Subgroups — D₅×#3488 #13007603

Order 1280.

12366 conjugacy classes of subgroups.

The subgroup lattice has 1706 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×D₅×H(5,𝔽₂)	C₂	1	1	yes	maximal, characteristic, complemented
2	C₂²×D₅×#41	C₂	1	1	yes	maximal, characteristic, complemented
3	C₅×#3488	C₂	1	1	yes	maximal, characteristic, complemented
4	#10619186	C₂	1	1	yes	maximal, characteristic, complemented
5	#10619176	C₂	1	1	yes	maximal, characteristic, complemented
6	D₅×#550	C₂	1	2	yes	maximal, complemented
7	#10618670	C₂	1	2	yes	maximal, complemented
8	D₅×#548	C₂	1	2	yes	maximal, complemented
9	#10618614	C₂	1	2	yes	maximal, complemented
10	D₅×#546	C₂	1	6	yes	maximal, complemented
11	#10618530	C₂	1	6	yes	maximal, complemented
12	D₄²×D₅	C₂	1	6	yes	maximal, complemented
13	#10618508	C₂	1	6	yes	maximal, complemented
14	#10618280	C₂	1	3	yes	maximal, complemented
15	D₅×#537	C₂	1	3	yes	maximal, complemented
16	#10618232	C₂	1	3	yes	maximal, complemented
17	D₅×#535	C₂	1	3	yes	maximal, complemented
18	#10617942	C₂	1	3	yes	maximal, complemented
19	D₅×#525	C₂	1	3	yes	maximal, complemented
20	#10617850	C₂	1	3	yes	maximal, complemented
21	C₂×D₅×#121	C₂	1	3	yes	maximal, complemented
22	#10617801	C₂	1	1	yes	maximal, characteristic, complemented
23	D₅×#520	C₂	1	1	yes	maximal, characteristic, complemented
24	C₂×C₅×H(5,𝔽₂)	C₂²	1	1	yes	characteristic, complemented
25	C₂²×C₅×#41	C₂²	1	1	yes	characteristic, complemented
26	D₅×H(5,𝔽₂)	—	2	16	no	—
27	C₂×#4149	C₂²	1	3	yes	complemented
28	C₂×#4149	C₂²	1	2	yes	complemented
29	C₂×#4149	C₂²	1	1	yes	characteristic, complemented
30	C₂×D₅×#41	—	2	16	no	—
31	C₂×D₅×#41	C₂²	1	1	yes	characteristic
32	C₂×D₅×#41	C₂²	1	2	yes	complemented
33	C₂×D₅×#41	C₂²	1	1	yes	characteristic, complemented
34	C₂×D₅×#41	C₂²	1	3	yes	complemented
35	C₂×D₅×#41	C₂²	1	3	yes	complemented
36	C₂×D₅×#41	C₂²	1	3	yes	complemented
37	C₂×D₅×#41	C₂²	1	3	yes	complemented
38	C₂×D₅×#41	C₂²	1	3	yes	complemented
39	C₂×D₅×#41	C₂²	1	1	yes	characteristic, complemented
40	C₂×D₅×#41	C₂²	1	1	yes	characteristic, complemented
41	C₂²×#713	C₂²	1	1	yes	characteristic, complemented
42	C₂²×Q₈×D₅	C₂²	1	1	yes	characteristic, complemented
43	C₂×#4144	C₂²	1	3	yes	complemented
44	C₂×#4144	C₂²	1	6	yes	complemented
45	C₂²×#711	C₂²	1	3	yes	complemented
46	C₂²×D₄×D₅	C₂²	1	3	yes	complemented
47	C₂²×D₄×D₅	C₂²	1	3	yes	complemented
48	C₂²×D₄×D₅	C₂²	1	6	yes	complemented
49	C₂²×D₄×D₅	C₂²	1	6	yes	complemented
50	C₂²×#709	C₂²	1	3	yes	complemented
51	C₂³×C₄×D₅	C₂²	1	3	yes	complemented
52	C₅×#550	C₂²	1	2	yes	complemented
53	C₅×#548	C₂²	1	2	yes	complemented
54	C₅×#546	C₂²	1	6	yes	complemented
55	C₅×D₄²	C₂²	1	6	yes	complemented
56	C₅×#537	C₂²	1	3	yes	complemented
57	C₅×#535	C₂²	1	3	yes	complemented
58	C₅×#525	C₂²	1	3	yes	complemented
59	C₂×C₅×#121	C₂²	1	3	yes	complemented
60	C₅×#520	C₂²	1	1	yes	characteristic, complemented
61	#66168	C₂²	1	2	yes	complemented
62	#66168	C₂²	1	2	yes	complemented
63	#66167	C₂²	1	3	yes	complemented
64	#66167	C₂²	1	3	yes	complemented
65	#66165	C₂²	1	2	yes	complemented
66	#66164	C₂²	1	3	yes	complemented
67	#66163	C₂²	1	6	yes	complemented
68	#66162	C₂²	1	3	yes	complemented
69	#66161	C₂²	1	1	yes	characteristic, complemented
70	#66151	C₂²	1	2	yes	complemented
71	#66140	C₂²	1	6	yes	complemented
72	#66139	C₂²	1	3	yes	complemented
73	C₂×#4085	C₂²	1	6	yes	complemented
74	D₄×C₂²⋊D₅	C₂²	1	6	yes	complemented
75	D₄×C₂²⋊D₅	C₂²	1	6	yes	complemented
76	D₄×C₂²⋊D₅	C₂²	1	12	yes	complemented
77	C₂×#4084	C₂²	1	3	yes	complemented
78	#66125	C₂²	1	3	yes	complemented
79	C₂×#4076	C₂²	1	3	yes	complemented
80	#66052	C₂²	1	6	yes	complemented
81	#66051	C₂²	1	6	yes	complemented
82	#66049	C₂²	1	6	yes	complemented
83	D₅×#127	C₂²	1	6	yes	complemented
84	#66011	C₂²	1	6	yes	complemented
85	#66010	C₂²	1	6	yes	complemented
86	#66008	C₂²	1	6	yes	complemented
87	D₅×#124	C₂²	1	6	yes	complemented
88	#65990	C₂²	1	6	yes	complemented
89	#65988	C₂²	1	12	yes	complemented
90	D₅×#123	C₂²	1	6	yes	complemented
91	#65967	C₂²	1	6	yes	complemented
92	#65964	C₂²	1	6	yes	complemented
93	#65963	C₂²	1	6	yes	complemented
94	#65963	C₂²	1	6	yes	complemented
95	#65961	C₂²	1	3	yes	complemented
96	#65961	C₂²	1	3	yes	complemented
97	D₅×C₂²⋊Q₈	C₂²	1	6	yes	complemented
98	D₅×C₂²⋊Q₈	C₂²	1	1	yes	characteristic, complemented
99	D₅×C₂²⋊Q₈	C₂²	1	3	yes	complemented
100	#65946	C₂²	1	6	yes	complemented
101	#65944	C₂²	1	12	yes	complemented
102	#65943	C₂²	1	6	yes	complemented
103	#65943	C₂²	1	12	yes	complemented
104	#65943	C₂²	1	6	yes	complemented
105	#65942	C₂²	1	6	yes	complemented
106	#65942	C₂²	1	6	yes	complemented
107	#65941	C₂²	1	6	yes	complemented
108	#65941	C₂²	1	6	yes	complemented
109	#65940	C₂²	1	3	yes	complemented
110	#65940	C₂²	1	3	yes	complemented
111	D₅×#121	C₂²	1	6	yes	complemented
112	D₅×#121	C₂²	1	6	yes	complemented
113	D₅×#121	C₂²	1	6	yes	complemented
114	D₅×#121	C₂²	1	3	yes	complemented
115	D₅×#121	C₂²	1	3	yes	complemented
116	D₅×#121	C₂²	1	6	yes	complemented
117	D₅×#121	C₂²	1	12	yes	complemented
118	D₅×#121	C₂²	1	6	yes	complemented
119	D₅×#121	C₂²	1	6	yes	complemented
120	D₅×#121	C₂²	1	6	yes	complemented
121	D₅×#121	C₂²	1	6	yes	complemented
122	#65933	C₂²	1	6	yes	complemented
123	#65933	C₂²	1	6	yes	complemented
124	#65932	C₂²	1	6	yes	complemented
125	#65931	C₂²	1	12	yes	complemented
126	#65926	C₂²	1	12	yes	complemented
127	#65925	C₂²	1	12	yes	complemented
128	#65924	C₂²	1	12	yes	complemented
129	#65924	C₂²	1	12	yes	complemented
130	D₅×#120	C₂²	1	6	yes	complemented
131	D₅×#120	C₂²	1	12	yes	complemented
132	#65920	C₂²	1	6	yes	complemented
133	#65911	C₂²	1	2	yes	complemented
134	#65910	C₂²	1	2	yes	complemented
135	#65908	C₂²	1	2	yes	complemented
136	C₄×Q₈×D₅	C₂²	1	2	yes	complemented
137	#65888	C₂²	1	6	yes	complemented
138	#65887	C₂²	1	6	yes	complemented
139	#65886	C₂²	1	6	yes	complemented
140	#65884	C₂²	1	6	yes	complemented
141	D₄×D₂₀	C₂²	1	6	yes	complemented
142	D₄×D₂₀	C₂²	1	6	yes	complemented
143	#65881	C₂²	1	6	yes	complemented
144	#65881	C₂²	1	6	yes	complemented
145	#65880	C₂²	1	6	yes	complemented
146	C₄×D₄×D₅	C₂²	1	6	yes	complemented
147	C₄×D₄×D₅	C₂²	1	6	yes	complemented
148	C₄×D₄×D₅	C₂²	1	6	yes	complemented
149	#65859	C₂²	1	3	yes	complemented
150	#65858	C₂²	1	3	yes	complemented
151	#65857	C₂²	1	3	yes	complemented
152	D₅×#117	C₂²	1	3	yes	complemented
153	#65844	C₂²	1	3	yes	complemented
154	C₂×#4041	C₂²	1	3	yes	complemented
155	#65838	C₂²	1	3	yes	complemented
156	C₂×D₅×C₄⋊C₄	C₂²	1	3	yes	complemented
157	#65824	C₂²	1	12	yes	complemented
158	C₂×#4030	C₂²	1	6	yes	complemented
159	C₂×D₅×C₂²⋊C₄	C₂²	1	6	yes	complemented
160	C₂×#3488	—	5	1	no	maximal, Sylow
161	C₂⁴×D₅	C₂³	1	3	yes	—
162	C₂⁴×D₅	C₂³	1	6	yes	—
163	C₅×H(5,𝔽₂)	—	2	8	no	—
164	C₂×C₅×#41	—	2	8	no	—
165	C₂×C₅×#41	C₂³	1	1	yes	characteristic
166	C₂×C₅×#41	C₂³	1	3	yes	complemented
167	C₂×C₅×#41	C₂³	1	3	yes	complemented
168	C₂×C₅×#41	C₂³	1	3	yes	complemented
169	C₂×C₅×#41	C₂³	1	2	yes	complemented
170	C₂×C₅×#41	C₂³	1	1	yes	characteristic, complemented
171	C₂²×C₅×Q₈	C₂³	1	1	yes	characteristic, complemented
172	C₂²×C₅×D₄	C₂³	1	3	yes	complemented
173	C₂²×C₅×D₄	C₂³	1	3	yes	complemented
174	C₂²×C₅×D₄	C₂³	1	6	yes	complemented
175	C₂²×C₅×D₄	C₂³	1	6	yes	complemented
176	C₂³×C₄×C₅	C₂³	1	3	yes	complemented
177	C₂²×C₂²⋊D₅	C₂³	1	6	yes	complemented
178	C₂²×C₂²⋊D₅	C₂³	1	12	yes	complemented
179	C₂²×C₂²⋊D₅	C₂³	1	6	yes	complemented
180	C₂²×C₂²⋊D₅	C₂³	1	6	yes	complemented
181	C₂²×C₂²⋊D₅	C₂³	1	6	yes	complemented
182	C₂³×Dic₅	C₂³	1	3	yes	complemented
183	#4149	—	2	8	no	—
184	#4149	—	2	16	no	—
185	#4149	—	2	24	no	—
186	D₅×#41	—	2	8	no	—
187	D₅×#41	—	2	8	no	—
188	D₅×#41	—	2	8	no	—
