Subgroups — #11660313

Order 768.

1872 conjugacy classes of subgroups.

The subgroup lattice has 1446 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×#5538	C₂	1	1	yes	maximal, characteristic
2	C₃×D₄×M₁₆	C₂	1	1	yes	maximal, characteristic, complemented
3	M₁₆×#67	C₂	1	1	yes	maximal, characteristic, complemented
4	M₁₆×#67	C₂	1	1	yes	maximal, characteristic, complemented
5	#83750	C₂	1	1	yes	maximal, characteristic, complemented
6	C₂×#5118	C₂	1	1	yes	maximal, characteristic, complemented
7	D₄×#208	C₂	1	1	yes	maximal, characteristic, complemented
8	#79528	C₂	1	2	yes	maximal, complemented
9	#79525	C₂	1	2	yes	maximal, complemented
10	#79467	C₂	1	2	yes	maximal, complemented
11	#79466	C₂	1	2	yes	maximal, complemented
12	#79465	C₂	1	2	yes	maximal, complemented
13	#79463	C₂	1	2	yes	maximal, complemented
14	#79409	C₂	1	2	yes	maximal, complemented
15	#79407	C₂	1	2	yes	maximal, complemented
16	#79048	C₂	1	1	yes	maximal, characteristic, complemented
17	#79046	C₂	1	1	yes	maximal, characteristic, complemented
18	#78628	C₂	1	1	yes	maximal, characteristic, complemented
19	#78628	C₂	1	1	yes	maximal, characteristic, complemented
20	#78620	C₂	1	1	yes	maximal, characteristic, complemented
21	#78619	C₂	1	1	yes	maximal, characteristic, complemented
22	#78518	C₂	1	1	yes	maximal, characteristic, complemented
23	M₁₆×Dic₆	C₂	1	1	yes	maximal, characteristic, complemented
24	#60264	—	3	1	no	maximal, Sylow
25	C₂²×C₃×M₁₆	C₂²	1	1	yes	characteristic
26	C₂²×C₃×M₁₆	C₂²	1	1	yes	characteristic
27	C₂×C₃×C₄×D₄	C₂²	1	1	yes	characteristic
28	C₂×#939	C₄	1	1	yes	characteristic
29	C₂×#935	C₄	1	1	yes	characteristic
30	C₂×C₄×#67	C₂²	1	1	yes	characteristic
31	C₂×C₄×#67	C₂²	1	1	yes	characteristic
32	C₂×#926	C₂²	1	1	yes	characteristic
33	C₂²×C₄×Dic₃	C₂²	1	1	yes	characteristic
34	C₂²×#208	C₂²	1	1	yes	characteristic
35	C₂²×#208	C₂²	1	1	yes	characteristic
36	C₂×D₃×M₁₆	C₂²	1	1	yes	characteristic
37	C₂×D₃×M₁₆	C₂²	1	1	yes	characteristic
38	#5538	C₄	1	1	yes	characteristic
39	#5538	C₄	1	1	yes	characteristic
40	#5538	C₄	1	1	yes	characteristic
41	#5538	C₄	1	1	yes	characteristic
42	#5538	C₄	1	1	yes	characteristic
43	#5538	C₄	1	1	yes	characteristic
44	#5538	C₄	1	1	yes	characteristic
45	#5538	C₄	1	1	yes	characteristic
46	#5538	C₂²	1	1	yes	characteristic
47	#5538	C₂²	1	1	yes	characteristic
48	#5538	C₂²	1	1	yes	characteristic
49	#5538	C₂²	1	1	yes	characteristic
50	#5538	C₂²	1	1	yes	characteristic
51	#5538	C₂²	1	1	yes	characteristic
52	#5538	C₂²	1	1	yes	characteristic
53	#5538	C₂²	1	1	yes	characteristic
54	C₂×#898	C₄	1	1	yes	characteristic
55	C₂×#889	C₄	1	1	yes	characteristic
56	C₂×#886	C₄	1	1	yes	characteristic
57	C₂×#885	C₄	1	1	yes	characteristic
58	C₂×#879	C₄	1	1	yes	characteristic
59	C₂×#878	C₄	1	1	yes	characteristic
60	C₂×#872	C₂²	1	1	yes	characteristic
61	C₂×C₄×Dic₆	C₂²	1	1	yes	characteristic
62	C₃×#436	C₂²	1	2	yes	complemented
63	C₃×#435	C₂²	1	2	yes	complemented
64	C₃×#435	C₂²	1	2	yes	complemented
65	C₃×C₈×D₄	C₂²	1	2	yes	complemented
66	C₃×#423	C₂²	1	1	yes	characteristic
67	C₃×#407	C₂²	1	1	yes	characteristic
68	C₃×#407	C₂²	1	1	yes	characteristic
69	C₃×C₄×M₁₆	C₂²	1	1	yes	characteristic
70	#5207	C₂²	1	1	yes	characteristic
71	#5207	C₂²	1	1	yes	characteristic
72	#5128	C₂²	1	2	yes	complemented
73	#5128	C₂²	1	2	yes	complemented
74	#5127	C₂²	1	2	yes	complemented
75	#5127	C₂²	1	2	yes	complemented
76	#5126	C₂²	1	1	yes	characteristic
77	#5126	C₂²	1	1	yes	characteristic
78	#5119	C₂²	1	2	yes	complemented
79	#5119	C₂²	1	2	yes	complemented
80	#5118	C₂²	1	1	yes	characteristic
81	#5118	C₂²	1	1	yes	characteristic
82	#5118	C₂²	1	1	yes	characteristic
83	#5118	C₂²	1	1	yes	characteristic
84	#5118	C₂²	1	1	yes	characteristic
85	#5118	C₂²	1	1	yes	characteristic
86	#5118	C₂²	1	1	yes	characteristic
87	#5118	C₂²	1	1	yes	characteristic
88	#5118	C₂²	1	2	yes	complemented
89	#5118	C₂²	1	2	yes	complemented
90	Dic₃×M₁₆	C₂²	1	1	yes	characteristic
91	Dic₃×M₁₆	C₂²	1	1	yes	characteristic
92	Dic₃×M₁₆	C₂²	1	1	yes	characteristic
93	Dic₃×M₁₆	C₂²	1	1	yes	characteristic
94	#5111	C₂²	1	2	yes	complemented
95	#5111	C₂²	1	2	yes	complemented
96	C₈×#67	C₂²	1	2	yes	complemented
97	C₈×#67	C₂²	1	2	yes	complemented
98	#5102	C₂²	1	2	yes	complemented
99	#5102	C₂²	1	2	yes	complemented
100	C₂×Dic₃⋊C₈	C₂²	1	2	yes	complemented
101	C₂×Dic₃⋊C₈	C₂²	1	2	yes	complemented
102	#5012	C₂²	1	2	yes	complemented
103	#5011	C₂²	1	2	yes	complemented
104	#5011	C₂²	1	2	yes	complemented
105	D₄×C₃⋊C₈	C₂²	1	2	yes	complemented
106	#4924	C₂²	1	1	yes	characteristic
107	C₄×#208	C₂²	1	1	yes	characteristic
108	#4839	C₂²	1	2	yes	complemented
109	#4839	C₂²	1	2	yes	complemented
110	#4839	C₂²	1	2	yes	complemented
111	#4839	C₂²	1	2	yes	complemented
112	#4831	C₂²	1	2	yes	complemented
113	#4830	C₂²	1	2	yes	complemented
114	#4828	C₂²	1	2	yes	complemented
115	#4828	C₂²	1	2	yes	complemented
116	#4730	C₂²	1	2	yes	complemented
117	#4730	C₂²	1	2	yes	complemented
118	#4729	C₂²	1	2	yes	complemented
119	#4729	C₂²	1	2	yes	complemented
120	#4728	C₂²	1	2	yes	complemented
121	#4728	C₂²	1	2	yes	complemented
122	#67⋊C₈	C₂²	1	2	yes	complemented
123	#67⋊C₈	C₂²	1	2	yes	complemented
124	#4720	C₂²	1	2	yes	complemented
125	#4720	C₂²	1	2	yes	complemented
126	#4720	C₂²	1	2	yes	complemented
127	#4720	C₂²	1	2	yes	complemented
128	#4719	C₂²	1	2	yes	complemented
129	#4719	C₂²	1	2	yes	complemented
130	#4718	C₂²	1	2	yes	complemented
131	#4718	C₂²	1	2	yes	complemented
132	#4709	C₂²	1	2	yes	complemented
133	#4709	C₂²	1	2	yes	complemented
134	#4701	C₂²	1	2	yes	complemented
135	#4701	C₂²	1	2	yes	complemented
136	#4690	C₂²	1	2	yes	complemented
137	#4690	C₂²	1	2	yes	complemented
138	#4679	C₂²	1	2	yes	complemented
139	C₈×Dic₆	C₂²	1	2	yes	complemented
140	C₂×#529	—	3	1	no	—
141	#2995	—	3	2	no	—
142	#2995	—	3	2	no	—
143	#2994	—	3	2	no	—
144	#2994	—	3	2	no	—
145	#2993	—	3	2	no	—
146	#2993	—	3	2	no	—
