Subgroups — C₃×#61799 #10680406

Order 768.

1734 conjugacy classes of subgroups.

The subgroup lattice has 1714 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×#3511	C₂	1	1	yes	maximal, characteristic, complemented
3	C₃×#3350	C₂	1	1	yes	maximal, characteristic, complemented
4	C₃×#3349	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×#3346	C₂	1	1	yes	maximal, characteristic, complemented
8	C₃×#3345	C₂	1	1	yes	maximal, characteristic, complemented
9	C₃×#3344	C₂	1	1	yes	maximal, characteristic, complemented
10	C₃×#3343	C₂	1	1	yes	maximal, characteristic, complemented
11	C₃×#3321	C₂	1	1	yes	maximal, characteristic, complemented
12	C₃×#3319	C₂	1	1	yes	maximal, characteristic, complemented
13	C₃×#3316	C₂	1	1	yes	maximal, characteristic, complemented
14	C₃×#3314	C₂	1	1	yes	maximal, characteristic, complemented
15	C₃×#3313	C₂	1	1	yes	maximal, characteristic, complemented
16	C₃×#3311	C₂	1	1	yes	maximal, characteristic, complemented
17	C₃×#3308	C₂	1	1	yes	maximal, characteristic, complemented
18	C₃×#3306	C₂	1	1	yes	maximal, characteristic, complemented
19	C₃×#3239	C₂	1	1	yes	maximal, characteristic, complemented
20	C₃×#3238	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×#3111	C₂	1	1	yes	maximal, characteristic, complemented
26	C₃×#3111	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×#2980	C₂	1	1	yes	maximal, characteristic, complemented
32	#61799	C₃	1	1	yes	maximal, characteristic, direct product factor, Sylow
33	C₃×#563	—	2	1	no	—
34	C₃×#560	—	2	1	no	—
35	C₃×#556	C₂²	1	1	yes	characteristic
36	C₃×#556	C₂²	1	1	yes	characteristic, complemented
37	C₃×#555	—	2	1	no	—
38	C₃×#555	C₂²	1	1	yes	characteristic
39	C₃×#555	C₂²	1	1	yes	characteristic, complemented
40	C₃×#554	C₂²	1	1	yes	characteristic
41	C₃×#554	C₂²	1	1	yes	characteristic, complemented
42	C₃×#553	—	2	1	no	—
43	C₃×#553	—	2	1	no	—
44	C₃×#553	C₂²	1	1	yes	characteristic
45	C₃×#553	C₂²	1	1	yes	characteristic
46	C₃×#552	C₂²	1	1	yes	characteristic
47	C₃×#552	C₂²	1	1	yes	characteristic
48	C₃×#551	—	2	1	no	—
49	C₃×#548	—	2	1	no	—
50	C₃×#548	—	2	1	no	—
51	C₃×#548	C₂²	1	1	yes	characteristic
52	C₃×#548	C₂²	1	1	yes	characteristic
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
56	C₃×#546	C₂²	1	1	yes	characteristic
57	C₃×#542	—	2	1	no	—
58	C₃×#542	—	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×#533	—	2	1	no	—
70	C₃×#532	—	2	1	no	—
71	C₃×#532	C₂²	1	1	yes	characteristic
72	C₂×C₃×C₄⋊Q₈	C₂²	1	1	yes	characteristic, complemented
73	C₃×#529	C₂²	1	1	yes	characteristic
74	C₃×#529	C₂²	1	1	yes	characteristic
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×#501	C₂²	1	1	yes	characteristic, complemented
79	C₃×#501	C₂²	1	1	yes	characteristic, complemented
80	C₃×#501	C₂²	1	1	yes	characteristic, complemented
81	C₃×#501	C₂²	1	1	yes	characteristic, complemented
82	C₃×#489	C₂²	1	1	yes	characteristic
83	C₃×#489	C₂²	1	1	yes	characteristic
84	C₃×#489	C₂²	1	1	yes	characteristic
85	C₃×#489	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×#478	C₂²	1	1	yes	characteristic, complemented
125	C₃×#478	C₂²	1	1	yes	characteristic, complemented
126	C₃×#477	C₂²	1	1	yes	characteristic, complemented
127	C₃×#477	C₂²	1	1	yes	characteristic, complemented
128	C₃×#476	C₂²	1	1	yes	characteristic
129	C₃×#476	C₂²	1	1	yes	characteristic
130	C₃×#475	C₂²	1	1	yes	characteristic, complemented
131	C₃×#475	C₂²	1	1	yes	characteristic, complemented
132	C₃×#474	C₂²	1	1	yes	characteristic
133	C₃×#474	C₂²	1	1	yes	characteristic
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×#442	C₂²	1	1	yes	characteristic
167	C₃×#442	C₂²	1	1	yes	characteristic
168	C₃×#441	C₂²	1	1	yes	characteristic, complemented
169	C₃×#441	C₂²	1	1	yes	characteristic, complemented
170	C₃×#440	C₂²	1	1	yes	characteristic
171	C₃×#440	C₂²	1	1	yes	characteristic
172	C₃×#440	C₂²	1	1	yes	characteristic, complemented
