Subgroups — C₂×#19148634 #26004604

Order 11008.

7910 conjugacy classes of subgroups.

The subgroup lattice has 1320 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#19148634	C₂	1	32	yes	maximal, direct product factor
2	C₂×#14583621	C₂	1	1	yes	maximal, characteristic, complemented
3	C₂×#14583609	C₂	1	1	yes	maximal, characteristic, complemented
4	C₂×#14583604	C₂	1	1	yes	maximal, characteristic, complemented
5	C₂×#14583582	C₂	1	2	yes	maximal, complemented
6	C₂×#14583578	C₂	1	2	yes	maximal, complemented
7	C₂×#14583573	C₂	1	2	yes	maximal, complemented
8	C₂×D₄×Dic₈₆	C₂	1	1	yes	maximal, characteristic, complemented
9	C₂×#14583558	C₂	1	2	yes	maximal, complemented
10	C₂×#14583550	C₂	1	1	yes	maximal, characteristic, complemented
11	C₂×#14583548	C₂	1	1	yes	maximal, characteristic, complemented
12	C₂×#14583544	C₂	1	1	yes	maximal, characteristic, complemented
13	C₂×#14583537	C₂	1	1	yes	maximal, characteristic, complemented
14	C₂×#14583521	C₂	1	1	yes	maximal, characteristic, complemented
15	C₂×#14583520	C₂	1	1	yes	maximal, characteristic, complemented
16	C₂×#14583496	C₂	1	2	yes	maximal, complemented
17	C₂×#14583491	C₂	1	2	yes	maximal, complemented
18	C₂×#14583453	C₂	1	1	yes	maximal, characteristic, complemented
19	C₂×#14583427	C₂	1	1	yes	maximal, characteristic, complemented
20	C₂×#14583408	C₂	1	2	yes	maximal, complemented
21	C₂²×#13063303	C₂	1	2	yes	maximal, complemented
22	C₂×#14583378	C₂	1	1	yes	maximal, characteristic, complemented
23	C₂×C₄×D₄×D₄₃	C₂	1	1	yes	maximal, characteristic, complemented
24	C₂×C₄₃×#520	C₂	1	1	yes	maximal, characteristic, complemented
25	C₂²×#10621898	C₂²	1	2	yes	complemented
26	C₂²×#10621900	C₂²	1	1	yes	characteristic
27	C₂³×Dic₈₆	C₂²	1	2	yes	complemented
28	C₂²×D₄×D₄₃	C₂²	1	1	yes	characteristic
29	C₂³×C₄×D₄₃	C₂²	1	2	yes	—
30	#14583621	C₂²	1	16	yes	complemented
31	#14583609	C₂²	1	16	yes	complemented
32	#14583604	C₂²	1	16	yes	complemented
33	#14583582	C₂²	1	32	yes	complemented
34	#14583578	C₂²	1	32	yes	complemented
35	#14583573	C₂²	1	32	yes	complemented
36	D₄×Dic₈₆	C₂²	1	16	yes	complemented
37	#14583558	C₂²	1	32	yes	complemented
38	#14583550	C₂²	1	16	yes	complemented
39	#14583548	C₂²	1	16	yes	complemented
40	#14583544	C₂²	1	16	yes	complemented
41	#14583537	C₂²	1	16	yes	complemented
42	#14583521	C₂²	1	16	yes	complemented
43	#14583520	C₂²	1	16	yes	complemented
44	#14583496	C₂²	1	32	yes	complemented
45	#14583491	C₂²	1	32	yes	complemented
46	#14583453	C₂²	1	16	yes	complemented
47	C₂×#13063325	C₂²	1	1	yes	characteristic, complemented
48	C₂×#13063324	C₂²	1	1	yes	characteristic, complemented
49	C₂×#13063324	C₂²	1	1	yes	characteristic, complemented
50	C₂×#13063323	C₂²	1	1	yes	characteristic, complemented
51	#14583427	C₂²	1	16	yes	complemented
52	C₂×#13063320	C₂²	1	2	yes	complemented
53	C₂×#13063320	C₂²	1	2	yes	complemented
54	C₂×#13063320	C₂²	1	1	yes	characteristic, complemented
55	C₂×#13063319	C₂²	1	2	yes	complemented
56	C₂×#13063319	C₂²	1	2	yes	complemented
57	C₂×#13063318	C₂²	1	1	yes	characteristic, complemented
58	C₂×#13063317	C₂²	1	2	yes	complemented
59	C₂×#13063315	C₂²	1	1	yes	characteristic, complemented
60	C₂×#13063315	C₂²	1	2	yes	complemented
61	C₂×#13063315	C₂²	1	2	yes	complemented
62	C₂×#13063314	C₂²	1	1	yes	characteristic
63	C₂×#13063313	C₂²	1	1	yes	characteristic
64	C₂×#13063313	C₂²	1	2	yes	complemented
65	C₂×#13063311	C₂²	1	1	yes	characteristic, complemented
66	C₂×#13063311	C₂²	1	2	yes	complemented
67	#14583408	C₂²	1	32	yes	complemented
68	C₂×#13063310	C₂²	1	1	yes	characteristic
69	C₂×#13063310	C₂²	1	2	yes	complemented
70	C₂×#13063310	C₂²	1	2	yes	complemented
71	C₂×#13063309	C₂²	1	2	yes	—
72	C₂×#13063308	C₂²	1	2	yes	—
73	C₂×#13063308	C₂²	1	2	yes	complemented
74	C₂×#13063308	C₂²	1	2	yes	complemented
75	C₂×#13063307	C₂²	1	1	yes	characteristic
76	C₂×#13063307	C₂²	1	2	yes	complemented
77	C₂×#13063306	C₂²	1	2	yes	complemented
78	C₂×#13063305	C₂²	1	1	yes	characteristic
79	C₂×#13063304	C₂²	1	1	yes	characteristic, complemented
80	C₂×#13063304	C₂²	1	2	yes	complemented
81	C₂×#13063304	C₂²	1	2	yes	complemented
82	C₂×#13063303	C₂²	1	1	yes	characteristic
83	C₂×#13063303	C₂²	1	2	yes	—
84	C₂×#13063303	C₂²	1	2	yes	—
85	C₂×#13063303	C₂²	1	2	yes	—
86	C₂×#13063303	C₂²	1	2	yes	complemented
87	C₂×#13063303	C₂²	1	2	yes	complemented
88	C₂×#13063303	C₂²	1	2	yes	complemented
89	C₂×#13063303	C₂²	1	2	yes	complemented
90	C₂×#13063303	C₂²	1	2	yes	complemented
91	C₂×#13063303	C₂²	1	32	yes	complemented
92	C₂×#13063302	C₂²	1	2	yes	complemented
93	C₂×#13063302	C₂²	1	2	yes	complemented
94	C₂×#13063301	C₂²	1	1	yes	characteristic
95	C₂×#13063301	C₂²	1	1	yes	characteristic, complemented
96	C₂×#13063300	C₂²	1	1	yes	characteristic
97	C₂×#13063299	C₂²	1	1	yes	characteristic
98	C₂×#13063299	C₂²	1	2	yes	—
99	C₂×#13063298	C₂²	1	1	yes	characteristic
100	C₂×#13063297	C₂²	1	2	yes	—
101	C₂×#13063297	C₂²	1	2	yes	complemented
102	C₂×#13063295	C₂²	1	2	yes	—
103	C₂×#13063293	C₂²	1	2	yes	—
104	#14583378	C₂²	1	16	yes	complemented
105	C₂×C₄×Dic₈₆	C₂²	1	1	yes	characteristic, complemented
106	C₂×C₄×Dic₈₆	C₂²	1	2	yes	complemented
107	C₂×C₄×Dic₈₆	C₂²	1	1	yes	characteristic, complemented
108	C₂×#13063290	C₂²	1	1	yes	characteristic, complemented
109	C₂×C₄×D₁₇₂	C₂²	1	1	yes	characteristic
110	C₂×C₄×D₁₇₂	C₂²	1	2	yes	—
111	C₂×C₄×D₁₇₂	C₂²	1	1	yes	characteristic
112	C₂×D₄×Dic₄₃	C₂²	1	1	yes	characteristic
113	C₂×D₄×Dic₄₃	C₂²	1	1	yes	characteristic
114	C₂×#13063287	C₂²	1	1	yes	characteristic
115	C₂×C₄×C₂²⋊D₄₃	C₂²	1	1	yes	characteristic
116	C₂×C₄×C₂²⋊D₄₃	C₂²	1	2	yes	—
117	C₂×C₄×C₂²⋊D₄₃	C₂²	1	2	yes	—
118	C₂×C₄×C₂²⋊D₄₃	C₂²	1	2	yes	complemented
119	C₂×C₄×C₂²⋊D₄₃	C₂²	1	1	yes	characteristic, complemented
120	C₂×(C₂²⋊D₄₃)⋊C₄	C₂²	1	2	yes	—
121	C₂×(C₂²⋊D₄₃)⋊C₄	C₂²	1	2	yes	complemented
