Subgroups — #26005188

Order 11008.

7210 conjugacy classes of subgroups.

The subgroup lattice has 912 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#19148519	C₂	1	4	yes	maximal, complemented
2	#19148508	C₂	1	4	yes	maximal, complemented
3	#19148493	C₂	1	4	yes	maximal, complemented
4	#19148482	C₂	1	2	yes	maximal, complemented
5	#19148472	C₂	1	2	yes	maximal, complemented
6	#19148462	C₂	1	4	yes	maximal, complemented
7	#19148449	C₂	1	4	yes	maximal, complemented
8	#19148436	C₂	1	8	yes	maximal, complemented
9	#19148190	C₂	1	8	yes	maximal, complemented
10	#19148162	C₂	1	8	yes	maximal, complemented
11	#19147987	C₂	1	4	yes	maximal, complemented
12	#19147928	C₂	1	2	yes	maximal, complemented
13	#19147892	C₂	1	4	yes	maximal, complemented
14	C₂×#14583449	C₂	1	1	yes	maximal, characteristic, complemented
15	#19147796	C₂	1	2	yes	maximal, complemented
16	C₂×C₄×#10621898	C₂	1	1	yes	maximal, characteristic, complemented
17	C₂×C₄₃×#533	C₂	1	1	yes	maximal, characteristic, complemented
18	C₂²×#10621898	C₂²	1	2	yes	—
19	C₂²×#10621898	C₂²	1	1	yes	characteristic
20	#14583634	C₂²	1	16	yes	complemented
21	#14583634	C₂²	1	8	yes	complemented
22	#14583628	C₂²	1	8	yes	complemented
23	#14583623	C₂²	1	8	yes	complemented
24	#14583622	C₂²	1	8	yes	complemented
25	#14583622	C₂²	1	16	yes	complemented
26	#14583615	C₂²	1	8	yes	complemented
27	#14583610	C₂²	1	8	yes	complemented
28	#14583602	C₂²	1	16	yes	complemented
29	#14583597	C₂²	1	16	yes	complemented
30	#14583597	C₂²	1	32	yes	complemented
31	#14583591	C₂²	1	16	yes	complemented
32	#14583587	C₂²	1	16	yes	complemented
33	#14583576	C₂²	1	32	yes	complemented
34	#14583571	C₂²	1	8	yes	complemented
35	#14583560	C₂²	1	16	yes	complemented
36	#14583552	C₂²	1	8	yes	complemented
37	#14583540	C₂²	1	16	yes	complemented
38	#14583523	C₂²	1	16	yes	complemented
39	#14583512	C₂²	1	8	yes	complemented
40	#14583505	C₂²	1	8	yes	complemented
41	#14583498	C₂²	1	16	yes	complemented
42	#14583489	C₂²	1	16	yes	complemented
43	#14583480	C₂²	1	8	yes	complemented
44	#14583475	C₂²	1	4	yes	—
45	#14583475	C₂²	1	4	yes	complemented
46	#14583468	C₂²	1	4	yes	—
47	#14583468	C₂²	1	4	yes	complemented
48	#14583461	C₂²	1	8	yes	—
49	#14583454	C₂²	1	8	yes	complemented
50	#14583450	C₂²	1	8	yes	complemented
51	#14583449	C₂²	1	2	yes	—
52	#14583449	C₂²	1	4	yes	—
53	#14583449	C₂²	1	2	yes	—
54	#14583449	C₂²	1	4	yes	complemented
55	#14583449	C₂²	1	2	yes	complemented
56	#14583449	C₂²	1	2	yes	complemented
57	#14583449	C₂²	1	8	yes	complemented
58	C₂×#13063325	C₂²	1	1	yes	characteristic, complemented
59	C₂×#13063322	C₂²	1	1	yes	characteristic, complemented
60	#14583436	C₂²	1	16	yes	complemented
61	#14583436	C₂²	1	32	yes	complemented
62	#14583435	C₂²	1	16	yes	complemented
63	#14583434	C₂²	1	16	yes	complemented
64	C₂×#13063313	C₂²	1	2	yes	complemented
65	#14583412	C₂²	1	16	yes	complemented
66	#14583411	C₂²	1	8	yes	—
67	#14583411	C₂²	1	8	yes	complemented
68	C₂×#13063299	C₂²	1	4	yes	—
69	#14583380	C₂²	1	8	yes	complemented
70	#14583379	C₂²	1	8	yes	complemented
71	#14583376	C₂²	1	4	yes	complemented
72	#14583373	C₂²	1	4	yes	complemented
73	#14583372	C₂²	1	8	yes	—
74	C₄×#10621902	C₂²	1	16	yes	complemented
75	C₄×#10621898	C₂²	1	4	yes	—
76	C₄×#10621898	C₂²	1	2	yes	—
77	C₄×#10621898	C₂²	1	2	yes	—
78	C₄×#10621898	C₂²	1	8	yes	complemented
79	C₄×#10621898	C₂²	1	4	yes	complemented
80	C₄×#10621898	C₂²	1	2	yes	complemented
81	C₄×#10621898	C₂²	1	2	yes	complemented
82	#14583367	C₂²	1	8	yes	complemented
83	C₂×C₄×Dic₈₆	C₂²	1	2	yes	complemented
84	C₂×C₄×D₁₇₂	C₂²	1	4	yes	complemented
85	C₂×C₄×D₁₇₂	C₂²	1	2	yes	complemented
86	C₂×C₄×C₂²⋊D₄₃	C₂²	1	4	yes	—
87	C₂×#13063284	C₂²	1	1	yes	characteristic
