Subgroups — D₅×#3500 #13007764

Order 1280.

11534 conjugacy classes of subgroups.

The subgroup lattice has 1216 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×D₅×2₋¹⁺⁴	C₂	1	1	yes	maximal, characteristic, complemented
2	C₂×D₅×H(5,𝔽₂)	C₂	1	1	yes	maximal, characteristic, complemented
3	C₅×#3500	C₂	1	1	yes	maximal, characteristic, complemented
4	#10619194	C₂	1	1	yes	maximal, characteristic, complemented
5	#10619184	C₂	1	1	yes	maximal, characteristic, complemented
6	D₅×#548	C₂	1	4	yes	maximal, complemented
7	#10618616	C₂	1	4	yes	maximal, complemented
8	D₅×#546	C₂	1	12	yes	maximal, complemented
9	#10618533	C₂	1	12	yes	maximal, complemented
10	D₅×#536	C₂	1	3	yes	maximal, complemented
11	#10618242	C₂	1	3	yes	maximal, complemented
12	D₅×#535	C₂	1	3	yes	maximal, complemented
13	#10618218	C₂	1	3	yes	maximal, complemented
14	#10618145	C₂	1	3	yes	maximal, complemented
15	D₅×#532	C₂	1	3	yes	maximal, complemented
16	#10617977	C₂	1	3	yes	maximal, complemented
17	C₂×D₅×#124	C₂	1	3	yes	maximal, complemented
18	#10617748	C₂	1	1	yes	maximal, characteristic, complemented
19	C₄×D₅×#41	C₂	1	1	yes	maximal, characteristic, complemented
20	C₂×C₅×2₋¹⁺⁴	C₂²	1	1	yes	characteristic, complemented
21	C₂×C₅×H(5,𝔽₂)	C₂²	1	1	yes	characteristic, complemented
22	D₅×2₋¹⁺⁴	—	2	16	no	—
23	D₅×H(5,𝔽₂)	—	2	16	no	—
24	C₂×#4150	C₂²	1	3	yes	complemented
25	C₂×#4150	C₂²	1	6	yes	complemented
26	C₂×#4150	C₂²	1	1	yes	characteristic, complemented
27	C₂×#4149	C₂²	1	3	yes	complemented
28	C₂×#4149	C₂²	1	1	yes	characteristic, complemented
29	C₂×#4149	C₂²	1	2	yes	complemented
30	C₂×D₅×#41	C₂²	1	2	yes	—
31	C₂×D₅×#41	C₂²	1	3	yes	—
32	C₂×D₅×#41	C₂²	1	1	yes	characteristic
33	C₂×D₅×#41	C₂²	1	3	yes	complemented
34	C₂×D₅×#41	C₂²	1	6	yes	complemented
35	C₂×#4147	C₂²	1	3	yes	complemented
36	C₂×#4147	C₂²	1	2	yes	complemented
37	C₂²×Q₈×D₅	C₂²	1	2	yes	complemented
38	C₂²×Q₈×D₅	C₂²	1	3	yes	complemented
39	C₂×#4144	C₂²	1	3	yes	complemented
40	C₂×#4144	C₂²	1	6	yes	complemented
41	C₂²×D₄×D₅	C₂²	1	3	yes	—
42	C₂²×D₄×D₅	C₂²	1	6	yes	—
43	C₅×#548	C₂²	1	4	yes	complemented
44	C₅×#546	C₂²	1	12	yes	complemented
45	C₅×#536	C₂²	1	3	yes	complemented
46	C₅×#535	C₂²	1	3	yes	complemented
47	C₅×#532	C₂²	1	3	yes	complemented
48	C₂×C₅×#124	C₂²	1	3	yes	complemented
49	C₄×C₅×#41	C₂²	1	1	yes	characteristic, complemented
50	#66166	C₂²	1	3	yes	complemented
51	#66166	C₂²	1	3	yes	complemented
52	#66165	C₂²	1	4	yes	complemented
53	#66164	C₂²	1	3	yes	complemented
54	#66163	C₂²	1	12	yes	complemented
55	#41×Dic₅	C₂²	1	1	yes	characteristic, complemented
56	#66159	C₂²	1	3	yes	complemented
57	#66151	C₂²	1	4	yes	complemented
58	#66150	C₂²	1	3	yes	complemented
59	C₂×#4093	C₂²	1	3	yes	complemented
60	#66140	C₂²	1	12	yes	complemented
61	#66139	C₂²	1	3	yes	complemented
62	C₂×#4082	C₂²	1	3	yes	complemented
63	#66059	C₂²	1	3	yes	complemented
64	#66058	C₂²	1	6	yes	complemented
65	D₅×C₄⋊Q₈	C₂²	1	3	yes	complemented
66	#66050	C₂²	1	3	yes	complemented
67	#66049	C₂²	1	6	yes	complemented
68	D₅×#127	C₂²	1	3	yes	complemented
69	#66011	C₂²	1	12	yes	complemented
70	#66010	C₂²	1	12	yes	complemented
71	#66009	C₂²	1	6	yes	complemented
72	#66008	C₂²	1	6	yes	complemented
73	D₅×#124	C₂²	1	12	yes	complemented
74	D₅×#124	C₂²	1	1	yes	characteristic, complemented
75	D₅×#124	C₂²	1	3	yes	complemented
76	D₅×#124	C₂²	1	6	yes	complemented
77	D₅×#124	C₂²	1	6	yes	complemented
78	D₅×#124	C₂²	1	6	yes	complemented
79	D₅×#124	C₂²	1	12	yes	complemented
80	#66002	C₂²	1	3	yes	complemented
81	#66002	C₂²	1	3	yes	complemented
82	#65988	C₂²	1	24	yes	complemented
83	D₅×#123	C₂²	1	12	yes	complemented
84	#65982	C₂²	1	12	yes	complemented
85	#65967	C₂²	1	12	yes	complemented
86	#65964	C₂²	1	12	yes	complemented
87	#65962	C₂²	1	12	yes	complemented
88	D₅×C₂²⋊Q₈	C₂²	1	12	yes	complemented
89	#65946	C₂²	1	12	yes	complemented
90	#65944	C₂²	1	24	yes	complemented
91	#65941	C₂²	1	12	yes	complemented
92	D₅×#121	C₂²	1	12	yes	complemented
93	D₅×#121	C₂²	1	12	yes	complemented
94	#65932	C₂²	1	12	yes	complemented
95	#65930	C₂²	1	12	yes	complemented
96	#65926	C₂²	1	12	yes	complemented
97	#65925	C₂²	1	24	yes	complemented
98	D₅×#120	C₂²	1	12	yes	complemented
99	#65910	C₂²	1	4	yes	complemented
100	C₄×#713	C₂²	1	2	yes	complemented
101	C₄×Q₈×D₅	C₂²	1	2	yes	complemented
102	#65888	C₂²	1	12	yes	complemented
103	#65886	C₂²	1	12	yes	complemented
104	#65884	C₂²	1	12	yes	complemented
105	#65882	C₂²	1	12	yes	complemented
106	C₄×D₄×D₅	C₂²	1	12	yes	complemented
107	C₄×D₄×D₅	C₂²	1	6	yes	complemented
108	C₄×#711	C₂²	1	6	yes	complemented
109	#65860	C₂²	1	3	yes	complemented
110	#65859	C₂²	1	3	yes	complemented
111	#65856	C₂²	1	3	yes	complemented
112	D₅×#117	C₂²	1	3	yes	complemented
113	C₂×#4031	C₂²	1	12	yes	complemented
114	#65824	C₂²	1	24	yes	complemented
115	C₂×D₅×C₂²⋊C₄	C₂²	1	12	yes	complemented
116	#65811	C₂²	1	3	yes	complemented
117	C₂×#4021	C₂²	1	3	yes	complemented
118	C₄×#709	C₂²	1	3	yes	complemented
119	C₂×C₄²×D₅	C₂²	1	3	yes	complemented
120	C₂×#3500	—	5	1	no	maximal, Sylow
121	C₂⁴×D₅	C₂³	1	6	yes	—
122	C₅×2₋¹⁺⁴	—	2	8	no	—
123	C₅×H(5,𝔽₂)	—	2	8	no	—
124	C₂×C₅×#41	C₂³	1	3	yes	—
125	C₂×C₅×#41	C₂³	1	2	yes	—
126	C₂×C₅×#41	C₂³	1	1	yes	characteristic
127	C₂×C₅×#41	C₂³	1	6	yes	complemented
128	C₂×C₅×#41	C₂³	1	3	yes	complemented
