Subgroups — C₄₃×#60302 #24980319

Order 11008.

1716 conjugacy classes of subgroups.

The subgroup lattice has 1122 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₄₃×#3480	C₂	1	1	yes	maximal, characteristic
2	C₄₃×#2995	C₂	1	2	yes	maximal, complemented
3	C₄₃×#2994	C₂	1	1	yes	maximal, characteristic, complemented
4	C₄₃×#2993	C₂	1	1	yes	maximal, characteristic, complemented
5	C₄₃×#2992	C₂	1	2	yes	maximal, complemented
6	C₄₃×#2990	C₂	1	1	yes	maximal, characteristic, complemented
7	C₄₃×#2989	C₂	1	1	yes	maximal, characteristic, complemented
8	C₄₃×#2984	C₂	1	1	yes	maximal, characteristic, complemented
9	C₄₃×#2983	C₂	1	1	yes	maximal, characteristic, complemented
10	C₄₃×#2981	C₂	1	1	yes	maximal, characteristic, complemented
11	C₄₃×#2981	C₂	1	2	yes	maximal, complemented
12	C₄₃×#2980	C₂	1	2	yes	maximal, complemented
13	C₄₃×#2979	C₂	1	1	yes	maximal, characteristic, complemented
14	C₄₃×#2970	C₂	1	1	yes	maximal, characteristic, complemented
15	C₄₃×#2969	C₂	1	1	yes	maximal, characteristic, complemented
16	C₄₃×#2968	C₂	1	2	yes	maximal, complemented
17	C₄₃×#2967	C₂	1	2	yes	maximal, complemented
18	C₄₃×#2966	C₂	1	1	yes	maximal, characteristic, complemented
19	C₄₃×#2965	C₂	1	1	yes	maximal, characteristic, complemented
20	C₄₃×#2925	C₂	1	1	yes	maximal, characteristic, complemented
21	C₄₃×#2925	C₂	1	2	yes	maximal, complemented
22	C₄₃×#2923	C₂	1	2	yes	maximal, complemented
23	C₄₃×#2922	C₂	1	1	yes	maximal, characteristic, complemented
24	C₄₃×#559	C₄	1	1	yes	characteristic
25	C₄₃×#559	C₄	1	2	yes	—
26	C₄₃×#557	C₄	1	1	yes	characteristic
27	C₄₃×#556	C₄	1	1	yes	characteristic
28	C₄₃×#556	C₄	1	2	yes	—
29	C₄₃×#553	C₄	1	1	yes	characteristic
30	C₄₃×#553	C₄	1	1	yes	characteristic
31	C₄₃×#553	C₄	1	2	yes	—
32	C₄₃×#553	C₄	1	2	yes	—
33	C₄₃×#550	C₄	1	1	yes	characteristic
34	C₄₃×#548	C₄	1	1	yes	characteristic
35	C₄₃×#548	C₄	1	1	yes	characteristic
36	C₄₃×#532	C₂²	1	1	yes	characteristic
37	C₄₃×#532	C₂²	1	2	yes	—
38	C₄₃×#529	C₂²	1	1	yes	characteristic
39	C₄₃×#529	C₂²	1	2	yes	—
40	C₄₃×#529	C₂²	1	2	yes	—
41	C₄₃×#529	C₂²	1	1	yes	characteristic
42	C₄×#41×C₄₃	C₂²	1	1	yes	characteristic
43	C₄×#41×C₄₃	C₂²	1	1	yes	characteristic
44	C₄×#41×C₄₃	C₂²	1	1	yes	characteristic
45	C₄×#41×C₄₃	C₂²	1	2	yes	—
46	C₂×C₄×Q₈×C₄₃	C₂²	1	1	yes	characteristic
47	C₄₃×#446	C₂²	1	1	yes	characteristic
48	C₄₃×#446	C₂²	1	1	yes	characteristic
49	C₄₃×#446	C₂²	1	1	yes	characteristic
50	C₄₃×#446	C₂²	1	2	yes	—
51	C₄₃×#446	C₂²	1	2	yes	—
52	C₄₃×#446	C₂²	1	2	yes	—
53	C₄₃×#446	C₂²	1	2	yes	—
54	C₄₃×#446	C₂²	1	1	yes	characteristic
55	C₄₃×#446	C₂²	1	1	yes	characteristic
56	C₄₃×#446	C₂²	1	1	yes	characteristic
57	C₈×Q₈×C₄₃	C₂²	1	1	yes	characteristic
58	C₈×Q₈×C₄₃	C₂²	1	1	yes	characteristic
59	C₄₃×#436	C₂²	1	1	yes	characteristic
60	C₄₃×#436	C₂²	1	1	yes	characteristic
61	C₄₃×#436	C₂²	1	1	yes	characteristic
62	C₄₃×#436	C₂²	1	2	yes	—
63	C₄₃×#436	C₂²	1	2	yes	—
64	C₄₃×#436	C₂²	1	1	yes	characteristic
65	C₄₃×#436	C₂²	1	2	yes	—
66	C₄₃×#435	C₂²	1	2	yes	—
67	C₄₃×#435	C₂²	1	2	yes	—
68	C₄₃×#435	C₂²	1	2	yes	—
69	C₄₃×#435	C₂²	1	2	yes	—
70	C₄₃×#435	C₂²	1	2	yes	—
71	C₄₃×#435	C₂²	1	2	yes	—
72	C₄₃×#435	C₂²	1	2	yes	—
73	C₄₃×#435	C₂²	1	2	yes	—
74	C₄₃×#435	C₂²	1	2	yes	—
75	C₄₃×#435	C₂²	1	2	yes	—
76	C₄₃×#435	C₂²	1	2	yes	—
77	C₄₃×#435	C₂²	1	2	yes	—
78	C₄₃×#435	C₂²	1	2	yes	—
79	C₄₃×#435	C₂²	1	2	yes	—
80	C₈×D₄×C₄₃	C₂²	1	1	yes	characteristic
81	C₈×D₄×C₄₃	C₂²	1	2	yes	—
82	C₈×D₄×C₄₃	C₂²	1	2	yes	—
83	C₈×D₄×C₄₃	C₂²	1	2	yes	—
84	C₈×D₄×C₄₃	C₂²	1	1	yes	characteristic
85	C₈×D₄×C₄₃	C₂²	1	1	yes	characteristic
86	C₈×D₄×C₄₃	C₂²	1	1	yes	characteristic
87	C₄₃×#433	C₂²	1	1	yes	characteristic
88	C₄₃×#433	C₂²	1	1	yes	characteristic
89	C₄₃×#433	C₂²	1	1	yes	characteristic
90	C₄₃×#433	C₂²	1	1	yes	characteristic
91	C₄₃×#433	C₂²	1	2	yes	—
92	C₄₃×#433	C₂²	1	2	yes	—
93	C₄₃×#433	C₂²	1	2	yes	—
94	C₄₃×#433	C₂²	1	2	yes	—
95	C₄₃×#433	C₂²	1	2	yes	—
96	C₄₃×#433	C₂²	1	2	yes	—
97	C₄₃×#432	C₂²	1	2	yes	—
98	C₄₃×#432	C₂²	1	2	yes	—
99	C₄₃×#432	C₂²	1	2	yes	—
100	C₄₃×#432	C₂²	1	2	yes	—
101	C₄₃×#432	C₂²	1	1	yes	characteristic
102	C₄₃×#432	C₂²	1	2	yes	—
103	C₄₃×#432	C₂²	1	2	yes	—
104	C₄₃×#432	C₂²	1	1	yes	characteristic
105	C₄₃×#431	C₂²	1	1	yes	characteristic
106	C₄₃×#431	C₂²	1	1	yes	characteristic
107	C₄₃×#431	C₂²	1	1	yes	characteristic
108	C₄₃×#431	C₂²	1	1	yes	characteristic
109	C₄₃×#431	C₂²	1	2	yes	—
110	C₄₃×#431	C₂²	1	1	yes	characteristic
111	C₄₃×#431	C₂²	1	1	yes	characteristic
112	C₄₃×#431	C₂²	1	2	yes	—
113	C₄₃×#424	C₂²	1	1	yes	characteristic
114	C₄₃×#424	C₂²	1	1	yes	characteristic
115	C₄₃×#424	C₂²	1	2	yes	—
116	C₄₃×#424	C₂²	1	2	yes	—
117	C₄₃×#423	C₂²	1	2	yes	—
118	C₄₃×#423	C₂²	1	1	yes	characteristic
119	C₂×C₄⋊C₈×C₄₃	C₂²	1	1	yes	characteristic
120	C₂×C₄⋊C₈×C₄₃	C₂²	1	2	yes	—
121	C₄₃×#408	C₂²	1	1	yes	characteristic
122	C₄₃×#408	C₂²	1	1	yes	characteristic
123	C₄₃×#408	C₂²	1	2	yes	—
124	C₄₃×#408	C₂²	1	2	yes	—
125	C₄₃×#408	C₂²	1	2	yes	—
126	C₄₃×#408	C₂²	1	2	yes	—
127	C₄₃×#408	C₂²	1	2	yes	—
128	C₄₃×#405	C₂²	1	2	yes	—
129	C₄₃×#405	C₂²	1	2	yes	—
130	C₄₃×#405	C₂²	1	2	yes	—
