Subgroups — C₂×#19148661 #26004729

Order 11008.

7314 conjugacy classes of subgroups.

The subgroup lattice has 1292 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#19148661	C₂	1	32	yes	maximal, direct product factor
2	C₂×#14583623	C₂	1	1	yes	maximal, characteristic, complemented
3	C₂×#14583618	C₂	1	1	yes	maximal, characteristic, complemented
4	C₂×#14583610	C₂	1	1	yes	maximal, characteristic, complemented
5	C₂×#14583601	C₂	1	1	yes	maximal, characteristic, complemented
6	C₂×#14583594	C₂	1	2	yes	maximal, complemented
7	C₂×#14583591	C₂	1	1	yes	maximal, characteristic, complemented
8	C₂×#14583583	C₂	1	2	yes	maximal, complemented
9	C₂×#14583576	C₂	1	2	yes	maximal, complemented
10	C₂×#14583572	C₂	1	2	yes	maximal, complemented
11	C₂×#14583551	C₂	1	1	yes	maximal, characteristic, complemented
12	C₂×#14583546	C₂	1	1	yes	maximal, characteristic, complemented
13	C₂×#14583542	C₂	1	1	yes	maximal, characteristic, complemented
14	C₂×#14583507	C₂	1	1	yes	maximal, characteristic, complemented
15	C₂×#14583490	C₂	1	2	yes	maximal, complemented
16	C₂×#14583483	C₂	1	2	yes	maximal, complemented
17	C₂×#14583431	C₂	1	1	yes	maximal, characteristic, complemented
18	C₂×#14583428	C₂	1	2	yes	maximal, complemented
19	C₂×#14583427	C₂	1	1	yes	maximal, characteristic, complemented
20	C₂×#126×D₄₃	C₂	1	2	yes	maximal, complemented
21	C₂×#14583379	C₂	1	1	yes	maximal, characteristic, complemented
22	C₂×#14583371	C₂	1	1	yes	maximal, characteristic, complemented
23	C₂×C₄×#10621902	C₂	1	1	yes	maximal, characteristic, complemented
24	C₂×C₄₃×#542	C₂	1	1	yes	maximal, characteristic, complemented
25	C₂²×#10621902	C₂²	1	1	yes	characteristic
26	C₂²×#10621898	C₂²	1	1	yes	characteristic
27	C₂²×D₄×D₄₃	C₂²	1	1	yes	characteristic
28	#14583623	C₂²	1	16	yes	complemented
29	#14583618	C₂²	1	16	yes	complemented
30	#14583610	C₂²	1	16	yes	complemented
31	#14583601	C₂²	1	16	yes	complemented
32	#14583594	C₂²	1	32	yes	complemented
33	#14583591	C₂²	1	16	yes	complemented
34	#14583583	C₂²	1	32	yes	complemented
35	#14583576	C₂²	1	32	yes	complemented
36	#14583572	C₂²	1	32	yes	complemented
37	#14583551	C₂²	1	16	yes	complemented
38	#14583546	C₂²	1	16	yes	complemented
39	#14583542	C₂²	1	16	yes	complemented
40	#14583507	C₂²	1	16	yes	complemented
41	#14583490	C₂²	1	32	yes	complemented
42	#14583483	C₂²	1	32	yes	complemented
43	C₂×#13063323	C₂²	1	1	yes	characteristic, complemented
44	#14583431	C₂²	1	16	yes	complemented
45	#14583428	C₂²	1	32	yes	complemented
46	#14583427	C₂²	1	16	yes	complemented
47	C₂×#13063320	C₂²	1	2	yes	—
48	C₂×#13063320	C₂²	1	2	yes	—
49	C₂×#13063320	C₂²	1	2	yes	—
50	C₂×#13063320	C₂²	1	1	yes	characteristic
51	C₂×#13063320	C₂²	1	2	yes	complemented
52	C₂×#13063319	C₂²	1	2	yes	—
53	C₂×#13063318	C₂²	1	2	yes	complemented
54	C₂×#13063318	C₂²	1	2	yes	complemented
55	C₂×#13063318	C₂²	1	2	yes	complemented
56	C₂×#13063318	C₂²	1	2	yes	complemented
57	C₂×#13063318	C₂²	1	1	yes	characteristic, complemented
58	#126×D₄₃	C₂²	1	32	yes	complemented
59	C₂×#13063317	C₂²	1	2	yes	complemented
60	C₂×#13063316	C₂²	1	2	yes	complemented
61	C₂×#13063316	C₂²	1	1	yes	characteristic, complemented
62	C₂×#13063316	C₂²	1	1	yes	characteristic, complemented
63	C₂×#13063315	C₂²	1	1	yes	characteristic, complemented
64	C₂×#13063315	C₂²	1	2	yes	complemented
65	C₂×#13063314	C₂²	1	2	yes	—
66	C₂×#13063312	C₂²	1	1	yes	characteristic
67	C₂×#13063311	C₂²	1	1	yes	characteristic
68	C₂×#13063310	C₂²	1	1	yes	characteristic
69	C₂×#13063310	C₂²	1	2	yes	complemented
70	C₂×#13063309	C₂²	1	2	yes	—
71	C₂×#13063309	C₂²	1	2	yes	complemented
72	C₂×#13063307	C₂²	1	2	yes	—
73	C₂×#13063307	C₂²	1	2	yes	—
74	C₂×#13063307	C₂²	1	2	yes	complemented
75	C₂×#13063307	C₂²	1	1	yes	characteristic, complemented
76	C₂×#13063307	C₂²	1	2	yes	complemented
77	C₂×#13063305	C₂²	1	1	yes	characteristic
78	C₂×#13063305	C₂²	1	1	yes	characteristic, complemented
79	C₂×#13063305	C₂²	1	2	yes	complemented
80	C₂×#13063303	C₂²	1	1	yes	characteristic, complemented
81	C₂×#13063302	C₂²	1	2	yes	complemented
82	C₂×#13063301	C₂²	1	1	yes	characteristic
83	C₂×#13063301	C₂²	1	2	yes	complemented
84	C₂×#13063301	C₂²	1	2	yes	complemented
85	C₂×#13063298	C₂²	1	2	yes	—
86	C₂×#13063298	C₂²	1	1	yes	characteristic
87	C₂×#13063298	C₂²	1	2	yes	complemented
88	C₂×#13063297	C₂²	1	2	yes	complemented
89	C₂×#13063296	C₂²	1	1	yes	characteristic
90	C₂×#13063296	C₂²	1	2	yes	—
91	C₂×#13063295	C₂²	1	2	yes	—
92	C₂×#13063293	C₂²	1	2	yes	—
93	#14583379	C₂²	1	16	yes	complemented
94	#14583371	C₂²	1	16	yes	complemented
95	C₄×#10621902	C₂²	1	16	yes	complemented
96	C₂×Q₈×Dic₄₃	C₂²	1	1	yes	characteristic, complemented
97	C₂×Q₈×Dic₄₃	C₂²	1	2	yes	complemented
98	C₂×C₄×Dic₈₆	C₂²	1	1	yes	characteristic, complemented
99	C₂×C₄×Dic₈₆	C₂²	1	1	yes	characteristic, complemented
100	C₂×C₄×Dic₈₆	C₂²	1	1	yes	characteristic, complemented
101	C₂×C₄×D₁₇₂	C₂²	1	1	yes	characteristic
102	C₂×C₄×D₁₇₂	C₂²	1	1	yes	characteristic
103	C₂×C₄×D₁₇₂	C₂²	1	1	yes	characteristic
104	C₂×C₄×D₁₇₂	C₂²	1	2	yes	complemented
105	C₂×D₄×Dic₄₃	C₂²	1	1	yes	characteristic
106	C₂×D₄×Dic₄₃	C₂²	1	2	yes	complemented
107	C₂×#13063287	C₂²	1	1	yes	characteristic
108	C₂×#13063287	C₂²	1	1	yes	characteristic
109	C₂×#13063287	C₂²	1	2	yes	complemented
110	C₂×C₄×C₂²⋊D₄₃	C₂²	1	2	yes	—
111	C₂×C₄×C₂²⋊D₄₃	C₂²	1	1	yes	characteristic
112	C₂×C₄×C₂²⋊D₄₃	C₂²	1	1	yes	characteristic, complemented
113	C₂×C₄×C₂²⋊D₄₃	C₂²	1	2	yes	complemented
114	C₂×(C₂²⋊D₄₃)⋊C₄	C₂²	1	2	yes	—
115	C₂×(C₂²⋊D₄₃)⋊C₄	C₂²	1	2	yes	complemented
116	C₂×(C₂²⋊D₄₃)⋊C₄	C₂²	1	2	yes	complemented
117	C₂×#13063284	C₂²	1	2	yes	complemented
118	C₂×#13063283	C₂²	1	1	yes	characteristic
119	C₂×#13063283	C₂²	1	2	yes	complemented
