Subgroups — C₃×#61804 #10680411

Order 768.

1756 conjugacy classes of subgroups.

The subgroup lattice has 1732 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₃×#3551	C₂	1	1	yes	maximal, characteristic, complemented
2	C₃×#3506	C₂	1	1	yes	maximal, characteristic, complemented
3	C₃×#3355	C₂	1	1	yes	maximal, characteristic, complemented
4	C₃×#3351	C₂	1	1	yes	maximal, characteristic, complemented
5	C₃×#3348	C₂	1	1	yes	maximal, characteristic, complemented
6	C₃×#3347	C₂	1	1	yes	maximal, characteristic, complemented
7	C₃×#3345	C₂	1	1	yes	maximal, characteristic, complemented
8	C₃×#3343	C₂	1	1	yes	maximal, characteristic, complemented
9	C₃×#3339	C₂	1	1	yes	maximal, characteristic, complemented
10	C₃×#3337	C₂	1	1	yes	maximal, characteristic, complemented
11	C₃×#3326	C₂	1	1	yes	maximal, characteristic, complemented
12	C₃×#3322	C₂	1	1	yes	maximal, characteristic, complemented
13	C₃×#3321	C₂	1	1	yes	maximal, characteristic, complemented
14	C₃×#3319	C₂	1	1	yes	maximal, characteristic, complemented
15	C₃×#3308	C₂	1	1	yes	maximal, characteristic, complemented
16	C₃×#3306	C₂	1	1	yes	maximal, characteristic, complemented
17	C₃×#3301	C₂	1	1	yes	maximal, characteristic, complemented
18	C₃×#3297	C₂	1	1	yes	maximal, characteristic, complemented
19	C₃×#3240	C₂	1	1	yes	maximal, characteristic, complemented
20	C₃×#3233	C₂	1	1	yes	maximal, characteristic, complemented
21	C₃×#3200	C₂	1	1	yes	maximal, characteristic, complemented
22	C₃×#3199	C₂	1	1	yes	maximal, characteristic, complemented
23	C₃×#3198	C₂	1	1	yes	maximal, characteristic, complemented
24	C₃×#3198	C₂	1	1	yes	maximal, characteristic, complemented
25	C₃×#3114	C₂	1	1	yes	maximal, characteristic, complemented
26	C₃×#3105	C₂	1	1	yes	maximal, characteristic, complemented
27	C₃×#3099	C₂	1	1	yes	maximal, characteristic, complemented
28	C₃×#3098	C₂	1	1	yes	maximal, characteristic, complemented
29	C₃×#3097	C₂	1	1	yes	maximal, characteristic, complemented
30	C₃×#3096	C₂	1	1	yes	maximal, characteristic, complemented
31	C₃×#2981	C₂	1	1	yes	maximal, characteristic, complemented
32	#61804	C₃	1	1	yes	maximal, characteristic, direct product factor, Sylow
33	C₃×#563	—	2	1	no	—
34	C₃×#560	—	2	1	no	—
35	C₃×#559	—	2	1	no	—
36	C₃×#559	—	2	1	no	—
37	C₃×#556	—	2	1	no	—
38	C₃×#555	—	2	1	no	—
39	C₃×#555	C₂²	1	1	yes	characteristic
40	C₃×#555	C₂²	1	1	yes	characteristic, complemented
41	C₃×#553	C₂²	1	1	yes	characteristic
42	C₃×#553	C₂²	1	1	yes	characteristic
43	C₃×#553	C₂²	1	1	yes	characteristic, complemented
44	C₃×#553	C₂²	1	1	yes	characteristic, complemented
45	C₃×#553	C₂²	1	1	yes	characteristic, complemented
46	C₃×#553	C₂²	1	1	yes	characteristic, complemented
47	C₃×#552	C₂²	1	1	yes	characteristic, complemented
48	C₃×#552	C₂²	1	1	yes	characteristic, complemented
49	C₃×#551	—	2	1	no	—
50	C₃×#550	—	2	1	no	—
51	C₃×#548	C₂²	1	1	yes	characteristic, complemented
52	C₃×#548	C₂²	1	1	yes	characteristic, complemented
53	C₃×#547	C₂²	1	1	yes	characteristic
54	C₃×#547	C₂²	1	1	yes	characteristic, complemented
55	C₃×#546	C₂²	1	1	yes	characteristic, complemented
56	C₃×#546	C₂²	1	1	yes	characteristic, complemented
57	C₃×#540	—	2	1	no	—
58	C₃×#540	—	2	1	no	—
59	C₃×#538	—	2	1	no	—
60	C₃×#538	—	2	1	no	—
61	C₃×#538	—	2	1	no	—
62	C₃×#538	—	2	1	no	—
63	C₃×#537	C₂²	1	1	yes	characteristic
64	C₃×#537	C₂²	1	1	yes	characteristic
65	C₃×#536	C₂²	1	1	yes	characteristic
66	C₃×#535	C₂²	1	1	yes	characteristic
67	C₃×#535	C₂²	1	1	yes	characteristic
68	C₃×#535	C₂²	1	1	yes	characteristic, complemented
69	C₃×#533	C₂²	1	1	yes	characteristic, complemented
70	C₃×#532	C₂²	1	1	yes	characteristic
71	C₃×#529	C₂²	1	1	yes	characteristic
72	C₃×#529	C₂²	1	1	yes	characteristic
73	C₃×#525	—	2	1	no	—
74	C₃×#525	—	2	1	no	—
75	C₃×#520	C₂²	1	1	yes	characteristic
76	C₃×#520	C₂²	1	1	yes	characteristic, complemented
77	C₂×C₃×C₄×D₄	C₂²	1	1	yes	characteristic, complemented
78	C₃×#501	C₂²	1	1	yes	characteristic, complemented
79	C₃×#501	C₂²	1	1	yes	characteristic, complemented
80	C₃×#499	C₂²	1	1	yes	characteristic, complemented
81	C₃×#499	C₂²	1	1	yes	characteristic, complemented
82	C₃×#489	C₂²	1	1	yes	characteristic, complemented
83	C₃×#489	C₂²	1	1	yes	characteristic, complemented
84	C₃×#488	C₂²	1	1	yes	characteristic, complemented
85	C₃×#488	C₂²	1	1	yes	characteristic, complemented
86	C₃×#485	C₂²	1	1	yes	characteristic, complemented
87	C₃×#485	C₂²	1	1	yes	characteristic, complemented
88	C₃×#485	C₂²	1	1	yes	characteristic, complemented
89	C₃×#485	C₂²	1	1	yes	characteristic, complemented
90	C₃×#485	C₂²	1	1	yes	characteristic, complemented
91	C₃×#485	C₂²	1	1	yes	characteristic, complemented
92	C₃×#485	C₂²	1	1	yes	characteristic, complemented
93	C₃×#485	C₂²	1	1	yes	characteristic, complemented
94	C₃×#484	C₂²	1	1	yes	characteristic, complemented
95	C₃×#484	C₂²	1	1	yes	characteristic, complemented
96	C₃×#484	C₂²	1	1	yes	characteristic, complemented
97	C₃×#483	C₂²	1	1	yes	characteristic, complemented
98	C₃×#483	C₂²	1	1	yes	characteristic, complemented
99	C₃×#483	C₂²	1	1	yes	characteristic, complemented
100	C₃×#482	C₂²	1	1	yes	characteristic
101	C₃×#482	C₂²	1	1	yes	characteristic
102	C₃×#482	C₂²	1	1	yes	characteristic
103	C₃×#482	C₂²	1	1	yes	characteristic
104	C₃×#482	C₂²	1	1	yes	characteristic
105	C₃×#482	C₂²	1	1	yes	characteristic
106	C₃×#482	C₂²	1	1	yes	characteristic, complemented
107	C₃×#482	C₂²	1	1	yes	characteristic, complemented
108	C₃×#482	C₂²	1	1	yes	characteristic, complemented
109	C₃×#482	C₂²	1	1	yes	characteristic, complemented
110	C₃×#482	C₂²	1	1	yes	characteristic, complemented
111	C₃×#482	C₂²	1	1	yes	characteristic, complemented
112	C₃×#481	C₂²	1	1	yes	characteristic
113	C₃×#481	C₂²	1	1	yes	characteristic, complemented
114	C₃×#481	C₂²	1	1	yes	characteristic, complemented
115	C₃×#481	C₂²	1	1	yes	characteristic, complemented
116	C₃×#481	C₂²	1	1	yes	characteristic, complemented
117	C₃×#480	C₂²	1	1	yes	characteristic
118	C₃×#480	C₂²	1	1	yes	characteristic, complemented
119	C₃×#480	C₂²	1	1	yes	characteristic, complemented
120	C₃×#480	C₂²	1	1	yes	characteristic, complemented
121	C₃×#480	C₂²	1	1	yes	characteristic, complemented
122	C₃×#479	C₂²	1	1	yes	characteristic, complemented
123	C₃×#479	C₂²	1	1	yes	characteristic, complemented
124	C₃×#478	C₂²	1	1	yes	characteristic, complemented
125	C₃×#478	C₂²	1	1	yes	characteristic, complemented
126	C₃×#478	C₂²	1	1	yes	characteristic, complemented
127	C₃×#478	C₂²	1	1	yes	characteristic, complemented
128	C₃×#478	C₂²	1	1	yes	characteristic, complemented
129	C₃×#478	C₂²	1	1	yes	characteristic, complemented
130	C₃×#477	C₂²	1	1	yes	characteristic, complemented
131	C₃×#476	C₂²	1	1	yes	characteristic, complemented
132	C₃×#475	C₂²	1	1	yes	characteristic, complemented
133	C₃×#474	C₂²	1	1	yes	characteristic, complemented
134	C₃×#469	C₂²	1	1	yes	characteristic
135	C₃×#469	C₂²	1	1	yes	characteristic
136	C₃×#469	C₂²	1	1	yes	characteristic
137	C₃×#469	C₂²	1	1	yes	characteristic
138	C₃×#468	C₂²	1	1	yes	characteristic
139	C₃×#468	C₂²	1	1	yes	characteristic
140	C₃×#468	C₂²	1	1	yes	characteristic, complemented
141	C₃×#468	C₂²	1	1	yes	characteristic, complemented
142	C₃×#466	C₂²	1	1	yes	characteristic
143	C₃×#466	C₂²	1	1	yes	characteristic
144	C₃×#466	C₂²	1	1	yes	characteristic
145	C₃×#466	C₂²	1	1	yes	characteristic
146	C₃×#465	C₂²	1	1	yes	characteristic
147	C₃×#465	C₂²	1	1	yes	characteristic
148	C₃×#465	C₂²	1	1	yes	characteristic, complemented
149	C₃×#465	C₂²	1	1	yes	characteristic, complemented
150	C₃×#463	C₂²	1	1	yes	characteristic
151	C₃×#463	C₂²	1	1	yes	characteristic
152	C₃×#463	C₂²	1	1	yes	characteristic
153	C₃×#463	C₂²	1	1	yes	characteristic
154	C₃×#450	C₂²	1	1	yes	characteristic, complemented
155	C₃×#450	C₂²	1	1	yes	characteristic, complemented
156	C₃×#449	C₂²	1	1	yes	characteristic
157	C₃×#449	C₂²	1	1	yes	characteristic
158	C₃×#449	C₂²	1	1	yes	characteristic
159	C₃×#449	C₂²	1	1	yes	characteristic
160	C₃×#448	C₂²	1	1	yes	characteristic, complemented
161	C₃×#448	C₂²	1	1	yes	characteristic, complemented
162	C₃×#447	C₂²	1	1	yes	characteristic
163	C₃×#447	C₂²	1	1	yes	characteristic
164	C₃×#447	C₂²	1	1	yes	characteristic
165	C₃×#447	C₂²	1	1	yes	characteristic
166	C₃×#442	C₂²	1	1	yes	characteristic
167	C₃×#442	C₂²	1	1	yes	characteristic
168	C₃×#440	C₂²	1	1	yes	characteristic, complemented
169	C₃×#440	C₂²	1	1	yes	characteristic, complemented
170	C₃×C₄×SD₁₆	C₂²	1	1	yes	characteristic, complemented
171	C₃×C₄×SD₁₆	C₂²	1	1	yes	characteristic, complemented
172	C₃×C₄×D₈	C₂²	1	1	yes	characteristic
173	C₃×C₄×D₈	C₂²	1	1	yes	characteristic
174	C₃×#436	C₂²	1	1	yes	characteristic, complemented
