Subgroups — C₄×#14583515 #25255715

Order 11008.

2294 conjugacy classes of subgroups.

The subgroup lattice has 1460 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×#14583515	C₂	1	1	yes	maximal, characteristic
2	#19137406	C₂	1	1	yes	maximal, characteristic, complemented
3	#19137405	C₂	1	1	yes	maximal, characteristic, complemented
4	#19137390	C₂	1	1	yes	maximal, characteristic, complemented
5	#19137384	C₂	1	1	yes	maximal, characteristic, complemented
6	#19137376	C₂	1	1	yes	maximal, characteristic, complemented
7	#19137374	C₂	1	1	yes	maximal, characteristic, complemented
8	#19137347	C₂	1	1	yes	maximal, characteristic, complemented
9	#19137345	C₂	1	1	yes	maximal, characteristic, complemented
10	#19137340	C₂	1	1	yes	maximal, characteristic, complemented
11	#19137304	C₂	1	1	yes	maximal, characteristic, complemented
12	#19137283	C₂	1	1	yes	maximal, characteristic
13	#19137276	C₂	1	1	yes	maximal, characteristic, complemented
14	#19137245	C₂	1	1	yes	maximal, characteristic, complemented
15	#19137236	C₂	1	1	yes	maximal, characteristic, complemented
16	#19137201	C₂	1	1	yes	maximal, characteristic, complemented
17	C₄×#13063324	C₂	1	1	yes	maximal, characteristic, complemented
18	C₄×#13063320	C₂	1	1	yes	maximal, characteristic, complemented
19	C₄×#13063313	C₂	1	1	yes	maximal, characteristic, complemented
20	C₄×#13063311	C₂	1	1	yes	maximal, characteristic, complemented
21	C₄×#13063311	C₂	1	1	yes	maximal, characteristic, complemented
22	C₄×#13063305	C₂	1	1	yes	maximal, characteristic, complemented
23	C₄×#13063303	C₂	1	1	yes	maximal, characteristic, complemented
24	C₄×#13063302	C₂	1	1	yes	maximal, characteristic, complemented
25	C₄×#13063310	C₂	1	1	yes	maximal, characteristic, complemented
26	C₄×#13063309	C₂	1	1	yes	maximal, characteristic, complemented
27	C₄×#13063298	C₂	1	1	yes	maximal, characteristic
28	C₄²×Dic₈₆	C₂	1	1	yes	maximal, characteristic, complemented
29	C₄×(C₂²⋊D₄₃)⋊C₄	C₂	1	1	yes	maximal, characteristic, complemented
30	C₄×#13063283	C₂	1	1	yes	maximal, characteristic, complemented
31	C₄×#126×C₄₃	C₂	1	1	yes	maximal, characteristic, complemented
32	#14583515	C₄	1	16	yes	direct product factor
33	C₂×#13063324	C₂²	1	1	yes	characteristic
34	C₂×#13063320	C₂²	1	1	yes	characteristic
35	C₂×#13063313	C₂²	1	1	yes	characteristic
36	C₂×#13063311	C₂²	1	1	yes	characteristic
37	C₂×#13063311	C₂²	1	1	yes	characteristic
38	C₂×#13063310	C₂²	1	1	yes	characteristic
39	C₂×#13063309	C₂²	1	1	yes	characteristic
40	C₂×#13063305	C₂²	1	1	yes	characteristic
41	C₂×#13063303	C₂²	1	1	yes	characteristic
42	C₂×#13063302	C₂²	1	1	yes	characteristic
43	C₂×#13063298	C₂²	1	1	yes	characteristic
44	C₂×C₄×Dic₈₆	C₂²	1	1	yes	characteristic
45	C₂×C₄×Dic₈₆	C₂²	1	1	yes	characteristic
46	C₂×C₄×Dic₈₆	C₂²	1	1	yes	characteristic
47	C₂×C₄×Dic₈₆	C₂²	1	1	yes	characteristic
48	C₂×C₄×Dic₈₆	C₂²	1	1	yes	characteristic
49	C₂×C₄×D₁₇₂	C₂²	1	1	yes	characteristic
50	C₂×C₄×C₂²⋊D₄₃	C₂²	1	1	yes	characteristic
51	C₂×C₄×C₂²⋊D₄₃	C₂²	1	1	yes	characteristic
52	C₂×(C₂²⋊D₄₃)⋊C₄	C₂²	1	1	yes	characteristic
53	C₂×(C₂²⋊D₄₃)⋊C₄	C₂²	1	1	yes	characteristic
54	C₂×#13063283	C₂²	1	1	yes	characteristic
55	C₂×#13063283	C₂²	1	1	yes	characteristic
56	C₂²×C₄×Dic₄₃	C₂²	1	1	yes	characteristic
57	C₂×C₄²×D₄₃	C₂²	1	1	yes	characteristic
58	C₂×C₄²×D₄₃	C₂²	1	1	yes	characteristic
59	#14582805	C₂²	1	1	yes	characteristic
60	#14582804	C₂²	1	1	yes	characteristic
61	#14582803	C₂²	1	1	yes	characteristic
62	#14582803	C₂²	1	1	yes	characteristic
63	#14582803	C₂²	1	1	yes	characteristic
64	#14582803	C₂²	1	1	yes	characteristic
65	#14582803	C₂²	1	1	yes	characteristic
66	#14582803	C₂²	1	1	yes	characteristic
67	#14582801	C₂²	1	1	yes	characteristic
68	#14582799	C₂²	1	1	yes	characteristic
69	#14582799	C₂²	1	1	yes	characteristic
70	#14582799	C₂²	1	1	yes	characteristic
71	#14582798	C₂²	1	1	yes	characteristic
72	#14582798	C₂²	1	1	yes	characteristic
73	#14582796	C₂²	1	1	yes	characteristic
74	#14582796	C₂²	1	1	yes	characteristic
75	#14582796	C₂²	1	1	yes	characteristic
76	#14582796	C₂²	1	1	yes	characteristic
77	#14582795	C₂²	1	1	yes	characteristic
78	#14582794	C₂²	1	1	yes	characteristic
79	#14582792	C₂²	1	1	yes	characteristic
80	#14582792	C₂²	1	1	yes	characteristic
81	#14582792	C₂²	1	1	yes	characteristic
82	#14582791	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	#14582791	C₂²	1	1	yes	characteristic
87	#14582790	C₂²	1	1	yes	characteristic
88	#14582790	C₂²	1	1	yes	characteristic
89	#14582790	C₂²	1	1	yes	characteristic
90	#14582790	C₂²	1	1	yes	characteristic
91	#14582789	C₂²	1	1	yes	characteristic
92	#14582789	C₂²	1	1	yes	characteristic
93	#14582788	C₂²	1	1	yes	characteristic
94	#14582788	C₂²	1	1	yes	characteristic
95	#14582788	C₂²	1	1	yes	characteristic
96	#14582788	C₂²	1	1	yes	characteristic
97	#14582788	C₂²	1	1	yes	characteristic
98	#14582787	C₂²	1	1	yes	characteristic
99	#14582787	C₂²	1	1	yes	characteristic
100	#14582786	C₂²	1	1	yes	characteristic
101	#14582786	C₂²	1	1	yes	characteristic
102	#14582785	C₂²	1	1	yes	characteristic
103	#14582785	C₂²	1	1	yes	characteristic
104	#14582785	C₂²	1	1	yes	characteristic
105	#14582784	C₂²	1	1	yes	characteristic
106	#14582784	C₂²	1	1	yes	characteristic
107	#14582784	C₂²	1	1	yes	characteristic
108	#14582784	C₂²	1	1	yes	characteristic
109	#14582782	C₂²	1	1	yes	characteristic
110	#14582782	C₂²	1	1	yes	characteristic
