Subgroups — #13007917

Order 1280.

9494 conjugacy classes of subgroups.

The subgroup lattice has 1440 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₅×#3490	C₂	1	1	yes	maximal, characteristic, complemented
2	#10618719	C₂	1	8	yes	maximal, complemented
3	#10618716	C₂	1	8	yes	maximal, complemented
4	#10618568	C₂	1	8	yes	maximal, complemented
5	#10618563	C₂	1	8	yes	maximal, complemented
6	#10618480	C₂	1	2	yes	maximal, complemented
7	#10618319	C₂	1	8	yes	maximal, complemented
8	#10618209	C₂	1	2	yes	maximal, complemented
9	#10617944	C₂	1	4	yes	maximal, complemented
10	#10617940	C₂	1	4	yes	maximal, complemented
11	#10617820	C₂	1	2	yes	maximal, complemented
12	C₂×D₅×#120	C₂	1	2	yes	maximal, complemented
13	#10617769	C₂	1	2	yes	maximal, complemented
14	#10617768	C₂	1	2	yes	maximal, complemented
15	#10617598	C₂	1	1	yes	maximal, characteristic, complemented
16	C₂²×#4028	C₂	1	1	yes	maximal, characteristic, complemented
17	C₂⁵×D₅	C₂²	1	1	yes	characteristic, complemented
18	C₂³×C₂²⋊D₅	C₂²	1	1	yes	characteristic, complemented
19	C₂×#4149	C₂²	1	4	yes	complemented
20	C₂×#4144	C₂²	1	2	yes	complemented
21	C₂²×D₄×D₅	C₂²	1	4	yes	complemented
22	C₂²×D₄×D₅	C₂²	1	2	yes	complemented
23	C₂³×D₂₀	C₂²	1	2	yes	complemented
24	C₅×#551	C₂²	1	8	yes	complemented
25	C₅×#546	C₂²	1	8	yes	complemented
26	C₅×#543	C₂²	1	1	yes	characteristic, complemented
27	C₅×#538	C₂²	1	4	yes	complemented
28	C₅×#534	C₂²	1	1	yes	characteristic, complemented
29	C₅×#525	C₂²	1	4	yes	complemented
30	C₂×C₅×#120	C₂²	1	2	yes	complemented
31	C₅×#518	C₂²	1	2	yes	complemented
32	C₂²×C₅×C₂²⋊C₄	C₂²	1	1	yes	characteristic, complemented
33	C₂×#4099	C₂²	1	2	yes	complemented
34	#66164	C₂²	1	4	yes	complemented
35	#66163	C₂²	1	8	yes	complemented
36	#66138	C₂²	1	2	yes	complemented
37	D₄×C₂²⋊D₅	C₂²	1	8	yes	complemented
38	C₂×#4083	C₂²	1	2	yes	complemented
39	C₂×#4083	C₂²	1	4	yes	complemented
40	#66125	C₂²	1	4	yes	complemented
41	C₂²×#685	C₂²	1	2	yes	complemented
42	#66045	C₂²	1	8	yes	complemented
43	#66039	C₂²	1	8	yes	complemented
44	#66038	C₂²	1	8	yes	complemented
45	#66038	C₂²	1	8	yes	complemented
46	#66017	C₂²	1	8	yes	complemented
47	#66012	C₂²	1	8	yes	complemented
48	#66010	C₂²	1	8	yes	complemented
49	#66008	C₂²	1	8	yes	complemented
50	#66000	C₂²	1	8	yes	complemented
51	#65992	C₂²	1	8	yes	complemented
52	#65991	C₂²	1	8	yes	complemented
53	#65990	C₂²	1	4	yes	complemented
54	#65988	C₂²	1	8	yes	complemented
55	#65988	C₂²	1	8	yes	complemented
56	#65988	C₂²	1	8	yes	complemented
57	#65987	C₂²	1	8	yes	complemented
58	#65987	C₂²	1	8	yes	complemented
59	#65987	C₂²	1	4	yes	complemented
60	#65987	C₂²	1	8	yes	complemented
61	#65978	C₂²	1	4	yes	complemented
62	#65978	C₂²	1	8	yes	complemented
63	#65971	C₂²	1	8	yes	complemented
64	#65971	C₂²	1	8	yes	complemented
65	#65968	C₂²	1	4	yes	complemented
66	#65964	C₂²	1	8	yes	complemented
67	#65964	C₂²	1	8	yes	complemented
68	#65964	C₂²	1	8	yes	complemented
69	#65961	C₂²	1	8	yes	complemented
70	#65954	C₂²	1	8	yes	complemented
71	#65951	C₂²	1	4	yes	complemented
72	#65944	C₂²	1	8	yes	complemented
73	#65943	C₂²	1	8	yes	complemented
74	#65943	C₂²	1	8	yes	complemented
75	#65943	C₂²	1	8	yes	complemented
76	#65941	C₂²	1	8	yes	complemented
77	#65939	C₂²	1	4	yes	complemented
78	#65939	C₂²	1	8	yes	complemented
79	#65926	C₂²	1	4	yes	complemented
80	#65926	C₂²	1	4	yes	complemented
81	#65925	C₂²	1	8	yes	complemented
82	#65924	C₂²	1	8	yes	complemented
83	#65924	C₂²	1	8	yes	complemented
84	#65923	C₂²	1	4	yes	complemented
85	D₅×#120	C₂²	1	8	yes	complemented
86	D₅×#120	C₂²	1	8	yes	complemented
87	D₅×#120	C₂²	1	8	yes	complemented
88	D₅×#120	C₂²	1	8	yes	complemented
89	D₅×#120	C₂²	1	4	yes	complemented
90	D₅×#120	C₂²	1	4	yes	complemented
91	#65920	C₂²	1	4	yes	complemented
92	#65894	C₂²	1	8	yes	complemented
93	#65894	C₂²	1	8	yes	complemented
94	#65890	C₂²	1	8	yes	complemented
95	#65888	C₂²	1	8	yes	complemented
96	#65888	C₂²	1	8	yes	complemented
97	#65884	C₂²	1	8	yes	complemented
98	#65884	C₂²	1	8	yes	complemented
99	D₄×D₂₀	C₂²	1	8	yes	complemented
100	D₄×D₂₀	C₂²	1	8	yes	complemented
101	D₄×D₂₀	C₂²	1	8	yes	complemented
102	#65881	C₂²	1	8	yes	complemented
103	#65879	C₂²	1	8	yes	complemented
104	#65861	C₂²	1	8	yes	complemented
105	#65861	C₂²	1	8	yes	complemented
106	#65859	C₂²	1	4	yes	complemented
107	#65859	C₂²	1	4	yes	complemented
108	#65858	C₂²	1	4	yes	complemented
109	#65855	C₂²	1	4	yes	complemented
110	#65829	C₂²	1	8	yes	complemented
111	#65828	C₂²	1	4	yes	complemented
112	#65827	C₂²	1	2	yes	complemented
113	#65827	C₂²	1	1	yes	characteristic, complemented
114	#65827	C₂²	1	4	yes	complemented
115	#65824	C₂²	1	8	yes	complemented
116	#65824	C₂²	1	8	yes	complemented
117	#65824	C₂²	1	8	yes	complemented
118	C₂×#4028	C₂²	1	2	yes	complemented
119	C₂×#4028	C₂²	1	2	yes	complemented
120	C₂×#4028	C₂²	1	2	yes	complemented
121	C₂×#4028	C₂²	1	8	yes	complemented
122	C₂×#4028	C₂²	1	4	yes	complemented
123	C₂×#4028	C₂²	1	8	yes	complemented
124	C₂×#4028	C₂²	1	4	yes	complemented
125	C₂×#4028	C₂²	1	4	yes	complemented
126	#65820	C₂²	1	2	yes	complemented
127	#65820	C₂²	1	2	yes	complemented
128	C₂×D₅×C₂²⋊C₄	C₂²	1	2	yes	complemented
129	C₂×D₅×C₂²⋊C₄	C₂²	1	4	yes	complemented
130	#65817	C₂²	1	1	yes	characteristic, complemented
131	#62817	—	5	1	no	maximal, Sylow
132	C₂⁵×C₅	C₂³	1	1	yes	characteristic
133	C₂⁴×D₅	—	4	8	no	—
134	C₂⁴×D₅	—	4	4	no	—
135	C₂⁴×D₅	C₂³	1	2	yes	—
136	C₂⁴×D₅	C₂³	1	4	yes	—
137	C₂⁴×D₅	C₂³	1	2	yes	—
138	C₂⁴×D₅	C₂³	1	4	yes	—
139	C₂⁴×D₅	C₂³	1	2	yes	—
140	C₂⁴×D₅	C₂³	1	2	yes	complemented
141	C₂⁴×D₅	C₂³	1	1	yes	characteristic, complemented
142	C₂×C₅×#41	C₂³	1	4	yes	complemented
143	C₂²×C₅×D₄	C₂³	1	2	yes	—
144	C₂²×C₅×D₄	C₂³	1	4	yes	complemented
145	C₂³×C₄×C₅	C₂³	1	2	yes	complemented
146	C₂²×C₂²⋊D₅	—	4	4	no	—
147	C₂²×C₂²⋊D₅	C₂³	1	2	yes	—
148	C₂²×C₂²⋊D₅	C₂³	1	2	yes	—
149	C₂²×C₂²⋊D₅	C₂³	1	8	yes	complemented
150	C₂²×C₂²⋊D₅	C₂³	1	2	yes	complemented
151	C₂²×C₂²⋊D₅	C₂³	1	4	yes	complemented
152	C₂²×C₂²⋊D₅	C₂³	1	4	yes	complemented
153	C₂²×C₂²⋊D₅	C₂³	1	2	yes	complemented
154	C₂²×C₂²⋊D₅	C₂³	1	4	yes	complemented
155	C₂³×Dic₅	C₂³	1	1	yes	characteristic, complemented
156	#4149	—	4	16	no	—
157	C₂×#713	C₂³	1	8	yes	complemented
158	#4144	—	4	8	no	—
159	C₂×#711	C₂³	1	4	yes	complemented
160	C₂×#711	C₂³	1	4	yes	complemented
161	C₂×D₄×D₅	—	4	16	no	—
162	C₂×D₄×D₅	—	4	8	no	—
163	C₂×D₄×D₅	C₂³	1	8	yes	—
164	C₂×D₄×D₅	C₂³	1	8	yes	complemented
165	C₂×D₄×D₅	C₂³	1	8	yes	complemented
166	C₂×D₄×D₅	C₂³	1	8	yes	complemented
167	C₂×D₄×D₅	C₂³	1	8	yes	complemented
