Subgroups — #26005245

Order 11008.

7242 conjugacy classes of subgroups.

The subgroup lattice has 1042 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#19148892	C₂	1	8	yes	maximal, complemented
2	#19148840	C₂	1	4	yes	maximal, complemented
3	#19148824	C₂	1	4	yes	maximal, complemented
4	#19148804	C₂	1	8	yes	maximal, complemented
5	#19148638	C₂	1	8	yes	maximal, complemented
6	#19148436	C₂	1	4	yes	maximal, complemented
7	#19148391	C₂	1	4	yes	maximal, complemented
8	#19148341	C₂	1	4	yes	maximal, complemented
9	#19148304	C₂	1	4	yes	maximal, complemented
10	#19148304	C₂	1	2	yes	maximal, complemented
11	#19148284	C₂	1	4	yes	maximal, complemented
12	#19148271	C₂	1	4	yes	maximal, complemented
13	#19148246	C₂	1	2	yes	maximal, complemented
14	C₂×#14583410	C₂	1	2	yes	maximal, complemented
15	C₂²×C₂²⋊Q₈×C₄₃	C₂	1	1	yes	maximal, characteristic, complemented
16	C₂×#13063373	C₂²	1	2	yes	complemented
17	C₂²×#10621898	C₂²	1	2	yes	complemented
18	#14583650	C₂²	1	16	yes	complemented
19	#14583645	C₂²	1	16	yes	complemented
20	#14583620	C₂²	1	8	yes	complemented
21	#14583607	C₂²	1	8	yes	complemented
22	#14583604	C₂²	1	8	yes	complemented
23	#14583604	C₂²	1	16	yes	complemented
24	#14583603	C₂²	1	16	yes	complemented
25	#14583597	C₂²	1	16	yes	complemented
26	#14583597	C₂²	1	8	yes	complemented
27	#14583591	C₂²	1	8	yes	complemented
28	#14583584	C₂²	1	16	yes	complemented
29	#14583584	C₂²	1	8	yes	complemented
30	#14583583	C₂²	1	8	yes	complemented
31	#14583576	C₂²	1	16	yes	complemented
32	#14583575	C₂²	1	16	yes	complemented
33	#14583575	C₂²	1	16	yes	complemented
34	Q₈×C₂²⋊D₄₃	C₂²	1	8	yes	complemented
35	Q₈×C₂²⋊D₄₃	C₂²	1	8	yes	complemented
36	#14583562	C₂²	1	8	yes	complemented
37	#14583560	C₂²	1	8	yes	complemented
38	#14583560	C₂²	1	8	yes	complemented
39	#14583559	C₂²	1	8	yes	complemented
40	#14583551	C₂²	1	8	yes	complemented
41	#14583550	C₂²	1	16	yes	complemented
42	#14583550	C₂²	1	8	yes	complemented
43	#14583540	C₂²	1	8	yes	complemented
44	#14583539	C₂²	1	16	yes	complemented
45	#14583539	C₂²	1	16	yes	complemented
46	#14583530	C₂²	1	4	yes	complemented
47	#14583530	C₂²	1	2	yes	complemented
48	#14583528	C₂²	1	8	yes	complemented
49	#14583525	C₂²	1	4	yes	—
50	#14583524	C₂²	1	8	yes	complemented
51	#14583522	C₂²	1	8	yes	complemented
52	#14583519	C₂²	1	16	yes	complemented
53	#14583509	C₂²	1	8	yes	complemented
54	#14583498	C₂²	1	8	yes	complemented
55	#14583496	C₂²	1	8	yes	complemented
56	#14583496	C₂²	1	8	yes	complemented
57	#14583496	C₂²	1	8	yes	complemented
58	#14583495	C₂²	1	16	yes	complemented
59	#14583489	C₂²	1	8	yes	complemented
60	#14583487	C₂²	1	8	yes	complemented
61	#14583487	C₂²	1	8	yes	complemented
62	#14583480	C₂²	1	4	yes	complemented
63	#14583480	C₂²	1	2	yes	complemented
64	#14583479	C₂²	1	8	yes	complemented
65	#14583473	C₂²	1	8	yes	complemented
66	#14583473	C₂²	1	4	yes	complemented
67	#14583472	C₂²	1	8	yes	complemented
68	#14583461	C₂²	1	4	yes	—
69	#14583451	C₂²	1	8	yes	complemented
70	#14583435	C₂²	1	8	yes	complemented
71	#14583412	C₂²	1	8	yes	complemented
72	#14583410	C₂²	1	4	yes	—
73	#14583410	C₂²	1	4	yes	—
74	#14583410	C₂²	1	4	yes	—
75	#14583410	C₂²	1	4	yes	—
76	#14583410	C₂²	1	4	yes	complemented
77	#14583410	C₂²	1	8	yes	complemented
78	#14583410	C₂²	1	4	yes	complemented
79	#14583410	C₂²	1	8	yes	complemented
80	#14583410	C₂²	1	4	yes	complemented
81	#14583410	C₂²	1	4	yes	complemented
82	C₂×#13063308	C₂²	1	4	yes	complemented
83	C₂×#13063304	C₂²	1	2	yes	—
84	C₂×#13063304	C₂²	1	2	yes	complemented
85	C₂²⋊Q₈×D₄₃	C₂²	1	8	yes	complemented
86	C₂×#13063299	C₂²	1	2	yes	—
87	C₂×#13063299	C₂²	1	2	yes	complemented
88	C₂×#13063294	C₂²	1	4	yes	—
89	#14583380	C₂²	1	4	yes	complemented
90	#14583380	C₂²	1	8	yes	complemented
91	#14583377	C₂²	1	2	yes	complemented
92	#14583372	C₂²	1	8	yes	—
93	C₂×C₄×C₂²⋊D₄₃	C₂²	1	4	yes	—
94	C₂×C₄×C₂²⋊D₄₃	C₂²	1	4	yes	complemented
95	C₂×#13063284	C₂²	1	2	yes	complemented
96	C₂³×Q₈×C₄₃	C₂²	1	1	yes	characteristic, complemented
97	C₂⁴×C₄×C₄₃	C₂²	1	1	yes	characteristic
98	C₂×C₂²⋊Q₈×C₄₃	C₂²	1	4	yes	—
99	C₂×C₂²⋊Q₈×C₄₃	C₂²	1	4	yes	complemented
100	C₂×C₂²⋊Q₈×C₄₃	C₂²	1	4	yes	complemented
101	C₂×C₂²⋊Q₈×C₄₃	C₂²	1	4	yes	complemented
102	C₂×C₂²⋊Q₈×C₄₃	C₂²	1	4	yes	complemented
103	C₂×C₂²⋊Q₈×C₄₃	C₂²	1	4	yes	complemented
104	C₂²×C₄⋊C₄×C₄₃	C₂²	1	1	yes	characteristic, complemented
