Subgroups — #12964426

Order 1280.

1872 conjugacy classes of subgroups.

The subgroup lattice has 1446 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×#65872	C₂	1	1	yes	maximal, characteristic
2	C₅×D₄×M₁₆	C₂	1	1	yes	maximal, characteristic, complemented
3	M₁₆×C₂²⋊D₅	C₂	1	1	yes	maximal, characteristic, complemented
4	M₁₆×C₂²⋊D₅	C₂	1	1	yes	maximal, characteristic, complemented
5	#10615481	C₂	1	1	yes	maximal, characteristic, complemented
6	C₂×#65407	C₂	1	1	yes	maximal, characteristic, complemented
7	D₄×#681	C₂	1	1	yes	maximal, characteristic, complemented
8	#10611259	C₂	1	2	yes	maximal, complemented
9	#10611256	C₂	1	2	yes	maximal, complemented
10	#10611198	C₂	1	2	yes	maximal, complemented
11	#10611197	C₂	1	2	yes	maximal, complemented
12	#10611196	C₂	1	2	yes	maximal, complemented
13	#10611194	C₂	1	2	yes	maximal, complemented
14	#10611140	C₂	1	2	yes	maximal, complemented
15	#10611138	C₂	1	2	yes	maximal, complemented
16	#10610779	C₂	1	1	yes	maximal, characteristic, complemented
17	#10610777	C₂	1	1	yes	maximal, characteristic, complemented
18	#10610359	C₂	1	1	yes	maximal, characteristic, complemented
19	#10610359	C₂	1	1	yes	maximal, characteristic, complemented
20	#10610351	C₂	1	1	yes	maximal, characteristic, complemented
21	#10610350	C₂	1	1	yes	maximal, characteristic, complemented
22	#10610249	C₂	1	1	yes	maximal, characteristic, complemented
23	M₁₆×Dic₁₀	C₂	1	1	yes	maximal, characteristic, complemented
24	C₂²×C₅×M₁₆	C₂²	1	1	yes	characteristic
25	C₂²×C₅×M₁₆	C₂²	1	1	yes	characteristic
26	C₂×C₄×C₅×D₄	C₂²	1	1	yes	characteristic
27	C₂×#4085	C₄	1	1	yes	characteristic
28	C₂×#4081	C₄	1	1	yes	characteristic
29	C₂×C₄×C₂²⋊D₅	C₂²	1	1	yes	characteristic
30	C₂×C₄×C₂²⋊D₅	C₂²	1	1	yes	characteristic
31	C₂×#4072	C₂²	1	1	yes	characteristic
32	C₂²×C₄×Dic₅	C₂²	1	1	yes	characteristic
33	C₂²×#681	C₂²	1	1	yes	characteristic
34	C₂²×#681	C₂²	1	1	yes	characteristic
35	C₂×D₅×M₁₆	C₂²	1	1	yes	characteristic
36	C₂×D₅×M₁₆	C₂²	1	1	yes	characteristic
37	#65872	C₄	1	1	yes	characteristic
38	#65872	C₄	1	1	yes	characteristic
39	#65872	C₄	1	1	yes	characteristic
40	#65872	C₄	1	1	yes	characteristic
41	#65872	C₄	1	1	yes	characteristic
42	#65872	C₄	1	1	yes	characteristic
43	#65872	C₄	1	1	yes	characteristic
44	#65872	C₄	1	1	yes	characteristic
45	#65872	C₂²	1	1	yes	characteristic
46	#65872	C₂²	1	1	yes	characteristic
47	#65872	C₂²	1	1	yes	characteristic
48	#65872	C₂²	1	1	yes	characteristic
49	#65872	C₂²	1	1	yes	characteristic
50	#65872	C₂²	1	1	yes	characteristic
51	#65872	C₂²	1	1	yes	characteristic
52	#65872	C₂²	1	1	yes	characteristic
53	C₂×#4044	C₄	1	1	yes	characteristic
54	C₂×#4035	C₄	1	1	yes	characteristic
55	C₂×#4032	C₄	1	1	yes	characteristic
56	C₂×#4031	C₄	1	1	yes	characteristic
57	C₂×#4025	C₄	1	1	yes	characteristic
58	C₂×#4024	C₄	1	1	yes	characteristic
59	C₂×#4018	C₂²	1	1	yes	characteristic
60	C₂×C₄×Dic₁₀	C₂²	1	1	yes	characteristic
61	C₅×#436	C₂²	1	2	yes	complemented
62	C₅×#435	C₂²	1	2	yes	complemented
63	C₅×#435	C₂²	1	2	yes	complemented
64	C₅×C₈×D₄	C₂²	1	2	yes	complemented
65	C₅×#423	C₂²	1	1	yes	characteristic
66	C₅×#407	C₂²	1	1	yes	characteristic
67	C₅×#407	C₂²	1	1	yes	characteristic
68	C₄×C₅×M₁₆	C₂²	1	1	yes	characteristic
69	#65496	C₂²	1	1	yes	characteristic
70	#65496	C₂²	1	1	yes	characteristic
71	#65417	C₂²	1	2	yes	complemented
72	#65417	C₂²	1	2	yes	complemented
73	#65416	C₂²	1	2	yes	complemented
74	#65416	C₂²	1	2	yes	complemented
75	#65415	C₂²	1	1	yes	characteristic
76	#65415	C₂²	1	1	yes	characteristic
77	#65408	C₂²	1	2	yes	complemented
78	#65408	C₂²	1	2	yes	complemented
79	#65407	C₂²	1	1	yes	characteristic
80	#65407	C₂²	1	1	yes	characteristic
81	#65407	C₂²	1	1	yes	characteristic
82	#65407	C₂²	1	1	yes	characteristic
83	#65407	C₂²	1	1	yes	characteristic
84	#65407	C₂²	1	1	yes	characteristic
85	#65407	C₂²	1	1	yes	characteristic
86	#65407	C₂²	1	1	yes	characteristic
87	#65407	C₂²	1	2	yes	complemented
88	#65407	C₂²	1	2	yes	complemented
89	M₁₆×Dic₅	C₂²	1	1	yes	characteristic
90	M₁₆×Dic₅	C₂²	1	1	yes	characteristic
91	M₁₆×Dic₅	C₂²	1	1	yes	characteristic
92	M₁₆×Dic₅	C₂²	1	1	yes	characteristic
93	#65400	C₂²	1	2	yes	complemented
94	#65400	C₂²	1	2	yes	complemented
95	C₈×C₂²⋊D₅	C₂²	1	2	yes	complemented
96	C₈×C₂²⋊D₅	C₂²	1	2	yes	complemented
97	#65391	C₂²	1	2	yes	complemented
98	#65391	C₂²	1	2	yes	complemented
99	C₂×#3946	C₂²	1	2	yes	complemented
100	C₂×#3946	C₂²	1	2	yes	complemented
101	#65301	C₂²	1	2	yes	complemented
102	#65300	C₂²	1	2	yes	complemented
103	#65300	C₂²	1	2	yes	complemented
104	D₄×#168	C₂²	1	2	yes	complemented
105	#65213	C₂²	1	1	yes	characteristic
106	C₄×#681	C₂²	1	1	yes	characteristic
107	#65128	C₂²	1	2	yes	complemented
108	#65128	C₂²	1	2	yes	complemented
109	#65128	C₂²	1	2	yes	complemented
110	#65128	C₂²	1	2	yes	complemented
111	#65120	C₂²	1	2	yes	complemented
112	#65119	C₂²	1	2	yes	complemented
113	#65117	C₂²	1	2	yes	complemented
114	#65117	C₂²	1	2	yes	complemented
115	#65019	C₂²	1	2	yes	complemented
116	#65019	C₂²	1	2	yes	complemented
117	#65018	C₂²	1	2	yes	complemented
118	#65018	C₂²	1	2	yes	complemented
119	#65017	C₂²	1	2	yes	complemented
120	#65017	C₂²	1	2	yes	complemented
121	#65014	C₂²	1	2	yes	complemented
122	#65014	C₂²	1	2	yes	complemented
123	#65009	C₂²	1	2	yes	complemented
124	#65009	C₂²	1	2	yes	complemented
125	#65009	C₂²	1	2	yes	complemented
126	#65009	C₂²	1	2	yes	complemented
127	#65008	C₂²	1	2	yes	complemented
128	#65008	C₂²	1	2	yes	complemented
129	#65007	C₂²	1	2	yes	complemented
130	#65007	C₂²	1	2	yes	complemented
131	#64998	C₂²	1	2	yes	complemented
132	#64998	C₂²	1	2	yes	complemented
133	#64990	C₂²	1	2	yes	complemented
134	#64990	C₂²	1	2	yes	complemented
135	#64979	C₂²	1	2	yes	complemented
136	#64979	C₂²	1	2	yes	complemented
137	#64968	C₂²	1	2	yes	complemented
138	C₈×Dic₁₀	C₂²	1	2	yes	complemented
139	#60264	—	5	1	no	maximal, Sylow
140	C₂²×C₅×D₄	C₂×C₄	1	1	yes	characteristic