111	#14582781	C₂²	1	1	yes	characteristic
112	#14582780	C₂²	1	1	yes	characteristic
113	#14582777	C₂²	1	1	yes	characteristic
114	#14582777	C₂²	1	1	yes	characteristic
115	#14582776	C₂²	1	1	yes	characteristic
116	#14582775	C₂²	1	1	yes	characteristic
117	#14582774	C₂²	1	1	yes	characteristic
118	#14582774	C₂²	1	1	yes	characteristic
119	#14582773	C₂²	1	1	yes	characteristic
120	#14582773	C₂²	1	1	yes	characteristic
121	#14582773	C₂²	1	1	yes	characteristic
122	#14582771	C₂²	1	1	yes	characteristic
123	#14582770	C₂²	1	1	yes	characteristic
124	#14582770	C₂²	1	1	yes	characteristic
125	#14582768	C₂²	1	1	yes	characteristic
126	#14582766	C₂²	1	1	yes	characteristic
127	#14582765	C₂²	1	1	yes	characteristic
128	#14582763	C₂²	1	1	yes	characteristic
129	#14582763	C₂²	1	1	yes	characteristic
130	#14582761	C₂²	1	1	yes	characteristic
131	#14582760	C₂²	1	1	yes	characteristic
132	#14582758	C₂²	1	1	yes	characteristic
133	#14582758	C₂²	1	1	yes	characteristic
134	#14582757	C₂²	1	1	yes	characteristic
135	#14582756	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	C₄×C₄⋊Dic₄₃	C₂²	1	1	yes	characteristic
149	C₄×C₄⋊Dic₄₃	C₂²	1	1	yes	characteristic
150	C₄×C₄⋊Dic₄₃	C₂²	1	1	yes	characteristic
151	#14582750	C₂²	1	1	yes	characteristic
152	#14582750	C₂²	1	1	yes	characteristic
153	C₂²⋊C₄×Dic₄₃	C₂²	1	1	yes	characteristic
154	C₂²⋊C₄×Dic₄₃	C₂²	1	1	yes	characteristic
155	C₄×(C₂×D₄₃)⋊C₄	C₂²	1	1	yes	characteristic
156	C₄×(C₂×D₄₃)⋊C₄	C₂²	1	1	yes	characteristic
157	C₄×(C₂×D₄₃)⋊C₄	C₂²	1	1	yes	characteristic
158	C₄×(C₂×D₄₃)⋊C₄	C₂²	1	1	yes	characteristic
159	C₄×(C₂×D₄₃)⋊C₄	C₂²	1	1	yes	characteristic
160	C₄×(C₂×D₄₃)⋊C₄	C₂²	1	1	yes	characteristic
161	C₄×(C₂×D₄₃)⋊C₄	C₂²	1	1	yes	characteristic
162	C₄×(C₂×D₄₃)⋊C₄	C₂²	1	1	yes	characteristic
163	C₄×C₂²⋊Dic₄₃	C₂²	1	1	yes	characteristic
164	#14582746	C₂²	1	1	yes	characteristic
165	#14582746	C₂²	1	1	yes	characteristic
166	#14582746	C₂²	1	1	yes	characteristic
167	#14582746	C₂²	1	1	yes	characteristic
168	#14582744	C₂²	1	1	yes	characteristic
169	#14582744	C₂²	1	1	yes	characteristic
170	C₄²×Dic₄₃	C₂²	1	1	yes	characteristic
171	C₄²×Dic₄₃	C₂²	1	1	yes	characteristic
172	C₄²×Dic₄₃	C₂²	1	1	yes	characteristic
173	C₂×#126×C₄₃	C₂²	1	1	yes	characteristic
174	C₄₃×#388	C₂²	1	1	yes	characteristic
175	C₄₃×#388	C₂²	1	1	yes	characteristic
176	C₄₃×#388	C₂²	1	1	yes	characteristic
177	C₄₃×#387	C₂²	1	1	yes	characteristic
178	C₄₃×#387	C₂²	1	1	yes	characteristic
179	C₄₃×#387	C₂²	1	1	yes	characteristic
180	C₄₃×#383	C₂²	1	1	yes	characteristic
181	C₄×C₄⋊C₄×C₄₃	C₂²	1	1	yes	characteristic
182	C₄×C₄⋊C₄×C₄₃	C₂²	1	1	yes	characteristic
183	C₄×C₄⋊C₄×C₄₃	C₂²	1	1	yes	characteristic
184	C₄×C₂²⋊C₄×C₄₃	C₂²	1	1	yes	characteristic
185	C₄×C₂²⋊C₄×C₄₃	C₂²	1	1	yes	characteristic
186	C₄×C₂²⋊C₄×C₄₃	C₂²	1	1	yes	characteristic
187	C₄³×C₄₃	C₂²	1	1	yes	characteristic
188	C₂²×Dic₈₆	C₂³	1	1	yes	characteristic
189	C₂²×Dic₈₆	C₂³	1	1	yes	characteristic
190	C₂²×Dic₈₆	C₂³	1	1	yes	characteristic
191	C₂²×D₁₇₂	C₂³	1	1	yes	characteristic
192	C₂²×C₂²⋊D₄₃	C₂³	1	1	yes	characteristic
193	C₂²×C₂²⋊D₄₃	C₂³	1	1	yes	characteristic
194	C₂³×Dic₄₃	C₂³	1	1	yes	characteristic
195	C₂³×Dic₄₃	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	#13063324	C₂×C₄	1	8	yes	complemented
203	#13063320	C₂×C₄	1	8	yes	complemented
204	#13063313	C₂×C₄	1	8	yes	complemented
205	#13063311	C₂×C₄	1	8	yes	complemented
206	#13063311	C₂×C₄	1	8	yes	complemented
207	#13063310	C₂×C₄	1	8	yes	complemented
208	#13063309	C₂×C₄	1	8	yes	complemented
209	#13063305	C₂×C₄	1	8	yes	complemented
210	#13063303	C₂×C₄	1	8	yes	complemented
211	#13063302	C₂×C₄	1	8	yes	complemented
212	#13063298	C₂×C₄	1	8	yes	—
213	C₄×Dic₈₆	—	2	4	no	—
214	C₄×Dic₈₆	—	2	4	no	—
215	C₄×Dic₈₆	—	4	2	no	—
216	C₄×Dic₈₆	—	4	2	no	—
217	C₄×Dic₈₆	C₂×C₄	1	8	yes	complemented
218	C₄×D₁₇₂	—	4	2	no	—
219	C₄×C₂²⋊D₄₃	—	2	4	no	—
220	C₄×C₂²⋊D₄₃	—	4	2	no	—
221	(C₂²⋊D₄₃)⋊C₄	—	2	4	no	—
222	(C₂²⋊D₄₃)⋊C₄	C₂×C₄	1	8	yes	complemented
223	#13063283	—	2	4	no	—
224	#13063283	C₂×C₄	1	8	yes	complemented
225	C₂×C₄⋊Dic₄₃	C₂³	1	1	yes	characteristic
226	C₂×C₄⋊Dic₄₃	C₂³	1	1	yes	characteristic
227	C₂×C₄⋊Dic₄₃	C₂³	1	1	yes	characteristic
228	C₂×C₄⋊Dic₄₃	C₂³	1	1	yes	characteristic
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×Dic₄₃⋊C₄	C₂³	1	1	yes	characteristic
236	C₂×Dic₄₃⋊C₄	C₂³	1	1	yes	characteristic
237	C₂×Dic₄₃⋊C₄	C₂³	1	1	yes	characteristic
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×C₂²⋊Dic₄₃	C₂³	1	1	yes	characteristic
252	C₂×C₂²⋊Dic₄₃	C₂³	1	1	yes	characteristic
253	C₂×C₂²⋊Dic₄₃	C₂³	1	1	yes	characteristic
254	C₂×C₂²⋊Dic₄₃	C₂³	1	1	yes	characteristic
255	C₂×(C₂×D₄₃)⋊C₄	C₂³	1	1	yes	characteristic
256	C₂×(C₂×D₄₃)⋊C₄	C₂³	1	1	yes	characteristic
257	C₂×(C₂×D₄₃)⋊C₄	C₂³	1	1	yes	characteristic
258	C₂×(C₂×D₄₃)⋊C₄	C₂³	1	1	yes	characteristic
259	C₂×(C₂×D₄₃)⋊C₄	C₂³	1	1	yes	characteristic
260	C₂×(C₂×D₄₃)⋊C₄	C₂³	1	1	yes	characteristic
261	C₂×(C₂×D₄₃)⋊C₄	C₂³	1	1	yes	characteristic
262	C₂×(C₂×D₄₃)⋊C₄	C₂³	1	1	yes	characteristic
263	C₂×(C₂×D₄₃)⋊C₄	C₂³	1	1	yes	characteristic
264	C₂×(C₂×D₄₃)⋊C₄	C₂³	1	1	yes	characteristic
265	C₂×(C₂×D₄₃)⋊C₄	C₂³	1	1	yes	characteristic
266	C₂×(C₂×D₄₃)⋊C₄	C₂³	1	1	yes	characteristic
267	C₂×(C₂×D₄₃)⋊C₄	C₂³	1	1	yes	characteristic
268	C₂×(C₂×D₄₃)⋊C₄	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×C₄×Dic₄₃	—	4	2	no	—
276	C₂×C₄×Dic₄₃	C₂³	1	1	yes	characteristic
