Subgroups — C₂×#19149169 #26004076

Order 11008.

7354 conjugacy classes of subgroups.

The subgroup lattice has 1348 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#19149169	C₂	1	32	yes	maximal, direct product factor
2	C₂×#14583644	C₂	1	2	yes	maximal, complemented
3	C₂×#14583636	C₂	1	2	yes	maximal, complemented
4	C₂×#14583635	C₂	1	1	yes	maximal, characteristic, complemented
5	C₂×#14583621	C₂	1	1	yes	maximal, characteristic, complemented
6	C₂×#14583592	C₂	1	2	yes	maximal, complemented
7	C₂×#14583578	C₂	1	2	yes	maximal, complemented
8	C₂×#14583558	C₂	1	1	yes	maximal, characteristic, complemented
9	C₂×#14583555	C₂	1	1	yes	maximal, characteristic, complemented
10	C₂×#14583548	C₂	1	1	yes	maximal, characteristic, complemented
11	C₂×#14583546	C₂	1	1	yes	maximal, characteristic, complemented
12	C₂×#14583537	C₂	1	1	yes	maximal, characteristic, complemented
13	C₂×#14583507	C₂	1	1	yes	maximal, characteristic, complemented
14	C₂×#14583503	C₂	1	2	yes	maximal, complemented
15	C₂×#14583502	C₂	1	1	yes	maximal, characteristic, complemented
16	C₂×#14583491	C₂	1	2	yes	maximal, complemented
17	C₂×#14583486	C₂	1	2	yes	maximal, complemented
18	C₂×#14583481	C₂	1	2	yes	maximal, complemented
19	C₂×#14583470	C₂	1	1	yes	maximal, characteristic, complemented
20	C₂×#14583462	C₂	1	1	yes	maximal, characteristic, complemented
21	C₂×#14583445	C₂	1	1	yes	maximal, characteristic, complemented
22	C₂×#14583430	C₂	1	1	yes	maximal, characteristic, complemented
23	C₂×#14583429	C₂	1	1	yes	maximal, characteristic, complemented
24	C₂×C₄₃×#550	C₂	1	1	yes	maximal, characteristic, complemented
25	C₂²×#10621898	C₂²	1	1	yes	characteristic
26	C₂²×#10621900	C₂²	1	1	yes	characteristic
27	C₂³×Dic₈₆	C₂²	1	1	yes	characteristic, complemented
28	C₂²×D₄×D₄₃	C₂²	1	1	yes	characteristic
29	#14583644	C₂²	1	32	yes	complemented
30	#14583636	C₂²	1	32	yes	complemented
31	#14583635	C₂²	1	16	yes	complemented
32	#14583621	C₂²	1	16	yes	complemented
33	#14583592	C₂²	1	32	yes	complemented
34	#14583578	C₂²	1	32	yes	complemented
35	#14583558	C₂²	1	16	yes	complemented
36	#14583555	C₂²	1	16	yes	complemented
37	#14583548	C₂²	1	16	yes	complemented
38	#14583546	C₂²	1	16	yes	complemented
39	#14583537	C₂²	1	16	yes	complemented
40	#14583507	C₂²	1	16	yes	complemented
41	#14583503	C₂²	1	32	yes	complemented
42	#14583502	C₂²	1	16	yes	complemented
43	#14583491	C₂²	1	32	yes	complemented
44	#14583486	C₂²	1	32	yes	complemented
45	#14583481	C₂²	1	32	yes	complemented
46	#14583470	C₂²	1	16	yes	complemented
47	#14583462	C₂²	1	16	yes	complemented
48	#14583445	C₂²	1	16	yes	complemented
49	C₂×#13063323	C₂²	1	1	yes	characteristic, complemented
50	C₂×#13063323	C₂²	1	1	yes	characteristic, complemented
51	C₂×#13063321	C₂²	1	1	yes	characteristic
52	#14583430	C₂²	1	16	yes	complemented
53	#14583429	C₂²	1	16	yes	complemented
54	C₂×#13063320	C₂²	1	1	yes	characteristic
55	C₂×#13063320	C₂²	1	2	yes	—
56	C₂×#13063320	C₂²	1	2	yes	complemented
57	C₂×#13063319	C₂²	1	2	yes	—
58	C₂×#13063319	C₂²	1	2	yes	complemented
59	C₂×#13063318	C₂²	1	1	yes	characteristic, complemented
60	C₂×#13063318	C₂²	1	2	yes	complemented
61	C₂×#13063317	C₂²	1	2	yes	complemented
62	C₂×#13063316	C₂²	1	1	yes	characteristic, complemented
63	C₂×#13063315	C₂²	1	2	yes	complemented
64	C₂×#13063315	C₂²	1	1	yes	characteristic, complemented
65	C₂×#13063314	C₂²	1	1	yes	characteristic
66	C₂×#13063313	C₂²	1	1	yes	characteristic
67	C₂×#13063312	C₂²	1	1	yes	characteristic
68	C₂×#13063312	C₂²	1	1	yes	characteristic
69	C₂×#13063312	C₂²	1	1	yes	characteristic, complemented
70	C₂×#13063312	C₂²	1	2	yes	complemented
71	C₂×#13063311	C₂²	1	2	yes	—
72	C₂×#13063311	C₂²	1	1	yes	characteristic
73	C₂×#13063311	C₂²	1	2	yes	complemented
74	C₂×#13063309	C₂²	1	1	yes	characteristic
75	C₂×#13063309	C₂²	1	2	yes	complemented
76	C₂×#13063308	C₂²	1	2	yes	—
77	C₂×#13063308	C₂²	1	2	yes	—
78	C₂×#13063307	C₂²	1	2	yes	—
79	C₂×#13063307	C₂²	1	2	yes	complemented
80	C₂×#13063306	C₂²	1	2	yes	complemented
81	C₂×#13063306	C₂²	1	2	yes	complemented
82	C₂×#13063306	C₂²	1	2	yes	complemented
83	C₂×#13063306	C₂²	1	1	yes	characteristic, complemented
84	C₂×#13063306	C₂²	1	2	yes	complemented
85	C₂×#13063306	C₂²	1	2	yes	complemented
86	C₂×#13063306	C₂²	1	2	yes	complemented
87	C₂×#13063305	C₂²	1	1	yes	characteristic
88	C₂×#13063304	C₂²	1	1	yes	characteristic, complemented
89	C₂×#13063304	C₂²	1	2	yes	complemented
90	C₂×#13063304	C₂²	1	2	yes	complemented
91	C₂×#13063303	C₂²	1	2	yes	complemented
92	C₂×#13063303	C₂²	1	2	yes	complemented
93	C₂×#13063302	C₂²	1	2	yes	complemented
94	C₂×#13063302	C₂²	1	1	yes	characteristic, complemented
95	C₂×#13063301	C₂²	1	1	yes	characteristic
96	C₂×#13063299	C₂²	1	1	yes	characteristic
97	C₂×#13063297	C₂²	1	2	yes	—
98	C₂×#13063297	C₂²	1	2	yes	—
99	C₂×#13063297	C₂²	1	2	yes	—
100	C₂×#13063297	C₂²	1	2	yes	—
101	C₂×#13063297	C₂²	1	1	yes	characteristic
102	C₂×#13063297	C₂²	1	2	yes	—
103	C₂×#13063297	C₂²	1	2	yes	complemented
104	C₂×#13063297	C₂²	1	2	yes	complemented
105	C₂×#13063297	C₂²	1	2	yes	complemented
106	C₂×#13063297	C₂²	1	2	yes	complemented
107	C₂×#13063296	C₂²	1	2	yes	—
108	C₂×#13063296	C₂²	1	2	yes	complemented
109	C₂×#13063293	C₂²	1	2	yes	—
110	C₂×#13063293	C₂²	1	2	yes	—
111	C₂×#13063293	C₂²	1	2	yes	—
112	C₂×#13063293	C₂²	1	2	yes	—
113	C₂×C₄×Dic₈₆	C₂²	1	1	yes	characteristic, complemented
114	C₂×C₄×Dic₈₆	C₂²	1	1	yes	characteristic, complemented
115	C₂×#13063290	C₂²	1	1	yes	characteristic, complemented
116	C₂×D₄×Dic₄₃	C₂²	1	1	yes	characteristic
117	C₂×D₄×Dic₄₃	C₂²	1	1	yes	characteristic, complemented
118	C₂×D₄×Dic₄₃	C₂²	1	2	yes	complemented
119	C₂×D₄×Dic₄₃	C₂²	1	2	yes	complemented
120	C₂×D₄×Dic₄₃	C₂²	1	2	yes	complemented
121	C₂×#13063287	C₂²	1	1	yes	characteristic
122	C₂×C₄×C₂²⋊D₄₃	C₂²	1	1	yes	characteristic
123	C₂×C₄×C₂²⋊D₄₃	C₂²	1	1	yes	characteristic