141	C₂³×C₄×C₅	C₂³	1	1	yes	characteristic
142	C₂³×C₄×C₅	C₂³	1	1	yes	characteristic
143	C₂²×C₂²⋊D₅	C₂×C₄	1	1	yes	characteristic
144	C₂²×C₂²⋊D₅	C₂×C₄	1	1	yes	characteristic
145	C₂³×Dic₅	C₂×C₄	1	1	yes	characteristic
146	C₂³×Dic₅	C₂×C₄	1	1	yes	characteristic
147	C₂²×C₄×D₅	C₂³	1	1	yes	characteristic
148	C₂²×Dic₁₀	C₂×C₄	1	1	yes	characteristic
149	C₂×C₅×M₁₆	—	4	2	no	—
150	C₂×C₅×M₁₆	—	4	2	no	—
151	C₂×C₅×M₁₆	C₂³	1	1	yes	characteristic
152	C₂×C₅×M₁₆	C₂³	1	1	yes	characteristic
153	C₂×C₅×M₁₆	C₂³	1	1	yes	characteristic
154	C₂×C₅×M₁₆	C₂³	1	1	yes	characteristic
155	C₂×C₅×M₁₆	C₂³	1	2	yes	—
156	C₂×C₅×M₁₆	C₂³	1	2	yes	—
157	C₂²×C₅×C₈	C₂³	1	2	yes	—
158	C₂²×C₅×C₈	C₂³	1	2	yes	—
159	C₄×C₅×D₄	C₂×C₄	1	1	yes	characteristic
160	C₄×C₅×D₄	C₂×C₄	1	1	yes	characteristic
161	C₄×C₅×D₄	C₂×C₄	1	1	yes	characteristic
162	C₄×C₅×D₄	C₂×C₄	1	1	yes	characteristic
163	C₄×C₅×D₄	C₂³	1	1	yes	characteristic
164	C₄×C₅×D₄	C₂³	1	1	yes	characteristic
165	C₄×C₅×D₄	C₂³	1	1	yes	characteristic
166	C₄×C₅×D₄	C₂³	1	1	yes	characteristic
167	C₂×C₅×C₄⋊C₄	C₂×C₄	1	1	yes	characteristic
168	C₂×C₅×C₂²⋊C₄	C₂×C₄	1	1	yes	characteristic
169	C₂×C₅×C₂²⋊C₄	C₂×C₄	1	1	yes	characteristic
170	C₂×C₄²×C₅	C₂³	1	1	yes	characteristic
171	C₂×C₂²⋊Dic₅	C₂×C₄	1	1	yes	characteristic
172	C₂×C₂²⋊Dic₅	C₂×C₄	1	1	yes	characteristic
173	C₂×C₂²⋊Dic₅	C₂×C₄	1	1	yes	characteristic
174	C₂×C₂²⋊Dic₅	C₂×C₄	1	1	yes	characteristic
175	#4085	C₂×C₄	1	1	yes	characteristic
176	#4085	C₂×C₄	1	1	yes	characteristic
177	#4085	C₂×C₄	1	1	yes	characteristic
178	#4085	C₂×C₄	1	1	yes	characteristic
179	#4085	C₂×C₄	1	1	yes	characteristic
180	#4085	C₂×C₄	1	1	yes	characteristic
181	#4085	C₂×C₄	1	1	yes	characteristic
182	#4085	C₂×C₄	1	1	yes	characteristic
183	#4081	C₂×C₄	1	1	yes	characteristic
184	#4081	C₂×C₄	1	1	yes	characteristic
185	#4081	C₂×C₄	1	1	yes	characteristic
186	#4081	C₂×C₄	1	1	yes	characteristic
187	#4081	C₂×C₄	1	1	yes	characteristic
188	#4081	C₂×C₄	1	1	yes	characteristic
189	#4081	C₂×C₄	1	1	yes	characteristic
190	#4081	C₂×C₄	1	1	yes	characteristic
191	C₄×C₂²⋊D₅	C₂×C₄	1	1	yes	characteristic
192	C₄×C₂²⋊D₅	C₂×C₄	1	1	yes	characteristic
193	C₄×C₂²⋊D₅	C₂×C₄	1	1	yes	characteristic
194	C₄×C₂²⋊D₅	C₂×C₄	1	1	yes	characteristic
195	C₄×C₂²⋊D₅	C₂×C₄	1	1	yes	characteristic
196	C₄×C₂²⋊D₅	C₂×C₄	1	1	yes	characteristic
197	C₄×C₂²⋊D₅	C₂×C₄	1	1	yes	characteristic
198	C₄×C₂²⋊D₅	C₂×C₄	1	1	yes	characteristic
199	C₄×C₂²⋊D₅	C₂³	1	1	yes	characteristic
200	C₄×C₂²⋊D₅	C₂³	1	1	yes	characteristic
201	C₄×C₂²⋊D₅	C₂³	1	1	yes	characteristic
202	C₄×C₂²⋊D₅	C₂³	1	1	yes	characteristic
203	C₄×C₂²⋊D₅	C₂³	1	1	yes	characteristic
204	C₄×C₂²⋊D₅	C₂³	1	1	yes	characteristic
205	C₄×C₂²⋊D₅	C₂³	1	1	yes	characteristic
206	C₄×C₂²⋊D₅	C₂³	1	1	yes	characteristic
207	C₂×#685	C₂×C₄	1	1	yes	characteristic
208	C₂×#685	C₂×C₄	1	1	yes	characteristic
209	C₂×#685	C₂×C₄	1	1	yes	characteristic
210	C₂×#685	C₂×C₄	1	1	yes	characteristic
211	#4072	C₂×C₄	1	1	yes	characteristic
212	#4072	C₂×C₄	1	1	yes	characteristic
213	#4072	C₂×C₄	1	1	yes	characteristic
214	#4072	C₂×C₄	1	1	yes	characteristic
215	#4072	C₂³	1	1	yes	characteristic
216	#4072	C₂³	1	1	yes	characteristic
217	#4072	C₂³	1	1	yes	characteristic
218	#4072	C₂³	1	1	yes	characteristic
219	C₂×C₄⋊Dic₅	C₂×C₄	1	1	yes	characteristic
220	C₂×C₄⋊Dic₅	C₂×C₄	1	1	yes	characteristic
221	C₂×C₄⋊Dic₅	C₂×C₄	1	1	yes	characteristic
222	C₂×#683	C₂×C₄	1	1	yes	characteristic
223	C₂×#683	C₂×C₄	1	1	yes	characteristic
224	C₂×#683	C₂×C₄	1	1	yes	characteristic
225	C₂×#683	C₂×C₄	1	1	yes	characteristic
226	C₂×#683	C₂×C₄	1	1	yes	characteristic
227	C₂×#683	C₂×C₄	1	1	yes	characteristic
228	C₂×C₄×Dic₅	C₂×C₄	1	1	yes	characteristic
229	C₂×C₄×Dic₅	C₂×C₄	1	1	yes	characteristic
230	C₂×C₄×Dic₅	C₂×C₄	1	1	yes	characteristic
231	C₂×C₄×Dic₅	C₂×C₄	1	1	yes	characteristic
232	C₂×C₄×Dic₅	C₂×C₄	1	1	yes	characteristic
233	C₂×C₄×Dic₅	C₂×C₄	1	1	yes	characteristic
234	C₂×C₄×Dic₅	C₂³	1	1	yes	characteristic
235	C₂×C₄×Dic₅	C₂³	1	1	yes	characteristic
236	C₂×C₄×Dic₅	C₂³	1	1	yes	characteristic
237	C₂×C₄×Dic₅	C₂³	1	1	yes	characteristic
238	C₂×C₄×Dic₅	C₂³	1	1	yes	characteristic
239	C₂×C₄×Dic₅	C₂³	1	1	yes	characteristic
240	C₂×C₄×Dic₅	C₂³	1	1	yes	characteristic
241	C₂×#681	—	4	2	no	—
242	C₂×#681	—	4	2	no	—
243	C₂×#681	C₂³	1	1	yes	characteristic
244	C₂×#681	C₂³	1	1	yes	characteristic
245	C₂×#681	C₂³	1	1	yes	characteristic
246	C₂×#681	C₂³	1	1	yes	characteristic
247	C₂×#681	C₂³	1	2	yes	—
248	C₂×#681	C₂³	1	2	yes	—
249	C₂²×#168	C₂³	1	2	yes	—
250	C₂²×#168	C₂³	1	2	yes	—
251	D₅×M₁₆	—	4	2	no	—
252	D₅×M₁₆	—	4	2	no	—
253	C₂×#676	C₂³	1	2	yes	—
254	C₂×#676	C₂³	1	2	yes	—
255	C₂×C₈×D₅	C₂³	1	2	yes	—
256	C₂×C₈×D₅	C₂³	1	2	yes	—
257	#4044	C₂×C₄	1	1	yes	characteristic
258	#4044	C₂×C₄	1	1	yes	characteristic
259	#4044	C₂×C₄	1	1	yes	characteristic
260	#4044	C₂×C₄	1	1	yes	characteristic
261	#4044	C₂×C₄	1	1	yes	characteristic
262	#4044	C₂×C₄	1	1	yes	characteristic
263	#4044	C₂×C₄	1	1	yes	characteristic
264	#4044	C₂×C₄	1	1	yes	characteristic
265	#4035	C₂×C₄	1	1	yes	characteristic
266	#4035	C₂×C₄	1	1	yes	characteristic
267	#4035	C₂×C₄	1	1	yes	characteristic
268	#4035	C₂×C₄	1	1	yes	characteristic
269	#4035	C₂×C₄	1	1	yes	characteristic
270	#4035	C₂×C₄	1	1	yes	characteristic
271	#4035	C₂×C₄	1	1	yes	characteristic
272	#4035	C₂×C₄	1	1	yes	characteristic
273	#4032	C₂×C₄	1	1	yes	characteristic
274	#4032	C₂×C₄	1	1	yes	characteristic
275	#4032	C₂×C₄	1	1	yes	characteristic
276	#4032	C₂×C₄	1	1	yes	characteristic
277	#4032	C₂×C₄	1	1	yes	characteristic
278	#4032	C₂×C₄	1	1	yes	characteristic
279	#4032	C₂×C₄	1	1	yes	characteristic
280	#4032	C₂×C₄	1	1	yes	characteristic
281	#4031	C₂×C₄	1	1	yes	characteristic
282	#4031	C₂×C₄	1	1	yes	characteristic
283	#4031	C₂×C₄	1	1	yes	characteristic
284	#4031	C₂×C₄	1	1	yes	characteristic
285	#4031	C₂×C₄	1	1	yes	characteristic
286	#4031	C₂×C₄	1	1	yes	characteristic
287	#4031	C₂×C₄	1	1	yes	characteristic
288	#4031	C₂×C₄	1	1	yes	characteristic
289	#4025	C₂×C₄	1	1	yes	characteristic