131	C₄×M₁₆×C₄₃	C₂²	1	1	yes	characteristic
132	C₄×M₁₆×C₄₃	C₂²	1	2	yes	—
133	C₂×#97×C₄₃	C₂²	1	2	yes	—
134	C₂×C₄×C₈×C₄₃	C₂²	1	1	yes	characteristic
135	C₂×#41×C₄₃	C₂×C₄	1	1	yes	characteristic
136	C₂×#41×C₄₃	C₂×C₄	1	1	yes	characteristic
137	C₂×#41×C₄₃	C₂³	1	1	yes	characteristic
138	C₂×#41×C₄₃	C₂³	1	2	yes	—
139	C₂²×Q₈×C₄₃	C₂×C₄	1	1	yes	characteristic
140	C₂×M₁₆×C₄₃	C₂³	1	1	yes	characteristic
141	C₂×M₁₆×C₄₃	C₂³	1	1	yes	characteristic
142	C₂×M₁₆×C₄₃	C₂³	1	2	yes	—
143	C₂×M₁₆×C₄₃	C₂³	1	2	yes	—
144	C₂×M₁₆×C₄₃	C₂³	1	2	yes	—
145	C₂×M₁₆×C₄₃	C₂³	1	2	yes	—
146	C₂×M₁₆×C₄₃	C₂³	1	2	yes	—
147	C₂²×C₈×C₄₃	C₂³	1	1	yes	characteristic
148	C₂²×C₈×C₄₃	C₂³	1	1	yes	characteristic
149	C₂²×C₈×C₄₃	C₂³	1	2	yes	—
150	C₂²×C₈×C₄₃	C₂³	1	2	yes	—
151	C₂²×C₈×C₄₃	C₂³	1	2	yes	—
152	C₂²×C₈×C₄₃	C₂³	1	2	yes	—
153	C₂²×C₈×C₄₃	C₂³	1	2	yes	—
154	C₄⋊Q₈×C₄₃	C₂×C₄	1	1	yes	characteristic
155	C₄⋊Q₈×C₄₃	C₂×C₄	1	2	yes	—
156	#127×C₄₃	C₂×C₄	1	1	yes	characteristic
157	#127×C₄₃	C₂×C₄	1	2	yes	—
158	#126×C₄₃	C₂×C₄	1	2	yes	—
159	#126×C₄₃	C₂×C₄	1	2	yes	—
160	#126×C₄₃	C₂×C₄	1	2	yes	—
161	#126×C₄₃	C₂×C₄	1	2	yes	—
162	#126×C₄₃	C₂×C₄	1	2	yes	—
163	#126×C₄₃	C₂×C₄	1	2	yes	—
164	#125×C₄₃	C₂×C₄	1	1	yes	characteristic
165	#125×C₄₃	C₂×C₄	1	2	yes	—
166	#125×C₄₃	C₂×C₄	1	2	yes	—
167	#125×C₄₃	C₂×C₄	1	1	yes	characteristic
168	#124×C₄₃	C₂×C₄	1	1	yes	characteristic
169	#124×C₄₃	C₂×C₄	1	1	yes	characteristic
170	#124×C₄₃	C₂×C₄	1	2	yes	—
171	#124×C₄₃	C₂×C₄	1	2	yes	—
172	#124×C₄₃	C₂×C₄	1	2	yes	—
173	#124×C₄₃	C₂×C₄	1	2	yes	—
174	#124×C₄₃	C₂×C₄	1	2	yes	—
175	#123×C₄₃	C₂×C₄	1	2	yes	—
176	#123×C₄₃	C₂×C₄	1	2	yes	—
177	#123×C₄₃	C₂×C₄	1	2	yes	—
178	#123×C₄₃	C₂×C₄	1	2	yes	—
179	#123×C₄₃	C₂×C₄	1	2	yes	—
180	#123×C₄₃	C₂×C₄	1	2	yes	—
181	C₂²⋊Q₈×C₄₃	C₂×C₄	1	1	yes	characteristic
182	C₂²⋊Q₈×C₄₃	C₂×C₄	1	1	yes	characteristic
183	C₂²⋊Q₈×C₄₃	C₂×C₄	1	2	yes	—
184	C₂²⋊Q₈×C₄₃	C₂×C₄	1	2	yes	—
185	#121×C₄₃	C₂×C₄	1	1	yes	characteristic
186	#121×C₄₃	C₂×C₄	1	1	yes	characteristic
187	#121×C₄₃	C₂×C₄	1	2	yes	—
188	#121×C₄₃	C₂×C₄	1	2	yes	—
189	#121×C₄₃	C₂×C₄	1	1	yes	characteristic
190	#121×C₄₃	C₂×C₄	1	1	yes	characteristic
191	#121×C₄₃	C₂×C₄	1	2	yes	—
192	#121×C₄₃	C₂×C₄	1	2	yes	—
193	#121×C₄₃	C₂×C₄	1	2	yes	—
194	#121×C₄₃	C₂×C₄	1	2	yes	—
195	#121×C₄₃	C₂×C₄	1	2	yes	—
196	C₄×Q₈×C₄₃	C₂×C₄	1	1	yes	characteristic
197	C₄×Q₈×C₄₃	C₂×C₄	1	1	yes	characteristic
198	C₄×Q₈×C₄₃	C₂×C₄	1	2	yes	—
199	C₄×Q₈×C₄₃	C₂×C₄	1	1	yes	characteristic
200	C₄×Q₈×C₄₃	C₂×C₄	1	1	yes	characteristic
201	C₄×Q₈×C₄₃	C₂×C₄	1	1	yes	characteristic
202	C₄×Q₈×C₄₃	C₂×C₄	1	2	yes	—
203	C₄×Q₈×C₄₃	C₂×C₄	1	1	yes	characteristic
204	C₄×Q₈×C₄₃	C₂×C₄	1	2	yes	—
205	C₄×Q₈×C₄₃	C₂³	1	1	yes	characteristic
206	C₄×Q₈×C₄₃	C₂³	1	1	yes	characteristic
207	C₄×Q₈×C₄₃	C₂³	1	2	yes	—
208	C₄×D₄×C₄₃	C₂×C₄	1	1	yes	characteristic
209	C₄×D₄×C₄₃	C₂×C₄	1	1	yes	characteristic
210	C₄×D₄×C₄₃	C₂×C₄	1	2	yes	—
211	C₄×D₄×C₄₃	C₂×C₄	1	2	yes	—
212	C₄×D₄×C₄₃	C₂×C₄	1	1	yes	characteristic
213	C₄×D₄×C₄₃	C₂×C₄	1	2	yes	—
214	C₄×D₄×C₄₃	C₂×C₄	1	1	yes	characteristic
215	C₄×D₄×C₄₃	C₂×C₄	1	1	yes	characteristic
216	C₄×D₄×C₄₃	C₂×C₄	1	2	yes	—
217	C₄×D₄×C₄₃	C₂×C₄	1	2	yes	—
218	C₄×D₄×C₄₃	C₂×C₄	1	1	yes	characteristic
219	C₄×D₄×C₄₃	C₂×C₄	1	1	yes	characteristic
220	C₄×D₄×C₄₃	C₂×C₄	1	2	yes	—
221	C₄×D₄×C₄₃	C₂×C₄	1	2	yes	—
222	C₄×D₄×C₄₃	C₂×C₄	1	1	yes	characteristic
223	C₄×D₄×C₄₃	C₂×C₄	1	2	yes	—
224	C₄×D₄×C₄₃	C₂³	1	1	yes	characteristic
225	C₄×D₄×C₄₃	C₂³	1	1	yes	characteristic
226	C₄×D₄×C₄₃	C₂³	1	2	yes	—
227	C₄×D₄×C₄₃	C₂³	1	2	yes	—
228	C₄×D₄×C₄₃	C₂³	1	2	yes	—
229	C₄×D₄×C₄₃	C₂³	1	2	yes	—
230	C₄×D₄×C₄₃	C₂³	1	2	yes	—
231	#117×C₄₃	C₂×C₄	1	1	yes	characteristic
232	#117×C₄₃	C₂×C₄	1	1	yes	characteristic
233	#117×C₄₃	C₂×C₄	1	2	yes	—
234	#117×C₄₃	C₂×C₄	1	2	yes	—
235	#117×C₄₃	C₂³	1	1	yes	characteristic
236	#117×C₄₃	C₂³	1	1	yes	characteristic
237	#117×C₄₃	C₂³	1	2	yes	—
238	#117×C₄₃	C₂³	1	1	yes	characteristic
239	#117×C₄₃	C₂³	1	2	yes	—
240	C₂×C₄⋊C₄×C₄₃	C₂×C₄	1	1	yes	characteristic
241	C₂×C₄⋊C₄×C₄₃	C₂×C₄	1	2	yes	—
242	C₂×C₄²×C₄₃	C₂³	1	1	yes	characteristic
243	C₂×C₄²×C₄₃	C₂³	1	2	yes	—
244	C₂×C₄²×C₄₃	C₂³	1	1	yes	characteristic
245	C₂×C₄²×C₄₃	C₂³	1	2	yes	—
246	C₂×C₄²×C₄₃	C₂³	1	1	yes	characteristic
247	C₂×C₄²×C₄₃	C₂³	1	2	yes	—
248	C₄⋊C₈×C₄₃	C₂³	1	1	yes	characteristic
249	C₄⋊C₈×C₄₃	C₂³	1	2	yes	—
250	C₄⋊C₈×C₄₃	C₂³	1	2	yes	—
251	C₄⋊C₈×C₄₃	C₂³	1	2	yes	—
252	C₄⋊C₈×C₄₃	C₂³	1	1	yes	characteristic
253	C₄⋊C₈×C₄₃	C₂³	1	1	yes	characteristic
254	C₄⋊C₈×C₄₃	C₂³	1	2	yes	—
255	C₄⋊C₈×C₄₃	C₂³	1	1	yes	characteristic
256	C₄⋊C₈×C₄₃	C₂³	1	1	yes	characteristic
257	C₄⋊C₈×C₄₃	C₂³	1	1	yes	characteristic
258	C₄⋊C₈×C₄₃	C₂³	1	2	yes	—
259	C₄⋊C₈×C₄₃	C₂³	1	2	yes	—
260	C₄⋊C₈×C₄₃	C₂³	1	1	yes	characteristic
261	C₄⋊C₈×C₄₃	C₂³	1	1	yes	characteristic
262	C₄⋊C₈×C₄₃	C₂³	1	1	yes	characteristic
263	C₄⋊C₈×C₄₃	C₂³	1	1	yes	characteristic
264	C₄⋊C₈×C₄₃	C₂³	1	1	yes	characteristic
265	C₄⋊C₈×C₄₃	C₂³	1	1	yes	characteristic
266	C₄⋊C₈×C₄₃	C₂³	1	2	yes	—
267	C₄⋊C₈×C₄₃	C₂³	1	2	yes	—
268	C₄⋊C₈×C₄₃	C₂³	1	2	yes	—
269	C₄⋊C₈×C₄₃	C₂³	1	2	yes	—
270	C₂²⋊C₈×C₄₃	C₂³	1	1	yes	characteristic