277	C₂×C₄×Dic₄₃	C₂³	1	1	yes	characteristic
278	C₂×C₄×Dic₄₃	C₂³	1	1	yes	characteristic
279	C₂×C₄×Dic₄₃	C₂³	1	1	yes	characteristic
280	C₂×C₄×Dic₄₃	C₂³	1	1	yes	characteristic
281	C₂×C₄×Dic₄₃	C₂³	1	1	yes	characteristic
282	C₂×C₄×Dic₄₃	C₂³	1	1	yes	characteristic
283	C₂×C₄×Dic₄₃	C₂³	1	1	yes	characteristic
284	C₂×C₄×Dic₄₃	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	C₄²×D₄₃	—	2	4	no	—
301	C₄²×D₄₃	—	4	2	no	—
302	C₄₃⋊#95	C₂³	1	1	yes	characteristic
303	C₄₃⋊#95	C₂³	1	1	yes	characteristic
304	C₄₃⋊#95	C₂³	1	1	yes	characteristic
305	C₄₃⋊#95	C₂³	1	1	yes	characteristic
306	C₄₃⋊#95	C₂³	1	1	yes	characteristic
307	C₄₃⋊#95	C₂³	1	1	yes	characteristic
308	C₄₃⋊#95	C₂³	1	1	yes	characteristic
309	C₄₃⋊#95	C₂³	1	1	yes	characteristic
310	C₄₃⋊#95	C₂³	1	1	yes	characteristic
311	C₄₃⋊#95	C₂³	1	1	yes	characteristic
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	C₂³×C₄×C₄₃	C₂³	1	1	yes	characteristic
335	#126×C₄₃	C₂×C₄	1	8	yes	complemented
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	1	yes	characteristic
339	C₂×C₄⋊C₄×C₄₃	C₂³	1	1	yes	characteristic
340	C₂×C₄⋊C₄×C₄₃	C₂³	1	1	yes	characteristic
341	C₂×C₄⋊C₄×C₄₃	C₂³	1	1	yes	characteristic
342	C₂×C₂²⋊C₄×C₄₃	C₂³	1	1	yes	characteristic
343	C₂×C₂²⋊C₄×C₄₃	C₂³	1	1	yes	characteristic
344	C₂×C₂²⋊C₄×C₄₃	C₂³	1	1	yes	characteristic
345	C₂×C₂²⋊C₄×C₄₃	C₂³	1	1	yes	characteristic
346	C₂×C₂²⋊C₄×C₄₃	C₂³	1	1	yes	characteristic
347	C₂×C₂²⋊C₄×C₄₃	C₂³	1	1	yes	characteristic
348	C₂×C₄²×C₄₃	C₂³	1	1	yes	characteristic
349	C₂×C₄²×C₄₃	C₂³	1	1	yes	characteristic
350	C₂×C₄²×C₄₃	C₂³	1	1	yes	characteristic
351	C₂×C₄²×C₄₃	C₂³	1	1	yes	characteristic
352	C₂×C₄²×C₄₃	C₂³	1	1	yes	characteristic
353	C₂×C₄²×C₄₃	C₂³	1	1	yes	characteristic
354	C₂×C₄²×C₄₃	C₂³	1	1	yes	characteristic
355	C₂×C₄²×C₄₃	C₂³	1	1	yes	characteristic
356	C₂×C₄²×C₄₃	C₂³	1	1	yes	characteristic
357	C₂×C₄²×C₄₃	C₂³	1	1	yes	characteristic
358	#95×C₄₃	C₂³	1	1	yes	characteristic
359	#95×C₄₃	C₂³	1	1	yes	characteristic
360	#95×C₄₃	C₂³	1	1	yes	characteristic
361	#95×C₄₃	C₂³	1	1	yes	characteristic
362	#95×C₄₃	C₂³	1	1	yes	characteristic
363	#95×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	C₂⁴×C₄₃	C₂⁴	1	1	yes	characteristic
371	C₂³×D₄₃	C₂⁴	1	1	yes	characteristic
372	C₂³×D₄₃	C₂⁴	1	1	yes	characteristic
373	C₂²×C₄×C₄₃	—	2	2	no	—
374	C₂²×C₄×C₄₃	—	2	2	no	—
375	C₂²×C₄×C₄₃	—	2	2	no	—
376	C₂²×C₄×C₄₃	C₂⁴	1	1	yes	characteristic
377	C₂²×C₄×C₄₃	C₂⁴	1	1	yes	characteristic
378	C₂²×C₄×C₄₃	C₂⁴	1	1	yes	characteristic
379	C₂²×C₄×C₄₃	C₂⁴	1	1	yes	characteristic
380	C₂²×C₄×C₄₃	C₂⁴	1	1	yes	characteristic
381	C₂²×C₄×C₄₃	C₂⁴	1	1	yes	characteristic
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	C₂×C₂²⋊D₄₃	—	2	2	no	—
391	C₂×C₂²⋊D₄₃	—	2	2	no	—
392	C₂×C₂²⋊D₄₃	—	4	1	no	—
393	C₂×C₂²⋊D₄₃	—	4	1	no	—
394	C₂×C₂²⋊D₄₃	C₂²×C₄	1	4	yes	—
395	C₂×C₂²⋊D₄₃	C₂²×C₄	1	4	yes	—
396	C₂²×Dic₄₃	—	2	2	no	—
397	C₂²×Dic₄₃	—	4	1	no	—
398	C₂²×Dic₄₃	—	4	1	no	—
399	C₂²×Dic₄₃	—	4	1	no	—
400	C₂²×Dic₄₃	—	4	1	no	—
401	C₂²×Dic₄₃	C₂²×C₄	1	4	yes	—
402	C₂²×Dic₄₃	C₂⁴	1	1	yes	characteristic
403	C₂²×Dic₄₃	C₂⁴	1	1	yes	characteristic
404	C₂²×Dic₄₃	C₂⁴	1	1	yes	characteristic
405	C₂²×Dic₄₃	C₂⁴	1	1	yes	characteristic
406	C₂²×Dic₄₃	C₂⁴	1	1	yes	characteristic
407	C₂²×Dic₄₃	C₂⁴	1	1	yes	characteristic
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	C₂×D₁₇₂	—	4	1	no	—
417	C₂×D₁₇₂	—	4	1	no	—
418	C₂×D₁₇₂	C₂²×C₄	1	4	yes	—
419	C₂×C₄×D₄₃	—	2	2	no	—
420	C₂×C₄×D₄₃	—	2	2	no	—
421	C₂×C₄×D₄₃	—	2	2	no	—
422	C₂×C₄×D₄₃	—	2	2	no	—
423	C₂×C₄×D₄₃	—	2	2	no	—
424	C₂×C₄×D₄₃	—	2	2	no	—
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	—	4	1	no	—
430	C₂×C₄×D₄₃	—	4	1	no	—
431	C₂×C₄×D₄₃	—	4	1	no	—
432	C₂×C₄×D₄₃	—	4	1	no	—
433	C₂×C₄×D₄₃	—	4	1	no	—
434	C₂×C₄×D₄₃	—	4	1	no	—
435	C₂×C₄×D₄₃	C₂²×C₄	1	4	yes	—
436	C₂×C₄×D₄₃	C₂²×C₄	1	4	yes	—
437	C₂×Dic₈₆	—	2	2	no	—
438	C₂×Dic₈₆	—	2	2	no	—
439	C₂×Dic₈₆	—	4	1	no	—
440	C₂×Dic₈₆	—	4	1	no	—
441	C₂×Dic₈₆	—	4	1	no	—
442	C₂×Dic₈₆	—	4	1	no	—
443	C₂×Dic₈₆	C₂²×C₄	1	4	yes	—
444	C₂×Dic₈₆	C₂²×C₄	1	4	yes	—
445	C₂×Dic₈₆	C₂²×C₄	1	4	yes	—
446	C₄⋊C₄×C₄₃	—	2	2	no	—
447	C₄⋊C₄×C₄₃	—	4	1	no	—
448	C₄⋊C₄×C₄₃	—	4	1	no	—
449	C₄⋊C₄×C₄₃	C₂²×C₄	1	4	yes	—
450	C₄⋊C₄×C₄₃	C₂²×C₄	1	4	yes	—
451	C₄⋊C₄×C₄₃	C₂²×C₄	1	4	yes	—
452	C₂²⋊C₄×C₄₃	—	2	2	no	—
453	C₂²⋊C₄×C₄₃	—	4	1	no	—
454	C₂²⋊C₄×C₄₃	—	4	1	no	—
455	C₂²⋊C₄×C₄₃	C₂²×C₄	1	4	yes	—
456	C₂²⋊C₄×C₄₃	C₂²×C₄	1	4	yes	—
457	C₂²⋊C₄×C₄₃	C₂²×C₄	1	4	yes	—
458	C₄²×C₄₃	—	2	2	no	—
459	C₄²×C₄₃	—	2	2	no	—
460	C₄²×C₄₃	—	2	2	no	—
461	C₄²×C₄₃	—	2	2	no	—
462	C₄²×C₄₃	—	2	2	no	—
463	C₄²×C₄₃	—	2	2	no	—
464	C₄²×C₄₃	—	2	2	no	—
465	C₄²×C₄₃	—	4	1	no	—
466	C₄²×C₄₃	—	4	1	no	—
467	C₄²×C₄₃	C₂²×C₄	1	4	yes	—
468	C₂²⋊Dic₄₃	—	2	2	no	—
469	C₂²⋊Dic₄₃	—	4	1	no	—
470	C₂²⋊Dic₄₃	—	4	1	no	—
471	C₂²⋊Dic₄₃	C₂²×C₄	1	4	yes	—
472	(C₂×D₄₃)⋊C₄	—	2	2	no	—
473	(C₂×D₄₃)⋊C₄	—	2	2	no	—
474	(C₂×D₄₃)⋊C₄	—	2	2	no	—
475	(C₂×D₄₃)⋊C₄	—	2	2	no	—
476	(C₂×D₄₃)⋊C₄	—	4	1	no	—
477	(C₂×D₄₃)⋊C₄	—	4	1	no	—
478	(C₂×D₄₃)⋊C₄	—	4	1	no	—
479	(C₂×D₄₃)⋊C₄	—	4	1	no	—
480	(C₂×D₄₃)⋊C₄	—	4	1	no	—
481	(C₂×D₄₃)⋊C₄	—	4	1	no	—
482	(C₂×D₄₃)⋊C₄	—	4	1	no	—
483	(C₂×D₄₃)⋊C₄	—	4	1	no	—
484	(C₂×D₄₃)⋊C₄	C₂²×C₄	1	4	yes	—
485	(C₂×D₄₃)⋊C₄	C₂²×C₄	1	4	yes	—
486	(C₂×D₄₃)⋊C₄	C₂²×C₄	1	4	yes	—
487	(C₂×D₄₃)⋊C₄	C₂²×C₄	1	4	yes	—
488	(C₂×D₄₃)⋊C₄	C₂²×C₄	1	4	yes	—
489	(C₂×D₄₃)⋊C₄	C₂²×C₄	1	4	yes	—
490	(C₂×D₄₃)⋊C₄	C₂²×C₄	1	4	yes	—
491	(C₂×D₄₃)⋊C₄	C₂²×C₄	1	4	yes	—
492	C₄⋊Dic₄₃	—	2	2	no	—
493	C₄⋊Dic₄₃	—	2	2	no	—