129	C₂²×C₅×Q₈	C₂³	1	3	yes	complemented
130	C₂²×C₅×Q₈	C₂³	1	2	yes	complemented
131	C₂²×C₅×D₄	C₂³	1	3	yes	—
132	C₂²×C₅×D₄	C₂³	1	6	yes	—
133	C₂²×C₂²⋊D₅	C₂³	1	12	yes	—
134	C₂²×C₂²⋊D₅	C₂³	1	6	yes	—
135	#4150	—	2	8	no	—
136	#4150	—	2	48	no	—
137	#4150	—	2	24	no	—
138	#4149	—	2	8	no	—
139	#4149	—	2	16	no	—
140	#4149	—	2	24	no	—
141	D₅×#41	—	2	16	no	—
142	D₅×#41	—	2	48	no	—
143	D₅×#41	—	2	24	no	—
144	D₅×#41	—	2	24	no	—
145	D₅×#41	D₄	1	16	yes	complemented
146	#4147	—	2	16	no	—
147	#4147	—	2	24	no	—
148	C₂×#713	C₂³	1	3	yes	—
149	C₂×#713	C₂³	1	2	yes	—
150	C₂×#713	C₂³	1	1	yes	characteristic
151	C₂×#713	C₂³	1	3	yes	complemented
152	C₂×#713	C₂³	1	6	yes	complemented
153	C₂×Q₈×D₅	—	2	16	no	—
154	C₂×Q₈×D₅	—	2	24	no	—
155	C₂×Q₈×D₅	C₂³	1	1	yes	characteristic
156	C₂×Q₈×D₅	C₂³	1	3	yes	—
157	C₂×Q₈×D₅	C₂³	1	6	yes	—
158	C₂×Q₈×D₅	C₂³	1	1	yes	characteristic
159	C₂×Q₈×D₅	C₂³	1	6	yes	complemented
160	C₂×Q₈×D₅	C₂³	1	2	yes	complemented
161	C₂×Q₈×D₅	C₂³	1	6	yes	complemented
162	C₂×Q₈×D₅	C₂³	1	6	yes	complemented
163	#4144	—	2	48	no	—
164	#4144	—	2	24	no	—
165	C₂×#711	C₂³	1	3	yes	—
166	C₂×#711	C₂³	1	6	yes	—
167	C₂×#711	C₂³	1	6	yes	—
168	C₂×#711	C₂³	1	3	yes	—
169	C₂×#711	C₂³	1	3	yes	complemented
170	C₂×#711	C₂³	1	6	yes	complemented
171	C₂×#711	C₂³	1	12	yes	complemented
172	C₂×#711	C₂³	1	6	yes	complemented
173	C₂×D₄×D₅	—	2	48	no	—
174	C₂×D₄×D₅	—	2	24	no	—
175	C₂×D₄×D₅	C₂³	1	1	yes	characteristic
176	C₂×D₄×D₅	C₂³	1	3	yes	—
177	C₂×D₄×D₅	C₂³	1	6	yes	—
178	C₂×D₄×D₅	C₂³	1	6	yes	—
179	C₂×D₄×D₅	C₂³	1	6	yes	—
180	C₂×D₄×D₅	C₂³	1	6	yes	—
181	C₂×D₄×D₅	C₂³	1	6	yes	—
182	C₂×D₄×D₅	C₂³	1	6	yes	—
183	C₂×D₄×D₅	C₂³	1	12	yes	—
184	C₂×D₄×D₅	C₂³	1	6	yes	—
185	C₂×D₄×D₅	C₂³	1	12	yes	—
186	C₂×D₄×D₅	C₂³	1	3	yes	—
187	C₂×#709	C₂³	1	3	yes	—
188	C₂×#709	C₂³	1	6	yes	—
189	C₂×#709	C₂³	1	6	yes	—
190	C₂×#709	C₂³	1	3	yes	—
191	C₂×#709	C₂³	1	3	yes	complemented
192	C₂×#709	C₂³	1	12	yes	complemented
193	C₂×#709	C₂³	1	6	yes	complemented
194	C₂×#709	C₂³	1	6	yes	complemented
195	C₂²×D₂₀	C₂³	1	3	yes	—
196	C₂²×D₂₀	C₂³	1	6	yes	—
197	C₂²×C₄×D₅	C₂³	1	6	yes	—
198	C₂²×C₄×D₅	C₂³	1	6	yes	—
199	C₂²×C₄×D₅	C₂³	1	6	yes	—
200	C₂²×C₄×D₅	C₂³	1	6	yes	—
201	C₂²×C₄×D₅	C₂³	1	3	yes	—
202	C₂²×Dic₁₀	C₂³	1	3	yes	complemented
203	C₂²×Dic₁₀	C₂³	1	6	yes	complemented
204	C₂²×Dic₁₀	C₂³	1	6	yes	complemented
205	C₅×C₄⋊Q₈	C₂³	1	3	yes	complemented
206	C₅×#127	C₂³	1	3	yes	complemented
207	C₅×#124	C₂³	1	3	yes	complemented
208	C₅×#124	C₂³	1	6	yes	complemented
209	C₅×#124	C₂³	1	12	yes	complemented
210	C₅×#124	C₂³	1	1	yes	characteristic, complemented
211	C₅×#123	C₂³	1	12	yes	complemented
212	C₅×C₂²⋊Q₈	C₂³	1	12	yes	complemented
213	C₅×#121	C₂³	1	12	yes	complemented
214	C₅×#121	C₂³	1	12	yes	complemented
215	C₅×#120	C₂³	1	12	yes	complemented
216	C₄×C₅×Q₈	C₂³	1	2	yes	complemented
217	C₄×C₅×D₄	C₂³	1	6	yes	complemented
218	C₄×C₅×D₄	C₂³	1	12	yes	complemented
219	C₅×#117	C₂³	1	3	yes	complemented
220	C₂×C₅×C₂²⋊C₄	C₂³	1	12	yes	complemented
221	C₂×C₄²×C₅	C₂³	1	3	yes	complemented
222	#4099	C₂³	1	12	yes	complemented
223	C₂×C₂²⋊Dic₅	C₂³	1	12	yes	complemented
224	#4093	C₂³	1	6	yes	complemented
225	#4093	C₂³	1	1	yes	characteristic, complemented
226	#4093	C₂³	1	3	yes	complemented
227	#4093	C₂³	1	12	yes	complemented
228	#4092	C₂³	1	12	yes	complemented
229	Q₈×Dic₅	C₂³	1	2	yes	complemented
230	#4090	C₂³	1	3	yes	complemented
231	#4090	C₂³	1	3	yes	complemented
232	#4086	C₂³	1	3	yes	complemented
233	#4086	C₂³	1	12	yes	complemented
234	#4086	C₂³	1	3	yes	complemented
235	#4085	C₂³	1	24	yes	complemented
236	#4085	C₂³	1	12	yes	complemented
237	#4085	C₂³	1	12	yes	complemented
238	#4084	C₂³	1	12	yes	complemented
239	#4084	C₂³	1	12	yes	complemented
240	#4083	C₂³	1	24	yes	complemented
241	#4083	C₂³	1	12	yes	complemented
242	#4082	C₂³	1	6	yes	complemented
243	#4082	C₂³	1	1	yes	characteristic, complemented
244	#4082	C₂³	1	3	yes	complemented
245	#4082	C₂³	1	12	yes	complemented
246	#4081	C₂³	1	12	yes	complemented
247	D₄×Dic₅	C₂³	1	12	yes	complemented
248	D₄×Dic₅	C₂³	1	6	yes	complemented
249	#4076	C₂³	1	12	yes	complemented
250	#4076	C₂³	1	12	yes	complemented
251	#4075	C₂³	1	12	yes	complemented
252	C₄×C₂²⋊D₅	C₂³	1	12	yes	complemented
253	C₄×C₂²⋊D₅	C₂³	1	12	yes	complemented
254	C₄×C₂²⋊D₅	C₂³	1	12	yes	complemented
255	C₂×#685	C₂³	1	12	yes	complemented
256	C₂×#685	C₂³	1	12	yes	complemented
257	#4072	C₂³	1	3	yes	complemented
258	#4070	C₂³	1	12	yes	complemented
259	C₂×C₄×Dic₅	C₂³	1	6	yes	complemented
260	C₂×C₄×Dic₅	C₂³	1	3	yes	complemented
261	#4043	C₂³	1	12	yes	complemented
262	#4042	C₂³	1	24	yes	complemented
263	#4041	C₂³	1	12	yes	complemented
264	#4041	C₂³	1	12	yes	complemented
265	#4040	C₂³	1	24	yes	complemented
266	#4039	C₂³	1	12	yes	complemented
267	#4039	C₂³	1	6	yes	complemented
268	#4038	C₂³	1	6	yes	complemented
269	D₅×C₄⋊C₄	C₂³	1	12	yes	—
270	D₅×C₄⋊C₄	C₂³	1	6	yes	—
271	#4034	C₂³	1	12	yes	complemented
272	#4033	C₂³	1	6	yes	complemented
273	#4032	C₂³	1	12	yes	complemented
274	#4031	C₂³	1	24	yes	complemented
275	#4031	C₂³	1	12	yes	complemented
276	#4031	C₂³	1	24	yes	complemented
277	#4031	C₂³	1	24	yes	complemented
278	#4031	C₂³	1	4	yes	complemented
279	#4030	C₂³	1	12	yes	complemented
280	#4030	C₂³	1	24	yes	complemented
281	#4030	C₂³	1	12	yes	complemented
282	#4029	C₂³	1	24	yes	complemented
