Subgroups — #14480780

Order 1920.

2672 conjugacy classes of subgroups.

The subgroup lattice has 2208 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	D₁₅×#126	C₂	1	1	yes	maximal, characteristic, complemented
2	C₅×#5704	C₂	1	1	yes	maximal, characteristic, complemented
3	C₃×#66038	C₂	1	1	yes	maximal, characteristic, complemented
4	#11753931	C₂	1	1	yes	maximal, characteristic, complemented
5	#11753926	C₂	1	1	yes	maximal, characteristic, complemented
6	#11753922	C₂	1	1	yes	maximal, characteristic, complemented
7	#11753918	C₂	1	1	yes	maximal, characteristic, complemented
8	#11753908	C₂	1	1	yes	maximal, characteristic, complemented
9	#11753902	C₂	1	1	yes	maximal, characteristic, complemented
10	#11753895	C₂	1	1	yes	maximal, characteristic, complemented
11	#11753867	C₂	1	1	yes	maximal, characteristic, complemented
12	#11753850	C₂	1	1	yes	maximal, characteristic, complemented
13	#11753850	C₂	1	1	yes	maximal, characteristic, complemented
14	#11753844	C₂	1	1	yes	maximal, characteristic, complemented
15	#11753840	C₂	1	1	yes	maximal, characteristic, complemented
16	#11753253	C₂	1	1	yes	maximal, characteristic, complemented
17	#11753219	C₂	1	1	yes	maximal, characteristic, complemented
18	#11753210	C₂	1	1	yes	maximal, characteristic, complemented
19	#11753207	C₂	1	1	yes	maximal, characteristic, complemented
20	#11753207	C₂	1	1	yes	maximal, characteristic, complemented
21	D₃×D₅×C₂²⋊C₄	C₂	1	1	yes	maximal, characteristic, complemented
22	#11753138	C₂	1	1	yes	maximal, characteristic, complemented
23	#11753135	C₂	1	1	yes	maximal, characteristic, complemented
24	#11753117	C₂	1	1	yes	maximal, characteristic, complemented
25	#11753104	C₂	1	1	yes	maximal, characteristic, complemented
26	#11753086	C₂	1	1	yes	maximal, characteristic, complemented
27	#11752925	C₂	1	1	yes	maximal, characteristic, complemented
28	#11752763	C₂	1	1	yes	maximal, characteristic, complemented
29	#11752755	C₂	1	1	yes	maximal, characteristic, complemented
30	#11752751	C₂	1	1	yes	maximal, characteristic, complemented
31	C₄×#6777	C₂	1	1	yes	maximal, characteristic, complemented
32	D₅×#538	—	3	1	no	maximal, Hall
33	C₂³×D₃×D₅	C₂²	1	1	yes	characteristic
34	C₂×#6790	C₂²	1	1	yes	characteristic
35	C₂×#6790	C₂²	1	1	yes	characteristic
36	C₂×#6777	C₂²	1	1	yes	characteristic
37	C₂×#6777	C₂²	1	1	yes	characteristic
38	C₂×#6777	C₂²	1	1	yes	characteristic
39	C₂×#6777	C₂²	1	1	yes	characteristic
40	C₂×#6777	C₂²	1	1	yes	characteristic, complemented
41	C₂×C₄×D₃×D₅	C₂²	1	1	yes	characteristic
42	C₂×C₄×D₃×D₅	C₂²	1	1	yes	characteristic
43	C₂×C₄×D₃×D₅	C₂²	1	1	yes	characteristic, complemented
44	C₂×C₄×D₃×D₅	C₂²	1	1	yes	characteristic, complemented
45	C₂×D₁₅⋊Q₈	C₂²	1	1	yes	characteristic, complemented
46	C₃×C₅×#126	C₂²	1	1	yes	characteristic, complemented
47	#91787	C₂²	1	1	yes	characteristic, complemented
48	#91787	C₂²	1	1	yes	characteristic, complemented
49	#91787	C₂²	1	1	yes	characteristic, complemented
50	C₄⋊C₄×D₁₅	C₂²	1	1	yes	characteristic, complemented
51	C₄⋊C₄×D₁₅	C₂²	1	1	yes	characteristic, complemented
52	C₄⋊C₄×D₁₅	C₂²	1	1	yes	characteristic, complemented
53	C₂²⋊C₄×D₁₅	C₂²	1	1	yes	characteristic
54	C₂²⋊C₄×D₁₅	C₂²	1	1	yes	characteristic
55	C₂²⋊C₄×D₁₅	C₂²	1	1	yes	characteristic
56	#91768	C₂²	1	1	yes	characteristic, complemented
57	#91768	C₂²	1	1	yes	characteristic, complemented
58	#91768	C₂²	1	1	yes	characteristic, complemented
59	#91765	C₂²	1	1	yes	characteristic, complemented
60	C₄²×D₁₅	C₂²	1	1	yes	characteristic, complemented
61	C₅×#898	C₂²	1	1	yes	characteristic, complemented
62	C₅×#896	C₂²	1	1	yes	characteristic, complemented
63	C₅×#895	C₂²	1	1	yes	characteristic, complemented
64	C₅×#895	C₂²	1	1	yes	characteristic, complemented
65	C₅×#894	C₂²	1	1	yes	characteristic, complemented
66	C₅×#893	C₂²	1	1	yes	characteristic, complemented
67	C₅×#885	C₂²	1	1	yes	characteristic, complemented
68	C₅×#884	C₂²	1	1	yes	characteristic, complemented
69	C₅×#883	C₂²	1	1	yes	characteristic, complemented
70	C₅×#882	C₂²	1	1	yes	characteristic, complemented
71	C₅×#882	C₂²	1	1	yes	characteristic, complemented
72	C₅×D₃×C₂²⋊C₄	C₂²	1	1	yes	characteristic, complemented
73	C₅×#875	C₂²	1	1	yes	characteristic, complemented
74	C₄×C₅×D₁₂	C₂²	1	1	yes	characteristic, complemented
75	C₃×#4044	C₂²	1	1	yes	characteristic, complemented
76	C₃×#4042	C₂²	1	1	yes	characteristic, complemented
77	C₃×#4041	C₂²	1	1	yes	characteristic, complemented
78	C₃×#4041	C₂²	1	1	yes	characteristic, complemented
79	C₃×#4040	C₂²	1	1	yes	characteristic, complemented
80	C₃×#4039	C₂²	1	1	yes	characteristic, complemented
81	C₃×#4031	C₂²	1	1	yes	characteristic, complemented
82	C₃×#4030	C₂²	1	1	yes	characteristic, complemented
83	C₃×#4029	C₂²	1	1	yes	characteristic, complemented
84	C₃×#4028	C₂²	1	1	yes	characteristic, complemented
85	C₃×#4028	C₂²	1	1	yes	characteristic, complemented
86	C₃×D₅×C₂²⋊C₄	C₂²	1	1	yes	characteristic, complemented
87	C₃×#4021	C₂²	1	1	yes	characteristic, complemented
88	C₃×C₄×D₂₀	C₂²	1	1	yes	characteristic, complemented
89	#91568	C₂²	1	1	yes	characteristic, complemented
90	#91568	C₂²	1	1	yes	characteristic, complemented
91	#91565	C₂²	1	1	yes	characteristic, complemented
92	#91563	C₂²	1	1	yes	characteristic, complemented
93	#91563	C₂²	1	1	yes	characteristic, complemented
94	#91561	C₂²	1	1	yes	characteristic
95	#91555	C₂²	1	1	yes	characteristic, complemented
96	D₃×C₂²⋊Dic₅	C₂²	1	1	yes	characteristic, complemented
97	#91549	C₂²	1	1	yes	characteristic, complemented
98	#91548	C₂²	1	1	yes	characteristic, complemented
99	D₅×#217	C₂²	1	1	yes	characteristic, complemented
100	#91534	C₂²	1	1	yes	characteristic, complemented
101	#91525	C₂²	1	1	yes	characteristic, complemented
102	#91475	C₂²	1	1	yes	characteristic, complemented
103	#91475	C₂²	1	1	yes	characteristic, complemented
104	#91475	C₂²	1	1	yes	characteristic, complemented
105	#91475	C₂²	1	1	yes	characteristic, complemented
106	#91474	C₂²	1	1	yes	characteristic, complemented
107	#91474	C₂²	1	1	yes	characteristic, complemented
108	#91474	C₂²	1	1	yes	characteristic, complemented
109	#91474	C₂²	1	1	yes	characteristic, complemented
110	#91473	C₂²	1	1	yes	characteristic
111	#91473	C₂²	1	1	yes	characteristic
112	#91473	C₂²	1	1	yes	characteristic
113	#91473	C₂²	1	1	yes	characteristic
114	#91473	C₂²	1	1	yes	characteristic
115	#91473	C₂²	1	1	yes	characteristic
116	#91473	C₂²	1	1	yes	characteristic, complemented
117	#91473	C₂²	1	1	yes	characteristic, complemented
118	#91473	C₂²	1	1	yes	characteristic, complemented
119	#91473	C₂²	1	1	yes	characteristic, complemented
120	D₃×#685	C₂²	1	1	yes	characteristic, complemented
