Subgroups — D₄₃×#2359 #25256092

Order 11008.

3830 conjugacy classes of subgroups.

The subgroup lattice has 1754 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×C₄×D₄×D₄₃	C₂	1	1	yes	maximal, characteristic
3	C₂×#117×D₄₃	C₂	1	1	yes	maximal, characteristic, complemented
4	#19137594	C₂	1	1	yes	maximal, characteristic, complemented
5	#19137593	C₂	1	1	yes	maximal, characteristic, complemented
6	#19137592	C₂	1	1	yes	maximal, characteristic, complemented
7	#19137591	C₂	1	1	yes	maximal, characteristic, complemented
8	#19137590	C₂	1	1	yes	maximal, characteristic, complemented
9	#19137589	C₂	1	1	yes	maximal, characteristic, complemented
10	#19137588	C₂	1	1	yes	maximal, characteristic, complemented
11	#19137587	C₂	1	1	yes	maximal, characteristic, complemented
12	#19137586	C₂	1	1	yes	maximal, characteristic, complemented
13	#19137585	C₂	1	1	yes	maximal, characteristic, complemented
14	#19137584	C₂	1	1	yes	maximal, characteristic, complemented
15	#19137583	C₂	1	1	yes	maximal, characteristic, complemented
16	#19137582	C₂	1	1	yes	maximal, characteristic, complemented
17	#19137581	C₂	1	1	yes	maximal, characteristic, complemented
18	#19137580	C₂	1	1	yes	maximal, characteristic, complemented
19	#389×D₄₃	C₂	1	1	yes	maximal, characteristic, complemented
20	#388×D₄₃	C₂	1	1	yes	maximal, characteristic, complemented
21	#388×D₄₃	C₂	1	1	yes	maximal, characteristic, complemented
22	#387×D₄₃	C₂	1	1	yes	maximal, characteristic, complemented
23	#387×D₄₃	C₂	1	1	yes	maximal, characteristic, complemented
24	#386×D₄₃	C₂	1	1	yes	maximal, characteristic
25	#385×D₄₃	C₂	1	1	yes	maximal, characteristic, complemented
26	#385×D₄₃	C₂	1	1	yes	maximal, characteristic, complemented
27	C₄×C₄⋊C₄×D₄₃	C₂	1	1	yes	maximal, characteristic, complemented
28	C₄×C₂²⋊C₄×D₄₃	C₂	1	1	yes	maximal, characteristic, complemented
29	C₄×C₂²⋊C₄×D₄₃	C₂	1	1	yes	maximal, characteristic, complemented
30	C₂×#95×D₄₃	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	C₂³×C₄×D₄₃	C₂²	1	1	yes	characteristic
35	C₂³×C₄×D₄₃	C₂²	1	1	yes	characteristic
36	C₂³×C₄×D₄₃	C₂²	1	1	yes	characteristic
37	C₂×#13063310	C₂²	1	1	yes	characteristic
38	C₂×#13063310	C₂²	1	1	yes	characteristic
39	C₂×#13063309	C₂²	1	1	yes	characteristic
40	C₂×#13063308	C₂²	1	1	yes	characteristic
41	C₂×#13063307	C₂²	1	1	yes	characteristic
42	C₂×#13063307	C₂²	1	1	yes	characteristic
43	C₂×#13063306	C₂²	1	1	yes	characteristic
44	#123×D₄₃	C₄	1	16	yes	complemented
45	C₂×C₄×D₁₇₂	C₂²	1	1	yes	characteristic
46	C₂×D₄×Dic₄₃	C₂²	1	1	yes	characteristic
47	C₂×#13063287	C₂²	1	1	yes	characteristic
48	C₂×C₄×C₂²⋊D₄₃	C₂²	1	1	yes	characteristic
49	C₂×C₄×C₂²⋊D₄₃	C₂²	1	1	yes	characteristic
50	C₂×(C₂²⋊D₄₃)⋊C₄	C₂²	1	1	yes	characteristic
51	C₂×(C₂²⋊D₄₃)⋊C₄	C₂²	1	1	yes	characteristic
52	C₄×D₄×D₄₃	—	2	8	no	—
53	C₂×#13063284	C₂²	1	1	yes	characteristic, complemented
54	C₂×#13063283	C₂²	1	1	yes	characteristic, complemented
55	C₂×#13063283	C₂²	1	1	yes	characteristic, complemented
56	C₂×#13063282	C₂²	1	1	yes	characteristic, complemented
57	C₂×#13063282	C₂²	1	1	yes	characteristic, complemented
58	C₂×#13063281	C₂²	1	1	yes	characteristic, complemented
59	C₂×#13063281	C₂²	1	1	yes	characteristic, complemented
60	#117×D₄₃	—	2	8	no	—
61	C₂×C₄⋊C₄×D₄₃	C₂²	1	1	yes	characteristic
62	C₂×C₄⋊C₄×D₄₃	C₂²	1	1	yes	characteristic
63	C₂×C₄⋊C₄×D₄₃	C₂²	1	1	yes	characteristic
64	C₂×C₄⋊C₄×D₄₃	C₂²	1	1	yes	characteristic
65	C₂×C₄⋊C₄×D₄₃	C₂²	1	1	yes	characteristic
66	C₂×C₄⋊C₄×D₄₃	C₂²	1	1	yes	characteristic
67	C₂×C₄⋊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×C₂²⋊C₄×D₄₃	C₂²	1	1	yes	characteristic
74	C₂×C₂²⋊C₄×D₄₃	C₂²	1	1	yes	characteristic
75	C₂×C₂²⋊C₄×D₄₃	C₂²	1	1	yes	characteristic
76	C₂×C₄²×D₄₃	C₂²	1	1	yes	characteristic
77	C₂×C₄²×D₄₃	C₂²	1	1	yes	characteristic
78	C₂×C₄²×D₄₃	C₂²	1	1	yes	characteristic
79	C₂×C₄²×D₄₃	C₂²	1	1	yes	characteristic
80	C₂×C₄²×D₄₃	C₂²	1	1	yes	characteristic
81	#14582798	C₂²	1	1	yes	characteristic, complemented
82	#14582797	C₂²	1	1	yes	characteristic, complemented
83	#14582796	C₂²	1	1	yes	characteristic, complemented
84	#14582796	C₂²	1	1	yes	characteristic, complemented
85	#14582795	C₂²	1	1	yes	characteristic, complemented
86	#14582794	C₂²	1	1	yes	characteristic, complemented
87	#14582794	C₂²	1	1	yes	characteristic, complemented
88	#14582793	C₂²	1	1	yes	characteristic, complemented
89	#14582793	C₂²	1	1	yes	characteristic, complemented
90	#14582792	C₂²	1	1	yes	characteristic, complemented
91	#14582792	C₂²	1	1	yes	characteristic, complemented
92	#14582791	C₂²	1	1	yes	characteristic, complemented
93	#14582791	C₂²	1	1	yes	characteristic, complemented
94	#14582790	C₂²	1	1	yes	characteristic, complemented
95	#14582790	C₂²	1	1	yes	characteristic, complemented
96	#14582789	C₂²	1	1	yes	characteristic, complemented
97	#14582789	C₂²	1	1	yes	characteristic, complemented
98	#14582788	C₂²	1	1	yes	characteristic, complemented
99	#14582788	C₂²	1	1	yes	characteristic, complemented
100	#14582787	C₂²	1	1	yes	characteristic, complemented
101	#14582787	C₂²	1	1	yes	characteristic, complemented
102	#14582786	C₂²	1	1	yes	characteristic, complemented
103	#14582786	C₂²	1	1	yes	characteristic, complemented
104	#14582785	C₂²	1	1	yes	characteristic, complemented
105	#14582785	C₂²	1	1	yes	characteristic, complemented
106	#14582784	C₂²	1	1	yes	characteristic, complemented
107	#14582784	C₂²	1	1	yes	characteristic, complemented
108	#14582783	C₂²	1	1	yes	characteristic, complemented
109	#14582783	C₂²	1	1	yes	characteristic, complemented
110	#14582782	C₂²	1	1	yes	characteristic, complemented
111	#14582782	C₂²	1	1	yes	characteristic, complemented
112	#14582781	C₂²	1	1	yes	characteristic, complemented
113	#14582781	C₂²	1	1	yes	characteristic, complemented
114	#14582780	C₂²	1	1	yes	characteristic, complemented
115	#14582780	C₂²	1	1	yes	characteristic, complemented
116	#14582779	C₂²	1	1	yes	characteristic
117	#14582778	C₂²	1	1	yes	characteristic
118	#14582777	C₂²	1	1	yes	characteristic
119	#14582777	C₂²	1	1	yes	characteristic
120	#14582776	C₂²	1	1	yes	characteristic
121	#14582775	C₂²	1	1	yes	characteristic
122	#14582775	C₂²	1	1	yes	characteristic
123	#14582774	C₂²	1	1	yes	characteristic, complemented
124	#14582774	C₂²	1	1	yes	characteristic, complemented
125	#14582773	C₂²	1	1	yes	characteristic, complemented
126	#14582773	C₂²	1	1	yes	characteristic, complemented
127	#14582773	C₂²	1	1	yes	characteristic, complemented
128	#14582773	C₂²	1	1	yes	characteristic, complemented
129	#14582772	C₂²	1	1	yes	characteristic, complemented
130	#14582772	C₂²	1	1	yes	characteristic, complemented
131	#14582771	C₂²	1	1	yes	characteristic, complemented
132	#14582771	C₂²	1	1	yes	characteristic, complemented
133	#14582770	C₂²	1	1	yes	characteristic, complemented
134	#14582770	C₂²	1	1	yes	characteristic, complemented
135	#14582770	C₂²	1	1	yes	characteristic, complemented
136	#14582770	C₂²	1	1	yes	characteristic, complemented
137	C₄⋊C₄×Dic₄₃	C₂²	1	1	yes	characteristic, complemented
138	C₄⋊C₄×Dic₄₃	C₂²	1	1	yes	characteristic, complemented