494	C₄⋊Dic₄₃	—	2	2	no	—
495	C₄⋊Dic₄₃	—	4	1	no	—
496	C₄⋊Dic₄₃	—	4	1	no	—
497	C₄⋊Dic₄₃	—	4	1	no	—
498	C₄⋊Dic₄₃	—	4	1	no	—
499	C₄⋊Dic₄₃	C₂²×C₄	1	4	yes	—
500	C₄⋊Dic₄₃	C₂²×C₄	1	4	yes	—
501	C₄⋊Dic₄₃	C₂²×C₄	1	4	yes	—
502	Dic₄₃⋊C₄	—	2	2	no	—
503	Dic₄₃⋊C₄	—	2	2	no	—
504	Dic₄₃⋊C₄	—	2	2	no	—
505	Dic₄₃⋊C₄	—	2	2	no	—
506	Dic₄₃⋊C₄	—	2	2	no	—
507	Dic₄₃⋊C₄	—	2	2	no	—
508	Dic₄₃⋊C₄	—	4	1	no	—
509	Dic₄₃⋊C₄	—	4	1	no	—
510	Dic₄₃⋊C₄	—	4	1	no	—
511	Dic₄₃⋊C₄	—	4	1	no	—
512	Dic₄₃⋊C₄	—	4	1	no	—
513	Dic₄₃⋊C₄	—	4	1	no	—
514	Dic₄₃⋊C₄	C₂²×C₄	1	4	yes	—
515	Dic₄₃⋊C₄	C₂²×C₄	1	4	yes	—
516	Dic₄₃⋊C₄	C₂²×C₄	1	4	yes	—
517	Dic₄₃⋊C₄	C₂²×C₄	1	4	yes	—
518	C₄×Dic₄₃	—	2	2	no	—
519	C₄×Dic₄₃	—	2	2	no	—
520	C₄×Dic₄₃	—	2	2	no	—
521	C₄×Dic₄₃	—	2	2	no	—
522	C₄×Dic₄₃	—	2	2	no	—
523	C₄×Dic₄₃	—	2	2	no	—
524	C₄×Dic₄₃	—	2	2	no	—
525	C₄×Dic₄₃	—	2	2	no	—
526	C₄×Dic₄₃	—	2	2	no	—
527	C₄×Dic₄₃	—	4	1	no	—
528	C₄×Dic₄₃	—	4	1	no	—
529	C₄×Dic₄₃	—	4	1	no	—
530	C₄×Dic₄₃	—	4	1	no	—
531	C₄×Dic₄₃	—	4	1	no	—
532	C₄×Dic₄₃	—	4	1	no	—
533	C₄×Dic₄₃	—	4	1	no	—
534	C₄×Dic₄₃	—	4	1	no	—
535	C₄×Dic₄₃	—	4	1	no	—
536	C₄×Dic₄₃	—	4	1	no	—
537	C₄×Dic₄₃	C₂²×C₄	1	4	yes	—
538	C₄×Dic₄₃	C₂²×C₄	1	4	yes	—
539	C₄×Dic₄₃	C₂²×C₄	1	4	yes	—
540	C₄×Dic₄₃	#41	1	4	yes	—
541	C₄×Dic₄₃	#41	1	4	yes	—
542	C₂³×C₄₃	—	2	1	no	—
543	C₂³×C₄₃	—	2	1	no	—
544	C₂³×C₄₃	—	2	1	no	—
545	C₂³×C₄₃	—	2	1	no	—
546	C₂³×C₄₃	—	2	1	no	—
547	C₂³×C₄₃	—	2	1	no	—
548	C₂³×C₄₃	C₂³×C₄	1	2	yes	—
549	C₂³×C₄₃	C₂⁵	1	1	yes	characteristic
550	C₂²×D₄₃	—	2	1	no	—
551	C₂²×D₄₃	—	2	1	no	—
552	C₂²×D₄₃	—	2	1	no	—
553	C₂²×D₄₃	—	2	1	no	—
554	C₂²×D₄₃	—	2	1	no	—
555	C₂²×D₄₃	—	2	1	no	—
556	C₂²×D₄₃	—	2	1	no	—
557	C₂²×D₄₃	—	2	1	no	—
558	C₂²×D₄₃	—	2	1	no	—
559	C₂²×D₄₃	—	2	1	no	—
560	C₂²×D₄₃	—	2	1	no	—
561	C₂²×D₄₃	—	2	1	no	—
562	C₂²×D₄₃	C₂³×C₄	1	2	yes	—
563	C₂²×D₄₃	C₂³×C₄	1	2	yes	—
564	C₂×C₄×C₄₃	—	2	1	no	—
565	C₂×C₄×C₄₃	—	2	1	no	—
566	C₂×C₄×C₄₃	—	2	1	no	—
567	C₂×C₄×C₄₃	—	2	1	no	—
568	C₂×C₄×C₄₃	—	2	1	no	—
569	C₂×C₄×C₄₃	—	2	1	no	—
570	C₂×C₄×C₄₃	—	2	1	no	—
571	C₂×C₄×C₄₃	—	2	1	no	—
572	C₂×C₄×C₄₃	—	2	1	no	—
573	C₂×C₄×C₄₃	—	2	1	no	—
574	C₂×C₄×C₄₃	—	2	1	no	—
575	C₂×C₄×C₄₃	—	2	1	no	—
576	C₂×C₄×C₄₃	—	2	1	no	—
577	C₂×C₄×C₄₃	—	2	1	no	—
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	—	4	4	no	—
597	C₂×C₄×C₄₃	C₂³×C₄	1	2	yes	—
598	C₂×C₄×C₄₃	C₂³×C₄	1	2	yes	—
599	C₂×C₄×C₄₃	C₂³×C₄	1	2	yes	—
600	C₂×C₄×C₄₃	C₂³×C₄	1	2	yes	—
601	C₂×C₄×C₄₃	C₂³×C₄	1	2	yes	—
602	C₂×C₄×C₄₃	C₂³×C₄	1	2	yes	—
603	C₂×C₄×C₄₃	C₂×#41	1	2	yes	—
604	C₂×C₄×C₄₃	C₂×#41	1	2	yes	—
605	C₂×C₄×C₄₃	H(5,𝔽₂)	1	2	yes	—
606	C₂×C₄×C₄₃	2₋¹⁺⁴	1	2	yes	—
607	C₂²⋊D₄₃	—	2	8	no	—
608	C₂²⋊D₄₃	—	4	4	no	—
609	C₂×Dic₄₃	—	2	1	no	—
610	C₂×Dic₄₃	—	2	1	no	—
611	C₂×Dic₄₃	—	2	1	no	—
612	C₂×Dic₄₃	—	2	1	no	—
613	C₂×Dic₄₃	—	2	1	no	—
614	C₂×Dic₄₃	—	2	1	no	—
615	C₂×Dic₄₃	—	2	1	no	—
616	C₂×Dic₄₃	—	2	1	no	—
617	C₂×Dic₄₃	—	2	1	no	—
618	C₂×Dic₄₃	—	2	1	no	—
619	C₂×Dic₄₃	—	2	1	no	—
620	C₂×Dic₄₃	—	2	1	no	—
621	C₂×Dic₄₃	—	2	1	no	—
622	C₂×Dic₄₃	—	2	1	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	1	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	—	4	4	no	—
642	C₂×Dic₄₃	—	4	4	no	—
643	C₂×Dic₄₃	C₂³×C₄	1	2	yes	—
644	C₂×Dic₄₃	C₂³×C₄	1	2	yes	—
645	C₂×Dic₄₃	C₂³×C₄	1	2	yes	—
646	C₂×Dic₄₃	C₂³×C₄	1	2	yes	—
647	C₂×Dic₄₃	C₂³×C₄	1	2	yes	—
648	C₂×Dic₄₃	C₂³×C₄	1	2	yes	—
649	C₂×Dic₄₃	C₂×#41	1	2	yes	—
650	C₂×Dic₄₃	C₂×#41	1	2	yes	—
651	C₂×Dic₄₃	C₂×#41	1	2	yes	—
652	C₂×Dic₄₃	C₂×#41	1	2	yes	—
653	D₁₇₂	—	4	4	no	—
654	C₄×D₄₃	—	2	8	no	—
655	C₄×D₄₃	—	4	4	no	—
656	C₄×D₄₃	—	4	4	no	—
657	C₄×D₄₃	—	4	4	no	—
658	C₄×D₄₃	—	4	4	no	—
659	C₄×D₄₃	—	4	4	no	—
660	Dic₈₆	—	2	8	no	—
661	Dic₈₆	—	4	4	no	—
662	Dic₈₆	—	4	4	no	—
663	C₄×#542	—	43	1	no	maximal, Sylow
664	C₂²×C₄₃	—	2	2	no	—
665	C₂²×C₄₃	—	2	2	no	—
666	C₂²×C₄₃	—	2	2	no	—
667	C₂²×C₄₃	—	4	1	no	—
668	C₂²×C₄₃	—	4	1	no	—
669	C₂²×C₄₃	—	4	1	no	—
670	C₂²×C₄₃	—	4	1	no	—
671	C₂²×C₄₃	C₂⁴×C₄	1	1	yes	characteristic
672	C₂²×C₄₃	C₂²×#41	1	1	yes	characteristic
673	C₂²×C₄₃	C₂²×#41	1	1	yes	characteristic
674	C₂²×C₄₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
675	C₂²×C₄₃	C₂×2₋¹⁺⁴	1	1	yes	characteristic
676	C₂²×C₄₃	#585	1	1	yes	characteristic
677	C₂²×C₄₃	#585	1	1	yes	characteristic
678	C₂×D₄₃	—	2	2	no	—
679	C₂×D₄₃	—	2	2	no	—
680	C₂×D₄₃	—	2	2	no	—
681	C₂×D₄₃	—	2	2	no	—
682	C₂×D₄₃	—	2	2	no	—
683	C₂×D₄₃	—	2	2	no	—
684	C₂×D₄₃	—	4	1	no	—
685	C₂×D₄₃	—	4	1	no	—
686	C₂×D₄₃	—	4	1	no	—
687	C₂×D₄₃	—	4	1	no	—
688	C₂×D₄₃	—	4	1	no	—
689	C₂×D₄₃	—	4	1	no	—
690	C₂×D₄₃	—	4	1	no	—
691	C₂×D₄₃	—	4	1	no	—
692	C₄×C₄₃	—	2	2	no	—
693	C₄×C₄₃	—	2	2	no	—
694	C₄×C₄₃	—	2	2	no	—
695	C₄×C₄₃	—	2	2	no	—
696	C₄×C₄₃	—	2	2	no	—
697	C₄×C₄₃	—	2	2	no	—
698	C₄×C₄₃	—	2	2	no	—
699	C₄×C₄₃	—	4	1	no	—
700	C₄×C₄₃	—	4	1	no	—
701	C₄×C₄₃	—	4	1	no	—
702	C₄×C₄₃	—	4	1	no	—
703	C₄×C₄₃	—	4	1	no	—
704	C₄×C₄₃	—	4	1	no	—
705	C₄×C₄₃	#542	1	4	yes	complemented
706	Dic₄₃	—	2	2	no	—
707	Dic₄₃	—	2	2	no	—
708	Dic₄₃	—	2	2	no	—
709	Dic₄₃	—	2	2	no	—
710	Dic₄₃	—	2	2	no	—
711	Dic₄₃	—	2	2	no	—
712	Dic₄₃	—	2	2	no	—
713	Dic₄₃	—	4	1	no	—
714	Dic₄₃	—	4	1	no	—
715	Dic₄₃	—	4	1	no	—
716	Dic₄₃	—	4	1	no	—
717	Dic₄₃	—	4	1	no	—
718	Dic₄₃	—	4	1	no	—
719	Dic₄₃	C₄×#41	1	4	yes	—
720	C₂×#542	—	43	1	no	—
721	#2337	—	43	1	no	—
722	#2337	—	43	1	no	—
723	#2335	—	43	1	no	—
724	#2335	—	43	1	no	—
725	#2334	—	43	1	no	—
726	#2334	—	43	1	no	—
727	#2332	—	43	1	no	—
728	#2332	—	43	1	no	—
729	#2331	—	43	1	no	—
730	#2326	—	43	1	no	—
