Subgroups — #14495654

Order 1920.

1860 conjugacy classes of subgroups.

The subgroup lattice has 1836 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#11756337	C₂	1	1	yes	maximal, characteristic, complemented
2	C₅×#5578	C₂	1	1	yes	maximal, characteristic, complemented
3	C₃×#65914	C₂	1	1	yes	maximal, characteristic, complemented
4	#11755261	C₂	1	1	yes	maximal, characteristic, complemented
5	#11755259	C₂	1	1	yes	maximal, characteristic, complemented
6	#11755215	C₂	1	1	yes	maximal, characteristic, complemented
7	#11755135	C₂	1	1	yes	maximal, characteristic, complemented
8	#11753824	C₂	1	1	yes	maximal, characteristic, complemented
9	#11753817	C₂	1	1	yes	maximal, characteristic, complemented
10	#11753657	C₂	1	1	yes	maximal, characteristic, complemented
11	#11753656	C₂	1	1	yes	maximal, characteristic, complemented
12	#11753653	C₂	1	1	yes	maximal, characteristic, complemented
13	#11753652	C₂	1	1	yes	maximal, characteristic, complemented
14	#11753645	C₂	1	1	yes	maximal, characteristic, complemented
15	#11753642	C₂	1	1	yes	maximal, characteristic, complemented
16	#11753641	C₂	1	1	yes	maximal, characteristic, complemented
17	#11753639	C₂	1	1	yes	maximal, characteristic, complemented
18	#11753638	C₂	1	1	yes	maximal, characteristic, complemented
19	#11753395	C₂	1	1	yes	maximal, characteristic, complemented
20	#11752703	C₂	1	1	yes	maximal, characteristic, complemented
21	#11752695	C₂	1	1	yes	maximal, characteristic, complemented
22	#11752693	C₂	1	1	yes	maximal, characteristic, complemented
23	#11752681	C₂	1	1	yes	maximal, characteristic, complemented
24	#11752596	C₂	1	1	yes	maximal, characteristic, complemented
25	#11752596	C₂	1	1	yes	maximal, characteristic, complemented
26	#11752564	C₂	1	1	yes	maximal, characteristic, complemented
27	#11752564	C₂	1	1	yes	maximal, characteristic, complemented
28	#11752563	C₂	1	1	yes	maximal, characteristic, complemented
29	#11752563	C₂	1	1	yes	maximal, characteristic, complemented
30	#11752501	C₂	1	1	yes	maximal, characteristic, complemented
31	#11752497	C₂	1	1	yes	maximal, characteristic, complemented
32	#10618187	—	3	1	no	maximal, Hall
33	C₃×C₄×C₅×Q₈	C₂²	1	1	yes	characteristic
34	#91835	C₂²	1	1	yes	characteristic
35	#91833	C₂²	1	1	yes	characteristic
36	#91786	C₂²	1	1	yes	characteristic
37	#91785	C₂²	1	1	yes	characteristic
38	#91785	C₂²	1	1	yes	characteristic
39	#91778	C₂²	1	1	yes	characteristic
40	#91778	C₂²	1	1	yes	characteristic
41	#91777	C₂²	1	1	yes	characteristic
42	#91761	C₂²	1	1	yes	characteristic
43	#91761	C₂²	1	1	yes	characteristic
44	C₄²×D₁₅	C₂²	1	1	yes	characteristic
45	C₄×Dic₃₀	C₂²	1	1	yes	characteristic
46	C₄×Dic₃₀	C₂²	1	1	yes	characteristic
47	C₄×Dic₃₀	C₂²	1	1	yes	characteristic
48	C₅×#946	C₂²	1	1	yes	characteristic
49	C₅×#944	C₂²	1	1	yes	characteristic
50	C₅×#897	C₂²	1	1	yes	characteristic
51	C₅×#896	C₂²	1	1	yes	characteristic
52	C₅×#896	C₂²	1	1	yes	characteristic
53	C₅×#889	C₂²	1	1	yes	characteristic
54	C₅×#889	C₂²	1	1	yes	characteristic
55	C₅×#888	C₂²	1	1	yes	characteristic
56	C₅×#872	C₂²	1	1	yes	characteristic
57	C₅×#872	C₂²	1	1	yes	characteristic
58	C₄²×C₅×D₃	C₂²	1	1	yes	characteristic
59	C₄×C₅×Dic₆	C₂²	1	1	yes	characteristic
60	C₄×C₅×Dic₆	C₂²	1	1	yes	characteristic
61	C₄×C₅×Dic₆	C₂²	1	1	yes	characteristic
62	C₃×#4093	C₂²	1	1	yes	characteristic
63	C₃×#4092	C₂²	1	1	yes	characteristic
64	C₃×#4044	C₂²	1	1	yes	characteristic
65	C₃×#4044	C₂²	1	1	yes	characteristic
66	C₃×#4041	C₂²	1	1	yes	characteristic
67	C₃×#4040	C₂²	1	1	yes	characteristic
68	C₃×#4040	C₂²	1	1	yes	characteristic
69	C₃×#4036	C₂²	1	1	yes	characteristic
70	C₃×C₄×D₂₀	C₂²	1	1	yes	characteristic
71	C₃×C₄×D₂₀	C₂²	1	1	yes	characteristic
72	C₃×C₄×D₂₀	C₂²	1	1	yes	characteristic
73	C₃×#4018	C₂²	1	1	yes	characteristic
74	C₃×#4018	C₂²	1	1	yes	characteristic
75	C₃×C₄²×D₅	C₂²	1	1	yes	characteristic
76	#91468	C₂²	1	1	yes	characteristic
77	C₄×#1204	C₂²	1	1	yes	characteristic
78	C₄×#1204	C₂²	1	1	yes	characteristic
79	C₄×#1204	C₂²	1	1	yes	characteristic
80	#91465	C₂²	1	1	yes	characteristic
81	#91464	C₂²	1	1	yes	characteristic
82	#91462	C₂²	1	1	yes	characteristic
83	#91462	C₂²	1	1	yes	characteristic
84	#91461	C₂²	1	1	yes	characteristic
85	#91456	C₂²	1	1	yes	characteristic
86	#91455	C₂²	1	1	yes	characteristic
87	#91455	C₂²	1	1	yes	characteristic
88	#91454	C₂²	1	1	yes	characteristic
89	#91452	C₂²	1	1	yes	characteristic
90	#91452	C₂²	1	1	yes	characteristic
91	#91452	C₂²	1	1	yes	characteristic
92	#91448	C₂²	1	1	yes	characteristic
93	#91447	C₂²	1	1	yes	characteristic
94	C₄×#1203	C₂²	1	1	yes	characteristic
95	C₄×#1202	C₂²	1	1	yes	characteristic
96	C₄×#1202	C₂²	1	1	yes	characteristic
97	C₄×#1202	C₂²	1	1	yes	characteristic
98	C₄×#1201	C₂²	1	1	yes	characteristic
99	C₄×#1201	C₂²	1	1	yes	characteristic
100	C₄×#1201	C₂²	1	1	yes	characteristic
101	#91431	C₂²	1	1	yes	characteristic
102	#91431	C₂²	1	1	yes	characteristic
103	#91431	C₂²	1	1	yes	characteristic
104	#91431	C₂²	1	1	yes	characteristic
105	#91430	C₂²	1	1	yes	characteristic
106	#91430	C₂²	1	1	yes	characteristic
107	#91422	C₂²	1	1	yes	characteristic
108	#91422	C₂²	1	1	yes	characteristic
109	#91421	C₂²	1	1	yes	characteristic
110	#91421	C₂²	1	1	yes	characteristic
111	#91421	C₂²	1	1	yes	characteristic
112	#91421	C₂²	1	1	yes	characteristic
113	#91414	C₂²	1	1	yes	characteristic
114	#91414	C₂²	1	1	yes	characteristic
115	#91413	C₂²	1	1	yes	characteristic
116	#91413	C₂²	1	1	yes	characteristic
117	#91409	C₂²	1	1	yes	characteristic
118	#91409	C₂²	1	1	yes	characteristic
119	#91408	C₂²	1	1	yes	characteristic
120	#91408	C₂²	1	1	yes	characteristic
121	#91407	C₂²	1	1	yes	characteristic
122	#91407	C₂²	1	1	yes	characteristic
123	#91407	C₂²	1	1	yes	characteristic
124	#91407	C₂²	1	1	yes	characteristic
125	C₄×D₅×Dic₃	C₂²	1	1	yes	characteristic
126	C₄×D₅×Dic₃	C₂²	1	1	yes	characteristic
127	#91387	C₂²	1	1	yes	characteristic
128	#91384	C₂²	1	1	yes	characteristic
129	#91383	C₂²	1	1	yes	characteristic
130	#91382	C₂²	1	1	yes	characteristic
131	#91381	C₂²	1	1	yes	characteristic
132	#91380	C₂²	1	1	yes	characteristic
133	#91379	C₂²	1	1	yes	characteristic
134	#91378	C₂²	1	1	yes	characteristic
135	#91378	C₂²	1	1	yes	characteristic
136	#91378	C₂²	1	1	yes	characteristic
137	#91377	C₂²	1	1	yes	characteristic
138	#91376	C₂²	1	1	yes	characteristic
139	#91372	C₂²	1	1	yes	characteristic
140	#91368	C₂²	1	1	yes	characteristic
141	#91367	C₂²	1	1	yes	characteristic
142	#91366	C₂²	1	1	yes	characteristic
143	#91366	C₂²	1	1	yes	characteristic
144	#91366	C₂²	1	1	yes	characteristic
145	#91365	C₂²	1	1	yes	characteristic
146	#91364	C₂²	1	1	yes	characteristic
147	#91363	C₂²	1	1	yes	characteristic
148	#91363	C₂²	1	1	yes	characteristic
149	#91363	C₂²	1	1	yes	characteristic
150	#91362	C₂²	1	1	yes	characteristic
