Subgroups — D₄×D₅×#41 #13006253

Order 1280.

12314 conjugacy classes of subgroups.

The subgroup lattice has 1564 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂²×D₅×#41	C₂	1	2	yes	maximal, complemented
2	C₅×D₄×#41	C₂	1	1	yes	maximal, characteristic, complemented
3	#41×C₂²⋊D₅	C₂	1	2	yes	maximal, complemented
4	D₅×#550	C₂	1	1	yes	maximal, characteristic, complemented
5	#10618667	C₂	1	1	yes	maximal, characteristic, complemented
6	D₄×Q₈×D₅	C₂	1	1	yes	maximal, characteristic, complemented
7	D₄×#713	C₂	1	1	yes	maximal, characteristic, complemented
8	D₅×#548	C₂	1	2	yes	maximal, complemented
9	#10618611	C₂	1	2	yes	maximal, complemented
10	D₅×#547	C₂	1	3	yes	maximal, complemented
11	#10618575	C₂	1	3	yes	maximal, complemented
12	D₅×#546	C₂	1	6	yes	maximal, complemented
13	#10618527	C₂	1	6	yes	maximal, complemented
14	D₄²×D₅	C₂	1	3	yes	maximal, complemented
15	D₄×#711	C₂	1	3	yes	maximal, complemented
16	#10618139	C₂	1	3	yes	maximal, complemented
17	D₅×#532	C₂	1	3	yes	maximal, complemented
18	#10617938	C₂	1	6	yes	maximal, complemented
19	D₅×#525	C₂	1	6	yes	maximal, complemented
20	#41×D₂₀	C₂	1	1	yes	maximal, characteristic, complemented
21	C₄×D₅×#41	C₂	1	1	yes	maximal, characteristic, complemented
22	D₄×#709	C₂	1	3	yes	maximal, complemented
23	C₂×C₄×D₄×D₅	C₂	1	3	yes	maximal, complemented
24	C₂²×C₅×#41	C₂²	1	2	yes	complemented
25	C₂×D₅×#41	—	2	32	no	—
26	C₂×D₅×#41	C₂²	1	1	yes	characteristic
27	C₂×D₅×#41	C₂²	1	2	yes	complemented
28	C₂×D₅×#41	C₂²	1	6	yes	complemented
29	C₂×D₅×#41	C₂²	1	6	yes	complemented
30	C₂×D₅×#41	C₂²	1	6	yes	complemented
31	C₂×D₅×#41	C₂²	1	6	yes	complemented
32	C₂×D₅×#41	C₂²	1	2	yes	complemented
33	C₂×D₅×#41	C₂²	1	2	yes	complemented
34	C₂²×#713	C₂²	1	2	yes	complemented
35	C₂²×Q₈×D₅	C₂²	1	2	yes	complemented
36	C₂²×#711	C₂²	1	6	yes	complemented
37	C₂²×D₄×D₅	C₂²	1	3	yes	—
38	C₂²×D₄×D₅	C₂²	1	6	yes	complemented
39	C₂²×#709	C₂²	1	6	yes	complemented
40	C₂³×C₄×D₅	C₂²	1	6	yes	complemented
41	C₅×#550	C₂²	1	1	yes	characteristic, complemented
42	C₅×D₄×Q₈	C₂²	1	1	yes	characteristic, complemented
43	C₅×#548	C₂²	1	2	yes	complemented
44	C₅×#547	C₂²	1	3	yes	complemented
45	C₅×#546	C₂²	1	6	yes	complemented
46	C₅×D₄²	C₂²	1	3	yes	complemented
47	C₅×#532	C₂²	1	3	yes	complemented
48	C₅×#525	C₂²	1	6	yes	complemented
49	C₄×C₅×#41	C₂²	1	1	yes	characteristic, complemented
50	C₂×C₄×C₅×D₄	C₂²	1	3	yes	complemented
51	#66168	C₂²	1	2	yes	complemented
52	#66166	C₂²	1	6	yes	complemented
53	#66165	C₂²	1	2	yes	complemented
54	#66163	C₂²	1	6	yes	complemented
55	#66162	C₂²	1	6	yes	complemented
56	#41×Dic₅	C₂²	1	1	yes	characteristic, complemented
57	#66158	C₂²	1	6	yes	complemented
58	#66151	C₂²	1	2	yes	complemented
59	Q₈×C₂²⋊D₅	C₂²	1	2	yes	complemented
60	#66140	C₂²	1	6	yes	complemented
61	D₄×C₂²⋊D₅	C₂²	1	6	yes	complemented
62	D₄×C₂²⋊D₅	C₂²	1	6	yes	complemented
63	C₂×D₄×Dic₅	C₂²	1	3	yes	complemented
64	#66125	C₂²	1	6	yes	complemented
65	C₂×C₄×C₂²⋊D₅	C₂²	1	6	yes	complemented
66	#66061	C₂²	1	3	yes	complemented
67	#66060	C₂²	1	3	yes	complemented
68	#66059	C₂²	1	3	yes	complemented
69	D₅×C₄⋊Q₈	C₂²	1	3	yes	complemented
70	#66052	C₂²	1	3	yes	complemented
71	#66051	C₂²	1	3	yes	complemented
72	#66050	C₂²	1	3	yes	complemented
73	D₅×#127	C₂²	1	3	yes	complemented
74	#66011	C₂²	1	6	yes	complemented
75	#66010	C₂²	1	6	yes	complemented
76	D₅×#124	C₂²	1	6	yes	complemented
77	#66002	C₂²	1	6	yes	complemented
78	#65990	C₂²	1	12	yes	complemented
79	#65989	C₂²	1	12	yes	complemented
80	#65988	C₂²	1	12	yes	complemented
81	D₅×#123	C₂²	1	12	yes	complemented
82	#65967	C₂²	1	6	yes	complemented
83	#65966	C₂²	1	6	yes	complemented
84	#65965	C₂²	1	6	yes	complemented
85	#65964	C₂²	1	6	yes	complemented
86	#65961	C₂²	1	6	yes	complemented
87	#65961	C₂²	1	6	yes	complemented
88	D₅×C₂²⋊Q₈	C₂²	1	6	yes	complemented
89	D₅×C₂²⋊Q₈	C₂²	1	6	yes	complemented
90	#65946	C₂²	1	6	yes	complemented
91	#65945	C₂²	1	6	yes	complemented
92	#65944	C₂²	1	12	yes	complemented
93	#65943	C₂²	1	6	yes	complemented
94	#65943	C₂²	1	6	yes	complemented
95	#65940	C₂²	1	6	yes	complemented
96	#65940	C₂²	1	6	yes	complemented
97	D₅×#121	C₂²	1	6	yes	complemented
98	D₅×#121	C₂²	1	6	yes	complemented
99	D₅×#121	C₂²	1	6	yes	complemented
100	D₅×#121	C₂²	1	6	yes	complemented
101	#65933	C₂²	1	6	yes	complemented
102	#65932	C₂²	1	6	yes	complemented
103	#65930	C₂²	1	6	yes	complemented
104	#65930	C₂²	1	6	yes	complemented
105	#65925	C₂²	1	12	yes	complemented
106	#65924	C₂²	1	12	yes	complemented
107	D₅×#120	C₂²	1	12	yes	complemented
108	#65920	C₂²	1	12	yes	complemented
109	#65911	C₂²	1	1	yes	characteristic, complemented
110	#65910	C₂²	1	2	yes	complemented
111	Q₈×D₂₀	C₂²	1	1	yes	characteristic, complemented
112	C₄×#713	C₂²	1	1	yes	characteristic, complemented
113	C₄×#713	C₂²	1	1	yes	characteristic, complemented
114	C₄×Q₈×D₅	C₂²	1	1	yes	characteristic, complemented
115	C₄×Q₈×D₅	C₂²	1	1	yes	characteristic, complemented
116	#65889	C₂²	1	3	yes	complemented
117	#65888	C₂²	1	6	yes	complemented
118	#65887	C₂²	1	3	yes	complemented
119	#65886	C₂²	1	6	yes	complemented
120	#65885	C₂²	1	3	yes	complemented
121	#65884	C₂²	1	6	yes	complemented
122	D₄×D₂₀	C₂²	1	3	yes	complemented
123	D₄×D₂₀	C₂²	1	3	yes	complemented
124	#65882	C₂²	1	6	yes	complemented
125	#65882	C₂²	1	6	yes	complemented
126	#65881	C₂²	1	12	yes	complemented
127	#65881	C₂²	1	12	yes	complemented
128	C₄×D₄×D₅	C₂²	1	3	yes	—
129	C₄×D₄×D₅	C₂²	1	1	yes	characteristic
130	C₄×D₄×D₅	C₂²	1	3	yes	complemented
131	C₄×D₄×D₅	C₂²	1	3	yes	complemented
132	C₄×D₄×D₅	C₂²	1	6	yes	complemented
133	C₄×D₄×D₅	C₂²	1	3	yes	complemented
134	C₄×D₄×D₅	C₂²	1	6	yes	complemented
135	C₄×D₄×D₅	C₂²	1	3	yes	complemented
136	C₄×D₄×D₅	C₂²	1	6	yes	complemented
137	C₄×D₄×D₅	C₂²	1	3	yes	complemented
138	C₄×D₄×D₅	C₂²	1	3	yes	complemented
139	C₄×D₄×D₅	C₂²	1	3	yes	complemented
140	C₄×D₄×D₅	C₂²	1	3	yes	complemented
141	C₄×D₄×D₅	C₂²	1	6	yes	complemented
142	C₄×D₄×D₅	C₂²	1	6	yes	complemented
143	D₄×Dic₁₀	C₂²	1	3	yes	complemented
144	C₄×#711	C₂²	1	3	yes	complemented
145	C₄×#711	C₂²	1	3	yes	complemented
146	#65858	C₂²	1	6	yes	complemented
147	#65856	C₂²	1	3	yes	complemented
148	D₅×#117	C₂²	1	3	yes	complemented
149	#65841	C₂²	1	6	yes	complemented
150	C₂×#4039	C₂²	1	3	yes	complemented
151	C₂×D₅×C₄⋊C₄	C₂²	1	3	yes	complemented
152	#65824	C₂²	1	12	yes	complemented
153	C₂×#4027	C₂²	1	6	yes	complemented
154	C₂×D₅×C₂²⋊C₄	C₂²	1	6	yes	complemented
155	#65811	C₂²	1	3	yes	complemented
156	C₄×#709	C₂²	1	3	yes	complemented
157	C₂×C₄×D₂₀	C₂²	1	3	yes	complemented
158	C₂×C₄²×D₅	C₂²	1	3	yes	complemented
159	C₂×D₄×#41	—	5	1	no	maximal, Sylow
160	C₂⁴×D₅	C₂³	1	6	yes	—
161	C₂×C₅×#41	—	2	16	no	—
162	C₂×C₅×#41	C₂³	1	1	yes	characteristic
163	C₂×C₅×#41	C₂³	1	6	yes	complemented
164	C₂×C₅×#41	C₂³	1	6	yes	complemented
165	C₂×C₅×#41	C₂³	1	2	yes	complemented
166	C₂²×C₅×Q₈	C₂³	1	2	yes	complemented
167	C₂²×C₅×D₄	C₂³	1	3	yes	—
168	C₂²×C₅×D₄	C₂³	1	6	yes	complemented
169	C₂³×C₄×C₅	C₂³	1	6	yes	complemented
170	C₂²×C₂²⋊D₅	C₂³	1	6	yes	—
171	C₂²×C₂²⋊D₅	C₂³	1	12	yes	complemented
172	C₂³×Dic₅	C₂³	1	6	yes	complemented
173	D₅×#41	—	2	16	no	—
174	D₅×#41	—	2	16	no	—
175	D₅×#41	—	2	16	no	—
176	D₅×#41	—	2	48	no	—
177	D₅×#41	—	2	48	no	—
