Subgroups — C₃×#61790 #10680397

Order 768.

1706 conjugacy classes of subgroups.

The subgroup lattice has 1700 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×#3512	C₂	1	1	yes	maximal, characteristic, complemented
3	C₃×#3355	C₂	1	1	yes	maximal, characteristic, complemented
4	C₃×#3352	C₂	1	1	yes	maximal, characteristic, complemented
5	C₃×#3351	C₂	1	1	yes	maximal, characteristic, complemented
6	C₃×#3351	C₂	1	1	yes	maximal, characteristic, complemented
7	C₃×#3339	C₂	1	1	yes	maximal, characteristic, complemented
8	C₃×#3337	C₂	1	1	yes	maximal, characteristic, complemented
9	C₃×#3337	C₂	1	1	yes	maximal, characteristic, complemented
10	C₃×#3336	C₂	1	1	yes	maximal, characteristic, complemented
11	C₃×#3327	C₂	1	1	yes	maximal, characteristic, complemented
12	C₃×#3326	C₂	1	1	yes	maximal, characteristic, complemented
13	C₃×#3323	C₂	1	1	yes	maximal, characteristic, complemented
14	C₃×#3322	C₂	1	1	yes	maximal, characteristic, complemented
15	C₃×#3301	C₂	1	1	yes	maximal, characteristic, complemented
16	C₃×#3300	C₂	1	1	yes	maximal, characteristic, complemented
17	C₃×#3297	C₂	1	1	yes	maximal, characteristic, complemented
18	C₃×#3296	C₂	1	1	yes	maximal, characteristic, complemented
19	C₃×#3232	C₂	1	1	yes	maximal, characteristic, complemented
20	C₃×#3232	C₂	1	1	yes	maximal, characteristic, complemented
21	C₃×#3204	C₂	1	1	yes	maximal, characteristic, complemented
22	C₃×#3203	C₂	1	1	yes	maximal, characteristic, complemented
23	C₃×#3201	C₂	1	1	yes	maximal, characteristic, complemented
24	C₃×#3198	C₂	1	1	yes	maximal, characteristic, complemented
25	C₃×#3102	C₂	1	1	yes	maximal, characteristic, complemented
26	C₃×#3102	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×#2979	C₂	1	1	yes	maximal, characteristic, complemented
32	#61790	C₃	1	1	yes	maximal, characteristic, direct product factor, Sylow
33	C₃×#563	—	2	1	no	—
34	C₃×#560	—	2	1	no	—
35	C₃×#555	—	2	1	no	—
36	C₃×#553	—	2	1	no	—
37	C₃×#553	—	2	1	no	—
38	C₃×#553	—	2	1	no	—
39	C₃×#553	—	2	1	no	—
40	C₃×#553	C₂²	1	1	yes	characteristic
41	C₃×#553	C₂²	1	1	yes	characteristic
42	C₃×#553	C₂²	1	1	yes	characteristic
43	C₃×#553	C₂²	1	1	yes	characteristic
44	C₃×#553	C₂²	1	1	yes	characteristic, complemented
45	C₃×#553	C₂²	1	1	yes	characteristic, complemented
46	C₃×#552	C₂²	1	1	yes	characteristic
47	C₃×#552	C₂²	1	1	yes	characteristic
48	C₃×#552	C₂²	1	1	yes	characteristic
49	C₃×#552	C₂²	1	1	yes	characteristic
50	C₃×#552	C₂²	1	1	yes	characteristic, complemented
51	C₃×#552	C₂²	1	1	yes	characteristic, complemented
52	C₃×#551	—	2	1	no	—
53	C₃×#548	C₂²	1	1	yes	characteristic
54	C₃×#548	C₂²	1	1	yes	characteristic
55	C₃×#546	C₂²	1	1	yes	characteristic
56	C₃×#546	C₂²	1	1	yes	characteristic
57	C₃×#541	—	2	1	no	—
58	C₃×#540	—	2	1	no	—
59	C₃×#540	—	2	1	no	—
60	C₃×#540	—	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×#537	C₂²	1	1	yes	characteristic
66	C₃×#537	C₂²	1	1	yes	characteristic, complemented
67	C₃×#536	C₂²	1	1	yes	characteristic
68	C₃×#535	C₂²	1	1	yes	characteristic
69	C₃×#532	C₂²	1	1	yes	characteristic
70	C₃×#529	—	2	1	no	—
71	C₃×#529	—	2	1	no	—
72	C₃×#529	C₂²	1	1	yes	characteristic
73	C₃×#529	C₂²	1	1	yes	characteristic
74	C₂×C₃×#125	C₂²	1	1	yes	characteristic, complemented
75	C₃×#520	C₂²	1	1	yes	characteristic
76	C₃×#520	C₂²	1	1	yes	characteristic, complemented
77	C₃×C₄×#41	C₂²	1	1	yes	characteristic, complemented
78	C₃×#499	C₂²	1	1	yes	characteristic, complemented
79	C₃×#499	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×#488	C₂²	1	1	yes	characteristic
83	C₃×#488	C₂²	1	1	yes	characteristic
84	C₃×#488	C₂²	1	1	yes	characteristic
85	C₃×#488	C₂²	1	1	yes	characteristic
86	C₃×#485	C₂²	1	1	yes	characteristic
87	C₃×#485	C₂²	1	1	yes	characteristic
88	C₃×#485	C₂²	1	1	yes	characteristic
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
95	C₃×#484	C₂²	1	1	yes	characteristic, complemented
96	C₃×#484	C₂²	1	1	yes	characteristic, complemented
97	C₃×#484	C₂²	1	1	yes	characteristic, complemented
98	C₃×#484	C₂²	1	1	yes	characteristic, complemented
99	C₃×#483	C₂²	1	1	yes	characteristic
100	C₃×#483	C₂²	1	1	yes	characteristic, complemented
101	C₃×#483	C₂²	1	1	yes	characteristic, complemented
102	C₃×#483	C₂²	1	1	yes	characteristic, complemented
103	C₃×#483	C₂²	1	1	yes	characteristic, complemented
104	C₃×#482	C₂²	1	1	yes	characteristic
105	C₃×#482	C₂²	1	1	yes	characteristic
106	C₃×#482	C₂²	1	1	yes	characteristic
107	C₃×#482	C₂²	1	1	yes	characteristic
108	C₃×#482	C₂²	1	1	yes	characteristic
109	C₃×#482	C₂²	1	1	yes	characteristic
110	C₃×#482	C₂²	1	1	yes	characteristic
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
114	C₃×#481	C₂²	1	1	yes	characteristic
115	C₃×#481	C₂²	1	1	yes	characteristic
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
119	C₃×#480	C₂²	1	1	yes	characteristic
120	C₃×#480	C₂²	1	1	yes	characteristic
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×#479	C₂²	1	1	yes	characteristic, complemented
125	C₃×#479	C₂²	1	1	yes	characteristic, complemented
126	C₃×#479	C₂²	1	1	yes	characteristic, complemented
127	C₃×#479	C₂²	1	1	yes	characteristic, complemented
128	C₃×#478	C₂²	1	1	yes	characteristic
129	C₃×#478	C₂²	1	1	yes	characteristic
130	C₃×#478	C₂²	1	1	yes	characteristic
131	C₃×#478	C₂²	1	1	yes	characteristic
132	C₃×#478	C₂²	1	1	yes	characteristic, complemented
133	C₃×#478	C₂²	1	1	yes	characteristic, complemented
134	C₃×#470	C₂²	1	1	yes	characteristic
135	C₃×#470	C₂²	1	1	yes	characteristic, complemented
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
141	C₃×#468	C₂²	1	1	yes	characteristic, complemented
142	C₃×#467	C₂²	1	1	yes	characteristic
143	C₃×#467	C₂²	1	1	yes	characteristic, complemented
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
149	C₃×#465	C₂²	1	1	yes	characteristic, complemented
150	C₃×#464	C₂²	1	1	yes	characteristic
