Subgroups — #25257455

Order 11008.

2430 conjugacy classes of subgroups.

The subgroup lattice has 1492 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×#14583432	C₂	1	1	yes	maximal, characteristic
2	#19137694	C₂	1	1	yes	maximal, characteristic, complemented
3	#19137688	C₂	1	1	yes	maximal, characteristic, complemented
4	#19137669	C₂	1	1	yes	maximal, characteristic, complemented
5	#19137663	C₂	1	1	yes	maximal, characteristic, complemented
6	#19137594	C₂	1	1	yes	maximal, characteristic, complemented
7	#19137590	C₂	1	1	yes	maximal, characteristic, complemented
8	#19137586	C₂	1	1	yes	maximal, characteristic, complemented
9	#19137582	C₂	1	1	yes	maximal, characteristic, complemented
10	#19137549	C₂	1	1	yes	maximal, characteristic, complemented
11	#19137541	C₂	1	1	yes	maximal, characteristic, complemented
12	#19137523	C₂	1	1	yes	maximal, characteristic, complemented
13	#19137519	C₂	1	1	yes	maximal, characteristic, complemented
14	#19137509	C₂	1	1	yes	maximal, characteristic, complemented
15	#19137496	C₂	1	1	yes	maximal, characteristic, complemented
16	#19137493	C₂	1	1	yes	maximal, characteristic, complemented
17	#19137493	C₂	1	1	yes	maximal, characteristic, complemented
18	#19137374	C₂	1	1	yes	maximal, characteristic, complemented
19	#19137370	C₂	1	1	yes	maximal, characteristic, complemented
20	#19137366	C₂	1	1	yes	maximal, characteristic, complemented
21	#19137201	C₂	1	1	yes	maximal, characteristic, complemented
22	#19137199	C₂	1	1	yes	maximal, characteristic, complemented
23	#19137129	C₂	1	1	yes	maximal, characteristic, complemented
24	C₄×#13063303	C₂	1	1	yes	maximal, characteristic, complemented
25	#19137107	C₂	1	1	yes	maximal, characteristic
26	C₄×#13063298	C₂	1	1	yes	maximal, characteristic
27	#19137001	C₂	1	1	yes	maximal, characteristic, complemented
28	#19136950	C₂	1	1	yes	maximal, characteristic, complemented
29	#19136949	C₂	1	1	yes	maximal, characteristic, complemented
30	C₄×C₄⋊C₄×D₄₃	C₂	1	1	yes	maximal, characteristic, complemented
31	C₄₃×#2334	C₂	1	1	yes	maximal, characteristic, complemented
32	#14583432	C₄	1	16	yes	complemented
33	C₂×#13063319	C₂²	1	1	yes	characteristic
34	C₂×#13063315	C₂²	1	1	yes	characteristic
35	C₂×#13063311	C₂²	1	1	yes	characteristic
36	C₂×#13063310	C₂²	1	1	yes	characteristic
37	C₂×#13063307	C₂²	1	1	yes	characteristic
38	C₂×#13063303	C₂²	1	1	yes	characteristic
39	C₂×#13063298	C₂²	1	1	yes	characteristic
40	C₂×C₄×Dic₈₆	C₂²	1	1	yes	characteristic
41	C₂×#13063290	C₂²	1	1	yes	characteristic
42	C₂×#13063290	C₂²	1	1	yes	characteristic
43	C₂×C₄×D₁₇₂	C₂²	1	1	yes	characteristic
44	C₂×#13063287	C₂²	1	1	yes	characteristic
45	C₂×#13063287	C₂²	1	1	yes	characteristic
46	C₂×C₄×C₂²⋊D₄₃	C₂²	1	1	yes	characteristic
47	C₂×C₄×C₂²⋊D₄₃	C₂²	1	1	yes	characteristic
48	C₂×(C₂²⋊D₄₃)⋊C₄	C₂²	1	1	yes	characteristic
49	C₂×(C₂²⋊D₄₃)⋊C₄	C₂²	1	1	yes	characteristic
50	C₂×(C₂²⋊D₄₃)⋊C₄	C₂²	1	1	yes	characteristic
51	C₂×(C₂²⋊D₄₃)⋊C₄	C₂²	1	1	yes	characteristic
52	C₂×#13063283	C₂²	1	1	yes	characteristic
53	C₂×#13063283	C₂²	1	1	yes	characteristic
54	C₂×#13063283	C₂²	1	1	yes	characteristic
55	C₂×#13063282	C₂²	1	1	yes	characteristic
56	C₂×#13063281	C₂²	1	1	yes	characteristic
57	C₂×#13063281	C₂²	1	1	yes	characteristic
58	C₂²×Dic₄₃⋊C₄	C₂²	1	1	yes	characteristic
59	C₂×C₄⋊C₄×D₄₃	C₂²	1	1	yes	characteristic
60	C₂×C₄⋊C₄×D₄₃	C₂²	1	1	yes	characteristic
61	C₂×C₄⋊C₄×D₄₃	C₂²	1	1	yes	characteristic
62	C₂×C₄²×D₄₃	C₂²	1	1	yes	characteristic
63	C₂×C₄²×D₄₃	C₂²	1	1	yes	characteristic
64	C₂×C₄²×D₄₃	C₂²	1	1	yes	characteristic
65	#14582803	C₂²	1	1	yes	characteristic
66	#14582803	C₂²	1	1	yes	characteristic
67	#14582799	C₂²	1	1	yes	characteristic
68	#14582799	C₂²	1	1	yes	characteristic
69	#14582798	C₂²	1	1	yes	characteristic
70	#14582798	C₂²	1	1	yes	characteristic
71	#14582796	C₂²	1	1	yes	characteristic
72	#14582796	C₂²	1	1	yes	characteristic
73	#14582796	C₂²	1	1	yes	characteristic
74	#14582796	C₂²	1	1	yes	characteristic
75	#14582794	C₂²	1	1	yes	characteristic
76	#14582794	C₂²	1	1	yes	characteristic
77	#14582794	C₂²	1	1	yes	characteristic
78	#14582794	C₂²	1	1	yes	characteristic
79	#14582793	C₂²	1	1	yes	characteristic
80	#14582792	C₂²	1	1	yes	characteristic
81	#14582792	C₂²	1	1	yes	characteristic
82	#14582792	C₂²	1	1	yes	characteristic
83	#14582791	C₂²	1	1	yes	characteristic
84	#14582791	C₂²	1	1	yes	characteristic
85	#14582791	C₂²	1	1	yes	characteristic
86	#14582790	C₂²	1	1	yes	characteristic
87	#14582789	C₂²	1	1	yes	characteristic
88	#14582789	C₂²	1	1	yes	characteristic
89	#14582789	C₂²	1	1	yes	characteristic
90	#14582788	C₂²	1	1	yes	characteristic
91	#14582787	C₂²	1	1	yes	characteristic
92	#14582786	C₂²	1	1	yes	characteristic
93	#14582786	C₂²	1	1	yes	characteristic
94	#14582786	C₂²	1	1	yes	characteristic
95	#14582785	C₂²	1	1	yes	characteristic
96	#14582785	C₂²	1	1	yes	characteristic
97	#14582785	C₂²	1	1	yes	characteristic
98	#14582784	C₂²	1	1	yes	characteristic
99	#14582783	C₂²	1	1	yes	characteristic
100	#14582782	C₂²	1	1	yes	characteristic
101	#14582781	C₂²	1	1	yes	characteristic
102	#14582780	C₂²	1	1	yes	characteristic
103	#14582780	C₂²	1	1	yes	characteristic
104	#14582780	C₂²	1	1	yes	characteristic
105	#14582777	C₂²	1	1	yes	characteristic
106	#14582777	C₂²	1	1	yes	characteristic
107	#14582775	C₂²	1	1	yes	characteristic
108	#14582775	C₂²	1	1	yes	characteristic
109	#14582774	C₂²	1	1	yes	characteristic
110	#14582774	C₂²	1	1	yes	characteristic
111	#14582773	C₂²	1	1	yes	characteristic
112	#14582773	C₂²	1	1	yes	characteristic
113	#14582773	C₂²	1	1	yes	characteristic
114	#14582773	C₂²	1	1	yes	characteristic
115	#14582770	C₂²	1	1	yes	characteristic
116	#14582770	C₂²	1	1	yes	characteristic
117	#14582770	C₂²	1	1	yes	characteristic
118	#14582770	C₂²	1	1	yes	characteristic
119	#14582768	C₂²	1	1	yes	characteristic
120	#14582768	C₂²	1	1	yes	characteristic
121	#14582768	C₂²	1	1	yes	characteristic
122	#14582768	C₂²	1	1	yes	characteristic
123	#14582765	C₂²	1	1	yes	characteristic
124	#14582763	C₂²	1	1	yes	characteristic
125	#14582763	C₂²	1	1	yes	characteristic