151	#91362	C₂²	1	1	yes	characteristic
152	#91361	C₂²	1	1	yes	characteristic
153	#91361	C₂²	1	1	yes	characteristic
154	#91360	C₂²	1	1	yes	characteristic
155	#91359	C₂²	1	1	yes	characteristic
156	#91357	C₂²	1	1	yes	characteristic
157	#91357	C₂²	1	1	yes	characteristic
158	#91357	C₂²	1	1	yes	characteristic
159	#91357	C₂²	1	1	yes	characteristic
160	#91355	C₂²	1	1	yes	characteristic
161	#91354	C₂²	1	1	yes	characteristic
162	#91354	C₂²	1	1	yes	characteristic
163	#91354	C₂²	1	1	yes	characteristic
164	#91353	C₂²	1	1	yes	characteristic
165	#91352	C₂²	1	1	yes	characteristic
166	#91351	C₂²	1	1	yes	characteristic
167	#91350	C₂²	1	1	yes	characteristic
168	#91349	C₂²	1	1	yes	characteristic
169	#91349	C₂²	1	1	yes	characteristic
170	#91349	C₂²	1	1	yes	characteristic
171	#91348	C₂²	1	1	yes	characteristic
172	#91346	C₂²	1	1	yes	characteristic
173	#91346	C₂²	1	1	yes	characteristic
174	#91345	C₂²	1	1	yes	characteristic
175	#91345	C₂²	1	1	yes	characteristic
176	#91341	C₂²	1	1	yes	characteristic
177	#91341	C₂²	1	1	yes	characteristic
178	#91339	C₂²	1	1	yes	characteristic
179	#91339	C₂²	1	1	yes	characteristic
180	#91335	C₂²	1	1	yes	characteristic
181	#91335	C₂²	1	1	yes	characteristic
182	#91334	C₂²	1	1	yes	characteristic
183	#91334	C₂²	1	1	yes	characteristic
184	#91329	C₂²	1	1	yes	characteristic
185	#91329	C₂²	1	1	yes	characteristic
186	#91328	C₂²	1	1	yes	characteristic
187	#91328	C₂²	1	1	yes	characteristic
188	#86132	—	5	1	no	maximal, Hall
189	C₅×#533	—	3	1	no	—
190	#66069	—	3	1	no	—
191	#66069	—	3	1	no	—
192	#66069	—	3	1	no	—
193	#66069	—	3	1	no	—
194	#66034	—	3	1	no	—
195	#66033	—	3	1	no	—
196	#66033	—	3	1	no	—
197	C₅⋊#564	—	3	1	no	—
198	#65981	—	3	1	no	—
199	#65981	—	3	1	no	—
200	#65981	—	3	1	no	—
201	#65981	—	3	1	no	—
202	#65980	—	3	1	no	—
203	#65980	—	3	1	no	—
204	#65980	—	3	1	no	—
205	#65980	—	3	1	no	—
206	#65914	—	3	1	no	—
207	#65914	—	3	1	no	—
208	#65914	—	3	1	no	—
209	#65914	D₃	1	1	yes	characteristic, complemented
210	#65912	—	3	1	no	—
211	#65912	—	3	1	no	—
212	#65912	—	3	1	no	—
213	#65912	—	3	1	no	—
214	#65862	—	3	1	no	—
215	#65862	—	3	1	no	—
216	#65862	—	3	1	no	—
217	#65862	—	3	1	no	—
218	#65813	—	3	1	no	—
219	#65813	—	3	1	no	—
220	C₂×C₃×C₅×Q₈	C₂³	1	1	yes	characteristic
221	C₂×C₄×D₁₅	C₂³	1	1	yes	characteristic
222	C₂×C₄×D₁₅	C₂³	1	1	yes	characteristic
223	C₂×C₄×D₁₅	C₂³	1	1	yes	characteristic
224	C₂×Dic₃₀	C₂³	1	1	yes	characteristic
225	C₂×Dic₃₀	C₂³	1	1	yes	characteristic
226	C₂×Dic₃₀	C₂³	1	1	yes	characteristic
227	C₂×C₄×C₅×D₃	C₂³	1	1	yes	characteristic
228	C₂×C₄×C₅×D₃	C₂³	1	1	yes	characteristic
229	C₂×C₄×C₅×D₃	C₂³	1	1	yes	characteristic
230	C₂×C₅×Dic₆	C₂³	1	1	yes	characteristic
231	C₂×C₅×Dic₆	C₂³	1	1	yes	characteristic
232	C₂×C₅×Dic₆	C₂³	1	1	yes	characteristic
233	C₂×C₃×D₂₀	C₂³	1	1	yes	characteristic
234	C₂×C₃×D₂₀	C₂³	1	1	yes	characteristic
235	C₂×C₃×D₂₀	C₂³	1	1	yes	characteristic
236	C₂×C₃×C₄×D₅	C₂³	1	1	yes	characteristic
237	C₂×C₃×C₄×D₅	C₂³	1	1	yes	characteristic
238	C₂×C₃×C₄×D₅	C₂³	1	1	yes	characteristic
239	C₂×C₃×C₄×D₅	C₂³	1	1	yes	characteristic
240	C₂×C₃×C₄×D₅	C₂³	1	1	yes	characteristic
241	C₂×#1204	C₂³	1	1	yes	characteristic
242	C₂×#1204	C₂³	1	1	yes	characteristic
243	C₂×#1204	C₂³	1	1	yes	characteristic
244	C₂×#1203	C₂³	1	1	yes	characteristic
245	C₂×#1202	C₂³	1	1	yes	characteristic
246	C₂×#1202	C₂³	1	1	yes	characteristic
247	C₂×#1202	C₂³	1	1	yes	characteristic
248	C₂×#1201	C₂³	1	1	yes	characteristic
249	C₂×#1201	C₂³	1	1	yes	characteristic
250	C₂×#1201	C₂³	1	1	yes	characteristic
251	C₂×D₅×Dic₃	C₂³	1	1	yes	characteristic
252	C₂×D₅×Dic₃	C₂³	1	1	yes	characteristic
253	C₂×D₅×Dic₃	C₂³	1	1	yes	characteristic
254	C₂×D₅×Dic₃	C₂³	1	1	yes	characteristic
255	C₃×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
256	C₃×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
257	C₃×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
258	C₃×C₄²×C₅	C₂³	1	1	yes	characteristic
259	C₃×C₄²×C₅	C₂³	1	1	yes	characteristic
260	C₃×C₄²×C₅	C₂³	1	1	yes	characteristic
261	#6714	C₂³	1	1	yes	characteristic
262	#6714	C₂³	1	1	yes	characteristic
263	#6714	C₂³	1	1	yes	characteristic
264	#6714	C₂³	1	1	yes	characteristic
265	C₄⋊Dic₁₅	C₂³	1	1	yes	characteristic
266	C₄⋊Dic₁₅	C₂³	1	1	yes	characteristic
267	C₄⋊Dic₁₅	C₂³	1	1	yes	characteristic
268	#6712	C₂³	1	1	yes	characteristic
269	#6712	C₂³	1	1	yes	characteristic
270	#6712	C₂³	1	1	yes	characteristic
271	#6712	C₂³	1	1	yes	characteristic
272	#6712	C₂³	1	1	yes	characteristic
273	#6712	C₂³	1	1	yes	characteristic
274	#6712	C₂³	1	1	yes	characteristic
275	#6712	C₂³	1	1	yes	characteristic
276	#6712	C₂³	1	1	yes	characteristic
277	#6712	C₂³	1	1	yes	characteristic
278	C₄×Dic₁₅	C₂³	1	1	yes	characteristic
279	C₄×Dic₁₅	C₂³	1	1	yes	characteristic
280	C₄×Dic₁₅	C₂³	1	1	yes	characteristic
281	C₄×Dic₁₅	C₂³	1	1	yes	characteristic
282	C₄×Dic₁₅	C₂³	1	1	yes	characteristic
283	C₅×(C₂×D₃)⋊C₄	C₂³	1	1	yes	characteristic
284	C₅×(C₂×D₃)⋊C₄	C₂³	1	1	yes	characteristic
285	C₅×(C₂×D₃)⋊C₄	C₂³	1	1	yes	characteristic
286	C₅×(C₂×D₃)⋊C₄	C₂³	1	1	yes	characteristic
287	C₅×C₄⋊Dic₃	C₂³	1	1	yes	characteristic
288	C₅×C₄⋊Dic₃	C₂³	1	1	yes	characteristic
289	C₅×C₄⋊Dic₃	C₂³	1	1	yes	characteristic
290	C₅×Dic₃⋊C₄	C₂³	1	1	yes	characteristic
291	C₅×Dic₃⋊C₄	C₂³	1	1	yes	characteristic
292	C₅×Dic₃⋊C₄	C₂³	1	1	yes	characteristic
293	C₅×Dic₃⋊C₄	C₂³	1	1	yes	characteristic
294	C₅×Dic₃⋊C₄	C₂³	1	1	yes	characteristic
295	C₅×Dic₃⋊C₄	C₂³	1	1	yes	characteristic
296	C₅×Dic₃⋊C₄	C₂³	1	1	yes	characteristic
297	C₅×Dic₃⋊C₄	C₂³	1	1	yes	characteristic
298	C₅×Dic₃⋊C₄	C₂³	1	1	yes	characteristic
299	C₅×Dic₃⋊C₄	C₂³	1	1	yes	characteristic
300	C₄×C₅×Dic₃	C₂³	1	1	yes	characteristic
301	C₄×C₅×Dic₃	C₂³	1	1	yes	characteristic
302	C₄×C₅×Dic₃	C₂³	1	1	yes	characteristic
303	C₄×C₅×Dic₃	C₂³	1	1	yes	characteristic
304	C₄×C₅×Dic₃	C₂³	1	1	yes	characteristic
305	C₃×#685	C₂³	1	1	yes	characteristic
306	C₃×#685	C₂³	1	1	yes	characteristic
307	C₃×#685	C₂³	1	1	yes	characteristic
308	C₃×#685	C₂³	1	1	yes	characteristic
309	C₃×#685	C₂³	1	1	yes	characteristic
310	C₃×#685	C₂³	1	1	yes	characteristic
311	C₃×#685	C₂³	1	1	yes	characteristic
312	C₃×#685	C₂³	1	1	yes	characteristic
313	C₃×#685	C₂³	1	1	yes	characteristic
314	C₃×#685	C₂³	1	1	yes	characteristic
315	C₃×C₄⋊Dic₅	C₂³	1	1	yes	characteristic
316	C₃×C₄⋊Dic₅	C₂³	1	1	yes	characteristic
317	C₃×C₄⋊Dic₅	C₂³	1	1	yes	characteristic
318	C₃×#683	C₂³	1	1	yes	characteristic
319	C₃×#683	C₂³	1	1	yes	characteristic
320	C₃×#683	C₂³	1	1	yes	characteristic
321	C₃×#683	C₂³	1	1	yes	characteristic
322	C₃×C₄×Dic₅	C₂³	1	1	yes	characteristic
323	C₃×C₄×Dic₅	C₂³	1	1	yes	characteristic
324	C₃×C₄×Dic₅	C₂³	1	1	yes	characteristic
325	Dic₃⋊Dic₅	C₂³	1	1	yes	characteristic
326	Dic₃⋊Dic₅	C₂³	1	1	yes	characteristic
327	Dic₃⋊Dic₅	C₂³	1	1	yes	characteristic
328	Dic₃⋊Dic₅	C₂³	1	1	yes	characteristic
