Subgroups — #11680864

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	#86056	C₂	1	1	yes	maximal, characteristic, complemented
2	#86040	C₂	1	1	yes	maximal, characteristic, complemented
3	C₃×#2976	C₂	1	1	yes	maximal, characteristic, complemented
4	#79558	C₂	1	1	yes	maximal, characteristic, complemented
5	#79553	C₂	1	1	yes	maximal, characteristic, complemented
6	#79552	C₂	1	1	yes	maximal, characteristic, complemented
7	#79551	C₂	1	1	yes	maximal, characteristic, complemented
8	#79504	C₂	1	1	yes	maximal, characteristic, complemented
9	#79503	C₂	1	1	yes	maximal, characteristic, complemented
10	#79502	C₂	1	1	yes	maximal, characteristic, complemented
11	#79500	C₂	1	1	yes	maximal, characteristic, complemented
12	#79498	C₂	1	1	yes	maximal, characteristic, complemented
13	#79498	C₂	1	1	yes	maximal, characteristic, complemented
14	#79496	C₂	1	1	yes	maximal, characteristic, complemented
15	#79495	C₂	1	1	yes	maximal, characteristic, complemented
16	#79442	C₂	1	1	yes	maximal, characteristic, complemented
17	#79440	C₂	1	1	yes	maximal, characteristic, complemented
18	#79436	C₂	1	1	yes	maximal, characteristic, complemented
19	#79435	C₂	1	1	yes	maximal, characteristic, complemented
20	#79398	C₂	1	1	yes	maximal, characteristic, complemented
21	#79393	C₂	1	1	yes	maximal, characteristic, complemented
22	#79387	C₂	1	1	yes	maximal, characteristic, complemented
23	#79383	C₂	1	1	yes	maximal, characteristic, complemented
24	#78682	C₂	1	1	yes	maximal, characteristic, complemented
25	#78681	C₂	1	1	yes	maximal, characteristic, complemented
26	#78672	C₂	1	1	yes	maximal, characteristic, complemented
27	#78671	C₂	1	1	yes	maximal, characteristic, complemented
28	#78644	C₂	1	1	yes	maximal, characteristic, complemented
29	#78640	C₂	1	1	yes	maximal, characteristic, complemented
30	#78618	C₂	1	1	yes	maximal, characteristic, complemented
31	#78610	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×#525	C₂²	1	1	yes	characteristic
36	#5833	C₂²	1	1	yes	characteristic
37	#5825	C₂²	1	1	yes	characteristic
38	#5825	C₂²	1	1	yes	characteristic
39	#5791	C₂²	1	1	yes	characteristic
40	#5791	C₂²	1	1	yes	characteristic, complemented
41	C₂×#924	C₂²	1	1	yes	characteristic, complemented
42	C₂×#909	C₂²	1	1	yes	characteristic, complemented
43	C₂×#909	C₂²	1	1	yes	characteristic, complemented
44	C₂×#909	C₂²	1	1	yes	characteristic, complemented
45	C₂×#908	C₂²	1	1	yes	characteristic, complemented
46	C₂×#904	C₂²	1	1	yes	characteristic, complemented
47	C₂×#904	C₂²	1	1	yes	characteristic, complemented
48	C₂×#904	C₂²	1	1	yes	characteristic, complemented
49	C₂²×#204	C₂²	1	1	yes	characteristic, complemented
50	#5662	—	2	1	no	—
51	#5660	—	2	1	no	—
52	D₃×#123	—	2	1	no	—
53	D₃×#123	—	2	1	no	—
54	#5646	—	2	1	no	—
55	#5636	—	2	1	no	—
56	#5631	—	2	1	no	—
57	#5631	—	2	1	no	—
58	#5621	—	2	1	no	—
59	#5612	—	2	1	no	—
60	#5612	—	2	1	no	—
61	#5601	—	2	1	no	—
62	#5593	—	2	1	no	—
63	#5593	—	2	1	no	—
64	#5589	—	2	1	no	—
65	#5589	—	2	1	no	—
66	#5565	C₂²	1	1	yes	characteristic, complemented
67	#5552	C₂²	1	1	yes	characteristic, complemented
68	#5552	C₂²	1	1	yes	characteristic, complemented
69	#5551	C₂²	1	1	yes	characteristic
70	#5551	C₂²	1	1	yes	characteristic
71	#5551	C₂²	1	1	yes	characteristic
72	#5551	C₂²	1	1	yes	characteristic
73	#5551	C₂²	1	1	yes	characteristic, complemented
74	#5550	C₂²	1	1	yes	characteristic
75	#5550	C₂²	1	1	yes	characteristic
76	#5550	C₂²	1	1	yes	characteristic
77	#5550	C₂²	1	1	yes	characteristic
78	#5543	C₂²	1	1	yes	characteristic, complemented
79	#5542	C₂²	1	1	yes	characteristic, complemented
80	#5541	C₂²	1	1	yes	characteristic, complemented
81	D₄×Dic₆	C₂²	1	1	yes	characteristic, complemented
82	#5534	C₂²	1	1	yes	characteristic, complemented
83	#5526	C₂²	1	1	yes	characteristic
84	#5521	C₂²	1	1	yes	characteristic
85	#5518	C₂²	1	1	yes	characteristic, complemented
86	C₃×#436	C₂²	1	1	yes	characteristic, complemented
87	C₃×#436	C₂²	1	1	yes	characteristic, complemented
88	C₃×#435	C₂²	1	1	yes	characteristic, complemented
89	C₃×#435	C₂²	1	1	yes	characteristic, complemented
90	C₃×#435	C₂²	1	1	yes	characteristic, complemented
91	C₃×#435	C₂²	1	1	yes	characteristic, complemented
92	C₃×C₈×D₄	C₂²	1	1	yes	characteristic, complemented
93	C₃×C₈×D₄	C₂²	1	1	yes	characteristic, complemented
94	C₃×#433	C₂²	1	1	yes	characteristic, complemented
95	C₃×#433	C₂²	1	1	yes	characteristic, complemented
96	C₃×#408	C₂²	1	1	yes	characteristic
97	C₃×#408	C₂²	1	1	yes	characteristic
98	C₃×#407	C₂²	1	1	yes	characteristic, complemented
99	C₂×C₃×C₂²⋊C₈	C₂²	1	1	yes	characteristic, complemented
100	#5137	C₂²	1	1	yes	characteristic, complemented
101	#5137	C₂²	1	1	yes	characteristic, complemented
102	#5137	C₂²	1	1	yes	characteristic, complemented
103	#5137	C₂²	1	1	yes	characteristic, complemented
104	#5135	C₂²	1	1	yes	characteristic, complemented
105	#5134	C₂²	1	1	yes	characteristic, complemented
106	#5134	C₂²	1	1	yes	characteristic, complemented
107	#5134	C₂²	1	1	yes	characteristic, complemented
108	#5133	C₂²	1	1	yes	characteristic, complemented
109	#5133	C₂²	1	1	yes	characteristic, complemented
110	#5133	C₂²	1	1	yes	characteristic, complemented
111	#5131	C₂²	1	1	yes	characteristic, complemented
112	#5116	C₂²	1	1	yes	characteristic, complemented
113	#5116	C₂²	1	1	yes	characteristic, complemented
114	#5116	C₂²	1	1	yes	characteristic, complemented
115	#5116	C₂²	1	1	yes	characteristic, complemented
116	#5116	C₂²	1	1	yes	characteristic, complemented
117	#5114	C₂²	1	1	yes	characteristic, complemented
118	#5114	C₂²	1	1	yes	characteristic, complemented
119	#5114	C₂²	1	1	yes	characteristic, complemented
120	#5113	C₂²	1	1	yes	characteristic, complemented
121	#5113	C₂²	1	1	yes	characteristic, complemented
122	#5113	C₂²	1	1	yes	characteristic, complemented
123	C₂×#821	C₂²	1	1	yes	characteristic, complemented
124	#4849	C₂²	1	1	yes	characteristic, complemented
125	#4849	C₂²	1	1	yes	characteristic, complemented
126	#4849	C₂²	1	1	yes	characteristic, complemented