290	#4025	C₂×C₄	1	1	yes	characteristic
291	#4025	C₂×C₄	1	1	yes	characteristic
292	#4025	C₂×C₄	1	1	yes	characteristic
293	#4025	C₂×C₄	1	1	yes	characteristic
294	#4025	C₂×C₄	1	1	yes	characteristic
295	#4025	C₂×C₄	1	1	yes	characteristic
296	#4025	C₂×C₄	1	1	yes	characteristic
297	#4024	C₂×C₄	1	1	yes	characteristic
298	#4024	C₂×C₄	1	1	yes	characteristic
299	#4024	C₂×C₄	1	1	yes	characteristic
300	#4024	C₂×C₄	1	1	yes	characteristic
301	#4024	C₂×C₄	1	1	yes	characteristic
302	#4024	C₂×C₄	1	1	yes	characteristic
303	#4024	C₂×C₄	1	1	yes	characteristic
304	#4024	C₂×C₄	1	1	yes	characteristic
305	#4018	C₂×C₄	1	1	yes	characteristic
306	#4018	C₂×C₄	1	1	yes	characteristic
307	#4018	C₂×C₄	1	1	yes	characteristic
308	#4018	C₂×C₄	1	1	yes	characteristic
309	#4018	C₂³	1	1	yes	characteristic
310	#4018	C₂³	1	1	yes	characteristic
311	#4018	C₂³	1	1	yes	characteristic
312	#4018	C₂³	1	1	yes	characteristic
313	C₄×Dic₁₀	C₂×C₄	1	1	yes	characteristic
314	C₄×Dic₁₀	C₂×C₄	1	1	yes	characteristic
315	C₄×Dic₁₀	C₂×C₄	1	1	yes	characteristic
316	C₄×Dic₁₀	C₂×C₄	1	1	yes	characteristic
317	C₄×Dic₁₀	C₂³	1	1	yes	characteristic
318	C₄×Dic₁₀	C₂³	1	1	yes	characteristic
319	C₄×Dic₁₀	C₂³	1	1	yes	characteristic
320	C₄×Dic₁₀	C₂³	1	1	yes	characteristic
321	C₅×C₄⋊C₈	C₂³	1	2	yes	—
322	C₅×C₄⋊C₈	C₂³	1	2	yes	—
323	C₅×C₂²⋊C₈	C₂³	1	2	yes	—
324	C₅×C₂²⋊C₈	C₂³	1	2	yes	—
325	C₅×C₂²⋊C₈	C₂³	1	2	yes	—
326	C₅×C₂²⋊C₈	C₂³	1	2	yes	—
327	C₅×#97	C₂³	1	2	yes	—
328	C₄×C₅×C₈	C₂³	1	2	yes	—
329	C₂²⋊#168	C₂³	1	2	yes	—
330	C₂²⋊#168	C₂³	1	2	yes	—
331	C₂²⋊#168	C₂³	1	2	yes	—
332	C₂²⋊#168	C₂³	1	2	yes	—
333	#3952	C₂³	1	2	yes	—
334	#3952	C₂³	1	2	yes	—
335	#3952	C₂³	1	2	yes	—
336	#3952	C₂³	1	2	yes	—
337	#3947	C₂³	1	2	yes	—
338	#3947	C₂³	1	2	yes	—
339	#3947	C₂³	1	2	yes	—
340	#3947	C₂³	1	2	yes	—
341	#3946	C₂³	1	2	yes	—
342	#3946	C₂³	1	2	yes	—
343	#3946	C₂³	1	2	yes	—
344	#3946	C₂³	1	2	yes	—
345	#3946	C₂³	1	2	yes	—
346	#3946	C₂³	1	2	yes	—
347	#3946	C₂³	1	2	yes	—
348	#3946	C₂³	1	2	yes	—
349	#3946	C₂³	1	2	yes	—
350	#3946	C₂³	1	2	yes	—
351	#3946	C₂³	1	2	yes	—
352	#3946	C₂³	1	2	yes	—
353	#3946	C₂³	1	2	yes	—
354	#3946	C₂³	1	2	yes	—
355	#3946	C₂³	1	2	yes	—
356	#3946	C₂³	1	2	yes	—
357	C₈×Dic₅	C₂³	1	2	yes	—
358	C₈×Dic₅	C₂³	1	2	yes	—
359	C₈×Dic₅	C₂³	1	2	yes	—
360	C₈×Dic₅	C₂³	1	2	yes	—
361	C₄⋊#168	C₂³	1	2	yes	—
362	C₄⋊#168	C₂³	1	2	yes	—
363	#3935	C₂³	1	2	yes	—
364	C₄×#168	C₂³	1	2	yes	—
365	C₂×#529	—	5	1	no	—
366	#2995	—	5	2	no	—
367	#2995	—	5	2	no	—
368	#2994	—	5	2	no	—
369	#2994	—	5	2	no	—
370	#2993	—	5	2	no	—
371	#2993	—	5	2	no	—
372	#2992	—	5	2	no	—
373	#2992	—	5	2	no	—
374	Q₈×M₁₆	—	5	1	no	—
375	Q₈×M₁₆	—	5	1	no	—
376	D₄×M₁₆	—	5	1	no	—
377	D₄×M₁₆	—	5	1	no	—
378	D₄×M₁₆	—	5	1	no	—
379	D₄×M₁₆	—	5	1	no	—
380	D₄×M₁₆	—	5	1	no	—
381	D₄×M₁₆	D₅	1	1	yes	characteristic, complemented
382	#2921	—	5	1	no	—
383	#2921	—	5	1	no	—
384	#2920	—	5	1	no	—
385	#2905	—	5	1	no	—
386	#2905	—	5	1	no	—
387	C₂×#423	—	5	1	no	—
388	C₂⁴×C₅	C₂²×C₄	1	1	yes	characteristic
389	C₂⁴×C₅	C₂²×C₄	1	1	yes	characteristic
390	C₂³×D₅	C₂²×C₄	1	1	yes	characteristic
391	C₂×C₅×D₄	—	4	2	no	—
392	C₂×C₅×D₄	C₂²×C₄	1	1	yes	characteristic
393	C₂×C₅×D₄	C₂²×C₄	1	1	yes	characteristic
394	C₂×C₅×D₄	C₂²×C₄	1	1	yes	characteristic
395	C₂×C₅×D₄	C₂²×C₄	1	1	yes	characteristic
396	C₂²×C₄×C₅	—	2	2	no	—
397	C₂²×C₄×C₅	—	2	2	no	—
398	C₂²×C₄×C₅	—	2	2	no	—
399	C₂²×C₄×C₅	—	2	2	no	—
400	C₂²×C₄×C₅	C₂²×C₄	1	1	yes	characteristic
401	C₂²×C₄×C₅	C₂²×C₄	1	1	yes	characteristic
402	C₂²×C₄×C₅	C₂²×C₄	1	1	yes	characteristic
403	C₂²×C₄×C₅	C₂²×C₄	1	1	yes	characteristic
404	C₂²×C₄×C₅	C₂²×C₄	1	1	yes	characteristic
405	C₂²×C₄×C₅	C₂²×C₄	1	1	yes	characteristic
406	C₂²×C₄×C₅	C₂²×C₄	1	1	yes	characteristic
407	C₂²×C₄×C₅	C₂²×C₄	1	1	yes	characteristic
408	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
409	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
410	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
411	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
412	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
413	C₂×C₂²⋊D₅	—	4	2	no	—
414	C₂×C₂²⋊D₅	—	4	2	no	—
415	C₂×C₂²⋊D₅	C₂²×C₄	1	1	yes	characteristic
416	C₂×C₂²⋊D₅	C₂²×C₄	1	1	yes	characteristic
417	C₂×C₂²⋊D₅	C₂²×C₄	1	1	yes	characteristic
418	C₂×C₂²⋊D₅	C₂²×C₄	1	1	yes	characteristic
419	C₂×C₂²⋊D₅	C₂²×C₄	1	1	yes	characteristic
420	C₂×C₂²⋊D₅	C₂²×C₄	1	1	yes	characteristic
421	C₂×C₂²⋊D₅	C₂²×C₄	1	1	yes	characteristic
422	C₂×C₂²⋊D₅	C₂²×C₄	1	1	yes	characteristic
423	C₂²×Dic₅	—	4	2	no	—
424	C₂²×Dic₅	—	4	2	no	—
425	C₂²×Dic₅	C₂²×C₄	1	1	yes	characteristic
426	C₂²×Dic₅	C₂²×C₄	1	1	yes	characteristic
427	C₂²×Dic₅	C₂²×C₄	1	1	yes	characteristic
428	C₂²×Dic₅	C₂²×C₄	1	1	yes	characteristic
429	C₂²×Dic₅	C₂²×C₄	1	1	yes	characteristic
430	C₂²×Dic₅	C₂²×C₄	1	1	yes	characteristic
431	C₂²×Dic₅	C₂²×C₄	1	1	yes	characteristic
432	C₂²×Dic₅	C₂²×C₄	1	1	yes	characteristic
433	C₂²×Dic₅	C₂²×C₄	1	1	yes	characteristic
434	C₂²×Dic₅	C₂²×C₄	1	1	yes	characteristic
435	C₂²×Dic₅	C₂²×C₄	1	1	yes	characteristic
436	C₂²×Dic₅	C₂²×C₄	1	1	yes	characteristic
437	C₂²×Dic₅	C₂²×C₄	1	1	yes	characteristic
438	C₂²×Dic₅	C₂²×C₄	1	1	yes	characteristic
439	C₂²×Dic₅	C₂²×C₄	1	1	yes	characteristic
440	C₂×C₄×D₅	—	2	2	no	—
441	C₂×C₄×D₅	—	2	2	no	—
442	C₂×C₄×D₅	C₂²×C₄	1	1	yes	characteristic
443	C₂×C₄×D₅	C₂²×C₄	1	1	yes	characteristic
444	C₂×C₄×D₅	C₂⁴	1	1	yes	characteristic
445	C₂×C₄×D₅	C₂⁴	1	1	yes	characteristic
446	C₂×Dic₁₀	—	4	2	no	—
447	C₂×Dic₁₀	C₂²×C₄	1	1	yes	characteristic
448	C₂×Dic₁₀	C₂²×C₄	1	1	yes	characteristic
449	C₂×Dic₁₀	C₂²×C₄	1	1	yes	characteristic
450	C₂×Dic₁₀	C₂²×C₄	1	1	yes	characteristic
451	C₅×M₁₆	—	2	2	no	—
452	C₅×M₁₆	—	2	2	no	—
453	C₅×M₁₆	—	2	2	no	—
454	C₅×M₁₆	—	2	2	no	—
455	C₅×M₁₆	—	4	2	no	—
456	C₅×M₁₆	—	4	2	no	—
457	C₂×C₅×C₈	—	4	2	no	—
458	C₂×C₅×C₈	—	4	2	no	—
459	C₂×C₅×C₈	C₂⁴	1	2	yes	—
460	C₂×C₅×C₈	C₂⁴	1	2	yes	—
461	C₂×C₅×C₈	C₂⁴	1	2	yes	—
462	C₂×C₅×C₈	C₂⁴	1	2	yes	—
463	C₅×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
464	C₅×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
