Subgroups — #25961525

Order 11008.

2130 conjugacy classes of subgroups.

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

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#19148081	C₂	1	1	yes	maximal, characteristic
2	#19143672	C₂	1	1	yes	maximal, characteristic, complemented
3	#19143662	C₂	1	1	yes	maximal, characteristic, complemented
4	#19143658	C₂	1	1	yes	maximal, characteristic, complemented
5	#19143654	C₂	1	2	yes	maximal, complemented
6	#19143653	C₂	1	2	yes	maximal, complemented
7	#19143644	C₂	1	2	yes	maximal, complemented
8	#19143638	C₂	1	2	yes	maximal, complemented
9	#19143635	C₂	1	1	yes	maximal, characteristic, complemented
10	#19143633	C₂	1	1	yes	maximal, characteristic, complemented
11	#19143632	C₂	1	1	yes	maximal, characteristic, complemented
12	#19143628	C₂	1	1	yes	maximal, characteristic, complemented
13	#19143334	C₂	1	1	yes	maximal, characteristic, complemented
14	D₄×#10621872	C₂	1	1	yes	maximal, characteristic, complemented
15	#19143321	C₂	1	2	yes	maximal, complemented
16	#19143304	C₂	1	1	yes	maximal, characteristic, complemented
17	#19143293	C₂	1	2	yes	maximal, complemented
18	#436×D₄₃	C₂	1	1	yes	maximal, characteristic, complemented
19	#19143262	C₂	1	1	yes	maximal, characteristic, complemented
20	#19143234	C₂	1	1	yes	maximal, characteristic, complemented
21	#19143043	C₂	1	2	yes	maximal, complemented
22	#19143037	C₂	1	2	yes	maximal, complemented
23	C₄₃×#2981	C₂	1	1	yes	maximal, characteristic, complemented
24	C₂×#41×D₄₃	C₂²	1	2	yes	—
25	C₂×#13063333	C₂²	1	2	yes	complemented
26	C₂×#13063331	C₂²	1	2	yes	complemented
27	C₂²×#10621872	C₂²	1	2	yes	complemented
28	C₂×M₁₆×D₄₃	C₂²	1	2	yes	complemented
29	#14583569	C₄	1	1	yes	characteristic
30	#14583564	C₄	1	1	yes	characteristic
31	#14583557	C₄	1	2	yes	—
32	#14583552	C₄	1	1	yes	characteristic
33	#14583549	C₄	1	1	yes	characteristic
34	#14583549	C₄	1	1	yes	characteristic
35	#14583542	C₄	1	2	yes	—
36	#14583538	C₄	1	2	yes	—
37	#14583538	C₄	1	2	yes	—
38	#14583534	C₄	1	1	yes	characteristic
39	#14583533	C₄	1	1	yes	characteristic
40	#14583533	C₄	1	1	yes	characteristic
41	#14583446	C₂²	1	1	yes	characteristic
42	#14583446	C₂²	1	1	yes	characteristic
43	#14583408	C₂²	1	2	yes	—
44	#14583408	C₂²	1	2	yes	—
45	#14583406	C₂²	1	2	yes	—
46	C₄×#10621898	C₂²	1	1	yes	characteristic
47	C₂×C₄×D₁₇₂	C₂²	1	1	yes	characteristic
48	C₄×D₄×D₄₃	C₂²	1	1	yes	characteristic
49	C₄×D₄×D₄₃	C₂²	1	1	yes	characteristic
50	#14582978	C₂²	1	1	yes	characteristic
51	#14582978	C₂²	1	1	yes	characteristic
52	#14582978	C₂²	1	1	yes	characteristic, complemented
53	#14582978	C₂²	1	1	yes	characteristic, complemented
54	#14582977	C₂²	1	1	yes	characteristic, complemented
55	#14582977	C₂²	1	2	yes	complemented
56	#14582977	C₂²	1	1	yes	characteristic, complemented
57	#14582976	C₂²	1	1	yes	characteristic
58	#14582976	C₂²	1	1	yes	characteristic
59	#14582976	C₂²	1	2	yes	complemented
60	#14582976	C₂²	1	2	yes	complemented
61	#14582975	C₂²	1	2	yes	complemented
62	#14582975	C₂²	1	2	yes	complemented
63	#14582975	C₂²	1	2	yes	complemented
64	#14582974	C₂²	1	2	yes	complemented
65	#14582974	C₂²	1	2	yes	complemented
66	#14582974	C₂²	1	2	yes	complemented
67	#14582973	C₂²	1	2	yes	complemented
68	#14582972	C₂²	1	2	yes	complemented
69	#14582972	C₂²	1	2	yes	complemented
70	#14582970	C₂²	1	2	yes	complemented
71	#14582970	C₂²	1	2	yes	complemented
72	#14582970	C₂²	1	2	yes	complemented
73	#14582968	C₂²	1	2	yes	complemented
74	#14582967	C₂²	1	2	yes	complemented
75	#14582967	C₂²	1	2	yes	complemented
76	#14582967	C₂²	1	2	yes	complemented
77	D₄×C₄₃⋊C₈	C₂²	1	1	yes	characteristic, complemented
78	D₄×C₄₃⋊C₈	C₂²	1	2	yes	complemented
79	D₄×C₄₃⋊C₈	C₂²	1	1	yes	characteristic, complemented
80	#14582964	C₂²	1	1	yes	characteristic, complemented
81	#14582964	C₂²	1	1	yes	characteristic, complemented
82	C₈×C₂²⋊D₄₃	C₂²	1	2	yes	complemented
83	(C₂²⋊D₄₃)⋊C₈	C₂²	1	2	yes	complemented
84	#14582961	C₂²	1	2	yes	complemented
85	#14582959	C₂²	1	1	yes	characteristic, complemented
86	#14582959	C₂²	1	1	yes	characteristic, complemented
87	#14582957	C₂²	1	1	yes	characteristic, complemented
88	#14582957	C₂²	1	1	yes	characteristic, complemented
89	#14582957	C₂²	1	2	yes	complemented
90	#14582955	C₂²	1	1	yes	characteristic, complemented
91	#14582952	C₂²	1	1	yes	characteristic, complemented
92	#14582952	C₂²	1	1	yes	characteristic, complemented
93	#14582951	C₂²	1	1	yes	characteristic, complemented
94	#14582950	C₂²	1	1	yes	characteristic, complemented
95	#14582950	C₂²	1	1	yes	characteristic, complemented
96	#14582924	C₂²	1	1	yes	characteristic, complemented
97	#14582924	C₂²	1	1	yes	characteristic, complemented
98	#14582921	C₂²	1	1	yes	characteristic, complemented
99	C₄⋊C₈×D₄₃	C₂²	1	1	yes	characteristic, complemented
100	#14582867	C₂²	1	2	yes	complemented
101	#14582866	C₂²	1	2	yes	complemented
102	#14582866	C₂²	1	2	yes	complemented
103	#14582865	C₂²	1	2	yes	complemented
104	#14582864	C₂²	1	1	yes	characteristic
105	#14582864	C₂²	1	1	yes	characteristic
106	#14582864	C₂²	1	2	yes	—
107	#14582864	C₂²	1	2	yes	complemented
108	#14582864	C₂²	1	2	yes	complemented
109	#14582864	C₂²	1	2	yes	complemented
110	#14582864	C₂²	1	2	yes	complemented
