Subgroups — #11680848

Order 768.

2056 conjugacy classes of subgroups.

The subgroup lattice has 1870 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₃×#3541	C₂	1	1	yes	maximal, characteristic, complemented
2	#86040	C₂	1	1	yes	maximal, characteristic, complemented
3	#83665	C₂	1	1	yes	maximal, characteristic, complemented
4	#83664	C₂	1	1	yes	maximal, characteristic, complemented
5	#83636	C₂	1	1	yes	maximal, characteristic, complemented
6	#83635	C₂	1	1	yes	maximal, characteristic, complemented
7	#83617	C₂	1	1	yes	maximal, characteristic, complemented
8	#83615	C₂	1	1	yes	maximal, characteristic, complemented
9	#83600	C₂	1	1	yes	maximal, characteristic, complemented
10	#83598	C₂	1	1	yes	maximal, characteristic, complemented
11	#83560	C₂	1	1	yes	maximal, characteristic, complemented
12	#83559	C₂	1	1	yes	maximal, characteristic, complemented
13	#83545	C₂	1	1	yes	maximal, characteristic, complemented
14	#83544	C₂	1	1	yes	maximal, characteristic, complemented
15	#83543	C₂	1	1	yes	maximal, characteristic, complemented
16	#83543	C₂	1	1	yes	maximal, characteristic, complemented
17	#83524	C₂	1	1	yes	maximal, characteristic, complemented
18	#83522	C₂	1	1	yes	maximal, characteristic, complemented
19	#83464	C₂	1	1	yes	maximal, characteristic, complemented
20	#83460	C₂	1	1	yes	maximal, characteristic, complemented
21	#83452	C₂	1	1	yes	maximal, characteristic, complemented
22	#83447	C₂	1	1	yes	maximal, characteristic, complemented
23	#83428	C₂	1	1	yes	maximal, characteristic, complemented
24	#83424	C₂	1	1	yes	maximal, characteristic, complemented
25	#83413	C₂	1	1	yes	maximal, characteristic, complemented
26	#83404	C₂	1	1	yes	maximal, characteristic, complemented
27	#82932	C₂	1	1	yes	maximal, characteristic, complemented
28	#82926	C₂	1	1	yes	maximal, characteristic, complemented
29	#82919	C₂	1	1	yes	maximal, characteristic, complemented
30	#82737	C₂	1	1	yes	maximal, characteristic, complemented
31	#82735	C₂	1	1	yes	maximal, characteristic, complemented
32	#61613	—	3	1	no	maximal, Sylow
33	C₂×#1009	C₂²	1	1	yes	characteristic
34	C₂²×#235	C₂²	1	1	yes	characteristic
35	C₃×#563	—	2	1	no	—
36	C₃×#562	—	2	1	no	—
37	C₃×#556	C₂²	1	1	yes	characteristic, complemented
38	C₃×#554	—	2	1	no	—
39	C₃×#554	C₂²	1	1	yes	characteristic, complemented
40	C₃×#553	—	2	1	no	—
41	C₃×#553	C₂²	1	1	yes	characteristic, complemented
42	C₃×#552	C₂²	1	1	yes	characteristic, complemented
43	C₃×D₄×Q₈	C₂²	1	1	yes	characteristic, complemented
44	C₃×#548	C₂²	1	1	yes	characteristic, complemented
45	C₃×#548	C₂²	1	1	yes	characteristic, complemented
46	C₃×#547	C₂²	1	1	yes	characteristic, complemented
47	C₃×#542	—	2	1	no	—
48	C₃×#542	C₂²	1	1	yes	characteristic, complemented
49	C₃×#541	C₂²	1	1	yes	characteristic, complemented
50	C₃×#539	—	2	1	no	—
51	C₃×#538	—	2	1	no	—
52	C₃×#538	—	2	1	no	—
53	C₃×#537	C₂²	1	1	yes	characteristic
54	C₃×#536	C₂²	1	1	yes	characteristic
55	C₃×#525	C₂²	1	1	yes	characteristic
56	C₃×#525	C₂²	1	1	yes	characteristic, complemented
57	C₂×C₃×C₂²⋊Q₈	C₂²	1	1	yes	characteristic, complemented
58	#5825	C₂²	1	1	yes	characteristic
59	C₂×#950	C₂²	1	1	yes	characteristic, complemented
60	C₂×#950	C₂²	1	1	yes	characteristic, complemented
61	C₂×#950	C₂²	1	1	yes	characteristic, complemented
62	C₂×#949	C₂²	1	1	yes	characteristic, complemented
63	C₂×#942	C₂²	1	1	yes	characteristic, complemented
64	C₂×#942	C₂²	1	1	yes	characteristic, complemented
65	C₂×#942	C₂²	1	1	yes	characteristic, complemented
66	C₂²×#215	C₂²	1	1	yes	characteristic, complemented
67	#5791	C₂²	1	1	yes	characteristic
68	D₃×#123	—	2	1	no	—
69	D₃×#123	—	2	1	no	—
70	#5631	—	2	1	no	—
71	#5631	—	2	1	no	—
72	#5612	—	2	1	no	—
73	#5612	—	2	1	no	—
74	#5589	—	2	1	no	—
75	#5589	—	2	1	no	—
76	#5551	C₂²	1	1	yes	characteristic
77	#5551	C₂²	1	1	yes	characteristic
78	#5551	C₂²	1	1	yes	characteristic
79	#5551	C₂²	1	1	yes	characteristic
80	#5550	C₂²	1	1	yes	characteristic
81	#5550	C₂²	1	1	yes	characteristic
82	#5550	C₂²	1	1	yes	characteristic
83	#5550	C₂²	1	1	yes	characteristic
84	#5526	C₂²	1	1	yes	characteristic
85	#5521	C₂²	1	1	yes	characteristic
86	#5239	C₂²	1	1	yes	characteristic, complemented
87	#5239	C₂²	1	1	yes	characteristic, complemented
88	#5239	C₂²	1	1	yes	characteristic, complemented
89	#5238	C₂²	1	1	yes	characteristic, complemented
90	#5234	C₂²	1	1	yes	characteristic
91	#5234	C₂²	1	1	yes	characteristic
92	#5228	C₂²	1	1	yes	characteristic, complemented
93	#5228	C₂²	1	1	yes	characteristic, complemented
94	#5228	C₂²	1	1	yes	characteristic, complemented
95	#5227	C₂²	1	1	yes	characteristic, complemented
96	#5207	C₂²	1	1	yes	characteristic, complemented
97	C₂×#830	C₂²	1	1	yes	characteristic, complemented
98	#5093	C₂²	1	1	yes	characteristic, complemented
99	#5092	C₂²	1	1	yes	characteristic, complemented
100	#5089	C₂²	1	1	yes	characteristic, complemented
101	#5087	C₂²	1	1	yes	characteristic, complemented
102	#5086	C₂²	1	1	yes	characteristic, complemented
103	#5084	C₂²	1	1	yes	characteristic, complemented
104	#5083	C₂²	1	1	yes	characteristic, complemented
105	#5083	C₂²	1	1	yes	characteristic, complemented
106	#5069	C₂²	1	1	yes	characteristic, complemented
107	#5068	C₂²	1	1	yes	characteristic, complemented
108	#5066	C₂²	1	1	yes	characteristic, complemented
109	#5066	C₂²	1	1	yes	characteristic, complemented
110	#5060	C₂²	1	1	yes	characteristic, complemented
111	#5059	C₂²	1	1	yes	characteristic, complemented
112	#5057	C₂²	1	1	yes	characteristic, complemented
113	#5057	C₂²	1	1	yes	characteristic, complemented
114	#5052	C₂²	1	1	yes	characteristic, complemented
115	#5052	C₂²	1	1	yes	characteristic, complemented
116	#5052	C₂²	1	1	yes	characteristic, complemented
117	#5052	C₂²	1	1	yes	characteristic, complemented
118	#5051	C₂²	1	1	yes	characteristic, complemented
119	#5051	C₂²	1	1	yes	characteristic, complemented
120	#5051	C₂²	1	1	yes	characteristic, complemented
121	#5051	C₂²	1	1	yes	characteristic, complemented
122	#5051	C₂²	1	1	yes	characteristic, complemented
123	#5050	C₂²	1	1	yes	characteristic, complemented
124	#5050	C₂²	1	1	yes	characteristic, complemented
125	#5050	C₂²	1	1	yes	characteristic, complemented
126	#5049	C₂²	1	1	yes	characteristic, complemented
127	#5048	C₂²	1	1	yes	characteristic, complemented
128	#5048	C₂²	1	1	yes	characteristic, complemented
129	#5047	C₂²	1	1	yes	characteristic
130	#5047	C₂²	1	1	yes	characteristic
131	#5047	C₂²	1	1	yes	characteristic
132	#5047	C₂²	1	1	yes	characteristic, complemented
133	#5047	C₂²	1	1	yes	characteristic, complemented
134	#5047	C₂²	1	1	yes	characteristic, complemented
135	#5047	C₂²	1	1	yes	characteristic, complemented
136	#5047	C₂²	1	1	yes	characteristic, complemented
137	#5047	C₂²	1	1	yes	characteristic, complemented
138	#5047	C₂²	1	1	yes	characteristic, complemented
139	#5047	C₂²	1	1	yes	characteristic, complemented
140	#5047	C₂²	1	1	yes	characteristic, complemented
141	#5046	C₂²	1	1	yes	characteristic
142	#5046	C₂²	1	1	yes	characteristic
143	#5046	C₂²	1	1	yes	characteristic
144	#5046	C₂²	1	1	yes	characteristic, complemented
145	#5046	C₂²	1	1	yes	characteristic, complemented
146	#5046	C₂²	1	1	yes	characteristic, complemented
147	#5045	C₂²	1	1	yes	characteristic, complemented
148	#5045	C₂²	1	1	yes	characteristic, complemented
149	#5045	C₂²	1	1	yes	characteristic, complemented
150	#5042	C₂²	1	1	yes	characteristic, complemented