175	C₃×#436	C₂²	1	1	yes	characteristic, complemented
176	C₃×#435	C₂²	1	1	yes	characteristic, complemented
177	C₃×#435	C₂²	1	1	yes	characteristic, complemented
178	C₃×#435	C₂²	1	1	yes	characteristic, complemented
179	C₃×#435	C₂²	1	1	yes	characteristic, complemented
180	C₃×C₈×D₄	C₂²	1	1	yes	characteristic, complemented
181	C₃×C₈×D₄	C₂²	1	1	yes	characteristic, complemented
182	C₃×#432	C₂²	1	1	yes	characteristic, complemented
183	C₃×#431	C₂²	1	1	yes	characteristic, complemented
184	C₃×#428	C₂²	1	1	yes	characteristic, complemented
185	C₃×#428	C₂²	1	1	yes	characteristic, complemented
186	C₃×#428	C₂²	1	1	yes	characteristic, complemented
187	C₃×#428	C₂²	1	1	yes	characteristic, complemented
188	C₃×#427	C₂²	1	1	yes	characteristic, complemented
189	C₃×#427	C₂²	1	1	yes	characteristic, complemented
190	C₂×C₃×#107	C₂²	1	1	yes	characteristic, complemented
191	C₂×C₃×#106	C₂²	1	1	yes	characteristic, complemented
192	C₃×#419	C₂²	1	1	yes	characteristic, complemented
193	C₃×#418	C₂²	1	1	yes	characteristic, complemented
194	C₃×#417	C₂²	1	1	yes	characteristic, complemented
195	C₃×#417	C₂²	1	1	yes	characteristic, complemented
196	C₃×#416	C₂²	1	1	yes	characteristic, complemented
197	C₃×#416	C₂²	1	1	yes	characteristic, complemented
198	C₂×C₃×#103	C₂²	1	1	yes	characteristic, complemented
199	C₂×C₃×#102	C₂²	1	1	yes	characteristic, complemented
200	C₃×#408	C₂²	1	1	yes	characteristic
201	C₃×#408	C₂²	1	1	yes	characteristic
202	C₃×#408	C₂²	1	1	yes	characteristic, complemented
203	C₃×#408	C₂²	1	1	yes	characteristic, complemented
204	#3551	C₂×C₃	1	1	yes	characteristic, complemented
205	#3506	C₂×C₃	1	1	yes	characteristic, complemented
206	#3355	C₂×C₃	1	1	yes	characteristic, complemented
207	#3351	C₂×C₃	1	1	yes	characteristic, complemented
208	#3348	C₂×C₃	1	1	yes	characteristic, complemented
209	#3347	C₂×C₃	1	1	yes	characteristic, complemented
210	#3345	C₂×C₃	1	1	yes	characteristic, complemented
211	#3343	C₂×C₃	1	1	yes	characteristic, complemented
212	#3339	C₂×C₃	1	1	yes	characteristic, complemented
213	#3337	C₂×C₃	1	1	yes	characteristic, complemented
214	#3326	C₂×C₃	1	1	yes	characteristic, complemented
215	#3322	C₂×C₃	1	1	yes	characteristic, complemented
216	#3321	C₂×C₃	1	1	yes	characteristic, complemented
217	#3319	C₂×C₃	1	1	yes	characteristic, complemented
218	#3308	C₂×C₃	1	1	yes	characteristic, complemented
219	#3306	C₂×C₃	1	1	yes	characteristic, complemented
220	#3301	C₂×C₃	1	1	yes	characteristic, complemented
221	#3297	C₂×C₃	1	1	yes	characteristic, complemented
222	#3240	C₂×C₃	1	1	yes	characteristic, complemented
223	#3233	C₂×C₃	1	1	yes	characteristic, complemented
224	#3200	C₂×C₃	1	1	yes	characteristic, complemented
225	#3199	C₂×C₃	1	1	yes	characteristic, complemented
226	#3198	C₂×C₃	1	1	yes	characteristic, complemented
227	#3198	C₂×C₃	1	1	yes	characteristic, complemented
228	#3114	C₂×C₃	1	1	yes	characteristic, complemented
229	#3105	C₂×C₃	1	1	yes	characteristic, complemented
230	#3099	C₂×C₃	1	1	yes	characteristic, complemented
231	#3098	C₂×C₃	1	1	yes	characteristic, complemented
232	#3097	C₂×C₃	1	1	yes	characteristic, complemented
233	#3096	C₂×C₃	1	1	yes	characteristic, complemented
234	#2981	C₂×C₃	1	1	yes	characteristic, complemented
235	C₂×C₃×#41	—	2	1	no	—
236	C₂×C₃×#41	—	2	1	no	—
237	C₂×C₃×#41	C₂³	1	1	yes	characteristic
238	C₂×C₃×#41	C₂³	1	1	yes	characteristic
239	C₂×C₃×#41	C₂³	1	1	yes	characteristic
240	C₂×C₃×#41	C₂³	1	1	yes	characteristic
241	C₂²×C₃×Q₈	C₂³	1	1	yes	characteristic
242	C₂²×C₃×D₄	C₂³	1	1	yes	characteristic
243	C₂²×C₃×D₄	C₂³	1	1	yes	characteristic
244	C₂³×C₃×C₄	—	2	1	no	—
245	C₂×C₃×SD₁₆	C₂³	1	1	yes	characteristic
246	C₂×C₃×SD₁₆	C₂³	1	1	yes	characteristic
247	C₂×C₃×SD₁₆	C₂³	1	1	yes	characteristic
248	C₂×C₃×SD₁₆	C₂³	1	1	yes	characteristic
249	C₂×C₃×D₈	C₂³	1	1	yes	characteristic
250	C₂×C₃×D₈	C₂³	1	1	yes	characteristic
251	C₂×C₃×D₈	C₂³	1	1	yes	characteristic
252	C₂×C₃×D₈	C₂³	1	1	yes	characteristic
253	C₂×C₃×M₁₆	C₂³	1	1	yes	characteristic
254	C₂×C₃×M₁₆	C₂³	1	1	yes	characteristic
255	C₂×C₃×M₁₆	C₂³	1	1	yes	characteristic
256	C₂×C₃×M₁₆	C₂³	1	1	yes	characteristic
257	C₂²×C₃×C₈	C₂³	1	1	yes	characteristic
258	C₂²×C₃×C₈	C₂³	1	1	yes	characteristic
259	C₂²×C₃×C₈	C₂³	1	1	yes	characteristic
260	C₂²×C₃×C₈	C₂³	1	1	yes	characteristic
261	C₃×C₄⋊Q₈	—	2	1	no	—
262	C₃×C₄⋊Q₈	D₄	1	1	yes	characteristic
263	C₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
264	C₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
265	C₃×#127	—	2	1	no	—
266	C₃×#127	—	2	1	no	—
267	C₃×#127	—	2	1	no	—
268	C₃×#127	D₄	1	1	yes	characteristic
269	C₃×#126	—	2	1	no	—
270	C₃×#126	—	2	1	no	—
271	C₃×#126	—	2	1	no	—
272	C₃×#126	—	2	1	no	—
273	C₃×#126	—	2	1	no	—
274	C₃×#126	—	2	1	no	—
275	C₃×#126	—	2	1	no	—
276	C₃×#126	—	2	1	no	—
277	C₃×#126	—	2	1	no	—
278	C₃×#126	—	2	1	no	—
279	C₃×#125	—	2	1	no	—
280	C₃×#125	—	2	1	no	—
281	C₃×#125	C₂³	1	1	yes	characteristic
282	C₃×#125	C₂³	1	1	yes	characteristic
283	C₃×#125	C₂³	1	1	yes	characteristic
284	C₃×#125	C₂³	1	1	yes	characteristic
285	C₃×#124	—	2	1	no	—
286	C₃×#124	—	2	1	no	—
287	C₃×#124	—	2	1	no	—
288	C₃×#124	—	2	1	no	—
289	C₃×#124	—	2	1	no	—
290	C₃×#124	—	2	1	no	—
291	C₃×#124	—	2	1	no	—
292	C₃×#124	—	2	1	no	—
293	C₃×#124	—	2	1	no	—
294	C₃×#124	—	2	1	no	—
295	C₃×#124	D₄	1	1	yes	characteristic
296	C₃×#124	D₄	1	1	yes	characteristic
297	C₃×#124	C₂³	1	1	yes	characteristic
298	C₃×#124	C₂³	1	1	yes	characteristic
299	C₃×#123	—	2	1	no	—
300	C₃×#123	—	2	1	no	—
301	C₃×#123	—	2	1	no	—
302	C₃×#123	—	2	1	no	—
303	C₃×#123	—	2	1	no	—
304	C₃×#123	—	2	1	no	—
305	C₃×#123	—	2	1	no	—
306	C₃×#123	—	2	1	no	—
307	C₃×#123	—	2	1	no	—
308	C₃×#123	—	2	1	no	—
309	C₃×#123	—	2	1	no	—
310	C₃×#123	—	2	1	no	—
311	C₃×#123	—	2	1	no	—
312	C₃×#123	—	2	1	no	—
313	C₃×#123	—	2	1	no	—
314	C₃×#123	—	2	1	no	—
315	C₃×#123	—	2	1	no	—
316	C₃×#123	—	2	1	no	—
317	C₃×C₂²⋊Q₈	—	2	1	no	—
318	C₃×C₂²⋊Q₈	—	2	1	no	—
319	C₃×C₂²⋊Q₈	—	2	1	no	—
320	C₃×C₂²⋊Q₈	—	2	1	no	—
321	C₃×C₂²⋊Q₈	—	2	1	no	—
322	C₃×C₂²⋊Q₈	—	2	1	no	—
323	C₃×C₂²⋊Q₈	—	2	1	no	—
324	C₃×C₂²⋊Q₈	—	2	1	no	—
325	C₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
326	C₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
327	C₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
328	C₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
329	C₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
330	C₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
331	C₃×#121	—	2	1	no	—
332	C₃×#121	—	2	1	no	—
333	C₃×#121	—	2	1	no	—
334	C₃×#121	—	2	1	no	—
335	C₃×#121	—	2	1	no	—
336	C₃×#121	—	2	1	no	—
337	C₃×#121	—	2	1	no	—
338	C₃×#121	—	2	1	no	—
339	C₃×#121	—	2	1	no	—
340	C₃×#121	—	2	1	no	—
341	C₃×#121	—	2	1	no	—
342	C₃×#121	—	2	1	no	—
343	C₃×#121	—	2	1	no	—
344	C₃×#121	—	2	1	no	—
345	C₃×#121	—	2	1	no	—
346	C₃×#121	—	2	1	no	—
347	C₃×#121	—	2	1	no	—
348	C₃×#121	—	2	1	no	—
349	C₃×#121	D₄	1	1	yes	characteristic
350	C₃×#121	D₄	1	1	yes	characteristic
351	C₃×#121	D₄	1	1	yes	characteristic
352	C₃×#121	D₄	1	1	yes	characteristic
353	C₃×#121	C₂³	1	1	yes	characteristic
354	C₃×#121	C₂³	1	1	yes	characteristic
355	C₃×#121	C₂³	1	1	yes	characteristic
356	C₃×#121	C₂³	1	1	yes	characteristic
357	C₃×#121	C₂³	1	1	yes	characteristic
358	C₃×#121	C₂³	1	1	yes	characteristic
359	C₃×#121	C₂³	1	1	yes	characteristic
360	C₃×#121	C₂³	1	1	yes	characteristic
361	C₃×#121	C₂³	1	1	yes	characteristic
362	C₃×#121	C₂³	1	1	yes	characteristic
363	C₃×#121	C₂³	1	1	yes	characteristic
364	C₃×#121	C₂³	1	1	yes	characteristic
365	C₃×#121	C₂³	1	1	yes	characteristic
366	C₃×#121	C₂³	1	1	yes	characteristic
367	C₃×#120	—	2	1	no	—
368	C₃×#120	—	2	1	no	—
369	C₃×#120	—	2	1	no	—
370	C₃×#120	—	2	1	no	—
371	C₃×#120	—	2	1	no	—
372	C₃×#120	—	2	1	no	—
373	C₃×#120	—	2	1	no	—
374	C₃×#120	—	2	1	no	—
375	C₃×C₄×Q₈	—	2	1	no	—
376	C₃×C₄×Q₈	—	2	1	no	—
377	C₃×C₄×Q₈	—	2	1	no	—
378	C₃×C₄×Q₈	—	2	1	no	—
379	C₃×C₄×Q₈	C₂³	1	1	yes	characteristic
380	C₃×C₄×Q₈	C₂³	1	1	yes	characteristic
381	C₃×C₄×D₄	—	2	1	no	—
382	C₃×C₄×D₄	—	2	1	no	—
383	C₃×C₄×D₄	—	2	1	no	—
384	C₃×C₄×D₄	—	2	1	no	—
385	C₃×C₄×D₄	—	2	1	no	—
386	C₃×C₄×D₄	—	2	1	no	—
387	C₃×C₄×D₄	—	2	1	no	—
388	C₃×C₄×D₄	—	2	1	no	—
389	C₃×C₄×D₄	—	2	1	no	—
390	C₃×C₄×D₄	—	2	1	no	—
391	C₃×C₄×D₄	—	2	1	no	—
392	C₃×C₄×D₄	—	2	1	no	—
393	C₃×C₄×D₄	—	2	1	no	—
394	C₃×C₄×D₄	—	2	1	no	—
395	C₃×C₄×D₄	—	2	1	no	—
396	C₃×C₄×D₄	—	2	1	no	—
397	C₃×C₄×D₄	—	2	1	no	—
398	C₃×C₄×D₄	—	2	1	no	—
399	C₃×C₄×D₄	C₂³	1	1	yes	characteristic
400	C₃×C₄×D₄	C₂³	1	1	yes	characteristic
401	C₃×C₄×D₄	C₂³	1	1	yes	characteristic
402	C₃×C₄×D₄	C₂³	1	1	yes	characteristic
403	C₃×C₄×D₄	C₂³	1	1	yes	characteristic
404	C₃×C₄×D₄	C₂³	1	1	yes	characteristic
405	C₃×C₄×D₄	C₂³	1	1	yes	characteristic