120	C₂×#13063283	C₂²	1	1	yes	characteristic, complemented
121	C₂×#13063283	C₂²	1	2	yes	complemented
122	C₂×#13063282	C₂²	1	1	yes	characteristic
123	C₂×#13063281	C₂²	1	2	yes	complemented
124	C₂×#13063281	C₂²	1	2	yes	complemented
125	C₂²×C₄⋊Dic₄₃	C₂²	1	1	yes	characteristic, complemented
126	C₂×C₄⋊C₄×D₄₃	C₂²	1	2	yes	complemented
127	C₂×C₄⋊C₄×D₄₃	C₂²	1	2	yes	complemented
128	C₂×C₄⋊C₄×D₄₃	C₂²	1	2	yes	complemented
129	C₂²×(C₂×D₄₃)⋊C₄	C₂²	1	2	yes	—
130	C₂×C₂²⋊C₄×D₄₃	C₂²	1	2	yes	—
131	C₂×C₂²⋊C₄×D₄₃	C₂²	1	2	yes	—
132	C₂×C₂²⋊C₄×D₄₃	C₂²	1	2	yes	—
133	C₂×C₄²×D₄₃	C₂²	1	2	yes	complemented
134	C₂×C₄²×D₄₃	C₂²	1	1	yes	characteristic, complemented
135	C₄₃×#542	C₂²	1	16	yes	complemented
136	C₂×C₄⋊Q₈×C₄₃	C₂²	1	1	yes	characteristic, complemented
137	C₂×#126×C₄₃	C₂²	1	2	yes	complemented
138	C₂×#124×C₄₃	C₂²	1	1	yes	characteristic
139	C₂×#124×C₄₃	C₂²	1	2	yes	complemented
140	C₂×#123×C₄₃	C₂²	1	2	yes	complemented
141	C₂×C₂²⋊Q₈×C₄₃	C₂²	1	1	yes	characteristic, complemented
142	C₂×C₂²⋊Q₈×C₄₃	C₂²	1	2	yes	complemented
143	C₂×#121×C₄₃	C₂²	1	1	yes	characteristic
144	C₂×C₄×Q₈×C₄₃	C₂²	1	1	yes	characteristic, complemented
145	C₂×C₄×D₄×C₄₃	C₂²	1	1	yes	characteristic
146	C₂×#117×C₄₃	C₂²	1	1	yes	characteristic, complemented
147	C₂⁴×D₄₃	C₂³	1	2	yes	—
148	C₂×#10621902	—	2	8	no	—
149	C₂×#10621902	C₂³	1	8	yes	—
150	C₂×#10621898	—	2	8	no	—
151	C₂×#10621898	C₂³	1	8	yes	—
152	C₂²×Dic₈₆	C₂³	1	1	yes	characteristic
153	C₂²×Dic₈₆	C₂³	1	1	yes	characteristic
154	C₂²×D₁₇₂	C₂³	1	2	yes	—
155	C₂²×D₁₇₂	C₂³	1	1	yes	characteristic
156	C₂²×D₁₇₂	C₂³	1	1	yes	characteristic
157	C₂²×C₂²⋊D₄₃	C₂³	1	2	yes	—
158	C₂²×C₂²⋊D₄₃	C₂³	1	2	yes	—
159	C₂²×C₂²⋊D₄₃	C₂³	1	1	yes	characteristic
160	C₂²×C₂²⋊D₄₃	C₂³	1	2	yes	—
161	C₂²×C₂²⋊D₄₃	C₂³	1	1	yes	characteristic
162	C₂×D₄×D₄₃	—	2	8	no	—
163	C₂×D₄×D₄₃	C₂³	1	8	yes	—
164	C₂³×Dic₄₃	C₂³	1	2	yes	—
165	C₂³×Dic₄₃	C₂³	1	2	yes	—
166	C₂²×C₄×D₄₃	C₂³	1	2	yes	—
167	C₂²×C₄×D₄₃	C₂³	1	1	yes	characteristic
168	C₂²×C₄×D₄₃	C₂³	1	2	yes	—
169	C₂²×C₄×D₄₃	C₂³	1	1	yes	characteristic
170	C₂²×C₄×D₄₃	C₂³	1	2	yes	—
171	C₂²×C₄×D₄₃	C₂³	1	2	yes	—
172	C₂²×C₄×D₄₃	C₂³	1	1	yes	characteristic
173	C₂²×C₄×D₄₃	C₂³	1	1	yes	characteristic
174	C₂²×C₄×D₄₃	C₂³	1	2	yes	—
175	C₂²×C₄×D₄₃	C₂³	1	2	yes	—
176	#13063323	C₂³	1	8	yes	complemented
177	#13063320	C₂³	1	16	yes	—
178	#13063320	C₂³	1	16	yes	—
179	#13063320	C₂³	1	16	yes	—
180	#13063320	C₂³	1	8	yes	—
181	#13063320	C₂³	1	16	yes	complemented
182	#13063319	C₂³	1	16	yes	—
183	#13063318	C₂³	1	16	yes	complemented
184	#13063318	C₂³	1	16	yes	complemented
185	#13063318	C₂³	1	16	yes	complemented
186	#13063318	C₂³	1	16	yes	complemented
187	#13063318	C₂³	1	8	yes	complemented
188	#13063317	C₂³	1	16	yes	complemented
189	#13063316	C₂³	1	16	yes	complemented
190	#13063316	C₂³	1	8	yes	complemented
191	#13063316	C₂³	1	8	yes	complemented
192	#13063315	C₂³	1	8	yes	complemented
193	#13063315	C₂³	1	16	yes	complemented
194	#13063314	C₂³	1	16	yes	—
195	#13063312	C₂³	1	8	yes	—
196	#13063311	C₂³	1	8	yes	—
197	#13063310	C₂³	1	8	yes	—
198	#13063310	C₂³	1	16	yes	complemented
199	#13063309	C₂³	1	16	yes	—
200	#13063309	C₂³	1	16	yes	complemented
201	#13063307	C₂³	1	16	yes	—
202	#13063307	C₂³	1	16	yes	—
203	#13063307	C₂³	1	16	yes	complemented
204	#13063307	C₂³	1	8	yes	complemented
205	#13063307	C₂³	1	16	yes	complemented
206	#13063305	C₂³	1	8	yes	—
207	#13063305	C₂³	1	16	yes	complemented
208	#13063305	C₂³	1	8	yes	complemented
209	#13063303	C₂³	1	8	yes	complemented
210	#13063302	C₂³	1	16	yes	complemented
211	#13063301	C₂³	1	8	yes	—
212	#13063301	C₂³	1	16	yes	complemented
213	#13063301	C₂³	1	16	yes	complemented
214	#13063298	C₂³	1	16	yes	—
215	#13063298	C₂³	1	8	yes	—
216	#13063298	C₂³	1	16	yes	complemented
217	#13063297	C₂³	1	16	yes	complemented
218	#13063296	C₂³	1	16	yes	—
219	#13063296	C₂³	1	8	yes	—
220	#13063295	C₂³	1	16	yes	—
221	#13063293	C₂³	1	16	yes	—
222	Q₈×Dic₄₃	C₂³	1	16	yes	complemented
223	Q₈×Dic₄₃	C₂³	1	8	yes	complemented
224	C₄×Dic₈₆	C₂³	1	8	yes	complemented
225	C₄×Dic₈₆	C₂³	1	8	yes	complemented
226	C₄×Dic₈₆	C₂³	1	8	yes	complemented
227	C₄×D₁₇₂	C₂³	1	8	yes	—
228	C₄×D₁₇₂	C₂³	1	8	yes	—
229	C₄×D₁₇₂	C₂³	1	8	yes	—
230	C₄×D₁₇₂	C₂³	1	16	yes	complemented
231	D₄×Dic₄₃	C₂³	1	8	yes	—
232	D₄×Dic₄₃	C₂³	1	16	yes	complemented
233	#13063287	C₂³	1	8	yes	—
234	#13063287	C₂³	1	8	yes	—
235	#13063287	C₂³	1	16	yes	complemented
236	C₄×C₂²⋊D₄₃	C₂³	1	16	yes	—
237	C₄×C₂²⋊D₄₃	C₂³	1	8	yes	—
238	C₄×C₂²⋊D₄₃	C₂³	1	16	yes	complemented
239	C₄×C₂²⋊D₄₃	C₂³	1	8	yes	complemented
240	(C₂²⋊D₄₃)⋊C₄	C₂³	1	16	yes	—
241	(C₂²⋊D₄₃)⋊C₄	C₂³	1	16	yes	complemented
242	(C₂²⋊D₄₃)⋊C₄	C₂³	1	16	yes	complemented
243	#13063284	C₂³	1	16	yes	complemented
244	#13063283	C₂³	1	8	yes	—
245	#13063283	C₂³	1	16	yes	complemented
246	#13063283	C₂³	1	16	yes	complemented
247	#13063283	C₂³	1	8	yes	complemented
248	#13063282	C₂³	1	8	yes	—
249	#13063281	C₂³	1	16	yes	complemented
250	#13063281	C₂³	1	16	yes	complemented
251	C₂×C₄⋊Dic₄₃	C₂³	1	1	yes	characteristic
252	C₂×C₄⋊Dic₄₃	C₂³	1	2	yes	—
253	C₂×C₄⋊Dic₄₃	C₂³	1	2	yes	—
254	C₂×C₄⋊Dic₄₃	C₂³	1	1	yes	characteristic
255	C₂×C₄⋊Dic₄₃	C₂³	1	1	yes	characteristic
256	C₂×C₄⋊Dic₄₃	C₂³	1	2	yes	—
257	C₂×C₄⋊Dic₄₃	C₂³	1	2	yes	—
258	C₂×C₄⋊Dic₄₃	C₂³	1	2	yes	—
259	C₂×C₄⋊Dic₄₃	C₂³	1	1	yes	characteristic
260	C₂×C₄⋊Dic₄₃	C₂³	1	2	yes	—
261	C₂×C₄⋊Dic₄₃	C₂³	1	8	yes	complemented
262	C₂×Dic₄₃⋊C₄	C₂³	1	1	yes	characteristic
263	C₂×Dic₄₃⋊C₄	C₂³	1	2	yes	—
264	C₂×Dic₄₃⋊C₄	C₂³	1	2	yes	—
265	C₂×Dic₄₃⋊C₄	C₂³	1	2	yes	—
266	C₂×Dic₄₃⋊C₄	C₂³	1	2	yes	—
267	C₂×Dic₄₃⋊C₄	C₂³	1	2	yes	—
268	C₂×Dic₄₃⋊C₄	C₂³	1	1	yes	characteristic
269	C₂×Dic₄₃⋊C₄	C₂³	1	2	yes	—
270	C₂×Dic₄₃⋊C₄	C₂³	1	2	yes	—
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	C₄⋊C₄×D₄₃	C₂³	1	16	yes	complemented