151	C₃×#464	C₂²	1	1	yes	characteristic
152	C₃×#463	C₂²	1	1	yes	characteristic
153	C₃×#463	C₂²	1	1	yes	characteristic
154	C₃×#452	C₂²	1	1	yes	characteristic
155	C₃×#452	C₂²	1	1	yes	characteristic
156	C₃×#452	C₂²	1	1	yes	characteristic, complemented
157	C₃×#452	C₂²	1	1	yes	characteristic, complemented
158	C₃×#451	C₂²	1	1	yes	characteristic, complemented
159	C₃×#450	C₂²	1	1	yes	characteristic
160	C₃×#449	C₂²	1	1	yes	characteristic
161	C₃×#449	C₂²	1	1	yes	characteristic
162	C₃×#449	C₂²	1	1	yes	characteristic
163	C₃×#449	C₂²	1	1	yes	characteristic
164	C₃×#448	C₂²	1	1	yes	characteristic, complemented
165	C₃×#447	C₂²	1	1	yes	characteristic
166	C₃×C₄×Q₁₆	C₂²	1	1	yes	characteristic, complemented
167	C₃×C₄×Q₁₆	C₂²	1	1	yes	characteristic, complemented
168	C₃×C₄×SD₁₆	C₂²	1	1	yes	characteristic
169	C₃×C₄×SD₁₆	C₂²	1	1	yes	characteristic
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
175	C₃×#436	C₂²	1	1	yes	characteristic
176	C₃×#436	C₂²	1	1	yes	characteristic, complemented
177	C₃×#436	C₂²	1	1	yes	characteristic, complemented
178	C₃×C₈×D₄	C₂²	1	1	yes	characteristic
179	C₃×C₈×D₄	C₂²	1	1	yes	characteristic
180	C₃×C₈×D₄	C₂²	1	1	yes	characteristic, complemented
181	C₃×C₈×D₄	C₂²	1	1	yes	characteristic, complemented
182	C₃×#431	C₂²	1	1	yes	characteristic, complemented
183	C₃×#431	C₂²	1	1	yes	characteristic, complemented
184	C₃×#428	C₂²	1	1	yes	characteristic
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
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
194	C₃×#417	C₂²	1	1	yes	characteristic
195	C₃×#417	C₂²	1	1	yes	characteristic
196	C₃×#416	C₂²	1	1	yes	characteristic
197	C₃×#416	C₂²	1	1	yes	characteristic
198	C₂×C₃×#103	C₂²	1	1	yes	characteristic, complemented
199	C₂×C₃×#102	C₂²	1	1	yes	characteristic
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	#3512	C₂×C₃	1	1	yes	characteristic, complemented
206	#3355	C₂×C₃	1	1	yes	characteristic, complemented
207	#3352	C₂×C₃	1	1	yes	characteristic, complemented
208	#3351	C₂×C₃	1	1	yes	characteristic, complemented
209	#3351	C₂×C₃	1	1	yes	characteristic, complemented
210	#3339	C₂×C₃	1	1	yes	characteristic, complemented
211	#3337	C₂×C₃	1	1	yes	characteristic, complemented
212	#3337	C₂×C₃	1	1	yes	characteristic, complemented
213	#3336	C₂×C₃	1	1	yes	characteristic, complemented
214	#3327	C₂×C₃	1	1	yes	characteristic, complemented
215	#3326	C₂×C₃	1	1	yes	characteristic, complemented
216	#3323	C₂×C₃	1	1	yes	characteristic, complemented
217	#3322	C₂×C₃	1	1	yes	characteristic, complemented
218	#3301	C₂×C₃	1	1	yes	characteristic, complemented
219	#3300	C₂×C₃	1	1	yes	characteristic, complemented
220	#3297	C₂×C₃	1	1	yes	characteristic, complemented
221	#3296	C₂×C₃	1	1	yes	characteristic, complemented
222	#3232	C₂×C₃	1	1	yes	characteristic, complemented
223	#3232	C₂×C₃	1	1	yes	characteristic, complemented
224	#3204	C₂×C₃	1	1	yes	characteristic, complemented
225	#3203	C₂×C₃	1	1	yes	characteristic, complemented
226	#3201	C₂×C₃	1	1	yes	characteristic, complemented
227	#3198	C₂×C₃	1	1	yes	characteristic, complemented
228	#3102	C₂×C₃	1	1	yes	characteristic, complemented
229	#3102	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	#2979	C₂×C₃	1	1	yes	characteristic, complemented
235	C₂×C₃×#41	C₂³	1	1	yes	characteristic
236	C₂×C₃×#41	C₂³	1	1	yes	characteristic
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	C₂²×C₃×Q₈	C₂³	1	1	yes	characteristic
241	C₂²×C₃×D₄	C₂³	1	1	yes	characteristic
242	C₂×C₃×Q₁₆	C₂³	1	1	yes	characteristic
243	C₂×C₃×Q₁₆	C₂³	1	1	yes	characteristic
244	C₂×C₃×SD₁₆	C₂³	1	1	yes	characteristic
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×D₈	C₂³	1	1	yes	characteristic
249	C₂×C₃×D₈	C₂³	1	1	yes	characteristic
250	C₂×C₃×M₁₆	C₂³	1	1	yes	characteristic
251	C₂×C₃×M₁₆	C₂³	1	1	yes	characteristic
252	C₂×C₃×M₁₆	C₂³	1	1	yes	characteristic
253	C₂×C₃×M₁₆	C₂³	1	1	yes	characteristic
254	C₂²×C₃×C₈	C₂³	1	1	yes	characteristic
255	C₂²×C₃×C₈	C₂³	1	1	yes	characteristic
256	C₂²×C₃×C₈	C₂³	1	1	yes	characteristic
257	C₂²×C₃×C₈	C₂³	1	1	yes	characteristic
258	C₃×C₄⋊Q₈	—	2	1	no	—
259	C₃×C₄⋊Q₈	D₄	1	1	yes	characteristic
260	C₃×#127	—	2	1	no	—
261	C₃×#127	D₄	1	1	yes	characteristic
262	C₃×#126	—	2	1	no	—
263	C₃×#126	—	2	1	no	—
264	C₃×#126	—	2	1	no	—
265	C₃×#126	—	2	1	no	—
266	C₃×#126	—	2	1	no	—
267	C₃×#126	—	2	1	no	—
268	C₃×#126	—	2	1	no	—
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×#125	—	2	1	no	—
277	C₃×#125	—	2	1	no	—
278	C₃×#125	—	2	1	no	—
279	C₃×#125	—	2	1	no	—
280	C₃×#125	—	2	1	no	—
281	C₃×#125	—	2	1	no	—
282	C₃×#125	—	2	1	no	—
283	C₃×#125	—	2	1	no	—
284	C₃×#125	C₂³	1	1	yes	characteristic
285	C₃×#125	C₂³	1	1	yes	characteristic
286	C₃×#125	C₂³	1	1	yes	characteristic
287	C₃×#125	C₂³	1	1	yes	characteristic
288	C₃×#125	C₂³	1	1	yes	characteristic
289	C₃×#125	C₂³	1	1	yes	characteristic
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	D₄	1	1	yes	characteristic
295	C₃×#124	D₄	1	1	yes	characteristic
296	C₃×#124	C₂³	1	1	yes	characteristic
297	C₃×#124	C₂³	1	1	yes	characteristic
298	C₃×#123	—	2	1	no	—
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×C₂²⋊Q₈	—	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	C₂³	1	1	yes	characteristic
323	C₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
324	C₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
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×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
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	—	2	1	no	—
350	C₃×#121	—	2	1	no	—
351	C₃×#121	—	2	1	no	—
352	C₃×#121	—	2	1	no	—
353	C₃×#121	—	2	1	no	—
354	C₃×#121	D₄	1	1	yes	characteristic
355	C₃×#121	D₄	1	1	yes	characteristic
356	C₃×#121	D₄	1	1	yes	characteristic
357	C₃×#121	D₄	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×#121	C₂³	1	1	yes	characteristic
