Subgroups — #25981388

Order 11008.

2206 conjugacy classes of subgroups.

The subgroup lattice has 1252 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#19148629	C₂	1	1	yes	maximal, characteristic, complemented
2	#41×D₁₇₂	C₂	1	1	yes	maximal, characteristic, complemented
3	#19146547	C₂	1	1	yes	maximal, characteristic, complemented
4	#19146525	C₂	1	1	yes	maximal, characteristic, complemented
5	#19146494	C₂	1	2	yes	maximal, complemented
6	#19146473	C₂	1	1	yes	maximal, characteristic, complemented
7	#19146442	C₂	1	2	yes	maximal, complemented
8	#19146421	C₂	1	1	yes	maximal, characteristic, complemented
9	#19146354	C₂	1	1	yes	maximal, characteristic, complemented
10	#19146326	C₂	1	1	yes	maximal, characteristic, complemented
11	#19146297	C₂	1	2	yes	maximal, complemented
12	SD₁₆×D₁₇₂	C₂	1	1	yes	maximal, characteristic, complemented
13	#19146275	C₂	1	2	yes	maximal, complemented
14	D₈×D₁₇₂	C₂	1	1	yes	maximal, characteristic, complemented
15	#19145567	C₂	1	1	yes	maximal, characteristic, complemented
16	#19145530	C₂	1	1	yes	maximal, characteristic, complemented
17	#19145390	C₂	1	2	yes	maximal, complemented
18	#19145364	C₂	1	2	yes	maximal, complemented
19	#19144655	C₂	1	1	yes	maximal, characteristic, complemented
20	#19143816	C₂	1	2	yes	maximal, complemented
21	#449×D₄₃	C₂	1	2	yes	maximal, complemented
22	#19143618	C₂	1	1	yes	maximal, characteristic, complemented
23	C₄₃×#3102	C₂	1	1	yes	maximal, characteristic, complemented
24	C₂×#41×D₄₃	C₂²	1	2	yes	complemented
25	C₂×#13063348	C₂²	1	2	yes	complemented
26	C₂×#13063346	C₂²	1	2	yes	complemented
27	C₂×SD₁₆×D₄₃	C₂²	1	2	yes	complemented
28	C₂×D₈×D₄₃	C₂²	1	2	yes	complemented
29	#14583614	C₂²	1	1	yes	characteristic, complemented
30	#14583609	C₂²	1	1	yes	characteristic
31	#14583602	C₂²	1	2	yes	complemented
32	#14583595	—	2	1	no	—
33	#14583571	C₂²	1	1	yes	characteristic, complemented
34	#14583571	C₂²	1	1	yes	characteristic, complemented
35	Q₈×D₁₇₂	C₂²	1	1	yes	characteristic
36	#14583561	C₂²	1	2	yes	complemented
37	#14583553	—	2	1	no	—
38	#14583553	C₂²	1	1	yes	characteristic, complemented
39	#14583544	—	2	2	no	—
40	#14583544	C₂²	1	2	yes	complemented
41	#14583542	C₂²	1	2	yes	complemented
42	#14583541	—	2	2	no	—
43	D₄×D₁₇₂	—	2	1	no	—
44	D₄×D₁₇₂	—	2	1	no	—
45	D₄×D₁₇₂	C₂²	1	1	yes	characteristic
46	D₄×D₁₇₂	C₂²	1	1	yes	characteristic
47	#14583504	—	2	1	no	—
48	#14583488	—	2	2	no	—
49	#14583449	—	2	1	no	—
50	#14583449	C₂²	1	1	yes	characteristic, complemented
51	#14583449	C₂²	1	1	yes	characteristic, complemented
52	#14583412	C₂²	1	2	yes	complemented
53	#14583411	—	2	2	no	—
54	#14583411	C₂²	1	2	yes	complemented
55	#121×D₄₃	C₂²	1	2	yes	complemented
56	#14583373	—	2	1	no	—
57	C₂×C₄×D₁₇₂	—	2	1	no	—
58	C₂×C₄×D₁₇₂	C₂²	1	1	yes	characteristic
59	#14583281	C₂²	1	2	yes	complemented
60	#14583276	C₂²	1	1	yes	characteristic, complemented
61	#14583272	C₂²	1	1	yes	characteristic, complemented
62	#14583256	C₂²	1	2	yes	complemented
63	#14583250	C₂²	1	1	yes	characteristic, complemented
64	#14583246	C₂²	1	1	yes	characteristic, complemented
65	#14583242	C₂²	1	2	yes	complemented
66	#14583236	C₂²	1	2	yes	complemented
67	#14583225	C₂²	1	2	yes	complemented
68	#14583223	C₂²	1	2	yes	complemented
69	#14583219	C₂²	1	2	yes	complemented
70	#14583194	C₂²	1	1	yes	characteristic, complemented
71	#14583189	C₂²	1	1	yes	characteristic, complemented
72	#14583139	C₂²	1	2	yes	complemented
73	#14583136	C₂²	1	2	yes	complemented
74	#14583136	C₂²	1	2	yes	complemented
75	#14583134	C₂²	1	2	yes	complemented
76	#14583131	C₂²	1	2	yes	complemented
77	#14583129	C₂²	1	2	yes	complemented
78	#14583129	C₂²	1	2	yes	complemented
79	#14583127	C₂²	1	2	yes	complemented
80	#14583115	C₂²	1	2	yes	complemented
81	#14583115	C₂²	1	2	yes	complemented
82	#14583109	C₂²	1	1	yes	characteristic, complemented
83	#14583104	C₂²	1	1	yes	characteristic, complemented
84	#14583099	C₂²	1	1	yes	characteristic, complemented
85	#14583099	C₂²	1	1	yes	characteristic, complemented
86	#14583094	C₂²	1	1	yes	characteristic, complemented
87	#14583094	C₂²	1	1	yes	characteristic, complemented
88	#14583064	C₂²	1	2	yes	complemented
89	#14583059	C₂²	1	2	yes	complemented
90	#14583053	C₂²	1	2	yes	complemented
91	#14583051	C₂²	1	2	yes	complemented
92	#14583048	C₂²	1	2	yes	complemented
93	#14583047	C₂²	1	2	yes	complemented
94	#14583047	C₂²	1	2	yes	complemented
95	#14583046	C₂²	1	2	yes	complemented
96	#14583046	C₂²	1	2	yes	complemented
97	#14583045	C₂²	1	2	yes	complemented
98	#14583044	C₂²	1	2	yes	complemented
99	#14583043	C₂²	1	2	yes	complemented
100	#14583042	C₂²	1	2	yes	complemented
101	#14583041	C₂²	1	2	yes	complemented
102	#14583039	C₂²	1	2	yes	complemented
103	#14583034	C₂²	1	2	yes	complemented
104	#14583034	C₂²	1	2	yes	complemented
105	C₄×#10621884	C₂²	1	2	yes	complemented
106	C₄×#10621882	C₂²	1	2	yes	complemented
107	C₈×D₁₇₂	C₂²	1	1	yes	characteristic
108	C₈×D₁₇₂	C₂²	1	1	yes	characteristic
109	C₈×D₁₇₂	C₂²	1	1	yes	characteristic, complemented
110	C₈×D₁₇₂	C₂²	1	1	yes	characteristic, complemented
111	#14582964	C₂²	1	2	yes	complemented