126	#14582758	C₂²	1	1	yes	characteristic
127	#14582758	C₂²	1	1	yes	characteristic
128	#14582758	C₂²	1	1	yes	characteristic
129	#14582758	C₂²	1	1	yes	characteristic
130	#14582758	C₂²	1	1	yes	characteristic
131	#14582758	C₂²	1	1	yes	characteristic
132	#14582757	C₂²	1	1	yes	characteristic
133	#14582757	C₂²	1	1	yes	characteristic
134	C₄⋊C₄×Dic₄₃	C₂²	1	1	yes	characteristic
135	C₄⋊C₄×Dic₄₃	C₂²	1	1	yes	characteristic
136	C₄⋊C₄×Dic₄₃	C₂²	1	1	yes	characteristic
137	C₄⋊C₄×Dic₄₃	C₂²	1	1	yes	characteristic
138	C₄×Dic₄₃⋊C₄	C₂²	1	1	yes	characteristic
139	C₄×Dic₄₃⋊C₄	C₂²	1	1	yes	characteristic
140	C₄×Dic₄₃⋊C₄	C₂²	1	1	yes	characteristic
141	C₄×Dic₄₃⋊C₄	C₂²	1	1	yes	characteristic
142	C₄×Dic₄₃⋊C₄	C₂²	1	1	yes	characteristic
143	C₄×Dic₄₃⋊C₄	C₂²	1	1	yes	characteristic
144	C₄×Dic₄₃⋊C₄	C₂²	1	1	yes	characteristic
145	C₄×Dic₄₃⋊C₄	C₂²	1	1	yes	characteristic
146	C₄×C₄⋊Dic₄₃	C₂²	1	1	yes	characteristic
147	C₄×C₄⋊Dic₄₃	C₂²	1	1	yes	characteristic
148	#14582750	C₂²	1	1	yes	characteristic
149	#14582750	C₂²	1	1	yes	characteristic
150	#14582750	C₂²	1	1	yes	characteristic
151	#14582750	C₂²	1	1	yes	characteristic
152	#14582750	C₂²	1	1	yes	characteristic
153	#14582750	C₂²	1	1	yes	characteristic
154	#14582750	C₂²	1	1	yes	characteristic
155	#14582750	C₂²	1	1	yes	characteristic
156	#14582750	C₂²	1	1	yes	characteristic
157	#14582750	C₂²	1	1	yes	characteristic
158	#14582750	C₂²	1	1	yes	characteristic
159	#14582750	C₂²	1	1	yes	characteristic
160	C₂²⋊C₄×Dic₄₃	C₂²	1	1	yes	characteristic
161	C₂²⋊C₄×Dic₄₃	C₂²	1	1	yes	characteristic
162	C₄×(C₂×D₄₃)⋊C₄	C₂²	1	1	yes	characteristic
163	C₄×(C₂×D₄₃)⋊C₄	C₂²	1	1	yes	characteristic
164	C₄×(C₂×D₄₃)⋊C₄	C₂²	1	1	yes	characteristic
165	C₄×(C₂×D₄₃)⋊C₄	C₂²	1	1	yes	characteristic
166	C₄×C₂²⋊Dic₄₃	C₂²	1	1	yes	characteristic
167	#14582746	C₂²	1	1	yes	characteristic
168	#14582746	C₂²	1	1	yes	characteristic
169	#14582746	C₂²	1	1	yes	characteristic
170	#14582746	C₂²	1	1	yes	characteristic
171	#95×D₄₃	C₂²	1	1	yes	characteristic
172	#95×D₄₃	C₂²	1	1	yes	characteristic
173	C₂×#126×C₄₃	C₂²	1	1	yes	characteristic
174	C₄₃×#389	C₂²	1	1	yes	characteristic
175	C₄₃×#389	C₂²	1	1	yes	characteristic
176	C₄₃×#388	C₂²	1	1	yes	characteristic
177	C₄₃×#388	C₂²	1	1	yes	characteristic
178	C₄₃×#388	C₂²	1	1	yes	characteristic
179	C₄₃×#387	C₂²	1	1	yes	characteristic
180	C₄₃×#387	C₂²	1	1	yes	characteristic
181	C₄₃×#387	C₂²	1	1	yes	characteristic
182	C₄₃×#385	C₂²	1	1	yes	characteristic
183	C₄₃×#385	C₂²	1	1	yes	characteristic
184	C₄₃×#382	C₂²	1	1	yes	characteristic
185	C₄×C₄⋊C₄×C₄₃	C₂²	1	1	yes	characteristic
186	C₄×C₄⋊C₄×C₄₃	C₂²	1	1	yes	characteristic
187	C₄×C₂²⋊C₄×C₄₃	C₂²	1	1	yes	characteristic
188	C₂²×Dic₈₆	C₂³	1	1	yes	characteristic
189	C₂²×D₁₇₂	C₂³	1	1	yes	characteristic
190	C₂²×C₂²⋊D₄₃	C₂³	1	1	yes	characteristic
191	C₂²×C₂²⋊D₄₃	C₂³	1	1	yes	characteristic
192	C₂³×Dic₄₃	C₂³	1	1	yes	characteristic
193	C₂³×Dic₄₃	C₂³	1	1	yes	characteristic
194	C₂²×C₄×D₄₃	C₂³	1	1	yes	characteristic
195	C₂²×C₄×D₄₃	C₂³	1	1	yes	characteristic
196	C₂²×C₄×D₄₃	C₂³	1	1	yes	characteristic
197	C₂²×C₄×D₄₃	C₂³	1	1	yes	characteristic
198	C₂²×C₄×D₄₃	C₂³	1	1	yes	characteristic
199	C₂²×C₄×D₄₃	C₂³	1	1	yes	characteristic
200	C₂²×C₄×D₄₃	C₂³	1	1	yes	characteristic
201	C₂²×C₄×D₄₃	C₂³	1	1	yes	characteristic
202	C₂²×C₄×D₄₃	C₂³	1	1	yes	characteristic
203	C₂²×C₄×D₄₃	C₂³	1	1	yes	characteristic
204	#13063319	C₂×C₄	1	8	yes	complemented
205	#13063315	C₂×C₄	1	8	yes	complemented
206	#13063311	C₂×C₄	1	8	yes	complemented
207	#13063310	C₂×C₄	1	8	yes	complemented
208	#13063307	C₂×C₄	1	8	yes	complemented
209	#13063303	C₂×C₄	1	8	yes	complemented
210	#13063298	C₂×C₄	1	8	yes	—
211	C₄×Dic₈₆	—	4	2	no	—
212	#13063290	—	4	2	no	—
213	#13063290	C₂×C₄	1	8	yes	complemented
214	C₄×D₁₇₂	—	4	2	no	—
215	#13063287	—	4	2	no	—
216	#13063287	C₂×C₄	1	8	yes	complemented
217	C₄×C₂²⋊D₄₃	—	4	2	no	—
218	C₄×C₂²⋊D₄₃	—	4	2	no	—
219	(C₂²⋊D₄₃)⋊C₄	—	4	2	no	—
220	(C₂²⋊D₄₃)⋊C₄	—	4	2	no	—
221	(C₂²⋊D₄₃)⋊C₄	C₂×C₄	1	8	yes	complemented
222	(C₂²⋊D₄₃)⋊C₄	C₂×C₄	1	8	yes	complemented
223	#13063283	—	4	2	no	—
224	#13063283	—	4	2	no	—
225	#13063283	C₂×C₄	1	8	yes	complemented
226	#13063282	—	2	4	no	—
227	#13063281	—	2	4	no	—
228	#13063281	C₂×C₄	1	8	yes	complemented
229	C₂×C₄⋊Dic₄₃	C₂³	1	1	yes	characteristic
230	C₂×C₄⋊Dic₄₃	C₂³	1	1	yes	characteristic
231	C₂×C₄⋊Dic₄₃	C₂³	1	1	yes	characteristic
232	C₂×C₄⋊Dic₄₃	C₂³	1	1	yes	characteristic
233	C₂×C₄⋊Dic₄₃	C₂³	1	1	yes	characteristic
234	C₂×C₄⋊Dic₄₃	C₂³	1	1	yes	characteristic
235	C₂×C₄⋊Dic₄₃	C₂³	1	1	yes	characteristic
236	C₂×C₄⋊Dic₄₃	C₂³	1	1	yes	characteristic
237	C₂×Dic₄₃⋊C₄	—	2	4	no	—
238	C₂×Dic₄₃⋊C₄	C₂³	1	1	yes	characteristic
239	C₂×Dic₄₃⋊C₄	C₂³	1	1	yes	characteristic
240	C₂×Dic₄₃⋊C₄	C₂³	1	1	yes	characteristic
241	C₂×Dic₄₃⋊C₄	C₂³	1	1	yes	characteristic
242	C₂×Dic₄₃⋊C₄	C₂³	1	1	yes	characteristic
243	C₂×Dic₄₃⋊C₄	C₂³	1	1	yes	characteristic
244	C₂×Dic₄₃⋊C₄	C₂³	1	1	yes	characteristic
245	C₂×Dic₄₃⋊C₄	C₂³	1	1	yes	characteristic
246	C₂×Dic₄₃⋊C₄	C₂³	1	1	yes	characteristic
247	C₂×Dic₄₃⋊C₄	C₂³	1	1	yes	characteristic
248	C₂×Dic₄₃⋊C₄	C₂³	1	1	yes	characteristic
249	C₂×Dic₄₃⋊C₄	C₂³	1	1	yes	characteristic
250	C₂×Dic₄₃⋊C₄	C₂³	1	1	yes	characteristic
251	C₂×Dic₄₃⋊C₄	C₂³	1	1	yes	characteristic
252	C₂×Dic₄₃⋊C₄	C₂³	1	1	yes	characteristic
253	C₂×Dic₄₃⋊C₄	C₂³	1	1	yes	characteristic
254	C₂×Dic₄₃⋊C₄	C₂³	1	1	yes	characteristic
255	C₂×Dic₄₃⋊C₄	C₂³	1	1	yes	characteristic
256	C₂×Dic₄₃⋊C₄	C₂³	1	1	yes	characteristic
257	C₂×Dic₄₃⋊C₄	C₂³	1	1	yes	characteristic
258	C₂×Dic₄₃⋊C₄	C₂³	1	1	yes	characteristic
259	C₂×Dic₄₃⋊C₄	C₂³	1	1	yes	characteristic
260	C₂×Dic₄₃⋊C₄	C₂³	1	1	yes	characteristic
261	C₂×Dic₄₃⋊C₄	C₂³	1	1	yes	characteristic
262	C₄⋊C₄×D₄₃	—	2	4	no	—
263	C₄⋊C₄×D₄₃	—	2	4	no	—
264	C₄⋊C₄×D₄₃	—	2	4	no	—
265	C₂×C₂²⋊Dic₄₃	C₂³	1	1	yes	characteristic
266	C₂×C₂²⋊Dic₄₃	C₂³	1	1	yes	characteristic
267	C₂×C₂²⋊Dic₄₃	C₂³	1	1	yes	characteristic
268	C₂×C₂²⋊Dic₄₃	C₂³	1	1	yes	characteristic
269	C₂×(C₂×D₄₃)⋊C₄	C₂³	1	1	yes	characteristic
270	C₂×(C₂×D₄₃)⋊C₄	C₂³	1	1	yes	characteristic
271	C₂×(C₂×D₄₃)⋊C₄	C₂³	1	1	yes	characteristic
