Subgroups — C₂×#19148197 #26003675

Order 11008.

8722 conjugacy classes of subgroups.

The subgroup lattice has 1216 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#19148197	C₂	1	32	yes	maximal, direct product factor
2	C₂×#14583633	C₂	1	1	yes	maximal, characteristic, complemented
3	C₂×#14583603	C₂	1	2	yes	maximal, complemented
4	C₂×#14583594	C₂	1	2	yes	maximal, complemented
5	C₂×#14583592	C₂	1	2	yes	maximal, complemented
6	C₂×#14583580	C₂	1	1	yes	maximal, characteristic, complemented
7	C₂×#14583577	C₂	1	1	yes	maximal, characteristic, complemented
8	C₂×#14583576	C₂	1	2	yes	maximal, complemented
9	C₂×#14583538	C₂	1	2	yes	maximal, complemented
10	C₂×#14583536	C₂	1	2	yes	maximal, complemented
11	C₂×#14583531	C₂	1	1	yes	maximal, characteristic, complemented
12	C₂×#14583445	C₂	1	1	yes	maximal, characteristic, complemented
13	C₂×#14583429	C₂	1	2	yes	maximal, complemented
14	C₂×#14583427	C₂	1	2	yes	maximal, complemented
15	C₂×#14583408	C₂	1	2	yes	maximal, complemented
16	C₂×#14583406	C₂	1	1	yes	maximal, characteristic, complemented
17	C₂×C₄×#10621900	C₂	1	2	yes	maximal, complemented
18	C₂²×C₄×C₂²⋊D₄₃	C₂	1	2	yes	maximal, complemented
19	C₂×C₄×D₄×D₄₃	C₂	1	2	yes	maximal, complemented
20	C₂×C₄₃×#525	C₂	1	1	yes	maximal, characteristic, complemented
21	C₂²×#10621898	C₂²	1	1	yes	characteristic, complemented
22	C₂²×#10621900	C₂²	1	2	yes	—
23	C₂³×C₂²⋊D₄₃	C₂²	1	2	yes	—
24	C₂²×D₄×D₄₃	C₂²	1	2	yes	—
25	C₂³×C₄×D₄₃	C₂²	1	1	yes	characteristic, complemented
26	C₂³×C₄×D₄₃	C₂²	1	2	yes	complemented
27	#14583633	C₂²	1	16	yes	complemented
28	#14583603	C₂²	1	32	yes	complemented
29	#14583594	C₂²	1	32	yes	complemented
30	#14583592	C₂²	1	32	yes	complemented
31	#14583580	C₂²	1	16	yes	complemented
32	#14583577	C₂²	1	16	yes	complemented
33	#14583576	C₂²	1	32	yes	complemented
34	#14583538	C₂²	1	32	yes	complemented
35	#14583536	C₂²	1	32	yes	complemented
36	#14583531	C₂²	1	16	yes	complemented
37	#14583445	C₂²	1	16	yes	complemented
38	C₂×#13063323	C₂²	1	1	yes	characteristic, complemented
39	C₂×#13063321	C₂²	1	1	yes	characteristic
40	#14583429	C₂²	1	32	yes	complemented
41	#14583427	C₂²	1	32	yes	complemented
42	C₂×#13063320	C₂²	1	2	yes	complemented
43	C₂×#13063320	C₂²	1	2	yes	complemented
44	C₂×#13063318	C₂²	1	2	yes	complemented
45	C₂×#13063318	C₂²	1	2	yes	complemented
46	C₂×#13063315	C₂²	1	2	yes	complemented
47	C₂×#13063315	C₂²	1	2	yes	complemented
48	C₂×#13063314	C₂²	1	1	yes	characteristic, complemented
49	C₂×#13063312	C₂²	1	1	yes	characteristic, complemented
50	C₂×#13063311	C₂²	1	2	yes	complemented
51	C₂×#13063311	C₂²	1	2	yes	complemented
52	#14583408	C₂²	1	32	yes	complemented
53	#14583406	C₂²	1	16	yes	complemented
54	C₂×#13063310	C₂²	1	2	yes	complemented
55	C₂×#13063310	C₂²	1	2	yes	complemented
56	C₂×#13063309	C₂²	1	2	yes	complemented
57	C₂×#13063307	C₂²	1	2	yes	complemented
58	C₂×#13063307	C₂²	1	2	yes	complemented
59	C₂×#13063306	C₂²	1	2	yes	complemented
60	C₂×#13063306	C₂²	1	1	yes	characteristic, complemented
61	C₂×#13063306	C₂²	1	1	yes	characteristic, complemented
62	C₂×#13063303	C₂²	1	2	yes	complemented
63	C₂×#13063303	C₂²	1	2	yes	complemented
64	C₂×#13063302	C₂²	1	2	yes	complemented
65	C₂×#13063302	C₂²	1	2	yes	complemented
66	C₂×#13063301	C₂²	1	2	yes	complemented
67	C₂×#13063298	C₂²	1	2	yes	—
68	C₂×#13063298	C₂²	1	2	yes	complemented
69	C₂×#13063297	C₂²	1	2	yes	—
70	C₂×#13063297	C₂²	1	2	yes	complemented
71	C₂×#13063297	C₂²	1	2	yes	complemented
72	C₂×#13063297	C₂²	1	2	yes	complemented
73	C₂×#13063296	C₂²	1	2	yes	complemented
74	C₂×#13063295	C₂²	1	2	yes	—
75	C₂×#13063293	C₂²	1	1	yes	characteristic
76	C₂×#13063293	C₂²	1	2	yes	complemented
77	C₂×#13063293	C₂²	1	1	yes	characteristic, complemented
78	C₄×#10621900	C₂²	1	32	yes	complemented
79	C₂×C₄×Dic₈₆	C₂²	1	2	yes	complemented
80	C₂×#13063290	C₂²	1	2	yes	complemented
81	C₂×C₄×D₁₇₂	C₂²	1	2	yes	complemented
82	C₂×D₄×Dic₄₃	C₂²	1	2	yes	complemented
83	C₂×D₄×Dic₄₃	C₂²	1	2	yes	complemented
84	C₂×#13063287	C₂²	1	2	yes	complemented
85	C₂×C₄×C₂²⋊D₄₃	C₂²	1	2	yes	—
86	C₂×C₄×C₂²⋊D₄₃	C₂²	1	2	yes	—
87	C₂×C₄×C₂²⋊D₄₃	C₂²	1	2	yes	complemented
88	C₂×C₄×C₂²⋊D₄₃	C₂²	1	2	yes	complemented
89	C₂×C₄×C₂²⋊D₄₃	C₂²	1	2	yes	complemented
90	C₂×C₄×C₂²⋊D₄₃	C₂²	1	2	yes	complemented
91	C₂×C₄×C₂²⋊D₄₃	C₂²	1	2	yes	complemented
92	C₂×C₄×C₂²⋊D₄₃	C₂²	1	2	yes	complemented
93	C₂×C₄×C₂²⋊D₄₃	C₂²	1	2	yes	complemented
94	C₂×C₄×C₂²⋊D₄₃	C₂²	1	2	yes	complemented
95	C₂×C₄×C₂²⋊D₄₃	C₂²	1	32	yes	complemented
96	C₂×(C₂²⋊D₄₃)⋊C₄	C₂²	1	2	yes	—
97	C₂×(C₂²⋊D₄₃)⋊C₄	C₂²	1	2	yes	—
98	C₂×(C₂²⋊D₄₃)⋊C₄	C₂²	1	2	yes	complemented
99	C₂×(C₂²⋊D₄₃)⋊C₄	C₂²	1	2	yes	complemented
100	C₄×D₄×D₄₃	C₂²	1	32	yes	complemented
101	C₂×#13063284	C₂²	1	1	yes	characteristic, complemented
102	C₂×#13063283	C₂²	1	2	yes	complemented
103	C₂×#13063282	C₂²	1	2	yes	complemented
104	C₂×#13063281	C₂²	1	2	yes	complemented
105	C₂×#13063281	C₂²	1	2	yes	complemented
106	C₂²×Dic₄₃⋊C₄	C₂²	1	2	yes	complemented
107	C₂×C₄⋊C₄×D₄₃	C₂²	1	2	yes	complemented
108	C₂²×C₂²⋊Dic₄₃	C₂²	1	2	yes	complemented
109	C₂²×(C₂×D₄₃)⋊C₄	C₂²	1	2	yes	complemented
110	C₂×C₂²⋊C₄×D₄₃	C₂²	1	2	yes	complemented
111	C₂×C₂²⋊C₄×D₄₃	C₂²	1	2	yes	complemented
112	C₂²×C₄×Dic₄₃	C₂²	1	2	yes	complemented
113	C₂²×C₄×Dic₄₃	C₂²	1	1	yes	characteristic, complemented
114	C₂×C₄²×D₄₃	C₂²	1	2	yes	complemented
115	C₂²×#41×C₄₃	C₂²	1	1	yes	characteristic, complemented
116	C₂⁴×C₄×C₄₃	C₂²	1	1	yes	characteristic, complemented
117	C₄₃×#525	C₂²	1	16	yes	complemented
