Subgroups — #13007916

Order 1280.

9494 conjugacy classes of subgroups.

The subgroup lattice has 1524 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₅×#3484	C₂	1	1	yes	maximal, characteristic, complemented
2	#10619185	C₂	1	2	yes	maximal, complemented
3	#10619140	C₂	1	1	yes	maximal, characteristic, complemented
4	C₂²×#4083	C₂	1	1	yes	maximal, characteristic, complemented
5	#10618568	C₂	1	8	yes	maximal, complemented
6	#10618565	C₂	1	8	yes	maximal, complemented
7	#10618523	C₂	1	8	yes	maximal, complemented
8	#10618521	C₂	1	8	yes	maximal, complemented
9	#10618234	C₂	1	4	yes	maximal, complemented
10	#10618211	C₂	1	4	yes	maximal, complemented
11	#10618210	C₂	1	2	yes	maximal, complemented
12	#10618209	C₂	1	2	yes	maximal, complemented
13	#10617944	C₂	1	4	yes	maximal, complemented
14	#10617820	C₂	1	4	yes	maximal, complemented
15	C₂×D₅×#120	C₂	1	2	yes	maximal, complemented
16	#10617814	C₂	1	2	yes	maximal, complemented
17	#10617769	C₂	1	2	yes	maximal, complemented
18	C₂⁵×D₅	C₂²	1	1	yes	characteristic, complemented
19	C₂×C₅×H(5,𝔽₂)	C₂²	1	1	yes	characteristic, complemented
20	C₂³×C₅×D₄	C₂²	1	1	yes	characteristic, complemented
21	C₂³×C₂²⋊D₅	C₂²	1	2	yes	complemented
22	C₂×#4144	C₂²	1	4	yes	complemented
23	C₂×#4144	C₂²	1	1	yes	characteristic, complemented
24	C₂²×D₄×D₅	C₂²	1	4	yes	complemented
25	C₂²×D₄×D₅	C₂²	1	2	yes	complemented
26	C₅×#546	C₂²	1	8	yes	complemented
27	C₅×D₄²	C₂²	1	8	yes	complemented
28	C₅×#535	C₂²	1	2	yes	complemented
29	C₅×#534	C₂²	1	2	yes	complemented
30	C₅×#534	C₂²	1	2	yes	complemented
31	C₅×#525	C₂²	1	2	yes	complemented
32	C₂×C₅×#120	C₂²	1	2	yes	complemented
33	C₂×C₅×#120	C₂²	1	2	yes	complemented
34	C₅×#518	C₂²	1	1	yes	characteristic, complemented
35	C₂×#4099	C₂²	1	2	yes	complemented
36	C₂×#4099	C₂²	1	2	yes	complemented
37	C₂²×C₂²⋊Dic₅	C₂²	1	1	yes	characteristic, complemented
38	#66164	C₂²	1	4	yes	complemented
39	#66163	C₂²	1	8	yes	complemented
40	#66163	C₂²	1	8	yes	complemented
41	#66162	C₂²	1	4	yes	complemented
42	#66140	C₂²	1	8	yes	complemented
43	#66140	C₂²	1	8	yes	complemented
44	#66139	C₂²	1	2	yes	complemented
45	#66138	C₂²	1	2	yes	complemented
46	#66138	C₂²	1	2	yes	complemented
47	#66138	C₂²	1	2	yes	complemented
48	#66138	C₂²	1	4	yes	complemented
49	#66138	C₂²	1	4	yes	complemented
50	D₄×C₂²⋊D₅	C₂²	1	8	yes	complemented
51	D₄×C₂²⋊D₅	C₂²	1	8	yes	complemented
52	D₄×C₂²⋊D₅	C₂²	1	8	yes	complemented
53	D₄×C₂²⋊D₅	C₂²	1	8	yes	complemented
54	C₂×#4083	C₂²	1	2	yes	complemented
55	C₂×#4083	C₂²	1	2	yes	complemented
56	C₂×#4083	C₂²	1	2	yes	complemented
57	C₂×#4083	C₂²	1	8	yes	complemented
58	C₂×#4083	C₂²	1	2	yes	complemented
59	C₂×#4083	C₂²	1	2	yes	complemented
60	C₂×#4083	C₂²	1	4	yes	complemented
61	C₂×#4083	C₂²	1	8	yes	complemented
62	C₂×#4083	C₂²	1	4	yes	complemented
63	#66132	C₂²	1	1	yes	characteristic, complemented
64	#66132	C₂²	1	2	yes	complemented
65	#66125	C₂²	1	2	yes	complemented
66	C₂²×#685	C₂²	1	2	yes	complemented
67	#66054	C₂²	1	4	yes	complemented
68	#66051	C₂²	1	4	yes	complemented
69	#66049	C₂²	1	8	yes	complemented
70	#66017	C₂²	1	4	yes	complemented
71	#66013	C₂²	1	4	yes	complemented
72	#66012	C₂²	1	8	yes	complemented
73	#66000	C₂²	1	4	yes	complemented
74	#65993	C₂²	1	4	yes	complemented
75	#65992	C₂²	1	8	yes	complemented
76	#65992	C₂²	1	8	yes	complemented
77	#65991	C₂²	1	8	yes	complemented
78	#65990	C₂²	1	4	yes	complemented
79	#65988	C₂²	1	8	yes	complemented
80	#65987	C₂²	1	4	yes	complemented
81	#65978	C₂²	1	4	yes	complemented
82	#65971	C₂²	1	8	yes	complemented
83	#65968	C₂²	1	4	yes	complemented
84	#65954	C₂²	1	8	yes	complemented
85	#65954	C₂²	1	8	yes	complemented
86	#65951	C₂²	1	4	yes	complemented
87	#65951	C₂²	1	8	yes	complemented
88	#65947	C₂²	1	8	yes	complemented
89	#65947	C₂²	1	8	yes	complemented
90	#65946	C₂²	1	8	yes	complemented
91	#65944	C₂²	1	8	yes	complemented
92	#65944	C₂²	1	8	yes	complemented
93	#65944	C₂²	1	8	yes	complemented
94	#65943	C₂²	1	8	yes	complemented
95	#65941	C₂²	1	8	yes	complemented
96	#65940	C₂²	1	8	yes	complemented
97	#65939	C₂²	1	4	yes	complemented
98	#65939	C₂²	1	8	yes	complemented
99	#65928	C₂²	1	4	yes	complemented
100	#65927	C₂²	1	8	yes	complemented
101	#65926	C₂²	1	4	yes	complemented
102	#65926	C₂²	1	8	yes	complemented
103	#65925	C₂²	1	8	yes	complemented
104	#65925	C₂²	1	8	yes	complemented
105	#65925	C₂²	1	8	yes	complemented
106	#65925	C₂²	1	8	yes	complemented
107	#65924	C₂²	1	8	yes	complemented
108	#65924	C₂²	1	8	yes	complemented
109	#65924	C₂²	1	4	yes	complemented
110	#65923	C₂²	1	8	yes	complemented
111	#65923	C₂²	1	8	yes	complemented
112	D₅×#120	C₂²	1	8	yes	complemented
113	D₅×#120	C₂²	1	8	yes	complemented
114	D₅×#120	C₂²	1	8	yes	complemented
115	D₅×#120	C₂²	1	8	yes	complemented
116	D₅×#120	C₂²	1	4	yes	complemented
117	#65921	C₂²	1	8	yes	complemented
118	#65920	C₂²	1	8	yes	complemented
119	#65894	C₂²	1	8	yes	complemented
120	#65894	C₂²	1	8	yes	complemented
121	#65890	C₂²	1	8	yes	complemented
122	#65890	C₂²	1	8	yes	complemented
123	#65888	C₂²	1	8	yes	complemented
124	#65884	C₂²	1	8	yes	complemented
125	#65881	C₂²	1	8	yes	complemented
126	#65879	C₂²	1	8	yes	complemented
127	#65861	C₂²	1	8	yes	complemented
128	#65829	C₂²	1	8	yes	complemented
129	#65827	C₂²	1	4	yes	complemented
130	#65824	C₂²	1	8	yes	complemented
131	#65824	C₂²	1	8	yes	complemented
132	C₂×#4028	C₂²	1	2	yes	complemented
133	C₂×#4028	C₂²	1	4	yes	complemented
134	#65820	C₂²	1	2	yes	complemented
135	#65820	C₂²	1	4	yes	complemented
136	C₂×D₅×C₂²⋊C₄	C₂²	1	2	yes	complemented
137	C₂×D₅×C₂²⋊C₄	C₂²	1	4	yes	complemented
138	#65817	C₂²	1	2	yes	complemented
139	#62817	—	5	1	no	maximal, Sylow
140	C₂⁵×C₅	C₂³	1	1	yes	characteristic
141	C₂⁵×C₅	C₂³	1	1	yes	characteristic, complemented
142	C₂⁴×D₅	—	4	8	no	—
143	C₂⁴×D₅	—	4	4	no	—
144	C₂⁴×D₅	C₂³	1	2	yes	—
145	C₂⁴×D₅	C₂³	1	4	yes	—
146	C₂⁴×D₅	C₂³	1	2	yes	—
147	C₂⁴×D₅	C₂³	1	4	yes	—
148	C₂⁴×D₅	C₂³	1	2	yes	—
149	C₂⁴×D₅	C₂³	1	2	yes	complemented
150	C₅×H(5,𝔽₂)	—	4	4	no	—
151	C₂×C₅×#41	C₂³	1	4	yes	complemented
152	C₂×C₅×#41	C₂³	1	2	yes	complemented
153	C₂²×C₅×D₄	—	4	4	no	—
154	C₂²×C₅×D₄	C₂³	1	1	yes	characteristic
155	C₂²×C₅×D₄	C₂³	1	2	yes	—
156	C₂²×C₅×D₄	C₂³	1	1	yes	characteristic
157	C₂²×C₅×D₄	C₂³	1	8	yes	complemented
158	C₂²×C₅×D₄	C₂³	1	1	yes	characteristic, complemented
159	C₂²×C₅×D₄	C₂³	1	1	yes	characteristic, complemented
160	C₂²×C₅×D₄	C₂³	1	4	yes	complemented
161	C₂²×C₅×D₄	C₂³	1	4	yes	complemented
162	C₂²×C₅×D₄	C₂³	1	2	yes	complemented
163	C₂²×C₅×D₄	C₂³	1	4	yes	complemented
164	C₂³×C₄×C₅	C₂³	1	1	yes	characteristic, complemented
165	C₂²×C₂²⋊D₅	—	4	8	no	—
166	C₂²×C₂²⋊D₅	C₂³	1	2	yes	—
167	C₂²×C₂²⋊D₅	C₂³	1	4	yes	—
168	C₂²×C₂²⋊D₅	C₂³	1	4	yes	complemented
169	C₂²×C₂²⋊D₅	C₂³	1	4	yes	complemented
170	C₂²×C₂²⋊D₅	C₂³	1	8	yes	complemented
171	C₂²×C₂²⋊D₅	C₂³	1	4	yes	complemented
172	C₂²×C₂²⋊D₅	C₂³	1	4	yes	complemented
173	C₂²×C₂²⋊D₅	C₂³	1	2	yes	complemented
174	C₂²×C₂²⋊D₅	C₂³	1	4	yes	complemented
175	C₂²×C₂²⋊D₅	C₂³	1	8	yes	complemented
176	C₂²×C₂²⋊D₅	C₂³	1	4	yes	complemented