112	#14582964	C₂²	1	2	yes	complemented
113	#14582952	C₂²	1	1	yes	characteristic, complemented
114	#14582894	C₂²	1	2	yes	complemented
115	#14582892	C₂²	1	2	yes	complemented
116	#103×D₄₃	C₂²	1	2	yes	complemented
117	#102×D₄₃	C₂²	1	2	yes	complemented
118	C₂²⋊C₈×D₄₃	C₂²	1	2	yes	complemented
119	C₂²⋊C₈×D₄₃	C₂²	1	2	yes	complemented
120	C₄₃×#529	C₂²	1	1	yes	characteristic, complemented
121	C₄×#41×C₄₃	C₂²	1	1	yes	characteristic, complemented
122	C₄₃×#485	C₂²	1	1	yes	characteristic, complemented
123	C₄₃×#482	C₂²	1	1	yes	characteristic, complemented
124	C₄₃×#479	C₂²	1	1	yes	characteristic, complemented
125	C₄₃×#478	C₂²	1	1	yes	characteristic, complemented
126	C₄₃×#464	C₂²	1	1	yes	characteristic, complemented
127	C₄₃×#463	C₂²	1	1	yes	characteristic, complemented
128	C₄₃×#452	C₂²	1	1	yes	characteristic, complemented
129	C₄₃×#449	C₂²	1	1	yes	characteristic
130	C₄×Q₁₆×C₄₃	C₂²	1	1	yes	characteristic, complemented
131	C₄×SD₁₆×C₄₃	C₂²	1	1	yes	characteristic, complemented
132	C₄×SD₁₆×C₄₃	C₂²	1	1	yes	characteristic, complemented
133	C₄×D₈×C₄₃	C₂²	1	1	yes	characteristic, complemented
134	C₄₃×#431	C₂²	1	1	yes	characteristic, complemented
135	C₂×#10621902	C₂³	1	2	yes	—
136	C₂×#10621902	C₂³	1	2	yes	—
137	C₂×#10621898	—	2	1	no	—
138	C₂×#10621898	—	2	2	no	—
139	C₂×#10621898	C₂³	1	2	yes	—
140	C₂×#10621900	—	2	2	no	—
141	C₂×#10621900	C₂³	1	2	yes	—
142	#41×D₄₃	—	4	4	no	—
143	#41×D₄₃	—	4	4	no	—
144	C₂×Q₈×D₄₃	C₂³	1	2	yes	—
145	C₂²×D₁₇₂	—	2	1	no	—
146	C₂²×D₁₇₂	—	2	1	no	—
147	C₂²×D₁₇₂	D₄	1	1	yes	characteristic
148	C₂×D₄×D₄₃	—	2	2	no	—
149	C₂×D₄×D₄₃	—	2	2	no	—
150	C₂×D₄×D₄₃	C₂³	1	2	yes	—
151	C₂×D₄×D₄₃	C₂³	1	2	yes	—
152	C₂²×C₄×D₄₃	—	2	2	no	—
153	C₂²×C₄×D₄₃	C₂³	1	2	yes	—
154	#13063348	—	4	4	no	—
155	#13063346	—	4	4	no	—
156	C₂×#10621885	C₂³	1	2	yes	—
157	C₂×#10621873	C₂³	1	2	yes	—
158	C₂×#10621873	C₂³	1	2	yes	—
159	C₂×#10621883	C₂³	1	2	yes	—
160	C₂×#10621884	C₂³	1	2	yes	—
161	C₂×#10621884	C₂³	1	2	yes	—
162	SD₁₆×D₄₃	—	4	4	no	—
163	C₂×D₃₄₄	C₂³	1	2	yes	—
164	C₂×D₃₄₄	C₂³	1	2	yes	—
165	C₂×#10621882	C₂³	1	2	yes	—
166	C₂×#10621882	C₂³	1	2	yes	—
167	D₈×D₄₃	—	4	4	no	—
168	C₂×C₈×D₄₃	C₂³	1	2	yes	—
169	C₂×C₈×D₄₃	C₂³	1	2	yes	—
170	C₂×C₈×D₄₃	C₂³	1	2	yes	—
171	C₂×C₈×D₄₃	C₂³	1	2	yes	—
172	#13063325	—	2	1	no	—
173	#13063325	C₂³	1	1	yes	characteristic
174	#13063325	C₂³	1	1	yes	characteristic
175	#13063322	—	2	1	no	—
176	#13063322	—	2	1	no	—
177	#13063322	C₂³	1	1	yes	characteristic
178	#13063322	C₂³	1	1	yes	characteristic
179	#13063320	—	2	2	no	—
180	#13063317	—	2	1	no	—
181	#13063313	—	2	1	no	—
182	#13063313	—	2	2	no	—
183	#13063313	C₂³	1	2	yes	—
184	#13063311	—	2	2	no	—
185	#13063310	—	2	2	no	—
186	#13063310	—	2	2	no	—
187	#13063309	—	2	2	no	—
188	#13063309	—	2	2	no	—
189	#13063309	—	2	2	no	—
190	#13063307	—	2	2	no	—
191	#13063305	—	2	2	no	—
192	#13063305	—	2	2	no	—
193	#13063305	C₂³	1	2	yes	—
194	#13063305	C₂³	1	2	yes	—
195	#13063303	—	2	2	no	—
196	#13063301	C₂³	1	2	yes	—
197	#13063300	—	2	2	no	—
198	#13063300	—	2	2	no	—
199	#13063300	—	2	2	no	—
200	#13063300	—	2	2	no	—
201	#13063300	C₂³	1	2	yes	—
202	#13063300	C₂³	1	2	yes	—
203	#13063300	C₂³	1	2	yes	—
204	#13063300	C₂³	1	2	yes	—
205	#13063299	—	2	1	no	—
206	#13063299	—	2	1	no	—
207	#13063299	—	2	1	no	—
208	#13063299	—	2	1	no	—
209	#13063299	—	2	1	no	—
210	#13063299	—	2	2	no	—
211	#13063299	—	2	1	no	—
212	#13063299	—	2	1	no	—
213	#13063299	C₂³	1	2	yes	—
214	#13063298	—	2	2	no	—
215	#13063298	—	2	2	no	—
216	#13063297	—	2	2	no	—
217	#13063296	C₂³	1	2	yes	—
218	#13063295	—	2	2	no	—
219	#13063295	—	2	2	no	—
220	#13063295	—	2	2	no	—
221	#13063295	—	2	2	no	—
222	#13063295	—	2	2	no	—
223	#13063295	—	2	2	no	—
224	C₄×D₁₇₂	—	2	1	no	—
225	C₄×D₁₇₂	—	2	1	no	—
226	C₄×D₁₇₂	—	2	2	no	—
227	C₄×D₁₇₂	—	2	2	no	—
228	C₄×D₁₇₂	—	2	1	no	—
229	C₄×D₁₇₂	—	2	1	no	—
230	C₄×D₁₇₂	—	2	1	no	—
231	C₄×D₁₇₂	—	2	2	no	—
232	C₄×D₁₇₂	—	2	1	no	—
233	C₄×D₁₇₂	—	2	1	no	—
234	C₄×D₁₇₂	D₄	1	1	yes	characteristic
235	C₄×D₁₇₂	D₄	1	2	yes	—
236	C₄×D₁₇₂	D₄	1	1	yes	characteristic
237	C₄×D₁₇₂	C₂³	1	1	yes	characteristic
238	C₄×D₁₇₂	C₂³	1	2	yes	—
239	C₄×D₁₇₂	C₂³	1	1	yes	characteristic
240	C₄×D₁₇₂	C₂³	1	2	yes	—
241	#13063287	—	2	2	no	—
242	#13063287	—	2	2	no	—
243	(C₂²⋊D₄₃)⋊C₄	—	2	2	no	—
244	#13063284	—	2	1	no	—
245	#13063283	C₂³	1	2	yes	—
246	C₂×C₄⋊Dic₄₃	—	2	1	no	—
247	C₂×C₄⋊Dic₄₃	D₄	1	1	yes	characteristic
248	C₄⋊C₄×D₄₃	C₂³	1	2	yes	—
249	C₂×(C₂×D₄₃)⋊C₄	—	2	2	no	—
250	C₂×(C₂×D₄₃)⋊C₄	D₄	1	2	yes	—
251	C₂²⋊C₄×D₄₃	—	2	2	no	—
252	C₂²⋊C₄×D₄₃	—	2	2	no	—
253	#13063258	C₂³	1	2	yes	—
254	#13063256	C₂³	1	2	yes	—
255	C₄⋊(C₄₃⋊C₈)	C₂³	1	1	yes	characteristic
256	C₄⋊(C₄₃⋊C₈)	C₂³	1	1	yes	characteristic
257	#13063250	C₂³	1	2	yes	—
258	#13063250	C₂³	1	2	yes	—
259	#13063249	C₂³	1	2	yes	—
260	#13063248	C₂³	1	2	yes	—
261	#13063248	C₂³	1	2	yes	—
262	#13063247	C₂³	1	2	yes	—
263	#13063247	C₂³	1	2	yes	—
264	#13063246	C₂³	1	2	yes	—
265	#13063245	C₂³	1	2	yes	—
266	#13063245	C₂³	1	2	yes	—
267	#13063245	C₂³	1	2	yes	—
268	#13063245	C₂³	1	2	yes	—
269	C₂²⋊(C₄₃⋊C₈)	C₂³	1	2	yes	—
270	(C₂×D₄₃)⋊C₈	C₂³	1	2	yes	—
271	(C₂×D₄₃)⋊C₈	C₂³	1	2	yes	—
272	(C₂×D₄₃)⋊C₈	C₂³	1	2	yes	—