121	D₃×#685	C₂²	1	1	yes	characteristic, complemented
122	D₅×(C₂×D₃)⋊C₄	C₂²	1	1	yes	characteristic, complemented
123	D₅×(C₂×D₃)⋊C₄	C₂²	1	1	yes	characteristic, complemented
124	#91464	C₂²	1	1	yes	characteristic, complemented
125	#91464	C₂²	1	1	yes	characteristic, complemented
126	#91464	C₂²	1	1	yes	characteristic, complemented
127	#91464	C₂²	1	1	yes	characteristic, complemented
128	#91457	C₂²	1	1	yes	characteristic, complemented
129	#91456	C₂²	1	1	yes	characteristic, complemented
130	#91456	C₂²	1	1	yes	characteristic, complemented
131	#91455	C₂²	1	1	yes	characteristic, complemented
132	#91454	C₂²	1	1	yes	characteristic, complemented
133	#91453	C₂²	1	1	yes	characteristic, complemented
134	#91453	C₂²	1	1	yes	characteristic, complemented
135	#91453	C₂²	1	1	yes	characteristic, complemented
136	#91453	C₂²	1	1	yes	characteristic, complemented
137	#91452	C₂²	1	1	yes	characteristic, complemented
138	#91449	C₂²	1	1	yes	characteristic, complemented
139	#91449	C₂²	1	1	yes	characteristic, complemented
140	#91448	C₂²	1	1	yes	characteristic, complemented
141	#91447	C₂²	1	1	yes	characteristic, complemented
142	#91442	C₂²	1	1	yes	characteristic, complemented
143	#91442	C₂²	1	1	yes	characteristic, complemented
144	#91441	C₂²	1	1	yes	characteristic, complemented
145	#91441	C₂²	1	1	yes	characteristic, complemented
146	#91440	C₂²	1	1	yes	characteristic, complemented
147	#91440	C₂²	1	1	yes	characteristic, complemented
148	C₄×#1201	C₂²	1	1	yes	characteristic, complemented
149	C₄×#1201	C₂²	1	1	yes	characteristic, complemented
150	#91437	C₂²	1	1	yes	characteristic, complemented
151	#91435	C₂²	1	1	yes	characteristic, complemented
152	#91434	C₂²	1	1	yes	characteristic, complemented
153	#91427	C₂²	1	1	yes	characteristic, complemented
154	Dic₃×D₂₀	C₂²	1	1	yes	characteristic, complemented
155	#91423	C₂²	1	1	yes	characteristic, complemented
156	#91422	C₂²	1	1	yes	characteristic, complemented
157	#91421	C₂²	1	1	yes	characteristic, complemented
158	#91417	C₂²	1	1	yes	characteristic, complemented
159	#91416	C₂²	1	1	yes	characteristic, complemented
160	Dic₅×D₁₂	C₂²	1	1	yes	characteristic, complemented
161	#91414	C₂²	1	1	yes	characteristic, complemented
162	#91413	C₂²	1	1	yes	characteristic, complemented
163	#91410	C₂²	1	1	yes	characteristic, complemented
164	#91409	C₂²	1	1	yes	characteristic, complemented
165	#91408	C₂²	1	1	yes	characteristic, complemented
166	#91408	C₂²	1	1	yes	characteristic, complemented
167	#91408	C₂²	1	1	yes	characteristic, complemented
168	#91408	C₂²	1	1	yes	characteristic, complemented
169	#91407	C₂²	1	1	yes	characteristic, complemented
170	#91404	C₂²	1	1	yes	characteristic, complemented
171	#91404	C₂²	1	1	yes	characteristic, complemented
172	C₄×#1200	C₂²	1	1	yes	characteristic, complemented
173	#91372	C₂²	1	1	yes	characteristic, complemented
174	#91370	C₂²	1	1	yes	characteristic, complemented
175	#91368	C₂²	1	1	yes	characteristic, complemented
176	#91363	C₂²	1	1	yes	characteristic, complemented
177	#91362	C₂²	1	1	yes	characteristic, complemented
178	#91361	C₂²	1	1	yes	characteristic, complemented
179	#91353	C₂²	1	1	yes	characteristic, complemented
180	#91352	C₂²	1	1	yes	characteristic, complemented
181	#91351	C₂²	1	1	yes	characteristic, complemented
182	#91350	C₂²	1	1	yes	characteristic, complemented
183	#91349	C₂²	1	1	yes	characteristic, complemented
184	#91348	C₂²	1	1	yes	characteristic, complemented
185	#91342	C₂²	1	1	yes	characteristic, complemented
186	#91341	C₂²	1	1	yes	characteristic, complemented
187	#91326	C₂²	1	1	yes	characteristic, complemented
188	D₃×#538	—	5	1	no	maximal, Hall
189	C₅×#538	—	3	1	no	—
190	#66038	—	3	1	no	—
191	#66038	D₃	1	1	yes	characteristic, complemented
192	D₅×#126	—	3	1	no	—
193	D₅×#126	—	3	1	no	—
194	#66012	—	3	1	no	—
195	#66012	—	3	1	no	—
196	D₅×#124	—	3	1	no	—
197	D₅×#124	—	3	1	no	—
198	#65991	—	3	1	no	—
199	#65991	—	3	1	no	—
200	D₅×#123	—	3	1	no	—
201	D₅×#123	—	3	1	no	—
202	#65978	—	3	1	no	—
203	D₅×C₂²⋊Q₈	—	3	1	no	—
204	#65951	—	3	1	no	—
205	#65947	—	3	1	no	—
206	#65947	—	3	1	no	—
207	D₅×#121	—	3	1	no	—
208	D₅×#121	—	3	1	no	—
209	D₅×#121	—	3	1	no	—
210	#65927	—	3	1	no	—
211	#65927	—	3	1	no	—
212	D₅×#120	—	3	1	no	—
213	D₅×#120	—	3	1	no	—
214	#65894	—	3	1	no	—
215	#65894	—	3	1	no	—
216	C₄×D₄×D₅	—	3	1	no	—
217	C₄×D₄×D₅	—	3	1	no	—
218	#65828	—	3	1	no	—
219	C₂×D₅×C₂²⋊C₄	—	3	1	no	—
220	C₂³×D₁₅	C₂³	1	1	yes	characteristic
221	C₂³×C₅×D₃	C₂³	1	1	yes	characteristic
222	C₂³×C₃×D₅	C₂³	1	1	yes	characteristic
223	C₂²×D₃×D₅	—	2	4	no	—
224	C₂²×D₃×D₅	—	4	2	no	—
225	C₂²×D₃×D₅	—	4	2	no	—
226	C₂²×D₃×D₅	C₂³	1	1	yes	characteristic
227	C₂²×D₃×D₅	C₂³	1	1	yes	characteristic
228	C₂²×D₃×D₅	C₂³	1	1	yes	characteristic
229	C₂²×D₃×D₅	C₂³	1	1	yes	characteristic
230	C₂²×D₃×D₅	C₂³	1	1	yes	characteristic
231	C₂²×D₃×D₅	C₂³	1	1	yes	characteristic
232	C₂×C₄×D₁₅	C₂³	1	1	yes	characteristic
233	C₂×C₄×D₁₅	C₂³	1	1	yes	characteristic
234	C₂×C₄×D₁₅	C₂³	1	1	yes	characteristic
235	C₂×C₄×D₁₅	C₂³	1	1	yes	characteristic
236	C₂×C₄×D₁₅	C₂³	1	1	yes	characteristic
237	C₂×C₄×D₁₅	C₂³	1	1	yes	characteristic
238	C₂×C₅×#67	C₂³	1	1	yes	characteristic
239	C₂×C₅×#67	C₂³	1	1	yes	characteristic
240	C₂×C₅×D₁₂	C₂³	1	1	yes	characteristic
241	C₂×C₅×D₁₂	C₂³	1	1	yes	characteristic
242	C₂×C₅×D₁₂	C₂³	1	1	yes	characteristic
243	C₂×C₅×D₁₂	C₂³	1	1	yes	characteristic
244	C₂×C₅×D₁₂	C₂³	1	1	yes	characteristic, complemented
245	C₂×C₄×C₅×D₃	C₂³	1	1	yes	characteristic
246	C₂×C₄×C₅×D₃	C₂³	1	1	yes	characteristic
247	C₂×C₄×C₅×D₃	C₂³	1	1	yes	characteristic, complemented
248	C₂×C₄×C₅×D₃	C₂³	1	1	yes	characteristic, complemented
249	C₂×C₅×Dic₆	C₂³	1	1	yes	characteristic, complemented
250	C₂×C₃×C₂²⋊D₅	C₂³	1	1	yes	characteristic
251	C₂×C₃×C₂²⋊D₅	C₂³	1	1	yes	characteristic
252	C₂×C₃×D₂₀	C₂³	1	1	yes	characteristic
253	C₂×C₃×D₂₀	C₂³	1	1	yes	characteristic
254	C₂×C₃×D₂₀	C₂³	1	1	yes	characteristic
255	C₂×C₃×D₂₀	C₂³	1	1	yes	characteristic
256	C₂×C₃×D₂₀	C₂³	1	1	yes	characteristic, complemented
257	C₂×C₃×C₄×D₅	C₂³	1	1	yes	characteristic
258	C₂×C₃×C₄×D₅	C₂³	1	1	yes	characteristic
259	C₂×C₃×C₄×D₅	C₂³	1	1	yes	characteristic, complemented
260	C₂×C₃×C₄×D₅	C₂³	1	1	yes	characteristic, complemented
261	C₂×C₃×Dic₁₀	C₂³	1	1	yes	characteristic, complemented
262	#6790	—	4	2	no	—
263	#6790	—	4	2	no	—
264	C₂×#1204	C₂³	1	1	yes	characteristic, complemented
265	C₂×#1204	C₂³	1	1	yes	characteristic, complemented
266	C₂×#1203	C₂³	1	1	yes	characteristic
267	C₂×#1203	C₂³	1	1	yes	characteristic
268	C₂×#1202	C₂³	1	1	yes	characteristic
269	C₂×#1202	C₂³	1	1	yes	characteristic
270	C₂×#1201	C₂³	1	1	yes	characteristic
271	C₂×#1201	C₂³	1	1	yes	characteristic
272	C₂×#1201	C₂³	1	1	yes	characteristic