177	C₂²×C₂²⋊D₅	C₂³	1	2	yes	complemented
178	C₂³×Dic₅	C₂³	1	2	yes	complemented
179	#4144	—	4	16	no	—
180	#4144	—	4	4	no	—
181	C₂×#711	C₂³	1	8	yes	complemented
182	C₂×#711	C₂³	1	4	yes	complemented
183	C₂×#711	C₂³	1	8	yes	complemented
184	C₂×D₄×D₅	—	4	16	no	—
185	C₂×D₄×D₅	—	4	8	no	—
186	C₂×D₄×D₅	C₂³	1	8	yes	—
187	C₂×D₄×D₅	C₂³	1	8	yes	complemented
188	C₂×D₄×D₅	C₂³	1	8	yes	complemented
189	C₂×D₄×D₅	C₂³	1	8	yes	complemented
190	C₂×D₄×D₅	C₂³	1	8	yes	complemented
191	C₂×D₄×D₅	C₂³	1	8	yes	complemented
192	C₂×D₄×D₅	C₂³	1	8	yes	complemented
193	C₂×D₄×D₅	C₂³	1	4	yes	complemented
194	C₂×#709	C₂³	1	8	yes	complemented
195	C₂×#709	C₂³	1	2	yes	complemented
196	C₂²×D₂₀	C₂³	1	4	yes	complemented
197	C₂²×D₂₀	C₂³	1	2	yes	complemented
198	C₂²×C₄×D₅	C₂³	1	4	yes	complemented
199	C₂²×C₄×D₅	C₂³	1	2	yes	complemented
200	C₅×#127	C₂³	1	4	yes	complemented
201	C₅×#124	C₂³	1	4	yes	complemented
202	C₅×#123	C₂³	1	4	yes	complemented
203	C₅×#123	C₂³	1	4	yes	complemented
204	C₅×#123	C₂³	1	4	yes	complemented
205	C₅×C₂²⋊Q₈	C₂³	1	4	yes	complemented
206	C₅×#121	C₂³	1	8	yes	complemented
207	C₅×#121	C₂³	1	8	yes	complemented
208	C₅×#121	C₂³	1	4	yes	complemented
209	C₅×#121	C₂³	1	8	yes	complemented
210	C₅×#120	C₂³	1	8	yes	—
211	C₅×#120	C₂³	1	4	yes	complemented
212	C₅×#120	C₂³	1	4	yes	complemented
213	C₅×#120	C₂³	1	4	yes	complemented
214	C₅×#120	C₂³	1	8	yes	complemented
215	C₅×#120	C₂³	1	4	yes	complemented
216	C₅×#120	C₂³	1	4	yes	complemented
217	C₄×C₅×D₄	C₂³	1	8	yes	complemented
218	C₄×C₅×D₄	C₂³	1	8	yes	complemented
219	C₅×#117	C₂³	1	2	yes	complemented
220	C₂×C₅×C₂²⋊C₄	C₂³	1	2	yes	—
221	C₂×C₅×C₂²⋊C₄	C₂³	1	4	yes	complemented
222	C₂×C₅×C₂²⋊C₄	C₂³	1	4	yes	complemented
223	C₂×C₅×C₂²⋊C₄	C₂³	1	2	yes	complemented
224	#4099	C₂³	1	8	yes	—
225	#4099	C₂³	1	4	yes	complemented
226	#4099	C₂³	1	4	yes	complemented
227	#4099	C₂³	1	4	yes	complemented
228	#4099	C₂³	1	8	yes	complemented
229	#4099	C₂³	1	4	yes	complemented
230	#4099	C₂³	1	8	yes	complemented
231	C₂×C₂²⋊Dic₅	C₂³	1	2	yes	—
232	C₂×C₂²⋊Dic₅	C₂³	1	2	yes	—
233	C₂×C₂²⋊Dic₅	C₂³	1	4	yes	complemented
234	C₂×C₂²⋊Dic₅	C₂³	1	8	yes	complemented
235	C₂×C₂²⋊Dic₅	C₂³	1	2	yes	complemented
236	C₂×C₂²⋊Dic₅	C₂³	1	4	yes	complemented
237	C₂×C₂²⋊Dic₅	C₂³	1	4	yes	complemented
238	C₂×C₂²⋊Dic₅	C₂³	1	2	yes	complemented
239	#4093	C₂³	1	8	yes	complemented
240	#4092	C₂³	1	8	yes	complemented
241	#4086	C₂³	1	8	yes	complemented
242	#4086	C₂³	1	8	yes	complemented
243	#4086	C₂³	1	4	yes	complemented
244	#4085	C₂³	1	8	yes	complemented
245	#4085	C₂³	1	8	yes	complemented
246	#4085	C₂³	1	8	yes	complemented
247	#4085	C₂³	1	8	yes	complemented
248	#4085	C₂³	1	8	yes	complemented
249	#4085	C₂³	1	8	yes	complemented
250	#4085	C₂³	1	8	yes	complemented
251	#4085	C₂³	1	8	yes	complemented
252	#4085	C₂³	1	8	yes	complemented
253	#4085	C₂³	1	8	yes	complemented
254	#4084	C₂³	1	8	yes	complemented
255	#4084	C₂³	1	8	yes	complemented
256	#4084	C₂³	1	8	yes	complemented
257	#4084	C₂³	1	8	yes	complemented
258	#4083	C₂³	1	4	yes	—
259	#4083	C₂³	1	8	yes	—
260	#4083	C₂³	1	4	yes	—
261	#4083	C₂³	1	8	yes	—
262	#4083	C₂³	1	8	yes	—
263	#4083	C₂³	1	8	yes	—
264	#4083	C₂³	1	8	yes	complemented
265	#4083	C₂³	1	8	yes	complemented
266	#4083	C₂³	1	4	yes	complemented
267	#4083	C₂³	1	8	yes	complemented
268	#4083	C₂³	1	4	yes	complemented
269	#4083	C₂³	1	4	yes	complemented
270	#4083	C₂³	1	4	yes	complemented
271	#4083	C₂³	1	8	yes	complemented
272	#4083	C₂³	1	4	yes	complemented
273	#4083	C₂³	1	4	yes	complemented
274	#4083	C₂³	1	4	yes	complemented
275	#4083	C₂³	1	8	yes	complemented
276	#4083	C₂³	1	4	yes	complemented
277	#4083	C₂³	1	8	yes	complemented
278	#4083	C₂³	1	8	yes	complemented
279	#4083	C₂³	1	8	yes	complemented
280	#4083	C₂³	1	4	yes	complemented
281	#4083	C₂³	1	4	yes	complemented
282	#4083	C₂³	1	4	yes	complemented
283	#4082	C₂³	1	8	yes	complemented
284	#4082	C₂³	1	4	yes	complemented
285	#4081	C₂³	1	4	yes	complemented
286	#4081	C₂³	1	8	yes	complemented
287	#4081	C₂³	1	4	yes	complemented
288	#4081	C₂³	1	4	yes	complemented
289	#4081	C₂³	1	8	yes	complemented
290	D₄×Dic₅	C₂³	1	8	yes	complemented
291	D₄×Dic₅	C₂³	1	8	yes	complemented
292	D₄×Dic₅	C₂³	1	8	yes	complemented
293	D₄×Dic₅	C₂³	1	8	yes	complemented
294	#4076	C₂³	1	8	yes	complemented
295	#4076	C₂³	1	8	yes	complemented
296	#4076	C₂³	1	8	yes	complemented
297	#4076	C₂³	1	4	yes	complemented
298	#4075	C₂³	1	8	yes	complemented
299	#4075	C₂³	1	8	yes	complemented
300	#4075	C₂³	1	4	yes	complemented
301	#4075	C₂³	1	4	yes	complemented
302	C₄×C₂²⋊D₅	C₂³	1	8	yes	complemented
303	C₄×C₂²⋊D₅	C₂³	1	8	yes	complemented
304	C₄×C₂²⋊D₅	C₂³	1	8	yes	complemented
305	C₄×C₂²⋊D₅	C₂³	1	8	yes	complemented
306	C₄×C₂²⋊D₅	C₂³	1	8	yes	complemented
307	C₂×#685	C₂³	1	4	yes	—
308	C₂×#685	C₂³	1	4	yes	complemented
309	C₂×#685	C₂³	1	4	yes	complemented
310	C₂×#685	C₂³	1	4	yes	complemented
311	C₂×#685	C₂³	1	4	yes	complemented
312	C₂×#685	C₂³	1	8	yes	complemented
313	C₂×#685	C₂³	1	4	yes	complemented
314	C₂×#685	C₂³	1	4	yes	complemented
315	C₂×#685	C₂³	1	8	yes	complemented
316	#4072	C₂³	1	4	yes	complemented
317	#4072	C₂³	1	2	yes	complemented
318	#4070	C₂³	1	8	yes	complemented
319	#4070	C₂³	1	4	yes	complemented
320	#4044	C₂³	1	8	yes	complemented
321	#4044	C₂³	1	8	yes	complemented
322	#4044	C₂³	1	8	yes	complemented
323	#4043	C₂³	1	8	yes	complemented
324	#4042	C₂³	1	8	yes	complemented
325	#4042	C₂³	1	8	yes	complemented
326	#4041	C₂³	1	8	yes	complemented
327	#4040	C₂³	1	8	yes	complemented
328	#4040	C₂³	1	8	yes	complemented
329	#4040	C₂³	1	8	yes	complemented
330	#4039	C₂³	1	8	yes	complemented
331	#4038	C₂³	1	8	yes	complemented
332	#4032	C₂³	1	8	yes	complemented
333	#4032	C₂³	1	8	yes	complemented
334	#4032	C₂³	1	8	yes	complemented
335	#4031	C₂³	1	8	yes	complemented
336	#4031	C₂³	1	8	yes	complemented
337	#4031	C₂³	1	8	yes	complemented
338	#4031	C₂³	1	8	yes	complemented
339	#4031	C₂³	1	8	yes	complemented
340	#4030	C₂³	1	8	yes	complemented
341	#4030	C₂³	1	8	yes	complemented
342	#4030	C₂³	1	8	yes	complemented
343	#4030	C₂³	1	8	yes	complemented
344	#4030	C₂³	1	8	yes	complemented
345	#4029	C₂³	1	8	yes	complemented
346	#4029	C₂³	1	8	yes	complemented
347	#4029	C₂³	1	8	yes	complemented
348	#4029	C₂³	1	8	yes	complemented
349	#4028	C₂³	1	8	yes	—
350	#4028	C₂³	1	8	yes	—
351	#4028	C₂³	1	8	yes	complemented
352	#4028	C₂³	1	4	yes	complemented
353	#4028	C₂³	1	4	yes	complemented
354	#4028	C₂³	1	8	yes	complemented
355	#4028	C₂³	1	8	yes	complemented
356	#4028	C₂³	1	8	yes	complemented
357	#4028	C₂³	1	8	yes	complemented
358	#4027	C₂³	1	8	yes	complemented
359	#4027	C₂³	1	8	yes	complemented
360	#4027	C₂³	1	8	yes	complemented
361	#4027	C₂³	1	8	yes	complemented
362	#4027	C₂³	1	8	yes	complemented
363	D₅×C₂²⋊C₄	C₂³	1	8	yes	—
364	D₅×C₂²⋊C₄	C₂³	1	8	yes	complemented
365	D₅×C₂²⋊C₄	C₂³	1	8	yes	complemented
366	D₅×C₂²⋊C₄	C₂³	1	8	yes	complemented
367	D₅×C₂²⋊C₄	C₂³	1	8	yes	complemented
368	D₅×C₂²⋊C₄	C₂³	1	8	yes	complemented
369	D₅×C₂²⋊C₄	C₂³	1	8	yes	complemented
370	D₅×C₂²⋊C₄	C₂³	1	4	yes	complemented
371	#4025	C₂³	1	8	yes	complemented