272	C₂×(C₂×D₄₃)⋊C₄	C₂³	1	1	yes	characteristic
273	C₂×(C₂×D₄₃)⋊C₄	C₂³	1	1	yes	characteristic
274	C₂×(C₂×D₄₃)⋊C₄	C₂³	1	1	yes	characteristic
275	C₂×(C₂×D₄₃)⋊C₄	C₂³	1	1	yes	characteristic
276	C₂×(C₂×D₄₃)⋊C₄	C₂³	1	1	yes	characteristic
277	C₂×(C₂×D₄₃)⋊C₄	C₂³	1	1	yes	characteristic
278	C₂×(C₂×D₄₃)⋊C₄	C₂³	1	1	yes	characteristic
279	C₂×(C₂×D₄₃)⋊C₄	C₂³	1	1	yes	characteristic
280	C₂×(C₂×D₄₃)⋊C₄	C₂³	1	1	yes	characteristic
281	C₂×(C₂×D₄₃)⋊C₄	C₂³	1	1	yes	characteristic
282	C₂×(C₂×D₄₃)⋊C₄	C₂³	1	1	yes	characteristic
283	C₂×(C₂×D₄₃)⋊C₄	C₂³	1	1	yes	characteristic
284	C₂×(C₂×D₄₃)⋊C₄	C₂³	1	1	yes	characteristic
285	C₂×C₄×Dic₄₃	C₂³	1	1	yes	characteristic
286	C₂×C₄×Dic₄₃	C₂³	1	1	yes	characteristic
287	C₂×C₄×Dic₄₃	C₂³	1	1	yes	characteristic
288	C₂×C₄×Dic₄₃	C₂³	1	1	yes	characteristic
289	C₂×C₄×Dic₄₃	C₂³	1	1	yes	characteristic
290	C₂×C₄×Dic₄₃	C₂³	1	1	yes	characteristic
291	C₂×C₄×Dic₄₃	C₂³	1	1	yes	characteristic
292	C₂×C₄×Dic₄₃	C₂³	1	1	yes	characteristic
293	C₂×C₄×Dic₄₃	C₂³	1	1	yes	characteristic
294	C₂×C₄×Dic₄₃	C₂³	1	1	yes	characteristic
295	C₂×C₄×Dic₄₃	C₂³	1	1	yes	characteristic
296	C₂×C₄×Dic₄₃	C₂³	1	1	yes	characteristic
297	C₂×C₄×Dic₄₃	C₂³	1	1	yes	characteristic
298	C₂×C₄×Dic₄₃	C₂³	1	1	yes	characteristic
299	C₂×C₄×Dic₄₃	C₂³	1	1	yes	characteristic
300	C₂×C₄×Dic₄₃	C₂³	1	1	yes	characteristic
301	C₂×C₄×Dic₄₃	C₂³	1	1	yes	characteristic
302	C₂×C₄×Dic₄₃	C₂³	1	1	yes	characteristic
303	C₂×C₄×Dic₄₃	C₂³	1	1	yes	characteristic
304	C₂×C₄×Dic₄₃	C₂³	1	1	yes	characteristic
305	C₂×C₄×Dic₄₃	C₂³	1	1	yes	characteristic
306	C₂×C₄×Dic₄₃	C₂³	1	1	yes	characteristic
307	C₂×C₄×Dic₄₃	C₂³	1	1	yes	characteristic
308	C₂×C₄×Dic₄₃	C₂³	1	1	yes	characteristic
309	C₄²×D₄₃	—	4	2	no	—
310	C₄²×D₄₃	—	4	2	no	—
311	C₄²×D₄₃	C₂×C₄	1	8	yes	complemented
312	C₄₃⋊#95	C₂³	1	1	yes	characteristic
313	C₄₃⋊#95	C₂³	1	1	yes	characteristic
314	C₄₃⋊#95	C₂³	1	1	yes	characteristic
315	C₄₃⋊#95	C₂³	1	1	yes	characteristic
316	C₄₃⋊#95	C₂³	1	1	yes	characteristic
317	C₄₃⋊#95	C₂³	1	1	yes	characteristic
318	C₄₃⋊#95	C₂³	1	1	yes	characteristic
319	C₄₃⋊#95	C₂³	1	1	yes	characteristic
320	C₄₃⋊#95	C₂³	1	1	yes	characteristic
321	C₄₃⋊#95	C₂³	1	1	yes	characteristic
322	C₄₃⋊#95	C₂³	1	1	yes	characteristic
323	C₄₃⋊#95	C₂³	1	1	yes	characteristic
324	C₄₃⋊#95	C₂³	1	1	yes	characteristic
325	C₄₃⋊#95	C₂³	1	1	yes	characteristic
326	C₄₃⋊#95	C₂³	1	1	yes	characteristic
327	C₄₃⋊#95	C₂³	1	1	yes	characteristic
328	C₄₃⋊#95	C₂³	1	1	yes	characteristic
329	C₄₃⋊#95	C₂³	1	1	yes	characteristic
330	C₄₃⋊#95	C₂³	1	1	yes	characteristic
331	C₄₃⋊#95	C₂³	1	1	yes	characteristic
332	C₄₃⋊#95	C₂³	1	1	yes	characteristic
333	C₄₃⋊#95	C₂³	1	1	yes	characteristic
334	C₄₃⋊#95	C₂³	1	1	yes	characteristic
335	C₄₃⋊#95	C₂³	1	1	yes	characteristic
336	C₄₃⋊#95	C₂³	1	1	yes	characteristic
337	C₄₃⋊#95	C₂³	1	1	yes	characteristic
338	C₄₃⋊#95	C₂³	1	1	yes	characteristic
339	C₄₃⋊#95	C₂³	1	1	yes	characteristic
340	C₂³×C₄×C₄₃	C₂³	1	1	yes	characteristic
341	#126×C₄₃	C₂×C₄	1	8	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	1	yes	characteristic
345	C₂×C₄⋊C₄×C₄₃	C₂³	1	1	yes	characteristic
346	C₂×C₄⋊C₄×C₄₃	C₂³	1	1	yes	characteristic
347	C₂×C₄⋊C₄×C₄₃	C₂³	1	1	yes	characteristic
348	C₂×C₄⋊C₄×C₄₃	C₂³	1	1	yes	characteristic
349	C₂×C₄⋊C₄×C₄₃	C₂³	1	1	yes	characteristic
350	C₂×C₄⋊C₄×C₄₃	C₂³	1	1	yes	characteristic
351	C₂×C₄⋊C₄×C₄₃	C₂³	1	1	yes	characteristic
352	C₂×C₂²⋊C₄×C₄₃	C₂³	1	1	yes	characteristic
353	C₂×C₂²⋊C₄×C₄₃	C₂³	1	1	yes	characteristic
354	C₂×C₂²⋊C₄×C₄₃	C₂³	1	1	yes	characteristic
355	C₂×C₂²⋊C₄×C₄₃	C₂³	1	1	yes	characteristic
356	C₂×C₂²⋊C₄×C₄₃	C₂³	1	1	yes	characteristic
357	C₂×C₂²⋊C₄×C₄₃	C₂³	1	1	yes	characteristic
358	C₂×C₄²×C₄₃	C₂³	1	1	yes	characteristic
359	C₂×C₄²×C₄₃	C₂³	1	1	yes	characteristic
360	C₂×C₄²×C₄₃	C₂³	1	1	yes	characteristic
361	C₂×C₄²×C₄₃	C₂³	1	1	yes	characteristic
362	C₂×C₄²×C₄₃	C₂³	1	1	yes	characteristic
363	C₂×C₄²×C₄₃	C₂³	1	1	yes	characteristic
364	#95×C₄₃	C₂³	1	1	yes	characteristic
365	#95×C₄₃	C₂³	1	1	yes	characteristic
366	#95×C₄₃	C₂³	1	1	yes	characteristic
367	#95×C₄₃	C₂³	1	1	yes	characteristic
368	#95×C₄₃	C₂³	1	1	yes	characteristic
369	#95×C₄₃	C₂³	1	1	yes	characteristic
370	#95×C₄₃	C₂³	1	1	yes	characteristic
371	#95×C₄₃	C₂³	1	1	yes	characteristic
372	#95×C₄₃	C₂³	1	1	yes	characteristic
373	#95×C₄₃	C₂³	1	1	yes	characteristic
374	#95×C₄₃	C₂³	1	1	yes	characteristic
375	#95×C₄₃	C₂³	1	1	yes	characteristic
376	C₂⁴×C₄₃	C₂⁴	1	1	yes	characteristic
377	C₂³×D₄₃	C₂⁴	1	1	yes	characteristic
378	C₂³×D₄₃	C₂⁴	1	1	yes	characteristic
379	C₂²×C₄×C₄₃	—	2	2	no	—
380	C₂²×C₄×C₄₃	—	4	1	no	—
381	C₂²×C₄×C₄₃	—	4	1	no	—
382	C₂²×C₄×C₄₃	C₂⁴	1	1	yes	characteristic
383	C₂²×C₄×C₄₃	C₂⁴	1	1	yes	characteristic
384	C₂²×C₄×C₄₃	C₂⁴	1	1	yes	characteristic
385	C₂²×C₄×C₄₃	C₂⁴	1	1	yes	characteristic
386	C₂²×C₄×C₄₃	C₂⁴	1	1	yes	characteristic
387	C₂²×C₄×C₄₃	C₂⁴	1	1	yes	characteristic
388	C₂²×C₄×C₄₃	C₂⁴	1	1	yes	characteristic
389	C₂²×C₄×C₄₃	C₂⁴	1	1	yes	characteristic
390	C₂²×C₄×C₄₃	C₂⁴	1	1	yes	characteristic
391	C₂²×C₄×C₄₃	C₂⁴	1	1	yes	characteristic
392	C₂²×C₄×C₄₃	C₂⁴	1	1	yes	characteristic
393	C₂²×C₄×C₄₃	C₂⁴	1	1	yes	characteristic
394	C₂²×C₄×C₄₃	C₂⁴	1	1	yes	characteristic
395	C₂²×C₄×C₄₃	C₂⁴	1	1	yes	characteristic
396	C₂×C₂²⋊D₄₃	—	2	2	no	—
397	C₂×C₂²⋊D₄₃	—	2	2	no	—
398	C₂×C₂²⋊D₄₃	—	2	2	no	—
399	C₂×C₂²⋊D₄₃	—	2	2	no	—
400	C₂×C₂²⋊D₄₃	C₂²×C₄	1	4	yes	—
401	C₂×C₂²⋊D₄₃	C₂²×C₄	1	4	yes	—
402	C₂²×Dic₄₃	—	2	2	no	—
403	C₂²×Dic₄₃	—	2	2	no	—
404	C₂²×Dic₄₃	—	2	2	no	—
405	C₂²×Dic₄₃	—	4	1	no	—
406	C₂²×Dic₄₃	—	4	1	no	—
407	C₂²×Dic₄₃	C₂²×C₄	1	4	yes	—
408	C₂²×Dic₄₃	C₂⁴	1	1	yes	characteristic
409	C₂²×Dic₄₃	C₂⁴	1	1	yes	characteristic
410	C₂²×Dic₄₃	C₂⁴	1	1	yes	characteristic
411	C₂²×Dic₄₃	C₂⁴	1	1	yes	characteristic
412	C₂²×Dic₄₃	C₂⁴	1	1	yes	characteristic
413	C₂²×Dic₄₃	C₂⁴	1	1	yes	characteristic
414	C₂²×Dic₄₃	C₂⁴	1	1	yes	characteristic
415	C₂²×Dic₄₃	C₂⁴	1	1	yes	characteristic
416	C₂²×Dic₄₃	C₂⁴	1	1	yes	characteristic
417	C₂²×Dic₄₃	C₂⁴	1	1	yes	characteristic
418	C₂²×Dic₄₃	C₂⁴	1	1	yes	characteristic
419	C₂²×Dic₄₃	C₂⁴	1	1	yes	characteristic
420	C₂²×Dic₄₃	C₂⁴	1	1	yes	characteristic
421	C₂²×Dic₄₃	C₂⁴	1	1	yes	characteristic
