Subgroups — #12985102

Order 1280.

2096 conjugacy classes of subgroups.

The subgroup lattice has 1886 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#10619186	C₂	1	1	yes	maximal, characteristic
2	#10618260	C₂	1	1	yes	maximal, characteristic, complemented
3	C₅×#3009	C₂	1	1	yes	maximal, characteristic, complemented
4	#10615836	C₂	1	1	yes	maximal, characteristic, complemented
5	#10615728	C₂	1	1	yes	maximal, characteristic, complemented
6	#10615720	C₂	1	1	yes	maximal, characteristic, complemented
7	#10615597	C₂	1	1	yes	maximal, characteristic, complemented
8	SD₁₆×C₂²⋊D₅	C₂	1	1	yes	maximal, characteristic, complemented
9	#10615139	C₂	1	1	yes	maximal, characteristic, complemented
10	#10612006	C₂	1	1	yes	maximal, characteristic, complemented
11	#10611987	C₂	1	1	yes	maximal, characteristic, complemented
12	#10611978	C₂	1	1	yes	maximal, characteristic, complemented
13	#10611973	C₂	1	1	yes	maximal, characteristic, complemented
14	#10611959	C₂	1	1	yes	maximal, characteristic, complemented
15	D₅×#452	C₂	1	1	yes	maximal, characteristic, complemented
16	#10611948	C₂	1	1	yes	maximal, characteristic, complemented
17	#10611947	C₂	1	1	yes	maximal, characteristic, complemented
18	#10611902	C₂	1	1	yes	maximal, characteristic, complemented
19	#10611900	C₂	1	1	yes	maximal, characteristic, complemented
20	#10611895	C₂	1	1	yes	maximal, characteristic, complemented
21	#10611892	C₂	1	1	yes	maximal, characteristic, complemented
22	#10611883	C₂	1	1	yes	maximal, characteristic, complemented
23	#10611881	C₂	1	1	yes	maximal, characteristic, complemented
24	#10611873	C₂	1	1	yes	maximal, characteristic, complemented
25	#10611873	C₂	1	1	yes	maximal, characteristic, complemented
26	#10610670	C₂	1	1	yes	maximal, characteristic, complemented
27	#10610665	C₂	1	1	yes	maximal, characteristic, complemented
28	#10610589	C₂	1	1	yes	maximal, characteristic, complemented
29	#10610578	C₂	1	1	yes	maximal, characteristic, complemented
30	#10610412	C₂	1	1	yes	maximal, characteristic, complemented
31	#10610395	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂×C₅×H(5,𝔽₂)	C₂²	1	1	yes	characteristic
33	C₂×D₅×#41	C₂²	1	1	yes	characteristic
34	C₂×C₅×#137	C₂²	1	1	yes	characteristic, complemented
35	C₂²×C₅×SD₁₆	C₂²	1	1	yes	characteristic, complemented
36	C₅×#536	C₂²	1	1	yes	characteristic, complemented
37	#66168	C₂²	1	1	yes	characteristic
38	#66168	C₂²	1	1	yes	characteristic
39	#66167	—	2	1	no	—
40	#66167	C₂²	1	1	yes	characteristic
41	#66165	C₂²	1	1	yes	characteristic
42	#66165	C₂²	1	1	yes	characteristic
43	#66162	—	2	1	no	—
44	#66162	C₂²	1	1	yes	characteristic
45	#66161	C₂²	1	1	yes	characteristic
46	#66159	C₂²	1	1	yes	characteristic, complemented
47	C₂×#4097	C₂²	1	1	yes	characteristic, complemented
48	Q₈×C₂²⋊D₅	C₂²	1	1	yes	characteristic, complemented
49	Q₈×C₂²⋊D₅	C₂²	1	1	yes	characteristic, complemented
50	#66140	—	2	1	no	—
51	#66140	—	2	1	no	—
52	#66140	C₂²	1	1	yes	characteristic
53	#66140	C₂²	1	1	yes	characteristic
54	#66139	—	2	1	no	—
55	#66139	C₂²	1	1	yes	characteristic
56	D₄×C₂²⋊D₅	—	2	1	no	—
57	D₄×C₂²⋊D₅	—	2	1	no	—
58	D₄×C₂²⋊D₅	C₂²	1	1	yes	characteristic
59	D₄×C₂²⋊D₅	C₂²	1	1	yes	characteristic
60	C₂×#4084	—	2	1	no	—
61	C₂×#4084	C₂²	1	1	yes	characteristic
62	C₂²×#687	C₂²	1	1	yes	characteristic, complemented
63	C₂×#4064	C₂²	1	1	yes	characteristic, complemented
64	C₂×D₅×Q₁₆	C₂²	1	1	yes	characteristic, complemented
65	C₂×#4061	C₂²	1	1	yes	characteristic, complemented
66	C₂×D₅×SD₁₆	C₂²	1	1	yes	characteristic, complemented
67	#66063	—	2	1	no	—
68	#66063	—	2	1	no	—
69	#66013	—	2	1	no	—
70	#66006	—	2	1	no	—
71	#65994	—	2	1	no	—
72	#65994	—	2	1	no	—
73	#65993	—	2	1	no	—
74	#65985	—	2	1	no	—
75	#65973	C₂²	1	1	yes	characteristic, complemented
76	#65973	C₂²	1	1	yes	characteristic, complemented
77	#65966	C₂²	1	1	yes	characteristic, complemented
78	#65966	C₂²	1	1	yes	characteristic, complemented
79	D₅×C₂²⋊Q₈	C₂²	1	1	yes	characteristic, complemented
80	D₅×C₂²⋊Q₈	C₂²	1	1	yes	characteristic, complemented
81	#65959	C₂²	1	1	yes	characteristic, complemented
82	#65959	C₂²	1	1	yes	characteristic, complemented
83	#65863	C₂²	1	1	yes	characteristic, complemented
84	#65863	C₂²	1	1	yes	characteristic, complemented
85	C₅×#452	C₂²	1	1	yes	characteristic
86	C₅×#452	C₂²	1	1	yes	characteristic
87	C₅×#452	C₂²	1	1	yes	characteristic, complemented
88	C₅×#452	C₂²	1	1	yes	characteristic, complemented
89	C₅×#450	C₂²	1	1	yes	characteristic, complemented
90	C₅×#450	C₂²	1	1	yes	characteristic, complemented
91	C₅×#450	C₂²	1	1	yes	characteristic, complemented
92	C₅×#450	C₂²	1	1	yes	characteristic, complemented
93	C₅×#418	C₂²	1	1	yes	characteristic, complemented
94	C₅×#416	C₂²	1	1	yes	characteristic, complemented
95	C₅×#408	C₂²	1	1	yes	characteristic, complemented
96	#65528	C₂²	1	1	yes	characteristic
97	#65528	C₂²	1	1	yes	characteristic
98	#65528	C₂²	1	1	yes	characteristic, complemented
99	#65528	C₂²	1	1	yes	characteristic, complemented
100	#65523	C₂²	1	1	yes	characteristic, complemented
101	#65522	C₂²	1	1	yes	characteristic, complemented
102	#65517	C₂²	1	1	yes	characteristic, complemented
103	#65516	C₂²	1	1	yes	characteristic, complemented
104	#65507	C₂²	1	1	yes	characteristic, complemented
105	#65507	C₂²	1	1	yes	characteristic, complemented
106	#65507	C₂²	1	1	yes	characteristic, complemented
107	#65507	C₂²	1	1	yes	characteristic, complemented
108	#65504	C₂²	1	1	yes	characteristic, complemented
109	#65476	C₂²	1	1	yes	characteristic, complemented
110	#65475	C₂²	1	1	yes	characteristic, complemented
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	#65464	C₂²	1	1	yes	characteristic, complemented
116	#65464	C₂²	1	1	yes	characteristic, complemented
117	#65463	C₂²	1	1	yes	characteristic, complemented
118	#65463	C₂²	1	1	yes	characteristic, complemented
119	#65462	C₂²	1	1	yes	characteristic, complemented
120	#65460	C₂²	1	1	yes	characteristic, complemented
121	#65460	C₂²	1	1	yes	characteristic, complemented
122	#65459	C₂²	1	1	yes	characteristic, complemented
123	#65459	C₂²	1	1	yes	characteristic, complemented
124	#65459	C₂²	1	1	yes	characteristic, complemented
125	#65459	C₂²	1	1	yes	characteristic, complemented
126	#65458	C₂²	1	1	yes	characteristic, complemented
127	#65456	C₂²	1	1	yes	characteristic, complemented
128	#65456	C₂²	1	1	yes	characteristic, complemented
129	#65455	C₂²	1	1	yes	characteristic, complemented
130	#65455	C₂²	1	1	yes	characteristic, complemented
131	#65453	C₂²	1	1	yes	characteristic, complemented
132	#65452	C₂²	1	1	yes	characteristic, complemented
133	#65452	C₂²	1	1	yes	characteristic, complemented
134	#65451	C₂²	1	1	yes	characteristic, complemented
135	#65451	C₂²	1	1	yes	characteristic, complemented
136	SD₁₆×Dic₅	C₂²	1	1	yes	characteristic, complemented
137	#65426	C₂²	1	1	yes	characteristic, complemented
138	#65423	C₂²	1	1	yes	characteristic, complemented
139	#65417	C₂²	1	1	yes	characteristic, complemented
140	#65416	C₂²	1	1	yes	characteristic, complemented
141	#65405	C₂²	1	1	yes	characteristic, complemented
142	#65403	C₂²	1	1	yes	characteristic, complemented
143	#65400	C₂²	1	1	yes	characteristic, complemented
144	C₈×C₂²⋊D₅	C₂²	1	1	yes	characteristic, complemented
145	#65341	C₂²	1	1	yes	characteristic, complemented
146	#65340	C₂²	1	1	yes	characteristic, complemented
147	#65338	C₂²	1	1	yes	characteristic, complemented
148	#65337	C₂²	1	1	yes	characteristic, complemented
149	#65336	C₂²	1	1	yes	characteristic, complemented