273	C₂×#1201	C₂³	1	1	yes	characteristic
274	C₂×#1201	C₂³	1	1	yes	characteristic
275	C₂×#1201	C₂³	1	1	yes	characteristic
276	C₂×#1201	C₂³	1	1	yes	characteristic
277	C₂×#1201	C₂³	1	1	yes	characteristic
278	C₂×#1201	C₂³	1	1	yes	characteristic, complemented
279	C₂×#1201	C₂³	1	1	yes	characteristic, complemented
280	C₂×#1200	C₂³	1	1	yes	characteristic
281	C₂×#1200	C₂³	1	1	yes	characteristic
282	C₂×#1200	C₂³	1	1	yes	characteristic
283	C₂×#1200	C₂³	1	1	yes	characteristic
284	C₂×D₃×Dic₅	C₂³	1	1	yes	characteristic
285	C₂×D₃×Dic₅	C₂³	1	1	yes	characteristic
286	C₂×D₃×Dic₅	C₂³	1	1	yes	characteristic, complemented
287	C₂×D₃×Dic₅	C₂³	1	1	yes	characteristic, complemented
288	C₂×D₅×Dic₃	C₂³	1	1	yes	characteristic
289	C₂×D₅×Dic₃	C₂³	1	1	yes	characteristic
290	C₂×D₅×Dic₃	C₂³	1	1	yes	characteristic, complemented
291	C₂×D₅×Dic₃	C₂³	1	1	yes	characteristic, complemented
292	#6777	—	2	4	no	—
293	#6777	—	2	4	no	—
294	#6777	—	4	2	no	—
295	#6777	—	4	2	no	—
296	#6777	—	4	2	no	—
297	C₄×D₃×D₅	—	4	2	no	—
298	C₄×D₃×D₅	—	4	2	no	—
299	C₄×D₃×D₅	—	4	2	no	—
300	C₄×D₃×D₅	—	4	2	no	—
301	D₁₅⋊Q₈	—	4	2	no	—
302	C₃×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic, complemented
303	C₃×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic, complemented
304	C₃×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic, complemented
305	C₃×C₅×C₂²⋊C₄	C₂³	1	1	yes	characteristic
306	C₃×C₅×C₂²⋊C₄	C₂³	1	1	yes	characteristic
307	C₃×C₅×C₂²⋊C₄	C₂³	1	1	yes	characteristic
308	C₃×C₄²×C₅	C₂³	1	1	yes	characteristic, complemented
309	#6719	C₂³	1	1	yes	characteristic
310	#6719	C₂³	1	1	yes	characteristic
311	#6719	C₂³	1	1	yes	characteristic
312	#6714	C₂³	1	1	yes	characteristic
313	#6714	C₂³	1	1	yes	characteristic
314	#6714	C₂³	1	1	yes	characteristic
315	#6714	C₂³	1	1	yes	characteristic
316	#6714	C₂³	1	1	yes	characteristic
317	#6714	C₂³	1	1	yes	characteristic
318	C₄⋊Dic₁₅	C₂³	1	1	yes	characteristic, complemented
319	C₄⋊Dic₁₅	C₂³	1	1	yes	characteristic, complemented
320	C₄⋊Dic₁₅	C₂³	1	1	yes	characteristic, complemented
321	#6712	C₂³	1	1	yes	characteristic, complemented
322	#6712	C₂³	1	1	yes	characteristic, complemented
323	#6712	C₂³	1	1	yes	characteristic, complemented
324	#6712	C₂³	1	1	yes	characteristic, complemented
325	#6712	C₂³	1	1	yes	characteristic, complemented
326	#6712	C₂³	1	1	yes	characteristic, complemented
327	C₄×Dic₁₅	C₂³	1	1	yes	characteristic, complemented
328	C₄×Dic₁₅	C₂³	1	1	yes	characteristic, complemented
329	C₄×Dic₁₅	C₂³	1	1	yes	characteristic, complemented
330	C₅×#217	C₂³	1	1	yes	characteristic
331	C₅×(C₂×D₃)⋊C₄	C₂³	1	1	yes	characteristic
332	C₅×(C₂×D₃)⋊C₄	C₂³	1	1	yes	characteristic
333	C₅×(C₂×D₃)⋊C₄	C₂³	1	1	yes	characteristic
334	C₅×(C₂×D₃)⋊C₄	C₂³	1	1	yes	characteristic
335	C₅×(C₂×D₃)⋊C₄	C₂³	1	1	yes	characteristic
336	C₅×(C₂×D₃)⋊C₄	C₂³	1	1	yes	characteristic
337	C₅×(C₂×D₃)⋊C₄	C₂³	1	1	yes	characteristic, complemented
338	C₅×(C₂×D₃)⋊C₄	C₂³	1	1	yes	characteristic, complemented
339	C₅×(C₂×D₃)⋊C₄	C₂³	1	1	yes	characteristic, complemented
340	C₅×(C₂×D₃)⋊C₄	C₂³	1	1	yes	characteristic, complemented
341	C₅×C₄⋊Dic₃	C₂³	1	1	yes	characteristic, complemented
342	C₅×Dic₃⋊C₄	C₂³	1	1	yes	characteristic, complemented
343	C₅×Dic₃⋊C₄	C₂³	1	1	yes	characteristic, complemented
344	C₄×C₅×Dic₃	C₂³	1	1	yes	characteristic, complemented
345	C₃×C₂²⋊Dic₅	C₂³	1	1	yes	characteristic
346	C₃×#685	C₂³	1	1	yes	characteristic
347	C₃×#685	C₂³	1	1	yes	characteristic
348	C₃×#685	C₂³	1	1	yes	characteristic
349	C₃×#685	C₂³	1	1	yes	characteristic
350	C₃×#685	C₂³	1	1	yes	characteristic
351	C₃×#685	C₂³	1	1	yes	characteristic
352	C₃×#685	C₂³	1	1	yes	characteristic, complemented
353	C₃×#685	C₂³	1	1	yes	characteristic, complemented
354	C₃×#685	C₂³	1	1	yes	characteristic, complemented
355	C₃×#685	C₂³	1	1	yes	characteristic, complemented
356	C₃×C₄⋊Dic₅	C₂³	1	1	yes	characteristic, complemented
357	C₃×#683	C₂³	1	1	yes	characteristic, complemented
358	C₃×#683	C₂³	1	1	yes	characteristic, complemented
359	C₃×C₄×Dic₅	C₂³	1	1	yes	characteristic, complemented
360	Dic₃⋊Dic₅	C₂³	1	1	yes	characteristic, complemented
361	Dic₃⋊Dic₅	C₂³	1	1	yes	characteristic, complemented
362	#6669	C₂³	1	1	yes	characteristic, complemented
363	#6669	C₂³	1	1	yes	characteristic, complemented
364	#6668	C₂³	1	1	yes	characteristic, complemented
365	#6668	C₂³	1	1	yes	characteristic, complemented
366	#6667	C₂³	1	1	yes	characteristic
367	#6667	C₂³	1	1	yes	characteristic
368	(C₂×D₃)⋊Dic₅	C₂³	1	1	yes	characteristic
369	(C₂×D₃)⋊Dic₅	C₂³	1	1	yes	characteristic
370	(C₂×D₃)⋊Dic₅	C₂³	1	1	yes	characteristic
371	(C₂×D₃)⋊Dic₅	C₂³	1	1	yes	characteristic
372	(C₂×D₃)⋊Dic₅	C₂³	1	1	yes	characteristic
373	(C₂×D₃)⋊Dic₅	C₂³	1	1	yes	characteristic
374	(C₂×D₃)⋊Dic₅	C₂³	1	1	yes	characteristic, complemented
375	(C₂×D₃)⋊Dic₅	C₂³	1	1	yes	characteristic, complemented
376	(C₂×D₃)⋊Dic₅	C₂³	1	1	yes	characteristic, complemented
377	(C₂×D₃)⋊Dic₅	C₂³	1	1	yes	characteristic, complemented
378	#6665	C₂³	1	1	yes	characteristic
379	#6665	C₂³	1	1	yes	characteristic
380	#6665	C₂³	1	1	yes	characteristic
381	#6665	C₂³	1	1	yes	characteristic
382	#6665	C₂³	1	1	yes	characteristic
383	#6665	C₂³	1	1	yes	characteristic
384	#6665	C₂³	1	1	yes	characteristic, complemented
385	#6665	C₂³	1	1	yes	characteristic, complemented
386	#6665	C₂³	1	1	yes	characteristic, complemented
387	#6665	C₂³	1	1	yes	characteristic, complemented
388	Dic₃×Dic₅	C₂³	1	1	yes	characteristic, complemented
389	Dic₃×Dic₅	C₂³	1	1	yes	characteristic, complemented
390	C₃×#538	—	5	1	no	—
391	#5704	—	5	1	no	—
392	#5704	D₅	1	1	yes	characteristic, complemented
393	D₃×#126	—	5	1	no	—
394	D₃×#126	—	5	1	no	—
395	#5678	—	5	1	no	—
396	#5678	—	5	1	no	—
397	D₃×#124	—	5	1	no	—
398	D₃×#124	—	5	1	no	—
399	#5657	—	5	1	no	—
400	#5657	—	5	1	no	—
401	D₃×#123	—	5	1	no	—
402	D₃×#123	—	5	1	no	—
403	#5644	—	5	1	no	—
404	D₃×C₂²⋊Q₈	—	5	1	no	—
405	#5617	—	5	1	no	—
406	#5613	—	5	1	no	—
407	#5613	—	5	1	no	—
408	D₃×#121	—	5	1	no	—
409	D₃×#121	—	5	1	no	—
410	D₃×#121	—	5	1	no	—
411	#5593	—	5	1	no	—
412	#5593	—	5	1	no	—
413	D₃×#120	—	5	1	no	—
414	D₃×#120	—	5	1	no	—
415	#5560	—	5	1	no	—
416	#5560	—	5	1	no	—
417	C₄×D₃×D₄	—	5	1	no	—
418	C₄×D₃×D₄	—	5	1	no	—
419	#5494	—	5	1	no	—
420	C₂×D₃×C₂²⋊C₄	—	5	1	no	—
421	C₂⁴×D₅	—	3	1	no	—
422	C₂×Q₈×D₅	—	3	1	no	—
423	C₂×D₄×D₅	—	3	1	no	—
424	C₂×D₄×D₅	—	3	1	no	—
425	C₂×D₄×D₅	—	3	1	no	—
426	C₂×D₄×D₅	—	3	1	no	—
427	C₂×D₄×D₅	—	3	1	no	—
428	C₂×D₄×D₅	—	3	1	no	—
429	C₂×D₄×D₅	—	3	1	no	—
430	C₂²×C₄×D₅	—	3	1	no	—
431	C₂²×C₄×D₅	—	3	1	no	—
432	C₂²×C₄×D₅	—	3	1	no	—
433	C₂²×C₄×D₅	—	3	1	no	—
434	C₅×#126	—	3	1	no	—
435	C₅×#126	C₂×D₃	1	1	yes	characteristic, complemented
436	C₅×#124	—	3	1	no	—