118	C₂×#123×C₄₃	C₂²	1	1	yes	characteristic, complemented
119	C₂×#123×C₄₃	C₂²	1	1	yes	characteristic, complemented
120	C₂×C₂²⋊Q₈×C₄₃	C₂²	1	2	yes	complemented
121	C₂×#121×C₄₃	C₂²	1	2	yes	complemented
122	C₂×#120×C₄₃	C₂²	1	1	yes	characteristic
123	C₂×#120×C₄₃	C₂²	1	1	yes	characteristic, complemented
124	C₂×C₄×D₄×C₄₃	C₂²	1	2	yes	complemented
125	C₂×C₄×D₄×C₄₃	C₂²	1	2	yes	complemented
126	C₂×#117×C₄₃	C₂²	1	1	yes	characteristic, complemented
127	C₂⁴×D₄₃	C₂³	1	1	yes	characteristic
128	C₂⁴×D₄₃	C₂³	1	2	yes	—
129	C₂×#10621898	—	4	4	no	—
130	C₂×#10621898	C₂³	1	8	yes	complemented
131	C₂×#10621900	—	2	16	no	—
132	C₂×#10621900	C₂³	1	16	yes	—
133	C₂²×Dic₈₆	C₂³	1	2	yes	—
134	C₂²×Dic₈₆	C₂³	1	1	yes	characteristic
135	C₂²×D₁₇₂	C₂³	1	2	yes	—
136	C₂²×D₁₇₂	C₂³	1	1	yes	characteristic
137	C₂²×C₂²⋊D₄₃	—	2	16	no	—
138	C₂²×C₂²⋊D₄₃	C₂³	1	2	yes	—
139	C₂²×C₂²⋊D₄₃	C₂³	1	2	yes	—
140	C₂²×C₂²⋊D₄₃	C₂³	1	2	yes	—
141	C₂²×C₂²⋊D₄₃	C₂³	1	2	yes	—
142	C₂²×C₂²⋊D₄₃	C₂³	1	2	yes	—
143	C₂²×C₂²⋊D₄₃	C₂³	1	16	yes	—
144	C₂²×C₂²⋊D₄₃	C₂³	1	2	yes	—
145	C₂²×C₂²⋊D₄₃	C₂³	1	2	yes	—
146	C₂×D₄×D₄₃	—	2	16	no	—
147	C₂×D₄×D₄₃	C₂³	1	16	yes	—
148	C₂³×Dic₄₃	C₂³	1	2	yes	—
149	C₂³×Dic₄₃	C₂³	1	2	yes	—
150	C₂³×Dic₄₃	C₂³	1	2	yes	—
151	C₂³×Dic₄₃	C₂³	1	2	yes	—
152	C₂³×Dic₄₃	C₂³	1	1	yes	characteristic
153	C₂²×C₄×D₄₃	—	4	4	no	—
154	C₂²×C₄×D₄₃	—	4	8	no	—
155	C₂²×C₄×D₄₃	C₂³	1	2	yes	—
156	C₂²×C₄×D₄₃	C₂³	1	2	yes	—
157	C₂²×C₄×D₄₃	C₂³	1	2	yes	—
158	C₂²×C₄×D₄₃	C₂³	1	2	yes	—
159	C₂²×C₄×D₄₃	C₂³	1	2	yes	—
160	C₂²×C₄×D₄₃	C₂³	1	2	yes	—
161	C₂²×C₄×D₄₃	C₂³	1	2	yes	—
162	C₂²×C₄×D₄₃	C₂³	1	8	yes	complemented
163	C₂²×C₄×D₄₃	C₂³	1	16	yes	complemented
164	#13063323	C₂³	1	8	yes	complemented
165	#13063321	C₂³	1	8	yes	—
166	#13063320	C₂³	1	16	yes	complemented
167	#13063320	C₂³	1	16	yes	complemented
168	#13063318	C₂³	1	16	yes	complemented
169	#13063318	C₂³	1	16	yes	complemented
170	#13063315	C₂³	1	16	yes	complemented
171	#13063315	C₂³	1	16	yes	complemented
172	#13063314	C₂³	1	8	yes	complemented
173	#13063312	C₂³	1	8	yes	complemented
174	#13063311	C₂³	1	16	yes	complemented
175	#13063311	C₂³	1	16	yes	complemented
176	#13063310	C₂³	1	16	yes	complemented
177	#13063310	C₂³	1	16	yes	complemented
178	#13063309	C₂³	1	16	yes	complemented
179	#13063307	C₂³	1	16	yes	complemented
180	#13063307	C₂³	1	16	yes	complemented
181	#13063306	C₂³	1	8	yes	complemented
182	#13063306	C₂³	1	16	yes	complemented
183	#13063306	C₂³	1	8	yes	complemented
184	#13063303	C₂³	1	16	yes	complemented
185	#13063303	C₂³	1	16	yes	complemented
186	#13063302	C₂³	1	16	yes	complemented
187	#13063302	C₂³	1	16	yes	complemented
188	#13063301	C₂³	1	16	yes	complemented
189	#13063298	C₂³	1	16	yes	—
190	#13063298	C₂³	1	16	yes	complemented
191	#13063297	C₂³	1	16	yes	—
192	#13063297	C₂³	1	16	yes	complemented
193	#13063297	C₂³	1	16	yes	complemented
194	#13063297	C₂³	1	16	yes	complemented
195	#13063296	C₂³	1	16	yes	complemented
196	#13063295	C₂³	1	16	yes	—
197	#13063293	C₂³	1	8	yes	—
198	#13063293	C₂³	1	8	yes	complemented
199	#13063293	C₂³	1	16	yes	complemented
200	C₄×Dic₈₆	C₂³	1	16	yes	complemented
201	#13063290	C₂³	1	16	yes	complemented
202	C₄×D₁₇₂	C₂³	1	16	yes	complemented
203	D₄×Dic₄₃	C₂³	1	16	yes	complemented
204	D₄×Dic₄₃	C₂³	1	16	yes	complemented
205	#13063287	C₂³	1	16	yes	complemented
206	C₄×C₂²⋊D₄₃	C₂³	1	16	yes	—
207	C₄×C₂²⋊D₄₃	C₂³	1	16	yes	—
208	C₄×C₂²⋊D₄₃	C₂³	1	16	yes	complemented
209	C₄×C₂²⋊D₄₃	C₂³	1	16	yes	complemented
210	C₄×C₂²⋊D₄₃	C₂³	1	16	yes	complemented
211	C₄×C₂²⋊D₄₃	C₂³	1	16	yes	complemented
212	C₄×C₂²⋊D₄₃	C₂³	1	16	yes	complemented
213	C₄×C₂²⋊D₄₃	C₂³	1	16	yes	complemented
214	C₄×C₂²⋊D₄₃	C₂³	1	16	yes	complemented
215	C₄×C₂²⋊D₄₃	C₂³	1	16	yes	complemented
216	(C₂²⋊D₄₃)⋊C₄	C₂³	1	16	yes	—
217	(C₂²⋊D₄₃)⋊C₄	C₂³	1	16	yes	—
218	(C₂²⋊D₄₃)⋊C₄	C₂³	1	16	yes	complemented
219	(C₂²⋊D₄₃)⋊C₄	C₂³	1	16	yes	complemented
220	#13063284	C₂³	1	8	yes	complemented
221	#13063283	C₂³	1	16	yes	complemented
222	#13063282	C₂³	1	16	yes	complemented
223	#13063281	C₂³	1	16	yes	complemented
224	#13063281	C₂³	1	16	yes	complemented
225	C₂×C₄⋊Dic₄₃	C₂³	1	2	yes	—
226	C₂×C₄⋊Dic₄₃	C₂³	1	2	yes	—
227	C₂×C₄⋊Dic₄₃	C₂³	1	2	yes	—
228	C₂×Dic₄₃⋊C₄	C₂³	1	2	yes	—
229	C₂×Dic₄₃⋊C₄	C₂³	1	2	yes	—
230	C₂×Dic₄₃⋊C₄	C₂³	1	2	yes	—
231	C₂×Dic₄₃⋊C₄	C₂³	1	2	yes	—
232	C₂×Dic₄₃⋊C₄	C₂³	1	2	yes	—
233	C₂×Dic₄₃⋊C₄	C₂³	1	2	yes	—
234	C₂×Dic₄₃⋊C₄	C₂³	1	2	yes	—
235	C₂×Dic₄₃⋊C₄	C₂³	1	2	yes	—
236	C₂×Dic₄₃⋊C₄	C₂³	1	2	yes	—
237	C₂×Dic₄₃⋊C₄	C₂³	1	2	yes	—
238	C₂×Dic₄₃⋊C₄	C₂³	1	16	yes	complemented
239	C₄⋊C₄×D₄₃	C₂³	1	16	yes	complemented
240	C₂×C₂²⋊Dic₄₃	C₂³	1	2	yes	—
241	C₂×C₂²⋊Dic₄₃	C₂³	1	2	yes	—
242	C₂×C₂²⋊Dic₄₃	C₂³	1	2	yes	—
243	C₂×C₂²⋊Dic₄₃	C₂³	1	2	yes	—
244	C₂×C₂²⋊Dic₄₃	C₂³	1	2	yes	—
245	C₂×C₂²⋊Dic₄₃	C₂³	1	2	yes	—
246	C₂×C₂²⋊Dic₄₃	C₂³	1	1	yes	characteristic
247	C₂×C₂²⋊Dic₄₃	C₂³	1	1	yes	characteristic
248	C₂×C₂²⋊Dic₄₃	C₂³	1	16	yes	complemented
249	C₂×(C₂×D₄₃)⋊C₄	C₂³	1	2	yes	—
250	C₂×(C₂×D₄₃)⋊C₄	C₂³	1	2	yes	—
251	C₂×(C₂×D₄₃)⋊C₄	C₂³	1	2	yes	—
252	C₂×(C₂×D₄₃)⋊C₄	C₂³	1	2	yes	—
253	C₂×(C₂×D₄₃)⋊C₄	C₂³	1	2	yes	—
254	C₂×(C₂×D₄₃)⋊C₄	C₂³	1	2	yes	—
255	C₂×(C₂×D₄₃)⋊C₄	C₂³	1	2	yes	—
256	C₂×(C₂×D₄₃)⋊C₄	C₂³	1	2	yes	—
257	C₂×(C₂×D₄₃)⋊C₄	C₂³	1	2	yes	—
258	C₂×(C₂×D₄₃)⋊C₄	C₂³	1	2	yes	—
259	C₂×(C₂×D₄₃)⋊C₄	C₂³	1	16	yes	complemented
260	C₂²⋊C₄×D₄₃	C₂³	1	16	yes	complemented
261	C₂²⋊C₄×D₄₃	C₂³	1	16	yes	complemented
262	C₂×C₄×Dic₄₃	C₂³	1	2	yes	—
263	C₂×C₄×Dic₄₃	C₂³	1	2	yes	—
264	C₂×C₄×Dic₄₃	C₂³	1	2	yes	—
265	C₂×C₄×Dic₄₃	C₂³	1	1	yes	characteristic
266	C₂×C₄×Dic₄₃	C₂³	1	2	yes	—
267	C₂×C₄×Dic₄₃	C₂³	1	2	yes	—
