Subgroups — #25965160

Order 11008.

2152 conjugacy classes of subgroups.

The subgroup lattice has 1212 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#19148011	C₂	1	1	yes	maximal, characteristic, complemented
2	C₄×#13063371	C₂	1	1	yes	maximal, characteristic, complemented
3	#19144863	C₂	1	2	yes	maximal, complemented
4	#19144835	C₂	1	2	yes	maximal, complemented
5	#19144800	C₂	1	2	yes	maximal, complemented
6	#19144785	C₂	1	2	yes	maximal, complemented
7	#19144653	C₂	1	2	yes	maximal, complemented
8	#19144646	C₂	1	2	yes	maximal, complemented
9	#19144619	C₂	1	2	yes	maximal, complemented
10	#19144593	C₂	1	2	yes	maximal, complemented
11	#19144571	C₂	1	1	yes	maximal, characteristic, complemented
12	#19144556	C₂	1	1	yes	maximal, characteristic, complemented
13	#19144444	C₂	1	1	yes	maximal, characteristic, complemented
14	#19144429	C₂	1	1	yes	maximal, characteristic, complemented
15	#19144132	C₂	1	1	yes	maximal, characteristic, complemented
16	#19144101	C₂	1	1	yes	maximal, characteristic, complemented
17	#19143895	C₂	1	1	yes	maximal, characteristic, complemented
18	#19143866	C₂	1	1	yes	maximal, characteristic, complemented
19	C₄×#13063350	C₂	1	1	yes	maximal, characteristic, complemented
20	C₄×#13063350	C₂	1	1	yes	maximal, characteristic, complemented
21	C₂×C₄×D₃₄₄	C₂	1	1	yes	maximal, characteristic, complemented
22	#19143237	C₂	1	1	yes	maximal, characteristic, complemented
23	C₄×#135×C₄₃	C₂	1	1	yes	maximal, characteristic, complemented
24	C₂×#13063371	C₂²	1	1	yes	characteristic
25	C₂×#13063350	C₂²	1	1	yes	characteristic
26	C₂×#13063350	C₂²	1	1	yes	characteristic
27	C₂²×D₃₄₄	C₂²	1	1	yes	characteristic
28	#14583527	C₂²	1	1	yes	characteristic, complemented
29	#14583521	C₂²	1	2	yes	complemented
30	#14583520	—	2	1	no	—
31	#14583504	—	2	1	no	—
32	#14583500	C₂²	1	2	yes	complemented
33	#14583482	—	2	2	no	—
34	#14583477	C₂²	1	1	yes	characteristic
35	#14583468	C₂²	1	1	yes	characteristic
36	#14583463	C₂²	1	1	yes	characteristic, complemented
37	#14583449	—	2	1	no	—
38	#14583446	C₂²	1	2	yes	complemented
39	#14583436	C₂²	1	2	yes	complemented
40	#14583433	—	2	1	no	—
41	#14583408	—	2	2	no	—
42	#14583382	C₂²	1	1	yes	characteristic
43	#14583381	C₂²	1	2	yes	complemented
44	#14583379	—	2	1	no	—
45	#14583379	C₂²	1	1	yes	characteristic
46	#14583373	—	2	1	no	—
47	#14583373	C₂²	1	1	yes	characteristic
48	#14583371	—	2	2	no	—
49	#14583371	C₂²	1	2	yes	complemented
50	C₄×#10621902	C₂²	1	2	yes	complemented
51	C₄×#10621898	—	2	1	no	—
52	C₄×#10621898	C₂²	1	1	yes	characteristic
53	C₂×C₄×D₁₇₂	—	2	1	no	—
54	C₂×C₄×D₁₇₂	C₂²	1	1	yes	characteristic
55	C₂×C₄×D₁₇₂	C₂²	1	1	yes	characteristic, complemented
56	C₄×D₄×D₄₃	—	2	2	no	—
57	C₄×D₄×D₄₃	C₂²	1	2	yes	complemented
58	#14583239	C₂²	1	2	yes	complemented
59	#14583233	C₂²	1	2	yes	complemented
60	#14583226	C₂²	1	2	yes	complemented
61	#14583225	C₂²	1	2	yes	complemented
62	#14583221	C₂²	1	2	yes	complemented
63	#14583219	C₂²	1	2	yes	complemented
64	#14583214	C₂²	1	2	yes	complemented
65	#14583211	C₂²	1	2	yes	complemented
66	#14583208	C₂²	1	2	yes	complemented
67	#14583202	C₂²	1	2	yes	complemented
68	#14583198	C₂²	1	2	yes	complemented
69	#14583197	C₂²	1	2	yes	complemented
70	#14583192	C₂²	1	2	yes	complemented
71	#14583188	C₂²	1	2	yes	complemented
72	#14583178	C₂²	1	2	yes	complemented
73	#14583177	C₂²	1	2	yes	complemented
74	#14583123	C₂²	1	2	yes	complemented
75	#14583117	C₂²	1	2	yes	complemented
76	#14583117	C₂²	1	2	yes	complemented
77	#14583116	C₂²	1	2	yes	complemented
78	#14583097	C₂²	1	2	yes	complemented
79	#14583093	C₂²	1	2	yes	complemented
80	#14583093	C₂²	1	2	yes	complemented
81	#14583092	C₂²	1	2	yes	complemented
82	#14583060	C₂²	1	2	yes	complemented
83	#14583048	C₂²	1	2	yes	complemented
84	#14583047	C₂²	1	2	yes	—
85	#14583047	C₂²	1	2	yes	—
86	#14583043	C₂²	1	2	yes	complemented
87	#14583034	C₂²	1	2	yes	—
88	#14583034	C₂²	1	2	yes	—
89	#14583031	C₂²	1	2	yes	complemented
90	#14583009	C₂²	1	2	yes	complemented
91	#14583009	C₂²	1	2	yes	complemented
92	#14582997	C₂²	1	2	yes	complemented
93	#14582997	C₂²	1	2	yes	complemented
94	C₄×#10621884	C₂²	1	2	yes	complemented
95	C₄×#10621884	C₂²	1	2	yes	complemented
96	C₄×D₃₄₄	C₂²	1	2	yes	complemented
97	C₄×D₃₄₄	C₂²	1	2	yes	complemented
98	C₄×D₃₄₄	C₂²	1	2	yes	complemented
99	C₄×D₃₄₄	C₂²	1	2	yes	complemented
100	C₄×#10621882	C₂²	1	2	yes	complemented
101	C₄×#10621882	C₂²	1	2	yes	complemented
102	#14582958	C₂²	1	2	yes	complemented
103	#14582958	C₂²	1	2	yes	complemented
104	#14582950	C₂²	1	2	yes	complemented
105	#14582950	C₂²	1	2	yes	complemented
106	#14582942	C₂²	1	1	yes	characteristic, complemented
107	#14582942	C₂²	1	1	yes	characteristic, complemented
108	C₂×#13063259	C₂²	1	1	yes	characteristic, complemented
109	#14582925	C₂²	1	1	yes	characteristic, complemented
110	#14582925	C₂²	1	1	yes	characteristic, complemented