150	#65336	C₂²	1	1	yes	characteristic, complemented
151	#65333	C₂²	1	1	yes	characteristic, complemented
152	#65332	C₂²	1	1	yes	characteristic, complemented
153	#65292	C₂²	1	1	yes	characteristic, complemented
154	#65285	C₂²	1	1	yes	characteristic, complemented
155	#65099	C₂²	1	1	yes	characteristic, complemented
156	#65097	C₂²	1	1	yes	characteristic, complemented
157	#65092	C₂²	1	1	yes	characteristic, complemented
158	D₅×#103	C₂²	1	1	yes	characteristic, complemented
159	#65088	C₂²	1	1	yes	characteristic, complemented
160	#65085	C₂²	1	1	yes	characteristic, complemented
161	#65079	C₂²	1	1	yes	characteristic, complemented
162	#65078	C₂²	1	1	yes	characteristic, complemented
163	#65072	C₂²	1	1	yes	characteristic, complemented
164	#65069	C₂²	1	1	yes	characteristic, complemented
165	#65069	C₂²	1	1	yes	characteristic, complemented
166	#65067	C₂²	1	1	yes	characteristic, complemented
167	#65067	C₂²	1	1	yes	characteristic, complemented
168	#65066	C₂²	1	1	yes	characteristic, complemented
169	#65066	C₂²	1	1	yes	characteristic, complemented
170	#65065	C₂²	1	1	yes	characteristic, complemented
171	#65063	C₂²	1	1	yes	characteristic, complemented
172	#65063	C₂²	1	1	yes	characteristic, complemented
173	#65060	C₂²	1	1	yes	characteristic, complemented
174	D₅×#102	C₂²	1	1	yes	characteristic, complemented
175	#65057	C₂²	1	1	yes	characteristic, complemented
176	#65057	C₂²	1	1	yes	characteristic, complemented
177	#65056	C₂²	1	1	yes	characteristic, complemented
178	#65056	C₂²	1	1	yes	characteristic, complemented
179	#65055	C₂²	1	1	yes	characteristic, complemented
180	#65053	C₂²	1	1	yes	characteristic, complemented
181	#65053	C₂²	1	1	yes	characteristic, complemented
182	#65052	C₂²	1	1	yes	characteristic, complemented
183	#65051	C₂²	1	1	yes	characteristic, complemented
184	#65051	C₂²	1	1	yes	characteristic, complemented
185	#65047	C₂²	1	1	yes	characteristic, complemented
186	#65046	C₂²	1	1	yes	characteristic, complemented
187	#65028	C₂²	1	1	yes	characteristic, complemented
188	#65027	C₂²	1	1	yes	characteristic, complemented
189	#65026	C₂²	1	1	yes	characteristic, complemented
190	#65022	C₂²	1	1	yes	characteristic, complemented
191	#65022	C₂²	1	1	yes	characteristic, complemented
192	#65019	C₂²	1	1	yes	characteristic, complemented
193	#65018	C₂²	1	1	yes	characteristic, complemented
194	#65017	C₂²	1	1	yes	characteristic, complemented
195	#65015	C₂²	1	1	yes	characteristic, complemented
196	#65014	C₂²	1	1	yes	characteristic, complemented
197	D₅×C₂²⋊C₈	C₂²	1	1	yes	characteristic, complemented
198	#65012	C₂²	1	1	yes	characteristic, complemented
199	#65011	C₂²	1	1	yes	characteristic, complemented
200	#65010	C₂²	1	1	yes	characteristic, complemented
201	#65009	C₂²	1	1	yes	characteristic, complemented
202	#65009	C₂²	1	1	yes	characteristic, complemented
203	#61618	—	5	1	no	maximal, Sylow
204	C₅×H(5,𝔽₂)	—	4	2	no	—
205	C₅×H(5,𝔽₂)	—	4	2	no	—
206	C₂×C₅×#41	—	2	1	no	—
207	C₂×C₅×#41	C₂³	1	1	yes	characteristic
208	C₂×C₅×#41	C₂³	1	1	yes	characteristic
209	C₂×C₅×#41	C₂³	1	1	yes	characteristic
210	C₂×C₅×#41	C₂³	1	1	yes	characteristic
211	C₂²×C₅×Q₈	C₂³	1	1	yes	characteristic
212	C₂²×C₅×D₄	—	2	1	no	—
213	C₂²×C₅×D₄	—	2	1	no	—
214	C₂²×C₅×D₄	—	2	1	no	—
215	C₂²×C₅×D₄	C₂³	1	1	yes	characteristic
216	C₂²×C₅×D₄	C₂³	1	1	yes	characteristic
217	C₂²×C₅×D₄	C₂³	1	1	yes	characteristic
218	C₂²×C₂²⋊D₅	—	2	1	no	—
219	C₂²×C₂²⋊D₅	—	2	1	no	—
220	C₂²×C₂²⋊D₅	—	2	1	no	—
221	D₅×#41	—	4	2	no	—
222	D₅×#41	—	4	2	no	—
223	C₂×#713	C₂³	1	1	yes	characteristic
224	C₂×Q₈×D₅	C₂³	1	1	yes	characteristic
225	C₂×Q₈×D₅	C₂³	1	1	yes	characteristic
226	C₂×Q₈×D₅	C₂³	1	1	yes	characteristic
227	C₂×#711	—	2	1	no	—
228	C₂×#711	C₂³	1	1	yes	characteristic
229	C₂×D₄×D₅	—	2	1	no	—
230	C₂×D₄×D₅	C₂³	1	1	yes	characteristic
231	C₂×#709	—	2	1	no	—
232	C₂×#709	C₂³	1	1	yes	characteristic
233	C₂²×C₄×D₅	—	2	1	no	—
234	C₂²×C₄×D₅	C₂³	1	1	yes	characteristic
235	C₂²×Dic₁₀	C₂³	1	1	yes	characteristic
236	C₅×#137	—	4	2	no	—
237	C₂×C₅×Q₁₆	C₂³	1	1	yes	characteristic
238	C₂×C₅×Q₁₆	C₂³	1	1	yes	characteristic
239	C₂×C₅×SD₁₆	—	4	2	no	—
240	C₂×C₅×SD₁₆	C₂³	1	1	yes	characteristic
241	C₂×C₅×SD₁₆	C₂³	1	1	yes	characteristic
242	C₂×C₅×SD₁₆	C₂³	1	1	yes	characteristic
243	C₂×C₅×SD₁₆	C₂³	1	1	yes	characteristic
244	C₂×C₅×SD₁₆	C₂³	1	1	yes	characteristic
245	C₂×C₅×SD₁₆	C₂³	1	1	yes	characteristic
246	C₂×C₅×M₁₆	C₂³	1	1	yes	characteristic
247	C₂²×C₅×C₈	C₂³	1	1	yes	characteristic
248	C₅×C₄⋊Q₈	—	2	1	no	—
249	C₅×#124	—	2	1	no	—
250	C₅×#123	—	2	1	no	—
251	C₅×#123	—	2	1	no	—
252	C₅×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
253	C₅×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
254	C₅×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
255	C₅×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
256	C₅×#117	C₂³	1	1	yes	characteristic
257	#4099	—	2	1	no	—
258	#4099	—	2	1	no	—
259	#4099	—	2	1	no	—
260	#4099	—	2	1	no	—
261	#4099	—	2	1	no	—
262	#4099	—	2	1	no	—
263	C₂×C₂²⋊Dic₅	—	2	1	no	—
264	C₂×C₂²⋊Dic₅	—	2	1	no	—
265	C₂×C₂²⋊Dic₅	—	2	1	no	—
266	#4097	—	4	2	no	—
267	#4092	—	2	1	no	—
268	#4092	—	2	1	no	—
269	#4092	—	2	1	no	—
270	#4092	D₄	1	1	yes	characteristic
271	#4092	D₄	1	1	yes	characteristic
272	#4092	C₂³	1	1	yes	characteristic
273	#4092	C₂³	1	1	yes	characteristic
274	Q₈×Dic₅	C₂³	1	1	yes	characteristic
275	Q₈×Dic₅	C₂³	1	1	yes	characteristic
276	Q₈×Dic₅	C₂³	1	1	yes	characteristic
277	Q₈×Dic₅	C₂³	1	1	yes	characteristic
278	#4090	—	2	1	no	—
279	#4090	—	2	1	no	—
280	#4090	—	2	1	no	—
281	#4090	C₂³	1	1	yes	characteristic
282	#4090	C₂³	1	1	yes	characteristic
283	C₂×#689	C₂³	1	1	yes	characteristic
284	C₂×#689	C₂³	1	1	yes	characteristic
285	C₂×#689	C₂³	1	1	yes	characteristic
286	C₂×#689	C₂³	1	1	yes	characteristic
287	C₂×#688	C₂³	1	1	yes	characteristic
288	C₂×#688	C₂³	1	1	yes	characteristic
289	#4086	—	2	1	no	—
290	#4086	—	2	1	no	—
291	#4086	C₂³	1	1	yes	characteristic
292	#4086	C₂³	1	1	yes	characteristic
293	#4085	—	2	1	no	—
294	#4085	—	2	1	no	—
295	#4085	—	2	1	no	—
296	#4085	—	2	1	no	—
297	#4085	—	2	1	no	—
298	#4085	—	2	1	no	—
299	#4084	—	2	1	no	—
300	#4084	—	2	1	no	—
301	#4084	—	2	1	no	—
302	#4084	—	2	1	no	—
303	#4084	—	2	1	no	—
304	#4084	—	2	1	no	—
305	#4084	—	2	1	no	—
306	#4084	—	2	1	no	—
307	#4084	—	2	1	no	—
308	#4084	D₄	1	1	yes	characteristic
309	#4084	D₄	1	1	yes	characteristic
310	#4084	C₂³	1	1	yes	characteristic
311	#4084	C₂³	1	1	yes	characteristic
312	#4084	C₂³	1	1	yes	characteristic
313	#4084	C₂³	1	1	yes	characteristic
314	#4083	—	2	1	no	—
315	#4083	—	2	1	no	—
316	#4083	D₄	1	1	yes	characteristic
317	#4083	D₄	1	1	yes	characteristic
318	#4082	—	2	1	no	—
319	#4082	—	2	1	no	—
320	#4082	—	2	1	no	—
321	#4082	C₂³	1	1	yes	characteristic
322	#4082	C₂³	1	1	yes	characteristic
323	#4081	—	2	1	no	—
324	#4081	—	2	1	no	—
325	#4081	—	2	1	no	—
326	#4081	—	2	1	no	—
327	#4081	D₄	1	1	yes	characteristic
328	#4081	D₄	1	1	yes	characteristic
329	D₄×Dic₅	—	2	1	no	—
330	D₄×Dic₅	—	2	1	no	—
331	D₄×Dic₅	C₂³	1	1	yes	characteristic
332	D₄×Dic₅	C₂³	1	1	yes	characteristic
333	C₂×#687	—	4	2	no	—
334	C₂×#687	C₂³	1	1	yes	characteristic
335	C₂×#687	C₂³	1	1	yes	characteristic
336	C₂×#687	C₂³	1	1	yes	characteristic
337	C₂×#687	C₂³	1	1	yes	characteristic
338	C₂×#687	C₂³	1	1	yes	characteristic
339	C₂×#687	C₂³	1	1	yes	characteristic
340	#4076	—	2	1	no	—
341	#4076	—	2	1	no	—
342	#4076	C₂³	1	1	yes	characteristic
343	#4076	C₂³	1	1	yes	characteristic
344	C₄×C₂²⋊D₅	—	2	1	no	—
345	C₄×C₂²⋊D₅	—	2	1	no	—
346	C₄×C₂²⋊D₅	—	2	1	no	—
347	C₄×C₂²⋊D₅	—	2	1	no	—
348	C₄×C₂²⋊D₅	—	2	1	no	—