139	C₄×Dic₄₃⋊C₄	C₂²	1	1	yes	characteristic, complemented
140	C₄×Dic₄₃⋊C₄	C₂²	1	1	yes	characteristic, complemented
141	C₄×C₄⋊Dic₄₃	C₂²	1	1	yes	characteristic, complemented
142	#14582750	C₂²	1	1	yes	characteristic, complemented
143	#14582750	C₂²	1	1	yes	characteristic, complemented
144	C₂²⋊C₄×Dic₄₃	C₂²	1	1	yes	characteristic, complemented
145	C₂²⋊C₄×Dic₄₃	C₂²	1	1	yes	characteristic, complemented
146	C₂²⋊C₄×Dic₄₃	C₂²	1	1	yes	characteristic, complemented
147	C₂²⋊C₄×Dic₄₃	C₂²	1	1	yes	characteristic, complemented
148	C₄×(C₂×D₄₃)⋊C₄	C₂²	1	1	yes	characteristic, complemented
149	C₄×(C₂×D₄₃)⋊C₄	C₂²	1	1	yes	characteristic, complemented
150	C₄×(C₂×D₄₃)⋊C₄	C₂²	1	1	yes	characteristic, complemented
151	C₄×(C₂×D₄₃)⋊C₄	C₂²	1	1	yes	characteristic, complemented
152	C₄×C₂²⋊Dic₄₃	C₂²	1	1	yes	characteristic, complemented
153	C₄×C₂²⋊Dic₄₃	C₂²	1	1	yes	characteristic, complemented
154	#14582746	C₂²	1	1	yes	characteristic, complemented
155	#14582746	C₂²	1	1	yes	characteristic, complemented
156	#14582746	C₂²	1	1	yes	characteristic, complemented
157	#14582746	C₂²	1	1	yes	characteristic, complemented
158	C₂×C₄₃⋊#95	C₂²	1	1	yes	characteristic, complemented
159	C₂×C₄₃⋊#95	C₂²	1	1	yes	characteristic, complemented
160	C₂×C₄₃⋊#95	C₂²	1	1	yes	characteristic, complemented
161	#95×D₄₃	C₂²	1	1	yes	characteristic
162	#95×D₄₃	C₂²	1	1	yes	characteristic
163	#95×D₄₃	C₂²	1	1	yes	characteristic
164	#95×D₄₃	C₂²	1	1	yes	characteristic
165	#95×D₄₃	C₂²	1	1	yes	characteristic
166	#95×D₄₃	C₂²	1	1	yes	characteristic
167	#95×D₄₃	C₂²	1	1	yes	characteristic
168	#95×D₄₃	C₂²	1	1	yes	characteristic
169	#95×D₄₃	C₂²	1	1	yes	characteristic
170	#95×D₄₃	C₂²	1	1	yes	characteristic
171	#95×D₄₃	C₂²	1	1	yes	characteristic, complemented
172	#95×D₄₃	C₂²	1	1	yes	characteristic, complemented
173	#95×D₄₃	C₂²	1	1	yes	characteristic, complemented
174	#95×D₄₃	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	—	2	4	no	—
205	C₂²×C₄×D₄₃	—	2	4	no	—
206	C₂²×C₄×D₄₃	—	2	4	no	—
207	C₂²×C₄×D₄₃	—	2	4	no	—
208	C₂²×C₄×D₄₃	—	2	4	no	—
209	C₂²×C₄×D₄₃	—	2	4	no	—
210	C₂²×C₄×D₄₃	—	4	2	no	—
211	C₂²×C₄×D₄₃	—	4	2	no	—
212	C₂²×C₄×D₄₃	—	4	2	no	—
213	C₂²×C₄×D₄₃	C₂×C₄	1	8	yes	complemented
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	C₂²×C₄×D₄₃	C₂³	1	1	yes	characteristic
219	C₂²×C₄×D₄₃	C₂³	1	1	yes	characteristic
220	C₂²×C₄×D₄₃	C₂³	1	1	yes	characteristic
221	C₂²×C₄×D₄₃	C₂³	1	1	yes	characteristic
222	C₂²×C₄×D₄₃	C₂³	1	1	yes	characteristic
223	C₂²×C₄×D₄₃	C₂³	1	1	yes	characteristic
224	C₂²×C₄×D₄₃	C₂³	1	1	yes	characteristic
225	C₂²×C₄×D₄₃	C₂³	1	1	yes	characteristic
226	C₂²×C₄×D₄₃	C₂³	1	1	yes	characteristic
227	C₂²×C₄×D₄₃	C₂³	1	1	yes	characteristic
228	C₂²×C₄×D₄₃	C₂³	1	1	yes	characteristic
229	C₂²×C₄×D₄₃	C₂³	1	1	yes	characteristic
230	C₂²×C₄×D₄₃	C₂³	1	1	yes	characteristic
231	C₂²×C₄×D₄₃	C₂³	1	1	yes	characteristic
232	C₂²×C₄×D₄₃	C₂³	1	1	yes	characteristic
233	C₂²×C₄×D₄₃	C₂³	1	1	yes	characteristic
234	C₂²×C₄×D₄₃	C₂³	1	1	yes	characteristic
235	#13063310	C₂×C₄	1	8	yes	complemented
236	#13063310	C₂×C₄	1	8	yes	complemented
237	#13063309	C₂×C₄	1	8	yes	complemented
238	#13063308	C₂×C₄	1	8	yes	complemented
239	#13063307	C₂×C₄	1	8	yes	complemented
240	#13063307	C₂×C₄	1	8	yes	complemented
241	#13063306	C₂×C₄	1	8	yes	complemented
242	C₄×D₁₇₂	—	2	4	no	—
243	D₄×Dic₄₃	—	2	4	no	—
244	#13063287	—	2	4	no	—
245	C₄×C₂²⋊D₄₃	—	2	4	no	—
246	C₄×C₂²⋊D₄₃	—	2	4	no	—
247	(C₂²⋊D₄₃)⋊C₄	—	2	4	no	—
248	(C₂²⋊D₄₃)⋊C₄	—	2	4	no	—
249	#13063284	—	2	4	no	—
250	#13063283	—	2	4	no	—
251	#13063283	—	2	4	no	—
252	#13063282	—	2	4	no	—
253	#13063282	—	2	4	no	—
254	#13063281	—	2	4	no	—
255	#13063281	—	2	4	no	—
256	C₂×C₄⋊Dic₄₃	C₂³	1	1	yes	characteristic
257	C₂×C₄⋊Dic₄₃	C₂³	1	1	yes	characteristic
258	C₂×C₄⋊Dic₄₃	C₂³	1	1	yes	characteristic
259	C₂×C₄⋊Dic₄₃	C₂³	1	1	yes	characteristic
260	C₂×C₄⋊Dic₄₃	C₂³	1	1	yes	characteristic
261	C₂×C₄⋊Dic₄₃	C₂³	1	1	yes	characteristic
262	C₂×C₄⋊Dic₄₃	C₂³	1	1	yes	characteristic
263	C₂×Dic₄₃⋊C₄	C₂³	1	1	yes	characteristic
264	C₂×Dic₄₃⋊C₄	C₂³	1	1	yes	characteristic
265	C₂×Dic₄₃⋊C₄	C₂³	1	1	yes	characteristic
266	C₂×Dic₄₃⋊C₄	C₂³	1	1	yes	characteristic
267	C₂×Dic₄₃⋊C₄	C₂³	1	1	yes	characteristic
268	C₂×Dic₄₃⋊C₄	C₂³	1	1	yes	characteristic
269	C₂×Dic₄₃⋊C₄	C₂³	1	1	yes	characteristic
270	C₂×Dic₄₃⋊C₄	C₂³	1	1	yes	characteristic
271	C₂×Dic₄₃⋊C₄	C₂³	1	1	yes	characteristic
272	C₂×Dic₄₃⋊C₄	C₂³	1	1	yes	characteristic
273	C₂×Dic₄₃⋊C₄	C₂³	1	1	yes	characteristic
274	C₂×Dic₄₃⋊C₄	C₂³	1	1	yes	characteristic
275	C₂×Dic₄₃⋊C₄	C₂³	1	1	yes	characteristic
276	C₂×Dic₄₃⋊C₄	C₂³	1	1	yes	characteristic
277	C₄⋊C₄×D₄₃	—	2	4	no	—
278	C₄⋊C₄×D₄₃	—	2	4	no	—
279	C₄⋊C₄×D₄₃	—	2	4	no	—
280	C₄⋊C₄×D₄₃	—	2	4	no	—
281	C₄⋊C₄×D₄₃	—	4	2	no	—
282	C₄⋊C₄×D₄₃	C₂×C₄	1	8	yes	complemented
283	C₄⋊C₄×D₄₃	C₂×C₄	1	8	yes	complemented
284	C₂×C₂²⋊Dic₄₃	C₂³	1	1	yes	characteristic
285	C₂×C₂²⋊Dic₄₃	C₂³	1	1	yes	characteristic
286	C₂×C₂²⋊Dic₄₃	C₂³	1	1	yes	characteristic
287	C₂×C₂²⋊Dic₄₃	C₂³	1	1	yes	characteristic
288	C₂×C₂²⋊Dic₄₃	C₂³	1	1	yes	characteristic
289	C₂×C₂²⋊Dic₄₃	C₂³	1	1	yes	characteristic
290	C₂×C₂²⋊Dic₄₃	C₂³	1	1	yes	characteristic
291	C₂×C₂²⋊Dic₄₃	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	C₂×(C₂×D₄₃)⋊C₄	C₂³	1	1	yes	characteristic
302	C₂×(C₂×D₄₃)⋊C₄	C₂³	1	1	yes	characteristic
303	C₂×(C₂×D₄₃)⋊C₄	C₂³	1	1	yes	characteristic
304	C₂×(C₂×D₄₃)⋊C₄	C₂³	1	1	yes	characteristic
305	C₂×(C₂×D₄₃)⋊C₄	C₂³	1	1	yes	characteristic
306	C₂×(C₂×D₄₃)⋊C₄	C₂³	1	1	yes	characteristic
307	C₂×(C₂×D₄₃)⋊C₄	C₂³	1	1	yes	characteristic
308	C₂²⋊C₄×D₄₃	—	2	4	no	—
309	C₂²⋊C₄×D₄₃	—	2	4	no	—
310	C₂²⋊C₄×D₄₃	—	2	4	no	—
311	C₂²⋊C₄×D₄₃	—	4	2	no	—
312	C₂²⋊C₄×D₄₃	C₂×C₄	1	8	yes	complemented
313	C₂²⋊C₄×D₄₃	C₂×C₄	1	8	yes	complemented
314	C₂²⋊C₄×D₄₃	C₂×C₄	1	8	yes	complemented
315	C₂²⋊C₄×D₄₃	D₄	1	8	yes	—
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	C₂×C₄×Dic₄₃	C₂³	1	1	yes	characteristic
323	C₂×C₄×Dic₄₃	C₂³	1	1	yes	characteristic
324	C₂×C₄×Dic₄₃	C₂³	1	1	yes	characteristic
325	C₂×C₄×Dic₄₃	C₂³	1	1	yes	characteristic
326	C₂×C₄×Dic₄₃	C₂³	1	1	yes	characteristic
327	C₂×C₄×Dic₄₃	C₂³	1	1	yes	characteristic
328	C₂×C₄×Dic₄₃	C₂³	1	1	yes	characteristic
329	C₂×C₄×Dic₄₃	C₂³	1	1	yes	characteristic
330	C₂×C₄×Dic₄₃	C₂³	1	1	yes	characteristic
331	C₄²×D₄₃	—	2	4	no	—
332	C₄²×D₄₃	—	2	4	no	—
333	C₄²×D₄₃	—	2	4	no	—
334	C₄²×D₄₃	—	2	4	no	—
335	C₄²×D₄₃	—	4	2	no	—
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	C₄₃⋊#95	C₂³	1	1	yes	characteristic
355	C₄₃⋊#95	C₂³	1	1	yes	characteristic
356	C₄₃⋊#95	C₂³	1	1	yes	characteristic
357	C₄₃⋊#95	C₂³	1	1	yes	characteristic
358	C₄₃⋊#95	C₂³	1	1	yes	characteristic
359	C₄₃⋊#95	C₂³	1	1	yes	characteristic
360	C₄₃⋊#95	C₂³	1	1	yes	characteristic
361	C₄₃⋊#95	C₂³	1	1	yes	characteristic
362	C₄₃⋊#95	C₂³	1	1	yes	characteristic
363	C₄₃⋊#95	C₂³	1	1	yes	characteristic
364	C₄₃⋊#95	C₂³	1	1	yes	characteristic
365	C₄₃⋊#95	C₂³	1	1	yes	characteristic
366	C₂²×D₄×C₄₃	C₂³	1	1	yes	characteristic
367	C₂³×C₄×C₄₃	C₂³	1	1	yes	characteristic
368	C₂³×C₄×C₄₃	C₂³	1	1	yes	characteristic
369	C₂³×C₄×C₄₃	C₂³	1	1	yes	characteristic
370	C₂³×C₄×C₄₃	C₂³	1	1	yes	characteristic