168	C₂×D₄×D₅	C₂³	1	8	yes	complemented
169	C₂×D₄×D₅	C₂³	1	8	yes	complemented
170	C₂×D₄×D₅	C₂³	1	8	yes	complemented
171	C₂×D₄×D₅	C₂³	1	4	yes	complemented
172	C₂×D₄×D₅	C₂³	1	4	yes	complemented
173	C₂×#709	C₂³	1	8	yes	complemented
174	C₂×#709	C₂³	1	4	yes	complemented
175	C₂×#709	C₂³	1	4	yes	complemented
176	C₂²×D₂₀	—	4	8	no	—
177	C₂²×D₂₀	C₂³	1	4	yes	—
178	C₂²×D₂₀	C₂³	1	2	yes	complemented
179	C₂²×D₂₀	C₂³	1	4	yes	complemented
180	C₂²×D₂₀	C₂³	1	4	yes	complemented
181	C₂²×D₂₀	C₂³	1	4	yes	complemented
182	C₂²×D₂₀	C₂³	1	8	yes	complemented
183	C₂²×D₂₀	C₂³	1	4	yes	complemented
184	C₂²×D₂₀	C₂³	1	8	yes	complemented
185	C₂²×C₄×D₅	C₂³	1	2	yes	complemented
186	C₂²×C₄×D₅	C₂³	1	4	yes	complemented
187	C₅×#126	C₂³	1	8	yes	complemented
188	C₅×#124	C₂³	1	8	yes	complemented
189	C₅×#123	C₂³	1	8	yes	complemented
190	C₅×#123	C₂³	1	8	yes	complemented
191	C₅×#123	C₂³	1	4	yes	complemented
192	C₅×C₂²⋊Q₈	C₂³	1	4	yes	complemented
193	C₅×C₂²⋊Q₈	C₂³	1	4	yes	complemented
194	C₅×C₂²⋊Q₈	C₂³	1	8	yes	complemented
195	C₅×#121	C₂³	1	8	yes	complemented
196	C₅×#121	C₂³	1	4	yes	complemented
197	C₅×#121	C₂³	1	4	yes	complemented
198	C₅×#120	C₂³	1	8	yes	—
199	C₅×#120	C₂³	1	4	yes	complemented
200	C₅×#120	C₂³	1	4	yes	complemented
201	C₅×#120	C₂³	1	4	yes	complemented
202	C₄×C₅×D₄	C₂³	1	8	yes	complemented
203	C₄×C₅×D₄	C₂³	1	8	yes	complemented
204	C₄×C₅×D₄	C₂³	1	8	yes	complemented
205	C₅×#117	C₂³	1	4	yes	complemented
206	C₅×#117	C₂³	1	4	yes	complemented
207	C₂×C₅×C₂²⋊C₄	C₂³	1	1	yes	characteristic
208	C₂×C₅×C₂²⋊C₄	C₂³	1	2	yes	—
209	C₂×C₅×C₂²⋊C₄	C₂³	1	1	yes	characteristic
210	C₂×C₅×C₂²⋊C₄	C₂³	1	4	yes	complemented
211	C₂×C₅×C₂²⋊C₄	C₂³	1	8	yes	complemented
212	C₂×C₅×C₂²⋊C₄	C₂³	1	2	yes	complemented
213	C₂×C₅×C₂²⋊C₄	C₂³	1	4	yes	complemented
214	#4099	C₂³	1	8	yes	—
215	#4099	C₂³	1	4	yes	complemented
216	#4099	C₂³	1	4	yes	complemented
217	#4099	C₂³	1	4	yes	complemented
218	C₂×C₂²⋊Dic₅	C₂³	1	2	yes	—
219	C₂×C₂²⋊Dic₅	C₂³	1	4	yes	complemented
220	#4093	C₂³	1	8	yes	complemented
221	#4093	C₂³	1	8	yes	complemented
222	#4092	C₂³	1	8	yes	complemented
223	#4086	C₂³	1	8	yes	complemented
224	#4086	C₂³	1	8	yes	complemented
225	#4085	C₂³	1	8	yes	complemented
226	#4085	C₂³	1	8	yes	complemented
227	#4085	C₂³	1	8	yes	complemented
228	#4085	C₂³	1	8	yes	complemented
229	#4084	C₂³	1	8	yes	complemented
230	#4083	C₂³	1	8	yes	—
231	#4083	C₂³	1	8	yes	—
232	#4083	C₂³	1	4	yes	complemented
233	#4083	C₂³	1	4	yes	complemented
234	#4083	C₂³	1	8	yes	complemented
235	#4083	C₂³	1	8	yes	complemented
236	#4083	C₂³	1	8	yes	complemented
237	#4083	C₂³	1	8	yes	complemented
238	#4083	C₂³	1	8	yes	complemented
239	#4083	C₂³	1	4	yes	complemented
240	#4083	C₂³	1	8	yes	complemented
241	#4081	C₂³	1	4	yes	complemented
242	D₄×Dic₅	C₂³	1	8	yes	complemented
243	#4076	C₂³	1	8	yes	complemented
244	#4076	C₂³	1	8	yes	complemented
245	#4076	C₂³	1	8	yes	complemented
246	#4076	C₂³	1	4	yes	complemented
247	#4076	C₂³	1	8	yes	complemented
248	#4076	C₂³	1	4	yes	complemented
249	#4075	C₂³	1	8	yes	complemented
250	#4075	C₂³	1	4	yes	complemented
251	#4075	C₂³	1	8	yes	complemented
252	C₄×C₂²⋊D₅	C₂³	1	8	yes	complemented
253	C₄×C₂²⋊D₅	C₂³	1	8	yes	complemented
254	C₄×C₂²⋊D₅	C₂³	1	8	yes	complemented
255	C₄×C₂²⋊D₅	C₂³	1	8	yes	complemented
256	C₂×#685	C₂³	1	4	yes	—
257	C₂×#685	C₂³	1	4	yes	complemented
258	C₂×#685	C₂³	1	4	yes	complemented
259	C₂×#685	C₂³	1	4	yes	complemented
260	C₂×#685	C₂³	1	8	yes	complemented
261	C₂×#685	C₂³	1	4	yes	complemented
262	C₂×#685	C₂³	1	4	yes	complemented
263	C₂×#685	C₂³	1	4	yes	complemented
264	C₂×#685	C₂³	1	8	yes	complemented
265	#4072	C₂³	1	4	yes	complemented
266	#4070	C₂³	1	4	yes	complemented
267	#4070	C₂³	1	4	yes	complemented
268	#4044	C₂³	1	8	yes	complemented
269	#4044	C₂³	1	8	yes	complemented
270	#4044	C₂³	1	8	yes	complemented
271	#4043	C₂³	1	8	yes	complemented
272	#4042	C₂³	1	8	yes	complemented
273	#4042	C₂³	1	8	yes	complemented
274	#4041	C₂³	1	8	yes	complemented
275	#4041	C₂³	1	8	yes	complemented
276	#4041	C₂³	1	8	yes	complemented
277	#4041	C₂³	1	8	yes	complemented
278	#4041	C₂³	1	8	yes	complemented
279	#4041	C₂³	1	8	yes	complemented
280	#4041	C₂³	1	8	yes	complemented
281	#4040	C₂³	1	8	yes	complemented
282	#4040	C₂³	1	8	yes	complemented
283	#4040	C₂³	1	8	yes	complemented
284	#4040	C₂³	1	8	yes	complemented
285	#4040	C₂³	1	8	yes	complemented
286	#4040	C₂³	1	8	yes	complemented
287	#4040	C₂³	1	8	yes	complemented
288	#4039	C₂³	1	8	yes	complemented
289	#4039	C₂³	1	8	yes	complemented
290	#4039	C₂³	1	8	yes	complemented
291	#4038	C₂³	1	8	yes	complemented
292	#4032	C₂³	1	8	yes	complemented
293	#4032	C₂³	1	4	yes	complemented
294	#4032	C₂³	1	4	yes	complemented
295	#4032	C₂³	1	4	yes	complemented
296	#4031	C₂³	1	8	yes	complemented
297	#4031	C₂³	1	8	yes	complemented
298	#4031	C₂³	1	8	yes	complemented
299	#4031	C₂³	1	8	yes	complemented
300	#4030	C₂³	1	8	yes	complemented
301	#4030	C₂³	1	8	yes	complemented
302	#4030	C₂³	1	8	yes	complemented
303	#4030	C₂³	1	8	yes	complemented
304	#4030	C₂³	1	8	yes	complemented
305	#4030	C₂³	1	8	yes	complemented
306	#4030	C₂³	1	8	yes	complemented
307	#4030	C₂³	1	8	yes	complemented
308	#4029	C₂³	1	8	yes	complemented
309	#4029	C₂³	1	8	yes	complemented
310	#4029	C₂³	1	8	yes	complemented
311	#4028	C₂³	1	8	yes	—
312	#4028	C₂³	1	8	yes	—
313	#4028	C₂³	1	8	yes	—
314	#4028	C₂³	1	8	yes	—
315	#4028	C₂³	1	8	yes	—
316	#4028	C₂³	1	4	yes	complemented
317	#4028	C₂³	1	4	yes	complemented
318	#4028	C₂³	1	4	yes	complemented
319	#4028	C₂³	1	4	yes	complemented
320	#4028	C₂³	1	8	yes	complemented
321	#4028	C₂³	1	8	yes	complemented
322	#4028	C₂³	1	8	yes	complemented
323	#4028	C₂³	1	4	yes	complemented
324	#4028	C₂³	1	4	yes	complemented
325	#4028	C₂³	1	8	yes	complemented
326	#4028	C₂³	1	8	yes	complemented
327	#4028	C₂³	1	8	yes	complemented
328	#4028	C₂³	1	8	yes	complemented
329	#4028	C₂³	1	8	yes	complemented
330	#4028	C₂³	1	8	yes	complemented
331	#4028	C₂³	1	4	yes	complemented
332	#4028	C₂³	1	4	yes	complemented
333	#4028	C₂³	1	8	yes	complemented
334	#4028	C₂³	1	4	yes	complemented
335	#4028	C₂³	1	8	yes	complemented
336	#4028	C₂³	1	8	yes	complemented
337	#4027	C₂³	1	8	yes	complemented
338	#4027	C₂³	1	8	yes	complemented
339	#4027	C₂³	1	8	yes	complemented
340	#4027	C₂³	1	8	yes	complemented
341	D₅×C₂²⋊C₄	C₂³	1	8	yes	—
342	D₅×C₂²⋊C₄	C₂³	1	8	yes	complemented
343	D₅×C₂²⋊C₄	C₂³	1	8	yes	complemented
344	D₅×C₂²⋊C₄	C₂³	1	8	yes	complemented
345	D₅×C₂²⋊C₄	C₂³	1	8	yes	complemented
346	D₅×C₂²⋊C₄	C₂³	1	8	yes	complemented
347	D₅×C₂²⋊C₄	C₂³	1	8	yes	complemented