147	#2992	—	3	2	no	—
148	#2992	—	3	2	no	—
149	Q₈×M₁₆	—	3	1	no	—
150	Q₈×M₁₆	—	3	1	no	—
151	D₄×M₁₆	—	3	1	no	—
152	D₄×M₁₆	—	3	1	no	—
153	D₄×M₁₆	—	3	1	no	—
154	D₄×M₁₆	—	3	1	no	—
155	D₄×M₁₆	—	3	1	no	—
156	D₄×M₁₆	D₃	1	1	yes	characteristic, complemented
157	#2921	—	3	1	no	—
158	#2921	—	3	1	no	—
159	#2920	—	3	1	no	—
160	#2905	—	3	1	no	—
161	#2905	—	3	1	no	—
162	C₂×#423	—	3	1	no	—
163	C₂²×C₃×D₄	C₂×C₄	1	1	yes	characteristic
164	C₂³×C₃×C₄	C₂³	1	1	yes	characteristic
165	C₂³×C₃×C₄	C₂³	1	1	yes	characteristic
166	C₂²×#67	C₂×C₄	1	1	yes	characteristic
167	C₂²×#67	C₂×C₄	1	1	yes	characteristic
168	C₂³×Dic₃	C₂×C₄	1	1	yes	characteristic
169	C₂³×Dic₃	C₂×C₄	1	1	yes	characteristic
170	C₂²×C₄×D₃	C₂³	1	1	yes	characteristic
171	C₂²×Dic₆	C₂×C₄	1	1	yes	characteristic
172	C₂×C₃×M₁₆	—	4	2	no	—
173	C₂×C₃×M₁₆	—	4	2	no	—
174	C₂×C₃×M₁₆	C₂³	1	1	yes	characteristic
175	C₂×C₃×M₁₆	C₂³	1	1	yes	characteristic
176	C₂×C₃×M₁₆	C₂³	1	1	yes	characteristic
177	C₂×C₃×M₁₆	C₂³	1	1	yes	characteristic
178	C₂×C₃×M₁₆	C₂³	1	2	yes	—
179	C₂×C₃×M₁₆	C₂³	1	2	yes	—
180	C₂²×C₃×C₈	C₂³	1	2	yes	—
181	C₂²×C₃×C₈	C₂³	1	2	yes	—
182	C₃×C₄×D₄	C₂×C₄	1	1	yes	characteristic
183	C₃×C₄×D₄	C₂×C₄	1	1	yes	characteristic
184	C₃×C₄×D₄	C₂×C₄	1	1	yes	characteristic
185	C₃×C₄×D₄	C₂×C₄	1	1	yes	characteristic
186	C₃×C₄×D₄	C₂³	1	1	yes	characteristic
187	C₃×C₄×D₄	C₂³	1	1	yes	characteristic
188	C₃×C₄×D₄	C₂³	1	1	yes	characteristic
189	C₃×C₄×D₄	C₂³	1	1	yes	characteristic
190	C₂×C₃×C₄⋊C₄	C₂×C₄	1	1	yes	characteristic
191	C₂×C₃×C₂²⋊C₄	C₂×C₄	1	1	yes	characteristic
192	C₂×C₃×C₂²⋊C₄	C₂×C₄	1	1	yes	characteristic
193	C₂×C₃×C₄²	C₂³	1	1	yes	characteristic
194	C₂×#217	C₂×C₄	1	1	yes	characteristic
195	C₂×#217	C₂×C₄	1	1	yes	characteristic
196	C₂×#217	C₂×C₄	1	1	yes	characteristic
197	C₂×#217	C₂×C₄	1	1	yes	characteristic
198	#939	C₂×C₄	1	1	yes	characteristic
199	#939	C₂×C₄	1	1	yes	characteristic
200	#939	C₂×C₄	1	1	yes	characteristic
201	#939	C₂×C₄	1	1	yes	characteristic
202	#939	C₂×C₄	1	1	yes	characteristic
203	#939	C₂×C₄	1	1	yes	characteristic
204	#939	C₂×C₄	1	1	yes	characteristic
205	#939	C₂×C₄	1	1	yes	characteristic
206	#935	C₂×C₄	1	1	yes	characteristic
207	#935	C₂×C₄	1	1	yes	characteristic
208	#935	C₂×C₄	1	1	yes	characteristic
209	#935	C₂×C₄	1	1	yes	characteristic
210	#935	C₂×C₄	1	1	yes	characteristic
211	#935	C₂×C₄	1	1	yes	characteristic
212	#935	C₂×C₄	1	1	yes	characteristic
213	#935	C₂×C₄	1	1	yes	characteristic
214	C₄×#67	C₂×C₄	1	1	yes	characteristic
215	C₄×#67	C₂×C₄	1	1	yes	characteristic
216	C₄×#67	C₂×C₄	1	1	yes	characteristic
217	C₄×#67	C₂×C₄	1	1	yes	characteristic
218	C₄×#67	C₂×C₄	1	1	yes	characteristic
219	C₄×#67	C₂×C₄	1	1	yes	characteristic
220	C₄×#67	C₂×C₄	1	1	yes	characteristic
221	C₄×#67	C₂×C₄	1	1	yes	characteristic
222	C₄×#67	C₂³	1	1	yes	characteristic
223	C₄×#67	C₂³	1	1	yes	characteristic
224	C₄×#67	C₂³	1	1	yes	characteristic
225	C₄×#67	C₂³	1	1	yes	characteristic
226	C₄×#67	C₂³	1	1	yes	characteristic
227	C₄×#67	C₂³	1	1	yes	characteristic
228	C₄×#67	C₂³	1	1	yes	characteristic
229	C₄×#67	C₂³	1	1	yes	characteristic
230	C₂×(C₂×D₃)⋊C₄	C₂×C₄	1	1	yes	characteristic
231	C₂×(C₂×D₃)⋊C₄	C₂×C₄	1	1	yes	characteristic
232	C₂×(C₂×D₃)⋊C₄	C₂×C₄	1	1	yes	characteristic
233	C₂×(C₂×D₃)⋊C₄	C₂×C₄	1	1	yes	characteristic
234	#926	C₂×C₄	1	1	yes	characteristic
235	#926	C₂×C₄	1	1	yes	characteristic
236	#926	C₂×C₄	1	1	yes	characteristic
237	#926	C₂×C₄	1	1	yes	characteristic
238	#926	C₂³	1	1	yes	characteristic
239	#926	C₂³	1	1	yes	characteristic
240	#926	C₂³	1	1	yes	characteristic
241	#926	C₂³	1	1	yes	characteristic
242	C₂×C₄⋊Dic₃	C₂×C₄	1	1	yes	characteristic
243	C₂×C₄⋊Dic₃	C₂×C₄	1	1	yes	characteristic
244	C₂×C₄⋊Dic₃	C₂×C₄	1	1	yes	characteristic
245	C₂×Dic₃⋊C₄	C₂×C₄	1	1	yes	characteristic
246	C₂×Dic₃⋊C₄	C₂×C₄	1	1	yes	characteristic
247	C₂×Dic₃⋊C₄	C₂×C₄	1	1	yes	characteristic
248	C₂×Dic₃⋊C₄	C₂×C₄	1	1	yes	characteristic
249	C₂×Dic₃⋊C₄	C₂×C₄	1	1	yes	characteristic
250	C₂×Dic₃⋊C₄	C₂×C₄	1	1	yes	characteristic
251	C₂×C₄×Dic₃	C₂×C₄	1	1	yes	characteristic
252	C₂×C₄×Dic₃	C₂×C₄	1	1	yes	characteristic
253	C₂×C₄×Dic₃	C₂×C₄	1	1	yes	characteristic
254	C₂×C₄×Dic₃	C₂×C₄	1	1	yes	characteristic
255	C₂×C₄×Dic₃	C₂×C₄	1	1	yes	characteristic
256	C₂×C₄×Dic₃	C₂×C₄	1	1	yes	characteristic
257	C₂×C₄×Dic₃	C₂³	1	1	yes	characteristic
258	C₂×C₄×Dic₃	C₂³	1	1	yes	characteristic
259	C₂×C₄×Dic₃	C₂³	1	1	yes	characteristic
260	C₂×C₄×Dic₃	C₂³	1	1	yes	characteristic
261	C₂×C₄×Dic₃	C₂³	1	1	yes	characteristic
262	C₂×C₄×Dic₃	C₂³	1	1	yes	characteristic
263	C₂×C₄×Dic₃	C₂³	1	1	yes	characteristic
264	C₂×#208	—	4	2	no	—
265	C₂×#208	—	4	2	no	—
266	C₂×#208	C₂³	1	1	yes	characteristic
267	C₂×#208	C₂³	1	1	yes	characteristic
268	C₂×#208	C₂³	1	1	yes	characteristic
269	C₂×#208	C₂³	1	1	yes	characteristic
270	C₂×#208	C₂³	1	2	yes	—
271	C₂×#208	C₂³	1	2	yes	—
272	C₂²×C₃⋊C₈	C₂³	1	2	yes	—
273	C₂²×C₃⋊C₈	C₂³	1	2	yes	—
274	D₃×M₁₆	—	4	2	no	—
275	D₃×M₁₆	—	4	2	no	—
276	C₂×ΓL(1,𝔽₂₅)	C₂³	1	2	yes	—
277	C₂×ΓL(1,𝔽₂₅)	C₂³	1	2	yes	—
278	C₂×D₃×C₈	C₂³	1	2	yes	—
279	C₂×D₃×C₈	C₂³	1	2	yes	—
280	#898	C₂×C₄	1	1	yes	characteristic
281	#898	C₂×C₄	1	1	yes	characteristic
282	#898	C₂×C₄	1	1	yes	characteristic
283	#898	C₂×C₄	1	1	yes	characteristic
284	#898	C₂×C₄	1	1	yes	characteristic
285	#898	C₂×C₄	1	1	yes	characteristic
286	#898	C₂×C₄	1	1	yes	characteristic
287	#898	C₂×C₄	1	1	yes	characteristic
288	#889	C₂×C₄	1	1	yes	characteristic
289	#889	C₂×C₄	1	1	yes	characteristic
290	#889	C₂×C₄	1	1	yes	characteristic
291	#889	C₂×C₄	1	1	yes	characteristic
292	#889	C₂×C₄	1	1	yes	characteristic
293	#889	C₂×C₄	1	1	yes	characteristic
294	#889	C₂×C₄	1	1	yes	characteristic
295	#889	C₂×C₄	1	1	yes	characteristic
296	#886	C₂×C₄	1	1	yes	characteristic
297	#886	C₂×C₄	1	1	yes	characteristic
298	#886	C₂×C₄	1	1	yes	characteristic
299	#886	C₂×C₄	1	1	yes	characteristic
300	#886	C₂×C₄	1	1	yes	characteristic
301	#886	C₂×C₄	1	1	yes	characteristic
302	#886	C₂×C₄	1	1	yes	characteristic