349	C₄×C₂²⋊D₅	—	2	1	no	—
350	C₄×C₂²⋊D₅	C₂³	1	1	yes	characteristic
351	C₄×C₂²⋊D₅	C₂³	1	1	yes	characteristic
352	C₄×C₂²⋊D₅	C₂³	1	1	yes	characteristic
353	C₄×C₂²⋊D₅	C₂³	1	1	yes	characteristic
354	#4072	—	2	1	no	—
355	#4072	C₂³	1	1	yes	characteristic
356	#4072	C₂³	1	1	yes	characteristic
357	C₂×C₄⋊Dic₅	—	2	1	no	—
358	C₂×C₄⋊Dic₅	C₂³	1	1	yes	characteristic
359	#4070	—	2	1	no	—
360	#4070	—	2	1	no	—
361	#4070	—	2	1	no	—
362	#4070	—	2	1	no	—
363	#4070	C₂³	1	1	yes	characteristic
364	#4070	C₂³	1	1	yes	characteristic
365	#4070	C₂³	1	1	yes	characteristic
366	#4070	C₂³	1	1	yes	characteristic
367	#4070	C₂³	1	1	yes	characteristic
368	#4070	C₂³	1	1	yes	characteristic
369	C₂×#681	C₂³	1	1	yes	characteristic
370	C₂²×#168	C₂³	1	1	yes	characteristic
371	#4064	—	4	2	no	—
372	D₅×Q₁₆	—	4	2	no	—
373	#4061	—	4	2	no	—
374	D₅×SD₁₆	—	4	2	no	—
375	C₂×Dic₂₀	C₂³	1	1	yes	characteristic
376	C₂×Dic₂₀	C₂³	1	1	yes	characteristic
377	C₂×#677	C₂³	1	1	yes	characteristic
378	C₂×#677	C₂³	1	1	yes	characteristic
379	C₂×#676	C₂³	1	1	yes	characteristic
380	C₂×#676	C₂³	1	1	yes	characteristic
381	C₂×C₈×D₅	C₂³	1	1	yes	characteristic
382	C₂×C₈×D₅	C₂³	1	1	yes	characteristic
383	#4043	C₂³	1	1	yes	characteristic
384	#4043	C₂³	1	1	yes	characteristic
385	#4042	—	2	1	no	—
386	#4042	—	2	1	no	—
387	#4042	—	2	1	no	—
388	#4042	—	2	1	no	—
389	#4038	—	2	1	no	—
390	#4038	—	2	1	no	—
391	D₅×C₄⋊C₄	—	2	1	no	—
392	D₅×C₄⋊C₄	—	2	1	no	—
393	D₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
394	D₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
395	#4036	—	2	1	no	—
396	#4036	—	2	1	no	—
397	#4036	C₂³	1	1	yes	characteristic
398	#4036	C₂³	1	1	yes	characteristic
399	#4035	—	2	1	no	—
400	#4035	—	2	1	no	—
401	#4035	—	2	1	no	—
402	#4035	—	2	1	no	—
403	#4034	—	2	1	no	—
404	#4034	—	2	1	no	—
405	#4033	C₂³	1	1	yes	characteristic
406	#4033	C₂³	1	1	yes	characteristic
407	#4029	—	2	1	no	—
408	#4029	—	2	1	no	—
409	#4029	—	2	1	no	—
410	#4029	—	2	1	no	—
411	#4027	—	2	1	no	—
412	#4027	—	2	1	no	—
413	D₅×C₂²⋊C₄	—	2	1	no	—
414	D₅×C₂²⋊C₄	—	2	1	no	—
415	#4025	—	2	1	no	—
416	#4025	—	2	1	no	—
417	#4025	—	2	1	no	—
418	#4025	—	2	1	no	—
419	#4025	—	2	1	no	—
420	#4025	—	2	1	no	—
421	#4025	—	2	1	no	—
422	#4025	—	2	1	no	—
423	#4024	—	2	1	no	—
424	#4024	—	2	1	no	—
425	#4024	—	2	1	no	—
426	#4024	—	2	1	no	—
427	#4018	—	2	1	no	—
428	#4018	—	2	1	no	—
429	#4016	—	2	1	no	—
430	#4016	—	2	1	no	—
431	C₅×#103	C₂³	1	1	yes	characteristic
432	C₅×#103	C₂³	1	1	yes	characteristic
433	C₅×#102	C₂³	1	1	yes	characteristic
434	C₅×#102	C₂³	1	1	yes	characteristic
435	C₅×#102	C₂³	1	1	yes	characteristic
436	C₅×#102	C₂³	1	1	yes	characteristic
437	C₅×#102	C₂³	1	1	yes	characteristic
438	C₅×#102	C₂³	1	1	yes	characteristic
439	C₅×C₂²⋊C₈	C₂³	1	1	yes	characteristic
440	C₅×C₂²⋊C₈	C₂³	1	1	yes	characteristic
441	C₅×C₂²⋊C₈	C₂³	1	1	yes	characteristic
442	C₅×C₂²⋊C₈	C₂³	1	1	yes	characteristic
443	#3967	C₂³	1	1	yes	characteristic
444	#3967	C₂³	1	1	yes	characteristic
445	#3967	C₂³	1	1	yes	characteristic
446	#3967	C₂³	1	1	yes	characteristic
447	#3967	C₂³	1	1	yes	characteristic
448	#3967	C₂³	1	1	yes	characteristic
449	#3964	C₂³	1	1	yes	characteristic
450	#3964	C₂³	1	1	yes	characteristic
451	#3964	C₂³	1	1	yes	characteristic
452	#3964	C₂³	1	1	yes	characteristic
453	#3964	C₂³	1	1	yes	characteristic
454	#3964	C₂³	1	1	yes	characteristic
455	C₂²⋊#168	C₂³	1	1	yes	characteristic
456	C₂²⋊#168	C₂³	1	1	yes	characteristic
457	C₂²⋊#168	C₂³	1	1	yes	characteristic
458	C₂²⋊#168	C₂³	1	1	yes	characteristic
459	#3953	C₂³	1	1	yes	characteristic
460	#3953	C₂³	1	1	yes	characteristic
461	#3952	C₂³	1	1	yes	characteristic
462	#3952	C₂³	1	1	yes	characteristic
463	#3952	C₂³	1	1	yes	characteristic
464	#3952	C₂³	1	1	yes	characteristic
465	#3950	C₂³	1	1	yes	characteristic
466	#3950	C₂³	1	1	yes	characteristic
467	#3949	C₂³	1	1	yes	characteristic
468	#3949	C₂³	1	1	yes	characteristic
469	#3948	C₂³	1	1	yes	characteristic
470	#3948	C₂³	1	1	yes	characteristic
471	#3948	C₂³	1	1	yes	characteristic
472	#3948	C₂³	1	1	yes	characteristic
473	#3948	C₂³	1	1	yes	characteristic
474	#3948	C₂³	1	1	yes	characteristic
475	#3947	C₂³	1	1	yes	characteristic
476	#3947	C₂³	1	1	yes	characteristic
477	#3946	C₂³	1	1	yes	characteristic
478	#3946	C₂³	1	1	yes	characteristic
479	#3946	C₂³	1	1	yes	characteristic
480	#3946	C₂³	1	1	yes	characteristic
481	C₈×Dic₅	C₂³	1	1	yes	characteristic
482	C₈×Dic₅	C₂³	1	1	yes	characteristic
483	#3942	C₂³	1	1	yes	characteristic
484	#3942	C₂³	1	1	yes	characteristic
485	#3941	C₂³	1	1	yes	characteristic
486	#3941	C₂³	1	1	yes	characteristic
487	#3940	C₂³	1	1	yes	characteristic
488	#3940	C₂³	1	1	yes	characteristic
489	#3939	C₂³	1	1	yes	characteristic
490	#3939	C₂³	1	1	yes	characteristic
491	#3538	—	5	1	no	—
492	#3488	—	5	1	no	—
493	#3323	—	5	1	no	—
494	#3323	—	5	1	no	—
495	#3317	—	5	1	no	—
496	#3317	—	5	1	no	—
497	#3310	—	5	1	no	—
498	#3310	—	5	1	no	—
499	#3300	—	5	1	no	—
500	#3300	—	5	1	no	—
501	D₄×SD₁₆	—	5	1	no	—
502	D₄×SD₁₆	—	5	1	no	—
503	#3278	—	5	1	no	—
504	#3278	—	5	1	no	—
505	#3270	—	5	1	no	—
506	#3270	—	5	1	no	—
507	#3266	—	5	1	no	—
508	#3266	—	5	1	no	—
509	#3222	—	5	1	no	—
510	#3222	—	5	1	no	—
511	#3201	—	5	1	no	—
512	#3201	—	5	1	no	—
513	#3193	—	5	1	no	—
514	#3187	—	5	1	no	—
515	#3120	—	5	1	no	—
516	#3120	—	5	1	no	—
517	#3009	—	5	1	no	—
518	#3009	D₅	1	1	yes	characteristic, complemented
519	#3007	—	5	1	no	—
520	C₂×#452	—	5	1	no	—
521	#2976	—	5	1	no	—
522	C₂⁴×C₅	—	2	1	no	—
523	C₂⁴×C₅	—	2	1	no	—
524	C₂⁴×C₅	—	2	1	no	—
525	C₂³×D₅	—	2	1	no	—
526	C₂³×D₅	C₂×D₄	1	1	yes	characteristic
527	C₅×#41	—	2	2	no	—
528	C₅×#41	—	2	2	no	—
529	C₅×#41	—	2	2	no	—
530	C₅×#41	—	2	2	no	—
531	C₅×#41	—	4	1	no	—
532	C₅×#41	—	4	1	no	—
533	C₅×#41	—	4	1	no	—
534	C₅×#41	—	4	1	no	—
535	C₅×#41	—	4	4	no	—
536	C₂×C₅×Q₈	—	2	1	no	—
537	C₂×C₅×Q₈	—	4	1	no	—
538	C₂×C₅×Q₈	—	4	1	no	—
539	C₂×C₅×Q₈	C₂×D₄	1	1	yes	characteristic
540	C₂×C₅×Q₈	C₂⁴	1	1	yes	characteristic
541	C₂×C₅×Q₈	C₂⁴	1	1	yes	characteristic
542	C₂×C₅×Q₈	C₂⁴	1	1	yes	characteristic
543	C₂×C₅×D₄	—	2	1	no	—
544	C₂×C₅×D₄	—	2	2	no	—
545	C₂×C₅×D₄	—	2	2	no	—
546	C₂×C₅×D₄	—	2	1	no	—
547	C₂×C₅×D₄	—	2	1	no	—
548	C₂×C₅×D₄	—	2	1	no	—
549	C₂×C₅×D₄	—	2	1	no	—
550	C₂×C₅×D₄	—	2	1	no	—
551	C₂×C₅×D₄	—	4	1	no	—
552	C₂×C₅×D₄	—	4	1	no	—
553	C₂×C₅×D₄	—	4	1	no	—
554	C₂×C₅×D₄	—	4	1	no	—
555	C₂×C₅×D₄	—	4	4	no	—
556	C₂×C₅×D₄	—	4	4	no	—
557	C₂×C₅×D₄	—	4	4	no	—
558	C₂×C₅×D₄	C₂×D₄	1	1	yes	characteristic
559	C₂×C₅×D₄	C₂×D₄	1	1	yes	characteristic
560	C₂×C₅×D₄	C₂×D₄	1	1	yes	characteristic
561	C₂×C₅×D₄	C₂⁴	1	1	yes	characteristic
562	C₂×C₅×D₄	C₂⁴	1	1	yes	characteristic
563	C₂×C₅×D₄	C₂⁴	1	1	yes	characteristic
564	C₂²×C₄×C₅	—	2	1	no	—
565	C₂²×C₄×C₅	—	2	1	no	—
566	C₂²×C₄×C₅	—	2	1	no	—
567	C₂²×C₄×C₅	—	2	1	no	—
568	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
569	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
570	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
571	C₂×C₂²⋊D₅	—	2	1	no	—
572	C₂×C₂²⋊D₅	—	2	1	no	—
573	C₂×C₂²⋊D₅	—	2	1	no	—
574	C₂×C₂²⋊D₅	—	2	1	no	—
575	C₂×C₂²⋊D₅	—	2	1	no	—
576	C₂×C₂²⋊D₅	—	2	1	no	—
577	C₂×C₂²⋊D₅	—	2	1	no	—
578	C₂×C₂²⋊D₅	—	2	1	no	—
579	C₂×C₂²⋊D₅	—	2	1	no	—
580	C₂×C₂²⋊D₅	—	2	1	no	—
581	C₂×C₂²⋊D₅	—	2	1	no	—
582	C₂×C₂²⋊D₅	—	2	1	no	—
583	C₂×C₂²⋊D₅	—	2	1	no	—
584	C₂×C₂²⋊D₅	—	8	2	no	—
585	C₂×C₂²⋊D₅	—	8	2	no	—
586	C₂×C₂²⋊D₅	—	8	2	no	—
587	C₂×C₂²⋊D₅	C₂×D₄	1	1	yes	characteristic
588	C₂×C₂²⋊D₅	C₂×D₄	1	1	yes	characteristic
589	C₂×C₂²⋊D₅	C₂×D₄	1	1	yes	characteristic
590	C₂×C₂²⋊D₅	C₂×D₄	1	1	yes	characteristic
591	C₂²×Dic₅	—	2	1	no	—