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×C₄×Q₈	—	2	1	no	—
373	C₃×C₄×Q₈	—	2	1	no	—
374	C₃×C₄×Q₈	C₂³	1	1	yes	characteristic
375	C₃×C₄×Q₈	C₂³	1	1	yes	characteristic
376	C₃×C₄×Q₈	C₂³	1	1	yes	characteristic
377	C₃×C₄×Q₈	C₂³	1	1	yes	characteristic
378	C₃×C₄×D₄	—	2	1	no	—
379	C₃×C₄×D₄	—	2	1	no	—
380	C₃×C₄×D₄	—	2	1	no	—
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	C₂³	1	1	yes	characteristic
397	C₃×C₄×D₄	C₂³	1	1	yes	characteristic
398	C₃×C₄×D₄	C₂³	1	1	yes	characteristic
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×#117	—	2	1	no	—
405	C₃×#117	—	2	1	no	—
406	C₃×#117	—	2	1	no	—
407	C₃×#117	—	2	1	no	—
408	C₃×#117	—	2	1	no	—
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	C₂³	1	1	yes	characteristic
414	C₃×#117	C₂³	1	1	yes	characteristic
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	C₂×C₃×C₄⋊C₄	—	2	1	no	—
421	C₂×C₃×C₄⋊C₄	—	2	1	no	—
422	C₂×C₃×C₄⋊C₄	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×C₄²	—	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×#103	C₂³	1	1	yes	characteristic
475	C₃×#103	C₂³	1	1	yes	characteristic
476	C₃×#103	C₂³	1	1	yes	characteristic
477	C₃×#103	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×C₄×C₈	C₂³	1	1	yes	characteristic
507	C₃×C₄×C₈	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	#555	—	2	1	no	—
513	#553	—	2	1	no	—
514	#553	—	2	1	no	—
515	#553	—	2	1	no	—
516	#553	—	2	1	no	—
517	#553	C₂²×C₃	1	1	yes	characteristic
518	#553	C₂²×C₃	1	1	yes	characteristic
519	#553	C₂²×C₃	1	1	yes	characteristic
520	#553	C₂²×C₃	1	1	yes	characteristic
521	#553	C₂²×C₃	1	1	yes	characteristic, complemented
522	#553	C₂²×C₃	1	1	yes	characteristic, complemented
523	#552	C₂²×C₃	1	1	yes	characteristic
524	#552	C₂²×C₃	1	1	yes	characteristic
525	#552	C₂²×C₃	1	1	yes	characteristic
526	#552	C₂²×C₃	1	1	yes	characteristic
527	#552	C₂²×C₃	1	1	yes	characteristic, complemented
528	#552	C₂²×C₃	1	1	yes	characteristic, complemented
529	#551	—	2	1	no	—
530	#548	C₂²×C₃	1	1	yes	characteristic
531	#548	C₂²×C₃	1	1	yes	characteristic
532	#546	C₂²×C₃	1	1	yes	characteristic
533	#546	C₂²×C₃	1	1	yes	characteristic
534	#541	—	2	1	no	—
535	#540	—	2	1	no	—
536	#540	—	2	1	no	—
537	#540	—	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	#537	C₂²×C₃	1	1	yes	characteristic
543	#537	C₂²×C₃	1	1	yes	characteristic, complemented
544	#536	C₂²×C₃	1	1	yes	characteristic
545	#535	C₂²×C₃	1	1	yes	characteristic
546	#532	C₂²×C₃	1	1	yes	characteristic
547	#529	—	2	1	no	—
548	#529	—	2	1	no	—
549	#529	C₂²×C₃	1	1	yes	characteristic
550	#529	C₂²×C₃	1	1	yes	characteristic
551	C₂×#125	C₂²×C₃	1	1	yes	characteristic, complemented
552	#520	C₂²×C₃	1	1	yes	characteristic
553	#520	C₂²×C₃	1	1	yes	characteristic, complemented
554	C₄×#41	C₂²×C₃	1	1	yes	characteristic, complemented
555	#499	C₂²×C₃	1	1	yes	characteristic, complemented
556	#499	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	#488	C₂²×C₃	1	1	yes	characteristic
560	#488	C₂²×C₃	1	1	yes	characteristic
561	#488	C₂²×C₃	1	1	yes	characteristic
562	#488	C₂²×C₃	1	1	yes	characteristic
563	#485	C₂²×C₃	1	1	yes	characteristic
564	#485	C₂²×C₃	1	1	yes	characteristic
565	#485	C₂²×C₃	1	1	yes	characteristic
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
572	#484	C₂²×C₃	1	1	yes	characteristic, complemented
573	#484	C₂²×C₃	1	1	yes	characteristic, complemented
574	#484	C₂²×C₃	1	1	yes	characteristic, complemented
575	#484	C₂²×C₃	1	1	yes	characteristic, complemented
576	#483	C₂²×C₃	1	1	yes	characteristic
577	#483	C₂²×C₃	1	1	yes	characteristic, complemented
578	#483	C₂²×C₃	1	1	yes	characteristic, complemented
579	#483	C₂²×C₃	1	1	yes	characteristic, complemented
580	#483	C₂²×C₃	1	1	yes	characteristic, complemented
581	#482	C₂²×C₃	1	1	yes	characteristic
582	#482	C₂²×C₃	1	1	yes	characteristic
583	#482	C₂²×C₃	1	1	yes	characteristic
584	#482	C₂²×C₃	1	1	yes	characteristic
585	#482	C₂²×C₃	1	1	yes	characteristic
586	#482	C₂²×C₃	1	1	yes	characteristic
587	#482	C₂²×C₃	1	1	yes	characteristic
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
591	#481	C₂²×C₃	1	1	yes	characteristic
592	#481	C₂²×C₃	1	1	yes	characteristic
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
596	#480	C₂²×C₃	1	1	yes	characteristic
597	#480	C₂²×C₃	1	1	yes	characteristic
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	#479	C₂²×C₃	1	1	yes	characteristic, complemented
602	#479	C₂²×C₃	1	1	yes	characteristic, complemented
603	#479	C₂²×C₃	1	1	yes	characteristic, complemented
604	#479	C₂²×C₃	1	1	yes	characteristic, complemented
605	#478	C₂²×C₃	1	1	yes	characteristic
606	#478	C₂²×C₃	1	1	yes	characteristic
607	#478	C₂²×C₃	1	1	yes	characteristic
608	#478	C₂²×C₃	1	1	yes	characteristic
609	#478	C₂²×C₃	1	1	yes	characteristic, complemented
610	#478	C₂²×C₃	1	1	yes	characteristic, complemented
611	#470	C₂²×C₃	1	1	yes	characteristic
612	#470	C₂²×C₃	1	1	yes	characteristic, complemented
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
618	#468	C₂²×C₃	1	1	yes	characteristic, complemented
619	#467	C₂²×C₃	1	1	yes	characteristic
620	#467	C₂²×C₃	1	1	yes	characteristic, complemented
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
626	#465	C₂²×C₃	1	1	yes	characteristic, complemented
627	#464	C₂²×C₃	1	1	yes	characteristic
628	#464	C₂²×C₃	1	1	yes	characteristic
629	#463	C₂²×C₃	1	1	yes	characteristic
630	#463	C₂²×C₃	1	1	yes	characteristic
631	#452	C₂²×C₃	1	1	yes	characteristic
632	#452	C₂²×C₃	1	1	yes	characteristic
633	#452	C₂²×C₃	1	1	yes	characteristic, complemented
634	#452	C₂²×C₃	1	1	yes	characteristic, complemented
635	#451	C₂²×C₃	1	1	yes	characteristic, complemented
636	#450	C₂²×C₃	1	1	yes	characteristic
637	#449	C₂²×C₃	1	1	yes	characteristic
638	#449	C₂²×C₃	1	1	yes	characteristic
639	#449	C₂²×C₃	1	1	yes	characteristic
640	#449	C₂²×C₃	1	1	yes	characteristic