124	C₂×C₄×C₂²⋊D₄₃	C₂²	1	2	yes	complemented
125	C₂×C₄×C₂²⋊D₄₃	C₂²	1	2	yes	complemented
126	C₂×(C₂²⋊D₄₃)⋊C₄	C₂²	1	2	yes	complemented
127	C₂×#13063284	C₂²	1	1	yes	characteristic, complemented
128	C₂×#13063282	C₂²	1	1	yes	characteristic
129	C₂×#13063282	C₂²	1	2	yes	complemented
130	C₂×#13063281	C₂²	1	2	yes	complemented
131	C₂²×Dic₄₃⋊C₄	C₂²	1	2	yes	complemented
132	C₂²×(C₂×D₄₃)⋊C₄	C₂²	1	2	yes	—
133	C₂×C₂²⋊C₄×D₄₃	C₂²	1	2	yes	—
134	C₂²×C₄×Dic₄₃	C₂²	1	1	yes	characteristic, complemented
135	C₂²×#41×C₄₃	C₂²	1	1	yes	characteristic
136	C₂²×#41×C₄₃	C₂²	1	1	yes	characteristic, complemented
137	C₄₃×#550	C₂²	1	16	yes	complemented
138	C₂×#127×C₄₃	C₂²	1	1	yes	characteristic
139	C₂×#127×C₄₃	C₂²	1	2	yes	complemented
140	C₂×#121×C₄₃	C₂²	1	1	yes	characteristic
141	C₂×#121×C₄₃	C₂²	1	1	yes	characteristic, complemented
142	C₂×#121×C₄₃	C₂²	1	2	yes	complemented
143	C₂×#121×C₄₃	C₂²	1	2	yes	complemented
144	C₂×C₄×Q₈×C₄₃	C₂²	1	1	yes	characteristic, complemented
145	C₂×C₄×D₄×C₄₃	C₂²	1	1	yes	characteristic, complemented
146	C₂×C₄×D₄×C₄₃	C₂²	1	2	yes	complemented
147	C₂⁴×D₄₃	C₂³	1	2	yes	—
148	C₂×#10621898	—	4	4	no	—
149	C₂×#10621898	C₂³	1	8	yes	—
150	C₂×#10621900	—	4	4	no	—
151	C₂×#10621900	C₂³	1	8	yes	—
152	C₂²×Dic₈₆	—	4	4	no	—
153	C₂²×Dic₈₆	C₂³	1	1	yes	characteristic
154	C₂²×Dic₈₆	C₂³	1	1	yes	characteristic
155	C₂²×Dic₈₆	C₂³	1	1	yes	characteristic
156	C₂²×Dic₈₆	C₂³	1	2	yes	—
157	C₂²×Dic₈₆	C₂³	1	8	yes	complemented
158	C₂²×D₁₇₂	C₂³	1	1	yes	characteristic
159	C₂²×C₂²⋊D₄₃	C₂³	1	2	yes	—
160	C₂²×C₂²⋊D₄₃	C₂³	1	1	yes	characteristic
161	C₂²×C₂²⋊D₄₃	C₂³	1	1	yes	characteristic
162	C₂²×C₂²⋊D₄₃	C₂³	1	2	yes	—
163	C₂²×C₂²⋊D₄₃	C₂³	1	2	yes	—
164	C₂²×C₂²⋊D₄₃	C₂³	1	2	yes	—
165	C₂²×C₂²⋊D₄₃	C₂³	1	2	yes	—
166	C₂²×C₂²⋊D₄₃	C₂³	1	2	yes	—
167	C₂×D₄×D₄₃	—	4	4	no	—
168	C₂×D₄×D₄₃	C₂³	1	8	yes	—
169	C₂³×Dic₄₃	C₂³	1	1	yes	characteristic
170	C₂³×Dic₄₃	C₂³	1	1	yes	characteristic
171	C₂³×Dic₄₃	C₂³	1	2	yes	—
172	C₂³×Dic₄₃	C₂³	1	2	yes	—
173	C₂³×Dic₄₃	C₂³	1	2	yes	—
174	C₂³×Dic₄₃	C₂³	1	2	yes	—
175	C₂²×C₄×D₄₃	C₂³	1	1	yes	characteristic
176	C₂²×C₄×D₄₃	C₂³	1	2	yes	—
177	C₂²×C₄×D₄₃	C₂³	1	2	yes	—
178	#13063323	C₂³	1	8	yes	complemented
179	#13063323	C₂³	1	8	yes	complemented
180	#13063321	C₂³	1	8	yes	—
181	#13063320	C₂³	1	8	yes	—
182	#13063320	C₂³	1	16	yes	—
183	#13063320	C₂³	1	16	yes	complemented
184	#13063319	C₂³	1	16	yes	—
185	#13063319	C₂³	1	16	yes	complemented
186	#13063318	C₂³	1	8	yes	complemented
187	#13063318	C₂³	1	16	yes	complemented
188	#13063317	C₂³	1	16	yes	complemented
189	#13063316	C₂³	1	8	yes	complemented
190	#13063315	C₂³	1	16	yes	complemented
191	#13063315	C₂³	1	8	yes	complemented
192	#13063314	C₂³	1	8	yes	—
193	#13063313	C₂³	1	8	yes	—
194	#13063312	C₂³	1	8	yes	—
195	#13063312	C₂³	1	8	yes	—
196	#13063312	C₂³	1	8	yes	complemented
197	#13063312	C₂³	1	16	yes	complemented
198	#13063311	C₂³	1	16	yes	—
199	#13063311	C₂³	1	8	yes	—
200	#13063311	C₂³	1	16	yes	complemented
201	#13063309	C₂³	1	8	yes	—
202	#13063309	C₂³	1	16	yes	complemented
203	#13063308	C₂³	1	16	yes	—
204	#13063308	C₂³	1	16	yes	—
205	#13063307	C₂³	1	16	yes	—
206	#13063307	C₂³	1	16	yes	complemented
207	#13063306	C₂³	1	16	yes	complemented
208	#13063306	C₂³	1	16	yes	complemented
209	#13063306	C₂³	1	16	yes	complemented
210	#13063306	C₂³	1	16	yes	complemented
211	#13063306	C₂³	1	16	yes	complemented
212	#13063306	C₂³	1	8	yes	complemented
213	#13063306	C₂³	1	16	yes	complemented
214	#13063305	C₂³	1	8	yes	—
215	#13063304	C₂³	1	8	yes	complemented
216	#13063304	C₂³	1	16	yes	complemented
217	#13063304	C₂³	1	16	yes	complemented
218	#13063303	C₂³	1	16	yes	complemented
219	#13063303	C₂³	1	16	yes	complemented
220	#13063302	C₂³	1	16	yes	complemented
221	#13063302	C₂³	1	8	yes	complemented
222	#13063301	C₂³	1	8	yes	—
223	#13063299	C₂³	1	8	yes	—
224	#13063297	C₂³	1	16	yes	—
225	#13063297	C₂³	1	16	yes	—
226	#13063297	C₂³	1	16	yes	—
227	#13063297	C₂³	1	8	yes	—
228	#13063297	C₂³	1	16	yes	—
229	#13063297	C₂³	1	16	yes	—
230	#13063297	C₂³	1	16	yes	complemented
231	#13063297	C₂³	1	16	yes	complemented
232	#13063297	C₂³	1	16	yes	complemented
233	#13063297	C₂³	1	16	yes	complemented
234	#13063296	C₂³	1	16	yes	—
235	#13063296	C₂³	1	16	yes	complemented
236	#13063293	C₂³	1	16	yes	—
237	#13063293	C₂³	1	16	yes	—
238	#13063293	C₂³	1	16	yes	—
239	#13063293	C₂³	1	16	yes	—
240	C₄×Dic₈₆	C₂³	1	8	yes	complemented
241	C₄×Dic₈₆	C₂³	1	8	yes	complemented
242	#13063290	C₂³	1	8	yes	complemented
243	D₄×Dic₄₃	C₂³	1	8	yes	—
244	D₄×Dic₄₃	C₂³	1	16	yes	complemented
245	D₄×Dic₄₃	C₂³	1	16	yes	complemented
246	D₄×Dic₄₃	C₂³	1	8	yes	complemented
247	D₄×Dic₄₃	C₂³	1	16	yes	complemented
248	#13063287	C₂³	1	8	yes	—
249	C₄×C₂²⋊D₄₃	C₂³	1	8	yes	—
250	C₄×C₂²⋊D₄₃	C₂³	1	8	yes	—
251	C₄×C₂²⋊D₄₃	C₂³	1	16	yes	complemented
252	C₄×C₂²⋊D₄₃	C₂³	1	16	yes	complemented
253	(C₂²⋊D₄₃)⋊C₄	C₂³	1	16	yes	complemented
254	#13063284	C₂³	1	8	yes	complemented
255	#13063282	C₂³	1	8	yes	—
256	#13063282	C₂³	1	16	yes	complemented
257	#13063281	C₂³	1	16	yes	complemented
258	C₂×C₄⋊Dic₄₃	C₂³	1	1	yes	characteristic
259	C₂×C₄⋊Dic₄₃	C₂³	1	1	yes	characteristic
260	C₂×C₄⋊Dic₄₃	C₂³	1	1	yes	characteristic
261	C₂×C₄⋊Dic₄₃	C₂³	1	1	yes	characteristic
262	C₂×C₄⋊Dic₄₃	C₂³	1	2	yes	—
263	C₂×C₄⋊Dic₄₃	C₂³	1	2	yes	—
264	C₂×Dic₄₃⋊C₄	C₂³	1	1	yes	characteristic
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	2	yes	—
269	C₂×Dic₄₃⋊C₄	C₂³	1	1	yes	characteristic
270	C₂×Dic₄₃⋊C₄	C₂³	1	1	yes	characteristic
271	C₂×Dic₄₃⋊C₄	C₂³	1	1	yes	characteristic
272	C₂×Dic₄₃⋊C₄	C₂³	1	2	yes	—
273	C₂×Dic₄₃⋊C₄	C₂³	1	1	yes	characteristic
274	C₂×Dic₄₃⋊C₄	C₂³	1	2	yes	—
275	C₂×Dic₄₃⋊C₄	C₂³	1	2	yes	—
276	C₂×Dic₄₃⋊C₄	C₂³	1	2	yes	—
277	C₂×Dic₄₃⋊C₄	C₂³	1	1	yes	characteristic
278	C₂×Dic₄₃⋊C₄	C₂³	1	2	yes	—
279	C₂×Dic₄₃⋊C₄	C₂³	1	16	yes	complemented
280	C₂×C₂²⋊Dic₄₃	C₂³	1	2	yes	—
281	C₂×C₂²⋊Dic₄₃	C₂³	1	2	yes	—
282	C₂×C₂²⋊Dic₄₃	C₂³	1	1	yes	characteristic