422	C₂×D₁₇₂	—	2	2	no	—
423	C₂×D₁₇₂	—	2	2	no	—
424	C₂×D₁₇₂	C₂²×C₄	1	4	yes	—
425	C₂×C₄×D₄₃	—	2	2	no	—
426	C₂×C₄×D₄₃	—	2	2	no	—
427	C₂×C₄×D₄₃	—	2	2	no	—
428	C₂×C₄×D₄₃	—	2	2	no	—
429	C₂×C₄×D₄₃	—	2	2	no	—
430	C₂×C₄×D₄₃	—	2	2	no	—
431	C₂×C₄×D₄₃	—	2	2	no	—
432	C₂×C₄×D₄₃	—	2	2	no	—
433	C₂×C₄×D₄₃	—	2	2	no	—
434	C₂×C₄×D₄₃	—	2	2	no	—
435	C₂×C₄×D₄₃	—	2	2	no	—
436	C₂×C₄×D₄₃	—	2	2	no	—
437	C₂×C₄×D₄₃	—	2	2	no	—
438	C₂×C₄×D₄₃	—	2	2	no	—
439	C₂×C₄×D₄₃	—	2	2	no	—
440	C₂×C₄×D₄₃	—	2	2	no	—
441	C₂×C₄×D₄₃	—	2	2	no	—
442	C₂×C₄×D₄₃	—	2	2	no	—
443	C₂×C₄×D₄₃	—	4	1	no	—
444	C₂×C₄×D₄₃	—	4	1	no	—
445	C₂×C₄×D₄₃	—	4	1	no	—
446	C₂×C₄×D₄₃	—	4	1	no	—
447	C₂×C₄×D₄₃	—	4	1	no	—
448	C₂×C₄×D₄₃	—	4	1	no	—
449	C₂×C₄×D₄₃	—	4	1	no	—
450	C₂×C₄×D₄₃	—	4	1	no	—
451	C₂×C₄×D₄₃	C₂²×C₄	1	4	yes	—
452	C₂×C₄×D₄₃	C₂²×C₄	1	4	yes	—
453	C₂×C₄×D₄₃	C₂²×C₄	1	4	yes	—
454	C₂×C₄×D₄₃	C₂²×C₄	1	4	yes	—
455	C₂×Dic₈₆	—	2	2	no	—
456	C₂×Dic₈₆	—	2	2	no	—
457	C₂×Dic₈₆	C₂²×C₄	1	4	yes	—
458	C₄⋊C₄×C₄₃	—	2	2	no	—
459	C₄⋊C₄×C₄₃	—	2	2	no	—
460	C₄⋊C₄×C₄₃	—	2	2	no	—
461	C₄⋊C₄×C₄₃	—	4	1	no	—
462	C₄⋊C₄×C₄₃	—	4	1	no	—
463	C₄⋊C₄×C₄₃	—	4	1	no	—
464	C₄⋊C₄×C₄₃	—	4	1	no	—
465	C₄⋊C₄×C₄₃	C₂²×C₄	1	4	yes	—
466	C₄⋊C₄×C₄₃	C₂²×C₄	1	4	yes	—
467	C₄⋊C₄×C₄₃	C₂²×C₄	1	4	yes	—
468	C₂²⋊C₄×C₄₃	—	2	2	no	—
469	C₂²⋊C₄×C₄₃	—	4	1	no	—
470	C₂²⋊C₄×C₄₃	—	4	1	no	—
471	C₂²⋊C₄×C₄₃	C₂²×C₄	1	4	yes	—
472	C₂²⋊C₄×C₄₃	C₂²×C₄	1	4	yes	—
473	C₂²⋊C₄×C₄₃	C₂²×C₄	1	4	yes	—
474	C₄²×C₄₃	—	2	2	no	—
475	C₄²×C₄₃	—	4	1	no	—
476	C₄²×C₄₃	—	4	1	no	—
477	C₄²×C₄₃	—	4	1	no	—
478	C₄²×C₄₃	—	4	1	no	—
479	C₄²×C₄₃	C₂²×C₄	1	4	yes	—
480	C₂²⋊Dic₄₃	—	2	2	no	—
481	C₂²⋊Dic₄₃	—	4	1	no	—
482	C₂²⋊Dic₄₃	—	4	1	no	—
483	C₂²⋊Dic₄₃	C₂²×C₄	1	4	yes	—
484	(C₂×D₄₃)⋊C₄	—	2	2	no	—
485	(C₂×D₄₃)⋊C₄	—	2	2	no	—
486	(C₂×D₄₃)⋊C₄	—	2	2	no	—
487	(C₂×D₄₃)⋊C₄	—	2	2	no	—
488	(C₂×D₄₃)⋊C₄	—	2	2	no	—
489	(C₂×D₄₃)⋊C₄	—	2	2	no	—
490	(C₂×D₄₃)⋊C₄	—	4	1	no	—
491	(C₂×D₄₃)⋊C₄	—	4	1	no	—
492	(C₂×D₄₃)⋊C₄	—	4	1	no	—
493	(C₂×D₄₃)⋊C₄	—	4	1	no	—
494	(C₂×D₄₃)⋊C₄	C₂²×C₄	1	4	yes	—
495	(C₂×D₄₃)⋊C₄	C₂²×C₄	1	4	yes	—
496	(C₂×D₄₃)⋊C₄	C₂²×C₄	1	4	yes	—
497	(C₂×D₄₃)⋊C₄	C₂²×C₄	1	4	yes	—
498	(C₂×D₄₃)⋊C₄	C₂²×C₄	1	4	yes	—
499	(C₂×D₄₃)⋊C₄	C₂²×C₄	1	4	yes	—
500	C₄⋊Dic₄₃	—	2	2	no	—
501	C₄⋊Dic₄₃	—	2	2	no	—
502	C₄⋊Dic₄₃	—	2	2	no	—
503	C₄⋊Dic₄₃	—	4	1	no	—
504	C₄⋊Dic₄₃	—	4	1	no	—
505	C₄⋊Dic₄₃	—	4	1	no	—
506	C₄⋊Dic₄₃	—	4	1	no	—
507	C₄⋊Dic₄₃	C₂²×C₄	1	4	yes	—
508	Dic₄₃⋊C₄	—	2	2	no	—
509	Dic₄₃⋊C₄	—	2	2	no	—
510	Dic₄₃⋊C₄	—	2	2	no	—
511	Dic₄₃⋊C₄	—	2	2	no	—
512	Dic₄₃⋊C₄	—	2	2	no	—
513	Dic₄₃⋊C₄	—	2	2	no	—
514	Dic₄₃⋊C₄	—	2	2	no	—
515	Dic₄₃⋊C₄	—	2	2	no	—
516	Dic₄₃⋊C₄	—	2	2	no	—
517	Dic₄₃⋊C₄	—	2	2	no	—
518	Dic₄₃⋊C₄	—	2	2	no	—
519	Dic₄₃⋊C₄	—	2	2	no	—
520	Dic₄₃⋊C₄	—	4	1	no	—
521	Dic₄₃⋊C₄	—	4	1	no	—
522	Dic₄₃⋊C₄	—	4	1	no	—
523	Dic₄₃⋊C₄	—	4	1	no	—
524	Dic₄₃⋊C₄	C₂²×C₄	1	4	yes	—
525	Dic₄₃⋊C₄	C₂²×C₄	1	4	yes	—
526	Dic₄₃⋊C₄	C₂²×C₄	1	4	yes	—
527	Dic₄₃⋊C₄	C₂²×C₄	1	4	yes	—
528	Dic₄₃⋊C₄	C₂²×C₄	1	4	yes	—
529	Dic₄₃⋊C₄	C₂²×C₄	1	4	yes	—
530	Dic₄₃⋊C₄	#41	1	4	yes	—
531	Dic₄₃⋊C₄	#41	1	4	yes	—
532	C₄×Dic₄₃	—	2	2	no	—
533	C₄×Dic₄₃	—	2	2	no	—
534	C₄×Dic₄₃	—	2	2	no	—
535	C₄×Dic₄₃	—	2	2	no	—
536	C₄×Dic₄₃	—	2	2	no	—
537	C₄×Dic₄₃	—	2	2	no	—
538	C₄×Dic₄₃	—	2	2	no	—
539	C₄×Dic₄₃	—	4	1	no	—
540	C₄×Dic₄₃	—	4	1	no	—
541	C₄×Dic₄₃	—	4	1	no	—
542	C₄×Dic₄₃	—	4	1	no	—
543	C₄×Dic₄₃	—	4	1	no	—
544	C₄×Dic₄₃	—	4	1	no	—
545	C₄×Dic₄₃	—	4	1	no	—
546	C₄×Dic₄₃	—	4	1	no	—
547	C₄×Dic₄₃	—	4	1	no	—
548	C₄×Dic₄₃	—	4	1	no	—
549	C₄×Dic₄₃	—	4	1	no	—
550	C₄×Dic₄₃	—	4	1	no	—
551	C₄×Dic₄₃	C₂²×C₄	1	4	yes	—
552	C₄×Dic₄₃	C₂²×C₄	1	4	yes	—
553	C₄×Dic₄₃	C₂²×C₄	1	4	yes	—
554	C₄×Dic₄₃	C₂²×C₄	1	4	yes	—
555	C₄×Dic₄₃	C₂²×C₄	1	4	yes	—
556	C₂³×C₄₃	—	2	1	no	—
557	C₂³×C₄₃	—	2	1	no	—
558	C₂³×C₄₃	—	2	1	no	—
559	C₂³×C₄₃	—	2	1	no	—
560	C₂³×C₄₃	—	2	1	no	—
561	C₂³×C₄₃	—	2	1	no	—
562	C₂³×C₄₃	C₂³×C₄	1	2	yes	—
563	C₂³×C₄₃	C₂⁵	1	1	yes	characteristic
564	C₂²×D₄₃	—	2	1	no	—
565	C₂²×D₄₃	—	2	1	no	—
566	C₂²×D₄₃	—	2	1	no	—
567	C₂²×D₄₃	—	2	1	no	—
568	C₂²×D₄₃	—	2	1	no	—
569	C₂²×D₄₃	—	2	1	no	—
570	C₂²×D₄₃	—	2	1	no	—
571	C₂²×D₄₃	—	2	1	no	—
572	C₂²×D₄₃	—	2	1	no	—
573	C₂²×D₄₃	—	2	1	no	—
574	C₂²×D₄₃	C₂³×C₄	1	2	yes	—
575	C₂²×D₄₃	C₂³×C₄	1	2	yes	—
576	C₂²×D₄₃	H(5,𝔽₂)	1	2	yes	—
577	C₂²×D₄₃	2₋¹⁺⁴	1	2	yes	—
578	C₂×C₄×C₄₃	—	2	1	no	—
579	C₂×C₄×C₄₃	—	2	1	no	—
580	C₂×C₄×C₄₃	—	2	1	no	—
581	C₂×C₄×C₄₃	—	2	1	no	—
582	C₂×C₄×C₄₃	—	2	1	no	—
583	C₂×C₄×C₄₃	—	2	1	no	—
584	C₂×C₄×C₄₃	—	2	1	no	—
585	C₂×C₄×C₄₃	—	2	1	no	—
586	C₂×C₄×C₄₃	—	2	1	no	—
587	C₂×C₄×C₄₃	—	2	1	no	—
588	C₂×C₄×C₄₃	—	2	1	no	—
589	C₂×C₄×C₄₃	—	2	1	no	—
590	C₂×C₄×C₄₃	—	2	1	no	—
591	C₂×C₄×C₄₃	—	2	1	no	—
592	C₂×C₄×C₄₃	—	2	1	no	—
593	C₂×C₄×C₄₃	—	2	1	no	—
594	C₂×C₄×C₄₃	—	2	1	no	—
595	C₂×C₄×C₄₃	—	2	1	no	—
596	C₂×C₄×C₄₃	—	2	1	no	—
597	C₂×C₄×C₄₃	—	2	1	no	—
598	C₂×C₄×C₄₃	—	2	1	no	—
599	C₂×C₄×C₄₃	—	2	1	no	—
600	C₂×C₄×C₄₃	—	2	1	no	—
601	C₂×C₄×C₄₃	—	2	1	no	—
602	C₂×C₄×C₄₃	—	2	1	no	—
603	C₂×C₄×C₄₃	—	2	1	no	—
604	C₂×C₄×C₄₃	—	2	1	no	—
605	C₂×C₄×C₄₃	—	2	1	no	—
606	C₂×C₄×C₄₃	—	2	1	no	—
607	C₂×C₄×C₄₃	—	2	1	no	—
608	C₂×C₄×C₄₃	—	2	1	no	—
609	C₂×C₄×C₄₃	—	2	1	no	—
610	C₂×C₄×C₄₃	—	2	1	no	—
611	C₂×C₄×C₄₃	—	2	1	no	—
612	C₂×C₄×C₄₃	—	8	2	no	—
613	C₂×C₄×C₄₃	C₂³×C₄	1	2	yes	—
614	C₂×C₄×C₄₃	C₂³×C₄	1	2	yes	—
615	C₂×C₄×C₄₃	C₂³×C₄	1	2	yes	—
616	C₂×C₄×C₄₃	C₂³×C₄	1	2	yes	—
617	C₂×C₄×C₄₃	C₂³×C₄	1	2	yes	—
618	C₂×C₄×C₄₃	C₂³×C₄	1	2	yes	—
619	C₂×C₄×C₄₃	C₂×#41	1	2	yes	—
620	C₂×C₄×C₄₃	C₂×#41	1	2	yes	—
621	C₂²⋊D₄₃	—	2	8	no	—
622	C₂²⋊D₄₃	—	2	8	no	—
623	C₂×Dic₄₃	—	2	1	no	—
624	C₂×Dic₄₃	—	2	1	no	—
625	C₂×Dic₄₃	—	2	1	no	—
626	C₂×Dic₄₃	—	2	1	no	—
627	C₂×Dic₄₃	—	2	1	no	—
628	C₂×Dic₄₃	—	2	1	no	—
629	C₂×Dic₄₃	—	2	1	no	—
630	C₂×Dic₄₃	—	2	1	no	—
631	C₂×Dic₄₃	—	2	1	no	—
632	C₂×Dic₄₃	—	2	1	no	—
633	C₂×Dic₄₃	—	2	1	no	—
634	C₂×Dic₄₃	—	2	1	no	—
635	C₂×Dic₄₃	—	2	8	no	—
636	C₂×Dic₄₃	—	2	1	no	—
637	C₂×Dic₄₃	—	2	1	no	—
638	C₂×Dic₄₃	—	2	1	no	—
639	C₂×Dic₄₃	—	2	1	no	—
640	C₂×Dic₄₃	—	2	1	no	—
641	C₂×Dic₄₃	—	2	1	no	—
642	C₂×Dic₄₃	—	2	1	no	—
643	C₂×Dic₄₃	—	2	1	no	—
644	C₂×Dic₄₃	—	2	1	no	—
645	C₂×Dic₄₃	—	2	1	no	—
646	C₂×Dic₄₃	—	2	1	no	—
647	C₂×Dic₄₃	—	2	1	no	—
648	C₂×Dic₄₃	—	2	1	no	—
649	C₂×Dic₄₃	—	2	1	no	—
650	C₂×Dic₄₃	—	2	1	no	—
651	C₂×Dic₄₃	—	2	1	no	—
