Subgroups — #25961392

Order 11008.

2242 conjugacy classes of subgroups.

The subgroup lattice has 1672 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×#14583408	C₂	1	1	yes	maximal, characteristic
2	#19143654	C₂	1	2	yes	maximal, complemented
3	#19143652	C₂	1	2	yes	maximal, complemented
4	#19143648	C₂	1	2	yes	maximal, complemented
5	#19143646	C₂	1	2	yes	maximal, complemented
6	#19143644	C₂	1	2	yes	maximal, complemented
7	#19143642	C₂	1	2	yes	maximal, complemented
8	#19143639	C₂	1	2	yes	maximal, complemented
9	#19143637	C₂	1	2	yes	maximal, complemented
10	M₁₆×D₁₇₂	C₂	1	1	yes	maximal, characteristic, complemented
11	D₄×#10621877	C₂	1	1	yes	maximal, characteristic, complemented
12	#19143330	C₂	1	1	yes	maximal, characteristic, complemented
13	M₁₆×C₂²⋊D₄₃	C₂	1	1	yes	maximal, characteristic, complemented
14	M₁₆×C₂²⋊D₄₃	C₂	1	1	yes	maximal, characteristic, complemented
15	#19143327	C₂	1	1	yes	maximal, characteristic, complemented
16	#19143327	C₂	1	1	yes	maximal, characteristic, complemented
17	#19143232	C₂	1	1	yes	maximal, characteristic, complemented
18	#19143231	C₂	1	1	yes	maximal, characteristic, complemented
19	#19143039	C₂	1	1	yes	maximal, characteristic, complemented
20	#19143038	C₂	1	1	yes	maximal, characteristic, complemented
21	C₂×#14582862	C₂	1	1	yes	maximal, characteristic, complemented
22	#407×D₄₃	C₂	1	1	yes	maximal, characteristic, complemented
23	D₄×M₁₆×C₄₃	C₂	1	1	yes	maximal, characteristic, complemented
24	C₂²×#10621898	C₂²	1	1	yes	characteristic
25	C₂³×C₄×D₄₃	C₂²	1	1	yes	characteristic
26	C₂²×#10621877	C₂²	1	1	yes	characteristic
27	C₂²×#10621877	C₂²	1	1	yes	characteristic, complemented
28	C₂×M₁₆×D₄₃	C₂²	1	1	yes	characteristic
29	C₂×M₁₆×D₄₃	C₂²	1	1	yes	characteristic
30	C₂×M₁₆×D₄₃	C₂²	1	1	yes	characteristic, complemented
31	C₂×M₁₆×D₄₃	C₂²	1	1	yes	characteristic, complemented
32	#14583408	C₄	1	1	yes	characteristic
33	#14583408	C₄	1	1	yes	characteristic
34	#14583408	C₄	1	1	yes	characteristic
35	#14583408	C₄	1	1	yes	characteristic
36	#14583408	C₄	1	1	yes	characteristic
37	#14583408	C₄	1	1	yes	characteristic
38	#14583408	C₄	1	1	yes	characteristic
39	#14583408	C₄	1	1	yes	characteristic
40	#14583408	C₂²	1	1	yes	characteristic
41	#14583408	C₂²	1	1	yes	characteristic
42	#14583408	C₂²	1	1	yes	characteristic
43	#14583408	C₂²	1	1	yes	characteristic
44	#14583408	C₂²	1	1	yes	characteristic
45	#14583408	C₂²	1	1	yes	characteristic
46	#14583408	C₂²	1	1	yes	characteristic
47	#14583408	C₂²	1	1	yes	characteristic
48	C₂×#13063310	C₄	1	1	yes	characteristic
49	C₂×#13063307	C₄	1	1	yes	characteristic
50	C₂×#13063303	C₄	1	1	yes	characteristic
51	C₂×#13063302	C₄	1	1	yes	characteristic
52	C₂×#13063298	C₄	1	1	yes	characteristic
53	C₂×#13063297	C₄	1	1	yes	characteristic
54	C₂×#13063295	C₄	1	1	yes	characteristic
55	C₂×#13063293	C₄	1	1	yes	characteristic
56	C₂×C₄×D₁₇₂	C₂²	1	1	yes	characteristic
57	C₂×C₄×C₂²⋊D₄₃	C₂²	1	1	yes	characteristic
58	C₂×C₄×C₂²⋊D₄₃	C₂²	1	1	yes	characteristic
59	C₂×#13063282	C₂²	1	1	yes	characteristic
60	#14582978	C₂²	1	2	yes	complemented
61	#14582977	C₂²	1	2	yes	complemented
62	#14582976	C₂²	1	2	yes	complemented
63	#14582975	C₂²	1	2	yes	complemented
64	#14582975	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	#14582973	C₂²	1	2	yes	complemented
69	#14582972	C₂²	1	2	yes	complemented
70	#14582972	C₂²	1	2	yes	complemented
71	#14582971	C₂²	1	2	yes	complemented
72	#14582971	C₂²	1	2	yes	complemented
73	#14582970	C₂²	1	2	yes	complemented
74	#14582970	C₂²	1	2	yes	complemented
75	#14582969	C₂²	1	2	yes	complemented
76	#14582969	C₂²	1	2	yes	complemented
77	#14582968	C₂²	1	2	yes	complemented
78	#14582968	C₂²	1	2	yes	complemented
79	#14582967	C₂²	1	2	yes	complemented
80	#14582967	C₂²	1	2	yes	complemented
81	C₈×D₁₇₂	C₂²	1	2	yes	complemented
82	D₄×C₄₃⋊C₈	C₂²	1	2	yes	complemented
83	#14582964	C₂²	1	2	yes	complemented
84	C₈×C₂²⋊D₄₃	C₂²	1	2	yes	complemented
85	C₈×C₂²⋊D₄₃	C₂²	1	2	yes	complemented
86	(C₂²⋊D₄₃)⋊C₈	C₂²	1	2	yes	complemented
87	(C₂²⋊D₄₃)⋊C₈	C₂²	1	2	yes	complemented
88	#14582961	C₂²	1	2	yes	complemented
89	#14582961	C₂²	1	2	yes	complemented
90	#14582959	C₂²	1	2	yes	complemented
91	#14582959	C₂²	1	2	yes	complemented
92	#14582959	C₂²	1	2	yes	complemented
93	#14582959	C₂²	1	2	yes	complemented
94	#14582958	C₂²	1	2	yes	complemented
95	#14582958	C₂²	1	2	yes	complemented
96	#14582923	C₂²	1	1	yes	characteristic, complemented
97	#14582922	C₂²	1	1	yes	characteristic, complemented
98	#14582922	C₂²	1	1	yes	characteristic, complemented
99	#14582867	C₂²	1	2	yes	complemented
100	#14582867	C₂²	1	2	yes	complemented
101	#14582865	C₂²	1	2	yes	complemented
102	#14582865	C₂²	1	2	yes	complemented
103	#14582864	C₂²	1	2	yes	complemented
104	#14582864	C₂²	1	2	yes	complemented
105	#14582864	C₂²	1	2	yes	complemented
106	#14582864	C₂²	1	2	yes	complemented
107	#14582863	C₂²	1	1	yes	characteristic
108	#14582863	C₂²	1	1	yes	characteristic, complemented
109	#14582862	C₂²	1	1	yes	characteristic
110	#14582862	C₂²	1	1	yes	characteristic
111	#14582862	C₂²	1	1	yes	characteristic
112	#14582862	C₂²	1	1	yes	characteristic
113	#14582862	C₂²	1	1	yes	characteristic
114	#14582862	C₂²	1	1	yes	characteristic
115	#14582862	C₂²	1	2	yes	complemented
116	#14582862	C₂²	1	2	yes	complemented
117	#14582862	C₂²	1	1	yes	characteristic, complemented
118	#14582862	C₂²	1	1	yes	characteristic, complemented
119	#14582861	C₂²	1	2	yes	complemented
120	#14582861	C₂²	1	2	yes	complemented
121	C₂×(C₂×D₄₃)⋊C₈	C₂²	1	2	yes	complemented
122	C₂×(C₂×D₄₃)⋊C₈	C₂²	1	2	yes	complemented
123	C₂²⋊C₈×D₄₃	C₂²	1	2	yes	complemented
124	C₂²⋊C₈×D₄₃	C₂²	1	2	yes	complemented
125	C₄×#10621877	C₂²	1	1	yes	characteristic, complemented
126	M₁₆×Dic₄₃	C₂²	1	1	yes	characteristic, complemented
127	M₁₆×Dic₄₃	C₂²	1	1	yes	characteristic, complemented
128	C₂²×M₁₆×C₄₃	C₂²	1	1	yes	characteristic
129	C₂²×M₁₆×C₄₃	C₂²	1	1	yes	characteristic, complemented
130	C₂×C₄×D₄×C₄₃	C₂²	1	1	yes	characteristic
131	C₄₃×#436	C₂²	1	2	yes	complemented
132	C₄₃×#435	C₂²	1	2	yes	complemented
133	C₄₃×#435	C₂²	1	2	yes	complemented
134	C₈×D₄×C₄₃	C₂²	1	2	yes	complemented
135	C₄₃×#423	C₂²	1	1	yes	characteristic, complemented
136	C₄₃×#407	C₂²	1	1	yes	characteristic
137	C₄₃×#407	C₂²	1	1	yes	characteristic, complemented
138	C₄×M₁₆×C₄₃	C₂²	1	1	yes	characteristic, complemented
139	C₂⁴×D₄₃	C₂×C₄	1	1	yes	characteristic
140	C₂×#10621898	—	4	2	no	—
141	C₂×#10621898	—	4	2	no	—
142	C₂×#10621898	C₂×C₄	1	1	yes	characteristic
143	C₂×#10621898	C₂×C₄	1	1	yes	characteristic
144	C₂×#10621898	C₂×C₄	1	1	yes	characteristic
145	C₂×#10621898	C₂×C₄	1	1	yes	characteristic
146	C₂×#10621898	C₂³	1	1	yes	characteristic
147	C₂×#10621898	C₂³	1	1	yes	characteristic
148	C₂×#10621898	C₂³	1	1	yes	characteristic
149	C₂×#10621898	C₂³	1	1	yes	characteristic
150	C₂²×Dic₈₆	C₂×C₄	1	1	yes	characteristic
151	C₂²×D₁₇₂	C₂×C₄	1	1	yes	characteristic
152	C₂²×D₁₇₂	C₂×C₄	1	1	yes	characteristic
153	C₂²×C₂²⋊D₄₃	C₂×C₄	1	1	yes	characteristic
154	C₂²×C₂²⋊D₄₃	C₂×C₄	1	1	yes	characteristic
155	C₂²×C₂²⋊D₄₃	C₂×C₄	1	1	yes	characteristic
156	C₂²×C₂²⋊D₄₃	C₂×C₄	1	1	yes	characteristic
157	C₂³×Dic₄₃	C₂×C₄	1	1	yes	characteristic
158	C₂²×C₄×D₄₃	—	4	2	no	—
159	C₂²×C₄×D₄₃	—	4	2	no	—
