Subgroups — D₅×#3496 #13007185

Order 1280.

12378 conjugacy classes of subgroups.

The subgroup lattice has 1316 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	2	yes	maximal, complemented
2	C₅×#3496	C₂	1	1	yes	maximal, characteristic, complemented
3	#10619182	C₂	1	2	yes	maximal, complemented
4	#10618603	C₂	1	4	yes	maximal, complemented
5	D₅×#547	C₂	1	4	yes	maximal, complemented
6	#10618566	C₂	1	8	yes	maximal, complemented
7	D₅×#546	C₂	1	8	yes	maximal, complemented
8	#10618522	C₂	1	4	yes	maximal, complemented
9	D₄²×D₅	C₂	1	4	yes	maximal, complemented
10	#10618283	C₂	1	2	yes	maximal, complemented
11	D₅×#537	C₂	1	2	yes	maximal, complemented
12	D₅×#534	C₂	1	4	yes	maximal, complemented
13	#10618199	C₂	1	4	yes	maximal, complemented
14	#10618142	C₂	1	2	yes	maximal, complemented
15	D₅×#532	C₂	1	2	yes	maximal, complemented
16	#10617851	C₂	1	4	yes	maximal, complemented
17	C₂×D₅×#121	C₂	1	4	yes	maximal, complemented
18	#10617687	C₂	1	1	yes	maximal, characteristic, complemented
19	C₂×C₄×D₄×D₅	C₂	1	1	yes	maximal, characteristic, complemented
20	C₂×C₅×H(5,𝔽₂)	C₂²	1	2	yes	complemented
21	D₅×H(5,𝔽₂)	—	2	32	no	—
22	C₂×#4149	C₂²	1	4	yes	complemented
23	C₂×#4149	C₂²	1	8	yes	complemented
24	C₂×D₅×#41	C₂²	1	4	yes	complemented
25	C₂×D₅×#41	C₂²	1	8	yes	complemented
26	C₂×#4144	C₂²	1	8	yes	complemented
27	C₂×#4144	C₂²	1	8	yes	complemented
28	C₂×#4144	C₂²	1	2	yes	complemented
29	C₂²×D₄×D₅	C₂²	1	1	yes	characteristic
30	C₂²×D₄×D₅	C₂²	1	8	yes	complemented
31	C₂²×D₄×D₅	C₂²	1	8	yes	complemented
32	C₂²×D₄×D₅	C₂²	1	4	yes	complemented
33	C₂³×C₄×D₅	C₂²	1	2	yes	complemented
34	C₅×#547	C₂²	1	4	yes	complemented
35	C₅×#546	C₂²	1	8	yes	complemented
36	C₅×D₄²	C₂²	1	4	yes	complemented
37	C₅×#537	C₂²	1	2	yes	complemented
38	C₅×#534	C₂²	1	4	yes	complemented
39	C₅×#532	C₂²	1	2	yes	complemented
40	C₂×C₅×#121	C₂²	1	4	yes	complemented
41	C₂×C₄×C₅×D₄	C₂²	1	1	yes	characteristic, complemented
42	#66167	C₂²	1	4	yes	complemented
43	#66166	C₂²	1	4	yes	complemented
44	#66163	C₂²	1	8	yes	complemented
45	#66158	C₂²	1	8	yes	complemented
46	#66140	C₂²	1	8	yes	complemented
47	#66138	C₂²	1	8	yes	complemented
48	C₂×#4085	C₂²	1	8	yes	complemented
49	D₄×C₂²⋊D₅	C₂²	1	8	yes	complemented
50	D₄×C₂²⋊D₅	C₂²	1	8	yes	complemented
51	C₂×#4084	C₂²	1	4	yes	complemented
52	C₂×D₄×Dic₅	C₂²	1	1	yes	characteristic, complemented
53	C₂×#4076	C₂²	1	4	yes	complemented
54	C₂×C₄×C₂²⋊D₅	C₂²	1	2	yes	complemented
55	#66060	C₂²	1	4	yes	complemented
56	#66059	C₂²	1	2	yes	complemented
57	D₅×C₄⋊Q₈	C₂²	1	2	yes	complemented
58	#66051	C₂²	1	4	yes	complemented
59	#66050	C₂²	1	2	yes	complemented
60	D₅×#127	C₂²	1	2	yes	complemented
61	#66010	C₂²	1	8	yes	complemented
62	D₅×#124	C₂²	1	4	yes	complemented
63	#66002	C₂²	1	4	yes	complemented
64	#65989	C₂²	1	16	yes	complemented
65	#65988	C₂²	1	16	yes	complemented
66	#65987	C₂²	1	16	yes	complemented
67	D₅×#123	C₂²	1	16	yes	complemented
68	#65965	C₂²	1	8	yes	complemented
69	#65964	C₂²	1	8	yes	complemented
70	#65963	C₂²	1	8	yes	complemented
71	D₅×C₂²⋊Q₈	C₂²	1	8	yes	complemented
72	#65946	C₂²	1	8	yes	complemented
73	#65945	C₂²	1	8	yes	complemented
74	#65944	C₂²	1	16	yes	complemented
75	#65943	C₂²	1	8	yes	complemented
76	#65943	C₂²	1	8	yes	complemented
77	#65942	C₂²	1	8	yes	complemented
78	#65939	C₂²	1	8	yes	complemented
79	#65939	C₂²	1	8	yes	complemented
80	D₅×#121	C₂²	1	4	yes	complemented
81	D₅×#121	C₂²	1	4	yes	complemented
82	D₅×#121	C₂²	1	8	yes	complemented
83	D₅×#121	C₂²	1	8	yes	complemented
84	D₅×#121	C₂²	1	8	yes	complemented
85	D₅×#121	C₂²	1	8	yes	complemented
86	D₅×#121	C₂²	1	8	yes	complemented
87	D₅×#121	C₂²	1	8	yes	complemented
88	D₅×#121	C₂²	1	8	yes	complemented
89	D₅×#121	C₂²	1	8	yes	complemented
90	#65931	C₂²	1	8	yes	complemented
91	#65930	C₂²	1	4	yes	complemented
92	#65930	C₂²	1	4	yes	complemented
93	#65925	C₂²	1	16	yes	complemented
94	#65924	C₂²	1	16	yes	complemented
95	#65923	C₂²	1	16	yes	complemented
96	D₅×#120	C₂²	1	16	yes	complemented
97	#65889	C₂²	1	4	yes	complemented
98	#65888	C₂²	1	8	yes	complemented
99	#65885	C₂²	1	4	yes	complemented
100	#65884	C₂²	1	8	yes	complemented
101	D₄×D₂₀	C₂²	1	4	yes	complemented
102	D₄×D₂₀	C₂²	1	4	yes	complemented
103	#65882	C₂²	1	4	yes	complemented
104	#65882	C₂²	1	4	yes	complemented
105	C₄×D₄×D₅	C₂²	1	4	yes	complemented
106	C₄×D₄×D₅	C₂²	1	4	yes	complemented
107	C₄×D₄×D₅	C₂²	1	4	yes	complemented
108	C₄×D₄×D₅	C₂²	1	4	yes	complemented
109	C₄×D₄×D₅	C₂²	1	4	yes	complemented
110	C₄×D₄×D₅	C₂²	1	4	yes	complemented
111	#65844	C₂²	1	2	yes	complemented
112	#65841	C₂²	1	8	yes	complemented
113	C₂×#4041	C₂²	1	4	yes	complemented
114	C₂×#4039	C₂²	1	1	yes	characteristic, complemented
115	C₂×D₅×C₄⋊C₄	C₂²	1	1	yes	characteristic, complemented
116	C₂×D₅×C₄⋊C₄	C₂²	1	4	yes	complemented
117	#65827	C₂²	1	4	yes	complemented
118	#65824	C₂²	1	16	yes	complemented
119	C₂×#4030	C₂²	1	8	yes	complemented
120	C₂×#4027	C₂²	1	2	yes	complemented
121	C₂×D₅×C₂²⋊C₄	C₂²	1	2	yes	complemented
122	C₂×D₅×C₂²⋊C₄	C₂²	1	8	yes	complemented
123	#65811	C₂²	1	2	yes	complemented
124	C₂×C₄×D₂₀	C₂²	1	1	yes	characteristic, complemented
125	C₂×C₄²×D₅	C₂²	1	1	yes	characteristic, complemented
126	C₂×#3496	—	5	1	no	maximal, Sylow
127	C₂⁴×D₅	C₂³	1	8	yes	—
128	C₂⁴×D₅	C₂³	1	2	yes	—
129	C₅×H(5,𝔽₂)	—	2	16	no	—
130	C₂×C₅×#41	C₂³	1	8	yes	complemented
131	C₂×C₅×#41	C₂³	1	4	yes	complemented
132	C₂²×C₅×D₄	C₂³	1	1	yes	characteristic
133	C₂²×C₅×D₄	C₂³	1	8	yes	complemented
134	C₂²×C₅×D₄	C₂³	1	8	yes	complemented
135	C₂²×C₅×D₄	C₂³	1	4	yes	complemented
136	C₂³×C₄×C₅	C₂³	1	2	yes	complemented
137	C₂²×C₂²⋊D₅	C₂³	1	2	yes	—
138	C₂²×C₂²⋊D₅	C₂³	1	8	yes	complemented
139	C₂²×C₂²⋊D₅	C₂³	1	16	yes	complemented
140	C₂²×C₂²⋊D₅	C₂³	1	8	yes	complemented
141	C₂²×C₂²⋊D₅	C₂³	1	8	yes	complemented
142	C₂³×Dic₅	C₂³	1	2	yes	complemented
143	#4149	—	2	64	no	—
144	#4149	—	2	32	no	—
145	D₅×#41	—	2	64	no	—
146	D₅×#41	—	2	32	no	—
147	C₂×#713	C₂³	1	4	yes	complemented
148	C₂×#713	C₂³	1	8	yes	complemented
149	C₂×Q₈×D₅	C₂³	1	4	yes	—