406	C₃×C₄×D₄	C₂³	1	1	yes	characteristic
407	C₃×C₄×D₄	C₂³	1	1	yes	characteristic
408	C₃×C₄×D₄	C₂³	1	1	yes	characteristic
409	C₃×#117	—	2	1	no	—
410	C₃×#117	—	2	1	no	—
411	C₃×#117	—	2	1	no	—
412	C₃×#117	—	2	1	no	—
413	C₃×#117	—	2	1	no	—
414	C₃×#117	—	2	1	no	—
415	C₃×#117	C₂³	1	1	yes	characteristic
416	C₃×#117	C₂³	1	1	yes	characteristic
417	C₃×#117	C₂³	1	1	yes	characteristic
418	C₃×#117	C₂³	1	1	yes	characteristic
419	C₃×#117	C₂³	1	1	yes	characteristic
420	C₃×#117	C₂³	1	1	yes	characteristic
421	C₃×#117	C₂³	1	1	yes	characteristic
422	C₃×#117	C₂³	1	1	yes	characteristic
423	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
424	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
425	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
426	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
427	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
428	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
429	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
430	C₂×C₃×C₂²⋊C₄	—	2	1	no	—
431	C₂×C₃×C₂²⋊C₄	—	2	1	no	—
432	C₂×C₃×C₂²⋊C₄	—	2	1	no	—
433	C₂×C₃×C₄²	C₂³	1	1	yes	characteristic
434	C₃×#107	C₂³	1	1	yes	characteristic
435	C₃×#107	C₂³	1	1	yes	characteristic
436	C₃×#107	C₂³	1	1	yes	characteristic
437	C₃×#107	C₂³	1	1	yes	characteristic
438	C₃×#107	C₂³	1	1	yes	characteristic
439	C₃×#107	C₂³	1	1	yes	characteristic
440	C₃×#107	C₂³	1	1	yes	characteristic
441	C₃×#107	C₂³	1	1	yes	characteristic
442	C₃×#107	C₂³	1	1	yes	characteristic
443	C₃×#107	C₂³	1	1	yes	characteristic
444	C₃×#107	C₂³	1	1	yes	characteristic
445	C₃×#107	C₂³	1	1	yes	characteristic
446	C₃×#106	C₂³	1	1	yes	characteristic
447	C₃×#106	C₂³	1	1	yes	characteristic
448	C₃×#106	C₂³	1	1	yes	characteristic
449	C₃×#106	C₂³	1	1	yes	characteristic
450	C₃×#106	C₂³	1	1	yes	characteristic
451	C₃×#106	C₂³	1	1	yes	characteristic
452	C₃×#106	C₂³	1	1	yes	characteristic
453	C₃×#106	C₂³	1	1	yes	characteristic
454	C₃×#106	C₂³	1	1	yes	characteristic
455	C₃×#106	C₂³	1	1	yes	characteristic
456	C₃×#106	C₂³	1	1	yes	characteristic
457	C₃×#106	C₂³	1	1	yes	characteristic
458	C₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
459	C₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
460	C₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
461	C₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
462	C₃×#103	C₂³	1	1	yes	characteristic
463	C₃×#103	C₂³	1	1	yes	characteristic
464	C₃×#103	C₂³	1	1	yes	characteristic
465	C₃×#103	C₂³	1	1	yes	characteristic
466	C₃×#103	C₂³	1	1	yes	characteristic
467	C₃×#103	C₂³	1	1	yes	characteristic
468	C₃×#103	C₂³	1	1	yes	characteristic
469	C₃×#103	C₂³	1	1	yes	characteristic
470	C₃×#103	C₂³	1	1	yes	characteristic
471	C₃×#103	C₂³	1	1	yes	characteristic
472	C₃×#103	C₂³	1	1	yes	characteristic
473	C₃×#103	C₂³	1	1	yes	characteristic
474	C₃×#102	C₂³	1	1	yes	characteristic
475	C₃×#102	C₂³	1	1	yes	characteristic
476	C₃×#102	C₂³	1	1	yes	characteristic
477	C₃×#102	C₂³	1	1	yes	characteristic
478	C₃×#102	C₂³	1	1	yes	characteristic
479	C₃×#102	C₂³	1	1	yes	characteristic
480	C₃×#102	C₂³	1	1	yes	characteristic
481	C₃×#102	C₂³	1	1	yes	characteristic
482	C₃×#102	C₂³	1	1	yes	characteristic
483	C₃×#102	C₂³	1	1	yes	characteristic
484	C₃×#102	C₂³	1	1	yes	characteristic
485	C₃×#102	C₂³	1	1	yes	characteristic
486	C₃×#102	C₂³	1	1	yes	characteristic
487	C₃×#102	C₂³	1	1	yes	characteristic
488	C₃×#102	C₂³	1	1	yes	characteristic
489	C₃×#102	C₂³	1	1	yes	characteristic
490	C₃×#102	C₂³	1	1	yes	characteristic
491	C₃×#102	C₂³	1	1	yes	characteristic
492	C₃×#102	C₂³	1	1	yes	characteristic
493	C₃×#102	C₂³	1	1	yes	characteristic
494	C₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
495	C₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
496	C₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
497	C₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
498	C₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
499	C₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
500	C₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
501	C₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
502	C₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
503	C₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
504	C₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
505	C₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
506	C₃×#97	C₂³	1	1	yes	characteristic
507	C₃×#97	C₂³	1	1	yes	characteristic
508	C₃×C₄×C₈	C₂³	1	1	yes	characteristic
509	C₃×C₄×C₈	C₂³	1	1	yes	characteristic
510	#563	—	2	1	no	—
511	#560	—	2	1	no	—
512	#559	—	2	1	no	—
513	#559	—	2	1	no	—
514	#556	—	2	1	no	—
515	#555	—	2	1	no	—
516	#555	C₂²×C₃	1	1	yes	characteristic
517	#555	C₂²×C₃	1	1	yes	characteristic, complemented
518	#553	C₂²×C₃	1	1	yes	characteristic
519	#553	C₂²×C₃	1	1	yes	characteristic
520	#553	C₂²×C₃	1	1	yes	characteristic, complemented
521	#553	C₂²×C₃	1	1	yes	characteristic, complemented
522	#553	C₂²×C₃	1	1	yes	characteristic, complemented
523	#553	C₂²×C₃	1	1	yes	characteristic, complemented
524	#552	C₂²×C₃	1	1	yes	characteristic, complemented
525	#552	C₂²×C₃	1	1	yes	characteristic, complemented
526	#551	—	2	1	no	—
527	#550	—	2	1	no	—
528	#548	C₂²×C₃	1	1	yes	characteristic, complemented
529	#548	C₂²×C₃	1	1	yes	characteristic, complemented
530	#547	C₂²×C₃	1	1	yes	characteristic
531	#547	C₂²×C₃	1	1	yes	characteristic, complemented
532	#546	C₂²×C₃	1	1	yes	characteristic, complemented
533	#546	C₂²×C₃	1	1	yes	characteristic, complemented
534	#540	—	2	1	no	—
535	#540	—	2	1	no	—
536	#538	—	2	1	no	—
537	#538	—	2	1	no	—
538	#538	—	2	1	no	—
539	#538	—	2	1	no	—
540	#537	C₂²×C₃	1	1	yes	characteristic
541	#537	C₂²×C₃	1	1	yes	characteristic
542	#536	C₂²×C₃	1	1	yes	characteristic
543	#535	C₂²×C₃	1	1	yes	characteristic
544	#535	C₂²×C₃	1	1	yes	characteristic
545	#535	C₂²×C₃	1	1	yes	characteristic, complemented
546	#533	C₂²×C₃	1	1	yes	characteristic, complemented
547	#532	C₂²×C₃	1	1	yes	characteristic
548	#529	C₂²×C₃	1	1	yes	characteristic
549	#529	C₂²×C₃	1	1	yes	characteristic
550	#525	—	2	1	no	—
551	#525	—	2	1	no	—
552	#520	C₂²×C₃	1	1	yes	characteristic
553	#520	C₂²×C₃	1	1	yes	characteristic, complemented
554	C₂×C₄×D₄	C₂²×C₃	1	1	yes	characteristic, complemented
555	#501	C₂²×C₃	1	1	yes	characteristic, complemented
556	#501	C₂²×C₃	1	1	yes	characteristic, complemented
557	#499	C₂²×C₃	1	1	yes	characteristic, complemented
558	#499	C₂²×C₃	1	1	yes	characteristic, complemented
559	#489	C₂²×C₃	1	1	yes	characteristic, complemented
560	#489	C₂²×C₃	1	1	yes	characteristic, complemented
561	#488	C₂²×C₃	1	1	yes	characteristic, complemented
562	#488	C₂²×C₃	1	1	yes	characteristic, complemented
563	#485	C₂²×C₃	1	1	yes	characteristic, complemented
564	#485	C₂²×C₃	1	1	yes	characteristic, complemented
565	#485	C₂²×C₃	1	1	yes	characteristic, complemented
566	#485	C₂²×C₃	1	1	yes	characteristic, complemented
567	#485	C₂²×C₃	1	1	yes	characteristic, complemented
568	#485	C₂²×C₃	1	1	yes	characteristic, complemented
569	#485	C₂²×C₃	1	1	yes	characteristic, complemented
570	#485	C₂²×C₃	1	1	yes	characteristic, complemented
571	#484	C₂²×C₃	1	1	yes	characteristic, complemented
572	#484	C₂²×C₃	1	1	yes	characteristic, complemented
573	#484	C₂²×C₃	1	1	yes	characteristic, complemented
574	#483	C₂²×C₃	1	1	yes	characteristic, complemented
575	#483	C₂²×C₃	1	1	yes	characteristic, complemented
576	#483	C₂²×C₃	1	1	yes	characteristic, complemented
577	#482	C₂²×C₃	1	1	yes	characteristic
578	#482	C₂²×C₃	1	1	yes	characteristic
579	#482	C₂²×C₃	1	1	yes	characteristic
580	#482	C₂²×C₃	1	1	yes	characteristic
581	#482	C₂²×C₃	1	1	yes	characteristic
582	#482	C₂²×C₃	1	1	yes	characteristic
583	#482	C₂²×C₃	1	1	yes	characteristic, complemented
584	#482	C₂²×C₃	1	1	yes	characteristic, complemented
585	#482	C₂²×C₃	1	1	yes	characteristic, complemented
586	#482	C₂²×C₃	1	1	yes	characteristic, complemented
587	#482	C₂²×C₃	1	1	yes	characteristic, complemented
588	#482	C₂²×C₃	1	1	yes	characteristic, complemented
589	#481	C₂²×C₃	1	1	yes	characteristic
590	#481	C₂²×C₃	1	1	yes	characteristic, complemented
591	#481	C₂²×C₃	1	1	yes	characteristic, complemented
592	#481	C₂²×C₃	1	1	yes	characteristic, complemented
593	#481	C₂²×C₃	1	1	yes	characteristic, complemented
594	#480	C₂²×C₃	1	1	yes	characteristic
595	#480	C₂²×C₃	1	1	yes	characteristic, complemented
596	#480	C₂²×C₃	1	1	yes	characteristic, complemented
597	#480	C₂²×C₃	1	1	yes	characteristic, complemented
598	#480	C₂²×C₃	1	1	yes	characteristic, complemented
599	#479	C₂²×C₃	1	1	yes	characteristic, complemented
600	#479	C₂²×C₃	1	1	yes	characteristic, complemented