151	#5042	C₂²	1	1	yes	characteristic, complemented
152	#5041	C₂²	1	1	yes	characteristic, complemented
153	#5040	C₂²	1	1	yes	characteristic, complemented
154	#5039	C₂²	1	1	yes	characteristic, complemented
155	#5037	C₂²	1	1	yes	characteristic
156	#5037	C₂²	1	1	yes	characteristic, complemented
157	#5037	C₂²	1	1	yes	characteristic, complemented
158	#5037	C₂²	1	1	yes	characteristic, complemented
159	#5036	C₂²	1	1	yes	characteristic
160	#5036	C₂²	1	1	yes	characteristic, complemented
161	#5035	C₂²	1	1	yes	characteristic, complemented
162	#5031	C₂²	1	1	yes	characteristic, complemented
163	#5031	C₂²	1	1	yes	characteristic, complemented
164	#5031	C₂²	1	1	yes	characteristic, complemented
165	#5028	C₂²	1	1	yes	characteristic, complemented
166	#5028	C₂²	1	1	yes	characteristic, complemented
167	#5028	C₂²	1	1	yes	characteristic, complemented
168	#5026	C₂²	1	1	yes	characteristic, complemented
169	#5026	C₂²	1	1	yes	characteristic, complemented
170	#5026	C₂²	1	1	yes	characteristic, complemented
171	C₄×#215	C₂²	1	1	yes	characteristic, complemented
172	C₄×#215	C₂²	1	1	yes	characteristic, complemented
173	C₄×#215	C₂²	1	1	yes	characteristic, complemented
174	#5019	C₂²	1	1	yes	characteristic, complemented
175	#5016	C₂²	1	1	yes	characteristic, complemented
176	#5014	C₂²	1	1	yes	characteristic, complemented
177	C₄×#213	C₂²	1	1	yes	characteristic, complemented
178	#5012	C₂²	1	1	yes	characteristic, complemented
179	#5012	C₂²	1	1	yes	characteristic, complemented
180	#5011	C₂²	1	1	yes	characteristic, complemented
181	#5011	C₂²	1	1	yes	characteristic, complemented
182	#5011	C₂²	1	1	yes	characteristic, complemented
183	#5011	C₂²	1	1	yes	characteristic, complemented
184	D₄×C₃⋊C₈	C₂²	1	1	yes	characteristic, complemented
185	D₄×C₃⋊C₈	C₂²	1	1	yes	characteristic, complemented
186	#5003	C₂²	1	1	yes	characteristic, complemented
187	#5002	C₂²	1	1	yes	characteristic, complemented
188	#5002	C₂²	1	1	yes	characteristic, complemented
189	#5002	C₂²	1	1	yes	characteristic, complemented
190	#5001	C₂²	1	1	yes	characteristic, complemented
191	#5000	C₂²	1	1	yes	characteristic, complemented
192	#5000	C₂²	1	1	yes	characteristic, complemented
193	#4996	C₂²	1	1	yes	characteristic, complemented
194	#4996	C₂²	1	1	yes	characteristic, complemented
195	#4996	C₂²	1	1	yes	characteristic, complemented
196	#4971	C₂²	1	1	yes	characteristic, complemented
197	#4971	C₂²	1	1	yes	characteristic, complemented
198	#4970	C₂²	1	1	yes	characteristic, complemented
199	#4967	C₂²	1	1	yes	characteristic, complemented
200	#4966	C₂²	1	1	yes	characteristic, complemented
201	#4966	C₂²	1	1	yes	characteristic, complemented
202	#4966	C₂²	1	1	yes	characteristic, complemented
203	C₂×#809	C₂²	1	1	yes	characteristic, complemented
204	#3541	D₃	1	1	yes	characteristic, complemented
205	#3485	—	3	1	no	—
206	#3331	—	3	1	no	—
207	#3322	—	3	1	no	—
208	#3315	—	3	1	no	—
209	#3314	—	3	1	no	—
210	#3311	—	3	1	no	—
211	#3307	—	3	1	no	—
212	#3302	—	3	1	no	—
213	#3296	—	3	1	no	—
214	#3283	—	3	1	no	—
215	#3282	—	3	1	no	—
216	#3276	—	3	1	no	—
217	#3275	—	3	1	no	—
218	#3269	—	3	1	no	—
219	#3269	—	3	1	no	—
220	#3267	—	3	1	no	—
221	#3266	—	3	1	no	—
222	#3225	—	3	1	no	—
223	#3223	—	3	1	no	—
224	#3202	—	3	1	no	—
225	#3201	—	3	1	no	—
226	#3197	—	3	1	no	—
227	#3190	—	3	1	no	—
228	#3123	—	3	1	no	—
229	#3118	—	3	1	no	—
230	#3012	—	3	1	no	—
231	#3009	—	3	1	no	—
232	#3007	—	3	1	no	—
233	#3002	—	3	1	no	—
234	#2976	—	3	1	no	—
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	C₂²×C₃×Q₈	C₂³	1	1	yes	characteristic
239	C₂²×C₃×Q₈	C₂³	1	1	yes	characteristic
240	C₂³×C₃×C₄	C₂³	1	1	yes	characteristic
241	C₂²×#67	—	2	1	no	—
242	#1009	—	4	2	no	—
243	#1009	—	4	2	no	—
244	C₂×#239	—	2	1	no	—
245	C₂×D₃×D₄	—	2	1	no	—
246	C₂×D₃×D₄	—	2	1	no	—
247	C₂×D₃×D₄	—	2	1	no	—
248	C₂×#235	—	2	1	no	—
249	C₂×#235	—	2	1	no	—
250	C₂×#235	—	4	2	no	—
251	C₂×#235	—	4	2	no	—
252	C₂×#235	C₂³	1	1	yes	characteristic
253	C₂×#235	C₂³	1	1	yes	characteristic
254	C₂×#235	C₂³	1	1	yes	characteristic
255	C₂×#235	C₂³	1	1	yes	characteristic
256	C₂×#235	C₂³	1	1	yes	characteristic
257	C₂×#235	C₂³	1	1	yes	characteristic
258	C₂×#235	C₂³	1	1	yes	characteristic
259	C₂²×D₁₂	C₂³	1	1	yes	characteristic
260	C₂²×D₁₂	C₂³	1	1	yes	characteristic
261	C₂²×D₁₂	C₂³	1	1	yes	characteristic
262	C₂²×C₄×D₃	—	2	1	no	—
263	C₂²×Dic₆	C₂³	1	1	yes	characteristic
264	C₃×C₄⋊Q₈	—	2	1	no	—
265	C₃×C₄⋊Q₈	—	2	1	no	—
266	C₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
267	C₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
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×#125	—	2	1	no	—
276	C₃×#125	—	2	1	no	—
277	C₃×#125	—	2	1	no	—
278	C₃×#125	—	2	1	no	—
279	C₃×#125	C₂³	1	1	yes	characteristic
280	C₃×#124	—	2	1	no	—
281	C₃×#124	—	2	1	no	—
282	C₃×#124	—	2	1	no	—
283	C₃×#124	—	2	1	no	—
284	C₃×#124	—	2	1	no	—
285	C₃×#124	C₂³	1	1	yes	characteristic
286	C₃×#123	—	2	1	no	—
287	C₃×#123	—	2	1	no	—
288	C₃×#123	—	2	1	no	—
289	C₃×#123	—	2	1	no	—
290	C₃×#123	—	2	1	no	—
291	C₃×#123	—	2	1	no	—
292	C₃×#123	—	2	1	no	—
293	C₃×#123	—	2	1	no	—
294	C₃×#123	D₄	1	1	yes	characteristic
295	C₃×#123	D₄	1	1	yes	characteristic
296	C₃×C₂²⋊Q₈	—	2	1	no	—
297	C₃×C₂²⋊Q₈	—	2	1	no	—
298	C₃×C₂²⋊Q₈	—	2	1	no	—
299	C₃×C₂²⋊Q₈	—	2	1	no	—
300	C₃×C₂²⋊Q₈	—	2	1	no	—
301	C₃×C₂²⋊Q₈	—	2	1	no	—
302	C₃×C₂²⋊Q₈	—	2	1	no	—
303	C₃×C₂²⋊Q₈	—	2	1	no	—
304	C₃×C₂²⋊Q₈	—	2	1	no	—
305	C₃×C₂²⋊Q₈	—	2	1	no	—
306	C₃×C₂²⋊Q₈	D₄	1	1	yes	characteristic
307	C₃×C₂²⋊Q₈	D₄	1	1	yes	characteristic
308	C₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
309	C₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
310	C₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
311	C₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
312	C₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
313	C₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
314	C₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
315	C₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
316	C₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
317	C₃×#121	—	2	1	no	—
318	C₃×#121	—	2	1	no	—
319	C₃×#121	—	2	1	no	—
320	C₃×#121	—	2	1	no	—
321	C₃×#121	—	2	1	no	—
322	C₃×#121	—	2	1	no	—
323	C₃×#121	—	2	1	no	—
324	C₃×#121	D₄	1	1	yes	characteristic
325	C₃×#121	D₄	1	1	yes	characteristic
326	C₃×#121	C₂³	1	1	yes	characteristic
327	C₃×#121	C₂³	1	1	yes	characteristic
328	C₃×#121	C₂³	1	1	yes	characteristic
329	C₃×#120	—	2	1	no	—
330	C₃×#120	D₄	1	1	yes	characteristic
331	C₃×#120	D₄	1	1	yes	characteristic
332	C₃×C₄×Q₈	—	2	1	no	—
333	C₃×C₄×Q₈	C₂³	1	1	yes	characteristic
334	C₃×C₄×Q₈	C₂³	1	1	yes	characteristic
335	C₃×C₄×Q₈	C₂³	1	1	yes	characteristic
336	C₃×C₄×D₄	—	2	1	no	—
337	C₃×C₄×D₄	—	2	1	no	—
338	C₃×C₄×D₄	—	2	1	no	—
339	C₃×C₄×D₄	—	2	1	no	—
340	C₃×C₄×D₄	—	2	1	no	—
341	C₃×C₄×D₄	—	2	1	no	—
342	C₃×C₄×D₄	—	2	1	no	—
343	C₃×C₄×D₄	C₂³	1	1	yes	characteristic
344	C₃×C₄×D₄	C₂³	1	1	yes	characteristic
345	C₃×C₄×D₄	C₂³	1	1	yes	characteristic
346	C₃×C₄×D₄	C₂³	1	1	yes	characteristic
347	C₃×C₄×D₄	C₂³	1	1	yes	characteristic
348	C₃×#117	—	2	1	no	—
349	C₃×#117	C₂³	1	1	yes	characteristic
350	C₃×#117	C₂³	1	1	yes	characteristic
351	C₃×#117	C₂³	1	1	yes	characteristic
352	C₂×C₃×C₄⋊C₄	—	2	1	no	—
353	C₂×C₃×C₄⋊C₄	—	2	1	no	—
354	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
355	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
