Subgroups — D₄₃×#2574 #25266830

Order 11008.

2334 conjugacy classes of subgroups.

The subgroup lattice has 1504 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#19139876	C₂	1	1	yes	maximal, characteristic, complemented
2	#19139875	C₂	1	1	yes	maximal, characteristic, complemented
3	#19139874	C₂	1	1	yes	maximal, characteristic, complemented
4	#19139873	C₂	1	1	yes	maximal, characteristic, complemented
5	#19139872	C₂	1	1	yes	maximal, characteristic, complemented
6	#19139871	C₂	1	1	yes	maximal, characteristic, complemented
7	#19139870	C₂	1	1	yes	maximal, characteristic, complemented
8	#19139869	C₂	1	1	yes	maximal, characteristic, complemented
9	#19139868	C₂	1	1	yes	maximal, characteristic, complemented
10	#19139867	C₂	1	1	yes	maximal, characteristic, complemented
11	#19139866	C₂	1	1	yes	maximal, characteristic, complemented
12	#19139865	C₂	1	1	yes	maximal, characteristic, complemented
13	#19139864	C₂	1	1	yes	maximal, characteristic, complemented
14	#19139863	C₂	1	1	yes	maximal, characteristic, complemented
15	#19139862	C₂	1	1	yes	maximal, characteristic, complemented
16	#398×D₄₃	C₂	1	1	yes	maximal, characteristic, complemented
17	#396×D₄₃	C₂	1	1	yes	maximal, characteristic
18	#395×D₄₃	C₂	1	1	yes	maximal, characteristic, complemented
19	#393×D₄₃	C₂	1	1	yes	maximal, characteristic
20	#391×D₄₃	C₂	1	1	yes	maximal, characteristic, complemented
21	#388×D₄₃	C₂	1	1	yes	maximal, characteristic
22	#388×D₄₃	C₂	1	1	yes	maximal, characteristic
23	#387×D₄₃	C₂	1	1	yes	maximal, characteristic, complemented
24	#387×D₄₃	C₂	1	1	yes	maximal, characteristic, complemented
25	#387×D₄₃	C₂	1	1	yes	maximal, characteristic, complemented
26	#385×D₄₃	C₂	1	1	yes	maximal, characteristic
27	#382×D₄₃	C₂	1	1	yes	maximal, characteristic, complemented
28	#380×D₄₃	C₂	1	1	yes	maximal, characteristic
29	C₄×C₄⋊C₄×D₄₃	C₂	1	1	yes	maximal, characteristic, complemented
30	C₄×C₂²⋊C₄×D₄₃	C₂	1	1	yes	maximal, characteristic
31	C₄₃×#2574	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂²×Q₈×D₄₃	C₂²	1	1	yes	characteristic
33	C₂³×C₄×D₄₃	C₂²	1	1	yes	characteristic
34	C₂×C₄⋊C₄×D₄₃	C₂²	1	1	yes	characteristic
35	C₂×C₄⋊C₄×D₄₃	C₂²	1	1	yes	characteristic
36	C₂×C₄⋊C₄×D₄₃	C₂²	1	1	yes	characteristic
37	C₂×C₄⋊C₄×D₄₃	C₂²	1	1	yes	characteristic
38	C₂×C₄⋊C₄×D₄₃	C₂²	1	1	yes	characteristic
39	C₂×C₄⋊C₄×D₄₃	C₂²	1	1	yes	characteristic
40	C₂×C₄⋊C₄×D₄₃	C₂²	1	1	yes	characteristic
41	C₂×C₄⋊C₄×D₄₃	C₂²	1	1	yes	characteristic
42	C₂×C₄⋊C₄×D₄₃	C₂²	1	1	yes	characteristic
43	C₂×C₂²⋊C₄×D₄₃	C₂²	1	1	yes	characteristic
44	C₂×C₂²⋊C₄×D₄₃	C₂²	1	1	yes	characteristic
45	C₂×C₂²⋊C₄×D₄₃	C₂²	1	1	yes	characteristic
46	C₂×C₂²⋊C₄×D₄₃	C₂²	1	1	yes	characteristic
47	C₂×C₂²⋊C₄×D₄₃	C₂²	1	1	yes	characteristic
48	C₂×C₂²⋊C₄×D₄₃	C₂²	1	1	yes	characteristic
49	C₂×C₄²×D₄₃	C₂²	1	1	yes	characteristic
50	C₂×C₄²×D₄₃	C₂²	1	1	yes	characteristic
51	C₂×C₄²×D₄₃	C₂²	1	1	yes	characteristic
52	C₂×C₄²×D₄₃	C₂²	1	1	yes	characteristic
53	#14582833	C₂²	1	1	yes	characteristic, complemented
54	#14582833	C₂²	1	1	yes	characteristic, complemented
55	#14582832	C₂²	1	1	yes	characteristic, complemented
56	#14582832	C₂²	1	1	yes	characteristic, complemented
57	#14582831	C₂²	1	1	yes	characteristic, complemented
58	#14582830	C₂²	1	1	yes	characteristic, complemented
59	#14582829	C₂²	1	1	yes	characteristic, complemented
60	#14582823	C₂²	1	1	yes	characteristic
61	#14582822	C₂²	1	1	yes	characteristic
62	#14582822	C₂²	1	1	yes	characteristic
63	#14582822	C₂²	1	1	yes	characteristic
64	#14582821	C₂²	1	1	yes	characteristic
65	#14582821	C₂²	1	1	yes	characteristic
66	#14582821	C₂²	1	1	yes	characteristic
67	#14582820	C₂²	1	1	yes	characteristic, complemented
68	#14582820	C₂²	1	1	yes	characteristic, complemented
69	#14582820	C₂²	1	1	yes	characteristic, complemented
70	#14582819	C₂²	1	1	yes	characteristic, complemented
71	#14582819	C₂²	1	1	yes	characteristic, complemented
72	#14582819	C₂²	1	1	yes	characteristic, complemented
73	#14582818	C₂²	1	1	yes	characteristic, complemented
74	#14582812	C₂²	1	1	yes	characteristic
75	#14582812	C₂²	1	1	yes	characteristic
76	#14582812	C₂²	1	1	yes	characteristic
77	#14582811	C₂²	1	1	yes	characteristic
78	#14582811	C₂²	1	1	yes	characteristic
79	#14582811	C₂²	1	1	yes	characteristic
80	#14582810	C₂²	1	1	yes	characteristic
81	#14582806	C₂²	1	1	yes	characteristic, complemented
82	#14582805	C₂²	1	1	yes	characteristic, complemented
83	#14582804	C₂²	1	1	yes	characteristic, complemented
84	#14582803	C₂²	1	1	yes	characteristic, complemented
85	#14582803	C₂²	1	1	yes	characteristic, complemented
86	#14582803	C₂²	1	1	yes	characteristic, complemented
87	#14582803	C₂²	1	1	yes	characteristic, complemented
88	#14582793	C₂²	1	1	yes	characteristic
89	#14582793	C₂²	1	1	yes	characteristic
90	#14582792	C₂²	1	1	yes	characteristic
91	#14582792	C₂²	1	1	yes	characteristic
92	#14582791	C₂²	1	1	yes	characteristic
93	#14582791	C₂²	1	1	yes	characteristic
94	#14582790	C₂²	1	1	yes	characteristic
95	#14582790	C₂²	1	1	yes	characteristic
96	#14582789	C₂²	1	1	yes	characteristic
97	#14582789	C₂²	1	1	yes	characteristic
98	#14582788	C₂²	1	1	yes	characteristic
99	#14582788	C₂²	1	1	yes	characteristic
100	#14582787	C₂²	1	1	yes	characteristic
101	#14582787	C₂²	1	1	yes	characteristic
102	#14582786	C₂²	1	1	yes	characteristic, complemented
103	#14582786	C₂²	1	1	yes	characteristic, complemented
104	#14582786	C₂²	1	1	yes	characteristic, complemented
105	#14582785	C₂²	1	1	yes	characteristic, complemented
106	#14582785	C₂²	1	1	yes	characteristic, complemented
107	#14582785	C₂²	1	1	yes	characteristic, complemented
108	#14582784	C₂²	1	1	yes	characteristic, complemented
109	#14582784	C₂²	1	1	yes	characteristic, complemented
110	#14582784	C₂²	1	1	yes	characteristic, complemented
111	#14582783	C₂²	1	1	yes	characteristic, complemented
112	#14582783	C₂²	1	1	yes	characteristic, complemented
113	#14582783	C₂²	1	1	yes	characteristic, complemented
114	#14582782	C₂²	1	1	yes	characteristic, complemented
115	#14582782	C₂²	1	1	yes	characteristic, complemented
116	#14582782	C₂²	1	1	yes	characteristic, complemented
117	#14582781	C₂²	1	1	yes	characteristic, complemented
118	#14582781	C₂²	1	1	yes	characteristic, complemented
119	#14582781	C₂²	1	1	yes	characteristic, complemented