283	#4028	C₂³	1	24	yes	complemented
284	#4028	C₂³	1	12	yes	complemented
285	#4027	C₂³	1	12	yes	complemented
286	#4027	C₂³	1	12	yes	complemented
287	#4027	C₂³	1	12	yes	complemented
288	D₅×C₂²⋊C₄	C₂³	1	12	yes	—
289	D₅×C₂²⋊C₄	C₂³	1	24	yes	—
290	D₅×C₂²⋊C₄	C₂³	1	6	yes	—
291	D₅×C₂²⋊C₄	C₂³	1	4	yes	—
292	D₅×C₂²⋊C₄	C₂³	1	24	yes	complemented
293	D₅×C₂²⋊C₄	C₂³	1	24	yes	complemented
294	#4024	C₂³	1	24	yes	complemented
295	#4023	C₂³	1	6	yes	complemented
296	#4021	C₂³	1	6	yes	complemented
297	#4021	C₂³	1	3	yes	complemented
298	#4021	C₂³	1	12	yes	complemented
299	#4021	C₂³	1	1	yes	characteristic, complemented
300	#4020	C₂³	1	3	yes	complemented
301	C₄×D₂₀	C₂³	1	6	yes	complemented
302	C₄×D₂₀	C₂³	1	12	yes	complemented
303	#4018	C₂³	1	6	yes	complemented
304	C₄²×D₅	C₂³	1	3	yes	—
305	C₄²×D₅	C₂³	1	1	yes	characteristic
306	C₄²×D₅	C₂³	1	6	yes	—
307	C₄²×D₅	C₂³	1	3	yes	complemented
308	C₄²×D₅	C₂³	1	3	yes	complemented
309	C₄²×D₅	C₂³	1	6	yes	complemented
310	#4015	C₂³	1	3	yes	complemented
311	C₄×Dic₁₀	C₂³	1	6	yes	complemented
312	C₂²×2₋¹⁺⁴	—	5	1	no	—
313	C₂²×H(5,𝔽₂)	—	5	1	no	—
314	#3500	—	5	1	no	—
315	#3500	—	5	1	no	—
316	#3500	—	5	4	no	—
317	#3500	—	5	12	no	—
318	#3500	—	5	3	no	—
319	#3500	—	5	3	no	—
320	#3500	—	5	3	no	—
321	#3500	—	5	3	no	—
322	#3500	—	5	1	no	—
323	#3500	D₅	1	1	yes	characteristic, direct product factor
324	C₂×#548	—	5	4	no	—
325	C₂×#546	—	5	12	no	—
326	C₂×#536	—	5	3	no	—
327	C₂×#535	—	5	3	no	—
328	C₂×#532	—	5	3	no	—
329	C₂²×#124	—	5	3	no	—
330	C₂×C₄×#41	—	5	1	no	—
331	C₂⁴×C₅	C₂⁴	1	6	yes	—
332	C₂³×D₅	—	2	24	no	—
333	C₂³×D₅	—	4	24	no	—
334	C₂³×D₅	C₂⁴	1	2	yes	—
335	C₂³×D₅	C₂⁴	1	6	yes	—
336	C₂³×D₅	C₂⁴	1	3	yes	—
337	C₂³×D₅	C₂⁴	1	12	yes	—
338	C₂³×D₅	C₂⁴	1	6	yes	—
339	C₅×#41	—	2	8	no	—
340	C₅×#41	—	2	24	no	—
341	C₅×#41	—	2	12	no	—
342	C₅×#41	—	2	12	no	—
343	C₅×#41	C₂×D₄	1	8	yes	complemented
344	C₂×C₅×Q₈	—	2	8	no	—
345	C₂×C₅×Q₈	—	2	12	no	—
346	C₂×C₅×Q₈	C₂⁴	1	6	yes	—
347	C₂×C₅×Q₈	C₂⁴	1	3	yes	—
348	C₂×C₅×Q₈	C₂⁴	1	1	yes	characteristic
349	C₂×C₅×Q₈	C₂⁴	1	1	yes	characteristic
350	C₂×C₅×D₄	—	2	24	no	—
351	C₂×C₅×D₄	—	2	12	no	—
352	C₂×C₅×D₄	C₂⁴	1	6	yes	—
353	C₂×C₅×D₄	C₂⁴	1	6	yes	—
354	C₂×C₅×D₄	C₂⁴	1	6	yes	—
355	C₂×C₅×D₄	C₂⁴	1	3	yes	—
356	C₂×C₅×D₄	C₂⁴	1	1	yes	characteristic
357	C₂×C₅×D₄	C₂⁴	1	12	yes	—
358	C₂×C₅×D₄	C₂⁴	1	3	yes	—
359	C₂²×C₄×C₅	C₂⁴	1	6	yes	—
360	C₂²×C₄×C₅	C₂⁴	1	6	yes	—
361	C₂²×C₄×C₅	C₂⁴	1	6	yes	—
362	C₂²×C₄×C₅	C₂⁴	1	6	yes	—
363	C₂²×C₄×C₅	C₂⁴	1	3	yes	—
364	C₂×C₂²⋊D₅	—	2	48	no	—
365	C₂×C₂²⋊D₅	—	2	24	no	—
366	C₂×C₂²⋊D₅	C₂⁴	1	6	yes	—
367	C₂×C₂²⋊D₅	C₂⁴	1	6	yes	—
368	C₂×C₂²⋊D₅	C₂⁴	1	12	yes	—
369	C₂×C₂²⋊D₅	C₂⁴	1	6	yes	—
370	C₂×C₂²⋊D₅	C₂⁴	1	6	yes	—
371	C₂×C₂²⋊D₅	C₂⁴	1	6	yes	—
372	C₂×C₂²⋊D₅	C₂⁴	1	2	yes	—
373	C₂×C₂²⋊D₅	C₂⁴	1	12	yes	—
374	C₂×C₂²⋊D₅	C₂⁴	1	12	yes	—
375	C₂×C₂²⋊D₅	C₂⁴	1	6	yes	—
376	C₂²×Dic₅	C₂⁴	1	6	yes	—
377	C₂²×Dic₅	C₂⁴	1	6	yes	—
378	C₂²×Dic₅	C₂⁴	1	6	yes	—
379	C₂²×Dic₅	C₂⁴	1	6	yes	—
380	C₂²×Dic₅	C₂⁴	1	3	yes	—
381	#713	—	2	8	no	—
382	#713	—	2	24	no	—
383	#713	—	2	12	no	—
384	#713	—	2	12	no	—
385	#713	C₂×D₄	1	8	yes	complemented
386	Q₈×D₅	—	2	8	no	—
387	Q₈×D₅	—	2	24	no	—
388	Q₈×D₅	—	2	12	no	—
389	Q₈×D₅	—	2	24	no	—
390	Q₈×D₅	—	2	24	no	—
391	Q₈×D₅	—	2	4	no	—
392	Q₈×D₅	—	2	24	no	—
393	Q₈×D₅	C₂×D₄	1	8	yes	—
394	#711	—	2	24	no	—
395	#711	—	2	48	no	—
396	#711	—	2	24	no	—
397	#711	—	2	24	no	—
398	#711	—	2	12	no	—
399	#711	—	2	12	no	—
400	#711	—	2	24	no	—
401	#711	C₂×D₄	1	24	yes	complemented
402	D₄×D₅	—	2	24	no	—
403	D₄×D₅	—	2	24	no	—
404	D₄×D₅	—	2	24	no	—
405	D₄×D₅	—	2	48	no	—
406	D₄×D₅	—	2	24	no	—
407	D₄×D₅	—	2	24	no	—
408	D₄×D₅	—	2	12	no	—
409	D₄×D₅	—	2	24	no	—
410	D₄×D₅	—	2	24	no	—
411	D₄×D₅	—	2	4	no	—
412	D₄×D₅	—	4	24	no	—
413	D₄×D₅	C₂×D₄	1	24	yes	—
414	#709	—	2	12	no	—
415	#709	—	2	12	no	—
416	#709	—	2	48	no	—
417	#709	—	2	24	no	—
418	#709	—	2	24	no	—
419	#709	—	2	24	no	—
420	#709	—	2	24	no	—
421	#709	C₂×D₄	1	24	yes	complemented
422	C₂×D₂₀	—	2	12	no	—
423	C₂×D₂₀	—	2	24	no	—
424	C₂×D₂₀	C₂⁴	1	3	yes	—
425	C₂×D₂₀	C₂⁴	1	6	yes	—
426	C₂×D₂₀	C₂⁴	1	6	yes	—
427	C₂×D₂₀	C₂⁴	1	1	yes	characteristic
428	C₂×D₂₀	C₂⁴	1	6	yes	—
429	C₂×D₂₀	C₂⁴	1	12	yes	—
430	C₂×D₂₀	C₂⁴	1	3	yes	—
431	C₂×C₄×D₅	—	2	24	no	—
432	C₂×C₄×D₅	—	2	24	no	—
433	C₂×C₄×D₅	—	2	24	no	—
434	C₂×C₄×D₅	—	4	12	no	—
435	C₂×C₄×D₅	C₂×D₄	1	24	yes	—
436	C₂×C₄×D₅	C₂⁴	1	2	yes	—
437	C₂×C₄×D₅	C₂⁴	1	6	yes	—
438	C₂×C₄×D₅	C₂⁴	1	2	yes	—
439	C₂×C₄×D₅	C₂⁴	1	6	yes	—
440	C₂×C₄×D₅	C₂⁴	1	6	yes	—
441	C₂×C₄×D₅	C₂⁴	1	6	yes	—
442	C₂×C₄×D₅	C₂⁴	1	12	yes	—
443	C₂×C₄×D₅	C₂⁴	1	6	yes	—
444	C₂×C₄×D₅	C₂⁴	1	6	yes	—
445	C₂×C₄×D₅	C₂⁴	1	6	yes	—
446	C₂×C₄×D₅	C₂⁴	1	6	yes	—
447	C₂×C₄×D₅	C₂⁴	1	3	yes	—
448	C₂×C₄×D₅	C₂⁴	1	1	yes	characteristic
449	C₂×C₄×D₅	C₂⁴	1	3	yes	—
450	C₂×C₄×D₅	C₂⁴	1	3	yes	—
451	C₂×Dic₁₀	—	2	12	no	—
452	C₂×Dic₁₀	—	2	24	no	—
453	C₂×Dic₁₀	—	2	24	no	—
454	C₂×Dic₁₀	C₂⁴	1	3	yes	—
455	C₂×Dic₁₀	C₂⁴	1	6	yes	—
456	C₂×Dic₁₀	C₂⁴	1	12	yes	—
457	C₂×Dic₁₀	C₂⁴	1	6	yes	—
458	C₂×Dic₁₀	C₂⁴	1	1	yes	characteristic
459	C₂×Dic₁₀	C₂⁴	1	2	yes	—
460	C₂×Dic₁₀	C₂⁴	1	3	yes	—
461	C₅×C₄⋊C₄	C₂⁴	1	6	yes	—
462	C₅×C₄⋊C₄	C₂⁴	1	12	yes	—
463	C₅×C₂²⋊C₄	C₂⁴	1	12	yes	—
464	C₅×C₂²⋊C₄	C₂⁴	1	24	yes	—
465	C₅×C₂²⋊C₄	C₂⁴	1	6	yes	—
466	C₅×C₂²⋊C₄	C₂⁴	1	4	yes	—
467	C₄²×C₅	C₂⁴	1	1	yes	characteristic
468	C₄²×C₅	C₂⁴	1	3	yes	—
469	C₄²×C₅	C₂⁴	1	6	yes	—
470	C₂²⋊Dic₅	C₂⁴	1	12	yes	—