283	C₂×C₂²⋊Dic₄₃	C₂³	1	1	yes	characteristic
284	C₂×C₂²⋊Dic₄₃	C₂³	1	1	yes	characteristic
285	C₂×C₂²⋊Dic₄₃	C₂³	1	1	yes	characteristic
286	C₂×C₂²⋊Dic₄₃	C₂³	1	2	yes	—
287	C₂×C₂²⋊Dic₄₃	C₂³	1	2	yes	—
288	C₂×C₂²⋊Dic₄₃	C₂³	1	2	yes	—
289	C₂×C₂²⋊Dic₄₃	C₂³	1	2	yes	—
290	C₂×C₂²⋊Dic₄₃	C₂³	1	2	yes	—
291	C₂×C₂²⋊Dic₄₃	C₂³	1	2	yes	—
292	C₂×C₂²⋊Dic₄₃	C₂³	1	2	yes	—
293	C₂×(C₂×D₄₃)⋊C₄	C₂³	1	16	yes	—
294	C₂×(C₂×D₄₃)⋊C₄	C₂³	1	1	yes	characteristic
295	C₂×(C₂×D₄₃)⋊C₄	C₂³	1	2	yes	—
296	C₂×(C₂×D₄₃)⋊C₄	C₂³	1	1	yes	characteristic
297	C₂×(C₂×D₄₃)⋊C₄	C₂³	1	2	yes	—
298	C₂×(C₂×D₄₃)⋊C₄	C₂³	1	2	yes	—
299	C₂×(C₂×D₄₃)⋊C₄	C₂³	1	2	yes	—
300	C₂×(C₂×D₄₃)⋊C₄	C₂³	1	1	yes	characteristic
301	C₂×(C₂×D₄₃)⋊C₄	C₂³	1	1	yes	characteristic
302	C₂×(C₂×D₄₃)⋊C₄	C₂³	1	2	yes	—
303	C₂×(C₂×D₄₃)⋊C₄	C₂³	1	2	yes	—
304	C₂×(C₂×D₄₃)⋊C₄	C₂³	1	2	yes	—
305	C₂×(C₂×D₄₃)⋊C₄	C₂³	1	2	yes	—
306	C₂²⋊C₄×D₄₃	C₂³	1	16	yes	—
307	C₂×C₄×Dic₄₃	C₂³	1	1	yes	characteristic
308	C₂×C₄×Dic₄₃	C₂³	1	1	yes	characteristic
309	C₂×C₄×Dic₄₃	C₂³	1	1	yes	characteristic
310	C₂×C₄×Dic₄₃	C₂³	1	1	yes	characteristic
311	C₂×C₄×Dic₄₃	C₂³	1	2	yes	—
312	C₂×C₄×Dic₄₃	C₂³	1	1	yes	characteristic
313	C₂×C₄×Dic₄₃	C₂³	1	2	yes	—
314	C₂×C₄×Dic₄₃	C₂³	1	8	yes	complemented
315	C₂×#41×C₄₃	—	4	4	no	—
316	C₂×#41×C₄₃	—	4	4	no	—
317	C₂×#41×C₄₃	C₂³	1	8	yes	—
318	C₂×#41×C₄₃	C₂³	1	8	yes	complemented
319	C₂²×Q₈×C₄₃	C₂³	1	1	yes	characteristic
320	C₂²×D₄×C₄₃	C₂³	1	1	yes	characteristic
321	C₂²×D₄×C₄₃	C₂³	1	1	yes	characteristic
322	C₂²×D₄×C₄₃	C₂³	1	2	yes	—
323	C₂²×D₄×C₄₃	C₂³	1	1	yes	characteristic
324	C₂²×D₄×C₄₃	C₂³	1	2	yes	—
325	C₂²×D₄×C₄₃	C₂³	1	2	yes	—
326	C₂²×D₄×C₄₃	C₂³	1	2	yes	—
327	C₂²×D₄×C₄₃	C₂³	1	2	yes	—
328	C₂²×D₄×C₄₃	C₂³	1	2	yes	—
329	C₂³×C₄×C₄₃	C₂³	1	1	yes	characteristic
330	C₂³×C₄×C₄₃	C₂³	1	1	yes	characteristic
331	C₂³×C₄×C₄₃	C₂³	1	2	yes	—
332	C₂³×C₄×C₄₃	C₂³	1	2	yes	—
333	#127×C₄₃	C₂³	1	8	yes	—
334	#127×C₄₃	C₂³	1	16	yes	complemented
335	#121×C₄₃	C₂³	1	8	yes	—
336	#121×C₄₃	C₂³	1	8	yes	complemented
337	#121×C₄₃	C₂³	1	16	yes	complemented
338	#121×C₄₃	C₂³	1	16	yes	complemented
339	C₄×Q₈×C₄₃	C₂³	1	8	yes	complemented
340	C₄×D₄×C₄₃	C₂³	1	8	yes	complemented
341	C₄×D₄×C₄₃	C₂³	1	16	yes	complemented
342	C₂×C₄⋊C₄×C₄₃	C₂³	1	1	yes	characteristic
343	C₂×C₄⋊C₄×C₄₃	C₂³	1	1	yes	characteristic
344	C₂×C₄⋊C₄×C₄₃	C₂³	1	2	yes	—
345	C₂×C₂²⋊C₄×C₄₃	C₂³	1	2	yes	—
346	C₂×C₂²⋊C₄×C₄₃	C₂³	1	1	yes	characteristic
347	C₂×C₂²⋊C₄×C₄₃	C₂³	1	2	yes	—
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	2	yes	—
351	C₂⁴×C₄₃	C₂⁴	1	2	yes	—
352	C₂⁴×C₄₃	C₂⁴	1	1	yes	characteristic
353	C₂⁴×C₄₃	C₂⁴	1	2	yes	—
354	C₂⁴×C₄₃	C₂⁴	1	1	yes	characteristic
355	C₂³×D₄₃	—	4	4	no	—
356	C₂³×D₄₃	—	4	4	no	—
357	C₂³×D₄₃	—	4	4	no	—
358	C₂³×D₄₃	C₂⁴	1	1	yes	characteristic
359	C₂³×D₄₃	C₂⁴	1	2	yes	—
360	C₂³×D₄₃	C₂⁴	1	8	yes	—
361	#41×C₄₃	—	4	16	no	—
362	#41×C₄₃	—	4	16	no	—
363	C₂×Q₈×C₄₃	—	2	4	no	—
364	C₂×Q₈×C₄₃	C₂⁴	1	4	yes	—
365	C₂×D₄×C₄₃	—	2	4	no	—
366	C₂×D₄×C₄₃	—	2	4	no	—
367	C₂×D₄×C₄₃	—	4	4	no	—
368	C₂×D₄×C₄₃	—	4	2	no	—
369	C₂×D₄×C₄₃	—	4	4	no	—
370	C₂×D₄×C₄₃	—	4	4	no	—
371	C₂×D₄×C₄₃	—	4	4	no	—
372	C₂×D₄×C₄₃	—	4	4	no	—
373	C₂×D₄×C₄₃	—	4	4	no	—
374	C₂×D₄×C₄₃	C₂⁴	1	4	yes	—
375	C₂×D₄×C₄₃	C₂⁴	1	4	yes	—
376	C₂×D₄×C₄₃	C₂⁴	1	8	yes	—
377	C₂×D₄×C₄₃	C₂⁴	1	4	yes	—
378	C₂×D₄×C₄₃	C₂⁴	1	8	yes	—
379	C₂×D₄×C₄₃	C₂⁴	1	8	yes	—
380	C₂×D₄×C₄₃	C₂⁴	1	8	yes	—
381	C₂×D₄×C₄₃	C₂⁴	1	8	yes	—
382	C₂×D₄×C₄₃	C₂⁴	1	8	yes	—
383	C₂²×C₄×C₄₃	—	2	4	no	—
384	C₂²×C₄×C₄₃	—	2	4	no	—
385	C₂²×C₄×C₄₃	—	4	4	no	—
386	C₂²×C₄×C₄₃	—	4	4	no	—
387	C₂²×C₄×C₄₃	C₂⁴	1	1	yes	characteristic
388	C₂²×C₄×C₄₃	C₂⁴	1	1	yes	characteristic
389	C₂²×C₄×C₄₃	C₂⁴	1	2	yes	—
390	C₂²×C₄×C₄₃	C₂⁴	1	2	yes	—
391	C₂²×C₄×C₄₃	C₂⁴	1	1	yes	characteristic
392	C₂²×C₄×C₄₃	C₂⁴	1	1	yes	characteristic
393	C₂²×C₄×C₄₃	C₂⁴	1	4	yes	—
394	C₂²×C₄×C₄₃	C₂⁴	1	4	yes	—
395	C₂²×C₄×C₄₃	C₂⁴	1	8	yes	—
396	C₂²×C₄×C₄₃	C₂⁴	1	8	yes	—
397	C₂²×C₄×C₄₃	C₂⁴	1	1	yes	characteristic
398	C₂×C₂²⋊D₄₃	—	4	4	no	—
399	C₂×C₂²⋊D₄₃	—	4	4	no	—
400	C₂×C₂²⋊D₄₃	—	4	4	no	—
401	C₂×C₂²⋊D₄₃	—	4	4	no	—
402	C₂×C₂²⋊D₄₃	—	4	2	no	—
403	C₂×C₂²⋊D₄₃	—	4	2	no	—
404	C₂×C₂²⋊D₄₃	—	4	4	no	—
405	C₂×C₂²⋊D₄₃	—	4	4	no	—
406	C₂×C₂²⋊D₄₃	C₂⁴	1	8	yes	—
407	C₂×C₂²⋊D₄₃	C₂⁴	1	4	yes	—
408	C₂×C₂²⋊D₄₃	C₂⁴	1	4	yes	—
409	C₂×C₂²⋊D₄₃	C₂⁴	1	8	yes	—
410	C₂×C₂²⋊D₄₃	C₂⁴	1	8	yes	—
411	C₂×C₂²⋊D₄₃	C₂⁴	1	8	yes	—
412	C₂×C₂²⋊D₄₃	C₂⁴	1	8	yes	—
413	C₂×C₂²⋊D₄₃	C₂⁴	1	8	yes	—
414	C₂²×Dic₄₃	—	4	2	no	—
415	C₂²×Dic₄₃	—	4	4	no	—
416	C₂²×Dic₄₃	—	4	2	no	—
417	C₂²×Dic₄₃	—	4	4	no	—
418	C₂²×Dic₄₃	—	4	4	no	—
419	C₂²×Dic₄₃	—	4	4	no	—
420	C₂²×Dic₄₃	C₂⁴	1	1	yes	characteristic
421	C₂²×Dic₄₃	C₂⁴	1	1	yes	characteristic
422	C₂²×Dic₄₃	C₂⁴	1	1	yes	characteristic
423	C₂²×Dic₄₃	C₂⁴	1	1	yes	characteristic
424	C₂²×Dic₄₃	C₂⁴	1	1	yes	characteristic
425	C₂²×Dic₄₃	C₂⁴	1	2	yes	—
426	C₂²×Dic₄₃	C₂⁴	1	2	yes	—
427	C₂²×Dic₄₃	C₂⁴	1	1	yes	characteristic
428	C₂²×Dic₄₃	C₂⁴	1	2	yes	—
429	C₂²×Dic₄₃	C₂⁴	1	1	yes	characteristic
430	C₂²×Dic₄₃	C₂⁴	1	4	yes	—
431	C₂²×Dic₄₃	C₂⁴	1	4	yes	—
432	C₂²×Dic₄₃	C₂⁴	1	8	yes	—
433	C₂²×Dic₄₃	C₂⁴	1	8	yes	—
434	C₂²×Dic₄₃	C₂⁴	1	8	yes	—
435	C₂²×Dic₄₃	C₂⁴	1	8	yes	—
436	#10621900	—	4	16	no	—
437	D₄×D₄₃	—	4	16	no	—
438	#10621898	—	4	16	no	—
439	C₂×D₁₇₂	—	2	4	no	—
440	C₂×D₁₇₂	C₂⁴	1	4	yes	—
441	C₂×C₄×D₄₃	—	2	4	no	—
442	C₂×C₄×D₄₃	—	4	4	no	—
443	C₂×C₄×D₄₃	—	4	4	no	—
444	C₂×C₄×D₄₃	C₂⁴	1	4	yes	—
445	C₂×C₄×D₄₃	C₂⁴	1	8	yes	—
446	C₂×C₄×D₄₃	C₂⁴	1	8	yes	—
447	C₂×Dic₈₆	—	2	4	no	—
448	C₂×Dic₈₆	—	2	4	no	—
449	C₂×Dic₈₆	—	4	16	no	—
450	C₂×Dic₈₆	—	4	4	no	—
451	C₂×Dic₈₆	—	4	2	no	—
452	C₂×Dic₈₆	C₂⁴	1	4	yes	—
453	C₂×Dic₈₆	C₂⁴	1	4	yes	—
454	C₂×Dic₈₆	C₂⁴	1	4	yes	—
455	C₂×Dic₈₆	C₂⁴	1	8	yes	—
456	C₄⋊C₄×C₄₃	C₂⁴	1	4	yes	—
457	C₄⋊C₄×C₄₃	C₂⁴	1	4	yes	—
458	C₄⋊C₄×C₄₃	C₂⁴	1	8	yes	—
459	C₂²⋊C₄×C₄₃	C₂⁴	1	8	yes	—
460	C₂²⋊C₄×C₄₃	C₂⁴	1	4	yes	—
461	C₂²⋊C₄×C₄₃	C₂⁴	1	8	yes	—
462	C₂²⋊C₄×C₄₃	C₂⁴	1	4	yes	—
463	C₄²×C₄₃	C₂⁴	1	4	yes	—
464	C₄²×C₄₃	C₂⁴	1	8	yes	—
465	C₂²⋊Dic₄₃	C₂⁴	1	8	yes	—
466	C₂²⋊Dic₄₃	C₂⁴	1	8	yes	—
467	C₂²⋊Dic₄₃	C₂⁴	1	4	yes	—