271	C₂²⋊C₈×C₄₃	C₂³	1	1	yes	characteristic
272	C₂²⋊C₈×C₄₃	C₂³	1	1	yes	characteristic
273	C₂²⋊C₈×C₄₃	C₂³	1	1	yes	characteristic
274	C₂²⋊C₈×C₄₃	C₂³	1	2	yes	—
275	C₂²⋊C₈×C₄₃	C₂³	1	2	yes	—
276	C₂²⋊C₈×C₄₃	C₂³	1	1	yes	characteristic
277	C₂²⋊C₈×C₄₃	C₂³	1	2	yes	—
278	C₂²⋊C₈×C₄₃	C₂³	1	1	yes	characteristic
279	C₂²⋊C₈×C₄₃	C₂³	1	1	yes	characteristic
280	C₂²⋊C₈×C₄₃	C₂³	1	2	yes	—
281	C₂²⋊C₈×C₄₃	C₂³	1	2	yes	—
282	C₂²⋊C₈×C₄₃	C₂³	1	1	yes	characteristic
283	C₂²⋊C₈×C₄₃	C₂³	1	2	yes	—
284	C₂²⋊C₈×C₄₃	C₂³	1	2	yes	—
285	C₂²⋊C₈×C₄₃	C₂³	1	2	yes	—
286	C₂²⋊C₈×C₄₃	C₂³	1	2	yes	—
287	C₂²⋊C₈×C₄₃	C₂³	1	2	yes	—
288	C₂²⋊C₈×C₄₃	C₂³	1	2	yes	—
289	C₂²⋊C₈×C₄₃	C₂³	1	2	yes	—
290	#97×C₄₃	C₂³	1	1	yes	characteristic
291	#97×C₄₃	C₂³	1	2	yes	—
292	#97×C₄₃	C₂³	1	2	yes	—
293	#97×C₄₃	C₂³	1	2	yes	—
294	#97×C₄₃	C₂³	1	1	yes	characteristic
295	#97×C₄₃	C₂³	1	2	yes	—
296	#97×C₄₃	C₂³	1	2	yes	—
297	#97×C₄₃	C₂³	1	2	yes	—
298	#97×C₄₃	C₂³	1	2	yes	—
299	#97×C₄₃	C₂³	1	2	yes	—
300	C₄×C₈×C₄₃	C₂³	1	1	yes	characteristic
301	C₄×C₈×C₄₃	C₂³	1	1	yes	characteristic
302	C₄×C₈×C₄₃	C₂³	1	1	yes	characteristic
303	C₄×C₈×C₄₃	C₂³	1	1	yes	characteristic
304	C₄×C₈×C₄₃	C₂³	1	2	yes	—
305	C₄×C₈×C₄₃	C₂³	1	1	yes	characteristic
306	C₄×C₈×C₄₃	C₂³	1	1	yes	characteristic
307	C₄×C₈×C₄₃	C₂³	1	2	yes	—
308	C₄×C₈×C₄₃	C₂³	1	2	yes	—
309	C₄×C₈×C₄₃	C₂³	1	2	yes	—
310	#41×C₄₃	—	4	1	no	—
311	#41×C₄₃	—	4	2	no	—
312	#41×C₄₃	—	4	1	no	—
313	#41×C₄₃	—	4	2	no	—
314	#41×C₄₃	—	4	2	no	—
315	#41×C₄₃	—	4	2	no	—
316	C₂×Q₈×C₄₃	—	4	2	no	—
317	C₂×Q₈×C₄₃	C₂²×C₄	1	1	yes	characteristic
318	C₂×Q₈×C₄₃	C₂²×C₄	1	1	yes	characteristic
319	C₂×Q₈×C₄₃	C₂²×C₄	1	1	yes	characteristic
320	C₂×Q₈×C₄₃	C₂²×C₄	1	2	yes	—
321	C₂×Q₈×C₄₃	C₂²×C₄	1	2	yes	—
322	C₂×D₄×C₄₃	C₂²×C₄	1	1	yes	characteristic
323	C₂×D₄×C₄₃	C₂²×C₄	1	1	yes	characteristic
324	C₂×D₄×C₄₃	C₂²×C₄	1	1	yes	characteristic
325	C₂×D₄×C₄₃	C₂²×C₄	1	1	yes	characteristic
326	C₂×D₄×C₄₃	C₂²×C₄	1	2	yes	—
327	C₂×D₄×C₄₃	C₂²×C₄	1	2	yes	—
328	C₂×D₄×C₄₃	C₂²×C₄	1	1	yes	characteristic
329	C₂×D₄×C₄₃	C₂²×C₄	1	2	yes	—
330	C₂×D₄×C₄₃	C₂²×C₄	1	2	yes	—
331	C₂×D₄×C₄₃	C₂²×C₄	1	2	yes	—
332	C₂×D₄×C₄₃	C₂²×C₄	1	2	yes	—
333	C₂×D₄×C₄₃	C₂²×C₄	1	2	yes	—
334	C₂×D₄×C₄₃	C₂²×C₄	1	2	yes	—
335	C₂²×C₄×C₄₃	C₂²×C₄	1	1	yes	characteristic
336	C₂²×C₄×C₄₃	C₂²×C₄	1	1	yes	characteristic
337	C₂²×C₄×C₄₃	C₂²×C₄	1	1	yes	characteristic
338	C₂²×C₄×C₄₃	C₂²×C₄	1	1	yes	characteristic
339	C₂²×C₄×C₄₃	C₂²×C₄	1	2	yes	—
340	C₂²×C₄×C₄₃	C₂²×C₄	1	2	yes	—
341	C₂²×C₄×C₄₃	C₂²×C₄	1	2	yes	—
342	C₂²×C₄×C₄₃	C₂²×C₄	1	2	yes	—
343	C₂²×C₄×C₄₃	C₂²×C₄	1	1	yes	characteristic
344	C₂²×C₄×C₄₃	C₂²×C₄	1	2	yes	—
345	C₂²×C₄×C₄₃	C₂²×C₄	1	1	yes	characteristic
346	C₂²×C₄×C₄₃	C₂²×C₄	1	2	yes	—
347	C₂²×C₄×C₄₃	C₂⁴	1	1	yes	characteristic
348	C₂²×C₄×C₄₃	C₂⁴	1	1	yes	characteristic
349	C₂²×C₄×C₄₃	C₂⁴	1	2	yes	—
350	C₂²×C₄×C₄₃	C₂⁴	1	2	yes	—
351	C₂²×C₄×C₄₃	C₂⁴	1	1	yes	characteristic
352	M₁₆×C₄₃	—	4	1	no	—
353	M₁₆×C₄₃	—	4	2	no	—
354	M₁₆×C₄₃	—	4	2	no	—
355	M₁₆×C₄₃	—	4	1	no	—
356	M₁₆×C₄₃	—	4	2	no	—
357	M₁₆×C₄₃	—	4	2	no	—
358	M₁₆×C₄₃	—	4	2	no	—
359	C₂×C₈×C₄₃	—	4	2	no	—
360	C₂×C₈×C₄₃	—	4	1	no	—
361	C₂×C₈×C₄₃	—	4	2	no	—
362	C₂×C₈×C₄₃	—	4	2	no	—
363	C₂×C₈×C₄₃	—	4	2	no	—
364	C₂×C₈×C₄₃	—	4	2	no	—
365	C₂×C₈×C₄₃	—	4	1	no	—
366	C₂×C₈×C₄₃	C₂⁴	1	1	yes	characteristic
367	C₂×C₈×C₄₃	C₂⁴	1	1	yes	characteristic
368	C₂×C₈×C₄₃	C₂⁴	1	1	yes	characteristic
369	C₂×C₈×C₄₃	C₂⁴	1	1	yes	characteristic
370	C₂×C₈×C₄₃	C₂⁴	1	1	yes	characteristic
371	C₂×C₈×C₄₃	C₂⁴	1	2	yes	—
372	C₂×C₈×C₄₃	C₂⁴	1	2	yes	—
373	C₂×C₈×C₄₃	C₂⁴	1	1	yes	characteristic
374	C₂×C₈×C₄₃	C₂⁴	1	1	yes	characteristic
375	C₂×C₈×C₄₃	C₂⁴	1	1	yes	characteristic
376	C₂×C₈×C₄₃	C₂⁴	1	2	yes	—
377	C₂×C₈×C₄₃	C₂⁴	1	2	yes	—
378	C₄⋊C₄×C₄₃	C₂²×C₄	1	2	yes	—
379	C₄⋊C₄×C₄₃	C₂²×C₄	1	1	yes	characteristic
380	C₄⋊C₄×C₄₃	C₂²×C₄	1	2	yes	—
381	C₄⋊C₄×C₄₃	C₂²×C₄	1	1	yes	characteristic
382	C₄⋊C₄×C₄₃	C₂²×C₄	1	2	yes	—
383	C₄⋊C₄×C₄₃	C₂²×C₄	1	2	yes	—
384	C₄⋊C₄×C₄₃	C₂²×C₄	1	2	yes	—
385	C₄⋊C₄×C₄₃	C₂²×C₄	1	2	yes	—
386	C₄⋊C₄×C₄₃	C₂²×C₄	1	2	yes	—
387	C₄⋊C₄×C₄₃	C₂²×C₄	1	1	yes	characteristic
388	C₄⋊C₄×C₄₃	C₂²×C₄	1	1	yes	characteristic
389	C₄⋊C₄×C₄₃	C₂²×C₄	1	1	yes	characteristic
390	C₄⋊C₄×C₄₃	C₂²×C₄	1	1	yes	characteristic
391	C₄⋊C₄×C₄₃	C₂²×C₄	1	1	yes	characteristic
392	C₄⋊C₄×C₄₃	C₂²×C₄	1	2	yes	—
393	C₄⋊C₄×C₄₃	C₂²×C₄	1	1	yes	characteristic
394	C₄⋊C₄×C₄₃	C₂²×C₄	1	2	yes	—
395	C₄⋊C₄×C₄₃	C₂²×C₄	1	1	yes	characteristic
396	C₄⋊C₄×C₄₃	C₂²×C₄	1	2	yes	—
397	C₄⋊C₄×C₄₃	C₂²×C₄	1	1	yes	characteristic
398	C₄⋊C₄×C₄₃	C₂²×C₄	1	2	yes	—
399	C₄⋊C₄×C₄₃	C₂²×C₄	1	2	yes	—
400	C₄⋊C₄×C₄₃	C₂²×C₄	1	2	yes	—
401	C₄⋊C₄×C₄₃	C₂²×C₄	1	2	yes	—
402	C₂²⋊C₄×C₄₃	C₂²×C₄	1	2	yes	—
403	C₂²⋊C₄×C₄₃	C₂²×C₄	1	2	yes	—
404	C₂²⋊C₄×C₄₃	C₂²×C₄	1	2	yes	—
405	C₂²⋊C₄×C₄₃	C₂²×C₄	1	2	yes	—
406	C₂²⋊C₄×C₄₃	C₂²×C₄	1	2	yes	—
407	C₂²⋊C₄×C₄₃	C₂²×C₄	1	2	yes	—
408	C₂²⋊C₄×C₄₃	C₂²×C₄	1	1	yes	characteristic
409	C₂²⋊C₄×C₄₃	C₂²×C₄	1	1	yes	characteristic
410	C₂²⋊C₄×C₄₃	C₂²×C₄	1	1	yes	characteristic
411	C₂²⋊C₄×C₄₃	C₂²×C₄	1	2	yes	—
412	C₂²⋊C₄×C₄₃	C₂²×C₄	1	1	yes	characteristic
413	C₂²⋊C₄×C₄₃	C₂²×C₄	1	2	yes	—
414	C₂²⋊C₄×C₄₃	C₂²×C₄	1	1	yes	characteristic
415	C₂²⋊C₄×C₄₃	C₂²×C₄	1	2	yes	—