178	D₅×#41	—	2	48	no	—
179	D₅×#41	—	2	48	no	—
180	D₅×#41	D₄	1	16	yes	direct product factor
181	C₂×#713	—	2	16	no	—
182	C₂×#713	C₂³	1	1	yes	characteristic
183	C₂×#713	C₂³	1	6	yes	complemented
184	C₂×#713	C₂³	1	6	yes	complemented
185	C₂×#713	C₂³	1	2	yes	complemented
186	C₂×Q₈×D₅	—	2	16	no	—
187	C₂×Q₈×D₅	C₂³	1	6	yes	—
188	C₂×Q₈×D₅	C₂³	1	1	yes	characteristic
189	C₂×Q₈×D₅	C₂³	1	6	yes	complemented
190	C₂×Q₈×D₅	C₂³	1	2	yes	complemented
191	C₂×#711	—	2	48	no	—
192	C₂×#711	C₂³	1	3	yes	—
193	C₂×#711	C₂³	1	6	yes	complemented
194	C₂×#711	C₂³	1	6	yes	complemented
195	C₂×#711	C₂³	1	6	yes	complemented
196	C₂×#711	C₂³	1	12	yes	complemented
197	C₂×#711	C₂³	1	12	yes	complemented
198	C₂×D₄×D₅	—	2	48	no	—
199	C₂×D₄×D₅	—	2	24	no	—
200	C₂×D₄×D₅	C₂³	1	3	yes	—
201	C₂×D₄×D₅	C₂³	1	6	yes	—
202	C₂×D₄×D₅	C₂³	1	3	yes	—
203	C₂×D₄×D₅	C₂³	1	3	yes	—
204	C₂×D₄×D₅	C₂³	1	6	yes	—
205	C₂×D₄×D₅	C₂³	1	6	yes	—
206	C₂×D₄×D₅	C₂³	1	12	yes	—
207	C₂×D₄×D₅	C₂³	1	6	yes	—
208	C₂×D₄×D₅	C₂³	1	3	yes	—
209	C₂×D₄×D₅	C₂³	1	1	yes	characteristic
210	C₂×D₄×D₅	C₂³	1	6	yes	complemented
211	C₂×D₄×D₅	C₂³	1	6	yes	complemented
212	C₂×D₄×D₅	C₂³	1	12	yes	complemented
213	C₂×#709	—	2	48	no	—
214	C₂×#709	C₂³	1	3	yes	—
215	C₂×#709	C₂³	1	6	yes	complemented
216	C₂×#709	C₂³	1	12	yes	complemented
217	C₂×#709	C₂³	1	12	yes	complemented
218	C₂×#709	C₂³	1	6	yes	complemented
219	C₂×#709	C₂³	1	6	yes	complemented
220	C₂²×D₂₀	C₂³	1	3	yes	—
221	C₂²×D₂₀	C₂³	1	6	yes	complemented
222	C₂²×C₄×D₅	—	2	48	no	—
223	C₂²×C₄×D₅	C₂³	1	3	yes	—
224	C₂²×C₄×D₅	C₂³	1	6	yes	—
225	C₂²×C₄×D₅	C₂³	1	2	yes	—
226	C₂²×C₄×D₅	C₂³	1	6	yes	—
227	C₂²×C₄×D₅	C₂³	1	6	yes	—
228	C₂²×C₄×D₅	C₂³	1	6	yes	—
229	C₂²×C₄×D₅	C₂³	1	3	yes	—
230	C₂²×C₄×D₅	C₂³	1	3	yes	—
231	C₂²×C₄×D₅	C₂³	1	6	yes	complemented
232	C₂²×C₄×D₅	C₂³	1	6	yes	complemented
233	C₂²×C₄×D₅	C₂³	1	6	yes	complemented
234	C₂²×C₄×D₅	C₂³	1	6	yes	complemented
235	C₂²×C₄×D₅	C₂³	1	6	yes	complemented
236	C₂²×C₄×D₅	C₂³	1	6	yes	complemented
237	C₂²×Dic₁₀	C₂³	1	6	yes	complemented
238	C₅×C₄⋊Q₈	C₂³	1	3	yes	complemented
239	C₅×#127	C₂³	1	3	yes	complemented
240	C₅×#124	C₂³	1	6	yes	complemented
241	C₅×#123	C₂³	1	12	yes	complemented
242	C₅×C₂²⋊Q₈	C₂³	1	6	yes	complemented
243	C₅×C₂²⋊Q₈	C₂³	1	6	yes	complemented
244	C₅×#121	C₂³	1	6	yes	complemented
245	C₅×#121	C₂³	1	6	yes	complemented
246	C₅×#121	C₂³	1	6	yes	complemented
247	C₅×#121	C₂³	1	6	yes	complemented
248	C₅×#120	C₂³	1	12	yes	complemented
249	C₄×C₅×Q₈	C₂³	1	1	yes	characteristic, complemented
250	C₄×C₅×Q₈	C₂³	1	1	yes	characteristic, complemented
251	C₄×C₅×D₄	C₂³	1	3	yes	—
252	C₄×C₅×D₄	C₂³	1	1	yes	characteristic
253	C₄×C₅×D₄	C₂³	1	3	yes	complemented
254	C₄×C₅×D₄	C₂³	1	3	yes	complemented
255	C₄×C₅×D₄	C₂³	1	6	yes	complemented
256	C₄×C₅×D₄	C₂³	1	3	yes	complemented
257	C₄×C₅×D₄	C₂³	1	6	yes	complemented
258	C₄×C₅×D₄	C₂³	1	3	yes	complemented
259	C₄×C₅×D₄	C₂³	1	6	yes	complemented
260	C₅×#117	C₂³	1	3	yes	complemented
261	C₂×C₅×C₄⋊C₄	C₂³	1	3	yes	complemented
262	C₂×C₅×C₂²⋊C₄	C₂³	1	6	yes	complemented
263	C₂×C₄²×C₅	C₂³	1	3	yes	complemented
264	#4099	C₂³	1	12	yes	complemented
265	C₂×C₂²⋊Dic₅	C₂³	1	6	yes	complemented
266	#4093	C₂³	1	6	yes	complemented
267	#4092	C₂³	1	6	yes	complemented
268	#4092	C₂³	1	6	yes	complemented
269	Q₈×Dic₅	C₂³	1	1	yes	characteristic, complemented
270	Q₈×Dic₅	C₂³	1	1	yes	characteristic, complemented
271	#4090	C₂³	1	6	yes	complemented
272	#4086	C₂³	1	6	yes	complemented
273	#4086	C₂³	1	6	yes	complemented
274	#4086	C₂³	1	6	yes	complemented
275	#4085	C₂³	1	12	yes	complemented
276	#4085	C₂³	1	12	yes	complemented
277	#4085	C₂³	1	12	yes	complemented
278	#4085	C₂³	1	12	yes	complemented
279	#4084	C₂³	1	6	yes	complemented
280	#4084	C₂³	1	6	yes	complemented
281	#4084	C₂³	1	6	yes	complemented
282	#4084	C₂³	1	6	yes	complemented
283	#4083	C₂³	1	12	yes	complemented
284	#4083	C₂³	1	12	yes	complemented
285	#4083	C₂³	1	12	yes	complemented
286	#4082	C₂³	1	6	yes	complemented
287	#4081	C₂³	1	12	yes	complemented
288	D₄×Dic₅	C₂³	1	3	yes	—
289	D₄×Dic₅	C₂³	1	1	yes	characteristic
290	D₄×Dic₅	C₂³	1	3	yes	complemented
291	D₄×Dic₅	C₂³	1	6	yes	complemented
292	D₄×Dic₅	C₂³	1	3	yes	complemented
293	D₄×Dic₅	C₂³	1	3	yes	complemented
294	D₄×Dic₅	C₂³	1	3	yes	complemented
295	D₄×Dic₅	C₂³	1	6	yes	complemented
296	D₄×Dic₅	C₂³	1	6	yes	complemented
297	#4076	C₂³	1	6	yes	complemented
298	#4076	C₂³	1	6	yes	complemented
299	#4076	C₂³	1	6	yes	complemented
300	#4076	C₂³	1	6	yes	complemented
301	#4075	C₂³	1	12	yes	complemented
302	C₄×C₂²⋊D₅	C₂³	1	2	yes	—
303	C₄×C₂²⋊D₅	C₂³	1	6	yes	—
304	C₄×C₂²⋊D₅	C₂³	1	6	yes	complemented
305	C₄×C₂²⋊D₅	C₂³	1	6	yes	complemented
306	C₄×C₂²⋊D₅	C₂³	1	6	yes	complemented
307	C₄×C₂²⋊D₅	C₂³	1	6	yes	complemented
308	C₄×C₂²⋊D₅	C₂³	1	6	yes	complemented
309	C₄×C₂²⋊D₅	C₂³	1	6	yes	complemented
310	C₄×C₂²⋊D₅	C₂³	1	6	yes	complemented
311	C₄×C₂²⋊D₅	C₂³	1	6	yes	complemented
312	C₄×C₂²⋊D₅	C₂³	1	12	yes	complemented
313	C₂×#685	C₂³	1	6	yes	complemented
314	C₂×#685	C₂³	1	6	yes	complemented
315	#4072	C₂³	1	3	yes	complemented
316	C₂×C₄⋊Dic₅	C₂³	1	3	yes	complemented
317	#4070	C₂³	1	6	yes	complemented
318	#4070	C₂³	1	6	yes	complemented
319	C₂×#683	C₂³	1	6	yes	complemented
320	C₂×C₄×Dic₅	C₂³	1	3	yes	complemented
321	C₂×C₄×Dic₅	C₂³	1	3	yes	complemented
322	C₂×C₄×Dic₅	C₂³	1	3	yes	complemented
323	#4043	C₂³	1	6	yes	complemented
324	#4043	C₂³	1	6	yes	complemented
325	#4042	C₂³	1	12	yes	complemented
326	#4042	C₂³	1	12	yes	complemented
327	#4041	C₂³	1	6	yes	complemented
328	#4041	C₂³	1	6	yes	complemented
329	#4041	C₂³	1	6	yes	complemented
330	#4041	C₂³	1	6	yes	complemented
331	#4040	C₂³	1	12	yes	complemented
332	#4040	C₂³	1	12	yes	complemented
333	#4039	C₂³	1	3	yes	—
334	#4039	C₂³	1	1	yes	characteristic
335	#4039	C₂³	1	3	yes	complemented
336	#4039	C₂³	1	6	yes	complemented
337	#4039	C₂³	1	3	yes	complemented
338	#4039	C₂³	1	6	yes	complemented
339	#4039	C₂³	1	6	yes	complemented
340	#4039	C₂³	1	3	yes	complemented
341	#4039	C₂³	1	3	yes	complemented
342	#4038	C₂³	1	3	yes	complemented
343	#4038	C₂³	1	3	yes	complemented
344	D₅×C₄⋊C₄	C₂³	1	3	yes	—
345	D₅×C₄⋊C₄	C₂³	1	6	yes	—
346	D₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
347	D₅×C₄⋊C₄	C₂³	1	6	yes	—
348	D₅×C₄⋊C₄	C₂³	1	3	yes	—
349	D₅×C₄⋊C₄	C₂³	1	3	yes	—
350	D₅×C₄⋊C₄	C₂³	1	3	yes	complemented
351	D₅×C₄⋊C₄	C₂³	1	3	yes	complemented
352	D₅×C₄⋊C₄	C₂³	1	6	yes	complemented
353	#4034	C₂³	1	6	yes	complemented
354	#4034	C₂³	1	6	yes	complemented
355	#4033	C₂³	1	3	yes	complemented
356	#4033	C₂³	1	3	yes	complemented
357	#4032	C₂³	1	12	yes	complemented
358	#4031	C₂³	1	12	yes	complemented
359	#4031	C₂³	1	12	yes	complemented
360	#4030	C₂³	1	12	yes	complemented
361	#4030	C₂³	1	12	yes	complemented
362	#4030	C₂³	1	12	yes	complemented
363	#4030	C₂³	1	12	yes	complemented
364	#4029	C₂³	1	12	yes	complemented
365	#4029	C₂³	1	12	yes	complemented
366	#4028	C₂³	1	12	yes	complemented
367	#4028	C₂³	1	12	yes	complemented
368	#4028	C₂³	1	12	yes	complemented
369	#4027	C₂³	1	2	yes	—
370	#4027	C₂³	1	6	yes	—
371	#4027	C₂³	1	6	yes	complemented
372	#4027	C₂³	1	6	yes	complemented
373	#4027	C₂³	1	6	yes	complemented
374	#4027	C₂³	1	6	yes	complemented
375	#4027	C₂³	1	6	yes	complemented
376	#4027	C₂³	1	6	yes	complemented