268	C₂×C₄×Dic₄₃	C₂³	1	1	yes	characteristic
269	C₂×C₄×Dic₄₃	C₂³	1	2	yes	—
270	C₂×C₄×Dic₄₃	C₂³	1	16	yes	complemented
271	C₂×C₄×Dic₄₃	C₂³	1	8	yes	complemented
272	C₄²×D₄₃	C₂³	1	16	yes	complemented
273	C₂⁵×C₄₃	C₂³	1	1	yes	characteristic
274	C₂×#41×C₄₃	—	4	4	no	—
275	C₂×#41×C₄₃	C₂³	1	8	yes	complemented
276	C₂²×Q₈×C₄₃	C₂³	1	1	yes	characteristic
277	C₂²×D₄×C₄₃	C₂³	1	2	yes	—
278	C₂²×D₄×C₄₃	C₂³	1	2	yes	—
279	C₂²×D₄×C₄₃	C₂³	1	1	yes	characteristic
280	C₂²×D₄×C₄₃	C₂³	1	1	yes	characteristic
281	C₂²×D₄×C₄₃	C₂³	1	1	yes	characteristic
282	C₂³×C₄×C₄₃	—	4	4	no	—
283	C₂³×C₄×C₄₃	C₂³	1	1	yes	characteristic
284	C₂³×C₄×C₄₃	C₂³	1	2	yes	—
285	C₂³×C₄×C₄₃	C₂³	1	1	yes	characteristic
286	C₂³×C₄×C₄₃	C₂³	1	1	yes	characteristic
287	C₂³×C₄×C₄₃	C₂³	1	2	yes	—
288	C₂³×C₄×C₄₃	C₂³	1	1	yes	characteristic
289	C₂³×C₄×C₄₃	C₂³	1	8	yes	complemented
290	#123×C₄₃	C₂³	1	8	yes	complemented
291	#123×C₄₃	C₂³	1	8	yes	complemented
292	C₂²⋊Q₈×C₄₃	C₂³	1	16	yes	complemented
293	#121×C₄₃	C₂³	1	16	yes	complemented
294	#120×C₄₃	C₂³	1	8	yes	—
295	#120×C₄₃	C₂³	1	8	yes	complemented
296	C₄×D₄×C₄₃	C₂³	1	16	yes	complemented
297	C₄×D₄×C₄₃	C₂³	1	16	yes	complemented
298	#117×C₄₃	C₂³	1	8	yes	complemented
299	C₂×C₄⋊C₄×C₄₃	C₂³	1	2	yes	—
300	C₂×C₄⋊C₄×C₄₃	C₂³	1	2	yes	—
301	C₂×C₄⋊C₄×C₄₃	C₂³	1	2	yes	—
302	C₂×C₂²⋊C₄×C₄₃	C₂³	1	1	yes	characteristic
303	C₂×C₂²⋊C₄×C₄₃	C₂³	1	1	yes	characteristic
304	C₂×C₂²⋊C₄×C₄₃	C₂³	1	2	yes	—
305	C₂×C₂²⋊C₄×C₄₃	C₂³	1	2	yes	—
306	C₂×C₂²⋊C₄×C₄₃	C₂³	1	2	yes	—
307	C₂×C₂²⋊C₄×C₄₃	C₂³	1	2	yes	—
308	C₂×C₄²×C₄₃	C₂³	1	2	yes	—
309	C₂⁴×C₄₃	—	2	8	no	—
310	C₂⁴×C₄₃	—	4	2	no	—
311	C₂⁴×C₄₃	C₂⁴	1	1	yes	characteristic
312	C₂⁴×C₄₃	C₂⁴	1	1	yes	characteristic
313	C₂⁴×C₄₃	C₂⁴	1	1	yes	characteristic
314	C₂⁴×C₄₃	C₂⁴	1	4	yes	—
315	C₂⁴×C₄₃	C₂⁴	1	2	yes	—
316	C₂³×D₄₃	—	2	8	no	—
317	C₂³×D₄₃	—	2	8	no	—
318	C₂³×D₄₃	—	2	8	no	—
319	C₂³×D₄₃	—	4	2	no	—
320	C₂³×D₄₃	—	4	4	no	—
321	C₂³×D₄₃	C₂⁴	1	2	yes	—
322	C₂³×D₄₃	C₂⁴	1	4	yes	—
323	C₂³×D₄₃	C₂⁴	1	8	yes	—
324	C₂³×D₄₃	C₂⁴	1	2	yes	—
325	#41×C₄₃	—	4	16	no	—
326	C₂×Q₈×C₄₃	—	4	2	no	—
327	C₂×Q₈×C₄₃	C₂⁴	1	4	yes	—
328	C₂×D₄×C₄₃	—	2	8	no	—
329	C₂×D₄×C₄₃	—	2	8	no	—
330	C₂×D₄×C₄₃	—	4	2	no	—
331	C₂×D₄×C₄₃	—	4	2	no	—
332	C₂×D₄×C₄₃	—	4	2	no	—
333	C₂×D₄×C₄₃	C₂⁴	1	8	yes	—
334	C₂×D₄×C₄₃	C₂⁴	1	8	yes	—
335	C₂×D₄×C₄₃	C₂⁴	1	4	yes	—
336	C₂×D₄×C₄₃	C₂⁴	1	4	yes	—
337	C₂×D₄×C₄₃	C₂⁴	1	4	yes	—
338	C₂²×C₄×C₄₃	—	2	4	no	—
339	C₂²×C₄×C₄₃	—	2	8	no	—
340	C₂²×C₄×C₄₃	—	2	4	no	—
341	C₂²×C₄×C₄₃	—	2	4	no	—
342	C₂²×C₄×C₄₃	—	4	4	no	—
343	C₂²×C₄×C₄₃	—	4	2	no	—
344	C₂²×C₄×C₄₃	—	4	16	no	—
345	C₂²×C₄×C₄₃	C₂⁴	1	2	yes	—
346	C₂²×C₄×C₄₃	C₂⁴	1	2	yes	—
347	C₂²×C₄×C₄₃	C₂⁴	1	2	yes	—
348	C₂²×C₄×C₄₃	C₂⁴	1	1	yes	characteristic
349	C₂²×C₄×C₄₃	C₂⁴	1	1	yes	characteristic
350	C₂²×C₄×C₄₃	C₂⁴	1	1	yes	characteristic
351	C₂²×C₄×C₄₃	C₂⁴	1	4	yes	—
352	C₂²×C₄×C₄₃	C₂⁴	1	8	yes	—
353	C₂²×C₄×C₄₃	C₂⁴	1	4	yes	—
354	C₂²×C₄×C₄₃	C₂⁴	1	4	yes	—
355	C₂²×C₄×C₄₃	C₂⁴	1	8	yes	—
356	C₂²×C₄×C₄₃	C₂⁴	1	4	yes	—
357	C₂²×C₄×C₄₃	C₂⁴	1	1	yes	characteristic
358	C₂×C₂²⋊D₄₃	—	2	64	no	—
359	C₂×C₂²⋊D₄₃	—	2	8	no	—
360	C₂×C₂²⋊D₄₃	—	2	8	no	—
361	C₂×C₂²⋊D₄₃	—	2	8	no	—
362	C₂×C₂²⋊D₄₃	—	2	8	no	—
363	C₂×C₂²⋊D₄₃	—	2	8	no	—
364	C₂×C₂²⋊D₄₃	—	4	4	no	—
365	C₂×C₂²⋊D₄₃	#41	1	16	yes	complemented
366	C₂×C₂²⋊D₄₃	C₂⁴	1	8	yes	—
367	C₂×C₂²⋊D₄₃	C₂⁴	1	8	yes	—
368	C₂×C₂²⋊D₄₃	C₂⁴	1	8	yes	—
369	C₂×C₂²⋊D₄₃	C₂⁴	1	8	yes	—
370	C₂×C₂²⋊D₄₃	C₂⁴	1	8	yes	—
371	C₂×C₂²⋊D₄₃	C₂⁴	1	8	yes	—
372	C₂×C₂²⋊D₄₃	C₂⁴	1	8	yes	—
373	C₂²×Dic₄₃	—	2	8	no	—
374	C₂²×Dic₄₃	—	2	8	no	—
375	C₂²×Dic₄₃	—	2	8	no	—
376	C₂²×Dic₄₃	—	4	4	no	—
377	C₂²×Dic₄₃	—	4	2	no	—
378	C₂²×Dic₄₃	C₂⁴	1	2	yes	—
379	C₂²×Dic₄₃	C₂⁴	1	2	yes	—
380	C₂²×Dic₄₃	C₂⁴	1	2	yes	—
381	C₂²×Dic₄₃	C₂⁴	1	2	yes	—
382	C₂²×Dic₄₃	C₂⁴	1	8	yes	—
383	C₂²×Dic₄₃	C₂⁴	1	8	yes	—
384	C₂²×Dic₄₃	C₂⁴	1	8	yes	—
385	C₂²×Dic₄₃	C₂⁴	1	2	yes	—
386	C₂²×Dic₄₃	C₂⁴	1	8	yes	—
387	C₂²×Dic₄₃	C₂⁴	1	4	yes	—
388	C₂²×Dic₄₃	C₂⁴	1	2	yes	—
389	#10621900	—	2	64	no	—
390	D₄×D₄₃	—	2	64	no	—
391	#10621898	—	4	16	no	—
392	C₂×D₁₇₂	—	2	8	no	—
393	C₂×D₁₇₂	—	4	2	no	—
394	C₂×D₁₇₂	C₂⁴	1	8	yes	—
395	C₂×D₁₇₂	C₂⁴	1	4	yes	—
396	C₂×C₄×D₄₃	—	2	8	no	—
397	C₂×C₄×D₄₃	—	2	8	no	—
398	C₂×C₄×D₄₃	—	2	8	no	—
399	C₂×C₄×D₄₃	—	2	8	no	—
400	C₂×C₄×D₄₃	—	4	4	no	—
401	C₂×C₄×D₄₃	—	4	4	no	—
402	C₂×C₄×D₄₃	—	4	4	no	—
403	C₂×C₄×D₄₃	—	4	16	no	—
404	C₂×C₄×D₄₃	—	4	32	no	—
405	C₂×C₄×D₄₃	C₂⁴	1	8	yes	—
406	C₂×C₄×D₄₃	C₂⁴	1	8	yes	—
407	C₂×C₄×D₄₃	C₂⁴	1	8	yes	—
408	C₂×C₄×D₄₃	C₂⁴	1	8	yes	—
409	C₂×C₄×D₄₃	C₂⁴	1	8	yes	—
410	C₂×C₄×D₄₃	C₂⁴	1	8	yes	—
411	C₂×C₄×D₄₃	C₂⁴	1	8	yes	—
412	C₂×Dic₈₆	—	2	8	no	—
413	C₂×Dic₈₆	—	4	2	no	—
414	C₂×Dic₈₆	C₂⁴	1	8	yes	—
415	C₂×Dic₈₆	C₂⁴	1	4	yes	—
416	C₄⋊C₄×C₄₃	C₂⁴	1	8	yes	—
417	C₄⋊C₄×C₄₃	C₂⁴	1	8	yes	—
418	C₄⋊C₄×C₄₃	C₂⁴	1	8	yes	—
419	C₂²⋊C₄×C₄₃	C₂⁴	1	4	yes	—
420	C₂²⋊C₄×C₄₃	C₂⁴	1	4	yes	—
421	C₂²⋊C₄×C₄₃	C₂⁴	1	8	yes	—
422	C₂²⋊C₄×C₄₃	C₂⁴	1	8	yes	—
423	C₂²⋊C₄×C₄₃	C₂⁴	1	8	yes	—
424	C₂²⋊C₄×C₄₃	C₂⁴	1	8	yes	—
425	C₄²×C₄₃	C₂⁴	1	8	yes	—
426	C₂²⋊Dic₄₃	C₂⁴	1	8	yes	—
427	C₂²⋊Dic₄₃	C₂⁴	1	8	yes	—
428	C₂²⋊Dic₄₃	C₂⁴	1	8	yes	—
429	C₂²⋊Dic₄₃	C₂⁴	1	8	yes	—
430	C₂²⋊Dic₄₃	C₂⁴	1	8	yes	—
431	C₂²⋊Dic₄₃	C₂⁴	1	8	yes	—
432	C₂²⋊Dic₄₃	C₂⁴	1	4	yes	—
433	C₂²⋊Dic₄₃	C₂⁴	1	4	yes	—
434	(C₂×D₄₃)⋊C₄	C₂⁴	1	8	yes	—
435	(C₂×D₄₃)⋊C₄	C₂⁴	1	8	yes	—
436	(C₂×D₄₃)⋊C₄	C₂⁴	1	8	yes	—
437	(C₂×D₄₃)⋊C₄	C₂⁴	1	8	yes	—
438	(C₂×D₄₃)⋊C₄	C₂⁴	1	8	yes	—
439	(C₂×D₄₃)⋊C₄	C₂⁴	1	8	yes	—
440	(C₂×D₄₃)⋊C₄	C₂⁴	1	8	yes	—
441	(C₂×D₄₃)⋊C₄	C₂⁴	1	8	yes	—
442	(C₂×D₄₃)⋊C₄	C₂⁴	1	8	yes	—
443	(C₂×D₄₃)⋊C₄	C₂⁴	1	8	yes	—
444	C₄⋊Dic₄₃	C₂⁴	1	8	yes	—
445	C₄⋊Dic₄₃	C₂⁴	1	8	yes	—
446	C₄⋊Dic₄₃	C₂⁴	1	8	yes	—
447	Dic₄₃⋊C₄	C₂⁴	1	8	yes	—