592	C₂²×Dic₅	—	2	1	no	—
593	C₂²×Dic₅	—	2	1	no	—
594	C₂²×Dic₅	—	2	1	no	—
595	C₂²×Dic₅	—	2	1	no	—
596	C₂²×Dic₅	C₂×D₄	1	1	yes	characteristic
597	#713	—	2	2	no	—
598	#713	—	4	1	no	—
599	Q₈×D₅	—	2	2	no	—
600	Q₈×D₅	—	4	1	no	—
601	Q₈×D₅	—	4	1	no	—
602	Q₈×D₅	—	4	1	no	—
603	Q₈×D₅	—	4	1	no	—
604	Q₈×D₅	—	4	1	no	—
605	#711	—	2	2	no	—
606	#711	—	4	1	no	—
607	#711	—	4	4	no	—
608	D₄×D₅	—	2	2	no	—
609	D₄×D₅	—	4	1	no	—
610	D₄×D₅	—	4	4	no	—
611	#709	—	4	1	no	—
612	#709	—	4	1	no	—
613	#709	—	4	4	no	—
614	C₂×D₂₀	—	2	1	no	—
615	C₂×D₂₀	C₂⁴	1	1	yes	characteristic
616	C₂×C₄×D₅	—	2	1	no	—
617	C₂×C₄×D₅	—	2	1	no	—
618	C₂×C₄×D₅	—	2	1	no	—
619	C₂×C₄×D₅	—	2	1	no	—
620	C₂×C₄×D₅	—	2	1	no	—
621	C₂×C₄×D₅	—	2	1	no	—
622	C₂×C₄×D₅	—	2	1	no	—
623	C₂×C₄×D₅	—	4	1	no	—
624	C₂×C₄×D₅	—	4	1	no	—
625	C₂×C₄×D₅	—	4	4	no	—
626	C₂×C₄×D₅	C₂×D₄	1	1	yes	characteristic
627	C₂×C₄×D₅	C₂×D₄	1	1	yes	characteristic
628	C₂×C₄×D₅	C₂⁴	1	1	yes	characteristic
629	C₂×C₄×D₅	C₂⁴	1	1	yes	characteristic
630	C₂×Dic₁₀	—	2	1	no	—
631	C₂×Dic₁₀	—	2	1	no	—
632	C₂×Dic₁₀	—	2	1	no	—
633	C₂×Dic₁₀	—	2	1	no	—
634	C₂×Dic₁₀	—	4	1	no	—
635	C₂×Dic₁₀	—	4	1	no	—
636	C₂×Dic₁₀	C₂⁴	1	1	yes	characteristic
637	C₂×Dic₁₀	C₂⁴	1	1	yes	characteristic
638	C₂×Dic₁₀	C₂⁴	1	1	yes	characteristic
639	C₅×Q₁₆	—	2	2	no	—
640	C₅×Q₁₆	—	2	2	no	—
641	C₅×SD₁₆	—	2	2	no	—
642	C₅×SD₁₆	—	2	2	no	—
643	C₅×SD₁₆	—	4	1	no	—
644	C₅×SD₁₆	—	4	1	no	—
645	C₅×SD₁₆	—	4	1	no	—
646	C₅×SD₁₆	—	4	1	no	—
647	C₅×M₁₆	—	4	1	no	—
648	C₂×C₅×C₈	—	4	1	no	—
649	C₂×C₅×C₈	C₂⁴	1	1	yes	characteristic
650	C₂×C₅×C₈	C₂⁴	1	1	yes	characteristic
651	C₂×C₅×C₈	C₂⁴	1	1	yes	characteristic
652	C₂×C₅×C₈	C₂⁴	1	1	yes	characteristic
653	C₅×C₄⋊C₄	—	2	1	no	—
654	C₅×C₄⋊C₄	—	2	1	no	—
655	C₅×C₄⋊C₄	—	2	1	no	—
656	C₅×C₄⋊C₄	—	2	1	no	—
657	C₅×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
658	C₅×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
659	C₅×C₂²⋊C₄	—	2	1	no	—
660	C₅×C₂²⋊C₄	—	2	1	no	—
661	C₅×C₂²⋊C₄	—	2	1	no	—
662	C₅×C₂²⋊C₄	—	2	1	no	—
663	C₅×C₂²⋊C₄	—	2	1	no	—
664	C₄²×C₅	—	2	1	no	—
665	C₂²⋊Dic₅	—	2	1	no	—
666	C₂²⋊Dic₅	—	2	1	no	—
667	C₂²⋊Dic₅	—	2	1	no	—
668	C₂²⋊Dic₅	—	2	1	no	—
669	C₂²⋊Dic₅	—	2	1	no	—
670	C₂²⋊Dic₅	—	2	1	no	—
671	C₂²⋊Dic₅	—	2	1	no	—
672	C₂²⋊Dic₅	—	2	1	no	—
673	C₂²⋊Dic₅	—	2	1	no	—
674	C₂²⋊Dic₅	—	2	1	no	—
675	C₂²⋊Dic₅	—	2	1	no	—
676	C₂²⋊Dic₅	—	2	1	no	—
677	C₂²⋊Dic₅	—	2	1	no	—
678	C₂²⋊Dic₅	—	2	1	no	—
679	C₂²⋊Dic₅	—	2	1	no	—
680	C₂²⋊Dic₅	—	2	1	no	—
681	C₂²⋊Dic₅	—	2	1	no	—
682	C₂²⋊Dic₅	C₂×D₄	1	1	yes	characteristic
683	C₂²⋊Dic₅	C₂×D₄	1	1	yes	characteristic
684	C₂²⋊Dic₅	C₂×D₄	1	1	yes	characteristic
685	C₂²⋊Dic₅	C₂×D₄	1	1	yes	characteristic
686	C₂²⋊Dic₅	C₂×D₄	1	1	yes	characteristic
687	C₂²⋊Dic₅	C₂×D₄	1	1	yes	characteristic
688	#689	—	2	2	no	—
689	#689	—	2	2	no	—
690	#689	—	4	1	no	—
691	#689	—	4	1	no	—
692	#688	—	4	1	no	—
693	#688	—	4	1	no	—
694	#687	—	2	2	no	—
695	#687	—	2	2	no	—
696	#687	—	4	1	no	—
697	#687	—	4	1	no	—
698	#687	—	4	1	no	—
699	#687	—	4	1	no	—
700	#685	—	2	1	no	—
701	#685	—	2	1	no	—
702	#685	—	2	1	no	—
703	#685	—	2	1	no	—
704	#685	—	2	1	no	—
705	#685	—	2	1	no	—
706	#685	C₂×D₄	1	1	yes	characteristic
707	#685	C₂×D₄	1	1	yes	characteristic
708	#685	C₂×D₄	1	1	yes	characteristic
709	#685	C₂×D₄	1	1	yes	characteristic
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	C₄⋊Dic₅	C₂⁴	1	1	yes	characteristic
725	#683	—	2	1	no	—
726	#683	—	2	1	no	—
727	#683	—	2	1	no	—
728	#683	—	2	1	no	—
729	#683	—	2	1	no	—
730	#683	—	2	1	no	—
731	#683	—	2	1	no	—
732	#683	—	2	1	no	—
733	#683	—	2	1	no	—
734	#683	—	2	1	no	—
735	#683	—	2	1	no	—
736	#683	—	2	1	no	—
737	#683	—	2	1	no	—
738	#683	—	2	1	no	—
739	#683	—	2	1	no	—
740	#683	—	2	1	no	—
741	#683	—	2	1	no	—
742	#683	—	2	1	no	—
743	#683	C₂×D₄	1	1	yes	characteristic
744	#683	C₂×D₄	1	1	yes	characteristic
745	#683	C₂×D₄	1	1	yes	characteristic
746	#683	C₂×D₄	1	1	yes	characteristic
747	C₄×Dic₅	—	2	1	no	—
748	C₄×Dic₅	—	2	1	no	—
749	C₄×Dic₅	—	2	1	no	—
750	C₄×Dic₅	—	2	1	no	—
751	C₄×Dic₅	—	2	1	no	—
752	C₄×Dic₅	—	2	1	no	—
753	C₄×Dic₅	—	2	1	no	—
754	C₄×Dic₅	C₂⁴	1	1	yes	characteristic
755	C₄×Dic₅	C₂⁴	1	1	yes	characteristic
756	#681	—	4	1	no	—
757	C₂×#168	—	4	1	no	—
758	C₂×#168	C₂⁴	1	1	yes	characteristic
759	C₂×#168	C₂⁴	1	1	yes	characteristic
760	C₂×#168	C₂⁴	1	1	yes	characteristic
761	C₂×#168	C₂⁴	1	1	yes	characteristic
762	Dic₂₀	—	4	1	no	—
763	Dic₂₀	—	4	1	no	—
764	#677	—	4	1	no	—
765	#677	—	4	1	no	—
766	#676	—	4	1	no	—
767	#676	—	4	1	no	—
768	C₈×D₅	—	4	1	no	—
769	C₈×D₅	—	4	1	no	—
770	C₂×H(5,𝔽₂)	C₂×D₅	1	1	yes	characteristic
771	C₂²×#41	—	5	1	no	—
772	C₂×#137	—	5	1	no	—
773	C₂×#137	—	5	1	no	—
774	C₂×#137	—	5	1	no	—
775	C₂×#137	C₂×D₅	1	1	yes	characteristic, complemented
776	C₂²×Q₁₆	—	5	1	no	—
777	C₂²×SD₁₆	—	5	1	no	—
778	C₂²×SD₁₆	—	5	1	no	—
779	C₂²×SD₁₆	C₂×D₅	1	1	yes	characteristic, complemented
780	#563	—	10	1	no	—
781	#563	—	10	1	no	—
782	#552	—	5	1	no	—
783	#552	—	5	1	no	—
784	#552	—	5	1	no	—
785	#552	—	5	1	no	—
786	#551	—	10	1	no	—
787	#551	—	10	1	no	—
788	#550	—	5	1	no	—
789	#550	—	5	1	no	—
790	D₄×Q₈	—	5	1	no	—
791	D₄×Q₈	—	5	1	no	—
792	D₄×Q₈	—	5	1	no	—
793	D₄×Q₈	—	5	1	no	—
794	#548	—	5	1	no	—
795	#548	—	5	1	no	—
796	#546	—	5	1	no	—
797	#546	—	5	1	no	—
798	#546	—	10	1	no	—
799	#546	—	10	1	no	—
800	D₄²	—	5	1	no	—
801	D₄²	—	5	1	no	—
802	D₄²	—	10	1	no	—
803	D₄²	—	10	1	no	—
804	#544	—	10	1	no	—
805	#544	—	10	1	no	—
806	#541	—	5	1	no	—
807	#541	—	5	1	no	—
808	#539	—	10	1	no	—
809	#539	—	10	1	no	—
810	#537	—	5	1	no	—
811	#537	—	10	1	no	—
812	#536	—	5	1	no	—
813	#536	C₂×D₅	1	1	yes	characteristic, complemented
814	#535	—	5	1	no	—
815	#535	—	10	1	no	—
816	#525	—	5	1	no	—
817	#525	—	10	1	no	—
818	C₂×C₂²⋊Q₈	—	5	1	no	—
819	C₂×C₂²⋊Q₈	—	5	1	no	—
820	C₂×#121	—	5	1	no	—
821	C₂×#121	—	10	1	no	—
822	#520	—	5	1	no	—
823	#497	—	5	1	no	—
824	#497	—	5	1	no	—
825	#492	—	5	1	no	—
826	#492	—	5	1	no	—
827	#490	—	5	1	no	—
828	#490	—	5	1	no	—
829	#488	—	5	1	no	—
830	#488	—	5	1	no	—
831	#485	—	5	1	no	—
832	#485	—	5	1	no	—
833	#484	—	5	1	no	—
834	#484	—	5	1	no	—
835	#483	—	5	1	no	—
836	#483	—	5	1	no	—
837	#482	—	5	1	no	—
838	#482	—	5	1	no	—
839	#481	—	5	1	no	—
840	#481	—	5	1	no	—
841	#480	—	5	1	no	—
842	#480	—	5	1	no	—
843	#479	—	5	1	no	—
844	#479	—	5	1	no	—
845	#478	—	5	1	no	—
846	#478	—	5	1	no	—
847	#470	—	5	1	no	—
848	#470	—	5	1	no	—
849	#468	—	5	1	no	—
850	#468	—	5	1	no	—
851	#468	—	5	1	no	—
852	#468	—	5	1	no	—
853	#468	—	5	1	no	—
854	#468	—	5	1	no	—
855	#467	—	5	1	no	—
856	#467	—	5	1	no	—
857	#465	—	5	1	no	—
858	#465	—	5	1	no	—
859	#465	—	5	1	no	—
860	#465	—	5	1	no	—
861	#465	—	5	1	no	—
862	#465	—	5	1	no	—
863	#464	—	5	1	no	—
864	#464	—	5	1	no	—
865	#464	—	5	1	no	—
866	#464	—	5	1	no	—
867	#462	—	5	1	no	—
868	#462	—	5	1	no	—
869	#461	—	5	1	no	—
870	#461	—	5	1	no	—
871	#460	—	5	1	no	—
872	#460	—	5	1	no	—
873	#460	—	5	1	no	—
874	#460	—	5	1	no	—
875	#452	—	5	1	no	—
876	#452	—	5	1	no	—
877	#452	—	5	1	no	—
878	#452	—	5	1	no	—
879	#452	—	5	1	no	—
880	#452	—	5	1	no	—
881	#452	—	5	1	no	—
882	#452	—	5	1	no	—
883	#452	—	5	1	no	—
884	#452	—	5	1	no	—
885	#452	—	5	1	no	—
886	#452	—	5	1	no	—
887	#452	C₂×D₅	1	1	yes	characteristic
888	#452	C₂×D₅	1	1	yes	characteristic
889	#452	C₂×D₅	1	1	yes	characteristic, complemented
890	#452	C₂×D₅	1	1	yes	characteristic, complemented
891	#451	—	5	1	no	—
892	#451	—	5	1	no	—
893	#451	—	5	1	no	—
894	#451	—	5	1	no	—
895	#450	—	5	1	no	—
896	#450	—	5	1	no	—
897	#450	—	5	1	no	—
898	#450	—	5	1	no	—
899	#450	—	5	1	no	—
900	#450	—	5	1	no	—
901	#450	C₂×D₅	1	1	yes	characteristic, complemented
902	#450	C₂×D₅	1	1	yes	characteristic, complemented
