	43	1	no	—
961	#386	—	43	1	no	—
962	#386	C₂×D₄₃	1	1	yes	characteristic
963	#385	—	43	1	no	—
964	#385	—	43	1	no	—
965	#385	—	43	1	no	—
966	#385	—	43	1	no	—
967	#385	—	43	1	no	—
968	#385	—	43	1	no	—
969	#385	—	43	1	no	—
970	#385	—	43	1	no	—
971	#385	—	43	1	no	—
972	#385	—	43	1	no	—
973	#385	—	43	1	no	—
974	#385	—	43	1	no	—
975	#385	—	43	1	no	—
976	#385	—	43	1	no	—
977	#385	C₂×D₄₃	1	1	yes	characteristic, complemented
978	#385	C₂×D₄₃	1	1	yes	characteristic, complemented
979	#381	—	43	1	no	—
980	#381	—	43	1	no	—
981	#381	—	43	1	no	—
982	#381	—	43	1	no	—
983	#381	—	43	1	no	—
984	#381	—	43	1	no	—
985	#381	—	43	1	no	—
986	#381	—	43	1	no	—
987	#381	—	43	1	no	—
988	#381	—	43	1	no	—
989	#380	—	43	1	no	—
990	#380	—	43	1	no	—
991	#380	—	43	1	no	—
992	#380	—	43	1	no	—
993	#379	—	43	1	no	—
994	#379	—	43	1	no	—
995	C₄×C₄⋊C₄	—	43	1	no	—
996	C₄×C₄⋊C₄	—	43	1	no	—
997	C₄×C₄⋊C₄	—	43	1	no	—
998	C₄×C₄⋊C₄	—	43	1	no	—
999	C₄×C₄⋊C₄	—	43	1	no	—
1000	C₄×C₄⋊C₄	—	43	1	no	—
1001	C₄×C₄⋊C₄	—	43	1	no	—
1002	C₄×C₄⋊C₄	C₂×D₄₃	1	1	yes	characteristic, complemented
1003	C₄×C₂²⋊C₄	—	43	1	no	—
1004	C₄×C₂²⋊C₄	—	43	1	no	—
1005	C₄×C₂²⋊C₄	—	43	1	no	—
1006	C₄×C₂²⋊C₄	—	43	1	no	—
1007	C₄×C₂²⋊C₄	—	43	1	no	—
1008	C₄×C₂²⋊C₄	—	43	1	no	—
1009	C₄×C₂²⋊C₄	—	43	1	no	—
1010	C₄×C₂²⋊C₄	—	43	1	no	—
1011	C₄×C₂²⋊C₄	—	43	1	no	—
1012	C₄×C₂²⋊C₄	—	43	1	no	—
1013	C₄×C₂²⋊C₄	—	43	1	no	—
1014	C₄×C₂²⋊C₄	—	43	1	no	—
1015	C₄×C₂²⋊C₄	—	43	1	no	—
1016	C₄×C₂²⋊C₄	—	43	1	no	—
1017	C₄×C₂²⋊C₄	—	43	1	no	—
1018	C₄×C₂²⋊C₄	—	43	1	no	—
1019	C₄×C₂²⋊C₄	—	43	1	no	—
1020	C₄×C₂²⋊C₄	—	43	1	no	—
1021	C₄×C₂²⋊C₄	C₂×D₄₃	1	1	yes	characteristic, complemented
1022	C₄×C₂²⋊C₄	C₂×D₄₃	1	1	yes	characteristic, complemented
1023	C₂×#95	—	43	1	no	—
1024	C₂×#95	—	43	1	no	—
1025	C₂×#95	—	43	1	no	—
1026	C₂×#95	C₂×D₄₃	1	1	yes	characteristic, complemented
1027	C₄₃	#34199	1	1	yes	characteristic, complemented, Sylow
1028	C₂⁵	—	43	1	no	—
1029	C₂⁵	—	43	1	no	—
1030	C₂²×D₄	—	43	1	no	—
1031	C₂²×D₄	—	43	1	no	—
1032	C₂²×D₄	—	43	8	no	—
1033	C₂²×D₄	—	43	1	no	—
1034	C₂²×D₄	—	86	4	no	—
1035	C₂²×D₄	—	86	4	no	—
1036	C₂²×D₄	C₂²×D₄₃	1	1	yes	characteristic
1037	C₂³×C₄	—	43	1	no	—
1038	C₂³×C₄	—	43	8	no	—
1039	C₂³×C₄	—	43	1	no	—
1040	C₂³×C₄	—	43	1	no	—
1041	C₂³×C₄	—	43	1	no	—
1042	C₂³×C₄	—	43	1	no	—
1043	C₂³×C₄	—	43	1	no	—
1044	C₂³×C₄	—	43	1	no	—
1045	C₂³×C₄	—	43	1	no	—
1046	C₂³×C₄	—	43	1	no	—
1047	C₂³×C₄	—	43	1	no	—
1048	C₂³×C₄	—	43	1	no	—
1049	C₂³×C₄	—	43	1	no	—
1050	C₂³×C₄	—	43	1	no	—
1051	C₂³×C₄	—	43	1	no	—
1052	C₂³×C₄	—	43	1	no	—
1053	C₂³×C₄	—	43	1	no	—
1054	C₂³×C₄	—	43	1	no	—