601	#478	C₂²×C₃	1	1	yes	characteristic, complemented
602	#478	C₂²×C₃	1	1	yes	characteristic, complemented
603	#478	C₂²×C₃	1	1	yes	characteristic, complemented
604	#478	C₂²×C₃	1	1	yes	characteristic, complemented
605	#478	C₂²×C₃	1	1	yes	characteristic, complemented
606	#478	C₂²×C₃	1	1	yes	characteristic, complemented
607	#477	C₂²×C₃	1	1	yes	characteristic, complemented
608	#476	C₂²×C₃	1	1	yes	characteristic, complemented
609	#475	C₂²×C₃	1	1	yes	characteristic, complemented
610	#474	C₂²×C₃	1	1	yes	characteristic, complemented
611	#469	C₂²×C₃	1	1	yes	characteristic
612	#469	C₂²×C₃	1	1	yes	characteristic
613	#469	C₂²×C₃	1	1	yes	characteristic
614	#469	C₂²×C₃	1	1	yes	characteristic
615	#468	C₂²×C₃	1	1	yes	characteristic
616	#468	C₂²×C₃	1	1	yes	characteristic
617	#468	C₂²×C₃	1	1	yes	characteristic, complemented
618	#468	C₂²×C₃	1	1	yes	characteristic, complemented
619	#466	C₂²×C₃	1	1	yes	characteristic
620	#466	C₂²×C₃	1	1	yes	characteristic
621	#466	C₂²×C₃	1	1	yes	characteristic
622	#466	C₂²×C₃	1	1	yes	characteristic
623	#465	C₂²×C₃	1	1	yes	characteristic
624	#465	C₂²×C₃	1	1	yes	characteristic
625	#465	C₂²×C₃	1	1	yes	characteristic, complemented
626	#465	C₂²×C₃	1	1	yes	characteristic, complemented
627	#463	C₂²×C₃	1	1	yes	characteristic
628	#463	C₂²×C₃	1	1	yes	characteristic
629	#463	C₂²×C₃	1	1	yes	characteristic
630	#463	C₂²×C₃	1	1	yes	characteristic
631	#450	C₂²×C₃	1	1	yes	characteristic, complemented
632	#450	C₂²×C₃	1	1	yes	characteristic, complemented
633	#449	C₂²×C₃	1	1	yes	characteristic
634	#449	C₂²×C₃	1	1	yes	characteristic
635	#449	C₂²×C₃	1	1	yes	characteristic
636	#449	C₂²×C₃	1	1	yes	characteristic
637	#448	C₂²×C₃	1	1	yes	characteristic, complemented
638	#448	C₂²×C₃	1	1	yes	characteristic, complemented
639	#447	C₂²×C₃	1	1	yes	characteristic
640	#447	C₂²×C₃	1	1	yes	characteristic
641	#447	C₂²×C₃	1	1	yes	characteristic
642	#447	C₂²×C₃	1	1	yes	characteristic
643	#442	C₂²×C₃	1	1	yes	characteristic
644	#442	C₂²×C₃	1	1	yes	characteristic
645	#440	C₂²×C₃	1	1	yes	characteristic, complemented
646	#440	C₂²×C₃	1	1	yes	characteristic, complemented
647	C₄×SD₁₆	C₂²×C₃	1	1	yes	characteristic, complemented
648	C₄×SD₁₆	C₂²×C₃	1	1	yes	characteristic, complemented
649	C₄×D₈	C₂²×C₃	1	1	yes	characteristic
650	C₄×D₈	C₂²×C₃	1	1	yes	characteristic
651	#436	C₂²×C₃	1	1	yes	characteristic, complemented
652	#436	C₂²×C₃	1	1	yes	characteristic, complemented
653	#435	C₂²×C₃	1	1	yes	characteristic, complemented
654	#435	C₂²×C₃	1	1	yes	characteristic, complemented
655	#435	C₂²×C₃	1	1	yes	characteristic, complemented
656	#435	C₂²×C₃	1	1	yes	characteristic, complemented
657	C₈×D₄	C₂²×C₃	1	1	yes	characteristic, complemented
658	C₈×D₄	C₂²×C₃	1	1	yes	characteristic, complemented
659	#432	C₂²×C₃	1	1	yes	characteristic, complemented
660	#431	C₂²×C₃	1	1	yes	characteristic, complemented
661	#428	C₂²×C₃	1	1	yes	characteristic, complemented
662	#428	C₂²×C₃	1	1	yes	characteristic, complemented
663	#428	C₂²×C₃	1	1	yes	characteristic, complemented
664	#428	C₂²×C₃	1	1	yes	characteristic, complemented
665	#427	C₂²×C₃	1	1	yes	characteristic, complemented
666	#427	C₂²×C₃	1	1	yes	characteristic, complemented
667	C₂×#107	C₂²×C₃	1	1	yes	characteristic, complemented
668	C₂×#106	C₂²×C₃	1	1	yes	characteristic, complemented
669	#419	C₂²×C₃	1	1	yes	characteristic, complemented
670	#418	C₂²×C₃	1	1	yes	characteristic, complemented
671	#417	C₂²×C₃	1	1	yes	characteristic, complemented
672	#417	C₂²×C₃	1	1	yes	characteristic, complemented
673	#416	C₂²×C₃	1	1	yes	characteristic, complemented
674	#416	C₂²×C₃	1	1	yes	characteristic, complemented
675	C₂×#103	C₂²×C₃	1	1	yes	characteristic, complemented
676	C₂×#102	C₂²×C₃	1	1	yes	characteristic, complemented
677	#408	C₂²×C₃	1	1	yes	characteristic
678	#408	C₂²×C₃	1	1	yes	characteristic
679	#408	C₂²×C₃	1	1	yes	characteristic, complemented
680	#408	C₂²×C₃	1	1	yes	characteristic, complemented
681	C₂⁴×C₃	—	2	1	no	—
682	C₂⁴×C₃	—	2	1	no	—
683	C₃×#41	—	4	1	no	—
684	C₃×#41	—	4	1	no	—
685	C₃×#41	—	4	1	no	—
686	C₃×#41	—	4	1	no	—
687	C₃×#41	—	4	1	no	—
688	C₃×#41	—	4	1	no	—
689	C₃×#41	—	4	1	no	—
690	C₃×#41	—	4	1	no	—
691	C₃×#41	—	8	2	no	—
692	C₃×#41	—	8	2	no	—
693	C₂×C₃×Q₈	—	2	1	no	—
694	C₂×C₃×Q₈	—	2	1	no	—
695	C₂×C₃×Q₈	—	2	1	no	—
696	C₂×C₃×Q₈	—	4	1	no	—
697	C₂×C₃×Q₈	—	4	1	no	—
698	C₂×C₃×Q₈	C₂×D₄	1	1	yes	characteristic
699	C₂×C₃×Q₈	C₂×D₄	1	1	yes	characteristic
700	C₂×C₃×Q₈	C₂⁴	1	1	yes	characteristic
701	C₂×C₃×Q₈	C₂⁴	1	1	yes	characteristic
702	C₂×C₃×D₄	—	2	1	no	—
703	C₂×C₃×D₄	—	2	1	no	—
704	C₂×C₃×D₄	—	2	1	no	—
705	C₂×C₃×D₄	—	2	1	no	—
706	C₂×C₃×D₄	—	2	1	no	—
707	C₂×C₃×D₄	—	2	1	no	—
708	C₂×C₃×D₄	—	2	1	no	—
709	C₂×C₃×D₄	—	2	1	no	—
710	C₂×C₃×D₄	—	2	1	no	—
711	C₂×C₃×D₄	—	2	1	no	—
712	C₂×C₃×D₄	—	2	1	no	—
713	C₂×C₃×D₄	—	2	1	no	—
714	C₂×C₃×D₄	—	2	1	no	—
715	C₂×C₃×D₄	—	2	1	no	—
716	C₂×C₃×D₄	—	2	1	no	—
717	C₂×C₃×D₄	—	2	1	no	—
718	C₂×C₃×D₄	—	2	1	no	—
719	C₂×C₃×D₄	—	2	1	no	—
720	C₂×C₃×D₄	—	4	1	no	—
721	C₂×C₃×D₄	—	4	1	no	—
722	C₂×C₃×D₄	—	4	1	no	—
723	C₂×C₃×D₄	—	4	1	no	—
724	C₂×C₃×D₄	C₂×D₄	1	1	yes	characteristic
725	C₂×C₃×D₄	C₂×D₄	1	1	yes	characteristic
726	C₂×C₃×D₄	C₂×D₄	1	1	yes	characteristic
727	C₂×C₃×D₄	C₂×D₄	1	1	yes	characteristic
728	C₂×C₃×D₄	C₂×D₄	1	1	yes	characteristic
729	C₂×C₃×D₄	C₂×D₄	1	1	yes	characteristic
730	C₂×C₃×D₄	C₂×D₄	1	1	yes	characteristic
731	C₂×C₃×D₄	C₂×D₄	1	1	yes	characteristic
732	C₂×C₃×D₄	C₂×D₄	1	1	yes	characteristic
733	C₂×C₃×D₄	C₂×D₄	1	1	yes	characteristic
734	C₂×C₃×D₄	C₂⁴	1	1	yes	characteristic
735	C₂×C₃×D₄	C₂⁴	1	1	yes	characteristic
736	C₂×C₃×D₄	C₂⁴	1	1	yes	characteristic
737	C₂×C₃×D₄	C₂⁴	1	1	yes	characteristic
738	C₂²×C₃×C₄	—	2	1	no	—
739	C₂²×C₃×C₄	—	2	1	no	—
740	C₂²×C₃×C₄	—	2	1	no	—
741	C₂²×C₃×C₄	—	2	1	no	—
742	C₂²×C₃×C₄	—	2	1	no	—
743	C₂²×C₃×C₄	—	2	1	no	—
744	C₂²×C₃×C₄	—	2	1	no	—
745	C₂²×C₃×C₄	—	2	1	no	—
746	C₂²×C₃×C₄	—	2	1	no	—
747	C₂²×C₃×C₄	—	2	1	no	—
748	C₂²×C₃×C₄	—	2	1	no	—
749	C₂²×C₃×C₄	—	2	1	no	—
750	C₂²×C₃×C₄	—	2	1	no	—
751	C₂²×C₃×C₄	—	2	1	no	—
752	C₂²×C₃×C₄	—	2	1	no	—
753	C₂²×C₃×C₄	—	2	1	no	—
754	C₂²×C₃×C₄	—	8	2	no	—
755	C₂²×C₃×C₄	C₂×D₄	1	1	yes	characteristic
756	C₂²×C₃×C₄	C₂×D₄	1	1	yes	characteristic
757	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
758	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
759	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
760	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
761	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
762	C₃×SD₁₆	—	4	1	no	—
763	C₃×SD₁₆	—	4	1	no	—
764	C₃×SD₁₆	—	4	1	no	—
765	C₃×SD₁₆	—	4	1	no	—
766	C₃×D₈	—	4	1	no	—
767	C₃×D₈	—	4	1	no	—
768	C₃×D₈	—	4	1	no	—
769	C₃×D₈	—	4	1	no	—
770	C₃×M₁₆	—	4	1	no	—
771	C₃×M₁₆	—	4	1	no	—
772	C₃×M₁₆	—	4	1	no	—
773	C₃×M₁₆	—	4	1	no	—
774	C₂×C₃×C₈	—	4	1	no	—
775	C₂×C₃×C₈	—	4	1	no	—
776	C₂×C₃×C₈	—	4	1	no	—
777	C₂×C₃×C₈	—	4	1	no	—
778	C₂×C₃×C₈	C₂⁴	1	1	yes	characteristic
779	C₂×C₃×C₈	C₂⁴	1	1	yes	characteristic
780	C₂×C₃×C₈	C₂⁴	1	1	yes	characteristic
781	C₂×C₃×C₈	C₂⁴	1	1	yes	characteristic
782	C₂×C₃×C₈	C₂⁴	1	1	yes	characteristic
783	C₂×C₃×C₈	C₂⁴	1	1	yes	characteristic
784	C₂×C₃×C₈	C₂⁴	1	1	yes	characteristic
785	C₂×C₃×C₈	C₂⁴	1	1	yes	characteristic
786	C₃×C₄⋊C₄	—	2	1	no	—
787	C₃×C₄⋊C₄	—	2	1	no	—
788	C₃×C₄⋊C₄	—	2	1	no	—
789	C₃×C₄⋊C₄	—	2	1	no	—
790	C₃×C₄⋊C₄	—	2	1	no	—
791	C₃×C₄⋊C₄	—	2	1	no	—
792	C₃×C₄⋊C₄	—	2	1	no	—
793	C₃×C₄⋊C₄	—	2	1	no	—
794	C₃×C₄⋊C₄	—	2	1	no	—
795	C₃×C₄⋊C₄	—	2	1	no	—
796	C₃×C₄⋊C₄	—	2	1	no	—
797	C₃×C₄⋊C₄	—	2	1	no	—
798	C₃×C₄⋊C₄	—	2	1	no	—
799	C₃×C₄⋊C₄	—	2	1	no	—
800	C₃×C₄⋊C₄	—	2	1	no	—
801	C₃×C₄⋊C₄	—	2	1	no	—
802	C₃×C₄⋊C₄	—	2	1	no	—
803	C₃×C₄⋊C₄	—	2	1	no	—
804	C₃×C₄⋊C₄	—	2	1	no	—
805	C₃×C₄⋊C₄	—	2	1	no	—
806	C₃×C₄⋊C₄	—	2	1	no	—
807	C₃×C₄⋊C₄	—	2	1	no	—
808	C₃×C₄⋊C₄	—	2	1	no	—
809	C₃×C₄⋊C₄	—	2	1	no	—
810	C₃×C₄⋊C₄	—	2	1	no	—
811	C₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
812	C₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
813	C₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
814	C₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
815	C₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
816	C₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
817	C₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
818	C₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
819	C₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
820	C₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
821	C₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
822	C₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
823	C₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
824	C₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
825	C₃×C₂²⋊C₄	—	2	1	no	—