273	(C₂×D₄₃)⋊C₈	C₂³	1	2	yes	—
274	C₄×C₄₃⋊C₈	C₂³	1	2	yes	—
275	C₂×#41×C₄₃	C₂³	1	1	yes	characteristic
276	C₂×Q₁₆×C₄₃	C₂³	1	1	yes	characteristic
277	C₂×SD₁₆×C₄₃	C₂³	1	1	yes	characteristic
278	C₂×SD₁₆×C₄₃	C₂³	1	1	yes	characteristic
279	C₂×D₈×C₄₃	C₂³	1	1	yes	characteristic
280	#126×C₄₃	—	2	1	no	—
281	#125×C₄₃	C₂³	1	1	yes	characteristic
282	#124×C₄₃	C₂³	1	1	yes	characteristic
283	#123×C₄₃	—	2	1	no	—
284	C₂²⋊Q₈×C₄₃	C₂³	1	1	yes	characteristic
285	#121×C₄₃	C₂³	1	1	yes	characteristic
286	C₄×Q₈×C₄₃	C₂³	1	1	yes	characteristic
287	C₄×Q₈×C₄₃	C₂³	1	1	yes	characteristic
288	C₄×Q₈×C₄₃	C₂³	1	1	yes	characteristic
289	C₄×D₄×C₄₃	—	2	1	no	—
290	C₄×D₄×C₄₃	—	2	1	no	—
291	C₄×D₄×C₄₃	—	2	1	no	—
292	C₄×D₄×C₄₃	C₂³	1	1	yes	characteristic
293	C₄×D₄×C₄₃	C₂³	1	1	yes	characteristic
294	C₄×D₄×C₄₃	C₂³	1	1	yes	characteristic
295	#117×C₄₃	—	2	1	no	—
296	#117×C₄₃	—	2	1	no	—
297	#117×C₄₃	C₂³	1	1	yes	characteristic
298	C₂×C₄²×C₄₃	—	2	1	no	—
299	C₂×C₄²×C₄₃	C₂³	1	1	yes	characteristic
300	#107×C₄₃	C₂³	1	1	yes	characteristic
301	#107×C₄₃	C₂³	1	1	yes	characteristic
302	#106×C₄₃	C₂³	1	1	yes	characteristic
303	#106×C₄₃	C₂³	1	1	yes	characteristic
304	C₄⋊C₈×C₄₃	C₂³	1	1	yes	characteristic
305	C₄⋊C₈×C₄₃	C₂³	1	1	yes	characteristic
306	#103×C₄₃	C₂³	1	1	yes	characteristic
307	#103×C₄₃	C₂³	1	1	yes	characteristic
308	#103×C₄₃	C₂³	1	1	yes	characteristic
309	#103×C₄₃	C₂³	1	1	yes	characteristic
310	#102×C₄₃	C₂³	1	1	yes	characteristic
311	#102×C₄₃	C₂³	1	1	yes	characteristic
312	#102×C₄₃	C₂³	1	1	yes	characteristic
313	#102×C₄₃	C₂³	1	1	yes	characteristic
314	C₂²⋊C₈×C₄₃	C₂³	1	1	yes	characteristic
315	C₂²⋊C₈×C₄₃	C₂³	1	1	yes	characteristic
316	C₄×C₈×C₄₃	C₂³	1	1	yes	characteristic
317	C₄×C₈×C₄₃	C₂³	1	1	yes	characteristic
318	C₂³×D₄₃	—	2	2	no	—
319	C₂³×D₄₃	—	2	2	no	—
320	C₂³×D₄₃	C₂×D₄	1	2	yes	—
321	#41×C₄₃	—	2	2	no	—
322	#41×C₄₃	—	2	2	no	—
323	C₂×Q₈×C₄₃	C₂⁴	1	1	yes	characteristic
324	C₂×Q₈×C₄₃	C₂⁴	1	1	yes	characteristic
325	C₂×D₄×C₄₃	—	2	1	no	—
326	C₂×D₄×C₄₃	—	2	1	no	—
327	C₂×D₄×C₄₃	C₂⁴	1	1	yes	characteristic
328	C₂×D₄×C₄₃	C₂⁴	1	1	yes	characteristic
329	C₂²×C₄×C₄₃	—	2	1	no	—
330	C₂²×C₄×C₄₃	—	2	1	no	—
331	C₂²×C₄×C₄₃	—	2	1	no	—
332	C₂²×C₄×C₄₃	—	2	1	no	—
333	C₂²×C₄×C₄₃	C₂×D₄	1	1	yes	characteristic
334	C₂²×C₄×C₄₃	C₂×D₄	1	1	yes	characteristic
335	C₂²×C₄×C₄₃	C₂⁴	1	1	yes	characteristic
336	C₂×C₂²⋊D₄₃	—	2	2	no	—
337	C₂×C₂²⋊D₄₃	—	2	2	no	—
338	C₂×C₂²⋊D₄₃	—	2	2	no	—
339	C₂×C₂²⋊D₄₃	—	2	2	no	—
340	C₂×C₂²⋊D₄₃	—	2	2	no	—
341	C₂×C₂²⋊D₄₃	—	2	2	no	—
342	C₂²×Dic₄₃	—	2	2	no	—
343	C₂²×Dic₄₃	C₂×D₄	1	2	yes	—
344	#10621902	—	2	4	no	—
345	#10621902	—	4	2	no	—
346	#10621902	—	4	2	no	—
347	#10621902	—	4	2	no	—
348	Q₈×D₄₃	—	2	4	no	—
349	Q₈×D₄₃	—	4	2	no	—
350	#10621900	—	2	4	no	—
351	#10621900	—	4	2	no	—
352	#10621900	—	4	8	no	—
353	D₄×D₄₃	—	2	4	no	—
354	D₄×D₄₃	—	4	2	no	—
355	D₄×D₄₃	—	4	8	no	—
356	D₄×D₄₃	—	4	2	no	—
357	D₄×D₄₃	—	4	2	no	—
358	D₄×D₄₃	—	8	4	no	—
359	#10621898	—	4	2	no	—
360	#10621898	—	4	2	no	—
361	#10621898	—	4	8	no	—
362	#10621898	—	8	2	no	—
363	C₂×D₁₇₂	—	2	4	no	—
364	C₂×D₁₇₂	—	2	1	no	—
365	C₂×D₁₇₂	—	2	1	no	—
366	C₂×D₁₇₂	—	2	1	no	—
367	C₂×D₁₇₂	—	2	1	no	—
368	C₂×D₁₇₂	—	2	2	no	—
369	C₂×D₁₇₂	—	2	2	no	—
370	C₂×D₁₇₂	—	2	2	no	—
371	C₂×D₁₇₂	—	2	2	no	—
372	C₂×D₁₇₂	—	2	2	no	—
373	C₂×D₁₇₂	—	2	2	no	—
374	C₂×D₁₇₂	—	4	4	no	—
375	C₂×D₁₇₂	—	4	4	no	—
376	C₂×D₁₇₂	C₂×D₄	1	2	yes	—
377	C₂×D₁₇₂	C₂×D₄	1	1	yes	characteristic
378	C₂×D₁₇₂	C₂×D₄	1	1	yes	characteristic
379	C₂×D₁₇₂	C₂⁴	1	2	yes	—
380	C₂×D₁₇₂	C₂⁴	1	2	yes	—
381	C₂×C₄×D₄₃	—	2	2	no	—
382	C₂×C₄×D₄₃	—	2	2	no	—
383	C₂×C₄×D₄₃	—	2	2	no	—
384	C₂×C₄×D₄₃	—	2	2	no	—
385	C₂×C₄×D₄₃	—	2	2	no	—
386	C₂×C₄×D₄₃	—	2	2	no	—
387	C₂×C₄×D₄₃	—	4	2	no	—
388	C₂×C₄×D₄₃	—	4	2	no	—
389	C₂×C₄×D₄₃	—	4	8	no	—
390	C₂×C₄×D₄₃	C₂×D₄	1	2	yes	—
391	C₂×C₄×D₄₃	C₂×D₄	1	2	yes	—
392	C₂×C₄×D₄₃	C₂⁴	1	2	yes	—
393	C₂×C₄×D₄₃	C₂⁴	1	2	yes	—
394	C₂×Dic₈₆	—	2	2	no	—
395	C₂×Dic₈₆	—	2	1	no	—
396	C₂×Dic₈₆	C₂⁴	1	2	yes	—
397	Q₁₆×C₄₃	—	2	2	no	—
398	SD₁₆×C₄₃	—	2	2	no	—
399	SD₁₆×C₄₃	—	2	2	no	—
400	D₈×C₄₃	—	2	2	no	—
401	C₂×C₈×C₄₃	C₂⁴	1	1	yes	characteristic
402	C₂×C₈×C₄₃	C₂⁴	1	1	yes	characteristic
403	C₂×C₈×C₄₃	C₂⁴	1	1	yes	characteristic
404	C₂×C₈×C₄₃	C₂⁴	1	1	yes	characteristic
405	C₄⋊C₄×C₄₃	—	2	1	no	—
406	C₄⋊C₄×C₄₃	—	2	1	no	—
407	C₄⋊C₄×C₄₃	—	2	1	no	—
408	C₄⋊C₄×C₄₃	—	2	1	no	—
409	C₄⋊C₄×C₄₃	—	2	1	no	—
410	C₄⋊C₄×C₄₃	—	2	1	no	—
411	C₄⋊C₄×C₄₃	C₂⁴	1	1	yes	characteristic
412	C₄⋊C₄×C₄₃	C₂⁴	1	1	yes	characteristic
413	C₄⋊C₄×C₄₃	C₂⁴	1	1	yes	characteristic
414	C₄⋊C₄×C₄₃	C₂⁴	1	1	yes	characteristic
415	C₂²⋊C₄×C₄₃	—	2	1	no	—
416	C₂²⋊C₄×C₄₃	—	2	1	no	—
417	C₂²⋊C₄×C₄₃	—	2	1	no	—
418	C₂²⋊C₄×C₄₃	—	2	1	no	—
419	C₂²⋊C₄×C₄₃	—	2	1	no	—
420	C₂²⋊C₄×C₄₃	—	2	1	no	—
421	C₂²⋊C₄×C₄₃	—	2	1	no	—
422	C₂²⋊C₄×C₄₃	—	2	1	no	—
423	C₄²×C₄₃	—	2	1	no	—
424	C₄²×C₄₃	—	2	1	no	—
425	C₄²×C₄₃	—	2	1	no	—
426	C₄²×C₄₃	—	2	1	no	—
427	C₄²×C₄₃	C₂×D₄	1	1	yes	characteristic
428	C₄²×C₄₃	C₂×D₄	1	1	yes	characteristic
429	C₄²×C₄₃	C₂⁴	1	1	yes	characteristic
430	C₄²×C₄₃	C₂⁴	1	1	yes	characteristic
431	C₂²⋊Dic₄₃	—	2	2	no	—
432	#10621885	—	4	2	no	—
433	#10621884	—	2	4	no	—
434	#10621884	—	4	2	no	—
435	#10621883	—	4	2	no	—