329	Dic₃⋊Dic₅	C₂³	1	1	yes	characteristic
330	Dic₃⋊Dic₅	C₂³	1	1	yes	characteristic
331	#6669	C₂³	1	1	yes	characteristic
332	#6669	C₂³	1	1	yes	characteristic
333	#6669	C₂³	1	1	yes	characteristic
334	#6669	C₂³	1	1	yes	characteristic
335	#6669	C₂³	1	1	yes	characteristic
336	#6669	C₂³	1	1	yes	characteristic
337	#6668	C₂³	1	1	yes	characteristic
338	#6668	C₂³	1	1	yes	characteristic
339	#6668	C₂³	1	1	yes	characteristic
340	#6668	C₂³	1	1	yes	characteristic
341	#6668	C₂³	1	1	yes	characteristic
342	#6668	C₂³	1	1	yes	characteristic
343	#6668	C₂³	1	1	yes	characteristic
344	#6668	C₂³	1	1	yes	characteristic
345	#6668	C₂³	1	1	yes	characteristic
346	#6668	C₂³	1	1	yes	characteristic
347	#6668	C₂³	1	1	yes	characteristic
348	#6668	C₂³	1	1	yes	characteristic
349	#6667	C₂³	1	1	yes	characteristic
350	#6667	C₂³	1	1	yes	characteristic
351	#6667	C₂³	1	1	yes	characteristic
352	#6667	C₂³	1	1	yes	characteristic
353	(C₂×D₃)⋊Dic₅	C₂³	1	1	yes	characteristic
354	(C₂×D₃)⋊Dic₅	C₂³	1	1	yes	characteristic
355	(C₂×D₃)⋊Dic₅	C₂³	1	1	yes	characteristic
356	(C₂×D₃)⋊Dic₅	C₂³	1	1	yes	characteristic
357	#6665	C₂³	1	1	yes	characteristic
358	#6665	C₂³	1	1	yes	characteristic
359	#6665	C₂³	1	1	yes	characteristic
360	#6665	C₂³	1	1	yes	characteristic
361	#6665	C₂³	1	1	yes	characteristic
362	#6665	C₂³	1	1	yes	characteristic
363	#6665	C₂³	1	1	yes	characteristic
364	#6665	C₂³	1	1	yes	characteristic
365	#6665	C₂³	1	1	yes	characteristic
366	#6665	C₂³	1	1	yes	characteristic
367	#6665	C₂³	1	1	yes	characteristic
368	#6665	C₂³	1	1	yes	characteristic
369	#6665	C₂³	1	1	yes	characteristic
370	#6665	C₂³	1	1	yes	characteristic
371	Dic₃×Dic₅	C₂³	1	1	yes	characteristic
372	Dic₃×Dic₅	C₂³	1	1	yes	characteristic
373	Dic₃×Dic₅	C₂³	1	1	yes	characteristic
374	Dic₃×Dic₅	C₂³	1	1	yes	characteristic
375	C₃×#529	—	5	1	no	—
376	#5712	—	5	1	no	—
377	#5712	—	5	1	no	—
378	#5712	—	5	1	no	—
379	#5712	—	5	1	no	—
380	#5699	—	5	1	no	—
381	C₃⋊#564	—	5	1	no	—
382	#5684	—	5	1	no	—
383	#5672	—	5	1	no	—
384	#5667	—	5	1	no	—
385	#5667	—	5	1	no	—
386	#5651	—	5	1	no	—
387	#5651	—	5	1	no	—
388	#5646	—	5	1	no	—
389	#5646	—	5	1	no	—
390	#5621	—	5	1	no	—
391	#5621	—	5	1	no	—
392	#5578	—	5	1	no	—
393	#5578	D₅	1	1	yes	characteristic, complemented
394	#5557	—	5	1	no	—
395	#5557	—	5	1	no	—
396	#5538	—	5	1	no	—
397	#5538	—	5	1	no	—
398	#5538	—	5	1	no	—
399	#5538	—	5	1	no	—
400	#5528	—	5	1	no	—
401	#5528	—	5	1	no	—
402	#5517	—	5	1	no	—
403	#5517	—	5	1	no	—
404	#5479	—	5	1	no	—
405	#5470	—	5	1	no	—
406	C₅×C₄⋊Q₈	—	3	1	no	—
407	C₅×C₄⋊Q₈	—	3	1	no	—
408	C₅×#125	—	3	1	no	—
409	C₅×#125	—	3	1	no	—
410	C₅×C₂²⋊Q₈	—	3	1	no	—
411	C₅×C₂²⋊Q₈	—	3	1	no	—
412	C₅×C₂²⋊Q₈	—	3	1	no	—
413	C₅×C₂²⋊Q₈	—	3	1	no	—
414	C₄×C₅×Q₈	—	3	1	no	—
415	C₄×C₅×Q₈	—	3	1	no	—
416	C₄×C₅×Q₈	—	3	1	no	—
417	C₄×C₅×Q₈	C₂×D₃	1	1	yes	characteristic
418	C₅×#117	—	3	1	no	—
419	C₅×#117	—	3	1	no	—
420	C₂×C₄²×C₅	—	3	1	no	—
421	#4093	—	3	1	no	—
422	#4093	—	3	1	no	—
423	#4093	—	3	1	no	—
424	#4093	C₂×D₃	1	1	yes	characteristic
425	#4092	—	3	1	no	—
426	#4092	—	3	1	no	—
427	#4092	—	3	1	no	—
428	#4092	—	3	1	no	—
429	#4092	—	3	1	no	—
430	#4092	—	3	1	no	—
431	#4092	—	3	1	no	—
432	#4092	C₂×D₃	1	1	yes	characteristic
433	#4090	—	3	1	no	—
434	#4090	—	3	1	no	—
435	#4090	—	3	1	no	—
436	#4090	—	3	1	no	—
437	#4076	—	3	1	no	—
438	#4076	—	3	1	no	—
439	#4075	—	3	1	no	—
440	#4075	—	3	1	no	—
441	#4075	—	3	1	no	—
442	#4075	—	3	1	no	—
443	C₄×C₂²⋊D₅	—	3	1	no	—
444	C₄×C₂²⋊D₅	—	3	1	no	—
445	C₄×C₂²⋊D₅	—	3	1	no	—
446	C₄×C₂²⋊D₅	—	3	1	no	—
447	#4070	—	3	1	no	—
448	#4070	—	3	1	no	—
449	#4044	—	3	1	no	—
450	#4044	—	3	1	no	—
451	#4044	—	3	1	no	—
452	#4044	—	3	1	no	—
453	#4044	—	3	1	no	—
454	#4044	—	3	1	no	—
455	#4044	—	3	1	no	—
456	#4044	—	3	1	no	—
457	#4044	—	3	1	no	—
458	#4044	—	3	1	no	—
459	#4044	C₂×D₃	1	1	yes	characteristic
460	#4044	C₂×D₃	1	1	yes	characteristic
461	#4043	—	3	1	no	—
462	#4043	—	3	1	no	—
463	#4043	—	3	1	no	—
464	#4043	—	3	1	no	—
465	#4042	—	3	1	no	—
466	#4042	—	3	1	no	—
467	#4042	—	3	1	no	—
468	#4042	—	3	1	no	—
469	#4042	—	3	1	no	—
470	#4042	—	3	1	no	—
471	#4042	—	3	1	no	—
472	#4042	—	3	1	no	—
473	#4042	—	3	1	no	—
474	#4042	—	3	1	no	—
475	#4042	—	3	1	no	—
476	#4042	—	3	1	no	—
477	#4041	—	3	1	no	—
478	#4041	—	3	1	no	—
479	#4041	—	3	1	no	—
480	#4041	C₂×D₃	1	1	yes	characteristic
481	#4040	—	3	1	no	—
482	#4040	—	3	1	no	—
483	#4040	—	3	1	no	—
484	#4040	—	3	1	no	—
485	#4040	—	3	1	no	—
486	#4040	—	3	1	no	—
487	#4040	—	3	1	no	—
488	#4040	—	3	1	no	—
489	#4040	—	3	1	no	—
490	#4040	—	3	1	no	—
491	#4040	C₂×D₃	1	1	yes	characteristic
492	#4040	C₂×D₃	1	1	yes	characteristic
493	#4036	—	3	1	no	—
494	#4036	—	3	1	no	—
495	#4036	—	3	1	no	—
496	#4036	C₂×D₃	1	1	yes	characteristic
497	#4035	—	3	1	no	—
498	#4035	—	3	1	no	—
499	#4035	—	3	1	no	—
500	#4035	—	3	1	no	—
501	#4035	—	3	1	no	—
502	#4035	—	3	1	no	—
503	#4035	—	3	1	no	—
504	#4035	—	3	1	no	—
505	#4035	—	3	1	no	—
506	#4035	—	3	1	no	—
507	#4035	—	3	1	no	—
508	#4035	—	3	1	no	—
509	#4034	—	3	1	no	—
510	#4034	—	3	1	no	—
511	#4034	—	3	1	no	—
512	#4034	—	3	1	no	—
513	#4031	—	3	1	no	—
514	#4031	—	3	1	no	—
515	#4031	—	3	1	no	—
516	#4031	—	3	1	no	—
517	#4030	—	3	1	no	—
518	#4030	—	3	1	no	—
519	#4030	—	3	1	no	—
520	#4030	—	3	1	no	—
521	#4029	—	3	1	no	—
522	#4029	—	3	1	no	—
523	#4029	—	3	1	no	—
524	#4029	—	3	1	no	—
525	#4025	—	3	1	no	—
526	#4025	—	3	1	no	—
527	#4025	—	3	1	no	—
528	#4025	—	3	1	no	—
529	#4022	—	3	1	no	—
530	#4022	—	3	1	no	—
531	#4022	—	3	1	no	—
532	#4022	—	3	1	no	—
533	#4021	—	3	1	no	—
534	#4021	—	3	1	no	—
535	C₄×D₂₀	—	3	1	no	—
536	C₄×D₂₀	—	3	1	no	—
537	C₄×D₂₀	—	3	1	no	—
538	C₄×D₂₀	C₂×D₃	1	1	yes	characteristic
539	C₄×D₂₀	C₂×D₃	1	1	yes	characteristic
540	C₄×D₂₀	C₂×D₃	1	1	yes	characteristic
541	#4018	—	3	1	no	—
542	#4018	—	3	1	no	—
543	#4018	—	3	1	no	—
544	#4018	—	3	1	no	—
545	#4018	—	3	1	no	—
546	#4018	—	3	1	no	—
547	#4018	C₂×D₃	1	1	yes	characteristic
548	#4018	C₂×D₃	1	1	yes	characteristic
549	C₄²×D₅	—	3	1	no	—
550	C₄²×D₅	—	3	1	no	—
551	C₄²×D₅	—	3	1	no	—
552	C₄²×D₅	C₂×D₃	1	1	yes	characteristic
553	#4016	—	3	1	no	—
554	#4016	—	3	1	no	—
555	C₄×Dic₁₀	—	3	1	no	—
556	C₄×Dic₁₀	—	3	1	no	—
557	C₄×Dic₁₀	—	3	1	no	—
558	C₄×Dic₁₀	—	3	1	no	—
559	C₄×Dic₁₀	—	3	1	no	—
560	C₄×Dic₁₀	—	3	1	no	—
561	#3531	—	15	1	no	Sylow
562	C₂²×D₁₅	C₂⁴	1	1	yes	characteristic
563	C₂²×C₅×D₃	C₂⁴	1	1	yes	characteristic
564	C₂²×C₃×D₅	C₂⁴	1	1	yes	characteristic
565	C₂²×C₃×D₅	C₂⁴	1	1	yes	characteristic
566	C₂²×C₃×D₅	C₂⁴	1	1	yes	characteristic
567	C₃×C₅×Q₈	—	4	1	no	—
568	C₂×C₃×C₄×C₅	C₂⁴	1	1	yes	characteristic
569	C₂×C₃×C₄×C₅	C₂⁴	1	1	yes	characteristic
570	C₂×C₃×C₄×C₅	C₂⁴	1	1	yes	characteristic
571	C₂×C₃×C₄×C₅	C₂⁴	1	1	yes	characteristic
572	C₂×C₃×C₄×C₅	C₂⁴	1	1	yes	characteristic
573	C₂×C₃×C₄×C₅	C₂⁴	1	1	yes	characteristic
574	C₂×C₃×C₄×C₅	C₂⁴	1	1	yes	characteristic
575	C₂×Dic₁₅	C₂⁴	1	1	yes	characteristic
