Subgroups — D₄₃×#3324 #25973418

Order 11008.

2566 conjugacy classes of subgroups.

The subgroup lattice has 1284 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#556×D₄₃	C₂	1	1	yes	maximal, characteristic, complemented
2	D₄²×D₄₃	C₂	1	1	yes	maximal, characteristic
3	#19146829	C₂	1	1	yes	maximal, characteristic, complemented
4	#19146828	C₂	1	1	yes	maximal, characteristic, complemented
5	#19146827	C₂	1	1	yes	maximal, characteristic, complemented
6	#19146826	C₂	1	1	yes	maximal, characteristic, complemented
7	#19146825	C₂	1	1	yes	maximal, characteristic, complemented
8	#19146824	C₂	1	2	yes	maximal, complemented
9	#19146823	C₂	1	1	yes	maximal, characteristic, complemented
10	#19146822	C₂	1	2	yes	maximal, complemented
11	#19146821	C₂	1	2	yes	maximal, complemented
12	#19146820	C₂	1	1	yes	maximal, characteristic, complemented
13	#19146819	C₂	1	2	yes	maximal, complemented
14	#486×D₄₃	C₂	1	1	yes	maximal, characteristic, complemented
15	#482×D₄₃	C₂	1	2	yes	maximal, complemented
16	#474×D₄₃	C₂	1	1	yes	maximal, characteristic, complemented
17	#468×D₄₃	C₂	1	2	yes	maximal, complemented
18	#460×D₄₃	C₂	1	1	yes	maximal, characteristic, complemented
19	#450×D₄₃	C₂	1	2	yes	maximal, complemented
20	C₄×SD₁₆×D₄₃	C₂	1	1	yes	maximal, characteristic, complemented
21	#436×D₄₃	C₂	1	1	yes	maximal, characteristic, complemented
22	#418×D₄₃	C₂	1	2	yes	maximal, complemented
23	C₄₃×#3324	C₂	1	1	yes	maximal, characteristic, complemented
24	C₂²×D₄×D₄₃	—	2	1	no	—
25	C₂²×D₄×D₄₃	C₂²	1	2	yes	—
26	C₂×SD₁₆×D₄₃	C₂²	1	1	yes	characteristic
27	C₂×SD₁₆×D₄₃	C₂²	1	2	yes	complemented
28	C₂×M₁₆×D₄₃	C₂²	1	2	yes	complemented
29	#14583623	C₂²	1	1	yes	characteristic, complemented
30	#14583622	C₂²	1	1	yes	characteristic, complemented
31	#14583621	—	2	1	no	—
32	#14583620	C₂²	1	2	yes	complemented
33	#14583619	C₂²	1	1	yes	characteristic, complemented
34	#14583618	—	2	1	no	—
35	#14583617	C₂²	1	2	yes	complemented
36	#14583616	—	2	2	no	—
37	D₄×D₁₇₂	C₂²	1	1	yes	characteristic
38	D₄×D₁₇₂	C₂²	1	1	yes	characteristic
39	#14583534	C₂²	1	1	yes	characteristic
40	#14583533	—	2	1	no	—
41	#14583533	C₂²	1	2	yes	—
42	D₄×C₂²⋊D₄₃	—	2	1	no	—
43	D₄×C₂²⋊D₄₃	C₂²	1	2	yes	—
44	#14583531	—	2	2	no	—
45	C₄⋊Q₈×D₄₃	C₂²	1	1	yes	characteristic, complemented
46	#127×D₄₃	C₂²	1	1	yes	characteristic
47	#126×D₄₃	—	2	2	no	—
48	#124×D₄₃	—	2	1	no	—
49	C₂²⋊Q₈×D₄₃	C₂²	1	2	yes	complemented
50	#121×D₄₃	—	2	1	no	—
51	#121×D₄₃	C₂²	1	2	yes	—
52	#120×D₄₃	—	2	2	no	—
53	C₄×Q₈×D₄₃	—	2	1	no	—
54	C₄×Q₈×D₄₃	C₂²	1	1	yes	characteristic, complemented
55	C₄×D₄×D₄₃	C₂²	1	1	yes	characteristic
56	C₄×D₄×D₄₃	C₂²	1	1	yes	characteristic
57	#117×D₄₃	C₂²	1	2	yes	complemented
58	#14583247	C₂²	1	1	yes	characteristic, complemented
59	#14583246	C₂²	1	1	yes	characteristic, complemented
60	#14583245	C₂²	1	1	yes	characteristic, complemented
61	#14583244	C₂²	1	2	yes	complemented
62	#14583244	C₂²	1	2	yes	complemented
63	#14583226	C₂²	1	2	yes	complemented
64	#14583225	C₂²	1	2	yes	complemented
65	#14583224	C₂²	1	2	yes	complemented
66	#14583223	C₂²	1	2	yes	complemented
67	#14583222	C₂²	1	2	yes	complemented
68	#14583221	C₂²	1	2	yes	complemented
69	#14583220	C₂²	1	2	yes	complemented
70	#14583180	C₂²	1	1	yes	characteristic, complemented
71	#14583179	C₂²	1	1	yes	characteristic, complemented
72	#14583178	C₂²	1	2	yes	complemented
73	#14583177	C₂²	1	2	yes	complemented
74	#14583176	C₂²	1	1	yes	characteristic, complemented
75	#14583148	C₂²	1	2	yes	complemented
76	#14583147	C₂²	1	2	yes	complemented
77	#14583146	C₂²	1	2	yes	complemented
78	#14583145	C₂²	1	2	yes	complemented
79	#14583144	C₂²	1	2	yes	complemented
80	#14583143	C₂²	1	2	yes	complemented
81	#14583142	C₂²	1	2	yes	complemented
82	#14583100	C₂²	1	1	yes	characteristic, complemented
83	#14583099	C₂²	1	1	yes	characteristic, complemented
84	#14583098	C₂²	1	2	yes	complemented
85	#14583097	C₂²	1	2	yes	complemented
86	#14583096	C₂²	1	1	yes	characteristic, complemented
87	#14583052	C₂²	1	2	yes	complemented
88	#14583051	C₂²	1	2	yes	complemented
89	#14583051	C₂²	1	2	yes	complemented
90	#14583050	C₂²	1	2	yes	complemented
91	#14583049	C₂²	1	2	yes	complemented
92	#14583048	C₂²	1	2	yes	complemented
93	#14583048	C₂²	1	2	yes	complemented
94	#14582990	C₂²	1	1	yes	characteristic, complemented
95	C₄×#10621873	C₂²	1	1	yes	characteristic, complemented
96	SD₁₆×Dic₄₃	C₂²	1	1	yes	characteristic, complemented
97	C₄×#10621884	C₂²	1	1	yes	characteristic, complemented
98	#14582986	C₂²	1	1	yes	characteristic, complemented
99	C₄×#10621883	C₂²	1	1	yes	characteristic, complemented
100	#14582984	C₂²	1	1	yes	characteristic, complemented
101	#14582978	C₂²	1	1	yes	characteristic, complemented
102	#14582977	C₂²	1	1	yes	characteristic, complemented
103	#14582976	C₂²	1	1	yes	characteristic, complemented
104	#14582975	C₂²	1	2	yes	complemented
105	#14582974	C₂²	1	2	yes	complemented
106	#107×D₄₃	C₂²	1	2	yes	complemented
107	#106×D₄₃	C₂²	1	1	yes	characteristic, complemented
108	C₄⋊C₈×D₄₃	C₂²	1	1	yes	characteristic, complemented
109	#14582905	C₂²	1	2	yes	complemented
110	#14582904	C₂²	1	2	yes	complemented
111	#14582903	C₂²	1	2	yes	complemented
112	#14582902	C₂²	1	2	yes	complemented
113	#14582902	C₂²	1	2	yes	complemented
114	#14582902	C₂²	1	2	yes	complemented
115	#14582902	C₂²	1	2	yes	complemented
116	#103×D₄₃	C₂²	1	1	yes	characteristic, complemented
117	#102×D₄₃	C₂²	1	2	yes	—
118	#102×D₄₃	C₂²	1	1	yes	characteristic