111	#14582862	C₂²	1	2	yes	complemented
112	#14582861	C₂²	1	2	yes	complemented
113	#14582861	C₂²	1	2	yes	complemented
114	#14582861	C₂²	1	2	yes	complemented
115	#14582861	C₂²	1	2	yes	complemented
116	#14582861	C₂²	1	2	yes	complemented
117	#14582861	C₂²	1	2	yes	complemented
118	C₂×(C₂×D₄₃)⋊C₈	C₂²	1	2	yes	complemented
119	C₂²⋊C₈×D₄₃	C₂²	1	2	yes	complemented
120	C₂²⋊C₈×D₄₃	C₂²	1	2	yes	complemented
121	#14582856	C₂²	1	2	yes	complemented
122	C₄×#10621872	C₂²	1	1	yes	characteristic, complemented
123	C₄×C₈×D₄₃	C₂²	1	1	yes	characteristic, complemented
124	C₄₃×#532	C₂²	1	1	yes	characteristic
125	C₄₃×#436	C₂²	1	1	yes	characteristic, complemented
126	C₄₃×#436	C₂²	1	1	yes	characteristic, complemented
127	C₄₃×#435	C₂²	1	2	yes	complemented
128	C₄₃×#435	C₂²	1	2	yes	complemented
129	C₈×D₄×C₄₃	C₂²	1	1	yes	characteristic, complemented
130	C₈×D₄×C₄₃	C₂²	1	1	yes	characteristic, complemented
131	C₄₃×#432	C₂²	1	1	yes	characteristic, complemented
132	C₄₃×#431	C₂²	1	1	yes	characteristic, complemented
133	C₄₃×#408	C₂²	1	2	yes	complemented
134	C₄₃×#408	C₂²	1	2	yes	complemented
135	C₂×#10621902	C₂×C₄	1	2	yes	—
136	C₂×#10621898	C₂³	1	1	yes	characteristic
137	C₂×#10621898	C₂³	1	2	yes	—
138	C₂×#10621898	C₂³	1	2	yes	—
139	C₂×#10621900	C₂×C₄	1	2	yes	—
140	C₂×#10621900	C₂×C₄	1	2	yes	—
141	C₂×#10621900	C₂×C₄	1	2	yes	—
142	#41×D₄₃	—	4	4	no	—
143	#41×D₄₃	—	4	4	no	—
144	C₂×Q₈×D₄₃	C₂×C₄	1	2	yes	—
145	C₂²×D₁₇₂	C₂×C₄	1	1	yes	characteristic
146	C₂×D₄×D₄₃	C₂×C₄	1	1	yes	characteristic
147	C₂×D₄×D₄₃	C₂×C₄	1	1	yes	characteristic
148	C₂×D₄×D₄₃	C₂×C₄	1	2	yes	—
149	C₂×D₄×D₄₃	C₂×C₄	1	2	yes	—
150	C₂×D₄×D₄₃	C₂×C₄	1	2	yes	—
151	C₂²×C₄×D₄₃	C₂³	1	2	yes	—
152	C₂²×C₄×D₄₃	C₂³	1	2	yes	—
153	C₂²×C₄×D₄₃	C₂³	1	2	yes	—
154	#13063333	—	4	4	no	—
155	#13063331	—	4	4	no	—
156	C₂×#10621877	C₂³	1	2	yes	—
157	C₂×#10621877	C₂³	1	2	yes	—
158	C₂×#10621872	—	4	4	no	—
159	C₂×#10621872	C₂³	1	1	yes	characteristic
160	C₂×#10621872	C₂³	1	1	yes	characteristic
161	C₂×#10621872	C₂³	1	2	yes	—
162	C₂×#10621872	C₂³	1	2	yes	—
163	C₂×#10621872	C₂³	1	2	yes	—
164	C₂×#10621872	C₂³	1	2	yes	—
165	C₂×#10621872	C₂³	1	2	yes	—
166	C₂×#10621872	C₂³	1	2	yes	—
167	C₂×#10621872	C₂³	1	2	yes	—
168	M₁₆×D₄₃	—	4	4	no	—
169	C₂²×C₄₃⋊C₈	C₂³	1	2	yes	—
170	C₂²×C₄₃⋊C₈	C₂³	1	2	yes	—
171	C₂×C₈×D₄₃	C₂³	1	1	yes	characteristic
172	C₂×C₈×D₄₃	C₂³	1	1	yes	characteristic
173	C₂×C₈×D₄₃	C₂³	1	2	yes	—
174	C₂×C₈×D₄₃	C₂³	1	2	yes	—
175	C₂×C₈×D₄₃	C₂³	1	2	yes	—
176	#13063324	C₂×C₄	1	1	yes	characteristic
177	#13063324	C₂×C₄	1	1	yes	characteristic
178	#13063321	C₂×C₄	1	1	yes	characteristic
179	#13063321	C₂×C₄	1	1	yes	characteristic
180	#13063311	C₂×C₄	1	2	yes	—
181	#13063311	C₂×C₄	1	2	yes	—
182	#13063310	C₂×C₄	1	2	yes	—
183	#13063310	C₂×C₄	1	2	yes	—
184	#13063307	C₂×C₄	1	2	yes	—
185	#13063307	C₂×C₄	1	2	yes	—
186	#13063306	C₂×C₄	1	2	yes	—
187	#13063306	C₂×C₄	1	2	yes	—
188	#13063303	C₂×C₄	1	2	yes	—
189	#13063303	C₂×C₄	1	2	yes	—
190	#13063302	C₂×C₄	1	2	yes	—
191	#13063302	C₂×C₄	1	2	yes	—
192	#13063301	C₂×C₄	1	2	yes	—
193	#13063301	C₂×C₄	1	2	yes	—
194	#13063300	C₂×C₄	1	1	yes	characteristic
195	#13063300	C₂×C₄	1	1	yes	characteristic
196	#13063298	C₂×C₄	1	2	yes	—
197	#13063298	C₂×C₄	1	2	yes	—
198	#13063298	C₂×C₄	1	2	yes	—
199	#13063298	C₂×C₄	1	2	yes	—
200	#13063297	C₂×C₄	1	2	yes	—
201	#13063297	C₂×C₄	1	2	yes	—
202	#13063296	C₂×C₄	1	2	yes	—
203	#13063296	C₂×C₄	1	2	yes	—
204	#13063296	C₂×C₄	1	1	yes	characteristic
205	#13063296	C₂×C₄	1	1	yes	characteristic
206	#13063295	C₂×C₄	1	2	yes	—
207	#13063295	C₂×C₄	1	2	yes	—
208	#13063293	C₂×C₄	1	2	yes	—
209	#13063293	C₂×C₄	1	2	yes	—
210	#13063293	C₂×C₄	1	2	yes	—
211	#13063293	C₂×C₄	1	2	yes	—
212	C₄×Dic₈₆	C₂×C₄	1	1	yes	characteristic
213	C₄×Dic₈₆	C₂×C₄	1	1	yes	characteristic
214	C₄×D₁₇₂	C₂×C₄	1	1	yes	characteristic
215	C₄×D₁₇₂	C₂×C₄	1	1	yes	characteristic
216	C₄×D₁₇₂	C₂×C₄	1	2	yes	—
217	C₄×D₁₇₂	C₂×C₄	1	1	yes	characteristic
218	C₄×D₁₇₂	C₂×C₄	1	1	yes	characteristic
219	C₄×D₁₇₂	C₂³	1	1	yes	characteristic
220	C₄×D₁₇₂	C₂³	1	2	yes	—
221	C₄×D₁₇₂	C₂³	1	1	yes	characteristic
222	D₄×Dic₄₃	C₂×C₄	1	1	yes	characteristic
223	D₄×Dic₄₃	C₂×C₄	1	1	yes	characteristic
224	#13063287	C₂×C₄	1	1	yes	characteristic
225	#13063287	C₂×C₄	1	1	yes	characteristic
226	C₄×C₂²⋊D₄₃	C₂×C₄	1	1	yes	characteristic
227	C₄×C₂²⋊D₄₃	C₂×C₄	1	1	yes	characteristic
228	C₄×C₂²⋊D₄₃	C₂×C₄	1	1	yes	characteristic
229	C₄×C₂²⋊D₄₃	C₂×C₄	1	1	yes	characteristic
230	C₄×C₂²⋊D₄₃	C₂³	1	2	yes	—
231	C₄×C₂²⋊D₄₃	C₂³	1	2	yes	—
232	C₄×C₂²⋊D₄₃	C₂³	1	2	yes	—
233	C₄×C₂²⋊D₄₃	C₂³	1	2	yes	—
234	(C₂²⋊D₄₃)⋊C₄	C₂×C₄	1	2	yes	—
235	(C₂²⋊D₄₃)⋊C₄	C₂×C₄	1	2	yes	—
236	#13063284	C₂³	1	1	yes	characteristic
237	#13063282	C₂³	1	1	yes	characteristic
238	#13063282	C₂³	1	1	yes	characteristic
239	C₂×C₄⋊Dic₄₃	C₂×C₄	1	1	yes	characteristic
240	C₄⋊C₄×D₄₃	C₂×C₄	1	1	yes	characteristic
241	C₄⋊C₄×D₄₃	C₂×C₄	1	1	yes	characteristic
242	C₂×(C₂×D₄₃)⋊C₄	C₂×C₄	1	2	yes	—
243	C₂²⋊C₄×D₄₃	C₂×C₄	1	2	yes	—
244	C₂²⋊C₄×D₄₃	C₂×C₄	1	2	yes	—
245	C₄²×D₄₃	C₂³	1	1	yes	characteristic
246	C₄²×D₄₃	C₂³	1	1	yes	characteristic
247	C₄⋊(C₄₃⋊C₈)	C₂³	1	1	yes	characteristic
248	C₄⋊(C₄₃⋊C₈)	C₂³	1	1	yes	characteristic
249	C₄⋊(C₄₃⋊C₈)	C₂³	1	1	yes	characteristic