127	#4847	C₂²	1	1	yes	characteristic, complemented
128	#4847	C₂²	1	1	yes	characteristic, complemented
129	#4846	C₂²	1	1	yes	characteristic, complemented
130	#4845	C₂²	1	1	yes	characteristic, complemented
131	#4845	C₂²	1	1	yes	characteristic, complemented
132	#4845	C₂²	1	1	yes	characteristic, complemented
133	#4844	C₂²	1	1	yes	characteristic, complemented
134	#4844	C₂²	1	1	yes	characteristic, complemented
135	#4844	C₂²	1	1	yes	characteristic, complemented
136	#4842	C₂²	1	1	yes	characteristic, complemented
137	#4841	C₂²	1	1	yes	characteristic, complemented
138	#4841	C₂²	1	1	yes	characteristic, complemented
139	#4841	C₂²	1	1	yes	characteristic, complemented
140	#4739	C₂²	1	1	yes	characteristic, complemented
141	#4739	C₂²	1	1	yes	characteristic, complemented
142	#4739	C₂²	1	1	yes	characteristic, complemented
143	#4739	C₂²	1	1	yes	characteristic, complemented
144	#4739	C₂²	1	1	yes	characteristic, complemented
145	#4739	C₂²	1	1	yes	characteristic, complemented
146	#4738	C₂²	1	1	yes	characteristic, complemented
147	#4738	C₂²	1	1	yes	characteristic, complemented
148	#4737	C₂²	1	1	yes	characteristic, complemented
149	#4737	C₂²	1	1	yes	characteristic, complemented
150	#4736	C₂²	1	1	yes	characteristic, complemented
151	#4734	C₂²	1	1	yes	characteristic
152	#4734	C₂²	1	1	yes	characteristic, complemented
153	#4734	C₂²	1	1	yes	characteristic, complemented
154	#4734	C₂²	1	1	yes	characteristic, complemented
155	#4734	C₂²	1	1	yes	characteristic, complemented
156	#4733	C₂²	1	1	yes	characteristic
157	#4733	C₂²	1	1	yes	characteristic
158	#4733	C₂²	1	1	yes	characteristic
159	#4733	C₂²	1	1	yes	characteristic, complemented
160	#4733	C₂²	1	1	yes	characteristic, complemented
161	#4733	C₂²	1	1	yes	characteristic, complemented
162	#4733	C₂²	1	1	yes	characteristic, complemented
163	#4733	C₂²	1	1	yes	characteristic, complemented
164	#4733	C₂²	1	1	yes	characteristic, complemented
165	#4733	C₂²	1	1	yes	characteristic, complemented
166	#4733	C₂²	1	1	yes	characteristic, complemented
167	#4733	C₂²	1	1	yes	characteristic, complemented
168	#4733	C₂²	1	1	yes	characteristic, complemented
169	#4733	C₂²	1	1	yes	characteristic, complemented
170	#4733	C₂²	1	1	yes	characteristic, complemented
171	#4732	C₂²	1	1	yes	characteristic
172	#4732	C₂²	1	1	yes	characteristic, complemented
173	#4731	C₂²	1	1	yes	characteristic
174	#4731	C₂²	1	1	yes	characteristic
175	#4731	C₂²	1	1	yes	characteristic
176	#4731	C₂²	1	1	yes	characteristic, complemented
177	#4731	C₂²	1	1	yes	characteristic, complemented
178	#4731	C₂²	1	1	yes	characteristic, complemented
179	#4723	C₂²	1	1	yes	characteristic, complemented
180	#4723	C₂²	1	1	yes	characteristic, complemented
181	#4723	C₂²	1	1	yes	characteristic, complemented
182	#4723	C₂²	1	1	yes	characteristic, complemented
183	#4723	C₂²	1	1	yes	characteristic, complemented
184	#4723	C₂²	1	1	yes	characteristic, complemented
185	#4722	C₂²	1	1	yes	characteristic, complemented
186	#4721	C₂²	1	1	yes	characteristic, complemented
187	#4721	C₂²	1	1	yes	characteristic, complemented
188	#4715	C₂²	1	1	yes	characteristic, complemented
189	#4715	C₂²	1	1	yes	characteristic, complemented
190	#4714	C₂²	1	1	yes	characteristic, complemented
191	#4711	C₂²	1	1	yes	characteristic, complemented
192	#4710	C₂²	1	1	yes	characteristic, complemented
193	#4710	C₂²	1	1	yes	characteristic, complemented
194	#4710	C₂²	1	1	yes	characteristic, complemented
195	#4703	C₂²	1	1	yes	characteristic, complemented
196	#4699	C₂²	1	1	yes	characteristic, complemented
197	#4697	C₂²	1	1	yes	characteristic, complemented
198	#4696	C₂²	1	1	yes	characteristic, complemented
199	C₄×D₂₄	C₂²	1	1	yes	characteristic, complemented
200	C₄×#204	C₂²	1	1	yes	characteristic, complemented
201	C₄×#204	C₂²	1	1	yes	characteristic, complemented
202	C₄×#204	C₂²	1	1	yes	characteristic, complemented
203	#4681	C₂²	1	1	yes	characteristic, complemented
204	#3541	—	3	1	no	—
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	D₃	1	1	yes	characteristic, complemented
235	C₂×C₃×#41	C₂³	1	1	yes	characteristic
236	C₂³×C₃×C₄	C₂³	1	1	yes	characteristic
237	C₂²×#67	—	2	1	no	—
238	#1009	—	4	2	no	—
239	#1009	—	4	2	no	—
240	C₂×#239	—	2	1	no	—
241	C₂×D₃×D₄	—	2	1	no	—
242	C₂×D₃×D₄	—	2	1	no	—
243	C₂×D₃×D₄	—	2	1	no	—
244	C₂×#235	—	2	1	no	—
245	C₂×#235	—	2	1	no	—
246	C₂×#235	—	4	2	no	—
247	C₂×#235	—	4	2	no	—
248	C₂×#235	C₂³	1	1	yes	characteristic
249	C₂×#235	C₂³	1	1	yes	characteristic
250	C₂×#235	C₂³	1	1	yes	characteristic
251	C₂×#235	C₂³	1	1	yes	characteristic
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	C₂²×D₁₂	C₂³	1	1	yes	characteristic
258	C₂²×D₁₂	C₂³	1	1	yes	characteristic
259	C₂²×D₁₂	C₂³	1	1	yes	characteristic
260	C₂²×C₄×D₃	—	2	1	no	—
261	C₂²×Dic₆	C₂³	1	1	yes	characteristic
262	C₂²×Dic₆	C₂³	1	1	yes	characteristic
263	C₂²×Dic₆	C₂³	1	1	yes	characteristic
264	C₂×C₃×M₁₆	C₂³	1	1	yes	characteristic
265	C₂×C₃×M₁₆	C₂³	1	1	yes	characteristic
266	C₂×C₃×M₁₆	C₂³	1	1	yes	characteristic
267	C₂×C₃×M₁₆	C₂³	1	1	yes	characteristic
268	C₂²×C₃×C₈	C₂³	1	1	yes	characteristic
269	C₂²×C₃×C₈	C₂³	1	1	yes	characteristic
270	C₂²×C₃×C₈	C₂³	1	1	yes	characteristic
271	C₂²×C₃×C₈	C₂³	1	1	yes	characteristic
272	C₃×#123	D₄	1	1	yes	characteristic
273	C₃×#123	D₄	1	1	yes	characteristic
274	C₃×C₂²⋊Q₈	D₄	1	1	yes	characteristic
275	C₃×C₂²⋊Q₈	D₄	1	1	yes	characteristic
276	C₃×#121	D₄	1	1	yes	characteristic
277	C₃×#121	D₄	1	1	yes	characteristic
278	C₃×#120	D₄	1	1	yes	characteristic
279	C₃×#120	D₄	1	1	yes	characteristic
280	C₃×C₄×D₄	C₂³	1	1	yes	characteristic
281	C₃×C₄×D₄	C₂³	1	1	yes	characteristic
282	C₃×C₄×D₄	C₂³	1	1	yes	characteristic
283	C₃×C₄×D₄	C₂³	1	1	yes	characteristic
284	C₃×#117	C₂³	1	1	yes	characteristic
285	#953	—	2	1	no	—
286	#953	—	2	1	no	—
287	C₂×#217	—	2	1	no	—
288	#946	—	2	1	no	—
289	#944	—	2	1	no	—
290	#944	—	2	1	no	—
291	#939	—	2	1	no	—
292	#939	—	2	1	no	—
293	#939	—	2	1	no	—
294	#939	—	2	1	no	—
295	#939	—	2	1	no	—
296	#938	—	2	1	no	—
297	#938	—	2	1	no	—
298	#938	—	2	1	no	—
299	#938	—	2	1	no	—