641	#448	C₂²×C₃	1	1	yes	characteristic, complemented
642	#447	C₂²×C₃	1	1	yes	characteristic
643	C₄×Q₁₆	C₂²×C₃	1	1	yes	characteristic, complemented
644	C₄×Q₁₆	C₂²×C₃	1	1	yes	characteristic, complemented
645	C₄×SD₁₆	C₂²×C₃	1	1	yes	characteristic
646	C₄×SD₁₆	C₂²×C₃	1	1	yes	characteristic
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
652	#436	C₂²×C₃	1	1	yes	characteristic
653	#436	C₂²×C₃	1	1	yes	characteristic, complemented
654	#436	C₂²×C₃	1	1	yes	characteristic, complemented
655	C₈×D₄	C₂²×C₃	1	1	yes	characteristic
656	C₈×D₄	C₂²×C₃	1	1	yes	characteristic
657	C₈×D₄	C₂²×C₃	1	1	yes	characteristic, complemented
658	C₈×D₄	C₂²×C₃	1	1	yes	characteristic, complemented
659	#431	C₂²×C₃	1	1	yes	characteristic, complemented
660	#431	C₂²×C₃	1	1	yes	characteristic, complemented
661	#428	C₂²×C₃	1	1	yes	characteristic
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
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
671	#417	C₂²×C₃	1	1	yes	characteristic
672	#417	C₂²×C₃	1	1	yes	characteristic
673	#416	C₂²×C₃	1	1	yes	characteristic
674	#416	C₂²×C₃	1	1	yes	characteristic
675	C₂×#103	C₂²×C₃	1	1	yes	characteristic, complemented
676	C₂×#102	C₂²×C₃	1	1	yes	characteristic
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	C₃×#41	—	4	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	—	4	1	no	—
692	C₂×C₃×Q₈	—	2	1	no	—
693	C₂×C₃×Q₈	—	4	1	no	—
694	C₂×C₃×Q₈	—	4	1	no	—
695	C₂×C₃×Q₈	C₂×D₄	1	1	yes	characteristic
696	C₂×C₃×Q₈	C₂×D₄	1	1	yes	characteristic
697	C₂×C₃×Q₈	C₂⁴	1	1	yes	characteristic
698	C₂×C₃×Q₈	C₂⁴	1	1	yes	characteristic
699	C₂×C₃×Q₈	C₂⁴	1	1	yes	characteristic
700	C₂×C₃×D₄	—	2	1	no	—
701	C₂×C₃×D₄	—	2	1	no	—
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	—	4	1	no	—
715	C₂×C₃×D₄	—	4	1	no	—
716	C₂×C₃×D₄	C₂×D₄	1	1	yes	characteristic
717	C₂×C₃×D₄	C₂×D₄	1	1	yes	characteristic
718	C₂×C₃×D₄	C₂×D₄	1	1	yes	characteristic
719	C₂×C₃×D₄	C₂×D₄	1	1	yes	characteristic
720	C₂×C₃×D₄	C₂×D₄	1	1	yes	characteristic
721	C₂×C₃×D₄	C₂×D₄	1	1	yes	characteristic
722	C₂×C₃×D₄	C₂×D₄	1	1	yes	characteristic
723	C₂×C₃×D₄	C₂×D₄	1	1	yes	characteristic
724	C₂×C₃×D₄	C₂×D₄	1	1	yes	characteristic
725	C₂×C₃×D₄	C₂×D₄	1	1	yes	characteristic
726	C₂×C₃×D₄	C₂⁴	1	1	yes	characteristic
727	C₂×C₃×D₄	C₂⁴	1	1	yes	characteristic
728	C₂×C₃×D₄	C₂⁴	1	1	yes	characteristic
729	C₂²×C₃×C₄	—	2	1	no	—
730	C₂²×C₃×C₄	—	2	1	no	—
731	C₂²×C₃×C₄	—	2	1	no	—
732	C₂²×C₃×C₄	—	2	1	no	—
733	C₂²×C₃×C₄	—	2	1	no	—
734	C₂²×C₃×C₄	—	2	1	no	—
735	C₂²×C₃×C₄	—	2	1	no	—
736	C₂²×C₃×C₄	—	2	1	no	—
737	C₂²×C₃×C₄	—	2	1	no	—
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	C₂×D₄	1	1	yes	characteristic
746	C₂²×C₃×C₄	C₂×D₄	1	1	yes	characteristic
747	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
748	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
749	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
750	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
751	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
752	C₃×Q₁₆	—	4	1	no	—
753	C₃×Q₁₆	—	4	1	no	—
754	C₃×SD₁₆	—	4	1	no	—
755	C₃×SD₁₆	—	4	1	no	—
756	C₃×SD₁₆	—	4	1	no	—
757	C₃×SD₁₆	—	4	1	no	—
758	C₃×D₈	—	4	1	no	—
759	C₃×D₈	—	4	1	no	—
760	C₃×M₁₆	—	4	1	no	—
761	C₃×M₁₆	—	4	1	no	—
762	C₃×M₁₆	—	4	1	no	—
763	C₃×M₁₆	—	4	1	no	—
764	C₂×C₃×C₈	—	4	1	no	—
765	C₂×C₃×C₈	—	4	1	no	—
766	C₂×C₃×C₈	—	4	1	no	—
767	C₂×C₃×C₈	—	4	1	no	—
768	C₂×C₃×C₈	C₂⁴	1	1	yes	characteristic
769	C₂×C₃×C₈	C₂⁴	1	1	yes	characteristic
770	C₂×C₃×C₈	C₂⁴	1	1	yes	characteristic
771	C₂×C₃×C₈	C₂⁴	1	1	yes	characteristic
772	C₂×C₃×C₈	C₂⁴	1	1	yes	characteristic
773	C₂×C₃×C₈	C₂⁴	1	1	yes	characteristic
774	C₂×C₃×C₈	C₂⁴	1	1	yes	characteristic
775	C₂×C₃×C₈	C₂⁴	1	1	yes	characteristic
776	C₃×C₄⋊C₄	—	2	1	no	—
777	C₃×C₄⋊C₄	—	2	1	no	—
778	C₃×C₄⋊C₄	—	2	1	no	—
779	C₃×C₄⋊C₄	—	2	1	no	—
780	C₃×C₄⋊C₄	—	2	1	no	—
781	C₃×C₄⋊C₄	—	2	1	no	—
782	C₃×C₄⋊C₄	—	2	1	no	—
783	C₃×C₄⋊C₄	—	2	1	no	—
784	C₃×C₄⋊C₄	—	2	1	no	—
785	C₃×C₄⋊C₄	—	2	1	no	—
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	C₂×D₄	1	1	yes	characteristic
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	C₂⁴	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×C₂²⋊C₄	—	2	1	no	—
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	C₂×D₄	1	1	yes	characteristic
860	C₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
861	C₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
862	C₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
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×C₄²	—	2	1	no	—
868	C₃×C₄²	—	2	1	no	—
869	C₃×C₄²	—	2	1	no	—
870	C₃×C₄²	—	2	1	no	—
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	C₂×D₄	1	1	yes	characteristic
879	C₃×C₄²	C₂×D₄	1	1	yes	characteristic
880	C₃×C₄²	C₂⁴	1	1	yes	characteristic
881	C₃×C₄²	C₂⁴	1	1	yes	characteristic
882	C₂×#41	C₂³×C₃	1	1	yes	characteristic
883	C₂×#41	C₂³×C₃	1	1	yes	characteristic
884	C₂×#41	C₂³×C₃	1	1	yes	characteristic
885	C₂×#41	C₂³×C₃	1	1	yes	characteristic
886	C₂×#41	C₂³×C₃	1	1	yes	characteristic
887	C₂²×Q₈	C₂³×C₃	1	1	yes	characteristic
888	C₂²×D₄	C₂³×C₃	1	1	yes	characteristic
889	C₂×Q₁₆	C₂³×C₃	1	1	yes	characteristic
890	C₂×Q₁₆	C₂³×C₃	1	1	yes	characteristic
891	C₂×SD₁₆	C₂³×C₃	1	1	yes	characteristic
892	C₂×SD₁₆	C₂³×C₃	1	1	yes	characteristic
893	C₂×SD₁₆	C₂³×C₃	1	1	yes	characteristic
894	C₂×SD₁₆	C₂³×C₃	1	1	yes	characteristic
895	C₂×D₈	C₂³×C₃	1	1	yes	characteristic
896	C₂×D₈	C₂³×C₃	1	1	yes	characteristic
897	C₂×M₁₆	C₂³×C₃	1	1	yes	characteristic
898	C₂×M₁₆	C₂³×C₃	1	1	yes	characteristic
899	C₂×M₁₆	C₂³×C₃	1	1	yes	characteristic
900	C₂×M₁₆	C₂³×C₃	1	1	yes	characteristic
901	C₂²×C₈	C₂³×C₃	1	1	yes	characteristic
902	C₂²×C₈	C₂³×C₃	1	1	yes	characteristic
903	C₂²×C₈	C₂³×C₃	1	1	yes	characteristic
904	C₂²×C₈	C₂³×C₃	1	1	yes	characteristic
905	C₄⋊Q₈	—	2	1	no	—
906	C₄⋊Q₈	C₃×D₄	1	1	yes	characteristic
907	#127	—	2	1	no	—
908	#127	C₃×D₄	1	1	yes	characteristic
909	#126	—	2	1	no	—