416	C₂²⋊C₄×C₄₃	C₂²×C₄	1	1	yes	characteristic
417	C₂²⋊C₄×C₄₃	C₂²×C₄	1	2	yes	—
418	C₂²⋊C₄×C₄₃	C₂²×C₄	1	2	yes	—
419	C₂²⋊C₄×C₄₃	C₂²×C₄	1	2	yes	—
420	C₂²⋊C₄×C₄₃	C₂²×C₄	1	2	yes	—
421	C₂²⋊C₄×C₄₃	C₂²×C₄	1	2	yes	—
422	C₂²⋊C₄×C₄₃	C₂²×C₄	1	2	yes	—
423	C₂²⋊C₄×C₄₃	C₂²×C₄	1	2	yes	—
424	C₄²×C₄₃	C₂²×C₄	1	1	yes	characteristic
425	C₄²×C₄₃	C₂²×C₄	1	2	yes	—
426	C₄²×C₄₃	C₂²×C₄	1	1	yes	characteristic
427	C₄²×C₄₃	C₂²×C₄	1	2	yes	—
428	C₄²×C₄₃	C₂²×C₄	1	2	yes	—
429	C₄²×C₄₃	C₂²×C₄	1	2	yes	—
430	C₄²×C₄₃	C₂²×C₄	1	1	yes	characteristic
431	C₄²×C₄₃	C₂²×C₄	1	1	yes	characteristic
432	C₄²×C₄₃	C₂²×C₄	1	1	yes	characteristic
433	C₄²×C₄₃	C₂²×C₄	1	2	yes	—
434	C₄²×C₄₃	C₂²×C₄	1	2	yes	—
435	C₄²×C₄₃	C₂²×C₄	1	1	yes	characteristic
436	C₄²×C₄₃	C₂⁴	1	1	yes	characteristic
437	C₄²×C₄₃	C₂⁴	1	1	yes	characteristic
438	C₄²×C₄₃	C₂⁴	1	2	yes	—
439	C₄²×C₄₃	C₂⁴	1	1	yes	characteristic
440	C₄²×C₄₃	C₂⁴	1	2	yes	—
441	C₄²×C₄₃	C₂⁴	1	1	yes	characteristic
442	C₂³×C₄₃	C₂³×C₄	1	1	yes	characteristic
443	C₂³×C₄₃	C₂³×C₄	1	1	yes	characteristic
444	C₂³×C₄₃	C₂³×C₄	1	2	yes	—
445	C₂³×C₄₃	C₂³×C₄	1	2	yes	—
446	C₂³×C₄₃	C₂³×C₄	1	1	yes	characteristic
447	Q₈×C₄₃	—	2	2	no	—
448	Q₈×C₄₃	—	2	2	no	—
449	Q₈×C₄₃	—	4	2	no	—
450	Q₈×C₄₃	—	4	1	no	—
451	Q₈×C₄₃	—	4	2	no	—
452	D₄×C₄₃	—	2	2	no	—
453	D₄×C₄₃	—	2	2	no	—
454	D₄×C₄₃	—	4	2	no	—
455	D₄×C₄₃	—	4	2	no	—
456	D₄×C₄₃	—	4	2	no	—
457	D₄×C₄₃	—	4	1	no	—
458	D₄×C₄₃	—	4	2	no	—
459	D₄×C₄₃	—	4	1	no	—
460	D₄×C₄₃	—	4	2	no	—
461	D₄×C₄₃	—	4	1	no	—
462	D₄×C₄₃	—	4	2	no	—
463	D₄×C₄₃	—	4	2	no	—
464	D₄×C₄₃	—	4	2	no	—
465	C₂×C₄×C₄₃	—	2	2	no	—
466	C₂×C₄×C₄₃	—	2	2	no	—
467	C₂×C₄×C₄₃	—	2	2	no	—
468	C₂×C₄×C₄₃	—	2	2	no	—
469	C₂×C₄×C₄₃	—	2	1	no	—
470	C₂×C₄×C₄₃	—	2	1	no	—
471	C₂×C₄×C₄₃	—	2	2	no	—
472	C₂×C₄×C₄₃	—	2	2	no	—
473	C₂×C₄×C₄₃	—	2	1	no	—
474	C₂×C₄×C₄₃	—	2	1	no	—
475	C₂×C₄×C₄₃	—	2	2	no	—
476	C₂×C₄×C₄₃	—	2	1	no	—
477	C₂×C₄×C₄₃	—	2	1	no	—
478	C₂×C₄×C₄₃	—	4	1	no	—
479	C₂×C₄×C₄₃	—	4	2	no	—
480	C₂×C₄×C₄₃	—	4	1	no	—
481	C₂×C₄×C₄₃	—	4	2	no	—
482	C₂×C₄×C₄₃	—	4	1	no	—
483	C₂×C₄×C₄₃	—	4	2	no	—
484	C₂×C₄×C₄₃	—	4	2	no	—
485	C₂×C₄×C₄₃	—	4	2	no	—
486	C₂×C₄×C₄₃	—	4	2	no	—
487	C₂×C₄×C₄₃	C₂³×C₄	1	1	yes	characteristic
488	C₂×C₄×C₄₃	C₂³×C₄	1	1	yes	characteristic
489	C₂×C₄×C₄₃	C₂³×C₄	1	1	yes	characteristic
490	C₂×C₄×C₄₃	C₂³×C₄	1	1	yes	characteristic
491	C₂×C₄×C₄₃	C₂³×C₄	1	2	yes	—
492	C₂×C₄×C₄₃	C₂³×C₄	1	1	yes	characteristic
493	C₂×C₄×C₄₃	C₂³×C₄	1	1	yes	characteristic
494	C₂×C₄×C₄₃	C₂³×C₄	1	2	yes	—
495	C₂×C₄×C₄₃	C₂³×C₄	1	1	yes	characteristic
496	C₂×C₄×C₄₃	C₂³×C₄	1	2	yes	—
497	C₂×C₄×C₄₃	C₂³×C₄	1	1	yes	characteristic
498	C₂×C₄×C₄₃	C₂³×C₄	1	2	yes	—
499	C₂×C₄×C₄₃	C₂³×C₄	1	1	yes	characteristic
500	C₂×C₄×C₄₃	C₂³×C₄	1	2	yes	—
501	C₂×C₄×C₄₃	C₂³×C₄	1	2	yes	—
502	C₂×C₄×C₄₃	C₂³×C₄	1	1	yes	characteristic
503	C₂×C₄×C₄₃	C₂³×C₄	1	1	yes	characteristic
504	C₂×C₄×C₄₃	C₂⁵	1	1	yes	characteristic
505	C₈×C₄₃	—	2	1	no	—
506	C₈×C₄₃	—	2	2	no	—
507	C₈×C₄₃	—	2	1	no	—
508	C₈×C₄₃	—	2	1	no	—
509	C₈×C₄₃	—	2	1	no	—
510	C₈×C₄₃	—	2	2	no	—
511	C₈×C₄₃	—	2	1	no	—
512	C₈×C₄₃	—	2	2	no	—
513	C₈×C₄₃	—	2	2	no	—
514	C₈×C₄₃	—	2	1	no	—
515	C₈×C₄₃	—	2	1	no	—
516	C₈×C₄₃	—	2	1	no	—
517	#60302	C₄₃	1	1	yes	maximal, characteristic, direct product factor, Sylow
518	C₂²×C₄₃	—	2	1	no	—
519	C₂²×C₄₃	—	2	2	no	—
520	C₂²×C₄₃	—	2	1	no	—
521	C₂²×C₄₃	—	2	2	no	—
522	C₂²×C₄₃	—	2	1	no	—
523	C₂²×C₄₃	—	2	1	no	—
524	C₂²×C₄₃	—	2	1	no	—
525	C₂²×C₄₃	—	2	1	no	—
526	C₂²×C₄₃	—	2	2	no	—
527	C₂²×C₄₃	—	2	2	no	—
528	C₂²×C₄₃	—	2	1	no	—
529	C₂²×C₄₃	—	2	1	no	—
530	C₂²×C₄₃	—	2	1	no	—
531	C₂²×C₄₃	—	2	2	no	—
532	C₂²×C₄₃	—	2	2	no	—
533	C₂²×C₄₃	C₂⁴×C₄	1	1	yes	characteristic
534	C₄×C₄₃	—	2	1	no	—
535	C₄×C₄₃	—	2	2	no	—
536	C₄×C₄₃	—	2	1	no	—
537	C₄×C₄₃	—	2	1	no	—
538	C₄×C₄₃	—	2	2	no	—
539	C₄×C₄₃	—	2	1	no	—
540	C₄×C₄₃	—	2	1	no	—
541	C₄×C₄₃	—	2	1	no	—
542	C₄×C₄₃	—	2	2	no	—
543	C₄×C₄₃	—	2	2	no	—
544	C₄×C₄₃	—	2	1	no	—
545	C₄×C₄₃	—	2	1	no	—
546	C₄×C₄₃	—	2	1	no	—
547	C₄×C₄₃	—	2	2	no	—
548	C₄×C₄₃	—	2	1	no	—
549	C₄×C₄₃	—	2	2	no	—
550	C₄×C₄₃	#568	1	2	yes	—
551	C₄×C₄₃	#585	1	1	yes	characteristic
552	C₄×C₄₃	#585	1	1	yes	characteristic
553	#3480	C₂×C₄₃	1	1	yes	characteristic
554	#2995	C₂×C₄₃	1	2	yes	complemented
555	#2994	C₂×C₄₃	1	1	yes	characteristic, complemented
556	#2993	C₂×C₄₃	1	1	yes	characteristic, complemented
557	#2992	C₂×C₄₃	1	2	yes	complemented
558	#2990	C₂×C₄₃	1	1	yes	characteristic, complemented
559	#2989	C₂×C₄₃	1	1	yes	characteristic, complemented
560	#2984	C₂×C₄₃	1	1	yes	characteristic, complemented
561	#2983	C₂×C₄₃	1	1	yes	characteristic, complemented
562	#2981	C₂×C₄₃	1	1	yes	characteristic, complemented
563	#2981	C₂×C₄₃	1	2	yes	complemented
564	#2980	C₂×C₄₃	1	2	yes	complemented
565	#2979	C₂×C₄₃	1	1	yes	characteristic, complemented
566	#2970	C₂×C₄₃	1	1	yes	characteristic, complemented
567	#2969	C₂×C₄₃	1	1	yes	characteristic, complemented
568	#2968	C₂×C₄₃	1	2	yes	complemented
569	#2967	C₂×C₄₃	1	2	yes	complemented
570	#2966	C₂×C₄₃	1	1	yes	characteristic, complemented
571	#2965	C₂×C₄₃	1	1	yes	characteristic, complemented
572	#2925	C₂×C₄₃	1	1	yes	characteristic, complemented
