Subgroups — #12992901

Order 1280.

1772 conjugacy classes of subgroups.

The subgroup lattice has 1708 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#10618654	C₂	1	1	yes	maximal, characteristic, complemented
2	#10618632	C₂	1	1	yes	maximal, characteristic
3	C₅×#3270	C₂	1	1	yes	maximal, characteristic, complemented
4	#10615718	C₂	1	1	yes	maximal, characteristic, complemented
5	#10615701	C₂	1	1	yes	maximal, characteristic, complemented
6	Q₁₆×C₂²⋊D₅	C₂	1	1	yes	maximal, characteristic, complemented
7	#10615608	C₂	1	1	yes	maximal, characteristic, complemented
8	#10615296	C₂	1	1	yes	maximal, characteristic, complemented
9	#10615268	C₂	1	1	yes	maximal, characteristic, complemented
10	#10613605	C₂	1	1	yes	maximal, characteristic, complemented
11	#10613595	C₂	1	1	yes	maximal, characteristic, complemented
12	#10612646	C₂	1	1	yes	maximal, characteristic, complemented
13	#10612628	C₂	1	1	yes	maximal, characteristic, complemented
14	#10612402	C₂	1	1	yes	maximal, characteristic, complemented
15	#10612376	C₂	1	1	yes	maximal, characteristic, complemented
16	D₅×#464	C₂	1	1	yes	maximal, characteristic, complemented
17	#10612318	C₂	1	1	yes	maximal, characteristic, complemented
18	#10612217	C₂	1	1	yes	maximal, characteristic, complemented
19	#10612200	C₂	1	1	yes	maximal, characteristic, complemented
20	#10612002	C₂	1	1	yes	maximal, characteristic, complemented
21	#10611977	C₂	1	1	yes	maximal, characteristic, complemented
22	#10611942	C₂	1	1	yes	maximal, characteristic, complemented
23	#10611927	C₂	1	1	yes	maximal, characteristic, complemented
24	#10611911	C₂	1	1	yes	maximal, characteristic, complemented
25	#10611907	C₂	1	1	yes	maximal, characteristic, complemented
26	#10611792	C₂	1	1	yes	maximal, characteristic, complemented
27	#10611763	C₂	1	1	yes	maximal, characteristic, complemented
28	#10611564	C₂	1	1	yes	maximal, characteristic, complemented
29	#10611549	C₂	1	1	yes	maximal, characteristic, complemented
30	#10611243	C₂	1	1	yes	maximal, characteristic, complemented
31	#10611195	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂×C₅×#137	C₂²	1	1	yes	characteristic
33	C₂²×C₅×Q₁₆	C₂²	1	1	yes	characteristic, complemented
34	C₅×D₄×Q₈	C₂²	1	1	yes	characteristic, complemented
35	C₅×#548	C₂²	1	1	yes	characteristic
36	#66163	C₂²	1	1	yes	characteristic
37	#66159	C₂²	1	1	yes	characteristic
38	#66150	C₂²	1	1	yes	characteristic
39	Q₈×C₂²⋊D₅	C₂²	1	1	yes	characteristic
40	Q₈×C₂²⋊D₅	C₂²	1	1	yes	characteristic
41	Q₈×C₂²⋊D₅	C₂²	1	1	yes	characteristic
42	#66146	C₂²	1	1	yes	characteristic, complemented
43	#66146	C₂²	1	1	yes	characteristic, complemented
44	C₂²×#689	C₂²	1	1	yes	characteristic, complemented
45	C₂×#4088	C₂²	1	1	yes	characteristic
46	C₂×D₅×Q₁₆	C₂²	1	1	yes	characteristic
47	C₂×D₅×SD₁₆	C₂²	1	1	yes	characteristic
48	#66062	—	2	1	no	—
49	#66062	C₂²	1	1	yes	characteristic
50	#66055	—	2	1	no	—
51	#66055	C₂²	1	1	yes	characteristic, complemented
52	#66013	—	2	1	no	—
53	D₅×#124	C₂²	1	1	yes	characteristic
54	#66005	C₂²	1	1	yes	characteristic
55	#66003	—	2	1	no	—
56	#65980	—	2	1	no	—
57	#65977	C₂²	1	1	yes	characteristic
58	#65973	—	2	1	no	—
59	#65973	—	2	1	no	—
60	#65973	C₂²	1	1	yes	characteristic
61	#65973	C₂²	1	1	yes	characteristic
62	#65968	—	2	1	no	—
63	#65966	C₂²	1	1	yes	characteristic
64	#65959	—	2	1	no	—
65	#65959	—	2	1	no	—
66	#65959	C₂²	1	1	yes	characteristic, complemented
67	#65959	C₂²	1	1	yes	characteristic, complemented
68	#65955	—	2	1	no	—
69	#65947	—	2	1	no	—
70	#65946	C₂²	1	1	yes	characteristic
71	#65937	C₂²	1	1	yes	characteristic
72	#65912	C₂²	1	1	yes	characteristic
73	C₄×Q₈×D₅	C₂²	1	1	yes	characteristic
74	#65904	C₂²	1	1	yes	characteristic, complemented
75	#65902	C₂²	1	1	yes	characteristic
76	#65895	—	2	1	no	—
77	#65891	—	2	1	no	—
78	#65891	C₂²	1	1	yes	characteristic
79	#65890	—	2	1	no	—
80	#65886	C₂²	1	1	yes	characteristic
81	#65876	—	2	1	no	—
82	#65876	C₂²	1	1	yes	characteristic, complemented
83	C₅×#497	C₂²	1	1	yes	characteristic
84	C₅×#470	C₂²	1	1	yes	characteristic, complemented
85	C₅×#465	C₂²	1	1	yes	characteristic
86	C₅×#464	C₂²	1	1	yes	characteristic
87	C₅×#462	C₂²	1	1	yes	characteristic, complemented
88	C₅×#452	C₂²	1	1	yes	characteristic
89	C₅×#451	C₂²	1	1	yes	characteristic, complemented
90	C₅×#451	C₂²	1	1	yes	characteristic, complemented
91	C₅×#448	C₂²	1	1	yes	characteristic
92	C₅×#441	C₂²	1	1	yes	characteristic, complemented
93	C₅×#435	C₂²	1	1	yes	characteristic, complemented
94	#65528	C₂²	1	1	yes	characteristic
95	#65522	C₂²	1	1	yes	characteristic
96	#65517	C₂²	1	1	yes	characteristic, complemented
97	#65517	C₂²	1	1	yes	characteristic, complemented
98	#65516	C₂²	1	1	yes	characteristic
99	#65514	C₂²	1	1	yes	characteristic, complemented
100	#65479	C₂²	1	1	yes	characteristic
101	#65477	C₂²	1	1	yes	characteristic
102	#65477	C₂²	1	1	yes	characteristic
103	#65475	C₂²	1	1	yes	characteristic
104	#65475	C₂²	1	1	yes	characteristic
105	#65475	C₂²	1	1	yes	characteristic
106	#65474	C₂²	1	1	yes	characteristic
107	#65474	C₂²	1	1	yes	characteristic
108	#65474	C₂²	1	1	yes	characteristic
109	#65474	C₂²	1	1	yes	characteristic
110	#65474	C₂²	1	1	yes	characteristic
111	#65473	C₂²	1	1	yes	characteristic, complemented
112	Q₁₆×Dic₅	C₂²	1	1	yes	characteristic, complemented
113	#65471	C₂²	1	1	yes	characteristic, complemented
114	#65471	C₂²	1	1	yes	characteristic, complemented
115	#65471	C₂²	1	1	yes	characteristic, complemented
116	#65471	C₂²	1	1	yes	characteristic, complemented
117	#65471	C₂²	1	1	yes	characteristic, complemented
118	#65471	C₂²	1	1	yes	characteristic, complemented
119	#65471	C₂²	1	1	yes	characteristic, complemented
120	#65471	C₂²	1	1	yes	characteristic, complemented
121	#65470	C₂²	1	1	yes	characteristic, complemented
122	#65470	C₂²	1	1	yes	characteristic, complemented
123	#65458	C₂²	1	1	yes	characteristic
124	#65458	C₂²	1	1	yes	characteristic
125	#65456	C₂²	1	1	yes	characteristic
126	#65455	C₂²	1	1	yes	characteristic
127	#65455	C₂²	1	1	yes	characteristic
128	#65455	C₂²	1	1	yes	characteristic
129	#65455	C₂²	1	1	yes	characteristic
130	#65455	C₂²	1	1	yes	characteristic
131	#65453	C₂²	1	1	yes	characteristic
132	#65451	C₂²	1	1	yes	characteristic
133	SD₁₆×Dic₅	C₂²	1	1	yes	characteristic
134	#65423	C₂²	1	1	yes	characteristic
135	#65416	C₂²	1	1	yes	characteristic
136	#65409	C₂²	1	1	yes	characteristic, complemented
137	#65408	C₂²	1	1	yes	characteristic, complemented
138	#65405	C₂²	1	1	yes	characteristic, complemented
139	#65402	C₂²	1	1	yes	characteristic
140	C₈×C₂²⋊D₅	C₂²	1	1	yes	characteristic
141	#65391	C₂²	1	1	yes	characteristic, complemented
142	#65379	C₂²	1	1	yes	characteristic, complemented