348	D₅×C₂²⋊C₄	C₂³	1	4	yes	complemented
349	D₅×C₂²⋊C₄	C₂³	1	4	yes	complemented
350	D₅×C₂²⋊C₄	C₂³	1	8	yes	complemented
351	#4025	C₂³	1	8	yes	complemented
352	#4024	C₂³	1	8	yes	complemented
353	#4024	C₂³	1	8	yes	complemented
354	#4023	C₂³	1	4	yes	complemented
355	#4023	C₂³	1	4	yes	complemented
356	#4022	C₂³	1	8	yes	complemented
357	#4021	C₂³	1	8	yes	complemented
358	#4021	C₂³	1	8	yes	complemented
359	#4020	C₂³	1	8	yes	complemented
360	C₄×D₂₀	C₂³	1	8	yes	complemented
361	C₄×D₂₀	C₂³	1	8	yes	complemented
362	C₄×D₂₀	C₂³	1	8	yes	complemented
363	#4018	C₂³	1	8	yes	complemented
364	#3532	—	5	8	no	—
365	#3532	—	5	8	no	—
366	#3532	—	5	8	no	—
367	#3490	—	5	8	no	—
368	#3490	—	5	2	no	—
369	#3490	—	5	4	no	—
370	#3490	—	5	2	no	—
371	#3490	—	5	1	no	—
372	#3490	D₅	1	1	yes	characteristic, complemented
373	#3484	—	5	8	no	—
374	#3484	—	5	2	no	—
375	#3484	—	5	4	no	—
376	#3484	—	5	2	no	—
377	#3484	—	5	2	no	—
378	C₂²×#120	—	5	2	no	—
379	C₂²×#120	—	5	1	no	—
380	C₂⁴×C₅	—	2	4	no	—
381	C₂⁴×C₅	—	4	4	no	—
382	C₂⁴×C₅	C₂⁴	1	1	yes	characteristic
383	C₂⁴×C₅	C₂⁴	1	4	yes	—
384	C₂⁴×C₅	C₂⁴	1	1	yes	characteristic
385	C₂⁴×C₅	C₂⁴	1	2	yes	—
386	C₂⁴×C₅	C₂⁴	1	1	yes	characteristic
387	C₂³×D₅	—	2	8	no	—
388	C₂³×D₅	—	2	8	no	—
389	C₂³×D₅	—	2	16	no	—
390	C₂³×D₅	—	4	8	no	—
391	C₂³×D₅	—	4	8	no	—
392	C₂³×D₅	—	4	8	no	—
393	C₂³×D₅	—	4	8	no	—
394	C₂³×D₅	—	4	8	no	—
395	C₂³×D₅	—	4	8	no	—
396	C₂³×D₅	—	4	8	no	—
397	C₂³×D₅	—	4	8	no	—
398	C₂³×D₅	—	4	4	no	—
399	C₂³×D₅	—	4	4	no	—
400	C₂³×D₅	—	4	4	no	—
401	C₂³×D₅	—	4	4	no	—
402	C₂³×D₅	—	4	4	no	—
403	C₂³×D₅	—	4	2	no	—
404	C₂³×D₅	—	4	64	no	—
405	C₂³×D₅	C₂⁴	1	2	yes	—
406	C₂³×D₅	C₂⁴	1	4	yes	—
407	C₂³×D₅	C₂⁴	1	4	yes	—
408	C₂³×D₅	C₂⁴	1	4	yes	—
409	C₂³×D₅	C₂⁴	1	2	yes	—
410	C₂³×D₅	C₂⁴	1	4	yes	—
411	C₂³×D₅	C₂⁴	1	2	yes	—
412	C₂³×D₅	C₂⁴	1	2	yes	—
413	C₂³×D₅	C₂⁴	1	2	yes	—
414	C₂³×D₅	C₂⁴	1	8	yes	—
415	C₂³×D₅	C₂⁴	1	2	yes	—
416	C₂³×D₅	C₂⁴	1	4	yes	—
417	C₂³×D₅	C₂⁴	1	2	yes	—
418	C₂³×D₅	C₂⁴	1	2	yes	—
419	C₂³×D₅	C₂⁴	1	4	yes	complemented
420	C₅×#41	—	4	8	no	—
421	C₂×C₅×Q₈	C₂⁴	1	4	yes	complemented
422	C₂×C₅×D₄	—	2	8	no	—
423	C₂×C₅×D₄	—	4	8	no	—
424	C₂×C₅×D₄	C₂⁴	1	4	yes	—
425	C₂×C₅×D₄	C₂⁴	1	4	yes	—
426	C₂×C₅×D₄	C₂⁴	1	8	yes	—
427	C₂×C₅×D₄	C₂⁴	1	8	yes	—
428	C₂×C₅×D₄	C₂⁴	1	4	yes	complemented
429	C₂²×C₄×C₅	—	4	4	no	—
430	C₂²×C₄×C₅	C₂⁴	1	2	yes	—
431	C₂²×C₄×C₅	C₂⁴	1	4	yes	—
432	C₂²×C₄×C₅	C₂⁴	1	2	yes	—
433	C₂²×C₄×C₅	C₂⁴	1	4	yes	—
434	C₂²×C₄×C₅	C₂⁴	1	2	yes	—
435	C₂²×C₄×C₅	C₂⁴	1	4	yes	—
436	C₂²×C₄×C₅	C₂⁴	1	8	yes	complemented
437	C₂×C₂²⋊D₅	—	2	8	no	—
438	C₂×C₂²⋊D₅	—	2	8	no	—
439	C₂×C₂²⋊D₅	—	4	4	no	—
440	C₂×C₂²⋊D₅	—	4	4	no	—
441	C₂×C₂²⋊D₅	—	4	8	no	—
442	C₂×C₂²⋊D₅	—	4	8	no	—
443	C₂×C₂²⋊D₅	—	4	8	no	—
444	C₂×C₂²⋊D₅	—	4	16	no	—
445	C₂×C₂²⋊D₅	C₂⁴	1	4	yes	—
446	C₂×C₂²⋊D₅	C₂⁴	1	8	yes	—
447	C₂×C₂²⋊D₅	C₂⁴	1	4	yes	—
448	C₂×C₂²⋊D₅	C₂⁴	1	4	yes	—
449	C₂×C₂²⋊D₅	C₂⁴	1	8	yes	—
450	C₂×C₂²⋊D₅	C₂⁴	1	4	yes	—
451	C₂×C₂²⋊D₅	C₂⁴	1	8	yes	—
452	C₂×C₂²⋊D₅	C₂⁴	1	8	yes	—
453	C₂×C₂²⋊D₅	C₂⁴	1	8	yes	—
454	C₂×C₂²⋊D₅	C₂⁴	1	8	yes	—
455	C₂×C₂²⋊D₅	C₂⁴	1	8	yes	complemented
456	C₂×C₂²⋊D₅	C₂⁴	1	4	yes	complemented
457	C₂×C₂²⋊D₅	C₂⁴	1	4	yes	complemented
458	C₂²×Dic₅	—	4	2	no	—
459	C₂²×Dic₅	C₂⁴	1	2	yes	—
460	C₂²×Dic₅	C₂⁴	1	2	yes	—
461	C₂²×Dic₅	C₂⁴	1	4	yes	—
462	C₂²×Dic₅	C₂⁴	1	4	yes	—
463	C₂²×Dic₅	C₂⁴	1	4	yes	complemented
464	#713	—	4	16	no	—
465	#711	—	4	8	no	—
466	#711	—	4	8	no	—
467	D₄×D₅	—	2	32	no	—
468	D₄×D₅	—	4	16	no	—
469	D₄×D₅	—	4	16	no	—
470	D₄×D₅	—	4	16	no	—
471	D₄×D₅	—	4	16	no	—
472	D₄×D₅	—	4	16	no	—
473	D₄×D₅	—	4	16	no	—
474	D₄×D₅	—	4	8	no	—
475	D₄×D₅	—	4	8	no	—
476	D₄×D₅	—	4	16	no	—
477	#709	—	4	16	no	—
478	#709	—	4	8	no	—
479	#709	—	4	8	no	—
480	C₂×D₂₀	—	2	16	no	—
481	C₂×D₂₀	—	4	8	no	—
482	C₂×D₂₀	—	4	16	no	—
483	C₂×D₂₀	—	4	8	no	—
484	C₂×D₂₀	—	4	8	no	—
485	C₂×D₂₀	—	4	16	no	—
486	C₂×D₂₀	—	4	8	no	—
487	C₂×D₂₀	—	4	4	no	—
488	C₂×D₂₀	C₂⁴	1	8	yes	—
489	C₂×D₂₀	C₂⁴	1	8	yes	—
490	C₂×D₂₀	C₂⁴	1	8	yes	—
491	C₂×D₂₀	C₂⁴	1	8	yes	—
492	C₂×D₂₀	C₂⁴	1	8	yes	—
493	C₂×D₂₀	C₂⁴	1	8	yes	—
494	C₂×D₂₀	C₂⁴	1	8	yes	—
495	C₂×D₂₀	C₂⁴	1	4	yes	complemented
496	C₂×D₂₀	C₂⁴	1	8	yes	complemented
497	C₂×D₂₀	C₂⁴	1	4	yes	complemented
498	C₂×C₄×D₅	—	4	8	no	—
499	C₂×C₄×D₅	—	4	4	no	—
500	C₂×C₄×D₅	C₂⁴	1	8	yes	—
501	C₂×C₄×D₅	C₂⁴	1	8	yes	—
502	C₂×C₄×D₅	C₂⁴	1	8	yes	—
503	C₂×C₄×D₅	C₂⁴	1	4	yes	complemented
504	C₂×C₄×D₅	C₂⁴	1	4	yes	complemented
505	C₂×C₄×D₅	C₂⁴	1	8	yes	complemented
506	C₂×C₄×D₅	C₂⁴	1	8	yes	complemented
507	C₂×Dic₁₀	C₂⁴	1	4	yes	complemented
508	C₂×Dic₁₀	C₂⁴	1	4	yes	complemented
509	C₅×C₄⋊C₄	C₂⁴	1	8	yes	complemented
510	C₅×C₄⋊C₄	C₂⁴	1	4	yes	complemented
511	C₅×C₄⋊C₄	C₂⁴	1	4	yes	complemented
512	C₅×C₄⋊C₄	C₂⁴	1	8	yes	complemented
513	C₅×C₂²⋊C₄	C₂⁴	1	4	yes	—
514	C₅×C₂²⋊C₄	C₂⁴	1	4	yes	—
515	C₅×C₂²⋊C₄	C₂⁴	1	4	yes	—
516	C₅×C₂²⋊C₄	C₂⁴	1	4	yes	—
517	C₅×C₂²⋊C₄	C₂⁴	1	8	yes	—
518	C₅×C₂²⋊C₄	C₂⁴	1	8	yes	—
519	C₅×C₂²⋊C₄	C₂⁴	1	8	yes	—
520	C₅×C₂²⋊C₄	C₂⁴	1	8	yes	complemented
521	C₅×C₂²⋊C₄	C₂⁴	1	8	yes	complemented
522	C₄²×C₅	C₂⁴	1	8	yes	complemented
523	C₂²⋊Dic₅	C₂⁴	1	4	yes	—
524	C₂²⋊Dic₅	C₂⁴	1	4	yes	—
525	C₂²⋊Dic₅	C₂⁴	1	8	yes	—
526	C₂²⋊Dic₅	C₂⁴	1	8	yes	—
527	C₂²⋊Dic₅	C₂⁴	1	8	yes	complemented
528	#685	C₂⁴	1	8	yes	—
529	#685	C₂⁴	1	8	yes	—
530	#685	C₂⁴	1	8	yes	—
531	#685	C₂⁴	1	8	yes	—
532	#685	C₂⁴	1	8	yes	—
533	#685	C₂⁴	1	8	yes	—
534	#685	C₂⁴	1	8	yes	—
535	#685	C₂⁴	1	8	yes	—
536	#685	C₂⁴	1	8	yes	—
537	#685	C₂⁴	1	8	yes	—
538	#685	C₂⁴	1	8	yes	complemented
539	#685	C₂⁴	1	8	yes	complemented
540	#685	C₂⁴	1	8	yes	complemented
541	#685	C₂⁴	1	8	yes	complemented
542	#685	C₂⁴	1	8	yes	complemented
543	#685	C₂⁴	1	8	yes	complemented
544	C₄⋊Dic₅	C₂⁴	1	4	yes	complemented
545	C₄⋊Dic₅	C₂⁴	1	4	yes	complemented
546	C₄⋊Dic₅	C₂⁴	1	8	yes	complemented
547	#683	C₂⁴	1	8	yes	complemented
548	#683	C₂⁴	1	8	yes	complemented
549	#683	C₂⁴	1	8	yes	complemented
550	#683	C₂⁴	1	8	yes	complemented
551	C₄×Dic₅	C₂⁴	1	8	yes	complemented
552	C₄×Dic₅	C₂⁴	1	8	yes	complemented
553	C₂⁶	—	5	1	no	—
554	C₂×H(5,𝔽₂)	—	5	4	no	—
555	C₂×H(5,𝔽₂)	—	5	2	no	—
556	C₂³×D₄	—	5	1	no	—
557	C₂³×D₄	—	5	2	no	—
558	C₂³×D₄	—	5	4	no	—
559	C₂³×D₄	—	5	2	no	—
560	H(3,𝔽₄)	—	5	8	no	—
561	#560	—	5	8	no	—
562	#560	—	5	8	no	—
563	#560	—	5	8	no	—
564	#551	—	5	8	no	—
565	#551	—	5	8	no	—
566	#551	—	5	8	no	—
567	#551	—	5	8	no	—
568	#551	—	5	8	no	—
569	#551	—	5	8	no	—
570	#551	—	5	8	no	—
571	#551	—	5	8	no	—
572	#551	C₂×D₅	1	8	yes	complemented
573	#546	—	5	8	no	—
574	#546	—	5	8	no	—
575	#546	—	5	8	no	—
576	#546	—	5	8	no	—
577	#546	—	5	8	no	—
578	#546	—	5	8	no	—
579	#546	—	5	8	no	—
580	#546	—	5	8	no	—
581	#546	—	5	8	no	—
582	#546	—	5	8	no	—
583	#546	—	5	8	no	—