448	Dic₄₃⋊C₄	C₂⁴	1	8	yes	—
449	Dic₄₃⋊C₄	C₂⁴	1	8	yes	—
450	Dic₄₃⋊C₄	C₂⁴	1	8	yes	—
451	Dic₄₃⋊C₄	C₂⁴	1	8	yes	—
452	Dic₄₃⋊C₄	C₂⁴	1	8	yes	—
453	Dic₄₃⋊C₄	C₂⁴	1	8	yes	—
454	Dic₄₃⋊C₄	C₂⁴	1	8	yes	—
455	Dic₄₃⋊C₄	C₂⁴	1	8	yes	—
456	Dic₄₃⋊C₄	C₂⁴	1	8	yes	—
457	C₄×Dic₄₃	C₂⁴	1	8	yes	—
458	C₄×Dic₄₃	C₂⁴	1	8	yes	—
459	C₄×Dic₄₃	C₂⁴	1	8	yes	—
460	C₄×Dic₄₃	C₂⁴	1	4	yes	—
461	C₄×Dic₄₃	C₂⁴	1	8	yes	—
462	C₄×Dic₄₃	C₂⁴	1	8	yes	—
463	C₄×Dic₄₃	C₂⁴	1	4	yes	—
464	C₄×Dic₄₃	C₂⁴	1	8	yes	—
465	C₂³×C₄₃	—	2	4	no	—
466	C₂³×C₄₃	—	2	4	no	—
467	C₂³×C₄₃	—	2	4	no	—
468	C₂³×C₄₃	—	2	16	no	—
469	C₂³×C₄₃	—	2	4	no	—
470	C₂³×C₄₃	—	2	4	no	—
471	C₂³×C₄₃	—	2	2	no	—
472	C₂³×C₄₃	—	2	2	no	—
473	C₂³×C₄₃	—	2	2	no	—
474	C₂³×C₄₃	—	4	4	no	—
475	C₂³×C₄₃	—	4	16	no	—
476	C₂³×C₄₃	C₂×#41	1	8	yes	—
477	C₂³×C₄₃	C₂⁵	1	2	yes	—
478	C₂³×C₄₃	C₂⁵	1	2	yes	—
479	C₂³×C₄₃	C₂⁵	1	2	yes	—
480	C₂³×C₄₃	C₂⁵	1	4	yes	—
481	C₂³×C₄₃	C₂⁵	1	1	yes	characteristic
482	C₂²×D₄₃	—	2	4	no	—
483	C₂²×D₄₃	—	2	4	no	—
484	C₂²×D₄₃	—	2	4	no	—
485	C₂²×D₄₃	—	2	16	no	—
486	C₂²×D₄₃	—	2	4	no	—
487	C₂²×D₄₃	—	2	4	no	—
488	C₂²×D₄₃	—	2	16	no	—
489	C₂²×D₄₃	—	2	16	no	—
490	C₂²×D₄₃	—	4	4	no	—
491	C₂²×D₄₃	—	4	8	no	—
492	C₂²×D₄₃	—	4	16	no	—
493	C₂²×D₄₃	—	4	32	no	—
494	C₂²×D₄₃	C₂×#41	1	8	yes	—
495	C₂²×D₄₃	C₂⁵	1	4	yes	—
496	C₂²×D₄₃	C₂⁵	1	4	yes	—
497	Q₈×C₄₃	—	4	4	no	—
498	D₄×C₄₃	—	2	16	no	—
499	D₄×C₄₃	—	2	16	no	—
500	D₄×C₄₃	—	4	4	no	—
501	D₄×C₄₃	—	4	4	no	—
502	D₄×C₄₃	—	4	4	no	—
503	C₂×C₄×C₄₃	—	2	4	no	—
504	C₂×C₄×C₄₃	—	2	4	no	—
505	C₂×C₄×C₄₃	—	2	2	no	—
506	C₂×C₄×C₄₃	—	2	4	no	—
507	C₂×C₄×C₄₃	—	2	2	no	—
508	C₂×C₄×C₄₃	—	2	2	no	—
509	C₂×C₄×C₄₃	—	2	16	no	—
510	C₂×C₄×C₄₃	—	2	8	no	—
511	C₂×C₄×C₄₃	—	2	8	no	—
512	C₂×C₄×C₄₃	—	2	8	no	—
513	C₂×C₄×C₄₃	—	4	4	no	—
514	C₂×C₄×C₄₃	—	4	8	no	—
515	C₂×C₄×C₄₃	H(5,𝔽₂)	1	4	yes	—
516	C₂×C₄×C₄₃	C₂⁵	1	2	yes	—
517	C₂×C₄×C₄₃	C₂⁵	1	4	yes	—
518	C₂×C₄×C₄₃	C₂⁵	1	4	yes	—
519	C₂×C₄×C₄₃	C₂⁵	1	4	yes	—
520	C₂×C₄×C₄₃	C₂⁵	1	2	yes	—
521	C₂×C₄×C₄₃	C₂⁵	1	2	yes	—
522	C₂×C₄×C₄₃	C₂⁵	1	2	yes	—
523	C₂²⋊D₄₃	—	2	16	no	—
524	C₂²⋊D₄₃	—	2	16	no	—
525	C₂²⋊D₄₃	—	2	16	no	—
526	C₂²⋊D₄₃	—	2	16	no	—
527	C₂²⋊D₄₃	—	2	16	no	—
528	C₂²⋊D₄₃	—	4	8	no	—
529	C₂²⋊D₄₃	C₂×#41	1	32	yes	complemented
530	C₂×Dic₄₃	—	2	4	no	—
531	C₂×Dic₄₃	—	2	4	no	—
532	C₂×Dic₄₃	—	2	16	no	—
533	C₂×Dic₄₃	—	2	4	no	—
534	C₂×Dic₄₃	—	2	4	no	—
535	C₂×Dic₄₃	—	2	4	no	—
536	C₂×Dic₄₃	—	2	16	no	—
537	C₂×Dic₄₃	—	2	16	no	—
538	C₂×Dic₄₃	—	4	8	no	—
539	C₂×Dic₄₃	—	4	4	no	—
540	C₂×Dic₄₃	C₂×#41	1	8	yes	—
541	C₂×Dic₄₃	C₂⁵	1	4	yes	—
542	C₂×Dic₄₃	C₂⁵	1	4	yes	—
543	C₂×Dic₄₃	C₂⁵	1	4	yes	—
544	C₂×Dic₄₃	C₂⁵	1	4	yes	—
545	C₂×Dic₄₃	C₂⁵	1	4	yes	—
546	C₂×Dic₄₃	C₂⁵	1	4	yes	—
547	D₁₇₂	—	2	16	no	—
548	D₁₇₂	—	4	4	no	—
549	C₄×D₄₃	—	2	16	no	—
550	C₄×D₄₃	—	2	16	no	—
551	C₄×D₄₃	—	2	16	no	—
552	C₄×D₄₃	—	2	16	no	—
553	C₄×D₄₃	—	4	8	no	—
554	C₄×D₄₃	—	4	8	no	—
555	C₄×D₄₃	—	4	8	no	—
556	Dic₈₆	—	2	16	no	—
557	Dic₈₆	—	4	4	no	—
558	C₂×#3481	—	43	1	no	maximal, Sylow
559	C₂²×C₄₃	—	2	4	no	—
560	C₂²×C₄₃	—	2	4	no	—
561	C₂²×C₄₃	—	2	16	no	—
562	C₂²×C₄₃	—	2	4	no	—
563	C₂²×C₄₃	—	2	4	no	—
564	C₂²×C₄₃	—	2	4	no	—
565	C₂²×C₄₃	—	2	2	no	—
566	C₂²×C₄₃	—	2	2	no	—
567	C₂²×C₄₃	—	2	2	no	—
568	C₂²×C₄₃	—	4	16	no	—
569	C₂²×C₄₃	—	4	4	no	—
570	C₂²×C₄₃	—	4	4	no	—
571	C₂²×C₄₃	—	4	4	no	—
572	C₂²×C₄₃	C₂²×#41	1	8	yes	—
573	C₂²×C₄₃	C₂²×#41	1	4	yes	—
574	C₂²×C₄₃	C₂×H(5,𝔽₂)	1	2	yes	—
575	C₂²×C₄₃	C₂⁶	1	1	yes	characteristic
576	C₂×D₄₃	—	2	4	no	—
577	C₂×D₄₃	—	2	4	no	—
578	C₂×D₄₃	—	2	16	no	—
579	C₂×D₄₃	—	2	4	no	—
580	C₂×D₄₃	—	2	4	no	—
581	C₂×D₄₃	—	2	4	no	—
582	C₂×D₄₃	—	4	16	no	—
583	C₂×D₄₃	—	4	32	no	—
584	C₂×D₄₃	—	4	8	no	—
585	C₂×D₄₃	C₂²×#41	1	8	yes	—
586	C₄×C₄₃	—	2	4	no	—
587	C₄×C₄₃	—	2	4	no	—
588	C₄×C₄₃	—	2	2	no	—
589	C₄×C₄₃	—	2	4	no	—
590	C₄×C₄₃	—	2	2	no	—
591	C₄×C₄₃	—	2	2	no	—
592	C₄×C₄₃	C₂×H(5,𝔽₂)	1	4	yes	—
593	Dic₄₃	—	2	4	no	—
594	Dic₄₃	—	2	4	no	—
595	Dic₄₃	—	2	4	no	—
596	Dic₄₃	—	2	4	no	—
597	Dic₄₃	—	2	4	no	—
598	Dic₄₃	C₂²×#41	1	8	yes	—
599	#3481	—	43	32	no	—
600	C₂×#559	—	43	1	no	—
601	C₂×#554	—	43	2	no	—
602	C₂×#553	—	43	2	no	—
603	C₂×#553	—	43	2	no	—
604	C₂×#551	—	43	1	no	—
605	C₂×#551	—	43	2	no	—
606	C₂×#551	—	43	1	no	—
607	C₂×#546	—	43	2	no	—
608	C₂×#546	—	43	2	no	—
609	C₂×D₄²	—	43	1	no	—
610	C₂×#532	—	43	1	no	—
611	C₂×#529	—	43	2	no	—
612	C₂×#529	—	43	2	no	—
613	C₂×#525	—	43	1	no	—
614	C₂×#525	—	43	2	no	—
615	C₂×#525	D₄₃	1	1	yes	characteristic, complemented
616	C₂×C₄×#41	—	43	2	no	—
617	C₂²×C₄×D₄	—	43	2	no	—
618	C₂²×C₄×D₄	—	43	2	no	—
619	C₂×C₄₃	—	2	8	no	—
620	C₂×C₄₃	—	4	2	no	—
621	C₂×C₄₃	—	4	2	no	—
622	C₂×C₄₃	—	4	2	no	—
623	C₂×C₄₃	#3481	1	4	yes	complemented
624	C₂×C₄₃	C₂³×#41	1	2	yes	—
625	C₂×C₄₃	C₂²×H(5,𝔽₂)	1	1	yes	characteristic
626	D₄₃	—	2	8	no	—
627	D₄₃	—	4	4	no	—
628	C₂²×#41	—	43	2	no	—
629	C₂²×#41	—	43	1	no	—
630	C₂²×#41	C₂×D₄₃	1	1	yes	characteristic, complemented
631	C₂³×D₄	—	43	2	no	—
632	C₂³×D₄	—	43	2	no	—
633	C₂⁴×C₄	—	43	2	no	—
634	C₂⁴×C₄	—	43	1	no	—
635	C₂⁴×C₄	C₂×D₄₃	1	1	yes	characteristic, complemented
636	#559	—	43	16	no	—
637	#554	—	43	32	no	—
638	#553	—	43	32	no	—
639	#553	—	43	32	no	—
640	#551	—	43	16	no	—
641	#551	—	43	32	no	—
642	#551	—	43	16	no	—
643	#546	—	43	32	no	—
644	#546	—	43	32	no	—
645	D₄²	—	43	16	no	—
646	#532	—	43	16	no	—
647	C₂×C₄⋊Q₈	—	43	1	no	—
648	C₂×#127	—	43	1	no	—
649	#529	—	43	32	no	—
650	#529	—	43	32	no	—
651	C₂×#126	—	43	2	no	—
652	C₂×#126	—	43	2	no	—
653	C₂×#126	—	43	2	no	—
654	C₂×#126	—	43	2	no	—
655	C₂×#125	—	43	2	no	—
656	C₂×#125	—	43	2	no	—
657	C₂×#124	—	43	1	no	—
658	C₂×#124	—	43	1	no	—
659	C₂×#124	—	43	2	no	—
660	C₂×#124	—	43	2	no	—