143	#65375	C₂²	1	1	yes	characteristic
144	#65344	C₂²	1	1	yes	characteristic
145	#65343	C₂²	1	1	yes	characteristic
146	#65341	C₂²	1	1	yes	characteristic, complemented
147	#65340	C₂²	1	1	yes	characteristic, complemented
148	#65339	C₂²	1	1	yes	characteristic, complemented
149	#65337	C₂²	1	1	yes	characteristic
150	#65336	C₂²	1	1	yes	characteristic
151	#65334	C₂²	1	1	yes	characteristic, complemented
152	#65331	C₂²	1	1	yes	characteristic
153	#65324	C₂²	1	1	yes	characteristic
154	#65319	C₂²	1	1	yes	characteristic, complemented
155	#65319	C₂²	1	1	yes	characteristic, complemented
156	#65317	C₂²	1	1	yes	characteristic
157	#65310	C₂²	1	1	yes	characteristic, complemented
158	#65300	C₂²	1	1	yes	characteristic, complemented
159	#65160	C₂²	1	1	yes	characteristic
160	#65151	C₂²	1	1	yes	characteristic
161	#65146	C₂²	1	1	yes	characteristic, complemented
162	#65143	C₂²	1	1	yes	characteristic, complemented
163	#65139	C₂²	1	1	yes	characteristic, complemented
164	#65134	C₂²	1	1	yes	characteristic
165	D₅×C₄⋊C₈	C₂²	1	1	yes	characteristic
166	#65117	C₂²	1	1	yes	characteristic, complemented
167	#65107	C₂²	1	1	yes	characteristic
168	#65106	C₂²	1	1	yes	characteristic
169	#65102	C₂²	1	1	yes	characteristic
170	#65102	C₂²	1	1	yes	characteristic
171	#65097	C₂²	1	1	yes	characteristic
172	#65094	C₂²	1	1	yes	characteristic
173	D₅×#103	C₂²	1	1	yes	characteristic
174	#65089	C₂²	1	1	yes	characteristic
175	#65087	C₂²	1	1	yes	characteristic
176	#65086	C₂²	1	1	yes	characteristic, complemented
177	#65086	C₂²	1	1	yes	characteristic, complemented
178	#65085	C₂²	1	1	yes	characteristic, complemented
179	#65083	C₂²	1	1	yes	characteristic, complemented
180	#65083	C₂²	1	1	yes	characteristic, complemented
181	#65082	C₂²	1	1	yes	characteristic, complemented
182	#65082	C₂²	1	1	yes	characteristic, complemented
183	#65080	C₂²	1	1	yes	characteristic, complemented
184	#65079	C₂²	1	1	yes	characteristic, complemented
185	#65078	C₂²	1	1	yes	characteristic, complemented
186	#65077	C₂²	1	1	yes	characteristic
187	D₅×#102	C₂²	1	1	yes	characteristic
188	#65057	C₂²	1	1	yes	characteristic
189	#65056	C₂²	1	1	yes	characteristic
190	#65055	C₂²	1	1	yes	characteristic
191	#65028	C₂²	1	1	yes	characteristic, complemented
192	#65026	C₂²	1	1	yes	characteristic
193	#65022	C₂²	1	1	yes	characteristic
194	#65017	C₂²	1	1	yes	characteristic
195	#65014	C₂²	1	1	yes	characteristic
196	#65012	C₂²	1	1	yes	characteristic, complemented
197	#65009	C₂²	1	1	yes	characteristic, complemented
198	#65009	C₂²	1	1	yes	characteristic, complemented
199	#65005	C₂²	1	1	yes	characteristic, complemented
200	#65003	C₂²	1	1	yes	characteristic
201	#64994	C₂²	1	1	yes	characteristic
202	#64990	C₂²	1	1	yes	characteristic, complemented
203	#62020	—	5	1	no	maximal, Sylow
204	C₂×C₅×#41	C₂³	1	1	yes	characteristic
205	C₂²×C₅×Q₈	C₂³	1	1	yes	characteristic
206	C₂²×C₅×Q₈	C₂³	1	1	yes	characteristic
207	C₂²×C₅×Q₈	C₂³	1	1	yes	characteristic
208	C₂×Q₈×D₅	C₂³	1	1	yes	characteristic
209	C₂×Q₈×D₅	C₂³	1	1	yes	characteristic
210	C₂×D₄×D₅	C₂³	1	1	yes	characteristic
211	C₂×#709	C₂³	1	1	yes	characteristic
212	C₂²×Dic₁₀	C₂³	1	1	yes	characteristic
213	C₅×#137	—	4	2	no	—
214	C₂×C₅×Q₁₆	—	4	2	no	—
215	C₂×C₅×Q₁₆	C₂³	1	1	yes	characteristic
216	C₂×C₅×Q₁₆	C₂³	1	1	yes	characteristic
217	C₂×C₅×Q₁₆	C₂³	1	1	yes	characteristic
218	C₂×C₅×Q₁₆	C₂³	1	1	yes	characteristic
219	C₂×C₅×Q₁₆	C₂³	1	1	yes	characteristic
220	C₂×C₅×Q₁₆	C₂³	1	1	yes	characteristic
221	C₂×C₅×SD₁₆	C₂³	1	1	yes	characteristic
222	C₂×C₅×SD₁₆	C₂³	1	1	yes	characteristic
223	C₂×C₅×SD₁₆	C₂³	1	1	yes	characteristic
224	C₂×C₅×M₁₆	C₂³	1	1	yes	characteristic
225	C₂²×C₅×C₈	C₂³	1	1	yes	characteristic
226	C₅×C₄⋊Q₈	—	2	1	no	—
227	C₅×C₄⋊Q₈	C₂³	1	1	yes	characteristic
228	C₅×#124	—	2	1	no	—
229	C₅×#124	C₂³	1	1	yes	characteristic
230	C₅×C₂²⋊Q₈	—	2	1	no	—
231	C₅×C₂²⋊Q₈	—	2	1	no	—
232	C₅×C₂²⋊Q₈	—	2	1	no	—
233	C₅×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
234	C₅×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
235	C₅×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
236	C₅×#121	—	2	1	no	—
237	C₅×#121	C₂³	1	1	yes	characteristic
238	C₄×C₅×Q₈	C₂³	1	1	yes	characteristic
239	C₄×C₅×Q₈	C₂³	1	1	yes	characteristic
240	C₄×C₅×D₄	—	2	1	no	—
241	C₄×C₅×D₄	—	2	1	no	—
242	C₄×C₅×D₄	C₂³	1	1	yes	characteristic
243	#4093	C₂³	1	1	yes	characteristic
244	#4093	C₂³	1	1	yes	characteristic
245	#4092	—	2	1	no	—
246	#4092	—	2	1	no	—
247	#4092	—	2	1	no	—
248	#4092	—	2	1	no	—
249	#4092	—	2	1	no	—
250	#4092	C₂³	1	1	yes	characteristic
251	#4092	C₂³	1	1	yes	characteristic
252	#4092	C₂³	1	1	yes	characteristic
253	Q₈×Dic₅	—	2	1	no	—
254	Q₈×Dic₅	—	2	1	no	—
255	Q₈×Dic₅	—	2	1	no	—
256	Q₈×Dic₅	—	2	1	no	—
257	Q₈×Dic₅	C₂³	1	1	yes	characteristic
258	Q₈×Dic₅	C₂³	1	1	yes	characteristic
259	Q₈×Dic₅	C₂³	1	1	yes	characteristic
260	Q₈×Dic₅	C₂³	1	1	yes	characteristic
261	Q₈×Dic₅	C₂³	1	1	yes	characteristic
262	Q₈×Dic₅	C₂³	1	1	yes	characteristic
263	Q₈×Dic₅	C₂³	1	1	yes	characteristic
264	Q₈×Dic₅	C₂³	1	1	yes	characteristic
265	#4090	—	2	1	no	—
266	#4090	—	2	1	no	—
267	#4090	—	2	1	no	—
268	#4090	C₂³	1	1	yes	characteristic
269	#4090	C₂³	1	1	yes	characteristic
270	#4090	C₂³	1	1	yes	characteristic
271	#4090	C₂³	1	1	yes	characteristic
272	#4090	C₂³	1	1	yes	characteristic
273	C₂×#689	—	4	2	no	—
274	C₂×#689	C₂³	1	1	yes	characteristic
275	C₂×#689	C₂³	1	1	yes	characteristic
276	C₂×#689	C₂³	1	1	yes	characteristic
277	C₂×#689	C₂³	1	1	yes	characteristic
278	C₂×#689	C₂³	1	1	yes	characteristic
279	C₂×#689	C₂³	1	1	yes	characteristic
280	C₂×#689	C₂³	1	1	yes	characteristic
281	C₂×#689	C₂³	1	1	yes	characteristic
282	#4088	—	4	2	no	—
283	C₂×#688	C₂³	1	1	yes	characteristic
284	C₂×#688	C₂³	1	1	yes	characteristic
285	C₂×#688	C₂³	1	1	yes	characteristic
286	#4085	—	2	1	no	—
287	#4085	—	2	1	no	—
288	#4084	—	2	1	no	—
289	#4084	D₄	1	1	yes	characteristic
290	#4083	—	2	1	no	—
291	#4083	—	2	1	no	—
292	#4082	—	2	1	no	—
293	#4082	—	2	1	no	—
294	#4082	D₄	1	1	yes	characteristic
295	#4082	C₂³	1	1	yes	characteristic
296	#4082	C₂³	1	1	yes	characteristic
297	#4081	—	2	1	no	—
298	#4081	—	2	1	no	—
299	#4081	—	2	1	no	—
300	D₄×Dic₅	C₂³	1	1	yes	characteristic
301	C₂×#687	C₂³	1	1	yes	characteristic
302	#4076	C₂³	1	1	yes	characteristic
303	#4075	—	2	1	no	—
304	#4075	—	2	1	no	—
305	#4075	—	2	1	no	—
306	C₄×C₂²⋊D₅	—	2	1	no	—
307	C₄×C₂²⋊D₅	—	2	1	no	—
308	C₄×C₂²⋊D₅	—	2	1	no	—
309	C₄×C₂²⋊D₅	C₂³	1	1	yes	characteristic
310	C₄×C₂²⋊D₅	C₂³	1	1	yes	characteristic
311	C₂×#685	—	2	1	no	—
312	#4072	—	2	1	no	—
313	#4072	—	2	1	no	—
314	#4072	—	2	1	no	—
315	#4072	—	2	1	no	—
316	#4072	C₂³	1	1	yes	characteristic
317	#4072	C₂³	1	1	yes	characteristic