120	#14582780	C₂²	1	1	yes	characteristic, complemented
121	#14582780	C₂²	1	1	yes	characteristic, complemented
122	#14582780	C₂²	1	1	yes	characteristic, complemented
123	#14582774	C₂²	1	1	yes	characteristic
124	#14582773	C₂²	1	1	yes	characteristic
125	#14582773	C₂²	1	1	yes	characteristic
126	#14582772	C₂²	1	1	yes	characteristic
127	#14582771	C₂²	1	1	yes	characteristic
128	#14582770	C₂²	1	1	yes	characteristic
129	#14582770	C₂²	1	1	yes	characteristic
130	#14582765	C₂²	1	1	yes	characteristic, complemented
131	#14582764	C₂²	1	1	yes	characteristic, complemented
132	#14582764	C₂²	1	1	yes	characteristic, complemented
133	#14582763	C₂²	1	1	yes	characteristic, complemented
134	#14582763	C₂²	1	1	yes	characteristic, complemented
135	#14582763	C₂²	1	1	yes	characteristic, complemented
136	#14582763	C₂²	1	1	yes	characteristic, complemented
137	#14582759	C₂²	1	1	yes	characteristic
138	#14582758	C₂²	1	1	yes	characteristic
139	#14582758	C₂²	1	1	yes	characteristic
140	#14582757	C₂²	1	1	yes	characteristic
141	#14582757	C₂²	1	1	yes	characteristic
142	#14582756	C₂²	1	1	yes	characteristic
143	#14582756	C₂²	1	1	yes	characteristic
144	C₄⋊C₄×Dic₄₃	C₂²	1	1	yes	characteristic, complemented
145	C₄⋊C₄×Dic₄₃	C₂²	1	1	yes	characteristic, complemented
146	C₄×Dic₄₃⋊C₄	C₂²	1	1	yes	characteristic, complemented
147	C₄×Dic₄₃⋊C₄	C₂²	1	1	yes	characteristic, complemented
148	C₄×C₄⋊Dic₄₃	C₂²	1	1	yes	characteristic, complemented
149	#14582750	C₂²	1	1	yes	characteristic, complemented
150	#14582750	C₂²	1	1	yes	characteristic, complemented
151	C₂²⋊C₄×Dic₄₃	C₂²	1	1	yes	characteristic
152	C₂²⋊C₄×Dic₄₃	C₂²	1	1	yes	characteristic
153	C₄×(C₂×D₄₃)⋊C₄	C₂²	1	1	yes	characteristic
154	C₄×(C₂×D₄₃)⋊C₄	C₂²	1	1	yes	characteristic
155	C₄×C₂²⋊Dic₄₃	C₂²	1	1	yes	characteristic
156	#14582746	C₂²	1	1	yes	characteristic
157	#14582746	C₂²	1	1	yes	characteristic
158	#95×D₄₃	C₂²	1	1	yes	characteristic
159	#95×D₄₃	C₂²	1	1	yes	characteristic
160	#95×D₄₃	C₂²	1	1	yes	characteristic
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
172	C₄₃×#398	C₂²	1	1	yes	characteristic, complemented
173	C₄₃×#396	C₂²	1	1	yes	characteristic
174	C₄₃×#395	C₂²	1	1	yes	characteristic, complemented
175	C₄₃×#393	C₂²	1	1	yes	characteristic
176	C₄₃×#391	C₂²	1	1	yes	characteristic, complemented
177	C₄₃×#388	C₂²	1	1	yes	characteristic
178	C₄₃×#388	C₂²	1	1	yes	characteristic
179	C₄₃×#387	C₂²	1	1	yes	characteristic, complemented
180	C₄₃×#387	C₂²	1	1	yes	characteristic, complemented
181	C₄₃×#387	C₂²	1	1	yes	characteristic, complemented
182	C₄₃×#385	C₂²	1	1	yes	characteristic
183	C₄₃×#382	C₂²	1	1	yes	characteristic, complemented
184	C₄₃×#380	C₂²	1	1	yes	characteristic
185	C₄×C₄⋊C₄×C₄₃	C₂²	1	1	yes	characteristic, complemented
186	C₄×C₂²⋊C₄×C₄₃	C₂²	1	1	yes	characteristic
187	C₂⁴×D₄₃	C₂³	1	1	yes	characteristic
188	C₂²×Dic₈₆	C₂³	1	1	yes	characteristic
189	C₂²×Dic₈₆	C₂³	1	1	yes	characteristic
190	C₂²×Dic₈₆	C₂³	1	1	yes	characteristic
191	C₂×Q₈×D₄₃	—	2	4	no	—
192	C₂×Q₈×D₄₃	—	4	2	no	—
193	C₂×Q₈×D₄₃	—	4	2	no	—
194	C₂³×Dic₄₃	C₂³	1	1	yes	characteristic
195	C₂²×C₄×D₄₃	—	2	4	no	—
196	C₂²×C₄×D₄₃	—	2	4	no	—
197	C₂²×C₄×D₄₃	—	4	2	no	—
198	C₂²×C₄×D₄₃	C₂³	1	1	yes	characteristic
199	C₂²×C₄×D₄₃	C₂³	1	1	yes	characteristic
200	C₂²×C₄×D₄₃	C₂³	1	1	yes	characteristic
201	C₂²×C₄×D₄₃	C₂³	1	1	yes	characteristic
202	C₂²×C₄×D₄₃	C₂³	1	1	yes	characteristic
203	C₂²×C₄×D₄₃	C₂³	1	1	yes	characteristic
204	C₂²×C₄×D₄₃	C₂³	1	1	yes	characteristic
205	C₂²×C₄×D₄₃	C₂³	1	1	yes	characteristic
206	C₂²×C₄×D₄₃	C₂³	1	1	yes	characteristic
207	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	C₂×C₄⋊Dic₄₃	C₂³	1	1	yes	characteristic
215	C₂×C₄⋊Dic₄₃	C₂³	1	1	yes	characteristic
216	C₂×C₄⋊Dic₄₃	C₂³	1	1	yes	characteristic
217	C₂×C₄⋊Dic₄₃	C₂³	1	1	yes	characteristic
218	C₂×C₄⋊Dic₄₃	C₂³	1	1	yes	characteristic
219	C₂×C₄⋊Dic₄₃	C₂³	1	1	yes	characteristic
220	C₂×C₄⋊Dic₄₃	C₂³	1	1	yes	characteristic
221	C₂×C₄⋊Dic₄₃	C₂³	1	1	yes	characteristic
222	C₂×C₄⋊Dic₄₃	C₂³	1	1	yes	characteristic
223	C₂×Dic₄₃⋊C₄	C₂³	1	1	yes	characteristic
224	C₂×Dic₄₃⋊C₄	C₂³	1	1	yes	characteristic
225	C₂×Dic₄₃⋊C₄	C₂³	1	1	yes	characteristic
226	C₂×Dic₄₃⋊C₄	C₂³	1	1	yes	characteristic
227	C₂×Dic₄₃⋊C₄	C₂³	1	1	yes	characteristic
228	C₂×Dic₄₃⋊C₄	C₂³	1	1	yes	characteristic
229	C₂×Dic₄₃⋊C₄	C₂³	1	1	yes	characteristic
230	C₂×Dic₄₃⋊C₄	C₂³	1	1	yes	characteristic
231	C₂×Dic₄₃⋊C₄	C₂³	1	1	yes	characteristic
232	C₂×Dic₄₃⋊C₄	C₂³	1	1	yes	characteristic
233	C₂×Dic₄₃⋊C₄	C₂³	1	1	yes	characteristic
234	C₂×Dic₄₃⋊C₄	C₂³	1	1	yes	characteristic
235	C₂×Dic₄₃⋊C₄	C₂³	1	1	yes	characteristic
236	C₂×Dic₄₃⋊C₄	C₂³	1	1	yes	characteristic
237	C₂×Dic₄₃⋊C₄	C₂³	1	1	yes	characteristic
238	C₂×Dic₄₃⋊C₄	C₂³	1	1	yes	characteristic
239	C₂×Dic₄₃⋊C₄	C₂³	1	1	yes	characteristic
240	C₂×Dic₄₃⋊C₄	C₂³	1	1	yes	characteristic
241	C₄⋊C₄×D₄₃	—	2	4	no	—
242	C₄⋊C₄×D₄₃	—	2	4	no	—
243	C₄⋊C₄×D₄₃	—	2	4	no	—
244	C₄⋊C₄×D₄₃	—	2	4	no	—
245	C₄⋊C₄×D₄₃	—	2	4	no	—
246	C₄⋊C₄×D₄₃	—	4	2	no	—
247	C₄⋊C₄×D₄₃	—	4	2	no	—
248	C₄⋊C₄×D₄₃	—	4	2	no	—
249	C₄⋊C₄×D₄₃	—	4	2	no	—
250	C₂×C₂²⋊Dic₄₃	C₂³	1	1	yes	characteristic
251	C₂×C₂²⋊Dic₄₃	C₂³	1	1	yes	characteristic
252	C₂×C₂²⋊Dic₄₃	C₂³	1	1	yes	characteristic
253	C₂×C₂²⋊Dic₄₃	C₂³	1	1	yes	characteristic
254	C₂×C₂²⋊Dic₄₃	C₂³	1	1	yes	characteristic
255	C₂×C₂²⋊Dic₄₃	C₂³	1	1	yes	characteristic
256	C₂×(C₂×D₄₃)⋊C₄	C₂³	1	1	yes	characteristic
257	C₂×(C₂×D₄₃)⋊C₄	C₂³	1	1	yes	characteristic
258	C₂×(C₂×D₄₃)⋊C₄	C₂³	1	1	yes	characteristic
259	C₂×(C₂×D₄₃)⋊C₄	C₂³	1	1	yes	characteristic
260	C₂×(C₂×D₄₃)⋊C₄	C₂³	1	1	yes	characteristic
261	C₂×(C₂×D₄₃)⋊C₄	C₂³	1	1	yes	characteristic
262	C₂×(C₂×D₄₃)⋊C₄	C₂³	1	1	yes	characteristic
263	C₂×(C₂×D₄₃)⋊C₄	C₂³	1	1	yes	characteristic
264	C₂×(C₂×D₄₃)⋊C₄	C₂³	1	1	yes	characteristic
265	C₂×(C₂×D₄₃)⋊C₄	C₂³	1	1	yes	characteristic
266	C₂×(C₂×D₄₃)⋊C₄	C₂³	1	1	yes	characteristic
267	C₂×(C₂×D₄₃)⋊C₄	C₂³	1	1	yes	characteristic
268	C₂²⋊C₄×D₄₃	—	2	4	no	—
269	C₂²⋊C₄×D₄₃	—	2	4	no	—
270	C₂²⋊C₄×D₄₃	—	4	2	no	—
271	C₂²⋊C₄×D₄₃	—	4	2	no	—
272	C₂²⋊C₄×D₄₃	—	4	2	no	—
273	C₂²⋊C₄×D₄₃	Q₈	1	8	yes	complemented
274	C₂×C₄×Dic₄₃	C₂³	1	1	yes	characteristic
275	C₂×C₄×Dic₄₃	C₂³	1	1	yes	characteristic
276	C₂×C₄×Dic₄₃	C₂³	1	1	yes	characteristic
277	C₂×C₄×Dic₄₃	C₂³	1	1	yes	characteristic
278	C₂×C₄×Dic₄₃	C₂³	1	1	yes	characteristic