652	C₂×Dic₄₃	—	2	1	no	—
653	C₂×Dic₄₃	—	2	1	no	—
654	C₂×Dic₄₃	—	8	2	no	—
655	C₂×Dic₄₃	C₂³×C₄	1	2	yes	—
656	C₂×Dic₄₃	C₂³×C₄	1	2	yes	—
657	C₂×Dic₄₃	C₂³×C₄	1	2	yes	—
658	C₂×Dic₄₃	C₂³×C₄	1	2	yes	—
659	C₂×Dic₄₃	C₂³×C₄	1	2	yes	—
660	C₂×Dic₄₃	C₂³×C₄	1	2	yes	—
661	C₂×Dic₄₃	C₂×#41	1	2	yes	—
662	C₂×Dic₄₃	C₂×#41	1	2	yes	—
663	C₂×Dic₄₃	C₂×#41	1	2	yes	—
664	C₂×Dic₄₃	C₂×#41	1	2	yes	—
665	C₂×Dic₄₃	H(5,𝔽₂)	1	2	yes	—
666	C₂×Dic₄₃	2₋¹⁺⁴	1	2	yes	—
667	D₁₇₂	—	2	8	no	—
668	C₄×D₄₃	—	2	8	no	—
669	C₄×D₄₃	—	2	8	no	—
670	C₄×D₄₃	—	2	8	no	—
671	C₄×D₄₃	—	2	8	no	—
672	C₄×D₄₃	—	4	4	no	—
673	C₄×D₄₃	—	4	4	no	—
674	C₄×D₄₃	—	4	4	no	—
675	C₄×D₄₃	—	4	4	no	—
676	C₄×D₄₃	—	8	2	no	—
677	C₄×D₄₃	—	8	2	no	—
678	Dic₈₆	—	2	8	no	—
679	#34243	—	43	1	no	maximal, Sylow
680	C₂²×C₄₃	—	2	2	no	—
681	C₂²×C₄₃	—	2	2	no	—
682	C₂²×C₄₃	—	2	2	no	—
683	C₂²×C₄₃	—	4	1	no	—
684	C₂²×C₄₃	—	4	1	no	—
685	C₂²×C₄₃	—	4	1	no	—
686	C₂²×C₄₃	—	4	1	no	—
687	C₂²×C₄₃	C₂⁴×C₄	1	1	yes	characteristic
688	C₂²×C₄₃	C₂²×#41	1	1	yes	characteristic
689	C₂²×C₄₃	C₂²×#41	1	1	yes	characteristic
690	C₂²×C₄₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
691	C₂²×C₄₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
692	C₂²×C₄₃	C₂×2₋¹⁺⁴	1	1	yes	characteristic
693	C₂²×C₄₃	C₂×2₋¹⁺⁴	1	1	yes	characteristic
694	C₂×D₄₃	—	2	2	no	—
695	C₂×D₄₃	—	2	2	no	—
696	C₂×D₄₃	—	2	2	no	—
697	C₂×D₄₃	—	2	2	no	—
698	C₂×D₄₃	—	2	2	no	—
699	C₂×D₄₃	—	2	2	no	—
700	C₂×D₄₃	—	2	2	no	—
701	C₂×D₄₃	—	2	2	no	—
702	C₂×D₄₃	—	2	2	no	—
703	C₂×D₄₃	—	4	1	no	—
704	C₂×D₄₃	—	4	1	no	—
705	C₂×D₄₃	—	4	1	no	—
706	C₂×D₄₃	—	4	1	no	—
707	C₂×D₄₃	#520	1	4	yes	—
708	C₄×C₄₃	—	2	2	no	—
709	C₄×C₄₃	—	2	2	no	—
710	C₄×C₄₃	—	2	2	no	—
711	C₄×C₄₃	—	2	2	no	—
712	C₄×C₄₃	—	2	2	no	—
713	C₄×C₄₃	—	2	2	no	—
714	C₄×C₄₃	—	2	2	no	—
715	C₄×C₄₃	—	2	2	no	—
716	C₄×C₄₃	—	4	1	no	—
717	C₄×C₄₃	—	4	1	no	—
718	C₄×C₄₃	—	4	1	no	—
719	C₄×C₄₃	—	4	1	no	—
720	C₄×C₄₃	—	4	1	no	—
721	C₄×C₄₃	—	4	1	no	—
722	Dic₄₃	—	2	2	no	—
723	Dic₄₃	—	2	2	no	—
724	Dic₄₃	—	2	2	no	—
725	Dic₄₃	—	2	2	no	—
726	Dic₄₃	—	2	2	no	—
727	Dic₄₃	—	2	2	no	—
728	Dic₄₃	—	4	1	no	—
729	Dic₄₃	—	4	1	no	—
730	Dic₄₃	—	4	1	no	—
731	Dic₄₃	—	4	1	no	—
732	Dic₄₃	—	4	1	no	—
733	Dic₄₃	—	4	1	no	—
734	Dic₄₃	C₄×#41	1	4	yes	—
735	Dic₄₃	#520	1	4	yes	—
736	C₂×#529	—	43	1	no	—
737	#2370	—	43	1	no	—
738	#2370	—	43	1	no	—
739	#2367	—	43	1	no	—
740	#2367	—	43	1	no	—
741	#2359	—	43	1	no	—
742	#2359	—	43	1	no	—
743	#2359	—	43	1	no	—
744	#2359	—	43	1	no	—
745	#2355	—	43	1	no	—
746	#2354	—	43	1	no	—
747	#2352	—	43	1	no	—
748	#2352	—	43	1	no	—
749	Q₈×C₄⋊C₄	—	43	1	no	—
750	D₄×C₄⋊C₄	—	43	1	no	—
751	D₄×C₄⋊C₄	—	43	1	no	—
752	D₄×C₄⋊C₄	—	43	1	no	—
753	#2334	—	43	1	no	—
754	#2334	—	43	1	no	—
755	#2334	—	43	1	no	—
756	#2334	D₄₃	1	1	yes	characteristic, complemented
757	#2314	—	43	1	no	—
758	#2314	—	43	1	no	—
759	C₄×C₂²⋊Q₈	—	43	1	no	—
760	C₄×C₂²⋊Q₈	—	43	1	no	—
761	C₄×#121	—	43	1	no	—
762	C₄×#121	—	43	1	no	—
763	#2285	—	43	1	no	—
764	#2274	—	43	1	no	—
765	#2274	—	43	1	no	—
766	C₂×C₄×C₄⋊C₄	—	43	1	no	—
767	C₂×C₄₃	—	4	2	no	—
768	C₂×C₄₃	C₂×C₄×#41	1	1	yes	characteristic
769	C₂×C₄₃	C₂×#520	1	1	yes	characteristic
770	C₂×C₄₃	C₂×#520	1	1	yes	characteristic
771	C₂×C₄₃	#3519	1	1	yes	characteristic
772	C₂×C₄₃	#3520	1	1	yes	characteristic
773	C₂×C₄₃	#3522	1	1	yes	characteristic
774	C₂×C₄₃	#3523	1	1	yes	characteristic
775	D₄₃	—	2	4	no	—
776	D₄₃	—	4	2	no	—
777	#529	—	43	16	no	—
778	C₂×#126	—	43	1	no	—
779	C₂×#126	C₂×D₄₃	1	1	yes	characteristic
780	C₂×#125	—	43	1	no	—
781	C₂×#124	—	43	1	no	—
782	C₂×#123	—	43	1	no	—
783	C₂×#123	—	43	1	no	—
784	C₂×C₂²⋊Q₈	—	43	1	no	—
785	C₂×#121	—	43	1	no	—
786	C₂×C₄×Q₈	—	43	1	no	—
787	C₂×C₄×Q₈	—	43	1	no	—
788	C₂×C₄×Q₈	—	43	1	no	—
789	C₂×C₄×D₄	—	43	1	no	—
790	C₂×C₄×D₄	—	43	1	no	—
791	C₂×C₄×D₄	—	43	1	no	—
792	C₂×C₄×D₄	—	43	1	no	—
793	C₂×C₄×D₄	—	43	1	no	—
794	C₂×C₄×D₄	—	43	1	no	—
795	C₂×C₄×D₄	—	43	1	no	—
796	C₂×C₄×D₄	—	43	1	no	—
797	C₂×C₄×D₄	—	43	1	no	—
798	C₂×#117	—	43	1	no	—
799	C₂×#117	—	43	1	no	—
800	C₂×#117	—	43	1	no	—
801	C₂×#117	—	43	1	no	—
802	C₂×#117	—	43	1	no	—
803	C₂×#117	—	43	1	no	—
804	C₂²×C₄⋊C₄	—	43	1	no	—
805	C₂²×C₄⋊C₄	—	43	1	no	—
806	C₂²×C₄⋊C₄	—	43	1	no	—
807	C₂²×C₄⋊C₄	—	43	1	no	—
808	C₂²×C₄²	—	43	1	no	—
809	C₂²×C₄²	—	43	1	no	—
810	C₂²×C₄²	—	43	1	no	—
811	#391	—	43	1	no	—
812	#391	—	43	1	no	—
813	#390	—	43	1	no	—
814	#390	—	43	1	no	—
815	#389	—	43	1	no	—
816	#389	—	43	1	no	—
817	#389	—	43	1	no	—
818	#389	—	43	1	no	—
819	#389	—	43	1	no	—
820	#389	—	43	1	no	—
821	#389	—	43	1	no	—
822	#389	—	43	1	no	—
823	#389	—	43	1	no	—
824	#389	—	43	1	no	—
825	#389	C₂×D₄₃	1	1	yes	characteristic
826	#389	C₂×D₄₃	1	1	yes	characteristic
827	#388	—	43	1	no	—
828	#388	—	43	1	no	—
829	#388	—	43	1	no	—
830	#388	—	43	1	no	—
831	#388	—	43	1	no	—
832	#388	—	43	1	no	—
833	#388	—	43	1	no	—
834	#388	—	43	1	no	—
835	#388	—	43	1	no	—
836	#388	—	43	1	no	—
837	#388	—	43	1	no	—
838	#388	—	43	1	no	—
839	#388	—	43	1	no	—
840	#388	C₂×D₄₃	1	1	yes	characteristic
841	#388	C₂×D₄₃	1	1	yes	characteristic
842	#388	C₂×D₄₃	1	1	yes	characteristic
843	#387	—	43	1	no	—
844	#387	—	43	1	no	—
845	#387	—	43	1	no	—
846	#387	—	43	1	no	—
847	#387	—	43	1	no	—
848	#387	—	43	1	no	—
849	#387	—	43	1	no	—
850	#387	—	43	1	no	—
851	#387	—	43	1	no	—
852	#387	—	43	1	no	—
853	#387	—	43	1	no	—
854	#387	—	43	1	no	—
855	#387	—	43	1	no	—
856	#387	C₂×D₄₃	1	1	yes	characteristic
857	#387	C₂×D₄₃	1	1	yes	characteristic
858	#387	C₂×D₄₃	1	1	yes	characteristic
859	#386	—	43	1	no	—
860	#386	—	43	1	no	—
861	#386	—	43	1	no	—
862	#386	—	43	1	no	—
863	#385	—	43	1	no	—
864	#385	—	43	1	no	—
865	#385	—	43	1	no	—
866	#385	—	43	1	no	—
867	#385	—	43	1	no	—
868	#385	—	43	1	no	—
869	#385	—	43	1	no	—
870	#385	—	43	1	no	—
871	#385	—	43	1	no	—
872	#385	—	43	1	no	—
873	#385	C₂×D₄₃	1	1	yes	characteristic
874	#385	C₂×D₄₃	1	1	yes	characteristic
875	#384	—	43	1	no	—
876	#384	—	43	1	no	—
877	#384	—	43	1	no	—
878	#384	—	43	1	no	—
879	#382	—	43	1	no	—
880	#382	—	43	1	no	—
881	#382	—	43	1	no	—
882	#382	C₂×D₄₃	1	1	yes	characteristic
883	#380	—	43	1	no	—
884	#380	—	43	1	no	—
885	#380	—	43	1	no	—
886	#380	—	43	1	no	—
887	#380	—	43	1	no	—