356	C₂×C₃×C₂²⋊C₄	—	2	1	no	—
357	#953	—	2	1	no	—
358	#950	—	4	2	no	—
359	#950	—	4	2	no	—
360	#950	—	4	2	no	—
361	#949	—	4	2	no	—
362	#944	—	2	1	no	—
363	C₂×#216	C₂³	1	1	yes	characteristic
364	C₂×#216	C₂³	1	1	yes	characteristic
365	C₂×#216	C₂³	1	1	yes	characteristic
366	C₂×#216	C₂³	1	1	yes	characteristic
367	C₂×#216	C₂³	1	1	yes	characteristic
368	C₂×#216	C₂³	1	1	yes	characteristic
369	C₂×#216	C₂³	1	1	yes	characteristic
370	C₂×#216	C₂³	1	1	yes	characteristic
371	C₂×#216	C₂³	1	1	yes	characteristic
372	#942	—	4	2	no	—
373	#942	—	4	2	no	—
374	#942	—	4	2	no	—
375	C₂×#215	—	4	2	no	—
376	C₂×#215	C₂³	1	1	yes	characteristic
377	C₂×#215	C₂³	1	1	yes	characteristic
378	C₂×#215	C₂³	1	1	yes	characteristic
379	C₂×#215	C₂³	1	1	yes	characteristic
380	C₂×#215	C₂³	1	1	yes	characteristic
381	C₂×#215	C₂³	1	1	yes	characteristic
382	C₂×#215	C₂³	1	1	yes	characteristic
383	C₂×#215	C₂³	1	1	yes	characteristic
384	C₂×#215	C₂³	1	1	yes	characteristic
385	#938	—	2	1	no	—
386	#938	—	2	1	no	—
387	#938	—	2	1	no	—
388	#938	—	2	1	no	—
389	#937	—	2	1	no	—
390	#937	—	2	1	no	—
391	#937	—	2	1	no	—
392	#937	—	2	1	no	—
393	#936	—	2	1	no	—
394	#935	—	2	1	no	—
395	#935	—	2	1	no	—
396	C₂×#214	C₂³	1	1	yes	characteristic
397	C₂×#214	C₂³	1	1	yes	characteristic
398	C₂×#214	C₂³	1	1	yes	characteristic
399	C₂×#213	C₂³	1	1	yes	characteristic
400	C₂×#213	C₂³	1	1	yes	characteristic
401	C₂×#213	C₂³	1	1	yes	characteristic
402	#930	C₂³	1	1	yes	characteristic
403	#930	C₂³	1	1	yes	characteristic
404	#929	—	2	1	no	—
405	C₄×#67	—	2	1	no	—
406	C₄×#67	—	2	1	no	—
407	#926	C₂³	1	1	yes	characteristic
408	#924	C₂³	1	1	yes	characteristic
409	#924	C₂³	1	1	yes	characteristic
410	#924	C₂³	1	1	yes	characteristic
411	#924	C₂³	1	1	yes	characteristic
412	#924	C₂³	1	1	yes	characteristic
413	#924	C₂³	1	1	yes	characteristic
414	C₂×#208	C₂³	1	1	yes	characteristic
415	C₂×#208	C₂³	1	1	yes	characteristic
416	C₂×#208	C₂³	1	1	yes	characteristic
417	C₂×#208	C₂³	1	1	yes	characteristic
418	C₂²×C₃⋊C₈	C₂³	1	1	yes	characteristic
419	C₂²×C₃⋊C₈	C₂³	1	1	yes	characteristic
420	C₂²×C₃⋊C₈	C₂³	1	1	yes	characteristic
421	C₂²×C₃⋊C₈	C₂³	1	1	yes	characteristic
422	#897	—	2	1	no	—
423	#897	—	2	1	no	—
424	#894	—	2	1	no	—
425	#894	—	2	1	no	—
426	#894	—	2	1	no	—
427	#894	—	2	1	no	—
428	#893	—	2	1	no	—
429	#893	—	2	1	no	—
430	D₃×C₄⋊C₄	—	2	1	no	—
431	D₃×C₄⋊C₄	—	2	1	no	—
432	D₃×C₄⋊C₄	—	2	1	no	—
433	D₃×C₄⋊C₄	—	2	1	no	—
434	#886	—	2	1	no	—
435	#886	—	2	1	no	—
436	#884	—	2	1	no	—
437	#884	—	2	1	no	—
438	#884	—	2	1	no	—
439	#884	—	2	1	no	—
440	#883	—	2	1	no	—
441	#883	—	2	1	no	—
442	#883	—	2	1	no	—
443	#883	—	2	1	no	—
444	#883	—	2	1	no	—
445	#883	—	2	1	no	—
446	#883	—	2	1	no	—
447	#883	—	2	1	no	—
448	D₃×C₂²⋊C₄	—	2	1	no	—
449	D₃×C₂²⋊C₄	—	2	1	no	—
450	D₃×C₂²⋊C₄	—	2	1	no	—
451	D₃×C₂²⋊C₄	—	2	1	no	—
452	D₃×C₂²⋊C₄	—	2	1	no	—
453	D₃×C₂²⋊C₄	—	2	1	no	—
454	#875	C₂³	1	1	yes	characteristic
455	#875	C₂³	1	1	yes	characteristic
456	C₄×D₁₂	C₂³	1	1	yes	characteristic
457	C₄×D₁₂	C₂³	1	1	yes	characteristic
458	C₄×D₁₂	C₂³	1	1	yes	characteristic
459	C₄×D₁₂	C₂³	1	1	yes	characteristic
460	#869	C₂³	1	1	yes	characteristic
461	#869	C₂³	1	1	yes	characteristic
462	#835	C₂³	1	1	yes	characteristic
463	#835	C₂³	1	1	yes	characteristic
464	#835	C₂³	1	1	yes	characteristic
465	#835	C₂³	1	1	yes	characteristic
466	#835	C₂³	1	1	yes	characteristic
467	#835	C₂³	1	1	yes	characteristic
468	#832	C₂³	1	1	yes	characteristic
469	#832	C₂³	1	1	yes	characteristic
470	#830	C₂³	1	1	yes	characteristic
471	#830	C₂³	1	1	yes	characteristic
472	#830	C₂³	1	1	yes	characteristic
473	#830	C₂³	1	1	yes	characteristic
474	#830	C₂³	1	1	yes	characteristic
475	#830	C₂³	1	1	yes	characteristic
476	#830	C₂³	1	1	yes	characteristic
477	#830	C₂³	1	1	yes	characteristic
478	#830	C₂³	1	1	yes	characteristic
479	#830	C₂³	1	1	yes	characteristic
480	#830	C₂³	1	1	yes	characteristic
481	#830	C₂³	1	1	yes	characteristic
482	#810	C₂³	1	1	yes	characteristic
483	#810	C₂³	1	1	yes	characteristic
484	#810	C₂³	1	1	yes	characteristic
485	#810	C₂³	1	1	yes	characteristic
486	#810	C₂³	1	1	yes	characteristic
487	#810	C₂³	1	1	yes	characteristic
488	#810	C₂³	1	1	yes	characteristic
489	#810	C₂³	1	1	yes	characteristic
490	#810	C₂³	1	1	yes	characteristic
491	#810	C₂³	1	1	yes	characteristic
492	#810	C₂³	1	1	yes	characteristic
493	#810	C₂³	1	1	yes	characteristic
494	#809	C₂³	1	1	yes	characteristic
495	#809	C₂³	1	1	yes	characteristic
496	#809	C₂³	1	1	yes	characteristic
497	#809	C₂³	1	1	yes	characteristic
498	#809	C₂³	1	1	yes	characteristic
499	#809	C₂³	1	1	yes	characteristic
500	#809	C₂³	1	1	yes	characteristic
501	#809	C₂³	1	1	yes	characteristic
502	#809	C₂³	1	1	yes	characteristic
503	#809	C₂³	1	1	yes	characteristic
504	#809	C₂³	1	1	yes	characteristic
505	#809	C₂³	1	1	yes	characteristic
506	#808	C₂³	1	1	yes	characteristic
507	#808	C₂³	1	1	yes	characteristic
508	#808	C₂³	1	1	yes	characteristic
509	#808	C₂³	1	1	yes	characteristic
510	#807	C₂³	1	1	yes	characteristic
511	#807	C₂³	1	1	yes	characteristic
512	#807	C₂³	1	1	yes	characteristic
513	#807	C₂³	1	1	yes	characteristic
514	C₄⋊(C₃⋊C₈)	C₂³	1	1	yes	characteristic
515	C₄⋊(C₃⋊C₈)	C₂³	1	1	yes	characteristic
516	C₄⋊(C₃⋊C₈)	C₂³	1	1	yes	characteristic
517	C₄⋊(C₃⋊C₈)	C₂³	1	1	yes	characteristic
518	#803	C₂³	1	1	yes	characteristic
519	#803	C₂³	1	1	yes	characteristic
520	C₄×C₃⋊C₈	C₂³	1	1	yes	characteristic
521	C₄×C₃⋊C₈	C₂³	1	1	yes	characteristic
522	C₂×H(5,𝔽₂)	—	3	1	no	—
523	C₂²×#41	—	3	1	no	—
524	C₂×#137	—	3	1	no	—
525	C₂×#137	—	3	1	no	—
526	C₂×#137	—	3	1	no	—
527	C₂×AGL(1,ℤ/8)	—	3	1	no	—
528	C₂×#135	—	3	1	no	—
529	C₂×#135	—	3	1	no	—
530	C₂×#135	—	3	1	no	—
531	C₂²×SD₁₆	—	3	1	no	—
532	#563	—	2	1	no	—
533	#562	—	2	1	no	—
534	#556	C₂×D₃	1	1	yes	characteristic, complemented
535	#554	—	2	1	no	—
536	#554	C₂×D₃	1	1	yes	characteristic, complemented
537	#553	—	2	1	no	—
538	#553	C₂×D₃	1	1	yes	characteristic, complemented
539	#552	C₂×D₃	1	1	yes	characteristic, complemented
540	D₄×Q₈	C₂×D₃	1	1	yes	characteristic, complemented
541	#548	C₂×D₃	1	1	yes	characteristic, complemented
542	#548	C₂×D₃	1	1	yes	characteristic, complemented
543	#547	—	3	1	no	—
544	#547	—	3	1	no	—
545	#547	—	3	1	no	—
546	#547	—	3	1	no	—
547	#547	—	6	1	no	—
548	#547	—	6	1	no	—
549	#547	C₂×D₃	1	1	yes	characteristic, complemented
550	#546	—	3	1	no	—
551	#546	—	3	1	no	—
552	#546	—	3	1	no	—
553	#546	—	3	1	no	—
554	#546	—	6	1	no	—
555	#546	—	6	1	no	—
556	#542	—	2	1	no	—
557	#542	C₂×D₃	1	1	yes	characteristic, complemented
558	#541	C₂×D₃	1	1	yes	characteristic, complemented
559	#539	—	2	1	no	—
560	#538	—	2	1	no	—
561	#538	—	2	1	no	—
562	#537	C₂×D₃	1	1	yes	characteristic
563	#536	—	3	1	no	—
564	#536	—	3	1	no	—
565	#536	C₂×D₃	1	1	yes	characteristic
566	#534	—	6	1	no	—
567	#534	—	6	1	no	—
568	#525	—	3	1	no	—
569	#525	C₂×D₃	1	1	yes	characteristic
570	#525	C₂×D₃	1	1	yes	characteristic, complemented
571	C₂×#123	—	6	1	no	—
572	C₂×#123	—	6	1	no	—
573	C₂×C₂²⋊Q₈	C₂×D₃	1	1	yes	characteristic, complemented
574	#518	—	3	1	no	—
575	#497	—	3	1	no	—
576	#497	—	3	1	no	—
577	#495	—	3	1	no	—
578	#494	—	3	1	no	—
579	#491	—	3	1	no	—
580	#489	—	3	1	no	—
581	#488	—	3	1	no	—
582	#487	—	3	1	no	—
583	#485	—	3	1	no	—
584	#485	—	3	1	no	—
585	#485	—	3	1	no	—
586	#485	—	3	1	no	—
587	#485	—	3	1	no	—
588	#485	—	3	1	no	—
589	#484	—	3	1	no	—
590	#483	—	3	1	no	—
591	#483	—	3	1	no	—
592	#482	—	3	1	no	—
593	#482	—	3	1	no	—