189	D₅×#41	—	2	16	no	—
190	D₅×#41	—	2	24	no	—
191	D₅×#41	—	2	24	no	—
192	D₅×#41	—	2	24	no	—
193	D₅×#41	—	2	24	no	—
194	D₅×#41	—	2	24	no	—
195	D₅×#41	D₄	1	16	yes	complemented
196	C₂×#713	—	2	8	no	—
197	C₂×#713	C₂³	1	1	yes	characteristic
198	C₂×#713	C₂³	1	2	yes	complemented
199	C₂×#713	C₂³	1	1	yes	characteristic, complemented
200	C₂×#713	C₂³	1	3	yes	complemented
201	C₂×#713	C₂³	1	3	yes	complemented
202	C₂×#713	C₂³	1	3	yes	complemented
203	C₂×Q₈×D₅	—	2	8	no	—
204	C₂×Q₈×D₅	C₂³	1	1	yes	characteristic
205	C₂×Q₈×D₅	C₂³	1	3	yes	—
206	C₂×Q₈×D₅	C₂³	1	1	yes	characteristic
207	C₂×Q₈×D₅	C₂³	1	1	yes	characteristic, complemented
208	C₂×Q₈×D₅	C₂³	1	3	yes	complemented
209	#4144	—	2	48	no	—
210	#4144	—	2	24	no	—
211	C₂×#711	—	2	24	no	—
212	C₂×#711	C₂³	1	3	yes	—
213	C₂×#711	C₂³	1	3	yes	complemented
214	C₂×#711	C₂³	1	3	yes	complemented
215	C₂×#711	C₂³	1	6	yes	complemented
216	C₂×#711	C₂³	1	3	yes	complemented
217	C₂×#711	C₂³	1	6	yes	complemented
218	C₂×#711	C₂³	1	6	yes	complemented
219	C₂×#711	C₂³	1	6	yes	complemented
220	C₂×#711	C₂³	1	3	yes	complemented
221	C₂×D₄×D₅	—	2	24	no	—
222	C₂×D₄×D₅	—	2	48	no	—
223	C₂×D₄×D₅	—	2	24	no	—
224	C₂×D₄×D₅	—	4	24	no	—
225	C₂×D₄×D₅	C₂³	1	3	yes	—
226	C₂×D₄×D₅	C₂³	1	6	yes	—
227	C₂×D₄×D₅	C₂³	1	6	yes	—
228	C₂×D₄×D₅	C₂³	1	6	yes	—
229	C₂×D₄×D₅	C₂³	1	6	yes	—
230	C₂×D₄×D₅	C₂³	1	3	yes	—
231	C₂×D₄×D₅	C₂³	1	6	yes	—
232	C₂×D₄×D₅	C₂³	1	12	yes	—
233	C₂×D₄×D₅	C₂³	1	3	yes	—
234	C₂×D₄×D₅	C₂³	1	6	yes	complemented
235	C₂×D₄×D₅	C₂³	1	3	yes	complemented
236	C₂×D₄×D₅	C₂³	1	6	yes	complemented
237	C₂×D₄×D₅	C₂³	1	3	yes	complemented
238	C₂×D₄×D₅	C₂³	1	6	yes	complemented
239	C₂×D₄×D₅	C₂³	1	6	yes	complemented
240	C₂×D₄×D₅	C₂³	1	12	yes	complemented
241	C₂×D₄×D₅	C₂³	1	6	yes	complemented
242	C₂×D₄×D₅	C₂³	1	12	yes	complemented
243	C₂×D₄×D₅	C₂³	1	12	yes	complemented
244	C₂×#709	—	2	24	no	—
245	C₂×#709	C₂³	1	3	yes	—
246	C₂×#709	C₂³	1	6	yes	complemented
247	C₂×#709	C₂³	1	3	yes	complemented
248	C₂×#709	C₂³	1	3	yes	complemented
249	C₂×#709	C₂³	1	6	yes	complemented
250	C₂×#709	C₂³	1	3	yes	complemented
251	C₂×#709	C₂³	1	6	yes	complemented
252	C₂×#709	C₂³	1	3	yes	complemented
253	C₂×#709	C₂³	1	6	yes	complemented
254	C₂²×D₂₀	C₂³	1	3	yes	complemented
255	C₂²×D₂₀	C₂³	1	3	yes	complemented
256	C₂²×D₂₀	C₂³	1	6	yes	complemented
257	C₂²×D₂₀	C₂³	1	6	yes	complemented
258	C₂²×C₄×D₅	—	2	24	no	—
259	C₂²×C₄×D₅	C₂³	1	3	yes	—
260	C₂²×C₄×D₅	C₂³	1	3	yes	—
261	C₂²×C₄×D₅	C₂³	1	3	yes	—
262	C₂²×C₄×D₅	C₂³	1	6	yes	—
263	C₂²×C₄×D₅	C₂³	1	1	yes	characteristic
264	C₂²×C₄×D₅	C₂³	1	3	yes	—
265	C₂²×C₄×D₅	C₂³	1	6	yes	—
266	C₂²×C₄×D₅	C₂³	1	3	yes	—
267	C₂²×C₄×D₅	C₂³	1	3	yes	complemented
268	C₂²×C₄×D₅	C₂³	1	3	yes	complemented
269	C₂²×C₄×D₅	C₂³	1	3	yes	complemented
270	C₂²×C₄×D₅	C₂³	1	3	yes	complemented
271	C₂²×C₄×D₅	C₂³	1	3	yes	complemented
272	C₂²×C₄×D₅	C₂³	1	3	yes	complemented
273	C₂²×Dic₁₀	C₂³	1	3	yes	complemented
274	C₅×#127	C₂³	1	6	yes	complemented
275	C₅×#124	C₂³	1	6	yes	complemented
276	C₅×#123	C₂³	1	6	yes	complemented
277	C₅×C₂²⋊Q₈	C₂³	1	1	yes	characteristic, complemented
278	C₅×C₂²⋊Q₈	C₂³	1	3	yes	complemented
279	C₅×C₂²⋊Q₈	C₂³	1	6	yes	complemented
280	C₅×#121	C₂³	1	3	yes	complemented
281	C₅×#121	C₂³	1	6	yes	complemented
282	C₅×#121	C₂³	1	6	yes	complemented
283	C₅×#121	C₂³	1	6	yes	complemented
284	C₅×#121	C₂³	1	12	yes	complemented
285	C₅×#121	C₂³	1	6	yes	complemented
286	C₅×#121	C₂³	1	3	yes	complemented
287	C₅×#120	C₂³	1	6	yes	complemented
288	C₅×#120	C₂³	1	12	yes	complemented
289	C₄×C₅×Q₈	C₂³	1	2	yes	complemented
290	C₄×C₅×D₄	C₂³	1	6	yes	complemented
291	C₄×C₅×D₄	C₂³	1	6	yes	complemented
292	C₄×C₅×D₄	C₂³	1	6	yes	complemented
293	C₅×#117	C₂³	1	3	yes	complemented
294	C₂×C₅×C₄⋊C₄	C₂³	1	3	yes	complemented
295	C₂×C₅×C₂²⋊C₄	C₂³	1	6	yes	complemented
296	#4099	C₂³	1	12	yes	complemented
297	#4099	C₂³	1	6	yes	complemented
298	C₂×C₂²⋊Dic₅	C₂³	1	6	yes	complemented
299	#4093	C₂³	1	6	yes	complemented
300	#4092	C₂³	1	6	yes	complemented
301	#4092	C₂³	1	1	yes	characteristic, complemented
302	#4092	C₂³	1	3	yes	complemented
303	Q₈×Dic₅	C₂³	1	2	yes	complemented
304	#4086	C₂³	1	6	yes	complemented
305	#4086	C₂³	1	12	yes	complemented
306	#4086	C₂³	1	6	yes	complemented
307	#4086	C₂³	1	12	yes	complemented
308	#4085	C₂³	1	6	yes	complemented
309	#4085	C₂³	1	12	yes	complemented
310	#4085	C₂³	1	12	yes	complemented
311	#4085	C₂³	1	12	yes	complemented
312	#4085	C₂³	1	12	yes	complemented
313	#4085	C₂³	1	12	yes	complemented
314	#4085	C₂³	1	12	yes	complemented
315	#4085	C₂³	1	6	yes	complemented
316	#4084	C₂³	1	6	yes	complemented
317	#4084	C₂³	1	6	yes	complemented
318	#4084	C₂³	1	12	yes	complemented
319	#4084	C₂³	1	6	yes	complemented
320	#4084	C₂³	1	3	yes	complemented
321	#4084	C₂³	1	6	yes	complemented
322	#4084	C₂³	1	3	yes	complemented
323	#4083	C₂³	1	12	yes	complemented
324	#4083	C₂³	1	12	yes	complemented
325	#4083	C₂³	1	6	yes	complemented
326	#4083	C₂³	1	6	yes	complemented
327	#4083	C₂³	1	6	yes	complemented
328	#4083	C₂³	1	12	yes	complemented
329	#4082	C₂³	1	6	yes	complemented
330	#4081	C₂³	1	6	yes	complemented
331	D₄×Dic₅	C₂³	1	6	yes	complemented
332	D₄×Dic₅	C₂³	1	6	yes	complemented
333	D₄×Dic₅	C₂³	1	6	yes	complemented
334	#4076	C₂³	1	12	yes	complemented
335	#4076	C₂³	1	3	yes	complemented
336	#4076	C₂³	1	6	yes	complemented
337	#4076	C₂³	1	6	yes	complemented
338	#4076	C₂³	1	6	yes	complemented
339	#4076	C₂³	1	3	yes	complemented
340	#4076	C₂³	1	6	yes	complemented
341	#4075	C₂³	1	6	yes	complemented
342	C₄×C₂²⋊D₅	C₂³	1	12	yes	complemented
343	C₄×C₂²⋊D₅	C₂³	1	6	yes	complemented
344	C₄×C₂²⋊D₅	C₂³	1	6	yes	complemented
345	C₄×C₂²⋊D₅	C₂³	1	6	yes	complemented
346	C₄×C₂²⋊D₅	C₂³	1	6	yes	complemented
347	C₂×#685	C₂³	1	6	yes	complemented
348	C₂×#685	C₂³	1	6	yes	complemented
349	#4072	C₂³	1	3	yes	complemented
350	C₂×C₄⋊Dic₅	C₂³	1	3	yes	complemented
351	#4070	C₂³	1	1	yes	characteristic, complemented
352	#4070	C₂³	1	3	yes	complemented
353	#4070	C₂³	1	6	yes	complemented
354	C₂×#683	C₂³	1	6	yes	complemented
355	#4043	C₂³	1	3	yes	complemented
356	#4043	C₂³	1	6	yes	complemented
357	#4043	C₂³	1	1	yes	characteristic, complemented
358	#4042	C₂³	1	2	yes	complemented
359	#4042	C₂³	1	6	yes	complemented
360	#4042	C₂³	1	12	yes	complemented
361	#4041	C₂³	1	3	yes	complemented
362	#4041	C₂³	1	6	yes	complemented
363	#4041	C₂³	1	6	yes	complemented
364	#4041	C₂³	1	6	yes	complemented
365	#4041	C₂³	1	6	yes	complemented
366	#4041	C₂³	1	3	yes	complemented
367	#4041	C₂³	1	12	yes	complemented
368	#4040	C₂³	1	6	yes	complemented
369	#4040	C₂³	1	6	yes	complemented
370	#4039	C₂³	1	6	yes	complemented
371	#4039	C₂³	1	6	yes	complemented
372	#4039	C₂³	1	6	yes	complemented
373	#4038	C₂³	1	3	yes	complemented
374	#4038	C₂³	1	3	yes	complemented
375	D₅×C₄⋊C₄	C₂³	1	3	yes	—
376	D₅×C₄⋊C₄	C₂³	1	6	yes	—
377	D₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
378	D₅×C₄⋊C₄	C₂³	1	2	yes	—
379	D₅×C₄⋊C₄	C₂³	1	6	yes	—
380	D₅×C₄⋊C₄	C₂³	1	6	yes	complemented
381	D₅×C₄⋊C₄	C₂³	1	6	yes	complemented
382	#4033	C₂³	1	6	yes	complemented
383	#4032	C₂³	1	6	yes	complemented
384	#4031	C₂³	1	12	yes	complemented
385	#4031	C₂³	1	12	yes	complemented
386	#4030	C₂³	1	6	yes	complemented
387	#4030	C₂³	1	12	yes	complemented
388	#4030	C₂³	1	12	yes	complemented
389	#4030	C₂³	1	12	yes	complemented
390	#4030	C₂³	1	12	yes	complemented
391	#4030	C₂³	1	6	yes	complemented
392	#4030	C₂³	1	12	yes	complemented
393	#4030	C₂³	1	12	yes	complemented
394	#4029	C₂³	1	6	yes	complemented
395	#4029	C₂³	1	6	yes	complemented
396	#4028	C₂³	1	12	yes	complemented
397	#4028	C₂³	1	6	yes	complemented
398	#4028	C₂³	1	12	yes	complemented
399	#4028	C₂³	1	6	yes	complemented
400	#4028	C₂³	1	6	yes	complemented