105	C₂²×C₄⋊C₄×C₄₃	C₂²	1	2	yes	complemented
106	C₂²×C₂²⋊C₄×C₄₃	C₂²	1	2	yes	—
107	#13063373	—	4	8	no	—
108	C₂×#10621902	C₂³	1	8	yes	complemented
109	C₂×#10621898	—	4	8	no	—
110	C₂×#10621898	C₂³	1	4	yes	—
111	C₂×#10621898	C₂³	1	4	yes	—
112	C₂×#10621898	C₂³	1	8	yes	—
113	C₂×#10621898	C₂³	1	4	yes	—
114	C₂×#10621898	C₂³	1	4	yes	—
115	C₂×#10621898	C₂³	1	8	yes	—
116	C₂²×Dic₈₆	C₂³	1	2	yes	—
117	C₂×Q₈×D₄₃	C₂³	1	8	yes	complemented
118	C₂²×D₁₇₂	C₂³	1	2	yes	—
119	C₂²×C₂²⋊D₄₃	C₂³	1	4	yes	—
120	C₂²×C₂²⋊D₄₃	C₂³	1	4	yes	—
121	C₂²×C₂²⋊D₄₃	C₂³	1	4	yes	—
122	C₂²×C₄×D₄₃	C₂³	1	4	yes	—
123	#13063324	C₂³	1	16	yes	complemented
124	#13063324	C₂³	1	8	yes	complemented
125	#13063323	C₂³	1	8	yes	complemented
126	#13063323	C₂³	1	16	yes	complemented
127	#13063320	C₂³	1	16	yes	complemented
128	#13063320	C₂³	1	16	yes	complemented
129	#13063320	C₂³	1	16	yes	complemented
130	#13063318	C₂³	1	16	yes	—
131	#13063318	C₂³	1	16	yes	—
132	#13063316	C₂³	1	8	yes	complemented
133	#13063316	C₂³	1	16	yes	complemented
134	#13063315	C₂³	1	16	yes	complemented
135	#13063315	C₂³	1	16	yes	complemented
136	#13063315	C₂³	1	16	yes	complemented
137	#13063314	C₂³	1	8	yes	complemented
138	#13063314	C₂³	1	16	yes	complemented
139	#13063311	C₂³	1	16	yes	—
140	#13063311	C₂³	1	16	yes	—
141	#13063310	C₂³	1	16	yes	complemented
142	#13063310	C₂³	1	16	yes	complemented
143	#13063310	C₂³	1	16	yes	complemented
144	#13063309	C₂³	1	16	yes	—
145	#13063308	C₂³	1	16	yes	—
146	#13063308	C₂³	1	16	yes	—
147	#13063308	C₂³	1	8	yes	—
148	#13063308	C₂³	1	8	yes	—
149	#13063308	C₂³	1	8	yes	—
150	#13063308	C₂³	1	8	yes	—
151	#13063307	C₂³	1	16	yes	—
152	#13063307	C₂³	1	16	yes	—
153	#13063305	C₂³	1	8	yes	complemented
154	#13063305	C₂³	1	16	yes	complemented
155	#13063304	C₂³	1	8	yes	—
156	#13063304	C₂³	1	4	yes	—
157	#13063304	C₂³	1	4	yes	—
158	#13063304	C₂³	1	8	yes	—
159	#13063304	C₂³	1	8	yes	—
160	#13063304	C₂³	1	4	yes	—
161	#13063304	C₂³	1	8	yes	—
162	#13063304	C₂³	1	4	yes	—
163	#13063304	C₂³	1	4	yes	—
164	#13063304	C₂³	1	4	yes	—
165	#13063304	C₂³	1	4	yes	—
166	#13063304	C₂³	1	4	yes	—
167	#13063303	C₂³	1	16	yes	complemented
168	#13063303	C₂³	1	16	yes	complemented
169	#13063303	C₂³	1	16	yes	complemented
170	#13063302	C₂³	1	16	yes	—
171	#13063302	C₂³	1	16	yes	—
172	#13063301	C₂³	1	16	yes	complemented
173	#13063301	C₂³	1	8	yes	complemented
174	#13063301	C₂³	1	16	yes	complemented
175	#13063301	C₂³	1	8	yes	complemented
176	#13063300	C₂³	1	8	yes	complemented
177	#13063300	C₂³	1	16	yes	complemented
178	#13063299	C₂³	1	4	yes	—
179	#13063299	C₂³	1	8	yes	—
180	#13063299	C₂³	1	4	yes	—
181	#13063299	C₂³	1	8	yes	—
182	#13063299	C₂³	1	4	yes	—
183	#13063299	C₂³	1	8	yes	—
184	#13063299	C₂³	1	4	yes	—
185	#13063299	C₂³	1	4	yes	—
186	#13063299	C₂³	1	4	yes	—
187	#13063299	C₂³	1	4	yes	—
188	#13063299	C₂³	1	4	yes	—
189	#13063299	C₂³	1	8	yes	—
190	#13063298	C₂³	1	16	yes	—
191	#13063298	C₂³	1	16	yes	—
192	#13063295	C₂³	1	16	yes	—
193	#13063294	C₂³	1	8	yes	—
194	#13063294	C₂³	1	8	yes	—
195	#13063294	C₂³	1	8	yes	—
196	#13063294	C₂³	1	8	yes	—
197	Q₈×Dic₄₃	C₂³	1	8	yes	complemented
198	Q₈×Dic₄₃	C₂³	1	8	yes	complemented
199	#13063290	C₂³	1	8	yes	complemented
200	#13063290	C₂³	1	16	yes	complemented
201	#13063287	C₂³	1	16	yes	complemented
202	#13063287	C₂³	1	8	yes	complemented
203	C₄×C₂²⋊D₄₃	C₂³	1	8	yes	—
204	C₄×C₂²⋊D₄₃	C₂³	1	16	yes	—
205	C₄×C₂²⋊D₄₃	C₂³	1	8	yes	—
206	C₄×C₂²⋊D₄₃	C₂³	1	8	yes	—
207	C₄×C₂²⋊D₄₃	C₂³	1	16	yes	—
208	C₄×C₂²⋊D₄₃	C₂³	1	8	yes	—
209	C₄×C₂²⋊D₄₃	C₂³	1	16	yes	—
210	C₄×C₂²⋊D₄₃	C₂³	1	8	yes	—
211	C₄×C₂²⋊D₄₃	C₂³	1	8	yes	—
212	C₄×C₂²⋊D₄₃	C₂³	1	16	yes	—
213	C₄×C₂²⋊D₄₃	C₂³	1	8	yes	—
214	C₄×C₂²⋊D₄₃	C₂³	1	8	yes	—
215	(C₂²⋊D₄₃)⋊C₄	C₂³	1	16	yes	—
216	(C₂²⋊D₄₃)⋊C₄	C₂³	1	16	yes	—
217	#13063284	C₂³	1	8	yes	—
218	#13063284	C₂³	1	8	yes	—
219	#13063284	C₂³	1	4	yes	—
220	#13063284	C₂³	1	4	yes	—
221	#13063284	C₂³	1	4	yes	—
222	#13063284	C₂³	1	4	yes	—
223	#13063283	C₂³	1	16	yes	complemented
224	#13063283	C₂³	1	8	yes	complemented
225	#13063281	C₂³	1	16	yes	—
226	C₂×C₄⋊Dic₄₃	C₂³	1	2	yes	—
227	C₂×C₄⋊Dic₄₃	C₂³	1	2	yes	—
228	C₂×Dic₄₃⋊C₄	C₂³	1	4	yes	—
229	C₂×Dic₄₃⋊C₄	C₂³	1	4	yes	—
230	C₄⋊C₄×D₄₃	C₂³	1	8	yes	complemented
231	C₄⋊C₄×D₄₃	C₂³	1	16	yes	complemented
232	C₂×C₂²⋊Dic₄₃	C₂³	1	4	yes	—
233	C₂×C₂²⋊Dic₄₃	C₂³	1	4	yes	—