250	C₄⋊(C₄₃⋊C₈)	C₂³	1	1	yes	characteristic
251	Dic₄₃⋊C₈	C₂³	1	2	yes	—
252	Dic₄₃⋊C₈	C₂³	1	2	yes	—
253	Dic₄₃⋊C₈	C₂³	1	1	yes	characteristic
254	Dic₄₃⋊C₈	C₂³	1	1	yes	characteristic
255	Dic₄₃⋊C₈	C₂³	1	1	yes	characteristic
256	Dic₄₃⋊C₈	C₂³	1	1	yes	characteristic
257	C₂²⋊(C₄₃⋊C₈)	C₂³	1	1	yes	characteristic
258	C₂²⋊(C₄₃⋊C₈)	C₂³	1	2	yes	—
259	C₂²⋊(C₄₃⋊C₈)	C₂³	1	1	yes	characteristic
260	C₂²⋊(C₄₃⋊C₈)	C₂³	1	2	yes	—
261	C₂²⋊(C₄₃⋊C₈)	C₂³	1	2	yes	—
262	C₂²⋊(C₄₃⋊C₈)	C₂³	1	2	yes	—
263	C₂²⋊(C₄₃⋊C₈)	C₂³	1	2	yes	—
264	(C₂×D₄₃)⋊C₈	C₂³	1	2	yes	—
265	(C₂×D₄₃)⋊C₈	C₂³	1	2	yes	—
266	(C₂×D₄₃)⋊C₈	C₂³	1	2	yes	—
267	(C₂×D₄₃)⋊C₈	C₂³	1	1	yes	characteristic
268	(C₂×D₄₃)⋊C₈	C₂³	1	2	yes	—
269	(C₂×D₄₃)⋊C₈	C₂³	1	2	yes	—
270	(C₂×D₄₃)⋊C₈	C₂³	1	1	yes	characteristic
271	(C₂×D₄₃)⋊C₈	C₂³	1	1	yes	characteristic
272	(C₂×D₄₃)⋊C₈	C₂³	1	2	yes	—
273	(C₂×D₄₃)⋊C₈	C₂³	1	2	yes	—
274	(C₂×D₄₃)⋊C₈	C₂³	1	2	yes	—
275	(C₂×D₄₃)⋊C₈	C₂³	1	2	yes	—
276	(C₂×D₄₃)⋊C₈	C₂³	1	2	yes	—
277	(C₂×D₄₃)⋊C₈	C₂³	1	1	yes	characteristic
278	#13063235	C₂³	1	1	yes	characteristic
279	#13063235	C₂³	1	1	yes	characteristic
280	#13063235	C₂³	1	2	yes	—
281	C₄×C₄₃⋊C₈	C₂³	1	1	yes	characteristic
282	C₄×C₄₃⋊C₈	C₂³	1	1	yes	characteristic
283	C₄×C₄₃⋊C₈	C₂³	1	2	yes	—
284	C₈×Dic₄₃	C₂³	1	1	yes	characteristic
285	C₈×Dic₄₃	C₂³	1	1	yes	characteristic
286	C₈×Dic₄₃	C₂³	1	2	yes	—
287	C₂×#41×C₄₃	C₂³	1	2	yes	—
288	C₂×M₁₆×C₄₃	C₂³	1	2	yes	—
289	C₂×M₁₆×C₄₃	C₂³	1	2	yes	—
290	C₂²×C₈×C₄₃	C₂³	1	2	yes	—
291	C₂²×C₈×C₄₃	C₂³	1	2	yes	—
292	C₄⋊Q₈×C₄₃	C₂×C₄	1	1	yes	characteristic
293	#127×C₄₃	C₂×C₄	1	1	yes	characteristic
294	#124×C₄₃	C₂×C₄	1	2	yes	—
295	#121×C₄₃	C₂×C₄	1	1	yes	characteristic
296	#121×C₄₃	C₂×C₄	1	1	yes	characteristic
297	#121×C₄₃	C₂×C₄	1	2	yes	—
298	C₄×D₄×C₄₃	C₂³	1	1	yes	characteristic
299	C₄×D₄×C₄₃	C₂³	1	1	yes	characteristic
300	C₄×D₄×C₄₃	C₂³	1	2	yes	—
301	C₂×C₄²×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	1	yes	characteristic
305	C₄⋊C₈×C₄₃	C₂³	1	1	yes	characteristic
306	C₂²⋊C₈×C₄₃	C₂³	1	2	yes	—
307	C₂²⋊C₈×C₄₃	C₂³	1	2	yes	—
308	C₂²⋊C₈×C₄₃	C₂³	1	1	yes	characteristic
309	C₂²⋊C₈×C₄₃	C₂³	1	1	yes	characteristic
310	C₂²⋊C₈×C₄₃	C₂³	1	2	yes	—
311	C₂²⋊C₈×C₄₃	C₂³	1	2	yes	—
312	C₂²⋊C₈×C₄₃	C₂³	1	2	yes	—
313	#97×C₄₃	C₂³	1	2	yes	—
314	C₄×C₈×C₄₃	C₂³	1	1	yes	characteristic
315	C₄×C₈×C₄₃	C₂³	1	1	yes	characteristic
316	C₂³×D₄₃	C₂²×C₄	1	2	yes	—
317	C₂³×D₄₃	C₂²×C₄	1	2	yes	—
318	C₂³×D₄₃	C₂²×C₄	1	2	yes	—
319	#41×C₄₃	—	4	2	no	—
320	#41×C₄₃	—	4	2	no	—
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	2	yes	—
325	C₂×D₄×C₄₃	C₂²×C₄	1	2	yes	—
326	C₂×D₄×C₄₃	C₂²×C₄	1	2	yes	—
327	C₂×D₄×C₄₃	C₂²×C₄	1	2	yes	—
328	C₂²×C₄×C₄₃	C₂²×C₄	1	1	yes	characteristic
329	C₂²×C₄×C₄₃	C₂²×C₄	1	1	yes	characteristic
330	C₂²×C₄×C₄₃	C₂⁴	1	1	yes	characteristic
331	C₂²×C₄×C₄₃	C₂⁴	1	2	yes	—
332	C₂²×C₄×C₄₃	C₂⁴	1	2	yes	—
333	C₂×C₂²⋊D₄₃	C₂²×C₄	1	1	yes	characteristic
334	C₂×C₂²⋊D₄₃	C₂²×C₄	1	1	yes	characteristic
335	C₂×C₂²⋊D₄₃	C₂²×C₄	1	2	yes	—
336	C₂×C₂²⋊D₄₃	C₂²×C₄	1	2	yes	—
337	C₂×C₂²⋊D₄₃	C₂²×C₄	1	2	yes	—
338	C₂×C₂²⋊D₄₃	C₂²×C₄	1	2	yes	—
339	C₂×C₂²⋊D₄₃	C₂²×C₄	1	2	yes	—
340	C₂×C₂²⋊D₄₃	C₂²×C₄	1	2	yes	—
341	C₂×C₂²⋊D₄₃	C₂²×C₄	1	2	yes	—
342	C₂×C₂²⋊D₄₃	C₂²×C₄	1	2	yes	—
343	C₂²×Dic₄₃	C₂²×C₄	1	2	yes	—
344	C₂²×Dic₄₃	C₂²×C₄	1	2	yes	—
345	C₂²×Dic₄₃	C₂²×C₄	1	2	yes	—
346	#10621902	—	4	4	no	—
347	Q₈×D₄₃	—	4	4	no	—
348	#10621900	—	4	4	no	—
349	#10621900	—	4	4	no	—
350	#10621900	—	4	4	no	—
351	D₄×D₄₃	—	4	4	no	—
352	D₄×D₄₃	—	4	4	no	—
353	D₄×D₄₃	—	4	2	no	—
354	D₄×D₄₃	—	4	2	no	—
355	D₄×D₄₃	—	4	4	no	—
356	#10621898	—	2	4	no	—
357	#10621898	—	2	4	no	—
358	#10621898	—	2	2	no	—
359	#10621898	—	2	2	no	—
360	#10621898	—	4	2	no	—
361	#10621898	—	4	2	no	—
362	C₂×D₁₇₂	—	4	2	no	—
363	C₂×D₁₇₂	C₂²×C₄	1	1	yes	characteristic
364	C₂×D₁₇₂	C₂²×C₄	1	1	yes	characteristic
365	C₂×D₁₇₂	C₂²×C₄	1	1	yes	characteristic
366	C₂×D₁₇₂	C₂²×C₄	1	2	yes	—
367	C₂×D₁₇₂	C₂²×C₄	1	2	yes	—
368	C₂×D₁₇₂	C₂²×C₄	1	2	yes	—
369	C₂×C₄×D₄₃	—	2	4	no	—
370	C₂×C₄×D₄₃	—	2	4	no	—
371	C₂×C₄×D₄₃	—	4	2	no	—
372	C₂×C₄×D₄₃	—	4	2	no	—
373	C₂×C₄×D₄₃	—	4	2	no	—
374	C₂×C₄×D₄₃	—	4	2	no	—
375	C₂×C₄×D₄₃	C₂²×C₄	1	1	yes	characteristic
376	C₂×C₄×D₄₃	C₂²×C₄	1	1	yes	characteristic
377	C₂×C₄×D₄₃	C₂²×C₄	1	2	yes	—
378	C₂×C₄×D₄₃	C₂²×C₄	1	2	yes	—
379	C₂×C₄×D₄₃	C₂²×C₄	1	1	yes	characteristic
380	C₂×C₄×D₄₃	C₂²×C₄	1	1	yes	characteristic
381	C₂×C₄×D₄₃	C₂²×C₄	1	2	yes	—
382	C₂×C₄×D₄₃	C₂²×C₄	1	2	yes	—
383	C₂×C₄×D₄₃	C₂²×C₄	1	2	yes	—
384	C₂×C₄×D₄₃	C₂²×C₄	1	2	yes	—
385	C₂×C₄×D₄₃	C₂⁴	1	1	yes	characteristic
386	C₂×C₄×D₄₃	C₂⁴	1	2	yes	—
387	C₂×C₄×D₄₃	C₂⁴	1	2	yes	—
388	C₂×C₄×D₄₃	C₂⁴	1	1	yes	characteristic
389	C₂×Dic₈₆	C₂²×C₄	1	1	yes	characteristic
390	C₂×Dic₈₆	C₂²×C₄	1	2	yes	—
391	C₂×Dic₈₆	C₂²×C₄	1	2	yes	—
392	M₁₆×C₄₃	—	4	2	no	—
393	M₁₆×C₄₃	—	4	2	no	—
394	C₂×C₈×C₄₃	—	4	2	no	—
395	C₂×C₈×C₄₃	—	4	2	no	—
396	C₂×C₈×C₄₃	C₂⁴	1	1	yes	characteristic
397	C₂×C₈×C₄₃	C₂⁴	1	1	yes	characteristic
398	C₂×C₈×C₄₃	C₂⁴	1	1	yes	characteristic
399	C₂×C₈×C₄₃	C₂⁴	1	1	yes	characteristic
400	C₂×C₈×C₄₃	C₂⁴	1	2	yes	—
401	C₂×C₈×C₄₃	C₂⁴	1	2	yes	—
402	C₄⋊C₄×C₄₃	C₂²×C₄	1	1	yes	characteristic
403	C₄⋊C₄×C₄₃	C₂²×C₄	1	1	yes	characteristic
404	C₄⋊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	2	yes	—
409	C₄²×C₄₃	C₂²×C₄	1	1	yes	characteristic
410	C₄²×C₄₃	C₂²×C₄	1	1	yes	characteristic