318	#4072	C₂³	1	1	yes	characteristic
319	#4072	C₂³	1	1	yes	characteristic
320	#4070	—	2	1	no	—
321	#4070	—	2	1	no	—
322	#4070	—	2	1	no	—
323	#4070	—	2	1	no	—
324	#4070	—	2	1	no	—
325	#4070	C₂³	1	1	yes	characteristic
326	#4070	C₂³	1	1	yes	characteristic
327	#4070	C₂³	1	1	yes	characteristic
328	C₂×#681	C₂³	1	1	yes	characteristic
329	C₂²×#168	C₂³	1	1	yes	characteristic
330	D₅×Q₁₆	—	4	2	no	—
331	D₅×SD₁₆	—	4	2	no	—
332	C₂×Dic₂₀	C₂³	1	1	yes	characteristic
333	C₂×Dic₂₀	C₂³	1	1	yes	characteristic
334	C₂×#677	C₂³	1	1	yes	characteristic
335	C₂×C₈×D₅	C₂³	1	1	yes	characteristic
336	C₂×C₈×D₅	C₂³	1	1	yes	characteristic
337	#4044	—	2	1	no	—
338	#4044	—	2	1	no	—
339	#4043	—	2	1	no	—
340	#4043	—	2	1	no	—
341	#4043	D₄	1	1	yes	characteristic
342	#4043	C₂³	1	1	yes	characteristic
343	#4042	—	2	1	no	—
344	#4042	—	2	1	no	—
345	#4042	—	2	1	no	—
346	#4042	—	2	1	no	—
347	#4039	C₂³	1	1	yes	characteristic
348	#4038	—	2	1	no	—
349	#4038	—	2	1	no	—
350	#4038	—	2	1	no	—
351	D₅×C₄⋊C₄	—	2	1	no	—
352	D₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
353	#4036	—	2	1	no	—
354	#4036	—	2	1	no	—
355	#4036	—	2	1	no	—
356	#4036	—	2	1	no	—
357	#4036	—	2	1	no	—
358	#4036	—	2	1	no	—
359	#4036	D₄	1	1	yes	characteristic
360	#4036	C₂³	1	1	yes	characteristic
361	#4036	C₂³	1	1	yes	characteristic
362	#4035	—	2	1	no	—
363	#4035	—	2	1	no	—
364	#4035	—	2	1	no	—
365	#4035	—	2	1	no	—
366	#4035	—	2	1	no	—
367	#4035	—	2	1	no	—
368	#4035	—	2	1	no	—
369	#4034	—	2	1	no	—
370	#4034	C₂³	1	1	yes	characteristic
371	#4033	—	2	1	no	—
372	#4033	—	2	1	no	—
373	#4033	—	2	1	no	—
374	#4033	—	2	1	no	—
375	#4033	C₂³	1	1	yes	characteristic
376	#4033	C₂³	1	1	yes	characteristic
377	#4031	—	2	1	no	—
378	#4031	—	2	1	no	—
379	#4031	—	2	1	no	—
380	#4031	—	2	1	no	—
381	#4029	—	2	1	no	—
382	#4029	—	2	1	no	—
383	#4029	—	2	1	no	—
384	#4029	—	2	1	no	—
385	#4029	D₄	1	1	yes	characteristic
386	#4029	D₄	1	1	yes	characteristic
387	#4027	—	2	1	no	—
388	#4027	—	2	1	no	—
389	D₅×C₂²⋊C₄	—	2	1	no	—
390	D₅×C₂²⋊C₄	—	2	1	no	—
391	D₅×C₂²⋊C₄	—	2	1	no	—
392	#4025	—	2	1	no	—
393	#4025	—	2	1	no	—
394	#4025	—	2	1	no	—
395	#4025	—	2	1	no	—
396	#4025	—	2	1	no	—
397	#4025	—	2	1	no	—
398	#4025	—	2	1	no	—
399	#4025	—	2	1	no	—
400	#4025	—	2	1	no	—
401	#4025	—	2	1	no	—
402	#4025	—	2	1	no	—
403	#4025	D₄	1	1	yes	characteristic
404	#4025	D₄	1	1	yes	characteristic
405	#4024	—	2	1	no	—
406	#4024	—	2	1	no	—
407	#4024	—	2	1	no	—
408	#4023	—	2	1	no	—
409	#4022	—	2	1	no	—
410	#4021	C₂³	1	1	yes	characteristic
411	#4018	—	2	1	no	—
412	#4018	—	2	1	no	—
413	C₄²×D₅	—	2	1	no	—
414	C₄²×D₅	C₂³	1	1	yes	characteristic
415	#4015	—	2	1	no	—
416	#4015	C₂³	1	1	yes	characteristic
417	C₄×Dic₁₀	—	2	1	no	—
418	C₄×Dic₁₀	—	2	1	no	—
419	C₄×Dic₁₀	—	2	1	no	—
420	C₄×Dic₁₀	C₂³	1	1	yes	characteristic
421	C₄×Dic₁₀	C₂³	1	1	yes	characteristic
422	C₄×Dic₁₀	C₂³	1	1	yes	characteristic
423	C₅×#106	C₂³	1	1	yes	characteristic
424	C₅×C₄⋊C₈	C₂³	1	1	yes	characteristic
425	C₅×#103	C₂³	1	1	yes	characteristic
426	C₅×#103	C₂³	1	1	yes	characteristic
427	C₅×#103	C₂³	1	1	yes	characteristic
428	C₅×#103	C₂³	1	1	yes	characteristic
429	C₅×#103	C₂³	1	1	yes	characteristic
430	C₅×#102	C₂³	1	1	yes	characteristic
431	C₅×C₂²⋊C₈	C₂³	1	1	yes	characteristic
432	C₅×C₂²⋊C₈	C₂³	1	1	yes	characteristic
433	C₅×#97	C₂³	1	1	yes	characteristic
434	#3967	C₂³	1	1	yes	characteristic
435	#3967	C₂³	1	1	yes	characteristic
436	#3967	C₂³	1	1	yes	characteristic
437	#3967	C₂³	1	1	yes	characteristic
438	#3967	C₂³	1	1	yes	characteristic
439	#3967	C₂³	1	1	yes	characteristic
440	#3967	C₂³	1	1	yes	characteristic
441	#3967	C₂³	1	1	yes	characteristic
442	#3967	C₂³	1	1	yes	characteristic
443	#3964	C₂³	1	1	yes	characteristic
444	#3964	C₂³	1	1	yes	characteristic
445	#3964	C₂³	1	1	yes	characteristic
446	C₂²⋊#168	C₂³	1	1	yes	characteristic
447	C₂²⋊#168	C₂³	1	1	yes	characteristic
448	#3953	C₂³	1	1	yes	characteristic
449	#3953	C₂³	1	1	yes	characteristic
450	#3953	C₂³	1	1	yes	characteristic
451	#3952	C₂³	1	1	yes	characteristic
452	#3952	C₂³	1	1	yes	characteristic
453	#3950	C₂³	1	1	yes	characteristic
454	#3950	C₂³	1	1	yes	characteristic
455	#3949	C₂³	1	1	yes	characteristic
456	#3948	C₂³	1	1	yes	characteristic
457	#3948	C₂³	1	1	yes	characteristic
458	#3948	C₂³	1	1	yes	characteristic
459	#3948	C₂³	1	1	yes	characteristic
460	#3948	C₂³	1	1	yes	characteristic
461	#3948	C₂³	1	1	yes	characteristic
462	#3948	C₂³	1	1	yes	characteristic
463	#3947	C₂³	1	1	yes	characteristic
464	#3947	C₂³	1	1	yes	characteristic
465	#3946	C₂³	1	1	yes	characteristic
466	#3946	C₂³	1	1	yes	characteristic
467	#3946	C₂³	1	1	yes	characteristic
468	#3946	C₂³	1	1	yes	characteristic
469	#3946	C₂³	1	1	yes	characteristic
470	#3946	C₂³	1	1	yes	characteristic
471	#3946	C₂³	1	1	yes	characteristic
472	#3946	C₂³	1	1	yes	characteristic
473	C₈×Dic₅	C₂³	1	1	yes	characteristic
474	C₈×Dic₅	C₂³	1	1	yes	characteristic
475	#3942	C₂³	1	1	yes	characteristic
476	#3942	C₂³	1	1	yes	characteristic
477	#3942	C₂³	1	1	yes	characteristic
478	#3941	C₂³	1	1	yes	characteristic
479	#3940	C₂³	1	1	yes	characteristic
480	#3940	C₂³	1	1	yes	characteristic
481	#3939	C₂³	1	1	yes	characteristic
482	#3939	C₂³	1	1	yes	characteristic
483	C₄⋊#168	C₂³	1	1	yes	characteristic
484	#3935	C₂³	1	1	yes	characteristic
485	#3561	—	5	1	no	—
486	#3523	—	5	1	no	—
487	#3398	—	5	1	no	—
488	#3398	—	5	1	no	—
489	#3377	—	5	1	no	—
490	#3377	—	5	1	no	—
491	#3313	—	5	1	no	—
492	#3313	—	5	1	no	—
493	#3312	—	5	1	no	—
494	#3312	—	5	1	no	—
495	#3296	—	5	1	no	—
496	#3296	—	5	1	no	—
497	D₄×Q₁₆	—	5	1	no	—
498	D₄×Q₁₆	—	5	1	no	—
499	#3270	—	5	1	no	—
500	#3270	D₅	1	1	yes	characteristic, complemented
501	#3266	—	5	1	no	—
502	#3266	—	5	1	no	—
503	#3258	—	5	1	no	—
504	#3258	—	5	1	no	—
505	#3249	—	5	1	no	—
506	#3223	—	5	1	no	—
507	#3223	—	5	1	no	—
508	#3215	—	5	1	no	—
509	#3121	—	5	1	no	—
510	#3121	—	5	1	no	—
511	#3113	—	5	1	no	—
512	#3044	—	5	1	no	—
513	#3044	—	5	1	no	—
514	C₂×#464	—	5	1	no	—
515	#2992	—	5	1	no	—
516	C₂³×D₅	—	2	1	no	—
517	C₅×#41	—	4	1	no	—
518	C₅×#41	—	4	1	no	—
519	C₂×C₅×Q₈	—	2	1	no	—
520	C₂×C₅×Q₈	—	2	1	no	—
521	C₂×C₅×Q₈	—	2	1	no	—
522	C₂×C₅×Q₈	—	2	2	no	—
523	C₂×C₅×Q₈	—	2	2	no	—
524	C₂×C₅×Q₈	—	4	1	no	—
525	C₂×C₅×Q₈	—	4	1	no	—
526	C₂×C₅×Q₈	—	4	1	no	—
527	C₂×C₅×Q₈	—	4	1	no	—
528	C₂×C₅×Q₈	C₂⁴	1	1	yes	characteristic
529	C₂×C₅×Q₈	C₂⁴	1	1	yes	characteristic
530	C₂×C₅×Q₈	C₂⁴	1	1	yes	characteristic
531	C₂×C₅×Q₈	C₂⁴	1	1	yes	characteristic
532	C₂×C₅×Q₈	C₂⁴	1	1	yes	characteristic
533	C₂×C₅×D₄	—	2	1	no	—
534	C₂×C₅×D₄	—	2	1	no	—
535	C₂×C₅×D₄	C₂×D₄	1	1	yes	characteristic
536	C₂×C₅×D₄	C₂⁴	1	1	yes	characteristic
537	C₂²×C₄×C₅	—	2	1	no	—
538	C₂²×C₄×C₅	—	2	1	no	—