150	#4144	—	2	16	no	—
151	#4144	—	2	64	no	—
152	#4144	—	2	64	no	—
153	C₂×#711	C₂³	1	4	yes	complemented
154	C₂×#711	C₂³	1	8	yes	complemented
155	C₂×#711	C₂³	1	16	yes	complemented
156	C₂×#711	C₂³	1	8	yes	complemented
157	C₂×D₄×D₅	—	2	64	no	—
158	C₂×D₄×D₅	—	2	64	no	—
159	C₂×D₄×D₅	—	4	16	no	—
160	C₂×D₄×D₅	D₄	1	16	yes	complemented
161	C₂×D₄×D₅	C₂³	1	4	yes	—
162	C₂×D₄×D₅	C₂³	1	4	yes	—
163	C₂×D₄×D₅	C₂³	1	16	yes	—
164	C₂×D₄×D₅	C₂³	1	8	yes	—
165	C₂×D₄×D₅	C₂³	1	4	yes	—
166	C₂×D₄×D₅	C₂³	1	8	yes	—
167	C₂×D₄×D₅	C₂³	1	4	yes	—
168	C₂×D₄×D₅	C₂³	1	4	yes	—
169	C₂×D₄×D₅	C₂³	1	8	yes	complemented
170	C₂×D₄×D₅	C₂³	1	8	yes	complemented
171	C₂×D₄×D₅	C₂³	1	16	yes	complemented
172	C₂×D₄×D₅	C₂³	1	16	yes	complemented
173	C₂×D₄×D₅	C₂³	1	16	yes	complemented
174	C₂×D₄×D₅	C₂³	1	8	yes	complemented
175	C₂×D₄×D₅	C₂³	1	8	yes	complemented
176	C₂×#709	C₂³	1	4	yes	complemented
177	C₂×#709	C₂³	1	16	yes	complemented
178	C₂×#709	C₂³	1	8	yes	complemented
179	C₂×#709	C₂³	1	8	yes	complemented
180	C₂²×D₂₀	C₂³	1	1	yes	characteristic
181	C₂²×D₂₀	C₂³	1	8	yes	complemented
182	C₂²×D₂₀	C₂³	1	8	yes	complemented
183	C₂²×D₂₀	C₂³	1	4	yes	complemented
184	C₂²×C₄×D₅	—	4	8	no	—
185	C₂²×C₄×D₅	C₂³	1	1	yes	characteristic
186	C₂²×C₄×D₅	C₂³	1	8	yes	—
187	C₂²×C₄×D₅	C₂³	1	4	yes	—
188	C₂²×C₄×D₅	C₂³	1	8	yes	—
189	C₂²×C₄×D₅	C₂³	1	1	yes	characteristic
190	C₂²×C₄×D₅	C₂³	1	4	yes	—
191	C₂²×C₄×D₅	C₂³	1	2	yes	—
192	C₂²×C₄×D₅	C₂³	1	1	yes	characteristic
193	C₂²×C₄×D₅	C₂³	1	2	yes	complemented
194	C₂²×C₄×D₅	C₂³	1	2	yes	complemented
195	C₂²×C₄×D₅	C₂³	1	4	yes	complemented
196	C₂²×C₄×D₅	C₂³	1	4	yes	complemented
197	C₅×C₄⋊Q₈	C₂³	1	2	yes	complemented
198	C₅×#127	C₂³	1	2	yes	complemented
199	C₅×#124	C₂³	1	4	yes	complemented
200	C₅×#123	C₂³	1	16	yes	complemented
201	C₅×C₂²⋊Q₈	C₂³	1	8	yes	complemented
202	C₅×#121	C₂³	1	4	yes	complemented
203	C₅×#121	C₂³	1	4	yes	complemented
204	C₅×#121	C₂³	1	8	yes	complemented
205	C₅×#121	C₂³	1	8	yes	complemented
206	C₅×#121	C₂³	1	8	yes	complemented
207	C₅×#121	C₂³	1	8	yes	complemented
208	C₅×#120	C₂³	1	16	yes	complemented
209	C₄×C₅×D₄	C₂³	1	4	yes	complemented
210	C₄×C₅×D₄	C₂³	1	4	yes	complemented
211	C₄×C₅×D₄	C₂³	1	4	yes	complemented
212	C₄×C₅×D₄	C₂³	1	4	yes	complemented
213	C₂×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic, complemented
214	C₂×C₅×C₄⋊C₄	C₂³	1	4	yes	complemented
215	C₂×C₅×C₂²⋊C₄	C₂³	1	2	yes	complemented
216	C₂×C₅×C₂²⋊C₄	C₂³	1	8	yes	complemented
217	C₂×C₄²×C₅	C₂³	1	1	yes	characteristic, complemented
218	#4099	C₂³	1	16	yes	complemented
219	C₂×C₂²⋊Dic₅	C₂³	1	2	yes	complemented
220	C₂×C₂²⋊Dic₅	C₂³	1	8	yes	complemented
221	#4093	C₂³	1	4	yes	complemented
222	#4092	C₂³	1	8	yes	complemented
223	#4090	C₂³	1	4	yes	complemented
224	#4086	C₂³	1	4	yes	complemented
225	#4086	C₂³	1	4	yes	complemented
226	#4086	C₂³	1	4	yes	complemented
227	#4085	C₂³	1	16	yes	complemented
228	#4085	C₂³	1	16	yes	complemented
229	#4085	C₂³	1	8	yes	complemented
230	#4085	C₂³	1	16	yes	complemented
231	#4085	C₂³	1	16	yes	complemented
232	#4085	C₂³	1	8	yes	complemented
233	#4084	C₂³	1	4	yes	complemented
234	#4084	C₂³	1	4	yes	complemented
235	#4084	C₂³	1	8	yes	complemented
236	#4084	C₂³	1	8	yes	complemented
237	#4084	C₂³	1	8	yes	complemented
238	#4084	C₂³	1	8	yes	complemented
239	#4083	C₂³	1	16	yes	complemented
240	#4083	C₂³	1	16	yes	complemented
241	#4083	C₂³	1	16	yes	complemented
242	#4082	C₂³	1	4	yes	complemented
243	#4081	C₂³	1	16	yes	complemented
244	D₄×Dic₅	C₂³	1	4	yes	complemented
245	D₄×Dic₅	C₂³	1	4	yes	complemented
246	D₄×Dic₅	C₂³	1	4	yes	complemented
247	D₄×Dic₅	C₂³	1	4	yes	complemented
248	#4076	C₂³	1	4	yes	complemented
249	#4076	C₂³	1	4	yes	complemented
250	#4076	C₂³	1	8	yes	complemented
251	#4076	C₂³	1	8	yes	complemented
252	#4076	C₂³	1	8	yes	complemented
253	#4076	C₂³	1	8	yes	complemented
254	#4075	C₂³	1	16	yes	complemented
255	C₄×C₂²⋊D₅	C₂³	1	8	yes	complemented
256	C₄×C₂²⋊D₅	C₂³	1	8	yes	complemented
257	C₄×C₂²⋊D₅	C₂³	1	8	yes	complemented
258	C₄×C₂²⋊D₅	C₂³	1	8	yes	complemented
259	C₂×#685	C₂³	1	2	yes	complemented
260	C₂×#685	C₂³	1	8	yes	complemented
261	C₂×#685	C₂³	1	2	yes	complemented
262	C₂×#685	C₂³	1	8	yes	complemented
263	C₂×C₄⋊Dic₅	C₂³	1	1	yes	characteristic, complemented
264	C₂×C₄⋊Dic₅	C₂³	1	4	yes	complemented
265	#4070	C₂³	1	8	yes	complemented
266	C₂×#683	C₂³	1	2	yes	complemented
267	C₂×#683	C₂³	1	8	yes	complemented
268	C₂×C₄×Dic₅	C₂³	1	1	yes	characteristic, complemented
269	C₂×C₄×Dic₅	C₂³	1	1	yes	characteristic, complemented
270	C₂×C₄×Dic₅	C₂³	1	1	yes	characteristic, complemented
271	#4043	C₂³	1	8	yes	complemented
272	#4042	C₂³	1	16	yes	complemented
273	#4041	C₂³	1	4	yes	complemented
274	#4041	C₂³	1	4	yes	complemented
275	#4041	C₂³	1	8	yes	complemented
276	#4041	C₂³	1	8	yes	complemented
277	#4041	C₂³	1	8	yes	complemented
278	#4041	C₂³	1	8	yes	complemented
279	#4040	C₂³	1	16	yes	complemented
280	#4040	C₂³	1	16	yes	complemented
281	#4039	C₂³	1	4	yes	complemented
282	#4039	C₂³	1	4	yes	complemented
283	#4039	C₂³	1	4	yes	complemented
284	#4039	C₂³	1	4	yes	complemented
285	D₅×C₄⋊C₄	C₂³	1	4	yes	—
286	D₅×C₄⋊C₄	C₂³	1	4	yes	—
287	D₅×C₄⋊C₄	C₂³	1	4	yes	—
288	D₅×C₄⋊C₄	C₂³	1	8	yes	—
289	D₅×C₄⋊C₄	C₂³	1	8	yes	complemented
290	D₅×C₄⋊C₄	C₂³	1	4	yes	complemented
291	D₅×C₄⋊C₄	C₂³	1	8	yes	complemented
292	#4034	C₂³	1	4	yes	complemented
293	#4034	C₂³	1	4	yes	complemented
294	#4032	C₂³	1	16	yes	complemented
295	#4031	C₂³	1	8	yes	complemented
296	#4031	C₂³	1	8	yes	complemented
297	#4030	C₂³	1	8	yes	complemented
298	#4030	C₂³	1	16	yes	complemented
299	#4030	C₂³	1	16	yes	complemented
300	#4030	C₂³	1	16	yes	complemented
301	#4030	C₂³	1	16	yes	complemented
302	#4030	C₂³	1	8	yes	complemented
303	#4029	C₂³	1	16	yes	complemented
304	#4029	C₂³	1	16	yes	complemented
305	#4028	C₂³	1	16	yes	complemented
306	#4028	C₂³	1	16	yes	complemented
307	#4028	C₂³	1	16	yes	complemented
308	#4027	C₂³	1	8	yes	complemented
309	#4027	C₂³	1	8	yes	complemented
310	#4027	C₂³	1	8	yes	complemented
311	#4027	C₂³	1	8	yes	complemented