411	C₄²×C₄₃	C₂⁴	1	1	yes	characteristic
412	C₄²×C₄₃	C₂⁴	1	1	yes	characteristic
413	C₂²⋊Dic₄₃	C₂²×C₄	1	2	yes	—
414	C₂²⋊Dic₄₃	C₂²×C₄	1	2	yes	—
415	C₂²⋊Dic₄₃	C₂²×C₄	1	1	yes	characteristic
416	C₂²⋊Dic₄₃	C₂²×C₄	1	1	yes	characteristic
417	C₂²⋊Dic₄₃	C₂²×C₄	1	2	yes	—
418	C₂²⋊Dic₄₃	C₂²×C₄	1	2	yes	—
419	(C₂×D₄₃)⋊C₄	C₂²×C₄	1	2	yes	—
420	(C₂×D₄₃)⋊C₄	C₂²×C₄	1	2	yes	—
421	(C₂×D₄₃)⋊C₄	C₂²×C₄	1	2	yes	—
422	(C₂×D₄₃)⋊C₄	C₂²×C₄	1	2	yes	—
423	(C₂×D₄₃)⋊C₄	C₂²×C₄	1	2	yes	—
424	(C₂×D₄₃)⋊C₄	C₂²×C₄	1	2	yes	—
425	(C₂×D₄₃)⋊C₄	C₂²×C₄	1	1	yes	characteristic
426	(C₂×D₄₃)⋊C₄	C₂²×C₄	1	1	yes	characteristic
427	(C₂×D₄₃)⋊C₄	C₂²×C₄	1	1	yes	characteristic
428	(C₂×D₄₃)⋊C₄	C₂²×C₄	1	1	yes	characteristic
429	(C₂×D₄₃)⋊C₄	C₂²×C₄	1	2	yes	—
430	(C₂×D₄₃)⋊C₄	C₂²×C₄	1	2	yes	—
431	C₄⋊Dic₄₃	C₂²×C₄	1	1	yes	characteristic
432	C₄⋊Dic₄₃	C₂²×C₄	1	1	yes	characteristic
433	C₄⋊Dic₄₃	C₂²×C₄	1	2	yes	—
434	C₄⋊Dic₄₃	C₂²×C₄	1	1	yes	characteristic
435	C₄⋊Dic₄₃	C₂²×C₄	1	1	yes	characteristic
436	Dic₄₃⋊C₄	C₂²×C₄	1	2	yes	—
437	Dic₄₃⋊C₄	C₂²×C₄	1	2	yes	—
438	Dic₄₃⋊C₄	C₂²×C₄	1	1	yes	characteristic
439	Dic₄₃⋊C₄	C₂²×C₄	1	1	yes	characteristic
440	Dic₄₃⋊C₄	C₂²×C₄	1	1	yes	characteristic
441	Dic₄₃⋊C₄	C₂²×C₄	1	1	yes	characteristic
442	Dic₄₃⋊C₄	C₂²×C₄	1	2	yes	—
443	Dic₄₃⋊C₄	C₂²×C₄	1	2	yes	—
444	C₄×Dic₄₃	C₂²×C₄	1	1	yes	characteristic
445	C₄×Dic₄₃	C₂²×C₄	1	1	yes	characteristic
446	C₄×Dic₄₃	C₂²×C₄	1	1	yes	characteristic
447	C₄×Dic₄₃	C₂²×C₄	1	1	yes	characteristic
448	C₄×Dic₄₃	C₂⁴	1	1	yes	characteristic
449	C₄×Dic₄₃	C₂⁴	1	1	yes	characteristic
450	#10621877	—	4	2	no	—
451	#10621877	—	4	2	no	—
452	C₂×C₄₃⋊C₈	—	4	2	no	—
453	C₂×C₄₃⋊C₈	—	4	2	no	—
454	C₂×C₄₃⋊C₈	C₂⁴	1	1	yes	characteristic
455	C₂×C₄₃⋊C₈	C₂⁴	1	1	yes	characteristic
456	C₂×C₄₃⋊C₈	C₂⁴	1	2	yes	—
457	C₂×C₄₃⋊C₈	C₂⁴	1	1	yes	characteristic
458	C₂×C₄₃⋊C₈	C₂⁴	1	1	yes	characteristic
459	C₂×C₄₃⋊C₈	C₂⁴	1	2	yes	—
460	#10621872	—	2	2	no	—
461	#10621872	—	2	4	no	—
462	#10621872	—	2	2	no	—
463	#10621872	—	4	2	no	—
464	#10621872	—	4	2	no	—
465	#10621872	—	4	2	no	—
466	#10621872	—	4	2	no	—
467	#10621872	—	4	2	no	—
468	#10621872	—	4	2	no	—
469	C₈×D₄₃	—	2	2	no	—
470	C₈×D₄₃	—	2	4	no	—
471	C₈×D₄₃	—	2	2	no	—
472	C₈×D₄₃	—	4	2	no	—
473	C₈×D₄₃	—	4	2	no	—
474	C₂³×C₄₃	C₂³×C₄	1	2	yes	—
475	C₂³×C₄₃	C₂³×C₄	1	2	yes	—
476	C₂³×C₄₃	C₂³×C₄	1	1	yes	characteristic
477	C₂²×D₄₃	—	2	4	no	—
478	C₂²×D₄₃	—	4	2	no	—
479	C₂²×D₄₃	—	4	2	no	—
480	C₂²×D₄₃	—	4	2	no	—
481	C₂²×D₄₃	—	4	2	no	—
482	C₂²×D₄₃	—	4	2	no	—
483	C₂²×D₄₃	—	4	2	no	—
484	C₂²×D₄₃	—	4	2	no	—
485	C₂²×D₄₃	—	4	2	no	—
486	C₂²×D₄₃	C₂³×C₄	1	2	yes	—
487	C₂²×D₄₃	C₂³×C₄	1	2	yes	—
488	C₂²×D₄₃	C₂³×C₄	1	1	yes	characteristic
489	C₂²×D₄₃	C₂³×C₄	1	1	yes	characteristic
490	Q₈×C₄₃	—	4	2	no	—
491	D₄×C₄₃	—	2	2	no	—
492	D₄×C₄₃	—	2	2	no	—
493	D₄×C₄₃	—	4	2	no	—
494	D₄×C₄₃	—	4	2	no	—
495	D₄×C₄₃	—	4	2	no	—
496	D₄×C₄₃	—	4	2	no	—
497	C₂×C₄×C₄₃	—	2	2	no	—
498	C₂×C₄×C₄₃	—	2	2	no	—
499	C₂×C₄×C₄₃	—	2	2	no	—
500	C₂×C₄×C₄₃	—	2	2	no	—
501	C₂×C₄×C₄₃	—	2	2	no	—
502	C₂×C₄×C₄₃	—	2	1	no	—
503	C₂×C₄×C₄₃	—	2	1	no	—
504	C₂×C₄×C₄₃	—	4	1	no	—
505	C₂×C₄×C₄₃	C₂³×C₄	1	1	yes	characteristic
506	C₂×C₄×C₄₃	C₂³×C₄	1	1	yes	characteristic
507	C₂×C₄×C₄₃	C₂³×C₄	1	1	yes	characteristic
508	C₂×C₄×C₄₃	C₂³×C₄	1	2	yes	—
509	C₂×C₄×C₄₃	C₂³×C₄	1	2	yes	—
510	C₂×C₄×C₄₃	C₂³×C₄	1	1	yes	characteristic
511	C₂×C₄×C₄₃	C₂³×C₄	1	1	yes	characteristic
512	C₂×C₄×C₄₃	C₂⁵	1	1	yes	characteristic
513	C₂²⋊D₄₃	—	2	2	no	—
514	C₂²⋊D₄₃	—	2	4	no	—
515	C₂²⋊D₄₃	—	2	2	no	—
516	C₂²⋊D₄₃	—	2	4	no	—
517	C₂²⋊D₄₃	—	4	2	no	—
518	C₂²⋊D₄₃	—	4	2	no	—
519	C₂²⋊D₄₃	—	4	2	no	—
520	C₂²⋊D₄₃	—	4	2	no	—
521	C₂²⋊D₄₃	—	4	2	no	—
522	C₂²⋊D₄₃	—	4	2	no	—
523	C₂×Dic₄₃	—	2	4	no	—
524	C₂×Dic₄₃	—	4	2	no	—
525	C₂×Dic₄₃	—	4	2	no	—
526	C₂×Dic₄₃	C₂³×C₄	1	1	yes	characteristic
527	C₂×Dic₄₃	C₂³×C₄	1	1	yes	characteristic
528	C₂×Dic₄₃	C₂³×C₄	1	1	yes	characteristic
529	C₂×Dic₄₃	C₂³×C₄	1	1	yes	characteristic
530	C₂×Dic₄₃	C₂³×C₄	1	1	yes	characteristic
531	C₂×Dic₄₃	C₂³×C₄	1	2	yes	—
532	C₂×Dic₄₃	C₂³×C₄	1	2	yes	—
533	C₂×Dic₄₃	C₂³×C₄	1	1	yes	characteristic
534	D₁₇₂	—	2	2	no	—
535	D₁₇₂	—	2	4	no	—
536	D₁₇₂	—	2	2	no	—
537	D₁₇₂	—	2	2	no	—
538	D₁₇₂	—	4	2	no	—
539	D₁₇₂	—	4	2	no	—
540	C₄×D₄₃	—	2	4	no	—
541	C₄×D₄₃	—	2	2	no	—
542	C₄×D₄₃	—	2	2	no	—
543	C₄×D₄₃	—	2	2	no	—
544	C₄×D₄₃	—	2	2	no	—
545	C₄×D₄₃	—	2	2	no	—
546	C₄×D₄₃	—	2	2	no	—
547	C₄×D₄₃	—	2	1	no	—
548	C₄×D₄₃	—	2	1	no	—
549	C₄×D₄₃	—	2	4	no	—
550	C₄×D₄₃	—	4	2	no	—
551	C₄×D₄₃	—	4	2	no	—
552	C₄×D₄₃	—	4	2	no	—
553	C₄×D₄₃	—	4	2	no	—
554	C₄×D₄₃	—	4	1	no	—
555	C₄×D₄₃	—	4	1	no	—
556	C₄×D₄₃	H(5,𝔽₂)	1	2	yes	—
557	C₄×D₄₃	H(5,𝔽₂)	1	2	yes	—
558	Dic₈₆	—	2	2	no	—
559	Dic₈₆	—	2	4	no	—
560	Dic₈₆	—	4	2	no	—
561	C₈×C₄₃	—	2	2	no	—
562	C₈×C₄₃	—	2	1	no	—
563	C₈×C₄₃	—	2	1	no	—
564	C₈×C₄₃	—	2	2	no	—
565	C₈×C₄₃	—	2	1	no	—
566	C₈×C₄₃	—	2	1	no	—
567	C₄₃⋊C₈	—	2	1	no	—
568	C₄₃⋊C₈	—	2	1	no	—
569	C₄₃⋊C₈	—	2	2	no	—
570	C₄₃⋊C₈	—	2	1	no	—
571	C₄₃⋊C₈	—	2	1	no	—
572	C₄₃⋊C₈	—	2	2	no	—
573	#60241	—	43	1	no	maximal, Sylow
574	C₂²×C₄₃	—	2	2	no	—
575	C₂²×C₄₃	—	2	1	no	—
576	C₂²×C₄₃	—	2	2	no	—
577	C₂²×C₄₃	—	2	1	no	—
578	C₂²×C₄₃	—	2	2	no	—
579	C₂²×C₄₃	—	2	2	no	—
580	C₂²×C₄₃	—	2	1	no	—
581	C₂²×C₄₃	—	2	2	no	—
582	C₂²×C₄₃	—	2	2	no	—
583	C₂²×C₄₃	C₂⁴×C₄	1	1	yes	characteristic
584	C₂×D₄₃	—	2	1	no	—