584	#546	—	5	8	no	—
585	#546	—	5	8	no	—
586	#546	—	5	8	no	—
587	#546	—	5	8	no	—
588	#546	—	5	8	no	—
589	#546	—	5	8	no	—
590	#546	C₂×D₅	1	8	yes	complemented
591	D₄²	—	5	8	no	—
592	D₄²	—	5	8	no	—
593	D₄²	—	5	8	no	—
594	D₄²	—	5	8	no	—
595	D₄²	—	5	8	no	—
596	D₄²	—	5	8	no	—
597	D₄²	—	5	8	no	—
598	D₄²	—	5	8	no	—
599	D₄²	—	5	8	no	—
600	#543	—	5	4	no	—
601	#543	—	5	1	no	—
602	#543	C₂×D₅	1	1	yes	characteristic, complemented
603	#538	—	5	8	no	—
604	#538	—	5	8	no	—
605	#538	—	5	8	no	—
606	#538	—	5	8	no	—
607	#538	—	5	8	no	—
608	#538	—	5	4	no	—
609	#538	—	5	4	no	—
610	#538	—	5	8	no	—
611	#538	—	5	8	no	—
612	#538	—	5	4	no	—
613	#538	C₂×D₅	1	4	yes	complemented
614	#535	—	5	4	no	—
615	#535	—	5	8	no	—
616	#535	—	5	8	no	—
617	#535	—	5	4	no	—
618	#535	—	5	4	no	—
619	#535	—	5	4	no	—
620	#535	—	5	4	no	—
621	#534	—	5	2	no	—
622	#534	—	5	8	no	—
623	#534	—	5	4	no	—
624	#534	—	5	8	no	—
625	#534	—	5	8	no	—
626	#534	—	5	4	no	—
627	#534	—	5	8	no	—
628	#534	—	5	4	no	—
629	#534	—	5	2	no	—
630	#534	—	5	1	no	—
631	#534	—	5	4	no	—
632	#534	C₂×D₅	1	1	yes	characteristic, complemented
633	#525	—	5	4	no	—
634	#525	—	5	4	no	—
635	#525	—	5	8	no	—
636	#525	—	5	4	no	—
637	#525	—	5	8	no	—
638	#525	—	5	4	no	—
639	#525	C₂×D₅	1	4	yes	complemented
640	C₂×#120	—	5	2	no	—
641	C₂×#120	—	5	2	no	—
642	C₂×#120	—	5	4	no	—
643	C₂×#120	—	5	8	no	—
644	C₂×#120	—	5	8	no	—
645	C₂×#120	—	5	8	no	—
646	C₂×#120	—	5	8	no	—
647	C₂×#120	—	5	4	no	—
648	C₂×#120	—	5	4	no	—
649	C₂×#120	—	5	2	no	—
650	C₂×#120	—	5	2	no	—
651	C₂×#120	—	5	2	no	—
652	C₂×#120	—	5	8	no	—
653	C₂×#120	—	5	4	no	—
654	C₂×#120	—	5	8	no	—
655	C₂×#120	—	5	4	no	—
656	C₂×#120	—	5	4	no	—
657	C₂×#120	C₂×D₅	1	2	yes	complemented
658	#518	—	5	8	no	—
659	#518	—	5	4	no	—
660	#518	—	5	2	no	—
661	#518	—	5	2	no	—
662	#518	C₂×D₅	1	2	yes	complemented
663	C₂²×C₂²⋊C₄	—	5	2	no	—
664	C₂²×C₂²⋊C₄	—	5	2	no	—
665	C₂²×C₂²⋊C₄	—	5	4	no	—
666	C₂²×C₂²⋊C₄	C₂×D₅	1	1	yes	characteristic, complemented
667	C₂³×C₅	—	2	2	no	—
668	C₂³×C₅	—	2	4	no	—
669	C₂³×C₅	—	2	8	no	—
670	C₂³×C₅	—	2	2	no	—
671	C₂³×C₅	—	2	8	no	—
672	C₂³×C₅	—	2	4	no	—
673	C₂³×C₅	—	4	2	no	—
674	C₂³×C₅	—	4	4	no	—
675	C₂³×C₅	—	4	2	no	—
676	C₂³×C₅	—	4	4	no	—
677	C₂³×C₅	—	4	16	no	—
678	C₂³×C₅	H(5,𝔽₂)	1	4	yes	complemented
679	C₂³×C₅	C₂⁵	1	2	yes	—
680	C₂³×C₅	C₂⁵	1	4	yes	—
681	C₂³×C₅	C₂⁵	1	1	yes	characteristic
682	C₂³×C₅	C₂⁵	1	2	yes	—
683	C₂³×C₅	C₂⁵	1	2	yes	—
684	C₂²×D₅	—	2	4	no	—
685	C₂²×D₅	—	2	8	no	—
686	C₂²×D₅	—	2	4	no	—
687	C₂²×D₅	—	2	4	no	—
688	C₂²×D₅	—	2	8	no	—
689	C₂²×D₅	—	2	8	no	—
690	C₂²×D₅	—	2	8	no	—
691	C₂²×D₅	—	2	8	no	—
692	C₂²×D₅	—	2	4	no	—
693	C₂²×D₅	—	2	4	no	—
694	C₂²×D₅	—	2	8	no	—
695	C₂²×D₅	—	2	8	no	—
696	C₂²×D₅	—	2	8	no	—
697	C₂²×D₅	—	2	8	no	—
698	C₂²×D₅	—	2	8	no	—
699	C₂²×D₅	—	2	16	no	—
700	C₂²×D₅	—	4	2	no	—
701	C₂²×D₅	—	4	2	no	—
702	C₂²×D₅	—	4	2	no	—
703	C₂²×D₅	—	4	4	no	—
704	C₂²×D₅	—	4	4	no	—
705	C₂²×D₅	—	4	4	no	—
706	C₂²×D₅	—	4	4	no	—
707	C₂²×D₅	—	4	4	no	—
708	C₂²×D₅	—	4	4	no	—
709	C₂²×D₅	—	4	4	no	—
710	C₂²×D₅	—	4	2	no	—
711	C₂²×D₅	—	4	2	no	—
712	C₂²×D₅	—	4	2	no	—
713	C₂²×D₅	—	4	4	no	—
714	C₂²×D₅	—	4	4	no	—
715	C₂²×D₅	—	4	4	no	—
716	C₂²×D₅	—	4	8	no	—
717	C₂²×D₅	—	4	8	no	—
718	C₂²×D₅	—	4	4	no	—
719	C₂²×D₅	—	4	8	no	—
720	C₂²×D₅	—	4	4	no	—
721	C₂²×D₅	—	4	64	no	—
722	C₂²×D₅	—	4	32	no	—
723	C₂²×D₅	—	4	32	no	—
724	C₂²×D₅	—	4	32	no	—
725	C₂²×D₅	—	4	64	no	—
726	C₂²×D₅	—	8	16	no	—
727	C₂²×D₅	—	8	8	no	—
728	C₂²×D₅	H(5,𝔽₂)	1	8	yes	complemented
729	C₂²×D₅	C₂⁵	1	4	yes	—
730	C₂²×D₅	C₂⁵	1	4	yes	—
731	C₂²×D₅	C₂⁵	1	4	yes	—
732	C₂²×D₅	C₂⁵	1	4	yes	—
733	C₅×Q₈	—	4	4	no	—
734	C₅×D₄	—	2	16	no	—
735	C₅×D₄	—	2	8	no	—
736	C₅×D₄	—	2	8	no	—
737	C₅×D₄	—	4	8	no	—
738	C₅×D₄	—	4	4	no	—
739	C₂×C₄×C₅	—	2	4	no	—
740	C₂×C₄×C₅	—	2	8	no	—
741	C₂×C₄×C₅	—	4	4	no	—
742	C₂×C₄×C₅	—	4	2	no	—
743	C₂×C₄×C₅	—	4	4	no	—
744	C₂×C₄×C₅	—	4	2	no	—
745	C₂×C₄×C₅	—	4	8	no	—
746	C₂×C₄×C₅	C₂⁵	1	4	yes	—
747	C₂×C₄×C₅	C₂⁵	1	8	yes	—
748	C₂×C₄×C₅	C₂⁵	1	4	yes	—
749	C₂×C₄×C₅	C₂⁵	1	4	yes	—
750	C₂²⋊D₅	—	2	16	no	—
751	C₂²⋊D₅	—	2	8	no	—
752	C₂²⋊D₅	—	2	8	no	—
753	C₂²⋊D₅	—	2	8	no	—
754	C₂²⋊D₅	—	2	8	no	—
755	C₂²⋊D₅	—	2	16	no	—
756	C₂²⋊D₅	—	4	8	no	—
757	C₂²⋊D₅	—	4	8	no	—
758	C₂²⋊D₅	—	4	8	no	—
759	C₂²⋊D₅	—	4	8	no	—
760	C₂²⋊D₅	—	4	4	no	—
761	C₂²⋊D₅	—	4	4	no	—
762	C₂²⋊D₅	—	4	8	no	—
763	C₂×Dic₅	—	2	4	no	—
764	C₂×Dic₅	—	2	4	no	—
765	C₂×Dic₅	—	4	4	no	—
766	C₂×Dic₅	—	4	4	no	—
767	C₂×Dic₅	—	4	4	no	—
768	C₂×Dic₅	C₂⁵	1	8	yes	—
769	C₂×Dic₅	C₂⁵	1	4	yes	—
770	C₂×Dic₅	C₂⁵	1	4	yes	—
771	D₂₀	—	2	16	no	—
772	D₂₀	—	2	16	no	—
773	D₂₀	—	2	16	no	—
774	D₂₀	—	4	8	no	—
775	D₂₀	—	4	8	no	—
776	D₂₀	—	4	4	no	—
777	D₂₀	—	4	8	no	—
778	D₂₀	—	4	8	no	—
779	D₂₀	—	4	8	no	—
780	D₂₀	—	4	4	no	—
781	C₄×D₅	—	2	16	no	—
782	C₄×D₅	—	4	8	no	—
783	C₄×D₅	—	4	8	no	—
784	C₄×D₅	—	4	4	no	—
785	C₄×D₅	—	4	4	no	—
786	C₄×D₅	—	4	8	no	—
787	C₄×D₅	—	4	8	no	—
788	Dic₁₀	—	4	4	no	—
789	Dic₁₀	—	4	4	no	—
790	C₂⁵	—	5	4	no	—
791	C₂⁵	—	5	2	no	—
792	C₂⁵	—	5	2	no	—
793	C₂⁵	—	5	2	no	—
794	C₂⁵	—	5	4	no	—
795	C₂⁵	—	5	2	no	—
796	C₂⁵	—	5	1	no	—
797	C₂⁵	—	20	4	no	—
798	C₂⁵	—	20	8	no	—
799	C₂⁵	C₂²×D₅	1	1	yes	characteristic
800	H(5,𝔽₂)	—	20	8	no	—
801	H(5,𝔽₂)	—	20	16	no	—
802	C₂×#41	—	5	8	no	—
803	C₂×#41	—	5	4	no	—
804	C₂×#41	—	5	4	no	—
805	C₂×#41	—	5	4	no	—
806	C₂×#41	—	5	4	no	—
807	C₂×#41	—	5	8	no	—
808	C₂×#41	C₂²×D₅	1	4	yes	complemented
809	C₂²×D₄	—	5	2	no	—
810	C₂²×D₄	—	5	2	no	—
811	C₂²×D₄	—	5	2	no	—
812	C₂²×D₄	—	5	2	no	—
813	C₂²×D₄	—	5	4	no	—
814	C₂²×D₄	—	5	8	no	—
815	C₂²×D₄	—	5	4	no	—
816	C₂²×D₄	—	5	4	no	—
817	C₂²×D₄	—	5	8	no	—
818	C₂²×D₄	—	5	8	no	—
819	C₂²×D₄	—	5	8	no	—
820	C₂²×D₄	—	5	8	no	—
821	C₂²×D₄	—	5	8	no	—
822	C₂²×D₄	—	5	8	no	—
823	C₂²×D₄	—	5	8	no	—
824	C₂²×D₄	—	5	4	no	—
825	C₂²×D₄	—	5	4	no	—
826	C₂²×D₄	—	5	8	no	—
827	C₂²×D₄	—	5	4	no	—
828	C₂²×D₄	—	5	4	no	—
829	C₂²×D₄	—	5	2	no	—
830	C₂²×D₄	—	5	4	no	—
831	C₂²×D₄	—	5	4	no	—
832	C₂²×D₄	—	5	4	no	—
833	C₂²×D₄	—	5	8	no	—
834	C₂²×D₄	—	5	8	no	—
835	C₂²×D₄	—	20	8	no	—
836	C₂²×D₄	—	20	8	no	—
837	C₂²×D₄	—	20	16	no	—
838	C₂²×D₄	—	20	4	no	—
839	C₂²×D₄	C₂²×D₅	1	2	yes	—
840	C₂²×D₄	C₂²×D₅	1	4	yes	complemented
841	C₂³×C₄	—	5	1	no	—
842	C₂³×C₄	—	5	2	no	—
843	C₂³×C₄	—	5	4	no	—
844	C₂³×C₄	C₂²×D₅	1	2	yes	complemented
845	#127	—	5	8	no	—
846	#127	—	5	8	no	—
847	#127	—	5	8	no	—
848	#126	—	5	8	no	—
849	#126	—	5	8	no	—
850	#126	—	5	8	no	—
851	#126	—	5	8	no	—
852	#126	—	5	8	no	—
853	#126	C₂²×D₅	1	8	yes	complemented
854	#124	—	5	8	no	—
855	#124	—	5	8	no	—
856	#124	—	5	8	no	—
857	#124	—	5	8	no	—
858	#124	—	5	8	no	—
859	#124	—	5	8	no	—
860	#124	—	5	8	no	—
861	#124	—	5	8	no	—
862	#124	C₂²×D₅	1	8	yes	complemented