300	#938	—	2	1	no	—
301	#938	—	2	1	no	—
302	#937	—	2	1	no	—
303	#937	—	2	1	no	—
304	#937	—	2	1	no	—
305	#937	—	2	1	no	—
306	#936	—	2	1	no	—
307	#936	—	2	1	no	—
308	#936	—	2	1	no	—
309	#935	—	2	1	no	—
310	#935	—	2	1	no	—
311	#935	—	2	1	no	—
312	#935	—	2	1	no	—
313	#935	—	2	1	no	—
314	D₄×Dic₃	—	2	1	no	—
315	D₄×Dic₃	—	2	1	no	—
316	#930	C₂³	1	1	yes	characteristic
317	#930	C₂³	1	1	yes	characteristic
318	#930	C₂³	1	1	yes	characteristic
319	#930	C₂³	1	1	yes	characteristic
320	#930	C₂³	1	1	yes	characteristic
321	#929	—	2	1	no	—
322	#929	—	2	1	no	—
323	C₄×#67	—	2	1	no	—
324	C₄×#67	—	2	1	no	—
325	C₄×#67	—	2	1	no	—
326	C₄×#67	—	2	1	no	—
327	#926	C₂³	1	1	yes	characteristic
328	#926	C₂³	1	1	yes	characteristic
329	#926	C₂³	1	1	yes	characteristic
330	C₂×C₄⋊Dic₃	C₂³	1	1	yes	characteristic
331	C₂×C₄⋊Dic₃	C₂³	1	1	yes	characteristic
332	#924	—	2	1	no	—
333	#924	—	2	1	no	—
334	#924	C₂³	1	1	yes	characteristic
335	#924	C₂³	1	1	yes	characteristic
336	#924	C₂³	1	1	yes	characteristic
337	#924	C₂³	1	1	yes	characteristic
338	#924	C₂³	1	1	yes	characteristic
339	#924	C₂³	1	1	yes	characteristic
340	#924	C₂³	1	1	yes	characteristic
341	#924	C₂³	1	1	yes	characteristic
342	#924	C₂³	1	1	yes	characteristic
343	#924	C₂³	1	1	yes	characteristic
344	#924	C₂³	1	1	yes	characteristic
345	#924	C₂³	1	1	yes	characteristic
346	#924	C₂³	1	1	yes	characteristic
347	#924	C₂³	1	1	yes	characteristic
348	#924	C₂³	1	1	yes	characteristic
349	C₂×Dic₃⋊C₄	—	2	1	no	—
350	#909	—	4	2	no	—
351	#909	—	4	2	no	—
352	#909	—	4	2	no	—
353	#908	—	4	2	no	—
354	C₂×Dic₁₂	C₂³	1	1	yes	characteristic
355	C₂×Dic₁₂	C₂³	1	1	yes	characteristic
356	C₂×Dic₁₂	C₂³	1	1	yes	characteristic
357	C₂×Dic₁₂	C₂³	1	1	yes	characteristic
358	C₂×Dic₁₂	C₂³	1	1	yes	characteristic
359	C₂×Dic₁₂	C₂³	1	1	yes	characteristic
360	C₂×Dic₁₂	C₂³	1	1	yes	characteristic
361	C₂×Dic₁₂	C₂³	1	1	yes	characteristic
362	C₂×Dic₁₂	C₂³	1	1	yes	characteristic
363	#904	—	4	2	no	—
364	#904	—	4	2	no	—
365	#904	—	4	2	no	—
366	C₂×D₂₄	C₂³	1	1	yes	characteristic
367	C₂×D₂₄	C₂³	1	1	yes	characteristic
368	C₂×D₂₄	C₂³	1	1	yes	characteristic
369	C₂×#204	—	4	2	no	—
370	C₂×#204	C₂³	1	1	yes	characteristic
371	C₂×#204	C₂³	1	1	yes	characteristic
372	C₂×#204	C₂³	1	1	yes	characteristic
373	C₂×#204	C₂³	1	1	yes	characteristic
374	C₂×#204	C₂³	1	1	yes	characteristic
375	C₂×#204	C₂³	1	1	yes	characteristic
376	C₂×#204	C₂³	1	1	yes	characteristic
377	C₂×#204	C₂³	1	1	yes	characteristic
378	C₂×#204	C₂³	1	1	yes	characteristic
379	C₂×#204	C₂³	1	1	yes	characteristic
380	C₂×#204	C₂³	1	1	yes	characteristic
381	C₂×#204	C₂³	1	1	yes	characteristic
382	#898	—	2	1	no	—
383	#898	—	2	1	no	—
384	#897	—	2	1	no	—
385	#897	—	2	1	no	—
386	#896	—	2	1	no	—
387	#896	—	2	1	no	—
388	#896	—	2	1	no	—
389	#894	—	2	1	no	—
390	#894	—	2	1	no	—
391	#894	—	2	1	no	—
392	#894	—	2	1	no	—
393	#893	—	2	1	no	—
394	#893	—	2	1	no	—
395	D₃×C₄⋊C₄	—	2	1	no	—
396	D₃×C₄⋊C₄	—	2	1	no	—
397	D₃×C₄⋊C₄	—	2	1	no	—
398	D₃×C₄⋊C₄	—	2	1	no	—
399	D₃×C₄⋊C₄	—	2	1	no	—
400	#890	—	2	1	no	—
401	#889	—	2	1	no	—
402	#889	—	2	1	no	—
403	#889	—	2	1	no	—
404	#888	—	2	1	no	—
405	#887	—	2	1	no	—
406	#886	—	2	1	no	—
407	#886	—	2	1	no	—
408	#885	—	2	1	no	—
409	#885	—	2	1	no	—
410	#885	—	2	1	no	—
411	#884	—	2	1	no	—
412	#884	—	2	1	no	—
413	#884	—	2	1	no	—
414	#884	—	2	1	no	—
415	#883	—	2	1	no	—
416	#883	—	2	1	no	—
417	#883	—	2	1	no	—
418	#883	—	2	1	no	—
419	#883	—	2	1	no	—
420	#883	—	2	1	no	—
421	#883	—	2	1	no	—
422	#883	—	2	1	no	—
423	#883	—	2	1	no	—
424	#883	—	2	1	no	—
425	#883	—	2	1	no	—
426	#883	—	2	1	no	—
427	#67⋊C₄	—	2	1	no	—
428	#67⋊C₄	—	2	1	no	—
429	#67⋊C₄	—	2	1	no	—
430	D₃×C₂²⋊C₄	—	2	1	no	—
431	D₃×C₂²⋊C₄	—	2	1	no	—
432	D₃×C₂²⋊C₄	—	2	1	no	—
433	D₃×C₂²⋊C₄	—	2	1	no	—
434	D₃×C₂²⋊C₄	—	2	1	no	—
435	D₃×C₂²⋊C₄	—	2	1	no	—
436	#879	—	2	1	no	—
437	#879	—	2	1	no	—
438	#879	—	2	1	no	—
439	#879	—	2	1	no	—
440	#879	—	2	1	no	—
441	#878	—	2	1	no	—
442	#878	—	2	1	no	—
443	#878	—	2	1	no	—
444	#878	—	2	1	no	—
445	#877	—	2	1	no	—
446	#875	C₂³	1	1	yes	characteristic
447	#875	C₂³	1	1	yes	characteristic
448	#875	C₂³	1	1	yes	characteristic
449	C₄×D₁₂	C₂³	1	1	yes	characteristic
450	C₄×D₁₂	C₂³	1	1	yes	characteristic
451	C₄×D₁₂	C₂³	1	1	yes	characteristic
452	C₄×D₁₂	C₂³	1	1	yes	characteristic
453	C₄×D₁₂	C₂³	1	1	yes	characteristic
454	#870	C₂³	1	1	yes	characteristic
455	#869	C₂³	1	1	yes	characteristic
456	#869	C₂³	1	1	yes	characteristic
457	#869	C₂³	1	1	yes	characteristic
458	#869	C₂³	1	1	yes	characteristic
459	C₄×Dic₆	C₂³	1	1	yes	characteristic
460	C₄×Dic₆	C₂³	1	1	yes	characteristic
461	C₄×Dic₆	C₂³	1	1	yes	characteristic
462	C₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
463	C₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
464	C₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
465	C₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
466	C₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
467	C₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
468	C₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
469	C₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
470	C₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
471	C₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
472	C₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
473	C₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
474	C₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
475	C₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
476	C₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
477	C₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
478	C₃×#97	C₂³	1	1	yes	characteristic
479	C₃×#97	C₂³	1	1	yes	characteristic
480	C₃×C₄×C₈	C₂³	1	1	yes	characteristic
481	C₃×C₄×C₈	C₂³	1	1	yes	characteristic
482	#821	C₂³	1	1	yes	characteristic
483	#821	C₂³	1	1	yes	characteristic
484	#821	C₂³	1	1	yes	characteristic
485	#821	C₂³	1	1	yes	characteristic
486	#821	C₂³	1	1	yes	characteristic
487	#821	C₂³	1	1	yes	characteristic
488	#821	C₂³	1	1	yes	characteristic
489	#821	C₂³	1	1	yes	characteristic