661	#525	—	43	16	no	—
662	#525	—	43	32	no	—
663	#525	C₂×D₄₃	1	16	yes	complemented
664	C₂×#123	—	43	1	no	—
665	C₂×#123	—	43	1	no	—
666	C₂×#123	—	43	2	no	—
667	C₂×#123	—	43	2	no	—
668	C₂×#123	—	43	2	no	—
669	C₂×#123	—	43	2	no	—
670	C₂×#123	—	43	2	no	—
671	C₂×#123	—	43	2	no	—
672	C₂×#123	C₂×D₄₃	1	1	yes	characteristic, complemented
673	C₂×#123	C₂×D₄₃	1	1	yes	characteristic, complemented
674	C₂×C₂²⋊Q₈	—	43	2	no	—
675	C₂×C₂²⋊Q₈	—	43	2	no	—
676	C₂×C₂²⋊Q₈	—	43	2	no	—
677	C₂×C₂²⋊Q₈	—	43	2	no	—
678	C₂×C₂²⋊Q₈	—	43	2	no	—
679	C₂×C₂²⋊Q₈	C₂×D₄₃	1	2	yes	complemented
680	C₂×#121	—	43	2	no	—
681	C₂×#121	—	43	2	no	—
682	C₂×#121	—	43	2	no	—
683	C₂×#121	—	43	2	no	—
684	C₂×#121	—	43	2	no	—
685	C₂×#121	—	43	2	no	—
686	C₂×#121	—	43	2	no	—
687	C₂×#121	C₂×D₄₃	1	2	yes	complemented
688	C₂×#120	—	43	1	no	—
689	C₂×#120	—	43	2	no	—
690	C₂×#120	—	43	1	no	—
691	C₂×#120	—	43	2	no	—
692	C₂×#120	C₂×D₄₃	1	1	yes	characteristic
693	C₂×#120	C₂×D₄₃	1	1	yes	characteristic, complemented
694	C₄×#41	—	43	32	no	—
695	C₂×C₄×Q₈	—	43	2	no	—
696	C₂×C₄×Q₈	—	43	2	no	—
697	C₂×C₄×D₄	—	43	2	no	—
698	C₂×C₄×D₄	—	43	2	no	—
699	C₂×C₄×D₄	—	43	2	no	—
700	C₂×C₄×D₄	—	43	2	no	—
701	C₂×C₄×D₄	—	43	2	no	—
702	C₂×C₄×D₄	—	43	2	no	—
703	C₂×C₄×D₄	—	43	2	no	—
704	C₂×C₄×D₄	—	43	2	no	—
705	C₂×C₄×D₄	—	43	2	no	—
706	C₂×C₄×D₄	—	43	2	no	—
707	C₂×C₄×D₄	—	43	2	no	—
708	C₂×C₄×D₄	—	43	2	no	—
709	C₂×C₄×D₄	—	43	32	no	—
710	C₂×C₄×D₄	—	43	32	no	—
711	C₂×C₄×D₄	—	43	2	no	—
712	C₂×C₄×D₄	—	43	2	no	—
713	C₂×C₄×D₄	—	43	2	no	—
714	C₂×C₄×D₄	—	43	2	no	—
715	C₂×C₄×D₄	—	43	2	no	—
716	C₂×C₄×D₄	—	43	2	no	—
717	C₂×C₄×D₄	C₂×D₄₃	1	2	yes	complemented
718	C₂×C₄×D₄	C₂×D₄₃	1	2	yes	complemented
719	C₂×#117	—	43	1	no	—
720	C₂×#117	—	43	2	no	—
721	C₂×#117	—	43	2	no	—
722	C₂×#117	—	43	2	no	—
723	C₂×#117	—	43	2	no	—
724	C₂×#117	C₂×D₄₃	1	1	yes	characteristic, complemented
725	C₂²×C₄⋊C₄	—	43	2	no	—
726	C₂²×C₄⋊C₄	—	43	2	no	—
727	C₂²×C₂²⋊C₄	—	43	2	no	—
728	C₂²×C₂²⋊C₄	—	43	2	no	—
729	C₂²×C₂²⋊C₄	—	43	2	no	—
730	C₂²×C₂²⋊C₄	—	43	2	no	—
731	C₂²×C₄²	—	43	2	no	—
732	C₂²×C₄²	—	43	1	no	—
733	C₂²×C₄²	—	43	2	no	—
734	C₄₃	C₂×#3481	1	1	yes	characteristic, complemented, Sylow
735	C₂⁵	—	43	1	no	—
736	C₂⁵	—	43	2	no	—
737	C₂⁵	C₂²×D₄₃	1	1	yes	characteristic
738	C₂×#41	—	4	4	no	—
739	C₂×#41	—	43	16	no	—
740	C₂×#41	—	43	8	no	—
741	C₂×#41	—	86	16	no	—
742	C₂×#41	—	172	4	no	—
743	C₂×#41	C₂²×D₄₃	1	8	yes	complemented
744	C₂²×Q₈	—	43	2	no	—
745	C₂²×Q₈	—	43	1	no	—
746	C₂²×Q₈	C₂²×D₄₃	1	1	yes	characteristic
747	C₂²×D₄	—	43	2	no	—
748	C₂²×D₄	—	43	2	no	—
749	C₂²×D₄	—	43	2	no	—
750	C₂²×D₄	—	43	2	no	—
751	C₂²×D₄	—	43	2	no	—
752	C₂²×D₄	—	43	2	no	—
753	C₂²×D₄	—	43	16	no	—
754	C₂²×D₄	—	43	2	no	—
755	C₂²×D₄	—	43	16	no	—
756	C₂²×D₄	—	43	2	no	—
757	C₂²×D₄	—	43	1	no	—
758	C₂²×D₄	—	86	16	no	—
759	C₂²×D₄	—	86	16	no	—
760	C₂²×D₄	C₂²×D₄₃	1	2	yes	—
761	C₂²×D₄	C₂²×D₄₃	1	2	yes	—
762	C₂²×D₄	C₂²×D₄₃	1	1	yes	characteristic
763	C₂²×D₄	C₂²×D₄₃	1	1	yes	characteristic
764	C₂²×D₄	C₂²×D₄₃	1	1	yes	characteristic
765	C₂³×C₄	—	4	4	no	—
766	C₂³×C₄	—	43	2	no	—
767	C₂³×C₄	—	43	2	no	—
768	C₂³×C₄	—	43	2	no	—
769	C₂³×C₄	—	43	2	no	—
770	C₂³×C₄	—	43	1	no	—
771	C₂³×C₄	—	43	2	no	—
772	C₂³×C₄	—	43	2	no	—
773	C₂³×C₄	—	43	2	no	—
774	C₂³×C₄	—	43	2	no	—
775	C₂³×C₄	—	43	2	no	—
776	C₂³×C₄	—	43	2	no	—
777	C₂³×C₄	—	43	2	no	—
778	C₂³×C₄	—	43	16	no	—
779	C₂³×C₄	—	43	8	no	—
780	C₂³×C₄	—	172	8	no	—
781	C₂³×C₄	—	172	4	no	—
782	C₂³×C₄	C₂²×D₄₃	1	1	yes	characteristic
783	C₂³×C₄	C₂²×D₄₃	1	1	yes	characteristic
784	C₂³×C₄	C₂²×D₄₃	1	2	yes	—
785	C₂³×C₄	C₂²×D₄₃	1	1	yes	characteristic
786	C₂³×C₄	C₂²×D₄₃	1	2	yes	—
787	C₂³×C₄	C₂²×D₄₃	1	1	yes	characteristic
788	C₂³×C₄	C₂²×D₄₃	1	8	yes	complemented
789	C₄⋊Q₈	—	43	8	no	—
790	#127	—	43	8	no	—
791	#126	—	43	16	no	—
792	#126	—	43	16	no	—
793	#126	—	43	16	no	—
794	#126	—	43	16	no	—
795	#125	—	43	16	no	—
796	#125	—	43	16	no	—
797	#124	—	43	8	no	—
798	#124	—	43	8	no	—
799	#124	—	43	16	no	—
800	#124	—	43	16	no	—
801	#123	—	43	8	no	—
802	#123	—	43	8	no	—
803	#123	—	43	16	no	—
804	#123	—	43	16	no	—
805	#123	—	43	16	no	—
806	#123	—	43	16	no	—
807	#123	—	43	16	no	—
808	#123	—	43	16	no	—
809	#123	C₂²×D₄₃	1	8	yes	complemented
810	#123	C₂²×D₄₃	1	8	yes	complemented
811	C₂²⋊Q₈	—	43	16	no	—
812	C₂²⋊Q₈	—	43	16	no	—
813	C₂²⋊Q₈	—	43	16	no	—
814	C₂²⋊Q₈	—	43	16	no	—
815	C₂²⋊Q₈	—	43	16	no	—
816	C₂²⋊Q₈	C₂²×D₄₃	1	16	yes	complemented
817	#121	—	43	16	no	—
818	#121	—	43	16	no	—
819	#121	—	43	16	no	—
820	#121	—	43	16	no	—
821	#121	—	43	16	no	—
822	#121	—	43	16	no	—
823	#121	—	43	16	no	—
824	#121	C₂²×D₄₃	1	16	yes	complemented
825	#120	—	43	8	no	—
826	#120	—	43	16	no	—
827	#120	—	43	8	no	—
828	#120	—	43	16	no	—
829	#120	C₂²×D₄₃	1	8	yes	—
830	#120	C₂²×D₄₃	1	8	yes	complemented
831	C₄×Q₈	—	43	16	no	—
832	C₄×Q₈	—	43	16	no	—
833	C₄×D₄	—	43	16	no	—
834	C₄×D₄	—	43	16	no	—
835	C₄×D₄	—	43	16	no	—
836	C₄×D₄	—	43	16	no	—
837	C₄×D₄	—	43	16	no	—
838	C₄×D₄	—	43	16	no	—
839	C₄×D₄	—	43	16	no	—
840	C₄×D₄	—	43	16	no	—
841	C₄×D₄	—	43	16	no	—
842	C₄×D₄	—	43	16	no	—
843	C₄×D₄	—	43	16	no	—
844	C₄×D₄	—	43	16	no	—
845	C₄×D₄	—	43	16	no	—
846	C₄×D₄	—	43	16	no	—
847	C₄×D₄	—	43	16	no	—
848	C₄×D₄	—	43	16	no	—
849	C₄×D₄	—	43	16	no	—
850	C₄×D₄	—	43	16	no	—
851	C₄×D₄	C₂²×D₄₃	1	16	yes	complemented
852	C₄×D₄	C₂²×D₄₃	1	16	yes	complemented
853	#117	—	43	8	no	—
854	#117	—	43	16	no	—
855	#117	—	43	16	no	—
856	#117	—	43	16	no	—
857	#117	—	43	16	no	—
858	#117	C₂²×D₄₃	1	8	yes	complemented
859	C₂×C₄⋊C₄	—	43	2	no	—
860	C₂×C₄⋊C₄	—	43	2	no	—
861	C₂×C₄⋊C₄	—	43	2	no	—
862	C₂×C₄⋊C₄	—	43	2	no	—
