Subgroups — #12984882

Order 1280.

2226 conjugacy classes of subgroups.

The subgroup lattice has 1942 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#10619185	C₂	1	1	yes	maximal, characteristic, complemented
2	#10618261	C₂	1	1	yes	maximal, characteristic, complemented
3	C₅×#3009	C₂	1	1	yes	maximal, characteristic, complemented
4	#10615833	C₂	1	1	yes	maximal, characteristic, complemented
5	#10615722	C₂	1	1	yes	maximal, characteristic, complemented
6	#10615718	C₂	1	1	yes	maximal, characteristic, complemented
7	SD₁₆×C₂²⋊D₅	C₂	1	1	yes	maximal, characteristic, complemented
8	#10615595	C₂	1	1	yes	maximal, characteristic, complemented
9	#10615138	C₂	1	1	yes	maximal, characteristic, complemented
10	#10611995	C₂	1	1	yes	maximal, characteristic, complemented
11	#10611994	C₂	1	1	yes	maximal, characteristic, complemented
12	#10611993	C₂	1	1	yes	maximal, characteristic, complemented
13	#10611989	C₂	1	1	yes	maximal, characteristic, complemented
14	#10611983	C₂	1	1	yes	maximal, characteristic, complemented
15	#10611975	C₂	1	1	yes	maximal, characteristic, complemented
16	#10611966	C₂	1	1	yes	maximal, characteristic, complemented
17	#10611965	C₂	1	1	yes	maximal, characteristic, complemented
18	#10611898	C₂	1	1	yes	maximal, characteristic, complemented
19	#10611891	C₂	1	1	yes	maximal, characteristic, complemented
20	#10611889	C₂	1	1	yes	maximal, characteristic, complemented
21	#10611887	C₂	1	1	yes	maximal, characteristic, complemented
22	#10611877	C₂	1	1	yes	maximal, characteristic, complemented
23	D₅×#450	C₂	1	1	yes	maximal, characteristic, complemented
24	#10611868	C₂	1	1	yes	maximal, characteristic, complemented
25	#10611867	C₂	1	1	yes	maximal, characteristic, complemented
26	#10610671	C₂	1	1	yes	maximal, characteristic, complemented
27	#10610667	C₂	1	1	yes	maximal, characteristic, complemented
28	#10610586	C₂	1	1	yes	maximal, characteristic, complemented
29	#10610577	C₂	1	1	yes	maximal, characteristic, complemented
30	#10610404	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	C₂²×D₄×D₅	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	#66167	C₂²	1	1	yes	characteristic, complemented
38	#66164	C₂²	1	1	yes	characteristic
39	#66164	C₂²	1	1	yes	characteristic
40	#66163	—	2	1	no	—
41	#66163	—	2	1	no	—
42	#66163	C₂²	1	1	yes	characteristic
43	#66163	C₂²	1	1	yes	characteristic
44	#66163	C₂²	1	1	yes	characteristic
45	#66163	C₂²	1	1	yes	characteristic
46	#66162	C₂²	1	1	yes	characteristic
47	#66162	C₂²	1	1	yes	characteristic
48	C₂×#4096	C₂²	1	1	yes	characteristic, complemented
49	#66151	C₂²	1	1	yes	characteristic, complemented
50	Q₈×C₂²⋊D₅	C₂²	1	1	yes	characteristic, complemented
51	#66138	—	2	1	no	—
52	#66138	—	2	1	no	—
53	D₄×C₂²⋊D₅	—	2	1	no	—
54	D₄×C₂²⋊D₅	—	2	1	no	—
55	D₄×C₂²⋊D₅	C₂²	1	1	yes	characteristic
56	D₄×C₂²⋊D₅	C₂²	1	1	yes	characteristic
57	D₄×C₂²⋊D₅	C₂²	1	1	yes	characteristic
58	D₄×C₂²⋊D₅	C₂²	1	1	yes	characteristic
59	C₂×#4083	—	2	1	no	—
60	C₂×#4083	—	2	1	no	—
61	#66132	C₂²	1	1	yes	characteristic
62	C₂×#4078	C₂²	1	1	yes	characteristic, complemented
63	C₂×#4060	C₂²	1	1	yes	characteristic, complemented
64	C₂×#4060	C₂²	1	1	yes	characteristic, complemented
65	C₂×D₅×SD₁₆	C₂²	1	1	yes	characteristic, complemented
66	C₂×D₅×SD₁₆	C₂²	1	1	yes	characteristic, complemented
67	#66069	—	2	1	no	—
68	#66064	—	2	1	no	—
69	#66012	—	2	1	no	—
70	#66003	—	2	1	no	—
71	#66001	—	2	1	no	—
72	#65995	—	2	1	no	—
73	#65994	—	2	1	no	—
74	#65991	—	2	1	no	—
75	#65977	C₂²	1	1	yes	characteristic, complemented
76	#65976	C₂²	1	1	yes	characteristic, complemented
77	#65969	C₂²	1	1	yes	characteristic, complemented
78	#65967	C₂²	1	1	yes	characteristic, complemented
79	#65965	C₂²	1	1	yes	characteristic, complemented
80	#65961	C₂²	1	1	yes	characteristic, complemented
81	D₅×C₂²⋊Q₈	C₂²	1	1	yes	characteristic, complemented
82	#65959	C₂²	1	1	yes	characteristic, complemented
83	#65867	C₂²	1	1	yes	characteristic, complemented
84	#65864	C₂²	1	1	yes	characteristic, complemented
85	C₅×#452	C₂²	1	1	yes	characteristic, complemented
86	C₅×#452	C₂²	1	1	yes	characteristic, complemented
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
90	C₅×#450	C₂²	1	1	yes	characteristic
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, complemented
97	#65528	C₂²	1	1	yes	characteristic, complemented
98	#65527	C₂²	1	1	yes	characteristic, complemented
99	#65527	C₂²	1	1	yes	characteristic, complemented
100	#65523	C₂²	1	1	yes	characteristic, complemented
101	#65521	C₂²	1	1	yes	characteristic, complemented
102	#65516	C₂²	1	1	yes	characteristic, complemented
103	#65516	C₂²	1	1	yes	characteristic, complemented
104	#65507	C₂²	1	1	yes	characteristic
105	#65507	C₂²	1	1	yes	characteristic, complemented
106	#65506	C₂²	1	1	yes	characteristic
107	#65506	C₂²	1	1	yes	characteristic, complemented
108	C₂×#3964	C₂²	1	1	yes	characteristic, complemented
109	#65480	C₂²	1	1	yes	characteristic, complemented
110	#65479	C₂²	1	1	yes	characteristic, complemented
111	#65478	C₂²	1	1	yes	characteristic, complemented
112	#65477	C₂²	1	1	yes	characteristic, complemented
113	#65476	C₂²	1	1	yes	characteristic, complemented
114	#65475	C₂²	1	1	yes	characteristic, complemented
115	#65474	C₂²	1	1	yes	characteristic, complemented
116	#65474	C₂²	1	1	yes	characteristic, complemented
117	#65465	C₂²	1	1	yes	characteristic, complemented
118	#65464	C₂²	1	1	yes	characteristic, complemented
119	#65463	C₂²	1	1	yes	characteristic, complemented
120	#65461	C₂²	1	1	yes	characteristic, complemented
121	#65460	C₂²	1	1	yes	characteristic, complemented
122	#65459	C₂²	1	1	yes	characteristic, complemented
123	#65458	C₂²	1	1	yes	characteristic, complemented
124	#65458	C₂²	1	1	yes	characteristic, complemented
125	#65458	C₂²	1	1	yes	characteristic, complemented
126	#65458	C₂²	1	1	yes	characteristic, complemented
127	#65454	C₂²	1	1	yes	characteristic, complemented
128	#65454	C₂²	1	1	yes	characteristic, complemented
129	#65453	C₂²	1	1	yes	characteristic, complemented
130	#65453	C₂²	1	1	yes	characteristic, complemented
131	#65452	C₂²	1	1	yes	characteristic, complemented
132	#65452	C₂²	1	1	yes	characteristic, complemented
133	#65451	C₂²	1	1	yes	characteristic, complemented
134	#65451	C₂²	1	1	yes	characteristic, complemented
135	SD₁₆×Dic₅	C₂²	1	1	yes	characteristic, complemented
136	SD₁₆×Dic₅	C₂²	1	1	yes	characteristic, complemented
137	#65424	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	#65404	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	#65338	C₂²	1	1	yes	characteristic, complemented
146	#65338	C₂²	1	1	yes	characteristic, complemented
147	#65337	C₂²	1	1	yes	characteristic, complemented
148	#65337	C₂²	1	1	yes	characteristic, complemented
149	#65335	C₂²	1	1	yes	characteristic, complemented
150	#65335	C₂²	1	1	yes	characteristic, complemented
151	#65334	C₂²	1	1	yes	characteristic, complemented
152	#65334	C₂²	1	1	yes	characteristic, complemented
153	#65292	C₂²	1	1	yes	characteristic, complemented
154	#65292	C₂²	1	1	yes	characteristic, complemented
155	#65108	C₂²	1	1	yes	characteristic, complemented
156	#65105	C₂²	1	1	yes	characteristic, complemented
157	#65104	C₂²	1	1	yes	characteristic, complemented
158	#65098	C₂²	1	1	yes	characteristic, complemented
159	#65096	C₂²	1	1	yes	characteristic, complemented
160	#65089	C₂²	1	1	yes	characteristic, complemented
161	#65087	C₂²	1	1	yes	characteristic, complemented
162	#65084	C₂²	1	1	yes	characteristic, complemented
163	#65075	C₂²	1	1	yes	characteristic, complemented
164	#65074	C₂²	1	1	yes	characteristic, complemented
165	#65073	C₂²	1	1	yes	characteristic, complemented
166	#65069	C₂²	1	1	yes	characteristic, complemented
167	#65066	C₂²	1	1	yes	characteristic, complemented
168	#65065	C₂²	1	1	yes	characteristic, complemented