377	#4027	C₂³	1	6	yes	complemented
378	#4027	C₂³	1	6	yes	complemented
379	#4027	C₂³	1	12	yes	complemented
380	D₅×C₂²⋊C₄	C₂³	1	2	yes	—
381	D₅×C₂²⋊C₄	C₂³	1	6	yes	—
382	D₅×C₂²⋊C₄	C₂³	1	6	yes	—
383	D₅×C₂²⋊C₄	C₂³	1	6	yes	—
384	D₅×C₂²⋊C₄	C₂³	1	6	yes	—
385	D₅×C₂²⋊C₄	C₂³	1	12	yes	—
386	D₅×C₂²⋊C₄	C₂³	1	6	yes	complemented
387	D₅×C₂²⋊C₄	C₂³	1	6	yes	complemented
388	D₅×C₂²⋊C₄	C₂³	1	6	yes	complemented
389	D₅×C₂²⋊C₄	C₂³	1	6	yes	complemented
390	#4024	C₂³	1	12	yes	complemented
391	#4024	C₂³	1	12	yes	complemented
392	#4023	C₂³	1	6	yes	complemented
393	#4021	C₂³	1	6	yes	complemented
394	#4020	C₂³	1	3	yes	complemented
395	C₄×D₂₀	C₂³	1	3	yes	—
396	C₄×D₂₀	C₂³	1	1	yes	characteristic
397	C₄×D₂₀	C₂³	1	3	yes	complemented
398	C₄×D₂₀	C₂³	1	3	yes	complemented
399	C₄×D₂₀	C₂³	1	3	yes	complemented
400	C₄×D₂₀	C₂³	1	6	yes	complemented
401	C₄×D₂₀	C₂³	1	6	yes	complemented
402	C₄×D₂₀	C₂³	1	3	yes	complemented
403	C₄×D₂₀	C₂³	1	6	yes	complemented
404	#4018	C₂³	1	6	yes	complemented
405	C₄²×D₅	C₂³	1	3	yes	—
406	C₄²×D₅	C₂³	1	1	yes	characteristic
407	C₄²×D₅	C₂³	1	3	yes	—
408	C₄²×D₅	C₂³	1	3	yes	—
409	C₄²×D₅	C₂³	1	3	yes	complemented
410	C₄²×D₅	C₂³	1	3	yes	complemented
411	C₄²×D₅	C₂³	1	3	yes	complemented
412	C₄²×D₅	C₂³	1	3	yes	complemented
413	#4015	C₂³	1	3	yes	complemented
414	C₄×Dic₁₀	C₂³	1	3	yes	complemented
415	C₄×Dic₁₀	C₂³	1	3	yes	complemented
416	C₂³×#41	—	5	2	no	—
417	D₄×#41	—	5	2	no	—
418	D₄×#41	—	5	1	no	—
419	D₄×#41	—	5	1	no	—
420	D₄×#41	—	5	2	no	—
421	D₄×#41	—	5	3	no	—
422	D₄×#41	—	5	6	no	—
423	D₄×#41	—	5	3	no	—
424	D₄×#41	—	5	3	no	—
425	D₄×#41	—	5	6	no	—
426	D₄×#41	—	5	1	no	—
427	D₄×#41	—	5	3	no	—
428	D₄×#41	D₅	1	1	yes	characteristic, direct product factor
429	C₂×#550	—	5	1	no	—
430	C₂×D₄×Q₈	—	5	1	no	—
431	C₂×#548	—	5	2	no	—
432	C₂×#547	—	5	3	no	—
433	C₂×#546	—	5	6	no	—
434	C₂×D₄²	—	5	3	no	—
435	C₂×#532	—	5	3	no	—
436	C₂×#525	—	5	6	no	—
437	C₂×C₄×#41	—	5	1	no	—
438	C₂²×C₄×D₄	—	5	3	no	—
439	C₂⁴×C₅	C₂⁴	1	6	yes	—
440	C₂³×D₅	—	2	24	no	—
441	C₂³×D₅	—	2	24	no	—
442	C₂³×D₅	—	4	12	no	—
443	C₂³×D₅	C₂⁴	1	6	yes	—
444	C₂³×D₅	C₂⁴	1	6	yes	—
445	C₂³×D₅	C₂⁴	1	6	yes	—
446	C₂³×D₅	C₂⁴	1	6	yes	—
447	C₂³×D₅	C₂⁴	1	3	yes	—
448	C₂³×D₅	C₂⁴	1	2	yes	—
449	C₅×#41	—	2	8	no	—
450	C₅×#41	—	2	24	no	—
451	C₅×#41	—	2	24	no	—
452	C₅×#41	C₂×D₄	1	8	yes	complemented
453	C₂×C₅×Q₈	—	2	8	no	—
454	C₂×C₅×Q₈	C₂⁴	1	6	yes	—
455	C₂×C₅×Q₈	C₂⁴	1	1	yes	characteristic
456	C₂×C₅×D₄	—	2	24	no	—
457	C₂×C₅×D₄	—	2	12	no	—
458	C₂×C₅×D₄	C₂⁴	1	6	yes	—
459	C₂×C₅×D₄	C₂⁴	1	3	yes	—
460	C₂×C₅×D₄	C₂⁴	1	12	yes	—
461	C₂×C₅×D₄	C₂⁴	1	6	yes	—
462	C₂×C₅×D₄	C₂⁴	1	6	yes	—
463	C₂×C₅×D₄	C₂⁴	1	3	yes	—
464	C₂×C₅×D₄	C₂⁴	1	1	yes	characteristic
465	C₂²×C₄×C₅	—	2	24	no	—
466	C₂²×C₄×C₅	C₂⁴	1	3	yes	—
467	C₂²×C₄×C₅	C₂⁴	1	6	yes	—
468	C₂²×C₄×C₅	C₂⁴	1	2	yes	—
469	C₂²×C₄×C₅	C₂⁴	1	6	yes	—
470	C₂²×C₄×C₅	C₂⁴	1	6	yes	—
471	C₂²×C₄×C₅	C₂⁴	1	6	yes	—
472	C₂²×C₄×C₅	C₂⁴	1	3	yes	—
473	C₂²×C₄×C₅	C₂⁴	1	3	yes	—
474	C₂×C₂²⋊D₅	—	2	48	no	—
475	C₂×C₂²⋊D₅	—	2	24	no	—
476	C₂×C₂²⋊D₅	C₂⁴	1	6	yes	—
477	C₂×C₂²⋊D₅	C₂⁴	1	12	yes	—
478	C₂×C₂²⋊D₅	C₂⁴	1	12	yes	—
479	C₂×C₂²⋊D₅	C₂⁴	1	12	yes	—
480	C₂×C₂²⋊D₅	C₂⁴	1	6	yes	—
481	C₂×C₂²⋊D₅	C₂⁴	1	6	yes	—
482	C₂×C₂²⋊D₅	C₂⁴	1	12	yes	—
483	C₂×C₂²⋊D₅	C₂⁴	1	6	yes	—
484	C₂×C₂²⋊D₅	C₂⁴	1	2	yes	—
485	C₂²×Dic₅	—	2	24	no	—
486	C₂²×Dic₅	C₂⁴	1	6	yes	—
487	C₂²×Dic₅	C₂⁴	1	6	yes	—
488	C₂²×Dic₅	C₂⁴	1	2	yes	—
489	C₂²×Dic₅	C₂⁴	1	6	yes	—
490	C₂²×Dic₅	C₂⁴	1	6	yes	—
491	C₂²×Dic₅	C₂⁴	1	3	yes	—
492	C₂²×Dic₅	C₂⁴	1	3	yes	—
493	C₂²×Dic₅	C₂⁴	1	3	yes	—
494	#713	—	2	8	no	—
495	#713	—	2	24	no	—
496	#713	—	2	24	no	—
497	#713	C₂×D₄	1	8	yes	complemented
498	Q₈×D₅	—	2	8	no	—
499	Q₈×D₅	—	2	24	no	—
500	Q₈×D₅	—	2	24	no	—
501	Q₈×D₅	C₂×D₄	1	8	yes	complemented
502	#711	—	2	24	no	—
503	#711	—	2	48	no	—
504	#711	—	2	48	no	—
505	#711	—	2	24	no	—
506	#711	—	2	24	no	—
507	#711	C₂×D₄	1	24	yes	complemented
508	D₄×D₅	—	2	48	no	—
509	D₄×D₅	—	2	24	no	—
510	D₄×D₅	—	2	24	no	—
511	D₄×D₅	—	2	12	no	—
512	D₄×D₅	—	2	48	no	—
513	D₄×D₅	—	2	24	no	—
514	D₄×D₅	—	2	24	no	—
515	D₄×D₅	—	2	12	no	—
516	D₄×D₅	—	2	24	no	—
517	D₄×D₅	—	2	12	no	—
518	D₄×D₅	—	4	12	no	—
519	D₄×D₅	C₂×D₄	1	24	yes	complemented
520	D₄×D₅	#41	1	8	yes	direct product factor
521	#709	—	2	24	no	—
522	#709	—	2	48	no	—
523	#709	—	2	24	no	—
524	#709	—	2	48	no	—
525	#709	—	2	24	no	—
526	#709	C₂×D₄	1	24	yes	complemented
527	C₂×D₂₀	—	2	24	no	—
528	C₂×D₂₀	—	2	12	no	—
529	C₂×D₂₀	C₂⁴	1	3	yes	—
530	C₂×D₂₀	C₂⁴	1	6	yes	—
531	C₂×D₂₀	C₂⁴	1	6	yes	—
532	C₂×D₂₀	C₂⁴	1	12	yes	—
533	C₂×D₂₀	C₂⁴	1	6	yes	—
534	C₂×D₂₀	C₂⁴	1	3	yes	—
535	C₂×D₂₀	C₂⁴	1	1	yes	characteristic
536	C₂×C₄×D₅	—	2	24	no	—
537	C₂×C₄×D₅	—	2	24	no	—
538	C₂×C₄×D₅	—	2	24	no	—
539	C₂×C₄×D₅	—	2	8	no	—
540	C₂×C₄×D₅	—	2	24	no	—
541	C₂×C₄×D₅	—	2	24	no	—
542	C₂×C₄×D₅	—	2	24	no	—
543	C₂×C₄×D₅	—	2	24	no	—
544	C₂×C₄×D₅	—	2	24	no	—
545	C₂×C₄×D₅	—	2	24	no	—
546	C₂×C₄×D₅	—	2	24	no	—
547	C₂×C₄×D₅	—	2	12	no	—
548	C₂×C₄×D₅	—	4	6	no	—
549	C₂×C₄×D₅	C₂×D₄	1	24	yes	complemented
550	C₂×C₄×D₅	C₂⁴	1	2	yes	—
551	C₂×C₄×D₅	C₂⁴	1	6	yes	—
552	C₂×C₄×D₅	C₂⁴	1	1	yes	characteristic
553	C₂×C₄×D₅	C₂⁴	1	2	yes	—
554	C₂×C₄×D₅	C₂⁴	1	2	yes	—
555	C₂×C₄×D₅	C₂⁴	1	6	yes	—
556	C₂×C₄×D₅	C₂⁴	1	6	yes	—
557	C₂×C₄×D₅	C₂⁴	1	6	yes	—
558	C₂×C₄×D₅	C₂⁴	1	6	yes	—
559	C₂×C₄×D₅	C₂⁴	1	6	yes	—
560	C₂×C₄×D₅	C₂⁴	1	6	yes	—
561	C₂×C₄×D₅	C₂⁴	1	6	yes	—
562	C₂×C₄×D₅	C₂⁴	1	6	yes	—
563	C₂×C₄×D₅	C₂⁴	1	3	yes	—
564	C₂×C₄×D₅	C₂⁴	1	3	yes	—
565	C₂×C₄×D₅	C₂⁴	1	3	yes	—
566	C₂×C₄×D₅	C₂⁴	1	3	yes	—
567	C₂×C₄×D₅	C₂⁴	1	3	yes	—
568	C₂×C₄×D₅	C₂⁴	1	3	yes	—
569	C₂×C₄×D₅	C₂⁴	1	1	yes	characteristic
570	C₂×C₄×D₅	C₂⁴	1	3	yes	—
571	C₂×C₄×D₅	C₂⁴	1	3	yes	—
572	C₂×C₄×D₅	C₂⁴	1	3	yes	—
573	C₂×C₄×D₅	C₂⁴	1	1	yes	characteristic
574	C₂×Dic₁₀	—	2	24	no	—
575	C₂×Dic₁₀	C₂⁴	1	6	yes	—
576	C₂×Dic₁₀	C₂⁴	1	12	yes	—
577	C₂×Dic₁₀	C₂⁴	1	3	yes	—
578	C₅×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
579	C₅×C₄⋊C₄	C₂⁴	1	3	yes	—
580	C₅×C₄⋊C₄	C₂⁴	1	6	yes	—
581	C₅×C₄⋊C₄	C₂⁴	1	3	yes	—
582	C₅×C₄⋊C₄	C₂⁴	1	3	yes	—
583	C₅×C₄⋊C₄	C₂⁴	1	6	yes	—
584	C₅×C₂²⋊C₄	C₂⁴	1	2	yes	—
585	C₅×C₂²⋊C₄	C₂⁴	1	6	yes	—
586	C₅×C₂²⋊C₄	C₂⁴	1	6	yes	—
587	C₅×C₂²⋊C₄	C₂⁴	1	6	yes	—
588	C₅×C₂²⋊C₄	C₂⁴	1	6	yes	—
589	C₅×C₂²⋊C₄	C₂⁴	1	12	yes	—
590	C₄²×C₅	C₂⁴	1	1	yes	characteristic
591	C₄²×C₅	C₂⁴	1	3	yes	—
592	C₄²×C₅	C₂⁴	1	3	yes	—
593	C₄²×C₅	C₂⁴	1	3	yes	—
594	C₂²⋊Dic₅	C₂⁴	1	2	yes	—
595	C₂²⋊Dic₅	C₂⁴	1	6	yes	—
596	C₂²⋊Dic₅	C₂⁴	1	6	yes	—
597	C₂²⋊Dic₅	C₂⁴	1	6	yes	—
598	C₂²⋊Dic₅	C₂⁴	1	6	yes	—
599	C₂²⋊Dic₅	C₂⁴	1	12	yes	—
600	#685	C₂⁴	1	6	yes	—
601	#685	C₂⁴	1	6	yes	—
602	#685	C₂⁴	1	2	yes	—
603	#685	C₂⁴	1	6	yes	—
604	#685	C₂⁴	1	6	yes	—
605	#685	C₂⁴	1	6	yes	—
606	#685	C₂⁴	1	12	yes	—
607	#685	C₂⁴	1	2	yes	—
608	#685	C₂⁴	1	6	yes	—
609	#685	C₂⁴	1	6	yes	—
610	#685	C₂⁴	1	6	yes	—
611	#685	C₂⁴	1	12	yes	—
612	C₄⋊Dic₅	C₂⁴	1	3	yes	—
613	C₄⋊Dic₅	C₂⁴	1	3	yes	—
614	C₄⋊Dic₅	C₂⁴	1	3	yes	—
615	C₄⋊Dic₅	C₂⁴	1	6	yes	—
616	C₄⋊Dic₅	C₂⁴	1	1	yes	characteristic
617	C₄⋊Dic₅	C₂⁴	1	6	yes	—
618	#683	C₂⁴	1	6	yes	—
619	#683	C₂⁴	1	6	yes	—
620	#683	C₂⁴	1	6	yes	—
621	#683	C₂⁴	1	12	yes	—
622	#683	C₂⁴	1	2	yes	—
623	#683	C₂⁴	1	6	yes	—
624	#683	C₂⁴	1	6	yes	—
625	C₄×Dic₅	C₂⁴	1	3	yes	—
626	C₄×Dic₅	C₂⁴	1	3	yes	—
627	C₄×Dic₅	C₂⁴	1	1	yes	characteristic
628	C₄×Dic₅	C₂⁴	1	1	yes	characteristic
629	C₄×Dic₅	C₂⁴	1	1	yes	characteristic
630	C₄×Dic₅	C₂⁴	1	3	yes	—