371	#123×C₄₃	C₂×C₄	1	8	yes	complemented
372	C₄×D₄×C₄₃	—	2	4	no	—
373	#117×C₄₃	—	2	4	no	—
374	C₂×C₄⋊C₄×C₄₃	C₂³	1	1	yes	characteristic
375	C₂×C₄⋊C₄×C₄₃	C₂³	1	1	yes	characteristic
376	C₂×C₄⋊C₄×C₄₃	C₂³	1	1	yes	characteristic
377	C₂×C₄⋊C₄×C₄₃	C₂³	1	1	yes	characteristic
378	C₂×C₄⋊C₄×C₄₃	C₂³	1	1	yes	characteristic
379	C₂×C₄⋊C₄×C₄₃	C₂³	1	1	yes	characteristic
380	C₂×C₄⋊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×C₂²⋊C₄×C₄₃	C₂³	1	1	yes	characteristic
384	C₂×C₂²⋊C₄×C₄₃	C₂³	1	1	yes	characteristic
385	C₂×C₂²⋊C₄×C₄₃	C₂³	1	1	yes	characteristic
386	C₂×C₂²⋊C₄×C₄₃	C₂³	1	1	yes	characteristic
387	C₂×C₂²⋊C₄×C₄₃	C₂³	1	1	yes	characteristic
388	C₂×C₂²⋊C₄×C₄₃	C₂³	1	1	yes	characteristic
389	C₂×C₄²×C₄₃	C₂³	1	1	yes	characteristic
390	C₂×C₄²×C₄₃	C₂³	1	1	yes	characteristic
391	C₂×C₄²×C₄₃	C₂³	1	1	yes	characteristic
392	C₂×C₄²×C₄₃	C₂³	1	1	yes	characteristic
393	C₂×C₄²×C₄₃	C₂³	1	1	yes	characteristic
394	#95×C₄₃	C₂³	1	1	yes	characteristic
395	#95×C₄₃	C₂³	1	1	yes	characteristic
396	#95×C₄₃	C₂³	1	1	yes	characteristic
397	#95×C₄₃	C₂³	1	1	yes	characteristic
398	#95×C₄₃	C₂³	1	1	yes	characteristic
399	#95×C₄₃	C₂³	1	1	yes	characteristic
400	#95×C₄₃	C₂³	1	1	yes	characteristic
401	#95×C₄₃	C₂³	1	1	yes	characteristic
402	#95×C₄₃	C₂³	1	1	yes	characteristic
403	#95×C₄₃	C₂³	1	1	yes	characteristic
404	C₂⁴×C₄₃	C₂⁴	1	1	yes	characteristic
405	C₂⁴×C₄₃	C₂⁴	1	1	yes	characteristic
406	C₂³×D₄₃	—	2	2	no	—
407	C₂³×D₄₃	—	2	2	no	—
408	C₂³×D₄₃	—	2	2	no	—
409	C₂³×D₄₃	—	2	2	no	—
410	C₂³×D₄₃	—	2	2	no	—
411	C₂³×D₄₃	—	2	2	no	—
412	C₂³×D₄₃	—	2	2	no	—
413	C₂³×D₄₃	—	2	2	no	—
414	C₂³×D₄₃	—	2	2	no	—
415	C₂³×D₄₃	—	2	2	no	—
416	C₂³×D₄₃	C₂²×C₄	1	4	yes	—
417	C₂³×D₄₃	C₂²×C₄	1	4	yes	—
418	C₂³×D₄₃	C₂×D₄	1	4	yes	—
419	C₂³×D₄₃	#41	1	4	yes	—
420	C₂³×D₄₃	C₂⁴	1	1	yes	characteristic
421	C₂³×D₄₃	C₂⁴	1	1	yes	characteristic
422	C₂³×D₄₃	C₂⁴	1	1	yes	characteristic
423	C₂×D₄×C₄₃	—	2	2	no	—
424	C₂×D₄×C₄₃	—	2	2	no	—
425	C₂×D₄×C₄₃	C₂²×C₄	1	4	yes	—
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	C₂²×C₄	1	4	yes	complemented
438	C₂²×C₄×C₄₃	C₂⁴	1	1	yes	characteristic
439	C₂²×C₄×C₄₃	C₂⁴	1	1	yes	characteristic
440	C₂²×C₄×C₄₃	C₂⁴	1	1	yes	characteristic
441	C₂²×C₄×C₄₃	C₂⁴	1	1	yes	characteristic
442	C₂²×C₄×C₄₃	C₂⁴	1	1	yes	characteristic
443	C₂²×C₄×C₄₃	C₂⁴	1	1	yes	characteristic
444	C₂²×C₄×C₄₃	C₂⁴	1	1	yes	characteristic
445	C₂²×C₄×C₄₃	C₂⁴	1	1	yes	characteristic
446	C₂²×C₄×C₄₃	C₂⁴	1	1	yes	characteristic
447	C₂²×C₄×C₄₃	C₂⁴	1	1	yes	characteristic
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	C₂×C₂²⋊D₄₃	—	2	2	no	—
452	C₂×C₂²⋊D₄₃	—	2	2	no	—
453	C₂×C₂²⋊D₄₃	—	2	2	no	—
454	C₂×C₂²⋊D₄₃	—	2	2	no	—
455	C₂×C₂²⋊D₄₃	C₂²×C₄	1	4	yes	—
456	C₂×C₂²⋊D₄₃	C₂²×C₄	1	4	yes	—
457	C₂²×Dic₄₃	—	2	2	no	—
458	C₂²×Dic₄₃	—	2	2	no	—
459	C₂²×Dic₄₃	—	2	2	no	—
460	C₂²×Dic₄₃	—	2	2	no	—
461	C₂²×Dic₄₃	—	2	2	no	—
462	C₂²×Dic₄₃	—	2	2	no	—
463	C₂²×Dic₄₃	—	2	2	no	—
464	C₂²×Dic₄₃	—	2	2	no	—
465	C₂²×Dic₄₃	—	4	1	no	—
466	C₂²×Dic₄₃	—	4	1	no	—
467	C₂²×Dic₄₃	—	4	1	no	—
468	C₂²×Dic₄₃	C₂²×C₄	1	4	yes	complemented
469	C₂²×Dic₄₃	C₂⁴	1	1	yes	characteristic
470	C₂²×Dic₄₃	C₂⁴	1	1	yes	characteristic
471	C₂²×Dic₄₃	C₂⁴	1	1	yes	characteristic
472	C₂²×Dic₄₃	C₂⁴	1	1	yes	characteristic
473	C₂²×Dic₄₃	C₂⁴	1	1	yes	characteristic
474	C₂²×Dic₄₃	C₂⁴	1	1	yes	characteristic
475	C₂²×Dic₄₃	C₂⁴	1	1	yes	characteristic
476	C₂²×Dic₄₃	C₂⁴	1	1	yes	characteristic
477	C₂²×Dic₄₃	C₂⁴	1	1	yes	characteristic
478	C₂²×Dic₄₃	C₂⁴	1	1	yes	characteristic
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	D₄×D₄₃	—	2	32	no	—
483	C₂×D₁₇₂	—	2	2	no	—
484	C₂×D₁₇₂	—	2	2	no	—
485	C₂×D₁₇₂	C₂²×C₄	1	4	yes	—
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	—	2	2	no	—
490	C₂×C₄×D₄₃	—	2	2	no	—
491	C₂×C₄×D₄₃	—	2	2	no	—
492	C₂×C₄×D₄₃	—	2	2	no	—
493	C₂×C₄×D₄₃	—	2	2	no	—
494	C₂×C₄×D₄₃	—	2	32	no	—
495	C₂×C₄×D₄₃	—	2	2	no	—
496	C₂×C₄×D₄₃	—	2	2	no	—
497	C₂×C₄×D₄₃	—	2	2	no	—
498	C₂×C₄×D₄₃	—	2	2	no	—
499	C₂×C₄×D₄₃	—	2	2	no	—
500	C₂×C₄×D₄₃	—	2	2	no	—
501	C₂×C₄×D₄₃	—	2	2	no	—
502	C₂×C₄×D₄₃	—	2	2	no	—
503	C₂×C₄×D₄₃	—	2	2	no	—
504	C₂×C₄×D₄₃	—	2	2	no	—
505	C₂×C₄×D₄₃	—	2	2	no	—
506	C₂×C₄×D₄₃	—	2	2	no	—
507	C₂×C₄×D₄₃	—	2	2	no	—
508	C₂×C₄×D₄₃	—	2	2	no	—
509	C₂×C₄×D₄₃	—	2	2	no	—
510	C₂×C₄×D₄₃	—	2	2	no	—
511	C₂×C₄×D₄₃	—	2	2	no	—
512	C₂×C₄×D₄₃	—	2	2	no	—
513	C₂×C₄×D₄₃	—	2	2	no	—
514	C₂×C₄×D₄₃	—	2	2	no	—
515	C₂×C₄×D₄₃	—	2	2	no	—
516	C₂×C₄×D₄₃	—	2	2	no	—
517	C₂×C₄×D₄₃	—	2	2	no	—
518	C₂×C₄×D₄₃	—	2	2	no	—
519	C₂×C₄×D₄₃	—	2	2	no	—
520	C₂×C₄×D₄₃	—	2	2	no	—
521	C₂×C₄×D₄₃	—	2	2	no	—
522	C₂×C₄×D₄₃	—	2	2	no	—
523	C₂×C₄×D₄₃	—	2	2	no	—
524	C₂×C₄×D₄₃	—	2	2	no	—
525	C₂×C₄×D₄₃	—	2	2	no	—
526	C₂×C₄×D₄₃	—	2	2	no	—
527	C₂×C₄×D₄₃	—	2	2	no	—
528	C₂×C₄×D₄₃	—	2	2	no	—
529	C₂×C₄×D₄₃	—	2	2	no	—
530	C₂×C₄×D₄₃	—	2	2	no	—
531	C₂×C₄×D₄₃	—	2	2	no	—
532	C₂×C₄×D₄₃	—	2	2	no	—
533	C₂×C₄×D₄₃	—	4	16	no	—
534	C₂×C₄×D₄₃	—	4	16	no	—
535	C₂×C₄×D₄₃	—	4	1	no	—
536	C₂×C₄×D₄₃	—	4	1	no	—
537	C₂×C₄×D₄₃	—	4	1	no	—
538	C₂×C₄×D₄₃	—	4	1	no	—
539	C₂×C₄×D₄₃	—	4	1	no	—
540	C₂×C₄×D₄₃	—	4	1	no	—
541	C₂×C₄×D₄₃	—	4	16	no	—
542	C₂×C₄×D₄₃	C₂²×C₄	1	4	yes	—
543	C₂×C₄×D₄₃	C₂²×C₄	1	4	yes	—
544	C₂×C₄×D₄₃	C₂²×C₄	1	4	yes	—
545	C₂×C₄×D₄₃	C₂²×C₄	1	4	yes	—
546	C₂×C₄×D₄₃	C₂²×C₄	1	4	yes	—
547	C₂×C₄×D₄₃	C₂²×C₄	1	4	yes	complemented
548	C₂×C₄×D₄₃	C₂²×C₄	1	4	yes	complemented
549	C₂×C₄×D₄₃	C₂×D₄	1	4	yes	—
550	C₂×C₄×D₄₃	C₂×D₄	1	4	yes	—
551	C₂×C₄×D₄₃	#41	1	4	yes	—
552	C₂×C₄×D₄₃	#41	1	4	yes	—
553	C₄⋊C₄×C₄₃	—	2	2	no	—
554	C₄⋊C₄×C₄₃	—	2	2	no	—
555	C₄⋊C₄×C₄₃	—	2	2	no	—
556	C₄⋊C₄×C₄₃	—	2	2	no	—
557	C₄⋊C₄×C₄₃	—	4	1	no	—
558	C₄⋊C₄×C₄₃	C₂²×C₄	1	4	yes	complemented
559	C₄⋊C₄×C₄₃	C₂²×C₄	1	4	yes	complemented
560	C₂²⋊C₄×C₄₃	—	2	2	no	—
561	C₂²⋊C₄×C₄₃	—	2	2	no	—
562	C₂²⋊C₄×C₄₃	—	2	2	no	—
563	C₂²⋊C₄×C₄₃	—	4	1	no	—
564	C₂²⋊C₄×C₄₃	C₂²×C₄	1	4	yes	complemented
565	C₂²⋊C₄×C₄₃	C₂²×C₄	1	4	yes	complemented
566	C₂²⋊C₄×C₄₃	C₂²×C₄	1	4	yes	complemented
567	C₂²⋊C₄×C₄₃	C₂×D₄	1	4	yes	—
568	C₄²×C₄₃	—	2	2	no	—
569	C₄²×C₄₃	—	2	2	no	—
570	C₄²×C₄₃	—	2	2	no	—
571	C₄²×C₄₃	—	2	2	no	—
572	C₄²×C₄₃	—	4	1	no	—
573	C₂²⋊Dic₄₃	—	2	2	no	—
574	C₂²⋊Dic₄₃	—	2	2	no	—
575	C₂²⋊Dic₄₃	—	2	2	no	—
576	C₂²⋊Dic₄₃	—	4	1	no	—
577	C₂²⋊Dic₄₃	C₂²×C₄	1	4	yes	complemented
578	C₂²⋊Dic₄₃	C₂²×C₄	1	4	yes	complemented
579	C₂²⋊Dic₄₃	C₂²×C₄	1	4	yes	complemented
580	C₂²⋊Dic₄₃	C₂×D₄	1	4	yes	—
581	(C₂×D₄₃)⋊C₄	—	2	2	no	—
582	(C₂×D₄₃)⋊C₄	—	2	2	no	—
583	(C₂×D₄₃)⋊C₄	—	2	2	no	—
584	(C₂×D₄₃)⋊C₄	—	2	2	no	—
585	(C₂×D₄₃)⋊C₄	—	2	2	no	—
586	(C₂×D₄₃)⋊C₄	—	2	2	no	—
587	(C₂×D₄₃)⋊C₄	—	4	1	no	—
588	(C₂×D₄₃)⋊C₄	—	4	1	no	—
589	(C₂×D₄₃)⋊C₄	C₂²×C₄	1	4	yes	complemented
590	(C₂×D₄₃)⋊C₄	C₂²×C₄	1	4	yes	complemented
591	(C₂×D₄₃)⋊C₄	C₂²×C₄	1	4	yes	complemented
592	(C₂×D₄₃)⋊C₄	C₂²×C₄	1	4	yes	complemented
593	(C₂×D₄₃)⋊C₄	C₂²×C₄	1	4	yes	complemented
594	(C₂×D₄₃)⋊C₄	C₂²×C₄	1	4	yes	complemented
595	(C₂×D₄₃)⋊C₄	C₂×D₄	1	4	yes	—
596	(C₂×D₄₃)⋊C₄	C₂×D₄	1	4	yes	—
597	C₄⋊Dic₄₃	—	2	2	no	—
598	C₄⋊Dic₄₃	—	2	2	no	—
599	C₄⋊Dic₄₃	—	2	2	no	—
600	C₄⋊Dic₄₃	—	2	2	no	—
601	C₄⋊Dic₄₃	—	4	1	no	—
602	C₄⋊Dic₄₃	C₂²×C₄	1	4	yes	complemented
603	C₄⋊Dic₄₃	C₂²×C₄	1	4	yes	complemented
604	Dic₄₃⋊C₄	—	2	2	no	—
605	Dic₄₃⋊C₄	—	2	2	no	—
606	Dic₄₃⋊C₄	—	2	2	no	—