173	C₃×#440	C₂²	1	1	yes	characteristic, complemented
174	C₃×#435	C₂²	1	1	yes	characteristic
175	C₃×#435	C₂²	1	1	yes	characteristic
176	C₃×#435	C₂²	1	1	yes	characteristic
177	C₃×#435	C₂²	1	1	yes	characteristic
178	C₃×#435	C₂²	1	1	yes	characteristic, complemented
179	C₃×#435	C₂²	1	1	yes	characteristic, complemented
180	C₃×#435	C₂²	1	1	yes	characteristic, complemented
181	C₃×#435	C₂²	1	1	yes	characteristic, complemented
182	C₃×#432	C₂²	1	1	yes	characteristic, complemented
183	C₃×#432	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	#3511	C₂×C₃	1	1	yes	characteristic, complemented
206	#3350	C₂×C₃	1	1	yes	characteristic, complemented
207	#3349	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	#3346	C₂×C₃	1	1	yes	characteristic, complemented
211	#3345	C₂×C₃	1	1	yes	characteristic, complemented
212	#3344	C₂×C₃	1	1	yes	characteristic, complemented
213	#3343	C₂×C₃	1	1	yes	characteristic, complemented
214	#3321	C₂×C₃	1	1	yes	characteristic, complemented
215	#3319	C₂×C₃	1	1	yes	characteristic, complemented
216	#3316	C₂×C₃	1	1	yes	characteristic, complemented
217	#3314	C₂×C₃	1	1	yes	characteristic, complemented
218	#3313	C₂×C₃	1	1	yes	characteristic, complemented
219	#3311	C₂×C₃	1	1	yes	characteristic, complemented
220	#3308	C₂×C₃	1	1	yes	characteristic, complemented
221	#3306	C₂×C₃	1	1	yes	characteristic, complemented
222	#3239	C₂×C₃	1	1	yes	characteristic, complemented
223	#3238	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	#3111	C₂×C₃	1	1	yes	characteristic, complemented
229	#3111	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	#2980	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	C₂×C₃×#41	C₂³	1	1	yes	characteristic
242	C₂²×C₃×Q₈	—	2	1	no	—
243	C₂²×C₃×Q₈	C₂³	1	1	yes	characteristic
244	C₂²×C₃×D₄	C₂³	1	1	yes	characteristic
245	C₂×C₃×Q₁₆	C₂³	1	1	yes	characteristic
246	C₂×C₃×Q₁₆	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×SD₁₆	C₂³	1	1	yes	characteristic
250	C₂×C₃×SD₁₆	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	—	2	1	no	—
263	C₃×C₄⋊Q₈	—	2	1	no	—
264	C₃×C₄⋊Q₈	D₄	1	1	yes	characteristic
265	C₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
266	C₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
267	C₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
268	C₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
269	C₃×#127	—	2	1	no	—
270	C₃×#127	D₄	1	1	yes	characteristic
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×#126	—	2	1	no	—
280	C₃×#126	—	2	1	no	—
281	C₃×#125	—	2	1	no	—
282	C₃×#125	—	2	1	no	—
283	C₃×#125	—	2	1	no	—
284	C₃×#125	—	2	1	no	—
285	C₃×#125	C₂³	1	1	yes	characteristic
286	C₃×#125	C₂³	1	1	yes	characteristic
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	—	2	1	no	—
296	C₃×#124	—	2	1	no	—
297	C₃×#124	D₄	1	1	yes	characteristic
298	C₃×#124	D₄	1	1	yes	characteristic
299	C₃×#124	C₂³	1	1	yes	characteristic
300	C₃×#124	C₂³	1	1	yes	characteristic
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×C₂²⋊Q₈	—	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	—	2	1	no	—
323	C₃×C₂²⋊Q₈	—	2	1	no	—
324	C₃×C₂²⋊Q₈	—	2	1	no	—
325	C₃×C₂²⋊Q₈	—	2	1	no	—
326	C₃×C₂²⋊Q₈	—	2	1	no	—
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×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
333	C₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
334	C₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
335	C₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
336	C₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
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	—	2	1	no	—
355	C₃×#121	—	2	1	no	—
356	C₃×#121	—	2	1	no	—
357	C₃×#121	D₄	1	1	yes	characteristic
358	C₃×#121	D₄	1	1	yes	characteristic
359	C₃×#121	D₄	1	1	yes	characteristic
360	C₃×#121	D₄	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×#121	C₂³	1	1	yes	characteristic
369	C₃×#121	C₂³	1	1	yes	characteristic