863	#123	—	5	4	no	—
864	#123	—	5	8	no	—
865	#123	—	5	4	no	—
866	#123	—	5	8	no	—
867	#123	—	5	8	no	—
868	#123	—	5	8	no	—
869	#123	—	5	8	no	—
870	#123	—	5	8	no	—
871	#123	—	5	8	no	—
872	#123	—	5	8	no	—
873	#123	—	5	8	no	—
874	#123	—	5	4	no	—
875	#123	—	5	4	no	—
876	#123	—	5	4	no	—
877	#123	—	5	8	no	—
878	#123	—	5	8	no	—
879	#123	—	5	8	no	—
880	#123	—	5	8	no	—
881	#123	C₂²×D₅	1	8	yes	complemented
882	#123	C₂²×D₅	1	4	yes	complemented
883	#123	C₂²×D₅	1	8	yes	complemented
884	C₂²⋊Q₈	—	5	8	no	—
885	C₂²⋊Q₈	—	5	4	no	—
886	C₂²⋊Q₈	—	5	4	no	—
887	C₂²⋊Q₈	—	5	8	no	—
888	C₂²⋊Q₈	—	5	8	no	—
889	C₂²⋊Q₈	—	5	8	no	—
890	C₂²⋊Q₈	—	5	8	no	—
891	C₂²⋊Q₈	—	5	8	no	—
892	C₂²⋊Q₈	C₂²×D₅	1	8	yes	complemented
893	C₂²⋊Q₈	C₂²×D₅	1	4	yes	complemented
894	C₂²⋊Q₈	C₂²×D₅	1	4	yes	complemented
895	#121	—	5	8	no	—
896	#121	—	5	8	no	—
897	#121	—	5	8	no	—
898	#121	—	5	8	no	—
899	#121	—	5	8	no	—
900	#121	—	5	8	no	—
901	#121	—	5	4	no	—
902	#121	—	5	4	no	—
903	#121	—	5	8	no	—
904	#121	—	5	8	no	—
905	#121	—	5	8	no	—
906	#121	—	5	8	no	—
907	#121	—	5	8	no	—
908	#121	—	5	8	no	—
909	#121	—	5	8	no	—
910	#121	—	5	8	no	—
911	#121	—	5	8	no	—
912	#121	—	5	8	no	—
913	#121	—	5	8	no	—
914	#121	—	5	8	no	—
915	#121	—	5	8	no	—
916	#121	—	5	8	no	—
917	#121	—	5	8	no	—
918	#121	—	5	8	no	—
919	#121	—	5	8	no	—
920	#121	—	5	8	no	—
921	#121	C₂²×D₅	1	8	yes	complemented
922	#121	C₂²×D₅	1	4	yes	complemented
923	#121	C₂²×D₅	1	4	yes	complemented
924	#120	—	5	8	no	—
925	#120	—	5	4	no	—
926	#120	—	5	4	no	—
927	#120	—	5	4	no	—
928	#120	—	5	4	no	—
929	#120	—	5	8	no	—
930	#120	—	5	4	no	—
931	#120	—	5	8	no	—
932	#120	—	5	8	no	—
933	#120	—	5	8	no	—
934	#120	—	5	8	no	—
935	#120	—	5	8	no	—
936	#120	—	5	4	no	—
937	#120	—	5	8	no	—
938	#120	—	5	8	no	—
939	#120	—	5	4	no	—
940	#120	—	5	4	no	—
941	#120	—	5	4	no	—
942	#120	—	5	8	no	—
943	#120	—	5	8	no	—
944	#120	—	5	8	no	—
945	#120	—	5	8	no	—
946	#120	—	5	4	no	—
947	#120	—	5	4	no	—
948	#120	—	5	4	no	—
949	#120	—	5	8	no	—
950	#120	—	5	8	no	—
951	#120	—	5	8	no	—
952	#120	—	5	8	no	—
953	#120	—	5	8	no	—
954	#120	—	5	8	no	—
955	#120	—	5	8	no	—
956	#120	—	5	4	no	—
957	#120	—	5	8	no	—
958	#120	—	5	4	no	—
959	#120	—	5	4	no	—
960	#120	—	5	8	no	—
961	#120	—	5	8	no	—
962	#120	—	5	8	no	—
963	#120	—	5	8	no	—
964	#120	—	5	8	no	—
965	#120	C₂²×D₅	1	8	yes	—
966	#120	C₂²×D₅	1	4	yes	complemented
967	#120	C₂²×D₅	1	4	yes	complemented
968	#120	C₂²×D₅	1	4	yes	complemented
969	C₄×D₄	—	5	8	no	—
970	C₄×D₄	—	5	8	no	—
971	C₄×D₄	—	5	8	no	—
972	C₄×D₄	—	5	8	no	—
973	C₄×D₄	—	5	8	no	—
974	C₄×D₄	—	5	8	no	—
975	C₄×D₄	—	5	8	no	—
976	C₄×D₄	—	5	8	no	—
977	C₄×D₄	—	5	8	no	—
978	C₄×D₄	—	5	8	no	—
979	C₄×D₄	—	5	8	no	—
980	C₄×D₄	—	5	8	no	—
981	C₄×D₄	—	5	8	no	—
982	C₄×D₄	—	5	8	no	—
983	C₄×D₄	—	5	8	no	—
984	C₄×D₄	C₂²×D₅	1	8	yes	complemented
985	C₄×D₄	C₂²×D₅	1	8	yes	complemented
986	C₄×D₄	C₂²×D₅	1	8	yes	complemented
987	#117	—	5	4	no	—
988	#117	—	5	8	no	—
989	#117	—	5	4	no	—
990	#117	—	5	4	no	—
991	#117	—	5	8	no	—
992	#117	C₂²×D₅	1	4	yes	complemented
993	#117	C₂²×D₅	1	4	yes	complemented
994	C₂×C₂²⋊C₄	—	5	2	no	—
995	C₂×C₂²⋊C₄	—	5	4	no	—
996	C₂×C₂²⋊C₄	—	5	4	no	—
997	C₂×C₂²⋊C₄	—	5	4	no	—
998	C₂×C₂²⋊C₄	—	5	4	no	—
999	C₂×C₂²⋊C₄	—	5	4	no	—
1000	C₂×C₂²⋊C₄	—	5	4	no	—
1001	C₂×C₂²⋊C₄	—	5	4	no	—
1002	C₂×C₂²⋊C₄	—	5	8	no	—
1003	C₂×C₂²⋊C₄	—	5	4	no	—
1004	C₂×C₂²⋊C₄	—	5	8	no	—
1005	C₂×C₂²⋊C₄	—	5	8	no	—
1006	C₂×C₂²⋊C₄	—	5	8	no	—
1007	C₂×C₂²⋊C₄	—	5	8	no	—
1008	C₂×C₂²⋊C₄	—	5	8	no	—
1009	C₂×C₂²⋊C₄	—	5	8	no	—
1010	C₂×C₂²⋊C₄	—	5	8	no	—
1011	C₂×C₂²⋊C₄	—	5	4	no	—
1012	C₂×C₂²⋊C₄	—	5	8	no	—
1013	C₂×C₂²⋊C₄	—	5	4	no	—
1014	C₂×C₂²⋊C₄	—	5	8	no	—
1015	C₂×C₂²⋊C₄	C₂²×D₅	1	2	yes	—
1016	C₂×C₂²⋊C₄	C₂²×D₅	1	1	yes	characteristic
1017	C₂×C₂²⋊C₄	C₂²×D₅	1	1	yes	characteristic
1018	C₂×C₂²⋊C₄	C₂²×D₅	1	4	yes	complemented
1019	C₂×C₂²⋊C₄	C₂²×D₅	1	2	yes	complemented
1020	C₂×C₂²⋊C₄	C₂²×D₅	1	8	yes	complemented
1021	C₂×C₂²⋊C₄	C₂²×D₅	1	4	yes	complemented
1022	C₂²×C₅	—	2	8	no	—
1023	C₂²×C₅	—	2	2	no	—
1024	C₂²×C₅	—	2	4	no	—
1025	C₂²×C₅	—	2	2	no	—
1026	C₂²×C₅	—	2	2	no	—
1027	C₂²×C₅	—	2	4	no	—
1028	C₂²×C₅	—	2	8	no	—
1029	C₂²×C₅	—	2	2	no	—
1030	C₂²×C₅	—	2	4	no	—
1031	C₂²×C₅	—	4	4	no	—
1032	C₂²×C₅	—	4	16	no	—
1033	C₂²×C₅	—	4	4	no	—
1034	C₂²×C₅	—	8	4	no	—
1035	C₂²×C₅	C₂×H(5,𝔽₂)	1	2	yes	—
1036	C₂²×C₅	C₂×H(5,𝔽₂)	1	4	yes	—
1037	C₂²×C₅	C₂×H(5,𝔽₂)	1	4	yes	—
1038	C₂²×C₅	C₂⁶	1	1	yes	characteristic
1039	C₂×D₅	—	2	16	no	—
1040	C₂×D₅	—	2	4	no	—
1041	C₂×D₅	—	2	4	no	—
1042	C₂×D₅	—	2	8	no	—
1043	C₂×D₅	—	2	8	no	—
1044	C₂×D₅	—	2	4	no	—
1045	C₂×D₅	—	2	4	no	—
1046	C₂×D₅	—	2	4	no	—
1047	C₂×D₅	—	2	4	no	—
1048	C₂×D₅	—	2	4	no	—
1049	C₂×D₅	—	4	8	no	—
1050	C₂×D₅	—	4	8	no	—
1051	C₂×D₅	—	4	16	no	—
1052	C₂×D₅	—	4	16	no	—
1053	C₂×D₅	—	4	16	no	—
1054	C₂×D₅	—	4	16	no	—
1055	C₂×D₅	—	4	8	no	—
1056	C₂×D₅	—	4	8	no	—
1057	C₂×D₅	—	4	8	no	—
1058	C₂×D₅	—	8	16	no	—
1059	C₂×D₅	—	8	4	no	—
1060	C₂×D₅	—	8	8	no	—
1061	C₂×D₅	—	8	4	no	—
1062	C₂×D₅	—	16	4	no	—
1063	C₂×D₅	C₂×H(5,𝔽₂)	1	8	yes	—
1064	C₄×C₅	—	2	4	no	—
1065	C₄×C₅	—	2	4	no	—
1066	C₄×C₅	—	2	8	no	—
1067	C₄×C₅	—	2	4	no	—
1068	Dic₅	—	2	8	no	—
1069	Dic₅	—	2	4	no	—
1070	Dic₅	—	2	4	no	—
1071	C₂⁴	—	2	4	no	—
1072	C₂⁴	—	4	4	no	—
1073	C₂⁴	—	5	2	no	—
1074	C₂⁴	—	5	2	no	—
1075	C₂⁴	—	5	2	no	—
1076	C₂⁴	—	5	4	no	—
1077	C₂⁴	—	5	4	no	—
1078	C₂⁴	—	5	4	no	—
1079	C₂⁴	—	5	4	no	—
1080	C₂⁴	—	5	2	no	—
1081	C₂⁴	—	5	2	no	—
1082	C₂⁴	—	5	8	no	—
1083	C₂⁴	—	5	2	no	—
1084	C₂⁴	—	5	2	no	—
1085	C₂⁴	—	5	4	no	—
1086	C₂⁴	—	5	2	no	—
1087	C₂⁴	—	5	4	no	—
1088	C₂⁴	—	10	8	no	—
1089	C₂⁴	—	10	16	no	—
1090	C₂⁴	—	10	8	no	—
1091	C₂⁴	—	20	4	no	—
1092	C₂⁴	—	20	4	no	—
1093	C₂⁴	—	20	8	no	—
1094	C₂⁴	—	20	8	no	—
1095	C₂⁴	—	20	4	no	—
1096	C₂⁴	—	20	8	no	—
1097	C₂⁴	—	20	2	no	—
1098	C₂⁴	—	20	4	no	—
1099	C₂⁴	—	20	4	no	—
1100	C₂⁴	—	20	8	no	—
1101	C₂⁴	—	20	8	no	—
1102	C₂⁴	—	20	8	no	—
1103	C₂⁴	—	20	8	no	—
1104	C₂⁴	—	20	8	no	—
1105	C₂⁴	—	20	64	no	—
1106	C₂⁴	C₂³×D₅	1	1	yes	characteristic
1107	C₂⁴	C₂³×D₅	1	4	yes	—
1108	C₂⁴	C₂³×D₅	1	1	yes	characteristic
1109	C₂⁴	C₂³×D₅	1	2	yes	—
1110	C₂⁴	C₂³×D₅	1	1	yes	characteristic
1111	#41	—	4	8	no	—
1112	#41	—	20	8	no	—
1113	#41	—	20	8	no	—
1114	#41	—	20	16	no	—
1115	#41	—	20	8	no	—
1116	#41	—	20	8	no	—
1117	#41	—	20	16	no	—
1118	C₂×Q₈	—	5	4	no	—
1119	C₂×Q₈	—	5	4	no	—
1120	C₂×Q₈	C₂³×D₅	1	4	yes	complemented
1121	C₂×D₄	—	2	8	no	—
1122	C₂×D₄	—	4	8	no	—
1123	C₂×D₄	—	5	8	no	—
1124	C₂×D₄	—	5	4	no	—
1125	C₂×D₄	—	5	4	no	—
1126	C₂×D₄	—	5	4	no	—
1127	C₂×D₄	—	5	4	no	—
1128	C₂×D₄	—	5	8	no	—
1129	C₂×D₄	—	5	8	no	—
1130	C₂×D₄	—	5	8	no	—
1131	C₂×D₄	—	5	8	no	—
1132	C₂×D₄	—	5	8	no	—
1133	C₂×D₄	—	5	8	no	—