169	#65065	C₂²	1	1	yes	characteristic, complemented
170	#65064	C₂²	1	1	yes	characteristic, complemented
171	#65062	C₂²	1	1	yes	characteristic, complemented
172	#65062	C₂²	1	1	yes	characteristic, complemented
173	#65059	C₂²	1	1	yes	characteristic, complemented
174	#65059	C₂²	1	1	yes	characteristic, complemented
175	D₅×#102	C₂²	1	1	yes	characteristic, complemented
176	D₅×#102	C₂²	1	1	yes	characteristic, complemented
177	#65055	C₂²	1	1	yes	characteristic, complemented
178	#65053	C₂²	1	1	yes	characteristic, complemented
179	#65052	C₂²	1	1	yes	characteristic, complemented
180	#65051	C₂²	1	1	yes	characteristic, complemented
181	#65050	C₂²	1	1	yes	characteristic, complemented
182	#65049	C₂²	1	1	yes	characteristic, complemented
183	#65048	C₂²	1	1	yes	characteristic, complemented
184	#65047	C₂²	1	1	yes	characteristic, complemented
185	#65046	C₂²	1	1	yes	characteristic, complemented
186	#65045	C₂²	1	1	yes	characteristic, complemented
187	#65026	C₂²	1	1	yes	characteristic, complemented
188	#65025	C₂²	1	1	yes	characteristic, complemented
189	#65024	C₂²	1	1	yes	characteristic, complemented
190	#65023	C₂²	1	1	yes	characteristic, complemented
191	#65023	C₂²	1	1	yes	characteristic, complemented
192	#65021	C₂²	1	1	yes	characteristic, complemented
193	#65020	C₂²	1	1	yes	characteristic, complemented
194	#65019	C₂²	1	1	yes	characteristic, complemented
195	#65018	C₂²	1	1	yes	characteristic, complemented
196	#65017	C₂²	1	1	yes	characteristic, complemented
197	#65015	C₂²	1	1	yes	characteristic, complemented
198	#65014	C₂²	1	1	yes	characteristic, complemented
199	D₅×C₂²⋊C₈	C₂²	1	1	yes	characteristic, complemented
200	#65012	C₂²	1	1	yes	characteristic, complemented
201	#65009	C₂²	1	1	yes	characteristic, complemented
202	#65009	C₂²	1	1	yes	characteristic, complemented
203	#61610	—	5	1	no	maximal, Sylow
204	C₂⁴×D₅	—	2	1	no	—
205	C₅×H(5,𝔽₂)	—	4	2	no	—
206	C₅×H(5,𝔽₂)	—	4	2	no	—
207	C₂×C₅×#41	—	2	1	no	—
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	C₂×C₅×#41	C₂³	1	1	yes	characteristic
212	C₂²×C₅×Q₈	C₂³	1	1	yes	characteristic, complemented
213	C₂²×C₅×D₄	—	2	1	no	—
214	C₂²×C₅×D₄	—	2	1	no	—
215	C₂²×C₅×D₄	—	2	1	no	—
216	C₂²×C₅×D₄	C₂³	1	1	yes	characteristic
217	C₂²×C₅×D₄	C₂³	1	1	yes	characteristic
218	C₂²×C₅×D₄	C₂³	1	1	yes	characteristic
219	C₂²×C₂²⋊D₅	—	2	1	no	—
220	C₂²×C₂²⋊D₅	—	2	1	no	—
221	C₂²×C₂²⋊D₅	—	2	1	no	—
222	C₂²×C₂²⋊D₅	—	2	1	no	—
223	C₂²×C₂²⋊D₅	—	2	1	no	—
224	C₂×#713	C₂³	1	1	yes	characteristic
225	C₂×Q₈×D₅	C₂³	1	1	yes	characteristic
226	C₂×D₄×D₅	—	2	1	no	—
227	C₂×D₄×D₅	—	2	1	no	—
228	C₂×D₄×D₅	—	4	2	no	—
229	C₂×D₄×D₅	—	4	2	no	—
230	C₂×D₄×D₅	C₂³	1	1	yes	characteristic
231	C₂×D₄×D₅	C₂³	1	1	yes	characteristic
232	C₂×D₄×D₅	C₂³	1	1	yes	characteristic
233	C₂×D₄×D₅	C₂³	1	1	yes	characteristic
234	C₂×#709	C₂³	1	1	yes	characteristic, complemented
235	C₂²×D₂₀	C₂³	1	1	yes	characteristic
236	C₂²×C₄×D₅	C₂³	1	1	yes	characteristic
237	C₅×#137	—	4	2	no	—
238	C₂×C₅×Q₁₆	C₂³	1	1	yes	characteristic, complemented
239	C₂×C₅×Q₁₆	C₂³	1	1	yes	characteristic, complemented
240	C₂×C₅×SD₁₆	—	4	2	no	—
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, complemented
246	C₂×C₅×SD₁₆	C₂³	1	1	yes	characteristic, complemented
247	C₂×C₅×M₁₆	C₂³	1	1	yes	characteristic, complemented
248	C₂²×C₅×C₈	C₂³	1	1	yes	characteristic, complemented
249	C₅×C₄⋊Q₈	—	2	1	no	—
250	C₅×#124	—	2	1	no	—
251	C₅×#123	—	2	1	no	—
252	C₅×#123	—	2	1	no	—
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, complemented
256	C₅×C₂²⋊Q₈	C₂³	1	1	yes	characteristic, complemented
257	C₅×#117	C₂³	1	1	yes	characteristic, complemented
258	#4099	—	2	1	no	—
259	#4099	—	2	1	no	—
260	#4099	—	2	1	no	—
261	#4099	—	2	1	no	—
262	C₂×C₂²⋊Dic₅	—	2	1	no	—
263	C₂×C₂²⋊Dic₅	—	2	1	no	—
264	#4096	—	4	2	no	—
265	#4093	—	2	1	no	—
266	#4093	—	2	1	no	—
267	#4093	C₂³	1	1	yes	characteristic
268	#4093	C₂³	1	1	yes	characteristic
269	#4093	C₂³	1	1	yes	characteristic, complemented
270	#4092	—	2	1	no	—
271	#4092	—	2	1	no	—
272	#4092	—	2	1	no	—
273	#4092	D₄	1	1	yes	characteristic
274	#4092	D₄	1	1	yes	characteristic
275	#4092	C₂³	1	1	yes	characteristic
276	#4092	C₂³	1	1	yes	characteristic
277	#4092	C₂³	1	1	yes	characteristic
278	#4092	C₂³	1	1	yes	characteristic
279	Q₈×Dic₅	C₂³	1	1	yes	characteristic, complemented
280	Q₈×Dic₅	C₂³	1	1	yes	characteristic, complemented
281	#4090	—	2	1	no	—
282	#4090	C₂³	1	1	yes	characteristic, complemented
283	C₂×#689	C₂³	1	1	yes	characteristic, complemented
284	C₂×#688	C₂³	1	1	yes	characteristic
285	C₂×#688	C₂³	1	1	yes	characteristic
286	C₂×#688	C₂³	1	1	yes	characteristic
287	C₂×#688	C₂³	1	1	yes	characteristic
288	C₂×#688	C₂³	1	1	yes	characteristic, complemented
289	#4086	—	2	1	no	—
290	#4086	C₂³	1	1	yes	characteristic
291	#4086	C₂³	1	1	yes	characteristic
292	#4085	—	2	1	no	—
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	#4085	—	2	1	no	—
300	#4085	—	2	1	no	—
301	#4085	—	2	1	no	—
302	#4084	—	2	1	no	—
303	#4084	D₄	1	1	yes	characteristic
304	#4084	D₄	1	1	yes	characteristic
305	#4084	C₂³	1	1	yes	characteristic
306	#4084	C₂³	1	1	yes	characteristic
307	#4083	—	2	1	no	—
308	#4083	—	2	1	no	—
309	#4083	—	2	1	no	—
310	#4083	—	2	1	no	—
311	#4083	—	2	1	no	—
312	#4083	—	2	1	no	—
313	#4083	—	2	1	no	—
314	#4083	—	2	1	no	—
315	#4083	—	2	1	no	—
316	#4083	—	2	1	no	—
317	#4083	—	2	1	no	—
318	#4083	—	2	1	no	—
319	#4083	—	2	1	no	—
320	#4083	D₄	1	1	yes	characteristic
321	#4083	D₄	1	1	yes	characteristic
322	#4081	—	2	1	no	—
323	#4081	D₄	1	1	yes	characteristic
324	#4081	D₄	1	1	yes	characteristic
325	D₄×Dic₅	—	2	1	no	—
326	D₄×Dic₅	—	2	1	no	—
327	D₄×Dic₅	C₂³	1	1	yes	characteristic
328	D₄×Dic₅	C₂³	1	1	yes	characteristic
329	D₄×Dic₅	C₂³	1	1	yes	characteristic
330	D₄×Dic₅	C₂³	1	1	yes	characteristic
331	C₂×#687	C₂³	1	1	yes	characteristic
332	C₂×#687	C₂³	1	1	yes	characteristic
333	C₂×#687	C₂³	1	1	yes	characteristic, complemented
334	#4078	—	4	2	no	—
335	C₂×#686	C₂³	1	1	yes	characteristic
336	C₂×#686	C₂³	1	1	yes	characteristic
337	C₂×#686	C₂³	1	1	yes	characteristic, complemented
338	#4076	—	2	1	no	—
339	#4076	—	2	1	no	—
340	#4076	—	2	1	no	—
341	#4076	C₂³	1	1	yes	characteristic
342	#4076	C₂³	1	1	yes	characteristic
343	#4076	C₂³	1	1	yes	characteristic
344	#4076	C₂³	1	1	yes	characteristic
345	#4076	C₂³	1	1	yes	characteristic
346	#4076	C₂³	1	1	yes	characteristic, complemented
347	#4075	—	2	1	no	—
348	#4075	—	2	1	no	—
349	#4075	—	2	1	no	—
350	#4075	—	2	1	no	—
351	C₄×C₂²⋊D₅	—	2	1	no	—
352	C₄×C₂²⋊D₅	—	2	1	no	—
353	C₄×C₂²⋊D₅	—	2	1	no	—
354	C₄×C₂²⋊D₅	—	2	1	no	—
355	C₄×C₂²⋊D₅	C₂³	1	1	yes	characteristic
356	C₄×C₂²⋊D₅	C₂³	1	1	yes	characteristic
357	C₄×C₂²⋊D₅	C₂³	1	1	yes	characteristic
358	C₄×C₂²⋊D₅	C₂³	1	1	yes	characteristic
359	C₂×#685	—	2	1	no	—
360	C₂×#685	—	2	1	no	—
361	C₂×#685	—	2	1	no	—
362	C₂×#685	—	2	1	no	—
363	#4072	C₂³	1	1	yes	characteristic
364	#4072	C₂³	1	1	yes	characteristic
365	C₂×C₄⋊Dic₅	C₂³	1	1	yes	characteristic, complemented
366	#4070	—	2	1	no	—
367	#4070	C₂³	1	1	yes	characteristic
368	#4070	C₂³	1	1	yes	characteristic, complemented
369	C₂×#681	C₂³	1	1	yes	characteristic, complemented
370	C₂²×#168	C₂³	1	1	yes	characteristic, complemented
371	#4060	—	4	2	no	—
372	#4060	—	4	2	no	—
373	D₅×SD₁₆	—	4	2	no	—
374	D₅×SD₁₆	—	4	2	no	—
375	C₂×D₄₀	C₂³	1	1	yes	characteristic
376	C₂×D₄₀	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	#4044	—	2	1	no	—
384	#4044	—	2	1	no	—
385	#4043	—	2	1	no	—
386	#4043	—	2	1	no	—
387	#4043	C₂³	1	1	yes	characteristic
388	#4042	—	2	1	no	—
389	#4042	—	2	1	no	—
390	#4041	C₂³	1	1	yes	characteristic
391	#4040	—	2	1	no	—
392	#4040	—	2	1	no	—
393	#4039	—	2	1	no	—
394	#4039	—	2	1	no	—
395	#4039	C₂³	1	1	yes	characteristic, complemented
396	#4038	C₂³	1	1	yes	characteristic
397	D₅×C₄⋊C₄	—	2	1	no	—
398	D₅×C₄⋊C₄	—	2	1	no	—