122	C₄×D₄×D₄₃	C₂²	1	16	yes	complemented
123	C₂×#13063282	C₂²	1	2	yes	—
124	C₂×#13063282	C₂²	1	1	yes	characteristic, complemented
125	C₂×#13063282	C₂²	1	2	yes	complemented
126	C₂×#13063281	C₂²	1	2	yes	complemented
127	C₂²×Dic₄₃⋊C₄	C₂²	1	2	yes	complemented
128	C₂²×Dic₄₃⋊C₄	C₂²	1	2	yes	complemented
129	C₂×C₄⋊C₄×D₄₃	C₂²	1	1	yes	characteristic
130	C₂×C₄⋊C₄×D₄₃	C₂²	1	1	yes	characteristic, complemented
131	C₂²×(C₂×D₄₃)⋊C₄	C₂²	1	2	yes	—
132	C₂²×(C₂×D₄₃)⋊C₄	C₂²	1	2	yes	—
133	C₂×C₂²⋊C₄×D₄₃	C₂²	1	2	yes	—
134	C₂×C₄²×D₄₃	C₂²	1	1	yes	characteristic
135	C₂²×#41×C₄₃	C₂²	1	1	yes	characteristic
136	C₄₃×#520	C₂²	1	16	yes	complemented
137	C₂×C₄×Q₈×C₄₃	C₂²	1	1	yes	characteristic, complemented
138	C₂×C₄×Q₈×C₄₃	C₂²	1	1	yes	characteristic, complemented
139	C₂×C₄×D₄×C₄₃	C₂²	1	1	yes	characteristic
140	C₂×C₄×D₄×C₄₃	C₂²	1	1	yes	characteristic
141	C₂×C₄×D₄×C₄₃	C₂²	1	2	yes	complemented
142	C₂×C₄×D₄×C₄₃	C₂²	1	2	yes	complemented
143	C₂×#117×C₄₃	C₂²	1	2	yes	complemented
144	C₂×#117×C₄₃	C₂²	1	1	yes	characteristic, complemented
145	C₂²×C₄⋊C₄×C₄₃	C₂²	1	1	yes	characteristic, complemented
146	C₂²×C₄⋊C₄×C₄₃	C₂²	1	2	yes	complemented
147	C₂⁴×D₄₃	C₂³	1	2	yes	—
148	C₂×#10621898	—	4	8	no	—
149	C₂×#10621898	C₂³	1	16	yes	complemented
150	C₂×#10621900	—	2	8	no	—
151	C₂×#10621900	C₂³	1	8	yes	—
152	C₂²×Dic₈₆	—	4	8	no	—
153	C₂²×Dic₈₆	C₂³	1	1	yes	characteristic
154	C₂²×Dic₈₆	C₂³	1	2	yes	—
155	C₂²×Dic₈₆	C₂³	1	1	yes	characteristic
156	C₂²×Dic₈₆	C₂³	1	2	yes	—
157	C₂²×Dic₈₆	C₂³	1	2	yes	—
158	C₂²×Dic₈₆	C₂³	1	16	yes	complemented
159	C₂²×D₁₇₂	C₂³	1	1	yes	characteristic
160	C₂²×D₁₇₂	C₂³	1	1	yes	characteristic
161	C₂²×D₁₇₂	C₂³	1	2	yes	—
162	C₂²×C₂²⋊D₄₃	C₂³	1	2	yes	—
163	C₂²×C₂²⋊D₄₃	C₂³	1	2	yes	—
164	C₂²×C₂²⋊D₄₃	C₂³	1	1	yes	characteristic
165	C₂²×C₂²⋊D₄₃	C₂³	1	1	yes	characteristic
166	C₂²×C₂²⋊D₄₃	C₂³	1	2	yes	—
167	C₂×D₄×D₄₃	—	2	8	no	—
168	C₂×D₄×D₄₃	C₂³	1	8	yes	—
169	C₂³×Dic₄₃	C₂³	1	2	yes	—
170	C₂³×Dic₄₃	C₂³	1	2	yes	—
171	C₂³×Dic₄₃	C₂³	1	2	yes	—
172	C₂²×C₄×D₄₃	—	4	8	no	—
173	C₂²×C₄×D₄₃	C₂³	1	1	yes	characteristic
174	C₂²×C₄×D₄₃	C₂³	1	1	yes	characteristic
175	C₂²×C₄×D₄₃	C₂³	1	1	yes	characteristic
176	C₂²×C₄×D₄₃	C₂³	1	1	yes	characteristic
177	C₂²×C₄×D₄₃	C₂³	1	2	yes	—
178	C₂²×C₄×D₄₃	C₂³	1	2	yes	—
179	C₂²×C₄×D₄₃	C₂³	1	2	yes	—
180	C₂²×C₄×D₄₃	C₂³	1	16	yes	—
181	C₂²×C₄×D₄₃	C₂³	1	2	yes	—
182	#13063325	C₂³	1	8	yes	complemented
183	#13063324	C₂³	1	8	yes	complemented
184	#13063324	C₂³	1	8	yes	complemented
185	#13063323	C₂³	1	8	yes	complemented
186	#13063320	C₂³	1	16	yes	complemented
187	#13063320	C₂³	1	16	yes	complemented
188	#13063320	C₂³	1	8	yes	complemented
189	#13063319	C₂³	1	16	yes	complemented
190	#13063319	C₂³	1	16	yes	complemented
191	#13063318	C₂³	1	8	yes	complemented
192	#13063317	C₂³	1	16	yes	complemented
193	#13063315	C₂³	1	8	yes	complemented
194	#13063315	C₂³	1	16	yes	complemented
195	#13063315	C₂³	1	16	yes	complemented
196	#13063314	C₂³	1	8	yes	—
197	#13063313	C₂³	1	8	yes	—
198	#13063313	C₂³	1	16	yes	complemented
199	#13063311	C₂³	1	8	yes	complemented
200	#13063311	C₂³	1	16	yes	complemented
201	#13063310	C₂³	1	8	yes	—
202	#13063310	C₂³	1	16	yes	complemented
203	#13063310	C₂³	1	16	yes	complemented
204	#13063309	C₂³	1	16	yes	—
205	#13063308	C₂³	1	16	yes	—
206	#13063308	C₂³	1	16	yes	complemented
207	#13063308	C₂³	1	16	yes	complemented
208	#13063307	C₂³	1	8	yes	—
209	#13063307	C₂³	1	16	yes	complemented
210	#13063306	C₂³	1	16	yes	complemented
211	#13063305	C₂³	1	8	yes	—
212	#13063304	C₂³	1	16	yes	complemented
213	#13063304	C₂³	1	16	yes	complemented
214	#13063304	C₂³	1	8	yes	complemented
215	#13063303	C₂³	1	16	yes	—
216	#13063303	C₂³	1	16	yes	—
217	#13063303	C₂³	1	8	yes	—
218	#13063303	C₂³	1	16	yes	—
219	#13063303	C₂³	1	16	yes	complemented
220	#13063303	C₂³	1	16	yes	complemented
221	#13063303	C₂³	1	16	yes	complemented
222	#13063303	C₂³	1	16	yes	complemented
223	#13063303	C₂³	1	16	yes	complemented
224	#13063302	C₂³	1	16	yes	complemented
225	#13063302	C₂³	1	16	yes	complemented
226	#13063301	C₂³	1	8	yes	—
227	#13063301	C₂³	1	8	yes	complemented
228	#13063300	C₂³	1	8	yes	—
229	#13063299	C₂³	1	16	yes	—
230	#13063299	C₂³	1	8	yes	—
231	#13063298	C₂³	1	8	yes	—
232	#13063297	C₂³	1	16	yes	—
233	#13063297	C₂³	1	16	yes	complemented
234	#13063295	C₂³	1	16	yes	—
235	#13063293	C₂³	1	16	yes	—
236	C₄×Dic₈₆	C₂³	1	16	yes	complemented
237	C₄×Dic₈₆	C₂³	1	8	yes	complemented
238	C₄×Dic₈₆	C₂³	1	8	yes	complemented
239	#13063290	C₂³	1	8	yes	complemented
240	C₄×D₁₇₂	C₂³	1	16	yes	—
241	C₄×D₁₇₂	C₂³	1	8	yes	—
242	C₄×D₁₇₂	C₂³	1	8	yes	—
243	D₄×Dic₄₃	C₂³	1	8	yes	—
244	D₄×Dic₄₃	C₂³	1	8	yes	—
245	#13063287	C₂³	1	8	yes	—
246	C₄×C₂²⋊D₄₃	C₂³	1	16	yes	—
247	C₄×C₂²⋊D₄₃	C₂³	1	8	yes	—
248	C₄×C₂²⋊D₄₃	C₂³	1	16	yes	—
249	C₄×C₂²⋊D₄₃	C₂³	1	16	yes	complemented
250	C₄×C₂²⋊D₄₃	C₂³	1	8	yes	complemented
251	(C₂²⋊D₄₃)⋊C₄	C₂³	1	16	yes	—
252	(C₂²⋊D₄₃)⋊C₄	C₂³	1	16	yes	complemented
253	#13063282	C₂³	1	16	yes	—
254	#13063282	C₂³	1	16	yes	complemented
255	#13063282	C₂³	1	8	yes	complemented
256	#13063281	C₂³	1	16	yes	complemented
257	C₂×C₄⋊Dic₄₃	C₂³	1	1	yes	characteristic
258	C₂×C₄⋊Dic₄₃	C₂³	1	1	yes	characteristic
259	C₂×C₄⋊Dic₄₃	C₂³	1	2	yes	—
260	C₂×C₄⋊Dic₄₃	C₂³	1	1	yes	characteristic
261	C₂×C₄⋊Dic₄₃	C₂³	1	2	yes	—
262	C₂×C₄⋊Dic₄₃	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	1	yes	characteristic
266	C₂×Dic₄₃⋊C₄	C₂³	1	1	yes	characteristic
267	C₂×Dic₄₃⋊C₄	C₂³	1	2	yes	—
268	C₂×Dic₄₃⋊C₄	C₂³	1	2	yes	—
269	C₂×Dic₄₃⋊C₄	C₂³	1	2	yes	—
270	C₂×Dic₄₃⋊C₄	C₂³	1	2	yes	—
271	C₂×Dic₄₃⋊C₄	C₂³	1	2	yes	—
272	C₂×Dic₄₃⋊C₄	C₂³	1	1	yes	characteristic
273	C₂×Dic₄₃⋊C₄	C₂³	1	2	yes	—
274	C₂×Dic₄₃⋊C₄	C₂³	1	2	yes	—
275	C₂×Dic₄₃⋊C₄	C₂³	1	1	yes	characteristic
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	1	yes	characteristic
280	C₂×Dic₄₃⋊C₄	C₂³	1	16	yes	complemented
281	C₂×Dic₄₃⋊C₄	C₂³	1	16	yes	complemented