576	C₂×Dic₁₅	C₂⁴	1	1	yes	characteristic
577	C₂×Dic₁₅	C₂⁴	1	1	yes	characteristic
578	C₂×Dic₁₅	C₂⁴	1	1	yes	characteristic
579	C₂×Dic₁₅	C₂⁴	1	1	yes	characteristic
580	C₂×Dic₁₅	C₂⁴	1	1	yes	characteristic
581	C₂×Dic₁₅	C₂⁴	1	1	yes	characteristic
582	C₄×D₁₅	—	2	2	no	—
583	C₄×D₁₅	—	4	1	no	—
584	C₄×D₁₅	—	4	1	no	—
585	Dic₃₀	—	4	1	no	—
586	Dic₃₀	—	4	1	no	—
587	Dic₃₀	—	4	1	no	—
588	C₂×C₅×Dic₃	C₂⁴	1	1	yes	characteristic
589	C₂×C₅×Dic₃	C₂⁴	1	1	yes	characteristic
590	C₂×C₅×Dic₃	C₂⁴	1	1	yes	characteristic
591	C₂×C₅×Dic₃	C₂⁴	1	1	yes	characteristic
592	C₂×C₅×Dic₃	C₂⁴	1	1	yes	characteristic
593	C₂×C₅×Dic₃	C₂⁴	1	1	yes	characteristic
594	C₂×C₅×Dic₃	C₂⁴	1	1	yes	characteristic
595	C₄×C₅×D₃	—	2	2	no	—
596	C₄×C₅×D₃	—	4	1	no	—
597	C₄×C₅×D₃	—	4	1	no	—
598	C₅×Dic₆	—	4	1	no	—
599	C₅×Dic₆	—	4	1	no	—
600	C₅×Dic₆	—	4	1	no	—
601	C₂×C₃×Dic₅	C₂⁴	1	1	yes	characteristic
602	C₂×C₃×Dic₅	C₂⁴	1	1	yes	characteristic
603	C₂×C₃×Dic₅	C₂⁴	1	1	yes	characteristic
604	C₂×C₃×Dic₅	C₂⁴	1	1	yes	characteristic
605	C₂×C₃×Dic₅	C₂⁴	1	1	yes	characteristic
606	C₃×D₂₀	—	4	1	no	—
607	C₃×D₂₀	—	4	1	no	—
608	C₃×D₂₀	—	4	1	no	—
609	C₃×C₄×D₅	—	2	2	no	—
610	C₃×C₄×D₅	—	2	2	no	—
611	C₃×C₄×D₅	—	2	2	no	—
612	C₃×C₄×D₅	—	4	1	no	—
613	C₃×C₄×D₅	—	4	1	no	—
614	#1204	—	4	1	no	—
615	#1204	—	4	1	no	—
616	#1204	—	4	1	no	—
617	#1203	—	4	1	no	—
618	#1202	—	4	1	no	—
619	#1202	—	4	1	no	—
620	#1202	—	4	1	no	—
621	#1201	—	4	1	no	—
622	#1201	—	4	1	no	—
623	#1201	—	4	1	no	—
624	D₅×Dic₃	—	4	1	no	—
625	D₅×Dic₃	—	4	1	no	—
626	D₅×Dic₃	—	4	1	no	—
627	D₅×Dic₃	—	4	1	no	—
628	C₃×#126	—	5	1	no	—
629	C₃×#126	—	5	1	no	—
630	C₃×#125	—	5	1	no	—
631	C₃×#124	—	5	1	no	—
632	C₃×#123	—	5	1	no	—
633	C₃×#123	—	5	1	no	—
634	C₃×C₂²⋊Q₈	—	5	1	no	—
635	C₃×#121	—	5	1	no	—
636	C₃×C₄×Q₈	C₂×D₅	1	1	yes	characteristic
637	C₃×C₄×D₄	—	5	1	no	—
638	C₃×C₄×D₄	—	5	1	no	—
639	C₃×C₄×D₄	—	5	1	no	—
640	C₃×#117	—	5	1	no	—
641	C₃×#117	—	5	1	no	—
642	C₂×C₃×C₄²	—	5	1	no	—
643	#946	—	5	1	no	—
644	#946	C₂×D₅	1	1	yes	characteristic
645	#944	—	5	1	no	—
646	#944	C₂×D₅	1	1	yes	characteristic
647	#939	—	5	1	no	—
648	#939	—	5	1	no	—
649	#939	—	5	1	no	—
650	#939	—	5	1	no	—
651	#938	—	5	1	no	—
652	#938	—	5	1	no	—
653	#936	—	5	1	no	—
654	#936	—	5	1	no	—
655	#935	—	5	1	no	—
656	#935	—	5	1	no	—
657	#935	—	5	1	no	—
658	#935	—	5	1	no	—
659	#930	—	5	1	no	—
660	#929	—	5	1	no	—
661	#929	—	5	1	no	—
662	C₄×#67	—	5	1	no	—
663	C₄×#67	—	5	1	no	—
664	C₄×#67	—	5	1	no	—
665	C₄×#67	—	5	1	no	—
666	C₄×#67	—	5	1	no	—
667	C₄×#67	—	5	1	no	—
668	#926	—	5	1	no	—
669	#926	—	5	1	no	—
670	#926	—	5	1	no	—
671	#926	—	5	1	no	—
672	#924	—	5	1	no	—
673	#924	—	5	1	no	—
674	#924	—	5	1	no	—
675	#924	—	5	1	no	—
676	#924	—	5	1	no	—
677	C₂×C₄×Dic₃	—	5	1	no	—
678	C₂×C₄×Dic₃	—	5	1	no	—
679	#898	—	5	1	no	—
680	#898	—	5	1	no	—
681	#898	—	5	1	no	—
682	#898	—	5	1	no	—
683	#898	—	5	1	no	—
684	#898	—	5	1	no	—
685	#897	—	5	1	no	—
686	#897	—	5	1	no	—
687	#897	—	5	1	no	—
688	#897	C₂×D₅	1	1	yes	characteristic
689	#896	—	5	1	no	—
690	#896	—	5	1	no	—
691	#896	—	5	1	no	—
692	#896	—	5	1	no	—
693	#896	C₂×D₅	1	1	yes	characteristic
694	#896	C₂×D₅	1	1	yes	characteristic
695	#894	—	5	1	no	—
696	#894	—	5	1	no	—
697	#890	—	5	1	no	—
698	#890	—	5	1	no	—
699	#890	—	5	1	no	—
700	#890	—	5	1	no	—
701	#890	—	5	1	no	—
702	#890	—	5	1	no	—
703	#889	—	5	1	no	—
704	#889	—	5	1	no	—
705	#889	—	5	1	no	—
706	#889	—	5	1	no	—
707	#889	—	5	1	no	—
708	#889	—	5	1	no	—
709	#889	—	5	1	no	—
710	#889	—	5	1	no	—
711	#889	C₂×D₅	1	1	yes	characteristic
712	#889	C₂×D₅	1	1	yes	characteristic
713	#888	—	5	1	no	—
714	#888	—	5	1	no	—
715	#888	—	5	1	no	—
716	#888	—	5	1	no	—
717	#888	—	5	1	no	—
718	#888	C₂×D₅	1	1	yes	characteristic
719	#886	—	5	1	no	—
720	#886	—	5	1	no	—
721	#886	—	5	1	no	—
722	#886	—	5	1	no	—
723	#885	—	5	1	no	—
724	#885	—	5	1	no	—
725	#885	—	5	1	no	—
726	#885	—	5	1	no	—
727	#885	—	5	1	no	—
728	#885	—	5	1	no	—
729	#884	—	5	1	no	—
730	#884	—	5	1	no	—
731	#883	—	5	1	no	—
732	#883	—	5	1	no	—
733	#883	—	5	1	no	—
734	#883	—	5	1	no	—
735	#883	—	5	1	no	—
736	#883	—	5	1	no	—
737	#879	—	5	1	no	—
738	#879	—	5	1	no	—
739	#879	—	5	1	no	—
740	#879	—	5	1	no	—
741	#879	—	5	1	no	—
742	#879	—	5	1	no	—
743	#879	—	5	1	no	—
744	#879	—	5	1	no	—
745	#879	—	5	1	no	—
746	#879	—	5	1	no	—
747	#878	—	5	1	no	—
748	#878	—	5	1	no	—
749	#878	—	5	1	no	—
750	#878	—	5	1	no	—
751	#878	—	5	1	no	—
752	#878	—	5	1	no	—
753	#878	—	5	1	no	—
754	#878	—	5	1	no	—
755	#878	—	5	1	no	—
756	#878	—	5	1	no	—
757	#878	—	5	1	no	—
758	#878	—	5	1	no	—
759	#876	—	5	1	no	—
760	#876	—	5	1	no	—
761	#875	—	5	1	no	—
762	C₄×D₁₂	—	5	1	no	—
763	#872	—	5	1	no	—
764	#872	—	5	1	no	—
765	#872	C₂×D₅	1	1	yes	characteristic
766	#872	C₂×D₅	1	1	yes	characteristic
767	C₄²×D₃	—	5	1	no	—
768	C₄²×D₃	C₂×D₅	1	1	yes	characteristic
769	#870	—	5	1	no	—
770	#870	—	5	1	no	—
771	#870	—	5	1	no	—
772	#869	—	5	1	no	—
773	#869	—	5	1	no	—
774	C₄×Dic₆	—	5	1	no	—
775	C₄×Dic₆	—	5	1	no	—
776	C₄×Dic₆	—	5	1	no	—
777	C₄×Dic₆	—	5	1	no	—
778	C₄×Dic₆	—	5	1	no	—
779	C₄×Dic₆	—	5	1	no	—
780	C₄×Dic₆	C₂×D₅	1	1	yes	characteristic
781	C₄×Dic₆	C₂×D₅	1	1	yes	characteristic
782	C₄×Dic₆	C₂×D₅	1	1	yes	characteristic
783	C₂×C₅×Q₈	—	3	1	no	—
784	C₂×C₅×Q₈	—	3	1	no	—
785	C₂×C₅×Q₈	—	3	1	no	—
786	C₂×C₅×Q₈	C₂²×D₃	1	1	yes	characteristic
787	C₂²×C₄×C₅	—	3	1	no	—
788	C₂²×C₄×C₅	—	3	1	no	—
789	C₂²×C₄×C₅	—	3	1	no	—
790	C₂×C₂²⋊D₅	—	3	1	no	—
791	C₂×C₂²⋊D₅	—	3	1	no	—
792	C₂×C₂²⋊D₅	—	3	1	no	—
793	C₂×C₂²⋊D₅	—	3	1	no	—
794	C₂×D₂₀	—	3	1	no	—
795	C₂×D₂₀	—	3	1	no	—
796	C₂×D₂₀	—	3	1	no	—
797	C₂×D₂₀	C₂²×D₃	1	1	yes	characteristic
798	C₂×D₂₀	C₂²×D₃	1	1	yes	characteristic
799	C₂×D₂₀	C₂²×D₃	1	1	yes	characteristic
800	C₂×C₄×D₅	—	3	1	no	—
801	C₂×C₄×D₅	—	3	1	no	—
802	C₂×C₄×D₅	—	3	1	no	—
803	C₂×C₄×D₅	—	3	1	no	—
804	C₂×C₄×D₅	—	3	1	no	—
805	C₂×C₄×D₅	—	3	1	no	—
806	C₂×C₄×D₅	—	3	1	no	—
807	C₂×C₄×D₅	C₂²×D₃	1	1	yes	characteristic
808	C₂×C₄×D₅	C₂²×D₃	1	1	yes	characteristic
809	C₂×C₄×D₅	C₂²×D₃	1	1	yes	characteristic
810	C₂×C₄×D₅	C₂²×D₃	1	1	yes	characteristic
811	C₂×C₄×D₅	C₂²×D₃	1	1	yes	characteristic
812	C₂×Dic₁₀	—	3	1	no	—
813	C₂×Dic₁₀	—	3	1	no	—
814	C₂×Dic₁₀	—	3	1	no	—
815	C₂×Dic₁₀	—	3	1	no	—
816	C₂×Dic₁₀	—	3	1	no	—
817	C₂×Dic₁₀	—	3	1	no	—
818	C₅×C₄⋊C₄	—	3	1	no	—
819	C₅×C₄⋊C₄	—	3	1	no	—
820	C₅×C₄⋊C₄	—	3	1	no	—
821	C₅×C₄⋊C₄	—	3	1	no	—
822	C₅×C₄⋊C₄	—	3	1	no	—
823	C₅×C₄⋊C₄	—	3	1	no	—
824	C₅×C₄⋊C₄	—	3	1	no	—
825	C₅×C₄⋊C₄	—	3	1	no	—
826	C₅×C₄⋊C₄	—	3	1	no	—
827	C₅×C₄⋊C₄	—	3	1	no	—
828	C₅×C₄⋊C₄	—	3	1	no	—
829	C₅×C₄⋊C₄	—	3	1	no	—
830	C₅×C₄⋊C₄	—	3	1	no	—
831	C₅×C₄⋊C₄	C₂²×D₃	1	1	yes	characteristic
832	C₅×C₄⋊C₄	C₂²×D₃	1	1	yes	characteristic
833	C₅×C₄⋊C₄	C₂²×D₃	1	1	yes	characteristic
834	C₅×C₂²⋊C₄	—	3	1	no	—
835	C₅×C₂²⋊C₄	—	3	1	no	—
836	C₅×C₂²⋊C₄	—	3	1	no	—
837	C₅×C₂²⋊C₄	—	3	1	no	—
838	C₄²×C₅	—	3	1	no	—
839	C₄²×C₅	—	3	1	no	—
840	C₄²×C₅	—	3	1	no	—
841	C₄²×C₅	—	3	1	no	—
842	C₄²×C₅	—	3	1	no	—