279	C₂×C₄×Dic₄₃	C₂³	1	1	yes	characteristic
280	C₂×C₄×Dic₄₃	C₂³	1	1	yes	characteristic
281	C₂×C₄×Dic₄₃	C₂³	1	1	yes	characteristic
282	C₂×C₄×Dic₄₃	C₂³	1	1	yes	characteristic
283	C₂×C₄×Dic₄₃	C₂³	1	1	yes	characteristic
284	C₂×C₄×Dic₄₃	C₂³	1	1	yes	characteristic
285	C₂×C₄×Dic₄₃	C₂³	1	1	yes	characteristic
286	C₄²×D₄₃	—	2	4	no	—
287	C₄²×D₄₃	—	2	4	no	—
288	C₄²×D₄₃	—	4	2	no	—
289	C₄²×D₄₃	—	4	2	no	—
290	C₄₃⋊#95	C₂³	1	1	yes	characteristic
291	C₄₃⋊#95	C₂³	1	1	yes	characteristic
292	C₄₃⋊#95	C₂³	1	1	yes	characteristic
293	C₄₃⋊#95	C₂³	1	1	yes	characteristic
294	C₄₃⋊#95	C₂³	1	1	yes	characteristic
295	C₄₃⋊#95	C₂³	1	1	yes	characteristic
296	C₄₃⋊#95	C₂³	1	1	yes	characteristic
297	C₄₃⋊#95	C₂³	1	1	yes	characteristic
298	C₄₃⋊#95	C₂³	1	1	yes	characteristic
299	C₄₃⋊#95	C₂³	1	1	yes	characteristic
300	C₄₃⋊#95	C₂³	1	1	yes	characteristic
301	C₄₃⋊#95	C₂³	1	1	yes	characteristic
302	C₄₃⋊#95	C₂³	1	1	yes	characteristic
303	C₄₃⋊#95	C₂³	1	1	yes	characteristic
304	C₄₃⋊#95	C₂³	1	1	yes	characteristic
305	C₄₃⋊#95	C₂³	1	1	yes	characteristic
306	C₄₃⋊#95	C₂³	1	1	yes	characteristic
307	C₄₃⋊#95	C₂³	1	1	yes	characteristic
308	C₄₃⋊#95	C₂³	1	1	yes	characteristic
309	C₄₃⋊#95	C₂³	1	1	yes	characteristic
310	C₄₃⋊#95	C₂³	1	1	yes	characteristic
311	C₄₃⋊#95	C₂³	1	1	yes	characteristic
312	C₄₃⋊#95	C₂³	1	1	yes	characteristic
313	C₄₃⋊#95	C₂³	1	1	yes	characteristic
314	C₄₃⋊#95	C₂³	1	1	yes	characteristic
315	C₄₃⋊#95	C₂³	1	1	yes	characteristic
316	C₄₃⋊#95	C₂³	1	1	yes	characteristic
317	C₄₃⋊#95	C₂³	1	1	yes	characteristic
318	C₄₃⋊#95	C₂³	1	1	yes	characteristic
319	C₄₃⋊#95	C₂³	1	1	yes	characteristic
320	C₄₃⋊#95	C₂³	1	1	yes	characteristic
321	C₄₃⋊#95	C₂³	1	1	yes	characteristic
322	C₄₃⋊#95	C₂³	1	1	yes	characteristic
323	C₄₃⋊#95	C₂³	1	1	yes	characteristic
324	C₄₃⋊#95	C₂³	1	1	yes	characteristic
325	C₄₃⋊#95	C₂³	1	1	yes	characteristic
326	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	C₂²×Q₈×C₄₃	C₂³	1	1	yes	characteristic
333	C₂³×C₄×C₄₃	C₂³	1	1	yes	characteristic
334	C₂×C₄⋊C₄×C₄₃	C₂³	1	1	yes	characteristic
335	C₂×C₄⋊C₄×C₄₃	C₂³	1	1	yes	characteristic
336	C₂×C₄⋊C₄×C₄₃	C₂³	1	1	yes	characteristic
337	C₂×C₄⋊C₄×C₄₃	C₂³	1	1	yes	characteristic
338	C₂×C₄⋊C₄×C₄₃	C₂³	1	1	yes	characteristic
339	C₂×C₄⋊C₄×C₄₃	C₂³	1	1	yes	characteristic
340	C₂×C₄⋊C₄×C₄₃	C₂³	1	1	yes	characteristic
341	C₂×C₄⋊C₄×C₄₃	C₂³	1	1	yes	characteristic
342	C₂×C₄⋊C₄×C₄₃	C₂³	1	1	yes	characteristic
343	C₂×C₂²⋊C₄×C₄₃	C₂³	1	1	yes	characteristic
344	C₂×C₂²⋊C₄×C₄₃	C₂³	1	1	yes	characteristic
345	C₂×C₂²⋊C₄×C₄₃	C₂³	1	1	yes	characteristic
346	C₂×C₂²⋊C₄×C₄₃	C₂³	1	1	yes	characteristic
347	C₂×C₂²⋊C₄×C₄₃	C₂³	1	1	yes	characteristic
348	C₂×C₂²⋊C₄×C₄₃	C₂³	1	1	yes	characteristic
349	C₂×C₄²×C₄₃	C₂³	1	1	yes	characteristic
350	C₂×C₄²×C₄₃	C₂³	1	1	yes	characteristic
351	C₂×C₄²×C₄₃	C₂³	1	1	yes	characteristic
352	C₂×C₄²×C₄₃	C₂³	1	1	yes	characteristic
353	#95×C₄₃	C₂³	1	1	yes	characteristic
354	#95×C₄₃	C₂³	1	1	yes	characteristic
355	#95×C₄₃	C₂³	1	1	yes	characteristic
356	#95×C₄₃	C₂³	1	1	yes	characteristic
357	#95×C₄₃	C₂³	1	1	yes	characteristic
358	#95×C₄₃	C₂³	1	1	yes	characteristic
359	#95×C₄₃	C₂³	1	1	yes	characteristic
360	#95×C₄₃	C₂³	1	1	yes	characteristic
361	#95×C₄₃	C₂³	1	1	yes	characteristic
362	#95×C₄₃	C₂³	1	1	yes	characteristic
363	#95×C₄₃	C₂³	1	1	yes	characteristic
364	#95×C₄₃	C₂³	1	1	yes	characteristic
365	#95×C₄₃	C₂³	1	1	yes	characteristic
366	#95×C₄₃	C₂³	1	1	yes	characteristic
367	C₂⁴×C₄₃	C₂⁴	1	1	yes	characteristic
368	C₂³×D₄₃	—	2	2	no	—
369	C₂³×D₄₃	—	2	2	no	—
370	C₂³×D₄₃	—	2	2	no	—
371	C₂³×D₄₃	—	2	2	no	—
372	C₂³×D₄₃	—	2	2	no	—
373	C₂³×D₄₃	—	2	2	no	—
374	C₂³×D₄₃	C₂×Q₈	1	4	yes	—
375	C₂³×D₄₃	C₂⁴	1	1	yes	characteristic
376	C₂³×D₄₃	C₂⁴	1	1	yes	characteristic
377	C₂×Q₈×C₄₃	—	2	2	no	—
378	C₂×Q₈×C₄₃	—	4	1	no	—
379	C₂×Q₈×C₄₃	—	4	1	no	—
380	C₂²×C₄×C₄₃	—	2	2	no	—
381	C₂²×C₄×C₄₃	—	2	2	no	—
382	C₂²×C₄×C₄₃	—	4	1	no	—
383	C₂²×C₄×C₄₃	C₂⁴	1	1	yes	characteristic
384	C₂²×C₄×C₄₃	C₂⁴	1	1	yes	characteristic
385	C₂²×C₄×C₄₃	C₂⁴	1	1	yes	characteristic
386	C₂²×C₄×C₄₃	C₂⁴	1	1	yes	characteristic
387	C₂²×C₄×C₄₃	C₂⁴	1	1	yes	characteristic
388	C₂²×C₄×C₄₃	C₂⁴	1	1	yes	characteristic
389	C₂²×C₄×C₄₃	C₂⁴	1	1	yes	characteristic
390	C₂²×C₄×C₄₃	C₂⁴	1	1	yes	characteristic
391	C₂²×C₄×C₄₃	C₂⁴	1	1	yes	characteristic
392	C₂²×C₄×C₄₃	C₂⁴	1	1	yes	characteristic
393	C₂²×C₄×C₄₃	C₂⁴	1	1	yes	characteristic
394	C₂²×C₄×C₄₃	C₂⁴	1	1	yes	characteristic
395	C₂²×C₄×C₄₃	C₂⁴	1	1	yes	characteristic
396	C₂²×C₄×C₄₃	C₂⁴	1	1	yes	characteristic
397	C₂²×Dic₄₃	—	2	2	no	—
398	C₂²×Dic₄₃	—	2	2	no	—
399	C₂²×Dic₄₃	—	4	1	no	—
400	C₂²×Dic₄₃	C₂⁴	1	1	yes	characteristic
401	C₂²×Dic₄₃	C₂⁴	1	1	yes	characteristic
402	C₂²×Dic₄₃	C₂⁴	1	1	yes	characteristic
403	C₂²×Dic₄₃	C₂⁴	1	1	yes	characteristic
404	C₂²×Dic₄₃	C₂⁴	1	1	yes	characteristic
405	C₂²×Dic₄₃	C₂⁴	1	1	yes	characteristic
406	C₂²×Dic₄₃	C₂⁴	1	1	yes	characteristic
407	C₂²×Dic₄₃	C₂⁴	1	1	yes	characteristic
408	C₂²×Dic₄₃	C₂⁴	1	1	yes	characteristic
409	C₂²×Dic₄₃	C₂⁴	1	1	yes	characteristic
410	C₂²×Dic₄₃	C₂⁴	1	1	yes	characteristic
411	C₂²×Dic₄₃	C₂⁴	1	1	yes	characteristic
412	C₂²×Dic₄₃	C₂⁴	1	1	yes	characteristic
413	C₂²×Dic₄₃	C₂⁴	1	1	yes	characteristic
414	Q₈×D₄₃	—	4	16	no	—
415	C₂×C₄×D₄₃	—	2	2	no	—
416	C₂×C₄×D₄₃	—	2	2	no	—
417	C₂×C₄×D₄₃	—	2	2	no	—
418	C₂×C₄×D₄₃	—	2	2	no	—
419	C₂×C₄×D₄₃	—	2	2	no	—
420	C₂×C₄×D₄₃	—	2	2	no	—
421	C₂×C₄×D₄₃	—	2	2	no	—
422	C₂×C₄×D₄₃	—	2	2	no	—
423	C₂×C₄×D₄₃	—	2	2	no	—
424	C₂×C₄×D₄₃	—	2	2	no	—
425	C₂×C₄×D₄₃	—	2	2	no	—
426	C₂×C₄×D₄₃	—	2	2	no	—
427	C₂×C₄×D₄₃	—	2	2	no	—
428	C₂×C₄×D₄₃	—	2	2	no	—
429	C₂×C₄×D₄₃	—	2	2	no	—
430	C₂×C₄×D₄₃	—	2	2	no	—
431	C₂×C₄×D₄₃	—	2	2	no	—
432	C₂×C₄×D₄₃	—	2	2	no	—
433	C₂×C₄×D₄₃	—	2	2	no	—
434	C₂×C₄×D₄₃	—	2	2	no	—
435	C₂×C₄×D₄₃	—	2	2	no	—
436	C₂×C₄×D₄₃	—	2	2	no	—
437	C₂×C₄×D₄₃	—	2	2	no	—
438	C₂×C₄×D₄₃	—	2	2	no	—
439	C₂×C₄×D₄₃	—	2	2	no	—
440	C₂×C₄×D₄₃	—	2	2	no	—
441	C₂×C₄×D₄₃	—	2	2	no	—
442	C₂×C₄×D₄₃	—	2	2	no	—
443	C₂×C₄×D₄₃	—	2	2	no	—
444	C₂×C₄×D₄₃	—	2	2	no	—
445	C₂×C₄×D₄₃	—	2	2	no	—
446	C₂×C₄×D₄₃	—	2	2	no	—
447	C₂×C₄×D₄₃	—	2	2	no	—
448	C₂×C₄×D₄₃	—	2	2	no	—
449	C₂×C₄×D₄₃	—	2	2	no	—
450	C₂×C₄×D₄₃	—	2	2	no	—
451	C₂×C₄×D₄₃	—	2	2	no	—
452	C₂×C₄×D₄₃	—	2	2	no	—
453	C₂×C₄×D₄₃	—	2	2	no	—
454	C₂×C₄×D₄₃	—	2	2	no	—
455	C₂×C₄×D₄₃	—	4	1	no	—
456	C₂×C₄×D₄₃	—	4	1	no	—
457	C₂×C₄×D₄₃	—	4	16	no	—
458	C₂×C₄×D₄₃	C₂×Q₈	1	4	yes	—