490	#821	C₂³	1	1	yes	characteristic
491	#821	C₂³	1	1	yes	characteristic
492	#821	C₂³	1	1	yes	characteristic
493	#821	C₂³	1	1	yes	characteristic
494	#821	C₂³	1	1	yes	characteristic
495	#821	C₂³	1	1	yes	characteristic
496	#818	C₂³	1	1	yes	characteristic
497	#818	C₂³	1	1	yes	characteristic
498	#818	C₂³	1	1	yes	characteristic
499	#818	C₂³	1	1	yes	characteristic
500	#817	C₂³	1	1	yes	characteristic
501	#817	C₂³	1	1	yes	characteristic
502	#817	C₂³	1	1	yes	characteristic
503	#817	C₂³	1	1	yes	characteristic
504	#816	C₂³	1	1	yes	characteristic
505	#816	C₂³	1	1	yes	characteristic
506	#816	C₂³	1	1	yes	characteristic
507	#816	C₂³	1	1	yes	characteristic
508	#816	C₂³	1	1	yes	characteristic
509	#816	C₂³	1	1	yes	characteristic
510	#816	C₂³	1	1	yes	characteristic
511	#816	C₂³	1	1	yes	characteristic
512	#816	C₂³	1	1	yes	characteristic
513	#816	C₂³	1	1	yes	characteristic
514	#816	C₂³	1	1	yes	characteristic
515	#816	C₂³	1	1	yes	characteristic
516	#816	C₂³	1	1	yes	characteristic
517	#816	C₂³	1	1	yes	characteristic
518	#816	C₂³	1	1	yes	characteristic
519	#816	C₂³	1	1	yes	characteristic
520	#816	C₂³	1	1	yes	characteristic
521	#816	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	—	6	1	no	—
533	#562	—	6	1	no	—
534	#556	—	3	1	no	—
535	#554	—	3	1	no	—
536	#554	—	6	1	no	—
537	#553	—	3	1	no	—
538	#553	—	6	1	no	—
539	#552	—	3	1	no	—
540	D₄×Q₈	—	3	1	no	—
541	#548	—	3	1	no	—
542	#548	—	3	1	no	—
543	#547	—	3	1	no	—
544	#547	—	3	1	no	—
545	#547	—	3	1	no	—
546	#547	—	3	1	no	—
547	#547	—	3	1	no	—
548	#547	—	6	1	no	—
549	#547	—	6	1	no	—
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	—	3	1	no	—
557	#542	—	6	1	no	—
558	#541	—	3	1	no	—
559	#539	—	6	1	no	—
560	#538	—	6	1	no	—
561	#538	—	6	1	no	—
562	#537	—	3	1	no	—
563	#536	—	3	1	no	—
564	#536	—	3	1	no	—
565	#536	—	3	1	no	—
566	#534	—	6	1	no	—
567	#534	—	6	1	no	—
568	#525	—	3	1	no	—
569	#525	—	3	1	no	—
570	#525	C₂×D₃	1	1	yes	characteristic
571	C₂×#123	—	6	1	no	—
572	C₂×#123	—	6	1	no	—
573	C₂×C₂²⋊Q₈	—	3	1	no	—
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	C₂×D₃	1	1	yes	characteristic, complemented
672	#436	C₂×D₃	1	1	yes	characteristic, complemented
673	#435	C₂×D₃	1	1	yes	characteristic, complemented
674	#435	C₂×D₃	1	1	yes	characteristic, complemented
675	#435	C₂×D₃	1	1	yes	characteristic, complemented
676	#435	C₂×D₃	1	1	yes	characteristic, complemented
677	C₈×D₄	C₂×D₃	1	1	yes	characteristic, complemented
678	C₈×D₄	C₂×D₃	1	1	yes	characteristic, complemented
679	#433	C₂×D₃	1	1	yes	characteristic, complemented
680	#433	C₂×D₃	1	1	yes	characteristic, complemented
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	C₂×D₃	1	1	yes	characteristic
690	#408	C₂×D₃	1	1	yes	characteristic
691	#407	C₂×D₃	1	1	yes	characteristic, complemented
692	C₂×C₂²⋊C₈	C₂×D₃	1	1	yes	characteristic, complemented
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	C₂×C₃×Q₈	C₂×D₄	1	1	yes	characteristic
700	C₂×C₃×D₄	C₂×D₄	1	1	yes	characteristic
701	C₂×C₃×D₄	C₂×D₄	1	1	yes	characteristic
702	C₂×C₃×D₄	C₂×D₄	1	1	yes	characteristic
703	C₂×C₃×D₄	C₂×D₄	1	1	yes	characteristic
704	C₂×C₃×D₄	C₂×D₄	1	1	yes	characteristic
705	C₂×C₃×D₄	C₂×D₄	1	1	yes	characteristic
706	C₂×C₃×D₄	C₂×D₄	1	1	yes	characteristic
707	C₂²×C₃×C₄	—	4	1	no	—
708	C₂²×C₃×C₄	—	4	1	no	—
709	C₂²×C₃×C₄	C₂×D₄	1	1	yes	characteristic
710	C₂²×C₃×C₄	C₂×D₄	1	1	yes	characteristic
711	C₂²×C₃×C₄	C₂×D₄	1	1	yes	characteristic
712	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
713	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
714	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
715	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
716	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
717	C₂×#67	—	2	1	no	—
718	C₂×#67	—	2	1	no	—
719	C₂×#67	—	2	1	no	—
720	C₂×#67	—	2	1	no	—
721	C₂×#67	—	2	1	no	—
722	C₂×#67	—	2	1	no	—
723	C₂×#67	—	2	1	no	—
724	C₂×#67	—	2	1	no	—
725	C₂×#67	—	2	1	no	—
726	C₂×#67	—	2	1	no	—
727	C₂×#67	—	2	1	no	—
728	C₂×#67	—	2	1	no	—
729	C₂×#67	—	2	1	no	—
730	C₂×#67	—	2	1	no	—
731	C₂×#67	—	4	4	no	—
732	C₂²×Dic₃	—	2	1	no	—
733	C₂²×Dic₃	—	2	1	no	—
734	C₂²×Dic₃	—	2	1	no	—
735	C₂²×Dic₃	—	2	1	no	—
736	C₂²×Dic₃	—	2	1	no	—
737	#239	—	4	4	no	—
738	D₃×D₄	—	4	4	no	—
739	D₃×D₄	—	4	4	no	—
740	D₃×D₄	—	4	4	no	—
741	#235	—	2	2	no	—
742	#235	—	2	2	no	—
743	#235	—	2	2	no	—
744	#235	—	2	2	no	—
745	#235	—	2	2	no	—
746	#235	—	2	2	no	—
747	#235	—	4	1	no	—
748	#235	—	4	1	no	—
749	#235	—	4	1	no	—
750	#235	—	4	1	no	—
751	#235	—	4	1	no	—
752	#235	—	4	1	no	—
753	#235	—	4	1	no	—
754	#235	—	4	1	no	—
755	#235	—	4	1	no	—
756	#235	—	4	1	no	—
757	#235	—	4	1	no	—
758	#235	—	4	1	no	—
759	#235	—	4	4	no	—
760	#235	—	4	4	no	—
761	C₂×D₁₂	—	2	1	no	—
762	C₂×D₁₂	—	2	2	no	—
763	C₂×D₁₂	—	2	2	no	—
764	C₂×D₁₂	—	2	2	no	—
765	C₂×D₁₂	—	2	2	no	—
766	C₂×D₁₂	—	2	1	no	—
767	C₂×D₁₂	—	2	1	no	—
768	C₂×D₁₂	—	4	1	no	—
769	C₂×D₁₂	—	4	1	no	—
770	C₂×D₁₂	C₂⁴	1	1	yes	characteristic
771	C₂×D₁₂	C₂⁴	1	1	yes	characteristic
772	C₂×D₁₂	C₂⁴	1	1	yes	characteristic
773	C₂×D₁₂	C₂⁴	1	1	yes	characteristic
774	C₂×C₄×D₃	—	2	1	no	—
775	C₂×C₄×D₃	—	2	1	no	—
776	C₂×C₄×D₃	—	2	1	no	—
777	C₂×C₄×D₃	—	2	1	no	—
778	C₂×C₄×D₃	—	2	1	no	—
779	C₂×C₄×D₃	—	2	1	no	—
780	C₂×C₄×D₃	—	2	1	no	—
781	C₂×C₄×D₃	—	2	1	no	—
782	C₂×C₄×D₃	—	2	1	no	—
783	C₂×C₄×D₃	—	2	1	no	—
784	C₂×C₄×D₃	—	2	1	no	—
785	C₂×C₄×D₃	—	2	1	no	—
786	C₂×C₄×D₃	—	2	1	no	—
787	C₂×C₄×D₃	—	2	1	no	—
788	C₂×C₄×D₃	—	4	4	no	—
789	C₂×Dic₆	—	2	1	no	—
790	C₂×Dic₆	—	2	1	no	—
791	C₂×Dic₆	—	2	1	no	—
792	C₂×Dic₆	—	2	1	no	—
793	C₂×Dic₆	—	4	1	no	—
794	C₂×Dic₆	—	4	1	no	—
795	C₂×Dic₆	—	4	1	no	—
796	C₂×Dic₆	—	4	1	no	—
797	C₂×Dic₆	—	4	1	no	—
798	C₂×Dic₆	—	4	1	no	—
799	C₂×Dic₆	C₂⁴	1	1	yes	characteristic
800	C₂×Dic₆	C₂⁴	1	1	yes	characteristic
801	C₂×Dic₆	C₂⁴	1	1	yes	characteristic
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×M₁₆	—	4	1	no	—
806	C₃×M₁₆	—	4	1	no	—
807	C₃×M₁₆	—	4	1	no	—
808	C₃×M₁₆	—	4	1	no	—
809	C₂×C₃×C₈	—	4	1	no	—
810	C₂×C₃×C₈	—	4	1	no	—
811	C₂×C₃×C₈	—	4	1	no	—
812	C₂×C₃×C₈	—	4	1	no	—
813	C₂×C₃×C₈	C₂⁴	1	1	yes	characteristic