88	C₂×#13063282	C₂²	1	2	yes	complemented
89	#117×D₄₃	C₂²	1	8	yes	complemented
90	C₂×C₄²×D₄₃	C₂²	1	2	yes	complemented
91	C₄₃×#533	C₂²	1	2	yes	complemented
92	C₄₃×#533	C₂²	1	4	yes	complemented
93	C₄₃×#533	C₂²	1	4	yes	complemented
94	C₄₃×#533	C₂²	1	2	yes	complemented
95	C₄₃×#533	C₂²	1	2	yes	complemented
96	C₄₃×#533	C₂²	1	2	yes	complemented
97	C₂×C₄⋊Q₈×C₄₃	C₂²	1	2	yes	complemented
98	C₂×#125×C₄₃	C₂²	1	2	yes	complemented
99	C₂×C₂²⋊Q₈×C₄₃	C₂²	1	4	yes	—
100	C₂×C₄×Q₈×C₄₃	C₂²	1	4	yes	complemented
101	C₂×#117×C₄₃	C₂²	1	2	yes	—
102	C₂²×C₄²×C₄₃	C₂²	1	1	yes	characteristic
103	C₂×#10621902	C₂³	1	16	yes	—
104	C₂×#10621898	—	2	16	no	—
105	C₂×#10621898	—	2	8	no	—
106	C₂×#10621898	C₂³	1	4	yes	—
107	C₂×#10621898	C₂³	1	2	yes	—
108	C₂×#10621898	C₂³	1	2	yes	—
109	C₂×#10621898	C₂³	1	4	yes	—
110	C₂×#10621898	C₂³	1	2	yes	—
111	C₂×#10621898	C₂³	1	2	yes	—
112	C₂×#10621898	C₂³	1	4	yes	—
113	C₂×#10621898	C₂³	1	4	yes	—
114	C₂²×Dic₈₆	C₂³	1	1	yes	characteristic
115	C₂²×Dic₈₆	C₂³	1	2	yes	—
116	C₂²×D₁₇₂	C₂³	1	1	yes	characteristic
117	C₂²×D₁₇₂	C₂³	1	2	yes	—
118	C₂²×D₁₇₂	C₂³	1	4	yes	—
119	C₂²×C₂²⋊D₄₃	C₂³	1	2	yes	—
120	C₂²×C₂²⋊D₄₃	C₂³	1	4	yes	—
121	C₂²×C₄×D₄₃	C₂³	1	2	yes	—
122	C₂²×C₄×D₄₃	C₂³	1	4	yes	—
123	C₂²×C₄×D₄₃	C₂³	1	4	yes	—
124	#13063325	C₂³	1	4	yes	—
125	#13063325	C₂³	1	8	yes	—
126	#13063325	C₂³	1	2	yes	—
127	#13063325	C₂³	1	2	yes	—
128	#13063322	C₂³	1	4	yes	—
129	#13063322	C₂³	1	8	yes	—
130	#13063322	C₂³	1	2	yes	—
131	#13063322	C₂³	1	2	yes	—
132	#13063320	C₂³	1	32	yes	—
133	#13063320	C₂³	1	32	yes	—
134	#13063320	C₂³	1	32	yes	—
135	#13063316	C₂³	1	32	yes	—
136	#13063316	C₂³	1	16	yes	—
137	#13063314	C₂³	1	32	yes	—
138	#13063314	C₂³	1	16	yes	—
139	#13063313	C₂³	1	8	yes	—
140	#13063313	C₂³	1	8	yes	—
141	#13063313	C₂³	1	8	yes	—
142	#13063313	C₂³	1	4	yes	—
143	#13063313	C₂³	1	4	yes	—
144	#13063310	C₂³	1	32	yes	—
145	#13063310	C₂³	1	32	yes	—
146	#13063310	C₂³	1	32	yes	—
147	#13063309	C₂³	1	16	yes	—
148	#13063309	C₂³	1	16	yes	—
149	#13063305	C₂³	1	16	yes	—
150	#13063305	C₂³	1	16	yes	—
151	#13063301	C₂³	1	16	yes	—
152	#13063301	C₂³	1	32	yes	—
153	#13063300	C₂³	1	16	yes	—
154	#13063300	C₂³	1	32	yes	—
155	#13063300	C₂³	1	16	yes	—
156	#13063300	C₂³	1	16	yes	—
157	#13063299	C₂³	1	8	yes	—
158	#13063299	C₂³	1	32	yes	—
159	#13063299	C₂³	1	8	yes	—
160	#13063299	C₂³	1	8	yes	—
161	#13063299	C₂³	1	8	yes	—
162	#13063295	C₂³	1	16	yes	—
163	#13063295	C₂³	1	16	yes	—
164	Q₈×Dic₄₃	C₂³	1	16	yes	—
165	C₄×Dic₈₆	C₂³	1	4	yes	—
166	C₄×Dic₈₆	C₂³	1	4	yes	—
167	C₄×Dic₈₆	C₂³	1	4	yes	—
168	C₄×Dic₈₆	C₂³	1	4	yes	—
169	C₄×Dic₈₆	C₂³	1	16	yes	—
170	#13063290	C₂³	1	16	yes	—
171	C₄×D₁₇₂	C₂³	1	4	yes	—
172	C₄×D₁₇₂	C₂³	1	8	yes	—
173	C₄×D₁₇₂	C₂³	1	4	yes	—
174	C₄×D₁₇₂	C₂³	1	16	yes	—
175	C₄×D₁₇₂	C₂³	1	8	yes	—
176	C₄×D₁₇₂	C₂³	1	4	yes	—
177	C₄×D₁₇₂	C₂³	1	4	yes	—
178	C₄×D₁₇₂	C₂³	1	8	yes	—
179	C₄×D₁₇₂	C₂³	1	8	yes	—
180	C₄×D₁₇₂	C₂³	1	32	yes	—
181	#13063287	C₂³	1	32	yes	—
182	#13063287	C₂³	1	16	yes	—
183	#13063287	C₂³	1	16	yes	—
184	C₄×C₂²⋊D₄₃	C₂³	1	8	yes	—
185	C₄×C₂²⋊D₄₃	C₂³	1	32	yes	—
186	C₄×C₂²⋊D₄₃	C₂³	1	8	yes	—
187	C₄×C₂²⋊D₄₃	C₂³	1	8	yes	—
188	C₄×C₂²⋊D₄₃	C₂³	1	8	yes	—
189	(C₂²⋊D₄₃)⋊C₄	C₂³	1	32	yes	—
190	#13063284	C₂³	1	2	yes	—
191	#13063284	C₂³	1	2	yes	—
192	#13063284	C₂³	1	2	yes	—
193	#13063284	C₂³	1	2	yes	—
194	#13063283	C₂³	1	32	yes	—
195	#13063283	C₂³	1	16	yes	—
196	#13063283	C₂³	1	16	yes	—
197	#13063282	C₂³	1	16	yes	—
198	#13063282	C₂³	1	8	yes	—
199	#13063282	C₂³	1	4	yes	—
200	#13063282	C₂³	1	4	yes	—
201	#13063281	C₂³	1	16	yes	—
202	C₂×C₄⋊Dic₄₃	C₂³	1	4	yes	—
203	C₂×C₄⋊Dic₄₃	C₂³	1	2	yes	—
204	C₂×Dic₄₃⋊C₄	C₂³	1	4	yes	—
205	C₄⋊C₄×D₄₃	C₂³	1	16	yes	—
206	C₂×C₂²⋊Dic₄₃	C₂³	1	2	yes	—
207	C₂×(C₂×D₄₃)⋊C₄	C₂³	1	8	yes	—
208	C₂×(C₂×D₄₃)⋊C₄	C₂³	1	4	yes	—