276	C₄⋊C₄×D₄₃	C₂³	1	16	yes	complemented
277	C₄⋊C₄×D₄₃	C₂³	1	16	yes	complemented
278	C₂×C₂²⋊Dic₄₃	C₂³	1	2	yes	—
279	C₂×C₂²⋊Dic₄₃	C₂³	1	2	yes	—
280	C₂×C₂²⋊Dic₄₃	C₂³	1	2	yes	—
281	C₂×C₂²⋊Dic₄₃	C₂³	1	1	yes	characteristic
282	C₂×C₂²⋊Dic₄₃	C₂³	1	2	yes	—
283	C₂×C₂²⋊Dic₄₃	C₂³	1	1	yes	characteristic
284	C₂×(C₂×D₄₃)⋊C₄	C₂³	1	16	yes	—
285	C₂×(C₂×D₄₃)⋊C₄	C₂³	1	1	yes	characteristic
286	C₂×(C₂×D₄₃)⋊C₄	C₂³	1	1	yes	characteristic
287	C₂×(C₂×D₄₃)⋊C₄	C₂³	1	1	yes	characteristic
288	C₂×(C₂×D₄₃)⋊C₄	C₂³	1	2	yes	—
289	C₂×(C₂×D₄₃)⋊C₄	C₂³	1	2	yes	—
290	C₂×(C₂×D₄₃)⋊C₄	C₂³	1	2	yes	—
291	C₂×(C₂×D₄₃)⋊C₄	C₂³	1	1	yes	characteristic
292	C₂×(C₂×D₄₃)⋊C₄	C₂³	1	2	yes	—
293	C₂×(C₂×D₄₃)⋊C₄	C₂³	1	2	yes	—
294	C₂×(C₂×D₄₃)⋊C₄	C₂³	1	2	yes	—
295	C₂×(C₂×D₄₃)⋊C₄	C₂³	1	2	yes	—
296	C₂×(C₂×D₄₃)⋊C₄	C₂³	1	2	yes	—
297	C₂×(C₂×D₄₃)⋊C₄	C₂³	1	2	yes	—
298	C₂×(C₂×D₄₃)⋊C₄	C₂³	1	1	yes	characteristic
299	C₂×(C₂×D₄₃)⋊C₄	C₂³	1	1	yes	characteristic
300	C₂²⋊C₄×D₄₃	C₂³	1	16	yes	—
301	C₂²⋊C₄×D₄₃	C₂³	1	16	yes	—
302	C₂²⋊C₄×D₄₃	C₂³	1	16	yes	—
303	C₂×C₄×Dic₄₃	C₂³	1	1	yes	characteristic
304	C₂×C₄×Dic₄₃	C₂³	1	2	yes	—
305	C₂×C₄×Dic₄₃	C₂³	1	1	yes	characteristic
306	C₂×C₄×Dic₄₃	C₂³	1	2	yes	—
307	C₂×C₄×Dic₄₃	C₂³	1	1	yes	characteristic
308	C₂×C₄×Dic₄₃	C₂³	1	2	yes	—
309	C₂×C₄×Dic₄₃	C₂³	1	2	yes	—
310	C₂×C₄×Dic₄₃	C₂³	1	1	yes	characteristic
311	C₂×C₄×Dic₄₃	C₂³	1	2	yes	—
312	C₄²×D₄₃	C₂³	1	16	yes	complemented
313	C₄²×D₄₃	C₂³	1	8	yes	complemented
314	C₂²×Q₈×C₄₃	C₂³	1	1	yes	characteristic
315	C₂²×Q₈×C₄₃	C₂³	1	2	yes	—
316	C₂²×D₄×C₄₃	C₂³	1	1	yes	characteristic
317	C₂²×D₄×C₄₃	C₂³	1	2	yes	—
318	C₂³×C₄×C₄₃	C₂³	1	1	yes	characteristic
319	C₂³×C₄×C₄₃	C₂³	1	2	yes	—
320	C₄⋊Q₈×C₄₃	C₂³	1	8	yes	complemented
321	#126×C₄₃	C₂³	1	16	yes	complemented
322	#124×C₄₃	C₂³	1	8	yes	—
323	#124×C₄₃	C₂³	1	16	yes	complemented
324	#123×C₄₃	C₂³	1	16	yes	complemented
325	C₂²⋊Q₈×C₄₃	C₂³	1	16	yes	complemented
326	C₂²⋊Q₈×C₄₃	C₂³	1	8	yes	complemented
327	#121×C₄₃	C₂³	1	8	yes	—
328	C₄×Q₈×C₄₃	C₂³	1	8	yes	complemented
329	C₄×D₄×C₄₃	C₂³	1	8	yes	—
330	#117×C₄₃	C₂³	1	8	yes	complemented
331	C₂×C₄⋊C₄×C₄₃	C₂³	1	1	yes	characteristic
332	C₂×C₄⋊C₄×C₄₃	C₂³	1	1	yes	characteristic
333	C₂×C₄⋊C₄×C₄₃	C₂³	1	1	yes	characteristic
334	C₂×C₄⋊C₄×C₄₃	C₂³	1	1	yes	characteristic
335	C₂×C₄⋊C₄×C₄₃	C₂³	1	2	yes	—
336	C₂×C₄⋊C₄×C₄₃	C₂³	1	2	yes	—
337	C₂×C₄⋊C₄×C₄₃	C₂³	1	2	yes	—
338	C₂×C₂²⋊C₄×C₄₃	C₂³	1	1	yes	characteristic
339	C₂×C₂²⋊C₄×C₄₃	C₂³	1	1	yes	characteristic
340	C₂×C₂²⋊C₄×C₄₃	C₂³	1	2	yes	—
341	C₂×C₂²⋊C₄×C₄₃	C₂³	1	2	yes	—
342	C₂×C₂²⋊C₄×C₄₃	C₂³	1	2	yes	—
343	C₂×C₂²⋊C₄×C₄₃	C₂³	1	2	yes	—
344	C₂×C₂²⋊C₄×C₄₃	C₂³	1	2	yes	—
345	C₂×C₄²×C₄₃	C₂³	1	1	yes	characteristic
346	C₂×C₄²×C₄₃	C₂³	1	1	yes	characteristic
347	C₂×C₄²×C₄₃	C₂³	1	2	yes	—
348	C₂⁴×C₄₃	C₂⁴	1	2	yes	—
349	C₂⁴×C₄₃	C₂⁴	1	1	yes	characteristic
350	C₂³×D₄₃	—	2	8	no	—
351	C₂³×D₄₃	—	4	4	no	—
352	C₂³×D₄₃	—	4	4	no	—
353	C₂³×D₄₃	C₂⁴	1	1	yes	characteristic
354	C₂³×D₄₃	C₂⁴	1	1	yes	characteristic
355	C₂³×D₄₃	C₂⁴	1	2	yes	—
356	C₂³×D₄₃	C₂⁴	1	8	yes	—
357	C₂×Q₈×C₄₃	—	2	4	no	—
358	C₂×Q₈×C₄₃	—	4	4	no	—
359	C₂×Q₈×C₄₃	C₂⁴	1	4	yes	—
360	C₂×Q₈×C₄₃	C₂⁴	1	8	yes	—
361	C₂×D₄×C₄₃	—	2	4	no	—
362	C₂×D₄×C₄₃	—	4	4	no	—
363	C₂×D₄×C₄₃	C₂⁴	1	4	yes	—
364	C₂×D₄×C₄₃	C₂⁴	1	8	yes	—
365	C₂²×C₄×C₄₃	—	2	4	no	—
366	C₂²×C₄×C₄₃	—	4	4	no	—
367	C₂²×C₄×C₄₃	C₂⁴	1	1	yes	characteristic
368	C₂²×C₄×C₄₃	C₂⁴	1	1	yes	characteristic
369	C₂²×C₄×C₄₃	C₂⁴	1	2	yes	—
370	C₂²×C₄×C₄₃	C₂⁴	1	1	yes	characteristic
371	C₂²×C₄×C₄₃	C₂⁴	1	1	yes	characteristic
372	C₂²×C₄×C₄₃	C₂⁴	1	2	yes	—
373	C₂²×C₄×C₄₃	C₂⁴	1	1	yes	characteristic
374	C₂²×C₄×C₄₃	C₂⁴	1	2	yes	—
375	C₂²×C₄×C₄₃	C₂⁴	1	4	yes	—
376	C₂²×C₄×C₄₃	C₂⁴	1	8	yes	—
377	C₂²×C₄×C₄₃	C₂⁴	1	1	yes	characteristic
378	C₂×C₂²⋊D₄₃	—	2	8	no	—
379	C₂×C₂²⋊D₄₃	—	2	8	no	—
380	C₂×C₂²⋊D₄₃	—	4	2	no	—
381	C₂×C₂²⋊D₄₃	—	4	4	no	—
382	C₂×C₂²⋊D₄₃	—	4	2	no	—
383	C₂×C₂²⋊D₄₃	C₂⁴	1	8	yes	—
384	C₂×C₂²⋊D₄₃	C₂⁴	1	8	yes	—
385	C₂×C₂²⋊D₄₃	C₂⁴	1	4	yes	—
386	C₂×C₂²⋊D₄₃	C₂⁴	1	8	yes	—
387	C₂×C₂²⋊D₄₃	C₂⁴	1	4	yes	—
388	C₂²×Dic₄₃	—	4	4	no	—
389	C₂²×Dic₄₃	—	4	4	no	—
390	C₂²×Dic₄₃	C₂⁴	1	2	yes	—
391	C₂²×Dic₄₃	C₂⁴	1	1	yes	characteristic
392	C₂²×Dic₄₃	C₂⁴	1	1	yes	characteristic
393	C₂²×Dic₄₃	C₂⁴	1	2	yes	—
394	C₂²×Dic₄₃	C₂⁴	1	1	yes	characteristic
395	C₂²×Dic₄₃	C₂⁴	1	1	yes	characteristic
396	C₂²×Dic₄₃	C₂⁴	1	1	yes	characteristic
397	C₂²×Dic₄₃	C₂⁴	1	2	yes	—
398	C₂²×Dic₄₃	C₂⁴	1	1	yes	characteristic
399	C₂²×Dic₄₃	C₂⁴	1	8	yes	—
400	C₂²×Dic₄₃	C₂⁴	1	8	yes	—
401	#10621902	—	2	32	no	—
402	D₄×D₄₃	—	2	32	no	—
403	#10621898	—	2	32	no	—
404	C₂×D₁₇₂	—	2	8	no	—
405	C₂×D₁₇₂	—	4	2	no	—
406	C₂×D₁₇₂	#41	1	8	yes	—
407	C₂×D₁₇₂	C₂⁴	1	8	yes	—
408	C₂×D₁₇₂	C₂⁴	1	4	yes	—
409	C₂×D₁₇₂	C₂⁴	1	4	yes	—
410	C₂×C₄×D₄₃	—	2	4	no	—
411	C₂×C₄×D₄₃	—	2	4	no	—
412	C₂×C₄×D₄₃	—	2	8	no	—
413	C₂×C₄×D₄₃	—	2	8	no	—
414	C₂×C₄×D₄₃	—	4	4	no	—
415	C₂×C₄×D₄₃	—	4	4	no	—
416	C₂×C₄×D₄₃	—	4	4	no	—
417	C₂×C₄×D₄₃	—	4	4	no	—
418	C₂×C₄×D₄₃	—	4	2	no	—
419	C₂×C₄×D₄₃	—	4	2	no	—
420	C₂×C₄×D₄₃	C₂⁴	1	8	yes	—
421	C₂×C₄×D₄₃	C₂⁴	1	4	yes	—
422	C₂×C₄×D₄₃	C₂⁴	1	8	yes	—
423	C₂×C₄×D₄₃	C₂⁴	1	4	yes	—
424	C₂×C₄×D₄₃	C₂⁴	1	8	yes	—
425	C₂×C₄×D₄₃	C₂⁴	1	8	yes	—
426	C₂×C₄×D₄₃	C₂⁴	1	4	yes	—
427	C₂×C₄×D₄₃	C₂⁴	1	4	yes	—
428	C₂×C₄×D₄₃	C₂⁴	1	8	yes	—
429	C₂×C₄×D₄₃	C₂⁴	1	8	yes	—
430	C₂×Dic₈₆	—	2	4	no	—
431	C₂×Dic₈₆	—	4	2	no	—
432	C₂×Dic₈₆	C₂⁴	1	4	yes	—
433	C₂×Dic₈₆	C₂⁴	1	4	yes	—
434	C₄⋊C₄×C₄₃	C₂⁴	1	4	yes	—
435	C₄⋊C₄×C₄₃	C₂⁴	1	4	yes	—
436	C₄⋊C₄×C₄₃	C₂⁴	1	4	yes	—
437	C₄⋊C₄×C₄₃	C₂⁴	1	4	yes	—
438	C₄⋊C₄×C₄₃	C₂⁴	1	8	yes	—
439	C₄⋊C₄×C₄₃	C₂⁴	1	8	yes	—
440	C₄⋊C₄×C₄₃	C₂⁴	1	8	yes	—
441	C₂²⋊C₄×C₄₃	C₂⁴	1	4	yes	—
442	C₂²⋊C₄×C₄₃	C₂⁴	1	4	yes	—
443	C₂²⋊C₄×C₄₃	C₂⁴	1	8	yes	—
444	C₂²⋊C₄×C₄₃	C₂⁴	1	8	yes	—
445	C₂²⋊C₄×C₄₃	C₂⁴	1	8	yes	—
446	C₂²⋊C₄×C₄₃	C₂⁴	1	8	yes	—
447	C₂²⋊C₄×C₄₃	C₂⁴	1	8	yes	—
448	C₄²×C₄₃	C₂⁴	1	4	yes	—
449	C₄²×C₄₃	C₂⁴	1	4	yes	—