160	C₂²×C₄×D₄₃	C₂×C₄	1	1	yes	characteristic
161	C₂²×C₄×D₄₃	C₂×C₄	1	1	yes	characteristic
162	C₂²×C₄×D₄₃	C₂×C₄	1	1	yes	characteristic
163	C₂²×C₄×D₄₃	C₂×C₄	1	1	yes	characteristic
164	C₂²×C₄×D₄₃	C₂×C₄	1	1	yes	characteristic
165	C₂²×C₄×D₄₃	C₂×C₄	1	1	yes	characteristic
166	C₂²×C₄×D₄₃	C₂³	1	1	yes	characteristic
167	C₂²×C₄×D₄₃	C₂³	1	1	yes	characteristic
168	C₂²×C₄×D₄₃	C₂³	1	1	yes	characteristic
169	C₂²×C₄×D₄₃	C₂³	1	1	yes	characteristic
170	C₂²×C₄×D₄₃	C₂³	1	1	yes	characteristic
171	C₂²×C₄×D₄₃	C₂³	1	1	yes	characteristic
172	C₂²×C₄×D₄₃	C₂³	1	1	yes	characteristic
173	C₂×#10621877	—	4	2	no	—
174	C₂×#10621877	—	4	2	no	—
175	C₂×#10621877	C₂³	1	1	yes	characteristic
176	C₂×#10621877	C₂³	1	1	yes	characteristic
177	C₂×#10621877	C₂³	1	1	yes	characteristic
178	C₂×#10621877	C₂³	1	1	yes	characteristic
179	C₂×#10621877	C₂³	1	2	yes	—
180	C₂×#10621877	C₂³	1	2	yes	complemented
181	C₂×#10621872	C₂³	1	2	yes	—
182	C₂×#10621872	C₂³	1	2	yes	—
183	C₂×#10621872	C₂³	1	2	yes	complemented
184	C₂×#10621872	C₂³	1	2	yes	complemented
185	M₁₆×D₄₃	—	4	2	no	—
186	M₁₆×D₄₃	—	4	2	no	—
187	M₁₆×D₄₃	—	4	2	no	—
188	M₁₆×D₄₃	—	4	2	no	—
189	C₂²×C₄₃⋊C₈	C₂³	1	2	yes	—
190	C₂²×C₄₃⋊C₈	C₂³	1	2	yes	complemented
191	C₂×C₈×D₄₃	C₂³	1	2	yes	—
192	C₂×C₈×D₄₃	C₂³	1	2	yes	—
193	C₂×C₈×D₄₃	C₂³	1	2	yes	complemented
194	C₂×C₈×D₄₃	C₂³	1	2	yes	complemented
195	#13063310	C₂×C₄	1	1	yes	characteristic
196	#13063310	C₂×C₄	1	1	yes	characteristic
197	#13063310	C₂×C₄	1	1	yes	characteristic
198	#13063310	C₂×C₄	1	1	yes	characteristic
199	#13063310	C₂×C₄	1	1	yes	characteristic
200	#13063310	C₂×C₄	1	1	yes	characteristic
201	#13063310	C₂×C₄	1	1	yes	characteristic
202	#13063310	C₂×C₄	1	1	yes	characteristic
203	#13063307	C₂×C₄	1	1	yes	characteristic
204	#13063307	C₂×C₄	1	1	yes	characteristic
205	#13063307	C₂×C₄	1	1	yes	characteristic
206	#13063307	C₂×C₄	1	1	yes	characteristic
207	#13063307	C₂×C₄	1	1	yes	characteristic
208	#13063307	C₂×C₄	1	1	yes	characteristic
209	#13063307	C₂×C₄	1	1	yes	characteristic
210	#13063307	C₂×C₄	1	1	yes	characteristic
211	#13063303	C₂×C₄	1	1	yes	characteristic
212	#13063303	C₂×C₄	1	1	yes	characteristic
213	#13063303	C₂×C₄	1	1	yes	characteristic
214	#13063303	C₂×C₄	1	1	yes	characteristic
215	#13063303	C₂×C₄	1	1	yes	characteristic
216	#13063303	C₂×C₄	1	1	yes	characteristic
217	#13063303	C₂×C₄	1	1	yes	characteristic
218	#13063303	C₂×C₄	1	1	yes	characteristic
219	#13063302	C₂×C₄	1	1	yes	characteristic
220	#13063302	C₂×C₄	1	1	yes	characteristic
221	#13063302	C₂×C₄	1	1	yes	characteristic
222	#13063302	C₂×C₄	1	1	yes	characteristic
223	#13063302	C₂×C₄	1	1	yes	characteristic
224	#13063302	C₂×C₄	1	1	yes	characteristic
225	#13063302	C₂×C₄	1	1	yes	characteristic
226	#13063302	C₂×C₄	1	1	yes	characteristic
227	#13063298	C₂×C₄	1	1	yes	characteristic
228	#13063298	C₂×C₄	1	1	yes	characteristic
229	#13063298	C₂×C₄	1	1	yes	characteristic
230	#13063298	C₂×C₄	1	1	yes	characteristic
231	#13063298	C₂×C₄	1	1	yes	characteristic
232	#13063298	C₂×C₄	1	1	yes	characteristic
233	#13063298	C₂×C₄	1	1	yes	characteristic
234	#13063298	C₂×C₄	1	1	yes	characteristic
235	#13063297	C₂×C₄	1	1	yes	characteristic
236	#13063297	C₂×C₄	1	1	yes	characteristic
237	#13063297	C₂×C₄	1	1	yes	characteristic
238	#13063297	C₂×C₄	1	1	yes	characteristic
239	#13063297	C₂×C₄	1	1	yes	characteristic
240	#13063297	C₂×C₄	1	1	yes	characteristic
241	#13063297	C₂×C₄	1	1	yes	characteristic
242	#13063297	C₂×C₄	1	1	yes	characteristic
243	#13063295	C₂×C₄	1	1	yes	characteristic
244	#13063295	C₂×C₄	1	1	yes	characteristic
245	#13063295	C₂×C₄	1	1	yes	characteristic
246	#13063295	C₂×C₄	1	1	yes	characteristic
247	#13063295	C₂×C₄	1	1	yes	characteristic
248	#13063295	C₂×C₄	1	1	yes	characteristic
249	#13063295	C₂×C₄	1	1	yes	characteristic
250	#13063295	C₂×C₄	1	1	yes	characteristic
251	#13063293	C₂×C₄	1	1	yes	characteristic
252	#13063293	C₂×C₄	1	1	yes	characteristic
253	#13063293	C₂×C₄	1	1	yes	characteristic
254	#13063293	C₂×C₄	1	1	yes	characteristic
255	#13063293	C₂×C₄	1	1	yes	characteristic
256	#13063293	C₂×C₄	1	1	yes	characteristic
257	#13063293	C₂×C₄	1	1	yes	characteristic
258	#13063293	C₂×C₄	1	1	yes	characteristic
259	C₄×D₁₇₂	C₂×C₄	1	1	yes	characteristic
260	C₄×D₁₇₂	C₂×C₄	1	1	yes	characteristic
261	C₄×D₁₇₂	C₂×C₄	1	1	yes	characteristic
262	C₄×D₁₇₂	C₂×C₄	1	1	yes	characteristic
263	C₄×D₁₇₂	C₂³	1	1	yes	characteristic
264	C₄×D₁₇₂	C₂³	1	1	yes	characteristic
265	C₄×D₁₇₂	C₂³	1	1	yes	characteristic
266	C₄×D₁₇₂	C₂³	1	1	yes	characteristic
267	C₄×C₂²⋊D₄₃	C₂×C₄	1	1	yes	characteristic
268	C₄×C₂²⋊D₄₃	C₂×C₄	1	1	yes	characteristic
269	C₄×C₂²⋊D₄₃	C₂×C₄	1	1	yes	characteristic
270	C₄×C₂²⋊D₄₃	C₂×C₄	1	1	yes	characteristic
271	C₄×C₂²⋊D₄₃	C₂×C₄	1	1	yes	characteristic
272	C₄×C₂²⋊D₄₃	C₂×C₄	1	1	yes	characteristic
273	C₄×C₂²⋊D₄₃	C₂×C₄	1	1	yes	characteristic
274	C₄×C₂²⋊D₄₃	C₂×C₄	1	1	yes	characteristic
275	C₄×C₂²⋊D₄₃	C₂³	1	1	yes	characteristic
276	C₄×C₂²⋊D₄₃	C₂³	1	1	yes	characteristic
277	C₄×C₂²⋊D₄₃	C₂³	1	1	yes	characteristic
278	C₄×C₂²⋊D₄₃	C₂³	1	1	yes	characteristic
279	C₄×C₂²⋊D₄₃	C₂³	1	1	yes	characteristic
280	C₄×C₂²⋊D₄₃	C₂³	1	1	yes	characteristic
281	C₄×C₂²⋊D₄₃	C₂³	1	1	yes	characteristic
282	C₄×C₂²⋊D₄₃	C₂³	1	1	yes	characteristic
283	#13063282	C₂×C₄	1	1	yes	characteristic
284	#13063282	C₂×C₄	1	1	yes	characteristic
285	#13063282	C₂×C₄	1	1	yes	characteristic
286	#13063282	C₂×C₄	1	1	yes	characteristic
287	#13063282	C₂³	1	1	yes	characteristic
288	#13063282	C₂³	1	1	yes	characteristic
289	#13063282	C₂³	1	1	yes	characteristic
290	#13063282	C₂³	1	1	yes	characteristic
291	C₂×C₄⋊Dic₄₃	C₂×C₄	1	1	yes	characteristic
292	C₂×Dic₄₃⋊C₄	C₂×C₄	1	1	yes	characteristic
293	C₂×Dic₄₃⋊C₄	C₂×C₄	1	1	yes	characteristic
294	C₂×Dic₄₃⋊C₄	C₂×C₄	1	1	yes	characteristic
295	C₂×Dic₄₃⋊C₄	C₂×C₄	1	1	yes	characteristic
296	C₂×C₂²⋊Dic₄₃	C₂×C₄	1	1	yes	characteristic
297	C₂×C₂²⋊Dic₄₃	C₂×C₄	1	1	yes	characteristic
298	C₂×(C₂×D₄₃)⋊C₄	C₂×C₄	1	1	yes	characteristic
299	C₂×(C₂×D₄₃)⋊C₄	C₂×C₄	1	1	yes	characteristic
300	C₂×(C₂×D₄₃)⋊C₄	C₂×C₄	1	1	yes	characteristic
301	C₂×(C₂×D₄₃)⋊C₄	C₂×C₄	1	1	yes	characteristic
302	C₂×(C₂×D₄₃)⋊C₄	C₂×C₄	1	1	yes	characteristic
303	C₂×(C₂×D₄₃)⋊C₄	C₂×C₄	1	1	yes	characteristic
304	C₂×C₄×Dic₄₃	C₂³	1	1	yes	characteristic
305	C₄⋊(C₄₃⋊C₈)	C₂³	1	2	yes	complemented
306	C₄⋊(C₄₃⋊C₈)	C₂³	1	2	yes	complemented
307	Dic₄₃⋊C₈	C₂³	1	2	yes	complemented
308	Dic₄₃⋊C₈	C₂³	1	2	yes	complemented
309	Dic₄₃⋊C₈	C₂³	1	2	yes	complemented
310	Dic₄₃⋊C₈	C₂³	1	2	yes	complemented
311	C₂²⋊(C₄₃⋊C₈)	C₂³	1	2	yes	—
312	C₂²⋊(C₄₃⋊C₈)	C₂³	1	2	yes	—
313	C₂²⋊(C₄₃⋊C₈)	C₂³	1	2	yes	complemented
314	C₂²⋊(C₄₃⋊C₈)	C₂³	1	2	yes	complemented
315	(C₂×D₄₃)⋊C₈	C₂³	1	2	yes	—
316	(C₂×D₄₃)⋊C₈	C₂³	1	2	yes	—
317	(C₂×D₄₃)⋊C₈	C₂³	1	2	yes	—
318	(C₂×D₄₃)⋊C₈	C₂³	1	2	yes	—
319	(C₂×D₄₃)⋊C₈	C₂³	1	2	yes	—
320	(C₂×D₄₃)⋊C₈	C₂³	1	2	yes	—
321	(C₂×D₄₃)⋊C₈	C₂³	1	2	yes	—
322	(C₂×D₄₃)⋊C₈	C₂³	1	2	yes	—
323	(C₂×D₄₃)⋊C₈	C₂³	1	2	yes	—
324	(C₂×D₄₃)⋊C₈	C₂³	1	2	yes	—
325	(C₂×D₄₃)⋊C₈	C₂³	1	2	yes	—
326	(C₂×D₄₃)⋊C₈	C₂³	1	2	yes	—
327	(C₂×D₄₃)⋊C₈	C₂³	1	2	yes	complemented
328	(C₂×D₄₃)⋊C₈	C₂³	1	2	yes	complemented
329	(C₂×D₄₃)⋊C₈	C₂³	1	2	yes	complemented
330	(C₂×D₄₃)⋊C₈	C₂³	1	2	yes	complemented
331	#13063236	C₂³	1	2	yes	complemented
332	#13063235	C₂³	1	2	yes	complemented