209	C₂²⋊C₄×D₄₃	C₂³	1	16	yes	—
210	C₂×C₄×Dic₄₃	C₂³	1	2	yes	—
211	C₂×C₄×Dic₄₃	C₂³	1	4	yes	—
212	C₄²×D₄₃	C₂³	1	8	yes	—
213	C₄²×D₄₃	C₂³	1	4	yes	—
214	C₄²×D₄₃	C₂³	1	4	yes	—
215	C₄²×D₄₃	C₂³	1	16	yes	—
216	C₂²×Q₈×C₄₃	C₂³	1	4	yes	—
217	C₂³×C₄×C₄₃	C₂³	1	2	yes	—
218	C₂³×C₄×C₄₃	C₂³	1	1	yes	characteristic
219	C₄⋊Q₈×C₄₃	C₂³	1	4	yes	—
220	C₄⋊Q₈×C₄₃	C₂³	1	4	yes	—
221	C₄⋊Q₈×C₄₃	C₂³	1	4	yes	—
222	C₄⋊Q₈×C₄₃	C₂³	1	4	yes	—
223	#125×C₄₃	C₂³	1	8	yes	—
224	#125×C₄₃	C₂³	1	4	yes	—
225	#125×C₄₃	C₂³	1	4	yes	—
226	C₂²⋊Q₈×C₄₃	C₂³	1	8	yes	—
227	C₂²⋊Q₈×C₄₃	C₂³	1	8	yes	—
228	C₂²⋊Q₈×C₄₃	C₂³	1	8	yes	—
229	C₂²⋊Q₈×C₄₃	C₂³	1	8	yes	—
230	C₄×Q₈×C₄₃	C₂³	1	8	yes	—
231	C₄×Q₈×C₄₃	C₂³	1	8	yes	—
232	C₄×Q₈×C₄₃	C₂³	1	8	yes	—
233	C₄×Q₈×C₄₃	C₂³	1	8	yes	—
234	#117×C₄₃	C₂³	1	4	yes	—
235	#117×C₄₃	C₂³	1	4	yes	—
236	#117×C₄₃	C₂³	1	4	yes	—
237	#117×C₄₃	C₂³	1	4	yes	—
238	C₂×C₄⋊C₄×C₄₃	C₂³	1	4	yes	—
239	C₂×C₄⋊C₄×C₄₃	C₂³	1	8	yes	—
240	C₂×C₄⋊C₄×C₄₃	C₂³	1	4	yes	—
241	C₂×C₂²⋊C₄×C₄₃	C₂³	1	4	yes	—
242	C₂×C₄²×C₄₃	C₂³	1	2	yes	—
243	C₂×C₄²×C₄₃	C₂³	1	1	yes	characteristic
244	C₂×C₄²×C₄₃	C₂³	1	1	yes	characteristic
245	C₂×C₄²×C₄₃	C₂³	1	1	yes	characteristic
246	C₂×C₄²×C₄₃	C₂³	1	1	yes	characteristic
247	C₂×C₄²×C₄₃	C₂³	1	2	yes	—
248	C₂×C₄²×C₄₃	C₂³	1	2	yes	—
249	C₂×C₄²×C₄₃	C₂³	1	1	yes	characteristic
250	C₂×C₄²×C₄₃	C₂³	1	1	yes	characteristic
251	C₂×C₄²×C₄₃	C₂³	1	4	yes	—
252	C₂⁴×C₄₃	C₂⁴	1	1	yes	characteristic
253	C₂³×D₄₃	C₂⁴	1	4	yes	—
254	C₂³×D₄₃	C₂⁴	1	2	yes	—
255	C₂×Q₈×C₄₃	—	4	8	no	—
256	C₂×Q₈×C₄₃	C₂⁴	1	8	yes	—
257	C₂×Q₈×C₄₃	C₂⁴	1	8	yes	—
258	C₂²×C₄×C₄₃	—	4	4	no	—
259	C₂²×C₄×C₄₃	#41	1	8	yes	complemented
260	C₂²×C₄×C₄₃	C₂⁴	1	2	yes	—
261	C₂²×C₄×C₄₃	C₂⁴	1	2	yes	—
262	C₂²×C₄×C₄₃	C₂⁴	1	2	yes	—
263	C₂²×C₄×C₄₃	C₂⁴	1	2	yes	—
264	C₂²×C₄×C₄₃	C₂⁴	1	2	yes	—
265	C₂²×C₄×C₄₃	C₂⁴	1	2	yes	—
266	C₂²×C₄×C₄₃	C₂⁴	1	8	yes	—
267	C₂²×C₄×C₄₃	C₂⁴	1	1	yes	characteristic
268	C₂²×C₄×C₄₃	C₂⁴	1	1	yes	characteristic
269	C₂²×C₄×C₄₃	C₂⁴	1	1	yes	characteristic
270	C₂²×C₄×C₄₃	C₂⁴	1	1	yes	characteristic
271	C₂²×C₄×C₄₃	C₂⁴	1	1	yes	characteristic
272	C₂²×C₄×C₄₃	C₂⁴	1	1	yes	characteristic
273	C₂×C₂²⋊D₄₃	—	2	8	no	—
274	C₂×C₂²⋊D₄₃	—	2	16	no	—
275	C₂×C₂²⋊D₄₃	C₂⁴	1	8	yes	—
276	C₂×C₂²⋊D₄₃	C₂⁴	1	4	yes	—
277	C₂×C₂²⋊D₄₃	C₂⁴	1	4	yes	—
278	C₂×C₂²⋊D₄₃	C₂⁴	1	8	yes	—
279	C₂²×Dic₄₃	C₂⁴	1	2	yes	—
280	C₂²×Dic₄₃	C₂⁴	1	4	yes	—
281	C₂²×Dic₄₃	C₂⁴	1	4	yes	—
282	#10621902	—	4	32	no	—
283	#10621898	—	2	8	no	—
284	#10621898	—	2	16	no	—
285	#10621898	—	2	8	no	—
286	#10621898	—	2	16	no	—
287	#10621898	—	2	16	no	—
288	#10621898	—	2	8	no	—
289	#10621898	—	2	8	no	—
290	#10621898	—	2	16	no	—
291	C₂×D₁₇₂	—	2	4	no	—
292	C₂×D₁₇₂	—	2	8	no	—
293	C₂×D₁₇₂	—	4	8	no	—
294	C₂×D₁₇₂	C₂⁴	1	4	yes	—
295	C₂×D₁₇₂	C₂⁴	1	8	yes	—
296	C₂×D₁₇₂	C₂⁴	1	2	yes	—
297	C₂×D₁₇₂	C₂⁴	1	2	yes	—
298	C₂×D₁₇₂	C₂⁴	1	4	yes	—
299	C₂×D₁₇₂	C₂⁴	1	32	yes	—
300	C₂×D₁₇₂	C₂⁴	1	8	yes	—
301	C₂×C₄×D₄₃	—	2	8	no	—
302	C₂×C₄×D₄₃	—	2	16	no	—
303	C₂×C₄×D₄₃	—	4	8	no	—
304	C₂×C₄×D₄₃	C₂⁴	1	4	yes	—
305	C₂×C₄×D₄₃	C₂⁴	1	8	yes	—
306	C₂×C₄×D₄₃	C₂⁴	1	4	yes	—
307	C₂×C₄×D₄₃	C₂⁴	1	8	yes	—
308	C₂×C₄×D₄₃	C₂⁴	1	8	yes	—
309	C₂×C₄×D₄₃	C₂⁴	1	8	yes	—
310	C₂×C₄×D₄₃	C₂⁴	1	32	yes	—
311	C₂×Dic₈₆	—	2	8	no	—
312	C₂×Dic₈₆	—	2	4	no	—
313	C₂×Dic₈₆	C₂⁴	1	4	yes	—
314	C₂×Dic₈₆	C₂⁴	1	2	yes	—
315	C₂×Dic₈₆	C₂⁴	1	2	yes	—
316	C₂×Dic₈₆	C₂⁴	1	4	yes	—
317	C₄⋊C₄×C₄₃	C₂⁴	1	8	yes	—
318	C₄⋊C₄×C₄₃	C₂⁴	1	8	yes	—
319	C₄⋊C₄×C₄₃	C₂⁴	1	16	yes	—
320	C₄⋊C₄×C₄₃	C₂⁴	1	16	yes	—
321	C₄⋊C₄×C₄₃	C₂⁴	1	8	yes	—
322	C₄⋊C₄×C₄₃	C₂⁴	1	8	yes	—
323	C₂²⋊C₄×C₄₃	C₂⁴	1	8	yes	—
324	C₂²⋊C₄×C₄₃	C₂⁴	1	8	yes	—
325	C₄²×C₄₃	C₂⁴	1	2	yes	—
326	C₄²×C₄₃	C₂⁴	1	2	yes	—
327	C₄²×C₄₃	C₂⁴	1	2	yes	—
328	C₄²×C₄₃	C₂⁴	1	2	yes	—
329	C₄²×C₄₃	C₂⁴	1	1	yes	characteristic
330	C₄²×C₄₃	C₂⁴	1	1	yes	characteristic
331	C₄²×C₄₃	C₂⁴	1	2	yes	—