910	#126	—	2	1	no	—
911	#126	—	2	1	no	—
912	#126	—	2	1	no	—
913	#126	—	2	1	no	—
914	#126	—	2	1	no	—
915	#126	—	2	1	no	—
916	#126	—	2	1	no	—
917	#126	—	2	1	no	—
918	#126	—	2	1	no	—
919	#126	—	2	1	no	—
920	#126	—	2	1	no	—
921	#126	—	2	1	no	—
922	#126	—	2	1	no	—
923	#125	—	2	1	no	—
924	#125	—	2	1	no	—
925	#125	—	2	1	no	—
926	#125	—	2	1	no	—
927	#125	—	2	1	no	—
928	#125	—	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	#125	C₂³×C₃	1	1	yes	characteristic
936	#125	C₂³×C₃	1	1	yes	characteristic
937	#124	—	2	1	no	—
938	#124	—	2	1	no	—
939	#124	—	2	1	no	—
940	#124	—	2	1	no	—
941	#124	C₃×D₄	1	1	yes	characteristic
942	#124	C₃×D₄	1	1	yes	characteristic
943	#124	C₂³×C₃	1	1	yes	characteristic
944	#124	C₂³×C₃	1	1	yes	characteristic
945	#123	—	2	1	no	—
946	#123	—	2	1	no	—
947	#123	—	2	1	no	—
948	#123	—	2	1	no	—
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	C₂²⋊Q₈	—	2	1	no	—
964	C₂²⋊Q₈	—	2	1	no	—
965	C₂²⋊Q₈	—	2	1	no	—
966	C₂²⋊Q₈	—	2	1	no	—
967	C₂²⋊Q₈	—	2	1	no	—
968	C₂²⋊Q₈	—	2	1	no	—
969	C₂²⋊Q₈	C₂³×C₃	1	1	yes	characteristic
970	C₂²⋊Q₈	C₂³×C₃	1	1	yes	characteristic
971	C₂²⋊Q₈	C₂³×C₃	1	1	yes	characteristic
972	C₂²⋊Q₈	C₂³×C₃	1	1	yes	characteristic
973	C₂²⋊Q₈	C₂³×C₃	1	1	yes	characteristic
974	C₂²⋊Q₈	C₂³×C₃	1	1	yes	characteristic
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	#121	—	2	1	no	—
980	#121	—	2	1	no	—
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	—	2	1	no	—
1000	#121	—	2	1	no	—
1001	#121	C₃×D₄	1	1	yes	characteristic
1002	#121	C₃×D₄	1	1	yes	characteristic
1003	#121	C₃×D₄	1	1	yes	characteristic
1004	#121	C₃×D₄	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	#120	—	2	1	no	—
1016	#120	—	2	1	no	—
1017	#120	—	2	1	no	—
1018	#120	—	2	1	no	—
1019	C₄×Q₈	—	2	1	no	—
1020	C₄×Q₈	—	2	1	no	—
1021	C₄×Q₈	C₂³×C₃	1	1	yes	characteristic
1022	C₄×Q₈	C₂³×C₃	1	1	yes	characteristic
1023	C₄×Q₈	C₂³×C₃	1	1	yes	characteristic
1024	C₄×Q₈	C₂³×C₃	1	1	yes	characteristic
1025	C₄×D₄	—	2	1	no	—
1026	C₄×D₄	—	2	1	no	—
1027	C₄×D₄	—	2	1	no	—
1028	C₄×D₄	—	2	1	no	—
1029	C₄×D₄	—	2	1	no	—
1030	C₄×D₄	—	2	1	no	—
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	C₂³×C₃	1	1	yes	characteristic
1044	C₄×D₄	C₂³×C₃	1	1	yes	characteristic
1045	C₄×D₄	C₂³×C₃	1	1	yes	characteristic
1046	C₄×D₄	C₂³×C₃	1	1	yes	characteristic
1047	C₄×D₄	C₂³×C₃	1	1	yes	characteristic
1048	C₄×D₄	C₂³×C₃	1	1	yes	characteristic
1049	C₄×D₄	C₂³×C₃	1	1	yes	characteristic
1050	C₄×D₄	C₂³×C₃	1	1	yes	characteristic
1051	#117	—	2	1	no	—
1052	#117	—	2	1	no	—
1053	#117	—	2	1	no	—
1054	#117	—	2	1	no	—
1055	#117	—	2	1	no	—
1056	#117	—	2	1	no	—
1057	#117	—	2	1	no	—
1058	#117	—	2	1	no	—
1059	#117	—	2	1	no	—
1060	#117	C₂³×C₃	1	1	yes	characteristic
1061	#117	C₂³×C₃	1	1	yes	characteristic
1062	#117	C₂³×C₃	1	1	yes	characteristic
1063	#117	C₂³×C₃	1	1	yes	characteristic
1064	#117	C₂³×C₃	1	1	yes	characteristic
1065	#117	C₂³×C₃	1	1	yes	characteristic
1066	#117	C₂³×C₃	1	1	yes	characteristic
1067	C₂×C₄⋊C₄	—	2	1	no	—
1068	C₂×C₄⋊C₄	—	2	1	no	—
1069	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
1070	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
1071	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
1072	C₂×C₄⋊C₄	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×C₂²⋊C₄	—	2	1	no	—
1078	C₂×C₂²⋊C₄	—	2	1	no	—
1079	C₂×C₄²	—	2	1	no	—
1080	C₂×C₄²	C₂³×C₃	1	1	yes	characteristic
1081	#107	C₂³×C₃	1	1	yes	characteristic
1082	#107	C₂³×C₃	1	1	yes	characteristic
1083	#107	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	#106	C₂³×C₃	1	1	yes	characteristic
1094	#106	C₂³×C₃	1	1	yes	characteristic
1095	#106	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	C₄⋊C₈	C₂³×C₃	1	1	yes	characteristic
1106	C₄⋊C₈	C₂³×C₃	1	1	yes	characteristic
1107	C₄⋊C₈	C₂³×C₃	1	1	yes	characteristic
1108	C₄⋊C₈	C₂³×C₃	1	1	yes	characteristic
1109	#103	C₂³×C₃	1	1	yes	characteristic
1110	#103	C₂³×C₃	1	1	yes	characteristic
1111	#103	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	#103	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	C₂²⋊C₈	C₂³×C₃	1	1	yes	characteristic
1142	C₂²⋊C₈	C₂³×C₃	1	1	yes	characteristic
1143	C₂²⋊C₈	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	C₄×C₈	C₂³×C₃	1	1	yes	characteristic
1154	C₄×C₈	C₂³×C₃	1	1	yes	characteristic
1155	C₄×C₈	C₂³×C₃	1	1	yes	characteristic
1156	C₄×C₈	C₂³×C₃	1	1	yes	characteristic
1157	C₂³×C₃	—	2	1	no	—
1158	C₂³×C₃	—	2	1	no	—
1159	C₂³×C₃	—	2	1	no	—
1160	C₂³×C₃	—	8	1	no	—
1161	C₂³×C₃	—	8	1	no	—
1162	C₂³×C₃	—	8	1	no	—
1163	C₂³×C₃	C₂²×D₄	1	1	yes	characteristic
1164	C₂³×C₃	C₂²×D₄	1	1	yes	characteristic
1165	C₂³×C₃	C₂²×D₄	1	1	yes	characteristic
1166	C₂³×C₃	C₂²×D₄	1	1	yes	characteristic
1167	C₂³×C₃	C₂²×D₄	1	1	yes	characteristic
1168	C₃×Q₈	—	2	1	no	—
1169	C₃×Q₈	—	2	1	no	—
1170	C₃×Q₈	—	2	1	no	—
1171	C₃×Q₈	—	2	1	no	—
1172	C₃×Q₈	—	2	1	no	—
1173	C₃×Q₈	—	2	1	no	—
1174	C₃×Q₈	—	4	1	no	—
1175	C₃×Q₈	—	4	1	no	—
1176	C₃×Q₈	—	8	1	no	—
1177	C₃×D₄	—	2	1	no	—
1178	C₃×D₄	—	2	1	no	—
1179	C₃×D₄	—	2	1	no	—
1180	C₃×D₄	—	2	1	no	—
1181	C₃×D₄	—	2	1	no	—
1182	C₃×D₄	—	2	1	no	—
1183	C₃×D₄	—	4	1	no	—
1184	C₃×D₄	—	4	1	no	—
1185	C₃×D₄	—	4	1	no	—
1186	C₃×D₄	—	4	1	no	—
1187	C₃×D₄	—	4	1	no	—
1188	C₃×D₄	—	4	1	no	—
1189	C₃×D₄	—	4	1	no	—
1190	C₃×D₄	—	4	1	no	—
1191	C₃×D₄	—	4	1	no	—
1192	C₃×D₄	—	4	1	no	—
1193	C₃×D₄	—	4	2	no	—
1194	C₃×D₄	—	8	1	no	—
1195	C₃×D₄	—	8	1	no	—
1196	C₃×D₄	—	8	1	no	—
1197	C₃×D₄	—	8	1	no	—
1198	C₃×D₄	—	8	1	no	—
1199	C₃×D₄	—	8	1	no	—
1200	C₃×D₄	—	8	1	no	—
1201	C₃×D₄	—	8	1	no	—
1202	C₃×D₄	—	8	1	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	C₂×C₃×C₄	—	2	1	no	—
1208	C₂×C₃×C₄	—	2	1	no	—
1209	C₂×C₃×C₄	—	2	1	no	—
1210	C₂×C₃×C₄	—	2	1	no	—
1211	C₂×C₃×C₄	—	2	1	no	—
1212	C₂×C₃×C₄	—	2	1	no	—
1213	C₂×C₃×C₄	—	2	1	no	—
1214	C₂×C₃×C₄	—	2	1	no	—
1215	C₂×C₃×C₄	—	2	1	no	—
1216	C₂×C₃×C₄	—	2	1	no	—
1217	C₂×C₃×C₄	—	2	1	no	—
1218	C₂×C₃×C₄	—	2	1	no	—