594	#480	—	3	1	no	—
595	#478	—	3	1	no	—
596	#478	—	3	1	no	—
597	#476	—	3	1	no	—
598	#474	—	3	1	no	—
599	#470	—	3	1	no	—
600	#470	—	3	1	no	—
601	#470	—	3	1	no	—
602	#470	—	3	1	no	—
603	#469	—	3	1	no	—
604	#468	—	3	1	no	—
605	#468	—	3	1	no	—
606	#468	—	3	1	no	—
607	#467	—	3	1	no	—
608	#467	—	3	1	no	—
609	#467	—	3	1	no	—
610	#467	—	3	1	no	—
611	#467	—	3	1	no	—
612	#465	—	3	1	no	—
613	#465	—	3	1	no	—
614	#465	—	3	1	no	—
615	#464	—	3	1	no	—
616	#464	—	3	1	no	—
617	#464	—	3	1	no	—
618	#463	—	3	1	no	—
619	#463	—	3	1	no	—
620	#463	—	3	1	no	—
621	#462	—	3	1	no	—
622	#462	—	3	1	no	—
623	#462	—	3	1	no	—
624	#461	—	3	1	no	—
625	#461	—	3	1	no	—
626	#461	—	3	1	no	—
627	#452	—	3	1	no	—
628	#452	—	3	1	no	—
629	#452	—	3	1	no	—
630	#452	—	3	1	no	—
631	#452	—	3	1	no	—
632	#452	—	3	1	no	—
633	#452	—	3	1	no	—
634	#452	—	3	1	no	—
635	#452	—	3	1	no	—
636	#452	—	3	1	no	—
637	#452	—	3	1	no	—
638	#452	—	3	1	no	—
639	#452	—	3	1	no	—
640	#452	—	3	1	no	—
641	#452	—	3	1	no	—
642	#451	—	3	1	no	—
643	#451	—	3	1	no	—
644	#451	—	3	1	no	—
645	#451	—	3	1	no	—
646	#451	—	3	1	no	—
647	#451	—	3	1	no	—
648	#450	—	3	1	no	—
649	#450	—	3	1	no	—
650	#450	—	3	1	no	—
651	#450	—	3	1	no	—
652	#450	—	3	1	no	—
653	#450	—	3	1	no	—
654	#449	—	3	1	no	—
655	#449	—	3	1	no	—
656	#449	—	3	1	no	—
657	#449	—	3	1	no	—
658	#449	—	3	1	no	—
659	#448	—	3	1	no	—
660	#448	—	3	1	no	—
661	#447	—	3	1	no	—
662	#447	—	3	1	no	—
663	#442	—	3	1	no	—
664	#440	—	3	1	no	—
665	#440	—	3	1	no	—
666	#440	—	3	1	no	—
667	C₄×SD₁₆	—	3	1	no	—
668	C₄×SD₁₆	—	3	1	no	—
669	C₄×SD₁₆	—	3	1	no	—
670	C₄×D₈	—	3	1	no	—
671	#436	—	3	1	no	—
672	#436	—	3	1	no	—
673	#435	—	3	1	no	—
674	#435	—	3	1	no	—
675	#435	—	3	1	no	—
676	#435	—	3	1	no	—
677	C₈×D₄	—	3	1	no	—
678	C₈×D₄	—	3	1	no	—
679	#433	—	3	1	no	—
680	#433	—	3	1	no	—
681	#418	—	3	1	no	—
682	#417	—	3	1	no	—
683	#417	—	3	1	no	—
684	#417	—	3	1	no	—
685	#416	—	3	1	no	—
686	#416	—	3	1	no	—
687	#416	—	3	1	no	—
688	C₂×#102	—	3	1	no	—
689	#408	—	3	1	no	—
690	#408	—	3	1	no	—
691	#407	—	3	1	no	—
692	C₂×C₂²⋊C₈	—	3	1	no	—
693	C₂⁴×C₃	C₂×D₄	1	1	yes	characteristic
694	C₂³×D₃	—	2	1	no	—
695	C₂³×D₃	—	2	1	no	—
696	C₂³×D₃	—	2	1	no	—
697	C₃×#41	—	4	1	no	—
698	C₃×#41	—	4	1	no	—
699	C₃×#41	—	4	1	no	—
700	C₃×#41	—	4	1	no	—
701	C₃×#41	—	4	1	no	—
702	C₃×#41	—	4	1	no	—
703	C₂×C₃×Q₈	—	2	1	no	—
704	C₂×C₃×Q₈	—	2	1	no	—
705	C₂×C₃×Q₈	—	2	1	no	—
706	C₂×C₃×Q₈	—	4	1	no	—
707	C₂×C₃×Q₈	—	4	1	no	—
708	C₂×C₃×Q₈	—	4	1	no	—
709	C₂×C₃×Q₈	—	4	1	no	—
710	C₂×C₃×Q₈	C₂×D₄	1	1	yes	characteristic
711	C₂×C₃×Q₈	C₂⁴	1	1	yes	characteristic
712	C₂×C₃×Q₈	C₂⁴	1	1	yes	characteristic
713	C₂×C₃×Q₈	C₂⁴	1	1	yes	characteristic
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	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	C₂²×C₃×C₄	—	2	1	no	—
728	C₂²×C₃×C₄	—	2	1	no	—
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	—	4	1	no	—
735	C₂²×C₃×C₄	—	4	1	no	—
736	C₂²×C₃×C₄	C₂×D₄	1	1	yes	characteristic
737	C₂²×C₃×C₄	C₂×D₄	1	1	yes	characteristic
738	C₂²×C₃×C₄	C₂×D₄	1	1	yes	characteristic
739	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
740	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
741	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
742	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
743	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
744	C₂×#67	—	2	1	no	—
745	C₂×#67	—	2	1	no	—
746	C₂×#67	—	2	1	no	—
747	C₂×#67	—	2	1	no	—
748	C₂×#67	—	2	1	no	—
749	C₂×#67	—	2	1	no	—
750	C₂×#67	—	2	1	no	—
751	C₂×#67	—	2	1	no	—
752	C₂×#67	—	2	1	no	—
753	C₂×#67	—	4	4	no	—
754	C₂²×Dic₃	—	2	1	no	—
755	#239	—	4	4	no	—
756	D₃×D₄	—	4	4	no	—
757	D₃×D₄	—	4	4	no	—
758	D₃×D₄	—	4	4	no	—
759	#235	—	2	2	no	—
760	#235	—	2	2	no	—
761	#235	—	2	2	no	—
762	#235	—	2	2	no	—
763	#235	—	2	2	no	—
764	#235	—	2	2	no	—
765	#235	—	4	1	no	—
766	#235	—	4	1	no	—
767	#235	—	4	1	no	—
768	#235	—	4	1	no	—
769	#235	—	4	1	no	—
770	#235	—	4	1	no	—
771	#235	—	4	1	no	—
772	#235	—	4	1	no	—
773	#235	—	4	4	no	—
774	#235	—	4	4	no	—
775	C₂×D₁₂	—	2	1	no	—
776	C₂×D₁₂	—	2	2	no	—
777	C₂×D₁₂	—	2	2	no	—
778	C₂×D₁₂	—	2	2	no	—
779	C₂×D₁₂	—	2	2	no	—
780	C₂×D₁₂	—	2	1	no	—
781	C₂×D₁₂	—	2	1	no	—
782	C₂×D₁₂	—	4	1	no	—
783	C₂×D₁₂	—	4	1	no	—
784	C₂×D₁₂	C₂⁴	1	1	yes	characteristic
785	C₂×D₁₂	C₂⁴	1	1	yes	characteristic
786	C₂×D₁₂	C₂⁴	1	1	yes	characteristic
787	C₂×C₄×D₃	—	2	1	no	—
788	C₂×C₄×D₃	—	2	1	no	—
789	C₂×C₄×D₃	—	2	1	no	—
790	C₂×C₄×D₃	—	2	1	no	—
791	C₂×C₄×D₃	—	2	1	no	—
792	C₂×C₄×D₃	—	2	1	no	—
793	C₂×C₄×D₃	—	2	1	no	—
794	C₂×C₄×D₃	—	2	1	no	—
795	C₂×C₄×D₃	—	2	1	no	—
796	C₂×C₄×D₃	—	2	1	no	—
797	C₂×C₄×D₃	—	2	1	no	—
798	C₂×C₄×D₃	—	4	4	no	—
799	C₂×Dic₆	—	2	1	no	—
800	C₂×Dic₆	—	4	1	no	—
801	C₂×Dic₆	—	4	1	no	—
802	C₂×Dic₆	C₂⁴	1	1	yes	characteristic
803	C₂×Dic₆	C₂⁴	1	1	yes	characteristic
804	C₂×Dic₆	C₂⁴	1	1	yes	characteristic
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	—	2	1	no	—
814	C₃×C₄⋊C₄	—	2	1	no	—
815	C₃×C₄⋊C₄	—	2	1	no	—
816	C₃×C₄⋊C₄	—	2	1	no	—
817	C₃×C₄⋊C₄	—	2	1	no	—
818	C₃×C₄⋊C₄	—	2	1	no	—
819	C₃×C₄⋊C₄	—	2	1	no	—
820	C₃×C₄⋊C₄	—	2	1	no	—
821	C₃×C₄⋊C₄	—	2	1	no	—
822	C₃×C₄⋊C₄	—	2	1	no	—
823	C₃×C₄⋊C₄	—	2	1	no	—
824	C₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
825	C₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
826	C₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
827	C₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
828	C₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
829	C₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
830	C₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
831	C₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
832	C₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
833	C₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
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	C₂×D₄	1	1	yes	characteristic
852	C₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
853	C₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
854	C₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
855	C₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
856	C₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
857	C₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
858	C₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
859	C₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
860	C₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
861	C₃×C₄²	—	2	1	no	—
862	C₃×C₄²	—	2	1	no	—
863	C₃×C₄²	—	2	1	no	—
864	C₃×C₄²	—	2	1	no	—
865	C₃×C₄²	—	2	1	no	—
866	C₃×C₄²	C₂⁴	1	1	yes	characteristic
867	C₃×C₄²	C₂⁴	1	1	yes	characteristic
868	#217	—	2	1	no	—
869	#217	—	2	1	no	—
870	#217	—	2	1	no	—
871	#217	—	2	1	no	—
872	#217	—	2	1	no	—
873	#217	—	2	1	no	—
874	#217	—	2	1	no	—
875	#216	—	4	1	no	—
876	#216	—	4	1	no	—
877	#216	—	4	1	no	—
878	#216	—	4	1	no	—
879	#216	—	4	1	no	—
880	#216	—	4	1	no	—
881	#216	—	4	1	no	—
882	#216	—	4	1	no	—
883	#216	—	4	1	no	—
884	#215	—	2	2	no	—
885	#215	—	2	2	no	—
886	#215	—	2	2	no	—
887	#215	—	2	2	no	—
888	#215	—	2	2	no	—
889	#215	—	2	2	no	—
890	#215	—	4	1	no	—
891	#215	—	4	1	no	—
892	#215	—	4	1	no	—
893	#214	—	4	1	no	—
894	#214	—	4	1	no	—
895	#214	—	4	1	no	—
896	#213	—	2	2	no	—
897	#213	—	2	2	no	—
898	#213	—	4	1	no	—
899	(C₂×D₃)⋊C₄	—	2	1	no	—
900	(C₂×D₃)⋊C₄	—	2	1	no	—
901	(C₂×D₃)⋊C₄	—	2	1	no	—
902	(C₂×D₃)⋊C₄	—	2	1	no	—
903	(C₂×D₃)⋊C₄	—	2	1	no	—
904	(C₂×D₃)⋊C₄	—	2	1	no	—
905	(C₂×D₃)⋊C₄	—	2	1	no	—