437	C₅×#124	—	3	1	no	—
438	C₅×#123	—	3	1	no	—
439	C₅×#123	—	3	1	no	—
440	C₅×C₂²⋊Q₈	—	3	1	no	—
441	C₅×#121	—	3	1	no	—
442	C₅×#121	—	3	1	no	—
443	C₅×#121	—	3	1	no	—
444	C₅×#120	—	3	1	no	—
445	C₅×#120	—	3	1	no	—
446	C₄×C₅×D₄	—	3	1	no	—
447	C₄×C₅×D₄	—	3	1	no	—
448	C₂×C₅×C₂²⋊C₄	—	3	1	no	—
449	#4099	—	3	1	no	—
450	#4099	—	3	1	no	—
451	C₂×C₂²⋊Dic₅	—	3	1	no	—
452	#4093	—	3	1	no	—
453	#4093	—	3	1	no	—
454	#4092	—	3	1	no	—
455	#4085	—	3	1	no	—
456	#4085	—	3	1	no	—
457	#4085	—	3	1	no	—
458	#4085	—	3	1	no	—
459	#4085	—	3	1	no	—
460	#4085	—	3	1	no	—
461	#4084	—	3	1	no	—
462	#4084	—	3	1	no	—
463	#4084	—	3	1	no	—
464	#4083	—	3	1	no	—
465	#4083	—	3	1	no	—
466	#4083	—	3	1	no	—
467	#4083	—	3	1	no	—
468	#4083	—	3	1	no	—
469	#4083	—	3	1	no	—
470	#4082	—	3	1	no	—
471	#4082	—	3	1	no	—
472	#4081	—	3	1	no	—
473	#4081	—	3	1	no	—
474	D₄×Dic₅	—	3	1	no	—
475	D₄×Dic₅	—	3	1	no	—
476	#4076	—	3	1	no	—
477	#4076	—	3	1	no	—
478	#4076	—	3	1	no	—
479	#4075	—	3	1	no	—
480	#4075	—	3	1	no	—
481	C₄×C₂²⋊D₅	—	3	1	no	—
482	C₄×C₂²⋊D₅	—	3	1	no	—
483	C₄×C₂²⋊D₅	—	3	1	no	—
484	C₄×C₂²⋊D₅	—	3	1	no	—
485	C₂×#685	—	3	1	no	—
486	C₂×#685	—	3	1	no	—
487	#4070	—	3	1	no	—
488	#4044	—	3	1	no	—
489	#4044	—	3	1	no	—
490	#4044	—	3	1	no	—
491	#4044	—	3	1	no	—
492	#4044	—	3	1	no	—
493	#4044	C₂×D₃	1	1	yes	characteristic, complemented
494	#4043	—	3	1	no	—
495	#4042	—	3	1	no	—
496	#4042	C₂×D₃	1	1	yes	characteristic, complemented
497	#4041	—	3	1	no	—
498	#4041	C₂×D₃	1	1	yes	characteristic, complemented
499	#4041	C₂×D₃	1	1	yes	characteristic, complemented
500	#4040	—	3	1	no	—
501	#4040	—	3	1	no	—
502	#4040	—	3	1	no	—
503	#4040	C₂×D₃	1	1	yes	characteristic, complemented
504	#4039	—	3	1	no	—
505	#4039	C₂×D₃	1	1	yes	characteristic, complemented
506	D₅×C₄⋊C₄	—	3	1	no	—
507	D₅×C₄⋊C₄	—	3	1	no	—
508	D₅×C₄⋊C₄	—	3	1	no	—
509	D₅×C₄⋊C₄	—	3	1	no	—
510	D₅×C₄⋊C₄	—	3	1	no	—
511	D₅×C₄⋊C₄	—	3	1	no	—
512	#4032	—	3	1	no	—
513	#4032	—	3	1	no	—
514	#4031	—	3	1	no	—
515	#4031	—	3	1	no	—
516	#4031	—	3	1	no	—
517	#4031	—	3	1	no	—
518	#4031	—	3	1	no	—
519	#4031	—	3	1	no	—
520	#4031	—	3	1	no	—
521	#4031	C₂×D₃	1	1	yes	characteristic, complemented
522	#4030	—	3	1	no	—
523	#4030	—	3	1	no	—
524	#4030	—	3	1	no	—
525	#4030	—	3	1	no	—
526	#4030	—	3	1	no	—
527	#4030	C₂×D₃	1	1	yes	characteristic, complemented
528	#4029	—	3	1	no	—
529	#4029	—	3	1	no	—
530	#4029	—	3	1	no	—
531	#4029	C₂×D₃	1	1	yes	characteristic, complemented
532	#4028	—	3	1	no	—
533	#4028	—	3	1	no	—
534	#4028	—	3	1	no	—
535	#4028	—	3	1	no	—
536	#4028	C₂×D₃	1	1	yes	characteristic, complemented
537	#4028	C₂×D₃	1	1	yes	characteristic, complemented
538	#4027	—	3	1	no	—
539	#4027	—	3	1	no	—
540	#4027	—	3	1	no	—
541	#4027	—	3	1	no	—
542	D₅×C₂²⋊C₄	—	3	1	no	—
543	D₅×C₂²⋊C₄	—	3	1	no	—
544	D₅×C₂²⋊C₄	—	3	1	no	—
545	D₅×C₂²⋊C₄	—	3	1	no	—
546	D₅×C₂²⋊C₄	—	3	1	no	—
547	D₅×C₂²⋊C₄	—	3	1	no	—
548	D₅×C₂²⋊C₄	—	3	1	no	—
549	D₅×C₂²⋊C₄	—	3	1	no	—
550	D₅×C₂²⋊C₄	—	3	1	no	—
551	D₅×C₂²⋊C₄	—	3	1	no	—
552	D₅×C₂²⋊C₄	—	3	1	no	—
553	D₅×C₂²⋊C₄	—	3	1	no	—
554	D₅×C₂²⋊C₄	—	3	1	no	—
555	D₅×C₂²⋊C₄	—	3	1	no	—
556	D₅×C₂²⋊C₄	—	3	1	no	—
557	D₅×C₂²⋊C₄	—	3	1	no	—
558	D₅×C₂²⋊C₄	—	3	1	no	—
559	D₅×C₂²⋊C₄	C₂×D₃	1	1	yes	characteristic, complemented
560	#4025	—	3	1	no	—
561	#4025	—	3	1	no	—
562	#4025	—	3	1	no	—
563	#4025	—	3	1	no	—
564	#4025	—	3	1	no	—
565	#4025	—	3	1	no	—
566	#4024	—	3	1	no	—
567	#4024	—	3	1	no	—
568	#4022	—	3	1	no	—
569	#4022	—	3	1	no	—
570	#4021	—	3	1	no	—
571	#4021	C₂×D₃	1	1	yes	characteristic, complemented
572	C₄×D₂₀	—	3	1	no	—
573	C₄×D₂₀	C₂×D₃	1	1	yes	characteristic, complemented
574	C₄²×D₅	—	3	1	no	—
575	C₄²×D₅	—	3	1	no	—
576	C₂×#538	—	15	1	no	Sylow
577	C₂³×C₃×C₅	C₂⁴	1	1	yes	characteristic
578	C₂²×D₁₅	—	2	2	no	—
579	C₂²×D₁₅	—	2	2	no	—
580	C₂²×D₁₅	—	2	2	no	—
581	C₂²×D₁₅	C₂⁴	1	1	yes	characteristic
582	C₂²×D₁₅	C₂⁴	1	1	yes	characteristic
583	C₂²×C₅×D₃	—	2	2	no	—
584	C₂²×C₅×D₃	—	4	1	no	—
585	C₂²×C₅×D₃	—	4	1	no	—
586	C₂²×C₅×D₃	C₂⁴	1	1	yes	characteristic
587	C₂²×C₅×D₃	C₂⁴	1	1	yes	characteristic
588	C₂²×C₅×D₃	C₂⁴	1	1	yes	characteristic
589	C₂²×C₅×D₃	C₂⁴	1	1	yes	characteristic
590	C₂²×C₃×D₅	—	2	2	no	—
591	C₂²×C₃×D₅	—	4	1	no	—
592	C₂²×C₃×D₅	—	4	1	no	—
593	C₂²×C₃×D₅	C₂⁴	1	1	yes	characteristic
594	C₂²×C₃×D₅	C₂⁴	1	1	yes	characteristic
595	C₂²×C₃×D₅	C₂⁴	1	1	yes	characteristic
596	C₂²×C₃×D₅	C₂⁴	1	1	yes	characteristic
597	C₂×D₃×D₅	—	2	2	no	—
598	C₂×D₃×D₅	—	2	2	no	—
599	C₂×D₃×D₅	—	2	2	no	—
600	C₂×D₃×D₅	—	2	2	no	—
601	C₂×D₃×D₅	—	2	2	no	—
602	C₂×D₃×D₅	—	2	2	no	—
603	C₂×D₃×D₅	—	2	2	no	—
604	C₂×D₃×D₅	—	2	2	no	—
605	C₂×D₃×D₅	—	2	2	no	—
606	C₂×D₃×D₅	—	2	2	no	—
607	C₂×D₃×D₅	—	2	2	no	—
608	C₂×D₃×D₅	—	2	2	no	—
609	C₂×D₃×D₅	—	2	2	no	—
610	C₂×D₃×D₅	—	4	16	no	—
611	C₂×D₃×D₅	—	4	1	no	—
612	C₂×D₃×D₅	—	4	1	no	—
613	C₂×D₃×D₅	—	4	1	no	—
614	C₂×D₃×D₅	—	4	1	no	—
615	C₂×D₃×D₅	#41	1	4	yes	—
616	C₂×C₃×C₄×C₅	C₂⁴	1	1	yes	characteristic
617	C₂×C₃×C₄×C₅	C₂⁴	1	1	yes	characteristic
618	C₂×C₃×C₄×C₅	C₂⁴	1	1	yes	characteristic
619	C₂×C₃×C₄×C₅	C₂⁴	1	1	yes	characteristic
620	C₂×C₃×C₄×C₅	C₂⁴	1	1	yes	characteristic
621	C₂×C₃×C₄×C₅	C₂⁴	1	1	yes	characteristic
622	C₂×Dic₁₅	C₂⁴	1	1	yes	characteristic
623	C₂×Dic₁₅	C₂⁴	1	1	yes	characteristic
624	C₂×Dic₁₅	C₂⁴	1	1	yes	characteristic
625	C₂×Dic₁₅	C₂⁴	1	1	yes	characteristic
626	C₂×Dic₁₅	C₂⁴	1	1	yes	characteristic
627	C₂×Dic₁₅	C₂⁴	1	1	yes	characteristic
628	C₄×D₁₅	—	2	2	no	—
629	C₄×D₁₅	—	2	2	no	—
630	C₄×D₁₅	—	2	2	no	—
631	C₄×D₁₅	—	2	2	no	—
632	C₄×D₁₅	—	2	2	no	—
633	C₄×D₁₅	—	2	2	no	—
634	C₅×#67	—	4	1	no	—
635	C₅×#67	—	4	1	no	—
636	C₂×C₅×Dic₃	C₂⁴	1	1	yes	characteristic
637	C₂×C₅×Dic₃	C₂⁴	1	1	yes	characteristic
638	C₂×C₅×Dic₃	C₂⁴	1	1	yes	characteristic
639	C₂×C₅×Dic₃	C₂⁴	1	1	yes	characteristic
640	C₅×D₁₂	—	2	2	no	—
641	C₅×D₁₂	—	2	2	no	—
642	C₅×D₁₂	—	4	1	no	—
643	C₅×D₁₂	—	4	1	no	—
644	C₅×D₁₂	—	4	1	no	—
645	C₄×C₅×D₃	—	4	1	no	—
646	C₄×C₅×D₃	—	4	1	no	—
647	C₄×C₅×D₃	—	4	1	no	—
648	C₄×C₅×D₃	—	4	1	no	—
649	C₅×Dic₆	—	4	1	no	—
650	C₃×C₂²⋊D₅	—	4	1	no	—
651	C₃×C₂²⋊D₅	—	4	1	no	—
652	C₂×C₃×Dic₅	C₂⁴	1	1	yes	characteristic
653	C₂×C₃×Dic₅	C₂⁴	1	1	yes	characteristic
654	C₂×C₃×Dic₅	C₂⁴	1	1	yes	characteristic
655	C₂×C₃×Dic₅	C₂⁴	1	1	yes	characteristic
656	C₃×D₂₀	—	2	2	no	—
657	C₃×D₂₀	—	2	2	no	—
658	C₃×D₂₀	—	4	1	no	—
659	C₃×D₂₀	—	4	1	no	—
660	C₃×D₂₀	—	4	1	no	—
661	C₃×C₄×D₅	—	4	1	no	—
662	C₃×C₄×D₅	—	4	1	no	—
663	C₃×C₄×D₅	—	4	1	no	—
664	C₃×C₄×D₅	—	4	1	no	—
665	C₃×Dic₁₀	—	4	1	no	—
666	#1204	—	4	1	no	—
667	#1204	—	4	1	no	—
668	#1203	—	4	1	no	—
669	#1203	—	4	1	no	—
670	#1202	—	4	1	no	—
671	#1202	—	4	1	no	—
672	#1201	—	2	2	no	—
673	#1201	—	2	2	no	—
674	#1201	—	2	2	no	—
675	#1201	—	2	2	no	—
676	#1201	—	4	1	no	—
677	#1201	—	4	1	no	—
678	#1201	—	4	1	no	—
679	#1201	—	4	1	no	—
680	#1201	—	4	1	no	—