903	#450	C₂×D₅	1	1	yes	characteristic, complemented
904	#450	C₂×D₅	1	1	yes	characteristic, complemented
905	#448	—	5	1	no	—
906	#448	—	5	1	no	—
907	#448	—	5	1	no	—
908	#448	—	5	1	no	—
909	#448	—	5	1	no	—
910	#448	—	5	1	no	—
911	#441	—	5	1	no	—
912	#441	—	5	1	no	—
913	#440	—	5	1	no	—
914	#440	—	5	1	no	—
915	C₄×Q₁₆	—	5	1	no	—
916	C₄×Q₁₆	—	5	1	no	—
917	C₄×SD₁₆	—	5	1	no	—
918	C₄×SD₁₆	—	5	1	no	—
919	#436	—	5	1	no	—
920	#436	—	5	1	no	—
921	#435	—	5	1	no	—
922	#435	—	5	1	no	—
923	#435	—	5	1	no	—
924	#435	—	5	1	no	—
925	C₈×D₄	—	5	1	no	—
926	C₈×D₄	—	5	1	no	—
927	#433	—	5	1	no	—
928	#433	—	5	1	no	—
929	#418	—	5	1	no	—
930	#418	C₂×D₅	1	1	yes	characteristic, complemented
931	#417	—	5	1	no	—
932	#417	—	5	1	no	—
933	#416	—	5	1	no	—
934	#416	C₂×D₅	1	1	yes	characteristic, complemented
935	C₂×#103	—	5	1	no	—
936	C₂×#102	—	5	1	no	—
937	#408	—	5	1	no	—
938	#408	C₂×D₅	1	1	yes	characteristic, complemented
939	#407	—	5	1	no	—
940	C₂×C₂²⋊C₈	—	5	1	no	—
941	C₂³×C₅	—	2	1	no	—
942	C₂³×C₅	—	2	1	no	—
943	C₂³×C₅	—	2	1	no	—
944	C₂³×C₅	—	4	2	no	—
945	C₂³×C₅	—	4	2	no	—
946	C₂³×C₅	—	4	2	no	—
947	C₂³×C₅	—	8	1	no	—
948	C₂³×C₅	—	8	1	no	—
949	C₂³×C₅	—	8	1	no	—
950	C₂³×C₅	—	8	1	no	—
951	C₂³×C₅	—	8	1	no	—
952	C₂³×C₅	—	8	1	no	—
953	C₂³×C₅	C₂²×D₄	1	1	yes	characteristic
954	C₂³×C₅	C₂²×D₄	1	1	yes	characteristic
955	C₂³×C₅	C₂²×D₄	1	1	yes	characteristic
956	C₂²×D₅	—	2	2	no	—
957	C₂²×D₅	—	2	1	no	—
958	C₂²×D₅	—	4	1	no	—
959	C₂²×D₅	—	4	1	no	—
960	C₂²×D₅	—	4	2	no	—
961	C₂²×D₅	—	4	2	no	—
962	C₂²×D₅	—	8	1	no	—
963	C₂²×D₅	C₂²×D₄	1	1	yes	characteristic
964	C₂²×D₅	C₂²×D₄	1	1	yes	characteristic
965	C₅×Q₈	—	2	1	no	—
966	C₅×Q₈	—	2	1	no	—
967	C₅×Q₈	—	2	1	no	—
968	C₅×Q₈	—	2	1	no	—
969	C₅×Q₈	—	2	1	no	—
970	C₅×Q₈	—	4	1	no	—
971	C₅×Q₈	—	8	1	no	—
972	C₅×Q₈	H(5,𝔽₂)	1	2	yes	—
973	C₅×D₄	—	2	4	no	—
974	C₅×D₄	—	2	1	no	—
975	C₅×D₄	—	2	1	no	—
976	C₅×D₄	—	2	1	no	—
977	C₅×D₄	—	2	1	no	—
978	C₅×D₄	—	2	1	no	—
979	C₅×D₄	—	4	1	no	—
980	C₅×D₄	—	4	1	no	—
981	C₅×D₄	—	4	1	no	—
982	C₅×D₄	—	4	2	no	—
983	C₅×D₄	—	4	2	no	—
984	C₅×D₄	—	4	2	no	—
985	C₅×D₄	—	4	2	no	—
986	C₅×D₄	—	4	2	no	—
987	C₅×D₄	H(5,𝔽₂)	1	2	yes	—
988	C₂×C₄×C₅	—	2	4	no	—
989	C₂×C₄×C₅	—	2	1	no	—
990	C₂×C₄×C₅	—	2	1	no	—
991	C₂×C₄×C₅	—	2	1	no	—
992	C₂×C₄×C₅	—	2	1	no	—
993	C₂×C₄×C₅	—	2	1	no	—
994	C₂×C₄×C₅	—	2	1	no	—
995	C₂×C₄×C₅	—	2	1	no	—
996	C₂×C₄×C₅	—	2	1	no	—
997	C₂×C₄×C₅	—	2	1	no	—
998	C₂×C₄×C₅	—	2	1	no	—
999	C₂×C₄×C₅	—	2	1	no	—
1000	C₂×C₄×C₅	—	4	2	no	—
1001	C₂×C₄×C₅	—	4	2	no	—
1002	C₂×C₄×C₅	—	8	1	no	—
1003	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
1004	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
1005	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
1006	C₂×C₄×C₅	C₂⁵	1	1	yes	characteristic
1007	C₂²⋊D₅	—	2	2	no	—
1008	C₂²⋊D₅	—	2	2	no	—
1009	C₂²⋊D₅	—	4	1	no	—
1010	C₂²⋊D₅	—	4	1	no	—
1011	C₂²⋊D₅	—	4	2	no	—
1012	C₂²⋊D₅	—	4	2	no	—
1013	C₂²⋊D₅	—	4	2	no	—
1014	C₂²⋊D₅	—	4	2	no	—
1015	C₂²⋊D₅	—	4	2	no	—
1016	C₂²⋊D₅	—	8	1	no	—
1017	C₂²⋊D₅	—	8	1	no	—
1018	C₂²⋊D₅	—	8	1	no	—
1019	C₂²⋊D₅	—	8	1	no	—
1020	C₂²⋊D₅	—	8	1	no	—
1021	C₂²⋊D₅	—	8	1	no	—
1022	C₂²⋊D₅	—	8	1	no	—
1023	C₂²⋊D₅	—	8	1	no	—
1024	C₂×Dic₅	—	2	1	no	—
1025	C₂×Dic₅	—	2	1	no	—
1026	C₂×Dic₅	—	2	1	no	—
1027	C₂×Dic₅	—	2	1	no	—
1028	C₂×Dic₅	—	2	1	no	—
1029	C₂×Dic₅	—	2	1	no	—
1030	C₂×Dic₅	—	2	1	no	—
1031	C₂×Dic₅	—	4	1	no	—
1032	C₂×Dic₅	—	4	2	no	—
1033	C₂×Dic₅	—	8	1	no	—
1034	C₂×Dic₅	—	8	1	no	—
1035	C₂×Dic₅	—	8	1	no	—
1036	C₂×Dic₅	—	8	1	no	—
1037	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
1038	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
1039	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
1040	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
1041	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
1042	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
1043	D₂₀	—	2	1	no	—
1044	D₂₀	—	2	1	no	—
1045	D₂₀	—	4	2	no	—
1046	C₄×D₅	—	2	1	no	—
1047	C₄×D₅	—	2	1	no	—
1048	C₄×D₅	—	2	1	no	—
1049	C₄×D₅	—	2	1	no	—
1050	C₄×D₅	—	4	1	no	—
1051	C₄×D₅	—	4	1	no	—
1052	C₄×D₅	—	4	2	no	—
1053	C₄×D₅	—	4	2	no	—
1054	C₄×D₅	—	4	2	no	—
1055	C₄×D₅	—	4	2	no	—
1056	C₄×D₅	—	4	2	no	—
1057	C₄×D₅	—	8	1	no	—
1058	C₄×D₅	—	8	1	no	—
1059	Dic₁₀	—	2	1	no	—
1060	Dic₁₀	—	2	1	no	—
1061	Dic₁₀	—	2	1	no	—
1062	Dic₁₀	—	2	1	no	—
1063	Dic₁₀	—	2	1	no	—
1064	Dic₁₀	—	2	1	no	—
1065	Dic₁₀	—	4	2	no	—
1066	Dic₁₀	—	8	1	no	—
1067	Dic₁₀	—	8	1	no	—
1068	Dic₁₀	—	8	1	no	—
1069	C₅×C₈	—	2	1	no	—
1070	C₅×C₈	—	2	1	no	—
1071	C₅×C₈	—	2	1	no	—
1072	C₅×C₈	—	2	1	no	—
1073	#168	—	2	1	no	—
1074	#168	—	2	1	no	—
1075	#168	—	2	1	no	—
1076	#168	—	2	1	no	—
1077	H(5,𝔽₂)	—	4	2	no	—
1078	H(5,𝔽₂)	—	4	2	no	—
1079	C₂×#41	—	2	1	no	—
1080	C₂×#41	—	5	1	no	—
1081	C₂×#41	—	5	1	no	—
1082	C₂×#41	—	5	1	no	—
1083	C₂×#41	—	10	1	no	—
1084	C₂×#41	—	10	1	no	—
1085	C₂×#41	—	20	2	no	—
1086	C₂×#41	—	20	2	no	—
1087	C₂×#41	C₂²×D₅	1	1	yes	characteristic
1088	C₂×#41	C₂²×D₅	1	1	yes	characteristic
1089	C₂×#41	C₂²×D₅	1	1	yes	characteristic
1090	C₂×#41	C₂²×D₅	1	1	yes	characteristic
1091	C₂²×Q₈	—	5	1	no	—
1092	C₂²×Q₈	—	5	1	no	—
1093	C₂²×Q₈	—	5	1	no	—
1094	C₂²×Q₈	—	5	1	no	—
1095	C₂²×Q₈	C₂²×D₅	1	1	yes	characteristic
1096	C₂²×D₄	—	2	1	no	—
1097	C₂²×D₄	—	2	1	no	—
1098	C₂²×D₄	—	2	1	no	—
1099	C₂²×D₄	—	5	1	no	—
1100	C₂²×D₄	—	10	1	no	—
1101	C₂²×D₄	—	10	1	no	—
1102	C₂²×D₄	—	10	1	no	—
1103	C₂²×D₄	—	10	1	no	—
1104	C₂²×D₄	C₂²×D₅	1	1	yes	characteristic
1105	C₂²×D₄	C₂²×D₅	1	1	yes	characteristic
1106	C₂²×D₄	C₂²×D₅	1	1	yes	characteristic
1107	C₂³×C₄	—	5	1	no	—
1108	C₂³×C₄	—	10	1	no	—
1109	#137	—	4	2	no	—
1110	#137	—	20	2	no	—
1111	#137	—	20	2	no	—
1112	#137	—	20	2	no	—
1113	C₂×Q₁₆	—	5	1	no	—
1114	C₂×Q₁₆	—	5	1	no	—
1115	C₂×Q₁₆	—	5	1	no	—
1116	C₂×Q₁₆	—	5	1	no	—
1117	C₂×Q₁₆	—	5	1	no	—
1118	C₂×Q₁₆	—	5	1	no	—
1119	C₂×Q₁₆	—	20	2	no	—
1120	C₂×Q₁₆	C₂²×D₅	1	1	yes	characteristic
1121	C₂×Q₁₆	C₂²×D₅	1	1	yes	characteristic
1122	C₂×SD₁₆	—	4	2	no	—
1123	C₂×SD₁₆	—	5	1	no	—
1124	C₂×SD₁₆	—	5	1	no	—
1125	C₂×SD₁₆	—	5	1	no	—
1126	C₂×SD₁₆	—	5	1	no	—
1127	C₂×SD₁₆	—	5	1	no	—
1128	C₂×SD₁₆	—	5	1	no	—
1129	C₂×SD₁₆	—	5	1	no	—
1130	C₂×SD₁₆	—	5	1	no	—
1131	C₂×SD₁₆	—	5	1	no	—
1132	C₂×SD₁₆	—	5	1	no	—
1133	C₂×SD₁₆	—	20	2	no	—
1134	C₂×SD₁₆	—	20	2	no	—
1135	C₂×SD₁₆	C₂²×D₅	1	1	yes	characteristic
1136	C₂×SD₁₆	C₂²×D₅	1	1	yes	characteristic
1137	C₂×SD₁₆	C₂²×D₅	1	1	yes	characteristic
1138	C₂×SD₁₆	C₂²×D₅	1	1	yes	characteristic
1139	C₂×SD₁₆	C₂²×D₅	1	1	yes	characteristic
1140	C₂×SD₁₆	C₂²×D₅	1	1	yes	characteristic
1141	C₂×M₁₆	—	5	1	no	—
1142	C₂×M₁₆	—	5	1	no	—
1143	C₂×M₁₆	—	5	1	no	—
1144	C₂×M₁₆	C₂²×D₅	1	1	yes	characteristic
1145	C₂²×C₈	—	5	1	no	—
1146	C₂²×C₈	—	5	1	no	—
1147	C₂²×C₈	—	5	1	no	—
1148	C₂²×C₈	C₂²×D₅	1	1	yes	characteristic
1149	C₄⋊Q₈	—	2	1	no	—
1150	C₄⋊Q₈	—	5	1	no	—
1151	C₄⋊Q₈	—	5	1	no	—
1152	C₄⋊Q₈	—	10	1	no	—
1153	C₄⋊Q₈	—	10	1	no	—
1154	C₄⋊Q₈	—	10	1	no	—
1155	C₄⋊Q₈	—	10	1	no	—
1156	C₄⋊Q₈	—	10	1	no	—
1157	#127	—	5	1	no	—
1158	#127	—	5	1	no	—
1159	#127	—	10	1	no	—
1160	#127	—	10	1	no	—
1161	#126	—	10	1	no	—
1162	#126	—	10	1	no	—
1163	#126	—	10	1	no	—
1164	#126	—	10	1	no	—
1165	#126	—	10	1	no	—
1166	#126	—	10	1	no	—
1167	#126	—	10	1	no	—
1168	#126	—	10	1	no	—
1169	#125	—	5	1	no	—
1170	#125	—	5	1	no	—
1171	#125	—	10	1	no	—
1172	#125	—	10	1	no	—
1173	#125	—	10	1	no	—
1174	#125	—	10	1	no	—
1175	#125	—	10	1	no	—
1176	#125	—	10	1	no	—
1177	#125	—	10	1	no	—
1178	#125	—	10	1	no	—
1179	#124	—	2	1	no	—
1180	#124	—	5	1	no	—
1181	#124	—	5	1	no	—
1182	#124	—	10	1	no	—
1183	#124	—	10	1	no	—
1184	#124	—	10	1	no	—
1185	#123	—	2	1	no	—
1186	#123	—	2	1	no	—