372	#4025	C₂³	1	8	yes	complemented
373	#4024	C₂³	1	8	yes	complemented
374	#4024	C₂³	1	8	yes	complemented
375	#4024	C₂³	1	8	yes	complemented
376	#4023	C₂³	1	8	yes	complemented
377	#4023	C₂³	1	4	yes	complemented
378	#4022	C₂³	1	8	yes	complemented
379	#4021	C₂³	1	8	yes	complemented
380	C₄×D₂₀	C₂³	1	8	yes	complemented
381	#4018	C₂³	1	8	yes	complemented
382	#3532	—	5	8	no	—
383	#3532	—	5	8	no	—
384	#3532	—	5	4	no	—
385	#3532	—	5	4	no	—
386	#3490	—	5	8	no	—
387	#3490	—	5	2	no	—
388	#3490	—	5	4	no	—
389	#3490	—	5	2	no	—
390	#3490	—	5	2	no	—
391	#3484	—	5	2	no	—
392	#3484	—	5	1	no	—
393	#3484	—	5	8	no	—
394	#3484	—	5	2	no	—
395	#3484	—	5	4	no	—
396	#3484	D₅	1	1	yes	characteristic, complemented
397	C₂²×#120	—	5	1	no	—
398	C₂²×#120	—	5	2	no	—
399	C₂⁴×C₅	—	2	4	no	—
400	C₂⁴×C₅	—	4	4	no	—
401	C₂⁴×C₅	—	4	4	no	—
402	C₂⁴×C₅	—	4	2	no	—
403	C₂⁴×C₅	C₂⁴	1	1	yes	characteristic
404	C₂⁴×C₅	C₂⁴	1	4	yes	—
405	C₂⁴×C₅	C₂⁴	1	1	yes	characteristic
406	C₂⁴×C₅	C₂⁴	1	2	yes	—
407	C₂⁴×C₅	C₂⁴	1	1	yes	characteristic
408	C₂⁴×C₅	C₂⁴	1	4	yes	—
409	C₂⁴×C₅	C₂⁴	1	1	yes	characteristic
410	C₂⁴×C₅	C₂⁴	1	1	yes	characteristic
411	C₂⁴×C₅	C₂⁴	1	2	yes	complemented
412	C₂³×D₅	—	2	8	no	—
413	C₂³×D₅	—	2	16	no	—
414	C₂³×D₅	—	2	8	no	—
415	C₂³×D₅	—	4	8	no	—
416	C₂³×D₅	—	4	8	no	—
417	C₂³×D₅	—	4	8	no	—
418	C₂³×D₅	—	4	8	no	—
419	C₂³×D₅	—	4	8	no	—
420	C₂³×D₅	—	4	8	no	—
421	C₂³×D₅	—	4	8	no	—
422	C₂³×D₅	—	4	4	no	—
423	C₂³×D₅	—	4	4	no	—
424	C₂³×D₅	—	4	4	no	—
425	C₂³×D₅	—	4	8	no	—
426	C₂³×D₅	—	4	4	no	—
427	C₂³×D₅	—	4	64	no	—
428	C₂³×D₅	C₂⁴	1	2	yes	—
429	C₂³×D₅	C₂⁴	1	4	yes	—
430	C₂³×D₅	C₂⁴	1	2	yes	—
431	C₂³×D₅	C₂⁴	1	4	yes	—
432	C₂³×D₅	C₂⁴	1	4	yes	—
433	C₂³×D₅	C₂⁴	1	2	yes	—
434	C₂³×D₅	C₂⁴	1	2	yes	—
435	C₂³×D₅	C₂⁴	1	8	yes	—
436	C₂³×D₅	C₂⁴	1	4	yes	—
437	C₂³×D₅	C₂⁴	1	2	yes	—
438	C₂³×D₅	C₂⁴	1	2	yes	—
439	C₂³×D₅	C₂⁴	1	2	yes	—
440	C₂³×D₅	C₂⁴	1	2	yes	complemented
441	C₅×#41	—	4	8	no	—
442	C₅×#41	—	4	4	no	—
443	C₂×C₅×Q₈	C₂⁴	1	2	yes	complemented
444	C₂×C₅×D₄	—	2	8	no	—
445	C₂×C₅×D₄	—	2	4	no	—
446	C₂×C₅×D₄	—	2	4	no	—
447	C₂×C₅×D₄	—	4	2	no	—
448	C₂×C₅×D₄	—	4	2	no	—
449	C₂×C₅×D₄	—	4	8	no	—
450	C₂×C₅×D₄	—	4	8	no	—
451	C₂×C₅×D₄	—	4	16	no	—
452	C₂×C₅×D₄	—	4	4	no	—
453	C₂×C₅×D₄	—	4	8	no	—
454	C₂×C₅×D₄	C₂⁴	1	4	yes	—
455	C₂×C₅×D₄	C₂⁴	1	8	yes	—
456	C₂×C₅×D₄	C₂⁴	1	4	yes	—
457	C₂×C₅×D₄	C₂⁴	1	4	yes	—
458	C₂×C₅×D₄	C₂⁴	1	4	yes	—
459	C₂×C₅×D₄	C₂⁴	1	8	yes	—
460	C₂×C₅×D₄	C₂⁴	1	4	yes	—
461	C₂×C₅×D₄	C₂⁴	1	4	yes	—
462	C₂×C₅×D₄	C₂⁴	1	8	yes	complemented
463	C₂×C₅×D₄	C₂⁴	1	4	yes	complemented
464	C₂×C₅×D₄	C₂⁴	1	2	yes	complemented
465	C₂²×C₄×C₅	—	4	2	no	—
466	C₂²×C₄×C₅	C₂⁴	1	2	yes	—
467	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
468	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
469	C₂²×C₄×C₅	C₂⁴	1	4	yes	—
470	C₂²×C₄×C₅	C₂⁴	1	4	yes	—
471	C₂²×C₄×C₅	C₂⁴	1	4	yes	complemented
472	C₂²×C₄×C₅	C₂⁴	1	2	yes	complemented
473	C₂²×C₄×C₅	C₂⁴	1	4	yes	complemented
474	C₂×C₂²⋊D₅	—	2	8	no	—
475	C₂×C₂²⋊D₅	—	2	16	no	—
476	C₂×C₂²⋊D₅	—	4	4	no	—
477	C₂×C₂²⋊D₅	—	4	8	no	—
478	C₂×C₂²⋊D₅	—	4	8	no	—
479	C₂×C₂²⋊D₅	—	4	16	no	—
480	C₂×C₂²⋊D₅	—	4	8	no	—
481	C₂×C₂²⋊D₅	—	4	16	no	—
482	C₂×C₂²⋊D₅	—	4	8	no	—
483	C₂×C₂²⋊D₅	—	4	8	no	—
484	C₂×C₂²⋊D₅	—	4	4	no	—
485	C₂×C₂²⋊D₅	—	4	8	no	—
486	C₂×C₂²⋊D₅	C₂⁴	1	4	yes	—
487	C₂×C₂²⋊D₅	C₂⁴	1	8	yes	—
488	C₂×C₂²⋊D₅	C₂⁴	1	4	yes	—
489	C₂×C₂²⋊D₅	C₂⁴	1	8	yes	—
490	C₂×C₂²⋊D₅	C₂⁴	1	8	yes	—
491	C₂×C₂²⋊D₅	C₂⁴	1	8	yes	—
492	C₂×C₂²⋊D₅	C₂⁴	1	8	yes	—
493	C₂×C₂²⋊D₅	C₂⁴	1	8	yes	—
494	C₂×C₂²⋊D₅	C₂⁴	1	8	yes	—
495	C₂×C₂²⋊D₅	C₂⁴	1	8	yes	—
496	C₂×C₂²⋊D₅	C₂⁴	1	8	yes	—
497	C₂×C₂²⋊D₅	C₂⁴	1	8	yes	complemented
498	C₂×C₂²⋊D₅	C₂⁴	1	4	yes	complemented
499	C₂×C₂²⋊D₅	C₂⁴	1	8	yes	complemented
500	C₂²×Dic₅	—	4	4	no	—
501	C₂²×Dic₅	C₂⁴	1	2	yes	—
502	C₂²×Dic₅	C₂⁴	1	4	yes	—
503	C₂²×Dic₅	C₂⁴	1	4	yes	—
504	C₂²×Dic₅	C₂⁴	1	4	yes	—
505	C₂²×Dic₅	C₂⁴	1	4	yes	—
506	C₂²×Dic₅	C₂⁴	1	2	yes	complemented
507	C₂²×Dic₅	C₂⁴	1	4	yes	complemented
508	C₂²×Dic₅	C₂⁴	1	8	yes	complemented
509	#711	—	4	16	no	—
510	#711	—	4	8	no	—
511	#711	—	4	16	no	—
512	D₄×D₅	—	2	32	no	—
513	D₄×D₅	—	4	16	no	—
514	D₄×D₅	—	4	16	no	—
515	D₄×D₅	—	4	16	no	—
516	D₄×D₅	—	4	16	no	—
517	D₄×D₅	—	4	16	no	—
518	D₄×D₅	—	4	16	no	—
519	D₄×D₅	—	4	8	no	—
520	#709	—	4	16	no	—
521	#709	—	4	4	no	—
522	C₂×D₂₀	—	4	8	no	—
523	C₂×D₂₀	—	4	4	no	—
524	C₂×D₂₀	C₂⁴	1	8	yes	—
525	C₂×D₂₀	C₂⁴	1	8	yes	—
526	C₂×D₂₀	C₂⁴	1	8	yes	—
527	C₂×D₂₀	C₂⁴	1	2	yes	complemented
528	C₂×C₄×D₅	—	4	8	no	—
529	C₂×C₄×D₅	—	4	4	no	—
530	C₂×C₄×D₅	C₂⁴	1	8	yes	—
531	C₂×C₄×D₅	C₂⁴	1	8	yes	—
532	C₂×C₄×D₅	C₂⁴	1	8	yes	—
533	C₂×C₄×D₅	C₂⁴	1	8	yes	complemented
534	C₂×C₄×D₅	C₂⁴	1	4	yes	complemented
535	C₂×Dic₁₀	C₂⁴	1	8	yes	complemented
536	C₂×Dic₁₀	C₂⁴	1	2	yes	complemented
537	C₅×C₄⋊C₄	C₂⁴	1	4	yes	complemented
538	C₅×C₄⋊C₄	C₂⁴	1	8	yes	complemented
539	C₅×C₂²⋊C₄	C₂⁴	1	4	yes	—
540	C₅×C₂²⋊C₄	C₂⁴	1	4	yes	—
541	C₅×C₂²⋊C₄	C₂⁴	1	8	yes	—
542	C₅×C₂²⋊C₄	C₂⁴	1	8	yes	—
543	C₅×C₂²⋊C₄	C₂⁴	1	4	yes	complemented
544	C₅×C₂²⋊C₄	C₂⁴	1	8	yes	complemented
545	C₅×C₂²⋊C₄	C₂⁴	1	8	yes	complemented
546	C₄²×C₅	C₂⁴	1	4	yes	complemented
547	C₂²⋊Dic₅	C₂⁴	1	4	yes	—
548	C₂²⋊Dic₅	C₂⁴	1	4	yes	—
549	C₂²⋊Dic₅	C₂⁴	1	4	yes	—
550	C₂²⋊Dic₅	C₂⁴	1	4	yes	—
551	C₂²⋊Dic₅	C₂⁴	1	4	yes	—
552	C₂²⋊Dic₅	C₂⁴	1	4	yes	—
553	C₂²⋊Dic₅	C₂⁴	1	8	yes	—
554	C₂²⋊Dic₅	C₂⁴	1	8	yes	—
555	C₂²⋊Dic₅	C₂⁴	1	8	yes	complemented
556	C₂²⋊Dic₅	C₂⁴	1	4	yes	complemented
557	C₂²⋊Dic₅	C₂⁴	1	8	yes	complemented
558	C₂²⋊Dic₅	C₂⁴	1	8	yes	complemented
559	#685	C₂⁴	1	8	yes	—
560	#685	C₂⁴	1	8	yes	—
561	#685	C₂⁴	1	8	yes	—
562	#685	C₂⁴	1	8	yes	—
563	#685	C₂⁴	1	8	yes	—
564	#685	C₂⁴	1	8	yes	—
565	#685	C₂⁴	1	8	yes	—
566	#685	C₂⁴	1	8	yes	—
567	#685	C₂⁴	1	8	yes	—
568	#685	C₂⁴	1	8	yes	—
569	#685	C₂⁴	1	8	yes	complemented
570	#685	C₂⁴	1	8	yes	complemented
571	#685	C₂⁴	1	8	yes	complemented
572	C₄⋊Dic₅	C₂⁴	1	8	yes	complemented
573	C₄⋊Dic₅	C₂⁴	1	8	yes	complemented
574	C₄⋊Dic₅	C₂⁴	1	4	yes	complemented
575	#683	C₂⁴	1	8	yes	complemented
576	#683	C₂⁴	1	8	yes	complemented
577	#683	C₂⁴	1	8	yes	complemented
578	#683	C₂⁴	1	8	yes	complemented
579	#683	C₂⁴	1	8	yes	complemented
580	C₄×Dic₅	C₂⁴	1	8	yes	complemented
581	C₄×Dic₅	C₂⁴	1	8	yes	complemented
582	C₄×Dic₅	C₂⁴	1	4	yes	complemented
583	C₂⁶	—	5	1	no	—
584	C₂×H(5,𝔽₂)	—	5	1	no	—
585	C₂×H(5,𝔽₂)	—	5	4	no	—
586	C₂×H(5,𝔽₂)	C₂×D₅	1	1	yes	characteristic, complemented
587	C₂³×D₄	—	5	2	no	—
588	C₂³×D₄	—	5	2	no	—
589	C₂³×D₄	—	5	4	no	—
590	C₂³×D₄	C₂×D₅	1	1	yes	characteristic, complemented
591	H(3,𝔽₄)	—	5	4	no	—
592	H(3,𝔽₄)	—	5	4	no	—
593	#560	—	5	4	no	—
594	#560	—	5	4	no	—
595	#560	—	5	8	no	—
596	#560	—	5	8	no	—
597	#551	—	5	4	no	—
598	#551	—	5	8	no	—
599	#551	—	5	8	no	—
600	#551	—	5	4	no	—
601	#551	—	5	8	no	—
602	#551	—	5	8	no	—
603	#551	—	5	8	no	—
604	#551	—	5	8	no	—
605	#551	—	5	8	no	—
606	#551	—	5	8	no	—
607	#546	—	5	8	no	—
608	#546	—	5	8	no	—
609	#546	—	5	8	no	—
610	#546	—	5	8	no	—
611	#546	—	5	8	no	—
612	#546	—	5	8	no	—
613	#546	—	5	8	no	—
614	#546	—	5	8	no	—
615	#546	—	5	8	no	—
616	#546	—	5	8	no	—
617	#546	—	5	8	no	—
618	#546	—	5	8	no	—
619	#546	—	5	8	no	—
620	#546	—	5	8	no	—
621	#546	—	5	8	no	—
622	#546	—	5	8	no	—