465	C₅×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
466	C₅×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
467	C₅×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
468	C₅×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
469	C₅×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
470	C₅×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
471	C₅×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
472	C₅×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
473	C₅×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
474	C₅×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
475	C₄²×C₅	C₂²×C₄	1	1	yes	characteristic
476	C₄²×C₅	C₂²×C₄	1	1	yes	characteristic
477	C₄²×C₅	C₂⁴	1	1	yes	characteristic
478	C₄²×C₅	C₂⁴	1	1	yes	characteristic
479	C₂²⋊Dic₅	C₂²×C₄	1	1	yes	characteristic
480	C₂²⋊Dic₅	C₂²×C₄	1	1	yes	characteristic
481	C₂²⋊Dic₅	C₂²×C₄	1	1	yes	characteristic
482	C₂²⋊Dic₅	C₂²×C₄	1	1	yes	characteristic
483	C₂²⋊Dic₅	C₂²×C₄	1	1	yes	characteristic
484	C₂²⋊Dic₅	C₂²×C₄	1	1	yes	characteristic
485	C₂²⋊Dic₅	C₂²×C₄	1	1	yes	characteristic
486	C₂²⋊Dic₅	C₂²×C₄	1	1	yes	characteristic
487	C₂²⋊Dic₅	C₂²×C₄	1	1	yes	characteristic
488	C₂²⋊Dic₅	C₂²×C₄	1	1	yes	characteristic
489	C₂²⋊Dic₅	C₂²×C₄	1	1	yes	characteristic
490	C₂²⋊Dic₅	C₂²×C₄	1	1	yes	characteristic
491	C₂²⋊Dic₅	C₂²×C₄	1	1	yes	characteristic
492	C₂²⋊Dic₅	C₂²×C₄	1	1	yes	characteristic
493	C₂²⋊Dic₅	C₂²×C₄	1	1	yes	characteristic
494	C₂²⋊Dic₅	C₂²×C₄	1	1	yes	characteristic
495	#685	C₂²×C₄	1	1	yes	characteristic
496	#685	C₂²×C₄	1	1	yes	characteristic
497	#685	C₂²×C₄	1	1	yes	characteristic
498	#685	C₂²×C₄	1	1	yes	characteristic
499	#685	C₂²×C₄	1	1	yes	characteristic
500	#685	C₂²×C₄	1	1	yes	characteristic
501	#685	C₂²×C₄	1	1	yes	characteristic
502	#685	C₂²×C₄	1	1	yes	characteristic
503	#685	C₂²×C₄	1	1	yes	characteristic
504	#685	C₂²×C₄	1	1	yes	characteristic
505	#685	C₂²×C₄	1	1	yes	characteristic
506	#685	C₂²×C₄	1	1	yes	characteristic
507	#685	C₂²×C₄	1	1	yes	characteristic
508	#685	C₂²×C₄	1	1	yes	characteristic
509	#685	C₂²×C₄	1	1	yes	characteristic
510	#685	C₂²×C₄	1	1	yes	characteristic
511	C₄⋊Dic₅	C₂²×C₄	1	1	yes	characteristic
512	C₄⋊Dic₅	C₂²×C₄	1	1	yes	characteristic
513	C₄⋊Dic₅	C₂²×C₄	1	1	yes	characteristic
514	C₄⋊Dic₅	C₂²×C₄	1	1	yes	characteristic
515	C₄⋊Dic₅	C₂²×C₄	1	1	yes	characteristic
516	C₄⋊Dic₅	C₂²×C₄	1	1	yes	characteristic
517	C₄⋊Dic₅	C₂²×C₄	1	1	yes	characteristic
518	C₄⋊Dic₅	C₂²×C₄	1	1	yes	characteristic
519	C₄⋊Dic₅	C₂²×C₄	1	1	yes	characteristic
520	C₄⋊Dic₅	C₂²×C₄	1	1	yes	characteristic
521	C₄⋊Dic₅	C₂²×C₄	1	1	yes	characteristic
522	C₄⋊Dic₅	C₂²×C₄	1	1	yes	characteristic
523	#683	C₂²×C₄	1	1	yes	characteristic
524	#683	C₂²×C₄	1	1	yes	characteristic
525	#683	C₂²×C₄	1	1	yes	characteristic
526	#683	C₂²×C₄	1	1	yes	characteristic
527	#683	C₂²×C₄	1	1	yes	characteristic
528	#683	C₂²×C₄	1	1	yes	characteristic
529	#683	C₂²×C₄	1	1	yes	characteristic
530	#683	C₂²×C₄	1	1	yes	characteristic
531	#683	C₂²×C₄	1	1	yes	characteristic
532	#683	C₂²×C₄	1	1	yes	characteristic
533	#683	C₂²×C₄	1	1	yes	characteristic
534	#683	C₂²×C₄	1	1	yes	characteristic
535	#683	C₂²×C₄	1	1	yes	characteristic
536	#683	C₂²×C₄	1	1	yes	characteristic
537	#683	C₂²×C₄	1	1	yes	characteristic
538	#683	C₂²×C₄	1	1	yes	characteristic
539	#683	C₂²×C₄	1	1	yes	characteristic
540	#683	C₂²×C₄	1	1	yes	characteristic
541	#683	C₂²×C₄	1	1	yes	characteristic
542	#683	C₂²×C₄	1	1	yes	characteristic
543	#683	C₂²×C₄	1	1	yes	characteristic
544	#683	C₂²×C₄	1	1	yes	characteristic
545	#683	C₂²×C₄	1	1	yes	characteristic
546	#683	C₂²×C₄	1	1	yes	characteristic
547	C₄×Dic₅	C₂²×C₄	1	1	yes	characteristic
548	C₄×Dic₅	C₂²×C₄	1	1	yes	characteristic
549	C₄×Dic₅	C₂²×C₄	1	1	yes	characteristic
550	C₄×Dic₅	C₂²×C₄	1	1	yes	characteristic
551	C₄×Dic₅	C₂²×C₄	1	1	yes	characteristic
552	C₄×Dic₅	C₂²×C₄	1	1	yes	characteristic
553	C₄×Dic₅	C₂²×C₄	1	1	yes	characteristic
554	C₄×Dic₅	C₂²×C₄	1	1	yes	characteristic
555	C₄×Dic₅	C₂²×C₄	1	1	yes	characteristic
556	C₄×Dic₅	C₂²×C₄	1	1	yes	characteristic
557	C₄×Dic₅	C₂²×C₄	1	1	yes	characteristic
558	C₄×Dic₅	C₂²×C₄	1	1	yes	characteristic
559	C₄×Dic₅	C₂²×C₄	1	1	yes	characteristic
560	C₄×Dic₅	C₂²×C₄	1	1	yes	characteristic
561	C₄×Dic₅	C₂⁴	1	1	yes	characteristic
562	C₄×Dic₅	C₂⁴	1	1	yes	characteristic
563	C₄×Dic₅	C₂⁴	1	1	yes	characteristic
564	C₄×Dic₅	C₂⁴	1	1	yes	characteristic
565	C₄×Dic₅	C₂⁴	1	1	yes	characteristic
566	C₄×Dic₅	C₂⁴	1	1	yes	characteristic
567	#681	—	2	2	no	—
568	#681	—	2	2	no	—
569	#681	—	2	2	no	—
570	#681	—	2	2	no	—
571	#681	—	4	2	no	—
572	#681	—	4	2	no	—
573	C₂×#168	—	4	2	no	—
574	C₂×#168	—	4	2	no	—
575	C₂×#168	C₂⁴	1	2	yes	—
576	C₂×#168	C₂⁴	1	2	yes	—
577	C₂×#168	C₂⁴	1	2	yes	—
578	C₂×#168	C₂⁴	1	2	yes	—
579	#676	—	4	2	no	—
580	#676	—	4	2	no	—
581	C₈×D₅	—	4	2	no	—
582	C₈×D₅	—	4	2	no	—
583	C₂²×M₁₆	—	5	1	no	—
584	C₂²×M₁₆	—	5	1	no	—
585	C₂²×M₁₆	—	5	1	no	—
586	C₂²×M₁₆	—	5	1	no	—
587	C₂²×M₁₆	C₂×D₅	1	1	yes	characteristic
588	C₂²×M₁₆	C₂×D₅	1	1	yes	characteristic
589	#529	—	5	1	no	—
590	#529	—	5	1	no	—
591	#529	—	5	1	no	—
592	#529	—	5	1	no	—
593	#529	—	5	1	no	—
594	#529	—	5	1	no	—
595	#529	—	5	1	no	—
596	#529	—	5	1	no	—
597	#529	—	5	1	no	—
598	#529	—	5	1	no	—
599	#529	—	5	1	no	—
600	#529	—	5	1	no	—
601	#529	—	5	1	no	—
602	#529	—	5	1	no	—
603	#529	—	5	1	no	—
604	#529	—	5	1	no	—
605	C₂×#126	—	5	1	no	—
606	C₂×#126	—	5	1	no	—
607	C₂×#125	—	5	1	no	—
608	C₂×#124	—	5	1	no	—
609	C₂×#123	—	5	1	no	—
610	C₂×#123	—	5	1	no	—
611	C₂×C₂²⋊Q₈	—	5	1	no	—
612	C₂×#121	—	5	1	no	—
613	C₂×C₄×Q₈	—	5	1	no	—
614	C₂×C₄×D₄	—	5	1	no	—
615	C₂×C₄×D₄	—	5	1	no	—
616	C₂×C₄×D₄	C₂×D₅	1	1	yes	characteristic
617	C₂×#117	—	5	1	no	—
618	C₂×#117	—	5	1	no	—
619	C₂²×C₄²	—	5	1	no	—
620	#446	—	5	2	no	—
621	#446	—	5	2	no	—
622	#446	—	5	2	no	—
623	#446	—	5	2	no	—
624	#446	—	5	2	no	—
625	#446	—	5	2	no	—
626	C₈×Q₈	—	5	2	no	—
627	C₈×Q₈	—	5	2	no	—
628	#436	—	5	2	no	—
629	#436	—	5	2	no	—