731	#2324	—	43	1	no	—
732	#2323	—	43	1	no	—
733	#2320	—	43	1	no	—
734	#2319	—	43	1	no	—
735	#2314	—	43	1	no	—
736	C₄×C₄⋊Q₈	—	43	1	no	—
737	C₄×#126	—	43	1	no	—
738	C₄×#126	D₄₃	1	1	yes	characteristic, complemented
739	C₄×#124	—	43	1	no	—
740	C₄×#124	—	43	1	no	—
741	C₄×#124	—	43	1	no	—
742	C₄×C₂²⋊Q₈	—	43	1	no	—
743	C₄×C₂²⋊Q₈	—	43	1	no	—
744	C₄×C₂²⋊Q₈	—	43	1	no	—
745	C₄×#123	—	43	1	no	—
746	C₄×#123	—	43	1	no	—
747	C₄×#121	—	43	1	no	—
748	C₄²×Q₈	—	43	1	no	—
749	C₄²×D₄	—	43	1	no	—
750	C₄×#117	—	43	1	no	—
751	C₂×C₄₃	—	4	2	no	—
752	C₂×C₄₃	C₂×C₄×#41	1	1	yes	characteristic
753	C₂×C₄₃	C₄×H(5,𝔽₂)	1	1	yes	characteristic
754	C₂×C₄₃	C₄×2₋¹⁺⁴	1	1	yes	characteristic
755	C₂×C₄₃	C₂×#542	1	1	yes	characteristic
756	C₂×C₄₃	#3455	1	1	yes	characteristic
757	C₂×C₄₃	#3460	1	1	yes	characteristic
758	C₂×C₄₃	#3461	1	1	yes	characteristic
759	D₄₃	—	4	2	no	—
760	D₄₃	—	4	2	no	—
761	#542	—	43	16	no	—
762	C₂×C₄⋊Q₈	—	43	1	no	—
763	C₂×#126	—	43	1	no	—
764	C₂×#126	C₂×D₄₃	1	1	yes	characteristic
765	C₂×#124	—	43	1	no	—
766	C₂×#124	—	43	1	no	—
767	C₂×#124	—	43	1	no	—
768	C₂×#123	—	43	1	no	—
769	C₂×#123	—	43	1	no	—
770	C₂×C₂²⋊Q₈	—	43	1	no	—
771	C₂×C₂²⋊Q₈	—	43	1	no	—
772	C₂×C₂²⋊Q₈	—	43	1	no	—
773	C₂×#121	—	43	1	no	—
774	C₂×C₄×Q₈	—	43	1	no	—
775	C₂×C₄×Q₈	—	43	1	no	—
776	C₂×C₄×Q₈	—	43	1	no	—
777	C₂×C₄×Q₈	—	43	1	no	—
778	C₂×C₄×Q₈	—	43	1	no	—
779	C₂×C₄×D₄	—	43	1	no	—
780	C₂×C₄×D₄	—	43	1	no	—
781	C₂×C₄×D₄	—	43	1	no	—
782	C₂×C₄×D₄	—	43	1	no	—
783	C₂×C₄×D₄	—	43	1	no	—
784	C₂×#117	—	43	1	no	—
785	C₂×#117	—	43	1	no	—
786	C₂²×C₄²	—	43	1	no	—
787	C₂²×C₄²	—	43	1	no	—
788	C₂²×C₄²	—	43	1	no	—
789	#391	—	43	1	no	—
790	#391	—	43	1	no	—
791	#391	—	43	1	no	—
792	#391	—	43	1	no	—
793	#391	—	43	1	no	—
794	#391	—	43	1	no	—
795	#391	—	43	1	no	—
796	#391	—	43	1	no	—
797	#390	—	43	1	no	—
798	#390	—	43	1	no	—
799	#390	—	43	1	no	—
800	#390	—	43	1	no	—
801	#389	—	43	1	no	—
802	#389	—	43	1	no	—
803	#389	—	43	1	no	—
804	#389	—	43	1	no	—
805	#389	—	43	1	no	—
806	#389	—	43	1	no	—
807	#389	—	43	1	no	—
808	#389	—	43	1	no	—
809	#388	—	43	1	no	—
810	#388	—	43	1	no	—
811	#388	—	43	1	no	—
812	#388	—	43	1	no	—
813	#388	—	43	1	no	—
814	#388	—	43	1	no	—
815	#388	—	43	1	no	—
816	#388	—	43	1	no	—
817	#388	—	43	1	no	—
818	#388	—	43	1	no	—
819	#388	—	43	1	no	—
820	#388	—	43	1	no	—
821	#388	—	43	1	no	—
822	#388	—	43	1	no	—
823	#388	—	43	1	no	—
824	#388	—	43	1	no	—
825	#388	—	43	1	no	—
826	#388	—	43	1	no	—
827	#388	—	43	1	no	—
828	#388	—	43	1	no	—
829	#388	—	43	1	no	—
830	#388	C₂×D₄₃	1	1	yes	characteristic
831	#388	C₂×D₄₃	1	1	yes	characteristic
832	#388	C₂×D₄₃	1	1	yes	characteristic
833	#387	—	43	1	no	—
834	#387	—	43	1	no	—
835	#387	—	43	1	no	—
836	#387	—	43	1	no	—
837	#387	—	43	1	no	—
838	#387	—	43	1	no	—
839	#387	—	43	1	no	—
840	#387	—	43	1	no	—
841	#387	—	43	1	no	—
842	#387	—	43	1	no	—
843	#387	—	43	1	no	—
844	#387	—	43	1	no	—
845	#387	—	43	1	no	—
846	#387	C₂×D₄₃	1	1	yes	characteristic
847	#387	C₂×D₄₃	1	1	yes	characteristic
848	#387	C₂×D₄₃	1	1	yes	characteristic
849	#386	—	43	1	no	—
850	#386	—	43	1	no	—
851	#386	—	43	1	no	—
852	#386	—	43	1	no	—
853	#385	—	43	1	no	—
854	#385	—	43	1	no	—
855	#385	—	43	1	no	—
856	#385	—	43	1	no	—
857	#385	—	43	1	no	—
858	#385	—	43	1	no	—
859	#385	—	43	1	no	—
860	#385	—	43	1	no	—
861	#384	—	43	1	no	—
862	#383	—	43	1	no	—
863	#383	C₂×D₄₃	1	1	yes	characteristic
864	#382	—	43	1	no	—
865	#382	—	43	1	no	—
866	#382	—	43	1	no	—
867	#381	—	43	1	no	—
868	#381	—	43	1	no	—
869	#380	—	43	1	no	—
870	#380	—	43	1	no	—
871	#380	—	43	1	no	—
872	#380	—	43	1	no	—
873	C₄×C₄⋊C₄	—	43	1	no	—
874	C₄×C₄⋊C₄	—	43	1	no	—
875	C₄×C₄⋊C₄	—	43	1	no	—
876	C₄×C₄⋊C₄	—	43	1	no	—
877	C₄×C₄⋊C₄	—	43	1	no	—
878	C₄×C₄⋊C₄	—	43	1	no	—
879	C₄×C₄⋊C₄	—	43	1	no	—
880	C₄×C₄⋊C₄	—	43	1	no	—
881	C₄×C₄⋊C₄	—	43	1	no	—
882	C₄×C₄⋊C₄	—	43	1	no	—
883	C₄×C₄⋊C₄	—	43	1	no	—
884	C₄×C₄⋊C₄	—	43	1	no	—
885	C₄×C₄⋊C₄	—	43	1	no	—
886	C₄×C₄⋊C₄	—	43	1	no	—
887	C₄×C₄⋊C₄	—	43	1	no	—
888	C₄×C₄⋊C₄	—	43	1	no	—
889	C₄×C₄⋊C₄	—	43	1	no	—
890	C₄×C₄⋊C₄	C₂×D₄₃	1	1	yes	characteristic
891	C₄×C₄⋊C₄	C₂×D₄₃	1	1	yes	characteristic
892	C₄×C₄⋊C₄	C₂×D₄₃	1	1	yes	characteristic
893	C₄×C₂²⋊C₄	—	43	1	no	—
894	C₄×C₂²⋊C₄	—	43	1	no	—
895	C₄×C₂²⋊C₄	—	43	1	no	—
896	C₄×C₂²⋊C₄	—	43	1	no	—
897	C₄×C₂²⋊C₄	—	43	1	no	—
898	C₄×C₂²⋊C₄	—	43	1	no	—
899	C₄×C₂²⋊C₄	—	43	1	no	—
900	C₄×C₂²⋊C₄	—	43	1	no	—
901	C₄×C₂²⋊C₄	—	43	1	no	—
902	C₄×C₂²⋊C₄	—	43	1	no	—
903	C₄×C₂²⋊C₄	—	43	1	no	—
904	C₄×C₂²⋊C₄	—	43	1	no	—
905	C₄×C₂²⋊C₄	—	43	1	no	—
906	C₄×C₂²⋊C₄	—	43	1	no	—
907	C₄×C₂²⋊C₄	—	43	1	no	—
908	C₄×C₂²⋊C₄	C₂×D₄₃	1	1	yes	characteristic
909	C₄×C₂²⋊C₄	C₂×D₄₃	1	1	yes	characteristic
910	C₄×C₂²⋊C₄	C₂×D₄₃	1	1	yes	characteristic
911	#376	—	43	1	no	—
912	#376	—	43	1	no	—
913	C₄³	—	43	1	no	—
914	C₄³	—	43	1	no	—
915	C₄³	—	43	1	no	—
916	C₄³	C₂×D₄₃	1	1	yes	characteristic
917	C₄₃	C₄×#542	1	1	yes	characteristic, complemented, Sylow
918	C₂²×Q₈	—	43	1	no	—
919	C₂²×Q₈	—	43	1	no	—
920	C₂²×Q₈	—	43	1	no	—
921	C₂²×D₄	—	43	1	no	—
922	C₂²×D₄	—	43	1	no	—
923	C₂²×D₄	—	43	1	no	—
924	C₂³×C₄	—	43	1	no	—
925	C₂³×C₄	—	43	1	no	—
926	C₂³×C₄	—	43	1	no	—
927	C₂³×C₄	—	43	1	no	—
928	C₂³×C₄	—	43	1	no	—
929	C₂³×C₄	—	43	1	no	—
930	C₂³×C₄	—	43	1	no	—
931	C₂³×C₄	—	43	1	no	—
932	C₂³×C₄	C₂²×D₄₃	1	1	yes	characteristic
933	C₄⋊Q₈	—	43	8	no	—
934	#126	—	43	8	no	—
935	#126	C₄×D₄₃	1	8	yes	complemented
936	#124	—	43	8	no	—
937	#124	—	43	8	no	—
938	#124	—	43	8	no	—