1187	#123	—	5	1	no	—
1188	#123	—	5	1	no	—
1189	#123	—	10	1	no	—
1190	#123	—	10	1	no	—
1191	#123	—	10	1	no	—
1192	#123	—	10	1	no	—
1193	#123	—	10	1	no	—
1194	#123	—	10	1	no	—
1195	#123	—	10	1	no	—
1196	#123	—	10	1	no	—
1197	C₂²⋊Q₈	—	5	1	no	—
1198	C₂²⋊Q₈	—	5	1	no	—
1199	C₂²⋊Q₈	—	5	1	no	—
1200	C₂²⋊Q₈	—	5	1	no	—
1201	C₂²⋊Q₈	—	5	1	no	—
1202	C₂²⋊Q₈	—	5	1	no	—
1203	C₂²⋊Q₈	—	5	1	no	—
1204	C₂²⋊Q₈	—	5	1	no	—
1205	C₂²⋊Q₈	—	5	1	no	—
1206	C₂²⋊Q₈	—	5	1	no	—
1207	C₂²⋊Q₈	—	5	1	no	—
1208	C₂²⋊Q₈	—	5	1	no	—
1209	C₂²⋊Q₈	—	10	1	no	—
1210	C₂²⋊Q₈	—	10	1	no	—
1211	C₂²⋊Q₈	—	10	1	no	—
1212	C₂²⋊Q₈	—	10	1	no	—
1213	C₂²⋊Q₈	—	10	1	no	—
1214	C₂²⋊Q₈	—	10	1	no	—
1215	C₂²⋊Q₈	—	10	1	no	—
1216	C₂²⋊Q₈	—	10	1	no	—
1217	C₂²⋊Q₈	—	10	1	no	—
1218	C₂²⋊Q₈	—	10	1	no	—
1219	C₂²⋊Q₈	—	10	1	no	—
1220	C₂²⋊Q₈	—	10	1	no	—
1221	C₂²⋊Q₈	—	10	1	no	—
1222	C₂²⋊Q₈	—	10	1	no	—
1223	C₂²⋊Q₈	—	10	1	no	—
1224	C₂²⋊Q₈	C₂²×D₅	1	1	yes	characteristic
1225	C₂²⋊Q₈	C₂²×D₅	1	1	yes	characteristic
1226	C₂²⋊Q₈	C₂²×D₅	1	1	yes	characteristic
1227	C₂²⋊Q₈	C₂²×D₅	1	1	yes	characteristic
1228	#121	—	5	1	no	—
1229	#121	—	5	1	no	—
1230	#121	—	5	1	no	—
1231	#121	—	5	1	no	—
1232	#121	—	5	1	no	—
1233	#121	—	5	1	no	—
1234	#121	—	5	1	no	—
1235	#121	—	5	1	no	—
1236	#121	—	10	1	no	—
1237	#121	—	10	1	no	—
1238	#121	—	10	1	no	—
1239	#121	—	10	1	no	—
1240	#121	—	10	1	no	—
1241	#121	—	10	1	no	—
1242	#121	—	10	1	no	—
1243	#121	—	10	1	no	—
1244	#121	—	10	1	no	—
1245	#121	—	10	1	no	—
1246	#121	—	10	1	no	—
1247	#121	—	10	1	no	—
1248	#121	—	10	1	no	—
1249	#121	—	10	1	no	—
1250	#121	—	10	1	no	—
1251	#121	—	10	1	no	—
1252	#121	—	10	1	no	—
1253	#120	—	5	1	no	—
1254	#120	—	5	1	no	—
1255	#120	—	10	1	no	—
1256	#120	—	10	1	no	—
1257	#120	—	10	1	no	—
1258	#120	—	10	1	no	—
1259	#120	—	10	1	no	—
1260	#120	—	10	1	no	—
1261	#120	—	10	1	no	—
1262	#120	—	10	1	no	—
1263	C₄×Q₈	—	5	1	no	—
1264	C₄×Q₈	—	5	1	no	—
1265	C₄×Q₈	—	5	1	no	—
1266	C₄×Q₈	—	5	1	no	—
1267	C₄×Q₈	—	5	1	no	—
1268	C₄×Q₈	—	5	1	no	—
1269	C₄×D₄	—	5	1	no	—
1270	C₄×D₄	—	5	1	no	—
1271	C₄×D₄	—	5	1	no	—
1272	C₄×D₄	—	5	1	no	—
1273	C₄×D₄	—	5	1	no	—
1274	C₄×D₄	—	5	1	no	—
1275	C₄×D₄	—	10	1	no	—
1276	C₄×D₄	—	10	1	no	—
1277	C₄×D₄	—	10	1	no	—
1278	C₄×D₄	—	10	1	no	—
1279	C₄×D₄	—	10	1	no	—
1280	C₄×D₄	—	10	1	no	—
1281	C₄×D₄	—	10	1	no	—
1282	C₄×D₄	—	10	1	no	—
1283	C₄×D₄	—	10	1	no	—
1284	C₄×D₄	—	10	1	no	—
1285	#117	—	5	1	no	—
1286	#117	—	5	1	no	—
1287	#117	—	10	1	no	—
1288	#117	—	10	1	no	—
1289	#117	—	10	1	no	—
1290	#117	—	10	1	no	—
1291	#117	—	10	1	no	—
1292	#117	C₂²×D₅	1	1	yes	characteristic
1293	C₂×C₄⋊C₄	—	5	1	no	—
1294	C₂×C₄⋊C₄	—	5	1	no	—
1295	C₂×C₄⋊C₄	—	5	1	no	—
1296	C₂×C₄⋊C₄	—	10	1	no	—
1297	C₂×C₄⋊C₄	—	10	1	no	—
1298	C₂×C₄⋊C₄	—	10	1	no	—
1299	C₂×C₂²⋊C₄	—	10	1	no	—
1300	C₂×C₂²⋊C₄	—	10	1	no	—
1301	C₂×C₂²⋊C₄	—	10	1	no	—
1302	C₂×C₂²⋊C₄	—	10	1	no	—
1303	C₂×C₂²⋊C₄	—	10	1	no	—
1304	#107	—	5	1	no	—
1305	#107	—	5	1	no	—
1306	#107	—	5	1	no	—
1307	#107	—	5	1	no	—
1308	#106	—	5	1	no	—
1309	#106	—	5	1	no	—
1310	#106	—	5	1	no	—
1311	#106	—	5	1	no	—
1312	C₄⋊C₈	—	5	1	no	—
1313	C₄⋊C₈	—	5	1	no	—
1314	C₄⋊C₈	—	5	1	no	—
1315	C₄⋊C₈	—	5	1	no	—
1316	#103	—	5	1	no	—
1317	#103	—	5	1	no	—
1318	#103	—	5	1	no	—
1319	#103	—	5	1	no	—
1320	#103	—	5	1	no	—
1321	#103	—	5	1	no	—
1322	#103	—	5	1	no	—
1323	#103	—	5	1	no	—
1324	#103	—	5	1	no	—
1325	#103	—	5	1	no	—
1326	#103	—	5	1	no	—
1327	#103	—	5	1	no	—
1328	#103	—	5	1	no	—
1329	#103	—	5	1	no	—
1330	#103	C₂²×D₅	1	1	yes	characteristic
1331	#103	C₂²×D₅	1	1	yes	characteristic
1332	#102	—	5	1	no	—
1333	#102	—	5	1	no	—
1334	#102	—	5	1	no	—
1335	#102	—	5	1	no	—
1336	#102	—	5	1	no	—
1337	#102	—	5	1	no	—
1338	#102	—	5	1	no	—
1339	#102	—	5	1	no	—
1340	#102	—	5	1	no	—
1341	#102	—	5	1	no	—
1342	#102	C₂²×D₅	1	1	yes	characteristic
1343	#102	C₂²×D₅	1	1	yes	characteristic
1344	#102	C₂²×D₅	1	1	yes	characteristic
1345	#102	C₂²×D₅	1	1	yes	characteristic
1346	#102	C₂²×D₅	1	1	yes	characteristic
1347	#102	C₂²×D₅	1	1	yes	characteristic
1348	C₂²⋊C₈	—	5	1	no	—
1349	C₂²⋊C₈	—	5	1	no	—
1350	C₂²⋊C₈	—	5	1	no	—
1351	C₂²⋊C₈	—	5	1	no	—
1352	C₂²⋊C₈	—	5	1	no	—
1353	C₂²⋊C₈	—	5	1	no	—
1354	C₂²⋊C₈	—	5	1	no	—
1355	C₂²⋊C₈	—	5	1	no	—
1356	C₂²⋊C₈	C₂²×D₅	1	1	yes	characteristic
1357	C₂²⋊C₈	C₂²×D₅	1	1	yes	characteristic
1358	C₂²⋊C₈	C₂²×D₅	1	1	yes	characteristic
1359	C₂²⋊C₈	C₂²×D₅	1	1	yes	characteristic
1360	#97	—	5	1	no	—
1361	#97	—	5	1	no	—
1362	C₄×C₈	—	5	1	no	—
1363	C₄×C₈	—	5	1	no	—
1364	C₂²×C₅	—	2	1	no	—
1365	C₂²×C₅	—	2	1	no	—
1366	C₂²×C₅	—	2	1	no	—
1367	C₂²×C₅	—	2	1	no	—
1368	C₂²×C₅	—	2	2	no	—
1369	C₂²×C₅	—	2	1	no	—
1370	C₂²×C₅	—	2	1	no	—
1371	C₂²×C₅	—	2	1	no	—
1372	C₂²×C₅	—	2	1	no	—
1373	C₂²×C₅	—	2	1	no	—
1374	C₂²×C₅	—	4	1	no	—
1375	C₂²×C₅	—	4	1	no	—
1376	C₂²×C₅	—	4	1	no	—
1377	C₂²×C₅	—	4	1	no	—
1378	C₂²×C₅	—	4	1	no	—
1379	C₂²×C₅	—	4	1	no	—
1380	C₂²×C₅	—	4	1	no	—
1381	C₂²×C₅	—	4	1	no	—
1382	C₂²×C₅	—	16	2	no	—
1383	C₂²×C₅	—	16	2	no	—
1384	C₂²×C₅	—	16	2	no	—
1385	C₂²×C₅	C₂³×D₄	1	1	yes	characteristic
1386	C₂×D₅	—	2	1	no	—
1387	C₂×D₅	—	2	1	no	—
1388	C₂×D₅	—	2	1	no	—
1389	C₂×D₅	—	2	1	no	—
1390	C₂×D₅	—	2	1	no	—
1391	C₂×D₅	—	4	1	no	—
1392	C₂×D₅	—	4	1	no	—
1393	C₂×D₅	—	4	1	no	—
1394	C₂×D₅	—	8	2	no	—
1395	C₂×D₅	—	8	4	no	—
1396	C₂×D₅	#577	1	2	yes	—
1397	C₄×C₅	—	2	2	no	—
1398	C₄×C₅	—	2	1	no	—
1399	C₄×C₅	—	2	1	no	—
1400	C₄×C₅	—	2	1	no	—
1401	C₄×C₅	—	4	1	no	—
1402	C₄×C₅	—	4	1	no	—
1403	C₄×C₅	—	4	1	no	—
1404	C₄×C₅	—	4	1	no	—
1405	C₄×C₅	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1406	C₄×C₅	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1407	Dic₅	—	2	1	no	—
1408	Dic₅	—	2	1	no	—
1409	Dic₅	—	2	1	no	—
1410	Dic₅	—	2	1	no	—
1411	Dic₅	—	2	1	no	—
1412	Dic₅	—	2	1	no	—
1413	Dic₅	—	4	1	no	—
1414	Dic₅	—	4	1	no	—
1415	Dic₅	—	4	1	no	—
1416	Dic₅	—	4	1	no	—
1417	Dic₅	—	4	1	no	—
1418	Dic₅	—	4	1	no	—
1419	Dic₅	—	4	1	no	—
1420	C₂⁴	—	2	1	no	—
1421	C₂⁴	—	2	1	no	—
1422	C₂⁴	—	2	1	no	—
1423	C₂⁴	—	5	1	no	—
1424	C₂⁴	—	10	1	no	—
1425	#41	—	2	2	no	—
1426	#41	—	2	2	no	—
1427	#41	—	2	2	no	—
1428	#41	—	2	2	no	—
1429	#41	—	4	1	no	—
1430	#41	—	4	1	no	—
1431	#41	—	4	1	no	—
1432	#41	—	4	1	no	—
1433	#41	—	4	4	no	—
1434	#41	—	10	2	no	—
1435	#41	—	10	2	no	—
1436	#41	—	20	1	no	—
1437	#41	—	20	1	no	—
1438	#41	—	20	4	no	—
1439	#41	—	20	1	no	—
1440	#41	—	20	1	no	—
1441	#41	—	20	4	no	—
1442	C₂×Q₈	—	2	1	no	—
1443	C₂×Q₈	—	4	1	no	—
1444	C₂×Q₈	—	4	1	no	—
1445	C₂×Q₈	—	5	1	no	—
1446	C₂×Q₈	—	5	1	no	—
1447	C₂×Q₈	—	5	1	no	—
1448	C₂×Q₈	—	10	1	no	—
1449	C₂×Q₈	—	10	1	no	—
1450	C₂×Q₈	—	10	1	no	—
1451	C₂×Q₈	—	10	1	no	—
1452	C₂×Q₈	—	10	2	no	—
1453	C₂×Q₈	—	20	1	no	—
1454	C₂×Q₈	—	20	1	no	—
1455	C₂×Q₈	—	20	1	no	—
1456	C₂×Q₈	—	20	1	no	—
1457	C₂×Q₈	—	20	1	no	—
1458	C₂×Q₈	—	20	1	no	—
1459	C₂×Q₈	—	20	1	no	—
1460	C₂×Q₈	D₄×D₅	1	1	yes	characteristic
1461	C₂×Q₈	C₂³×D₅	1	1	yes	characteristic
1462	C₂×Q₈	C₂³×D₅	1	1	yes	characteristic
1463	C₂×Q₈	C₂³×D₅	1	1	yes	characteristic
1464	C₂×D₄	—	2	1	no	—
1465	C₂×D₄	—	2	2	no	—
1466	C₂×D₄	—	2	2	no	—
1467	C₂×D₄	—	2	1	no	—
1468	C₂×D₄	—	2	1	no	—
1469	C₂×D₄	—	2	1	no	—
1470	C₂×D₄	—	2	1	no	—
1471	C₂×D₄	—	2	1	no	—
1472	C₂×D₄	—	4	1	no	—
1473	C₂×D₄	—	4	1	no	—
1474	C₂×D₄	—	4	1	no	—
1475	C₂×D₄	—	4	1	no	—
1476	C₂×D₄	—	4	4	no	—
1477	C₂×D₄	—	4	4	no	—
1478	C₂×D₄	—	4	4	no	—
1479	C₂×D₄	—	5	1	no	—
1480	C₂×D₄	—	5	1	no	—
1481	C₂×D₄	—	5	1	no	—
1482	C₂×D₄	—	5	1	no	—
1483	C₂×D₄	—	5	1	no	—
1484	C₂×D₄	—	10	1	no	—
1485	C₂×D₄	—	10	1	no	—
1486	C₂×D₄	—	10	1	no	—
1487	C₂×D₄	—	10	1	no	—
1488	C₂×D₄	—	10	1	no	—
1489	C₂×D₄	—	10	1	no	—
1490	C₂×D₄	—	10	2	no	—
1491	C₂×D₄	—	10	1	no	—
1492	C₂×D₄	—	10	1	no	—
1493	C₂×D₄	—	10	1	no	—
1494	C₂×D₄	—	10	1	no	—