681	#1201	—	4	1	no	—
682	#1200	—	2	2	no	—
683	#1200	—	2	2	no	—
684	#1200	—	2	2	no	—
685	#1200	—	2	2	no	—
686	D₃×Dic₅	—	4	1	no	—
687	D₃×Dic₅	—	4	1	no	—
688	D₃×Dic₅	—	4	1	no	—
689	D₃×Dic₅	—	4	1	no	—
690	D₅×Dic₃	—	4	1	no	—
691	D₅×Dic₃	—	4	1	no	—
692	D₅×Dic₃	—	4	1	no	—
693	D₅×Dic₃	—	4	1	no	—
694	C₂⁴×D₃	—	5	1	no	—
695	C₂×D₃×Q₈	—	5	1	no	—
696	C₂×D₃×D₄	—	5	1	no	—
697	C₂×D₃×D₄	—	5	1	no	—
698	C₂×D₃×D₄	—	5	1	no	—
699	C₂×D₃×D₄	—	5	1	no	—
700	C₂×D₃×D₄	—	5	1	no	—
701	C₂×D₃×D₄	—	5	1	no	—
702	C₂×D₃×D₄	—	5	1	no	—
703	C₂²×C₄×D₃	—	5	1	no	—
704	C₂²×C₄×D₃	—	5	1	no	—
705	C₂²×C₄×D₃	—	5	1	no	—
706	C₂²×C₄×D₃	—	5	1	no	—
707	C₃×#126	—	5	1	no	—
708	C₃×#126	C₂×D₅	1	1	yes	characteristic, complemented
709	C₃×#124	—	5	1	no	—
710	C₃×#124	—	5	1	no	—
711	C₃×#123	—	5	1	no	—
712	C₃×#123	—	5	1	no	—
713	C₃×C₂²⋊Q₈	—	5	1	no	—
714	C₃×#121	—	5	1	no	—
715	C₃×#121	—	5	1	no	—
716	C₃×#121	—	5	1	no	—
717	C₃×#120	—	5	1	no	—
718	C₃×#120	—	5	1	no	—
719	C₃×C₄×D₄	—	5	1	no	—
720	C₃×C₄×D₄	—	5	1	no	—
721	C₂×C₃×C₂²⋊C₄	—	5	1	no	—
722	#953	—	5	1	no	—
723	#953	—	5	1	no	—
724	C₂×#217	—	5	1	no	—
725	#947	—	5	1	no	—
726	#947	—	5	1	no	—
727	#946	—	5	1	no	—
728	#939	—	5	1	no	—
729	#939	—	5	1	no	—
730	#939	—	5	1	no	—
731	#939	—	5	1	no	—
732	#939	—	5	1	no	—
733	#939	—	5	1	no	—
734	#938	—	5	1	no	—
735	#938	—	5	1	no	—
736	#938	—	5	1	no	—
737	#937	—	5	1	no	—
738	#937	—	5	1	no	—
739	#937	—	5	1	no	—
740	#937	—	5	1	no	—
741	#937	—	5	1	no	—
742	#937	—	5	1	no	—
743	#936	—	5	1	no	—
744	#936	—	5	1	no	—
745	#935	—	5	1	no	—
746	#935	—	5	1	no	—
747	D₄×Dic₃	—	5	1	no	—
748	D₄×Dic₃	—	5	1	no	—
749	#930	—	5	1	no	—
750	#930	—	5	1	no	—
751	#930	—	5	1	no	—
752	#929	—	5	1	no	—
753	#929	—	5	1	no	—
754	C₄×#67	—	5	1	no	—
755	C₄×#67	—	5	1	no	—
756	C₄×#67	—	5	1	no	—
757	C₄×#67	—	5	1	no	—
758	C₂×(C₂×D₃)⋊C₄	—	5	1	no	—
759	C₂×(C₂×D₃)⋊C₄	—	5	1	no	—
760	#924	—	5	1	no	—
761	#898	—	5	1	no	—
762	#898	—	5	1	no	—
763	#898	—	5	1	no	—
764	#898	—	5	1	no	—
765	#898	—	5	1	no	—
766	#898	C₂×D₅	1	1	yes	characteristic, complemented
767	#897	—	5	1	no	—
768	#896	—	5	1	no	—
769	#896	C₂×D₅	1	1	yes	characteristic, complemented
770	#895	—	5	1	no	—
771	#895	C₂×D₅	1	1	yes	characteristic, complemented
772	#895	C₂×D₅	1	1	yes	characteristic, complemented
773	#894	—	5	1	no	—
774	#894	—	5	1	no	—
775	#894	—	5	1	no	—
776	#894	C₂×D₅	1	1	yes	characteristic, complemented
777	#893	—	5	1	no	—
778	#893	C₂×D₅	1	1	yes	characteristic, complemented
779	D₃×C₄⋊C₄	—	5	1	no	—
780	D₃×C₄⋊C₄	—	5	1	no	—
781	D₃×C₄⋊C₄	—	5	1	no	—
782	D₃×C₄⋊C₄	—	5	1	no	—
783	D₃×C₄⋊C₄	—	5	1	no	—
784	D₃×C₄⋊C₄	—	5	1	no	—
785	#886	—	5	1	no	—
786	#886	—	5	1	no	—
787	#885	—	5	1	no	—
788	#885	—	5	1	no	—
789	#885	—	5	1	no	—
790	#885	—	5	1	no	—
791	#885	—	5	1	no	—
792	#885	—	5	1	no	—
793	#885	—	5	1	no	—
794	#885	C₂×D₅	1	1	yes	characteristic, complemented
795	#884	—	5	1	no	—
796	#884	—	5	1	no	—
797	#884	—	5	1	no	—
798	#884	—	5	1	no	—
799	#884	—	5	1	no	—
800	#884	C₂×D₅	1	1	yes	characteristic, complemented
801	#883	—	5	1	no	—
802	#883	—	5	1	no	—
803	#883	—	5	1	no	—
804	#883	C₂×D₅	1	1	yes	characteristic, complemented
805	#882	—	5	1	no	—
806	#882	—	5	1	no	—
807	#882	—	5	1	no	—
808	#882	—	5	1	no	—
809	#882	C₂×D₅	1	1	yes	characteristic, complemented
810	#882	C₂×D₅	1	1	yes	characteristic, complemented
811	#67⋊C₄	—	5	1	no	—
812	#67⋊C₄	—	5	1	no	—
813	#67⋊C₄	—	5	1	no	—
814	#67⋊C₄	—	5	1	no	—
815	D₃×C₂²⋊C₄	—	5	1	no	—
816	D₃×C₂²⋊C₄	—	5	1	no	—
817	D₃×C₂²⋊C₄	—	5	1	no	—
818	D₃×C₂²⋊C₄	—	5	1	no	—
819	D₃×C₂²⋊C₄	—	5	1	no	—
820	D₃×C₂²⋊C₄	—	5	1	no	—
821	D₃×C₂²⋊C₄	—	5	1	no	—
822	D₃×C₂²⋊C₄	—	5	1	no	—
823	D₃×C₂²⋊C₄	—	5	1	no	—
824	D₃×C₂²⋊C₄	—	5	1	no	—
825	D₃×C₂²⋊C₄	—	5	1	no	—
826	D₃×C₂²⋊C₄	—	5	1	no	—
827	D₃×C₂²⋊C₄	—	5	1	no	—
828	D₃×C₂²⋊C₄	—	5	1	no	—
829	D₃×C₂²⋊C₄	—	5	1	no	—
830	D₃×C₂²⋊C₄	—	5	1	no	—
831	D₃×C₂²⋊C₄	—	5	1	no	—
832	D₃×C₂²⋊C₄	C₂×D₅	1	1	yes	characteristic, complemented
833	#879	—	5	1	no	—
834	#879	—	5	1	no	—
835	#879	—	5	1	no	—
836	#879	—	5	1	no	—
837	#879	—	5	1	no	—
838	#879	—	5	1	no	—
839	#878	—	5	1	no	—
840	#878	—	5	1	no	—
841	#876	—	5	1	no	—
842	#876	—	5	1	no	—
843	#875	—	5	1	no	—
844	#875	C₂×D₅	1	1	yes	characteristic, complemented
845	C₄×D₁₂	—	5	1	no	—
846	C₄×D₁₂	C₂×D₅	1	1	yes	characteristic, complemented
847	C₄²×D₃	—	5	1	no	—
848	C₄²×D₃	—	5	1	no	—
849	C₂⁴×C₅	—	3	1	no	—
850	C₂³×D₅	—	3	1	no	—
851	C₂³×D₅	—	3	1	no	—
852	C₂³×D₅	—	3	1	no	—
853	C₂³×D₅	—	3	1	no	—
854	C₂³×D₅	—	3	1	no	—
855	C₂³×D₅	—	3	1	no	—
856	C₂³×D₅	—	3	1	no	—
857	C₂³×D₅	—	6	4	no	—
858	C₂³×D₅	—	12	2	no	—
859	C₂³×D₅	—	12	2	no	—
860	C₂³×D₅	C₂²×D₃	1	1	yes	characteristic
861	C₂×C₅×Q₈	—	3	1	no	—
862	C₂×C₅×D₄	—	3	1	no	—
863	C₂×C₅×D₄	—	3	1	no	—
864	C₂×C₅×D₄	—	3	1	no	—
865	C₂×C₅×D₄	—	3	1	no	—
866	C₂×C₅×D₄	—	3	1	no	—
867	C₂×C₅×D₄	—	3	1	no	—
868	C₂×C₅×D₄	—	3	1	no	—
869	C₂²×C₄×C₅	—	3	1	no	—
870	C₂²×C₄×C₅	—	3	1	no	—
871	C₂²×C₄×C₅	—	3	1	no	—
872	C₂²×C₄×C₅	—	3	1	no	—
873	C₂×C₂²⋊D₅	—	3	1	no	—
874	C₂×C₂²⋊D₅	—	3	1	no	—
875	C₂×C₂²⋊D₅	—	3	1	no	—
876	C₂×C₂²⋊D₅	—	3	1	no	—
877	C₂×C₂²⋊D₅	—	3	1	no	—
878	C₂×C₂²⋊D₅	—	3	1	no	—
879	C₂×C₂²⋊D₅	—	3	1	no	—
880	C₂×C₂²⋊D₅	—	3	1	no	—
881	C₂×C₂²⋊D₅	—	3	1	no	—
882	C₂×C₂²⋊D₅	—	3	1	no	—
883	C₂×C₂²⋊D₅	—	3	1	no	—
884	C₂×C₂²⋊D₅	—	3	1	no	—
885	C₂×C₂²⋊D₅	C₂²×D₃	1	1	yes	characteristic
886	C₂×C₂²⋊D₅	C₂²×D₃	1	1	yes	characteristic
887	C₂²×Dic₅	—	3	1	no	—
888	C₂²×Dic₅	—	3	1	no	—
889	C₂²×Dic₅	—	3	1	no	—
890	C₂²×Dic₅	—	3	1	no	—
891	Q₈×D₅	—	12	2	no	—
892	D₄×D₅	—	6	4	no	—
893	D₄×D₅	—	6	4	no	—
894	D₄×D₅	—	12	2	no	—
895	D₄×D₅	—	12	2	no	—
896	D₄×D₅	—	12	2	no	—
897	D₄×D₅	—	12	2	no	—
898	D₄×D₅	—	12	2	no	—
899	C₂×D₂₀	—	3	1	no	—
900	C₂×D₂₀	—	3	1	no	—
901	C₂×D₂₀	C₂²×D₃	1	1	yes	characteristic
902	C₂×D₂₀	C₂²×D₃	1	1	yes	characteristic
903	C₂×D₂₀	C₂²×D₃	1	1	yes	characteristic
904	C₂×D₂₀	C₂²×D₃	1	1	yes	characteristic
905	C₂×D₂₀	C₂²×D₃	1	1	yes	characteristic, complemented
906	C₂×C₄×D₅	—	3	1	no	—
907	C₂×C₄×D₅	—	3	1	no	—
908	C₂×C₄×D₅	—	3	1	no	—
909	C₂×C₄×D₅	—	3	1	no	—
910	C₂×C₄×D₅	—	3	1	no	—
911	C₂×C₄×D₅	—	3	1	no	—
912	C₂×C₄×D₅	—	3	1	no	—
913	C₂×C₄×D₅	—	3	1	no	—
914	C₂×C₄×D₅	—	3	1	no	—
915	C₂×C₄×D₅	—	3	1	no	—
916	C₂×C₄×D₅	—	3	1	no	—
917	C₂×C₄×D₅	—	3	1	no	—
918	C₂×C₄×D₅	—	3	1	no	—
919	C₂×C₄×D₅	—	3	1	no	—
920	C₂×C₄×D₅	—	12	2	no	—
921	C₂×C₄×D₅	—	12	2	no	—
922	C₂×C₄×D₅	—	12	2	no	—
923	C₂×C₄×D₅	—	12	2	no	—
924	C₂×C₄×D₅	C₂²×D₃	1	1	yes	characteristic
925	C₂×C₄×D₅	C₂²×D₃	1	1	yes	characteristic
926	C₂×C₄×D₅	C₂²×D₃	1	1	yes	characteristic, complemented
927	C₂×C₄×D₅	C₂²×D₃	1	1	yes	characteristic, complemented
928	C₂×Dic₁₀	—	3	1	no	—
929	C₂×Dic₁₀	—	3	1	no	—
930	C₂×Dic₁₀	C₂²×D₃	1	1	yes	characteristic, complemented
931	C₅×C₄⋊C₄	—	3	1	no	—
932	C₅×C₄⋊C₄	—	3	1	no	—
933	C₅×C₄⋊C₄	—	3	1	no	—
934	C₅×C₄⋊C₄	C₂²×D₃	1	1	yes	characteristic, complemented