111	#14582903	C₂²	1	1	yes	characteristic
112	#14582903	C₂²	1	1	yes	characteristic, complemented
113	#14582900	C₂²	1	1	yes	characteristic
114	#14582900	C₂²	1	1	yes	characteristic, complemented
115	C₂×#13063247	C₂²	1	1	yes	characteristic
116	C₂×#13063247	C₂²	1	1	yes	characteristic, complemented
117	#14582865	C₂²	1	1	yes	characteristic
118	#14582865	C₂²	1	1	yes	characteristic
119	C₄×#10621877	C₂²	1	1	yes	characteristic, complemented
120	C₂×#135×C₄₃	C₂²	1	1	yes	characteristic
121	C₄×#41×C₄₃	C₂²	1	1	yes	characteristic
122	C₄×#41×C₄₃	C₂²	1	1	yes	characteristic, complemented
123	C₄×Q₁₆×C₄₃	C₂²	1	1	yes	characteristic, complemented
124	C₄×Q₁₆×C₄₃	C₂²	1	1	yes	characteristic, complemented
125	C₄×SD₁₆×C₄₃	C₂²	1	1	yes	characteristic, complemented
126	C₄×SD₁₆×C₄₃	C₂²	1	1	yes	characteristic, complemented
127	C₄×SD₁₆×C₄₃	C₂²	1	1	yes	characteristic, complemented
128	C₄×SD₁₆×C₄₃	C₂²	1	1	yes	characteristic, complemented
129	C₄×D₈×C₄₃	C₂²	1	1	yes	characteristic, complemented
130	C₄×D₈×C₄₃	C₂²	1	1	yes	characteristic, complemented
131	C₄₃×#427	C₂²	1	1	yes	characteristic, complemented
132	C₄₃×#416	C₂²	1	1	yes	characteristic
133	C₄₃×#416	C₂²	1	1	yes	characteristic, complemented
134	C₂×C₄×C₈×C₄₃	C₂²	1	1	yes	characteristic, complemented
135	#13063371	—	2	4	no	—
136	#13063371	—	2	4	no	—
137	C₂×#10621902	C₂³	1	2	yes	—
138	C₂×#10621898	—	2	2	no	—
139	C₂×#10621898	—	2	1	no	—
140	C₂×#10621898	C₂³	1	1	yes	characteristic
141	C₂²×D₁₇₂	—	2	1	no	—
142	C₂²×D₁₇₂	C₂³	1	1	yes	characteristic
143	C₂²×D₁₇₂	C₂³	1	1	yes	characteristic
144	C₂×D₄×D₄₃	—	2	2	no	—
145	C₂×D₄×D₄₃	C₂³	1	2	yes	—
146	C₂²×C₄×D₄₃	—	2	1	no	—
147	C₂²×C₄×D₄₃	—	2	1	no	—
148	C₂²×C₄×D₄₃	—	2	2	no	—
149	#13063350	—	2	4	no	—
150	#13063350	—	2	4	no	—
151	C₂×#10621884	C₂³	1	2	yes	—
152	C₂×#10621884	C₂³	1	2	yes	—
153	C₂×D₃₄₄	—	2	4	no	—
154	C₂×D₃₄₄	C₂³	1	2	yes	—
155	C₂×D₃₄₄	C₂³	1	2	yes	—
156	C₂×#10621882	C₂³	1	2	yes	—
157	C₂×#10621882	C₂³	1	2	yes	—
158	C₂×#10621877	C₂³	1	1	yes	characteristic
159	C₂×#10621877	C₂³	1	1	yes	characteristic
160	#13063325	—	2	1	no	—
161	#13063324	C₂³	1	2	yes	—
162	#13063322	—	2	1	no	—
163	#13063321	C₂³	1	2	yes	—
164	#13063320	—	2	2	no	—
165	#13063319	—	2	2	no	—
166	#13063317	—	2	1	no	—
167	#13063316	C₂³	1	2	yes	—
168	#13063314	C₂³	1	2	yes	—
169	#13063313	—	2	1	no	—
170	#13063313	—	2	2	no	—
171	#13063311	—	2	2	no	—
172	#13063310	—	2	2	no	—
173	#13063310	—	2	2	no	—
174	#13063308	—	2	2	no	—
175	#13063307	—	2	2	no	—
176	#13063304	—	2	1	no	—
177	#13063303	—	2	2	no	—
178	#13063302	—	2	2	no	—
179	#13063301	C₂³	1	2	yes	—
180	#13063300	C₂³	1	2	yes	—
181	#13063300	C₂³	1	2	yes	—
182	#13063299	—	2	1	no	—
183	#13063299	—	2	2	no	—
184	#13063299	—	2	1	no	—
185	#13063299	—	2	1	no	—
186	#13063298	—	2	2	no	—
187	#13063298	—	2	2	no	—
188	#13063297	—	2	2	no	—
189	#13063296	C₂³	1	2	yes	—
190	#13063295	—	2	2	no	—
191	#13063293	—	2	2	no	—
192	Q₈×Dic₄₃	C₂³	1	2	yes	—
193	C₄×Dic₈₆	—	2	1	no	—
194	C₄×Dic₈₆	D₄	1	1	yes	characteristic
195	C₄×Dic₈₆	D₄	1	1	yes	characteristic
196	C₄×D₁₇₂	—	2	1	no	—
197	C₄×D₁₇₂	—	2	2	no	—
198	C₄×D₁₇₂	—	2	2	no	—
199	C₄×D₁₇₂	—	2	1	no	—
200	C₄×D₁₇₂	—	2	1	no	—
201	C₄×D₁₇₂	—	2	1	no	—
202	C₄×D₁₇₂	—	2	1	no	—
203	C₄×D₁₇₂	—	2	2	no	—
204	C₄×D₁₇₂	—	2	1	no	—
205	C₄×D₁₇₂	—	2	1	no	—
206	C₄×D₁₇₂	D₄	1	1	yes	characteristic
207	C₄×D₁₇₂	D₄	1	1	yes	characteristic
208	C₄×D₁₇₂	C₂³	1	2	yes	—
209	C₄×D₁₇₂	C₂³	1	2	yes	—
210	C₄×D₁₇₂	C₂³	1	2	yes	—
211	C₄×D₁₇₂	C₂³	1	2	yes	—
212	D₄×Dic₄₃	—	2	2	no	—
213	D₄×Dic₄₃	C₂³	1	2	yes	—
214	#13063287	—	2	2	no	—
215	#13063287	—	2	2	no	—
216	#13063287	C₂³	1	2	yes	—
217	#13063287	C₂³	1	2	yes	—
218	C₄×C₂²⋊D₄₃	—	2	2	no	—
219	C₄×C₂²⋊D₄₃	—	2	2	no	—
220	C₄×C₂²⋊D₄₃	—	2	2	no	—
221	C₄×C₂²⋊D₄₃	D₄	1	2	yes	—
222	C₄×C₂²⋊D₄₃	D₄	1	2	yes	—
223	(C₂²⋊D₄₃)⋊C₄	—	2	2	no	—
224	(C₂²⋊D₄₃)⋊C₄	—	2	2	no	—
225	(C₂²⋊D₄₃)⋊C₄	—	2	2	no	—
226	#13063284	—	2	1	no	—
227	#13063284	C₂³	1	1	yes	characteristic
228	#13063283	—	2	2	no	—
229	#13063283	C₂³	1	2	yes	—
230	#13063282	—	2	2	no	—
231	#13063282	—	2	2	no	—
232	#13063282	C₂³	1	2	yes	—
233	C₂×C₄⋊Dic₄₃	—	2	1	no	—
234	C₂×C₄⋊Dic₄₃	C₂³	1	1	yes	characteristic
235	C₂×C₄⋊Dic₄₃	C₂³	1	1	yes	characteristic
236	C₄⋊C₄×D₄₃	—	2	2	no	—
237	C₄⋊C₄×D₄₃	C₂³	1	2	yes	—
238	C₂×(C₂×D₄₃)⋊C₄	—	2	1	no	—
239	C₂×(C₂×D₄₃)⋊C₄	—	2	1	no	—
240	C₂×(C₂×D₄₃)⋊C₄	—	2	2	no	—
241	C₂²⋊C₄×D₄₃	—	2	2	no	—
242	C₂²⋊C₄×D₄₃	—	2	2	no	—
243	C₂²⋊C₄×D₄₃	—	2	2	no	—
244	C₄²×D₄₃	—	2	2	no	—
245	C₄²×D₄₃	C₂³	1	2	yes	—
246	#13063259	C₂³	1	2	yes	—
247	#13063259	C₂³	1	2	yes	—
248	#13063258	C₂³	1	2	yes	—
249	#13063258	C₂³	1	2	yes	—
250	#13063256	C₂³	1	2	yes	—
251	#13063256	C₂³	1	2	yes	—
252	Dic₄₃⋊C₈	C₂³	1	2	yes	—
253	Dic₄₃⋊C₈	C₂³	1	2	yes	—
254	Dic₄₃⋊C₈	C₂³	1	2	yes	—
255	Dic₄₃⋊C₈	C₂³	1	2	yes	—
256	#13063249	C₂³	1	2	yes	—
257	#13063249	C₂³	1	2	yes	—
258	#13063247	C₂³	1	2	yes	—
259	#13063247	C₂³	1	2	yes	—
260	#13063247	C₂³	1	2	yes	—