282	C₄⋊C₄×D₄₃	C₂³	1	8	yes	—
283	C₄⋊C₄×D₄₃	C₂³	1	8	yes	complemented
284	C₂×C₂²⋊Dic₄₃	C₂³	1	2	yes	—
285	C₂×C₂²⋊Dic₄₃	C₂³	1	2	yes	—
286	C₂×C₂²⋊Dic₄₃	C₂³	1	1	yes	characteristic
287	C₂×C₂²⋊Dic₄₃	C₂³	1	2	yes	—
288	C₂×C₂²⋊Dic₄₃	C₂³	1	1	yes	characteristic
289	C₂×(C₂×D₄₃)⋊C₄	C₂³	1	16	yes	—
290	C₂×(C₂×D₄₃)⋊C₄	C₂³	1	16	yes	—
291	C₂×(C₂×D₄₃)⋊C₄	C₂³	1	2	yes	—
292	C₂×(C₂×D₄₃)⋊C₄	C₂³	1	2	yes	—
293	C₂×(C₂×D₄₃)⋊C₄	C₂³	1	1	yes	characteristic
294	C₂×(C₂×D₄₃)⋊C₄	C₂³	1	1	yes	characteristic
295	C₂×(C₂×D₄₃)⋊C₄	C₂³	1	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	2	yes	—
299	C₂×(C₂×D₄₃)⋊C₄	C₂³	1	2	yes	—
300	C₂×(C₂×D₄₃)⋊C₄	C₂³	1	2	yes	—
301	C₂×(C₂×D₄₃)⋊C₄	C₂³	1	1	yes	characteristic
302	C₂×(C₂×D₄₃)⋊C₄	C₂³	1	1	yes	characteristic
303	C₂×(C₂×D₄₃)⋊C₄	C₂³	1	2	yes	—
304	C₂×(C₂×D₄₃)⋊C₄	C₂³	1	2	yes	—
305	C₂×(C₂×D₄₃)⋊C₄	C₂³	1	1	yes	characteristic
306	C₂×(C₂×D₄₃)⋊C₄	C₂³	1	2	yes	—
307	C₂×(C₂×D₄₃)⋊C₄	C₂³	1	1	yes	characteristic
308	C₂²⋊C₄×D₄₃	C₂³	1	16	yes	—
309	C₂×C₄×Dic₄₃	C₂³	1	1	yes	characteristic
310	C₂×C₄×Dic₄₃	C₂³	1	1	yes	characteristic
311	C₂×C₄×Dic₄₃	C₂³	1	1	yes	characteristic
312	C₂×C₄×Dic₄₃	C₂³	1	2	yes	—
313	C₂×C₄×Dic₄₃	C₂³	1	2	yes	—
314	C₂×C₄×Dic₄₃	C₂³	1	1	yes	characteristic
315	C₄²×D₄₃	C₂³	1	8	yes	—
316	C₂×#41×C₄₃	—	2	8	no	—
317	C₂×#41×C₄₃	C₂³	1	8	yes	—
318	C₂²×Q₈×C₄₃	C₂³	1	1	yes	characteristic
319	C₂²×D₄×C₄₃	C₂³	1	2	yes	—
320	C₂²×D₄×C₄₃	C₂³	1	1	yes	characteristic
321	C₂³×C₄×C₄₃	C₂³	1	2	yes	—
322	C₂³×C₄×C₄₃	C₂³	1	1	yes	characteristic
323	C₂³×C₄×C₄₃	C₂³	1	2	yes	—
324	C₂³×C₄×C₄₃	C₂³	1	2	yes	—
325	C₂³×C₄×C₄₃	C₂³	1	2	yes	—
326	C₄×Q₈×C₄₃	C₂³	1	8	yes	complemented
327	C₄×Q₈×C₄₃	C₂³	1	8	yes	complemented
328	C₄×D₄×C₄₃	C₂³	1	8	yes	—
329	C₄×D₄×C₄₃	C₂³	1	8	yes	—
330	C₄×D₄×C₄₃	C₂³	1	16	yes	complemented
331	C₄×D₄×C₄₃	C₂³	1	16	yes	complemented
332	#117×C₄₃	C₂³	1	16	yes	complemented
333	#117×C₄₃	C₂³	1	8	yes	complemented
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	1	yes	characteristic
337	C₂×C₄⋊C₄×C₄₃	C₂³	1	1	yes	characteristic
338	C₂×C₄⋊C₄×C₄₃	C₂³	1	2	yes	—
339	C₂×C₄⋊C₄×C₄₃	C₂³	1	2	yes	—
340	C₂×C₄⋊C₄×C₄₃	C₂³	1	1	yes	characteristic
341	C₂×C₄⋊C₄×C₄₃	C₂³	1	8	yes	complemented
342	C₂×C₄⋊C₄×C₄₃	C₂³	1	16	yes	complemented
343	C₂×C₂²⋊C₄×C₄₃	C₂³	1	2	yes	—
344	C₂×C₂²⋊C₄×C₄₃	C₂³	1	2	yes	—
345	C₂×C₂²⋊C₄×C₄₃	C₂³	1	1	yes	characteristic
346	C₂×C₂²⋊C₄×C₄₃	C₂³	1	1	yes	characteristic
347	C₂×C₄²×C₄₃	C₂³	1	1	yes	characteristic
348	C₂×C₄²×C₄₃	C₂³	1	1	yes	characteristic
349	C₂×C₄²×C₄₃	C₂³	1	2	yes	—
350	C₂×C₄²×C₄₃	C₂³	1	2	yes	—
351	C₂⁴×C₄₃	C₂⁴	1	1	yes	characteristic
352	C₂⁴×C₄₃	C₂⁴	1	2	yes	—
353	C₂³×D₄₃	—	2	8	no	—
354	C₂³×D₄₃	—	2	8	no	—
355	C₂³×D₄₃	—	4	4	no	—
356	C₂³×D₄₃	C₂⁴	1	2	yes	—
357	C₂³×D₄₃	C₂⁴	1	1	yes	characteristic
358	C₂³×D₄₃	C₂⁴	1	8	yes	—
359	C₂³×D₄₃	C₂⁴	1	1	yes	characteristic
360	#41×C₄₃	—	2	32	no	—
361	C₂×Q₈×C₄₃	—	2	4	no	—
362	C₂×Q₈×C₄₃	C₂⁴	1	4	yes	—
363	C₂×D₄×C₄₃	—	2	8	no	—
364	C₂×D₄×C₄₃	#41	1	8	yes	complemented
365	C₂×D₄×C₄₃	C₂⁴	1	8	yes	—
366	C₂×D₄×C₄₃	C₂⁴	1	4	yes	—
367	C₂²×C₄×C₄₃	—	2	4	no	—
368	C₂²×C₄×C₄₃	—	2	8	no	—
369	C₂²×C₄×C₄₃	—	4	4	no	—
370	C₂²×C₄×C₄₃	—	4	4	no	—
371	C₂²×C₄×C₄₃	—	4	4	no	—
372	C₂²×C₄×C₄₃	C₂⁴	1	1	yes	characteristic
373	C₂²×C₄×C₄₃	C₂⁴	1	1	yes	characteristic
374	C₂²×C₄×C₄₃	C₂⁴	1	2	yes	—
375	C₂²×C₄×C₄₃	C₂⁴	1	1	yes	characteristic
376	C₂²×C₄×C₄₃	C₂⁴	1	2	yes	—
377	C₂²×C₄×C₄₃	C₂⁴	1	1	yes	characteristic
378	C₂²×C₄×C₄₃	C₂⁴	1	2	yes	—
379	C₂²×C₄×C₄₃	C₂⁴	1	1	yes	characteristic
380	C₂²×C₄×C₄₃	C₂⁴	1	8	yes	—
381	C₂²×C₄×C₄₃	C₂⁴	1	4	yes	—
382	C₂²×C₄×C₄₃	C₂⁴	1	8	yes	—
383	C₂²×C₄×C₄₃	C₂⁴	1	8	yes	—
384	C₂²×C₄×C₄₃	C₂⁴	1	8	yes	—
385	C₂²×C₄×C₄₃	C₂⁴	1	1	yes	characteristic
386	C₂×C₂²⋊D₄₃	—	2	4	no	—
387	C₂×C₂²⋊D₄₃	—	2	8	no	—
388	C₂×C₂²⋊D₄₃	—	2	8	no	—
389	C₂×C₂²⋊D₄₃	—	2	4	no	—
390	C₂×C₂²⋊D₄₃	—	4	4	no	—
391	C₂×C₂²⋊D₄₃	C₂⁴	1	8	yes	—
392	C₂×C₂²⋊D₄₃	C₂⁴	1	8	yes	—
393	C₂×C₂²⋊D₄₃	C₂⁴	1	4	yes	—
394	C₂×C₂²⋊D₄₃	C₂⁴	1	4	yes	—
395	C₂×C₂²⋊D₄₃	C₂⁴	1	8	yes	—
396	C₂²×Dic₄₃	—	2	8	no	—
397	C₂²×Dic₄₃	—	2	8	no	—
398	C₂²×Dic₄₃	—	4	4	no	—
399	C₂²×Dic₄₃	C₂⁴	1	1	yes	characteristic
400	C₂²×Dic₄₃	C₂⁴	1	1	yes	characteristic
401	C₂²×Dic₄₃	C₂⁴	1	2	yes	—
402	C₂²×Dic₄₃	C₂⁴	1	1	yes	characteristic
403	C₂²×Dic₄₃	C₂⁴	1	1	yes	characteristic
404	C₂²×Dic₄₃	C₂⁴	1	2	yes	—
405	C₂²×Dic₄₃	C₂⁴	1	1	yes	characteristic
406	C₂²×Dic₄₃	C₂⁴	1	2	yes	—
407	C₂²×Dic₄₃	C₂⁴	1	8	yes	—
408	C₂²×Dic₄₃	C₂⁴	1	8	yes	—
409	C₂²×Dic₄₃	C₂⁴	1	8	yes	—
410	C₂²×Dic₄₃	C₂⁴	1	1	yes	characteristic
411	#10621900	—	2	32	no	—
412	D₄×D₄₃	—	2	32	no	—
413	#10621898	—	4	32	no	—
414	C₂×D₁₇₂	—	2	4	no	—
415	C₂×D₁₇₂	—	2	4	no	—
416	C₂×D₁₇₂	—	4	4	no	—
417	C₂×D₁₇₂	C₂⁴	1	4	yes	—
418	C₂×D₁₇₂	C₂⁴	1	4	yes	—
419	C₂×D₁₇₂	C₂⁴	1	8	yes	—
420	C₂×C₄×D₄₃	—	2	4	no	—
421	C₂×C₄×D₄₃	—	2	4	no	—
422	C₂×C₄×D₄₃	—	2	4	no	—
423	C₂×C₄×D₄₃	—	2	8	no	—
424	C₂×C₄×D₄₃	—	2	4	no	—
425	C₂×C₄×D₄₃	—	4	4	no	—
426	C₂×C₄×D₄₃	—	4	4	no	—
427	C₂×C₄×D₄₃	—	4	4	no	—
428	C₂×C₄×D₄₃	—	4	32	no	—
429	C₂×C₄×D₄₃	C₂⁴	1	4	yes	—
430	C₂×C₄×D₄₃	C₂⁴	1	4	yes	—
431	C₂×C₄×D₄₃	C₂⁴	1	4	yes	—
432	C₂×C₄×D₄₃	C₂⁴	1	4	yes	—
433	C₂×C₄×D₄₃	C₂⁴	1	8	yes	—
434	C₂×C₄×D₄₃	C₂⁴	1	8	yes	—
435	C₂×C₄×D₄₃	C₂⁴	1	8	yes	—
436	C₂×C₄×D₄₃	C₂⁴	1	8	yes	—
437	C₂×Dic₈₆	—	2	4	no	—
438	C₂×Dic₈₆	—	2	4	no	—
439	C₂×Dic₈₆	—	2	8	no	—
440	C₂×Dic₈₆	—	4	32	no	—
441	C₂×Dic₈₆	—	4	4	no	—
442	C₂×Dic₈₆	—	4	4	no	—
443	C₂×Dic₈₆	C₂⁴	1	4	yes	—
444	C₂×Dic₈₆	C₂⁴	1	8	yes	—
445	C₂×Dic₈₆	C₂⁴	1	4	yes	—
446	C₂×Dic₈₆	C₂⁴	1	8	yes	—
447	C₂×Dic₈₆	C₂⁴	1	8	yes	—
448	C₄⋊C₄×C₄₃	C₂⁴	1	4	yes	—
449	C₄⋊C₄×C₄₃	C₂⁴	1	8	yes	—
450	C₄⋊C₄×C₄₃	C₂⁴	1	4	yes	—
451	C₄⋊C₄×C₄₃	C₂⁴	1	4	yes	—
452	C₄⋊C₄×C₄₃	C₂⁴	1	8	yes	—
453	C₄⋊C₄×C₄₃	C₂⁴	1	8	yes	—
454	C₄⋊C₄×C₄₃	C₂⁴	1	4	yes	—
455	C₂²⋊C₄×C₄₃	C₂⁴	1	8	yes	—
456	C₂²⋊C₄×C₄₃	C₂⁴	1	8	yes	—
457	C₂²⋊C₄×C₄₃	C₂⁴	1	4	yes	—
458	C₂²⋊C₄×C₄₃	C₂⁴	1	4	yes	—
459	C₄²×C₄₃	C₂⁴	1	4	yes	—
460	C₄²×C₄₃	C₂⁴	1	4	yes	—
461	C₄²×C₄₃	C₂⁴	1	8	yes	—
462	C₄²×C₄₃	C₂⁴	1	8	yes	—
463	C₂²⋊Dic₄₃	C₂⁴	1	8	yes	—