399	D₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
400	#4036	—	2	1	no	—
401	#4036	—	2	1	no	—
402	#4036	C₂³	1	1	yes	characteristic, complemented
403	#4035	—	2	1	no	—
404	#4035	—	2	1	no	—
405	#4034	C₂³	1	1	yes	characteristic, complemented
406	#4033	C₂³	1	1	yes	characteristic, complemented
407	#4032	—	2	1	no	—
408	#4031	—	2	1	no	—
409	#4031	—	2	1	no	—
410	#4031	—	2	1	no	—
411	#4030	—	2	1	no	—
412	#4030	—	2	1	no	—
413	#4030	—	2	1	no	—
414	#4029	—	2	1	no	—
415	#4029	—	2	1	no	—
416	#4029	—	2	1	no	—
417	#4028	—	2	1	no	—
418	#4027	—	2	1	no	—
419	#4027	—	2	1	no	—
420	D₅×C₂²⋊C₄	—	2	1	no	—
421	#4025	—	2	1	no	—
422	#4025	—	2	1	no	—
423	#4025	—	2	1	no	—
424	#4024	—	2	1	no	—
425	#4024	—	2	1	no	—
426	#4023	—	2	1	no	—
427	#4022	—	2	1	no	—
428	#4022	—	2	1	no	—
429	C₄×D₂₀	—	2	1	no	—
430	C₄×Dic₁₀	—	2	1	no	—
431	C₅×#103	C₂³	1	1	yes	characteristic, complemented
432	C₅×#103	C₂³	1	1	yes	characteristic, complemented
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, complemented
438	C₅×#102	C₂³	1	1	yes	characteristic, complemented
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, complemented
442	C₅×C₂²⋊C₈	C₂³	1	1	yes	characteristic, complemented
443	#3967	C₂³	1	1	yes	characteristic, complemented
444	#3967	C₂³	1	1	yes	characteristic, complemented
445	#3967	C₂³	1	1	yes	characteristic, complemented
446	#3967	C₂³	1	1	yes	characteristic, complemented
447	#3967	C₂³	1	1	yes	characteristic, complemented
448	#3967	C₂³	1	1	yes	characteristic, complemented
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, complemented
454	#3964	C₂³	1	1	yes	characteristic, complemented
455	C₂²⋊#168	C₂³	1	1	yes	characteristic
456	C₂²⋊#168	C₂³	1	1	yes	characteristic
457	C₂²⋊#168	C₂³	1	1	yes	characteristic, complemented
458	C₂²⋊#168	C₂³	1	1	yes	characteristic, complemented
459	#3953	C₂³	1	1	yes	characteristic
460	#3953	C₂³	1	1	yes	characteristic
461	#3953	C₂³	1	1	yes	characteristic
462	#3953	C₂³	1	1	yes	characteristic
463	#3953	C₂³	1	1	yes	characteristic, complemented
464	#3953	C₂³	1	1	yes	characteristic, complemented
465	#3952	C₂³	1	1	yes	characteristic
466	#3952	C₂³	1	1	yes	characteristic
467	#3952	C₂³	1	1	yes	characteristic
468	#3952	C₂³	1	1	yes	characteristic
469	#3950	C₂³	1	1	yes	characteristic, complemented
470	#3950	C₂³	1	1	yes	characteristic, complemented
471	#3949	C₂³	1	1	yes	characteristic, complemented
472	#3949	C₂³	1	1	yes	characteristic, complemented
473	#3948	C₂³	1	1	yes	characteristic, complemented
474	#3948	C₂³	1	1	yes	characteristic, complemented
475	#3947	C₂³	1	1	yes	characteristic, complemented
476	#3947	C₂³	1	1	yes	characteristic, complemented
477	#3946	C₂³	1	1	yes	characteristic, complemented
478	#3946	C₂³	1	1	yes	characteristic, complemented
479	#3946	C₂³	1	1	yes	characteristic, complemented
480	#3946	C₂³	1	1	yes	characteristic, complemented
481	C₈×Dic₅	C₂³	1	1	yes	characteristic, complemented
482	C₈×Dic₅	C₂³	1	1	yes	characteristic, complemented
483	#3941	C₂³	1	1	yes	characteristic
484	#3941	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, complemented
488	#3940	C₂³	1	1	yes	characteristic, complemented
489	#3939	C₂³	1	1	yes	characteristic, complemented
490	#3939	C₂³	1	1	yes	characteristic, complemented
491	#3541	—	5	1	no	—
492	#3484	—	5	1	no	—
493	#3324	—	5	1	no	—
494	#3323	—	5	1	no	—
495	#3318	—	5	1	no	—
496	#3314	—	5	1	no	—
497	#3311	—	5	1	no	—
498	#3310	—	5	1	no	—
499	#3297	—	5	1	no	—
500	#3295	—	5	1	no	—
501	#3282	—	5	1	no	—
502	D₄×SD₁₆	—	5	1	no	—
503	#3275	—	5	1	no	—
504	#3272	—	5	1	no	—
505	#3267	—	5	1	no	—
506	#3266	—	5	1	no	—
507	#3265	—	5	1	no	—
508	#3265	—	5	1	no	—
509	#3224	—	5	1	no	—
510	#3222	—	5	1	no	—
511	#3200	—	5	1	no	—
512	#3198	—	5	1	no	—
513	#3196	—	5	1	no	—
514	#3191	—	5	1	no	—
515	#3123	—	5	1	no	—
516	#3118	—	5	1	no	—
517	#3012	—	5	1	no	—
518	#3009	D₅	1	1	yes	characteristic, complemented
519	#3003	—	5	1	no	—
520	C₂×#450	—	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	—	2	1	no	—
527	C₂³×D₅	—	2	1	no	—
528	C₂³×D₅	—	2	1	no	—
529	C₂³×D₅	—	2	1	no	—
530	C₂³×D₅	—	4	4	no	—
531	C₂³×D₅	—	8	2	no	—
532	C₂³×D₅	—	8	2	no	—
533	C₂³×D₅	C₂×D₄	1	1	yes	characteristic
534	C₅×#41	—	2	2	no	—
535	C₅×#41	—	2	2	no	—
536	C₅×#41	—	4	1	no	—
537	C₅×#41	—	4	1	no	—
538	C₅×#41	—	4	1	no	—
539	C₅×#41	—	4	1	no	—
540	C₅×#41	—	4	1	no	—
541	C₅×#41	—	4	1	no	—
542	C₅×#41	—	4	4	no	—
543	C₂×C₅×Q₈	—	2	1	no	—
544	C₂×C₅×Q₈	—	4	1	no	—
545	C₂×C₅×Q₈	—	4	1	no	—
546	C₂×C₅×Q₈	C₂×D₄	1	1	yes	characteristic
547	C₂×C₅×Q₈	C₂⁴	1	1	yes	characteristic
548	C₂×C₅×Q₈	C₂⁴	1	1	yes	characteristic
549	C₂×C₅×Q₈	C₂⁴	1	1	yes	characteristic
550	C₂×C₅×D₄	—	2	2	no	—
551	C₂×C₅×D₄	—	2	2	no	—
552	C₂×C₅×D₄	—	2	2	no	—
553	C₂×C₅×D₄	—	2	2	no	—
554	C₂×C₅×D₄	—	2	1	no	—
555	C₂×C₅×D₄	—	2	1	no	—
556	C₂×C₅×D₄	—	2	1	no	—
557	C₂×C₅×D₄	—	2	1	no	—
558	C₂×C₅×D₄	—	2	1	no	—
559	C₂×C₅×D₄	—	2	1	no	—
560	C₂×C₅×D₄	—	4	1	no	—
561	C₂×C₅×D₄	—	4	1	no	—
562	C₂×C₅×D₄	—	4	4	no	—
563	C₂×C₅×D₄	—	4	4	no	—
564	C₂×C₅×D₄	—	4	4	no	—
565	C₂×C₅×D₄	C₂×D₄	1	1	yes	characteristic
566	C₂×C₅×D₄	C₂×D₄	1	1	yes	characteristic
567	C₂×C₅×D₄	C₂×D₄	1	1	yes	characteristic
568	C₂×C₅×D₄	C₂⁴	1	1	yes	characteristic
569	C₂×C₅×D₄	C₂⁴	1	1	yes	characteristic
570	C₂×C₅×D₄	C₂⁴	1	1	yes	characteristic
571	C₂²×C₄×C₅	—	2	1	no	—
572	C₂²×C₄×C₅	—	2	1	no	—
573	C₂²×C₄×C₅	—	2	1	no	—
574	C₂²×C₄×C₅	—	2	1	no	—
575	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
576	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
577	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
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	—	2	1	no	—
585	C₂×C₂²⋊D₅	—	2	1	no	—
586	C₂×C₂²⋊D₅	—	2	1	no	—
587	C₂×C₂²⋊D₅	—	2	1	no	—
588	C₂×C₂²⋊D₅	—	2	1	no	—
589	C₂×C₂²⋊D₅	—	2	1	no	—
590	C₂×C₂²⋊D₅	—	2	1	no	—
591	C₂×C₂²⋊D₅	—	2	1	no	—
592	C₂×C₂²⋊D₅	—	2	1	no	—
593	C₂×C₂²⋊D₅	—	2	1	no	—
594	C₂×C₂²⋊D₅	—	2	1	no	—
595	C₂×C₂²⋊D₅	—	4	4	no	—
596	C₂×C₂²⋊D₅	—	8	2	no	—
597	C₂×C₂²⋊D₅	—	8	2	no	—
598	C₂×C₂²⋊D₅	—	8	2	no	—
599	C₂×C₂²⋊D₅	—	8	2	no	—
600	C₂×C₂²⋊D₅	C₂×D₄	1	1	yes	characteristic
601	C₂×C₂²⋊D₅	C₂×D₄	1	1	yes	characteristic
602	C₂×C₂²⋊D₅	C₂×D₄	1	1	yes	characteristic
603	C₂×C₂²⋊D₅	C₂×D₄	1	1	yes	characteristic
604	C₂²×Dic₅	—	2	1	no	—
605	C₂²×Dic₅	—	2	1	no	—
606	C₂²×Dic₅	—	2	1	no	—
607	C₂²×Dic₅	—	2	1	no	—
608	C₂²×Dic₅	—	2	1	no	—
609	C₂²×Dic₅	C₂×D₄	1	1	yes	characteristic
610	#713	—	4	1	no	—
611	#713	—	4	1	no	—
612	Q₈×D₅	—	4	1	no	—
613	Q₈×D₅	—	4	1	no	—
614	D₄×D₅	—	2	2	no	—
615	D₄×D₅	—	2	2	no	—
616	D₄×D₅	—	2	2	no	—
617	D₄×D₅	—	2	2	no	—
618	D₄×D₅	—	4	1	no	—
619	D₄×D₅	—	4	1	no	—
620	D₄×D₅	—	4	1	no	—
621	D₄×D₅	—	4	1	no	—
622	D₄×D₅	—	4	4	no	—
623	D₄×D₅	—	4	4	no	—
624	#709	—	4	1	no	—
625	#709	—	4	1	no	—
626	C₂×D₂₀	—	2	1	no	—
627	C₂×D₂₀	—	2	1	no	—
628	C₂×D₂₀	—	2	1	no	—
629	C₂×D₂₀	—	4	1	no	—
630	C₂×D₂₀	—	4	1	no	—
631	C₂×D₂₀	C₂⁴	1	1	yes	characteristic
632	C₂×D₂₀	C₂⁴	1	1	yes	characteristic
633	C₂×D₂₀	C₂⁴	1	1	yes	characteristic
634	C₂×C₄×D₅	—	2	1	no	—
635	C₂×C₄×D₅	—	2	1	no	—
636	C₂×C₄×D₅	—	2	1	no	—
637	C₂×C₄×D₅	—	2	1	no	—
638	C₂×C₄×D₅	—	2	1	no	—
639	C₂×C₄×D₅	—	4	1	no	—
640	C₂×C₄×D₅	—	4	1	no	—
641	C₂×C₄×D₅	C₂×D₄	1	1	yes	characteristic
642	C₂×C₄×D₅	C₂×D₄	1	1	yes	characteristic
643	C₂×C₄×D₅	C₂⁴	1	1	yes	characteristic
644	C₂×C₄×D₅	C₂⁴	1	1	yes	characteristic
645	C₂×Dic₁₀	—	2	1	no	—
646	C₂×Dic₁₀	—	2	1	no	—
647	C₂×Dic₁₀	C₂⁴	1	1	yes	characteristic
648	C₅×Q₁₆	—	4	1	no	—
649	C₅×Q₁₆	—	4	1	no	—
650	C₅×SD₁₆	—	2	2	no	—
651	C₅×SD₁₆	—	2	2	no	—
652	C₅×SD₁₆	—	2	2	no	—
653	C₅×SD₁₆	—	2	2	no	—
654	C₅×SD₁₆	—	4	1	no	—
655	C₅×SD₁₆	—	4	1	no	—
656	C₅×M₁₆	—	4	1	no	—
657	C₂×C₅×C₈	—	4	1	no	—
658	C₂×C₅×C₈	C₂⁴	1	1	yes	characteristic
659	C₂×C₅×C₈	C₂⁴	1	1	yes	characteristic
660	C₂×C₅×C₈	C₂⁴	1	1	yes	characteristic
661	C₂×C₅×C₈	C₂⁴	1	1	yes	characteristic
662	C₅×C₄⋊C₄	—	2	1	no	—
663	C₅×C₄⋊C₄	—	2	1	no	—
664	C₅×C₄⋊C₄	—	2	1	no	—
665	C₅×C₄⋊C₄	—	2	1	no	—