303	#886	C₂×C₄	1	1	yes	characteristic
304	#885	C₂×C₄	1	1	yes	characteristic
305	#885	C₂×C₄	1	1	yes	characteristic
306	#885	C₂×C₄	1	1	yes	characteristic
307	#885	C₂×C₄	1	1	yes	characteristic
308	#885	C₂×C₄	1	1	yes	characteristic
309	#885	C₂×C₄	1	1	yes	characteristic
310	#885	C₂×C₄	1	1	yes	characteristic
311	#885	C₂×C₄	1	1	yes	characteristic
312	#879	C₂×C₄	1	1	yes	characteristic
313	#879	C₂×C₄	1	1	yes	characteristic
314	#879	C₂×C₄	1	1	yes	characteristic
315	#879	C₂×C₄	1	1	yes	characteristic
316	#879	C₂×C₄	1	1	yes	characteristic
317	#879	C₂×C₄	1	1	yes	characteristic
318	#879	C₂×C₄	1	1	yes	characteristic
319	#879	C₂×C₄	1	1	yes	characteristic
320	#878	C₂×C₄	1	1	yes	characteristic
321	#878	C₂×C₄	1	1	yes	characteristic
322	#878	C₂×C₄	1	1	yes	characteristic
323	#878	C₂×C₄	1	1	yes	characteristic
324	#878	C₂×C₄	1	1	yes	characteristic
325	#878	C₂×C₄	1	1	yes	characteristic
326	#878	C₂×C₄	1	1	yes	characteristic
327	#878	C₂×C₄	1	1	yes	characteristic
328	#872	C₂×C₄	1	1	yes	characteristic
329	#872	C₂×C₄	1	1	yes	characteristic
330	#872	C₂×C₄	1	1	yes	characteristic
331	#872	C₂×C₄	1	1	yes	characteristic
332	#872	C₂³	1	1	yes	characteristic
333	#872	C₂³	1	1	yes	characteristic
334	#872	C₂³	1	1	yes	characteristic
335	#872	C₂³	1	1	yes	characteristic
336	C₄×Dic₆	C₂×C₄	1	1	yes	characteristic
337	C₄×Dic₆	C₂×C₄	1	1	yes	characteristic
338	C₄×Dic₆	C₂×C₄	1	1	yes	characteristic
339	C₄×Dic₆	C₂×C₄	1	1	yes	characteristic
340	C₄×Dic₆	C₂³	1	1	yes	characteristic
341	C₄×Dic₆	C₂³	1	1	yes	characteristic
342	C₄×Dic₆	C₂³	1	1	yes	characteristic
343	C₄×Dic₆	C₂³	1	1	yes	characteristic
344	C₃×C₄⋊C₈	C₂³	1	2	yes	—
345	C₃×C₄⋊C₈	C₂³	1	2	yes	—
346	C₃×C₂²⋊C₈	C₂³	1	2	yes	—
347	C₃×C₂²⋊C₈	C₂³	1	2	yes	—
348	C₃×C₂²⋊C₈	C₂³	1	2	yes	—
349	C₃×C₂²⋊C₈	C₂³	1	2	yes	—
350	C₃×#97	C₂³	1	2	yes	—
351	C₃×C₄×C₈	C₂³	1	2	yes	—
352	#830	C₂³	1	2	yes	—
353	#830	C₂³	1	2	yes	—
354	#830	C₂³	1	2	yes	—
355	#830	C₂³	1	2	yes	—
356	(C₂×D₃)⋊C₈	C₂³	1	2	yes	—
357	(C₂×D₃)⋊C₈	C₂³	1	2	yes	—
358	(C₂×D₃)⋊C₈	C₂³	1	2	yes	—
359	(C₂×D₃)⋊C₈	C₂³	1	2	yes	—
360	#815	C₂³	1	2	yes	—
361	#815	C₂³	1	2	yes	—
362	#815	C₂³	1	2	yes	—
363	#815	C₂³	1	2	yes	—
364	Dic₃⋊C₈	C₂³	1	2	yes	—
365	Dic₃⋊C₈	C₂³	1	2	yes	—
366	Dic₃⋊C₈	C₂³	1	2	yes	—
367	Dic₃⋊C₈	C₂³	1	2	yes	—
368	Dic₃⋊C₈	C₂³	1	2	yes	—
369	Dic₃⋊C₈	C₂³	1	2	yes	—
370	Dic₃⋊C₈	C₂³	1	2	yes	—
371	Dic₃⋊C₈	C₂³	1	2	yes	—
372	Dic₃⋊C₈	C₂³	1	2	yes	—
373	Dic₃⋊C₈	C₂³	1	2	yes	—
374	Dic₃⋊C₈	C₂³	1	2	yes	—
375	Dic₃⋊C₈	C₂³	1	2	yes	—
376	Dic₃⋊C₈	C₂³	1	2	yes	—
377	Dic₃⋊C₈	C₂³	1	2	yes	—
378	Dic₃⋊C₈	C₂³	1	2	yes	—
379	Dic₃⋊C₈	C₂³	1	2	yes	—
380	C₈×Dic₃	C₂³	1	2	yes	—
381	C₈×Dic₃	C₂³	1	2	yes	—
382	C₈×Dic₃	C₂³	1	2	yes	—
383	C₈×Dic₃	C₂³	1	2	yes	—
384	C₄⋊(C₃⋊C₈)	C₂³	1	2	yes	—
385	C₄⋊(C₃⋊C₈)	C₂³	1	2	yes	—
386	#803	C₂³	1	2	yes	—
387	C₄×C₃⋊C₈	C₂³	1	2	yes	—
388	C₂²×M₁₆	—	3	1	no	—
389	C₂²×M₁₆	—	3	1	no	—
390	C₂²×M₁₆	—	3	1	no	—
391	C₂²×M₁₆	—	3	1	no	—
392	C₂²×M₁₆	C₂×D₃	1	1	yes	characteristic
393	C₂²×M₁₆	C₂×D₃	1	1	yes	characteristic
394	#529	—	3	1	no	—
395	#529	—	3	1	no	—
396	#529	—	3	1	no	—
397	#529	—	3	1	no	—
398	#529	—	3	1	no	—
399	#529	—	3	1	no	—
400	#529	—	3	1	no	—
401	#529	—	3	1	no	—
402	#529	—	3	1	no	—
403	#529	—	3	1	no	—
404	#529	—	3	1	no	—
405	#529	—	3	1	no	—
406	#529	—	3	1	no	—
407	#529	—	3	1	no	—
408	#529	—	3	1	no	—
409	#529	—	3	1	no	—
410	C₂×#126	—	3	1	no	—
411	C₂×#126	—	3	1	no	—
412	C₂×#125	—	3	1	no	—
413	C₂×#124	—	3	1	no	—
414	C₂×#123	—	3	1	no	—
415	C₂×#123	—	3	1	no	—
416	C₂×C₂²⋊Q₈	—	3	1	no	—
417	C₂×#121	—	3	1	no	—
418	C₂×C₄×Q₈	—	3	1	no	—
419	C₂×C₄×D₄	—	3	1	no	—
420	C₂×C₄×D₄	—	3	1	no	—
421	C₂×C₄×D₄	C₂×D₃	1	1	yes	characteristic
422	C₂×#117	—	3	1	no	—
423	C₂×#117	—	3	1	no	—
424	C₂²×C₄²	—	3	1	no	—
425	#446	—	3	2	no	—
426	#446	—	3	2	no	—
427	#446	—	3	2	no	—
428	#446	—	3	2	no	—
429	#446	—	3	2	no	—
430	#446	—	3	2	no	—
431	C₈×Q₈	—	3	2	no	—
432	C₈×Q₈	—	3	2	no	—
433	#436	—	3	2	no	—
434	#436	—	3	2	no	—
435	#436	—	3	2	no	—
436	#436	—	3	2	no	—
437	#436	—	3	2	no	—
438	#436	C₂×D₃	1	2	yes	complemented
439	#435	—	3	2	no	—
440	#435	—	3	2	no	—
441	#435	—	3	2	no	—
442	#435	—	3	2	no	—
443	#435	—	3	2	no	—
444	#435	—	3	2	no	—
445	#435	—	3	2	no	—
446	#435	—	3	2	no	—
447	#435	—	3	2	no	—
448	#435	—	3	2	no	—
449	#435	C₂×D₃	1	2	yes	complemented
450	#435	C₂×D₃	1	2	yes	complemented
451	C₈×D₄	—	3	2	no	—
452	C₈×D₄	—	3	2	no	—
453	C₈×D₄	—	3	2	no	—
454	C₈×D₄	—	3	2	no	—
455	C₈×D₄	—	3	2	no	—
456	C₈×D₄	C₂×D₃	1	2	yes	complemented
457	#433	—	3	2	no	—
458	#433	—	3	2	no	—
459	#433	—	3	2	no	—
460	#433	—	3	2	no	—
461	#433	—	3	2	no	—
462	#433	—	3	2	no	—
463	#433	—	3	2	no	—
464	#433	—	3	2	no	—
465	#432	—	3	2	no	—
466	#432	—	3	2	no	—
467	#431	—	3	2	no	—
468	#431	—	3	2	no	—
469	#424	—	3	2	no	—
470	#424	—	3	2	no	—
471	#424	—	3	2	no	—
472	#424	—	3	2	no	—
473	#424	—	3	2	no	—
474	#424	—	3	2	no	—
475	#424	—	3	2	no	—
476	#424	—	3	2	no	—
477	#423	—	3	1	no	—
478	#423	—	3	1	no	—
479	#423	—	3	1	no	—
480	#423	—	3	1	no	—
481	#423	—	3	2	no	—
482	#423	—	3	2	no	—
483	#423	—	3	1	no	—
484	#423	—	3	1	no	—
485	#423	—	3	1	no	—
486	#423	—	3	1	no	—
487	#423	—	3	1	no	—
488	#423	C₂×D₃	1	1	yes	characteristic
489	C₂×C₄⋊C₈	—	3	2	no	—
490	C₂×C₄⋊C₈	—	3	2	no	—
491	#407	—	3	1	no	—
492	#407	—	3	1	no	—
493	#407	—	3	1	no	—
494	#407	—	3	1	no	—
495	#407	C₂×D₃	1	1	yes	characteristic
496	#407	C₂×D₃	1	1	yes	characteristic
497	C₄×M₁₆	—	3	1	no	—
498	C₄×M₁₆	—	3	1	no	—
499	C₄×M₁₆	—	3	1	no	—
500	C₄×M₁₆	—	3	1	no	—
501	C₄×M₁₆	—	3	1	no	—
502	C₄×M₁₆	C₂×D₃	1	1	yes	characteristic
503	C₂⁴×C₃	C₂²×C₄	1	1	yes	characteristic
504	C₂⁴×C₃	C₂²×C₄	1	1	yes	characteristic
505	C₂³×D₃	C₂²×C₄	1	1	yes	characteristic
506	C₂×C₃×D₄	—	4	2	no	—
507	C₂×C₃×D₄	C₂²×C₄	1	1	yes	characteristic
508	C₂×C₃×D₄	C₂²×C₄	1	1	yes	characteristic
509	C₂×C₃×D₄	C₂²×C₄	1	1	yes	characteristic
510	C₂×C₃×D₄	C₂²×C₄	1	1	yes	characteristic
511	C₂²×C₃×C₄	—	2	2	no	—
512	C₂²×C₃×C₄	—	2	2	no	—
513	C₂²×C₃×C₄	—	2	2	no	—
514	C₂²×C₃×C₄	—	2	2	no	—