863	C₂×C₄⋊C₄	—	43	2	no	—
864	C₂×C₄⋊C₄	—	43	2	no	—
865	C₂×C₄⋊C₄	—	43	16	no	—
866	C₂×C₄⋊C₄	—	43	2	no	—
867	C₂×C₄⋊C₄	—	43	2	no	—
868	C₂×C₄⋊C₄	—	43	2	no	—
869	C₂×C₄⋊C₄	—	43	2	no	—
870	C₂×C₄⋊C₄	—	43	2	no	—
871	C₂×C₄⋊C₄	—	43	2	no	—
872	C₂×C₄⋊C₄	—	43	2	no	—
873	C₂×C₄⋊C₄	—	43	16	no	—
874	C₂×C₄⋊C₄	C₂²×D₄₃	1	2	yes	—
875	C₂×C₄⋊C₄	C₂²×D₄₃	1	2	yes	—
876	C₂×C₄⋊C₄	C₂²×D₄₃	1	2	yes	—
877	C₂×C₂²⋊C₄	—	43	2	no	—
878	C₂×C₂²⋊C₄	—	43	2	no	—
879	C₂×C₂²⋊C₄	—	43	2	no	—
880	C₂×C₂²⋊C₄	—	43	2	no	—
881	C₂×C₂²⋊C₄	—	43	2	no	—
882	C₂×C₂²⋊C₄	—	43	16	no	—
883	C₂×C₂²⋊C₄	—	43	2	no	—
884	C₂×C₂²⋊C₄	—	43	1	no	—
885	C₂×C₂²⋊C₄	—	43	1	no	—
886	C₂×C₂²⋊C₄	—	43	2	no	—
887	C₂×C₂²⋊C₄	—	43	2	no	—
888	C₂×C₂²⋊C₄	—	43	2	no	—
889	C₂×C₂²⋊C₄	—	43	2	no	—
890	C₂×C₂²⋊C₄	—	43	2	no	—
891	C₂×C₂²⋊C₄	—	43	2	no	—
892	C₂×C₂²⋊C₄	—	43	2	no	—
893	C₂×C₂²⋊C₄	—	43	16	no	—
894	C₂×C₂²⋊C₄	—	43	2	no	—
895	C₂×C₂²⋊C₄	—	43	2	no	—
896	C₂×C₂²⋊C₄	—	43	2	no	—
897	C₂×C₂²⋊C₄	—	43	16	no	—
898	C₂×C₂²⋊C₄	—	43	16	no	—
899	C₂×C₂²⋊C₄	C₂²×D₄₃	1	2	yes	—
900	C₂×C₂²⋊C₄	C₂²×D₄₃	1	2	yes	—
901	C₂×C₂²⋊C₄	C₂²×D₄₃	1	2	yes	—
902	C₂×C₂²⋊C₄	C₂²×D₄₃	1	2	yes	—
903	C₂×C₂²⋊C₄	C₂²×D₄₃	1	1	yes	characteristic
904	C₂×C₂²⋊C₄	C₂²×D₄₃	1	1	yes	characteristic
905	C₂×C₄²	—	43	1	no	—
906	C₂×C₄²	—	43	2	no	—
907	C₂×C₄²	—	43	2	no	—
908	C₂×C₄²	—	43	2	no	—
909	C₂×C₄²	—	43	2	no	—
910	C₂×C₄²	—	43	1	no	—
911	C₂×C₄²	—	43	16	no	—
912	C₂×C₄²	—	43	8	no	—
913	C₂×C₄²	—	43	2	no	—
914	C₂×C₄²	—	43	2	no	—
915	C₂×C₄²	—	43	16	no	—
916	C₂×C₄²	C₂²×D₄₃	1	2	yes	—
917	C₂⁴	—	2	8	no	—
918	C₂⁴	—	4	2	no	—
919	C₂⁴	—	43	2	no	—
920	C₂⁴	—	43	2	no	—
921	C₂⁴	—	43	4	no	—
922	C₂⁴	—	43	8	no	—
923	C₂⁴	—	86	8	no	—
924	C₂⁴	—	86	8	no	—
925	C₂⁴	—	86	8	no	—
926	C₂⁴	—	172	4	no	—
927	C₂⁴	—	172	2	no	—
928	C₂⁴	C₂³×D₄₃	1	1	yes	characteristic
929	C₂⁴	C₂³×D₄₃	1	1	yes	characteristic
930	C₂⁴	C₂³×D₄₃	1	1	yes	characteristic
931	C₂⁴	C₂³×D₄₃	1	4	yes	—
932	C₂⁴	C₂³×D₄₃	1	2	yes	—
933	#41	—	4	16	no	—
934	#41	—	86	64	no	—
935	#41	—	172	16	no	—
936	C₂×Q₈	—	4	2	no	—
937	C₂×Q₈	—	43	8	no	—
938	C₂×Q₈	—	43	4	no	—
939	C₂×Q₈	—	86	8	no	—
940	C₂×Q₈	—	172	2	no	—
941	C₂×Q₈	C₂³×D₄₃	1	4	yes	—
942	C₂×D₄	—	2	8	no	—
943	C₂×D₄	—	2	8	no	—
944	C₂×D₄	—	4	2	no	—
945	C₂×D₄	—	4	2	no	—
946	C₂×D₄	—	4	2	no	—
947	C₂×D₄	—	43	16	no	—
948	C₂×D₄	—	43	8	no	—
949	C₂×D₄	—	43	8	no	—
950	C₂×D₄	—	43	8	no	—
951	C₂×D₄	—	43	8	no	—
952	C₂×D₄	—	43	8	no	—
953	C₂×D₄	—	43	8	no	—
954	C₂×D₄	—	43	8	no	—
955	C₂×D₄	—	43	8	no	—
956	C₂×D₄	—	43	4	no	—
957	C₂×D₄	—	86	8	no	—
958	C₂×D₄	—	86	8	no	—
959	C₂×D₄	—	86	8	no	—
960	C₂×D₄	—	86	64	no	—
961	C₂×D₄	—	86	64	no	—
962	C₂×D₄	—	86	8	no	—
963	C₂×D₄	—	86	8	no	—
964	C₂×D₄	—	86	8	no	—
965	C₂×D₄	—	172	2	no	—
966	C₂×D₄	—	172	4	no	—
967	C₂×D₄	C₂³×D₄₃	1	8	yes	—
968	C₂×D₄	C₂³×D₄₃	1	8	yes	—
969	C₂×D₄	C₂³×D₄₃	1	4	yes	—
970	C₂×D₄	C₂³×D₄₃	1	4	yes	—
971	C₂×D₄	C₂³×D₄₃	1	4	yes	—
972	C₂²×C₄	—	2	8	no	—
973	C₂²×C₄	—	2	4	no	—
974	C₂²×C₄	—	2	4	no	—
975	C₂²×C₄	—	2	4	no	—
976	C₂²×C₄	—	4	16	no	—
977	C₂²×C₄	—	4	2	no	—
978	C₂²×C₄	—	4	4	no	—
979	C₂²×C₄	—	43	2	no	—
980	C₂²×C₄	—	43	2	no	—
981	C₂²×C₄	—	43	2	no	—
982	C₂²×C₄	—	43	2	no	—
983	C₂²×C₄	—	43	2	no	—
984	C₂²×C₄	—	43	8	no	—
985	C₂²×C₄	—	43	8	no	—
986	C₂²×C₄	—	43	8	no	—
987	C₂²×C₄	—	43	2	no	—
988	C₂²×C₄	—	43	8	no	—
989	C₂²×C₄	—	43	4	no	—
990	C₂²×C₄	—	43	8	no	—
991	C₂²×C₄	—	43	8	no	—
992	C₂²×C₄	—	43	8	no	—
993	C₂²×C₄	—	43	8	no	—
994	C₂²×C₄	—	43	8	no	—
995	C₂²×C₄	—	43	8	no	—
996	C₂²×C₄	—	43	8	no	—
997	C₂²×C₄	—	86	8	no	—
998	C₂²×C₄	—	86	8	no	—
999	C₂²×C₄	—	86	8	no	—
1000	C₂²×C₄	—	86	8	no	—
1001	C₂²×C₄	—	86	8	no	—
1002	C₂²×C₄	—	86	8	no	—
1003	C₂²×C₄	—	86	8	no	—
1004	C₂²×C₄	—	172	32	no	—
1005	C₂²×C₄	—	172	16	no	—
1006	C₂²×C₄	—	172	4	no	—
1007	C₂²×C₄	—	172	4	no	—
1008	C₂²×C₄	—	172	4	no	—
1009	C₂²×C₄	—	172	2	no	—
1010	C₂²×C₄	—	172	4	no	—
1011	C₂²×C₄	C₂³×D₄₃	1	2	yes	—
1012	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
1013	C₂²×C₄	C₂³×D₄₃	1	8	yes	—
1014	C₂²×C₄	C₂³×D₄₃	1	4	yes	—
1015	C₂²×C₄	C₂³×D₄₃	1	2	yes	—
1016	C₂²×C₄	C₂³×D₄₃	1	2	yes	—
1017	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
1018	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
1019	C₂²×C₄	C₂³×D₄₃	1	4	yes	—
1020	C₂²×C₄	C₂³×D₄₃	1	4	yes	—
1021	C₂²×C₄	C₂³×D₄₃	1	8	yes	—
1022	C₂²×C₄	C₂³×D₄₃	1	4	yes	—
1023	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
1024	C₄⋊C₄	—	43	8	no	—
1025	C₄⋊C₄	—	43	8	no	—
1026	C₄⋊C₄	—	43	8	no	—
1027	C₄⋊C₄	—	43	8	no	—
1028	C₄⋊C₄	—	43	8	no	—
1029	C₄⋊C₄	—	43	8	no	—
1030	C₄⋊C₄	—	43	8	no	—
1031	C₄⋊C₄	—	43	8	no	—
1032	C₄⋊C₄	—	43	8	no	—
1033	C₄⋊C₄	—	43	8	no	—
1034	C₄⋊C₄	—	43	8	no	—
1035	C₄⋊C₄	—	43	8	no	—
1036	C₄⋊C₄	—	43	8	no	—
1037	C₄⋊C₄	C₂³×D₄₃	1	8	yes	—
1038	C₄⋊C₄	C₂³×D₄₃	1	8	yes	—
1039	C₄⋊C₄	C₂³×D₄₃	1	8	yes	—
1040	C₂²⋊C₄	—	43	8	no	—
1041	C₂²⋊C₄	—	43	8	no	—
1042	C₂²⋊C₄	—	43	8	no	—
1043	C₂²⋊C₄	—	43	8	no	—
1044	C₂²⋊C₄	—	43	8	no	—
1045	C₂²⋊C₄	—	43	8	no	—
1046	C₂²⋊C₄	—	43	4	no	—
1047	C₂²⋊C₄	—	43	4	no	—
1048	C₂²⋊C₄	—	43	8	no	—
1049	C₂²⋊C₄	—	43	8	no	—
1050	C₂²⋊C₄	—	43	8	no	—
1051	C₂²⋊C₄	—	43	8	no	—
1052	C₂²⋊C₄	—	43	8	no	—
1053	C₂²⋊C₄	—	43	8	no	—
1054	C₂²⋊C₄	—	43	8	no	—
1055	C₂²⋊C₄	—	43	8	no	—
1056	C₂²⋊C₄	—	43	8	no	—
1057	C₂²⋊C₄	—	43	8	no	—
1058	C₂²⋊C₄	C₂³×D₄₃	1	8	yes	—
1059	C₂²⋊C₄	C₂³×D₄₃	1	8	yes	—
1060	C₂²⋊C₄	C₂³×D₄₃	1	8	yes	—
1061	C₂²⋊C₄	C₂³×D₄₃	1	8	yes	—
1062	C₂²⋊C₄	C₂³×D₄₃	1	4	yes	—
1063	C₂²⋊C₄	C₂³×D₄₃	1	4	yes	—
1064	C₄²	—	43	8	no	—
1065	C₄²	—	43	4	no	—
1066	C₄²	—	43	8	no	—
1067	C₄²	—	43	8	no	—
1068	C₄²	—	43	8	no	—
1069	C₄²	—	43	8	no	—
1070	C₄²	—	43	8	no	—
1071	C₄²	—	43	4	no	—
1072	C₄²	C₂³×D₄₃	1	8	yes	—