468	C₂²⋊Dic₄₃	C₂⁴	1	4	yes	—
469	C₂²⋊Dic₄₃	C₂⁴	1	4	yes	—
470	C₂²⋊Dic₄₃	C₂⁴	1	4	yes	—
471	C₂²⋊Dic₄₃	C₂⁴	1	8	yes	—
472	C₂²⋊Dic₄₃	C₂⁴	1	8	yes	—
473	C₂²⋊Dic₄₃	C₂⁴	1	8	yes	—
474	C₂²⋊Dic₄₃	C₂⁴	1	8	yes	—
475	C₂²⋊Dic₄₃	C₂⁴	1	8	yes	—
476	C₂²⋊Dic₄₃	C₂⁴	1	8	yes	—
477	C₂²⋊Dic₄₃	C₂⁴	1	8	yes	—
478	(C₂×D₄₃)⋊C₄	C₂⁴	1	4	yes	—
479	(C₂×D₄₃)⋊C₄	C₂⁴	1	8	yes	—
480	(C₂×D₄₃)⋊C₄	C₂⁴	1	4	yes	—
481	(C₂×D₄₃)⋊C₄	C₂⁴	1	8	yes	—
482	(C₂×D₄₃)⋊C₄	C₂⁴	1	8	yes	—
483	(C₂×D₄₃)⋊C₄	C₂⁴	1	8	yes	—
484	(C₂×D₄₃)⋊C₄	C₂⁴	1	4	yes	—
485	(C₂×D₄₃)⋊C₄	C₂⁴	1	4	yes	—
486	(C₂×D₄₃)⋊C₄	C₂⁴	1	8	yes	—
487	(C₂×D₄₃)⋊C₄	C₂⁴	1	8	yes	—
488	(C₂×D₄₃)⋊C₄	C₂⁴	1	8	yes	—
489	(C₂×D₄₃)⋊C₄	C₂⁴	1	8	yes	—
490	C₄⋊Dic₄₃	C₂⁴	1	4	yes	—
491	C₄⋊Dic₄₃	C₂⁴	1	4	yes	—
492	C₄⋊Dic₄₃	C₂⁴	1	4	yes	—
493	C₄⋊Dic₄₃	C₂⁴	1	4	yes	—
494	C₄⋊Dic₄₃	C₂⁴	1	8	yes	—
495	C₄⋊Dic₄₃	C₂⁴	1	8	yes	—
496	Dic₄₃⋊C₄	C₂⁴	1	4	yes	—
497	Dic₄₃⋊C₄	C₂⁴	1	8	yes	—
498	Dic₄₃⋊C₄	C₂⁴	1	8	yes	—
499	Dic₄₃⋊C₄	C₂⁴	1	8	yes	—
500	Dic₄₃⋊C₄	C₂⁴	1	8	yes	—
501	Dic₄₃⋊C₄	C₂⁴	1	4	yes	—
502	Dic₄₃⋊C₄	C₂⁴	1	4	yes	—
503	Dic₄₃⋊C₄	C₂⁴	1	4	yes	—
504	Dic₄₃⋊C₄	C₂⁴	1	8	yes	—
505	Dic₄₃⋊C₄	C₂⁴	1	4	yes	—
506	Dic₄₃⋊C₄	C₂⁴	1	8	yes	—
507	Dic₄₃⋊C₄	C₂⁴	1	8	yes	—
508	Dic₄₃⋊C₄	C₂⁴	1	8	yes	—
509	Dic₄₃⋊C₄	C₂⁴	1	4	yes	—
510	Dic₄₃⋊C₄	C₂⁴	1	8	yes	—
511	C₄×Dic₄₃	C₂⁴	1	4	yes	—
512	C₄×Dic₄₃	C₂⁴	1	4	yes	—
513	C₄×Dic₄₃	C₂⁴	1	4	yes	—
514	C₄×Dic₄₃	C₂⁴	1	4	yes	—
515	C₄×Dic₄₃	C₂⁴	1	8	yes	—
516	C₄×Dic₄₃	C₂⁴	1	4	yes	—
517	C₄×Dic₄₃	C₂⁴	1	8	yes	—
518	C₂³×C₄₃	—	2	2	no	—
519	C₂³×C₄₃	—	2	4	no	—
520	C₂³×C₄₃	—	2	2	no	—
521	C₂³×C₄₃	—	2	4	no	—
522	C₂³×C₄₃	—	2	4	no	—
523	C₂³×C₄₃	—	2	2	no	—
524	C₂³×C₄₃	—	2	2	no	—
525	C₂³×C₄₃	—	2	4	no	—
526	C₂³×C₄₃	—	2	2	no	—
527	C₂³×C₄₃	—	2	2	no	—
528	C₂³×C₄₃	—	2	4	no	—
529	C₂³×C₄₃	—	2	4	no	—
530	C₂³×C₄₃	C₂⁵	1	4	yes	—
531	C₂³×C₄₃	C₂⁵	1	2	yes	—
532	C₂³×C₄₃	C₂⁵	1	4	yes	—
533	C₂³×C₄₃	C₂⁵	1	2	yes	—
534	C₂³×C₄₃	C₂⁵	1	1	yes	characteristic
535	C₂²×D₄₃	—	2	2	no	—
536	C₂²×D₄₃	—	2	4	no	—
537	C₂²×D₄₃	—	2	4	no	—
538	C₂²×D₄₃	—	2	4	no	—
539	C₂²×D₄₃	—	2	2	no	—
540	C₂²×D₄₃	—	2	2	no	—
541	C₂²×D₄₃	—	4	8	no	—
542	C₂²×D₄₃	—	4	8	no	—
543	C₂²×D₄₃	—	4	8	no	—
544	C₂²×D₄₃	—	8	16	no	—
545	C₂²×D₄₃	C₂⁵	1	2	yes	—
546	C₂²×D₄₃	C₂⁵	1	4	yes	—
547	Q₈×C₄₃	—	2	8	no	—
548	D₄×C₄₃	—	2	8	no	—
549	D₄×C₄₃	—	2	8	no	—
550	D₄×C₄₃	—	4	8	no	—
551	D₄×C₄₃	—	4	8	no	—
552	D₄×C₄₃	—	4	8	no	—
553	D₄×C₄₃	—	4	8	no	—
554	D₄×C₄₃	—	4	4	no	—
555	D₄×C₄₃	—	4	8	no	—
556	D₄×C₄₃	—	4	8	no	—
557	C₂×C₄×C₄₃	—	2	2	no	—
558	C₂×C₄×C₄₃	—	2	2	no	—
559	C₂×C₄×C₄₃	—	2	4	no	—
560	C₂×C₄×C₄₃	—	2	2	no	—
561	C₂×C₄×C₄₃	—	2	4	no	—
562	C₂×C₄×C₄₃	—	2	2	no	—
563	C₂×C₄×C₄₃	—	2	8	no	—
564	C₂×C₄×C₄₃	—	2	8	no	—
565	C₂×C₄×C₄₃	—	4	8	no	—
566	C₂×C₄×C₄₃	—	4	8	no	—
567	C₂×C₄×C₄₃	H(5,𝔽₂)	1	4	yes	—
568	C₂×C₄×C₄₃	C₂⁵	1	2	yes	—
569	C₂×C₄×C₄₃	C₂⁵	1	2	yes	—
570	C₂×C₄×C₄₃	C₂⁵	1	4	yes	—
571	C₂×C₄×C₄₃	C₂⁵	1	2	yes	—
572	C₂×C₄×C₄₃	C₂⁵	1	4	yes	—
573	C₂×C₄×C₄₃	C₂⁵	1	2	yes	—
574	C₂×C₄×C₄₃	C₂⁵	1	2	yes	—
575	C₂²⋊D₄₃	—	4	8	no	—
576	C₂²⋊D₄₃	—	4	8	no	—
577	C₂²⋊D₄₃	—	4	8	no	—
578	C₂²⋊D₄₃	—	4	4	no	—
579	C₂²⋊D₄₃	—	4	4	no	—
580	C₂²⋊D₄₃	—	4	8	no	—
581	C₂²⋊D₄₃	—	4	8	no	—
582	C₂²⋊D₄₃	—	4	8	no	—
583	C₂×Dic₄₃	—	2	4	no	—
584	C₂×Dic₄₃	—	2	4	no	—
585	C₂×Dic₄₃	—	2	2	no	—
586	C₂×Dic₄₃	—	2	2	no	—
587	C₂×Dic₄₃	—	2	2	no	—
588	C₂×Dic₄₃	—	2	2	no	—
589	C₂×Dic₄₃	—	2	2	no	—
590	C₂×Dic₄₃	—	2	4	no	—
591	C₂×Dic₄₃	—	2	2	no	—
592	C₂×Dic₄₃	—	2	2	no	—
593	C₂×Dic₄₃	—	4	8	no	—
594	C₂×Dic₄₃	—	4	8	no	—
595	C₂×Dic₄₃	—	4	4	no	—
596	C₂×Dic₄₃	—	4	8	no	—
597	C₂×Dic₄₃	—	4	4	no	—
598	C₂×Dic₄₃	—	4	8	no	—
599	C₂×Dic₄₃	C₂⁵	1	2	yes	—
600	C₂×Dic₄₃	C₂⁵	1	2	yes	—
601	C₂×Dic₄₃	C₂⁵	1	2	yes	—
602	C₂×Dic₄₃	C₂⁵	1	2	yes	—
603	C₂×Dic₄₃	C₂⁵	1	2	yes	—
604	C₂×Dic₄₃	C₂⁵	1	4	yes	—
605	C₂×Dic₄₃	C₂⁵	1	4	yes	—
606	C₂×Dic₄₃	C₂⁵	1	2	yes	—
607	C₂×Dic₄₃	C₂⁵	1	4	yes	—
608	C₂×Dic₄₃	C₂⁵	1	2	yes	—
609	D₁₇₂	—	2	8	no	—
610	C₄×D₄₃	—	2	8	no	—
611	C₄×D₄₃	—	4	8	no	—
612	C₄×D₄₃	—	4	8	no	—
613	Dic₈₆	—	2	8	no	—
614	Dic₈₆	—	2	8	no	—
615	Dic₈₆	—	4	8	no	—
616	Dic₈₆	—	4	4	no	—
617	C₂×#3562	—	43	1	no	maximal, Sylow
618	C₂²×C₄₃	—	2	4	no	—
619	C₂²×C₄₃	—	2	2	no	—
620	C₂²×C₄₃	—	2	4	no	—
621	C₂²×C₄₃	—	2	2	no	—
622	C₂²×C₄₃	—	2	4	no	—
623	C₂²×C₄₃	—	2	4	no	—
624	C₂²×C₄₃	—	2	4	no	—
625	C₂²×C₄₃	—	2	2	no	—
626	C₂²×C₄₃	—	2	2	no	—
627	C₂²×C₄₃	—	2	2	no	—
628	C₂²×C₄₃	—	2	2	no	—
629	C₂²×C₄₃	—	2	4	no	—
630	C₂²×C₄₃	—	4	8	no	—
631	C₂²×C₄₃	—	4	4	no	—
632	C₂²×C₄₃	—	4	8	no	—
633	C₂²×C₄₃	—	4	4	no	—
634	C₂²×C₄₃	C₂×H(5,𝔽₂)	1	2	yes	—
635	C₂²×C₄₃	#585	1	2	yes	—
636	C₂²×C₄₃	#585	1	2	yes	—
637	C₂²×C₄₃	C₂⁶	1	1	yes	characteristic
638	C₂×D₄₃	—	2	2	no	—
639	C₂×D₄₃	—	2	4	no	—
640	C₂×D₄₃	—	2	2	no	—
641	C₂×D₄₃	—	2	2	no	—
642	C₂×D₄₃	—	2	4	no	—
643	C₂×D₄₃	—	2	4	no	—
644	C₂×D₄₃	—	4	8	no	—
645	C₂×D₄₃	—	4	4	no	—
646	C₂×D₄₃	—	8	16	no	—
647	C₄×C₄₃	—	2	2	no	—
648	C₄×C₄₃	—	2	2	no	—
649	C₄×C₄₃	—	2	4	no	—
650	C₄×C₄₃	—	2	2	no	—
651	C₄×C₄₃	—	2	4	no	—
652	C₄×C₄₃	—	2	2	no	—
653	C₄×C₄₃	C₂×H(5,𝔽₂)	1	4	yes	—
654	Dic₄₃	—	2	4	no	—
655	Dic₄₃	—	2	4	no	—
656	Dic₄₃	—	2	2	no	—
657	Dic₄₃	—	2	2	no	—
658	Dic₄₃	—	2	2	no	—
659	Dic₄₃	—	2	2	no	—
660	Dic₄₃	—	2	4	no	—
661	Dic₄₃	—	2	2	no	—
662	Dic₄₃	—	2	2	no	—
663	Dic₄₃	—	2	2	no	—
664	#3562	—	43	32	no	—
665	C₂×#562	—	43	2	no	—
666	C₂×#560	—	43	2	no	—
667	C₂×#559	—	43	1	no	—
668	C₂×#556	—	43	1	no	—
669	C₂×#553	—	43	2	no	—
670	C₂×#551	—	43	2	no	—
671	C₂×#550	D₄₃	1	1	yes	characteristic, complemented
672	C₂×#548	—	43	1	no	—
673	C₂×#548	—	43	1	no	—
674	C₂×#547	—	43	1	no	—
675	C₂×#546	—	43	1	no	—
676	C₂×#546	—	43	1	no	—
677	C₂×#541	—	43	1	no	—
678	C₂×#540	—	43	2	no	—
679	C₂×#540	—	43	1	no	—
680	C₂×#539	—	43	2	no	—
681	C₂×#538	—	43	2	no	—
682	C₂×#538	—	43	2	no	—
683	C₂×#536	—	43	1	no	—
684	C₂×#535	—	43	1	no	—
685	C₂×#532	—	43	1	no	—
686	C₂×#529	—	43	1	no	—
687	C₂×#529	—	43	1	no	—
688	C₂×C₄₃	—	4	4	no	—
689	C₂×C₄₃	—	4	2	no	—
690	C₂×C₄₃	—	4	4	no	—
691	C₂×C₄₃	—	4	2	no	—
692	C₂×C₄₃	#3562	1	4	yes	complemented
693	C₂×C₄₃	C₂²×H(5,𝔽₂)	1	1	yes	characteristic
694	C₂×C₄₃	C₂×#585	1	1	yes	characteristic