631	C₄×Dic₅	C₂⁴	1	3	yes	—
632	C₄×Dic₅	C₂⁴	1	3	yes	—
633	C₄×Dic₅	C₂⁴	1	3	yes	—
634	C₄×Dic₅	C₂⁴	1	3	yes	—
635	C₄×Dic₅	C₂⁴	1	3	yes	—
636	C₄×Dic₅	C₂⁴	1	3	yes	—
637	C₂²×#41	—	5	1	no	—
638	C₂²×#41	—	5	2	no	—
639	C₂²×#41	—	5	6	no	—
640	C₂²×#41	—	5	6	no	—
641	C₂²×#41	—	5	2	no	—
642	C₂²×#41	—	5	2	no	—
643	C₂²×#41	—	5	6	no	—
644	C₂²×#41	—	5	6	no	—
645	C₂²×#41	—	5	2	no	—
646	C₂²×#41	—	5	6	no	—
647	C₂²×#41	—	5	6	no	—
648	C₂²×#41	—	10	32	no	—
649	C₂²×#41	C₂×D₅	1	2	yes	complemented
650	C₂³×Q₈	—	5	2	no	—
651	C₂³×D₄	—	5	3	no	—
652	C₂³×D₄	—	5	6	no	—
653	C₂⁴×C₄	—	5	6	no	—
654	#550	—	5	2	no	—
655	#550	—	5	3	no	—
656	#550	—	5	6	no	—
657	#550	—	5	1	no	—
658	#550	—	5	3	no	—
659	#550	C₂×D₅	1	1	yes	characteristic, complemented
660	D₄×Q₈	—	5	2	no	—
661	D₄×Q₈	—	5	3	no	—
662	D₄×Q₈	—	5	6	no	—
663	D₄×Q₈	—	5	1	no	—
664	D₄×Q₈	—	5	3	no	—
665	D₄×Q₈	C₂×D₅	1	1	yes	characteristic, complemented
666	#548	—	5	2	no	—
667	#548	—	5	2	no	—
668	#548	—	5	6	no	—
669	#548	—	5	6	no	—
670	#548	—	5	6	no	—
671	#548	—	5	2	no	—
672	#548	—	5	6	no	—
673	#548	C₂×D₅	1	2	yes	complemented
674	#547	—	5	6	no	—
675	#547	—	5	3	no	—
676	#547	—	5	12	no	—
677	#547	—	5	6	no	—
678	#547	—	5	6	no	—
679	#547	—	5	3	no	—
680	#547	—	5	3	no	—
681	#547	—	5	6	no	—
682	#547	C₂×D₅	1	3	yes	complemented
683	#546	—	5	6	no	—
684	#546	—	5	6	no	—
685	#546	—	5	6	no	—
686	#546	—	5	12	no	—
687	#546	—	5	6	no	—
688	#546	—	5	12	no	—
689	#546	—	5	6	no	—
690	#546	—	5	12	no	—
691	#546	—	5	6	no	—
692	#546	—	5	6	no	—
693	#546	—	5	12	no	—
694	#546	C₂×D₅	1	6	yes	complemented
695	D₄²	—	5	6	no	—
696	D₄²	—	5	6	no	—
697	D₄²	—	5	3	no	—
698	D₄²	—	5	6	no	—
699	D₄²	—	5	6	no	—
700	D₄²	—	5	12	no	—
701	D₄²	—	5	3	no	—
702	D₄²	—	5	3	no	—
703	D₄²	C₂×D₅	1	3	yes	complemented
704	#532	—	5	6	no	—
705	#532	—	5	3	no	—
706	#532	—	5	3	no	—
707	#532	—	5	6	no	—
708	#532	—	5	6	no	—
709	#532	—	5	6	no	—
710	#532	—	5	6	no	—
711	#532	—	5	6	no	—
712	#532	—	5	3	no	—
713	#532	C₂×D₅	1	3	yes	complemented
714	C₂×C₄⋊Q₈	—	5	3	no	—
715	C₂×#127	—	5	3	no	—
716	C₂×#124	—	5	6	no	—
717	#525	—	5	6	no	—
718	#525	—	5	6	no	—
719	#525	—	5	12	no	—
720	#525	—	5	6	no	—
721	#525	—	5	6	no	—
722	#525	—	5	6	no	—
723	#525	—	5	6	no	—
724	#525	—	5	12	no	—
725	#525	—	5	12	no	—
726	#525	—	5	12	no	—
727	#525	—	5	6	no	—
728	#525	C₂×D₅	1	6	yes	complemented
729	C₂×#123	—	5	12	no	—
730	C₂×C₂²⋊Q₈	—	5	6	no	—
731	C₂×C₂²⋊Q₈	—	5	6	no	—
732	C₂×#121	—	5	6	no	—
733	C₂×#121	—	5	6	no	—
734	C₂×#121	—	5	6	no	—
735	C₂×#121	—	5	6	no	—
736	C₂×#120	—	5	12	no	—
737	C₄×#41	—	5	1	no	—
738	C₄×#41	—	5	1	no	—
739	C₄×#41	—	5	1	no	—
740	C₄×#41	—	5	3	no	—
741	C₄×#41	—	5	3	no	—
742	C₄×#41	—	5	3	no	—
743	C₄×#41	—	5	3	no	—
744	C₄×#41	C₂×D₅	1	1	yes	characteristic, complemented
745	C₂×C₄×Q₈	—	5	1	no	—
746	C₂×C₄×Q₈	—	5	1	no	—
747	C₂×C₄×D₄	—	5	3	no	—
748	C₂×C₄×D₄	—	5	6	no	—
749	C₂×C₄×D₄	—	5	1	no	—
750	C₂×C₄×D₄	—	5	3	no	—
751	C₂×C₄×D₄	—	5	3	no	—
752	C₂×C₄×D₄	—	5	3	no	—
753	C₂×C₄×D₄	—	5	6	no	—
754	C₂×C₄×D₄	—	5	3	no	—
755	C₂×C₄×D₄	—	5	6	no	—
756	C₂×C₄×D₄	—	5	3	no	—
757	C₂×C₄×D₄	—	5	6	no	—
758	C₂×C₄×D₄	—	5	3	no	—
759	C₂×C₄×D₄	—	5	6	no	—
760	C₂×C₄×D₄	—	5	3	no	—
761	C₂×C₄×D₄	—	5	3	no	—
762	C₂×C₄×D₄	—	5	3	no	—
763	C₂×C₄×D₄	—	5	6	no	—
764	C₂×C₄×D₄	—	5	3	no	—
765	C₂×C₄×D₄	—	5	6	no	—
766	C₂×C₄×D₄	—	5	3	no	—
767	C₂×C₄×D₄	C₂×D₅	1	3	yes	complemented
768	C₂×#117	—	5	3	no	—
769	C₂²×C₄⋊C₄	—	5	3	no	—
770	C₂²×C₂²⋊C₄	—	5	6	no	—
771	C₂²×C₄²	—	5	3	no	—
772	C₂³×C₅	—	2	12	no	—
773	C₂³×C₅	—	2	12	no	—
774	C₂³×C₅	—	4	6	no	—
775	C₂³×C₅	C₂⁵	1	6	yes	—
776	C₂³×C₅	C₂⁵	1	3	yes	—
777	C₂³×C₅	C₂⁵	1	2	yes	—
778	C₂²×D₅	—	2	4	no	—
779	C₂²×D₅	—	2	6	no	—
780	C₂²×D₅	—	2	6	no	—
781	C₂²×D₅	—	2	4	no	—
782	C₂²×D₅	—	2	12	no	—
783	C₂²×D₅	—	2	12	no	—
784	C₂²×D₅	—	2	12	no	—
785	C₂²×D₅	—	2	12	no	—
786	C₂²×D₅	—	2	12	no	—
787	C₂²×D₅	—	2	12	no	—
788	C₂²×D₅	—	2	12	no	—
789	C₂²×D₅	—	2	12	no	—
790	C₂²×D₅	—	2	12	no	—
791	C₂²×D₅	—	4	6	no	—
792	C₂²×D₅	—	4	6	no	—
793	C₂²×D₅	—	4	6	no	—
794	C₂²×D₅	—	4	96	no	—
795	C₂²×D₅	C₂²×D₄	1	12	yes	—
796	C₂²×D₅	C₂×#41	1	8	yes	complemented
797	C₂²×D₅	C₂⁵	1	6	yes	—
798	C₂²×D₅	C₂⁵	1	3	yes	—
799	C₂²×D₅	C₂⁵	1	2	yes	—
800	C₂²×D₅	C₂⁵	1	1	yes	characteristic
801	C₅×Q₈	—	2	12	no	—
802	C₅×Q₈	C₂²×D₄	1	4	yes	complemented
803	C₅×D₄	—	2	24	no	—
804	C₅×D₄	—	2	12	no	—
805	C₅×D₄	—	2	12	no	—
806	C₅×D₄	—	2	6	no	—
807	C₅×D₄	—	4	6	no	—
808	C₅×D₄	C₂²×D₄	1	12	yes	complemented
809	C₅×D₄	C₂×#41	1	4	yes	complemented
810	C₂×C₄×C₅	—	2	12	no	—
811	C₂×C₄×C₅	—	2	12	no	—
812	C₂×C₄×C₅	—	2	4	no	—
813	C₂×C₄×C₅	—	2	12	no	—
814	C₂×C₄×C₅	—	2	12	no	—
815	C₂×C₄×C₅	—	2	6	no	—
816	C₂×C₄×C₅	—	4	3	no	—
817	C₂×C₄×C₅	C₂²×D₄	1	12	yes	complemented
818	C₂×C₄×C₅	C₂⁵	1	1	yes	characteristic
819	C₂×C₄×C₅	C₂⁵	1	3	yes	—
820	C₂×C₄×C₅	C₂⁵	1	3	yes	—
821	C₂×C₄×C₅	C₂⁵	1	6	yes	—
822	C₂×C₄×C₅	C₂⁵	1	2	yes	—
823	C₂×C₄×C₅	C₂⁵	1	3	yes	—
824	C₂×C₄×C₅	C₂⁵	1	1	yes	characteristic
825	C₂×C₄×C₅	C₂⁵	1	1	yes	characteristic
826	C₂²⋊D₅	—	2	24	no	—
827	C₂²⋊D₅	—	2	12	no	—
828	C₂²⋊D₅	—	2	24	no	—
829	C₂²⋊D₅	—	2	12	no	—
830	C₂²⋊D₅	—	2	24	no	—
831	C₂²⋊D₅	—	2	12	no	—
832	C₂²⋊D₅	—	4	12	no	—
833	C₂²⋊D₅	C₂²×D₄	1	24	yes	complemented
834	C₂²⋊D₅	C₂×#41	1	8	yes	complemented
835	C₂×Dic₅	—	2	12	no	—
836	C₂×Dic₅	—	2	12	no	—
837	C₂×Dic₅	—	2	4	no	—
838	C₂×Dic₅	—	2	12	no	—
839	C₂×Dic₅	—	2	12	no	—
840	C₂×Dic₅	—	2	6	no	—
841	C₂×Dic₅	—	4	3	no	—
842	C₂×Dic₅	C₂²×D₄	1	12	yes	complemented
843	C₂×Dic₅	C₂⁵	1	1	yes	characteristic
844	C₂×Dic₅	C₂⁵	1	3	yes	—
845	C₂×Dic₅	C₂⁵	1	3	yes	—
846	C₂×Dic₅	C₂⁵	1	6	yes	—
847	C₂×Dic₅	C₂⁵	1	2	yes	—
848	C₂×Dic₅	C₂⁵	1	1	yes	characteristic
849	C₂×Dic₅	C₂⁵	1	3	yes	—
850	C₂×Dic₅	C₂⁵	1	1	yes	characteristic
851	D₂₀	—	2	24	no	—
852	D₂₀	—	2	12	no	—
853	D₂₀	—	2	12	no	—
854	D₂₀	—	2	6	no	—
855	D₂₀	—	4	6	no	—
856	D₂₀	C₂²×D₄	1	12	yes	complemented
857	D₂₀	C₂×#41	1	4	yes	complemented
858	C₄×D₅	—	2	4	no	—
859	C₄×D₅	—	2	12	no	—
860	C₄×D₅	—	2	12	no	—
861	C₄×D₅	—	2	12	no	—
862	C₄×D₅	—	2	6	no	—
863	C₄×D₅	—	2	2	no	—
864	C₄×D₅	—	2	6	no	—
865	C₄×D₅	—	2	4	no	—
866	C₄×D₅	—	2	12	no	—
867	C₄×D₅	—	2	12	no	—
868	C₄×D₅	—	2	12	no	—
869	C₄×D₅	—	2	6	no	—
870	C₄×D₅	—	2	4	no	—
871	C₄×D₅	—	2	12	no	—
872	C₄×D₅	—	2	12	no	—
873	C₄×D₅	—	2	12	no	—
874	C₄×D₅	—	2	6	no	—
875	C₄×D₅	—	4	3	no	—
876	C₄×D₅	—	4	3	no	—
877	C₄×D₅	C₂²×D₄	1	4	yes	—
878	C₄×D₅	C₂²×D₄	1	12	yes	—
879	C₄×D₅	C₂²×D₄	1	12	yes	complemented
880	C₄×D₅	C₂²×D₄	1	12	yes	complemented
881	C₄×D₅	C₂×#41	1	4	yes	complemented
882	Dic₁₀	—	2	12	no	—
883	Dic₁₀	—	2	24	no	—
884	Dic₁₀	C₂²×D₄	1	12	yes	complemented
885	C₂⁵	—	5	6	no	—
886	C₂×#41	—	2	16	no	—
887	C₂×#41	—	5	16	no	—
888	C₂×#41	—	5	1	no	—
889	C₂×#41	—	5	6	no	—
890	C₂×#41	—	5	6	no	—
891	C₂×#41	—	5	2	no	—
892	C₂×#41	—	5	3	no	—
893	C₂×#41	—	5	12	no	—
894	C₂×#41	—	5	6	no	—
895	C₂×#41	—	5	6	no	—
896	C₂×#41	—	5	12	no	—
897	C₂×#41	—	5	6	no	—
898	C₂×#41	—	5	3	no	—
899	C₂×#41	—	5	12	no	—
900	C₂×#41	—	5	6	no	—
901	C₂×#41	—	5	6	no	—
902	C₂×#41	—	5	12	no	—
903	C₂×#41	—	5	6	no	—
904	C₂×#41	—	10	48	no	—
905	C₂×#41	—	10	48	no	—
906	C₂×#41	—	10	48	no	—
907	C₂×#41	—	10	48	no	—
908	C₂×#41	—	10	16	no	—
909	C₂×#41	—	10	16	no	—
910	C₂×#41	—	10	16	no	—
911	C₂×#41	—	10	48	no	—
912	C₂×#41	—	10	48	no	—
913	C₂×#41	—	10	16	no	—
914	C₂×#41	C₂²×D₅	1	1	yes	characteristic
915	C₂×#41	C₂²×D₅	1	6	yes	complemented