888	#380	—	43	1	no	—
889	#380	—	43	1	no	—
890	#380	—	43	1	no	—
891	C₄×C₄⋊C₄	—	43	1	no	—
892	C₄×C₄⋊C₄	—	43	1	no	—
893	C₄×C₄⋊C₄	—	43	1	no	—
894	C₄×C₄⋊C₄	—	43	1	no	—
895	C₄×C₄⋊C₄	—	43	1	no	—
896	C₄×C₄⋊C₄	—	43	1	no	—
897	C₄×C₄⋊C₄	—	43	1	no	—
898	C₄×C₄⋊C₄	—	43	1	no	—
899	C₄×C₄⋊C₄	—	43	1	no	—
900	C₄×C₄⋊C₄	—	43	1	no	—
901	C₄×C₄⋊C₄	—	43	1	no	—
902	C₄×C₄⋊C₄	—	43	1	no	—
903	C₄×C₄⋊C₄	—	43	1	no	—
904	C₄×C₄⋊C₄	—	43	1	no	—
905	C₄×C₄⋊C₄	—	43	1	no	—
906	C₄×C₄⋊C₄	—	43	1	no	—
907	C₄×C₄⋊C₄	—	43	1	no	—
908	C₄×C₄⋊C₄	—	43	1	no	—
909	C₄×C₄⋊C₄	—	43	1	no	—
910	C₄×C₄⋊C₄	—	43	1	no	—
911	C₄×C₄⋊C₄	—	43	1	no	—
912	C₄×C₄⋊C₄	—	43	1	no	—
913	C₄×C₄⋊C₄	—	43	1	no	—
914	C₄×C₄⋊C₄	—	43	1	no	—
915	C₄×C₄⋊C₄	—	43	1	no	—
916	C₄×C₄⋊C₄	—	43	1	no	—
917	C₄×C₄⋊C₄	C₂×D₄₃	1	1	yes	characteristic
918	C₄×C₄⋊C₄	C₂×D₄₃	1	1	yes	characteristic
919	C₄×C₂²⋊C₄	—	43	1	no	—
920	C₄×C₂²⋊C₄	—	43	1	no	—
921	C₄×C₂²⋊C₄	—	43	1	no	—
922	C₄×C₂²⋊C₄	—	43	1	no	—
923	C₄×C₂²⋊C₄	—	43	1	no	—
924	C₄×C₂²⋊C₄	—	43	1	no	—
925	C₄×C₂²⋊C₄	—	43	1	no	—
926	C₄×C₂²⋊C₄	—	43	1	no	—
927	C₄×C₂²⋊C₄	—	43	1	no	—
928	C₄×C₂²⋊C₄	—	43	1	no	—
929	C₄×C₂²⋊C₄	—	43	1	no	—
930	C₄×C₂²⋊C₄	C₂×D₄₃	1	1	yes	characteristic
931	C₂×#95	—	43	1	no	—
932	C₂×#95	—	43	1	no	—
933	C₄₃	#34243	1	1	yes	characteristic, complemented, Sylow
934	C₂²×Q₈	—	43	1	no	—
935	C₂²×D₄	—	43	1	no	—
936	C₂²×D₄	—	43	1	no	—
937	C₂²×D₄	—	43	1	no	—
938	C₂³×C₄	—	43	1	no	—
939	C₂³×C₄	—	43	1	no	—
940	C₂³×C₄	—	43	1	no	—
941	C₂³×C₄	—	43	1	no	—
942	C₂³×C₄	—	43	1	no	—
943	C₂³×C₄	—	43	1	no	—
944	C₂³×C₄	—	43	1	no	—
945	C₂³×C₄	—	43	1	no	—
946	C₂³×C₄	—	43	1	no	—
947	C₂³×C₄	—	43	1	no	—
948	C₂³×C₄	—	43	1	no	—
949	C₂³×C₄	—	43	1	no	—
950	C₂³×C₄	C₂²×D₄₃	1	1	yes	characteristic
951	#126	—	43	8	no	—
952	#126	C₄×D₄₃	1	8	yes	complemented
953	#125	—	43	8	no	—
954	#124	—	43	8	no	—
955	#123	—	43	8	no	—
956	#123	—	43	8	no	—
957	C₂²⋊Q₈	—	43	8	no	—
958	#121	—	43	8	no	—
959	C₄×Q₈	—	43	8	no	—
960	C₄×Q₈	—	172	2	no	—
961	C₄×Q₈	—	172	2	no	—
962	C₄×D₄	—	43	8	no	—
963	C₄×D₄	—	43	8	no	—
964	C₄×D₄	—	43	8	no	—
965	C₄×D₄	—	172	2	no	—
966	C₄×D₄	—	172	2	no	—
967	C₄×D₄	—	172	2	no	—
968	C₄×D₄	—	172	2	no	—
969	C₄×D₄	—	172	2	no	—
970	C₄×D₄	—	172	2	no	—
971	#117	—	43	8	no	—
972	#117	—	43	8	no	—
973	#117	—	86	4	no	—
974	#117	—	86	4	no	—
975	#117	—	172	2	no	—
976	#117	—	172	2	no	—
977	C₂×C₄⋊C₄	—	43	1	no	—
978	C₂×C₄⋊C₄	—	43	1	no	—
979	C₂×C₄⋊C₄	—	43	1	no	—
980	C₂×C₄⋊C₄	—	43	1	no	—
981	C₂×C₄⋊C₄	—	43	1	no	—
982	C₂×C₄⋊C₄	—	43	1	no	—
983	C₂×C₄⋊C₄	—	43	1	no	—
984	C₂×C₄⋊C₄	—	43	1	no	—
985	C₂×C₄⋊C₄	—	43	1	no	—
986	C₂×C₄⋊C₄	—	43	1	no	—
987	C₂×C₄⋊C₄	—	43	1	no	—
988	C₂×C₄⋊C₄	—	43	1	no	—
989	C₂×C₄⋊C₄	—	43	1	no	—
990	C₂×C₄⋊C₄	—	43	1	no	—
991	C₂×C₄⋊C₄	—	43	1	no	—
992	C₂×C₄⋊C₄	—	43	1	no	—
993	C₂×C₄⋊C₄	—	43	1	no	—
994	C₂×C₄⋊C₄	—	43	1	no	—
995	C₂×C₄⋊C₄	—	43	1	no	—
996	C₂×C₄⋊C₄	—	43	1	no	—
997	C₂×C₄⋊C₄	—	43	1	no	—
998	C₂×C₄⋊C₄	—	43	1	no	—
999	C₂×C₄⋊C₄	—	43	1	no	—
1000	C₂×C₄⋊C₄	—	43	1	no	—
1001	C₂×C₄⋊C₄	—	43	1	no	—
1002	C₂×C₄⋊C₄	—	43	1	no	—
1003	C₂×C₄⋊C₄	—	43	1	no	—
1004	C₂×C₄⋊C₄	—	43	1	no	—
1005	C₂×C₄⋊C₄	—	43	1	no	—
1006	C₂×C₄⋊C₄	—	43	1	no	—
1007	C₂×C₄⋊C₄	—	43	1	no	—
1008	C₂×C₄⋊C₄	—	43	1	no	—
1009	C₂×C₄⋊C₄	—	86	4	no	—
1010	C₂×C₄⋊C₄	—	86	4	no	—
1011	C₂×C₄⋊C₄	—	86	4	no	—
1012	C₂×C₄⋊C₄	—	86	4	no	—
1013	C₂×C₄⋊C₄	C₂²×D₄₃	1	1	yes	characteristic
1014	C₂×C₄⋊C₄	C₂²×D₄₃	1	1	yes	characteristic
1015	C₂×C₄⋊C₄	C₂²×D₄₃	1	1	yes	characteristic
1016	C₂×C₄⋊C₄	C₂²×D₄₃	1	1	yes	characteristic
1017	C₂×C₄⋊C₄	C₂²×D₄₃	1	1	yes	characteristic
1018	C₂×C₄⋊C₄	C₂²×D₄₃	1	1	yes	characteristic
1019	C₂×C₄⋊C₄	C₂²×D₄₃	1	1	yes	characteristic
1020	C₂×C₄⋊C₄	C₂²×D₄₃	1	1	yes	characteristic
1021	C₂×C₄⋊C₄	C₂²×D₄₃	1	1	yes	characteristic
1022	C₂×C₄⋊C₄	C₂²×D₄₃	1	1	yes	characteristic
1023	C₂×C₂²⋊C₄	—	43	1	no	—
1024	C₂×C₂²⋊C₄	—	43	1	no	—
1025	C₂×C₂²⋊C₄	—	43	1	no	—
1026	C₂×C₂²⋊C₄	—	43	1	no	—
1027	C₂×C₂²⋊C₄	—	43	1	no	—
1028	C₂×C₂²⋊C₄	—	43	1	no	—
1029	C₂×C₂²⋊C₄	—	43	1	no	—
1030	C₂×C₂²⋊C₄	—	43	1	no	—
1031	C₂×C₂²⋊C₄	—	43	1	no	—
1032	C₂×C₂²⋊C₄	—	43	1	no	—
1033	C₂×C₂²⋊C₄	—	43	1	no	—
1034	C₂×C₂²⋊C₄	—	43	1	no	—
1035	C₂×C₂²⋊C₄	—	43	1	no	—
1036	C₂×C₂²⋊C₄	—	43	1	no	—
1037	C₂×C₂²⋊C₄	—	43	1	no	—
1038	C₂×C₂²⋊C₄	—	43	1	no	—
1039	C₂×C₂²⋊C₄	—	43	1	no	—
1040	C₂×C₂²⋊C₄	—	43	1	no	—
1041	C₂×C₂²⋊C₄	—	43	1	no	—
1042	C₂×C₂²⋊C₄	—	43	1	no	—
1043	C₂×C₂²⋊C₄	C₂²×D₄₃	1	1	yes	characteristic
1044	C₂×C₂²⋊C₄	C₂²×D₄₃	1	1	yes	characteristic
1045	C₂×C₂²⋊C₄	C₂²×D₄₃	1	1	yes	characteristic
1046	C₂×C₂²⋊C₄	C₂²×D₄₃	1	1	yes	characteristic
1047	C₂×C₂²⋊C₄	C₂²×D₄₃	1	1	yes	characteristic
1048	C₂×C₂²⋊C₄	C₂²×D₄₃	1	1	yes	characteristic
1049	C₂×C₄²	—	43	1	no	—
1050	C₂×C₄²	—	43	1	no	—
1051	C₂×C₄²	—	43	1	no	—
1052	C₂×C₄²	—	43	1	no	—
1053	C₂×C₄²	—	43	1	no	—
1054	C₂×C₄²	—	43	8	no	—
1055	C₂×C₄²	—	43	1	no	—
1056	C₂×C₄²	—	43	1	no	—
1057	C₂×C₄²	—	43	1	no	—
1058	C₂×C₄²	—	43	1	no	—
1059	C₂×C₄²	—	43	1	no	—
1060	C₂×C₄²	—	43	1	no	—
1061	C₂×C₄²	—	43	1	no	—
1062	C₂×C₄²	—	43	1	no	—
1063	C₂×C₄²	—	43	1	no	—
1064	C₂×C₄²	—	43	1	no	—
1065	C₂×C₄²	—	43	1	no	—
1066	C₂×C₄²	—	43	1	no	—
1067	C₂×C₄²	—	43	1	no	—
1068	C₂×C₄²	—	43	1	no	—
1069	C₂×C₄²	—	43	1	no	—
1070	C₂×C₄²	—	43	1	no	—
1071	C₂×C₄²	—	43	1	no	—
1072	C₂×C₄²	—	43	1	no	—
1073	C₂×C₄²	—	43	1	no	—
1074	C₂×C₄²	—	172	2	no	—
1075	C₂×C₄²	—	172	2	no	—
1076	C₂×C₄²	C₂²×D₄₃	1	1	yes	characteristic
1077	C₂×C₄²	C₂²×D₄₃	1	1	yes	characteristic
1078	C₂×C₄²	C₂²×D₄₃	1	1	yes	characteristic
1079	C₂×C₄²	C₂²×D₄₃	1	1	yes	characteristic
1080	C₂×C₄²	C₂²×D₄₃	1	1	yes	characteristic
1081	C₂×C₄²	C₂²×D₄₃	1	1	yes	characteristic
1082	#95	—	43	1	no	—
1083	#95	—	43	1	no	—
1084	#95	—	43	1	no	—
1085	#95	—	43	1	no	—
1086	#95	—	43	1	no	—
1087	#95	—	43	1	no	—
1088	#95	—	43	1	no	—
1089	#95	—	43	1	no	—
1090	#95	—	43	1	no	—
1091	#95	—	43	1	no	—
1092	#95	—	43	1	no	—
1093	#95	—	43	1	no	—
1094	#95	—	43	1	no	—
1095	#95	—	43	1	no	—
1096	#95	—	43	1	no	—
1097	#95	—	43	1	no	—
1098	#95	—	43	1	no	—
1099	#95	—	43	1	no	—
1100	#95	—	43	1	no	—
1101	#95	—	43	1	no	—
1102	#95	—	43	1	no	—
1103	#95	—	43	1	no	—
1104	#95	—	43	1	no	—
1105	#95	—	43	1	no	—
1106	#95	—	43	1	no	—
1107	#95	—	43	1	no	—
1108	#95	—	43	1	no	—
1109	#95	—	43	1	no	—