666	C₅×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
667	C₅×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
668	C₅×C₂²⋊C₄	—	2	1	no	—
669	C₅×C₂²⋊C₄	—	2	1	no	—
670	C₅×C₂²⋊C₄	—	2	1	no	—
671	C₅×C₂²⋊C₄	—	2	1	no	—
672	C₅×C₂²⋊C₄	—	2	1	no	—
673	C₄²×C₅	—	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	—	2	1	no	—
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	C₂²⋊Dic₅	C₂×D₄	1	1	yes	characteristic
689	#689	—	4	1	no	—
690	#688	—	4	1	no	—
691	#688	—	4	1	no	—
692	#688	—	4	1	no	—
693	#688	—	4	1	no	—
694	#688	—	4	1	no	—
695	#687	—	2	2	no	—
696	#687	—	2	2	no	—
697	#687	—	4	1	no	—
698	#686	—	2	2	no	—
699	#686	—	2	2	no	—
700	#686	—	4	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	—	2	1	no	—
707	#685	—	2	1	no	—
708	#685	—	2	1	no	—
709	#685	—	2	1	no	—
710	#685	—	2	1	no	—
711	#685	—	2	1	no	—
712	#685	—	2	1	no	—
713	#685	—	2	1	no	—
714	#685	—	2	1	no	—
715	#685	—	2	1	no	—
716	#685	—	2	1	no	—
717	#685	—	2	1	no	—
718	#685	—	2	1	no	—
719	#685	—	2	1	no	—
720	#685	—	2	1	no	—
721	#685	C₂×D₄	1	1	yes	characteristic
722	#685	C₂×D₄	1	1	yes	characteristic
723	#685	C₂×D₄	1	1	yes	characteristic
724	#685	C₂×D₄	1	1	yes	characteristic
725	C₄⋊Dic₅	—	2	1	no	—
726	C₄⋊Dic₅	—	2	1	no	—
727	C₄⋊Dic₅	—	2	1	no	—
728	C₄⋊Dic₅	—	2	1	no	—
729	C₄⋊Dic₅	—	2	1	no	—
730	C₄⋊Dic₅	C₂×D₄	1	1	yes	characteristic
731	C₄⋊Dic₅	C₂×D₄	1	1	yes	characteristic
732	C₄⋊Dic₅	C₂⁴	1	1	yes	characteristic
733	C₄⋊Dic₅	C₂⁴	1	1	yes	characteristic
734	C₄⋊Dic₅	C₂⁴	1	1	yes	characteristic
735	C₄⋊Dic₅	C₂⁴	1	1	yes	characteristic
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	—	2	1	no	—
744	#683	—	2	1	no	—
745	#683	—	2	1	no	—
746	#683	—	2	1	no	—
747	#683	—	2	1	no	—
748	#683	C₂×D₄	1	1	yes	characteristic
749	#683	C₂×D₄	1	1	yes	characteristic
750	#683	C₂×D₄	1	1	yes	characteristic
751	#683	C₂×D₄	1	1	yes	characteristic
752	C₄×Dic₅	—	2	1	no	—
753	C₄×Dic₅	—	2	1	no	—
754	C₄×Dic₅	—	2	1	no	—
755	C₄×Dic₅	—	2	1	no	—
756	C₄×Dic₅	—	2	1	no	—
757	C₄×Dic₅	C₂⁴	1	1	yes	characteristic
758	C₄×Dic₅	C₂⁴	1	1	yes	characteristic
759	#681	—	4	1	no	—
760	C₂×#168	—	4	1	no	—
761	C₂×#168	C₂⁴	1	1	yes	characteristic
762	C₂×#168	C₂⁴	1	1	yes	characteristic
763	C₂×#168	C₂⁴	1	1	yes	characteristic
764	C₂×#168	C₂⁴	1	1	yes	characteristic
765	D₄₀	—	4	1	no	—
766	D₄₀	—	4	1	no	—
767	#677	—	4	1	no	—
768	#677	—	4	1	no	—
769	#676	—	4	1	no	—
770	#676	—	4	1	no	—
771	C₈×D₅	—	4	1	no	—
772	C₈×D₅	—	4	1	no	—
773	C₂×H(5,𝔽₂)	C₂×D₅	1	1	yes	characteristic
774	C₂³×D₄	—	5	1	no	—
775	C₂×#137	C₂×D₅	1	1	yes	characteristic, complemented
776	C₂×AGL(1,ℤ/8)	—	5	1	no	—
777	C₂×AGL(1,ℤ/8)	—	5	1	no	—
778	C₂×AGL(1,ℤ/8)	—	5	1	no	—
779	C₂×#135	—	5	1	no	—
780	C₂²×SD₁₆	—	5	1	no	—
781	C₂²×SD₁₆	—	5	1	no	—
782	C₂²×SD₁₆	C₂×D₅	1	1	yes	characteristic, complemented
783	#563	—	10	1	no	—
784	#562	—	10	1	no	—
785	#556	—	5	1	no	—
786	#554	—	5	1	no	—
787	#554	—	10	1	no	—
788	#553	—	5	1	no	—
789	#553	—	10	1	no	—
790	#552	—	5	1	no	—
791	D₄×Q₈	—	5	1	no	—
792	#548	—	5	1	no	—
793	#548	—	5	1	no	—
794	#547	—	5	1	no	—
795	#546	—	5	1	no	—
796	#546	—	5	1	no	—
797	#546	—	5	1	no	—
798	#546	—	5	1	no	—
799	#546	—	10	1	no	—
800	#546	—	10	1	no	—
801	D₄²	—	5	1	no	—
802	D₄²	—	5	1	no	—
803	D₄²	—	5	1	no	—
804	D₄²	—	5	1	no	—
805	D₄²	—	10	1	no	—
806	D₄²	—	10	1	no	—
807	#542	—	5	1	no	—
808	#542	—	10	1	no	—
809	#541	—	5	1	no	—
810	#539	—	10	1	no	—
811	#538	—	10	1	no	—
812	#538	—	10	1	no	—
813	#537	—	5	1	no	—
814	#536	C₂×D₅	1	1	yes	characteristic, complemented
815	#535	—	5	1	no	—
816	#535	—	5	1	no	—
817	#534	—	10	1	no	—
818	#534	—	10	1	no	—
819	#525	—	5	1	no	—
820	#525	—	5	1	no	—
821	#525	—	5	1	no	—
822	C₂×C₂²⋊Q₈	—	5	1	no	—
823	C₂×#120	—	10	1	no	—
824	C₂×#120	—	10	1	no	—
825	#518	—	5	1	no	—
826	#497	—	5	1	no	—
827	#496	—	5	1	no	—
828	#495	—	5	1	no	—
829	#492	—	5	1	no	—
830	#490	—	5	1	no	—
831	#489	—	5	1	no	—
832	#488	—	5	1	no	—
833	#486	—	5	1	no	—
834	#485	—	5	1	no	—
835	#485	—	5	1	no	—
836	#485	—	5	1	no	—
837	#485	—	5	1	no	—
838	#484	—	5	1	no	—
839	#482	—	5	1	no	—
840	#482	—	5	1	no	—
841	#482	—	5	1	no	—
842	#482	—	5	1	no	—
843	#481	—	5	1	no	—
844	#481	—	5	1	no	—
845	#480	—	5	1	no	—
846	#478	—	5	1	no	—
847	#478	—	5	1	no	—
848	#476	—	5	1	no	—
849	#474	—	5	1	no	—
850	#470	—	5	1	no	—
851	#470	—	5	1	no	—
852	#469	—	5	1	no	—
853	#468	—	5	1	no	—
854	#468	—	5	1	no	—
855	#468	—	5	1	no	—
856	#468	—	5	1	no	—
857	#468	—	5	1	no	—
858	#467	—	5	1	no	—
859	#466	—	5	1	no	—
860	#466	—	5	1	no	—
861	#465	—	5	1	no	—
862	#465	—	5	1	no	—
863	#465	—	5	1	no	—
864	#465	—	5	1	no	—
865	#465	—	5	1	no	—
866	#464	—	5	1	no	—
867	#464	—	5	1	no	—
868	#464	—	5	1	no	—
869	#463	—	5	1	no	—
870	#463	—	5	1	no	—
871	#463	—	5	1	no	—
872	#461	—	5	1	no	—
873	#461	—	5	1	no	—
874	#460	—	5	1	no	—
875	#460	—	5	1	no	—
876	#460	—	5	1	no	—
877	#459	—	5	1	no	—
878	#452	—	5	1	no	—
879	#452	—	5	1	no	—
880	#452	—	5	1	no	—
881	#452	C₂×D₅	1	1	yes	characteristic, complemented
882	#452	C₂×D₅	1	1	yes	characteristic, complemented
883	#452	C₂×D₅	1	1	yes	characteristic, complemented
884	#452	C₂×D₅	1	1	yes	characteristic, complemented
885	#451	—	5	1	no	—
886	#450	—	5	1	no	—
887	#450	—	5	1	no	—
888	#450	—	5	1	no	—
889	#450	—	5	1	no	—
890	#450	—	5	1	no	—
891	#450	—	5	1	no	—
892	#450	—	5	1	no	—
893	#450	—	5	1	no	—
894	#450	—	5	1	no	—
895	#450	—	5	1	no	—
896	#450	—	5	1	no	—
897	#450	C₂×D₅	1	1	yes	characteristic
898	#450	C₂×D₅	1	1	yes	characteristic
899	#450	C₂×D₅	1	1	yes	characteristic, complemented
900	#450	C₂×D₅	1	1	yes	characteristic, complemented
901	#449	—	5	1	no	—
902	#449	—	5	1	no	—
903	#449	—	5	1	no	—
904	#449	—	5	1	no	—
905	#449	—	5	1	no	—
906	#448	—	5	1	no	—
907	#448	—	5	1	no	—
908	#448	—	5	1	no	—
909	#447	—	5	1	no	—
910	#447	—	5	1	no	—
911	#447	—	5	1	no	—
912	#447	—	5	1	no	—
913	#447	—	5	1	no	—
914	#442	—	5	1	no	—
915	#440	—	5	1	no	—
916	#440	—	5	1	no	—
917	#440	—	5	1	no	—
918	C₄×SD₁₆	—	5	1	no	—
919	C₄×SD₁₆	—	5	1	no	—
920	C₄×SD₁₆	—	5	1	no	—
921	C₄×D₈	—	5	1	no	—
922	#436	—	5	1	no	—
923	#436	—	5	1	no	—
924	#435	—	5	1	no	—
925	#435	—	5	1	no	—
926	#435	—	5	1	no	—
927	#435	—	5	1	no	—
928	C₈×D₄	—	5	1	no	—
929	C₈×D₄	—	5	1	no	—
930	#433	—	5	1	no	—
931	#433	—	5	1	no	—
932	#418	—	5	1	no	—
933	#418	—	5	1	no	—
934	#418	C₂×D₅	1	1	yes	characteristic, complemented
935	#417	—	5	1	no	—
936	#416	C₂×D₅	1	1	yes	characteristic, complemented
937	C₂×#102	—	5	1	no	—
938	C₂×#102	—	5	1	no	—
939	C₂×#102	—	5	1	no	—
940	#408	—	5	1	no	—
941	#408	C₂×D₅	1	1	yes	characteristic, complemented
942	#407	—	5	1	no	—
943	C₂×C₂²⋊C₈	—	5	1	no	—
944	C₂³×C₅	—	2	4	no	—
945	C₂³×C₅	—	2	1	no	—
946	C₂³×C₅	—	2	1	no	—
947	C₂³×C₅	—	2	1	no	—
948	C₂³×C₅	—	4	2	no	—
949	C₂³×C₅	—	4	2	no	—
950	C₂³×C₅	—	8	1	no	—
951	C₂³×C₅	—	8	1	no	—
952	C₂³×C₅	—	8	1	no	—
953	C₂³×C₅	—	8	1	no	—
954	C₂³×C₅	—	8	1	no	—
955	C₂³×C₅	—	8	1	no	—
956	C₂³×C₅	C₂²×D₄	1	1	yes	characteristic
957	C₂³×C₅	C₂²×D₄	1	1	yes	characteristic
958	C₂³×C₅	C₂²×D₄	1	1	yes	characteristic
959	C₂²×D₅	—	2	2	no	—
960	C₂²×D₅	—	2	1	no	—
961	C₂²×D₅	—	2	1	no	—
962	C₂²×D₅	—	2	1	no	—
963	C₂²×D₅	—	4	1	no	—
964	C₂²×D₅	—	4	1	no	—
965	C₂²×D₅	—	4	2	no	—
966	C₂²×D₅	—	4	2	no	—
967	C₂²×D₅	—	4	2	no	—
968	C₂²×D₅	—	4	2	no	—
969	C₂²×D₅	—	4	2	no	—
970	C₂²×D₅	—	4	2	no	—
971	C₂²×D₅	—	4	2	no	—
972	C₂²×D₅	—	4	2	no	—
973	C₂²×D₅	—	4	2	no	—
974	C₂²×D₅	—	8	1	no	—
975	C₂²×D₅	—	8	1	no	—
976	C₂²×D₅	—	8	1	no	—
977	C₂²×D₅	—	8	1	no	—
978	C₂²×D₅	—	8	1	no	—
979	C₂²×D₅	—	8	1	no	—
980	C₂²×D₅	—	8	16	no	—
981	C₂²×D₅	C₂²×D₄	1	1	yes	characteristic
982	C₂²×D₅	C₂²×D₄	1	1	yes	characteristic
983	C₅×Q₈	—	2	1	no	—
984	C₅×Q₈	—	2	1	no	—
985	C₅×Q₈	—	2	1	no	—
986	C₅×Q₈	—	2	1	no	—
987	C₅×Q₈	—	2	1	no	—
988	C₅×Q₈	—	2	1	no	—
989	C₅×Q₈	—	4	1	no	—
990	C₅×Q₈	—	8	1	no	—
991	C₅×D₄	—	2	4	no	—
992	C₅×D₄	—	2	1	no	—
993	C₅×D₄	—	2	1	no	—
994	C₅×D₄	—	2	1	no	—
995	C₅×D₄	—	2	1	no	—
996	C₅×D₄	—	4	1	no	—
997	C₅×D₄	—	4	1	no	—