695	C₂×C₄₃	C₂×#585	1	1	yes	characteristic
696	D₄₃	—	4	4	no	—
697	D₄₃	—	4	2	no	—
698	C₂²×#41	—	43	1	no	—
699	C₂²×#41	—	43	1	no	—
700	C₂²×#41	C₂×D₄₃	1	1	yes	characteristic
701	C₂²×#41	C₂×D₄₃	1	1	yes	characteristic, complemented
702	C₂³×Q₈	—	43	1	no	—
703	C₂³×D₄	—	43	1	no	—
704	#562	—	43	32	no	—
705	#560	—	43	32	no	—
706	#559	—	43	16	no	—
707	#556	—	43	16	no	—
708	#553	—	43	32	no	—
709	#551	—	43	32	no	—
710	#550	C₂×D₄₃	1	16	yes	complemented
711	#548	—	43	16	no	—
712	#548	—	43	16	no	—
713	#547	—	43	16	no	—
714	#546	—	43	16	no	—
715	#546	—	43	16	no	—
716	#541	—	43	16	no	—
717	#540	—	43	32	no	—
718	#540	—	43	16	no	—
719	#539	—	43	32	no	—
720	#538	—	43	32	no	—
721	#538	—	43	32	no	—
722	#536	—	43	16	no	—
723	#535	—	43	16	no	—
724	#532	—	43	16	no	—
725	C₂×C₄⋊Q₈	—	43	1	no	—
726	C₂×C₄⋊Q₈	—	43	1	no	—
727	C₂×#127	—	43	1	no	—
728	C₂×#127	C₂×D₄₃	1	1	yes	characteristic
729	C₂×#127	C₂×D₄₃	1	2	yes	complemented
730	#529	—	43	16	no	—
731	#529	—	43	16	no	—
732	C₂×#126	—	43	1	no	—
733	C₂×#126	—	43	2	no	—
734	C₂×#126	—	43	2	no	—
735	C₂×#126	—	43	2	no	—
736	C₂×#126	—	43	1	no	—
737	C₂×#126	—	43	2	no	—
738	C₂×#126	—	43	2	no	—
739	C₂×#125	—	43	1	no	—
740	C₂×#125	—	43	1	no	—
741	C₂×#125	—	43	2	no	—
742	C₂×#125	—	43	2	no	—
743	C₂×#124	—	43	1	no	—
744	C₂×#124	—	43	1	no	—
745	C₂×#124	—	43	1	no	—
746	C₂×#124	—	43	1	no	—
747	C₂×#124	—	43	2	no	—
748	C₂×#124	—	43	1	no	—
749	C₂×#124	—	43	2	no	—
750	C₂×#124	—	43	2	no	—
751	C₂×#124	—	43	1	no	—
752	C₂×#123	—	43	1	no	—
753	C₂×#123	—	43	2	no	—
754	C₂×#123	—	43	2	no	—
755	C₂×#123	—	43	2	no	—
756	C₂×#123	—	43	2	no	—
757	C₂×#123	—	43	2	no	—
758	C₂×#123	—	43	2	no	—
759	C₂×#123	—	43	2	no	—
760	C₂×#123	—	43	2	no	—
761	C₂×#123	—	43	2	no	—
762	C₂×#123	—	43	2	no	—
763	C₂×#123	—	43	1	no	—
764	C₂×#123	—	43	2	no	—
765	C₂×C₂²⋊Q₈	—	43	1	no	—
766	C₂×C₂²⋊Q₈	—	43	1	no	—
767	C₂×C₂²⋊Q₈	—	43	2	no	—
768	C₂×C₂²⋊Q₈	—	43	2	no	—
769	C₂×C₂²⋊Q₈	—	43	2	no	—
770	C₂×C₂²⋊Q₈	—	43	2	no	—
771	C₂×C₂²⋊Q₈	—	43	1	no	—
772	C₂×C₂²⋊Q₈	—	43	1	no	—
773	C₂×C₂²⋊Q₈	—	43	2	no	—
774	C₂×#121	—	43	2	no	—
775	C₂×#121	—	43	2	no	—
776	C₂×#121	—	43	1	no	—
777	C₂×#121	—	43	2	no	—
778	C₂×#121	—	43	2	no	—
779	C₂×#121	—	43	2	no	—
780	C₂×#121	—	43	2	no	—
781	C₂×#121	—	43	2	no	—
782	C₂×#121	—	43	2	no	—
783	C₂×#121	—	43	2	no	—
784	C₂×#121	—	43	2	no	—
785	C₂×#121	—	43	2	no	—
786	C₂×#121	—	43	1	no	—
787	C₂×#121	C₂×D₄₃	1	1	yes	characteristic
788	C₂×#121	C₂×D₄₃	1	2	yes	complemented
789	C₂×#121	C₂×D₄₃	1	2	yes	complemented
790	C₂×#121	C₂×D₄₃	1	1	yes	characteristic, complemented
791	C₂×#120	—	43	2	no	—
792	C₂×#120	—	43	2	no	—
793	C₂×#120	—	43	2	no	—
794	C₂×#120	—	43	2	no	—
795	C₂×C₄×Q₈	—	43	1	no	—
796	C₂×C₄×Q₈	—	43	1	no	—
797	C₂×C₄×Q₈	—	43	1	no	—
798	C₂×C₄×Q₈	C₂×D₄₃	1	1	yes	characteristic, complemented
799	C₂×C₄×D₄	—	43	1	no	—
800	C₂×C₄×D₄	—	43	2	no	—
801	C₂×C₄×D₄	—	43	2	no	—
802	C₂×C₄×D₄	—	43	1	no	—
803	C₂×C₄×D₄	—	43	2	no	—
804	C₂×C₄×D₄	—	43	1	no	—
805	C₂×C₄×D₄	—	43	1	no	—
806	C₂×C₄×D₄	—	43	2	no	—
807	C₂×C₄×D₄	—	43	2	no	—
808	C₂×C₄×D₄	—	43	1	no	—
809	C₂×C₄×D₄	—	43	2	no	—
810	C₂×C₄×D₄	C₂×D₄₃	1	1	yes	characteristic, complemented
811	C₂×C₄×D₄	C₂×D₄₃	1	2	yes	complemented
812	C₂×#117	—	43	1	no	—
813	C₂×#117	—	43	2	no	—
814	C₂×#117	—	43	1	no	—
815	C₂×#117	—	43	2	no	—
816	C₂²×C₄⋊C₄	—	43	2	no	—
817	C₂²×C₂²⋊C₄	—	43	2	no	—
818	C₂²×C₂²⋊C₄	—	43	2	no	—
819	C₂²×C₄²	—	43	1	no	—
820	C₄₃	C₂×#3562	1	1	yes	characteristic, complemented, Sylow
821	C₂⁵	—	43	2	no	—
822	C₂×#41	—	4	4	no	—
823	C₂×#41	—	4	4	no	—
824	C₂×#41	—	43	8	no	—
825	C₂×#41	—	43	8	no	—
826	C₂×#41	—	172	4	no	—
827	C₂×#41	—	172	4	no	—
828	C₂×#41	C₂²×D₄₃	1	8	yes	—
829	C₂×#41	C₂²×D₄₃	1	8	yes	complemented
830	C₂²×Q₈	—	43	1	no	—
831	C₂²×Q₈	—	43	1	no	—
832	C₂²×Q₈	—	43	1	no	—
833	C₂²×Q₈	—	43	2	no	—
834	C₂²×Q₈	—	43	8	no	—
835	C₂²×Q₈	—	172	4	no	—
836	C₂²×Q₈	C₂²×D₄₃	1	1	yes	characteristic
837	C₂²×D₄	—	43	1	no	—
838	C₂²×D₄	—	43	1	no	—
839	C₂²×D₄	—	43	2	no	—
840	C₂²×D₄	—	43	2	no	—
841	C₂²×D₄	—	43	2	no	—
842	C₂²×D₄	—	43	2	no	—
843	C₂²×D₄	—	43	2	no	—
844	C₂²×D₄	—	43	2	no	—
845	C₂²×D₄	—	43	8	no	—
846	C₂²×D₄	—	43	1	no	—
847	C₂²×D₄	—	172	4	no	—
848	C₂²×D₄	C₂²×D₄₃	1	1	yes	characteristic
849	C₂²×D₄	C₂²×D₄₃	1	1	yes	characteristic
850	C₂²×D₄	C₂²×D₄₃	1	2	yes	—
851	C₂²×D₄	C₂²×D₄₃	1	2	yes	—
852	C₂²×D₄	C₂²×D₄₃	1	2	yes	—
853	C₂²×D₄	C₂²×D₄₃	1	2	yes	—
854	C₂²×D₄	C₂²×D₄₃	1	1	yes	characteristic
855	C₂²×D₄	C₂²×D₄₃	1	2	yes	—
856	C₂²×D₄	C₂²×D₄₃	1	2	yes	—
857	C₂³×C₄	—	43	2	no	—
858	C₂³×C₄	—	43	2	no	—
859	C₂³×C₄	—	43	2	no	—
860	C₂³×C₄	—	43	2	no	—
861	C₂³×C₄	—	43	1	no	—
862	C₂³×C₄	—	43	1	no	—
863	C₂³×C₄	—	43	1	no	—
864	C₂³×C₄	—	43	2	no	—
865	C₂³×C₄	—	43	2	no	—
866	C₂³×C₄	C₂²×D₄₃	1	1	yes	characteristic
867	C₂³×C₄	C₂²×D₄₃	1	1	yes	characteristic
868	C₂³×C₄	C₂²×D₄₃	1	2	yes	—
869	C₂³×C₄	C₂²×D₄₃	1	2	yes	—
870	C₄⋊Q₈	—	43	8	no	—
871	C₄⋊Q₈	—	43	8	no	—
872	#127	—	43	8	no	—
873	#127	C₂²×D₄₃	1	8	yes	—
874	#127	C₂²×D₄₃	1	16	yes	complemented
875	#126	—	43	8	no	—
876	#126	—	43	16	no	—
877	#126	—	43	16	no	—
878	#126	—	43	16	no	—
879	#126	—	43	8	no	—
880	#126	—	43	16	no	—
881	#126	—	43	16	no	—
882	#125	—	43	8	no	—
883	#125	—	43	8	no	—
884	#125	—	43	16	no	—
885	#125	—	43	16	no	—
886	#124	—	43	8	no	—
887	#124	—	43	8	no	—
888	#124	—	43	8	no	—
889	#124	—	43	8	no	—
890	#124	—	43	16	no	—
891	#124	—	43	8	no	—
892	#124	—	43	16	no	—
893	#124	—	43	16	no	—
894	#124	—	43	8	no	—
895	#123	—	43	8	no	—
896	#123	—	43	16	no	—
897	#123	—	43	16	no	—
898	#123	—	43	16	no	—
899	#123	—	43	16	no	—
900	#123	—	43	16	no	—
901	#123	—	43	16	no	—
902	#123	—	43	16	no	—
903	#123	—	43	16	no	—
904	#123	—	43	8	no	—
905	#123	—	43	16	no	—
906	#123	—	43	16	no	—
907	#123	—	43	16	no	—
908	C₂²⋊Q₈	—	43	8	no	—
909	C₂²⋊Q₈	—	43	8	no	—
910	C₂²⋊Q₈	—	43	16	no	—
911	C₂²⋊Q₈	—	43	16	no	—
912	C₂²⋊Q₈	—	43	16	no	—
913	C₂²⋊Q₈	—	43	16	no	—
914	C₂²⋊Q₈	—	43	8	no	—
915	C₂²⋊Q₈	—	43	8	no	—
916	C₂²⋊Q₈	—	43	16	no	—