585	C₂×D₄₃	—	2	1	no	—
586	C₂×D₄₃	—	2	2	no	—
587	C₂×D₄₃	—	2	1	no	—
588	C₂×D₄₃	—	2	2	no	—
589	C₂×D₄₃	—	2	2	no	—
590	C₂×D₄₃	—	2	1	no	—
591	C₂×D₄₃	—	2	2	no	—
592	C₂×D₄₃	—	2	2	no	—
593	C₂×D₄₃	—	2	1	no	—
594	C₂×D₄₃	—	2	2	no	—
595	C₂×D₄₃	—	8	4	no	—
596	C₂×D₄₃	—	8	4	no	—
597	C₂×D₄₃	—	8	4	no	—
598	C₂×D₄₃	#518	1	2	yes	—
599	C₄×C₄₃	—	2	1	no	—
600	C₄×C₄₃	—	2	2	no	—
601	C₄×C₄₃	—	2	2	no	—
602	C₄×C₄₃	—	2	1	no	—
603	C₄×C₄₃	—	2	1	no	—
604	C₄×C₄₃	—	2	1	no	—
605	C₄×C₄₃	#568	1	2	yes	—
606	C₄×C₄₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
607	C₄×C₄₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
608	Dic₄₃	—	2	1	no	—
609	Dic₄₃	—	2	2	no	—
610	Dic₄₃	—	2	2	no	—
611	Dic₄₃	—	2	1	no	—
612	Dic₄₃	—	2	1	no	—
613	Dic₄₃	—	2	1	no	—
614	Dic₄₃	—	2	1	no	—
615	Dic₄₃	#518	1	2	yes	—
616	D₄×#41	—	43	1	no	—
617	#2981	—	43	1	no	—
618	#2981	D₄₃	1	1	yes	characteristic, complemented
619	#2979	—	43	1	no	—
620	#2979	—	43	1	no	—
621	#2978	—	43	2	no	—
622	#2978	—	43	2	no	—
623	#2976	—	43	2	no	—
624	#2976	—	43	2	no	—
625	#2975	—	43	1	no	—
626	#2975	—	43	1	no	—
627	#2974	—	43	1	no	—
628	#2974	—	43	1	no	—
629	#2935	—	43	1	no	—
630	D₄×M₁₆	—	43	1	no	—
631	#2933	—	43	2	no	—
632	#2931	—	43	1	no	—
633	#2930	—	43	2	no	—
634	C₂×#436	—	43	1	no	—
635	#2925	—	43	1	no	—
636	#2922	—	43	1	no	—
637	#2880	—	43	2	no	—
638	#2879	—	43	2	no	—
639	C₂×C₄₃	—	4	1	no	—
640	C₂×C₄₃	—	4	2	no	—
641	C₂×C₄₃	—	4	2	no	—
642	C₂×C₄₃	C₂×#518	1	1	yes	characteristic
643	C₂×C₄₃	C₂×#568	1	1	yes	characteristic
644	C₂×C₄₃	#3573	1	1	yes	characteristic
645	D₄₃	—	2	2	no	—
646	D₄₃	—	4	2	no	—
647	D₄₃	—	4	1	no	—
648	D₄₃	—	4	2	no	—
649	C₂²×#41	—	43	2	no	—
650	C₂×#131	—	43	2	no	—
651	C₂×#131	—	43	2	no	—
652	C₂²×M₁₆	—	43	2	no	—
653	C₂²×M₁₆	—	43	2	no	—
654	#550	—	43	1	no	—
655	D₄×Q₈	—	43	1	no	—
656	#548	—	43	2	no	—
657	#547	—	43	1	no	—
658	#547	—	43	1	no	—
659	#547	—	43	1	no	—
660	#546	—	43	2	no	—
661	#546	—	43	2	no	—
662	#546	—	43	2	no	—
663	D₄²	—	43	1	no	—
664	D₄²	—	43	1	no	—
665	D₄²	—	43	1	no	—
666	#532	—	43	1	no	—
667	#532	—	43	1	no	—
668	#532	C₂×D₄₃	1	1	yes	characteristic
669	#525	—	43	2	no	—
670	#525	—	43	2	no	—
671	#525	—	43	2	no	—
672	C₄×#41	—	43	1	no	—
673	C₂×C₄×D₄	—	43	1	no	—
674	C₂×C₄×D₄	—	43	1	no	—
675	C₂×C₄×D₄	—	43	1	no	—
676	#436	—	43	2	no	—
677	#436	—	43	2	no	—
678	#436	—	43	2	no	—
679	#436	—	43	1	no	—
680	#436	—	43	2	no	—
681	#436	—	43	1	no	—
682	#436	—	43	1	no	—
683	#436	—	43	2	no	—
684	#436	—	43	2	no	—
685	#436	—	43	1	no	—
686	#436	—	43	2	no	—
687	#436	—	43	2	no	—
688	#436	—	43	2	no	—
689	#436	—	43	1	no	—
690	#436	—	43	1	no	—
691	#436	—	43	1	no	—
692	#436	—	43	1	no	—
693	#436	C₂×D₄₃	1	1	yes	characteristic, complemented
694	#436	C₂×D₄₃	1	1	yes	characteristic, complemented
695	#435	—	43	2	no	—
696	#435	—	43	2	no	—
697	#435	—	43	2	no	—
698	#435	—	43	2	no	—
699	#435	—	43	2	no	—
700	#435	—	43	2	no	—
701	#435	—	43	2	no	—
702	#435	—	43	2	no	—
703	#435	—	43	2	no	—
704	#435	—	43	2	no	—
705	#435	C₂×D₄₃	1	2	yes	complemented
706	#435	C₂×D₄₃	1	2	yes	complemented
707	C₈×D₄	—	43	2	no	—
708	C₈×D₄	—	43	1	no	—
709	C₈×D₄	—	43	2	no	—
710	C₈×D₄	—	43	1	no	—
711	C₈×D₄	—	43	1	no	—
712	C₈×D₄	—	43	1	no	—
713	C₈×D₄	—	43	2	no	—
714	C₈×D₄	C₂×D₄₃	1	1	yes	characteristic, complemented
715	C₈×D₄	C₂×D₄₃	1	1	yes	characteristic, complemented
716	#433	—	43	1	no	—
717	#433	—	43	1	no	—
718	#433	—	43	1	no	—
719	#433	—	43	1	no	—
720	#433	—	43	2	no	—
721	#433	—	43	2	no	—
722	#432	—	43	1	no	—
723	#432	C₂×D₄₃	1	1	yes	characteristic, complemented
724	#431	—	43	1	no	—
725	#431	—	43	1	no	—
726	#431	—	43	1	no	—
727	#431	—	43	1	no	—
728	#431	—	43	1	no	—
729	#431	C₂×D₄₃	1	1	yes	characteristic, complemented
730	#424	—	43	1	no	—
731	#424	—	43	1	no	—
732	#423	—	43	1	no	—
733	C₂×C₄⋊C₈	—	43	1	no	—
734	#408	—	43	2	no	—
735	#408	—	43	2	no	—
736	#408	—	43	2	no	—
737	#408	—	43	2	no	—
738	#408	—	43	1	no	—
739	#408	—	43	2	no	—
740	#408	—	43	2	no	—
741	#408	—	43	2	no	—
742	#408	—	43	1	no	—
743	#408	—	43	2	no	—
744	#408	—	43	2	no	—
745	#408	C₂×D₄₃	1	2	yes	complemented
746	#408	C₂×D₄₃	1	2	yes	complemented
747	#407	—	43	2	no	—
748	#407	—	43	2	no	—
749	#407	—	43	2	no	—
750	#407	—	43	2	no	—
751	#407	—	43	2	no	—
752	#407	—	43	2	no	—
753	#407	—	43	2	no	—
754	C₂×C₂²⋊C₈	—	43	2	no	—
755	C₂×C₂²⋊C₈	—	43	2	no	—
756	C₂×C₂²⋊C₈	—	43	2	no	—
757	#405	—	43	2	no	—
758	C₄×M₁₆	—	43	1	no	—
759	C₂×C₄×C₈	—	43	1	no	—
760	C₄₃	#60241	1	1	yes	characteristic, complemented, Sylow
761	C₂×#41	—	43	2	no	—
762	C₂×#41	—	43	2	no	—
763	C₂×#41	—	43	2	no	—
764	C₂×#41	—	43	2	no	—
765	C₂×#41	—	43	1	no	—
766	C₂×#41	—	43	2	no	—
767	C₂×#41	—	43	2	no	—
768	C₂×#41	—	172	4	no	—
769	C₂×#41	—	172	4	no	—
770	C₂×#41	C₂²×D₄₃	1	2	yes	—
771	C₂²×Q₈	—	43	2	no	—
772	C₂²×D₄	—	43	1	no	—
773	C₂²×D₄	—	43	1	no	—
774	C₂²×D₄	—	43	2	no	—
775	C₂²×D₄	—	43	2	no	—
776	C₂²×D₄	—	43	2	no	—
777	C₂²×D₄	—	43	1	no	—
778	C₂³×C₄	—	43	2	no	—
779	C₂³×C₄	—	43	2	no	—
780	C₂³×C₄	—	43	2	no	—
781	#131	—	172	4	no	—
782	#131	—	172	4	no	—
783	C₂×M₁₆	—	43	2	no	—
784	C₂×M₁₆	—	43	2	no	—
785	C₂×M₁₆	—	43	1	no	—
786	C₂×M₁₆	—	43	2	no	—
787	C₂×M₁₆	—	43	1	no	—
788	C₂×M₁₆	—	43	2	no	—
789	C₂×M₁₆	—	43	2	no	—
790	C₂×M₁₆	—	43	2	no	—
791	C₂×M₁₆	—	43	2	no	—
792	C₂×M₁₆	—	43	2	no	—
793	C₂×M₁₆	—	43	2	no	—