939	#123	—	43	8	no	—
940	#123	—	43	8	no	—
941	C₂²⋊Q₈	—	43	8	no	—
942	C₂²⋊Q₈	—	43	8	no	—
943	C₂²⋊Q₈	—	43	8	no	—
944	#121	—	43	8	no	—
945	C₄×Q₈	—	43	8	no	—
946	C₄×Q₈	—	86	4	no	—
947	C₄×Q₈	—	86	4	no	—
948	C₄×Q₈	—	172	2	no	—
949	C₄×Q₈	—	172	2	no	—
950	C₄×D₄	—	43	8	no	—
951	C₄×D₄	—	86	4	no	—
952	C₄×D₄	—	86	4	no	—
953	C₄×D₄	—	172	2	no	—
954	C₄×D₄	—	172	2	no	—
955	#117	—	43	8	no	—
956	#117	—	86	4	no	—
957	C₂×C₄⋊C₄	—	43	1	no	—
958	C₂×C₄⋊C₄	—	43	1	no	—
959	C₂×C₄⋊C₄	—	43	1	no	—
960	C₂×C₄⋊C₄	—	43	1	no	—
961	C₂×C₄⋊C₄	—	43	1	no	—
962	C₂×C₄⋊C₄	—	43	1	no	—
963	C₂×C₄⋊C₄	—	43	1	no	—
964	C₂×C₄⋊C₄	—	43	1	no	—
965	C₂×C₄⋊C₄	—	43	1	no	—
966	C₂×C₄⋊C₄	—	43	1	no	—
967	C₂×C₄⋊C₄	—	43	1	no	—
968	C₂×C₄⋊C₄	—	43	1	no	—
969	C₂×C₄⋊C₄	—	43	1	no	—
970	C₂×C₄⋊C₄	—	43	1	no	—
971	C₂×C₄⋊C₄	—	43	1	no	—
972	C₂×C₄⋊C₄	—	43	1	no	—
973	C₂×C₄⋊C₄	—	43	1	no	—
974	C₂×C₄⋊C₄	—	43	1	no	—
975	C₂×C₄⋊C₄	—	43	1	no	—
976	C₂×C₄⋊C₄	—	43	1	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	C₂²×D₄₃	1	1	yes	characteristic
984	C₂×C₄⋊C₄	C₂²×D₄₃	1	1	yes	characteristic
985	C₂×C₄⋊C₄	C₂²×D₄₃	1	1	yes	characteristic
986	C₂×C₄⋊C₄	C₂²×D₄₃	1	1	yes	characteristic
987	C₂×C₄⋊C₄	C₂²×D₄₃	1	1	yes	characteristic
988	C₂×C₄⋊C₄	C₂²×D₄₃	1	1	yes	characteristic
989	C₂×C₂²⋊C₄	—	43	1	no	—
990	C₂×C₂²⋊C₄	—	43	1	no	—
991	C₂×C₂²⋊C₄	—	43	1	no	—
992	C₂×C₂²⋊C₄	—	43	1	no	—
993	C₂×C₂²⋊C₄	—	43	1	no	—
994	C₂×C₂²⋊C₄	—	43	1	no	—
995	C₂×C₂²⋊C₄	—	43	1	no	—
996	C₂×C₂²⋊C₄	—	43	1	no	—
997	C₂×C₂²⋊C₄	—	43	1	no	—
998	C₂×C₂²⋊C₄	—	43	1	no	—
999	C₂×C₂²⋊C₄	—	43	1	no	—
1000	C₂×C₂²⋊C₄	—	43	1	no	—
1001	C₂×C₂²⋊C₄	—	43	1	no	—
1002	C₂×C₂²⋊C₄	—	43	1	no	—
1003	C₂×C₂²⋊C₄	—	43	1	no	—
1004	C₂×C₂²⋊C₄	—	43	1	no	—
1005	C₂×C₂²⋊C₄	—	43	1	no	—
1006	C₂×C₂²⋊C₄	—	43	1	no	—
1007	C₂×C₂²⋊C₄	—	43	1	no	—
1008	C₂×C₂²⋊C₄	—	43	1	no	—
1009	C₂×C₂²⋊C₄	—	43	1	no	—
1010	C₂×C₂²⋊C₄	—	43	1	no	—
1011	C₂×C₂²⋊C₄	—	43	1	no	—
1012	C₂×C₂²⋊C₄	—	43	1	no	—
1013	C₂×C₂²⋊C₄	C₂²×D₄₃	1	1	yes	characteristic
1014	C₂×C₂²⋊C₄	C₂²×D₄₃	1	1	yes	characteristic
1015	C₂×C₂²⋊C₄	C₂²×D₄₃	1	1	yes	characteristic
1016	C₂×C₂²⋊C₄	C₂²×D₄₃	1	1	yes	characteristic
1017	C₂×C₂²⋊C₄	C₂²×D₄₃	1	1	yes	characteristic
1018	C₂×C₂²⋊C₄	C₂²×D₄₃	1	1	yes	characteristic
1019	C₂×C₄²	—	43	1	no	—
1020	C₂×C₄²	—	43	1	no	—
1021	C₂×C₄²	—	43	1	no	—
1022	C₂×C₄²	—	43	1	no	—
1023	C₂×C₄²	—	43	1	no	—
1024	C₂×C₄²	—	43	1	no	—
1025	C₂×C₄²	—	43	1	no	—
1026	C₂×C₄²	—	43	1	no	—
1027	C₂×C₄²	—	43	1	no	—
1028	C₂×C₄²	—	43	1	no	—
1029	C₂×C₄²	—	43	1	no	—
1030	C₂×C₄²	—	43	1	no	—
1031	C₂×C₄²	—	43	1	no	—
1032	C₂×C₄²	—	43	1	no	—
1033	C₂×C₄²	—	43	1	no	—
1034	C₂×C₄²	—	43	1	no	—
1035	C₂×C₄²	—	43	1	no	—
1036	C₂×C₄²	—	43	1	no	—
1037	C₂×C₄²	—	43	1	no	—
1038	C₂×C₄²	—	43	1	no	—
1039	C₂×C₄²	—	43	1	no	—
1040	C₂×C₄²	—	43	1	no	—
1041	C₂×C₄²	—	43	1	no	—
1042	C₂×C₄²	—	43	1	no	—
1043	C₂×C₄²	—	86	4	no	—
1044	C₂×C₄²	—	172	2	no	—
1045	C₂×C₄²	—	172	2	no	—
1046	C₂×C₄²	C₂²×D₄₃	1	1	yes	characteristic
1047	C₂×C₄²	C₂²×D₄₃	1	1	yes	characteristic
1048	C₂×C₄²	C₂²×D₄₃	1	1	yes	characteristic
1049	C₂×C₄²	C₂²×D₄₃	1	1	yes	characteristic
1050	C₂×C₄²	C₂²×D₄₃	1	1	yes	characteristic
1051	C₂×C₄²	C₂²×D₄₃	1	1	yes	characteristic
1052	C₂×C₄²	C₂²×D₄₃	1	1	yes	characteristic
1053	C₂×C₄²	C₂²×D₄₃	1	1	yes	characteristic
1054	C₂×C₄²	C₂²×D₄₃	1	1	yes	characteristic
1055	C₂×C₄²	C₂²×D₄₃	1	1	yes	characteristic
1056	#95	—	43	1	no	—
1057	#95	—	43	1	no	—
1058	#95	—	43	1	no	—
1059	#95	—	43	1	no	—
1060	#95	—	43	1	no	—
1061	#95	—	43	1	no	—
1062	#95	—	43	1	no	—
1063	#95	—	43	1	no	—
1064	#95	—	43	1	no	—
1065	#95	—	43	1	no	—
1066	#95	—	43	1	no	—
1067	#95	—	43	1	no	—
1068	#95	—	43	1	no	—
1069	#95	—	43	1	no	—
1070	#95	—	43	1	no	—
1071	#95	—	43	1	no	—
1072	#95	—	43	1	no	—
1073	#95	—	43	1	no	—
1074	#95	—	43	1	no	—
1075	#95	—	43	1	no	—
1076	#95	—	43	1	no	—
1077	#95	—	43	1	no	—
1078	#95	—	43	1	no	—
1079	#95	—	43	1	no	—
1080	#95	—	43	1	no	—
1081	#95	—	43	1	no	—
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	C₂²×D₄₃	1	1	yes	characteristic
1089	#95	C₂²×D₄₃	1	1	yes	characteristic
1090	#95	C₂²×D₄₃	1	1	yes	characteristic
1091	#95	C₂²×D₄₃	1	1	yes	characteristic
1092	#95	C₂²×D₄₃	1	1	yes	characteristic
1093	#95	C₂²×D₄₃	1	1	yes	characteristic
1094	#95	C₂²×D₄₃	1	1	yes	characteristic
1095	#95	C₂²×D₄₃	1	1	yes	characteristic
1096	#95	C₂²×D₄₃	1	1	yes	characteristic
1097	#95	C₂²×D₄₃	1	1	yes	characteristic
1098	#95	C₂²×D₄₃	1	1	yes	characteristic
1099	#95	C₂²×D₄₃	1	1	yes	characteristic
1100	C₂⁴	—	43	1	no	—
1101	C₂⁴	—	43	1	no	—
1102	C₂⁴	C₂³×D₄₃	1	1	yes	characteristic
1103	C₂×Q₈	—	43	4	no	—
1104	C₂×Q₈	—	43	4	no	—
1105	C₂×Q₈	—	43	4	no	—
1106	C₂×Q₈	—	86	2	no	—
1107	C₂×Q₈	—	86	2	no	—
1108	C₂×Q₈	—	172	1	no	—
1109	C₂×Q₈	—	172	1	no	—
1110	C₂×Q₈	—	172	1	no	—
1111	C₂×Q₈	—	172	1	no	—
1112	C₂×D₄	—	43	4	no	—
1113	C₂×D₄	—	43	4	no	—
1114	C₂×D₄	—	43	4	no	—
1115	C₂×D₄	—	86	2	no	—
1116	C₂×D₄	—	86	2	no	—
1117	C₂×D₄	—	172	1	no	—
1118	C₂×D₄	—	172	1	no	—
1119	C₂×D₄	—	172	1	no	—
1120	C₂×D₄	—	172	1	no	—
1121	C₂²×C₄	—	2	2	no	—
1122	C₂²×C₄	—	2	2	no	—
1123	C₂²×C₄	—	2	2	no	—
1124	C₂²×C₄	—	43	1	no	—
1125	C₂²×C₄	—	43	1	no	—
1126	C₂²×C₄	—	43	1	no	—
1127	C₂²×C₄	—	43	1	no	—
1128	C₂²×C₄	—	43	1	no	—
1129	C₂²×C₄	—	43	1	no	—
1130	C₂²×C₄	—	43	1	no	—
1131	C₂²×C₄	—	43	1	no	—
1132	C₂²×C₄	—	43	4	no	—
1133	C₂²×C₄	—	43	4	no	—
1134	C₂²×C₄	—	43	4	no	—
1135	C₂²×C₄	—	43	1	no	—
1136	C₂²×C₄	—	43	1	no	—
1137	C₂²×C₄	—	43	1	no	—
1138	C₂²×C₄	—	43	1	no	—
1139	C₂²×C₄	—	43	1	no	—