917	#121	—	43	8	no	—
918	#121	—	43	16	no	—
919	#121	—	43	16	no	—
920	#121	—	43	16	no	—
921	#121	—	43	16	no	—
922	#121	—	43	16	no	—
923	#121	—	43	16	no	—
924	#121	—	43	16	no	—
925	#121	—	43	16	no	—
926	#121	—	43	16	no	—
927	#121	—	43	16	no	—
928	#121	—	43	16	no	—
929	#121	—	43	8	no	—
930	#121	C₂²×D₄₃	1	8	yes	—
931	#121	C₂²×D₄₃	1	16	yes	complemented
932	#121	C₂²×D₄₃	1	16	yes	complemented
933	#121	C₂²×D₄₃	1	8	yes	complemented
934	#120	—	43	16	no	—
935	#120	—	43	16	no	—
936	#120	—	43	16	no	—
937	#120	—	43	16	no	—
938	C₄×Q₈	—	43	8	no	—
939	C₄×Q₈	—	43	8	no	—
940	C₄×Q₈	—	43	8	no	—
941	C₄×Q₈	C₂²×D₄₃	1	8	yes	complemented
942	C₄×D₄	—	43	16	no	—
943	C₄×D₄	—	43	8	no	—
944	C₄×D₄	—	43	16	no	—
945	C₄×D₄	—	43	8	no	—
946	C₄×D₄	—	43	16	no	—
947	C₄×D₄	—	43	8	no	—
948	C₄×D₄	—	43	8	no	—
949	C₄×D₄	—	43	16	no	—
950	C₄×D₄	—	43	16	no	—
951	C₄×D₄	—	43	8	no	—
952	C₄×D₄	—	43	16	no	—
953	C₄×D₄	C₂²×D₄₃	1	8	yes	complemented
954	C₄×D₄	C₂²×D₄₃	1	16	yes	complemented
955	#117	—	43	8	no	—
956	#117	—	43	16	no	—
957	#117	—	43	8	no	—
958	#117	—	43	16	no	—
959	C₂×C₄⋊C₄	—	43	1	no	—
960	C₂×C₄⋊C₄	—	43	2	no	—
961	C₂×C₄⋊C₄	—	43	2	no	—
962	C₂×C₄⋊C₄	—	43	2	no	—
963	C₂×C₄⋊C₄	—	43	16	no	—
964	C₂×C₄⋊C₄	—	43	1	no	—
965	C₂×C₄⋊C₄	—	43	1	no	—
966	C₂×C₄⋊C₄	—	43	1	no	—
967	C₂×C₄⋊C₄	—	43	2	no	—
968	C₂×C₄⋊C₄	—	43	1	no	—
969	C₂×C₄⋊C₄	—	43	1	no	—
970	C₂×C₄⋊C₄	—	43	2	no	—
971	C₂×C₄⋊C₄	—	43	1	no	—
972	C₂×C₄⋊C₄	—	43	1	no	—
973	C₂×C₄⋊C₄	—	43	2	no	—
974	C₂×C₄⋊C₄	—	43	2	no	—
975	C₂×C₄⋊C₄	—	43	2	no	—
976	C₂×C₄⋊C₄	—	43	2	no	—
977	C₂×C₄⋊C₄	—	43	1	no	—
978	C₂×C₄⋊C₄	—	43	2	no	—
979	C₂×C₄⋊C₄	—	43	2	no	—
980	C₂×C₄⋊C₄	—	43	1	no	—
981	C₂×C₄⋊C₄	C₂²×D₄₃	1	1	yes	characteristic
982	C₂×C₄⋊C₄	C₂²×D₄₃	1	1	yes	characteristic
983	C₂×C₄⋊C₄	C₂²×D₄₃	1	2	yes	—
984	C₂×C₂²⋊C₄	—	43	2	no	—
985	C₂×C₂²⋊C₄	—	43	2	no	—
986	C₂×C₂²⋊C₄	—	43	1	no	—
987	C₂×C₂²⋊C₄	—	43	1	no	—
988	C₂×C₂²⋊C₄	—	43	1	no	—
989	C₂×C₂²⋊C₄	—	43	2	no	—
990	C₂×C₂²⋊C₄	—	43	2	no	—
991	C₂×C₂²⋊C₄	—	43	2	no	—
992	C₂×C₂²⋊C₄	—	43	2	no	—
993	C₂×C₂²⋊C₄	—	43	1	no	—
994	C₂×C₂²⋊C₄	—	43	2	no	—
995	C₂×C₂²⋊C₄	—	43	2	no	—
996	C₂×C₂²⋊C₄	—	43	2	no	—
997	C₂×C₂²⋊C₄	—	43	1	no	—
998	C₂×C₂²⋊C₄	—	43	1	no	—
999	C₂×C₂²⋊C₄	—	43	2	no	—
1000	C₂×C₂²⋊C₄	—	43	2	no	—
1001	C₂×C₂²⋊C₄	—	43	2	no	—
1002	C₂×C₂²⋊C₄	—	43	2	no	—
1003	C₂×C₂²⋊C₄	—	43	16	no	—
1004	C₂×C₂²⋊C₄	—	43	1	no	—
1005	C₂×C₂²⋊C₄	—	43	1	no	—
1006	C₂×C₂²⋊C₄	—	43	2	no	—
1007	C₂×C₂²⋊C₄	—	43	2	no	—
1008	C₂×C₂²⋊C₄	—	43	2	no	—
1009	C₂×C₂²⋊C₄	—	43	2	no	—
1010	C₂×C₂²⋊C₄	—	43	16	no	—
1011	C₂×C₂²⋊C₄	C₂²×D₄₃	1	2	yes	—
1012	C₂×C₂²⋊C₄	C₂²×D₄₃	1	1	yes	characteristic
1013	C₂×C₂²⋊C₄	C₂²×D₄₃	1	2	yes	—
1014	C₂×C₂²⋊C₄	C₂²×D₄₃	1	1	yes	characteristic
1015	C₂×C₄²	—	43	2	no	—
1016	C₂×C₄²	—	43	1	no	—
1017	C₂×C₄²	—	43	1	no	—
1018	C₂×C₄²	—	43	1	no	—
1019	C₂×C₄²	—	43	1	no	—
1020	C₂×C₄²	—	43	2	no	—
1021	C₂×C₄²	—	43	1	no	—
1022	C₂×C₄²	—	43	8	no	—
1023	C₂×C₄²	C₂²×D₄₃	1	1	yes	characteristic
1024	C₂×C₄²	C₂²×D₄₃	1	2	yes	—
1025	C₂⁴	—	43	1	no	—
1026	C₂⁴	—	43	2	no	—
1027	C₂⁴	—	43	8	no	—
1028	C₂⁴	—	172	4	no	—
1029	C₂⁴	—	172	4	no	—
1030	C₂⁴	—	172	4	no	—
1031	C₂⁴	C₂³×D₄₃	1	2	yes	—
1032	C₂⁴	C₂³×D₄₃	1	1	yes	characteristic
1033	C₂⁴	C₂³×D₄₃	1	1	yes	characteristic
1034	C₂⁴	C₂³×D₄₃	1	2	yes	—
1035	#41	—	4	16	no	—
1036	#41	—	4	16	no	—
1037	#41	—	172	16	no	—
1038	#41	—	172	16	no	—
1039	C₂×Q₈	—	2	4	no	—
1040	C₂×Q₈	—	43	4	no	—
1041	C₂×Q₈	—	43	4	no	—
1042	C₂×Q₈	—	43	4	no	—
1043	C₂×Q₈	—	43	8	no	—
1044	C₂×Q₈	—	86	4	no	—
1045	C₂×Q₈	—	86	4	no	—
1046	C₂×Q₈	—	172	4	no	—
1047	C₂×Q₈	—	172	2	no	—
1048	C₂×Q₈	—	172	16	no	—
1049	C₂×Q₈	C₂³×D₄₃	1	4	yes	—
1050	C₂×D₄	—	2	4	no	—
1051	C₂×D₄	—	2	4	no	—
1052	C₂×D₄	—	4	4	no	—
1053	C₂×D₄	—	4	4	no	—
1054	C₂×D₄	—	4	4	no	—
1055	C₂×D₄	—	4	4	no	—
1056	C₂×D₄	—	4	4	no	—
1057	C₂×D₄	—	4	4	no	—
1058	C₂×D₄	—	4	2	no	—
1059	C₂×D₄	—	43	4	no	—
1060	C₂×D₄	—	43	4	no	—
1061	C₂×D₄	—	43	8	no	—
1062	C₂×D₄	—	43	8	no	—
1063	C₂×D₄	—	43	8	no	—
1064	C₂×D₄	—	43	8	no	—
1065	C₂×D₄	—	43	8	no	—
1066	C₂×D₄	—	43	8	no	—
1067	C₂×D₄	—	43	4	no	—
1068	C₂×D₄	—	86	4	no	—
1069	C₂×D₄	—	172	16	no	—
1070	C₂×D₄	—	172	4	no	—
1071	C₂×D₄	—	172	4	no	—
1072	C₂×D₄	—	172	4	no	—
1073	C₂×D₄	—	172	4	no	—
1074	C₂×D₄	—	172	2	no	—
1075	C₂×D₄	—	172	2	no	—
1076	C₂×D₄	—	172	4	no	—
1077	C₂×D₄	—	172	4	no	—
1078	C₂×D₄	C₂³×D₄₃	1	4	yes	—
1079	C₂×D₄	C₂³×D₄₃	1	4	yes	—
1080	C₂×D₄	C₂³×D₄₃	1	8	yes	—
1081	C₂×D₄	C₂³×D₄₃	1	8	yes	—
1082	C₂×D₄	C₂³×D₄₃	1	8	yes	—
1083	C₂×D₄	C₂³×D₄₃	1	8	yes	—
1084	C₂×D₄	C₂³×D₄₃	1	4	yes	—
1085	C₂×D₄	C₂³×D₄₃	1	8	yes	—
1086	C₂×D₄	C₂³×D₄₃	1	8	yes	—
1087	C₂²×C₄	—	2	4	no	—
1088	C₂²×C₄	—	2	4	no	—
1089	C₂²×C₄	—	4	4	no	—
1090	C₂²×C₄	—	4	4	no	—
1091	C₂²×C₄	—	43	1	no	—
1092	C₂²×C₄	—	43	1	no	—
1093	C₂²×C₄	—	43	1	no	—
1094	C₂²×C₄	—	43	1	no	—
1095	C₂²×C₄	—	43	1	no	—
1096	C₂²×C₄	—	43	1	no	—
1097	C₂²×C₄	—	43	2	no	—
1098	C₂²×C₄	—	43	2	no	—
1099	C₂²×C₄	—	43	2	no	—
1100	C₂²×C₄	—	43	1	no	—
1101	C₂²×C₄	—	43	4	no	—
1102	C₂²×C₄	—	43	4	no	—
1103	C₂²×C₄	—	43	8	no	—
1104	C₂²×C₄	—	43	8	no	—
1105	C₂²×C₄	—	43	8	no	—
1106	C₂²×C₄	—	43	8	no	—
1107	C₂²×C₄	—	43	4	no	—
1108	C₂²×C₄	—	43	8	no	—
1109	C₂²×C₄	—	43	8	no	—
1110	C₂²×C₄	—	86	4	no	—
1111	C₂²×C₄	—	172	4	no	—
1112	C₂²×C₄	—	172	4	no	—
1113	C₂²×C₄	—	172	4	no	—
1114	C₂²×C₄	—	172	4	no	—
1115	C₂²×C₄	—	172	2	no	—
1116	C₂²×C₄	—	172	4	no	—
1117	C₂²×C₄	—	172	2	no	—
1118	C₂²×C₄	—	172	4	no	—
1119	C₂²×C₄	C₂³×D₄₃	1	4	yes	—
1120	C₂²×C₄	C₂³×D₄₃	1	4	yes	—
1121	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
1122	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
1123	C₂²×C₄	C₂³×D₄₃	1	2	yes	—
1124	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
1125	C₂²×C₄	C₂³×D₄₃	1	2	yes	—
1126	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
1127	C₂²×C₄	C₂³×D₄₃	1	8	yes	—
1128	C₂²×C₄	C₂³×D₄₃	1	8	yes	—
1129	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
1130	C₄⋊C₄	—	43	4	no	—
1131	C₄⋊C₄	—	43	8	no	—
1132	C₄⋊C₄	—	43	8	no	—
1133	C₄⋊C₄	—	43	8	no	—
1134	C₄⋊C₄	—	43	4	no	—