843	C₄²×C₅	C₂²×D₃	1	1	yes	characteristic
844	C₄²×C₅	C₂²×D₃	1	1	yes	characteristic
845	C₄²×C₅	C₂²×D₃	1	1	yes	characteristic
846	C₂²⋊Dic₅	—	3	1	no	—
847	C₂²⋊Dic₅	—	3	1	no	—
848	C₂²⋊Dic₅	—	3	1	no	—
849	C₂²⋊Dic₅	—	3	1	no	—
850	#685	—	3	1	no	—
851	#685	—	3	1	no	—
852	#685	—	3	1	no	—
853	#685	—	3	1	no	—
854	#685	—	3	1	no	—
855	#685	—	3	1	no	—
856	#685	—	3	1	no	—
857	#685	—	3	1	no	—
858	#685	—	3	1	no	—
859	#685	—	3	1	no	—
860	#685	—	3	1	no	—
861	#685	—	3	1	no	—
862	#685	—	3	1	no	—
863	#685	—	3	1	no	—
864	#685	—	3	1	no	—
865	#685	—	3	1	no	—
866	#685	—	3	1	no	—
867	#685	—	3	1	no	—
868	#685	—	3	1	no	—
869	#685	—	3	1	no	—
870	#685	—	3	1	no	—
871	#685	—	3	1	no	—
872	#685	C₂²×D₃	1	1	yes	characteristic
873	#685	C₂²×D₃	1	1	yes	characteristic
874	#685	C₂²×D₃	1	1	yes	characteristic
875	#685	C₂²×D₃	1	1	yes	characteristic
876	#685	C₂²×D₃	1	1	yes	characteristic
877	#685	C₂²×D₃	1	1	yes	characteristic
878	#685	C₂²×D₃	1	1	yes	characteristic
879	#685	C₂²×D₃	1	1	yes	characteristic
880	#685	C₂²×D₃	1	1	yes	characteristic
881	#685	C₂²×D₃	1	1	yes	characteristic
882	C₄⋊Dic₅	—	3	1	no	—
883	C₄⋊Dic₅	—	3	1	no	—
884	C₄⋊Dic₅	—	3	1	no	—
885	C₄⋊Dic₅	—	3	1	no	—
886	C₄⋊Dic₅	—	3	1	no	—
887	C₄⋊Dic₅	—	3	1	no	—
888	C₄⋊Dic₅	—	3	1	no	—
889	C₄⋊Dic₅	—	3	1	no	—
890	C₄⋊Dic₅	—	3	1	no	—
891	C₄⋊Dic₅	C₂²×D₃	1	1	yes	characteristic
892	C₄⋊Dic₅	C₂²×D₃	1	1	yes	characteristic
893	C₄⋊Dic₅	C₂²×D₃	1	1	yes	characteristic
894	#683	—	3	1	no	—
895	#683	—	3	1	no	—
896	#683	—	3	1	no	—
897	#683	—	3	1	no	—
898	#683	—	3	1	no	—
899	#683	—	3	1	no	—
900	#683	—	3	1	no	—
901	#683	—	3	1	no	—
902	#683	—	3	1	no	—
903	#683	—	3	1	no	—
904	#683	—	3	1	no	—
905	#683	—	3	1	no	—
906	#683	—	3	1	no	—
907	#683	—	3	1	no	—
908	#683	—	3	1	no	—
909	#683	—	3	1	no	—
910	#683	—	3	1	no	—
911	#683	—	3	1	no	—
912	#683	—	3	1	no	—
913	#683	—	3	1	no	—
914	#683	—	3	1	no	—
915	#683	—	3	1	no	—
916	#683	—	3	1	no	—
917	#683	—	3	1	no	—
918	#683	—	3	1	no	—
919	#683	—	3	1	no	—
920	#683	—	3	1	no	—
921	#683	—	3	1	no	—
922	#683	C₂²×D₃	1	1	yes	characteristic
923	#683	C₂²×D₃	1	1	yes	characteristic
924	#683	C₂²×D₃	1	1	yes	characteristic
925	#683	C₂²×D₃	1	1	yes	characteristic
926	C₄×Dic₅	—	3	1	no	—
927	C₄×Dic₅	—	3	1	no	—
928	C₄×Dic₅	—	3	1	no	—
929	C₄×Dic₅	—	3	1	no	—
930	C₄×Dic₅	—	3	1	no	—
931	C₄×Dic₅	—	3	1	no	—
932	C₄×Dic₅	—	3	1	no	—
933	C₄×Dic₅	—	3	1	no	—
934	C₄×Dic₅	—	3	1	no	—
935	C₄×Dic₅	C₂²×D₃	1	1	yes	characteristic
936	C₄×Dic₅	C₂²×D₃	1	1	yes	characteristic
937	C₄×Dic₅	C₂²×D₃	1	1	yes	characteristic
938	#564	—	15	1	no	—
939	#563	—	15	1	no	—
940	#563	—	15	1	no	—
941	#563	—	15	1	no	—
942	#563	—	15	1	no	—
943	#563	—	15	1	no	—
944	#563	—	15	1	no	—
945	#563	—	15	1	no	—
946	#563	—	15	1	no	—
947	#563	—	15	1	no	—
948	#563	—	15	1	no	—
949	#562	—	15	1	no	—
950	#562	—	15	1	no	—
951	#562	—	15	1	no	—
952	#562	—	15	1	no	—
953	#562	—	15	1	no	—
954	#533	—	3	1	no	—
955	#533	—	15	1	no	—
956	#533	—	15	1	no	—
957	#533	—	15	1	no	—
958	#533	—	15	1	no	—
959	#529	—	5	1	no	—
960	#529	—	15	1	no	—
961	#529	—	15	1	no	—
962	#529	—	15	1	no	—
963	#529	—	15	1	no	—
964	#529	—	15	1	no	—
965	#529	—	15	1	no	—
966	#529	—	15	1	no	—
967	#529	—	15	1	no	—
968	#529	—	15	1	no	—
969	C₂²×C₃×C₅	C₂⁵	1	1	yes	characteristic
970	C₂×D₁₅	—	2	1	no	—
971	C₂×D₁₅	—	2	1	no	—
972	C₂×D₁₅	—	2	1	no	—
973	C₂×C₅×D₃	—	2	1	no	—
974	C₂×C₅×D₃	—	2	1	no	—
975	C₂×C₅×D₃	—	2	1	no	—
976	C₂×C₃×D₅	—	2	1	no	—
977	C₂×C₃×D₅	—	2	1	no	—
978	C₂×C₃×D₅	—	2	1	no	—
979	C₂×C₃×D₅	—	2	1	no	—
980	C₂×C₃×D₅	—	2	1	no	—
981	C₂×C₃×D₅	—	2	1	no	—
982	C₂×C₃×D₅	—	2	1	no	—
983	C₂×C₃×D₅	—	2	1	no	—
984	C₂×C₃×D₅	—	2	1	no	—
985	C₃×C₄×C₅	—	2	1	no	—
986	C₃×C₄×C₅	—	2	1	no	—
987	C₃×C₄×C₅	—	2	1	no	—
988	C₃×C₄×C₅	—	2	1	no	—
989	C₃×C₄×C₅	—	2	1	no	—
990	C₃×C₄×C₅	—	2	1	no	—
991	C₃×C₄×C₅	2₋¹⁺⁴	1	2	yes	—
992	Dic₁₅	—	2	1	no	—
993	Dic₁₅	—	2	1	no	—
994	Dic₁₅	—	2	1	no	—
995	Dic₁₅	—	2	1	no	—
996	Dic₁₅	—	2	1	no	—
997	Dic₁₅	—	2	1	no	—
998	Dic₁₅	—	2	1	no	—
999	C₃×Dic₅	—	2	1	no	—
1000	C₃×Dic₅	—	2	1	no	—
1001	C₃×Dic₅	—	2	1	no	—
1002	C₃×Dic₅	—	2	1	no	—
1003	C₃×Dic₅	—	2	1	no	—
1004	C₅×Dic₃	—	2	1	no	—
1005	C₅×Dic₃	—	2	1	no	—
1006	C₅×Dic₃	—	2	1	no	—
1007	C₅×Dic₃	—	2	1	no	—
1008	C₅×Dic₃	—	2	1	no	—
1009	C₅×Dic₃	—	2	1	no	—
1010	C₅×Dic₃	—	2	1	no	—
1011	C₂×C₃×Q₈	C₂²×D₅	1	1	yes	characteristic
1012	C₂×C₃×D₄	—	5	1	no	—
1013	C₂×C₃×D₄	—	5	1	no	—
1014	C₂×C₃×D₄	—	5	1	no	—
1015	C₂²×C₃×C₄	—	5	1	no	—
1016	C₂²×C₃×C₄	—	5	1	no	—
1017	C₂²×C₃×C₄	—	5	1	no	—
1018	C₂²×C₃×C₄	—	5	1	no	—
1019	C₂²×C₃×C₄	—	5	1	no	—
1020	C₂×#67	—	5	1	no	—
1021	C₂×#67	—	5	1	no	—
1022	C₂×#67	—	5	1	no	—
1023	C₂×#67	—	5	1	no	—
1024	C₂×#67	—	5	1	no	—
1025	C₂×#67	—	5	1	no	—
1026	C₂²×Dic₃	—	5	1	no	—
1027	C₂²×Dic₃	—	5	1	no	—
1028	C₂²×Dic₃	—	5	1	no	—
1029	C₂²×Dic₃	—	5	1	no	—
1030	C₂×D₁₂	—	5	1	no	—
1031	C₂×C₄×D₃	—	5	1	no	—
1032	C₂×C₄×D₃	—	5	1	no	—
1033	C₂×C₄×D₃	—	5	1	no	—
1034	C₂×C₄×D₃	C₂²×D₅	1	1	yes	characteristic
1035	C₂×C₄×D₃	C₂²×D₅	1	1	yes	characteristic
1036	C₂×C₄×D₃	C₂²×D₅	1	1	yes	characteristic
1037	C₂×Dic₆	—	5	1	no	—
1038	C₂×Dic₆	—	5	1	no	—
1039	C₂×Dic₆	—	5	1	no	—
1040	C₂×Dic₆	—	5	1	no	—
1041	C₂×Dic₆	—	5	1	no	—
1042	C₂×Dic₆	—	5	1	no	—
1043	C₂×Dic₆	C₂²×D₅	1	1	yes	characteristic
1044	C₂×Dic₆	C₂²×D₅	1	1	yes	characteristic
1045	C₂×Dic₆	C₂²×D₅	1	1	yes	characteristic
1046	C₃×C₄⋊C₄	—	5	1	no	—
1047	C₃×C₄⋊C₄	—	5	1	no	—
1048	C₃×C₄⋊C₄	—	5	1	no	—
1049	C₃×C₄⋊C₄	—	5	1	no	—
1050	C₃×C₄⋊C₄	—	5	1	no	—
1051	C₃×C₄⋊C₄	—	5	1	no	—
1052	C₃×C₄⋊C₄	—	5	1	no	—
1053	C₃×C₄⋊C₄	C₂²×D₅	1	1	yes	characteristic
1054	C₃×C₄⋊C₄	C₂²×D₅	1	1	yes	characteristic
1055	C₃×C₄⋊C₄	C₂²×D₅	1	1	yes	characteristic
1056	C₃×C₂²⋊C₄	—	5	1	no	—
1057	C₃×C₂²⋊C₄	—	5	1	no	—
1058	C₃×C₂²⋊C₄	—	5	1	no	—
1059	C₃×C₂²⋊C₄	—	5	1	no	—
1060	C₃×C₂²⋊C₄	—	5	1	no	—
1061	C₃×C₂²⋊C₄	—	5	1	no	—
1062	C₃×C₂²⋊C₄	—	5	1	no	—
1063	C₃×C₂²⋊C₄	—	5	1	no	—
1064	C₃×C₂²⋊C₄	—	5	1	no	—
1065	C₃×C₂²⋊C₄	—	5	1	no	—
1066	C₃×C₄²	—	5	1	no	—
1067	C₃×C₄²	—	5	1	no	—
1068	C₃×C₄²	—	5	1	no	—
1069	C₃×C₄²	C₂²×D₅	1	1	yes	characteristic
1070	C₃×C₄²	C₂²×D₅	1	1	yes	characteristic
1071	C₃×C₄²	C₂²×D₅	1	1	yes	characteristic
1072	#217	—	5	1	no	—
1073	#217	—	5	1	no	—
1074	#217	—	5	1	no	—
1075	#217	—	5	1	no	—
1076	#217	—	5	1	no	—
1077	#217	—	5	1	no	—
1078	#217	—	5	1	no	—
1079	#217	—	5	1	no	—
1080	#217	—	5	1	no	—
1081	#217	—	5	1	no	—
1082	#217	—	5	1	no	—
1083	#217	—	5	1	no	—
1084	#217	—	5	1	no	—
1085	#217	—	5	1	no	—
1086	(C₂×D₃)⋊C₄	—	5	1	no	—
1087	(C₂×D₃)⋊C₄	—	5	1	no	—
1088	(C₂×D₃)⋊C₄	—	5	1	no	—
1089	(C₂×D₃)⋊C₄	—	5	1	no	—
1090	(C₂×D₃)⋊C₄	—	5	1	no	—
1091	(C₂×D₃)⋊C₄	—	5	1	no	—
1092	(C₂×D₃)⋊C₄	—	5	1	no	—
1093	(C₂×D₃)⋊C₄	—	5	1	no	—
1094	(C₂×D₃)⋊C₄	—	5	1	no	—
1095	(C₂×D₃)⋊C₄	—	5	1	no	—
1096	(C₂×D₃)⋊C₄	—	5	1	no	—
1097	(C₂×D₃)⋊C₄	—	5	1	no	—
1098	(C₂×D₃)⋊C₄	C₂²×D₅	1	1	yes	characteristic
1099	(C₂×D₃)⋊C₄	C₂²×D₅	1	1	yes	characteristic
1100	(C₂×D₃)⋊C₄	C₂²×D₅	1	1	yes	characteristic
1101	(C₂×D₃)⋊C₄	C₂²×D₅	1	1	yes	characteristic