471	C₂²⋊Dic₅	C₂⁴	1	24	yes	—
472	C₂²⋊Dic₅	C₂⁴	1	6	yes	—
473	C₂²⋊Dic₅	C₂⁴	1	4	yes	—
474	#685	C₂⁴	1	12	yes	—
475	#685	C₂⁴	1	4	yes	—
476	#685	C₂⁴	1	12	yes	—
477	#685	C₂⁴	1	24	yes	—
478	#685	C₂⁴	1	12	yes	—
479	#685	C₂⁴	1	24	yes	—
480	#685	C₂⁴	1	4	yes	—
481	C₄⋊Dic₅	C₂⁴	1	6	yes	—
482	C₄⋊Dic₅	C₂⁴	1	12	yes	—
483	#683	C₂⁴	1	12	yes	—
484	#683	C₂⁴	1	12	yes	—
485	#683	C₂⁴	1	12	yes	—
486	C₄×Dic₅	C₂⁴	1	6	yes	—
487	C₄×Dic₅	C₂⁴	1	2	yes	—
488	C₄×Dic₅	C₂⁴	1	1	yes	characteristic
489	C₄×Dic₅	C₂⁴	1	3	yes	—
490	C₄×Dic₅	C₂⁴	1	6	yes	—
491	C₄×Dic₅	C₂⁴	1	6	yes	—
492	C₄×Dic₅	C₂⁴	1	6	yes	—
493	C₂×2₋¹⁺⁴	—	5	1	no	—
494	C₂×2₋¹⁺⁴	—	5	3	no	—
495	C₂×2₋¹⁺⁴	—	5	6	no	—
496	C₂×2₋¹⁺⁴	—	5	2	no	—
497	C₂×2₋¹⁺⁴	—	5	3	no	—
498	C₂×2₋¹⁺⁴	—	10	16	no	—
499	C₂×2₋¹⁺⁴	C₂×D₅	1	1	yes	characteristic, complemented
500	C₂×H(5,𝔽₂)	—	5	2	no	—
501	C₂×H(5,𝔽₂)	—	5	3	no	—
502	C₂×H(5,𝔽₂)	—	5	1	no	—
503	C₂×H(5,𝔽₂)	—	5	6	no	—
504	C₂×H(5,𝔽₂)	—	5	3	no	—
505	C₂×H(5,𝔽₂)	—	10	16	no	—
506	C₂×H(5,𝔽₂)	C₂×D₅	1	1	yes	characteristic, complemented
507	C₂²×#41	—	5	1	no	—
508	C₂²×#41	—	5	3	no	—
509	C₂²×#41	—	5	2	no	—
510	C₂²×#41	—	5	3	no	—
511	C₂²×#41	—	5	6	no	—
512	C₂³×Q₈	—	5	3	no	—
513	C₂³×Q₈	—	5	2	no	—
514	C₂³×D₄	—	5	3	no	—
515	C₂³×D₄	—	5	6	no	—
516	#548	—	5	4	no	—
517	#548	—	5	4	no	—
518	#548	—	5	12	no	—
519	#548	—	5	12	no	—
520	#548	—	5	12	no	—
521	#548	—	5	4	no	—
522	#548	—	5	12	no	—
523	#548	C₂×D₅	1	4	yes	complemented
524	#546	—	5	12	no	—
525	#546	—	5	12	no	—
526	#546	—	5	12	no	—
527	#546	—	5	24	no	—
528	#546	—	5	12	no	—
529	#546	—	5	24	no	—
530	#546	—	5	12	no	—
531	#546	—	5	24	no	—
532	#546	—	5	12	no	—
533	#546	—	5	12	no	—
534	#546	—	5	24	no	—
535	#546	C₂×D₅	1	12	yes	complemented
536	#536	—	5	3	no	—
537	#536	—	5	3	no	—
538	#536	—	5	6	no	—
539	#536	—	5	6	no	—
540	#536	—	5	12	no	—
541	#536	—	5	12	no	—
542	#536	—	5	3	no	—
543	#536	C₂×D₅	1	3	yes	complemented
544	#535	—	5	3	no	—
545	#535	—	5	3	no	—
546	#535	—	5	6	no	—
547	#535	—	5	6	no	—
548	#535	—	5	12	no	—
549	#535	—	5	12	no	—
550	#535	—	5	3	no	—
551	#535	C₂×D₅	1	3	yes	complemented
552	#532	—	5	3	no	—
553	#532	—	5	3	no	—
554	#532	—	5	3	no	—
555	#532	—	5	3	no	—
556	#532	—	5	3	no	—
557	#532	—	5	3	no	—
558	#532	—	5	12	no	—
559	#532	—	5	12	no	—
560	#532	—	5	3	no	—
561	#532	C₂×D₅	1	3	yes	complemented
562	C₂×C₄⋊Q₈	—	5	3	no	—
563	C₂×#127	—	5	3	no	—
564	C₂×#124	—	5	3	no	—
565	C₂×#124	—	5	3	no	—
566	C₂×#124	—	5	3	no	—
567	C₂×#124	—	5	6	no	—
568	C₂×#124	—	5	12	no	—
569	C₂×#124	—	5	6	no	—
570	C₂×#124	—	5	6	no	—
571	C₂×#124	—	5	12	no	—
572	C₂×#124	—	5	1	no	—
573	C₂×#124	—	5	12	no	—
574	C₂×#124	—	5	3	no	—
575	C₂×#124	C₂×D₅	1	3	yes	complemented
576	C₂×#123	—	5	12	no	—
577	C₂×C₂²⋊Q₈	—	5	12	no	—
578	C₂×#121	—	5	12	no	—
579	C₂×#121	—	5	12	no	—
580	C₂×#120	—	5	12	no	—
581	C₄×#41	—	5	1	no	—
582	C₄×#41	—	5	2	no	—
583	C₄×#41	—	5	6	no	—
584	C₄×#41	—	5	3	no	—
585	C₄×#41	—	5	3	no	—
586	C₄×#41	C₂×D₅	1	1	yes	characteristic, complemented
587	C₂×C₄×Q₈	—	5	2	no	—
588	C₂×C₄×D₄	—	5	6	no	—
589	C₂×C₄×D₄	—	5	12	no	—
590	C₂×#117	—	5	3	no	—
591	C₂²×C₂²⋊C₄	—	5	12	no	—
592	C₂²×C₄²	—	5	3	no	—
593	C₂³×C₅	—	2	12	no	—
594	C₂³×C₅	—	4	12	no	—
595	C₂³×C₅	C₂⁵	1	6	yes	—
596	C₂³×C₅	C₂⁵	1	2	yes	—
597	C₂³×C₅	C₂⁵	1	3	yes	—
598	C₂²×D₅	—	2	12	no	—
599	C₂²×D₅	—	2	12	no	—
600	C₂²×D₅	—	2	4	no	—
601	C₂²×D₅	—	2	12	no	—
602	C₂²×D₅	—	2	8	no	—
603	C₂²×D₅	—	2	24	no	—
604	C₂²×D₅	—	2	24	no	—
605	C₂²×D₅	—	4	24	no	—
606	C₂²×D₅	—	4	12	no	—
607	C₂²×D₅	—	8	48	no	—
608	C₂²×D₅	C₂²×D₄	1	12	yes	—
609	C₂²×D₅	C₂⁵	1	6	yes	—
610	C₂²×D₅	C₂⁵	1	2	yes	—
611	C₂²×D₅	C₂⁵	1	3	yes	—
612	C₂²×D₅	C₂⁵	1	1	yes	characteristic
613	C₅×Q₈	—	2	6	no	—
614	C₅×Q₈	—	2	12	no	—
615	C₅×Q₈	—	2	2	no	—
616	C₅×Q₈	C₂²×D₄	1	4	yes	—
617	C₅×D₄	—	2	12	no	—
618	C₅×D₄	—	2	12	no	—
619	C₅×D₄	—	2	6	no	—
620	C₅×D₄	—	2	12	no	—
621	C₅×D₄	—	2	2	no	—
622	C₅×D₄	—	4	12	no	—
623	C₅×D₄	C₂²×D₄	1	12	yes	—
624	C₂×C₄×C₅	—	2	12	no	—
625	C₂×C₄×C₅	—	2	12	no	—
626	C₂×C₄×C₅	—	2	12	no	—
627	C₂×C₄×C₅	—	4	6	no	—
628	C₂×C₄×C₅	C₂²×D₄	1	12	yes	—
629	C₂×C₄×C₅	C₂⁵	1	2	yes	—
630	C₂×C₄×C₅	C₂⁵	1	6	yes	—
631	C₂×C₄×C₅	C₂⁵	1	2	yes	—
632	C₂×C₄×C₅	C₂⁵	1	6	yes	—
633	C₂×C₄×C₅	C₂⁵	1	1	yes	characteristic
634	C₂×C₄×C₅	C₂⁵	1	3	yes	—
635	C₂²⋊D₅	—	2	12	no	—
636	C₂²⋊D₅	—	2	12	no	—
637	C₂²⋊D₅	—	2	12	no	—
638	C₂²⋊D₅	—	2	12	no	—
639	C₂²⋊D₅	—	2	4	no	—
640	C₂²⋊D₅	—	2	12	no	—
641	C₂²⋊D₅	—	2	24	no	—
642	C₂²⋊D₅	—	4	12	no	—
643	C₂²⋊D₅	—	4	12	no	—
644	C₂²⋊D₅	C₂²×D₄	1	24	yes	—
645	C₂×Dic₅	—	2	12	no	—
646	C₂×Dic₅	—	2	12	no	—
647	C₂×Dic₅	—	2	12	no	—
648	C₂×Dic₅	—	4	6	no	—
649	C₂×Dic₅	C₂²×D₄	1	12	yes	—
650	C₂×Dic₅	C₂⁵	1	2	yes	—
651	C₂×Dic₅	C₂⁵	1	6	yes	—
652	C₂×Dic₅	C₂⁵	1	2	yes	—
653	C₂×Dic₅	C₂⁵	1	6	yes	—
654	C₂×Dic₅	C₂⁵	1	1	yes	characteristic
655	C₂×Dic₅	C₂⁵	1	3	yes	—
656	D₂₀	—	2	12	no	—
657	D₂₀	—	2	12	no	—
658	D₂₀	—	2	6	no	—
659	D₂₀	—	2	12	no	—
660	D₂₀	—	2	2	no	—
661	D₂₀	—	4	12	no	—
662	D₂₀	C₂²×D₄	1	12	yes	—
663	C₄×D₅	—	2	4	no	—
664	C₄×D₅	—	2	12	no	—
665	C₄×D₅	—	2	24	no	—
666	C₄×D₅	—	2	4	no	—
667	C₄×D₅	—	2	12	no	—
668	C₄×D₅	—	2	12	no	—
669	C₄×D₅	—	2	12	no	—
670	C₄×D₅	—	2	12	no	—
671	C₄×D₅	—	2	12	no	—
672	C₄×D₅	—	4	6	no	—
673	C₄×D₅	—	4	6	no	—
674	C₄×D₅	C₂²×D₄	1	12	yes	—
675	C₄×D₅	C₂²×D₄	1	4	yes	—
676	C₄×D₅	C₂²×D₄	1	12	yes	—
677	C₄×D₅	C₂²×D₄	1	12	yes	—
678	Dic₁₀	—	2	6	no	—
679	Dic₁₀	—	2	12	no	—
680	Dic₁₀	—	2	2	no	—
681	Dic₁₀	—	2	12	no	—