370	C₃×#121	C₂³	1	1	yes	characteristic
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×Q₈	C₂³	1	1	yes	characteristic
382	C₃×C₄×Q₈	C₂³	1	1	yes	characteristic
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×#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	—	2	1	no	—
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	C₃×#117	C₂³	1	1	yes	characteristic
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×#97	C₂³	1	1	yes	characteristic
507	C₃×#97	C₂³	1	1	yes	characteristic
508	C₃×#97	C₂³	1	1	yes	characteristic
509	C₃×#97	C₂³	1	1	yes	characteristic
510	#563	—	2	1	no	—
511	#560	—	2	1	no	—
512	#556	C₂²×C₃	1	1	yes	characteristic
513	#556	C₂²×C₃	1	1	yes	characteristic, complemented
514	#555	—	2	1	no	—
515	#555	C₂²×C₃	1	1	yes	characteristic
516	#555	C₂²×C₃	1	1	yes	characteristic, complemented
517	#554	C₂²×C₃	1	1	yes	characteristic
518	#554	C₂²×C₃	1	1	yes	characteristic, complemented
519	#553	—	2	1	no	—
520	#553	—	2	1	no	—
521	#553	C₂²×C₃	1	1	yes	characteristic
522	#553	C₂²×C₃	1	1	yes	characteristic
523	#552	C₂²×C₃	1	1	yes	characteristic
524	#552	C₂²×C₃	1	1	yes	characteristic
525	#551	—	2	1	no	—
526	#548	—	2	1	no	—
527	#548	—	2	1	no	—
528	#548	C₂²×C₃	1	1	yes	characteristic
529	#548	C₂²×C₃	1	1	yes	characteristic
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
533	#546	C₂²×C₃	1	1	yes	characteristic
534	#542	—	2	1	no	—
535	#542	—	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	#533	—	2	1	no	—
547	#532	—	2	1	no	—
548	#532	C₂²×C₃	1	1	yes	characteristic
549	C₂×C₄⋊Q₈	C₂²×C₃	1	1	yes	characteristic, complemented
550	#529	C₂²×C₃	1	1	yes	characteristic
551	#529	C₂²×C₃	1	1	yes	characteristic
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	#501	C₂²×C₃	1	1	yes	characteristic, complemented
556	#501	C₂²×C₃	1	1	yes	characteristic, complemented
557	#501	C₂²×C₃	1	1	yes	characteristic, complemented
558	#501	C₂²×C₃	1	1	yes	characteristic, complemented
559	#489	C₂²×C₃	1	1	yes	characteristic
560	#489	C₂²×C₃	1	1	yes	characteristic
561	#489	C₂²×C₃	1	1	yes	characteristic
562	#489	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	#478	C₂²×C₃	1	1	yes	characteristic, complemented
602	#478	C₂²×C₃	1	1	yes	characteristic, complemented
603	#477	C₂²×C₃	1	1	yes	characteristic, complemented
604	#477	C₂²×C₃	1	1	yes	characteristic, complemented
605	#476	C₂²×C₃	1	1	yes	characteristic
606	#476	C₂²×C₃	1	1	yes	characteristic
607	#475	C₂²×C₃	1	1	yes	characteristic, complemented
608	#475	C₂²×C₃	1	1	yes	characteristic, complemented
609	#474	C₂²×C₃	1	1	yes	characteristic
610	#474	C₂²×C₃	1	1	yes	characteristic
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	#442	C₂²×C₃	1	1	yes	characteristic
644	#442	C₂²×C₃	1	1	yes	characteristic
645	#441	C₂²×C₃	1	1	yes	characteristic, complemented
646	#441	C₂²×C₃	1	1	yes	characteristic, complemented
647	#440	C₂²×C₃	1	1	yes	characteristic
648	#440	C₂²×C₃	1	1	yes	characteristic
649	#440	C₂²×C₃	1	1	yes	characteristic, complemented
650	#440	C₂²×C₃	1	1	yes	characteristic, complemented
651	#435	C₂²×C₃	1	1	yes	characteristic
652	#435	C₂²×C₃	1	1	yes	characteristic
653	#435	C₂²×C₃	1	1	yes	characteristic
654	#435	C₂²×C₃	1	1	yes	characteristic
655	#435	C₂²×C₃	1	1	yes	characteristic, complemented
656	#435	C₂²×C₃	1	1	yes	characteristic, complemented
657	#435	C₂²×C₃	1	1	yes	characteristic, complemented
658	#435	C₂²×C₃	1	1	yes	characteristic, complemented
659	#432	C₂²×C₃	1	1	yes	characteristic, complemented
660	#432	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	C₃×#41	—	8	2	no	—
693	C₃×#41	—	8	2	no	—
694	C₂×C₃×Q₈	—	2	1	no	—
695	C₂×C₃×Q₈	—	2	1	no	—
696	C₂×C₃×Q₈	—	2	1	no	—
697	C₂×C₃×Q₈	—	2	1	no	—
698	C₂×C₃×Q₈	—	2	1	no	—
699	C₂×C₃×Q₈	—	4	1	no	—
700	C₂×C₃×Q₈	—	4	1	no	—
701	C₂×C₃×Q₈	—	8	2	no	—
702	C₂×C₃×Q₈	C₂×D₄	1	1	yes	characteristic
703	C₂×C₃×Q₈	C₂×D₄	1	1	yes	characteristic
704	C₂×C₃×Q₈	C₂⁴	1	1	yes	characteristic