333	#13063235	C₂³	1	2	yes	complemented
334	C₄×C₄₃⋊C₈	C₂³	1	2	yes	complemented
335	C₈×Dic₄₃	C₂³	1	2	yes	complemented
336	C₈×Dic₄₃	C₂³	1	2	yes	complemented
337	C₂²×D₄×C₄₃	C₂×C₄	1	1	yes	characteristic
338	C₂³×C₄×C₄₃	C₂³	1	1	yes	characteristic
339	C₂³×C₄×C₄₃	C₂³	1	1	yes	characteristic
340	C₂×M₁₆×C₄₃	—	4	2	no	—
341	C₂×M₁₆×C₄₃	—	4	2	no	—
342	C₂×M₁₆×C₄₃	C₂³	1	1	yes	characteristic
343	C₂×M₁₆×C₄₃	C₂³	1	1	yes	characteristic
344	C₂×M₁₆×C₄₃	C₂³	1	1	yes	characteristic
345	C₂×M₁₆×C₄₃	C₂³	1	1	yes	characteristic
346	C₂×M₁₆×C₄₃	C₂³	1	2	yes	—
347	C₂×M₁₆×C₄₃	C₂³	1	2	yes	complemented
348	C₂²×C₈×C₄₃	C₂³	1	2	yes	—
349	C₂²×C₈×C₄₃	C₂³	1	2	yes	complemented
350	C₄×D₄×C₄₃	C₂×C₄	1	1	yes	characteristic
351	C₄×D₄×C₄₃	C₂×C₄	1	1	yes	characteristic
352	C₄×D₄×C₄₃	C₂×C₄	1	1	yes	characteristic
353	C₄×D₄×C₄₃	C₂×C₄	1	1	yes	characteristic
354	C₄×D₄×C₄₃	C₂³	1	1	yes	characteristic
355	C₄×D₄×C₄₃	C₂³	1	1	yes	characteristic
356	C₄×D₄×C₄₃	C₂³	1	1	yes	characteristic
357	C₄×D₄×C₄₃	C₂³	1	1	yes	characteristic
358	C₂×C₄⋊C₄×C₄₃	C₂×C₄	1	1	yes	characteristic
359	C₂×C₂²⋊C₄×C₄₃	C₂×C₄	1	1	yes	characteristic
360	C₂×C₂²⋊C₄×C₄₃	C₂×C₄	1	1	yes	characteristic
361	C₂×C₄²×C₄₃	C₂³	1	1	yes	characteristic
362	C₄⋊C₈×C₄₃	C₂³	1	2	yes	complemented
363	C₄⋊C₈×C₄₃	C₂³	1	2	yes	complemented
364	C₂²⋊C₈×C₄₃	C₂³	1	2	yes	—
365	C₂²⋊C₈×C₄₃	C₂³	1	2	yes	—
366	C₂²⋊C₈×C₄₃	C₂³	1	2	yes	complemented
367	C₂²⋊C₈×C₄₃	C₂³	1	2	yes	complemented
368	#97×C₄₃	C₂³	1	2	yes	complemented
369	C₄×C₈×C₄₃	C₂³	1	2	yes	complemented
370	C₂⁴×C₄₃	C₂²×C₄	1	1	yes	characteristic
371	C₂⁴×C₄₃	C₂²×C₄	1	1	yes	characteristic
372	C₂³×D₄₃	—	4	2	no	—
373	C₂³×D₄₃	—	4	2	no	—
374	C₂³×D₄₃	—	4	2	no	—
375	C₂³×D₄₃	C₂²×C₄	1	1	yes	characteristic
376	C₂³×D₄₃	C₂²×C₄	1	1	yes	characteristic
377	C₂³×D₄₃	C₂²×C₄	1	1	yes	characteristic
378	C₂³×D₄₃	C₂²×C₄	1	1	yes	characteristic
379	C₂³×D₄₃	C₂²×C₄	1	1	yes	characteristic
380	C₂³×D₄₃	C₂²×C₄	1	1	yes	characteristic
381	C₂³×D₄₃	C₂²×C₄	1	1	yes	characteristic
382	C₂×D₄×C₄₃	—	4	2	no	—
383	C₂×D₄×C₄₃	C₂²×C₄	1	1	yes	characteristic
384	C₂×D₄×C₄₃	C₂²×C₄	1	1	yes	characteristic
385	C₂×D₄×C₄₃	C₂²×C₄	1	1	yes	characteristic
386	C₂×D₄×C₄₃	C₂²×C₄	1	1	yes	characteristic
387	C₂²×C₄×C₄₃	—	2	2	no	—
388	C₂²×C₄×C₄₃	—	2	2	no	—
389	C₂²×C₄×C₄₃	—	2	2	no	—
390	C₂²×C₄×C₄₃	—	2	2	no	—
391	C₂²×C₄×C₄₃	C₂²×C₄	1	1	yes	characteristic
392	C₂²×C₄×C₄₃	C₂²×C₄	1	1	yes	characteristic
393	C₂²×C₄×C₄₃	C₂²×C₄	1	1	yes	characteristic
394	C₂²×C₄×C₄₃	C₂²×C₄	1	1	yes	characteristic
395	C₂²×C₄×C₄₃	C₂²×C₄	1	1	yes	characteristic
396	C₂²×C₄×C₄₃	C₂²×C₄	1	1	yes	characteristic
397	C₂²×C₄×C₄₃	C₂²×C₄	1	1	yes	characteristic
398	C₂²×C₄×C₄₃	C₂²×C₄	1	1	yes	characteristic
399	C₂²×C₄×C₄₃	C₂⁴	1	1	yes	characteristic
400	C₂²×C₄×C₄₃	C₂⁴	1	1	yes	characteristic
401	C₂²×C₄×C₄₃	C₂⁴	1	1	yes	characteristic
402	C₂²×C₄×C₄₃	C₂⁴	1	1	yes	characteristic
403	C₂²×C₄×C₄₃	C₂⁴	1	1	yes	characteristic
404	C₂×C₂²⋊D₄₃	—	4	2	no	—
405	C₂×C₂²⋊D₄₃	—	4	2	no	—
406	C₂×C₂²⋊D₄₃	—	4	2	no	—
407	C₂×C₂²⋊D₄₃	—	4	2	no	—
408	C₂×C₂²⋊D₄₃	C₂²×C₄	1	1	yes	characteristic
409	C₂×C₂²⋊D₄₃	C₂²×C₄	1	1	yes	characteristic
410	C₂×C₂²⋊D₄₃	C₂²×C₄	1	1	yes	characteristic
411	C₂×C₂²⋊D₄₃	C₂²×C₄	1	1	yes	characteristic
412	C₂×C₂²⋊D₄₃	C₂²×C₄	1	1	yes	characteristic
413	C₂×C₂²⋊D₄₃	C₂²×C₄	1	1	yes	characteristic
414	C₂×C₂²⋊D₄₃	C₂²×C₄	1	1	yes	characteristic
415	C₂×C₂²⋊D₄₃	C₂²×C₄	1	1	yes	characteristic
416	C₂×C₂²⋊D₄₃	C₂²×C₄	1	1	yes	characteristic
417	C₂×C₂²⋊D₄₃	C₂²×C₄	1	1	yes	characteristic
418	C₂×C₂²⋊D₄₃	C₂²×C₄	1	1	yes	characteristic
419	C₂×C₂²⋊D₄₃	C₂²×C₄	1	1	yes	characteristic
420	C₂×C₂²⋊D₄₃	C₂²×C₄	1	1	yes	characteristic
421	C₂×C₂²⋊D₄₃	C₂²×C₄	1	1	yes	characteristic
422	C₂×C₂²⋊D₄₃	C₂²×C₄	1	1	yes	characteristic
423	C₂×C₂²⋊D₄₃	C₂²×C₄	1	1	yes	characteristic
424	C₂²×Dic₄₃	—	4	2	no	—
425	C₂²×Dic₄₃	C₂²×C₄	1	1	yes	characteristic
426	C₂²×Dic₄₃	C₂²×C₄	1	1	yes	characteristic
427	C₂²×Dic₄₃	C₂²×C₄	1	1	yes	characteristic
428	C₂²×Dic₄₃	C₂²×C₄	1	1	yes	characteristic
429	C₂²×Dic₄₃	C₂²×C₄	1	1	yes	characteristic
430	C₂²×Dic₄₃	C₂²×C₄	1	1	yes	characteristic
431	C₂²×Dic₄₃	C₂²×C₄	1	1	yes	characteristic
432	C₂²×Dic₄₃	C₂²×C₄	1	1	yes	characteristic
433	C₂²×Dic₄₃	C₂²×C₄	1	1	yes	characteristic
434	#10621898	—	4	2	no	—
435	#10621898	—	4	2	no	—
436	#10621898	—	4	2	no	—
437	#10621898	—	4	2	no	—
438	#10621898	—	4	1	no	—
439	#10621898	—	4	1	no	—
440	#10621898	—	4	1	no	—
441	#10621898	—	4	1	no	—
442	#10621898	—	4	1	no	—
443	#10621898	—	4	1	no	—
444	#10621898	—	4	1	no	—
445	#10621898	—	4	1	no	—
446	C₂×D₁₇₂	—	4	2	no	—
447	C₂×D₁₇₂	—	4	2	no	—
448	C₂×D₁₇₂	C₂²×C₄	1	1	yes	characteristic
449	C₂×D₁₇₂	C₂²×C₄	1	1	yes	characteristic
450	C₂×D₁₇₂	C₂²×C₄	1	1	yes	characteristic
451	C₂×D₁₇₂	C₂²×C₄	1	1	yes	characteristic
452	C₂×D₁₇₂	C₂²×C₄	1	1	yes	characteristic
453	C₂×D₁₇₂	C₂²×C₄	1	1	yes	characteristic
454	C₂×D₁₇₂	C₂²×C₄	1	1	yes	characteristic
455	C₂×D₁₇₂	C₂²×C₄	1	1	yes	characteristic
456	C₂×C₄×D₄₃	—	2	2	no	—
457	C₂×C₄×D₄₃	—	2	2	no	—
458	C₂×C₄×D₄₃	—	2	2	no	—
459	C₂×C₄×D₄₃	—	2	2	no	—
460	C₂×C₄×D₄₃	—	2	2	no	—
461	C₂×C₄×D₄₃	—	2	2	no	—
462	C₂×C₄×D₄₃	—	4	2	no	—
463	C₂×C₄×D₄₃	—	4	2	no	—
464	C₂×C₄×D₄₃	—	4	2	no	—
465	C₂×C₄×D₄₃	—	4	2	no	—
466	C₂×C₄×D₄₃	—	4	2	no	—
467	C₂×C₄×D₄₃	—	4	2	no	—
468	C₂×C₄×D₄₃	—	4	1	no	—
469	C₂×C₄×D₄₃	—	4	1	no	—
470	C₂×C₄×D₄₃	—	4	1	no	—
471	C₂×C₄×D₄₃	—	4	1	no	—
472	C₂×C₄×D₄₃	—	4	1	no	—
473	C₂×C₄×D₄₃	—	4	1	no	—
474	C₂×C₄×D₄₃	—	4	1	no	—
475	C₂×C₄×D₄₃	—	4	1	no	—
476	C₂×C₄×D₄₃	C₂²×C₄	1	1	yes	characteristic
477	C₂×C₄×D₄₃	C₂²×C₄	1	1	yes	characteristic
478	C₂×C₄×D₄₃	C₂²×C₄	1	1	yes	characteristic
479	C₂×C₄×D₄₃	C₂²×C₄	1	1	yes	characteristic
480	C₂×C₄×D₄₃	C₂²×C₄	1	1	yes	characteristic
481	C₂×C₄×D₄₃	C₂²×C₄	1	1	yes	characteristic
482	C₂×C₄×D₄₃	C₂²×C₄	1	1	yes	characteristic
483	C₂×C₄×D₄₃	C₂²×C₄	1	1	yes	characteristic
484	C₂×C₄×D₄₃	C₂²×C₄	1	1	yes	characteristic
485	C₂×C₄×D₄₃	C₂²×C₄	1	1	yes	characteristic
486	C₂×C₄×D₄₃	C₂²×C₄	1	1	yes	characteristic
487	C₂×C₄×D₄₃	C₂²×C₄	1	1	yes	characteristic
488	C₂×C₄×D₄₃	C₂²×C₄	1	1	yes	characteristic
489	C₂×C₄×D₄₃	C₂²×C₄	1	1	yes	characteristic
490	C₂×C₄×D₄₃	C₂⁴	1	1	yes	characteristic
491	C₂×C₄×D₄₃	C₂⁴	1	1	yes	characteristic
492	C₂×C₄×D₄₃	C₂⁴	1	1	yes	characteristic
493	C₂×C₄×D₄₃	C₂⁴	1	1	yes	characteristic
494	C₂×C₄×D₄₃	C₂⁴	1	1	yes	characteristic
495	C₂×C₄×D₄₃	C₂⁴	1	1	yes	characteristic
496	C₂×Dic₈₆	—	4	2	no	—
497	C₂×Dic₈₆	C₂²×C₄	1	1	yes	characteristic
498	C₂×Dic₈₆	C₂²×C₄	1	1	yes	characteristic
499	C₂×Dic₈₆	C₂²×C₄	1	1	yes	characteristic
500	C₂×Dic₈₆	C₂²×C₄	1	1	yes	characteristic
501	M₁₆×C₄₃	—	2	2	no	—
502	M₁₆×C₄₃	—	2	2	no	—
503	M₁₆×C₄₃	—	2	2	no	—
504	M₁₆×C₄₃	—	2	2	no	—
505	M₁₆×C₄₃	—	4	2	no	—
506	M₁₆×C₄₃	—	4	2	no	—
507	C₂×C₈×C₄₃	—	4	2	no	—
508	C₂×C₈×C₄₃	—	4	2	no	—
509	C₂×C₈×C₄₃	C₂⁴	1	2	yes	—
510	C₂×C₈×C₄₃	C₂⁴	1	2	yes	—
511	C₂×C₈×C₄₃	C₂⁴	1	2	yes	—
512	C₂×C₈×C₄₃	C₂⁴	1	2	yes	—
513	C₄⋊C₄×C₄₃	C₂²×C₄	1	1	yes	characteristic
514	C₄⋊C₄×C₄₃	C₂²×C₄	1	1	yes	characteristic
515	C₄⋊C₄×C₄₃	C₂²×C₄	1	1	yes	characteristic
516	C₄⋊C₄×C₄₃	C₂²×C₄	1	1	yes	characteristic
517	C₂²⋊C₄×C₄₃	C₂²×C₄	1	1	yes	characteristic
518	C₂²⋊C₄×C₄₃	C₂²×C₄	1	1	yes	characteristic
519	C₂²⋊C₄×C₄₃	C₂²×C₄	1	1	yes	characteristic
520	C₂²⋊C₄×C₄₃	C₂²×C₄	1	1	yes	characteristic
521	C₂²⋊C₄×C₄₃	C₂²×C₄	1	1	yes	characteristic
522	C₂²⋊C₄×C₄₃	C₂²×C₄	1	1	yes	characteristic