312	D₅×C₂²⋊C₄	C₂³	1	8	yes	—
313	D₅×C₂²⋊C₄	C₂³	1	8	yes	—
314	D₅×C₂²⋊C₄	C₂³	1	16	yes	—
315	D₅×C₂²⋊C₄	C₂³	1	8	yes	—
316	D₅×C₂²⋊C₄	C₂³	1	16	yes	complemented
317	D₅×C₂²⋊C₄	C₂³	1	8	yes	complemented
318	D₅×C₂²⋊C₄	C₂³	1	16	yes	complemented
319	#4024	C₂³	1	16	yes	complemented
320	#4021	C₂³	1	4	yes	complemented
321	#4020	C₂³	1	2	yes	complemented
322	C₄×D₂₀	C₂³	1	4	yes	complemented
323	C₄×D₂₀	C₂³	1	4	yes	complemented
324	C₄×D₂₀	C₂³	1	4	yes	complemented
325	C₄×D₂₀	C₂³	1	4	yes	complemented
326	C₄²×D₅	C₂³	1	2	yes	—
327	C₄²×D₅	C₂³	1	2	yes	—
328	C₄²×D₅	C₂³	1	2	yes	complemented
329	C₄²×D₅	C₂³	1	2	yes	complemented
330	#4015	C₂³	1	2	yes	complemented
331	C₂²×H(5,𝔽₂)	—	5	2	no	—
332	#3496	—	5	2	no	—
333	#3496	—	5	4	no	—
334	#3496	—	5	8	no	—
335	#3496	—	5	4	no	—
336	#3496	—	5	2	no	—
337	#3496	—	5	4	no	—
338	#3496	—	5	2	no	—
339	#3496	—	5	4	no	—
340	#3496	—	5	1	no	—
341	#3496	D₅	1	1	yes	characteristic, direct product factor
342	C₂×#547	—	5	4	no	—
343	C₂×#546	—	5	8	no	—
344	C₂×D₄²	—	5	4	no	—
345	C₂×#537	—	5	2	no	—
346	C₂×#534	—	5	4	no	—
347	C₂×#532	—	5	2	no	—
348	C₂²×#121	—	5	4	no	—
349	C₂²×C₄×D₄	—	5	1	no	—
350	C₂⁴×C₅	C₂⁴	1	8	yes	—
351	C₂⁴×C₅	C₂⁴	1	2	yes	—
352	C₂³×D₅	—	2	32	no	—
353	C₂³×D₅	—	4	4	no	—
354	C₂³×D₅	—	4	4	no	—
355	C₂³×D₅	—	4	16	no	—
356	C₂³×D₅	—	4	16	no	—
357	C₂³×D₅	C₂×D₄	1	16	yes	complemented
358	C₂³×D₅	C₂⁴	1	8	yes	—
359	C₂³×D₅	C₂⁴	1	1	yes	characteristic
360	C₂³×D₅	C₂⁴	1	4	yes	—
361	C₂³×D₅	C₂⁴	1	8	yes	—
362	C₂³×D₅	C₂⁴	1	16	yes	—
363	C₂³×D₅	C₂⁴	1	2	yes	—
364	C₂³×D₅	C₂⁴	1	4	yes	—
365	C₅×#41	—	2	32	no	—
366	C₅×#41	—	2	16	no	—
367	C₂×C₅×Q₈	C₂⁴	1	4	yes	—
368	C₂×C₅×D₄	—	2	32	no	—
369	C₂×C₅×D₄	—	2	32	no	—
370	C₂×C₅×D₄	—	4	8	no	—
371	C₂×C₅×D₄	C₂×D₄	1	8	yes	complemented
372	C₂×C₅×D₄	C₂⁴	1	4	yes	—
373	C₂×C₅×D₄	C₂⁴	1	16	yes	—
374	C₂×C₅×D₄	C₂⁴	1	8	yes	—
375	C₂×C₅×D₄	C₂⁴	1	4	yes	—
376	C₂×C₅×D₄	C₂⁴	1	4	yes	—
377	C₂×C₅×D₄	C₂⁴	1	8	yes	—
378	C₂×C₅×D₄	C₂⁴	1	4	yes	—
379	C₂²×C₄×C₅	—	4	4	no	—
380	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
381	C₂²×C₄×C₅	C₂⁴	1	8	yes	—
382	C₂²×C₄×C₅	C₂⁴	1	4	yes	—
383	C₂²×C₄×C₅	C₂⁴	1	8	yes	—
384	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
385	C₂²×C₄×C₅	C₂⁴	1	4	yes	—
386	C₂²×C₄×C₅	C₂⁴	1	2	yes	—
387	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
388	C₂×C₂²⋊D₅	—	2	32	no	—
389	C₂×C₂²⋊D₅	—	2	32	no	—
390	C₂×C₂²⋊D₅	—	2	64	no	—
391	C₂×C₂²⋊D₅	—	4	16	no	—
392	C₂×C₂²⋊D₅	C₂×D₄	1	16	yes	complemented
393	C₂×C₂²⋊D₅	C₂⁴	1	16	yes	—
394	C₂×C₂²⋊D₅	C₂⁴	1	16	yes	—
395	C₂×C₂²⋊D₅	C₂⁴	1	8	yes	—
396	C₂×C₂²⋊D₅	C₂⁴	1	8	yes	—
397	C₂×C₂²⋊D₅	C₂⁴	1	8	yes	—
398	C₂×C₂²⋊D₅	C₂⁴	1	8	yes	—
399	C₂×C₂²⋊D₅	C₂⁴	1	8	yes	—
400	C₂×C₂²⋊D₅	C₂⁴	1	16	yes	—
401	C₂×C₂²⋊D₅	C₂⁴	1	8	yes	—
402	C₂²×Dic₅	—	4	4	no	—
403	C₂²×Dic₅	C₂⁴	1	8	yes	—
404	C₂²×Dic₅	C₂⁴	1	1	yes	characteristic
405	C₂²×Dic₅	C₂⁴	1	4	yes	—
406	C₂²×Dic₅	C₂⁴	1	8	yes	—
407	C₂²×Dic₅	C₂⁴	1	4	yes	—
408	C₂²×Dic₅	C₂⁴	1	1	yes	characteristic
409	C₂²×Dic₅	C₂⁴	1	2	yes	—
410	C₂²×Dic₅	C₂⁴	1	1	yes	characteristic
411	#713	—	2	32	no	—
412	#713	—	2	16	no	—
413	Q₈×D₅	—	2	16	no	—
414	#711	—	2	32	no	—
415	#711	—	2	64	no	—
416	#711	—	2	32	no	—
417	#711	—	2	16	no	—
418	D₄×D₅	—	2	64	no	—
419	D₄×D₅	—	2	32	no	—
420	D₄×D₅	—	2	64	no	—
421	D₄×D₅	—	2	64	no	—
422	D₄×D₅	—	2	32	no	—
423	D₄×D₅	—	2	64	no	—
424	D₄×D₅	—	2	32	no	—
425	D₄×D₅	—	2	16	no	—
426	D₄×D₅	—	2	16	no	—
427	D₄×D₅	—	4	16	no	—
428	D₄×D₅	—	4	16	no	—
429	D₄×D₅	—	4	16	no	—
430	D₄×D₅	—	4	8	no	—
431	D₄×D₅	C₂×D₄	1	32	yes	complemented
432	D₄×D₅	C₂×D₄	1	32	yes	complemented
433	#709	—	2	16	no	—
434	#709	—	2	64	no	—
435	#709	—	2	32	no	—
436	#709	—	2	32	no	—
437	C₂×D₂₀	—	2	32	no	—
438	C₂×D₂₀	—	2	32	no	—
439	C₂×D₂₀	—	4	8	no	—
440	C₂×D₂₀	C₂×D₄	1	8	yes	complemented
441	C₂×D₂₀	C₂⁴	1	4	yes	—
442	C₂×D₂₀	C₂⁴	1	16	yes	—
443	C₂×D₂₀	C₂⁴	1	8	yes	—
444	C₂×D₂₀	C₂⁴	1	4	yes	—
445	C₂×D₂₀	C₂⁴	1	8	yes	—
446	C₂×D₂₀	C₂⁴	1	4	yes	—
447	C₂×D₂₀	C₂⁴	1	4	yes	—
448	C₂×C₄×D₅	—	2	32	no	—
449	C₂×C₄×D₅	—	2	32	no	—
450	C₂×C₄×D₅	—	2	4	no	—
451	C₂×C₄×D₅	—	2	16	no	—
452	C₂×C₄×D₅	—	4	8	no	—
453	C₂×C₄×D₅	—	4	4	no	—
454	C₂×C₄×D₅	—	4	8	no	—
455	C₂×C₄×D₅	—	4	4	no	—
456	C₂×C₄×D₅	—	4	8	no	—
457	C₂×C₄×D₅	—	4	4	no	—
458	C₂×C₄×D₅	—	4	2	no	—
459	C₂×C₄×D₅	C₂×D₄	1	8	yes	complemented
460	C₂×C₄×D₅	C₂⁴	1	1	yes	characteristic
461	C₂×C₄×D₅	C₂⁴	1	8	yes	—
462	C₂×C₄×D₅	C₂⁴	1	4	yes	—
463	C₂×C₄×D₅	C₂⁴	1	1	yes	characteristic
464	C₂×C₄×D₅	C₂⁴	1	1	yes	characteristic
465	C₂×C₄×D₅	C₂⁴	1	4	yes	—
466	C₂×C₄×D₅	C₂⁴	1	4	yes	—
467	C₂×C₄×D₅	C₂⁴	1	8	yes	—
468	C₂×C₄×D₅	C₂⁴	1	16	yes	—
469	C₂×C₄×D₅	C₂⁴	1	8	yes	—
470	C₂×C₄×D₅	C₂⁴	1	2	yes	—
471	C₂×C₄×D₅	C₂⁴	1	4	yes	—
472	C₂×C₄×D₅	C₂⁴	1	4	yes	—
473	C₂×C₄×D₅	C₂⁴	1	4	yes	—
474	C₂×C₄×D₅	C₂⁴	1	2	yes	—
475	C₂×C₄×D₅	C₂⁴	1	2	yes	—
476	C₂×C₄×D₅	C₂⁴	1	2	yes	—
477	C₂×C₄×D₅	C₂⁴	1	1	yes	characteristic
478	C₂×Dic₁₀	C₂⁴	1	4	yes	—
479	C₂×Dic₁₀	C₂⁴	1	8	yes	—
480	C₅×C₄⋊C₄	C₂⁴	1	4	yes	—
481	C₅×C₄⋊C₄	C₂⁴	1	4	yes	—
482	C₅×C₄⋊C₄	C₂⁴	1	8	yes	—
483	C₅×C₄⋊C₄	C₂⁴	1	4	yes	—
484	C₅×C₂²⋊C₄	C₂⁴	1	8	yes	—
485	C₅×C₂²⋊C₄	C₂⁴	1	8	yes	—
486	C₅×C₂²⋊C₄	C₂⁴	1	16	yes	—
487	C₅×C₂²⋊C₄	C₂⁴	1	8	yes	—
488	C₄²×C₅	C₂⁴	1	2	yes	—
489	C₄²×C₅	C₂⁴	1	2	yes	—
490	C₂²⋊Dic₅	C₂⁴	1	8	yes	—
491	C₂²⋊Dic₅	C₂⁴	1	8	yes	—
492	C₂²⋊Dic₅	C₂⁴	1	16	yes	—
493	C₂²⋊Dic₅	C₂⁴	1	8	yes	—
494	#685	C₂⁴	1	8	yes	—
495	#685	C₂⁴	1	8	yes	—
496	#685	C₂⁴	1	8	yes	—
497	#685	C₂⁴	1	8	yes	—
498	#685	C₂⁴	1	8	yes	—
499	#685	C₂⁴	1	16	yes	—
500	#685	C₂⁴	1	16	yes	—
501	#685	C₂⁴	1	8	yes	—
502	C₄⋊Dic₅	C₂⁴	1	4	yes	—
503	C₄⋊Dic₅	C₂⁴	1	4	yes	—
504	C₄⋊Dic₅	C₂⁴	1	4	yes	—
505	C₄⋊Dic₅	C₂⁴	1	8	yes	—
506	#683	C₂⁴	1	8	yes	—
507	#683	C₂⁴	1	16	yes	—
508	#683	C₂⁴	1	8	yes	—
509	#683	C₂⁴	1	8	yes	—
510	C₄×Dic₅	C₂⁴	1	2	yes	—
511	C₄×Dic₅	C₂⁴	1	2	yes	—
512	C₄×Dic₅	C₂⁴	1	2	yes	—
513	C₄×Dic₅	C₂⁴	1	2	yes	—
514	C₄×Dic₅	C₂⁴	1	2	yes	—
515	C₄×Dic₅	C₂⁴	1	2	yes	—
516	C₂×H(5,𝔽₂)	—	5	8	no	—
517	C₂×H(5,𝔽₂)	—	5	4	no	—
518	C₂×H(5,𝔽₂)	—	5	2	no	—
519	C₂×H(5,𝔽₂)	—	5	8	no	—
520	C₂×H(5,𝔽₂)	—	5	8	no	—
521	C₂×H(5,𝔽₂)	—	10	32	no	—
522	C₂×H(5,𝔽₂)	C₂×D₅	1	2	yes	complemented
523	C₂²×#41	—	5	4	no	—
524	C₂²×#41	—	5	8	no	—
525	C₂³×D₄	—	5	1	no	—