450	C₄²×C₄₃	C₂⁴	1	8	yes	—
451	C₂²⋊Dic₄₃	C₂⁴	1	8	yes	—
452	C₂²⋊Dic₄₃	C₂⁴	1	8	yes	—
453	C₂²⋊Dic₄₃	C₂⁴	1	8	yes	—
454	C₂²⋊Dic₄₃	C₂⁴	1	4	yes	—
455	C₂²⋊Dic₄₃	C₂⁴	1	8	yes	—
456	C₂²⋊Dic₄₃	C₂⁴	1	4	yes	—
457	(C₂×D₄₃)⋊C₄	C₂⁴	1	4	yes	—
458	(C₂×D₄₃)⋊C₄	C₂⁴	1	4	yes	—
459	(C₂×D₄₃)⋊C₄	C₂⁴	1	4	yes	—
460	(C₂×D₄₃)⋊C₄	C₂⁴	1	8	yes	—
461	(C₂×D₄₃)⋊C₄	C₂⁴	1	8	yes	—
462	(C₂×D₄₃)⋊C₄	C₂⁴	1	8	yes	—
463	(C₂×D₄₃)⋊C₄	C₂⁴	1	4	yes	—
464	(C₂×D₄₃)⋊C₄	C₂⁴	1	8	yes	—
465	(C₂×D₄₃)⋊C₄	C₂⁴	1	8	yes	—
466	(C₂×D₄₃)⋊C₄	C₂⁴	1	8	yes	—
467	(C₂×D₄₃)⋊C₄	C₂⁴	1	8	yes	—
468	(C₂×D₄₃)⋊C₄	C₂⁴	1	8	yes	—
469	(C₂×D₄₃)⋊C₄	C₂⁴	1	8	yes	—
470	(C₂×D₄₃)⋊C₄	C₂⁴	1	4	yes	—
471	(C₂×D₄₃)⋊C₄	C₂⁴	1	4	yes	—
472	C₄⋊Dic₄₃	C₂⁴	1	4	yes	—
473	C₄⋊Dic₄₃	C₂⁴	1	8	yes	—
474	C₄⋊Dic₄₃	C₂⁴	1	8	yes	—
475	C₄⋊Dic₄₃	C₂⁴	1	4	yes	—
476	C₄⋊Dic₄₃	C₂⁴	1	4	yes	—
477	C₄⋊Dic₄₃	C₂⁴	1	8	yes	—
478	C₄⋊Dic₄₃	C₂⁴	1	8	yes	—
479	C₄⋊Dic₄₃	C₂⁴	1	8	yes	—
480	C₄⋊Dic₄₃	C₂⁴	1	4	yes	—
481	C₄⋊Dic₄₃	C₂⁴	1	8	yes	—
482	Dic₄₃⋊C₄	C₂⁴	1	4	yes	—
483	Dic₄₃⋊C₄	C₂⁴	1	8	yes	—
484	Dic₄₃⋊C₄	C₂⁴	1	8	yes	—
485	Dic₄₃⋊C₄	C₂⁴	1	8	yes	—
486	Dic₄₃⋊C₄	C₂⁴	1	8	yes	—
487	Dic₄₃⋊C₄	C₂⁴	1	8	yes	—
488	Dic₄₃⋊C₄	C₂⁴	1	4	yes	—
489	Dic₄₃⋊C₄	C₂⁴	1	8	yes	—
490	Dic₄₃⋊C₄	C₂⁴	1	8	yes	—
491	Dic₄₃⋊C₄	C₂⁴	1	4	yes	—
492	Dic₄₃⋊C₄	C₂⁴	1	4	yes	—
493	Dic₄₃⋊C₄	C₂⁴	1	4	yes	—
494	Dic₄₃⋊C₄	C₂⁴	1	4	yes	—
495	C₄×Dic₄₃	C₂⁴	1	4	yes	—
496	C₄×Dic₄₃	C₂⁴	1	8	yes	—
497	C₄×Dic₄₃	C₂⁴	1	4	yes	—
498	C₄×Dic₄₃	C₂⁴	1	8	yes	—
499	C₄×Dic₄₃	C₂⁴	1	4	yes	—
500	C₄×Dic₄₃	C₂⁴	1	8	yes	—
501	C₄×Dic₄₃	C₂⁴	1	8	yes	—
502	C₄×Dic₄₃	C₂⁴	1	4	yes	—
503	C₄×Dic₄₃	C₂⁴	1	8	yes	—
504	C₂³×C₄₃	—	2	2	no	—
505	C₂³×C₄₃	—	2	4	no	—
506	C₂³×C₄₃	—	2	2	no	—
507	C₂³×C₄₃	—	2	4	no	—
508	C₂³×C₄₃	—	2	2	no	—
509	C₂³×C₄₃	—	2	4	no	—
510	C₂³×C₄₃	C₂⁵	1	4	yes	—
511	C₂³×C₄₃	C₂⁵	1	2	yes	—
512	C₂³×C₄₃	C₂⁵	1	1	yes	characteristic
513	C₂²×D₄₃	—	2	4	no	—
514	C₂²×D₄₃	—	2	4	no	—
515	C₂²×D₄₃	—	2	2	no	—
516	C₂²×D₄₃	—	2	2	no	—
517	C₂²×D₄₃	—	2	2	no	—
518	C₂²×D₄₃	—	2	2	no	—
519	C₂²×D₄₃	—	2	2	no	—
520	C₂²×D₄₃	—	2	2	no	—
521	C₂²×D₄₃	—	2	16	no	—
522	C₂²×D₄₃	—	4	8	no	—
523	C₂²×D₄₃	—	4	8	no	—
524	C₂²×D₄₃	—	8	16	no	—
525	C₂²×D₄₃	C₂×#41	1	8	yes	—
526	C₂²×D₄₃	C₂⁵	1	2	yes	—
527	C₂²×D₄₃	C₂⁵	1	2	yes	—
528	C₂²×D₄₃	C₂⁵	1	4	yes	—
529	Q₈×C₄₃	—	2	8	no	—
530	Q₈×C₄₃	—	4	8	no	—
531	D₄×C₄₃	—	2	8	no	—
532	D₄×C₄₃	—	4	8	no	—
533	C₂×C₄×C₄₃	—	2	2	no	—
534	C₂×C₄×C₄₃	—	2	4	no	—
535	C₂×C₄×C₄₃	—	2	2	no	—
536	C₂×C₄×C₄₃	—	2	2	no	—
537	C₂×C₄×C₄₃	—	2	2	no	—
538	C₂×C₄×C₄₃	—	2	4	no	—
539	C₂×C₄×C₄₃	—	2	4	no	—
540	C₂×C₄×C₄₃	—	2	2	no	—
541	C₂×C₄×C₄₃	—	2	8	no	—
542	C₂×C₄×C₄₃	—	4	8	no	—
543	C₂×C₄×C₄₃	C₂×#41	1	4	yes	—
544	C₂×C₄×C₄₃	C₂⁵	1	2	yes	—
545	C₂×C₄×C₄₃	C₂⁵	1	2	yes	—
546	C₂×C₄×C₄₃	C₂⁵	1	4	yes	—
547	C₂×C₄×C₄₃	C₂⁵	1	2	yes	—
548	C₂×C₄×C₄₃	C₂⁵	1	4	yes	—
549	C₂×C₄×C₄₃	C₂⁵	1	4	yes	—
550	C₂×C₄×C₄₃	C₂⁵	1	2	yes	—
551	C₂×C₄×C₄₃	C₂⁵	1	2	yes	—
552	C₂×C₄×C₄₃	C₂⁵	1	2	yes	—
553	C₂²⋊D₄₃	—	2	16	no	—
554	C₂²⋊D₄₃	—	2	16	no	—
555	C₂²⋊D₄₃	—	4	4	no	—
556	C₂²⋊D₄₃	—	4	4	no	—
557	C₂²⋊D₄₃	—	4	8	no	—
558	C₂×Dic₄₃	—	2	4	no	—
559	C₂×Dic₄₃	—	2	2	no	—
560	C₂×Dic₄₃	—	2	2	no	—
561	C₂×Dic₄₃	—	2	2	no	—
562	C₂×Dic₄₃	—	2	2	no	—
563	C₂×Dic₄₃	—	2	2	no	—
564	C₂×Dic₄₃	—	2	2	no	—
565	C₂×Dic₄₃	—	2	4	no	—
566	C₂×Dic₄₃	—	2	4	no	—
567	C₂×Dic₄₃	—	4	8	no	—
568	C₂×Dic₄₃	—	4	8	no	—
569	C₂×Dic₄₃	C₂⁵	1	2	yes	—
570	C₂×Dic₄₃	C₂⁵	1	4	yes	—
571	C₂×Dic₄₃	C₂⁵	1	2	yes	—
572	C₂×Dic₄₃	C₂⁵	1	2	yes	—
573	C₂×Dic₄₃	C₂⁵	1	4	yes	—
574	C₂×Dic₄₃	C₂⁵	1	2	yes	—
575	C₂×Dic₄₃	C₂⁵	1	2	yes	—
576	C₂×Dic₄₃	C₂⁵	1	4	yes	—
577	C₂×Dic₄₃	C₂⁵	1	2	yes	—
578	D₁₇₂	—	2	16	no	—
579	D₁₇₂	—	4	4	no	—
580	D₁₇₂	C₂×#41	1	16	yes	—
581	C₄×D₄₃	—	2	16	no	—
582	C₄×D₄₃	—	2	16	no	—
583	C₄×D₄₃	—	2	8	no	—
584	C₄×D₄₃	—	2	8	no	—
585	C₄×D₄₃	—	4	4	no	—
586	C₄×D₄₃	—	4	4	no	—
587	C₄×D₄₃	—	4	8	no	—
588	C₄×D₄₃	—	4	8	no	—
589	C₄×D₄₃	—	4	8	no	—
590	C₄×D₄₃	—	4	8	no	—
591	Dic₈₆	—	2	8	no	—
592	Dic₈₆	—	4	4	no	—
593	C₂×#3521	—	43	1	no	maximal, Sylow
594	C₂²×C₄₃	—	2	4	no	—
595	C₂²×C₄₃	—	2	2	no	—
596	C₂²×C₄₃	—	2	4	no	—
597	C₂²×C₄₃	—	2	4	no	—
598	C₂²×C₄₃	—	2	2	no	—
599	C₂²×C₄₃	—	2	2	no	—
600	C₂²×C₄₃	—	4	8	no	—
601	C₂²×C₄₃	—	4	4	no	—
602	C₂²×C₄₃	C₂²×#41	1	2	yes	—
603	C₂²×C₄₃	#585	1	2	yes	—
604	C₂²×C₄₃	#585	1	2	yes	—
605	C₂²×C₄₃	C₂⁶	1	1	yes	characteristic
606	C₂×D₄₃	—	2	4	no	—
607	C₂×D₄₃	—	2	4	no	—
608	C₂×D₄₃	—	2	16	no	—
609	C₂×D₄₃	—	2	2	no	—
610	C₂×D₄₃	—	2	2	no	—
611	C₂×D₄₃	—	2	2	no	—
612	C₂×D₄₃	—	2	2	no	—
613	C₂×D₄₃	—	2	2	no	—
614	C₂×D₄₃	—	2	2	no	—
615	C₂×D₄₃	—	4	4	no	—
616	C₂×D₄₃	—	4	4	no	—
617	C₂×D₄₃	—	8	16	no	—
618	C₂×D₄₃	C₂²×#41	1	8	yes	—
619	C₄×C₄₃	—	2	2	no	—
620	C₄×C₄₃	—	2	4	no	—
621	C₄×C₄₃	—	2	2	no	—
622	C₄×C₄₃	—	2	2	no	—
623	C₄×C₄₃	—	2	2	no	—
624	C₄×C₄₃	—	2	4	no	—
625	C₄×C₄₃	—	2	4	no	—
626	C₄×C₄₃	—	2	2	no	—
627	C₄×C₄₃	C₂²×#41	1	4	yes	—
628	Dic₄₃	—	2	4	no	—
629	Dic₄₃	—	2	2	no	—
630	Dic₄₃	—	2	2	no	—
631	Dic₄₃	—	2	2	no	—
632	Dic₄₃	—	2	2	no	—
633	Dic₄₃	—	2	2	no	—
634	Dic₄₃	—	2	2	no	—
635	Dic₄₃	—	2	4	no	—
636	Dic₄₃	—	2	4	no	—
637	#3521	—	43	32	no	—
638	C₂×#556	—	43	1	no	—
639	C₂×#556	—	43	1	no	—
640	C₂×#554	—	43	1	no	—
641	C₂×#553	—	43	2	no	—
642	C₂×#553	—	43	1	no	—
643	C₂×#552	—	43	2	no	—
644	C₂×#552	—	43	1	no	—
645	C₂×#551	—	43	2	no	—
646	C₂×#551	—	43	2	no	—
647	C₂×#547	—	43	1	no	—
648	C₂×#546	—	43	1	no	—
649	C₂×#546	—	43	1	no	—
650	C₂×#542	D₄₃	1	1	yes	characteristic, complemented
651	C₂×#541	—	43	1	no	—
652	C₂×#539	—	43	2	no	—
653	C₂×#538	—	43	2	no	—
654	C₂×#529	—	43	2	no	—
655	C₂×#529	—	43	1	no	—
656	C₂×#529	—	43	1	no	—
657	C₂²×#126	—	43	2	no	—
658	C₂×#520	—	43	1	no	—
659	C₂×#518	—	43	1	no	—
660	C₂×C₄×#41	—	43	1	no	—
661	C₂×C₄₃	—	4	4	no	—
662	C₂×C₄₃	—	4	2	no	—
663	C₂×C₄₃	#3521	1	4	yes	complemented
664	C₂×C₄₃	C₂³×#41	1	1	yes	characteristic
665	C₂×C₄₃	C₂×#585	1	1	yes	characteristic
666	C₂×C₄₃	C₂×#585	1	1	yes	characteristic
667	D₄₃	—	2	8	no	—