906	(C₂×D₃)⋊C₄	—	2	1	no	—
907	(C₂×D₃)⋊C₄	—	2	1	no	—
908	(C₂×D₃)⋊C₄	—	2	1	no	—
909	C₄⋊Dic₃	—	2	1	no	—
910	C₄⋊Dic₃	—	2	1	no	—
911	C₄⋊Dic₃	—	2	1	no	—
912	C₄⋊Dic₃	—	2	1	no	—
913	C₄⋊Dic₃	C₂⁴	1	1	yes	characteristic
914	C₄⋊Dic₃	C₂⁴	1	1	yes	characteristic
915	Dic₃⋊C₄	—	2	1	no	—
916	Dic₃⋊C₄	—	2	1	no	—
917	Dic₃⋊C₄	—	2	1	no	—
918	Dic₃⋊C₄	—	2	1	no	—
919	Dic₃⋊C₄	—	2	1	no	—
920	Dic₃⋊C₄	—	2	1	no	—
921	C₄×Dic₃	—	2	1	no	—
922	#208	—	4	1	no	—
923	#208	—	4	1	no	—
924	#208	—	4	1	no	—
925	#208	—	4	1	no	—
926	C₂×C₃⋊C₈	—	4	1	no	—
927	C₂×C₃⋊C₈	—	4	1	no	—
928	C₂×C₃⋊C₈	—	4	1	no	—
929	C₂×C₃⋊C₈	—	4	1	no	—
930	C₂×C₃⋊C₈	C₂⁴	1	1	yes	characteristic
931	C₂×C₃⋊C₈	C₂⁴	1	1	yes	characteristic
932	C₂×C₃⋊C₈	C₂⁴	1	1	yes	characteristic
933	C₂×C₃⋊C₈	C₂⁴	1	1	yes	characteristic
934	C₂×C₃⋊C₈	C₂⁴	1	1	yes	characteristic
935	C₂×C₃⋊C₈	C₂⁴	1	1	yes	characteristic
936	C₂×C₃⋊C₈	C₂⁴	1	1	yes	characteristic
937	C₂×C₃⋊C₈	C₂⁴	1	1	yes	characteristic
938	H(5,𝔽₂)	—	12	2	no	—
939	H(5,𝔽₂)	—	12	2	no	—
940	C₂×#41	—	3	1	no	—
941	C₂×#41	—	3	1	no	—
942	C₂×#41	—	3	1	no	—
943	C₂×#41	—	3	1	no	—
944	C₂×#41	—	3	1	no	—
945	C₂×#41	—	3	1	no	—
946	C₂×#41	—	3	1	no	—
947	C₂×#41	—	6	1	no	—
948	C₂×#41	—	6	1	no	—
949	C₂×#41	—	6	1	no	—
950	C₂×#41	—	12	2	no	—
951	C₂×#41	—	12	2	no	—
952	C₂×#41	C₂²×D₃	1	1	yes	characteristic
953	C₂×#41	C₂²×D₃	1	1	yes	characteristic
954	C₂×#41	C₂²×D₃	1	1	yes	characteristic
955	C₂²×Q₈	—	3	1	no	—
956	C₂²×Q₈	C₂²×D₃	1	1	yes	characteristic
957	C₂²×Q₈	C₂²×D₃	1	1	yes	characteristic
958	C₂²×D₄	—	3	1	no	—
959	C₂²×D₄	—	3	1	no	—
960	C₂²×D₄	—	3	1	no	—
961	C₂²×D₄	—	6	1	no	—
962	C₂²×D₄	—	6	1	no	—
963	C₂²×D₄	—	6	1	no	—
964	C₂²×D₄	—	6	1	no	—
965	C₂³×C₄	—	6	1	no	—
966	C₂³×C₄	C₂²×D₃	1	1	yes	characteristic
967	#137	—	12	2	no	—
968	#137	—	12	2	no	—
969	#137	—	12	2	no	—
970	AGL(1,ℤ/8)	—	12	2	no	—
971	#135	—	12	2	no	—
972	#135	—	12	2	no	—
973	#135	—	12	2	no	—
974	C₂×Q₁₆	—	3	1	no	—
975	C₂×Q₁₆	—	3	1	no	—
976	C₂×Q₁₆	—	3	1	no	—
977	C₂×Q₁₆	—	3	1	no	—
978	C₂×Q₁₆	—	3	1	no	—
979	C₂×Q₁₆	—	3	1	no	—
980	C₂×Q₁₆	—	3	1	no	—
981	C₂×Q₁₆	—	3	1	no	—
982	C₂×Q₁₆	—	3	1	no	—
983	C₂×SD₁₆	—	3	1	no	—
984	C₂×SD₁₆	—	3	1	no	—
985	C₂×SD₁₆	—	3	1	no	—
986	C₂×SD₁₆	—	3	1	no	—
987	C₂×SD₁₆	—	3	1	no	—
988	C₂×SD₁₆	—	3	1	no	—
989	C₂×SD₁₆	—	3	1	no	—
990	C₂×SD₁₆	—	3	1	no	—
991	C₂×SD₁₆	—	3	1	no	—
992	C₂×SD₁₆	—	3	1	no	—
993	C₂×SD₁₆	—	3	1	no	—
994	C₂×SD₁₆	—	3	1	no	—
995	C₂×SD₁₆	—	12	2	no	—
996	C₂×D₈	—	3	1	no	—
997	C₂×D₈	—	3	1	no	—
998	C₂×D₈	—	3	1	no	—
999	C₂×M₁₆	—	3	1	no	—
1000	C₂×M₁₆	—	3	1	no	—
1001	C₂×M₁₆	—	3	1	no	—
1002	C₂×M₁₆	—	3	1	no	—
1003	C₂²×C₈	—	3	1	no	—
1004	C₂²×C₈	—	3	1	no	—
1005	C₂²×C₈	—	3	1	no	—
1006	C₂²×C₈	—	3	1	no	—
1007	C₄⋊Q₈	—	2	1	no	—
1008	C₄⋊Q₈	—	2	1	no	—
1009	C₄⋊Q₈	—	3	1	no	—
1010	C₄⋊Q₈	—	3	1	no	—
1011	C₄⋊Q₈	—	6	1	no	—
1012	C₄⋊Q₈	C₂²×D₃	1	1	yes	characteristic
1013	C₄⋊Q₈	C₂²×D₃	1	1	yes	characteristic
1014	#126	—	2	1	no	—
1015	#126	—	2	1	no	—
1016	#126	—	2	1	no	—
1017	#126	—	2	1	no	—
1018	#126	—	2	1	no	—
1019	#126	—	2	1	no	—
1020	#126	—	2	1	no	—
1021	#125	—	2	1	no	—
1022	#125	—	2	1	no	—
1023	#125	—	2	1	no	—
1024	#125	—	2	1	no	—
1025	#125	C₂²×D₃	1	1	yes	characteristic
1026	#124	—	2	1	no	—
1027	#124	—	2	1	no	—
1028	#124	—	2	1	no	—
1029	#124	—	2	1	no	—
1030	#124	—	2	1	no	—
1031	#124	—	3	1	no	—
1032	#124	—	3	1	no	—
1033	#124	—	6	1	no	—
1034	#124	C₂²×D₃	1	1	yes	characteristic
1035	#123	—	2	1	no	—
1036	#123	—	2	1	no	—
1037	#123	—	2	1	no	—
1038	#123	—	2	1	no	—
1039	#123	—	2	1	no	—
1040	#123	—	2	1	no	—
1041	#123	—	2	1	no	—
1042	#123	—	2	1	no	—
1043	#123	—	6	1	no	—
1044	#123	—	6	1	no	—
1045	#123	—	6	1	no	—
1046	#123	—	6	1	no	—
1047	#123	—	6	1	no	—
1048	#123	—	6	1	no	—
1049	#123	—	6	1	no	—
1050	#123	—	6	1	no	—
1051	#123	—	6	1	no	—
1052	#123	—	6	1	no	—
1053	#123	—	6	1	no	—
1054	#123	—	6	1	no	—
1055	#123	—	6	1	no	—
1056	#123	—	6	1	no	—
1057	#123	—	6	1	no	—
1058	#123	—	6	1	no	—
1059	#123	—	6	1	no	—
1060	#123	#67	1	1	yes	characteristic
1061	#123	#67	1	1	yes	characteristic
1062	C₂²⋊Q₈	—	2	1	no	—
1063	C₂²⋊Q₈	—	2	1	no	—
1064	C₂²⋊Q₈	—	2	1	no	—
1065	C₂²⋊Q₈	—	2	1	no	—
1066	C₂²⋊Q₈	—	2	1	no	—
1067	C₂²⋊Q₈	—	2	1	no	—
1068	C₂²⋊Q₈	—	2	1	no	—
1069	C₂²⋊Q₈	—	2	1	no	—
1070	C₂²⋊Q₈	—	2	1	no	—
1071	C₂²⋊Q₈	—	2	1	no	—
1072	C₂²⋊Q₈	—	3	1	no	—
1073	C₂²⋊Q₈	—	3	1	no	—
1074	C₂²⋊Q₈	—	3	1	no	—
1075	C₂²⋊Q₈	—	3	1	no	—
1076	C₂²⋊Q₈	—	3	1	no	—
1077	C₂²⋊Q₈	—	3	1	no	—
1078	C₂²⋊Q₈	—	6	1	no	—
1079	C₂²⋊Q₈	—	6	1	no	—
1080	C₂²⋊Q₈	#67	1	1	yes	characteristic
1081	C₂²⋊Q₈	#67	1	1	yes	characteristic
1082	C₂²⋊Q₈	C₂²×D₃	1	1	yes	characteristic
1083	C₂²⋊Q₈	C₂²×D₃	1	1	yes	characteristic
1084	C₂²⋊Q₈	C₂²×D₃	1	1	yes	characteristic
1085	C₂²⋊Q₈	C₂²×D₃	1	1	yes	characteristic
1086	C₂²⋊Q₈	C₂²×D₃	1	1	yes	characteristic
1087	C₂²⋊Q₈	C₂²×D₃	1	1	yes	characteristic
1088	C₂²⋊Q₈	C₂²×D₃	1	1	yes	characteristic
1089	C₂²⋊Q₈	C₂²×D₃	1	1	yes	characteristic
1090	C₂²⋊Q₈	C₂²×D₃	1	1	yes	characteristic
1091	#121	—	2	1	no	—
1092	#121	—	2	1	no	—
1093	#121	—	2	1	no	—
1094	#121	—	2	1	no	—
1095	#121	—	2	1	no	—
1096	#121	—	2	1	no	—
1097	#121	—	2	1	no	—
1098	#121	—	3	1	no	—
1099	#121	—	3	1	no	—
1100	#121	—	6	1	no	—
1101	#121	—	6	1	no	—
1102	#121	—	6	1	no	—
1103	#121	—	6	1	no	—
1104	#121	—	6	1	no	—
1105	#121	—	6	1	no	—
1106	#121	—	6	1	no	—
1107	#121	—	6	1	no	—
1108	#121	#67	1	1	yes	characteristic
1109	#121	#67	1	1	yes	characteristic
1110	#121	C₂²×D₃	1	1	yes	characteristic
1111	#121	C₂²×D₃	1	1	yes	characteristic
1112	#121	C₂²×D₃	1	1	yes	characteristic
1113	#120	—	2	1	no	—
1114	#120	—	6	1	no	—
1115	#120	—	6	1	no	—
1116	#120	—	6	1	no	—
1117	#120	—	6	1	no	—
1118	#120	—	6	1	no	—
1119	#120	#67	1	1	yes	characteristic
1120	#120	#67	1	1	yes	characteristic
1121	C₄×Q₈	—	2	1	no	—
1122	C₄×Q₈	C₂²×D₃	1	1	yes	characteristic
1123	C₄×Q₈	C₂²×D₃	1	1	yes	characteristic
1124	C₄×Q₈	C₂²×D₃	1	1	yes	characteristic
1125	C₄×D₄	—	2	1	no	—
1126	C₄×D₄	—	2	1	no	—
1127	C₄×D₄	—	2	1	no	—
1128	C₄×D₄	—	2	1	no	—
1129	C₄×D₄	—	2	1	no	—
1130	C₄×D₄	—	2	1	no	—
1131	C₄×D₄	—	2	1	no	—
1132	C₄×D₄	—	3	1	no	—
1133	C₄×D₄	—	3	1	no	—
1134	C₄×D₄	—	3	1	no	—
1135	C₄×D₄	—	3	1	no	—
1136	C₄×D₄	—	6	1	no	—
1137	C₄×D₄	—	6	1	no	—
1138	C₄×D₄	—	6	1	no	—
1139	C₄×D₄	—	6	1	no	—
1140	C₄×D₄	C₂²×D₃	1	1	yes	characteristic
1141	C₄×D₄	C₂²×D₃	1	1	yes	characteristic
1142	C₄×D₄	C₂²×D₃	1	1	yes	characteristic
1143	C₄×D₄	C₂²×D₃	1	1	yes	characteristic
1144	C₄×D₄	C₂²×D₃	1	1	yes	characteristic
1145	#117	—	2	1	no	—
1146	#117	—	3	1	no	—
1147	#117	C₂²×D₃	1	1	yes	characteristic
1148	#117	C₂²×D₃	1	1	yes	characteristic
1149	#117	C₂²×D₃	1	1	yes	characteristic
1150	C₂×C₄⋊C₄	—	2	1	no	—
1151	C₂×C₄⋊C₄	—	2	1	no	—
1152	C₂×C₄⋊C₄	—	6	1	no	—
1153	C₂×C₄⋊C₄	—	6	1	no	—
1154	C₂×C₄⋊C₄	—	6	1	no	—
1155	C₂×C₄⋊C₄	—	6	1	no	—
1156	C₂×C₄⋊C₄	C₂²×D₃	1	1	yes	characteristic
1157	C₂×C₄⋊C₄	C₂²×D₃	1	1	yes	characteristic
1158	C₂×C₂²⋊C₄	—	2	1	no	—
1159	C₂×C₂²⋊C₄	—	6	1	no	—
1160	C₂×C₂²⋊C₄	—	6	1	no	—
1161	C₂×C₂²⋊C₄	—	6	1	no	—
1162	C₂×C₂²⋊C₄	—	6	1	no	—
1163	C₂×C₂²⋊C₄	—	6	1	no	—
1164	C₂×C₂²⋊C₄	—	6	1	no	—
1165	#107	—	3	1	no	—
1166	#107	—	3	1	no	—
1167	#107	—	3	1	no	—
1168	#107	—	3	1	no	—
1169	#106	—	3	1	no	—
1170	#106	—	3	1	no	—
1171	#106	—	3	1	no	—
1172	#106	—	3	1	no	—
1173	C₄⋊C₈	—	3	1	no	—
1174	C₄⋊C₈	—	3	1	no	—
1175	C₄⋊C₈	—	3	1	no	—
1176	C₄⋊C₈	—	3	1	no	—
1177	#103	—	3	1	no	—
1178	#103	—	3	1	no	—
1179	#103	—	3	1	no	—
1180	#103	—	3	1	no	—
1181	#103	—	3	1	no	—
1182	#103	—	3	1	no	—
1183	#103	—	3	1	no	—
1184	#103	—	3	1	no	—
1185	#103	—	3	1	no	—
1186	#103	—	3	1	no	—
1187	#103	—	3	1	no	—