1055	C₂³×C₄	—	86	4	no	—
1056	C₂³×C₄	—	86	4	no	—
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	#123	—	43	8	no	—
1062	#123	—	43	8	no	—
1063	#123	—	43	8	no	—
1064	#123	—	43	8	no	—
1065	#123	—	43	8	no	—
1066	#123	—	43	8	no	—
1067	#123	—	43	8	no	—
1068	#123	C₄×D₄₃	1	8	yes	complemented
1069	C₄×D₄	—	2	4	no	—
1070	C₄×D₄	—	86	4	no	—
1071	C₄×D₄	—	86	4	no	—
1072	C₄×D₄	—	86	4	no	—
1073	C₄×D₄	—	86	4	no	—
1074	C₄×D₄	—	86	4	no	—
1075	C₄×D₄	—	86	4	no	—
1076	C₄×D₄	—	86	4	no	—
1077	#117	—	2	4	no	—
1078	#117	—	86	4	no	—
1079	#117	—	86	4	no	—
1080	#117	—	86	4	no	—
1081	#117	—	86	4	no	—
1082	#117	—	86	4	no	—
1083	#117	—	86	4	no	—
1084	#117	—	86	4	no	—
1085	#117	—	86	4	no	—
1086	#117	—	86	4	no	—
1087	C₂×C₄⋊C₄	—	43	1	no	—
1088	C₂×C₄⋊C₄	—	43	1	no	—
1089	C₂×C₄⋊C₄	—	43	1	no	—
1090	C₂×C₄⋊C₄	—	43	1	no	—
1091	C₂×C₄⋊C₄	—	43	1	no	—
1092	C₂×C₄⋊C₄	—	43	1	no	—
1093	C₂×C₄⋊C₄	—	43	8	no	—
1094	C₂×C₄⋊C₄	—	43	8	no	—
1095	C₂×C₄⋊C₄	—	43	1	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	—	86	4	no	—
1111	C₂×C₄⋊C₄	—	86	4	no	—
1112	C₂×C₄⋊C₄	C₂²×D₄₃	1	1	yes	characteristic
1113	C₂×C₄⋊C₄	C₂²×D₄₃	1	1	yes	characteristic
1114	C₂×C₄⋊C₄	C₂²×D₄₃	1	1	yes	characteristic
1115	C₂×C₄⋊C₄	C₂²×D₄₃	1	1	yes	characteristic
1116	C₂×C₄⋊C₄	C₂²×D₄₃	1	1	yes	characteristic
1117	C₂×C₄⋊C₄	C₂²×D₄₃	1	1	yes	characteristic
1118	C₂×C₄⋊C₄	C₂²×D₄₃	1	1	yes	characteristic
1119	C₂×C₂²⋊C₄	—	43	1	no	—
1120	C₂×C₂²⋊C₄	—	43	1	no	—
1121	C₂×C₂²⋊C₄	—	43	1	no	—
1122	C₂×C₂²⋊C₄	—	43	1	no	—
1123	C₂×C₂²⋊C₄	—	43	1	no	—
1124	C₂×C₂²⋊C₄	—	43	1	no	—
1125	C₂×C₂²⋊C₄	—	43	1	no	—
1126	C₂×C₂²⋊C₄	—	43	1	no	—
1127	C₂×C₂²⋊C₄	—	43	1	no	—
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	8	no	—
1132	C₂×C₂²⋊C₄	—	43	8	no	—
1133	C₂×C₂²⋊C₄	—	43	8	no	—
1134	C₂×C₂²⋊C₄	—	43	8	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	—	86	4	no	—
1156	C₂×C₂²⋊C₄	—	86	4	no	—
1157	C₂×C₂²⋊C₄	—	86	4	no	—
1158	C₂×C₂²⋊C₄	—	86	4	no	—
1159	C₂×C₂²⋊C₄	—	86	4	no	—
1160	C₂×C₂²⋊C₄	C₂²×D₄₃	1	1	yes	characteristic
1161	C₂×C₂²⋊C₄	C₂²×D₄₃	1	1	yes	characteristic
1162	C₂×C₂²⋊C₄	C₂²×D₄₃	1	1	yes	characteristic
1163	C₂×C₂²⋊C₄	C₂²×D₄₃	1	1	yes	characteristic
1164	C₂×C₂²⋊C₄	C₂²×D₄₃	1	1	yes	characteristic
1165	C₂×C₂²⋊C₄	C₂²×D₄₃	1	1	yes	characteristic
1166	C₂×C₂²⋊C₄	C₂²×D₄₃	1	1	yes	characteristic
1167	C₂×C₂²⋊C₄	C₂²×D₄₃	1	1	yes	characteristic
1168	C₂×C₄²	—	43	1	no	—
1169	C₂×C₄²	—	43	1	no	—
1170	C₂×C₄²	—	43	1	no	—
1171	C₂×C₄²	—	43	1	no	—
1172	C₂×C₄²	—	43	1	no	—
1173	C₂×C₄²	—	43	1	no	—
1174	C₂×C₄²	—	43	1	no	—
1175	C₂×C₄²	—	43	1	no	—
1176	C₂×C₄²	—	43	1	no	—
1177	C₂×C₄²	—	43	1	no	—
1178	C₂×C₄²	—	43	1	no	—