607	Dic₄₃⋊C₄	—	2	2	no	—
608	Dic₄₃⋊C₄	—	2	2	no	—
609	Dic₄₃⋊C₄	—	2	2	no	—
610	Dic₄₃⋊C₄	—	2	2	no	—
611	Dic₄₃⋊C₄	—	2	2	no	—
612	Dic₄₃⋊C₄	—	4	1	no	—
613	Dic₄₃⋊C₄	—	4	1	no	—
614	Dic₄₃⋊C₄	C₂²×C₄	1	4	yes	complemented
615	Dic₄₃⋊C₄	C₂²×C₄	1	4	yes	complemented
616	Dic₄₃⋊C₄	C₂²×C₄	1	4	yes	complemented
617	Dic₄₃⋊C₄	C₂²×C₄	1	4	yes	complemented
618	C₄×Dic₄₃	—	2	2	no	—
619	C₄×Dic₄₃	—	2	2	no	—
620	C₄×Dic₄₃	—	2	2	no	—
621	C₄×Dic₄₃	—	2	2	no	—
622	C₄×Dic₄₃	—	2	2	no	—
623	C₄×Dic₄₃	—	2	2	no	—
624	C₄×Dic₄₃	—	2	2	no	—
625	C₄×Dic₄₃	—	2	2	no	—
626	C₄×Dic₄₃	—	2	2	no	—
627	C₄×Dic₄₃	—	2	2	no	—
628	C₄×Dic₄₃	—	2	2	no	—
629	C₄×Dic₄₃	—	2	2	no	—
630	C₄×Dic₄₃	—	4	1	no	—
631	C₄×Dic₄₃	—	4	1	no	—
632	C₄×Dic₄₃	—	4	1	no	—
633	C₂³×C₄₃	—	2	1	no	—
634	C₂³×C₄₃	—	2	1	no	—
635	C₂³×C₄₃	—	2	1	no	—
636	C₂³×C₄₃	—	2	1	no	—
637	C₂³×C₄₃	—	2	1	no	—
638	C₂³×C₄₃	—	2	1	no	—
639	C₂³×C₄₃	—	2	1	no	—
640	C₂³×C₄₃	—	2	1	no	—
641	C₂³×C₄₃	—	2	1	no	—
642	C₂³×C₄₃	—	2	1	no	—
643	C₂³×C₄₃	C₂³×C₄	1	2	yes	—
644	C₂³×C₄₃	C₂³×C₄	1	2	yes	—
645	C₂³×C₄₃	C₂²×D₄	1	2	yes	—
646	C₂³×C₄₃	C₂×#41	1	2	yes	—
647	C₂³×C₄₃	C₂⁵	1	1	yes	characteristic
648	C₂²×D₄₃	—	2	1	no	—
649	C₂²×D₄₃	—	2	1	no	—
650	C₂²×D₄₃	—	2	1	no	—
651	C₂²×D₄₃	—	2	1	no	—
652	C₂²×D₄₃	—	2	8	no	—
653	C₂²×D₄₃	—	2	8	no	—
654	C₂²×D₄₃	—	2	8	no	—
655	C₂²×D₄₃	—	2	8	no	—
656	C₂²×D₄₃	—	2	8	no	—
657	C₂²×D₄₃	—	2	8	no	—
658	C₂²×D₄₃	—	2	1	no	—
659	C₂²×D₄₃	—	2	1	no	—
660	C₂²×D₄₃	—	2	1	no	—
661	C₂²×D₄₃	—	2	1	no	—
662	C₂²×D₄₃	—	2	1	no	—
663	C₂²×D₄₃	—	2	1	no	—
664	C₂²×D₄₃	—	2	8	no	—
665	C₂²×D₄₃	—	2	8	no	—
666	C₂²×D₄₃	—	2	8	no	—
667	C₂²×D₄₃	—	4	4	no	—
668	C₂²×D₄₃	—	4	4	no	—
669	C₂²×D₄₃	—	4	4	no	—
670	C₂²×D₄₃	—	4	4	no	—
671	C₂²×D₄₃	C₄×D₄	1	16	yes	—
672	C₂²×D₄₃	C₂³×C₄	1	2	yes	—
673	C₂²×D₄₃	C₂³×C₄	1	2	yes	—
674	C₂²×D₄₃	C₂³×C₄	1	2	yes	—
675	C₂²×D₄₃	C₂²×D₄	1	2	yes	—
676	C₂²×D₄₃	C₂²×D₄	1	2	yes	—
677	C₂²×D₄₃	C₂×#41	1	2	yes	—
678	C₂²×D₄₃	C₂×#41	1	2	yes	—
679	C₂²×D₄₃	C₂×#41	1	2	yes	—
680	C₂²×D₄₃	C₂×#41	1	2	yes	—
681	C₂²×D₄₃	H(5,𝔽₂)	1	2	yes	—
682	C₂²×D₄₃	2₋¹⁺⁴	1	2	yes	—
683	D₄×C₄₃	—	2	8	no	—
684	C₂×C₄×C₄₃	—	2	8	no	—
685	C₂×C₄×C₄₃	—	2	1	no	—
686	C₂×C₄×C₄₃	—	2	1	no	—
687	C₂×C₄×C₄₃	—	2	1	no	—
688	C₂×C₄×C₄₃	—	2	1	no	—
689	C₂×C₄×C₄₃	—	2	1	no	—
690	C₂×C₄×C₄₃	—	2	1	no	—
691	C₂×C₄×C₄₃	—	2	1	no	—
692	C₂×C₄×C₄₃	—	2	1	no	—
693	C₂×C₄×C₄₃	—	2	1	no	—
694	C₂×C₄×C₄₃	—	2	1	no	—
695	C₂×C₄×C₄₃	—	2	1	no	—
696	C₂×C₄×C₄₃	—	2	1	no	—
697	C₂×C₄×C₄₃	—	2	1	no	—
698	C₂×C₄×C₄₃	—	2	1	no	—
699	C₂×C₄×C₄₃	—	2	1	no	—
700	C₂×C₄×C₄₃	—	2	1	no	—
701	C₂×C₄×C₄₃	—	2	1	no	—
702	C₂×C₄×C₄₃	—	2	1	no	—
703	C₂×C₄×C₄₃	—	2	1	no	—
704	C₂×C₄×C₄₃	—	2	1	no	—
705	C₂×C₄×C₄₃	—	2	1	no	—
706	C₂×C₄×C₄₃	—	2	1	no	—
707	C₂×C₄×C₄₃	—	2	1	no	—
708	C₂×C₄×C₄₃	—	2	1	no	—
709	C₂×C₄×C₄₃	—	2	1	no	—
710	C₂×C₄×C₄₃	—	2	1	no	—
711	C₂×C₄×C₄₃	—	2	1	no	—
712	C₂×C₄×C₄₃	—	2	1	no	—
713	C₂×C₄×C₄₃	—	2	1	no	—
714	C₂×C₄×C₄₃	—	2	1	no	—
715	C₂×C₄×C₄₃	—	4	4	no	—
716	C₂×C₄×C₄₃	—	4	4	no	—
717	C₂×C₄×C₄₃	—	4	4	no	—
718	C₂×C₄×C₄₃	C₂³×C₄	1	2	yes	—
719	C₂×C₄×C₄₃	C₂³×C₄	1	2	yes	—
720	C₂×C₄×C₄₃	C₂³×C₄	1	2	yes	—
721	C₂×C₄×C₄₃	C₂³×C₄	1	2	yes	—
722	C₂×C₄×C₄₃	C₂³×C₄	1	2	yes	—
723	C₂×C₄×C₄₃	C₂²×D₄	1	2	yes	—
724	C₂×C₄×C₄₃	C₂²×D₄	1	2	yes	—
725	C₂×C₄×C₄₃	C₂×#41	1	2	yes	—
726	C₂×C₄×C₄₃	C₂×#41	1	2	yes	—
727	C₂²⋊D₄₃	—	2	8	no	—
728	C₂²⋊D₄₃	—	2	8	no	—
729	C₂×Dic₄₃	—	2	8	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	—	2	1	no	—
744	C₂×Dic₄₃	—	2	1	no	—
745	C₂×Dic₄₃	—	2	1	no	—
746	C₂×Dic₄₃	—	2	1	no	—
747	C₂×Dic₄₃	—	2	1	no	—
748	C₂×Dic₄₃	—	2	1	no	—
749	C₂×Dic₄₃	—	2	1	no	—
750	C₂×Dic₄₃	—	2	1	no	—
751	C₂×Dic₄₃	—	2	1	no	—
752	C₂×Dic₄₃	—	2	1	no	—
753	C₂×Dic₄₃	—	2	1	no	—
754	C₂×Dic₄₃	—	2	1	no	—
755	C₂×Dic₄₃	—	2	1	no	—
756	C₂×Dic₄₃	—	2	1	no	—
757	C₂×Dic₄₃	—	2	1	no	—
758	C₂×Dic₄₃	—	2	1	no	—
759	C₂×Dic₄₃	—	2	1	no	—
760	C₂×Dic₄₃	—	4	4	no	—
761	C₂×Dic₄₃	—	4	4	no	—
762	C₂×Dic₄₃	—	4	4	no	—
763	C₂×Dic₄₃	C₂³×C₄	1	2	yes	—
764	C₂×Dic₄₃	C₂³×C₄	1	2	yes	—
765	C₂×Dic₄₃	C₂³×C₄	1	2	yes	—
766	C₂×Dic₄₃	C₂³×C₄	1	2	yes	—
767	C₂×Dic₄₃	C₂³×C₄	1	2	yes	—
768	C₂×Dic₄₃	C₂²×D₄	1	2	yes	—
769	C₂×Dic₄₃	C₂²×D₄	1	2	yes	—
770	C₂×Dic₄₃	C₂×#41	1	2	yes	—
771	C₂×Dic₄₃	C₂×#41	1	2	yes	—
772	D₁₇₂	—	2	8	no	—
773	C₄×D₄₃	—	2	8	no	—
774	C₄×D₄₃	—	2	8	no	—
775	C₄×D₄₃	—	2	8	no	—
776	C₄×D₄₃	—	2	8	no	—
777	C₄×D₄₃	—	2	8	no	—
778	C₄×D₄₃	—	2	8	no	—
779	C₄×D₄₃	—	2	8	no	—
780	C₄×D₄₃	—	2	8	no	—
781	C₄×D₄₃	—	2	8	no	—
782	C₄×D₄₃	—	2	8	no	—
783	C₄×D₄₃	—	2	8	no	—
784	C₄×D₄₃	—	4	4	no	—
785	C₄×D₄₃	—	4	4	no	—
786	C₄×D₄₃	—	4	4	no	—
787	C₄×D₄₃	—	4	4	no	—
788	C₄×D₄₃	—	4	4	no	—
789	C₄×D₄₃	—	4	4	no	—
790	C₄×D₄₃	—	4	4	no	—
791	C₄×D₄₃	—	4	4	no	—
792	C₄×D₄₃	—	4	4	no	—
793	C₄×D₄₃	—	4	4	no	—
794	C₂×#2359	—	43	1	no	maximal, Sylow
795	C₂²×C₄₃	—	2	2	no	—
796	C₂²×C₄₃	—	2	2	no	—
797	C₂²×C₄₃	—	2	2	no	—
798	C₂²×C₄₃	—	2	2	no	—
799	C₂²×C₄₃	—	2	2	no	—
800	C₂²×C₄₃	—	2	2	no	—
801	C₂²×C₄₃	—	2	2	no	—
802	C₂²×C₄₃	—	2	2	no	—
803	C₂²×C₄₃	—	2	2	no	—
804	C₂²×C₄₃	—	4	1	no	—
805	C₂²×C₄₃	—	4	1	no	—
806	C₂²×C₄₃	—	4	1	no	—
807	C₂²×C₄₃	—	4	1	no	—
808	C₂²×C₄₃	C₂×C₄×D₄	1	4	yes	—
809	C₂²×C₄₃	C₂⁴×C₄	1	1	yes	characteristic
810	C₂²×C₄₃	C₂³×D₄	1	1	yes	characteristic
811	C₂²×C₄₃	C₂²×#41	1	1	yes	characteristic
812	C₂²×C₄₃	C₂²×#41	1	1	yes	characteristic
813	C₂²×C₄₃	C₂²×#41	1	1	yes	characteristic
814	C₂²×C₄₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
815	C₂²×C₄₃	C₂×2₋¹⁺⁴	1	1	yes	characteristic
816	C₂×D₄₃	—	2	2	no	—
817	C₂×D₄₃	—	2	2	no	—
818	C₂×D₄₃	—	2	2	no	—
819	C₂×D₄₃	—	2	2	no	—
820	C₂×D₄₃	—	2	2	no	—
821	C₂×D₄₃	—	2	2	no	—
822	C₂×D₄₃	—	2	32	no	—
823	C₂×D₄₃	—	2	2	no	—
824	C₂×D₄₃	—	2	2	no	—
825	C₂×D₄₃	—	2	2	no	—
826	C₂×D₄₃	—	4	1	no	—
827	C₂×D₄₃	—	4	1	no	—
828	C₂×D₄₃	—	4	1	no	—
829	C₂×D₄₃	—	4	1	no	—
830	C₂×D₄₃	—	4	16	no	—
831	C₂×D₄₃	C₂×C₄×D₄	1	4	yes	—
832	C₂×D₄₃	C₂×C₄×D₄	1	4	yes	—
833	C₂×D₄₃	C₄×#41	1	4	yes	—
834	C₂×D₄₃	#520	1	4	yes	—
835	C₂×D₄₃	#546	1	4	yes	—
836	C₂×D₄₃	#547	1	4	yes	—
837	C₂×D₄₃	#551	1	4	yes	—
838	C₂×D₄₃	#552	1	4	yes	—
839	C₄×C₄₃	—	2	2	no	—
840	C₄×C₄₃	—	2	2	no	—
841	C₄×C₄₃	—	2	2	no	—
842	C₄×C₄₃	—	2	2	no	—
843	C₄×C₄₃	—	2	2	no	—
844	C₄×C₄₃	—	2	2	no	—
845	C₄×C₄₃	—	2	2	no	—
846	C₄×C₄₃	—	2	2	no	—
847	C₄×C₄₃	—	2	2	no	—
848	C₄×C₄₃	—	4	1	no	—
849	C₄×C₄₃	—	4	1	no	—
850	C₄×C₄₃	—	4	1	no	—
851	C₄×C₄₃	—	4	1	no	—
852	Dic₄₃	—	2	2	no	—
853	Dic₄₃	—	2	2	no	—
854	Dic₄₃	—	2	2	no	—
855	Dic₄₃	—	2	2	no	—
856	Dic₄₃	—	2	2	no	—
857	Dic₄₃	—	2	2	no	—
858	Dic₄₃	—	2	2	no	—
859	Dic₄₃	—	2	2	no	—
860	Dic₄₃	—	2	2	no	—
861	Dic₄₃	—	4	1	no	—
862	Dic₄₃	—	4	1	no	—
863	Dic₄₃	—	4	1	no	—
864	Dic₄₃	—	4	1	no	—
865	C₂²×#123	—	43	1	no	—
866	C₂²×C₄×D₄	—	43	1	no	—
867	C₂²×#117	—	43	1	no	—
868	#2359	—	43	1	no	—
869	#2359	—	43	1	no	—
870	#2359	—	43	1	no	—
871	#2359	—	43	1	no	—
872	#2359	—	43	1	no	—
873	#2359	—	43	1	no	—
874	#2359	—	43	1	no	—
875	#2359	—	43	1	no	—
876	#2359	—	43	1	no	—
877	#2359	—	43	1	no	—
878	#2359	—	43	1	no	—
879	#2359	—	43	1	no	—
880	#2359	—	43	1	no	—
881	#2359	—	43	1	no	—
882	#2359	—	43	1	no	—
883	#2359	D₄₃	1	1	yes	characteristic, direct product factor
884	C₂×#389	—	43	1	no	—
885	C₂×#388	—	43	1	no	—
886	C₂×#388	—	43	1	no	—
887	C₂×#387	—	43	1	no	—
888	C₂×#387	—	43	1	no	—
889	C₂×#386	—	43	1	no	—
890	C₂×#385	—	43	1	no	—