1134	C₂×D₄	—	5	4	no	—
1135	C₂×D₄	—	5	4	no	—
1136	C₂×D₄	—	5	8	no	—
1137	C₂×D₄	—	5	8	no	—
1138	C₂×D₄	—	5	8	no	—
1139	C₂×D₄	—	5	8	no	—
1140	C₂×D₄	—	5	8	no	—
1141	C₂×D₄	—	5	8	no	—
1142	C₂×D₄	—	5	8	no	—
1143	C₂×D₄	—	5	8	no	—
1144	C₂×D₄	—	5	4	no	—
1145	C₂×D₄	—	5	4	no	—
1146	C₂×D₄	—	10	16	no	—
1147	C₂×D₄	—	10	32	no	—
1148	C₂×D₄	—	10	8	no	—
1149	C₂×D₄	—	10	8	no	—
1150	C₂×D₄	—	20	4	no	—
1151	C₂×D₄	—	20	8	no	—
1152	C₂×D₄	—	20	8	no	—
1153	C₂×D₄	—	20	16	no	—
1154	C₂×D₄	—	20	8	no	—
1155	C₂×D₄	—	20	8	no	—
1156	C₂×D₄	—	20	16	no	—
1157	C₂×D₄	—	20	16	no	—
1158	C₂×D₄	—	20	4	no	—
1159	C₂×D₄	—	20	4	no	—
1160	C₂×D₄	—	20	16	no	—
1161	C₂×D₄	—	20	16	no	—
1162	C₂×D₄	—	20	16	no	—
1163	C₂×D₄	—	20	8	no	—
1164	C₂×D₄	—	20	8	no	—
1165	C₂×D₄	—	20	16	no	—
1166	C₂×D₄	—	20	16	no	—
1167	C₂×D₄	—	20	16	no	—
1168	C₂×D₄	—	20	16	no	—
1169	C₂×D₄	—	20	8	no	—
1170	C₂×D₄	—	20	8	no	—
1171	C₂×D₄	—	20	8	no	—
1172	C₂×D₄	C₂³×D₅	1	8	yes	—
1173	C₂×D₄	C₂³×D₅	1	4	yes	—
1174	C₂×D₄	C₂³×D₅	1	4	yes	—
1175	C₂×D₄	C₂³×D₅	1	8	yes	—
1176	C₂×D₄	C₂³×D₅	1	4	yes	complemented
1177	C₂²×C₄	—	4	4	no	—
1178	C₂²×C₄	—	5	2	no	—
1179	C₂²×C₄	—	5	2	no	—
1180	C₂²×C₄	—	5	4	no	—
1181	C₂²×C₄	—	5	4	no	—
1182	C₂²×C₄	—	5	4	no	—
1183	C₂²×C₄	—	5	8	no	—
1184	C₂²×C₄	—	5	8	no	—
1185	C₂²×C₄	—	5	8	no	—
1186	C₂²×C₄	—	5	8	no	—
1187	C₂²×C₄	—	5	8	no	—
1188	C₂²×C₄	—	5	4	no	—
1189	C₂²×C₄	—	5	4	no	—
1190	C₂²×C₄	—	20	4	no	—
1191	C₂²×C₄	—	20	8	no	—
1192	C₂²×C₄	—	20	2	no	—
1193	C₂²×C₄	C₂³×D₅	1	4	yes	—
1194	C₂²×C₄	C₂³×D₅	1	2	yes	—
1195	C₂²×C₄	C₂³×D₅	1	2	yes	—
1196	C₂²×C₄	C₂³×D₅	1	4	yes	—
1197	C₂²×C₄	C₂³×D₅	1	2	yes	—
1198	C₂²×C₄	C₂³×D₅	1	4	yes	—
1199	C₂²×C₄	C₂³×D₅	1	8	yes	complemented
1200	C₄⋊C₄	—	5	8	no	—
1201	C₄⋊C₄	—	5	8	no	—
1202	C₄⋊C₄	—	5	8	no	—
1203	C₄⋊C₄	—	5	8	no	—
1204	C₄⋊C₄	—	5	8	no	—
1205	C₄⋊C₄	—	5	4	no	—
1206	C₄⋊C₄	—	5	4	no	—
1207	C₄⋊C₄	C₂³×D₅	1	8	yes	complemented
1208	C₄⋊C₄	C₂³×D₅	1	4	yes	complemented
1209	C₄⋊C₄	C₂³×D₅	1	4	yes	complemented
1210	C₄⋊C₄	C₂³×D₅	1	8	yes	complemented
1211	C₂²⋊C₄	—	5	4	no	—
1212	C₂²⋊C₄	—	5	4	no	—
1213	C₂²⋊C₄	—	5	8	no	—
1214	C₂²⋊C₄	—	5	8	no	—
1215	C₂²⋊C₄	—	5	8	no	—
1216	C₂²⋊C₄	—	5	8	no	—
1217	C₂²⋊C₄	—	5	8	no	—
1218	C₂²⋊C₄	—	5	8	no	—
1219	C₂²⋊C₄	—	5	8	no	—
1220	C₂²⋊C₄	—	5	8	no	—
1221	C₂²⋊C₄	—	5	8	no	—
1222	C₂²⋊C₄	—	5	8	no	—
1223	C₂²⋊C₄	—	5	8	no	—
1224	C₂²⋊C₄	—	5	8	no	—
1225	C₂²⋊C₄	—	5	8	no	—
1226	C₂²⋊C₄	—	5	8	no	—
1227	C₂²⋊C₄	—	5	8	no	—
1228	C₂²⋊C₄	—	5	8	no	—
1229	C₂²⋊C₄	—	5	8	no	—
1230	C₂²⋊C₄	—	5	8	no	—
1231	C₂²⋊C₄	—	5	8	no	—
1232	C₂²⋊C₄	C₂³×D₅	1	4	yes	—
1233	C₂²⋊C₄	C₂³×D₅	1	8	yes	—
1234	C₂²⋊C₄	C₂³×D₅	1	4	yes	—
1235	C₂²⋊C₄	C₂³×D₅	1	8	yes	—
1236	C₂²⋊C₄	C₂³×D₅	1	4	yes	—
1237	C₂²⋊C₄	C₂³×D₅	1	4	yes	—
1238	C₂²⋊C₄	C₂³×D₅	1	8	yes	—
1239	C₂²⋊C₄	C₂³×D₅	1	8	yes	complemented
1240	C₂²⋊C₄	C₂³×D₅	1	8	yes	complemented
1241	C₄²	—	5	8	no	—
1242	C₄²	—	5	8	no	—
1243	C₄²	C₂³×D₅	1	8	yes	complemented
1244	C₂×C₅	—	2	4	no	—
1245	C₂×C₅	—	2	2	no	—
1246	C₂×C₅	—	2	4	no	—
1247	C₂×C₅	—	4	2	no	—
1248	C₂×C₅	—	4	4	no	—
1249	C₂×C₅	C₂²×H(5,𝔽₂)	1	1	yes	characteristic
1250	C₂×C₅	C₂²×H(5,𝔽₂)	1	2	yes	—
1251	D₅	—	2	8	no	—
1252	D₅	—	4	4	no	—
1253	D₅	—	4	4	no	—
1254	D₅	—	4	4	no	—
1255	C₂³	—	2	2	no	—
1256	C₂³	—	2	4	no	—
1257	C₂³	—	2	8	no	—
1258	C₂³	—	2	2	no	—
1259	C₂³	—	2	8	no	—
1260	C₂³	—	2	4	no	—
1261	C₂³	—	4	2	no	—
1262	C₂³	—	4	4	no	—
1263	C₂³	—	4	2	no	—
1264	C₂³	—	4	4	no	—
1265	C₂³	—	4	16	no	—
1266	C₂³	—	5	4	no	—
1267	C₂³	—	5	8	no	—
1268	C₂³	—	5	4	no	—
1269	C₂³	—	5	4	no	—
1270	C₂³	—	5	4	no	—
1271	C₂³	—	10	8	no	—
1272	C₂³	—	10	8	no	—
1273	C₂³	—	10	8	no	—
1274	C₂³	—	10	8	no	—
1275	C₂³	—	10	8	no	—
1276	C₂³	—	10	8	no	—
1277	C₂³	—	10	16	no	—
1278	C₂³	—	10	4	no	—
1279	C₂³	—	10	8	no	—
1280	C₂³	—	10	8	no	—
1281	C₂³	—	10	4	no	—
1282	C₂³	—	10	8	no	—
1283	C₂³	—	10	4	no	—
1284	C₂³	—	10	4	no	—
1285	C₂³	—	10	4	no	—
1286	C₂³	—	10	8	no	—
1287	C₂³	—	20	2	no	—
1288	C₂³	—	20	4	no	—
1289	C₂³	—	20	2	no	—
1290	C₂³	—	20	2	no	—
1291	C₂³	—	20	4	no	—
1292	C₂³	—	20	2	no	—
1293	C₂³	—	20	4	no	—
1294	C₂³	—	20	4	no	—
1295	C₂³	—	20	2	no	—
1296	C₂³	—	20	4	no	—
1297	C₂³	—	20	2	no	—
1298	C₂³	—	20	4	no	—
1299	C₂³	—	20	4	no	—
1300	C₂³	—	20	4	no	—
1301	C₂³	—	20	4	no	—
1302	C₂³	—	20	4	no	—
1303	C₂³	—	20	4	no	—
1304	C₂³	—	20	8	no	—
1305	C₂³	—	20	8	no	—
1306	C₂³	—	20	4	no	—
1307	C₂³	—	20	8	no	—
1308	C₂³	—	20	32	no	—
1309	C₂³	—	20	32	no	—
1310	C₂³	—	20	64	no	—
1311	C₂³	—	20	64	no	—
1312	C₂³	—	20	32	no	—
1313	C₂³	—	40	8	no	—
1314	C₂³	—	40	16	no	—
1315	C₂³	#4149	1	4	yes	complemented
1316	C₂³	C₂⁴×D₅	1	2	yes	—
1317	C₂³	C₂⁴×D₅	1	4	yes	—
1318	C₂³	C₂⁴×D₅	1	1	yes	characteristic
1319	C₂³	C₂⁴×D₅	1	2	yes	—
1320	C₂³	C₂⁴×D₅	1	2	yes	—
1321	Q₈	—	4	4	no	—
1322	Q₈	—	20	4	no	—
1323	Q₈	—	20	4	no	—
1324	D₄	—	2	8	no	—
1325	D₄	—	2	8	no	—
1326	D₄	—	2	16	no	—
1327	D₄	—	4	8	no	—
1328	D₄	—	4	4	no	—
1329	D₄	—	10	16	no	—
1330	D₄	—	10	16	no	—
1331	D₄	—	10	16	no	—
1332	D₄	—	10	16	no	—
1333	D₄	—	10	8	no	—
1334	D₄	—	10	8	no	—
1335	D₄	—	10	8	no	—
1336	D₄	—	10	8	no	—
1337	D₄	—	10	16	no	—
1338	D₄	—	20	8	no	—
1339	D₄	—	20	8	no	—
1340	D₄	—	20	8	no	—
1341	D₄	—	20	8	no	—
1342	D₄	—	20	4	no	—
1343	D₄	—	20	4	no	—
1344	D₄	—	20	8	no	—
1345	D₄	—	20	8	no	—
1346	D₄	—	20	8	no	—
1347	D₄	—	20	8	no	—
1348	D₄	—	20	8	no	—
1349	D₄	—	20	4	no	—
1350	D₄	—	20	4	no	—
1351	D₄	—	20	8	no	—
1352	C₂×C₄	—	2	4	no	—
1353	C₂×C₄	—	2	8	no	—
1354	C₂×C₄	—	4	2	no	—
1355	C₂×C₄	—	4	4	no	—
1356	C₂×C₄	—	4	2	no	—
1357	C₂×C₄	—	4	4	no	—
1358	C₂×C₄	—	4	8	no	—
1359	C₂×C₄	—	5	4	no	—
1360	C₂×C₄	—	5	4	no	—
1361	C₂×C₄	—	5	8	no	—
1362	C₂×C₄	—	10	16	no	—
1363	C₂×C₄	—	10	4	no	—
1364	C₂×C₄	—	10	4	no	—
1365	C₂×C₄	—	20	8	no	—
1366	C₂×C₄	—	20	8	no	—
1367	C₂×C₄	—	20	4	no	—
1368	C₂×C₄	—	20	4	no	—
1369	C₂×C₄	—	20	8	no	—
1370	C₂×C₄	—	20	8	no	—
1371	C₂×C₄	—	20	4	no	—
1372	C₂×C₄	—	20	4	no	—
1373	C₂×C₄	—	20	4	no	—
1374	C₂×C₄	C₂⁴×D₅	1	4	yes	—
1375	C₂×C₄	C₂⁴×D₅	1	8	yes	—
1376	C₂×C₄	C₂⁴×D₅	1	4	yes	—
1377	C₂×C₄	C₂⁴×D₅	1	4	yes	—
1378	C₅	#62817	1	1	yes	characteristic, complemented, Sylow
1379	C₂²	—	2	8	no	—
1380	C₂²	—	2	2	no	—
1381	C₂²	—	2	2	no	—
1382	C₂²	—	2	2	no	—
1383	C₂²	—	2	4	no	—
1384	C₂²	—	2	4	no	—
1385	C₂²	—	2	2	no	—
1386	C₂²	—	2	8	no	—
1387	C₂²	—	2	4	no	—
1388	C₂²	—	4	4	no	—
1389	C₂²	—	4	16	no	—
1390	C₂²	—	4	4	no	—
1391	C₂²	—	5	8	no	—
1392	C₂²	—	8	4	no	—
1393	C₂²	—	10	16	no	—
1394	C₂²	—	10	4	no	—
1395	C₂²	—	10	4	no	—
1396	C₂²	—	10	4	no	—
1397	C₂²	—	10	4	no	—
1398	C₂²	—	10	4	no	—
1399	C₂²	—	10	8	no	—
1400	C₂²	—	10	8	no	—
1401	C₂²	—	10	4	no	—
1402	C₂²	—	10	4	no	—
1403	C₂²	—	20	8	no	—
1404	C₂²	—	20	16	no	—
1405	C₂²	—	20	16	no	—
1406	C₂²	—	20	16	no	—
1407	C₂²	—	20	8	no	—
1408	C₂²	—	20	8	no	—