623	#546	—	5	8	no	—
624	#546	C₂×D₅	1	8	yes	complemented
625	D₄²	—	5	8	no	—
626	D₄²	—	5	8	no	—
627	D₄²	—	5	8	no	—
628	D₄²	—	5	8	no	—
629	D₄²	—	5	4	no	—
630	D₄²	—	5	8	no	—
631	D₄²	—	5	8	no	—
632	D₄²	—	5	8	no	—
633	D₄²	—	5	4	no	—
634	D₄²	C₂×D₅	1	8	yes	complemented
635	#543	—	5	4	no	—
636	#543	—	5	2	no	—
637	#538	—	5	8	no	—
638	#538	—	5	8	no	—
639	#538	—	5	4	no	—
640	#538	—	5	8	no	—
641	#538	—	5	8	no	—
642	#538	—	5	8	no	—
643	#538	—	5	4	no	—
644	#538	—	5	8	no	—
645	#538	—	5	8	no	—
646	#538	—	5	8	no	—
647	#535	—	5	4	no	—
648	#535	—	5	2	no	—
649	#535	—	5	8	no	—
650	#535	—	5	8	no	—
651	#535	—	5	4	no	—
652	#535	—	5	8	no	—
653	#535	C₂×D₅	1	2	yes	complemented
654	#534	—	5	2	no	—
655	#534	—	5	2	no	—
656	#534	—	5	2	no	—
657	#534	—	5	4	no	—
658	#534	—	5	4	no	—
659	#534	—	5	4	no	—
660	#534	—	5	4	no	—
661	#534	—	5	8	no	—
662	#534	—	5	8	no	—
663	#534	—	5	8	no	—
664	#534	—	5	4	no	—
665	#534	C₂×D₅	1	2	yes	complemented
666	#534	C₂×D₅	1	2	yes	complemented
667	#525	—	5	4	no	—
668	#525	—	5	2	no	—
669	#525	—	5	4	no	—
670	#525	—	5	8	no	—
671	#525	—	5	8	no	—
672	#525	—	5	8	no	—
673	#525	C₂×D₅	1	2	yes	complemented
674	C₂×#120	—	5	2	no	—
675	C₂×#120	—	5	2	no	—
676	C₂×#120	—	5	2	no	—
677	C₂×#120	—	5	2	no	—
678	C₂×#120	—	5	2	no	—
679	C₂×#120	—	5	8	no	—
680	C₂×#120	—	5	2	no	—
681	C₂×#120	—	5	2	no	—
682	C₂×#120	—	5	8	no	—
683	C₂×#120	—	5	4	no	—
684	C₂×#120	—	5	4	no	—
685	C₂×#120	—	5	8	no	—
686	C₂×#120	—	5	8	no	—
687	C₂×#120	—	5	8	no	—
688	C₂×#120	—	5	8	no	—
689	C₂×#120	—	5	4	no	—
690	C₂×#120	—	5	2	no	—
691	C₂×#120	—	5	4	no	—
692	C₂×#120	C₂×D₅	1	2	yes	complemented
693	C₂×#120	C₂×D₅	1	2	yes	complemented
694	#518	—	5	1	no	—
695	#518	—	5	2	no	—
696	#518	—	5	8	no	—
697	#518	—	5	2	no	—
698	#518	—	5	4	no	—
699	#518	C₂×D₅	1	1	yes	characteristic, complemented
700	C₂²×C₂²⋊C₄	—	5	1	no	—
701	C₂²×C₂²⋊C₄	—	5	2	no	—
702	C₂²×C₂²⋊C₄	—	5	2	no	—
703	C₂²×C₂²⋊C₄	—	5	4	no	—
704	C₂³×C₅	—	2	4	no	—
705	C₂³×C₅	—	2	2	no	—
706	C₂³×C₅	—	2	8	no	—
707	C₂³×C₅	—	2	8	no	—
708	C₂³×C₅	—	2	2	no	—
709	C₂³×C₅	—	2	8	no	—
710	C₂³×C₅	—	2	2	no	—
711	C₂³×C₅	—	2	4	no	—
712	C₂³×C₅	—	2	2	no	—
713	C₂³×C₅	—	4	2	no	—
714	C₂³×C₅	—	4	4	no	—
715	C₂³×C₅	—	4	2	no	—
716	C₂³×C₅	—	4	2	no	—
717	C₂³×C₅	—	4	4	no	—
718	C₂³×C₅	—	4	2	no	—
719	C₂³×C₅	—	4	4	no	—
720	C₂³×C₅	—	4	4	no	—
721	C₂³×C₅	—	4	4	no	—
722	C₂³×C₅	—	4	2	no	—
723	C₂³×C₅	—	4	16	no	—
724	C₂³×C₅	—	8	8	no	—
725	C₂³×C₅	H(5,𝔽₂)	1	4	yes	complemented
726	C₂³×C₅	C₂⁵	1	2	yes	—
727	C₂³×C₅	C₂⁵	1	4	yes	—
728	C₂³×C₅	C₂⁵	1	2	yes	—
729	C₂³×C₅	C₂⁵	1	2	yes	—
730	C₂³×C₅	C₂⁵	1	2	yes	—
731	C₂³×C₅	C₂⁵	1	1	yes	characteristic
732	C₂³×C₅	C₂⁵	1	2	yes	—
733	C₂²×D₅	—	2	4	no	—
734	C₂²×D₅	—	2	8	no	—
735	C₂²×D₅	—	2	4	no	—
736	C₂²×D₅	—	2	8	no	—
737	C₂²×D₅	—	2	8	no	—
738	C₂²×D₅	—	2	8	no	—
739	C₂²×D₅	—	2	4	no	—
740	C₂²×D₅	—	2	4	no	—
741	C₂²×D₅	—	2	8	no	—
742	C₂²×D₅	—	2	8	no	—
743	C₂²×D₅	—	2	8	no	—
744	C₂²×D₅	—	2	8	no	—
745	C₂²×D₅	—	2	8	no	—
746	C₂²×D₅	—	2	16	no	—
747	C₂²×D₅	—	4	2	no	—
748	C₂²×D₅	—	4	2	no	—
749	C₂²×D₅	—	4	2	no	—
750	C₂²×D₅	—	4	4	no	—
751	C₂²×D₅	—	4	4	no	—
752	C₂²×D₅	—	4	4	no	—
753	C₂²×D₅	—	4	4	no	—
754	C₂²×D₅	—	4	4	no	—
755	C₂²×D₅	—	4	2	no	—
756	C₂²×D₅	—	4	2	no	—
757	C₂²×D₅	—	4	2	no	—
758	C₂²×D₅	—	4	4	no	—
759	C₂²×D₅	—	4	4	no	—
760	C₂²×D₅	—	4	4	no	—
761	C₂²×D₅	—	4	8	no	—
762	C₂²×D₅	—	4	8	no	—
763	C₂²×D₅	—	4	4	no	—
764	C₂²×D₅	—	4	2	no	—
765	C₂²×D₅	—	4	64	no	—
766	C₂²×D₅	—	4	32	no	—
767	C₂²×D₅	—	4	32	no	—
768	C₂²×D₅	—	4	32	no	—
769	C₂²×D₅	—	4	64	no	—
770	C₂²×D₅	—	8	16	no	—
771	C₂²×D₅	H(5,𝔽₂)	1	8	yes	complemented
772	C₂²×D₅	C₂⁵	1	4	yes	—
773	C₂²×D₅	C₂⁵	1	4	yes	—
774	C₂²×D₅	C₂⁵	1	4	yes	—
775	C₅×Q₈	—	4	2	no	—
776	C₅×D₄	—	2	16	no	—
777	C₅×D₄	—	2	8	no	—
778	C₅×D₄	—	2	8	no	—
779	C₅×D₄	—	2	8	no	—
780	C₅×D₄	—	2	8	no	—
781	C₅×D₄	—	4	8	no	—
782	C₅×D₄	—	4	8	no	—
783	C₅×D₄	—	4	4	no	—
784	C₅×D₄	—	4	4	no	—
785	C₅×D₄	—	4	4	no	—
786	C₅×D₄	—	4	2	no	—
787	C₂×C₄×C₅	—	2	4	no	—
788	C₂×C₄×C₅	—	2	2	no	—
789	C₂×C₄×C₅	—	2	2	no	—
790	C₂×C₄×C₅	—	4	4	no	—
791	C₂×C₄×C₅	—	4	4	no	—
792	C₂×C₄×C₅	—	4	4	no	—
793	C₂×C₄×C₅	—	4	2	no	—
794	C₂×C₄×C₅	—	4	4	no	—
795	C₂×C₄×C₅	C₂⁵	1	4	yes	—
796	C₂×C₄×C₅	C₂⁵	1	2	yes	—
797	C₂×C₄×C₅	C₂⁵	1	8	yes	—
798	C₂×C₄×C₅	C₂⁵	1	2	yes	—
799	C₂²⋊D₅	—	2	8	no	—
800	C₂²⋊D₅	—	2	16	no	—
801	C₂²⋊D₅	—	2	8	no	—
802	C₂²⋊D₅	—	2	16	no	—
803	C₂²⋊D₅	—	2	16	no	—
804	C₂²⋊D₅	—	2	16	no	—
805	C₂²⋊D₅	—	4	8	no	—
806	C₂²⋊D₅	—	4	8	no	—
807	C₂²⋊D₅	—	4	8	no	—
808	C₂²⋊D₅	—	4	8	no	—
809	C₂²⋊D₅	—	4	4	no	—
810	C₂²⋊D₅	—	4	8	no	—
811	C₂²⋊D₅	—	4	8	no	—
812	C₂²⋊D₅	—	4	8	no	—
813	C₂×Dic₅	—	2	4	no	—
814	C₂×Dic₅	—	2	8	no	—
815	C₂×Dic₅	—	4	4	no	—
816	C₂×Dic₅	—	4	4	no	—
817	C₂×Dic₅	—	4	8	no	—
818	C₂×Dic₅	—	4	2	no	—
819	C₂×Dic₅	—	4	4	no	—
820	C₂×Dic₅	—	4	4	no	—
821	C₂×Dic₅	C₂⁵	1	4	yes	—
822	C₂×Dic₅	C₂⁵	1	8	yes	—
823	C₂×Dic₅	C₂⁵	1	8	yes	—
824	D₂₀	—	2	16	no	—
825	D₂₀	—	4	8	no	—
826	D₂₀	—	4	8	no	—
827	D₂₀	—	4	2	no	—
828	C₄×D₅	—	2	16	no	—
829	C₄×D₅	—	4	8	no	—
830	C₄×D₅	—	4	8	no	—
831	C₄×D₅	—	4	4	no	—
832	C₄×D₅	—	4	8	no	—
833	Dic₁₀	—	4	8	no	—
834	Dic₁₀	—	4	2	no	—
835	C₂⁵	—	5	4	no	—
836	C₂⁵	—	5	2	no	—
837	C₂⁵	—	5	2	no	—
838	C₂⁵	—	5	2	no	—
839	C₂⁵	—	5	4	no	—
840	C₂⁵	—	5	2	no	—
841	C₂⁵	—	20	4	no	—
842	C₂⁵	—	20	8	no	—
843	C₂⁵	C₂²×D₅	1	1	yes	characteristic
844	C₂⁵	C₂²×D₅	1	1	yes	characteristic, complemented
845	H(5,𝔽₂)	—	4	4	no	—
846	H(5,𝔽₂)	—	20	4	no	—
847	H(5,𝔽₂)	—	20	16	no	—
848	C₂×#41	—	5	4	no	—
849	C₂×#41	—	5	8	no	—
850	C₂×#41	—	5	8	no	—
851	C₂×#41	—	5	2	no	—
852	C₂×#41	—	5	8	no	—
853	C₂×#41	C₂²×D₅	1	4	yes	complemented
854	C₂×#41	C₂²×D₅	1	2	yes	complemented
855	C₂²×D₄	—	4	4	no	—
856	C₂²×D₄	—	5	4	no	—
857	C₂²×D₄	—	5	2	no	—
858	C₂²×D₄	—	5	2	no	—
859	C₂²×D₄	—	5	4	no	—
860	C₂²×D₄	—	5	4	no	—
861	C₂²×D₄	—	5	4	no	—
862	C₂²×D₄	—	5	4	no	—
863	C₂²×D₄	—	5	8	no	—
864	C₂²×D₄	—	5	4	no	—
865	C₂²×D₄	—	5	2	no	—
866	C₂²×D₄	—	5	4	no	—
867	C₂²×D₄	—	5	8	no	—
868	C₂²×D₄	—	5	8	no	—
869	C₂²×D₄	—	5	8	no	—
870	C₂²×D₄	—	5	8	no	—
871	C₂²×D₄	—	5	8	no	—
872	C₂²×D₄	—	5	8	no	—
873	C₂²×D₄	—	5	8	no	—
874	C₂²×D₄	—	5	4	no	—
875	C₂²×D₄	—	5	8	no	—
876	C₂²×D₄	—	5	2	no	—
877	C₂²×D₄	—	5	4	no	—
878	C₂²×D₄	—	20	8	no	—
879	C₂²×D₄	—	20	16	no	—
880	C₂²×D₄	—	20	8	no	—
881	C₂²×D₄	C₂²×D₅	1	1	yes	characteristic
882	C₂²×D₄	C₂²×D₅	1	2	yes	—
883	C₂²×D₄	C₂²×D₅	1	1	yes	characteristic
884	C₂²×D₄	C₂²×D₅	1	1	yes	characteristic, complemented
885	C₂²×D₄	C₂²×D₅	1	1	yes	characteristic, complemented
886	C₂²×D₄	C₂²×D₅	1	8	yes	complemented
887	C₂²×D₄	C₂²×D₅	1	4	yes	complemented
888	C₂²×D₄	C₂²×D₅	1	4	yes	complemented
889	C₂²×D₄	C₂²×D₅	1	4	yes	complemented
890	C₂²×D₄	C₂²×D₅	1	2	yes	complemented
891	C₂³×C₄	—	5	2	no	—
892	C₂³×C₄	—	5	2	no	—
893	C₂³×C₄	—	5	4	no	—
894	C₂³×C₄	C₂²×D₅	1	1	yes	characteristic, complemented
895	#127	—	5	4	no	—
896	#127	—	5	8	no	—
897	#127	—	5	8	no	—
898	#127	C₂²×D₅	1	4	yes	complemented
899	#126	—	5	8	no	—
900	#126	—	5	8	no	—
901	#126	—	5	8	no	—
902	#126	—	5	8	no	—
903	#126	—	5	8	no	—
904	#126	—	5	8	no	—
905	#124	—	5	8	no	—
906	#124	—	5	4	no	—
907	#124	—	5	8	no	—
908	#124	—	5	8	no	—
909	#124	—	5	8	no	—
910	#124	—	5	8	no	—
911	#124	—	5	8	no	—
912	#124	—	5	8	no	—