794	C₂×M₁₆	—	172	4	no	—
795	C₂×M₁₆	—	172	4	no	—
796	C₂×M₁₆	C₂²×D₄₃	1	2	yes	—
797	C₂×M₁₆	C₂²×D₄₃	1	2	yes	—
798	C₂²×C₈	—	43	2	no	—
799	C₂²×C₈	—	43	2	no	—
800	C₂²×C₈	—	43	1	no	—
801	C₂²×C₈	—	43	2	no	—
802	C₂²×C₈	—	43	1	no	—
803	C₂²×C₈	—	43	2	no	—
804	C₂²×C₈	—	43	2	no	—
805	C₂²×C₈	C₂²×D₄₃	1	2	yes	—
806	C₂²×C₈	C₂²×D₄₃	1	2	yes	—
807	C₄⋊Q₈	—	43	1	no	—
808	C₄⋊Q₈	—	43	1	no	—
809	C₄⋊Q₈	C₄×D₄₃	1	1	yes	characteristic
810	#127	—	43	1	no	—
811	#127	—	43	1	no	—
812	#127	C₄×D₄₃	1	1	yes	characteristic
813	#124	—	43	2	no	—
814	#124	—	43	2	no	—
815	#124	C₄×D₄₃	1	2	yes	—
816	#123	—	43	2	no	—
817	#123	—	43	2	no	—
818	#123	—	43	2	no	—
819	#123	—	43	2	no	—
820	#123	—	43	2	no	—
821	#123	—	43	2	no	—
822	C₂²⋊Q₈	—	43	2	no	—
823	C₂²⋊Q₈	—	43	2	no	—
824	C₂²⋊Q₈	—	43	2	no	—
825	C₂²⋊Q₈	—	43	2	no	—
826	C₂²⋊Q₈	—	43	2	no	—
827	C₂²⋊Q₈	—	43	2	no	—
828	#121	—	43	2	no	—
829	#121	—	43	2	no	—
830	#121	—	43	2	no	—
831	#121	—	43	2	no	—
832	#121	—	43	1	no	—
833	#121	—	43	1	no	—
834	#121	—	43	1	no	—
835	#121	—	43	1	no	—
836	#121	—	43	2	no	—
837	#121	—	43	2	no	—
838	#121	—	43	2	no	—
839	#121	—	43	2	no	—
840	#121	C₄×D₄₃	1	1	yes	characteristic
841	#121	C₄×D₄₃	1	1	yes	characteristic
842	#121	C₄×D₄₃	1	2	yes	—
843	#120	—	43	2	no	—
844	#120	—	43	2	no	—
845	#120	—	43	2	no	—
846	#120	—	43	2	no	—
847	#120	—	43	2	no	—
848	#120	—	43	2	no	—
849	C₄×Q₈	—	43	1	no	—
850	C₄×Q₈	—	43	1	no	—
851	C₄×D₄	—	43	1	no	—
852	C₄×D₄	—	43	1	no	—
853	C₄×D₄	—	43	1	no	—
854	C₄×D₄	—	43	1	no	—
855	C₄×D₄	—	43	1	no	—
856	C₄×D₄	—	43	1	no	—
857	C₄×D₄	—	43	2	no	—
858	C₄×D₄	—	43	2	no	—
859	C₄×D₄	—	43	2	no	—
860	C₄×D₄	—	43	2	no	—
861	C₄×D₄	—	43	1	no	—
862	C₄×D₄	—	43	1	no	—
863	C₄×D₄	—	43	2	no	—
864	C₄×D₄	—	43	2	no	—
865	C₄×D₄	—	43	1	no	—
866	C₄×D₄	—	43	2	no	—
867	C₄×D₄	—	43	1	no	—
868	C₄×D₄	—	43	1	no	—
869	C₄×D₄	—	43	1	no	—
870	C₄×D₄	—	43	1	no	—
871	C₄×D₄	—	43	2	no	—
872	C₄×D₄	—	43	1	no	—
873	C₄×D₄	C₂²×D₄₃	1	1	yes	characteristic
874	C₄×D₄	C₂²×D₄₃	1	1	yes	characteristic
875	C₄×D₄	C₂²×D₄₃	1	2	yes	—
876	#117	—	43	1	no	—
877	#117	—	43	1	no	—
878	#117	—	43	1	no	—
879	C₂×C₄⋊C₄	—	43	1	no	—
880	C₂×C₄⋊C₄	—	43	1	no	—
881	C₂×C₄⋊C₄	—	43	1	no	—
882	C₂×C₂²⋊C₄	—	43	2	no	—
883	C₂×C₂²⋊C₄	—	43	2	no	—
884	C₂×C₂²⋊C₄	—	43	2	no	—
885	C₂×C₄²	—	43	1	no	—
886	C₂×C₄²	—	43	1	no	—
887	C₂×C₄²	C₂²×D₄₃	1	1	yes	characteristic
888	C₄⋊C₈	—	43	2	no	—
889	C₄⋊C₈	—	43	2	no	—
890	C₄⋊C₈	—	43	1	no	—
891	C₄⋊C₈	—	43	1	no	—
892	C₄⋊C₈	—	43	1	no	—
893	C₄⋊C₈	—	43	1	no	—
894	C₄⋊C₈	—	43	1	no	—
895	C₄⋊C₈	—	43	1	no	—
896	C₄⋊C₈	—	43	1	no	—
897	C₄⋊C₈	—	43	1	no	—
898	C₄⋊C₈	C₂²×D₄₃	1	1	yes	characteristic
899	C₄⋊C₈	C₂²×D₄₃	1	1	yes	characteristic
900	C₄⋊C₈	C₂²×D₄₃	1	1	yes	characteristic
901	C₄⋊C₈	C₂²×D₄₃	1	1	yes	characteristic
902	C₂²⋊C₈	—	43	1	no	—
903	C₂²⋊C₈	—	43	2	no	—
904	C₂²⋊C₈	—	43	1	no	—
905	C₂²⋊C₈	—	43	2	no	—
906	C₂²⋊C₈	—	43	2	no	—
907	C₂²⋊C₈	—	43	2	no	—
908	C₂²⋊C₈	—	43	2	no	—
909	C₂²⋊C₈	—	43	2	no	—
910	C₂²⋊C₈	—	43	1	no	—
911	C₂²⋊C₈	—	43	2	no	—
912	C₂²⋊C₈	—	43	2	no	—
913	C₂²⋊C₈	—	43	2	no	—
914	C₂²⋊C₈	—	43	2	no	—
915	C₂²⋊C₈	—	43	2	no	—
916	C₂²⋊C₈	—	43	1	no	—
917	C₂²⋊C₈	—	43	1	no	—
918	C₂²⋊C₈	—	43	1	no	—
919	C₂²⋊C₈	—	43	2	no	—
920	C₂²⋊C₈	—	43	2	no	—
921	C₂²⋊C₈	—	43	2	no	—
922	C₂²⋊C₈	—	43	2	no	—
923	C₂²⋊C₈	C₂²×D₄₃	1	2	yes	—
924	C₂²⋊C₈	C₂²×D₄₃	1	2	yes	—
925	C₂²⋊C₈	C₂²×D₄₃	1	1	yes	characteristic
926	C₂²⋊C₈	C₂²×D₄₃	1	1	yes	characteristic
927	C₂²⋊C₈	C₂²×D₄₃	1	2	yes	—
928	C₂²⋊C₈	C₂²×D₄₃	1	2	yes	—
929	C₂²⋊C₈	C₂²×D₄₃	1	2	yes	—
930	#97	—	43	1	no	—
931	#97	—	43	1	no	—
932	#97	—	43	2	no	—
933	#97	C₂²×D₄₃	1	2	yes	—
934	C₄×C₈	—	43	1	no	—
935	C₄×C₈	—	43	1	no	—
936	C₄×C₈	—	43	2	no	—
937	C₄×C₈	—	43	1	no	—
938	C₄×C₈	—	43	1	no	—
939	C₄×C₈	—	43	2	no	—
940	C₄×C₈	C₂²×D₄₃	1	1	yes	characteristic
941	C₄×C₈	C₂²×D₄₃	1	1	yes	characteristic
942	C₂⁴	—	43	2	no	—
943	C₂⁴	—	43	2	no	—
944	C₂⁴	—	43	2	no	—
945	#41	—	4	2	no	—
946	#41	—	4	2	no	—
947	#41	—	86	4	no	—
948	#41	—	86	4	no	—
949	#41	—	86	2	no	—
950	#41	—	86	2	no	—
951	#41	—	172	2	no	—
952	#41	—	172	2	no	—
953	#41	—	172	4	no	—
954	#41	—	172	4	no	—
955	#41	—	172	4	no	—
956	#41	—	172	4	no	—
957	C₂×Q₈	—	43	1	no	—
958	C₂×Q₈	—	43	2	no	—
959	C₂×Q₈	—	43	2	no	—
960	C₂×Q₈	—	172	4	no	—
961	C₂×Q₈	C₂×C₄×D₄₃	1	2	yes	—
962	C₂×D₄	—	43	1	no	—
963	C₂×D₄	—	43	1	no	—
964	C₂×D₄	—	43	2	no	—
965	C₂×D₄	—	43	2	no	—
966	C₂×D₄	—	43	2	no	—
967	C₂×D₄	—	43	2	no	—
968	C₂×D₄	—	43	2	no	—
969	C₂×D₄	—	43	2	no	—
970	C₂×D₄	—	43	2	no	—
971	C₂×D₄	—	43	2	no	—
972	C₂×D₄	—	43	1	no	—
973	C₂×D₄	—	43	1	no	—
974	C₂×D₄	—	43	1	no	—
975	C₂×D₄	—	43	2	no	—
976	C₂×D₄	—	43	2	no	—
977	C₂×D₄	—	43	2	no	—
978	C₂×D₄	—	172	2	no	—
979	C₂×D₄	—	172	2	no	—
980	C₂×D₄	—	172	2	no	—
981	C₂×D₄	—	172	4	no	—
982	C₂×D₄	—	172	4	no	—
983	C₂×D₄	—	172	4	no	—
984	C₂×D₄	C₂×C₄×D₄₃	1	1	yes	characteristic
985	C₂×D₄	C₂×C₄×D₄₃	1	1	yes	characteristic
986	C₂×D₄	C₂×C₄×D₄₃	1	2	yes	—
987	C₂×D₄	C₂×C₄×D₄₃	1	2	yes	—
988	C₂×D₄	C₂×C₄×D₄₃	1	2	yes	—
989	C₂×D₄	C₂×C₄×D₄₃	1	2	yes	—
990	C₂²×C₄	—	43	1	no	—
991	C₂²×C₄	—	43	2	no	—
992	C₂²×C₄	—	43	2	no	—
993	C₂²×C₄	—	43	2	no	—
994	C₂²×C₄	—	43	1	no	—
995	C₂²×C₄	—	43	1	no	—
996	C₂²×C₄	—	43	2	no	—
997	C₂²×C₄	—	43	2	no	—
998	C₂²×C₄	—	43	1	no	—
999	C₂²×C₄	—	43	2	no	—
1000	C₂²×C₄	—	43	2	no	—
1001	C₂²×C₄	—	43	1	no	—
1002	C₂²×C₄	—	43	1	no	—