1135	C₄⋊C₄	—	43	4	no	—
1136	C₄⋊C₄	—	43	4	no	—
1137	C₄⋊C₄	—	43	8	no	—
1138	C₄⋊C₄	—	43	4	no	—
1139	C₄⋊C₄	—	43	4	no	—
1140	C₄⋊C₄	—	43	8	no	—
1141	C₄⋊C₄	—	43	4	no	—
1142	C₄⋊C₄	—	43	4	no	—
1143	C₄⋊C₄	—	43	8	no	—
1144	C₄⋊C₄	—	43	8	no	—
1145	C₄⋊C₄	—	43	8	no	—
1146	C₄⋊C₄	—	43	8	no	—
1147	C₄⋊C₄	—	43	4	no	—
1148	C₄⋊C₄	—	43	8	no	—
1149	C₄⋊C₄	—	43	8	no	—
1150	C₄⋊C₄	—	43	4	no	—
1151	C₄⋊C₄	C₂³×D₄₃	1	4	yes	—
1152	C₄⋊C₄	C₂³×D₄₃	1	4	yes	—
1153	C₄⋊C₄	C₂³×D₄₃	1	8	yes	—
1154	C₂²⋊C₄	—	43	8	no	—
1155	C₂²⋊C₄	—	43	8	no	—
1156	C₂²⋊C₄	—	43	4	no	—
1157	C₂²⋊C₄	—	43	4	no	—
1158	C₂²⋊C₄	—	43	4	no	—
1159	C₂²⋊C₄	—	43	8	no	—
1160	C₂²⋊C₄	—	43	8	no	—
1161	C₂²⋊C₄	—	43	8	no	—
1162	C₂²⋊C₄	—	43	8	no	—
1163	C₂²⋊C₄	—	43	4	no	—
1164	C₂²⋊C₄	—	43	8	no	—
1165	C₂²⋊C₄	—	43	8	no	—
1166	C₂²⋊C₄	—	43	8	no	—
1167	C₂²⋊C₄	—	43	4	no	—
1168	C₂²⋊C₄	—	43	4	no	—
1169	C₂²⋊C₄	—	43	8	no	—
1170	C₂²⋊C₄	—	43	8	no	—
1171	C₂²⋊C₄	—	43	8	no	—
1172	C₂²⋊C₄	—	43	8	no	—
1173	C₂²⋊C₄	—	43	4	no	—
1174	C₂²⋊C₄	—	43	4	no	—
1175	C₂²⋊C₄	—	43	8	no	—
1176	C₂²⋊C₄	—	43	8	no	—
1177	C₂²⋊C₄	—	43	8	no	—
1178	C₂²⋊C₄	—	43	8	no	—
1179	C₂²⋊C₄	C₂³×D₄₃	1	8	yes	—
1180	C₂²⋊C₄	C₂³×D₄₃	1	4	yes	—
1181	C₂²⋊C₄	C₂³×D₄₃	1	8	yes	—
1182	C₂²⋊C₄	C₂³×D₄₃	1	4	yes	—
1183	C₄²	—	43	4	no	—
1184	C₄²	—	43	4	no	—
1185	C₄²	—	43	4	no	—
1186	C₄²	—	43	4	no	—
1187	C₄²	—	43	8	no	—
1188	C₄²	—	43	4	no	—
1189	C₄²	—	43	8	no	—
1190	C₄²	C₂³×D₄₃	1	4	yes	—
1191	C₄²	C₂³×D₄₃	1	8	yes	—
1192	C₂³	—	2	2	no	—
1193	C₂³	—	2	2	no	—
1194	C₂³	—	2	4	no	—
1195	C₂³	—	2	4	no	—
1196	C₂³	—	2	2	no	—
1197	C₂³	—	2	2	no	—
1198	C₂³	—	2	4	no	—
1199	C₂³	—	2	4	no	—
1200	C₂³	—	2	2	no	—
1201	C₂³	—	2	4	no	—
1202	C₂³	—	2	4	no	—
1203	C₂³	—	2	2	no	—
1204	C₂³	—	43	2	no	—
1205	C₂³	—	43	4	no	—
1206	C₂³	—	86	2	no	—
1207	C₂³	—	86	4	no	—
1208	C₂³	—	86	4	no	—
1209	C₂³	—	86	2	no	—
1210	C₂³	—	86	4	no	—
1211	C₂³	—	86	2	no	—
1212	C₂³	—	344	16	no	—
1213	C₂³	—	172	8	no	—
1214	C₂³	—	172	8	no	—
1215	C₂³	—	172	8	no	—
1216	C₂³	C₂⁴×D₄₃	1	4	yes	—
1217	C₂³	C₂⁴×D₄₃	1	2	yes	—
1218	C₂³	C₂⁴×D₄₃	1	2	yes	—
1219	C₂³	C₂⁴×D₄₃	1	4	yes	—
1220	C₂³	C₂⁴×D₄₃	1	1	yes	characteristic
1221	Q₈	—	2	8	no	—
1222	Q₈	—	86	8	no	—
1223	Q₈	—	86	8	no	—
1224	Q₈	—	172	8	no	—
1225	Q₈	—	172	4	no	—
1226	D₄	—	2	8	no	—
1227	D₄	—	2	8	no	—
1228	D₄	—	4	8	no	—
1229	D₄	—	4	8	no	—
1230	D₄	—	4	8	no	—
1231	D₄	—	4	8	no	—
1232	D₄	—	4	8	no	—
1233	D₄	—	4	8	no	—
1234	D₄	—	4	4	no	—
1235	D₄	—	86	8	no	—
1236	D₄	—	172	8	no	—
1237	D₄	—	172	8	no	—
1238	D₄	—	172	8	no	—
1239	D₄	—	172	8	no	—
1240	D₄	—	172	4	no	—
1241	D₄	—	172	4	no	—
1242	D₄	—	172	8	no	—
1243	D₄	—	172	8	no	—
1244	C₂×C₄	—	2	2	no	—
1245	C₂×C₄	—	2	2	no	—
1246	C₂×C₄	—	2	4	no	—
1247	C₂×C₄	—	2	4	no	—
1248	C₂×C₄	—	2	2	no	—
1249	C₂×C₄	—	2	2	no	—
1250	C₂×C₄	—	2	8	no	—
1251	C₂×C₄	—	2	8	no	—
1252	C₂×C₄	—	4	8	no	—
1253	C₂×C₄	—	4	8	no	—
1254	C₂×C₄	—	43	2	no	—
1255	C₂×C₄	—	43	2	no	—
1256	C₂×C₄	—	43	2	no	—
1257	C₂×C₄	—	43	2	no	—
1258	C₂×C₄	—	43	2	no	—
1259	C₂×C₄	—	43	2	no	—
1260	C₂×C₄	—	43	4	no	—
1261	C₂×C₄	—	43	4	no	—
1262	C₂×C₄	—	43	4	no	—
1263	C₂×C₄	—	43	2	no	—
1264	C₂×C₄	—	86	2	no	—
1265	C₂×C₄	—	86	4	no	—
1266	C₂×C₄	—	86	4	no	—
1267	C₂×C₄	—	86	2	no	—
1268	C₂×C₄	—	86	2	no	—
1269	C₂×C₄	—	86	2	no	—
1270	C₂×C₄	—	86	2	no	—
1271	C₂×C₄	—	86	2	no	—
1272	C₂×C₄	—	86	4	no	—
1273	C₂×C₄	—	86	2	no	—
1274	C₂×C₄	—	86	8	no	—
1275	C₂×C₄	—	172	8	no	—
1276	C₂×C₄	—	172	8	no	—
1277	C₂×C₄	—	172	8	no	—
1278	C₂×C₄	—	172	8	no	—
1279	C₂×C₄	—	172	4	no	—
1280	C₂×C₄	—	172	8	no	—
1281	C₂×C₄	—	172	4	no	—
1282	C₂×C₄	—	172	8	no	—
1283	C₂×C₄	#13063370	1	4	yes	—
1284	C₂×C₄	C₂⁴×D₄₃	1	2	yes	—
1285	C₂×C₄	C₂⁴×D₄₃	1	2	yes	—
1286	C₂×C₄	C₂⁴×D₄₃	1	4	yes	—
1287	C₂×C₄	C₂⁴×D₄₃	1	2	yes	—
1288	C₂×C₄	C₂⁴×D₄₃	1	4	yes	—
1289	C₂×C₄	C₂⁴×D₄₃	1	2	yes	—
1290	C₂×C₄	C₂⁴×D₄₃	1	2	yes	—
1291	C₂²	—	2	2	no	—
1292	C₂²	—	2	2	no	—
1293	C₂²	—	2	4	no	—
1294	C₂²	—	2	4	no	—
1295	C₂²	—	2	2	no	—
1296	C₂²	—	2	2	no	—
1297	C₂²	—	2	4	no	—
1298	C₂²	—	2	4	no	—
1299	C₂²	—	2	2	no	—
1300	C₂²	—	2	4	no	—
1301	C₂²	—	2	4	no	—
1302	C₂²	—	2	2	no	—
1303	C₂²	—	4	8	no	—
1304	C₂²	—	4	4	no	—
1305	C₂²	—	4	4	no	—
1306	C₂²	—	4	8	no	—
1307	C₂²	—	86	2	no	—
1308	C₂²	—	86	4	no	—
1309	C₂²	—	86	4	no	—
1310	C₂²	—	86	2	no	—
1311	C₂²	—	86	4	no	—
1312	C₂²	—	86	2	no	—
1313	C₂²	—	344	16	no	—
1314	C₂²	—	172	4	no	—
1315	C₂²	—	172	8	no	—
1316	C₂²	C₂×#13063370	1	2	yes	—
1317	C₂²	#14583734	1	2	yes	—
1318	C₂²	#14583735	1	2	yes	—
1319	C₂²	C₂⁵×D₄₃	1	1	yes	characteristic
1320	C₄	—	2	2	no	—
1321	C₄	—	2	2	no	—
1322	C₄	—	2	4	no	—
1323	C₄	—	2	4	no	—
1324	C₄	—	2	2	no	—
1325	C₄	—	2	2	no	—
1326	C₄	—	86	2	no	—
1327	C₄	—	86	4	no	—
1328	C₄	—	86	4	no	—
1329	C₄	—	86	2	no	—
1330	C₄	—	86	2	no	—
1331	C₄	—	86	2	no	—
1332	C₄	—	86	2	no	—
1333	C₄	—	86	2	no	—
1334	C₄	—	86	4	no	—
1335	C₄	—	86	2	no	—
1336	C₄	C₂×#13063370	1	4	yes	—
1337	C₂	—	4	4	no	—
1338	C₂	—	4	2	no	—
1339	C₂	—	4	2	no	—
1340	C₂	—	4	4	no	—
1341	C₂	—	172	2	no	—
1342	C₂	—	172	4	no	—
1343	C₂	#19149169	1	4	yes	direct product factor
1344	C₂	C₂²×#13063370	1	1	yes	characteristic
1345	C₂	C₂×#14583734	1	1	yes	characteristic
1346	C₂	C₂×#14583735	1	1	yes	characteristic

	subgroup	G/H
center	C₂³	C₂⁴×D₄₃
commutator, cosocle	C₂²×C₄₃	C₂⁶
Frattini	C₂²	C₂⁵×D₄₃
Fitting	C₂×C₄₃×#550	C₂
socle	C₂³×C₄₃	C₂⁵
hypercenter	C₂×#550	D₄₃
hypocenter	C₄₃	C₂×#3562
LCS	G ▷ C₂²×C₄₃ ▷ C₄₃
UCS	C₁ ◁ C₂³ ◁ C₂×#550

Complements

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

N	H ≅ G/N	type
1. #19149169	C₂	direct (N × H)
2. C₂×#14583644	C₂	semidirect
3. C₂×#14583636	C₂	semidirect
4. C₂×#14583635	C₂	semidirect
5. C₂×#14583621	C₂	semidirect
6. C₂×#14583592	C₂	semidirect
7. C₂×#14583578	C₂	semidirect
8. C₂×#14583558	C₂	semidirect
9. C₂×#14583555	C₂	semidirect
10. C₂×#14583548	C₂	semidirect
11. C₂×#14583546	C₂	semidirect
12. C₂×#14583537	C₂	semidirect
13. C₂×#14583507	C₂	semidirect
14. C₂×#14583503	C₂	semidirect
15. C₂×#14583502	C₂	semidirect
16. C₂×#14583491	C₂	semidirect
17. C₂×#14583486	C₂	semidirect