630	#436	—	5	2	no	—
631	#436	—	5	2	no	—
632	#436	—	5	2	no	—
633	#436	C₂×D₅	1	2	yes	complemented
634	#435	—	5	2	no	—
635	#435	—	5	2	no	—
636	#435	—	5	2	no	—
637	#435	—	5	2	no	—
638	#435	—	5	2	no	—
639	#435	—	5	2	no	—
640	#435	—	5	2	no	—
641	#435	—	5	2	no	—
642	#435	—	5	2	no	—
643	#435	—	5	2	no	—
644	#435	C₂×D₅	1	2	yes	complemented
645	#435	C₂×D₅	1	2	yes	complemented
646	C₈×D₄	—	5	2	no	—
647	C₈×D₄	—	5	2	no	—
648	C₈×D₄	—	5	2	no	—
649	C₈×D₄	—	5	2	no	—
650	C₈×D₄	—	5	2	no	—
651	C₈×D₄	C₂×D₅	1	2	yes	complemented
652	#433	—	5	2	no	—
653	#433	—	5	2	no	—
654	#433	—	5	2	no	—
655	#433	—	5	2	no	—
656	#433	—	5	2	no	—
657	#433	—	5	2	no	—
658	#433	—	5	2	no	—
659	#433	—	5	2	no	—
660	#432	—	5	2	no	—
661	#432	—	5	2	no	—
662	#431	—	5	2	no	—
663	#431	—	5	2	no	—
664	#424	—	5	2	no	—
665	#424	—	5	2	no	—
666	#424	—	5	2	no	—
667	#424	—	5	2	no	—
668	#424	—	5	2	no	—
669	#424	—	5	2	no	—
670	#424	—	5	2	no	—
671	#424	—	5	2	no	—
672	#423	—	5	1	no	—
673	#423	—	5	1	no	—
674	#423	—	5	1	no	—
675	#423	—	5	1	no	—
676	#423	—	5	2	no	—
677	#423	—	5	2	no	—
678	#423	—	5	1	no	—
679	#423	—	5	1	no	—
680	#423	—	5	1	no	—
681	#423	—	5	1	no	—
682	#423	—	5	1	no	—
683	#423	C₂×D₅	1	1	yes	characteristic
684	C₂×C₄⋊C₈	—	5	2	no	—
685	C₂×C₄⋊C₈	—	5	2	no	—
686	#407	—	5	1	no	—
687	#407	—	5	1	no	—
688	#407	—	5	1	no	—
689	#407	—	5	1	no	—
690	#407	C₂×D₅	1	1	yes	characteristic
691	#407	C₂×D₅	1	1	yes	characteristic
692	C₄×M₁₆	—	5	1	no	—
693	C₄×M₁₆	—	5	1	no	—
694	C₄×M₁₆	—	5	1	no	—
695	C₄×M₁₆	—	5	1	no	—
696	C₄×M₁₆	—	5	1	no	—
697	C₄×M₁₆	C₂×D₅	1	1	yes	characteristic
698	C₂³×C₅	—	2	2	no	—
699	C₂³×C₅	—	2	2	no	—
700	C₂³×C₅	—	2	2	no	—
701	C₂³×C₅	—	4	1	no	—
702	C₂³×C₅	—	4	1	no	—
703	C₂³×C₅	—	4	1	no	—
704	C₂³×C₅	C₂³×C₄	1	1	yes	characteristic
705	C₂³×C₅	C₂³×C₄	1	1	yes	characteristic
706	C₂³×C₅	C₂³×C₄	1	1	yes	characteristic
707	C₂³×C₅	C₂³×C₄	1	1	yes	characteristic
708	C₂³×C₅	C₂³×C₄	1	1	yes	characteristic
709	C₂²×D₅	—	2	2	no	—
710	C₂²×D₅	—	4	1	no	—
711	C₂²×D₅	—	4	1	no	—
712	C₂²×D₅	C₂³×C₄	1	1	yes	characteristic
713	C₂²×D₅	C₂³×C₄	1	1	yes	characteristic
714	C₅×D₄	—	2	2	no	—
715	C₅×D₄	—	2	2	no	—
716	C₅×D₄	—	4	1	no	—
717	C₅×D₄	—	4	1	no	—
718	C₂×C₄×C₅	—	2	2	no	—
719	C₂×C₄×C₅	—	2	2	no	—
720	C₂×C₄×C₅	—	2	2	no	—
721	C₂×C₄×C₅	—	2	2	no	—
722	C₂×C₄×C₅	—	2	2	no	—
723	C₂×C₄×C₅	—	2	2	no	—
724	C₂×C₄×C₅	—	2	1	no	—
725	C₂×C₄×C₅	—	2	1	no	—
726	C₂×C₄×C₅	—	2	1	no	—
727	C₂×C₄×C₅	—	2	1	no	—
728	C₂×C₄×C₅	—	2	1	no	—
729	C₂×C₄×C₅	—	2	1	no	—
730	C₂×C₄×C₅	—	2	1	no	—
731	C₂×C₄×C₅	—	2	1	no	—
732	C₂×C₄×C₅	—	4	1	no	—
733	C₂×C₄×C₅	—	4	1	no	—
734	C₂×C₄×C₅	C₂³×C₄	1	1	yes	characteristic
735	C₂×C₄×C₅	C₂³×C₄	1	1	yes	characteristic
736	C₂×C₄×C₅	C₂³×C₄	1	1	yes	characteristic
737	C₂×C₄×C₅	C₂³×C₄	1	1	yes	characteristic
738	C₂×C₄×C₅	C₂³×C₄	1	1	yes	characteristic
739	C₂×C₄×C₅	C₂³×C₄	1	1	yes	characteristic
740	C₂×C₄×C₅	C₂³×C₄	1	1	yes	characteristic
741	C₂×C₄×C₅	C₂³×C₄	1	1	yes	characteristic
742	C₂×C₄×C₅	C₂³×C₄	1	1	yes	characteristic
743	C₂×C₄×C₅	H(5,𝔽₂)	1	2	yes	—
744	C₂×C₄×C₅	2₋¹⁺⁴	1	2	yes	—
745	C₂×C₄×C₅	C₂⁵	1	1	yes	characteristic
746	C₂²⋊D₅	—	2	2	no	—
747	C₂²⋊D₅	—	2	2	no	—
748	C₂²⋊D₅	—	2	2	no	—
749	C₂²⋊D₅	—	2	2	no	—
750	C₂²⋊D₅	—	4	1	no	—
751	C₂²⋊D₅	—	4	1	no	—
752	C₂²⋊D₅	—	4	1	no	—
753	C₂²⋊D₅	—	4	1	no	—
754	C₂×Dic₅	—	2	2	no	—
755	C₂×Dic₅	—	2	2	no	—
756	C₂×Dic₅	—	2	2	no	—
757	C₂×Dic₅	—	2	2	no	—
758	C₂×Dic₅	—	2	2	no	—
759	C₂×Dic₅	—	2	2	no	—
760	C₂×Dic₅	—	4	1	no	—
761	C₂×Dic₅	—	4	1	no	—
762	C₂×Dic₅	—	4	1	no	—
763	C₂×Dic₅	—	4	1	no	—
764	C₂×Dic₅	—	4	1	no	—
765	C₂×Dic₅	—	4	1	no	—
766	C₂×Dic₅	—	4	1	no	—
767	C₂×Dic₅	—	4	1	no	—
768	C₂×Dic₅	—	4	1	no	—
769	C₂×Dic₅	C₂³×C₄	1	1	yes	characteristic
770	C₂×Dic₅	C₂³×C₄	1	1	yes	characteristic
771	C₂×Dic₅	C₂³×C₄	1	1	yes	characteristic
772	C₂×Dic₅	C₂³×C₄	1	1	yes	characteristic
773	C₂×Dic₅	C₂³×C₄	1	1	yes	characteristic
774	C₂×Dic₅	C₂³×C₄	1	1	yes	characteristic
775	C₂×Dic₅	C₂³×C₄	1	1	yes	characteristic
776	C₂×Dic₅	C₂³×C₄	1	1	yes	characteristic
777	C₂×Dic₅	C₂³×C₄	1	1	yes	characteristic
778	C₂×Dic₅	C₂³×C₄	1	1	yes	characteristic
779	C₂×Dic₅	C₂³×C₄	1	1	yes	characteristic
780	C₂×Dic₅	C₂³×C₄	1	1	yes	characteristic
781	C₂×Dic₅	C₂³×C₄	1	1	yes	characteristic
782	C₂×Dic₅	C₂³×C₄	1	1	yes	characteristic
783	C₄×D₅	—	2	2	no	—
784	C₄×D₅	—	2	2	no	—
785	C₄×D₅	—	2	1	no	—
786	C₄×D₅	—	2	1	no	—
787	C₄×D₅	—	2	1	no	—
788	C₄×D₅	—	2	1	no	—
789	Dic₁₀	—	2	2	no	—
790	Dic₁₀	—	2	2	no	—
791	Dic₁₀	—	4	1	no	—
792	Dic₁₀	—	4	1	no	—
793	C₅×C₈	—	2	2	no	—
794	C₅×C₈	—	2	2	no	—
795	C₅×C₈	—	2	2	no	—
796	C₅×C₈	—	2	2	no	—
797	#168	—	2	2	no	—
798	#168	—	2	2	no	—
799	#168	—	2	2	no	—
800	#168	—	2	2	no	—
801	C₂²×Q₈	—	5	1	no	—
802	C₂²×D₄	—	5	1	no	—
803	C₂²×D₄	—	5	1	no	—
804	C₂²×D₄	C₄×D₅	1	1	yes	characteristic
805	C₂³×C₄	—	5	1	no	—
806	C₂³×C₄	—	5	1	no	—
807	C₂³×C₄	—	5	1	no	—
808	C₂³×C₄	C₂²×D₅	1	1	yes	characteristic
809	C₂³×C₄	C₂²×D₅	1	1	yes	characteristic
810	C₂×M₁₆	—	4	2	no	—
811	C₂×M₁₆	—	4	2	no	—
812	C₂×M₁₆	—	5	1	no	—
813	C₂×M₁₆	—	5	1	no	—
814	C₂×M₁₆	—	5	1	no	—
815	C₂×M₁₆	—	5	1	no	—
816	C₂×M₁₆	—	5	2	no	—
817	C₂×M₁₆	—	5	2	no	—
818	C₂×M₁₆	—	5	2	no	—
819	C₂×M₁₆	—	5	2	no	—
820	C₂×M₁₆	—	20	2	no	—
821	C₂×M₁₆	—	20	2	no	—
822	C₂×M₁₆	—	20	2	no	—
823	C₂×M₁₆	—	20	2	no	—
824	C₂×M₁₆	C₂²×D₅	1	1	yes	characteristic
825	C₂×M₁₆	C₂²×D₅	1	1	yes	characteristic
826	C₂×M₁₆	C₂²×D₅	1	1	yes	characteristic
827	C₂×M₁₆	C₂²×D₅	1	1	yes	characteristic
828	C₂×M₁₆	C₂²×D₅	1	2	yes	—
829	C₂×M₁₆	C₂²×D₅	1	2	yes	—
830	C₂²×C₈	—	5	2	no	—
831	C₂²×C₈	—	5	2	no	—
832	C₂²×C₈	—	5	2	no	—
833	C₂²×C₈	—	5	2	no	—
834	C₂²×C₈	C₂²×D₅	1	2	yes	—
835	C₂²×C₈	C₂²×D₅	1	2	yes	—
836	#126	—	5	1	no	—
837	#126	—	5	1	no	—
838	#126	—	5	1	no	—
839	#126	—	5	1	no	—
840	#126	—	5	1	no	—
841	#126	—	5	1	no	—
842	#126	—	5	1	no	—
843	#126	—	5	1	no	—
844	#126	—	5	1	no	—
845	#126	—	5	1	no	—
846	#126	—	5	1	no	—
847	#126	—	5	1	no	—
848	#126	—	5	1	no	—
849	#126	—	5	1	no	—
850	#126	—	5	1	no	—
851	#126	—	5	1	no	—
852	#125	—	5	1	no	—
853	#125	—	5	1	no	—
854	#125	—	5	1	no	—
855	#125	—	5	1	no	—
856	#125	—	5	1	no	—