814	C₂×C₃×C₈	C₂⁴	1	1	yes	characteristic
815	C₂×C₃×C₈	C₂⁴	1	1	yes	characteristic
816	C₂×C₃×C₈	C₂⁴	1	1	yes	characteristic
817	C₂×C₃×C₈	C₂⁴	1	1	yes	characteristic
818	C₂×C₃×C₈	C₂⁴	1	1	yes	characteristic
819	C₂×C₃×C₈	C₂⁴	1	1	yes	characteristic
820	C₂×C₃×C₈	C₂⁴	1	1	yes	characteristic
821	C₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
822	C₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
823	C₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
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×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
828	C₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
829	C₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
830	C₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
831	C₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
832	C₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
833	C₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
834	C₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
835	C₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
836	C₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
837	C₃×C₄²	C₂⁴	1	1	yes	characteristic
838	C₃×C₄²	C₂⁴	1	1	yes	characteristic
839	#217	—	2	1	no	—
840	#217	—	2	1	no	—
841	#217	—	2	1	no	—
842	#217	—	2	1	no	—
843	#217	—	2	1	no	—
844	#217	—	2	1	no	—
845	#217	—	2	1	no	—
846	#217	—	2	1	no	—
847	#217	—	2	1	no	—
848	#217	—	2	1	no	—
849	#217	—	2	1	no	—
850	#217	—	2	1	no	—
851	#217	—	2	1	no	—
852	#217	—	2	1	no	—
853	#217	—	2	1	no	—
854	#217	—	2	1	no	—
855	#217	—	2	1	no	—
856	#217	—	2	1	no	—
857	(C₂×D₃)⋊C₄	—	2	1	no	—
858	(C₂×D₃)⋊C₄	—	2	1	no	—
859	(C₂×D₃)⋊C₄	—	2	1	no	—
860	(C₂×D₃)⋊C₄	—	2	1	no	—
861	(C₂×D₃)⋊C₄	—	2	1	no	—
862	(C₂×D₃)⋊C₄	—	2	1	no	—
863	(C₂×D₃)⋊C₄	—	2	1	no	—
864	(C₂×D₃)⋊C₄	—	2	1	no	—
865	(C₂×D₃)⋊C₄	—	2	1	no	—
866	(C₂×D₃)⋊C₄	—	2	1	no	—
867	(C₂×D₃)⋊C₄	—	2	1	no	—
868	(C₂×D₃)⋊C₄	—	2	1	no	—
869	(C₂×D₃)⋊C₄	—	2	1	no	—
870	(C₂×D₃)⋊C₄	—	2	1	no	—
871	(C₂×D₃)⋊C₄	—	2	1	no	—
872	(C₂×D₃)⋊C₄	—	2	1	no	—
873	C₄⋊Dic₃	—	2	1	no	—
874	C₄⋊Dic₃	—	2	1	no	—
875	C₄⋊Dic₃	—	2	1	no	—
876	C₄⋊Dic₃	—	2	1	no	—
877	C₄⋊Dic₃	—	2	1	no	—
878	C₄⋊Dic₃	—	2	1	no	—
879	C₄⋊Dic₃	—	2	1	no	—
880	C₄⋊Dic₃	—	2	1	no	—
881	C₄⋊Dic₃	—	2	1	no	—
882	C₄⋊Dic₃	C₂⁴	1	1	yes	characteristic
883	C₄⋊Dic₃	C₂⁴	1	1	yes	characteristic
884	C₄⋊Dic₃	C₂⁴	1	1	yes	characteristic
885	C₄⋊Dic₃	C₂⁴	1	1	yes	characteristic
886	C₄⋊Dic₃	C₂⁴	1	1	yes	characteristic
887	C₄⋊Dic₃	C₂⁴	1	1	yes	characteristic
888	Dic₃⋊C₄	—	2	1	no	—
889	Dic₃⋊C₄	—	2	1	no	—
890	Dic₃⋊C₄	—	2	1	no	—
891	Dic₃⋊C₄	—	2	1	no	—
892	Dic₃⋊C₄	—	2	1	no	—
893	Dic₃⋊C₄	—	2	1	no	—
894	Dic₃⋊C₄	—	2	1	no	—
895	Dic₃⋊C₄	—	2	1	no	—
896	Dic₃⋊C₄	—	2	1	no	—
897	Dic₃⋊C₄	—	2	1	no	—
898	Dic₃⋊C₄	—	2	1	no	—
899	Dic₃⋊C₄	—	2	1	no	—
900	Dic₃⋊C₄	—	2	1	no	—
901	Dic₃⋊C₄	—	2	1	no	—
902	Dic₃⋊C₄	—	2	1	no	—
903	Dic₃⋊C₄	—	2	1	no	—
904	Dic₃⋊C₄	—	2	1	no	—
905	Dic₃⋊C₄	—	2	1	no	—
906	Dic₃⋊C₄	—	2	1	no	—
907	Dic₃⋊C₄	—	2	1	no	—
908	C₄×Dic₃	—	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	—	2	1	no	—
914	Dic₁₂	—	4	1	no	—
915	Dic₁₂	—	4	1	no	—
916	Dic₁₂	—	4	1	no	—
917	Dic₁₂	—	4	1	no	—
918	Dic₁₂	—	4	1	no	—
919	Dic₁₂	—	4	1	no	—
920	Dic₁₂	—	4	1	no	—
921	Dic₁₂	—	4	1	no	—
922	Dic₁₂	—	4	1	no	—
923	D₂₄	—	2	2	no	—
924	D₂₄	—	2	2	no	—
925	D₂₄	—	4	1	no	—
926	#204	—	2	2	no	—
927	#204	—	2	2	no	—
928	#204	—	2	2	no	—
929	#204	—	2	2	no	—
930	#204	—	2	2	no	—
931	#204	—	2	2	no	—
932	#204	—	4	1	no	—
933	#204	—	4	1	no	—
934	#204	—	4	1	no	—
935	#204	—	4	1	no	—
936	#204	—	4	1	no	—
937	#204	—	4	1	no	—
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	—	3	1	no	—
948	C₂×#41	—	3	1	no	—
949	C₂×#41	—	6	1	no	—
950	C₂×#41	—	6	1	no	—
951	C₂×#41	—	6	1	no	—
952	C₂×#41	—	12	2	no	—
953	C₂×#41	—	12	2	no	—
954	C₂×#41	C₂²×D₃	1	1	yes	characteristic
955	C₂²×Q₈	—	3	1	no	—
956	C₂²×Q₈	—	3	1	no	—
957	C₂²×Q₈	—	3	1	no	—
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	C₂²×D₃	1	1	yes	characteristic
1000	C₂×M₁₆	C₂²×D₃	1	1	yes	characteristic
1001	C₂×M₁₆	C₂²×D₃	1	1	yes	characteristic
1002	C₂×M₁₆	C₂²×D₃	1	1	yes	characteristic
1003	C₂²×C₈	C₂²×D₃	1	1	yes	characteristic
1004	C₂²×C₈	C₂²×D₃	1	1	yes	characteristic
1005	C₂²×C₈	C₂²×D₃	1	1	yes	characteristic
1006	C₂²×C₈	C₂²×D₃	1	1	yes	characteristic
1007	C₄⋊Q₈	—	3	1	no	—
1008	C₄⋊Q₈	—	3	1	no	—
1009	C₄⋊Q₈	—	3	1	no	—
1010	C₄⋊Q₈	—	3	1	no	—
1011	C₄⋊Q₈	—	6	1	no	—
1012	C₄⋊Q₈	—	6	1	no	—
1013	C₄⋊Q₈	—	6	1	no	—
1014	#126	—	6	1	no	—
1015	#126	—	6	1	no	—
1016	#126	—	6	1	no	—
1017	#126	—	6	1	no	—
1018	#126	—	6	1	no	—
1019	#126	—	6	1	no	—
1020	#126	—	6	1	no	—
1021	#125	—	3	1	no	—
1022	#125	—	6	1	no	—
1023	#125	—	6	1	no	—
1024	#125	—	6	1	no	—
1025	#125	—	6	1	no	—
1026	#124	—	3	1	no	—
1027	#124	—	3	1	no	—
1028	#124	—	3	1	no	—
1029	#124	—	6	1	no	—
1030	#124	—	6	1	no	—
1031	#124	—	6	1	no	—
1032	#124	—	6	1	no	—
1033	#124	—	6	1	no	—
1034	#124	—	6	1	no	—
1035	#123	—	6	1	no	—
1036	#123	—	6	1	no	—
1037	#123	—	6	1	no	—
1038	#123	—	6	1	no	—
1039	#123	—	6	1	no	—
1040	#123	—	6	1	no	—
1041	#123	—	6	1	no	—
1042	#123	—	6	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	D₁₂	1	1	yes	characteristic
1061	#123	D₁₂	1	1	yes	characteristic
1062	C₂²⋊Q₈	—	3	1	no	—
1063	C₂²⋊Q₈	—	3	1	no	—
1064	C₂²⋊Q₈	—	3	1	no	—
1065	C₂²⋊Q₈	—	3	1	no	—
1066	C₂²⋊Q₈	—	3	1	no	—
1067	C₂²⋊Q₈	—	3	1	no	—
1068	C₂²⋊Q₈	—	3	1	no	—
1069	C₂²⋊Q₈	—	3	1	no	—
1070	C₂²⋊Q₈	—	3	1	no	—
1071	C₂²⋊Q₈	—	3	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	—	6	1	no	—
1078	C₂²⋊Q₈	—	6	1	no	—
1079	C₂²⋊Q₈	—	6	1	no	—
1080	C₂²⋊Q₈	—	6	1	no	—
1081	C₂²⋊Q₈	—	6	1	no	—
1082	C₂²⋊Q₈	—	6	1	no	—
1083	C₂²⋊Q₈	—	6	1	no	—
1084	C₂²⋊Q₈	—	6	1	no	—
1085	C₂²⋊Q₈	—	6	1	no	—
1086	C₂²⋊Q₈	—	6	1	no	—
1087	C₂²⋊Q₈	—	6	1	no	—
1088	C₂²⋊Q₈	—	6	1	no	—
1089	C₂²⋊Q₈	D₁₂	1	1	yes	characteristic
1090	C₂²⋊Q₈	D₁₂	1	1	yes	characteristic
1091	#121	—	3	1	no	—
1092	#121	—	3	1	no	—
1093	#121	—	3	1	no	—
1094	#121	—	3	1	no	—
1095	#121	—	3	1	no	—
1096	#121	—	6	1	no	—
1097	#121	—	6	1	no	—
1098	#121	—	6	1	no	—
1099	#121	—	6	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	—	6	1	no	—
1109	#121	—	6	1	no	—