119	#102×D₄₃	C₂²	1	2	yes	complemented
120	#102×D₄₃	C₂²	1	2	yes	complemented
121	#102×D₄₃	C₂²	1	2	yes	complemented
122	C₂²⋊C₈×D₄₃	C₂²	1	2	yes	complemented
123	C₄×C₈×D₄₃	C₂²	1	1	yes	characteristic, complemented
124	C₄₃×#556	C₂²	1	1	yes	characteristic, complemented
125	D₄²×C₄₃	C₂²	1	1	yes	characteristic
126	C₄₃×#486	C₂²	1	1	yes	characteristic, complemented
127	C₄₃×#482	C₂²	1	2	yes	complemented
128	C₄₃×#474	C₂²	1	1	yes	characteristic, complemented
129	C₄₃×#468	C₂²	1	2	yes	complemented
130	C₄₃×#460	C₂²	1	1	yes	characteristic, complemented
131	C₄₃×#450	C₂²	1	2	yes	complemented
132	C₄×SD₁₆×C₄₃	C₂²	1	1	yes	characteristic, complemented
133	C₄₃×#436	C₂²	1	1	yes	characteristic, complemented
134	C₄₃×#418	C₂²	1	2	yes	complemented
135	C₂⁴×D₄₃	—	2	2	no	—
136	C₂×Q₈×D₄₃	—	2	1	no	—
137	C₂×Q₈×D₄₃	C₂³	1	1	yes	characteristic
138	C₂²×D₁₇₂	—	2	1	no	—
139	C₂²×D₁₇₂	C₂³	1	2	yes	—
140	C₂²×C₂²⋊D₄₃	—	2	2	no	—
141	C₂²×C₂²⋊D₄₃	—	2	2	no	—
142	C₂×D₄×D₄₃	—	2	8	no	—
143	C₂×D₄×D₄₃	—	2	2	no	—
144	C₂×D₄×D₄₃	—	2	1	no	—
145	C₂×D₄×D₄₃	—	2	2	no	—
146	C₂×D₄×D₄₃	—	2	1	no	—
147	C₂×D₄×D₄₃	—	2	2	no	—
148	C₂×D₄×D₄₃	—	2	1	no	—
149	C₂×D₄×D₄₃	—	2	2	no	—
150	C₂×D₄×D₄₃	—	2	1	no	—
151	C₂×D₄×D₄₃	—	4	4	no	—
152	C₂×D₄×D₄₃	—	4	8	no	—
153	C₂×D₄×D₄₃	D₄	1	1	yes	characteristic
154	C₂×D₄×D₄₃	C₂³	1	2	yes	—
155	C₂×D₄×D₄₃	C₂³	1	2	yes	—
156	C₂×D₄×D₄₃	C₂³	1	2	yes	—
157	C₂×D₄×D₄₃	C₂³	1	1	yes	characteristic
158	C₂²×C₄×D₄₃	—	2	1	no	—
159	C₂²×C₄×D₄₃	C₂³	1	2	yes	—
160	C₂×#10621873	C₂³	1	1	yes	characteristic
161	C₂×#10621873	C₂³	1	2	yes	complemented
162	C₂×#10621883	C₂³	1	1	yes	characteristic
163	C₂×#10621883	C₂³	1	2	yes	complemented
164	C₂×#10621884	C₂³	1	1	yes	characteristic
165	C₂×#10621884	C₂³	1	2	yes	complemented
166	SD₁₆×D₄₃	—	2	4	no	—
167	SD₁₆×D₄₃	—	4	4	no	—
168	C₂×#10621877	C₂³	1	2	yes	complemented
169	C₂×#10621872	C₂³	1	2	yes	complemented
170	C₂×#10621872	C₂³	1	2	yes	complemented
171	M₁₆×D₄₃	—	4	4	no	—
172	C₂×C₈×D₄₃	C₂³	1	1	yes	characteristic
173	C₂×C₈×D₄₃	C₂³	1	1	yes	characteristic
174	C₂×C₈×D₄₃	C₂³	1	2	yes	—
175	#13063325	C₂³	1	1	yes	characteristic, complemented
176	#13063324	—	2	1	no	—
177	#13063324	C₂³	1	2	yes	complemented
178	#13063323	—	2	1	no	—
179	#13063322	C₂³	1	1	yes	characteristic
180	#13063321	—	2	1	no	—
181	#13063321	—	2	1	no	—
182	#13063321	C₂³	1	2	yes	—
183	#13063320	—	2	2	no	—
184	#13063320	—	2	2	no	—
185	#13063320	—	2	2	no	—
186	#13063319	—	2	2	no	—
187	#13063318	—	2	2	no	—
188	#13063318	—	2	2	no	—
189	#13063318	—	2	2	no	—
190	#13063314	—	2	1	no	—
191	#13063313	—	2	1	no	—
192	#13063312	—	2	1	no	—
193	#13063311	—	2	2	no	—
194	#13063311	—	2	2	no	—
195	#13063305	C₂³	1	2	yes	complemented
196	#13063304	C₂³	1	2	yes	complemented
197	#13063303	—	2	2	no	—
198	#13063302	—	2	2	no	—
199	#13063301	C₂³	1	2	yes	complemented
200	#13063300	—	2	1	no	—
201	#13063300	C₂³	1	2	yes	—
202	#13063299	—	2	1	no	—
203	#13063299	C₂³	1	2	yes	—
204	#13063298	—	2	2	no	—
205	#13063298	—	2	2	no	—
206	#13063297	—	2	2	no	—
207	#13063297	—	2	2	no	—
208	#13063296	—	2	1	no	—
209	#13063296	C₂³	1	2	yes	—
210	#13063295	—	2	2	no	—
211	#13063295	—	2	2	no	—
212	#13063295	—	2	2	no	—
213	#13063294	—	2	2	no	—
214	#13063293	—	2	2	no	—
215	#13063293	—	2	2	no	—
216	#13063293	—	2	2	no	—
217	Q₈×Dic₄₃	—	2	1	no	—
218	Q₈×Dic₄₃	C₂³	1	1	yes	characteristic, complemented
219	C₄×Dic₈₆	—	2	1	no	—
220	C₄×Dic₈₆	—	2	2	no	—
221	C₄×Dic₈₆	—	2	1	no	—
222	C₄×Dic₈₆	C₂³	1	1	yes	characteristic, complemented
223	#13063290	—	2	1	no	—
224	#13063290	—	2	2	no	—
225	#13063290	—	2	1	no	—
226	#13063290	C₂³	1	1	yes	characteristic, complemented
227	C₄×D₁₇₂	C₂³	1	1	yes	characteristic
228	C₄×D₁₇₂	C₂³	1	1	yes	characteristic
229	D₄×Dic₄₃	D₄	1	1	yes	characteristic
230	D₄×Dic₄₃	C₂³	1	1	yes	characteristic
231	#13063287	D₄	1	1	yes	characteristic
232	#13063287	C₂³	1	1	yes	characteristic
233	C₄×C₂²⋊D₄₃	—	2	1	no	—
234	C₄×C₂²⋊D₄₃	C₂³	1	2	yes	—
235	(C₂²⋊D₄₃)⋊C₄	—	2	1	no	—
236	(C₂²⋊D₄₃)⋊C₄	D₄	1	2	yes	—
237	#13063284	C₂³	1	2	yes	complemented
238	#13063283	C₂³	1	2	yes	complemented
239	#13063283	C₂³	1	2	yes	complemented
240	#13063282	—	2	2	no	—
241	#13063281	—	2	2	no	—
242	C₄⋊C₄×D₄₃	—	2	2	no	—
243	C₄⋊C₄×D₄₃	—	2	1	no	—
244	C₄⋊C₄×D₄₃	—	2	1	no	—
245	C₄⋊C₄×D₄₃	D₄	1	1	yes	characteristic
246	C₄⋊C₄×D₄₃	C₂³	1	1	yes	characteristic
247	C₄⋊C₄×D₄₃	C₂³	1	2	yes	—
248	C₄⋊C₄×D₄₃	C₂³	1	1	yes	characteristic
249	C₂²⋊C₄×D₄₃	—	2	2	no	—
250	C₂²⋊C₄×D₄₃	—	2	2	no	—
251	C₂²⋊C₄×D₄₃	—	2	1	no	—
252	C₂²⋊C₄×D₄₃	—	2	2	no	—
253	C₂²⋊C₄×D₄₃	D₄	1	2	yes	—
254	C₄²×D₄₃	—	2	2	no	—
255	C₄²×D₄₃	—	2	1	no	—
256	C₄²×D₄₃	C₂³	1	1	yes	characteristic
257	#13063259	C₂³	1	2	yes	complemented
258	#13063258	C₂³	1	2	yes	complemented
259	#13063258	C₂³	1	2	yes	complemented
260	#13063257	C₂³	1	1	yes	characteristic, complemented
261	#13063256	C₂³	1	1	yes	characteristic, complemented
262	#13063256	C₂³	1	1	yes	characteristic, complemented
263	C₄⋊(C₄₃⋊C₈)	C₂³	1	1	yes	characteristic, complemented
264	Dic₄₃⋊C₈	C₂³	1	2	yes	complemented
265	#13063250	C₂³	1	1	yes	characteristic, complemented
266	#13063249	C₂³	1	1	yes	characteristic, complemented
267	#13063248	C₂³	1	1	yes	characteristic, complemented
268	#13063247	C₂³	1	2	yes	—
269	#13063247	C₂³	1	1	yes	characteristic
270	#13063247	C₂³	1	2	yes	complemented
271	#13063247	C₂³	1	2	yes	complemented
272	#13063247	C₂³	1	2	yes	complemented
273	#13063246	C₂³	1	2	yes	—
274	#13063246	C₂³	1	1	yes	characteristic
275	#13063246	C₂³	1	2	yes	complemented
276	#13063246	C₂³	1	2	yes	complemented