826	C₃×C₂²⋊C₄	—	2	1	no	—
827	C₃×C₂²⋊C₄	—	2	1	no	—
828	C₃×C₂²⋊C₄	—	2	1	no	—
829	C₃×C₂²⋊C₄	—	2	1	no	—
830	C₃×C₂²⋊C₄	—	2	1	no	—
831	C₃×C₂²⋊C₄	—	2	1	no	—
832	C₃×C₂²⋊C₄	—	2	1	no	—
833	C₃×C₂²⋊C₄	—	2	1	no	—
834	C₃×C₂²⋊C₄	—	2	1	no	—
835	C₃×C₂²⋊C₄	—	2	1	no	—
836	C₃×C₂²⋊C₄	—	2	1	no	—
837	C₃×C₂²⋊C₄	—	2	1	no	—
838	C₃×C₂²⋊C₄	—	2	1	no	—
839	C₃×C₂²⋊C₄	—	2	1	no	—
840	C₃×C₂²⋊C₄	—	2	1	no	—
841	C₃×C₂²⋊C₄	—	2	1	no	—
842	C₃×C₂²⋊C₄	—	2	1	no	—
843	C₃×C₂²⋊C₄	—	2	1	no	—
844	C₃×C₂²⋊C₄	—	2	1	no	—
845	C₃×C₂²⋊C₄	—	2	1	no	—
846	C₃×C₂²⋊C₄	—	2	1	no	—
847	C₃×C₂²⋊C₄	—	2	1	no	—
848	C₃×C₂²⋊C₄	—	2	1	no	—
849	C₃×C₂²⋊C₄	—	2	1	no	—
850	C₃×C₂²⋊C₄	—	2	1	no	—
851	C₃×C₂²⋊C₄	—	2	1	no	—
852	C₃×C₂²⋊C₄	—	2	1	no	—
853	C₃×C₂²⋊C₄	—	2	1	no	—
854	C₃×C₂²⋊C₄	—	2	1	no	—
855	C₃×C₂²⋊C₄	—	2	1	no	—
856	C₃×C₂²⋊C₄	—	2	1	no	—
857	C₃×C₂²⋊C₄	—	2	1	no	—
858	C₃×C₂²⋊C₄	—	2	1	no	—
859	C₃×C₂²⋊C₄	—	2	1	no	—
860	C₃×C₂²⋊C₄	—	2	1	no	—
861	C₃×C₂²⋊C₄	—	2	1	no	—
862	C₃×C₂²⋊C₄	—	2	1	no	—
863	C₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
864	C₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
865	C₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
866	C₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
867	C₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
868	C₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
869	C₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
870	C₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
871	C₃×C₄²	—	2	1	no	—
872	C₃×C₄²	—	2	1	no	—
873	C₃×C₄²	—	2	1	no	—
874	C₃×C₄²	—	2	1	no	—
875	C₃×C₄²	—	2	1	no	—
876	C₃×C₄²	—	2	1	no	—
877	C₃×C₄²	—	2	1	no	—
878	C₃×C₄²	—	2	1	no	—
879	C₃×C₄²	—	2	1	no	—
880	C₃×C₄²	—	2	1	no	—
881	C₃×C₄²	C₂×D₄	1	1	yes	characteristic
882	C₃×C₄²	C₂×D₄	1	1	yes	characteristic
883	C₃×C₄²	C₂⁴	1	1	yes	characteristic
884	C₃×C₄²	C₂⁴	1	1	yes	characteristic
885	C₂×#41	—	2	1	no	—
886	C₂×#41	—	2	1	no	—
887	C₂×#41	C₂³×C₃	1	1	yes	characteristic
888	C₂×#41	C₂³×C₃	1	1	yes	characteristic
889	C₂×#41	C₂³×C₃	1	1	yes	characteristic
890	C₂×#41	C₂³×C₃	1	1	yes	characteristic
891	C₂²×Q₈	C₂³×C₃	1	1	yes	characteristic
892	C₂²×D₄	C₂³×C₃	1	1	yes	characteristic
893	C₂²×D₄	C₂³×C₃	1	1	yes	characteristic
894	C₂³×C₄	—	2	1	no	—
895	C₂×SD₁₆	C₂³×C₃	1	1	yes	characteristic
896	C₂×SD₁₆	C₂³×C₃	1	1	yes	characteristic
897	C₂×SD₁₆	C₂³×C₃	1	1	yes	characteristic
898	C₂×SD₁₆	C₂³×C₃	1	1	yes	characteristic
899	C₂×D₈	C₂³×C₃	1	1	yes	characteristic
900	C₂×D₈	C₂³×C₃	1	1	yes	characteristic
901	C₂×D₈	C₂³×C₃	1	1	yes	characteristic
902	C₂×D₈	C₂³×C₃	1	1	yes	characteristic
903	C₂×M₁₆	C₂³×C₃	1	1	yes	characteristic
904	C₂×M₁₆	C₂³×C₃	1	1	yes	characteristic
905	C₂×M₁₆	C₂³×C₃	1	1	yes	characteristic
906	C₂×M₁₆	C₂³×C₃	1	1	yes	characteristic
907	C₂²×C₈	C₂³×C₃	1	1	yes	characteristic
908	C₂²×C₈	C₂³×C₃	1	1	yes	characteristic
909	C₂²×C₈	C₂³×C₃	1	1	yes	characteristic
910	C₂²×C₈	C₂³×C₃	1	1	yes	characteristic
911	C₄⋊Q₈	—	2	1	no	—
912	C₄⋊Q₈	C₃×D₄	1	1	yes	characteristic
913	C₄⋊Q₈	C₂³×C₃	1	1	yes	characteristic
914	C₄⋊Q₈	C₂³×C₃	1	1	yes	characteristic
915	#127	—	2	1	no	—
916	#127	—	2	1	no	—
917	#127	—	2	1	no	—
918	#127	C₃×D₄	1	1	yes	characteristic
919	#126	—	2	1	no	—
920	#126	—	2	1	no	—
921	#126	—	2	1	no	—
922	#126	—	2	1	no	—
923	#126	—	2	1	no	—
924	#126	—	2	1	no	—
925	#126	—	2	1	no	—
926	#126	—	2	1	no	—
927	#126	—	2	1	no	—
928	#126	—	2	1	no	—
929	#125	—	2	1	no	—
930	#125	—	2	1	no	—
931	#125	C₂³×C₃	1	1	yes	characteristic
932	#125	C₂³×C₃	1	1	yes	characteristic
933	#125	C₂³×C₃	1	1	yes	characteristic
934	#125	C₂³×C₃	1	1	yes	characteristic
935	#124	—	2	1	no	—
936	#124	—	2	1	no	—
937	#124	—	2	1	no	—
938	#124	—	2	1	no	—
939	#124	—	2	1	no	—
940	#124	—	2	1	no	—
941	#124	—	2	1	no	—
942	#124	—	2	1	no	—
943	#124	—	2	1	no	—
944	#124	—	2	1	no	—
945	#124	C₃×D₄	1	1	yes	characteristic
946	#124	C₃×D₄	1	1	yes	characteristic
947	#124	C₂³×C₃	1	1	yes	characteristic
948	#124	C₂³×C₃	1	1	yes	characteristic
949	#123	—	2	1	no	—
950	#123	—	2	1	no	—
951	#123	—	2	1	no	—
952	#123	—	2	1	no	—
953	#123	—	2	1	no	—
954	#123	—	2	1	no	—
955	#123	—	2	1	no	—
956	#123	—	2	1	no	—
957	#123	—	2	1	no	—
958	#123	—	2	1	no	—
959	#123	—	2	1	no	—
960	#123	—	2	1	no	—
961	#123	—	2	1	no	—
962	#123	—	2	1	no	—
963	#123	—	2	1	no	—
964	#123	—	2	1	no	—
965	#123	—	2	1	no	—
966	#123	—	2	1	no	—
967	C₂²⋊Q₈	—	2	1	no	—
968	C₂²⋊Q₈	—	2	1	no	—
969	C₂²⋊Q₈	—	2	1	no	—
970	C₂²⋊Q₈	—	2	1	no	—
971	C₂²⋊Q₈	—	2	1	no	—
972	C₂²⋊Q₈	—	2	1	no	—
973	C₂²⋊Q₈	—	2	1	no	—
974	C₂²⋊Q₈	—	2	1	no	—
975	C₂²⋊Q₈	C₂³×C₃	1	1	yes	characteristic
976	C₂²⋊Q₈	C₂³×C₃	1	1	yes	characteristic
977	C₂²⋊Q₈	C₂³×C₃	1	1	yes	characteristic
978	C₂²⋊Q₈	C₂³×C₃	1	1	yes	characteristic
979	C₂²⋊Q₈	C₂³×C₃	1	1	yes	characteristic
980	C₂²⋊Q₈	C₂³×C₃	1	1	yes	characteristic
981	#121	—	2	1	no	—
982	#121	—	2	1	no	—
983	#121	—	2	1	no	—
984	#121	—	2	1	no	—
985	#121	—	2	1	no	—
986	#121	—	2	1	no	—
987	#121	—	2	1	no	—
988	#121	—	2	1	no	—
989	#121	—	2	1	no	—
990	#121	—	2	1	no	—
991	#121	—	2	1	no	—
992	#121	—	2	1	no	—
993	#121	—	2	1	no	—
994	#121	—	2	1	no	—
995	#121	—	2	1	no	—
996	#121	—	2	1	no	—
997	#121	—	2	1	no	—
998	#121	—	2	1	no	—
999	#121	C₃×D₄	1	1	yes	characteristic
1000	#121	C₃×D₄	1	1	yes	characteristic
1001	#121	C₃×D₄	1	1	yes	characteristic
1002	#121	C₃×D₄	1	1	yes	characteristic
1003	#121	C₂³×C₃	1	1	yes	characteristic
1004	#121	C₂³×C₃	1	1	yes	characteristic
1005	#121	C₂³×C₃	1	1	yes	characteristic
1006	#121	C₂³×C₃	1	1	yes	characteristic
1007	#121	C₂³×C₃	1	1	yes	characteristic
1008	#121	C₂³×C₃	1	1	yes	characteristic
1009	#121	C₂³×C₃	1	1	yes	characteristic
1010	#121	C₂³×C₃	1	1	yes	characteristic
1011	#121	C₂³×C₃	1	1	yes	characteristic
1012	#121	C₂³×C₃	1	1	yes	characteristic
1013	#121	C₂³×C₃	1	1	yes	characteristic
1014	#121	C₂³×C₃	1	1	yes	characteristic
1015	#121	C₂³×C₃	1	1	yes	characteristic
1016	#121	C₂³×C₃	1	1	yes	characteristic
1017	#120	—	2	1	no	—
1018	#120	—	2	1	no	—
1019	#120	—	2	1	no	—
1020	#120	—	2	1	no	—
1021	#120	—	2	1	no	—
1022	#120	—	2	1	no	—
1023	#120	—	2	1	no	—
1024	#120	—	2	1	no	—
1025	C₄×Q₈	—	2	1	no	—
1026	C₄×Q₈	—	2	1	no	—
1027	C₄×Q₈	—	2	1	no	—
1028	C₄×Q₈	—	2	1	no	—
1029	C₄×Q₈	C₂³×C₃	1	1	yes	characteristic
1030	C₄×Q₈	C₂³×C₃	1	1	yes	characteristic
1031	C₄×D₄	—	2	1	no	—
1032	C₄×D₄	—	2	1	no	—
1033	C₄×D₄	—	2	1	no	—
1034	C₄×D₄	—	2	1	no	—
1035	C₄×D₄	—	2	1	no	—
1036	C₄×D₄	—	2	1	no	—
1037	C₄×D₄	—	2	1	no	—
1038	C₄×D₄	—	2	1	no	—
1039	C₄×D₄	—	2	1	no	—
1040	C₄×D₄	—	2	1	no	—
1041	C₄×D₄	—	2	1	no	—
1042	C₄×D₄	—	2	1	no	—
1043	C₄×D₄	—	2	1	no	—
1044	C₄×D₄	—	2	1	no	—
1045	C₄×D₄	—	2	1	no	—
1046	C₄×D₄	—	2	1	no	—
1047	C₄×D₄	—	2	1	no	—
1048	C₄×D₄	—	2	1	no	—
1049	C₄×D₄	C₂³×C₃	1	1	yes	characteristic
1050	C₄×D₄	C₂³×C₃	1	1	yes	characteristic
1051	C₄×D₄	C₂³×C₃	1	1	yes	characteristic
1052	C₄×D₄	C₂³×C₃	1	1	yes	characteristic
1053	C₄×D₄	C₂³×C₃	1	1	yes	characteristic
1054	C₄×D₄	C₂³×C₃	1	1	yes	characteristic
1055	C₄×D₄	C₂³×C₃	1	1	yes	characteristic
1056	C₄×D₄	C₂³×C₃	1	1	yes	characteristic
1057	C₄×D₄	C₂³×C₃	1	1	yes	characteristic
1058	C₄×D₄	C₂³×C₃	1	1	yes	characteristic
1059	#117	—	2	1	no	—
1060	#117	—	2	1	no	—
1061	#117	—	2	1	no	—
1062	#117	—	2	1	no	—
1063	#117	—	2	1	no	—
1064	#117	—	2	1	no	—
1065	#117	C₂³×C₃	1	1	yes	characteristic
1066	#117	C₂³×C₃	1	1	yes	characteristic
1067	#117	C₂³×C₃	1	1	yes	characteristic
1068	#117	C₂³×C₃	1	1	yes	characteristic
1069	#117	C₂³×C₃	1	1	yes	characteristic
1070	#117	C₂³×C₃	1	1	yes	characteristic
1071	#117	C₂³×C₃	1	1	yes	characteristic
1072	#117	C₂³×C₃	1	1	yes	characteristic
1073	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
1074	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
1075	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
1076	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
1077	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
1078	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
1079	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
1080	C₂×C₂²⋊C₄	—	2	1	no	—
1081	C₂×C₂²⋊C₄	—	2	1	no	—
1082	C₂×C₂²⋊C₄	—	2	1	no	—
1083	C₂×C₄²	C₂³×C₃	1	1	yes	characteristic
1084	#107	C₂³×C₃	1	1	yes	characteristic
1085	#107	C₂³×C₃	1	1	yes	characteristic
1086	#107	C₂³×C₃	1	1	yes	characteristic
1087	#107	C₂³×C₃	1	1	yes	characteristic
1088	#107	C₂³×C₃	1	1	yes	characteristic
1089	#107	C₂³×C₃	1	1	yes	characteristic
1090	#107	C₂³×C₃	1	1	yes	characteristic
1091	#107	C₂³×C₃	1	1	yes	characteristic
1092	#107	C₂³×C₃	1	1	yes	characteristic
1093	#107	C₂³×C₃	1	1	yes	characteristic
1094	#107	C₂³×C₃	1	1	yes	characteristic
1095	#107	C₂³×C₃	1	1	yes	characteristic
1096	#106	C₂³×C₃	1	1	yes	characteristic
1097	#106	C₂³×C₃	1	1	yes	characteristic
1098	#106	C₂³×C₃	1	1	yes	characteristic
1099	#106	C₂³×C₃	1	1	yes	characteristic
1100	#106	C₂³×C₃	1	1	yes	characteristic