913	#124	—	5	8	no	—
914	#124	C₂²×D₅	1	4	yes	complemented
915	#123	—	5	4	no	—
916	#123	—	5	8	no	—
917	#123	—	5	4	no	—
918	#123	—	5	4	no	—
919	#123	—	5	8	no	—
920	#123	—	5	4	no	—
921	#123	—	5	4	no	—
922	#123	—	5	8	no	—
923	#123	—	5	8	no	—
924	#123	—	5	8	no	—
925	#123	—	5	8	no	—
926	#123	—	5	8	no	—
927	#123	—	5	8	no	—
928	#123	—	5	8	no	—
929	#123	—	5	8	no	—
930	#123	—	5	8	no	—
931	#123	—	5	8	no	—
932	#123	—	5	8	no	—
933	#123	—	5	8	no	—
934	#123	C₂²×D₅	1	4	yes	complemented
935	#123	C₂²×D₅	1	4	yes	complemented
936	#123	C₂²×D₅	1	4	yes	complemented
937	C₂²⋊Q₈	—	5	8	no	—
938	C₂²⋊Q₈	—	5	4	no	—
939	C₂²⋊Q₈	—	5	8	no	—
940	C₂²⋊Q₈	—	5	8	no	—
941	C₂²⋊Q₈	—	5	8	no	—
942	C₂²⋊Q₈	—	5	8	no	—
943	C₂²⋊Q₈	—	5	8	no	—
944	C₂²⋊Q₈	—	5	8	no	—
945	C₂²⋊Q₈	—	5	8	no	—
946	C₂²⋊Q₈	C₂²×D₅	1	4	yes	complemented
947	#121	—	5	8	no	—
948	#121	—	5	8	no	—
949	#121	—	5	8	no	—
950	#121	—	5	8	no	—
951	#121	—	5	8	no	—
952	#121	—	5	8	no	—
953	#121	—	5	8	no	—
954	#121	—	5	8	no	—
955	#121	—	5	8	no	—
956	#121	—	5	8	no	—
957	#121	—	5	8	no	—
958	#121	—	5	8	no	—
959	#121	—	5	8	no	—
960	#121	—	5	8	no	—
961	#121	—	5	4	no	—
962	#121	—	5	8	no	—
963	#121	—	5	8	no	—
964	#121	—	5	8	no	—
965	#121	—	5	8	no	—
966	#121	—	5	8	no	—
967	#121	—	5	8	no	—
968	#121	—	5	8	no	—
969	#121	—	5	8	no	—
970	#121	—	5	8	no	—
971	#121	C₂²×D₅	1	8	yes	complemented
972	#121	C₂²×D₅	1	8	yes	complemented
973	#121	C₂²×D₅	1	8	yes	complemented
974	#121	C₂²×D₅	1	4	yes	complemented
975	#120	—	5	8	no	—
976	#120	—	5	4	no	—
977	#120	—	5	4	no	—
978	#120	—	5	4	no	—
979	#120	—	5	8	no	—
980	#120	—	5	4	no	—
981	#120	—	5	8	no	—
982	#120	—	5	4	no	—
983	#120	—	5	4	no	—
984	#120	—	5	4	no	—
985	#120	—	5	4	no	—
986	#120	—	5	4	no	—
987	#120	—	5	8	no	—
988	#120	—	5	4	no	—
989	#120	—	5	8	no	—
990	#120	—	5	8	no	—
991	#120	—	5	8	no	—
992	#120	—	5	8	no	—
993	#120	—	5	8	no	—
994	#120	—	5	8	no	—
995	#120	—	5	8	no	—
996	#120	—	5	4	no	—
997	#120	—	5	4	no	—
998	#120	—	5	4	no	—
999	#120	—	5	4	no	—
1000	#120	—	5	8	no	—
1001	#120	—	5	4	no	—
1002	#120	—	5	4	no	—
1003	#120	—	5	4	no	—
1004	#120	—	5	8	no	—
1005	#120	—	5	8	no	—
1006	#120	—	5	8	no	—
1007	#120	—	5	4	no	—
1008	#120	—	5	8	no	—
1009	#120	—	5	4	no	—
1010	#120	—	5	8	no	—
1011	#120	—	5	8	no	—
1012	#120	—	5	8	no	—
1013	#120	—	5	8	no	—
1014	#120	—	5	8	no	—
1015	#120	—	5	8	no	—
1016	#120	C₂²×D₅	1	8	yes	—
1017	#120	C₂²×D₅	1	4	yes	complemented
1018	#120	C₂²×D₅	1	4	yes	complemented
1019	#120	C₂²×D₅	1	4	yes	complemented
1020	#120	C₂²×D₅	1	8	yes	complemented
1021	#120	C₂²×D₅	1	4	yes	complemented
1022	#120	C₂²×D₅	1	4	yes	complemented
1023	C₄×D₄	—	5	8	no	—
1024	C₄×D₄	—	5	8	no	—
1025	C₄×D₄	—	5	8	no	—
1026	C₄×D₄	—	5	8	no	—
1027	C₄×D₄	—	5	8	no	—
1028	C₄×D₄	—	5	8	no	—
1029	C₄×D₄	—	5	8	no	—
1030	C₄×D₄	—	5	8	no	—
1031	C₄×D₄	—	5	8	no	—
1032	C₄×D₄	—	5	8	no	—
1033	C₄×D₄	—	5	8	no	—
1034	C₄×D₄	—	5	8	no	—
1035	C₄×D₄	—	5	8	no	—
1036	C₄×D₄	—	5	8	no	—
1037	C₄×D₄	—	5	8	no	—
1038	C₄×D₄	—	5	8	no	—
1039	C₄×D₄	C₂²×D₅	1	8	yes	complemented
1040	C₄×D₄	C₂²×D₅	1	8	yes	complemented
1041	#117	—	5	2	no	—
1042	#117	—	5	4	no	—
1043	#117	—	5	8	no	—
1044	#117	—	5	4	no	—
1045	#117	—	5	8	no	—
1046	#117	—	5	8	no	—
1047	#117	C₂²×D₅	1	2	yes	complemented
1048	C₂×C₂²⋊C₄	—	5	2	no	—
1049	C₂×C₂²⋊C₄	—	5	2	no	—
1050	C₂×C₂²⋊C₄	—	5	2	no	—
1051	C₂×C₂²⋊C₄	—	5	8	no	—
1052	C₂×C₂²⋊C₄	—	5	4	no	—
1053	C₂×C₂²⋊C₄	—	5	4	no	—
1054	C₂×C₂²⋊C₄	—	5	2	no	—
1055	C₂×C₂²⋊C₄	—	5	4	no	—
1056	C₂×C₂²⋊C₄	—	5	4	no	—
1057	C₂×C₂²⋊C₄	—	5	4	no	—
1058	C₂×C₂²⋊C₄	—	5	4	no	—
1059	C₂×C₂²⋊C₄	—	5	8	no	—
1060	C₂×C₂²⋊C₄	—	5	4	no	—
1061	C₂×C₂²⋊C₄	—	5	4	no	—
1062	C₂×C₂²⋊C₄	—	5	4	no	—
1063	C₂×C₂²⋊C₄	—	5	4	no	—
1064	C₂×C₂²⋊C₄	—	5	8	no	—
1065	C₂×C₂²⋊C₄	—	5	8	no	—
1066	C₂×C₂²⋊C₄	—	5	8	no	—
1067	C₂×C₂²⋊C₄	—	5	8	no	—
1068	C₂×C₂²⋊C₄	—	5	8	no	—
1069	C₂×C₂²⋊C₄	—	5	8	no	—
1070	C₂×C₂²⋊C₄	—	5	8	no	—
1071	C₂×C₂²⋊C₄	—	5	4	no	—
1072	C₂×C₂²⋊C₄	—	5	8	no	—
1073	C₂×C₂²⋊C₄	C₂²×D₅	1	2	yes	—
1074	C₂×C₂²⋊C₄	C₂²×D₅	1	4	yes	complemented
1075	C₂×C₂²⋊C₄	C₂²×D₅	1	4	yes	complemented
1076	C₂×C₂²⋊C₄	C₂²×D₅	1	2	yes	complemented
1077	C₂²×C₅	—	2	8	no	—
1078	C₂²×C₅	—	2	2	no	—
1079	C₂²×C₅	—	2	2	no	—
1080	C₂²×C₅	—	2	4	no	—
1081	C₂²×C₅	—	2	2	no	—
1082	C₂²×C₅	—	2	4	no	—
1083	C₂²×C₅	—	2	8	no	—
1084	C₂²×C₅	—	2	2	no	—
1085	C₂²×C₅	—	2	4	no	—
1086	C₂²×C₅	—	2	4	no	—
1087	C₂²×C₅	—	2	4	no	—
1088	C₂²×C₅	—	2	2	no	—
1089	C₂²×C₅	—	2	2	no	—
1090	C₂²×C₅	—	4	4	no	—
1091	C₂²×C₅	—	4	16	no	—
1092	C₂²×C₅	—	4	4	no	—
1093	C₂²×C₅	—	8	4	no	—
1094	C₂²×C₅	—	8	2	no	—
1095	C₂²×C₅	—	8	8	no	—
1096	C₂²×C₅	—	8	2	no	—
1097	C₂²×C₅	—	16	2	no	—
1098	C₂²×C₅	C₂×H(5,𝔽₂)	1	4	yes	—
1099	C₂²×C₅	C₂×H(5,𝔽₂)	1	2	yes	—
1100	C₂²×C₅	C₂×H(5,𝔽₂)	1	4	yes	—
1101	C₂²×C₅	C₂⁶	1	1	yes	characteristic
1102	C₂×D₅	—	2	16	no	—
1103	C₂×D₅	—	2	4	no	—
1104	C₂×D₅	—	2	4	no	—
1105	C₂×D₅	—	2	8	no	—
1106	C₂×D₅	—	2	4	no	—
1107	C₂×D₅	—	2	4	no	—
1108	C₂×D₅	—	2	4	no	—
1109	C₂×D₅	—	2	4	no	—
1110	C₂×D₅	—	4	8	no	—
1111	C₂×D₅	—	4	8	no	—
1112	C₂×D₅	—	4	16	no	—
1113	C₂×D₅	—	4	16	no	—
1114	C₂×D₅	—	4	16	no	—
1115	C₂×D₅	—	4	16	no	—
1116	C₂×D₅	—	4	8	no	—
1117	C₂×D₅	—	4	8	no	—
1118	C₂×D₅	—	4	8	no	—
1119	C₂×D₅	—	8	16	no	—
1120	C₂×D₅	—	8	4	no	—
1121	C₂×D₅	—	16	2	no	—
1122	C₂×D₅	C₂×H(5,𝔽₂)	1	8	yes	—
1123	C₄×C₅	—	2	8	no	—
1124	C₄×C₅	—	2	2	no	—
1125	C₄×C₅	—	2	4	no	—
1126	C₄×C₅	—	2	2	no	—
1127	Dic₅	—	2	8	no	—
1128	Dic₅	—	2	4	no	—
1129	Dic₅	—	2	8	no	—
1130	C₂⁴	—	2	4	no	—
1131	C₂⁴	—	4	4	no	—
1132	C₂⁴	—	4	2	no	—
1133	C₂⁴	—	4	4	no	—
1134	C₂⁴	—	5	2	no	—
1135	C₂⁴	—	5	2	no	—
1136	C₂⁴	—	5	2	no	—
1137	C₂⁴	—	5	4	no	—
1138	C₂⁴	—	5	4	no	—
1139	C₂⁴	—	5	4	no	—
1140	C₂⁴	—	5	4	no	—
1141	C₂⁴	—	5	2	no	—
1142	C₂⁴	—	5	2	no	—
1143	C₂⁴	—	5	8	no	—
1144	C₂⁴	—	5	2	no	—
1145	C₂⁴	—	5	2	no	—
1146	C₂⁴	—	5	2	no	—
1147	C₂⁴	—	10	8	no	—
1148	C₂⁴	—	10	16	no	—
1149	C₂⁴	—	10	8	no	—
1150	C₂⁴	—	20	4	no	—
1151	C₂⁴	—	20	4	no	—
1152	C₂⁴	—	20	8	no	—
1153	C₂⁴	—	20	8	no	—
1154	C₂⁴	—	20	4	no	—
1155	C₂⁴	—	20	8	no	—
1156	C₂⁴	—	20	4	no	—
1157	C₂⁴	—	20	8	no	—
1158	C₂⁴	—	20	8	no	—
1159	C₂⁴	—	20	8	no	—
1160	C₂⁴	—	20	8	no	—
1161	C₂⁴	—	20	8	no	—
1162	C₂⁴	—	20	64	no	—
1163	C₂⁴	C₂³×D₅	1	1	yes	characteristic
1164	C₂⁴	C₂³×D₅	1	4	yes	—
1165	C₂⁴	C₂³×D₅	1	1	yes	characteristic
1166	C₂⁴	C₂³×D₅	1	2	yes	—
1167	C₂⁴	C₂³×D₅	1	1	yes	characteristic
1168	C₂⁴	C₂³×D₅	1	4	yes	—
1169	C₂⁴	C₂³×D₅	1	1	yes	characteristic
1170	C₂⁴	C₂³×D₅	1	1	yes	characteristic
1171	C₂⁴	C₂³×D₅	1	2	yes	complemented
1172	#41	—	4	4	no	—
1173	#41	—	4	8	no	—
1174	#41	—	20	4	no	—
1175	#41	—	20	16	no	—
1176	#41	—	20	8	no	—
1177	#41	—	20	16	no	—
1178	#41	—	20	16	no	—
1179	C₂×Q₈	—	5	2	no	—
1180	C₂×Q₈	—	5	8	no	—
1181	C₂×Q₈	C₂³×D₅	1	2	yes	complemented
1182	C₂×D₄	—	2	4	no	—
1183	C₂×D₄	—	2	4	no	—
1184	C₂×D₄	—	2	8	no	—
1185	C₂×D₄	—	4	2	no	—
1186	C₂×D₄	—	4	2	no	—
1187	C₂×D₄	—	4	16	no	—
1188	C₂×D₄	—	4	8	no	—
1189	C₂×D₄	—	4	8	no	—
1190	C₂×D₄	—	4	4	no	—
1191	C₂×D₄	—	4	8	no	—
1192	C₂×D₄	—	5	8	no	—
1193	C₂×D₄	—	5	8	no	—
1194	C₂×D₄	—	5	8	no	—
1195	C₂×D₄	—	5	4	no	—
1196	C₂×D₄	—	5	4	no	—
1197	C₂×D₄	—	5	8	no	—
1198	C₂×D₄	—	5	8	no	—
1199	C₂×D₄	—	5	8	no	—
1200	C₂×D₄	—	5	8	no	—
1201	C₂×D₄	—	5	8	no	—
1202	C₂×D₄	—	5	8	no	—