277	#13063246	C₂³	1	2	yes	complemented
278	#13063245	C₂³	1	2	yes	—
279	#13063245	C₂³	1	1	yes	characteristic
280	#13063245	C₂³	1	2	yes	complemented
281	#13063245	C₂³	1	2	yes	complemented
282	#13063245	C₂³	1	2	yes	complemented
283	C₂²⋊(C₄₃⋊C₈)	C₂³	1	2	yes	complemented
284	(C₂×D₄₃)⋊C₈	C₂³	1	2	yes	complemented
285	(C₂×D₄₃)⋊C₈	C₂³	1	2	yes	complemented
286	C₄×C₄₃⋊C₈	C₂³	1	1	yes	characteristic, complemented
287	C₈×Dic₄₃	C₂³	1	1	yes	characteristic, complemented
288	C₈×Dic₄₃	C₂³	1	1	yes	characteristic, complemented
289	C₂²×D₄×C₄₃	—	2	1	no	—
290	C₂²×D₄×C₄₃	C₂³	1	2	yes	—
291	C₂×SD₁₆×C₄₃	C₂³	1	1	yes	characteristic
292	C₂×SD₁₆×C₄₃	C₂³	1	2	yes	complemented
293	C₂×M₁₆×C₄₃	C₂³	1	2	yes	complemented
294	C₄⋊Q₈×C₄₃	C₂³	1	1	yes	characteristic, complemented
295	#127×C₄₃	C₂³	1	1	yes	characteristic
296	#126×C₄₃	—	2	2	no	—
297	#124×C₄₃	—	2	1	no	—
298	C₂²⋊Q₈×C₄₃	C₂³	1	2	yes	complemented
299	#121×C₄₃	—	2	1	no	—
300	#121×C₄₃	C₂³	1	2	yes	—
301	#120×C₄₃	—	2	2	no	—
302	C₄×Q₈×C₄₃	—	2	1	no	—
303	C₄×Q₈×C₄₃	C₂³	1	1	yes	characteristic, complemented
304	C₄×D₄×C₄₃	C₂³	1	1	yes	characteristic
305	C₄×D₄×C₄₃	C₂³	1	1	yes	characteristic
306	#117×C₄₃	C₂³	1	2	yes	complemented
307	#107×C₄₃	C₂³	1	2	yes	complemented
308	#106×C₄₃	C₂³	1	1	yes	characteristic, complemented
309	C₄⋊C₈×C₄₃	C₂³	1	1	yes	characteristic, complemented
310	#103×C₄₃	C₂³	1	1	yes	characteristic, complemented
311	#102×C₄₃	C₂³	1	2	yes	—
312	#102×C₄₃	C₂³	1	1	yes	characteristic
313	#102×C₄₃	C₂³	1	2	yes	complemented
314	#102×C₄₃	C₂³	1	2	yes	complemented
315	#102×C₄₃	C₂³	1	2	yes	complemented
316	C₂²⋊C₈×C₄₃	C₂³	1	2	yes	complemented
317	C₄×C₈×C₄₃	C₂³	1	1	yes	characteristic, complemented
318	C₂⁴×C₄₃	—	2	2	no	—
319	C₂³×D₄₃	—	2	1	no	—
320	C₂³×D₄₃	—	2	2	no	—
321	C₂³×D₄₃	—	2	2	no	—
322	C₂³×D₄₃	—	2	2	no	—
323	C₂³×D₄₃	—	2	2	no	—
324	C₂³×D₄₃	—	4	8	no	—
325	C₂³×D₄₃	—	4	8	no	—
326	C₂³×D₄₃	—	8	4	no	—
327	C₂³×D₄₃	C₂×D₄	1	2	yes	—
328	C₂×Q₈×C₄₃	—	2	1	no	—
329	C₂×Q₈×C₄₃	C₂⁴	1	1	yes	characteristic
330	C₂×D₄×C₄₃	—	2	2	no	—
331	C₂×D₄×C₄₃	—	2	1	no	—
332	C₂×D₄×C₄₃	—	2	1	no	—
333	C₂×D₄×C₄₃	—	2	2	no	—
334	C₂×D₄×C₄₃	—	2	4	no	—
335	C₂×D₄×C₄₃	—	4	2	no	—
336	C₂×D₄×C₄₃	—	4	4	no	—
337	C₂×D₄×C₄₃	C₂×D₄	1	1	yes	characteristic
338	C₂×D₄×C₄₃	C₂⁴	1	2	yes	—
339	C₂×D₄×C₄₃	C₂⁴	1	1	yes	characteristic
340	C₂²×C₄×C₄₃	—	2	1	no	—
341	C₂²×C₄×C₄₃	C₂⁴	1	2	yes	—
342	C₂×C₂²⋊D₄₃	—	2	1	no	—
343	C₂×C₂²⋊D₄₃	—	2	2	no	—
344	C₂×C₂²⋊D₄₃	—	2	2	no	—
345	C₂×C₂²⋊D₄₃	—	2	2	no	—
346	C₂×C₂²⋊D₄₃	—	2	2	no	—
347	C₂×C₂²⋊D₄₃	—	2	2	no	—
348	C₂×C₂²⋊D₄₃	—	2	2	no	—
349	C₂×C₂²⋊D₄₃	—	2	2	no	—
350	C₂×C₂²⋊D₄₃	—	4	8	no	—
351	C₂×C₂²⋊D₄₃	—	4	8	no	—
352	C₂×C₂²⋊D₄₃	C₂×D₄	1	2	yes	—
353	C₂²×Dic₄₃	—	2	1	no	—
354	C₂²×Dic₄₃	C₂×D₄	1	2	yes	—
355	Q₈×D₄₃	—	2	2	no	—
356	Q₈×D₄₃	—	2	2	no	—
357	Q₈×D₄₃	—	4	4	no	—
358	D₄×D₄₃	—	2	4	no	—
359	D₄×D₄₃	—	2	2	no	—
360	D₄×D₄₃	—	2	4	no	—
361	D₄×D₄₃	—	2	4	no	—
362	D₄×D₄₃	—	2	4	no	—
363	D₄×D₄₃	—	2	4	no	—
364	D₄×D₄₃	—	4	8	no	—
365	D₄×D₄₃	—	4	8	no	—
366	D₄×D₄₃	—	4	2	no	—
367	D₄×D₄₃	—	4	2	no	—
368	D₄×D₄₃	—	4	8	no	—
369	D₄×D₄₃	—	4	4	no	—
370	D₄×D₄₃	—	4	8	no	—
371	D₄×D₄₃	—	4	4	no	—
372	D₄×D₄₃	—	4	4	no	—
373	D₄×D₄₃	—	8	2	no	—
374	D₄×D₄₃	#41	1	4	yes	—
375	C₂×D₁₇₂	—	2	2	no	—
376	C₂×D₁₇₂	—	2	1	no	—
377	C₂×D₁₇₂	—	2	1	no	—
378	C₂×D₁₇₂	—	2	2	no	—
379	C₂×D₁₇₂	—	2	4	no	—
380	C₂×D₁₇₂	—	4	2	no	—
381	C₂×D₁₇₂	—	4	4	no	—
382	C₂×D₁₇₂	C₂×D₄	1	1	yes	characteristic
383	C₂×D₁₇₂	C₂⁴	1	2	yes	—
384	C₂×D₁₇₂	C₂⁴	1	1	yes	characteristic
385	C₂×C₄×D₄₃	—	2	4	no	—
386	C₂×C₄×D₄₃	—	2	4	no	—
387	C₂×C₄×D₄₃	—	2	1	no	—
388	C₂×C₄×D₄₃	—	2	1	no	—
389	C₂×C₄×D₄₃	—	2	1	no	—
390	C₂×C₄×D₄₃	—	2	1	no	—
391	C₂×C₄×D₄₃	—	2	2	no	—
392	C₂×C₄×D₄₃	—	2	1	no	—
393	C₂×C₄×D₄₃	—	4	4	no	—
394	C₂×C₄×D₄₃	C₂×D₄	1	2	yes	—
395	C₂×C₄×D₄₃	C₂×D₄	1	1	yes	characteristic
396	C₂×C₄×D₄₃	C₂×D₄	1	2	yes	—
397	C₂×C₄×D₄₃	C₂×D₄	1	1	yes	characteristic
398	C₂×C₄×D₄₃	C₂⁴	1	2	yes	—
399	C₂×C₄×D₄₃	C₂⁴	1	1	yes	characteristic
400	C₂×Dic₈₆	—	2	1	no	—
401	C₂×Dic₈₆	—	2	1	no	—
402	C₂×Dic₈₆	—	2	2	no	—
403	C₂×Dic₈₆	C₂⁴	1	1	yes	characteristic
404	SD₁₆×C₄₃	—	2	2	no	—
405	SD₁₆×C₄₃	—	4	2	no	—
406	M₁₆×C₄₃	—	4	2	no	—
407	C₂×C₈×C₄₃	C₂⁴	1	1	yes	characteristic
408	C₂×C₈×C₄₃	C₂⁴	1	1	yes	characteristic
409	C₂×C₈×C₄₃	C₂⁴	1	2	yes	—
410	C₄⋊C₄×C₄₃	—	2	2	no	—
411	C₄⋊C₄×C₄₃	—	2	1	no	—
412	C₄⋊C₄×C₄₃	—	2	1	no	—
413	C₄⋊C₄×C₄₃	C₂×D₄	1	1	yes	characteristic
414	C₄⋊C₄×C₄₃	C₂⁴	1	1	yes	characteristic
415	C₄⋊C₄×C₄₃	C₂⁴	1	2	yes	—
416	C₄⋊C₄×C₄₃	C₂⁴	1	1	yes	characteristic
417	C₂²⋊C₄×C₄₃	—	2	1	no	—
418	C₂²⋊C₄×C₄₃	—	2	2	no	—
419	C₂²⋊C₄×C₄₃	—	2	2	no	—
420	C₂²⋊C₄×C₄₃	—	2	2	no	—
421	C₂²⋊C₄×C₄₃	C₂×D₄	1	2	yes	—
422	C₄²×C₄₃	—	2	2	no	—
423	C₄²×C₄₃	—	2	1	no	—
424	C₄²×C₄₃	C₂⁴	1	1	yes	characteristic
425	C₂²⋊Dic₄₃	—	2	1	no	—
426	C₂²⋊Dic₄₃	—	2	2	no	—
427	C₂²⋊Dic₄₃	—	2	2	no	—
428	C₂²⋊Dic₄₃	—	2	2	no	—
429	C₂²⋊Dic₄₃	C₂×D₄	1	2	yes	—
430	#10621884	—	2	2	no	—
431	#10621884	—	4	2	no	—
432	#10621883	—	2	2	no	—
433	#10621883	—	4	2	no	—
434	(C₂×D₄₃)⋊C₄	—	2	1	no	—
435	(C₂×D₄₃)⋊C₄	—	2	2	no	—
436	(C₂×D₄₃)⋊C₄	—	2	1	no	—
437	(C₂×D₄₃)⋊C₄	—	2	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	C₂×D₄	1	2	yes	—
443	(C₂×D₄₃)⋊C₄	C₂×D₄	1	2	yes	—
444	C₄⋊Dic₄₃	—	2	1	no	—
445	C₄⋊Dic₄₃	—	2	2	no	—
446	C₄⋊Dic₄₃	—	2	1	no	—
447	C₄⋊Dic₄₃	C₂×D₄	1	1	yes	characteristic
448	C₄⋊Dic₄₃	C₂⁴	1	1	yes	characteristic
449	C₄⋊Dic₄₃	C₂⁴	1	2	yes	—
450	C₄⋊Dic₄₃	C₂⁴	1	1	yes	characteristic
451	Dic₄₃⋊C₄	—	2	2	no	—
452	Dic₄₃⋊C₄	—	2	1	no	—
453	Dic₄₃⋊C₄	—	2	2	no	—
454	Dic₄₃⋊C₄	—	2	1	no	—
455	Dic₄₃⋊C₄	—	2	2	no	—
456	Dic₄₃⋊C₄	—	2	1	no	—