1101	#106	C₂³×C₃	1	1	yes	characteristic
1102	#106	C₂³×C₃	1	1	yes	characteristic
1103	#106	C₂³×C₃	1	1	yes	characteristic
1104	#106	C₂³×C₃	1	1	yes	characteristic
1105	#106	C₂³×C₃	1	1	yes	characteristic
1106	#106	C₂³×C₃	1	1	yes	characteristic
1107	#106	C₂³×C₃	1	1	yes	characteristic
1108	C₄⋊C₈	C₂³×C₃	1	1	yes	characteristic
1109	C₄⋊C₈	C₂³×C₃	1	1	yes	characteristic
1110	C₄⋊C₈	C₂³×C₃	1	1	yes	characteristic
1111	C₄⋊C₈	C₂³×C₃	1	1	yes	characteristic
1112	#103	C₂³×C₃	1	1	yes	characteristic
1113	#103	C₂³×C₃	1	1	yes	characteristic
1114	#103	C₂³×C₃	1	1	yes	characteristic
1115	#103	C₂³×C₃	1	1	yes	characteristic
1116	#103	C₂³×C₃	1	1	yes	characteristic
1117	#103	C₂³×C₃	1	1	yes	characteristic
1118	#103	C₂³×C₃	1	1	yes	characteristic
1119	#103	C₂³×C₃	1	1	yes	characteristic
1120	#103	C₂³×C₃	1	1	yes	characteristic
1121	#103	C₂³×C₃	1	1	yes	characteristic
1122	#103	C₂³×C₃	1	1	yes	characteristic
1123	#103	C₂³×C₃	1	1	yes	characteristic
1124	#102	C₂³×C₃	1	1	yes	characteristic
1125	#102	C₂³×C₃	1	1	yes	characteristic
1126	#102	C₂³×C₃	1	1	yes	characteristic
1127	#102	C₂³×C₃	1	1	yes	characteristic
1128	#102	C₂³×C₃	1	1	yes	characteristic
1129	#102	C₂³×C₃	1	1	yes	characteristic
1130	#102	C₂³×C₃	1	1	yes	characteristic
1131	#102	C₂³×C₃	1	1	yes	characteristic
1132	#102	C₂³×C₃	1	1	yes	characteristic
1133	#102	C₂³×C₃	1	1	yes	characteristic
1134	#102	C₂³×C₃	1	1	yes	characteristic
1135	#102	C₂³×C₃	1	1	yes	characteristic
1136	#102	C₂³×C₃	1	1	yes	characteristic
1137	#102	C₂³×C₃	1	1	yes	characteristic
1138	#102	C₂³×C₃	1	1	yes	characteristic
1139	#102	C₂³×C₃	1	1	yes	characteristic
1140	#102	C₂³×C₃	1	1	yes	characteristic
1141	#102	C₂³×C₃	1	1	yes	characteristic
1142	#102	C₂³×C₃	1	1	yes	characteristic
1143	#102	C₂³×C₃	1	1	yes	characteristic
1144	C₂²⋊C₈	C₂³×C₃	1	1	yes	characteristic
1145	C₂²⋊C₈	C₂³×C₃	1	1	yes	characteristic
1146	C₂²⋊C₈	C₂³×C₃	1	1	yes	characteristic
1147	C₂²⋊C₈	C₂³×C₃	1	1	yes	characteristic
1148	C₂²⋊C₈	C₂³×C₃	1	1	yes	characteristic
1149	C₂²⋊C₈	C₂³×C₃	1	1	yes	characteristic
1150	C₂²⋊C₈	C₂³×C₃	1	1	yes	characteristic
1151	C₂²⋊C₈	C₂³×C₃	1	1	yes	characteristic
1152	C₂²⋊C₈	C₂³×C₃	1	1	yes	characteristic
1153	C₂²⋊C₈	C₂³×C₃	1	1	yes	characteristic
1154	C₂²⋊C₈	C₂³×C₃	1	1	yes	characteristic
1155	C₂²⋊C₈	C₂³×C₃	1	1	yes	characteristic
1156	#97	C₂³×C₃	1	1	yes	characteristic
1157	#97	C₂³×C₃	1	1	yes	characteristic
1158	C₄×C₈	C₂³×C₃	1	1	yes	characteristic
1159	C₄×C₈	C₂³×C₃	1	1	yes	characteristic
1160	C₂³×C₃	—	2	1	no	—
1161	C₂³×C₃	—	2	1	no	—
1162	C₂³×C₃	—	2	1	no	—
1163	C₂³×C₃	—	2	1	no	—
1164	C₂³×C₃	—	4	2	no	—
1165	C₂³×C₃	—	8	1	no	—
1166	C₂³×C₃	—	8	1	no	—
1167	C₂³×C₃	—	8	1	no	—
1168	C₂³×C₃	—	8	1	no	—
1169	C₂³×C₃	—	8	1	no	—
1170	C₂³×C₃	C₂²×D₄	1	1	yes	characteristic
1171	C₂³×C₃	C₂²×D₄	1	1	yes	characteristic
1172	C₂³×C₃	C₂²×D₄	1	1	yes	characteristic
1173	C₂³×C₃	C₂²×D₄	1	1	yes	characteristic
1174	C₂³×C₃	C₂²×D₄	1	1	yes	characteristic
1175	C₃×Q₈	—	2	1	no	—
1176	C₃×Q₈	—	2	1	no	—
1177	C₃×Q₈	—	2	1	no	—
1178	C₃×Q₈	—	2	1	no	—
1179	C₃×Q₈	—	4	1	no	—
1180	C₃×Q₈	—	4	1	no	—
1181	C₃×Q₈	—	4	2	no	—
1182	C₃×Q₈	—	8	1	no	—
1183	C₃×Q₈	—	8	1	no	—
1184	C₃×D₄	—	2	1	no	—
1185	C₃×D₄	—	2	1	no	—
1186	C₃×D₄	—	2	1	no	—
1187	C₃×D₄	—	2	1	no	—
1188	C₃×D₄	—	2	1	no	—
1189	C₃×D₄	—	2	1	no	—
1190	C₃×D₄	—	2	1	no	—
1191	C₃×D₄	—	2	1	no	—
1192	C₃×D₄	—	4	1	no	—
1193	C₃×D₄	—	4	1	no	—
1194	C₃×D₄	—	4	1	no	—
1195	C₃×D₄	—	4	1	no	—
1196	C₃×D₄	—	4	1	no	—
1197	C₃×D₄	—	4	1	no	—
1198	C₃×D₄	—	4	1	no	—
1199	C₃×D₄	—	4	1	no	—
1200	C₃×D₄	—	4	1	no	—
1201	C₃×D₄	—	4	1	no	—
1202	C₃×D₄	—	4	2	no	—
1203	C₃×D₄	—	8	1	no	—
1204	C₃×D₄	—	8	1	no	—
1205	C₃×D₄	—	8	1	no	—
1206	C₃×D₄	—	8	1	no	—
1207	C₃×D₄	—	8	1	no	—
1208	C₃×D₄	—	8	1	no	—
1209	C₃×D₄	—	8	1	no	—
1210	C₃×D₄	—	8	1	no	—
1211	C₃×D₄	—	8	1	no	—
1212	C₃×D₄	—	8	1	no	—
1213	C₃×D₄	—	8	1	no	—
1214	C₃×D₄	—	8	1	no	—
1215	C₃×D₄	—	8	1	no	—
1216	C₃×D₄	—	8	1	no	—
1217	C₃×D₄	—	8	1	no	—
1218	C₃×D₄	—	8	1	no	—
1219	C₃×D₄	—	8	1	no	—
1220	C₂×C₃×C₄	—	2	1	no	—
1221	C₂×C₃×C₄	—	2	1	no	—
1222	C₂×C₃×C₄	—	2	1	no	—
1223	C₂×C₃×C₄	—	2	1	no	—
1224	C₂×C₃×C₄	—	2	1	no	—
1225	C₂×C₃×C₄	—	2	1	no	—
1226	C₂×C₃×C₄	—	2	1	no	—
1227	C₂×C₃×C₄	—	2	1	no	—
1228	C₂×C₃×C₄	—	2	1	no	—
1229	C₂×C₃×C₄	—	2	1	no	—
1230	C₂×C₃×C₄	—	2	1	no	—
1231	C₂×C₃×C₄	—	2	1	no	—
1232	C₂×C₃×C₄	—	2	1	no	—
1233	C₂×C₃×C₄	—	2	1	no	—
1234	C₂×C₃×C₄	—	2	1	no	—
1235	C₂×C₃×C₄	—	2	1	no	—
1236	C₂×C₃×C₄	—	2	1	no	—
1237	C₂×C₃×C₄	—	2	1	no	—
1238	C₂×C₃×C₄	—	2	1	no	—
1239	C₂×C₃×C₄	—	2	1	no	—
1240	C₂×C₃×C₄	—	2	1	no	—
1241	C₂×C₃×C₄	—	2	1	no	—
1242	C₂×C₃×C₄	—	4	1	no	—
1243	C₂×C₃×C₄	—	4	1	no	—
1244	C₂×C₃×C₄	—	4	2	no	—
1245	C₂×C₃×C₄	—	4	2	no	—
1246	C₂×C₃×C₄	—	8	1	no	—
1247	C₂×C₃×C₄	—	8	1	no	—
1248	C₂×C₃×C₄	—	8	1	no	—
1249	C₂×C₃×C₄	—	8	1	no	—
1250	C₂×C₃×C₄	—	8	1	no	—
1251	C₂×C₃×C₄	—	8	1	no	—
1252	C₂×C₃×C₄	—	8	1	no	—
1253	C₂×C₃×C₄	—	8	1	no	—
1254	C₂×C₃×C₄	—	8	1	no	—
1255	C₂×C₃×C₄	—	8	1	no	—
1256	C₂×C₃×C₄	—	8	1	no	—
1257	C₂×C₃×C₄	—	8	1	no	—
1258	C₂×C₃×C₄	—	8	1	no	—
1259	C₂×C₃×C₄	—	8	1	no	—
1260	C₂×C₃×C₄	C₂²×D₄	1	1	yes	characteristic
1261	C₂×C₃×C₄	C₂²×D₄	1	1	yes	characteristic
1262	C₂×C₃×C₄	C₂²×D₄	1	1	yes	characteristic
1263	C₂×C₃×C₄	C₂²×D₄	1	1	yes	characteristic
1264	C₂×C₃×C₄	C₂²×D₄	1	1	yes	characteristic
1265	C₂×C₃×C₄	C₂²×D₄	1	1	yes	characteristic
1266	C₂×C₃×C₄	C₂²×D₄	1	1	yes	characteristic
1267	C₂×C₃×C₄	C₂²×D₄	1	1	yes	characteristic
1268	C₂×C₃×C₄	C₂²×D₄	1	1	yes	characteristic
1269	C₂×C₃×C₄	C₂⁵	1	1	yes	characteristic
1270	C₃×C₈	—	2	1	no	—
1271	C₃×C₈	—	2	1	no	—
1272	C₃×C₈	—	2	1	no	—
1273	C₃×C₈	—	2	1	no	—
1274	C₃×C₈	—	2	1	no	—
1275	C₃×C₈	—	2	1	no	—
1276	C₃×C₈	—	2	1	no	—
1277	C₃×C₈	—	2	1	no	—
1278	C₂⁴	—	2	1	no	—
1279	C₂⁴	—	2	1	no	—
1280	#41	—	4	1	no	—
1281	#41	—	4	1	no	—
1282	#41	—	4	1	no	—
1283	#41	—	4	1	no	—
1284	#41	—	4	1	no	—
1285	#41	—	4	1	no	—
1286	#41	—	4	1	no	—
1287	#41	—	4	1	no	—
1288	#41	—	8	2	no	—
1289	#41	—	8	2	no	—
1290	C₂×Q₈	—	2	1	no	—
1291	C₂×Q₈	—	2	1	no	—
1292	C₂×Q₈	—	2	1	no	—
1293	C₂×Q₈	—	4	1	no	—
1294	C₂×Q₈	—	4	1	no	—
1295	C₂×Q₈	C₂×C₃×D₄	1	1	yes	characteristic
1296	C₂×Q₈	C₂×C₃×D₄	1	1	yes	characteristic
1297	C₂×Q₈	C₂⁴×C₃	1	1	yes	characteristic
1298	C₂×Q₈	C₂⁴×C₃	1	1	yes	characteristic
1299	C₂×D₄	—	2	1	no	—
1300	C₂×D₄	—	2	1	no	—
1301	C₂×D₄	—	2	1	no	—
1302	C₂×D₄	—	2	1	no	—
1303	C₂×D₄	—	2	1	no	—
1304	C₂×D₄	—	2	1	no	—
1305	C₂×D₄	—	2	1	no	—
1306	C₂×D₄	—	2	1	no	—
1307	C₂×D₄	—	2	1	no	—
1308	C₂×D₄	—	2	1	no	—
1309	C₂×D₄	—	2	1	no	—
1310	C₂×D₄	—	2	1	no	—
1311	C₂×D₄	—	2	1	no	—
1312	C₂×D₄	—	2	1	no	—
1313	C₂×D₄	—	2	1	no	—
1314	C₂×D₄	—	2	1	no	—
1315	C₂×D₄	—	2	1	no	—
1316	C₂×D₄	—	2	1	no	—
1317	C₂×D₄	—	4	1	no	—
1318	C₂×D₄	—	4	1	no	—
1319	C₂×D₄	—	4	1	no	—
1320	C₂×D₄	—	4	1	no	—
1321	C₂×D₄	C₂×C₃×D₄	1	1	yes	characteristic
1322	C₂×D₄	C₂×C₃×D₄	1	1	yes	characteristic
1323	C₂×D₄	C₂×C₃×D₄	1	1	yes	characteristic
1324	C₂×D₄	C₂×C₃×D₄	1	1	yes	characteristic
1325	C₂×D₄	C₂×C₃×D₄	1	1	yes	characteristic
1326	C₂×D₄	C₂×C₃×D₄	1	1	yes	characteristic
1327	C₂×D₄	C₂×C₃×D₄	1	1	yes	characteristic
1328	C₂×D₄	C₂×C₃×D₄	1	1	yes	characteristic
1329	C₂×D₄	C₂×C₃×D₄	1	1	yes	characteristic
1330	C₂×D₄	C₂×C₃×D₄	1	1	yes	characteristic
1331	C₂×D₄	C₂⁴×C₃	1	1	yes	characteristic
1332	C₂×D₄	C₂⁴×C₃	1	1	yes	characteristic
1333	C₂×D₄	C₂⁴×C₃	1	1	yes	characteristic
1334	C₂×D₄	C₂⁴×C₃	1	1	yes	characteristic
1335	C₂²×C₄	—	2	1	no	—
1336	C₂²×C₄	—	2	1	no	—
1337	C₂²×C₄	—	2	1	no	—
1338	C₂²×C₄	—	2	1	no	—
1339	C₂²×C₄	—	2	1	no	—
1340	C₂²×C₄	—	2	1	no	—
1341	C₂²×C₄	—	2	1	no	—
1342	C₂²×C₄	—	2	1	no	—
1343	C₂²×C₄	—	2	1	no	—
1344	C₂²×C₄	—	2	1	no	—
1345	C₂²×C₄	—	2	1	no	—
1346	C₂²×C₄	—	2	1	no	—
1347	C₂²×C₄	—	2	1	no	—
1348	C₂²×C₄	—	2	1	no	—
1349	C₂²×C₄	—	2	1	no	—
1350	C₂²×C₄	—	2	1	no	—
1351	C₂²×C₄	—	8	2	no	—
1352	C₂²×C₄	C₂×C₃×D₄	1	1	yes	characteristic
1353	C₂²×C₄	C₂×C₃×D₄	1	1	yes	characteristic
1354	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
1355	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
1356	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
1357	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
1358	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
1359	SD₁₆	—	4	1	no	—
1360	SD₁₆	—	4	1	no	—
1361	SD₁₆	—	4	1	no	—
1362	SD₁₆	—	4	1	no	—
1363	D₈	—	4	1	no	—
1364	D₈	—	4	1	no	—
1365	D₈	—	4	1	no	—
1366	D₈	—	4	1	no	—
1367	M₁₆	—	4	1	no	—
1368	M₁₆	—	4	1	no	—
1369	M₁₆	—	4	1	no	—
1370	M₁₆	—	4	1	no	—
1371	C₂×C₈	—	4	1	no	—
1372	C₂×C₈	—	4	1	no	—
1373	C₂×C₈	—	4	1	no	—
1374	C₂×C₈	—	4	1	no	—
1375	C₂×C₈	C₂⁴×C₃	1	1	yes	characteristic
1376	C₂×C₈	C₂⁴×C₃	1	1	yes	characteristic
1377	C₂×C₈	C₂⁴×C₃	1	1	yes	characteristic
1378	C₂×C₈	C₂⁴×C₃	1	1	yes	characteristic
1379	C₂×C₈	C₂⁴×C₃	1	1	yes	characteristic
1380	C₂×C₈	C₂⁴×C₃	1	1	yes	characteristic
1381	C₂×C₈	C₂⁴×C₃	1	1	yes	characteristic