1102	C₄⋊Dic₃	—	5	1	no	—
1103	C₄⋊Dic₃	—	5	1	no	—
1104	C₄⋊Dic₃	—	5	1	no	—
1105	C₄⋊Dic₃	—	5	1	no	—
1106	C₄⋊Dic₃	—	5	1	no	—
1107	C₄⋊Dic₃	—	5	1	no	—
1108	C₄⋊Dic₃	—	5	1	no	—
1109	C₄⋊Dic₃	—	5	1	no	—
1110	C₄⋊Dic₃	—	5	1	no	—
1111	C₄⋊Dic₃	—	5	1	no	—
1112	C₄⋊Dic₃	—	5	1	no	—
1113	C₄⋊Dic₃	—	5	1	no	—
1114	C₄⋊Dic₃	—	5	1	no	—
1115	C₄⋊Dic₃	—	5	1	no	—
1116	C₄⋊Dic₃	—	5	1	no	—
1117	C₄⋊Dic₃	C₂²×D₅	1	1	yes	characteristic
1118	C₄⋊Dic₃	C₂²×D₅	1	1	yes	characteristic
1119	C₄⋊Dic₃	C₂²×D₅	1	1	yes	characteristic
1120	Dic₃⋊C₄	—	5	1	no	—
1121	Dic₃⋊C₄	—	5	1	no	—
1122	Dic₃⋊C₄	—	5	1	no	—
1123	Dic₃⋊C₄	—	5	1	no	—
1124	Dic₃⋊C₄	—	5	1	no	—
1125	Dic₃⋊C₄	—	5	1	no	—
1126	Dic₃⋊C₄	—	5	1	no	—
1127	Dic₃⋊C₄	—	5	1	no	—
1128	Dic₃⋊C₄	—	5	1	no	—
1129	Dic₃⋊C₄	—	5	1	no	—
1130	Dic₃⋊C₄	—	5	1	no	—
1131	Dic₃⋊C₄	—	5	1	no	—
1132	Dic₃⋊C₄	—	5	1	no	—
1133	Dic₃⋊C₄	—	5	1	no	—
1134	Dic₃⋊C₄	—	5	1	no	—
1135	Dic₃⋊C₄	—	5	1	no	—
1136	Dic₃⋊C₄	—	5	1	no	—
1137	Dic₃⋊C₄	—	5	1	no	—
1138	Dic₃⋊C₄	—	5	1	no	—
1139	Dic₃⋊C₄	—	5	1	no	—
1140	Dic₃⋊C₄	—	5	1	no	—
1141	Dic₃⋊C₄	—	5	1	no	—
1142	Dic₃⋊C₄	C₂²×D₅	1	1	yes	characteristic
1143	Dic₃⋊C₄	C₂²×D₅	1	1	yes	characteristic
1144	Dic₃⋊C₄	C₂²×D₅	1	1	yes	characteristic
1145	Dic₃⋊C₄	C₂²×D₅	1	1	yes	characteristic
1146	Dic₃⋊C₄	C₂²×D₅	1	1	yes	characteristic
1147	Dic₃⋊C₄	C₂²×D₅	1	1	yes	characteristic
1148	Dic₃⋊C₄	C₂²×D₅	1	1	yes	characteristic
1149	Dic₃⋊C₄	C₂²×D₅	1	1	yes	characteristic
1150	Dic₃⋊C₄	C₂²×D₅	1	1	yes	characteristic
1151	Dic₃⋊C₄	C₂²×D₅	1	1	yes	characteristic
1152	C₄×Dic₃	—	5	1	no	—
1153	C₄×Dic₃	—	5	1	no	—
1154	C₄×Dic₃	—	5	1	no	—
1155	C₄×Dic₃	—	5	1	no	—
1156	C₄×Dic₃	—	5	1	no	—
1157	C₄×Dic₃	—	5	1	no	—
1158	C₄×Dic₃	—	5	1	no	—
1159	C₄×Dic₃	—	5	1	no	—
1160	C₄×Dic₃	—	5	1	no	—
1161	C₄×Dic₃	C₂²×D₅	1	1	yes	characteristic
1162	C₄×Dic₃	C₂²×D₅	1	1	yes	characteristic
1163	C₄×Dic₃	C₂²×D₅	1	1	yes	characteristic
1164	C₄×Dic₃	C₂²×D₅	1	1	yes	characteristic
1165	C₄×Dic₃	C₂²×D₅	1	1	yes	characteristic
1166	C₂³×C₅	—	3	1	no	—
1167	C₂²×D₅	—	3	1	no	—
1168	C₂²×D₅	C₂³×D₃	1	1	yes	characteristic
1169	C₂²×D₅	C₂³×D₃	1	1	yes	characteristic
1170	C₂²×D₅	C₂³×D₃	1	1	yes	characteristic
1171	C₅×Q₈	—	4	1	no	—
1172	C₅×Q₈	—	12	1	no	—
1173	C₅×Q₈	—	12	1	no	—
1174	C₅×Q₈	—	12	1	no	—
1175	C₂×C₄×C₅	—	3	1	no	—
1176	C₂×C₄×C₅	—	3	1	no	—
1177	C₂×C₄×C₅	—	3	1	no	—
1178	C₂×C₄×C₅	—	3	1	no	—
1179	C₂×C₄×C₅	—	3	1	no	—
1180	C₂×C₄×C₅	—	3	1	no	—
1181	C₂×C₄×C₅	—	3	1	no	—
1182	C₂×C₄×C₅	—	6	2	no	—
1183	C₂×C₄×C₅	—	12	1	no	—
1184	C₂×C₄×C₅	—	12	1	no	—
1185	C₂×C₄×C₅	C₂³×D₃	1	1	yes	characteristic
1186	C₂×C₄×C₅	C₂³×D₃	1	1	yes	characteristic
1187	C₂×C₄×C₅	C₂³×D₃	1	1	yes	characteristic
1188	C₂×C₄×C₅	C₂³×D₃	1	1	yes	characteristic
1189	C₂×C₄×C₅	C₂³×D₃	1	1	yes	characteristic
1190	C₂×C₄×C₅	C₂³×D₃	1	1	yes	characteristic
1191	C₂×C₄×C₅	C₂³×D₃	1	1	yes	characteristic
1192	C₂²⋊D₅	—	12	1	no	—
1193	C₂²⋊D₅	—	12	1	no	—
1194	C₂²⋊D₅	—	12	1	no	—
1195	C₂²⋊D₅	—	12	1	no	—
1196	C₂×Dic₅	—	3	1	no	—
1197	C₂×Dic₅	—	3	1	no	—
1198	C₂×Dic₅	—	3	1	no	—
1199	C₂×Dic₅	—	3	1	no	—
1200	C₂×Dic₅	—	3	1	no	—
1201	C₂×Dic₅	—	3	1	no	—
1202	C₂×Dic₅	—	3	1	no	—
1203	C₂×Dic₅	C₂³×D₃	1	1	yes	characteristic
1204	C₂×Dic₅	C₂³×D₃	1	1	yes	characteristic
1205	C₂×Dic₅	C₂³×D₃	1	1	yes	characteristic
1206	C₂×Dic₅	C₂³×D₃	1	1	yes	characteristic
1207	C₂×Dic₅	C₂³×D₃	1	1	yes	characteristic
1208	D₂₀	—	4	1	no	—
1209	D₂₀	—	4	1	no	—
1210	D₂₀	—	4	1	no	—
1211	D₂₀	—	12	1	no	—
1212	D₂₀	—	12	1	no	—
1213	D₂₀	—	12	1	no	—
1214	C₄×D₅	—	2	2	no	—
1215	C₄×D₅	—	2	2	no	—
1216	C₄×D₅	—	2	2	no	—
1217	C₄×D₅	—	4	1	no	—
1218	C₄×D₅	—	4	1	no	—
1219	C₄×D₅	—	6	2	no	—
1220	C₄×D₅	—	12	1	no	—
1221	C₄×D₅	—	12	1	no	—
1222	C₄×D₅	—	12	1	no	—
1223	C₄×D₅	—	12	1	no	—
1224	C₄×D₅	—	12	1	no	—
1225	C₄×D₅	—	12	1	no	—
1226	Dic₁₀	—	12	1	no	—
1227	Dic₁₀	—	12	1	no	—
1228	Dic₁₀	—	12	1	no	—
1229	Dic₁₀	—	12	1	no	—
1230	Dic₁₀	—	12	1	no	—
1231	Dic₁₀	—	12	1	no	—
1232	C₄⋊Q₈	—	3	1	no	—
1233	C₄⋊Q₈	—	3	1	no	—
1234	C₄⋊Q₈	—	15	1	no	—
1235	C₄⋊Q₈	—	15	1	no	—
1236	C₄⋊Q₈	—	15	1	no	—
1237	C₄⋊Q₈	—	15	1	no	—
1238	C₄⋊Q₈	—	15	1	no	—
1239	C₄⋊Q₈	—	15	1	no	—
1240	C₄⋊Q₈	—	15	1	no	—
1241	C₄⋊Q₈	—	15	1	no	—
1242	#126	—	5	1	no	—
1243	#126	—	5	1	no	—
1244	#126	—	15	1	no	—
1245	#126	—	15	1	no	—
1246	#126	—	15	1	no	—
1247	#126	—	15	1	no	—
1248	#126	—	15	1	no	—
1249	#126	—	15	1	no	—
1250	#126	—	15	1	no	—
1251	#126	—	15	1	no	—
1252	#126	—	15	1	no	—
1253	#126	—	15	1	no	—
1254	#126	—	15	1	no	—
1255	#126	—	15	1	no	—
1256	#126	—	15	1	no	—
1257	#126	—	15	1	no	—
1258	#126	—	15	1	no	—
1259	#126	—	15	1	no	—
1260	#126	—	15	1	no	—
1261	#126	—	15	1	no	—
1262	#125	—	3	1	no	—
1263	#125	—	3	1	no	—
1264	#125	—	5	1	no	—
1265	#125	—	15	1	no	—
1266	#125	—	15	1	no	—
1267	#125	—	15	1	no	—
1268	#125	—	15	1	no	—
1269	#125	—	15	1	no	—
1270	#125	—	15	1	no	—
1271	#125	—	15	1	no	—
1272	#125	—	15	1	no	—
1273	#125	—	15	1	no	—
1274	#125	—	15	1	no	—
1275	#125	—	15	1	no	—
1276	#125	—	15	1	no	—
1277	#125	—	15	1	no	—
1278	#125	—	15	1	no	—
1279	#125	—	15	1	no	—
1280	#125	—	15	1	no	—
1281	#125	—	15	1	no	—
1282	#124	—	5	1	no	—
1283	#124	—	15	1	no	—
1284	#124	—	15	1	no	—
1285	#124	—	15	1	no	—
1286	#124	—	15	1	no	—
1287	#124	—	15	1	no	—
1288	#124	—	15	1	no	—
1289	#124	—	15	1	no	—
1290	#124	—	15	1	no	—
1291	#124	—	15	1	no	—
1292	#123	—	5	1	no	—
1293	#123	—	5	1	no	—
1294	#123	—	15	1	no	—
1295	#123	—	15	1	no	—
1296	#123	—	15	1	no	—
1297	#123	—	15	1	no	—
1298	#123	—	15	1	no	—
1299	#123	—	15	1	no	—
1300	#123	—	15	1	no	—
1301	#123	—	15	1	no	—
1302	#123	—	15	1	no	—
1303	#123	—	15	1	no	—
1304	#123	—	15	1	no	—
1305	#123	—	15	1	no	—
1306	#123	—	15	1	no	—
1307	#123	—	15	1	no	—
1308	#123	—	15	1	no	—
1309	#123	—	15	1	no	—
1310	#123	—	15	1	no	—
1311	#123	—	15	1	no	—
1312	C₂²⋊Q₈	—	3	1	no	—
1313	C₂²⋊Q₈	—	3	1	no	—
1314	C₂²⋊Q₈	—	3	1	no	—
1315	C₂²⋊Q₈	—	3	1	no	—
1316	C₂²⋊Q₈	—	5	1	no	—
1317	C₂²⋊Q₈	—	15	1	no	—
1318	C₂²⋊Q₈	—	15	1	no	—
1319	C₂²⋊Q₈	—	15	1	no	—
1320	C₂²⋊Q₈	—	15	1	no	—
1321	C₂²⋊Q₈	—	15	1	no	—
1322	C₂²⋊Q₈	—	15	1	no	—
1323	C₂²⋊Q₈	—	15	1	no	—
1324	C₂²⋊Q₈	—	15	1	no	—
1325	C₂²⋊Q₈	—	15	1	no	—
1326	C₂²⋊Q₈	—	15	1	no	—
1327	C₂²⋊Q₈	—	15	1	no	—
1328	C₂²⋊Q₈	—	15	1	no	—
1329	C₂²⋊Q₈	—	15	1	no	—
1330	C₂²⋊Q₈	—	15	1	no	—
1331	C₂²⋊Q₈	—	15	1	no	—
1332	C₂²⋊Q₈	—	15	1	no	—
1333	C₂²⋊Q₈	—	15	1	no	—
1334	C₂²⋊Q₈	—	15	1	no	—
1335	C₂²⋊Q₈	—	15	1	no	—
1336	C₂²⋊Q₈	—	15	1	no	—
1337	C₂²⋊Q₈	—	15	1	no	—
1338	C₂²⋊Q₈	—	15	1	no	—
1339	C₂²⋊Q₈	—	15	1	no	—
1340	C₂²⋊Q₈	—	15	1	no	—
1341	C₂²⋊Q₈	—	15	1	no	—
1342	#121	—	5	1	no	—
1343	#121	—	15	1	no	—
1344	#121	—	15	1	no	—
1345	#121	—	15	1	no	—
1346	#121	—	15	1	no	—
1347	#121	—	15	1	no	—
1348	#121	—	15	1	no	—
1349	#121	—	15	1	no	—
1350	#121	—	15	1	no	—
1351	#121	—	15	1	no	—
1352	C₄×Q₈	—	3	1	no	—
1353	C₄×Q₈	—	3	1	no	—
1354	C₄×Q₈	—	3	1	no	—
1355	C₄×Q₈	—	15	1	no	—
1356	C₄×Q₈	—	15	1	no	—
1357	C₄×Q₈	—	15	1	no	—
1358	C₄×Q₈	—	15	1	no	—
1359	C₄×Q₈	—	15	1	no	—
1360	C₄×Q₈	—	15	1	no	—
1361	C₄×Q₈	D₃×D₅	1	1	yes	characteristic