526	C₂³×D₄	—	5	8	no	—
527	C₂³×D₄	—	5	8	no	—
528	C₂³×D₄	—	5	4	no	—
529	C₂⁴×C₄	—	5	2	no	—
530	#547	—	5	8	no	—
531	#547	—	5	4	no	—
532	#547	—	5	16	no	—
533	#547	—	5	8	no	—
534	#547	—	5	8	no	—
535	#547	—	5	4	no	—
536	#547	—	5	4	no	—
537	#547	—	5	8	no	—
538	#547	C₂×D₅	1	4	yes	complemented
539	#546	—	5	8	no	—
540	#546	—	5	8	no	—
541	#546	—	5	8	no	—
542	#546	—	5	16	no	—
543	#546	—	5	8	no	—
544	#546	—	5	16	no	—
545	#546	—	5	8	no	—
546	#546	—	5	16	no	—
547	#546	—	5	8	no	—
548	#546	—	5	8	no	—
549	#546	—	5	16	no	—
550	#546	C₂×D₅	1	8	yes	complemented
551	D₄²	—	5	8	no	—
552	D₄²	—	5	8	no	—
553	D₄²	—	5	4	no	—
554	D₄²	—	5	8	no	—
555	D₄²	—	5	8	no	—
556	D₄²	—	5	16	no	—
557	D₄²	—	5	4	no	—
558	D₄²	—	5	4	no	—
559	D₄²	C₂×D₅	1	4	yes	complemented
560	#537	—	5	4	no	—
561	#537	—	5	8	no	—
562	#537	—	5	8	no	—
563	#537	—	5	8	no	—
564	#537	—	5	2	no	—
565	#537	C₂×D₅	1	2	yes	complemented
566	#534	—	5	8	no	—
567	#534	—	5	16	no	—
568	#534	—	5	8	no	—
569	#534	—	5	8	no	—
570	#534	—	5	16	no	—
571	#534	—	5	4	no	—
572	#534	C₂×D₅	1	4	yes	complemented
573	#532	—	5	4	no	—
574	#532	—	5	2	no	—
575	#532	—	5	2	no	—
576	#532	—	5	4	no	—
577	#532	—	5	4	no	—
578	#532	—	5	4	no	—
579	#532	—	5	4	no	—
580	#532	—	5	4	no	—
581	#532	—	5	2	no	—
582	#532	C₂×D₅	1	2	yes	complemented
583	C₂×C₄⋊Q₈	—	5	2	no	—
584	C₂×#127	—	5	2	no	—
585	C₂×#124	—	5	4	no	—
586	C₂×#123	—	5	16	no	—
587	C₂×C₂²⋊Q₈	—	5	8	no	—
588	C₂×#121	—	5	4	no	—
589	C₂×#121	—	5	8	no	—
590	C₂×#121	—	5	4	no	—
591	C₂×#121	—	5	4	no	—
592	C₂×#121	—	5	8	no	—
593	C₂×#121	—	5	8	no	—
594	C₂×#121	—	5	8	no	—
595	C₂×#121	—	5	8	no	—
596	C₂×#121	—	5	8	no	—
597	C₂×#121	—	5	8	no	—
598	C₂×#121	—	5	8	no	—
599	C₂×#121	—	5	4	no	—
600	C₂×#121	—	5	8	no	—
601	C₂×#121	—	5	4	no	—
602	C₂×#121	—	5	8	no	—
603	C₂×#121	C₂×D₅	1	4	yes	complemented
604	C₂×#120	—	5	16	no	—
605	C₂×C₄×D₄	—	5	1	no	—
606	C₂×C₄×D₄	—	5	2	no	—
607	C₂×C₄×D₄	—	5	4	no	—
608	C₂×C₄×D₄	—	5	4	no	—
609	C₂×C₄×D₄	—	5	4	no	—
610	C₂×C₄×D₄	—	5	4	no	—
611	C₂×C₄×D₄	—	5	4	no	—
612	C₂×C₄×D₄	—	5	4	no	—
613	C₂×C₄×D₄	—	5	1	no	—
614	C₂×C₄×D₄	—	5	2	no	—
615	C₂×C₄×D₄	—	5	1	no	—
616	C₂×C₄×D₄	C₂×D₅	1	1	yes	characteristic, complemented
617	C₂²×C₄⋊C₄	—	5	1	no	—
618	C₂²×C₄⋊C₄	—	5	4	no	—
619	C₂²×C₂²⋊C₄	—	5	2	no	—
620	C₂²×C₂²⋊C₄	—	5	8	no	—
621	C₂²×C₄²	—	5	1	no	—
622	C₂³×C₅	—	2	16	no	—
623	C₂³×C₅	—	4	2	no	—
624	C₂³×C₅	—	4	2	no	—
625	C₂³×C₅	—	4	8	no	—
626	C₂³×C₅	—	4	8	no	—
627	C₂³×C₅	C₂²×D₄	1	8	yes	complemented
628	C₂³×C₅	C₂⁵	1	8	yes	—
629	C₂³×C₅	C₂⁵	1	4	yes	—
630	C₂³×C₅	C₂⁵	1	1	yes	characteristic
631	C₂²×D₅	—	2	2	no	—
632	C₂²×D₅	—	2	8	no	—
633	C₂²×D₅	—	2	2	no	—
634	C₂²×D₅	—	2	8	no	—
635	C₂²×D₅	—	2	16	no	—
636	C₂²×D₅	—	2	16	no	—
637	C₂²×D₅	—	2	16	no	—
638	C₂²×D₅	—	2	16	no	—
639	C₂²×D₅	—	2	32	no	—
640	C₂²×D₅	—	4	32	no	—
641	C₂²×D₅	—	4	4	no	—
642	C₂²×D₅	—	4	2	no	—
643	C₂²×D₅	—	4	4	no	—
644	C₂²×D₅	—	4	2	no	—
645	C₂²×D₅	—	4	8	no	—
646	C₂²×D₅	—	4	16	no	—
647	C₂²×D₅	—	4	16	no	—
648	C₂²×D₅	—	4	8	no	—
649	C₂²×D₅	—	8	64	no	—
650	C₂²×D₅	C₂²×D₄	1	16	yes	—
651	C₂²×D₅	C₂²×D₄	1	4	yes	—
652	C₂²×D₅	C₂²×D₄	1	16	yes	complemented
653	C₂²×D₅	C₂²×D₄	1	8	yes	complemented
654	C₂²×D₅	C₂⁵	1	8	yes	—
655	C₂²×D₅	C₂⁵	1	4	yes	—
656	C₂²×D₅	C₂⁵	1	1	yes	characteristic
657	C₂²×D₅	C₂⁵	1	1	yes	characteristic
658	C₅×Q₈	—	2	8	no	—
659	C₅×D₄	—	2	32	no	—
660	C₅×D₄	—	2	16	no	—
661	C₅×D₄	—	2	8	no	—
662	C₅×D₄	—	2	8	no	—
663	C₅×D₄	—	4	8	no	—
664	C₅×D₄	—	4	4	no	—
665	C₅×D₄	C₂²×D₄	1	16	yes	complemented
666	C₂×C₄×C₅	—	2	16	no	—
667	C₂×C₄×C₅	—	2	16	no	—
668	C₂×C₄×C₅	—	2	2	no	—
669	C₂×C₄×C₅	—	2	8	no	—
670	C₂×C₄×C₅	—	4	4	no	—
671	C₂×C₄×C₅	—	4	2	no	—
672	C₂×C₄×C₅	—	4	1	no	—
673	C₂×C₄×C₅	C₂²×D₄	1	4	yes	complemented
674	C₂×C₄×C₅	C₂⁵	1	2	yes	—
675	C₂×C₄×C₅	C₂⁵	1	1	yes	characteristic
676	C₂×C₄×C₅	C₂⁵	1	8	yes	—
677	C₂×C₄×C₅	C₂⁵	1	4	yes	—
678	C₂×C₄×C₅	C₂⁵	1	2	yes	—
679	C₂×C₄×C₅	C₂⁵	1	1	yes	characteristic
680	C₂²⋊D₅	—	2	32	no	—
681	C₂²⋊D₅	—	2	16	no	—
682	C₂²⋊D₅	—	2	32	no	—
683	C₂²⋊D₅	—	2	16	no	—
684	C₂²⋊D₅	—	2	16	no	—
685	C₂²⋊D₅	—	2	16	no	—
686	C₂²⋊D₅	—	4	16	no	—
687	C₂²⋊D₅	—	4	8	no	—
688	C₂²⋊D₅	C₂²×D₄	1	32	yes	complemented
689	C₂×Dic₅	—	2	16	no	—
690	C₂×Dic₅	—	2	16	no	—
691	C₂×Dic₅	—	2	2	no	—
692	C₂×Dic₅	—	2	8	no	—
693	C₂×Dic₅	—	4	4	no	—
694	C₂×Dic₅	—	4	2	no	—
695	C₂×Dic₅	—	4	1	no	—
696	C₂×Dic₅	C₂²×D₄	1	4	yes	complemented
697	C₂×Dic₅	C₂⁵	1	2	yes	—
698	C₂×Dic₅	C₂⁵	1	1	yes	characteristic
699	C₂×Dic₅	C₂⁵	1	4	yes	—
700	C₂×Dic₅	C₂⁵	1	8	yes	—
701	C₂×Dic₅	C₂⁵	1	2	yes	—
702	C₂×Dic₅	C₂⁵	1	1	yes	characteristic
703	D₂₀	—	2	32	no	—
704	D₂₀	—	2	16	no	—
705	D₂₀	—	2	8	no	—
706	D₂₀	—	2	8	no	—
707	D₂₀	—	4	8	no	—
708	D₂₀	—	4	4	no	—
709	D₂₀	C₂²×D₄	1	16	yes	complemented
710	C₄×D₅	—	2	16	no	—
711	C₄×D₅	—	2	32	no	—
712	C₄×D₅	—	2	2	no	—
713	C₄×D₅	—	2	8	no	—
714	C₄×D₅	—	2	4	no	—
715	C₄×D₅	—	2	16	no	—
716	C₄×D₅	—	2	2	no	—
717	C₄×D₅	—	2	8	no	—
718	C₄×D₅	—	2	16	no	—
719	C₄×D₅	—	2	2	no	—
720	C₄×D₅	—	2	8	no	—
721	C₄×D₅	—	4	4	no	—
722	C₄×D₅	—	4	4	no	—
723	C₄×D₅	—	4	4	no	—
724	C₄×D₅	—	4	2	no	—
725	C₄×D₅	C₂²×D₄	1	8	yes	—
726	C₄×D₅	C₂²×D₄	1	8	yes	complemented
727	C₄×D₅	H(5,𝔽₂)	1	4	yes	complemented
728	Dic₁₀	—	2	8	no	—
729	Dic₁₀	—	2	16	no	—
730	C₂⁵	—	5	2	no	—
731	C₂⁵	—	5	8	no	—
732	H(5,𝔽₂)	—	2	16	no	—
733	H(5,𝔽₂)	—	10	64	no	—
734	H(5,𝔽₂)	—	10	64	no	—
735	H(5,𝔽₂)	—	10	64	no	—
736	H(5,𝔽₂)	—	10	32	no	—
737	H(5,𝔽₂)	—	10	16	no	—
738	C₂×#41	—	5	4	no	—
739	C₂×#41	—	5	8	no	—
740	C₂×#41	—	5	8	no	—
741	C₂×#41	—	5	4	no	—
742	C₂×#41	—	5	8	no	—
743	C₂×#41	—	5	16	no	—
744	C₂×#41	—	5	8	no	—
745	C₂×#41	—	5	4	no	—
746	C₂×#41	—	5	8	no	—
747	C₂×#41	—	5	16	no	—
748	C₂×#41	—	10	32	no	—
749	C₂×#41	—	10	64	no	—
750	C₂×#41	C₂²×D₅	1	4	yes	complemented
751	C₂×#41	C₂²×D₅	1	8	yes	complemented
752	C₂²×Q₈	—	5	4	no	—
753	C₂²×D₄	—	5	2	no	—
754	C₂²×D₄	—	5	16	no	—
755	C₂²×D₄	—	5	4	no	—
756	C₂²×D₄	—	5	4	no	—
757	C₂²×D₄	—	5	8	no	—
758	C₂²×D₄	—	5	8	no	—
759	C₂²×D₄	—	5	16	no	—
760	C₂²×D₄	—	5	8	no	—
761	C₂²×D₄	—	5	4	no	—
762	C₂²×D₄	—	5	16	no	—
763	C₂²×D₄	—	5	8	no	—
764	C₂²×D₄	—	5	4	no	—
765	C₂²×D₄	—	5	16	no	—
766	C₂²×D₄	—	5	16	no	—
767	C₂²×D₄	—	5	16	no	—