457	Dic₄₃⋊C₄	—	2	2	no	—
458	Dic₄₃⋊C₄	—	2	1	no	—
459	Dic₄₃⋊C₄	C₂×D₄	1	2	yes	—
460	C₄×Dic₄₃	—	2	2	no	—
461	C₄×Dic₄₃	—	2	1	no	—
462	C₄×Dic₄₃	—	2	2	no	—
463	C₄×Dic₄₃	—	2	2	no	—
464	C₄×Dic₄₃	—	2	1	no	—
465	C₄×Dic₄₃	—	2	1	no	—
466	C₄×Dic₄₃	C₂×D₄	1	1	yes	characteristic
467	C₄×Dic₄₃	C₂×D₄	1	1	yes	characteristic
468	C₄×Dic₄₃	C₂⁴	1	1	yes	characteristic
469	#10621877	—	4	2	no	—
470	C₂×C₄₃⋊C₈	C₂⁴	1	1	yes	characteristic
471	C₂×C₄₃⋊C₈	C₂⁴	1	1	yes	characteristic
472	C₂×C₄₃⋊C₈	C₂⁴	1	2	yes	—
473	#10621873	—	2	2	no	—
474	#10621873	—	4	2	no	—
475	#10621872	—	4	2	no	—
476	#10621872	—	4	2	no	—
477	C₈×D₄₃	—	2	2	no	—
478	C₈×D₄₃	—	2	2	no	—
479	C₈×D₄₃	—	2	4	no	—
480	C₂³×C₄₃	—	2	1	no	—
481	C₂³×C₄₃	—	2	2	no	—
482	C₂³×C₄₃	—	4	4	no	—
483	C₂³×C₄₃	—	4	4	no	—
484	C₂³×C₄₃	—	8	2	no	—
485	C₂³×C₄₃	C₂²×D₄	1	2	yes	—
486	C₂²×D₄₃	—	2	1	no	—
487	C₂²×D₄₃	—	2	4	no	—
488	C₂²×D₄₃	—	2	4	no	—
489	C₂²×D₄₃	—	2	4	no	—
490	C₂²×D₄₃	—	2	4	no	—
491	C₂²×D₄₃	—	2	2	no	—
492	C₂²×D₄₃	—	4	4	no	—
493	C₂²×D₄₃	—	4	4	no	—
494	C₂²×D₄₃	—	4	4	no	—
495	C₂²×D₄₃	—	4	4	no	—
496	C₂²×D₄₃	—	4	4	no	—
497	C₂²×D₄₃	—	4	2	no	—
498	C₂²×D₄₃	—	4	2	no	—
499	C₂²×D₄₃	—	4	4	no	—
500	C₂²×D₄₃	—	4	4	no	—
501	C₂²×D₄₃	—	4	4	no	—
502	C₂²×D₄₃	—	4	4	no	—
503	C₂²×D₄₃	—	8	2	no	—
504	C₂²×D₄₃	—	8	2	no	—
505	C₂²×D₄₃	—	8	2	no	—
506	C₂²×D₄₃	—	8	32	no	—
507	C₂²×D₄₃	C₂²×D₄	1	2	yes	—
508	C₂²×D₄₃	C₂²×D₄	1	1	yes	characteristic
509	Q₈×C₄₃	—	2	1	no	—
510	Q₈×C₄₃	—	2	1	no	—
511	Q₈×C₄₃	—	4	2	no	—
512	D₄×C₄₃	—	2	2	no	—
513	D₄×C₄₃	—	2	2	no	—
514	D₄×C₄₃	—	2	1	no	—
515	D₄×C₄₃	—	2	2	no	—
516	D₄×C₄₃	—	4	4	no	—
517	D₄×C₄₃	—	4	4	no	—
518	D₄×C₄₃	—	4	2	no	—
519	D₄×C₄₃	—	8	1	no	—
520	D₄×C₄₃	C₂×#41	1	2	yes	—
521	C₂×C₄×C₄₃	—	2	2	no	—
522	C₂×C₄×C₄₃	—	2	2	no	—
523	C₂×C₄×C₄₃	—	2	1	no	—
524	C₂×C₄×C₄₃	—	2	1	no	—
525	C₂×C₄×C₄₃	—	2	2	no	—
526	C₂×C₄×C₄₃	—	2	1	no	—
527	C₂×C₄×C₄₃	—	4	2	no	—
528	C₂×C₄×C₄₃	C₂²×D₄	1	2	yes	—
529	C₂×C₄×C₄₃	C₂²×D₄	1	1	yes	characteristic
530	C₂×C₄×C₄₃	C₂²×D₄	1	1	yes	characteristic
531	C₂×C₄×C₄₃	C₂⁵	1	1	yes	characteristic
532	C₂²⋊D₄₃	—	2	4	no	—
533	C₂²⋊D₄₃	—	2	4	no	—
534	C₂²⋊D₄₃	—	4	4	no	—
535	C₂²⋊D₄₃	—	4	4	no	—
536	C₂²⋊D₄₃	—	4	4	no	—
537	C₂²⋊D₄₃	—	4	4	no	—
538	C₂²⋊D₄₃	—	4	4	no	—
539	C₂²⋊D₄₃	—	4	4	no	—
540	C₂²⋊D₄₃	—	8	2	no	—
541	C₂×Dic₄₃	—	2	4	no	—
542	C₂×Dic₄₃	—	2	1	no	—
543	C₂×Dic₄₃	—	2	1	no	—
544	C₂×Dic₄₃	—	2	2	no	—
545	C₂×Dic₄₃	—	2	1	no	—
546	C₂×Dic₄₃	—	4	2	no	—
547	C₂×Dic₄₃	C₂²×D₄	1	2	yes	—
548	C₂×Dic₄₃	C₂²×D₄	1	1	yes	characteristic
549	C₂×Dic₄₃	C₂²×D₄	1	1	yes	characteristic
550	C₂×Dic₄₃	C₂²×D₄	1	1	yes	characteristic
551	D₁₇₂	—	2	2	no	—
552	D₁₇₂	—	2	2	no	—
553	D₁₇₂	—	2	1	no	—
554	D₁₇₂	—	2	2	no	—
555	D₁₇₂	—	4	4	no	—
556	D₁₇₂	—	4	4	no	—
557	D₁₇₂	—	4	2	no	—
558	D₁₇₂	—	8	1	no	—
559	D₁₇₂	C₂×#41	1	2	yes	—
560	C₄×D₄₃	—	2	4	no	—
561	C₄×D₄₃	—	2	2	no	—
562	C₄×D₄₃	—	2	2	no	—
563	C₄×D₄₃	—	2	2	no	—
564	C₄×D₄₃	—	2	4	no	—
565	C₄×D₄₃	—	4	2	no	—
566	C₄×D₄₃	—	4	2	no	—
567	C₄×D₄₃	—	4	4	no	—
568	C₄×D₄₃	—	4	2	no	—
569	C₄×D₄₃	—	4	2	no	—
570	C₄×D₄₃	—	4	2	no	—
571	C₄×D₄₃	AGL(1,ℤ/8)	1	4	yes	—
572	C₄×D₄₃	C₂×#41	1	2	yes	—
573	C₄×D₄₃	H(5,𝔽₂)	1	2	yes	—
574	Dic₈₆	—	2	1	no	—
575	Dic₈₆	—	2	1	no	—
576	Dic₈₆	—	4	2	no	—
577	Dic₈₆	—	4	2	no	—
578	Dic₈₆	—	4	4	no	—
579	C₈×C₄₃	—	2	1	no	—
580	C₈×C₄₃	—	2	1	no	—
581	C₈×C₄₃	—	2	2	no	—
582	C₄₃⋊C₈	—	2	1	no	—
583	C₄₃⋊C₈	—	2	1	no	—
584	C₄₃⋊C₈	—	2	2	no	—
585	C₂×#3324	—	43	1	no	maximal, Sylow
586	C₂²×C₄₃	—	2	2	no	—
587	C₂²×C₄₃	—	2	2	no	—
588	C₂²×C₄₃	—	2	2	no	—
589	C₂²×C₄₃	—	2	2	no	—
590	C₂²×C₄₃	—	4	1	no	—
591	C₂²×C₄₃	—	4	1	no	—
592	C₂²×C₄₃	—	4	2	no	—
593	C₂²×C₄₃	—	4	2	no	—
594	C₂²×C₄₃	—	4	2	no	—
595	C₂²×C₄₃	—	8	8	no	—
596	C₂²×C₄₃	C₂³×D₄	1	1	yes	characteristic
597	C₂×D₄₃	—	2	2	no	—
598	C₂×D₄₃	—	2	2	no	—
599	C₂×D₄₃	—	2	2	no	—
600	C₂×D₄₃	—	2	2	no	—
601	C₂×D₄₃	—	4	1	no	—
602	C₂×D₄₃	—	4	1	no	—
603	C₂×D₄₃	—	4	8	no	—
604	C₂×D₄₃	—	4	8	no	—
605	C₂×D₄₃	—	4	2	no	—
606	C₂×D₄₃	—	4	2	no	—
607	C₂×D₄₃	—	4	2	no	—
608	C₂×D₄₃	—	8	8	no	—
609	C₂×D₄₃	—	8	8	no	—
610	C₂×D₄₃	—	8	8	no	—
611	C₂×D₄₃	—	8	8	no	—
612	C₂×D₄₃	#546	1	2	yes	—
613	C₂×D₄₃	C₂×AGL(1,ℤ/8)	1	2	yes	—
614	C₂×D₄₃	#577	1	2	yes	—
615	C₄×C₄₃	—	2	2	no	—
616	C₄×C₄₃	—	2	1	no	—
617	C₄×C₄₃	—	4	1	no	—
618	C₄×C₄₃	—	4	2	no	—
619	C₄×C₄₃	—	4	1	no	—
620	C₄×C₄₃	—	4	1	no	—
621	C₄×C₄₃	C₂×AGL(1,ℤ/8)	1	2	yes	—
622	C₄×C₄₃	C₂²×#41	1	1	yes	characteristic
623	C₄×C₄₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
624	Dic₄₃	—	2	2	no	—
625	Dic₄₃	—	2	1	no	—
626	Dic₄₃	—	4	1	no	—
627	Dic₄₃	—	4	2	no	—
628	Dic₄₃	—	4	1	no	—
629	Dic₄₃	—	4	1	no	—
630	Dic₄₃	#546	1	2	yes	—
631	Dic₄₃	C₂×AGL(1,ℤ/8)	1	2	yes	—
632	C₂×#556	—	43	1	no	—
633	C₂×D₄²	—	43	1	no	—
634	#3324	—	43	1	no	—
635	#3324	—	43	2	no	—
636	#3324	—	43	1	no	—
637	#3324	—	43	2	no	—
638	#3324	—	43	1	no	—
639	#3324	—	43	2	no	—
640	#3324	—	43	1	no	—
641	#3324	—	43	1	no	—
642	#3324	—	43	2	no	—
643	#3324	—	43	1	no	—
644	#3324	—	43	1	no	—
645	#3324	D₄₃	1	1	yes	characteristic, direct product factor
646	C₂×#486	—	43	1	no	—
647	C₂×#482	—	43	2	no	—
648	C₂×#474	—	43	1	no	—
649	C₂×#468	—	43	2	no	—
650	C₂×#460	—	43	1	no	—
651	C₂×#450	—	43	2	no	—
652	C₂×C₄×SD₁₆	—	43	1	no	—
653	C₂×#436	—	43	1	no	—
654	C₂×#418	—	43	2	no	—
655	C₂×C₄₃	—	4	2	no	—
656	C₂×C₄₃	—	4	2	no	—
657	C₂×C₄₃	—	8	2	no	—
658	C₂×C₄₃	C₂×#546	1	1	yes	characteristic
659	C₂×C₄₃	C₂²×AGL(1,ℤ/8)	1	1	yes	characteristic
660	C₂×C₄₃	C₂×#577	1	1	yes	characteristic
661	D₄₃	—	4	2	no	—
662	D₄₃	—	4	2	no	—
663	D₄₃	—	8	2	no	—
664	D₄₃	#3324	1	4	yes	direct product factor
665	C₂³×D₄	—	43	2	no	—