401	#4028	C₂³	1	12	yes	complemented
402	#4027	C₂³	1	6	yes	complemented
403	#4027	C₂³	1	12	yes	complemented
404	#4027	C₂³	1	6	yes	complemented
405	#4027	C₂³	1	6	yes	complemented
406	#4027	C₂³	1	6	yes	complemented
407	D₅×C₂²⋊C₄	C₂³	1	6	yes	—
408	D₅×C₂²⋊C₄	C₂³	1	12	yes	—
409	D₅×C₂²⋊C₄	C₂³	1	6	yes	—
410	D₅×C₂²⋊C₄	C₂³	1	2	yes	—
411	D₅×C₂²⋊C₄	C₂³	1	6	yes	—
412	D₅×C₂²⋊C₄	C₂³	1	6	yes	—
413	D₅×C₂²⋊C₄	C₂³	1	12	yes	complemented
414	D₅×C₂²⋊C₄	C₂³	1	12	yes	complemented
415	#4024	C₂³	1	12	yes	complemented
416	#4024	C₂³	1	2	yes	complemented
417	#4024	C₂³	1	6	yes	complemented
418	#4023	C₂³	1	6	yes	complemented
419	#4021	C₂³	1	6	yes	complemented
420	#4020	C₂³	1	6	yes	complemented
421	C₄×D₂₀	C₂³	1	6	yes	complemented
422	C₄×D₂₀	C₂³	1	6	yes	complemented
423	C₄×D₂₀	C₂³	1	6	yes	complemented
424	#4018	C₂³	1	6	yes	complemented
425	C₄²×D₅	C₂³	1	6	yes	—
426	C₄×Dic₁₀	C₂³	1	6	yes	complemented
427	C₂²×H(5,𝔽₂)	—	5	1	no	—
428	C₂³×#41	—	5	1	no	—
429	#3488	—	5	1	no	—
430	#3488	—	5	1	no	—
431	#3488	—	5	2	no	—
432	#3488	—	5	2	no	—
433	#3488	—	5	6	no	—
434	#3488	—	5	6	no	—
435	#3488	—	5	3	no	—
436	#3488	—	5	3	no	—
437	#3488	—	5	3	no	—
438	#3488	—	5	3	no	—
439	#3488	—	5	1	no	—
440	#3488	D₅	1	1	yes	characteristic, direct product factor
441	C₂×#550	—	5	2	no	—
442	C₂×#548	—	5	2	no	—
443	C₂×#546	—	5	6	no	—
444	C₂×D₄²	—	5	6	no	—
445	C₂×#537	—	5	3	no	—
446	C₂×#535	—	5	3	no	—
447	C₂×#525	—	5	3	no	—
448	C₂²×#121	—	5	3	no	—
449	C₂×#520	—	5	1	no	—
450	C₂⁴×C₅	C₂⁴	1	3	yes	—
451	C₂⁴×C₅	C₂⁴	1	6	yes	—
452	C₂³×D₅	—	2	12	no	—
453	C₂³×D₅	—	2	12	no	—
454	C₂³×D₅	—	2	24	no	—
455	C₂³×D₅	—	4	6	no	—
456	C₂³×D₅	—	4	12	no	—
457	C₂³×D₅	—	4	12	no	—
458	C₂³×D₅	C₂⁴	1	3	yes	—
459	C₂³×D₅	C₂⁴	1	6	yes	—
460	C₂³×D₅	C₂⁴	1	3	yes	—
461	C₂³×D₅	C₂⁴	1	3	yes	—
462	C₂³×D₅	C₂⁴	1	3	yes	—
463	C₂³×D₅	C₂⁴	1	3	yes	—
464	C₂³×D₅	C₂⁴	1	1	yes	characteristic
465	C₂³×D₅	C₂⁴	1	6	yes	—
466	C₂³×D₅	C₂⁴	1	12	yes	—
467	C₅×#41	—	2	4	no	—
468	C₅×#41	—	2	8	no	—
469	C₅×#41	—	2	12	no	—
470	C₅×#41	—	2	12	no	—
471	C₅×#41	—	2	12	no	—
472	C₅×#41	C₂×D₄	1	8	yes	complemented
473	C₂×C₅×Q₈	—	2	4	no	—
474	C₂×C₅×Q₈	C₂⁴	1	1	yes	characteristic
475	C₂×C₅×Q₈	C₂⁴	1	3	yes	—
476	C₂×C₅×Q₈	C₂⁴	1	1	yes	characteristic
477	C₂×C₅×D₄	—	2	12	no	—
478	C₂×C₅×D₄	—	2	24	no	—
479	C₂×C₅×D₄	—	2	12	no	—
480	C₂×C₅×D₄	—	4	12	no	—
481	C₂×C₅×D₄	C₂⁴	1	6	yes	—
482	C₂×C₅×D₄	C₂⁴	1	6	yes	—
483	C₂×C₅×D₄	C₂⁴	1	6	yes	—
484	C₂×C₅×D₄	C₂⁴	1	3	yes	—
485	C₂×C₅×D₄	C₂⁴	1	6	yes	—
486	C₂×C₅×D₄	C₂⁴	1	3	yes	—
487	C₂×C₅×D₄	C₂⁴	1	6	yes	—
488	C₂×C₅×D₄	C₂⁴	1	12	yes	—
489	C₂×C₅×D₄	C₂⁴	1	3	yes	—
490	C₂²×C₄×C₅	—	2	12	no	—
491	C₂²×C₄×C₅	C₂⁴	1	3	yes	—
492	C₂²×C₄×C₅	C₂⁴	1	3	yes	—
493	C₂²×C₄×C₅	C₂⁴	1	3	yes	—
494	C₂²×C₄×C₅	C₂⁴	1	6	yes	—
495	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
496	C₂²×C₄×C₅	C₂⁴	1	3	yes	—
497	C₂²×C₄×C₅	C₂⁴	1	6	yes	—
498	C₂²×C₄×C₅	C₂⁴	1	3	yes	—
499	C₂×C₂²⋊D₅	—	2	24	no	—
500	C₂×C₂²⋊D₅	—	2	48	no	—
501	C₂×C₂²⋊D₅	—	2	24	no	—
502	C₂×C₂²⋊D₅	—	4	12	no	—
503	C₂×C₂²⋊D₅	—	4	12	no	—
504	C₂×C₂²⋊D₅	C₂⁴	1	6	yes	—
505	C₂×C₂²⋊D₅	C₂⁴	1	6	yes	—
506	C₂×C₂²⋊D₅	C₂⁴	1	6	yes	—
507	C₂×C₂²⋊D₅	C₂⁴	1	6	yes	—
508	C₂×C₂²⋊D₅	C₂⁴	1	6	yes	—
509	C₂×C₂²⋊D₅	C₂⁴	1	6	yes	—
510	C₂×C₂²⋊D₅	C₂⁴	1	6	yes	—
511	C₂×C₂²⋊D₅	C₂⁴	1	12	yes	—
512	C₂×C₂²⋊D₅	C₂⁴	1	6	yes	—
513	C₂×C₂²⋊D₅	C₂⁴	1	6	yes	—
514	C₂×C₂²⋊D₅	C₂⁴	1	12	yes	—
515	C₂×C₂²⋊D₅	C₂⁴	1	6	yes	—
516	C₂×C₂²⋊D₅	C₂⁴	1	12	yes	—
517	C₂×C₂²⋊D₅	C₂⁴	1	6	yes	—
518	C₂²×Dic₅	—	2	12	no	—
519	C₂²×Dic₅	C₂⁴	1	3	yes	—
520	C₂²×Dic₅	C₂⁴	1	3	yes	—
521	C₂²×Dic₅	C₂⁴	1	1	yes	characteristic
522	C₂²×Dic₅	C₂⁴	1	3	yes	—
523	C₂²×Dic₅	C₂⁴	1	3	yes	—
524	C₂²×Dic₅	C₂⁴	1	6	yes	—
525	C₂²×Dic₅	C₂⁴	1	6	yes	—
526	C₂²×Dic₅	C₂⁴	1	3	yes	—
527	#713	—	2	4	no	—
528	#713	—	2	8	no	—
529	#713	—	2	12	no	—
530	#713	—	2	12	no	—
531	#713	—	2	12	no	—
532	#713	C₂×D₄	1	8	yes	complemented
533	Q₈×D₅	—	2	4	no	—
534	Q₈×D₅	—	2	12	no	—
535	Q₈×D₅	—	2	4	no	—
536	Q₈×D₅	—	2	12	no	—
537	Q₈×D₅	C₂×D₄	1	8	yes	complemented
538	#711	—	2	12	no	—
539	#711	—	2	24	no	—
540	#711	—	2	24	no	—
541	#711	—	2	24	no	—
542	#711	—	2	12	no	—
543	#711	—	2	12	no	—
544	#711	—	2	12	no	—
545	#711	—	2	24	no	—
546	#711	C₂×D₄	1	24	yes	complemented
547	D₄×D₅	—	2	24	no	—
548	D₄×D₅	—	2	24	no	—
549	D₄×D₅	—	2	24	no	—
550	D₄×D₅	—	2	24	no	—
551	D₄×D₅	—	2	12	no	—
552	D₄×D₅	—	2	48	no	—
553	D₄×D₅	—	2	24	no	—
554	D₄×D₅	—	2	24	no	—
555	D₄×D₅	—	2	12	no	—
556	D₄×D₅	—	2	12	no	—
557	D₄×D₅	—	2	24	no	—
558	D₄×D₅	—	2	12	no	—
559	D₄×D₅	—	2	24	no	—
560	D₄×D₅	—	2	24	no	—
561	D₄×D₅	—	4	24	no	—
562	D₄×D₅	—	4	12	no	—
563	D₄×D₅	—	4	24	no	—
564	D₄×D₅	—	4	24	no	—
565	D₄×D₅	C₂×D₄	1	24	yes	complemented
566	#709	—	2	12	no	—
567	#709	—	2	12	no	—
568	#709	—	2	24	no	—
569	#709	—	2	12	no	—
570	#709	—	2	24	no	—
571	#709	—	2	24	no	—
572	#709	—	2	12	no	—
573	#709	—	2	24	no	—
574	#709	C₂×D₄	1	24	yes	complemented
575	C₂×D₂₀	—	2	12	no	—
576	C₂×D₂₀	—	2	12	no	—
577	C₂×D₂₀	—	2	24	no	—
578	C₂×D₂₀	—	4	12	no	—
579	C₂×D₂₀	C₂⁴	1	6	yes	—
580	C₂×D₂₀	C₂⁴	1	6	yes	—
581	C₂×D₂₀	C₂⁴	1	3	yes	—
582	C₂×D₂₀	C₂⁴	1	6	yes	—
583	C₂×D₂₀	C₂⁴	1	3	yes	—
584	C₂×D₂₀	C₂⁴	1	6	yes	—
585	C₂×D₂₀	C₂⁴	1	12	yes	—
586	C₂×D₂₀	C₂⁴	1	6	yes	—
587	C₂×D₂₀	C₂⁴	1	3	yes	—
588	C₂×C₄×D₅	—	2	12	no	—
589	C₂×C₄×D₅	—	2	12	no	—
590	C₂×C₄×D₅	—	2	12	no	—
591	C₂×C₄×D₅	—	2	4	no	—
592	C₂×C₄×D₅	—	2	12	no	—
593	C₂×C₄×D₅	—	2	12	no	—
594	C₂×C₄×D₅	—	2	12	no	—
595	C₂×C₄×D₅	—	2	24	no	—
596	C₂×C₄×D₅	—	2	12	no	—
597	C₂×C₄×D₅	—	2	12	no	—
598	C₂×C₄×D₅	—	2	12	no	—
599	C₂×C₄×D₅	—	2	12	no	—
600	C₂×C₄×D₅	—	4	12	no	—
601	C₂×C₄×D₅	C₂×D₄	1	24	yes	complemented
602	C₂×C₄×D₅	C₂⁴	1	1	yes	characteristic
603	C₂×C₄×D₅	C₂⁴	1	2	yes	—
604	C₂×C₄×D₅	C₂⁴	1	3	yes	—
605	C₂×C₄×D₅	C₂⁴	1	6	yes	—
606	C₂×C₄×D₅	C₂⁴	1	1	yes	characteristic
607	C₂×C₄×D₅	C₂⁴	1	1	yes	characteristic
608	C₂×C₄×D₅	C₂⁴	1	3	yes	—
609	C₂×C₄×D₅	C₂⁴	1	3	yes	—
610	C₂×C₄×D₅	C₂⁴	1	3	yes	—
611	C₂×C₄×D₅	C₂⁴	1	3	yes	—
612	C₂×C₄×D₅	C₂⁴	1	3	yes	—
613	C₂×C₄×D₅	C₂⁴	1	3	yes	—
614	C₂×C₄×D₅	C₂⁴	1	3	yes	—
615	C₂×C₄×D₅	C₂⁴	1	3	yes	—
616	C₂×C₄×D₅	C₂⁴	1	6	yes	—
617	C₂×C₄×D₅	C₂⁴	1	6	yes	—
618	C₂×C₄×D₅	C₂⁴	1	2	yes	—
619	C₂×C₄×D₅	C₂⁴	1	12	yes	—
620	C₂×C₄×D₅	C₂⁴	1	1	yes	characteristic
621	C₂×C₄×D₅	C₂⁴	1	3	yes	—
622	C₂×C₄×D₅	C₂⁴	1	3	yes	—
623	C₂×C₄×D₅	C₂⁴	1	3	yes	—
624	C₂×Dic₁₀	—	2	12	no	—
625	C₂×Dic₁₀	C₂⁴	1	3	yes	—
626	C₂×Dic₁₀	C₂⁴	1	6	yes	—
627	C₂×Dic₁₀	C₂⁴	1	2	yes	—
628	C₂×Dic₁₀	C₂⁴	1	1	yes	characteristic
629	C₂×Dic₁₀	C₂⁴	1	3	yes	—
630	C₅×C₄⋊C₄	C₂⁴	1	3	yes	—
631	C₅×C₄⋊C₄	C₂⁴	1	6	yes	—
632	C₅×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
633	C₅×C₄⋊C₄	C₂⁴	1	2	yes	—
634	C₅×C₄⋊C₄	C₂⁴	1	6	yes	—
635	C₅×C₂²⋊C₄	C₂⁴	1	6	yes	—
636	C₅×C₂²⋊C₄	C₂⁴	1	12	yes	—
637	C₅×C₂²⋊C₄	C₂⁴	1	6	yes	—
638	C₅×C₂²⋊C₄	C₂⁴	1	2	yes	—
639	C₅×C₂²⋊C₄	C₂⁴	1	6	yes	—
640	C₅×C₂²⋊C₄	C₂⁴	1	6	yes	—
641	C₄²×C₅	C₂⁴	1	6	yes	—
642	C₂²⋊Dic₅	C₂⁴	1	6	yes	—
643	C₂²⋊Dic₅	C₂⁴	1	12	yes	—
644	C₂²⋊Dic₅	C₂⁴	1	6	yes	—
645	C₂²⋊Dic₅	C₂⁴	1	2	yes	—
646	C₂²⋊Dic₅	C₂⁴	1	6	yes	—
647	C₂²⋊Dic₅	C₂⁴	1	6	yes	—
648	#685	C₂⁴	1	6	yes	—
649	#685	C₂⁴	1	6	yes	—
650	#685	C₂⁴	1	2	yes	—
651	#685	C₂⁴	1	6	yes	—
652	#685	C₂⁴	1	6	yes	—
653	#685	C₂⁴	1	6	yes	—
654	#685	C₂⁴	1	12	yes	—
655	#685	C₂⁴	1	6	yes	—
656	#685	C₂⁴	1	12	yes	—
657	#685	C₂⁴	1	2	yes	—
658	#685	C₂⁴	1	6	yes	—
659	#685	C₂⁴	1	6	yes	—
660	C₄⋊Dic₅	C₂⁴	1	6	yes	—
661	C₄⋊Dic₅	C₂⁴	1	2	yes	—
662	C₄⋊Dic₅	C₂⁴	1	6	yes	—
663	C₄⋊Dic₅	C₂⁴	1	3	yes	—
664	C₄⋊Dic₅	C₂⁴	1	1	yes	characteristic
665	#683	C₂⁴	1	12	yes	—
666	#683	C₂⁴	1	2	yes	—
667	#683	C₂⁴	1	6	yes	—
668	#683	C₂⁴	1	6	yes	—
669	#683	C₂⁴	1	2	yes	—
670	#683	C₂⁴	1	6	yes	—
671	#683	C₂⁴	1	2	yes	—
672	C₄×Dic₅	C₂⁴	1	6	yes	—
673	C₄×Dic₅	C₂⁴	1	6	yes	—
674	C₄×Dic₅	C₂⁴	1	6	yes	—
675	C₂×H(5,𝔽₂)	—	5	1	no	—
676	C₂×H(5,𝔽₂)	—	5	2	no	—
677	C₂×H(5,𝔽₂)	—	5	3	no	—
678	C₂×H(5,𝔽₂)	—	5	6	no	—
679	C₂×H(5,𝔽₂)	—	5	3	no	—
680	C₂×H(5,𝔽₂)	—	10	16	no	—