332	C₄²×C₄₃	C₂⁴	1	1	yes	characteristic
333	C₄²×C₄₃	C₂⁴	1	1	yes	characteristic
334	C₄²×C₄₃	C₂⁴	1	2	yes	—
335	C₄²×C₄₃	C₂⁴	1	8	yes	—
336	C₄²×C₄₃	C₂⁴	1	8	yes	—
337	C₂²⋊Dic₄₃	C₂⁴	1	4	yes	—
338	C₂²⋊Dic₄₃	C₂⁴	1	4	yes	—
339	(C₂×D₄₃)⋊C₄	C₂⁴	1	32	yes	—
340	(C₂×D₄₃)⋊C₄	C₂⁴	1	8	yes	—
341	(C₂×D₄₃)⋊C₄	C₂⁴	1	8	yes	—
342	(C₂×D₄₃)⋊C₄	C₂⁴	1	16	yes	—
343	(C₂×D₄₃)⋊C₄	C₂⁴	1	16	yes	—
344	(C₂×D₄₃)⋊C₄	C₂⁴	1	32	yes	—
345	(C₂×D₄₃)⋊C₄	C₂⁴	1	32	yes	—
346	C₄⋊Dic₄₃	C₂⁴	1	4	yes	—
347	C₄⋊Dic₄₃	C₂⁴	1	8	yes	—
348	C₄⋊Dic₄₃	C₂⁴	1	4	yes	—
349	C₄⋊Dic₄₃	C₂⁴	1	8	yes	—
350	C₄⋊Dic₄₃	C₂⁴	1	32	yes	—
351	Dic₄₃⋊C₄	C₂⁴	1	32	yes	—
352	Dic₄₃⋊C₄	C₂⁴	1	8	yes	—
353	Dic₄₃⋊C₄	C₂⁴	1	8	yes	—
354	C₄×Dic₄₃	C₂⁴	1	4	yes	—
355	C₄×Dic₄₃	C₂⁴	1	4	yes	—
356	C₄×Dic₄₃	C₂⁴	1	8	yes	—
357	C₄×Dic₄₃	C₂⁴	1	8	yes	—
358	C₄×Dic₄₃	C₂⁴	1	32	yes	—
359	C₂³×C₄₃	—	4	2	no	—
360	C₂³×C₄₃	C₂×#41	1	4	yes	—
361	C₂³×C₄₃	C₂⁵	1	1	yes	characteristic
362	C₂³×C₄₃	C₂⁵	1	1	yes	characteristic
363	C₂³×C₄₃	C₂⁵	1	1	yes	characteristic
364	C₂²×D₄₃	—	2	4	no	—
365	C₂²×D₄₃	—	2	8	no	—
366	C₂²×D₄₃	—	4	4	no	—
367	C₂²×D₄₃	—	4	8	no	—
368	C₂²×D₄₃	C₂⁵	1	4	yes	—
369	C₂²×D₄₃	C₂⁵	1	8	yes	—
370	Q₈×C₄₃	—	2	16	no	—
371	Q₈×C₄₃	—	4	8	no	—
372	C₂×C₄×C₄₃	—	2	4	no	—
373	C₂×C₄×C₄₃	—	2	4	no	—
374	C₂×C₄×C₄₃	—	2	4	no	—
375	C₂×C₄×C₄₃	—	4	2	no	—
376	C₂×C₄×C₄₃	—	4	2	no	—
377	C₂×C₄×C₄₃	—	4	2	no	—
378	C₂×C₄×C₄₃	—	4	8	no	—
379	C₂×C₄×C₄₃	C₂×#41	1	4	yes	—
380	C₂×C₄×C₄₃	C₂×#41	1	4	yes	—
381	C₂×C₄×C₄₃	C₂×#41	1	4	yes	—
382	C₂×C₄×C₄₃	C₂×#41	1	4	yes	—
383	C₂×C₄×C₄₃	C₂×#41	1	4	yes	—
384	C₂×C₄×C₄₃	C₂×#41	1	4	yes	—
385	C₂×C₄×C₄₃	C₂⁵	1	2	yes	—
386	C₂×C₄×C₄₃	C₂⁵	1	16	yes	—
387	C₂×C₄×C₄₃	C₂⁵	1	2	yes	—
388	C₂×C₄×C₄₃	C₂⁵	1	2	yes	—
389	C₂×C₄×C₄₃	C₂⁵	1	1	yes	characteristic
390	C₂×C₄×C₄₃	C₂⁵	1	1	yes	characteristic
391	C₂×C₄×C₄₃	C₂⁵	1	1	yes	characteristic
392	C₂×C₄×C₄₃	C₂⁵	1	2	yes	—
393	C₂×C₄×C₄₃	C₂⁵	1	1	yes	characteristic
394	C₂²⋊D₄₃	—	2	8	no	—
395	C₂²⋊D₄₃	—	2	16	no	—
396	C₂²⋊D₄₃	—	2	8	no	—
397	C₂²⋊D₄₃	—	2	16	no	—
398	C₂×Dic₄₃	—	2	8	no	—
399	C₂×Dic₄₃	—	2	4	no	—
400	C₂×Dic₄₃	—	4	4	no	—
401	C₂×Dic₄₃	C₂⁵	1	8	yes	—
402	C₂×Dic₄₃	C₂⁵	1	4	yes	—
403	C₂×Dic₄₃	C₂⁵	1	8	yes	—
404	D₁₇₂	—	2	4	no	—
405	D₁₇₂	—	2	8	no	—
406	D₁₇₂	—	2	8	no	—
407	D₁₇₂	—	2	4	no	—
408	D₁₇₂	—	2	16	no	—
409	D₁₇₂	—	4	8	no	—
410	D₁₇₂	—	4	32	no	—
411	C₄×D₄₃	—	2	8	no	—
412	C₄×D₄₃	—	2	16	no	—
413	C₄×D₄₃	—	2	8	no	—
414	C₄×D₄₃	—	2	16	no	—
415	C₄×D₄₃	—	2	16	no	—
416	C₄×D₄₃	—	4	8	no	—
417	C₄×D₄₃	—	4	32	no	—
418	Dic₈₆	—	2	8	no	—
419	Dic₈₆	—	2	4	no	—
420	Dic₈₆	—	2	8	no	—
421	Dic₈₆	—	2	4	no	—
422	#62815	—	43	1	no	maximal, Sylow
423	C₂²×C₄₃	—	2	2	no	—
424	C₂²×C₄₃	—	2	2	no	—
425	C₂²×C₄₃	—	2	2	no	—
426	C₂²×C₄₃	—	4	4	no	—
427	C₂²×C₄₃	C₂²×#41	1	2	yes	—
428	C₂²×C₄₃	C₂²×#41	1	2	yes	—
429	C₂²×C₄₃	C₂²×#41	1	2	yes	—
430	C₂²×C₄₃	C₂⁶	1	1	yes	characteristic
431	C₂×D₄₃	—	2	4	no	—
432	C₂×D₄₃	—	2	8	no	—
433	C₂×D₄₃	—	2	8	no	—
434	C₂×D₄₃	—	2	16	no	—
435	C₂×D₄₃	—	4	8	no	—
436	C₂×D₄₃	—	8	8	no	—
437	C₄×C₄₃	—	2	2	no	—
438	C₄×C₄₃	—	2	16	no	—
439	C₄×C₄₃	—	2	2	no	—
440	C₄×C₄₃	—	2	2	no	—
441	C₄×C₄₃	C₂²×#41	1	2	yes	—
442	C₄×C₄₃	C₂²×#41	1	2	yes	—
443	C₄×C₄₃	C₂²×#41	1	2	yes	—
444	C₄×C₄₃	C₂²×#41	1	2	yes	—
445	C₄×C₄₃	#585	1	4	yes	—
446	Dic₄₃	—	2	8	no	—
447	Dic₄₃	—	2	4	no	—
448	Dic₄₃	—	2	8	no	—
449	#3512	—	43	4	no	—
450	#3511	—	43	4	no	—
451	#3510	—	43	4	no	—
452	#3509	—	43	2	no	—
453	#3508	—	43	2	no	—
454	#3507	—	43	4	no	—
455	#3506	—	43	4	no	—
456	#3505	—	43	8	no	—
457	#3480	—	43	8	no	—
458	#3475	—	43	8	no	—
459	#3455	—	43	4	no	—
460	#3449	—	43	2	no	—
461	#3444	—	43	4	no	—
462	C₂×#533	D₄₃	1	1	yes	characteristic, complemented
463	C₂×#532	—	43	1	no	—
464	#3428	—	43	2	no	—
465	C₂×C₄×#41	—	43	1	no	—
466	C₂×C₄₃	—	2	2	no	—
467	C₂×C₄₃	—	2	2	no	—
468	C₂×C₄₃	—	2	2	no	—
469	C₂×C₄₃	C₂³×#41	1	1	yes	characteristic