666	C₂³×D₄	—	86	1	no	—
667	C₂²×SD₁₆	—	43	1	no	—
668	C₂²×SD₁₆	—	43	2	no	—
669	C₂²×M₁₆	—	43	2	no	—
670	#556	—	43	1	no	—
671	#556	—	43	2	no	—
672	#556	—	43	1	no	—
673	#556	—	43	1	no	—
674	#556	—	43	2	no	—
675	#556	—	86	1	no	—
676	#556	—	86	1	no	—
677	#556	—	86	2	no	—
678	#556	C₂×D₄₃	1	1	yes	characteristic, complemented
679	D₄²	—	43	2	no	—
680	D₄²	—	43	1	no	—
681	D₄²	—	43	2	no	—
682	D₄²	—	43	1	no	—
683	D₄²	—	43	1	no	—
684	D₄²	—	86	2	no	—
685	D₄²	—	86	1	no	—
686	D₄²	—	86	1	no	—
687	D₄²	C₂×D₄₃	1	1	yes	characteristic
688	C₂×C₄⋊Q₈	—	43	1	no	—
689	C₂×#127	—	43	1	no	—
690	C₂×#126	—	86	2	no	—
691	C₂×#124	—	86	1	no	—
692	C₂×C₂²⋊Q₈	—	43	2	no	—
693	C₂×#121	—	43	2	no	—
694	C₂×#121	—	86	1	no	—
695	C₂×#120	—	86	2	no	—
696	C₂×C₄×Q₈	—	43	1	no	—
697	C₂×C₄×Q₈	—	86	1	no	—
698	C₂×C₄×D₄	—	43	1	no	—
699	C₂×C₄×D₄	—	43	1	no	—
700	C₂×#117	—	43	2	no	—
701	#486	—	43	1	no	—
702	#486	—	43	1	no	—
703	#486	—	43	2	no	—
704	#486	—	43	2	no	—
705	#486	—	43	1	no	—
706	#486	C₂×D₄₃	1	1	yes	characteristic, complemented
707	#482	—	43	2	no	—
708	#482	—	43	2	no	—
709	#482	—	43	2	no	—
710	#482	—	43	2	no	—
711	#482	—	43	2	no	—
712	#482	—	43	2	no	—
713	#482	—	43	2	no	—
714	#482	C₂×D₄₃	1	2	yes	complemented
715	#474	—	43	1	no	—
716	#474	—	43	1	no	—
717	#474	—	43	2	no	—
718	#474	—	43	1	no	—
719	#474	—	43	2	no	—
720	#474	C₂×D₄₃	1	1	yes	characteristic, complemented
721	#468	—	43	2	no	—
722	#468	—	43	2	no	—
723	#468	—	43	2	no	—
724	#468	—	43	2	no	—
725	#468	—	43	2	no	—
726	#468	—	43	2	no	—
727	#468	—	43	2	no	—
728	#468	C₂×D₄₃	1	2	yes	complemented
729	#460	—	43	2	no	—
730	#460	—	43	1	no	—
731	#460	—	43	1	no	—
732	#460	—	43	1	no	—
733	#460	—	43	2	no	—
734	#460	C₂×D₄₃	1	1	yes	characteristic, complemented
735	#450	—	43	2	no	—
736	#450	—	43	2	no	—
737	#450	—	43	2	no	—
738	#450	—	43	2	no	—
739	#450	—	43	2	no	—
740	#450	—	43	2	no	—
741	#450	—	43	2	no	—
742	#450	C₂×D₄₃	1	2	yes	complemented
743	C₄×SD₁₆	—	43	1	no	—
744	C₄×SD₁₆	—	43	1	no	—
745	C₄×SD₁₆	—	43	1	no	—
746	C₄×SD₁₆	—	43	1	no	—
747	C₄×SD₁₆	—	43	1	no	—
748	C₄×SD₁₆	—	43	1	no	—
749	C₄×SD₁₆	—	43	1	no	—
750	C₄×SD₁₆	C₂×D₄₃	1	1	yes	characteristic, complemented
751	#436	—	43	2	no	—
752	#436	—	43	1	no	—
753	#436	—	43	1	no	—
754	#436	—	43	2	no	—
755	#436	—	43	1	no	—
756	#436	C₂×D₄₃	1	1	yes	characteristic, complemented
757	C₂×#107	—	43	2	no	—
758	C₂×#106	—	43	1	no	—
759	C₂×C₄⋊C₈	—	43	1	no	—
760	#418	—	43	2	no	—
761	#418	—	43	2	no	—
762	#418	—	43	2	no	—
763	#418	—	43	2	no	—
764	#418	—	43	2	no	—
765	#418	—	43	2	no	—
766	#418	—	43	2	no	—
767	#418	C₂×D₄₃	1	2	yes	complemented
768	C₂×#103	—	43	1	no	—
769	C₂×#102	—	43	1	no	—
770	C₂×#102	—	43	2	no	—
771	C₂×#102	—	43	2	no	—
772	C₂×#102	—	43	2	no	—
773	C₂×#102	—	43	2	no	—
774	C₂×C₂²⋊C₈	—	43	2	no	—
775	C₂×C₄×C₈	—	43	1	no	—
776	C₄₃	C₂×#3324	1	1	yes	characteristic, complemented, Sylow
777	C₂⁵	—	86	2	no	—
778	C₂²×Q₈	—	43	1	no	—
779	C₂²×Q₈	—	86	1	no	—
780	C₂²×D₄	—	2	1	no	—
781	C₂²×D₄	—	43	1	no	—
782	C₂²×D₄	—	43	1	no	—
783	C₂²×D₄	—	43	2	no	—
784	C₂²×D₄	—	43	2	no	—
785	C₂²×D₄	—	43	2	no	—
786	C₂²×D₄	—	43	2	no	—
787	C₂²×D₄	—	86	1	no	—
788	C₂²×D₄	—	86	1	no	—
789	C₂²×D₄	—	86	2	no	—
790	C₂²×D₄	—	86	1	no	—
791	C₂²×D₄	—	86	2	no	—
792	C₂²×D₄	—	86	2	no	—
793	C₂²×D₄	—	86	8	no	—
794	C₂²×D₄	—	86	2	no	—
795	C₂²×D₄	—	86	1	no	—
796	C₂²×D₄	—	86	2	no	—
797	C₂²×D₄	—	86	2	no	—
798	C₂²×D₄	—	86	1	no	—
799	C₂²×D₄	—	172	4	no	—
800	C₂²×D₄	—	172	8	no	—
801	C₂²×D₄	C₂²×D₄₃	1	2	yes	—
802	C₂³×C₄	—	43	2	no	—
803	C₂³×C₄	—	86	1	no	—
804	C₂×SD₁₆	—	43	1	no	—
805	C₂×SD₁₆	—	43	1	no	—
806	C₂×SD₁₆	—	43	2	no	—
807	C₂×SD₁₆	—	43	2	no	—
808	C₂×SD₁₆	—	43	1	no	—
809	C₂×SD₁₆	—	43	2	no	—
810	C₂×SD₁₆	—	86	4	no	—
811	C₂×SD₁₆	—	172	4	no	—
812	C₂×SD₁₆	C₂²×D₄₃	1	1	yes	characteristic
813	C₂×SD₁₆	C₂²×D₄₃	1	2	yes	complemented
814	C₂×M₁₆	—	43	2	no	—
815	C₂×M₁₆	—	43	2	no	—
816	C₂×M₁₆	—	43	2	no	—
817	C₂×M₁₆	—	172	4	no	—
818	C₂×M₁₆	C₂²×D₄₃	1	2	yes	complemented
819	C₂²×C₈	—	43	1	no	—
820	C₂²×C₈	—	43	2	no	—
821	C₂²×C₈	—	43	1	no	—
822	C₄⋊Q₈	—	43	2	no	—
823	C₄⋊Q₈	—	43	1	no	—
824	C₄⋊Q₈	—	86	1	no	—
825	C₄⋊Q₈	—	86	1	no	—
826	C₄⋊Q₈	C₂²×D₄₃	1	1	yes	characteristic, complemented
827	#127	—	43	2	no	—
828	#127	—	43	1	no	—
829	#127	—	86	1	no	—
830	#127	—	86	1	no	—
831	#127	C₂²×D₄₃	1	1	yes	characteristic
832	#126	—	2	2	no	—
833	#126	—	86	2	no	—
834	#126	—	86	2	no	—
835	#126	—	86	2	no	—
836	#126	—	86	2	no	—
837	#126	—	86	2	no	—
838	#126	—	86	2	no	—
839	#126	—	86	2	no	—
840	#124	—	2	1	no	—
841	#124	—	86	1	no	—
842	#124	—	86	2	no	—
843	#124	—	86	2	no	—
844	#124	—	86	1	no	—
845	#124	—	86	1	no	—
846	C₂²⋊Q₈	—	43	2	no	—
847	C₂²⋊Q₈	—	43	2	no	—
848	C₂²⋊Q₈	—	43	2	no	—
849	C₂²⋊Q₈	—	86	2	no	—
850	C₂²⋊Q₈	—	86	2	no	—
851	C₂²⋊Q₈	C₂²×D₄₃	1	2	yes	complemented
852	#121	—	2	1	no	—
853	#121	—	43	2	no	—
854	#121	—	43	2	no	—
855	#121	—	43	2	no	—
856	#121	—	86	2	no	—
857	#121	—	86	2	no	—
858	#121	—	86	1	no	—
859	#121	—	86	1	no	—
860	#121	—	86	2	no	—
861	#121	—	86	2	no	—
862	#121	—	86	1	no	—
863	#121	C₂²×D₄₃	1	2	yes	—
864	#120	—	2	2	no	—
865	#120	—	86	2	no	—
866	#120	—	86	2	no	—
867	#120	—	86	2	no	—
868	#120	—	86	2	no	—
869	#120	—	86	2	no	—
870	#120	—	86	2	no	—
871	#120	—	86	2	no	—
872	C₄×Q₈	—	2	1	no	—
873	C₄×Q₈	—	43	1	no	—
874	C₄×Q₈	—	43	1	no	—
875	C₄×Q₈	—	43	1	no	—
876	C₄×Q₈	—	86	1	no	—
877	C₄×Q₈	—	86	2	no	—
878	C₄×Q₈	—	86	1	no	—
879	C₄×Q₈	—	86	1	no	—
880	C₄×Q₈	—	86	2	no	—
881	C₄×Q₈	—	86	1	no	—
882	C₄×Q₈	—	86	1	no	—
883	C₄×Q₈	C₂²×D₄₃	1	1	yes	characteristic, complemented