1179	C₂×C₄²	—	43	1	no	—
1180	C₂×C₄²	—	43	1	no	—
1181	C₂×C₄²	—	43	1	no	—
1182	C₂×C₄²	—	43	1	no	—
1183	C₂×C₄²	—	86	4	no	—
1184	C₂×C₄²	—	86	4	no	—
1185	C₂×C₄²	C₂²×D₄₃	1	1	yes	characteristic
1186	C₂×C₄²	C₂²×D₄₃	1	1	yes	characteristic
1187	C₂×C₄²	C₂²×D₄₃	1	1	yes	characteristic
1188	C₂×C₄²	C₂²×D₄₃	1	1	yes	characteristic
1189	C₂×C₄²	C₂²×D₄₃	1	1	yes	characteristic
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	C₂²×D₄₃	1	1	yes	characteristic
1221	#95	C₂²×D₄₃	1	1	yes	characteristic
1222	#95	C₂²×D₄₃	1	1	yes	characteristic
1223	#95	C₂²×D₄₃	1	1	yes	characteristic
1224	#95	C₂²×D₄₃	1	1	yes	characteristic
1225	#95	C₂²×D₄₃	1	1	yes	characteristic
1226	#95	C₂²×D₄₃	1	1	yes	characteristic
1227	#95	C₂²×D₄₃	1	1	yes	characteristic
1228	#95	C₂²×D₄₃	1	1	yes	characteristic
1229	#95	C₂²×D₄₃	1	1	yes	characteristic
1230	C₂⁴	—	43	1	no	—
1231	C₂⁴	—	43	1	no	—
1232	C₂⁴	—	43	4	no	—
1233	C₂⁴	—	43	4	no	—
1234	C₂⁴	—	43	4	no	—
1235	C₂⁴	—	43	1	no	—
1236	C₂⁴	—	43	4	no	—
1237	C₂⁴	—	86	2	no	—
1238	C₂⁴	—	86	2	no	—
1239	C₂⁴	—	172	1	no	—
1240	C₂⁴	—	172	1	no	—
1241	C₂⁴	—	172	1	no	—
1242	C₂⁴	—	172	1	no	—
1243	C₂⁴	—	172	1	no	—
1244	C₂⁴	—	172	1	no	—
1245	C₂⁴	—	172	1	no	—
1246	C₂⁴	—	172	1	no	—
1247	C₂⁴	C₂³×D₄₃	1	1	yes	characteristic
1248	C₂⁴	C₂³×D₄₃	1	1	yes	characteristic
1249	C₂×D₄	—	2	2	no	—
1250	C₂×D₄	—	2	2	no	—
1251	C₂×D₄	—	43	4	no	—
1252	C₂×D₄	—	43	4	no	—
1253	C₂×D₄	—	43	4	no	—
1254	C₂×D₄	—	86	2	no	—
1255	C₂×D₄	—	86	2	no	—
1256	C₂×D₄	—	86	32	no	—
1257	C₂×D₄	—	86	2	no	—
1258	C₂×D₄	—	86	2	no	—
1259	C₂×D₄	—	86	2	no	—
1260	C₂×D₄	—	86	2	no	—
1261	C₂×D₄	C₂×C₄×D₄₃	1	4	yes	—
1262	C₂²×C₄	—	2	2	no	—
1263	C₂²×C₄	—	2	2	no	—
1264	C₂²×C₄	—	2	2	no	—
1265	C₂²×C₄	—	2	2	no	—
1266	C₂²×C₄	—	2	2	no	—
1267	C₂²×C₄	—	4	1	no	—
1268	C₂²×C₄	—	4	1	no	—
1269	C₂²×C₄	—	4	1	no	—
1270	C₂²×C₄	—	4	1	no	—
1271	C₂²×C₄	—	4	1	no	—
1272	C₂²×C₄	—	4	1	no	—
1273	C₂²×C₄	—	43	4	no	—
1274	C₂²×C₄	—	43	1	no	—
1275	C₂²×C₄	—	43	1	no	—
1276	C₂²×C₄	—	43	1	no	—
1277	C₂²×C₄	—	43	1	no	—
1278	C₂²×C₄	—	43	1	no	—
1279	C₂²×C₄	—	43	1	no	—
1280	C₂²×C₄	—	43	1	no	—
1281	C₂²×C₄	—	43	4	no	—
1282	C₂²×C₄	—	43	4	no	—
1283	C₂²×C₄	—	43	4	no	—
1284	C₂²×C₄	—	43	4	no	—
1285	C₂²×C₄	—	43	4	no	—
1286	C₂²×C₄	—	43	4	no	—
1287	C₂²×C₄	—	43	4	no	—
1288	C₂²×C₄	—	43	4	no	—
1289	C₂²×C₄	—	43	4	no	—
1290	C₂²×C₄	—	43	1	no	—
1291	C₂²×C₄	—	43	1	no	—
1292	C₂²×C₄	—	43	1	no	—
1293	C₂²×C₄	—	43	1	no	—
1294	C₂²×C₄	—	43	1	no	—
1295	C₂²×C₄	—	43	1	no	—
1296	C₂²×C₄	—	86	2	no	—
1297	C₂²×C₄	—	86	2	no	—
1298	C₂²×C₄	—	86	2	no	—
1299	C₂²×C₄	—	86	2	no	—
1300	C₂²×C₄	—	86	2	no	—
1301	C₂²×C₄	—	86	2	no	—