523	C₂²⋊C₄×C₄₃	C₂²×C₄	1	1	yes	characteristic
524	C₂²⋊C₄×C₄₃	C₂²×C₄	1	1	yes	characteristic
525	C₄²×C₄₃	C₂²×C₄	1	1	yes	characteristic
526	C₄²×C₄₃	C₂²×C₄	1	1	yes	characteristic
527	C₄²×C₄₃	C₂⁴	1	1	yes	characteristic
528	C₄²×C₄₃	C₂⁴	1	1	yes	characteristic
529	C₂²⋊Dic₄₃	C₂²×C₄	1	1	yes	characteristic
530	C₂²⋊Dic₄₃	C₂²×C₄	1	1	yes	characteristic
531	C₂²⋊Dic₄₃	C₂²×C₄	1	1	yes	characteristic
532	C₂²⋊Dic₄₃	C₂²×C₄	1	1	yes	characteristic
533	C₂²⋊Dic₄₃	C₂²×C₄	1	1	yes	characteristic
534	C₂²⋊Dic₄₃	C₂²×C₄	1	1	yes	characteristic
535	C₂²⋊Dic₄₃	C₂²×C₄	1	1	yes	characteristic
536	C₂²⋊Dic₄₃	C₂²×C₄	1	1	yes	characteristic
537	(C₂×D₄₃)⋊C₄	C₂²×C₄	1	1	yes	characteristic
538	(C₂×D₄₃)⋊C₄	C₂²×C₄	1	1	yes	characteristic
539	(C₂×D₄₃)⋊C₄	C₂²×C₄	1	1	yes	characteristic
540	(C₂×D₄₃)⋊C₄	C₂²×C₄	1	1	yes	characteristic
541	(C₂×D₄₃)⋊C₄	C₂²×C₄	1	1	yes	characteristic
542	(C₂×D₄₃)⋊C₄	C₂²×C₄	1	1	yes	characteristic
543	(C₂×D₄₃)⋊C₄	C₂²×C₄	1	1	yes	characteristic
544	(C₂×D₄₃)⋊C₄	C₂²×C₄	1	1	yes	characteristic
545	(C₂×D₄₃)⋊C₄	C₂²×C₄	1	1	yes	characteristic
546	(C₂×D₄₃)⋊C₄	C₂²×C₄	1	1	yes	characteristic
547	(C₂×D₄₃)⋊C₄	C₂²×C₄	1	1	yes	characteristic
548	(C₂×D₄₃)⋊C₄	C₂²×C₄	1	1	yes	characteristic
549	(C₂×D₄₃)⋊C₄	C₂²×C₄	1	1	yes	characteristic
550	(C₂×D₄₃)⋊C₄	C₂²×C₄	1	1	yes	characteristic
551	(C₂×D₄₃)⋊C₄	C₂²×C₄	1	1	yes	characteristic
552	(C₂×D₄₃)⋊C₄	C₂²×C₄	1	1	yes	characteristic
553	(C₂×D₄₃)⋊C₄	C₂²×C₄	1	1	yes	characteristic
554	(C₂×D₄₃)⋊C₄	C₂²×C₄	1	1	yes	characteristic
555	(C₂×D₄₃)⋊C₄	C₂²×C₄	1	1	yes	characteristic
556	(C₂×D₄₃)⋊C₄	C₂²×C₄	1	1	yes	characteristic
557	(C₂×D₄₃)⋊C₄	C₂²×C₄	1	1	yes	characteristic
558	(C₂×D₄₃)⋊C₄	C₂²×C₄	1	1	yes	characteristic
559	(C₂×D₄₃)⋊C₄	C₂²×C₄	1	1	yes	characteristic
560	(C₂×D₄₃)⋊C₄	C₂²×C₄	1	1	yes	characteristic
561	C₄⋊Dic₄₃	C₂²×C₄	1	1	yes	characteristic
562	C₄⋊Dic₄₃	C₂²×C₄	1	1	yes	characteristic
563	C₄⋊Dic₄₃	C₂²×C₄	1	1	yes	characteristic
564	C₄⋊Dic₄₃	C₂²×C₄	1	1	yes	characteristic
565	Dic₄₃⋊C₄	C₂²×C₄	1	1	yes	characteristic
566	Dic₄₃⋊C₄	C₂²×C₄	1	1	yes	characteristic
567	Dic₄₃⋊C₄	C₂²×C₄	1	1	yes	characteristic
568	Dic₄₃⋊C₄	C₂²×C₄	1	1	yes	characteristic
569	Dic₄₃⋊C₄	C₂²×C₄	1	1	yes	characteristic
570	Dic₄₃⋊C₄	C₂²×C₄	1	1	yes	characteristic
571	Dic₄₃⋊C₄	C₂²×C₄	1	1	yes	characteristic
572	Dic₄₃⋊C₄	C₂²×C₄	1	1	yes	characteristic
573	Dic₄₃⋊C₄	C₂²×C₄	1	1	yes	characteristic
574	Dic₄₃⋊C₄	C₂²×C₄	1	1	yes	characteristic
575	Dic₄₃⋊C₄	C₂²×C₄	1	1	yes	characteristic
576	Dic₄₃⋊C₄	C₂²×C₄	1	1	yes	characteristic
577	Dic₄₃⋊C₄	C₂²×C₄	1	1	yes	characteristic
578	Dic₄₃⋊C₄	C₂²×C₄	1	1	yes	characteristic
579	Dic₄₃⋊C₄	C₂²×C₄	1	1	yes	characteristic
580	Dic₄₃⋊C₄	C₂²×C₄	1	1	yes	characteristic
581	C₄×Dic₄₃	C₂²×C₄	1	1	yes	characteristic
582	C₄×Dic₄₃	C₂²×C₄	1	1	yes	characteristic
583	C₄×Dic₄₃	C₂⁴	1	1	yes	characteristic
584	C₄×Dic₄₃	C₂⁴	1	1	yes	characteristic
585	#10621877	—	2	2	no	—
586	#10621877	—	2	2	no	—
587	#10621877	—	2	2	no	—
588	#10621877	—	2	2	no	—
589	#10621877	—	4	2	no	—
590	#10621877	—	4	2	no	—
591	C₂×C₄₃⋊C₈	—	4	2	no	—
592	C₂×C₄₃⋊C₈	—	4	2	no	—
593	C₂×C₄₃⋊C₈	C₂⁴	1	2	yes	—
594	C₂×C₄₃⋊C₈	C₂⁴	1	2	yes	—
595	C₂×C₄₃⋊C₈	C₂⁴	1	2	yes	—
596	C₂×C₄₃⋊C₈	C₂⁴	1	2	yes	—
597	#10621872	—	4	2	no	—
598	#10621872	—	4	2	no	—
599	#10621872	—	4	2	no	—
600	#10621872	—	4	2	no	—
601	C₈×D₄₃	—	4	2	no	—
602	C₈×D₄₃	—	4	2	no	—
603	C₈×D₄₃	—	4	2	no	—
604	C₈×D₄₃	—	4	2	no	—
605	C₂³×C₄₃	—	2	2	no	—
606	C₂³×C₄₃	—	2	2	no	—
607	C₂³×C₄₃	—	2	2	no	—
608	C₂³×C₄₃	—	4	1	no	—
609	C₂³×C₄₃	—	4	1	no	—
610	C₂³×C₄₃	—	4	1	no	—
611	C₂³×C₄₃	C₂³×C₄	1	1	yes	characteristic
612	C₂³×C₄₃	C₂³×C₄	1	1	yes	characteristic
613	C₂³×C₄₃	C₂³×C₄	1	1	yes	characteristic
614	C₂³×C₄₃	C₂³×C₄	1	1	yes	characteristic
615	C₂³×C₄₃	C₂³×C₄	1	1	yes	characteristic
616	C₂²×D₄₃	—	2	2	no	—
617	C₂²×D₄₃	—	2	2	no	—
618	C₂²×D₄₃	—	2	2	no	—
619	C₂²×D₄₃	—	2	2	no	—
620	C₂²×D₄₃	—	2	2	no	—
621	C₂²×D₄₃	—	2	2	no	—
622	C₂²×D₄₃	—	2	2	no	—
623	C₂²×D₄₃	—	2	2	no	—
624	C₂²×D₄₃	—	4	1	no	—
625	C₂²×D₄₃	—	4	1	no	—
626	C₂²×D₄₃	—	4	1	no	—
627	C₂²×D₄₃	—	4	1	no	—
628	C₂²×D₄₃	—	4	1	no	—
629	C₂²×D₄₃	—	4	1	no	—
630	C₂²×D₄₃	—	4	1	no	—
631	C₂²×D₄₃	—	4	1	no	—
632	C₂²×D₄₃	—	4	1	no	—
633	C₂²×D₄₃	—	4	1	no	—
634	C₂²×D₄₃	—	4	1	no	—
635	C₂²×D₄₃	—	4	1	no	—
636	C₂²×D₄₃	—	4	1	no	—
637	C₂²×D₄₃	—	4	16	no	—
638	C₂²×D₄₃	C₂³×C₄	1	1	yes	characteristic
639	C₂²×D₄₃	C₂³×C₄	1	1	yes	characteristic
640	C₂²×D₄₃	C₂³×C₄	1	1	yes	characteristic
641	C₂²×D₄₃	C₂³×C₄	1	1	yes	characteristic
642	C₂²×D₄₃	C₂³×C₄	1	1	yes	characteristic
643	C₂²×D₄₃	C₂³×C₄	1	1	yes	characteristic
644	D₄×C₄₃	—	2	2	no	—
645	D₄×C₄₃	—	2	2	no	—
646	D₄×C₄₃	—	4	1	no	—
647	D₄×C₄₃	—	4	1	no	—
648	C₂×C₄×C₄₃	—	2	2	no	—
649	C₂×C₄×C₄₃	—	2	2	no	—
650	C₂×C₄×C₄₃	—	2	2	no	—
651	C₂×C₄×C₄₃	—	2	2	no	—
652	C₂×C₄×C₄₃	—	2	2	no	—
653	C₂×C₄×C₄₃	—	2	2	no	—
654	C₂×C₄×C₄₃	—	2	1	no	—
655	C₂×C₄×C₄₃	—	2	1	no	—
656	C₂×C₄×C₄₃	—	2	1	no	—
657	C₂×C₄×C₄₃	—	2	1	no	—
658	C₂×C₄×C₄₃	—	2	1	no	—
659	C₂×C₄×C₄₃	—	2	1	no	—
660	C₂×C₄×C₄₃	—	2	1	no	—
661	C₂×C₄×C₄₃	—	2	1	no	—
662	C₂×C₄×C₄₃	—	4	1	no	—
663	C₂×C₄×C₄₃	—	4	1	no	—
664	C₂×C₄×C₄₃	C₂³×C₄	1	1	yes	characteristic
665	C₂×C₄×C₄₃	C₂³×C₄	1	1	yes	characteristic
666	C₂×C₄×C₄₃	C₂³×C₄	1	1	yes	characteristic
667	C₂×C₄×C₄₃	C₂³×C₄	1	1	yes	characteristic
668	C₂×C₄×C₄₃	C₂³×C₄	1	1	yes	characteristic
669	C₂×C₄×C₄₃	C₂³×C₄	1	1	yes	characteristic
670	C₂×C₄×C₄₃	C₂³×C₄	1	1	yes	characteristic
671	C₂×C₄×C₄₃	C₂³×C₄	1	1	yes	characteristic
672	C₂×C₄×C₄₃	C₂³×C₄	1	1	yes	characteristic
673	C₂×C₄×C₄₃	H(5,𝔽₂)	1	2	yes	—
674	C₂×C₄×C₄₃	H(5,𝔽₂)	1	2	yes	—
675	C₂×C₄×C₄₃	C₂⁵	1	1	yes	characteristic
676	C₂²⋊D₄₃	—	2	2	no	—
677	C₂²⋊D₄₃	—	2	2	no	—
678	C₂²⋊D₄₃	—	2	2	no	—
679	C₂²⋊D₄₃	—	2	2	no	—
680	C₂²⋊D₄₃	—	4	1	no	—
681	C₂²⋊D₄₃	—	4	1	no	—
682	C₂²⋊D₄₃	—	4	1	no	—
683	C₂²⋊D₄₃	—	4	1	no	—
684	C₂²⋊D₄₃	—	4	1	no	—
685	C₂²⋊D₄₃	—	4	1	no	—
686	C₂²⋊D₄₃	—	4	1	no	—
687	C₂²⋊D₄₃	—	4	1	no	—
688	C₂²⋊D₄₃	—	4	1	no	—
689	C₂²⋊D₄₃	—	4	1	no	—
690	C₂²⋊D₄₃	—	4	1	no	—
691	C₂²⋊D₄₃	—	4	1	no	—
692	C₂×Dic₄₃	—	2	2	no	—
693	C₂×Dic₄₃	—	2	2	no	—
694	C₂×Dic₄₃	—	2	2	no	—
695	C₂×Dic₄₃	—	4	1	no	—
696	C₂×Dic₄₃	—	4	1	no	—
697	C₂×Dic₄₃	—	4	1	no	—
698	C₂×Dic₄₃	—	4	1	no	—
699	C₂×Dic₄₃	—	4	1	no	—
700	C₂×Dic₄₃	—	4	1	no	—
701	C₂×Dic₄₃	C₂³×C₄	1	1	yes	characteristic
702	C₂×Dic₄₃	C₂³×C₄	1	1	yes	characteristic
703	C₂×Dic₄₃	C₂³×C₄	1	1	yes	characteristic
704	C₂×Dic₄₃	C₂³×C₄	1	1	yes	characteristic
705	C₂×Dic₄₃	C₂³×C₄	1	1	yes	characteristic
706	C₂×Dic₄₃	C₂³×C₄	1	1	yes	characteristic
707	C₂×Dic₄₃	C₂³×C₄	1	1	yes	characteristic
708	C₂×Dic₄₃	C₂³×C₄	1	1	yes	characteristic
709	C₂×Dic₄₃	C₂³×C₄	1	1	yes	characteristic
710	C₂×Dic₄₃	C₂³×C₄	1	1	yes	characteristic
711	D₁₇₂	—	2	2	no	—
712	D₁₇₂	—	2	2	no	—
713	D₁₇₂	—	4	1	no	—
714	D₁₇₂	—	4	1	no	—
715	D₁₇₂	—	4	1	no	—
716	D₁₇₂	—	4	1	no	—
717	D₁₇₂	—	4	1	no	—
718	D₁₇₂	—	4	1	no	—
719	C₄×D₄₃	—	2	2	no	—
720	C₄×D₄₃	—	2	2	no	—
721	C₄×D₄₃	—	2	2	no	—
722	C₄×D₄₃	—	2	2	no	—
723	C₄×D₄₃	—	2	2	no	—
724	C₄×D₄₃	—	2	2	no	—
725	C₄×D₄₃	—	2	1	no	—
726	C₄×D₄₃	—	2	1	no	—
727	C₄×D₄₃	—	2	1	no	—
728	C₄×D₄₃	—	2	1	no	—
729	C₄×D₄₃	—	2	1	no	—
730	C₄×D₄₃	—	2	1	no	—
731	C₄×D₄₃	—	2	1	no	—
732	C₄×D₄₃	—	2	1	no	—
733	C₄×D₄₃	—	2	1	no	—
734	C₄×D₄₃	—	2	1	no	—
735	C₄×D₄₃	—	2	1	no	—
736	C₄×D₄₃	—	2	1	no	—
737	C₄×D₄₃	—	4	1	no	—
738	C₄×D₄₃	—	4	1	no	—
739	C₄×D₄₃	—	4	1	no	—
740	C₄×D₄₃	—	4	1	no	—
741	C₄×D₄₃	—	4	1	no	—
742	C₄×D₄₃	—	4	1	no	—