459	C₂×C₄×D₄₃	C₂×Q₈	1	4	yes	—
460	C₂×C₄×D₄₃	#41	1	4	yes	—
461	C₂×C₄×D₄₃	#41	1	4	yes	—
462	C₂×C₄×D₄₃	#41	1	4	yes	—
463	C₂×C₄×D₄₃	#41	1	4	yes	—
464	C₂×Dic₈₆	—	2	2	no	—
465	C₂×Dic₈₆	—	2	2	no	—
466	C₂×Dic₈₆	—	2	2	no	—
467	C₂×Dic₈₆	—	4	1	no	—
468	C₂×Dic₈₆	—	4	1	no	—
469	C₂×Dic₈₆	—	4	1	no	—
470	C₂×Dic₈₆	—	4	1	no	—
471	C₂×Dic₈₆	—	4	1	no	—
472	C₂×Dic₈₆	—	4	1	no	—
473	C₄⋊C₄×C₄₃	—	2	2	no	—
474	C₄⋊C₄×C₄₃	—	2	2	no	—
475	C₄⋊C₄×C₄₃	—	2	2	no	—
476	C₄⋊C₄×C₄₃	—	2	2	no	—
477	C₄⋊C₄×C₄₃	—	2	2	no	—
478	C₄⋊C₄×C₄₃	—	4	1	no	—
479	C₄⋊C₄×C₄₃	—	4	1	no	—
480	C₄⋊C₄×C₄₃	—	4	1	no	—
481	C₄⋊C₄×C₄₃	—	4	1	no	—
482	C₂²⋊C₄×C₄₃	—	2	2	no	—
483	C₂²⋊C₄×C₄₃	—	2	2	no	—
484	C₂²⋊C₄×C₄₃	—	4	1	no	—
485	C₂²⋊C₄×C₄₃	—	4	1	no	—
486	C₂²⋊C₄×C₄₃	—	4	1	no	—
487	C₂²⋊C₄×C₄₃	C₂×Q₈	1	4	yes	complemented
488	C₄²×C₄₃	—	2	2	no	—
489	C₄²×C₄₃	—	2	2	no	—
490	C₄²×C₄₃	—	4	1	no	—
491	C₄²×C₄₃	—	4	1	no	—
492	C₂²⋊Dic₄₃	—	2	2	no	—
493	C₂²⋊Dic₄₃	—	2	2	no	—
494	C₂²⋊Dic₄₃	—	4	1	no	—
495	C₂²⋊Dic₄₃	—	4	1	no	—
496	C₂²⋊Dic₄₃	—	4	1	no	—
497	C₂²⋊Dic₄₃	C₂×Q₈	1	4	yes	complemented
498	(C₂×D₄₃)⋊C₄	—	2	2	no	—
499	(C₂×D₄₃)⋊C₄	—	2	2	no	—
500	(C₂×D₄₃)⋊C₄	—	2	2	no	—
501	(C₂×D₄₃)⋊C₄	—	2	2	no	—
502	(C₂×D₄₃)⋊C₄	—	4	1	no	—
503	(C₂×D₄₃)⋊C₄	—	4	1	no	—
504	(C₂×D₄₃)⋊C₄	—	4	1	no	—
505	(C₂×D₄₃)⋊C₄	—	4	1	no	—
506	(C₂×D₄₃)⋊C₄	—	4	1	no	—
507	(C₂×D₄₃)⋊C₄	—	4	1	no	—
508	(C₂×D₄₃)⋊C₄	C₂×Q₈	1	4	yes	complemented
509	(C₂×D₄₃)⋊C₄	C₂×Q₈	1	4	yes	complemented
510	C₄⋊Dic₄₃	—	2	2	no	—
511	C₄⋊Dic₄₃	—	2	2	no	—
512	C₄⋊Dic₄₃	—	2	2	no	—
513	C₄⋊Dic₄₃	—	2	2	no	—
514	C₄⋊Dic₄₃	—	2	2	no	—
515	C₄⋊Dic₄₃	—	4	1	no	—
516	C₄⋊Dic₄₃	—	4	1	no	—
517	C₄⋊Dic₄₃	—	4	1	no	—
518	C₄⋊Dic₄₃	—	4	1	no	—
519	Dic₄₃⋊C₄	—	2	2	no	—
520	Dic₄₃⋊C₄	—	2	2	no	—
521	Dic₄₃⋊C₄	—	2	2	no	—
522	Dic₄₃⋊C₄	—	2	2	no	—
523	Dic₄₃⋊C₄	—	2	2	no	—
524	Dic₄₃⋊C₄	—	2	2	no	—
525	Dic₄₃⋊C₄	—	2	2	no	—
526	Dic₄₃⋊C₄	—	2	2	no	—
527	Dic₄₃⋊C₄	—	2	2	no	—
528	Dic₄₃⋊C₄	—	2	2	no	—
529	Dic₄₃⋊C₄	—	4	1	no	—
530	Dic₄₃⋊C₄	—	4	1	no	—
531	Dic₄₃⋊C₄	—	4	1	no	—
532	Dic₄₃⋊C₄	—	4	1	no	—
533	Dic₄₃⋊C₄	—	4	1	no	—
534	Dic₄₃⋊C₄	—	4	1	no	—
535	Dic₄₃⋊C₄	—	4	1	no	—
536	Dic₄₃⋊C₄	—	4	1	no	—
537	C₄×Dic₄₃	—	2	2	no	—
538	C₄×Dic₄₃	—	2	2	no	—
539	C₄×Dic₄₃	—	2	2	no	—
540	C₄×Dic₄₃	—	2	2	no	—
541	C₄×Dic₄₃	—	2	2	no	—
542	C₄×Dic₄₃	—	2	2	no	—
543	C₄×Dic₄₃	—	4	1	no	—
544	C₄×Dic₄₃	—	4	1	no	—
545	C₄×Dic₄₃	—	4	1	no	—
546	C₄×Dic₄₃	—	4	1	no	—
547	C₄×Dic₄₃	—	4	1	no	—
548	C₄×Dic₄₃	—	4	1	no	—
549	C₂³×C₄₃	—	2	1	no	—
550	C₂³×C₄₃	—	2	1	no	—
551	C₂³×C₄₃	—	2	1	no	—
552	C₂³×C₄₃	—	2	1	no	—
553	C₂³×C₄₃	—	2	1	no	—
554	C₂³×C₄₃	—	2	1	no	—
555	C₂³×C₄₃	C₂²×Q₈	1	2	yes	—
556	C₂³×C₄₃	C₂⁵	1	1	yes	characteristic
557	C₂²×D₄₃	—	2	1	no	—
558	C₂²×D₄₃	—	2	1	no	—
559	C₂²×D₄₃	—	2	1	no	—
560	C₂²×D₄₃	—	2	1	no	—
561	C₂²×D₄₃	—	2	1	no	—
562	C₂²×D₄₃	—	2	1	no	—
563	C₂²×D₄₃	—	2	8	no	—
564	C₂²×D₄₃	—	2	8	no	—
565	C₂²×D₄₃	—	2	8	no	—
566	C₂²×D₄₃	—	4	4	no	—
567	C₂²×D₄₃	—	4	4	no	—
568	C₂²×D₄₃	—	4	4	no	—
569	C₂²×D₄₃	—	4	4	no	—
570	C₂²×D₄₃	C₂²×Q₈	1	2	yes	—
571	C₂²×D₄₃	C₂²×Q₈	1	2	yes	—
572	C₂²×D₄₃	C₂×#41	1	2	yes	—
573	C₂²×D₄₃	C₂×#41	1	2	yes	—
574	C₂²×D₄₃	C₂×#41	1	2	yes	—
575	C₂²×D₄₃	C₂×#41	1	2	yes	—
576	C₂²×D₄₃	H(5,𝔽₂)	1	2	yes	—
577	C₂²×D₄₃	H(5,𝔽₂)	1	2	yes	—
578	Q₈×C₄₃	—	4	4	no	—
579	C₂×C₄×C₄₃	—	2	1	no	—
580	C₂×C₄×C₄₃	—	2	1	no	—
581	C₂×C₄×C₄₃	—	2	1	no	—
582	C₂×C₄×C₄₃	—	2	1	no	—
583	C₂×C₄×C₄₃	—	2	1	no	—
584	C₂×C₄×C₄₃	—	2	1	no	—
585	C₂×C₄×C₄₃	—	2	1	no	—
586	C₂×C₄×C₄₃	—	2	1	no	—
587	C₂×C₄×C₄₃	—	2	1	no	—
588	C₂×C₄×C₄₃	—	2	1	no	—
589	C₂×C₄×C₄₃	—	2	1	no	—
590	C₂×C₄×C₄₃	—	2	1	no	—
591	C₂×C₄×C₄₃	—	2	1	no	—
592	C₂×C₄×C₄₃	—	2	1	no	—
593	C₂×C₄×C₄₃	—	2	1	no	—
594	C₂×C₄×C₄₃	—	2	1	no	—
595	C₂×C₄×C₄₃	—	2	1	no	—
596	C₂×C₄×C₄₃	—	2	1	no	—
597	C₂×C₄×C₄₃	—	2	1	no	—
598	C₂×C₄×C₄₃	—	2	1	no	—
599	C₂×C₄×C₄₃	—	2	1	no	—
600	C₂×C₄×C₄₃	—	2	1	no	—
601	C₂×C₄×C₄₃	—	2	1	no	—
602	C₂×C₄×C₄₃	—	2	1	no	—
603	C₂×C₄×C₄₃	—	2	1	no	—
604	C₂×C₄×C₄₃	—	2	1	no	—
605	C₂×C₄×C₄₃	—	2	1	no	—
606	C₂×C₄×C₄₃	—	2	1	no	—
607	C₂×C₄×C₄₃	—	2	1	no	—
608	C₂×C₄×C₄₃	—	2	1	no	—
609	C₂×C₄×C₄₃	—	2	1	no	—
610	C₂×C₄×C₄₃	—	2	1	no	—
611	C₂×C₄×C₄₃	—	2	1	no	—
612	C₂×C₄×C₄₃	—	2	1	no	—
613	C₂×C₄×C₄₃	—	2	1	no	—
614	C₂×C₄×C₄₃	—	2	1	no	—
615	C₂×C₄×C₄₃	—	4	4	no	—
616	C₂×C₄×C₄₃	C₂²×Q₈	1	2	yes	—
617	C₂×C₄×C₄₃	C₂²×Q₈	1	2	yes	—
618	C₂×C₄×C₄₃	C₂×#41	1	2	yes	—
619	C₂×C₄×C₄₃	C₂×#41	1	2	yes	—
620	C₂×C₄×C₄₃	C₂×#41	1	2	yes	—
621	C₂×C₄×C₄₃	C₂×#41	1	2	yes	—
622	C₂×Dic₄₃	—	2	1	no	—
623	C₂×Dic₄₃	—	2	1	no	—
624	C₂×Dic₄₃	—	2	1	no	—
625	C₂×Dic₄₃	—	2	1	no	—
626	C₂×Dic₄₃	—	2	1	no	—
627	C₂×Dic₄₃	—	2	1	no	—
628	C₂×Dic₄₃	—	2	1	no	—
629	C₂×Dic₄₃	—	2	1	no	—
630	C₂×Dic₄₃	—	2	1	no	—
631	C₂×Dic₄₃	—	2	1	no	—
632	C₂×Dic₄₃	—	2	1	no	—
633	C₂×Dic₄₃	—	2	1	no	—
634	C₂×Dic₄₃	—	2	1	no	—
635	C₂×Dic₄₃	—	2	1	no	—
636	C₂×Dic₄₃	—	2	1	no	—
637	C₂×Dic₄₃	—	2	1	no	—
638	C₂×Dic₄₃	—	2	1	no	—
639	C₂×Dic₄₃	—	2	1	no	—
640	C₂×Dic₄₃	—	2	1	no	—
641	C₂×Dic₄₃	—	2	1	no	—
642	C₂×Dic₄₃	—	2	1	no	—
643	C₂×Dic₄₃	—	2	1	no	—
644	C₂×Dic₄₃	—	2	1	no	—
645	C₂×Dic₄₃	—	2	1	no	—
646	C₂×Dic₄₃	—	2	1	no	—
647	C₂×Dic₄₃	—	2	1	no	—
648	C₂×Dic₄₃	—	2	1	no	—
649	C₂×Dic₄₃	—	2	1	no	—
650	C₂×Dic₄₃	—	2	1	no	—
651	C₂×Dic₄₃	—	2	1	no	—
652	C₂×Dic₄₃	—	2	1	no	—
653	C₂×Dic₄₃	—	2	1	no	—
654	C₂×Dic₄₃	—	2	1	no	—
655	C₂×Dic₄₃	—	2	1	no	—
656	C₂×Dic₄₃	—	2	1	no	—
657	C₂×Dic₄₃	—	2	1	no	—
658	C₂×Dic₄₃	—	4	4	no	—
659	C₂×Dic₄₃	C₂²×Q₈	1	2	yes	—
660	C₂×Dic₄₃	C₂²×Q₈	1	2	yes	—
661	C₂×Dic₄₃	C₂×#41	1	2	yes	—
662	C₂×Dic₄₃	C₂×#41	1	2	yes	—
663	C₂×Dic₄₃	C₂×#41	1	2	yes	—
664	C₂×Dic₄₃	C₂×#41	1	2	yes	—
665	C₄×D₄₃	—	2	8	no	—
666	C₄×D₄₃	—	2	8	no	—
667	C₄×D₄₃	—	2	8	no	—
668	C₄×D₄₃	—	2	8	no	—
669	C₄×D₄₃	—	2	8	no	—
670	C₄×D₄₃	—	2	8	no	—
671	C₄×D₄₃	—	4	4	no	—
672	C₄×D₄₃	—	4	4	no	—
673	C₄×D₄₃	—	4	4	no	—
674	C₄×D₄₃	—	4	4	no	—
675	C₄×D₄₃	—	4	4	no	—
676	C₄×D₄₃	—	4	4	no	—
677	C₄×D₄₃	—	4	4	no	—
678	C₄×D₄₃	—	4	4	no	—
679	C₄×D₄₃	—	4	4	no	—
680	C₄×D₄₃	—	4	4	no	—
681	Dic₈₆	—	4	4	no	—
682	Dic₈₆	—	4	4	no	—
683	Dic₈₆	—	4	4	no	—
684	C₂×#2574	—	43	1	no	maximal, Sylow
685	C₂²×C₄₃	—	2	2	no	—
686	C₂²×C₄₃	—	2	2	no	—
687	C₂²×C₄₃	—	2	2	no	—
688	C₂²×C₄₃	—	4	1	no	—
689	C₂²×C₄₃	—	4	1	no	—
690	C₂²×C₄₃	—	4	1	no	—
691	C₂²×C₄₃	—	4	1	no	—
692	C₂²×C₄₃	C₂³×Q₈	1	1	yes	characteristic
693	C₂²×C₄₃	C₂²×#41	1	1	yes	characteristic
694	C₂²×C₄₃	C₂²×#41	1	1	yes	characteristic
695	C₂²×C₄₃	C₂²×#41	1	1	yes	characteristic
696	C₂²×C₄₃	C₂²×#41	1	1	yes	characteristic
697	C₂²×C₄₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