681	C₂×H(5,𝔽₂)	C₂×D₅	1	1	yes	characteristic, complemented
682	C₂²×#41	—	5	1	no	—
683	C₂²×#41	—	5	1	no	—
684	C₂²×#41	—	5	3	no	—
685	C₂²×#41	—	5	3	no	—
686	C₂²×#41	—	5	1	no	—
687	C₂²×#41	—	5	1	no	—
688	C₂²×#41	—	5	3	no	—
689	C₂²×#41	—	5	3	no	—
690	C₂²×#41	—	5	3	no	—
691	C₂²×#41	—	5	2	no	—
692	C₂²×#41	—	5	1	no	—
693	C₂²×#41	—	5	3	no	—
694	C₂²×#41	—	5	3	no	—
695	C₂²×#41	—	10	16	no	—
696	C₂²×#41	C₂×D₅	1	1	yes	characteristic, complemented
697	C₂³×Q₈	—	5	1	no	—
698	C₂³×D₄	—	5	3	no	—
699	C₂³×D₄	—	5	3	no	—
700	C₂³×D₄	—	5	6	no	—
701	C₂³×D₄	—	5	6	no	—
702	C₂⁴×C₄	—	5	3	no	—
703	#550	—	5	2	no	—
704	#550	—	5	2	no	—
705	#550	—	5	6	no	—
706	#550	—	5	6	no	—
707	#550	—	5	6	no	—
708	#550	—	5	2	no	—
709	#550	—	5	6	no	—
710	#550	C₂×D₅	1	2	yes	complemented
711	#548	—	5	2	no	—
712	#548	—	5	2	no	—
713	#548	—	5	6	no	—
714	#548	—	5	6	no	—
715	#548	—	5	6	no	—
716	#548	—	5	2	no	—
717	#548	—	5	6	no	—
718	#548	C₂×D₅	1	2	yes	complemented
719	#546	—	5	6	no	—
720	#546	—	5	6	no	—
721	#546	—	5	6	no	—
722	#546	—	5	12	no	—
723	#546	—	5	6	no	—
724	#546	—	5	12	no	—
725	#546	—	5	6	no	—
726	#546	—	5	12	no	—
727	#546	—	5	6	no	—
728	#546	—	5	6	no	—
729	#546	—	5	12	no	—
730	#546	C₂×D₅	1	6	yes	complemented
731	D₄²	—	5	6	no	—
732	D₄²	—	5	6	no	—
733	D₄²	—	5	12	no	—
734	D₄²	—	5	6	no	—
735	D₄²	—	5	12	no	—
736	D₄²	—	5	6	no	—
737	D₄²	—	5	6	no	—
738	D₄²	—	5	12	no	—
739	D₄²	—	5	12	no	—
740	D₄²	—	5	6	no	—
741	D₄²	—	5	6	no	—
742	D₄²	C₂×D₅	1	6	yes	complemented
743	#537	—	5	3	no	—
744	#537	—	5	3	no	—
745	#537	—	5	6	no	—
746	#537	—	5	6	no	—
747	#537	—	5	12	no	—
748	#537	—	5	6	no	—
749	#537	—	5	6	no	—
750	#537	—	5	3	no	—
751	#537	C₂×D₅	1	3	yes	complemented
752	#535	—	5	3	no	—
753	#535	—	5	3	no	—
754	#535	—	5	6	no	—
755	#535	—	5	6	no	—
756	#535	—	5	6	no	—
757	#535	—	5	6	no	—
758	#535	—	5	12	no	—
759	#535	—	5	3	no	—
760	#535	C₂×D₅	1	3	yes	complemented
761	C₂×#127	—	5	6	no	—
762	C₂×#124	—	5	6	no	—
763	#525	—	5	3	no	—
764	#525	—	5	3	no	—
765	#525	—	5	6	no	—
766	#525	—	5	3	no	—
767	#525	—	5	3	no	—
768	#525	—	5	3	no	—
769	#525	—	5	3	no	—
770	#525	—	5	6	no	—
771	#525	—	5	6	no	—
772	#525	—	5	6	no	—
773	#525	—	5	3	no	—
774	#525	C₂×D₅	1	3	yes	complemented
775	C₂×#123	—	5	6	no	—
776	C₂×C₂²⋊Q₈	—	5	1	no	—
777	C₂×C₂²⋊Q₈	—	5	3	no	—
778	C₂×C₂²⋊Q₈	—	5	6	no	—
779	C₂×#121	—	5	3	no	—
780	C₂×#121	—	5	6	no	—
781	C₂×#121	—	5	3	no	—
782	C₂×#121	—	5	3	no	—
783	C₂×#121	—	5	6	no	—
784	C₂×#121	—	5	6	no	—
785	C₂×#121	—	5	6	no	—
786	C₂×#121	—	5	6	no	—
787	C₂×#121	—	5	6	no	—
788	C₂×#121	—	5	6	no	—
789	C₂×#121	—	5	6	no	—
790	C₂×#121	—	5	3	no	—
791	C₂×#121	—	5	12	no	—
792	C₂×#121	—	5	6	no	—
793	C₂×#121	—	5	3	no	—
794	C₂×#121	—	5	6	no	—
795	C₂×#121	C₂×D₅	1	3	yes	complemented
796	C₂×#120	—	5	6	no	—
797	C₂×#120	—	5	12	no	—
798	#520	—	5	1	no	—
799	#520	—	5	2	no	—
800	#520	—	5	6	no	—
801	#520	—	5	3	no	—
802	#520	—	5	3	no	—
803	#520	C₂×D₅	1	1	yes	characteristic, complemented
804	C₂×C₄×Q₈	—	5	2	no	—
805	C₂×C₄×D₄	—	5	6	no	—
806	C₂×C₄×D₄	—	5	6	no	—
807	C₂×C₄×D₄	—	5	6	no	—
808	C₂×#117	—	5	3	no	—
809	C₂²×C₄⋊C₄	—	5	3	no	—
810	C₂²×C₂²⋊C₄	—	5	6	no	—
811	C₂³×C₅	—	2	6	no	—
812	C₂³×C₅	—	2	6	no	—
813	C₂³×C₅	—	2	12	no	—
814	C₂³×C₅	—	4	3	no	—
815	C₂³×C₅	—	4	6	no	—
816	C₂³×C₅	—	4	6	no	—
817	C₂³×C₅	C₂⁵	1	6	yes	—
818	C₂³×C₅	C₂⁵	1	3	yes	—
819	C₂³×C₅	C₂⁵	1	3	yes	—
820	C₂³×C₅	C₂⁵	1	1	yes	characteristic
821	C₂²×D₅	—	2	2	no	—
822	C₂²×D₅	—	2	6	no	—
823	C₂²×D₅	—	2	2	no	—
824	C₂²×D₅	—	2	6	no	—
825	C₂²×D₅	—	2	6	no	—
826	C₂²×D₅	—	2	6	no	—
827	C₂²×D₅	—	2	12	no	—
828	C₂²×D₅	—	2	6	no	—
829	C₂²×D₅	—	2	6	no	—
830	C₂²×D₅	—	2	6	no	—
831	C₂²×D₅	—	2	12	no	—
832	C₂²×D₅	—	2	12	no	—
833	C₂²×D₅	—	2	6	no	—
834	C₂²×D₅	—	2	6	no	—
835	C₂²×D₅	—	2	6	no	—
836	C₂²×D₅	—	2	6	no	—
837	C₂²×D₅	—	2	12	no	—
838	C₂²×D₅	—	2	24	no	—
839	C₂²×D₅	—	4	3	no	—
840	C₂²×D₅	—	4	3	no	—
841	C₂²×D₅	—	4	3	no	—
842	C₂²×D₅	—	4	48	no	—
843	C₂²×D₅	—	4	6	no	—
844	C₂²×D₅	—	4	12	no	—
845	C₂²×D₅	—	4	12	no	—
846	C₂²×D₅	—	4	6	no	—
847	C₂²×D₅	—	8	48	no	—
848	C₂²×D₅	C₂²×D₄	1	12	yes	—
849	C₂²×D₅	H(5,𝔽₂)	1	4	yes	complemented
850	C₂²×D₅	C₂⁵	1	6	yes	—
851	C₂²×D₅	C₂⁵	1	3	yes	—
852	C₂²×D₅	C₂⁵	1	3	yes	—
853	C₂²×D₅	C₂⁵	1	1	yes	characteristic
854	C₂²×D₅	C₂⁵	1	1	yes	characteristic
855	C₅×Q₈	—	2	6	no	—
856	C₅×Q₈	—	2	2	no	—
857	C₅×Q₈	C₂²×D₄	1	4	yes	complemented
858	C₅×D₄	—	2	12	no	—
859	C₅×D₄	—	2	12	no	—
860	C₅×D₄	—	2	12	no	—
861	C₅×D₄	—	2	12	no	—
862	C₅×D₄	—	2	6	no	—
863	C₅×D₄	—	2	6	no	—
864	C₅×D₄	—	4	12	no	—
865	C₅×D₄	—	4	6	no	—
866	C₅×D₄	C₂²×D₄	1	12	yes	complemented
867	C₂×C₄×C₅	—	2	6	no	—
868	C₂×C₄×C₅	—	2	6	no	—
869	C₂×C₄×C₅	—	2	2	no	—
870	C₂×C₄×C₅	—	2	6	no	—
871	C₂×C₄×C₅	—	2	6	no	—
872	C₂×C₄×C₅	—	2	12	no	—
873	C₂×C₄×C₅	—	4	6	no	—
874	C₂×C₄×C₅	C₂²×D₄	1	12	yes	complemented
875	C₂×C₄×C₅	C₂⁵	1	2	yes	—
876	C₂×C₄×C₅	C₂⁵	1	6	yes	—
877	C₂×C₄×C₅	C₂⁵	1	2	yes	—
878	C₂×C₄×C₅	C₂⁵	1	3	yes	—
879	C₂×C₄×C₅	C₂⁵	1	1	yes	characteristic
880	C₂×C₄×C₅	C₂⁵	1	3	yes	—
881	C₂×C₄×C₅	C₂⁵	1	1	yes	characteristic
882	C₂²⋊D₅	—	2	12	no	—
883	C₂²⋊D₅	—	2	12	no	—
884	C₂²⋊D₅	—	2	12	no	—
885	C₂²⋊D₅	—	2	12	no	—
886	C₂²⋊D₅	—	2	12	no	—
887	C₂²⋊D₅	—	2	12	no	—
888	C₂²⋊D₅	—	2	12	no	—
889	C₂²⋊D₅	—	2	24	no	—
890	C₂²⋊D₅	—	2	12	no	—
891	C₂²⋊D₅	—	4	12	no	—
892	C₂²⋊D₅	—	4	12	no	—
893	C₂²⋊D₅	—	4	6	no	—
894	C₂²⋊D₅	—	4	6	no	—
895	C₂²⋊D₅	C₂²×D₄	1	24	yes	complemented
896	C₂×Dic₅	—	2	6	no	—
897	C₂×Dic₅	—	2	6	no	—
898	C₂×Dic₅	—	2	2	no	—
899	C₂×Dic₅	—	2	6	no	—
900	C₂×Dic₅	—	2	6	no	—
901	C₂×Dic₅	—	2	12	no	—
902	C₂×Dic₅	—	4	6	no	—
903	C₂×Dic₅	C₂²×D₄	1	12	yes	complemented
904	C₂×Dic₅	C₂⁵	1	2	yes	—
905	C₂×Dic₅	C₂⁵	1	6	yes	—
906	C₂×Dic₅	C₂⁵	1	2	yes	—
907	C₂×Dic₅	C₂⁵	1	3	yes	—
908	C₂×Dic₅	C₂⁵	1	1	yes	characteristic
909	C₂×Dic₅	C₂⁵	1	3	yes	—
910	C₂×Dic₅	C₂⁵	1	1	yes	characteristic
911	D₂₀	—	2	12	no	—
912	D₂₀	—	2	12	no	—
913	D₂₀	—	2	12	no	—
914	D₂₀	—	2	12	no	—
915	D₂₀	—	2	6	no	—
916	D₂₀	—	2	6	no	—
917	D₂₀	—	4	12	no	—
918	D₂₀	—	4	6	no	—
919	D₂₀	C₂²×D₄	1	12	yes	complemented
920	C₄×D₅	—	2	2	no	—
921	C₄×D₅	—	2	6	no	—
922	C₄×D₅	—	2	4	no	—
923	C₄×D₅	—	2	6	no	—
924	C₄×D₅	—	2	6	no	—
925	C₄×D₅	—	2	12	no	—
926	C₄×D₅	—	2	4	no	—
927	C₄×D₅	—	2	2	no	—
928	C₄×D₅	—	2	6	no	—
929	C₄×D₅	—	2	6	no	—
930	C₄×D₅	—	2	6	no	—
931	C₄×D₅	—	2	12	no	—
932	C₄×D₅	—	2	2	no	—
933	C₄×D₅	—	2	6	no	—
934	C₄×D₅	—	2	6	no	—
935	C₄×D₅	—	2	6	no	—
936	C₄×D₅	—	2	12	no	—
937	C₄×D₅	—	4	12	no	—
938	C₄×D₅	C₂²×D₄	1	4	yes	—
939	C₄×D₅	C₂²×D₄	1	12	yes	—
940	C₄×D₅	C₂²×D₄	1	12	yes	complemented
941	C₄×D₅	C₂²×D₄	1	12	yes	complemented
942	Dic₁₀	—	2	6	no	—
943	Dic₁₀	—	2	2	no	—
944	Dic₁₀	—	2	12	no	—
945	Dic₁₀	—	2	4	no	—
946	Dic₁₀	C₂²×D₄	1	12	yes	complemented
947	C₂⁵	—	5	3	no	—
948	C₂⁵	—	5	6	no	—
949	H(5,𝔽₂)	—	2	8	no	—
950	H(5,𝔽₂)	—	10	48	no	—
951	H(5,𝔽₂)	—	10	24	no	—
952	H(5,𝔽₂)	—	10	16	no	—
953	H(5,𝔽₂)	—	10	24	no	—
954	H(5,𝔽₂)	—	10	8	no	—
955	C₂×#41	—	2	8	no	—
956	C₂×#41	—	5	16	no	—
957	C₂×#41	—	5	1	no	—
958	C₂×#41	—	5	3	no	—
959	C₂×#41	—	5	3	no	—
960	C₂×#41	—	5	3	no	—
961	C₂×#41	—	5	2	no	—
962	C₂×#41	—	5	1	no	—
963	C₂×#41	—	5	3	no	—
964	C₂×#41	—	5	6	no	—
965	C₂×#41	—	5	3	no	—
966	C₂×#41	—	5	6	no	—
967	C₂×#41	—	5	3	no	—
968	C₂×#41	—	5	3	no	—
969	C₂×#41	—	5	6	no	—
970	C₂×#41	—	5	6	no	—
971	C₂×#41	—	5	3	no	—
972	C₂×#41	—	5	3	no	—
973	C₂×#41	—	5	6	no	—
974	C₂×#41	—	5	3	no	—
975	C₂×#41	—	5	6	no	—
976	C₂×#41	—	5	3	no	—
977	C₂×#41	—	5	3	no	—
978	C₂×#41	—	5	6	no	—
979	C₂×#41	—	5	6	no	—
980	C₂×#41	—	5	3	no	—
981	C₂×#41	—	10	24	no	—
982	C₂×#41	—	10	24	no	—
983	C₂×#41	—	10	24	no	—
984	C₂×#41	—	10	24	no	—
985	C₂×#41	—	10	24	no	—
986	C₂×#41	—	10	8	no	—
987	C₂×#41	—	10	8	no	—
988	C₂×#41	—	10	16	no	—
989	C₂×#41	—	10	8	no	—
990	C₂×#41	—	10	24	no	—
991	C₂×#41	—	10	24	no	—
992	C₂×#41	—	10	8	no	—
993	C₂×#41	C₂²×D₅	1	1	yes	characteristic