916	C₂×#41	C₂²×D₅	1	6	yes	complemented
917	C₂×#41	C₂²×D₅	1	2	yes	complemented
918	C₂²×Q₈	—	5	1	no	—
919	C₂²×Q₈	—	5	6	no	—
920	C₂²×Q₈	—	5	6	no	—
921	C₂²×Q₈	—	5	2	no	—
922	C₂²×Q₈	—	5	6	no	—
923	C₂²×Q₈	—	10	16	no	—
924	C₂²×Q₈	C₂²×D₅	1	2	yes	complemented
925	C₂²×D₄	—	5	1	no	—
926	C₂²×D₄	—	5	3	no	—
927	C₂²×D₄	—	5	6	no	—
928	C₂²×D₄	—	5	12	no	—
929	C₂²×D₄	—	5	6	no	—
930	C₂²×D₄	—	5	3	no	—
931	C₂²×D₄	—	5	6	no	—
932	C₂²×D₄	—	5	3	no	—
933	C₂²×D₄	—	5	3	no	—
934	C₂²×D₄	—	5	12	no	—
935	C₂²×D₄	—	5	6	no	—
936	C₂²×D₄	—	5	12	no	—
937	C₂²×D₄	—	5	6	no	—
938	C₂²×D₄	—	5	6	no	—
939	C₂²×D₄	—	5	6	no	—
940	C₂²×D₄	—	5	3	no	—
941	C₂²×D₄	—	5	6	no	—
942	C₂²×D₄	—	10	24	no	—
943	C₂²×D₄	—	10	48	no	—
944	C₂²×D₄	C₂²×D₅	1	3	yes	—
945	C₂²×D₄	C₂²×D₅	1	6	yes	complemented
946	C₂³×C₄	—	5	3	no	—
947	C₂³×C₄	—	5	6	no	—
948	C₂³×C₄	—	5	6	no	—
949	C₂³×C₄	—	5	3	no	—
950	C₂³×C₄	—	5	2	no	—
951	C₂³×C₄	—	5	6	no	—
952	C₂³×C₄	—	5	6	no	—
953	C₂³×C₄	—	5	6	no	—
954	C₂³×C₄	—	5	6	no	—
955	C₂³×C₄	—	5	6	no	—
956	C₂³×C₄	—	5	6	no	—
957	C₂³×C₄	—	5	6	no	—
958	C₂³×C₄	—	5	6	no	—
959	C₂³×C₄	—	5	6	no	—
960	C₂³×C₄	—	5	3	no	—
961	C₂³×C₄	—	10	48	no	—
962	C₂³×C₄	C₂²×D₅	1	6	yes	complemented
963	C₄⋊Q₈	—	5	6	no	—
964	C₄⋊Q₈	—	5	6	no	—
965	C₄⋊Q₈	—	5	6	no	—
966	C₄⋊Q₈	—	5	3	no	—
967	C₄⋊Q₈	C₂²×D₅	1	3	yes	complemented
968	#127	—	5	6	no	—
969	#127	—	5	6	no	—
970	#127	—	5	6	no	—
971	#127	—	5	3	no	—
972	#127	C₂²×D₅	1	3	yes	complemented
973	#124	—	5	6	no	—
974	#124	—	5	6	no	—
975	#124	—	5	12	no	—
976	#124	—	5	12	no	—
977	#124	—	5	6	no	—
978	#124	C₂²×D₅	1	6	yes	complemented
979	#123	—	5	12	no	—
980	#123	—	5	12	no	—
981	#123	—	5	12	no	—
982	#123	—	5	12	no	—
983	#123	—	5	12	no	—
984	#123	—	5	12	no	—
985	#123	—	5	12	no	—
986	#123	C₂²×D₅	1	12	yes	complemented
987	C₂²⋊Q₈	—	5	6	no	—
988	C₂²⋊Q₈	—	5	6	no	—
989	C₂²⋊Q₈	—	5	6	no	—
990	C₂²⋊Q₈	—	5	6	no	—
991	C₂²⋊Q₈	—	5	12	no	—
992	C₂²⋊Q₈	—	5	6	no	—
993	C₂²⋊Q₈	—	5	12	no	—
994	C₂²⋊Q₈	—	5	6	no	—
995	C₂²⋊Q₈	—	5	12	no	—
996	C₂²⋊Q₈	—	5	12	no	—
997	C₂²⋊Q₈	C₂²×D₅	1	6	yes	complemented
998	C₂²⋊Q₈	C₂²×D₅	1	6	yes	complemented
999	#121	—	5	6	no	—
1000	#121	—	5	12	no	—
1001	#121	—	5	6	no	—
1002	#121	—	5	12	no	—
1003	#121	—	5	6	no	—
1004	#121	—	5	12	no	—
1005	#121	—	5	6	no	—
1006	#121	—	5	12	no	—
1007	#121	—	5	6	no	—
1008	#121	—	5	6	no	—
1009	#121	—	5	6	no	—
1010	#121	—	5	6	no	—
1011	#121	—	5	6	no	—
1012	#121	—	5	6	no	—
1013	#121	—	5	6	no	—
1014	#121	—	5	6	no	—
1015	#121	—	5	12	no	—
1016	#121	—	5	12	no	—
1017	#121	—	5	12	no	—
1018	#121	—	5	12	no	—
1019	#121	C₂²×D₅	1	6	yes	complemented
1020	#121	C₂²×D₅	1	6	yes	complemented
1021	#121	C₂²×D₅	1	6	yes	complemented
1022	#121	C₂²×D₅	1	6	yes	complemented
1023	#120	—	5	12	no	—
1024	#120	—	5	12	no	—
1025	#120	—	5	12	no	—
1026	#120	—	5	12	no	—
1027	#120	—	5	12	no	—
1028	#120	—	5	12	no	—
1029	#120	—	5	12	no	—
1030	#120	C₂²×D₅	1	12	yes	complemented
1031	C₄×Q₈	—	5	1	no	—
1032	C₄×Q₈	—	5	1	no	—
1033	C₄×Q₈	—	5	3	no	—
1034	C₄×Q₈	—	5	3	no	—
1035	C₄×Q₈	—	5	3	no	—
1036	C₄×Q₈	—	5	3	no	—
1037	C₄×Q₈	C₂²×D₅	1	1	yes	characteristic, complemented
1038	C₄×Q₈	C₂²×D₅	1	1	yes	characteristic, complemented
1039	C₄×D₄	—	5	1	no	—
1040	C₄×D₄	—	5	6	no	—
1041	C₄×D₄	—	5	3	no	—
1042	C₄×D₄	—	5	3	no	—
1043	C₄×D₄	—	5	6	no	—
1044	C₄×D₄	—	5	3	no	—
1045	C₄×D₄	—	5	3	no	—
1046	C₄×D₄	—	5	3	no	—
1047	C₄×D₄	—	5	6	no	—
1048	C₄×D₄	—	5	2	no	—
1049	C₄×D₄	—	5	6	no	—
1050	C₄×D₄	—	5	6	no	—
1051	C₄×D₄	—	5	6	no	—
1052	C₄×D₄	—	5	6	no	—
1053	C₄×D₄	—	5	6	no	—
1054	C₄×D₄	—	5	6	no	—
1055	C₄×D₄	—	5	6	no	—
1056	C₄×D₄	—	5	6	no	—
1057	C₄×D₄	—	5	6	no	—
1058	C₄×D₄	—	5	12	no	—
1059	C₄×D₄	—	5	1	no	—
1060	C₄×D₄	—	5	6	no	—
1061	C₄×D₄	—	5	3	no	—
1062	C₄×D₄	—	5	3	no	—
1063	C₄×D₄	—	5	6	no	—
1064	C₄×D₄	—	5	3	no	—
1065	C₄×D₄	—	5	3	no	—
1066	C₄×D₄	—	5	3	no	—
1067	C₄×D₄	—	5	6	no	—
1068	C₄×D₄	—	5	2	no	—
1069	C₄×D₄	—	5	6	no	—
1070	C₄×D₄	—	5	6	no	—
1071	C₄×D₄	—	5	6	no	—
1072	C₄×D₄	—	5	6	no	—
1073	C₄×D₄	—	5	6	no	—
1074	C₄×D₄	—	5	6	no	—
1075	C₄×D₄	—	5	6	no	—
1076	C₄×D₄	—	5	6	no	—
1077	C₄×D₄	—	5	6	no	—
1078	C₄×D₄	—	5	12	no	—
1079	C₄×D₄	—	5	1	no	—
1080	C₄×D₄	—	5	6	no	—
1081	C₄×D₄	—	5	3	no	—
1082	C₄×D₄	—	5	3	no	—
1083	C₄×D₄	—	5	6	no	—
1084	C₄×D₄	—	5	3	no	—
1085	C₄×D₄	—	5	3	no	—
1086	C₄×D₄	—	5	3	no	—
1087	C₄×D₄	—	5	6	no	—
1088	C₄×D₄	C₂²×D₅	1	1	yes	characteristic
1089	C₄×D₄	C₂²×D₅	1	3	yes	—
1090	C₄×D₄	C₂²×D₅	1	6	yes	complemented
1091	C₄×D₄	C₂²×D₅	1	3	yes	complemented
1092	C₄×D₄	C₂²×D₅	1	6	yes	complemented
1093	C₄×D₄	C₂²×D₅	1	3	yes	complemented
1094	C₄×D₄	C₂²×D₅	1	3	yes	complemented
1095	C₄×D₄	C₂²×D₅	1	3	yes	complemented
1096	C₄×D₄	C₂²×D₅	1	6	yes	complemented
1097	#117	—	5	3	no	—
1098	#117	—	5	3	no	—
1099	#117	—	5	3	no	—
1100	#117	—	5	6	no	—
1101	#117	—	5	6	no	—
1102	#117	C₂²×D₅	1	3	yes	complemented
1103	C₂×C₄⋊C₄	—	5	6	no	—
1104	C₂×C₄⋊C₄	—	5	3	no	—
1105	C₂×C₄⋊C₄	—	5	1	no	—
1106	C₂×C₄⋊C₄	—	5	3	no	—
1107	C₂×C₄⋊C₄	—	5	6	no	—
1108	C₂×C₄⋊C₄	—	5	6	no	—
1109	C₂×C₄⋊C₄	—	5	3	no	—
1110	C₂×C₄⋊C₄	—	5	3	no	—
1111	C₂×C₄⋊C₄	—	5	3	no	—
1112	C₂×C₄⋊C₄	—	5	3	no	—
1113	C₂×C₄⋊C₄	—	5	6	no	—
1114	C₂×C₄⋊C₄	C₂²×D₅	1	3	yes	complemented
1115	C₂×C₂²⋊C₄	—	5	6	no	—
1116	C₂×C₂²⋊C₄	—	5	6	no	—
1117	C₂×C₂²⋊C₄	—	5	6	no	—
1118	C₂×C₂²⋊C₄	—	5	2	no	—
1119	C₂×C₂²⋊C₄	—	5	6	no	—
1120	C₂×C₂²⋊C₄	—	5	6	no	—
1121	C₂×C₂²⋊C₄	—	5	6	no	—
1122	C₂×C₂²⋊C₄	—	5	6	no	—
1123	C₂×C₂²⋊C₄	—	5	6	no	—
1124	C₂×C₂²⋊C₄	—	5	6	no	—
1125	C₂×C₂²⋊C₄	—	5	6	no	—
1126	C₂×C₂²⋊C₄	—	5	6	no	—
1127	C₂×C₂²⋊C₄	—	5	12	no	—
1128	C₂×C₂²⋊C₄	C₂²×D₅	1	6	yes	complemented
1129	C₂×C₄²	—	5	3	no	—
1130	C₂×C₄²	—	5	3	no	—
1131	C₂×C₄²	—	5	3	no	—
1132	C₂×C₄²	—	5	3	no	—
1133	C₂×C₄²	—	5	1	no	—
1134	C₂×C₄²	—	5	3	no	—
1135	C₂×C₄²	—	5	3	no	—
1136	C₂×C₄²	—	5	3	no	—
1137	C₂×C₄²	—	5	3	no	—
1138	C₂×C₄²	—	5	3	no	—
1139	C₂×C₄²	—	5	3	no	—
1140	C₂×C₄²	C₂²×D₅	1	3	yes	complemented
1141	C₂²×C₅	—	2	2	no	—
1142	C₂²×C₅	—	2	3	no	—
1143	C₂²×C₅	—	2	3	no	—
1144	C₂²×C₅	—	2	2	no	—
1145	C₂²×C₅	—	2	6	no	—
1146	C₂²×C₅	—	2	6	no	—
1147	C₂²×C₅	—	2	6	no	—
1148	C₂²×C₅	—	4	24	no	—
1149	C₂²×C₅	C₂³×D₄	1	6	yes	—
1150	C₂²×C₅	C₂²×#41	1	4	yes	complemented
1151	C₂²×C₅	C₂⁶	1	1	yes	characteristic
1152	C₂×D₅	—	2	2	no	—
1153	C₂×D₅	—	2	3	no	—
1154	C₂×D₅	—	2	3	no	—
1155	C₂×D₅	—	2	2	no	—
1156	C₂×D₅	—	2	16	no	—
1157	C₂×D₅	—	2	24	no	—
1158	C₂×D₅	—	2	6	no	—
1159	C₂×D₅	—	2	6	no	—
1160	C₂×D₅	—	2	6	no	—
1161	C₂×D₅	—	4	24	no	—
1162	C₂×D₅	—	4	24	no	—
1163	C₂×D₅	—	4	24	no	—
1164	C₂×D₅	—	4	24	no	—
1165	C₂×D₅	C₂³×D₄	1	6	yes	—
1166	C₂×D₅	C₂³×D₄	1	2	yes	—
1167	C₂×D₅	C₂²×#41	1	2	yes	—
1168	C₂×D₅	C₂²×#41	1	4	yes	complemented
1169	C₂×D₅	#585	1	2	yes	—
1170	C₄×C₅	—	2	6	no	—
1171	C₄×C₅	—	2	2	no	—
1172	C₄×C₅	—	2	3	no	—
1173	C₄×C₅	—	2	1	no	—
1174	C₄×C₅	—	2	3	no	—
1175	C₄×C₅	C₂³×D₄	1	6	yes	—
1176	C₄×C₅	C₂³×D₄	1	2	yes	—
1177	C₄×C₅	C₂²×#41	1	2	yes	complemented
1178	Dic₅	—	2	6	no	—
1179	Dic₅	—	2	2	no	—
1180	Dic₅	—	2	3	no	—
1181	Dic₅	—	2	1	no	—
1182	Dic₅	—	2	3	no	—
1183	Dic₅	C₂³×D₄	1	6	yes	—
1184	Dic₅	C₂³×D₄	1	2	yes	—
1185	Dic₅	C₂²×#41	1	2	yes	complemented
1186	C₂⁴	—	5	2	no	—
1187	C₂⁴	—	5	3	no	—
1188	C₂⁴	—	5	6	no	—
1189	C₂⁴	—	5	6	no	—
1190	C₂⁴	—	5	6	no	—
1191	C₂⁴	—	5	6	no	—
1192	C₂⁴	—	10	24	no	—
1193	C₂⁴	—	10	24	no	—
1194	C₂⁴	—	20	12	no	—
1195	C₂⁴	C₂³×D₅	1	6	yes	—
1196	#41	—	2	8	no	—
1197	#41	—	2	24	no	—
1198	#41	—	2	24	no	—
1199	#41	—	5	8	no	—
1200	#41	—	5	24	no	—