515	C₂²×C₃×C₄	C₂²×C₄	1	1	yes	characteristic
516	C₂²×C₃×C₄	C₂²×C₄	1	1	yes	characteristic
517	C₂²×C₃×C₄	C₂²×C₄	1	1	yes	characteristic
518	C₂²×C₃×C₄	C₂²×C₄	1	1	yes	characteristic
519	C₂²×C₃×C₄	C₂²×C₄	1	1	yes	characteristic
520	C₂²×C₃×C₄	C₂²×C₄	1	1	yes	characteristic
521	C₂²×C₃×C₄	C₂²×C₄	1	1	yes	characteristic
522	C₂²×C₃×C₄	C₂²×C₄	1	1	yes	characteristic
523	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
524	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
525	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
526	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
527	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
528	C₂×#67	—	4	2	no	—
529	C₂×#67	—	4	2	no	—
530	C₂×#67	C₂²×C₄	1	1	yes	characteristic
531	C₂×#67	C₂²×C₄	1	1	yes	characteristic
532	C₂×#67	C₂²×C₄	1	1	yes	characteristic
533	C₂×#67	C₂²×C₄	1	1	yes	characteristic
534	C₂×#67	C₂²×C₄	1	1	yes	characteristic
535	C₂×#67	C₂²×C₄	1	1	yes	characteristic
536	C₂×#67	C₂²×C₄	1	1	yes	characteristic
537	C₂×#67	C₂²×C₄	1	1	yes	characteristic
538	C₂²×Dic₃	—	4	2	no	—
539	C₂²×Dic₃	—	4	2	no	—
540	C₂²×Dic₃	C₂²×C₄	1	1	yes	characteristic
541	C₂²×Dic₃	C₂²×C₄	1	1	yes	characteristic
542	C₂²×Dic₃	C₂²×C₄	1	1	yes	characteristic
543	C₂²×Dic₃	C₂²×C₄	1	1	yes	characteristic
544	C₂²×Dic₃	C₂²×C₄	1	1	yes	characteristic
545	C₂²×Dic₃	C₂²×C₄	1	1	yes	characteristic
546	C₂²×Dic₃	C₂²×C₄	1	1	yes	characteristic
547	C₂²×Dic₃	C₂²×C₄	1	1	yes	characteristic
548	C₂²×Dic₃	C₂²×C₄	1	1	yes	characteristic
549	C₂²×Dic₃	C₂²×C₄	1	1	yes	characteristic
550	C₂²×Dic₃	C₂²×C₄	1	1	yes	characteristic
551	C₂²×Dic₃	C₂²×C₄	1	1	yes	characteristic
552	C₂²×Dic₃	C₂²×C₄	1	1	yes	characteristic
553	C₂²×Dic₃	C₂²×C₄	1	1	yes	characteristic
554	C₂²×Dic₃	C₂²×C₄	1	1	yes	characteristic
555	C₂×C₄×D₃	—	2	2	no	—
556	C₂×C₄×D₃	—	2	2	no	—
557	C₂×C₄×D₃	C₂²×C₄	1	1	yes	characteristic
558	C₂×C₄×D₃	C₂²×C₄	1	1	yes	characteristic
559	C₂×C₄×D₃	C₂⁴	1	1	yes	characteristic
560	C₂×C₄×D₃	C₂⁴	1	1	yes	characteristic
561	C₂×Dic₆	—	4	2	no	—
562	C₂×Dic₆	C₂²×C₄	1	1	yes	characteristic
563	C₂×Dic₆	C₂²×C₄	1	1	yes	characteristic
564	C₂×Dic₆	C₂²×C₄	1	1	yes	characteristic
565	C₂×Dic₆	C₂²×C₄	1	1	yes	characteristic
566	C₃×M₁₆	—	2	2	no	—
567	C₃×M₁₆	—	2	2	no	—
568	C₃×M₁₆	—	2	2	no	—
569	C₃×M₁₆	—	2	2	no	—
570	C₃×M₁₆	—	4	2	no	—
571	C₃×M₁₆	—	4	2	no	—
572	C₂×C₃×C₈	—	4	2	no	—
573	C₂×C₃×C₈	—	4	2	no	—
574	C₂×C₃×C₈	C₂⁴	1	2	yes	—
575	C₂×C₃×C₈	C₂⁴	1	2	yes	—
576	C₂×C₃×C₈	C₂⁴	1	2	yes	—
577	C₂×C₃×C₈	C₂⁴	1	2	yes	—
578	C₃×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
579	C₃×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
580	C₃×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
581	C₃×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
582	C₃×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
583	C₃×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
584	C₃×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
585	C₃×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
586	C₃×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
587	C₃×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
588	C₃×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
589	C₃×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
590	C₃×C₄²	C₂²×C₄	1	1	yes	characteristic
591	C₃×C₄²	C₂²×C₄	1	1	yes	characteristic
592	C₃×C₄²	C₂⁴	1	1	yes	characteristic
593	C₃×C₄²	C₂⁴	1	1	yes	characteristic
594	#217	C₂²×C₄	1	1	yes	characteristic
595	#217	C₂²×C₄	1	1	yes	characteristic
596	#217	C₂²×C₄	1	1	yes	characteristic
597	#217	C₂²×C₄	1	1	yes	characteristic
598	#217	C₂²×C₄	1	1	yes	characteristic
599	#217	C₂²×C₄	1	1	yes	characteristic
600	#217	C₂²×C₄	1	1	yes	characteristic
601	#217	C₂²×C₄	1	1	yes	characteristic
602	#217	C₂²×C₄	1	1	yes	characteristic
603	#217	C₂²×C₄	1	1	yes	characteristic
604	#217	C₂²×C₄	1	1	yes	characteristic
605	#217	C₂²×C₄	1	1	yes	characteristic
606	#217	C₂²×C₄	1	1	yes	characteristic
607	#217	C₂²×C₄	1	1	yes	characteristic
608	#217	C₂²×C₄	1	1	yes	characteristic
609	#217	C₂²×C₄	1	1	yes	characteristic
610	(C₂×D₃)⋊C₄	C₂²×C₄	1	1	yes	characteristic
611	(C₂×D₃)⋊C₄	C₂²×C₄	1	1	yes	characteristic
612	(C₂×D₃)⋊C₄	C₂²×C₄	1	1	yes	characteristic
613	(C₂×D₃)⋊C₄	C₂²×C₄	1	1	yes	characteristic
614	(C₂×D₃)⋊C₄	C₂²×C₄	1	1	yes	characteristic
615	(C₂×D₃)⋊C₄	C₂²×C₄	1	1	yes	characteristic
616	(C₂×D₃)⋊C₄	C₂²×C₄	1	1	yes	characteristic
617	(C₂×D₃)⋊C₄	C₂²×C₄	1	1	yes	characteristic
618	(C₂×D₃)⋊C₄	C₂²×C₄	1	1	yes	characteristic
619	(C₂×D₃)⋊C₄	C₂²×C₄	1	1	yes	characteristic
620	(C₂×D₃)⋊C₄	C₂²×C₄	1	1	yes	characteristic
621	(C₂×D₃)⋊C₄	C₂²×C₄	1	1	yes	characteristic
622	(C₂×D₃)⋊C₄	C₂²×C₄	1	1	yes	characteristic
623	(C₂×D₃)⋊C₄	C₂²×C₄	1	1	yes	characteristic
624	(C₂×D₃)⋊C₄	C₂²×C₄	1	1	yes	characteristic
625	(C₂×D₃)⋊C₄	C₂²×C₄	1	1	yes	characteristic
626	C₄⋊Dic₃	C₂²×C₄	1	1	yes	characteristic
627	C₄⋊Dic₃	C₂²×C₄	1	1	yes	characteristic
628	C₄⋊Dic₃	C₂²×C₄	1	1	yes	characteristic
629	C₄⋊Dic₃	C₂²×C₄	1	1	yes	characteristic
630	C₄⋊Dic₃	C₂²×C₄	1	1	yes	characteristic
631	C₄⋊Dic₃	C₂²×C₄	1	1	yes	characteristic
632	C₄⋊Dic₃	C₂²×C₄	1	1	yes	characteristic
633	C₄⋊Dic₃	C₂²×C₄	1	1	yes	characteristic
634	C₄⋊Dic₃	C₂²×C₄	1	1	yes	characteristic
635	C₄⋊Dic₃	C₂²×C₄	1	1	yes	characteristic
636	C₄⋊Dic₃	C₂²×C₄	1	1	yes	characteristic
637	C₄⋊Dic₃	C₂²×C₄	1	1	yes	characteristic
638	Dic₃⋊C₄	C₂²×C₄	1	1	yes	characteristic
639	Dic₃⋊C₄	C₂²×C₄	1	1	yes	characteristic
640	Dic₃⋊C₄	C₂²×C₄	1	1	yes	characteristic
641	Dic₃⋊C₄	C₂²×C₄	1	1	yes	characteristic
642	Dic₃⋊C₄	C₂²×C₄	1	1	yes	characteristic
643	Dic₃⋊C₄	C₂²×C₄	1	1	yes	characteristic
644	Dic₃⋊C₄	C₂²×C₄	1	1	yes	characteristic
645	Dic₃⋊C₄	C₂²×C₄	1	1	yes	characteristic
646	Dic₃⋊C₄	C₂²×C₄	1	1	yes	characteristic
647	Dic₃⋊C₄	C₂²×C₄	1	1	yes	characteristic
648	Dic₃⋊C₄	C₂²×C₄	1	1	yes	characteristic
649	Dic₃⋊C₄	C₂²×C₄	1	1	yes	characteristic
650	Dic₃⋊C₄	C₂²×C₄	1	1	yes	characteristic
651	Dic₃⋊C₄	C₂²×C₄	1	1	yes	characteristic