1302	C₂²×C₄	—	86	32	no	—
1303	C₂²×C₄	—	86	2	no	—
1304	C₂²×C₄	—	86	2	no	—
1305	C₂²×C₄	—	86	2	no	—
1306	C₂²×C₄	—	86	2	no	—
1307	C₂²×C₄	—	86	2	no	—
1308	C₂²×C₄	—	86	2	no	—
1309	C₂²×C₄	—	86	2	no	—
1310	C₂²×C₄	—	86	2	no	—
1311	C₂²×C₄	—	86	2	no	—
1312	C₂²×C₄	—	86	2	no	—
1313	C₂²×C₄	—	86	2	no	—
1314	C₂²×C₄	—	86	2	no	—
1315	C₂²×C₄	—	86	2	no	—
1316	C₂²×C₄	—	172	1	no	—
1317	C₂²×C₄	—	172	1	no	—
1318	C₂²×C₄	—	172	1	no	—
1319	C₂²×C₄	—	172	1	no	—
1320	C₂²×C₄	—	172	1	no	—
1321	C₂²×C₄	—	172	1	no	—
1322	C₂²×C₄	—	172	1	no	—
1323	C₂²×C₄	—	172	1	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	—	172	1	no	—
1333	C₂²×C₄	—	172	1	no	—
1334	C₂²×C₄	—	172	1	no	—
1335	C₂²×C₄	—	172	1	no	—
1336	C₂²×C₄	—	172	1	no	—
1337	C₂²×C₄	—	172	1	no	—
1338	C₂²×C₄	C₂×C₄×D₄₃	1	4	yes	—
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	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
1345	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
1346	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
1347	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
1348	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
1349	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
1350	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
1351	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
1352	C₄⋊C₄	—	2	2	no	—
1353	C₄⋊C₄	—	2	2	no	—
1354	C₄⋊C₄	—	2	2	no	—
1355	C₄⋊C₄	—	4	1	no	—
1356	C₄⋊C₄	—	4	1	no	—
1357	C₄⋊C₄	—	43	4	no	—
1358	C₄⋊C₄	—	43	4	no	—
1359	C₄⋊C₄	—	43	4	no	—
1360	C₄⋊C₄	—	43	4	no	—
1361	C₄⋊C₄	—	43	4	no	—
1362	C₄⋊C₄	—	43	4	no	—
1363	C₄⋊C₄	—	86	2	no	—
1364	C₄⋊C₄	—	86	2	no	—
1365	C₄⋊C₄	—	86	2	no	—
1366	C₄⋊C₄	—	86	2	no	—
1367	C₄⋊C₄	—	86	2	no	—
1368	C₄⋊C₄	—	86	2	no	—
1369	C₄⋊C₄	—	86	2	no	—
1370	C₄⋊C₄	—	86	2	no	—
1371	C₄⋊C₄	—	86	2	no	—
1372	C₄⋊C₄	—	172	1	no	—
1373	C₄⋊C₄	—	172	1	no	—
1374	C₄⋊C₄	—	172	1	no	—
1375	C₄⋊C₄	—	172	1	no	—
1376	C₄⋊C₄	—	172	1	no	—
1377	C₄⋊C₄	—	172	1	no	—
1378	C₄⋊C₄	C₂×C₄×D₄₃	1	4	yes	—
1379	C₄⋊C₄	C₂×C₄×D₄₃	1	4	yes	—
1380	C₂²⋊C₄	—	2	2	no	—
1381	C₂²⋊C₄	—	2	2	no	—
1382	C₂²⋊C₄	—	4	1	no	—
1383	C₂²⋊C₄	—	4	1	no	—
1384	C₂²⋊C₄	—	43	4	no	—
1385	C₂²⋊C₄	—	43	4	no	—
1386	C₂²⋊C₄	—	43	4	no	—
1387	C₂²⋊C₄	—	43	4	no	—
1388	C₂²⋊C₄	—	43	4	no	—
1389	C₂²⋊C₄	—	43	4	no	—
1390	C₂²⋊C₄	—	43	4	no	—
1391	C₂²⋊C₄	—	43	4	no	—
1392	C₂²⋊C₄	—	43	4	no	—
1393	C₂²⋊C₄	—	43	4	no	—
1394	C₂²⋊C₄	—	43	4	no	—
1395	C₂²⋊C₄	—	43	4	no	—
1396	C₂²⋊C₄	—	86	2	no	—
1397	C₂²⋊C₄	—	86	2	no	—
1398	C₂²⋊C₄	—	86	2	no	—
1399	C₂²⋊C₄	—	86	2	no	—
1400	C₂²⋊C₄	—	86	2	no	—
1401	C₂²⋊C₄	—	86	2	no	—
1402	C₂²⋊C₄	—	86	2	no	—