1140	C₂²×C₄	—	43	1	no	—
1141	C₂²×C₄	—	86	2	no	—
1142	C₂²×C₄	—	86	2	no	—
1143	C₂²×C₄	—	86	2	no	—
1144	C₂²×C₄	—	86	2	no	—
1145	C₂²×C₄	—	86	2	no	—
1146	C₂²×C₄	—	86	2	no	—
1147	C₂²×C₄	—	86	2	no	—
1148	C₂²×C₄	—	86	2	no	—
1149	C₂²×C₄	—	86	2	no	—
1150	C₂²×C₄	—	86	2	no	—
1151	C₂²×C₄	—	86	2	no	—
1152	C₂²×C₄	—	172	1	no	—
1153	C₂²×C₄	—	172	1	no	—
1154	C₂²×C₄	—	172	1	no	—
1155	C₂²×C₄	—	172	1	no	—
1156	C₂²×C₄	—	172	1	no	—
1157	C₂²×C₄	—	172	1	no	—
1158	C₂²×C₄	—	172	1	no	—
1159	C₂²×C₄	—	172	1	no	—
1160	C₂²×C₄	—	172	1	no	—
1161	C₂²×C₄	—	172	1	no	—
1162	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
1163	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
1164	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
1165	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
1166	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
1167	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
1168	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
1169	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
1170	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
1171	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
1172	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
1173	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
1174	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
1175	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
1176	C₄⋊C₄	—	2	2	no	—
1177	C₄⋊C₄	—	4	1	no	—
1178	C₄⋊C₄	—	4	1	no	—
1179	C₄⋊C₄	—	43	4	no	—
1180	C₄⋊C₄	—	43	4	no	—
1181	C₄⋊C₄	—	43	4	no	—
1182	C₄⋊C₄	—	43	4	no	—
1183	C₄⋊C₄	—	43	4	no	—
1184	C₄⋊C₄	—	43	4	no	—
1185	C₄⋊C₄	—	43	4	no	—
1186	C₄⋊C₄	—	86	2	no	—
1187	C₄⋊C₄	—	86	2	no	—
1188	C₄⋊C₄	—	86	2	no	—
1189	C₄⋊C₄	—	86	2	no	—
1190	C₄⋊C₄	—	86	2	no	—
1191	C₄⋊C₄	—	86	2	no	—
1192	C₄⋊C₄	—	86	2	no	—
1193	C₄⋊C₄	—	86	2	no	—
1194	C₄⋊C₄	—	86	2	no	—
1195	C₄⋊C₄	—	172	1	no	—
1196	C₄⋊C₄	—	172	1	no	—
1197	C₄⋊C₄	—	172	1	no	—
1198	C₄⋊C₄	—	172	1	no	—
1199	C₄⋊C₄	—	172	1	no	—
1200	C₄⋊C₄	—	172	1	no	—
1201	C₄⋊C₄	—	172	1	no	—
1202	C₄⋊C₄	—	172	1	no	—
1203	C₄⋊C₄	—	172	1	no	—
1204	C₄⋊C₄	—	172	1	no	—
1205	C₄⋊C₄	C₂×C₄×D₄₃	1	4	yes	—
1206	C₄⋊C₄	C₂×C₄×D₄₃	1	4	yes	—
1207	C₄⋊C₄	C₂×C₄×D₄₃	1	4	yes	—
1208	C₂²⋊C₄	—	2	2	no	—
1209	C₂²⋊C₄	—	4	1	no	—
1210	C₂²⋊C₄	—	4	1	no	—
1211	C₂²⋊C₄	—	43	4	no	—
1212	C₂²⋊C₄	—	43	4	no	—
1213	C₂²⋊C₄	—	43	4	no	—
1214	C₂²⋊C₄	—	43	4	no	—
1215	C₂²⋊C₄	—	43	4	no	—
1216	C₂²⋊C₄	—	43	4	no	—
1217	C₂²⋊C₄	—	43	4	no	—
1218	C₂²⋊C₄	—	43	4	no	—
1219	C₂²⋊C₄	—	43	4	no	—
1220	C₂²⋊C₄	—	86	2	no	—
1221	C₂²⋊C₄	—	86	2	no	—
1222	C₂²⋊C₄	—	86	2	no	—
1223	C₂²⋊C₄	—	86	2	no	—
1224	C₂²⋊C₄	—	86	2	no	—
1225	C₂²⋊C₄	—	172	1	no	—
1226	C₂²⋊C₄	—	172	1	no	—
1227	C₂²⋊C₄	—	172	1	no	—
1228	C₂²⋊C₄	—	172	1	no	—
1229	C₂²⋊C₄	—	172	1	no	—
1230	C₂²⋊C₄	—	172	1	no	—
1231	C₂²⋊C₄	—	172	1	no	—
1232	C₂²⋊C₄	—	172	1	no	—
1233	C₂²⋊C₄	—	172	1	no	—
1234	C₂²⋊C₄	—	172	1	no	—
1235	C₂²⋊C₄	C₂×C₄×D₄₃	1	4	yes	—
1236	C₂²⋊C₄	C₂×C₄×D₄₃	1	4	yes	—
1237	C₂²⋊C₄	C₂×C₄×D₄₃	1	4	yes	—
1238	C₄²	—	2	2	no	—
1239	C₄²	—	2	2	no	—
1240	C₄²	—	2	2	no	—
1241	C₄²	—	2	2	no	—
1242	C₄²	—	2	2	no	—
1243	C₄²	—	2	2	no	—
1244	C₄²	—	2	2	no	—
1245	C₄²	—	4	1	no	—
1246	C₄²	—	4	1	no	—
1247	C₄²	—	43	4	no	—
1248	C₄²	—	43	4	no	—
1249	C₄²	—	43	4	no	—
1250	C₄²	—	43	4	no	—
1251	C₄²	—	43	4	no	—
1252	C₄²	—	86	2	no	—
1253	C₄²	—	86	2	no	—
1254	C₄²	—	86	2	no	—
1255	C₄²	—	86	2	no	—
1256	C₄²	—	86	2	no	—
1257	C₄²	—	86	2	no	—
1258	C₄²	—	86	2	no	—
1259	C₄²	—	86	2	no	—
1260	C₄²	—	86	2	no	—
1261	C₄²	—	172	1	no	—
1262	C₄²	—	172	1	no	—
1263	C₄²	—	172	1	no	—
1264	C₄²	—	172	1	no	—
1265	C₄²	—	172	1	no	—
1266	C₄²	—	172	1	no	—
1267	C₄²	—	172	1	no	—
1268	C₄²	—	172	1	no	—
1269	C₄²	—	172	1	no	—
1270	C₄²	—	172	1	no	—
1271	C₄²	C₂×C₄×D₄₃	1	4	yes	—
1272	C₂³	—	2	1	no	—
1273	C₂³	—	2	1	no	—
1274	C₂³	—	2	1	no	—
1275	C₂³	—	2	1	no	—
1276	C₂³	—	2	1	no	—
1277	C₂³	—	2	1	no	—
1278	C₂³	—	43	2	no	—
1279	C₂³	—	43	2	no	—
1280	C₂³	—	86	1	no	—
1281	C₂³	—	86	1	no	—
1282	C₂³	—	86	1	no	—
1283	C₂³	—	86	1	no	—
1284	C₂³	—	86	1	no	—
1285	C₂³	—	86	1	no	—
1286	C₂³	—	86	1	no	—
1287	C₂³	—	86	1	no	—
1288	C₂³	—	86	1	no	—
1289	C₂³	—	86	1	no	—
1290	C₂³	—	86	1	no	—
1291	C₂³	—	86	1	no	—
1292	C₂³	C₂²×C₄×D₄₃	1	2	yes	—
1293	C₂³	C₂⁴×D₄₃	1	1	yes	characteristic
1294	Q₈	—	86	8	no	—
1295	Q₈	—	172	4	no	—
1296	Q₈	—	172	4	no	—
1297	D₄	—	86	8	no	—
1298	D₄	—	172	4	no	—
1299	D₄	—	172	4	no	—
1300	C₂×C₄	—	2	1	no	—
1301	C₂×C₄	—	2	1	no	—
1302	C₂×C₄	—	2	1	no	—
1303	C₂×C₄	—	2	1	no	—
1304	C₂×C₄	—	2	1	no	—
1305	C₂×C₄	—	2	1	no	—
1306	C₂×C₄	—	2	1	no	—
1307	C₂×C₄	—	2	1	no	—
1308	C₂×C₄	—	2	1	no	—
1309	C₂×C₄	—	2	1	no	—
1310	C₂×C₄	—	2	1	no	—
1311	C₂×C₄	—	2	1	no	—
1312	C₂×C₄	—	2	1	no	—
1313	C₂×C₄	—	2	1	no	—
1314	C₂×C₄	—	2	1	no	—
1315	C₂×C₄	—	2	1	no	—
1316	C₂×C₄	—	2	1	no	—
1317	C₂×C₄	—	2	1	no	—
1318	C₂×C₄	—	2	1	no	—
1319	C₂×C₄	—	2	1	no	—
1320	C₂×C₄	—	2	1	no	—
1321	C₂×C₄	—	2	1	no	—
1322	C₂×C₄	—	2	1	no	—
1323	C₂×C₄	—	2	1	no	—
1324	C₂×C₄	—	2	1	no	—
1325	C₂×C₄	—	2	1	no	—
1326	C₂×C₄	—	2	1	no	—
1327	C₂×C₄	—	2	1	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	—	4	4	no	—
1333	C₂×C₄	—	43	2	no	—
1334	C₂×C₄	—	43	2	no	—
1335	C₂×C₄	—	43	2	no	—
1336	C₂×C₄	—	43	2	no	—
1337	C₂×C₄	—	43	2	no	—
1338	C₂×C₄	—	43	2	no	—
1339	C₂×C₄	—	43	2	no	—
1340	C₂×C₄	—	43	2	no	—
1341	C₂×C₄	—	43	2	no	—
1342	C₂×C₄	—	43	2	no	—
1343	C₂×C₄	—	86	8	no	—
1344	C₂×C₄	—	86	1	no	—
1345	C₂×C₄	—	86	1	no	—
1346	C₂×C₄	—	86	1	no	—