857	#125	—	5	1	no	—
858	#125	—	5	1	no	—
859	#125	—	5	1	no	—
860	#124	—	5	1	no	—
861	#124	—	5	1	no	—
862	#124	—	5	1	no	—
863	#124	—	5	1	no	—
864	#124	—	5	1	no	—
865	#124	—	5	1	no	—
866	#124	—	5	1	no	—
867	#124	—	5	1	no	—
868	#123	—	5	1	no	—
869	#123	—	5	1	no	—
870	#123	—	5	1	no	—
871	#123	—	5	1	no	—
872	#123	—	5	1	no	—
873	#123	—	5	1	no	—
874	#123	—	5	1	no	—
875	#123	—	5	1	no	—
876	#123	—	5	1	no	—
877	#123	—	5	1	no	—
878	#123	—	5	1	no	—
879	#123	—	5	1	no	—
880	#123	—	5	1	no	—
881	#123	—	5	1	no	—
882	#123	—	5	1	no	—
883	#123	—	5	1	no	—
884	C₂²⋊Q₈	—	5	1	no	—
885	C₂²⋊Q₈	—	5	1	no	—
886	C₂²⋊Q₈	—	5	1	no	—
887	C₂²⋊Q₈	—	5	1	no	—
888	C₂²⋊Q₈	—	5	1	no	—
889	C₂²⋊Q₈	—	5	1	no	—
890	C₂²⋊Q₈	—	5	1	no	—
891	C₂²⋊Q₈	—	5	1	no	—
892	#121	—	5	1	no	—
893	#121	—	5	1	no	—
894	#121	—	5	1	no	—
895	#121	—	5	1	no	—
896	#121	—	5	1	no	—
897	#121	—	5	1	no	—
898	#121	—	5	1	no	—
899	#121	—	5	1	no	—
900	C₄×Q₈	—	5	1	no	—
901	C₄×Q₈	—	5	1	no	—
902	C₄×Q₈	—	5	1	no	—
903	C₄×Q₈	—	5	1	no	—
904	C₄×Q₈	—	5	1	no	—
905	C₄×Q₈	—	5	1	no	—
906	C₄×Q₈	—	5	1	no	—
907	C₄×Q₈	—	5	1	no	—
908	C₄×D₄	—	5	1	no	—
909	C₄×D₄	—	5	1	no	—
910	C₄×D₄	—	5	1	no	—
911	C₄×D₄	—	5	1	no	—
912	C₄×D₄	—	5	1	no	—
913	C₄×D₄	—	5	1	no	—
914	C₄×D₄	—	5	1	no	—
915	C₄×D₄	—	5	1	no	—
916	C₄×D₄	—	5	1	no	—
917	C₄×D₄	—	5	1	no	—
918	C₄×D₄	—	5	1	no	—
919	C₄×D₄	—	5	1	no	—
920	C₄×D₄	—	5	1	no	—
921	C₄×D₄	—	5	1	no	—
922	C₄×D₄	—	5	1	no	—
923	C₄×D₄	—	5	1	no	—
924	C₄×D₄	C₄×D₅	1	1	yes	characteristic
925	C₄×D₄	C₄×D₅	1	1	yes	characteristic
926	C₄×D₄	C₄×D₅	1	1	yes	characteristic
927	C₄×D₄	C₄×D₅	1	1	yes	characteristic
928	C₄×D₄	C₂²×D₅	1	1	yes	characteristic
929	C₄×D₄	C₂²×D₅	1	1	yes	characteristic
930	C₄×D₄	C₂²×D₅	1	1	yes	characteristic
931	C₄×D₄	C₂²×D₅	1	1	yes	characteristic
932	#117	—	5	1	no	—
933	#117	—	5	1	no	—
934	#117	—	5	1	no	—
935	#117	—	5	1	no	—
936	#117	—	5	1	no	—
937	#117	—	5	1	no	—
938	#117	—	5	1	no	—
939	#117	—	5	1	no	—
940	#117	—	5	1	no	—
941	#117	—	5	1	no	—
942	#117	—	5	1	no	—
943	#117	—	5	1	no	—
944	#117	—	5	1	no	—
945	#117	—	5	1	no	—
946	#117	—	5	1	no	—
947	#117	—	5	1	no	—
948	C₂×C₄⋊C₄	—	5	1	no	—
949	C₂×C₄⋊C₄	—	5	1	no	—
950	C₂×C₄⋊C₄	—	5	1	no	—
951	C₂×C₄⋊C₄	—	5	1	no	—
952	C₂×C₄⋊C₄	—	5	1	no	—
953	C₂×C₄⋊C₄	—	5	1	no	—
954	C₂×C₄⋊C₄	—	5	1	no	—
955	C₂×C₄⋊C₄	—	5	1	no	—
956	C₂×C₄⋊C₄	—	5	1	no	—
957	C₂×C₄⋊C₄	C₄×D₅	1	1	yes	characteristic
958	C₂×C₂²⋊C₄	—	5	1	no	—
959	C₂×C₂²⋊C₄	—	5	1	no	—
960	C₂×C₂²⋊C₄	—	5	1	no	—
961	C₂×C₂²⋊C₄	—	5	1	no	—
962	C₂×C₂²⋊C₄	—	5	1	no	—
963	C₂×C₂²⋊C₄	—	5	1	no	—
964	C₂×C₂²⋊C₄	—	5	1	no	—
965	C₂×C₂²⋊C₄	—	5	1	no	—
966	C₂×C₂²⋊C₄	C₄×D₅	1	1	yes	characteristic
967	C₂×C₂²⋊C₄	C₄×D₅	1	1	yes	characteristic
968	C₂×C₄²	—	5	1	no	—
969	C₂×C₄²	—	5	1	no	—
970	C₂×C₄²	—	5	1	no	—
971	C₂×C₄²	—	5	1	no	—
972	C₂×C₄²	—	5	1	no	—
973	C₂×C₄²	—	5	1	no	—
974	C₂×C₄²	—	5	1	no	—
975	C₂×C₄²	—	5	1	no	—
976	C₂×C₄²	—	5	1	no	—
977	C₂×C₄²	—	5	1	no	—
978	C₂×C₄²	—	5	1	no	—
979	C₂×C₄²	—	5	1	no	—
980	C₂×C₄²	—	5	1	no	—
981	C₂×C₄²	C₂²×D₅	1	1	yes	characteristic
982	C₄⋊C₈	—	5	2	no	—
983	C₄⋊C₈	—	5	2	no	—
984	C₄⋊C₈	—	5	2	no	—
985	C₄⋊C₈	—	5	2	no	—
986	C₄⋊C₈	—	5	2	no	—
987	C₄⋊C₈	—	5	2	no	—
988	C₄⋊C₈	—	5	2	no	—
989	C₄⋊C₈	—	5	2	no	—
990	C₄⋊C₈	—	5	2	no	—
991	C₄⋊C₈	—	5	2	no	—
992	C₄⋊C₈	—	5	2	no	—
993	C₄⋊C₈	—	5	2	no	—
994	C₄⋊C₈	—	5	2	no	—
995	C₄⋊C₈	—	5	2	no	—
996	C₄⋊C₈	—	5	2	no	—
997	C₄⋊C₈	—	5	2	no	—
998	C₄⋊C₈	—	5	2	no	—
999	C₄⋊C₈	—	5	2	no	—
1000	C₄⋊C₈	C₂²×D₅	1	2	yes	—
1001	C₄⋊C₈	C₂²×D₅	1	2	yes	—
1002	C₂²⋊C₈	—	5	2	no	—
1003	C₂²⋊C₈	—	5	2	no	—
1004	C₂²⋊C₈	—	5	2	no	—
1005	C₂²⋊C₈	—	5	2	no	—
1006	C₂²⋊C₈	—	5	2	no	—
1007	C₂²⋊C₈	—	5	2	no	—
1008	C₂²⋊C₈	—	5	2	no	—
1009	C₂²⋊C₈	—	5	2	no	—
1010	C₂²⋊C₈	C₂²×D₅	1	2	yes	—
1011	C₂²⋊C₈	C₂²×D₅	1	2	yes	—
1012	C₂²⋊C₈	C₂²×D₅	1	2	yes	—
1013	C₂²⋊C₈	C₂²×D₅	1	2	yes	—
1014	#97	—	5	2	no	—
1015	#97	—	5	2	no	—
1016	#97	—	5	2	no	—
1017	#97	—	5	2	no	—
1018	#97	—	5	2	no	—
1019	#97	C₂²×D₅	1	2	yes	—
1020	C₄×C₈	—	5	2	no	—
1021	C₄×C₈	—	5	2	no	—
1022	C₄×C₈	—	5	2	no	—
1023	C₄×C₈	—	5	2	no	—
1024	C₄×C₈	—	5	2	no	—
1025	C₄×C₈	C₂²×D₅	1	2	yes	—
1026	C₂²×C₅	—	2	1	no	—
1027	C₂²×C₅	—	2	1	no	—
1028	C₂²×C₅	—	2	1	no	—
1029	C₂²×C₅	—	2	1	no	—
1030	C₂²×C₅	—	2	1	no	—
1031	C₂²×C₅	—	2	1	no	—
1032	C₂²×C₅	—	2	1	no	—
1033	C₂²×C₅	—	2	1	no	—
1034	C₂²×C₅	—	2	1	no	—
1035	C₂²×C₅	—	2	1	no	—
1036	C₂²×C₅	—	2	1	no	—
1037	C₂²×C₅	—	2	1	no	—
1038	C₂²×C₅	—	2	1	no	—
1039	C₂²×C₅	—	4	4	no	—
1040	C₂²×C₅	—	8	2	no	—
1041	C₂²×C₅	#520	1	2	yes	—
1042	C₂²×C₅	#568	1	2	yes	—
1043	C₂²×C₅	C₂⁴×C₄	1	1	yes	characteristic
1044	C₂×D₅	—	2	1	no	—
1045	C₂×D₅	—	2	1	no	—
1046	C₂×D₅	—	2	1	no	—
1047	C₂×D₅	—	2	1	no	—
1048	C₂×D₅	—	2	1	no	—
1049	C₂×D₅	—	2	1	no	—
1050	C₂×D₅	—	8	2	no	—
1051	C₄×C₅	—	2	1	no	—
1052	C₄×C₅	—	2	1	no	—
1053	C₄×C₅	—	2	1	no	—
1054	C₄×C₅	—	2	1	no	—
1055	C₄×C₅	—	2	1	no	—
1056	C₄×C₅	—	2	1	no	—
1057	C₄×C₅	—	2	1	no	—
1058	C₄×C₅	—	2	1	no	—
1059	C₄×C₅	#520	1	2	yes	—
1060	C₄×C₅	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1061	C₄×C₅	C₂×2₋¹⁺⁴	1	1	yes	characteristic
1062	Dic₅	—	2	1	no	—
1063	Dic₅	—	2	1	no	—
1064	Dic₅	—	2	1	no	—
1065	Dic₅	—	2	1	no	—
1066	Dic₅	—	2	1	no	—
1067	Dic₅	—	2	1	no	—
1068	Dic₅	—	2	1	no	—
1069	Dic₅	—	2	1	no	—
1070	Dic₅	—	2	1	no	—
1071	Dic₅	—	2	1	no	—
1072	Dic₅	—	2	1	no	—
1073	Dic₅	—	2	1	no	—
1074	Dic₅	—	2	1	no	—
1075	Dic₅	#568	1	2	yes	—
1076	C₂⁴	—	5	1	no	—
1077	C₂⁴	C₂×C₄×D₅	1	1	yes	characteristic
1078	C₂⁴	C₂×C₄×D₅	1	1	yes	characteristic
1079	C₂×Q₈	—	5	1	no	—
1080	C₂×Q₈	—	5	1	no	—
1081	C₂×Q₈	—	5	1	no	—
1082	C₂×Q₈	—	5	1	no	—
1083	C₂×Q₈	—	20	2	no	—
1084	C₂×D₄	—	4	2	no	—
1085	C₂×D₄	—	5	1	no	—
1086	C₂×D₄	—	5	1	no	—
1087	C₂×D₄	—	5	1	no	—
1088	C₂×D₄	—	5	1	no	—
1089	C₂×D₄	—	5	1	no	—
1090	C₂×D₄	—	5	1	no	—
1091	C₂×D₄	—	5	1	no	—
1092	C₂×D₄	—	5	1	no	—
1093	C₂×D₄	—	20	2	no	—
1094	C₂×D₄	—	20	2	no	—
1095	C₂×D₄	C₂×C₄×D₅	1	1	yes	characteristic
1096	C₂×D₄	C₂×C₄×D₅	1	1	yes	characteristic
1097	C₂×D₄	C₂×C₄×D₅	1	1	yes	characteristic
1098	C₂×D₄	C₂×C₄×D₅	1	1	yes	characteristic
1099	C₂²×C₄	—	2	2	no	—
1100	C₂²×C₄	—	2	2	no	—
1101	C₂²×C₄	—	2	2	no	—