682	Dic₁₀	—	2	24	no	—
683	Dic₁₀	—	2	4	no	—
684	Dic₁₀	C₂²×D₄	1	12	yes	—
685	C₂⁵	—	5	6	no	—
686	2₋¹⁺⁴	—	2	8	no	—
687	2₋¹⁺⁴	—	10	16	no	—
688	2₋¹⁺⁴	—	10	24	no	—
689	2₋¹⁺⁴	—	10	48	no	—
690	2₋¹⁺⁴	—	10	24	no	—
691	2₋¹⁺⁴	—	10	8	no	—
692	H(5,𝔽₂)	—	2	8	no	—
693	H(5,𝔽₂)	—	10	48	no	—
694	H(5,𝔽₂)	—	10	24	no	—
695	H(5,𝔽₂)	—	10	16	no	—
696	H(5,𝔽₂)	—	10	24	no	—
697	H(5,𝔽₂)	—	10	8	no	—
698	C₂×#41	—	5	16	no	—
699	C₂×#41	—	5	1	no	—
700	C₂×#41	—	5	3	no	—
701	C₂×#41	—	5	3	no	—
702	C₂×#41	—	5	6	no	—
703	C₂×#41	—	5	2	no	—
704	C₂×#41	—	5	3	no	—
705	C₂×#41	—	5	6	no	—
706	C₂×#41	—	5	3	no	—
707	C₂×#41	—	5	6	no	—
708	C₂×#41	—	5	3	no	—
709	C₂×#41	—	5	6	no	—
710	C₂×#41	—	5	12	no	—
711	C₂×#41	—	5	6	no	—
712	C₂×#41	—	5	3	no	—
713	C₂×#41	—	5	6	no	—
714	C₂×#41	—	5	3	no	—
715	C₂×#41	—	5	6	no	—
716	C₂×#41	—	5	3	no	—
717	C₂×#41	—	5	6	no	—
718	C₂×#41	—	5	12	no	—
719	C₂×#41	—	5	6	no	—
720	C₂×#41	—	10	24	no	—
721	C₂×#41	—	10	24	no	—
722	C₂×#41	—	10	48	no	—
723	C₂×#41	—	10	16	no	—
724	C₂×#41	C₂²×D₅	1	3	yes	—
725	C₂×#41	C₂²×D₅	1	2	yes	—
726	C₂×#41	C₂²×D₅	1	1	yes	characteristic
727	C₂×#41	C₂²×D₅	1	3	yes	complemented
728	C₂×#41	C₂²×D₅	1	6	yes	complemented
729	C₂²×Q₈	—	5	1	no	—
730	C₂²×Q₈	—	5	6	no	—
731	C₂²×Q₈	—	5	3	no	—
732	C₂²×Q₈	—	5	6	no	—
733	C₂²×Q₈	—	5	6	no	—
734	C₂²×Q₈	—	5	1	no	—
735	C₂²×Q₈	—	5	6	no	—
736	C₂²×Q₈	—	5	2	no	—
737	C₂²×Q₈	—	5	6	no	—
738	C₂²×Q₈	—	5	3	no	—
739	C₂²×Q₈	—	5	6	no	—
740	C₂²×Q₈	—	10	24	no	—
741	C₂²×Q₈	—	10	16	no	—
742	C₂²×Q₈	C₂²×D₅	1	3	yes	complemented
743	C₂²×Q₈	C₂²×D₅	1	2	yes	complemented
744	C₂²×D₄	—	5	3	no	—
745	C₂²×D₄	—	5	6	no	—
746	C₂²×D₄	—	5	12	no	—
747	C₂²×D₄	—	5	6	no	—
748	C₂²×D₄	—	5	6	no	—
749	C₂²×D₄	—	5	6	no	—
750	C₂²×D₄	—	5	3	no	—
751	C₂²×D₄	—	5	6	no	—
752	C₂²×D₄	—	5	6	no	—
753	C₂²×D₄	—	5	1	no	—
754	C₂²×D₄	—	5	12	no	—
755	C₂²×D₄	—	5	6	no	—
756	C₂²×D₄	—	5	6	no	—
757	C₂²×D₄	—	5	12	no	—
758	C₂²×D₄	—	5	3	no	—
759	C₂²×D₄	—	5	6	no	—
760	C₂²×D₄	—	10	24	no	—
761	C₂²×D₄	—	10	48	no	—
762	C₂²×D₄	C₂²×D₅	1	3	yes	—
763	C₂²×D₄	C₂²×D₅	1	6	yes	—
764	C₂³×C₄	—	5	3	no	—
765	C₂³×C₄	—	5	6	no	—
766	C₂³×C₄	—	5	6	no	—
767	C₂³×C₄	—	5	6	no	—
768	C₂³×C₄	—	5	6	no	—
769	C₄⋊Q₈	—	5	3	no	—
770	C₄⋊Q₈	—	5	3	no	—
771	C₄⋊Q₈	—	5	12	no	—
772	C₄⋊Q₈	—	5	3	no	—
773	C₄⋊Q₈	C₂²×D₅	1	3	yes	complemented
774	#127	—	5	12	no	—
775	#127	—	5	3	no	—
776	#127	—	5	3	no	—
777	#127	—	5	3	no	—
778	#127	C₂²×D₅	1	3	yes	complemented
779	#124	—	5	3	no	—
780	#124	—	5	6	no	—
781	#124	—	5	12	no	—
782	#124	—	5	1	no	—
783	#124	—	5	3	no	—
784	#124	—	5	6	no	—
785	#124	—	5	12	no	—
786	#124	—	5	1	no	—
787	#124	—	5	12	no	—
788	#124	—	5	24	no	—
789	#124	—	5	24	no	—
790	#124	—	5	24	no	—
791	#124	—	5	4	no	—
792	#124	—	5	3	no	—
793	#124	—	5	6	no	—
794	#124	—	5	12	no	—
795	#124	—	5	1	no	—
796	#124	C₂²×D₅	1	3	yes	complemented
797	#124	C₂²×D₅	1	6	yes	complemented
798	#124	C₂²×D₅	1	12	yes	complemented
799	#124	C₂²×D₅	1	1	yes	characteristic, complemented
800	#123	—	5	12	no	—
801	#123	—	5	12	no	—
802	#123	—	5	24	no	—
803	#123	—	5	24	no	—
804	#123	—	5	12	no	—
805	#123	C₂²×D₅	1	12	yes	complemented
806	C₂²⋊Q₈	—	5	12	no	—
807	C₂²⋊Q₈	—	5	12	no	—
808	C₂²⋊Q₈	—	5	24	no	—
809	C₂²⋊Q₈	—	5	12	no	—
810	C₂²⋊Q₈	—	5	24	no	—
811	C₂²⋊Q₈	C₂²×D₅	1	12	yes	complemented
812	#121	—	5	12	no	—
813	#121	—	5	12	no	—
814	#121	—	5	12	no	—
815	#121	—	5	12	no	—
816	#121	—	5	24	no	—
817	#121	—	5	12	no	—
818	#121	—	5	12	no	—
819	#121	—	5	12	no	—
820	#121	—	5	12	no	—
821	#121	—	5	12	no	—
822	#121	—	5	12	no	—
823	#121	—	5	24	no	—
824	#121	C₂²×D₅	1	12	yes	complemented
825	#121	C₂²×D₅	1	12	yes	complemented
826	#120	—	5	12	no	—
827	#120	—	5	24	no	—
828	#120	—	5	12	no	—
829	#120	—	5	12	no	—
830	#120	—	5	24	no	—
831	#120	C₂²×D₅	1	12	yes	complemented
832	C₄×Q₈	—	5	2	no	—
833	C₄×Q₈	—	5	6	no	—
834	C₄×Q₈	—	5	6	no	—
835	C₄×Q₈	C₂²×D₅	1	2	yes	complemented
836	C₄×D₄	—	5	6	no	—
837	C₄×D₄	—	5	12	no	—
838	C₄×D₄	—	5	12	no	—
839	C₄×D₄	—	5	12	no	—
840	C₄×D₄	—	5	12	no	—
841	C₄×D₄	—	5	6	no	—
842	C₄×D₄	—	5	12	no	—
843	C₄×D₄	—	5	12	no	—
844	C₄×D₄	—	5	12	no	—
845	C₄×D₄	—	5	12	no	—
846	C₄×D₄	—	5	6	no	—
847	C₄×D₄	—	5	12	no	—
848	C₄×D₄	C₂²×D₅	1	6	yes	complemented
849	C₄×D₄	C₂²×D₅	1	12	yes	complemented
850	#117	—	5	3	no	—
851	#117	—	5	6	no	—
852	#117	—	5	6	no	—
853	#117	—	5	6	no	—
854	#117	C₂²×D₅	1	3	yes	complemented
855	C₂×C₄⋊C₄	—	5	6	no	—
856	C₂×C₄⋊C₄	—	5	12	no	—
857	C₂×C₂²⋊C₄	—	5	12	no	—
858	C₂×C₂²⋊C₄	—	5	12	no	—
859	C₂×C₂²⋊C₄	—	5	12	no	—
860	C₂×C₂²⋊C₄	—	5	12	no	—
861	C₂×C₂²⋊C₄	—	5	24	no	—
862	C₂×C₂²⋊C₄	—	5	24	no	—
863	C₂×C₂²⋊C₄	—	5	24	no	—
864	C₂×C₂²⋊C₄	—	5	6	no	—
865	C₂×C₂²⋊C₄	—	5	4	no	—
866	C₂×C₂²⋊C₄	C₂²×D₅	1	12	yes	complemented
867	C₂×C₄²	—	5	6	no	—
868	C₂×C₄²	—	5	3	no	—
869	C₂×C₄²	—	5	3	no	—
870	C₂×C₄²	—	5	6	no	—
871	C₂×C₄²	—	5	6	no	—
872	C₂×C₄²	—	5	3	no	—
873	C₂×C₄²	—	5	3	no	—
874	C₂×C₄²	—	5	1	no	—
875	C₂×C₄²	C₂²×D₅	1	3	yes	complemented
876	C₂²×C₅	—	2	6	no	—
877	C₂²×C₅	—	2	2	no	—
878	C₂²×C₅	—	2	6	no	—
879	C₂²×C₅	—	2	4	no	—
880	C₂²×C₅	—	2	12	no	—
881	C₂²×C₅	—	8	12	no	—
882	C₂²×C₅	C₂³×D₄	1	6	yes	—
883	C₂²×C₅	C₂⁶	1	1	yes	characteristic
884	C₂×D₅	—	2	6	no	—
885	C₂×D₅	—	2	24	no	—
886	C₂×D₅	—	2	2	no	—
887	C₂×D₅	—	2	6	no	—
888	C₂×D₅	—	2	4	no	—
889	C₂×D₅	—	2	12	no	—
890	C₂×D₅	—	4	8	no	—
891	C₂×D₅	—	4	24	no	—
892	C₂×D₅	—	8	24	no	—
893	C₂×D₅	—	8	12	no	—
894	C₂×D₅	C₂³×D₄	1	6	yes	—
895	C₂×D₅	C₂³×D₄	1	2	yes	—