698	C₂²×C₄₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
699	C₂×D₄₃	—	2	2	no	—
700	C₂×D₄₃	—	2	2	no	—
701	C₂×D₄₃	—	2	2	no	—
702	C₂×D₄₃	—	4	1	no	—
703	C₂×D₄₃	—	4	1	no	—
704	C₂×D₄₃	—	4	1	no	—
705	C₂×D₄₃	—	4	1	no	—
706	C₂×D₄₃	—	4	16	no	—
707	C₂×D₄₃	#529	1	4	yes	—
708	C₂×D₄₃	#533	1	4	yes	—
709	C₂×D₄₃	#538	1	4	yes	—
710	C₂×D₄₃	#551	1	4	yes	—
711	C₂×D₄₃	#554	1	4	yes	—
712	C₂×D₄₃	#554	1	4	yes	—
713	C₂×D₄₃	#555	1	4	yes	—
714	C₄×C₄₃	—	2	2	no	—
715	C₄×C₄₃	—	2	2	no	—
716	C₄×C₄₃	—	2	2	no	—
717	C₄×C₄₃	—	2	2	no	—
718	C₄×C₄₃	—	2	2	no	—
719	C₄×C₄₃	—	2	2	no	—
720	C₄×C₄₃	—	4	1	no	—
721	C₄×C₄₃	—	4	1	no	—
722	C₄×C₄₃	—	4	1	no	—
723	C₄×C₄₃	—	4	1	no	—
724	C₄×C₄₃	—	4	1	no	—
725	C₄×C₄₃	—	4	1	no	—
726	C₄×C₄₃	—	4	1	no	—
727	C₄×C₄₃	—	4	1	no	—
728	Dic₄₃	—	2	2	no	—
729	Dic₄₃	—	2	2	no	—
730	Dic₄₃	—	2	2	no	—
731	Dic₄₃	—	2	2	no	—
732	Dic₄₃	—	2	2	no	—
733	Dic₄₃	—	2	2	no	—
734	Dic₄₃	—	4	1	no	—
735	Dic₄₃	—	4	1	no	—
736	Dic₄₃	—	4	1	no	—
737	Dic₄₃	—	4	1	no	—
738	Dic₄₃	—	4	1	no	—
739	Dic₄₃	—	4	1	no	—
740	Dic₄₃	—	4	1	no	—
741	Dic₄₃	—	4	1	no	—
742	#2574	—	43	1	no	—
743	#2574	—	43	1	no	—
744	#2574	—	43	1	no	—
745	#2574	—	43	1	no	—
746	#2574	—	43	1	no	—
747	#2574	—	43	1	no	—
748	#2574	—	43	1	no	—
749	#2574	—	43	1	no	—
750	#2574	—	43	1	no	—
751	#2574	—	43	1	no	—
752	#2574	—	43	1	no	—
753	#2574	—	43	1	no	—
754	#2574	—	43	1	no	—
755	#2574	—	43	1	no	—
756	#2574	—	43	1	no	—
757	#2574	D₄₃	1	1	yes	characteristic, direct product factor
758	C₂×#398	—	43	1	no	—
759	C₂×#396	—	43	1	no	—
760	C₂×#395	—	43	1	no	—
761	C₂×#393	—	43	1	no	—
762	C₂×#391	—	43	1	no	—
763	C₂×#388	—	43	1	no	—
764	C₂×#388	—	43	1	no	—
765	C₂×#387	—	43	1	no	—
766	C₂×#387	—	43	1	no	—
767	C₂×#387	—	43	1	no	—
768	C₂×#385	—	43	1	no	—
769	C₂×#382	—	43	1	no	—
770	C₂×#380	—	43	1	no	—
771	C₂×C₄×C₄⋊C₄	—	43	1	no	—
772	C₂×C₄×C₂²⋊C₄	—	43	1	no	—
773	C₂×C₄₃	—	4	2	no	—
774	C₂×C₄₃	C₂×#529	1	1	yes	characteristic
775	C₂×C₄₃	C₂×#533	1	1	yes	characteristic
776	C₂×C₄₃	C₂×#538	1	1	yes	characteristic
777	C₂×C₄₃	C₂×#551	1	1	yes	characteristic
778	C₂×C₄₃	C₂×#554	1	1	yes	characteristic
779	C₂×C₄₃	C₂×#554	1	1	yes	characteristic
780	C₂×C₄₃	C₂×#555	1	1	yes	characteristic
781	D₄₃	—	4	2	no	—
782	D₄₃	#2574	1	8	yes	direct product factor
783	C₂³×Q₈	—	43	1	no	—
784	C₂⁴×C₄	—	43	1	no	—
785	C₂²×C₄⋊C₄	—	43	1	no	—
786	C₂²×C₄⋊C₄	—	43	1	no	—
787	C₂²×C₄⋊C₄	—	43	1	no	—
788	C₂²×C₄⋊C₄	—	43	1	no	—
789	C₂²×C₄⋊C₄	—	43	1	no	—
790	C₂²×C₄⋊C₄	—	43	1	no	—
791	C₂²×C₄⋊C₄	—	43	1	no	—
792	C₂²×C₄⋊C₄	—	43	1	no	—
793	C₂²×C₄⋊C₄	—	43	1	no	—
794	C₂²×C₂²⋊C₄	—	43	1	no	—
795	C₂²×C₂²⋊C₄	—	43	1	no	—
796	C₂²×C₂²⋊C₄	—	43	1	no	—
797	C₂²×C₂²⋊C₄	—	43	1	no	—
798	C₂²×C₂²⋊C₄	—	43	1	no	—
799	C₂²×C₂²⋊C₄	—	43	1	no	—
800	C₂²×C₄²	—	43	1	no	—
801	C₂²×C₄²	—	43	1	no	—
802	C₂²×C₄²	—	43	1	no	—
803	C₂²×C₄²	—	43	1	no	—
804	#398	—	43	1	no	—
805	#398	—	43	1	no	—
806	#398	—	43	1	no	—
807	#398	—	43	1	no	—
808	#398	—	43	1	no	—
809	#398	—	43	1	no	—
810	#398	—	43	1	no	—
811	#398	C₂×D₄₃	1	1	yes	characteristic, complemented
812	#396	—	43	1	no	—
813	#396	—	43	1	no	—
814	#396	—	43	1	no	—
815	#396	—	43	1	no	—
816	#396	—	43	1	no	—
817	#396	—	43	1	no	—
818	#396	—	43	1	no	—
819	#396	C₂×D₄₃	1	1	yes	characteristic
820	#395	—	43	1	no	—
821	#395	—	43	1	no	—
822	#395	—	43	1	no	—
823	#395	—	43	1	no	—
824	#395	—	43	1	no	—
825	#395	—	43	1	no	—
826	#395	—	43	1	no	—
827	#395	C₂×D₄₃	1	1	yes	characteristic, complemented
828	#393	—	43	1	no	—
829	#393	—	43	1	no	—
830	#393	—	43	1	no	—
831	#393	—	43	1	no	—
832	#393	—	43	1	no	—
833	#393	—	43	1	no	—
834	#393	—	43	1	no	—
835	#393	C₂×D₄₃	1	1	yes	characteristic
836	#391	—	43	1	no	—
837	#391	—	43	1	no	—
838	#391	—	43	1	no	—
839	#391	—	43	1	no	—
840	#391	—	43	1	no	—
841	#391	—	43	1	no	—
842	#391	—	43	1	no	—
843	#391	C₂×D₄₃	1	1	yes	characteristic, complemented
844	#388	—	43	1	no	—
845	#388	—	43	1	no	—
846	#388	—	43	1	no	—
847	#388	—	43	1	no	—
848	#388	—	43	1	no	—
849	#388	—	43	1	no	—
850	#388	—	43	1	no	—
851	#388	—	43	1	no	—
852	#388	—	43	1	no	—
853	#388	—	43	1	no	—
854	#388	—	43	1	no	—
855	#388	—	43	1	no	—
856	#388	—	43	1	no	—
857	#388	—	43	1	no	—
858	#388	C₂×D₄₃	1	1	yes	characteristic
859	#388	C₂×D₄₃	1	1	yes	characteristic
860	#387	—	43	1	no	—
861	#387	—	43	1	no	—
862	#387	—	43	1	no	—
863	#387	—	43	1	no	—
864	#387	—	43	1	no	—
865	#387	—	43	1	no	—
866	#387	—	43	1	no	—
867	#387	—	43	1	no	—
868	#387	—	43	1	no	—
869	#387	—	43	1	no	—
870	#387	—	43	1	no	—
871	#387	—	43	1	no	—
872	#387	—	43	1	no	—
873	#387	—	43	1	no	—
874	#387	—	43	1	no	—
875	#387	—	43	1	no	—
876	#387	—	43	1	no	—
877	#387	—	43	1	no	—
878	#387	—	43	1	no	—
879	#387	—	43	1	no	—
880	#387	—	43	1	no	—
881	#387	C₂×D₄₃	1	1	yes	characteristic, complemented
882	#387	C₂×D₄₃	1	1	yes	characteristic, complemented
883	#387	C₂×D₄₃	1	1	yes	characteristic, complemented
884	#385	—	43	1	no	—
885	#385	—	43	1	no	—
886	#385	—	43	1	no	—
887	#385	—	43	1	no	—
888	#385	—	43	1	no	—
889	#385	—	43	1	no	—
890	#385	—	43	1	no	—
891	#385	C₂×D₄₃	1	1	yes	characteristic
892	#382	—	43	1	no	—
893	#382	—	43	1	no	—
894	#382	—	43	1	no	—
895	#382	—	43	1	no	—
896	#382	—	43	1	no	—
897	#382	—	43	1	no	—
898	#382	—	43	1	no	—
899	#382	C₂×D₄₃	1	1	yes	characteristic, complemented
900	#380	—	43	1	no	—
901	#380	—	43	1	no	—
902	#380	—	43	1	no	—
903	#380	—	43	1	no	—
904	#380	—	43	1	no	—
905	#380	—	43	1	no	—
906	#380	—	43	1	no	—
907	#380	C₂×D₄₃	1	1	yes	characteristic
908	C₄×C₄⋊C₄	—	43	1	no	—
909	C₄×C₄⋊C₄	—	43	1	no	—
910	C₄×C₄⋊C₄	—	43	1	no	—
911	C₄×C₄⋊C₄	—	43	1	no	—
912	C₄×C₄⋊C₄	—	43	1	no	—
913	C₄×C₄⋊C₄	—	43	1	no	—
914	C₄×C₄⋊C₄	—	43	1	no	—
915	C₄×C₄⋊C₄	C₂×D₄₃	1	1	yes	characteristic, complemented
916	C₄×C₂²⋊C₄	—	43	1	no	—
917	C₄×C₂²⋊C₄	—	43	1	no	—
918	C₄×C₂²⋊C₄	—	43	1	no	—
919	C₄×C₂²⋊C₄	—	43	1	no	—
920	C₄×C₂²⋊C₄	—	43	1	no	—
921	C₄×C₂²⋊C₄	—	43	1	no	—
922	C₄×C₂²⋊C₄	—	43	1	no	—
923	C₄×C₂²⋊C₄	C₂×D₄₃	1	1	yes	characteristic
924	C₂×#95	—	43	1	no	—
925	C₂×#95	—	43	1	no	—
926	C₂×#95	—	43	1	no	—
927	C₂×#95	—	43	1	no	—
928	C₂×#95	—	43	1	no	—
929	C₂×#95	—	43	1	no	—
930	C₂×#95	—	43	1	no	—
931	C₂×#95	—	43	1	no	—
932	C₂×#95	—	43	1	no	—
933	C₂×#95	—	43	1	no	—
934	C₂×#95	—	43	1	no	—
935	C₂×#95	—	43	1	no	—
936	C₂×#95	—	43	1	no	—
937	C₂×#95	—	43	1	no	—
938	C₄₃	C₂×#2574	1	1	yes	characteristic, complemented, Sylow
939	C₂⁵	—	43	1	no	—
940	C₂²×Q₈	—	43	1	no	—