743	C₄×D₄₃	—	4	1	no	—
744	C₄×D₄₃	—	4	1	no	—
745	Dic₈₆	—	4	1	no	—
746	Dic₈₆	—	4	1	no	—
747	Dic₈₆	—	4	1	no	—
748	Dic₈₆	—	4	1	no	—
749	C₈×C₄₃	—	2	2	no	—
750	C₈×C₄₃	—	2	2	no	—
751	C₈×C₄₃	—	2	2	no	—
752	C₈×C₄₃	—	2	2	no	—
753	C₄₃⋊C₈	—	2	2	no	—
754	C₄₃⋊C₈	—	2	2	no	—
755	C₄₃⋊C₈	—	2	2	no	—
756	C₄₃⋊C₈	—	2	2	no	—
757	#60231	—	43	1	no	maximal, Sylow
758	C₂²×C₄₃	—	2	1	no	—
759	C₂²×C₄₃	—	2	1	no	—
760	C₂²×C₄₃	—	2	1	no	—
761	C₂²×C₄₃	—	2	1	no	—
762	C₂²×C₄₃	—	2	1	no	—
763	C₂²×C₄₃	—	2	1	no	—
764	C₂²×C₄₃	—	2	1	no	—
765	C₂²×C₄₃	—	2	1	no	—
766	C₂²×C₄₃	—	2	1	no	—
767	C₂²×C₄₃	—	2	1	no	—
768	C₂²×C₄₃	—	2	1	no	—
769	C₂²×C₄₃	—	2	1	no	—
770	C₂²×C₄₃	—	2	1	no	—
771	C₂²×C₄₃	—	4	4	no	—
772	C₂²×C₄₃	—	8	2	no	—
773	C₂²×C₄₃	#518	1	2	yes	—
774	C₂²×C₄₃	#568	1	2	yes	—
775	C₂²×C₄₃	C₂⁴×C₄	1	1	yes	characteristic
776	C₂×D₄₃	—	2	1	no	—
777	C₂×D₄₃	—	2	1	no	—
778	C₂×D₄₃	—	2	1	no	—
779	C₂×D₄₃	—	2	1	no	—
780	C₂×D₄₃	—	2	1	no	—
781	C₂×D₄₃	—	2	1	no	—
782	C₂×D₄₃	—	2	1	no	—
783	C₂×D₄₃	—	2	1	no	—
784	C₂×D₄₃	—	2	1	no	—
785	C₂×D₄₃	—	2	1	no	—
786	C₂×D₄₃	—	2	1	no	—
787	C₂×D₄₃	—	2	1	no	—
788	C₂×D₄₃	—	2	1	no	—
789	C₂×D₄₃	—	2	1	no	—
790	C₂×D₄₃	—	2	1	no	—
791	C₂×D₄₃	—	2	1	no	—
792	C₂×D₄₃	—	2	1	no	—
793	C₂×D₄₃	—	4	4	no	—
794	C₂×D₄₃	—	4	4	no	—
795	C₂×D₄₃	—	4	4	no	—
796	C₂×D₄₃	—	4	4	no	—
797	C₂×D₄₃	—	4	4	no	—
798	C₂×D₄₃	—	4	4	no	—
799	C₂×D₄₃	—	8	2	no	—
800	C₂×D₄₃	#568	1	2	yes	—
801	C₄×C₄₃	—	2	1	no	—
802	C₄×C₄₃	—	2	1	no	—
803	C₄×C₄₃	—	2	1	no	—
804	C₄×C₄₃	—	2	1	no	—
805	C₄×C₄₃	—	2	1	no	—
806	C₄×C₄₃	—	2	1	no	—
807	C₄×C₄₃	—	2	1	no	—
808	C₄×C₄₃	—	2	1	no	—
809	C₄×C₄₃	#518	1	2	yes	—
810	C₄×C₄₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
811	C₄×C₄₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
812	Dic₄₃	—	2	1	no	—
813	Dic₄₃	—	2	1	no	—
814	Dic₄₃	—	2	1	no	—
815	Dic₄₃	—	2	1	no	—
816	Dic₄₃	—	2	1	no	—
817	Dic₄₃	—	2	1	no	—
818	Dic₄₃	—	2	1	no	—
819	Dic₄₃	—	2	1	no	—
820	Dic₄₃	—	2	1	no	—
821	Dic₄₃	—	2	1	no	—
822	C₂×#525	—	43	1	no	—
823	#2978	—	43	2	no	—
824	#2978	—	43	2	no	—
825	#2977	—	43	2	no	—
826	#2977	—	43	2	no	—
827	#2976	—	43	2	no	—
828	#2976	—	43	2	no	—
829	#2976	—	43	2	no	—
830	#2976	—	43	2	no	—
831	D₄×M₁₆	—	43	1	no	—
832	D₄×M₁₆	—	43	1	no	—
833	D₄×M₁₆	—	43	1	no	—
834	D₄×M₁₆	—	43	1	no	—
835	D₄×M₁₆	—	43	1	no	—
836	D₄×M₁₆	—	43	1	no	—
837	D₄×M₁₆	—	43	1	no	—
838	D₄×M₁₆	D₄₃	1	1	yes	characteristic, complemented
839	#2921	—	43	1	no	—
840	#2921	—	43	1	no	—
841	#2879	—	43	1	no	—
842	#2879	—	43	1	no	—
843	C₂×#407	—	43	1	no	—
844	C₂×#407	—	43	1	no	—
845	C₂×C₄₃	—	2	2	no	—
846	C₂×C₄₃	—	2	2	no	—
847	C₂×C₄₃	—	4	1	no	—
848	C₂×C₄₃	—	4	1	no	—
849	C₂×C₄₃	—	4	1	no	—
850	C₂×C₄₃	C₂×#518	1	1	yes	characteristic
851	C₂×C₄₃	C₂×#568	1	1	yes	characteristic
852	C₂×C₄₃	C₂×#568	1	1	yes	characteristic
853	D₄₃	—	2	2	no	—
854	D₄₃	—	4	1	no	—
855	D₄₃	—	4	1	no	—
856	D₄₃	—	4	1	no	—
857	D₄₃	—	4	1	no	—
858	D₄₃	—	4	1	no	—
859	C₂²×#41	—	43	1	no	—
860	C₂⁴×C₄	—	43	1	no	—
861	C₂²×M₁₆	—	43	1	no	—
862	C₂²×M₁₆	—	43	1	no	—
863	C₂²×M₁₆	—	43	1	no	—
864	C₂²×M₁₆	—	43	1	no	—
865	C₂²×M₁₆	—	43	1	no	—
866	C₂²×M₁₆	—	43	1	no	—
867	C₂²×M₁₆	C₂×D₄₃	1	1	yes	characteristic
868	C₂²×M₁₆	C₂×D₄₃	1	1	yes	characteristic, complemented
869	#525	—	43	1	no	—
870	#525	—	43	1	no	—
871	#525	—	43	1	no	—
872	#525	—	43	1	no	—
873	#525	—	43	1	no	—
874	#525	—	43	1	no	—
875	#525	—	43	1	no	—
876	#525	—	43	1	no	—
877	#525	—	43	1	no	—
878	#525	—	43	1	no	—
879	#525	—	43	1	no	—
880	#525	—	43	1	no	—
881	#525	—	43	1	no	—
882	#525	—	43	1	no	—
883	#525	—	43	1	no	—
884	#525	—	43	1	no	—
885	C₂×#123	—	43	1	no	—
886	C₂×#123	—	43	1	no	—
887	C₂×C₂²⋊Q₈	—	43	1	no	—
888	C₂×C₂²⋊Q₈	—	43	1	no	—
889	C₂×#121	—	43	1	no	—
890	C₂×#121	—	43	1	no	—
891	C₂×#120	—	43	1	no	—
892	C₂×#120	—	43	1	no	—
893	C₂×C₄×D₄	—	43	1	no	—
894	C₂×C₄×D₄	—	43	1	no	—
895	C₂×C₄×D₄	—	43	1	no	—
896	C₂×C₄×D₄	C₂×D₄₃	1	1	yes	characteristic
897	C₂×#117	—	43	1	no	—
898	#436	—	43	2	no	—
899	#436	—	43	2	no	—
900	#436	—	43	2	no	—
901	#436	—	43	2	no	—
902	#436	—	43	2	no	—
903	#436	—	43	2	no	—
904	#436	—	43	2	no	—
905	#436	C₂×D₄₃	1	2	yes	complemented
906	#435	—	43	2	no	—
907	#435	—	43	2	no	—
908	#435	—	43	2	no	—
909	#435	—	43	2	no	—
910	#435	—	43	2	no	—
911	#435	—	43	2	no	—
912	#435	—	43	2	no	—
913	#435	—	43	2	no	—
914	#435	—	43	2	no	—
915	#435	—	43	2	no	—
916	#435	—	43	2	no	—
917	#435	—	43	2	no	—
918	#435	—	43	2	no	—
919	#435	—	43	2	no	—
920	#435	C₂×D₄₃	1	2	yes	complemented
921	#435	C₂×D₄₃	1	2	yes	complemented
922	C₈×D₄	—	43	2	no	—
923	C₈×D₄	—	43	2	no	—
924	C₈×D₄	—	43	2	no	—
925	C₈×D₄	—	43	2	no	—
926	C₈×D₄	—	43	2	no	—
927	C₈×D₄	—	43	2	no	—
928	C₈×D₄	—	43	2	no	—
929	C₈×D₄	C₂×D₄₃	1	2	yes	complemented
930	#433	—	43	2	no	—
931	#433	—	43	2	no	—
932	#433	—	43	2	no	—
933	#433	—	43	2	no	—
934	#433	—	43	2	no	—
935	#433	—	43	2	no	—
936	#433	—	43	2	no	—
937	#433	—	43	2	no	—
938	#423	—	43	1	no	—
939	#423	—	43	1	no	—
940	#423	—	43	1	no	—
941	#423	C₂×D₄₃	1	1	yes	characteristic, complemented
942	#408	—	43	2	no	—
943	#408	—	43	2	no	—
944	#408	—	43	2	no	—
945	#408	—	43	2	no	—
946	#408	—	43	2	no	—
947	#408	—	43	2	no	—
948	#408	—	43	2	no	—
949	#408	—	43	2	no	—
950	#407	—	43	1	no	—
951	#407	—	43	1	no	—
952	#407	—	43	1	no	—
953	#407	—	43	1	no	—
954	#407	—	43	1	no	—
955	#407	—	43	1	no	—
956	#407	—	43	1	no	—
957	#407	—	43	1	no	—
958	#407	—	43	2	no	—
959	#407	—	43	2	no	—
960	#407	—	43	1	no	—
961	#407	—	43	1	no	—
962	#407	—	43	2	no	—
963	#407	—	43	2	no	—
964	#407	C₂×D₄₃	1	1	yes	characteristic
965	#407	C₂×D₄₃	1	1	yes	characteristic, complemented
966	C₂×C₂²⋊C₈	—	43	2	no	—
967	C₂×C₂²⋊C₈	—	43	2	no	—
968	C₂×C₂²⋊C₈	—	43	2	no	—
969	C₂×C₂²⋊C₈	—	43	2	no	—
970	C₄×M₁₆	—	43	1	no	—
971	C₄×M₁₆	—	43	1	no	—
972	C₄×M₁₆	—	43	1	no	—
973	C₄×M₁₆	C₂×D₄₃	1	1	yes	characteristic, complemented
974	C₄₃	#60231	1	1	yes	characteristic, complemented, Sylow
975	C₂⁵	—	43	1	no	—
976	C₂×#41	—	43	1	no	—
977	C₂×#41	—	43	1	no	—
978	C₂×#41	—	43	1	no	—
979	C₂×#41	—	43	1	no	—
980	C₂×#41	—	43	1	no	—
981	C₂×#41	—	43	1	no	—
982	C₂×#41	—	43	1	no	—
983	C₂×#41	—	43	1	no	—
984	C₂×#41	—	172	2	no	—
985	C₂×#41	—	172	2	no	—
986	C₂²×Q₈	—	43	1	no	—
987	C₂²×D₄	—	43	1	no	—
988	C₂²×D₄	—	43	1	no	—
989	C₂²×D₄	—	43	1	no	—
990	C₂²×D₄	—	43	1	no	—
991	C₂²×D₄	—	43	1	no	—
992	C₂²×D₄	—	43	1	no	—
993	C₂²×D₄	C₄×D₄₃	1	1	yes	characteristic
994	C₂³×C₄	—	43	1	no	—
995	C₂³×C₄	—	43	1	no	—
996	C₂³×C₄	—	43	1	no	—
997	C₂³×C₄	—	43	1	no	—
998	C₂³×C₄	—	43	1	no	—
999	C₂³×C₄	—	43	1	no	—
1000	C₂³×C₄	—	43	1	no	—
1001	C₂³×C₄	—	43	1	no	—
1002	C₂³×C₄	—	43	1	no	—
1003	C₂³×C₄	—	43	1	no	—
1004	C₂³×C₄	—	43	1	no	—
1005	C₂³×C₄	—	43	1	no	—
1006	C₂³×C₄	—	43	1	no	—
1007	C₂³×C₄	—	43	1	no	—
1008	C₂³×C₄	—	172	2	no	—
1009	C₂³×C₄	—	172	2	no	—
1010	C₂³×C₄	C₂²×D₄₃	1	1	yes	characteristic
1011	C₂³×C₄	C₂²×D₄₃	1	1	yes	characteristic
1012	C₂×M₁₆	—	4	2	no	—
1013	C₂×M₁₆	—	4	2	no	—
1014	C₂×M₁₆	—	43	1	no	—
1015	C₂×M₁₆	—	43	1	no	—
1016	C₂×M₁₆	—	43	1	no	—
1017	C₂×M₁₆	—	43	1	no	—
1018	C₂×M₁₆	—	43	2	no	—
1019	C₂×M₁₆	—	43	2	no	—
1020	C₂×M₁₆	—	43	2	no	—
1021	C₂×M₁₆	—	43	2	no	—
1022	C₂×M₁₆	—	43	2	no	—
1023	C₂×M₁₆	—	43	2	no	—
1024	C₂×M₁₆	—	172	2	no	—
1025	C₂×M₁₆	—	172	2	no	—
1026	C₂×M₁₆	—	172	2	no	—
1027	C₂×M₁₆	—	172	2	no	—
1028	C₂×M₁₆	—	172	2	no	—
1029	C₂×M₁₆	—	172	2	no	—
1030	C₂×M₁₆	C₂²×D₄₃	1	1	yes	characteristic
1031	C₂×M₁₆	C₂²×D₄₃	1	1	yes	characteristic