1403	C₂²⋊C₄	—	86	2	no	—
1404	C₂²⋊C₄	—	86	2	no	—
1405	C₂²⋊C₄	—	86	2	no	—
1406	C₂²⋊C₄	—	86	2	no	—
1407	C₂²⋊C₄	—	86	2	no	—
1408	C₂²⋊C₄	—	86	2	no	—
1409	C₂²⋊C₄	—	86	2	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	C₂×C₄×D₄₃	1	4	yes	—
1417	C₂²⋊C₄	C₂×C₄×D₄₃	1	4	yes	—
1418	C₂²⋊C₄	C₂×C₄×D₄₃	1	4	yes	—
1419	C₂²⋊C₄	D₄×D₄₃	1	4	yes	—
1420	C₄²	—	2	2	no	—
1421	C₄²	—	2	2	no	—
1422	C₄²	—	2	2	no	—
1423	C₄²	—	4	1	no	—
1424	C₄²	—	4	1	no	—
1425	C₄²	—	86	2	no	—
1426	C₄²	—	86	2	no	—
1427	C₄²	—	86	2	no	—
1428	C₄²	—	86	2	no	—
1429	C₄²	—	86	2	no	—
1430	C₄²	—	86	2	no	—
1431	C₄²	—	86	2	no	—
1432	C₄²	—	86	2	no	—
1433	C₄²	—	86	2	no	—
1434	C₄²	—	172	1	no	—
1435	C₄²	—	172	1	no	—
1436	C₄²	—	172	1	no	—
1437	C₄²	—	172	1	no	—
1438	C₄²	—	172	1	no	—
1439	C₄²	—	172	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	—	43	2	no	—
1451	C₂³	—	43	2	no	—
1452	C₂³	—	43	2	no	—
1453	C₂³	—	43	2	no	—
1454	C₂³	—	43	2	no	—
1455	C₂³	—	43	2	no	—
1456	C₂³	—	43	16	no	—
1457	C₂³	—	43	2	no	—
1458	C₂³	—	86	8	no	—
1459	C₂³	—	86	1	no	—
1460	C₂³	—	86	1	no	—
1461	C₂³	—	86	1	no	—
1462	C₂³	—	86	1	no	—
1463	C₂³	—	86	1	no	—
1464	C₂³	—	86	1	no	—
1465	C₂³	—	86	1	no	—
1466	C₂³	—	86	1	no	—
1467	C₂³	—	86	1	no	—
1468	C₂³	—	86	1	no	—
1469	C₂³	—	86	1	no	—
1470	C₂³	—	86	1	no	—
1471	C₂³	—	86	1	no	—
1472	C₂³	—	86	1	no	—
1473	C₂³	—	344	2	no	—
1474	C₂³	—	344	2	no	—
1475	C₂³	—	344	2	no	—
1476	C₂³	—	344	2	no	—
1477	C₂³	—	172	4	no	—
1478	C₂³	—	172	4	no	—
1479	C₂³	—	172	4	no	—
1480	C₂³	—	172	4	no	—
1481	C₂³	—	172	4	no	—
1482	C₂³	—	172	4	no	—
1483	C₂³	—	172	4	no	—
1484	C₂³	—	172	4	no	—
1485	C₂³	C₂²×C₄×D₄₃	1	2	yes	—
1486	C₂³	C₂²×C₄×D₄₃	1	2	yes	—
1487	C₂³	C₂×D₄×D₄₃	1	2	yes	—
1488	C₂³	#41×D₄₃	1	2	yes	—
1489	C₂³	C₂⁴×D₄₃	1	1	yes	characteristic
1490	D₄	—	2	8	no	—
1491	D₄	—	86	8	no	—
1492	D₄	—	86	8	no	—
1493	D₄	—	86	8	no	—
1494	C₂×C₄	—	2	8	no	—
1495	C₂×C₄	—	2	1	no	—
1496	C₂×C₄	—	2	1	no	—
1497	C₂×C₄	—	2	1	no	—
1498	C₂×C₄	—	2	1	no	—
1499	C₂×C₄	—	2	1	no	—
1500	C₂×C₄	—	2	1	no	—
1501	C₂×C₄	—	2	1	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	—	2	1	no	—
1527	C₂×C₄	—	8	2	no	—
1528	C₂×C₄	—	8	2	no	—
1529	C₂×C₄	—	8	2	no	—
1530	C₂×C₄	—	43	2	no	—
1531	C₂×C₄	—	43	2	no	—
1532	C₂×C₄	—	43	2	no	—
1533	C₂×C₄	—	43	2	no	—
1534	C₂×C₄	—	43	2	no	—
1535	C₂×C₄	—	43	2	no	—
1536	C₂×C₄	—	43	2	no	—
1537	C₂×C₄	—	86	8	no	—
1538	C₂×C₄	—	86	8	no	—
1539	C₂×C₄	—	86	8	no	—
1540	C₂×C₄	—	86	8	no	—
1541	C₂×C₄	—	86	8	no	—
1542	C₂×C₄	—	86	8	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	—	344	2	no	—
1576	C₂×C₄	—	344	2	no	—
1577	C₂×C₄	—	344	2	no	—
1578	C₂×C₄	—	344	2	no	—