941	C₂²×Q₈	—	43	1	no	—
942	C₂²×Q₈	—	43	1	no	—
943	C₂²×Q₈	—	86	4	no	—
944	C₂²×Q₈	—	172	2	no	—
945	C₂²×Q₈	—	172	2	no	—
946	C₂²×Q₈	C₂²×D₄₃	1	1	yes	characteristic
947	C₂³×C₄	—	43	1	no	—
948	C₂³×C₄	—	43	1	no	—
949	C₂³×C₄	—	43	1	no	—
950	C₂³×C₄	—	43	1	no	—
951	C₂³×C₄	—	43	1	no	—
952	C₂³×C₄	—	43	1	no	—
953	C₂³×C₄	—	43	1	no	—
954	C₂³×C₄	—	43	1	no	—
955	C₂³×C₄	—	43	1	no	—
956	C₂³×C₄	—	43	1	no	—
957	C₂³×C₄	—	43	1	no	—
958	C₂³×C₄	—	43	1	no	—
959	C₂³×C₄	—	43	1	no	—
960	C₂³×C₄	—	43	1	no	—
961	C₂³×C₄	—	43	1	no	—
962	C₂³×C₄	—	43	1	no	—
963	C₂³×C₄	—	43	1	no	—
964	C₂³×C₄	—	86	4	no	—
965	C₂³×C₄	—	86	4	no	—
966	C₂³×C₄	—	172	2	no	—
967	C₂³×C₄	C₂²×D₄₃	1	1	yes	characteristic
968	C₂×C₄⋊C₄	—	43	1	no	—
969	C₂×C₄⋊C₄	—	43	1	no	—
970	C₂×C₄⋊C₄	—	43	1	no	—
971	C₂×C₄⋊C₄	—	43	1	no	—
972	C₂×C₄⋊C₄	—	43	1	no	—
973	C₂×C₄⋊C₄	—	43	1	no	—
974	C₂×C₄⋊C₄	—	43	1	no	—
975	C₂×C₄⋊C₄	—	43	1	no	—
976	C₂×C₄⋊C₄	—	43	1	no	—
977	C₂×C₄⋊C₄	—	43	1	no	—
978	C₂×C₄⋊C₄	—	43	1	no	—
979	C₂×C₄⋊C₄	—	43	1	no	—
980	C₂×C₄⋊C₄	—	43	1	no	—
981	C₂×C₄⋊C₄	—	43	1	no	—
982	C₂×C₄⋊C₄	—	43	1	no	—
983	C₂×C₄⋊C₄	—	43	1	no	—
984	C₂×C₄⋊C₄	—	43	1	no	—
985	C₂×C₄⋊C₄	—	43	1	no	—
986	C₂×C₄⋊C₄	—	43	1	no	—
987	C₂×C₄⋊C₄	—	43	1	no	—
988	C₂×C₄⋊C₄	—	43	1	no	—
989	C₂×C₄⋊C₄	—	43	1	no	—
990	C₂×C₄⋊C₄	—	43	1	no	—
991	C₂×C₄⋊C₄	—	43	1	no	—
992	C₂×C₄⋊C₄	—	43	1	no	—
993	C₂×C₄⋊C₄	—	43	1	no	—
994	C₂×C₄⋊C₄	—	43	1	no	—
995	C₂×C₄⋊C₄	—	86	4	no	—
996	C₂×C₄⋊C₄	—	86	4	no	—
997	C₂×C₄⋊C₄	—	86	4	no	—
998	C₂×C₄⋊C₄	—	86	4	no	—
999	C₂×C₄⋊C₄	—	86	4	no	—
1000	C₂×C₄⋊C₄	—	172	2	no	—
1001	C₂×C₄⋊C₄	—	172	2	no	—
1002	C₂×C₄⋊C₄	—	172	2	no	—
1003	C₂×C₄⋊C₄	—	172	2	no	—
1004	C₂×C₄⋊C₄	C₂²×D₄₃	1	1	yes	characteristic
1005	C₂×C₄⋊C₄	C₂²×D₄₃	1	1	yes	characteristic
1006	C₂×C₄⋊C₄	C₂²×D₄₃	1	1	yes	characteristic
1007	C₂×C₄⋊C₄	C₂²×D₄₃	1	1	yes	characteristic
1008	C₂×C₄⋊C₄	C₂²×D₄₃	1	1	yes	characteristic
1009	C₂×C₄⋊C₄	C₂²×D₄₃	1	1	yes	characteristic
1010	C₂×C₄⋊C₄	C₂²×D₄₃	1	1	yes	characteristic
1011	C₂×C₄⋊C₄	C₂²×D₄₃	1	1	yes	characteristic
1012	C₂×C₄⋊C₄	C₂²×D₄₃	1	1	yes	characteristic
1013	C₂×C₂²⋊C₄	—	43	1	no	—
1014	C₂×C₂²⋊C₄	—	43	1	no	—
1015	C₂×C₂²⋊C₄	—	43	1	no	—
1016	C₂×C₂²⋊C₄	—	43	8	no	—
1017	C₂×C₂²⋊C₄	—	43	1	no	—
1018	C₂×C₂²⋊C₄	—	43	1	no	—
1019	C₂×C₂²⋊C₄	—	43	1	no	—
1020	C₂×C₂²⋊C₄	—	43	1	no	—
1021	C₂×C₂²⋊C₄	—	43	1	no	—
1022	C₂×C₂²⋊C₄	—	43	1	no	—
1023	C₂×C₂²⋊C₄	—	43	1	no	—
1024	C₂×C₂²⋊C₄	—	43	1	no	—
1025	C₂×C₂²⋊C₄	—	43	1	no	—
1026	C₂×C₂²⋊C₄	—	43	1	no	—
1027	C₂×C₂²⋊C₄	—	43	1	no	—
1028	C₂×C₂²⋊C₄	—	43	1	no	—
1029	C₂×C₂²⋊C₄	—	43	1	no	—
1030	C₂×C₂²⋊C₄	—	43	1	no	—
1031	C₂×C₂²⋊C₄	—	43	1	no	—
1032	C₂×C₂²⋊C₄	—	86	4	no	—
1033	C₂×C₂²⋊C₄	—	86	4	no	—
1034	C₂×C₂²⋊C₄	—	172	2	no	—
1035	C₂×C₂²⋊C₄	—	172	2	no	—
1036	C₂×C₂²⋊C₄	—	172	2	no	—
1037	C₂×C₂²⋊C₄	C₂²×D₄₃	1	1	yes	characteristic
1038	C₂×C₂²⋊C₄	C₂²×D₄₃	1	1	yes	characteristic
1039	C₂×C₂²⋊C₄	C₂²×D₄₃	1	1	yes	characteristic
1040	C₂×C₂²⋊C₄	C₂²×D₄₃	1	1	yes	characteristic
1041	C₂×C₂²⋊C₄	C₂²×D₄₃	1	1	yes	characteristic
1042	C₂×C₂²⋊C₄	C₂²×D₄₃	1	1	yes	characteristic
1043	C₂×C₄²	—	43	1	no	—
1044	C₂×C₄²	—	43	1	no	—
1045	C₂×C₄²	—	43	1	no	—
1046	C₂×C₄²	—	43	1	no	—
1047	C₂×C₄²	—	43	1	no	—
1048	C₂×C₄²	—	43	1	no	—
1049	C₂×C₄²	—	43	1	no	—
1050	C₂×C₄²	—	43	1	no	—
1051	C₂×C₄²	—	43	1	no	—
1052	C₂×C₄²	—	43	1	no	—
1053	C₂×C₄²	—	43	1	no	—
1054	C₂×C₄²	—	43	1	no	—
1055	C₂×C₄²	—	86	4	no	—
1056	C₂×C₄²	—	86	4	no	—
1057	C₂×C₄²	—	172	2	no	—
1058	C₂×C₄²	—	172	2	no	—
1059	C₂×C₄²	C₂²×D₄₃	1	1	yes	characteristic
1060	C₂×C₄²	C₂²×D₄₃	1	1	yes	characteristic
1061	C₂×C₄²	C₂²×D₄₃	1	1	yes	characteristic
1062	C₂×C₄²	C₂²×D₄₃	1	1	yes	characteristic
1063	#95	—	43	1	no	—
1064	#95	—	43	1	no	—
1065	#95	—	43	1	no	—
1066	#95	—	43	1	no	—
1067	#95	—	43	1	no	—
1068	#95	—	43	1	no	—
1069	#95	—	43	1	no	—
1070	#95	—	43	1	no	—
1071	#95	—	43	1	no	—
1072	#95	—	43	1	no	—
1073	#95	—	43	1	no	—
1074	#95	—	43	1	no	—
1075	#95	—	43	1	no	—
1076	#95	—	43	1	no	—
1077	#95	—	43	1	no	—
1078	#95	—	43	1	no	—
1079	#95	—	43	1	no	—
1080	#95	—	43	1	no	—
1081	#95	—	43	1	no	—
1082	#95	—	43	1	no	—
1083	#95	—	43	1	no	—
1084	#95	—	43	1	no	—
1085	#95	—	43	1	no	—
1086	#95	—	43	1	no	—
1087	#95	—	43	1	no	—
1088	#95	—	43	1	no	—
1089	#95	—	43	1	no	—
1090	#95	—	43	1	no	—
1091	#95	—	43	1	no	—
1092	#95	—	43	1	no	—
1093	#95	—	43	1	no	—
1094	#95	—	43	1	no	—
1095	#95	—	43	1	no	—
1096	#95	—	43	1	no	—
1097	#95	—	43	1	no	—
1098	#95	—	43	1	no	—
1099	#95	—	43	1	no	—
1100	#95	—	43	1	no	—
1101	#95	—	43	1	no	—
1102	#95	—	43	1	no	—
1103	#95	—	43	1	no	—
1104	#95	—	43	1	no	—
1105	#95	C₂²×D₄₃	1	1	yes	characteristic
1106	#95	C₂²×D₄₃	1	1	yes	characteristic
1107	#95	C₂²×D₄₃	1	1	yes	characteristic
1108	#95	C₂²×D₄₃	1	1	yes	characteristic
1109	#95	C₂²×D₄₃	1	1	yes	characteristic
1110	#95	C₂²×D₄₃	1	1	yes	characteristic
1111	#95	C₂²×D₄₃	1	1	yes	characteristic
1112	#95	C₂²×D₄₃	1	1	yes	characteristic
1113	#95	C₂²×D₄₃	1	1	yes	characteristic
1114	#95	C₂²×D₄₃	1	1	yes	characteristic
1115	#95	C₂²×D₄₃	1	1	yes	characteristic
1116	#95	C₂²×D₄₃	1	1	yes	characteristic
1117	#95	C₂²×D₄₃	1	1	yes	characteristic
1118	#95	C₂²×D₄₃	1	1	yes	characteristic
1119	C₂⁴	—	43	1	no	—
1120	C₂⁴	—	43	4	no	—
1121	C₂⁴	—	43	1	no	—
1122	C₂⁴	—	86	2	no	—
1123	C₂⁴	—	86	2	no	—
1124	C₂⁴	—	86	2	no	—
1125	C₂⁴	—	86	2	no	—
1126	C₂⁴	—	86	2	no	—
1127	C₂⁴	—	86	2	no	—
1128	C₂⁴	C₂³×D₄₃	1	1	yes	characteristic
1129	C₂×Q₈	—	2	2	no	—
1130	C₂×Q₈	—	4	1	no	—
1131	C₂×Q₈	—	4	1	no	—
1132	C₂×Q₈	—	86	2	no	—
1133	C₂×Q₈	—	86	2	no	—
1134	C₂×Q₈	—	86	2	no	—
1135	C₂×Q₈	—	172	1	no	—
1136	C₂×Q₈	—	172	1	no	—
1137	C₂×Q₈	—	172	1	no	—
1138	C₂×Q₈	—	172	1	no	—
1139	C₂×Q₈	—	172	1	no	—
1140	C₂×Q₈	—	172	1	no	—
1141	C₂×Q₈	—	172	16	no	—
1142	C₂²×C₄	—	2	2	no	—
1143	C₂²×C₄	—	2	2	no	—
1144	C₂²×C₄	—	4	1	no	—
1145	C₂²×C₄	—	43	1	no	—
1146	C₂²×C₄	—	43	1	no	—
1147	C₂²×C₄	—	43	1	no	—
1148	C₂²×C₄	—	43	1	no	—
1149	C₂²×C₄	—	43	1	no	—
1150	C₂²×C₄	—	43	1	no	—
1151	C₂²×C₄	—	43	4	no	—
1152	C₂²×C₄	—	43	4	no	—
1153	C₂²×C₄	—	43	4	no	—
1154	C₂²×C₄	—	43	4	no	—
1155	C₂²×C₄	—	43	4	no	—
1156	C₂²×C₄	—	43	4	no	—
1157	C₂²×C₄	—	43	1	no	—
1158	C₂²×C₄	—	43	1	no	—
1159	C₂²×C₄	—	43	1	no	—
1160	C₂²×C₄	—	43	1	no	—
1161	C₂²×C₄	—	43	1	no	—
1162	C₂²×C₄	—	43	1	no	—
1163	C₂²×C₄	—	43	1	no	—
1164	C₂²×C₄	—	43	1	no	—
1165	C₂²×C₄	—	86	2	no	—
1166	C₂²×C₄	—	86	2	no	—
1167	C₂²×C₄	—	86	2	no	—
1168	C₂²×C₄	—	86	2	no	—
1169	C₂²×C₄	—	86	2	no	—