436	#10621882	—	2	4	no	—
437	#10621882	—	4	2	no	—
438	(C₂×D₄₃)⋊C₄	—	2	2	no	—
439	(C₂×D₄₃)⋊C₄	—	2	2	no	—
440	(C₂×D₄₃)⋊C₄	—	2	2	no	—
441	(C₂×D₄₃)⋊C₄	—	2	2	no	—
442	(C₂×D₄₃)⋊C₄	—	2	2	no	—
443	(C₂×D₄₃)⋊C₄	—	2	2	no	—
444	(C₂×D₄₃)⋊C₄	—	2	2	no	—
445	(C₂×D₄₃)⋊C₄	—	2	2	no	—
446	(C₂×D₄₃)⋊C₄	—	2	2	no	—
447	(C₂×D₄₃)⋊C₄	—	2	2	no	—
448	(C₂×D₄₃)⋊C₄	—	2	2	no	—
449	(C₂×D₄₃)⋊C₄	—	2	2	no	—
450	(C₂×D₄₃)⋊C₄	C₂×D₄	1	2	yes	—
451	(C₂×D₄₃)⋊C₄	C₂×D₄	1	2	yes	—
452	(C₂×D₄₃)⋊C₄	C₂×D₄	1	2	yes	—
453	(C₂×D₄₃)⋊C₄	C₂×D₄	1	2	yes	—
454	C₄⋊Dic₄₃	—	2	1	no	—
455	C₄⋊Dic₄₃	—	2	1	no	—
456	C₄⋊Dic₄₃	—	2	1	no	—
457	C₄⋊Dic₄₃	—	2	2	no	—
458	C₄⋊Dic₄₃	—	2	2	no	—
459	C₄⋊Dic₄₃	C₂×D₄	1	1	yes	characteristic
460	C₄⋊Dic₄₃	C₂×D₄	1	1	yes	characteristic
461	C₄⋊Dic₄₃	C₂×D₄	1	2	yes	—
462	C₄⋊Dic₄₃	C₂⁴	1	2	yes	—
463	Dic₄₃⋊C₄	—	2	2	no	—
464	Dic₄₃⋊C₄	—	2	2	no	—
465	C₄×Dic₄₃	—	2	2	no	—
466	C₂×C₄₃⋊C₈	C₂⁴	1	2	yes	—
467	C₂×C₄₃⋊C₈	C₂⁴	1	2	yes	—
468	D₃₄₄	—	4	2	no	—
469	D₃₄₄	—	4	2	no	—
470	#10621873	—	4	2	no	—
471	#10621873	—	4	2	no	—
472	C₈×D₄₃	—	4	2	no	—
473	C₈×D₄₃	—	4	2	no	—
474	C₈×D₄₃	—	4	2	no	—
475	C₈×D₄₃	—	4	2	no	—
476	C₂³×C₄₃	—	2	1	no	—
477	C₂³×C₄₃	—	2	1	no	—
478	C₂³×C₄₃	C₂²×D₄	1	1	yes	characteristic
479	C₂²×D₄₃	—	2	4	no	—
480	C₂²×D₄₃	—	2	2	no	—
481	C₂²×D₄₃	—	2	2	no	—
482	C₂²×D₄₃	—	4	2	no	—
483	C₂²×D₄₃	—	4	2	no	—
484	C₂²×D₄₃	—	4	4	no	—
485	C₂²×D₄₃	—	4	4	no	—
486	C₂²×D₄₃	—	4	4	no	—
487	C₂²×D₄₃	—	8	2	no	—
488	C₂²×D₄₃	—	8	2	no	—
489	C₂²×D₄₃	—	8	2	no	—
490	C₂²×D₄₃	C₂²×D₄	1	2	yes	—
491	C₂²×D₄₃	C₂²×D₄	1	2	yes	—
492	Q₈×C₄₃	—	2	1	no	—
493	Q₈×C₄₃	—	2	1	no	—
494	Q₈×C₄₃	—	2	1	no	—
495	Q₈×C₄₃	H(5,𝔽₂)	1	2	yes	—
496	D₄×C₄₃	—	2	4	no	—
497	D₄×C₄₃	—	2	1	no	—
498	D₄×C₄₃	—	2	1	no	—
499	D₄×C₄₃	—	2	1	no	—
500	D₄×C₄₃	—	4	2	no	—
501	D₄×C₄₃	H(5,𝔽₂)	1	2	yes	—
502	C₂×C₄×C₄₃	—	2	4	no	—
503	C₂×C₄×C₄₃	—	2	1	no	—
504	C₂×C₄×C₄₃	—	2	2	no	—
505	C₂×C₄×C₄₃	—	2	1	no	—
506	C₂×C₄×C₄₃	—	2	1	no	—
507	C₂×C₄×C₄₃	—	2	1	no	—
508	C₂×C₄×C₄₃	—	2	1	no	—
509	C₂×C₄×C₄₃	—	2	1	no	—
510	C₂×C₄×C₄₃	—	2	1	no	—
511	C₂×C₄×C₄₃	—	2	1	no	—
512	C₂×C₄×C₄₃	—	4	1	no	—
513	C₂×C₄×C₄₃	—	4	2	no	—
514	C₂×C₄×C₄₃	—	4	2	no	—
515	C₂×C₄×C₄₃	—	8	1	no	—
516	C₂×C₄×C₄₃	C₂²×D₄	1	1	yes	characteristic
517	C₂×C₄×C₄₃	C₂²×D₄	1	1	yes	characteristic
518	C₂×C₄×C₄₃	C₂²×D₄	1	1	yes	characteristic
519	C₂×C₄×C₄₃	C₂²×D₄	1	1	yes	characteristic
520	C₂×C₄×C₄₃	C₂²×D₄	1	1	yes	characteristic
521	C₂×C₄×C₄₃	C₂⁵	1	1	yes	characteristic
522	C₂²⋊D₄₃	—	4	4	no	—
523	C₂²⋊D₄₃	—	4	4	no	—
524	C₂²⋊D₄₃	—	4	4	no	—
525	C₂²⋊D₄₃	—	4	4	no	—
526	C₂²⋊D₄₃	—	8	2	no	—
527	C₂²⋊D₄₃	—	8	2	no	—
528	C₂×Dic₄₃	—	2	2	no	—
529	C₂×Dic₄₃	—	2	2	no	—
530	C₂×Dic₄₃	—	4	2	no	—
531	C₂×Dic₄₃	—	4	4	no	—
532	C₂×Dic₄₃	C₂²×D₄	1	2	yes	—
533	C₂×Dic₄₃	C₂²×D₄	1	2	yes	—
534	D₁₇₂	—	2	4	no	—
535	D₁₇₂	—	2	2	no	—
536	D₁₇₂	—	2	2	no	—
537	D₁₇₂	—	2	2	no	—
538	D₁₇₂	—	2	2	no	—
539	D₁₇₂	—	2	2	no	—
540	D₁₇₂	—	4	4	no	—
541	D₁₇₂	—	4	4	no	—
542	D₁₇₂	—	4	4	no	—
543	D₁₇₂	—	4	2	no	—
544	D₁₇₂	—	4	2	no	—
545	D₁₇₂	—	8	1	no	—
546	D₁₇₂	—	8	1	no	—
547	D₁₇₂	—	8	2	no	—
548	D₁₇₂	—	8	2	no	—
549	D₁₇₂	—	8	2	no	—
550	D₁₇₂	#135	1	4	yes	complemented
551	C₄×D₄₃	—	2	2	no	—
552	C₄×D₄₃	—	2	2	no	—
553	C₄×D₄₃	—	2	2	no	—
554	C₄×D₄₃	—	2	2	no	—
555	C₄×D₄₃	—	4	2	no	—
556	C₄×D₄₃	—	4	2	no	—
557	C₄×D₄₃	—	4	4	no	—
558	C₄×D₄₃	—	4	4	no	—
559	C₄×D₄₃	—	4	4	no	—
560	C₄×D₄₃	—	8	2	no	—
561	C₄×D₄₃	—	8	2	no	—
562	C₄×D₄₃	—	8	2	no	—
563	Dic₈₆	—	2	2	no	—
564	Dic₈₆	—	2	2	no	—
565	Dic₈₆	—	4	4	no	—
566	Dic₈₆	—	8	1	no	—
567	C₈×C₄₃	—	2	1	no	—
568	C₈×C₄₃	—	2	1	no	—
569	C₈×C₄₃	—	2	1	no	—
570	C₈×C₄₃	—	2	1	no	—
571	C₄₃⋊C₈	—	2	2	no	—
572	C₄₃⋊C₈	—	2	2	no	—
573	#61567	—	43	1	no	maximal, Sylow
574	C₂²×C₄₃	—	2	1	no	—
575	C₂²×C₄₃	—	2	2	no	—
576	C₂²×C₄₃	—	2	1	no	—
577	C₂²×C₄₃	—	2	1	no	—
578	C₂²×C₄₃	—	4	1	no	—
579	C₂²×C₄₃	—	4	1	no	—
580	C₂²×C₄₃	—	4	1	no	—
581	C₂²×C₄₃	—	4	1	no	—
582	C₂²×C₄₃	—	4	1	no	—
583	C₂²×C₄₃	C₂³×D₄	1	1	yes	characteristic
584	C₂×D₄₃	—	2	2	no	—
585	C₂×D₄₃	—	2	2	no	—
586	C₂×D₄₃	—	2	2	no	—
587	C₂×D₄₃	—	2	2	no	—
588	C₂×D₄₃	—	2	2	no	—
589	C₂×D₄₃	—	4	2	no	—
590	C₂×D₄₃	—	4	2	no	—
591	C₂×D₄₃	—	4	2	no	—
592	C₂×D₄₃	—	4	2	no	—
593	C₂×D₄₃	—	4	2	no	—
594	C₂×D₄₃	—	4	2	no	—
595	C₂×D₄₃	—	8	4	no	—
596	C₂×D₄₃	—	8	8	no	—
597	C₂×D₄₃	—	16	4	no	—
598	C₂×D₄₃	C₂×#135	1	4	yes	—
599	C₄×C₄₃	—	2	1	no	—
600	C₄×C₄₃	—	2	1	no	—
601	C₄×C₄₃	—	2	2	no	—
602	C₄×C₄₃	—	2	1	no	—
603	C₄×C₄₃	—	2	1	no	—
604	C₄×C₄₃	—	4	1	no	—
605	C₄×C₄₃	—	4	1	no	—
606	C₄×C₄₃	—	4	1	no	—
607	C₄×C₄₃	—	4	1	no	—
608	C₄×C₄₃	—	4	1	no	—
609	C₄×C₄₃	C₂×#135	1	2	yes	—
610	C₄×C₄₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
611	C₄×C₄₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
612	Dic₄₃	—	2	2	no	—
613	Dic₄₃	—	2	2	no	—
614	Dic₄₃	—	4	2	no	—
615	Dic₄₃	—	4	2	no	—
616	#3519	—	43	1	no	—
617	D₄×#41	—	43	1	no	—
618	#3305	—	43	1	no	—
619	#3303	—	43	1	no	—
620	#3301	—	43	2	no	—
621	#3299	—	43	1	no	—
622	#3297	—	43	2	no	—
623	#3295	—	43	1	no	—
624	#3287	—	43	1	no	—
625	#3284	—	43	1	no	—
626	#3282	—	43	2	no	—
627	D₄×SD₁₆	—	43	1	no	—
628	#3280	—	43	2	no	—
629	D₄×D₈	—	43	1	no	—
630	#3212	—	43	1	no	—
631	#3207	—	43	1	no	—
632	#3191	—	43	2	no	—
633	#3188	—	43	2	no	—
634	#3106	—	43	1	no	—