234	C₂×C₂²⋊Dic₄₃	C₂³	1	4	yes	—
235	C₂×(C₂×D₄₃)⋊C₄	C₂³	1	4	yes	—
236	C₂×(C₂×D₄₃)⋊C₄	C₂³	1	4	yes	—
237	C₂²⋊C₄×D₄₃	C₂³	1	16	yes	—
238	C₂×C₄×Dic₄₃	C₂³	1	4	yes	—
239	C₂⁵×C₄₃	C₂³	1	1	yes	characteristic
240	C₂²×Q₈×C₄₃	—	4	4	no	—
241	C₂²×Q₈×C₄₃	C₂³	1	2	yes	—
242	C₂²×Q₈×C₄₃	C₂³	1	4	yes	—
243	C₂²×Q₈×C₄₃	C₂³	1	4	yes	—
244	C₂²×Q₈×C₄₃	C₂³	1	2	yes	—
245	C₂³×C₄×C₄₃	—	4	4	no	—
246	C₂³×C₄×C₄₃	C₂³	1	1	yes	characteristic
247	C₂³×C₄×C₄₃	C₂³	1	2	yes	—
248	C₂³×C₄×C₄₃	C₂³	1	2	yes	—
249	C₂³×C₄×C₄₃	C₂³	1	2	yes	—
250	C₂³×C₄×C₄₃	C₂³	1	1	yes	characteristic
251	C₂³×C₄×C₄₃	C₂³	1	2	yes	—
252	C₂³×C₄×C₄₃	C₂³	1	2	yes	—
253	C₂³×C₄×C₄₃	C₂³	1	2	yes	—
254	C₂³×C₄×C₄₃	C₂³	1	2	yes	—
255	C₂³×C₄×C₄₃	C₂³	1	2	yes	—
256	C₂²⋊Q₈×C₄₃	C₂³	1	8	yes	—
257	C₂²⋊Q₈×C₄₃	C₂³	1	8	yes	—
258	C₂²⋊Q₈×C₄₃	C₂³	1	8	yes	—
259	C₂²⋊Q₈×C₄₃	C₂³	1	8	yes	—
260	C₂²⋊Q₈×C₄₃	C₂³	1	8	yes	—
261	C₂²⋊Q₈×C₄₃	C₂³	1	8	yes	—
262	C₂²⋊Q₈×C₄₃	C₂³	1	8	yes	—
263	C₂²⋊Q₈×C₄₃	C₂³	1	8	yes	—
264	C₂×C₄⋊C₄×C₄₃	C₂³	1	4	yes	—
265	C₂×C₄⋊C₄×C₄₃	C₂³	1	8	yes	—
266	C₂×C₄⋊C₄×C₄₃	C₂³	1	4	yes	—
267	C₂×C₄⋊C₄×C₄₃	C₂³	1	8	yes	—
268	C₂×C₄⋊C₄×C₄₃	C₂³	1	2	yes	—
269	C₂×C₄⋊C₄×C₄₃	C₂³	1	4	yes	—
270	C₂×C₄⋊C₄×C₄₃	C₂³	1	4	yes	—
271	C₂×C₄⋊C₄×C₄₃	C₂³	1	2	yes	—
272	C₂×C₂²⋊C₄×C₄₃	C₂³	1	8	yes	—
273	C₂×C₂²⋊C₄×C₄₃	C₂³	1	8	yes	—
274	C₂×C₂²⋊C₄×C₄₃	C₂³	1	4	yes	—
275	C₂×C₂²⋊C₄×C₄₃	C₂³	1	4	yes	—
276	C₂⁴×C₄₃	—	2	4	no	—
277	C₂⁴×C₄₃	—	4	2	no	—
278	C₂⁴×C₄₃	—	4	2	no	—
279	C₂⁴×C₄₃	C₂⁴	1	1	yes	characteristic
280	C₂⁴×C₄₃	C₂⁴	1	2	yes	—
281	C₂⁴×C₄₃	C₂⁴	1	2	yes	—
282	C₂⁴×C₄₃	C₂⁴	1	1	yes	characteristic
283	C₂⁴×C₄₃	C₂⁴	1	1	yes	characteristic
284	C₂³×D₄₃	C₂⁴	1	4	yes	—
285	C₂×Q₈×C₄₃	—	2	8	no	—
286	C₂×Q₈×C₄₃	—	4	4	no	—
287	C₂×Q₈×C₄₃	—	4	8	no	—
288	C₂×Q₈×C₄₃	—	4	8	no	—
289	C₂×Q₈×C₄₃	C₂⁴	1	8	yes	—
290	C₂×Q₈×C₄₃	C₂⁴	1	8	yes	—
291	C₂²×C₄×C₄₃	—	2	4	no	—
292	C₂²×C₄×C₄₃	—	2	8	no	—
293	C₂²×C₄×C₄₃	—	4	2	no	—
294	C₂²×C₄×C₄₃	—	4	4	no	—
295	C₂²×C₄×C₄₃	—	4	4	no	—
296	C₂²×C₄×C₄₃	—	4	4	no	—
297	C₂²×C₄×C₄₃	—	4	4	no	—
298	C₂²×C₄×C₄₃	—	4	4	no	—
299	C₂²×C₄×C₄₃	—	4	4	no	—
300	C₂²×C₄×C₄₃	—	4	4	no	—
301	C₂²×C₄×C₄₃	C₂⁴	1	4	yes	—
302	C₂²×C₄×C₄₃	C₂⁴	1	4	yes	—
303	C₂²×C₄×C₄₃	C₂⁴	1	2	yes	—
304	C₂²×C₄×C₄₃	C₂⁴	1	2	yes	—
305	C₂²×C₄×C₄₃	C₂⁴	1	2	yes	—
306	C₂²×C₄×C₄₃	C₂⁴	1	1	yes	characteristic
307	C₂²×C₄×C₄₃	C₂⁴	1	2	yes	—
308	C₂²×C₄×C₄₃	C₂⁴	1	2	yes	—
309	C₂²×C₄×C₄₃	C₂⁴	1	2	yes	—
310	C₂²×C₄×C₄₃	C₂⁴	1	2	yes	—
311	C₂²×C₄×C₄₃	C₂⁴	1	4	yes	—
312	C₂²×C₄×C₄₃	C₂⁴	1	4	yes	—
313	C₂²×C₄×C₄₃	C₂⁴	1	4	yes	—
314	C₂²×C₄×C₄₃	C₂⁴	1	4	yes	—
315	C₂²×C₄×C₄₃	C₂⁴	1	1	yes	characteristic
316	C₂²×C₄×C₄₃	C₂⁴	1	2	yes	—
317	C₂²×C₄×C₄₃	C₂⁴	1	1	yes	characteristic
318	C₂²×C₄×C₄₃	C₂⁴	1	2	yes	—
319	C₂²×C₄×C₄₃	C₂⁴	1	2	yes	—
320	C₂²×C₄×C₄₃	C₂⁴	1	2	yes	—
321	C₂²×C₄×C₄₃	C₂⁴	1	2	yes	—
322	C₂²×C₄×C₄₃	C₂⁴	1	1	yes	characteristic
323	C₂×C₂²⋊D₄₃	—	2	16	no	—
324	C₂×C₂²⋊D₄₃	—	4	8	no	—
325	C₂×C₂²⋊D₄₃	—	4	8	no	—
326	C₂×C₂²⋊D₄₃	C₂⁴	1	8	yes	—
327	C₂×C₂²⋊D₄₃	C₂⁴	1	8	yes	—
328	C₂×C₂²⋊D₄₃	C₂⁴	1	8	yes	—
329	C₂×C₂²⋊D₄₃	C₂⁴	1	8	yes	—
330	C₂×C₂²⋊D₄₃	C₂⁴	1	8	yes	—
331	C₂×C₂²⋊D₄₃	C₂⁴	1	8	yes	—
332	C₂²×Dic₄₃	C₂⁴	1	4	yes	—
333	C₂²×Dic₄₃	C₂⁴	1	4	yes	—
334	C₂²×Dic₄₃	C₂⁴	1	4	yes	—
335	#10621902	—	4	16	no	—
336	Q₈×D₄₃	—	4	16	no	—
337	#10621898	—	2	16	no	—
338	#10621898	—	4	8	no	—
339	#10621898	—	4	8	no	—
340	#10621898	—	4	8	no	—
341	#10621898	—	4	16	no	—
342	#10621898	—	4	16	no	—
343	C₂×D₁₇₂	—	4	4	no	—
344	C₂×D₁₇₂	C₂⁴	1	4	yes	—
345	C₂×D₁₇₂	C₂⁴	1	8	yes	—
346	C₂×D₁₇₂	C₂⁴	1	8	yes	—
347	C₂×D₁₇₂	C₂⁴	1	4	yes	—
348	C₂×C₄×D₄₃	—	4	8	no	—
349	C₂×C₄×D₄₃	C₂⁴	1	8	yes	—
350	C₂×C₄×D₄₃	C₂⁴	1	16	yes	—
351	C₂×C₄×D₄₃	C₂⁴	1	16	yes	—
352	C₂×C₄×D₄₃	C₂⁴	1	8	yes	—
353	C₂×Dic₈₆	—	4	4	no	—
354	C₂×Dic₈₆	C₂⁴	1	4	yes	—
355	C₂×Dic₈₆	C₂⁴	1	8	yes	—
356	C₂×Dic₈₆	C₂⁴	1	8	yes	—
357	C₂×Dic₈₆	C₂⁴	1	4	yes	—
358	C₄⋊C₄×C₄₃	C₂⁴	1	8	yes	—
359	C₄⋊C₄×C₄₃	C₂⁴	1	16	yes	—
360	C₄⋊C₄×C₄₃	C₂⁴	1	16	yes	—
361	C₄⋊C₄×C₄₃	C₂⁴	1	8	yes	—
362	C₂²⋊C₄×C₄₃	C₂⁴	1	16	yes	—
363	C₂²⋊C₄×C₄₃	C₂⁴	1	16	yes	—
364	C₂²⋊Dic₄₃	C₂⁴	1	8	yes	—
365	C₂²⋊Dic₄₃	C₂⁴	1	8	yes	—
366	C₂²⋊Dic₄₃	C₂⁴	1	8	yes	—
367	C₂²⋊Dic₄₃	C₂⁴	1	8	yes	—
368	C₂²⋊Dic₄₃	C₂⁴	1	8	yes	—
369	C₂²⋊Dic₄₃	C₂⁴	1	8	yes	—
370	(C₂×D₄₃)⋊C₄	C₂⁴	1	16	yes	—
371	(C₂×D₄₃)⋊C₄	C₂⁴	1	16	yes	—
372	(C₂×D₄₃)⋊C₄	C₂⁴	1	8	yes	—
373	(C₂×D₄₃)⋊C₄	C₂⁴	1	8	yes	—
374	(C₂×D₄₃)⋊C₄	C₂⁴	1	8	yes	—
375	(C₂×D₄₃)⋊C₄	C₂⁴	1	8	yes	—
376	(C₂×D₄₃)⋊C₄	C₂⁴	1	16	yes	—
377	(C₂×D₄₃)⋊C₄	C₂⁴	1	16	yes	—
378	C₄⋊Dic₄₃	C₂⁴	1	4	yes	—