464	C₂²⋊Dic₄₃	C₂⁴	1	8	yes	—
465	C₂²⋊Dic₄₃	C₂⁴	1	4	yes	—
466	C₂²⋊Dic₄₃	C₂⁴	1	8	yes	—
467	C₂²⋊Dic₄₃	C₂⁴	1	4	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	(C₂×D₄₃)⋊C₄	C₂⁴	1	8	yes	—
473	(C₂×D₄₃)⋊C₄	C₂⁴	1	8	yes	—
474	(C₂×D₄₃)⋊C₄	C₂⁴	1	8	yes	—
475	(C₂×D₄₃)⋊C₄	C₂⁴	1	8	yes	—
476	(C₂×D₄₃)⋊C₄	C₂⁴	1	8	yes	—
477	(C₂×D₄₃)⋊C₄	C₂⁴	1	8	yes	—
478	(C₂×D₄₃)⋊C₄	C₂⁴	1	4	yes	—
479	(C₂×D₄₃)⋊C₄	C₂⁴	1	4	yes	—
480	(C₂×D₄₃)⋊C₄	C₂⁴	1	8	yes	—
481	(C₂×D₄₃)⋊C₄	C₂⁴	1	8	yes	—
482	(C₂×D₄₃)⋊C₄	C₂⁴	1	4	yes	—
483	(C₂×D₄₃)⋊C₄	C₂⁴	1	8	yes	—
484	(C₂×D₄₃)⋊C₄	C₂⁴	1	4	yes	—
485	C₄⋊Dic₄₃	C₂⁴	1	4	yes	—
486	C₄⋊Dic₄₃	C₂⁴	1	4	yes	—
487	C₄⋊Dic₄₃	C₂⁴	1	8	yes	—
488	C₄⋊Dic₄₃	C₂⁴	1	4	yes	—
489	C₄⋊Dic₄₃	C₂⁴	1	8	yes	—
490	C₄⋊Dic₄₃	C₂⁴	1	4	yes	—
491	Dic₄₃⋊C₄	C₂⁴	1	8	yes	—
492	Dic₄₃⋊C₄	C₂⁴	1	8	yes	—
493	Dic₄₃⋊C₄	C₂⁴	1	4	yes	—
494	Dic₄₃⋊C₄	C₂⁴	1	4	yes	—
495	Dic₄₃⋊C₄	C₂⁴	1	8	yes	—
496	Dic₄₃⋊C₄	C₂⁴	1	8	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	4	yes	—
501	Dic₄₃⋊C₄	C₂⁴	1	8	yes	—
502	Dic₄₃⋊C₄	C₂⁴	1	8	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	4	yes	—
508	C₄×Dic₄₃	C₂⁴	1	4	yes	—
509	C₄×Dic₄₃	C₂⁴	1	4	yes	—
510	C₄×Dic₄₃	C₂⁴	1	4	yes	—
511	C₄×Dic₄₃	C₂⁴	1	8	yes	—
512	C₄×Dic₄₃	C₂⁴	1	8	yes	—
513	C₄×Dic₄₃	C₂⁴	1	4	yes	—
514	C₂³×C₄₃	—	2	4	no	—
515	C₂³×C₄₃	—	2	4	no	—
516	C₂³×C₄₃	—	2	2	no	—
517	C₂³×C₄₃	—	2	2	no	—
518	C₂³×C₄₃	—	2	2	no	—
519	C₂³×C₄₃	C₂×#41	1	8	yes	—
520	C₂³×C₄₃	C₂⁵	1	2	yes	—
521	C₂³×C₄₃	C₂⁵	1	4	yes	—
522	C₂³×C₄₃	C₂⁵	1	1	yes	characteristic
523	C₂²×D₄₃	—	2	2	no	—
524	C₂²×D₄₃	—	2	2	no	—
525	C₂²×D₄₃	—	2	2	no	—
526	C₂²×D₄₃	—	2	4	no	—
527	C₂²×D₄₃	—	2	16	no	—
528	C₂²×D₄₃	—	2	4	no	—
529	C₂²×D₄₃	—	2	2	no	—
530	C₂²×D₄₃	—	2	2	no	—
531	C₂²×D₄₃	—	2	4	no	—
532	C₂²×D₄₃	—	2	16	no	—
533	C₂²×D₄₃	—	4	8	no	—
534	C₂²×D₄₃	—	4	32	no	—
535	C₂²×D₄₃	2₋¹⁺⁴	1	4	yes	—
536	C₂²×D₄₃	C₂⁵	1	4	yes	—
537	C₂²×D₄₃	C₂⁵	1	2	yes	—
538	C₂²×D₄₃	C₂⁵	1	2	yes	—
539	Q₈×C₄₃	—	2	8	no	—
540	D₄×C₄₃	—	2	16	no	—
541	D₄×C₄₃	C₂×#41	1	16	yes	complemented
542	C₂×C₄×C₄₃	—	2	2	no	—
543	C₂×C₄×C₄₃	—	2	4	no	—
544	C₂×C₄×C₄₃	—	2	16	no	—
545	C₂×C₄×C₄₃	—	2	2	no	—
546	C₂×C₄×C₄₃	—	2	4	no	—
547	C₂×C₄×C₄₃	—	2	2	no	—
548	C₂×C₄×C₄₃	—	2	4	no	—
549	C₂×C₄×C₄₃	—	2	2	no	—
550	C₂×C₄×C₄₃	—	2	2	no	—
551	C₂×C₄×C₄₃	—	2	8	no	—
552	C₂×C₄×C₄₃	—	4	8	no	—
553	C₂×C₄×C₄₃	—	4	8	no	—
554	C₂×C₄×C₄₃	—	4	8	no	—
555	C₂×C₄×C₄₃	C₂×#41	1	4	yes	—
556	C₂×C₄×C₄₃	C₂⁵	1	2	yes	—
557	C₂×C₄×C₄₃	C₂⁵	1	2	yes	—
558	C₂×C₄×C₄₃	C₂⁵	1	4	yes	—
559	C₂×C₄×C₄₃	C₂⁵	1	4	yes	—
560	C₂×C₄×C₄₃	C₂⁵	1	2	yes	—
561	C₂×C₄×C₄₃	C₂⁵	1	2	yes	—
562	C₂×C₄×C₄₃	C₂⁵	1	4	yes	—
563	C₂×C₄×C₄₃	C₂⁵	1	2	yes	—
564	C₂×C₄×C₄₃	C₂⁵	1	2	yes	—
565	C₂²⋊D₄₃	—	2	16	no	—
566	C₂²⋊D₄₃	—	2	16	no	—
567	C₂²⋊D₄₃	—	2	8	no	—
568	C₂²⋊D₄₃	—	2	8	no	—
569	C₂²⋊D₄₃	—	4	8	no	—
570	C₂×Dic₄₃	—	2	4	no	—
571	C₂×Dic₄₃	—	2	2	no	—
572	C₂×Dic₄₃	—	2	2	no	—
573	C₂×Dic₄₃	—	2	16	no	—
574	C₂×Dic₄₃	—	2	2	no	—
575	C₂×Dic₄₃	—	2	4	no	—
576	C₂×Dic₄₃	—	2	4	no	—
577	C₂×Dic₄₃	—	2	2	no	—
578	C₂×Dic₄₃	—	2	2	no	—
579	C₂×Dic₄₃	—	2	16	no	—
580	C₂×Dic₄₃	—	4	8	no	—
581	C₂×Dic₄₃	H(5,𝔽₂)	1	4	yes	—
582	C₂×Dic₄₃	C₂⁵	1	2	yes	—
583	C₂×Dic₄₃	C₂⁵	1	2	yes	—
584	C₂×Dic₄₃	C₂⁵	1	2	yes	—
585	C₂×Dic₄₃	C₂⁵	1	4	yes	—
586	C₂×Dic₄₃	C₂⁵	1	4	yes	—
587	C₂×Dic₄₃	C₂⁵	1	2	yes	—
588	C₂×Dic₄₃	C₂⁵	1	2	yes	—
589	C₂×Dic₄₃	C₂⁵	1	4	yes	—
590	C₂×Dic₄₃	C₂⁵	1	2	yes	—
591	D₁₇₂	—	2	8	no	—
592	D₁₇₂	—	2	8	no	—
593	D₁₇₂	—	4	8	no	—
594	C₄×D₄₃	—	2	8	no	—
595	C₄×D₄₃	—	2	8	no	—
596	C₄×D₄₃	—	2	8	no	—
597	C₄×D₄₃	—	2	8	no	—
598	C₄×D₄₃	—	2	16	no	—
599	C₄×D₄₃	—	4	8	no	—
600	C₄×D₄₃	—	4	8	no	—
601	C₄×D₄₃	—	4	8	no	—
602	Dic₈₆	—	2	8	no	—
603	Dic₈₆	—	2	8	no	—
604	Dic₈₆	—	2	16	no	—
605	Dic₈₆	—	4	8	no	—
606	Dic₈₆	—	4	8	no	—
607	C₂×#3520	—	43	1	no	maximal, Sylow
608	C₂²×C₄₃	—	2	4	no	—
609	C₂²×C₄₃	—	2	4	no	—
610	C₂²×C₄₃	—	2	16	no	—
611	C₂²×C₄₃	—	2	2	no	—
612	C₂²×C₄₃	—	2	2	no	—
613	C₂²×C₄₃	—	2	2	no	—
614	C₂²×C₄₃	—	4	4	no	—
615	C₂²×C₄₃	C₂²×#41	1	8	yes	—
616	C₂²×C₄₃	C₂²×#41	1	2	yes	—
617	C₂²×C₄₃	C₂×H(5,𝔽₂)	1	2	yes	—
618	C₂²×C₄₃	C₂×2₋¹⁺⁴	1	2	yes	—
619	C₂²×C₄₃	C₂⁶	1	1	yes	characteristic
620	C₂×D₄₃	—	2	2	no	—
621	C₂×D₄₃	—	2	2	no	—
622	C₂×D₄₃	—	2	8	no	—
623	C₂×D₄₃	—	2	4	no	—
624	C₂×D₄₃	—	2	2	no	—
625	C₂×D₄₃	—	2	4	no	—
626	C₂×D₄₃	—	2	2	no	—
627	C₂×D₄₃	—	2	4	no	—
628	C₂×D₄₃	—	2	2	no	—
629	C₂×D₄₃	—	4	32	no	—
630	C₂×D₄₃	—	4	4	no	—
631	C₂×D₄₃	—	4	8	no	—
632	C₂×D₄₃	C₂×2₋¹⁺⁴	1	4	yes	—
633	C₄×C₄₃	—	2	2	no	—
634	C₄×C₄₃	—	2	4	no	—
635	C₄×C₄₃	—	2	2	no	—
636	C₄×C₄₃	—	2	4	no	—
637	C₄×C₄₃	—	2	2	no	—
638	C₄×C₄₃	—	2	4	no	—
639	C₄×C₄₃	—	2	2	no	—
640	C₄×C₄₃	—	2	2	no	—
641	C₄×C₄₃	C₂²×#41	1	4	yes	—
642	Dic₄₃	—	2	4	no	—
643	Dic₄₃	—	2	2	no	—
644	Dic₄₃	—	2	2	no	—
645	Dic₄₃	—	2	2	no	—
646	Dic₄₃	—	2	4	no	—
647	Dic₄₃	—	2	4	no	—
648	Dic₄₃	—	2	2	no	—
649	Dic₄₃	—	2	2	no	—
650	Dic₄₃	C₂×H(5,𝔽₂)	1	4	yes	—
651	#3520	—	43	32	no	—
652	C₂×#556	—	43	1	no	—
653	C₂×#554	—	43	1	no	—
654	C₂×#554	—	43	1	no	—
655	C₂×#552	—	43	2	no	—
656	C₂×#551	—	43	2	no	—
657	C₂×#551	—	43	2	no	—
658	C₂×D₄×Q₈	—	43	1	no	—
659	C₂×#548	—	43	2	no	—
660	C₂×#547	—	43	1	no	—
661	C₂×#547	—	43	1	no	—
662	C₂×#546	—	43	1	no	—
663	C₂×#546	—	43	1	no	—
664	C₂×#542	—	43	1	no	—
665	C₂×#542	—	43	1	no	—
666	C₂×#539	—	43	2	no	—
667	C₂×#539	—	43	2	no	—
668	C₂×#533	—	43	1	no	—
669	C₂×#529	—	43	1	no	—
670	C₂×#525	—	43	2	no	—
671	C₂²×C₂²⋊Q₈	—	43	2	no	—
672	C₂×#520	—	43	1	no	—
673	C₂×#520	D₄₃	1	1	yes	characteristic, complemented
674	C₂²×C₄×D₄	—	43	1	no	—
675	C₂×C₄₃	—	2	8	no	—
676	C₂×C₄₃	—	4	2	no	—
677	C₂×C₄₃	#3520	1	4	yes	complemented
678	C₂×C₄₃	C₂³×#41	1	1	yes	characteristic
679	C₂×C₄₃	C₂²×H(5,𝔽₂)	1	1	yes	characteristic
680	C₂×C₄₃	C₂²×2₋¹⁺⁴	1	1	yes	characteristic
681	D₄₃	—	2	4	no	—
682	D₄₃	—	4	2	no	—
683	D₄₃	—	4	4	no	—
684	C₂²×#41	—	43	1	no	—
685	C₂²×#41	—	43	2	no	—
686	C₂²×#41	C₂×D₄₃	1	1	yes	characteristic
687	C₂³×Q₈	—	43	2	no	—
688	C₂³×D₄	—	43	1	no	—
689	C₂⁴×C₄	—	43	2	no	—
690	#556	—	43	16	no	—
691	#554	—	43	16	no	—