635	#3102	D₄₃	1	1	yes	characteristic, complemented
636	#3002	—	43	2	no	—
637	C₂×#449	—	43	2	no	—
638	#2972	—	43	1	no	—
639	C₂×C₄₃	—	4	1	no	—
640	C₂×C₄₃	—	4	2	no	—
641	C₂×C₄₃	—	8	1	no	—
642	C₂×C₄₃	#3484	1	1	yes	characteristic
643	C₂×C₄₃	C₂²×#135	1	1	yes	characteristic
644	C₂×C₄₃	#3585	1	1	yes	characteristic
645	D₄₃	—	2	4	no	—
646	D₄₃	—	4	2	no	—
647	D₄₃	—	8	2	no	—
648	D₄₃	—	8	2	no	—
649	C₂²×#41	—	43	2	no	—
650	C₂×#135	—	43	2	no	—
651	C₂×#135	—	43	2	no	—
652	C₂²×SD₁₆	—	43	2	no	—
653	C₂²×D₈	—	43	2	no	—
654	#555	—	43	1	no	—
655	#554	—	43	1	no	—
656	#553	—	43	2	no	—
657	#553	—	86	1	no	—
658	#550	—	43	1	no	—
659	#550	—	43	1	no	—
660	D₄×Q₈	—	43	1	no	—
661	#548	—	43	2	no	—
662	#547	—	43	1	no	—
663	#547	—	86	1	no	—
664	#546	—	43	2	no	—
665	#546	—	43	2	no	—
666	#546	—	86	2	no	—
667	#546	—	86	2	no	—
668	D₄²	—	43	1	no	—
669	D₄²	—	43	1	no	—
670	D₄²	—	86	1	no	—
671	D₄²	—	86	1	no	—
672	#540	—	86	1	no	—
673	#538	—	86	2	no	—
674	#532	—	43	1	no	—
675	#532	—	43	1	no	—
676	#532	—	86	1	no	—
677	#529	C₂×D₄₃	1	1	yes	characteristic, complemented
678	#525	—	43	2	no	—
679	#525	—	43	2	no	—
680	#525	—	86	2	no	—
681	C₂×#121	—	43	2	no	—
682	#518	—	86	1	no	—
683	C₄×#41	C₂×D₄₃	1	1	yes	characteristic, complemented
684	C₂×C₄×D₄	—	43	1	no	—
685	C₂×C₄×D₄	—	86	1	no	—
686	#495	—	43	2	no	—
687	#493	—	43	1	no	—
688	#492	—	43	1	no	—
689	#488	—	43	2	no	—
690	#487	—	43	1	no	—
691	#486	—	43	1	no	—
692	#485	—	43	2	no	—
693	#485	C₂×D₄₃	1	1	yes	characteristic, complemented
694	#484	—	43	2	no	—
695	#482	—	43	2	no	—
696	#482	—	43	2	no	—
697	#482	C₂×D₄₃	1	1	yes	characteristic, complemented
698	#481	—	43	2	no	—
699	#479	C₂×D₄₃	1	1	yes	characteristic, complemented
700	#478	C₂×D₄₃	1	1	yes	characteristic, complemented
701	#477	—	43	1	no	—
702	#476	—	43	1	no	—
703	#467	—	43	2	no	—
704	#466	—	43	2	no	—
705	#466	—	43	2	no	—
706	#466	—	43	2	no	—
707	#465	—	43	2	no	—
708	#465	—	43	2	no	—
709	#465	—	43	2	no	—
710	#465	—	43	2	no	—
711	#464	C₂×D₄₃	1	1	yes	characteristic, complemented
712	#463	—	43	2	no	—
713	#463	—	43	2	no	—
714	#463	C₂×D₄₃	1	1	yes	characteristic, complemented
715	#462	—	43	1	no	—
716	#461	—	43	1	no	—
717	#460	—	43	1	no	—
718	#460	—	43	1	no	—
719	#459	—	43	1	no	—
720	#459	—	43	1	no	—
721	#452	—	43	2	no	—
722	#452	—	43	2	no	—
723	#452	C₂×D₄₃	1	1	yes	characteristic, complemented
724	#451	—	43	2	no	—
725	#450	—	43	2	no	—
726	#450	—	43	2	no	—
727	#449	—	43	2	no	—
728	#449	—	43	2	no	—
729	#449	—	43	2	no	—
730	#449	—	43	2	no	—
731	#449	—	43	2	no	—
732	#449	—	43	2	no	—
733	#449	—	43	2	no	—
734	#449	—	43	2	no	—
735	#449	—	43	2	no	—
736	#449	C₂×D₄₃	1	1	yes	characteristic
737	#448	—	43	2	no	—
738	#447	—	43	2	no	—
739	#447	—	43	2	no	—
740	C₄×Q₁₆	C₂×D₄₃	1	1	yes	characteristic, complemented
741	C₄×SD₁₆	—	43	2	no	—
742	C₄×SD₁₆	C₂×D₄₃	1	1	yes	characteristic, complemented
743	C₄×SD₁₆	C₂×D₄₃	1	1	yes	characteristic, complemented
744	C₄×D₈	—	43	2	no	—
745	C₄×D₈	C₂×D₄₃	1	1	yes	characteristic, complemented
746	C₈×D₄	—	43	2	no	—
747	C₈×D₄	—	43	2	no	—
748	C₈×D₄	—	43	1	no	—
749	C₈×D₄	—	43	1	no	—
750	C₈×D₄	—	43	1	no	—
751	C₈×D₄	—	43	1	no	—
752	#431	—	43	1	no	—
753	#431	C₂×D₄₃	1	1	yes	characteristic, complemented
754	#416	—	43	2	no	—
755	#416	—	43	2	no	—
756	C₂×#103	—	43	2	no	—
757	C₂×#102	—	43	2	no	—
758	C₂×C₂²⋊C₈	—	43	2	no	—
759	C₂×C₂²⋊C₈	—	43	2	no	—
760	C₄₃	#61567	1	1	yes	characteristic, complemented, Sylow
761	C₂×#41	—	43	2	no	—
762	C₂×#41	—	43	2	no	—
763	C₂×#41	—	43	2	no	—
764	C₂×#41	—	43	2	no	—
765	C₂×#41	—	86	2	no	—
766	C₂×#41	—	86	2	no	—
767	C₂×#41	—	86	1	no	—
768	C₂×#41	—	172	4	no	—
769	C₂×#41	—	172	4	no	—
770	C₂×#41	C₂²×D₄₃	1	1	yes	characteristic
771	C₂²×Q₈	—	43	2	no	—
772	C₂²×D₄	—	43	2	no	—
773	C₂²×D₄	—	43	2	no	—
774	C₂²×D₄	—	43	1	no	—
775	C₂²×D₄	—	86	1	no	—
776	C₂²×D₄	—	86	1	no	—
777	C₂²×D₄	—	86	2	no	—
778	C₂²×D₄	—	86	2	no	—
779	C₂³×C₄	—	43	2	no	—
780	C₂³×C₄	—	86	2	no	—
781	#135	—	172	4	no	—
782	#135	—	172	4	no	—
783	C₂×Q₁₆	—	43	2	no	—
784	C₂×Q₁₆	C₂²×D₄₃	1	1	yes	characteristic
785	C₂×SD₁₆	—	43	2	no	—
786	C₂×SD₁₆	—	43	2	no	—
787	C₂×SD₁₆	—	43	2	no	—
788	C₂×SD₁₆	—	43	2	no	—
789	C₂×SD₁₆	—	43	2	no	—
790	C₂×SD₁₆	—	172	4	no	—
791	C₂×SD₁₆	C₂²×D₄₃	1	1	yes	characteristic
792	C₂×SD₁₆	C₂²×D₄₃	1	1	yes	characteristic
793	C₂×D₈	—	43	2	no	—
794	C₂×D₈	—	43	2	no	—
795	C₂×D₈	—	43	2	no	—
796	C₂×D₈	—	43	2	no	—
797	C₂×D₈	—	172	4	no	—
798	C₂×D₈	C₂²×D₄₃	1	1	yes	characteristic
799	C₂²×C₈	—	43	2	no	—
800	C₂²×C₈	—	43	2	no	—
801	C₂²×C₈	—	43	2	no	—
802	C₂²×C₈	—	43	2	no	—
803	C₄⋊Q₈	—	43	1	no	—
804	C₄⋊Q₈	—	43	1	no	—
805	C₄⋊Q₈	—	86	1	no	—
806	#127	—	43	1	no	—
807	#127	—	43	1	no	—
808	#127	—	86	1	no	—
809	#127	—	86	1	no	—
810	#126	—	2	1	no	—
811	#126	—	86	2	no	—
812	#125	—	86	1	no	—
813	#125	C₂²×D₄₃	1	1	yes	characteristic
814	#124	—	43	2	no	—
815	#124	—	86	2	no	—
816	#124	—	86	2	no	—
817	#124	—	86	1	no	—
818	#124	C₂²×D₄₃	1	1	yes	characteristic
819	#123	—	2	1	no	—
820	#123	—	86	2	no	—
821	#123	—	86	2	no	—
822	#123	—	86	2	no	—
823	#123	—	86	2	no	—
824	#123	—	86	2	no	—
825	#123	—	86	2	no	—
826	C₂²⋊Q₈	—	43	2	no	—
827	C₂²⋊Q₈	—	43	2	no	—
828	C₂²⋊Q₈	—	43	2	no	—
829	C₂²⋊Q₈	—	86	2	no	—