379	C₄⋊Dic₄₃	C₂⁴	1	8	yes	—
380	C₄⋊Dic₄₃	C₂⁴	1	4	yes	—
381	C₄⋊Dic₄₃	C₂⁴	1	4	yes	—
382	C₄⋊Dic₄₃	C₂⁴	1	4	yes	—
383	C₄⋊Dic₄₃	C₂⁴	1	8	yes	—
384	C₄⋊Dic₄₃	C₂⁴	1	8	yes	—
385	C₄⋊Dic₄₃	C₂⁴	1	8	yes	—
386	Dic₄₃⋊C₄	C₂⁴	1	8	yes	—
387	Dic₄₃⋊C₄	C₂⁴	1	16	yes	—
388	Dic₄₃⋊C₄	C₂⁴	1	16	yes	—
389	Dic₄₃⋊C₄	C₂⁴	1	8	yes	—
390	Dic₄₃⋊C₄	C₂⁴	1	8	yes	—
391	Dic₄₃⋊C₄	C₂⁴	1	8	yes	—
392	Dic₄₃⋊C₄	C₂⁴	1	16	yes	—
393	Dic₄₃⋊C₄	C₂⁴	1	16	yes	—
394	C₄×Dic₄₃	C₂⁴	1	8	yes	—
395	C₄×Dic₄₃	C₂⁴	1	8	yes	—
396	C₄×Dic₄₃	C₂⁴	1	16	yes	—
397	C₄×Dic₄₃	C₂⁴	1	16	yes	—
398	C₂³×C₄₃	—	2	2	no	—
399	C₂³×C₄₃	—	2	2	no	—
400	C₂³×C₄₃	—	2	2	no	—
401	C₂³×C₄₃	—	2	4	no	—
402	C₂³×C₄₃	—	2	4	no	—
403	C₂³×C₄₃	—	2	4	no	—
404	C₂³×C₄₃	—	2	2	no	—
405	C₂³×C₄₃	—	2	4	no	—
406	C₂³×C₄₃	—	4	1	no	—
407	C₂³×C₄₃	—	4	2	no	—
408	C₂³×C₄₃	—	4	1	no	—
409	C₂³×C₄₃	—	4	1	no	—
410	C₂³×C₄₃	—	4	2	no	—
411	C₂³×C₄₃	—	4	1	no	—
412	C₂³×C₄₃	—	4	16	no	—
413	C₂³×C₄₃	2₋¹⁺⁴	1	4	yes	complemented
414	C₂³×C₄₃	C₂⁵	1	2	yes	—
415	C₂³×C₄₃	C₂⁵	1	1	yes	characteristic
416	C₂³×C₄₃	C₂⁵	1	1	yes	characteristic
417	C₂³×C₄₃	C₂⁵	1	2	yes	—
418	C₂³×C₄₃	C₂⁵	1	1	yes	characteristic
419	C₂²×D₄₃	—	2	8	no	—
420	C₂²×D₄₃	—	4	4	no	—
421	C₂²×D₄₃	—	4	4	no	—
422	C₂²×D₄₃	C₂⁵	1	8	yes	—
423	Q₈×C₄₃	—	2	16	no	—
424	Q₈×C₄₃	—	4	8	no	—
425	C₂×C₄×C₄₃	—	2	4	no	—
426	C₂×C₄×C₄₃	—	2	8	no	—
427	C₂×C₄×C₄₃	—	2	2	no	—
428	C₂×C₄×C₄₃	—	2	8	no	—
429	C₂×C₄×C₄₃	—	2	4	no	—
430	C₂×C₄×C₄₃	—	2	4	no	—
431	C₂×C₄×C₄₃	—	2	4	no	—
432	C₂×C₄×C₄₃	—	2	4	no	—
433	C₂×C₄×C₄₃	—	2	4	no	—
434	C₂×C₄×C₄₃	—	2	4	no	—
435	C₂×C₄×C₄₃	—	4	1	no	—
436	C₂×C₄×C₄₃	—	4	2	no	—
437	C₂×C₄×C₄₃	—	4	2	no	—
438	C₂×C₄×C₄₃	—	4	2	no	—
439	C₂×C₄×C₄₃	—	4	1	no	—
440	C₂×C₄×C₄₃	—	4	2	no	—
441	C₂×C₄×C₄₃	—	4	2	no	—
442	C₂×C₄×C₄₃	—	4	4	no	—
443	C₂×C₄×C₄₃	—	4	4	no	—
444	C₂×C₄×C₄₃	—	4	4	no	—
445	C₂×C₄×C₄₃	—	4	4	no	—
446	C₂×C₄×C₄₃	H(5,𝔽₂)	1	4	yes	—
447	C₂×C₄×C₄₃	C₂⁵	1	2	yes	—
448	C₂×C₄×C₄₃	C₂⁵	1	8	yes	—
449	C₂×C₄×C₄₃	C₂⁵	1	8	yes	—
450	C₂×C₄×C₄₃	C₂⁵	1	2	yes	—
451	C₂×C₄×C₄₃	C₂⁵	1	2	yes	—
452	C₂×C₄×C₄₃	C₂⁵	1	2	yes	—
453	C₂²⋊D₄₃	—	2	16	no	—
454	C₂²⋊D₄₃	—	2	16	no	—
455	C₂²⋊D₄₃	—	2	16	no	—
456	C₂²⋊D₄₃	—	2	16	no	—
457	C₂²⋊D₄₃	—	4	8	no	—
458	C₂²⋊D₄₃	—	4	8	no	—
459	C₂×Dic₄₃	—	2	8	no	—
460	C₂×Dic₄₃	—	4	4	no	—
461	C₂×Dic₄₃	—	4	4	no	—
462	C₂×Dic₄₃	C₂⁵	1	8	yes	—
463	C₂×Dic₄₃	C₂⁵	1	8	yes	—
464	C₂×Dic₄₃	C₂⁵	1	8	yes	—
465	D₁₇₂	—	2	8	no	—
466	D₁₇₂	—	4	4	no	—
467	D₁₇₂	—	4	8	no	—
468	D₁₇₂	—	4	8	no	—
469	C₄×D₄₃	—	2	16	no	—
470	C₄×D₄₃	—	4	8	no	—
471	C₄×D₄₃	—	4	16	no	—
472	C₄×D₄₃	—	4	16	no	—
473	Dic₈₆	—	2	8	no	—
474	Dic₈₆	—	4	4	no	—
475	Dic₈₆	—	4	8	no	—
476	Dic₈₆	—	4	8	no	—
477	#62819	—	43	1	no	maximal, Sylow
478	C₂²×C₄₃	—	2	8	no	—
479	C₂²×C₄₃	—	2	2	no	—
480	C₂²×C₄₃	—	2	1	no	—
481	C₂²×C₄₃	—	2	1	no	—
482	C₂²×C₄₃	—	2	1	no	—
483	C₂²×C₄₃	—	2	1	no	—
484	C₂²×C₄₃	—	2	2	no	—
485	C₂²×C₄₃	—	2	1	no	—
486	C₂²×C₄₃	—	2	1	no	—
487	C₂²×C₄₃	—	2	2	no	—
488	C₂²×C₄₃	—	2	2	no	—
489	C₂²×C₄₃	—	2	2	no	—
490	C₂²×C₄₃	—	4	4	no	—
491	C₂²×C₄₃	—	4	8	no	—
492	C₂²×C₄₃	—	4	8	no	—
493	C₂²×C₄₃	—	4	4	no	—
494	C₂²×C₄₃	C₂×H(5,𝔽₂)	1	2	yes	—
495	C₂²×C₄₃	C₂×2₋¹⁺⁴	1	4	yes	—
496	C₂²×C₄₃	C₂×2₋¹⁺⁴	1	2	yes	—
497	C₂²×C₄₃	#585	1	2	yes	—
498	C₂²×C₄₃	C₂⁶	1	1	yes	characteristic
499	C₂×D₄₃	—	2	8	no	—
500	C₂×D₄₃	—	2	8	no	—
501	C₂×D₄₃	—	2	8	no	—
502	C₂×D₄₃	—	8	8	no	—
503	C₄×C₄₃	—	2	2	no	—
504	C₄×C₄₃	—	2	8	no	—
505	C₄×C₄₃	—	2	2	no	—
506	C₄×C₄₃	—	2	2	no	—
507	C₄×C₄₃	—	2	8	no	—
508	C₄×C₄₃	C₂×H(5,𝔽₂)	1	4	yes	—
509	Dic₄₃	—	2	8	no	—
510	Dic₄₃	—	2	8	no	—
511	Dic₄₃	—	2	8	no	—
512	#3541	—	43	8	no	—
513	#3538	—	43	4	no	—
514	#3536	—	43	4	no	—
515	#3535	—	43	8	no	—
516	#3520	—	43	8	no	—
517	#3505	—	43	4	no	—
518	#3501	—	43	4	no	—
519	#3495	—	43	4	no	—
520	#3492	—	43	2	no	—
521	#3492	—	43	4	no	—
522	#3490	—	43	4	no	—
523	#3489	—	43	4	no	—
524	#3486	—	43	2	no	—
525	C₂×#525	—	43	2	no	—
526	C₂²×C₂²⋊Q₈	D₄₃	1	1	yes	characteristic, complemented
527	C₂×C₄₃	—	2	4	no	—
528	C₂×C₄₃	—	2	2	no	—
529	C₂×C₄₃	—	2	2	no	—
530	C₂×C₄₃	—	2	2	no	—
531	C₂×C₄₃	—	4	2	no	—
532	C₂×C₄₃	C₂²×H(5,𝔽₂)	1	1	yes	characteristic
533	C₂×C₄₃	C₂²×2₋¹⁺⁴	1	1	yes	characteristic
534	C₂×C₄₃	C₂×#585	1	1	yes	characteristic
535	D₄₃	—	4	8	no	—
536	C₂×2₋¹⁺⁴	—	43	2	no	—
537	C₂²×#41	—	43	2	no	—
538	C₂³×Q₈	C₂×D₄₃	1	1	yes	characteristic, complemented
539	C₂⁴×C₄	C₂×D₄₃	1	1	yes	characteristic
540	#563	—	43	16	no	—
541	#562	—	43	16	no	—
542	#556	—	43	8	no	—
543	#554	—	43	16	no	—
544	#554	—	43	8	no	—