261	#13063247	C₂³	1	2	yes	—
262	#13063246	C₂³	1	2	yes	—
263	#13063246	C₂³	1	2	yes	—
264	#13063245	C₂³	1	2	yes	—
265	#13063245	C₂³	1	2	yes	—
266	#13063245	C₂³	1	2	yes	—
267	#13063245	C₂³	1	2	yes	—
268	(C₂×D₄₃)⋊C₈	C₂³	1	2	yes	—
269	(C₂×D₄₃)⋊C₈	C₂³	1	2	yes	—
270	(C₂×D₄₃)⋊C₈	C₂³	1	2	yes	—
271	(C₂×D₄₃)⋊C₈	C₂³	1	2	yes	—
272	#13063236	C₂³	1	2	yes	—
273	C₄×C₄₃⋊C₈	C₂³	1	2	yes	—
274	C₂×#41×C₄₃	C₂³	1	1	yes	characteristic
275	C₂×#41×C₄₃	C₂³	1	1	yes	characteristic
276	#135×C₄₃	—	2	4	no	—
277	C₂×Q₁₆×C₄₃	C₂³	1	1	yes	characteristic
278	C₂×SD₁₆×C₄₃	C₂³	1	1	yes	characteristic
279	C₂×SD₁₆×C₄₃	C₂³	1	1	yes	characteristic
280	C₂×D₈×C₄₃	C₂³	1	1	yes	characteristic
281	C₂²×C₈×C₄₃	C₂³	1	1	yes	characteristic
282	C₂²×C₈×C₄₃	C₂³	1	1	yes	characteristic
283	C₄×Q₈×C₄₃	C₂³	1	1	yes	characteristic
284	C₄×Q₈×C₄₃	C₂³	1	1	yes	characteristic
285	C₄×Q₈×C₄₃	C₂³	1	1	yes	characteristic
286	C₄×Q₈×C₄₃	C₂³	1	1	yes	characteristic
287	C₄×D₄×C₄₃	—	2	1	no	—
288	C₄×D₄×C₄₃	—	2	1	no	—
289	C₄×D₄×C₄₃	—	2	1	no	—
290	C₄×D₄×C₄₃	—	2	1	no	—
291	C₄×D₄×C₄₃	C₂³	1	1	yes	characteristic
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	#117×C₄₃	C₂³	1	1	yes	characteristic
299	C₂×C₄²×C₄₃	—	2	1	no	—
300	C₂×C₄²×C₄₃	—	2	1	no	—
301	C₂×C₄²×C₄₃	C₂³	1	1	yes	characteristic
302	#107×C₄₃	C₂³	1	1	yes	characteristic
303	#107×C₄₃	C₂³	1	1	yes	characteristic
304	#106×C₄₃	C₂³	1	1	yes	characteristic
305	#106×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	C₄×C₈×C₄₃	C₂³	1	1	yes	characteristic
315	C₄×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	1	no	—
319	C₂³×D₄₃	—	2	2	no	—
320	C₂³×D₄₃	—	2	1	no	—
321	#41×C₄₃	—	2	2	no	—
322	#41×C₄₃	—	2	2	no	—
323	#41×C₄₃	—	2	2	no	—
324	#41×C₄₃	#41	1	4	yes	complemented
325	C₂×Q₈×C₄₃	C₂⁴	1	1	yes	characteristic
326	C₂×Q₈×C₄₃	C₂⁴	1	1	yes	characteristic
327	C₂×D₄×C₄₃	—	2	1	no	—
328	C₂×D₄×C₄₃	—	2	1	no	—
329	C₂×D₄×C₄₃	C₂⁴	1	1	yes	characteristic
330	C₂×D₄×C₄₃	C₂⁴	1	1	yes	characteristic
331	C₂²×C₄×C₄₃	—	2	1	no	—
332	C₂²×C₄×C₄₃	—	2	1	no	—
333	C₂²×C₄×C₄₃	—	2	1	no	—
334	C₂²×C₄×C₄₃	—	2	1	no	—
335	C₂²×C₄×C₄₃	—	2	1	no	—
336	C₂²×C₄×C₄₃	—	2	1	no	—
337	C₂²×C₄×C₄₃	C₂×D₄	1	1	yes	characteristic
338	C₂²×C₄×C₄₃	C₂×D₄	1	1	yes	characteristic
339	C₂²×C₄×C₄₃	C₂⁴	1	1	yes	characteristic
340	C₂×C₂²⋊D₄₃	—	2	2	no	—
341	C₂×C₂²⋊D₄₃	—	2	2	no	—
342	C₂×C₂²⋊D₄₃	—	2	2	no	—
343	C₂×C₂²⋊D₄₃	—	2	2	no	—
344	C₂×C₂²⋊D₄₃	C₂×D₄	1	2	yes	—
345	C₂²×Dic₄₃	—	2	2	no	—
346	C₂²×Dic₄₃	—	2	1	no	—
347	C₂²×Dic₄₃	—	2	1	no	—
348	#10621902	—	2	4	no	—
349	#10621902	—	2	4	no	—
350	D₄×D₄₃	—	2	16	no	—
351	D₄×D₄₃	—	2	4	no	—
352	D₄×D₄₃	—	2	4	no	—
353	#10621898	—	2	8	no	—
354	#10621898	—	2	2	no	—
355	#10621898	—	2	2	no	—
356	#10621898	—	8	4	no	—
357	C₂×D₁₇₂	—	2	8	no	—
358	C₂×D₁₇₂	—	2	1	no	—
359	C₂×D₁₇₂	—	2	2	no	—
360	C₂×D₁₇₂	—	2	1	no	—
361	C₂×D₁₇₂	—	2	2	no	—
362	C₂×D₁₇₂	—	2	2	no	—
363	C₂×D₁₇₂	—	2	2	no	—
364	C₂×D₁₇₂	—	2	2	no	—
365	C₂×D₁₇₂	—	2	2	no	—
366	C₂×D₁₇₂	C₂×D₄	1	1	yes	characteristic
367	C₂×D₁₇₂	#41	1	4	yes	complemented
368	C₂×D₁₇₂	C₂⁴	1	2	yes	—
369	C₂×D₁₇₂	C₂⁴	1	2	yes	—
370	C₂×C₄×D₄₃	—	2	2	no	—
371	C₂×C₄×D₄₃	—	2	2	no	—
372	C₂×C₄×D₄₃	—	2	2	no	—
373	C₂×C₄×D₄₃	—	2	2	no	—
374	C₂×C₄×D₄₃	—	2	2	no	—
375	C₂×C₄×D₄₃	—	2	2	no	—
376	C₂×C₄×D₄₃	—	2	2	no	—
377	C₂×C₄×D₄₃	—	2	2	no	—
378	C₂×C₄×D₄₃	—	8	4	no	—
379	C₂×C₄×D₄₃	—	8	2	no	—
380	C₂×C₄×D₄₃	—	8	2	no	—
381	C₂×C₄×D₄₃	C₂×D₄	1	2	yes	—
382	C₂×C₄×D₄₃	C₂×D₄	1	2	yes	—
383	C₂×C₄×D₄₃	C₂⁴	1	2	yes	—
384	C₂×Dic₈₆	—	2	2	no	—
385	C₂×Dic₈₆	C₂×D₄	1	1	yes	characteristic
386	Q₁₆×C₄₃	—	2	2	no	—
387	SD₁₆×C₄₃	—	2	2	no	—
388	SD₁₆×C₄₃	—	2	2	no	—
389	D₈×C₄₃	—	2	2	no	—
390	C₂×C₈×C₄₃	—	2	2	no	—
391	C₂×C₈×C₄₃	—	2	2	no	—
392	C₂×C₈×C₄₃	C₂⁴	1	1	yes	characteristic
393	C₂×C₈×C₄₃	C₂⁴	1	1	yes	characteristic
394	C₂×C₈×C₄₃	C₂⁴	1	1	yes	characteristic
395	C₂×C₈×C₄₃	C₂⁴	1	1	yes	characteristic
396	C₄⋊C₄×C₄₃	—	2	1	no	—
397	C₄⋊C₄×C₄₃	—	2	1	no	—
398	C₄⋊C₄×C₄₃	—	2	1	no	—
399	C₄⋊C₄×C₄₃	—	2	1	no	—
400	C₄⋊C₄×C₄₃	C₂⁴	1	1	yes	characteristic
401	C₄⋊C₄×C₄₃	C₂⁴	1	1	yes	characteristic
402	C₄⋊C₄×C₄₃	C₂⁴	1	1	yes	characteristic
403	C₄⋊C₄×C₄₃	C₂⁴	1	1	yes	characteristic
404	C₂²⋊C₄×C₄₃	—	2	1	no	—
405	C₂²⋊C₄×C₄₃	—	2	1	no	—
406	C₂²⋊C₄×C₄₃	—	2	1	no	—
407	C₂²⋊C₄×C₄₃	—	2	1	no	—
408	C₂²⋊C₄×C₄₃	—	2	1	no	—
409	C₂²⋊C₄×C₄₃	—	2	1	no	—
410	C₄²×C₄₃	—	2	1	no	—
411	C₄²×C₄₃	—	2	1	no	—
412	C₄²×C₄₃	—	2	1	no	—
413	C₄²×C₄₃	—	2	1	no	—
414	C₄²×C₄₃	—	2	1	no	—
415	C₄²×C₄₃	—	2	1	no	—
416	C₄²×C₄₃	C₂×D₄	1	1	yes	characteristic
417	C₄²×C₄₃	C₂×D₄	1	1	yes	characteristic
418	C₄²×C₄₃	C₂⁴	1	1	yes	characteristic
419	C₄²×C₄₃	C₂⁴	1	1	yes	characteristic
420	C₂²⋊Dic₄₃	—	2	2	no	—
421	C₂²⋊Dic₄₃	—	2	2	no	—
422	C₂²⋊Dic₄₃	C₂×D₄	1	2	yes	—
423	#10621884	—	2	4	no	—
424	#10621884	—	2	4	no	—
425	#10621882	—	2	4	no	—
426	#10621882	—	2	4	no	—
427	(C₂×D₄₃)⋊C₄	—	2	2	no	—
428	(C₂×D₄₃)⋊C₄	—	2	2	no	—
429	(C₂×D₄₃)⋊C₄	—	2	2	no	—
430	(C₂×D₄₃)⋊C₄	—	2	2	no	—
431	(C₂×D₄₃)⋊C₄	—	2	2	no	—
432	(C₂×D₄₃)⋊C₄	—	2	2	no	—