935	C₅×C₄⋊C₄	C₂²×D₃	1	1	yes	characteristic, complemented
936	C₅×C₄⋊C₄	C₂²×D₃	1	1	yes	characteristic, complemented
937	C₅×C₂²⋊C₄	—	3	1	no	—
938	C₅×C₂²⋊C₄	—	3	1	no	—
939	C₅×C₂²⋊C₄	—	3	1	no	—
940	C₅×C₂²⋊C₄	—	3	1	no	—
941	C₅×C₂²⋊C₄	—	3	1	no	—
942	C₅×C₂²⋊C₄	—	3	1	no	—
943	C₅×C₂²⋊C₄	—	3	1	no	—
944	C₅×C₂²⋊C₄	—	3	1	no	—
945	C₅×C₂²⋊C₄	—	3	1	no	—
946	C₅×C₂²⋊C₄	—	3	1	no	—
947	C₅×C₂²⋊C₄	—	3	1	no	—
948	C₅×C₂²⋊C₄	C₂²×D₃	1	1	yes	characteristic
949	C₅×C₂²⋊C₄	C₂²×D₃	1	1	yes	characteristic
950	C₅×C₂²⋊C₄	C₂²×D₃	1	1	yes	characteristic
951	C₄²×C₅	—	3	1	no	—
952	C₄²×C₅	C₂²×D₃	1	1	yes	characteristic, complemented
953	C₂²⋊Dic₅	—	3	1	no	—
954	C₂²⋊Dic₅	—	3	1	no	—
955	C₂²⋊Dic₅	—	3	1	no	—
956	C₂²⋊Dic₅	—	3	1	no	—
957	C₂²⋊Dic₅	—	3	1	no	—
958	C₂²⋊Dic₅	—	3	1	no	—
959	C₂²⋊Dic₅	—	3	1	no	—
960	C₂²⋊Dic₅	—	3	1	no	—
961	C₂²⋊Dic₅	—	3	1	no	—
962	C₂²⋊Dic₅	—	3	1	no	—
963	C₂²⋊Dic₅	—	3	1	no	—
964	C₂²⋊Dic₅	—	3	1	no	—
965	C₂²⋊Dic₅	—	3	1	no	—
966	C₂²⋊Dic₅	C₂²×D₃	1	1	yes	characteristic
967	#685	—	3	1	no	—
968	#685	—	3	1	no	—
969	#685	—	3	1	no	—
970	#685	—	3	1	no	—
971	#685	—	3	1	no	—
972	#685	—	3	1	no	—
973	#685	—	3	1	no	—
974	#685	—	3	1	no	—
975	#685	—	3	1	no	—
976	#685	—	3	1	no	—
977	#685	—	3	1	no	—
978	#685	—	3	1	no	—
979	#685	—	3	1	no	—
980	#685	—	3	1	no	—
981	#685	—	3	1	no	—
982	#685	—	3	1	no	—
983	#685	—	3	1	no	—
984	#685	—	3	1	no	—
985	#685	C₂²×D₃	1	1	yes	characteristic
986	#685	C₂²×D₃	1	1	yes	characteristic
987	#685	C₂²×D₃	1	1	yes	characteristic
988	#685	C₂²×D₃	1	1	yes	characteristic
989	#685	C₂²×D₃	1	1	yes	characteristic
990	#685	C₂²×D₃	1	1	yes	characteristic
991	#685	C₂²×D₃	1	1	yes	characteristic, complemented
992	#685	C₂²×D₃	1	1	yes	characteristic, complemented
993	#685	C₂²×D₃	1	1	yes	characteristic, complemented
994	#685	C₂²×D₃	1	1	yes	characteristic, complemented
995	C₄⋊Dic₅	—	3	1	no	—
996	C₄⋊Dic₅	—	3	1	no	—
997	C₄⋊Dic₅	—	3	1	no	—
998	C₄⋊Dic₅	—	3	1	no	—
999	C₄⋊Dic₅	—	3	1	no	—
1000	C₄⋊Dic₅	C₂²×D₃	1	1	yes	characteristic, complemented
1001	#683	—	3	1	no	—
1002	#683	—	3	1	no	—
1003	#683	—	3	1	no	—
1004	#683	—	3	1	no	—
1005	#683	—	3	1	no	—
1006	#683	—	3	1	no	—
1007	#683	—	3	1	no	—
1008	#683	—	3	1	no	—
1009	#683	—	3	1	no	—
1010	#683	—	3	1	no	—
1011	#683	C₂²×D₃	1	1	yes	characteristic, complemented
1012	#683	C₂²×D₃	1	1	yes	characteristic, complemented
1013	C₄×Dic₅	—	3	1	no	—
1014	C₄×Dic₅	—	3	1	no	—
1015	C₄×Dic₅	—	3	1	no	—
1016	C₄×Dic₅	—	3	1	no	—
1017	C₄×Dic₅	—	3	1	no	—
1018	C₄×Dic₅	C₂²×D₃	1	1	yes	characteristic, complemented
1019	#538	—	3	1	no	—
1020	#538	—	5	1	no	—
1021	#538	—	15	1	no	—
1022	#538	—	15	1	no	—
1023	#538	—	15	1	no	—
1024	#538	—	15	1	no	—
1025	#538	—	15	1	no	—
1026	#538	—	15	1	no	—
1027	#538	—	15	1	no	—
1028	#538	—	15	1	no	—
1029	#538	—	15	1	no	—
1030	#538	—	15	1	no	—
1031	#538	—	15	1	no	—
1032	#538	—	15	1	no	—
1033	#538	—	15	1	no	—
1034	#538	—	15	1	no	—
1035	C₂×#126	—	15	1	no	—
1036	C₂×#126	—	15	1	no	—
1037	C₂×#124	—	15	1	no	—
1038	C₂×#124	—	15	1	no	—
1039	C₂×#123	—	15	1	no	—
1040	C₂×#123	—	15	1	no	—
1041	C₂×C₂²⋊Q₈	—	15	1	no	—
1042	C₂×#121	—	15	1	no	—
1043	C₂×#121	—	15	1	no	—
1044	C₂×#121	—	15	1	no	—
1045	C₂×#120	—	15	1	no	—
1046	C₂×#120	—	15	1	no	—
1047	C₂×C₄×D₄	—	15	1	no	—
1048	C₂×C₄×D₄	—	15	1	no	—
1049	C₂²×C₂²⋊C₄	—	15	1	no	—
1050	C₂²×C₃×C₅	—	2	1	no	—
1051	C₂²×C₃×C₅	—	2	1	no	—
1052	C₂²×C₃×C₅	—	2	1	no	—
1053	C₂²×C₃×C₅	C₂⁵	1	1	yes	characteristic
1054	C₂×D₁₅	—	2	1	no	—
1055	C₂×D₁₅	—	2	1	no	—
1056	C₂×D₁₅	—	2	1	no	—
1057	C₂×D₁₅	—	4	4	no	—
1058	C₂×D₁₅	C₂×#41	1	2	yes	—
1059	C₂×D₁₅	H(5,𝔽₂)	1	2	yes	—
1060	C₂×D₁₅	H(5,𝔽₂)	1	2	yes	—
1061	C₂×C₅×D₃	—	2	1	no	—
1062	C₂×C₅×D₃	—	2	1	no	—
1063	C₂×C₅×D₃	—	2	1	no	—
1064	C₂×C₅×D₃	—	2	1	no	—
1065	C₂×C₅×D₃	—	2	1	no	—
1066	C₂×C₅×D₃	—	2	1	no	—
1067	C₂×C₅×D₃	—	2	1	no	—
1068	C₂×C₅×D₃	—	2	1	no	—
1069	C₂×C₅×D₃	—	2	1	no	—
1070	C₂×C₅×D₃	—	2	1	no	—
1071	C₂×C₅×D₃	—	2	1	no	—
1072	C₂×C₅×D₃	—	4	4	no	—
1073	C₂×C₅×D₃	C₂×#41	1	2	yes	—
1074	C₂×C₃×D₅	—	2	1	no	—
1075	C₂×C₃×D₅	—	2	1	no	—
1076	C₂×C₃×D₅	—	2	1	no	—
1077	C₂×C₃×D₅	—	2	1	no	—
1078	C₂×C₃×D₅	—	2	1	no	—
1079	C₂×C₃×D₅	—	2	1	no	—
1080	C₂×C₃×D₅	—	2	1	no	—
1081	C₂×C₃×D₅	—	2	1	no	—
1082	C₂×C₃×D₅	—	2	1	no	—
1083	C₂×C₃×D₅	—	2	1	no	—
1084	C₂×C₃×D₅	—	2	1	no	—
1085	C₂×C₃×D₅	—	4	4	no	—
1086	C₂×C₃×D₅	C₂×#41	1	2	yes	—
1087	D₃×D₅	—	2	8	no	—
1088	D₃×D₅	—	4	4	no	—
1089	D₃×D₅	—	4	4	no	—
1090	D₃×D₅	—	4	4	no	—
1091	D₃×D₅	—	4	4	no	—
1092	D₃×D₅	—	4	4	no	—
1093	C₃×C₄×C₅	—	2	1	no	—
1094	C₃×C₄×C₅	—	2	1	no	—
1095	C₃×C₄×C₅	—	2	1	no	—
1096	C₃×C₄×C₅	—	2	1	no	—
1097	C₃×C₄×C₅	—	2	1	no	—
1098	C₃×C₄×C₅	—	2	1	no	—
1099	Dic₁₅	—	2	1	no	—
1100	Dic₁₅	—	2	1	no	—
1101	Dic₁₅	—	2	1	no	—
1102	Dic₁₅	—	2	1	no	—
1103	Dic₁₅	—	2	1	no	—
1104	Dic₁₅	—	2	1	no	—
1105	C₃×Dic₅	—	2	1	no	—
1106	C₃×Dic₅	—	2	1	no	—
1107	C₃×Dic₅	—	2	1	no	—
1108	C₃×Dic₅	—	2	1	no	—
1109	C₅×Dic₃	—	2	1	no	—
1110	C₅×Dic₃	—	2	1	no	—
1111	C₅×Dic₃	—	2	1	no	—
1112	C₅×Dic₃	—	2	1	no	—
1113	C₂⁴×C₃	—	5	1	no	—
1114	C₂³×D₃	—	5	1	no	—
1115	C₂³×D₃	—	5	1	no	—
1116	C₂³×D₃	—	5	1	no	—
1117	C₂³×D₃	—	5	1	no	—
1118	C₂³×D₃	—	5	1	no	—
1119	C₂³×D₃	—	5	1	no	—
1120	C₂³×D₃	—	5	1	no	—
1121	C₂³×D₃	—	10	4	no	—
1122	C₂³×D₃	—	20	2	no	—
1123	C₂³×D₃	—	20	2	no	—
1124	C₂³×D₃	C₂²×D₅	1	1	yes	characteristic
1125	C₂×C₃×Q₈	—	5	1	no	—
1126	C₂×C₃×D₄	—	5	1	no	—
1127	C₂×C₃×D₄	—	5	1	no	—
1128	C₂×C₃×D₄	—	5	1	no	—
1129	C₂×C₃×D₄	—	5	1	no	—
1130	C₂×C₃×D₄	—	5	1	no	—
1131	C₂×C₃×D₄	—	5	1	no	—
1132	C₂×C₃×D₄	—	5	1	no	—
1133	C₂²×C₃×C₄	—	5	1	no	—
1134	C₂²×C₃×C₄	—	5	1	no	—
1135	C₂²×C₃×C₄	—	5	1	no	—
1136	C₂²×C₃×C₄	—	5	1	no	—
1137	C₂×#67	—	5	1	no	—
1138	C₂×#67	—	5	1	no	—
1139	C₂×#67	—	5	1	no	—
1140	C₂×#67	—	5	1	no	—
1141	C₂×#67	—	5	1	no	—
1142	C₂×#67	—	5	1	no	—
1143	C₂×#67	—	5	1	no	—
1144	C₂×#67	—	5	1	no	—
1145	C₂×#67	—	5	1	no	—
1146	C₂×#67	—	5	1	no	—
1147	C₂×#67	—	5	1	no	—
1148	C₂×#67	—	5	1	no	—
1149	C₂×#67	C₂²×D₅	1	1	yes	characteristic
1150	C₂×#67	C₂²×D₅	1	1	yes	characteristic
1151	C₂²×Dic₃	—	5	1	no	—
1152	C₂²×Dic₃	—	5	1	no	—
1153	C₂²×Dic₃	—	5	1	no	—
1154	C₂²×Dic₃	—	5	1	no	—
1155	D₃×Q₈	—	20	2	no	—
1156	D₃×D₄	—	10	4	no	—
1157	D₃×D₄	—	10	4	no	—
1158	D₃×D₄	—	20	2	no	—
1159	D₃×D₄	—	20	2	no	—
1160	D₃×D₄	—	20	2	no	—
1161	D₃×D₄	—	20	2	no	—
1162	D₃×D₄	—	20	2	no	—
1163	C₂×D₁₂	—	5	1	no	—
1164	C₂×D₁₂	—	5	1	no	—
1165	C₂×D₁₂	C₂²×D₅	1	1	yes	characteristic
1166	C₂×D₁₂	C₂²×D₅	1	1	yes	characteristic
1167	C₂×D₁₂	C₂²×D₅	1	1	yes	characteristic
1168	C₂×D₁₂	C₂²×D₅	1	1	yes	characteristic
1169	C₂×D₁₂	C₂²×D₅	1	1	yes	characteristic, complemented
1170	C₂×C₄×D₃	—	5	1	no	—
1171	C₂×C₄×D₃	—	5	1	no	—
1172	C₂×C₄×D₃	—	5	1	no	—
1173	C₂×C₄×D₃	—	5	1	no	—
1174	C₂×C₄×D₃	—	5	1	no	—
1175	C₂×C₄×D₃	—	5	1	no	—
1176	C₂×C₄×D₃	—	5	1	no	—
1177	C₂×C₄×D₃	—	5	1	no	—
1178	C₂×C₄×D₃	—	5	1	no	—