1579	C₂×C₄	—	344	2	no	—
1580	C₂×C₄	—	172	4	no	—
1581	C₂×C₄	—	172	4	no	—
1582	C₂×C₄	—	172	4	no	—
1583	C₂×C₄	—	172	4	no	—
1584	C₂×C₄	—	172	4	no	—
1585	C₂×C₄	—	172	4	no	—
1586	C₂×C₄	C₂²×C₄×D₄₃	1	2	yes	—
1587	C₂×C₄	C₂²×C₄×D₄₃	1	2	yes	—
1588	C₂×C₄	C₂²×C₄×D₄₃	1	2	yes	—
1589	C₂×C₄	C₂²×C₄×D₄₃	1	2	yes	—
1590	C₂×C₄	C₂²×C₄×D₄₃	1	2	yes	—
1591	C₂×C₄	C₂×D₄×D₄₃	1	2	yes	—
1592	C₂×C₄	C₂×D₄×D₄₃	1	2	yes	—
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	—	2	2	no	—
1600	C₂²	—	2	2	no	—
1601	C₂²	—	2	2	no	—
1602	C₂²	—	4	1	no	—
1603	C₂²	—	4	1	no	—
1604	C₂²	—	4	1	no	—
1605	C₂²	—	4	1	no	—
1606	C₂²	—	43	4	no	—
1607	C₂²	—	43	4	no	—
1608	C₂²	—	86	2	no	—
1609	C₂²	—	86	2	no	—
1610	C₂²	—	86	2	no	—
1611	C₂²	—	86	2	no	—
1612	C₂²	—	86	2	no	—
1613	C₂²	—	86	2	no	—
1614	C₂²	—	86	2	no	—
1615	C₂²	—	86	2	no	—
1616	C₂²	—	86	2	no	—
1617	C₂²	—	86	2	no	—
1618	C₂²	—	86	2	no	—
1619	C₂²	—	86	2	no	—
1620	C₂²	—	86	2	no	—
1621	C₂²	—	86	2	no	—
1622	C₂²	—	86	2	no	—
1623	C₂²	—	344	8	no	—
1624	C₂²	—	172	16	no	—
1625	C₂²	—	172	1	no	—
1626	C₂²	—	172	1	no	—
1627	C₂²	—	172	1	no	—
1628	C₂²	—	172	1	no	—
1629	C₂²	C₄×D₄×D₄₃	1	4	yes	—
1630	C₂²	C₂³×C₄×D₄₃	1	1	yes	characteristic
1631	C₂²	C₂²×D₄×D₄₃	1	1	yes	characteristic
1632	C₂²	C₂×#41×D₄₃	1	1	yes	characteristic
1633	C₂²	#14583734	1	1	yes	characteristic
1634	C₂²	#14583735	1	1	yes	characteristic
1635	C₂²	#14583735	1	1	yes	characteristic
1636	C₂²	#14583736	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	—	2	2	no	—
1644	C₄	—	4	1	no	—
1645	C₄	—	4	1	no	—
1646	C₄	—	4	1	no	—
1647	C₄	—	4	1	no	—
1648	C₄	—	4	1	no	—
1649	C₄	—	4	1	no	—
1650	C₄	—	86	2	no	—
1651	C₄	—	86	2	no	—
1652	C₄	—	86	2	no	—
1653	C₄	—	86	2	no	—
1654	C₄	—	86	2	no	—
1655	C₄	—	86	2	no	—
1656	C₄	—	86	2	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	C₄	—	172	1	no	—
1663	C₂	—	2	4	no	—
1664	C₂	—	4	2	no	—
1665	C₂	—	86	4	no	—
1666	C₂	—	86	4	no	—
1667	C₂	—	172	2	no	—
1668	C₂	C₂×C₄×D₄×D₄₃	1	1	yes	characteristic
1669	C₂	#19147794	1	1	yes	characteristic
1670	C₂	#19147795	1	1	yes	characteristic
1671	C₂	#19148232	1	1	yes	characteristic
1672	C₂	#19148234	1	1	yes	characteristic
1673	C₂	#19148286	1	1	yes	characteristic
1674	C₂	#19148290	1	1	yes	characteristic

	subgroup	G/H
center, Frattini	C₂³	C₂⁴×D₄₃
commutator	C₂²×C₄₃	C₂⁴×C₄
Fitting	C₄₃×#2359	C₂
socle, cosocle	C₂³×C₄₃	C₂⁵
prime radical	C₂²×D₄×D₄₃	C₂²
hypercenter	#2359	D₄₃
hypocenter	C₄₃	#34199
LCS	G ▷ C₂²×C₄₃ ▷ C₄₃
UCS	C₁ ◁ C₂³ ◁ #2359

Complements

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

N	H ≅ G/N	type
3. C₂×#117×D₄₃	C₂	semidirect
4. #19137593	C₂	semidirect