652	Dic₃⋊C₄	C₂²×C₄	1	1	yes	characteristic
653	Dic₃⋊C₄	C₂²×C₄	1	1	yes	characteristic
654	Dic₃⋊C₄	C₂²×C₄	1	1	yes	characteristic
655	Dic₃⋊C₄	C₂²×C₄	1	1	yes	characteristic
656	Dic₃⋊C₄	C₂²×C₄	1	1	yes	characteristic
657	Dic₃⋊C₄	C₂²×C₄	1	1	yes	characteristic
658	Dic₃⋊C₄	C₂²×C₄	1	1	yes	characteristic
659	Dic₃⋊C₄	C₂²×C₄	1	1	yes	characteristic
660	Dic₃⋊C₄	C₂²×C₄	1	1	yes	characteristic
661	Dic₃⋊C₄	C₂²×C₄	1	1	yes	characteristic
662	C₄×Dic₃	C₂²×C₄	1	1	yes	characteristic
663	C₄×Dic₃	C₂²×C₄	1	1	yes	characteristic
664	C₄×Dic₃	C₂²×C₄	1	1	yes	characteristic
665	C₄×Dic₃	C₂²×C₄	1	1	yes	characteristic
666	C₄×Dic₃	C₂²×C₄	1	1	yes	characteristic
667	C₄×Dic₃	C₂²×C₄	1	1	yes	characteristic
668	C₄×Dic₃	C₂²×C₄	1	1	yes	characteristic
669	C₄×Dic₃	C₂²×C₄	1	1	yes	characteristic
670	C₄×Dic₃	C₂²×C₄	1	1	yes	characteristic
671	C₄×Dic₃	C₂²×C₄	1	1	yes	characteristic
672	C₄×Dic₃	C₂²×C₄	1	1	yes	characteristic
673	C₄×Dic₃	C₂²×C₄	1	1	yes	characteristic
674	C₄×Dic₃	C₂²×C₄	1	1	yes	characteristic
675	C₄×Dic₃	C₂²×C₄	1	1	yes	characteristic
676	C₄×Dic₃	C₂⁴	1	1	yes	characteristic
677	C₄×Dic₃	C₂⁴	1	1	yes	characteristic
678	C₄×Dic₃	C₂⁴	1	1	yes	characteristic
679	C₄×Dic₃	C₂⁴	1	1	yes	characteristic
680	C₄×Dic₃	C₂⁴	1	1	yes	characteristic
681	C₄×Dic₃	C₂⁴	1	1	yes	characteristic
682	#208	—	2	2	no	—
683	#208	—	2	2	no	—
684	#208	—	2	2	no	—
685	#208	—	2	2	no	—
686	#208	—	4	2	no	—
687	#208	—	4	2	no	—
688	C₂×C₃⋊C₈	—	4	2	no	—
689	C₂×C₃⋊C₈	—	4	2	no	—
690	C₂×C₃⋊C₈	C₂⁴	1	2	yes	—
691	C₂×C₃⋊C₈	C₂⁴	1	2	yes	—
692	C₂×C₃⋊C₈	C₂⁴	1	2	yes	—
693	C₂×C₃⋊C₈	C₂⁴	1	2	yes	—
694	ΓL(1,𝔽₂₅)	—	4	2	no	—
695	ΓL(1,𝔽₂₅)	—	4	2	no	—
696	D₃×C₈	—	4	2	no	—
697	D₃×C₈	—	4	2	no	—
698	C₂²×Q₈	—	3	1	no	—
699	C₂²×D₄	—	3	1	no	—
700	C₂²×D₄	—	3	1	no	—
701	C₂²×D₄	C₄×D₃	1	1	yes	characteristic
702	C₂³×C₄	—	3	1	no	—
703	C₂³×C₄	—	3	1	no	—
704	C₂³×C₄	—	3	1	no	—
705	C₂³×C₄	C₂²×D₃	1	1	yes	characteristic
706	C₂³×C₄	C₂²×D₃	1	1	yes	characteristic
707	C₂×M₁₆	—	3	1	no	—
708	C₂×M₁₆	—	3	1	no	—
709	C₂×M₁₆	—	3	1	no	—
710	C₂×M₁₆	—	3	1	no	—
711	C₂×M₁₆	—	3	2	no	—
712	C₂×M₁₆	—	3	2	no	—
713	C₂×M₁₆	—	3	2	no	—
714	C₂×M₁₆	—	3	2	no	—
715	C₂×M₁₆	—	4	2	no	—
716	C₂×M₁₆	—	4	2	no	—
717	C₂×M₁₆	—	12	2	no	—
718	C₂×M₁₆	—	12	2	no	—
719	C₂×M₁₆	—	12	2	no	—
720	C₂×M₁₆	—	12	2	no	—
721	C₂×M₁₆	C₂²×D₃	1	1	yes	characteristic
722	C₂×M₁₆	C₂²×D₃	1	1	yes	characteristic
723	C₂×M₁₆	C₂²×D₃	1	1	yes	characteristic
724	C₂×M₁₆	C₂²×D₃	1	1	yes	characteristic
725	C₂×M₁₆	C₂²×D₃	1	2	yes	—
726	C₂×M₁₆	C₂²×D₃	1	2	yes	—
727	C₂²×C₈	—	3	2	no	—
728	C₂²×C₈	—	3	2	no	—
729	C₂²×C₈	—	3	2	no	—
730	C₂²×C₈	—	3	2	no	—
731	C₂²×C₈	C₂²×D₃	1	2	yes	—
732	C₂²×C₈	C₂²×D₃	1	2	yes	—
733	#126	—	3	1	no	—
734	#126	—	3	1	no	—
735	#126	—	3	1	no	—
736	#126	—	3	1	no	—
737	#126	—	3	1	no	—
738	#126	—	3	1	no	—
739	#126	—	3	1	no	—
740	#126	—	3	1	no	—
741	#126	—	3	1	no	—
742	#126	—	3	1	no	—
743	#126	—	3	1	no	—
744	#126	—	3	1	no	—
745	#126	—	3	1	no	—
746	#126	—	3	1	no	—
747	#126	—	3	1	no	—
748	#126	—	3	1	no	—
749	#125	—	3	1	no	—
750	#125	—	3	1	no	—
751	#125	—	3	1	no	—
752	#125	—	3	1	no	—
753	#125	—	3	1	no	—
754	#125	—	3	1	no	—
755	#125	—	3	1	no	—
756	#125	—	3	1	no	—
757	#124	—	3	1	no	—
758	#124	—	3	1	no	—
759	#124	—	3	1	no	—
760	#124	—	3	1	no	—
761	#124	—	3	1	no	—
762	#124	—	3	1	no	—
763	#124	—	3	1	no	—
764	#124	—	3	1	no	—
765	#123	—	3	1	no	—
766	#123	—	3	1	no	—
767	#123	—	3	1	no	—
768	#123	—	3	1	no	—
769	#123	—	3	1	no	—
770	#123	—	3	1	no	—
771	#123	—	3	1	no	—
772	#123	—	3	1	no	—
773	#123	—	3	1	no	—
774	#123	—	3	1	no	—
775	#123	—	3	1	no	—
776	#123	—	3	1	no	—
777	#123	—	3	1	no	—
778	#123	—	3	1	no	—
779	#123	—	3	1	no	—
780	#123	—	3	1	no	—
781	C₂²⋊Q₈	—	3	1	no	—
782	C₂²⋊Q₈	—	3	1	no	—
783	C₂²⋊Q₈	—	3	1	no	—
784	C₂²⋊Q₈	—	3	1	no	—
785	C₂²⋊Q₈	—	3	1	no	—
786	C₂²⋊Q₈	—	3	1	no	—
787	C₂²⋊Q₈	—	3	1	no	—
788	C₂²⋊Q₈	—	3	1	no	—
789	#121	—	3	1	no	—
790	#121	—	3	1	no	—
791	#121	—	3	1	no	—
792	#121	—	3	1	no	—
793	#121	—	3	1	no	—
794	#121	—	3	1	no	—
795	#121	—	3	1	no	—
796	#121	—	3	1	no	—
797	C₄×Q₈	—	3	1	no	—
798	C₄×Q₈	—	3	1	no	—
799	C₄×Q₈	—	3	1	no	—
800	C₄×Q₈	—	3	1	no	—
801	C₄×Q₈	—	3	1	no	—
802	C₄×Q₈	—	3	1	no	—
803	C₄×Q₈	—	3	1	no	—
804	C₄×Q₈	—	3	1	no	—
805	C₄×D₄	—	3	1	no	—
806	C₄×D₄	—	3	1	no	—
807	C₄×D₄	—	3	1	no	—
808	C₄×D₄	—	3	1	no	—
809	C₄×D₄	—	3	1	no	—
810	C₄×D₄	—	3	1	no	—
811	C₄×D₄	—	3	1	no	—
812	C₄×D₄	—	3	1	no	—
813	C₄×D₄	—	3	1	no	—
814	C₄×D₄	—	3	1	no	—
815	C₄×D₄	—	3	1	no	—
816	C₄×D₄	—	3	1	no	—
817	C₄×D₄	—	3	1	no	—
818	C₄×D₄	—	3	1	no	—
819	C₄×D₄	—	3	1	no	—
820	C₄×D₄	—	3	1	no	—
821	C₄×D₄	C₄×D₃	1	1	yes	characteristic
822	C₄×D₄	C₄×D₃	1	1	yes	characteristic
823	C₄×D₄	C₄×D₃	1	1	yes	characteristic
824	C₄×D₄	C₄×D₃	1	1	yes	characteristic
825	C₄×D₄	C₂²×D₃	1	1	yes	characteristic
826	C₄×D₄	C₂²×D₃	1	1	yes	characteristic
827	C₄×D₄	C₂²×D₃	1	1	yes	characteristic
828	C₄×D₄	C₂²×D₃	1	1	yes	characteristic
829	#117	—	3	1	no	—
830	#117	—	3	1	no	—
831	#117	—	3	1	no	—
832	#117	—	3	1	no	—
833	#117	—	3	1	no	—
834	#117	—	3	1	no	—
835	#117	—	3	1	no	—
836	#117	—	3	1	no	—
837	#117	—	3	1	no	—
838	#117	—	3	1	no	—
839	#117	—	3	1	no	—
840	#117	—	3	1	no	—
841	#117	—	3	1	no	—
842	#117	—	3	1	no	—
843	#117	—	3	1	no	—
844	#117	—	3	1	no	—
845	C₂×C₄⋊C₄	—	3	1	no	—
846	C₂×C₄⋊C₄	—	3	1	no	—
847	C₂×C₄⋊C₄	—	3	1	no	—
848	C₂×C₄⋊C₄	—	3	1	no	—
849	C₂×C₄⋊C₄	—	3	1	no	—
850	C₂×C₄⋊C₄	—	3	1	no	—
851	C₂×C₄⋊C₄	—	3	1	no	—
852	C₂×C₄⋊C₄	—	3	1	no	—
853	C₂×C₄⋊C₄	—	3	1	no	—
854	C₂×C₄⋊C₄	C₄×D₃	1	1	yes	characteristic
855	C₂×C₂²⋊C₄	—	3	1	no	—
856	C₂×C₂²⋊C₄	—	3	1	no	—
857	C₂×C₂²⋊C₄	—	3	1	no	—
858	C₂×C₂²⋊C₄	—	3	1	no	—
859	C₂×C₂²⋊C₄	—	3	1	no	—
860	C₂×C₂²⋊C₄	—	3	1	no	—
861	C₂×C₂²⋊C₄	—	3	1	no	—
862	C₂×C₂²⋊C₄	—	3	1	no	—
863	C₂×C₂²⋊C₄	C₄×D₃	1	1	yes	characteristic
864	C₂×C₂²⋊C₄	C₄×D₃	1	1	yes	characteristic
865	C₂×C₄²	—	3	1	no	—
866	C₂×C₄²	—	3	1	no	—
867	C₂×C₄²	—	3	1	no	—
868	C₂×C₄²	—	3	1	no	—
869	C₂×C₄²	—	3	1	no	—
870	C₂×C₄²	—	3	1	no	—
871	C₂×C₄²	—	3	1	no	—
872	C₂×C₄²	—	3	1	no	—
873	C₂×C₄²	—	3	1	no	—
874	C₂×C₄²	—	3	1	no	—