1201	#41	—	5	24	no	—
1202	#41	—	10	48	no	—
1203	#41	—	10	48	no	—
1204	#41	—	10	24	no	—
1205	#41	—	10	24	no	—
1206	#41	—	10	48	no	—
1207	#41	—	10	24	no	—
1208	#41	—	10	24	no	—
1209	#41	—	10	48	no	—
1210	#41	—	10	24	no	—
1211	#41	—	10	24	no	—
1212	#41	—	10	8	no	—
1213	#41	—	10	24	no	—
1214	#41	—	10	24	no	—
1215	#41	D₄×D₅	1	8	yes	direct product factor
1216	C₂×Q₈	—	2	8	no	—
1217	C₂×Q₈	—	5	8	no	—
1218	C₂×Q₈	—	5	3	no	—
1219	C₂×Q₈	—	5	12	no	—
1220	C₂×Q₈	—	5	6	no	—
1221	C₂×Q₈	—	10	24	no	—
1222	C₂×Q₈	—	10	24	no	—
1223	C₂×Q₈	—	10	24	no	—
1224	C₂×Q₈	—	10	8	no	—
1225	C₂×Q₈	C₂³×D₅	1	6	yes	—
1226	C₂×Q₈	C₂³×D₅	1	1	yes	characteristic
1227	C₂×D₄	—	2	24	no	—
1228	C₂×D₄	—	2	12	no	—
1229	C₂×D₄	—	5	2	no	—
1230	C₂×D₄	—	5	6	no	—
1231	C₂×D₄	—	5	24	no	—
1232	C₂×D₄	—	5	8	no	—
1233	C₂×D₄	—	5	6	no	—
1234	C₂×D₄	—	5	6	no	—
1235	C₂×D₄	—	5	6	no	—
1236	C₂×D₄	—	5	12	no	—
1237	C₂×D₄	—	5	12	no	—
1238	C₂×D₄	—	5	12	no	—
1239	C₂×D₄	—	5	12	no	—
1240	C₂×D₄	—	5	1	no	—
1241	C₂×D₄	—	5	3	no	—
1242	C₂×D₄	—	5	6	no	—
1243	C₂×D₄	—	5	3	no	—
1244	C₂×D₄	—	5	12	no	—
1245	C₂×D₄	—	5	6	no	—
1246	C₂×D₄	—	5	6	no	—
1247	C₂×D₄	—	10	24	no	—
1248	C₂×D₄	—	10	12	no	—
1249	C₂×D₄	—	10	24	no	—
1250	C₂×D₄	—	10	12	no	—
1251	C₂×D₄	—	10	48	no	—
1252	C₂×D₄	—	10	24	no	—
1253	C₂×D₄	—	10	24	no	—
1254	C₂×D₄	—	10	12	no	—
1255	C₂×D₄	—	10	48	no	—
1256	C₂×D₄	—	10	24	no	—
1257	C₂×D₄	—	10	48	no	—
1258	C₂×D₄	—	10	24	no	—
1259	C₂×D₄	—	10	24	no	—
1260	C₂×D₄	—	10	12	no	—
1261	C₂×D₄	—	20	12	no	—
1262	C₂×D₄	C₂³×D₅	1	6	yes	—
1263	C₂×D₄	C₂³×D₅	1	3	yes	—
1264	C₂×D₄	C₂³×D₅	1	12	yes	—
1265	C₂×D₄	C₂³×D₅	1	6	yes	—
1266	C₂×D₄	C₂³×D₅	1	6	yes	—
1267	C₂×D₄	C₂³×D₅	1	3	yes	—
1268	C₂×D₄	C₂³×D₅	1	1	yes	characteristic
1269	C₂²×C₄	—	2	24	no	—
1270	C₂²×C₄	—	5	3	no	—
1271	C₂²×C₄	—	5	24	no	—
1272	C₂²×C₄	—	5	1	no	—
1273	C₂²×C₄	—	5	3	no	—
1274	C₂²×C₄	—	5	3	no	—
1275	C₂²×C₄	—	5	1	no	—
1276	C₂²×C₄	—	5	3	no	—
1277	C₂²×C₄	—	5	3	no	—
1278	C₂²×C₄	—	5	6	no	—
1279	C₂²×C₄	—	5	2	no	—
1280	C₂²×C₄	—	5	6	no	—
1281	C₂²×C₄	—	5	6	no	—
1282	C₂²×C₄	—	5	6	no	—
1283	C₂²×C₄	—	5	3	no	—
1284	C₂²×C₄	—	5	1	no	—
1285	C₂²×C₄	—	5	3	no	—
1286	C₂²×C₄	—	5	3	no	—
1287	C₂²×C₄	—	5	3	no	—
1288	C₂²×C₄	—	5	3	no	—
1289	C₂²×C₄	—	5	2	no	—
1290	C₂²×C₄	—	5	6	no	—
1291	C₂²×C₄	—	5	6	no	—
1292	C₂²×C₄	—	5	6	no	—
1293	C₂²×C₄	—	5	2	no	—
1294	C₂²×C₄	—	5	6	no	—
1295	C₂²×C₄	—	5	6	no	—
1296	C₂²×C₄	—	5	6	no	—
1297	C₂²×C₄	—	5	6	no	—
1298	C₂²×C₄	—	5	6	no	—
1299	C₂²×C₄	—	5	2	no	—
1300	C₂²×C₄	—	5	6	no	—
1301	C₂²×C₄	—	5	3	no	—
1302	C₂²×C₄	—	5	3	no	—
1303	C₂²×C₄	—	10	8	no	—
1304	C₂²×C₄	—	10	24	no	—
1305	C₂²×C₄	—	10	24	no	—
1306	C₂²×C₄	—	10	24	no	—
1307	C₂²×C₄	—	10	24	no	—
1308	C₂²×C₄	—	10	24	no	—
1309	C₂²×C₄	—	10	24	no	—
1310	C₂²×C₄	—	10	24	no	—
1311	C₂²×C₄	—	10	24	no	—
1312	C₂²×C₄	—	10	12	no	—
1313	C₂²×C₄	—	10	24	no	—
1314	C₂²×C₄	—	10	24	no	—
1315	C₂²×C₄	—	10	24	no	—
1316	C₂²×C₄	—	20	6	no	—
1317	C₂²×C₄	C₂³×D₅	1	3	yes	—
1318	C₂²×C₄	C₂³×D₅	1	6	yes	—
1319	C₂²×C₄	C₂³×D₅	1	6	yes	—
1320	C₂²×C₄	C₂³×D₅	1	6	yes	—
1321	C₂²×C₄	C₂³×D₅	1	2	yes	—
1322	C₂²×C₄	C₂³×D₅	1	6	yes	—
1323	C₂²×C₄	C₂³×D₅	1	3	yes	—
1324	C₂²×C₄	C₂³×D₅	1	3	yes	—
1325	C₄⋊C₄	—	5	2	no	—
1326	C₄⋊C₄	—	5	1	no	—
1327	C₄⋊C₄	—	5	6	no	—
1328	C₄⋊C₄	—	5	3	no	—
1329	C₄⋊C₄	—	5	6	no	—
1330	C₄⋊C₄	—	5	6	no	—
1331	C₄⋊C₄	—	5	6	no	—
1332	C₄⋊C₄	—	5	6	no	—
1333	C₄⋊C₄	—	5	6	no	—
1334	C₄⋊C₄	—	5	3	no	—
1335	C₄⋊C₄	—	5	3	no	—
1336	C₄⋊C₄	—	5	12	no	—
1337	C₄⋊C₄	—	5	6	no	—
1338	C₄⋊C₄	C₂³×D₅	1	1	yes	characteristic
1339	C₄⋊C₄	C₂³×D₅	1	3	yes	—
1340	C₄⋊C₄	C₂³×D₅	1	6	yes	—
1341	C₄⋊C₄	C₂³×D₅	1	3	yes	—
1342	C₄⋊C₄	C₂³×D₅	1	3	yes	—
1343	C₄⋊C₄	C₂³×D₅	1	6	yes	—
1344	C₂²⋊C₄	—	5	2	no	—
1345	C₂²⋊C₄	—	5	6	no	—
1346	C₂²⋊C₄	—	5	6	no	—
1347	C₂²⋊C₄	—	5	6	no	—
1348	C₂²⋊C₄	—	5	6	no	—
1349	C₂²⋊C₄	—	5	12	no	—
1350	C₂²⋊C₄	—	5	2	no	—
1351	C₂²⋊C₄	—	5	2	no	—
1352	C₂²⋊C₄	—	5	6	no	—
1353	C₂²⋊C₄	—	5	6	no	—
1354	C₂²⋊C₄	—	5	6	no	—
1355	C₂²⋊C₄	—	5	6	no	—
1356	C₂²⋊C₄	—	5	6	no	—
1357	C₂²⋊C₄	—	5	6	no	—
1358	C₂²⋊C₄	—	5	6	no	—
1359	C₂²⋊C₄	—	5	6	no	—
1360	C₂²⋊C₄	—	5	12	no	—
1361	C₂²⋊C₄	—	5	12	no	—
1362	C₂²⋊C₄	C₂³×D₅	1	2	yes	—
1363	C₂²⋊C₄	C₂³×D₅	1	6	yes	—
1364	C₂²⋊C₄	C₂³×D₅	1	6	yes	—
1365	C₂²⋊C₄	C₂³×D₅	1	6	yes	—
1366	C₂²⋊C₄	C₂³×D₅	1	6	yes	—
1367	C₂²⋊C₄	C₂³×D₅	1	12	yes	—
1368	C₄²	—	5	1	no	—
1369	C₄²	—	5	1	no	—
1370	C₄²	—	5	3	no	—
1371	C₄²	—	5	3	no	—
1372	C₄²	—	5	3	no	—
1373	C₄²	—	5	3	no	—
1374	C₄²	—	5	3	no	—
1375	C₄²	—	5	3	no	—
1376	C₄²	—	5	3	no	—
1377	C₄²	—	5	3	no	—
1378	C₄²	—	5	1	no	—
1379	C₄²	—	5	3	no	—
1380	C₄²	C₂³×D₅	1	3	yes	—
1381	C₄²	C₂³×D₅	1	3	yes	—
1382	C₄²	C₂³×D₅	1	1	yes	characteristic
1383	C₄²	C₂³×D₅	1	3	yes	—
1384	C₂×C₅	—	2	4	no	—
1385	C₂×C₅	—	2	6	no	—
1386	C₂×C₅	—	4	6	no	—
1387	C₂×C₅	C₂⁴×D₄	1	1	yes	characteristic
1388	C₂×C₅	C₂³×#41	1	1	yes	characteristic
1389	C₂×C₅	C₂×#585	1	1	yes	characteristic
1390	D₅	—	2	4	no	—
1391	D₅	—	2	6	no	—
1392	D₅	—	4	6	no	—
1393	D₅	D₄×#41	1	4	yes	direct product factor
1394	C₂³	—	2	12	no	—
1395	C₂³	—	2	12	no	—
1396	C₂³	—	4	6	no	—
1397	C₂³	—	5	1	no	—
1398	C₂³	—	5	12	no	—
1399	C₂³	—	5	8	no	—
1400	C₂³	—	5	2	no	—
1401	C₂³	—	5	3	no	—
1402	C₂³	—	5	6	no	—
1403	C₂³	—	10	4	no	—
1404	C₂³	—	10	6	no	—
1405	C₂³	—	10	6	no	—
1406	C₂³	—	10	4	no	—
1407	C₂³	—	10	12	no	—
1408	C₂³	—	10	12	no	—
1409	C₂³	—	10	12	no	—
1410	C₂³	—	10	12	no	—
1411	C₂³	—	10	12	no	—
1412	C₂³	—	10	12	no	—
1413	C₂³	—	10	12	no	—
1414	C₂³	—	10	12	no	—
1415	C₂³	—	10	12	no	—
1416	C₂³	—	20	6	no	—
1417	C₂³	—	20	6	no	—
1418	C₂³	—	20	6	no	—
1419	C₂³	—	20	96	no	—
1420	C₂³	C₂⁴×D₅	1	6	yes	—
1421	C₂³	C₂⁴×D₅	1	3	yes	—
1422	C₂³	C₂⁴×D₅	1	2	yes	—
1423	Q₈	—	2	12	no	—
1424	Q₈	—	5	12	no	—
1425	Q₈	—	10	24	no	—
1426	Q₈	—	10	12	no	—
1427	Q₈	C₂×D₄×D₅	1	4	yes	complemented
1428	D₄	—	2	24	no	—
1429	D₄	—	2	12	no	—
1430	D₄	—	2	12	no	—
1431	D₄	—	2	6	no	—
1432	D₄	—	4	6	no	—
1433	D₄	—	5	24	no	—
1434	D₄	—	5	8	no	—
1435	D₄	—	5	12	no	—
1436	D₄	—	5	4	no	—
1437	D₄	—	10	24	no	—
1438	D₄	—	10	12	no	—
1439	D₄	—	10	24	no	—
1440	D₄	—	10	12	no	—
1441	D₄	—	10	24	no	—
1442	D₄	—	10	12	no	—
1443	D₄	—	10	24	no	—
1444	D₄	—	10	12	no	—
1445	D₄	—	10	12	no	—
1446	D₄	—	10	6	no	—
1447	D₄	—	20	6	no	—
1448	D₄	—	20	12	no	—
1449	D₄	C₂×D₄×D₅	1	12	yes	complemented
1450	D₄	D₅×#41	1	4	yes	direct product factor
1451	C₂×C₄	—	2	12	no	—
1452	C₂×C₄	—	2	4	no	—
1453	C₂×C₄	—	2	12	no	—
1454	C₂×C₄	—	2	12	no	—
1455	C₂×C₄	—	2	12	no	—
1456	C₂×C₄	—	2	6	no	—
1457	C₂×C₄	—	4	3	no	—
1458	C₂×C₄	—	5	12	no	—
1459	C₂×C₄	—	5	1	no	—
1460	C₂×C₄	—	5	1	no	—
1461	C₂×C₄	—	5	3	no	—
1462	C₂×C₄	—	5	4	no	—
1463	C₂×C₄	—	5	12	no	—
1464	C₂×C₄	—	5	12	no	—
1465	C₂×C₄	—	5	12	no	—
1466	C₂×C₄	—	5	4	no	—
1467	C₂×C₄	—	5	1	no	—
1468	C₂×C₄	—	5	3	no	—
1469	C₂×C₄	—	5	3	no	—
1470	C₂×C₄	—	5	2	no	—
1471	C₂×C₄	—	5	6	no	—
1472	C₂×C₄	—	10	4	no	—
1473	C₂×C₄	—	10	12	no	—
1474	C₂×C₄	—	10	12	no	—
1475	C₂×C₄	—	10	12	no	—
1476	C₂×C₄	—	10	6	no	—
1477	C₂×C₄	—	10	4	no	—
1478	C₂×C₄	—	10	12	no	—
1479	C₂×C₄	—	10	12	no	—
1480	C₂×C₄	—	10	12	no	—
1481	C₂×C₄	—	10	6	no	—
1482	C₂×C₄	—	10	2	no	—
1483	C₂×C₄	—	10	6	no	—
1484	C₂×C₄	—	10	4	no	—
1485	C₂×C₄	—	10	12	no	—
1486	C₂×C₄	—	10	12	no	—
1487	C₂×C₄	—	10	12	no	—
1488	C₂×C₄	—	10	6	no	—
1489	C₂×C₄	—	10	12	no	—
1490	C₂×C₄	—	10	4	no	—
1491	C₂×C₄	—	10	12	no	—
1492	C₂×C₄	—	10	12	no	—
1493	C₂×C₄	—	10	12	no	—
1494	C₂×C₄	—	10	6	no	—
1495	C₂×C₄	—	20	3	no	—