830	C₂²⋊Q₈	—	86	2	no	—
831	C₂²⋊Q₈	—	86	2	no	—
832	C₂²⋊Q₈	C₂²×D₄₃	1	1	yes	characteristic
833	#121	—	43	2	no	—
834	#121	—	43	2	no	—
835	#121	—	43	2	no	—
836	#121	—	43	2	no	—
837	#121	—	43	2	no	—
838	#121	—	43	2	no	—
839	#121	—	86	2	no	—
840	#121	—	86	2	no	—
841	#121	—	86	2	no	—
842	#121	—	86	2	no	—
843	#121	—	86	2	no	—
844	#121	—	86	2	no	—
845	#121	—	86	2	no	—
846	#121	—	86	1	no	—
847	#121	—	86	1	no	—
848	#121	—	86	1	no	—
849	#121	—	86	1	no	—
850	#121	—	86	2	no	—
851	#121	—	86	1	no	—
852	#121	—	86	1	no	—
853	#121	—	86	1	no	—
854	#121	C₂²×D₄₃	1	1	yes	characteristic
855	#120	—	86	2	no	—
856	#120	—	86	2	no	—
857	#120	—	86	2	no	—
858	#120	—	86	2	no	—
859	#120	—	86	2	no	—
860	#120	—	86	2	no	—
861	C₄×Q₈	C₂²×D₄₃	1	1	yes	characteristic
862	C₄×Q₈	C₂²×D₄₃	1	1	yes	characteristic
863	C₄×Q₈	C₂²×D₄₃	1	1	yes	characteristic
864	C₄×D₄	—	2	1	no	—
865	C₄×D₄	—	2	1	no	—
866	C₄×D₄	—	2	1	no	—
867	C₄×D₄	—	43	1	no	—
868	C₄×D₄	—	43	2	no	—
869	C₄×D₄	—	43	1	no	—
870	C₄×D₄	—	43	1	no	—
871	C₄×D₄	—	43	2	no	—
872	C₄×D₄	—	43	1	no	—
873	C₄×D₄	—	43	2	no	—
874	C₄×D₄	—	86	2	no	—
875	C₄×D₄	—	86	1	no	—
876	C₄×D₄	—	86	1	no	—
877	C₄×D₄	—	86	2	no	—
878	C₄×D₄	—	86	2	no	—
879	C₄×D₄	—	86	1	no	—
880	C₄×D₄	—	86	1	no	—
881	C₄×D₄	—	86	2	no	—
882	C₄×D₄	—	86	2	no	—
883	C₄×D₄	—	86	2	no	—
884	C₄×D₄	—	86	1	no	—
885	C₄×D₄	—	86	1	no	—
886	C₄×D₄	—	86	1	no	—
887	C₄×D₄	C₂²×D₄₃	1	1	yes	characteristic
888	C₄×D₄	C₂²×D₄₃	1	1	yes	characteristic
889	C₄×D₄	C₂²×D₄₃	1	1	yes	characteristic
890	#117	—	2	1	no	—
891	#117	—	2	1	no	—
892	#117	—	43	2	no	—
893	#117	—	86	1	no	—
894	#117	C₂²×D₄₃	1	1	yes	characteristic
895	C₂×C₄⋊C₄	—	43	1	no	—
896	C₂×C₄⋊C₄	—	43	2	no	—
897	C₂×C₄⋊C₄	—	86	1	no	—
898	C₂×C₂²⋊C₄	—	43	2	no	—
899	C₂×C₂²⋊C₄	—	86	2	no	—
900	C₂×C₂²⋊C₄	—	86	2	no	—
901	C₂×C₂²⋊C₄	—	86	2	no	—
902	C₂×C₄²	—	2	1	no	—
903	C₂×C₄²	C₂²×D₄₃	1	1	yes	characteristic
904	#107	—	43	2	no	—
905	#107	C₂²×D₄₃	1	1	yes	characteristic
906	#107	C₂²×D₄₃	1	1	yes	characteristic
907	#106	—	43	2	no	—
908	#106	C₂²×D₄₃	1	1	yes	characteristic
909	#106	C₂²×D₄₃	1	1	yes	characteristic
910	C₄⋊C₈	—	43	1	no	—
911	C₄⋊C₈	—	43	1	no	—
912	C₄⋊C₈	C₂²×D₄₃	1	1	yes	characteristic
913	C₄⋊C₈	C₂²×D₄₃	1	1	yes	characteristic
914	#103	—	43	2	no	—
915	#103	—	43	2	no	—
916	#103	—	43	2	no	—
917	#103	—	43	2	no	—
918	#103	—	43	2	no	—
919	#103	C₂²×D₄₃	1	1	yes	characteristic
920	#103	C₂²×D₄₃	1	1	yes	characteristic
921	#103	C₂²×D₄₃	1	1	yes	characteristic
922	#103	C₂²×D₄₃	1	1	yes	characteristic
923	#102	—	43	2	no	—
924	#102	—	43	2	no	—
925	#102	—	43	2	no	—
926	#102	—	43	2	no	—
927	#102	—	43	2	no	—
928	#102	—	43	2	no	—
929	#102	—	43	2	no	—
930	#102	C₂²×D₄₃	1	1	yes	characteristic
931	#102	C₂²×D₄₃	1	1	yes	characteristic
932	#102	C₂²×D₄₃	1	1	yes	characteristic
933	#102	C₂²×D₄₃	1	1	yes	characteristic
934	C₂²⋊C₈	—	43	2	no	—
935	C₂²⋊C₈	—	43	2	no	—
936	C₂²⋊C₈	—	43	2	no	—
937	C₂²⋊C₈	—	43	2	no	—
938	C₂²⋊C₈	—	43	2	no	—
939	C₂²⋊C₈	C₂²×D₄₃	1	1	yes	characteristic
940	C₂²⋊C₈	C₂²×D₄₃	1	1	yes	characteristic
941	C₄×C₈	—	43	2	no	—
942	C₄×C₈	C₂²×D₄₃	1	1	yes	characteristic
943	C₄×C₈	C₂²×D₄₃	1	1	yes	characteristic
944	C₂⁴	—	43	2	no	—
945	C₂⁴	—	86	2	no	—
946	C₂⁴	—	86	2	no	—
947	#41	—	2	2	no	—
948	#41	—	2	2	no	—
949	#41	—	86	4	no	—
950	#41	—	86	4	no	—
951	#41	—	344	2	no	—
952	#41	—	172	2	no	—
953	#41	—	172	2	no	—
954	#41	—	172	8	no	—
955	#41	—	172	2	no	—
956	#41	—	172	2	no	—
957	#41	—	172	2	no	—
958	#41	—	172	2	no	—
959	#41	—	172	8	no	—
960	C₂×Q₈	—	43	2	no	—
961	C₂×Q₈	—	86	2	no	—
962	C₂×Q₈	—	86	1	no	—
963	C₂×Q₈	—	86	4	no	—
964	C₂×Q₈	—	172	2	no	—
965	C₂×Q₈	C₂³×D₄₃	1	1	yes	characteristic
966	C₂×Q₈	C₂³×D₄₃	1	1	yes	characteristic
967	C₂×D₄	—	2	1	no	—
968	C₂×D₄	—	2	1	no	—
969	C₂×D₄	—	43	1	no	—
970	C₂×D₄	—	43	2	no	—
971	C₂×D₄	—	43	1	no	—
972	C₂×D₄	—	43	2	no	—
973	C₂×D₄	—	43	2	no	—
974	C₂×D₄	—	86	4	no	—
975	C₂×D₄	—	86	2	no	—
976	C₂×D₄	—	86	2	no	—
977	C₂×D₄	—	86	2	no	—
978	C₂×D₄	—	86	2	no	—
979	C₂×D₄	—	86	2	no	—
980	C₂×D₄	—	86	2	no	—
981	C₂×D₄	—	86	2	no	—
982	C₂×D₄	—	86	2	no	—
983	C₂×D₄	—	86	4	no	—
984	C₂×D₄	—	86	2	no	—
985	C₂×D₄	—	86	2	no	—
986	C₂×D₄	—	86	2	no	—
987	C₂×D₄	—	86	2	no	—
988	C₂×D₄	—	86	1	no	—
989	C₂×D₄	—	86	1	no	—
990	C₂×D₄	—	86	1	no	—
991	C₂×D₄	—	86	1	no	—
992	C₂×D₄	—	344	4	no	—
993	C₂×D₄	—	172	4	no	—
994	C₂×D₄	—	172	4	no	—
995	C₂×D₄	—	172	2	no	—
996	C₂×D₄	—	172	2	no	—
997	C₂×D₄	—	172	2	no	—
998	C₂×D₄	—	172	8	no	—
999	C₂×D₄	C₂³×D₄₃	1	1	yes	characteristic
1000	C₂×D₄	C₂³×D₄₃	1	1	yes	characteristic
1001	C₂²×C₄	—	2	1	no	—
1002	C₂²×C₄	—	2	1	no	—
1003	C₂²×C₄	—	2	1	no	—
1004	C₂²×C₄	—	2	1	no	—
1005	C₂²×C₄	—	43	2	no	—
1006	C₂²×C₄	—	43	2	no	—
1007	C₂²×C₄	—	43	2	no	—
1008	C₂²×C₄	—	43	2	no	—
1009	C₂²×C₄	—	43	2	no	—
1010	C₂²×C₄	—	86	2	no	—
1011	C₂²×C₄	—	86	2	no	—
1012	C₂²×C₄	—	86	2	no	—
1013	C₂²×C₄	—	86	2	no	—
1014	C₂²×C₄	—	86	2	no	—
1015	C₂²×C₄	—	86	2	no	—
1016	C₂²×C₄	—	86	2	no	—
1017	C₂²×C₄	—	172	2	no	—
1018	C₂²×C₄	—	172	2	no	—
1019	C₂²×C₄	—	172	8	no	—
1020	C₂²×C₄	D₄×D₄₃	1	1	yes	characteristic
1021	C₂²×C₄	D₄×D₄₃	1	1	yes	characteristic
1022	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
1023	Q₁₆	—	2	2	no	—