705	C₂×C₃×Q₈	C₂⁴	1	1	yes	characteristic
706	C₂×C₃×Q₈	C₂⁴	1	1	yes	characteristic
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	—	2	1	no	—
721	C₂×C₃×D₄	—	4	1	no	—
722	C₂×C₃×D₄	—	4	1	no	—
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	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	C₂⁴	1	1	yes	characteristic
734	C₂×C₃×D₄	C₂⁴	1	1	yes	characteristic
735	C₂×C₃×D₄	C₂⁴	1	1	yes	characteristic
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	—	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	C₂×D₄	1	1	yes	characteristic
753	C₂²×C₃×C₄	C₂×D₄	1	1	yes	characteristic
754	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
755	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
756	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
757	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
758	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
759	C₃×Q₁₆	—	4	1	no	—
760	C₃×Q₁₆	—	4	1	no	—
761	C₃×SD₁₆	—	4	1	no	—
762	C₃×SD₁₆	—	4	1	no	—
763	C₃×SD₁₆	—	4	1	no	—
764	C₃×SD₁₆	—	4	1	no	—
765	C₃×D₈	—	4	1	no	—
766	C₃×D₈	—	4	1	no	—
767	C₃×M₁₆	—	4	1	no	—
768	C₃×M₁₆	—	4	1	no	—
769	C₃×M₁₆	—	4	1	no	—
770	C₃×M₁₆	—	4	1	no	—
771	C₂×C₃×C₈	—	4	1	no	—
772	C₂×C₃×C₈	—	4	1	no	—
773	C₂×C₃×C₈	—	4	1	no	—
774	C₂×C₃×C₈	—	4	1	no	—
775	C₂×C₃×C₈	C₂⁴	1	1	yes	characteristic
776	C₂×C₃×C₈	C₂⁴	1	1	yes	characteristic
777	C₂×C₃×C₈	C₂⁴	1	1	yes	characteristic
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	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	—	2	1	no	—
811	C₃×C₄⋊C₄	—	2	1	no	—
812	C₃×C₄⋊C₄	—	2	1	no	—
813	C₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
814	C₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
815	C₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
816	C₃×C₄⋊C₄	C₂×D₄	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×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
826	C₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
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	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×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×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	—	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	C₂×#41	C₂³×C₃	1	1	yes	characteristic
892	C₂²×Q₈	—	2	1	no	—
893	C₂²×Q₈	C₂³×C₃	1	1	yes	characteristic
894	C₂²×D₄	C₂³×C₃	1	1	yes	characteristic
895	C₂×Q₁₆	C₂³×C₃	1	1	yes	characteristic
896	C₂×Q₁₆	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×SD₁₆	C₂³×C₃	1	1	yes	characteristic
900	C₂×SD₁₆	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	—	2	1	no	—
913	C₄⋊Q₈	—	2	1	no	—
914	C₄⋊Q₈	C₃×D₄	1	1	yes	characteristic
915	C₄⋊Q₈	C₂³×C₃	1	1	yes	characteristic
916	C₄⋊Q₈	C₂³×C₃	1	1	yes	characteristic
917	C₄⋊Q₈	C₂³×C₃	1	1	yes	characteristic
918	C₄⋊Q₈	C₂³×C₃	1	1	yes	characteristic
919	#127	—	2	1	no	—
920	#127	C₃×D₄	1	1	yes	characteristic
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	#126	—	2	1	no	—
930	#126	—	2	1	no	—
931	#125	—	2	1	no	—
932	#125	—	2	1	no	—
933	#125	—	2	1	no	—
934	#125	—	2	1	no	—
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	—	2	1	no	—
942	#124	—	2	1	no	—
943	#124	—	2	1	no	—
944	#124	—	2	1	no	—
945	#124	—	2	1	no	—
946	#124	—	2	1	no	—
947	#124	C₃×D₄	1	1	yes	characteristic
948	#124	C₃×D₄	1	1	yes	characteristic
949	#124	C₂³×C₃	1	1	yes	characteristic
950	#124	C₂³×C₃	1	1	yes	characteristic
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	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	—	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	—	2	1	no	—
976	C₂²⋊Q₈	—	2	1	no	—
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	C₂²⋊Q₈	C₂³×C₃	1	1	yes	characteristic
982	C₂²⋊Q₈	C₂³×C₃	1	1	yes	characteristic
983	C₂²⋊Q₈	C₂³×C₃	1	1	yes	characteristic
984	C₂²⋊Q₈	C₂³×C₃	1	1	yes	characteristic
985	C₂²⋊Q₈	C₂³×C₃	1	1	yes	characteristic
986	C₂²⋊Q₈	C₂³×C₃	1	1	yes	characteristic