470	C₂×C₄₃	C₂×#585	1	2	yes	—
471	D₄₃	—	4	4	no	—
472	D₄₃	—	4	8	no	—
473	C₂²×#41	—	43	1	no	—
474	C₂²×#41	—	43	2	no	—
475	#559	—	43	16	no	—
476	#559	—	43	8	no	—
477	#557	—	43	8	no	—
478	#556	—	43	8	no	—
479	#556	—	43	8	no	—
480	#556	—	43	16	no	—
481	#555	—	43	8	no	—
482	#554	—	43	8	no	—
483	#553	—	43	16	no	—
484	#553	—	43	16	no	—
485	#553	—	43	32	no	—
486	#552	—	43	16	no	—
487	#552	—	43	16	no	—
488	#551	—	43	32	no	—
489	#550	—	43	8	no	—
490	#548	—	43	16	no	—
491	#547	—	43	8	no	—
492	#546	—	43	16	no	—
493	#542	—	43	16	no	—
494	#541	—	43	8	no	—
495	#540	—	43	8	no	—
496	#539	—	43	16	no	—
497	#538	—	43	16	no	—
498	#537	—	43	8	no	—
499	#536	—	43	4	no	—
500	#536	—	43	4	no	—
501	#535	—	43	4	no	—
502	#535	—	43	4	no	—
503	#534	—	43	8	no	—
504	#533	—	43	8	no	—
505	#533	C₂×D₄₃	1	2	yes	complemented
506	#533	C₂×D₄₃	1	2	yes	complemented
507	#533	C₂×D₄₃	1	4	yes	complemented
508	#533	C₂×D₄₃	1	4	yes	complemented
509	#533	C₂×D₄₃	1	2	yes	complemented
510	#533	C₂×D₄₃	1	2	yes	complemented
511	#532	—	43	8	no	—
512	#532	—	43	2	no	—
513	#532	—	43	2	no	—
514	#532	—	43	4	no	—
515	#532	—	43	4	no	—
516	#532	—	43	2	no	—
517	#532	—	43	2	no	—
518	#532	—	43	8	no	—
519	C₂×C₄⋊Q₈	—	43	1	no	—
520	C₂×C₄⋊Q₈	C₂×D₄₃	1	2	yes	complemented
521	C₂×#127	—	43	1	no	—
522	#529	—	43	16	no	—
523	#529	—	43	16	no	—
524	#529	—	43	16	no	—
525	#529	—	43	32	no	—
526	C₂×#125	C₂×D₄₃	1	2	yes	complemented
527	C₂×#124	—	43	2	no	—
528	#525	—	43	16	no	—
529	#525	—	43	8	no	—
530	#525	—	43	8	no	—
531	C₂×C₂²⋊Q₈	C₂×D₄₃	1	4	yes	—
532	C₂×#121	—	43	4	no	—
533	#520	—	43	8	no	—
534	#520	—	43	8	no	—
535	#519	—	43	4	no	—
536	#518	—	43	4	no	—
537	#518	—	43	8	no	—
538	C₄×#41	—	43	16	no	—
539	C₄×#41	—	43	8	no	—
540	C₄×#41	—	43	4	no	—
541	C₄×#41	—	43	2	no	—
542	C₄×#41	—	43	2	no	—
543	C₄×#41	—	43	4	no	—
544	C₄×#41	—	43	2	no	—
545	C₄×#41	—	43	2	no	—
546	C₄×#41	—	43	8	no	—
547	C₂×C₄×Q₈	—	43	2	no	—
548	C₂×C₄×Q₈	C₂×D₄₃	1	4	yes	complemented
549	C₂×C₄×D₄	—	43	4	no	—
550	C₂×C₄×D₄	—	43	2	no	—
551	C₂×C₄×D₄	—	43	4	no	—
552	C₂×#117	—	43	1	no	—
553	C₂×#117	—	43	8	no	—
554	C₂×#117	—	43	2	no	—
555	C₂×#117	C₂×D₄₃	1	2	yes	—
556	C₂²×C₄²	—	43	2	no	—
557	C₂²×C₄²	C₂×D₄₃	1	1	yes	characteristic
558	C₄₃	#62815	1	1	yes	characteristic, complemented, Sylow
559	C₂×#41	—	43	16	no	—
560	C₂×#41	—	43	2	no	—
561	C₂×#41	—	43	4	no	—
562	C₂×#41	—	43	2	no	—
563	C₂×#41	—	43	4	no	—
564	C₂×#41	—	43	2	no	—
565	C₂×#41	—	43	2	no	—
566	C₂×#41	—	43	4	no	—
567	C₂×#41	—	43	4	no	—
568	C₂×#41	—	86	8	no	—
569	C₂×#41	—	86	16	no	—
570	C₂²×Q₈	—	43	1	no	—
571	C₂²×Q₈	—	43	2	no	—
572	C₂²×Q₈	C₂²×D₄₃	1	4	yes	—
573	C₂²×D₄	—	43	2	no	—
574	C₂²×D₄	—	43	4	no	—
575	C₂²×D₄	—	43	1	no	—
576	C₂²×D₄	—	43	2	no	—
577	C₂²×D₄	—	43	4	no	—
578	C₂³×C₄	—	43	4	no	—
579	C₂³×C₄	—	43	2	no	—
580	C₂³×C₄	—	43	4	no	—
581	C₂³×C₄	C₂²×D₄₃	1	2	yes	—
582	C₂³×C₄	C₂²×D₄₃	1	1	yes	characteristic
583	C₄⋊Q₈	—	43	2	no	—
584	C₄⋊Q₈	—	43	2	no	—
585	C₄⋊Q₈	—	43	4	no	—
586	C₄⋊Q₈	—	43	8	no	—
587	C₄⋊Q₈	C₂²×D₄₃	1	4	yes	—
588	C₄⋊Q₈	C₂²×D₄₃	1	4	yes	—
589	C₄⋊Q₈	C₂²×D₄₃	1	4	yes	—
590	C₄⋊Q₈	C₂²×D₄₃	1	4	yes	—
591	#127	—	43	2	no	—
592	#127	—	43	2	no	—
593	#127	—	43	4	no	—
594	#127	—	43	8	no	—
595	#126	—	43	32	no	—
596	#126	—	43	32	no	—
597	#126	—	43	32	no	—
598	#125	—	43	16	no	—
599	#125	—	43	32	no	—
600	#125	C₂²×D₄₃	1	4	yes	—
601	#125	C₂²×D₄₃	1	4	yes	—
602	#125	C₂²×D₄₃	1	8	yes	—
603	#124	—	43	16	no	—
604	#124	—	43	32	no	—
605	#124	—	43	4	no	—
606	#124	—	43	4	no	—
607	#124	—	43	8	no	—
608	#124	—	43	8	no	—
609	#124	—	43	8	no	—
610	#123	—	43	32	no	—
611	#123	—	43	32	no	—
612	#123	—	43	32	no	—
613	#123	—	43	16	no	—
614	#123	—	43	16	no	—
615	C₂²⋊Q₈	—	43	16	no	—
616	C₂²⋊Q₈	—	43	32	no	—
617	C₂²⋊Q₈	—	43	16	no	—
618	C₂²⋊Q₈	—	43	16	no	—