1073	C₂³	—	2	4	no	—
1074	C₂³	—	2	4	no	—
1075	C₂³	—	2	4	no	—
1076	C₂³	—	2	4	no	—
1077	C₂³	—	2	16	no	—
1078	C₂³	—	2	4	no	—
1079	C₂³	—	2	2	no	—
1080	C₂³	—	2	2	no	—
1081	C₂³	—	2	2	no	—
1082	C₂³	—	4	4	no	—
1083	C₂³	—	4	16	no	—
1084	C₂³	—	43	8	no	—
1085	C₂³	—	43	4	no	—
1086	C₂³	—	43	4	no	—
1087	C₂³	—	86	16	no	—
1088	C₂³	—	86	16	no	—
1089	C₂³	—	86	4	no	—
1090	C₂³	—	86	4	no	—
1091	C₂³	—	86	16	no	—
1092	C₂³	—	86	4	no	—
1093	C₂³	—	86	4	no	—
1094	C₂³	—	86	4	no	—
1095	C₂³	—	172	8	no	—
1096	C₂³	—	172	4	no	—
1097	C₂³	—	172	32	no	—
1098	C₂³	—	172	16	no	—
1099	C₂³	#41×D₄₃	1	8	yes	—
1100	C₂³	C₂⁴×D₄₃	1	2	yes	—
1101	C₂³	C₂⁴×D₄₃	1	2	yes	—
1102	C₂³	C₂⁴×D₄₃	1	2	yes	—
1103	C₂³	C₂⁴×D₄₃	1	4	yes	—
1104	C₂³	C₂⁴×D₄₃	1	1	yes	characteristic
1105	Q₈	—	4	4	no	—
1106	Q₈	—	86	16	no	—
1107	Q₈	—	172	4	no	—
1108	D₄	—	2	16	no	—
1109	D₄	—	2	16	no	—
1110	D₄	—	4	4	no	—
1111	D₄	—	4	4	no	—
1112	D₄	—	4	4	no	—
1113	D₄	—	43	32	no	—
1114	D₄	—	86	16	no	—
1115	D₄	—	86	16	no	—
1116	D₄	—	86	16	no	—
1117	D₄	—	86	16	no	—
1118	D₄	—	86	16	no	—
1119	D₄	—	86	16	no	—
1120	D₄	—	172	4	no	—
1121	D₄	—	172	8	no	—
1122	C₂×C₄	—	2	4	no	—
1123	C₂×C₄	—	2	4	no	—
1124	C₂×C₄	—	2	4	no	—
1125	C₂×C₄	—	2	2	no	—
1126	C₂×C₄	—	2	2	no	—
1127	C₂×C₄	—	2	2	no	—
1128	C₂×C₄	—	2	16	no	—
1129	C₂×C₄	—	2	8	no	—
1130	C₂×C₄	—	2	8	no	—
1131	C₂×C₄	—	2	8	no	—
1132	C₂×C₄	—	4	4	no	—
1133	C₂×C₄	—	4	8	no	—
1134	C₂×C₄	—	43	8	no	—
1135	C₂×C₄	—	43	4	no	—
1136	C₂×C₄	—	43	4	no	—
1137	C₂×C₄	—	43	4	no	—
1138	C₂×C₄	—	43	4	no	—
1139	C₂×C₄	—	43	4	no	—
1140	C₂×C₄	—	43	4	no	—
1141	C₂×C₄	—	86	16	no	—
1142	C₂×C₄	—	86	16	no	—
1143	C₂×C₄	—	86	16	no	—
1144	C₂×C₄	—	86	16	no	—
1145	C₂×C₄	—	86	4	no	—
1146	C₂×C₄	—	86	4	no	—
1147	C₂×C₄	—	86	4	no	—
1148	C₂×C₄	—	86	16	no	—
1149	C₂×C₄	—	86	4	no	—
1150	C₂×C₄	—	86	4	no	—
1151	C₂×C₄	—	86	16	no	—
1152	C₂×C₄	—	86	16	no	—
1153	C₂×C₄	—	172	8	no	—
1154	C₂×C₄	—	172	8	no	—
1155	C₂×C₄	—	172	8	no	—
1156	C₂×C₄	—	172	4	no	—
1157	C₂×C₄	—	172	8	no	—
1158	C₂×C₄	#13063370	1	4	yes	—
1159	C₂×C₄	C₂⁴×D₄₃	1	4	yes	—
1160	C₂×C₄	C₂⁴×D₄₃	1	2	yes	—
1161	C₂×C₄	C₂⁴×D₄₃	1	4	yes	—
1162	C₂×C₄	C₂⁴×D₄₃	1	4	yes	—
1163	C₂×C₄	C₂⁴×D₄₃	1	2	yes	—
1164	C₂×C₄	C₂⁴×D₄₃	1	2	yes	—
1165	C₂×C₄	C₂⁴×D₄₃	1	2	yes	—
1166	C₂²	—	2	4	no	—
1167	C₂²	—	2	4	no	—
1168	C₂²	—	2	16	no	—
1169	C₂²	—	2	4	no	—
1170	C₂²	—	2	4	no	—
1171	C₂²	—	2	4	no	—
1172	C₂²	—	2	2	no	—
1173	C₂²	—	2	2	no	—
1174	C₂²	—	2	2	no	—
1175	C₂²	—	4	16	no	—
1176	C₂²	—	4	4	no	—
1177	C₂²	—	4	4	no	—
1178	C₂²	—	4	4	no	—
1179	C₂²	—	43	8	no	—
1180	C₂²	—	86	4	no	—
1181	C₂²	—	86	4	no	—
1182	C₂²	—	86	16	no	—
1183	C₂²	—	86	4	no	—
1184	C₂²	—	86	4	no	—
1185	C₂²	—	86	4	no	—
1186	C₂²	—	172	32	no	—
1187	C₂²	—	172	16	no	—
1188	C₂²	—	172	8	no	—
1189	C₂²	C₂×#41×D₄₃	1	8	yes	—
1190	C₂²	C₂×#41×D₄₃	1	4	yes	—
1191	C₂²	C₂×#13063370	1	2	yes	—
1192	C₂²	C₂⁵×D₄₃	1	1	yes	characteristic
1193	C₄	—	2	4	no	—
1194	C₄	—	2	4	no	—
1195	C₄	—	2	4	no	—
1196	C₄	—	2	2	no	—
1197	C₄	—	2	2	no	—
1198	C₄	—	2	2	no	—
1199	C₄	—	43	8	no	—
1200	C₄	—	86	4	no	—
1201	C₄	—	86	4	no	—
1202	C₄	—	86	4	no	—
1203	C₄	—	86	4	no	—
1204	C₄	—	86	4	no	—
1205	C₄	C₂×#13063370	1	4	yes	—
1206	C₂	—	2	8	no	—
1207	C₂	—	4	2	no	—
1208	C₂	—	4	2	no	—
1209	C₂	—	4	2	no	—
1210	C₂	—	86	8	no	—
1211	C₂	—	172	4	no	—
1212	C₂	#19148197	1	4	yes	direct product factor
1213	C₂	C₂²×#41×D₄₃	1	2	yes	—
1214	C₂	C₂²×#13063370	1	1	yes	characteristic

	subgroup	G/H
center	C₂²×C₄	C₂³×D₄₃
commutator, cosocle	C₂²×C₄₃	C₂⁶
Frattini	C₂²	C₂⁵×D₄₃
Fitting	C₂×C₄₃×#525	C₂
socle	C₂³×C₄₃	C₂⁵
hypercenter	C₂×#525	D₄₃
hypocenter	C₄₃	C₂×#3481
LCS	G ▷ C₂²×C₄₃ ▷ C₄₃
UCS	C₁ ◁ C₂²×C₄ ◁ C₂×#525

Complements

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

N	H ≅ G/N	type
1. #19148197	C₂	direct (N × H)
2. C₂×#14583633	C₂	semidirect
3. C₂×#14583603	C₂	semidirect
4. C₂×#14583594	C₂	semidirect
5. C₂×#14583592	C₂	semidirect
6. C₂×#14583580	C₂	semidirect
7. C₂×#14583577	C₂	semidirect
8. C₂×#14583576	C₂	semidirect
9. C₂×#14583538	C₂	semidirect
10. C₂×#14583536	C₂	semidirect
11. C₂×#14583531	C₂	semidirect
12. C₂×#14583445	C₂	semidirect
13. C₂×#14583429	C₂	semidirect
14. C₂×#14583427	C₂	semidirect
15. C₂×#14583408	C₂	semidirect
16. C₂×#14583406	C₂	semidirect
17. C₂×C₄×#10621900	C₂	semidirect
18. C₂²×C₄×C₂²⋊D₄₃	C₂	semidirect
19. C₂×C₄×D₄×D₄₃	C₂	semidirect
20. C₂×C₄₃×#525	C₂	semidirect
21. C₂²×#10621898	C₂²	semidirect
25. C₂³×C₄×D₄₃	C₂²	semidirect
26. C₂³×C₄×D₄₃	C₂²	semidirect
27. #14583633	C₂²	semidirect
28. #14583603	C₂²	semidirect
29. #14583594	C₂²	semidirect
30. #14583592	C₂²	semidirect
31. #14583580	C₂²	semidirect
32. #14583577	C₂²	semidirect
33. #14583576	C₂²	semidirect
34. #14583538	C₂²	semidirect
35. #14583536	C₂²	semidirect
36. #14583531	C₂²	semidirect
37. #14583445	C₂²	semidirect
38. C₂×#13063323	C₂²	semidirect
40. #14583429	C₂²	semidirect
41. #14583427	C₂²	semidirect
42. C₂×#13063320	C₂²	semidirect
43. C₂×#13063320	C₂²	semidirect
44. C₂×#13063318	C₂²	semidirect
45. C₂×#13063318	C₂²	semidirect
46. C₂×#13063315	C₂²	semidirect
47. C₂×#13063315	C₂²	semidirect
48. C₂×#13063314	C₂²	semidirect
49. C₂×#13063312	C₂²	semidirect
50. C₂×#13063311	C₂²	semidirect
51. C₂×#13063311	C₂²	semidirect
52. #14583408	C₂²	semidirect
53. #14583406	C₂²	semidirect
54. C₂×#13063310	C₂²	semidirect
55. C₂×#13063310	C₂²	semidirect
56. C₂×#13063309	C₂²	semidirect
57. C₂×#13063307	C₂²	semidirect
58. C₂×#13063307	C₂²	semidirect
59. C₂×#13063306	C₂²	semidirect
60. C₂×#13063306	C₂²	semidirect
61. C₂×#13063306	C₂²	semidirect
62. C₂×#13063303	C₂²	semidirect