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	—	2	1	no	—
1002	#121	—	2	1	no	—
1003	#121	—	2	1	no	—
1004	#121	—	2	1	no	—
1005	#121	—	2	1	no	—
1006	#121	—	2	1	no	—
1007	#121	C₃×D₄	1	1	yes	characteristic
1008	#121	C₃×D₄	1	1	yes	characteristic
1009	#121	C₃×D₄	1	1	yes	characteristic
1010	#121	C₃×D₄	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	#121	C₂³×C₃	1	1	yes	characteristic
1018	#121	C₂³×C₃	1	1	yes	characteristic
1019	#121	C₂³×C₃	1	1	yes	characteristic
1020	#121	C₂³×C₃	1	1	yes	characteristic
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×Q₈	C₂³×C₃	1	1	yes	characteristic
1032	C₄×Q₈	C₂³×C₃	1	1	yes	characteristic
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	#117	—	2	1	no	—
1058	#117	—	2	1	no	—
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	C₂³×C₃	1	1	yes	characteristic
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	C₂×C₄⋊C₄	—	2	1	no	—
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×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×C₄²	—	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	#103	C₂³×C₃	1	1	yes	characteristic
1125	#103	C₂³×C₃	1	1	yes	characteristic
1126	#103	C₂³×C₃	1	1	yes	characteristic
1127	#103	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	#97	C₂³×C₃	1	1	yes	characteristic
1159	#97	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	—	8	1	no	—
1164	C₂³×C₃	—	8	1	no	—
1165	C₂³×C₃	—	8	1	no	—
1166	C₂³×C₃	C₂²×D₄	1	1	yes	characteristic
1167	C₂³×C₃	C₂²×D₄	1	1	yes	characteristic
1168	C₂³×C₃	C₂²×D₄	1	1	yes	characteristic
1169	C₂³×C₃	C₂²×D₄	1	1	yes	characteristic
1170	C₂³×C₃	C₂²×D₄	1	1	yes	characteristic
1171	C₃×Q₈	—	2	1	no	—
1172	C₃×Q₈	—	2	1	no	—
1173	C₃×Q₈	—	2	1	no	—
1174	C₃×Q₈	—	2	1	no	—
1175	C₃×Q₈	—	2	1	no	—
1176	C₃×Q₈	—	2	1	no	—
1177	C₃×Q₈	—	4	1	no	—
1178	C₃×Q₈	—	4	1	no	—
1179	C₃×Q₈	—	4	2	no	—
1180	C₃×Q₈	—	4	2	no	—
1181	C₃×Q₈	—	8	1	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	—	4	1	no	—
1191	C₃×D₄	—	4	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	2	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	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	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	—	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	—	4	1	no	—
1238	C₂×C₃×C₄	—	4	1	no	—
1239	C₂×C₃×C₄	—	4	2	no	—
1240	C₂×C₃×C₄	—	4	2	no	—
1241	C₂×C₃×C₄	—	4	2	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	—	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	C₂²×D₄	1	1	yes	characteristic
1256	C₂×C₃×C₄	C₂²×D₄	1	1	yes	characteristic
1257	C₂×C₃×C₄	C₂²×D₄	1	1	yes	characteristic
1258	C₂×C₃×C₄	C₂²×D₄	1	1	yes	characteristic
1259	C₂×C₃×C₄	C₂²×D₄	1	1	yes	characteristic
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	C₂⁵	1	1	yes	characteristic
1265	C₃×C₈	—	2	1	no	—
1266	C₃×C₈	—	2	1	no	—
1267	C₃×C₈	—	2	1	no	—
1268	C₃×C₈	—	2	1	no	—
1269	C₃×C₈	—	2	1	no	—
1270	C₃×C₈	—	2	1	no	—
1271	C₃×C₈	—	2	1	no	—
1272	C₃×C₈	—	2	1	no	—
1273	C₂⁴	—	2	1	no	—
1274	#41	—	4	1	no	—
1275	#41	—	4	1	no	—
1276	#41	—	4	1	no	—
1277	#41	—	4	1	no	—
1278	#41	—	4	1	no	—
1279	#41	—	4	1	no	—
1280	#41	—	4	1	no	—
1281	#41	—	4	1	no	—
1282	#41	—	4	1	no	—
1283	#41	—	4	1	no	—
1284	#41	—	8	2	no	—
1285	#41	—	8	2	no	—
1286	C₂×Q₈	—	2	1	no	—
1287	C₂×Q₈	—	2	1	no	—
1288	C₂×Q₈	—	2	1	no	—
1289	C₂×Q₈	—	2	1	no	—
1290	C₂×Q₈	—	2	1	no	—
1291	C₂×Q₈	—	4	1	no	—
1292	C₂×Q₈	—	4	1	no	—
1293	C₂×Q₈	—	8	2	no	—
1294	C₂×Q₈	C₂×C₃×D₄	1	1	yes	characteristic
1295	C₂×Q₈	C₂×C₃×D₄	1	1	yes	characteristic
1296	C₂×Q₈	C₂⁴×C₃	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	—	4	1	no	—
1314	C₂×D₄	—	4	1	no	—
1315	C₂×D₄	C₂×C₃×D₄	1	1	yes	characteristic
1316	C₂×D₄	C₂×C₃×D₄	1	1	yes	characteristic
1317	C₂×D₄	C₂×C₃×D₄	1	1	yes	characteristic
1318	C₂×D₄	C₂×C₃×D₄	1	1	yes	characteristic
1319	C₂×D₄	C₂×C₃×D₄	1	1	yes	characteristic
1320	C₂×D₄	C₂×C₃×D₄	1	1	yes	characteristic