994	C₂×#41	C₂²×D₅	1	3	yes	complemented
995	C₂×#41	C₂²×D₅	1	3	yes	complemented
996	C₂×#41	C₂²×D₅	1	3	yes	complemented
997	C₂×#41	C₂²×D₅	1	2	yes	complemented
998	C₂×#41	C₂²×D₅	1	1	yes	characteristic, complemented
999	C₂²×Q₈	—	5	1	no	—
1000	C₂²×Q₈	—	5	1	no	—
1001	C₂²×Q₈	—	5	3	no	—
1002	C₂²×Q₈	—	5	3	no	—
1003	C₂²×Q₈	—	5	1	no	—
1004	C₂²×Q₈	—	5	3	no	—
1005	C₂²×Q₈	—	10	8	no	—
1006	C₂²×Q₈	C₂²×D₅	1	1	yes	characteristic, complemented
1007	C₂²×D₄	—	5	3	no	—
1008	C₂²×D₄	—	5	6	no	—
1009	C₂²×D₄	—	5	6	no	—
1010	C₂²×D₄	—	5	12	no	—
1011	C₂²×D₄	—	5	6	no	—
1012	C₂²×D₄	—	5	6	no	—
1013	C₂²×D₄	—	5	6	no	—
1014	C₂²×D₄	—	5	6	no	—
1015	C₂²×D₄	—	5	6	no	—
1016	C₂²×D₄	—	5	3	no	—
1017	C₂²×D₄	—	5	6	no	—
1018	C₂²×D₄	—	5	3	no	—
1019	C₂²×D₄	—	5	6	no	—
1020	C₂²×D₄	—	5	6	no	—
1021	C₂²×D₄	—	5	6	no	—
1022	C₂²×D₄	—	5	3	no	—
1023	C₂²×D₄	—	5	3	no	—
1024	C₂²×D₄	—	5	12	no	—
1025	C₂²×D₄	—	5	6	no	—
1026	C₂²×D₄	—	5	6	no	—
1027	C₂²×D₄	—	5	6	no	—
1028	C₂²×D₄	—	5	12	no	—
1029	C₂²×D₄	—	5	12	no	—
1030	C₂²×D₄	—	5	12	no	—
1031	C₂²×D₄	—	5	3	no	—
1032	C₂²×D₄	—	5	3	no	—
1033	C₂²×D₄	—	5	6	no	—
1034	C₂²×D₄	—	5	6	no	—
1035	C₂²×D₄	—	10	24	no	—
1036	C₂²×D₄	—	10	24	no	—
1037	C₂²×D₄	—	10	48	no	—
1038	C₂²×D₄	—	20	24	no	—
1039	C₂²×D₄	C₂²×D₅	1	3	yes	complemented
1040	C₂²×D₄	C₂²×D₅	1	3	yes	complemented
1041	C₂²×D₄	C₂²×D₅	1	6	yes	complemented
1042	C₂²×D₄	C₂²×D₅	1	6	yes	complemented
1043	C₂³×C₄	—	5	3	no	—
1044	C₂³×C₄	—	5	3	no	—
1045	C₂³×C₄	—	5	3	no	—
1046	C₂³×C₄	—	5	3	no	—
1047	C₂³×C₄	—	5	3	no	—
1048	C₂³×C₄	—	5	6	no	—
1049	C₂³×C₄	—	5	1	no	—
1050	C₂³×C₄	—	5	3	no	—
1051	C₂³×C₄	—	5	3	no	—
1052	C₂³×C₄	—	5	3	no	—
1053	C₂³×C₄	—	5	3	no	—
1054	C₂³×C₄	—	5	3	no	—
1055	C₂³×C₄	—	5	3	no	—
1056	C₂³×C₄	—	5	3	no	—
1057	C₂³×C₄	—	5	6	no	—
1058	C₂³×C₄	—	10	24	no	—
1059	C₂³×C₄	C₂²×D₅	1	3	yes	complemented
1060	#127	—	5	12	no	—
1061	#127	—	5	12	no	—
1062	#127	—	5	6	no	—
1063	#127	—	5	6	no	—
1064	#127	—	5	6	no	—
1065	#127	C₂²×D₅	1	6	yes	complemented
1066	#124	—	5	6	no	—
1067	#124	—	5	6	no	—
1068	#124	—	5	12	no	—
1069	#124	—	5	12	no	—
1070	#124	—	5	6	no	—
1071	#124	C₂²×D₅	1	6	yes	complemented
1072	#123	—	5	6	no	—
1073	#123	—	5	6	no	—
1074	#123	—	5	6	no	—
1075	#123	—	5	6	no	—
1076	#123	—	5	6	no	—
1077	#123	—	5	6	no	—
1078	#123	—	5	6	no	—
1079	#123	C₂²×D₅	1	6	yes	complemented
1080	C₂²⋊Q₈	—	5	1	no	—
1081	C₂²⋊Q₈	—	5	3	no	—
1082	C₂²⋊Q₈	—	5	6	no	—
1083	C₂²⋊Q₈	—	5	1	no	—
1084	C₂²⋊Q₈	—	5	3	no	—
1085	C₂²⋊Q₈	—	5	6	no	—
1086	C₂²⋊Q₈	—	5	2	no	—
1087	C₂²⋊Q₈	—	5	1	no	—
1088	C₂²⋊Q₈	—	5	6	no	—
1089	C₂²⋊Q₈	—	5	3	no	—
1090	C₂²⋊Q₈	—	5	12	no	—
1091	C₂²⋊Q₈	—	5	6	no	—
1092	C₂²⋊Q₈	—	5	2	no	—
1093	C₂²⋊Q₈	—	5	6	no	—
1094	C₂²⋊Q₈	—	5	12	no	—
1095	C₂²⋊Q₈	C₂²×D₅	1	1	yes	characteristic, complemented
1096	C₂²⋊Q₈	C₂²×D₅	1	3	yes	complemented
1097	C₂²⋊Q₈	C₂²×D₅	1	6	yes	complemented
1098	#121	—	5	3	no	—
1099	#121	—	5	6	no	—
1100	#121	—	5	6	no	—
1101	#121	—	5	12	no	—
1102	#121	—	5	6	no	—
1103	#121	—	5	12	no	—
1104	#121	—	5	6	no	—
1105	#121	—	5	12	no	—
1106	#121	—	5	3	no	—
1107	#121	—	5	6	no	—
1108	#121	—	5	12	no	—
1109	#121	—	5	12	no	—
1110	#121	—	5	12	no	—
1111	#121	—	5	6	no	—
1112	#121	—	5	12	no	—
1113	#121	—	5	3	no	—
1114	#121	—	5	6	no	—
1115	#121	—	5	6	no	—
1116	#121	—	5	6	no	—
1117	#121	—	5	3	no	—
1118	#121	—	5	12	no	—
1119	#121	—	5	6	no	—
1120	#121	—	5	3	no	—
1121	#121	—	5	6	no	—
1122	#121	—	5	6	no	—
1123	#121	—	5	6	no	—
1124	#121	—	5	3	no	—
1125	#121	—	5	12	no	—
1126	#121	—	5	6	no	—
1127	#121	—	5	6	no	—
1128	#121	—	5	12	no	—
1129	#121	—	5	12	no	—
1130	#121	—	5	12	no	—
1131	#121	—	5	6	no	—
1132	#121	—	5	12	no	—
1133	#121	—	5	12	no	—
1134	#121	—	5	12	no	—
1135	#121	C₂²×D₅	1	3	yes	complemented
1136	#121	C₂²×D₅	1	6	yes	complemented
1137	#121	C₂²×D₅	1	6	yes	complemented
1138	#121	C₂²×D₅	1	6	yes	complemented
1139	#121	C₂²×D₅	1	3	yes	complemented
1140	#121	C₂²×D₅	1	12	yes	complemented
1141	#121	C₂²×D₅	1	6	yes	complemented
1142	#120	—	5	6	no	—
1143	#120	—	5	12	no	—
1144	#120	—	5	6	no	—
1145	#120	—	5	6	no	—
1146	#120	—	5	6	no	—
1147	#120	—	5	12	no	—
1148	#120	—	5	12	no	—
1149	#120	—	5	12	no	—
1150	#120	—	5	6	no	—
1151	#120	—	5	6	no	—
1152	#120	—	5	6	no	—
1153	#120	—	5	12	no	—
1154	#120	—	5	12	no	—
1155	#120	—	5	12	no	—
1156	#120	C₂²×D₅	1	6	yes	complemented
1157	#120	C₂²×D₅	1	12	yes	complemented
1158	C₄×Q₈	—	5	2	no	—
1159	C₄×Q₈	—	5	6	no	—
1160	C₄×Q₈	—	5	6	no	—
1161	C₄×Q₈	C₂²×D₅	1	2	yes	complemented
1162	C₄×D₄	—	5	6	no	—
1163	C₄×D₄	—	5	6	no	—
1164	C₄×D₄	—	5	6	no	—
1165	C₄×D₄	—	5	12	no	—
1166	C₄×D₄	—	5	6	no	—
1167	C₄×D₄	—	5	6	no	—
1168	C₄×D₄	—	5	6	no	—
1169	C₄×D₄	—	5	6	no	—
1170	C₄×D₄	—	5	6	no	—
1171	C₄×D₄	—	5	6	no	—
1172	C₄×D₄	—	5	6	no	—
1173	C₄×D₄	—	5	12	no	—
1174	C₄×D₄	—	5	6	no	—
1175	C₄×D₄	—	5	6	no	—
1176	C₄×D₄	—	5	6	no	—
1177	C₄×D₄	—	5	6	no	—
1178	C₄×D₄	—	5	6	no	—
1179	C₄×D₄	—	5	6	no	—
1180	C₄×D₄	—	5	6	no	—
1181	C₄×D₄	C₂²×D₅	1	6	yes	complemented
1182	C₄×D₄	C₂²×D₅	1	6	yes	complemented
1183	C₄×D₄	C₂²×D₅	1	6	yes	complemented
1184	#117	—	5	3	no	—
1185	#117	—	5	3	no	—
1186	#117	—	5	3	no	—
1187	#117	—	5	6	no	—
1188	#117	—	5	6	no	—
1189	#117	C₂²×D₅	1	3	yes	complemented
1190	C₂×C₄⋊C₄	—	5	6	no	—
1191	C₂×C₄⋊C₄	—	5	3	no	—
1192	C₂×C₄⋊C₄	—	5	3	no	—
1193	C₂×C₄⋊C₄	—	5	6	no	—
1194	C₂×C₄⋊C₄	—	5	6	no	—
1195	C₂×C₄⋊C₄	—	5	6	no	—
1196	C₂×C₄⋊C₄	—	5	1	no	—
1197	C₂×C₄⋊C₄	—	5	2	no	—
1198	C₂×C₄⋊C₄	—	5	6	no	—
1199	C₂×C₄⋊C₄	C₂²×D₅	1	3	yes	complemented
1200	C₂×C₂²⋊C₄	—	5	6	no	—
1201	C₂×C₂²⋊C₄	—	5	6	no	—
1202	C₂×C₂²⋊C₄	—	5	6	no	—
1203	C₂×C₂²⋊C₄	—	5	6	no	—
1204	C₂×C₂²⋊C₄	—	5	12	no	—
1205	C₂×C₂²⋊C₄	—	5	12	no	—
1206	C₂×C₂²⋊C₄	—	5	12	no	—
1207	C₂×C₂²⋊C₄	—	5	6	no	—
1208	C₂×C₂²⋊C₄	—	5	2	no	—
1209	C₂×C₂²⋊C₄	—	5	6	no	—
1210	C₂×C₂²⋊C₄	—	5	6	no	—
1211	C₂×C₂²⋊C₄	C₂²×D₅	1	6	yes	complemented
1212	C₂×C₄²	—	5	6	no	—
1213	C₂²×C₅	—	2	1	no	—
1214	C₂²×C₅	—	2	3	no	—
1215	C₂²×C₅	—	2	1	no	—
1216	C₂²×C₅	—	2	3	no	—
1217	C₂²×C₅	—	2	3	no	—
1218	C₂²×C₅	—	2	6	no	—
1219	C₂²×C₅	—	2	6	no	—
1220	C₂²×C₅	—	2	3	no	—
1221	C₂²×C₅	—	2	3	no	—
1222	C₂²×C₅	—	2	6	no	—
1223	C₂²×C₅	—	4	12	no	—
1224	C₂²×C₅	—	8	12	no	—
1225	C₂²×C₅	C₂³×D₄	1	6	yes	—
1226	C₂²×C₅	C₂×H(5,𝔽₂)	1	2	yes	complemented
1227	C₂²×C₅	C₂⁶	1	1	yes	characteristic
1228	C₂×D₅	—	2	1	no	—
1229	C₂×D₅	—	2	3	no	—
1230	C₂×D₅	—	2	1	no	—
1231	C₂×D₅	—	2	3	no	—
1232	C₂×D₅	—	2	8	no	—
1233	C₂×D₅	—	2	24	no	—
1234	C₂×D₅	—	2	3	no	—
1235	C₂×D₅	—	2	6	no	—
1236	C₂×D₅	—	2	6	no	—
1237	C₂×D₅	—	2	3	no	—
1238	C₂×D₅	—	2	3	no	—
1239	C₂×D₅	—	2	6	no	—
1240	C₂×D₅	—	4	12	no	—
1241	C₂×D₅	—	4	12	no	—
1242	C₂×D₅	—	4	12	no	—
1243	C₂×D₅	—	4	12	no	—
1244	C₂×D₅	—	4	24	no	—
1245	C₂×D₅	—	8	24	no	—
1246	C₂×D₅	—	8	12	no	—
1247	C₂×D₅	C₂³×D₄	1	6	yes	—
1248	C₂×D₅	C₂³×D₄	1	2	yes	—
1249	C₂×D₅	C₂×H(5,𝔽₂)	1	2	yes	—
1250	C₂×D₅	C₂×H(5,𝔽₂)	1	2	yes	complemented
1251	C₂×D₅	#585	1	2	yes	—
1252	C₄×C₅	—	2	3	no	—
1253	C₄×C₅	—	2	2	no	—
1254	C₄×C₅	—	2	1	no	—
1255	C₄×C₅	—	2	6	no	—
1256	C₄×C₅	—	2	2	no	—
1257	C₄×C₅	C₂³×D₄	1	6	yes	—
1258	C₄×C₅	C₂³×D₄	1	2	yes	—
1259	Dic₅	—	2	3	no	—
1260	Dic₅	—	2	2	no	—
1261	Dic₅	—	2	1	no	—
1262	Dic₅	—	2	6	no	—
1263	Dic₅	—	2	2	no	—
1264	Dic₅	C₂³×D₄	1	6	yes	—
1265	Dic₅	C₂³×D₄	1	2	yes	—
1266	C₂⁴	—	5	3	no	—
1267	C₂⁴	—	5	1	no	—
1268	C₂⁴	—	5	6	no	—
1269	C₂⁴	—	5	3	no	—
1270	C₂⁴	—	5	3	no	—
1271	C₂⁴	—	5	3	no	—
1272	C₂⁴	—	5	3	no	—
1273	C₂⁴	—	5	12	no	—
1274	C₂⁴	—	5	6	no	—
1275	C₂⁴	—	10	12	no	—
1276	C₂⁴	—	10	12	no	—
1277	C₂⁴	—	10	24	no	—
1278	C₂⁴	—	20	6	no	—
1279	C₂⁴	—	20	12	no	—
1280	C₂⁴	—	20	12	no	—
1281	C₂⁴	C₂³×D₅	1	3	yes	—
1282	C₂⁴	C₂³×D₅	1	6	yes	—
1283	#41	—	2	4	no	—
1284	#41	—	2	8	no	—
1285	#41	—	2	12	no	—
1286	#41	—	2	12	no	—
1287	#41	—	2	12	no	—
1288	#41	—	5	8	no	—
1289	#41	—	5	24	no	—
1290	#41	—	5	24	no	—
1291	#41	—	10	24	no	—
1292	#41	—	10	24	no	—
1293	#41	—	10	24	no	—
1294	#41	—	10	12	no	—