998	C₅×D₄	—	4	1	no	—
999	C₅×D₄	—	4	2	no	—
1000	C₅×D₄	—	4	2	no	—
1001	C₅×D₄	—	4	2	no	—
1002	C₅×D₄	—	4	2	no	—
1003	C₅×D₄	—	4	2	no	—
1004	C₅×D₄	H(5,𝔽₂)	1	2	yes	—
1005	C₅×D₄	H(5,𝔽₂)	1	2	yes	—
1006	C₂×C₄×C₅	—	2	1	no	—
1007	C₂×C₄×C₅	—	2	1	no	—
1008	C₂×C₄×C₅	—	2	1	no	—
1009	C₂×C₄×C₅	—	2	1	no	—
1010	C₂×C₄×C₅	—	2	1	no	—
1011	C₂×C₄×C₅	—	2	1	no	—
1012	C₂×C₄×C₅	—	2	1	no	—
1013	C₂×C₄×C₅	—	2	1	no	—
1014	C₂×C₄×C₅	—	2	1	no	—
1015	C₂×C₄×C₅	—	2	1	no	—
1016	C₂×C₄×C₅	—	2	1	no	—
1017	C₂×C₄×C₅	—	4	2	no	—
1018	C₂×C₄×C₅	—	4	2	no	—
1019	C₂×C₄×C₅	—	4	2	no	—
1020	C₂×C₄×C₅	—	8	1	no	—
1021	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
1022	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
1023	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
1024	C₂×C₄×C₅	C₂⁵	1	1	yes	characteristic
1025	C₂²⋊D₅	—	2	2	no	—
1026	C₂²⋊D₅	—	2	2	no	—
1027	C₂²⋊D₅	—	4	1	no	—
1028	C₂²⋊D₅	—	4	1	no	—
1029	C₂²⋊D₅	—	4	2	no	—
1030	C₂²⋊D₅	—	4	2	no	—
1031	C₂²⋊D₅	—	4	2	no	—
1032	C₂²⋊D₅	—	4	2	no	—
1033	C₂²⋊D₅	—	4	2	no	—
1034	C₂²⋊D₅	—	4	2	no	—
1035	C₂²⋊D₅	—	8	1	no	—
1036	C₂²⋊D₅	—	8	1	no	—
1037	C₂²⋊D₅	—	8	1	no	—
1038	C₂²⋊D₅	—	8	1	no	—
1039	C₂²⋊D₅	—	8	1	no	—
1040	C₂²⋊D₅	—	8	1	no	—
1041	C₂²⋊D₅	—	8	1	no	—
1042	C₂²⋊D₅	—	8	1	no	—
1043	C₂²⋊D₅	—	8	1	no	—
1044	C₂²⋊D₅	—	8	1	no	—
1045	C₂²⋊D₅	—	8	1	no	—
1046	C₂×Dic₅	—	2	1	no	—
1047	C₂×Dic₅	—	2	1	no	—
1048	C₂×Dic₅	—	2	1	no	—
1049	C₂×Dic₅	—	2	1	no	—
1050	C₂×Dic₅	—	2	1	no	—
1051	C₂×Dic₅	—	4	1	no	—
1052	C₂×Dic₅	—	8	1	no	—
1053	C₂×Dic₅	—	8	1	no	—
1054	C₂×Dic₅	—	8	1	no	—
1055	C₂×Dic₅	—	8	1	no	—
1056	C₂×Dic₅	—	8	1	no	—
1057	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
1058	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
1059	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
1060	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
1061	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
1062	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
1063	D₂₀	—	2	1	no	—
1064	D₂₀	—	2	1	no	—
1065	D₂₀	—	2	1	no	—
1066	D₂₀	—	2	1	no	—
1067	D₂₀	—	2	1	no	—
1068	D₂₀	—	2	1	no	—
1069	D₂₀	—	4	2	no	—
1070	D₂₀	—	4	2	no	—
1071	D₂₀	—	8	1	no	—
1072	C₄×D₅	—	2	1	no	—
1073	C₄×D₅	—	2	1	no	—
1074	C₄×D₅	—	2	1	no	—
1075	C₄×D₅	—	2	1	no	—
1076	C₄×D₅	—	4	1	no	—
1077	C₄×D₅	—	4	1	no	—
1078	C₄×D₅	—	8	1	no	—
1079	C₄×D₅	—	8	1	no	—
1080	C₄×D₅	—	8	1	no	—
1081	C₄×D₅	—	8	1	no	—
1082	C₄×D₅	—	8	1	no	—
1083	Dic₁₀	—	2	1	no	—
1084	Dic₁₀	—	2	1	no	—
1085	Dic₁₀	—	8	1	no	—
1086	Dic₁₀	—	8	1	no	—
1087	C₅×C₈	—	2	1	no	—
1088	C₅×C₈	—	2	1	no	—
1089	C₅×C₈	—	2	1	no	—
1090	C₅×C₈	—	2	1	no	—
1091	#168	—	2	1	no	—
1092	#168	—	2	1	no	—
1093	#168	—	2	1	no	—
1094	#168	—	2	1	no	—
1095	C₂⁵	—	10	1	no	—
1096	H(5,𝔽₂)	—	4	2	no	—
1097	H(5,𝔽₂)	—	4	2	no	—
1098	C₂×#41	—	2	1	no	—
1099	C₂×#41	—	5	1	no	—
1100	C₂×#41	—	5	1	no	—
1101	C₂×#41	C₂²×D₅	1	1	yes	characteristic
1102	C₂×#41	C₂²×D₅	1	1	yes	characteristic
1103	C₂×#41	C₂²×D₅	1	1	yes	characteristic
1104	C₂×#41	C₂²×D₅	1	1	yes	characteristic
1105	C₂²×Q₈	—	5	1	no	—
1106	C₂²×Q₈	C₂²×D₅	1	1	yes	characteristic, complemented
1107	C₂²×D₄	—	2	1	no	—
1108	C₂²×D₄	—	2	1	no	—
1109	C₂²×D₄	—	2	1	no	—
1110	C₂²×D₄	—	5	1	no	—
1111	C₂²×D₄	—	5	1	no	—
1112	C₂²×D₄	—	5	1	no	—
1113	C₂²×D₄	—	5	1	no	—
1114	C₂²×D₄	—	5	1	no	—
1115	C₂²×D₄	—	10	1	no	—
1116	C₂²×D₄	—	10	1	no	—
1117	C₂²×D₄	—	10	1	no	—
1118	C₂²×D₄	—	10	1	no	—
1119	C₂²×D₄	—	10	1	no	—
1120	C₂²×D₄	—	10	1	no	—
1121	C₂²×D₄	—	10	1	no	—
1122	C₂²×D₄	—	20	2	no	—
1123	C₂²×D₄	—	20	2	no	—
1124	C₂²×D₄	C₂²×D₅	1	1	yes	characteristic
1125	C₂²×D₄	C₂²×D₅	1	1	yes	characteristic
1126	C₂²×D₄	C₂²×D₅	1	1	yes	characteristic
1127	C₂³×C₄	—	5	1	no	—
1128	#137	—	4	2	no	—
1129	AGL(1,ℤ/8)	—	20	2	no	—
1130	AGL(1,ℤ/8)	—	20	2	no	—
1131	AGL(1,ℤ/8)	—	20	2	no	—
1132	#135	—	20	2	no	—
1133	C₂×Q₁₆	—	5	1	no	—
1134	C₂×Q₁₆	C₂²×D₅	1	1	yes	characteristic, complemented
1135	C₂×Q₁₆	C₂²×D₅	1	1	yes	characteristic, complemented
1136	C₂×SD₁₆	—	4	2	no	—
1137	C₂×SD₁₆	—	5	1	no	—
1138	C₂×SD₁₆	—	5	1	no	—
1139	C₂×SD₁₆	—	5	1	no	—
1140	C₂×SD₁₆	—	5	1	no	—
1141	C₂×SD₁₆	—	5	1	no	—
1142	C₂×SD₁₆	—	5	1	no	—
1143	C₂×SD₁₆	—	5	1	no	—
1144	C₂×SD₁₆	—	5	1	no	—
1145	C₂×SD₁₆	—	5	1	no	—
1146	C₂×SD₁₆	—	5	1	no	—
1147	C₂×SD₁₆	—	20	2	no	—
1148	C₂×SD₁₆	—	20	2	no	—
1149	C₂×SD₁₆	C₂²×D₅	1	1	yes	characteristic
1150	C₂×SD₁₆	C₂²×D₅	1	1	yes	characteristic
1151	C₂×SD₁₆	C₂²×D₅	1	1	yes	characteristic
1152	C₂×SD₁₆	C₂²×D₅	1	1	yes	characteristic
1153	C₂×SD₁₆	C₂²×D₅	1	1	yes	characteristic, complemented
1154	C₂×SD₁₆	C₂²×D₅	1	1	yes	characteristic, complemented
1155	C₂×D₈	—	5	1	no	—
1156	C₂×D₈	—	5	1	no	—
1157	C₂×D₈	—	5	1	no	—
1158	C₂×D₈	—	5	1	no	—
1159	C₂×D₈	—	5	1	no	—
1160	C₂×M₁₆	—	5	1	no	—
1161	C₂×M₁₆	—	5	1	no	—
1162	C₂×M₁₆	—	5	1	no	—
1163	C₂×M₁₆	C₂²×D₅	1	1	yes	characteristic, complemented
1164	C₂²×C₈	—	5	1	no	—
1165	C₂²×C₈	—	5	1	no	—
1166	C₂²×C₈	—	5	1	no	—
1167	C₂²×C₈	C₂²×D₅	1	1	yes	characteristic, complemented
1168	C₄⋊Q₈	—	2	1	no	—
1169	C₄⋊Q₈	—	5	1	no	—
1170	C₄⋊Q₈	—	5	1	no	—
1171	C₄⋊Q₈	—	10	1	no	—
1172	#127	—	5	1	no	—
1173	#127	—	5	1	no	—
1174	#127	—	10	1	no	—
1175	#126	—	10	1	no	—
1176	#126	—	10	1	no	—
1177	#126	—	10	1	no	—
1178	#126	—	10	1	no	—
1179	#126	—	10	1	no	—
1180	#126	—	10	1	no	—
1181	#126	—	10	1	no	—
1182	#125	—	5	1	no	—
1183	#125	—	10	1	no	—
1184	#125	—	10	1	no	—
1185	#125	—	10	1	no	—
1186	#125	—	10	1	no	—
1187	#124	—	2	1	no	—
1188	#124	—	5	1	no	—
1189	#124	—	5	1	no	—
1190	#124	—	5	1	no	—
1191	#124	—	10	1	no	—
1192	#124	—	10	1	no	—
1193	#124	—	10	1	no	—
1194	#124	—	10	1	no	—
1195	#124	—	10	1	no	—
1196	#123	—	2	1	no	—
1197	#123	—	2	1	no	—
1198	#123	—	5	1	no	—
1199	#123	—	5	1	no	—
1200	#123	—	10	1	no	—
1201	#123	—	10	1	no	—
1202	#123	—	10	1	no	—
1203	#123	—	10	1	no	—
1204	#123	—	10	1	no	—
1205	#123	—	10	1	no	—
1206	#123	—	10	1	no	—
1207	#123	—	10	1	no	—
1208	#123	—	10	1	no	—
1209	#123	—	10	1	no	—
1210	#123	—	10	1	no	—
1211	C₂²⋊Q₈	—	5	1	no	—
1212	C₂²⋊Q₈	—	5	1	no	—
1213	C₂²⋊Q₈	—	5	1	no	—
1214	C₂²⋊Q₈	—	5	1	no	—
1215	C₂²⋊Q₈	—	5	1	no	—
1216	C₂²⋊Q₈	—	5	1	no	—
1217	C₂²⋊Q₈	—	5	1	no	—
1218	C₂²⋊Q₈	—	5	1	no	—
1219	C₂²⋊Q₈	—	5	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	—	10	1	no	—
1225	C₂²⋊Q₈	—	10	1	no	—
1226	C₂²⋊Q₈	—	10	1	no	—
1227	C₂²⋊Q₈	—	10	1	no	—
1228	C₂²⋊Q₈	—	10	1	no	—
1229	C₂²⋊Q₈	—	10	1	no	—
1230	C₂²⋊Q₈	C₂²×D₅	1	1	yes	characteristic
1231	C₂²⋊Q₈	C₂²×D₅	1	1	yes	characteristic
1232	C₂²⋊Q₈	C₂²×D₅	1	1	yes	characteristic, complemented
1233	C₂²⋊Q₈	C₂²×D₅	1	1	yes	characteristic, complemented
1234	#121	—	5	1	no	—
1235	#121	—	5	1	no	—
1236	#121	—	5	1	no	—
1237	#121	—	5	1	no	—
1238	#121	—	5	1	no	—
1239	#121	—	5	1	no	—
1240	#121	—	5	1	no	—
1241	#121	—	5	1	no	—
1242	#121	—	5	1	no	—
1243	#121	—	5	1	no	—
1244	#121	—	5	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	#121	—	10	1	no	—
1254	#121	—	10	1	no	—
1255	#121	—	10	1	no	—
1256	#121	—	10	1	no	—
1257	#121	—	10	1	no	—
1258	#121	—	10	1	no	—
1259	#121	—	10	1	no	—
1260	#121	—	10	1	no	—
1261	#121	—	10	1	no	—
1262	#120	—	5	1	no	—
1263	#120	—	5	1	no	—
1264	#120	—	10	1	no	—
1265	#120	—	10	1	no	—
1266	#120	—	10	1	no	—
1267	#120	—	10	1	no	—
1268	#120	—	10	1	no	—
1269	#120	—	10	1	no	—
1270	#120	—	10	1	no	—
1271	#120	—	10	1	no	—
1272	#120	—	10	1	no	—
1273	#120	—	10	1	no	—
1274	#120	—	10	1	no	—
1275	#120	—	10	1	no	—
1276	#120	—	10	1	no	—
1277	#120	—	10	1	no	—
1278	#120	—	10	1	no	—
1279	#120	—	10	1	no	—
1280	#120	—	10	1	no	—
1281	#120	—	10	1	no	—
1282	C₄×Q₈	—	5	1	no	—
1283	C₄×Q₈	—	5	1	no	—
1284	C₄×Q₈	—	5	1	no	—
1285	C₄×Q₈	—	10	1	no	—
1286	C₄×D₄	—	5	1	no	—
1287	C₄×D₄	—	5	1	no	—
1288	C₄×D₄	—	5	1	no	—
1289	C₄×D₄	—	5	1	no	—
1290	C₄×D₄	—	5	1	no	—
1291	C₄×D₄	—	5	1	no	—
1292	C₄×D₄	—	5	1	no	—
1293	C₄×D₄	—	5	1	no	—
1294	C₄×D₄	—	5	1	no	—
1295	C₄×D₄	—	10	1	no	—
1296	C₄×D₄	—	10	1	no	—
1297	C₄×D₄	—	10	1	no	—
1298	C₄×D₄	—	10	1	no	—
1299	C₄×D₄	—	10	1	no	—
1300	C₄×D₄	—	10	1	no	—