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	C₂⁴×C₃	1	1	yes	characteristic
1326	C₂×D₄	C₂⁴×C₃	1	1	yes	characteristic
1327	C₂×D₄	C₂⁴×C₃	1	1	yes	characteristic
1328	C₂²×C₄	—	2	1	no	—
1329	C₂²×C₄	—	2	1	no	—
1330	C₂²×C₄	—	2	1	no	—
1331	C₂²×C₄	—	2	1	no	—
1332	C₂²×C₄	—	2	1	no	—
1333	C₂²×C₄	—	2	1	no	—
1334	C₂²×C₄	—	2	1	no	—
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	C₂×C₃×D₄	1	1	yes	characteristic
1345	C₂²×C₄	C₂×C₃×D₄	1	1	yes	characteristic
1346	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
1347	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
1348	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
1349	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
1350	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
1351	Q₁₆	—	4	1	no	—
1352	Q₁₆	—	4	1	no	—
1353	SD₁₆	—	4	1	no	—
1354	SD₁₆	—	4	1	no	—
1355	SD₁₆	—	4	1	no	—
1356	SD₁₆	—	4	1	no	—
1357	D₈	—	4	1	no	—
1358	D₈	—	4	1	no	—
1359	M₁₆	—	4	1	no	—
1360	M₁₆	—	4	1	no	—
1361	M₁₆	—	4	1	no	—
1362	M₁₆	—	4	1	no	—
1363	C₂×C₈	—	4	1	no	—
1364	C₂×C₈	—	4	1	no	—
1365	C₂×C₈	—	4	1	no	—
1366	C₂×C₈	—	4	1	no	—
1367	C₂×C₈	C₂⁴×C₃	1	1	yes	characteristic
1368	C₂×C₈	C₂⁴×C₃	1	1	yes	characteristic
1369	C₂×C₈	C₂⁴×C₃	1	1	yes	characteristic
1370	C₂×C₈	C₂⁴×C₃	1	1	yes	characteristic
1371	C₂×C₈	C₂⁴×C₃	1	1	yes	characteristic
1372	C₂×C₈	C₂⁴×C₃	1	1	yes	characteristic
1373	C₂×C₈	C₂⁴×C₃	1	1	yes	characteristic
1374	C₂×C₈	C₂⁴×C₃	1	1	yes	characteristic
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	—	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	C₂×C₃×D₄	1	1	yes	characteristic
1406	C₄⋊C₄	C₂×C₃×D₄	1	1	yes	characteristic
1407	C₄⋊C₄	C₂×C₃×D₄	1	1	yes	characteristic
1408	C₄⋊C₄	C₂×C₃×D₄	1	1	yes	characteristic
1409	C₄⋊C₄	C₂⁴×C₃	1	1	yes	characteristic
1410	C₄⋊C₄	C₂⁴×C₃	1	1	yes	characteristic
1411	C₄⋊C₄	C₂⁴×C₃	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	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	—	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	C₂×C₃×D₄	1	1	yes	characteristic
1455	C₂²⋊C₄	C₂×C₃×D₄	1	1	yes	characteristic
1456	C₂²⋊C₄	C₂×C₃×D₄	1	1	yes	characteristic
1457	C₂²⋊C₄	C₂×C₃×D₄	1	1	yes	characteristic
1458	C₂²⋊C₄	C₂×C₃×D₄	1	1	yes	characteristic
1459	C₂²⋊C₄	C₂×C₃×D₄	1	1	yes	characteristic
1460	C₂²⋊C₄	C₂×C₃×D₄	1	1	yes	characteristic
1461	C₂²⋊C₄	C₂×C₃×D₄	1	1	yes	characteristic
1462	C₄²	—	2	1	no	—
1463	C₄²	—	2	1	no	—
1464	C₄²	—	2	1	no	—
1465	C₄²	—	2	1	no	—
1466	C₄²	—	2	1	no	—
1467	C₄²	—	2	1	no	—
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	C₂×C₃×D₄	1	1	yes	characteristic
1474	C₄²	C₂×C₃×D₄	1	1	yes	characteristic
1475	C₄²	C₂⁴×C₃	1	1	yes	characteristic
1476	C₄²	C₂⁴×C₃	1	1	yes	characteristic
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	—	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	—	4	1	no	—
1493	C₂²×C₃	—	4	1	no	—
1494	C₂²×C₃	—	4	1	no	—
1495	C₂²×C₃	—	4	1	no	—
1496	C₂²×C₃	—	4	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	—	16	2	no	—
1502	C₂²×C₃	C₂³×D₄	1	1	yes	characteristic
1503	C₃×C₄	—	2	1	no	—
1504	C₃×C₄	—	2	1	no	—
1505	C₃×C₄	—	2	1	no	—
1506	C₃×C₄	—	2	1	no	—
1507	C₃×C₄	—	2	1	no	—
1508	C₃×C₄	—	2	1	no	—
1509	C₃×C₄	—	2	1	no	—
1510	C₃×C₄	—	2	1	no	—
1511	C₃×C₄	—	2	1	no	—
1512	C₃×C₄	—	4	1	no	—
1513	C₃×C₄	—	4	1	no	—
1514	C₃×C₄	—	4	1	no	—
1515	C₃×C₄	—	4	1	no	—
1516	C₃×C₄	—	4	1	no	—
1517	C₃×C₄	—	4	1	no	—
1518	C₃×C₄	—	4	1	no	—
1519	C₃×C₄	—	4	1	no	—
1520	C₃×C₄	—	4	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	#585	1	1	yes	characteristic
1526	C₃×C₄	#585	1	1	yes	characteristic
1527	C₂³	—	2	1	no	—
1528	C₂³	—	2	1	no	—
1529	C₂³	—	2	1	no	—
1530	C₂³	—	8	1	no	—
1531	C₂³	—	8	1	no	—
1532	C₂³	—	8	1	no	—
1533	C₂³	C₂²×C₃×D₄	1	1	yes	characteristic
1534	C₂³	C₂²×C₃×D₄	1	1	yes	characteristic
1535	C₂³	C₂²×C₃×D₄	1	1	yes	characteristic
1536	C₂³	C₂²×C₃×D₄	1	1	yes	characteristic
1537	C₂³	C₂²×C₃×D₄	1	1	yes	characteristic
1538	Q₈	—	2	1	no	—
1539	Q₈	—	2	1	no	—
1540	Q₈	—	2	1	no	—