768	C₂²×D₄	—	5	8	no	—
769	C₂²×D₄	—	5	8	no	—
770	C₂²×D₄	—	5	4	no	—
771	C₂²×D₄	—	5	8	no	—
772	C₂²×D₄	—	5	8	no	—
773	C₂²×D₄	—	5	8	no	—
774	C₂²×D₄	—	5	1	no	—
775	C₂²×D₄	—	5	8	no	—
776	C₂²×D₄	—	5	8	no	—
777	C₂²×D₄	—	5	4	no	—
778	C₂²×D₄	—	10	64	no	—
779	C₂²×D₄	—	10	64	no	—
780	C₂²×D₄	—	20	16	no	—
781	C₂²×D₄	C₂²×D₅	1	1	yes	characteristic
782	C₂²×D₄	C₂²×D₅	1	8	yes	complemented
783	C₂²×D₄	C₂²×D₅	1	8	yes	complemented
784	C₂²×D₄	C₂²×D₅	1	4	yes	complemented
785	C₂³×C₄	—	5	1	no	—
786	C₂³×C₄	—	5	2	no	—
787	C₂³×C₄	—	5	8	no	—
788	C₂³×C₄	—	5	4	no	—
789	C₂³×C₄	—	5	8	no	—
790	C₂³×C₄	—	5	1	no	—
791	C₂³×C₄	—	5	4	no	—
792	C₂³×C₄	—	5	1	no	—
793	C₂³×C₄	—	5	2	no	—
794	C₂³×C₄	—	5	2	no	—
795	C₂³×C₄	—	5	4	no	—
796	C₂³×C₄	—	5	4	no	—
797	C₂³×C₄	—	5	2	no	—
798	C₂³×C₄	—	20	8	no	—
799	C₂³×C₄	C₂²×D₅	1	2	yes	complemented
800	C₄⋊Q₈	—	5	4	no	—
801	C₄⋊Q₈	—	5	4	no	—
802	C₄⋊Q₈	—	5	4	no	—
803	C₄⋊Q₈	—	5	2	no	—
804	C₄⋊Q₈	C₂²×D₅	1	2	yes	complemented
805	#127	—	5	4	no	—
806	#127	—	5	4	no	—
807	#127	—	5	4	no	—
808	#127	—	5	2	no	—
809	#127	C₂²×D₅	1	2	yes	complemented
810	#124	—	5	4	no	—
811	#124	—	5	4	no	—
812	#124	—	5	8	no	—
813	#124	—	5	8	no	—
814	#124	—	5	4	no	—
815	#124	C₂²×D₅	1	4	yes	complemented
816	#123	—	5	16	no	—
817	#123	—	5	16	no	—
818	#123	—	5	16	no	—
819	#123	—	5	16	no	—
820	#123	—	5	16	no	—
821	#123	—	5	16	no	—
822	#123	—	5	16	no	—
823	#123	C₂²×D₅	1	16	yes	complemented
824	C₂²⋊Q₈	—	5	8	no	—
825	C₂²⋊Q₈	—	5	8	no	—
826	C₂²⋊Q₈	—	5	16	no	—
827	C₂²⋊Q₈	—	5	8	no	—
828	C₂²⋊Q₈	—	5	16	no	—
829	C₂²⋊Q₈	C₂²×D₅	1	8	yes	complemented
830	#121	—	5	4	no	—
831	#121	—	5	8	no	—
832	#121	—	5	8	no	—
833	#121	—	5	16	no	—
834	#121	—	5	8	no	—
835	#121	—	5	16	no	—
836	#121	—	5	8	no	—
837	#121	—	5	16	no	—
838	#121	—	5	4	no	—
839	#121	—	5	8	no	—
840	#121	—	5	8	no	—
841	#121	—	5	16	no	—
842	#121	—	5	4	no	—
843	#121	—	5	8	no	—
844	#121	—	5	8	no	—
845	#121	—	5	8	no	—
846	#121	—	5	4	no	—
847	#121	—	5	8	no	—
848	#121	—	5	4	no	—
849	#121	—	5	8	no	—
850	#121	—	5	8	no	—
851	#121	—	5	8	no	—
852	#121	—	5	4	no	—
853	#121	—	5	8	no	—
854	#121	—	5	8	no	—
855	#121	—	5	16	no	—
856	#121	—	5	16	no	—
857	#121	—	5	16	no	—
858	#121	—	5	8	no	—
859	#121	—	5	16	no	—
860	#121	C₂²×D₅	1	4	yes	complemented
861	#121	C₂²×D₅	1	8	yes	complemented
862	#121	C₂²×D₅	1	8	yes	complemented
863	#121	C₂²×D₅	1	8	yes	complemented
864	#121	C₂²×D₅	1	4	yes	complemented
865	#121	C₂²×D₅	1	8	yes	complemented
866	#120	—	5	16	no	—
867	#120	—	5	16	no	—
868	#120	—	5	16	no	—
869	#120	—	5	16	no	—
870	#120	—	5	16	no	—
871	#120	—	5	16	no	—
872	#120	—	5	16	no	—
873	#120	C₂²×D₅	1	16	yes	complemented
874	C₄×D₄	—	5	4	no	—
875	C₄×D₄	—	5	4	no	—
876	C₄×D₄	—	5	4	no	—
877	C₄×D₄	—	5	4	no	—
878	C₄×D₄	—	5	8	no	—
879	C₄×D₄	—	5	8	no	—
880	C₄×D₄	—	5	8	no	—
881	C₄×D₄	—	5	8	no	—
882	C₄×D₄	—	5	4	no	—
883	C₄×D₄	—	5	4	no	—
884	C₄×D₄	—	5	4	no	—
885	C₄×D₄	—	5	4	no	—
886	C₄×D₄	—	5	8	no	—
887	C₄×D₄	—	5	8	no	—
888	C₄×D₄	—	5	8	no	—
889	C₄×D₄	—	5	8	no	—
890	C₄×D₄	—	5	4	no	—
891	C₄×D₄	—	5	4	no	—
892	C₄×D₄	—	5	4	no	—
893	C₄×D₄	—	5	4	no	—
894	C₄×D₄	C₂²×D₅	1	4	yes	complemented
895	C₄×D₄	C₂²×D₅	1	4	yes	complemented
896	C₄×D₄	C₂²×D₅	1	4	yes	complemented
897	C₄×D₄	C₂²×D₅	1	4	yes	complemented
898	C₂×C₄⋊C₄	—	5	2	no	—
899	C₂×C₄⋊C₄	—	5	1	no	—
900	C₂×C₄⋊C₄	—	5	8	no	—
901	C₂×C₄⋊C₄	—	5	4	no	—
902	C₂×C₄⋊C₄	—	5	4	no	—
903	C₂×C₄⋊C₄	—	5	4	no	—
904	C₂×C₄⋊C₄	—	5	4	no	—
905	C₂×C₄⋊C₄	—	5	8	no	—
906	C₂×C₄⋊C₄	—	5	8	no	—
907	C₂×C₄⋊C₄	—	5	8	no	—
908	C₂×C₄⋊C₄	—	5	4	no	—
909	C₂×C₄⋊C₄	C₂²×D₅	1	1	yes	characteristic, complemented
910	C₂×C₄⋊C₄	C₂²×D₅	1	4	yes	complemented
911	C₂×C₂²⋊C₄	—	5	2	no	—
912	C₂×C₂²⋊C₄	—	5	8	no	—
913	C₂×C₂²⋊C₄	—	5	2	no	—
914	C₂×C₂²⋊C₄	—	5	2	no	—
915	C₂×C₂²⋊C₄	—	5	8	no	—
916	C₂×C₂²⋊C₄	—	5	8	no	—
917	C₂×C₂²⋊C₄	—	5	8	no	—
918	C₂×C₂²⋊C₄	—	5	8	no	—
919	C₂×C₂²⋊C₄	—	5	8	no	—
920	C₂×C₂²⋊C₄	—	5	16	no	—
921	C₂×C₂²⋊C₄	—	5	16	no	—
922	C₂×C₂²⋊C₄	—	5	16	no	—
923	C₂×C₂²⋊C₄	—	5	8	no	—
924	C₂×C₂²⋊C₄	C₂²×D₅	1	2	yes	complemented
925	C₂×C₂²⋊C₄	C₂²×D₅	1	8	yes	complemented
926	C₂×C₄²	—	5	1	no	—
927	C₂×C₄²	—	5	1	no	—
928	C₂×C₄²	—	5	1	no	—
929	C₂×C₄²	—	5	2	no	—
930	C₂×C₄²	—	5	2	no	—
931	C₂×C₄²	—	5	2	no	—
932	C₂×C₄²	—	5	2	no	—
933	C₂×C₄²	C₂²×D₅	1	1	yes	characteristic, complemented
934	C₂²×C₅	—	2	1	no	—
935	C₂²×C₅	—	2	4	no	—
936	C₂²×C₅	—	2	1	no	—
937	C₂²×C₅	—	2	4	no	—
938	C₂²×C₅	—	2	8	no	—
939	C₂²×C₅	—	2	8	no	—
940	C₂²×C₅	—	2	8	no	—
941	C₂²×C₅	—	4	8	no	—
942	C₂²×C₅	—	8	16	no	—
943	C₂²×C₅	C₂³×D₄	1	8	yes	—
944	C₂²×C₅	C₂³×D₄	1	2	yes	—
945	C₂²×C₅	C₂⁶	1	1	yes	characteristic
946	C₂×D₅	—	2	1	no	—
947	C₂×D₅	—	2	4	no	—
948	C₂×D₅	—	2	1	no	—
949	C₂×D₅	—	2	4	no	—
950	C₂×D₅	—	2	8	no	—
951	C₂×D₅	—	2	32	no	—
952	C₂×D₅	—	2	8	no	—
953	C₂×D₅	—	2	8	no	—
954	C₂×D₅	—	2	8	no	—
955	C₂×D₅	—	4	16	no	—
956	C₂×D₅	—	4	8	no	—
957	C₂×D₅	—	4	32	no	—
958	C₂×D₅	—	8	32	no	—
959	C₂×D₅	—	8	16	no	—
960	C₂×D₅	C₂³×D₄	1	8	yes	—
961	C₂×D₅	C₂³×D₄	1	2	yes	—
962	C₂×D₅	C₂³×D₄	1	2	yes	—
963	C₂×D₅	C₂×H(5,𝔽₂)	1	2	yes	—
964	C₂×D₅	#585	1	2	yes	—
965	C₄×C₅	—	2	8	no	—
966	C₄×C₅	—	2	1	no	—
967	C₄×C₅	—	2	4	no	—
968	C₄×C₅	—	2	2	no	—
969	C₄×C₅	C₂³×D₄	1	4	yes	—
970	C₄×C₅	C₂×H(5,𝔽₂)	1	2	yes	complemented
971	Dic₅	—	2	8	no	—
972	Dic₅	—	2	1	no	—
973	Dic₅	—	2	4	no	—
974	Dic₅	—	2	2	no	—
975	Dic₅	C₂³×D₄	1	4	yes	—
976	Dic₅	C₂×H(5,𝔽₂)	1	2	yes	complemented
977	C₂⁴	—	5	4	no	—
978	C₂⁴	—	5	1	no	—
979	C₂⁴	—	5	16	no	—
980	C₂⁴	—	5	2	no	—
981	C₂⁴	—	5	4	no	—
982	C₂⁴	—	5	8	no	—
983	C₂⁴	—	5	16	no	—
984	C₂⁴	—	5	8	no	—
985	C₂⁴	—	10	32	no	—
986	C₂⁴	—	20	4	no	—
987	C₂⁴	—	20	4	no	—
988	C₂⁴	—	20	16	no	—
989	C₂⁴	—	20	16	no	—
990	C₂⁴	C₂³×D₅	1	8	yes	—
991	C₂⁴	C₂³×D₅	1	2	yes	—
992	#41	—	2	32	no	—
993	#41	—	2	16	no	—
994	#41	—	10	32	no	—
995	#41	—	10	64	no	—
996	#41	—	10	32	no	—
997	#41	—	10	32	no	—
998	#41	—	10	16	no	—
999	#41	—	10	16	no	—
1000	#41	—	10	64	no	—
1001	#41	—	10	32	no	—
1002	#41	—	10	32	no	—
1003	#41	—	10	16	no	—
1004	C₂×Q₈	—	5	8	no	—
1005	C₂×Q₈	—	5	4	no	—
1006	C₂×Q₈	—	10	16	no	—
1007	C₂×Q₈	C₂³×D₅	1	4	yes	—
1008	C₂×D₄	—	2	32	no	—
1009	C₂×D₄	—	2	32	no	—
1010	C₂×D₄	—	4	8	no	—