1110	#95	C₂²×D₄₃	1	1	yes	characteristic
1111	#95	C₂²×D₄₃	1	1	yes	characteristic
1112	#95	C₂²×D₄₃	1	1	yes	characteristic
1113	#95	C₂²×D₄₃	1	1	yes	characteristic
1114	#95	C₂²×D₄₃	1	1	yes	characteristic
1115	#95	C₂²×D₄₃	1	1	yes	characteristic
1116	#95	C₂²×D₄₃	1	1	yes	characteristic
1117	#95	C₂²×D₄₃	1	1	yes	characteristic
1118	#95	C₂²×D₄₃	1	1	yes	characteristic
1119	#95	C₂²×D₄₃	1	1	yes	characteristic
1120	#95	C₂²×D₄₃	1	1	yes	characteristic
1121	#95	C₂²×D₄₃	1	1	yes	characteristic
1122	C₂⁴	—	43	1	no	—
1123	C₂⁴	—	43	1	no	—
1124	C₂⁴	C₂³×D₄₃	1	1	yes	characteristic
1125	C₂×Q₈	—	43	4	no	—
1126	C₂×Q₈	—	86	2	no	—
1127	C₂×Q₈	—	86	2	no	—
1128	C₂×D₄	—	43	4	no	—
1129	C₂×D₄	—	43	4	no	—
1130	C₂×D₄	—	43	4	no	—
1131	C₂×D₄	—	86	2	no	—
1132	C₂×D₄	—	86	2	no	—
1133	C₂×D₄	—	86	2	no	—
1134	C₂×D₄	—	86	2	no	—
1135	C₂×D₄	—	86	2	no	—
1136	C₂×D₄	—	86	2	no	—
1137	C₂²×C₄	—	2	2	no	—
1138	C₂²×C₄	—	4	1	no	—
1139	C₂²×C₄	—	4	1	no	—
1140	C₂²×C₄	—	43	1	no	—
1141	C₂²×C₄	—	43	1	no	—
1142	C₂²×C₄	—	43	4	no	—
1143	C₂²×C₄	—	43	1	no	—
1144	C₂²×C₄	—	43	1	no	—
1145	C₂²×C₄	—	43	1	no	—
1146	C₂²×C₄	—	43	1	no	—
1147	C₂²×C₄	—	43	1	no	—
1148	C₂²×C₄	—	43	1	no	—
1149	C₂²×C₄	—	43	4	no	—
1150	C₂²×C₄	—	43	4	no	—
1151	C₂²×C₄	—	43	4	no	—
1152	C₂²×C₄	—	43	4	no	—
1153	C₂²×C₄	—	43	1	no	—
1154	C₂²×C₄	—	43	1	no	—
1155	C₂²×C₄	—	43	1	no	—
1156	C₂²×C₄	—	43	1	no	—
1157	C₂²×C₄	—	43	1	no	—
1158	C₂²×C₄	—	43	1	no	—
1159	C₂²×C₄	—	86	2	no	—
1160	C₂²×C₄	—	86	2	no	—
1161	C₂²×C₄	—	86	2	no	—
1162	C₂²×C₄	—	86	2	no	—
1163	C₂²×C₄	—	86	2	no	—
1164	C₂²×C₄	—	86	2	no	—
1165	C₂²×C₄	—	86	2	no	—
1166	C₂²×C₄	—	86	2	no	—
1167	C₂²×C₄	—	86	2	no	—
1168	C₂²×C₄	—	86	2	no	—
1169	C₂²×C₄	—	86	2	no	—
1170	C₂²×C₄	—	86	2	no	—
1171	C₂²×C₄	—	86	2	no	—
1172	C₂²×C₄	—	86	2	no	—
1173	C₂²×C₄	—	86	2	no	—
1174	C₂²×C₄	—	86	2	no	—
1175	C₂²×C₄	—	86	2	no	—
1176	C₂²×C₄	—	86	2	no	—
1177	C₂²×C₄	—	86	2	no	—
1178	C₂²×C₄	—	86	2	no	—
1179	C₂²×C₄	—	86	2	no	—
1180	C₂²×C₄	—	172	1	no	—
1181	C₂²×C₄	—	172	1	no	—
1182	C₂²×C₄	—	172	1	no	—
1183	C₂²×C₄	—	172	1	no	—
1184	C₂²×C₄	—	172	1	no	—
1185	C₂²×C₄	—	172	1	no	—
1186	C₂²×C₄	—	172	1	no	—
1187	C₂²×C₄	—	172	1	no	—
1188	C₂²×C₄	—	172	1	no	—
1189	C₂²×C₄	—	172	1	no	—
1190	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
1191	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
1192	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
1193	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
1194	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
1195	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
1196	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
1197	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
1198	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
1199	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
1200	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
1201	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
1202	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
1203	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
1204	C₄⋊C₄	—	2	2	no	—
1205	C₄⋊C₄	—	2	2	no	—
1206	C₄⋊C₄	—	2	2	no	—
1207	C₄⋊C₄	—	4	1	no	—
1208	C₄⋊C₄	—	4	1	no	—
1209	C₄⋊C₄	—	4	1	no	—
1210	C₄⋊C₄	—	4	1	no	—
1211	C₄⋊C₄	—	43	4	no	—
1212	C₄⋊C₄	—	43	4	no	—
1213	C₄⋊C₄	—	43	4	no	—
1214	C₄⋊C₄	—	43	4	no	—
1215	C₄⋊C₄	—	43	4	no	—
1216	C₄⋊C₄	—	43	4	no	—
1217	C₄⋊C₄	—	43	4	no	—
1218	C₄⋊C₄	—	43	4	no	—
1219	C₄⋊C₄	—	43	4	no	—
1220	C₄⋊C₄	—	86	2	no	—
1221	C₄⋊C₄	—	86	2	no	—
1222	C₄⋊C₄	—	86	2	no	—
1223	C₄⋊C₄	—	86	2	no	—
1224	C₄⋊C₄	—	86	2	no	—
1225	C₄⋊C₄	—	86	2	no	—
1226	C₄⋊C₄	—	86	2	no	—
1227	C₄⋊C₄	—	86	2	no	—
1228	C₄⋊C₄	—	86	2	no	—
1229	C₄⋊C₄	—	86	2	no	—
1230	C₄⋊C₄	—	86	2	no	—
1231	C₄⋊C₄	—	86	2	no	—
1232	C₄⋊C₄	—	86	2	no	—
1233	C₄⋊C₄	—	86	2	no	—
1234	C₄⋊C₄	—	86	2	no	—
1235	C₄⋊C₄	—	172	1	no	—
1236	C₄⋊C₄	—	172	1	no	—
1237	C₄⋊C₄	—	172	1	no	—
1238	C₄⋊C₄	—	172	1	no	—
1239	C₄⋊C₄	—	172	1	no	—
1240	C₄⋊C₄	—	172	1	no	—
1241	C₄⋊C₄	—	172	1	no	—
1242	C₄⋊C₄	—	172	1	no	—
1243	C₄⋊C₄	C₂×C₄×D₄₃	1	4	yes	—
1244	C₄⋊C₄	C₂×C₄×D₄₃	1	4	yes	—
1245	C₄⋊C₄	C₂×C₄×D₄₃	1	4	yes	—
1246	C₂²⋊C₄	—	2	2	no	—
1247	C₂²⋊C₄	—	4	1	no	—
1248	C₂²⋊C₄	—	4	1	no	—
1249	C₂²⋊C₄	—	43	4	no	—
1250	C₂²⋊C₄	—	43	4	no	—
1251	C₂²⋊C₄	—	43	4	no	—
1252	C₂²⋊C₄	—	43	4	no	—
1253	C₂²⋊C₄	—	43	4	no	—
1254	C₂²⋊C₄	—	43	4	no	—
1255	C₂²⋊C₄	—	43	4	no	—
1256	C₂²⋊C₄	—	86	2	no	—
1257	C₂²⋊C₄	—	86	2	no	—
1258	C₂²⋊C₄	—	86	2	no	—
1259	C₂²⋊C₄	—	86	2	no	—
1260	C₂²⋊C₄	—	86	2	no	—
1261	C₂²⋊C₄	—	86	2	no	—
1262	C₂²⋊C₄	—	86	2	no	—
1263	C₂²⋊C₄	—	172	1	no	—
1264	C₂²⋊C₄	—	172	1	no	—
1265	C₂²⋊C₄	—	172	1	no	—
1266	C₂²⋊C₄	—	172	1	no	—
1267	C₂²⋊C₄	—	172	1	no	—
1268	C₂²⋊C₄	—	172	1	no	—
1269	C₂²⋊C₄	C₂×C₄×D₄₃	1	4	yes	—
1270	C₂²⋊C₄	C₂×C₄×D₄₃	1	4	yes	—
1271	C₂²⋊C₄	C₂×C₄×D₄₃	1	4	yes	—
1272	C₄²	—	2	2	no	—
1273	C₄²	—	4	1	no	—
1274	C₄²	—	4	1	no	—
1275	C₄²	—	4	1	no	—
1276	C₄²	—	4	1	no	—
1277	C₄²	—	43	4	no	—
1278	C₄²	—	43	4	no	—
1279	C₄²	—	43	4	no	—
1280	C₄²	—	43	4	no	—
1281	C₄²	—	43	4	no	—
1282	C₄²	—	86	2	no	—
1283	C₄²	—	86	2	no	—
1284	C₄²	—	86	2	no	—
1285	C₄²	—	86	2	no	—
1286	C₄²	—	86	2	no	—
1287	C₄²	—	86	2	no	—
1288	C₄²	—	86	2	no	—
1289	C₄²	—	172	1	no	—
1290	C₄²	—	172	1	no	—
1291	C₄²	—	172	1	no	—
1292	C₄²	—	172	1	no	—
1293	C₄²	—	172	1	no	—
1294	C₄²	—	172	1	no	—
1295	C₄²	—	172	1	no	—
1296	C₄²	—	172	1	no	—
1297	C₄²	—	172	1	no	—
1298	C₄²	—	172	1	no	—
1299	C₄²	—	172	1	no	—
1300	C₄²	—	172	1	no	—
1301	C₄²	C₂×C₄×D₄₃	1	4	yes	—
1302	C₂³	—	2	1	no	—
1303	C₂³	—	2	1	no	—
1304	C₂³	—	2	1	no	—
1305	C₂³	—	2	1	no	—
1306	C₂³	—	2	1	no	—
1307	C₂³	—	2	1	no	—
1308	C₂³	—	43	2	no	—
1309	C₂³	—	43	2	no	—
1310	C₂³	—	43	2	no	—
1311	C₂³	—	43	2	no	—
1312	C₂³	—	86	1	no	—
1313	C₂³	—	86	1	no	—
1314	C₂³	—	86	1	no	—
1315	C₂³	—	86	1	no	—
1316	C₂³	—	86	1	no	—
1317	C₂³	—	86	1	no	—
1318	C₂³	—	86	1	no	—
1319	C₂³	—	86	1	no	—
1320	C₂³	—	86	1	no	—
1321	C₂³	—	86	1	no	—
1322	C₂³	C₂²×C₄×D₄₃	1	2	yes	—
1323	C₂³	C₂⁴×D₄₃	1	1	yes	characteristic
1324	Q₈	—	86	8	no	—
1325	D₄	—	86	8	no	—
1326	D₄	—	86	8	no	—
1327	D₄	—	86	8	no	—
1328	C₂×C₄	—	2	1	no	—
1329	C₂×C₄	—	2	1	no	—
1330	C₂×C₄	—	2	1	no	—
1331	C₂×C₄	—	2	1	no	—
1332	C₂×C₄	—	2	1	no	—
1333	C₂×C₄	—	2	1	no	—