63. C₂×#13063303	C₂²	semidirect
64. C₂×#13063302	C₂²	semidirect
65. C₂×#13063302	C₂²	semidirect
66. C₂×#13063301	C₂²	semidirect
68. C₂×#13063298	C₂²	semidirect
70. C₂×#13063297	C₂²	semidirect
71. C₂×#13063297	C₂²	semidirect
72. C₂×#13063297	C₂²	semidirect
73. C₂×#13063296	C₂²	semidirect
76. C₂×#13063293	C₂²	semidirect
77. C₂×#13063293	C₂²	semidirect
78. C₄×#10621900	C₂²	semidirect
79. C₂×C₄×Dic₈₆	C₂²	semidirect
80. C₂×#13063290	C₂²	semidirect
81. C₂×C₄×D₁₇₂	C₂²	semidirect
82. C₂×D₄×Dic₄₃	C₂²	semidirect
83. C₂×D₄×Dic₄₃	C₂²	semidirect
84. C₂×#13063287	C₂²	semidirect
87. C₂×C₄×C₂²⋊D₄₃	C₂²	semidirect
88. C₂×C₄×C₂²⋊D₄₃	C₂²	semidirect
89. C₂×C₄×C₂²⋊D₄₃	C₂²	semidirect
90. C₂×C₄×C₂²⋊D₄₃	C₂²	semidirect
91. C₂×C₄×C₂²⋊D₄₃	C₂²	semidirect
92. C₂×C₄×C₂²⋊D₄₃	C₂²	semidirect
93. C₂×C₄×C₂²⋊D₄₃	C₂²	semidirect
94. C₂×C₄×C₂²⋊D₄₃	C₂²	semidirect
95. C₂×C₄×C₂²⋊D₄₃	C₂²	semidirect
98. C₂×(C₂²⋊D₄₃)⋊C₄	C₂²	semidirect
99. C₂×(C₂²⋊D₄₃)⋊C₄	C₂²	semidirect
100. C₄×D₄×D₄₃	C₂²	semidirect
101. C₂×#13063284	C₂²	semidirect
102. C₂×#13063283	C₂²	semidirect
103. C₂×#13063282	C₂²	semidirect
104. C₂×#13063281	C₂²	semidirect
105. C₂×#13063281	C₂²	semidirect
106. C₂²×Dic₄₃⋊C₄	C₂²	semidirect
107. C₂×C₄⋊C₄×D₄₃	C₂²	semidirect
108. C₂²×C₂²⋊Dic₄₃	C₂²	semidirect
109. C₂²×(C₂×D₄₃)⋊C₄	C₂²	semidirect
110. C₂×C₂²⋊C₄×D₄₃	C₂²	semidirect
111. C₂×C₂²⋊C₄×D₄₃	C₂²	semidirect
112. C₂²×C₄×Dic₄₃	C₂²	semidirect
113. C₂²×C₄×Dic₄₃	C₂²	semidirect
114. C₂×C₄²×D₄₃	C₂²	semidirect
115. C₂²×#41×C₄₃	C₂²	semidirect
116. C₂⁴×C₄×C₄₃	C₂²	semidirect
117. C₄₃×#525	C₂²	semidirect
118. C₂×#123×C₄₃	C₂²	semidirect
119. C₂×#123×C₄₃	C₂²	semidirect
120. C₂×C₂²⋊Q₈×C₄₃	C₂²	semidirect
121. C₂×#121×C₄₃	C₂²	semidirect
123. C₂×#120×C₄₃	C₂²	semidirect
124. C₂×C₄×D₄×C₄₃	C₂²	semidirect
125. C₂×C₄×D₄×C₄₃	C₂²	semidirect
126. C₂×#117×C₄₃	C₂²	semidirect
130. C₂×#10621898	C₂³	semidirect
162. C₂²×C₄×D₄₃	C₂³	semidirect
163. C₂²×C₄×D₄₃	C₂³	semidirect
164. #13063323	C₂³	semidirect
166. #13063320	C₂³	semidirect
167. #13063320	C₂³	semidirect
168. #13063318	C₂³	semidirect
169. #13063318	C₂³	semidirect
170. #13063315	C₂³	semidirect
171. #13063315	C₂³	semidirect
172. #13063314	C₂³	semidirect
173. #13063312	C₂³	semidirect
174. #13063311	C₂³	semidirect
175. #13063311	C₂³	semidirect
176. #13063310	C₂³	semidirect
177. #13063310	C₂³	semidirect
178. #13063309	C₂³	semidirect
179. #13063307	C₂³	semidirect
180. #13063307	C₂³	semidirect
181. #13063306	C₂³	semidirect
182. #13063306	C₂³	semidirect
183. #13063306	C₂³	semidirect
184. #13063303	C₂³	semidirect
185. #13063303	C₂³	semidirect
186. #13063302	C₂³	semidirect
187. #13063302	C₂³	semidirect
188. #13063301	C₂³	semidirect
190. #13063298	C₂³	semidirect
192. #13063297	C₂³	semidirect
193. #13063297	C₂³	semidirect
194. #13063297	C₂³	semidirect
195. #13063296	C₂³	semidirect
198. #13063293	C₂³	semidirect
199. #13063293	C₂³	semidirect
200. C₄×Dic₈₆	C₂³	semidirect
201. #13063290	C₂³	semidirect
202. C₄×D₁₇₂	C₂³	semidirect
203. D₄×Dic₄₃	C₂³	semidirect
204. D₄×Dic₄₃	C₂³	semidirect
205. #13063287	C₂³	semidirect
208. C₄×C₂²⋊D₄₃	C₂³	semidirect
209. C₄×C₂²⋊D₄₃	C₂³	semidirect
210. C₄×C₂²⋊D₄₃	C₂³	semidirect
211. C₄×C₂²⋊D₄₃	C₂³	semidirect
212. C₄×C₂²⋊D₄₃	C₂³	semidirect
213. C₄×C₂²⋊D₄₃	C₂³	semidirect
214. C₄×C₂²⋊D₄₃	C₂³	semidirect
215. C₄×C₂²⋊D₄₃	C₂³	semidirect
218. (C₂²⋊D₄₃)⋊C₄	C₂³	semidirect
219. (C₂²⋊D₄₃)⋊C₄	C₂³	semidirect
220. #13063284	C₂³	semidirect
221. #13063283	C₂³	semidirect
222. #13063282	C₂³	semidirect
223. #13063281	C₂³	semidirect
224. #13063281	C₂³	semidirect
238. C₂×Dic₄₃⋊C₄	C₂³	semidirect
239. C₄⋊C₄×D₄₃	C₂³	semidirect
248. C₂×C₂²⋊Dic₄₃	C₂³	semidirect
259. C₂×(C₂×D₄₃)⋊C₄	C₂³	semidirect
260. C₂²⋊C₄×D₄₃	C₂³	semidirect
261. C₂²⋊C₄×D₄₃	C₂³	semidirect
270. C₂×C₄×Dic₄₃	C₂³	semidirect
271. C₂×C₄×Dic₄₃	C₂³	semidirect
272. C₄²×D₄₃	C₂³	semidirect
275. C₂×#41×C₄₃	C₂³	semidirect
289. C₂³×C₄×C₄₃	C₂³	semidirect
290. #123×C₄₃	C₂³	semidirect
291. #123×C₄₃	C₂³	semidirect
292. C₂²⋊Q₈×C₄₃	C₂³	semidirect
293. #121×C₄₃	C₂³	semidirect
295. #120×C₄₃	C₂³	semidirect
296. C₄×D₄×C₄₃	C₂³	semidirect
297. C₄×D₄×C₄₃	C₂³	semidirect
298. #117×C₄₃	C₂³	semidirect
365. C₂×C₂²⋊D₄₃	#41	semidirect
529. C₂²⋊D₄₃	C₂×#41	semidirect
615. C₂×#525	D₄₃	semidirect
623. C₂×C₄₃	#3481	semidirect
630. C₂²×#41	C₂×D₄₃	semidirect
635. C₂⁴×C₄	C₂×D₄₃	semidirect
663. #525	C₂×D₄₃	semidirect
672. C₂×#123	C₂×D₄₃	semidirect
673. C₂×#123	C₂×D₄₃	semidirect
679. C₂×C₂²⋊Q₈	C₂×D₄₃	semidirect
687. C₂×#121	C₂×D₄₃	semidirect
693. C₂×#120	C₂×D₄₃	semidirect
717. C₂×C₄×D₄	C₂×D₄₃	semidirect
718. C₂×C₄×D₄	C₂×D₄₃	semidirect
724. C₂×#117	C₂×D₄₃	semidirect
734. C₄₃	C₂×#3481	semidirect
743. C₂×#41	C₂²×D₄₃	semidirect
788. C₂³×C₄	C₂²×D₄₃	semidirect
809. #123	C₂²×D₄₃	semidirect
810. #123	C₂²×D₄₃	semidirect
816. C₂²⋊Q₈	C₂²×D₄₃	semidirect
824. #121	C₂²×D₄₃	semidirect
830. #120	C₂²×D₄₃	semidirect
851. C₄×D₄	C₂²×D₄₃	semidirect
852. C₄×D₄	C₂²×D₄₃	semidirect
858. #117	C₂²×D₄₃	semidirect
1212. C₂	#19148197	direct (N × H)

Maximal subgroups

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

subgroup	index
#19148197	2
C₂×#14583633	2
C₂×#14583603	2
C₂×#14583594	2
C₂×#14583592	2
C₂×#14583580	2
C₂×#14583577	2
C₂×#14583576	2
C₂×#14583538	2
C₂×#14583536	2
C₂×#14583531	2
C₂×#14583445	2
C₂×#14583429	2
C₂×#14583427	2
C₂×#14583408	2
C₂×#14583406	2
C₂×C₄×#10621900	2
C₂²×C₄×C₂²⋊D₄₃	2
C₂×C₄×D₄×D₄₃	2
C₂×C₄₃×#525	2
C₂×#3481	43

Subgroups — C2×#19148197 #26003675

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₂×#19148197 #26003675