573	#2925	C₂×C₄₃	1	2	yes	complemented
574	#2923	C₂×C₄₃	1	2	yes	complemented
575	#2922	C₂×C₄₃	1	1	yes	characteristic, complemented
576	C₂×C₄₃	—	4	1	no	—
577	C₂×C₄₃	—	4	1	no	—
578	C₂×C₄₃	—	4	2	no	—
579	C₂×C₄₃	—	4	2	no	—
580	C₂×C₄₃	—	4	1	no	—
581	C₂×C₄₃	#3428	1	1	yes	characteristic
582	C₂×C₄₃	C₂×#568	1	1	yes	characteristic
583	C₂×C₄₃	#3573	1	1	yes	characteristic
584	#559	C₄×C₄₃	1	1	yes	characteristic
585	#559	C₄×C₄₃	1	2	yes	—
586	#557	C₄×C₄₃	1	1	yes	characteristic
587	#556	C₄×C₄₃	1	1	yes	characteristic
588	#556	C₄×C₄₃	1	2	yes	—
589	#553	C₄×C₄₃	1	1	yes	characteristic
590	#553	C₄×C₄₃	1	1	yes	characteristic
591	#553	C₄×C₄₃	1	2	yes	—
592	#553	C₄×C₄₃	1	2	yes	—
593	#550	C₄×C₄₃	1	1	yes	characteristic
594	#548	C₄×C₄₃	1	1	yes	characteristic
595	#548	C₄×C₄₃	1	1	yes	characteristic
596	#532	C₂²×C₄₃	1	1	yes	characteristic
597	#532	C₂²×C₄₃	1	2	yes	—
598	#529	C₂²×C₄₃	1	1	yes	characteristic
599	#529	C₂²×C₄₃	1	2	yes	—
600	#529	C₂²×C₄₃	1	2	yes	—
601	#529	C₂²×C₄₃	1	1	yes	characteristic
602	C₄×#41	C₂²×C₄₃	1	1	yes	characteristic
603	C₄×#41	C₂²×C₄₃	1	2	yes	—
604	C₄×#41	C₂²×C₄₃	1	1	yes	characteristic
605	C₄×#41	C₂²×C₄₃	1	1	yes	characteristic
606	C₂×C₄×Q₈	C₂²×C₄₃	1	1	yes	characteristic
607	#446	C₂²×C₄₃	1	1	yes	characteristic
608	#446	C₂²×C₄₃	1	1	yes	characteristic
609	#446	C₂²×C₄₃	1	1	yes	characteristic
610	#446	C₂²×C₄₃	1	2	yes	—
611	#446	C₂²×C₄₃	1	2	yes	—
612	#446	C₂²×C₄₃	1	2	yes	—
613	#446	C₂²×C₄₃	1	2	yes	—
614	#446	C₂²×C₄₃	1	1	yes	characteristic
615	#446	C₂²×C₄₃	1	1	yes	characteristic
616	#446	C₂²×C₄₃	1	1	yes	characteristic
617	C₈×Q₈	C₂²×C₄₃	1	1	yes	characteristic
618	C₈×Q₈	C₂²×C₄₃	1	1	yes	characteristic
619	#436	C₂²×C₄₃	1	1	yes	characteristic
620	#436	C₂²×C₄₃	1	1	yes	characteristic
621	#436	C₂²×C₄₃	1	1	yes	characteristic
622	#436	C₂²×C₄₃	1	2	yes	—
623	#436	C₂²×C₄₃	1	2	yes	—
624	#436	C₂²×C₄₃	1	1	yes	characteristic
625	#436	C₂²×C₄₃	1	2	yes	—
626	#435	C₂²×C₄₃	1	2	yes	—
627	#435	C₂²×C₄₃	1	2	yes	—
628	#435	C₂²×C₄₃	1	2	yes	—
629	#435	C₂²×C₄₃	1	2	yes	—
630	#435	C₂²×C₄₃	1	2	yes	—
631	#435	C₂²×C₄₃	1	2	yes	—
632	#435	C₂²×C₄₃	1	2	yes	—
633	#435	C₂²×C₄₃	1	2	yes	—
634	#435	C₂²×C₄₃	1	2	yes	—
635	#435	C₂²×C₄₃	1	2	yes	—
636	#435	C₂²×C₄₃	1	2	yes	—
637	#435	C₂²×C₄₃	1	2	yes	—
638	#435	C₂²×C₄₃	1	2	yes	—
639	#435	C₂²×C₄₃	1	2	yes	—
640	C₈×D₄	C₂²×C₄₃	1	1	yes	characteristic
641	C₈×D₄	C₂²×C₄₃	1	2	yes	—
642	C₈×D₄	C₂²×C₄₃	1	2	yes	—
643	C₈×D₄	C₂²×C₄₃	1	2	yes	—
644	C₈×D₄	C₂²×C₄₃	1	1	yes	characteristic
645	C₈×D₄	C₂²×C₄₃	1	1	yes	characteristic
646	C₈×D₄	C₂²×C₄₃	1	1	yes	characteristic
647	#433	C₂²×C₄₃	1	1	yes	characteristic
648	#433	C₂²×C₄₃	1	1	yes	characteristic
649	#433	C₂²×C₄₃	1	1	yes	characteristic
650	#433	C₂²×C₄₃	1	1	yes	characteristic
651	#433	C₂²×C₄₃	1	2	yes	—
652	#433	C₂²×C₄₃	1	2	yes	—
653	#433	C₂²×C₄₃	1	2	yes	—
654	#433	C₂²×C₄₃	1	2	yes	—
655	#433	C₂²×C₄₃	1	2	yes	—
656	#433	C₂²×C₄₃	1	2	yes	—
657	#432	C₂²×C₄₃	1	2	yes	—
658	#432	C₂²×C₄₃	1	2	yes	—
659	#432	C₂²×C₄₃	1	2	yes	—
660	#432	C₂²×C₄₃	1	2	yes	—
661	#432	C₂²×C₄₃	1	1	yes	characteristic
662	#432	C₂²×C₄₃	1	2	yes	—
663	#432	C₂²×C₄₃	1	2	yes	—
664	#432	C₂²×C₄₃	1	1	yes	characteristic
665	#431	C₂²×C₄₃	1	1	yes	characteristic
666	#431	C₂²×C₄₃	1	1	yes	characteristic
667	#431	C₂²×C₄₃	1	1	yes	characteristic
668	#431	C₂²×C₄₃	1	1	yes	characteristic
669	#431	C₂²×C₄₃	1	2	yes	—
670	#431	C₂²×C₄₃	1	1	yes	characteristic
671	#431	C₂²×C₄₃	1	1	yes	characteristic
672	#431	C₂²×C₄₃	1	2	yes	—
673	#424	C₂²×C₄₃	1	1	yes	characteristic
674	#424	C₂²×C₄₃	1	1	yes	characteristic
675	#424	C₂²×C₄₃	1	2	yes	—
676	#424	C₂²×C₄₃	1	2	yes	—
677	#423	C₂²×C₄₃	1	2	yes	—
678	#423	C₂²×C₄₃	1	1	yes	characteristic
679	C₂×C₄⋊C₈	C₂²×C₄₃	1	1	yes	characteristic
680	C₂×C₄⋊C₈	C₂²×C₄₃	1	2	yes	—
681	#408	C₂²×C₄₃	1	1	yes	characteristic
682	#408	C₂²×C₄₃	1	1	yes	characteristic
683	#408	C₂²×C₄₃	1	2	yes	—
684	#408	C₂²×C₄₃	1	2	yes	—
685	#408	C₂²×C₄₃	1	2	yes	—
686	#408	C₂²×C₄₃	1	2	yes	—
687	#408	C₂²×C₄₃	1	2	yes	—
688	#405	C₂²×C₄₃	1	2	yes	—
689	#405	C₂²×C₄₃	1	2	yes	—
690	#405	C₂²×C₄₃	1	2	yes	—
691	C₄×M₁₆	C₂²×C₄₃	1	1	yes	characteristic
692	C₄×M₁₆	C₂²×C₄₃	1	2	yes	—
693	C₂×#97	C₂²×C₄₃	1	2	yes	—
694	C₂×C₄×C₈	C₂²×C₄₃	1	1	yes	characteristic
695	C₄₃	#60302	1	1	yes	characteristic, direct product factor, Sylow
696	C₂×#41	C₂×C₄×C₄₃	1	1	yes	characteristic
697	C₂×#41	C₂×C₄×C₄₃	1	1	yes	characteristic
698	C₂×#41	C₂³×C₄₃	1	1	yes	characteristic
699	C₂×#41	C₂³×C₄₃	1	2	yes	—
700	C₂²×Q₈	C₂×C₄×C₄₃	1	1	yes	characteristic
701	C₂×M₁₆	C₂³×C₄₃	1	1	yes	characteristic
702	C₂×M₁₆	C₂³×C₄₃	1	1	yes	characteristic
703	C₂×M₁₆	C₂³×C₄₃	1	2	yes	—
704	C₂×M₁₆	C₂³×C₄₃	1	2	yes	—
705	C₂×M₁₆	C₂³×C₄₃	1	2	yes	—
706	C₂×M₁₆	C₂³×C₄₃	1	2	yes	—
707	C₂×M₁₆	C₂³×C₄₃	1	2	yes	—
708	C₂²×C₈	C₂³×C₄₃	1	1	yes	characteristic
709	C₂²×C₈	C₂³×C₄₃	1	1	yes	characteristic
710	C₂²×C₈	C₂³×C₄₃	1	2	yes	—
711	C₂²×C₈	C₂³×C₄₃	1	2	yes	—
712	C₂²×C₈	C₂³×C₄₃	1	2	yes	—
713	C₂²×C₈	C₂³×C₄₃	1	2	yes	—
714	C₂²×C₈	C₂³×C₄₃	1	2	yes	—
715	C₄⋊Q₈	C₂×C₄×C₄₃	1	1	yes	characteristic
716	C₄⋊Q₈	C₂×C₄×C₄₃	1	2	yes	—
717	#127	C₂×C₄×C₄₃	1	1	yes	characteristic