1409	C₂²	—	20	8	no	—
1410	C₂²	—	20	16	no	—
1411	C₂²	—	20	8	no	—
1412	C₂²	—	40	4	no	—
1413	C₂²	—	40	8	no	—
1414	C₂²	—	40	4	no	—
1415	C₂²	—	40	16	no	—
1416	C₂²	—	80	4	no	—
1417	C₂²	C₂×#4149	1	4	yes	—
1418	C₂²	C₂×#4149	1	2	yes	—
1419	C₂²	D₅×H(5,𝔽₂)	1	4	yes	—
1420	C₂²	C₂⁵×D₅	1	1	yes	characteristic
1421	C₄	—	2	4	no	—
1422	C₄	—	2	4	no	—
1423	C₄	—	2	4	no	—
1424	C₄	—	2	8	no	—
1425	C₄	—	10	4	no	—
1426	C₄	—	10	4	no	—
1427	C₄	—	10	8	no	—
1428	C₂	—	2	2	no	—
1429	C₂	—	2	4	no	—
1430	C₂	—	2	4	no	—
1431	C₂	—	4	2	no	—
1432	C₂	—	4	4	no	—
1433	C₂	—	10	8	no	—
1434	C₂	—	20	4	no	—
1435	C₂	—	20	4	no	—
1436	C₂	—	20	4	no	—
1437	C₂	C₂²×#4149	1	1	yes	characteristic
1438	C₂	C₂×D₅×H(5,𝔽₂)	1	2	yes	—

	subgroup	G/H
center, Frattini	C₂²	C₂⁵×D₅
commutator, socle, cosocle	C₂²×C₅	C₂⁶
Fitting	C₅×#3490	C₂
hypercenter	#3490	D₅
hypocenter	C₅	#62817
LCS	G ▷ C₂²×C₅ ▷ C₅
UCS	C₁ ◁ C₂² ◁ #3490

Complements

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

N	H ≅ G/N	type
1. C₅×#3490	C₂	semidirect
2. #10618719	C₂	semidirect
3. #10618716	C₂	semidirect
4. #10618568	C₂	semidirect
5. #10618563	C₂	semidirect
6. #10618480	C₂	semidirect
7. #10618319	C₂	semidirect
8. #10618209	C₂	semidirect
9. #10617944	C₂	semidirect
10. #10617940	C₂	semidirect
11. #10617820	C₂	semidirect
12. C₂×D₅×#120	C₂	semidirect
13. #10617769	C₂	semidirect
14. #10617768	C₂	semidirect
15. #10617598	C₂	semidirect
16. C₂²×#4028	C₂	semidirect
17. C₂⁵×D₅	C₂²	semidirect
18. C₂³×C₂²⋊D₅	C₂²	semidirect
19. C₂×#4149	C₂²	semidirect
20. C₂×#4144	C₂²	semidirect
21. C₂²×D₄×D₅	C₂²	semidirect
22. C₂²×D₄×D₅	C₂²	semidirect
23. C₂³×D₂₀	C₂²	semidirect
24. C₅×#551	C₂²	semidirect
25. C₅×#546	C₂²	semidirect
26. C₅×#543	C₂²	semidirect
27. C₅×#538	C₂²	semidirect
28. C₅×#534	C₂²	semidirect
29. C₅×#525	C₂²	semidirect
30. C₂×C₅×#120	C₂²	semidirect
31. C₅×#518	C₂²	semidirect
32. C₂²×C₅×C₂²⋊C₄	C₂²	semidirect
33. C₂×#4099	C₂²	semidirect
34. #66164	C₂²	semidirect
35. #66163	C₂²	semidirect
36. #66138	C₂²	semidirect
37. D₄×C₂²⋊D₅	C₂²	semidirect
38. C₂×#4083	C₂²	semidirect
39. C₂×#4083	C₂²	semidirect
40. #66125	C₂²	semidirect
41. C₂²×#685	C₂²	semidirect
42. #66045	C₂²	semidirect
43. #66039	C₂²	semidirect
44. #66038	C₂²	semidirect
45. #66038	C₂²	semidirect
46. #66017	C₂²	semidirect
47. #66012	C₂²	semidirect
48. #66010	C₂²	semidirect
49. #66008	C₂²	semidirect
50. #66000	C₂²	semidirect
51. #65992	C₂²	semidirect
52. #65991	C₂²	semidirect
53. #65990	C₂²	semidirect
54. #65988	C₂²	semidirect
55. #65988	C₂²	semidirect
56. #65988	C₂²	semidirect
57. #65987	C₂²	semidirect
58. #65987	C₂²	semidirect
59. #65987	C₂²	semidirect
60. #65987	C₂²	semidirect
61. #65978	C₂²	semidirect
62. #65978	C₂²	semidirect
63. #65971	C₂²	semidirect
64. #65971	C₂²	semidirect
65. #65968	C₂²	semidirect
66. #65964	C₂²	semidirect
67. #65964	C₂²	semidirect
68. #65964	C₂²	semidirect
69. #65961	C₂²	semidirect
70. #65954	C₂²	semidirect
71. #65951	C₂²	semidirect
72. #65944	C₂²	semidirect
73. #65943	C₂²	semidirect
74. #65943	C₂²	semidirect
75. #65943	C₂²	semidirect
76. #65941	C₂²	semidirect
77. #65939	C₂²	semidirect
78. #65939	C₂²	semidirect
79. #65926	C₂²	semidirect
80. #65926	C₂²	semidirect
81. #65925	C₂²	semidirect
82. #65924	C₂²	semidirect
83. #65924	C₂²	semidirect
84. #65923	C₂²	semidirect
85. D₅×#120	C₂²	semidirect
86. D₅×#120	C₂²	semidirect
87. D₅×#120	C₂²	semidirect
88. D₅×#120	C₂²	semidirect
89. D₅×#120	C₂²	semidirect
90. D₅×#120	C₂²	semidirect
91. #65920	C₂²	semidirect
92. #65894	C₂²	semidirect
93. #65894	C₂²	semidirect
94. #65890	C₂²	semidirect
95. #65888	C₂²	semidirect
96. #65888	C₂²	semidirect
97. #65884	C₂²	semidirect
98. #65884	C₂²	semidirect
99. D₄×D₂₀	C₂²	semidirect
100. D₄×D₂₀	C₂²	semidirect
101. D₄×D₂₀	C₂²	semidirect
102. #65881	C₂²	semidirect
103. #65879	C₂²	semidirect
104. #65861	C₂²	semidirect
105. #65861	C₂²	semidirect
106. #65859	C₂²	semidirect
107. #65859	C₂²	semidirect
108. #65858	C₂²	semidirect
109. #65855	C₂²	semidirect
110. #65829	C₂²	semidirect
111. #65828	C₂²	semidirect
112. #65827	C₂²	semidirect
113. #65827	C₂²	semidirect
114. #65827	C₂²	semidirect
115. #65824	C₂²	semidirect
116. #65824	C₂²	semidirect
117. #65824	C₂²	semidirect
118. C₂×#4028	C₂²	semidirect
119. C₂×#4028	C₂²	semidirect
120. C₂×#4028	C₂²	semidirect
121. C₂×#4028	C₂²	semidirect
122. C₂×#4028	C₂²	semidirect
123. C₂×#4028	C₂²	semidirect
124. C₂×#4028	C₂²	semidirect
125. C₂×#4028	C₂²	semidirect
126. #65820	C₂²	semidirect
127. #65820	C₂²	semidirect
128. C₂×D₅×C₂²⋊C₄	C₂²	semidirect
129. C₂×D₅×C₂²⋊C₄	C₂²	semidirect
130. #65817	C₂²	semidirect
140. C₂⁴×D₅	C₂³	semidirect
141. C₂⁴×D₅	C₂³	semidirect
142. C₂×C₅×#41	C₂³	semidirect
144. C₂²×C₅×D₄	C₂³	semidirect
145. C₂³×C₄×C₅	C₂³	semidirect
149. C₂²×C₂²⋊D₅	C₂³	semidirect
150. C₂²×C₂²⋊D₅	C₂³	semidirect
151. C₂²×C₂²⋊D₅	C₂³	semidirect
152. C₂²×C₂²⋊D₅	C₂³	semidirect
153. C₂²×C₂²⋊D₅	C₂³	semidirect
154. C₂²×C₂²⋊D₅	C₂³	semidirect
155. C₂³×Dic₅	C₂³	semidirect
157. C₂×#713	C₂³	semidirect
159. C₂×#711	C₂³	semidirect
160. C₂×#711	C₂³	semidirect
164. C₂×D₄×D₅	C₂³	semidirect
165. C₂×D₄×D₅	C₂³	semidirect
166. C₂×D₄×D₅	C₂³	semidirect
167. C₂×D₄×D₅	C₂³	semidirect
168. C₂×D₄×D₅	C₂³	semidirect
169. C₂×D₄×D₅	C₂³	semidirect
170. C₂×D₄×D₅	C₂³	semidirect
171. C₂×D₄×D₅	C₂³	semidirect
172. C₂×D₄×D₅	C₂³	semidirect
173. C₂×#709	C₂³	semidirect
174. C₂×#709	C₂³	semidirect
175. C₂×#709	C₂³	semidirect
178. C₂²×D₂₀	C₂³	semidirect
179. C₂²×D₂₀	C₂³	semidirect
180. C₂²×D₂₀	C₂³	semidirect
181. C₂²×D₂₀	C₂³	semidirect
182. C₂²×D₂₀	C₂³	semidirect
183. C₂²×D₂₀	C₂³	semidirect
184. C₂²×D₂₀	C₂³	semidirect
185. C₂²×C₄×D₅	C₂³	semidirect
186. C₂²×C₄×D₅	C₂³	semidirect
187. C₅×#126	C₂³	semidirect
188. C₅×#124	C₂³	semidirect
189. C₅×#123	C₂³	semidirect
190. C₅×#123	C₂³	semidirect
191. C₅×#123	C₂³	semidirect
192. C₅×C₂²⋊Q₈	C₂³	semidirect
193. C₅×C₂²⋊Q₈	C₂³	semidirect
194. C₅×C₂²⋊Q₈	C₂³	semidirect
195. C₅×#121	C₂³	semidirect
196. C₅×#121	C₂³	semidirect
197. C₅×#121	C₂³	semidirect
199. C₅×#120	C₂³	semidirect
200. C₅×#120	C₂³	semidirect
201. C₅×#120	C₂³	semidirect
202. C₄×C₅×D₄	C₂³	semidirect
203. C₄×C₅×D₄	C₂³	semidirect
204. C₄×C₅×D₄	C₂³	semidirect
205. C₅×#117	C₂³	semidirect
206. C₅×#117	C₂³	semidirect
210. C₂×C₅×C₂²⋊C₄	C₂³	semidirect
211. C₂×C₅×C₂²⋊C₄	C₂³	semidirect
212. C₂×C₅×C₂²⋊C₄	C₂³	semidirect
213. C₂×C₅×C₂²⋊C₄	C₂³	semidirect
215. #4099	C₂³	semidirect
216. #4099	C₂³	semidirect
217. #4099	C₂³	semidirect
219. C₂×C₂²⋊Dic₅	C₂³	semidirect
220. #4093	C₂³	semidirect
221. #4093	C₂³	semidirect
222. #4092	C₂³	semidirect