668	D₄₃	—	4	2	no	—
669	D₄₃	—	4	2	no	—
670	C₂²×#41	—	43	1	no	—
671	C₂²×#41	—	43	1	no	—
672	C₂³×D₄	—	43	1	no	—
673	#556	—	43	16	no	—
674	#556	—	43	16	no	—
675	#554	—	43	16	no	—
676	#553	—	43	32	no	—
677	#553	—	43	16	no	—
678	#552	—	43	32	no	—
679	#552	—	43	16	no	—
680	#551	—	43	32	no	—
681	#551	—	43	32	no	—
682	#547	—	43	16	no	—
683	#546	—	43	16	no	—
684	#546	—	43	16	no	—
685	#542	C₂×D₄₃	1	16	yes	complemented
686	#541	—	43	16	no	—
687	#539	—	43	32	no	—
688	#538	—	43	32	no	—
689	C₂×C₄⋊Q₈	—	43	1	no	—
690	C₂×C₄⋊Q₈	C₂×D₄₃	1	1	yes	characteristic, complemented
691	#529	—	43	32	no	—
692	#529	—	43	16	no	—
693	#529	—	43	16	no	—
694	C₂×#126	—	43	32	no	—
695	C₂×#126	—	43	1	no	—
696	C₂×#126	—	43	2	no	—
697	C₂×#126	—	43	2	no	—
698	C₂×#126	—	43	2	no	—
699	C₂×#126	—	43	2	no	—
700	C₂×#126	—	43	2	no	—
701	C₂×#126	—	43	2	no	—
702	C₂×#126	—	43	2	no	—
703	C₂×#126	—	43	1	no	—
704	C₂×#126	—	43	2	no	—
705	C₂×#126	—	43	2	no	—
706	C₂×#126	C₂×D₄₃	1	2	yes	complemented
707	C₂×#125	—	43	1	no	—
708	C₂×#125	—	43	1	no	—
709	C₂×#125	—	43	2	no	—
710	C₂×#125	—	43	2	no	—
711	C₂×#125	—	43	1	no	—
712	C₂×#125	—	43	2	no	—
713	C₂×#124	—	43	2	no	—
714	C₂×#124	—	43	1	no	—
715	C₂×#124	—	43	1	no	—
716	C₂×#124	C₂×D₄₃	1	1	yes	characteristic
717	C₂×#124	C₂×D₄₃	1	2	yes	complemented
718	C₂×#123	—	43	1	no	—
719	C₂×#123	—	43	2	no	—
720	C₂×#123	—	43	2	no	—
721	C₂×#123	—	43	2	no	—
722	C₂×#123	—	43	2	no	—
723	C₂×#123	—	43	2	no	—
724	C₂×#123	—	43	1	no	—
725	C₂×#123	—	43	2	no	—
726	C₂×#123	—	43	2	no	—
727	C₂×#123	C₂×D₄₃	1	2	yes	complemented
728	C₂×C₂²⋊Q₈	—	43	1	no	—
729	C₂×C₂²⋊Q₈	—	43	2	no	—
730	C₂×C₂²⋊Q₈	—	43	2	no	—
731	C₂×C₂²⋊Q₈	—	43	1	no	—
732	C₂×C₂²⋊Q₈	—	43	1	no	—
733	C₂×C₂²⋊Q₈	—	43	1	no	—
734	C₂×C₂²⋊Q₈	—	43	2	no	—
735	C₂×C₂²⋊Q₈	—	43	2	no	—
736	C₂×C₂²⋊Q₈	C₂×D₄₃	1	1	yes	characteristic, complemented
737	C₂×C₂²⋊Q₈	C₂×D₄₃	1	2	yes	complemented
738	C₂×#121	—	43	1	no	—
739	C₂×#121	—	43	2	no	—
740	C₂×#121	—	43	2	no	—
741	C₂×#121	—	43	1	no	—
742	C₂×#121	—	43	2	no	—
743	C₂×#121	—	43	2	no	—
744	C₂×#121	C₂×D₄₃	1	1	yes	characteristic
745	C₂×#120	—	43	2	no	—
746	C₂×#120	—	43	2	no	—
747	#520	—	43	16	no	—
748	#518	—	43	16	no	—
749	C₄×#41	—	43	16	no	—
750	C₂×C₄×Q₈	—	43	1	no	—
751	C₂×C₄×Q₈	—	43	2	no	—
752	C₂×C₄×Q₈	—	43	1	no	—
753	C₂×C₄×Q₈	—	43	1	no	—
754	C₂×C₄×Q₈	—	43	1	no	—
755	C₂×C₄×Q₈	C₂×D₄₃	1	1	yes	characteristic, complemented
756	C₂×C₄×D₄	—	43	1	no	—
757	C₂×C₄×D₄	—	43	2	no	—
758	C₂×C₄×D₄	—	43	2	no	—
759	C₂×C₄×D₄	—	43	1	no	—
760	C₂×C₄×D₄	—	43	1	no	—
761	C₂×C₄×D₄	—	43	2	no	—
762	C₂×C₄×D₄	—	43	1	no	—
763	C₂×C₄×D₄	—	43	1	no	—
764	C₂×C₄×D₄	—	43	2	no	—
765	C₂×C₄×D₄	—	43	2	no	—
766	C₂×C₄×D₄	—	43	2	no	—
767	C₂×C₄×D₄	—	43	2	no	—
768	C₂×C₄×D₄	—	43	1	no	—
769	C₂×C₄×D₄	—	43	1	no	—
770	C₂×C₄×D₄	—	43	1	no	—
771	C₂×C₄×D₄	—	43	2	no	—
772	C₂×C₄×D₄	C₂×D₄₃	1	1	yes	characteristic
773	C₂×#117	—	43	2	no	—
774	C₂×#117	—	43	1	no	—
775	C₂×#117	—	43	2	no	—
776	C₂×#117	—	43	1	no	—
777	C₂×#117	—	43	2	no	—
778	C₂×#117	—	43	2	no	—
779	C₂×#117	—	43	2	no	—
780	C₂×#117	—	43	1	no	—
781	C₂×#117	C₂×D₄₃	1	1	yes	characteristic, complemented
782	C₂²×C₄⋊C₄	—	43	1	no	—
783	C₂²×C₄⋊C₄	—	43	2	no	—
784	C₂²×C₄⋊C₄	—	43	2	no	—
785	C₂²×C₄⋊C₄	—	43	2	no	—
786	C₂²×C₂²⋊C₄	—	43	2	no	—
787	C₂²×C₂²⋊C₄	—	43	2	no	—
788	C₂²×C₂²⋊C₄	—	43	2	no	—
789	C₂²×C₂²⋊C₄	—	43	2	no	—
790	C₂²×C₄²	—	43	2	no	—
791	C₂²×C₄²	—	43	1	no	—
792	C₄₃	C₂×#3521	1	1	yes	characteristic, complemented, Sylow
793	C₂⁵	—	43	2	no	—
794	C₂×#41	—	43	8	no	—
795	C₂×#41	—	43	8	no	—
796	C₂×#41	—	86	8	no	—
797	C₂×#41	—	86	8	no	—
798	C₂²×Q₈	—	43	1	no	—
799	C₂²×Q₈	—	43	1	no	—
800	C₂²×Q₈	C₂²×D₄₃	1	1	yes	characteristic
801	C₂²×Q₈	C₂²×D₄₃	1	2	yes	—
802	C₂²×D₄	—	43	2	no	—
803	C₂²×D₄	—	43	2	no	—
804	C₂²×D₄	—	43	1	no	—
805	C₂²×D₄	—	43	2	no	—
806	C₂²×D₄	—	43	1	no	—
807	C₂²×D₄	—	43	8	no	—
808	C₂²×D₄	—	43	1	no	—
809	C₂²×D₄	—	43	2	no	—
810	C₂²×D₄	—	43	1	no	—
811	C₂²×D₄	—	86	8	no	—
812	C₂²×D₄	C₂²×D₄₃	1	1	yes	characteristic
813	C₂²×D₄	C₂²×D₄₃	1	2	yes	—
814	C₂³×C₄	—	43	2	no	—
815	C₂³×C₄	—	43	2	no	—
816	C₂³×C₄	—	43	2	no	—
817	C₂³×C₄	—	43	2	no	—
818	C₂³×C₄	—	43	1	no	—
819	C₂³×C₄	—	43	1	no	—
820	C₂³×C₄	—	43	2	no	—
821	C₂³×C₄	—	43	2	no	—
822	C₂³×C₄	—	43	2	no	—
823	C₂³×C₄	—	43	2	no	—
824	C₂³×C₄	—	43	1	no	—
825	C₂³×C₄	—	43	1	no	—
826	C₂³×C₄	C₂²×D₄₃	1	1	yes	characteristic
827	C₂³×C₄	C₂²×D₄₃	1	2	yes	—
828	C₄⋊Q₈	—	43	8	no	—
829	C₄⋊Q₈	C₂²×D₄₃	1	8	yes	complemented
830	#126	—	43	8	no	—
831	#126	—	43	16	no	—
832	#126	—	43	16	no	—
833	#126	—	43	16	no	—
834	#126	—	43	16	no	—
835	#126	—	43	16	no	—
836	#126	—	43	16	no	—
837	#126	—	43	16	no	—
838	#126	—	43	8	no	—
839	#126	—	43	16	no	—
840	#126	—	43	16	no	—
841	#126	C₂²×D₄₃	1	16	yes	complemented
842	#125	—	43	8	no	—
843	#125	—	43	8	no	—
844	#125	—	43	16	no	—
845	#125	—	43	16	no	—
846	#125	—	43	8	no	—
847	#125	—	43	16	no	—
848	#124	—	43	16	no	—
849	#124	—	43	8	no	—
850	#124	—	43	8	no	—
851	#124	C₂²×D₄₃	1	8	yes	—
852	#124	C₂²×D₄₃	1	16	yes	complemented
853	#123	—	43	8	no	—
854	#123	—	43	16	no	—
855	#123	—	43	16	no	—
856	#123	—	43	16	no	—
857	#123	—	43	16	no	—
858	#123	—	43	8	no	—
859	#123	—	43	16	no	—
860	#123	—	43	16	no	—
861	#123	—	43	16	no	—
862	#123	C₂²×D₄₃	1	16	yes	complemented
863	C₂²⋊Q₈	—	43	16	no	—
864	C₂²⋊Q₈	—	43	16	no	—
865	C₂²⋊Q₈	—	43	8	no	—
866	C₂²⋊Q₈	—	43	8	no	—
867	C₂²⋊Q₈	—	43	8	no	—
868	C₂²⋊Q₈	—	43	16	no	—
869	C₂²⋊Q₈	—	43	8	no	—
870	C₂²⋊Q₈	—	43	16	no	—
871	C₂²⋊Q₈	C₂²×D₄₃	1	8	yes	complemented
872	C₂²⋊Q₈	C₂²×D₄₃	1	16	yes	complemented
873	#121	—	43	8	no	—
874	#121	—	43	16	no	—
875	#121	—	43	16	no	—
876	#121	—	43	8	no	—
877	#121	—	43	16	no	—
878	#121	—	43	16	no	—
879	#121	C₂²×D₄₃	1	8	yes	—
880	#120	—	43	16	no	—
881	#120	—	43	16	no	—
882	C₄×Q₈	—	43	8	no	—
883	C₄×Q₈	—	43	16	no	—
884	C₄×Q₈	—	43	8	no	—