718	#127	C₂×C₄×C₄₃	1	2	yes	—
719	#126	C₂×C₄×C₄₃	1	2	yes	—
720	#126	C₂×C₄×C₄₃	1	2	yes	—
721	#126	C₂×C₄×C₄₃	1	2	yes	—
722	#126	C₂×C₄×C₄₃	1	2	yes	—
723	#126	C₂×C₄×C₄₃	1	2	yes	—
724	#126	C₂×C₄×C₄₃	1	2	yes	—
725	#125	C₂×C₄×C₄₃	1	1	yes	characteristic
726	#125	C₂×C₄×C₄₃	1	2	yes	—
727	#125	C₂×C₄×C₄₃	1	2	yes	—
728	#125	C₂×C₄×C₄₃	1	1	yes	characteristic
729	#124	C₂×C₄×C₄₃	1	1	yes	characteristic
730	#124	C₂×C₄×C₄₃	1	1	yes	characteristic
731	#124	C₂×C₄×C₄₃	1	2	yes	—
732	#124	C₂×C₄×C₄₃	1	2	yes	—
733	#124	C₂×C₄×C₄₃	1	2	yes	—
734	#124	C₂×C₄×C₄₃	1	2	yes	—
735	#124	C₂×C₄×C₄₃	1	2	yes	—
736	#123	C₂×C₄×C₄₃	1	2	yes	—
737	#123	C₂×C₄×C₄₃	1	2	yes	—
738	#123	C₂×C₄×C₄₃	1	2	yes	—
739	#123	C₂×C₄×C₄₃	1	2	yes	—
740	#123	C₂×C₄×C₄₃	1	2	yes	—
741	#123	C₂×C₄×C₄₃	1	2	yes	—
742	C₂²⋊Q₈	C₂×C₄×C₄₃	1	1	yes	characteristic
743	C₂²⋊Q₈	C₂×C₄×C₄₃	1	1	yes	characteristic
744	C₂²⋊Q₈	C₂×C₄×C₄₃	1	2	yes	—
745	C₂²⋊Q₈	C₂×C₄×C₄₃	1	2	yes	—
746	#121	C₂×C₄×C₄₃	1	1	yes	characteristic
747	#121	C₂×C₄×C₄₃	1	1	yes	characteristic
748	#121	C₂×C₄×C₄₃	1	2	yes	—
749	#121	C₂×C₄×C₄₃	1	2	yes	—
750	#121	C₂×C₄×C₄₃	1	1	yes	characteristic
751	#121	C₂×C₄×C₄₃	1	1	yes	characteristic
752	#121	C₂×C₄×C₄₃	1	2	yes	—
753	#121	C₂×C₄×C₄₃	1	2	yes	—
754	#121	C₂×C₄×C₄₃	1	2	yes	—
755	#121	C₂×C₄×C₄₃	1	2	yes	—
756	#121	C₂×C₄×C₄₃	1	2	yes	—
757	C₄×Q₈	C₂×C₄×C₄₃	1	1	yes	characteristic
758	C₄×Q₈	C₂×C₄×C₄₃	1	1	yes	characteristic
759	C₄×Q₈	C₂×C₄×C₄₃	1	2	yes	—
760	C₄×Q₈	C₂×C₄×C₄₃	1	1	yes	characteristic
761	C₄×Q₈	C₂×C₄×C₄₃	1	1	yes	characteristic
762	C₄×Q₈	C₂×C₄×C₄₃	1	1	yes	characteristic
763	C₄×Q₈	C₂×C₄×C₄₃	1	2	yes	—
764	C₄×Q₈	C₂×C₄×C₄₃	1	1	yes	characteristic
765	C₄×Q₈	C₂×C₄×C₄₃	1	2	yes	—
766	C₄×Q₈	C₂³×C₄₃	1	1	yes	characteristic
767	C₄×Q₈	C₂³×C₄₃	1	1	yes	characteristic
768	C₄×Q₈	C₂³×C₄₃	1	2	yes	—
769	C₄×D₄	C₂×C₄×C₄₃	1	1	yes	characteristic
770	C₄×D₄	C₂×C₄×C₄₃	1	1	yes	characteristic
771	C₄×D₄	C₂×C₄×C₄₃	1	2	yes	—
772	C₄×D₄	C₂×C₄×C₄₃	1	2	yes	—
773	C₄×D₄	C₂×C₄×C₄₃	1	1	yes	characteristic
774	C₄×D₄	C₂×C₄×C₄₃	1	2	yes	—
775	C₄×D₄	C₂×C₄×C₄₃	1	1	yes	characteristic
776	C₄×D₄	C₂×C₄×C₄₃	1	1	yes	characteristic
777	C₄×D₄	C₂×C₄×C₄₃	1	2	yes	—
778	C₄×D₄	C₂×C₄×C₄₃	1	2	yes	—
779	C₄×D₄	C₂×C₄×C₄₃	1	1	yes	characteristic
780	C₄×D₄	C₂×C₄×C₄₃	1	1	yes	characteristic
781	C₄×D₄	C₂×C₄×C₄₃	1	2	yes	—
782	C₄×D₄	C₂×C₄×C₄₃	1	2	yes	—
783	C₄×D₄	C₂×C₄×C₄₃	1	1	yes	characteristic
784	C₄×D₄	C₂×C₄×C₄₃	1	2	yes	—
785	C₄×D₄	C₂³×C₄₃	1	1	yes	characteristic
786	C₄×D₄	C₂³×C₄₃	1	1	yes	characteristic
787	C₄×D₄	C₂³×C₄₃	1	2	yes	—
788	C₄×D₄	C₂³×C₄₃	1	2	yes	—
789	C₄×D₄	C₂³×C₄₃	1	2	yes	—
790	C₄×D₄	C₂³×C₄₃	1	2	yes	—
791	C₄×D₄	C₂³×C₄₃	1	2	yes	—
792	#117	C₂×C₄×C₄₃	1	1	yes	characteristic
793	#117	C₂×C₄×C₄₃	1	1	yes	characteristic
794	#117	C₂×C₄×C₄₃	1	2	yes	—
795	#117	C₂×C₄×C₄₃	1	2	yes	—
796	#117	C₂³×C₄₃	1	1	yes	characteristic
797	#117	C₂³×C₄₃	1	1	yes	characteristic
798	#117	C₂³×C₄₃	1	2	yes	—
799	#117	C₂³×C₄₃	1	1	yes	characteristic
800	#117	C₂³×C₄₃	1	2	yes	—
801	C₂×C₄⋊C₄	C₂×C₄×C₄₃	1	1	yes	characteristic
802	C₂×C₄⋊C₄	C₂×C₄×C₄₃	1	2	yes	—
803	C₂×C₄²	C₂³×C₄₃	1	1	yes	characteristic
804	C₂×C₄²	C₂³×C₄₃	1	2	yes	—
805	C₂×C₄²	C₂³×C₄₃	1	1	yes	characteristic
806	C₂×C₄²	C₂³×C₄₃	1	2	yes	—
807	C₂×C₄²	C₂³×C₄₃	1	1	yes	characteristic
808	C₂×C₄²	C₂³×C₄₃	1	2	yes	—
809	C₄⋊C₈	C₂³×C₄₃	1	1	yes	characteristic
810	C₄⋊C₈	C₂³×C₄₃	1	2	yes	—
811	C₄⋊C₈	C₂³×C₄₃	1	2	yes	—
812	C₄⋊C₈	C₂³×C₄₃	1	2	yes	—
813	C₄⋊C₈	C₂³×C₄₃	1	1	yes	characteristic
814	C₄⋊C₈	C₂³×C₄₃	1	1	yes	characteristic
815	C₄⋊C₈	C₂³×C₄₃	1	2	yes	—
816	C₄⋊C₈	C₂³×C₄₃	1	1	yes	characteristic
817	C₄⋊C₈	C₂³×C₄₃	1	1	yes	characteristic
818	C₄⋊C₈	C₂³×C₄₃	1	1	yes	characteristic
819	C₄⋊C₈	C₂³×C₄₃	1	2	yes	—
820	C₄⋊C₈	C₂³×C₄₃	1	2	yes	—
821	C₄⋊C₈	C₂³×C₄₃	1	1	yes	characteristic
822	C₄⋊C₈	C₂³×C₄₃	1	1	yes	characteristic
823	C₄⋊C₈	C₂³×C₄₃	1	1	yes	characteristic
824	C₄⋊C₈	C₂³×C₄₃	1	1	yes	characteristic
825	C₄⋊C₈	C₂³×C₄₃	1	1	yes	characteristic
826	C₄⋊C₈	C₂³×C₄₃	1	1	yes	characteristic
827	C₄⋊C₈	C₂³×C₄₃	1	2	yes	—
828	C₄⋊C₈	C₂³×C₄₃	1	2	yes	—
829	C₄⋊C₈	C₂³×C₄₃	1	2	yes	—
830	C₄⋊C₈	C₂³×C₄₃	1	2	yes	—
831	C₂²⋊C₈	C₂³×C₄₃	1	1	yes	characteristic
832	C₂²⋊C₈	C₂³×C₄₃	1	1	yes	characteristic
833	C₂²⋊C₈	C₂³×C₄₃	1	1	yes	characteristic
834	C₂²⋊C₈	C₂³×C₄₃	1	1	yes	characteristic
835	C₂²⋊C₈	C₂³×C₄₃	1	2	yes	—
836	C₂²⋊C₈	C₂³×C₄₃	1	2	yes	—
837	C₂²⋊C₈	C₂³×C₄₃	1	1	yes	characteristic
838	C₂²⋊C₈	C₂³×C₄₃	1	2	yes	—
839	C₂²⋊C₈	C₂³×C₄₃	1	1	yes	characteristic
840	C₂²⋊C₈	C₂³×C₄₃	1	1	yes	characteristic
841	C₂²⋊C₈	C₂³×C₄₃	1	2	yes	—
842	C₂²⋊C₈	C₂³×C₄₃	1	2	yes	—
843	C₂²⋊C₈	C₂³×C₄₃	1	1	yes	characteristic
844	C₂²⋊C₈	C₂³×C₄₃	1	2	yes	—
845	C₂²⋊C₈	C₂³×C₄₃	1	2	yes	—
846	C₂²⋊C₈	C₂³×C₄₃	1	2	yes	—
847	C₂²⋊C₈	C₂³×C₄₃	1	2	yes	—
848	C₂²⋊C₈	C₂³×C₄₃	1	2	yes	—
849	C₂²⋊C₈	C₂³×C₄₃	1	2	yes	—
850	C₂²⋊C₈	C₂³×C₄₃	1	2	yes	—
851	#97	C₂³×C₄₃	1	1	yes	characteristic
852	#97	C₂³×C₄₃	1	2	yes	—
853	#97	C₂³×C₄₃	1	2	yes	—
854	#97	C₂³×C₄₃	1	2	yes	—
855	#97	C₂³×C₄₃	1	1	yes	characteristic
856	#97	C₂³×C₄₃	1	2	yes	—
857	#97	C₂³×C₄₃	1	2	yes	—
858	#97	C₂³×C₄₃	1	2	yes	—
859	#97	C₂³×C₄₃	1	2	yes	—
860	#97	C₂³×C₄₃	1	2	yes	—