619	C₂²⋊Q₈	C₂²×D₄₃	1	8	yes	—
620	C₂²⋊Q₈	C₂²×D₄₃	1	8	yes	—
621	C₂²⋊Q₈	C₂²×D₄₃	1	8	yes	—
622	C₂²⋊Q₈	C₂²×D₄₃	1	8	yes	—
623	#121	—	43	8	no	—
624	#121	—	43	8	no	—
625	#121	—	43	8	no	—
626	#121	—	43	8	no	—
627	#121	—	43	32	no	—
628	#121	—	43	16	no	—
629	#121	—	43	16	no	—
630	#121	—	43	16	no	—
631	#121	—	43	32	no	—
632	#120	—	43	16	no	—
633	#120	—	43	16	no	—
634	C₄×Q₈	—	43	16	no	—
635	C₄×Q₈	—	43	16	no	—
636	C₄×Q₈	—	43	4	no	—
637	C₄×Q₈	—	43	4	no	—
638	C₄×Q₈	—	43	4	no	—
639	C₄×Q₈	—	43	4	no	—
640	C₄×Q₈	—	43	16	no	—
641	C₄×Q₈	C₂²×D₄₃	1	8	yes	—
642	C₄×Q₈	C₂²×D₄₃	1	8	yes	—
643	C₄×Q₈	C₂²×D₄₃	1	8	yes	—
644	C₄×Q₈	C₂²×D₄₃	1	8	yes	—
645	C₄×D₄	—	43	8	no	—
646	C₄×D₄	—	43	8	no	—
647	C₄×D₄	—	43	8	no	—
648	C₄×D₄	—	43	8	no	—
649	C₄×D₄	—	43	32	no	—
650	C₄×D₄	—	43	16	no	—
651	C₄×D₄	—	43	32	no	—
652	C₄×D₄	—	43	16	no	—
653	C₄×D₄	—	43	32	no	—
654	C₄×D₄	—	43	8	no	—
655	C₄×D₄	—	43	4	no	—
656	C₄×D₄	—	43	4	no	—
657	C₄×D₄	—	43	4	no	—
658	C₄×D₄	—	43	4	no	—
659	C₄×D₄	—	43	8	no	—
660	C₄×D₄	—	43	8	no	—
661	C₄×D₄	—	43	8	no	—
662	C₄×D₄	—	43	16	no	—
663	C₄×D₄	—	43	32	no	—
664	#117	—	43	2	no	—
665	#117	—	43	2	no	—
666	#117	—	43	2	no	—
667	#117	—	43	2	no	—
668	#117	—	43	16	no	—
669	#117	—	43	16	no	—
670	#117	—	43	32	no	—
671	#117	—	43	16	no	—
672	#117	—	43	16	no	—
673	#117	—	43	8	no	—
674	#117	—	43	4	no	—
675	#117	—	43	4	no	—
676	#117	C₂²×D₄₃	1	4	yes	—
677	#117	C₂²×D₄₃	1	4	yes	—
678	#117	C₂²×D₄₃	1	4	yes	—
679	#117	C₂²×D₄₃	1	4	yes	—
680	C₂×C₄⋊C₄	—	43	2	no	—
681	C₂×C₄⋊C₄	—	43	4	no	—
682	C₂×C₄⋊C₄	—	43	4	no	—
683	C₂×C₄⋊C₄	—	43	16	no	—
684	C₂×C₄⋊C₄	C₂²×D₄₃	1	4	yes	—
685	C₂×C₄⋊C₄	C₂²×D₄₃	1	8	yes	—
686	C₂×C₄⋊C₄	C₂²×D₄₃	1	4	yes	—
687	C₂×C₂²⋊C₄	—	43	2	no	—
688	C₂×C₂²⋊C₄	—	43	4	no	—
689	C₂×C₂²⋊C₄	—	43	8	no	—
690	C₂×C₂²⋊C₄	—	43	16	no	—
691	C₂×C₂²⋊C₄	C₂²×D₄₃	1	4	yes	—
692	C₂×C₄²	—	43	2	no	—
693	C₂×C₄²	—	43	4	no	—
694	C₂×C₄²	—	43	16	no	—
695	C₂×C₄²	—	43	8	no	—
696	C₂×C₄²	—	43	4	no	—
697	C₂×C₄²	—	43	4	no	—
698	C₂×C₄²	C₂²×D₄₃	1	1	yes	characteristic
699	C₂×C₄²	C₂²×D₄₃	1	4	yes	—
700	C₂×C₄²	C₂²×D₄₃	1	2	yes	—
701	C₂×C₄²	C₂²×D₄₃	1	2	yes	—
702	C₂×C₄²	C₂²×D₄₃	1	2	yes	—
703	C₂×C₄²	C₂²×D₄₃	1	1	yes	characteristic
704	C₂×C₄²	C₂²×D₄₃	1	1	yes	characteristic
705	C₂×C₄²	C₂²×D₄₃	1	1	yes	characteristic
706	C₂×C₄²	C₂²×D₄₃	1	1	yes	characteristic
707	C₂×C₄²	C₂²×D₄₃	1	1	yes	characteristic
708	C₂⁴	—	43	4	no	—
709	C₂⁴	—	43	2	no	—
710	C₂⁴	C₂³×D₄₃	1	1	yes	characteristic
711	#41	—	86	8	no	—
712	#41	—	86	16	no	—
713	#41	—	86	8	no	—
714	#41	—	86	16	no	—
715	#41	—	86	8	no	—
716	#41	—	86	16	no	—
717	#41	—	86	8	no	—
718	#41	—	86	16	no	—
719	#41	—	172	32	no	—
720	C₂×Q₈	—	4	8	no	—
721	C₂×Q₈	—	43	2	no	—
722	C₂×Q₈	—	43	4	no	—
723	C₂×Q₈	—	43	2	no	—
724	C₂×Q₈	—	43	4	no	—
725	C₂×Q₈	—	86	8	no	—
726	C₂×Q₈	—	86	4	no	—
727	C₂×Q₈	C₂³×D₄₃	1	8	yes	—
728	C₂×Q₈	C₂³×D₄₃	1	8	yes	—
729	C₂×D₄	—	43	4	no	—
730	C₂×D₄	—	43	8	no	—
731	C₂×D₄	—	43	4	no	—
732	C₂×D₄	—	43	8	no	—
733	C₂×D₄	—	43	2	no	—
734	C₂×D₄	—	43	4	no	—
735	C₂×D₄	—	43	8	no	—
736	C₂×D₄	—	43	2	no	—
737	C₂×D₄	—	43	4	no	—
738	C₂×D₄	—	43	32	no	—
739	C₂×D₄	—	43	8	no	—
740	C₂×D₄	—	86	16	no	—
741	C₂×D₄	—	86	8	no	—
742	C₂×D₄	—	86	8	no	—
743	C₂×D₄	—	86	4	no	—
744	C₂×D₄	—	172	8	no	—
745	C₂²×C₄	—	4	4	no	—
746	C₂²×C₄	—	43	2	no	—
747	C₂²×C₄	—	43	4	no	—
748	C₂²×C₄	—	43	4	no	—
749	C₂²×C₄	—	43	8	no	—
750	C₂²×C₄	—	43	4	no	—
751	C₂²×C₄	—	43	8	no	—
752	C₂²×C₄	—	43	8	no	—
753	C₂²×C₄	—	43	4	no	—
754	C₂²×C₄	—	43	8	no	—
755	C₂²×C₄	—	43	32	no	—
756	C₂²×C₄	—	86	16	no	—
757	C₂²×C₄	—	86	8	no	—
758	C₂²×C₄	—	172	8	no	—
759	C₂²×C₄	#10621902	1	8	yes	complemented
760	C₂²×C₄	C₂³×D₄₃	1	2	yes	—
761	C₂²×C₄	C₂³×D₄₃	1	2	yes	—
762	C₂²×C₄	C₂³×D₄₃	1	2	yes	—
763	C₂²×C₄	C₂³×D₄₃	1	2	yes	—
764	C₂²×C₄	C₂³×D₄₃	1	2	yes	—
765	C₂²×C₄	C₂³×D₄₃	1	2	yes	—