1541	Q₈	—	2	1	no	—
1542	Q₈	—	2	1	no	—
1543	Q₈	—	2	1	no	—
1544	Q₈	—	4	1	no	—
1545	Q₈	—	4	1	no	—
1546	Q₈	—	4	2	no	—
1547	Q₈	—	4	2	no	—
1548	Q₈	—	8	1	no	—
1549	Q₈	—	8	1	no	—
1550	Q₈	—	8	1	no	—
1551	D₄	—	2	1	no	—
1552	D₄	—	2	1	no	—
1553	D₄	—	2	1	no	—
1554	D₄	—	2	1	no	—
1555	D₄	—	2	1	no	—
1556	D₄	—	2	1	no	—
1557	D₄	—	4	1	no	—
1558	D₄	—	4	1	no	—
1559	D₄	—	4	1	no	—
1560	D₄	—	4	1	no	—
1561	D₄	—	4	1	no	—
1562	D₄	—	4	1	no	—
1563	D₄	—	4	1	no	—
1564	D₄	—	4	1	no	—
1565	D₄	—	4	1	no	—
1566	D₄	—	4	1	no	—
1567	D₄	—	4	2	no	—
1568	D₄	—	8	1	no	—
1569	D₄	—	8	1	no	—
1570	D₄	—	8	1	no	—
1571	D₄	—	8	1	no	—
1572	D₄	—	8	1	no	—
1573	D₄	—	8	1	no	—
1574	D₄	—	8	1	no	—
1575	D₄	—	8	1	no	—
1576	D₄	—	8	1	no	—
1577	D₄	—	8	1	no	—
1578	D₄	—	8	1	no	—
1579	D₄	—	8	1	no	—
1580	D₄	—	8	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	—	2	1	no	—
1591	C₂×C₄	—	2	1	no	—
1592	C₂×C₄	—	2	1	no	—
1593	C₂×C₄	—	2	1	no	—
1594	C₂×C₄	—	2	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	—	4	1	no	—
1605	C₂×C₄	—	4	1	no	—
1606	C₂×C₄	—	4	2	no	—
1607	C₂×C₄	—	4	2	no	—
1608	C₂×C₄	—	4	2	no	—
1609	C₂×C₄	—	8	1	no	—
1610	C₂×C₄	—	8	1	no	—
1611	C₂×C₄	—	8	1	no	—
1612	C₂×C₄	—	8	1	no	—
1613	C₂×C₄	—	8	1	no	—
1614	C₂×C₄	—	8	1	no	—
1615	C₂×C₄	—	8	1	no	—
1616	C₂×C₄	—	8	1	no	—
1617	C₂×C₄	—	8	1	no	—
1618	C₂×C₄	—	8	1	no	—
1619	C₂×C₄	—	8	1	no	—
1620	C₂×C₄	—	8	1	no	—
1621	C₂×C₄	—	8	1	no	—
1622	C₂×C₄	C₂²×C₃×D₄	1	1	yes	characteristic
1623	C₂×C₄	C₂²×C₃×D₄	1	1	yes	characteristic
1624	C₂×C₄	C₂²×C₃×D₄	1	1	yes	characteristic
1625	C₂×C₄	C₂²×C₃×D₄	1	1	yes	characteristic
1626	C₂×C₄	C₂²×C₃×D₄	1	1	yes	characteristic
1627	C₂×C₄	C₂²×C₃×D₄	1	1	yes	characteristic
1628	C₂×C₄	C₂²×C₃×D₄	1	1	yes	characteristic
1629	C₂×C₄	C₂²×C₃×D₄	1	1	yes	characteristic
1630	C₂×C₄	C₂²×C₃×D₄	1	1	yes	characteristic
1631	C₂×C₄	C₂⁵×C₃	1	1	yes	characteristic
1632	C₈	—	2	1	no	—
1633	C₈	—	2	1	no	—
1634	C₈	—	2	1	no	—
1635	C₈	—	2	1	no	—
1636	C₈	—	2	1	no	—
1637	C₈	—	2	1	no	—
1638	C₈	—	2	1	no	—
1639	C₈	—	2	1	no	—
1640	C₂×C₃	—	4	1	no	—
1641	C₂×C₃	—	4	1	no	—
1642	C₂×C₃	—	4	1	no	—
1643	C₂×C₃	—	4	1	no	—
1644	C₂×C₃	—	4	1	no	—
1645	C₂×C₃	—	8	1	no	—
1646	C₂×C₃	—	8	1	no	—
1647	C₂×C₃	—	8	1	no	—
1648	C₂×C₃	#3485	1	1	yes	characteristic
1649	C₂×C₃	#3585	1	1	yes	characteristic
1650	C₂×C₃	#3586	1	1	yes	characteristic
1651	C₂²	—	2	1	no	—
1652	C₂²	—	2	1	no	—
1653	C₂²	—	2	1	no	—
1654	C₂²	—	2	1	no	—
1655	C₂²	—	2	1	no	—
1656	C₂²	—	2	1	no	—
1657	C₂²	—	2	1	no	—
1658	C₂²	—	2	1	no	—
1659	C₂²	—	2	1	no	—
1660	C₂²	—	2	1	no	—
1661	C₂²	—	2	1	no	—
1662	C₂²	—	2	1	no	—
1663	C₂²	—	2	1	no	—
1664	C₂²	—	2	1	no	—
1665	C₂²	—	2	1	no	—
1666	C₂²	—	4	1	no	—
1667	C₂²	—	4	1	no	—
1668	C₂²	—	4	1	no	—
1669	C₂²	—	4	1	no	—
1670	C₂²	—	4	1	no	—
1671	C₂²	—	4	1	no	—
1672	C₂²	—	4	1	no	—
1673	C₂²	—	4	1	no	—
1674	C₂²	—	4	1	no	—
1675	C₂²	—	16	2	no	—
1676	C₂²	C₂³×C₃×D₄	1	1	yes	characteristic
1677	C₄	—	2	1	no	—
1678	C₄	—	2	1	no	—
1679	C₄	—	2	1	no	—
1680	C₄	—	2	1	no	—
1681	C₄	—	2	1	no	—
1682	C₄	—	2	1	no	—
1683	C₄	—	2	1	no	—
1684	C₄	—	2	1	no	—
1685	C₄	—	2	1	no	—
1686	C₄	—	4	1	no	—
1687	C₄	—	4	1	no	—
1688	C₄	—	4	1	no	—
1689	C₄	—	4	1	no	—
1690	C₄	—	4	1	no	—
1691	C₄	—	4	1	no	—
1692	C₄	—	4	1	no	—
1693	C₄	—	4	1	no	—
1694	C₄	—	4	1	no	—
1695	C₄	—	4	1	no	—
1696	C₄	—	4	1	no	—
1697	C₄	—	4	1	no	—
1698	C₄	—	4	1	no	—
1699	C₄	C₃×#585	1	1	yes	characteristic
1700	C₄	C₃×#585	1	1	yes	characteristic
1701	C₃	#61799	1	1	yes	characteristic, direct product factor, Sylow
1702	C₂	—	4	1	no	—
1703	C₂	—	4	1	no	—
1704	C₂	—	4	1	no	—
1705	C₂	—	4	1	no	—
1706	C₂	—	4	1	no	—
1707	C₂	—	8	1	no	—
1708	C₂	—	8	1	no	—
1709	C₂	—	8	1	no	—
1710	C₂	C₃×#3485	1	1	yes	characteristic
1711	C₂	C₃×#3585	1	1	yes	characteristic
1712	C₂	C₃×#3586	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×#3511	C₂	semidirect
3. C₃×#3350	C₂	semidirect
4. C₃×#3349	C₂	semidirect
5. C₃×#3348	C₂	semidirect
6. C₃×#3347	C₂	semidirect
7. C₃×#3346	C₂	semidirect