1219	C₂×C₃×C₄	—	2	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	—	4	1	no	—
1231	C₂×C₃×C₄	—	4	1	no	—
1232	C₂×C₃×C₄	—	4	2	no	—
1233	C₂×C₃×C₄	—	8	1	no	—
1234	C₂×C₃×C₄	—	8	1	no	—
1235	C₂×C₃×C₄	—	8	1	no	—
1236	C₂×C₃×C₄	—	8	1	no	—
1237	C₂×C₃×C₄	—	8	1	no	—
1238	C₂×C₃×C₄	—	8	1	no	—
1239	C₂×C₃×C₄	—	8	1	no	—
1240	C₂×C₃×C₄	—	8	1	no	—
1241	C₂×C₃×C₄	—	8	1	no	—
1242	C₂×C₃×C₄	—	8	1	no	—
1243	C₂×C₃×C₄	—	8	1	no	—
1244	C₂×C₃×C₄	—	8	1	no	—
1245	C₂×C₃×C₄	—	8	1	no	—
1246	C₂×C₃×C₄	—	8	1	no	—
1247	C₂×C₃×C₄	—	8	1	no	—
1248	C₂×C₃×C₄	C₂²×D₄	1	1	yes	characteristic
1249	C₂×C₃×C₄	C₂²×D₄	1	1	yes	characteristic
1250	C₂×C₃×C₄	C₂²×D₄	1	1	yes	characteristic
1251	C₂×C₃×C₄	C₂²×D₄	1	1	yes	characteristic
1252	C₂×C₃×C₄	C₂²×D₄	1	1	yes	characteristic
1253	C₂×C₃×C₄	C₂²×D₄	1	1	yes	characteristic
1254	C₂×C₃×C₄	C₂²×D₄	1	1	yes	characteristic
1255	C₂×C₃×C₄	C₂²×D₄	1	1	yes	characteristic
1256	C₂×C₃×C₄	C₂²×D₄	1	1	yes	characteristic
1257	C₂×C₃×C₄	C₂⁵	1	1	yes	characteristic
1258	C₃×C₈	—	2	1	no	—
1259	C₃×C₈	—	2	1	no	—
1260	C₃×C₈	—	2	1	no	—
1261	C₃×C₈	—	2	1	no	—
1262	C₃×C₈	—	2	1	no	—
1263	C₃×C₈	—	2	1	no	—
1264	C₃×C₈	—	2	1	no	—
1265	C₃×C₈	—	2	1	no	—
1266	C₂⁴	—	2	1	no	—
1267	#41	—	4	1	no	—
1268	#41	—	4	1	no	—
1269	#41	—	4	1	no	—
1270	#41	—	4	1	no	—
1271	#41	—	4	1	no	—
1272	#41	—	4	1	no	—
1273	#41	—	4	1	no	—
1274	#41	—	4	1	no	—
1275	#41	—	4	1	no	—
1276	#41	—	4	1	no	—
1277	C₂×Q₈	—	2	1	no	—
1278	C₂×Q₈	—	4	1	no	—
1279	C₂×Q₈	—	4	1	no	—
1280	C₂×Q₈	C₂×C₃×D₄	1	1	yes	characteristic
1281	C₂×Q₈	C₂×C₃×D₄	1	1	yes	characteristic
1282	C₂×Q₈	C₂⁴×C₃	1	1	yes	characteristic
1283	C₂×Q₈	C₂⁴×C₃	1	1	yes	characteristic
1284	C₂×Q₈	C₂⁴×C₃	1	1	yes	characteristic
1285	C₂×D₄	—	2	1	no	—
1286	C₂×D₄	—	2	1	no	—
1287	C₂×D₄	—	2	1	no	—
1288	C₂×D₄	—	2	1	no	—
1289	C₂×D₄	—	2	1	no	—
1290	C₂×D₄	—	2	1	no	—
1291	C₂×D₄	—	2	1	no	—
1292	C₂×D₄	—	2	1	no	—
1293	C₂×D₄	—	2	1	no	—
1294	C₂×D₄	—	2	1	no	—
1295	C₂×D₄	—	2	1	no	—
1296	C₂×D₄	—	2	1	no	—
1297	C₂×D₄	—	2	1	no	—
1298	C₂×D₄	—	2	1	no	—
1299	C₂×D₄	—	4	1	no	—
1300	C₂×D₄	—	4	1	no	—
1301	C₂×D₄	C₂×C₃×D₄	1	1	yes	characteristic
1302	C₂×D₄	C₂×C₃×D₄	1	1	yes	characteristic
1303	C₂×D₄	C₂×C₃×D₄	1	1	yes	characteristic
1304	C₂×D₄	C₂×C₃×D₄	1	1	yes	characteristic
1305	C₂×D₄	C₂×C₃×D₄	1	1	yes	characteristic
1306	C₂×D₄	C₂×C₃×D₄	1	1	yes	characteristic
1307	C₂×D₄	C₂×C₃×D₄	1	1	yes	characteristic
1308	C₂×D₄	C₂×C₃×D₄	1	1	yes	characteristic
1309	C₂×D₄	C₂×C₃×D₄	1	1	yes	characteristic
1310	C₂×D₄	C₂×C₃×D₄	1	1	yes	characteristic
1311	C₂×D₄	C₂⁴×C₃	1	1	yes	characteristic
1312	C₂×D₄	C₂⁴×C₃	1	1	yes	characteristic
1313	C₂×D₄	C₂⁴×C₃	1	1	yes	characteristic
1314	C₂²×C₄	—	2	1	no	—
1315	C₂²×C₄	—	2	1	no	—
1316	C₂²×C₄	—	2	1	no	—
1317	C₂²×C₄	—	2	1	no	—
1318	C₂²×C₄	—	2	1	no	—
1319	C₂²×C₄	—	2	1	no	—
1320	C₂²×C₄	—	2	1	no	—
1321	C₂²×C₄	—	2	1	no	—
1322	C₂²×C₄	—	2	1	no	—
1323	C₂²×C₄	—	2	1	no	—
1324	C₂²×C₄	—	2	1	no	—
1325	C₂²×C₄	—	2	1	no	—
1326	C₂²×C₄	—	2	1	no	—
1327	C₂²×C₄	—	2	1	no	—
1328	C₂²×C₄	—	2	1	no	—
1329	C₂²×C₄	—	2	1	no	—
1330	C₂²×C₄	C₂×C₃×D₄	1	1	yes	characteristic
1331	C₂²×C₄	C₂×C₃×D₄	1	1	yes	characteristic
1332	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
1333	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
1334	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
1335	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
1336	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
1337	Q₁₆	—	4	1	no	—
1338	Q₁₆	—	4	1	no	—
1339	SD₁₆	—	4	1	no	—
1340	SD₁₆	—	4	1	no	—
1341	SD₁₆	—	4	1	no	—
1342	SD₁₆	—	4	1	no	—
1343	D₈	—	4	1	no	—
1344	D₈	—	4	1	no	—
1345	M₁₆	—	4	1	no	—
1346	M₁₆	—	4	1	no	—
1347	M₁₆	—	4	1	no	—
1348	M₁₆	—	4	1	no	—
1349	C₂×C₈	—	4	1	no	—
1350	C₂×C₈	—	4	1	no	—
1351	C₂×C₈	—	4	1	no	—
1352	C₂×C₈	—	4	1	no	—
1353	C₂×C₈	C₂⁴×C₃	1	1	yes	characteristic
1354	C₂×C₈	C₂⁴×C₃	1	1	yes	characteristic
1355	C₂×C₈	C₂⁴×C₃	1	1	yes	characteristic
1356	C₂×C₈	C₂⁴×C₃	1	1	yes	characteristic
1357	C₂×C₈	C₂⁴×C₃	1	1	yes	characteristic
1358	C₂×C₈	C₂⁴×C₃	1	1	yes	characteristic
1359	C₂×C₈	C₂⁴×C₃	1	1	yes	characteristic
1360	C₂×C₈	C₂⁴×C₃	1	1	yes	characteristic
1361	C₄⋊C₄	—	2	1	no	—
1362	C₄⋊C₄	—	2	1	no	—
1363	C₄⋊C₄	—	2	1	no	—
1364	C₄⋊C₄	—	2	1	no	—
1365	C₄⋊C₄	—	2	1	no	—
1366	C₄⋊C₄	—	2	1	no	—
1367	C₄⋊C₄	—	2	1	no	—
1368	C₄⋊C₄	—	2	1	no	—
1369	C₄⋊C₄	—	2	1	no	—
1370	C₄⋊C₄	—	2	1	no	—
1371	C₄⋊C₄	—	2	1	no	—
1372	C₄⋊C₄	—	2	1	no	—
1373	C₄⋊C₄	—	2	1	no	—
1374	C₄⋊C₄	—	2	1	no	—
1375	C₄⋊C₄	—	2	1	no	—
1376	C₄⋊C₄	—	2	1	no	—
1377	C₄⋊C₄	—	2	1	no	—
1378	C₄⋊C₄	—	2	1	no	—
1379	C₄⋊C₄	—	2	1	no	—
1380	C₄⋊C₄	—	2	1	no	—
1381	C₄⋊C₄	—	2	1	no	—
1382	C₄⋊C₄	—	2	1	no	—
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	C₂×C₃×D₄	1	1	yes	characteristic
1396	C₄⋊C₄	C₂×C₃×D₄	1	1	yes	characteristic
1397	C₄⋊C₄	C₂×C₃×D₄	1	1	yes	characteristic
1398	C₄⋊C₄	C₂×C₃×D₄	1	1	yes	characteristic
1399	C₄⋊C₄	C₂⁴×C₃	1	1	yes	characteristic
1400	C₄⋊C₄	C₂⁴×C₃	1	1	yes	characteristic
1401	C₄⋊C₄	C₂⁴×C₃	1	1	yes	characteristic
1402	C₄⋊C₄	C₂⁴×C₃	1	1	yes	characteristic
1403	C₄⋊C₄	C₂⁴×C₃	1	1	yes	characteristic
1404	C₄⋊C₄	C₂⁴×C₃	1	1	yes	characteristic
1405	C₄⋊C₄	C₂⁴×C₃	1	1	yes	characteristic
1406	C₄⋊C₄	C₂⁴×C₃	1	1	yes	characteristic
1407	C₄⋊C₄	C₂⁴×C₃	1	1	yes	characteristic
1408	C₄⋊C₄	C₂⁴×C₃	1	1	yes	characteristic
1409	C₂²⋊C₄	—	2	1	no	—
1410	C₂²⋊C₄	—	2	1	no	—
1411	C₂²⋊C₄	—	2	1	no	—
1412	C₂²⋊C₄	—	2	1	no	—
1413	C₂²⋊C₄	—	2	1	no	—
1414	C₂²⋊C₄	—	2	1	no	—
1415	C₂²⋊C₄	—	2	1	no	—
1416	C₂²⋊C₄	—	2	1	no	—
1417	C₂²⋊C₄	—	2	1	no	—
1418	C₂²⋊C₄	—	2	1	no	—
1419	C₂²⋊C₄	—	2	1	no	—
1420	C₂²⋊C₄	—	2	1	no	—
1421	C₂²⋊C₄	—	2	1	no	—
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	C₂×C₃×D₄	1	1	yes	characteristic
1445	C₂²⋊C₄	C₂×C₃×D₄	1	1	yes	characteristic
1446	C₂²⋊C₄	C₂×C₃×D₄	1	1	yes	characteristic
1447	C₂²⋊C₄	C₂×C₃×D₄	1	1	yes	characteristic
1448	C₂²⋊C₄	C₂×C₃×D₄	1	1	yes	characteristic
1449	C₂²⋊C₄	C₂×C₃×D₄	1	1	yes	characteristic
1450	C₂²⋊C₄	C₂×C₃×D₄	1	1	yes	characteristic