891	C₂×#385	—	43	1	no	—
892	C₂×C₄×C₄⋊C₄	—	43	1	no	—
893	C₂×C₄×C₂²⋊C₄	—	43	1	no	—
894	C₂×C₄×C₂²⋊C₄	—	43	1	no	—
895	C₂²×#95	—	43	1	no	—
896	C₂×C₄₃	—	2	4	no	—
897	C₂×C₄₃	—	4	2	no	—
898	C₂×C₄₃	C₂²×C₄×D₄	1	1	yes	characteristic
899	C₂×C₄₃	C₂×C₄×#41	1	1	yes	characteristic
900	C₂×C₄₃	C₂×#520	1	1	yes	characteristic
901	C₂×C₄₃	C₂×#546	1	1	yes	characteristic
902	C₂×C₄₃	C₂×#547	1	1	yes	characteristic
903	C₂×C₄₃	C₂×#551	1	1	yes	characteristic
904	C₂×C₄₃	C₂×#552	1	1	yes	characteristic
905	D₄₃	—	2	4	no	—
906	D₄₃	—	4	2	no	—
907	D₄₃	#2359	1	8	yes	direct product factor
908	C₂³×D₄	—	43	1	no	—
909	C₂⁴×C₄	—	43	1	no	—
910	C₂⁴×C₄	—	43	1	no	—
911	C₂⁴×C₄	—	43	1	no	—
912	C₂⁴×C₄	—	43	1	no	—
913	C₂×#123	—	43	1	no	—
914	C₂×#123	—	43	1	no	—
915	C₂×#123	—	43	16	no	—
916	C₂×#123	—	43	1	no	—
917	C₂×#123	—	43	1	no	—
918	C₂×#123	—	43	1	no	—
919	C₂×#123	—	43	1	no	—
920	C₂×#123	—	43	1	no	—
921	C₂×#123	C₂×D₄₃	1	1	yes	characteristic
922	C₂×C₄×D₄	—	43	1	no	—
923	C₂×C₄×D₄	—	43	1	no	—
924	C₂×C₄×D₄	—	43	1	no	—
925	C₂×C₄×D₄	—	43	1	no	—
926	C₂×C₄×D₄	—	43	1	no	—
927	C₂×C₄×D₄	—	43	1	no	—
928	C₂×C₄×D₄	—	43	1	no	—
929	C₂×C₄×D₄	—	86	8	no	—
930	C₂×C₄×D₄	C₂×D₄₃	1	1	yes	characteristic
931	C₂×#117	—	43	1	no	—
932	C₂×#117	—	43	1	no	—
933	C₂×#117	—	43	1	no	—
934	C₂×#117	—	43	1	no	—
935	C₂×#117	—	43	1	no	—
936	C₂×#117	—	43	1	no	—
937	C₂×#117	—	43	1	no	—
938	C₂×#117	—	86	8	no	—
939	C₂×#117	C₂×D₄₃	1	1	yes	characteristic, complemented
940	C₂²×C₄⋊C₄	—	43	1	no	—
941	C₂²×C₄⋊C₄	—	43	1	no	—
942	C₂²×C₄⋊C₄	—	43	1	no	—
943	C₂²×C₄⋊C₄	—	43	1	no	—
944	C₂²×C₄⋊C₄	—	43	1	no	—
945	C₂²×C₄⋊C₄	—	43	1	no	—
946	C₂²×C₄⋊C₄	—	43	1	no	—
947	C₂²×C₂²⋊C₄	—	43	1	no	—
948	C₂²×C₂²⋊C₄	—	43	1	no	—
949	C₂²×C₂²⋊C₄	—	43	1	no	—
950	C₂²×C₂²⋊C₄	—	43	1	no	—
951	C₂²×C₂²⋊C₄	—	43	1	no	—
952	C₂²×C₂²⋊C₄	—	43	1	no	—
953	C₂²×C₂²⋊C₄	—	43	1	no	—
954	C₂²×C₂²⋊C₄	—	43	1	no	—
955	C₂²×C₄²	—	43	1	no	—
956	C₂²×C₄²	—	43	1	no	—
957	C₂²×C₄²	—	43	1	no	—
958	C₂²×C₄²	—	43	1	no	—
959	C₂²×C₄²	—	43	1	no	—
960	#389	—	43	1	no	—
961	#389	—	43	1	no	—
962	#389	—	43	1	no	—
963	#389	—	43	1	no	—
964	#389	—	43	1	no	—
965	#389	—	43	1	no	—
966	#389	—	43	1	no	—
967	#389	C₂×D₄₃	1	1	yes	characteristic, complemented
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	#388	—	43	1	no	—
975	#388	—	43	1	no	—
976	#388	—	43	1	no	—
977	#388	—	43	1	no	—
978	#388	—	43	1	no	—
979	#388	—	43	1	no	—
980	#388	—	43	1	no	—
981	#388	—	43	1	no	—
982	#388	C₂×D₄₃	1	1	yes	characteristic, complemented
983	#388	C₂×D₄₃	1	1	yes	characteristic, complemented
984	#387	—	43	1	no	—
985	#387	—	43	1	no	—
986	#387	—	43	1	no	—
987	#387	—	43	1	no	—
988	#387	—	43	1	no	—
989	#387	—	43	1	no	—
990	#387	—	43	1	no	—
991	#387	—	43	1	no	—
992	#387	—	43	1	no	—
993	#387	—	43	1	no	—
994	#387	—	43	1	no	—
995	#387	—	43	1	no	—
996	#387	—	43	1	no	—
997	#387	—	43	1	no	—
998	#387	C₂×D₄₃	1	1	yes	characteristic, complemented
999	#387	C₂×D₄₃	1	1	yes	characteristic, complemented
1000	#386	—	43	1	no	—
1001	#386	—	43	1	no	—
1002	#386	—	43	1	no	—
1003	#386	—	43	1	no	—
1004	#386	—	43	1	no	—
1005	#386	—	43	1	no	—
1006	#386	—	43	1	no	—
1007	#386	C₂×D₄₃	1	1	yes	characteristic
1008	#385	—	43	1	no	—
1009	#385	—	43	1	no	—
1010	#385	—	43	1	no	—
1011	#385	—	43	1	no	—
1012	#385	—	43	1	no	—
1013	#385	—	43	1	no	—
1014	#385	—	43	1	no	—
1015	#385	—	43	1	no	—
1016	#385	—	43	1	no	—
1017	#385	—	43	1	no	—
1018	#385	—	43	1	no	—
1019	#385	—	43	1	no	—
1020	#385	—	43	1	no	—
1021	#385	—	43	1	no	—
1022	#385	C₂×D₄₃	1	1	yes	characteristic, complemented
1023	#385	C₂×D₄₃	1	1	yes	characteristic, complemented
1024	C₄×C₄⋊C₄	—	43	1	no	—
1025	C₄×C₄⋊C₄	—	43	1	no	—
1026	C₄×C₄⋊C₄	—	43	1	no	—
1027	C₄×C₄⋊C₄	—	43	1	no	—
1028	C₄×C₄⋊C₄	—	43	1	no	—
1029	C₄×C₄⋊C₄	—	43	1	no	—
1030	C₄×C₄⋊C₄	—	43	1	no	—
1031	C₄×C₄⋊C₄	C₂×D₄₃	1	1	yes	characteristic, complemented
1032	C₄×C₂²⋊C₄	—	43	1	no	—
1033	C₄×C₂²⋊C₄	—	43	1	no	—
1034	C₄×C₂²⋊C₄	—	43	1	no	—
1035	C₄×C₂²⋊C₄	—	43	1	no	—
1036	C₄×C₂²⋊C₄	—	43	1	no	—
1037	C₄×C₂²⋊C₄	—	43	1	no	—
1038	C₄×C₂²⋊C₄	—	43	1	no	—
1039	C₄×C₂²⋊C₄	—	43	1	no	—
1040	C₄×C₂²⋊C₄	—	43	1	no	—
1041	C₄×C₂²⋊C₄	—	43	1	no	—
1042	C₄×C₂²⋊C₄	—	43	1	no	—
1043	C₄×C₂²⋊C₄	—	43	1	no	—
1044	C₄×C₂²⋊C₄	—	43	1	no	—
1045	C₄×C₂²⋊C₄	—	43	1	no	—
1046	C₄×C₂²⋊C₄	C₂×D₄₃	1	1	yes	characteristic, complemented
1047	C₄×C₂²⋊C₄	C₂×D₄₃	1	1	yes	characteristic, complemented
1048	C₂×#95	—	43	1	no	—
1049	C₂×#95	—	43	1	no	—
1050	C₂×#95	—	43	1	no	—
1051	C₂×#95	—	43	1	no	—
1052	C₂×#95	—	43	1	no	—
1053	C₂×#95	—	43	1	no	—
1054	C₂×#95	—	43	1	no	—
1055	C₂×#95	—	43	1	no	—
1056	C₂×#95	—	43	1	no	—
1057	C₂×#95	—	43	1	no	—
1058	C₂×#95	—	43	1	no	—
1059	C₂×#95	—	43	1	no	—
1060	C₂×#95	—	43	1	no	—
1061	C₂×#95	—	43	1	no	—
1062	C₂×#95	—	43	1	no	—
1063	C₂×#95	—	43	1	no	—
1064	C₂×#95	—	43	1	no	—
1065	C₂×#95	C₂×D₄₃	1	1	yes	characteristic, complemented
1066	C₄₃	C₂×#2359	1	1	yes	characteristic, complemented, Sylow
1067	C₂⁵	—	43	1	no	—
1068	C₂⁵	—	43	1	no	—
1069	C₂²×D₄	—	43	1	no	—
1070	C₂²×D₄	—	43	1	no	—
1071	C₂²×D₄	—	43	8	no	—
1072	C₂²×D₄	—	43	1	no	—
1073	C₂²×D₄	—	86	4	no	—
1074	C₂²×D₄	—	86	4	no	—
1075	C₂²×D₄	C₂²×D₄₃	1	1	yes	characteristic
1076	C₂³×C₄	—	43	1	no	—
1077	C₂³×C₄	—	43	8	no	—
1078	C₂³×C₄	—	43	1	no	—
1079	C₂³×C₄	—	43	1	no	—
1080	C₂³×C₄	—	43	1	no	—
1081	C₂³×C₄	—	43	1	no	—
1082	C₂³×C₄	—	43	1	no	—
1083	C₂³×C₄	—	43	1	no	—
1084	C₂³×C₄	—	43	1	no	—
1085	C₂³×C₄	—	43	1	no	—
1086	C₂³×C₄	—	43	1	no	—
1087	C₂³×C₄	—	43	1	no	—
1088	C₂³×C₄	—	43	1	no	—
1089	C₂³×C₄	—	43	1	no	—
1090	C₂³×C₄	—	43	1	no	—
1091	C₂³×C₄	—	43	1	no	—
1092	C₂³×C₄	—	43	1	no	—
1093	C₂³×C₄	—	43	1	no	—
1094	C₂³×C₄	—	43	1	no	—
1095	C₂³×C₄	—	43	1	no	—
1096	C₂³×C₄	—	43	1	no	—
1097	C₂³×C₄	—	43	1	no	—
1098	C₂³×C₄	—	43	1	no	—
1099	C₂³×C₄	—	43	1	no	—
1100	C₂³×C₄	—	43	1	no	—
1101	C₂³×C₄	—	43	1	no	—
1102	C₂³×C₄	—	86	4	no	—
1103	C₂³×C₄	—	86	4	no	—
1104	C₂³×C₄	—	86	4	no	—
1105	C₂³×C₄	—	86	4	no	—
1106	C₂³×C₄	—	86	4	no	—
1107	C₂³×C₄	—	86	4	no	—
1108	C₂³×C₄	—	86	4	no	—
1109	C₂³×C₄	—	86	4	no	—
1110	C₂³×C₄	—	172	2	no	—
1111	C₂³×C₄	—	172	2	no	—
1112	C₂³×C₄	—	172	2	no	—
1113	C₂³×C₄	C₂²×D₄₃	1	1	yes	characteristic
1114	C₂³×C₄	C₂²×D₄₃	1	1	yes	characteristic
1115	C₂³×C₄	C₂²×D₄₃	1	1	yes	characteristic
1116	C₂³×C₄	C₂²×D₄₃	1	1	yes	characteristic
1117	#123	—	43	8	no	—
1118	#123	—	43	8	no	—
1119	#123	—	43	8	no	—
1120	#123	—	43	8	no	—
1121	#123	—	43	8	no	—
1122	#123	—	43	8	no	—
1123	#123	—	43	8	no	—
1124	#123	C₄×D₄₃	1	8	yes	complemented
1125	C₄×D₄	—	2	4	no	—
1126	C₄×D₄	—	86	4	no	—
1127	C₄×D₄	—	86	4	no	—
1128	C₄×D₄	—	86	4	no	—
1129	C₄×D₄	—	86	4	no	—
1130	C₄×D₄	—	86	4	no	—
1131	C₄×D₄	—	86	4	no	—
1132	C₄×D₄	—	86	4	no	—
1133	#117	—	2	4	no	—
1134	#117	—	86	4	no	—
1135	#117	—	86	4	no	—
1136	#117	—	86	4	no	—
1137	#117	—	86	4	no	—
1138	#117	—	86	4	no	—
1139	#117	—	86	4	no	—
1140	#117	—	86	4	no	—
1141	C₂×C₄⋊C₄	—	43	1	no	—
1142	C₂×C₄⋊C₄	—	43	1	no	—
1143	C₂×C₄⋊C₄	—	43	1	no	—
1144	C₂×C₄⋊C₄	—	43	1	no	—
1145	C₂×C₄⋊C₄	—	43	1	no	—
1146	C₂×C₄⋊C₄	—	43	1	no	—
1147	C₂×C₄⋊C₄	—	43	8	no	—
1148	C₂×C₄⋊C₄	—	43	8	no	—
1149	C₂×C₄⋊C₄	—	43	1	no	—
1150	C₂×C₄⋊C₄	—	43	1	no	—
1151	C₂×C₄⋊C₄	—	43	1	no	—
1152	C₂×C₄⋊C₄	—	43	1	no	—