1110	#121	—	6	1	no	—
1111	#121	D₁₂	1	1	yes	characteristic
1112	#121	D₁₂	1	1	yes	characteristic
1113	#120	—	6	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	D₁₂	1	1	yes	characteristic
1120	#120	D₁₂	1	1	yes	characteristic
1121	C₄×Q₈	—	3	1	no	—
1122	C₄×Q₈	—	3	1	no	—
1123	C₄×Q₈	—	3	1	no	—
1124	C₄×Q₈	—	6	1	no	—
1125	C₄×D₄	—	3	1	no	—
1126	C₄×D₄	—	3	1	no	—
1127	C₄×D₄	—	3	1	no	—
1128	C₄×D₄	—	3	1	no	—
1129	C₄×D₄	—	3	1	no	—
1130	C₄×D₄	—	6	1	no	—
1131	C₄×D₄	—	6	1	no	—
1132	C₄×D₄	—	6	1	no	—
1133	C₄×D₄	—	6	1	no	—
1134	C₄×D₄	—	6	1	no	—
1135	C₄×D₄	—	6	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	—	6	1	no	—
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	—	3	1	no	—
1146	#117	—	3	1	no	—
1147	#117	—	3	1	no	—
1148	#117	—	6	1	no	—
1149	#117	C₂²×D₃	1	1	yes	characteristic
1150	C₂×C₄⋊C₄	—	3	1	no	—
1151	C₂×C₄⋊C₄	—	3	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	—	6	1	no	—
1157	C₂×C₄⋊C₄	—	6	1	no	—
1158	C₂×C₂²⋊C₄	—	6	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	C₂²×D₃	1	1	yes	characteristic
1174	C₄⋊C₈	C₂²×D₃	1	1	yes	characteristic
1175	C₄⋊C₈	C₂²×D₃	1	1	yes	characteristic
1176	C₄⋊C₈	C₂²×D₃	1	1	yes	characteristic
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	C₂²×D₃	1	1	yes	characteristic
1210	C₂²⋊C₈	C₂²×D₃	1	1	yes	characteristic
1211	C₂²⋊C₈	C₂²×D₃	1	1	yes	characteristic
1212	C₂²⋊C₈	C₂²×D₃	1	1	yes	characteristic
1213	C₂²⋊C₈	C₂²×D₃	1	1	yes	characteristic
1214	C₂²⋊C₈	C₂²×D₃	1	1	yes	characteristic
1215	C₂²⋊C₈	C₂²×D₃	1	1	yes	characteristic
1216	C₂²⋊C₈	C₂²×D₃	1	1	yes	characteristic
1217	C₂²⋊C₈	C₂²×D₃	1	1	yes	characteristic
1218	C₂²⋊C₈	C₂²×D₃	1	1	yes	characteristic
1219	C₂²⋊C₈	C₂²×D₃	1	1	yes	characteristic
1220	C₂²⋊C₈	C₂²×D₃	1	1	yes	characteristic
1221	#97	C₂²×D₃	1	1	yes	characteristic
1222	#97	C₂²×D₃	1	1	yes	characteristic
1223	C₄×C₈	C₂²×D₃	1	1	yes	characteristic
1224	C₄×C₈	C₂²×D₃	1	1	yes	characteristic
1225	C₂³×C₃	—	4	1	no	—
1226	C₂³×C₃	—	4	1	no	—
1227	C₂³×C₃	—	4	1	no	—
1228	C₂³×C₃	C₂²×D₄	1	1	yes	characteristic
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	C₂²×D₃	—	2	1	no	—
1234	C₂²×D₃	—	2	1	no	—
1235	C₂²×D₃	—	2	4	no	—
1236	C₂²×D₃	—	2	1	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	—	4	1	no	—
1247	C₃×D₄	—	4	1	no	—
1248	C₃×D₄	—	4	1	no	—
1249	C₃×D₄	—	4	1	no	—
1250	C₃×D₄	—	4	1	no	—
1251	C₃×D₄	—	4	1	no	—
1252	C₃×D₄	—	4	1	no	—
1253	C₃×D₄	—	4	1	no	—
1254	C₂×C₃×C₄	—	2	1	no	—
1255	C₂×C₃×C₄	—	2	1	no	—
1256	C₂×C₃×C₄	—	2	1	no	—
1257	C₂×C₃×C₄	—	2	1	no	—
1258	C₂×C₃×C₄	—	2	1	no	—
1259	C₂×C₃×C₄	—	2	1	no	—
1260	C₂×C₃×C₄	—	2	1	no	—
1261	C₂×C₃×C₄	—	2	1	no	—
1262	C₂×C₃×C₄	—	2	1	no	—
1263	C₂×C₃×C₄	—	2	1	no	—
1264	C₂×C₃×C₄	—	4	1	no	—
1265	C₂×C₃×C₄	—	4	1	no	—
1266	C₂×C₃×C₄	—	4	1	no	—
1267	C₂×C₃×C₄	C₂²×D₄	1	1	yes	characteristic
1268	C₂×C₃×C₄	C₂²×D₄	1	1	yes	characteristic
1269	C₂×C₃×C₄	C₂²×D₄	1	1	yes	characteristic
1270	C₂×C₃×C₄	C₂²×D₄	1	1	yes	characteristic
1271	C₂×C₃×C₄	C₂²×D₄	1	1	yes	characteristic
1272	C₂×C₃×C₄	C₂²×D₄	1	1	yes	characteristic
1273	C₂×C₃×C₄	C₂²×D₄	1	1	yes	characteristic
1274	C₂×C₃×C₄	C₂²×D₄	1	1	yes	characteristic
1275	C₂×C₃×C₄	C₂²×D₄	1	1	yes	characteristic
1276	C₂×C₃×C₄	C₂⁵	1	1	yes	characteristic
1277	#67	—	4	2	no	—
1278	#67	—	4	2	no	—
1279	#67	—	4	2	no	—
1280	#67	—	4	2	no	—
1281	#67	—	4	2	no	—
1282	#67	—	4	2	no	—
1283	#67	—	4	2	no	—
1284	#67	—	4	2	no	—
1285	#67	—	8	1	no	—
1286	#67	—	8	1	no	—
1287	#67	—	8	1	no	—
1288	#67	—	8	1	no	—
1289	#67	—	8	1	no	—
1290	#67	—	8	1	no	—
1291	C₂×Dic₃	—	2	1	no	—
1292	C₂×Dic₃	—	2	1	no	—
1293	C₂×Dic₃	—	2	1	no	—
1294	C₂×Dic₃	—	2	1	no	—
1295	C₂×Dic₃	—	2	1	no	—
1296	C₂×Dic₃	—	2	1	no	—
1297	C₂×Dic₃	—	2	1	no	—
1298	C₂×Dic₃	—	2	1	no	—
1299	C₂×Dic₃	—	2	1	no	—
1300	C₂×Dic₃	—	2	1	no	—
1301	C₂×Dic₃	—	2	1	no	—
1302	C₂×Dic₃	—	2	1	no	—
1303	C₂×Dic₃	—	4	2	no	—
1304	C₂×Dic₃	—	8	1	no	—
1305	C₂×Dic₃	—	8	1	no	—
1306	C₂×Dic₃	—	8	1	no	—
1307	C₂×Dic₃	—	8	1	no	—
1308	D₁₂	—	2	4	no	—
1309	D₁₂	—	2	1	no	—
1310	D₁₂	—	2	1	no	—
1311	D₁₂	—	2	1	no	—
1312	D₁₂	—	2	1	no	—
1313	D₁₂	—	2	1	no	—
1314	D₁₂	—	2	1	no	—
1315	D₁₂	—	4	2	no	—
1316	D₁₂	—	4	2	no	—
1317	D₁₂	H(5,𝔽₂)	1	2	yes	—
1318	D₁₂	H(5,𝔽₂)	1	2	yes	—
1319	C₄×D₃	—	4	2	no	—
1320	C₄×D₃	—	4	2	no	—
1321	C₄×D₃	—	4	2	no	—
1322	C₄×D₃	—	4	2	no	—
1323	C₄×D₃	—	4	2	no	—
1324	C₄×D₃	—	4	2	no	—
1325	C₄×D₃	—	4	2	no	—
1326	C₄×D₃	—	8	1	no	—
1327	C₄×D₃	—	8	1	no	—
1328	C₄×D₃	—	8	1	no	—
1329	C₄×D₃	—	8	1	no	—
1330	C₄×D₃	—	8	1	no	—
1331	C₄×D₃	—	8	1	no	—
1332	C₄×D₃	—	8	1	no	—
1333	Dic₆	—	2	1	no	—
1334	Dic₆	—	2	1	no	—
1335	Dic₆	—	2	1	no	—
1336	Dic₆	—	2	1	no	—
1337	Dic₆	—	2	1	no	—
1338	Dic₆	—	2	1	no	—
1339	Dic₆	—	2	1	no	—
1340	Dic₆	—	2	1	no	—
1341	Dic₆	—	2	1	no	—
1342	Dic₆	—	2	1	no	—
1343	Dic₆	—	2	1	no	—
1344	Dic₆	—	2	1	no	—
1345	Dic₆	—	4	2	no	—
1346	Dic₆	—	8	1	no	—
1347	Dic₆	—	8	1	no	—
1348	Dic₆	—	8	1	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×D₁₂	1	1	yes	characteristic
1361	#41	—	4	1	no	—
1362	#41	—	4	1	no	—
1363	#41	—	6	2	no	—
1364	#41	—	6	2	no	—
1365	#41	—	6	2	no	—
1366	#41	—	6	2	no	—
1367	#41	—	6	2	no	—
1368	#41	—	6	2	no	—
1369	#41	—	12	1	no	—
1370	#41	—	12	1	no	—
1371	#41	—	12	1	no	—
1372	#41	—	12	1	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	—	3	1	no	—
1385	C₂×Q₈	—	3	1	no	—
1386	C₂×Q₈	—	3	1	no	—
1387	C₂×Q₈	—	3	1	no	—
1388	C₂×Q₈	—	3	1	no	—
1389	C₂×Q₈	—	3	1	no	—
1390	C₂×Q₈	—	6	1	no	—
1391	C₂×Q₈	—	6	1	no	—
1392	C₂×Q₈	—	6	1	no	—
1393	C₂×Q₈	—	6	1	no	—
1394	C₂×Q₈	—	12	1	no	—
1395	C₂×Q₈	—	12	1	no	—
1396	C₂×Q₈	—	12	1	no	—
1397	C₂×Q₈	—	12	1	no	—
1398	C₂×Q₈	—	12	1	no	—
1399	C₂×Q₈	—	12	1	no	—
1400	C₂×Q₈	C₂×D₁₂	1	1	yes	characteristic
1401	C₂×D₄	—	3	1	no	—
1402	C₂×D₄	—	3	1	no	—
1403	C₂×D₄	—	3	1	no	—
1404	C₂×D₄	—	3	1	no	—
1405	C₂×D₄	—	6	2	no	—
1406	C₂×D₄	—	6	2	no	—
1407	C₂×D₄	—	6	2	no	—
1408	C₂×D₄	—	6	2	no	—
1409	C₂×D₄	—	6	1	no	—
1410	C₂×D₄	—	6	1	no	—
1411	C₂×D₄	—	6	1	no	—
1412	C₂×D₄	—	6	1	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	—	6	1	no	—
1426	C₂×D₄	—	12	1	no	—
1427	C₂×D₄	—	12	1	no	—
1428	C₂×D₄	—	12	4	no	—
1429	C₂×D₄	—	12	4	no	—
1430	C₂×D₄	—	12	4	no	—
1431	C₂×D₄	—	12	4	no	—
1432	C₂×D₄	C₂×D₁₂	1	1	yes	characteristic