1032	C₂×M₁₆	C₂²×D₄₃	1	1	yes	characteristic
1033	C₂×M₁₆	C₂²×D₄₃	1	1	yes	characteristic
1034	C₂×M₁₆	C₂²×D₄₃	1	2	yes	—
1035	C₂×M₁₆	C₂²×D₄₃	1	2	yes	complemented
1036	C₂²×C₈	—	43	2	no	—
1037	C₂²×C₈	—	43	2	no	—
1038	C₂²×C₈	—	43	2	no	—
1039	C₂²×C₈	—	43	2	no	—
1040	C₂²×C₈	—	43	2	no	—
1041	C₂²×C₈	—	43	2	no	—
1042	C₂²×C₈	C₂²×D₄₃	1	2	yes	—
1043	C₂²×C₈	C₂²×D₄₃	1	2	yes	complemented
1044	#123	—	43	1	no	—
1045	#123	—	43	1	no	—
1046	#123	—	43	1	no	—
1047	#123	—	43	1	no	—
1048	#123	—	43	1	no	—
1049	#123	—	43	1	no	—
1050	#123	—	43	1	no	—
1051	#123	—	43	1	no	—
1052	#123	—	43	1	no	—
1053	#123	—	43	1	no	—
1054	#123	—	43	1	no	—
1055	#123	—	43	1	no	—
1056	#123	—	43	1	no	—
1057	#123	—	43	1	no	—
1058	#123	—	43	1	no	—
1059	#123	—	43	1	no	—
1060	C₂²⋊Q₈	—	43	1	no	—
1061	C₂²⋊Q₈	—	43	1	no	—
1062	C₂²⋊Q₈	—	43	1	no	—
1063	C₂²⋊Q₈	—	43	1	no	—
1064	C₂²⋊Q₈	—	43	1	no	—
1065	C₂²⋊Q₈	—	43	1	no	—
1066	C₂²⋊Q₈	—	43	1	no	—
1067	C₂²⋊Q₈	—	43	1	no	—
1068	C₂²⋊Q₈	—	43	1	no	—
1069	C₂²⋊Q₈	—	43	1	no	—
1070	C₂²⋊Q₈	—	43	1	no	—
1071	C₂²⋊Q₈	—	43	1	no	—
1072	C₂²⋊Q₈	—	43	1	no	—
1073	C₂²⋊Q₈	—	43	1	no	—
1074	C₂²⋊Q₈	—	43	1	no	—
1075	C₂²⋊Q₈	—	43	1	no	—
1076	#121	—	43	1	no	—
1077	#121	—	43	1	no	—
1078	#121	—	43	1	no	—
1079	#121	—	43	1	no	—
1080	#121	—	43	1	no	—
1081	#121	—	43	1	no	—
1082	#121	—	43	1	no	—
1083	#121	—	43	1	no	—
1084	#121	—	43	1	no	—
1085	#121	—	43	1	no	—
1086	#121	—	43	1	no	—
1087	#121	—	43	1	no	—
1088	#121	—	43	1	no	—
1089	#121	—	43	1	no	—
1090	#121	—	43	1	no	—
1091	#121	—	43	1	no	—
1092	#120	—	43	1	no	—
1093	#120	—	43	1	no	—
1094	#120	—	43	1	no	—
1095	#120	—	43	1	no	—
1096	#120	—	43	1	no	—
1097	#120	—	43	1	no	—
1098	#120	—	43	1	no	—
1099	#120	—	43	1	no	—
1100	#120	—	43	1	no	—
1101	#120	—	43	1	no	—
1102	#120	—	43	1	no	—
1103	#120	—	43	1	no	—
1104	#120	—	43	1	no	—
1105	#120	—	43	1	no	—
1106	#120	—	43	1	no	—
1107	#120	—	43	1	no	—
1108	C₄×D₄	—	43	1	no	—
1109	C₄×D₄	—	43	1	no	—
1110	C₄×D₄	—	43	1	no	—
1111	C₄×D₄	—	43	1	no	—
1112	C₄×D₄	—	43	1	no	—
1113	C₄×D₄	—	43	1	no	—
1114	C₄×D₄	—	43	1	no	—
1115	C₄×D₄	—	43	1	no	—
1116	C₄×D₄	—	43	1	no	—
1117	C₄×D₄	—	43	1	no	—
1118	C₄×D₄	—	43	1	no	—
1119	C₄×D₄	—	43	1	no	—
1120	C₄×D₄	—	43	1	no	—
1121	C₄×D₄	—	43	1	no	—
1122	C₄×D₄	—	43	1	no	—
1123	C₄×D₄	—	43	1	no	—
1124	C₄×D₄	—	43	1	no	—
1125	C₄×D₄	—	43	1	no	—
1126	C₄×D₄	—	43	1	no	—
1127	C₄×D₄	—	43	1	no	—
1128	C₄×D₄	—	43	1	no	—
1129	C₄×D₄	—	43	1	no	—
1130	C₄×D₄	—	43	1	no	—
1131	C₄×D₄	—	43	1	no	—
1132	C₄×D₄	C₄×D₄₃	1	1	yes	characteristic
1133	C₄×D₄	C₄×D₄₃	1	1	yes	characteristic
1134	C₄×D₄	C₄×D₄₃	1	1	yes	characteristic
1135	C₄×D₄	C₄×D₄₃	1	1	yes	characteristic
1136	C₄×D₄	C₂²×D₄₃	1	1	yes	characteristic
1137	C₄×D₄	C₂²×D₄₃	1	1	yes	characteristic
1138	C₄×D₄	C₂²×D₄₃	1	1	yes	characteristic
1139	C₄×D₄	C₂²×D₄₃	1	1	yes	characteristic
1140	#117	—	43	1	no	—
1141	#117	—	43	1	no	—
1142	#117	—	43	1	no	—
1143	#117	—	43	1	no	—
1144	#117	—	43	1	no	—
1145	#117	—	43	1	no	—
1146	#117	—	43	1	no	—
1147	#117	—	43	1	no	—
1148	C₂×C₄⋊C₄	—	43	1	no	—
1149	C₂×C₄⋊C₄	—	43	1	no	—
1150	C₂×C₄⋊C₄	—	43	1	no	—
1151	C₂×C₄⋊C₄	—	43	1	no	—
1152	C₂×C₄⋊C₄	—	43	1	no	—
1153	C₂×C₄⋊C₄	C₄×D₄₃	1	1	yes	characteristic
1154	C₂×C₂²⋊C₄	—	43	1	no	—
1155	C₂×C₂²⋊C₄	—	43	1	no	—
1156	C₂×C₂²⋊C₄	—	43	1	no	—
1157	C₂×C₂²⋊C₄	—	43	1	no	—
1158	C₂×C₂²⋊C₄	—	43	1	no	—
1159	C₂×C₂²⋊C₄	—	43	1	no	—
1160	C₂×C₂²⋊C₄	—	43	1	no	—
1161	C₂×C₂²⋊C₄	—	43	1	no	—
1162	C₂×C₂²⋊C₄	C₄×D₄₃	1	1	yes	characteristic
1163	C₂×C₂²⋊C₄	C₄×D₄₃	1	1	yes	characteristic
1164	C₂×C₄²	—	43	1	no	—
1165	C₂×C₄²	C₂²×D₄₃	1	1	yes	characteristic
1166	C₄⋊C₈	—	43	2	no	—
1167	C₄⋊C₈	—	43	2	no	—
1168	C₄⋊C₈	—	43	2	no	—
1169	C₄⋊C₈	—	43	2	no	—
1170	C₄⋊C₈	—	43	2	no	—
1171	C₄⋊C₈	—	43	2	no	—
1172	C₄⋊C₈	C₂²×D₄₃	1	2	yes	complemented
1173	C₄⋊C₈	C₂²×D₄₃	1	2	yes	complemented
1174	C₂²⋊C₈	—	43	2	no	—
1175	C₂²⋊C₈	—	43	2	no	—
1176	C₂²⋊C₈	—	43	2	no	—
1177	C₂²⋊C₈	—	43	2	no	—
1178	C₂²⋊C₈	—	43	2	no	—
1179	C₂²⋊C₈	—	43	2	no	—
1180	C₂²⋊C₈	—	43	2	no	—
1181	C₂²⋊C₈	—	43	2	no	—
1182	C₂²⋊C₈	—	43	2	no	—
1183	C₂²⋊C₈	—	43	2	no	—
1184	C₂²⋊C₈	—	43	2	no	—
1185	C₂²⋊C₈	—	43	2	no	—
1186	C₂²⋊C₈	—	43	2	no	—
1187	C₂²⋊C₈	—	43	2	no	—
1188	C₂²⋊C₈	—	43	2	no	—
1189	C₂²⋊C₈	—	43	2	no	—
1190	C₂²⋊C₈	—	43	2	no	—
1191	C₂²⋊C₈	—	43	2	no	—
1192	C₂²⋊C₈	—	43	2	no	—
1193	C₂²⋊C₈	—	43	2	no	—
1194	C₂²⋊C₈	C₂²×D₄₃	1	2	yes	—
1195	C₂²⋊C₈	C₂²×D₄₃	1	2	yes	—
1196	C₂²⋊C₈	C₂²×D₄₃	1	2	yes	complemented
1197	C₂²⋊C₈	C₂²×D₄₃	1	2	yes	complemented
1198	#97	—	43	2	no	—
1199	#97	—	43	2	no	—
1200	#97	—	43	2	no	—
1201	#97	C₂²×D₄₃	1	2	yes	complemented
1202	C₄×C₈	—	43	2	no	—
1203	C₄×C₈	—	43	2	no	—
1204	C₄×C₈	—	43	2	no	—
1205	C₄×C₈	C₂²×D₄₃	1	2	yes	complemented
1206	C₂⁴	—	43	1	no	—
1207	C₂⁴	—	43	1	no	—
1208	C₂⁴	—	43	1	no	—
1209	C₂⁴	—	43	1	no	—
1210	C₂⁴	—	43	1	no	—
1211	C₂⁴	—	43	1	no	—
1212	C₂⁴	—	43	1	no	—
1213	C₂⁴	—	172	2	no	—
1214	C₂⁴	—	172	2	no	—
1215	C₂⁴	—	172	2	no	—
1216	C₂⁴	C₂×C₄×D₄₃	1	1	yes	characteristic
1217	C₂⁴	C₂×C₄×D₄₃	1	1	yes	characteristic
1218	#41	—	172	2	no	—
1219	#41	—	172	2	no	—
1220	#41	—	172	2	no	—
1221	#41	—	172	2	no	—
1222	#41	—	172	1	no	—
1223	#41	—	172	1	no	—
1224	#41	—	172	1	no	—
1225	#41	—	172	1	no	—
1226	#41	—	172	1	no	—
1227	#41	—	172	1	no	—
1228	#41	—	172	1	no	—
1229	#41	—	172	1	no	—
1230	C₂×Q₈	—	43	1	no	—
1231	C₂×Q₈	—	43	1	no	—
1232	C₂×Q₈	—	43	1	no	—
1233	C₂×Q₈	—	43	1	no	—
1234	C₂×Q₈	—	172	2	no	—
1235	C₂×D₄	—	4	2	no	—
1236	C₂×D₄	—	43	1	no	—
1237	C₂×D₄	—	43	1	no	—
1238	C₂×D₄	—	43	1	no	—
1239	C₂×D₄	—	43	1	no	—
1240	C₂×D₄	—	43	1	no	—
1241	C₂×D₄	—	43	1	no	—
1242	C₂×D₄	—	43	1	no	—
1243	C₂×D₄	—	43	1	no	—
1244	C₂×D₄	—	43	1	no	—
1245	C₂×D₄	—	43	1	no	—
1246	C₂×D₄	—	43	1	no	—
1247	C₂×D₄	—	43	1	no	—
1248	C₂×D₄	—	43	1	no	—
1249	C₂×D₄	—	43	1	no	—
1250	C₂×D₄	—	43	1	no	—
1251	C₂×D₄	—	43	1	no	—
1252	C₂×D₄	—	43	1	no	—
1253	C₂×D₄	—	43	1	no	—
1254	C₂×D₄	—	43	1	no	—
1255	C₂×D₄	—	43	1	no	—
1256	C₂×D₄	—	43	1	no	—
1257	C₂×D₄	—	43	1	no	—
1258	C₂×D₄	—	43	1	no	—
1259	C₂×D₄	—	43	1	no	—
1260	C₂×D₄	—	172	2	no	—
1261	C₂×D₄	—	172	2	no	—
1262	C₂×D₄	—	172	2	no	—
1263	C₂×D₄	—	172	2	no	—
1264	C₂×D₄	—	172	2	no	—
1265	C₂×D₄	—	172	2	no	—
1266	C₂×D₄	C₂×C₄×D₄₃	1	1	yes	characteristic
1267	C₂×D₄	C₂×C₄×D₄₃	1	1	yes	characteristic
1268	C₂×D₄	C₂×C₄×D₄₃	1	1	yes	characteristic
1269	C₂×D₄	C₂×C₄×D₄₃	1	1	yes	characteristic
1270	C₂²×C₄	—	2	2	no	—
1271	C₂²×C₄	—	2	2	no	—
1272	C₂²×C₄	—	2	2	no	—
1273	C₂²×C₄	—	2	2	no	—
1274	C₂²×C₄	—	43	1	no	—
1275	C₂²×C₄	—	43	1	no	—
1276	C₂²×C₄	—	43	1	no	—
1277	C₂²×C₄	—	43	1	no	—
1278	C₂²×C₄	—	43	1	no	—
1279	C₂²×C₄	—	43	1	no	—
1280	C₂²×C₄	—	43	1	no	—
1281	C₂²×C₄	—	43	1	no	—
1282	C₂²×C₄	—	43	1	no	—
1283	C₂²×C₄	—	43	1	no	—
1284	C₂²×C₄	—	43	1	no	—
1285	C₂²×C₄	—	43	1	no	—
1286	C₂²×C₄	—	43	1	no	—
1287	C₂²×C₄	—	43	1	no	—
1288	C₂²×C₄	—	43	1	no	—
1289	C₂²×C₄	—	43	1	no	—
1290	C₂²×C₄	—	43	1	no	—
1291	C₂²×C₄	—	43	1	no	—
1292	C₂²×C₄	—	43	1	no	—
1293	C₂²×C₄	—	43	1	no	—
1294	C₂²×C₄	—	43	1	no	—
1295	C₂²×C₄	—	43	1	no	—
1296	C₂²×C₄	—	43	1	no	—
1297	C₂²×C₄	—	43	1	no	—
1298	C₂²×C₄	—	43	1	no	—
1299	C₂²×C₄	—	43	1	no	—
1300	C₂²×C₄	—	43	1	no	—
1301	C₂²×C₄	—	43	1	no	—
1302	C₂²×C₄	—	43	1	no	—
1303	C₂²×C₄	—	86	2	no	—
1304	C₂²×C₄	—	86	2	no	—
1305	C₂²×C₄	—	86	2	no	—
1306	C₂²×C₄	—	86	2	no	—
1307	C₂²×C₄	—	86	2	no	—
1308	C₂²×C₄	—	86	2	no	—
1309	C₂²×C₄	—	172	2	no	—
1310	C₂²×C₄	—	172	2	no	—