18. C₂×#14583481	C₂	semidirect
19. C₂×#14583470	C₂	semidirect
20. C₂×#14583462	C₂	semidirect
21. C₂×#14583445	C₂	semidirect
22. C₂×#14583430	C₂	semidirect
23. C₂×#14583429	C₂	semidirect
24. C₂×C₄₃×#550	C₂	semidirect
27. C₂³×Dic₈₆	C₂²	semidirect
29. #14583644	C₂²	semidirect
30. #14583636	C₂²	semidirect
31. #14583635	C₂²	semidirect
32. #14583621	C₂²	semidirect
33. #14583592	C₂²	semidirect
34. #14583578	C₂²	semidirect
35. #14583558	C₂²	semidirect
36. #14583555	C₂²	semidirect
37. #14583548	C₂²	semidirect
38. #14583546	C₂²	semidirect
39. #14583537	C₂²	semidirect
40. #14583507	C₂²	semidirect
41. #14583503	C₂²	semidirect
42. #14583502	C₂²	semidirect
43. #14583491	C₂²	semidirect
44. #14583486	C₂²	semidirect
45. #14583481	C₂²	semidirect
46. #14583470	C₂²	semidirect
47. #14583462	C₂²	semidirect
48. #14583445	C₂²	semidirect
49. C₂×#13063323	C₂²	semidirect
50. C₂×#13063323	C₂²	semidirect
52. #14583430	C₂²	semidirect
53. #14583429	C₂²	semidirect
56. C₂×#13063320	C₂²	semidirect
58. C₂×#13063319	C₂²	semidirect
59. C₂×#13063318	C₂²	semidirect
60. C₂×#13063318	C₂²	semidirect
61. C₂×#13063317	C₂²	semidirect
62. C₂×#13063316	C₂²	semidirect
63. C₂×#13063315	C₂²	semidirect
64. C₂×#13063315	C₂²	semidirect
69. C₂×#13063312	C₂²	semidirect
70. C₂×#13063312	C₂²	semidirect
73. C₂×#13063311	C₂²	semidirect
75. C₂×#13063309	C₂²	semidirect
79. C₂×#13063307	C₂²	semidirect
80. C₂×#13063306	C₂²	semidirect
81. C₂×#13063306	C₂²	semidirect
82. C₂×#13063306	C₂²	semidirect
83. C₂×#13063306	C₂²	semidirect
84. C₂×#13063306	C₂²	semidirect
85. C₂×#13063306	C₂²	semidirect
86. C₂×#13063306	C₂²	semidirect
88. C₂×#13063304	C₂²	semidirect
89. C₂×#13063304	C₂²	semidirect
90. C₂×#13063304	C₂²	semidirect
91. C₂×#13063303	C₂²	semidirect
92. C₂×#13063303	C₂²	semidirect
93. C₂×#13063302	C₂²	semidirect
94. C₂×#13063302	C₂²	semidirect
103. C₂×#13063297	C₂²	semidirect
104. C₂×#13063297	C₂²	semidirect
105. C₂×#13063297	C₂²	semidirect
106. C₂×#13063297	C₂²	semidirect
108. C₂×#13063296	C₂²	semidirect
113. C₂×C₄×Dic₈₆	C₂²	semidirect
114. C₂×C₄×Dic₈₆	C₂²	semidirect
115. C₂×#13063290	C₂²	semidirect
117. C₂×D₄×Dic₄₃	C₂²	semidirect
118. C₂×D₄×Dic₄₃	C₂²	semidirect
119. C₂×D₄×Dic₄₃	C₂²	semidirect
120. C₂×D₄×Dic₄₃	C₂²	semidirect
124. C₂×C₄×C₂²⋊D₄₃	C₂²	semidirect
125. C₂×C₄×C₂²⋊D₄₃	C₂²	semidirect
126. C₂×(C₂²⋊D₄₃)⋊C₄	C₂²	semidirect
127. C₂×#13063284	C₂²	semidirect
129. C₂×#13063282	C₂²	semidirect
130. C₂×#13063281	C₂²	semidirect
131. C₂²×Dic₄₃⋊C₄	C₂²	semidirect
134. C₂²×C₄×Dic₄₃	C₂²	semidirect
136. C₂²×#41×C₄₃	C₂²	semidirect
137. C₄₃×#550	C₂²	semidirect
139. C₂×#127×C₄₃	C₂²	semidirect
141. C₂×#121×C₄₃	C₂²	semidirect
142. C₂×#121×C₄₃	C₂²	semidirect
143. C₂×#121×C₄₃	C₂²	semidirect
144. C₂×C₄×Q₈×C₄₃	C₂²	semidirect
145. C₂×C₄×D₄×C₄₃	C₂²	semidirect
146. C₂×C₄×D₄×C₄₃	C₂²	semidirect
157. C₂²×Dic₈₆	C₂³	semidirect
178. #13063323	C₂³	semidirect
179. #13063323	C₂³	semidirect
183. #13063320	C₂³	semidirect
185. #13063319	C₂³	semidirect
186. #13063318	C₂³	semidirect
187. #13063318	C₂³	semidirect
188. #13063317	C₂³	semidirect
189. #13063316	C₂³	semidirect
190. #13063315	C₂³	semidirect
191. #13063315	C₂³	semidirect
196. #13063312	C₂³	semidirect
197. #13063312	C₂³	semidirect
200. #13063311	C₂³	semidirect
202. #13063309	C₂³	semidirect
206. #13063307	C₂³	semidirect
207. #13063306	C₂³	semidirect
208. #13063306	C₂³	semidirect
209. #13063306	C₂³	semidirect
210. #13063306	C₂³	semidirect
211. #13063306	C₂³	semidirect
212. #13063306	C₂³	semidirect
213. #13063306	C₂³	semidirect
215. #13063304	C₂³	semidirect
216. #13063304	C₂³	semidirect
217. #13063304	C₂³	semidirect
218. #13063303	C₂³	semidirect
219. #13063303	C₂³	semidirect
220. #13063302	C₂³	semidirect
221. #13063302	C₂³	semidirect
230. #13063297	C₂³	semidirect
231. #13063297	C₂³	semidirect
232. #13063297	C₂³	semidirect
233. #13063297	C₂³	semidirect
235. #13063296	C₂³	semidirect
240. C₄×Dic₈₆	C₂³	semidirect
241. C₄×Dic₈₆	C₂³	semidirect
242. #13063290	C₂³	semidirect
244. D₄×Dic₄₃	C₂³	semidirect
245. D₄×Dic₄₃	C₂³	semidirect
246. D₄×Dic₄₃	C₂³	semidirect
247. D₄×Dic₄₃	C₂³	semidirect
251. C₄×C₂²⋊D₄₃	C₂³	semidirect
252. C₄×C₂²⋊D₄₃	C₂³	semidirect
253. (C₂²⋊D₄₃)⋊C₄	C₂³	semidirect
254. #13063284	C₂³	semidirect
256. #13063282	C₂³	semidirect
257. #13063281	C₂³	semidirect
279. C₂×Dic₄₃⋊C₄	C₂³	semidirect
314. C₂×C₄×Dic₄₃	C₂³	semidirect
318. C₂×#41×C₄₃	C₂³	semidirect
334. #127×C₄₃	C₂³	semidirect
336. #121×C₄₃	C₂³	semidirect
337. #121×C₄₃	C₂³	semidirect
338. #121×C₄₃	C₂³	semidirect
339. C₄×Q₈×C₄₃	C₂³	semidirect
340. C₄×D₄×C₄₃	C₂³	semidirect
341. C₄×D₄×C₄₃	C₂³	semidirect
671. C₂×#550	D₄₃	semidirect
692. C₂×C₄₃	#3562	semidirect
701. C₂²×#41	C₂×D₄₃	semidirect
710. #550	C₂×D₄₃	semidirect
729. C₂×#127	C₂×D₄₃	semidirect
788. C₂×#121	C₂×D₄₃	semidirect
789. C₂×#121	C₂×D₄₃	semidirect
790. C₂×#121	C₂×D₄₃	semidirect
798. C₂×C₄×Q₈	C₂×D₄₃	semidirect
810. C₂×C₄×D₄	C₂×D₄₃	semidirect
811. C₂×C₄×D₄	C₂×D₄₃	semidirect
820. C₄₃	C₂×#3562	semidirect
829. C₂×#41	C₂²×D₄₃	semidirect
874. #127	C₂²×D₄₃	semidirect
931. #121	C₂²×D₄₃	semidirect
932. #121	C₂²×D₄₃	semidirect
933. #121	C₂²×D₄₃	semidirect
941. C₄×Q₈	C₂²×D₄₃	semidirect
953. C₄×D₄	C₂²×D₄₃	semidirect
954. C₄×D₄	C₂²×D₄₃	semidirect
1343. C₂	#19149169	direct (N × H)

Maximal subgroups

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

subgroup	index
#19149169	2
C₂×#14583644	2
C₂×#14583636	2
C₂×#14583635	2
C₂×#14583621	2
C₂×#14583592	2
C₂×#14583578	2
C₂×#14583558	2
C₂×#14583555	2
C₂×#14583548	2
C₂×#14583546	2
C₂×#14583537	2
C₂×#14583507	2
C₂×#14583503	2
C₂×#14583502	2
C₂×#14583491	2
C₂×#14583486	2
C₂×#14583481	2
C₂×#14583470	2
C₂×#14583462	2
C₂×#14583445	2
C₂×#14583430	2
C₂×#14583429	2
C₂×C₄₃×#550	2
C₂×#3562	43

Subgroups — C2×#19149169 #26004076

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₂×#19149169 #26004076