1011	C₂×D₄	—	5	16	no	—
1012	C₂×D₄	—	5	8	no	—
1013	C₂×D₄	—	5	32	no	—
1014	C₂×D₄	—	5	32	no	—
1015	C₂×D₄	—	5	8	no	—
1016	C₂×D₄	—	5	16	no	—
1017	C₂×D₄	—	5	16	no	—
1018	C₂×D₄	—	5	8	no	—
1019	C₂×D₄	—	5	8	no	—
1020	C₂×D₄	—	5	8	no	—
1021	C₂×D₄	—	5	8	no	—
1022	C₂×D₄	—	5	16	no	—
1023	C₂×D₄	—	5	8	no	—
1024	C₂×D₄	—	5	4	no	—
1025	C₂×D₄	—	5	4	no	—
1026	C₂×D₄	—	5	16	no	—
1027	C₂×D₄	—	5	8	no	—
1028	C₂×D₄	—	5	4	no	—
1029	C₂×D₄	—	5	4	no	—
1030	C₂×D₄	—	5	8	no	—
1031	C₂×D₄	—	10	32	no	—
1032	C₂×D₄	—	10	32	no	—
1033	C₂×D₄	—	10	16	no	—
1034	C₂×D₄	—	10	16	no	—
1035	C₂×D₄	—	10	64	no	—
1036	C₂×D₄	—	10	32	no	—
1037	C₂×D₄	—	10	32	no	—
1038	C₂×D₄	—	10	64	no	—
1039	C₂×D₄	—	10	64	no	—
1040	C₂×D₄	—	10	64	no	—
1041	C₂×D₄	—	10	64	no	—
1042	C₂×D₄	—	10	32	no	—
1043	C₂×D₄	—	10	32	no	—
1044	C₂×D₄	—	10	32	no	—
1045	C₂×D₄	—	20	8	no	—
1046	C₂×D₄	—	20	16	no	—
1047	C₂×D₄	—	20	16	no	—
1048	C₂×D₄	—	20	16	no	—
1049	C₂×D₄	—	20	8	no	—
1050	C₂×D₄	—	20	16	no	—
1051	C₂×D₄	D₄×D₅	1	8	yes	complemented
1052	C₂×D₄	C₂³×D₅	1	4	yes	—
1053	C₂×D₄	C₂³×D₅	1	16	yes	—
1054	C₂×D₄	C₂³×D₅	1	8	yes	—
1055	C₂×D₄	C₂³×D₅	1	4	yes	—
1056	C₂×D₄	C₂³×D₅	1	4	yes	—
1057	C₂×D₄	C₂³×D₅	1	8	yes	—
1058	C₂×D₄	C₂³×D₅	1	4	yes	—
1059	C₂²×C₄	—	4	4	no	—
1060	C₂²×C₄	—	5	1	no	—
1061	C₂²×C₄	—	5	8	no	—
1062	C₂²×C₄	—	5	1	no	—
1063	C₂²×C₄	—	5	2	no	—
1064	C₂²×C₄	—	5	2	no	—
1065	C₂²×C₄	—	5	1	no	—
1066	C₂²×C₄	—	5	8	no	—
1067	C₂²×C₄	—	5	4	no	—
1068	C₂²×C₄	—	5	8	no	—
1069	C₂²×C₄	—	5	1	no	—
1070	C₂²×C₄	—	5	4	no	—
1071	C₂²×C₄	—	5	2	no	—
1072	C₂²×C₄	—	5	2	no	—
1073	C₂²×C₄	—	5	1	no	—
1074	C₂²×C₄	—	5	1	no	—
1075	C₂²×C₄	—	5	1	no	—
1076	C₂²×C₄	—	5	4	no	—
1077	C₂²×C₄	—	5	8	no	—
1078	C₂²×C₄	—	5	16	no	—
1079	C₂²×C₄	—	5	4	no	—
1080	C₂²×C₄	—	5	4	no	—
1081	C₂²×C₄	—	5	8	no	—
1082	C₂²×C₄	—	5	8	no	—
1083	C₂²×C₄	—	5	2	no	—
1084	C₂²×C₄	—	5	4	no	—
1085	C₂²×C₄	—	5	4	no	—
1086	C₂²×C₄	—	5	4	no	—
1087	C₂²×C₄	—	10	4	no	—
1088	C₂²×C₄	—	10	16	no	—
1089	C₂²×C₄	—	10	32	no	—
1090	C₂²×C₄	—	10	32	no	—
1091	C₂²×C₄	—	20	4	no	—
1092	C₂²×C₄	—	20	8	no	—
1093	C₂²×C₄	—	20	8	no	—
1094	C₂²×C₄	—	20	4	no	—
1095	C₂²×C₄	—	20	8	no	—
1096	C₂²×C₄	—	20	4	no	—
1097	C₂²×C₄	—	20	2	no	—
1098	C₂²×C₄	—	20	4	no	—
1099	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1100	C₂²×C₄	C₂³×D₅	1	8	yes	—
1101	C₂²×C₄	C₂³×D₅	1	4	yes	—
1102	C₂²×C₄	C₂³×D₅	1	8	yes	—
1103	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1104	C₂²×C₄	C₂³×D₅	1	4	yes	—
1105	C₂²×C₄	C₂³×D₅	1	2	yes	—
1106	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1107	C₄⋊C₄	—	5	8	no	—
1108	C₄⋊C₄	—	5	4	no	—
1109	C₄⋊C₄	—	5	8	no	—
1110	C₄⋊C₄	—	5	4	no	—
1111	C₄⋊C₄	—	5	16	no	—
1112	C₄⋊C₄	—	5	8	no	—
1113	C₄⋊C₄	—	5	8	no	—
1114	C₄⋊C₄	—	5	4	no	—
1115	C₄⋊C₄	C₂³×D₅	1	4	yes	—
1116	C₄⋊C₄	C₂³×D₅	1	4	yes	—
1117	C₄⋊C₄	C₂³×D₅	1	8	yes	—
1118	C₄⋊C₄	C₂³×D₅	1	4	yes	—
1119	C₂²⋊C₄	—	5	8	no	—
1120	C₂²⋊C₄	—	5	8	no	—
1121	C₂²⋊C₄	—	5	16	no	—
1122	C₂²⋊C₄	—	5	8	no	—
1123	C₂²⋊C₄	—	5	8	no	—
1124	C₂²⋊C₄	—	5	8	no	—
1125	C₂²⋊C₄	—	5	8	no	—
1126	C₂²⋊C₄	—	5	8	no	—
1127	C₂²⋊C₄	—	5	16	no	—
1128	C₂²⋊C₄	—	5	16	no	—
1129	C₂²⋊C₄	—	5	8	no	—
1130	C₂²⋊C₄	—	5	8	no	—
1131	C₂²⋊C₄	C₂³×D₅	1	8	yes	—
1132	C₂²⋊C₄	C₂³×D₅	1	8	yes	—
1133	C₂²⋊C₄	C₂³×D₅	1	16	yes	—
1134	C₂²⋊C₄	C₂³×D₅	1	8	yes	—
1135	C₄²	—	5	2	no	—
1136	C₄²	—	5	2	no	—
1137	C₄²	—	5	2	no	—
1138	C₄²	—	5	2	no	—
1139	C₄²	—	5	2	no	—
1140	C₄²	—	5	2	no	—
1141	C₄²	C₂³×D₅	1	2	yes	—
1142	C₄²	C₂³×D₅	1	2	yes	—
1143	C₂×C₅	—	2	2	no	—
1144	C₂×C₅	—	2	8	no	—
1145	C₂×C₅	—	4	8	no	—
1146	C₂×C₅	C₂⁴×D₄	1	1	yes	characteristic
1147	C₂×C₅	C₂²×H(5,𝔽₂)	1	1	yes	characteristic
1148	C₂×C₅	C₂×#585	1	1	yes	characteristic
1149	D₅	—	2	2	no	—
1150	D₅	—	2	8	no	—
1151	D₅	—	4	8	no	—
1152	D₅	#3496	1	4	yes	direct product factor
1153	C₂³	—	2	16	no	—
1154	C₂³	—	4	2	no	—
1155	C₂³	—	4	2	no	—
1156	C₂³	—	4	8	no	—
1157	C₂³	—	4	8	no	—
1158	C₂³	—	5	1	no	—
1159	C₂³	—	5	4	no	—
1160	C₂³	—	5	16	no	—
1161	C₂³	—	5	4	no	—
1162	C₂³	—	5	1	no	—
1163	C₂³	—	5	16	no	—
1164	C₂³	—	5	8	no	—
1165	C₂³	—	5	8	no	—
1166	C₂³	—	10	2	no	—
1167	C₂³	—	10	8	no	—
1168	C₂³	—	10	2	no	—
1169	C₂³	—	10	8	no	—
1170	C₂³	—	10	16	no	—
1171	C₂³	—	10	16	no	—
1172	C₂³	—	10	16	no	—
1173	C₂³	—	10	32	no	—
1174	C₂³	—	10	16	no	—
1175	C₂³	—	20	2	no	—
1176	C₂³	—	20	4	no	—
1177	C₂³	—	20	2	no	—
1178	C₂³	—	20	4	no	—
1179	C₂³	—	20	8	no	—
1180	C₂³	—	20	16	no	—
1181	C₂³	—	20	8	no	—
1182	C₂³	—	20	16	no	—
1183	C₂³	—	20	32	no	—
1184	C₂³	—	40	64	no	—
1185	C₂³	C₂×D₄×D₅	1	8	yes	complemented
1186	C₂³	C₂⁴×D₅	1	8	yes	—
1187	C₂³	C₂⁴×D₅	1	4	yes	—
1188	C₂³	C₂⁴×D₅	1	1	yes	characteristic
1189	Q₈	—	2	8	no	—
1190	Q₈	—	10	16	no	—
1191	Q₈	—	10	8	no	—
1192	D₄	—	2	32	no	—
1193	D₄	—	2	16	no	—
1194	D₄	—	2	8	no	—
1195	D₄	—	2	8	no	—
1196	D₄	—	4	8	no	—
1197	D₄	—	4	4	no	—
1198	D₄	—	5	32	no	—
1199	D₄	—	5	16	no	—
1200	D₄	—	10	16	no	—
1201	D₄	—	10	32	no	—
1202	D₄	—	10	16	no	—
1203	D₄	—	10	16	no	—
1204	D₄	—	10	16	no	—
1205	D₄	—	10	32	no	—
1206	D₄	—	10	32	no	—
1207	D₄	—	10	16	no	—
1208	D₄	—	10	8	no	—
1209	D₄	—	10	8	no	—
1210	D₄	—	20	8	no	—
1211	D₄	—	20	4	no	—
1212	D₄	—	20	16	no	—
1213	D₄	—	20	8	no	—
1214	D₄	C₂×D₄×D₅	1	16	yes	complemented
1215	C₂×C₄	—	2	16	no	—
1216	C₂×C₄	—	2	16	no	—
1217	C₂×C₄	—	2	2	no	—
1218	C₂×C₄	—	2	8	no	—
1219	C₂×C₄	—	4	4	no	—
1220	C₂×C₄	—	4	2	no	—
1221	C₂×C₄	—	4	1	no	—
1222	C₂×C₄	—	5	4	no	—
1223	C₂×C₄	—	5	1	no	—
1224	C₂×C₄	—	5	2	no	—
1225	C₂×C₄	—	5	8	no	—
1226	C₂×C₄	—	5	8	no	—
1227	C₂×C₄	—	5	4	no	—
1228	C₂×C₄	—	5	2	no	—
1229	C₂×C₄	—	5	1	no	—
1230	C₂×C₄	—	5	4	no	—
1231	C₂×C₄	—	5	8	no	—
1232	C₂×C₄	—	10	2	no	—
1233	C₂×C₄	—	10	8	no	—
1234	C₂×C₄	—	10	16	no	—
1235	C₂×C₄	—	10	16	no	—
1236	C₂×C₄	—	10	2	no	—
1237	C₂×C₄	—	10	8	no	—
1238	C₂×C₄	—	10	32	no	—
1239	C₂×C₄	—	10	4	no	—
1240	C₂×C₄	—	10	2	no	—
1241	C₂×C₄	—	10	8	no	—
1242	C₂×C₄	—	10	16	no	—
1243	C₂×C₄	—	10	16	no	—
1244	C₂×C₄	—	10	16	no	—
1245	C₂×C₄	—	10	2	no	—
1246	C₂×C₄	—	10	8	no	—
1247	C₂×C₄	—	20	4	no	—
1248	C₂×C₄	—	20	4	no	—
1249	C₂×C₄	—	20	4	no	—
1250	C₂×C₄	—	20	2	no	—
1251	C₂×C₄	—	20	4	no	—
1252	C₂×C₄	—	20	2	no	—
1253	C₂×C₄	—	20	1	no	—
1254	C₂×C₄	C₂×D₄×D₅	1	4	yes	complemented