861	C₄×C₈	C₂³×C₄₃	1	1	yes	characteristic
862	C₄×C₈	C₂³×C₄₃	1	1	yes	characteristic
863	C₄×C₈	C₂³×C₄₃	1	1	yes	characteristic
864	C₄×C₈	C₂³×C₄₃	1	1	yes	characteristic
865	C₄×C₈	C₂³×C₄₃	1	2	yes	—
866	C₄×C₈	C₂³×C₄₃	1	1	yes	characteristic
867	C₄×C₈	C₂³×C₄₃	1	1	yes	characteristic
868	C₄×C₈	C₂³×C₄₃	1	2	yes	—
869	C₄×C₈	C₂³×C₄₃	1	2	yes	—
870	C₄×C₈	C₂³×C₄₃	1	2	yes	—
871	#41	—	4	1	no	—
872	#41	—	4	2	no	—
873	#41	—	4	1	no	—
874	#41	—	4	2	no	—
875	#41	—	4	2	no	—
876	#41	—	4	2	no	—
877	C₂×Q₈	—	4	2	no	—
878	C₂×Q₈	C₂²×C₄×C₄₃	1	1	yes	characteristic
879	C₂×Q₈	C₂²×C₄×C₄₃	1	1	yes	characteristic
880	C₂×Q₈	C₂²×C₄×C₄₃	1	2	yes	—
881	C₂×Q₈	C₂²×C₄×C₄₃	1	1	yes	characteristic
882	C₂×Q₈	C₂²×C₄×C₄₃	1	2	yes	—
883	C₂×D₄	C₂²×C₄×C₄₃	1	1	yes	characteristic
884	C₂×D₄	C₂²×C₄×C₄₃	1	1	yes	characteristic
885	C₂×D₄	C₂²×C₄×C₄₃	1	2	yes	—
886	C₂×D₄	C₂²×C₄×C₄₃	1	2	yes	—
887	C₂×D₄	C₂²×C₄×C₄₃	1	2	yes	—
888	C₂×D₄	C₂²×C₄×C₄₃	1	2	yes	—
889	C₂×D₄	C₂²×C₄×C₄₃	1	2	yes	—
890	C₂×D₄	C₂²×C₄×C₄₃	1	1	yes	characteristic
891	C₂×D₄	C₂²×C₄×C₄₃	1	1	yes	characteristic
892	C₂×D₄	C₂²×C₄×C₄₃	1	2	yes	—
893	C₂×D₄	C₂²×C₄×C₄₃	1	2	yes	—
894	C₂×D₄	C₂²×C₄×C₄₃	1	1	yes	characteristic
895	C₂×D₄	C₂²×C₄×C₄₃	1	2	yes	—
896	C₂²×C₄	C₂²×C₄×C₄₃	1	1	yes	characteristic
897	C₂²×C₄	C₂²×C₄×C₄₃	1	1	yes	characteristic
898	C₂²×C₄	C₂²×C₄×C₄₃	1	1	yes	characteristic
899	C₂²×C₄	C₂²×C₄×C₄₃	1	1	yes	characteristic
900	C₂²×C₄	C₂²×C₄×C₄₃	1	2	yes	—
901	C₂²×C₄	C₂²×C₄×C₄₃	1	2	yes	—
902	C₂²×C₄	C₂²×C₄×C₄₃	1	2	yes	—
903	C₂²×C₄	C₂²×C₄×C₄₃	1	2	yes	—
904	C₂²×C₄	C₂²×C₄×C₄₃	1	1	yes	characteristic
905	C₂²×C₄	C₂²×C₄×C₄₃	1	2	yes	—
906	C₂²×C₄	C₂²×C₄×C₄₃	1	1	yes	characteristic
907	C₂²×C₄	C₂²×C₄×C₄₃	1	2	yes	—
908	C₂²×C₄	C₂⁴×C₄₃	1	1	yes	characteristic
909	C₂²×C₄	C₂⁴×C₄₃	1	1	yes	characteristic
910	C₂²×C₄	C₂⁴×C₄₃	1	2	yes	—
911	C₂²×C₄	C₂⁴×C₄₃	1	2	yes	—
912	C₂²×C₄	C₂⁴×C₄₃	1	1	yes	characteristic
913	M₁₆	—	4	1	no	—
914	M₁₆	—	4	2	no	—
915	M₁₆	—	4	2	no	—
916	M₁₆	—	4	1	no	—
917	M₁₆	—	4	2	no	—
918	M₁₆	—	4	2	no	—
919	M₁₆	—	4	2	no	—
920	C₂×C₈	—	4	2	no	—
921	C₂×C₈	—	4	1	no	—
922	C₂×C₈	—	4	2	no	—
923	C₂×C₈	—	4	2	no	—
924	C₂×C₈	—	4	2	no	—
925	C₂×C₈	—	4	2	no	—
926	C₂×C₈	—	4	1	no	—
927	C₂×C₈	C₂⁴×C₄₃	1	1	yes	characteristic
928	C₂×C₈	C₂⁴×C₄₃	1	1	yes	characteristic
929	C₂×C₈	C₂⁴×C₄₃	1	1	yes	characteristic
930	C₂×C₈	C₂⁴×C₄₃	1	1	yes	characteristic
931	C₂×C₈	C₂⁴×C₄₃	1	1	yes	characteristic
932	C₂×C₈	C₂⁴×C₄₃	1	2	yes	—
933	C₂×C₈	C₂⁴×C₄₃	1	2	yes	—
934	C₂×C₈	C₂⁴×C₄₃	1	1	yes	characteristic
935	C₂×C₈	C₂⁴×C₄₃	1	1	yes	characteristic
936	C₂×C₈	C₂⁴×C₄₃	1	1	yes	characteristic
937	C₂×C₈	C₂⁴×C₄₃	1	2	yes	—
938	C₂×C₈	C₂⁴×C₄₃	1	2	yes	—
939	C₄⋊C₄	C₂²×C₄×C₄₃	1	2	yes	—
940	C₄⋊C₄	C₂²×C₄×C₄₃	1	1	yes	characteristic
941	C₄⋊C₄	C₂²×C₄×C₄₃	1	2	yes	—
942	C₄⋊C₄	C₂²×C₄×C₄₃	1	1	yes	characteristic
943	C₄⋊C₄	C₂²×C₄×C₄₃	1	2	yes	—
944	C₄⋊C₄	C₂²×C₄×C₄₃	1	2	yes	—
945	C₄⋊C₄	C₂²×C₄×C₄₃	1	2	yes	—
946	C₄⋊C₄	C₂²×C₄×C₄₃	1	1	yes	characteristic
947	C₄⋊C₄	C₂²×C₄×C₄₃	1	1	yes	characteristic
948	C₄⋊C₄	C₂²×C₄×C₄₃	1	1	yes	characteristic
949	C₄⋊C₄	C₂²×C₄×C₄₃	1	2	yes	—
950	C₄⋊C₄	C₂²×C₄×C₄₃	1	1	yes	characteristic
951	C₄⋊C₄	C₂²×C₄×C₄₃	1	2	yes	—
952	C₄⋊C₄	C₂²×C₄×C₄₃	1	1	yes	characteristic
953	C₄⋊C₄	C₂²×C₄×C₄₃	1	2	yes	—
954	C₄⋊C₄	C₂²×C₄×C₄₃	1	1	yes	characteristic
955	C₄⋊C₄	C₂²×C₄×C₄₃	1	2	yes	—
956	C₄⋊C₄	C₂²×C₄×C₄₃	1	2	yes	—
957	C₄⋊C₄	C₂²×C₄×C₄₃	1	2	yes	—
958	C₄⋊C₄	C₂²×C₄×C₄₃	1	1	yes	characteristic
959	C₄⋊C₄	C₂²×C₄×C₄₃	1	1	yes	characteristic
960	C₄⋊C₄	C₂²×C₄×C₄₃	1	2	yes	—
961	C₄⋊C₄	C₂²×C₄×C₄₃	1	2	yes	—
962	C₄⋊C₄	C₂²×C₄×C₄₃	1	2	yes	—
963	C₂²⋊C₄	C₂²×C₄×C₄₃	1	1	yes	characteristic
964	C₂²⋊C₄	C₂²×C₄×C₄₃	1	1	yes	characteristic
965	C₂²⋊C₄	C₂²×C₄×C₄₃	1	1	yes	characteristic
966	C₂²⋊C₄	C₂²×C₄×C₄₃	1	2	yes	—
967	C₂²⋊C₄	C₂²×C₄×C₄₃	1	1	yes	characteristic
968	C₂²⋊C₄	C₂²×C₄×C₄₃	1	2	yes	—
969	C₂²⋊C₄	C₂²×C₄×C₄₃	1	1	yes	characteristic
970	C₂²⋊C₄	C₂²×C₄×C₄₃	1	2	yes	—
971	C₂²⋊C₄	C₂²×C₄×C₄₃	1	1	yes	characteristic
972	C₂²⋊C₄	C₂²×C₄×C₄₃	1	2	yes	—
973	C₂²⋊C₄	C₂²×C₄×C₄₃	1	2	yes	—
974	C₂²⋊C₄	C₂²×C₄×C₄₃	1	2	yes	—
975	C₂²⋊C₄	C₂²×C₄×C₄₃	1	2	yes	—
976	C₂²⋊C₄	C₂²×C₄×C₄₃	1	2	yes	—
977	C₂²⋊C₄	C₂²×C₄×C₄₃	1	2	yes	—
978	C₂²⋊C₄	C₂²×C₄×C₄₃	1	2	yes	—
979	C₂²⋊C₄	C₂²×C₄×C₄₃	1	2	yes	—
980	C₂²⋊C₄	C₂²×C₄×C₄₃	1	2	yes	—
981	C₂²⋊C₄	C₂²×C₄×C₄₃	1	2	yes	—
982	C₂²⋊C₄	C₂²×C₄×C₄₃	1	2	yes	—
983	C₂²⋊C₄	C₂²×C₄×C₄₃	1	2	yes	—
984	C₂²⋊C₄	C₂²×C₄×C₄₃	1	2	yes	—
985	C₄²	C₂²×C₄×C₄₃	1	1	yes	characteristic
986	C₄²	C₂²×C₄×C₄₃	1	2	yes	—
987	C₄²	C₂²×C₄×C₄₃	1	1	yes	characteristic
988	C₄²	C₂²×C₄×C₄₃	1	2	yes	—
989	C₄²	C₂²×C₄×C₄₃	1	2	yes	—
990	C₄²	C₂²×C₄×C₄₃	1	2	yes	—
991	C₄²	C₂²×C₄×C₄₃	1	1	yes	characteristic
992	C₄²	C₂²×C₄×C₄₃	1	1	yes	characteristic
993	C₄²	C₂²×C₄×C₄₃	1	1	yes	characteristic
994	C₄²	C₂²×C₄×C₄₃	1	2	yes	—
995	C₄²	C₂²×C₄×C₄₃	1	2	yes	—
996	C₄²	C₂²×C₄×C₄₃	1	1	yes	characteristic
997	C₄²	C₂⁴×C₄₃	1	1	yes	characteristic
998	C₄²	C₂⁴×C₄₃	1	1	yes	characteristic
999	C₄²	C₂⁴×C₄₃	1	2	yes	—
1000	C₄²	C₂⁴×C₄₃	1	1	yes	characteristic
1001	C₄²	C₂⁴×C₄₃	1	2	yes	—
1002	C₄²	C₂⁴×C₄₃	1	1	yes	characteristic
1003	C₂³	C₂³×C₄×C₄₃	1	1	yes	characteristic
1004	C₂³	C₂³×C₄×C₄₃	1	1	yes	characteristic