1301	C₄×D₄	—	10	1	no	—
1302	C₄×D₄	—	10	1	no	—
1303	C₄×D₄	—	10	1	no	—
1304	C₄×D₄	—	10	1	no	—
1305	C₄×D₄	—	10	1	no	—
1306	#117	—	5	1	no	—
1307	#117	—	5	1	no	—
1308	#117	—	5	1	no	—
1309	#117	—	10	1	no	—
1310	#117	C₂²×D₅	1	1	yes	characteristic, complemented
1311	C₂×C₄⋊C₄	—	5	1	no	—
1312	C₂×C₄⋊C₄	—	5	1	no	—
1313	C₂×C₄⋊C₄	—	10	1	no	—
1314	C₂×C₄⋊C₄	—	10	1	no	—
1315	C₂×C₂²⋊C₄	—	10	1	no	—
1316	C₂×C₂²⋊C₄	—	10	1	no	—
1317	C₂×C₂²⋊C₄	—	10	1	no	—
1318	C₂×C₂²⋊C₄	—	10	1	no	—
1319	C₂×C₂²⋊C₄	—	10	1	no	—
1320	C₂×C₂²⋊C₄	—	10	1	no	—
1321	C₂×C₂²⋊C₄	—	10	1	no	—
1322	#107	—	5	1	no	—
1323	#107	—	5	1	no	—
1324	#107	—	5	1	no	—
1325	#107	—	5	1	no	—
1326	#106	—	5	1	no	—
1327	#106	—	5	1	no	—
1328	#106	—	5	1	no	—
1329	#106	—	5	1	no	—
1330	C₄⋊C₈	—	5	1	no	—
1331	C₄⋊C₈	—	5	1	no	—
1332	C₄⋊C₈	—	5	1	no	—
1333	C₄⋊C₈	—	5	1	no	—
1334	#103	—	5	1	no	—
1335	#103	—	5	1	no	—
1336	#103	—	5	1	no	—
1337	#103	—	5	1	no	—
1338	#103	—	5	1	no	—
1339	#103	—	5	1	no	—
1340	#103	—	5	1	no	—
1341	#103	—	5	1	no	—
1342	#103	C₂²×D₅	1	1	yes	characteristic, complemented
1343	#103	C₂²×D₅	1	1	yes	characteristic, complemented
1344	#102	—	5	1	no	—
1345	#102	—	5	1	no	—
1346	#102	—	5	1	no	—
1347	#102	—	5	1	no	—
1348	#102	—	5	1	no	—
1349	#102	—	5	1	no	—
1350	#102	—	5	1	no	—
1351	#102	—	5	1	no	—
1352	#102	—	5	1	no	—
1353	#102	—	5	1	no	—
1354	#102	—	5	1	no	—
1355	#102	—	5	1	no	—
1356	#102	—	5	1	no	—
1357	#102	—	5	1	no	—
1358	#102	—	5	1	no	—
1359	#102	—	5	1	no	—
1360	#102	C₂²×D₅	1	1	yes	characteristic
1361	#102	C₂²×D₅	1	1	yes	characteristic
1362	#102	C₂²×D₅	1	1	yes	characteristic
1363	#102	C₂²×D₅	1	1	yes	characteristic
1364	#102	C₂²×D₅	1	1	yes	characteristic, complemented
1365	#102	C₂²×D₅	1	1	yes	characteristic, complemented
1366	C₂²⋊C₈	—	5	1	no	—
1367	C₂²⋊C₈	—	5	1	no	—
1368	C₂²⋊C₈	—	5	1	no	—
1369	C₂²⋊C₈	—	5	1	no	—
1370	C₂²⋊C₈	—	5	1	no	—
1371	C₂²⋊C₈	—	5	1	no	—
1372	C₂²⋊C₈	—	5	1	no	—
1373	C₂²⋊C₈	—	5	1	no	—
1374	C₂²⋊C₈	C₂²×D₅	1	1	yes	characteristic
1375	C₂²⋊C₈	C₂²×D₅	1	1	yes	characteristic
1376	C₂²⋊C₈	C₂²×D₅	1	1	yes	characteristic, complemented
1377	C₂²⋊C₈	C₂²×D₅	1	1	yes	characteristic, complemented
1378	#97	—	5	1	no	—
1379	#97	—	5	1	no	—
1380	C₄×C₈	—	5	1	no	—
1381	C₄×C₈	—	5	1	no	—
1382	C₂²×C₅	—	2	1	no	—
1383	C₂²×C₅	—	2	1	no	—
1384	C₂²×C₅	—	2	1	no	—
1385	C₂²×C₅	—	2	1	no	—
1386	C₂²×C₅	—	2	2	no	—
1387	C₂²×C₅	—	2	2	no	—
1388	C₂²×C₅	—	2	1	no	—
1389	C₂²×C₅	—	2	1	no	—
1390	C₂²×C₅	—	2	1	no	—
1391	C₂²×C₅	—	2	1	no	—
1392	C₂²×C₅	—	2	1	no	—
1393	C₂²×C₅	—	4	1	no	—
1394	C₂²×C₅	—	4	1	no	—
1395	C₂²×C₅	—	4	1	no	—
1396	C₂²×C₅	—	4	1	no	—
1397	C₂²×C₅	—	4	1	no	—
1398	C₂²×C₅	—	4	1	no	—
1399	C₂²×C₅	—	4	1	no	—
1400	C₂²×C₅	—	8	4	no	—
1401	C₂²×C₅	—	16	2	no	—
1402	C₂²×C₅	—	16	2	no	—
1403	C₂²×C₅	C₂³×D₄	1	1	yes	characteristic
1404	C₂×D₅	—	2	1	no	—
1405	C₂×D₅	—	2	1	no	—
1406	C₂×D₅	—	2	1	no	—
1407	C₂×D₅	—	2	1	no	—
1408	C₂×D₅	—	2	1	no	—
1409	C₂×D₅	—	4	4	no	—
1410	C₂×D₅	—	4	1	no	—
1411	C₂×D₅	—	4	1	no	—
1412	C₂×D₅	—	4	1	no	—
1413	C₂×D₅	—	4	1	no	—
1414	C₂×D₅	—	4	1	no	—
1415	C₂×D₅	—	4	1	no	—
1416	C₂×D₅	—	4	1	no	—
1417	C₂×D₅	—	4	1	no	—
1418	C₂×D₅	—	4	1	no	—
1419	C₂×D₅	—	8	4	no	—
1420	C₂×D₅	—	8	4	no	—
1421	C₂×D₅	—	8	4	no	—
1422	C₂×D₅	—	8	4	no	—
1423	C₂×D₅	—	8	4	no	—
1424	C₂×D₅	#577	1	2	yes	—
1425	C₄×C₅	—	2	1	no	—
1426	C₄×C₅	—	2	1	no	—
1427	C₄×C₅	—	2	1	no	—
1428	C₄×C₅	—	4	1	no	—
1429	C₄×C₅	—	4	1	no	—
1430	C₄×C₅	—	4	1	no	—
1431	C₄×C₅	—	4	1	no	—
1432	C₄×C₅	—	4	1	no	—
1433	C₄×C₅	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1434	C₄×C₅	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1435	Dic₅	—	2	1	no	—
1436	Dic₅	—	2	1	no	—
1437	Dic₅	—	2	1	no	—
1438	Dic₅	—	2	1	no	—
1439	Dic₅	—	2	1	no	—
1440	Dic₅	—	2	1	no	—
1441	Dic₅	—	4	1	no	—
1442	Dic₅	—	4	1	no	—
1443	Dic₅	—	4	1	no	—
1444	Dic₅	—	4	1	no	—
1445	Dic₅	—	4	1	no	—
1446	C₂⁴	—	2	1	no	—
1447	C₂⁴	—	2	1	no	—
1448	C₂⁴	—	2	1	no	—
1449	C₂⁴	—	5	1	no	—
1450	C₂⁴	—	10	1	no	—
1451	C₂⁴	—	10	1	no	—
1452	C₂⁴	—	10	1	no	—
1453	C₂⁴	—	10	1	no	—
1454	C₂⁴	—	10	1	no	—
1455	C₂⁴	—	20	4	no	—
1456	C₂⁴	—	40	2	no	—
1457	C₂⁴	—	40	2	no	—
1458	#41	—	2	2	no	—
1459	#41	—	2	2	no	—
1460	#41	—	4	1	no	—
1461	#41	—	4	1	no	—
1462	#41	—	4	1	no	—
1463	#41	—	4	1	no	—
1464	#41	—	4	1	no	—
1465	#41	—	4	1	no	—
1466	#41	—	4	4	no	—
1467	#41	—	20	1	no	—
1468	#41	—	20	1	no	—
1469	#41	—	20	1	no	—
1470	#41	—	20	1	no	—
1471	C₂×Q₈	—	2	1	no	—
1472	C₂×Q₈	—	4	1	no	—
1473	C₂×Q₈	—	4	1	no	—
1474	C₂×Q₈	—	5	1	no	—
1475	C₂×Q₈	—	10	1	no	—
1476	C₂×Q₈	—	10	1	no	—
1477	C₂×Q₈	—	20	1	no	—
1478	C₂×Q₈	—	20	1	no	—
1479	C₂×Q₈	D₄×D₅	1	1	yes	characteristic
1480	C₂×Q₈	C₂³×D₅	1	1	yes	characteristic
1481	C₂×Q₈	C₂³×D₅	1	1	yes	characteristic
1482	C₂×Q₈	C₂³×D₅	1	1	yes	characteristic
1483	C₂×D₄	—	2	2	no	—
1484	C₂×D₄	—	2	2	no	—
1485	C₂×D₄	—	2	2	no	—
1486	C₂×D₄	—	2	2	no	—
1487	C₂×D₄	—	2	1	no	—
1488	C₂×D₄	—	2	1	no	—
1489	C₂×D₄	—	2	1	no	—
1490	C₂×D₄	—	2	1	no	—
1491	C₂×D₄	—	2	1	no	—
1492	C₂×D₄	—	2	1	no	—
1493	C₂×D₄	—	4	1	no	—
1494	C₂×D₄	—	4	1	no	—
1495	C₂×D₄	—	4	4	no	—
1496	C₂×D₄	—	4	4	no	—
1497	C₂×D₄	—	4	4	no	—
1498	C₂×D₄	—	5	1	no	—
1499	C₂×D₄	—	5	1	no	—
1500	C₂×D₄	—	5	1	no	—
1501	C₂×D₄	—	5	1	no	—
1502	C₂×D₄	—	5	1	no	—
1503	C₂×D₄	—	5	1	no	—
1504	C₂×D₄	—	5	1	no	—
1505	C₂×D₄	—	10	1	no	—
1506	C₂×D₄	—	10	1	no	—
1507	C₂×D₄	—	10	1	no	—
1508	C₂×D₄	—	10	1	no	—
1509	C₂×D₄	—	10	1	no	—
1510	C₂×D₄	—	10	1	no	—
1511	C₂×D₄	—	10	1	no	—
1512	C₂×D₄	—	10	1	no	—
1513	C₂×D₄	—	10	1	no	—
1514	C₂×D₄	—	10	1	no	—
1515	C₂×D₄	—	10	2	no	—
1516	C₂×D₄	—	10	2	no	—
1517	C₂×D₄	—	10	2	no	—
1518	C₂×D₄	—	10	2	no	—
1519	C₂×D₄	—	10	1	no	—
1520	C₂×D₄	—	10	1	no	—
1521	C₂×D₄	—	10	1	no	—
1522	C₂×D₄	—	10	1	no	—
1523	C₂×D₄	—	10	1	no	—
1524	C₂×D₄	—	10	1	no	—
1525	C₂×D₄	—	10	1	no	—
1526	C₂×D₄	—	10	1	no	—
1527	C₂×D₄	—	10	1	no	—
1528	C₂×D₄	—	10	1	no	—
1529	C₂×D₄	—	20	1	no	—
1530	C₂×D₄	—	20	1	no	—
1531	C₂×D₄	—	20	1	no	—
1532	C₂×D₄	—	20	1	no	—
1533	C₂×D₄	—	20	1	no	—
1534	C₂×D₄	—	20	1	no	—
1535	C₂×D₄	—	20	4	no	—
1536	C₂×D₄	—	20	4	no	—
1537	C₂×D₄	—	20	4	no	—
1538	C₂×D₄	—	40	2	no	—
1539	C₂×D₄	—	40	2	no	—
1540	C₂×D₄	—	40	2	no	—
1541	C₂×D₄	—	40	2	no	—
1542	C₂×D₄	D₄×D₅	1	1	yes	characteristic
1543	C₂×D₄	D₄×D₅	1	1	yes	characteristic
1544	C₂×D₄	D₄×D₅	1	1	yes	characteristic
1545	C₂×D₄	C₂³×D₅	1	1	yes	characteristic
1546	C₂×D₄	C₂³×D₅	1	1	yes	characteristic
1547	C₂×D₄	C₂³×D₅	1	1	yes	characteristic
1548	C₂²×C₄	—	2	1	no	—
1549	C₂²×C₄	—	2	1	no	—
1550	C₂²×C₄	—	2	1	no	—
1551	C₂²×C₄	—	2	1	no	—
1552	C₂²×C₄	—	5	1	no	—
1553	C₂²×C₄	—	5	1	no	—
1554	C₂²×C₄	—	5	1	no	—
1555	C₂²×C₄	—	5	1	no	—
1556	C₂²×C₄	—	5	1	no	—
1557	C₂²×C₄	—	10	1	no	—
1558	C₂²×C₄	—	10	1	no	—
1559	C₂²×C₄	—	10	1	no	—
1560	C₂²×C₄	—	10	1	no	—
1561	C₂²×C₄	—	10	1	no	—
1562	C₂²×C₄	—	10	1	no	—
1563	C₂²×C₄	—	10	1	no	—
1564	C₂²×C₄	—	10	1	no	—
1565	C₂²×C₄	—	10	1	no	—
1566	C₂²×C₄	—	10	1	no	—
1567	C₂²×C₄	—	20	1	no	—
1568	C₂²×C₄	—	20	1	no	—
1569	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1570	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1571	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1572	Q₁₆	—	4	1	no	—
1573	Q₁₆	—	4	1	no	—
1574	Q₁₆	—	20	1	no	—
1575	SD₁₆	—	2	2	no	—
1576	SD₁₆	—	2	2	no	—
1577	SD₁₆	—	2	2	no	—
1578	SD₁₆	—	2	2	no	—
1579	SD₁₆	—	4	1	no	—
1580	SD₁₆	—	4	1	no	—
1581	SD₁₆	—	10	2	no	—
1582	SD₁₆	—	10	2	no	—
1583	SD₁₆	—	20	1	no	—
1584	SD₁₆	—	20	1	no	—
1585	SD₁₆	—	20	1	no	—
1586	SD₁₆	—	20	1	no	—
1587	SD₁₆	—	20	1	no	—
1588	SD₁₆	—	20	1	no	—
1589	SD₁₆	—	20	1	no	—
1590	SD₁₆	—	20	1	no	—
1591	D₈	—	10	2	no	—
1592	D₈	—	10	2	no	—
1593	D₈	—	20	1	no	—
1594	D₈	—	20	1	no	—
1595	D₈	—	20	1	no	—
1596	M₁₆	—	4	1	no	—
1597	M₁₆	—	20	1	no	—
1598	M₁₆	—	20	1	no	—
1599	M₁₆	—	20	1	no	—
1600	C₂×C₈	—	4	1	no	—
1601	C₂×C₈	—	5	1	no	—
1602	C₂×C₈	—	5	1	no	—
1603	C₂×C₈	—	5	1	no	—
1604	C₂×C₈	—	5	1	no	—
1605	C₂×C₈	—	20	1	no	—
1606	C₂×C₈	—	20	1	no	—
1607	C₂×C₈	—	20	1	no	—
1608	C₂×C₈	C₂³×D₅	1	1	yes	characteristic