1203	C₂×D₄	—	5	8	no	—
1204	C₂×D₄	—	5	8	no	—
1205	C₂×D₄	—	5	4	no	—
1206	C₂×D₄	—	5	8	no	—
1207	C₂×D₄	—	5	8	no	—
1208	C₂×D₄	—	5	8	no	—
1209	C₂×D₄	—	5	2	no	—
1210	C₂×D₄	—	10	32	no	—
1211	C₂×D₄	—	10	16	no	—
1212	C₂×D₄	—	10	8	no	—
1213	C₂×D₄	—	20	4	no	—
1214	C₂×D₄	—	20	8	no	—
1215	C₂×D₄	—	20	16	no	—
1216	C₂×D₄	—	20	4	no	—
1217	C₂×D₄	—	20	8	no	—
1218	C₂×D₄	—	20	16	no	—
1219	C₂×D₄	—	20	16	no	—
1220	C₂×D₄	—	20	16	no	—
1221	C₂×D₄	—	20	8	no	—
1222	C₂×D₄	—	20	16	no	—
1223	C₂×D₄	—	20	16	no	—
1224	C₂×D₄	—	20	8	no	—
1225	C₂×D₄	—	20	4	no	—
1226	C₂×D₄	—	20	8	no	—
1227	C₂×D₄	—	20	8	no	—
1228	C₂×D₄	—	20	8	no	—
1229	C₂×D₄	—	20	16	no	—
1230	C₂×D₄	—	20	8	no	—
1231	C₂×D₄	—	20	16	no	—
1232	C₂×D₄	C₂³×D₅	1	4	yes	—
1233	C₂×D₄	C₂³×D₅	1	4	yes	—
1234	C₂×D₄	C₂³×D₅	1	4	yes	—
1235	C₂×D₄	C₂³×D₅	1	8	yes	—
1236	C₂×D₄	C₂³×D₅	1	4	yes	—
1237	C₂×D₄	C₂³×D₅	1	4	yes	—
1238	C₂×D₄	C₂³×D₅	1	4	yes	—
1239	C₂×D₄	C₂³×D₅	1	8	yes	—
1240	C₂×D₄	C₂³×D₅	1	2	yes	complemented
1241	C₂×D₄	C₂³×D₅	1	4	yes	complemented
1242	C₂×D₄	C₂³×D₅	1	8	yes	complemented
1243	C₂²×C₄	—	4	2	no	—
1244	C₂²×C₄	—	5	2	no	—
1245	C₂²×C₄	—	5	4	no	—
1246	C₂²×C₄	—	5	4	no	—
1247	C₂²×C₄	—	5	4	no	—
1248	C₂²×C₄	—	5	4	no	—
1249	C₂²×C₄	—	5	8	no	—
1250	C₂²×C₄	—	5	4	no	—
1251	C₂²×C₄	—	5	2	no	—
1252	C₂²×C₄	—	5	8	no	—
1253	C₂²×C₄	—	5	8	no	—
1254	C₂²×C₄	—	5	8	no	—
1255	C₂²×C₄	—	5	4	no	—
1256	C₂²×C₄	—	5	8	no	—
1257	C₂²×C₄	—	20	4	no	—
1258	C₂²×C₄	—	20	8	no	—
1259	C₂²×C₄	—	20	4	no	—
1260	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1261	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1262	C₂²×C₄	C₂³×D₅	1	2	yes	—
1263	C₂²×C₄	C₂³×D₅	1	4	yes	—
1264	C₂²×C₄	C₂³×D₅	1	4	yes	—
1265	C₂²×C₄	C₂³×D₅	1	4	yes	complemented
1266	C₂²×C₄	C₂³×D₅	1	2	yes	complemented
1267	C₂²×C₄	C₂³×D₅	1	4	yes	complemented
1268	C₄⋊C₄	—	5	8	no	—
1269	C₄⋊C₄	—	5	8	no	—
1270	C₄⋊C₄	—	5	8	no	—
1271	C₄⋊C₄	—	5	8	no	—
1272	C₄⋊C₄	—	5	8	no	—
1273	C₄⋊C₄	—	5	4	no	—
1274	C₄⋊C₄	—	5	8	no	—
1275	C₄⋊C₄	—	5	8	no	—
1276	C₄⋊C₄	C₂³×D₅	1	8	yes	complemented
1277	C₄⋊C₄	C₂³×D₅	1	4	yes	complemented
1278	C₂²⋊C₄	—	5	4	no	—
1279	C₂²⋊C₄	—	5	4	no	—
1280	C₂²⋊C₄	—	5	4	no	—
1281	C₂²⋊C₄	—	5	4	no	—
1282	C₂²⋊C₄	—	5	8	no	—
1283	C₂²⋊C₄	—	5	4	no	—
1284	C₂²⋊C₄	—	5	4	no	—
1285	C₂²⋊C₄	—	5	8	no	—
1286	C₂²⋊C₄	—	5	8	no	—
1287	C₂²⋊C₄	—	5	8	no	—
1288	C₂²⋊C₄	—	5	8	no	—
1289	C₂²⋊C₄	—	5	4	no	—
1290	C₂²⋊C₄	—	5	8	no	—
1291	C₂²⋊C₄	—	5	8	no	—
1292	C₂²⋊C₄	—	5	8	no	—
1293	C₂²⋊C₄	—	5	8	no	—
1294	C₂²⋊C₄	—	5	8	no	—
1295	C₂²⋊C₄	—	5	8	no	—
1296	C₂²⋊C₄	—	5	8	no	—
1297	C₂²⋊C₄	—	5	8	no	—
1298	C₂²⋊C₄	—	5	8	no	—
1299	C₂²⋊C₄	—	5	8	no	—
1300	C₂²⋊C₄	—	5	8	no	—
1301	C₂²⋊C₄	—	5	8	no	—
1302	C₂²⋊C₄	—	5	8	no	—
1303	C₂²⋊C₄	C₂³×D₅	1	4	yes	—
1304	C₂²⋊C₄	C₂³×D₅	1	4	yes	—
1305	C₂²⋊C₄	C₂³×D₅	1	8	yes	—
1306	C₂²⋊C₄	C₂³×D₅	1	8	yes	—
1307	C₂²⋊C₄	C₂³×D₅	1	8	yes	complemented
1308	C₂²⋊C₄	C₂³×D₅	1	8	yes	complemented
1309	C₂²⋊C₄	C₂³×D₅	1	4	yes	complemented
1310	C₄²	—	5	4	no	—
1311	C₄²	—	5	8	no	—
1312	C₄²	—	5	8	no	—
1313	C₄²	C₂³×D₅	1	4	yes	complemented
1314	C₂×C₅	—	2	4	no	—
1315	C₂×C₅	—	2	2	no	—
1316	C₂×C₅	—	2	4	no	—
1317	C₂×C₅	—	4	2	no	—
1318	C₂×C₅	—	4	4	no	—
1319	C₂×C₅	—	4	2	no	—
1320	C₂×C₅	—	4	2	no	—
1321	C₂×C₅	C₂²×H(5,𝔽₂)	1	1	yes	characteristic
1322	C₂×C₅	C₂²×H(5,𝔽₂)	1	2	yes	—
1323	D₅	—	2	8	no	—
1324	D₅	—	4	4	no	—
1325	D₅	—	4	4	no	—
1326	C₂³	—	2	2	no	—
1327	C₂³	—	2	4	no	—
1328	C₂³	—	2	8	no	—
1329	C₂³	—	2	2	no	—
1330	C₂³	—	2	8	no	—
1331	C₂³	—	2	2	no	—
1332	C₂³	—	2	4	no	—
1333	C₂³	—	2	2	no	—
1334	C₂³	—	2	8	no	—
1335	C₂³	—	4	2	no	—
1336	C₂³	—	4	4	no	—
1337	C₂³	—	4	2	no	—
1338	C₂³	—	4	4	no	—
1339	C₂³	—	4	4	no	—
1340	C₂³	—	4	2	no	—
1341	C₂³	—	4	4	no	—
1342	C₂³	—	4	2	no	—
1343	C₂³	—	4	2	no	—
1344	C₂³	—	4	4	no	—
1345	C₂³	—	4	16	no	—
1346	C₂³	—	5	4	no	—
1347	C₂³	—	5	8	no	—
1348	C₂³	—	5	4	no	—
1349	C₂³	—	5	4	no	—
1350	C₂³	—	8	8	no	—
1351	C₂³	—	10	8	no	—
1352	C₂³	—	10	8	no	—
1353	C₂³	—	10	8	no	—
1354	C₂³	—	10	8	no	—
1355	C₂³	—	10	8	no	—
1356	C₂³	—	10	8	no	—
1357	C₂³	—	10	16	no	—
1358	C₂³	—	10	4	no	—
1359	C₂³	—	10	8	no	—
1360	C₂³	—	10	8	no	—
1361	C₂³	—	10	4	no	—
1362	C₂³	—	10	8	no	—
1363	C₂³	—	10	4	no	—
1364	C₂³	—	10	4	no	—
1365	C₂³	—	20	2	no	—
1366	C₂³	—	20	4	no	—
1367	C₂³	—	20	2	no	—
1368	C₂³	—	20	4	no	—
1369	C₂³	—	20	4	no	—
1370	C₂³	—	20	2	no	—
1371	C₂³	—	20	4	no	—
1372	C₂³	—	20	2	no	—
1373	C₂³	—	20	2	no	—
1374	C₂³	—	20	4	no	—
1375	C₂³	—	20	2	no	—
1376	C₂³	—	20	4	no	—
1377	C₂³	—	20	4	no	—
1378	C₂³	—	20	4	no	—
1379	C₂³	—	20	8	no	—
1380	C₂³	—	20	8	no	—
1381	C₂³	—	20	2	no	—
1382	C₂³	—	20	4	no	—
1383	C₂³	—	20	32	no	—
1384	C₂³	—	20	32	no	—
1385	C₂³	—	20	64	no	—
1386	C₂³	—	20	64	no	—
1387	C₂³	—	20	32	no	—
1388	C₂³	—	40	16	no	—
1389	C₂³	#4144	1	4	yes	complemented
1390	C₂³	C₂⁴×D₅	1	2	yes	—
1391	C₂³	C₂⁴×D₅	1	4	yes	—
1392	C₂³	C₂⁴×D₅	1	2	yes	—
1393	C₂³	C₂⁴×D₅	1	2	yes	—
1394	C₂³	C₂⁴×D₅	1	2	yes	—
1395	C₂³	C₂⁴×D₅	1	1	yes	characteristic
1396	C₂³	C₂⁴×D₅	1	2	yes	—
1397	Q₈	—	4	2	no	—
1398	Q₈	—	20	2	no	—
1399	Q₈	—	20	8	no	—
1400	D₄	—	2	8	no	—
1401	D₄	—	2	8	no	—
1402	D₄	—	2	8	no	—
1403	D₄	—	2	8	no	—
1404	D₄	—	2	16	no	—
1405	D₄	—	4	4	no	—
1406	D₄	—	4	4	no	—
1407	D₄	—	4	2	no	—
1408	D₄	—	4	4	no	—
1409	D₄	—	4	8	no	—
1410	D₄	—	4	8	no	—
1411	D₄	—	10	16	no	—
1412	D₄	—	10	16	no	—
1413	D₄	—	10	16	no	—
1414	D₄	—	10	16	no	—
1415	D₄	—	10	8	no	—
1416	D₄	—	10	8	no	—
1417	D₄	—	10	16	no	—
1418	D₄	—	20	8	no	—
1419	D₄	—	20	8	no	—
1420	D₄	—	20	2	no	—
1421	D₄	—	20	8	no	—
1422	D₄	—	20	8	no	—
1423	D₄	—	20	8	no	—
1424	D₄	—	20	8	no	—
1425	D₄	—	20	8	no	—
1426	D₄	—	20	4	no	—
1427	D₄	—	20	8	no	—
1428	D₄	—	20	8	no	—
1429	C₂×C₄	—	2	2	no	—
1430	C₂×C₄	—	2	2	no	—
1431	C₂×C₄	—	2	4	no	—
1432	C₂×C₄	—	4	4	no	—
1433	C₂×C₄	—	4	4	no	—
1434	C₂×C₄	—	4	4	no	—
1435	C₂×C₄	—	4	2	no	—
1436	C₂×C₄	—	4	4	no	—
1437	C₂×C₄	—	5	4	no	—
1438	C₂×C₄	—	5	8	no	—
1439	C₂×C₄	—	5	8	no	—
1440	C₂×C₄	—	10	16	no	—
1441	C₂×C₄	—	10	4	no	—
1442	C₂×C₄	—	10	8	no	—
1443	C₂×C₄	—	20	8	no	—
1444	C₂×C₄	—	20	8	no	—
1445	C₂×C₄	—	20	4	no	—
1446	C₂×C₄	—	20	8	no	—
1447	C₂×C₄	—	20	4	no	—
1448	C₂×C₄	—	20	4	no	—
1449	C₂×C₄	—	20	4	no	—
1450	C₂×C₄	—	20	2	no	—
1451	C₂×C₄	—	20	8	no	—
1452	C₂×C₄	—	20	4	no	—
1453	C₂×C₄	C₂⁴×D₅	1	2	yes	—
1454	C₂×C₄	C₂⁴×D₅	1	4	yes	—
1455	C₂×C₄	C₂⁴×D₅	1	8	yes	—
1456	C₂×C₄	C₂⁴×D₅	1	2	yes	—
1457	C₅	#62817	1	1	yes	characteristic, complemented, Sylow
1458	C₂²	—	2	8	no	—
1459	C₂²	—	2	2	no	—
1460	C₂²	—	2	4	no	—
1461	C₂²	—	2	2	no	—
1462	C₂²	—	2	2	no	—
1463	C₂²	—	2	2	no	—
1464	C₂²	—	2	4	no	—
1465	C₂²	—	2	2	no	—
1466	C₂²	—	2	2	no	—
1467	C₂²	—	2	4	no	—
1468	C₂²	—	2	8	no	—
1469	C₂²	—	2	4	no	—
1470	C₂²	—	2	4	no	—
1471	C₂²	—	4	4	no	—
1472	C₂²	—	4	16	no	—
1473	C₂²	—	4	4	no	—
1474	C₂²	—	5	8	no	—
1475	C₂²	—	8	2	no	—
1476	C₂²	—	8	2	no	—
1477	C₂²	—	8	8	no	—
1478	C₂²	—	8	4	no	—
1479	C₂²	—	10	16	no	—
1480	C₂²	—	10	4	no	—
1481	C₂²	—	10	4	no	—
1482	C₂²	—	10	4	no	—
1483	C₂²	—	10	4	no	—
1484	C₂²	—	10	8	no	—
1485	C₂²	—	10	4	no	—
1486	C₂²	—	10	4	no	—
1487	C₂²	—	16	2	no	—
1488	C₂²	—	20	8	no	—
1489	C₂²	—	20	16	no	—
1490	C₂²	—	20	16	no	—
1491	C₂²	—	20	16	no	—
1492	C₂²	—	20	8	no	—
1493	C₂²	—	20	8	no	—
1494	C₂²	—	20	8	no	—
1495	C₂²	—	20	16	no	—