1433	C₂×D₄	C₂×D₁₂	1	1	yes	characteristic
1434	C₂×D₄	C₂×D₁₂	1	1	yes	characteristic
1435	C₂×D₄	C₂×D₁₂	1	1	yes	characteristic
1436	C₂×D₄	C₂×D₁₂	1	1	yes	characteristic
1437	C₂×D₄	C₂×D₁₂	1	1	yes	characteristic
1438	C₂×D₄	C₂×D₁₂	1	1	yes	characteristic
1439	C₂²×C₄	—	4	1	no	—
1440	C₂²×C₄	—	4	1	no	—
1441	C₂²×C₄	—	6	1	no	—
1442	C₂²×C₄	—	6	1	no	—
1443	C₂²×C₄	—	6	1	no	—
1444	C₂²×C₄	—	6	1	no	—
1445	C₂²×C₄	—	6	1	no	—
1446	C₂²×C₄	—	6	1	no	—
1447	C₂²×C₄	—	6	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×D₁₂	1	1	yes	characteristic
1462	C₂²×C₄	C₂×D₁₂	1	1	yes	characteristic
1463	C₂²×C₄	C₂×D₁₂	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	—	4	1	no	—
1494	M₁₆	—	4	1	no	—
1495	M₁₆	—	4	1	no	—
1496	M₁₆	—	4	1	no	—
1497	C₂×C₈	—	4	1	no	—
1498	C₂×C₈	—	4	1	no	—
1499	C₂×C₈	—	4	1	no	—
1500	C₂×C₈	—	4	1	no	—
1501	C₂×C₈	C₂³×D₃	1	1	yes	characteristic
1502	C₂×C₈	C₂³×D₃	1	1	yes	characteristic
1503	C₂×C₈	C₂³×D₃	1	1	yes	characteristic
1504	C₂×C₈	C₂³×D₃	1	1	yes	characteristic
1505	C₂×C₈	C₂³×D₃	1	1	yes	characteristic
1506	C₂×C₈	C₂³×D₃	1	1	yes	characteristic
1507	C₂×C₈	C₂³×D₃	1	1	yes	characteristic
1508	C₂×C₈	C₂³×D₃	1	1	yes	characteristic
1509	C₄⋊C₄	—	3	1	no	—
1510	C₄⋊C₄	—	3	1	no	—
1511	C₄⋊C₄	—	3	1	no	—
1512	C₄⋊C₄	—	3	1	no	—
1513	C₄⋊C₄	—	3	1	no	—
1514	C₄⋊C₄	—	3	1	no	—
1515	C₄⋊C₄	—	6	1	no	—
1516	C₄⋊C₄	—	6	1	no	—
1517	C₄⋊C₄	—	6	1	no	—
1518	C₄⋊C₄	—	6	1	no	—
1519	C₄⋊C₄	—	6	1	no	—
1520	C₄⋊C₄	—	6	1	no	—
1521	C₄⋊C₄	—	6	1	no	—
1522	C₄⋊C₄	—	6	1	no	—
1523	C₄⋊C₄	—	6	1	no	—
1524	C₄⋊C₄	—	6	1	no	—
1525	C₄⋊C₄	—	6	1	no	—
1526	C₄⋊C₄	—	6	1	no	—
1527	C₄⋊C₄	—	6	1	no	—
1528	C₄⋊C₄	—	6	1	no	—
1529	C₄⋊C₄	—	6	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	—	6	1	no	—
1541	C₄⋊C₄	—	6	1	no	—
1542	C₄⋊C₄	—	6	1	no	—
1543	C₄⋊C₄	—	6	1	no	—
1544	C₄⋊C₄	C₂×D₁₂	1	1	yes	characteristic
1545	C₄⋊C₄	C₂×D₁₂	1	1	yes	characteristic
1546	C₄⋊C₄	C₂×D₁₂	1	1	yes	characteristic
1547	C₄⋊C₄	C₂×D₁₂	1	1	yes	characteristic
1548	C₄⋊C₄	C₂×D₁₂	1	1	yes	characteristic
1549	C₄⋊C₄	C₂×D₁₂	1	1	yes	characteristic
1550	C₂²⋊C₄	—	6	1	no	—
1551	C₂²⋊C₄	—	6	1	no	—
1552	C₂²⋊C₄	—	6	1	no	—
1553	C₂²⋊C₄	—	6	1	no	—
1554	C₂²⋊C₄	—	6	1	no	—
1555	C₂²⋊C₄	—	6	1	no	—
1556	C₂²⋊C₄	—	6	1	no	—
1557	C₂²⋊C₄	—	6	1	no	—
1558	C₂²⋊C₄	—	6	1	no	—
1559	C₂²⋊C₄	—	6	1	no	—
1560	C₂²⋊C₄	—	6	1	no	—
1561	C₂²⋊C₄	—	6	1	no	—
1562	C₂²⋊C₄	—	6	1	no	—
1563	C₂²⋊C₄	—	6	1	no	—
1564	C₂²⋊C₄	—	6	1	no	—
1565	C₂²⋊C₄	—	6	1	no	—
1566	C₂²⋊C₄	—	6	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×D₁₂	1	1	yes	characteristic
1585	C₂²⋊C₄	C₂×D₁₂	1	1	yes	characteristic
1586	C₂²⋊C₄	C₂×D₁₂	1	1	yes	characteristic
1587	C₂²⋊C₄	C₂×D₁₂	1	1	yes	characteristic
1588	C₂²⋊C₄	C₂×D₁₂	1	1	yes	characteristic
1589	C₂²⋊C₄	C₂×D₁₂	1	1	yes	characteristic
1590	C₂²⋊C₄	C₂×D₁₂	1	1	yes	characteristic
1591	C₂²⋊C₄	C₂×D₁₂	1	1	yes	characteristic
1592	C₂²⋊C₄	C₂×D₁₂	1	1	yes	characteristic
1593	C₂²⋊C₄	C₂×D₁₂	1	1	yes	characteristic
1594	C₄²	—	6	1	no	—
1595	C₄²	—	6	1	no	—
1596	C₄²	—	6	1	no	—
1597	C₄²	—	6	1	no	—
1598	C₄²	—	6	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	—	8	2	no	—
1618	C₂²×C₃	C₂³×D₄	1	1	yes	characteristic
1619	C₂×D₃	—	2	2	no	—
1620	C₂×D₃	—	2	2	no	—
1621	C₂×D₃	—	4	1	no	—
1622	C₂×D₃	—	4	1	no	—
1623	C₂×D₃	—	4	1	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	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1644	C₃×C₄	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1645	Dic₃	—	4	1	no	—
1646	Dic₃	—	4	1	no	—
1647	Dic₃	—	4	1	no	—
1648	Dic₃	—	4	1	no	—
1649	Dic₃	—	4	1	no	—
1650	Dic₃	—	4	1	no	—
1651	Dic₃	—	4	1	no	—
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	—	4	1	no	—
1658	C₂³	—	4	1	no	—
1659	C₂³	—	4	1	no	—
1660	C₂³	—	6	4	no	—
1661	C₂³	—	6	1	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×D₁₂	1	1	yes	characteristic
1674	C₂³	C₂²×D₁₂	1	1	yes	characteristic
1675	C₂³	C₂²×D₁₂	1	1	yes	characteristic
1676	C₂³	C₂²×D₁₂	1	1	yes	characteristic
1677	C₂³	C₂²×D₁₂	1	1	yes	characteristic
1678	Q₈	—	4	1	no	—
1679	Q₈	—	6	1	no	—
1680	Q₈	—	6	1	no	—
1681	Q₈	—	6	1	no	—
1682	Q₈	—	6	1	no	—
1683	Q₈	—	6	1	no	—
1684	Q₈	—	6	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	—	12	2	no	—
1692	Q₈	—	24	1	no	—
1693	Q₈	—	24	1	no	—
1694	Q₈	—	24	1	no	—
1695	D₄	—	3	2	no	—
1696	D₄	—	3	2	no	—
1697	D₄	—	4	1	no	—
1698	D₄	—	4	1	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	—	6	4	no	—
1705	D₄	—	6	1	no	—
1706	D₄	—	6	1	no	—
1707	D₄	—	6	1	no	—
1708	D₄	—	6	1	no	—
1709	D₄	—	6	1	no	—
1710	D₄	—	6	1	no	—
1711	D₄	—	12	2	no	—
1712	D₄	—	12	2	no	—
1713	D₄	—	12	2	no	—
1714	D₄	—	12	2	no	—
1715	D₄	—	12	2	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	—	24	1	no	—
1722	D₄	—	24	1	no	—
1723	D₄	—	24	1	no	—
1724	D₄	—	24	1	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	—	4	1	no	—
1738	C₂×C₄	—	4	1	no	—
1739	C₂×C₄	—	4	1	no	—
1740	C₂×C₄	—	6	1	no	—
1741	C₂×C₄	—	6	1	no	—
1742	C₂×C₄	—	6	1	no	—
1743	C₂×C₄	—	6	1	no	—
1744	C₂×C₄	—	6	1	no	—
1745	C₂×C₄	—	6	1	no	—
1746	C₂×C₄	—	6	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	—	12	2	no	—
1753	C₂×C₄	—	12	2	no	—
1754	C₂×C₄	—	12	2	no	—
1755	C₂×C₄	—	12	2	no	—
1756	C₂×C₄	—	12	2	no	—
1757	C₂×C₄	—	12	2	no	—
1758	C₂×C₄	—	12	2	no	—
1759	C₂×C₄	—	12	2	no	—
1760	C₂×C₄	—	24	1	no	—
1761	C₂×C₄	—	24	1	no	—
1762	C₂×C₄	—	24	1	no	—
1763	C₂×C₄	—	24	1	no	—
1764	C₂×C₄	—	24	1	no	—
1765	C₂×C₄	—	24	1	no	—
1766	C₂×C₄	—	24	1	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×D₁₂	1	1	yes	characteristic
1772	C₂×C₄	C₂²×D₁₂	1	1	yes	characteristic
1773	C₂×C₄	C₂²×D₁₂	1	1	yes	characteristic
1774	C₂×C₄	C₂²×D₁₂	1	1	yes	characteristic
1775	C₂×C₄	C₂²×D₁₂	1	1	yes	characteristic
1776	C₂×C₄	C₂²×D₁₂	1	1	yes	characteristic
1777	C₂×C₄	C₂²×D₁₂	1	1	yes	characteristic
1778	C₂×C₄	C₂²×D₁₂	1	1	yes	characteristic
1779	C₂×C₄	C₂²×D₁₂	1	1	yes	characteristic
1780	C₂×C₄	C₂⁴×D₃	1	1	yes	characteristic
1781	C₈	—	2	1	no	—
1782	C₈	—	2	1	no	—
1783	C₈	—	2	1	no	—
1784	C₈	—	2	1	no	—
1785	C₈	—	2	1	no	—
1786	C₈	—	2	1	no	—
1787	C₈	—	2	1	no	—
1788	C₈	—	2	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	#3484	1	1	yes	characteristic