1024	Q₁₆	—	172	2	no	—
1025	SD₁₆	—	2	2	no	—
1026	SD₁₆	—	2	2	no	—
1027	SD₁₆	—	86	4	no	—
1028	SD₁₆	—	172	2	no	—
1029	SD₁₆	—	172	2	no	—
1030	SD₁₆	—	172	2	no	—
1031	SD₁₆	—	172	2	no	—
1032	D₈	—	2	2	no	—
1033	D₈	—	86	4	no	—
1034	D₈	—	172	2	no	—
1035	D₈	—	172	2	no	—
1036	D₈	—	172	2	no	—
1037	C₂×C₈	—	43	2	no	—
1038	C₂×C₈	—	43	2	no	—
1039	C₂×C₈	—	172	2	no	—
1040	C₂×C₈	—	172	2	no	—
1041	C₂×C₈	—	172	2	no	—
1042	C₂×C₈	—	172	2	no	—
1043	C₂×C₈	C₂³×D₄₃	1	1	yes	characteristic
1044	C₂×C₈	C₂³×D₄₃	1	1	yes	characteristic
1045	C₂×C₈	C₂³×D₄₃	1	1	yes	characteristic
1046	C₂×C₈	C₂³×D₄₃	1	1	yes	characteristic
1047	C₄⋊C₄	—	2	1	no	—
1048	C₄⋊C₄	—	2	1	no	—
1049	C₄⋊C₄	—	2	1	no	—
1050	C₄⋊C₄	—	2	1	no	—
1051	C₄⋊C₄	—	2	1	no	—
1052	C₄⋊C₄	—	2	1	no	—
1053	C₄⋊C₄	—	43	1	no	—
1054	C₄⋊C₄	—	43	1	no	—
1055	C₄⋊C₄	—	43	2	no	—
1056	C₄⋊C₄	—	43	2	no	—
1057	C₄⋊C₄	—	86	2	no	—
1058	C₄⋊C₄	—	86	2	no	—
1059	C₄⋊C₄	—	86	2	no	—
1060	C₄⋊C₄	—	86	2	no	—
1061	C₄⋊C₄	—	86	1	no	—
1062	C₄⋊C₄	—	86	1	no	—
1063	C₄⋊C₄	—	86	1	no	—
1064	C₄⋊C₄	C₂³×D₄₃	1	1	yes	characteristic
1065	C₄⋊C₄	C₂³×D₄₃	1	1	yes	characteristic
1066	C₄⋊C₄	C₂³×D₄₃	1	1	yes	characteristic
1067	C₄⋊C₄	C₂³×D₄₃	1	1	yes	characteristic
1068	C₂²⋊C₄	—	2	1	no	—
1069	C₂²⋊C₄	—	2	1	no	—
1070	C₂²⋊C₄	—	2	1	no	—
1071	C₂²⋊C₄	—	2	1	no	—
1072	C₂²⋊C₄	—	2	1	no	—
1073	C₂²⋊C₄	—	2	1	no	—
1074	C₂²⋊C₄	—	2	1	no	—
1075	C₂²⋊C₄	—	2	1	no	—
1076	C₂²⋊C₄	—	43	2	no	—
1077	C₂²⋊C₄	—	43	2	no	—
1078	C₂²⋊C₄	—	43	2	no	—
1079	C₂²⋊C₄	—	43	2	no	—
1080	C₂²⋊C₄	—	86	2	no	—
1081	C₂²⋊C₄	—	86	2	no	—
1082	C₂²⋊C₄	—	86	2	no	—
1083	C₂²⋊C₄	—	86	2	no	—
1084	C₂²⋊C₄	—	86	2	no	—
1085	C₂²⋊C₄	—	86	2	no	—
1086	C₂²⋊C₄	—	86	2	no	—
1087	C₂²⋊C₄	—	86	2	no	—
1088	C₂²⋊C₄	—	86	2	no	—
1089	C₂²⋊C₄	—	86	2	no	—
1090	C₂²⋊C₄	—	86	2	no	—
1091	C₂²⋊C₄	—	86	2	no	—
1092	C₂²⋊C₄	—	86	2	no	—
1093	C₄²	—	2	1	no	—
1094	C₄²	—	2	1	no	—
1095	C₄²	—	2	1	no	—
1096	C₄²	—	2	1	no	—
1097	C₄²	—	86	2	no	—
1098	C₄²	D₄×D₄₃	1	1	yes	characteristic
1099	C₄²	D₄×D₄₃	1	1	yes	characteristic
1100	C₄²	C₂³×D₄₃	1	1	yes	characteristic
1101	C₄²	C₂³×D₄₃	1	1	yes	characteristic
1102	C₂³	—	2	1	no	—
1103	C₂³	—	2	1	no	—
1104	C₂³	—	43	2	no	—
1105	C₂³	—	43	2	no	—
1106	C₂³	—	86	4	no	—
1107	C₂³	—	86	2	no	—
1108	C₂³	—	86	2	no	—
1109	C₂³	—	344	2	no	—
1110	C₂³	—	344	2	no	—
1111	C₂³	—	344	2	no	—
1112	C₂³	—	172	2	no	—
1113	C₂³	—	172	2	no	—
1114	C₂³	—	172	4	no	—
1115	C₂³	—	172	4	no	—
1116	C₂³	—	172	4	no	—
1117	C₂³	C₂×D₄×D₄₃	1	1	yes	characteristic
1118	Q₈	—	2	1	no	—
1119	Q₈	—	2	1	no	—
1120	Q₈	—	2	1	no	—
1121	Q₈	—	86	2	no	—
1122	Q₈	—	86	2	no	—
1123	Q₈	—	344	1	no	—
1124	Q₈	—	172	4	no	—
1125	Q₈	#13063371	1	2	yes	—
1126	D₄	—	2	4	no	—
1127	D₄	—	2	1	no	—
1128	D₄	—	2	1	no	—
1129	D₄	—	2	1	no	—
1130	D₄	—	4	2	no	—
1131	D₄	—	43	4	no	—
1132	D₄	—	86	4	no	—
1133	D₄	—	86	2	no	—
1134	D₄	—	86	2	no	—
1135	D₄	—	86	2	no	—
1136	D₄	—	86	2	no	—
1137	D₄	—	86	2	no	—
1138	D₄	—	344	1	no	—
1139	D₄	—	344	1	no	—
1140	D₄	—	344	2	no	—
1141	D₄	—	344	2	no	—
1142	D₄	—	344	2	no	—
1143	D₄	—	344	2	no	—
1144	D₄	—	344	2	no	—
1145	D₄	—	172	4	no	—
1146	D₄	—	172	4	no	—
1147	D₄	—	172	4	no	—
1148	D₄	—	172	4	no	—
1149	D₄	—	172	4	no	—
1150	D₄	—	172	4	no	—
1151	D₄	—	172	4	no	—
1152	D₄	—	172	2	no	—
1153	D₄	—	172	2	no	—
1154	D₄	#13063371	1	2	yes	—
1155	C₂×C₄	—	2	4	no	—
1156	C₂×C₄	—	2	1	no	—
1157	C₂×C₄	—	2	2	no	—
1158	C₂×C₄	—	2	1	no	—
1159	C₂×C₄	—	2	1	no	—
1160	C₂×C₄	—	2	1	no	—
1161	C₂×C₄	—	2	1	no	—
1162	C₂×C₄	—	2	1	no	—
1163	C₂×C₄	—	2	1	no	—
1164	C₂×C₄	—	2	1	no	—
1165	C₂×C₄	—	4	1	no	—
1166	C₂×C₄	—	4	2	no	—
1167	C₂×C₄	—	4	2	no	—
1168	C₂×C₄	—	8	1	no	—
1169	C₂×C₄	—	43	2	no	—
1170	C₂×C₄	—	43	2	no	—
1171	C₂×C₄	—	86	2	no	—
1172	C₂×C₄	—	86	2	no	—
1173	C₂×C₄	—	86	2	no	—
1174	C₂×C₄	—	86	2	no	—
1175	C₂×C₄	—	86	2	no	—
1176	C₂×C₄	—	86	2	no	—
1177	C₂×C₄	—	344	2	no	—
1178	C₂×C₄	—	344	2	no	—
1179	C₂×C₄	—	344	2	no	—
1180	C₂×C₄	—	172	2	no	—
1181	C₂×C₄	—	172	2	no	—
1182	C₂×C₄	—	172	4	no	—
1183	C₂×C₄	—	172	4	no	—
1184	C₂×C₄	—	172	4	no	—
1185	C₂×C₄	—	172	2	no	—
1186	C₂×C₄	—	172	4	no	—
1187	C₂×C₄	C₂×D₄×D₄₃	1	1	yes	characteristic
1188	C₂×C₄	C₂×D₄×D₄₃	1	1	yes	characteristic
1189	C₂×C₄	C₂×D₄×D₄₃	1	1	yes	characteristic
1190	C₂×C₄	C₂×D₄×D₄₃	1	1	yes	characteristic
1191	C₂×C₄	C₂×D₄×D₄₃	1	1	yes	characteristic
1192	C₂×C₄	C₂⁴×D₄₃	1	1	yes	characteristic
1193	C₈	—	2	1	no	—
1194	C₈	—	2	1	no	—
1195	C₈	—	2	1	no	—
1196	C₈	—	2	1	no	—
1197	C₈	—	86	2	no	—
1198	C₈	—	86	2	no	—
1199	C₂²	—	2	1	no	—
1200	C₂²	—	2	1	no	—
1201	C₂²	—	2	1	no	—
1202	C₂²	—	2	2	no	—
1203	C₂²	—	4	1	no	—
1204	C₂²	—	4	1	no	—
1205	C₂²	—	4	1	no	—
1206	C₂²	—	4	1	no	—
1207	C₂²	—	4	1	no	—
1208	C₂²	—	43	4	no	—
1209	C₂²	—	86	2	no	—
1210	C₂²	—	86	2	no	—
1211	C₂²	—	86	2	no	—
1212	C₂²	—	86	2	no	—
1213	C₂²	—	86	2	no	—
1214	C₂²	—	344	8	no	—
1215	C₂²	—	344	4	no	—
1216	C₂²	—	172	2	no	—
1217	C₂²	—	172	2	no	—
1218	C₂²	—	172	2	no	—
1219	C₂²	—	172	2	no	—
1220	C₂²	—	172	2	no	—
1221	C₂²	—	172	2	no	—
1222	C₂²	—	688	4	no	—
1223	C₂²	C₂²×D₄×D₄₃	1	1	yes	characteristic
1224	C₄	—	2	1	no	—
1225	C₄	—	2	1	no	—
1226	C₄	—	2	1	no	—
1227	C₄	—	2	1	no	—
1228	C₄	—	2	2	no	—
1229	C₄	—	4	1	no	—
1230	C₄	—	4	1	no	—
1231	C₄	—	4	1	no	—
1232	C₄	—	4	1	no	—
1233	C₄	—	4	1	no	—