885	C₄×Q₈	—	43	8	no	—
886	C₄×Q₈	—	43	8	no	—
887	C₄×Q₈	C₂²×D₄₃	1	8	yes	complemented
888	C₄×D₄	—	43	8	no	—
889	C₄×D₄	—	43	16	no	—
890	C₄×D₄	—	43	16	no	—
891	C₄×D₄	—	43	8	no	—
892	C₄×D₄	—	43	8	no	—
893	C₄×D₄	—	43	16	no	—
894	C₄×D₄	—	43	8	no	—
895	C₄×D₄	—	43	16	no	—
896	C₄×D₄	—	43	8	no	—
897	C₄×D₄	—	43	16	no	—
898	C₄×D₄	—	43	16	no	—
899	C₄×D₄	—	43	16	no	—
900	C₄×D₄	—	43	8	no	—
901	C₄×D₄	—	43	16	no	—
902	C₄×D₄	—	43	8	no	—
903	C₄×D₄	—	43	8	no	—
904	C₄×D₄	C₂²×D₄₃	1	8	yes	—
905	#117	—	43	16	no	—
906	#117	—	43	16	no	—
907	#117	—	43	8	no	—
908	#117	—	43	8	no	—
909	#117	—	43	16	no	—
910	#117	—	43	16	no	—
911	#117	—	43	16	no	—
912	#117	—	43	8	no	—
913	#117	C₂²×D₄₃	1	8	yes	complemented
914	C₂×C₄⋊C₄	—	43	2	no	—
915	C₂×C₄⋊C₄	—	43	1	no	—
916	C₂×C₄⋊C₄	—	43	1	no	—
917	C₂×C₄⋊C₄	—	43	1	no	—
918	C₂×C₄⋊C₄	—	43	2	no	—
919	C₂×C₄⋊C₄	—	43	2	no	—
920	C₂×C₄⋊C₄	—	43	1	no	—
921	C₂×C₄⋊C₄	—	43	2	no	—
922	C₂×C₄⋊C₄	—	43	2	no	—
923	C₂×C₄⋊C₄	—	43	8	no	—
924	C₂×C₄⋊C₄	—	43	2	no	—
925	C₂×C₄⋊C₄	—	43	2	no	—
926	C₂×C₄⋊C₄	—	43	1	no	—
927	C₂×C₄⋊C₄	—	43	1	no	—
928	C₂×C₄⋊C₄	—	43	1	no	—
929	C₂×C₄⋊C₄	—	43	2	no	—
930	C₂×C₄⋊C₄	—	43	2	no	—
931	C₂×C₄⋊C₄	—	43	2	no	—
932	C₂×C₄⋊C₄	—	43	2	no	—
933	C₂×C₄⋊C₄	—	43	1	no	—
934	C₂×C₄⋊C₄	—	43	2	no	—
935	C₂×C₄⋊C₄	—	43	1	no	—
936	C₂×C₄⋊C₄	—	43	1	no	—
937	C₂×C₄⋊C₄	—	43	2	no	—
938	C₂×C₄⋊C₄	—	43	16	no	—
939	C₂×C₄⋊C₄	—	43	16	no	—
940	C₂×C₄⋊C₄	—	43	16	no	—
941	C₂×C₄⋊C₄	C₂²×D₄₃	1	1	yes	characteristic
942	C₂×C₄⋊C₄	C₂²×D₄₃	1	2	yes	—
943	C₂×C₄⋊C₄	C₂²×D₄₃	1	2	yes	—
944	C₂×C₄⋊C₄	C₂²×D₄₃	1	1	yes	characteristic
945	C₂×C₄⋊C₄	C₂²×D₄₃	1	1	yes	characteristic
946	C₂×C₄⋊C₄	C₂²×D₄₃	1	1	yes	characteristic
947	C₂×C₄⋊C₄	C₂²×D₄₃	1	2	yes	—
948	C₂×C₂²⋊C₄	—	43	2	no	—
949	C₂×C₂²⋊C₄	—	43	2	no	—
950	C₂×C₂²⋊C₄	—	43	2	no	—
951	C₂×C₂²⋊C₄	—	43	1	no	—
952	C₂×C₂²⋊C₄	—	43	2	no	—
953	C₂×C₂²⋊C₄	—	43	1	no	—
954	C₂×C₂²⋊C₄	—	43	1	no	—
955	C₂×C₂²⋊C₄	—	43	2	no	—
956	C₂×C₂²⋊C₄	—	43	1	no	—
957	C₂×C₂²⋊C₄	—	43	1	no	—
958	C₂×C₂²⋊C₄	—	43	1	no	—
959	C₂×C₂²⋊C₄	—	43	2	no	—
960	C₂×C₂²⋊C₄	—	43	2	no	—
961	C₂×C₂²⋊C₄	—	43	16	no	—
962	C₂×C₂²⋊C₄	—	43	2	no	—
963	C₂×C₂²⋊C₄	—	43	2	no	—
964	C₂×C₂²⋊C₄	—	43	2	no	—
965	C₂×C₂²⋊C₄	—	43	2	no	—
966	C₂×C₂²⋊C₄	—	43	2	no	—
967	C₂×C₂²⋊C₄	—	43	1	no	—
968	C₂×C₂²⋊C₄	—	43	2	no	—
969	C₂×C₂²⋊C₄	—	43	1	no	—
970	C₂×C₂²⋊C₄	—	43	16	no	—
971	C₂×C₂²⋊C₄	—	43	16	no	—
972	C₂×C₂²⋊C₄	—	43	16	no	—
973	C₂×C₂²⋊C₄	C₂²×D₄₃	1	2	yes	—
974	C₂×C₂²⋊C₄	C₂²×D₄₃	1	2	yes	—
975	C₂×C₂²⋊C₄	C₂²×D₄₃	1	2	yes	—
976	C₂×C₂²⋊C₄	C₂²×D₄₃	1	2	yes	—
977	C₂×C₂²⋊C₄	C₂²×D₄₃	1	2	yes	—
978	C₂×C₂²⋊C₄	C₂²×D₄₃	1	1	yes	characteristic
979	C₂×C₂²⋊C₄	C₂²×D₄₃	1	1	yes	characteristic
980	C₂×C₄²	—	43	1	no	—
981	C₂×C₄²	—	43	2	no	—
982	C₂×C₄²	—	43	2	no	—
983	C₂×C₄²	—	43	2	no	—
984	C₂×C₄²	—	43	2	no	—
985	C₂×C₄²	—	43	2	no	—
986	C₂×C₄²	—	43	1	no	—
987	C₂×C₄²	—	43	1	no	—
988	C₂×C₄²	—	43	1	no	—
989	C₂×C₄²	—	43	16	no	—
990	C₂×C₄²	—	43	8	no	—
991	C₂×C₄²	C₂²×D₄₃	1	1	yes	characteristic
992	C₂×C₄²	C₂²×D₄₃	1	1	yes	characteristic
993	C₂×C₄²	C₂²×D₄₃	1	2	yes	—
994	C₂⁴	—	43	2	no	—
995	C₂⁴	—	43	1	no	—
996	C₂⁴	—	43	1	no	—
997	C₂⁴	—	43	8	no	—
998	C₂⁴	—	86	8	no	—
999	C₂⁴	—	172	4	no	—
1000	C₂⁴	—	172	4	no	—
1001	C₂⁴	C₂³×D₄₃	1	2	yes	—
1002	C₂⁴	C₂³×D₄₃	1	1	yes	characteristic
1003	#41	—	86	32	no	—
1004	#41	—	86	32	no	—
1005	C₂×Q₈	—	2	4	no	—
1006	C₂×Q₈	—	4	4	no	—
1007	C₂×Q₈	—	43	4	no	—
1008	C₂×Q₈	—	43	4	no	—
1009	C₂×Q₈	—	86	4	no	—
1010	C₂×Q₈	—	172	2	no	—
1011	C₂×Q₈	C₂³×D₄₃	1	4	yes	—
1012	C₂×Q₈	C₂³×D₄₃	1	8	yes	—
1013	C₂×D₄	—	2	4	no	—
1014	C₂×D₄	—	4	4	no	—
1015	C₂×D₄	—	43	8	no	—
1016	C₂×D₄	—	43	8	no	—
1017	C₂×D₄	—	43	4	no	—
1018	C₂×D₄	—	43	8	no	—
1019	C₂×D₄	—	43	4	no	—
1020	C₂×D₄	—	43	8	no	—
1021	C₂×D₄	—	43	4	no	—
1022	C₂×D₄	—	43	8	no	—
1023	C₂×D₄	—	43	4	no	—
1024	C₂×D₄	—	86	8	no	—
1025	C₂×D₄	—	86	32	no	—
1026	C₂×D₄	—	86	8	no	—
1027	C₂×D₄	—	86	8	no	—
1028	C₂×D₄	—	172	2	no	—
1029	C₂×D₄	—	172	2	no	—
1030	C₂×D₄	—	172	4	no	—
1031	C₂×D₄	—	172	2	no	—
1032	C₂×D₄	C₂³×D₄₃	1	4	yes	—
1033	C₂×D₄	C₂³×D₄₃	1	8	yes	—
1034	C₂²×C₄	—	2	4	no	—
1035	C₂²×C₄	—	4	4	no	—
1036	C₂²×C₄	—	43	1	no	—
1037	C₂²×C₄	—	43	1	no	—
1038	C₂²×C₄	—	43	2	no	—
1039	C₂²×C₄	—	43	2	no	—
1040	C₂²×C₄	—	43	1	no	—
1041	C₂²×C₄	—	43	1	no	—
1042	C₂²×C₄	—	43	1	no	—
1043	C₂²×C₄	—	43	1	no	—
1044	C₂²×C₄	—	43	2	no	—
1045	C₂²×C₄	—	43	8	no	—
1046	C₂²×C₄	—	43	8	no	—
1047	C₂²×C₄	—	43	8	no	—
1048	C₂²×C₄	—	43	4	no	—
1049	C₂²×C₄	—	43	8	no	—
1050	C₂²×C₄	—	43	4	no	—
1051	C₂²×C₄	—	43	8	no	—
1052	C₂²×C₄	—	43	8	no	—
1053	C₂²×C₄	—	43	4	no	—
1054	C₂²×C₄	—	43	4	no	—
1055	C₂²×C₄	—	43	8	no	—
1056	C₂²×C₄	—	43	8	no	—
1057	C₂²×C₄	—	86	8	no	—
1058	C₂²×C₄	—	86	8	no	—
1059	C₂²×C₄	—	86	4	no	—
1060	C₂²×C₄	—	86	4	no	—
1061	C₂²×C₄	—	172	2	no	—
1062	C₂²×C₄	—	172	4	no	—
1063	C₂²×C₄	—	172	4	no	—
1064	C₂²×C₄	—	172	4	no	—
1065	C₂²×C₄	—	172	2	no	—
1066	C₂²×C₄	—	172	4	no	—
1067	C₂²×C₄	—	172	4	no	—
1068	C₂²×C₄	—	172	4	no	—
1069	C₂²×C₄	C₂³×D₄₃	1	4	yes	—
1070	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
1071	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
1072	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
1073	C₂²×C₄	C₂³×D₄₃	1	2	yes	—
1074	C₂²×C₄	C₂³×D₄₃	1	2	yes	—
1075	C₂²×C₄	C₂³×D₄₃	1	2	yes	—
1076	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
1077	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
1078	C₂²×C₄	C₂³×D₄₃	1	8	yes	—
1079	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
1080	C₄⋊C₄	—	43	8	no	—
1081	C₄⋊C₄	—	43	4	no	—
1082	C₄⋊C₄	—	43	4	no	—
1083	C₄⋊C₄	—	43	4	no	—
1084	C₄⋊C₄	—	43	8	no	—
1085	C₄⋊C₄	—	43	8	no	—
1086	C₄⋊C₄	—	43	4	no	—
1087	C₄⋊C₄	—	43	8	no	—
1088	C₄⋊C₄	—	43	8	no	—
1089	C₄⋊C₄	—	43	8	no	—
1090	C₄⋊C₄	—	43	8	no	—
1091	C₄⋊C₄	—	43	4	no	—
1092	C₄⋊C₄	—	43	4	no	—
1093	C₄⋊C₄	—	43	4	no	—
1094	C₄⋊C₄	—	43	8	no	—
1095	C₄⋊C₄	—	43	8	no	—