1003	C₂²×C₄	—	43	2	no	—
1004	C₂²×C₄	—	43	2	no	—
1005	C₂²×C₄	—	43	2	no	—
1006	C₂²×C₄	—	43	2	no	—
1007	C₂²×C₄	—	86	4	no	—
1008	C₂²×C₄	—	86	4	no	—
1009	C₂²×C₄	—	172	2	no	—
1010	C₂²×C₄	—	172	2	no	—
1011	C₂²×C₄	—	172	2	no	—
1012	C₂²×C₄	—	172	2	no	—
1013	C₂²×C₄	C₂×C₄×D₄₃	1	1	yes	characteristic
1014	C₂²×C₄	C₂×C₄×D₄₃	1	1	yes	characteristic
1015	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
1016	C₂²×C₄	C₂³×D₄₃	1	2	yes	—
1017	C₂²×C₄	C₂³×D₄₃	1	2	yes	—
1018	M₁₆	—	4	2	no	—
1019	M₁₆	—	4	2	no	—
1020	M₁₆	—	86	2	no	—
1021	M₁₆	—	86	4	no	—
1022	M₁₆	—	86	2	no	—
1023	M₁₆	—	172	2	no	—
1024	M₁₆	—	172	2	no	—
1025	M₁₆	—	172	2	no	—
1026	M₁₆	—	172	2	no	—
1027	M₁₆	—	172	2	no	—
1028	M₁₆	—	172	2	no	—
1029	M₁₆	—	172	2	no	—
1030	M₁₆	—	172	2	no	—
1031	C₂×C₈	—	4	2	no	—
1032	C₂×C₈	—	4	2	no	—
1033	C₂×C₈	—	43	1	no	—
1034	C₂×C₈	—	43	1	no	—
1035	C₂×C₈	—	43	2	no	—
1036	C₂×C₈	—	43	1	no	—
1037	C₂×C₈	—	43	1	no	—
1038	C₂×C₈	—	43	2	no	—
1039	C₂×C₈	—	86	2	no	—
1040	C₂×C₈	—	86	4	no	—
1041	C₂×C₈	—	86	2	no	—
1042	C₂×C₈	—	172	2	no	—
1043	C₂×C₈	—	172	2	no	—
1044	C₂×C₈	—	172	2	no	—
1045	C₂×C₈	—	172	2	no	—
1046	C₂×C₈	C₂³×D₄₃	1	1	yes	characteristic
1047	C₂×C₈	C₂³×D₄₃	1	1	yes	characteristic
1048	C₂×C₈	C₂³×D₄₃	1	2	yes	—
1049	C₂×C₈	C₂³×D₄₃	1	1	yes	characteristic
1050	C₂×C₈	C₂³×D₄₃	1	1	yes	characteristic
1051	C₂×C₈	C₂³×D₄₃	1	2	yes	—
1052	C₄⋊C₄	—	43	1	no	—
1053	C₄⋊C₄	—	43	1	no	—
1054	C₄⋊C₄	—	43	2	no	—
1055	C₄⋊C₄	—	43	2	no	—
1056	C₄⋊C₄	—	43	2	no	—
1057	C₄⋊C₄	—	43	1	no	—
1058	C₄⋊C₄	—	43	1	no	—
1059	C₄⋊C₄	—	43	1	no	—
1060	C₄⋊C₄	—	43	1	no	—
1061	C₄⋊C₄	—	43	1	no	—
1062	C₄⋊C₄	—	43	1	no	—
1063	C₄⋊C₄	—	43	2	no	—
1064	C₄⋊C₄	—	43	2	no	—
1065	C₄⋊C₄	C₂×C₄×D₄₃	1	1	yes	characteristic
1066	C₄⋊C₄	C₂×C₄×D₄₃	1	1	yes	characteristic
1067	C₄⋊C₄	C₂×C₄×D₄₃	1	2	yes	—
1068	C₂²⋊C₄	—	43	2	no	—
1069	C₂²⋊C₄	—	43	2	no	—
1070	C₂²⋊C₄	—	43	1	no	—
1071	C₂²⋊C₄	—	43	1	no	—
1072	C₂²⋊C₄	—	43	2	no	—
1073	C₂²⋊C₄	—	43	2	no	—
1074	C₂²⋊C₄	—	43	2	no	—
1075	C₂²⋊C₄	—	43	2	no	—
1076	C₂²⋊C₄	—	43	2	no	—
1077	C₂²⋊C₄	—	43	2	no	—
1078	C₂²⋊C₄	—	43	2	no	—
1079	C₂²⋊C₄	—	43	2	no	—
1080	C₂²⋊C₄	—	43	1	no	—
1081	C₂²⋊C₄	—	43	1	no	—
1082	C₂²⋊C₄	—	43	1	no	—
1083	C₂²⋊C₄	—	43	1	no	—
1084	C₂²⋊C₄	—	43	2	no	—
1085	C₂²⋊C₄	—	43	2	no	—
1086	C₂²⋊C₄	C₂×C₄×D₄₃	1	2	yes	—
1087	C₂²⋊C₄	C₂×C₄×D₄₃	1	2	yes	—
1088	C₂²⋊C₄	C₂×C₄×D₄₃	1	2	yes	—
1089	C₂²⋊C₄	C₂×C₄×D₄₃	1	2	yes	—
1090	C₄²	—	43	1	no	—
1091	C₄²	—	43	1	no	—
1092	C₄²	—	43	1	no	—
1093	C₄²	—	43	1	no	—
1094	C₄²	—	43	1	no	—
1095	C₄²	—	43	1	no	—
1096	C₄²	C₂×C₄×D₄₃	1	1	yes	characteristic
1097	C₄²	C₂×C₄×D₄₃	1	1	yes	characteristic
1098	C₄²	C₂³×D₄₃	1	1	yes	characteristic
1099	C₄²	C₂³×D₄₃	1	1	yes	characteristic
1100	C₂³	—	43	1	no	—
1101	C₂³	—	43	2	no	—
1102	C₂³	—	43	2	no	—
1103	C₂³	—	43	1	no	—
1104	C₂³	—	86	4	no	—
1105	C₂³	—	172	2	no	—
1106	C₂³	—	172	2	no	—
1107	C₂³	—	172	2	no	—
1108	C₂³	—	172	2	no	—
1109	C₂³	—	172	2	no	—
1110	C₂³	—	172	2	no	—
1111	C₂³	—	172	2	no	—
1112	C₂³	—	172	2	no	—
1113	C₂³	C₂²×C₄×D₄₃	1	2	yes	—
1114	C₂³	C₂²×C₄×D₄₃	1	2	yes	—
1115	C₂³	C₂²×C₄×D₄₃	1	1	yes	characteristic
1116	Q₈	—	4	2	no	—
1117	Q₈	—	86	2	no	—
1118	Q₈	—	86	4	no	—
1119	Q₈	—	172	2	no	—
1120	D₄	—	2	2	no	—
1121	D₄	—	2	2	no	—
1122	D₄	—	4	2	no	—
1123	D₄	—	4	2	no	—
1124	D₄	—	4	2	no	—
1125	D₄	—	4	2	no	—
1126	D₄	—	86	2	no	—
1127	D₄	—	86	4	no	—
1128	D₄	—	86	2	no	—
1129	D₄	—	86	4	no	—
1130	D₄	—	86	2	no	—
1131	D₄	—	86	4	no	—
1132	D₄	—	86	2	no	—
1133	D₄	—	86	2	no	—
1134	D₄	—	172	2	no	—
1135	D₄	—	172	2	no	—
1136	D₄	—	172	2	no	—
1137	D₄	—	172	2	no	—
1138	D₄	—	172	2	no	—
1139	D₄	—	172	2	no	—
1140	D₄	—	172	2	no	—
1141	D₄	—	172	2	no	—
1142	C₂×C₄	—	2	2	no	—
1143	C₂×C₄	—	2	2	no	—
1144	C₂×C₄	—	2	2	no	—
1145	C₂×C₄	—	2	2	no	—
1146	C₂×C₄	—	2	2	no	—
1147	C₂×C₄	—	2	1	no	—
1148	C₂×C₄	—	2	1	no	—
1149	C₂×C₄	—	4	1	no	—
1150	C₂×C₄	—	43	1	no	—
1151	C₂×C₄	—	43	2	no	—
1152	C₂×C₄	—	43	2	no	—
1153	C₂×C₄	—	43	1	no	—
1154	C₂×C₄	—	43	1	no	—
1155	C₂×C₄	—	43	1	no	—
1156	C₂×C₄	—	43	1	no	—
1157	C₂×C₄	—	43	1	no	—
1158	C₂×C₄	—	43	2	no	—
1159	C₂×C₄	—	43	2	no	—
1160	C₂×C₄	—	86	4	no	—
1161	C₂×C₄	—	86	4	no	—
1162	C₂×C₄	—	86	4	no	—
1163	C₂×C₄	—	86	2	no	—
1164	C₂×C₄	—	86	2	no	—
1165	C₂×C₄	—	86	2	no	—
1166	C₂×C₄	—	86	2	no	—
1167	C₂×C₄	—	86	2	no	—
1168	C₂×C₄	—	86	2	no	—
1169	C₂×C₄	—	86	1	no	—
1170	C₂×C₄	—	86	1	no	—
1171	C₂×C₄	—	172	2	no	—
1172	C₂×C₄	—	172	2	no	—
1173	C₂×C₄	—	172	2	no	—
1174	C₂×C₄	—	172	2	no	—
1175	C₂×C₄	—	172	1	no	—
1176	C₂×C₄	—	172	1	no	—
1177	C₂×C₄	—	172	2	no	—
1178	C₂×C₄	—	172	2	no	—
1179	C₂×C₄	C₂²×C₄×D₄₃	1	1	yes	characteristic
1180	C₂×C₄	C₂²×C₄×D₄₃	1	1	yes	characteristic
1181	C₂×C₄	C₂²×C₄×D₄₃	1	1	yes	characteristic
1182	C₂×C₄	C₂²×C₄×D₄₃	1	1	yes	characteristic
1183	C₂×C₄	C₂²×C₄×D₄₃	1	2	yes	—
1184	C₂×C₄	C₂²×C₄×D₄₃	1	2	yes	—
1185	C₂×C₄	C₂²×C₄×D₄₃	1	1	yes	characteristic
1186	C₂×C₄	C₂⁴×D₄₃	1	1	yes	characteristic
1187	C₈	—	2	1	no	—
1188	C₈	—	2	1	no	—
1189	C₈	—	2	2	no	—
1190	C₈	—	2	2	no	—
1191	C₈	—	2	1	no	—
1192	C₈	—	2	1	no	—
1193	C₈	—	86	1	no	—
1194	C₈	—	86	1	no	—
1195	C₈	—	86	2	no	—
1196	C₈	—	86	1	no	—
1197	C₈	—	86	1	no	—
1198	C₈	—	86	2	no	—
1199	C₂²	—	2	2	no	—
1200	C₂²	—	2	1	no	—
1201	C₂²	—	2	2	no	—
1202	C₂²	—	2	1	no	—
1203	C₂²	—	2	2	no	—
1204	C₂²	—	2	2	no	—
1205	C₂²	—	2	1	no	—
1206	C₂²	—	2	2	no	—
1207	C₂²	—	2	2	no	—