1153	C₂×C₄⋊C₄	—	43	1	no	—
1154	C₂×C₄⋊C₄	—	43	1	no	—
1155	C₂×C₄⋊C₄	—	43	1	no	—
1156	C₂×C₄⋊C₄	—	43	1	no	—
1157	C₂×C₄⋊C₄	—	43	1	no	—
1158	C₂×C₄⋊C₄	—	43	1	no	—
1159	C₂×C₄⋊C₄	—	43	1	no	—
1160	C₂×C₄⋊C₄	—	43	1	no	—
1161	C₂×C₄⋊C₄	—	43	1	no	—
1162	C₂×C₄⋊C₄	—	43	1	no	—
1163	C₂×C₄⋊C₄	—	43	1	no	—
1164	C₂×C₄⋊C₄	—	86	4	no	—
1165	C₂×C₄⋊C₄	—	86	4	no	—
1166	C₂×C₄⋊C₄	—	86	4	no	—
1167	C₂×C₄⋊C₄	—	86	4	no	—
1168	C₂×C₄⋊C₄	—	172	2	no	—
1169	C₂×C₄⋊C₄	C₂²×D₄₃	1	1	yes	characteristic
1170	C₂×C₄⋊C₄	C₂²×D₄₃	1	1	yes	characteristic
1171	C₂×C₄⋊C₄	C₂²×D₄₃	1	1	yes	characteristic
1172	C₂×C₄⋊C₄	C₂²×D₄₃	1	1	yes	characteristic
1173	C₂×C₄⋊C₄	C₂²×D₄₃	1	1	yes	characteristic
1174	C₂×C₄⋊C₄	C₂²×D₄₃	1	1	yes	characteristic
1175	C₂×C₄⋊C₄	C₂²×D₄₃	1	1	yes	characteristic
1176	C₂×C₂²⋊C₄	—	43	1	no	—
1177	C₂×C₂²⋊C₄	—	43	1	no	—
1178	C₂×C₂²⋊C₄	—	43	1	no	—
1179	C₂×C₂²⋊C₄	—	43	1	no	—
1180	C₂×C₂²⋊C₄	—	43	1	no	—
1181	C₂×C₂²⋊C₄	—	43	1	no	—
1182	C₂×C₂²⋊C₄	—	43	1	no	—
1183	C₂×C₂²⋊C₄	—	43	1	no	—
1184	C₂×C₂²⋊C₄	—	43	1	no	—
1185	C₂×C₂²⋊C₄	—	43	1	no	—
1186	C₂×C₂²⋊C₄	—	43	1	no	—
1187	C₂×C₂²⋊C₄	—	43	1	no	—
1188	C₂×C₂²⋊C₄	—	43	8	no	—
1189	C₂×C₂²⋊C₄	—	43	8	no	—
1190	C₂×C₂²⋊C₄	—	43	8	no	—
1191	C₂×C₂²⋊C₄	—	43	8	no	—
1192	C₂×C₂²⋊C₄	—	43	1	no	—
1193	C₂×C₂²⋊C₄	—	43	1	no	—
1194	C₂×C₂²⋊C₄	—	43	1	no	—
1195	C₂×C₂²⋊C₄	—	43	1	no	—
1196	C₂×C₂²⋊C₄	—	43	1	no	—
1197	C₂×C₂²⋊C₄	—	43	1	no	—
1198	C₂×C₂²⋊C₄	—	43	1	no	—
1199	C₂×C₂²⋊C₄	—	43	1	no	—
1200	C₂×C₂²⋊C₄	—	43	1	no	—
1201	C₂×C₂²⋊C₄	—	43	1	no	—
1202	C₂×C₂²⋊C₄	—	43	1	no	—
1203	C₂×C₂²⋊C₄	—	43	1	no	—
1204	C₂×C₂²⋊C₄	—	86	4	no	—
1205	C₂×C₂²⋊C₄	—	86	4	no	—
1206	C₂×C₂²⋊C₄	—	86	4	no	—
1207	C₂×C₂²⋊C₄	—	172	2	no	—
1208	C₂×C₂²⋊C₄	C₂²×D₄₃	1	1	yes	characteristic
1209	C₂×C₂²⋊C₄	C₂²×D₄₃	1	1	yes	characteristic
1210	C₂×C₂²⋊C₄	C₂²×D₄₃	1	1	yes	characteristic
1211	C₂×C₂²⋊C₄	C₂²×D₄₃	1	1	yes	characteristic
1212	C₂×C₂²⋊C₄	C₂²×D₄₃	1	1	yes	characteristic
1213	C₂×C₂²⋊C₄	C₂²×D₄₃	1	1	yes	characteristic
1214	C₂×C₂²⋊C₄	C₂²×D₄₃	1	1	yes	characteristic
1215	C₂×C₂²⋊C₄	C₂²×D₄₃	1	1	yes	characteristic
1216	C₂×C₄²	—	43	1	no	—
1217	C₂×C₄²	—	43	1	no	—
1218	C₂×C₄²	—	43	1	no	—
1219	C₂×C₄²	—	43	1	no	—
1220	C₂×C₄²	—	43	1	no	—
1221	C₂×C₄²	—	43	1	no	—
1222	C₂×C₄²	—	43	1	no	—
1223	C₂×C₄²	—	43	1	no	—
1224	C₂×C₄²	—	43	1	no	—
1225	C₂×C₄²	—	43	1	no	—
1226	C₂×C₄²	—	43	1	no	—
1227	C₂×C₄²	—	43	1	no	—
1228	C₂×C₄²	—	43	1	no	—
1229	C₂×C₄²	—	43	1	no	—
1230	C₂×C₄²	—	43	1	no	—
1231	C₂×C₄²	—	86	4	no	—
1232	C₂×C₄²	—	86	4	no	—
1233	C₂×C₄²	—	86	4	no	—
1234	C₂×C₄²	—	86	4	no	—
1235	C₂×C₄²	—	172	2	no	—
1236	C₂×C₄²	C₂²×D₄₃	1	1	yes	characteristic
1237	C₂×C₄²	C₂²×D₄₃	1	1	yes	characteristic
1238	C₂×C₄²	C₂²×D₄₃	1	1	yes	characteristic
1239	C₂×C₄²	C₂²×D₄₃	1	1	yes	characteristic
1240	C₂×C₄²	C₂²×D₄₃	1	1	yes	characteristic
1241	#95	—	43	1	no	—
1242	#95	—	43	1	no	—
1243	#95	—	43	1	no	—
1244	#95	—	43	1	no	—
1245	#95	—	43	1	no	—
1246	#95	—	43	1	no	—
1247	#95	—	43	1	no	—
1248	#95	—	43	1	no	—
1249	#95	—	43	1	no	—
1250	#95	—	43	1	no	—
1251	#95	—	43	1	no	—
1252	#95	—	43	1	no	—
1253	#95	—	43	1	no	—
1254	#95	—	43	1	no	—
1255	#95	—	43	1	no	—
1256	#95	—	43	1	no	—
1257	#95	—	43	1	no	—
1258	#95	—	43	1	no	—
1259	#95	—	43	1	no	—
1260	#95	—	43	1	no	—
1261	#95	—	43	1	no	—
1262	#95	—	43	1	no	—
1263	#95	—	43	1	no	—
1264	#95	—	43	1	no	—
1265	#95	—	43	1	no	—
1266	#95	—	43	1	no	—
1267	#95	—	43	1	no	—
1268	#95	—	43	1	no	—
1269	#95	—	43	1	no	—
1270	#95	—	43	1	no	—
1271	#95	C₂²×D₄₃	1	1	yes	characteristic
1272	#95	C₂²×D₄₃	1	1	yes	characteristic
1273	#95	C₂²×D₄₃	1	1	yes	characteristic
1274	#95	C₂²×D₄₃	1	1	yes	characteristic
1275	#95	C₂²×D₄₃	1	1	yes	characteristic
1276	#95	C₂²×D₄₃	1	1	yes	characteristic
1277	#95	C₂²×D₄₃	1	1	yes	characteristic
1278	#95	C₂²×D₄₃	1	1	yes	characteristic
1279	#95	C₂²×D₄₃	1	1	yes	characteristic
1280	#95	C₂²×D₄₃	1	1	yes	characteristic
1281	C₂⁴	—	43	1	no	—
1282	C₂⁴	—	43	4	no	—
1283	C₂⁴	—	43	4	no	—
1284	C₂⁴	—	43	4	no	—
1285	C₂⁴	—	43	1	no	—
1286	C₂⁴	—	43	4	no	—
1287	C₂⁴	—	43	1	no	—
1288	C₂⁴	—	86	2	no	—
1289	C₂⁴	—	86	2	no	—
1290	C₂⁴	—	86	2	no	—
1291	C₂⁴	—	86	2	no	—
1292	C₂⁴	—	86	2	no	—
1293	C₂⁴	—	86	2	no	—
1294	C₂⁴	—	86	2	no	—
1295	C₂⁴	—	86	2	no	—
1296	C₂⁴	—	86	2	no	—
1297	C₂⁴	—	86	2	no	—
1298	C₂⁴	C₂³×D₄₃	1	1	yes	characteristic
1299	C₂⁴	C₂³×D₄₃	1	1	yes	characteristic
1300	C₂×D₄	—	2	2	no	—
1301	C₂×D₄	—	2	2	no	—
1302	C₂×D₄	—	43	4	no	—
1303	C₂×D₄	—	43	4	no	—
1304	C₂×D₄	—	43	4	no	—
1305	C₂×D₄	—	86	2	no	—
1306	C₂×D₄	—	86	2	no	—
1307	C₂×D₄	—	86	32	no	—
1308	C₂×D₄	—	86	2	no	—
1309	C₂×D₄	—	86	2	no	—
1310	C₂×D₄	—	86	2	no	—
1311	C₂×D₄	—	86	2	no	—
1312	C₂×D₄	C₂×C₄×D₄₃	1	4	yes	—
1313	C₂²×C₄	—	2	2	no	—
1314	C₂²×C₄	—	2	2	no	—
1315	C₂²×C₄	—	2	2	no	—
1316	C₂²×C₄	—	2	2	no	—
1317	C₂²×C₄	—	2	2	no	—
1318	C₂²×C₄	—	2	2	no	—
1319	C₂²×C₄	—	2	2	no	—
1320	C₂²×C₄	—	2	2	no	—
1321	C₂²×C₄	—	4	1	no	—
1322	C₂²×C₄	—	4	1	no	—
1323	C₂²×C₄	—	4	1	no	—
1324	C₂²×C₄	—	43	4	no	—
1325	C₂²×C₄	—	43	1	no	—
1326	C₂²×C₄	—	43	1	no	—
1327	C₂²×C₄	—	43	1	no	—
1328	C₂²×C₄	—	43	1	no	—
1329	C₂²×C₄	—	43	1	no	—
1330	C₂²×C₄	—	43	1	no	—
1331	C₂²×C₄	—	43	1	no	—
1332	C₂²×C₄	—	43	1	no	—
1333	C₂²×C₄	—	43	1	no	—
1334	C₂²×C₄	—	43	4	no	—
1335	C₂²×C₄	—	43	4	no	—
1336	C₂²×C₄	—	43	4	no	—
1337	C₂²×C₄	—	43	4	no	—
1338	C₂²×C₄	—	43	4	no	—
1339	C₂²×C₄	—	43	4	no	—
1340	C₂²×C₄	—	43	4	no	—
1341	C₂²×C₄	—	43	4	no	—
1342	C₂²×C₄	—	43	4	no	—
1343	C₂²×C₄	—	43	4	no	—
1344	C₂²×C₄	—	43	4	no	—
1345	C₂²×C₄	—	43	1	no	—
1346	C₂²×C₄	—	43	1	no	—
1347	C₂²×C₄	—	43	1	no	—
1348	C₂²×C₄	—	43	1	no	—
1349	C₂²×C₄	—	86	2	no	—
1350	C₂²×C₄	—	86	2	no	—
1351	C₂²×C₄	—	86	2	no	—
1352	C₂²×C₄	—	86	2	no	—
1353	C₂²×C₄	—	86	2	no	—
1354	C₂²×C₄	—	86	2	no	—
1355	C₂²×C₄	—	86	2	no	—
1356	C₂²×C₄	—	86	2	no	—
1357	C₂²×C₄	—	86	2	no	—
1358	C₂²×C₄	—	86	2	no	—
1359	C₂²×C₄	—	86	2	no	—
1360	C₂²×C₄	—	86	2	no	—
1361	C₂²×C₄	—	86	2	no	—
1362	C₂²×C₄	—	86	2	no	—
1363	C₂²×C₄	—	86	2	no	—
1364	C₂²×C₄	—	86	2	no	—
1365	C₂²×C₄	—	86	32	no	—
1366	C₂²×C₄	—	86	2	no	—
1367	C₂²×C₄	—	86	2	no	—
1368	C₂²×C₄	—	86	2	no	—
1369	C₂²×C₄	—	86	2	no	—
1370	C₂²×C₄	—	86	2	no	—
1371	C₂²×C₄	—	86	2	no	—
1372	C₂²×C₄	—	86	2	no	—
1373	C₂²×C₄	—	86	2	no	—
1374	C₂²×C₄	—	86	2	no	—
1375	C₂²×C₄	—	86	2	no	—
1376	C₂²×C₄	—	86	2	no	—
1377	C₂²×C₄	—	86	2	no	—
1378	C₂²×C₄	—	86	2	no	—
1379	C₂²×C₄	—	86	2	no	—
1380	C₂²×C₄	—	86	2	no	—
1381	C₂²×C₄	—	86	2	no	—
1382	C₂²×C₄	—	86	2	no	—
1383	C₂²×C₄	—	86	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	—	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	—	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	16	no	—
1411	C₂²×C₄	—	172	16	no	—
1412	C₂²×C₄	—	172	16	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	complemented
1417	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
1418	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
1419	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
1420	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
1421	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
1422	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
1423	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
1424	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