1295	#41	—	10	12	no	—
1296	#41	—	10	24	no	—
1297	#41	—	10	24	no	—
1298	#41	—	10	12	no	—
1299	#41	—	10	24	no	—
1300	#41	—	10	12	no	—
1301	#41	—	10	12	no	—
1302	#41	—	10	12	no	—
1303	#41	—	10	24	no	—
1304	#41	—	10	12	no	—
1305	#41	—	10	24	no	—
1306	#41	—	10	12	no	—
1307	#41	—	10	4	no	—
1308	#41	—	10	8	no	—
1309	#41	—	10	12	no	—
1310	#41	—	10	12	no	—
1311	#41	—	10	12	no	—
1312	#41	D₄×D₅	1	8	yes	complemented
1313	C₂×Q₈	—	2	4	no	—
1314	C₂×Q₈	—	5	8	no	—
1315	C₂×Q₈	—	5	3	no	—
1316	C₂×Q₈	—	5	2	no	—
1317	C₂×Q₈	—	5	1	no	—
1318	C₂×Q₈	—	5	6	no	—
1319	C₂×Q₈	—	5	3	no	—
1320	C₂×Q₈	—	10	12	no	—
1321	C₂×Q₈	—	10	12	no	—
1322	C₂×Q₈	—	10	4	no	—
1323	C₂×Q₈	—	10	12	no	—
1324	C₂×Q₈	—	10	4	no	—
1325	C₂×Q₈	C₂³×D₅	1	1	yes	characteristic
1326	C₂×Q₈	C₂³×D₅	1	3	yes	—
1327	C₂×Q₈	C₂³×D₅	1	1	yes	characteristic
1328	C₂×D₄	—	2	12	no	—
1329	C₂×D₄	—	2	24	no	—
1330	C₂×D₄	—	2	12	no	—
1331	C₂×D₄	—	4	12	no	—
1332	C₂×D₄	—	5	6	no	—
1333	C₂×D₄	—	5	24	no	—
1334	C₂×D₄	—	5	6	no	—
1335	C₂×D₄	—	5	6	no	—
1336	C₂×D₄	—	5	6	no	—
1337	C₂×D₄	—	5	6	no	—
1338	C₂×D₄	—	5	6	no	—
1339	C₂×D₄	—	5	6	no	—
1340	C₂×D₄	—	5	6	no	—
1341	C₂×D₄	—	5	12	no	—
1342	C₂×D₄	—	5	6	no	—
1343	C₂×D₄	—	5	6	no	—
1344	C₂×D₄	—	5	6	no	—
1345	C₂×D₄	—	5	12	no	—
1346	C₂×D₄	—	5	12	no	—
1347	C₂×D₄	—	5	3	no	—
1348	C₂×D₄	—	5	6	no	—
1349	C₂×D₄	—	5	6	no	—
1350	C₂×D₄	—	5	6	no	—
1351	C₂×D₄	—	5	3	no	—
1352	C₂×D₄	—	5	6	no	—
1353	C₂×D₄	—	5	3	no	—
1354	C₂×D₄	—	5	6	no	—
1355	C₂×D₄	—	5	12	no	—
1356	C₂×D₄	—	10	12	no	—
1357	C₂×D₄	—	10	24	no	—
1358	C₂×D₄	—	10	12	no	—
1359	C₂×D₄	—	10	24	no	—
1360	C₂×D₄	—	10	12	no	—
1361	C₂×D₄	—	10	24	no	—
1362	C₂×D₄	—	10	24	no	—
1363	C₂×D₄	—	10	24	no	—
1364	C₂×D₄	—	10	24	no	—
1365	C₂×D₄	—	10	12	no	—
1366	C₂×D₄	—	10	48	no	—
1367	C₂×D₄	—	10	24	no	—
1368	C₂×D₄	—	10	24	no	—
1369	C₂×D₄	—	10	24	no	—
1370	C₂×D₄	—	10	24	no	—
1371	C₂×D₄	—	10	24	no	—
1372	C₂×D₄	—	10	48	no	—
1373	C₂×D₄	—	10	12	no	—
1374	C₂×D₄	—	10	24	no	—
1375	C₂×D₄	—	10	12	no	—
1376	C₂×D₄	—	20	12	no	—
1377	C₂×D₄	—	20	24	no	—
1378	C₂×D₄	—	20	12	no	—
1379	C₂×D₄	—	20	24	no	—
1380	C₂×D₄	—	20	24	no	—
1381	C₂×D₄	—	20	12	no	—
1382	C₂×D₄	—	20	12	no	—
1383	C₂×D₄	C₂³×D₅	1	6	yes	—
1384	C₂×D₄	C₂³×D₅	1	6	yes	—
1385	C₂×D₄	C₂³×D₅	1	6	yes	—
1386	C₂×D₄	C₂³×D₅	1	3	yes	—
1387	C₂×D₄	C₂³×D₅	1	6	yes	—
1388	C₂×D₄	C₂³×D₅	1	3	yes	—
1389	C₂×D₄	C₂³×D₅	1	6	yes	—
1390	C₂×D₄	C₂³×D₅	1	12	yes	—
1391	C₂×D₄	C₂³×D₅	1	3	yes	—
1392	C₂²×C₄	—	2	12	no	—
1393	C₂²×C₄	—	5	3	no	—
1394	C₂²×C₄	—	5	24	no	—
1395	C₂²×C₄	—	5	3	no	—
1396	C₂²×C₄	—	5	1	no	—
1397	C₂²×C₄	—	5	3	no	—
1398	C₂²×C₄	—	5	3	no	—
1399	C₂²×C₄	—	5	3	no	—
1400	C₂²×C₄	—	5	3	no	—
1401	C₂²×C₄	—	5	3	no	—
1402	C₂²×C₄	—	5	6	no	—
1403	C₂²×C₄	—	5	1	no	—
1404	C₂²×C₄	—	5	3	no	—
1405	C₂²×C₄	—	5	6	no	—
1406	C₂²×C₄	—	5	2	no	—
1407	C₂²×C₄	—	5	6	no	—
1408	C₂²×C₄	—	5	1	no	—
1409	C₂²×C₄	—	5	3	no	—
1410	C₂²×C₄	—	5	2	no	—
1411	C₂²×C₄	—	5	3	no	—
1412	C₂²×C₄	—	5	3	no	—
1413	C₂²×C₄	—	5	3	no	—
1414	C₂²×C₄	—	5	3	no	—
1415	C₂²×C₄	—	5	3	no	—
1416	C₂²×C₄	—	5	3	no	—
1417	C₂²×C₄	—	5	6	no	—
1418	C₂²×C₄	—	5	6	no	—
1419	C₂²×C₄	—	5	1	no	—
1420	C₂²×C₄	—	5	1	no	—
1421	C₂²×C₄	—	5	3	no	—
1422	C₂²×C₄	—	5	3	no	—
1423	C₂²×C₄	—	5	12	no	—
1424	C₂²×C₄	—	10	4	no	—
1425	C₂²×C₄	—	10	12	no	—
1426	C₂²×C₄	—	10	12	no	—
1427	C₂²×C₄	—	10	12	no	—
1428	C₂²×C₄	—	10	12	no	—
1429	C₂²×C₄	—	10	12	no	—
1430	C₂²×C₄	—	10	12	no	—
1431	C₂²×C₄	—	10	12	no	—
1432	C₂²×C₄	—	10	12	no	—
1433	C₂²×C₄	—	10	24	no	—
1434	C₂²×C₄	—	10	12	no	—
1435	C₂²×C₄	—	10	12	no	—
1436	C₂²×C₄	—	10	12	no	—
1437	C₂²×C₄	—	20	12	no	—
1438	C₂²×C₄	C₂³×D₅	1	3	yes	—
1439	C₂²×C₄	C₂³×D₅	1	3	yes	—
1440	C₂²×C₄	C₂³×D₅	1	3	yes	—
1441	C₂²×C₄	C₂³×D₅	1	6	yes	—
1442	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1443	C₂²×C₄	C₂³×D₅	1	3	yes	—
1444	C₂²×C₄	C₂³×D₅	1	6	yes	—
1445	C₂²×C₄	C₂³×D₅	1	3	yes	—
1446	C₄⋊C₄	—	5	6	no	—
1447	C₄⋊C₄	—	5	3	no	—
1448	C₄⋊C₄	—	5	12	no	—
1449	C₄⋊C₄	—	5	6	no	—
1450	C₄⋊C₄	—	5	2	no	—
1451	C₄⋊C₄	—	5	1	no	—
1452	C₄⋊C₄	—	5	2	no	—
1453	C₄⋊C₄	—	5	2	no	—
1454	C₄⋊C₄	—	5	2	no	—
1455	C₄⋊C₄	—	5	6	no	—
1456	C₄⋊C₄	—	5	6	no	—
1457	C₄⋊C₄	—	5	6	no	—
1458	C₄⋊C₄	C₂³×D₅	1	3	yes	—
1459	C₄⋊C₄	C₂³×D₅	1	6	yes	—
1460	C₄⋊C₄	C₂³×D₅	1	1	yes	characteristic
1461	C₄⋊C₄	C₂³×D₅	1	2	yes	—
1462	C₄⋊C₄	C₂³×D₅	1	6	yes	—
1463	C₂²⋊C₄	—	5	6	no	—
1464	C₂²⋊C₄	—	5	12	no	—
1465	C₂²⋊C₄	—	5	6	no	—
1466	C₂²⋊C₄	—	5	2	no	—
1467	C₂²⋊C₄	—	5	6	no	—
1468	C₂²⋊C₄	—	5	6	no	—
1469	C₂²⋊C₄	—	5	6	no	—
1470	C₂²⋊C₄	—	5	6	no	—
1471	C₂²⋊C₄	—	5	12	no	—
1472	C₂²⋊C₄	—	5	12	no	—
1473	C₂²⋊C₄	—	5	6	no	—
1474	C₂²⋊C₄	—	5	6	no	—
1475	C₂²⋊C₄	—	5	2	no	—
1476	C₂²⋊C₄	—	5	2	no	—
1477	C₂²⋊C₄	—	5	6	no	—
1478	C₂²⋊C₄	—	5	6	no	—
1479	C₂²⋊C₄	—	5	6	no	—
1480	C₂²⋊C₄	—	5	6	no	—
1481	C₂²⋊C₄	C₂³×D₅	1	6	yes	—
1482	C₂²⋊C₄	C₂³×D₅	1	12	yes	—
1483	C₂²⋊C₄	C₂³×D₅	1	6	yes	—
1484	C₂²⋊C₄	C₂³×D₅	1	2	yes	—
1485	C₂²⋊C₄	C₂³×D₅	1	6	yes	—
1486	C₂²⋊C₄	C₂³×D₅	1	6	yes	—
1487	C₄²	—	5	6	no	—
1488	C₄²	—	5	6	no	—
1489	C₄²	—	5	6	no	—
1490	C₄²	C₂³×D₅	1	6	yes	—
1491	C₂×C₅	—	2	2	no	—
1492	C₂×C₅	—	2	6	no	—
1493	C₂×C₅	—	4	3	no	—
1494	C₂×C₅	—	4	6	no	—
1495	C₂×C₅	C₂⁴×D₄	1	1	yes	characteristic
1496	C₂×C₅	C₂²×H(5,𝔽₂)	1	1	yes	characteristic
1497	C₂×C₅	C₂×#585	1	1	yes	characteristic
1498	D₅	—	2	2	no	—
1499	D₅	—	2	6	no	—
1500	D₅	—	4	3	no	—
1501	D₅	—	4	6	no	—
1502	D₅	#3488	1	4	yes	direct product factor
1503	C₂³	—	2	6	no	—
1504	C₂³	—	2	6	no	—
1505	C₂³	—	2	12	no	—
1506	C₂³	—	4	3	no	—
1507	C₂³	—	4	6	no	—
1508	C₂³	—	4	6	no	—
1509	C₂³	—	5	1	no	—
1510	C₂³	—	5	12	no	—
1511	C₂³	—	5	4	no	—
1512	C₂³	—	5	3	no	—
1513	C₂³	—	5	1	no	—
1514	C₂³	—	5	6	no	—
1515	C₂³	—	5	3	no	—
1516	C₂³	—	10	2	no	—
1517	C₂³	—	10	6	no	—
1518	C₂³	—	10	2	no	—
1519	C₂³	—	10	6	no	—
1520	C₂³	—	10	6	no	—
1521	C₂³	—	10	6	no	—
1522	C₂³	—	10	6	no	—
1523	C₂³	—	10	12	no	—
1524	C₂³	—	10	12	no	—
1525	C₂³	—	10	6	no	—
1526	C₂³	—	10	6	no	—
1527	C₂³	—	10	6	no	—
1528	C₂³	—	10	6	no	—
1529	C₂³	—	10	12	no	—
1530	C₂³	—	10	24	no	—
1531	C₂³	—	10	6	no	—
1532	C₂³	—	10	6	no	—
1533	C₂³	—	10	12	no	—
1534	C₂³	—	20	3	no	—
1535	C₂³	—	20	3	no	—
1536	C₂³	—	20	3	no	—
1537	C₂³	—	20	6	no	—
1538	C₂³	—	20	12	no	—
1539	C₂³	—	20	6	no	—
1540	C₂³	—	20	12	no	—
1541	C₂³	—	20	48	no	—
1542	C₂³	—	40	48	no	—
1543	C₂³	C₂⁴×D₅	1	6	yes	—
1544	C₂³	C₂⁴×D₅	1	3	yes	—
1545	C₂³	C₂⁴×D₅	1	3	yes	—
1546	C₂³	C₂⁴×D₅	1	1	yes	characteristic
1547	Q₈	—	2	6	no	—
1548	Q₈	—	2	2	no	—
1549	Q₈	—	5	12	no	—
1550	Q₈	—	10	12	no	—
1551	Q₈	—	10	4	no	—
1552	Q₈	—	10	6	no	—
1553	Q₈	—	10	2	no	—
1554	Q₈	C₂×D₄×D₅	1	4	yes	complemented
1555	D₄	—	2	12	no	—
1556	D₄	—	2	12	no	—
1557	D₄	—	2	12	no	—
1558	D₄	—	2	6	no	—
1559	D₄	—	2	12	no	—
1560	D₄	—	2	6	no	—
1561	D₄	—	4	12	no	—
1562	D₄	—	4	6	no	—
1563	D₄	—	5	24	no	—
1564	D₄	—	5	12	no	—
1565	D₄	—	10	12	no	—
1566	D₄	—	10	12	no	—
1567	D₄	—	10	12	no	—
1568	D₄	—	10	12	no	—
1569	D₄	—	10	24	no	—
1570	D₄	—	10	12	no	—
1571	D₄	—	10	12	no	—
1572	D₄	—	10	12	no	—
1573	D₄	—	10	12	no	—
1574	D₄	—	10	12	no	—
1575	D₄	—	10	12	no	—
1576	D₄	—	10	12	no	—
1577	D₄	—	10	6	no	—
1578	D₄	—	10	12	no	—
1579	D₄	—	10	6	no	—
1580	D₄	—	20	12	no	—
1581	D₄	—	20	6	no	—
1582	D₄	—	20	12	no	—
1583	D₄	—	20	12	no	—
1584	D₄	—	20	6	no	—
1585	D₄	—	20	6	no	—
1586	D₄	C₂×D₄×D₅	1	12	yes	complemented
1587	C₂×C₄	—	2	6	no	—
1588	C₂×C₄	—	2	2	no	—
1589	C₂×C₄	—	2	6	no	—
1590	C₂×C₄	—	2	6	no	—
1591	C₂×C₄	—	2	6	no	—
1592	C₂×C₄	—	2	12	no	—
1593	C₂×C₄	—	4	6	no	—
1594	C₂×C₄	—	5	12	no	—
1595	C₂×C₄	—	5	3	no	—
1596	C₂×C₄	—	5	1	no	—
1597	C₂×C₄	—	5	4	no	—
1598	C₂×C₄	—	5	12	no	—
1599	C₂×C₄	—	5	12	no	—
1600	C₂×C₄	—	5	12	no	—
1601	C₂×C₄	—	5	2	no	—
1602	C₂×C₄	—	5	6	no	—
1603	C₂×C₄	—	5	1	no	—
1604	C₂×C₄	—	5	3	no	—
1605	C₂×C₄	—	5	2	no	—
1606	C₂×C₄	—	10	2	no	—
1607	C₂×C₄	—	10	6	no	—
1608	C₂×C₄	—	10	6	no	—
1609	C₂×C₄	—	10	6	no	—
1610	C₂×C₄	—	10	12	no	—
1611	C₂×C₄	—	10	2	no	—