692	#554	—	43	16	no	—
693	#552	—	43	32	no	—
694	#551	—	43	32	no	—
695	#551	—	43	32	no	—
696	D₄×Q₈	—	43	16	no	—
697	#548	—	43	32	no	—
698	#547	—	43	16	no	—
699	#547	—	43	16	no	—
700	#546	—	43	16	no	—
701	#546	—	43	16	no	—
702	#542	—	43	16	no	—
703	#542	—	43	16	no	—
704	#539	—	43	32	no	—
705	#539	—	43	32	no	—
706	#533	—	43	16	no	—
707	C₂×C₄⋊Q₈	—	43	1	no	—
708	C₂×C₄⋊Q₈	—	43	1	no	—
709	C₂×C₄⋊Q₈	—	43	1	no	—
710	C₂×C₄⋊Q₈	—	43	1	no	—
711	#529	—	43	16	no	—
712	C₂×#126	—	43	1	no	—
713	C₂×#126	—	43	2	no	—
714	C₂×#126	—	43	2	no	—
715	C₂×#126	—	43	1	no	—
716	C₂×#126	—	43	2	no	—
717	C₂×#126	—	43	2	no	—
718	C₂×#125	—	43	1	no	—
719	C₂×#125	—	43	2	no	—
720	C₂×#125	—	43	2	no	—
721	C₂×#125	—	43	2	no	—
722	C₂×#124	—	43	1	no	—
723	C₂×#124	—	43	1	no	—
724	C₂×#124	—	43	2	no	—
725	C₂×#124	—	43	1	no	—
726	C₂×#124	—	43	2	no	—
727	#525	—	43	32	no	—
728	C₂×#123	—	43	2	no	—
729	C₂×#123	—	43	2	no	—
730	C₂×#123	—	43	2	no	—
731	C₂×#123	—	43	2	no	—
732	C₂×#123	—	43	2	no	—
733	C₂×#123	—	43	1	no	—
734	C₂×#123	—	43	2	no	—
735	C₂×#123	—	43	1	no	—
736	C₂×#123	—	43	2	no	—
737	C₂×#123	—	43	2	no	—
738	C₂×C₂²⋊Q₈	—	43	1	no	—
739	C₂×C₂²⋊Q₈	—	43	1	no	—
740	C₂×C₂²⋊Q₈	—	43	2	no	—
741	C₂×C₂²⋊Q₈	—	43	2	no	—
742	C₂×C₂²⋊Q₈	—	43	1	no	—
743	C₂×C₂²⋊Q₈	—	43	1	no	—
744	C₂×C₂²⋊Q₈	—	43	2	no	—
745	C₂×C₂²⋊Q₈	—	43	2	no	—
746	C₂×C₂²⋊Q₈	—	43	2	no	—
747	C₂×C₂²⋊Q₈	—	43	2	no	—
748	C₂×C₂²⋊Q₈	—	43	2	no	—
749	C₂×C₂²⋊Q₈	—	43	2	no	—
750	C₂×C₂²⋊Q₈	—	43	2	no	—
751	C₂×C₂²⋊Q₈	—	43	2	no	—
752	C₂×C₂²⋊Q₈	—	43	1	no	—
753	C₂×C₂²⋊Q₈	—	43	32	no	—
754	C₂×C₂²⋊Q₈	—	43	2	no	—
755	C₂×C₂²⋊Q₈	—	43	2	no	—
756	C₂×#121	—	43	2	no	—
757	C₂×#121	—	43	2	no	—
758	C₂×#121	—	43	2	no	—
759	C₂×#121	—	43	1	no	—
760	C₂×#121	—	43	1	no	—
761	C₂×#121	—	43	1	no	—
762	C₂×#120	—	43	2	no	—
763	C₂×#120	—	43	2	no	—
764	#520	—	43	16	no	—
765	#520	C₂×D₄₃	1	16	yes	complemented
766	C₂×C₄×Q₈	—	43	1	no	—
767	C₂×C₄×Q₈	—	43	1	no	—
768	C₂×C₄×Q₈	—	43	1	no	—
769	C₂×C₄×Q₈	—	43	2	no	—
770	C₂×C₄×Q₈	C₂×D₄₃	1	1	yes	characteristic, complemented
771	C₂×C₄×Q₈	C₂×D₄₃	1	1	yes	characteristic, complemented
772	C₂×C₄×D₄	—	43	1	no	—
773	C₂×C₄×D₄	—	43	1	no	—
774	C₂×C₄×D₄	—	43	2	no	—
775	C₂×C₄×D₄	—	43	2	no	—
776	C₂×C₄×D₄	—	43	1	no	—
777	C₂×C₄×D₄	—	43	2	no	—
778	C₂×C₄×D₄	—	43	1	no	—
779	C₂×C₄×D₄	—	43	16	no	—
780	C₂×C₄×D₄	—	43	1	no	—
781	C₂×C₄×D₄	—	43	2	no	—
782	C₂×C₄×D₄	—	43	2	no	—
783	C₂×C₄×D₄	—	43	1	no	—
784	C₂×C₄×D₄	—	43	2	no	—
785	C₂×C₄×D₄	—	43	1	no	—
786	C₂×C₄×D₄	C₂×D₄₃	1	1	yes	characteristic
787	C₂×C₄×D₄	C₂×D₄₃	1	1	yes	characteristic
788	C₂×C₄×D₄	C₂×D₄₃	1	2	yes	complemented
789	C₂×C₄×D₄	C₂×D₄₃	1	2	yes	complemented
790	C₂×#117	—	43	2	no	—
791	C₂×#117	—	43	2	no	—
792	C₂×#117	—	43	1	no	—
793	C₂×#117	—	43	2	no	—
794	C₂×#117	C₂×D₄₃	1	1	yes	characteristic, complemented
795	C₂×#117	C₂×D₄₃	1	2	yes	complemented
796	C₂²×C₄⋊C₄	—	43	2	no	—
797	C₂²×C₄⋊C₄	—	43	2	no	—
798	C₂²×C₄⋊C₄	—	43	1	no	—
799	C₂²×C₄⋊C₄	—	43	1	no	—
800	C₂²×C₄⋊C₄	C₂×D₄₃	1	2	yes	complemented
801	C₂²×C₄⋊C₄	C₂×D₄₃	1	1	yes	characteristic, complemented
802	C₂²×C₂²⋊C₄	—	43	2	no	—
803	C₂²×C₂²⋊C₄	—	43	2	no	—
804	C₂²×C₂²⋊C₄	—	43	2	no	—
805	C₂²×C₄²	—	43	1	no	—
806	C₄₃	C₂×#3520	1	1	yes	characteristic, complemented, Sylow
807	C₂⁵	—	43	2	no	—
808	C₂×#41	—	2	8	no	—
809	C₂×#41	—	43	8	no	—
810	C₂×#41	—	43	16	no	—
811	C₂×#41	—	86	8	no	—
812	C₂×#41	—	172	8	no	—
813	C₂×#41	C₂²×D₄₃	1	8	yes	—
814	C₂²×Q₈	—	43	1	no	—
815	C₂²×Q₈	—	43	1	no	—
816	C₂²×Q₈	—	43	2	no	—
817	C₂²×Q₈	—	43	2	no	—
818	C₂²×Q₈	—	43	2	no	—
819	C₂²×Q₈	—	43	16	no	—
820	C₂²×Q₈	—	172	8	no	—
821	C₂²×Q₈	C₂²×D₄₃	1	1	yes	characteristic
822	C₂²×D₄	—	43	1	no	—
823	C₂²×D₄	—	43	2	no	—
824	C₂²×D₄	—	43	2	no	—
825	C₂²×D₄	—	43	1	no	—
826	C₂²×D₄	—	43	2	no	—
827	C₂²×D₄	—	43	8	no	—
828	C₂²×D₄	—	43	1	no	—
829	C₂²×D₄	—	43	1	no	—
830	C₂²×D₄	—	43	2	no	—
831	C₂²×D₄	—	86	8	no	—
832	C₂²×D₄	C₂²×D₄₃	1	2	yes	—
833	C₂²×D₄	C₂²×D₄₃	1	1	yes	characteristic
834	C₂³×C₄	—	43	2	no	—
835	C₂³×C₄	—	43	2	no	—
836	C₂³×C₄	—	43	2	no	—
837	C₂³×C₄	—	43	1	no	—
838	C₂³×C₄	—	43	1	no	—
839	C₂³×C₄	—	43	1	no	—
840	C₂³×C₄	—	43	2	no	—
841	C₂³×C₄	—	43	1	no	—
842	C₂³×C₄	—	43	2	no	—
843	C₂³×C₄	—	43	2	no	—
844	C₂³×C₄	—	43	2	no	—
845	C₂³×C₄	—	43	16	no	—
846	C₂³×C₄	—	172	8	no	—
847	C₂³×C₄	C₂²×D₄₃	1	2	yes	—
848	C₂³×C₄	C₂²×D₄₃	1	1	yes	characteristic
849	C₂³×C₄	C₂²×D₄₃	1	2	yes	—
850	C₂³×C₄	C₂²×D₄₃	1	2	yes	—
851	C₂³×C₄	C₂²×D₄₃	1	2	yes	—
852	C₄⋊Q₈	—	43	8	no	—
853	C₄⋊Q₈	—	43	8	no	—
854	C₄⋊Q₈	—	43	8	no	—
855	C₄⋊Q₈	—	43	8	no	—
856	#126	—	43	8	no	—
857	#126	—	43	16	no	—
858	#126	—	43	16	no	—
859	#126	—	43	8	no	—
860	#126	—	43	16	no	—
861	#126	—	43	16	no	—
862	#125	—	43	8	no	—
863	#125	—	43	16	no	—
864	#125	—	43	16	no	—
865	#125	—	43	16	no	—
866	#124	—	43	8	no	—
867	#124	—	43	8	no	—
868	#124	—	43	16	no	—
869	#124	—	43	8	no	—
870	#124	—	43	16	no	—
871	#123	—	43	16	no	—
872	#123	—	43	16	no	—
873	#123	—	43	16	no	—
874	#123	—	43	16	no	—
875	#123	—	43	16	no	—
876	#123	—	43	8	no	—
877	#123	—	43	16	no	—
878	#123	—	43	16	no	—
879	#123	—	43	8	no	—
880	#123	—	43	16	no	—
881	C₂²⋊Q₈	—	43	8	no	—
882	C₂²⋊Q₈	—	43	8	no	—
883	C₂²⋊Q₈	—	43	16	no	—
884	C₂²⋊Q₈	—	43	16	no	—
885	C₂²⋊Q₈	—	43	8	no	—
886	C₂²⋊Q₈	—	43	8	no	—
887	C₂²⋊Q₈	—	43	16	no	—
888	C₂²⋊Q₈	—	43	16	no	—
889	C₂²⋊Q₈	—	43	16	no	—
890	C₂²⋊Q₈	—	43	16	no	—
891	C₂²⋊Q₈	—	43	16	no	—
892	C₂²⋊Q₈	—	43	16	no	—
893	C₂²⋊Q₈	—	43	16	no	—
894	C₂²⋊Q₈	—	43	8	no	—
895	C₂²⋊Q₈	—	43	16	no	—
896	C₂²⋊Q₈	—	43	16	no	—
897	C₂²⋊Q₈	—	43	16	no	—
898	#121	—	43	16	no	—
899	#121	—	43	16	no	—
900	#121	—	43	16	no	—
901	#121	—	43	8	no	—
902	#121	—	43	8	no	—
903	#121	—	43	8	no	—
904	#120	—	43	16	no	—
905	#120	—	43	16	no	—
906	C₄×Q₈	—	43	8	no	—
907	C₄×Q₈	—	43	8	no	—
908	C₄×Q₈	—	43	8	no	—
909	C₄×Q₈	—	43	16	no	—
910	C₄×Q₈	C₂²×D₄₃	1	8	yes	complemented
911	C₄×Q₈	C₂²×D₄₃	1	8	yes	complemented
912	C₄×D₄	—	43	8	no	—
913	C₄×D₄	—	43	8	no	—
914	C₄×D₄	—	43	16	no	—