1609	C₂×C₈	C₂³×D₅	1	1	yes	characteristic
1610	C₂×C₈	C₂³×D₅	1	1	yes	characteristic
1611	C₂×C₈	C₂³×D₅	1	1	yes	characteristic
1612	C₄⋊C₄	—	2	1	no	—
1613	C₄⋊C₄	—	2	1	no	—
1614	C₄⋊C₄	—	2	1	no	—
1615	C₄⋊C₄	—	2	1	no	—
1616	C₄⋊C₄	—	5	1	no	—
1617	C₄⋊C₄	—	5	1	no	—
1618	C₄⋊C₄	—	5	1	no	—
1619	C₄⋊C₄	—	5	1	no	—
1620	C₄⋊C₄	—	5	1	no	—
1621	C₄⋊C₄	—	5	1	no	—
1622	C₄⋊C₄	—	5	1	no	—
1623	C₄⋊C₄	—	5	1	no	—
1624	C₄⋊C₄	—	5	1	no	—
1625	C₄⋊C₄	—	5	1	no	—
1626	C₄⋊C₄	—	10	1	no	—
1627	C₄⋊C₄	—	10	1	no	—
1628	C₄⋊C₄	—	10	1	no	—
1629	C₄⋊C₄	—	10	1	no	—
1630	C₄⋊C₄	—	10	1	no	—
1631	C₄⋊C₄	—	10	1	no	—
1632	C₄⋊C₄	—	10	1	no	—
1633	C₄⋊C₄	—	10	1	no	—
1634	C₄⋊C₄	—	10	1	no	—
1635	C₄⋊C₄	—	10	1	no	—
1636	C₄⋊C₄	—	10	1	no	—
1637	C₄⋊C₄	—	10	1	no	—
1638	C₄⋊C₄	—	10	1	no	—
1639	C₄⋊C₄	—	10	1	no	—
1640	C₄⋊C₄	—	10	1	no	—
1641	C₄⋊C₄	—	10	1	no	—
1642	C₄⋊C₄	—	10	1	no	—
1643	C₄⋊C₄	C₂³×D₅	1	1	yes	characteristic
1644	C₄⋊C₄	C₂³×D₅	1	1	yes	characteristic
1645	C₂²⋊C₄	—	2	1	no	—
1646	C₂²⋊C₄	—	2	1	no	—
1647	C₂²⋊C₄	—	2	1	no	—
1648	C₂²⋊C₄	—	2	1	no	—
1649	C₂²⋊C₄	—	2	1	no	—
1650	C₂²⋊C₄	—	5	1	no	—
1651	C₂²⋊C₄	—	5	1	no	—
1652	C₂²⋊C₄	—	5	1	no	—
1653	C₂²⋊C₄	—	5	1	no	—
1654	C₂²⋊C₄	—	5	1	no	—
1655	C₂²⋊C₄	—	5	1	no	—
1656	C₂²⋊C₄	—	5	1	no	—
1657	C₂²⋊C₄	—	5	1	no	—
1658	C₂²⋊C₄	—	5	1	no	—
1659	C₂²⋊C₄	—	5	1	no	—
1660	C₂²⋊C₄	—	10	1	no	—
1661	C₂²⋊C₄	—	10	1	no	—
1662	C₂²⋊C₄	—	10	1	no	—
1663	C₂²⋊C₄	—	10	1	no	—
1664	C₂²⋊C₄	—	10	1	no	—
1665	C₂²⋊C₄	—	10	1	no	—
1666	C₂²⋊C₄	—	10	1	no	—
1667	C₂²⋊C₄	—	10	1	no	—
1668	C₂²⋊C₄	—	10	1	no	—
1669	C₂²⋊C₄	—	10	1	no	—
1670	C₂²⋊C₄	—	10	1	no	—
1671	C₂²⋊C₄	—	10	1	no	—
1672	C₂²⋊C₄	—	10	1	no	—
1673	C₂²⋊C₄	—	10	1	no	—
1674	C₂²⋊C₄	—	10	1	no	—
1675	C₂²⋊C₄	—	10	1	no	—
1676	C₂²⋊C₄	—	10	1	no	—
1677	C₂²⋊C₄	—	10	1	no	—
1678	C₂²⋊C₄	—	10	1	no	—
1679	C₂²⋊C₄	—	10	1	no	—
1680	C₂²⋊C₄	—	10	1	no	—
1681	C₂²⋊C₄	—	10	1	no	—
1682	C₂²⋊C₄	—	10	1	no	—
1683	C₂²⋊C₄	—	10	1	no	—
1684	C₂²⋊C₄	—	10	1	no	—
1685	C₂²⋊C₄	—	10	1	no	—
1686	C₂²⋊C₄	—	10	1	no	—
1687	C₂²⋊C₄	—	10	1	no	—
1688	C₂²⋊C₄	—	10	1	no	—
1689	C₄²	—	2	1	no	—
1690	C₄²	—	5	1	no	—
1691	C₄²	—	5	1	no	—
1692	C₄²	—	10	1	no	—
1693	C₄²	—	10	1	no	—
1694	C₄²	—	10	1	no	—
1695	C₄²	—	10	1	no	—
1696	C₄²	—	10	1	no	—
1697	C₂×C₅	—	4	1	no	—
1698	C₂×C₅	—	4	2	no	—
1699	C₂×C₅	—	4	2	no	—
1700	C₂×C₅	—	4	1	no	—
1701	C₂×C₅	—	4	1	no	—
1702	C₂×C₅	—	8	1	no	—
1703	C₂×C₅	#3484	1	1	yes	characteristic
1704	C₂×C₅	C₂×#577	1	1	yes	characteristic
1705	C₂×C₅	#3585	1	1	yes	characteristic
1706	D₅	—	2	2	no	—
1707	D₅	—	4	1	no	—
1708	D₅	—	8	1	no	—
1709	D₅	—	8	1	no	—
1710	D₅	—	8	1	no	—
1711	C₂³	—	2	4	no	—
1712	C₂³	—	2	1	no	—
1713	C₂³	—	2	1	no	—
1714	C₂³	—	2	1	no	—
1715	C₂³	—	4	2	no	—
1716	C₂³	—	4	2	no	—
1717	C₂³	—	5	1	no	—
1718	C₂³	—	5	1	no	—
1719	C₂³	—	8	1	no	—
1720	C₂³	—	8	1	no	—
1721	C₂³	—	8	1	no	—
1722	C₂³	—	8	1	no	—
1723	C₂³	—	8	1	no	—
1724	C₂³	—	8	1	no	—
1725	C₂³	—	10	2	no	—
1726	C₂³	—	10	1	no	—
1727	C₂³	—	10	1	no	—
1728	C₂³	—	10	1	no	—
1729	C₂³	—	20	1	no	—
1730	C₂³	—	20	1	no	—
1731	C₂³	—	20	2	no	—
1732	C₂³	—	20	2	no	—
1733	C₂³	—	20	2	no	—
1734	C₂³	—	20	2	no	—
1735	C₂³	—	20	2	no	—
1736	C₂³	—	20	2	no	—
1737	C₂³	—	20	2	no	—
1738	C₂³	—	20	2	no	—
1739	C₂³	—	20	2	no	—
1740	C₂³	—	40	1	no	—
1741	C₂³	—	40	1	no	—
1742	C₂³	—	40	1	no	—
1743	C₂³	—	40	1	no	—
1744	C₂³	—	40	1	no	—
1745	C₂³	—	40	1	no	—
1746	C₂³	—	40	16	no	—
1747	C₂³	C₂×D₄×D₅	1	1	yes	characteristic
1748	C₂³	C₂×D₄×D₅	1	1	yes	characteristic
1749	C₂³	C₂×D₄×D₅	1	1	yes	characteristic
1750	Q₈	—	2	1	no	—
1751	Q₈	—	2	1	no	—
1752	Q₈	—	2	1	no	—
1753	Q₈	—	2	1	no	—
1754	Q₈	—	2	1	no	—
1755	Q₈	—	2	1	no	—
1756	Q₈	—	4	1	no	—
1757	Q₈	—	8	1	no	—
1758	Q₈	—	10	1	no	—
1759	Q₈	—	10	1	no	—
1760	Q₈	—	40	1	no	—
1761	Q₈	—	40	1	no	—
1762	D₄	—	2	4	no	—
1763	D₄	—	2	1	no	—
1764	D₄	—	2	1	no	—
1765	D₄	—	2	1	no	—
1766	D₄	—	2	1	no	—
1767	D₄	—	4	1	no	—
1768	D₄	—	4	1	no	—
1769	D₄	—	4	1	no	—
1770	D₄	—	4	2	no	—
1771	D₄	—	4	2	no	—
1772	D₄	—	4	2	no	—
1773	D₄	—	4	2	no	—
1774	D₄	—	4	2	no	—
1775	D₄	—	10	2	no	—
1776	D₄	—	10	2	no	—
1777	D₄	—	10	1	no	—
1778	D₄	—	10	1	no	—
1779	D₄	—	10	1	no	—
1780	D₄	—	10	1	no	—
1781	D₄	—	10	1	no	—
1782	D₄	—	10	1	no	—
1783	D₄	—	20	2	no	—
1784	D₄	—	20	2	no	—
1785	D₄	—	20	1	no	—
1786	D₄	—	20	1	no	—
1787	D₄	—	20	2	no	—
1788	D₄	—	20	2	no	—
1789	D₄	—	20	2	no	—
1790	D₄	—	20	2	no	—
1791	D₄	—	20	2	no	—
1792	D₄	—	20	2	no	—
1793	D₄	—	40	1	no	—
1794	D₄	—	40	1	no	—
1795	D₄	—	40	1	no	—
1796	D₄	—	40	1	no	—
1797	D₄	—	40	1	no	—
1798	D₄	—	40	1	no	—
1799	D₄	—	40	1	no	—
1800	D₄	—	40	1	no	—
1801	D₄	—	40	1	no	—
1802	D₄	—	40	1	no	—
1803	D₄	—	40	1	no	—
1804	D₄	—	40	1	no	—
1805	D₄	#4144	1	2	yes	—
1806	D₄	#4144	1	2	yes	—
1807	C₂×C₄	—	2	1	no	—
1808	C₂×C₄	—	2	1	no	—
1809	C₂×C₄	—	2	1	no	—
1810	C₂×C₄	—	2	1	no	—
1811	C₂×C₄	—	2	1	no	—
1812	C₂×C₄	—	2	1	no	—
1813	C₂×C₄	—	2	1	no	—
1814	C₂×C₄	—	2	1	no	—
1815	C₂×C₄	—	2	1	no	—
1816	C₂×C₄	—	2	1	no	—
1817	C₂×C₄	—	2	1	no	—
1818	C₂×C₄	—	4	2	no	—
1819	C₂×C₄	—	4	2	no	—
1820	C₂×C₄	—	4	2	no	—
1821	C₂×C₄	—	5	1	no	—
1822	C₂×C₄	—	5	1	no	—
1823	C₂×C₄	—	5	1	no	—
1824	C₂×C₄	—	5	1	no	—
1825	C₂×C₄	—	5	1	no	—
1826	C₂×C₄	—	5	1	no	—
1827	C₂×C₄	—	8	1	no	—
1828	C₂×C₄	—	10	1	no	—
1829	C₂×C₄	—	10	1	no	—
1830	C₂×C₄	—	10	1	no	—
1831	C₂×C₄	—	10	1	no	—
1832	C₂×C₄	—	10	1	no	—
1833	C₂×C₄	—	10	1	no	—
1834	C₂×C₄	—	10	1	no	—
1835	C₂×C₄	—	10	1	no	—
1836	C₂×C₄	—	10	1	no	—
1837	C₂×C₄	—	20	1	no	—
1838	C₂×C₄	—	20	1	no	—
1839	C₂×C₄	—	20	1	no	—
1840	C₂×C₄	—	40	1	no	—
1841	C₂×C₄	—	40	1	no	—
1842	C₂×C₄	—	40	1	no	—
1843	C₂×C₄	—	40	1	no	—
1844	C₂×C₄	—	40	1	no	—
1845	C₂×C₄	—	40	1	no	—
1846	C₂×C₄	—	40	1	no	—
1847	C₂×C₄	—	40	1	no	—
1848	C₂×C₄	—	40	1	no	—
1849	C₂×C₄	—	40	1	no	—
1850	C₂×C₄	C₂×D₄×D₅	1	1	yes	characteristic
1851	C₂×C₄	C₂×D₄×D₅	1	1	yes	characteristic
1852	C₂×C₄	C₂×D₄×D₅	1	1	yes	characteristic
1853	C₂×C₄	C₂⁴×D₅	1	1	yes	characteristic
1854	C₈	—	2	1	no	—
1855	C₈	—	2	1	no	—
1856	C₈	—	2	1	no	—
1857	C₈	—	2	1	no	—
1858	C₈	—	10	1	no	—
1859	C₈	—	10	1	no	—
1860	C₈	—	10	1	no	—
1861	C₈	—	10	1	no	—
1862	C₅	#61610	1	1	yes	characteristic, complemented, Sylow
1863	C₂²	—	2	1	no	—
1864	C₂²	—	2	1	no	—
1865	C₂²	—	2	1	no	—
1866	C₂²	—	2	2	no	—
1867	C₂²	—	2	2	no	—
1868	C₂²	—	2	1	no	—
1869	C₂²	—	2	1	no	—
1870	C₂²	—	2	1	no	—
1871	C₂²	—	2	1	no	—
1872	C₂²	—	2	1	no	—
1873	C₂²	—	2	1	no	—
1874	C₂²	—	4	1	no	—
1875	C₂²	—	4	1	no	—
1876	C₂²	—	4	1	no	—
1877	C₂²	—	4	1	no	—
1878	C₂²	—	4	1	no	—
1879	C₂²	—	4	1	no	—
1880	C₂²	—	4	1	no	—
1881	C₂²	—	5	2	no	—
1882	C₂²	—	8	4	no	—
1883	C₂²	—	10	1	no	—
1884	C₂²	—	10	1	no	—
1885	C₂²	—	10	1	no	—
1886	C₂²	—	10	1	no	—
1887	C₂²	—	10	1	no	—
1888	C₂²	—	16	2	no	—
1889	C₂²	—	16	2	no	—
1890	C₂²	—	20	4	no	—
1891	C₂²	—	20	1	no	—
1892	C₂²	—	20	1	no	—
1893	C₂²	—	20	1	no	—
1894	C₂²	—	20	1	no	—
1895	C₂²	—	20	1	no	—
1896	C₂²	—	20	1	no	—
1897	C₂²	—	20	1	no	—
1898	C₂²	—	20	1	no	—
1899	C₂²	—	20	1	no	—
1900	C₂²	—	40	4	no	—
1901	C₂²	—	40	4	no	—
1902	C₂²	—	40	4	no	—
1903	C₂²	—	40	4	no	—
1904	C₂²	—	40	4	no	—
1905	C₂²	C₂²×D₄×D₅	1	1	yes	characteristic
1906	C₄	—	2	1	no	—
1907	C₄	—	2	1	no	—
1908	C₄	—	2	1	no	—
1909	C₄	—	4	1	no	—
1910	C₄	—	4	1	no	—
1911	C₄	—	4	1	no	—
1912	C₄	—	4	1	no	—
1913	C₄	—	4	1	no	—
1914	C₄	—	10	1	no	—
1915	C₄	—	10	1	no	—
1916	C₄	—	10	1	no	—
1917	C₄	—	10	1	no	—
1918	C₄	—	10	1	no	—
1919	C₄	—	10	1	no	—
1920	C₄	—	20	1	no	—
1921	C₄	—	20	1	no	—
1922	C₄	—	20	1	no	—
1923	C₄	—	20	1	no	—
1924	C₄	—	20	1	no	—
1925	C₄	C₂×#4144	1	1	yes	characteristic
1926	C₄	C₂×#4144	1	1	yes	characteristic
1927	C₂	—	4	1	no	—
1928	C₂	—	4	1	no	—
1929	C₂	—	4	1	no	—
1930	C₂	—	4	2	no	—
1931	C₂	—	4	2	no	—
1932	C₂	—	8	1	no	—
1933	C₂	—	10	2	no	—
1934	C₂	—	20	1	no	—
1935	C₂	—	40	1	no	—
1936	C₂	—	40	1	no	—
1937	C₂	—	40	1	no	—
1938	C₂	#10617820	1	1	yes	characteristic
1939	C₂	D₅×#577	1	1	yes	characteristic
1940	C₂	#10619108	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
hypercenter	#3009	D₅
hypocenter	C₅	#61610