545	#554	—	43	8	no	—
546	#554	—	43	16	no	—
547	#553	—	43	8	no	—
548	#553	—	43	16	no	—
549	#552	—	43	8	no	—
550	#552	—	43	8	no	—
551	#552	—	43	16	no	—
552	#552	—	43	8	no	—
553	#551	—	43	16	no	—
554	#551	—	43	16	no	—
555	#551	—	43	16	no	—
556	D₄×Q₈	—	43	8	no	—
557	D₄×Q₈	—	43	8	no	—
558	D₄×Q₈	—	43	8	no	—
559	#548	—	43	8	no	—
560	#548	—	43	8	no	—
561	#548	—	43	8	no	—
562	#547	—	43	8	no	—
563	#547	—	43	16	no	—
564	#547	—	43	8	no	—
565	#546	—	43	8	no	—
566	#546	—	43	16	no	—
567	#546	—	43	16	no	—
568	#544	—	43	8	no	—
569	#544	—	43	2	no	—
570	#544	—	43	4	no	—
571	#543	—	43	8	no	—
572	#543	—	43	4	no	—
573	#542	—	43	8	no	—
574	#542	—	43	16	no	—
575	#541	—	43	8	no	—
576	#539	—	43	8	no	—
577	#539	—	43	16	no	—
578	#539	—	43	8	no	—
579	#539	—	43	8	no	—
580	#539	—	43	8	no	—
581	#538	—	43	8	no	—
582	#538	—	43	8	no	—
583	#538	—	43	8	no	—
584	#537	—	43	8	no	—
585	#537	—	43	2	no	—
586	#537	—	43	4	no	—
587	#536	—	43	4	no	—
588	#536	—	43	8	no	—
589	#536	—	43	8	no	—
590	#534	—	43	4	no	—
591	#533	—	43	8	no	—
592	#529	—	43	8	no	—
593	#525	—	43	4	no	—
594	#525	—	43	4	no	—
595	#525	—	43	4	no	—
596	#525	—	43	4	no	—
597	#525	—	43	4	no	—
598	#525	—	43	4	no	—
599	#525	—	43	4	no	—
600	#525	—	43	4	no	—
601	#525	—	43	8	no	—
602	#525	—	43	8	no	—
603	#525	—	43	8	no	—
604	C₂×#123	—	43	4	no	—
605	C₂×C₂²⋊Q₈	—	43	2	no	—
606	C₂×C₂²⋊Q₈	—	43	2	no	—
607	C₂×C₂²⋊Q₈	—	43	8	no	—
608	C₂×C₂²⋊Q₈	C₂×D₄₃	1	4	yes	—
609	C₂×C₂²⋊Q₈	C₂×D₄₃	1	4	yes	complemented
610	C₂×C₂²⋊Q₈	C₂×D₄₃	1	4	yes	complemented
611	C₂×C₂²⋊Q₈	C₂×D₄₃	1	4	yes	complemented
612	C₂×C₂²⋊Q₈	C₂×D₄₃	1	4	yes	complemented
613	C₂×C₂²⋊Q₈	C₂×D₄₃	1	4	yes	complemented
614	C₂×#121	—	43	2	no	—
615	C₂×#121	—	43	2	no	—
616	C₂×#120	—	43	4	no	—
617	#520	—	43	4	no	—
618	#520	—	43	8	no	—
619	#519	—	43	2	no	—
620	#518	—	43	8	no	—
621	C₂×C₄×D₄	—	43	4	no	—
622	C₂×C₄×D₄	—	43	4	no	—
623	C₂×#117	—	43	2	no	—
624	C₂²×C₄⋊C₄	C₂×D₄₃	1	1	yes	characteristic, complemented
625	C₂²×C₄⋊C₄	C₂×D₄₃	1	2	yes	complemented
626	C₂²×C₂²⋊C₄	C₂×D₄₃	1	2	yes	—
627	C₄₃	#62819	1	1	yes	characteristic, complemented, Sylow
628	C₂⁵	C₂²×D₄₃	1	1	yes	characteristic
629	2₋¹⁺⁴	—	172	8	no	—
630	C₂×#41	—	43	8	no	—
631	C₂×#41	—	43	4	no	—
632	C₂×#41	—	43	8	no	—
633	C₂×#41	—	43	4	no	—
634	C₂×#41	—	43	4	no	—
635	C₂×#41	—	43	4	no	—
636	C₂×#41	—	43	8	no	—
637	C₂×#41	—	172	8	no	—
638	C₂²×Q₈	—	4	4	no	—
639	C₂²×Q₈	—	43	8	no	—
640	C₂²×Q₈	—	43	2	no	—
641	C₂²×Q₈	C₂²×D₄₃	1	2	yes	—
642	C₂²×Q₈	C₂²×D₄₃	1	4	yes	—
643	C₂²×Q₈	C₂²×D₄₃	1	2	yes	—
644	C₂²×Q₈	C₂²×D₄₃	1	4	yes	—
645	C₂²×D₄	—	43	4	no	—
646	C₂²×D₄	—	43	4	no	—
647	C₂²×D₄	—	43	4	no	—
648	C₂²×D₄	—	43	2	no	—
649	C₂³×C₄	—	4	4	no	—
650	C₂³×C₄	—	43	4	no	—
651	C₂³×C₄	C₂²×D₄₃	1	1	yes	characteristic
652	C₂³×C₄	C₂²×D₄₃	1	2	yes	—
653	C₂³×C₄	C₂²×D₄₃	1	2	yes	—
654	C₂³×C₄	C₂²×D₄₃	1	2	yes	—
655	C₂³×C₄	C₂²×D₄₃	1	1	yes	characteristic
656	C₂³×C₄	C₂²×D₄₃	1	2	yes	—
657	C₂³×C₄	C₂²×D₄₃	1	2	yes	—
658	C₂³×C₄	C₂²×D₄₃	1	2	yes	—
659	C₂³×C₄	C₂²×D₄₃	1	2	yes	—
660	C₂³×C₄	C₂²×D₄₃	1	2	yes	—
661	C₄⋊Q₈	—	43	8	no	—
662	C₄⋊Q₈	—	43	16	no	—
663	C₄⋊Q₈	—	43	8	no	—
664	C₄⋊Q₈	—	43	16	no	—
665	#126	—	43	16	no	—
666	#126	—	43	16	no	—
667	#126	—	43	16	no	—
668	#126	—	43	16	no	—
669	#126	—	43	16	no	—
670	#125	—	43	8	no	—
671	#125	—	43	16	no	—
672	#125	—	43	16	no	—
673	#125	—	43	16	no	—
674	#125	—	43	16	no	—
675	#124	—	43	8	no	—
676	#124	—	43	16	no	—
677	#124	—	43	16	no	—
678	#124	—	43	16	no	—
679	#123	—	43	8	no	—
680	#123	—	43	8	no	—
681	#123	—	43	8	no	—
682	#123	—	43	8	no	—
683	#123	—	43	16	no	—
684	#123	—	43	16	no	—
685	#123	—	43	16	no	—
686	#123	—	43	16	no	—
687	#123	—	43	16	no	—
688	#123	—	43	16	no	—
689	#123	—	43	16	no	—
690	#123	—	43	16	no	—
691	C₂²⋊Q₈	—	43	8	no	—
692	C₂²⋊Q₈	—	43	8	no	—
693	C₂²⋊Q₈	—	43	16	no	—
694	C₂²⋊Q₈	—	43	16	no	—
695	C₂²⋊Q₈	—	43	4	no	—
696	C₂²⋊Q₈	—	43	4	no	—
697	C₂²⋊Q₈	—	43	4	no	—
698	C₂²⋊Q₈	—	43	4	no	—
699	C₂²⋊Q₈	—	43	4	no	—
700	C₂²⋊Q₈	—	43	4	no	—
701	C₂²⋊Q₈	—	43	4	no	—
702	C₂²⋊Q₈	—	43	4	no	—
703	C₂²⋊Q₈	—	43	8	no	—
704	C₂²⋊Q₈	—	43	8	no	—
705	C₂²⋊Q₈	—	43	8	no	—
706	C₂²⋊Q₈	—	43	8	no	—
707	C₂²⋊Q₈	—	43	8	no	—
708	C₂²⋊Q₈	—	43	16	no	—
709	C₂²⋊Q₈	—	43	16	no	—
710	C₂²⋊Q₈	—	43	16	no	—
711	C₂²⋊Q₈	—	43	16	no	—
712	C₂²⋊Q₈	—	43	16	no	—
713	C₂²⋊Q₈	—	43	16	no	—
714	C₂²⋊Q₈	C₂²×D₄₃	1	8	yes	—
715	C₂²⋊Q₈	C₂²×D₄₃	1	8	yes	—
716	C₂²⋊Q₈	C₂²×D₄₃	1	8	yes	—
717	C₂²⋊Q₈	C₂²×D₄₃	1	8	yes	—