433	(C₂×D₄₃)⋊C₄	—	2	2	no	—
434	(C₂×D₄₃)⋊C₄	—	2	2	no	—
435	(C₂×D₄₃)⋊C₄	—	2	2	no	—
436	(C₂×D₄₃)⋊C₄	—	2	2	no	—
437	(C₂×D₄₃)⋊C₄	—	2	2	no	—
438	(C₂×D₄₃)⋊C₄	—	2	2	no	—
439	(C₂×D₄₃)⋊C₄	C₂×D₄	1	2	yes	—
440	(C₂×D₄₃)⋊C₄	C₂×D₄	1	2	yes	—
441	C₄⋊Dic₄₃	—	2	1	no	—
442	C₄⋊Dic₄₃	—	2	1	no	—
443	C₄⋊Dic₄₃	—	2	2	no	—
444	C₄⋊Dic₄₃	—	2	2	no	—
445	C₄⋊Dic₄₃	C₂×D₄	1	1	yes	characteristic
446	C₄⋊Dic₄₃	C₂×D₄	1	1	yes	characteristic
447	C₄⋊Dic₄₃	C₂⁴	1	2	yes	—
448	C₄⋊Dic₄₃	C₂⁴	1	2	yes	—
449	Dic₄₃⋊C₄	—	2	2	no	—
450	Dic₄₃⋊C₄	—	2	2	no	—
451	Dic₄₃⋊C₄	—	2	2	no	—
452	Dic₄₃⋊C₄	—	2	2	no	—
453	Dic₄₃⋊C₄	C₂×D₄	1	2	yes	—
454	Dic₄₃⋊C₄	C₂×D₄	1	2	yes	—
455	C₄×Dic₄₃	—	2	2	no	—
456	C₄×Dic₄₃	—	2	2	no	—
457	C₄×Dic₄₃	C₂×D₄	1	2	yes	—
458	C₄×Dic₄₃	C₂×D₄	1	2	yes	—
459	C₄×Dic₄₃	C₂⁴	1	2	yes	—
460	#10621877	—	2	2	no	—
461	#10621877	—	2	2	no	—
462	C₂×C₄₃⋊C₈	C₂⁴	1	2	yes	—
463	C₂×C₄₃⋊C₈	C₂⁴	1	2	yes	—
464	D₃₄₄	—	2	4	no	—
465	D₃₄₄	—	2	4	no	—
466	C₂³×C₄₃	—	2	1	no	—
467	C₂³×C₄₃	—	2	1	no	—
468	C₂³×C₄₃	C₂²×D₄	1	1	yes	characteristic
469	C₂²×D₄₃	—	2	2	no	—
470	C₂²×D₄₃	—	2	8	no	—
471	C₂²×D₄₃	—	2	4	no	—
472	C₂²×D₄₃	—	2	2	no	—
473	C₂²×D₄₃	—	4	2	no	—
474	C₂²×D₄₃	—	8	2	no	—
475	C₂²×D₄₃	—	8	2	no	—
476	C₂²×D₄₃	—	8	1	no	—
477	C₂²×D₄₃	—	8	1	no	—
478	C₂²×D₄₃	—	8	1	no	—
479	C₂²×D₄₃	—	8	1	no	—
480	C₂²×D₄₃	C₂²×D₄	1	2	yes	—
481	Q₈×C₄₃	—	2	1	no	—
482	Q₈×C₄₃	—	2	1	no	—
483	Q₈×C₄₃	—	2	1	no	—
484	Q₈×C₄₃	C₂×#41	1	2	yes	—
485	D₄×C₄₃	—	2	4	no	—
486	D₄×C₄₃	—	2	1	no	—
487	D₄×C₄₃	—	2	1	no	—
488	D₄×C₄₃	—	2	1	no	—
489	D₄×C₄₃	—	4	2	no	—
490	D₄×C₄₃	C₂×#41	1	2	yes	—
491	C₂×C₄×C₄₃	—	2	1	no	—
492	C₂×C₄×C₄₃	—	2	4	no	—
493	C₂×C₄×C₄₃	—	2	2	no	—
494	C₂×C₄×C₄₃	—	2	1	no	—
495	C₂×C₄×C₄₃	—	2	1	no	—
496	C₂×C₄×C₄₃	—	2	1	no	—
497	C₂×C₄×C₄₃	—	2	1	no	—
498	C₂×C₄×C₄₃	—	2	1	no	—
499	C₂×C₄×C₄₃	—	4	1	no	—
500	C₂×C₄×C₄₃	—	4	2	no	—
501	C₂×C₄×C₄₃	—	4	2	no	—
502	C₂×C₄×C₄₃	—	4	2	no	—
503	C₂×C₄×C₄₃	—	8	1	no	—
504	C₂×C₄×C₄₃	—	8	1	no	—
505	C₂×C₄×C₄₃	C₂²×D₄	1	1	yes	characteristic
506	C₂×C₄×C₄₃	C₂²×D₄	1	1	yes	characteristic
507	C₂×C₄×C₄₃	C₂²×D₄	1	1	yes	characteristic
508	C₂×C₄×C₄₃	C₂²×D₄	1	1	yes	characteristic
509	C₂×C₄×C₄₃	C₂²×D₄	1	1	yes	characteristic
510	C₂×C₄×C₄₃	C₂×#41	1	2	yes	—
511	C₂×C₄×C₄₃	C₂×#41	1	2	yes	—
512	C₂×C₄×C₄₃	C₂⁵	1	1	yes	characteristic
513	C₂²⋊D₄₃	—	2	8	no	—
514	C₂²⋊D₄₃	—	2	4	no	—
515	C₂²⋊D₄₃	—	8	2	no	—
516	C₂²⋊D₄₃	—	8	2	no	—
517	C₂²⋊D₄₃	—	8	2	no	—
518	C₂×Dic₄₃	—	2	2	no	—
519	C₂×Dic₄₃	—	2	2	no	—
520	C₂×Dic₄₃	—	8	2	no	—
521	C₂×Dic₄₃	—	8	1	no	—
522	C₂×Dic₄₃	—	8	1	no	—
523	C₂×Dic₄₃	C₂²×D₄	1	2	yes	—
524	C₂×Dic₄₃	C₂²×D₄	1	2	yes	—
525	C₂×Dic₄₃	C₂²×D₄	1	2	yes	—
526	D₁₇₂	—	2	8	no	—
527	D₁₇₂	—	2	2	no	—
528	D₁₇₂	—	2	4	no	—
529	D₁₇₂	—	2	2	no	—
530	D₁₇₂	—	2	2	no	—
531	D₁₇₂	—	2	2	no	—
532	D₁₇₂	—	4	2	no	—
533	D₁₇₂	—	8	2	no	—
534	D₁₇₂	—	8	2	no	—
535	D₁₇₂	C₂×#41	1	4	yes	—
536	C₄×D₄₃	—	2	8	no	—
537	C₄×D₄₃	—	2	4	no	—
538	C₄×D₄₃	—	2	2	no	—
539	C₄×D₄₃	—	2	2	no	—
540	C₄×D₄₃	—	4	2	no	—
541	C₄×D₄₃	—	4	4	no	—
542	C₄×D₄₃	—	4	4	no	—
543	C₄×D₄₃	—	8	2	no	—
544	C₄×D₄₃	—	8	2	no	—
545	C₄×D₄₃	—	8	2	no	—
546	C₄×D₄₃	—	8	2	no	—
547	C₄×D₄₃	—	8	2	no	—
548	Dic₈₆	—	2	2	no	—
549	Dic₈₆	—	8	2	no	—
550	C₈×C₄₃	—	2	1	no	—
551	C₈×C₄₃	—	2	1	no	—
552	C₈×C₄₃	—	2	1	no	—
553	C₈×C₄₃	—	2	1	no	—
554	C₄₃⋊C₈	—	2	2	no	—
555	C₄₃⋊C₈	—	2	2	no	—
556	#60570	—	43	1	no	maximal, Sylow
557	C₂²×C₄₃	—	2	1	no	—
558	C₂²×C₄₃	—	2	1	no	—
559	C₂²×C₄₃	—	2	2	no	—
560	C₂²×C₄₃	—	4	1	no	—
561	C₂²×C₄₃	—	4	1	no	—
562	C₂²×C₄₃	—	4	1	no	—
563	C₂²×C₄₃	—	4	1	no	—
564	C₂²×C₄₃	—	4	1	no	—
565	C₂²×C₄₃	#525	1	2	yes	—
566	C₂²×C₄₃	C₂³×D₄	1	1	yes	characteristic
567	C₂×D₄₃	—	2	2	no	—
568	C₂×D₄₃	—	2	4	no	—
569	C₂×D₄₃	—	2	2	no	—
570	C₂×D₄₃	—	2	2	no	—
571	C₂×D₄₃	—	4	2	no	—
572	C₂×D₄₃	—	4	2	no	—
573	C₂×D₄₃	—	4	2	no	—
574	C₂×D₄₃	—	4	2	no	—
575	C₂×D₄₃	—	4	2	no	—
576	C₂×D₄₃	—	8	4	no	—
577	C₂×D₄₃	—	8	8	no	—
578	C₂×D₄₃	—	8	4	no	—
579	C₄×C₄₃	—	2	1	no	—
580	C₄×C₄₃	—	2	1	no	—
581	C₄×C₄₃	—	2	2	no	—
582	C₄×C₄₃	—	2	1	no	—
583	C₄×C₄₃	—	4	1	no	—
584	C₄×C₄₃	—	4	1	no	—
585	C₄×C₄₃	—	4	1	no	—
586	C₄×C₄₃	—	4	1	no	—
587	C₄×C₄₃	—	4	1	no	—
588	C₄×C₄₃	#525	1	2	yes	—
589	C₄×C₄₃	#576	1	2	yes	—
590	C₄×C₄₃	C₂²×#41	1	1	yes	characteristic
591	C₄×C₄₃	C₂²×#41	1	1	yes	characteristic
592	Dic₄₃	—	2	2	no	—
593	Dic₄₃	—	2	2	no	—
594	Dic₄₃	—	2	2	no	—
595	Dic₄₃	—	4	2	no	—
596	Dic₄₃	—	4	2	no	—
597	#3460	—	43	1	no	—
598	C₄×H(5,𝔽₂)	—	43	1	no	—
599	#3124	—	43	2	no	—
600	#3122	—	43	2	no	—
601	#3119	—	43	2	no	—
602	#3118	—	43	2	no	—
603	#3106	—	43	2	no	—
604	#3105	—	43	2	no	—
605	#3102	—	43	2	no	—
606	#3100	—	43	2	no	—
607	#3098	—	43	1	no	—
608	#3096	—	43	1	no	—
609	#3083	—	43	1	no	—
610	#3081	—	43	1	no	—
611	#3045	—	43	1	no	—
612	#3041	—	43	1	no	—
613	#3012	—	43	1	no	—
614	#3008	—	43	1	no	—
615	C₄×AGL(1,ℤ/8)	—	43	1	no	—
616	C₄×AGL(1,ℤ/8)	—	43	1	no	—
617	C₄×#135	D₄₃	1	1	yes	characteristic, complemented
618	C₂×C₄×D₈	—	43	1	no	—
619	#2922	—	43	1	no	—
620	C₂×C₄₃	—	2	2	no	—
621	C₂×C₄₃	—	4	2	no	—