1170	C₂²×C₄	—	86	2	no	—
1171	C₂²×C₄	—	86	2	no	—
1172	C₂²×C₄	—	86	2	no	—
1173	C₂²×C₄	—	86	2	no	—
1174	C₂²×C₄	—	86	2	no	—
1175	C₂²×C₄	—	86	2	no	—
1176	C₂²×C₄	—	86	2	no	—
1177	C₂²×C₄	—	86	2	no	—
1178	C₂²×C₄	—	86	2	no	—
1179	C₂²×C₄	—	86	2	no	—
1180	C₂²×C₄	—	86	2	no	—
1181	C₂²×C₄	—	86	2	no	—
1182	C₂²×C₄	—	86	2	no	—
1183	C₂²×C₄	—	86	2	no	—
1184	C₂²×C₄	—	86	2	no	—
1185	C₂²×C₄	—	86	2	no	—
1186	C₂²×C₄	—	86	2	no	—
1187	C₂²×C₄	—	86	2	no	—
1188	C₂²×C₄	—	86	2	no	—
1189	C₂²×C₄	—	86	2	no	—
1190	C₂²×C₄	—	86	2	no	—
1191	C₂²×C₄	—	86	2	no	—
1192	C₂²×C₄	—	86	2	no	—
1193	C₂²×C₄	—	86	2	no	—
1194	C₂²×C₄	—	86	2	no	—
1195	C₂²×C₄	—	86	2	no	—
1196	C₂²×C₄	—	86	2	no	—
1197	C₂²×C₄	—	86	2	no	—
1198	C₂²×C₄	—	86	2	no	—
1199	C₂²×C₄	—	86	2	no	—
1200	C₂²×C₄	—	86	2	no	—
1201	C₂²×C₄	—	86	2	no	—
1202	C₂²×C₄	—	86	2	no	—
1203	C₂²×C₄	—	86	2	no	—
1204	C₂²×C₄	—	86	2	no	—
1205	C₂²×C₄	—	86	2	no	—
1206	C₂²×C₄	—	86	2	no	—
1207	C₂²×C₄	—	172	1	no	—
1208	C₂²×C₄	—	172	1	no	—
1209	C₂²×C₄	—	172	16	no	—
1210	C₂²×C₄	—	172	1	no	—
1211	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
1212	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
1213	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
1214	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
1215	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
1216	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
1217	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
1218	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
1219	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
1220	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
1221	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
1222	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
1223	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
1224	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
1225	C₄⋊C₄	—	2	2	no	—
1226	C₄⋊C₄	—	2	2	no	—
1227	C₄⋊C₄	—	2	2	no	—
1228	C₄⋊C₄	—	2	2	no	—
1229	C₄⋊C₄	—	2	2	no	—
1230	C₄⋊C₄	—	4	1	no	—
1231	C₄⋊C₄	—	4	1	no	—
1232	C₄⋊C₄	—	4	1	no	—
1233	C₄⋊C₄	—	4	1	no	—
1234	C₄⋊C₄	—	86	2	no	—
1235	C₄⋊C₄	—	86	2	no	—
1236	C₄⋊C₄	—	86	2	no	—
1237	C₄⋊C₄	—	86	2	no	—
1238	C₄⋊C₄	—	86	2	no	—
1239	C₄⋊C₄	—	86	2	no	—
1240	C₄⋊C₄	—	86	2	no	—
1241	C₄⋊C₄	—	86	2	no	—
1242	C₄⋊C₄	—	86	2	no	—
1243	C₄⋊C₄	—	86	2	no	—
1244	C₄⋊C₄	—	86	2	no	—
1245	C₄⋊C₄	—	86	2	no	—
1246	C₄⋊C₄	—	86	2	no	—
1247	C₄⋊C₄	—	86	2	no	—
1248	C₄⋊C₄	—	86	2	no	—
1249	C₄⋊C₄	—	172	1	no	—
1250	C₄⋊C₄	—	172	1	no	—
1251	C₄⋊C₄	—	172	1	no	—
1252	C₄⋊C₄	—	172	1	no	—
1253	C₄⋊C₄	—	172	1	no	—
1254	C₄⋊C₄	—	172	1	no	—
1255	C₄⋊C₄	—	172	1	no	—
1256	C₄⋊C₄	—	172	1	no	—
1257	C₄⋊C₄	—	172	1	no	—
1258	C₄⋊C₄	—	172	1	no	—
1259	C₄⋊C₄	—	172	1	no	—
1260	C₄⋊C₄	—	172	1	no	—
1261	C₂²⋊C₄	—	2	2	no	—
1262	C₂²⋊C₄	—	2	2	no	—
1263	C₂²⋊C₄	—	4	1	no	—
1264	C₂²⋊C₄	—	4	1	no	—
1265	C₂²⋊C₄	—	4	1	no	—
1266	C₂²⋊C₄	—	43	4	no	—
1267	C₂²⋊C₄	—	43	4	no	—
1268	C₂²⋊C₄	—	43	4	no	—
1269	C₂²⋊C₄	—	86	2	no	—
1270	C₂²⋊C₄	—	86	2	no	—
1271	C₂²⋊C₄	—	86	2	no	—
1272	C₂²⋊C₄	—	86	2	no	—
1273	C₂²⋊C₄	—	86	2	no	—
1274	C₂²⋊C₄	—	86	2	no	—
1275	C₂²⋊C₄	—	172	1	no	—
1276	C₂²⋊C₄	—	172	1	no	—
1277	C₂²⋊C₄	—	172	1	no	—
1278	C₂²⋊C₄	—	172	1	no	—
1279	C₂²⋊C₄	—	172	1	no	—
1280	C₂²⋊C₄	—	172	1	no	—
1281	C₂²⋊C₄	—	172	1	no	—
1282	C₂²⋊C₄	—	172	1	no	—
1283	C₂²⋊C₄	—	172	1	no	—
1284	C₂²⋊C₄	Q₈×D₄₃	1	4	yes	complemented
1285	C₄²	—	2	2	no	—
1286	C₄²	—	2	2	no	—
1287	C₄²	—	4	1	no	—
1288	C₄²	—	4	1	no	—
1289	C₄²	—	86	2	no	—
1290	C₄²	—	86	2	no	—
1291	C₄²	—	86	2	no	—
1292	C₄²	—	86	2	no	—
1293	C₄²	—	86	2	no	—
1294	C₄²	—	86	2	no	—
1295	C₄²	—	172	1	no	—
1296	C₄²	—	172	1	no	—
1297	C₄²	—	172	1	no	—
1298	C₄²	—	172	1	no	—
1299	C₄²	—	172	1	no	—
1300	C₄²	—	172	1	no	—
1301	C₂³	—	2	1	no	—
1302	C₂³	—	2	1	no	—
1303	C₂³	—	2	1	no	—
1304	C₂³	—	2	1	no	—
1305	C₂³	—	2	1	no	—
1306	C₂³	—	2	1	no	—
1307	C₂³	—	43	2	no	—
1308	C₂³	—	43	2	no	—
1309	C₂³	—	43	2	no	—
1310	C₂³	—	43	2	no	—
1311	C₂³	—	43	2	no	—
1312	C₂³	—	43	2	no	—
1313	C₂³	—	43	2	no	—
1314	C₂³	—	43	2	no	—
1315	C₂³	—	86	8	no	—
1316	C₂³	—	86	8	no	—
1317	C₂³	—	86	8	no	—
1318	C₂³	—	86	1	no	—
1319	C₂³	—	86	1	no	—
1320	C₂³	—	86	1	no	—
1321	C₂³	—	86	1	no	—
1322	C₂³	—	86	1	no	—
1323	C₂³	—	86	1	no	—
1324	C₂³	—	172	4	no	—
1325	C₂³	—	172	4	no	—
1326	C₂³	—	172	4	no	—
1327	C₂³	—	172	4	no	—
1328	C₂³	C₂×Q₈×D₄₃	1	2	yes	—
1329	C₂³	C₂⁴×D₄₃	1	1	yes	characteristic
1330	Q₈	—	4	4	no	—
1331	Q₈	—	172	4	no	—
1332	Q₈	—	172	4	no	—
1333	Q₈	—	172	4	no	—
1334	C₂×C₄	—	2	1	no	—
1335	C₂×C₄	—	2	1	no	—
1336	C₂×C₄	—	2	1	no	—
1337	C₂×C₄	—	2	1	no	—
1338	C₂×C₄	—	2	1	no	—
1339	C₂×C₄	—	2	1	no	—
1340	C₂×C₄	—	2	1	no	—
1341	C₂×C₄	—	2	1	no	—
1342	C₂×C₄	—	2	1	no	—
1343	C₂×C₄	—	2	1	no	—
1344	C₂×C₄	—	2	1	no	—
1345	C₂×C₄	—	2	1	no	—
1346	C₂×C₄	—	2	1	no	—
1347	C₂×C₄	—	2	1	no	—
1348	C₂×C₄	—	2	1	no	—
1349	C₂×C₄	—	2	1	no	—
1350	C₂×C₄	—	2	1	no	—
1351	C₂×C₄	—	2	1	no	—
1352	C₂×C₄	—	2	1	no	—
1353	C₂×C₄	—	2	1	no	—
1354	C₂×C₄	—	2	1	no	—
1355	C₂×C₄	—	2	1	no	—
1356	C₂×C₄	—	2	1	no	—
1357	C₂×C₄	—	2	1	no	—
1358	C₂×C₄	—	2	1	no	—
1359	C₂×C₄	—	2	1	no	—
1360	C₂×C₄	—	2	1	no	—
1361	C₂×C₄	—	2	1	no	—
1362	C₂×C₄	—	2	1	no	—
1363	C₂×C₄	—	2	1	no	—
1364	C₂×C₄	—	2	1	no	—
1365	C₂×C₄	—	2	1	no	—
1366	C₂×C₄	—	2	1	no	—
1367	C₂×C₄	—	2	1	no	—
1368	C₂×C₄	—	2	1	no	—
1369	C₂×C₄	—	2	1	no	—
1370	C₂×C₄	—	4	4	no	—
1371	C₂×C₄	—	43	2	no	—
1372	C₂×C₄	—	43	2	no	—
1373	C₂×C₄	—	43	2	no	—
1374	C₂×C₄	—	43	2	no	—
1375	C₂×C₄	—	43	2	no	—
1376	C₂×C₄	—	43	2	no	—
1377	C₂×C₄	—	86	8	no	—
1378	C₂×C₄	—	86	8	no	—
1379	C₂×C₄	—	86	8	no	—
1380	C₂×C₄	—	86	8	no	—
1381	C₂×C₄	—	86	8	no	—
1382	C₂×C₄	—	86	8	no	—
1383	C₂×C₄	—	86	1	no	—
1384	C₂×C₄	—	86	1	no	—
1385	C₂×C₄	—	86	1	no	—
1386	C₂×C₄	—	86	1	no	—
1387	C₂×C₄	—	86	1	no	—
1388	C₂×C₄	—	86	1	no	—
1389	C₂×C₄	—	86	1	no	—
1390	C₂×C₄	—	86	1	no	—
1391	C₂×C₄	—	86	1	no	—
1392	C₂×C₄	—	86	1	no	—
1393	C₂×C₄	—	86	1	no	—
1394	C₂×C₄	—	86	1	no	—
1395	C₂×C₄	—	86	1	no	—
1396	C₂×C₄	—	86	1	no	—
1397	C₂×C₄	—	86	1	no	—
1398	C₂×C₄	—	86	1	no	—
1399	C₂×C₄	—	86	1	no	—
1400	C₂×C₄	—	86	1	no	—
1401	C₂×C₄	—	86	1	no	—
1402	C₂×C₄	—	86	1	no	—
1403	C₂×C₄	—	86	1	no	—
1404	C₂×C₄	—	86	1	no	—
1405	C₂×C₄	—	86	1	no	—
1406	C₂×C₄	—	86	1	no	—
1407	C₂×C₄	—	86	1	no	—
1408	C₂×C₄	—	86	1	no	—
1409	C₂×C₄	—	86	1	no	—
1410	C₂×C₄	—	86	1	no	—
1411	C₂×C₄	—	86	1	no	—
1412	C₂×C₄	—	86	1	no	—
1413	C₂×C₄	—	86	1	no	—
1414	C₂×C₄	—	86	1	no	—