1496	C₂²	—	20	8	no	—
1497	C₂²	—	40	4	no	—
1498	C₂²	—	40	16	no	—
1499	C₂²	—	80	2	no	—
1500	C₂²	C₂×#4144	1	2	yes	—
1501	C₂²	C₂×#4144	1	4	yes	—
1502	C₂²	D₅×H(5,𝔽₂)	1	4	yes	—
1503	C₂²	C₂⁵×D₅	1	1	yes	characteristic
1504	C₄	—	2	2	no	—
1505	C₄	—	2	2	no	—
1506	C₄	—	2	4	no	—
1507	C₄	—	2	8	no	—
1508	C₄	—	10	4	no	—
1509	C₄	—	10	8	no	—
1510	C₄	—	10	8	no	—
1511	C₂	—	2	2	no	—
1512	C₂	—	2	4	no	—
1513	C₂	—	2	4	no	—
1514	C₂	—	4	2	no	—
1515	C₂	—	4	2	no	—
1516	C₂	—	4	2	no	—
1517	C₂	—	4	4	no	—
1518	C₂	—	10	8	no	—
1519	C₂	—	20	4	no	—
1520	C₂	—	20	4	no	—
1521	C₂	C₂²×#4144	1	1	yes	characteristic
1522	C₂	C₂×D₅×H(5,𝔽₂)	1	2	yes	—

	subgroup	G/H
center, Frattini	C₂²	C₂⁵×D₅
commutator, socle, cosocle	C₂²×C₅	C₂⁶
Fitting	C₅×#3484	C₂
hypercenter	#3484	D₅
hypocenter	C₅	#62817
LCS	G ▷ C₂²×C₅ ▷ C₅
UCS	C₁ ◁ C₂² ◁ #3484

Complements

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

N	H ≅ G/N	type
1. C₅×#3484	C₂	semidirect
2. #10619185	C₂	semidirect
3. #10619140	C₂	semidirect
4. C₂²×#4083	C₂	semidirect
5. #10618568	C₂	semidirect
6. #10618565	C₂	semidirect
7. #10618523	C₂	semidirect
8. #10618521	C₂	semidirect
9. #10618234	C₂	semidirect
10. #10618211	C₂	semidirect
11. #10618210	C₂	semidirect
12. #10618209	C₂	semidirect
13. #10617944	C₂	semidirect
14. #10617820	C₂	semidirect
15. C₂×D₅×#120	C₂	semidirect
16. #10617814	C₂	semidirect
17. #10617769	C₂	semidirect
18. C₂⁵×D₅	C₂²	semidirect
19. C₂×C₅×H(5,𝔽₂)	C₂²	semidirect
20. C₂³×C₅×D₄	C₂²	semidirect
21. C₂³×C₂²⋊D₅	C₂²	semidirect
22. C₂×#4144	C₂²	semidirect
23. C₂×#4144	C₂²	semidirect
24. C₂²×D₄×D₅	C₂²	semidirect
25. C₂²×D₄×D₅	C₂²	semidirect
26. C₅×#546	C₂²	semidirect
27. C₅×D₄²	C₂²	semidirect
28. C₅×#535	C₂²	semidirect
29. C₅×#534	C₂²	semidirect
30. C₅×#534	C₂²	semidirect
31. C₅×#525	C₂²	semidirect
32. C₂×C₅×#120	C₂²	semidirect
33. C₂×C₅×#120	C₂²	semidirect
34. C₅×#518	C₂²	semidirect
35. C₂×#4099	C₂²	semidirect
36. C₂×#4099	C₂²	semidirect
37. C₂²×C₂²⋊Dic₅	C₂²	semidirect
38. #66164	C₂²	semidirect
39. #66163	C₂²	semidirect
40. #66163	C₂²	semidirect
41. #66162	C₂²	semidirect
42. #66140	C₂²	semidirect
43. #66140	C₂²	semidirect
44. #66139	C₂²	semidirect
45. #66138	C₂²	semidirect
46. #66138	C₂²	semidirect
47. #66138	C₂²	semidirect
48. #66138	C₂²	semidirect
49. #66138	C₂²	semidirect
50. D₄×C₂²⋊D₅	C₂²	semidirect
51. D₄×C₂²⋊D₅	C₂²	semidirect
52. D₄×C₂²⋊D₅	C₂²	semidirect
53. D₄×C₂²⋊D₅	C₂²	semidirect
54. C₂×#4083	C₂²	semidirect
55. C₂×#4083	C₂²	semidirect
56. C₂×#4083	C₂²	semidirect
57. C₂×#4083	C₂²	semidirect
58. C₂×#4083	C₂²	semidirect
59. C₂×#4083	C₂²	semidirect
60. C₂×#4083	C₂²	semidirect
61. C₂×#4083	C₂²	semidirect
62. C₂×#4083	C₂²	semidirect
63. #66132	C₂²	semidirect
64. #66132	C₂²	semidirect
65. #66125	C₂²	semidirect
66. C₂²×#685	C₂²	semidirect
67. #66054	C₂²	semidirect
68. #66051	C₂²	semidirect
69. #66049	C₂²	semidirect
70. #66017	C₂²	semidirect
71. #66013	C₂²	semidirect
72. #66012	C₂²	semidirect
73. #66000	C₂²	semidirect
74. #65993	C₂²	semidirect
75. #65992	C₂²	semidirect
76. #65992	C₂²	semidirect
77. #65991	C₂²	semidirect
78. #65990	C₂²	semidirect
79. #65988	C₂²	semidirect
80. #65987	C₂²	semidirect
81. #65978	C₂²	semidirect
82. #65971	C₂²	semidirect
83. #65968	C₂²	semidirect
84. #65954	C₂²	semidirect
85. #65954	C₂²	semidirect
86. #65951	C₂²	semidirect
87. #65951	C₂²	semidirect
88. #65947	C₂²	semidirect
89. #65947	C₂²	semidirect
90. #65946	C₂²	semidirect
91. #65944	C₂²	semidirect
92. #65944	C₂²	semidirect
93. #65944	C₂²	semidirect
94. #65943	C₂²	semidirect
95. #65941	C₂²	semidirect
96. #65940	C₂²	semidirect
97. #65939	C₂²	semidirect
98. #65939	C₂²	semidirect
99. #65928	C₂²	semidirect
100. #65927	C₂²	semidirect
101. #65926	C₂²	semidirect
102. #65926	C₂²	semidirect
103. #65925	C₂²	semidirect
104. #65925	C₂²	semidirect
105. #65925	C₂²	semidirect
106. #65925	C₂²	semidirect
107. #65924	C₂²	semidirect
108. #65924	C₂²	semidirect
109. #65924	C₂²	semidirect
110. #65923	C₂²	semidirect
111. #65923	C₂²	semidirect
112. D₅×#120	C₂²	semidirect
113. D₅×#120	C₂²	semidirect
114. D₅×#120	C₂²	semidirect
115. D₅×#120	C₂²	semidirect
116. D₅×#120	C₂²	semidirect
117. #65921	C₂²	semidirect
118. #65920	C₂²	semidirect
119. #65894	C₂²	semidirect
120. #65894	C₂²	semidirect
121. #65890	C₂²	semidirect
122. #65890	C₂²	semidirect
123. #65888	C₂²	semidirect
124. #65884	C₂²	semidirect
125. #65881	C₂²	semidirect
126. #65879	C₂²	semidirect
127. #65861	C₂²	semidirect
128. #65829	C₂²	semidirect
129. #65827	C₂²	semidirect
130. #65824	C₂²	semidirect
131. #65824	C₂²	semidirect
132. C₂×#4028	C₂²	semidirect
133. C₂×#4028	C₂²	semidirect
134. #65820	C₂²	semidirect
135. #65820	C₂²	semidirect
136. C₂×D₅×C₂²⋊C₄	C₂²	semidirect
137. C₂×D₅×C₂²⋊C₄	C₂²	semidirect
138. #65817	C₂²	semidirect
141. C₂⁵×C₅	C₂³	semidirect
149. C₂⁴×D₅	C₂³	semidirect
151. C₂×C₅×#41	C₂³	semidirect
152. C₂×C₅×#41	C₂³	semidirect
157. C₂²×C₅×D₄	C₂³	semidirect
158. C₂²×C₅×D₄	C₂³	semidirect
159. C₂²×C₅×D₄	C₂³	semidirect
160. C₂²×C₅×D₄	C₂³	semidirect
161. C₂²×C₅×D₄	C₂³	semidirect
162. C₂²×C₅×D₄	C₂³	semidirect
163. C₂²×C₅×D₄	C₂³	semidirect
164. C₂³×C₄×C₅	C₂³	semidirect
168. C₂²×C₂²⋊D₅	C₂³	semidirect
169. C₂²×C₂²⋊D₅	C₂³	semidirect
170. C₂²×C₂²⋊D₅	C₂³	semidirect
171. C₂²×C₂²⋊D₅	C₂³	semidirect
172. C₂²×C₂²⋊D₅	C₂³	semidirect
173. C₂²×C₂²⋊D₅	C₂³	semidirect
174. C₂²×C₂²⋊D₅	C₂³	semidirect
175. C₂²×C₂²⋊D₅	C₂³	semidirect
176. C₂²×C₂²⋊D₅	C₂³	semidirect
177. C₂²×C₂²⋊D₅	C₂³	semidirect
178. C₂³×Dic₅	C₂³	semidirect
181. C₂×#711	C₂³	semidirect
182. C₂×#711	C₂³	semidirect
183. C₂×#711	C₂³	semidirect
187. C₂×D₄×D₅	C₂³	semidirect
188. C₂×D₄×D₅	C₂³	semidirect
189. C₂×D₄×D₅	C₂³	semidirect
190. C₂×D₄×D₅	C₂³	semidirect
191. C₂×D₄×D₅	C₂³	semidirect
192. C₂×D₄×D₅	C₂³	semidirect
193. C₂×D₄×D₅	C₂³	semidirect
194. C₂×#709	C₂³	semidirect
195. C₂×#709	C₂³	semidirect
196. C₂²×D₂₀	C₂³	semidirect
197. C₂²×D₂₀	C₂³	semidirect
198. C₂²×C₄×D₅	C₂³	semidirect
199. C₂²×C₄×D₅	C₂³	semidirect
200. C₅×#127	C₂³	semidirect
201. C₅×#124	C₂³	semidirect
202. C₅×#123	C₂³	semidirect
203. C₅×#123	C₂³	semidirect
204. C₅×#123	C₂³	semidirect
205. C₅×C₂²⋊Q₈	C₂³	semidirect
206. C₅×#121	C₂³	semidirect
207. C₅×#121	C₂³	semidirect
208. C₅×#121	C₂³	semidirect
209. C₅×#121	C₂³	semidirect
211. C₅×#120	C₂³	semidirect
212. C₅×#120	C₂³	semidirect
213. C₅×#120	C₂³	semidirect
214. C₅×#120	C₂³	semidirect
215. C₅×#120	C₂³	semidirect
216. C₅×#120	C₂³	semidirect
217. C₄×C₅×D₄	C₂³	semidirect
218. C₄×C₅×D₄	C₂³	semidirect
219. C₅×#117	C₂³	semidirect
221. C₂×C₅×C₂²⋊C₄	C₂³	semidirect
222. C₂×C₅×C₂²⋊C₄	C₂³	semidirect
223. C₂×C₅×C₂²⋊C₄	C₂³	semidirect
225. #4099	C₂³	semidirect
226. #4099	C₂³	semidirect
227. #4099	C₂³	semidirect
228. #4099	C₂³	semidirect
229. #4099	C₂³	semidirect
230. #4099	C₂³	semidirect
233. C₂×C₂²⋊Dic₅	C₂³	semidirect
234. C₂×C₂²⋊Dic₅	C₂³	semidirect
235. C₂×C₂²⋊Dic₅	C₂³	semidirect
236. C₂×C₂²⋊Dic₅	C₂³	semidirect
237. C₂×C₂²⋊Dic₅	C₂³	semidirect
238. C₂×C₂²⋊Dic₅	C₂³	semidirect
239. #4093	C₂³	semidirect
240. #4092	C₂³	semidirect
241. #4086	C₂³	semidirect