1425	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
1426	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
1427	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
1428	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
1429	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
1430	C₄⋊C₄	—	2	2	no	—
1431	C₄⋊C₄	—	2	2	no	—
1432	C₄⋊C₄	—	2	2	no	—
1433	C₄⋊C₄	—	2	2	no	—
1434	C₄⋊C₄	—	4	1	no	—
1435	C₄⋊C₄	—	43	4	no	—
1436	C₄⋊C₄	—	43	4	no	—
1437	C₄⋊C₄	—	43	4	no	—
1438	C₄⋊C₄	—	43	4	no	—
1439	C₄⋊C₄	—	43	4	no	—
1440	C₄⋊C₄	—	43	4	no	—
1441	C₄⋊C₄	—	86	2	no	—
1442	C₄⋊C₄	—	86	2	no	—
1443	C₄⋊C₄	—	86	2	no	—
1444	C₄⋊C₄	—	86	2	no	—
1445	C₄⋊C₄	—	86	2	no	—
1446	C₄⋊C₄	—	86	2	no	—
1447	C₄⋊C₄	—	86	2	no	—
1448	C₄⋊C₄	—	86	2	no	—
1449	C₄⋊C₄	—	86	2	no	—
1450	C₄⋊C₄	—	86	2	no	—
1451	C₄⋊C₄	—	86	2	no	—
1452	C₄⋊C₄	—	86	2	no	—
1453	C₄⋊C₄	—	172	1	no	—
1454	C₄⋊C₄	—	172	1	no	—
1455	C₄⋊C₄	—	172	1	no	—
1456	C₄⋊C₄	C₂×C₄×D₄₃	1	4	yes	complemented
1457	C₄⋊C₄	C₂×C₄×D₄₃	1	4	yes	complemented
1458	C₂²⋊C₄	—	2	2	no	—
1459	C₂²⋊C₄	—	2	2	no	—
1460	C₂²⋊C₄	—	2	2	no	—
1461	C₂²⋊C₄	—	4	1	no	—
1462	C₂²⋊C₄	—	43	4	no	—
1463	C₂²⋊C₄	—	43	4	no	—
1464	C₂²⋊C₄	—	43	4	no	—
1465	C₂²⋊C₄	—	43	4	no	—
1466	C₂²⋊C₄	—	43	4	no	—
1467	C₂²⋊C₄	—	43	4	no	—
1468	C₂²⋊C₄	—	43	4	no	—
1469	C₂²⋊C₄	—	43	4	no	—
1470	C₂²⋊C₄	—	43	4	no	—
1471	C₂²⋊C₄	—	43	4	no	—
1472	C₂²⋊C₄	—	43	4	no	—
1473	C₂²⋊C₄	—	43	4	no	—
1474	C₂²⋊C₄	—	86	2	no	—
1475	C₂²⋊C₄	—	86	2	no	—
1476	C₂²⋊C₄	—	86	2	no	—
1477	C₂²⋊C₄	—	86	2	no	—
1478	C₂²⋊C₄	—	86	2	no	—
1479	C₂²⋊C₄	—	86	2	no	—
1480	C₂²⋊C₄	—	86	2	no	—
1481	C₂²⋊C₄	—	86	2	no	—
1482	C₂²⋊C₄	—	86	2	no	—
1483	C₂²⋊C₄	—	172	1	no	—
1484	C₂²⋊C₄	—	172	1	no	—
1485	C₂²⋊C₄	—	172	1	no	—
1486	C₂²⋊C₄	C₂×C₄×D₄₃	1	4	yes	complemented
1487	C₂²⋊C₄	C₂×C₄×D₄₃	1	4	yes	complemented
1488	C₂²⋊C₄	C₂×C₄×D₄₃	1	4	yes	complemented
1489	C₂²⋊C₄	D₄×D₄₃	1	4	yes	—
1490	C₄²	—	2	2	no	—
1491	C₄²	—	2	2	no	—
1492	C₄²	—	2	2	no	—
1493	C₄²	—	2	2	no	—
1494	C₄²	—	4	1	no	—
1495	C₄²	—	86	2	no	—
1496	C₄²	—	86	2	no	—
1497	C₄²	—	86	2	no	—
1498	C₄²	—	86	2	no	—
1499	C₄²	—	86	2	no	—
1500	C₄²	—	86	2	no	—
1501	C₄²	—	86	2	no	—
1502	C₄²	—	86	2	no	—
1503	C₄²	—	86	2	no	—
1504	C₄²	—	86	2	no	—
1505	C₄²	—	86	2	no	—
1506	C₄²	—	86	2	no	—
1507	C₄²	—	172	1	no	—
1508	C₄²	—	172	1	no	—
1509	C₄²	—	172	1	no	—
1510	C₂³	—	2	1	no	—
1511	C₂³	—	2	1	no	—
1512	C₂³	—	2	1	no	—
1513	C₂³	—	2	1	no	—
1514	C₂³	—	2	1	no	—
1515	C₂³	—	2	1	no	—
1516	C₂³	—	2	1	no	—
1517	C₂³	—	2	1	no	—
1518	C₂³	—	2	1	no	—
1519	C₂³	—	2	1	no	—
1520	C₂³	—	43	2	no	—
1521	C₂³	—	43	2	no	—
1522	C₂³	—	43	2	no	—
1523	C₂³	—	43	2	no	—
1524	C₂³	—	43	2	no	—
1525	C₂³	—	43	2	no	—
1526	C₂³	—	43	2	no	—
1527	C₂³	—	43	16	no	—
1528	C₂³	—	43	2	no	—
1529	C₂³	—	43	2	no	—
1530	C₂³	—	43	2	no	—
1531	C₂³	—	43	2	no	—
1532	C₂³	—	86	8	no	—
1533	C₂³	—	86	8	no	—
1534	C₂³	—	86	8	no	—
1535	C₂³	—	86	8	no	—
1536	C₂³	—	86	8	no	—
1537	C₂³	—	86	8	no	—
1538	C₂³	—	86	8	no	—
1539	C₂³	—	86	8	no	—
1540	C₂³	—	86	8	no	—
1541	C₂³	—	86	1	no	—
1542	C₂³	—	86	1	no	—
1543	C₂³	—	86	1	no	—
1544	C₂³	—	86	1	no	—
1545	C₂³	—	86	1	no	—
1546	C₂³	—	86	1	no	—
1547	C₂³	—	86	1	no	—
1548	C₂³	—	86	1	no	—
1549	C₂³	—	86	1	no	—
1550	C₂³	—	86	1	no	—
1551	C₂³	—	172	4	no	—
1552	C₂³	—	172	4	no	—
1553	C₂³	—	172	4	no	—
1554	C₂³	—	172	4	no	—
1555	C₂³	C₂²×C₄×D₄₃	1	2	yes	—
1556	C₂³	C₂²×C₄×D₄₃	1	2	yes	—
1557	C₂³	C₂×D₄×D₄₃	1	2	yes	—
1558	C₂³	#41×D₄₃	1	2	yes	—
1559	C₂³	C₂⁴×D₄₃	1	1	yes	characteristic
1560	D₄	—	2	8	no	—
1561	D₄	—	86	8	no	—
1562	D₄	—	86	8	no	—
1563	D₄	—	86	8	no	—
1564	C₂×C₄	—	2	8	no	—
1565	C₂×C₄	—	2	1	no	—
1566	C₂×C₄	—	2	1	no	—
1567	C₂×C₄	—	2	1	no	—
1568	C₂×C₄	—	2	1	no	—
1569	C₂×C₄	—	2	1	no	—
1570	C₂×C₄	—	2	1	no	—
1571	C₂×C₄	—	2	1	no	—
1572	C₂×C₄	—	2	1	no	—
1573	C₂×C₄	—	2	1	no	—
1574	C₂×C₄	—	2	1	no	—
1575	C₂×C₄	—	2	1	no	—
1576	C₂×C₄	—	2	1	no	—
1577	C₂×C₄	—	2	1	no	—
1578	C₂×C₄	—	2	1	no	—
1579	C₂×C₄	—	2	1	no	—
1580	C₂×C₄	—	2	1	no	—
1581	C₂×C₄	—	2	1	no	—
1582	C₂×C₄	—	2	1	no	—
1583	C₂×C₄	—	2	1	no	—
1584	C₂×C₄	—	2	1	no	—
1585	C₂×C₄	—	2	1	no	—
1586	C₂×C₄	—	2	1	no	—
1587	C₂×C₄	—	2	1	no	—
1588	C₂×C₄	—	2	1	no	—
1589	C₂×C₄	—	2	1	no	—
1590	C₂×C₄	—	2	1	no	—
1591	C₂×C₄	—	2	1	no	—
1592	C₂×C₄	—	2	1	no	—
1593	C₂×C₄	—	2	1	no	—
1594	C₂×C₄	—	2	1	no	—
1595	C₂×C₄	—	4	4	no	—
1596	C₂×C₄	—	4	4	no	—
1597	C₂×C₄	—	4	4	no	—
1598	C₂×C₄	—	43	2	no	—
1599	C₂×C₄	—	43	2	no	—
1600	C₂×C₄	—	43	2	no	—
1601	C₂×C₄	—	43	2	no	—
1602	C₂×C₄	—	43	2	no	—
1603	C₂×C₄	—	43	2	no	—
1604	C₂×C₄	—	43	2	no	—
1605	C₂×C₄	—	43	2	no	—
1606	C₂×C₄	—	43	2	no	—
1607	C₂×C₄	—	86	8	no	—
1608	C₂×C₄	—	86	8	no	—
1609	C₂×C₄	—	86	8	no	—
1610	C₂×C₄	—	86	8	no	—
1611	C₂×C₄	—	86	8	no	—
1612	C₂×C₄	—	86	8	no	—
1613	C₂×C₄	—	86	8	no	—
1614	C₂×C₄	—	86	8	no	—
1615	C₂×C₄	—	86	8	no	—
1616	C₂×C₄	—	86	8	no	—
1617	C₂×C₄	—	86	8	no	—
1618	C₂×C₄	—	86	8	no	—
1619	C₂×C₄	—	86	1	no	—
1620	C₂×C₄	—	86	1	no	—
1621	C₂×C₄	—	86	1	no	—
1622	C₂×C₄	—	86	1	no	—
1623	C₂×C₄	—	86	1	no	—
1624	C₂×C₄	—	86	1	no	—
1625	C₂×C₄	—	86	1	no	—
1626	C₂×C₄	—	86	1	no	—
1627	C₂×C₄	—	86	1	no	—
1628	C₂×C₄	—	86	1	no	—
1629	C₂×C₄	—	86	1	no	—
1630	C₂×C₄	—	86	1	no	—
1631	C₂×C₄	—	86	1	no	—
1632	C₂×C₄	—	86	1	no	—
1633	C₂×C₄	—	86	1	no	—
1634	C₂×C₄	—	86	1	no	—
1635	C₂×C₄	—	86	1	no	—
1636	C₂×C₄	—	86	1	no	—
1637	C₂×C₄	—	86	1	no	—
1638	C₂×C₄	—	86	1	no	—
1639	C₂×C₄	—	86	1	no	—
1640	C₂×C₄	—	86	1	no	—
1641	C₂×C₄	—	86	1	no	—
1642	C₂×C₄	—	86	1	no	—
1643	C₂×C₄	—	86	1	no	—
1644	C₂×C₄	—	86	1	no	—
1645	C₂×C₄	—	86	1	no	—
1646	C₂×C₄	—	86	1	no	—
1647	C₂×C₄	—	86	1	no	—
1648	C₂×C₄	—	86	1	no	—
1649	C₂×C₄	—	172	4	no	—
1650	C₂×C₄	—	172	4	no	—
1651	C₂×C₄	—	172	4	no	—
1652	C₂×C₄	—	172	4	no	—
1653	C₂×C₄	—	172	4	no	—
1654	C₂×C₄	—	172	4	no	—
1655	C₂×C₄	—	172	4	no	—
1656	C₂×C₄	—	172	4	no	—
1657	C₂×C₄	—	172	4	no	—
1658	C₂×C₄	—	172	4	no	—
1659	C₂×C₄	—	172	4	no	—
1660	C₂×C₄	—	172	4	no	—
1661	C₂×C₄	—	172	4	no	—
1662	C₂×C₄	C₂²×C₄×D₄₃	1	2	yes	—
1663	C₂×C₄	C₂²×C₄×D₄₃	1	2	yes	—
1664	C₂×C₄	C₂²×C₄×D₄₃	1	2	yes	—
1665	C₂×C₄	C₂²×C₄×D₄₃	1	2	yes	—
1666	C₂×C₄	C₂²×C₄×D₄₃	1	2	yes	—
1667	C₂×C₄	C₂×D₄×D₄₃	1	2	yes	—
1668	C₂×C₄	C₂×D₄×D₄₃	1	2	yes	—
1669	C₂×C₄	#41×D₄₃	1	2	yes	—
1670	C₂×C₄	#41×D₄₃	1	2	yes	—
1671	C₂²	—	2	2	no	—
1672	C₂²	—	2	2	no	—
1673	C₂²	—	2	2	no	—
1674	C₂²	—	2	2	no	—
1675	C₂²	—	2	2	no	—
1676	C₂²	—	2	2	no	—
1677	C₂²	—	2	2	no	—
1678	C₂²	—	2	2	no	—
1679	C₂²	—	2	2	no	—
1680	C₂²	—	4	1	no	—
1681	C₂²	—	4	1	no	—
1682	C₂²	—	4	1	no	—
1683	C₂²	—	4	1	no	—
1684	C₂²	—	43	4	no	—
1685	C₂²	—	43	4	no	—
1686	C₂²	—	43	4	no	—
1687	C₂²	—	43	4	no	—
1688	C₂²	—	43	4	no	—
1689	C₂²	—	43	4	no	—
1690	C₂²	—	43	4	no	—
1691	C₂²	—	43	4	no	—
1692	C₂²	—	86	32	no	—
1693	C₂²	—	86	2	no	—
1694	C₂²	—	86	2	no	—
1695	C₂²	—	86	2	no	—
1696	C₂²	—	86	2	no	—
1697	C₂²	—	86	2	no	—
1698	C₂²	—	86	2	no	—
1699	C₂²	—	86	2	no	—
1700	C₂²	—	86	2	no	—
1701	C₂²	—	86	2	no	—
1702	C₂²	—	172	16	no	—
1703	C₂²	—	172	1	no	—
1704	C₂²	—	172	1	no	—
1705	C₂²	—	172	1	no	—
1706	C₂²	—	172	1	no	—
1707	C₂²	C₄×D₄×D₄₃	1	4	yes	—
1708	C₂²	C₂³×C₄×D₄₃	1	1	yes	characteristic
1709	C₂²	C₂²×D₄×D₄₃	1	1	yes	characteristic
1710	C₂²	C₂×#41×D₄₃	1	1	yes	characteristic
1711	C₂²	C₂×#41×D₄₃	1	1	yes	characteristic
1712	C₂²	C₂×#41×D₄₃	1	1	yes	characteristic