1255	C₂×C₄	C₂⁴×D₅	1	2	yes	—
1256	C₂×C₄	C₂⁴×D₅	1	1	yes	characteristic
1257	C₂×C₄	C₂⁴×D₅	1	4	yes	—
1258	C₂×C₄	C₂⁴×D₅	1	8	yes	—
1259	C₂×C₄	C₂⁴×D₅	1	2	yes	—
1260	C₂×C₄	C₂⁴×D₅	1	1	yes	characteristic
1261	C₅	C₂×#3496	1	1	yes	characteristic, complemented, Sylow
1262	C₂²	—	2	1	no	—
1263	C₂²	—	2	4	no	—
1264	C₂²	—	2	1	no	—
1265	C₂²	—	2	4	no	—
1266	C₂²	—	2	8	no	—
1267	C₂²	—	2	8	no	—
1268	C₂²	—	2	8	no	—
1269	C₂²	—	4	8	no	—
1270	C₂²	—	5	2	no	—
1271	C₂²	—	5	2	no	—
1272	C₂²	—	5	2	no	—
1273	C₂²	—	5	2	no	—
1274	C₂²	—	5	8	no	—
1275	C₂²	—	8	16	no	—
1276	C₂²	—	10	8	no	—
1277	C₂²	—	10	32	no	—
1278	C₂²	—	10	1	no	—
1279	C₂²	—	10	4	no	—
1280	C₂²	—	10	1	no	—
1281	C₂²	—	10	4	no	—
1282	C₂²	—	10	8	no	—
1283	C₂²	—	10	8	no	—
1284	C₂²	—	10	8	no	—
1285	C₂²	—	20	8	no	—
1286	C₂²	—	20	16	no	—
1287	C₂²	—	20	32	no	—
1288	C₂²	—	40	16	no	—
1289	C₂²	—	40	32	no	—
1290	C₂²	C₂²×D₄×D₅	1	8	yes	—
1291	C₂²	C₂²×D₄×D₅	1	2	yes	—
1292	C₂²	C₂⁵×D₅	1	1	yes	characteristic
1293	C₄	—	2	8	no	—
1294	C₄	—	2	1	no	—
1295	C₄	—	2	4	no	—
1296	C₄	—	2	2	no	—
1297	C₄	—	5	4	no	—
1298	C₄	—	5	2	no	—
1299	C₄	—	10	8	no	—
1300	C₄	—	10	1	no	—
1301	C₄	—	10	4	no	—
1302	C₄	—	10	2	no	—
1303	C₄	C₂²×D₄×D₅	1	4	yes	—
1304	C₄	D₅×H(5,𝔽₂)	1	2	yes	complemented
1305	C₂	—	2	2	no	—
1306	C₂	—	2	8	no	—
1307	C₂	—	4	8	no	—
1308	C₂	—	5	4	no	—
1309	C₂	—	10	2	no	—
1310	C₂	—	10	8	no	—
1311	C₂	—	20	8	no	—
1312	C₂	C₂³×D₄×D₅	1	1	yes	characteristic
1313	C₂	C₂×D₅×H(5,𝔽₂)	1	1	yes	characteristic
1314	C₂	D₅×#585	1	1	yes	characteristic

	subgroup	G/H
center, Frattini	C₂²	C₂⁵×D₅
commutator, socle, cosocle	C₂²×C₅	C₂⁶
Fitting	C₅×#3496	C₂
hypercenter	#3496	D₅
hypocenter	C₅	C₂×#3496
LCS	G ▷ C₂²×C₅ ▷ C₅
UCS	C₁ ◁ C₂² ◁ #3496

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. C₅×#3496	C₂	semidirect
3. #10619182	C₂	semidirect
4. #10618603	C₂	semidirect
5. D₅×#547	C₂	semidirect
6. #10618566	C₂	semidirect
7. D₅×#546	C₂	semidirect
8. #10618522	C₂	semidirect
9. D₄²×D₅	C₂	semidirect
10. #10618283	C₂	semidirect
11. D₅×#537	C₂	semidirect
12. D₅×#534	C₂	semidirect
13. #10618199	C₂	semidirect
14. #10618142	C₂	semidirect
15. D₅×#532	C₂	semidirect
16. #10617851	C₂	semidirect
17. C₂×D₅×#121	C₂	semidirect
18. #10617687	C₂	semidirect
19. C₂×C₄×D₄×D₅	C₂	semidirect
20. C₂×C₅×H(5,𝔽₂)	C₂²	semidirect
22. C₂×#4149	C₂²	semidirect
23. C₂×#4149	C₂²	semidirect
24. C₂×D₅×#41	C₂²	semidirect
25. C₂×D₅×#41	C₂²	semidirect
26. C₂×#4144	C₂²	semidirect
27. C₂×#4144	C₂²	semidirect
28. C₂×#4144	C₂²	semidirect
30. C₂²×D₄×D₅	C₂²	semidirect
31. C₂²×D₄×D₅	C₂²	semidirect
32. C₂²×D₄×D₅	C₂²	semidirect
33. C₂³×C₄×D₅	C₂²	semidirect
34. C₅×#547	C₂²	semidirect
35. C₅×#546	C₂²	semidirect
36. C₅×D₄²	C₂²	semidirect
37. C₅×#537	C₂²	semidirect
38. C₅×#534	C₂²	semidirect
39. C₅×#532	C₂²	semidirect
40. C₂×C₅×#121	C₂²	semidirect
41. C₂×C₄×C₅×D₄	C₂²	semidirect
42. #66167	C₂²	semidirect
43. #66166	C₂²	semidirect
44. #66163	C₂²	semidirect
45. #66158	C₂²	semidirect
46. #66140	C₂²	semidirect
47. #66138	C₂²	semidirect
48. C₂×#4085	C₂²	semidirect
49. D₄×C₂²⋊D₅	C₂²	semidirect
50. D₄×C₂²⋊D₅	C₂²	semidirect
51. C₂×#4084	C₂²	semidirect
52. C₂×D₄×Dic₅	C₂²	semidirect
53. C₂×#4076	C₂²	semidirect
54. C₂×C₄×C₂²⋊D₅	C₂²	semidirect
55. #66060	C₂²	semidirect
56. #66059	C₂²	semidirect
57. D₅×C₄⋊Q₈	C₂²	semidirect
58. #66051	C₂²	semidirect
59. #66050	C₂²	semidirect
60. D₅×#127	C₂²	semidirect
61. #66010	C₂²	semidirect
62. D₅×#124	C₂²	semidirect
63. #66002	C₂²	semidirect
64. #65989	C₂²	semidirect
65. #65988	C₂²	semidirect
66. #65987	C₂²	semidirect
67. D₅×#123	C₂²	semidirect
68. #65965	C₂²	semidirect
69. #65964	C₂²	semidirect
70. #65963	C₂²	semidirect
71. D₅×C₂²⋊Q₈	C₂²	semidirect
72. #65946	C₂²	semidirect
73. #65945	C₂²	semidirect
74. #65944	C₂²	semidirect
75. #65943	C₂²	semidirect
76. #65943	C₂²	semidirect
77. #65942	C₂²	semidirect
78. #65939	C₂²	semidirect
79. #65939	C₂²	semidirect
80. D₅×#121	C₂²	semidirect
81. D₅×#121	C₂²	semidirect
82. D₅×#121	C₂²	semidirect
83. D₅×#121	C₂²	semidirect
84. D₅×#121	C₂²	semidirect
85. D₅×#121	C₂²	semidirect
86. D₅×#121	C₂²	semidirect
87. D₅×#121	C₂²	semidirect
88. D₅×#121	C₂²	semidirect
89. D₅×#121	C₂²	semidirect
90. #65931	C₂²	semidirect
91. #65930	C₂²	semidirect
92. #65930	C₂²	semidirect
93. #65925	C₂²	semidirect
94. #65924	C₂²	semidirect
95. #65923	C₂²	semidirect
96. D₅×#120	C₂²	semidirect
97. #65889	C₂²	semidirect
98. #65888	C₂²	semidirect
99. #65885	C₂²	semidirect
100. #65884	C₂²	semidirect
101. D₄×D₂₀	C₂²	semidirect
102. D₄×D₂₀	C₂²	semidirect
103. #65882	C₂²	semidirect
104. #65882	C₂²	semidirect
105. C₄×D₄×D₅	C₂²	semidirect
106. C₄×D₄×D₅	C₂²	semidirect
107. C₄×D₄×D₅	C₂²	semidirect
108. C₄×D₄×D₅	C₂²	semidirect
109. C₄×D₄×D₅	C₂²	semidirect
110. C₄×D₄×D₅	C₂²	semidirect
111. #65844	C₂²	semidirect
112. #65841	C₂²	semidirect
113. C₂×#4041	C₂²	semidirect
114. C₂×#4039	C₂²	semidirect
115. C₂×D₅×C₄⋊C₄	C₂²	semidirect
116. C₂×D₅×C₄⋊C₄	C₂²	semidirect
117. #65827	C₂²	semidirect
118. #65824	C₂²	semidirect
119. C₂×#4030	C₂²	semidirect
120. C₂×#4027	C₂²	semidirect
121. C₂×D₅×C₂²⋊C₄	C₂²	semidirect
122. C₂×D₅×C₂²⋊C₄	C₂²	semidirect
123. #65811	C₂²	semidirect
124. C₂×C₄×D₂₀	C₂²	semidirect
125. C₂×C₄²×D₅	C₂²	semidirect
130. C₂×C₅×#41	C₂³	semidirect
131. C₂×C₅×#41	C₂³	semidirect
133. C₂²×C₅×D₄	C₂³	semidirect
134. C₂²×C₅×D₄	C₂³	semidirect
135. C₂²×C₅×D₄	C₂³	semidirect
136. C₂³×C₄×C₅	C₂³	semidirect
138. C₂²×C₂²⋊D₅	C₂³	semidirect
139. C₂²×C₂²⋊D₅	C₂³	semidirect
140. C₂²×C₂²⋊D₅	C₂³	semidirect
141. C₂²×C₂²⋊D₅	C₂³	semidirect
142. C₂³×Dic₅	C₂³	semidirect
147. C₂×#713	C₂³	semidirect
148. C₂×#713	C₂³	semidirect
153. C₂×#711	C₂³	semidirect
154. C₂×#711	C₂³	semidirect
155. C₂×#711	C₂³	semidirect
156. C₂×#711	C₂³	semidirect
160. C₂×D₄×D₅	D₄	semidirect
169. C₂×D₄×D₅	C₂³	semidirect
170. C₂×D₄×D₅	C₂³	semidirect
171. C₂×D₄×D₅	C₂³	semidirect
172. C₂×D₄×D₅	C₂³	semidirect
173. C₂×D₄×D₅	C₂³	semidirect
174. C₂×D₄×D₅	C₂³	semidirect
175. C₂×D₄×D₅	C₂³	semidirect
176. C₂×#709	C₂³	semidirect
177. C₂×#709	C₂³	semidirect
178. C₂×#709	C₂³	semidirect