1451	C₂²⋊C₄	C₂×C₃×D₄	1	1	yes	characteristic
1452	C₄²	—	2	1	no	—
1453	C₄²	—	2	1	no	—
1454	C₄²	—	2	1	no	—
1455	C₄²	—	2	1	no	—
1456	C₄²	—	2	1	no	—
1457	C₄²	—	2	1	no	—
1458	C₄²	—	2	1	no	—
1459	C₄²	—	2	1	no	—
1460	C₄²	—	2	1	no	—
1461	C₄²	—	2	1	no	—
1462	C₄²	—	2	1	no	—
1463	C₄²	C₂×C₃×D₄	1	1	yes	characteristic
1464	C₄²	C₂×C₃×D₄	1	1	yes	characteristic
1465	C₄²	C₂⁴×C₃	1	1	yes	characteristic
1466	C₄²	C₂⁴×C₃	1	1	yes	characteristic
1467	C₂²×C₃	—	2	1	no	—
1468	C₂²×C₃	—	2	1	no	—
1469	C₂²×C₃	—	2	1	no	—
1470	C₂²×C₃	—	2	1	no	—
1471	C₂²×C₃	—	2	1	no	—
1472	C₂²×C₃	—	2	1	no	—
1473	C₂²×C₃	—	2	1	no	—
1474	C₂²×C₃	—	2	1	no	—
1475	C₂²×C₃	—	2	1	no	—
1476	C₂²×C₃	—	2	1	no	—
1477	C₂²×C₃	—	2	1	no	—
1478	C₂²×C₃	—	2	1	no	—
1479	C₂²×C₃	—	2	1	no	—
1480	C₂²×C₃	—	2	1	no	—
1481	C₂²×C₃	—	2	1	no	—
1482	C₂²×C₃	—	4	1	no	—
1483	C₂²×C₃	—	4	1	no	—
1484	C₂²×C₃	—	4	1	no	—
1485	C₂²×C₃	—	4	1	no	—
1486	C₂²×C₃	—	4	1	no	—
1487	C₂²×C₃	—	4	1	no	—
1488	C₂²×C₃	—	4	1	no	—
1489	C₂²×C₃	—	4	1	no	—
1490	C₂²×C₃	—	4	1	no	—
1491	C₂²×C₃	—	16	2	no	—
1492	C₂²×C₃	C₂³×D₄	1	1	yes	characteristic
1493	C₃×C₄	—	2	1	no	—
1494	C₃×C₄	—	2	1	no	—
1495	C₃×C₄	—	2	1	no	—
1496	C₃×C₄	—	2	1	no	—
1497	C₃×C₄	—	2	1	no	—
1498	C₃×C₄	—	2	1	no	—
1499	C₃×C₄	—	2	1	no	—
1500	C₃×C₄	—	2	1	no	—
1501	C₃×C₄	—	2	1	no	—
1502	C₃×C₄	—	4	1	no	—
1503	C₃×C₄	—	4	1	no	—
1504	C₃×C₄	—	4	1	no	—
1505	C₃×C₄	—	4	1	no	—
1506	C₃×C₄	—	4	1	no	—
1507	C₃×C₄	—	4	1	no	—
1508	C₃×C₄	—	4	1	no	—
1509	C₃×C₄	—	4	1	no	—
1510	C₃×C₄	—	4	1	no	—
1511	C₃×C₄	—	4	1	no	—
1512	C₃×C₄	—	4	1	no	—
1513	C₃×C₄	—	4	1	no	—
1514	C₃×C₄	—	4	1	no	—
1515	C₃×C₄	#585	1	1	yes	characteristic
1516	C₃×C₄	#585	1	1	yes	characteristic
1517	C₂³	—	2	1	no	—
1518	C₂³	—	2	1	no	—
1519	C₂³	—	2	1	no	—
1520	C₂³	—	8	1	no	—
1521	C₂³	—	8	1	no	—
1522	C₂³	—	8	1	no	—
1523	C₂³	C₂²×C₃×D₄	1	1	yes	characteristic
1524	C₂³	C₂²×C₃×D₄	1	1	yes	characteristic
1525	C₂³	C₂²×C₃×D₄	1	1	yes	characteristic
1526	C₂³	C₂²×C₃×D₄	1	1	yes	characteristic
1527	C₂³	C₂²×C₃×D₄	1	1	yes	characteristic
1528	Q₈	—	2	1	no	—
1529	Q₈	—	2	1	no	—
1530	Q₈	—	2	1	no	—
1531	Q₈	—	2	1	no	—
1532	Q₈	—	2	1	no	—
1533	Q₈	—	2	1	no	—
1534	Q₈	—	4	1	no	—
1535	Q₈	—	4	1	no	—
1536	Q₈	—	8	1	no	—
1537	D₄	—	2	1	no	—
1538	D₄	—	2	1	no	—
1539	D₄	—	2	1	no	—
1540	D₄	—	2	1	no	—
1541	D₄	—	2	1	no	—
1542	D₄	—	2	1	no	—
1543	D₄	—	4	1	no	—
1544	D₄	—	4	1	no	—
1545	D₄	—	4	1	no	—
1546	D₄	—	4	1	no	—
1547	D₄	—	4	1	no	—
1548	D₄	—	4	1	no	—
1549	D₄	—	4	1	no	—
1550	D₄	—	4	1	no	—
1551	D₄	—	4	1	no	—
1552	D₄	—	4	1	no	—
1553	D₄	—	4	2	no	—
1554	D₄	—	8	1	no	—
1555	D₄	—	8	1	no	—
1556	D₄	—	8	1	no	—
1557	D₄	—	8	1	no	—
1558	D₄	—	8	1	no	—
1559	D₄	—	8	1	no	—
1560	D₄	—	8	1	no	—
1561	D₄	—	8	1	no	—
1562	D₄	—	8	1	no	—
1563	D₄	—	8	1	no	—
1564	D₄	—	8	1	no	—
1565	D₄	—	8	1	no	—
1566	D₄	—	8	1	no	—
1567	C₂×C₄	—	2	1	no	—
1568	C₂×C₄	—	2	1	no	—
1569	C₂×C₄	—	2	1	no	—
1570	C₂×C₄	—	2	1	no	—
1571	C₂×C₄	—	2	1	no	—
1572	C₂×C₄	—	2	1	no	—
1573	C₂×C₄	—	2	1	no	—
1574	C₂×C₄	—	2	1	no	—
1575	C₂×C₄	—	2	1	no	—
1576	C₂×C₄	—	2	1	no	—
1577	C₂×C₄	—	2	1	no	—
1578	C₂×C₄	—	2	1	no	—
1579	C₂×C₄	—	2	1	no	—
1580	C₂×C₄	—	2	1	no	—
1581	C₂×C₄	—	2	1	no	—
1582	C₂×C₄	—	2	1	no	—
1583	C₂×C₄	—	2	1	no	—
1584	C₂×C₄	—	2	1	no	—
1585	C₂×C₄	—	2	1	no	—
1586	C₂×C₄	—	2	1	no	—
1587	C₂×C₄	—	2	1	no	—
1588	C₂×C₄	—	2	1	no	—
1589	C₂×C₄	—	2	1	no	—
1590	C₂×C₄	—	4	1	no	—
1591	C₂×C₄	—	4	1	no	—
1592	C₂×C₄	—	4	2	no	—
1593	C₂×C₄	—	8	1	no	—
1594	C₂×C₄	—	8	1	no	—
1595	C₂×C₄	—	8	1	no	—
1596	C₂×C₄	—	8	1	no	—
1597	C₂×C₄	—	8	1	no	—
1598	C₂×C₄	—	8	1	no	—
1599	C₂×C₄	—	8	1	no	—
1600	C₂×C₄	—	8	1	no	—
1601	C₂×C₄	—	8	1	no	—
1602	C₂×C₄	—	8	1	no	—
1603	C₂×C₄	—	8	1	no	—
1604	C₂×C₄	—	8	1	no	—
1605	C₂×C₄	—	8	1	no	—
1606	C₂×C₄	—	8	1	no	—
1607	C₂×C₄	—	8	1	no	—
1608	C₂×C₄	C₂²×C₃×D₄	1	1	yes	characteristic
1609	C₂×C₄	C₂²×C₃×D₄	1	1	yes	characteristic
1610	C₂×C₄	C₂²×C₃×D₄	1	1	yes	characteristic
1611	C₂×C₄	C₂²×C₃×D₄	1	1	yes	characteristic
1612	C₂×C₄	C₂²×C₃×D₄	1	1	yes	characteristic
1613	C₂×C₄	C₂²×C₃×D₄	1	1	yes	characteristic
1614	C₂×C₄	C₂²×C₃×D₄	1	1	yes	characteristic
1615	C₂×C₄	C₂²×C₃×D₄	1	1	yes	characteristic
1616	C₂×C₄	C₂²×C₃×D₄	1	1	yes	characteristic
1617	C₂×C₄	C₂⁵×C₃	1	1	yes	characteristic
1618	C₈	—	2	1	no	—
1619	C₈	—	2	1	no	—
1620	C₈	—	2	1	no	—
1621	C₈	—	2	1	no	—
1622	C₈	—	2	1	no	—
1623	C₈	—	2	1	no	—
1624	C₈	—	2	1	no	—
1625	C₈	—	2	1	no	—
1626	C₂×C₃	—	4	1	no	—
1627	C₂×C₃	—	4	1	no	—
1628	C₂×C₃	—	4	1	no	—
1629	C₂×C₃	—	4	1	no	—
1630	C₂×C₃	—	4	1	no	—
1631	C₂×C₃	—	8	1	no	—
1632	C₂×C₃	—	8	1	no	—
1633	C₂×C₃	—	8	1	no	—
1634	C₂×C₃	#3485	1	1	yes	characteristic
1635	C₂×C₃	#3584	1	1	yes	characteristic
1636	C₂×C₃	#3584	1	1	yes	characteristic
1637	C₂²	—	2	1	no	—
1638	C₂²	—	2	1	no	—
1639	C₂²	—	2	1	no	—
1640	C₂²	—	2	1	no	—
1641	C₂²	—	2	1	no	—
1642	C₂²	—	2	1	no	—
1643	C₂²	—	2	1	no	—
1644	C₂²	—	2	1	no	—
1645	C₂²	—	2	1	no	—
1646	C₂²	—	2	1	no	—
1647	C₂²	—	2	1	no	—
1648	C₂²	—	2	1	no	—
1649	C₂²	—	2	1	no	—
1650	C₂²	—	2	1	no	—
1651	C₂²	—	2	1	no	—
1652	C₂²	—	4	1	no	—
1653	C₂²	—	4	1	no	—
1654	C₂²	—	4	1	no	—
1655	C₂²	—	4	1	no	—
1656	C₂²	—	4	1	no	—
1657	C₂²	—	4	1	no	—
1658	C₂²	—	4	1	no	—
1659	C₂²	—	4	1	no	—
1660	C₂²	—	4	1	no	—
1661	C₂²	—	16	2	no	—
1662	C₂²	C₂³×C₃×D₄	1	1	yes	characteristic
1663	C₄	—	2	1	no	—
1664	C₄	—	2	1	no	—
1665	C₄	—	2	1	no	—
1666	C₄	—	2	1	no	—
1667	C₄	—	2	1	no	—
1668	C₄	—	2	1	no	—
1669	C₄	—	2	1	no	—
1670	C₄	—	2	1	no	—
1671	C₄	—	2	1	no	—
1672	C₄	—	4	1	no	—
1673	C₄	—	4	1	no	—
1674	C₄	—	4	1	no	—
1675	C₄	—	4	1	no	—
1676	C₄	—	4	1	no	—
1677	C₄	—	4	1	no	—
1678	C₄	—	4	1	no	—
1679	C₄	—	4	1	no	—
1680	C₄	—	4	1	no	—
1681	C₄	—	4	1	no	—
1682	C₄	—	4	1	no	—
1683	C₄	—	4	1	no	—
1684	C₄	—	4	1	no	—
1685	C₄	C₃×#585	1	1	yes	characteristic
1686	C₄	C₃×#585	1	1	yes	characteristic
1687	C₃	#61790	1	1	yes	characteristic, direct product factor, Sylow
1688	C₂	—	4	1	no	—
1689	C₂	—	4	1	no	—
1690	C₂	—	4	1	no	—
1691	C₂	—	4	1	no	—
1692	C₂	—	4	1	no	—
1693	C₂	—	8	1	no	—