242. #4086	C₂³	semidirect
243. #4086	C₂³	semidirect
244. #4085	C₂³	semidirect
245. #4085	C₂³	semidirect
246. #4085	C₂³	semidirect
247. #4085	C₂³	semidirect
248. #4085	C₂³	semidirect
249. #4085	C₂³	semidirect
250. #4085	C₂³	semidirect
251. #4085	C₂³	semidirect
252. #4085	C₂³	semidirect
253. #4085	C₂³	semidirect
254. #4084	C₂³	semidirect
255. #4084	C₂³	semidirect
256. #4084	C₂³	semidirect
257. #4084	C₂³	semidirect
264. #4083	C₂³	semidirect
265. #4083	C₂³	semidirect
266. #4083	C₂³	semidirect
267. #4083	C₂³	semidirect
268. #4083	C₂³	semidirect
269. #4083	C₂³	semidirect
270. #4083	C₂³	semidirect
271. #4083	C₂³	semidirect
272. #4083	C₂³	semidirect
273. #4083	C₂³	semidirect
274. #4083	C₂³	semidirect
275. #4083	C₂³	semidirect
276. #4083	C₂³	semidirect
277. #4083	C₂³	semidirect
278. #4083	C₂³	semidirect
279. #4083	C₂³	semidirect
280. #4083	C₂³	semidirect
281. #4083	C₂³	semidirect
282. #4083	C₂³	semidirect
283. #4082	C₂³	semidirect
284. #4082	C₂³	semidirect
285. #4081	C₂³	semidirect
286. #4081	C₂³	semidirect
287. #4081	C₂³	semidirect
288. #4081	C₂³	semidirect
289. #4081	C₂³	semidirect
290. D₄×Dic₅	C₂³	semidirect
291. D₄×Dic₅	C₂³	semidirect
292. D₄×Dic₅	C₂³	semidirect
293. D₄×Dic₅	C₂³	semidirect
294. #4076	C₂³	semidirect
295. #4076	C₂³	semidirect
296. #4076	C₂³	semidirect
297. #4076	C₂³	semidirect
298. #4075	C₂³	semidirect
299. #4075	C₂³	semidirect
300. #4075	C₂³	semidirect
301. #4075	C₂³	semidirect
302. C₄×C₂²⋊D₅	C₂³	semidirect
303. C₄×C₂²⋊D₅	C₂³	semidirect
304. C₄×C₂²⋊D₅	C₂³	semidirect
305. C₄×C₂²⋊D₅	C₂³	semidirect
306. C₄×C₂²⋊D₅	C₂³	semidirect
308. C₂×#685	C₂³	semidirect
309. C₂×#685	C₂³	semidirect
310. C₂×#685	C₂³	semidirect
311. C₂×#685	C₂³	semidirect
312. C₂×#685	C₂³	semidirect
313. C₂×#685	C₂³	semidirect
314. C₂×#685	C₂³	semidirect
315. C₂×#685	C₂³	semidirect
316. #4072	C₂³	semidirect
317. #4072	C₂³	semidirect
318. #4070	C₂³	semidirect
319. #4070	C₂³	semidirect
320. #4044	C₂³	semidirect
321. #4044	C₂³	semidirect
322. #4044	C₂³	semidirect
323. #4043	C₂³	semidirect
324. #4042	C₂³	semidirect
325. #4042	C₂³	semidirect
326. #4041	C₂³	semidirect
327. #4040	C₂³	semidirect
328. #4040	C₂³	semidirect
329. #4040	C₂³	semidirect
330. #4039	C₂³	semidirect
331. #4038	C₂³	semidirect
332. #4032	C₂³	semidirect
333. #4032	C₂³	semidirect
334. #4032	C₂³	semidirect
335. #4031	C₂³	semidirect
336. #4031	C₂³	semidirect
337. #4031	C₂³	semidirect
338. #4031	C₂³	semidirect
339. #4031	C₂³	semidirect
340. #4030	C₂³	semidirect
341. #4030	C₂³	semidirect
342. #4030	C₂³	semidirect
343. #4030	C₂³	semidirect
344. #4030	C₂³	semidirect
345. #4029	C₂³	semidirect
346. #4029	C₂³	semidirect
347. #4029	C₂³	semidirect
348. #4029	C₂³	semidirect
351. #4028	C₂³	semidirect
352. #4028	C₂³	semidirect
353. #4028	C₂³	semidirect
354. #4028	C₂³	semidirect
355. #4028	C₂³	semidirect
356. #4028	C₂³	semidirect
357. #4028	C₂³	semidirect
358. #4027	C₂³	semidirect
359. #4027	C₂³	semidirect
360. #4027	C₂³	semidirect
361. #4027	C₂³	semidirect
362. #4027	C₂³	semidirect
364. D₅×C₂²⋊C₄	C₂³	semidirect
365. D₅×C₂²⋊C₄	C₂³	semidirect
366. D₅×C₂²⋊C₄	C₂³	semidirect
367. D₅×C₂²⋊C₄	C₂³	semidirect
368. D₅×C₂²⋊C₄	C₂³	semidirect
369. D₅×C₂²⋊C₄	C₂³	semidirect
370. D₅×C₂²⋊C₄	C₂³	semidirect
371. #4025	C₂³	semidirect
372. #4025	C₂³	semidirect
373. #4024	C₂³	semidirect
374. #4024	C₂³	semidirect
375. #4024	C₂³	semidirect
376. #4023	C₂³	semidirect
377. #4023	C₂³	semidirect
378. #4022	C₂³	semidirect
379. #4021	C₂³	semidirect
380. C₄×D₂₀	C₂³	semidirect
381. #4018	C₂³	semidirect
396. #3484	D₅	semidirect
411. C₂⁴×C₅	C₂⁴	semidirect
440. C₂³×D₅	C₂⁴	semidirect
443. C₂×C₅×Q₈	C₂⁴	semidirect
462. C₂×C₅×D₄	C₂⁴	semidirect
463. C₂×C₅×D₄	C₂⁴	semidirect
464. C₂×C₅×D₄	C₂⁴	semidirect
471. C₂²×C₄×C₅	C₂⁴	semidirect
472. C₂²×C₄×C₅	C₂⁴	semidirect
473. C₂²×C₄×C₅	C₂⁴	semidirect
497. C₂×C₂²⋊D₅	C₂⁴	semidirect
498. C₂×C₂²⋊D₅	C₂⁴	semidirect
499. C₂×C₂²⋊D₅	C₂⁴	semidirect
506. C₂²×Dic₅	C₂⁴	semidirect
507. C₂²×Dic₅	C₂⁴	semidirect
508. C₂²×Dic₅	C₂⁴	semidirect
527. C₂×D₂₀	C₂⁴	semidirect
533. C₂×C₄×D₅	C₂⁴	semidirect
534. C₂×C₄×D₅	C₂⁴	semidirect
535. C₂×Dic₁₀	C₂⁴	semidirect
536. C₂×Dic₁₀	C₂⁴	semidirect
537. C₅×C₄⋊C₄	C₂⁴	semidirect
538. C₅×C₄⋊C₄	C₂⁴	semidirect
543. C₅×C₂²⋊C₄	C₂⁴	semidirect
544. C₅×C₂²⋊C₄	C₂⁴	semidirect
545. C₅×C₂²⋊C₄	C₂⁴	semidirect
546. C₄²×C₅	C₂⁴	semidirect
555. C₂²⋊Dic₅	C₂⁴	semidirect
556. C₂²⋊Dic₅	C₂⁴	semidirect
557. C₂²⋊Dic₅	C₂⁴	semidirect
558. C₂²⋊Dic₅	C₂⁴	semidirect
569. #685	C₂⁴	semidirect
570. #685	C₂⁴	semidirect
571. #685	C₂⁴	semidirect
572. C₄⋊Dic₅	C₂⁴	semidirect
573. C₄⋊Dic₅	C₂⁴	semidirect
574. C₄⋊Dic₅	C₂⁴	semidirect
575. #683	C₂⁴	semidirect
576. #683	C₂⁴	semidirect
577. #683	C₂⁴	semidirect
578. #683	C₂⁴	semidirect
579. #683	C₂⁴	semidirect
580. C₄×Dic₅	C₂⁴	semidirect
581. C₄×Dic₅	C₂⁴	semidirect
582. C₄×Dic₅	C₂⁴	semidirect
586. C₂×H(5,𝔽₂)	C₂×D₅	semidirect
590. C₂³×D₄	C₂×D₅	semidirect
624. #546	C₂×D₅	semidirect
634. D₄²	C₂×D₅	semidirect
653. #535	C₂×D₅	semidirect
665. #534	C₂×D₅	semidirect
666. #534	C₂×D₅	semidirect
673. #525	C₂×D₅	semidirect
692. C₂×#120	C₂×D₅	semidirect
693. C₂×#120	C₂×D₅	semidirect
699. #518	C₂×D₅	semidirect
725. C₂³×C₅	H(5,𝔽₂)	semidirect
771. C₂²×D₅	H(5,𝔽₂)	semidirect
844. C₂⁵	C₂²×D₅	semidirect
853. C₂×#41	C₂²×D₅	semidirect
854. C₂×#41	C₂²×D₅	semidirect
884. C₂²×D₄	C₂²×D₅	semidirect
885. C₂²×D₄	C₂²×D₅	semidirect
886. C₂²×D₄	C₂²×D₅	semidirect
887. C₂²×D₄	C₂²×D₅	semidirect
888. C₂²×D₄	C₂²×D₅	semidirect
889. C₂²×D₄	C₂²×D₅	semidirect
890. C₂²×D₄	C₂²×D₅	semidirect
894. C₂³×C₄	C₂²×D₅	semidirect
898. #127	C₂²×D₅	semidirect
914. #124	C₂²×D₅	semidirect
934. #123	C₂²×D₅	semidirect
935. #123	C₂²×D₅	semidirect
936. #123	C₂²×D₅	semidirect
946. C₂²⋊Q₈	C₂²×D₅	semidirect
971. #121	C₂²×D₅	semidirect
972. #121	C₂²×D₅	semidirect
973. #121	C₂²×D₅	semidirect
974. #121	C₂²×D₅	semidirect
1017. #120	C₂²×D₅	semidirect
1018. #120	C₂²×D₅	semidirect
1019. #120	C₂²×D₅	semidirect
1020. #120	C₂²×D₅	semidirect
1021. #120	C₂²×D₅	semidirect
1022. #120	C₂²×D₅	semidirect
1039. C₄×D₄	C₂²×D₅	semidirect
1040. C₄×D₄	C₂²×D₅	semidirect
1047. #117	C₂²×D₅	semidirect
1074. C₂×C₂²⋊C₄	C₂²×D₅	semidirect
1075. C₂×C₂²⋊C₄	C₂²×D₅	semidirect
1076. C₂×C₂²⋊C₄	C₂²×D₅	semidirect
1171. C₂⁴	C₂³×D₅	semidirect
1181. C₂×Q₈	C₂³×D₅	semidirect
1240. C₂×D₄	C₂³×D₅	semidirect
1241. C₂×D₄	C₂³×D₅	semidirect
1242. C₂×D₄	C₂³×D₅	semidirect
1265. C₂²×C₄	C₂³×D₅	semidirect
1266. C₂²×C₄	C₂³×D₅	semidirect
1267. C₂²×C₄	C₂³×D₅	semidirect
1276. C₄⋊C₄	C₂³×D₅	semidirect
1277. C₄⋊C₄	C₂³×D₅	semidirect
1307. C₂²⋊C₄	C₂³×D₅	semidirect
1308. C₂²⋊C₄	C₂³×D₅	semidirect
1309. C₂²⋊C₄	C₂³×D₅	semidirect
1313. C₄²	C₂³×D₅	semidirect
1389. C₂³	#4144	semidirect
1457. C₅	#62817	semidirect

Maximal subgroups

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

subgroup	index
C₅×#3484	2
#10619185	2
#10619140	2
C₂²×#4083	2
#10618568	2
#10618565	2
#10618523	2
#10618521	2
#10618234	2
#10618211	2
#10618210	2
#10618209	2
#10617944	2
#10617820	2
C₂×D₅×#120	2
#10617814	2
#10617769	2
#62817	5