1188	#103	—	3	1	no	—
1189	#103	—	3	1	no	—
1190	#103	—	3	1	no	—
1191	#103	—	3	1	no	—
1192	#103	—	3	1	no	—
1193	#103	—	3	1	no	—
1194	#103	—	3	1	no	—
1195	#102	—	3	1	no	—
1196	#102	—	3	1	no	—
1197	#102	—	3	1	no	—
1198	#102	—	3	1	no	—
1199	#102	—	3	1	no	—
1200	#102	—	3	1	no	—
1201	#102	—	3	1	no	—
1202	#102	—	3	1	no	—
1203	#102	—	3	1	no	—
1204	#102	—	3	1	no	—
1205	#102	—	3	1	no	—
1206	#102	—	3	1	no	—
1207	#102	—	3	1	no	—
1208	#102	—	3	1	no	—
1209	C₂²⋊C₈	—	3	1	no	—
1210	C₂²⋊C₈	—	3	1	no	—
1211	C₂²⋊C₈	—	3	1	no	—
1212	C₂²⋊C₈	—	3	1	no	—
1213	C₂²⋊C₈	—	3	1	no	—
1214	C₂²⋊C₈	—	3	1	no	—
1215	C₂²⋊C₈	—	3	1	no	—
1216	C₂²⋊C₈	—	3	1	no	—
1217	C₂²⋊C₈	—	3	1	no	—
1218	C₂²⋊C₈	—	3	1	no	—
1219	C₂²⋊C₈	—	3	1	no	—
1220	C₂²⋊C₈	—	3	1	no	—
1221	#97	—	3	1	no	—
1222	#97	—	3	1	no	—
1223	C₄×C₈	—	3	1	no	—
1224	C₄×C₈	—	3	1	no	—
1225	C₂³×C₃	—	2	1	no	—
1226	C₂³×C₃	—	4	1	no	—
1227	C₂³×C₃	—	4	1	no	—
1228	C₂³×C₃	—	4	1	no	—
1229	C₂³×C₃	C₂²×D₄	1	1	yes	characteristic
1230	C₂³×C₃	C₂²×D₄	1	1	yes	characteristic
1231	C₂³×C₃	C₂²×D₄	1	1	yes	characteristic
1232	C₂³×C₃	C₂²×D₄	1	1	yes	characteristic
1233	C₂³×C₃	C₂²×D₄	1	1	yes	characteristic
1234	C₂²×D₃	—	2	1	no	—
1235	C₂²×D₃	—	2	1	no	—
1236	C₂²×D₃	—	2	4	no	—
1237	C₂²×D₃	—	2	1	no	—
1238	C₂²×D₃	—	4	2	no	—
1239	C₂²×D₃	—	4	2	no	—
1240	C₂²×D₃	—	8	1	no	—
1241	C₂²×D₃	—	8	1	no	—
1242	C₂²×D₃	—	8	1	no	—
1243	C₂²×D₃	—	8	1	no	—
1244	C₂²×D₃	—	8	1	no	—
1245	C₂²×D₃	—	8	1	no	—
1246	C₃×Q₈	—	2	1	no	—
1247	C₃×Q₈	—	2	1	no	—
1248	C₃×Q₈	—	2	1	no	—
1249	C₃×Q₈	—	2	1	no	—
1250	C₃×Q₈	—	2	1	no	—
1251	C₃×Q₈	—	2	1	no	—
1252	C₃×Q₈	—	4	1	no	—
1253	C₃×Q₈	—	8	1	no	—
1254	C₃×Q₈	—	8	1	no	—
1255	C₃×Q₈	—	8	1	no	—
1256	C₃×D₄	—	2	1	no	—
1257	C₃×D₄	—	2	1	no	—
1258	C₃×D₄	—	4	1	no	—
1259	C₃×D₄	—	4	1	no	—
1260	C₃×D₄	—	4	1	no	—
1261	C₃×D₄	—	4	1	no	—
1262	C₃×D₄	—	4	1	no	—
1263	C₃×D₄	—	4	1	no	—
1264	C₃×D₄	—	4	1	no	—
1265	C₃×D₄	—	4	2	no	—
1266	C₃×D₄	—	8	1	no	—
1267	C₃×D₄	—	8	1	no	—
1268	C₃×D₄	—	8	1	no	—
1269	C₃×D₄	—	8	1	no	—
1270	C₂×C₃×C₄	—	2	1	no	—
1271	C₂×C₃×C₄	—	2	1	no	—
1272	C₂×C₃×C₄	—	2	1	no	—
1273	C₂×C₃×C₄	—	2	1	no	—
1274	C₂×C₃×C₄	—	2	1	no	—
1275	C₂×C₃×C₄	—	2	1	no	—
1276	C₂×C₃×C₄	—	2	1	no	—
1277	C₂×C₃×C₄	—	2	1	no	—
1278	C₂×C₃×C₄	—	2	1	no	—
1279	C₂×C₃×C₄	—	2	1	no	—
1280	C₂×C₃×C₄	—	2	1	no	—
1281	C₂×C₃×C₄	—	2	1	no	—
1282	C₂×C₃×C₄	—	2	1	no	—
1283	C₂×C₃×C₄	—	2	1	no	—
1284	C₂×C₃×C₄	—	2	1	no	—
1285	C₂×C₃×C₄	—	2	1	no	—
1286	C₂×C₃×C₄	—	2	1	no	—
1287	C₂×C₃×C₄	—	4	1	no	—
1288	C₂×C₃×C₄	—	4	1	no	—
1289	C₂×C₃×C₄	—	4	1	no	—
1290	C₂×C₃×C₄	—	8	1	no	—
1291	C₂×C₃×C₄	—	8	1	no	—
1292	C₂×C₃×C₄	—	8	1	no	—
1293	C₂×C₃×C₄	—	8	1	no	—
1294	C₂×C₃×C₄	—	8	1	no	—
1295	C₂×C₃×C₄	—	8	1	no	—
1296	C₂×C₃×C₄	—	8	1	no	—
1297	C₂×C₃×C₄	C₂²×D₄	1	1	yes	characteristic
1298	C₂×C₃×C₄	C₂²×D₄	1	1	yes	characteristic
1299	C₂×C₃×C₄	C₂²×D₄	1	1	yes	characteristic
1300	C₂×C₃×C₄	C₂²×D₄	1	1	yes	characteristic
1301	C₂×C₃×C₄	C₂²×D₄	1	1	yes	characteristic
1302	C₂×C₃×C₄	C₂²×D₄	1	1	yes	characteristic
1303	C₂×C₃×C₄	C₂²×D₄	1	1	yes	characteristic
1304	C₂×C₃×C₄	C₂²×D₄	1	1	yes	characteristic
1305	C₂×C₃×C₄	C₂²×D₄	1	1	yes	characteristic
1306	C₂×C₃×C₄	C₂⁵	1	1	yes	characteristic
1307	#67	—	4	2	no	—
1308	#67	—	4	2	no	—
1309	#67	—	4	2	no	—
1310	#67	—	4	2	no	—
1311	#67	—	4	2	no	—
1312	#67	—	4	2	no	—
1313	#67	—	4	2	no	—
1314	#67	—	8	1	no	—
1315	#67	—	8	1	no	—
1316	C₂×Dic₃	—	2	1	no	—
1317	C₂×Dic₃	—	2	1	no	—
1318	C₂×Dic₃	—	2	1	no	—
1319	C₂×Dic₃	—	2	1	no	—
1320	C₂×Dic₃	—	2	1	no	—
1321	C₂×Dic₃	—	4	2	no	—
1322	D₁₂	—	2	4	no	—
1323	D₁₂	—	2	1	no	—
1324	D₁₂	—	2	1	no	—
1325	D₁₂	—	2	1	no	—
1326	D₁₂	—	2	1	no	—
1327	D₁₂	—	4	2	no	—
1328	D₁₂	—	4	2	no	—
1329	D₁₂	H(5,𝔽₂)	1	2	yes	—
1330	D₁₂	H(5,𝔽₂)	1	2	yes	—
1331	C₄×D₃	—	4	2	no	—
1332	C₄×D₃	—	4	2	no	—
1333	C₄×D₃	—	4	2	no	—
1334	C₄×D₃	—	4	2	no	—
1335	C₄×D₃	—	4	2	no	—
1336	C₄×D₃	—	4	2	no	—
1337	C₄×D₃	—	4	2	no	—
1338	C₄×D₃	—	8	1	no	—
1339	C₄×D₃	—	8	1	no	—
1340	C₄×D₃	—	8	1	no	—
1341	C₄×D₃	—	8	1	no	—
1342	Dic₆	—	2	1	no	—
1343	Dic₆	—	2	1	no	—
1344	Dic₆	—	2	1	no	—
1345	Dic₆	—	2	1	no	—
1346	Dic₆	—	2	1	no	—
1347	Dic₆	—	2	1	no	—
1348	Dic₆	—	4	2	no	—
1349	C₃⋊C₈	—	2	1	no	—
1350	C₃⋊C₈	—	2	1	no	—
1351	C₃⋊C₈	—	2	1	no	—
1352	C₃⋊C₈	—	2	1	no	—
1353	C₃⋊C₈	—	2	1	no	—
1354	C₃⋊C₈	—	2	1	no	—
1355	C₃⋊C₈	—	2	1	no	—
1356	C₃⋊C₈	—	2	1	no	—
1357	C₂⁴	—	6	1	no	—
1358	C₂⁴	—	6	1	no	—
1359	C₂⁴	—	6	1	no	—
1360	C₂⁴	C₂×#67	1	1	yes	characteristic
1361	#41	—	4	1	no	—
1362	#41	—	4	1	no	—
1363	#41	—	4	1	no	—
1364	#41	—	4	1	no	—
1365	#41	—	4	1	no	—
1366	#41	—	4	1	no	—
1367	#41	—	6	2	no	—
1368	#41	—	6	2	no	—
1369	#41	—	6	2	no	—
1370	#41	—	6	2	no	—
1371	#41	—	6	2	no	—
1372	#41	—	6	2	no	—
1373	#41	—	12	1	no	—
1374	#41	—	12	1	no	—
1375	#41	—	12	1	no	—
1376	#41	—	12	1	no	—
1377	#41	—	12	1	no	—
1378	#41	—	12	1	no	—
1379	#41	—	12	1	no	—
1380	#41	—	12	1	no	—
1381	#41	—	12	4	no	—
1382	#41	—	12	4	no	—
1383	#41	—	12	4	no	—
1384	C₂×Q₈	—	2	1	no	—
1385	C₂×Q₈	—	2	1	no	—
1386	C₂×Q₈	—	2	1	no	—
1387	C₂×Q₈	—	3	1	no	—
1388	C₂×Q₈	—	3	1	no	—
1389	C₂×Q₈	—	3	1	no	—
1390	C₂×Q₈	—	4	1	no	—
1391	C₂×Q₈	—	4	1	no	—
1392	C₂×Q₈	—	4	1	no	—
1393	C₂×Q₈	—	4	1	no	—
1394	C₂×Q₈	—	6	1	no	—
1395	C₂×Q₈	—	12	1	no	—
1396	C₂×Q₈	—	12	1	no	—
1397	C₂×Q₈	C₂×#67	1	1	yes	characteristic
1398	C₂×Q₈	C₂³×D₃	1	1	yes	characteristic
1399	C₂×Q₈	C₂³×D₃	1	1	yes	characteristic
1400	C₂×Q₈	C₂³×D₃	1	1	yes	characteristic
1401	C₂×D₄	—	2	1	no	—
1402	C₂×D₄	—	2	1	no	—
1403	C₂×D₄	—	2	1	no	—
1404	C₂×D₄	—	2	1	no	—
1405	C₂×D₄	—	2	1	no	—
1406	C₂×D₄	—	3	1	no	—
1407	C₂×D₄	—	3	1	no	—
1408	C₂×D₄	—	3	1	no	—
1409	C₂×D₄	—	6	2	no	—
1410	C₂×D₄	—	6	2	no	—
1411	C₂×D₄	—	6	2	no	—
1412	C₂×D₄	—	6	2	no	—
1413	C₂×D₄	—	6	1	no	—
1414	C₂×D₄	—	6	1	no	—
1415	C₂×D₄	—	6	1	no	—
1416	C₂×D₄	—	6	1	no	—
1417	C₂×D₄	—	6	1	no	—
1418	C₂×D₄	—	6	1	no	—
1419	C₂×D₄	—	6	1	no	—
1420	C₂×D₄	—	6	1	no	—
1421	C₂×D₄	—	6	1	no	—
1422	C₂×D₄	—	6	1	no	—
1423	C₂×D₄	—	6	1	no	—
1424	C₂×D₄	—	6	1	no	—
1425	C₂×D₄	—	12	1	no	—
1426	C₂×D₄	—	12	1	no	—
1427	C₂×D₄	—	12	4	no	—
1428	C₂×D₄	—	12	4	no	—
1429	C₂×D₄	—	12	4	no	—
1430	C₂×D₄	—	12	4	no	—
1431	C₂×D₄	C₂×#67	1	1	yes	characteristic
1432	C₂×D₄	C₂×#67	1	1	yes	characteristic
1433	C₂×D₄	C₂×#67	1	1	yes	characteristic
1434	C₂×D₄	C₂×#67	1	1	yes	characteristic
1435	C₂×D₄	C₂×#67	1	1	yes	characteristic
1436	C₂×D₄	C₂×#67	1	1	yes	characteristic
1437	C₂×D₄	C₂×#67	1	1	yes	characteristic
1438	C₂×D₄	C₂³×D₃	1	1	yes	characteristic
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	—	4	1	no	—
1447	C₂²×C₄	—	4	1	no	—
1448	C₂²×C₄	—	6	1	no	—
1449	C₂²×C₄	—	6	1	no	—
1450	C₂²×C₄	—	6	1	no	—
1451	C₂²×C₄	—	6	1	no	—
1452	C₂²×C₄	—	6	1	no	—
1453	C₂²×C₄	—	6	1	no	—
1454	C₂²×C₄	—	6	1	no	—
1455	C₂²×C₄	—	6	1	no	—
1456	C₂²×C₄	—	6	1	no	—
1457	C₂²×C₄	—	6	1	no	—
1458	C₂²×C₄	—	6	1	no	—
1459	C₂²×C₄	—	6	1	no	—
1460	C₂²×C₄	—	12	4	no	—
1461	C₂²×C₄	C₂×#67	1	1	yes	characteristic
1462	C₂²×C₄	C₂×#67	1	1	yes	characteristic
1463	C₂²×C₄	C₂×#67	1	1	yes	characteristic
1464	C₂²×C₄	C₂³×D₃	1	1	yes	characteristic
1465	C₂²×C₄	C₂³×D₃	1	1	yes	characteristic
1466	C₂²×C₄	C₂³×D₃	1	1	yes	characteristic
1467	C₂²×C₄	C₂³×D₃	1	1	yes	characteristic
1468	C₂²×C₄	C₂³×D₃	1	1	yes	characteristic
1469	Q₁₆	—	12	1	no	—
1470	Q₁₆	—	12	1	no	—
1471	Q₁₆	—	12	1	no	—
1472	Q₁₆	—	12	1	no	—
1473	Q₁₆	—	12	1	no	—
1474	Q₁₆	—	12	1	no	—
1475	Q₁₆	—	12	1	no	—
1476	Q₁₆	—	12	1	no	—
1477	Q₁₆	—	12	1	no	—
1478	SD₁₆	—	6	2	no	—
1479	SD₁₆	—	6	2	no	—
1480	SD₁₆	—	6	2	no	—
1481	SD₁₆	—	6	2	no	—
1482	SD₁₆	—	6	2	no	—
1483	SD₁₆	—	6	2	no	—
1484	SD₁₆	—	12	1	no	—