1311	C₂²×C₄	—	172	2	no	—
1312	C₂²×C₄	—	172	2	no	—
1313	C₂²×C₄	—	172	1	no	—
1314	C₂²×C₄	—	172	1	no	—
1315	C₂²×C₄	—	172	1	no	—
1316	C₂²×C₄	—	172	1	no	—
1317	C₂²×C₄	—	172	1	no	—
1318	C₂²×C₄	—	172	1	no	—
1319	C₂²×C₄	—	172	1	no	—
1320	C₂²×C₄	—	172	1	no	—
1321	C₂²×C₄	—	172	2	no	—
1322	C₂²×C₄	—	172	2	no	—
1323	C₂²×C₄	—	172	2	no	—
1324	C₂²×C₄	C₂×C₄×D₄₃	1	1	yes	characteristic
1325	C₂²×C₄	C₂×C₄×D₄₃	1	1	yes	characteristic
1326	C₂²×C₄	C₂×C₄×D₄₃	1	1	yes	characteristic
1327	C₂²×C₄	C₂×C₄×D₄₃	1	1	yes	characteristic
1328	C₂²×C₄	C₂×C₄×D₄₃	1	1	yes	characteristic
1329	C₂²×C₄	C₂×C₄×D₄₃	1	1	yes	characteristic
1330	C₂²×C₄	C₂×C₄×D₄₃	1	1	yes	characteristic
1331	C₂²×C₄	C₂×C₄×D₄₃	1	1	yes	characteristic
1332	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
1333	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
1334	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
1335	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
1336	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
1337	M₁₆	—	2	2	no	—
1338	M₁₆	—	2	2	no	—
1339	M₁₆	—	2	2	no	—
1340	M₁₆	—	2	2	no	—
1341	M₁₆	—	4	2	no	—
1342	M₁₆	—	4	2	no	—
1343	M₁₆	—	86	2	no	—
1344	M₁₆	—	86	2	no	—
1345	M₁₆	—	86	2	no	—
1346	M₁₆	—	86	2	no	—
1347	M₁₆	—	172	2	no	—
1348	M₁₆	—	172	2	no	—
1349	M₁₆	—	172	2	no	—
1350	M₁₆	—	172	2	no	—
1351	M₁₆	—	172	2	no	—
1352	M₁₆	—	172	2	no	—
1353	C₂×C₈	—	4	2	no	—
1354	C₂×C₈	—	4	2	no	—
1355	C₂×C₈	—	43	2	no	—
1356	C₂×C₈	—	43	2	no	—
1357	C₂×C₈	—	43	2	no	—
1358	C₂×C₈	—	43	2	no	—
1359	C₂×C₈	—	172	2	no	—
1360	C₂×C₈	—	172	2	no	—
1361	C₂×C₈	—	172	2	no	—
1362	C₂×C₈	—	172	2	no	—
1363	C₂×C₈	—	172	2	no	—
1364	C₂×C₈	—	172	2	no	—
1365	C₂×C₈	C₂³×D₄₃	1	2	yes	—
1366	C₂×C₈	C₂³×D₄₃	1	2	yes	—
1367	C₂×C₈	C₂³×D₄₃	1	2	yes	—
1368	C₂×C₈	C₂³×D₄₃	1	2	yes	—
1369	C₄⋊C₄	—	43	1	no	—
1370	C₄⋊C₄	—	43	1	no	—
1371	C₄⋊C₄	—	43	1	no	—
1372	C₄⋊C₄	—	43	1	no	—
1373	C₄⋊C₄	—	43	1	no	—
1374	C₄⋊C₄	—	43	1	no	—
1375	C₄⋊C₄	—	43	1	no	—
1376	C₄⋊C₄	—	43	1	no	—
1377	C₄⋊C₄	—	43	1	no	—
1378	C₄⋊C₄	—	43	1	no	—
1379	C₄⋊C₄	—	43	1	no	—
1380	C₄⋊C₄	—	43	1	no	—
1381	C₄⋊C₄	—	43	1	no	—
1382	C₄⋊C₄	—	43	1	no	—
1383	C₄⋊C₄	—	43	1	no	—
1384	C₄⋊C₄	—	43	1	no	—
1385	C₄⋊C₄	—	43	1	no	—
1386	C₄⋊C₄	—	43	1	no	—
1387	C₄⋊C₄	—	43	1	no	—
1388	C₄⋊C₄	—	43	1	no	—
1389	C₄⋊C₄	C₂×C₄×D₄₃	1	1	yes	characteristic
1390	C₄⋊C₄	C₂×C₄×D₄₃	1	1	yes	characteristic
1391	C₄⋊C₄	C₂×C₄×D₄₃	1	1	yes	characteristic
1392	C₄⋊C₄	C₂×C₄×D₄₃	1	1	yes	characteristic
1393	C₂²⋊C₄	—	43	1	no	—
1394	C₂²⋊C₄	—	43	1	no	—
1395	C₂²⋊C₄	—	43	1	no	—
1396	C₂²⋊C₄	—	43	1	no	—
1397	C₂²⋊C₄	—	43	1	no	—
1398	C₂²⋊C₄	—	43	1	no	—
1399	C₂²⋊C₄	—	43	1	no	—
1400	C₂²⋊C₄	—	43	1	no	—
1401	C₂²⋊C₄	—	43	1	no	—
1402	C₂²⋊C₄	—	43	1	no	—
1403	C₂²⋊C₄	—	43	1	no	—
1404	C₂²⋊C₄	—	43	1	no	—
1405	C₂²⋊C₄	—	43	1	no	—
1406	C₂²⋊C₄	—	43	1	no	—
1407	C₂²⋊C₄	—	43	1	no	—
1408	C₂²⋊C₄	—	43	1	no	—
1409	C₂²⋊C₄	—	43	1	no	—
1410	C₂²⋊C₄	—	43	1	no	—
1411	C₂²⋊C₄	—	43	1	no	—
1412	C₂²⋊C₄	—	43	1	no	—
1413	C₂²⋊C₄	—	43	1	no	—
1414	C₂²⋊C₄	—	43	1	no	—
1415	C₂²⋊C₄	—	43	1	no	—
1416	C₂²⋊C₄	—	43	1	no	—
1417	C₂²⋊C₄	—	43	1	no	—
1418	C₂²⋊C₄	—	43	1	no	—
1419	C₂²⋊C₄	—	43	1	no	—
1420	C₂²⋊C₄	—	43	1	no	—
1421	C₂²⋊C₄	—	43	1	no	—
1422	C₂²⋊C₄	—	43	1	no	—
1423	C₂²⋊C₄	—	43	1	no	—
1424	C₂²⋊C₄	—	43	1	no	—
1425	C₂²⋊C₄	C₂×C₄×D₄₃	1	1	yes	characteristic
1426	C₂²⋊C₄	C₂×C₄×D₄₃	1	1	yes	characteristic
1427	C₂²⋊C₄	C₂×C₄×D₄₃	1	1	yes	characteristic
1428	C₂²⋊C₄	C₂×C₄×D₄₃	1	1	yes	characteristic
1429	C₂²⋊C₄	C₂×C₄×D₄₃	1	1	yes	characteristic
1430	C₂²⋊C₄	C₂×C₄×D₄₃	1	1	yes	characteristic
1431	C₂²⋊C₄	C₂×C₄×D₄₃	1	1	yes	characteristic
1432	C₂²⋊C₄	C₂×C₄×D₄₃	1	1	yes	characteristic
1433	C₄²	—	43	1	no	—
1434	C₄²	—	43	1	no	—
1435	C₄²	—	43	1	no	—
1436	C₄²	—	43	1	no	—
1437	C₄²	C₂×C₄×D₄₃	1	1	yes	characteristic
1438	C₄²	C₂×C₄×D₄₃	1	1	yes	characteristic
1439	C₄²	C₂³×D₄₃	1	1	yes	characteristic
1440	C₄²	C₂³×D₄₃	1	1	yes	characteristic
1441	C₂³	—	2	2	no	—
1442	C₂³	—	2	2	no	—
1443	C₂³	—	2	2	no	—
1444	C₂³	—	4	1	no	—
1445	C₂³	—	4	1	no	—
1446	C₂³	—	4	1	no	—
1447	C₂³	—	43	1	no	—
1448	C₂³	—	43	1	no	—
1449	C₂³	—	43	1	no	—
1450	C₂³	—	43	1	no	—
1451	C₂³	—	43	1	no	—
1452	C₂³	—	43	1	no	—
1453	C₂³	—	86	2	no	—
1454	C₂³	—	86	2	no	—
1455	C₂³	—	86	2	no	—
1456	C₂³	—	86	2	no	—
1457	C₂³	—	86	2	no	—
1458	C₂³	—	86	2	no	—
1459	C₂³	—	86	2	no	—
1460	C₂³	—	86	2	no	—
1461	C₂³	—	172	1	no	—
1462	C₂³	—	172	1	no	—
1463	C₂³	—	172	1	no	—
1464	C₂³	—	172	1	no	—
1465	C₂³	—	172	1	no	—
1466	C₂³	—	172	1	no	—
1467	C₂³	—	172	1	no	—
1468	C₂³	—	172	1	no	—
1469	C₂³	—	172	1	no	—
1470	C₂³	—	172	1	no	—
1471	C₂³	—	172	1	no	—
1472	C₂³	—	172	1	no	—
1473	C₂³	—	172	1	no	—
1474	C₂³	—	172	16	no	—
1475	C₂³	C₂²×C₄×D₄₃	1	1	yes	characteristic
1476	C₂³	C₂²×C₄×D₄₃	1	1	yes	characteristic
1477	C₂³	C₂²×C₄×D₄₃	1	1	yes	characteristic
1478	C₂³	C₂²×C₄×D₄₃	1	1	yes	characteristic
1479	C₂³	C₂²×C₄×D₄₃	1	1	yes	characteristic
1480	Q₈	—	172	1	no	—
1481	Q₈	—	172	1	no	—
1482	Q₈	—	172	1	no	—
1483	Q₈	—	172	1	no	—
1484	D₄	—	2	2	no	—
1485	D₄	—	2	2	no	—
1486	D₄	—	4	1	no	—
1487	D₄	—	4	1	no	—
1488	D₄	—	86	2	no	—
1489	D₄	—	86	2	no	—
1490	D₄	—	86	2	no	—
1491	D₄	—	86	2	no	—
1492	D₄	—	86	2	no	—
1493	D₄	—	86	2	no	—
1494	D₄	—	172	1	no	—
1495	D₄	—	172	1	no	—
1496	D₄	—	172	1	no	—
1497	D₄	—	172	1	no	—
1498	D₄	—	172	1	no	—
1499	D₄	—	172	1	no	—
1500	D₄	—	172	1	no	—
1501	D₄	—	172	1	no	—
1502	D₄	—	172	1	no	—
1503	D₄	—	172	1	no	—
1504	D₄	—	172	1	no	—
1505	D₄	—	172	1	no	—
1506	D₄	—	172	1	no	—
1507	D₄	—	172	1	no	—
1508	D₄	—	172	1	no	—
1509	D₄	—	172	1	no	—
1510	D₄	—	172	1	no	—
1511	D₄	—	172	1	no	—
1512	C₂×C₄	—	2	2	no	—
1513	C₂×C₄	—	2	2	no	—
1514	C₂×C₄	—	2	2	no	—
1515	C₂×C₄	—	2	2	no	—
1516	C₂×C₄	—	2	2	no	—
1517	C₂×C₄	—	2	2	no	—
1518	C₂×C₄	—	2	1	no	—
1519	C₂×C₄	—	2	1	no	—
1520	C₂×C₄	—	2	1	no	—
1521	C₂×C₄	—	2	1	no	—
1522	C₂×C₄	—	2	1	no	—
1523	C₂×C₄	—	2	1	no	—
1524	C₂×C₄	—	2	1	no	—
1525	C₂×C₄	—	2	1	no	—
1526	C₂×C₄	—	4	1	no	—
1527	C₂×C₄	—	4	1	no	—
1528	C₂×C₄	—	43	1	no	—
1529	C₂×C₄	—	43	1	no	—
1530	C₂×C₄	—	43	1	no	—
1531	C₂×C₄	—	43	1	no	—
1532	C₂×C₄	—	43	1	no	—
1533	C₂×C₄	—	43	1	no	—
1534	C₂×C₄	—	43	1	no	—
1535	C₂×C₄	—	43	1	no	—
1536	C₂×C₄	—	43	1	no	—
1537	C₂×C₄	—	43	1	no	—
1538	C₂×C₄	—	86	2	no	—
1539	C₂×C₄	—	86	2	no	—
1540	C₂×C₄	—	86	2	no	—
1541	C₂×C₄	—	86	2	no	—
1542	C₂×C₄	—	86	2	no	—
1543	C₂×C₄	—	86	2	no	—
1544	C₂×C₄	—	86	2	no	—
1545	C₂×C₄	—	86	2	no	—
1546	C₂×C₄	—	86	2	no	—
1547	C₂×C₄	—	86	1	no	—
1548	C₂×C₄	—	86	1	no	—
1549	C₂×C₄	—	86	1	no	—
1550	C₂×C₄	—	86	1	no	—
1551	C₂×C₄	—	86	1	no	—
1552	C₂×C₄	—	86	1	no	—
1553	C₂×C₄	—	86	1	no	—
1554	C₂×C₄	—	86	1	no	—
1555	C₂×C₄	—	86	1	no	—
1556	C₂×C₄	—	86	1	no	—
1557	C₂×C₄	—	86	1	no	—
1558	C₂×C₄	—	86	1	no	—
1559	C₂×C₄	—	172	1	no	—
1560	C₂×C₄	—	172	1	no	—
1561	C₂×C₄	—	172	1	no	—
1562	C₂×C₄	—	172	1	no	—
1563	C₂×C₄	—	172	1	no	—
1564	C₂×C₄	—	172	1	no	—
1565	C₂×C₄	—	172	1	no	—
1566	C₂×C₄	—	172	1	no	—
1567	C₂×C₄	—	172	1	no	—
1568	C₂×C₄	—	172	1	no	—
1569	C₂×C₄	—	172	1	no	—
1570	C₂×C₄	—	172	1	no	—
1571	C₂×C₄	—	172	1	no	—
1572	C₂×C₄	—	172	1	no	—
1573	C₂×C₄	C₂²×C₄×D₄₃	1	1	yes	characteristic
1574	C₂×C₄	C₂²×C₄×D₄₃	1	1	yes	characteristic
1575	C₂×C₄	C₂²×C₄×D₄₃	1	1	yes	characteristic
1576	C₂×C₄	C₂²×C₄×D₄₃	1	1	yes	characteristic
1577	C₂×C₄	C₂²×C₄×D₄₃	1	1	yes	characteristic
1578	C₂×C₄	C₂²×C₄×D₄₃	1	1	yes	characteristic
1579	C₂×C₄	C₂²×C₄×D₄₃	1	1	yes	characteristic