622	C₂×C₄₃	—	8	1	no	—
623	C₂×C₄₃	C₂×#525	1	1	yes	characteristic
624	C₂×C₄₃	C₂×#576	1	1	yes	characteristic
625	C₂×C₄₃	#3584	1	1	yes	characteristic
626	D₄₃	—	4	2	no	—
627	D₄₃	—	4	4	no	—
628	D₄₃	—	8	2	no	—
629	C₂×H(5,𝔽₂)	—	43	1	no	—
630	C₂×AGL(1,ℤ/8)	—	43	1	no	—
631	C₂×AGL(1,ℤ/8)	—	43	1	no	—
632	C₂×#135	C₂×D₄₃	1	1	yes	characteristic
633	C₂²×D₈	—	43	1	no	—
634	#544	—	43	1	no	—
635	#542	—	43	2	no	—
636	#542	—	86	1	no	—
637	#540	—	43	2	no	—
638	#540	—	86	1	no	—
639	#538	—	86	2	no	—
640	#537	—	43	1	no	—
641	#535	—	43	1	no	—
642	#535	—	43	1	no	—
643	#532	—	43	2	no	—
644	#532	—	86	1	no	—
645	#529	—	43	2	no	—
646	#529	—	86	1	no	—
647	#525	—	86	2	no	—
648	#520	—	43	1	no	—
649	#520	—	43	1	no	—
650	#520	—	43	2	no	—
651	#520	—	86	1	no	—
652	#518	—	43	2	no	—
653	#518	—	43	1	no	—
654	#518	—	86	1	no	—
655	#518	—	86	2	no	—
656	C₄×#41	—	43	1	no	—
657	C₄×#41	—	43	2	no	—
658	C₄×#41	—	86	1	no	—
659	C₄×#41	C₂×D₄₃	1	1	yes	characteristic
660	C₄×#41	C₂×D₄₃	1	1	yes	characteristic, complemented
661	C₂×C₄×D₄	—	43	2	no	—
662	C₂×C₄×D₄	—	43	1	no	—
663	C₂×C₄×D₄	—	43	1	no	—
664	C₂×C₄×D₄	—	86	1	no	—
665	C₂×C₄×D₄	—	86	2	no	—
666	#485	—	43	2	no	—
667	#484	—	43	2	no	—
668	#482	—	43	2	no	—
669	#482	—	43	2	no	—
670	#482	—	43	2	no	—
671	#481	—	43	2	no	—
672	#480	—	43	2	no	—
673	#480	—	43	2	no	—
674	#479	—	43	2	no	—
675	#478	—	43	2	no	—
676	#478	—	43	2	no	—
677	#478	—	43	2	no	—
678	#477	—	43	2	no	—
679	#476	—	43	2	no	—
680	#474	—	43	2	no	—
681	#474	—	43	2	no	—
682	#464	—	43	2	no	—
683	#463	—	43	2	no	—
684	#463	—	43	2	no	—
685	#463	—	43	2	no	—
686	#460	—	43	2	no	—
687	#459	—	43	2	no	—
688	#459	—	43	2	no	—
689	#459	—	43	2	no	—
690	#452	—	43	2	no	—
691	#450	—	43	2	no	—
692	#449	—	43	2	no	—
693	#449	—	43	2	no	—
694	#449	—	43	2	no	—
695	#447	—	43	2	no	—
696	#447	—	43	2	no	—
697	#447	—	43	2	no	—
698	#442	—	43	2	no	—
699	#442	—	43	2	no	—
700	#440	—	43	2	no	—
701	#440	—	43	2	no	—
702	C₄×Q₁₆	C₂×D₄₃	1	1	yes	characteristic, complemented
703	C₄×Q₁₆	C₂×D₄₃	1	1	yes	characteristic, complemented
704	C₄×SD₁₆	—	43	2	no	—
705	C₄×SD₁₆	—	43	2	no	—
706	C₄×SD₁₆	C₂×D₄₃	1	1	yes	characteristic, complemented
707	C₄×SD₁₆	C₂×D₄₃	1	1	yes	characteristic, complemented
708	C₄×SD₁₆	C₂×D₄₃	1	1	yes	characteristic, complemented
709	C₄×SD₁₆	C₂×D₄₃	1	1	yes	characteristic, complemented
710	C₄×D₈	—	43	2	no	—
711	C₄×D₈	—	43	2	no	—
712	C₄×D₈	—	43	2	no	—
713	C₄×D₈	—	43	2	no	—
714	C₄×D₈	—	43	2	no	—
715	C₄×D₈	—	43	2	no	—
716	C₄×D₈	C₂×D₄₃	1	1	yes	characteristic, complemented
717	C₄×D₈	C₂×D₄₃	1	1	yes	characteristic, complemented
718	#433	—	43	2	no	—
719	#433	—	43	2	no	—
720	#431	—	43	2	no	—
721	#431	—	43	2	no	—
722	#428	—	43	1	no	—
723	#428	—	43	1	no	—
724	#427	C₂×D₄₃	1	1	yes	characteristic, complemented
725	C₂×#107	—	43	1	no	—
726	#424	—	43	1	no	—
727	#424	—	43	1	no	—
728	#418	—	43	1	no	—
729	#418	—	43	1	no	—
730	#417	—	43	1	no	—
731	#417	—	43	1	no	—
732	#416	C₂×D₄₃	1	1	yes	characteristic
733	#416	C₂×D₄₃	1	1	yes	characteristic, complemented
734	C₂×#102	—	43	1	no	—
735	C₂×#102	—	43	1	no	—
736	#408	—	43	1	no	—
737	#408	—	43	1	no	—
738	C₄×M₁₆	—	43	1	no	—
739	C₂×C₄×C₈	C₂×D₄₃	1	1	yes	characteristic, complemented
740	C₄₃	#60570	1	1	yes	characteristic, complemented, Sylow
741	H(5,𝔽₂)	—	86	4	no	—
742	H(5,𝔽₂)	—	86	4	no	—
743	C₂×#41	—	43	1	no	—
744	C₂×#41	—	43	2	no	—
745	C₂×#41	—	86	2	no	—
746	C₂×#41	—	86	1	no	—
747	C₂×#41	C₂²×D₄₃	1	1	yes	characteristic
748	C₂×#41	C₂²×D₄₃	1	1	yes	characteristic
749	C₂²×D₄	—	43	2	no	—
750	C₂²×D₄	—	43	1	no	—
751	C₂²×D₄	—	43	1	no	—
752	C₂²×D₄	—	86	1	no	—
753	C₂²×D₄	—	86	2	no	—
754	C₂³×C₄	—	86	2	no	—
755	C₂³×C₄	—	86	1	no	—
756	C₂³×C₄	—	86	1	no	—
757	AGL(1,ℤ/8)	—	86	4	no	—
758	AGL(1,ℤ/8)	—	86	4	no	—
759	#135	—	2	4	no	—
760	C₂×Q₁₆	C₂²×D₄₃	1	1	yes	characteristic
761	C₂×SD₁₆	—	43	2	no	—
762	C₂×SD₁₆	—	43	2	no	—
763	C₂×SD₁₆	C₂²×D₄₃	1	1	yes	characteristic
764	C₂×SD₁₆	C₂²×D₄₃	1	1	yes	characteristic
765	C₂×D₈	—	43	2	no	—
766	C₂×D₈	—	43	2	no	—
767	C₂×D₈	—	43	2	no	—
768	C₂×D₈	—	43	2	no	—
769	C₂×D₈	—	86	4	no	—
770	C₂×D₈	C₂²×D₄₃	1	1	yes	characteristic
771	C₂×M₁₆	—	43	1	no	—
772	C₂×M₁₆	—	43	1	no	—
773	C₂²×C₈	C₂²×D₄₃	1	1	yes	characteristic
774	C₂²×C₈	C₂²×D₄₃	1	1	yes	characteristic
775	C₄⋊Q₈	—	43	2	no	—
776	C₄⋊Q₈	—	86	1	no	—
777	#127	—	43	2	no	—
778	#127	—	86	1	no	—
779	#126	—	86	2	no	—
780	#126	—	86	2	no	—
781	#125	—	43	2	no	—
782	#125	—	86	1	no	—
783	#124	—	43	2	no	—
784	#124	—	86	2	no	—
785	#124	—	86	1	no	—
786	#124	—	86	2	no	—
787	#123	—	86	2	no	—
788	#123	—	86	2	no	—
789	#123	—	86	2	no	—
790	#123	—	86	2	no	—
791	C₂²⋊Q₈	—	43	2	no	—
792	C₂²⋊Q₈	—	86	2	no	—
793	C₂²⋊Q₈	—	86	2	no	—
794	C₂²⋊Q₈	—	86	1	no	—
795	#121	—	43	2	no	—
796	#121	—	43	2	no	—
797	#121	—	43	2	no	—
798	#121	—	86	2	no	—
799	#121	—	86	2	no	—
800	#121	—	86	2	no	—
801	#121	—	86	1	no	—
802	#121	—	86	1	no	—
803	#121	—	86	1	no	—
804	#121	—	86	2	no	—