1208	C₂²	—	43	2	no	—
1209	C₂²	—	86	1	no	—
1210	C₂²	—	86	1	no	—
1211	C₂²	—	86	2	no	—
1212	C₂²	—	86	1	no	—
1213	C₂²	—	86	2	no	—
1214	C₂²	—	86	1	no	—
1215	C₂²	—	86	2	no	—
1216	C₂²	—	86	2	no	—
1217	C₂²	—	86	1	no	—
1218	C₂²	—	86	2	no	—
1219	C₂²	—	86	2	no	—
1220	C₂²	—	344	4	no	—
1221	C₂²	—	344	4	no	—
1222	C₂²	—	344	4	no	—
1223	C₂²	C₂³×C₄×D₄₃	1	1	yes	characteristic
1224	C₄	—	2	2	no	—
1225	C₄	—	2	1	no	—
1226	C₄	—	2	2	no	—
1227	C₄	—	2	1	no	—
1228	C₄	—	2	1	no	—
1229	C₄	—	2	1	no	—
1230	C₄	—	43	2	no	—
1231	C₄	—	86	2	no	—
1232	C₄	—	86	1	no	—
1233	C₄	—	86	2	no	—
1234	C₄	—	86	1	no	—
1235	C₄	—	86	1	no	—
1236	C₄	—	86	1	no	—
1237	C₄	—	86	1	no	—
1238	C₄	#14583664	1	2	yes	—
1239	C₄	H(5,𝔽₂)×D₄₃	1	1	yes	characteristic
1240	C₄	H(5,𝔽₂)×D₄₃	1	1	yes	characteristic
1241	C₂	—	4	1	no	—
1242	C₂	—	4	2	no	—
1243	C₂	—	4	2	no	—
1244	C₂	—	86	2	no	—
1245	C₂	—	172	2	no	—
1246	C₂	—	172	1	no	—
1247	C₂	—	172	2	no	—
1248	C₂	#518×D₄₃	1	1	yes	characteristic
1249	C₂	C₂×#14583664	1	1	yes	characteristic
1250	C₂	#19149308	1	1	yes	characteristic

	subgroup	G/H
center, Frattini	C₂×C₄	C₂⁴×D₄₃
commutator, socle	C₂²×C₄₃	C₂⁴×C₄
Fitting	C₄₃×#2981	C₂
prime radical	#19148081	C₂
cosocle	C₂×C₄×C₄₃	C₂⁵
hypercenter	#2981	D₄₃
hypocenter	C₄₃	#60241
LCS	G ▷ C₂²×C₄₃ ▷ C₄₃
UCS	C₁ ◁ C₂×C₄ ◁ #2981

Complements

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

N	H ≅ G/N	type
2. #19143672	C₂	semidirect
3. #19143662	C₂	semidirect
4. #19143658	C₂	semidirect
5. #19143654	C₂	semidirect
6. #19143653	C₂	semidirect
7. #19143644	C₂	semidirect
8. #19143638	C₂	semidirect
9. #19143635	C₂	semidirect
10. #19143633	C₂	semidirect
11. #19143632	C₂	semidirect
12. #19143628	C₂	semidirect
13. #19143334	C₂	semidirect
14. D₄×#10621872	C₂	semidirect
15. #19143321	C₂	semidirect
16. #19143304	C₂	semidirect
17. #19143293	C₂	semidirect
18. #436×D₄₃	C₂	semidirect
19. #19143262	C₂	semidirect
20. #19143234	C₂	semidirect
21. #19143043	C₂	semidirect
22. #19143037	C₂	semidirect
23. C₄₃×#2981	C₂	semidirect
25. C₂×#13063333	C₂²	semidirect
26. C₂×#13063331	C₂²	semidirect
27. C₂²×#10621872	C₂²	semidirect
28. C₂×M₁₆×D₄₃	C₂²	semidirect
52. #14582978	C₂²	semidirect
53. #14582978	C₂²	semidirect
54. #14582977	C₂²	semidirect
55. #14582977	C₂²	semidirect
56. #14582977	C₂²	semidirect
59. #14582976	C₂²	semidirect
60. #14582976	C₂²	semidirect
61. #14582975	C₂²	semidirect
62. #14582975	C₂²	semidirect
63. #14582975	C₂²	semidirect
64. #14582974	C₂²	semidirect
65. #14582974	C₂²	semidirect
66. #14582974	C₂²	semidirect
67. #14582973	C₂²	semidirect
68. #14582972	C₂²	semidirect
69. #14582972	C₂²	semidirect
70. #14582970	C₂²	semidirect
71. #14582970	C₂²	semidirect
72. #14582970	C₂²	semidirect
73. #14582968	C₂²	semidirect
74. #14582967	C₂²	semidirect
75. #14582967	C₂²	semidirect
76. #14582967	C₂²	semidirect
77. D₄×C₄₃⋊C₈	C₂²	semidirect
78. D₄×C₄₃⋊C₈	C₂²	semidirect
79. D₄×C₄₃⋊C₈	C₂²	semidirect
80. #14582964	C₂²	semidirect
81. #14582964	C₂²	semidirect
82. C₈×C₂²⋊D₄₃	C₂²	semidirect
83. (C₂²⋊D₄₃)⋊C₈	C₂²	semidirect
84. #14582961	C₂²	semidirect
85. #14582959	C₂²	semidirect
86. #14582959	C₂²	semidirect
87. #14582957	C₂²	semidirect
88. #14582957	C₂²	semidirect
89. #14582957	C₂²	semidirect
90. #14582955	C₂²	semidirect
91. #14582952	C₂²	semidirect
92. #14582952	C₂²	semidirect
93. #14582951	C₂²	semidirect
94. #14582950	C₂²	semidirect
95. #14582950	C₂²	semidirect
96. #14582924	C₂²	semidirect
97. #14582924	C₂²	semidirect
98. #14582921	C₂²	semidirect
99. C₄⋊C₈×D₄₃	C₂²	semidirect
100. #14582867	C₂²	semidirect
101. #14582866	C₂²	semidirect
102. #14582866	C₂²	semidirect
103. #14582865	C₂²	semidirect
107. #14582864	C₂²	semidirect
108. #14582864	C₂²	semidirect
109. #14582864	C₂²	semidirect
110. #14582864	C₂²	semidirect
111. #14582862	C₂²	semidirect
112. #14582861	C₂²	semidirect
113. #14582861	C₂²	semidirect
114. #14582861	C₂²	semidirect
115. #14582861	C₂²	semidirect
116. #14582861	C₂²	semidirect
117. #14582861	C₂²	semidirect
118. C₂×(C₂×D₄₃)⋊C₈	C₂²	semidirect
119. C₂²⋊C₈×D₄₃	C₂²	semidirect
120. C₂²⋊C₈×D₄₃	C₂²	semidirect
121. #14582856	C₂²	semidirect
122. C₄×#10621872	C₂²	semidirect
123. C₄×C₈×D₄₃	C₂²	semidirect
125. C₄₃×#436	C₂²	semidirect
126. C₄₃×#436	C₂²	semidirect
127. C₄₃×#435	C₂²	semidirect
128. C₄₃×#435	C₂²	semidirect
129. C₈×D₄×C₄₃	C₂²	semidirect
130. C₈×D₄×C₄₃	C₂²	semidirect
131. C₄₃×#432	C₂²	semidirect
132. C₄₃×#431	C₂²	semidirect
133. C₄₃×#408	C₂²	semidirect
134. C₄₃×#408	C₂²	semidirect
618. #2981	D₄₃	semidirect
693. #436	C₂×D₄₃	semidirect
694. #436	C₂×D₄₃	semidirect
705. #435	C₂×D₄₃	semidirect
706. #435	C₂×D₄₃	semidirect
714. C₈×D₄	C₂×D₄₃	semidirect
715. C₈×D₄	C₂×D₄₃	semidirect
723. #432	C₂×D₄₃	semidirect
729. #431	C₂×D₄₃	semidirect
745. #408	C₂×D₄₃	semidirect
746. #408	C₂×D₄₃	semidirect
760. C₄₃	#60241	semidirect

Maximal subgroups

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

subgroup	index
#19148081	2
#19143672	2
#19143662	2
#19143658	2
#19143654	2
#19143653	2
#19143644	2
#19143638	2
#19143635	2
#19143633	2
#19143632	2
#19143628	2
#19143334	2
D₄×#10621872	2
#19143321	2
#19143304	2
#19143293	2
#436×D₄₃	2
#19143262	2
#19143234	2
#19143043	2
#19143037	2
C₄₃×#2981	2
#60241	43