766	C₂²×C₄	C₂³×D₄₃	1	8	yes	—
767	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
768	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
769	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
770	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
771	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
772	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
773	C₄⋊C₄	—	43	4	no	—
774	C₄⋊C₄	—	43	4	no	—
775	C₄⋊C₄	—	43	8	no	—
776	C₄⋊C₄	—	43	8	no	—
777	C₄⋊C₄	—	43	32	no	—
778	C₄⋊C₄	—	43	8	no	—
779	C₄⋊C₄	—	43	8	no	—
780	C₄⋊C₄	—	43	32	no	—
781	C₄⋊C₄	C₂³×D₄₃	1	8	yes	—
782	C₄⋊C₄	C₂³×D₄₃	1	8	yes	—
783	C₄⋊C₄	C₂³×D₄₃	1	16	yes	—
784	C₄⋊C₄	C₂³×D₄₃	1	8	yes	—
785	C₄⋊C₄	C₂³×D₄₃	1	16	yes	—
786	C₄⋊C₄	C₂³×D₄₃	1	8	yes	—
787	C₂²⋊C₄	—	43	4	no	—
788	C₂²⋊C₄	—	43	4	no	—
789	C₂²⋊C₄	—	43	8	no	—
790	C₂²⋊C₄	—	43	32	no	—
791	C₂²⋊C₄	—	43	16	no	—
792	C₂²⋊C₄	—	43	8	no	—
793	C₂²⋊C₄	—	43	16	no	—
794	C₂²⋊C₄	—	43	32	no	—
795	C₂²⋊C₄	—	43	32	no	—
796	C₂²⋊C₄	C₂³×D₄₃	1	8	yes	—
797	C₂²⋊C₄	C₂³×D₄₃	1	8	yes	—
798	C₄²	—	43	4	no	—
799	C₄²	—	43	8	no	—
800	C₄²	—	43	8	no	—
801	C₄²	—	43	32	no	—
802	C₄²	—	43	4	no	—
803	C₄²	C₂³×D₄₃	1	1	yes	characteristic
804	C₄²	C₂³×D₄₃	1	1	yes	characteristic
805	C₄²	C₂³×D₄₃	1	1	yes	characteristic
806	C₄²	C₂³×D₄₃	1	1	yes	characteristic
807	C₄²	C₂³×D₄₃	1	2	yes	—
808	C₄²	C₂³×D₄₃	1	2	yes	—
809	C₄²	C₂³×D₄₃	1	2	yes	—
810	C₄²	C₂³×D₄₃	1	2	yes	—
811	C₄²	C₂³×D₄₃	1	8	yes	—
812	C₄²	C₂³×D₄₃	1	2	yes	—
813	C₄²	C₂³×D₄₃	1	8	yes	—
814	C₄²	C₂³×D₄₃	1	2	yes	—
815	C₂³	—	4	2	no	—
816	C₂³	—	43	4	no	—
817	C₂³	—	43	8	no	—
818	C₂³	—	86	8	no	—
819	C₂³	—	86	4	no	—
820	C₂³	—	172	8	no	—
821	C₂³	—	172	4	no	—
822	C₂³	C₂×#10621902	1	4	yes	—
823	C₂³	C₂⁴×D₄₃	1	1	yes	characteristic
824	C₂³	C₂⁴×D₄₃	1	1	yes	characteristic
825	C₂³	C₂⁴×D₄₃	1	1	yes	characteristic
826	Q₈	—	2	16	no	—
827	Q₈	—	4	8	no	—
828	Q₈	—	86	4	no	—
829	Q₈	—	86	8	no	—
830	Q₈	—	86	4	no	—
831	Q₈	—	86	8	no	—
832	D₄	—	86	8	no	—
833	D₄	—	86	16	no	—
834	D₄	—	86	16	no	—
835	D₄	—	86	8	no	—
836	D₄	—	86	4	no	—
837	D₄	—	86	8	no	—
838	D₄	—	86	8	no	—
839	D₄	—	86	4	no	—
840	D₄	—	86	16	no	—
841	D₄	—	172	8	no	—
842	D₄	—	172	32	no	—
843	C₂×C₄	—	2	4	no	—
844	C₂×C₄	—	2	4	no	—
845	C₂×C₄	—	2	4	no	—
846	C₂×C₄	—	4	2	no	—
847	C₂×C₄	—	4	2	no	—
848	C₂×C₄	—	4	2	no	—
849	C₂×C₄	—	4	8	no	—
850	C₂×C₄	—	43	8	no	—
851	C₂×C₄	—	43	4	no	—
852	C₂×C₄	—	43	8	no	—
853	C₂×C₄	—	86	8	no	—
854	C₂×C₄	—	86	4	no	—
855	C₂×C₄	—	86	16	no	—
856	C₂×C₄	—	86	8	no	—
857	C₂×C₄	—	86	16	no	—
858	C₂×C₄	—	86	8	no	—
859	C₂×C₄	—	86	16	no	—
860	C₂×C₄	—	172	8	no	—
861	C₂×C₄	—	172	32	no	—
862	C₂×C₄	—	172	4	no	—
863	C₂×C₄	C₂×#10621902	1	4	yes	—
864	C₂×C₄	C₂×#10621902	1	4	yes	—
865	C₂×C₄	C₂×#10621902	1	4	yes	—
866	C₂×C₄	C₂×#10621902	1	4	yes	—
867	C₂×C₄	C₂×#10621902	1	4	yes	—
868	C₂×C₄	C₂×#10621902	1	4	yes	—
869	C₂×C₄	C₂⁴×D₄₃	1	2	yes	—
870	C₂×C₄	C₂⁴×D₄₃	1	16	yes	—
871	C₂×C₄	C₂⁴×D₄₃	1	2	yes	—
872	C₂×C₄	C₂⁴×D₄₃	1	2	yes	—
873	C₂×C₄	C₂⁴×D₄₃	1	1	yes	characteristic
874	C₂×C₄	C₂⁴×D₄₃	1	1	yes	characteristic
875	C₂×C₄	C₂⁴×D₄₃	1	1	yes	characteristic
876	C₂×C₄	C₂⁴×D₄₃	1	2	yes	—
877	C₂×C₄	C₂⁴×D₄₃	1	1	yes	characteristic
878	C₂²	—	2	2	no	—
879	C₂²	—	2	2	no	—
880	C₂²	—	2	2	no	—
881	C₂²	—	4	4	no	—
882	C₂²	—	86	8	no	—
883	C₂²	—	86	4	no	—
884	C₂²	—	86	8	no	—
885	C₂²	—	86	16	no	—
886	C₂²	—	344	8	no	—
887	C₂²	—	172	8	no	—
888	C₂²	C₂²×#10621902	1	2	yes	—
889	C₂²	C₂²×#10621902	1	2	yes	—
890	C₂²	C₂²×#10621902	1	2	yes	—
891	C₂²	C₂⁵×D₄₃	1	1	yes	characteristic
892	C₄	—	2	2	no	—
893	C₄	—	2	2	no	—
894	C₄	—	2	2	no	—
895	C₄	—	2	16	no	—
896	C₄	—	86	4	no	—
897	C₄	—	86	8	no	—
898	C₄	—	86	8	no	—
899	C₄	C₂²×#10621902	1	2	yes	—
900	C₄	C₂²×#10621902	1	2	yes	—
901	C₄	C₂²×#10621902	1	2	yes	—
902	C₄	C₂²×#10621902	1	2	yes	—