718	C₂²⋊Q₈	C₂²×D₄₃	1	8	yes	—
719	C₂²⋊Q₈	C₂²×D₄₃	1	8	yes	—
720	C₂²⋊Q₈	C₂²×D₄₃	1	8	yes	—
721	C₂²⋊Q₈	C₂²×D₄₃	1	8	yes	—
722	#121	—	43	4	no	—
723	#121	—	43	4	no	—
724	#121	—	43	4	no	—
725	#121	—	43	4	no	—
726	#121	—	43	4	no	—
727	#121	—	43	4	no	—
728	#121	—	43	4	no	—
729	#121	—	43	4	no	—
730	#121	—	43	8	no	—
731	#121	—	43	8	no	—
732	#121	—	43	8	no	—
733	#121	—	43	8	no	—
734	#121	—	43	8	no	—
735	#121	—	43	16	no	—
736	#121	—	43	16	no	—
737	#121	—	43	16	no	—
738	#120	—	43	8	no	—
739	#120	—	43	8	no	—
740	#120	—	43	8	no	—
741	#120	—	43	8	no	—
742	#120	—	43	16	no	—
743	C₄×Q₈	—	43	8	no	—
744	C₄×Q₈	—	43	8	no	—
745	C₄×Q₈	—	43	8	no	—
746	C₄×Q₈	—	43	16	no	—
747	C₄×D₄	—	43	8	no	—
748	C₄×D₄	—	43	8	no	—
749	C₄×D₄	—	43	8	no	—
750	C₄×D₄	—	43	8	no	—
751	C₄×D₄	—	43	8	no	—
752	C₄×D₄	—	43	8	no	—
753	C₄×D₄	—	43	8	no	—
754	C₄×D₄	—	43	8	no	—
755	C₄×D₄	—	43	16	no	—
756	C₄×D₄	—	43	16	no	—
757	C₄×D₄	—	43	16	no	—
758	C₄×D₄	—	43	16	no	—
759	C₄×D₄	—	43	16	no	—
760	C₄×D₄	—	43	8	no	—
761	C₄×D₄	—	43	16	no	—
762	C₄×D₄	—	43	16	no	—
763	#117	—	43	4	no	—
764	#117	—	43	4	no	—
765	#117	—	43	4	no	—
766	#117	—	43	4	no	—
767	#117	—	43	8	no	—
768	#117	—	43	8	no	—
769	#117	—	43	8	no	—
770	#117	—	43	16	no	—
771	#117	—	43	16	no	—
772	C₂×C₄⋊C₄	—	43	2	no	—
773	C₂×C₄⋊C₄	—	43	2	no	—
774	C₂×C₄⋊C₄	—	43	4	no	—
775	C₂×C₄⋊C₄	—	43	4	no	—
776	C₂×C₄⋊C₄	—	43	8	no	—
777	C₂×C₄⋊C₄	—	43	16	no	—
778	C₂×C₄⋊C₄	C₂²×D₄₃	1	2	yes	—
779	C₂×C₄⋊C₄	C₂²×D₄₃	1	4	yes	—
780	C₂×C₄⋊C₄	C₂²×D₄₃	1	4	yes	—
781	C₂×C₄⋊C₄	C₂²×D₄₃	1	8	yes	—
782	C₂×C₄⋊C₄	C₂²×D₄₃	1	4	yes	—
783	C₂×C₄⋊C₄	C₂²×D₄₃	1	2	yes	—
784	C₂×C₄⋊C₄	C₂²×D₄₃	1	4	yes	—
785	C₂×C₄⋊C₄	C₂²×D₄₃	1	8	yes	—
786	C₂×C₂²⋊C₄	—	43	4	no	—
787	C₂×C₂²⋊C₄	—	43	4	no	—
788	C₂×C₂²⋊C₄	—	43	4	no	—
789	C₂×C₂²⋊C₄	—	43	4	no	—
790	C₂×C₂²⋊C₄	—	43	4	no	—
791	C₂×C₂²⋊C₄	—	43	16	no	—
792	C₂×C₂²⋊C₄	C₂²×D₄₃	1	4	yes	—
793	C₂×C₂²⋊C₄	C₂²×D₄₃	1	4	yes	—
794	C₂×C₂²⋊C₄	C₂²×D₄₃	1	8	yes	—
795	C₂×C₂²⋊C₄	C₂²×D₄₃	1	8	yes	—
796	C₂×C₄²	—	43	4	no	—
797	C₂⁴	—	2	4	no	—
798	C₂⁴	—	4	2	no	—
799	C₂⁴	—	4	2	no	—
800	C₂⁴	—	43	4	no	—
801	C₂⁴	C₂³×D₄₃	1	1	yes	characteristic
802	C₂⁴	C₂³×D₄₃	1	2	yes	—
803	C₂⁴	C₂³×D₄₃	1	2	yes	—
804	C₂⁴	C₂³×D₄₃	1	1	yes	characteristic
805	C₂⁴	C₂³×D₄₃	1	1	yes	characteristic
806	#41	—	86	16	no	—
807	#41	—	172	8	no	—
808	#41	—	172	8	no	—
809	#41	—	172	16	no	—
810	#41	—	172	16	no	—
811	#41	—	172	8	no	—
812	#41	—	172	16	no	—
813	C₂×Q₈	—	2	8	no	—
814	C₂×Q₈	—	4	4	no	—
815	C₂×Q₈	—	4	8	no	—
816	C₂×Q₈	—	4	8	no	—
817	C₂×Q₈	—	43	4	no	—
818	C₂×Q₈	—	43	8	no	—
819	C₂×Q₈	—	43	4	no	—
820	C₂×Q₈	—	43	8	no	—
821	C₂×Q₈	—	172	4	no	—
822	C₂×Q₈	—	172	16	no	—
823	C₂×Q₈	C₂³×D₄₃	1	8	yes	—
824	C₂×Q₈	C₂³×D₄₃	1	8	yes	—
825	C₂×D₄	—	43	8	no	—
826	C₂×D₄	—	43	8	no	—
827	C₂×D₄	—	43	8	no	—
828	C₂×D₄	—	43	8	no	—
829	C₂×D₄	—	43	8	no	—
830	C₂×D₄	—	43	8	no	—
831	C₂×D₄	—	43	4	no	—
832	C₂×D₄	—	43	8	no	—
833	C₂×D₄	—	43	8	no	—
834	C₂×D₄	—	43	4	no	—
835	C₂×D₄	—	86	16	no	—
836	C₂×D₄	—	172	4	no	—
837	C₂×D₄	—	172	8	no	—
838	C₂×D₄	—	172	8	no	—
839	C₂²×C₄	—	2	4	no	—
840	C₂²×C₄	—	2	8	no	—
841	C₂²×C₄	—	4	4	no	—
842	C₂²×C₄	—	4	4	no	—
843	C₂²×C₄	—	4	4	no	—
844	C₂²×C₄	—	4	4	no	—
845	C₂²×C₄	—	4	4	no	—
846	C₂²×C₄	—	4	2	no	—
847	C₂²×C₄	—	4	4	no	—
848	C₂²×C₄	—	4	4	no	—
849	C₂²×C₄	—	43	4	no	—
850	C₂²×C₄	—	43	4	no	—
851	C₂²×C₄	—	43	4	no	—
852	C₂²×C₄	—	43	8	no	—
853	C₂²×C₄	—	43	16	no	—
854	C₂²×C₄	—	43	16	no	—
855	C₂²×C₄	—	43	8	no	—
856	C₂²×C₄	—	172	8	no	—
857	C₂²×C₄	C₂³×D₄₃	1	2	yes	—
858	C₂²×C₄	C₂³×D₄₃	1	4	yes	—
859	C₂²×C₄	C₂³×D₄₃	1	4	yes	—
860	C₂²×C₄	C₂³×D₄₃	1	2	yes	—
861	C₂²×C₄	C₂³×D₄₃	1	2	yes	—
862	C₂²×C₄	C₂³×D₄₃	1	2	yes	—
863	C₂²×C₄	C₂³×D₄₃	1	2	yes	—
864	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
865	C₂²×C₄	C₂³×D₄₃	1	2	yes	—
866	C₂²×C₄	C₂³×D₄₃	1	2	yes	—
867	C₂²×C₄	C₂³×D₄₃	1	2	yes	—
868	C₂²×C₄	C₂³×D₄₃	1	2	yes	—
869	C₂²×C₄	C₂³×D₄₃	1	4	yes	—
870	C₂²×C₄	C₂³×D₄₃	1	4	yes	—
871	C₂²×C₄	C₂³×D₄₃	1	4	yes	—
872	C₂²×C₄	C₂³×D₄₃	1	4	yes	—
873	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
874	C₂²×C₄	C₂³×D₄₃	1	2	yes	—
875	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
876	C₂²×C₄	C₂³×D₄₃	1	2	yes	—
877	C₂²×C₄	C₂³×D₄₃	1	2	yes	—
878	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
879	C₄⋊C₄	—	43	4	no	—
880	C₄⋊C₄	—	43	8	no	—
881	C₄⋊C₄	—	43	8	no	—
882	C₄⋊C₄	—	43	4	no	—
883	C₄⋊C₄	—	43	4	no	—
884	C₄⋊C₄	—	43	4	no	—
885	C₄⋊C₄	—	43	8	no	—