1415	C₂×C₄	—	86	1	no	—
1416	C₂×C₄	—	86	1	no	—
1417	C₂×C₄	—	86	1	no	—
1418	C₂×C₄	—	86	1	no	—
1419	C₂×C₄	—	172	4	no	—
1420	C₂×C₄	—	172	4	no	—
1421	C₂×C₄	—	172	4	no	—
1422	C₂×C₄	—	172	4	no	—
1423	C₂×C₄	—	172	4	no	—
1424	C₂×C₄	—	172	4	no	—
1425	C₂×C₄	—	172	4	no	—
1426	C₂×C₄	—	172	4	no	—
1427	C₂×C₄	—	172	4	no	—
1428	C₂×C₄	—	172	4	no	—
1429	C₂×C₄	—	172	4	no	—
1430	C₂×C₄	C₂×Q₈×D₄₃	1	2	yes	—
1431	C₂×C₄	C₂×Q₈×D₄₃	1	2	yes	—
1432	C₂×C₄	#41×D₄₃	1	2	yes	—
1433	C₂×C₄	#41×D₄₃	1	2	yes	—
1434	C₂×C₄	#41×D₄₃	1	2	yes	—
1435	C₂×C₄	#41×D₄₃	1	2	yes	—
1436	C₂²	—	2	2	no	—
1437	C₂²	—	2	2	no	—
1438	C₂²	—	2	2	no	—
1439	C₂²	—	4	1	no	—
1440	C₂²	—	4	1	no	—
1441	C₂²	—	4	1	no	—
1442	C₂²	—	4	1	no	—
1443	C₂²	—	43	4	no	—
1444	C₂²	—	43	4	no	—
1445	C₂²	—	43	4	no	—
1446	C₂²	—	43	4	no	—
1447	C₂²	—	43	4	no	—
1448	C₂²	—	43	4	no	—
1449	C₂²	—	43	4	no	—
1450	C₂²	—	86	2	no	—
1451	C₂²	—	86	2	no	—
1452	C₂²	—	86	2	no	—
1453	C₂²	—	172	16	no	—
1454	C₂²	—	172	1	no	—
1455	C₂²	—	172	1	no	—
1456	C₂²	—	172	1	no	—
1457	C₂²	—	172	1	no	—
1458	C₂²	C₂²×Q₈×D₄₃	1	1	yes	characteristic
1459	C₂²	C₂×#41×D₄₃	1	1	yes	characteristic
1460	C₂²	C₂×#41×D₄₃	1	1	yes	characteristic
1461	C₂²	C₂×#41×D₄₃	1	1	yes	characteristic
1462	C₂²	C₂×#41×D₄₃	1	1	yes	characteristic
1463	C₂²	H(5,𝔽₂)×D₄₃	1	1	yes	characteristic
1464	C₂²	H(5,𝔽₂)×D₄₃	1	1	yes	characteristic
1465	C₄	—	2	2	no	—
1466	C₄	—	2	2	no	—
1467	C₄	—	2	2	no	—
1468	C₄	—	2	2	no	—
1469	C₄	—	2	2	no	—
1470	C₄	—	2	2	no	—
1471	C₄	—	4	1	no	—
1472	C₄	—	4	1	no	—
1473	C₄	—	4	1	no	—
1474	C₄	—	4	1	no	—
1475	C₄	—	4	1	no	—
1476	C₄	—	4	1	no	—
1477	C₄	—	4	1	no	—
1478	C₄	—	4	1	no	—
1479	C₄	—	86	2	no	—
1480	C₄	—	86	2	no	—
1481	C₄	—	86	2	no	—
1482	C₄	—	86	2	no	—
1483	C₄	—	86	2	no	—
1484	C₄	—	86	2	no	—
1485	C₄	—	172	1	no	—
1486	C₄	—	172	1	no	—
1487	C₄	—	172	1	no	—
1488	C₄	—	172	1	no	—
1489	C₄	—	172	1	no	—
1490	C₄	—	172	1	no	—
1491	C₄	—	172	1	no	—
1492	C₄	—	172	1	no	—
1493	C₂	—	4	2	no	—
1494	C₂	—	43	8	no	—
1495	C₂	—	172	2	no	—
1496	C₂	#529×D₄₃	1	1	yes	characteristic
1497	C₂	#533×D₄₃	1	1	yes	characteristic
1498	C₂	#538×D₄₃	1	1	yes	characteristic
1499	C₂	#551×D₄₃	1	1	yes	characteristic
1500	C₂	#554×D₄₃	1	1	yes	characteristic
1501	C₂	#554×D₄₃	1	1	yes	characteristic
1502	C₂	#555×D₄₃	1	1	yes	characteristic

	subgroup	G/H
center, Frattini	C₂³	C₂⁴×D₄₃
commutator, socle, cosocle	C₂³×C₄₃	C₂⁵
Fitting	C₄₃×#2574	C₂
prime radical	C₂⁴×D₄₃	C₂³
hypercenter	#2574	D₄₃
hypocenter	C₄₃	C₂×#2574
LCS	G ▷ C₂³×C₄₃ ▷ C₄₃
UCS	C₁ ◁ C₂³ ◁ #2574

Complements

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

N	H ≅ G/N	type
1. #19139876	C₂	semidirect
2. #19139875	C₂	semidirect
3. #19139874	C₂	semidirect
4. #19139873	C₂	semidirect
5. #19139872	C₂	semidirect
6. #19139871	C₂	semidirect
7. #19139870	C₂	semidirect
8. #19139869	C₂	semidirect
9. #19139868	C₂	semidirect
10. #19139867	C₂	semidirect
11. #19139866	C₂	semidirect
12. #19139865	C₂	semidirect
13. #19139864	C₂	semidirect
14. #19139863	C₂	semidirect
15. #19139862	C₂	semidirect
16. #398×D₄₃	C₂	semidirect
18. #395×D₄₃	C₂	semidirect
20. #391×D₄₃	C₂	semidirect
23. #387×D₄₃	C₂	semidirect
24. #387×D₄₃	C₂	semidirect
25. #387×D₄₃	C₂	semidirect
27. #382×D₄₃	C₂	semidirect
29. C₄×C₄⋊C₄×D₄₃	C₂	semidirect
31. C₄₃×#2574	C₂	semidirect
53. #14582833	C₂²	semidirect
54. #14582833	C₂²	semidirect
55. #14582832	C₂²	semidirect
56. #14582832	C₂²	semidirect
57. #14582831	C₂²	semidirect
58. #14582830	C₂²	semidirect
59. #14582829	C₂²	semidirect
67. #14582820	C₂²	semidirect
68. #14582820	C₂²	semidirect
69. #14582820	C₂²	semidirect
70. #14582819	C₂²	semidirect
71. #14582819	C₂²	semidirect
72. #14582819	C₂²	semidirect
73. #14582818	C₂²	semidirect
81. #14582806	C₂²	semidirect
82. #14582805	C₂²	semidirect
83. #14582804	C₂²	semidirect
84. #14582803	C₂²	semidirect
85. #14582803	C₂²	semidirect
86. #14582803	C₂²	semidirect
87. #14582803	C₂²	semidirect
102. #14582786	C₂²	semidirect
103. #14582786	C₂²	semidirect
104. #14582786	C₂²	semidirect
105. #14582785	C₂²	semidirect
106. #14582785	C₂²	semidirect
107. #14582785	C₂²	semidirect
108. #14582784	C₂²	semidirect
109. #14582784	C₂²	semidirect
110. #14582784	C₂²	semidirect
111. #14582783	C₂²	semidirect
112. #14582783	C₂²	semidirect
113. #14582783	C₂²	semidirect
114. #14582782	C₂²	semidirect
115. #14582782	C₂²	semidirect
116. #14582782	C₂²	semidirect
117. #14582781	C₂²	semidirect
118. #14582781	C₂²	semidirect
119. #14582781	C₂²	semidirect
120. #14582780	C₂²	semidirect
121. #14582780	C₂²	semidirect
122. #14582780	C₂²	semidirect
130. #14582765	C₂²	semidirect
131. #14582764	C₂²	semidirect
132. #14582764	C₂²	semidirect
133. #14582763	C₂²	semidirect
134. #14582763	C₂²	semidirect
135. #14582763	C₂²	semidirect
136. #14582763	C₂²	semidirect
144. C₄⋊C₄×Dic₄₃	C₂²	semidirect
145. C₄⋊C₄×Dic₄₃	C₂²	semidirect
146. C₄×Dic₄₃⋊C₄	C₂²	semidirect
147. C₄×Dic₄₃⋊C₄	C₂²	semidirect
148. C₄×C₄⋊Dic₄₃	C₂²	semidirect
149. #14582750	C₂²	semidirect
150. #14582750	C₂²	semidirect
172. C₄₃×#398	C₂²	semidirect
174. C₄₃×#395	C₂²	semidirect
176. C₄₃×#391	C₂²	semidirect
179. C₄₃×#387	C₂²	semidirect
180. C₄₃×#387	C₂²	semidirect
181. C₄₃×#387	C₂²	semidirect
183. C₄₃×#382	C₂²	semidirect
185. C₄×C₄⋊C₄×C₄₃	C₂²	semidirect
273. C₂²⋊C₄×D₄₃	Q₈	semidirect
487. C₂²⋊C₄×C₄₃	C₂×Q₈	semidirect
497. C₂²⋊Dic₄₃	C₂×Q₈	semidirect
508. (C₂×D₄₃)⋊C₄	C₂×Q₈	semidirect
509. (C₂×D₄₃)⋊C₄	C₂×Q₈	semidirect
757. #2574	D₄₃	direct (N × H)
782. D₄₃	#2574	direct (N × H)
811. #398	C₂×D₄₃	semidirect
827. #395	C₂×D₄₃	semidirect
843. #391	C₂×D₄₃	semidirect
881. #387	C₂×D₄₃	semidirect
882. #387	C₂×D₄₃	semidirect
883. #387	C₂×D₄₃	semidirect
899. #382	C₂×D₄₃	semidirect
915. C₄×C₄⋊C₄	C₂×D₄₃	semidirect
938. C₄₃	C₂×#2574	semidirect
1284. C₂²⋊C₄	Q₈×D₄₃	semidirect

Maximal subgroups

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

subgroup	index
#19139876	2
#19139875	2
#19139874	2
#19139873	2
#19139872	2
#19139871	2
#19139870	2
#19139869	2
#19139868	2
#19139867	2
#19139866	2
#19139865	2
#19139864	2
#19139863	2
#19139862	2
#398×D₄₃	2
#396×D₄₃	2
#395×D₄₃	2
#393×D₄₃	2
#391×D₄₃	2
#388×D₄₃	2
#387×D₄₃	2
#385×D₄₃	2
#382×D₄₃	2
#380×D₄₃	2
C₄×C₄⋊C₄×D₄₃	2
C₄×C₂²⋊C₄×D₄₃	2
C₄₃×#2574	2
C₂×#2574	43

Subgroups — D43×#2574 #25266830

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — D₄₃×#2574 #25266830