1102	C₂²×C₄	—	2	2	no	—
1103	C₂²×C₄	—	5	1	no	—
1104	C₂²×C₄	—	5	1	no	—
1105	C₂²×C₄	—	5	1	no	—
1106	C₂²×C₄	—	5	1	no	—
1107	C₂²×C₄	—	5	1	no	—
1108	C₂²×C₄	—	5	1	no	—
1109	C₂²×C₄	—	5	1	no	—
1110	C₂²×C₄	—	5	1	no	—
1111	C₂²×C₄	—	5	1	no	—
1112	C₂²×C₄	—	5	1	no	—
1113	C₂²×C₄	—	5	1	no	—
1114	C₂²×C₄	—	5	1	no	—
1115	C₂²×C₄	—	5	1	no	—
1116	C₂²×C₄	—	5	1	no	—
1117	C₂²×C₄	—	5	1	no	—
1118	C₂²×C₄	—	5	1	no	—
1119	C₂²×C₄	—	5	1	no	—
1120	C₂²×C₄	—	5	1	no	—
1121	C₂²×C₄	—	5	1	no	—
1122	C₂²×C₄	—	10	2	no	—
1123	C₂²×C₄	—	10	2	no	—
1124	C₂²×C₄	—	20	2	no	—
1125	C₂²×C₄	—	20	2	no	—
1126	C₂²×C₄	C₂×C₄×D₅	1	1	yes	characteristic
1127	C₂²×C₄	C₂×C₄×D₅	1	1	yes	characteristic
1128	C₂²×C₄	C₂×C₄×D₅	1	1	yes	characteristic
1129	C₂²×C₄	C₂×C₄×D₅	1	1	yes	characteristic
1130	C₂²×C₄	C₂×C₄×D₅	1	1	yes	characteristic
1131	C₂²×C₄	C₂×C₄×D₅	1	1	yes	characteristic
1132	C₂²×C₄	C₂×C₄×D₅	1	1	yes	characteristic
1133	C₂²×C₄	C₂×C₄×D₅	1	1	yes	characteristic
1134	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1135	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1136	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1137	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1138	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1139	M₁₆	—	2	2	no	—
1140	M₁₆	—	2	2	no	—
1141	M₁₆	—	2	2	no	—
1142	M₁₆	—	2	2	no	—
1143	M₁₆	—	4	2	no	—
1144	M₁₆	—	4	2	no	—
1145	M₁₆	—	10	2	no	—
1146	M₁₆	—	10	2	no	—
1147	M₁₆	—	10	2	no	—
1148	M₁₆	—	10	2	no	—
1149	M₁₆	—	20	2	no	—
1150	M₁₆	—	20	2	no	—
1151	M₁₆	—	20	2	no	—
1152	M₁₆	—	20	2	no	—
1153	C₂×C₈	—	4	2	no	—
1154	C₂×C₈	—	4	2	no	—
1155	C₂×C₈	—	5	2	no	—
1156	C₂×C₈	—	5	2	no	—
1157	C₂×C₈	—	5	2	no	—
1158	C₂×C₈	—	5	2	no	—
1159	C₂×C₈	—	20	2	no	—
1160	C₂×C₈	—	20	2	no	—
1161	C₂×C₈	—	20	2	no	—
1162	C₂×C₈	—	20	2	no	—
1163	C₂×C₈	C₂³×D₅	1	2	yes	—
1164	C₂×C₈	C₂³×D₅	1	2	yes	—
1165	C₂×C₈	C₂³×D₅	1	2	yes	—
1166	C₂×C₈	C₂³×D₅	1	2	yes	—
1167	C₄⋊C₄	—	5	1	no	—
1168	C₄⋊C₄	—	5	1	no	—
1169	C₄⋊C₄	—	5	1	no	—
1170	C₄⋊C₄	—	5	1	no	—
1171	C₄⋊C₄	—	5	1	no	—
1172	C₄⋊C₄	—	5	1	no	—
1173	C₄⋊C₄	—	5	1	no	—
1174	C₄⋊C₄	—	5	1	no	—
1175	C₄⋊C₄	—	5	1	no	—
1176	C₄⋊C₄	—	5	1	no	—
1177	C₄⋊C₄	—	5	1	no	—
1178	C₄⋊C₄	—	5	1	no	—
1179	C₄⋊C₄	—	5	1	no	—
1180	C₄⋊C₄	—	5	1	no	—
1181	C₄⋊C₄	—	5	1	no	—
1182	C₄⋊C₄	—	5	1	no	—
1183	C₄⋊C₄	—	5	1	no	—
1184	C₄⋊C₄	—	5	1	no	—
1185	C₄⋊C₄	—	5	1	no	—
1186	C₄⋊C₄	—	5	1	no	—
1187	C₄⋊C₄	—	5	1	no	—
1188	C₄⋊C₄	—	5	1	no	—
1189	C₄⋊C₄	—	5	1	no	—
1190	C₄⋊C₄	—	5	1	no	—
1191	C₄⋊C₄	—	5	1	no	—
1192	C₄⋊C₄	—	5	1	no	—
1193	C₄⋊C₄	—	5	1	no	—
1194	C₄⋊C₄	—	5	1	no	—
1195	C₄⋊C₄	—	5	1	no	—
1196	C₄⋊C₄	—	5	1	no	—
1197	C₄⋊C₄	—	5	1	no	—
1198	C₄⋊C₄	—	5	1	no	—
1199	C₄⋊C₄	—	5	1	no	—
1200	C₄⋊C₄	—	5	1	no	—
1201	C₄⋊C₄	—	5	1	no	—
1202	C₄⋊C₄	—	5	1	no	—
1203	C₄⋊C₄	C₂×C₄×D₅	1	1	yes	characteristic
1204	C₄⋊C₄	C₂×C₄×D₅	1	1	yes	characteristic
1205	C₄⋊C₄	C₂×C₄×D₅	1	1	yes	characteristic
1206	C₄⋊C₄	C₂×C₄×D₅	1	1	yes	characteristic
1207	C₂²⋊C₄	—	5	1	no	—
1208	C₂²⋊C₄	—	5	1	no	—
1209	C₂²⋊C₄	—	5	1	no	—
1210	C₂²⋊C₄	—	5	1	no	—
1211	C₂²⋊C₄	—	5	1	no	—
1212	C₂²⋊C₄	—	5	1	no	—
1213	C₂²⋊C₄	—	5	1	no	—
1214	C₂²⋊C₄	—	5	1	no	—
1215	C₂²⋊C₄	—	5	1	no	—
1216	C₂²⋊C₄	—	5	1	no	—
1217	C₂²⋊C₄	—	5	1	no	—
1218	C₂²⋊C₄	—	5	1	no	—
1219	C₂²⋊C₄	—	5	1	no	—
1220	C₂²⋊C₄	—	5	1	no	—
1221	C₂²⋊C₄	—	5	1	no	—
1222	C₂²⋊C₄	—	5	1	no	—
1223	C₂²⋊C₄	—	5	1	no	—
1224	C₂²⋊C₄	—	5	1	no	—
1225	C₂²⋊C₄	—	5	1	no	—
1226	C₂²⋊C₄	—	5	1	no	—
1227	C₂²⋊C₄	—	5	1	no	—
1228	C₂²⋊C₄	—	5	1	no	—
1229	C₂²⋊C₄	—	5	1	no	—
1230	C₂²⋊C₄	—	5	1	no	—
1231	C₂²⋊C₄	—	5	1	no	—
1232	C₂²⋊C₄	—	5	1	no	—
1233	C₂²⋊C₄	—	5	1	no	—
1234	C₂²⋊C₄	—	5	1	no	—
1235	C₂²⋊C₄	—	5	1	no	—
1236	C₂²⋊C₄	—	5	1	no	—
1237	C₂²⋊C₄	—	5	1	no	—
1238	C₂²⋊C₄	—	5	1	no	—
1239	C₂²⋊C₄	C₂×C₄×D₅	1	1	yes	characteristic
1240	C₂²⋊C₄	C₂×C₄×D₅	1	1	yes	characteristic
1241	C₂²⋊C₄	C₂×C₄×D₅	1	1	yes	characteristic
1242	C₂²⋊C₄	C₂×C₄×D₅	1	1	yes	characteristic
1243	C₂²⋊C₄	C₂×C₄×D₅	1	1	yes	characteristic
1244	C₂²⋊C₄	C₂×C₄×D₅	1	1	yes	characteristic
1245	C₂²⋊C₄	C₂×C₄×D₅	1	1	yes	characteristic
1246	C₂²⋊C₄	C₂×C₄×D₅	1	1	yes	characteristic
1247	C₄²	—	5	1	no	—
1248	C₄²	—	5	1	no	—
1249	C₄²	—	5	1	no	—
1250	C₄²	—	5	1	no	—
1251	C₄²	—	5	1	no	—
1252	C₄²	—	5	1	no	—
1253	C₄²	—	5	1	no	—
1254	C₄²	—	5	1	no	—
1255	C₄²	—	5	1	no	—
1256	C₄²	—	5	1	no	—
1257	C₄²	—	5	1	no	—
1258	C₄²	—	5	1	no	—
1259	C₄²	—	5	1	no	—
1260	C₄²	—	5	1	no	—
1261	C₄²	—	5	1	no	—
1262	C₄²	—	5	1	no	—
1263	C₄²	—	5	1	no	—
1264	C₄²	—	5	1	no	—
1265	C₄²	—	5	1	no	—
1266	C₄²	—	5	1	no	—
1267	C₄²	C₂×C₄×D₅	1	1	yes	characteristic
1268	C₄²	C₂×C₄×D₅	1	1	yes	characteristic
1269	C₄²	C₂³×D₅	1	1	yes	characteristic
1270	C₄²	C₂³×D₅	1	1	yes	characteristic
1271	C₂×C₅	—	2	2	no	—
1272	C₂×C₅	—	2	2	no	—
1273	C₂×C₅	—	4	1	no	—
1274	C₂×C₅	—	4	1	no	—
1275	C₂×C₅	—	4	1	no	—
1276	C₂×C₅	C₂×#520	1	1	yes	characteristic
1277	C₂×C₅	C₂×#568	1	1	yes	characteristic
1278	C₂×C₅	C₂×#568	1	1	yes	characteristic
1279	D₅	—	4	1	no	—
1280	D₅	—	4	1	no	—
1281	C₂³	—	2	2	no	—
1282	C₂³	—	2	2	no	—
1283	C₂³	—	2	2	no	—
1284	C₂³	—	4	1	no	—
1285	C₂³	—	4	1	no	—
1286	C₂³	—	4	1	no	—
1287	C₂³	—	5	1	no	—
1288	C₂³	—	5	1	no	—
1289	C₂³	—	10	2	no	—
1290	C₂³	—	20	1	no	—
1291	C₂³	—	20	1	no	—
1292	C₂³	C₂²×C₄×D₅	1	1	yes	characteristic
1293	C₂³	C₂²×C₄×D₅	1	1	yes	characteristic
1294	C₂³	C₂²×C₄×D₅	1	1	yes	characteristic
1295	C₂³	C₂²×C₄×D₅	1	1	yes	characteristic
1296	C₂³	C₂²×C₄×D₅	1	1	yes	characteristic
1297	Q₈	—	10	2	no	—
1298	Q₈	—	10	2	no	—
1299	Q₈	—	20	1	no	—
1300	Q₈	—	20	1	no	—
1301	D₄	—	2	2	no	—
1302	D₄	—	2	2	no	—
1303	D₄	—	4	1	no	—
1304	D₄	—	4	1	no	—
1305	D₄	—	10	2	no	—
1306	D₄	—	10	2	no	—
1307	D₄	—	10	2	no	—
1308	D₄	—	10	2	no	—
1309	D₄	—	20	1	no	—
1310	D₄	—	20	1	no	—
1311	D₄	—	20	1	no	—
1312	D₄	—	20	1	no	—
1313	C₂×C₄	—	2	2	no	—
1314	C₂×C₄	—	2	2	no	—
1315	C₂×C₄	—	2	2	no	—
1316	C₂×C₄	—	2	2	no	—
1317	C₂×C₄	—	2	2	no	—
1318	C₂×C₄	—	2	2	no	—
1319	C₂×C₄	—	2	1	no	—
1320	C₂×C₄	—	2	1	no	—
1321	C₂×C₄	—	2	1	no	—
1322	C₂×C₄	—	2	1	no	—
1323	C₂×C₄	—	2	1	no	—
1324	C₂×C₄	—	2	1	no	—
1325	C₂×C₄	—	2	1	no	—
1326	C₂×C₄	—	2	1	no	—
1327	C₂×C₄	—	4	1	no	—