539	C₂²×C₄×C₅	—	2	1	no	—
540	C₂²×C₄×C₅	—	2	1	no	—
541	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
542	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
543	C₂×C₂²⋊D₅	—	2	1	no	—
544	C₂×C₂²⋊D₅	—	2	1	no	—
545	C₂×C₂²⋊D₅	—	2	1	no	—
546	C₂×C₂²⋊D₅	C₂×D₄	1	1	yes	characteristic
547	C₂×C₂²⋊D₅	C₂×D₄	1	1	yes	characteristic
548	C₂²×Dic₅	—	2	1	no	—
549	C₂²×Dic₅	—	2	1	no	—
550	Q₈×D₅	—	2	2	no	—
551	Q₈×D₅	—	4	1	no	—
552	Q₈×D₅	—	4	1	no	—
553	Q₈×D₅	—	4	1	no	—
554	D₄×D₅	—	4	1	no	—
555	D₄×D₅	—	4	1	no	—
556	#709	—	4	1	no	—
557	#709	—	4	1	no	—
558	C₂×D₂₀	C₂⁴	1	1	yes	characteristic
559	C₂×C₄×D₅	—	2	1	no	—
560	C₂×C₄×D₅	—	2	1	no	—
561	C₂×C₄×D₅	—	2	1	no	—
562	C₂×C₄×D₅	—	2	1	no	—
563	C₂×C₄×D₅	—	2	1	no	—
564	C₂×C₄×D₅	C₂×D₄	1	1	yes	characteristic
565	C₂×C₄×D₅	C₂×D₄	1	1	yes	characteristic
566	C₂×C₄×D₅	C₂⁴	1	1	yes	characteristic
567	C₂×Dic₁₀	—	2	1	no	—
568	C₂×Dic₁₀	—	2	1	no	—
569	C₂×Dic₁₀	—	2	1	no	—
570	C₂×Dic₁₀	—	2	1	no	—
571	C₂×Dic₁₀	—	2	1	no	—
572	C₂×Dic₁₀	—	4	1	no	—
573	C₂×Dic₁₀	—	4	1	no	—
574	C₂×Dic₁₀	C₂×D₄	1	1	yes	characteristic
575	C₂×Dic₁₀	C₂⁴	1	1	yes	characteristic
576	C₂×Dic₁₀	C₂⁴	1	1	yes	characteristic
577	C₂×Dic₁₀	C₂⁴	1	1	yes	characteristic
578	C₅×Q₁₆	—	2	2	no	—
579	C₅×Q₁₆	—	2	2	no	—
580	C₅×Q₁₆	—	4	1	no	—
581	C₅×Q₁₆	—	4	1	no	—
582	C₅×Q₁₆	—	4	1	no	—
583	C₅×Q₁₆	—	4	1	no	—
584	C₅×SD₁₆	—	2	2	no	—
585	C₅×SD₁₆	—	4	1	no	—
586	C₅×SD₁₆	—	4	1	no	—
587	C₅×M₁₆	—	4	1	no	—
588	C₂×C₅×C₈	—	4	1	no	—
589	C₂×C₅×C₈	C₂⁴	1	1	yes	characteristic
590	C₂×C₅×C₈	C₂⁴	1	1	yes	characteristic
591	C₂×C₅×C₈	C₂⁴	1	1	yes	characteristic
592	C₂×C₅×C₈	C₂⁴	1	1	yes	characteristic
593	C₅×C₄⋊C₄	—	2	1	no	—
594	C₅×C₄⋊C₄	—	2	1	no	—
595	C₅×C₄⋊C₄	—	2	1	no	—
596	C₅×C₄⋊C₄	—	2	1	no	—
597	C₅×C₄⋊C₄	—	2	1	no	—
598	C₅×C₄⋊C₄	—	2	1	no	—
599	C₅×C₄⋊C₄	—	2	1	no	—
600	C₅×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
601	C₅×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
602	C₅×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
603	C₅×C₂²⋊C₄	—	2	1	no	—
604	C₅×C₂²⋊C₄	—	2	1	no	—
605	C₅×C₂²⋊C₄	—	2	1	no	—
606	C₅×C₂²⋊C₄	—	2	1	no	—
607	C₅×C₂²⋊C₄	—	2	1	no	—
608	C₅×C₂²⋊C₄	—	2	1	no	—
609	C₅×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
610	C₅×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
611	C₄²×C₅	—	2	1	no	—
612	C₄²×C₅	—	2	1	no	—
613	C₄²×C₅	C₂⁴	1	1	yes	characteristic
614	C₂²⋊Dic₅	—	2	1	no	—
615	C₂²⋊Dic₅	—	2	1	no	—
616	C₂²⋊Dic₅	—	2	1	no	—
617	C₂²⋊Dic₅	—	2	1	no	—
618	C₂²⋊Dic₅	—	2	1	no	—
619	C₂²⋊Dic₅	—	2	1	no	—
620	C₂²⋊Dic₅	—	2	1	no	—
621	C₂²⋊Dic₅	—	2	1	no	—
622	C₂²⋊Dic₅	—	2	1	no	—
623	C₂²⋊Dic₅	—	2	1	no	—
624	C₂²⋊Dic₅	C₂×D₄	1	1	yes	characteristic
625	C₂²⋊Dic₅	C₂×D₄	1	1	yes	characteristic
626	C₂²⋊Dic₅	C₂×D₄	1	1	yes	characteristic
627	C₂²⋊Dic₅	C₂×D₄	1	1	yes	characteristic
628	C₂²⋊Dic₅	C₂×D₄	1	1	yes	characteristic
629	C₂²⋊Dic₅	C₂×D₄	1	1	yes	characteristic
630	#689	—	2	2	no	—
631	#689	—	2	2	no	—
632	#689	—	4	1	no	—
633	#689	—	4	1	no	—
634	#689	—	4	1	no	—
635	#689	—	4	1	no	—
636	#689	—	4	1	no	—
637	#689	—	4	1	no	—
638	#688	—	2	2	no	—
639	#688	—	4	1	no	—
640	#688	—	4	1	no	—
641	#687	—	4	1	no	—
642	#685	—	2	1	no	—
643	#685	—	2	1	no	—
644	#685	—	2	1	no	—
645	#685	—	2	1	no	—
646	#685	—	2	1	no	—
647	#685	—	2	1	no	—
648	#685	—	2	1	no	—
649	#685	—	2	1	no	—
650	#685	—	2	1	no	—
651	#685	—	2	1	no	—
652	#685	—	2	1	no	—
653	#685	—	2	1	no	—
654	#685	C₂×D₄	1	1	yes	characteristic
655	#685	C₂×D₄	1	1	yes	characteristic
656	C₄⋊Dic₅	—	2	1	no	—
657	C₄⋊Dic₅	—	2	1	no	—
658	C₄⋊Dic₅	—	2	1	no	—
659	C₄⋊Dic₅	—	2	1	no	—
660	C₄⋊Dic₅	—	2	1	no	—
661	C₄⋊Dic₅	—	2	1	no	—
662	C₄⋊Dic₅	—	2	1	no	—
663	C₄⋊Dic₅	—	2	1	no	—
664	C₄⋊Dic₅	—	2	1	no	—
665	C₄⋊Dic₅	—	2	1	no	—
666	C₄⋊Dic₅	—	2	1	no	—
667	C₄⋊Dic₅	—	2	1	no	—
668	C₄⋊Dic₅	C₂×D₄	1	1	yes	characteristic
669	C₄⋊Dic₅	C₂×D₄	1	1	yes	characteristic
670	C₄⋊Dic₅	C₂×D₄	1	1	yes	characteristic
671	C₄⋊Dic₅	C₂×D₄	1	1	yes	characteristic
672	C₄⋊Dic₅	C₂×D₄	1	1	yes	characteristic
673	C₄⋊Dic₅	C₂⁴	1	1	yes	characteristic
674	C₄⋊Dic₅	C₂⁴	1	1	yes	characteristic
675	C₄⋊Dic₅	C₂⁴	1	1	yes	characteristic
676	C₄⋊Dic₅	C₂⁴	1	1	yes	characteristic
677	#683	—	2	1	no	—
678	#683	—	2	1	no	—
679	#683	—	2	1	no	—
680	#683	—	2	1	no	—
681	#683	—	2	1	no	—
682	#683	—	2	1	no	—
683	#683	—	2	1	no	—
684	#683	—	2	1	no	—
685	#683	—	2	1	no	—
686	#683	—	2	1	no	—
687	#683	—	2	1	no	—
688	#683	—	2	1	no	—
689	#683	—	2	1	no	—
690	#683	—	2	1	no	—
691	#683	—	2	1	no	—
692	#683	—	2	1	no	—
693	#683	—	2	1	no	—
694	#683	—	2	1	no	—
695	#683	—	2	1	no	—
696	#683	—	2	1	no	—
697	#683	—	2	1	no	—
698	#683	—	2	1	no	—
699	#683	—	2	1	no	—
700	#683	—	2	1	no	—
701	#683	C₂×D₄	1	1	yes	characteristic
702	#683	C₂×D₄	1	1	yes	characteristic
703	#683	C₂×D₄	1	1	yes	characteristic
704	#683	C₂×D₄	1	1	yes	characteristic
705	C₄×Dic₅	—	2	1	no	—
706	C₄×Dic₅	—	2	1	no	—
707	C₄×Dic₅	—	2	1	no	—
708	C₄×Dic₅	—	2	1	no	—
709	C₄×Dic₅	—	2	1	no	—
710	C₄×Dic₅	—	2	1	no	—
711	C₄×Dic₅	—	2	1	no	—
712	C₄×Dic₅	—	2	1	no	—
713	C₄×Dic₅	—	2	1	no	—
714	C₄×Dic₅	—	2	1	no	—
715	C₄×Dic₅	—	2	1	no	—
716	C₄×Dic₅	—	2	1	no	—
717	C₄×Dic₅	—	2	1	no	—
718	C₄×Dic₅	—	2	1	no	—
719	C₄×Dic₅	C₂×D₄	1	1	yes	characteristic
720	C₄×Dic₅	C₂×D₄	1	1	yes	characteristic
721	C₄×Dic₅	C₂⁴	1	1	yes	characteristic
722	C₄×Dic₅	C₂⁴	1	1	yes	characteristic
723	C₄×Dic₅	C₂⁴	1	1	yes	characteristic
724	#681	—	4	1	no	—
725	C₂×#168	—	4	1	no	—
726	C₂×#168	C₂⁴	1	1	yes	characteristic
727	C₂×#168	C₂⁴	1	1	yes	characteristic
728	C₂×#168	C₂⁴	1	1	yes	characteristic
729	C₂×#168	C₂⁴	1	1	yes	characteristic
730	Dic₂₀	—	4	1	no	—
731	Dic₂₀	—	4	1	no	—
732	#677	—	4	1	no	—
733	C₈×D₅	—	4	1	no	—
734	C₈×D₅	—	4	1	no	—
735	C₂×#137	—	5	1	no	—
736	C₂×#137	C₂×D₅	1	1	yes	characteristic
737	C₂²×Q₁₆	—	5	1	no	—
738	C₂²×Q₁₆	—	5	1	no	—
739	C₂²×Q₁₆	C₂×D₅	1	1	yes	characteristic, complemented
740	C₂²×SD₁₆	—	5	1	no	—
741	#563	—	10	1	no	—
742	#562	—	10	1	no	—
743	#557	—	5	1	no	—
744	#557	—	5	1	no	—
745	#557	—	10	1	no	—
746	#556	—	5	1	no	—
747	#556	—	5	1	no	—
748	#556	—	5	1	no	—
749	#556	—	10	1	no	—
750	#552	—	5	1	no	—
751	#552	—	5	1	no	—
752	#552	—	10	1	no	—
753	#552	—	10	1	no	—
754	#551	—	10	1	no	—
755	#551	—	10	1	no	—
756	D₄×Q₈	—	5	1	no	—
757	D₄×Q₈	—	5	1	no	—
758	D₄×Q₈	—	5	1	no	—
759	D₄×Q₈	—	5	1	no	—
760	D₄×Q₈	C₂×D₅	1	1	yes	characteristic, complemented
761	#548	—	5	1	no	—
762	#548	C₂×D₅	1	1	yes	characteristic
763	#546	—	5	1	no	—
764	#546	—	5	1	no	—
765	#543	—	10	1	no	—
766	#542	—	5	1	no	—
767	#542	—	5	1	no	—
768	#542	—	10	1	no	—
769	#542	—	10	1	no	—
770	#541	—	5	1	no	—
771	#541	—	5	1	no	—
772	#541	—	10	1	no	—
773	#541	—	10	1	no	—
774	#538	—	10	1	no	—
775	#536	—	5	1	no	—
776	#536	—	5	1	no	—
777	#533	—	5	1	no	—
778	#533	—	5	1	no	—
779	#533	—	10	1	no	—
780	#529	—	5	1	no	—
781	#529	—	10	1	no	—