915	C₄×D₄	—	43	16	no	—
916	C₄×D₄	—	43	16	no	—
917	C₄×D₄	—	43	8	no	—
918	C₄×D₄	—	43	8	no	—
919	C₄×D₄	—	43	8	no	—
920	C₄×D₄	—	43	16	no	—
921	C₄×D₄	—	43	16	no	—
922	C₄×D₄	—	43	8	no	—
923	C₄×D₄	—	43	16	no	—
924	C₄×D₄	—	43	8	no	—
925	C₄×D₄	C₂²×D₄₃	1	8	yes	—
926	C₄×D₄	C₂²×D₄₃	1	8	yes	—
927	C₄×D₄	C₂²×D₄₃	1	16	yes	complemented
928	C₄×D₄	C₂²×D₄₃	1	16	yes	complemented
929	#117	—	43	16	no	—
930	#117	—	43	8	no	—
931	#117	—	43	16	no	—
932	#117	—	43	16	no	—
933	#117	C₂²×D₄₃	1	8	yes	complemented
934	#117	C₂²×D₄₃	1	16	yes	complemented
935	C₂×C₄⋊C₄	—	43	1	no	—
936	C₂×C₄⋊C₄	—	43	2	no	—
937	C₂×C₄⋊C₄	—	43	1	no	—
938	C₂×C₄⋊C₄	—	43	2	no	—
939	C₂×C₄⋊C₄	—	43	2	no	—
940	C₂×C₄⋊C₄	—	43	1	no	—
941	C₂×C₄⋊C₄	—	43	1	no	—
942	C₂×C₄⋊C₄	—	43	2	no	—
943	C₂×C₄⋊C₄	—	43	2	no	—
944	C₂×C₄⋊C₄	—	43	16	no	—
945	C₂×C₄⋊C₄	—	43	2	no	—
946	C₂×C₄⋊C₄	—	43	2	no	—
947	C₂×C₄⋊C₄	—	43	16	no	—
948	C₂×C₄⋊C₄	—	43	1	no	—
949	C₂×C₄⋊C₄	—	43	1	no	—
950	C₂×C₄⋊C₄	—	43	2	no	—
951	C₂×C₄⋊C₄	—	43	2	no	—
952	C₂×C₄⋊C₄	—	43	2	no	—
953	C₂×C₄⋊C₄	—	43	2	no	—
954	C₂×C₄⋊C₄	—	43	1	no	—
955	C₂×C₄⋊C₄	—	43	1	no	—
956	C₂×C₄⋊C₄	—	43	2	no	—
957	C₂×C₄⋊C₄	—	43	2	no	—
958	C₂×C₄⋊C₄	—	43	1	no	—
959	C₂×C₄⋊C₄	—	43	1	no	—
960	C₂×C₄⋊C₄	—	43	8	no	—
961	C₂×C₄⋊C₄	—	43	8	no	—
962	C₂×C₄⋊C₄	C₂²×D₄₃	1	1	yes	characteristic
963	C₂×C₄⋊C₄	C₂²×D₄₃	1	1	yes	characteristic
964	C₂×C₄⋊C₄	C₂²×D₄₃	1	2	yes	—
965	C₂×C₄⋊C₄	C₂²×D₄₃	1	1	yes	characteristic
966	C₂×C₄⋊C₄	C₂²×D₄₃	1	2	yes	—
967	C₂×C₄⋊C₄	C₂²×D₄₃	1	2	yes	—
968	C₂×C₄⋊C₄	C₂²×D₄₃	1	1	yes	characteristic
969	C₂×C₄⋊C₄	C₂²×D₄₃	1	16	yes	complemented
970	C₂×C₄⋊C₄	C₂²×D₄₃	1	8	yes	complemented
971	C₂×C₂²⋊C₄	—	43	2	no	—
972	C₂×C₂²⋊C₄	—	43	2	no	—
973	C₂×C₂²⋊C₄	—	43	1	no	—
974	C₂×C₂²⋊C₄	—	43	2	no	—
975	C₂×C₂²⋊C₄	—	43	1	no	—
976	C₂×C₂²⋊C₄	—	43	1	no	—
977	C₂×C₂²⋊C₄	—	43	1	no	—
978	C₂×C₂²⋊C₄	—	43	2	no	—
979	C₂×C₂²⋊C₄	—	43	2	no	—
980	C₂×C₂²⋊C₄	—	43	2	no	—
981	C₂×C₂²⋊C₄	—	43	2	no	—
982	C₂×C₂²⋊C₄	—	43	2	no	—
983	C₂×C₂²⋊C₄	—	43	2	no	—
984	C₂×C₂²⋊C₄	—	43	2	no	—
985	C₂×C₂²⋊C₄	—	43	2	no	—
986	C₂×C₂²⋊C₄	—	43	16	no	—
987	C₂×C₂²⋊C₄	—	43	16	no	—
988	C₂×C₂²⋊C₄	—	43	1	no	—
989	C₂×C₂²⋊C₄	—	43	1	no	—
990	C₂×C₂²⋊C₄	—	43	2	no	—
991	C₂×C₂²⋊C₄	—	43	2	no	—
992	C₂×C₂²⋊C₄	—	43	1	no	—
993	C₂×C₂²⋊C₄	—	43	2	no	—
994	C₂×C₂²⋊C₄	—	43	1	no	—
995	C₂×C₂²⋊C₄	—	43	16	no	—
996	C₂×C₂²⋊C₄	C₂²×D₄₃	1	2	yes	—
997	C₂×C₂²⋊C₄	C₂²×D₄₃	1	2	yes	—
998	C₂×C₂²⋊C₄	C₂²×D₄₃	1	1	yes	characteristic
999	C₂×C₂²⋊C₄	C₂²×D₄₃	1	1	yes	characteristic
1000	C₂×C₄²	—	43	2	no	—
1001	C₂×C₄²	—	43	2	no	—
1002	C₂×C₄²	—	43	1	no	—
1003	C₂×C₄²	—	43	1	no	—
1004	C₂×C₄²	—	43	1	no	—
1005	C₂×C₄²	—	43	1	no	—
1006	C₂×C₄²	—	43	8	no	—
1007	C₂×C₄²	C₂²×D₄₃	1	1	yes	characteristic
1008	C₂×C₄²	C₂²×D₄₃	1	2	yes	—
1009	C₂×C₄²	C₂²×D₄₃	1	2	yes	—
1010	C₂×C₄²	C₂²×D₄₃	1	1	yes	characteristic
1011	C₂⁴	—	43	1	no	—
1012	C₂⁴	—	43	2	no	—
1013	C₂⁴	—	43	1	no	—
1014	C₂⁴	—	43	8	no	—
1015	C₂⁴	—	86	8	no	—
1016	C₂⁴	—	86	8	no	—
1017	C₂⁴	—	172	4	no	—
1018	C₂⁴	C₂³×D₄₃	1	1	yes	characteristic
1019	C₂⁴	C₂³×D₄₃	1	2	yes	—
1020	#41	—	2	32	no	—
1021	#41	—	86	32	no	—
1022	#41	—	172	32	no	—
1023	C₂×Q₈	—	2	4	no	—
1024	C₂×Q₈	—	43	4	no	—
1025	C₂×Q₈	—	43	4	no	—
1026	C₂×Q₈	—	43	8	no	—
1027	C₂×Q₈	—	43	8	no	—
1028	C₂×Q₈	—	43	8	no	—
1029	C₂×Q₈	—	86	4	no	—
1030	C₂×Q₈	—	86	8	no	—
1031	C₂×Q₈	—	86	4	no	—
1032	C₂×Q₈	—	172	4	no	—
1033	C₂×Q₈	—	172	4	no	—
1034	C₂×Q₈	—	172	32	no	—
1035	C₂×Q₈	C₂³×D₄₃	1	4	yes	—
1036	C₂×D₄	—	2	8	no	—
1037	C₂×D₄	—	43	4	no	—
1038	C₂×D₄	—	43	8	no	—
1039	C₂×D₄	—	43	8	no	—
1040	C₂×D₄	—	43	4	no	—
1041	C₂×D₄	—	43	8	no	—
1042	C₂×D₄	—	43	4	no	—
1043	C₂×D₄	—	43	4	no	—
1044	C₂×D₄	—	43	8	no	—
1045	C₂×D₄	—	86	4	no	—
1046	C₂×D₄	—	86	4	no	—
1047	C₂×D₄	—	86	4	no	—
1048	C₂×D₄	—	86	8	no	—
1049	C₂×D₄	—	86	8	no	—
1050	C₂×D₄	—	86	32	no	—
1051	C₂×D₄	—	86	4	no	—
1052	C₂×D₄	—	172	4	no	—
1053	C₂×D₄	—	172	4	no	—
1054	C₂×D₄	#10621898	1	8	yes	complemented
1055	C₂×D₄	C₂³×D₄₃	1	8	yes	—
1056	C₂×D₄	C₂³×D₄₃	1	4	yes	—
1057	C₂²×C₄	—	2	8	no	—
1058	C₂²×C₄	—	2	4	no	—
1059	C₂²×C₄	—	4	4	no	—
1060	C₂²×C₄	—	4	4	no	—
1061	C₂²×C₄	—	4	4	no	—
1062	C₂²×C₄	—	43	1	no	—
1063	C₂²×C₄	—	43	8	no	—
1064	C₂²×C₄	—	43	8	no	—
1065	C₂²×C₄	—	43	1	no	—
1066	C₂²×C₄	—	43	1	no	—
1067	C₂²×C₄	—	43	2	no	—
1068	C₂²×C₄	—	43	1	no	—
1069	C₂²×C₄	—	43	1	no	—
1070	C₂²×C₄	—	43	2	no	—
1071	C₂²×C₄	—	43	1	no	—
1072	C₂²×C₄	—	43	2	no	—
1073	C₂²×C₄	—	43	8	no	—
1074	C₂²×C₄	—	43	4	no	—
1075	C₂²×C₄	—	43	4	no	—
1076	C₂²×C₄	—	43	4	no	—
1077	C₂²×C₄	—	43	4	no	—
1078	C₂²×C₄	—	43	8	no	—
1079	C₂²×C₄	—	43	8	no	—
1080	C₂²×C₄	—	43	8	no	—
1081	C₂²×C₄	—	43	8	no	—
1082	C₂²×C₄	—	86	4	no	—
1083	C₂²×C₄	—	86	8	no	—
1084	C₂²×C₄	—	86	4	no	—
1085	C₂²×C₄	—	86	8	no	—
1086	C₂²×C₄	—	86	8	no	—
1087	C₂²×C₄	—	86	4	no	—
1088	C₂²×C₄	—	86	4	no	—
1089	C₂²×C₄	—	172	4	no	—
1090	C₂²×C₄	—	172	4	no	—
1091	C₂²×C₄	—	172	4	no	—
1092	C₂²×C₄	—	172	32	no	—
1093	C₂²×C₄	—	172	4	no	—
1094	C₂²×C₄	C₂³×D₄₃	1	8	yes	—
1095	C₂²×C₄	C₂³×D₄₃	1	4	yes	—
1096	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
1097	C₂²×C₄	C₂³×D₄₃	1	2	yes	—
1098	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
1099	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
1100	C₂²×C₄	C₂³×D₄₃	1	2	yes	—
1101	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
1102	C₂²×C₄	C₂³×D₄₃	1	2	yes	—
1103	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
1104	C₂²×C₄	C₂³×D₄₃	1	8	yes	—
1105	C₂²×C₄	C₂³×D₄₃	1	8	yes	—
1106	C₂²×C₄	C₂³×D₄₃	1	8	yes	—
1107	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
1108	C₄⋊C₄	—	43	4	no	—
1109	C₄⋊C₄	—	43	8	no	—
1110	C₄⋊C₄	—	43	4	no	—
1111	C₄⋊C₄	—	43	8	no	—
1112	C₄⋊C₄	—	43	8	no	—
1113	C₄⋊C₄	—	43	4	no	—
1114	C₄⋊C₄	—	43	4	no	—
1115	C₄⋊C₄	—	43	8	no	—
1116	C₄⋊C₄	—	43	8	no	—
1117	C₄⋊C₄	—	43	8	no	—
1118	C₄⋊C₄	—	43	8	no	—
1119	C₄⋊C₄	—	43	4	no	—
1120	C₄⋊C₄	—	43	4	no	—
1121	C₄⋊C₄	—	43	8	no	—
1122	C₄⋊C₄	—	43	8	no	—
1123	C₄⋊C₄	—	43	8	no	—
1124	C₄⋊C₄	—	43	8	no	—