1713	C₂²	H(5,𝔽₂)×D₄₃	1	1	yes	characteristic
1714	C₂²	2₋¹⁺⁴×D₄₃	1	1	yes	characteristic
1715	C₄	—	2	2	no	—
1716	C₄	—	2	2	no	—
1717	C₄	—	2	2	no	—
1718	C₄	—	2	2	no	—
1719	C₄	—	2	2	no	—
1720	C₄	—	2	2	no	—
1721	C₄	—	2	2	no	—
1722	C₄	—	2	2	no	—
1723	C₄	—	2	2	no	—
1724	C₄	—	4	1	no	—
1725	C₄	—	4	1	no	—
1726	C₄	—	4	1	no	—
1727	C₄	—	4	1	no	—
1728	C₄	—	86	2	no	—
1729	C₄	—	86	2	no	—
1730	C₄	—	86	2	no	—
1731	C₄	—	86	2	no	—
1732	C₄	—	86	2	no	—
1733	C₄	—	86	2	no	—
1734	C₄	—	86	2	no	—
1735	C₄	—	86	2	no	—
1736	C₄	—	86	2	no	—
1737	C₄	—	172	1	no	—
1738	C₄	—	172	1	no	—
1739	C₄	—	172	1	no	—
1740	C₄	—	172	1	no	—
1741	C₂	—	2	4	no	—
1742	C₂	—	4	2	no	—
1743	C₂	—	43	8	no	—
1744	C₂	—	86	4	no	—
1745	C₂	—	172	2	no	—
1746	C₂	C₂×C₄×D₄×D₄₃	1	1	yes	characteristic
1747	C₂	C₄×#41×D₄₃	1	1	yes	characteristic
1748	C₂	#520×D₄₃	1	1	yes	characteristic
1749	C₂	#546×D₄₃	1	1	yes	characteristic
1750	C₂	#547×D₄₃	1	1	yes	characteristic
1751	C₂	#551×D₄₃	1	1	yes	characteristic
1752	C₂	#552×D₄₃	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	C₂×#2359
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. #19137594	C₂	semidirect
5. #19137593	C₂	semidirect
6. #19137592	C₂	semidirect
7. #19137591	C₂	semidirect
8. #19137590	C₂	semidirect
9. #19137589	C₂	semidirect
10. #19137588	C₂	semidirect
11. #19137587	C₂	semidirect
12. #19137586	C₂	semidirect
13. #19137585	C₂	semidirect
14. #19137584	C₂	semidirect
15. #19137583	C₂	semidirect
16. #19137582	C₂	semidirect
17. #19137581	C₂	semidirect
18. #19137580	C₂	semidirect
19. #389×D₄₃	C₂	semidirect
20. #388×D₄₃	C₂	semidirect
21. #388×D₄₃	C₂	semidirect
22. #387×D₄₃	C₂	semidirect
23. #387×D₄₃	C₂	semidirect
25. #385×D₄₃	C₂	semidirect
26. #385×D₄₃	C₂	semidirect
27. C₄×C₄⋊C₄×D₄₃	C₂	semidirect
28. C₄×C₂²⋊C₄×D₄₃	C₂	semidirect
29. C₄×C₂²⋊C₄×D₄₃	C₂	semidirect
30. C₂×#95×D₄₃	C₂	semidirect
31. C₄₃×#2359	C₂	semidirect
44. #123×D₄₃	C₄	semidirect
53. C₂×#13063284	C₂²	semidirect
54. C₂×#13063283	C₂²	semidirect
55. C₂×#13063283	C₂²	semidirect
56. C₂×#13063282	C₂²	semidirect
57. C₂×#13063282	C₂²	semidirect
58. C₂×#13063281	C₂²	semidirect
59. C₂×#13063281	C₂²	semidirect
81. #14582798	C₂²	semidirect
82. #14582797	C₂²	semidirect
83. #14582796	C₂²	semidirect
84. #14582796	C₂²	semidirect
85. #14582795	C₂²	semidirect
86. #14582794	C₂²	semidirect
87. #14582794	C₂²	semidirect
88. #14582793	C₂²	semidirect
89. #14582793	C₂²	semidirect
90. #14582792	C₂²	semidirect
91. #14582792	C₂²	semidirect
92. #14582791	C₂²	semidirect
93. #14582791	C₂²	semidirect
94. #14582790	C₂²	semidirect
95. #14582790	C₂²	semidirect
96. #14582789	C₂²	semidirect
97. #14582789	C₂²	semidirect
98. #14582788	C₂²	semidirect
99. #14582788	C₂²	semidirect
100. #14582787	C₂²	semidirect
101. #14582787	C₂²	semidirect
102. #14582786	C₂²	semidirect
103. #14582786	C₂²	semidirect
104. #14582785	C₂²	semidirect
105. #14582785	C₂²	semidirect
106. #14582784	C₂²	semidirect
107. #14582784	C₂²	semidirect
108. #14582783	C₂²	semidirect
109. #14582783	C₂²	semidirect
110. #14582782	C₂²	semidirect
111. #14582782	C₂²	semidirect
112. #14582781	C₂²	semidirect
113. #14582781	C₂²	semidirect
114. #14582780	C₂²	semidirect
115. #14582780	C₂²	semidirect
123. #14582774	C₂²	semidirect
124. #14582774	C₂²	semidirect
125. #14582773	C₂²	semidirect
126. #14582773	C₂²	semidirect
127. #14582773	C₂²	semidirect
128. #14582773	C₂²	semidirect
129. #14582772	C₂²	semidirect
130. #14582772	C₂²	semidirect
131. #14582771	C₂²	semidirect
132. #14582771	C₂²	semidirect
133. #14582770	C₂²	semidirect
134. #14582770	C₂²	semidirect
135. #14582770	C₂²	semidirect
136. #14582770	C₂²	semidirect
137. C₄⋊C₄×Dic₄₃	C₂²	semidirect
138. C₄⋊C₄×Dic₄₃	C₂²	semidirect
139. C₄×Dic₄₃⋊C₄	C₂²	semidirect
140. C₄×Dic₄₃⋊C₄	C₂²	semidirect
141. C₄×C₄⋊Dic₄₃	C₂²	semidirect
142. #14582750	C₂²	semidirect
143. #14582750	C₂²	semidirect
144. C₂²⋊C₄×Dic₄₃	C₂²	semidirect
145. C₂²⋊C₄×Dic₄₃	C₂²	semidirect
146. C₂²⋊C₄×Dic₄₃	C₂²	semidirect
147. C₂²⋊C₄×Dic₄₃	C₂²	semidirect
148. C₄×(C₂×D₄₃)⋊C₄	C₂²	semidirect
149. C₄×(C₂×D₄₃)⋊C₄	C₂²	semidirect
150. C₄×(C₂×D₄₃)⋊C₄	C₂²	semidirect
151. C₄×(C₂×D₄₃)⋊C₄	C₂²	semidirect
152. C₄×C₂²⋊Dic₄₃	C₂²	semidirect
153. C₄×C₂²⋊Dic₄₃	C₂²	semidirect
154. #14582746	C₂²	semidirect
155. #14582746	C₂²	semidirect
156. #14582746	C₂²	semidirect
157. #14582746	C₂²	semidirect
158. C₂×C₄₃⋊#95	C₂²	semidirect
159. C₂×C₄₃⋊#95	C₂²	semidirect
160. C₂×C₄₃⋊#95	C₂²	semidirect
171. #95×D₄₃	C₂²	semidirect
172. #95×D₄₃	C₂²	semidirect
173. #95×D₄₃	C₂²	semidirect
174. #95×D₄₃	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
213. C₂²×C₄×D₄₃	C₂×C₄	semidirect
235. #13063310	C₂×C₄	semidirect
236. #13063310	C₂×C₄	semidirect
237. #13063309	C₂×C₄	semidirect
238. #13063308	C₂×C₄	semidirect
239. #13063307	C₂×C₄	semidirect
240. #13063307	C₂×C₄	semidirect
241. #13063306	C₂×C₄	semidirect
282. C₄⋊C₄×D₄₃	C₂×C₄	semidirect
283. C₄⋊C₄×D₄₃	C₂×C₄	semidirect
312. C₂²⋊C₄×D₄₃	C₂×C₄	semidirect
313. C₂²⋊C₄×D₄₃	C₂×C₄	semidirect
314. C₂²⋊C₄×D₄₃	C₂×C₄	semidirect
371. #123×C₄₃	C₂×C₄	semidirect
437. C₂²×C₄×C₄₃	C₂²×C₄	semidirect
468. C₂²×Dic₄₃	C₂²×C₄	semidirect
547. C₂×C₄×D₄₃	C₂²×C₄	semidirect
548. C₂×C₄×D₄₃	C₂²×C₄	semidirect
558. C₄⋊C₄×C₄₃	C₂²×C₄	semidirect
559. C₄⋊C₄×C₄₃	C₂²×C₄	semidirect
564. C₂²⋊C₄×C₄₃	C₂²×C₄	semidirect
565. C₂²⋊C₄×C₄₃	C₂²×C₄	semidirect
566. C₂²⋊C₄×C₄₃	C₂²×C₄	semidirect
577. C₂²⋊Dic₄₃	C₂²×C₄	semidirect
578. C₂²⋊Dic₄₃	C₂²×C₄	semidirect
579. C₂²⋊Dic₄₃	C₂²×C₄	semidirect
589. (C₂×D₄₃)⋊C₄	C₂²×C₄	semidirect
590. (C₂×D₄₃)⋊C₄	C₂²×C₄	semidirect
591. (C₂×D₄₃)⋊C₄	C₂²×C₄	semidirect
592. (C₂×D₄₃)⋊C₄	C₂²×C₄	semidirect
593. (C₂×D₄₃)⋊C₄	C₂²×C₄	semidirect
594. (C₂×D₄₃)⋊C₄	C₂²×C₄	semidirect
602. C₄⋊Dic₄₃	C₂²×C₄	semidirect
603. C₄⋊Dic₄₃	C₂²×C₄	semidirect
614. Dic₄₃⋊C₄	C₂²×C₄	semidirect
615. Dic₄₃⋊C₄	C₂²×C₄	semidirect
616. Dic₄₃⋊C₄	C₂²×C₄	semidirect
617. Dic₄₃⋊C₄	C₂²×C₄	semidirect
883. #2359	D₄₃	direct (N × H)
907. D₄₃	#2359	direct (N × H)
939. C₂×#117	C₂×D₄₃	semidirect
967. #389	C₂×D₄₃	semidirect
982. #388	C₂×D₄₃	semidirect
983. #388	C₂×D₄₃	semidirect
998. #387	C₂×D₄₃	semidirect
999. #387	C₂×D₄₃	semidirect
1022. #385	C₂×D₄₃	semidirect
1023. #385	C₂×D₄₃	semidirect
1031. C₄×C₄⋊C₄	C₂×D₄₃	semidirect
1046. C₄×C₂²⋊C₄	C₂×D₄₃	semidirect
1047. C₄×C₂²⋊C₄	C₂×D₄₃	semidirect
1065. C₂×#95	C₂×D₄₃	semidirect
1066. C₄₃	C₂×#2359	semidirect
1124. #123	C₄×D₄₃	semidirect
1416. C₂²×C₄	C₂×C₄×D₄₃	semidirect
1456. C₄⋊C₄	C₂×C₄×D₄₃	semidirect
1457. C₄⋊C₄	C₂×C₄×D₄₃	semidirect
1486. C₂²⋊C₄	C₂×C₄×D₄₃	semidirect
1487. C₂²⋊C₄	C₂×C₄×D₄₃	semidirect
1488. C₂²⋊C₄	C₂×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×C₄×D₄×D₄₃	2
C₂×#117×D₄₃	2
#19137594	2
#19137593	2
#19137592	2
#19137591	2
#19137590	2
#19137589	2
#19137588	2
#19137587	2
#19137586	2
#19137585	2
#19137584	2
#19137583	2
#19137582	2
#19137581	2
#19137580	2
#389×D₄₃	2
#388×D₄₃	2
#387×D₄₃	2
#386×D₄₃	2
#385×D₄₃	2
C₄×C₄⋊C₄×D₄₃	2
C₄×C₂²⋊C₄×D₄₃	2
C₂×#95×D₄₃	2
C₄₃×#2359	2
C₂×#2359	43

Subgroups — D43×#2359 #25256092

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — D₄₃×#2359 #25256092