1580	C₂×C₄	C₂²×C₄×D₄₃	1	1	yes	characteristic
1581	C₂×C₄	C₂²×C₄×D₄₃	1	1	yes	characteristic
1582	C₂×C₄	#13063370	1	2	yes	—
1583	C₂×C₄	#13063371	1	2	yes	—
1584	C₂×C₄	C₂⁴×D₄₃	1	1	yes	characteristic
1585	C₈	—	2	2	no	—
1586	C₈	—	2	2	no	—
1587	C₈	—	2	2	no	—
1588	C₈	—	2	2	no	—
1589	C₈	—	86	2	no	—
1590	C₈	—	86	2	no	—
1591	C₈	—	86	2	no	—
1592	C₈	—	86	2	no	—
1593	C₂²	—	2	1	no	—
1594	C₂²	—	2	1	no	—
1595	C₂²	—	2	1	no	—
1596	C₂²	—	2	1	no	—
1597	C₂²	—	2	1	no	—
1598	C₂²	—	2	1	no	—
1599	C₂²	—	2	1	no	—
1600	C₂²	—	2	1	no	—
1601	C₂²	—	2	1	no	—
1602	C₂²	—	2	1	no	—
1603	C₂²	—	2	1	no	—
1604	C₂²	—	2	1	no	—
1605	C₂²	—	2	1	no	—
1606	C₂²	—	4	4	no	—
1607	C₂²	—	8	2	no	—
1608	C₂²	—	43	2	no	—
1609	C₂²	—	86	1	no	—
1610	C₂²	—	86	1	no	—
1611	C₂²	—	86	1	no	—
1612	C₂²	—	86	1	no	—
1613	C₂²	—	86	1	no	—
1614	C₂²	—	86	1	no	—
1615	C₂²	—	86	1	no	—
1616	C₂²	—	86	1	no	—
1617	C₂²	—	86	1	no	—
1618	C₂²	—	86	1	no	—
1619	C₂²	—	86	1	no	—
1620	C₂²	—	86	1	no	—
1621	C₂²	—	86	1	no	—
1622	C₂²	—	86	1	no	—
1623	C₂²	—	86	1	no	—
1624	C₂²	—	86	1	no	—
1625	C₂²	—	86	1	no	—
1626	C₂²	—	344	2	no	—
1627	C₂²	—	172	4	no	—
1628	C₂²	—	172	4	no	—
1629	C₂²	—	172	4	no	—
1630	C₂²	—	172	4	no	—
1631	C₂²	—	172	4	no	—
1632	C₂²	—	172	4	no	—
1633	C₂²	#14583371	1	2	yes	—
1634	C₂²	#14583665	1	2	yes	—
1635	C₂²	C₂³×C₄×D₄₃	1	1	yes	characteristic
1636	C₄	—	2	1	no	—
1637	C₄	—	2	1	no	—
1638	C₄	—	2	1	no	—
1639	C₄	—	2	1	no	—
1640	C₄	—	2	1	no	—
1641	C₄	—	2	1	no	—
1642	C₄	—	2	1	no	—
1643	C₄	—	2	1	no	—
1644	C₄	—	86	1	no	—
1645	C₄	—	86	1	no	—
1646	C₄	—	86	1	no	—
1647	C₄	—	86	1	no	—
1648	C₄	—	86	1	no	—
1649	C₄	—	86	1	no	—
1650	C₄	—	86	1	no	—
1651	C₄	—	86	1	no	—
1652	C₄	—	86	1	no	—
1653	C₄	—	86	1	no	—
1654	C₄	#14583371	1	2	yes	—
1655	C₄	C₂×#13063370	1	1	yes	characteristic
1656	C₄	C₂×#13063371	1	1	yes	characteristic
1657	C₂	—	2	2	no	—
1658	C₂	—	2	2	no	—
1659	C₂	—	4	1	no	—
1660	C₂	—	4	1	no	—
1661	C₂	—	4	1	no	—
1662	C₂	—	86	2	no	—
1663	C₂	—	172	1	no	—
1664	C₂	—	172	1	no	—
1665	C₂	—	172	1	no	—
1666	C₂	—	172	1	no	—
1667	C₂	—	172	1	no	—
1668	C₂	C₂×#14583371	1	1	yes	characteristic
1669	C₂	#568×D₄₃	1	1	yes	characteristic
1670	C₂	C₂×#14583665	1	1	yes	characteristic

	subgroup	G/H
center, Frattini	C₂×C₄	C₂⁴×D₄₃
commutator, socle	C₂²×C₄₃	C₂⁴×C₄
Fitting	D₄×M₁₆×C₄₃	C₂
prime radical	C₂×#14583408	C₂
cosocle	C₂×C₄×C₄₃	C₂⁵
hypercenter	D₄×M₁₆	D₄₃
hypocenter	C₄₃	#60231
LCS	G ▷ C₂²×C₄₃ ▷ C₄₃
UCS	C₁ ◁ C₂×C₄ ◁ D₄×M₁₆

Complements

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

N	H ≅ G/N	type
2. #19143654	C₂	semidirect
3. #19143652	C₂	semidirect
4. #19143648	C₂	semidirect
5. #19143646	C₂	semidirect
6. #19143644	C₂	semidirect
7. #19143642	C₂	semidirect
8. #19143639	C₂	semidirect
9. #19143637	C₂	semidirect
10. M₁₆×D₁₇₂	C₂	semidirect
11. D₄×#10621877	C₂	semidirect
12. #19143330	C₂	semidirect
13. M₁₆×C₂²⋊D₄₃	C₂	semidirect
14. M₁₆×C₂²⋊D₄₃	C₂	semidirect
15. #19143327	C₂	semidirect
16. #19143327	C₂	semidirect
17. #19143232	C₂	semidirect
18. #19143231	C₂	semidirect
19. #19143039	C₂	semidirect
20. #19143038	C₂	semidirect
21. C₂×#14582862	C₂	semidirect
22. #407×D₄₃	C₂	semidirect
23. D₄×M₁₆×C₄₃	C₂	semidirect
27. C₂²×#10621877	C₂²	semidirect
30. C₂×M₁₆×D₄₃	C₂²	semidirect
31. C₂×M₁₆×D₄₃	C₂²	semidirect
60. #14582978	C₂²	semidirect
61. #14582977	C₂²	semidirect
62. #14582976	C₂²	semidirect
63. #14582975	C₂²	semidirect
64. #14582975	C₂²	semidirect
65. #14582974	C₂²	semidirect
66. #14582974	C₂²	semidirect
67. #14582973	C₂²	semidirect
68. #14582973	C₂²	semidirect
69. #14582972	C₂²	semidirect
70. #14582972	C₂²	semidirect
71. #14582971	C₂²	semidirect
72. #14582971	C₂²	semidirect
73. #14582970	C₂²	semidirect
74. #14582970	C₂²	semidirect
75. #14582969	C₂²	semidirect
76. #14582969	C₂²	semidirect
77. #14582968	C₂²	semidirect
78. #14582968	C₂²	semidirect
79. #14582967	C₂²	semidirect
80. #14582967	C₂²	semidirect
81. C₈×D₁₇₂	C₂²	semidirect
82. D₄×C₄₃⋊C₈	C₂²	semidirect
83. #14582964	C₂²	semidirect
84. C₈×C₂²⋊D₄₃	C₂²	semidirect
85. C₈×C₂²⋊D₄₃	C₂²	semidirect
86. (C₂²⋊D₄₃)⋊C₈	C₂²	semidirect
87. (C₂²⋊D₄₃)⋊C₈	C₂²	semidirect
88. #14582961	C₂²	semidirect
89. #14582961	C₂²	semidirect
90. #14582959	C₂²	semidirect
91. #14582959	C₂²	semidirect
92. #14582959	C₂²	semidirect
93. #14582959	C₂²	semidirect
94. #14582958	C₂²	semidirect
95. #14582958	C₂²	semidirect
96. #14582923	C₂²	semidirect
97. #14582922	C₂²	semidirect
98. #14582922	C₂²	semidirect
99. #14582867	C₂²	semidirect
100. #14582867	C₂²	semidirect
101. #14582865	C₂²	semidirect
102. #14582865	C₂²	semidirect
103. #14582864	C₂²	semidirect
104. #14582864	C₂²	semidirect
105. #14582864	C₂²	semidirect
106. #14582864	C₂²	semidirect
108. #14582863	C₂²	semidirect
115. #14582862	C₂²	semidirect
116. #14582862	C₂²	semidirect
117. #14582862	C₂²	semidirect
118. #14582862	C₂²	semidirect
119. #14582861	C₂²	semidirect
120. #14582861	C₂²	semidirect
121. C₂×(C₂×D₄₃)⋊C₈	C₂²	semidirect
122. C₂×(C₂×D₄₃)⋊C₈	C₂²	semidirect
123. C₂²⋊C₈×D₄₃	C₂²	semidirect
124. C₂²⋊C₈×D₄₃	C₂²	semidirect
125. C₄×#10621877	C₂²	semidirect
126. M₁₆×Dic₄₃	C₂²	semidirect
127. M₁₆×Dic₄₃	C₂²	semidirect
129. C₂²×M₁₆×C₄₃	C₂²	semidirect
131. C₄₃×#436	C₂²	semidirect
132. C₄₃×#435	C₂²	semidirect
133. C₄₃×#435	C₂²	semidirect
134. C₈×D₄×C₄₃	C₂²	semidirect
135. C₄₃×#423	C₂²	semidirect
137. C₄₃×#407	C₂²	semidirect
138. C₄×M₁₆×C₄₃	C₂²	semidirect
180. C₂×#10621877	C₂³	semidirect
183. C₂×#10621872	C₂³	semidirect
184. C₂×#10621872	C₂³	semidirect
190. C₂²×C₄₃⋊C₈	C₂³	semidirect
193. C₂×C₈×D₄₃	C₂³	semidirect
194. C₂×C₈×D₄₃	C₂³	semidirect
305. C₄⋊(C₄₃⋊C₈)	C₂³	semidirect
306. C₄⋊(C₄₃⋊C₈)	C₂³	semidirect
307. Dic₄₃⋊C₈	C₂³	semidirect
308. Dic₄₃⋊C₈	C₂³	semidirect
309. Dic₄₃⋊C₈	C₂³	semidirect
310. Dic₄₃⋊C₈	C₂³	semidirect
313. C₂²⋊(C₄₃⋊C₈)	C₂³	semidirect
314. C₂²⋊(C₄₃⋊C₈)	C₂³	semidirect
327. (C₂×D₄₃)⋊C₈	C₂³	semidirect
328. (C₂×D₄₃)⋊C₈	C₂³	semidirect
329. (C₂×D₄₃)⋊C₈	C₂³	semidirect
330. (C₂×D₄₃)⋊C₈	C₂³	semidirect
331. #13063236	C₂³	semidirect
332. #13063235	C₂³	semidirect
333. #13063235	C₂³	semidirect
334. C₄×C₄₃⋊C₈	C₂³	semidirect
335. C₈×Dic₄₃	C₂³	semidirect
336. C₈×Dic₄₃	C₂³	semidirect
347. C₂×M₁₆×C₄₃	C₂³	semidirect
349. C₂²×C₈×C₄₃	C₂³	semidirect
362. C₄⋊C₈×C₄₃	C₂³	semidirect
363. C₄⋊C₈×C₄₃	C₂³	semidirect
366. C₂²⋊C₈×C₄₃	C₂³	semidirect
367. C₂²⋊C₈×C₄₃	C₂³	semidirect
368. #97×C₄₃	C₂³	semidirect
369. C₄×C₈×C₄₃	C₂³	semidirect
838. D₄×M₁₆	D₄₃	semidirect
868. C₂²×M₁₆	C₂×D₄₃	semidirect
905. #436	C₂×D₄₃	semidirect
920. #435	C₂×D₄₃	semidirect
921. #435	C₂×D₄₃	semidirect
929. C₈×D₄	C₂×D₄₃	semidirect
941. #423	C₂×D₄₃	semidirect
965. #407	C₂×D₄₃	semidirect
973. C₄×M₁₆	C₂×D₄₃	semidirect
974. C₄₃	#60231	semidirect
1035. C₂×M₁₆	C₂²×D₄₃	semidirect
1043. C₂²×C₈	C₂²×D₄₃	semidirect
1172. C₄⋊C₈	C₂²×D₄₃	semidirect
1173. C₄⋊C₈	C₂²×D₄₃	semidirect
1196. C₂²⋊C₈	C₂²×D₄₃	semidirect
1197. C₂²⋊C₈	C₂²×D₄₃	semidirect
1201. #97	C₂²×D₄₃	semidirect
1205. 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
C₂×#14583408	2
#19143654	2
#19143652	2
#19143648	2
#19143646	2
#19143644	2
#19143642	2
#19143639	2
#19143637	2
M₁₆×D₁₇₂	2
D₄×#10621877	2
#19143330	2
M₁₆×C₂²⋊D₄₃	2
#19143327	2
#19143232	2
#19143231	2
#19143039	2
#19143038	2
C₂×#14582862	2
#407×D₄₃	2
D₄×M₁₆×C₄₃	2
#60231	43