875	C₂×C₄²	—	3	1	no	—
876	C₂×C₄²	—	3	1	no	—
877	C₂×C₄²	—	3	1	no	—
878	C₂×C₄²	C₂²×D₃	1	1	yes	characteristic
879	C₄⋊C₈	—	3	2	no	—
880	C₄⋊C₈	—	3	2	no	—
881	C₄⋊C₈	—	3	2	no	—
882	C₄⋊C₈	—	3	2	no	—
883	C₄⋊C₈	—	3	2	no	—
884	C₄⋊C₈	—	3	2	no	—
885	C₄⋊C₈	—	3	2	no	—
886	C₄⋊C₈	—	3	2	no	—
887	C₄⋊C₈	—	3	2	no	—
888	C₄⋊C₈	—	3	2	no	—
889	C₄⋊C₈	—	3	2	no	—
890	C₄⋊C₈	—	3	2	no	—
891	C₄⋊C₈	—	3	2	no	—
892	C₄⋊C₈	—	3	2	no	—
893	C₄⋊C₈	—	3	2	no	—
894	C₄⋊C₈	—	3	2	no	—
895	C₄⋊C₈	—	3	2	no	—
896	C₄⋊C₈	—	3	2	no	—
897	C₄⋊C₈	C₂²×D₃	1	2	yes	—
898	C₄⋊C₈	C₂²×D₃	1	2	yes	—
899	C₂²⋊C₈	—	3	2	no	—
900	C₂²⋊C₈	—	3	2	no	—
901	C₂²⋊C₈	—	3	2	no	—
902	C₂²⋊C₈	—	3	2	no	—
903	C₂²⋊C₈	—	3	2	no	—
904	C₂²⋊C₈	—	3	2	no	—
905	C₂²⋊C₈	—	3	2	no	—
906	C₂²⋊C₈	—	3	2	no	—
907	C₂²⋊C₈	C₂²×D₃	1	2	yes	—
908	C₂²⋊C₈	C₂²×D₃	1	2	yes	—
909	C₂²⋊C₈	C₂²×D₃	1	2	yes	—
910	C₂²⋊C₈	C₂²×D₃	1	2	yes	—
911	#97	—	3	2	no	—
912	#97	—	3	2	no	—
913	#97	—	3	2	no	—
914	#97	—	3	2	no	—
915	#97	—	3	2	no	—
916	#97	C₂²×D₃	1	2	yes	—
917	C₄×C₈	—	3	2	no	—
918	C₄×C₈	—	3	2	no	—
919	C₄×C₈	—	3	2	no	—
920	C₄×C₈	—	3	2	no	—
921	C₄×C₈	—	3	2	no	—
922	C₄×C₈	C₂²×D₃	1	2	yes	—
923	C₂³×C₃	—	2	2	no	—
924	C₂³×C₃	—	2	2	no	—
925	C₂³×C₃	—	2	2	no	—
926	C₂³×C₃	—	4	1	no	—
927	C₂³×C₃	—	4	1	no	—
928	C₂³×C₃	—	4	1	no	—
929	C₂³×C₃	C₂³×C₄	1	1	yes	characteristic
930	C₂³×C₃	C₂³×C₄	1	1	yes	characteristic
931	C₂³×C₃	C₂³×C₄	1	1	yes	characteristic
932	C₂³×C₃	C₂³×C₄	1	1	yes	characteristic
933	C₂³×C₃	C₂³×C₄	1	1	yes	characteristic
934	C₂²×D₃	—	2	2	no	—
935	C₂²×D₃	—	4	1	no	—
936	C₂²×D₃	—	4	1	no	—
937	C₂²×D₃	C₂³×C₄	1	1	yes	characteristic
938	C₂²×D₃	C₂³×C₄	1	1	yes	characteristic
939	C₃×D₄	—	2	2	no	—
940	C₃×D₄	—	2	2	no	—
941	C₃×D₄	—	4	1	no	—
942	C₃×D₄	—	4	1	no	—
943	C₂×C₃×C₄	—	2	2	no	—
944	C₂×C₃×C₄	—	2	2	no	—
945	C₂×C₃×C₄	—	2	2	no	—
946	C₂×C₃×C₄	—	2	2	no	—
947	C₂×C₃×C₄	—	2	2	no	—
948	C₂×C₃×C₄	—	2	2	no	—
949	C₂×C₃×C₄	—	2	1	no	—
950	C₂×C₃×C₄	—	2	1	no	—
951	C₂×C₃×C₄	—	2	1	no	—
952	C₂×C₃×C₄	—	2	1	no	—
953	C₂×C₃×C₄	—	2	1	no	—
954	C₂×C₃×C₄	—	2	1	no	—
955	C₂×C₃×C₄	—	2	1	no	—
956	C₂×C₃×C₄	—	2	1	no	—
957	C₂×C₃×C₄	—	4	1	no	—
958	C₂×C₃×C₄	—	4	1	no	—
959	C₂×C₃×C₄	C₂³×C₄	1	1	yes	characteristic
960	C₂×C₃×C₄	C₂³×C₄	1	1	yes	characteristic
961	C₂×C₃×C₄	C₂³×C₄	1	1	yes	characteristic
962	C₂×C₃×C₄	C₂³×C₄	1	1	yes	characteristic
963	C₂×C₃×C₄	C₂³×C₄	1	1	yes	characteristic
964	C₂×C₃×C₄	C₂³×C₄	1	1	yes	characteristic
965	C₂×C₃×C₄	C₂³×C₄	1	1	yes	characteristic
966	C₂×C₃×C₄	C₂³×C₄	1	1	yes	characteristic
967	C₂×C₃×C₄	C₂³×C₄	1	1	yes	characteristic
968	C₂×C₃×C₄	H(5,𝔽₂)	1	2	yes	—
969	C₂×C₃×C₄	2₋¹⁺⁴	1	2	yes	—
970	C₂×C₃×C₄	C₂⁵	1	1	yes	characteristic
971	#67	—	2	2	no	—
972	#67	—	2	2	no	—
973	#67	—	2	2	no	—
974	#67	—	2	2	no	—
975	#67	—	4	1	no	—
976	#67	—	4	1	no	—
977	#67	—	4	1	no	—
978	#67	—	4	1	no	—
979	C₂×Dic₃	—	2	2	no	—
980	C₂×Dic₃	—	2	2	no	—
981	C₂×Dic₃	—	2	2	no	—
982	C₂×Dic₃	—	2	2	no	—
983	C₂×Dic₃	—	2	2	no	—
984	C₂×Dic₃	—	2	2	no	—
985	C₂×Dic₃	—	4	1	no	—
986	C₂×Dic₃	—	4	1	no	—
987	C₂×Dic₃	—	4	1	no	—
988	C₂×Dic₃	—	4	1	no	—
989	C₂×Dic₃	—	4	1	no	—
990	C₂×Dic₃	—	4	1	no	—
991	C₂×Dic₃	—	4	1	no	—
992	C₂×Dic₃	—	4	1	no	—
993	C₂×Dic₃	—	4	1	no	—
994	C₂×Dic₃	C₂³×C₄	1	1	yes	characteristic
995	C₂×Dic₃	C₂³×C₄	1	1	yes	characteristic
996	C₂×Dic₃	C₂³×C₄	1	1	yes	characteristic
997	C₂×Dic₃	C₂³×C₄	1	1	yes	characteristic
998	C₂×Dic₃	C₂³×C₄	1	1	yes	characteristic
999	C₂×Dic₃	C₂³×C₄	1	1	yes	characteristic
1000	C₂×Dic₃	C₂³×C₄	1	1	yes	characteristic
1001	C₂×Dic₃	C₂³×C₄	1	1	yes	characteristic
1002	C₂×Dic₃	C₂³×C₄	1	1	yes	characteristic
1003	C₂×Dic₃	C₂³×C₄	1	1	yes	characteristic
1004	C₂×Dic₃	C₂³×C₄	1	1	yes	characteristic
1005	C₂×Dic₃	C₂³×C₄	1	1	yes	characteristic
1006	C₂×Dic₃	C₂³×C₄	1	1	yes	characteristic
1007	C₂×Dic₃	C₂³×C₄	1	1	yes	characteristic
1008	C₄×D₃	—	2	2	no	—
1009	C₄×D₃	—	2	2	no	—
1010	C₄×D₃	—	2	1	no	—
1011	C₄×D₃	—	2	1	no	—
1012	C₄×D₃	—	2	1	no	—
1013	C₄×D₃	—	2	1	no	—
1014	Dic₆	—	2	2	no	—
1015	Dic₆	—	2	2	no	—
1016	Dic₆	—	4	1	no	—
1017	Dic₆	—	4	1	no	—
1018	C₃×C₈	—	2	2	no	—
1019	C₃×C₈	—	2	2	no	—
1020	C₃×C₈	—	2	2	no	—
1021	C₃×C₈	—	2	2	no	—
1022	C₃⋊C₈	—	2	2	no	—
1023	C₃⋊C₈	—	2	2	no	—
1024	C₃⋊C₈	—	2	2	no	—
1025	C₃⋊C₈	—	2	2	no	—
1026	C₂⁴	—	3	1	no	—
1027	C₂⁴	C₂×C₄×D₃	1	1	yes	characteristic
1028	C₂⁴	C₂×C₄×D₃	1	1	yes	characteristic
1029	C₂×Q₈	—	3	1	no	—
1030	C₂×Q₈	—	3	1	no	—
1031	C₂×Q₈	—	3	1	no	—
1032	C₂×Q₈	—	3	1	no	—
1033	C₂×Q₈	—	12	2	no	—
1034	C₂×D₄	—	3	1	no	—
1035	C₂×D₄	—	3	1	no	—
1036	C₂×D₄	—	3	1	no	—
1037	C₂×D₄	—	3	1	no	—
1038	C₂×D₄	—	3	1	no	—
1039	C₂×D₄	—	3	1	no	—
1040	C₂×D₄	—	3	1	no	—
1041	C₂×D₄	—	3	1	no	—
1042	C₂×D₄	—	4	2	no	—
1043	C₂×D₄	—	12	2	no	—
1044	C₂×D₄	—	12	2	no	—
1045	C₂×D₄	C₂×C₄×D₃	1	1	yes	characteristic
1046	C₂×D₄	C₂×C₄×D₃	1	1	yes	characteristic
1047	C₂×D₄	C₂×C₄×D₃	1	1	yes	characteristic
1048	C₂×D₄	C₂×C₄×D₃	1	1	yes	characteristic
1049	C₂²×C₄	—	2	2	no	—
1050	C₂²×C₄	—	2	2	no	—
1051	C₂²×C₄	—	2	2	no	—
1052	C₂²×C₄	—	2	2	no	—
1053	C₂²×C₄	—	3	1	no	—
1054	C₂²×C₄	—	3	1	no	—
1055	C₂²×C₄	—	3	1	no	—
1056	C₂²×C₄	—	3	1	no	—
1057	C₂²×C₄	—	3	1	no	—
1058	C₂²×C₄	—	3	1	no	—
1059	C₂²×C₄	—	3	1	no	—
1060	C₂²×C₄	—	3	1	no	—
1061	C₂²×C₄	—	3	1	no	—
1062	C₂²×C₄	—	3	1	no	—
1063	C₂²×C₄	—	3	1	no	—
1064	C₂²×C₄	—	3	1	no	—
1065	C₂²×C₄	—	3	1	no	—
1066	C₂²×C₄	—	3	1	no	—
1067	C₂²×C₄	—	3	1	no	—
1068	C₂²×C₄	—	3	1	no	—
1069	C₂²×C₄	—	3	1	no	—
1070	C₂²×C₄	—	3	1	no	—
1071	C₂²×C₄	—	3	1	no	—
1072	C₂²×C₄	—	6	2	no	—
1073	C₂²×C₄	—	6	2	no	—
1074	C₂²×C₄	—	12	2	no	—
1075	C₂²×C₄	—	12	2	no	—
1076	C₂²×C₄	C₂×C₄×D₃	1	1	yes	characteristic
1077	C₂²×C₄	C₂×C₄×D₃	1	1	yes	characteristic
1078	C₂²×C₄	C₂×C₄×D₃	1	1	yes	characteristic
1079	C₂²×C₄	C₂×C₄×D₃	1	1	yes	characteristic
1080	C₂²×C₄	C₂×C₄×D₃	1	1	yes	characteristic
1081	C₂²×C₄	C₂×C₄×D₃	1	1	yes	characteristic
1082	C₂²×C₄	C₂×C₄×D₃	1	1	yes	characteristic
1083	C₂²×C₄	C₂×C₄×D₃	1	1	yes	characteristic
1084	C₂²×C₄	C₂³×D₃	1	1	yes	characteristic
1085	C₂²×C₄	C₂³×D₃	1	1	yes	characteristic
1086	C₂²×C₄	C₂³×D₃	1	1	yes	characteristic