1328	C₂×C₄	—	4	1	no	—
1329	C₂×C₄	—	5	1	no	—
1330	C₂×C₄	—	5	1	no	—
1331	C₂×C₄	—	5	1	no	—
1332	C₂×C₄	—	5	1	no	—
1333	C₂×C₄	—	5	1	no	—
1334	C₂×C₄	—	5	1	no	—
1335	C₂×C₄	—	5	1	no	—
1336	C₂×C₄	—	5	1	no	—
1337	C₂×C₄	—	5	1	no	—
1338	C₂×C₄	—	5	1	no	—
1339	C₂×C₄	—	5	1	no	—
1340	C₂×C₄	—	5	1	no	—
1341	C₂×C₄	—	5	1	no	—
1342	C₂×C₄	—	5	1	no	—
1343	C₂×C₄	—	10	2	no	—
1344	C₂×C₄	—	10	2	no	—
1345	C₂×C₄	—	10	2	no	—
1346	C₂×C₄	—	10	2	no	—
1347	C₂×C₄	—	10	2	no	—
1348	C₂×C₄	—	10	2	no	—
1349	C₂×C₄	—	10	2	no	—
1350	C₂×C₄	—	10	2	no	—
1351	C₂×C₄	—	10	1	no	—
1352	C₂×C₄	—	10	1	no	—
1353	C₂×C₄	—	10	1	no	—
1354	C₂×C₄	—	10	1	no	—
1355	C₂×C₄	—	20	1	no	—
1356	C₂×C₄	—	20	1	no	—
1357	C₂×C₄	—	20	1	no	—
1358	C₂×C₄	—	20	1	no	—
1359	C₂×C₄	—	20	1	no	—
1360	C₂×C₄	—	20	1	no	—
1361	C₂×C₄	—	20	1	no	—
1362	C₂×C₄	—	20	1	no	—
1363	C₂×C₄	—	20	1	no	—
1364	C₂×C₄	C₂²×C₄×D₅	1	1	yes	characteristic
1365	C₂×C₄	C₂²×C₄×D₅	1	1	yes	characteristic
1366	C₂×C₄	C₂²×C₄×D₅	1	1	yes	characteristic
1367	C₂×C₄	C₂²×C₄×D₅	1	1	yes	characteristic
1368	C₂×C₄	C₂²×C₄×D₅	1	1	yes	characteristic
1369	C₂×C₄	C₂²×C₄×D₅	1	1	yes	characteristic
1370	C₂×C₄	C₂²×C₄×D₅	1	1	yes	characteristic
1371	C₂×C₄	C₂²×C₄×D₅	1	1	yes	characteristic
1372	C₂×C₄	C₂²×C₄×D₅	1	1	yes	characteristic
1373	C₂×C₄	#4144	1	2	yes	—
1374	C₂×C₄	#4150	1	2	yes	—
1375	C₂×C₄	C₂⁴×D₅	1	1	yes	characteristic
1376	C₈	—	2	2	no	—
1377	C₈	—	2	2	no	—
1378	C₈	—	2	2	no	—
1379	C₈	—	2	2	no	—
1380	C₈	—	10	2	no	—
1381	C₈	—	10	2	no	—
1382	C₈	—	10	2	no	—
1383	C₈	—	10	2	no	—
1384	C₅	#60264	1	1	yes	characteristic, complemented, Sylow
1385	C₂²	—	2	1	no	—
1386	C₂²	—	2	1	no	—
1387	C₂²	—	2	1	no	—
1388	C₂²	—	2	1	no	—
1389	C₂²	—	2	1	no	—
1390	C₂²	—	2	1	no	—
1391	C₂²	—	2	1	no	—
1392	C₂²	—	2	1	no	—
1393	C₂²	—	2	1	no	—
1394	C₂²	—	2	1	no	—
1395	C₂²	—	2	1	no	—
1396	C₂²	—	2	1	no	—
1397	C₂²	—	2	1	no	—
1398	C₂²	—	4	4	no	—
1399	C₂²	—	8	2	no	—
1400	C₂²	—	10	1	no	—
1401	C₂²	—	10	1	no	—
1402	C₂²	—	10	1	no	—
1403	C₂²	—	10	1	no	—
1404	C₂²	—	10	1	no	—
1405	C₂²	—	10	1	no	—
1406	C₂²	—	40	2	no	—
1407	C₂²	#65880	1	2	yes	—
1408	C₂²	#66079	1	2	yes	—
1409	C₂²	C₂³×C₄×D₅	1	1	yes	characteristic
1410	C₄	—	2	1	no	—
1411	C₄	—	2	1	no	—
1412	C₄	—	2	1	no	—
1413	C₄	—	2	1	no	—
1414	C₄	—	2	1	no	—
1415	C₄	—	2	1	no	—
1416	C₄	—	2	1	no	—
1417	C₄	—	2	1	no	—
1418	C₄	—	5	2	no	—
1419	C₄	—	10	1	no	—
1420	C₄	—	10	1	no	—
1421	C₄	—	10	1	no	—
1422	C₄	—	10	1	no	—
1423	C₄	—	10	1	no	—
1424	C₄	—	10	1	no	—
1425	C₄	—	10	1	no	—
1426	C₄	—	10	1	no	—
1427	C₄	—	10	1	no	—
1428	C₄	—	10	1	no	—
1429	C₄	—	10	1	no	—
1430	C₄	—	10	1	no	—
1431	C₄	—	10	1	no	—
1432	C₄	#65880	1	2	yes	—
1433	C₄	C₂×#4144	1	1	yes	characteristic
1434	C₄	C₂×#4150	1	1	yes	characteristic
1435	C₂	—	2	2	no	—
1436	C₂	—	2	2	no	—
1437	C₂	—	4	1	no	—
1438	C₂	—	4	1	no	—
1439	C₂	—	4	1	no	—
1440	C₂	—	20	1	no	—
1441	C₂	—	20	1	no	—
1442	C₂	C₂×#65880	1	1	yes	characteristic
1443	C₂	C₂×#66079	1	1	yes	characteristic
1444	C₂	D₅×#568	1	1	yes	characteristic

	subgroup	G/H
center, Frattini	C₂×C₄	C₂⁴×D₅
commutator, socle	C₂²×C₅	C₂⁴×C₄
Fitting	C₅×D₄×M₁₆	C₂
prime radical	C₂×#4085	C₄
cosocle	C₂×C₄×C₅	C₂⁵
hypercenter	D₄×M₁₆	D₅
hypocenter	C₅	#60264
LCS	G ▷ C₂²×C₅ ▷ C₅
UCS	C₁ ◁ C₂×C₄ ◁ D₄×M₁₆

Complements

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

N	H ≅ G/N	type
2. C₅×D₄×M₁₆	C₂	semidirect
3. M₁₆×C₂²⋊D₅	C₂	semidirect
4. M₁₆×C₂²⋊D₅	C₂	semidirect
5. #10615481	C₂	semidirect
6. C₂×#65407	C₂	semidirect
7. D₄×#681	C₂	semidirect
8. #10611259	C₂	semidirect
9. #10611256	C₂	semidirect
10. #10611198	C₂	semidirect
11. #10611197	C₂	semidirect
12. #10611196	C₂	semidirect
13. #10611194	C₂	semidirect
14. #10611140	C₂	semidirect
15. #10611138	C₂	semidirect
16. #10610779	C₂	semidirect
17. #10610777	C₂	semidirect
18. #10610359	C₂	semidirect
19. #10610359	C₂	semidirect
20. #10610351	C₂	semidirect
21. #10610350	C₂	semidirect
22. #10610249	C₂	semidirect
23. M₁₆×Dic₁₀	C₂	semidirect
61. C₅×#436	C₂²	semidirect
62. C₅×#435	C₂²	semidirect
63. C₅×#435	C₂²	semidirect
64. C₅×C₈×D₄	C₂²	semidirect
71. #65417	C₂²	semidirect
72. #65417	C₂²	semidirect
73. #65416	C₂²	semidirect
74. #65416	C₂²	semidirect
77. #65408	C₂²	semidirect
78. #65408	C₂²	semidirect
87. #65407	C₂²	semidirect
88. #65407	C₂²	semidirect
93. #65400	C₂²	semidirect
94. #65400	C₂²	semidirect
95. C₈×C₂²⋊D₅	C₂²	semidirect
96. C₈×C₂²⋊D₅	C₂²	semidirect
97. #65391	C₂²	semidirect
98. #65391	C₂²	semidirect
99. C₂×#3946	C₂²	semidirect
100. C₂×#3946	C₂²	semidirect
101. #65301	C₂²	semidirect
102. #65300	C₂²	semidirect
103. #65300	C₂²	semidirect
104. D₄×#168	C₂²	semidirect
107. #65128	C₂²	semidirect
108. #65128	C₂²	semidirect
109. #65128	C₂²	semidirect
110. #65128	C₂²	semidirect
111. #65120	C₂²	semidirect
112. #65119	C₂²	semidirect
113. #65117	C₂²	semidirect
114. #65117	C₂²	semidirect
115. #65019	C₂²	semidirect
116. #65019	C₂²	semidirect
117. #65018	C₂²	semidirect
118. #65018	C₂²	semidirect
119. #65017	C₂²	semidirect
120. #65017	C₂²	semidirect
121. #65014	C₂²	semidirect
122. #65014	C₂²	semidirect
123. #65009	C₂²	semidirect
124. #65009	C₂²	semidirect
125. #65009	C₂²	semidirect
126. #65009	C₂²	semidirect
127. #65008	C₂²	semidirect
128. #65008	C₂²	semidirect
129. #65007	C₂²	semidirect
130. #65007	C₂²	semidirect
131. #64998	C₂²	semidirect
132. #64998	C₂²	semidirect
133. #64990	C₂²	semidirect
134. #64990	C₂²	semidirect
135. #64979	C₂²	semidirect
136. #64979	C₂²	semidirect
137. #64968	C₂²	semidirect
138. C₈×Dic₁₀	C₂²	semidirect
381. D₄×M₁₆	D₅	semidirect
633. #436	C₂×D₅	semidirect
644. #435	C₂×D₅	semidirect
645. #435	C₂×D₅	semidirect
651. C₈×D₄	C₂×D₅	semidirect
1384. C₅	#60264	semidirect

Maximal subgroups

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

subgroup	index
C₂×#65872	2
C₅×D₄×M₁₆	2
M₁₆×C₂²⋊D₅	2
#10615481	2
C₂×#65407	2
D₄×#681	2
#10611259	2
#10611256	2
#10611198	2
#10611197	2
#10611196	2
#10611194	2
#10611140	2
#10611138	2
#10610779	2
#10610777	2
#10610359	2
#10610351	2
#10610350	2
#10610249	2
M₁₆×Dic₁₀	2
#60264	5