1612	C₂×C₄	—	10	4	no	—
1613	C₂×C₄	—	10	6	no	—
1614	C₂×C₄	—	10	6	no	—
1615	C₂×C₄	—	10	6	no	—
1616	C₂×C₄	—	10	12	no	—
1617	C₂×C₄	—	10	4	no	—
1618	C₂×C₄	—	10	2	no	—
1619	C₂×C₄	—	10	6	no	—
1620	C₂×C₄	—	10	6	no	—
1621	C₂×C₄	—	10	6	no	—
1622	C₂×C₄	—	10	12	no	—
1623	C₂×C₄	—	10	6	no	—
1624	C₂×C₄	—	10	2	no	—
1625	C₂×C₄	—	10	6	no	—
1626	C₂×C₄	—	10	6	no	—
1627	C₂×C₄	—	10	6	no	—
1628	C₂×C₄	—	10	12	no	—
1629	C₂×C₄	—	20	12	no	—
1630	C₂×C₄	—	20	6	no	—
1631	C₂×C₄	C₂×D₄×D₅	1	12	yes	complemented
1632	C₂×C₄	C₂⁴×D₅	1	2	yes	—
1633	C₂×C₄	C₂⁴×D₅	1	6	yes	—
1634	C₂×C₄	C₂⁴×D₅	1	1	yes	characteristic
1635	C₂×C₄	C₂⁴×D₅	1	3	yes	—
1636	C₂×C₄	C₂⁴×D₅	1	2	yes	—
1637	C₂×C₄	C₂⁴×D₅	1	3	yes	—
1638	C₂×C₄	C₂⁴×D₅	1	1	yes	characteristic
1639	C₅	C₂×#3488	1	1	yes	characteristic, complemented, Sylow
1640	C₂²	—	2	1	no	—
1641	C₂²	—	2	3	no	—
1642	C₂²	—	2	1	no	—
1643	C₂²	—	2	3	no	—
1644	C₂²	—	2	3	no	—
1645	C₂²	—	2	6	no	—
1646	C₂²	—	2	6	no	—
1647	C₂²	—	2	3	no	—
1648	C₂²	—	2	3	no	—
1649	C₂²	—	2	6	no	—
1650	C₂²	—	4	12	no	—
1651	C₂²	—	5	2	no	—
1652	C₂²	—	5	2	no	—
1653	C₂²	—	5	2	no	—
1654	C₂²	—	5	6	no	—
1655	C₂²	—	5	2	no	—
1656	C₂²	—	8	12	no	—
1657	C₂²	—	10	8	no	—
1658	C₂²	—	10	24	no	—
1659	C₂²	—	10	1	no	—
1660	C₂²	—	10	3	no	—
1661	C₂²	—	10	1	no	—
1662	C₂²	—	10	3	no	—
1663	C₂²	—	10	3	no	—
1664	C₂²	—	10	6	no	—
1665	C₂²	—	10	6	no	—
1666	C₂²	—	10	3	no	—
1667	C₂²	—	10	3	no	—
1668	C₂²	—	10	6	no	—
1669	C₂²	—	20	12	no	—
1670	C₂²	—	20	12	no	—
1671	C₂²	—	20	12	no	—
1672	C₂²	—	20	24	no	—
1673	C₂²	—	20	12	no	—
1674	C₂²	—	40	12	no	—
1675	C₂²	—	40	24	no	—
1676	C₂²	C₂²×D₄×D₅	1	6	yes	—
1677	C₂²	D₅×H(5,𝔽₂)	1	2	yes	complemented
1678	C₂²	C₂⁵×D₅	1	1	yes	characteristic
1679	C₄	—	2	1	no	—
1680	C₄	—	2	2	no	—
1681	C₄	—	2	3	no	—
1682	C₄	—	2	6	no	—
1683	C₄	—	2	2	no	—
1684	C₄	—	5	2	no	—
1685	C₄	—	5	6	no	—
1686	C₄	—	10	1	no	—
1687	C₄	—	10	2	no	—
1688	C₄	—	10	3	no	—
1689	C₄	—	10	6	no	—
1690	C₄	—	10	2	no	—
1691	C₄	C₂²×D₄×D₅	1	2	yes	—
1692	C₄	C₂²×D₄×D₅	1	6	yes	—
1693	C₂	—	2	2	no	—
1694	C₂	—	2	6	no	—
1695	C₂	—	4	3	no	—
1696	C₂	—	4	6	no	—
1697	C₂	—	5	4	no	—
1698	C₂	—	10	2	no	—
1699	C₂	—	10	6	no	—
1700	C₂	—	20	3	no	—
1701	C₂	—	20	6	no	—
1702	C₂	C₂³×D₄×D₅	1	1	yes	characteristic
1703	C₂	C₂×D₅×H(5,𝔽₂)	1	1	yes	characteristic
1704	C₂	D₅×#585	1	1	yes	characteristic

	subgroup	G/H
center, Frattini	C₂²	C₂⁵×D₅
commutator, socle, cosocle	C₂²×C₅	C₂⁶
Fitting	C₅×#3488	C₂
hypercenter	#3488	D₅
hypocenter	C₅	C₂×#3488
LCS	G ▷ C₂²×C₅ ▷ C₅
UCS	C₁ ◁ C₂² ◁ #3488

Complements

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

N	H ≅ G/N	type
1. C₂×D₅×H(5,𝔽₂)	C₂	semidirect
2. C₂²×D₅×#41	C₂	semidirect
3. C₅×#3488	C₂	semidirect
4. #10619186	C₂	semidirect
5. #10619176	C₂	semidirect
6. D₅×#550	C₂	semidirect
7. #10618670	C₂	semidirect
8. D₅×#548	C₂	semidirect
9. #10618614	C₂	semidirect
10. D₅×#546	C₂	semidirect
11. #10618530	C₂	semidirect
12. D₄²×D₅	C₂	semidirect
13. #10618508	C₂	semidirect
14. #10618280	C₂	semidirect
15. D₅×#537	C₂	semidirect
16. #10618232	C₂	semidirect
17. D₅×#535	C₂	semidirect
18. #10617942	C₂	semidirect
19. D₅×#525	C₂	semidirect
20. #10617850	C₂	semidirect
21. C₂×D₅×#121	C₂	semidirect
22. #10617801	C₂	semidirect
23. D₅×#520	C₂	semidirect
24. C₂×C₅×H(5,𝔽₂)	C₂²	semidirect
25. C₂²×C₅×#41	C₂²	semidirect
27. C₂×#4149	C₂²	semidirect
28. C₂×#4149	C₂²	semidirect
29. C₂×#4149	C₂²	semidirect
32. C₂×D₅×#41	C₂²	semidirect
33. C₂×D₅×#41	C₂²	semidirect
34. C₂×D₅×#41	C₂²	semidirect
35. C₂×D₅×#41	C₂²	semidirect
36. C₂×D₅×#41	C₂²	semidirect
37. C₂×D₅×#41	C₂²	semidirect
38. C₂×D₅×#41	C₂²	semidirect
39. C₂×D₅×#41	C₂²	semidirect
40. C₂×D₅×#41	C₂²	semidirect
41. C₂²×#713	C₂²	semidirect
42. C₂²×Q₈×D₅	C₂²	semidirect
43. C₂×#4144	C₂²	semidirect
44. C₂×#4144	C₂²	semidirect
45. C₂²×#711	C₂²	semidirect
46. C₂²×D₄×D₅	C₂²	semidirect
47. C₂²×D₄×D₅	C₂²	semidirect
48. C₂²×D₄×D₅	C₂²	semidirect
49. C₂²×D₄×D₅	C₂²	semidirect
50. C₂²×#709	C₂²	semidirect
51. C₂³×C₄×D₅	C₂²	semidirect
52. C₅×#550	C₂²	semidirect
53. C₅×#548	C₂²	semidirect
54. C₅×#546	C₂²	semidirect
55. C₅×D₄²	C₂²	semidirect
56. C₅×#537	C₂²	semidirect
57. C₅×#535	C₂²	semidirect
58. C₅×#525	C₂²	semidirect
59. C₂×C₅×#121	C₂²	semidirect
60. C₅×#520	C₂²	semidirect
61. #66168	C₂²	semidirect
62. #66168	C₂²	semidirect
63. #66167	C₂²	semidirect
64. #66167	C₂²	semidirect
65. #66165	C₂²	semidirect
66. #66164	C₂²	semidirect
67. #66163	C₂²	semidirect
68. #66162	C₂²	semidirect
69. #66161	C₂²	semidirect
70. #66151	C₂²	semidirect
71. #66140	C₂²	semidirect
72. #66139	C₂²	semidirect
73. C₂×#4085	C₂²	semidirect
74. D₄×C₂²⋊D₅	C₂²	semidirect
75. D₄×C₂²⋊D₅	C₂²	semidirect
76. D₄×C₂²⋊D₅	C₂²	semidirect
77. C₂×#4084	C₂²	semidirect
78. #66125	C₂²	semidirect
79. C₂×#4076	C₂²	semidirect
80. #66052	C₂²	semidirect
81. #66051	C₂²	semidirect
82. #66049	C₂²	semidirect
83. D₅×#127	C₂²	semidirect
84. #66011	C₂²	semidirect
85. #66010	C₂²	semidirect
86. #66008	C₂²	semidirect
87. D₅×#124	C₂²	semidirect
88. #65990	C₂²	semidirect
89. #65988	C₂²	semidirect
90. D₅×#123	C₂²	semidirect
91. #65967	C₂²	semidirect
92. #65964	C₂²	semidirect
93. #65963	C₂²	semidirect
94. #65963	C₂²	semidirect
95. #65961	C₂²	semidirect
96. #65961	C₂²	semidirect
97. D₅×C₂²⋊Q₈	C₂²	semidirect
98. D₅×C₂²⋊Q₈	C₂²	semidirect
99. D₅×C₂²⋊Q₈	C₂²	semidirect
100. #65946	C₂²	semidirect
101. #65944	C₂²	semidirect
102. #65943	C₂²	semidirect
103. #65943	C₂²	semidirect
104. #65943	C₂²	semidirect
105. #65942	C₂²	semidirect
106. #65942	C₂²	semidirect
107. #65941	C₂²	semidirect
108. #65941	C₂²	semidirect
109. #65940	C₂²	semidirect
110. #65940	C₂²	semidirect
111. D₅×#121	C₂²	semidirect
112. D₅×#121	C₂²	semidirect
113. D₅×#121	C₂²	semidirect
114. D₅×#121	C₂²	semidirect
115. D₅×#121	C₂²	semidirect
116. D₅×#121	C₂²	semidirect
117. D₅×#121	C₂²	semidirect
118. D₅×#121	C₂²	semidirect
119. D₅×#121	C₂²	semidirect
120. D₅×#121	C₂²	semidirect
121. D₅×#121	C₂²	semidirect
122. #65933	C₂²	semidirect
123. #65933	C₂²	semidirect
124. #65932	C₂²	semidirect
125. #65931	C₂²	semidirect
126. #65926	C₂²	semidirect
127. #65925	C₂²	semidirect
128. #65924	C₂²	semidirect
129. #65924	C₂²	semidirect
130. D₅×#120	C₂²	semidirect
131. D₅×#120	C₂²	semidirect
132. #65920	C₂²	semidirect
133. #65911	C₂²	semidirect
134. #65910	C₂²	semidirect
135. #65908	C₂²	semidirect
136. C₄×Q₈×D₅	C₂²	semidirect
137. #65888	C₂²	semidirect
138. #65887	C₂²	semidirect
139. #65886	C₂²	semidirect
140. #65884	C₂²	semidirect
141. D₄×D₂₀	C₂²	semidirect
142. D₄×D₂₀	C₂²	semidirect
143. #65881	C₂²	semidirect
144. #65881	C₂²	semidirect
145. #65880	C₂²	semidirect
146. C₄×D₄×D₅	C₂²	semidirect
147. C₄×D₄×D₅	C₂²	semidirect
148. C₄×D₄×D₅	C₂²	semidirect
149. #65859	C₂²	semidirect
150. #65858	C₂²	semidirect
151. #65857	C₂²	semidirect
152. D₅×#117	C₂²	semidirect
153. #65844	C₂²	semidirect
154. C₂×#4041	C₂²	semidirect
155. #65838	C₂²	semidirect
156. C₂×D₅×C₄⋊C₄	C₂²	semidirect
157. #65824	C₂²	semidirect
158. C₂×#4030	C₂²	semidirect
159. C₂×D₅×C₂²⋊C₄	C₂²	semidirect
166. C₂×C₅×#41	C₂³	semidirect
167. C₂×C₅×#41	C₂³	semidirect
168. C₂×C₅×#41	C₂³	semidirect
169. C₂×C₅×#41	C₂³	semidirect
170. C₂×C₅×#41	C₂³	semidirect
171. C₂²×C₅×Q₈	C₂³	semidirect
172. C₂²×C₅×D₄	C₂³	semidirect
173. C₂²×C₅×D₄	C₂³	semidirect
174. C₂²×C₅×D₄	C₂³	semidirect
175. C₂²×C₅×D₄	C₂³	semidirect
176. C₂³×C₄×C₅	C₂³	semidirect
177. C₂²×C₂²⋊D₅	C₂³	semidirect
178. C₂²×C₂²⋊D₅	C₂³	semidirect
179. C₂²×C₂²⋊D₅	C₂³	semidirect
180. C₂²×C₂²⋊D₅	C₂³	semidirect
181. C₂²×C₂²⋊D₅	C₂³	semidirect
182. C₂³×Dic₅	C₂³	semidirect
195. D₅×#41	D₄	semidirect
198. C₂×#713	C₂³	semidirect
199. C₂×#713	C₂³	semidirect
200. C₂×#713	C₂³	semidirect
201. C₂×#713	C₂³	semidirect
202. C₂×#713	C₂³	semidirect
207. C₂×Q₈×D₅	C₂³	semidirect