179. C₂×#709	C₂³	semidirect
181. C₂²×D₂₀	C₂³	semidirect
182. C₂²×D₂₀	C₂³	semidirect
183. C₂²×D₂₀	C₂³	semidirect
193. C₂²×C₄×D₅	C₂³	semidirect
194. C₂²×C₄×D₅	C₂³	semidirect
195. C₂²×C₄×D₅	C₂³	semidirect
196. C₂²×C₄×D₅	C₂³	semidirect
197. C₅×C₄⋊Q₈	C₂³	semidirect
198. C₅×#127	C₂³	semidirect
199. C₅×#124	C₂³	semidirect
200. C₅×#123	C₂³	semidirect
201. C₅×C₂²⋊Q₈	C₂³	semidirect
202. C₅×#121	C₂³	semidirect
203. C₅×#121	C₂³	semidirect
204. C₅×#121	C₂³	semidirect
205. C₅×#121	C₂³	semidirect
206. C₅×#121	C₂³	semidirect
207. C₅×#121	C₂³	semidirect
208. C₅×#120	C₂³	semidirect
209. C₄×C₅×D₄	C₂³	semidirect
210. C₄×C₅×D₄	C₂³	semidirect
211. C₄×C₅×D₄	C₂³	semidirect
212. C₄×C₅×D₄	C₂³	semidirect
213. C₂×C₅×C₄⋊C₄	C₂³	semidirect
214. C₂×C₅×C₄⋊C₄	C₂³	semidirect
215. C₂×C₅×C₂²⋊C₄	C₂³	semidirect
216. C₂×C₅×C₂²⋊C₄	C₂³	semidirect
217. C₂×C₄²×C₅	C₂³	semidirect
218. #4099	C₂³	semidirect
219. C₂×C₂²⋊Dic₅	C₂³	semidirect
220. C₂×C₂²⋊Dic₅	C₂³	semidirect
221. #4093	C₂³	semidirect
222. #4092	C₂³	semidirect
223. #4090	C₂³	semidirect
224. #4086	C₂³	semidirect
225. #4086	C₂³	semidirect
226. #4086	C₂³	semidirect
227. #4085	C₂³	semidirect
228. #4085	C₂³	semidirect
229. #4085	C₂³	semidirect
230. #4085	C₂³	semidirect
231. #4085	C₂³	semidirect
232. #4085	C₂³	semidirect
233. #4084	C₂³	semidirect
234. #4084	C₂³	semidirect
235. #4084	C₂³	semidirect
236. #4084	C₂³	semidirect
237. #4084	C₂³	semidirect
238. #4084	C₂³	semidirect
239. #4083	C₂³	semidirect
240. #4083	C₂³	semidirect
241. #4083	C₂³	semidirect
242. #4082	C₂³	semidirect
243. #4081	C₂³	semidirect
244. D₄×Dic₅	C₂³	semidirect
245. D₄×Dic₅	C₂³	semidirect
246. D₄×Dic₅	C₂³	semidirect
247. D₄×Dic₅	C₂³	semidirect
248. #4076	C₂³	semidirect
249. #4076	C₂³	semidirect
250. #4076	C₂³	semidirect
251. #4076	C₂³	semidirect
252. #4076	C₂³	semidirect
253. #4076	C₂³	semidirect
254. #4075	C₂³	semidirect
255. C₄×C₂²⋊D₅	C₂³	semidirect
256. C₄×C₂²⋊D₅	C₂³	semidirect
257. C₄×C₂²⋊D₅	C₂³	semidirect
258. C₄×C₂²⋊D₅	C₂³	semidirect
259. C₂×#685	C₂³	semidirect
260. C₂×#685	C₂³	semidirect
261. C₂×#685	C₂³	semidirect
262. C₂×#685	C₂³	semidirect
263. C₂×C₄⋊Dic₅	C₂³	semidirect
264. C₂×C₄⋊Dic₅	C₂³	semidirect
265. #4070	C₂³	semidirect
266. C₂×#683	C₂³	semidirect
267. C₂×#683	C₂³	semidirect
268. C₂×C₄×Dic₅	C₂³	semidirect
269. C₂×C₄×Dic₅	C₂³	semidirect
270. C₂×C₄×Dic₅	C₂³	semidirect
271. #4043	C₂³	semidirect
272. #4042	C₂³	semidirect
273. #4041	C₂³	semidirect
274. #4041	C₂³	semidirect
275. #4041	C₂³	semidirect
276. #4041	C₂³	semidirect
277. #4041	C₂³	semidirect
278. #4041	C₂³	semidirect
279. #4040	C₂³	semidirect
280. #4040	C₂³	semidirect
281. #4039	C₂³	semidirect
282. #4039	C₂³	semidirect
283. #4039	C₂³	semidirect
284. #4039	C₂³	semidirect
289. D₅×C₄⋊C₄	C₂³	semidirect
290. D₅×C₄⋊C₄	C₂³	semidirect
291. D₅×C₄⋊C₄	C₂³	semidirect
292. #4034	C₂³	semidirect
293. #4034	C₂³	semidirect
294. #4032	C₂³	semidirect
295. #4031	C₂³	semidirect
296. #4031	C₂³	semidirect
297. #4030	C₂³	semidirect
298. #4030	C₂³	semidirect
299. #4030	C₂³	semidirect
300. #4030	C₂³	semidirect
301. #4030	C₂³	semidirect
302. #4030	C₂³	semidirect
303. #4029	C₂³	semidirect
304. #4029	C₂³	semidirect
305. #4028	C₂³	semidirect
306. #4028	C₂³	semidirect
307. #4028	C₂³	semidirect
308. #4027	C₂³	semidirect
309. #4027	C₂³	semidirect
310. #4027	C₂³	semidirect
311. #4027	C₂³	semidirect
316. D₅×C₂²⋊C₄	C₂³	semidirect
317. D₅×C₂²⋊C₄	C₂³	semidirect
318. D₅×C₂²⋊C₄	C₂³	semidirect
319. #4024	C₂³	semidirect
320. #4021	C₂³	semidirect
321. #4020	C₂³	semidirect
322. C₄×D₂₀	C₂³	semidirect
323. C₄×D₂₀	C₂³	semidirect
324. C₄×D₂₀	C₂³	semidirect
325. C₄×D₂₀	C₂³	semidirect
328. C₄²×D₅	C₂³	semidirect
329. C₄²×D₅	C₂³	semidirect
330. #4015	C₂³	semidirect
341. #3496	D₅	direct (N × H)
357. C₂³×D₅	C₂×D₄	semidirect
371. C₂×C₅×D₄	C₂×D₄	semidirect
392. C₂×C₂²⋊D₅	C₂×D₄	semidirect
431. D₄×D₅	C₂×D₄	semidirect
432. D₄×D₅	C₂×D₄	semidirect
440. C₂×D₂₀	C₂×D₄	semidirect
459. C₂×C₄×D₅	C₂×D₄	semidirect
522. C₂×H(5,𝔽₂)	C₂×D₅	semidirect
538. #547	C₂×D₅	semidirect
550. #546	C₂×D₅	semidirect
559. D₄²	C₂×D₅	semidirect
565. #537	C₂×D₅	semidirect
572. #534	C₂×D₅	semidirect
582. #532	C₂×D₅	semidirect
603. C₂×#121	C₂×D₅	semidirect
616. C₂×C₄×D₄	C₂×D₅	semidirect
627. C₂³×C₅	C₂²×D₄	semidirect
652. C₂²×D₅	C₂²×D₄	semidirect
653. C₂²×D₅	C₂²×D₄	semidirect
665. C₅×D₄	C₂²×D₄	semidirect
673. C₂×C₄×C₅	C₂²×D₄	semidirect
688. C₂²⋊D₅	C₂²×D₄	semidirect
696. C₂×Dic₅	C₂²×D₄	semidirect
709. D₂₀	C₂²×D₄	semidirect
726. C₄×D₅	C₂²×D₄	semidirect
727. C₄×D₅	H(5,𝔽₂)	semidirect
750. C₂×#41	C₂²×D₅	semidirect
751. C₂×#41	C₂²×D₅	semidirect
782. C₂²×D₄	C₂²×D₅	semidirect
783. C₂²×D₄	C₂²×D₅	semidirect
784. C₂²×D₄	C₂²×D₅	semidirect
799. C₂³×C₄	C₂²×D₅	semidirect
804. C₄⋊Q₈	C₂²×D₅	semidirect
809. #127	C₂²×D₅	semidirect
815. #124	C₂²×D₅	semidirect
823. #123	C₂²×D₅	semidirect
829. C₂²⋊Q₈	C₂²×D₅	semidirect
860. #121	C₂²×D₅	semidirect
861. #121	C₂²×D₅	semidirect
862. #121	C₂²×D₅	semidirect
863. #121	C₂²×D₅	semidirect
864. #121	C₂²×D₅	semidirect
865. #121	C₂²×D₅	semidirect
873. #120	C₂²×D₅	semidirect
894. C₄×D₄	C₂²×D₅	semidirect
895. C₄×D₄	C₂²×D₅	semidirect
896. C₄×D₄	C₂²×D₅	semidirect
897. C₄×D₄	C₂²×D₅	semidirect
909. C₂×C₄⋊C₄	C₂²×D₅	semidirect
910. C₂×C₄⋊C₄	C₂²×D₅	semidirect
924. C₂×C₂²⋊C₄	C₂²×D₅	semidirect
925. C₂×C₂²⋊C₄	C₂²×D₅	semidirect
933. C₂×C₄²	C₂²×D₅	semidirect
970. C₄×C₅	C₂×H(5,𝔽₂)	semidirect
976. Dic₅	C₂×H(5,𝔽₂)	semidirect
1051. C₂×D₄	D₄×D₅	semidirect
1152. D₅	#3496	direct (N × H)
1185. C₂³	C₂×D₄×D₅	semidirect
1214. D₄	C₂×D₄×D₅	semidirect
1254. C₂×C₄	C₂×D₄×D₅	semidirect
1261. C₅	C₂×#3496	semidirect
1304. C₄	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
C₅×#3496	2
#10619182	2
#10618603	2
D₅×#547	2
#10618566	2
D₅×#546	2
#10618522	2
D₄²×D₅	2
#10618283	2
D₅×#537	2
D₅×#534	2
#10618199	2
#10618142	2
D₅×#532	2
#10617851	2
C₂×D₅×#121	2
#10617687	2
C₂×C₄×D₄×D₅	2
C₂×#3496	5

Subgroups — D5×#3496 #13007185

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — D₅×#3496 #13007185