1179	C₂×C₄×D₃	—	5	1	no	—
1180	C₂×C₄×D₃	—	5	1	no	—
1181	C₂×C₄×D₃	—	5	1	no	—
1182	C₂×C₄×D₃	—	5	1	no	—
1183	C₂×C₄×D₃	—	5	1	no	—
1184	C₂×C₄×D₃	—	20	2	no	—
1185	C₂×C₄×D₃	—	20	2	no	—
1186	C₂×C₄×D₃	—	20	2	no	—
1187	C₂×C₄×D₃	—	20	2	no	—
1188	C₂×C₄×D₃	C₂²×D₅	1	1	yes	characteristic
1189	C₂×C₄×D₃	C₂²×D₅	1	1	yes	characteristic
1190	C₂×C₄×D₃	C₂²×D₅	1	1	yes	characteristic, complemented
1191	C₂×C₄×D₃	C₂²×D₅	1	1	yes	characteristic, complemented
1192	C₂×Dic₆	—	5	1	no	—
1193	C₂×Dic₆	—	5	1	no	—
1194	C₂×Dic₆	C₂²×D₅	1	1	yes	characteristic, complemented
1195	C₃×C₄⋊C₄	—	5	1	no	—
1196	C₃×C₄⋊C₄	—	5	1	no	—
1197	C₃×C₄⋊C₄	—	5	1	no	—
1198	C₃×C₄⋊C₄	C₂²×D₅	1	1	yes	characteristic, complemented
1199	C₃×C₄⋊C₄	C₂²×D₅	1	1	yes	characteristic, complemented
1200	C₃×C₄⋊C₄	C₂²×D₅	1	1	yes	characteristic, complemented
1201	C₃×C₂²⋊C₄	—	5	1	no	—
1202	C₃×C₂²⋊C₄	—	5	1	no	—
1203	C₃×C₂²⋊C₄	—	5	1	no	—
1204	C₃×C₂²⋊C₄	—	5	1	no	—
1205	C₃×C₂²⋊C₄	—	5	1	no	—
1206	C₃×C₂²⋊C₄	—	5	1	no	—
1207	C₃×C₂²⋊C₄	—	5	1	no	—
1208	C₃×C₂²⋊C₄	—	5	1	no	—
1209	C₃×C₂²⋊C₄	—	5	1	no	—
1210	C₃×C₂²⋊C₄	—	5	1	no	—
1211	C₃×C₂²⋊C₄	—	5	1	no	—
1212	C₃×C₂²⋊C₄	C₂²×D₅	1	1	yes	characteristic
1213	C₃×C₂²⋊C₄	C₂²×D₅	1	1	yes	characteristic
1214	C₃×C₂²⋊C₄	C₂²×D₅	1	1	yes	characteristic
1215	C₃×C₄²	—	5	1	no	—
1216	C₃×C₄²	C₂²×D₅	1	1	yes	characteristic, complemented
1217	#217	—	5	1	no	—
1218	#217	—	5	1	no	—
1219	#217	—	5	1	no	—
1220	#217	—	5	1	no	—
1221	#217	—	5	1	no	—
1222	#217	—	5	1	no	—
1223	#217	—	5	1	no	—
1224	#217	—	5	1	no	—
1225	#217	—	5	1	no	—
1226	#217	—	5	1	no	—
1227	#217	—	5	1	no	—
1228	#217	—	5	1	no	—
1229	#217	—	5	1	no	—
1230	#217	C₂²×D₅	1	1	yes	characteristic
1231	(C₂×D₃)⋊C₄	—	5	1	no	—
1232	(C₂×D₃)⋊C₄	—	5	1	no	—
1233	(C₂×D₃)⋊C₄	—	5	1	no	—
1234	(C₂×D₃)⋊C₄	—	5	1	no	—
1235	(C₂×D₃)⋊C₄	—	5	1	no	—
1236	(C₂×D₃)⋊C₄	—	5	1	no	—
1237	(C₂×D₃)⋊C₄	—	5	1	no	—
1238	(C₂×D₃)⋊C₄	—	5	1	no	—
1239	(C₂×D₃)⋊C₄	—	5	1	no	—
1240	(C₂×D₃)⋊C₄	—	5	1	no	—
1241	(C₂×D₃)⋊C₄	—	5	1	no	—
1242	(C₂×D₃)⋊C₄	—	5	1	no	—
1243	(C₂×D₃)⋊C₄	—	5	1	no	—
1244	(C₂×D₃)⋊C₄	—	5	1	no	—
1245	(C₂×D₃)⋊C₄	—	5	1	no	—
1246	(C₂×D₃)⋊C₄	—	5	1	no	—
1247	(C₂×D₃)⋊C₄	—	5	1	no	—
1248	(C₂×D₃)⋊C₄	—	5	1	no	—
1249	(C₂×D₃)⋊C₄	C₂²×D₅	1	1	yes	characteristic
1250	(C₂×D₃)⋊C₄	C₂²×D₅	1	1	yes	characteristic
1251	(C₂×D₃)⋊C₄	C₂²×D₅	1	1	yes	characteristic
1252	(C₂×D₃)⋊C₄	C₂²×D₅	1	1	yes	characteristic
1253	(C₂×D₃)⋊C₄	C₂²×D₅	1	1	yes	characteristic
1254	(C₂×D₃)⋊C₄	C₂²×D₅	1	1	yes	characteristic
1255	(C₂×D₃)⋊C₄	C₂²×D₅	1	1	yes	characteristic, complemented
1256	(C₂×D₃)⋊C₄	C₂²×D₅	1	1	yes	characteristic, complemented
1257	(C₂×D₃)⋊C₄	C₂²×D₅	1	1	yes	characteristic, complemented
1258	(C₂×D₃)⋊C₄	C₂²×D₅	1	1	yes	characteristic, complemented
1259	C₄⋊Dic₃	—	5	1	no	—
1260	C₄⋊Dic₃	—	5	1	no	—
1261	C₄⋊Dic₃	—	5	1	no	—
1262	C₄⋊Dic₃	—	5	1	no	—
1263	C₄⋊Dic₃	—	5	1	no	—
1264	C₄⋊Dic₃	C₂²×D₅	1	1	yes	characteristic, complemented
1265	Dic₃⋊C₄	—	5	1	no	—
1266	Dic₃⋊C₄	—	5	1	no	—
1267	Dic₃⋊C₄	—	5	1	no	—
1268	Dic₃⋊C₄	—	5	1	no	—
1269	Dic₃⋊C₄	—	5	1	no	—
1270	Dic₃⋊C₄	—	5	1	no	—
1271	Dic₃⋊C₄	—	5	1	no	—
1272	Dic₃⋊C₄	—	5	1	no	—
1273	Dic₃⋊C₄	—	5	1	no	—
1274	Dic₃⋊C₄	—	5	1	no	—
1275	Dic₃⋊C₄	C₂²×D₅	1	1	yes	characteristic, complemented
1276	Dic₃⋊C₄	C₂²×D₅	1	1	yes	characteristic, complemented
1277	C₄×Dic₃	—	5	1	no	—
1278	C₄×Dic₃	—	5	1	no	—
1279	C₄×Dic₃	—	5	1	no	—
1280	C₄×Dic₃	—	5	1	no	—
1281	C₄×Dic₃	—	5	1	no	—
1282	C₄×Dic₃	C₂²×D₅	1	1	yes	characteristic, complemented
1283	C₂³×C₅	—	3	1	no	—
1284	C₂³×C₅	—	3	1	no	—
1285	C₂³×C₅	—	3	1	no	—
1286	C₂³×C₅	—	3	1	no	—
1287	C₂³×C₅	—	6	2	no	—
1288	C₂³×C₅	—	12	1	no	—
1289	C₂³×C₅	—	12	1	no	—
1290	C₂³×C₅	C₂³×D₃	1	1	yes	characteristic
1291	C₂²×D₅	—	2	2	no	—
1292	C₂²×D₅	—	3	1	no	—
1293	C₂²×D₅	—	3	4	no	—
1294	C₂²×D₅	—	3	1	no	—
1295	C₂²×D₅	—	4	1	no	—
1296	C₂²×D₅	—	4	1	no	—
1297	C₂²×D₅	—	6	2	no	—
1298	C₂²×D₅	—	6	2	no	—
1299	C₂²×D₅	—	6	2	no	—
1300	C₂²×D₅	—	6	2	no	—
1301	C₂²×D₅	—	6	2	no	—
1302	C₂²×D₅	—	6	2	no	—
1303	C₂²×D₅	—	6	2	no	—
1304	C₂²×D₅	—	6	2	no	—
1305	C₂²×D₅	—	6	2	no	—
1306	C₂²×D₅	—	6	2	no	—
1307	C₂²×D₅	—	6	2	no	—
1308	C₂²×D₅	—	6	2	no	—
1309	C₂²×D₅	—	6	2	no	—
1310	C₂²×D₅	—	6	2	no	—
1311	C₂²×D₅	—	6	2	no	—
1312	C₂²×D₅	—	6	2	no	—
1313	C₂²×D₅	—	12	1	no	—
1314	C₂²×D₅	—	12	1	no	—
1315	C₂²×D₅	—	12	1	no	—
1316	C₂²×D₅	—	12	1	no	—
1317	C₂²×D₅	—	12	16	no	—
1318	C₂²×D₅	C₂³×D₃	1	1	yes	characteristic
1319	C₂²×D₅	C₂³×D₃	1	1	yes	characteristic
1320	C₂²×D₅	C₂³×D₃	1	1	yes	characteristic
1321	C₂²×D₅	C₂³×D₃	1	1	yes	characteristic
1322	C₅×Q₈	—	12	1	no	—
1323	C₅×D₄	—	6	2	no	—
1324	C₅×D₄	—	6	2	no	—
1325	C₅×D₄	—	12	1	no	—
1326	C₅×D₄	—	12	1	no	—
1327	C₅×D₄	—	12	1	no	—
1328	C₅×D₄	—	12	1	no	—
1329	C₅×D₄	—	12	1	no	—
1330	C₂×C₄×C₅	—	3	1	no	—
1331	C₂×C₄×C₅	—	3	1	no	—
1332	C₂×C₄×C₅	—	3	1	no	—
1333	C₂×C₄×C₅	—	3	1	no	—
1334	C₂×C₄×C₅	—	12	1	no	—
1335	C₂×C₄×C₅	—	12	1	no	—
1336	C₂×C₄×C₅	—	12	1	no	—
1337	C₂×C₄×C₅	—	12	1	no	—
1338	C₂×C₄×C₅	C₂³×D₃	1	1	yes	characteristic
1339	C₂×C₄×C₅	C₂³×D₃	1	1	yes	characteristic
1340	C₂×C₄×C₅	C₂³×D₃	1	1	yes	characteristic
1341	C₂×C₄×C₅	C₂³×D₃	1	1	yes	characteristic
1342	C₂×C₄×C₅	C₂³×D₃	1	1	yes	characteristic
1343	C₂×C₄×C₅	C₂³×D₃	1	1	yes	characteristic
1344	C₂²⋊D₅	—	4	1	no	—
1345	C₂²⋊D₅	—	4	1	no	—
1346	C₂²⋊D₅	—	6	2	no	—
1347	C₂²⋊D₅	—	6	2	no	—
1348	C₂²⋊D₅	—	6	2	no	—
1349	C₂²⋊D₅	—	6	2	no	—
1350	C₂²⋊D₅	—	12	1	no	—
1351	C₂²⋊D₅	—	12	1	no	—
1352	C₂²⋊D₅	—	12	1	no	—
1353	C₂²⋊D₅	—	12	1	no	—
1354	C₂²⋊D₅	—	12	1	no	—
1355	C₂²⋊D₅	—	12	1	no	—
1356	C₂²⋊D₅	—	12	1	no	—
1357	C₂²⋊D₅	—	12	1	no	—
1358	C₂×Dic₅	—	3	1	no	—
1359	C₂×Dic₅	—	3	1	no	—
1360	C₂×Dic₅	—	3	1	no	—
1361	C₂×Dic₅	—	3	1	no	—
1362	C₂×Dic₅	—	3	1	no	—
1363	C₂×Dic₅	—	3	1	no	—
1364	C₂×Dic₅	—	12	1	no	—
1365	C₂×Dic₅	—	12	1	no	—
1366	C₂×Dic₅	—	12	1	no	—
1367	C₂×Dic₅	—	12	1	no	—
1368	C₂×Dic₅	C₂³×D₃	1	1	yes	characteristic
1369	C₂×Dic₅	C₂³×D₃	1	1	yes	characteristic
1370	C₂×Dic₅	C₂³×D₃	1	1	yes	characteristic
1371	C₂×Dic₅	C₂³×D₃	1	1	yes	characteristic
1372	D₂₀	—	2	2	no	—
1373	D₂₀	—	2	2	no	—
1374	D₂₀	—	4	1	no	—
1375	D₂₀	—	4	1	no	—
1376	D₂₀	—	4	1	no	—
1377	D₂₀	—	12	1	no	—
1378	D₂₀	—	12	1	no	—
1379	C₄×D₅	—	4	1	no	—
1380	C₄×D₅	—	4	1	no	—
1381	C₄×D₅	—	4	1	no	—
1382	C₄×D₅	—	4	1	no	—
1383	C₄×D₅	—	6	2	no	—
1384	C₄×D₅	—	6	2	no	—
1385	C₄×D₅	—	6	2	no	—
1386	C₄×D₅	—	6	2	no	—
1387	C₄×D₅	—	6	2	no	—
1388	C₄×D₅	—	6	2	no	—
1389	C₄×D₅	—	6	2	no	—
1390	C₄×D₅	—	6	2	no	—
1391	C₄×D₅	—	6	2	no	—
1392	C₄×D₅	—	6	2	no	—
1393	C₄×D₅	—	12	1	no	—
1394	C₄×D₅	—	12	1	no	—
1395	C₄×D₅	—	12	1	no	—
1396	C₄×D₅	—	12	1	no	—
1397	Dic₁₀	—	4	1	no	—
1398	Dic₁₀	—	12	1	no	—
1399	Dic₁₀	—	12	1	no	—
1400	C₂⁵	—	15	1	no	—
1401	C₂²×Q₈	—	15	1	no	—
1402	C₂²×D₄	—	15	1	no	—
1403	C₂²×D₄	—	15	1	no	—
1404	C₂²×D₄	—	15	1	no	—
1405	C₂²×D₄	—	15	1	no	—
1406	C₂²×D₄	—	15	1	no	—
1407	C₂²×D₄	—	15	1	no	—