1334	C₂×C₄	—	2	1	no	—
1335	C₂×C₄	—	2	1	no	—
1336	C₂×C₄	—	2	1	no	—
1337	C₂×C₄	—	2	1	no	—
1338	C₂×C₄	—	2	1	no	—
1339	C₂×C₄	—	2	1	no	—
1340	C₂×C₄	—	2	1	no	—
1341	C₂×C₄	—	2	1	no	—
1342	C₂×C₄	—	2	1	no	—
1343	C₂×C₄	—	2	1	no	—
1344	C₂×C₄	—	2	1	no	—
1345	C₂×C₄	—	2	1	no	—
1346	C₂×C₄	—	2	1	no	—
1347	C₂×C₄	—	2	1	no	—
1348	C₂×C₄	—	2	1	no	—
1349	C₂×C₄	—	2	1	no	—
1350	C₂×C₄	—	2	1	no	—
1351	C₂×C₄	—	2	1	no	—
1352	C₂×C₄	—	2	1	no	—
1353	C₂×C₄	—	2	1	no	—
1354	C₂×C₄	—	2	1	no	—
1355	C₂×C₄	—	2	1	no	—
1356	C₂×C₄	—	2	1	no	—
1357	C₂×C₄	—	2	1	no	—
1358	C₂×C₄	—	2	1	no	—
1359	C₂×C₄	—	2	1	no	—
1360	C₂×C₄	—	2	1	no	—
1361	C₂×C₄	—	2	1	no	—
1362	C₂×C₄	—	8	2	no	—
1363	C₂×C₄	—	43	2	no	—
1364	C₂×C₄	—	43	2	no	—
1365	C₂×C₄	—	43	2	no	—
1366	C₂×C₄	—	43	2	no	—
1367	C₂×C₄	—	43	2	no	—
1368	C₂×C₄	—	43	2	no	—
1369	C₂×C₄	—	43	2	no	—
1370	C₂×C₄	—	43	2	no	—
1371	C₂×C₄	—	43	2	no	—
1372	C₂×C₄	—	43	2	no	—
1373	C₂×C₄	—	43	2	no	—
1374	C₂×C₄	—	43	2	no	—
1375	C₂×C₄	—	86	8	no	—
1376	C₂×C₄	—	86	8	no	—
1377	C₂×C₄	—	86	8	no	—
1378	C₂×C₄	—	86	8	no	—
1379	C₂×C₄	—	86	8	no	—
1380	C₂×C₄	—	86	1	no	—
1381	C₂×C₄	—	86	1	no	—
1382	C₂×C₄	—	86	1	no	—
1383	C₂×C₄	—	86	1	no	—
1384	C₂×C₄	—	86	1	no	—
1385	C₂×C₄	—	86	1	no	—
1386	C₂×C₄	—	86	1	no	—
1387	C₂×C₄	—	86	1	no	—
1388	C₂×C₄	—	86	1	no	—
1389	C₂×C₄	—	86	1	no	—
1390	C₂×C₄	—	86	1	no	—
1391	C₂×C₄	—	86	1	no	—
1392	C₂×C₄	—	86	1	no	—
1393	C₂×C₄	—	86	1	no	—
1394	C₂×C₄	—	86	1	no	—
1395	C₂×C₄	—	86	1	no	—
1396	C₂×C₄	—	86	1	no	—
1397	C₂×C₄	—	86	1	no	—
1398	C₂×C₄	—	86	1	no	—
1399	C₂×C₄	—	86	1	no	—
1400	C₂×C₄	—	86	1	no	—
1401	C₂×C₄	—	86	1	no	—
1402	C₂×C₄	—	86	1	no	—
1403	C₂×C₄	—	86	1	no	—
1404	C₂×C₄	—	86	1	no	—
1405	C₂×C₄	—	86	1	no	—
1406	C₂×C₄	—	86	1	no	—
1407	C₂×C₄	—	86	1	no	—
1408	C₂×C₄	—	86	1	no	—
1409	C₂×C₄	—	86	1	no	—
1410	C₂×C₄	—	344	2	no	—
1411	C₂×C₄	—	344	2	no	—
1412	C₂×C₄	—	344	2	no	—
1413	C₂×C₄	—	172	4	no	—
1414	C₂×C₄	—	172	4	no	—
1415	C₂×C₄	—	172	4	no	—
1416	C₂×C₄	—	172	4	no	—
1417	C₂×C₄	C₂²×C₄×D₄₃	1	2	yes	—
1418	C₂×C₄	C₂²×C₄×D₄₃	1	2	yes	—
1419	C₂×C₄	C₂²×C₄×D₄₃	1	2	yes	—
1420	C₂×C₄	C₂²×C₄×D₄₃	1	2	yes	—
1421	C₂×C₄	C₂²×C₄×D₄₃	1	2	yes	—
1422	C₂×C₄	C₂²×C₄×D₄₃	1	2	yes	—
1423	C₂×C₄	#41×D₄₃	1	2	yes	—
1424	C₂×C₄	#41×D₄₃	1	2	yes	—
1425	C₂²	—	2	2	no	—
1426	C₂²	—	2	2	no	—
1427	C₂²	—	2	2	no	—
1428	C₂²	—	4	1	no	—
1429	C₂²	—	4	1	no	—
1430	C₂²	—	4	1	no	—
1431	C₂²	—	4	1	no	—
1432	C₂²	—	43	4	no	—
1433	C₂²	—	86	2	no	—
1434	C₂²	—	86	2	no	—
1435	C₂²	—	86	2	no	—
1436	C₂²	—	86	2	no	—
1437	C₂²	—	86	2	no	—
1438	C₂²	—	86	2	no	—
1439	C₂²	—	86	2	no	—
1440	C₂²	—	86	2	no	—
1441	C₂²	—	86	2	no	—
1442	C₂²	—	172	1	no	—
1443	C₂²	—	172	1	no	—
1444	C₂²	—	172	1	no	—
1445	C₂²	—	172	1	no	—
1446	C₂²	C₂³×C₄×D₄₃	1	1	yes	characteristic
1447	C₂²	C₂×#41×D₄₃	1	1	yes	characteristic
1448	C₂²	C₂×#41×D₄₃	1	1	yes	characteristic
1449	C₂²	H(5,𝔽₂)×D₄₃	1	1	yes	characteristic
1450	C₂²	H(5,𝔽₂)×D₄₃	1	1	yes	characteristic
1451	C₂²	2₋¹⁺⁴×D₄₃	1	1	yes	characteristic
1452	C₂²	2₋¹⁺⁴×D₄₃	1	1	yes	characteristic
1453	C₄	—	2	2	no	—
1454	C₄	—	2	2	no	—
1455	C₄	—	2	2	no	—
1456	C₄	—	2	2	no	—
1457	C₄	—	2	2	no	—
1458	C₄	—	2	2	no	—
1459	C₄	—	2	2	no	—
1460	C₄	—	2	2	no	—
1461	C₄	—	4	1	no	—
1462	C₄	—	4	1	no	—
1463	C₄	—	4	1	no	—
1464	C₄	—	4	1	no	—
1465	C₄	—	4	1	no	—
1466	C₄	—	4	1	no	—
1467	C₄	—	43	4	no	—
1468	C₄	—	43	4	no	—
1469	C₄	—	86	2	no	—
1470	C₄	—	86	2	no	—
1471	C₄	—	86	2	no	—
1472	C₄	—	86	2	no	—
1473	C₄	—	86	2	no	—
1474	C₄	—	86	2	no	—
1475	C₄	—	172	1	no	—
1476	C₄	—	172	1	no	—
1477	C₄	—	172	1	no	—
1478	C₄	—	172	1	no	—
1479	C₄	—	172	1	no	—
1480	C₄	—	172	1	no	—
1481	C₂	—	4	2	no	—
1482	C₂	—	86	4	no	—
1483	C₂	—	172	2	no	—
1484	C₂	C₄×#41×D₄₃	1	1	yes	characteristic
1485	C₂	#520×D₄₃	1	1	yes	characteristic
1486	C₂	#520×D₄₃	1	1	yes	characteristic
1487	C₂	#19148619	1	1	yes	characteristic
1488	C₂	#19148636	1	1	yes	characteristic
1489	C₂	#19148676	1	1	yes	characteristic
1490	C₂	#19148687	1	1	yes	characteristic

	subgroup	G/H
center, Frattini	C₂³	C₂⁴×D₄₃
commutator	C₂²×C₄₃	C₂⁴×C₄
Fitting	C₄₃×#2334	C₂
socle, cosocle	C₂³×C₄₃	C₂⁵
prime radical	C₂×#13063298	C₂²
hypercenter	#2334	D₄₃
hypocenter	C₄₃	#34243
LCS	G ▷ C₂²×C₄₃ ▷ C₄₃
UCS	C₁ ◁ C₂³ ◁ #2334

Complements

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

N	H ≅ G/N	type
2. #19137694	C₂	semidirect
3. #19137688	C₂	semidirect
4. #19137669	C₂	semidirect
5. #19137663	C₂	semidirect
6. #19137594	C₂	semidirect
7. #19137590	C₂	semidirect
8. #19137586	C₂	semidirect
9. #19137582	C₂	semidirect
10. #19137549	C₂	semidirect
11. #19137541	C₂	semidirect
12. #19137523	C₂	semidirect
13. #19137519	C₂	semidirect
14. #19137509	C₂	semidirect
15. #19137496	C₂	semidirect
16. #19137493	C₂	semidirect
17. #19137493	C₂	semidirect
18. #19137374	C₂	semidirect
19. #19137370	C₂	semidirect
20. #19137366	C₂	semidirect
21. #19137201	C₂	semidirect
22. #19137199	C₂	semidirect
23. #19137129	C₂	semidirect
24. C₄×#13063303	C₂	semidirect
27. #19137001	C₂	semidirect
28. #19136950	C₂	semidirect
29. #19136949	C₂	semidirect
30. C₄×C₄⋊C₄×D₄₃	C₂	semidirect
31. C₄₃×#2334	C₂	semidirect
32. #14583432	C₄	semidirect
204. #13063319	C₂×C₄	semidirect
205. #13063315	C₂×C₄	semidirect
206. #13063311	C₂×C₄	semidirect
207. #13063310	C₂×C₄	semidirect
208. #13063307	C₂×C₄	semidirect
209. #13063303	C₂×C₄	semidirect
213. #13063290	C₂×C₄	semidirect
216. #13063287	C₂×C₄	semidirect
221. (C₂²⋊D₄₃)⋊C₄	C₂×C₄	semidirect
222. (C₂²⋊D₄₃)⋊C₄	C₂×C₄	semidirect
225. #13063283	C₂×C₄	semidirect
228. #13063281	C₂×C₄	semidirect
311. C₄²×D₄₃	C₂×C₄	semidirect
341. #126×C₄₃	C₂×C₄	semidirect
756. #2334	D₄₃	semidirect
933. C₄₃	#34243	semidirect
952. #126	C₄×D₄₃	semidirect

Maximal subgroups

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

subgroup	index
C₂×#14583432	2
#19137694	2
#19137688	2
#19137669	2
#19137663	2
#19137594	2
#19137590	2
#19137586	2
#19137582	2
#19137549	2
#19137541	2
#19137523	2
#19137519	2
#19137509	2
#19137496	2
#19137493	2
#19137374	2
#19137370	2
#19137366	2
#19137201	2
#19137199	2
#19137129	2
C₄×#13063303	2
#19137107	2
C₄×#13063298	2
#19137001	2
#19136950	2
#19136949	2
C₄×C₄⋊C₄×D₄₃	2
C₄₃×#2334	2
#34243	43