5. #19137591	C₂	semidirect
6. #19137589	C₂	semidirect
7. #19137587	C₂	semidirect
8. #19137585	C₂	semidirect
9. #19137583	C₂	semidirect
10. #19137581	C₂	semidirect
11. #19137463	C₂	semidirect
12. #19137461	C₂	semidirect
13. #19137461	C₂	semidirect
14. #19137460	C₂	semidirect
15. #19137443	C₂	semidirect
16. #19137442	C₂	semidirect
17. #19137439	C₂	semidirect
18. #19137438	C₂	semidirect
19. #19137268	C₂	semidirect
20. #19137265	C₂	semidirect
21. #19137262	C₂	semidirect
22. #19137259	C₂	semidirect
23. #19137206	C₂	semidirect
25. #19137122	C₂	semidirect
26. C₄×#13063310	C₂	semidirect
27. #19137116	C₂	semidirect
28. C₄×#13063307	C₂	semidirect
29. C₂×#14582761	C₂	semidirect
30. #19136947	C₂	semidirect
31. C₄₃×#2359	C₂	semidirect
41. #123×D₄₃	C₄	semidirect
50. C₂×#13063284	C₂²	semidirect
57. C₂×#13063281	C₂²	semidirect
58. C₂×#13063281	C₂²	semidirect
62. C₂×C₄⋊C₄×D₄₃	C₂²	semidirect
63. C₂×C₄⋊C₄×D₄₃	C₂²	semidirect
73. C₂×C₄²×D₄₃	C₂²	semidirect
74. C₂×C₄²×D₄₃	C₂²	semidirect
75. #14582798	C₂²	semidirect
76. #14582797	C₂²	semidirect
77. #14582796	C₂²	semidirect
78. #14582796	C₂²	semidirect
79. #14582795	C₂²	semidirect
80. #14582794	C₂²	semidirect
81. #14582794	C₂²	semidirect
82. #14582793	C₂²	semidirect
83. #14582793	C₂²	semidirect
84. #14582792	C₂²	semidirect
85. #14582792	C₂²	semidirect
86. #14582791	C₂²	semidirect
87. #14582791	C₂²	semidirect
88. #14582790	C₂²	semidirect
89. #14582790	C₂²	semidirect
90. #14582789	C₂²	semidirect
91. #14582789	C₂²	semidirect
92. #14582788	C₂²	semidirect
93. #14582788	C₂²	semidirect
94. #14582787	C₂²	semidirect
95. #14582787	C₂²	semidirect
96. #14582786	C₂²	semidirect
97. #14582786	C₂²	semidirect
98. #14582785	C₂²	semidirect
99. #14582785	C₂²	semidirect
100. #14582784	C₂²	semidirect
101. #14582784	C₂²	semidirect
102. #14582783	C₂²	semidirect
103. #14582783	C₂²	semidirect
104. #14582782	C₂²	semidirect
105. #14582782	C₂²	semidirect
106. #14582781	C₂²	semidirect
107. #14582781	C₂²	semidirect
108. #14582780	C₂²	semidirect
109. #14582780	C₂²	semidirect
117. #14582774	C₂²	semidirect
118. #14582774	C₂²	semidirect
119. #14582773	C₂²	semidirect
120. #14582773	C₂²	semidirect
121. #14582773	C₂²	semidirect
122. #14582773	C₂²	semidirect
123. #14582772	C₂²	semidirect
124. #14582772	C₂²	semidirect
125. #14582771	C₂²	semidirect
126. #14582771	C₂²	semidirect
127. #14582770	C₂²	semidirect
128. #14582770	C₂²	semidirect
129. #14582770	C₂²	semidirect
130. #14582770	C₂²	semidirect
137. #14582761	C₂²	semidirect
138. #14582761	C₂²	semidirect