1382	C₂×C₈	C₂⁴×C₃	1	1	yes	characteristic
1383	C₄⋊C₄	—	2	1	no	—
1384	C₄⋊C₄	—	2	1	no	—
1385	C₄⋊C₄	—	2	1	no	—
1386	C₄⋊C₄	—	2	1	no	—
1387	C₄⋊C₄	—	2	1	no	—
1388	C₄⋊C₄	—	2	1	no	—
1389	C₄⋊C₄	—	2	1	no	—
1390	C₄⋊C₄	—	2	1	no	—
1391	C₄⋊C₄	—	2	1	no	—
1392	C₄⋊C₄	—	2	1	no	—
1393	C₄⋊C₄	—	2	1	no	—
1394	C₄⋊C₄	—	2	1	no	—
1395	C₄⋊C₄	—	2	1	no	—
1396	C₄⋊C₄	—	2	1	no	—
1397	C₄⋊C₄	—	2	1	no	—
1398	C₄⋊C₄	—	2	1	no	—
1399	C₄⋊C₄	—	2	1	no	—
1400	C₄⋊C₄	—	2	1	no	—
1401	C₄⋊C₄	—	2	1	no	—
1402	C₄⋊C₄	—	2	1	no	—
1403	C₄⋊C₄	—	2	1	no	—
1404	C₄⋊C₄	—	2	1	no	—
1405	C₄⋊C₄	—	2	1	no	—
1406	C₄⋊C₄	—	2	1	no	—
1407	C₄⋊C₄	—	2	1	no	—
1408	C₄⋊C₄	C₂×C₃×D₄	1	1	yes	characteristic
1409	C₄⋊C₄	C₂×C₃×D₄	1	1	yes	characteristic
1410	C₄⋊C₄	C₂×C₃×D₄	1	1	yes	characteristic
1411	C₄⋊C₄	C₂×C₃×D₄	1	1	yes	characteristic
1412	C₄⋊C₄	C₂⁴×C₃	1	1	yes	characteristic
1413	C₄⋊C₄	C₂⁴×C₃	1	1	yes	characteristic
1414	C₄⋊C₄	C₂⁴×C₃	1	1	yes	characteristic
1415	C₄⋊C₄	C₂⁴×C₃	1	1	yes	characteristic
1416	C₄⋊C₄	C₂⁴×C₃	1	1	yes	characteristic
1417	C₄⋊C₄	C₂⁴×C₃	1	1	yes	characteristic
1418	C₄⋊C₄	C₂⁴×C₃	1	1	yes	characteristic
1419	C₄⋊C₄	C₂⁴×C₃	1	1	yes	characteristic
1420	C₄⋊C₄	C₂⁴×C₃	1	1	yes	characteristic
1421	C₄⋊C₄	C₂⁴×C₃	1	1	yes	characteristic
1422	C₂²⋊C₄	—	2	1	no	—
1423	C₂²⋊C₄	—	2	1	no	—
1424	C₂²⋊C₄	—	2	1	no	—
1425	C₂²⋊C₄	—	2	1	no	—
1426	C₂²⋊C₄	—	2	1	no	—
1427	C₂²⋊C₄	—	2	1	no	—
1428	C₂²⋊C₄	—	2	1	no	—
1429	C₂²⋊C₄	—	2	1	no	—
1430	C₂²⋊C₄	—	2	1	no	—
1431	C₂²⋊C₄	—	2	1	no	—
1432	C₂²⋊C₄	—	2	1	no	—
1433	C₂²⋊C₄	—	2	1	no	—
1434	C₂²⋊C₄	—	2	1	no	—
1435	C₂²⋊C₄	—	2	1	no	—
1436	C₂²⋊C₄	—	2	1	no	—
1437	C₂²⋊C₄	—	2	1	no	—
1438	C₂²⋊C₄	—	2	1	no	—
1439	C₂²⋊C₄	—	2	1	no	—
1440	C₂²⋊C₄	—	2	1	no	—
1441	C₂²⋊C₄	—	2	1	no	—
1442	C₂²⋊C₄	—	2	1	no	—
1443	C₂²⋊C₄	—	2	1	no	—
1444	C₂²⋊C₄	—	2	1	no	—
1445	C₂²⋊C₄	—	2	1	no	—
1446	C₂²⋊C₄	—	2	1	no	—
1447	C₂²⋊C₄	—	2	1	no	—
1448	C₂²⋊C₄	—	2	1	no	—
1449	C₂²⋊C₄	—	2	1	no	—
1450	C₂²⋊C₄	—	2	1	no	—
1451	C₂²⋊C₄	—	2	1	no	—
1452	C₂²⋊C₄	—	2	1	no	—
1453	C₂²⋊C₄	—	2	1	no	—
1454	C₂²⋊C₄	—	2	1	no	—
1455	C₂²⋊C₄	—	2	1	no	—
1456	C₂²⋊C₄	—	2	1	no	—
1457	C₂²⋊C₄	—	2	1	no	—
1458	C₂²⋊C₄	—	2	1	no	—
1459	C₂²⋊C₄	—	2	1	no	—
1460	C₂²⋊C₄	C₂×C₃×D₄	1	1	yes	characteristic
1461	C₂²⋊C₄	C₂×C₃×D₄	1	1	yes	characteristic
1462	C₂²⋊C₄	C₂×C₃×D₄	1	1	yes	characteristic
1463	C₂²⋊C₄	C₂×C₃×D₄	1	1	yes	characteristic
1464	C₂²⋊C₄	C₂×C₃×D₄	1	1	yes	characteristic
1465	C₂²⋊C₄	C₂×C₃×D₄	1	1	yes	characteristic
1466	C₂²⋊C₄	C₂×C₃×D₄	1	1	yes	characteristic
1467	C₂²⋊C₄	C₂×C₃×D₄	1	1	yes	characteristic
1468	C₄²	—	2	1	no	—
1469	C₄²	—	2	1	no	—
1470	C₄²	—	2	1	no	—
1471	C₄²	—	2	1	no	—
1472	C₄²	—	2	1	no	—
1473	C₄²	—	2	1	no	—
1474	C₄²	—	2	1	no	—
1475	C₄²	—	2	1	no	—
1476	C₄²	—	2	1	no	—
1477	C₄²	—	2	1	no	—
1478	C₄²	C₂×C₃×D₄	1	1	yes	characteristic
1479	C₄²	C₂×C₃×D₄	1	1	yes	characteristic
1480	C₄²	C₂⁴×C₃	1	1	yes	characteristic
1481	C₄²	C₂⁴×C₃	1	1	yes	characteristic
1482	C₂²×C₃	—	2	1	no	—
1483	C₂²×C₃	—	2	1	no	—
1484	C₂²×C₃	—	2	1	no	—
1485	C₂²×C₃	—	2	1	no	—
1486	C₂²×C₃	—	2	1	no	—
1487	C₂²×C₃	—	2	1	no	—
1488	C₂²×C₃	—	2	1	no	—
1489	C₂²×C₃	—	2	1	no	—
1490	C₂²×C₃	—	2	1	no	—
1491	C₂²×C₃	—	2	1	no	—
1492	C₂²×C₃	—	2	1	no	—
1493	C₂²×C₃	—	2	1	no	—
1494	C₂²×C₃	—	2	1	no	—
1495	C₂²×C₃	—	2	1	no	—
1496	C₂²×C₃	—	2	1	no	—
1497	C₂²×C₃	—	4	1	no	—
1498	C₂²×C₃	—	4	1	no	—
1499	C₂²×C₃	—	4	1	no	—
1500	C₂²×C₃	—	4	1	no	—
1501	C₂²×C₃	—	4	1	no	—
1502	C₂²×C₃	—	4	1	no	—
1503	C₂²×C₃	—	4	1	no	—
1504	C₂²×C₃	—	4	1	no	—
1505	C₂²×C₃	—	4	1	no	—
1506	C₂²×C₃	—	4	1	no	—
1507	C₂²×C₃	—	4	1	no	—
1508	C₂²×C₃	—	4	1	no	—
1509	C₂²×C₃	—	8	4	no	—
1510	C₂²×C₃	—	16	2	no	—
1511	C₂²×C₃	C₂³×D₄	1	1	yes	characteristic
1512	C₃×C₄	—	2	1	no	—
1513	C₃×C₄	—	2	1	no	—
1514	C₃×C₄	—	2	1	no	—
1515	C₃×C₄	—	2	1	no	—
1516	C₃×C₄	—	2	1	no	—
1517	C₃×C₄	—	2	1	no	—
1518	C₃×C₄	—	2	1	no	—
1519	C₃×C₄	—	2	1	no	—
1520	C₃×C₄	—	2	1	no	—
1521	C₃×C₄	—	4	1	no	—
1522	C₃×C₄	—	4	1	no	—
1523	C₃×C₄	—	4	1	no	—
1524	C₃×C₄	—	4	1	no	—
1525	C₃×C₄	—	4	1	no	—
1526	C₃×C₄	—	4	1	no	—
1527	C₃×C₄	—	4	1	no	—
1528	C₃×C₄	—	4	1	no	—
1529	C₃×C₄	—	4	1	no	—
1530	C₃×C₄	—	4	1	no	—
1531	C₃×C₄	—	4	1	no	—
1532	C₃×C₄	—	4	1	no	—
1533	C₃×C₄	#585	1	1	yes	characteristic
1534	C₃×C₄	#585	1	1	yes	characteristic
1535	C₂³	—	2	1	no	—
1536	C₂³	—	2	1	no	—
1537	C₂³	—	2	1	no	—
1538	C₂³	—	2	1	no	—
1539	C₂³	—	4	2	no	—
1540	C₂³	—	8	1	no	—
1541	C₂³	—	8	1	no	—
1542	C₂³	—	8	1	no	—
1543	C₂³	—	8	1	no	—
1544	C₂³	—	8	1	no	—
1545	C₂³	C₂²×C₃×D₄	1	1	yes	characteristic
1546	C₂³	C₂²×C₃×D₄	1	1	yes	characteristic
1547	C₂³	C₂²×C₃×D₄	1	1	yes	characteristic
1548	C₂³	C₂²×C₃×D₄	1	1	yes	characteristic
1549	C₂³	C₂²×C₃×D₄	1	1	yes	characteristic
1550	Q₈	—	2	1	no	—
1551	Q₈	—	2	1	no	—
1552	Q₈	—	2	1	no	—
1553	Q₈	—	2	1	no	—
1554	Q₈	—	4	1	no	—
1555	Q₈	—	4	1	no	—
1556	Q₈	—	4	2	no	—
1557	Q₈	—	8	1	no	—
1558	Q₈	—	8	1	no	—
1559	D₄	—	2	1	no	—
1560	D₄	—	2	1	no	—
1561	D₄	—	2	1	no	—
1562	D₄	—	2	1	no	—
1563	D₄	—	2	1	no	—
1564	D₄	—	2	1	no	—
1565	D₄	—	2	1	no	—
1566	D₄	—	2	1	no	—
1567	D₄	—	4	1	no	—
1568	D₄	—	4	1	no	—
1569	D₄	—	4	1	no	—
1570	D₄	—	4	1	no	—
1571	D₄	—	4	1	no	—
1572	D₄	—	4	1	no	—
1573	D₄	—	4	1	no	—
1574	D₄	—	4	1	no	—
1575	D₄	—	4	1	no	—
1576	D₄	—	4	1	no	—
1577	D₄	—	4	2	no	—
1578	D₄	—	8	1	no	—
1579	D₄	—	8	1	no	—
1580	D₄	—	8	1	no	—
1581	D₄	—	8	1	no	—
1582	D₄	—	8	1	no	—
1583	D₄	—	8	1	no	—
1584	D₄	—	8	1	no	—
1585	D₄	—	8	1	no	—
1586	D₄	—	8	1	no	—
1587	D₄	—	8	1	no	—
1588	D₄	—	8	1	no	—
1589	D₄	—	8	1	no	—
1590	D₄	—	8	1	no	—
1591	D₄	—	8	1	no	—
1592	D₄	—	8	1	no	—
1593	D₄	—	8	1	no	—
1594	D₄	—	8	1	no	—
1595	C₂×C₄	—	2	1	no	—
1596	C₂×C₄	—	2	1	no	—
1597	C₂×C₄	—	2	1	no	—
1598	C₂×C₄	—	2	1	no	—
1599	C₂×C₄	—	2	1	no	—
1600	C₂×C₄	—	2	1	no	—
1601	C₂×C₄	—	2	1	no	—
1602	C₂×C₄	—	2	1	no	—
1603	C₂×C₄	—	2	1	no	—
1604	C₂×C₄	—	2	1	no	—
1605	C₂×C₄	—	2	1	no	—
1606	C₂×C₄	—	2	1	no	—
1607	C₂×C₄	—	2	1	no	—
1608	C₂×C₄	—	2	1	no	—
1609	C₂×C₄	—	2	1	no	—
1610	C₂×C₄	—	2	1	no	—
1611	C₂×C₄	—	2	1	no	—
1612	C₂×C₄	—	2	1	no	—
1613	C₂×C₄	—	2	1	no	—
1614	C₂×C₄	—	2	1	no	—
1615	C₂×C₄	—	2	1	no	—
1616	C₂×C₄	—	2	1	no	—
1617	C₂×C₄	—	4	1	no	—
1618	C₂×C₄	—	4	1	no	—
1619	C₂×C₄	—	4	2	no	—
1620	C₂×C₄	—	4	2	no	—
1621	C₂×C₄	—	8	1	no	—
1622	C₂×C₄	—	8	1	no	—
1623	C₂×C₄	—	8	1	no	—
1624	C₂×C₄	—	8	1	no	—
1625	C₂×C₄	—	8	1	no	—
1626	C₂×C₄	—	8	1	no	—
1627	C₂×C₄	—	8	1	no	—
1628	C₂×C₄	—	8	1	no	—
1629	C₂×C₄	—	8	1	no	—
1630	C₂×C₄	—	8	1	no	—
1631	C₂×C₄	—	8	1	no	—
1632	C₂×C₄	—	8	1	no	—
1633	C₂×C₄	—	8	1	no	—
1634	C₂×C₄	—	8	1	no	—
1635	C₂×C₄	C₂²×C₃×D₄	1	1	yes	characteristic
1636	C₂×C₄	C₂²×C₃×D₄	1	1	yes	characteristic
1637	C₂×C₄	C₂²×C₃×D₄	1	1	yes	characteristic
1638	C₂×C₄	C₂²×C₃×D₄	1	1	yes	characteristic
1639	C₂×C₄	C₂²×C₃×D₄	1	1	yes	characteristic
1640	C₂×C₄	C₂²×C₃×D₄	1	1	yes	characteristic
1641	C₂×C₄	C₂²×C₃×D₄	1	1	yes	characteristic
1642	C₂×C₄	C₂²×C₃×D₄	1	1	yes	characteristic
1643	C₂×C₄	C₂²×C₃×D₄	1	1	yes	characteristic
1644	C₂×C₄	C₂⁵×C₃	1	1	yes	characteristic
1645	C₈	—	2	1	no	—
1646	C₈	—	2	1	no	—
1647	C₈	—	2	1	no	—
1648	C₈	—	2	1	no	—
1649	C₈	—	2	1	no	—
1650	C₈	—	2	1	no	—
1651	C₈	—	2	1	no	—
1652	C₈	—	2	1	no	—
1653	C₂×C₃	—	4	1	no	—
1654	C₂×C₃	—	4	1	no	—
1655	C₂×C₃	—	4	1	no	—
1656	C₂×C₃	—	4	1	no	—
1657	C₂×C₃	—	4	1	no	—
1658	C₂×C₃	—	8	1	no	—
1659	C₂×C₃	—	8	1	no	—
1660	C₂×C₃	—	8	1	no	—
1661	C₂×C₃	—	8	1	no	—
1662	C₂×C₃	#3485	1	1	yes	characteristic
1663	C₂×C₃	#3584	1	1	yes	characteristic
1664	C₂×C₃	#3585	1	1	yes	characteristic
1665	C₂²	—	2	1	no	—
1666	C₂²	—	2	1	no	—
1667	C₂²	—	2	1	no	—
1668	C₂²	—	2	1	no	—
1669	C₂²	—	2	1	no	—
1670	C₂²	—	2	1	no	—
1671	C₂²	—	2	1	no	—
1672	C₂²	—	2	1	no	—
1673	C₂²	—	2	1	no	—
1674	C₂²	—	2	1	no	—
1675	C₂²	—	2	1	no	—
1676	C₂²	—	2	1	no	—
1677	C₂²	—	2	1	no	—
1678	C₂²	—	2	1	no	—
1679	C₂²	—	2	1	no	—
1680	C₂²	—	4	1	no	—
1681	C₂²	—	4	1	no	—
1682	C₂²	—	4	1	no	—
1683	C₂²	—	4	1	no	—
1684	C₂²	—	4	1	no	—
1685	C₂²	—	4	1	no	—
1686	C₂²	—	4	1	no	—
1687	C₂²	—	4	1	no	—
1688	C₂²	—	4	1	no	—
1689	C₂²	—	4	1	no	—
1690	C₂²	—	4	1	no	—
1691	C₂²	—	4	1	no	—
1692	C₂²	—	8	4	no	—
1693	C₂²	—	16	2	no	—
1694	C₂²	C₂³×C₃×D₄	1	1	yes	characteristic
1695	C₄	—	2	1	no	—
1696	C₄	—	2	1	no	—
1697	C₄	—	2	1	no	—
1698	C₄	—	2	1	no	—
1699	C₄	—	2	1	no	—
1700	C₄	—	2	1	no	—
1701	C₄	—	2	1	no	—
1702	C₄	—	2	1	no	—
1703	C₄	—	2	1	no	—
1704	C₄	—	4	1	no	—
1705	C₄	—	4	1	no	—
1706	C₄	—	4	1	no	—
1707	C₄	—	4	1	no	—
1708	C₄	—	4	1	no	—
1709	C₄	—	4	1	no	—
1710	C₄	—	4	1	no	—
1711	C₄	—	4	1	no	—
1712	C₄	—	4	1	no	—
1713	C₄	—	4	1	no	—
1714	C₄	—	4	1	no	—
1715	C₄	—	4	1	no	—
1716	C₄	C₃×#585	1	1	yes	characteristic
1717	C₄	C₃×#585	1	1	yes	characteristic
1718	C₃	#61804	1	1	yes	characteristic, direct product factor, Sylow
1719	C₂	—	4	1	no	—
1720	C₂	—	4	1	no	—
1721	C₂	—	4	1	no	—
1722	C₂	—	4	1	no	—
1723	C₂	—	4	1	no	—
1724	C₂	—	8	1	no	—
1725	C₂	—	8	1	no	—
1726	C₂	—	8	1	no	—
1727	C₂	—	8	1	no	—
1728	C₂	C₃×#3485	1	1	yes	characteristic