782	C₂×#124	—	5	1	no	—
783	#519	—	5	1	no	—
784	#519	—	5	1	no	—
785	C₂×C₄×Q₈	—	5	1	no	—
786	#497	—	5	1	no	—
787	#497	—	5	1	no	—
788	#497	—	5	1	no	—
789	#497	C₂×D₅	1	1	yes	characteristic
790	#494	—	5	1	no	—
791	#494	—	5	1	no	—
792	#491	—	5	1	no	—
793	#491	—	5	1	no	—
794	#489	—	5	1	no	—
795	#489	—	5	1	no	—
796	#488	—	5	1	no	—
797	#488	—	5	1	no	—
798	#485	—	5	1	no	—
799	#485	—	5	1	no	—
800	#483	—	5	1	no	—
801	#483	—	5	1	no	—
802	#482	—	5	1	no	—
803	#482	—	5	1	no	—
804	#479	—	5	1	no	—
805	#479	—	5	1	no	—
806	#478	—	5	1	no	—
807	#478	—	5	1	no	—
808	#477	—	5	1	no	—
809	#477	—	5	1	no	—
810	#477	—	5	1	no	—
811	#477	—	5	1	no	—
812	#475	—	5	1	no	—
813	#475	—	5	1	no	—
814	#470	—	5	1	no	—
815	#470	C₂×D₅	1	1	yes	characteristic, complemented
816	#468	—	5	1	no	—
817	#468	—	5	1	no	—
818	#467	—	5	1	no	—
819	#467	—	5	1	no	—
820	#467	—	5	1	no	—
821	#467	—	5	1	no	—
822	#467	—	5	1	no	—
823	#467	—	5	1	no	—
824	#465	—	5	1	no	—
825	#465	C₂×D₅	1	1	yes	characteristic
826	#464	—	5	1	no	—
827	#464	—	5	1	no	—
828	#464	—	5	1	no	—
829	#464	—	5	1	no	—
830	#464	—	5	1	no	—
831	#464	—	5	1	no	—
832	#464	—	5	1	no	—
833	#464	—	5	1	no	—
834	#464	—	5	1	no	—
835	#464	—	5	1	no	—
836	#464	—	5	1	no	—
837	#464	—	5	1	no	—
838	#464	—	5	1	no	—
839	#464	—	5	1	no	—
840	#464	—	5	1	no	—
841	#464	C₂×D₅	1	1	yes	characteristic
842	#462	—	5	1	no	—
843	#462	—	5	1	no	—
844	#462	—	5	1	no	—
845	#462	—	5	1	no	—
846	#462	—	5	1	no	—
847	#462	—	5	1	no	—
848	#462	—	5	1	no	—
849	#462	—	5	1	no	—
850	#462	—	5	1	no	—
851	#462	—	5	1	no	—
852	#462	—	5	1	no	—
853	#462	C₂×D₅	1	1	yes	characteristic, complemented
854	#461	—	5	1	no	—
855	#461	—	5	1	no	—
856	#452	—	5	1	no	—
857	#452	—	5	1	no	—
858	#452	—	5	1	no	—
859	#452	C₂×D₅	1	1	yes	characteristic
860	#451	—	5	1	no	—
861	#451	—	5	1	no	—
862	#451	—	5	1	no	—
863	#451	—	5	1	no	—
864	#451	—	5	1	no	—
865	#451	—	5	1	no	—
866	#451	—	5	1	no	—
867	#451	—	5	1	no	—
868	#451	C₂×D₅	1	1	yes	characteristic, complemented
869	#451	C₂×D₅	1	1	yes	characteristic, complemented
870	#450	—	5	1	no	—
871	#450	—	5	1	no	—
872	#448	—	5	1	no	—
873	#448	C₂×D₅	1	1	yes	characteristic
874	#446	—	5	1	no	—
875	#446	—	5	1	no	—
876	#441	—	5	1	no	—
877	#441	—	5	1	no	—
878	#441	—	5	1	no	—
879	#441	—	5	1	no	—
880	#441	—	5	1	no	—
881	#441	C₂×D₅	1	1	yes	characteristic, complemented
882	#440	—	5	1	no	—
883	#440	—	5	1	no	—
884	C₄×Q₁₆	—	5	1	no	—
885	C₄×Q₁₆	—	5	1	no	—
886	C₄×SD₁₆	—	5	1	no	—
887	C₄×SD₁₆	—	5	1	no	—
888	#435	—	5	1	no	—
889	#435	—	5	1	no	—
890	#435	—	5	1	no	—
891	#435	C₂×D₅	1	1	yes	characteristic, complemented
892	C₈×D₄	—	5	1	no	—
893	C₈×D₄	—	5	1	no	—
894	#433	—	5	1	no	—
895	#433	—	5	1	no	—
896	#432	—	5	1	no	—
897	#424	—	5	1	no	—
898	#424	—	5	1	no	—
899	C₂×C₄⋊C₈	—	5	1	no	—
900	#419	—	5	1	no	—
901	#419	—	5	1	no	—
902	#416	—	5	1	no	—
903	#416	—	5	1	no	—
904	C₂×#103	—	5	1	no	—
905	C₂×#102	—	5	1	no	—
906	C₂³×C₅	—	2	1	no	—
907	C₂³×C₅	C₂²×D₄	1	1	yes	characteristic
908	C₂³×C₅	C₂²×D₄	1	1	yes	characteristic
909	C₂²×D₅	—	2	1	no	—
910	C₂²×D₅	—	4	2	no	—
911	C₂²×D₅	—	8	1	no	—
912	C₂²×D₅	—	8	1	no	—
913	C₂²×D₅	C₂²×D₄	1	1	yes	characteristic
914	C₅×Q₈	—	2	1	no	—
915	C₅×Q₈	—	2	1	no	—
916	C₅×Q₈	—	2	1	no	—
917	C₅×Q₈	—	2	1	no	—
918	C₅×Q₈	—	2	1	no	—
919	C₅×Q₈	—	2	1	no	—
920	C₅×Q₈	—	2	1	no	—
921	C₅×Q₈	—	2	1	no	—
922	C₅×Q₈	—	2	1	no	—
923	C₅×Q₈	—	4	2	no	—
924	C₅×Q₈	—	4	2	no	—
925	C₅×Q₈	—	8	1	no	—
926	C₅×Q₈	H(5,𝔽₂)	1	2	yes	—
927	C₅×D₄	—	2	1	no	—
928	C₅×D₄	—	2	1	no	—
929	C₅×D₄	—	4	1	no	—
930	C₅×D₄	—	8	1	no	—
931	C₅×D₄	—	8	1	no	—
932	C₂×C₄×C₅	—	2	1	no	—
933	C₂×C₄×C₅	—	2	1	no	—
934	C₂×C₄×C₅	—	2	1	no	—
935	C₂×C₄×C₅	—	2	1	no	—
936	C₂×C₄×C₅	—	2	1	no	—
937	C₂×C₄×C₅	—	2	1	no	—
938	C₂×C₄×C₅	—	2	1	no	—
939	C₂×C₄×C₅	—	2	1	no	—
940	C₂×C₄×C₅	—	2	1	no	—
941	C₂×C₄×C₅	—	2	1	no	—
942	C₂×C₄×C₅	—	2	1	no	—
943	C₂×C₄×C₅	—	4	2	no	—
944	C₂×C₄×C₅	—	4	2	no	—
945	C₂×C₄×C₅	—	8	1	no	—
946	C₂×C₄×C₅	—	8	1	no	—
947	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
948	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
949	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
950	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
951	C₂×C₄×C₅	C₂⁵	1	1	yes	characteristic
952	C₂²⋊D₅	—	2	2	no	—
953	C₂²⋊D₅	—	2	2	no	—
954	C₂²⋊D₅	—	8	1	no	—
955	C₂²⋊D₅	—	8	1	no	—
956	C₂²⋊D₅	—	8	1	no	—
957	C₂×Dic₅	—	2	1	no	—
958	C₂×Dic₅	—	2	1	no	—
959	C₂×Dic₅	—	2	1	no	—
960	C₂×Dic₅	—	2	1	no	—
961	C₂×Dic₅	—	2	1	no	—
962	C₂×Dic₅	—	2	1	no	—
963	C₂×Dic₅	—	2	1	no	—
964	C₂×Dic₅	—	8	1	no	—
965	C₂×Dic₅	—	8	1	no	—
966	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
967	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
968	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
969	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
970	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
971	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
972	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
973	D₂₀	—	2	1	no	—
974	D₂₀	—	2	1	no	—
975	C₄×D₅	—	2	2	no	—
976	C₄×D₅	—	2	1	no	—
977	C₄×D₅	—	2	1	no	—
978	C₄×D₅	—	4	1	no	—
979	C₄×D₅	—	4	2	no	—
980	C₄×D₅	—	4	2	no	—
981	C₄×D₅	—	8	1	no	—
982	C₄×D₅	—	8	1	no	—
983	C₄×D₅	—	8	1	no	—
984	Dic₁₀	—	2	1	no	—
985	Dic₁₀	—	2	1	no	—
986	Dic₁₀	—	2	1	no	—
987	Dic₁₀	—	2	1	no	—
988	Dic₁₀	—	2	1	no	—
989	Dic₁₀	—	2	1	no	—
990	Dic₁₀	—	4	1	no	—
991	Dic₁₀	—	4	2	no	—
992	Dic₁₀	—	4	2	no	—
993	Dic₁₀	—	8	1	no	—
994	Dic₁₀	—	8	1	no	—
995	Dic₁₀	—	8	1	no	—
996	C₅×C₈	—	2	1	no	—
997	C₅×C₈	—	2	1	no	—
998	C₅×C₈	—	2	1	no	—
999	C₅×C₈	—	2	1	no	—
1000	#168	—	2	1	no	—
1001	#168	—	2	1	no	—
1002	#168	—	2	1	no	—
1003	#168	—	2	1	no	—
1004	C₂×#41	—	5	1	no	—
1005	C₂×#41	C₂²×D₅	1	1	yes	characteristic
1006	C₂²×Q₈	—	5	1	no	—
1007	C₂²×Q₈	—	5	1	no	—
1008	C₂²×Q₈	—	5	1	no	—
1009	C₂²×Q₈	C₂²×D₅	1	1	yes	characteristic
1010	C₂²×Q₈	C₂²×D₅	1	1	yes	characteristic
1011	C₂²×Q₈	C₂²×D₅	1	1	yes	characteristic
1012	C₂²×D₄	—	5	1	no	—
1013	#137	—	4	2	no	—
1014	#137	—	20	2	no	—
1015	C₂×Q₁₆	—	4	2	no	—
1016	C₂×Q₁₆	—	5	1	no	—
1017	C₂×Q₁₆	—	5	1	no	—
1018	C₂×Q₁₆	—	5	1	no	—
1019	C₂×Q₁₆	—	5	1	no	—
1020	C₂×Q₁₆	—	5	1	no	—
1021	C₂×Q₁₆	—	5	1	no	—
1022	C₂×Q₁₆	—	5	1	no	—
1023	C₂×Q₁₆	—	5	1	no	—
1024	C₂×Q₁₆	—	5	1	no	—
1025	C₂×Q₁₆	—	5	1	no	—
1026	C₂×Q₁₆	—	20	2	no	—
1027	C₂×Q₁₆	—	20	2	no	—
1028	C₂×Q₁₆	C₂²×D₅	1	1	yes	characteristic
1029	C₂×Q₁₆	C₂²×D₅	1	1	yes	characteristic
1030	C₂×Q₁₆	C₂²×D₅	1	1	yes	characteristic
1031	C₂×Q₁₆	C₂²×D₅	1	1	yes	characteristic
1032	C₂×Q₁₆	C₂²×D₅	1	1	yes	characteristic
1033	C₂×Q₁₆	C₂²×D₅	1	1	yes	characteristic
1034	C₂×SD₁₆	—	5	1	no	—
1035	C₂×SD₁₆	—	5	1	no	—
1036	C₂×SD₁₆	—	5	1	no	—
1037	C₂×SD₁₆	—	5	1	no	—
1038	C₂×SD₁₆	—	5	1	no	—
1039	C₂×SD₁₆	—	20	2	no	—
1040	C₂×SD₁₆	C₂²×D₅	1	1	yes	characteristic