903	C₄	#14583735	1	4	yes	—
904	C₂	—	2	2	no	—
905	C₂	—	2	2	no	—
906	C₂	—	2	2	no	—
907	C₂	—	172	8	no	—
908	C₂	—	172	4	no	—
909	C₂	C₂³×#10621902	1	1	yes	characteristic
910	C₂	C₂×#14583735	1	2	yes	—

	subgroup	G/H
center	C₂×C₄	C₂⁴×D₄₃
commutator, socle, cosocle	C₂²×C₄₃	C₂⁶
Frattini	C₂²	C₂⁵×D₄₃
Fitting	C₂×C₄₃×#533	C₂
hypercenter	C₂×#533	D₄₃
hypocenter	C₄₃	#62815
LCS	G ▷ C₂²×C₄₃ ▷ C₄₃
UCS	C₁ ◁ C₂×C₄ ◁ C₂×#533

Complements

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

N	H ≅ G/N	type
1. #19148519	C₂	semidirect
2. #19148508	C₂	semidirect
3. #19148493	C₂	semidirect
4. #19148482	C₂	semidirect
5. #19148472	C₂	semidirect
6. #19148462	C₂	semidirect
7. #19148449	C₂	semidirect
8. #19148436	C₂	semidirect
9. #19148190	C₂	semidirect
10. #19148162	C₂	semidirect
11. #19147987	C₂	semidirect
12. #19147928	C₂	semidirect
13. #19147892	C₂	semidirect
14. C₂×#14583449	C₂	semidirect
15. #19147796	C₂	semidirect
16. C₂×C₄×#10621898	C₂	semidirect
17. C₂×C₄₃×#533	C₂	semidirect
20. #14583634	C₂²	semidirect
21. #14583634	C₂²	semidirect
22. #14583628	C₂²	semidirect
23. #14583623	C₂²	semidirect
24. #14583622	C₂²	semidirect
25. #14583622	C₂²	semidirect
26. #14583615	C₂²	semidirect
27. #14583610	C₂²	semidirect
28. #14583602	C₂²	semidirect
29. #14583597	C₂²	semidirect
30. #14583597	C₂²	semidirect
31. #14583591	C₂²	semidirect
32. #14583587	C₂²	semidirect
33. #14583576	C₂²	semidirect
34. #14583571	C₂²	semidirect
35. #14583560	C₂²	semidirect
36. #14583552	C₂²	semidirect
37. #14583540	C₂²	semidirect
38. #14583523	C₂²	semidirect
39. #14583512	C₂²	semidirect
40. #14583505	C₂²	semidirect
41. #14583498	C₂²	semidirect
42. #14583489	C₂²	semidirect
43. #14583480	C₂²	semidirect
45. #14583475	C₂²	semidirect
47. #14583468	C₂²	semidirect
49. #14583454	C₂²	semidirect
50. #14583450	C₂²	semidirect
54. #14583449	C₂²	semidirect
55. #14583449	C₂²	semidirect
56. #14583449	C₂²	semidirect
57. #14583449	C₂²	semidirect
58. C₂×#13063325	C₂²	semidirect
59. C₂×#13063322	C₂²	semidirect
60. #14583436	C₂²	semidirect
61. #14583436	C₂²	semidirect
62. #14583435	C₂²	semidirect
63. #14583434	C₂²	semidirect
64. C₂×#13063313	C₂²	semidirect
65. #14583412	C₂²	semidirect
67. #14583411	C₂²	semidirect
69. #14583380	C₂²	semidirect
70. #14583379	C₂²	semidirect
71. #14583376	C₂²	semidirect
72. #14583373	C₂²	semidirect
74. C₄×#10621902	C₂²	semidirect
78. C₄×#10621898	C₂²	semidirect
79. C₄×#10621898	C₂²	semidirect
80. C₄×#10621898	C₂²	semidirect
81. C₄×#10621898	C₂²	semidirect
82. #14583367	C₂²	semidirect
83. C₂×C₄×Dic₈₆	C₂²	semidirect
84. C₂×C₄×D₁₇₂	C₂²	semidirect
85. C₂×C₄×D₁₇₂	C₂²	semidirect
88. C₂×#13063282	C₂²	semidirect
89. #117×D₄₃	C₂²	semidirect
90. C₂×C₄²×D₄₃	C₂²	semidirect
91. C₄₃×#533	C₂²	semidirect
92. C₄₃×#533	C₂²	semidirect
93. C₄₃×#533	C₂²	semidirect
94. C₄₃×#533	C₂²	semidirect
95. C₄₃×#533	C₂²	semidirect
96. C₄₃×#533	C₂²	semidirect
97. C₂×C₄⋊Q₈×C₄₃	C₂²	semidirect
98. C₂×#125×C₄₃	C₂²	semidirect
100. C₂×C₄×Q₈×C₄₃	C₂²	semidirect
259. C₂²×C₄×C₄₃	#41	semidirect
462. C₂×#533	D₄₃	semidirect
505. #533	C₂×D₄₃	semidirect
506. #533	C₂×D₄₃	semidirect
507. #533	C₂×D₄₃	semidirect
508. #533	C₂×D₄₃	semidirect
509. #533	C₂×D₄₃	semidirect
510. #533	C₂×D₄₃	semidirect
520. C₂×C₄⋊Q₈	C₂×D₄₃	semidirect
526. C₂×#125	C₂×D₄₃	semidirect
548. C₂×C₄×Q₈	C₂×D₄₃	semidirect
558. C₄₃	#62815	semidirect
759. C₂²×C₄	#10621902	semidirect

Maximal subgroups

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

subgroup	index
#19148519	2
#19148508	2
#19148493	2
#19148482	2
#19148472	2
#19148462	2
#19148449	2
#19148436	2
#19148190	2
#19148162	2
#19147987	2
#19147928	2
#19147892	2
C₂×#14583449	2
#19147796	2
C₂×C₄×#10621898	2
C₂×C₄₃×#533	2
#62815	43