1729	C₂	C₃×#3584	1	1	yes	characteristic
1730	C₂	C₃×#3585	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂²×C₃	C₂³×D₄
commutator, Frattini, cosocle	C₂×C₄	C₂⁵×C₃
LCS	G ▷ C₂×C₄ ▷ C₂ ▷ C₁
UCS	C₁ ◁ C₂²×C₃ ◁ C₃×#532 ◁ G

Complements

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

N	H ≅ G/N	type
1. C₃×#3551	C₂	semidirect
2. C₃×#3506	C₂	semidirect
3. C₃×#3355	C₂	semidirect
4. C₃×#3351	C₂	semidirect
5. C₃×#3348	C₂	semidirect
6. C₃×#3347	C₂	semidirect
7. C₃×#3345	C₂	semidirect
8. C₃×#3343	C₂	semidirect
9. C₃×#3339	C₂	semidirect
10. C₃×#3337	C₂	semidirect
11. C₃×#3326	C₂	semidirect
12. C₃×#3322	C₂	semidirect
13. C₃×#3321	C₂	semidirect
14. C₃×#3319	C₂	semidirect
15. C₃×#3308	C₂	semidirect
16. C₃×#3306	C₂	semidirect
17. C₃×#3301	C₂	semidirect
18. C₃×#3297	C₂	semidirect
19. C₃×#3240	C₂	semidirect
20. C₃×#3233	C₂	semidirect
21. C₃×#3200	C₂	semidirect
22. C₃×#3199	C₂	semidirect
23. C₃×#3198	C₂	semidirect
24. C₃×#3198	C₂	semidirect
25. C₃×#3114	C₂	semidirect
26. C₃×#3105	C₂	semidirect
27. C₃×#3099	C₂	semidirect
28. C₃×#3098	C₂	semidirect
29. C₃×#3097	C₂	semidirect
30. C₃×#3096	C₂	semidirect
31. C₃×#2981	C₂	semidirect
32. #61804	C₃	direct (N × H)
40. C₃×#555	C₂²	semidirect
43. C₃×#553	C₂²	semidirect
44. C₃×#553	C₂²	semidirect
45. C₃×#553	C₂²	semidirect
46. C₃×#553	C₂²	semidirect
47. C₃×#552	C₂²	semidirect
48. C₃×#552	C₂²	semidirect
51. C₃×#548	C₂²	semidirect
52. C₃×#548	C₂²	semidirect
54. C₃×#547	C₂²	semidirect
55. C₃×#546	C₂²	semidirect
56. C₃×#546	C₂²	semidirect
68. C₃×#535	C₂²	semidirect
69. C₃×#533	C₂²	semidirect
76. C₃×#520	C₂²	semidirect
77. C₂×C₃×C₄×D₄	C₂²	semidirect
78. C₃×#501	C₂²	semidirect
79. C₃×#501	C₂²	semidirect
80. C₃×#499	C₂²	semidirect
81. C₃×#499	C₂²	semidirect
82. C₃×#489	C₂²	semidirect
83. C₃×#489	C₂²	semidirect
84. C₃×#488	C₂²	semidirect
85. C₃×#488	C₂²	semidirect
86. C₃×#485	C₂²	semidirect
87. C₃×#485	C₂²	semidirect
88. C₃×#485	C₂²	semidirect
89. C₃×#485	C₂²	semidirect
90. C₃×#485	C₂²	semidirect
91. C₃×#485	C₂²	semidirect
92. C₃×#485	C₂²	semidirect
93. C₃×#485	C₂²	semidirect
94. C₃×#484	C₂²	semidirect
95. C₃×#484	C₂²	semidirect
96. C₃×#484	C₂²	semidirect
97. C₃×#483	C₂²	semidirect
98. C₃×#483	C₂²	semidirect
99. C₃×#483	C₂²	semidirect
106. C₃×#482	C₂²	semidirect
107. C₃×#482	C₂²	semidirect
108. C₃×#482	C₂²	semidirect
109. C₃×#482	C₂²	semidirect
110. C₃×#482	C₂²	semidirect
111. C₃×#482	C₂²	semidirect
113. C₃×#481	C₂²	semidirect
114. C₃×#481	C₂²	semidirect
115. C₃×#481	C₂²	semidirect
116. C₃×#481	C₂²	semidirect
118. C₃×#480	C₂²	semidirect
119. C₃×#480	C₂²	semidirect
120. C₃×#480	C₂²	semidirect
121. C₃×#480	C₂²	semidirect
122. C₃×#479	C₂²	semidirect
123. C₃×#479	C₂²	semidirect
124. C₃×#478	C₂²	semidirect
125. C₃×#478	C₂²	semidirect
126. C₃×#478	C₂²	semidirect
127. C₃×#478	C₂²	semidirect
128. C₃×#478	C₂²	semidirect
129. C₃×#478	C₂²	semidirect
130. C₃×#477	C₂²	semidirect
131. C₃×#476	C₂²	semidirect
132. C₃×#475	C₂²	semidirect
133. C₃×#474	C₂²	semidirect
140. C₃×#468	C₂²	semidirect
141. C₃×#468	C₂²	semidirect
148. C₃×#465	C₂²	semidirect
149. C₃×#465	C₂²	semidirect
154. C₃×#450	C₂²	semidirect
155. C₃×#450	C₂²	semidirect
160. C₃×#448	C₂²	semidirect
161. C₃×#448	C₂²	semidirect
168. C₃×#440	C₂²	semidirect
169. C₃×#440	C₂²	semidirect
170. C₃×C₄×SD₁₆	C₂²	semidirect
171. C₃×C₄×SD₁₆	C₂²	semidirect
174. C₃×#436	C₂²	semidirect
175. C₃×#436	C₂²	semidirect
176. C₃×#435	C₂²	semidirect
177. C₃×#435	C₂²	semidirect
178. C₃×#435	C₂²	semidirect
179. C₃×#435	C₂²	semidirect
180. C₃×C₈×D₄	C₂²	semidirect
181. C₃×C₈×D₄	C₂²	semidirect
182. C₃×#432	C₂²	semidirect
183. C₃×#431	C₂²	semidirect
184. C₃×#428	C₂²	semidirect
185. C₃×#428	C₂²	semidirect
186. C₃×#428	C₂²	semidirect
187. C₃×#428	C₂²	semidirect
188. C₃×#427	C₂²	semidirect
189. C₃×#427	C₂²	semidirect
190. C₂×C₃×#107	C₂²	semidirect
191. C₂×C₃×#106	C₂²	semidirect
192. C₃×#419	C₂²	semidirect
193. C₃×#418	C₂²	semidirect
194. C₃×#417	C₂²	semidirect
195. C₃×#417	C₂²	semidirect
196. C₃×#416	C₂²	semidirect
197. C₃×#416	C₂²	semidirect
198. C₂×C₃×#103	C₂²	semidirect
199. C₂×C₃×#102	C₂²	semidirect
202. C₃×#408	C₂²	semidirect
203. C₃×#408	C₂²	semidirect
204. #3551	C₂×C₃	semidirect
205. #3506	C₂×C₃	semidirect
206. #3355	C₂×C₃	semidirect
207. #3351	C₂×C₃	semidirect
208. #3348	C₂×C₃	semidirect
209. #3347	C₂×C₃	semidirect
210. #3345	C₂×C₃	semidirect
211. #3343	C₂×C₃	semidirect
212. #3339	C₂×C₃	semidirect
213. #3337	C₂×C₃	semidirect
214. #3326	C₂×C₃	semidirect
215. #3322	C₂×C₃	semidirect
216. #3321	C₂×C₃	semidirect
217. #3319	C₂×C₃	semidirect
218. #3308	C₂×C₃	semidirect
219. #3306	C₂×C₃	semidirect
220. #3301	C₂×C₃	semidirect
221. #3297	C₂×C₃	semidirect
222. #3240	C₂×C₃	semidirect
223. #3233	C₂×C₃	semidirect
224. #3200	C₂×C₃	semidirect
225. #3199	C₂×C₃	semidirect
226. #3198	C₂×C₃	semidirect
227. #3198	C₂×C₃	semidirect
228. #3114	C₂×C₃	semidirect
229. #3105	C₂×C₃	semidirect
230. #3099	C₂×C₃	semidirect
231. #3098	C₂×C₃	semidirect
232. #3097	C₂×C₃	semidirect
233. #3096	C₂×C₃	semidirect
234. #2981	C₂×C₃	semidirect
517. #555	C₂²×C₃	semidirect
520. #553	C₂²×C₃	semidirect
521. #553	C₂²×C₃	semidirect
522. #553	C₂²×C₃	semidirect
523. #553	C₂²×C₃	semidirect
524. #552	C₂²×C₃	semidirect
525. #552	C₂²×C₃	semidirect
528. #548	C₂²×C₃	semidirect
529. #548	C₂²×C₃	semidirect
531. #547	C₂²×C₃	semidirect
532. #546	C₂²×C₃	semidirect
533. #546	C₂²×C₃	semidirect
545. #535	C₂²×C₃	semidirect
546. #533	C₂²×C₃	semidirect
553. #520	C₂²×C₃	semidirect
554. C₂×C₄×D₄	C₂²×C₃	semidirect
555. #501	C₂²×C₃	semidirect
556. #501	C₂²×C₃	semidirect
557. #499	C₂²×C₃	semidirect
558. #499	C₂²×C₃	semidirect
559. #489	C₂²×C₃	semidirect
560. #489	C₂²×C₃	semidirect
561. #488	C₂²×C₃	semidirect
562. #488	C₂²×C₃	semidirect
563. #485	C₂²×C₃	semidirect
564. #485	C₂²×C₃	semidirect
565. #485	C₂²×C₃	semidirect
566. #485	C₂²×C₃	semidirect
567. #485	C₂²×C₃	semidirect
568. #485	C₂²×C₃	semidirect
569. #485	C₂²×C₃	semidirect
570. #485	C₂²×C₃	semidirect
571. #484	C₂²×C₃	semidirect
572. #484	C₂²×C₃	semidirect
573. #484	C₂²×C₃	semidirect
574. #483	C₂²×C₃	semidirect
575. #483	C₂²×C₃	semidirect
576. #483	C₂²×C₃	semidirect
583. #482	C₂²×C₃	semidirect
584. #482	C₂²×C₃	semidirect
585. #482	C₂²×C₃	semidirect
586. #482	C₂²×C₃	semidirect
587. #482	C₂²×C₃	semidirect
588. #482	C₂²×C₃	semidirect
590. #481	C₂²×C₃	semidirect
591. #481	C₂²×C₃	semidirect
592. #481	C₂²×C₃	semidirect
593. #481	C₂²×C₃	semidirect
595. #480	C₂²×C₃	semidirect
596. #480	C₂²×C₃	semidirect
597. #480	C₂²×C₃	semidirect
598. #480	C₂²×C₃	semidirect
599. #479	C₂²×C₃	semidirect
600. #479	C₂²×C₃	semidirect
601. #478	C₂²×C₃	semidirect
602. #478	C₂²×C₃	semidirect
603. #478	C₂²×C₃	semidirect
604. #478	C₂²×C₃	semidirect
605. #478	C₂²×C₃	semidirect
606. #478	C₂²×C₃	semidirect
607. #477	C₂²×C₃	semidirect
608. #476	C₂²×C₃	semidirect
609. #475	C₂²×C₃	semidirect
610. #474	C₂²×C₃	semidirect
617. #468	C₂²×C₃	semidirect
618. #468	C₂²×C₃	semidirect
625. #465	C₂²×C₃	semidirect
626. #465	C₂²×C₃	semidirect
631. #450	C₂²×C₃	semidirect
632. #450	C₂²×C₃	semidirect
637. #448	C₂²×C₃	semidirect
638. #448	C₂²×C₃	semidirect
645. #440	C₂²×C₃	semidirect
646. #440	C₂²×C₃	semidirect
647. C₄×SD₁₆	C₂²×C₃	semidirect
648. C₄×SD₁₆	C₂²×C₃	semidirect
651. #436	C₂²×C₃	semidirect
652. #436	C₂²×C₃	semidirect
653. #435	C₂²×C₃	semidirect
654. #435	C₂²×C₃	semidirect
655. #435	C₂²×C₃	semidirect
656. #435	C₂²×C₃	semidirect
657. C₈×D₄	C₂²×C₃	semidirect
658. C₈×D₄	C₂²×C₃	semidirect
659. #432	C₂²×C₃	semidirect
660. #431	C₂²×C₃	semidirect
661. #428	C₂²×C₃	semidirect
662. #428	C₂²×C₃	semidirect
663. #428	C₂²×C₃	semidirect
664. #428	C₂²×C₃	semidirect
665. #427	C₂²×C₃	semidirect
666. #427	C₂²×C₃	semidirect
667. C₂×#107	C₂²×C₃	semidirect
668. C₂×#106	C₂²×C₃	semidirect
669. #419	C₂²×C₃	semidirect
670. #418	C₂²×C₃	semidirect
671. #417	C₂²×C₃	semidirect
672. #417	C₂²×C₃	semidirect
673. #416	C₂²×C₃	semidirect
674. #416	C₂²×C₃	semidirect
675. C₂×#103	C₂²×C₃	semidirect
676. C₂×#102	C₂²×C₃	semidirect
679. #408	C₂²×C₃	semidirect
680. #408	C₂²×C₃	semidirect
1718. C₃	#61804	direct (N × H)

Maximal subgroups

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

subgroup	index
C₃×#3551	2
C₃×#3506	2
C₃×#3355	2
C₃×#3351	2
C₃×#3348	2
C₃×#3347	2
C₃×#3345	2
C₃×#3343	2
C₃×#3339	2
C₃×#3337	2
C₃×#3326	2
C₃×#3322	2
C₃×#3321	2
C₃×#3319	2
C₃×#3308	2
C₃×#3306	2
C₃×#3301	2
C₃×#3297	2
C₃×#3240	2
C₃×#3233	2
C₃×#3200	2
C₃×#3199	2
C₃×#3198	2
C₃×#3114	2
C₃×#3105	2
C₃×#3099	2
C₃×#3098	2
C₃×#3097	2
C₃×#3096	2
C₃×#2981	2
#61804	3

Subgroups — C3×#61804 #10680411

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₃×#61804 #10680411