896	C₂×D₅	#585	1	4	yes	—
897	C₄×C₅	—	2	6	no	—
898	C₄×C₅	—	2	2	no	—
899	C₄×C₅	—	2	2	no	—
900	C₄×C₅	—	2	6	no	—
901	C₄×C₅	C₂³×D₄	1	2	yes	—
902	C₄×C₅	C₂³×D₄	1	6	yes	—
903	Dic₅	—	2	6	no	—
904	Dic₅	—	2	2	no	—
905	Dic₅	—	2	2	no	—
906	Dic₅	—	2	6	no	—
907	Dic₅	C₂³×D₄	1	2	yes	—
908	Dic₅	C₂³×D₄	1	6	yes	—
909	C₂⁴	—	5	3	no	—
910	C₂⁴	—	5	6	no	—
911	C₂⁴	—	5	2	no	—
912	C₂⁴	—	5	12	no	—
913	C₂⁴	—	5	6	no	—
914	C₂⁴	—	10	24	no	—
915	C₂⁴	—	20	24	no	—
916	C₂⁴	C₂³×D₅	1	6	yes	—
917	#41	—	2	8	no	—
918	#41	—	2	24	no	—
919	#41	—	2	12	no	—
920	#41	—	2	12	no	—
921	#41	—	5	8	no	—
922	#41	—	5	24	no	—
923	#41	—	5	24	no	—
924	#41	—	10	24	no	—
925	#41	—	10	24	no	—
926	#41	—	10	48	no	—
927	#41	—	10	24	no	—
928	#41	—	10	24	no	—
929	#41	—	10	24	no	—
930	#41	—	10	12	no	—
931	#41	—	10	24	no	—
932	#41	—	10	12	no	—
933	#41	—	10	12	no	—
934	#41	—	10	12	no	—
935	#41	—	10	48	no	—
936	#41	—	10	24	no	—
937	#41	—	10	24	no	—
938	#41	—	10	8	no	—
939	#41	—	10	24	no	—
940	#41	—	10	12	no	—
941	#41	—	10	12	no	—
942	#41	D₄×D₅	1	8	yes	complemented
943	C₂×Q₈	—	2	8	no	—
944	C₂×Q₈	—	2	12	no	—
945	C₂×Q₈	—	5	8	no	—
946	C₂×Q₈	—	5	3	no	—
947	C₂×Q₈	—	5	12	no	—
948	C₂×Q₈	—	5	6	no	—
949	C₂×Q₈	—	5	6	no	—
950	C₂×Q₈	—	5	3	no	—
951	C₂×Q₈	—	5	2	no	—
952	C₂×Q₈	—	5	1	no	—
953	C₂×Q₈	—	10	24	no	—
954	C₂×Q₈	—	10	24	no	—
955	C₂×Q₈	—	10	12	no	—
956	C₂×Q₈	—	10	24	no	—
957	C₂×Q₈	—	10	24	no	—
958	C₂×Q₈	—	10	24	no	—
959	C₂×Q₈	—	10	4	no	—
960	C₂×Q₈	—	10	24	no	—
961	C₂×Q₈	—	10	8	no	—
962	C₂×Q₈	—	10	12	no	—
963	C₂×Q₈	C₂³×D₅	1	6	yes	—
964	C₂×Q₈	C₂³×D₅	1	3	yes	—
965	C₂×Q₈	C₂³×D₅	1	1	yes	characteristic
966	C₂×Q₈	C₂³×D₅	1	1	yes	characteristic
967	C₂×D₄	—	2	24	no	—
968	C₂×D₄	—	2	12	no	—
969	C₂×D₄	—	5	6	no	—
970	C₂×D₄	—	5	24	no	—
971	C₂×D₄	—	5	6	no	—
972	C₂×D₄	—	5	6	no	—
973	C₂×D₄	—	5	6	no	—
974	C₂×D₄	—	5	6	no	—
975	C₂×D₄	—	5	12	no	—
976	C₂×D₄	—	5	6	no	—
977	C₂×D₄	—	5	2	no	—
978	C₂×D₄	—	5	12	no	—
979	C₂×D₄	—	5	12	no	—
980	C₂×D₄	—	5	3	no	—
981	C₂×D₄	—	5	6	no	—
982	C₂×D₄	—	5	6	no	—
983	C₂×D₄	—	5	6	no	—
984	C₂×D₄	—	5	3	no	—
985	C₂×D₄	—	5	1	no	—
986	C₂×D₄	—	5	12	no	—
987	C₂×D₄	—	10	24	no	—
988	C₂×D₄	—	10	12	no	—
989	C₂×D₄	—	10	24	no	—
990	C₂×D₄	—	10	24	no	—
991	C₂×D₄	—	10	24	no	—
992	C₂×D₄	—	10	4	no	—
993	C₂×D₄	—	10	24	no	—
994	C₂×D₄	—	10	48	no	—
995	C₂×D₄	—	10	24	no	—
996	C₂×D₄	—	10	24	no	—
997	C₂×D₄	—	10	24	no	—
998	C₂×D₄	—	10	48	no	—
999	C₂×D₄	—	10	24	no	—
1000	C₂×D₄	—	10	12	no	—
1001	C₂×D₄	—	20	24	no	—
1002	C₂×D₄	C₂³×D₅	1	6	yes	—
1003	C₂×D₄	C₂³×D₅	1	6	yes	—
1004	C₂×D₄	C₂³×D₅	1	6	yes	—
1005	C₂×D₄	C₂³×D₅	1	3	yes	—
1006	C₂×D₄	C₂³×D₅	1	1	yes	characteristic
1007	C₂×D₄	C₂³×D₅	1	12	yes	—
1008	C₂×D₄	C₂³×D₅	1	3	yes	—
1009	C₂²×C₄	—	5	3	no	—
1010	C₂²×C₄	—	5	24	no	—
1011	C₂²×C₄	—	5	1	no	—
1012	C₂²×C₄	—	5	3	no	—
1013	C₂²×C₄	—	5	3	no	—
1014	C₂²×C₄	—	5	3	no	—
1015	C₂²×C₄	—	5	6	no	—
1016	C₂²×C₄	—	5	6	no	—
1017	C₂²×C₄	—	5	6	no	—
1018	C₂²×C₄	—	5	6	no	—
1019	C₂²×C₄	—	5	2	no	—
1020	C₂²×C₄	—	5	6	no	—
1021	C₂²×C₄	—	5	6	no	—
1022	C₂²×C₄	—	5	12	no	—
1023	C₂²×C₄	—	5	2	no	—
1024	C₂²×C₄	—	5	6	no	—
1025	C₂²×C₄	—	5	6	no	—
1026	C₂²×C₄	—	5	6	no	—
1027	C₂²×C₄	—	5	6	no	—
1028	C₂²×C₄	—	5	6	no	—
1029	C₂²×C₄	—	5	6	no	—
1030	C₂²×C₄	—	10	24	no	—
1031	C₂²×C₄	—	10	24	no	—
1032	C₂²×C₄	—	10	24	no	—
1033	C₂²×C₄	—	20	12	no	—
1034	C₂²×C₄	C₂³×D₅	1	6	yes	—
1035	C₂²×C₄	C₂³×D₅	1	6	yes	—
1036	C₂²×C₄	C₂³×D₅	1	6	yes	—
1037	C₂²×C₄	C₂³×D₅	1	6	yes	—
1038	C₂²×C₄	C₂³×D₅	1	3	yes	—
1039	C₄⋊C₄	—	5	12	no	—
1040	C₄⋊C₄	—	5	6	no	—
1041	C₄⋊C₄	—	5	12	no	—
1042	C₄⋊C₄	—	5	12	no	—
1043	C₄⋊C₄	—	5	12	no	—
1044	C₄⋊C₄	C₂³×D₅	1	6	yes	—
1045	C₄⋊C₄	C₂³×D₅	1	12	yes	—
1046	C₂²⋊C₄	—	5	12	no	—
1047	C₂²⋊C₄	—	5	24	no	—
1048	C₂²⋊C₄	—	5	6	no	—
1049	C₂²⋊C₄	—	5	4	no	—
1050	C₂²⋊C₄	—	5	12	no	—
1051	C₂²⋊C₄	—	5	12	no	—
1052	C₂²⋊C₄	—	5	24	no	—
1053	C₂²⋊C₄	—	5	24	no	—
1054	C₂²⋊C₄	—	5	12	no	—
1055	C₂²⋊C₄	—	5	4	no	—
1056	C₂²⋊C₄	—	5	4	no	—
1057	C₂²⋊C₄	C₂³×D₅	1	12	yes	—
1058	C₂²⋊C₄	C₂³×D₅	1	24	yes	—
1059	C₂²⋊C₄	C₂³×D₅	1	6	yes	—
1060	C₂²⋊C₄	C₂³×D₅	1	4	yes	—
1061	C₄²	—	5	2	no	—
1062	C₄²	—	5	1	no	—
1063	C₄²	—	5	6	no	—
1064	C₄²	—	5	3	no	—
1065	C₄²	—	5	6	no	—
1066	C₄²	—	5	6	no	—
1067	C₄²	—	5	6	no	—
1068	C₄²	C₂³×D₅	1	1	yes	characteristic
1069	C₄²	C₂³×D₅	1	3	yes	—
1070	C₄²	C₂³×D₅	1	6	yes	—
1071	C₂×C₅	—	2	6	no	—
1072	C₂×C₅	—	4	6	no	—
1073	C₂×C₅	—	4	2	no	—
1074	C₂×C₅	C₂⁴×D₄	1	1	yes	characteristic
1075	C₂×C₅	C₂×#585	1	2	yes	—
1076	D₅	—	2	6	no	—
1077	D₅	—	4	2	no	—
1078	D₅	—	4	6	no	—
1079	D₅	#3500	1	4	yes	direct product factor
1080	C₂³	—	2	12	no	—
1081	C₂³	—	4	12	no	—
1082	C₂³	—	5	1	no	—
1083	C₂³	—	5	12	no	—
1084	C₂³	—	5	3	no	—
1085	C₂³	—	5	6	no	—
1086	C₂³	—	5	2	no	—
1087	C₂³	—	10	12	no	—
1088	C₂³	—	10	4	no	—
1089	C₂³	—	10	12	no	—
1090	C₂³	—	10	8	no	—
1091	C₂³	—	10	24	no	—
1092	C₂³	—	10	24	no	—
1093	C₂³	—	10	12	no	—
1094	C₂³	—	20	12	no	—
1095	C₂³	—	20	24	no	—
1096	C₂³	—	40	48	no	—
1097	C₂³	C₂⁴×D₅	1	6	yes	—
1098	C₂³	C₂⁴×D₅	1	2	yes	—
1099	C₂³	C₂⁴×D₅	1	3	yes	—
1100	Q₈	—	2	12	no	—
1101	Q₈	—	2	6	no	—
1102	Q₈	—	2	2	no	—
1103	Q₈	—	5	12	no	—
1104	Q₈	—	10	12	no	—
1105	Q₈	—	10	24	no	—
1106	Q₈	—	10	4	no	—
1107	Q₈	—	10	12	no	—
1108	Q₈	—	10	6	no	—
1109	Q₈	—	10	2	no	—
1110	Q₈	C₂×D₄×D₅	1	4	yes	—
1111	D₄	—	2	12	no	—
1112	D₄	—	2	12	no	—
1113	D₄	—	2	12	no	—
1114	D₄	—	2	6	no	—
1115	D₄	—	2	2	no	—
1116	D₄	—	4	12	no	—
1117	D₄	—	5	24	no	—
1118	D₄	—	5	12	no	—