884	C₄×D₄	—	43	1	no	—
885	C₄×D₄	—	43	2	no	—
886	C₄×D₄	—	43	1	no	—
887	C₄×D₄	—	43	2	no	—
888	C₄×D₄	—	43	1	no	—
889	C₄×D₄	—	43	1	no	—
890	C₄×D₄	—	43	1	no	—
891	C₄×D₄	—	43	1	no	—
892	C₄×D₄	—	86	1	no	—
893	C₄×D₄	—	86	1	no	—
894	C₄×D₄	C₂²×D₄₃	1	1	yes	characteristic
895	C₄×D₄	C₂²×D₄₃	1	1	yes	characteristic
896	#117	—	43	2	no	—
897	#117	—	43	2	no	—
898	#117	—	43	2	no	—
899	#117	—	86	2	no	—
900	#117	—	86	2	no	—
901	#117	C₂²×D₄₃	1	2	yes	complemented
902	C₂×C₄⋊C₄	—	43	1	no	—
903	C₂×C₄⋊C₄	—	43	1	no	—
904	C₂×C₄⋊C₄	—	43	2	no	—
905	C₂×C₄⋊C₄	—	43	1	no	—
906	C₂×C₄⋊C₄	—	86	1	no	—
907	C₂×C₄⋊C₄	—	86	2	no	—
908	C₂×C₄⋊C₄	—	86	1	no	—
909	C₂×C₂²⋊C₄	—	43	2	no	—
910	C₂×C₂²⋊C₄	—	86	1	no	—
911	C₂×C₂²⋊C₄	—	86	2	no	—
912	C₂×C₂²⋊C₄	—	86	2	no	—
913	C₂×C₂²⋊C₄	—	86	2	no	—
914	C₂×C₄²	—	43	1	no	—
915	C₂×C₄²	—	86	2	no	—
916	C₂×C₄²	—	86	1	no	—
917	#107	—	43	2	no	—
918	#107	—	43	2	no	—
919	#107	—	43	2	no	—
920	#107	C₂²×D₄₃	1	2	yes	complemented
921	#106	—	43	1	no	—
922	#106	—	43	1	no	—
923	#106	—	43	1	no	—
924	#106	C₂²×D₄₃	1	1	yes	characteristic, complemented
925	C₄⋊C₈	—	43	2	no	—
926	C₄⋊C₈	—	43	1	no	—
927	C₄⋊C₈	C₂²×D₄₃	1	1	yes	characteristic, complemented
928	#103	—	43	1	no	—
929	#103	—	43	1	no	—
930	#103	—	43	1	no	—
931	#103	C₂²×D₄₃	1	1	yes	characteristic, complemented
932	#102	—	43	1	no	—
933	#102	—	43	2	no	—
934	#102	—	43	2	no	—
935	#102	—	43	2	no	—
936	#102	—	43	2	no	—
937	#102	—	43	1	no	—
938	#102	—	43	2	no	—
939	#102	—	43	2	no	—
940	#102	—	43	2	no	—
941	#102	—	43	2	no	—
942	#102	—	43	1	no	—
943	#102	—	43	2	no	—
944	#102	—	43	2	no	—
945	#102	—	43	2	no	—
946	#102	—	43	2	no	—
947	#102	C₂²×D₄₃	1	1	yes	characteristic
948	#102	C₂²×D₄₃	1	2	yes	—
949	#102	C₂²×D₄₃	1	2	yes	complemented
950	#102	C₂²×D₄₃	1	2	yes	complemented
951	#102	C₂²×D₄₃	1	2	yes	complemented
952	C₂²⋊C₈	—	43	2	no	—
953	C₂²⋊C₈	—	43	2	no	—
954	C₂²⋊C₈	—	43	2	no	—
955	C₂²⋊C₈	C₂²×D₄₃	1	2	yes	complemented
956	C₄×C₈	—	43	1	no	—
957	C₄×C₈	—	43	1	no	—
958	C₄×C₈	—	43	1	no	—
959	C₄×C₈	C₂²×D₄₃	1	1	yes	characteristic, complemented
960	C₂⁴	—	2	2	no	—
961	C₂⁴	—	43	2	no	—
962	C₂⁴	—	86	1	no	—
963	C₂⁴	—	86	2	no	—
964	C₂⁴	—	86	2	no	—
965	C₂⁴	—	86	2	no	—
966	C₂⁴	—	86	2	no	—
967	C₂⁴	—	344	4	no	—
968	C₂⁴	—	172	8	no	—
969	C₂⁴	—	172	8	no	—
970	C₂×Q₈	—	2	1	no	—
971	C₂×Q₈	—	43	1	no	—
972	C₂×Q₈	—	86	1	no	—
973	C₂×Q₈	—	86	2	no	—
974	C₂×Q₈	—	86	2	no	—
975	C₂×Q₈	—	86	2	no	—
976	C₂×Q₈	—	86	1	no	—
977	C₂×Q₈	—	172	4	no	—
978	C₂×Q₈	C₂³×D₄₃	1	1	yes	characteristic
979	C₂×D₄	—	2	4	no	—
980	C₂×D₄	—	2	2	no	—
981	C₂×D₄	—	2	2	no	—
982	C₂×D₄	—	2	1	no	—
983	C₂×D₄	—	2	1	no	—
984	C₂×D₄	—	4	2	no	—
985	C₂×D₄	—	4	4	no	—
986	C₂×D₄	—	43	4	no	—
987	C₂×D₄	—	43	2	no	—
988	C₂×D₄	—	43	1	no	—
989	C₂×D₄	—	43	1	no	—
990	C₂×D₄	—	43	2	no	—
991	C₂×D₄	—	86	4	no	—
992	C₂×D₄	—	86	2	no	—
993	C₂×D₄	—	86	4	no	—
994	C₂×D₄	—	86	2	no	—
995	C₂×D₄	—	86	4	no	—
996	C₂×D₄	—	86	4	no	—
997	C₂×D₄	—	86	1	no	—
998	C₂×D₄	—	86	2	no	—
999	C₂×D₄	—	86	2	no	—
1000	C₂×D₄	—	86	2	no	—
1001	C₂×D₄	—	86	2	no	—
1002	C₂×D₄	—	86	2	no	—
1003	C₂×D₄	—	86	4	no	—
1004	C₂×D₄	—	86	4	no	—
1005	C₂×D₄	—	86	2	no	—
1006	C₂×D₄	—	86	2	no	—
1007	C₂×D₄	—	86	1	no	—
1008	C₂×D₄	—	86	2	no	—
1009	C₂×D₄	—	86	1	no	—
1010	C₂×D₄	—	344	2	no	—
1011	C₂×D₄	—	172	2	no	—
1012	C₂×D₄	—	172	4	no	—
1013	C₂×D₄	—	172	4	no	—
1014	C₂×D₄	—	172	2	no	—
1015	C₂×D₄	—	172	2	no	—
1016	C₂×D₄	—	172	8	no	—
1017	C₂×D₄	—	172	8	no	—
1018	C₂×D₄	—	172	8	no	—
1019	C₂×D₄	—	172	4	no	—
1020	C₂×D₄	—	172	8	no	—
1021	C₂×D₄	—	172	4	no	—
1022	C₂×D₄	—	172	8	no	—
1023	C₂×D₄	—	172	8	no	—
1024	C₂×D₄	D₄×D₄₃	1	1	yes	characteristic
1025	C₂×D₄	C₂³×D₄₃	1	2	yes	—
1026	C₂×D₄	C₂³×D₄₃	1	1	yes	characteristic
1027	C₂²×C₄	—	2	1	no	—
1028	C₂²×C₄	—	43	1	no	—
1029	C₂²×C₄	—	43	1	no	—
1030	C₂²×C₄	—	43	2	no	—
1031	C₂²×C₄	—	43	1	no	—
1032	C₂²×C₄	—	43	2	no	—
1033	C₂²×C₄	—	43	2	no	—
1034	C₂²×C₄	—	43	2	no	—
1035	C₂²×C₄	—	86	4	no	—
1036	C₂²×C₄	—	86	4	no	—
1037	C₂²×C₄	—	86	1	no	—
1038	C₂²×C₄	—	86	1	no	—
1039	C₂²×C₄	—	86	2	no	—
1040	C₂²×C₄	—	86	1	no	—
1041	C₂²×C₄	—	86	1	no	—
1042	C₂²×C₄	—	86	1	no	—
1043	C₂²×C₄	—	86	1	no	—
1044	C₂²×C₄	—	172	4	no	—
1045	C₂²×C₄	C₂³×D₄₃	1	2	yes	—
1046	SD₁₆	—	2	2	no	—
1047	SD₁₆	—	4	2	no	—
1048	SD₁₆	—	86	2	no	—
1049	SD₁₆	—	86	2	no	—
1050	SD₁₆	—	86	2	no	—
1051	SD₁₆	—	172	2	no	—
1052	SD₁₆	—	172	2	no	—
1053	SD₁₆	—	172	2	no	—
1054	M₁₆	—	4	2	no	—
1055	M₁₆	—	172	2	no	—
1056	M₁₆	—	172	2	no	—
1057	M₁₆	—	172	2	no	—
1058	C₂×C₈	—	43	1	no	—
1059	C₂×C₈	—	43	1	no	—
1060	C₂×C₈	—	43	2	no	—
1061	C₂×C₈	—	86	2	no	—
1062	C₂×C₈	—	86	4	no	—
1063	C₂×C₈	—	86	2	no	—
1064	C₂×C₈	C₂³×D₄₃	1	1	yes	characteristic
1065	C₂×C₈	C₂³×D₄₃	1	1	yes	characteristic
1066	C₂×C₈	C₂³×D₄₃	1	2	yes	—
1067	C₄⋊C₄	—	2	2	no	—
1068	C₄⋊C₄	—	2	1	no	—
1069	C₄⋊C₄	—	2	1	no	—
1070	C₄⋊C₄	—	43	2	no	—
1071	C₄⋊C₄	—	43	1	no	—
1072	C₄⋊C₄	—	43	1	no	—
1073	C₄⋊C₄	—	43	2	no	—
1074	C₄⋊C₄	—	43	1	no	—
1075	C₄⋊C₄	—	86	1	no	—
1076	C₄⋊C₄	—	86	2	no	—
1077	C₄⋊C₄	—	86	1	no	—
1078	C₄⋊C₄	—	86	1	no	—
1079	C₄⋊C₄	—	86	1	no	—
1080	C₄⋊C₄	—	86	2	no	—
1081	C₄⋊C₄	—	86	2	no	—
1082	C₄⋊C₄	—	86	2	no	—
1083	C₄⋊C₄	—	86	1	no	—
1084	C₄⋊C₄	—	86	2	no	—
1085	C₄⋊C₄	—	86	1	no	—
1086	C₄⋊C₄	D₄×D₄₃	1	1	yes	characteristic
1087	C₄⋊C₄	C₂³×D₄₃	1	1	yes	characteristic
1088	C₄⋊C₄	C₂³×D₄₃	1	2	yes	—
1089	C₄⋊C₄	C₂³×D₄₃	1	1	yes	characteristic
1090	C₂²⋊C₄	—	2	2	no	—
1091	C₂²⋊C₄	—	2	2	no	—
1092	C₂²⋊C₄	—	2	1	no	—
1093	C₂²⋊C₄	—	2	2	no	—
1094	C₂²⋊C₄	—	43	2	no	—
1095	C₂²⋊C₄	—	43	2	no	—
1096	C₂²⋊C₄	—	43	2	no	—
1097	C₂²⋊C₄	—	86	1	no	—
1098	C₂²⋊C₄	—	86	2	no	—