805	#120	—	86	2	no	—
806	#120	—	86	2	no	—
807	C₄×Q₈	—	43	1	no	—
808	C₄×Q₈	—	43	1	no	—
809	C₄×Q₈	—	43	2	no	—
810	C₄×Q₈	—	86	1	no	—
811	C₄×Q₈	C₂²×D₄₃	1	1	yes	characteristic
812	C₄×Q₈	C₂²×D₄₃	1	1	yes	characteristic
813	C₄×Q₈	C₂²×D₄₃	1	1	yes	characteristic
814	C₄×Q₈	C₂²×D₄₃	1	1	yes	characteristic
815	C₄×D₄	—	2	1	no	—
816	C₄×D₄	—	2	1	no	—
817	C₄×D₄	—	2	1	no	—
818	C₄×D₄	—	2	1	no	—
819	C₄×D₄	—	43	2	no	—
820	C₄×D₄	—	43	2	no	—
821	C₄×D₄	—	43	2	no	—
822	C₄×D₄	—	43	2	no	—
823	C₄×D₄	—	43	2	no	—
824	C₄×D₄	—	43	1	no	—
825	C₄×D₄	—	43	1	no	—
826	C₄×D₄	—	43	2	no	—
827	C₄×D₄	—	43	2	no	—
828	C₄×D₄	—	43	2	no	—
829	C₄×D₄	—	43	2	no	—
830	C₄×D₄	—	86	2	no	—
831	C₄×D₄	—	86	1	no	—
832	C₄×D₄	—	86	1	no	—
833	C₄×D₄	—	86	2	no	—
834	C₄×D₄	—	86	2	no	—
835	C₄×D₄	—	86	1	no	—
836	C₄×D₄	—	86	2	no	—
837	C₄×D₄	—	86	2	no	—
838	C₄×D₄	—	86	2	no	—
839	C₄×D₄	—	86	2	no	—
840	C₄×D₄	—	86	2	no	—
841	C₄×D₄	—	86	2	no	—
842	C₄×D₄	—	86	2	no	—
843	C₄×D₄	—	86	2	no	—
844	C₄×D₄	—	86	2	no	—
845	C₄×D₄	—	86	1	no	—
846	C₄×D₄	—	86	1	no	—
847	C₄×D₄	—	86	1	no	—
848	C₄×D₄	—	86	1	no	—
849	C₄×D₄	C₂²×D₄₃	1	1	yes	characteristic
850	C₄×D₄	C₂²×D₄₃	1	1	yes	characteristic
851	C₄×D₄	C₂²×D₄₃	1	1	yes	characteristic
852	C₄×D₄	C₂²×D₄₃	1	1	yes	characteristic
853	#117	—	2	1	no	—
854	#117	—	2	1	no	—
855	#117	—	43	1	no	—
856	#117	—	43	2	no	—
857	#117	—	43	2	no	—
858	#117	—	86	2	no	—
859	#117	—	86	2	no	—
860	#117	—	86	2	no	—
861	#117	—	86	1	no	—
862	#117	C₂²×D₄₃	1	1	yes	characteristic
863	#117	C₂²×D₄₃	1	1	yes	characteristic
864	C₂×C₄⋊C₄	—	43	1	no	—
865	C₂×C₄⋊C₄	—	43	1	no	—
866	C₂×C₄⋊C₄	—	43	2	no	—
867	C₂×C₄⋊C₄	—	86	2	no	—
868	C₂×C₄⋊C₄	—	86	1	no	—
869	C₂×C₂²⋊C₄	—	86	2	no	—
870	C₂×C₂²⋊C₄	—	86	2	no	—
871	C₂×C₂²⋊C₄	—	86	2	no	—
872	C₂×C₂²⋊C₄	—	86	2	no	—
873	C₂×C₂²⋊C₄	—	86	1	no	—
874	C₂×C₂²⋊C₄	—	86	1	no	—
875	C₂×C₄²	—	2	1	no	—
876	C₂×C₄²	—	2	1	no	—
877	C₂×C₄²	—	43	2	no	—
878	C₂×C₄²	—	86	2	no	—
879	C₂×C₄²	C₂²×D₄₃	1	1	yes	characteristic
880	#107	—	43	2	no	—
881	#107	—	43	2	no	—
882	#107	—	43	2	no	—
883	#107	—	43	2	no	—
884	#107	C₂²×D₄₃	1	1	yes	characteristic
885	#107	C₂²×D₄₃	1	1	yes	characteristic
886	#106	—	43	2	no	—
887	#106	—	43	2	no	—
888	#106	C₂²×D₄₃	1	1	yes	characteristic
889	#106	C₂²×D₄₃	1	1	yes	characteristic
890	C₄⋊C₈	—	43	2	no	—
891	C₄⋊C₈	—	43	2	no	—
892	C₄⋊C₈	—	43	2	no	—
893	C₄⋊C₈	—	43	2	no	—
894	#103	—	43	2	no	—
895	#103	—	43	2	no	—
896	#103	C₂²×D₄₃	1	1	yes	characteristic
897	#103	C₂²×D₄₃	1	1	yes	characteristic
898	#103	C₂²×D₄₃	1	1	yes	characteristic
899	#103	C₂²×D₄₃	1	1	yes	characteristic
900	#102	—	43	2	no	—
901	#102	—	43	2	no	—
902	#102	—	43	2	no	—
903	#102	—	43	2	no	—
904	#102	—	43	2	no	—
905	#102	—	43	2	no	—
906	#102	—	43	2	no	—
907	#102	—	43	2	no	—
908	#102	—	43	2	no	—
909	#102	—	43	2	no	—
910	#102	C₂²×D₄₃	1	1	yes	characteristic
911	#102	C₂²×D₄₃	1	1	yes	characteristic
912	#102	C₂²×D₄₃	1	1	yes	characteristic
913	#102	C₂²×D₄₃	1	1	yes	characteristic
914	C₂²⋊C₈	—	43	2	no	—
915	C₂²⋊C₈	—	43	2	no	—
916	C₂²⋊C₈	—	43	2	no	—
917	C₂²⋊C₈	—	43	2	no	—
918	#97	—	43	2	no	—
919	C₄×C₈	—	43	2	no	—
920	C₄×C₈	C₂²×D₄₃	1	1	yes	characteristic
921	C₄×C₈	C₂²×D₄₃	1	1	yes	characteristic
922	C₄×C₈	C₂²×D₄₃	1	1	yes	characteristic
923	C₄×C₈	C₂²×D₄₃	1	1	yes	characteristic
924	C₂⁴	—	86	2	no	—
925	C₂⁴	—	86	1	no	—
926	C₂⁴	—	86	1	no	—
927	#41	—	2	2	no	—
928	#41	—	2	2	no	—
929	#41	—	2	2	no	—
930	#41	—	86	8	no	—
931	#41	—	86	4	no	—
932	#41	—	86	4	no	—
933	#41	—	86	2	no	—
934	#41	—	86	2	no	—
935	#41	—	344	4	no	—
936	#41	#10621898	1	4	yes	complemented
937	C₂×Q₈	—	43	1	no	—
938	C₂×Q₈	—	86	2	no	—
939	C₂×Q₈	C₂³×D₄₃	1	1	yes	characteristic
940	C₂×Q₈	C₂³×D₄₃	1	1	yes	characteristic
941	C₂×D₄	—	2	1	no	—
942	C₂×D₄	—	2	1	no	—
943	C₂×D₄	—	43	2	no	—
944	C₂×D₄	—	43	1	no	—
945	C₂×D₄	—	43	4	no	—
946	C₂×D₄	—	43	2	no	—
947	C₂×D₄	—	43	2	no	—
948	C₂×D₄	—	86	2	no	—
949	C₂×D₄	—	86	8	no	—
950	C₂×D₄	—	86	2	no	—
951	C₂×D₄	—	86	2	no	—
952	C₂×D₄	—	86	2	no	—
953	C₂×D₄	—	86	2	no	—
954	C₂×D₄	—	86	2	no	—
955	C₂×D₄	—	86	4	no	—
956	C₂×D₄	—	86	16	no	—
957	C₂×D₄	—	86	4	no	—
958	C₂×D₄	—	86	2	no	—
959	C₂×D₄	—	86	1	no	—
960	C₂×D₄	—	86	1	no	—
961	C₂×D₄	—	86	2	no	—
962	C₂×D₄	—	86	2	no	—
963	C₂×D₄	—	86	2	no	—
964	C₂×D₄	C₂³×D₄₃	1	1	yes	characteristic
965	C₂×D₄	C₂³×D₄₃	1	1	yes	characteristic
966	C₂²×C₄	—	2	1	no	—
967	C₂²×C₄	—	2	1	no	—
968	C₂²×C₄	—	2	1	no	—
969	C₂²×C₄	—	2	1	no	—
970	C₂²×C₄	—	2	1	no	—
971	C₂²×C₄	—	2	1	no	—
972	C₂²×C₄	—	43	2	no	—
973	C₂²×C₄	—	43	2	no	—
974	C₂²×C₄	—	43	2	no	—
975	C₂²×C₄	—	86	2	no	—
976	C₂²×C₄	—	86	2	no	—
977	C₂²×C₄	—	86	2	no	—
978	C₂²×C₄	—	86	2	no	—
979	C₂²×C₄	—	86	2	no	—
980	C₂²×C₄	—	86	1	no	—
981	C₂²×C₄	—	86	1	no	—
982	C₂²×C₄	—	86	2	no	—
983	C₂²×C₄	—	86	2	no	—
984	C₂²×C₄	—	86	2	no	—
985	C₂²×C₄	—	86	2	no	—
986	C₂²×C₄	—	344	2	no	—
987	C₂²×C₄	—	344	2	no	—
988	C₂²×C₄	—	344	4	no	—
989	C₂²×C₄	D₄×D₄₃	1	1	yes	characteristic
990	C₂²×C₄	D₄×D₄₃	1	1	yes	characteristic