223. #4086	C₂³	semidirect
224. #4086	C₂³	semidirect
225. #4085	C₂³	semidirect
226. #4085	C₂³	semidirect
227. #4085	C₂³	semidirect
228. #4085	C₂³	semidirect
229. #4084	C₂³	semidirect
232. #4083	C₂³	semidirect
233. #4083	C₂³	semidirect
234. #4083	C₂³	semidirect
235. #4083	C₂³	semidirect
236. #4083	C₂³	semidirect
237. #4083	C₂³	semidirect
238. #4083	C₂³	semidirect
239. #4083	C₂³	semidirect
240. #4083	C₂³	semidirect
241. #4081	C₂³	semidirect
242. D₄×Dic₅	C₂³	semidirect
243. #4076	C₂³	semidirect
244. #4076	C₂³	semidirect
245. #4076	C₂³	semidirect
246. #4076	C₂³	semidirect
247. #4076	C₂³	semidirect
248. #4076	C₂³	semidirect
249. #4075	C₂³	semidirect
250. #4075	C₂³	semidirect
251. #4075	C₂³	semidirect
252. C₄×C₂²⋊D₅	C₂³	semidirect
253. C₄×C₂²⋊D₅	C₂³	semidirect
254. C₄×C₂²⋊D₅	C₂³	semidirect
255. C₄×C₂²⋊D₅	C₂³	semidirect
257. C₂×#685	C₂³	semidirect
258. C₂×#685	C₂³	semidirect
259. C₂×#685	C₂³	semidirect
260. C₂×#685	C₂³	semidirect
261. C₂×#685	C₂³	semidirect
262. C₂×#685	C₂³	semidirect
263. C₂×#685	C₂³	semidirect
264. C₂×#685	C₂³	semidirect
265. #4072	C₂³	semidirect
266. #4070	C₂³	semidirect
267. #4070	C₂³	semidirect
268. #4044	C₂³	semidirect
269. #4044	C₂³	semidirect
270. #4044	C₂³	semidirect
271. #4043	C₂³	semidirect
272. #4042	C₂³	semidirect
273. #4042	C₂³	semidirect
274. #4041	C₂³	semidirect
275. #4041	C₂³	semidirect
276. #4041	C₂³	semidirect
277. #4041	C₂³	semidirect
278. #4041	C₂³	semidirect
279. #4041	C₂³	semidirect
280. #4041	C₂³	semidirect
281. #4040	C₂³	semidirect
282. #4040	C₂³	semidirect
283. #4040	C₂³	semidirect
284. #4040	C₂³	semidirect
285. #4040	C₂³	semidirect
286. #4040	C₂³	semidirect
287. #4040	C₂³	semidirect
288. #4039	C₂³	semidirect
289. #4039	C₂³	semidirect
290. #4039	C₂³	semidirect
291. #4038	C₂³	semidirect
292. #4032	C₂³	semidirect
293. #4032	C₂³	semidirect
294. #4032	C₂³	semidirect
295. #4032	C₂³	semidirect
296. #4031	C₂³	semidirect
297. #4031	C₂³	semidirect
298. #4031	C₂³	semidirect
299. #4031	C₂³	semidirect
300. #4030	C₂³	semidirect
301. #4030	C₂³	semidirect
302. #4030	C₂³	semidirect
303. #4030	C₂³	semidirect
304. #4030	C₂³	semidirect
305. #4030	C₂³	semidirect
306. #4030	C₂³	semidirect
307. #4030	C₂³	semidirect
308. #4029	C₂³	semidirect
309. #4029	C₂³	semidirect
310. #4029	C₂³	semidirect
316. #4028	C₂³	semidirect
317. #4028	C₂³	semidirect
318. #4028	C₂³	semidirect
319. #4028	C₂³	semidirect
320. #4028	C₂³	semidirect
321. #4028	C₂³	semidirect
322. #4028	C₂³	semidirect
323. #4028	C₂³	semidirect
324. #4028	C₂³	semidirect
325. #4028	C₂³	semidirect
326. #4028	C₂³	semidirect
327. #4028	C₂³	semidirect
328. #4028	C₂³	semidirect
329. #4028	C₂³	semidirect
330. #4028	C₂³	semidirect
331. #4028	C₂³	semidirect
332. #4028	C₂³	semidirect
333. #4028	C₂³	semidirect
334. #4028	C₂³	semidirect
335. #4028	C₂³	semidirect
336. #4028	C₂³	semidirect
337. #4027	C₂³	semidirect
338. #4027	C₂³	semidirect
339. #4027	C₂³	semidirect
340. #4027	C₂³	semidirect
342. D₅×C₂²⋊C₄	C₂³	semidirect
343. D₅×C₂²⋊C₄	C₂³	semidirect
344. D₅×C₂²⋊C₄	C₂³	semidirect
345. D₅×C₂²⋊C₄	C₂³	semidirect
346. D₅×C₂²⋊C₄	C₂³	semidirect
347. D₅×C₂²⋊C₄	C₂³	semidirect
348. D₅×C₂²⋊C₄	C₂³	semidirect
349. D₅×C₂²⋊C₄	C₂³	semidirect
350. D₅×C₂²⋊C₄	C₂³	semidirect
351. #4025	C₂³	semidirect
352. #4024	C₂³	semidirect
353. #4024	C₂³	semidirect
354. #4023	C₂³	semidirect
355. #4023	C₂³	semidirect
356. #4022	C₂³	semidirect
357. #4021	C₂³	semidirect
358. #4021	C₂³	semidirect
359. #4020	C₂³	semidirect
360. C₄×D₂₀	C₂³	semidirect
361. C₄×D₂₀	C₂³	semidirect
362. C₄×D₂₀	C₂³	semidirect
363. #4018	C₂³	semidirect
372. #3490	D₅	semidirect
419. C₂³×D₅	C₂⁴	semidirect
421. C₂×C₅×Q₈	C₂⁴	semidirect
428. C₂×C₅×D₄	C₂⁴	semidirect
436. C₂²×C₄×C₅	C₂⁴	semidirect
455. C₂×C₂²⋊D₅	C₂⁴	semidirect
456. C₂×C₂²⋊D₅	C₂⁴	semidirect
457. C₂×C₂²⋊D₅	C₂⁴	semidirect
463. C₂²×Dic₅	C₂⁴	semidirect
495. C₂×D₂₀	C₂⁴	semidirect
496. C₂×D₂₀	C₂⁴	semidirect
497. C₂×D₂₀	C₂⁴	semidirect
503. C₂×C₄×D₅	C₂⁴	semidirect
504. C₂×C₄×D₅	C₂⁴	semidirect
505. C₂×C₄×D₅	C₂⁴	semidirect
506. C₂×C₄×D₅	C₂⁴	semidirect
507. C₂×Dic₁₀	C₂⁴	semidirect
508. C₂×Dic₁₀	C₂⁴	semidirect
509. C₅×C₄⋊C₄	C₂⁴	semidirect
510. C₅×C₄⋊C₄	C₂⁴	semidirect
511. C₅×C₄⋊C₄	C₂⁴	semidirect
512. C₅×C₄⋊C₄	C₂⁴	semidirect
520. C₅×C₂²⋊C₄	C₂⁴	semidirect
521. C₅×C₂²⋊C₄	C₂⁴	semidirect
522. C₄²×C₅	C₂⁴	semidirect
527. C₂²⋊Dic₅	C₂⁴	semidirect
538. #685	C₂⁴	semidirect
539. #685	C₂⁴	semidirect
540. #685	C₂⁴	semidirect
541. #685	C₂⁴	semidirect
542. #685	C₂⁴	semidirect
543. #685	C₂⁴	semidirect
544. C₄⋊Dic₅	C₂⁴	semidirect
545. C₄⋊Dic₅	C₂⁴	semidirect
546. C₄⋊Dic₅	C₂⁴	semidirect
547. #683	C₂⁴	semidirect
548. #683	C₂⁴	semidirect
549. #683	C₂⁴	semidirect
550. #683	C₂⁴	semidirect
551. C₄×Dic₅	C₂⁴	semidirect
552. C₄×Dic₅	C₂⁴	semidirect
572. #551	C₂×D₅	semidirect
590. #546	C₂×D₅	semidirect
602. #543	C₂×D₅	semidirect
613. #538	C₂×D₅	semidirect
632. #534	C₂×D₅	semidirect
639. #525	C₂×D₅	semidirect
657. C₂×#120	C₂×D₅	semidirect
662. #518	C₂×D₅	semidirect
666. C₂²×C₂²⋊C₄	C₂×D₅	semidirect
678. C₂³×C₅	H(5,𝔽₂)	semidirect
728. C₂²×D₅	H(5,𝔽₂)	semidirect
808. C₂×#41	C₂²×D₅	semidirect
840. C₂²×D₄	C₂²×D₅	semidirect
844. C₂³×C₄	C₂²×D₅	semidirect
853. #126	C₂²×D₅	semidirect
862. #124	C₂²×D₅	semidirect
881. #123	C₂²×D₅	semidirect
882. #123	C₂²×D₅	semidirect
883. #123	C₂²×D₅	semidirect
892. C₂²⋊Q₈	C₂²×D₅	semidirect
893. C₂²⋊Q₈	C₂²×D₅	semidirect
894. C₂²⋊Q₈	C₂²×D₅	semidirect
921. #121	C₂²×D₅	semidirect
922. #121	C₂²×D₅	semidirect
923. #121	C₂²×D₅	semidirect
966. #120	C₂²×D₅	semidirect
967. #120	C₂²×D₅	semidirect
968. #120	C₂²×D₅	semidirect
984. C₄×D₄	C₂²×D₅	semidirect
985. C₄×D₄	C₂²×D₅	semidirect
986. C₄×D₄	C₂²×D₅	semidirect
992. #117	C₂²×D₅	semidirect
993. #117	C₂²×D₅	semidirect
1018. C₂×C₂²⋊C₄	C₂²×D₅	semidirect
1019. C₂×C₂²⋊C₄	C₂²×D₅	semidirect
1020. C₂×C₂²⋊C₄	C₂²×D₅	semidirect
1021. C₂×C₂²⋊C₄	C₂²×D₅	semidirect
1120. C₂×Q₈	C₂³×D₅	semidirect
1176. C₂×D₄	C₂³×D₅	semidirect
1199. C₂²×C₄	C₂³×D₅	semidirect
1207. C₄⋊C₄	C₂³×D₅	semidirect
1208. C₄⋊C₄	C₂³×D₅	semidirect
1209. C₄⋊C₄	C₂³×D₅	semidirect
1210. C₄⋊C₄	C₂³×D₅	semidirect
1239. C₂²⋊C₄	C₂³×D₅	semidirect
1240. C₂²⋊C₄	C₂³×D₅	semidirect
1243. C₄²	C₂³×D₅	semidirect
1315. C₂³	#4149	semidirect
1378. C₅	#62817	semidirect

Maximal subgroups

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

subgroup	index
C₅×#3490	2
#10618719	2
#10618716	2
#10618568	2
#10618563	2
#10618480	2
#10618319	2
#10618209	2
#10617944	2
#10617940	2
#10617820	2
C₂×D₅×#120	2
#10617769	2
#10617768	2
#10617598	2
C₂²×#4028	2
#62817	5