1041	C₂×SD₁₆	C₂²×D₅	1	1	yes	characteristic
1042	C₂×SD₁₆	C₂²×D₅	1	1	yes	characteristic
1043	C₂×M₁₆	—	5	1	no	—
1044	C₂×M₁₆	C₂²×D₅	1	1	yes	characteristic
1045	C₂²×C₈	—	5	1	no	—
1046	C₂²×C₈	—	5	1	no	—
1047	C₂²×C₈	—	5	1	no	—
1048	C₂²×C₈	C₂²×D₅	1	1	yes	characteristic
1049	C₄⋊Q₈	—	2	1	no	—
1050	C₄⋊Q₈	—	5	1	no	—
1051	C₄⋊Q₈	—	5	1	no	—
1052	C₄⋊Q₈	—	5	1	no	—
1053	C₄⋊Q₈	—	5	1	no	—
1054	C₄⋊Q₈	—	5	1	no	—
1055	C₄⋊Q₈	—	5	1	no	—
1056	C₄⋊Q₈	—	5	1	no	—
1057	C₄⋊Q₈	—	10	1	no	—
1058	C₄⋊Q₈	—	10	1	no	—
1059	C₄⋊Q₈	—	10	1	no	—
1060	C₄⋊Q₈	—	10	1	no	—
1061	C₄⋊Q₈	—	10	1	no	—
1062	C₄⋊Q₈	C₂²×D₅	1	1	yes	characteristic
1063	#126	—	5	1	no	—
1064	#126	—	5	1	no	—
1065	#126	—	10	1	no	—
1066	#126	—	10	1	no	—
1067	#126	—	10	1	no	—
1068	#126	—	10	1	no	—
1069	#126	—	10	1	no	—
1070	#126	—	10	1	no	—
1071	#126	—	10	1	no	—
1072	#126	—	10	1	no	—
1073	#126	—	10	1	no	—
1074	#126	—	10	1	no	—
1075	#126	—	10	1	no	—
1076	#126	—	10	1	no	—
1077	#126	—	10	1	no	—
1078	#126	—	10	1	no	—
1079	#125	—	5	1	no	—
1080	#125	—	5	1	no	—
1081	#125	—	5	1	no	—
1082	#125	—	10	1	no	—
1083	#125	—	10	1	no	—
1084	#125	—	10	1	no	—
1085	#125	—	10	1	no	—
1086	#125	—	10	1	no	—
1087	#125	—	10	1	no	—
1088	#125	—	10	1	no	—
1089	#125	—	10	1	no	—
1090	#125	—	10	1	no	—
1091	#125	—	10	1	no	—
1092	#125	—	10	1	no	—
1093	#125	—	10	1	no	—
1094	#125	—	10	1	no	—
1095	#124	—	2	1	no	—
1096	#124	—	5	1	no	—
1097	#124	—	5	1	no	—
1098	#124	—	5	1	no	—
1099	#124	—	5	1	no	—
1100	#124	—	5	1	no	—
1101	#124	—	5	1	no	—
1102	#124	—	10	1	no	—
1103	#124	—	10	1	no	—
1104	#124	—	10	1	no	—
1105	#124	—	10	1	no	—
1106	#124	—	10	1	no	—
1107	#124	—	10	1	no	—
1108	#124	C₂²×D₅	1	1	yes	characteristic
1109	#123	—	5	1	no	—
1110	#123	—	5	1	no	—
1111	#123	—	10	1	no	—
1112	#123	—	10	1	no	—
1113	#123	—	10	1	no	—
1114	#123	—	10	1	no	—
1115	#123	—	10	1	no	—
1116	#123	—	10	1	no	—
1117	#123	—	10	1	no	—
1118	#123	—	10	1	no	—
1119	#123	—	10	1	no	—
1120	#123	—	10	1	no	—
1121	C₂²⋊Q₈	—	2	1	no	—
1122	C₂²⋊Q₈	—	2	1	no	—
1123	C₂²⋊Q₈	—	2	1	no	—
1124	C₂²⋊Q₈	—	5	1	no	—
1125	C₂²⋊Q₈	—	5	1	no	—
1126	C₂²⋊Q₈	—	5	1	no	—
1127	C₂²⋊Q₈	—	5	1	no	—
1128	C₂²⋊Q₈	—	5	1	no	—
1129	C₂²⋊Q₈	—	5	1	no	—
1130	C₂²⋊Q₈	—	5	1	no	—
1131	C₂²⋊Q₈	—	5	1	no	—
1132	C₂²⋊Q₈	—	10	1	no	—
1133	C₂²⋊Q₈	—	10	1	no	—
1134	C₂²⋊Q₈	—	10	1	no	—
1135	C₂²⋊Q₈	—	10	1	no	—
1136	C₂²⋊Q₈	—	10	1	no	—
1137	C₂²⋊Q₈	—	10	1	no	—
1138	C₂²⋊Q₈	—	10	1	no	—
1139	C₂²⋊Q₈	—	10	1	no	—
1140	C₂²⋊Q₈	—	10	1	no	—
1141	C₂²⋊Q₈	—	10	1	no	—
1142	C₂²⋊Q₈	—	10	1	no	—
1143	C₂²⋊Q₈	—	10	1	no	—
1144	C₂²⋊Q₈	—	10	1	no	—
1145	C₂²⋊Q₈	—	10	1	no	—
1146	C₂²⋊Q₈	—	10	1	no	—
1147	C₂²⋊Q₈	—	10	1	no	—
1148	C₂²⋊Q₈	—	10	1	no	—
1149	C₂²⋊Q₈	—	10	1	no	—
1150	C₂²⋊Q₈	—	10	1	no	—
1151	C₂²⋊Q₈	C₂²×D₅	1	1	yes	characteristic
1152	C₂²⋊Q₈	C₂²×D₅	1	1	yes	characteristic
1153	C₂²⋊Q₈	C₂²×D₅	1	1	yes	characteristic
1154	#121	—	2	1	no	—
1155	#121	—	5	1	no	—
1156	#121	—	5	1	no	—
1157	#121	—	10	1	no	—
1158	#121	—	10	1	no	—
1159	#121	—	10	1	no	—
1160	#121	C₂²×D₅	1	1	yes	characteristic
1161	#120	—	10	1	no	—
1162	#120	—	10	1	no	—
1163	C₄×Q₈	—	5	1	no	—
1164	C₄×Q₈	—	5	1	no	—
1165	C₄×Q₈	—	5	1	no	—
1166	C₄×Q₈	—	5	1	no	—
1167	C₄×Q₈	—	5	1	no	—
1168	C₄×Q₈	—	5	1	no	—
1169	C₄×Q₈	—	5	1	no	—
1170	C₄×Q₈	—	5	1	no	—
1171	C₄×Q₈	—	5	1	no	—
1172	C₄×Q₈	—	5	1	no	—
1173	C₄×Q₈	—	5	1	no	—
1174	C₄×Q₈	—	5	1	no	—
1175	C₄×Q₈	—	5	1	no	—
1176	C₄×Q₈	—	10	1	no	—
1177	C₄×Q₈	—	10	1	no	—
1178	C₄×Q₈	—	10	1	no	—
1179	C₄×Q₈	—	10	1	no	—
1180	C₄×Q₈	—	10	1	no	—
1181	C₄×Q₈	—	10	1	no	—
1182	C₄×Q₈	—	10	1	no	—
1183	C₄×Q₈	—	10	1	no	—
1184	C₄×Q₈	—	10	1	no	—
1185	C₄×Q₈	—	10	1	no	—
1186	C₄×Q₈	—	10	1	no	—
1187	C₄×Q₈	C₂²×D₅	1	1	yes	characteristic
1188	C₄×Q₈	C₂²×D₅	1	1	yes	characteristic
1189	C₄×D₄	—	2	1	no	—
1190	C₄×D₄	—	2	1	no	—
1191	C₄×D₄	—	5	1	no	—
1192	C₄×D₄	—	5	1	no	—
1193	C₄×D₄	—	5	1	no	—
1194	C₄×D₄	—	5	1	no	—
1195	C₄×D₄	—	10	1	no	—
1196	C₄×D₄	—	10	1	no	—
1197	C₄×D₄	—	10	1	no	—
1198	C₄×D₄	—	10	1	no	—
1199	C₄×D₄	—	10	1	no	—
1200	C₄×D₄	C₂²×D₅	1	1	yes	characteristic
1201	#117	—	5	1	no	—
1202	#117	—	5	1	no	—
1203	#117	—	5	1	no	—
1204	#117	—	5	1	no	—
1205	#117	—	10	1	no	—
1206	#117	—	10	1	no	—
1207	#117	—	10	1	no	—
1208	#117	—	10	1	no	—
1209	#117	—	10	1	no	—
1210	#117	—	10	1	no	—
1211	#117	—	10	1	no	—
1212	#117	—	10	1	no	—
1213	#117	—	10	1	no	—
1214	#117	—	10	1	no	—
1215	C₂×C₄⋊C₄	—	5	1	no	—
1216	C₂×C₄⋊C₄	—	10	1	no	—
1217	C₂×C₂²⋊C₄	—	10	1	no	—
1218	C₂×C₂²⋊C₄	—	10	1	no	—
1219	C₂×C₂²⋊C₄	—	10	1	no	—
1220	C₂×C₂²⋊C₄	—	10	1	no	—
1221	C₂×C₄²	—	5	1	no	—
1222	C₂×C₄²	—	10	1	no	—
1223	#107	—	5	1	no	—
1224	#107	—	5	1	no	—
1225	#107	—	5	1	no	—
1226	#107	—	5	1	no	—
1227	#106	—	5	1	no	—
1228	#106	—	5	1	no	—
1229	#106	—	5	1	no	—
1230	#106	C₂²×D₅	1	1	yes	characteristic
1231	C₄⋊C₈	—	5	1	no	—
1232	C₄⋊C₈	—	5	1	no	—
1233	C₄⋊C₈	—	5	1	no	—
1234	C₄⋊C₈	—	5	1	no	—
1235	C₄⋊C₈	—	5	1	no	—
1236	C₄⋊C₈	—	5	1	no	—
1237	C₄⋊C₈	—	5	1	no	—
1238	C₄⋊C₈	—	5	1	no	—
1239	C₄⋊C₈	—	5	1	no	—
1240	C₄⋊C₈	C₂²×D₅	1	1	yes	characteristic
1241	#103	—	5	1	no	—
1242	#103	—	5	1	no	—
1243	#103	—	5	1	no	—
1244	#103	—	5	1	no	—
1245	#103	—	5	1	no	—
1246	#103	—	5	1	no	—
1247	#103	—	5	1	no	—
1248	#103	—	5	1	no	—
1249	#103	—	5	1	no	—
1250	#103	—	5	1	no	—
1251	#103	—	5	1	no	—
1252	#103	—	5	1	no	—
1253	#103	—	5	1	no	—
1254	#103	—	5	1	no	—
1255	#103	—	5	1	no	—
1256	#103	—	5	1	no	—
1257	#103	—	5	1	no	—
1258	#103	—	5	1	no	—
1259	#103	—	5	1	no	—
1260	#103	C₂²×D₅	1	1	yes	characteristic
1261	#103	C₂²×D₅	1	1	yes	characteristic
1262	#103	C₂²×D₅	1	1	yes	characteristic
1263	#103	C₂²×D₅	1	1	yes	characteristic
1264	#103	C₂²×D₅	1	1	yes	characteristic
1265	#102	—	5	1	no	—
1266	#102	—	5	1	no	—
1267	#102	—	5	1	no	—
1268	#102	—	5	1	no	—
1269	#102	—	5	1	no	—
1270	#102	—	5	1	no	—
1271	#102	—	5	1	no	—
1272	#102	C₂²×D₅	1	1	yes	characteristic
1273	C₂²⋊C₈	—	5	1	no	—
1274	C₂²⋊C₈	—	5	1	no	—
1275	C₂²⋊C₈	—	5	1	no	—
1276	C₂²⋊C₈	—	5	1	no	—
1277	C₂²⋊C₈	C₂²×D₅	1	1	yes	characteristic
1278	C₂²⋊C₈	C₂²×D₅	1	1	yes	characteristic
1279	#97	—	5	1	no	—
1280	#97	—	5	1	no	—
1281	#97	—	5	1	no	—
1282	#97	C₂²×D₅	1	1	yes	characteristic
1283	C₄×C₈	—	5	1	no	—
1284	C₄×C₈	—	5	1	no	—
1285	C₂²×C₅	—	2	1	no	—
1286	C₂²×C₅	—	2	1	no	—
1287	C₂²×C₅	—	2	1	no	—
1288	C₂²×C₅	—	2	1	no	—
1289	C₂²×C₅	—	2	1	no	—
1290	C₂²×C₅	—	2	1	no	—
1291	C₂²×C₅	—	4	1	no	—
1292	C₂²×C₅	—	4	1	no	—
1293	C₂²×C₅	—	4	1	no	—
1294	C₂²×C₅	C₂³×D₄	1	1	yes	characteristic
1295	C₂×D₅	—	2	1	no	—
1296	C₂×D₅	—	2	1	no	—
1297	C₂×D₅	—	4	1	no	—
1298	C₂×D₅	—	4	1	no	—
1299	C₂×D₅	—	4	1	no	—
1300	C₂×D₅	—	16	2	no	—
1301	C₂×D₅	#578	1	2	yes	—
1302	C₄×C₅	—	2	1	no	—
1303	C₄×C₅	—	2	2	no	—
1304	C₄×C₅	—	2	1	no	—
1305	C₄×C₅	—	2	1	no	—
1306	C₄×C₅	—	2	1	no	—
1307	C₄×C₅	—	4	1	no	—
1308	C₄×C₅	—	4	1	no	—
1309	C₄×C₅	—	4	1	no	—
1310	C₄×C₅	—	4	1	no	—
1311	C₄×C₅	—	4	1	no	—