886	C₄⋊C₄	—	43	8	no	—
887	C₄⋊C₄	—	43	8	no	—
888	C₄⋊C₄	—	43	16	no	—
889	C₄⋊C₄	—	43	16	no	—
890	C₄⋊C₄	—	43	8	no	—
891	C₄⋊C₄	—	43	16	no	—
892	C₄⋊C₄	—	43	16	no	—
893	C₄⋊C₄	—	43	8	no	—
894	C₄⋊C₄	—	43	8	no	—
895	C₄⋊C₄	C₂³×D₄₃	1	8	yes	—
896	C₄⋊C₄	C₂³×D₄₃	1	16	yes	—
897	C₄⋊C₄	C₂³×D₄₃	1	16	yes	—
898	C₄⋊C₄	C₂³×D₄₃	1	8	yes	—
899	C₂²⋊C₄	—	43	8	no	—
900	C₂²⋊C₄	—	43	8	no	—
901	C₂²⋊C₄	—	43	8	no	—
902	C₂²⋊C₄	—	43	8	no	—
903	C₂²⋊C₄	—	43	8	no	—
904	C₂²⋊C₄	—	43	8	no	—
905	C₂²⋊C₄	—	43	8	no	—
906	C₂²⋊C₄	—	43	8	no	—
907	C₂²⋊C₄	—	43	16	no	—
908	C₂²⋊C₄	—	43	16	no	—
909	C₂²⋊C₄	—	43	8	no	—
910	C₂²⋊C₄	—	43	8	no	—
911	C₂²⋊C₄	—	43	16	no	—
912	C₂²⋊C₄	—	43	16	no	—
913	C₂²⋊C₄	C₂³×D₄₃	1	16	yes	—
914	C₂²⋊C₄	C₂³×D₄₃	1	16	yes	—
915	C₄²	—	43	8	no	—
916	C₄²	—	43	8	no	—
917	C₄²	—	43	16	no	—
918	C₄²	—	43	16	no	—
919	C₂³	—	2	2	no	—
920	C₂³	—	2	2	no	—
921	C₂³	—	2	2	no	—
922	C₂³	—	2	4	no	—
923	C₂³	—	2	4	no	—
924	C₂³	—	2	4	no	—
925	C₂³	—	2	2	no	—
926	C₂³	—	2	4	no	—
927	C₂³	—	4	1	no	—
928	C₂³	—	4	2	no	—
929	C₂³	—	4	1	no	—
930	C₂³	—	4	1	no	—
931	C₂³	—	4	2	no	—
932	C₂³	—	4	1	no	—
933	C₂³	—	4	16	no	—
934	C₂³	—	43	8	no	—
935	C₂³	—	86	8	no	—
936	C₂³	—	172	4	no	—
937	C₂³	—	172	4	no	—
938	C₂³	#13063373	1	4	yes	complemented
939	C₂³	C₂⁴×D₄₃	1	2	yes	—
940	C₂³	C₂⁴×D₄₃	1	1	yes	characteristic
941	C₂³	C₂⁴×D₄₃	1	1	yes	characteristic
942	C₂³	C₂⁴×D₄₃	1	2	yes	—
943	C₂³	C₂⁴×D₄₃	1	1	yes	characteristic
944	Q₈	—	2	16	no	—
945	Q₈	—	4	8	no	—
946	Q₈	—	86	8	no	—
947	Q₈	—	172	8	no	—
948	Q₈	—	172	4	no	—
949	Q₈	—	172	8	no	—
950	D₄	—	86	16	no	—
951	D₄	—	86	16	no	—
952	D₄	—	86	16	no	—
953	D₄	—	86	16	no	—
954	D₄	—	86	8	no	—
955	D₄	—	172	4	no	—
956	D₄	—	172	8	no	—
957	D₄	—	172	8	no	—
958	D₄	—	172	8	no	—
959	D₄	—	172	8	no	—
960	C₂×C₄	—	2	2	no	—
961	C₂×C₄	—	2	4	no	—
962	C₂×C₄	—	2	8	no	—
963	C₂×C₄	—	2	8	no	—
964	C₂×C₄	—	2	4	no	—
965	C₂×C₄	—	2	4	no	—
966	C₂×C₄	—	2	4	no	—
967	C₂×C₄	—	2	4	no	—
968	C₂×C₄	—	2	4	no	—
969	C₂×C₄	—	2	4	no	—
970	C₂×C₄	—	4	1	no	—
971	C₂×C₄	—	4	2	no	—
972	C₂×C₄	—	4	2	no	—
973	C₂×C₄	—	4	2	no	—
974	C₂×C₄	—	4	1	no	—
975	C₂×C₄	—	4	2	no	—
976	C₂×C₄	—	4	2	no	—
977	C₂×C₄	—	4	4	no	—
978	C₂×C₄	—	4	4	no	—
979	C₂×C₄	—	4	4	no	—
980	C₂×C₄	—	4	4	no	—
981	C₂×C₄	—	43	8	no	—
982	C₂×C₄	—	43	8	no	—
983	C₂×C₄	—	43	8	no	—
984	C₂×C₄	—	86	8	no	—
985	C₂×C₄	—	86	16	no	—
986	C₂×C₄	—	172	8	no	—
987	C₂×C₄	—	172	16	no	—
988	C₂×C₄	—	172	16	no	—
989	C₂×C₄	—	172	4	no	—
990	C₂×C₄	—	172	4	no	—
991	C₂×C₄	#13063370	1	4	yes	—
992	C₂×C₄	C₂⁴×D₄₃	1	2	yes	—
993	C₂×C₄	C₂⁴×D₄₃	1	8	yes	—
994	C₂×C₄	C₂⁴×D₄₃	1	8	yes	—
995	C₂×C₄	C₂⁴×D₄₃	1	2	yes	—
996	C₂×C₄	C₂⁴×D₄₃	1	2	yes	—
997	C₂×C₄	C₂⁴×D₄₃	1	2	yes	—
998	C₂²	—	2	8	no	—
999	C₂²	—	2	1	no	—
1000	C₂²	—	2	1	no	—
1001	C₂²	—	2	2	no	—
1002	C₂²	—	2	1	no	—
1003	C₂²	—	2	1	no	—
1004	C₂²	—	2	1	no	—
1005	C₂²	—	2	1	no	—
1006	C₂²	—	2	2	no	—
1007	C₂²	—	2	2	no	—
1008	C₂²	—	2	2	no	—
1009	C₂²	—	2	2	no	—
1010	C₂²	—	4	4	no	—
1011	C₂²	—	4	8	no	—
1012	C₂²	—	4	8	no	—
1013	C₂²	—	4	4	no	—
1014	C₂²	—	86	8	no	—
1015	C₂²	—	86	8	no	—
1016	C₂²	—	86	8	no	—
1017	C₂²	—	344	8	no	—
1018	C₂²	C₂×#13063370	1	2	yes	—
1019	C₂²	C₂×#13063373	1	4	yes	—
1020	C₂²	C₂×#13063373	1	2	yes	—
1021	C₂²	#14583735	1	2	yes	—
1022	C₂²	C₂⁵×D₄₃	1	1	yes	characteristic
1023	C₄	—	2	2	no	—
1024	C₄	—	2	2	no	—
1025	C₄	—	2	2	no	—
1026	C₄	—	2	8	no	—
1027	C₄	—	2	8	no	—
1028	C₄	—	86	8	no	—
1029	C₄	—	86	8	no	—
1030	C₄	—	86	8	no	—
1031	C₄	C₂×#13063370	1	4	yes	—
1032	C₂	—	2	2	no	—
1033	C₂	—	2	2	no	—
1034	C₂	—	2	2	no	—
1035	C₂	—	2	4	no	—
1036	C₂	—	4	2	no	—
1037	C₂	—	172	8	no	—
1038	C₂	C₂²×#13063370	1	1	yes	characteristic
1039	C₂	C₂²×#13063373	1	1	yes	characteristic
1040	C₂	C₂×#14583735	1	1	yes	characteristic

	subgroup	G/H
center, Frattini	C₂²	C₂⁵×D₄₃
commutator, socle, cosocle	C₂²×C₄₃	C₂⁶
Fitting	C₂²×C₂²⋊Q₈×C₄₃	C₂
hypercenter	C₂²×C₂²⋊Q₈	D₄₃
hypocenter	C₄₃	#62819
LCS	G ▷ C₂²×C₄₃ ▷ C₄₃
UCS	C₁ ◁ C₂² ◁ C₂²×C₂²⋊Q₈

Complements

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

N	H ≅ G/N	type
1. #19148892	C₂	semidirect
2. #19148840	C₂	semidirect
3. #19148824	C₂	semidirect
4. #19148804	C₂	semidirect
5. #19148638	C₂	semidirect
6. #19148436	C₂	semidirect
7. #19148391	C₂	semidirect
8. #19148341	C₂	semidirect
9. #19148304	C₂	semidirect
10. #19148304	C₂	semidirect
11. #19148284	C₂	semidirect
12. #19148271	C₂	semidirect
13. #19148246	C₂	semidirect