1347	C₂×C₄	—	86	1	no	—
1348	C₂×C₄	—	86	1	no	—
1349	C₂×C₄	—	86	1	no	—
1350	C₂×C₄	—	86	1	no	—
1351	C₂×C₄	—	86	1	no	—
1352	C₂×C₄	—	86	1	no	—
1353	C₂×C₄	—	86	1	no	—
1354	C₂×C₄	—	86	1	no	—
1355	C₂×C₄	—	86	1	no	—
1356	C₂×C₄	—	86	1	no	—
1357	C₂×C₄	—	86	1	no	—
1358	C₂×C₄	—	86	1	no	—
1359	C₂×C₄	—	86	1	no	—
1360	C₂×C₄	—	86	1	no	—
1361	C₂×C₄	—	86	1	no	—
1362	C₂×C₄	—	86	1	no	—
1363	C₂×C₄	—	86	1	no	—
1364	C₂×C₄	—	86	1	no	—
1365	C₂×C₄	—	86	1	no	—
1366	C₂×C₄	—	86	1	no	—
1367	C₂×C₄	—	86	1	no	—
1368	C₂×C₄	—	86	1	no	—
1369	C₂×C₄	—	86	1	no	—
1370	C₂×C₄	—	86	1	no	—
1371	C₂×C₄	—	86	1	no	—
1372	C₂×C₄	—	86	1	no	—
1373	C₂×C₄	—	86	1	no	—
1374	C₂×C₄	—	86	1	no	—
1375	C₂×C₄	—	86	1	no	—
1376	C₂×C₄	—	172	4	no	—
1377	C₂×C₄	—	172	4	no	—
1378	C₂×C₄	—	172	4	no	—
1379	C₂×C₄	—	172	4	no	—
1380	C₂×C₄	—	172	4	no	—
1381	C₂×C₄	—	172	4	no	—
1382	C₂×C₄	—	172	4	no	—
1383	C₂×C₄	C₂²×C₄×D₄₃	1	2	yes	—
1384	C₂×C₄	C₂²×C₄×D₄₃	1	2	yes	—
1385	C₂×C₄	C₂²×C₄×D₄₃	1	2	yes	—
1386	C₂×C₄	C₂²×C₄×D₄₃	1	2	yes	—
1387	C₂×C₄	C₂²×C₄×D₄₃	1	2	yes	—
1388	C₂×C₄	C₂²×C₄×D₄₃	1	2	yes	—
1389	C₂×C₄	#41×D₄₃	1	2	yes	—
1390	C₂×C₄	#41×D₄₃	1	2	yes	—
1391	C₂×C₄	#13063371	1	2	yes	—
1392	C₂×C₄	#13063372	1	2	yes	—
1393	C₂²	—	2	2	no	—
1394	C₂²	—	2	2	no	—
1395	C₂²	—	2	2	no	—
1396	C₂²	—	4	1	no	—
1397	C₂²	—	4	1	no	—
1398	C₂²	—	4	1	no	—
1399	C₂²	—	4	1	no	—
1400	C₂²	—	86	2	no	—
1401	C₂²	—	86	2	no	—
1402	C₂²	—	86	2	no	—
1403	C₂²	—	86	2	no	—
1404	C₂²	—	86	2	no	—
1405	C₂²	—	86	2	no	—
1406	C₂²	—	172	1	no	—
1407	C₂²	—	172	1	no	—
1408	C₂²	—	172	1	no	—
1409	C₂²	—	172	1	no	—
1410	C₂²	—	172	1	no	—
1411	C₂²	—	172	1	no	—
1412	C₂²	—	172	1	no	—
1413	C₂²	—	172	1	no	—
1414	C₂²	C₂³×C₄×D₄₃	1	1	yes	characteristic
1415	C₂²	C₂×#41×D₄₃	1	1	yes	characteristic
1416	C₂²	C₂×#41×D₄₃	1	1	yes	characteristic
1417	C₂²	C₂×#13063371	1	1	yes	characteristic
1418	C₂²	C₂×#13063372	1	1	yes	characteristic
1419	C₂²	#14583735	1	1	yes	characteristic
1420	C₂²	#14583735	1	1	yes	characteristic
1421	C₄	—	2	2	no	—
1422	C₄	—	2	2	no	—
1423	C₄	—	2	2	no	—
1424	C₄	—	2	2	no	—
1425	C₄	—	2	2	no	—
1426	C₄	—	2	2	no	—
1427	C₄	—	2	2	no	—
1428	C₄	—	4	1	no	—
1429	C₄	—	4	1	no	—
1430	C₄	—	4	1	no	—
1431	C₄	—	4	1	no	—
1432	C₄	—	4	1	no	—
1433	C₄	—	4	1	no	—
1434	C₄	—	43	4	no	—
1435	C₄	—	86	2	no	—
1436	C₄	—	86	2	no	—
1437	C₄	—	86	2	no	—
1438	C₄	—	86	2	no	—
1439	C₄	—	86	2	no	—
1440	C₄	—	86	2	no	—
1441	C₄	—	86	2	no	—
1442	C₄	—	172	1	no	—
1443	C₄	—	172	1	no	—
1444	C₄	—	172	1	no	—
1445	C₄	—	172	1	no	—
1446	C₄	—	172	1	no	—
1447	C₄	—	172	1	no	—
1448	C₄	#14583515	1	4	yes	direct product factor
1449	C₂	—	4	2	no	—
1450	C₂	—	172	2	no	—
1451	C₂	—	172	2	no	—
1452	C₂	C₄×#41×D₄₃	1	1	yes	characteristic
1453	C₂	C₄×#13063371	1	1	yes	characteristic
1454	C₂	C₄×#13063372	1	1	yes	characteristic
1455	C₂	C₂×#14583515	1	1	yes	characteristic
1456	C₂	#19147978	1	1	yes	characteristic
1457	C₂	#19148016	1	1	yes	characteristic
1458	C₂	#19148024	1	1	yes	characteristic

	subgroup	G/H
center	C₂²×C₄	C₂³×D₄₃
commutator	C₂²×C₄₃	C₂⁴×C₄
Frattini	C₂³	C₂⁴×D₄₃
Fitting	C₄×#126×C₄₃	C₂
socle, cosocle	C₂³×C₄₃	C₂⁵
prime radical	C₂×#13063298	C₂²
hypercenter	C₄×#126	D₄₃
hypocenter	C₄₃	C₄×#542
LCS	G ▷ C₂²×C₄₃ ▷ C₄₃
UCS	C₁ ◁ C₂²×C₄ ◁ C₄×#126

Complements

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

N	H ≅ G/N	type
2. #19137406	C₂	semidirect
3. #19137405	C₂	semidirect
4. #19137390	C₂	semidirect
5. #19137384	C₂	semidirect
6. #19137376	C₂	semidirect
7. #19137374	C₂	semidirect
8. #19137347	C₂	semidirect
9. #19137345	C₂	semidirect
10. #19137340	C₂	semidirect
11. #19137304	C₂	semidirect
13. #19137276	C₂	semidirect
14. #19137245	C₂	semidirect
15. #19137236	C₂	semidirect
16. #19137201	C₂	semidirect
17. C₄×#13063324	C₂	semidirect
18. C₄×#13063320	C₂	semidirect
19. C₄×#13063313	C₂	semidirect
20. C₄×#13063311	C₂	semidirect
21. C₄×#13063311	C₂	semidirect
22. C₄×#13063305	C₂	semidirect
23. C₄×#13063303	C₂	semidirect
24. C₄×#13063302	C₂	semidirect
25. C₄×#13063310	C₂	semidirect
26. C₄×#13063309	C₂	semidirect
28. C₄²×Dic₈₆	C₂	semidirect
29. C₄×(C₂²⋊D₄₃)⋊C₄	C₂	semidirect
30. C₄×#13063283	C₂	semidirect
31. C₄×#126×C₄₃	C₂	semidirect
32. #14583515	C₄	direct (N × H)
202. #13063324	C₂×C₄	semidirect
203. #13063320	C₂×C₄	semidirect
204. #13063313	C₂×C₄	semidirect
205. #13063311	C₂×C₄	semidirect
206. #13063311	C₂×C₄	semidirect
207. #13063310	C₂×C₄	semidirect
208. #13063309	C₂×C₄	semidirect
209. #13063305	C₂×C₄	semidirect
210. #13063303	C₂×C₄	semidirect
211. #13063302	C₂×C₄	semidirect
217. C₄×Dic₈₆	C₂×C₄	semidirect
222. (C₂²⋊D₄₃)⋊C₄	C₂×C₄	semidirect
224. #13063283	C₂×C₄	semidirect
335. #126×C₄₃	C₂×C₄	semidirect
705. C₄×C₄₃	#542	semidirect
738. C₄×#126	D₄₃	semidirect
917. C₄₃	C₄×#542	semidirect
935. #126	C₄×D₄₃	semidirect
1448. C₄	#14583515	direct (N × H)

Maximal subgroups

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

subgroup	index
C₂×#14583515	2
#19137406	2
#19137405	2
#19137390	2
#19137384	2
#19137376	2
#19137374	2
#19137347	2
#19137345	2
#19137340	2
#19137304	2
#19137283	2
#19137276	2
#19137245	2
#19137236	2
#19137201	2
C₄×#13063324	2
C₄×#13063320	2
C₄×#13063313	2
C₄×#13063311	2
C₄×#13063305	2
C₄×#13063303	2
C₄×#13063302	2
C₄×#13063310	2
C₄×#13063309	2
C₄×#13063298	2
C₄²×Dic₈₆	2
C₄×(C₂²⋊D₄₃)⋊C₄	2
C₄×#13063283	2
C₄×#126×C₄₃	2
C₄×#542	43

Subgroups — C4×#14583515 #25255715

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₄×#14583515 #25255715