1087	C₂²×C₄	C₂³×D₃	1	1	yes	characteristic
1088	C₂²×C₄	C₂³×D₃	1	1	yes	characteristic
1089	M₁₆	—	2	2	no	—
1090	M₁₆	—	2	2	no	—
1091	M₁₆	—	2	2	no	—
1092	M₁₆	—	2	2	no	—
1093	M₁₆	—	4	2	no	—
1094	M₁₆	—	4	2	no	—
1095	M₁₆	—	6	2	no	—
1096	M₁₆	—	6	2	no	—
1097	M₁₆	—	6	2	no	—
1098	M₁₆	—	6	2	no	—
1099	M₁₆	—	12	2	no	—
1100	M₁₆	—	12	2	no	—
1101	M₁₆	—	12	2	no	—
1102	M₁₆	—	12	2	no	—
1103	C₂×C₈	—	3	2	no	—
1104	C₂×C₈	—	3	2	no	—
1105	C₂×C₈	—	3	2	no	—
1106	C₂×C₈	—	3	2	no	—
1107	C₂×C₈	—	4	2	no	—
1108	C₂×C₈	—	4	2	no	—
1109	C₂×C₈	—	12	2	no	—
1110	C₂×C₈	—	12	2	no	—
1111	C₂×C₈	—	12	2	no	—
1112	C₂×C₈	—	12	2	no	—
1113	C₂×C₈	C₂³×D₃	1	2	yes	—
1114	C₂×C₈	C₂³×D₃	1	2	yes	—
1115	C₂×C₈	C₂³×D₃	1	2	yes	—
1116	C₂×C₈	C₂³×D₃	1	2	yes	—
1117	C₄⋊C₄	—	3	1	no	—
1118	C₄⋊C₄	—	3	1	no	—
1119	C₄⋊C₄	—	3	1	no	—
1120	C₄⋊C₄	—	3	1	no	—
1121	C₄⋊C₄	—	3	1	no	—
1122	C₄⋊C₄	—	3	1	no	—
1123	C₄⋊C₄	—	3	1	no	—
1124	C₄⋊C₄	—	3	1	no	—
1125	C₄⋊C₄	—	3	1	no	—
1126	C₄⋊C₄	—	3	1	no	—
1127	C₄⋊C₄	—	3	1	no	—
1128	C₄⋊C₄	—	3	1	no	—
1129	C₄⋊C₄	—	3	1	no	—
1130	C₄⋊C₄	—	3	1	no	—
1131	C₄⋊C₄	—	3	1	no	—
1132	C₄⋊C₄	—	3	1	no	—
1133	C₄⋊C₄	—	3	1	no	—
1134	C₄⋊C₄	—	3	1	no	—
1135	C₄⋊C₄	—	3	1	no	—
1136	C₄⋊C₄	—	3	1	no	—
1137	C₄⋊C₄	—	3	1	no	—
1138	C₄⋊C₄	—	3	1	no	—
1139	C₄⋊C₄	—	3	1	no	—
1140	C₄⋊C₄	—	3	1	no	—
1141	C₄⋊C₄	—	3	1	no	—
1142	C₄⋊C₄	—	3	1	no	—
1143	C₄⋊C₄	—	3	1	no	—
1144	C₄⋊C₄	—	3	1	no	—
1145	C₄⋊C₄	—	3	1	no	—
1146	C₄⋊C₄	—	3	1	no	—
1147	C₄⋊C₄	—	3	1	no	—
1148	C₄⋊C₄	—	3	1	no	—
1149	C₄⋊C₄	—	3	1	no	—
1150	C₄⋊C₄	—	3	1	no	—
1151	C₄⋊C₄	—	3	1	no	—
1152	C₄⋊C₄	—	3	1	no	—
1153	C₄⋊C₄	C₂×C₄×D₃	1	1	yes	characteristic
1154	C₄⋊C₄	C₂×C₄×D₃	1	1	yes	characteristic
1155	C₄⋊C₄	C₂×C₄×D₃	1	1	yes	characteristic
1156	C₄⋊C₄	C₂×C₄×D₃	1	1	yes	characteristic
1157	C₂²⋊C₄	—	3	1	no	—
1158	C₂²⋊C₄	—	3	1	no	—
1159	C₂²⋊C₄	—	3	1	no	—
1160	C₂²⋊C₄	—	3	1	no	—
1161	C₂²⋊C₄	—	3	1	no	—
1162	C₂²⋊C₄	—	3	1	no	—
1163	C₂²⋊C₄	—	3	1	no	—
1164	C₂²⋊C₄	—	3	1	no	—
1165	C₂²⋊C₄	—	3	1	no	—
1166	C₂²⋊C₄	—	3	1	no	—
1167	C₂²⋊C₄	—	3	1	no	—
1168	C₂²⋊C₄	—	3	1	no	—
1169	C₂²⋊C₄	—	3	1	no	—
1170	C₂²⋊C₄	—	3	1	no	—
1171	C₂²⋊C₄	—	3	1	no	—
1172	C₂²⋊C₄	—	3	1	no	—
1173	C₂²⋊C₄	—	3	1	no	—
1174	C₂²⋊C₄	—	3	1	no	—
1175	C₂²⋊C₄	—	3	1	no	—
1176	C₂²⋊C₄	—	3	1	no	—
1177	C₂²⋊C₄	—	3	1	no	—
1178	C₂²⋊C₄	—	3	1	no	—
1179	C₂²⋊C₄	—	3	1	no	—
1180	C₂²⋊C₄	—	3	1	no	—
1181	C₂²⋊C₄	—	3	1	no	—
1182	C₂²⋊C₄	—	3	1	no	—
1183	C₂²⋊C₄	—	3	1	no	—
1184	C₂²⋊C₄	—	3	1	no	—
1185	C₂²⋊C₄	—	3	1	no	—
1186	C₂²⋊C₄	—	3	1	no	—
1187	C₂²⋊C₄	—	3	1	no	—
1188	C₂²⋊C₄	—	3	1	no	—
1189	C₂²⋊C₄	C₂×C₄×D₃	1	1	yes	characteristic
1190	C₂²⋊C₄	C₂×C₄×D₃	1	1	yes	characteristic
1191	C₂²⋊C₄	C₂×C₄×D₃	1	1	yes	characteristic
1192	C₂²⋊C₄	C₂×C₄×D₃	1	1	yes	characteristic
1193	C₂²⋊C₄	C₂×C₄×D₃	1	1	yes	characteristic
1194	C₂²⋊C₄	C₂×C₄×D₃	1	1	yes	characteristic
1195	C₂²⋊C₄	C₂×C₄×D₃	1	1	yes	characteristic
1196	C₂²⋊C₄	C₂×C₄×D₃	1	1	yes	characteristic
1197	C₄²	—	3	1	no	—
1198	C₄²	—	3	1	no	—
1199	C₄²	—	3	1	no	—
1200	C₄²	—	3	1	no	—
1201	C₄²	—	3	1	no	—
1202	C₄²	—	3	1	no	—
1203	C₄²	—	3	1	no	—
1204	C₄²	—	3	1	no	—
1205	C₄²	—	3	1	no	—
1206	C₄²	—	3	1	no	—
1207	C₄²	—	3	1	no	—
1208	C₄²	—	3	1	no	—
1209	C₄²	—	3	1	no	—
1210	C₄²	—	3	1	no	—
1211	C₄²	—	3	1	no	—
1212	C₄²	—	3	1	no	—
1213	C₄²	—	3	1	no	—
1214	C₄²	—	3	1	no	—
1215	C₄²	—	3	1	no	—
1216	C₄²	—	3	1	no	—
1217	C₄²	C₂×C₄×D₃	1	1	yes	characteristic
1218	C₄²	C₂×C₄×D₃	1	1	yes	characteristic
1219	C₄²	C₂³×D₃	1	1	yes	characteristic
1220	C₄²	C₂³×D₃	1	1	yes	characteristic
1221	C₂²×C₃	—	2	1	no	—
1222	C₂²×C₃	—	2	1	no	—
1223	C₂²×C₃	—	2	1	no	—
1224	C₂²×C₃	—	2	1	no	—
1225	C₂²×C₃	—	2	1	no	—
1226	C₂²×C₃	—	2	1	no	—
1227	C₂²×C₃	—	2	1	no	—
1228	C₂²×C₃	—	2	1	no	—
1229	C₂²×C₃	—	2	1	no	—
1230	C₂²×C₃	—	2	1	no	—
1231	C₂²×C₃	—	2	1	no	—
1232	C₂²×C₃	—	2	1	no	—
1233	C₂²×C₃	—	2	1	no	—
1234	C₂²×C₃	—	4	4	no	—
1235	C₂²×C₃	—	8	2	no	—
1236	C₂²×C₃	#520	1	2	yes	—
1237	C₂²×C₃	#568	1	2	yes	—
1238	C₂²×C₃	C₂⁴×C₄	1	1	yes	characteristic
1239	C₂×D₃	—	2	1	no	—
1240	C₂×D₃	—	2	1	no	—
1241	C₂×D₃	—	2	1	no	—
1242	C₂×D₃	—	2	1	no	—
1243	C₂×D₃	—	2	1	no	—
1244	C₂×D₃	—	2	1	no	—
1245	C₂×D₃	—	8	2	no	—
1246	C₃×C₄	—	2	1	no	—
1247	C₃×C₄	—	2	1	no	—
1248	C₃×C₄	—	2	1	no	—
1249	C₃×C₄	—	2	1	no	—
1250	C₃×C₄	—	2	1	no	—
1251	C₃×C₄	—	2	1	no	—
1252	C₃×C₄	—	2	1	no	—
1253	C₃×C₄	—	2	1	no	—
1254	C₃×C₄	#520	1	2	yes	—
1255	C₃×C₄	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1256	C₃×C₄	C₂×2₋¹⁺⁴	1	1	yes	characteristic
1257	Dic₃	—	2	1	no	—
1258	Dic₃	—	2	1	no	—
1259	Dic₃	—	2	1	no	—
1260	Dic₃	—	2	1	no	—
1261	Dic₃	—	2	1	no	—
1262	Dic₃	—	2	1	no	—
1263	Dic₃	—	2	1	no	—
1264	Dic₃	—	2	1	no	—
1265	Dic₃	—	2	1	no	—
1266	Dic₃	—	2	1	no	—
1267	Dic₃	—	2	1	no	—
1268	Dic₃	—	2	1	no	—
1269	Dic₃	—	2	1	no	—
1270	Dic₃	#568	1	2	yes	—
1271	C₂³	—	2	2	no	—
1272	C₂³	—	2	2	no	—
1273	C₂³	—	2	2	no	—
1274	C₂³	—	3	1	no	—
1275	C₂³	—	3	1	no	—
1276	C₂³	—	4	1	no	—
1277	C₂³	—	4	1	no	—
1278	C₂³	—	4	1	no	—
1279	C₂³	—	6	2	no	—
1280	C₂³	—	12	1	no	—
1281	C₂³	—	12	1	no	—
1282	C₂³	C₂²×C₄×D₃	1	1	yes	characteristic
1283	C₂³	C₂²×C₄×D₃	1	1	yes	characteristic
1284	C₂³	C₂²×C₄×D₃	1	1	yes	characteristic
1285	C₂³	C₂²×C₄×D₃	1	1	yes	characteristic
1286	C₂³	C₂²×C₄×D₃	1	1	yes	characteristic
1287	Q₈	—	6	2	no	—
1288	Q₈	—	6	2	no	—
1289	Q₈	—	12	1	no	—
1290	Q₈	—	12	1	no	—
1291	D₄	—	2	2	no	—
1292	D₄	—	2	2	no	—
1293	D₄	—	4	1	no	—
1294	D₄	—	4	1	no	—
1295	D₄	—	6	2	no	—
1296	D₄	—	6	2	no	—
1297	D₄	—	6	2	no	—
1298	D₄	—	6	2	no	—
1299	D₄	—	12	1	no	—
1300	D₄	—	12	1	no	—
1301	D₄	—	12	1	no	—
1302	D₄	—	12	1	no	—
1303	C₂×C₄	—	2	2	no	—
1304	C₂×C₄	—	2	2	no	—
1305	C₂×C₄	—	2	1	no	—
1306	C₂×C₄	—	2	1	no	—
1307	C₂×C₄	—	2	1	no	—
1308	C₂×C₄	—	2	1	no	—
1309	C₂×C₄	—	2	1	no	—
1310	C₂×C₄	—	2	1	no	—
1311	C₂×C₄	—	2	1	no	—
1312	C₂×C₄	—	2	1	no	—
1313	C₂×C₄	—	2	2	no	—
1314	C₂×C₄	—	2	2	no	—
1315	C₂×C₄	—	2	2	no	—
1316	C₂×C₄	—	2	2	no	—
1317	C₂×C₄	—	3	1	no	—
1318	C₂×C₄	—	3	1	no	—
1319	C₂×C₄	—	3	1	no	—
1320	C₂×C₄	—	3	1	no	—
1321	C₂×C₄	—	3	1	no	—
1322	C₂×C₄	—	3	1	no	—
1323	C₂×C₄	—	3	1	no	—
1324	C₂×C₄	—	3	1	no	—