1125	C₄⋊C₄	—	43	4	no	—
1126	C₄⋊C₄	—	43	4	no	—
1127	C₄⋊C₄	—	43	8	no	—
1128	C₄⋊C₄	—	43	8	no	—
1129	C₄⋊C₄	—	43	4	no	—
1130	C₄⋊C₄	—	43	4	no	—
1131	C₄⋊C₄	C₂³×D₄₃	1	4	yes	—
1132	C₄⋊C₄	C₂³×D₄₃	1	4	yes	—
1133	C₄⋊C₄	C₂³×D₄₃	1	8	yes	—
1134	C₄⋊C₄	C₂³×D₄₃	1	4	yes	—
1135	C₄⋊C₄	C₂³×D₄₃	1	8	yes	—
1136	C₄⋊C₄	C₂³×D₄₃	1	8	yes	—
1137	C₄⋊C₄	C₂³×D₄₃	1	4	yes	—
1138	C₂²⋊C₄	—	43	8	no	—
1139	C₂²⋊C₄	—	43	8	no	—
1140	C₂²⋊C₄	—	43	4	no	—
1141	C₂²⋊C₄	—	43	8	no	—
1142	C₂²⋊C₄	—	43	4	no	—
1143	C₂²⋊C₄	—	43	4	no	—
1144	C₂²⋊C₄	—	43	4	no	—
1145	C₂²⋊C₄	—	43	8	no	—
1146	C₂²⋊C₄	—	43	8	no	—
1147	C₂²⋊C₄	—	43	8	no	—
1148	C₂²⋊C₄	—	43	8	no	—
1149	C₂²⋊C₄	—	43	8	no	—
1150	C₂²⋊C₄	—	43	8	no	—
1151	C₂²⋊C₄	—	43	8	no	—
1152	C₂²⋊C₄	—	43	8	no	—
1153	C₂²⋊C₄	—	43	4	no	—
1154	C₂²⋊C₄	—	43	4	no	—
1155	C₂²⋊C₄	—	43	8	no	—
1156	C₂²⋊C₄	—	43	8	no	—
1157	C₂²⋊C₄	—	43	4	no	—
1158	C₂²⋊C₄	—	43	8	no	—
1159	C₂²⋊C₄	—	43	4	no	—
1160	C₂²⋊C₄	C₂³×D₄₃	1	8	yes	—
1161	C₂²⋊C₄	C₂³×D₄₃	1	8	yes	—
1162	C₂²⋊C₄	C₂³×D₄₃	1	4	yes	—
1163	C₂²⋊C₄	C₂³×D₄₃	1	4	yes	—
1164	C₄²	—	43	4	no	—
1165	C₄²	—	43	4	no	—
1166	C₄²	—	43	4	no	—
1167	C₄²	—	43	8	no	—
1168	C₄²	—	43	8	no	—
1169	C₄²	—	43	4	no	—
1170	C₄²	C₂³×D₄₃	1	4	yes	—
1171	C₄²	C₂³×D₄₃	1	8	yes	—
1172	C₄²	C₂³×D₄₃	1	8	yes	—
1173	C₄²	C₂³×D₄₃	1	4	yes	—
1174	C₂³	—	2	4	no	—
1175	C₂³	—	2	4	no	—
1176	C₂³	—	2	2	no	—
1177	C₂³	—	2	2	no	—
1178	C₂³	—	2	2	no	—
1179	C₂³	—	43	4	no	—
1180	C₂³	—	43	2	no	—
1181	C₂³	—	43	4	no	—
1182	C₂³	—	43	2	no	—
1183	C₂³	—	86	16	no	—
1184	C₂³	—	86	2	no	—
1185	C₂³	—	86	2	no	—
1186	C₂³	—	86	2	no	—
1187	C₂³	—	86	16	no	—
1188	C₂³	—	86	4	no	—
1189	C₂³	—	86	4	no	—
1190	C₂³	—	86	2	no	—
1191	C₂³	—	86	2	no	—
1192	C₂³	—	86	4	no	—
1193	C₂³	—	172	8	no	—
1194	C₂³	—	172	32	no	—
1195	C₂³	C₂×#10621898	1	8	yes	—
1196	C₂³	C₂⁴×D₄₃	1	2	yes	—
1197	C₂³	C₂⁴×D₄₃	1	4	yes	—
1198	C₂³	C₂⁴×D₄₃	1	1	yes	characteristic
1199	Q₈	—	2	8	no	—
1200	Q₈	—	86	8	no	—
1201	Q₈	—	86	16	no	—
1202	Q₈	—	86	8	no	—
1203	Q₈	—	172	8	no	—
1204	Q₈	—	172	8	no	—
1205	D₄	—	2	16	no	—
1206	D₄	—	86	8	no	—
1207	D₄	—	86	8	no	—
1208	D₄	—	86	8	no	—
1209	D₄	—	86	16	no	—
1210	D₄	—	86	16	no	—
1211	D₄	—	86	8	no	—
1212	D₄	—	172	8	no	—
1213	D₄	—	172	8	no	—
1214	D₄	C₂×#10621898	1	16	yes	complemented
1215	C₂×C₄	—	2	2	no	—
1216	C₂×C₄	—	2	4	no	—
1217	C₂×C₄	—	2	16	no	—
1218	C₂×C₄	—	2	2	no	—
1219	C₂×C₄	—	2	4	no	—
1220	C₂×C₄	—	2	4	no	—
1221	C₂×C₄	—	2	2	no	—
1222	C₂×C₄	—	2	2	no	—
1223	C₂×C₄	—	2	2	no	—
1224	C₂×C₄	—	2	8	no	—
1225	C₂×C₄	—	4	8	no	—
1226	C₂×C₄	—	4	8	no	—
1227	C₂×C₄	—	4	8	no	—
1228	C₂×C₄	—	43	4	no	—
1229	C₂×C₄	—	43	2	no	—
1230	C₂×C₄	—	43	2	no	—
1231	C₂×C₄	—	43	2	no	—
1232	C₂×C₄	—	43	4	no	—
1233	C₂×C₄	—	43	2	no	—
1234	C₂×C₄	—	43	2	no	—
1235	C₂×C₄	—	43	4	no	—
1236	C₂×C₄	—	43	2	no	—
1237	C₂×C₄	—	43	4	no	—
1238	C₂×C₄	—	86	8	no	—
1239	C₂×C₄	—	86	16	no	—
1240	C₂×C₄	—	86	8	no	—
1241	C₂×C₄	—	86	16	no	—
1242	C₂×C₄	—	86	2	no	—
1243	C₂×C₄	—	86	2	no	—
1244	C₂×C₄	—	86	4	no	—
1245	C₂×C₄	—	86	16	no	—
1246	C₂×C₄	—	86	4	no	—
1247	C₂×C₄	—	86	4	no	—
1248	C₂×C₄	—	86	2	no	—
1249	C₂×C₄	—	86	2	no	—
1250	C₂×C₄	—	86	2	no	—
1251	C₂×C₄	—	86	8	no	—
1252	C₂×C₄	—	86	8	no	—
1253	C₂×C₄	—	172	8	no	—
1254	C₂×C₄	—	172	8	no	—
1255	C₂×C₄	—	172	8	no	—
1256	C₂×C₄	—	172	8	no	—
1257	C₂×C₄	C₂×#10621898	1	4	yes	—
1258	C₂×C₄	C₂⁴×D₄₃	1	2	yes	—
1259	C₂×C₄	C₂⁴×D₄₃	1	2	yes	—
1260	C₂×C₄	C₂⁴×D₄₃	1	4	yes	—
1261	C₂×C₄	C₂⁴×D₄₃	1	2	yes	—
1262	C₂×C₄	C₂⁴×D₄₃	1	4	yes	—
1263	C₂×C₄	C₂⁴×D₄₃	1	2	yes	—
1264	C₂×C₄	C₂⁴×D₄₃	1	4	yes	—
1265	C₂×C₄	C₂⁴×D₄₃	1	2	yes	—
1266	C₂×C₄	C₂⁴×D₄₃	1	2	yes	—
1267	C₂²	—	2	4	no	—
1268	C₂²	—	2	4	no	—
1269	C₂²	—	2	16	no	—
1270	C₂²	—	2	2	no	—
1271	C₂²	—	2	2	no	—
1272	C₂²	—	2	2	no	—
1273	C₂²	—	4	4	no	—
1274	C₂²	—	43	4	no	—
1275	C₂²	—	86	2	no	—
1276	C₂²	—	86	2	no	—
1277	C₂²	—	86	8	no	—
1278	C₂²	—	86	2	no	—
1279	C₂²	—	86	4	no	—
1280	C₂²	—	86	4	no	—
1281	C₂²	—	86	2	no	—
1282	C₂²	—	86	2	no	—
1283	C₂²	—	86	4	no	—
1284	C₂²	—	172	32	no	—
1285	C₂²	—	172	8	no	—
1286	C₂²	—	172	4	no	—
1287	C₂²	C₂²×#10621898	1	8	yes	—
1288	C₂²	C₂²×#10621898	1	2	yes	—
1289	C₂²	H(5,𝔽₂)×D₄₃	1	2	yes	—
1290	C₂²	2₋¹⁺⁴×D₄₃	1	2	yes	—
1291	C₂²	C₂⁵×D₄₃	1	1	yes	characteristic
1292	C₄	—	2	2	no	—
1293	C₄	—	2	4	no	—
1294	C₄	—	2	2	no	—
1295	C₄	—	2	4	no	—
1296	C₄	—	2	4	no	—
1297	C₄	—	2	2	no	—
1298	C₄	—	2	2	no	—
1299	C₄	—	2	2	no	—
1300	C₄	—	43	4	no	—
1301	C₄	—	86	2	no	—
1302	C₄	—	86	2	no	—
1303	C₄	—	86	4	no	—
1304	C₄	—	86	4	no	—
1305	C₄	—	86	4	no	—
1306	C₄	—	86	2	no	—
1307	C₄	—	86	2	no	—
1308	C₄	—	86	2	no	—
1309	C₄	C₂²×#10621898	1	4	yes	—
1310	C₂	—	2	8	no	—
1311	C₂	—	4	2	no	—
1312	C₂	—	86	4	no	—
1313	C₂	—	172	4	no	—
1314	C₂	—	172	2	no	—
1315	C₂	#19148634	1	4	yes	direct product factor
1316	C₂	C₂³×#10621898	1	1	yes	characteristic
1317	C₂	C₂×H(5,𝔽₂)×D₄₃	1	1	yes	characteristic
1318	C₂	C₂×2₋¹⁺⁴×D₄₃	1	1	yes	characteristic

	subgroup	G/H
center	C₂³	C₂⁴×D₄₃
commutator, cosocle	C₂²×C₄₃	C₂⁶
Frattini	C₂²	C₂⁵×D₄₃
Fitting	C₂×C₄₃×#520	C₂
socle	C₂³×C₄₃	C₂⁵
hypercenter	C₂×#520	D₄₃
hypocenter	C₄₃	C₂×#3520
LCS	G ▷ C₂²×C₄₃ ▷ C₄₃
UCS	C₁ ◁ C₂³ ◁ C₂×#520

Complements

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

N	H ≅ G/N	type
1. #19148634	C₂	direct (N × H)
2. C₂×#14583621	C₂	semidirect
3. C₂×#14583609	C₂	semidirect
4. C₂×#14583604	C₂	semidirect
5. C₂×#14583582	C₂	semidirect
6. C₂×#14583578	C₂	semidirect
7. C₂×#14583573	C₂	semidirect
8. C₂×D₄×Dic₈₆	C₂	semidirect
9. C₂×#14583558	C₂	semidirect
10. C₂×#14583550	C₂	semidirect
11. C₂×#14583548	C₂	semidirect
12. C₂×#14583544	C₂	semidirect
13. C₂×#14583537	C₂	semidirect
14. C₂×#14583521	C₂	semidirect
15. C₂×#14583520	C₂	semidirect
16. C₂×#14583496	C₂	semidirect
17. C₂×#14583491	C₂	semidirect
18. C₂×#14583453	C₂	semidirect
19. C₂×#14583427	C₂	semidirect
20. C₂×#14583408	C₂	semidirect
21. C₂²×#13063303	C₂	semidirect
22. C₂×#14583378	C₂	semidirect
23. C₂×C₄×D₄×D₄₃	C₂	semidirect
24. C₂×C₄₃×#520	C₂	semidirect