208. C₂×Q₈×D₅	C₂³	semidirect
213. C₂×#711	C₂³	semidirect
214. C₂×#711	C₂³	semidirect
215. C₂×#711	C₂³	semidirect
216. C₂×#711	C₂³	semidirect
217. C₂×#711	C₂³	semidirect
218. C₂×#711	C₂³	semidirect
219. C₂×#711	C₂³	semidirect
220. C₂×#711	C₂³	semidirect
234. C₂×D₄×D₅	C₂³	semidirect
235. C₂×D₄×D₅	C₂³	semidirect
236. C₂×D₄×D₅	C₂³	semidirect
237. C₂×D₄×D₅	C₂³	semidirect
238. C₂×D₄×D₅	C₂³	semidirect
239. C₂×D₄×D₅	C₂³	semidirect
240. C₂×D₄×D₅	C₂³	semidirect
241. C₂×D₄×D₅	C₂³	semidirect
242. C₂×D₄×D₅	C₂³	semidirect
243. C₂×D₄×D₅	C₂³	semidirect
246. C₂×#709	C₂³	semidirect
247. C₂×#709	C₂³	semidirect
248. C₂×#709	C₂³	semidirect
249. C₂×#709	C₂³	semidirect
250. C₂×#709	C₂³	semidirect
251. C₂×#709	C₂³	semidirect
252. C₂×#709	C₂³	semidirect
253. C₂×#709	C₂³	semidirect
254. C₂²×D₂₀	C₂³	semidirect
255. C₂²×D₂₀	C₂³	semidirect
256. C₂²×D₂₀	C₂³	semidirect
257. C₂²×D₂₀	C₂³	semidirect
267. C₂²×C₄×D₅	C₂³	semidirect
268. C₂²×C₄×D₅	C₂³	semidirect
269. C₂²×C₄×D₅	C₂³	semidirect
270. C₂²×C₄×D₅	C₂³	semidirect
271. C₂²×C₄×D₅	C₂³	semidirect
272. C₂²×C₄×D₅	C₂³	semidirect
273. C₂²×Dic₁₀	C₂³	semidirect
274. C₅×#127	C₂³	semidirect
275. C₅×#124	C₂³	semidirect
276. C₅×#123	C₂³	semidirect
277. C₅×C₂²⋊Q₈	C₂³	semidirect
278. C₅×C₂²⋊Q₈	C₂³	semidirect
279. C₅×C₂²⋊Q₈	C₂³	semidirect
280. C₅×#121	C₂³	semidirect
281. C₅×#121	C₂³	semidirect
282. C₅×#121	C₂³	semidirect
283. C₅×#121	C₂³	semidirect
284. C₅×#121	C₂³	semidirect
285. C₅×#121	C₂³	semidirect
286. C₅×#121	C₂³	semidirect
287. C₅×#120	C₂³	semidirect
288. C₅×#120	C₂³	semidirect
289. C₄×C₅×Q₈	C₂³	semidirect
290. C₄×C₅×D₄	C₂³	semidirect
291. C₄×C₅×D₄	C₂³	semidirect
292. C₄×C₅×D₄	C₂³	semidirect
293. C₅×#117	C₂³	semidirect
294. C₂×C₅×C₄⋊C₄	C₂³	semidirect
295. C₂×C₅×C₂²⋊C₄	C₂³	semidirect
296. #4099	C₂³	semidirect
297. #4099	C₂³	semidirect
298. C₂×C₂²⋊Dic₅	C₂³	semidirect
299. #4093	C₂³	semidirect
300. #4092	C₂³	semidirect
301. #4092	C₂³	semidirect
302. #4092	C₂³	semidirect
303. Q₈×Dic₅	C₂³	semidirect
304. #4086	C₂³	semidirect
305. #4086	C₂³	semidirect
306. #4086	C₂³	semidirect
307. #4086	C₂³	semidirect
308. #4085	C₂³	semidirect
309. #4085	C₂³	semidirect
310. #4085	C₂³	semidirect
311. #4085	C₂³	semidirect
312. #4085	C₂³	semidirect
313. #4085	C₂³	semidirect
314. #4085	C₂³	semidirect
315. #4085	C₂³	semidirect
316. #4084	C₂³	semidirect
317. #4084	C₂³	semidirect
318. #4084	C₂³	semidirect
319. #4084	C₂³	semidirect
320. #4084	C₂³	semidirect
321. #4084	C₂³	semidirect
322. #4084	C₂³	semidirect
323. #4083	C₂³	semidirect
324. #4083	C₂³	semidirect
325. #4083	C₂³	semidirect
326. #4083	C₂³	semidirect
327. #4083	C₂³	semidirect
328. #4083	C₂³	semidirect
329. #4082	C₂³	semidirect
330. #4081	C₂³	semidirect
331. D₄×Dic₅	C₂³	semidirect
332. D₄×Dic₅	C₂³	semidirect
333. D₄×Dic₅	C₂³	semidirect
334. #4076	C₂³	semidirect
335. #4076	C₂³	semidirect
336. #4076	C₂³	semidirect
337. #4076	C₂³	semidirect
338. #4076	C₂³	semidirect
339. #4076	C₂³	semidirect
340. #4076	C₂³	semidirect
341. #4075	C₂³	semidirect
342. C₄×C₂²⋊D₅	C₂³	semidirect
343. C₄×C₂²⋊D₅	C₂³	semidirect
344. C₄×C₂²⋊D₅	C₂³	semidirect
345. C₄×C₂²⋊D₅	C₂³	semidirect
346. C₄×C₂²⋊D₅	C₂³	semidirect
347. C₂×#685	C₂³	semidirect
348. C₂×#685	C₂³	semidirect
349. #4072	C₂³	semidirect
350. C₂×C₄⋊Dic₅	C₂³	semidirect
351. #4070	C₂³	semidirect
352. #4070	C₂³	semidirect
353. #4070	C₂³	semidirect
354. C₂×#683	C₂³	semidirect
355. #4043	C₂³	semidirect
356. #4043	C₂³	semidirect
357. #4043	C₂³	semidirect
358. #4042	C₂³	semidirect
359. #4042	C₂³	semidirect
360. #4042	C₂³	semidirect
361. #4041	C₂³	semidirect
362. #4041	C₂³	semidirect
363. #4041	C₂³	semidirect
364. #4041	C₂³	semidirect
365. #4041	C₂³	semidirect
366. #4041	C₂³	semidirect
367. #4041	C₂³	semidirect
368. #4040	C₂³	semidirect
369. #4040	C₂³	semidirect
370. #4039	C₂³	semidirect
371. #4039	C₂³	semidirect
372. #4039	C₂³	semidirect
373. #4038	C₂³	semidirect
374. #4038	C₂³	semidirect
380. D₅×C₄⋊C₄	C₂³	semidirect
381. D₅×C₄⋊C₄	C₂³	semidirect
382. #4033	C₂³	semidirect
383. #4032	C₂³	semidirect
384. #4031	C₂³	semidirect
385. #4031	C₂³	semidirect
386. #4030	C₂³	semidirect
387. #4030	C₂³	semidirect
388. #4030	C₂³	semidirect
389. #4030	C₂³	semidirect
390. #4030	C₂³	semidirect
391. #4030	C₂³	semidirect
392. #4030	C₂³	semidirect
393. #4030	C₂³	semidirect
394. #4029	C₂³	semidirect
395. #4029	C₂³	semidirect
396. #4028	C₂³	semidirect
397. #4028	C₂³	semidirect
398. #4028	C₂³	semidirect
399. #4028	C₂³	semidirect
400. #4028	C₂³	semidirect
401. #4028	C₂³	semidirect
402. #4027	C₂³	semidirect
403. #4027	C₂³	semidirect
404. #4027	C₂³	semidirect
405. #4027	C₂³	semidirect
406. #4027	C₂³	semidirect
413. D₅×C₂²⋊C₄	C₂³	semidirect
414. D₅×C₂²⋊C₄	C₂³	semidirect
415. #4024	C₂³	semidirect
416. #4024	C₂³	semidirect
417. #4024	C₂³	semidirect
418. #4023	C₂³	semidirect
419. #4021	C₂³	semidirect
420. #4020	C₂³	semidirect
421. C₄×D₂₀	C₂³	semidirect
422. C₄×D₂₀	C₂³	semidirect
423. C₄×D₂₀	C₂³	semidirect
424. #4018	C₂³	semidirect
426. C₄×Dic₁₀	C₂³	semidirect
440. #3488	D₅	direct (N × H)
472. C₅×#41	C₂×D₄	semidirect
532. #713	C₂×D₄	semidirect
537. Q₈×D₅	C₂×D₄	semidirect
546. #711	C₂×D₄	semidirect
565. D₄×D₅	C₂×D₄	semidirect
574. #709	C₂×D₄	semidirect
601. C₂×C₄×D₅	C₂×D₄	semidirect
681. C₂×H(5,𝔽₂)	C₂×D₅	semidirect
696. C₂²×#41	C₂×D₅	semidirect
710. #550	C₂×D₅	semidirect
718. #548	C₂×D₅	semidirect
730. #546	C₂×D₅	semidirect
742. D₄²	C₂×D₅	semidirect
751. #537	C₂×D₅	semidirect
760. #535	C₂×D₅	semidirect
774. #525	C₂×D₅	semidirect
795. C₂×#121	C₂×D₅	semidirect
803. #520	C₂×D₅	semidirect
849. C₂²×D₅	H(5,𝔽₂)	semidirect
857. C₅×Q₈	C₂²×D₄	semidirect
866. C₅×D₄	C₂²×D₄	semidirect
874. C₂×C₄×C₅	C₂²×D₄	semidirect
895. C₂²⋊D₅	C₂²×D₄	semidirect
903. C₂×Dic₅	C₂²×D₄	semidirect
919. D₂₀	C₂²×D₄	semidirect
940. C₄×D₅	C₂²×D₄	semidirect
941. C₄×D₅	C₂²×D₄	semidirect
946. Dic₁₀	C₂²×D₄	semidirect
994. C₂×#41	C₂²×D₅	semidirect
995. C₂×#41	C₂²×D₅	semidirect
996. C₂×#41	C₂²×D₅	semidirect
997. C₂×#41	C₂²×D₅	semidirect
998. C₂×#41	C₂²×D₅	semidirect
1006. C₂²×Q₈	C₂²×D₅	semidirect
1039. C₂²×D₄	C₂²×D₅	semidirect
1040. C₂²×D₄	C₂²×D₅	semidirect
1041. C₂²×D₄	C₂²×D₅	semidirect
1042. C₂²×D₄	C₂²×D₅	semidirect
1059. C₂³×C₄	C₂²×D₅	semidirect
1065. #127	C₂²×D₅	semidirect
1071. #124	C₂²×D₅	semidirect
1079. #123	C₂²×D₅	semidirect
1095. C₂²⋊Q₈	C₂²×D₅	semidirect
1096. C₂²⋊Q₈	C₂²×D₅	semidirect
1097. C₂²⋊Q₈	C₂²×D₅	semidirect
1135. #121	C₂²×D₅	semidirect
1136. #121	C₂²×D₅	semidirect
1137. #121	C₂²×D₅	semidirect
1138. #121	C₂²×D₅	semidirect
1139. #121	C₂²×D₅	semidirect
1140. #121	C₂²×D₅	semidirect
1141. #121	C₂²×D₅	semidirect
1156. #120	C₂²×D₅	semidirect
1157. #120	C₂²×D₅	semidirect
1161. C₄×Q₈	C₂²×D₅	semidirect
1181. C₄×D₄	C₂²×D₅	semidirect
1182. C₄×D₄	C₂²×D₅	semidirect
1183. C₄×D₄	C₂²×D₅	semidirect
1189. #117	C₂²×D₅	semidirect
1199. C₂×C₄⋊C₄	C₂²×D₅	semidirect
1211. C₂×C₂²⋊C₄	C₂²×D₅	semidirect
1226. C₂²×C₅	C₂×H(5,𝔽₂)	semidirect
1250. C₂×D₅	C₂×H(5,𝔽₂)	semidirect
1312. #41	D₄×D₅	semidirect
1502. D₅	#3488	direct (N × H)
1554. Q₈	C₂×D₄×D₅	semidirect
1586. D₄	C₂×D₄×D₅	semidirect
1631. C₂×C₄	C₂×D₄×D₅	semidirect
1639. C₅	C₂×#3488	semidirect
1677. C₂²	D₅×H(5,𝔽₂)	semidirect

Maximal subgroups

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

subgroup	index
C₂×D₅×H(5,𝔽₂)	2
C₂²×D₅×#41	2
C₅×#3488	2
#10619186	2
#10619176	2
D₅×#550	2
#10618670	2
D₅×#548	2
#10618614	2
D₅×#546	2
#10618530	2
D₄²×D₅	2
#10618508	2
#10618280	2
D₅×#537	2
#10618232	2
D₅×#535	2
#10617942	2
D₅×#525	2
#10617850	2
C₂×D₅×#121	2
#10617801	2
D₅×#520	2
C₂×#3488	5

Subgroups — D5×#3488 #13007603

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — D₅×#3488 #13007603