1495	C₂×D₄	—	10	1	no	—
1496	C₂×D₄	—	10	1	no	—
1497	C₂×D₄	—	10	1	no	—
1498	C₂×D₄	—	10	1	no	—
1499	C₂×D₄	—	20	1	no	—
1500	C₂×D₄	—	20	4	no	—
1501	C₂×D₄	—	40	2	no	—
1502	C₂×D₄	—	40	2	no	—
1503	C₂×D₄	—	40	2	no	—
1504	C₂×D₄	D₄×D₅	1	1	yes	characteristic
1505	C₂×D₄	D₄×D₅	1	1	yes	characteristic
1506	C₂×D₄	D₄×D₅	1	1	yes	characteristic
1507	C₂×D₄	C₂³×D₅	1	1	yes	characteristic
1508	C₂×D₄	C₂³×D₅	1	1	yes	characteristic
1509	C₂×D₄	C₂³×D₅	1	1	yes	characteristic
1510	C₂²×C₄	—	2	1	no	—
1511	C₂²×C₄	—	2	1	no	—
1512	C₂²×C₄	—	2	1	no	—
1513	C₂²×C₄	—	2	1	no	—
1514	C₂²×C₄	—	5	1	no	—
1515	C₂²×C₄	—	5	1	no	—
1516	C₂²×C₄	—	5	1	no	—
1517	C₂²×C₄	—	5	1	no	—
1518	C₂²×C₄	—	5	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	—	10	1	no	—
1525	C₂²×C₄	—	10	1	no	—
1526	C₂²×C₄	—	10	1	no	—
1527	C₂²×C₄	—	10	1	no	—
1528	C₂²×C₄	—	10	1	no	—
1529	C₂²×C₄	—	10	1	no	—
1530	C₂²×C₄	—	10	1	no	—
1531	C₂²×C₄	—	20	1	no	—
1532	C₂²×C₄	—	20	1	no	—
1533	C₂²×C₄	—	20	4	no	—
1534	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1535	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1536	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1537	Q₁₆	—	2	2	no	—
1538	Q₁₆	—	2	2	no	—
1539	Q₁₆	—	10	2	no	—
1540	Q₁₆	—	10	2	no	—
1541	Q₁₆	—	20	1	no	—
1542	Q₁₆	—	20	1	no	—
1543	Q₁₆	—	20	1	no	—
1544	Q₁₆	—	20	1	no	—
1545	SD₁₆	—	2	2	no	—
1546	SD₁₆	—	2	2	no	—
1547	SD₁₆	—	4	1	no	—
1548	SD₁₆	—	4	1	no	—
1549	SD₁₆	—	4	1	no	—
1550	SD₁₆	—	4	1	no	—
1551	SD₁₆	—	10	2	no	—
1552	SD₁₆	—	10	2	no	—
1553	SD₁₆	—	20	1	no	—
1554	SD₁₆	—	20	1	no	—
1555	SD₁₆	—	20	1	no	—
1556	SD₁₆	—	20	1	no	—
1557	SD₁₆	—	20	1	no	—
1558	SD₁₆	—	20	1	no	—
1559	SD₁₆	—	20	1	no	—
1560	SD₁₆	—	20	1	no	—
1561	M₁₆	—	4	1	no	—
1562	M₁₆	—	20	1	no	—
1563	M₁₆	—	20	1	no	—
1564	M₁₆	—	20	1	no	—
1565	C₂×C₈	—	4	1	no	—
1566	C₂×C₈	—	5	1	no	—
1567	C₂×C₈	—	5	1	no	—
1568	C₂×C₈	—	5	1	no	—
1569	C₂×C₈	—	5	1	no	—
1570	C₂×C₈	—	20	1	no	—
1571	C₂×C₈	—	20	1	no	—
1572	C₂×C₈	—	20	1	no	—
1573	C₂×C₈	C₂³×D₅	1	1	yes	characteristic
1574	C₂×C₈	C₂³×D₅	1	1	yes	characteristic
1575	C₂×C₈	C₂³×D₅	1	1	yes	characteristic
1576	C₂×C₈	C₂³×D₅	1	1	yes	characteristic
1577	C₄⋊C₄	—	2	1	no	—
1578	C₄⋊C₄	—	2	1	no	—
1579	C₄⋊C₄	—	2	1	no	—
1580	C₄⋊C₄	—	2	1	no	—
1581	C₄⋊C₄	—	5	1	no	—
1582	C₄⋊C₄	—	5	1	no	—
1583	C₄⋊C₄	—	5	1	no	—
1584	C₄⋊C₄	—	5	1	no	—
1585	C₄⋊C₄	—	5	1	no	—
1586	C₄⋊C₄	—	5	1	no	—
1587	C₄⋊C₄	—	5	1	no	—
1588	C₄⋊C₄	—	5	1	no	—
1589	C₄⋊C₄	—	5	1	no	—
1590	C₄⋊C₄	—	5	1	no	—
1591	C₄⋊C₄	—	10	1	no	—
1592	C₄⋊C₄	—	10	1	no	—
1593	C₄⋊C₄	—	10	1	no	—
1594	C₄⋊C₄	—	10	1	no	—
1595	C₄⋊C₄	—	10	1	no	—
1596	C₄⋊C₄	—	10	1	no	—
1597	C₄⋊C₄	—	10	1	no	—
1598	C₄⋊C₄	—	10	1	no	—
1599	C₄⋊C₄	—	10	1	no	—
1600	C₄⋊C₄	—	10	1	no	—
1601	C₄⋊C₄	—	10	1	no	—
1602	C₄⋊C₄	—	10	1	no	—
1603	C₄⋊C₄	—	10	1	no	—
1604	C₄⋊C₄	—	10	1	no	—
1605	C₄⋊C₄	—	10	1	no	—
1606	C₄⋊C₄	—	10	1	no	—
1607	C₄⋊C₄	—	10	1	no	—
1608	C₄⋊C₄	—	10	1	no	—
1609	C₄⋊C₄	—	10	1	no	—
1610	C₄⋊C₄	—	10	1	no	—
1611	C₄⋊C₄	—	10	1	no	—
1612	C₄⋊C₄	—	10	1	no	—
1613	C₄⋊C₄	—	10	1	no	—
1614	C₄⋊C₄	—	10	1	no	—
1615	C₄⋊C₄	—	10	1	no	—
1616	C₄⋊C₄	—	10	1	no	—
1617	C₄⋊C₄	—	10	1	no	—
1618	C₄⋊C₄	C₂³×D₅	1	1	yes	characteristic
1619	C₄⋊C₄	C₂³×D₅	1	1	yes	characteristic
1620	C₂²⋊C₄	—	2	1	no	—
1621	C₂²⋊C₄	—	2	1	no	—
1622	C₂²⋊C₄	—	2	1	no	—
1623	C₂²⋊C₄	—	2	1	no	—
1624	C₂²⋊C₄	—	2	1	no	—
1625	C₂²⋊C₄	—	5	1	no	—
1626	C₂²⋊C₄	—	5	1	no	—
1627	C₂²⋊C₄	—	5	1	no	—
1628	C₂²⋊C₄	—	5	1	no	—
1629	C₂²⋊C₄	—	5	1	no	—
1630	C₂²⋊C₄	—	5	1	no	—
1631	C₂²⋊C₄	—	5	1	no	—
1632	C₂²⋊C₄	—	5	1	no	—
1633	C₂²⋊C₄	—	5	1	no	—
1634	C₂²⋊C₄	—	5	1	no	—
1635	C₂²⋊C₄	—	10	1	no	—
1636	C₂²⋊C₄	—	10	1	no	—
1637	C₂²⋊C₄	—	10	1	no	—
1638	C₂²⋊C₄	—	10	1	no	—
1639	C₂²⋊C₄	—	10	1	no	—
1640	C₂²⋊C₄	—	10	1	no	—
1641	C₂²⋊C₄	—	10	1	no	—
1642	C₂²⋊C₄	—	10	1	no	—
1643	C₂²⋊C₄	—	10	1	no	—
1644	C₂²⋊C₄	—	10	1	no	—
1645	C₂²⋊C₄	—	10	1	no	—
1646	C₂²⋊C₄	—	10	1	no	—
1647	C₂²⋊C₄	—	10	1	no	—
1648	C₂²⋊C₄	—	10	1	no	—
1649	C₂²⋊C₄	—	10	1	no	—
1650	C₂²⋊C₄	—	10	1	no	—
1651	C₂²⋊C₄	—	10	1	no	—
1652	C₂²⋊C₄	—	10	1	no	—
1653	C₂²⋊C₄	—	10	1	no	—
1654	C₂²⋊C₄	—	10	1	no	—
1655	C₂²⋊C₄	—	10	1	no	—
1656	C₂²⋊C₄	—	10	1	no	—
1657	C₂²⋊C₄	—	10	1	no	—
1658	C₄²	—	2	1	no	—
1659	C₄²	—	5	1	no	—
1660	C₄²	—	5	1	no	—
1661	C₄²	—	10	1	no	—
1662	C₄²	—	10	1	no	—
1663	C₄²	—	10	1	no	—
1664	C₄²	—	10	1	no	—
1665	C₄²	—	10	1	no	—
1666	C₄²	—	10	1	no	—
1667	C₄²	—	10	1	no	—
1668	C₂×C₅	—	4	1	no	—
1669	C₂×C₅	—	4	2	no	—
1670	C₂×C₅	—	4	1	no	—
1671	C₂×C₅	—	4	1	no	—
1672	C₂×C₅	—	8	1	no	—
1673	C₂×C₅	—	8	1	no	—
1674	C₂×C₅	#3484	1	1	yes	characteristic
1675	C₂×C₅	C₂×#577	1	1	yes	characteristic
1676	C₂×C₅	#3586	1	1	yes	characteristic
1677	D₅	—	2	2	no	—
1678	D₅	—	4	1	no	—
1679	D₅	—	8	1	no	—
1680	C₂³	—	2	1	no	—
1681	C₂³	—	2	1	no	—
1682	C₂³	—	2	1	no	—
1683	C₂³	—	4	2	no	—
1684	C₂³	—	4	2	no	—
1685	C₂³	—	4	2	no	—
1686	C₂³	—	5	1	no	—
1687	C₂³	—	5	1	no	—
1688	C₂³	—	8	1	no	—
1689	C₂³	—	8	1	no	—
1690	C₂³	—	8	1	no	—
1691	C₂³	—	8	1	no	—
1692	C₂³	—	8	1	no	—
1693	C₂³	—	8	1	no	—
1694	C₂³	—	10	2	no	—
1695	C₂³	—	10	1	no	—
1696	C₂³	—	20	1	no	—
1697	C₂³	—	20	1	no	—
1698	C₂³	—	20	2	no	—
1699	C₂³	—	20	2	no	—
1700	C₂³	—	40	1	no	—
1701	C₂³	C₂×D₄×D₅	1	1	yes	characteristic
1702	C₂³	C₂×D₄×D₅	1	1	yes	characteristic
1703	C₂³	C₂×D₄×D₅	1	1	yes	characteristic
1704	Q₈	—	2	1	no	—
1705	Q₈	—	2	1	no	—
1706	Q₈	—	2	1	no	—
1707	Q₈	—	2	1	no	—
1708	Q₈	—	2	1	no	—
1709	Q₈	—	4	1	no	—
1710	Q₈	—	8	1	no	—
1711	Q₈	—	10	1	no	—
1712	Q₈	—	10	1	no	—
1713	Q₈	—	10	1	no	—
1714	Q₈	—	10	1	no	—
1715	Q₈	—	10	1	no	—
1716	Q₈	—	10	1	no	—
1717	Q₈	—	20	2	no	—
1718	Q₈	—	40	1	no	—
1719	Q₈	—	40	1	no	—
1720	Q₈	—	40	1	no	—
1721	Q₈	#4144	1	2	yes	—
1722	D₄	—	2	4	no	—
1723	D₄	—	2	1	no	—
1724	D₄	—	2	1	no	—
1725	D₄	—	2	1	no	—
1726	D₄	—	2	1	no	—
1727	D₄	—	2	1	no	—
1728	D₄	—	4	1	no	—
1729	D₄	—	4	1	no	—
1730	D₄	—	4	1	no	—
1731	D₄	—	4	2	no	—
1732	D₄	—	4	2	no	—
1733	D₄	—	4	2	no	—
1734	D₄	—	4	2	no	—
1735	D₄	—	4	2	no	—
1736	D₄	—	10	2	no	—
1737	D₄	—	10	2	no	—
1738	D₄	—	10	1	no	—
1739	D₄	—	10	1	no	—
1740	D₄	—	20	2	no	—
1741	D₄	—	20	1	no	—
1742	D₄	—	20	1	no	—
1743	D₄	—	20	2	no	—
1744	D₄	—	20	2	no	—
1745	D₄	—	20	2	no	—
1746	D₄	—	20	2	no	—
1747	D₄	—	20	2	no	—
1748	D₄	—	40	1	no	—
1749	D₄	—	40	1	no	—
1750	D₄	—	40	1	no	—
1751	D₄	—	40	1	no	—
1752	D₄	—	40	1	no	—
1753	D₄	—	40	1	no	—
1754	D₄	—	40	1	no	—
1755	D₄	—	40	1	no	—
1756	D₄	#4144	1	2	yes	—
1757	C₂×C₄	—	2	4	no	—
1758	C₂×C₄	—	2	1	no	—
1759	C₂×C₄	—	2	1	no	—
1760	C₂×C₄	—	2	1	no	—
1761	C₂×C₄	—	2	1	no	—
1762	C₂×C₄	—	2	1	no	—
1763	C₂×C₄	—	2	1	no	—
1764	C₂×C₄	—	2	1	no	—
1765	C₂×C₄	—	2	1	no	—
1766	C₂×C₄	—	2	1	no	—
1767	C₂×C₄	—	2	1	no	—
1768	C₂×C₄	—	2	1	no	—
1769	C₂×C₄	—	4	2	no	—
1770	C₂×C₄	—	4	2	no	—
1771	C₂×C₄	—	5	1	no	—
1772	C₂×C₄	—	5	1	no	—
1773	C₂×C₄	—	5	1	no	—
1774	C₂×C₄	—	5	1	no	—
1775	C₂×C₄	—	5	1	no	—
1776	C₂×C₄	—	5	1	no	—
1777	C₂×C₄	—	8	1	no	—
1778	C₂×C₄	—	10	1	no	—
1779	C₂×C₄	—	10	1	no	—
1780	C₂×C₄	—	10	1	no	—
1781	C₂×C₄	—	10	1	no	—
1782	C₂×C₄	—	10	1	no	—
1783	C₂×C₄	—	10	1	no	—
1784	C₂×C₄	—	10	1	no	—
1785	C₂×C₄	—	10	1	no	—
1786	C₂×C₄	—	10	1	no	—
1787	C₂×C₄	—	10	1	no	—
1788	C₂×C₄	—	10	1	no	—
1789	C₂×C₄	—	20	1	no	—
1790	C₂×C₄	—	20	1	no	—
1791	C₂×C₄	—	20	2	no	—
1792	C₂×C₄	—	20	2	no	—
1793	C₂×C₄	—	20	2	no	—
1794	C₂×C₄	—	20	2	no	—
1795	C₂×C₄	—	20	2	no	—
1796	C₂×C₄	—	20	1	no	—
1797	C₂×C₄	—	20	2	no	—
1798	C₂×C₄	—	40	1	no	—
1799	C₂×C₄	—	40	1	no	—
1800	C₂×C₄	—	40	1	no	—
1801	C₂×C₄	—	40	1	no	—
1802	C₂×C₄	—	40	1	no	—
1803	C₂×C₄	—	40	1	no	—
1804	C₂×C₄	C₂×D₄×D₅	1	1	yes	characteristic
1805	C₂×C₄	C₂×D₄×D₅	1	1	yes	characteristic
1806	C₂×C₄	C₂×D₄×D₅	1	1	yes	characteristic
1807	C₂×C₄	C₂⁴×D₅	1	1	yes	characteristic
1808	C₈	—	2	1	no	—