25. C₂²×#10621898	C₂²	semidirect
27. C₂³×Dic₈₆	C₂²	semidirect
30. #14583621	C₂²	semidirect
31. #14583609	C₂²	semidirect
32. #14583604	C₂²	semidirect
33. #14583582	C₂²	semidirect
34. #14583578	C₂²	semidirect
35. #14583573	C₂²	semidirect
36. D₄×Dic₈₆	C₂²	semidirect
37. #14583558	C₂²	semidirect
38. #14583550	C₂²	semidirect
39. #14583548	C₂²	semidirect
40. #14583544	C₂²	semidirect
41. #14583537	C₂²	semidirect
42. #14583521	C₂²	semidirect
43. #14583520	C₂²	semidirect
44. #14583496	C₂²	semidirect
45. #14583491	C₂²	semidirect
46. #14583453	C₂²	semidirect
47. C₂×#13063325	C₂²	semidirect
48. C₂×#13063324	C₂²	semidirect
49. C₂×#13063324	C₂²	semidirect
50. C₂×#13063323	C₂²	semidirect
51. #14583427	C₂²	semidirect
52. C₂×#13063320	C₂²	semidirect
53. C₂×#13063320	C₂²	semidirect
54. C₂×#13063320	C₂²	semidirect
55. C₂×#13063319	C₂²	semidirect
56. C₂×#13063319	C₂²	semidirect
57. C₂×#13063318	C₂²	semidirect
58. C₂×#13063317	C₂²	semidirect
59. C₂×#13063315	C₂²	semidirect
60. C₂×#13063315	C₂²	semidirect
61. C₂×#13063315	C₂²	semidirect
64. C₂×#13063313	C₂²	semidirect
65. C₂×#13063311	C₂²	semidirect
66. C₂×#13063311	C₂²	semidirect
67. #14583408	C₂²	semidirect
69. C₂×#13063310	C₂²	semidirect
70. C₂×#13063310	C₂²	semidirect
73. C₂×#13063308	C₂²	semidirect
74. C₂×#13063308	C₂²	semidirect
76. C₂×#13063307	C₂²	semidirect
77. C₂×#13063306	C₂²	semidirect
79. C₂×#13063304	C₂²	semidirect
80. C₂×#13063304	C₂²	semidirect
81. C₂×#13063304	C₂²	semidirect
86. C₂×#13063303	C₂²	semidirect
87. C₂×#13063303	C₂²	semidirect
88. C₂×#13063303	C₂²	semidirect
89. C₂×#13063303	C₂²	semidirect
90. C₂×#13063303	C₂²	semidirect
91. C₂×#13063303	C₂²	semidirect
92. C₂×#13063302	C₂²	semidirect
93. C₂×#13063302	C₂²	semidirect
95. C₂×#13063301	C₂²	semidirect
101. C₂×#13063297	C₂²	semidirect
104. #14583378	C₂²	semidirect
105. C₂×C₄×Dic₈₆	C₂²	semidirect
106. C₂×C₄×Dic₈₆	C₂²	semidirect
107. C₂×C₄×Dic₈₆	C₂²	semidirect
108. C₂×#13063290	C₂²	semidirect
118. C₂×C₄×C₂²⋊D₄₃	C₂²	semidirect
119. C₂×C₄×C₂²⋊D₄₃	C₂²	semidirect
121. C₂×(C₂²⋊D₄₃)⋊C₄	C₂²	semidirect
122. C₄×D₄×D₄₃	C₂²	semidirect
124. C₂×#13063282	C₂²	semidirect
125. C₂×#13063282	C₂²	semidirect
126. C₂×#13063281	C₂²	semidirect
127. C₂²×Dic₄₃⋊C₄	C₂²	semidirect
128. C₂²×Dic₄₃⋊C₄	C₂²	semidirect
130. C₂×C₄⋊C₄×D₄₃	C₂²	semidirect
136. C₄₃×#520	C₂²	semidirect
137. C₂×C₄×Q₈×C₄₃	C₂²	semidirect
138. C₂×C₄×Q₈×C₄₃	C₂²	semidirect
141. C₂×C₄×D₄×C₄₃	C₂²	semidirect
142. C₂×C₄×D₄×C₄₃	C₂²	semidirect
143. C₂×#117×C₄₃	C₂²	semidirect
144. C₂×#117×C₄₃	C₂²	semidirect
145. C₂²×C₄⋊C₄×C₄₃	C₂²	semidirect
146. C₂²×C₄⋊C₄×C₄₃	C₂²	semidirect
149. C₂×#10621898	C₂³	semidirect
158. C₂²×Dic₈₆	C₂³	semidirect
182. #13063325	C₂³	semidirect
183. #13063324	C₂³	semidirect
184. #13063324	C₂³	semidirect
185. #13063323	C₂³	semidirect
186. #13063320	C₂³	semidirect
187. #13063320	C₂³	semidirect
188. #13063320	C₂³	semidirect
189. #13063319	C₂³	semidirect
190. #13063319	C₂³	semidirect
191. #13063318	C₂³	semidirect
192. #13063317	C₂³	semidirect
193. #13063315	C₂³	semidirect
194. #13063315	C₂³	semidirect
195. #13063315	C₂³	semidirect
198. #13063313	C₂³	semidirect
199. #13063311	C₂³	semidirect
200. #13063311	C₂³	semidirect
202. #13063310	C₂³	semidirect
203. #13063310	C₂³	semidirect
206. #13063308	C₂³	semidirect
207. #13063308	C₂³	semidirect
209. #13063307	C₂³	semidirect
210. #13063306	C₂³	semidirect
212. #13063304	C₂³	semidirect
213. #13063304	C₂³	semidirect
214. #13063304	C₂³	semidirect
219. #13063303	C₂³	semidirect
220. #13063303	C₂³	semidirect
221. #13063303	C₂³	semidirect
222. #13063303	C₂³	semidirect
223. #13063303	C₂³	semidirect
224. #13063302	C₂³	semidirect
225. #13063302	C₂³	semidirect
227. #13063301	C₂³	semidirect
233. #13063297	C₂³	semidirect
236. C₄×Dic₈₆	C₂³	semidirect
237. C₄×Dic₈₆	C₂³	semidirect
238. C₄×Dic₈₆	C₂³	semidirect
239. #13063290	C₂³	semidirect
249. C₄×C₂²⋊D₄₃	C₂³	semidirect
250. C₄×C₂²⋊D₄₃	C₂³	semidirect
252. (C₂²⋊D₄₃)⋊C₄	C₂³	semidirect
254. #13063282	C₂³	semidirect
255. #13063282	C₂³	semidirect
256. #13063281	C₂³	semidirect
280. C₂×Dic₄₃⋊C₄	C₂³	semidirect
281. C₂×Dic₄₃⋊C₄	C₂³	semidirect
283. C₄⋊C₄×D₄₃	C₂³	semidirect
326. C₄×Q₈×C₄₃	C₂³	semidirect
327. C₄×Q₈×C₄₃	C₂³	semidirect
330. C₄×D₄×C₄₃	C₂³	semidirect
331. C₄×D₄×C₄₃	C₂³	semidirect
332. #117×C₄₃	C₂³	semidirect
333. #117×C₄₃	C₂³	semidirect
341. C₂×C₄⋊C₄×C₄₃	C₂³	semidirect
342. C₂×C₄⋊C₄×C₄₃	C₂³	semidirect
364. C₂×D₄×C₄₃	#41	semidirect
541. D₄×C₄₃	C₂×#41	semidirect
673. C₂×#520	D₄₃	semidirect
677. C₂×C₄₃	#3520	semidirect
765. #520	C₂×D₄₃	semidirect
770. C₂×C₄×Q₈	C₂×D₄₃	semidirect
771. C₂×C₄×Q₈	C₂×D₄₃	semidirect
788. C₂×C₄×D₄	C₂×D₄₃	semidirect
789. C₂×C₄×D₄	C₂×D₄₃	semidirect
794. C₂×#117	C₂×D₄₃	semidirect
795. C₂×#117	C₂×D₄₃	semidirect
800. C₂²×C₄⋊C₄	C₂×D₄₃	semidirect
801. C₂²×C₄⋊C₄	C₂×D₄₃	semidirect
806. C₄₃	C₂×#3520	semidirect
910. C₄×Q₈	C₂²×D₄₃	semidirect
911. C₄×Q₈	C₂²×D₄₃	semidirect
927. C₄×D₄	C₂²×D₄₃	semidirect
928. C₄×D₄	C₂²×D₄₃	semidirect
933. #117	C₂²×D₄₃	semidirect
934. #117	C₂²×D₄₃	semidirect
969. C₂×C₄⋊C₄	C₂²×D₄₃	semidirect
970. C₂×C₄⋊C₄	C₂²×D₄₃	semidirect
1054. C₂×D₄	#10621898	semidirect
1214. D₄	C₂×#10621898	semidirect
1315. C₂	#19148634	direct (N × H)

Maximal subgroups

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

subgroup	index
#19148634	2
C₂×#14583621	2
C₂×#14583609	2
C₂×#14583604	2
C₂×#14583582	2
C₂×#14583578	2
C₂×#14583573	2
C₂×D₄×Dic₈₆	2
C₂×#14583558	2
C₂×#14583550	2
C₂×#14583548	2
C₂×#14583544	2
C₂×#14583537	2
C₂×#14583521	2
C₂×#14583520	2
C₂×#14583496	2
C₂×#14583491	2
C₂×#14583453	2
C₂×#14583427	2
C₂×#14583408	2
C₂²×#13063303	2
C₂×#14583378	2
C₂×C₄×D₄×D₄₃	2
C₂×C₄₃×#520	2
C₂×#3520	43

Subgroups — C2×#19148634 #26004604

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₂×#19148634 #26004604