1325	C₂×C₄	—	3	1	no	—
1326	C₂×C₄	—	3	1	no	—
1327	C₂×C₄	—	3	1	no	—
1328	C₂×C₄	—	3	1	no	—
1329	C₂×C₄	—	3	1	no	—
1330	C₂×C₄	—	3	1	no	—
1331	C₂×C₄	—	4	1	no	—
1332	C₂×C₄	—	4	1	no	—
1333	C₂×C₄	—	6	2	no	—
1334	C₂×C₄	—	6	2	no	—
1335	C₂×C₄	—	6	2	no	—
1336	C₂×C₄	—	6	2	no	—
1337	C₂×C₄	—	6	2	no	—
1338	C₂×C₄	—	6	2	no	—
1339	C₂×C₄	—	6	1	no	—
1340	C₂×C₄	—	6	1	no	—
1341	C₂×C₄	—	6	1	no	—
1342	C₂×C₄	—	6	1	no	—
1343	C₂×C₄	—	6	2	no	—
1344	C₂×C₄	—	6	2	no	—
1345	C₂×C₄	—	12	1	no	—
1346	C₂×C₄	—	12	1	no	—
1347	C₂×C₄	—	12	1	no	—
1348	C₂×C₄	—	12	1	no	—
1349	C₂×C₄	—	12	1	no	—
1350	C₂×C₄	—	12	1	no	—
1351	C₂×C₄	—	12	1	no	—
1352	C₂×C₄	—	12	1	no	—
1353	C₂×C₄	—	12	1	no	—
1354	C₂×C₄	C₂²×C₄×D₃	1	1	yes	characteristic
1355	C₂×C₄	C₂²×C₄×D₃	1	1	yes	characteristic
1356	C₂×C₄	C₂²×C₄×D₃	1	1	yes	characteristic
1357	C₂×C₄	C₂²×C₄×D₃	1	1	yes	characteristic
1358	C₂×C₄	C₂²×C₄×D₃	1	1	yes	characteristic
1359	C₂×C₄	C₂²×C₄×D₃	1	1	yes	characteristic
1360	C₂×C₄	C₂²×C₄×D₃	1	1	yes	characteristic
1361	C₂×C₄	C₂²×C₄×D₃	1	1	yes	characteristic
1362	C₂×C₄	C₂²×C₄×D₃	1	1	yes	characteristic
1363	C₂×C₄	#1004	1	2	yes	—
1364	C₂×C₄	#1010	1	2	yes	—
1365	C₂×C₄	C₂⁴×D₃	1	1	yes	characteristic
1366	C₈	—	2	2	no	—
1367	C₈	—	2	2	no	—
1368	C₈	—	2	2	no	—
1369	C₈	—	2	2	no	—
1370	C₈	—	6	2	no	—
1371	C₈	—	6	2	no	—
1372	C₈	—	6	2	no	—
1373	C₈	—	6	2	no	—
1374	C₂×C₃	—	2	2	no	—
1375	C₂×C₃	—	2	2	no	—
1376	C₂×C₃	—	4	1	no	—
1377	C₂×C₃	—	4	1	no	—
1378	C₂×C₃	—	4	1	no	—
1379	C₂×C₃	C₂×#520	1	1	yes	characteristic
1380	C₂×C₃	C₂×#568	1	1	yes	characteristic
1381	C₂×C₃	C₂×#568	1	1	yes	characteristic
1382	D₃	—	4	1	no	—
1383	D₃	—	4	1	no	—
1384	C₂²	—	2	1	no	—
1385	C₂²	—	2	1	no	—
1386	C₂²	—	2	1	no	—
1387	C₂²	—	2	1	no	—
1388	C₂²	—	2	1	no	—
1389	C₂²	—	2	1	no	—
1390	C₂²	—	2	1	no	—
1391	C₂²	—	2	1	no	—
1392	C₂²	—	2	1	no	—
1393	C₂²	—	2	1	no	—
1394	C₂²	—	2	1	no	—
1395	C₂²	—	2	1	no	—
1396	C₂²	—	2	1	no	—
1397	C₂²	—	4	4	no	—
1398	C₂²	—	6	1	no	—
1399	C₂²	—	6	1	no	—
1400	C₂²	—	6	1	no	—
1401	C₂²	—	6	1	no	—
1402	C₂²	—	6	1	no	—
1403	C₂²	—	6	1	no	—
1404	C₂²	—	8	2	no	—
1405	C₂²	—	24	2	no	—
1406	C₂²	#5546	1	2	yes	—
1407	C₂²	#5745	1	2	yes	—
1408	C₂²	C₂³×C₄×D₃	1	1	yes	characteristic
1409	C₄	—	2	1	no	—
1410	C₄	—	2	1	no	—
1411	C₄	—	2	1	no	—
1412	C₄	—	2	1	no	—
1413	C₄	—	2	1	no	—
1414	C₄	—	2	1	no	—
1415	C₄	—	2	1	no	—
1416	C₄	—	2	1	no	—
1417	C₄	—	3	2	no	—
1418	C₄	—	6	1	no	—
1419	C₄	—	6	1	no	—
1420	C₄	—	6	1	no	—
1421	C₄	—	6	1	no	—
1422	C₄	—	6	1	no	—
1423	C₄	—	6	1	no	—
1424	C₄	—	6	1	no	—
1425	C₄	—	6	1	no	—
1426	C₄	—	6	1	no	—
1427	C₄	—	6	1	no	—
1428	C₄	—	6	1	no	—
1429	C₄	—	6	1	no	—
1430	C₄	—	6	1	no	—
1431	C₄	#5546	1	2	yes	—
1432	C₄	C₂×#1004	1	1	yes	characteristic
1433	C₄	C₂×#1010	1	1	yes	characteristic
1434	C₃	#60264	1	1	yes	characteristic, complemented, Sylow
1435	C₂	—	2	2	no	—
1436	C₂	—	2	2	no	—
1437	C₂	—	4	1	no	—
1438	C₂	—	4	1	no	—
1439	C₂	—	4	1	no	—
1440	C₂	—	12	1	no	—
1441	C₂	—	12	1	no	—
1442	C₂	C₂×#5546	1	1	yes	characteristic
1443	C₂	C₂×#5745	1	1	yes	characteristic
1444	C₂	D₃×#568	1	1	yes	characteristic

	subgroup	G/H
center, Frattini	C₂×C₄	C₂⁴×D₃
commutator, socle	C₂²×C₃	C₂⁴×C₄
Fitting	C₃×D₄×M₁₆	C₂
prime radical	C₂×#939	C₄
cosocle	C₂×C₃×C₄	C₂⁵
hypercenter	D₄×M₁₆	D₃
hypocenter	C₃	#60264
LCS	G ▷ C₂²×C₃ ▷ C₃
UCS	C₁ ◁ C₂×C₄ ◁ D₄×M₁₆

Complements

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

N	H ≅ G/N	type
2. C₃×D₄×M₁₆	C₂	semidirect
3. M₁₆×#67	C₂	semidirect
4. M₁₆×#67	C₂	semidirect
5. #83750	C₂	semidirect
6. C₂×#5118	C₂	semidirect
7. D₄×#208	C₂	semidirect
8. #79528	C₂	semidirect
9. #79525	C₂	semidirect
10. #79467	C₂	semidirect
11. #79466	C₂	semidirect
12. #79465	C₂	semidirect
13. #79463	C₂	semidirect
14. #79409	C₂	semidirect
15. #79407	C₂	semidirect
16. #79048	C₂	semidirect
17. #79046	C₂	semidirect
18. #78628	C₂	semidirect
19. #78628	C₂	semidirect
20. #78620	C₂	semidirect
21. #78619	C₂	semidirect
22. #78518	C₂	semidirect
23. M₁₆×Dic₆	C₂	semidirect
62. C₃×#436	C₂²	semidirect
63. C₃×#435	C₂²	semidirect
64. C₃×#435	C₂²	semidirect
65. C₃×C₈×D₄	C₂²	semidirect
72. #5128	C₂²	semidirect
73. #5128	C₂²	semidirect
74. #5127	C₂²	semidirect
75. #5127	C₂²	semidirect
78. #5119	C₂²	semidirect
79. #5119	C₂²	semidirect
88. #5118	C₂²	semidirect
89. #5118	C₂²	semidirect
94. #5111	C₂²	semidirect
95. #5111	C₂²	semidirect
96. C₈×#67	C₂²	semidirect
97. C₈×#67	C₂²	semidirect
98. #5102	C₂²	semidirect
99. #5102	C₂²	semidirect
100. C₂×Dic₃⋊C₈	C₂²	semidirect
101. C₂×Dic₃⋊C₈	C₂²	semidirect
102. #5012	C₂²	semidirect
103. #5011	C₂²	semidirect
104. #5011	C₂²	semidirect
105. D₄×C₃⋊C₈	C₂²	semidirect
108. #4839	C₂²	semidirect
109. #4839	C₂²	semidirect
110. #4839	C₂²	semidirect
111. #4839	C₂²	semidirect
112. #4831	C₂²	semidirect
113. #4830	C₂²	semidirect
114. #4828	C₂²	semidirect
115. #4828	C₂²	semidirect
116. #4730	C₂²	semidirect
117. #4730	C₂²	semidirect
118. #4729	C₂²	semidirect
119. #4729	C₂²	semidirect
120. #4728	C₂²	semidirect
121. #4728	C₂²	semidirect
122. #67⋊C₈	C₂²	semidirect
123. #67⋊C₈	C₂²	semidirect
124. #4720	C₂²	semidirect
125. #4720	C₂²	semidirect
126. #4720	C₂²	semidirect
127. #4720	C₂²	semidirect
128. #4719	C₂²	semidirect
129. #4719	C₂²	semidirect
130. #4718	C₂²	semidirect
131. #4718	C₂²	semidirect
132. #4709	C₂²	semidirect
133. #4709	C₂²	semidirect
134. #4701	C₂²	semidirect
135. #4701	C₂²	semidirect
136. #4690	C₂²	semidirect
137. #4690	C₂²	semidirect
138. #4679	C₂²	semidirect
139. C₈×Dic₆	C₂²	semidirect
156. D₄×M₁₆	D₃	semidirect
438. #436	C₂×D₃	semidirect
449. #435	C₂×D₃	semidirect
450. #435	C₂×D₃	semidirect
456. C₈×D₄	C₂×D₃	semidirect
1434. C₃	#60264	semidirect

Maximal subgroups

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

subgroup	index
C₂×#5538	2
C₃×D₄×M₁₆	2
M₁₆×#67	2
#83750	2
C₂×#5118	2
D₄×#208	2
#79528	2
#79525	2
#79467	2
#79466	2
#79465	2
#79463	2
#79409	2
#79407	2
#79048	2
#79046	2
#78628	2
#78620	2
#78619	2
#78518	2
M₁₆×Dic₆	2
#60264	3