1485	SD₁₆	—	12	1	no	—
1486	SD₁₆	—	12	1	no	—
1487	SD₁₆	—	12	1	no	—
1488	SD₁₆	—	12	1	no	—
1489	SD₁₆	—	12	1	no	—
1490	D₈	—	6	2	no	—
1491	D₈	—	6	2	no	—
1492	D₈	—	12	1	no	—
1493	M₁₆	—	12	1	no	—
1494	M₁₆	—	12	1	no	—
1495	M₁₆	—	12	1	no	—
1496	M₁₆	—	12	1	no	—
1497	C₂×C₈	—	3	1	no	—
1498	C₂×C₈	—	3	1	no	—
1499	C₂×C₈	—	3	1	no	—
1500	C₂×C₈	—	3	1	no	—
1501	C₂×C₈	—	3	1	no	—
1502	C₂×C₈	—	3	1	no	—
1503	C₂×C₈	—	3	1	no	—
1504	C₂×C₈	—	3	1	no	—
1505	C₂×C₈	—	12	1	no	—
1506	C₂×C₈	—	12	1	no	—
1507	C₂×C₈	—	12	1	no	—
1508	C₂×C₈	—	12	1	no	—
1509	C₄⋊C₄	—	2	1	no	—
1510	C₄⋊C₄	—	2	1	no	—
1511	C₄⋊C₄	—	2	1	no	—
1512	C₄⋊C₄	—	2	1	no	—
1513	C₄⋊C₄	—	2	1	no	—
1514	C₄⋊C₄	—	2	1	no	—
1515	C₄⋊C₄	—	2	1	no	—
1516	C₄⋊C₄	—	2	1	no	—
1517	C₄⋊C₄	—	2	1	no	—
1518	C₄⋊C₄	—	2	1	no	—
1519	C₄⋊C₄	—	2	1	no	—
1520	C₄⋊C₄	—	2	1	no	—
1521	C₄⋊C₄	—	2	1	no	—
1522	C₄⋊C₄	—	2	1	no	—
1523	C₄⋊C₄	—	2	1	no	—
1524	C₄⋊C₄	—	2	1	no	—
1525	C₄⋊C₄	—	2	1	no	—
1526	C₄⋊C₄	—	2	1	no	—
1527	C₄⋊C₄	—	2	1	no	—
1528	C₄⋊C₄	—	3	1	no	—
1529	C₄⋊C₄	—	3	1	no	—
1530	C₄⋊C₄	—	6	1	no	—
1531	C₄⋊C₄	—	6	1	no	—
1532	C₄⋊C₄	—	6	1	no	—
1533	C₄⋊C₄	—	6	1	no	—
1534	C₄⋊C₄	—	6	1	no	—
1535	C₄⋊C₄	—	6	1	no	—
1536	C₄⋊C₄	—	6	1	no	—
1537	C₄⋊C₄	—	6	1	no	—
1538	C₄⋊C₄	—	6	1	no	—
1539	C₄⋊C₄	—	6	1	no	—
1540	C₄⋊C₄	C₂×#67	1	1	yes	characteristic
1541	C₄⋊C₄	C₂×#67	1	1	yes	characteristic
1542	C₄⋊C₄	C₂×#67	1	1	yes	characteristic
1543	C₄⋊C₄	C₂×#67	1	1	yes	characteristic
1544	C₄⋊C₄	C₂×#67	1	1	yes	characteristic
1545	C₄⋊C₄	C₂×#67	1	1	yes	characteristic
1546	C₄⋊C₄	C₂³×D₃	1	1	yes	characteristic
1547	C₄⋊C₄	C₂³×D₃	1	1	yes	characteristic
1548	C₄⋊C₄	C₂³×D₃	1	1	yes	characteristic
1549	C₄⋊C₄	C₂³×D₃	1	1	yes	characteristic
1550	C₂²⋊C₄	—	2	1	no	—
1551	C₂²⋊C₄	—	2	1	no	—
1552	C₂²⋊C₄	—	2	1	no	—
1553	C₂²⋊C₄	—	2	1	no	—
1554	C₂²⋊C₄	—	2	1	no	—
1555	C₂²⋊C₄	—	2	1	no	—
1556	C₂²⋊C₄	—	2	1	no	—
1557	C₂²⋊C₄	—	2	1	no	—
1558	C₂²⋊C₄	—	2	1	no	—
1559	C₂²⋊C₄	—	2	1	no	—
1560	C₂²⋊C₄	—	2	1	no	—
1561	C₂²⋊C₄	—	2	1	no	—
1562	C₂²⋊C₄	—	2	1	no	—
1563	C₂²⋊C₄	—	2	1	no	—
1564	C₂²⋊C₄	—	2	1	no	—
1565	C₂²⋊C₄	—	2	1	no	—
1566	C₂²⋊C₄	—	2	1	no	—
1567	C₂²⋊C₄	—	6	1	no	—
1568	C₂²⋊C₄	—	6	1	no	—
1569	C₂²⋊C₄	—	6	1	no	—
1570	C₂²⋊C₄	—	6	1	no	—
1571	C₂²⋊C₄	—	6	1	no	—
1572	C₂²⋊C₄	—	6	1	no	—
1573	C₂²⋊C₄	—	6	1	no	—
1574	C₂²⋊C₄	—	6	1	no	—
1575	C₂²⋊C₄	—	6	1	no	—
1576	C₂²⋊C₄	—	6	1	no	—
1577	C₂²⋊C₄	—	6	1	no	—
1578	C₂²⋊C₄	—	6	1	no	—
1579	C₂²⋊C₄	—	6	1	no	—
1580	C₂²⋊C₄	—	6	1	no	—
1581	C₂²⋊C₄	—	6	1	no	—
1582	C₂²⋊C₄	—	6	1	no	—
1583	C₂²⋊C₄	—	6	1	no	—
1584	C₂²⋊C₄	C₂×#67	1	1	yes	characteristic
1585	C₂²⋊C₄	C₂×#67	1	1	yes	characteristic
1586	C₂²⋊C₄	C₂×#67	1	1	yes	characteristic
1587	C₂²⋊C₄	C₂×#67	1	1	yes	characteristic
1588	C₂²⋊C₄	C₂×#67	1	1	yes	characteristic
1589	C₂²⋊C₄	C₂×#67	1	1	yes	characteristic
1590	C₂²⋊C₄	C₂×#67	1	1	yes	characteristic
1591	C₂²⋊C₄	C₂×#67	1	1	yes	characteristic
1592	C₂²⋊C₄	C₂×#67	1	1	yes	characteristic
1593	C₂²⋊C₄	C₂×#67	1	1	yes	characteristic
1594	C₄²	—	2	1	no	—
1595	C₄²	—	2	1	no	—
1596	C₄²	—	2	1	no	—
1597	C₄²	—	2	1	no	—
1598	C₄²	—	2	1	no	—
1599	C₄²	—	6	1	no	—
1600	C₄²	C₂³×D₃	1	1	yes	characteristic
1601	C₄²	C₂³×D₃	1	1	yes	characteristic
1602	C₂²×C₃	—	2	1	no	—
1603	C₂²×C₃	—	2	1	no	—
1604	C₂²×C₃	—	2	1	no	—
1605	C₂²×C₃	—	2	1	no	—
1606	C₂²×C₃	—	2	1	no	—
1607	C₂²×C₃	—	2	1	no	—
1608	C₂²×C₃	—	2	1	no	—
1609	C₂²×C₃	—	2	1	no	—
1610	C₂²×C₃	—	2	1	no	—
1611	C₂²×C₃	—	2	1	no	—
1612	C₂²×C₃	—	2	1	no	—
1613	C₂²×C₃	—	2	1	no	—
1614	C₂²×C₃	—	2	1	no	—
1615	C₂²×C₃	—	2	1	no	—
1616	C₂²×C₃	—	2	1	no	—
1617	C₂²×C₃	—	4	1	no	—
1618	C₂²×C₃	—	4	1	no	—
1619	C₂²×C₃	—	4	1	no	—
1620	C₂²×C₃	—	8	2	no	—
1621	C₂²×C₃	C₂³×D₄	1	1	yes	characteristic
1622	C₂×D₃	—	2	2	no	—
1623	C₂×D₃	—	2	2	no	—
1624	C₂×D₃	—	4	1	no	—
1625	C₂×D₃	—	4	1	no	—
1626	C₂×D₃	—	4	1	no	—
1627	C₂×D₃	—	4	1	no	—
1628	C₂×D₃	—	4	1	no	—
1629	C₂×D₃	—	4	1	no	—
1630	C₂×D₃	—	4	1	no	—
1631	C₂×D₃	—	8	4	no	—
1632	C₂×D₃	—	16	2	no	—
1633	C₂×D₃	—	16	2	no	—
1634	C₃×C₄	—	2	1	no	—
1635	C₃×C₄	—	2	1	no	—
1636	C₃×C₄	—	2	1	no	—
1637	C₃×C₄	—	2	1	no	—
1638	C₃×C₄	—	2	1	no	—
1639	C₃×C₄	—	2	1	no	—
1640	C₃×C₄	—	2	1	no	—
1641	C₃×C₄	—	2	1	no	—
1642	C₃×C₄	—	2	1	no	—
1643	C₃×C₄	—	4	1	no	—
1644	C₃×C₄	—	4	1	no	—
1645	C₃×C₄	—	4	1	no	—
1646	C₃×C₄	—	4	1	no	—
1647	C₃×C₄	—	4	1	no	—
1648	C₃×C₄	—	4	1	no	—
1649	C₃×C₄	—	4	1	no	—
1650	C₃×C₄	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1651	C₃×C₄	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1652	Dic₃	—	4	1	no	—
1653	Dic₃	—	4	1	no	—
1654	Dic₃	—	4	1	no	—
1655	Dic₃	—	4	1	no	—
1656	Dic₃	—	4	1	no	—
1657	C₂³	—	2	1	no	—
1658	C₂³	—	4	1	no	—
1659	C₂³	—	4	1	no	—
1660	C₂³	—	4	1	no	—
1661	C₂³	—	6	4	no	—
1662	C₂³	—	6	1	no	—
1663	C₂³	—	6	1	no	—
1664	C₂³	—	6	1	no	—
1665	C₂³	—	12	2	no	—
1666	C₂³	—	12	2	no	—
1667	C₂³	—	24	1	no	—
1668	C₂³	—	24	1	no	—
1669	C₂³	—	24	1	no	—
1670	C₂³	—	24	1	no	—
1671	C₂³	—	24	1	no	—
1672	C₂³	—	24	1	no	—
1673	C₂³	C₂²×#67	1	1	yes	characteristic
1674	C₂³	C₂²×#67	1	1	yes	characteristic
1675	C₂³	C₂²×#67	1	1	yes	characteristic
1676	C₂³	C₂²×#67	1	1	yes	characteristic
1677	C₂³	C₂²×#67	1	1	yes	characteristic
1678	Q₈	—	2	1	no	—
1679	Q₈	—	2	1	no	—
1680	Q₈	—	2	1	no	—
1681	Q₈	—	2	1	no	—
1682	Q₈	—	2	1	no	—
1683	Q₈	—	2	1	no	—
1684	Q₈	—	4	1	no	—
1685	Q₈	—	6	1	no	—
1686	Q₈	—	6	1	no	—
1687	Q₈	—	6	1	no	—
1688	Q₈	—	6	1	no	—
1689	Q₈	—	6	1	no	—
1690	Q₈	—	6	1	no	—
1691	Q₈	—	8	1	no	—
1692	Q₈	—	8	1	no	—
1693	Q₈	—	8	1	no	—
1694	Q₈	—	12	2	no	—
1695	D₄	—	2	1	no	—
1696	D₄	—	2	1	no	—
1697	D₄	—	3	2	no	—
1698	D₄	—	3	2	no	—
1699	D₄	—	4	1	no	—
1700	D₄	—	4	1	no	—
1701	D₄	—	4	1	no	—
1702	D₄	—	4	1	no	—
1703	D₄	—	4	1	no	—
1704	D₄	—	4	1	no	—
1705	D₄	—	4	1	no	—
1706	D₄	—	4	2	no	—
1707	D₄	—	6	4	no	—
1708	D₄	—	6	1	no	—
1709	D₄	—	6	1	no	—
1710	D₄	—	6	1	no	—
1711	D₄	—	6	1	no	—
1712	D₄	—	8	1	no	—
1713	D₄	—	8	1	no	—
1714	D₄	—	8	1	no	—
1715	D₄	—	8	1	no	—
1716	D₄	—	12	2	no	—
1717	D₄	—	12	2	no	—
1718	D₄	—	12	2	no	—
1719	D₄	—	12	2	no	—
1720	D₄	—	12	2	no	—
1721	D₄	—	12	2	no	—
1722	D₄	—	12	2	no	—
1723	D₄	—	12	2	no	—
1724	D₄	—	12	2	no	—
1725	D₄	—	24	1	no	—
1726	D₄	—	24	1	no	—
1727	C₂×C₄	—	2	1	no	—
1728	C₂×C₄	—	2	1	no	—
1729	C₂×C₄	—	2	1	no	—
1730	C₂×C₄	—	2	1	no	—
1731	C₂×C₄	—	2	1	no	—
1732	C₂×C₄	—	2	1	no	—
1733	C₂×C₄	—	2	1	no	—
1734	C₂×C₄	—	2	1	no	—
1735	C₂×C₄	—	2	1	no	—
1736	C₂×C₄	—	2	1	no	—
1737	C₂×C₄	—	2	1	no	—
1738	C₂×C₄	—	2	1	no	—
1739	C₂×C₄	—	2	1	no	—
1740	C₂×C₄	—	2	1	no	—
1741	C₂×C₄	—	2	1	no	—
1742	C₂×C₄	—	2	1	no	—
1743	C₂×C₄	—	2	1	no	—
1744	C₂×C₄	—	4	1	no	—
1745	C₂×C₄	—	4	1	no	—
1746	C₂×C₄	—	4	1	no	—
1747	C₂×C₄	—	6	1	no	—
1748	C₂×C₄	—	6	1	no	—
1749	C₂×C₄	—	6	1	no	—
1750	C₂×C₄	—	6	1	no	—
1751	C₂×C₄	—	6	1	no	—
1752	C₂×C₄	—	8	1	no	—
1753	C₂×C₄	—	8	1	no	—
1754	C₂×C₄	—	8	1	no	—
1755	C₂×C₄	—	8	1	no	—
1756	C₂×C₄	—	8	1	no	—
1757	C₂×C₄	—	8	1	no	—
1758	C₂×C₄	—	8	1	no	—
1759	C₂×C₄	—	12	2	no	—
1760	C₂×C₄	—	12	2	no	—
1761	C₂×C₄	—	12	2	no	—
1762	C₂×C₄	—	12	2	no	—
1763	C₂×C₄	—	12	2	no	—
1764	C₂×C₄	—	12	2	no	—
1765	C₂×C₄	—	12	2	no	—
1766	C₂×C₄	—	12	2	no	—
1767	C₂×C₄	—	24	1	no	—
1768	C₂×C₄	—	24	1	no	—
1769	C₂×C₄	—	24	1	no	—
1770	C₂×C₄	—	24	1	no	—
1771	C₂×C₄	C₂²×#67	1	1	yes	characteristic
1772	C₂×C₄	C₂²×#67	1	1	yes	characteristic
1773	C₂×C₄	C₂²×#67	1	1	yes	characteristic
1774	C₂×C₄	C₂²×#67	1	1	yes	characteristic
1775	C₂×C₄	C₂²×#67	1	1	yes	characteristic
1776	C₂×C₄	C₂²×#67	1	1	yes	characteristic
1777	C₂×C₄	C₂²×#67	1	1	yes	characteristic
1778	C₂×C₄	C₂²×#67	1	1	yes	characteristic
1779	C₂×C₄	C₂²×#67	1	1	yes	characteristic