1099	C₂²⋊C₄	—	86	2	no	—
1100	C₂²⋊C₄	—	86	2	no	—
1101	C₂²⋊C₄	—	86	2	no	—
1102	C₂²⋊C₄	—	86	2	no	—
1103	C₂²⋊C₄	—	86	1	no	—
1104	C₂²⋊C₄	—	86	2	no	—
1105	C₂²⋊C₄	—	86	2	no	—
1106	C₂²⋊C₄	—	86	2	no	—
1107	C₂²⋊C₄	—	86	1	no	—
1108	C₂²⋊C₄	—	86	2	no	—
1109	C₂²⋊C₄	D₄×D₄₃	1	2	yes	—
1110	C₄²	—	2	2	no	—
1111	C₄²	—	2	1	no	—
1112	C₄²	—	43	1	no	—
1113	C₄²	—	43	1	no	—
1114	C₄²	—	43	1	no	—
1115	C₄²	—	86	2	no	—
1116	C₄²	—	86	2	no	—
1117	C₄²	—	86	1	no	—
1118	C₄²	—	86	1	no	—
1119	C₄²	—	86	2	no	—
1120	C₄²	—	86	1	no	—
1121	C₄²	C₂³×D₄₃	1	1	yes	characteristic
1122	C₂³	—	2	1	no	—
1123	C₂³	—	2	2	no	—
1124	C₂³	—	4	4	no	—
1125	C₂³	—	4	4	no	—
1126	C₂³	—	8	2	no	—
1127	C₂³	—	43	1	no	—
1128	C₂³	—	43	2	no	—
1129	C₂³	—	86	4	no	—
1130	C₂³	—	86	4	no	—
1131	C₂³	—	86	4	no	—
1132	C₂³	—	86	4	no	—
1133	C₂³	—	86	1	no	—
1134	C₂³	—	86	2	no	—
1135	C₂³	—	344	2	no	—
1136	C₂³	—	344	2	no	—
1137	C₂³	—	344	2	no	—
1138	C₂³	—	344	32	no	—
1139	C₂³	—	172	4	no	—
1140	C₂³	—	172	4	no	—
1141	C₂³	—	172	4	no	—
1142	C₂³	—	172	4	no	—
1143	C₂³	—	172	4	no	—
1144	C₂³	—	172	4	no	—
1145	C₂³	—	172	2	no	—
1146	C₂³	—	172	2	no	—
1147	C₂³	—	172	4	no	—
1148	C₂³	—	172	4	no	—
1149	C₂³	—	172	4	no	—
1150	C₂³	C₂×D₄×D₄₃	1	2	yes	—
1151	Q₈	—	2	1	no	—
1152	Q₈	—	2	1	no	—
1153	Q₈	—	4	2	no	—
1154	Q₈	—	86	1	no	—
1155	Q₈	—	86	1	no	—
1156	Q₈	—	172	2	no	—
1157	Q₈	—	172	4	no	—
1158	Q₈	—	172	2	no	—
1159	D₄	—	2	2	no	—
1160	D₄	—	2	2	no	—
1161	D₄	—	2	1	no	—
1162	D₄	—	2	2	no	—
1163	D₄	—	4	4	no	—
1164	D₄	—	4	4	no	—
1165	D₄	—	4	2	no	—
1166	D₄	—	8	1	no	—
1167	D₄	—	43	2	no	—
1168	D₄	—	86	4	no	—
1169	D₄	—	86	4	no	—
1170	D₄	—	86	2	no	—
1171	D₄	—	86	2	no	—
1172	D₄	—	86	1	no	—
1173	D₄	—	86	2	no	—
1174	D₄	—	344	1	no	—
1175	D₄	—	344	2	no	—
1176	D₄	—	172	4	no	—
1177	D₄	—	172	4	no	—
1178	D₄	—	172	4	no	—
1179	D₄	—	172	4	no	—
1180	D₄	—	172	4	no	—
1181	D₄	—	172	4	no	—
1182	D₄	—	172	4	no	—
1183	D₄	—	172	4	no	—
1184	D₄	—	172	2	no	—
1185	D₄	#41×D₄₃	1	2	yes	—
1186	C₂×C₄	—	2	2	no	—
1187	C₂×C₄	—	2	2	no	—
1188	C₂×C₄	—	2	1	no	—
1189	C₂×C₄	—	2	1	no	—
1190	C₂×C₄	—	2	2	no	—
1191	C₂×C₄	—	2	1	no	—
1192	C₂×C₄	—	4	2	no	—
1193	C₂×C₄	—	43	1	no	—
1194	C₂×C₄	—	43	1	no	—
1195	C₂×C₄	—	43	4	no	—
1196	C₂×C₄	—	43	2	no	—
1197	C₂×C₄	—	43	2	no	—
1198	C₂×C₄	—	43	1	no	—
1199	C₂×C₄	—	43	2	no	—
1200	C₂×C₄	—	86	4	no	—
1201	C₂×C₄	—	86	4	no	—
1202	C₂×C₄	—	86	2	no	—
1203	C₂×C₄	—	86	4	no	—
1204	C₂×C₄	—	86	2	no	—
1205	C₂×C₄	—	86	2	no	—
1206	C₂×C₄	—	86	1	no	—
1207	C₂×C₄	—	86	2	no	—
1208	C₂×C₄	—	86	1	no	—
1209	C₂×C₄	—	86	1	no	—
1210	C₂×C₄	—	172	2	no	—
1211	C₂×C₄	—	172	2	no	—
1212	C₂×C₄	—	172	2	no	—
1213	C₂×C₄	—	172	4	no	—
1214	C₂×C₄	—	172	2	no	—
1215	C₂×C₄	—	172	2	no	—
1216	C₂×C₄	—	172	2	no	—
1217	C₂×C₄	C₂×D₄×D₄₃	1	2	yes	—
1218	C₂×C₄	C₂×D₄×D₄₃	1	1	yes	characteristic
1219	C₂×C₄	C₂×D₄×D₄₃	1	1	yes	characteristic
1220	C₂×C₄	C₂⁴×D₄₃	1	1	yes	characteristic
1221	C₈	—	2	1	no	—
1222	C₈	—	2	1	no	—
1223	C₈	—	2	2	no	—
1224	C₈	—	86	1	no	—
1225	C₈	—	86	1	no	—
1226	C₈	—	86	2	no	—
1227	C₂²	—	2	2	no	—
1228	C₂²	—	2	2	no	—
1229	C₂²	—	2	2	no	—
1230	C₂²	—	2	2	no	—
1231	C₂²	—	4	1	no	—
1232	C₂²	—	4	1	no	—
1233	C₂²	—	4	2	no	—
1234	C₂²	—	4	2	no	—
1235	C₂²	—	4	2	no	—
1236	C₂²	—	8	8	no	—
1237	C₂²	—	43	2	no	—
1238	C₂²	—	43	2	no	—
1239	C₂²	—	43	2	no	—
1240	C₂²	—	86	2	no	—
1241	C₂²	—	86	2	no	—
1242	C₂²	—	86	2	no	—
1243	C₂²	—	86	2	no	—
1244	C₂²	—	344	8	no	—
1245	C₂²	—	344	8	no	—
1246	C₂²	—	344	8	no	—
1247	C₂²	—	344	8	no	—
1248	C₂²	—	172	8	no	—
1249	C₂²	—	172	8	no	—
1250	C₂²	—	172	2	no	—
1251	C₂²	—	172	2	no	—
1252	C₂²	—	172	2	no	—
1253	C₂²	—	172	1	no	—
1254	C₂²	—	172	1	no	—
1255	C₂²	C₂²×D₄×D₄₃	1	1	yes	characteristic
1256	C₄	—	2	2	no	—
1257	C₄	—	2	1	no	—
1258	C₄	—	4	1	no	—
1259	C₄	—	4	1	no	—
1260	C₄	—	4	2	no	—
1261	C₄	—	4	1	no	—
1262	C₄	—	43	2	no	—
1263	C₄	—	43	2	no	—
1264	C₄	—	86	2	no	—
1265	C₄	—	86	1	no	—
1266	C₄	—	172	1	no	—
1267	C₄	—	172	1	no	—
1268	C₄	—	172	2	no	—
1269	C₄	—	172	1	no	—
1270	C₄	AGL(1,ℤ/8)×D₄₃	1	2	yes	—
1271	C₄	C₂×#41×D₄₃	1	1	yes	characteristic
1272	C₄	H(5,𝔽₂)×D₄₃	1	1	yes	characteristic
1273	C₂	—	4	2	no	—
1274	C₂	—	4	2	no	—
1275	C₂	—	8	2	no	—
1276	C₂	—	43	4	no	—
1277	C₂	—	344	2	no	—
1278	C₂	—	172	2	no	—
1279	C₂	—	172	2	no	—
1280	C₂	#546×D₄₃	1	1	yes	characteristic
1281	C₂	C₂×AGL(1,ℤ/8)×D₄₃	1	1	yes	characteristic
1282	C₂	#577×D₄₃	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×#3324	C₂
socle	C₂²×C₄₃	C₂³×D₄
prime radical	D₄²×D₄₃	C₂
hypercenter	#3324	D₄₃
hypocenter	C₄₃	C₂×#3324
LCS	G ▷ C₂×C₄×C₄₃ ▷ C₂×C₄₃ ▷ C₄₃
UCS	C₁ ◁ C₂² ◁ C₄×D₄ ◁ #3324

Complements

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

N	H ≅ G/N	type
1. #556×D₄₃	C₂	semidirect
3. #19146829	C₂	semidirect
4. #19146828	C₂	semidirect
5. #19146827	C₂	semidirect
6. #19146826	C₂	semidirect
7. #19146825	C₂	semidirect
8. #19146824	C₂	semidirect
9. #19146823	C₂	semidirect
10. #19146822	C₂	semidirect
11. #19146821	C₂	semidirect
12. #19146820	C₂	semidirect
13. #19146819	C₂	semidirect
14. #486×D₄₃	C₂	semidirect
15. #482×D₄₃	C₂	semidirect
16. #474×D₄₃	C₂	semidirect
17. #468×D₄₃	C₂	semidirect
18. #460×D₄₃	C₂	semidirect
19. #450×D₄₃	C₂	semidirect
20. C₄×SD₁₆×D₄₃	C₂	semidirect
21. #436×D₄₃	C₂	semidirect
22. #418×D₄₃	C₂	semidirect
23. C₄₃×#3324	C₂	semidirect
27. C₂×SD₁₆×D₄₃	C₂²	semidirect
28. C₂×M₁₆×D₄₃	C₂²	semidirect
29. #14583623	C₂²	semidirect
30. #14583622	C₂²	semidirect
32. #14583620	C₂²	semidirect
33. #14583619	C₂²	semidirect
35. #14583617	C₂²	semidirect
45. C₄⋊Q₈×D₄₃	C₂²	semidirect
49. C₂²⋊Q₈×D₄₃	C₂²	semidirect