14. C₂×#14583410	C₂	semidirect
15. C₂²×C₂²⋊Q₈×C₄₃	C₂	semidirect
16. C₂×#13063373	C₂²	semidirect
17. C₂²×#10621898	C₂²	semidirect
18. #14583650	C₂²	semidirect
19. #14583645	C₂²	semidirect
20. #14583620	C₂²	semidirect
21. #14583607	C₂²	semidirect
22. #14583604	C₂²	semidirect
23. #14583604	C₂²	semidirect
24. #14583603	C₂²	semidirect
25. #14583597	C₂²	semidirect
26. #14583597	C₂²	semidirect
27. #14583591	C₂²	semidirect
28. #14583584	C₂²	semidirect
29. #14583584	C₂²	semidirect
30. #14583583	C₂²	semidirect
31. #14583576	C₂²	semidirect
32. #14583575	C₂²	semidirect
33. #14583575	C₂²	semidirect
34. Q₈×C₂²⋊D₄₃	C₂²	semidirect
35. Q₈×C₂²⋊D₄₃	C₂²	semidirect
36. #14583562	C₂²	semidirect
37. #14583560	C₂²	semidirect
38. #14583560	C₂²	semidirect
39. #14583559	C₂²	semidirect
40. #14583551	C₂²	semidirect
41. #14583550	C₂²	semidirect
42. #14583550	C₂²	semidirect
43. #14583540	C₂²	semidirect
44. #14583539	C₂²	semidirect
45. #14583539	C₂²	semidirect
46. #14583530	C₂²	semidirect
47. #14583530	C₂²	semidirect
48. #14583528	C₂²	semidirect
50. #14583524	C₂²	semidirect
51. #14583522	C₂²	semidirect
52. #14583519	C₂²	semidirect
53. #14583509	C₂²	semidirect
54. #14583498	C₂²	semidirect
55. #14583496	C₂²	semidirect
56. #14583496	C₂²	semidirect
57. #14583496	C₂²	semidirect
58. #14583495	C₂²	semidirect
59. #14583489	C₂²	semidirect
60. #14583487	C₂²	semidirect
61. #14583487	C₂²	semidirect
62. #14583480	C₂²	semidirect
63. #14583480	C₂²	semidirect
64. #14583479	C₂²	semidirect
65. #14583473	C₂²	semidirect
66. #14583473	C₂²	semidirect
67. #14583472	C₂²	semidirect
69. #14583451	C₂²	semidirect
70. #14583435	C₂²	semidirect
71. #14583412	C₂²	semidirect
76. #14583410	C₂²	semidirect
77. #14583410	C₂²	semidirect
78. #14583410	C₂²	semidirect
79. #14583410	C₂²	semidirect
80. #14583410	C₂²	semidirect
81. #14583410	C₂²	semidirect
82. C₂×#13063308	C₂²	semidirect
84. C₂×#13063304	C₂²	semidirect
85. C₂²⋊Q₈×D₄₃	C₂²	semidirect
87. C₂×#13063299	C₂²	semidirect
89. #14583380	C₂²	semidirect
90. #14583380	C₂²	semidirect
91. #14583377	C₂²	semidirect
94. C₂×C₄×C₂²⋊D₄₃	C₂²	semidirect
95. C₂×#13063284	C₂²	semidirect
96. C₂³×Q₈×C₄₃	C₂²	semidirect
99. C₂×C₂²⋊Q₈×C₄₃	C₂²	semidirect
100. C₂×C₂²⋊Q₈×C₄₃	C₂²	semidirect
101. C₂×C₂²⋊Q₈×C₄₃	C₂²	semidirect
102. C₂×C₂²⋊Q₈×C₄₃	C₂²	semidirect
103. C₂×C₂²⋊Q₈×C₄₃	C₂²	semidirect
104. C₂²×C₄⋊C₄×C₄₃	C₂²	semidirect
105. C₂²×C₄⋊C₄×C₄₃	C₂²	semidirect
108. C₂×#10621902	C₂³	semidirect
117. C₂×Q₈×D₄₃	C₂³	semidirect
123. #13063324	C₂³	semidirect
124. #13063324	C₂³	semidirect
125. #13063323	C₂³	semidirect
126. #13063323	C₂³	semidirect
127. #13063320	C₂³	semidirect
128. #13063320	C₂³	semidirect
129. #13063320	C₂³	semidirect
132. #13063316	C₂³	semidirect
133. #13063316	C₂³	semidirect
134. #13063315	C₂³	semidirect
135. #13063315	C₂³	semidirect
136. #13063315	C₂³	semidirect
137. #13063314	C₂³	semidirect
138. #13063314	C₂³	semidirect
141. #13063310	C₂³	semidirect
142. #13063310	C₂³	semidirect
143. #13063310	C₂³	semidirect
153. #13063305	C₂³	semidirect
154. #13063305	C₂³	semidirect
167. #13063303	C₂³	semidirect
168. #13063303	C₂³	semidirect
169. #13063303	C₂³	semidirect
172. #13063301	C₂³	semidirect
173. #13063301	C₂³	semidirect
174. #13063301	C₂³	semidirect
175. #13063301	C₂³	semidirect
176. #13063300	C₂³	semidirect
177. #13063300	C₂³	semidirect
197. Q₈×Dic₄₃	C₂³	semidirect
198. Q₈×Dic₄₃	C₂³	semidirect
199. #13063290	C₂³	semidirect
200. #13063290	C₂³	semidirect
201. #13063287	C₂³	semidirect
202. #13063287	C₂³	semidirect
223. #13063283	C₂³	semidirect
224. #13063283	C₂³	semidirect
230. C₄⋊C₄×D₄₃	C₂³	semidirect
231. C₄⋊C₄×D₄₃	C₂³	semidirect
413. C₂³×C₄₃	2₋¹⁺⁴	semidirect
526. C₂²×C₂²⋊Q₈	D₄₃	semidirect
538. C₂³×Q₈	C₂×D₄₃	semidirect
609. C₂×C₂²⋊Q₈	C₂×D₄₃	semidirect
610. C₂×C₂²⋊Q₈	C₂×D₄₃	semidirect
611. C₂×C₂²⋊Q₈	C₂×D₄₃	semidirect
612. C₂×C₂²⋊Q₈	C₂×D₄₃	semidirect
613. C₂×C₂²⋊Q₈	C₂×D₄₃	semidirect
624. C₂²×C₄⋊C₄	C₂×D₄₃	semidirect
625. C₂²×C₄⋊C₄	C₂×D₄₃	semidirect
627. C₄₃	#62819	semidirect
938. C₂³	#13063373	semidirect

Maximal subgroups

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

subgroup	index
#19148892	2
#19148840	2
#19148824	2
#19148804	2
#19148638	2
#19148436	2
#19148391	2
#19148341	2
#19148304	2
#19148284	2
#19148271	2
#19148246	2
C₂×#14583410	2
C₂²×C₂²⋊Q₈×C₄₃	2
#62819	43