1780	C₂×C₄	C₂⁴×D₃	1	1	yes	characteristic
1781	C₈	—	6	1	no	—
1782	C₈	—	6	1	no	—
1783	C₈	—	6	1	no	—
1784	C₈	—	6	1	no	—
1785	C₈	—	6	1	no	—
1786	C₈	—	6	1	no	—
1787	C₈	—	6	1	no	—
1788	C₈	—	6	1	no	—
1789	C₂×C₃	—	4	1	no	—
1790	C₂×C₃	—	4	1	no	—
1791	C₂×C₃	—	4	1	no	—
1792	C₂×C₃	—	4	1	no	—
1793	C₂×C₃	—	4	1	no	—
1794	C₂×C₃	—	8	1	no	—
1795	C₂×C₃	#3484	1	1	yes	characteristic
1796	C₂×C₃	#3584	1	1	yes	characteristic
1797	C₂×C₃	#3586	1	1	yes	characteristic
1798	D₃	—	4	2	no	—
1799	D₃	—	4	2	no	—
1800	D₃	—	8	1	no	—
1801	C₂²	—	2	1	no	—
1802	C₂²	—	2	1	no	—
1803	C₂²	—	2	1	no	—
1804	C₂²	—	2	1	no	—
1805	C₂²	—	2	1	no	—
1806	C₂²	—	2	1	no	—
1807	C₂²	—	2	1	no	—
1808	C₂²	—	2	1	no	—
1809	C₂²	—	2	1	no	—
1810	C₂²	—	2	1	no	—
1811	C₂²	—	2	1	no	—
1812	C₂²	—	2	1	no	—
1813	C₂²	—	2	1	no	—
1814	C₂²	—	2	1	no	—
1815	C₂²	—	2	1	no	—
1816	C₂²	—	4	1	no	—
1817	C₂²	—	4	1	no	—
1818	C₂²	—	4	1	no	—
1819	C₂²	—	6	2	no	—
1820	C₂²	—	6	2	no	—
1821	C₂²	—	8	2	no	—
1822	C₂²	—	12	1	no	—
1823	C₂²	—	12	1	no	—
1824	C₂²	—	12	1	no	—
1825	C₂²	—	12	1	no	—
1826	C₂²	—	12	1	no	—
1827	C₂²	—	12	1	no	—
1828	C₂²	—	12	1	no	—
1829	C₂²	—	24	4	no	—
1830	C₂²	—	48	2	no	—
1831	C₂²	—	48	2	no	—
1832	C₂²	C₂³×#67	1	1	yes	characteristic
1833	C₄	—	2	1	no	—
1834	C₄	—	2	1	no	—
1835	C₄	—	2	1	no	—
1836	C₄	—	2	1	no	—
1837	C₄	—	2	1	no	—
1838	C₄	—	2	1	no	—
1839	C₄	—	2	1	no	—
1840	C₄	—	2	1	no	—
1841	C₄	—	2	1	no	—
1842	C₄	—	4	1	no	—
1843	C₄	—	4	1	no	—
1844	C₄	—	4	1	no	—
1845	C₄	—	4	1	no	—
1846	C₄	—	4	1	no	—
1847	C₄	—	4	1	no	—
1848	C₄	—	4	1	no	—
1849	C₄	—	12	1	no	—
1850	C₄	—	12	1	no	—
1851	C₄	—	12	1	no	—
1852	C₄	—	12	1	no	—
1853	C₄	—	12	1	no	—
1854	C₄	D₃×H(5,𝔽₂)	1	1	yes	characteristic
1855	C₄	D₃×H(5,𝔽₂)	1	1	yes	characteristic
1856	C₃	#61613	1	1	yes	characteristic, complemented, Sylow
1857	C₂	—	4	1	no	—
1858	C₂	—	4	1	no	—
1859	C₂	—	4	1	no	—
1860	C₂	—	4	1	no	—
1861	C₂	—	4	1	no	—
1862	C₂	—	8	1	no	—
1863	C₂	—	12	2	no	—
1864	C₂	—	12	2	no	—
1865	C₂	—	24	1	no	—
1866	C₂	#87284	1	1	yes	characteristic
1867	C₂	#87287	1	1	yes	characteristic
1868	C₂	#87297	1	1	yes	characteristic

	subgroup	G/H
center	C₂²	C₂³×#67
commutator, cosocle	C₂×C₃×C₄	C₂⁵
Frattini	C₂×C₄	C₂⁴×D₃
Fitting	C₃×#3541	C₂
socle	C₂²×C₃	C₂³×D₄
hypercenter	#3541	D₃
hypocenter	C₃	#61613
LCS	G ▷ C₂×C₃×C₄ ▷ C₂×C₃ ▷ C₃
UCS	C₁ ◁ C₂² ◁ #525 ◁ #3541

Complements

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

N	H ≅ G/N	type
1. C₃×#3541	C₂	semidirect
2. #86040	C₂	semidirect
3. #83665	C₂	semidirect
4. #83664	C₂	semidirect
5. #83636	C₂	semidirect
6. #83635	C₂	semidirect
7. #83617	C₂	semidirect
8. #83615	C₂	semidirect
9. #83600	C₂	semidirect
10. #83598	C₂	semidirect
11. #83560	C₂	semidirect
12. #83559	C₂	semidirect
13. #83545	C₂	semidirect
14. #83544	C₂	semidirect
15. #83543	C₂	semidirect
16. #83543	C₂	semidirect
17. #83524	C₂	semidirect
18. #83522	C₂	semidirect
19. #83464	C₂	semidirect
20. #83460	C₂	semidirect
21. #83452	C₂	semidirect
22. #83447	C₂	semidirect
23. #83428	C₂	semidirect
24. #83424	C₂	semidirect
25. #83413	C₂	semidirect
26. #83404	C₂	semidirect
27. #82932	C₂	semidirect
28. #82926	C₂	semidirect
29. #82919	C₂	semidirect
30. #82737	C₂	semidirect
31. #82735	C₂	semidirect
37. C₃×#556	C₂²	semidirect
39. C₃×#554	C₂²	semidirect
41. C₃×#553	C₂²	semidirect
42. C₃×#552	C₂²	semidirect
43. C₃×D₄×Q₈	C₂²	semidirect
44. C₃×#548	C₂²	semidirect
45. C₃×#548	C₂²	semidirect
46. C₃×#547	C₂²	semidirect
48. C₃×#542	C₂²	semidirect
49. C₃×#541	C₂²	semidirect
56. C₃×#525	C₂²	semidirect
57. C₂×C₃×C₂²⋊Q₈	C₂²	semidirect
59. C₂×#950	C₂²	semidirect
60. C₂×#950	C₂²	semidirect
61. C₂×#950	C₂²	semidirect
62. C₂×#949	C₂²	semidirect
63. C₂×#942	C₂²	semidirect
64. C₂×#942	C₂²	semidirect
65. C₂×#942	C₂²	semidirect
66. C₂²×#215	C₂²	semidirect
86. #5239	C₂²	semidirect
87. #5239	C₂²	semidirect
88. #5239	C₂²	semidirect
89. #5238	C₂²	semidirect
92. #5228	C₂²	semidirect
93. #5228	C₂²	semidirect
94. #5228	C₂²	semidirect
95. #5227	C₂²	semidirect
96. #5207	C₂²	semidirect
97. C₂×#830	C₂²	semidirect
98. #5093	C₂²	semidirect
99. #5092	C₂²	semidirect
100. #5089	C₂²	semidirect
101. #5087	C₂²	semidirect
102. #5086	C₂²	semidirect
103. #5084	C₂²	semidirect
104. #5083	C₂²	semidirect
105. #5083	C₂²	semidirect
106. #5069	C₂²	semidirect
107. #5068	C₂²	semidirect
108. #5066	C₂²	semidirect
109. #5066	C₂²	semidirect
110. #5060	C₂²	semidirect
111. #5059	C₂²	semidirect
112. #5057	C₂²	semidirect
113. #5057	C₂²	semidirect
114. #5052	C₂²	semidirect
115. #5052	C₂²	semidirect
116. #5052	C₂²	semidirect
117. #5052	C₂²	semidirect
118. #5051	C₂²	semidirect
119. #5051	C₂²	semidirect
120. #5051	C₂²	semidirect
121. #5051	C₂²	semidirect
122. #5051	C₂²	semidirect
123. #5050	C₂²	semidirect
124. #5050	C₂²	semidirect
125. #5050	C₂²	semidirect
126. #5049	C₂²	semidirect
127. #5048	C₂²	semidirect
128. #5048	C₂²	semidirect
132. #5047	C₂²	semidirect
133. #5047	C₂²	semidirect
134. #5047	C₂²	semidirect
135. #5047	C₂²	semidirect
136. #5047	C₂²	semidirect
137. #5047	C₂²	semidirect
138. #5047	C₂²	semidirect
139. #5047	C₂²	semidirect
140. #5047	C₂²	semidirect
144. #5046	C₂²	semidirect
145. #5046	C₂²	semidirect
146. #5046	C₂²	semidirect
147. #5045	C₂²	semidirect
148. #5045	C₂²	semidirect
149. #5045	C₂²	semidirect
150. #5042	C₂²	semidirect
151. #5042	C₂²	semidirect
152. #5041	C₂²	semidirect
153. #5040	C₂²	semidirect
154. #5039	C₂²	semidirect
156. #5037	C₂²	semidirect
157. #5037	C₂²	semidirect
158. #5037	C₂²	semidirect
160. #5036	C₂²	semidirect
161. #5035	C₂²	semidirect
162. #5031	C₂²	semidirect
163. #5031	C₂²	semidirect
164. #5031	C₂²	semidirect
165. #5028	C₂²	semidirect
166. #5028	C₂²	semidirect
167. #5028	C₂²	semidirect
168. #5026	C₂²	semidirect
169. #5026	C₂²	semidirect
170. #5026	C₂²	semidirect
171. C₄×#215	C₂²	semidirect
172. C₄×#215	C₂²	semidirect
173. C₄×#215	C₂²	semidirect
174. #5019	C₂²	semidirect
175. #5016	C₂²	semidirect
176. #5014	C₂²	semidirect
177. C₄×#213	C₂²	semidirect
178. #5012	C₂²	semidirect
179. #5012	C₂²	semidirect
180. #5011	C₂²	semidirect
181. #5011	C₂²	semidirect
182. #5011	C₂²	semidirect
183. #5011	C₂²	semidirect
184. D₄×C₃⋊C₈	C₂²	semidirect
185. D₄×C₃⋊C₈	C₂²	semidirect
186. #5003	C₂²	semidirect
187. #5002	C₂²	semidirect
188. #5002	C₂²	semidirect
189. #5002	C₂²	semidirect
190. #5001	C₂²	semidirect
191. #5000	C₂²	semidirect
192. #5000	C₂²	semidirect
193. #4996	C₂²	semidirect
194. #4996	C₂²	semidirect
195. #4996	C₂²	semidirect
196. #4971	C₂²	semidirect
197. #4971	C₂²	semidirect
198. #4970	C₂²	semidirect
199. #4967	C₂²	semidirect
200. #4966	C₂²	semidirect
201. #4966	C₂²	semidirect
202. #4966	C₂²	semidirect
203. C₂×#809	C₂²	semidirect
204. #3541	D₃	semidirect
534. #556	C₂×D₃	semidirect
536. #554	C₂×D₃	semidirect
538. #553	C₂×D₃	semidirect
539. #552	C₂×D₃	semidirect
540. D₄×Q₈	C₂×D₃	semidirect
541. #548	C₂×D₃	semidirect
542. #548	C₂×D₃	semidirect
549. #547	C₂×D₃	semidirect
557. #542	C₂×D₃	semidirect
558. #541	C₂×D₃	semidirect
570. #525	C₂×D₃	semidirect
573. C₂×C₂²⋊Q₈	C₂×D₃	semidirect
1856. C₃	#61613	semidirect

Maximal subgroups

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

subgroup	index
C₃×#3541	2
#86040	2
#83665	2
#83664	2
#83636	2
#83635	2
#83617	2
#83615	2
#83600	2
#83598	2
#83560	2
#83559	2
#83545	2
#83544	2
#83543	2
#83524	2
#83522	2
#83464	2
#83460	2
#83452	2
#83447	2
#83428	2
#83424	2
#83413	2
#83404	2
#82932	2
#82926	2
#82919	2
#82737	2
#82735	2
#61613	3