1096	C₄⋊C₄	—	43	8	no	—
1097	C₄⋊C₄	—	43	8	no	—
1098	C₄⋊C₄	—	43	4	no	—
1099	C₄⋊C₄	—	43	8	no	—
1100	C₄⋊C₄	—	43	4	no	—
1101	C₄⋊C₄	—	43	4	no	—
1102	C₄⋊C₄	—	43	8	no	—
1103	C₄⋊C₄	C₂³×D₄₃	1	4	yes	—
1104	C₄⋊C₄	C₂³×D₄₃	1	8	yes	—
1105	C₄⋊C₄	C₂³×D₄₃	1	8	yes	—
1106	C₄⋊C₄	C₂³×D₄₃	1	4	yes	—
1107	C₄⋊C₄	C₂³×D₄₃	1	4	yes	—
1108	C₄⋊C₄	C₂³×D₄₃	1	4	yes	—
1109	C₄⋊C₄	C₂³×D₄₃	1	8	yes	—
1110	C₂²⋊C₄	—	43	8	no	—
1111	C₂²⋊C₄	—	43	8	no	—
1112	C₂²⋊C₄	—	43	8	no	—
1113	C₂²⋊C₄	—	43	4	no	—
1114	C₂²⋊C₄	—	43	8	no	—
1115	C₂²⋊C₄	—	43	4	no	—
1116	C₂²⋊C₄	—	43	4	no	—
1117	C₂²⋊C₄	—	43	8	no	—
1118	C₂²⋊C₄	—	43	4	no	—
1119	C₂²⋊C₄	—	43	4	no	—
1120	C₂²⋊C₄	—	43	4	no	—
1121	C₂²⋊C₄	—	43	8	no	—
1122	C₂²⋊C₄	—	43	8	no	—
1123	C₂²⋊C₄	—	43	8	no	—
1124	C₂²⋊C₄	—	43	8	no	—
1125	C₂²⋊C₄	—	43	8	no	—
1126	C₂²⋊C₄	—	43	8	no	—
1127	C₂²⋊C₄	—	43	8	no	—
1128	C₂²⋊C₄	—	43	4	no	—
1129	C₂²⋊C₄	—	43	8	no	—
1130	C₂²⋊C₄	—	43	4	no	—
1131	C₂²⋊C₄	C₂³×D₄₃	1	8	yes	—
1132	C₂²⋊C₄	C₂³×D₄₃	1	8	yes	—
1133	C₂²⋊C₄	C₂³×D₄₃	1	8	yes	—
1134	C₂²⋊C₄	C₂³×D₄₃	1	8	yes	—
1135	C₂²⋊C₄	C₂³×D₄₃	1	8	yes	—
1136	C₂²⋊C₄	C₂³×D₄₃	1	4	yes	—
1137	C₂²⋊C₄	C₂³×D₄₃	1	4	yes	—
1138	C₄²	—	43	4	no	—
1139	C₄²	—	43	4	no	—
1140	C₄²	—	43	8	no	—
1141	C₄²	—	43	8	no	—
1142	C₄²	—	43	4	no	—
1143	C₄²	—	43	8	no	—
1144	C₄²	—	43	8	no	—
1145	C₄²	—	43	8	no	—
1146	C₄²	—	43	4	no	—
1147	C₄²	C₂³×D₄₃	1	4	yes	—
1148	C₄²	C₂³×D₄₃	1	8	yes	—
1149	C₄²	C₂³×D₄₃	1	4	yes	—
1150	C₂³	—	2	2	no	—
1151	C₂³	—	2	4	no	—
1152	C₂³	—	2	4	no	—
1153	C₂³	—	2	2	no	—
1154	C₂³	—	2	2	no	—
1155	C₂³	—	2	4	no	—
1156	C₂³	—	43	8	no	—
1157	C₂³	—	43	4	no	—
1158	C₂³	—	43	2	no	—
1159	C₂³	—	43	2	no	—
1160	C₂³	—	86	16	no	—
1161	C₂³	—	86	4	no	—
1162	C₂³	—	86	4	no	—
1163	C₂³	—	86	2	no	—
1164	C₂³	—	86	2	no	—
1165	C₂³	—	86	2	no	—
1166	C₂³	—	86	2	no	—
1167	C₂³	—	86	2	no	—
1168	C₂³	—	86	2	no	—
1169	C₂³	—	344	16	no	—
1170	C₂³	—	172	8	no	—
1171	C₂³	—	172	8	no	—
1172	C₂³	C₂⁴×D₄₃	1	4	yes	—
1173	C₂³	C₂⁴×D₄₃	1	2	yes	—
1174	C₂³	C₂⁴×D₄₃	1	1	yes	characteristic
1175	Q₈	—	2	8	no	—
1176	Q₈	—	4	8	no	—
1177	Q₈	—	86	8	no	—
1178	Q₈	—	172	4	no	—
1179	D₄	—	2	8	no	—
1180	D₄	—	4	8	no	—
1181	D₄	—	43	16	no	—
1182	D₄	—	86	16	no	—
1183	D₄	—	86	16	no	—
1184	D₄	—	86	16	no	—
1185	D₄	—	172	4	no	—
1186	D₄	—	172	4	no	—
1187	D₄	—	172	8	no	—
1188	D₄	—	172	4	no	—
1189	C₂×C₄	—	2	2	no	—
1190	C₂×C₄	—	2	4	no	—
1191	C₂×C₄	—	2	2	no	—
1192	C₂×C₄	—	2	4	no	—
1193	C₂×C₄	—	2	4	no	—
1194	C₂×C₄	—	2	2	no	—
1195	C₂×C₄	—	2	2	no	—
1196	C₂×C₄	—	2	2	no	—
1197	C₂×C₄	—	2	8	no	—
1198	C₂×C₄	—	4	8	no	—
1199	C₂×C₄	—	43	2	no	—
1200	C₂×C₄	—	43	2	no	—
1201	C₂×C₄	—	43	4	no	—
1202	C₂×C₄	—	43	4	no	—
1203	C₂×C₄	—	43	2	no	—
1204	C₂×C₄	—	43	2	no	—
1205	C₂×C₄	—	43	2	no	—
1206	C₂×C₄	—	43	2	no	—
1207	C₂×C₄	—	43	4	no	—
1208	C₂×C₄	—	86	16	no	—
1209	C₂×C₄	—	86	16	no	—
1210	C₂×C₄	—	86	2	no	—
1211	C₂×C₄	—	86	2	no	—
1212	C₂×C₄	—	86	4	no	—
1213	C₂×C₄	—	86	2	no	—
1214	C₂×C₄	—	86	2	no	—
1215	C₂×C₄	—	86	4	no	—
1216	C₂×C₄	—	86	4	no	—
1217	C₂×C₄	—	86	2	no	—
1218	C₂×C₄	—	86	2	no	—
1219	C₂×C₄	—	86	8	no	—
1220	C₂×C₄	—	86	8	no	—
1221	C₂×C₄	—	172	4	no	—
1222	C₂×C₄	—	172	8	no	—
1223	C₂×C₄	—	172	8	no	—
1224	C₂×C₄	—	172	8	no	—
1225	C₂×C₄	—	172	4	no	—
1226	C₂×C₄	—	172	8	no	—
1227	C₂×C₄	—	172	8	no	—
1228	C₂×C₄	—	172	8	no	—
1229	C₂×C₄	#41×D₄₃	1	4	yes	—
1230	C₂×C₄	C₂⁴×D₄₃	1	2	yes	—
1231	C₂×C₄	C₂⁴×D₄₃	1	2	yes	—
1232	C₂×C₄	C₂⁴×D₄₃	1	2	yes	—
1233	C₂×C₄	C₂⁴×D₄₃	1	4	yes	—
1234	C₂×C₄	C₂⁴×D₄₃	1	4	yes	—
1235	C₂×C₄	C₂⁴×D₄₃	1	4	yes	—
1236	C₂×C₄	C₂⁴×D₄₃	1	2	yes	—
1237	C₂×C₄	C₂⁴×D₄₃	1	2	yes	—
1238	C₂×C₄	C₂⁴×D₄₃	1	2	yes	—
1239	C₂²	—	2	2	no	—
1240	C₂²	—	2	4	no	—
1241	C₂²	—	2	4	no	—
1242	C₂²	—	2	2	no	—
1243	C₂²	—	2	2	no	—
1244	C₂²	—	2	4	no	—
1245	C₂²	—	4	8	no	—
1246	C₂²	—	4	4	no	—
1247	C₂²	—	43	8	no	—
1248	C₂²	—	86	4	no	—
1249	C₂²	—	86	4	no	—
1250	C₂²	—	86	16	no	—
1251	C₂²	—	86	2	no	—
1252	C₂²	—	86	2	no	—
1253	C₂²	—	86	2	no	—
1254	C₂²	—	86	2	no	—
1255	C₂²	—	86	2	no	—
1256	C₂²	—	86	2	no	—
1257	C₂²	—	344	16	no	—
1258	C₂²	—	172	4	no	—
1259	C₂²	—	172	4	no	—
1260	C₂²	C₂×#41×D₄₃	1	2	yes	—
1261	C₂²	#14583734	1	2	yes	—
1262	C₂²	#14583736	1	2	yes	—
1263	C₂²	C₂⁵×D₄₃	1	1	yes	characteristic
1264	C₄	—	2	2	no	—
1265	C₄	—	2	4	no	—
1266	C₄	—	2	2	no	—
1267	C₄	—	2	4	no	—
1268	C₄	—	2	4	no	—
1269	C₄	—	2	2	no	—
1270	C₄	—	2	2	no	—
1271	C₄	—	2	2	no	—
1272	C₄	—	86	2	no	—
1273	C₄	—	86	2	no	—
1274	C₄	—	86	4	no	—
1275	C₄	—	86	2	no	—
1276	C₄	—	86	2	no	—
1277	C₄	—	86	4	no	—
1278	C₄	—	86	4	no	—
1279	C₄	—	86	2	no	—
1280	C₄	—	86	2	no	—
1281	C₄	C₂×#41×D₄₃	1	4	yes	—
1282	C₂	—	4	4	no	—
1283	C₂	—	4	2	no	—
1284	C₂	—	86	8	no	—
1285	C₂	—	172	2	no	—
1286	C₂	—	172	2	no	—
1287	C₂	#19148661	1	4	yes	direct product factor
1288	C₂	C₂²×#41×D₄₃	1	1	yes	characteristic
1289	C₂	C₂×#14583734	1	1	yes	characteristic
1290	C₂	C₂×#14583736	1	1	yes	characteristic

	subgroup	G/H
center	C₂³	C₂⁴×D₄₃
commutator, cosocle	C₂²×C₄₃	C₂⁶
Frattini	C₂²	C₂⁵×D₄₃
Fitting	C₂×C₄₃×#542	C₂
socle	C₂³×C₄₃	C₂⁵
hypercenter	C₂×#542	D₄₃
hypocenter	C₄₃	C₂×#3521
LCS	G ▷ C₂²×C₄₃ ▷ C₄₃
UCS	C₁ ◁ C₂³ ◁ C₂×#542

Complements

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

N	H ≅ G/N	type
1. #19148661	C₂	direct (N × H)
2. C₂×#14583623	C₂	semidirect
3. C₂×#14583618	C₂	semidirect
4. C₂×#14583610	C₂	semidirect
5. C₂×#14583601	C₂	semidirect
6. C₂×#14583594	C₂	semidirect
7. C₂×#14583591	C₂	semidirect
8. C₂×#14583583	C₂	semidirect
9. C₂×#14583576	C₂	semidirect
10. C₂×#14583572	C₂	semidirect
11. C₂×#14583551	C₂	semidirect
12. C₂×#14583546	C₂	semidirect
13. C₂×#14583542	C₂	semidirect
14. C₂×#14583507	C₂	semidirect
15. C₂×#14583490	C₂	semidirect
16. C₂×#14583483	C₂	semidirect
17. C₂×#14583431	C₂	semidirect
18. C₂×#14583428	C₂	semidirect
19. C₂×#14583427	C₂	semidirect
20. C₂×#126×D₄₃	C₂	semidirect
21. C₂×#14583379	C₂	semidirect
22. C₂×#14583371	C₂	semidirect