1119	D₄	—	10	12	no	—
1120	D₄	—	10	12	no	—
1121	D₄	—	10	12	no	—
1122	D₄	—	10	24	no	—
1123	D₄	—	10	4	no	—
1124	D₄	—	10	12	no	—
1125	D₄	—	10	12	no	—
1126	D₄	—	10	12	no	—
1127	D₄	—	10	12	no	—
1128	D₄	—	10	12	no	—
1129	D₄	—	10	6	no	—
1130	D₄	—	10	2	no	—
1131	D₄	—	20	12	no	—
1132	D₄	—	20	12	no	—
1133	D₄	—	20	12	no	—
1134	D₄	C₂×D₄×D₅	1	12	yes	—
1135	C₂×C₄	—	2	12	no	—
1136	C₂×C₄	—	2	12	no	—
1137	C₂×C₄	—	2	12	no	—
1138	C₂×C₄	—	4	6	no	—
1139	C₂×C₄	—	5	12	no	—
1140	C₂×C₄	—	5	1	no	—
1141	C₂×C₄	—	5	3	no	—
1142	C₂×C₄	—	5	4	no	—
1143	C₂×C₄	—	5	12	no	—
1144	C₂×C₄	—	5	12	no	—
1145	C₂×C₄	—	5	12	no	—
1146	C₂×C₄	—	5	2	no	—
1147	C₂×C₄	—	5	6	no	—
1148	C₂×C₄	—	5	6	no	—
1149	C₂×C₄	—	5	2	no	—
1150	C₂×C₄	—	10	12	no	—
1151	C₂×C₄	—	10	12	no	—
1152	C₂×C₄	—	10	4	no	—
1153	C₂×C₄	—	10	12	no	—
1154	C₂×C₄	—	10	24	no	—
1155	C₂×C₄	—	10	4	no	—
1156	C₂×C₄	—	10	12	no	—
1157	C₂×C₄	—	10	12	no	—
1158	C₂×C₄	—	10	12	no	—
1159	C₂×C₄	—	10	12	no	—
1160	C₂×C₄	—	10	12	no	—
1161	C₂×C₄	—	10	12	no	—
1162	C₂×C₄	—	20	6	no	—
1163	C₂×C₄	—	20	6	no	—
1164	C₂×C₄	—	20	6	no	—
1165	C₂×C₄	C₂×D₄×D₅	1	12	yes	—
1166	C₂×C₄	C₂⁴×D₅	1	2	yes	—
1167	C₂×C₄	C₂⁴×D₅	1	6	yes	—
1168	C₂×C₄	C₂⁴×D₅	1	6	yes	—
1169	C₂×C₄	C₂⁴×D₅	1	2	yes	—
1170	C₂×C₄	C₂⁴×D₅	1	1	yes	characteristic
1171	C₂×C₄	C₂⁴×D₅	1	3	yes	—
1172	C₅	C₂×#3500	1	1	yes	characteristic, complemented, Sylow
1173	C₂²	—	2	6	no	—
1174	C₂²	—	2	2	no	—
1175	C₂²	—	2	6	no	—
1176	C₂²	—	2	4	no	—
1177	C₂²	—	2	12	no	—
1178	C₂²	—	5	2	no	—
1179	C₂²	—	5	4	no	—
1180	C₂²	—	5	6	no	—
1181	C₂²	—	8	12	no	—
1182	C₂²	—	10	24	no	—
1183	C₂²	—	10	6	no	—
1184	C₂²	—	10	2	no	—
1185	C₂²	—	10	6	no	—
1186	C₂²	—	10	4	no	—
1187	C₂²	—	10	12	no	—
1188	C₂²	—	20	24	no	—
1189	C₂²	—	20	8	no	—
1190	C₂²	—	40	12	no	—
1191	C₂²	—	40	24	no	—
1192	C₂²	C₂²×D₄×D₅	1	6	yes	—
1193	C₂²	C₂⁵×D₅	1	1	yes	characteristic
1194	C₄	—	2	2	no	—
1195	C₄	—	2	6	no	—
1196	C₄	—	2	2	no	—
1197	C₄	—	2	6	no	—
1198	C₄	—	5	2	no	—
1199	C₄	—	5	6	no	—
1200	C₄	—	10	2	no	—
1201	C₄	—	10	6	no	—
1202	C₄	—	10	2	no	—
1203	C₄	—	10	6	no	—
1204	C₄	C₂²×D₄×D₅	1	6	yes	—
1205	C₄	C₂²×D₄×D₅	1	2	yes	—
1206	C₂	—	2	6	no	—
1207	C₂	—	4	6	no	—
1208	C₂	—	4	2	no	—
1209	C₂	—	5	4	no	—
1210	C₂	—	10	6	no	—
1211	C₂	—	20	6	no	—
1212	C₂	—	20	2	no	—
1213	C₂	C₂³×D₄×D₅	1	1	yes	characteristic
1214	C₂	D₅×#585	1	2	yes	—

	subgroup	G/H
center, Frattini	C₂²	C₂⁵×D₅
commutator, socle, cosocle	C₂²×C₅	C₂⁶
Fitting	C₅×#3500	C₂
hypercenter	#3500	D₅
hypocenter	C₅	C₂×#3500
LCS	G ▷ C₂²×C₅ ▷ C₅
UCS	C₁ ◁ C₂² ◁ #3500

Complements

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

N	H ≅ G/N	type
1. C₂×D₅×2₋¹⁺⁴	C₂	semidirect
2. C₂×D₅×H(5,𝔽₂)	C₂	semidirect
3. C₅×#3500	C₂	semidirect
4. #10619194	C₂	semidirect
5. #10619184	C₂	semidirect
6. D₅×#548	C₂	semidirect
7. #10618616	C₂	semidirect
8. D₅×#546	C₂	semidirect
9. #10618533	C₂	semidirect
10. D₅×#536	C₂	semidirect
11. #10618242	C₂	semidirect
12. D₅×#535	C₂	semidirect
13. #10618218	C₂	semidirect
14. #10618145	C₂	semidirect
15. D₅×#532	C₂	semidirect
16. #10617977	C₂	semidirect
17. C₂×D₅×#124	C₂	semidirect
18. #10617748	C₂	semidirect
19. C₄×D₅×#41	C₂	semidirect
20. C₂×C₅×2₋¹⁺⁴	C₂²	semidirect
21. C₂×C₅×H(5,𝔽₂)	C₂²	semidirect
24. C₂×#4150	C₂²	semidirect
25. C₂×#4150	C₂²	semidirect
26. C₂×#4150	C₂²	semidirect
27. C₂×#4149	C₂²	semidirect
28. C₂×#4149	C₂²	semidirect
29. C₂×#4149	C₂²	semidirect
33. C₂×D₅×#41	C₂²	semidirect
34. C₂×D₅×#41	C₂²	semidirect
35. C₂×#4147	C₂²	semidirect
36. C₂×#4147	C₂²	semidirect
37. C₂²×Q₈×D₅	C₂²	semidirect
38. C₂²×Q₈×D₅	C₂²	semidirect
39. C₂×#4144	C₂²	semidirect
40. C₂×#4144	C₂²	semidirect
43. C₅×#548	C₂²	semidirect
44. C₅×#546	C₂²	semidirect
45. C₅×#536	C₂²	semidirect
46. C₅×#535	C₂²	semidirect
47. C₅×#532	C₂²	semidirect
48. C₂×C₅×#124	C₂²	semidirect
49. C₄×C₅×#41	C₂²	semidirect
50. #66166	C₂²	semidirect
51. #66166	C₂²	semidirect
52. #66165	C₂²	semidirect
53. #66164	C₂²	semidirect
54. #66163	C₂²	semidirect
55. #41×Dic₅	C₂²	semidirect
56. #66159	C₂²	semidirect
57. #66151	C₂²	semidirect
58. #66150	C₂²	semidirect
59. C₂×#4093	C₂²	semidirect
60. #66140	C₂²	semidirect
61. #66139	C₂²	semidirect
62. C₂×#4082	C₂²	semidirect
63. #66059	C₂²	semidirect
64. #66058	C₂²	semidirect
65. D₅×C₄⋊Q₈	C₂²	semidirect
66. #66050	C₂²	semidirect
67. #66049	C₂²	semidirect
68. D₅×#127	C₂²	semidirect
69. #66011	C₂²	semidirect
70. #66010	C₂²	semidirect
71. #66009	C₂²	semidirect
72. #66008	C₂²	semidirect
73. D₅×#124	C₂²	semidirect
74. D₅×#124	C₂²	semidirect
75. D₅×#124	C₂²	semidirect
76. D₅×#124	C₂²	semidirect
77. D₅×#124	C₂²	semidirect
78. D₅×#124	C₂²	semidirect
79. D₅×#124	C₂²	semidirect
80. #66002	C₂²	semidirect
81. #66002	C₂²	semidirect
82. #65988	C₂²	semidirect
83. D₅×#123	C₂²	semidirect
84. #65982	C₂²	semidirect
85. #65967	C₂²	semidirect
86. #65964	C₂²	semidirect
87. #65962	C₂²	semidirect
88. D₅×C₂²⋊Q₈	C₂²	semidirect
89. #65946	C₂²	semidirect
90. #65944	C₂²	semidirect
91. #65941	C₂²	semidirect
92. D₅×#121	C₂²	semidirect
93. D₅×#121	C₂²	semidirect
94. #65932	C₂²	semidirect
95. #65930	C₂²	semidirect
96. #65926	C₂²	semidirect
97. #65925	C₂²	semidirect
98. D₅×#120	C₂²	semidirect
99. #65910	C₂²	semidirect
100. C₄×#713	C₂²	semidirect
101. C₄×Q₈×D₅	C₂²	semidirect
102. #65888	C₂²	semidirect
103. #65886	C₂²	semidirect
104. #65884	C₂²	semidirect