1362	C₄×D₄	—	5	1	no	—
1363	C₄×D₄	—	5	1	no	—
1364	C₄×D₄	—	5	1	no	—
1365	C₄×D₄	—	15	1	no	—
1366	C₄×D₄	—	15	1	no	—
1367	C₄×D₄	—	15	1	no	—
1368	C₄×D₄	—	15	1	no	—
1369	C₄×D₄	—	15	1	no	—
1370	C₄×D₄	—	15	1	no	—
1371	C₄×D₄	—	15	1	no	—
1372	#117	—	3	1	no	—
1373	#117	—	3	1	no	—
1374	#117	—	5	1	no	—
1375	#117	—	5	1	no	—
1376	#117	—	15	1	no	—
1377	#117	—	15	1	no	—
1378	#117	—	15	1	no	—
1379	#117	—	15	1	no	—
1380	#117	—	15	1	no	—
1381	#117	—	15	1	no	—
1382	C₂×C₄²	—	3	1	no	—
1383	C₂×C₄²	—	5	1	no	—
1384	C₂×C₄²	—	15	1	no	—
1385	C₂×C₄²	—	15	1	no	—
1386	C₂×C₄²	—	15	1	no	—
1387	C₂×C₃×C₅	C₂×2₋¹⁺⁴	1	1	yes	characteristic
1388	C₂×C₃×C₅	#585	1	1	yes	characteristic
1389	C₂×C₃×C₅	#585	1	1	yes	characteristic
1390	D₁₅	—	4	1	no	—
1391	C₃×D₅	—	4	1	no	—
1392	C₃×D₅	—	4	1	no	—
1393	C₃×D₅	—	4	1	no	—
1394	C₅×D₃	—	4	1	no	—
1395	C₂³×C₃	—	5	1	no	—
1396	C₂³×C₃	—	5	1	no	—
1397	C₂³×C₃	—	5	1	no	—
1398	C₂²×D₃	—	5	1	no	—
1399	C₂²×D₃	C₂³×D₅	1	1	yes	characteristic
1400	C₃×Q₈	—	4	1	no	—
1401	C₃×D₄	—	20	1	no	—
1402	C₃×D₄	—	20	1	no	—
1403	C₃×D₄	—	20	1	no	—
1404	C₂×C₃×C₄	—	5	1	no	—
1405	C₂×C₃×C₄	—	5	1	no	—
1406	C₂×C₃×C₄	—	5	1	no	—
1407	C₂×C₃×C₄	—	5	1	no	—
1408	C₂×C₃×C₄	—	5	1	no	—
1409	C₂×C₃×C₄	—	10	2	no	—
1410	C₂×C₃×C₄	—	10	2	no	—
1411	C₂×C₃×C₄	—	10	2	no	—
1412	C₂×C₃×C₄	—	20	1	no	—
1413	C₂×C₃×C₄	—	20	1	no	—
1414	C₂×C₃×C₄	C₂³×D₅	1	1	yes	characteristic
1415	C₂×C₃×C₄	C₂³×D₅	1	1	yes	characteristic
1416	C₂×C₃×C₄	C₂³×D₅	1	1	yes	characteristic
1417	C₂×C₃×C₄	C₂³×D₅	1	1	yes	characteristic
1418	C₂×C₃×C₄	C₂³×D₅	1	1	yes	characteristic
1419	C₂×C₃×C₄	C₂³×D₅	1	1	yes	characteristic
1420	C₂×C₃×C₄	C₂³×D₅	1	1	yes	characteristic
1421	#67	—	20	1	no	—
1422	#67	—	20	1	no	—
1423	#67	—	20	1	no	—
1424	#67	—	20	1	no	—
1425	#67	—	20	1	no	—
1426	#67	—	20	1	no	—
1427	C₂×Dic₃	—	5	1	no	—
1428	C₂×Dic₃	—	5	1	no	—
1429	C₂×Dic₃	—	5	1	no	—
1430	C₂×Dic₃	—	5	1	no	—
1431	C₂×Dic₃	—	5	1	no	—
1432	C₂×Dic₃	—	5	1	no	—
1433	C₂×Dic₃	—	5	1	no	—
1434	C₂×Dic₃	—	20	1	no	—
1435	C₂×Dic₃	—	20	1	no	—
1436	C₂×Dic₃	—	20	1	no	—
1437	C₂×Dic₃	—	20	1	no	—
1438	C₂×Dic₃	C₂³×D₅	1	1	yes	characteristic
1439	C₂×Dic₃	C₂³×D₅	1	1	yes	characteristic
1440	C₂×Dic₃	C₂³×D₅	1	1	yes	characteristic
1441	C₂×Dic₃	C₂³×D₅	1	1	yes	characteristic
1442	C₂×Dic₃	C₂³×D₅	1	1	yes	characteristic
1443	C₂×Dic₃	C₂³×D₅	1	1	yes	characteristic
1444	C₂×Dic₃	C₂³×D₅	1	1	yes	characteristic
1445	D₁₂	—	20	1	no	—
1446	C₄×D₃	—	2	2	no	—
1447	C₄×D₃	—	4	1	no	—
1448	C₄×D₃	—	4	1	no	—
1449	C₄×D₃	—	10	2	no	—
1450	C₄×D₃	—	20	1	no	—
1451	C₄×D₃	—	20	1	no	—
1452	Dic₆	—	4	1	no	—
1453	Dic₆	—	4	1	no	—
1454	Dic₆	—	4	1	no	—
1455	Dic₆	—	20	1	no	—
1456	Dic₆	—	20	1	no	—
1457	Dic₆	—	20	1	no	—
1458	Dic₆	—	20	1	no	—
1459	Dic₆	—	20	1	no	—
1460	Dic₆	—	20	1	no	—
1461	C₂²×C₅	—	6	1	no	—
1462	C₂²×C₅	—	6	1	no	—
1463	C₂²×C₅	—	6	1	no	—
1464	C₂²×C₅	C₂⁴×D₃	1	1	yes	characteristic
1465	C₂×D₅	—	2	1	no	—
1466	C₂×D₅	—	2	1	no	—
1467	C₂×D₅	—	2	1	no	—
1468	C₂×D₅	—	2	1	no	—
1469	C₂×D₅	—	2	1	no	—
1470	C₂×D₅	—	2	1	no	—
1471	C₂×D₅	—	2	1	no	—
1472	C₂×D₅	—	2	1	no	—
1473	C₂×D₅	—	2	1	no	—
1474	C₂×D₅	—	6	1	no	—
1475	C₂×D₅	—	6	1	no	—
1476	C₂×D₅	—	6	1	no	—
1477	C₄×C₅	—	2	1	no	—
1478	C₄×C₅	—	2	1	no	—
1479	C₄×C₅	—	2	1	no	—
1480	C₄×C₅	—	2	1	no	—
1481	C₄×C₅	—	2	1	no	—
1482	C₄×C₅	—	2	1	no	—
1483	C₄×C₅	—	6	1	no	—
1484	C₄×C₅	—	6	1	no	—
1485	C₄×C₅	—	6	1	no	—
1486	C₄×C₅	—	6	1	no	—
1487	C₄×C₅	—	6	1	no	—
1488	C₄×C₅	—	6	1	no	—
1489	C₄×C₅	—	6	1	no	—
1490	C₄×C₅	#1010	1	2	yes	—
1491	Dic₅	—	2	1	no	—
1492	Dic₅	—	2	1	no	—
1493	Dic₅	—	2	1	no	—
1494	Dic₅	—	2	1	no	—
1495	Dic₅	—	2	1	no	—
1496	Dic₅	—	6	1	no	—
1497	Dic₅	—	6	1	no	—
1498	Dic₅	—	6	1	no	—
1499	Dic₅	—	6	1	no	—
1500	Dic₅	—	6	1	no	—
1501	Dic₅	—	6	1	no	—
1502	Dic₅	—	6	1	no	—
1503	C₂×Q₈	—	3	1	no	—
1504	C₂×Q₈	—	3	1	no	—
1505	C₂×Q₈	—	3	1	no	—
1506	C₂×Q₈	—	15	1	no	—
1507	C₂×Q₈	—	15	1	no	—
1508	C₂×Q₈	—	15	1	no	—
1509	C₂×Q₈	—	15	1	no	—
1510	C₂×Q₈	—	15	1	no	—
1511	C₂×Q₈	—	15	1	no	—
1512	C₂×Q₈	C₂×D₃×D₅	1	1	yes	characteristic
1513	C₂×D₄	—	5	1	no	—
1514	C₂×D₄	—	5	1	no	—
1515	C₂×D₄	—	5	1	no	—
1516	C₂×D₄	—	15	1	no	—
1517	C₂×D₄	—	15	1	no	—
1518	C₂×D₄	—	15	1	no	—
1519	C₂×D₄	—	15	1	no	—
1520	C₂×D₄	—	15	1	no	—
1521	C₂×D₄	—	15	1	no	—
1522	C₂×D₄	—	15	1	no	—
1523	C₂²×C₄	—	3	1	no	—
1524	C₂²×C₄	—	3	1	no	—
1525	C₂²×C₄	—	3	1	no	—
1526	C₂²×C₄	—	5	1	no	—
1527	C₂²×C₄	—	5	1	no	—
1528	C₂²×C₄	—	5	1	no	—
1529	C₂²×C₄	—	5	1	no	—
1530	C₂²×C₄	—	5	1	no	—
1531	C₂²×C₄	—	15	1	no	—
1532	C₂²×C₄	—	15	1	no	—
1533	C₂²×C₄	—	15	1	no	—
1534	C₂²×C₄	—	15	1	no	—
1535	C₂²×C₄	—	15	1	no	—
1536	C₂²×C₄	—	15	1	no	—
1537	C₂²×C₄	—	15	1	no	—
1538	C₄⋊C₄	—	3	1	no	—
1539	C₄⋊C₄	—	3	1	no	—
1540	C₄⋊C₄	—	3	1	no	—
1541	C₄⋊C₄	—	3	1	no	—
1542	C₄⋊C₄	—	3	1	no	—
1543	C₄⋊C₄	—	3	1	no	—
1544	C₄⋊C₄	—	3	1	no	—
1545	C₄⋊C₄	—	3	1	no	—
1546	C₄⋊C₄	—	3	1	no	—
1547	C₄⋊C₄	—	3	1	no	—
1548	C₄⋊C₄	—	3	1	no	—
1549	C₄⋊C₄	—	3	1	no	—
1550	C₄⋊C₄	—	3	1	no	—
1551	C₄⋊C₄	—	5	1	no	—
1552	C₄⋊C₄	—	5	1	no	—
1553	C₄⋊C₄	—	5	1	no	—
1554	C₄⋊C₄	—	5	1	no	—
1555	C₄⋊C₄	—	5	1	no	—
1556	C₄⋊C₄	—	5	1	no	—
1557	C₄⋊C₄	—	5	1	no	—
1558	C₄⋊C₄	—	15	1	no	—
1559	C₄⋊C₄	—	15	1	no	—
1560	C₄⋊C₄	—	15	1	no	—
1561	C₄⋊C₄	—	15	1	no	—
1562	C₄⋊C₄	—	15	1	no	—
1563	C₄⋊C₄	—	15	1	no	—
1564	C₄⋊C₄	—	15	1	no	—
1565	C₄⋊C₄	—	15	1	no	—
1566	C₄⋊C₄	—	15	1	no	—
1567	C₄⋊C₄	—	15	1	no	—
1568	C₄⋊C₄	—	15	1	no	—
1569	C₄⋊C₄	—	15	1	no	—
1570	C₄⋊C₄	—	15	1	no	—
1571	C₄⋊C₄	—	15	1	no	—
1572	C₄⋊C₄	—	15	1	no	—
1573	C₄⋊C₄	—	15	1	no	—
1574	C₄⋊C₄	—	15	1	no	—
1575	C₄⋊C₄	—	15	1	no	—
1576	C₄⋊C₄	—	15	1	no	—
1577	C₄⋊C₄	—	15	1	no	—
1578	C₄⋊C₄	—	15	1	no	—
1579	C₄⋊C₄	—	15	1	no	—
1580	C₄⋊C₄	—	15	1	no	—
1581	C₄⋊C₄	—	15	1	no	—
1582	C₄⋊C₄	—	15	1	no	—
1583	C₄⋊C₄	—	15	1	no	—
1584	C₄⋊C₄	—	15	1	no	—
1585	C₄⋊C₄	—	15	1	no	—
1586	C₄⋊C₄	—	15	1	no	—
1587	C₄⋊C₄	—	15	1	no	—
1588	C₄⋊C₄	—	15	1	no	—
1589	C₄⋊C₄	—	15	1	no	—
1590	C₄⋊C₄	—	15	1	no	—
1591	C₄⋊C₄	—	15	1	no	—
1592	C₄⋊C₄	—	15	1	no	—
1593	C₄⋊C₄	—	15	1	no	—
1594	C₄⋊C₄	—	15	1	no	—
1595	C₄⋊C₄	C₂×D₃×D₅	1	1	yes	characteristic
1596	C₄⋊C₄	C₂×D₃×D₅	1	1	yes	characteristic
1597	C₄⋊C₄	C₂×D₃×D₅	1	1	yes	characteristic
1598	C₂²⋊C₄	—	3	1	no	—
1599	C₂²⋊C₄	—	3	1	no	—
1600	C₂²⋊C₄	—	3	1	no	—
1601	C₂²⋊C₄	—	3	1	no	—
1602	C₂²⋊C₄	—	5	1	no	—
1603	C₂²⋊C₄	—	5	1	no	—
1604	C₂²⋊C₄	—	5	1	no	—
1605	C₂²⋊C₄	—	5	1	no	—
1606	C₂²⋊C₄	—	5	1	no	—
1607	C₂²⋊C₄	—	5	1	no	—
1608	C₂²⋊C₄	—	5	1	no	—
1609	C₂²⋊C₄	—	5	1	no	—
1610	C₂²⋊C₄	—	5	1	no	—
1611	C₂²⋊C₄	—	5	1	no	—
1612	C₂²⋊C₄	—	15	1	no	—
1613	C₂²⋊C₄	—	15	1	no	—
1614	C₂²⋊C₄	—	15	1	no	—
1615	C₂²⋊C₄	—	15	1	no	—
1616	C₂²⋊C₄	—	15	1	no	—
1617	C₂²⋊C₄	—	15	1	no	—
1618	C₂²⋊C₄	—	15	1	no	—
1619	C₂²⋊C₄	—	15	1	no	—
1620	C₂²⋊C₄	—	15	1	no	—
1621	C₂²⋊C₄	—	15	1	no	—
1622	C₂²⋊C₄	—	15	1	no	—
1623	C₂²⋊C₄	—	15	1	no	—
1624	C₂²⋊C₄	—	15	1	no	—
1625	C₂²⋊C₄	—	15	1	no	—
1626	C₂²⋊C₄	—	15	1	no	—
1627	C₂²⋊C₄	—	15	1	no	—
1628	C₂²⋊C₄	—	15	1	no	—
1629	C₂²⋊C₄	—	15	1	no	—
1630	C₂²⋊C₄	—	15	1	no	—
1631	C₂²⋊C₄	—	15	1	no	—