1694	C₂	—	8	1	no	—
1695	C₂	—	8	1	no	—
1696	C₂	C₃×#3485	1	1	yes	characteristic
1697	C₂	C₃×#3584	1	1	yes	characteristic
1698	C₂	C₃×#3584	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×#3512	C₂	semidirect
3. C₃×#3355	C₂	semidirect
4. C₃×#3352	C₂	semidirect
5. C₃×#3351	C₂	semidirect
6. C₃×#3351	C₂	semidirect
7. C₃×#3339	C₂	semidirect
8. C₃×#3337	C₂	semidirect
9. C₃×#3337	C₂	semidirect
10. C₃×#3336	C₂	semidirect
11. C₃×#3327	C₂	semidirect
12. C₃×#3326	C₂	semidirect
13. C₃×#3323	C₂	semidirect
14. C₃×#3322	C₂	semidirect
15. C₃×#3301	C₂	semidirect
16. C₃×#3300	C₂	semidirect
17. C₃×#3297	C₂	semidirect
18. C₃×#3296	C₂	semidirect
19. C₃×#3232	C₂	semidirect
20. C₃×#3232	C₂	semidirect
21. C₃×#3204	C₂	semidirect
22. C₃×#3203	C₂	semidirect
23. C₃×#3201	C₂	semidirect
24. C₃×#3198	C₂	semidirect
25. C₃×#3102	C₂	semidirect
26. C₃×#3102	C₂	semidirect
27. C₃×#3099	C₂	semidirect
28. C₃×#3098	C₂	semidirect
29. C₃×#3097	C₂	semidirect
30. C₃×#3096	C₂	semidirect
31. C₃×#2979	C₂	semidirect
32. #61790	C₃	direct (N × H)
44. C₃×#553	C₂²	semidirect
45. C₃×#553	C₂²	semidirect
50. C₃×#552	C₂²	semidirect
51. C₃×#552	C₂²	semidirect
66. C₃×#537	C₂²	semidirect
74. C₂×C₃×#125	C₂²	semidirect
76. C₃×#520	C₂²	semidirect
77. C₃×C₄×#41	C₂²	semidirect
78. C₃×#499	C₂²	semidirect
79. C₃×#499	C₂²	semidirect
80. C₃×#499	C₂²	semidirect
81. C₃×#499	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
95. C₃×#484	C₂²	semidirect
96. C₃×#484	C₂²	semidirect
97. C₃×#484	C₂²	semidirect
98. C₃×#484	C₂²	semidirect
100. C₃×#483	C₂²	semidirect
101. C₃×#483	C₂²	semidirect
102. C₃×#483	C₂²	semidirect
103. C₃×#483	C₂²	semidirect
111. C₃×#482	C₂²	semidirect
116. C₃×#481	C₂²	semidirect
121. C₃×#480	C₂²	semidirect
122. C₃×#479	C₂²	semidirect
123. C₃×#479	C₂²	semidirect
124. C₃×#479	C₂²	semidirect
125. C₃×#479	C₂²	semidirect
126. C₃×#479	C₂²	semidirect
127. C₃×#479	C₂²	semidirect
132. C₃×#478	C₂²	semidirect
133. C₃×#478	C₂²	semidirect
135. C₃×#470	C₂²	semidirect
141. C₃×#468	C₂²	semidirect
143. C₃×#467	C₂²	semidirect
149. C₃×#465	C₂²	semidirect
156. C₃×#452	C₂²	semidirect
157. C₃×#452	C₂²	semidirect
158. C₃×#451	C₂²	semidirect
164. C₃×#448	C₂²	semidirect
166. C₃×C₄×Q₁₆	C₂²	semidirect
167. C₃×C₄×Q₁₆	C₂²	semidirect
170. C₃×C₄×SD₁₆	C₂²	semidirect
171. C₃×C₄×SD₁₆	C₂²	semidirect
176. C₃×#436	C₂²	semidirect
177. C₃×#436	C₂²	semidirect
180. C₃×C₈×D₄	C₂²	semidirect
181. C₃×C₈×D₄	C₂²	semidirect
182. C₃×#431	C₂²	semidirect
183. C₃×#431	C₂²	semidirect
185. C₃×#428	C₂²	semidirect
186. C₃×#428	C₂²	semidirect
187. C₃×#428	C₂²	semidirect
189. C₃×#427	C₂²	semidirect
190. C₂×C₃×#107	C₂²	semidirect
191. C₂×C₃×#106	C₂²	semidirect
192. C₃×#419	C₂²	semidirect
198. C₂×C₃×#103	C₂²	semidirect
202. C₃×#408	C₂²	semidirect
203. C₃×#408	C₂²	semidirect
204. #3551	C₂×C₃	semidirect
205. #3512	C₂×C₃	semidirect
206. #3355	C₂×C₃	semidirect
207. #3352	C₂×C₃	semidirect
208. #3351	C₂×C₃	semidirect
209. #3351	C₂×C₃	semidirect
210. #3339	C₂×C₃	semidirect
211. #3337	C₂×C₃	semidirect
212. #3337	C₂×C₃	semidirect
213. #3336	C₂×C₃	semidirect
214. #3327	C₂×C₃	semidirect
215. #3326	C₂×C₃	semidirect
216. #3323	C₂×C₃	semidirect
217. #3322	C₂×C₃	semidirect
218. #3301	C₂×C₃	semidirect
219. #3300	C₂×C₃	semidirect
220. #3297	C₂×C₃	semidirect
221. #3296	C₂×C₃	semidirect
222. #3232	C₂×C₃	semidirect
223. #3232	C₂×C₃	semidirect
224. #3204	C₂×C₃	semidirect
225. #3203	C₂×C₃	semidirect
226. #3201	C₂×C₃	semidirect
227. #3198	C₂×C₃	semidirect
228. #3102	C₂×C₃	semidirect
229. #3102	C₂×C₃	semidirect
230. #3099	C₂×C₃	semidirect
231. #3098	C₂×C₃	semidirect
232. #3097	C₂×C₃	semidirect
233. #3096	C₂×C₃	semidirect
234. #2979	C₂×C₃	semidirect
521. #553	C₂²×C₃	semidirect
522. #553	C₂²×C₃	semidirect
527. #552	C₂²×C₃	semidirect
528. #552	C₂²×C₃	semidirect
543. #537	C₂²×C₃	semidirect
551. C₂×#125	C₂²×C₃	semidirect
553. #520	C₂²×C₃	semidirect
554. C₄×#41	C₂²×C₃	semidirect
555. #499	C₂²×C₃	semidirect
556. #499	C₂²×C₃	semidirect
557. #499	C₂²×C₃	semidirect
558. #499	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
572. #484	C₂²×C₃	semidirect
573. #484	C₂²×C₃	semidirect
574. #484	C₂²×C₃	semidirect
575. #484	C₂²×C₃	semidirect
577. #483	C₂²×C₃	semidirect
578. #483	C₂²×C₃	semidirect
579. #483	C₂²×C₃	semidirect
580. #483	C₂²×C₃	semidirect
588. #482	C₂²×C₃	semidirect
593. #481	C₂²×C₃	semidirect
598. #480	C₂²×C₃	semidirect
599. #479	C₂²×C₃	semidirect
600. #479	C₂²×C₃	semidirect
601. #479	C₂²×C₃	semidirect
602. #479	C₂²×C₃	semidirect
603. #479	C₂²×C₃	semidirect
604. #479	C₂²×C₃	semidirect
609. #478	C₂²×C₃	semidirect
610. #478	C₂²×C₃	semidirect
612. #470	C₂²×C₃	semidirect
618. #468	C₂²×C₃	semidirect
620. #467	C₂²×C₃	semidirect
626. #465	C₂²×C₃	semidirect
633. #452	C₂²×C₃	semidirect
634. #452	C₂²×C₃	semidirect
635. #451	C₂²×C₃	semidirect
641. #448	C₂²×C₃	semidirect
643. C₄×Q₁₆	C₂²×C₃	semidirect
644. C₄×Q₁₆	C₂²×C₃	semidirect
647. C₄×SD₁₆	C₂²×C₃	semidirect
648. C₄×SD₁₆	C₂²×C₃	semidirect
653. #436	C₂²×C₃	semidirect
654. #436	C₂²×C₃	semidirect
657. C₈×D₄	C₂²×C₃	semidirect
658. C₈×D₄	C₂²×C₃	semidirect
659. #431	C₂²×C₃	semidirect
660. #431	C₂²×C₃	semidirect
662. #428	C₂²×C₃	semidirect
663. #428	C₂²×C₃	semidirect
664. #428	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
675. C₂×#103	C₂²×C₃	semidirect
679. #408	C₂²×C₃	semidirect
680. #408	C₂²×C₃	semidirect
1687. C₃	#61790	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×#3512	2
C₃×#3355	2
C₃×#3352	2
C₃×#3351	2
C₃×#3339	2
C₃×#3337	2
C₃×#3336	2
C₃×#3327	2
C₃×#3326	2
C₃×#3323	2
C₃×#3322	2
C₃×#3301	2
C₃×#3300	2
C₃×#3297	2
C₃×#3296	2
C₃×#3232	2
C₃×#3204	2
C₃×#3203	2
C₃×#3201	2
C₃×#3198	2
C₃×#3102	2
C₃×#3099	2
C₃×#3098	2
C₃×#3097	2
C₃×#3096	2
C₃×#2979	2
#61790	3

Subgroups — C3×#61790 #10680397

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₃×#61790 #10680397