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
1. #10619185	C₂	semidirect
2. #10618261	C₂	semidirect
3. C₅×#3009	C₂	semidirect
4. #10615833	C₂	semidirect
5. #10615722	C₂	semidirect
6. #10615718	C₂	semidirect
7. SD₁₆×C₂²⋊D₅	C₂	semidirect
8. #10615595	C₂	semidirect
9. #10615138	C₂	semidirect
10. #10611995	C₂	semidirect
11. #10611994	C₂	semidirect
12. #10611993	C₂	semidirect
13. #10611989	C₂	semidirect
14. #10611983	C₂	semidirect
15. #10611975	C₂	semidirect
16. #10611966	C₂	semidirect
17. #10611965	C₂	semidirect
18. #10611898	C₂	semidirect
19. #10611891	C₂	semidirect
20. #10611889	C₂	semidirect
21. #10611887	C₂	semidirect
22. #10611877	C₂	semidirect
23. D₅×#450	C₂	semidirect
24. #10611868	C₂	semidirect
25. #10611867	C₂	semidirect
26. #10610671	C₂	semidirect
27. #10610667	C₂	semidirect
28. #10610586	C₂	semidirect
29. #10610577	C₂	semidirect
30. #10610404	C₂	semidirect
31. #10610395	C₂	semidirect
34. C₂×C₅×#137	C₂²	semidirect
35. C₂²×C₅×SD₁₆	C₂²	semidirect
36. C₅×#536	C₂²	semidirect
37. #66167	C₂²	semidirect
48. C₂×#4096	C₂²	semidirect
49. #66151	C₂²	semidirect
50. Q₈×C₂²⋊D₅	C₂²	semidirect
62. C₂×#4078	C₂²	semidirect
63. C₂×#4060	C₂²	semidirect
64. C₂×#4060	C₂²	semidirect
65. C₂×D₅×SD₁₆	C₂²	semidirect
66. C₂×D₅×SD₁₆	C₂²	semidirect
75. #65977	C₂²	semidirect
76. #65976	C₂²	semidirect
77. #65969	C₂²	semidirect
78. #65967	C₂²	semidirect
79. #65965	C₂²	semidirect
80. #65961	C₂²	semidirect
81. D₅×C₂²⋊Q₈	C₂²	semidirect
82. #65959	C₂²	semidirect
83. #65867	C₂²	semidirect
84. #65864	C₂²	semidirect
85. C₅×#452	C₂²	semidirect
86. C₅×#452	C₂²	semidirect
87. C₅×#452	C₂²	semidirect
88. C₅×#452	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
96. #65528	C₂²	semidirect
97. #65528	C₂²	semidirect
98. #65527	C₂²	semidirect
99. #65527	C₂²	semidirect
100. #65523	C₂²	semidirect
101. #65521	C₂²	semidirect
102. #65516	C₂²	semidirect
103. #65516	C₂²	semidirect
105. #65507	C₂²	semidirect
107. #65506	C₂²	semidirect
108. C₂×#3964	C₂²	semidirect
109. #65480	C₂²	semidirect
110. #65479	C₂²	semidirect
111. #65478	C₂²	semidirect
112. #65477	C₂²	semidirect
113. #65476	C₂²	semidirect
114. #65475	C₂²	semidirect
115. #65474	C₂²	semidirect
116. #65474	C₂²	semidirect
117. #65465	C₂²	semidirect
118. #65464	C₂²	semidirect
119. #65463	C₂²	semidirect
120. #65461	C₂²	semidirect
121. #65460	C₂²	semidirect
122. #65459	C₂²	semidirect
123. #65458	C₂²	semidirect
124. #65458	C₂²	semidirect
125. #65458	C₂²	semidirect
126. #65458	C₂²	semidirect
127. #65454	C₂²	semidirect
128. #65454	C₂²	semidirect
129. #65453	C₂²	semidirect
130. #65453	C₂²	semidirect
131. #65452	C₂²	semidirect
132. #65452	C₂²	semidirect
133. #65451	C₂²	semidirect
134. #65451	C₂²	semidirect
135. SD₁₆×Dic₅	C₂²	semidirect
136. SD₁₆×Dic₅	C₂²	semidirect
137. #65424	C₂²	semidirect
138. #65423	C₂²	semidirect
139. #65417	C₂²	semidirect
140. #65416	C₂²	semidirect
141. #65404	C₂²	semidirect
142. #65403	C₂²	semidirect
143. #65400	C₂²	semidirect
144. C₈×C₂²⋊D₅	C₂²	semidirect
145. #65338	C₂²	semidirect
146. #65338	C₂²	semidirect
147. #65337	C₂²	semidirect
148. #65337	C₂²	semidirect
149. #65335	C₂²	semidirect
150. #65335	C₂²	semidirect
151. #65334	C₂²	semidirect
152. #65334	C₂²	semidirect
153. #65292	C₂²	semidirect
154. #65292	C₂²	semidirect
155. #65108	C₂²	semidirect
156. #65105	C₂²	semidirect
157. #65104	C₂²	semidirect
158. #65098	C₂²	semidirect
159. #65096	C₂²	semidirect
160. #65089	C₂²	semidirect
161. #65087	C₂²	semidirect
162. #65084	C₂²	semidirect
163. #65075	C₂²	semidirect
164. #65074	C₂²	semidirect
165. #65073	C₂²	semidirect
166. #65069	C₂²	semidirect
167. #65066	C₂²	semidirect
168. #65065	C₂²	semidirect
169. #65065	C₂²	semidirect
170. #65064	C₂²	semidirect
171. #65062	C₂²	semidirect
172. #65062	C₂²	semidirect
173. #65059	C₂²	semidirect
174. #65059	C₂²	semidirect
175. D₅×#102	C₂²	semidirect
176. D₅×#102	C₂²	semidirect
177. #65055	C₂²	semidirect
178. #65053	C₂²	semidirect
179. #65052	C₂²	semidirect
180. #65051	C₂²	semidirect
181. #65050	C₂²	semidirect
182. #65049	C₂²	semidirect
183. #65048	C₂²	semidirect
184. #65047	C₂²	semidirect
185. #65046	C₂²	semidirect
186. #65045	C₂²	semidirect
187. #65026	C₂²	semidirect
188. #65025	C₂²	semidirect
189. #65024	C₂²	semidirect
190. #65023	C₂²	semidirect
191. #65023	C₂²	semidirect
192. #65021	C₂²	semidirect
193. #65020	C₂²	semidirect
194. #65019	C₂²	semidirect
195. #65018	C₂²	semidirect
196. #65017	C₂²	semidirect
197. #65015	C₂²	semidirect
198. #65014	C₂²	semidirect
199. D₅×C₂²⋊C₈	C₂²	semidirect
200. #65012	C₂²	semidirect
201. #65009	C₂²	semidirect
202. #65009	C₂²	semidirect
212. C₂²×C₅×Q₈	C₂³	semidirect
234. C₂×#709	C₂³	semidirect
238. C₂×C₅×Q₁₆	C₂³	semidirect
239. C₂×C₅×Q₁₆	C₂³	semidirect
245. C₂×C₅×SD₁₆	C₂³	semidirect
246. C₂×C₅×SD₁₆	C₂³	semidirect
247. C₂×C₅×M₁₆	C₂³	semidirect
248. C₂²×C₅×C₈	C₂³	semidirect
255. C₅×C₂²⋊Q₈	C₂³	semidirect
256. C₅×C₂²⋊Q₈	C₂³	semidirect
257. C₅×#117	C₂³	semidirect
269. #4093	C₂³	semidirect
279. Q₈×Dic₅	C₂³	semidirect
280. Q₈×Dic₅	C₂³	semidirect
282. #4090	C₂³	semidirect
283. C₂×#689	C₂³	semidirect
288. C₂×#688	C₂³	semidirect
333. C₂×#687	C₂³	semidirect
337. C₂×#686	C₂³	semidirect
346. #4076	C₂³	semidirect
365. C₂×C₄⋊Dic₅	C₂³	semidirect
368. #4070	C₂³	semidirect
369. C₂×#681	C₂³	semidirect
370. C₂²×#168	C₂³	semidirect
395. #4039	C₂³	semidirect
402. #4036	C₂³	semidirect
405. #4034	C₂³	semidirect
406. #4033	C₂³	semidirect
431. C₅×#103	C₂³	semidirect
432. C₅×#103	C₂³	semidirect
437. C₅×#102	C₂³	semidirect
438. C₅×#102	C₂³	semidirect
441. C₅×C₂²⋊C₈	C₂³	semidirect
442. C₅×C₂²⋊C₈	C₂³	semidirect
443. #3967	C₂³	semidirect
444. #3967	C₂³	semidirect
445. #3967	C₂³	semidirect
446. #3967	C₂³	semidirect
447. #3967	C₂³	semidirect
448. #3967	C₂³	semidirect
453. #3964	C₂³	semidirect
454. #3964	C₂³	semidirect
457. C₂²⋊#168	C₂³	semidirect
458. C₂²⋊#168	C₂³	semidirect
463. #3953	C₂³	semidirect
464. #3953	C₂³	semidirect
469. #3950	C₂³	semidirect
470. #3950	C₂³	semidirect
471. #3949	C₂³	semidirect
472. #3949	C₂³	semidirect
473. #3948	C₂³	semidirect
474. #3948	C₂³	semidirect
475. #3947	C₂³	semidirect
476. #3947	C₂³	semidirect
477. #3946	C₂³	semidirect
478. #3946	C₂³	semidirect
479. #3946	C₂³	semidirect
480. #3946	C₂³	semidirect
481. C₈×Dic₅	C₂³	semidirect
482. C₈×Dic₅	C₂³	semidirect
487. #3940	C₂³	semidirect
488. #3940	C₂³	semidirect
489. #3939	C₂³	semidirect
490. #3939	C₂³	semidirect
518. #3009	D₅	semidirect
775. C₂×#137	C₂×D₅	semidirect
782. C₂²×SD₁₆	C₂×D₅	semidirect
814. #536	C₂×D₅	semidirect
881. #452	C₂×D₅	semidirect
882. #452	C₂×D₅	semidirect
883. #452	C₂×D₅	semidirect
884. #452	C₂×D₅	semidirect
899. #450	C₂×D₅	semidirect
900. #450	C₂×D₅	semidirect
934. #418	C₂×D₅	semidirect
936. #416	C₂×D₅	semidirect
941. #408	C₂×D₅	semidirect
1106. C₂²×Q₈	C₂²×D₅	semidirect
1134. C₂×Q₁₆	C₂²×D₅	semidirect
1135. C₂×Q₁₆	C₂²×D₅	semidirect
1153. C₂×SD₁₆	C₂²×D₅	semidirect
1154. C₂×SD₁₆	C₂²×D₅	semidirect
1163. C₂×M₁₆	C₂²×D₅	semidirect
1167. C₂²×C₈	C₂²×D₅	semidirect
1232. C₂²⋊Q₈	C₂²×D₅	semidirect
1233. C₂²⋊Q₈	C₂²×D₅	semidirect
1310. #117	C₂²×D₅	semidirect
1342. #103	C₂²×D₅	semidirect
1343. #103	C₂²×D₅	semidirect
1364. #102	C₂²×D₅	semidirect
1365. #102	C₂²×D₅	semidirect
1376. C₂²⋊C₈	C₂²×D₅	semidirect
1377. C₂²⋊C₈	C₂²×D₅	semidirect
1862. C₅	#61610	semidirect

Maximal subgroups

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

subgroup	index
#10619185	2
#10618261	2
C₅×#3009	2
#10615833	2
#10615722	2
#10615718	2
SD₁₆×C₂²⋊D₅	2
#10615595	2
#10615138	2
#10611995	2
#10611994	2
#10611993	2
#10611989	2
#10611983	2
#10611975	2
#10611966	2
#10611965	2
#10611898	2
#10611891	2
#10611889	2
#10611887	2
#10611877	2
D₅×#450	2
#10611868	2
#10611867	2
#10610671	2
#10610667	2
#10610586	2
#10610577	2
#10610404	2
#10610395	2
#61610	5