1496	C₂×C₄	—	20	3	no	—
1497	C₂×C₄	—	20	3	no	—
1498	C₂×C₄	C₂×D₄×D₅	1	12	yes	complemented
1499	C₂×C₄	C₂⁴×D₅	1	1	yes	characteristic
1500	C₂×C₄	C₂⁴×D₅	1	3	yes	—
1501	C₂×C₄	C₂⁴×D₅	1	3	yes	—
1502	C₂×C₄	C₂⁴×D₅	1	2	yes	—
1503	C₂×C₄	C₂⁴×D₅	1	6	yes	—
1504	C₂×C₄	C₂⁴×D₅	1	3	yes	—
1505	C₂×C₄	C₂⁴×D₅	1	1	yes	characteristic
1506	C₂×C₄	C₂⁴×D₅	1	1	yes	characteristic
1507	C₅	C₂×D₄×#41	1	1	yes	characteristic, complemented, Sylow
1508	C₂²	—	2	2	no	—
1509	C₂²	—	2	3	no	—
1510	C₂²	—	2	3	no	—
1511	C₂²	—	2	2	no	—
1512	C₂²	—	2	6	no	—
1513	C₂²	—	2	6	no	—
1514	C₂²	—	2	6	no	—
1515	C₂²	—	4	24	no	—
1516	C₂²	—	5	2	no	—
1517	C₂²	—	5	2	no	—
1518	C₂²	—	5	2	no	—
1519	C₂²	—	5	6	no	—
1520	C₂²	—	5	4	no	—
1521	C₂²	—	10	16	no	—
1522	C₂²	—	10	24	no	—
1523	C₂²	—	10	2	no	—
1524	C₂²	—	10	3	no	—
1525	C₂²	—	10	3	no	—
1526	C₂²	—	10	2	no	—
1527	C₂²	—	10	6	no	—
1528	C₂²	—	10	6	no	—
1529	C₂²	—	10	6	no	—
1530	C₂²	—	20	24	no	—
1531	C₂²	—	20	24	no	—
1532	C₂²	—	20	24	no	—
1533	C₂²	—	20	24	no	—
1534	C₂²	C₂²×D₄×D₅	1	6	yes	—
1535	C₂²	C₂×D₅×#41	1	4	yes	complemented
1536	C₂²	C₂⁵×D₅	1	1	yes	characteristic
1537	C₄	—	2	2	no	—
1538	C₄	—	2	6	no	—
1539	C₄	—	2	3	no	—
1540	C₄	—	2	1	no	—
1541	C₄	—	2	3	no	—
1542	C₄	—	5	2	no	—
1543	C₄	—	5	6	no	—
1544	C₄	—	5	2	no	—
1545	C₄	—	10	2	no	—
1546	C₄	—	10	6	no	—
1547	C₄	—	10	3	no	—
1548	C₄	—	10	1	no	—
1549	C₄	—	10	3	no	—
1550	C₄	C₂²×D₄×D₅	1	2	yes	—
1551	C₄	C₂²×D₄×D₅	1	6	yes	—
1552	C₄	C₂×D₅×#41	1	2	yes	complemented
1553	C₂	—	2	4	no	—
1554	C₂	—	2	6	no	—
1555	C₂	—	4	6	no	—
1556	C₂	—	5	4	no	—
1557	C₂	—	10	4	no	—
1558	C₂	—	10	6	no	—
1559	C₂	—	20	6	no	—
1560	C₂	C₂³×D₄×D₅	1	1	yes	characteristic
1561	C₂	C₂²×D₅×#41	1	1	yes	characteristic
1562	C₂	D₅×#585	1	1	yes	characteristic

	subgroup	G/H
center	C₂×C₄	C₂⁴×D₅
commutator, socle, cosocle	C₂²×C₅	C₂⁶
Frattini	C₂²	C₂⁵×D₅
Fitting	C₅×D₄×#41	C₂
hypercenter	D₄×#41	D₅
hypocenter	C₅	C₂×D₄×#41
LCS	G ▷ C₂²×C₅ ▷ C₅
UCS	C₁ ◁ C₂×C₄ ◁ D₄×#41

Complements

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

N	H ≅ G/N	type
1. C₂²×D₅×#41	C₂	semidirect
2. C₅×D₄×#41	C₂	semidirect
3. #41×C₂²⋊D₅	C₂	semidirect
4. D₅×#550	C₂	semidirect
5. #10618667	C₂	semidirect
6. D₄×Q₈×D₅	C₂	semidirect
7. D₄×#713	C₂	semidirect
8. D₅×#548	C₂	semidirect
9. #10618611	C₂	semidirect
10. D₅×#547	C₂	semidirect
11. #10618575	C₂	semidirect
12. D₅×#546	C₂	semidirect
13. #10618527	C₂	semidirect
14. D₄²×D₅	C₂	semidirect
15. D₄×#711	C₂	semidirect
16. #10618139	C₂	semidirect
17. D₅×#532	C₂	semidirect
18. #10617938	C₂	semidirect
19. D₅×#525	C₂	semidirect
20. #41×D₂₀	C₂	semidirect
21. C₄×D₅×#41	C₂	semidirect
22. D₄×#709	C₂	semidirect
23. C₂×C₄×D₄×D₅	C₂	semidirect
24. C₂²×C₅×#41	C₂²	semidirect
27. C₂×D₅×#41	C₂²	semidirect
28. C₂×D₅×#41	C₂²	semidirect
29. C₂×D₅×#41	C₂²	semidirect
30. C₂×D₅×#41	C₂²	semidirect
31. C₂×D₅×#41	C₂²	semidirect
32. C₂×D₅×#41	C₂²	semidirect
33. C₂×D₅×#41	C₂²	semidirect
34. C₂²×#713	C₂²	semidirect
35. C₂²×Q₈×D₅	C₂²	semidirect
36. C₂²×#711	C₂²	semidirect
38. C₂²×D₄×D₅	C₂²	semidirect
39. C₂²×#709	C₂²	semidirect
40. C₂³×C₄×D₅	C₂²	semidirect
41. C₅×#550	C₂²	semidirect
42. C₅×D₄×Q₈	C₂²	semidirect
43. C₅×#548	C₂²	semidirect
44. C₅×#547	C₂²	semidirect
45. C₅×#546	C₂²	semidirect
46. C₅×D₄²	C₂²	semidirect
47. C₅×#532	C₂²	semidirect
48. C₅×#525	C₂²	semidirect
49. C₄×C₅×#41	C₂²	semidirect
50. C₂×C₄×C₅×D₄	C₂²	semidirect
51. #66168	C₂²	semidirect
52. #66166	C₂²	semidirect
53. #66165	C₂²	semidirect
54. #66163	C₂²	semidirect
55. #66162	C₂²	semidirect
56. #41×Dic₅	C₂²	semidirect
57. #66158	C₂²	semidirect
58. #66151	C₂²	semidirect
59. Q₈×C₂²⋊D₅	C₂²	semidirect
60. #66140	C₂²	semidirect
61. D₄×C₂²⋊D₅	C₂²	semidirect
62. D₄×C₂²⋊D₅	C₂²	semidirect
63. C₂×D₄×Dic₅	C₂²	semidirect
64. #66125	C₂²	semidirect
65. C₂×C₄×C₂²⋊D₅	C₂²	semidirect
66. #66061	C₂²	semidirect
67. #66060	C₂²	semidirect
68. #66059	C₂²	semidirect
69. D₅×C₄⋊Q₈	C₂²	semidirect
70. #66052	C₂²	semidirect
71. #66051	C₂²	semidirect
72. #66050	C₂²	semidirect
73. D₅×#127	C₂²	semidirect
74. #66011	C₂²	semidirect
75. #66010	C₂²	semidirect
76. D₅×#124	C₂²	semidirect
77. #66002	C₂²	semidirect
78. #65990	C₂²	semidirect
79. #65989	C₂²	semidirect
80. #65988	C₂²	semidirect
81. D₅×#123	C₂²	semidirect
82. #65967	C₂²	semidirect
83. #65966	C₂²	semidirect
84. #65965	C₂²	semidirect
85. #65964	C₂²	semidirect
86. #65961	C₂²	semidirect
87. #65961	C₂²	semidirect
88. D₅×C₂²⋊Q₈	C₂²	semidirect
89. D₅×C₂²⋊Q₈	C₂²	semidirect
90. #65946	C₂²	semidirect
91. #65945	C₂²	semidirect
92. #65944	C₂²	semidirect
93. #65943	C₂²	semidirect
94. #65943	C₂²	semidirect
95. #65940	C₂²	semidirect
96. #65940	C₂²	semidirect
97. D₅×#121	C₂²	semidirect
98. D₅×#121	C₂²	semidirect
99. D₅×#121	C₂²	semidirect
100. D₅×#121	C₂²	semidirect
101. #65933	C₂²	semidirect
102. #65932	C₂²	semidirect
103. #65930	C₂²	semidirect
104. #65930	C₂²	semidirect
105. #65925	C₂²	semidirect
106. #65924	C₂²	semidirect
107. D₅×#120	C₂²	semidirect
108. #65920	C₂²	semidirect
109. #65911	C₂²	semidirect
110. #65910	C₂²	semidirect
111. Q₈×D₂₀	C₂²	semidirect
112. C₄×#713	C₂²	semidirect
113. C₄×#713	C₂²	semidirect
114. C₄×Q₈×D₅	C₂²	semidirect
115. C₄×Q₈×D₅	C₂²	semidirect
116. #65889	C₂²	semidirect
117. #65888	C₂²	semidirect
118. #65887	C₂²	semidirect
119. #65886	C₂²	semidirect
120. #65885	C₂²	semidirect
121. #65884	C₂²	semidirect
122. D₄×D₂₀	C₂²	semidirect
123. D₄×D₂₀	C₂²	semidirect
124. #65882	C₂²	semidirect
125. #65882	C₂²	semidirect
126. #65881	C₂²	semidirect
127. #65881	C₂²	semidirect
130. C₄×D₄×D₅	C₂²	semidirect
131. C₄×D₄×D₅	C₂²	semidirect
132. C₄×D₄×D₅	C₂²	semidirect
133. C₄×D₄×D₅	C₂²	semidirect
134. C₄×D₄×D₅	C₂²	semidirect
135. C₄×D₄×D₅	C₂²	semidirect
136. C₄×D₄×D₅	C₂²	semidirect
137. C₄×D₄×D₅	C₂²	semidirect
138. C₄×D₄×D₅	C₂²	semidirect
139. C₄×D₄×D₅	C₂²	semidirect
140. C₄×D₄×D₅	C₂²	semidirect
141. C₄×D₄×D₅	C₂²	semidirect
142. C₄×D₄×D₅	C₂²	semidirect
143. D₄×Dic₁₀	C₂²	semidirect
144. C₄×#711	C₂²	semidirect
145. C₄×#711	C₂²	semidirect
146. #65858	C₂²	semidirect
147. #65856	C₂²	semidirect
148. D₅×#117	C₂²	semidirect
149. #65841	C₂²	semidirect
150. C₂×#4039	C₂²	semidirect
151. C₂×D₅×C₄⋊C₄	C₂²	semidirect
152. #65824	C₂²	semidirect
153. C₂×#4027	C₂²	semidirect
154. C₂×D₅×C₂²⋊C₄	C₂²	semidirect
155. #65811	C₂²	semidirect
156. C₄×#709	C₂²	semidirect
157. C₂×C₄×D₂₀	C₂²	semidirect
158. C₂×C₄²×D₅	C₂²	semidirect
163. C₂×C₅×#41	C₂³	semidirect
164. C₂×C₅×#41	C₂³	semidirect
165. C₂×C₅×#41	C₂³	semidirect
166. C₂²×C₅×Q₈	C₂³	semidirect
168. C₂²×C₅×D₄	C₂³	semidirect
169. C₂³×C₄×C₅	C₂³	semidirect
171. C₂²×C₂²⋊D₅	C₂³	semidirect
172. C₂³×Dic₅	C₂³	semidirect
180. D₅×#41	D₄	direct (N × H)
183. C₂×#713	C₂³	semidirect
184. C₂×#713	C₂³	semidirect
185. C₂×#713	C₂³	semidirect
189. C₂×Q₈×D₅	C₂³	semidirect
190. C₂×Q₈×D₅	C₂³	semidirect
193. C₂×#711	C₂³	semidirect
194. C₂×#711	C₂³	semidirect
195. C₂×#711	C₂³	semidirect
196. C₂×#711	C₂³	semidirect
197. C₂×#711	C₂³	semidirect
210. C₂×D₄×D₅	C₂³	semidirect
211. C₂×D₄×D₅	C₂³	semidirect
212. C₂×D₄×D₅	C₂³	semidirect
215. C₂×#709	C₂³	semidirect
216. C₂×#709	C₂³	semidirect
217. C₂×#709	C₂³	semidirect
218. C₂×#709	C₂³	semidirect
219. C₂×#709	C₂³	semidirect
221. C₂²×D₂₀	C₂³	semidirect
231. C₂²×C₄×D₅	C₂³	semidirect