23. C₂×C₄×#10621902	C₂	semidirect
24. C₂×C₄₃×#542	C₂	semidirect
28. #14583623	C₂²	semidirect
29. #14583618	C₂²	semidirect
30. #14583610	C₂²	semidirect
31. #14583601	C₂²	semidirect
32. #14583594	C₂²	semidirect
33. #14583591	C₂²	semidirect
34. #14583583	C₂²	semidirect
35. #14583576	C₂²	semidirect
36. #14583572	C₂²	semidirect
37. #14583551	C₂²	semidirect
38. #14583546	C₂²	semidirect
39. #14583542	C₂²	semidirect
40. #14583507	C₂²	semidirect
41. #14583490	C₂²	semidirect
42. #14583483	C₂²	semidirect
43. C₂×#13063323	C₂²	semidirect
44. #14583431	C₂²	semidirect
45. #14583428	C₂²	semidirect
46. #14583427	C₂²	semidirect
51. C₂×#13063320	C₂²	semidirect
53. C₂×#13063318	C₂²	semidirect
54. C₂×#13063318	C₂²	semidirect
55. C₂×#13063318	C₂²	semidirect
56. C₂×#13063318	C₂²	semidirect
57. C₂×#13063318	C₂²	semidirect
58. #126×D₄₃	C₂²	semidirect
59. C₂×#13063317	C₂²	semidirect
60. C₂×#13063316	C₂²	semidirect
61. C₂×#13063316	C₂²	semidirect
62. C₂×#13063316	C₂²	semidirect
63. C₂×#13063315	C₂²	semidirect
64. C₂×#13063315	C₂²	semidirect
69. C₂×#13063310	C₂²	semidirect
71. C₂×#13063309	C₂²	semidirect
74. C₂×#13063307	C₂²	semidirect
75. C₂×#13063307	C₂²	semidirect
76. C₂×#13063307	C₂²	semidirect
78. C₂×#13063305	C₂²	semidirect
79. C₂×#13063305	C₂²	semidirect
80. C₂×#13063303	C₂²	semidirect
81. C₂×#13063302	C₂²	semidirect
83. C₂×#13063301	C₂²	semidirect
84. C₂×#13063301	C₂²	semidirect
87. C₂×#13063298	C₂²	semidirect
88. C₂×#13063297	C₂²	semidirect
93. #14583379	C₂²	semidirect
94. #14583371	C₂²	semidirect
95. C₄×#10621902	C₂²	semidirect
96. C₂×Q₈×Dic₄₃	C₂²	semidirect
97. C₂×Q₈×Dic₄₃	C₂²	semidirect
98. C₂×C₄×Dic₈₆	C₂²	semidirect
99. C₂×C₄×Dic₈₆	C₂²	semidirect
100. C₂×C₄×Dic₈₆	C₂²	semidirect
104. C₂×C₄×D₁₇₂	C₂²	semidirect
106. C₂×D₄×Dic₄₃	C₂²	semidirect
109. C₂×#13063287	C₂²	semidirect
112. C₂×C₄×C₂²⋊D₄₃	C₂²	semidirect
113. C₂×C₄×C₂²⋊D₄₃	C₂²	semidirect
115. C₂×(C₂²⋊D₄₃)⋊C₄	C₂²	semidirect
116. C₂×(C₂²⋊D₄₃)⋊C₄	C₂²	semidirect
117. C₂×#13063284	C₂²	semidirect
119. C₂×#13063283	C₂²	semidirect
120. C₂×#13063283	C₂²	semidirect
121. C₂×#13063283	C₂²	semidirect
123. C₂×#13063281	C₂²	semidirect
124. C₂×#13063281	C₂²	semidirect
125. C₂²×C₄⋊Dic₄₃	C₂²	semidirect
126. C₂×C₄⋊C₄×D₄₃	C₂²	semidirect
127. C₂×C₄⋊C₄×D₄₃	C₂²	semidirect
128. C₂×C₄⋊C₄×D₄₃	C₂²	semidirect
133. C₂×C₄²×D₄₃	C₂²	semidirect
134. C₂×C₄²×D₄₃	C₂²	semidirect
135. C₄₃×#542	C₂²	semidirect
136. C₂×C₄⋊Q₈×C₄₃	C₂²	semidirect
137. C₂×#126×C₄₃	C₂²	semidirect
139. C₂×#124×C₄₃	C₂²	semidirect
140. C₂×#123×C₄₃	C₂²	semidirect
141. C₂×C₂²⋊Q₈×C₄₃	C₂²	semidirect
142. C₂×C₂²⋊Q₈×C₄₃	C₂²	semidirect
144. C₂×C₄×Q₈×C₄₃	C₂²	semidirect
146. C₂×#117×C₄₃	C₂²	semidirect
176. #13063323	C₂³	semidirect
181. #13063320	C₂³	semidirect
183. #13063318	C₂³	semidirect
184. #13063318	C₂³	semidirect
185. #13063318	C₂³	semidirect
186. #13063318	C₂³	semidirect
187. #13063318	C₂³	semidirect
188. #13063317	C₂³	semidirect
189. #13063316	C₂³	semidirect
190. #13063316	C₂³	semidirect
191. #13063316	C₂³	semidirect
192. #13063315	C₂³	semidirect
193. #13063315	C₂³	semidirect
198. #13063310	C₂³	semidirect
200. #13063309	C₂³	semidirect
203. #13063307	C₂³	semidirect
204. #13063307	C₂³	semidirect
205. #13063307	C₂³	semidirect
207. #13063305	C₂³	semidirect
208. #13063305	C₂³	semidirect
209. #13063303	C₂³	semidirect
210. #13063302	C₂³	semidirect
212. #13063301	C₂³	semidirect
213. #13063301	C₂³	semidirect
216. #13063298	C₂³	semidirect
217. #13063297	C₂³	semidirect
222. Q₈×Dic₄₃	C₂³	semidirect
223. Q₈×Dic₄₃	C₂³	semidirect
224. C₄×Dic₈₆	C₂³	semidirect
225. C₄×Dic₈₆	C₂³	semidirect
226. C₄×Dic₈₆	C₂³	semidirect
230. C₄×D₁₇₂	C₂³	semidirect
232. D₄×Dic₄₃	C₂³	semidirect
235. #13063287	C₂³	semidirect
238. C₄×C₂²⋊D₄₃	C₂³	semidirect
239. C₄×C₂²⋊D₄₃	C₂³	semidirect
241. (C₂²⋊D₄₃)⋊C₄	C₂³	semidirect
242. (C₂²⋊D₄₃)⋊C₄	C₂³	semidirect
243. #13063284	C₂³	semidirect
245. #13063283	C₂³	semidirect
246. #13063283	C₂³	semidirect
247. #13063283	C₂³	semidirect
249. #13063281	C₂³	semidirect
250. #13063281	C₂³	semidirect
261. C₂×C₄⋊Dic₄₃	C₂³	semidirect
275. C₄⋊C₄×D₄₃	C₂³	semidirect
276. C₄⋊C₄×D₄₃	C₂³	semidirect
277. C₄⋊C₄×D₄₃	C₂³	semidirect
312. C₄²×D₄₃	C₂³	semidirect
313. C₄²×D₄₃	C₂³	semidirect
320. C₄⋊Q₈×C₄₃	C₂³	semidirect
321. #126×C₄₃	C₂³	semidirect
323. #124×C₄₃	C₂³	semidirect
324. #123×C₄₃	C₂³	semidirect
325. C₂²⋊Q₈×C₄₃	C₂³	semidirect
326. C₂²⋊Q₈×C₄₃	C₂³	semidirect
328. C₄×Q₈×C₄₃	C₂³	semidirect
330. #117×C₄₃	C₂³	semidirect
650. C₂×#542	D₄₃	semidirect
663. C₂×C₄₃	#3521	semidirect
685. #542	C₂×D₄₃	semidirect
690. C₂×C₄⋊Q₈	C₂×D₄₃	semidirect
706. C₂×#126	C₂×D₄₃	semidirect
717. C₂×#124	C₂×D₄₃	semidirect
727. C₂×#123	C₂×D₄₃	semidirect
736. C₂×C₂²⋊Q₈	C₂×D₄₃	semidirect
737. C₂×C₂²⋊Q₈	C₂×D₄₃	semidirect
755. C₂×C₄×Q₈	C₂×D₄₃	semidirect
781. C₂×#117	C₂×D₄₃	semidirect
792. C₄₃	C₂×#3521	semidirect
829. C₄⋊Q₈	C₂²×D₄₃	semidirect
841. #126	C₂²×D₄₃	semidirect
852. #124	C₂²×D₄₃	semidirect
862. #123	C₂²×D₄₃	semidirect
871. C₂²⋊Q₈	C₂²×D₄₃	semidirect
872. C₂²⋊Q₈	C₂²×D₄₃	semidirect
887. C₄×Q₈	C₂²×D₄₃	semidirect
913. #117	C₂²×D₄₃	semidirect
1287. C₂	#19148661	direct (N × H)

Maximal subgroups

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

subgroup	index
#19148661	2
C₂×#14583623	2
C₂×#14583618	2
C₂×#14583610	2
C₂×#14583601	2
C₂×#14583594	2
C₂×#14583591	2
C₂×#14583583	2
C₂×#14583576	2
C₂×#14583572	2
C₂×#14583551	2
C₂×#14583546	2
C₂×#14583542	2
C₂×#14583507	2
C₂×#14583490	2
C₂×#14583483	2
C₂×#14583431	2
C₂×#14583428	2
C₂×#14583427	2
C₂×#126×D₄₃	2
C₂×#14583379	2
C₂×#14583371	2
C₂×C₄×#10621902	2
C₂×C₄₃×#542	2
C₂×#3521	43

Subgroups — C2×#19148661 #26004729

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₂×#19148661 #26004729