1809	C₈	—	2	1	no	—
1810	C₈	—	2	1	no	—
1811	C₈	—	2	1	no	—
1812	C₈	—	10	1	no	—
1813	C₈	—	10	1	no	—
1814	C₈	—	10	1	no	—
1815	C₈	—	10	1	no	—
1816	C₅	#61618	1	1	yes	characteristic, complemented, Sylow
1817	C₂²	—	2	1	no	—
1818	C₂²	—	2	1	no	—
1819	C₂²	—	2	2	no	—
1820	C₂²	—	2	1	no	—
1821	C₂²	—	2	1	no	—
1822	C₂²	—	2	1	no	—
1823	C₂²	—	2	1	no	—
1824	C₂²	—	2	1	no	—
1825	C₂²	—	2	1	no	—
1826	C₂²	—	2	1	no	—
1827	C₂²	—	4	1	no	—
1828	C₂²	—	4	1	no	—
1829	C₂²	—	4	1	no	—
1830	C₂²	—	4	1	no	—
1831	C₂²	—	4	1	no	—
1832	C₂²	—	4	1	no	—
1833	C₂²	—	4	1	no	—
1834	C₂²	—	4	1	no	—
1835	C₂²	—	5	2	no	—
1836	C₂²	—	10	1	no	—
1837	C₂²	—	10	1	no	—
1838	C₂²	—	10	1	no	—
1839	C₂²	—	10	1	no	—
1840	C₂²	—	10	1	no	—
1841	C₂²	—	16	2	no	—
1842	C₂²	—	16	2	no	—
1843	C₂²	—	16	2	no	—
1844	C₂²	—	20	1	no	—
1845	C₂²	—	20	1	no	—
1846	C₂²	—	20	1	no	—
1847	C₂²	—	40	2	no	—
1848	C₂²	—	40	4	no	—
1849	C₂²	C₂²×D₄×D₅	1	1	yes	characteristic
1850	C₄	—	2	1	no	—
1851	C₄	—	2	2	no	—
1852	C₄	—	2	1	no	—
1853	C₄	—	2	1	no	—
1854	C₄	—	4	1	no	—
1855	C₄	—	4	1	no	—
1856	C₄	—	4	1	no	—
1857	C₄	—	4	1	no	—
1858	C₄	—	10	1	no	—
1859	C₄	—	10	1	no	—
1860	C₄	—	10	1	no	—
1861	C₄	—	10	1	no	—
1862	C₄	—	10	1	no	—
1863	C₄	—	10	1	no	—
1864	C₄	—	20	1	no	—
1865	C₄	—	20	1	no	—
1866	C₄	—	20	1	no	—
1867	C₄	—	20	1	no	—
1868	C₄	—	20	1	no	—
1869	C₄	—	20	1	no	—
1870	C₄	—	20	1	no	—
1871	C₄	C₂×#4144	1	1	yes	characteristic
1872	C₄	C₂×#4144	1	1	yes	characteristic
1873	C₂	—	4	1	no	—
1874	C₂	—	4	1	no	—
1875	C₂	—	4	1	no	—
1876	C₂	—	4	2	no	—
1877	C₂	—	8	1	no	—
1878	C₂	—	8	1	no	—
1879	C₂	—	10	2	no	—
1880	C₂	—	20	1	no	—
1881	C₂	—	40	1	no	—
1882	C₂	#10617820	1	1	yes	characteristic
1883	C₂	D₅×#577	1	1	yes	characteristic
1884	C₂	#10619109	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×#3009	C₂
socle	C₂²×C₅	C₂³×D₄
prime radical	#10619186	C₂
hypercenter	#3009	D₅
hypocenter	C₅	#61618
LCS	G ▷ C₂×C₄×C₅ ▷ C₂×C₅ ▷ C₅
UCS	C₁ ◁ C₂² ◁ C₂×#41 ◁ #3009

Complements

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

N	H ≅ G/N	type
2. #10618260	C₂	semidirect
3. C₅×#3009	C₂	semidirect
4. #10615836	C₂	semidirect
5. #10615728	C₂	semidirect
6. #10615720	C₂	semidirect
7. #10615597	C₂	semidirect
8. SD₁₆×C₂²⋊D₅	C₂	semidirect
9. #10615139	C₂	semidirect
10. #10612006	C₂	semidirect
11. #10611987	C₂	semidirect
12. #10611978	C₂	semidirect
13. #10611973	C₂	semidirect
14. #10611959	C₂	semidirect
15. D₅×#452	C₂	semidirect
16. #10611948	C₂	semidirect
17. #10611947	C₂	semidirect
18. #10611902	C₂	semidirect
19. #10611900	C₂	semidirect
20. #10611895	C₂	semidirect
21. #10611892	C₂	semidirect
22. #10611883	C₂	semidirect
23. #10611881	C₂	semidirect
24. #10611873	C₂	semidirect
25. #10611873	C₂	semidirect
26. #10610670	C₂	semidirect
27. #10610665	C₂	semidirect
28. #10610589	C₂	semidirect
29. #10610578	C₂	semidirect
30. #10610412	C₂	semidirect
31. #10610395	C₂	semidirect
34. C₂×C₅×#137	C₂²	semidirect
35. C₂²×C₅×SD₁₆	C₂²	semidirect
36. C₅×#536	C₂²	semidirect
46. #66159	C₂²	semidirect
47. C₂×#4097	C₂²	semidirect
48. Q₈×C₂²⋊D₅	C₂²	semidirect
49. Q₈×C₂²⋊D₅	C₂²	semidirect
62. C₂²×#687	C₂²	semidirect
63. C₂×#4064	C₂²	semidirect
64. C₂×D₅×Q₁₆	C₂²	semidirect
65. C₂×#4061	C₂²	semidirect
66. C₂×D₅×SD₁₆	C₂²	semidirect
75. #65973	C₂²	semidirect
76. #65973	C₂²	semidirect
77. #65966	C₂²	semidirect
78. #65966	C₂²	semidirect
79. D₅×C₂²⋊Q₈	C₂²	semidirect
80. D₅×C₂²⋊Q₈	C₂²	semidirect
81. #65959	C₂²	semidirect
82. #65959	C₂²	semidirect
83. #65863	C₂²	semidirect
84. #65863	C₂²	semidirect
87. C₅×#452	C₂²	semidirect
88. C₅×#452	C₂²	semidirect
89. C₅×#450	C₂²	semidirect
90. C₅×#450	C₂²	semidirect
91. C₅×#450	C₂²	semidirect
92. C₅×#450	C₂²	semidirect
93. C₅×#418	C₂²	semidirect
94. C₅×#416	C₂²	semidirect
95. C₅×#408	C₂²	semidirect
98. #65528	C₂²	semidirect
99. #65528	C₂²	semidirect
100. #65523	C₂²	semidirect
101. #65522	C₂²	semidirect
102. #65517	C₂²	semidirect
103. #65516	C₂²	semidirect
104. #65507	C₂²	semidirect
105. #65507	C₂²	semidirect
106. #65507	C₂²	semidirect
107. #65507	C₂²	semidirect
108. #65504	C₂²	semidirect
109. #65476	C₂²	semidirect
110. #65475	C₂²	semidirect
111. #65473	C₂²	semidirect
112. Q₁₆×Dic₅	C₂²	semidirect
113. #65471	C₂²	semidirect
114. #65471	C₂²	semidirect
115. #65464	C₂²	semidirect
116. #65464	C₂²	semidirect
117. #65463	C₂²	semidirect
118. #65463	C₂²	semidirect
119. #65462	C₂²	semidirect
120. #65460	C₂²	semidirect
121. #65460	C₂²	semidirect
122. #65459	C₂²	semidirect
123. #65459	C₂²	semidirect
124. #65459	C₂²	semidirect
125. #65459	C₂²	semidirect
126. #65458	C₂²	semidirect
127. #65456	C₂²	semidirect
128. #65456	C₂²	semidirect
129. #65455	C₂²	semidirect
130. #65455	C₂²	semidirect
131. #65453	C₂²	semidirect
132. #65452	C₂²	semidirect
133. #65452	C₂²	semidirect
134. #65451	C₂²	semidirect
135. #65451	C₂²	semidirect
136. SD₁₆×Dic₅	C₂²	semidirect
137. #65426	C₂²	semidirect
138. #65423	C₂²	semidirect
139. #65417	C₂²	semidirect
140. #65416	C₂²	semidirect
141. #65405	C₂²	semidirect
142. #65403	C₂²	semidirect
143. #65400	C₂²	semidirect
144. C₈×C₂²⋊D₅	C₂²	semidirect
145. #65341	C₂²	semidirect
146. #65340	C₂²	semidirect
147. #65338	C₂²	semidirect
148. #65337	C₂²	semidirect
149. #65336	C₂²	semidirect
150. #65336	C₂²	semidirect
151. #65333	C₂²	semidirect
152. #65332	C₂²	semidirect
153. #65292	C₂²	semidirect
154. #65285	C₂²	semidirect
155. #65099	C₂²	semidirect
156. #65097	C₂²	semidirect
157. #65092	C₂²	semidirect
158. D₅×#103	C₂²	semidirect
159. #65088	C₂²	semidirect
160. #65085	C₂²	semidirect
161. #65079	C₂²	semidirect
162. #65078	C₂²	semidirect
163. #65072	C₂²	semidirect
164. #65069	C₂²	semidirect
165. #65069	C₂²	semidirect
166. #65067	C₂²	semidirect
167. #65067	C₂²	semidirect
168. #65066	C₂²	semidirect
169. #65066	C₂²	semidirect
170. #65065	C₂²	semidirect
171. #65063	C₂²	semidirect
172. #65063	C₂²	semidirect
173. #65060	C₂²	semidirect
174. D₅×#102	C₂²	semidirect
175. #65057	C₂²	semidirect
176. #65057	C₂²	semidirect
177. #65056	C₂²	semidirect
178. #65056	C₂²	semidirect
179. #65055	C₂²	semidirect
180. #65053	C₂²	semidirect
181. #65053	C₂²	semidirect
182. #65052	C₂²	semidirect
183. #65051	C₂²	semidirect
184. #65051	C₂²	semidirect
185. #65047	C₂²	semidirect
186. #65046	C₂²	semidirect
187. #65028	C₂²	semidirect
188. #65027	C₂²	semidirect
189. #65026	C₂²	semidirect
190. #65022	C₂²	semidirect
191. #65022	C₂²	semidirect
192. #65019	C₂²	semidirect
193. #65018	C₂²	semidirect
194. #65017	C₂²	semidirect
195. #65015	C₂²	semidirect
196. #65014	C₂²	semidirect
197. D₅×C₂²⋊C₈	C₂²	semidirect
198. #65012	C₂²	semidirect
199. #65011	C₂²	semidirect
200. #65010	C₂²	semidirect
201. #65009	C₂²	semidirect
202. #65009	C₂²	semidirect
518. #3009	D₅	semidirect
775. C₂×#137	C₂×D₅	semidirect
779. C₂²×SD₁₆	C₂×D₅	semidirect
813. #536	C₂×D₅	semidirect
889. #452	C₂×D₅	semidirect
890. #452	C₂×D₅	semidirect
901. #450	C₂×D₅	semidirect
902. #450	C₂×D₅	semidirect
903. #450	C₂×D₅	semidirect
904. #450	C₂×D₅	semidirect
930. #418	C₂×D₅	semidirect
934. #416	C₂×D₅	semidirect
938. #408	C₂×D₅	semidirect
1816. C₅	#61618	semidirect

Maximal subgroups

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

subgroup	index
#10619186	2
#10618260	2
C₅×#3009	2
#10615836	2
#10615728	2
#10615720	2
#10615597	2
SD₁₆×C₂²⋊D₅	2
#10615139	2
#10612006	2
#10611987	2
#10611978	2
#10611973	2
#10611959	2
D₅×#452	2
#10611948	2
#10611947	2
#10611902	2
#10611900	2
#10611895	2
#10611892	2
#10611883	2
#10611881	2
#10611873	2
#10610670	2
#10610665	2
#10610589	2
#10610578	2
#10610412	2
#10610395	2
#61618	5