1005	C₂³	C₂³×C₄×C₄₃	1	2	yes	—
1006	C₂³	C₂³×C₄×C₄₃	1	2	yes	—
1007	C₂³	C₂³×C₄×C₄₃	1	1	yes	characteristic
1008	Q₈	—	2	2	no	—
1009	Q₈	—	2	2	no	—
1010	Q₈	—	4	2	no	—
1011	Q₈	—	4	1	no	—
1012	Q₈	—	4	2	no	—
1013	D₄	—	2	2	no	—
1014	D₄	—	2	2	no	—
1015	D₄	—	4	1	no	—
1016	D₄	—	4	2	no	—
1017	D₄	—	4	1	no	—
1018	D₄	—	4	2	no	—
1019	D₄	—	4	1	no	—
1020	D₄	—	4	2	no	—
1021	D₄	—	4	2	no	—
1022	D₄	—	4	2	no	—
1023	D₄	—	4	2	no	—
1024	D₄	—	4	2	no	—
1025	D₄	—	4	2	no	—
1026	C₂×C₄	—	2	2	no	—
1027	C₂×C₄	—	2	2	no	—
1028	C₂×C₄	—	2	2	no	—
1029	C₂×C₄	—	2	2	no	—
1030	C₂×C₄	—	2	1	no	—
1031	C₂×C₄	—	2	1	no	—
1032	C₂×C₄	—	2	2	no	—
1033	C₂×C₄	—	2	2	no	—
1034	C₂×C₄	—	2	1	no	—
1035	C₂×C₄	—	2	1	no	—
1036	C₂×C₄	—	2	2	no	—
1037	C₂×C₄	—	2	1	no	—
1038	C₂×C₄	—	2	1	no	—
1039	C₂×C₄	—	4	2	no	—
1040	C₂×C₄	—	4	2	no	—
1041	C₂×C₄	—	4	2	no	—
1042	C₂×C₄	—	4	1	no	—
1043	C₂×C₄	—	4	2	no	—
1044	C₂×C₄	—	4	1	no	—
1045	C₂×C₄	—	4	2	no	—
1046	C₂×C₄	—	4	1	no	—
1047	C₂×C₄	—	4	2	no	—
1048	C₂×C₄	C₂³×C₄×C₄₃	1	1	yes	characteristic
1049	C₂×C₄	C₂³×C₄×C₄₃	1	1	yes	characteristic
1050	C₂×C₄	C₂³×C₄×C₄₃	1	1	yes	characteristic
1051	C₂×C₄	C₂³×C₄×C₄₃	1	1	yes	characteristic
1052	C₂×C₄	C₂³×C₄×C₄₃	1	2	yes	—
1053	C₂×C₄	C₂³×C₄×C₄₃	1	1	yes	characteristic
1054	C₂×C₄	C₂³×C₄×C₄₃	1	1	yes	characteristic
1055	C₂×C₄	C₂³×C₄×C₄₃	1	2	yes	—
1056	C₂×C₄	C₂³×C₄×C₄₃	1	1	yes	characteristic
1057	C₂×C₄	C₂³×C₄×C₄₃	1	2	yes	—
1058	C₂×C₄	C₂³×C₄×C₄₃	1	1	yes	characteristic
1059	C₂×C₄	C₂³×C₄×C₄₃	1	2	yes	—
1060	C₂×C₄	C₂³×C₄×C₄₃	1	1	yes	characteristic
1061	C₂×C₄	C₂³×C₄×C₄₃	1	2	yes	—
1062	C₂×C₄	C₂³×C₄×C₄₃	1	2	yes	—
1063	C₂×C₄	C₂³×C₄×C₄₃	1	1	yes	characteristic
1064	C₂×C₄	C₂³×C₄×C₄₃	1	1	yes	characteristic
1065	C₂×C₄	C₂⁵×C₄₃	1	1	yes	characteristic
1066	C₈	—	2	1	no	—
1067	C₈	—	2	2	no	—
1068	C₈	—	2	1	no	—
1069	C₈	—	2	1	no	—
1070	C₈	—	2	1	no	—
1071	C₈	—	2	2	no	—
1072	C₈	—	2	1	no	—
1073	C₈	—	2	2	no	—
1074	C₈	—	2	2	no	—
1075	C₈	—	2	1	no	—
1076	C₈	—	2	1	no	—
1077	C₈	—	2	1	no	—
1078	C₂²	—	2	1	no	—
1079	C₂²	—	2	1	no	—
1080	C₂²	—	2	2	no	—
1081	C₂²	—	2	1	no	—
1082	C₂²	—	2	2	no	—
1083	C₂²	—	2	1	no	—
1084	C₂²	—	2	1	no	—
1085	C₂²	—	2	1	no	—
1086	C₂²	—	2	2	no	—
1087	C₂²	—	2	2	no	—
1088	C₂²	—	2	1	no	—
1089	C₂²	—	2	1	no	—
1090	C₂²	—	2	1	no	—
1091	C₂²	—	2	2	no	—
1092	C₂²	—	2	2	no	—
1093	C₂²	C₂⁴×C₄×C₄₃	1	1	yes	characteristic
1094	C₄	—	2	1	no	—
1095	C₄	—	2	2	no	—
1096	C₄	—	2	1	no	—
1097	C₄	—	2	1	no	—
1098	C₄	—	2	2	no	—
1099	C₄	—	2	1	no	—
1100	C₄	—	2	1	no	—
1101	C₄	—	2	1	no	—
1102	C₄	—	2	2	no	—
1103	C₄	—	2	2	no	—
1104	C₄	—	2	1	no	—
1105	C₄	—	2	1	no	—
1106	C₄	—	2	1	no	—
1107	C₄	—	2	2	no	—
1108	C₄	—	2	1	no	—
1109	C₄	—	2	2	no	—
1110	C₄	C₄₃×#568	1	2	yes	—
1111	C₄	C₄₃×#585	1	1	yes	characteristic
1112	C₄	C₄₃×#585	1	1	yes	characteristic
1113	C₂	—	4	1	no	—
1114	C₂	—	4	1	no	—
1115	C₂	—	4	1	no	—
1116	C₂	—	4	2	no	—
1117	C₂	—	4	2	no	—
1118	C₂	C₄₃×#3428	1	1	yes	characteristic
1119	C₂	C₂×C₄₃×#568	1	1	yes	characteristic
1120	C₂	C₄₃×#3573	1	1	yes	characteristic

	subgroup	G/H
center	C₂×C₄×C₄₃	C₂⁵
commutator	C₂²	C₂⁴×C₄×C₄₃
Frattini, cosocle	C₂×C₄	C₂⁵×C₄₃
socle	C₂²×C₄₃	C₂⁴×C₄
prime radical	C₄₃×#3480	C₂
LCS	G ▷ C₂² ▷ C₁
UCS	C₁ ◁ C₂×C₄×C₄₃ ◁ G

Complements

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

N	H ≅ G/N	type
2. C₄₃×#2995	C₂	semidirect
3. C₄₃×#2994	C₂	semidirect
4. C₄₃×#2993	C₂	semidirect
5. C₄₃×#2992	C₂	semidirect
6. C₄₃×#2990	C₂	semidirect
7. C₄₃×#2989	C₂	semidirect
8. C₄₃×#2984	C₂	semidirect
9. C₄₃×#2983	C₂	semidirect
10. C₄₃×#2981	C₂	semidirect
11. C₄₃×#2981	C₂	semidirect
12. C₄₃×#2980	C₂	semidirect
13. C₄₃×#2979	C₂	semidirect
14. C₄₃×#2970	C₂	semidirect
15. C₄₃×#2969	C₂	semidirect
16. C₄₃×#2968	C₂	semidirect
17. C₄₃×#2967	C₂	semidirect
18. C₄₃×#2966	C₂	semidirect
19. C₄₃×#2965	C₂	semidirect
20. C₄₃×#2925	C₂	semidirect
21. C₄₃×#2925	C₂	semidirect
22. C₄₃×#2923	C₂	semidirect
23. C₄₃×#2922	C₂	semidirect
517. #60302	C₄₃	direct (N × H)
554. #2995	C₂×C₄₃	semidirect
555. #2994	C₂×C₄₃	semidirect
556. #2993	C₂×C₄₃	semidirect
557. #2992	C₂×C₄₃	semidirect
558. #2990	C₂×C₄₃	semidirect
559. #2989	C₂×C₄₃	semidirect
560. #2984	C₂×C₄₃	semidirect
561. #2983	C₂×C₄₃	semidirect
562. #2981	C₂×C₄₃	semidirect
563. #2981	C₂×C₄₃	semidirect
564. #2980	C₂×C₄₃	semidirect
565. #2979	C₂×C₄₃	semidirect
566. #2970	C₂×C₄₃	semidirect
567. #2969	C₂×C₄₃	semidirect
568. #2968	C₂×C₄₃	semidirect
569. #2967	C₂×C₄₃	semidirect
570. #2966	C₂×C₄₃	semidirect
571. #2965	C₂×C₄₃	semidirect
572. #2925	C₂×C₄₃	semidirect
573. #2925	C₂×C₄₃	semidirect
574. #2923	C₂×C₄₃	semidirect
575. #2922	C₂×C₄₃	semidirect
695. C₄₃	#60302	direct (N × H)

Maximal subgroups

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

subgroup	index
C₄₃×#3480	2
C₄₃×#2995	2
C₄₃×#2994	2
C₄₃×#2993	2
C₄₃×#2992	2
C₄₃×#2990	2
C₄₃×#2989	2
C₄₃×#2984	2
C₄₃×#2983	2
C₄₃×#2981	2
C₄₃×#2980	2
C₄₃×#2979	2
C₄₃×#2970	2
C₄₃×#2969	2
C₄₃×#2968	2
C₄₃×#2967	2
C₄₃×#2966	2
C₄₃×#2965	2
C₄₃×#2925	2
C₄₃×#2923	2
C₄₃×#2922	2
#60302	43

Subgroups — C43×#60302 #24980319

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₄₃×#60302 #24980319