991	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
992	Q₁₆	—	2	2	no	—
993	SD₁₆	—	2	2	no	—
994	SD₁₆	—	2	2	no	—
995	SD₁₆	—	86	4	no	—
996	SD₁₆	—	86	4	no	—
997	D₈	—	2	2	no	—
998	D₈	—	86	4	no	—
999	D₈	—	86	4	no	—
1000	D₈	—	86	4	no	—
1001	D₈	—	86	4	no	—
1002	M₁₆	—	86	2	no	—
1003	M₁₆	—	86	2	no	—
1004	C₂×C₈	—	2	2	no	—
1005	C₂×C₈	—	2	2	no	—
1006	C₂×C₈	—	43	2	no	—
1007	C₂×C₈	—	43	2	no	—
1008	C₂×C₈	C₂³×D₄₃	1	1	yes	characteristic
1009	C₂×C₈	C₂³×D₄₃	1	1	yes	characteristic
1010	C₂×C₈	C₂³×D₄₃	1	1	yes	characteristic
1011	C₂×C₈	C₂³×D₄₃	1	1	yes	characteristic
1012	C₄⋊C₄	—	2	1	no	—
1013	C₄⋊C₄	—	2	1	no	—
1014	C₄⋊C₄	—	2	1	no	—
1015	C₄⋊C₄	—	2	1	no	—
1016	C₄⋊C₄	—	43	1	no	—
1017	C₄⋊C₄	—	43	2	no	—
1018	C₄⋊C₄	—	43	1	no	—
1019	C₄⋊C₄	—	43	2	no	—
1020	C₄⋊C₄	—	43	2	no	—
1021	C₄⋊C₄	—	43	2	no	—
1022	C₄⋊C₄	—	86	2	no	—
1023	C₄⋊C₄	—	86	2	no	—
1024	C₄⋊C₄	—	86	2	no	—
1025	C₄⋊C₄	—	86	2	no	—
1026	C₄⋊C₄	—	86	2	no	—
1027	C₄⋊C₄	—	86	2	no	—
1028	C₄⋊C₄	—	86	1	no	—
1029	C₄⋊C₄	—	86	1	no	—
1030	C₄⋊C₄	C₂³×D₄₃	1	1	yes	characteristic
1031	C₄⋊C₄	C₂³×D₄₃	1	1	yes	characteristic
1032	C₄⋊C₄	C₂³×D₄₃	1	1	yes	characteristic
1033	C₄⋊C₄	C₂³×D₄₃	1	1	yes	characteristic
1034	C₂²⋊C₄	—	2	1	no	—
1035	C₂²⋊C₄	—	2	1	no	—
1036	C₂²⋊C₄	—	2	1	no	—
1037	C₂²⋊C₄	—	2	1	no	—
1038	C₂²⋊C₄	—	2	1	no	—
1039	C₂²⋊C₄	—	2	1	no	—
1040	C₂²⋊C₄	—	43	2	no	—
1041	C₂²⋊C₄	—	43	2	no	—
1042	C₂²⋊C₄	—	43	2	no	—
1043	C₂²⋊C₄	—	86	2	no	—
1044	C₂²⋊C₄	—	86	2	no	—
1045	C₂²⋊C₄	—	86	2	no	—
1046	C₂²⋊C₄	—	86	2	no	—
1047	C₂²⋊C₄	—	86	2	no	—
1048	C₂²⋊C₄	—	86	2	no	—
1049	C₂²⋊C₄	—	86	2	no	—
1050	C₂²⋊C₄	—	86	2	no	—
1051	C₂²⋊C₄	—	86	2	no	—
1052	C₂²⋊C₄	—	86	2	no	—
1053	C₂²⋊C₄	—	86	2	no	—
1054	C₂²⋊C₄	—	86	2	no	—
1055	C₂²⋊C₄	—	86	2	no	—
1056	C₂²⋊C₄	—	86	2	no	—
1057	C₄²	—	2	1	no	—
1058	C₄²	—	2	1	no	—
1059	C₄²	—	2	1	no	—
1060	C₄²	—	2	1	no	—
1061	C₄²	—	2	1	no	—
1062	C₄²	—	2	1	no	—
1063	C₄²	—	43	2	no	—
1064	C₄²	—	43	2	no	—
1065	C₄²	—	43	2	no	—
1066	C₄²	—	86	2	no	—
1067	C₄²	—	86	2	no	—
1068	C₄²	D₄×D₄₃	1	1	yes	characteristic
1069	C₄²	D₄×D₄₃	1	1	yes	characteristic
1070	C₄²	C₂³×D₄₃	1	1	yes	characteristic
1071	C₄²	C₂³×D₄₃	1	1	yes	characteristic
1072	C₂³	—	2	1	no	—
1073	C₂³	—	2	1	no	—
1074	C₂³	—	43	2	no	—
1075	C₂³	—	86	8	no	—
1076	C₂³	—	86	4	no	—
1077	C₂³	—	86	2	no	—
1078	C₂³	—	86	2	no	—
1079	C₂³	—	344	1	no	—
1080	C₂³	—	344	1	no	—
1081	C₂³	—	344	1	no	—
1082	C₂³	—	344	1	no	—
1083	C₂³	—	344	2	no	—
1084	C₂³	—	344	2	no	—
1085	C₂³	—	172	2	no	—
1086	C₂³	C₂×D₄×D₄₃	1	1	yes	characteristic
1087	Q₈	—	2	1	no	—
1088	Q₈	—	2	1	no	—
1089	Q₈	—	2	1	no	—
1090	Q₈	—	86	2	no	—
1091	Q₈	—	344	2	no	—
1092	Q₈	C₂×#10621898	1	2	yes	—
1093	D₄	—	2	4	no	—
1094	D₄	—	2	1	no	—
1095	D₄	—	2	1	no	—
1096	D₄	—	2	1	no	—
1097	D₄	—	4	2	no	—
1098	D₄	—	43	4	no	—
1099	D₄	—	86	8	no	—
1100	D₄	—	86	8	no	—
1101	D₄	—	86	4	no	—
1102	D₄	—	86	4	no	—
1103	D₄	—	86	2	no	—
1104	D₄	—	86	2	no	—
1105	D₄	—	86	2	no	—
1106	D₄	—	86	2	no	—
1107	D₄	—	344	2	no	—
1108	D₄	—	344	2	no	—
1109	D₄	—	344	2	no	—
1110	D₄	—	344	2	no	—
1111	D₄	—	344	2	no	—
1112	D₄	—	172	2	no	—
1113	D₄	C₂×#10621898	1	2	yes	—
1114	C₂×C₄	—	2	1	no	—
1115	C₂×C₄	—	2	4	no	—
1116	C₂×C₄	—	2	2	no	—
1117	C₂×C₄	—	2	1	no	—
1118	C₂×C₄	—	2	1	no	—
1119	C₂×C₄	—	2	1	no	—
1120	C₂×C₄	—	2	1	no	—
1121	C₂×C₄	—	2	1	no	—
1122	C₂×C₄	—	4	1	no	—
1123	C₂×C₄	—	4	2	no	—
1124	C₂×C₄	—	4	2	no	—
1125	C₂×C₄	—	4	2	no	—
1126	C₂×C₄	—	8	1	no	—
1127	C₂×C₄	—	8	1	no	—
1128	C₂×C₄	—	43	2	no	—
1129	C₂×C₄	—	43	2	no	—
1130	C₂×C₄	—	43	2	no	—
1131	C₂×C₄	—	86	8	no	—
1132	C₂×C₄	—	86	4	no	—
1133	C₂×C₄	—	86	2	no	—
1134	C₂×C₄	—	86	2	no	—
1135	C₂×C₄	—	86	2	no	—
1136	C₂×C₄	—	86	2	no	—
1137	C₂×C₄	—	344	2	no	—
1138	C₂×C₄	—	344	2	no	—
1139	C₂×C₄	—	344	2	no	—
1140	C₂×C₄	—	344	2	no	—
1141	C₂×C₄	—	344	2	no	—
1142	C₂×C₄	—	344	2	no	—
1143	C₂×C₄	—	344	1	no	—
1144	C₂×C₄	—	344	1	no	—
1145	C₂×C₄	—	172	2	no	—
1146	C₂×C₄	—	172	4	no	—
1147	C₂×C₄	—	172	4	no	—
1148	C₂×C₄	C₂×D₄×D₄₃	1	1	yes	characteristic
1149	C₂×C₄	C₂×D₄×D₄₃	1	1	yes	characteristic
1150	C₂×C₄	C₂×D₄×D₄₃	1	1	yes	characteristic
1151	C₂×C₄	C₂×D₄×D₄₃	1	1	yes	characteristic
1152	C₂×C₄	C₂×D₄×D₄₃	1	1	yes	characteristic
1153	C₂×C₄	#41×D₄₃	1	2	yes	—
1154	C₂×C₄	C₂×#10621898	1	2	yes	—
1155	C₂×C₄	C₂⁴×D₄₃	1	1	yes	characteristic
1156	C₈	—	2	1	no	—
1157	C₈	—	2	1	no	—
1158	C₈	—	2	1	no	—
1159	C₈	—	2	1	no	—
1160	C₈	—	86	2	no	—
1161	C₈	—	86	2	no	—
1162	C₂²	—	2	1	no	—
1163	C₂²	—	2	1	no	—
1164	C₂²	—	2	2	no	—
1165	C₂²	—	4	1	no	—
1166	C₂²	—	4	1	no	—
1167	C₂²	—	4	1	no	—
1168	C₂²	—	4	1	no	—
1169	C₂²	—	4	1	no	—
1170	C₂²	—	86	2	no	—
1171	C₂²	—	86	2	no	—
1172	C₂²	—	86	4	no	—
1173	C₂²	—	86	2	no	—
1174	C₂²	—	344	4	no	—
1175	C₂²	—	344	4	no	—
1176	C₂²	—	344	8	no	—
1177	C₂²	—	172	2	no	—
1178	C₂²	—	172	2	no	—
1179	C₂²	—	172	2	no	—
1180	C₂²	—	172	2	no	—
1181	C₂²	—	172	2	no	—
1182	C₂²	#14583408	1	2	yes	—
1183	C₂²	C₂²×D₄×D₄₃	1	1	yes	characteristic
1184	C₄	—	2	1	no	—
1185	C₄	—	2	1	no	—
1186	C₄	—	2	1	no	—