54. C₄×Q₈×D₄₃	C₂²	semidirect
57. #117×D₄₃	C₂²	semidirect
58. #14583247	C₂²	semidirect
59. #14583246	C₂²	semidirect
60. #14583245	C₂²	semidirect
61. #14583244	C₂²	semidirect
62. #14583244	C₂²	semidirect
63. #14583226	C₂²	semidirect
64. #14583225	C₂²	semidirect
65. #14583224	C₂²	semidirect
66. #14583223	C₂²	semidirect
67. #14583222	C₂²	semidirect
68. #14583221	C₂²	semidirect
69. #14583220	C₂²	semidirect
70. #14583180	C₂²	semidirect
71. #14583179	C₂²	semidirect
72. #14583178	C₂²	semidirect
73. #14583177	C₂²	semidirect
74. #14583176	C₂²	semidirect
75. #14583148	C₂²	semidirect
76. #14583147	C₂²	semidirect
77. #14583146	C₂²	semidirect
78. #14583145	C₂²	semidirect
79. #14583144	C₂²	semidirect
80. #14583143	C₂²	semidirect
81. #14583142	C₂²	semidirect
82. #14583100	C₂²	semidirect
83. #14583099	C₂²	semidirect
84. #14583098	C₂²	semidirect
85. #14583097	C₂²	semidirect
86. #14583096	C₂²	semidirect
87. #14583052	C₂²	semidirect
88. #14583051	C₂²	semidirect
89. #14583051	C₂²	semidirect
90. #14583050	C₂²	semidirect
91. #14583049	C₂²	semidirect
92. #14583048	C₂²	semidirect
93. #14583048	C₂²	semidirect
94. #14582990	C₂²	semidirect
95. C₄×#10621873	C₂²	semidirect
96. SD₁₆×Dic₄₃	C₂²	semidirect
97. C₄×#10621884	C₂²	semidirect
98. #14582986	C₂²	semidirect
99. C₄×#10621883	C₂²	semidirect
100. #14582984	C₂²	semidirect
101. #14582978	C₂²	semidirect
102. #14582977	C₂²	semidirect
103. #14582976	C₂²	semidirect
104. #14582975	C₂²	semidirect
105. #14582974	C₂²	semidirect
106. #107×D₄₃	C₂²	semidirect
107. #106×D₄₃	C₂²	semidirect
108. C₄⋊C₈×D₄₃	C₂²	semidirect
109. #14582905	C₂²	semidirect
110. #14582904	C₂²	semidirect
111. #14582903	C₂²	semidirect
112. #14582902	C₂²	semidirect
113. #14582902	C₂²	semidirect
114. #14582902	C₂²	semidirect
115. #14582902	C₂²	semidirect
116. #103×D₄₃	C₂²	semidirect
119. #102×D₄₃	C₂²	semidirect
120. #102×D₄₃	C₂²	semidirect
121. #102×D₄₃	C₂²	semidirect
122. C₂²⋊C₈×D₄₃	C₂²	semidirect
123. C₄×C₈×D₄₃	C₂²	semidirect
124. C₄₃×#556	C₂²	semidirect
126. C₄₃×#486	C₂²	semidirect
127. C₄₃×#482	C₂²	semidirect
128. C₄₃×#474	C₂²	semidirect
129. C₄₃×#468	C₂²	semidirect
130. C₄₃×#460	C₂²	semidirect
131. C₄₃×#450	C₂²	semidirect
132. C₄×SD₁₆×C₄₃	C₂²	semidirect
133. C₄₃×#436	C₂²	semidirect
134. C₄₃×#418	C₂²	semidirect
161. C₂×#10621873	C₂³	semidirect
163. C₂×#10621883	C₂³	semidirect
165. C₂×#10621884	C₂³	semidirect
168. C₂×#10621877	C₂³	semidirect
169. C₂×#10621872	C₂³	semidirect
170. C₂×#10621872	C₂³	semidirect
175. #13063325	C₂³	semidirect
177. #13063324	C₂³	semidirect
195. #13063305	C₂³	semidirect
196. #13063304	C₂³	semidirect
199. #13063301	C₂³	semidirect
218. Q₈×Dic₄₃	C₂³	semidirect
222. C₄×Dic₈₆	C₂³	semidirect
226. #13063290	C₂³	semidirect
237. #13063284	C₂³	semidirect
238. #13063283	C₂³	semidirect
239. #13063283	C₂³	semidirect
257. #13063259	C₂³	semidirect
258. #13063258	C₂³	semidirect
259. #13063258	C₂³	semidirect
260. #13063257	C₂³	semidirect
261. #13063256	C₂³	semidirect
262. #13063256	C₂³	semidirect
263. C₄⋊(C₄₃⋊C₈)	C₂³	semidirect
264. Dic₄₃⋊C₈	C₂³	semidirect
265. #13063250	C₂³	semidirect
266. #13063249	C₂³	semidirect
267. #13063248	C₂³	semidirect
270. #13063247	C₂³	semidirect
271. #13063247	C₂³	semidirect
272. #13063247	C₂³	semidirect
275. #13063246	C₂³	semidirect
276. #13063246	C₂³	semidirect
277. #13063246	C₂³	semidirect
280. #13063245	C₂³	semidirect
281. #13063245	C₂³	semidirect
282. #13063245	C₂³	semidirect
283. C₂²⋊(C₄₃⋊C₈)	C₂³	semidirect
284. (C₂×D₄₃)⋊C₈	C₂³	semidirect
285. (C₂×D₄₃)⋊C₈	C₂³	semidirect
286. C₄×C₄₃⋊C₈	C₂³	semidirect
287. C₈×Dic₄₃	C₂³	semidirect
288. C₈×Dic₄₃	C₂³	semidirect
292. C₂×SD₁₆×C₄₃	C₂³	semidirect
293. C₂×M₁₆×C₄₃	C₂³	semidirect
294. C₄⋊Q₈×C₄₃	C₂³	semidirect
298. C₂²⋊Q₈×C₄₃	C₂³	semidirect
303. C₄×Q₈×C₄₃	C₂³	semidirect
306. #117×C₄₃	C₂³	semidirect
307. #107×C₄₃	C₂³	semidirect
308. #106×C₄₃	C₂³	semidirect
309. C₄⋊C₈×C₄₃	C₂³	semidirect
310. #103×C₄₃	C₂³	semidirect
313. #102×C₄₃	C₂³	semidirect
314. #102×C₄₃	C₂³	semidirect
315. #102×C₄₃	C₂³	semidirect
316. C₂²⋊C₈×C₄₃	C₂³	semidirect
317. C₄×C₈×C₄₃	C₂³	semidirect
645. #3324	D₄₃	direct (N × H)
664. D₄₃	#3324	direct (N × H)
678. #556	C₂×D₄₃	semidirect
706. #486	C₂×D₄₃	semidirect
714. #482	C₂×D₄₃	semidirect
720. #474	C₂×D₄₃	semidirect
728. #468	C₂×D₄₃	semidirect
734. #460	C₂×D₄₃	semidirect
742. #450	C₂×D₄₃	semidirect
750. C₄×SD₁₆	C₂×D₄₃	semidirect
756. #436	C₂×D₄₃	semidirect
767. #418	C₂×D₄₃	semidirect
776. C₄₃	C₂×#3324	semidirect
813. C₂×SD₁₆	C₂²×D₄₃	semidirect
818. C₂×M₁₆	C₂²×D₄₃	semidirect
826. C₄⋊Q₈	C₂²×D₄₃	semidirect
851. C₂²⋊Q₈	C₂²×D₄₃	semidirect
883. C₄×Q₈	C₂²×D₄₃	semidirect
901. #117	C₂²×D₄₃	semidirect
920. #107	C₂²×D₄₃	semidirect
924. #106	C₂²×D₄₃	semidirect
927. C₄⋊C₈	C₂²×D₄₃	semidirect
931. #103	C₂²×D₄₃	semidirect
949. #102	C₂²×D₄₃	semidirect
950. #102	C₂²×D₄₃	semidirect
951. #102	C₂²×D₄₃	semidirect
955. C₂²⋊C₈	C₂²×D₄₃	semidirect
959. C₄×C₈	C₂²×D₄₃	semidirect

Maximal subgroups

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

subgroup	index
#556×D₄₃	2
D₄²×D₄₃	2
#19146829	2
#19146828	2
#19146827	2
#19146826	2
#19146825	2
#19146824	2
#19146823	2
#19146822	2
#19146821	2
#19146820	2
#19146819	2
#486×D₄₃	2
#482×D₄₃	2
#474×D₄₃	2
#468×D₄₃	2
#460×D₄₃	2
#450×D₄₃	2
C₄×SD₁₆×D₄₃	2
#436×D₄₃	2
#418×D₄₃	2
C₄₃×#3324	2
C₂×#3324	43

Subgroups — D43×#3324 #25973418

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — D₄₃×#3324 #25973418