1234	C₄	—	86	2	no	—
1235	C₄	—	86	2	no	—
1236	C₄	—	172	2	no	—
1237	C₄	—	172	2	no	—
1238	C₄	#135×D₄₃	1	2	yes	—
1239	C₄	C₂×#13063371	1	1	yes	characteristic
1240	C₄	C₂×#13063371	1	1	yes	characteristic
1241	C₂	—	4	1	no	—
1242	C₂	—	4	2	no	—
1243	C₂	—	8	1	no	—
1244	C₂	—	86	4	no	—
1245	C₂	—	344	2	no	—
1246	C₂	—	344	2	no	—
1247	C₂	—	172	2	no	—
1248	C₂	#19148228	1	1	yes	characteristic
1249	C₂	C₂×#135×D₄₃	1	1	yes	characteristic
1250	C₂	#19149372	1	1	yes	characteristic

	subgroup	G/H
center	C₂²	C₂²×D₄×D₄₃
commutator, cosocle	C₂×C₄×C₄₃	C₂⁵
Frattini	C₂×C₄	C₂⁴×D₄₃
Fitting	C₄₃×#3102	C₂
socle	C₂²×C₄₃	C₂³×D₄
hypercenter	#3102	D₄₃
hypocenter	C₄₃	#61567
LCS	G ▷ C₂×C₄×C₄₃ ▷ C₂×C₄₃ ▷ C₄₃
UCS	C₁ ◁ C₂² ◁ C₂×C₄² ◁ #3102

Complements

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

N	H ≅ G/N	type
1. #19148629	C₂	semidirect
2. #41×D₁₇₂	C₂	semidirect
3. #19146547	C₂	semidirect
4. #19146525	C₂	semidirect
5. #19146494	C₂	semidirect
6. #19146473	C₂	semidirect
7. #19146442	C₂	semidirect
8. #19146421	C₂	semidirect
9. #19146354	C₂	semidirect
10. #19146326	C₂	semidirect
11. #19146297	C₂	semidirect
12. SD₁₆×D₁₇₂	C₂	semidirect
13. #19146275	C₂	semidirect
14. D₈×D₁₇₂	C₂	semidirect
15. #19145567	C₂	semidirect
16. #19145530	C₂	semidirect
17. #19145390	C₂	semidirect
18. #19145364	C₂	semidirect
19. #19144655	C₂	semidirect
20. #19143816	C₂	semidirect
21. #449×D₄₃	C₂	semidirect
22. #19143618	C₂	semidirect
23. C₄₃×#3102	C₂	semidirect
24. C₂×#41×D₄₃	C₂²	semidirect
25. C₂×#13063348	C₂²	semidirect
26. C₂×#13063346	C₂²	semidirect
27. C₂×SD₁₆×D₄₃	C₂²	semidirect
28. C₂×D₈×D₄₃	C₂²	semidirect
29. #14583614	C₂²	semidirect
31. #14583602	C₂²	semidirect
33. #14583571	C₂²	semidirect
34. #14583571	C₂²	semidirect
36. #14583561	C₂²	semidirect
38. #14583553	C₂²	semidirect
40. #14583544	C₂²	semidirect
41. #14583542	C₂²	semidirect
50. #14583449	C₂²	semidirect
51. #14583449	C₂²	semidirect
52. #14583412	C₂²	semidirect
54. #14583411	C₂²	semidirect
55. #121×D₄₃	C₂²	semidirect
59. #14583281	C₂²	semidirect
60. #14583276	C₂²	semidirect
61. #14583272	C₂²	semidirect
62. #14583256	C₂²	semidirect
63. #14583250	C₂²	semidirect
64. #14583246	C₂²	semidirect
65. #14583242	C₂²	semidirect
66. #14583236	C₂²	semidirect
67. #14583225	C₂²	semidirect
68. #14583223	C₂²	semidirect
69. #14583219	C₂²	semidirect
70. #14583194	C₂²	semidirect
71. #14583189	C₂²	semidirect
72. #14583139	C₂²	semidirect
73. #14583136	C₂²	semidirect
74. #14583136	C₂²	semidirect
75. #14583134	C₂²	semidirect
76. #14583131	C₂²	semidirect
77. #14583129	C₂²	semidirect
78. #14583129	C₂²	semidirect
79. #14583127	C₂²	semidirect
80. #14583115	C₂²	semidirect
81. #14583115	C₂²	semidirect
82. #14583109	C₂²	semidirect
83. #14583104	C₂²	semidirect
84. #14583099	C₂²	semidirect
85. #14583099	C₂²	semidirect
86. #14583094	C₂²	semidirect
87. #14583094	C₂²	semidirect
88. #14583064	C₂²	semidirect
89. #14583059	C₂²	semidirect
90. #14583053	C₂²	semidirect
91. #14583051	C₂²	semidirect
92. #14583048	C₂²	semidirect
93. #14583047	C₂²	semidirect
94. #14583047	C₂²	semidirect
95. #14583046	C₂²	semidirect
96. #14583046	C₂²	semidirect
97. #14583045	C₂²	semidirect
98. #14583044	C₂²	semidirect
99. #14583043	C₂²	semidirect
100. #14583042	C₂²	semidirect
101. #14583041	C₂²	semidirect
102. #14583039	C₂²	semidirect
103. #14583034	C₂²	semidirect
104. #14583034	C₂²	semidirect
105. C₄×#10621884	C₂²	semidirect
106. C₄×#10621882	C₂²	semidirect
109. C₈×D₁₇₂	C₂²	semidirect
110. C₈×D₁₇₂	C₂²	semidirect
111. #14582964	C₂²	semidirect
112. #14582964	C₂²	semidirect
113. #14582952	C₂²	semidirect
114. #14582894	C₂²	semidirect
115. #14582892	C₂²	semidirect
116. #103×D₄₃	C₂²	semidirect
117. #102×D₄₃	C₂²	semidirect
118. C₂²⋊C₈×D₄₃	C₂²	semidirect
119. C₂²⋊C₈×D₄₃	C₂²	semidirect
120. C₄₃×#529	C₂²	semidirect
121. C₄×#41×C₄₃	C₂²	semidirect
122. C₄₃×#485	C₂²	semidirect
123. C₄₃×#482	C₂²	semidirect
124. C₄₃×#479	C₂²	semidirect
125. C₄₃×#478	C₂²	semidirect
126. C₄₃×#464	C₂²	semidirect
127. C₄₃×#463	C₂²	semidirect
128. C₄₃×#452	C₂²	semidirect
130. C₄×Q₁₆×C₄₃	C₂²	semidirect
131. C₄×SD₁₆×C₄₃	C₂²	semidirect
132. C₄×SD₁₆×C₄₃	C₂²	semidirect
133. C₄×D₈×C₄₃	C₂²	semidirect
134. C₄₃×#431	C₂²	semidirect
550. D₁₇₂	#135	semidirect
635. #3102	D₄₃	semidirect
677. #529	C₂×D₄₃	semidirect
683. C₄×#41	C₂×D₄₃	semidirect
693. #485	C₂×D₄₃	semidirect
697. #482	C₂×D₄₃	semidirect
699. #479	C₂×D₄₃	semidirect
700. #478	C₂×D₄₃	semidirect
711. #464	C₂×D₄₃	semidirect
714. #463	C₂×D₄₃	semidirect
723. #452	C₂×D₄₃	semidirect
740. C₄×Q₁₆	C₂×D₄₃	semidirect
742. C₄×SD₁₆	C₂×D₄₃	semidirect
743. C₄×SD₁₆	C₂×D₄₃	semidirect
745. C₄×D₈	C₂×D₄₃	semidirect
753. #431	C₂×D₄₃	semidirect
760. C₄₃	#61567	semidirect

Maximal subgroups

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

subgroup	index
#19148629	2
#41×D₁₇₂	2
#19146547	2
#19146525	2
#19146494	2
#19146473	2
#19146442	2
#19146421	2
#19146354	2
#19146326	2
#19146297	2
SD₁₆×D₁₇₂	2
#19146275	2
D₈×D₁₇₂	2
#19145567	2
#19145530	2
#19145390	2
#19145364	2
#19144655	2
#19143816	2
#449×D₄₃	2
#19143618	2
C₄₃×#3102	2
#61567	43