8. C₃×#3345	C₂	semidirect
9. C₃×#3344	C₂	semidirect
10. C₃×#3343	C₂	semidirect
11. C₃×#3321	C₂	semidirect
12. C₃×#3319	C₂	semidirect
13. C₃×#3316	C₂	semidirect
14. C₃×#3314	C₂	semidirect
15. C₃×#3313	C₂	semidirect
16. C₃×#3311	C₂	semidirect
17. C₃×#3308	C₂	semidirect
18. C₃×#3306	C₂	semidirect
19. C₃×#3239	C₂	semidirect
20. C₃×#3238	C₂	semidirect
21. C₃×#3204	C₂	semidirect
22. C₃×#3203	C₂	semidirect
23. C₃×#3201	C₂	semidirect
24. C₃×#3198	C₂	semidirect
25. C₃×#3111	C₂	semidirect
26. C₃×#3111	C₂	semidirect
27. C₃×#3099	C₂	semidirect
28. C₃×#3098	C₂	semidirect
29. C₃×#3097	C₂	semidirect
30. C₃×#3096	C₂	semidirect
31. C₃×#2980	C₂	semidirect
32. #61799	C₃	direct (N × H)
36. C₃×#556	C₂²	semidirect
39. C₃×#555	C₂²	semidirect
41. C₃×#554	C₂²	semidirect
54. C₃×#547	C₂²	semidirect
66. C₃×#537	C₂²	semidirect
72. C₂×C₃×C₄⋊Q₈	C₂²	semidirect
76. C₃×#520	C₂²	semidirect
77. C₃×C₄×#41	C₂²	semidirect
78. C₃×#501	C₂²	semidirect
79. C₃×#501	C₂²	semidirect
80. C₃×#501	C₂²	semidirect
81. C₃×#501	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×#478	C₂²	semidirect
125. C₃×#478	C₂²	semidirect
126. C₃×#477	C₂²	semidirect
127. C₃×#477	C₂²	semidirect
130. C₃×#475	C₂²	semidirect
131. C₃×#475	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
168. C₃×#441	C₂²	semidirect
169. C₃×#441	C₂²	semidirect
172. C₃×#440	C₂²	semidirect
173. C₃×#440	C₂²	semidirect
178. C₃×#435	C₂²	semidirect
179. C₃×#435	C₂²	semidirect
180. C₃×#435	C₂²	semidirect
181. C₃×#435	C₂²	semidirect
182. C₃×#432	C₂²	semidirect
183. C₃×#432	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. #3511	C₂×C₃	semidirect
206. #3350	C₂×C₃	semidirect
207. #3349	C₂×C₃	semidirect
208. #3348	C₂×C₃	semidirect
209. #3347	C₂×C₃	semidirect
210. #3346	C₂×C₃	semidirect
211. #3345	C₂×C₃	semidirect
212. #3344	C₂×C₃	semidirect
213. #3343	C₂×C₃	semidirect
214. #3321	C₂×C₃	semidirect
215. #3319	C₂×C₃	semidirect
216. #3316	C₂×C₃	semidirect
217. #3314	C₂×C₃	semidirect
218. #3313	C₂×C₃	semidirect
219. #3311	C₂×C₃	semidirect
220. #3308	C₂×C₃	semidirect
221. #3306	C₂×C₃	semidirect
222. #3239	C₂×C₃	semidirect
223. #3238	C₂×C₃	semidirect
224. #3204	C₂×C₃	semidirect
225. #3203	C₂×C₃	semidirect
226. #3201	C₂×C₃	semidirect
227. #3198	C₂×C₃	semidirect
228. #3111	C₂×C₃	semidirect
229. #3111	C₂×C₃	semidirect
230. #3099	C₂×C₃	semidirect
231. #3098	C₂×C₃	semidirect
232. #3097	C₂×C₃	semidirect
233. #3096	C₂×C₃	semidirect
234. #2980	C₂×C₃	semidirect
513. #556	C₂²×C₃	semidirect
516. #555	C₂²×C₃	semidirect
518. #554	C₂²×C₃	semidirect
531. #547	C₂²×C₃	semidirect
543. #537	C₂²×C₃	semidirect
549. C₂×C₄⋊Q₈	C₂²×C₃	semidirect
553. #520	C₂²×C₃	semidirect
554. C₄×#41	C₂²×C₃	semidirect
555. #501	C₂²×C₃	semidirect
556. #501	C₂²×C₃	semidirect
557. #501	C₂²×C₃	semidirect
558. #501	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. #478	C₂²×C₃	semidirect
602. #478	C₂²×C₃	semidirect
603. #477	C₂²×C₃	semidirect
604. #477	C₂²×C₃	semidirect
607. #475	C₂²×C₃	semidirect
608. #475	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
645. #441	C₂²×C₃	semidirect
646. #441	C₂²×C₃	semidirect
649. #440	C₂²×C₃	semidirect
650. #440	C₂²×C₃	semidirect
655. #435	C₂²×C₃	semidirect
656. #435	C₂²×C₃	semidirect
657. #435	C₂²×C₃	semidirect
658. #435	C₂²×C₃	semidirect
659. #432	C₂²×C₃	semidirect
660. #432	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
1701. C₃	#61799	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×#3511	2
C₃×#3350	2
C₃×#3349	2
C₃×#3348	2
C₃×#3347	2
C₃×#3346	2
C₃×#3345	2
C₃×#3344	2
C₃×#3343	2
C₃×#3321	2
C₃×#3319	2
C₃×#3316	2
C₃×#3314	2
C₃×#3313	2
C₃×#3311	2
C₃×#3308	2
C₃×#3306	2
C₃×#3239	2
C₃×#3238	2
C₃×#3204	2
C₃×#3203	2
C₃×#3201	2
C₃×#3198	2
C₃×#3111	2
C₃×#3099	2
C₃×#3098	2
C₃×#3097	2
C₃×#3096	2
C₃×#2980	2
#61799	3

Subgroups — C3×#61799 #10680406

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₃×#61799 #10680406