232. C₂²×C₄×D₅	C₂³	semidirect
233. C₂²×C₄×D₅	C₂³	semidirect
234. C₂²×C₄×D₅	C₂³	semidirect
235. C₂²×C₄×D₅	C₂³	semidirect
236. C₂²×C₄×D₅	C₂³	semidirect
237. C₂²×Dic₁₀	C₂³	semidirect
238. C₅×C₄⋊Q₈	C₂³	semidirect
239. C₅×#127	C₂³	semidirect
240. C₅×#124	C₂³	semidirect
241. C₅×#123	C₂³	semidirect
242. C₅×C₂²⋊Q₈	C₂³	semidirect
243. C₅×C₂²⋊Q₈	C₂³	semidirect
244. C₅×#121	C₂³	semidirect
245. C₅×#121	C₂³	semidirect
246. C₅×#121	C₂³	semidirect
247. C₅×#121	C₂³	semidirect
248. C₅×#120	C₂³	semidirect
249. C₄×C₅×Q₈	C₂³	semidirect
250. C₄×C₅×Q₈	C₂³	semidirect
253. C₄×C₅×D₄	C₂³	semidirect
254. C₄×C₅×D₄	C₂³	semidirect
255. C₄×C₅×D₄	C₂³	semidirect
256. C₄×C₅×D₄	C₂³	semidirect
257. C₄×C₅×D₄	C₂³	semidirect
258. C₄×C₅×D₄	C₂³	semidirect
259. C₄×C₅×D₄	C₂³	semidirect
260. C₅×#117	C₂³	semidirect
261. C₂×C₅×C₄⋊C₄	C₂³	semidirect
262. C₂×C₅×C₂²⋊C₄	C₂³	semidirect
263. C₂×C₄²×C₅	C₂³	semidirect
264. #4099	C₂³	semidirect
265. C₂×C₂²⋊Dic₅	C₂³	semidirect
266. #4093	C₂³	semidirect
267. #4092	C₂³	semidirect
268. #4092	C₂³	semidirect
269. Q₈×Dic₅	C₂³	semidirect
270. Q₈×Dic₅	C₂³	semidirect
271. #4090	C₂³	semidirect
272. #4086	C₂³	semidirect
273. #4086	C₂³	semidirect
274. #4086	C₂³	semidirect
275. #4085	C₂³	semidirect
276. #4085	C₂³	semidirect
277. #4085	C₂³	semidirect
278. #4085	C₂³	semidirect
279. #4084	C₂³	semidirect
280. #4084	C₂³	semidirect
281. #4084	C₂³	semidirect
282. #4084	C₂³	semidirect
283. #4083	C₂³	semidirect
284. #4083	C₂³	semidirect
285. #4083	C₂³	semidirect
286. #4082	C₂³	semidirect
287. #4081	C₂³	semidirect
290. D₄×Dic₅	C₂³	semidirect
291. D₄×Dic₅	C₂³	semidirect
292. D₄×Dic₅	C₂³	semidirect
293. D₄×Dic₅	C₂³	semidirect
294. D₄×Dic₅	C₂³	semidirect
295. D₄×Dic₅	C₂³	semidirect
296. D₄×Dic₅	C₂³	semidirect
297. #4076	C₂³	semidirect
298. #4076	C₂³	semidirect
299. #4076	C₂³	semidirect
300. #4076	C₂³	semidirect
301. #4075	C₂³	semidirect
304. C₄×C₂²⋊D₅	C₂³	semidirect
305. C₄×C₂²⋊D₅	C₂³	semidirect
306. C₄×C₂²⋊D₅	C₂³	semidirect
307. C₄×C₂²⋊D₅	C₂³	semidirect
308. C₄×C₂²⋊D₅	C₂³	semidirect
309. C₄×C₂²⋊D₅	C₂³	semidirect
310. C₄×C₂²⋊D₅	C₂³	semidirect
311. C₄×C₂²⋊D₅	C₂³	semidirect
312. C₄×C₂²⋊D₅	C₂³	semidirect
313. C₂×#685	C₂³	semidirect
314. C₂×#685	C₂³	semidirect
315. #4072	C₂³	semidirect
316. C₂×C₄⋊Dic₅	C₂³	semidirect
317. #4070	C₂³	semidirect
318. #4070	C₂³	semidirect
319. C₂×#683	C₂³	semidirect
320. C₂×C₄×Dic₅	C₂³	semidirect
321. C₂×C₄×Dic₅	C₂³	semidirect
322. C₂×C₄×Dic₅	C₂³	semidirect
323. #4043	C₂³	semidirect
324. #4043	C₂³	semidirect
325. #4042	C₂³	semidirect
326. #4042	C₂³	semidirect
327. #4041	C₂³	semidirect
328. #4041	C₂³	semidirect
329. #4041	C₂³	semidirect
330. #4041	C₂³	semidirect
331. #4040	C₂³	semidirect
332. #4040	C₂³	semidirect
335. #4039	C₂³	semidirect
336. #4039	C₂³	semidirect
337. #4039	C₂³	semidirect
338. #4039	C₂³	semidirect
339. #4039	C₂³	semidirect
340. #4039	C₂³	semidirect
341. #4039	C₂³	semidirect
342. #4038	C₂³	semidirect
343. #4038	C₂³	semidirect
350. D₅×C₄⋊C₄	C₂³	semidirect
351. D₅×C₄⋊C₄	C₂³	semidirect
352. D₅×C₄⋊C₄	C₂³	semidirect
353. #4034	C₂³	semidirect
354. #4034	C₂³	semidirect
355. #4033	C₂³	semidirect
356. #4033	C₂³	semidirect
357. #4032	C₂³	semidirect
358. #4031	C₂³	semidirect
359. #4031	C₂³	semidirect
360. #4030	C₂³	semidirect
361. #4030	C₂³	semidirect
362. #4030	C₂³	semidirect
363. #4030	C₂³	semidirect
364. #4029	C₂³	semidirect
365. #4029	C₂³	semidirect
366. #4028	C₂³	semidirect
367. #4028	C₂³	semidirect
368. #4028	C₂³	semidirect
371. #4027	C₂³	semidirect
372. #4027	C₂³	semidirect
373. #4027	C₂³	semidirect
374. #4027	C₂³	semidirect
375. #4027	C₂³	semidirect
376. #4027	C₂³	semidirect
377. #4027	C₂³	semidirect
378. #4027	C₂³	semidirect
379. #4027	C₂³	semidirect
386. D₅×C₂²⋊C₄	C₂³	semidirect
387. D₅×C₂²⋊C₄	C₂³	semidirect
388. D₅×C₂²⋊C₄	C₂³	semidirect
389. D₅×C₂²⋊C₄	C₂³	semidirect
390. #4024	C₂³	semidirect
391. #4024	C₂³	semidirect
392. #4023	C₂³	semidirect
393. #4021	C₂³	semidirect
394. #4020	C₂³	semidirect
397. C₄×D₂₀	C₂³	semidirect
398. C₄×D₂₀	C₂³	semidirect
399. C₄×D₂₀	C₂³	semidirect
400. C₄×D₂₀	C₂³	semidirect
401. C₄×D₂₀	C₂³	semidirect
402. C₄×D₂₀	C₂³	semidirect
403. C₄×D₂₀	C₂³	semidirect
404. #4018	C₂³	semidirect
409. C₄²×D₅	C₂³	semidirect
410. C₄²×D₅	C₂³	semidirect
411. C₄²×D₅	C₂³	semidirect
412. C₄²×D₅	C₂³	semidirect
413. #4015	C₂³	semidirect
414. C₄×Dic₁₀	C₂³	semidirect
415. C₄×Dic₁₀	C₂³	semidirect
428. D₄×#41	D₅	direct (N × H)
452. C₅×#41	C₂×D₄	semidirect
497. #713	C₂×D₄	semidirect
501. Q₈×D₅	C₂×D₄	semidirect
507. #711	C₂×D₄	semidirect
519. D₄×D₅	C₂×D₄	semidirect
520. D₄×D₅	#41	direct (N × H)
526. #709	C₂×D₄	semidirect
549. C₂×C₄×D₅	C₂×D₄	semidirect
649. C₂²×#41	C₂×D₅	semidirect
659. #550	C₂×D₅	semidirect
665. D₄×Q₈	C₂×D₅	semidirect
673. #548	C₂×D₅	semidirect
682. #547	C₂×D₅	semidirect
694. #546	C₂×D₅	semidirect
703. D₄²	C₂×D₅	semidirect
713. #532	C₂×D₅	semidirect
728. #525	C₂×D₅	semidirect
744. C₄×#41	C₂×D₅	semidirect
767. C₂×C₄×D₄	C₂×D₅	semidirect
796. C₂²×D₅	C₂×#41	semidirect
802. C₅×Q₈	C₂²×D₄	semidirect
808. C₅×D₄	C₂²×D₄	semidirect
809. C₅×D₄	C₂×#41	semidirect
817. C₂×C₄×C₅	C₂²×D₄	semidirect
833. C₂²⋊D₅	C₂²×D₄	semidirect
834. C₂²⋊D₅	C₂×#41	semidirect
842. C₂×Dic₅	C₂²×D₄	semidirect
856. D₂₀	C₂²×D₄	semidirect
857. D₂₀	C₂×#41	semidirect
879. C₄×D₅	C₂²×D₄	semidirect
880. C₄×D₅	C₂²×D₄	semidirect
881. C₄×D₅	C₂×#41	semidirect
884. Dic₁₀	C₂²×D₄	semidirect
915. C₂×#41	C₂²×D₅	semidirect
916. C₂×#41	C₂²×D₅	semidirect
917. C₂×#41	C₂²×D₅	semidirect
924. C₂²×Q₈	C₂²×D₅	semidirect
945. C₂²×D₄	C₂²×D₅	semidirect
962. C₂³×C₄	C₂²×D₅	semidirect
967. C₄⋊Q₈	C₂²×D₅	semidirect
972. #127	C₂²×D₅	semidirect
978. #124	C₂²×D₅	semidirect
986. #123	C₂²×D₅	semidirect
997. C₂²⋊Q₈	C₂²×D₅	semidirect
998. C₂²⋊Q₈	C₂²×D₅	semidirect
1019. #121	C₂²×D₅	semidirect
1020. #121	C₂²×D₅	semidirect
1021. #121	C₂²×D₅	semidirect
1022. #121	C₂²×D₅	semidirect
1030. #120	C₂²×D₅	semidirect
1037. C₄×Q₈	C₂²×D₅	semidirect
1038. C₄×Q₈	C₂²×D₅	semidirect
1090. C₄×D₄	C₂²×D₅	semidirect
1091. C₄×D₄	C₂²×D₅	semidirect
1092. C₄×D₄	C₂²×D₅	semidirect
1093. C₄×D₄	C₂²×D₅	semidirect
1094. C₄×D₄	C₂²×D₅	semidirect
1095. C₄×D₄	C₂²×D₅	semidirect
1096. C₄×D₄	C₂²×D₅	semidirect
1102. #117	C₂²×D₅	semidirect
1114. C₂×C₄⋊C₄	C₂²×D₅	semidirect
1128. C₂×C₂²⋊C₄	C₂²×D₅	semidirect
1140. C₂×C₄²	C₂²×D₅	semidirect
1150. C₂²×C₅	C₂²×#41	semidirect
1168. C₂×D₅	C₂²×#41	semidirect
1177. C₄×C₅	C₂²×#41	semidirect
1185. Dic₅	C₂²×#41	semidirect
1215. #41	D₄×D₅	direct (N × H)
1393. D₅	D₄×#41	direct (N × H)
1427. Q₈	C₂×D₄×D₅	semidirect
1449. D₄	C₂×D₄×D₅	semidirect
1450. D₄	D₅×#41	direct (N × H)
1498. C₂×C₄	C₂×D₄×D₅	semidirect
1507. C₅	C₂×D₄×#41	semidirect
1535. C₂²	C₂×D₅×#41	semidirect
1552. C₄	C₂×D₅×#41	semidirect

Maximal subgroups

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

subgroup	index
C₂²×D₅×#41	2
C₅×D₄×#41	2
#41×C₂²⋊D₅	2
D₅×#550	2
#10618667	2
D₄×Q₈×D₅	2
D₄×#713	2
D₅×#548	2
#10618611	2
D₅×#547	2
#10618575	2
D₅×#546	2
#10618527	2
D₄²×D₅	2
D₄×#711	2
#10618139	2
D₅×#532	2
#10617938	2
D₅×#525	2
#41×D₂₀	2
C₄×D₅×#41	2
D₄×#709	2
C₂×C₄×D₄×D₅	2
C₂×D₄×#41	5

Subgroups — D4×D5×#41 #13006253

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — D₄×D₅×#41 #13006253