139. #14582761	C₂²	semidirect
140. #14582761	C₂²	semidirect
147. C₄⋊C₄×Dic₄₃	C₂²	semidirect
148. C₄⋊C₄×Dic₄₃	C₂²	semidirect
149. C₄×Dic₄₃⋊C₄	C₂²	semidirect
150. C₄×Dic₄₃⋊C₄	C₂²	semidirect
151. C₄×C₄⋊Dic₄₃	C₂²	semidirect
152. #14582750	C₂²	semidirect
153. #14582750	C₂²	semidirect
154. C₂²⋊C₄×Dic₄₃	C₂²	semidirect
155. C₂²⋊C₄×Dic₄₃	C₂²	semidirect
156. C₂²⋊C₄×Dic₄₃	C₂²	semidirect
157. C₂²⋊C₄×Dic₄₃	C₂²	semidirect
160. C₄×(C₂×D₄₃)⋊C₄	C₂²	semidirect
161. C₄×(C₂×D₄₃)⋊C₄	C₂²	semidirect
162. C₄×(C₂×D₄₃)⋊C₄	C₂²	semidirect
163. C₄×(C₂×D₄₃)⋊C₄	C₂²	semidirect
164. C₄×C₂²⋊Dic₄₃	C₂²	semidirect
165. C₄×C₂²⋊Dic₄₃	C₂²	semidirect
168. #14582746	C₂²	semidirect
169. #14582746	C₂²	semidirect
170. #14582746	C₂²	semidirect
171. #14582746	C₂²	semidirect
172. C₂×C₄₃⋊#95	C₂²	semidirect
173. C₂×C₄₃⋊#95	C₂²	semidirect
174. C₂×C₄₃⋊#95	C₂²	semidirect
177. C₂×#117×C₄₃	C₂²	semidirect
178. C₄₃×#389	C₂²	semidirect
179. C₄₃×#388	C₂²	semidirect
180. C₄₃×#388	C₂²	semidirect
181. C₄₃×#387	C₂²	semidirect
182. C₄₃×#387	C₂²	semidirect
184. C₄₃×#385	C₂²	semidirect
185. C₄₃×#385	C₂²	semidirect
186. C₄×C₄⋊C₄×C₄₃	C₂²	semidirect
187. C₄×C₂²⋊C₄×C₄₃	C₂²	semidirect
188. C₄×C₂²⋊C₄×C₄₃	C₂²	semidirect
189. C₂×#95×C₄₃	C₂²	semidirect
204. C₂²×C₄×D₄₃	C₂×C₄	semidirect
218. #13063310	C₂×C₄	semidirect
219. #13063310	C₂×C₄	semidirect
220. #13063309	C₂×C₄	semidirect
221. #13063308	C₂×C₄	semidirect
222. #13063307	C₂×C₄	semidirect
223. #13063307	C₂×C₄	semidirect
224. #13063306	C₂×C₄	semidirect
264. C₄⋊C₄×D₄₃	C₂×C₄	semidirect
265. C₄⋊C₄×D₄₃	C₂×C₄	semidirect
303. C₂²⋊C₄×D₄₃	C₂×C₄	semidirect
304. C₂²⋊C₄×D₄₃	C₂×C₄	semidirect
305. C₂²⋊C₄×D₄₃	C₂×C₄	semidirect
359. #123×C₄₃	C₂×C₄	semidirect
836. #2359	D₄₃	semidirect
899. C₂×#117	C₂×D₄₃	semidirect
922. #389	C₂×D₄₃	semidirect
937. #388	C₂×D₄₃	semidirect
938. #388	C₂×D₄₃	semidirect
953. #387	C₂×D₄₃	semidirect
954. #387	C₂×D₄₃	semidirect
977. #385	C₂×D₄₃	semidirect
978. #385	C₂×D₄₃	semidirect
1002. C₄×C₄⋊C₄	C₂×D₄₃	semidirect
1021. C₄×C₂²⋊C₄	C₂×D₄₃	semidirect
1022. C₄×C₂²⋊C₄	C₂×D₄₃	semidirect
1026. C₂×#95	C₂×D₄₃	semidirect
1027. C₄₃	#34199	semidirect
1068. #123	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×#123×D₄₃	2
C₂×#14583371	2
C₂×#117×D₄₃	2
#19137593	2
#19137591	2
#19137589	2
#19137587	2
#19137585	2
#19137583	2
#19137581	2
#19137463	2
#19137461	2
#19137460	2
#19137443	2
#19137442	2
#19137439	2
#19137438	2
#19137268	2
#19137265	2
#19137262	2
#19137259	2
#19137206	2
#19137169	2
#19137122	2
C₄×#13063310	2
#19137116	2
C₄×#13063307	2
C₂×#14582761	2
#19136947	2
C₄₃×#2359	2
#34199	43