1795	C₂×C₃	#3584	1	1	yes	characteristic
1796	C₂×C₃	#3586	1	1	yes	characteristic
1797	D₃	—	4	2	no	—
1798	D₃	—	4	2	no	—
1799	D₃	—	8	1	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	—	6	2	no	—
1817	C₂²	—	6	2	no	—
1818	C₂²	—	8	2	no	—
1819	C₂²	—	12	1	no	—
1820	C₂²	—	12	1	no	—
1821	C₂²	—	12	1	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×D₁₂	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	—	12	1	no	—
1843	C₄	—	12	1	no	—
1844	C₄	—	12	1	no	—
1845	C₄	—	12	1	no	—
1846	C₄	—	12	1	no	—
1847	C₄	—	12	1	no	—
1848	C₄	—	12	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	—	12	2	no	—
1863	C₂	—	12	2	no	—
1864	C₂	—	24	1	no	—
1865	C₂	—	24	1	no	—
1866	C₂	#85867	1	1	yes	characteristic
1867	C₂	#87163	1	1	yes	characteristic
1868	C₂	#87168	1	1	yes	characteristic

	subgroup	G/H
center	C₂²	C₂³×D₁₂
commutator, cosocle	C₂×C₃×C₄	C₂⁵
Frattini	C₂×C₄	C₂⁴×D₃
Fitting	C₃×#2976	C₂
socle	C₂²×C₃	C₂³×D₄
hypercenter	#2976	D₃
hypocenter	C₃	#61613
LCS	G ▷ C₂×C₃×C₄ ▷ C₂×C₃ ▷ C₃
UCS	C₁ ◁ C₂² ◁ #525 ◁ #2976

Complements

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

N	H ≅ G/N	type
1. #86056	C₂	semidirect
2. #86040	C₂	semidirect
3. C₃×#2976	C₂	semidirect
4. #79558	C₂	semidirect
5. #79553	C₂	semidirect
6. #79552	C₂	semidirect
7. #79551	C₂	semidirect
8. #79504	C₂	semidirect
9. #79503	C₂	semidirect
10. #79502	C₂	semidirect
11. #79500	C₂	semidirect
12. #79498	C₂	semidirect
13. #79498	C₂	semidirect
14. #79496	C₂	semidirect
15. #79495	C₂	semidirect
16. #79442	C₂	semidirect
17. #79440	C₂	semidirect
18. #79436	C₂	semidirect
19. #79435	C₂	semidirect
20. #79398	C₂	semidirect
21. #79393	C₂	semidirect
22. #79387	C₂	semidirect
23. #79383	C₂	semidirect
24. #78682	C₂	semidirect
25. #78681	C₂	semidirect
26. #78672	C₂	semidirect
27. #78671	C₂	semidirect
28. #78644	C₂	semidirect
29. #78640	C₂	semidirect
30. #78618	C₂	semidirect
31. #78610	C₂	semidirect
40. #5791	C₂²	semidirect
41. C₂×#924	C₂²	semidirect
42. C₂×#909	C₂²	semidirect
43. C₂×#909	C₂²	semidirect
44. C₂×#909	C₂²	semidirect
45. C₂×#908	C₂²	semidirect
46. C₂×#904	C₂²	semidirect
47. C₂×#904	C₂²	semidirect
48. C₂×#904	C₂²	semidirect
49. C₂²×#204	C₂²	semidirect
66. #5565	C₂²	semidirect
67. #5552	C₂²	semidirect
68. #5552	C₂²	semidirect
73. #5551	C₂²	semidirect
78. #5543	C₂²	semidirect
79. #5542	C₂²	semidirect
80. #5541	C₂²	semidirect
81. D₄×Dic₆	C₂²	semidirect
82. #5534	C₂²	semidirect
85. #5518	C₂²	semidirect
86. C₃×#436	C₂²	semidirect
87. C₃×#436	C₂²	semidirect
88. C₃×#435	C₂²	semidirect
89. C₃×#435	C₂²	semidirect
90. C₃×#435	C₂²	semidirect
91. C₃×#435	C₂²	semidirect
92. C₃×C₈×D₄	C₂²	semidirect
93. C₃×C₈×D₄	C₂²	semidirect
94. C₃×#433	C₂²	semidirect
95. C₃×#433	C₂²	semidirect
98. C₃×#407	C₂²	semidirect
99. C₂×C₃×C₂²⋊C₈	C₂²	semidirect
100. #5137	C₂²	semidirect
101. #5137	C₂²	semidirect
102. #5137	C₂²	semidirect
103. #5137	C₂²	semidirect
104. #5135	C₂²	semidirect
105. #5134	C₂²	semidirect
106. #5134	C₂²	semidirect
107. #5134	C₂²	semidirect
108. #5133	C₂²	semidirect
109. #5133	C₂²	semidirect
110. #5133	C₂²	semidirect
111. #5131	C₂²	semidirect
112. #5116	C₂²	semidirect
113. #5116	C₂²	semidirect
114. #5116	C₂²	semidirect
115. #5116	C₂²	semidirect
116. #5116	C₂²	semidirect
117. #5114	C₂²	semidirect
118. #5114	C₂²	semidirect
119. #5114	C₂²	semidirect
120. #5113	C₂²	semidirect
121. #5113	C₂²	semidirect
122. #5113	C₂²	semidirect
123. C₂×#821	C₂²	semidirect
124. #4849	C₂²	semidirect
125. #4849	C₂²	semidirect
126. #4849	C₂²	semidirect
127. #4847	C₂²	semidirect
128. #4847	C₂²	semidirect
129. #4846	C₂²	semidirect
130. #4845	C₂²	semidirect
131. #4845	C₂²	semidirect
132. #4845	C₂²	semidirect
133. #4844	C₂²	semidirect
134. #4844	C₂²	semidirect
135. #4844	C₂²	semidirect
136. #4842	C₂²	semidirect
137. #4841	C₂²	semidirect
138. #4841	C₂²	semidirect
139. #4841	C₂²	semidirect
140. #4739	C₂²	semidirect
141. #4739	C₂²	semidirect
142. #4739	C₂²	semidirect
143. #4739	C₂²	semidirect
144. #4739	C₂²	semidirect
145. #4739	C₂²	semidirect
146. #4738	C₂²	semidirect
147. #4738	C₂²	semidirect
148. #4737	C₂²	semidirect
149. #4737	C₂²	semidirect
150. #4736	C₂²	semidirect
152. #4734	C₂²	semidirect
153. #4734	C₂²	semidirect
154. #4734	C₂²	semidirect
155. #4734	C₂²	semidirect
159. #4733	C₂²	semidirect
160. #4733	C₂²	semidirect
161. #4733	C₂²	semidirect
162. #4733	C₂²	semidirect
163. #4733	C₂²	semidirect
164. #4733	C₂²	semidirect
165. #4733	C₂²	semidirect
166. #4733	C₂²	semidirect
167. #4733	C₂²	semidirect
168. #4733	C₂²	semidirect
169. #4733	C₂²	semidirect
170. #4733	C₂²	semidirect
172. #4732	C₂²	semidirect
176. #4731	C₂²	semidirect
177. #4731	C₂²	semidirect
178. #4731	C₂²	semidirect
179. #4723	C₂²	semidirect
180. #4723	C₂²	semidirect
181. #4723	C₂²	semidirect
182. #4723	C₂²	semidirect
183. #4723	C₂²	semidirect
184. #4723	C₂²	semidirect
185. #4722	C₂²	semidirect
186. #4721	C₂²	semidirect
187. #4721	C₂²	semidirect
188. #4715	C₂²	semidirect
189. #4715	C₂²	semidirect
190. #4714	C₂²	semidirect
191. #4711	C₂²	semidirect
192. #4710	C₂²	semidirect
193. #4710	C₂²	semidirect
194. #4710	C₂²	semidirect
195. #4703	C₂²	semidirect
196. #4699	C₂²	semidirect
197. #4697	C₂²	semidirect
198. #4696	C₂²	semidirect
199. C₄×D₂₄	C₂²	semidirect
200. C₄×#204	C₂²	semidirect
201. C₄×#204	C₂²	semidirect
202. C₄×#204	C₂²	semidirect
203. #4681	C₂²	semidirect
234. #2976	D₃	semidirect
671. #436	C₂×D₃	semidirect
672. #436	C₂×D₃	semidirect
673. #435	C₂×D₃	semidirect
674. #435	C₂×D₃	semidirect
675. #435	C₂×D₃	semidirect
676. #435	C₂×D₃	semidirect
677. C₈×D₄	C₂×D₃	semidirect
678. C₈×D₄	C₂×D₃	semidirect
679. #433	C₂×D₃	semidirect
680. #433	C₂×D₃	semidirect
691. #407	C₂×D₃	semidirect
692. C₂×C₂²⋊C₈	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
#86056	2
#86040	2
C₃×#2976	2
#79558	2
#79553	2
#79552	2
#79551	2
#79504	2
#79503	2
#79502	2
#79500	2
#79498	2
#79496	2
#79495	2
#79442	2
#79440	2
#79436	2
#79435	2
#79398	2
#79393	2
#79387	2
#79383	2
#78682	2
#78681	2
#78672	2
#78671	2
#78644	2
#78640	2
#78618	2
#78610	2
#61613	3