1312	C₄×C₅	—	4	1	no	—
1313	C₄×C₅	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1314	C₄×C₅	#585	1	1	yes	characteristic
1315	Dic₅	—	2	1	no	—
1316	Dic₅	—	2	1	no	—
1317	Dic₅	—	2	1	no	—
1318	Dic₅	—	2	1	no	—
1319	Dic₅	—	2	1	no	—
1320	Dic₅	—	2	1	no	—
1321	Dic₅	—	2	1	no	—
1322	Dic₅	—	4	1	no	—
1323	Dic₅	—	4	1	no	—
1324	Dic₅	—	4	1	no	—
1325	Dic₅	—	4	1	no	—
1326	Dic₅	—	4	1	no	—
1327	Dic₅	—	4	1	no	—
1328	Dic₅	—	4	1	no	—
1329	C₂⁴	—	10	1	no	—
1330	#41	—	4	1	no	—
1331	#41	—	4	1	no	—
1332	#41	—	20	1	no	—
1333	#41	—	20	1	no	—
1334	C₂×Q₈	—	2	1	no	—
1335	C₂×Q₈	—	2	1	no	—
1336	C₂×Q₈	—	2	1	no	—
1337	C₂×Q₈	—	2	2	no	—
1338	C₂×Q₈	—	2	2	no	—
1339	C₂×Q₈	—	4	1	no	—
1340	C₂×Q₈	—	4	1	no	—
1341	C₂×Q₈	—	4	1	no	—
1342	C₂×Q₈	—	4	1	no	—
1343	C₂×Q₈	—	5	1	no	—
1344	C₂×Q₈	—	5	1	no	—
1345	C₂×Q₈	—	5	1	no	—
1346	C₂×Q₈	—	5	1	no	—
1347	C₂×Q₈	—	10	1	no	—
1348	C₂×Q₈	—	10	1	no	—
1349	C₂×Q₈	—	10	1	no	—
1350	C₂×Q₈	—	10	1	no	—
1351	C₂×Q₈	—	10	1	no	—
1352	C₂×Q₈	—	10	2	no	—
1353	C₂×Q₈	—	20	1	no	—
1354	C₂×Q₈	—	20	1	no	—
1355	C₂×Q₈	—	20	1	no	—
1356	C₂×Q₈	—	20	1	no	—
1357	C₂×Q₈	—	20	1	no	—
1358	C₂×Q₈	C₂³×D₅	1	1	yes	characteristic
1359	C₂×Q₈	C₂³×D₅	1	1	yes	characteristic
1360	C₂×Q₈	C₂³×D₅	1	1	yes	characteristic
1361	C₂×Q₈	C₂³×D₅	1	1	yes	characteristic
1362	C₂×Q₈	C₂³×D₅	1	1	yes	characteristic
1363	C₂×D₄	—	2	1	no	—
1364	C₂×D₄	—	2	1	no	—
1365	C₂×D₄	—	5	1	no	—
1366	C₂×D₄	—	5	1	no	—
1367	C₂×D₄	—	5	1	no	—
1368	C₂×D₄	—	10	1	no	—
1369	C₂×D₄	—	10	1	no	—
1370	C₂×D₄	—	10	1	no	—
1371	C₂×D₄	—	20	1	no	—
1372	C₂×D₄	—	20	1	no	—
1373	C₂×D₄	D₄×D₅	1	1	yes	characteristic
1374	C₂×D₄	C₂³×D₅	1	1	yes	characteristic
1375	C₂²×C₄	—	2	1	no	—
1376	C₂²×C₄	—	2	1	no	—
1377	C₂²×C₄	—	2	1	no	—
1378	C₂²×C₄	—	2	1	no	—
1379	C₂²×C₄	—	5	1	no	—
1380	C₂²×C₄	—	5	1	no	—
1381	C₂²×C₄	—	5	1	no	—
1382	C₂²×C₄	—	10	1	no	—
1383	C₂²×C₄	—	10	1	no	—
1384	C₂²×C₄	—	10	1	no	—
1385	C₂²×C₄	—	10	1	no	—
1386	C₂²×C₄	—	10	1	no	—
1387	C₂²×C₄	—	10	1	no	—
1388	C₂²×C₄	—	10	1	no	—
1389	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1390	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1391	Q₁₆	—	2	2	no	—
1392	Q₁₆	—	2	2	no	—
1393	Q₁₆	—	4	1	no	—
1394	Q₁₆	—	4	1	no	—
1395	Q₁₆	—	4	1	no	—
1396	Q₁₆	—	4	1	no	—
1397	Q₁₆	—	10	2	no	—
1398	Q₁₆	—	10	2	no	—
1399	Q₁₆	—	20	1	no	—
1400	Q₁₆	—	20	1	no	—
1401	Q₁₆	—	20	1	no	—
1402	Q₁₆	—	20	1	no	—
1403	Q₁₆	—	20	1	no	—
1404	Q₁₆	—	20	1	no	—
1405	Q₁₆	—	20	1	no	—
1406	Q₁₆	—	20	1	no	—
1407	SD₁₆	—	2	2	no	—
1408	SD₁₆	—	4	1	no	—
1409	SD₁₆	—	4	1	no	—
1410	SD₁₆	—	10	2	no	—
1411	SD₁₆	—	20	1	no	—
1412	SD₁₆	—	20	1	no	—
1413	SD₁₆	—	20	1	no	—
1414	SD₁₆	—	20	1	no	—
1415	M₁₆	—	4	1	no	—
1416	M₁₆	—	20	1	no	—
1417	C₂×C₈	—	4	1	no	—
1418	C₂×C₈	—	5	1	no	—
1419	C₂×C₈	—	5	1	no	—
1420	C₂×C₈	—	5	1	no	—
1421	C₂×C₈	—	5	1	no	—
1422	C₂×C₈	—	20	1	no	—
1423	C₂×C₈	—	20	1	no	—
1424	C₂×C₈	—	20	1	no	—
1425	C₂×C₈	C₂³×D₅	1	1	yes	characteristic
1426	C₂×C₈	C₂³×D₅	1	1	yes	characteristic
1427	C₂×C₈	C₂³×D₅	1	1	yes	characteristic
1428	C₂×C₈	C₂³×D₅	1	1	yes	characteristic
1429	C₄⋊C₄	—	2	1	no	—
1430	C₄⋊C₄	—	2	1	no	—
1431	C₄⋊C₄	—	2	1	no	—
1432	C₄⋊C₄	—	2	1	no	—
1433	C₄⋊C₄	—	2	1	no	—
1434	C₄⋊C₄	—	2	1	no	—
1435	C₄⋊C₄	—	2	1	no	—
1436	C₄⋊C₄	—	5	1	no	—
1437	C₄⋊C₄	—	5	1	no	—
1438	C₄⋊C₄	—	5	1	no	—
1439	C₄⋊C₄	—	5	1	no	—
1440	C₄⋊C₄	—	5	1	no	—
1441	C₄⋊C₄	—	5	1	no	—
1442	C₄⋊C₄	—	5	1	no	—
1443	C₄⋊C₄	—	5	1	no	—
1444	C₄⋊C₄	—	5	1	no	—
1445	C₄⋊C₄	—	5	1	no	—
1446	C₄⋊C₄	—	5	1	no	—
1447	C₄⋊C₄	—	5	1	no	—
1448	C₄⋊C₄	—	5	1	no	—
1449	C₄⋊C₄	—	10	1	no	—
1450	C₄⋊C₄	—	10	1	no	—
1451	C₄⋊C₄	—	10	1	no	—
1452	C₄⋊C₄	—	10	1	no	—
1453	C₄⋊C₄	—	10	1	no	—
1454	C₄⋊C₄	—	10	1	no	—
1455	C₄⋊C₄	—	10	1	no	—
1456	C₄⋊C₄	—	10	1	no	—
1457	C₄⋊C₄	—	10	1	no	—
1458	C₄⋊C₄	—	10	1	no	—
1459	C₄⋊C₄	—	10	1	no	—
1460	C₄⋊C₄	—	10	1	no	—
1461	C₄⋊C₄	—	10	1	no	—
1462	C₄⋊C₄	—	10	1	no	—
1463	C₄⋊C₄	—	10	1	no	—
1464	C₄⋊C₄	—	10	1	no	—
1465	C₄⋊C₄	—	10	1	no	—
1466	C₄⋊C₄	—	10	1	no	—
1467	C₄⋊C₄	—	10	1	no	—
1468	C₄⋊C₄	—	10	1	no	—
1469	C₄⋊C₄	—	10	1	no	—
1470	C₄⋊C₄	—	10	1	no	—
1471	C₄⋊C₄	—	10	1	no	—
1472	C₄⋊C₄	—	10	1	no	—
1473	C₄⋊C₄	—	10	1	no	—
1474	C₄⋊C₄	—	10	1	no	—
1475	C₄⋊C₄	—	10	1	no	—
1476	C₄⋊C₄	—	10	1	no	—
1477	C₄⋊C₄	—	10	1	no	—
1478	C₄⋊C₄	—	10	1	no	—
1479	C₄⋊C₄	—	10	1	no	—
1480	C₄⋊C₄	—	10	1	no	—
1481	C₄⋊C₄	—	10	1	no	—
1482	C₄⋊C₄	—	10	1	no	—
1483	C₄⋊C₄	—	10	1	no	—
1484	C₄⋊C₄	—	10	1	no	—
1485	C₄⋊C₄	D₄×D₅	1	1	yes	characteristic
1486	C₄⋊C₄	C₂³×D₅	1	1	yes	characteristic
1487	C₄⋊C₄	C₂³×D₅	1	1	yes	characteristic
1488	C₂²⋊C₄	—	2	1	no	—
1489	C₂²⋊C₄	—	2	1	no	—
1490	C₂²⋊C₄	—	2	1	no	—
1491	C₂²⋊C₄	—	2	1	no	—
1492	C₂²⋊C₄	—	2	1	no	—
1493	C₂²⋊C₄	—	2	1	no	—
1494	C₂²⋊C₄	—	5	1	no	—
1495	C₂²⋊C₄	—	5	1	no	—
1496	C₂²⋊C₄	—	5	1	no	—
1497	C₂²⋊C₄	—	5	1	no	—
1498	C₂²⋊C₄	—	5	1	no	—
1499	C₂²⋊C₄	—	5	1	no	—
1500	C₂²⋊C₄	—	5	1	no	—
1501	C₂²⋊C₄	—	5	1	no	—
1502	C₂²⋊C₄	—	10	1	no	—
1503	C₂²⋊C₄	—	10	1	no	—
1504	C₂²⋊C₄	—	10	1	no	—
1505	C₂²⋊C₄	—	10	1	no	—
1506	C₂²⋊C₄	—	10	1	no	—
1507	C₂²⋊C₄	—	10	1	no	—
1508	C₂²⋊C₄	—	10	1	no	—
1509	C₂²⋊C₄	—	10	1	no	—
1510	C₂²⋊C₄	—	10	1	no	—
1511	C₂²⋊C₄	—	10	1	no	—
1512	C₂²⋊C₄	—	10	1	no	—
1513	C₂²⋊C₄	—	10	1	no	—
1514	C₂²⋊C₄	—	10	1	no	—
1515	C₂²⋊C₄	—	10	1	no	—
1516	C₂²⋊C₄	—	10	1	no	—
1517	C₂²⋊C₄	—	10	1	no	—
1518	C₂²⋊C₄	—	10	1	no	—
1519	C₂²⋊C₄	—	10	1	no	—
1520	C₂²⋊C₄	—	10	1	no	—
1521	C₂²⋊C₄	—	10	1	no	—
1522	C₂²⋊C₄	—	10	1	no	—
1523	C₂²⋊C₄	—	10	1	no	—
1524	C₂²⋊C₄	D₄×D₅	1	1	yes	characteristic
1525	C₂²⋊C₄	D₄×D₅	1	1	yes	characteristic
1526	C₄²	—	2	1	no	—
1527	C₄²	—	2	1	no	—
1528	C₄²	—	5	1	no	—
1529	C₄²	—	5	1	no	—
1530	C₄²	—	5	1	no	—
1531	C₄²	—	5	1	no	—
1532	C₄²	—	5	1	no	—
1533	C₄²	—	10	1	no	—
1534	C₄²	—	10	1	no	—
1535	C₄²	—	10	1	no	—
1536	C₄²	—	10	1	no	—
1537	C₄²	—	10	1	no	—
1538	C₄²	—	10	1	no	—
1539	C₄²	—	10	1	no	—
1540	C₄²	—	10	1	no	—
1541	C₄²	—	10	1	no	—
1542	C₄²	—	10	1	no	—
1543	C₄²	—	10	1	no	—
1544	C₄²	—	10	1	no	—
1545	C₄²	—	10	1	no	—
1546	C₄²	—	10	1	no	—
1547	C₄²	C₂³×D₅	1	1	yes	characteristic
1548	C₂×C₅	—	4	1	no	—
1549	C₂×C₅	—	4	1	no	—
1550	C₂×C₅	—	8	1	no	—
1551	C₂×C₅	#3488	1	1	yes	characteristic
1552	C₂×C₅	C₂×#578	1	1	yes	characteristic
1553	C₂×C₅	#3586	1	1	yes	characteristic
1554	D₅	—	2	2	no	—
1555	D₅	—	8	1	no	—
1556	C₂³	—	2	1	no	—
1557	C₂³	—	5	1	no	—
1558	C₂³	—	10	1	no	—
1559	C₂³	—	20	2	no	—
1560	C₂³	—	40	1	no	—
1561	C₂³	—	40	1	no	—
1562	C₂³	C₂×D₄×D₅	1	1	yes	characteristic
1563	C₂³	C₂×D₄×D₅	1	1	yes	characteristic
1564	Q₈	—	2	1	no	—
1565	Q₈	—	2	1	no	—
1566	Q₈	—	2	1	no	—
1567	Q₈	—	2	1	no	—
1568	Q₈	—	2	1	no	—
1569	Q₈	—	2	1	no	—
1570	Q₈	—	2	1	no	—
1571	Q₈	—	2	1	no	—
1572	Q₈	—	2	1	no	—
1573	Q₈	—	4	2	no	—
1574	Q₈	—	4	2	no	—
1575	Q₈	—	8	1	no	—
1576	Q₈	—	10	1	no	—
1577	Q₈	—	10	1	no	—
1578	Q₈	—	10	1	no	—
1579	Q₈	—	10	1	no	—
1580	Q₈	—	10	1	no	—
1581	Q₈	—	10	1	no	—