105. #65882	C₂²	semidirect
106. C₄×D₄×D₅	C₂²	semidirect
107. C₄×D₄×D₅	C₂²	semidirect
108. C₄×#711	C₂²	semidirect
109. #65860	C₂²	semidirect
110. #65859	C₂²	semidirect
111. #65856	C₂²	semidirect
112. D₅×#117	C₂²	semidirect
113. C₂×#4031	C₂²	semidirect
114. #65824	C₂²	semidirect
115. C₂×D₅×C₂²⋊C₄	C₂²	semidirect
116. #65811	C₂²	semidirect
117. C₂×#4021	C₂²	semidirect
118. C₄×#709	C₂²	semidirect
119. C₂×C₄²×D₅	C₂²	semidirect
127. C₂×C₅×#41	C₂³	semidirect
128. C₂×C₅×#41	C₂³	semidirect
129. C₂²×C₅×Q₈	C₂³	semidirect
130. C₂²×C₅×Q₈	C₂³	semidirect
145. D₅×#41	D₄	semidirect
151. C₂×#713	C₂³	semidirect
152. C₂×#713	C₂³	semidirect
159. C₂×Q₈×D₅	C₂³	semidirect
160. C₂×Q₈×D₅	C₂³	semidirect
161. C₂×Q₈×D₅	C₂³	semidirect
162. C₂×Q₈×D₅	C₂³	semidirect
169. C₂×#711	C₂³	semidirect
170. C₂×#711	C₂³	semidirect
171. C₂×#711	C₂³	semidirect
172. C₂×#711	C₂³	semidirect
191. C₂×#709	C₂³	semidirect
192. C₂×#709	C₂³	semidirect
193. C₂×#709	C₂³	semidirect
194. C₂×#709	C₂³	semidirect
202. C₂²×Dic₁₀	C₂³	semidirect
203. C₂²×Dic₁₀	C₂³	semidirect
204. C₂²×Dic₁₀	C₂³	semidirect
205. C₅×C₄⋊Q₈	C₂³	semidirect
206. C₅×#127	C₂³	semidirect
207. C₅×#124	C₂³	semidirect
208. C₅×#124	C₂³	semidirect
209. C₅×#124	C₂³	semidirect
210. C₅×#124	C₂³	semidirect
211. C₅×#123	C₂³	semidirect
212. C₅×C₂²⋊Q₈	C₂³	semidirect
213. C₅×#121	C₂³	semidirect
214. C₅×#121	C₂³	semidirect
215. C₅×#120	C₂³	semidirect
216. C₄×C₅×Q₈	C₂³	semidirect
217. C₄×C₅×D₄	C₂³	semidirect
218. C₄×C₅×D₄	C₂³	semidirect
219. C₅×#117	C₂³	semidirect
220. C₂×C₅×C₂²⋊C₄	C₂³	semidirect
221. C₂×C₄²×C₅	C₂³	semidirect
222. #4099	C₂³	semidirect
223. C₂×C₂²⋊Dic₅	C₂³	semidirect
224. #4093	C₂³	semidirect
225. #4093	C₂³	semidirect
226. #4093	C₂³	semidirect
227. #4093	C₂³	semidirect
228. #4092	C₂³	semidirect
229. Q₈×Dic₅	C₂³	semidirect
230. #4090	C₂³	semidirect
231. #4090	C₂³	semidirect
232. #4086	C₂³	semidirect
233. #4086	C₂³	semidirect
234. #4086	C₂³	semidirect
235. #4085	C₂³	semidirect
236. #4085	C₂³	semidirect
237. #4085	C₂³	semidirect
238. #4084	C₂³	semidirect
239. #4084	C₂³	semidirect
240. #4083	C₂³	semidirect
241. #4083	C₂³	semidirect
242. #4082	C₂³	semidirect
243. #4082	C₂³	semidirect
244. #4082	C₂³	semidirect
245. #4082	C₂³	semidirect
246. #4081	C₂³	semidirect
247. D₄×Dic₅	C₂³	semidirect
248. D₄×Dic₅	C₂³	semidirect
249. #4076	C₂³	semidirect
250. #4076	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. C₂×#685	C₂³	semidirect
256. C₂×#685	C₂³	semidirect
257. #4072	C₂³	semidirect
258. #4070	C₂³	semidirect
259. C₂×C₄×Dic₅	C₂³	semidirect
260. C₂×C₄×Dic₅	C₂³	semidirect
261. #4043	C₂³	semidirect
262. #4042	C₂³	semidirect
263. #4041	C₂³	semidirect
264. #4041	C₂³	semidirect
265. #4040	C₂³	semidirect
266. #4039	C₂³	semidirect
267. #4039	C₂³	semidirect
268. #4038	C₂³	semidirect
271. #4034	C₂³	semidirect
272. #4033	C₂³	semidirect
273. #4032	C₂³	semidirect
274. #4031	C₂³	semidirect
275. #4031	C₂³	semidirect
276. #4031	C₂³	semidirect
277. #4031	C₂³	semidirect
278. #4031	C₂³	semidirect
279. #4030	C₂³	semidirect
280. #4030	C₂³	semidirect
281. #4030	C₂³	semidirect
282. #4029	C₂³	semidirect
283. #4028	C₂³	semidirect
284. #4028	C₂³	semidirect
285. #4027	C₂³	semidirect
286. #4027	C₂³	semidirect
287. #4027	C₂³	semidirect
292. D₅×C₂²⋊C₄	C₂³	semidirect
293. D₅×C₂²⋊C₄	C₂³	semidirect
294. #4024	C₂³	semidirect
295. #4023	C₂³	semidirect
296. #4021	C₂³	semidirect
297. #4021	C₂³	semidirect
298. #4021	C₂³	semidirect
299. #4021	C₂³	semidirect
300. #4020	C₂³	semidirect
301. C₄×D₂₀	C₂³	semidirect
302. C₄×D₂₀	C₂³	semidirect
303. #4018	C₂³	semidirect
307. C₄²×D₅	C₂³	semidirect
308. C₄²×D₅	C₂³	semidirect
309. C₄²×D₅	C₂³	semidirect
310. #4015	C₂³	semidirect
311. C₄×Dic₁₀	C₂³	semidirect
323. #3500	D₅	direct (N × H)
343. C₅×#41	C₂×D₄	semidirect
385. #713	C₂×D₄	semidirect
401. #711	C₂×D₄	semidirect
421. #709	C₂×D₄	semidirect
499. C₂×2₋¹⁺⁴	C₂×D₅	semidirect
506. C₂×H(5,𝔽₂)	C₂×D₅	semidirect
523. #548	C₂×D₅	semidirect
535. #546	C₂×D₅	semidirect
543. #536	C₂×D₅	semidirect
551. #535	C₂×D₅	semidirect
561. #532	C₂×D₅	semidirect
575. C₂×#124	C₂×D₅	semidirect
586. C₄×#41	C₂×D₅	semidirect
727. C₂×#41	C₂²×D₅	semidirect
728. C₂×#41	C₂²×D₅	semidirect
742. C₂²×Q₈	C₂²×D₅	semidirect
743. C₂²×Q₈	C₂²×D₅	semidirect
773. C₄⋊Q₈	C₂²×D₅	semidirect
778. #127	C₂²×D₅	semidirect
796. #124	C₂²×D₅	semidirect
797. #124	C₂²×D₅	semidirect
798. #124	C₂²×D₅	semidirect
799. #124	C₂²×D₅	semidirect
805. #123	C₂²×D₅	semidirect
811. C₂²⋊Q₈	C₂²×D₅	semidirect
824. #121	C₂²×D₅	semidirect
825. #121	C₂²×D₅	semidirect
831. #120	C₂²×D₅	semidirect
835. C₄×Q₈	C₂²×D₅	semidirect
848. C₄×D₄	C₂²×D₅	semidirect
849. C₄×D₄	C₂²×D₅	semidirect
854. #117	C₂²×D₅	semidirect
866. C₂×C₂²⋊C₄	C₂²×D₅	semidirect
875. C₂×C₄²	C₂²×D₅	semidirect
942. #41	D₄×D₅	semidirect
1079. D₅	#3500	direct (N × H)
1172. C₅	C₂×#3500	semidirect

Maximal subgroups

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

subgroup	index
C₂×D₅×2₋¹⁺⁴	2
C₂×D₅×H(5,𝔽₂)	2
C₅×#3500	2
#10619194	2
#10619184	2
D₅×#548	2
#10618616	2
D₅×#546	2
#10618533	2
D₅×#536	2
#10618242	2
D₅×#535	2
#10618218	2
#10618145	2
D₅×#532	2
#10617977	2
C₂×D₅×#124	2
#10617748	2
C₄×D₅×#41	2
C₂×#3500	5

Subgroups — D5×#3500 #13007764

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — D₅×#3500 #13007764