1187	C₄	—	2	2	no	—
1188	C₄	—	4	1	no	—
1189	C₄	—	4	1	no	—
1190	C₄	—	4	1	no	—
1191	C₄	—	4	1	no	—
1192	C₄	—	4	1	no	—
1193	C₄	—	86	2	no	—
1194	C₄	—	86	2	no	—
1195	C₄	—	86	2	no	—
1196	C₄	—	172	2	no	—
1197	C₄	—	172	2	no	—
1198	C₄	#14583408	1	2	yes	—
1199	C₄	#14583701	1	2	yes	—
1200	C₄	C₂×#41×D₄₃	1	1	yes	characteristic
1201	C₄	C₂²×#10621898	1	1	yes	characteristic
1202	C₂	—	2	2	no	—
1203	C₂	—	4	2	no	—
1204	C₂	—	8	1	no	—
1205	C₂	—	344	2	no	—
1206	C₂	—	172	2	no	—
1207	C₂	—	172	4	no	—
1208	C₂	C₂×#14583408	1	1	yes	characteristic
1209	C₂	C₂×#14583701	1	1	yes	characteristic
1210	C₂	#19149364	1	1	yes	characteristic

	subgroup	G/H
center	C₂×C₄	C₂×D₄×D₄₃
commutator, cosocle	C₂×C₄×C₄₃	C₂⁵
Frattini	C₂×C₄	C₂⁴×D₄₃
Fitting	C₄×#135×C₄₃	C₂
socle	C₂²×C₄₃	C₂³×D₄
hypercenter	C₄×#135	D₄₃
hypocenter	C₄₃	#60570
LCS	G ▷ C₂×C₄×C₄₃ ▷ C₂×C₄₃ ▷ C₄₃
UCS	C₁ ◁ C₂×C₄ ◁ C₂×C₄² ◁ C₄×#135

Complements

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

N	H ≅ G/N	type
1. #19148011	C₂	semidirect
2. C₄×#13063371	C₂	semidirect
3. #19144863	C₂	semidirect
4. #19144835	C₂	semidirect
5. #19144800	C₂	semidirect
6. #19144785	C₂	semidirect
7. #19144653	C₂	semidirect
8. #19144646	C₂	semidirect
9. #19144619	C₂	semidirect
10. #19144593	C₂	semidirect
11. #19144571	C₂	semidirect
12. #19144556	C₂	semidirect
13. #19144444	C₂	semidirect
14. #19144429	C₂	semidirect
15. #19144132	C₂	semidirect
16. #19144101	C₂	semidirect
17. #19143895	C₂	semidirect
18. #19143866	C₂	semidirect
19. C₄×#13063350	C₂	semidirect
20. C₄×#13063350	C₂	semidirect
21. C₂×C₄×D₃₄₄	C₂	semidirect
22. #19143237	C₂	semidirect
23. C₄×#135×C₄₃	C₂	semidirect
28. #14583527	C₂²	semidirect
29. #14583521	C₂²	semidirect
32. #14583500	C₂²	semidirect
36. #14583463	C₂²	semidirect
38. #14583446	C₂²	semidirect
39. #14583436	C₂²	semidirect
43. #14583381	C₂²	semidirect
49. #14583371	C₂²	semidirect
50. C₄×#10621902	C₂²	semidirect
55. C₂×C₄×D₁₇₂	C₂²	semidirect
57. C₄×D₄×D₄₃	C₂²	semidirect
58. #14583239	C₂²	semidirect
59. #14583233	C₂²	semidirect
60. #14583226	C₂²	semidirect
61. #14583225	C₂²	semidirect
62. #14583221	C₂²	semidirect
63. #14583219	C₂²	semidirect
64. #14583214	C₂²	semidirect
65. #14583211	C₂²	semidirect
66. #14583208	C₂²	semidirect
67. #14583202	C₂²	semidirect
68. #14583198	C₂²	semidirect
69. #14583197	C₂²	semidirect
70. #14583192	C₂²	semidirect
71. #14583188	C₂²	semidirect
72. #14583178	C₂²	semidirect
73. #14583177	C₂²	semidirect
74. #14583123	C₂²	semidirect
75. #14583117	C₂²	semidirect
76. #14583117	C₂²	semidirect
77. #14583116	C₂²	semidirect
78. #14583097	C₂²	semidirect
79. #14583093	C₂²	semidirect
80. #14583093	C₂²	semidirect
81. #14583092	C₂²	semidirect
82. #14583060	C₂²	semidirect
83. #14583048	C₂²	semidirect
86. #14583043	C₂²	semidirect
89. #14583031	C₂²	semidirect
90. #14583009	C₂²	semidirect
91. #14583009	C₂²	semidirect
92. #14582997	C₂²	semidirect
93. #14582997	C₂²	semidirect
94. C₄×#10621884	C₂²	semidirect
95. C₄×#10621884	C₂²	semidirect
96. C₄×D₃₄₄	C₂²	semidirect
97. C₄×D₃₄₄	C₂²	semidirect
98. C₄×D₃₄₄	C₂²	semidirect
99. C₄×D₃₄₄	C₂²	semidirect
100. C₄×#10621882	C₂²	semidirect
101. C₄×#10621882	C₂²	semidirect
102. #14582958	C₂²	semidirect
103. #14582958	C₂²	semidirect
104. #14582950	C₂²	semidirect
105. #14582950	C₂²	semidirect
106. #14582942	C₂²	semidirect
107. #14582942	C₂²	semidirect
108. C₂×#13063259	C₂²	semidirect
109. #14582925	C₂²	semidirect
110. #14582925	C₂²	semidirect
112. #14582903	C₂²	semidirect
114. #14582900	C₂²	semidirect
116. C₂×#13063247	C₂²	semidirect
119. C₄×#10621877	C₂²	semidirect
122. C₄×#41×C₄₃	C₂²	semidirect
123. C₄×Q₁₆×C₄₃	C₂²	semidirect
124. C₄×Q₁₆×C₄₃	C₂²	semidirect
125. C₄×SD₁₆×C₄₃	C₂²	semidirect
126. C₄×SD₁₆×C₄₃	C₂²	semidirect
127. C₄×SD₁₆×C₄₃	C₂²	semidirect
128. C₄×SD₁₆×C₄₃	C₂²	semidirect
129. C₄×D₈×C₄₃	C₂²	semidirect
130. C₄×D₈×C₄₃	C₂²	semidirect
131. C₄₃×#427	C₂²	semidirect
133. C₄₃×#416	C₂²	semidirect
134. C₂×C₄×C₈×C₄₃	C₂²	semidirect
324. #41×C₄₃	#41	semidirect
367. C₂×D₁₇₂	#41	semidirect
617. C₄×#135	D₄₃	semidirect
660. C₄×#41	C₂×D₄₃	semidirect
702. C₄×Q₁₆	C₂×D₄₃	semidirect
703. C₄×Q₁₆	C₂×D₄₃	semidirect
706. C₄×SD₁₆	C₂×D₄₃	semidirect
707. C₄×SD₁₆	C₂×D₄₃	semidirect
708. C₄×SD₁₆	C₂×D₄₃	semidirect
709. C₄×SD₁₆	C₂×D₄₃	semidirect
716. C₄×D₈	C₂×D₄₃	semidirect
717. C₄×D₈	C₂×D₄₃	semidirect
724. #427	C₂×D₄₃	semidirect
733. #416	C₂×D₄₃	semidirect
739. C₂×C₄×C₈	C₂×D₄₃	semidirect
740. C₄₃	#60570	semidirect
936. #41	#10621898	semidirect

Maximal subgroups

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

subgroup	index
#19148011	2
C₄×#13063371	2
#19144863	2
#19144835	2
#19144800	2
#19144785	2
#19144653	2
#19144646	2
#19144619	2
#19144593	2
#19144571	2
#19144556	2
#19144444	2
#19144429	2
#19144132	2
#19144101	2
#19143895	2
#19143866	2
C₄×#13063350	2
C₂×C₄×D₃₄₄	2
#19143237	2
C₄×#135×C₄₃	2
#60570	43