1582	Q₈	—	20	1	no	—
1583	Q₈	—	20	2	no	—
1584	Q₈	—	20	2	no	—
1585	Q₈	—	40	1	no	—
1586	Q₈	—	40	1	no	—
1587	Q₈	—	40	1	no	—
1588	Q₈	#4144	1	2	yes	—
1589	D₄	—	2	1	no	—
1590	D₄	—	2	1	no	—
1591	D₄	—	4	1	no	—
1592	D₄	—	8	1	no	—
1593	D₄	—	8	1	no	—
1594	D₄	—	10	2	no	—
1595	D₄	—	10	2	no	—
1596	D₄	—	10	1	no	—
1597	D₄	—	10	1	no	—
1598	D₄	—	40	1	no	—
1599	D₄	—	40	1	no	—
1600	D₄	—	40	1	no	—
1601	C₂×C₄	—	2	1	no	—
1602	C₂×C₄	—	2	1	no	—
1603	C₂×C₄	—	2	1	no	—
1604	C₂×C₄	—	2	1	no	—
1605	C₂×C₄	—	2	1	no	—
1606	C₂×C₄	—	2	1	no	—
1607	C₂×C₄	—	2	1	no	—
1608	C₂×C₄	—	2	1	no	—
1609	C₂×C₄	—	2	1	no	—
1610	C₂×C₄	—	2	1	no	—
1611	C₂×C₄	—	2	1	no	—
1612	C₂×C₄	—	4	2	no	—
1613	C₂×C₄	—	4	2	no	—
1614	C₂×C₄	—	5	1	no	—
1615	C₂×C₄	—	5	1	no	—
1616	C₂×C₄	—	5	1	no	—
1617	C₂×C₄	—	5	1	no	—
1618	C₂×C₄	—	5	1	no	—
1619	C₂×C₄	—	5	1	no	—
1620	C₂×C₄	—	5	1	no	—
1621	C₂×C₄	—	8	1	no	—
1622	C₂×C₄	—	8	1	no	—
1623	C₂×C₄	—	10	2	no	—
1624	C₂×C₄	—	10	1	no	—
1625	C₂×C₄	—	10	1	no	—
1626	C₂×C₄	—	10	1	no	—
1627	C₂×C₄	—	10	1	no	—
1628	C₂×C₄	—	10	1	no	—
1629	C₂×C₄	—	10	1	no	—
1630	C₂×C₄	—	10	1	no	—
1631	C₂×C₄	—	10	1	no	—
1632	C₂×C₄	—	10	1	no	—
1633	C₂×C₄	—	20	1	no	—
1634	C₂×C₄	—	20	2	no	—
1635	C₂×C₄	—	20	2	no	—
1636	C₂×C₄	—	40	1	no	—
1637	C₂×C₄	—	40	1	no	—
1638	C₂×C₄	—	40	1	no	—
1639	C₂×C₄	—	40	1	no	—
1640	C₂×C₄	—	40	1	no	—
1641	C₂×C₄	C₂×D₄×D₅	1	1	yes	characteristic
1642	C₂×C₄	C₂×D₄×D₅	1	1	yes	characteristic
1643	C₂×C₄	C₂×D₄×D₅	1	1	yes	characteristic
1644	C₂×C₄	C₂×D₄×D₅	1	1	yes	characteristic
1645	C₂×C₄	C₂⁴×D₅	1	1	yes	characteristic
1646	C₈	—	2	1	no	—
1647	C₈	—	2	1	no	—
1648	C₈	—	2	1	no	—
1649	C₈	—	2	1	no	—
1650	C₈	—	10	1	no	—
1651	C₈	—	10	1	no	—
1652	C₈	—	10	1	no	—
1653	C₈	—	10	1	no	—
1654	C₅	#62020	1	1	yes	characteristic, complemented, Sylow
1655	C₂²	—	2	1	no	—
1656	C₂²	—	2	1	no	—
1657	C₂²	—	2	1	no	—
1658	C₂²	—	2	1	no	—
1659	C₂²	—	2	1	no	—
1660	C₂²	—	2	1	no	—
1661	C₂²	—	4	1	no	—
1662	C₂²	—	4	1	no	—
1663	C₂²	—	4	1	no	—
1664	C₂²	—	5	2	no	—
1665	C₂²	—	10	1	no	—
1666	C₂²	—	10	1	no	—
1667	C₂²	—	20	1	no	—
1668	C₂²	—	20	1	no	—
1669	C₂²	—	20	1	no	—
1670	C₂²	—	80	2	no	—
1671	C₂²	C₂²×D₄×D₅	1	1	yes	characteristic
1672	C₄	—	2	1	no	—
1673	C₄	—	2	1	no	—
1674	C₄	—	2	2	no	—
1675	C₄	—	2	1	no	—
1676	C₄	—	2	1	no	—
1677	C₄	—	4	1	no	—
1678	C₄	—	4	1	no	—
1679	C₄	—	4	1	no	—
1680	C₄	—	4	1	no	—
1681	C₄	—	4	1	no	—
1682	C₄	—	4	1	no	—
1683	C₄	—	10	1	no	—
1684	C₄	—	10	1	no	—
1685	C₄	—	10	1	no	—
1686	C₄	—	10	1	no	—
1687	C₄	—	10	1	no	—
1688	C₄	—	10	1	no	—
1689	C₄	—	10	1	no	—
1690	C₄	—	20	1	no	—
1691	C₄	—	20	1	no	—
1692	C₄	—	20	1	no	—
1693	C₄	—	20	1	no	—
1694	C₄	—	20	1	no	—
1695	C₄	—	20	1	no	—
1696	C₄	—	20	1	no	—
1697	C₄	C₂×#4144	1	1	yes	characteristic
1698	C₄	#66285	1	1	yes	characteristic
1699	C₂	—	4	1	no	—
1700	C₂	—	4	1	no	—
1701	C₂	—	8	1	no	—
1702	C₂	—	10	2	no	—
1703	C₂	—	40	1	no	—
1704	C₂	#10618508	1	1	yes	characteristic
1705	C₂	#10619098	1	1	yes	characteristic
1706	C₂	D₅×#578	1	1	yes	characteristic

	subgroup	G/H
center	C₂²	C₂²×D₄×D₅
commutator, cosocle	C₂×C₄×C₅	C₂⁵
Frattini	C₂×C₄	C₂⁴×D₅
Fitting	C₅×#3270	C₂
socle	C₂²×C₅	C₂³×D₄
prime radical	#10618632	C₂
hypercenter	#3270	D₅
hypocenter	C₅	#62020
LCS	G ▷ C₂×C₄×C₅ ▷ C₂×C₅ ▷ C₅
UCS	C₁ ◁ C₂² ◁ C₄×D₄ ◁ #3270

Complements

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

N	H ≅ G/N	type
1. #10618654	C₂	semidirect
3. C₅×#3270	C₂	semidirect
4. #10615718	C₂	semidirect
5. #10615701	C₂	semidirect
6. Q₁₆×C₂²⋊D₅	C₂	semidirect
7. #10615608	C₂	semidirect
8. #10615296	C₂	semidirect
9. #10615268	C₂	semidirect
10. #10613605	C₂	semidirect
11. #10613595	C₂	semidirect
12. #10612646	C₂	semidirect
13. #10612628	C₂	semidirect
14. #10612402	C₂	semidirect
15. #10612376	C₂	semidirect
16. D₅×#464	C₂	semidirect
17. #10612318	C₂	semidirect
18. #10612217	C₂	semidirect
19. #10612200	C₂	semidirect
20. #10612002	C₂	semidirect
21. #10611977	C₂	semidirect
22. #10611942	C₂	semidirect
23. #10611927	C₂	semidirect
24. #10611911	C₂	semidirect
25. #10611907	C₂	semidirect
26. #10611792	C₂	semidirect
27. #10611763	C₂	semidirect
28. #10611564	C₂	semidirect
29. #10611549	C₂	semidirect
30. #10611243	C₂	semidirect
31. #10611195	C₂	semidirect
33. C₂²×C₅×Q₁₆	C₂²	semidirect
34. C₅×D₄×Q₈	C₂²	semidirect
42. #66146	C₂²	semidirect
43. #66146	C₂²	semidirect
44. C₂²×#689	C₂²	semidirect
51. #66055	C₂²	semidirect
66. #65959	C₂²	semidirect
67. #65959	C₂²	semidirect
74. #65904	C₂²	semidirect
82. #65876	C₂²	semidirect
84. C₅×#470	C₂²	semidirect
87. C₅×#462	C₂²	semidirect
89. C₅×#451	C₂²	semidirect
90. C₅×#451	C₂²	semidirect
92. C₅×#441	C₂²	semidirect
93. C₅×#435	C₂²	semidirect
96. #65517	C₂²	semidirect
97. #65517	C₂²	semidirect
99. #65514	C₂²	semidirect
111. #65473	C₂²	semidirect
112. Q₁₆×Dic₅	C₂²	semidirect
113. #65471	C₂²	semidirect
114. #65471	C₂²	semidirect
115. #65471	C₂²	semidirect
116. #65471	C₂²	semidirect
117. #65471	C₂²	semidirect
118. #65471	C₂²	semidirect
119. #65471	C₂²	semidirect
120. #65471	C₂²	semidirect
121. #65470	C₂²	semidirect
122. #65470	C₂²	semidirect
136. #65409	C₂²	semidirect
137. #65408	C₂²	semidirect
138. #65405	C₂²	semidirect
141. #65391	C₂²	semidirect
142. #65379	C₂²	semidirect
146. #65341	C₂²	semidirect
147. #65340	C₂²	semidirect
148. #65339	C₂²	semidirect
151. #65334	C₂²	semidirect
154. #65319	C₂²	semidirect
155. #65319	C₂²	semidirect
157. #65310	C₂²	semidirect
158. #65300	C₂²	semidirect
161. #65146	C₂²	semidirect
162. #65143	C₂²	semidirect
163. #65139	C₂²	semidirect
166. #65117	C₂²	semidirect
176. #65086	C₂²	semidirect
177. #65086	C₂²	semidirect
178. #65085	C₂²	semidirect
179. #65083	C₂²	semidirect
180. #65083	C₂²	semidirect
181. #65082	C₂²	semidirect
182. #65082	C₂²	semidirect
183. #65080	C₂²	semidirect
184. #65079	C₂²	semidirect
185. #65078	C₂²	semidirect
191. #65028	C₂²	semidirect
196. #65012	C₂²	semidirect
197. #65009	C₂²	semidirect
198. #65009	C₂²	semidirect
199. #65005	C₂²	semidirect
202. #64990	C₂²	semidirect
500. #3270	D₅	semidirect
739. C₂²×Q₁₆	C₂×D₅	semidirect
760. D₄×Q₈	C₂×D₅	semidirect
815. #470	C₂×D₅	semidirect
853. #462	C₂×D₅	semidirect
868. #451	C₂×D₅	semidirect
869. #451	C₂×D₅	semidirect
881. #441	C₂×D₅	semidirect
891. #435	C₂×D₅	semidirect
1654. C₅	#62020	semidirect

Maximal subgroups

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

subgroup	index
#10618654	2
#10618632	2
C₅×#3270	2
#10615718	2
#10615701	2
Q₁₆×C₂²⋊D₅	2
#10615608	2
#10615296	2
#10615268	2
#10613605	2
#10613595	2
#10612646	2
#10612628	2
#10612402	2
#10612376	2
D₅×#464	2
#10612318	2
#10612217	2
#10612200	2
#10612002	2
#10611977	2
#10611942	2
#10611927	2
#10611911	2
#10611907	2
#10611792	2
#10611763	2
#10611564	2
#10611549	2
#10611243	2
#10611195	2
#62020	5