1632	C₂²⋊C₄	—	15	1	no	—
1633	C₂²⋊C₄	—	15	1	no	—
1634	C₂²⋊C₄	—	15	1	no	—
1635	C₂²⋊C₄	—	15	1	no	—
1636	C₂²⋊C₄	—	15	1	no	—
1637	C₂²⋊C₄	—	15	1	no	—
1638	C₄²	—	3	1	no	—
1639	C₄²	—	3	1	no	—
1640	C₄²	—	3	1	no	—
1641	C₄²	—	3	1	no	—
1642	C₄²	—	3	1	no	—
1643	C₄²	—	5	1	no	—
1644	C₄²	—	5	1	no	—
1645	C₄²	—	5	1	no	—
1646	C₄²	—	15	1	no	—
1647	C₄²	—	15	1	no	—
1648	C₄²	—	15	1	no	—
1649	C₄²	—	15	1	no	—
1650	C₄²	—	15	1	no	—
1651	C₄²	—	15	1	no	—
1652	C₄²	—	15	1	no	—
1653	C₄²	—	15	1	no	—
1654	C₄²	—	15	1	no	—
1655	C₄²	C₂×D₃×D₅	1	1	yes	characteristic
1656	C₄²	C₂×D₃×D₅	1	1	yes	characteristic
1657	C₄²	C₂×D₃×D₅	1	1	yes	characteristic
1658	C₃×C₅	#3531	1	1	yes	characteristic, complemented, Hall
1659	C₂²×C₃	—	10	1	no	—
1660	C₂²×C₃	—	10	1	no	—
1661	C₂²×C₃	—	10	1	no	—
1662	C₂²×C₃	—	10	1	no	—
1663	C₂²×C₃	—	10	1	no	—
1664	C₂²×C₃	—	10	1	no	—
1665	C₂²×C₃	—	10	1	no	—
1666	C₂²×C₃	—	10	1	no	—
1667	C₂²×C₃	—	10	1	no	—
1668	C₂²×C₃	C₂⁴×D₅	1	1	yes	characteristic
1669	C₂×D₃	—	2	1	no	—
1670	C₂×D₃	—	2	1	no	—
1671	C₂×D₃	—	2	1	no	—
1672	C₂×D₃	—	10	1	no	—
1673	C₂×D₃	—	10	1	no	—
1674	C₂×D₃	—	10	1	no	—
1675	C₃×C₄	—	2	1	no	—
1676	C₃×C₄	—	2	1	no	—
1677	C₃×C₄	—	2	1	no	—
1678	C₃×C₄	—	2	1	no	—
1679	C₃×C₄	—	2	1	no	—
1680	C₃×C₄	—	2	1	no	—
1681	C₃×C₄	—	10	1	no	—
1682	C₃×C₄	—	10	1	no	—
1683	C₃×C₄	—	10	1	no	—
1684	C₃×C₄	—	10	1	no	—
1685	C₃×C₄	—	10	1	no	—
1686	C₃×C₄	#4147	1	2	yes	—
1687	Dic₃	—	2	1	no	—
1688	Dic₃	—	2	1	no	—
1689	Dic₃	—	2	1	no	—
1690	Dic₃	—	2	1	no	—
1691	Dic₃	—	2	1	no	—
1692	Dic₃	—	2	1	no	—
1693	Dic₃	—	2	1	no	—
1694	Dic₃	—	10	1	no	—
1695	Dic₃	—	10	1	no	—
1696	Dic₃	—	10	1	no	—
1697	Dic₃	—	10	1	no	—
1698	Dic₃	—	10	1	no	—
1699	Dic₃	—	10	1	no	—
1700	Dic₃	—	10	1	no	—
1701	C₂×C₅	—	12	1	no	—
1702	C₂×C₅	C₂×#1010	1	1	yes	characteristic
1703	C₂×C₅	#5964	1	1	yes	characteristic
1704	C₂×C₅	#5964	1	1	yes	characteristic
1705	D₅	—	4	1	no	—
1706	D₅	—	4	1	no	—
1707	D₅	—	4	1	no	—
1708	D₅	—	12	1	no	—
1709	C₂³	—	3	1	no	—
1710	C₂³	—	5	1	no	—
1711	C₂³	—	5	1	no	—
1712	C₂³	—	5	1	no	—
1713	C₂³	—	15	1	no	—
1714	Q₈	—	4	1	no	—
1715	Q₈	—	12	1	no	—
1716	Q₈	—	12	1	no	—
1717	Q₈	—	12	1	no	—
1718	Q₈	—	60	1	no	—
1719	Q₈	—	60	1	no	—
1720	Q₈	—	60	1	no	—
1721	Q₈	—	60	1	no	—
1722	Q₈	—	60	1	no	—
1723	Q₈	—	60	1	no	—
1724	D₄	—	20	1	no	—
1725	D₄	—	20	1	no	—
1726	D₄	—	20	1	no	—
1727	D₄	—	60	1	no	—
1728	D₄	—	60	1	no	—
1729	D₄	—	60	1	no	—
1730	D₄	—	60	1	no	—
1731	D₄	—	60	1	no	—
1732	D₄	—	60	1	no	—
1733	D₄	—	60	1	no	—
1734	C₂×C₄	—	3	1	no	—
1735	C₂×C₄	—	3	1	no	—
1736	C₂×C₄	—	3	1	no	—
1737	C₂×C₄	—	3	1	no	—
1738	C₂×C₄	—	3	1	no	—
1739	C₂×C₄	—	3	1	no	—
1740	C₂×C₄	—	3	1	no	—
1741	C₂×C₄	—	5	1	no	—
1742	C₂×C₄	—	5	1	no	—
1743	C₂×C₄	—	5	1	no	—
1744	C₂×C₄	—	5	1	no	—
1745	C₂×C₄	—	5	1	no	—
1746	C₂×C₄	—	6	2	no	—
1747	C₂×C₄	—	10	2	no	—
1748	C₂×C₄	—	10	2	no	—
1749	C₂×C₄	—	10	2	no	—
1750	C₂×C₄	—	12	1	no	—
1751	C₂×C₄	—	12	1	no	—
1752	C₂×C₄	—	15	1	no	—
1753	C₂×C₄	—	15	1	no	—
1754	C₂×C₄	—	15	1	no	—
1755	C₂×C₄	—	15	1	no	—
1756	C₂×C₄	—	15	1	no	—
1757	C₂×C₄	—	15	1	no	—
1758	C₂×C₄	—	15	1	no	—
1759	C₂×C₄	—	20	1	no	—
1760	C₂×C₄	—	20	1	no	—
1761	C₂×C₄	—	30	2	no	—
1762	C₂×C₄	—	60	1	no	—
1763	C₂×C₄	—	60	1	no	—
1764	C₂×C₄	—	60	1	no	—
1765	C₂×C₄	—	60	1	no	—
1766	C₂×C₄	—	60	1	no	—
1767	C₂×C₄	—	60	1	no	—
1768	C₂×C₄	C₂²×D₃×D₅	1	1	yes	characteristic
1769	C₂×C₄	C₂²×D₃×D₅	1	1	yes	characteristic
1770	C₂×C₄	C₂²×D₃×D₅	1	1	yes	characteristic
1771	C₂×C₄	C₂²×D₃×D₅	1	1	yes	characteristic
1772	C₂×C₄	C₂²×D₃×D₅	1	1	yes	characteristic
1773	C₂×C₄	C₂²×D₃×D₅	1	1	yes	characteristic
1774	C₂×C₄	C₂²×D₃×D₅	1	1	yes	characteristic
1775	C₂×C₃	—	20	1	no	—
1776	C₂×C₃	—	20	1	no	—
1777	C₂×C₃	—	20	1	no	—
1778	C₂×C₃	C₂×#4147	1	1	yes	characteristic
1779	C₂×C₃	#66283	1	1	yes	characteristic
1780	C₂×C₃	#66283	1	1	yes	characteristic
1781	D₃	—	4	1	no	—
1782	D₃	—	20	1	no	—
1783	C₅	#86132	1	1	yes	characteristic, complemented, Sylow
1784	C₂²	—	6	1	no	—
1785	C₂²	—	6	1	no	—
1786	C₂²	—	6	1	no	—
1787	C₂²	—	10	1	no	—
1788	C₂²	—	10	1	no	—
1789	C₂²	—	10	1	no	—
1790	C₂²	—	10	1	no	—
1791	C₂²	—	10	1	no	—
1792	C₂²	—	10	1	no	—
1793	C₂²	—	10	1	no	—
1794	C₂²	—	10	1	no	—
1795	C₂²	—	10	1	no	—
1796	C₂²	—	30	1	no	—
1797	C₂²	—	30	1	no	—
1798	C₂²	—	30	1	no	—
1799	C₂²	C₂³×D₃×D₅	1	1	yes	characteristic
1800	C₄	—	2	1	no	—
1801	C₄	—	2	1	no	—
1802	C₄	—	2	1	no	—
1803	C₄	—	2	1	no	—
1804	C₄	—	2	1	no	—
1805	C₄	—	2	1	no	—
1806	C₄	—	6	1	no	—
1807	C₄	—	6	1	no	—
1808	C₄	—	6	1	no	—
1809	C₄	—	6	1	no	—
1810	C₄	—	6	1	no	—
1811	C₄	—	6	1	no	—
1812	C₄	—	6	1	no	—
1813	C₄	—	10	1	no	—
1814	C₄	—	10	1	no	—
1815	C₄	—	10	1	no	—
1816	C₄	—	10	1	no	—
1817	C₄	—	10	1	no	—
1818	C₄	—	30	1	no	—
1819	C₄	—	30	1	no	—
1820	C₄	—	30	1	no	—
1821	C₄	—	30	1	no	—
1822	C₄	—	30	1	no	—
1823	C₄	—	30	1	no	—
1824	C₄	—	30	1	no	—
1825	C₄	#92028	1	2	yes	—
1826	C₃	#10618187	1	1	yes	characteristic, complemented, Sylow
1827	C₂	—	12	1	no	—
1828	C₂	—	20	1	no	—
1829	C₂	—	20	1	no	—
1830	C₂	—	20	1	no	—
1831	C₂	—	60	1	no	—
1832	C₂	#11757022	1	1	yes	characteristic
1833	C₂	C₂×#92028	1	1	yes	characteristic
1834	C₂	#11757058	1	1	yes	characteristic

	subgroup	G/H
center	C₂×C₄	C₂²×D₃×D₅
commutator, socle, cosocle	C₂²×C₃×C₅	C₂⁵
Frattini	C₂²	C₂³×D₃×D₅
Fitting	C₃×C₄×C₅×Q₈	C₂²
hypercenter	C₄×Q₈	D₃×D₅
hypocenter	C₃×C₅	#3531
LCS	G ▷ C₂²×C₃×C₅ ▷ C₃×C₅
UCS	C₁ ◁ C₂×C₄ ◁ C₄×Q₈

Complements

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

N	H ≅ G/N	type
1. #11756337	C₂	semidirect
2. C₅×#5578	C₂	semidirect
3. C₃×#65914	C₂	semidirect
4. #11755261	C₂	semidirect
5. #11755259	C₂	semidirect
6. #11755215	C₂	semidirect
7. #11755135	C₂	semidirect
8. #11753824	C₂	semidirect
9. #11753817	C₂	semidirect
10. #11753657	C₂	semidirect
11. #11753656	C₂	semidirect
12. #11753653	C₂	semidirect
13. #11753652	C₂	semidirect
14. #11753645	C₂	semidirect
15. #11753642	C₂	semidirect
16. #11753641	C₂	semidirect
17. #11753639	C₂	semidirect
18. #11753638	C₂	semidirect
19. #11753395	C₂	semidirect
20. #11752703	C₂	semidirect
21. #11752695	C₂	semidirect
22. #11752693	C₂	semidirect
23. #11752681	C₂	semidirect
24. #11752596	C₂	semidirect
25. #11752596	C₂	semidirect
26. #11752564	C₂	semidirect
27. #11752564	C₂	semidirect
28. #11752563	C₂	semidirect
29. #11752563	C₂	semidirect
30. #11752501	C₂	semidirect
31. #11752497	C₂	semidirect
209. #65914	D₃	semidirect
393. #5578	D₅	semidirect
1658. C₃×C₅	#3531	semidirect
1783. C₅	#86132	semidirect
1826. C₃	#10618187	semidirect

Maximal subgroups

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

subgroup	index
#11756337	2
C₅×#5578	2
C₃×#65914	2
#11755261	2
#11755259	2
#11755215	2
#11755135	2
#11753824	2
#11753817	2
#11753657	2
#11753656	2
#11753653	2
#11753652	2
#11753645	2
#11753642	2
#11753641	2
#11753639	2
#11753638	2
#11753395	2
#11752703	2
#11752695	2
#11752693	2
#11752681	2
#11752596	2
#11752564	2
#11752563	2
#11752501	2
#11752497	2
#10618187	3
#86132	5