1408	C₂²×D₄	—	15	1	no	—
1409	C₂³×C₄	—	15	1	no	—
1410	C₂³×C₄	—	15	1	no	—
1411	C₂³×C₄	—	15	1	no	—
1412	C₂³×C₄	—	15	1	no	—
1413	#126	—	3	1	no	—
1414	#126	—	5	1	no	—
1415	#126	—	15	1	no	—
1416	#126	—	15	1	no	—
1417	#126	—	15	1	no	—
1418	#126	—	15	1	no	—
1419	#126	—	15	1	no	—
1420	#126	—	15	1	no	—
1421	#126	—	15	1	no	—
1422	#126	—	15	1	no	—
1423	#126	—	15	1	no	—
1424	#126	—	15	1	no	—
1425	#126	—	15	1	no	—
1426	#126	—	15	1	no	—
1427	#126	—	15	1	no	—
1428	#126	D₃×D₅	1	1	yes	characteristic, complemented
1429	#124	—	3	1	no	—
1430	#124	—	3	1	no	—
1431	#124	—	5	1	no	—
1432	#124	—	5	1	no	—
1433	#124	—	15	1	no	—
1434	#124	—	15	1	no	—
1435	#124	—	15	1	no	—
1436	#124	—	15	1	no	—
1437	#124	—	15	1	no	—
1438	#124	—	15	1	no	—
1439	#124	—	15	1	no	—
1440	#124	—	15	1	no	—
1441	#124	—	15	1	no	—
1442	#124	—	15	1	no	—
1443	#124	—	15	1	no	—
1444	#124	—	15	1	no	—
1445	#123	—	3	1	no	—
1446	#123	—	3	1	no	—
1447	#123	—	5	1	no	—
1448	#123	—	5	1	no	—
1449	#123	—	15	1	no	—
1450	#123	—	15	1	no	—
1451	#123	—	15	1	no	—
1452	#123	—	15	1	no	—
1453	#123	—	15	1	no	—
1454	#123	—	15	1	no	—
1455	#123	—	15	1	no	—
1456	#123	—	15	1	no	—
1457	#123	—	15	1	no	—
1458	#123	—	15	1	no	—
1459	#123	—	15	1	no	—
1460	#123	—	15	1	no	—
1461	C₂²⋊Q₈	—	3	1	no	—
1462	C₂²⋊Q₈	—	5	1	no	—
1463	C₂²⋊Q₈	—	15	1	no	—
1464	C₂²⋊Q₈	—	15	1	no	—
1465	C₂²⋊Q₈	—	15	1	no	—
1466	C₂²⋊Q₈	—	15	1	no	—
1467	C₂²⋊Q₈	—	15	1	no	—
1468	C₂²⋊Q₈	—	15	1	no	—
1469	#121	—	3	1	no	—
1470	#121	—	3	1	no	—
1471	#121	—	3	1	no	—
1472	#121	—	5	1	no	—
1473	#121	—	5	1	no	—
1474	#121	—	5	1	no	—
1475	#121	—	15	1	no	—
1476	#121	—	15	1	no	—
1477	#121	—	15	1	no	—
1478	#121	—	15	1	no	—
1479	#121	—	15	1	no	—
1480	#121	—	15	1	no	—
1481	#121	—	15	1	no	—
1482	#121	—	15	1	no	—
1483	#121	—	15	1	no	—
1484	#121	—	15	1	no	—
1485	#121	—	15	1	no	—
1486	#121	—	15	1	no	—
1487	#121	—	15	1	no	—
1488	#121	—	15	1	no	—
1489	#121	—	15	1	no	—
1490	#121	—	15	1	no	—
1491	#121	—	15	1	no	—
1492	#121	—	15	1	no	—
1493	#120	—	3	1	no	—
1494	#120	—	3	1	no	—
1495	#120	—	5	1	no	—
1496	#120	—	5	1	no	—
1497	#120	—	15	1	no	—
1498	#120	—	15	1	no	—
1499	#120	—	15	1	no	—
1500	#120	—	15	1	no	—
1501	#120	—	15	1	no	—
1502	#120	—	15	1	no	—
1503	#120	—	15	1	no	—
1504	#120	—	15	1	no	—
1505	#120	—	15	1	no	—
1506	#120	—	15	1	no	—
1507	#120	—	15	1	no	—
1508	#120	—	15	1	no	—
1509	C₄×D₄	—	3	1	no	—
1510	C₄×D₄	—	3	1	no	—
1511	C₄×D₄	—	5	1	no	—
1512	C₄×D₄	—	5	1	no	—
1513	C₄×D₄	—	15	1	no	—
1514	C₄×D₄	—	15	1	no	—
1515	C₄×D₄	—	15	1	no	—
1516	C₄×D₄	—	15	1	no	—
1517	C₄×D₄	—	15	1	no	—
1518	C₄×D₄	—	15	1	no	—
1519	C₄×D₄	—	15	1	no	—
1520	C₄×D₄	—	15	1	no	—
1521	C₄×D₄	—	15	1	no	—
1522	C₄×D₄	—	15	1	no	—
1523	C₄×D₄	—	15	1	no	—
1524	C₄×D₄	—	15	1	no	—
1525	C₂×C₄⋊C₄	—	15	1	no	—
1526	C₂×C₄⋊C₄	—	15	1	no	—
1527	C₂×C₄⋊C₄	—	15	1	no	—
1528	C₂×C₄⋊C₄	—	15	1	no	—
1529	C₂×C₄⋊C₄	—	15	1	no	—
1530	C₂×C₄⋊C₄	—	15	1	no	—
1531	C₂×C₂²⋊C₄	—	3	1	no	—
1532	C₂×C₂²⋊C₄	—	5	1	no	—
1533	C₂×C₂²⋊C₄	—	15	1	no	—
1534	C₂×C₂²⋊C₄	—	15	1	no	—
1535	C₂×C₂²⋊C₄	—	15	1	no	—
1536	C₂×C₂²⋊C₄	—	15	1	no	—
1537	C₂×C₂²⋊C₄	—	15	1	no	—
1538	C₂×C₂²⋊C₄	—	15	1	no	—
1539	C₂×C₂²⋊C₄	—	15	1	no	—
1540	C₂×C₂²⋊C₄	—	15	1	no	—
1541	C₂×C₂²⋊C₄	—	15	1	no	—
1542	C₂×C₂²⋊C₄	—	15	1	no	—
1543	C₂×C₂²⋊C₄	—	15	1	no	—
1544	C₂×C₂²⋊C₄	—	15	1	no	—
1545	C₂×C₂²⋊C₄	—	15	1	no	—
1546	C₂×C₂²⋊C₄	—	15	1	no	—
1547	C₂×C₂²⋊C₄	—	15	1	no	—
1548	C₂×C₂²⋊C₄	—	15	1	no	—
1549	C₂×C₂²⋊C₄	—	15	1	no	—
1550	C₂×C₂²⋊C₄	—	15	1	no	—
1551	C₂×C₂²⋊C₄	—	15	1	no	—
1552	C₂×C₂²⋊C₄	—	15	1	no	—
1553	C₂×C₄²	—	15	1	no	—
1554	C₂×C₄²	—	15	1	no	—
1555	C₂×C₃×C₅	—	4	1	no	—
1556	C₂×C₃×C₅	C₂²×#41	1	1	yes	characteristic
1557	C₂×C₃×C₅	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1558	C₂×C₃×C₅	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1559	D₁₅	—	4	1	no	—
1560	D₁₅	#538	1	4	yes	complemented
1561	C₃×D₅	—	2	2	no	—
1562	C₃×D₅	—	4	1	no	—
1563	C₃×D₅	—	4	1	no	—
1564	C₃×D₅	—	4	1	no	—
1565	C₅×D₃	—	2	2	no	—
1566	C₅×D₃	—	4	1	no	—
1567	C₅×D₃	—	4	1	no	—
1568	C₅×D₃	—	4	1	no	—
1569	C₂³×C₃	—	5	1	no	—
1570	C₂³×C₃	—	5	1	no	—
1571	C₂³×C₃	—	5	1	no	—
1572	C₂³×C₃	—	5	1	no	—
1573	C₂³×C₃	—	10	2	no	—
1574	C₂³×C₃	—	20	1	no	—
1575	C₂³×C₃	—	20	1	no	—
1576	C₂³×C₃	C₂³×D₅	1	1	yes	characteristic
1577	C₂²×D₃	—	2	2	no	—
1578	C₂²×D₃	—	4	1	no	—
1579	C₂²×D₃	—	4	1	no	—
1580	C₂²×D₃	—	5	1	no	—
1581	C₂²×D₃	—	5	4	no	—
1582	C₂²×D₃	—	5	1	no	—
1583	C₂²×D₃	—	10	2	no	—
1584	C₂²×D₃	—	10	2	no	—
1585	C₂²×D₃	—	10	2	no	—
1586	C₂²×D₃	—	10	2	no	—
1587	C₂²×D₃	—	10	2	no	—
1588	C₂²×D₃	—	10	2	no	—
1589	C₂²×D₃	—	10	2	no	—
1590	C₂²×D₃	—	10	2	no	—
1591	C₂²×D₃	—	10	2	no	—
1592	C₂²×D₃	—	10	2	no	—
1593	C₂²×D₃	—	10	2	no	—
1594	C₂²×D₃	—	10	2	no	—
1595	C₂²×D₃	—	10	2	no	—
1596	C₂²×D₃	—	10	2	no	—
1597	C₂²×D₃	—	10	2	no	—
1598	C₂²×D₃	—	10	2	no	—
1599	C₂²×D₃	—	20	1	no	—
1600	C₂²×D₃	—	20	1	no	—
1601	C₂²×D₃	—	20	1	no	—
1602	C₂²×D₃	—	20	1	no	—
1603	C₂²×D₃	—	20	16	no	—
1604	C₂²×D₃	C₂³×D₅	1	1	yes	characteristic
1605	C₂²×D₃	C₂³×D₅	1	1	yes	characteristic
1606	C₂²×D₃	C₂³×D₅	1	1	yes	characteristic
1607	C₂²×D₃	C₂³×D₅	1	1	yes	characteristic
1608	C₃×Q₈	—	20	1	no	—
1609	C₃×D₄	—	10	2	no	—
1610	C₃×D₄	—	10	2	no	—
1611	C₃×D₄	—	20	1	no	—
1612	C₃×D₄	—	20	1	no	—
1613	C₃×D₄	—	20	1	no	—
1614	C₃×D₄	—	20	1	no	—
1615	C₃×D₄	—	20	1	no	—
1616	C₂×C₃×C₄	—	5	1	no	—
1617	C₂×C₃×C₄	—	5	1	no	—
1618	C₂×C₃×C₄	—	5	1	no	—
1619	C₂×C₃×C₄	—	5	1	no	—
1620	C₂×C₃×C₄	—	20	1	no	—
1621	C₂×C₃×C₄	—	20	1	no	—
1622	C₂×C₃×C₄	—	20	1	no	—
1623	C₂×C₃×C₄	—	20	1	no	—
1624	C₂×C₃×C₄	C₂³×D₅	1	1	yes	characteristic
1625	C₂×C₃×C₄	C₂³×D₅	1	1	yes	characteristic
1626	C₂×C₃×C₄	C₂³×D₅	1	1	yes	characteristic
1627	C₂×C₃×C₄	C₂³×D₅	1	1	yes	characteristic
1628	C₂×C₃×C₄	C₂³×D₅	1	1	yes	characteristic
1629	C₂×C₃×C₄	C₂³×D₅	1	1	yes	characteristic
1630	#67	—	4	1	no	—
1631	#67	—	4	1	no	—
1632	#67	—	10	2	no	—
1633	#67	—	10	2	no	—
1634	#67	—	10	2	no	—
1635	#67	—	10	2	no	—
1636	#67	—	20	1	no	—
1637	#67	—	20	1	no	—
1638	#67	—	20	1	no	—
1639	#67	—	20	1	no	—
1640	#67	—	20	1	no	—
1641	#67	—	20	1	no	—
1642	#67	—	20	1	no	—
1643	#67	—	20	1	no	—
1644	C₂×Dic₃	—	5	1	no	—
1645	C₂×Dic₃	—	5	1	no	—
1646	C₂×Dic₃	—	5	1	no	—
1647	C₂×Dic₃	—	5	1	no	—
1648	C₂×Dic₃	—	5	1	no	—
1649	C₂×Dic₃	—	5	1	no	—
1650	C₂×Dic₃	—	20	1	no	—
1651	C₂×Dic₃	—	20	1	no	—
1652	C₂×Dic₃	—	20	1	no	—
1653	C₂×Dic₃	—	20	1	no	—
1654	C₂×Dic₃	C₂³×D₅	1	1	yes	characteristic
1655	C₂×Dic₃	C₂³×D₅	1	1	yes	characteristic
1656	C₂×Dic₃	C₂³×D₅	1	1	yes	characteristic
1657	C₂×Dic₃	C₂³×D₅	1	1	yes	characteristic
1658	D₁₂	—	2	2	no	—
1659	D₁₂	—	2	2	no	—
1660	D₁₂	—	4	1	no	—
1661	D₁₂	—	4	1	no	—
1662	D₁₂	—	4	1	no	—
1663	D₁₂	—	20	1	no	—
1664	D₁₂	—	20	1	no	—
1665	C₄×D₃	—	4	1	no	—
1666	C₄×D₃	—	4	1	no	—
1667	C₄×D₃	—	4	1	no	—
1668	C₄×D₃	—	4	1	no	—
1669	C₄×D₃	—	10	2	no	—
1670	C₄×D₃	—	10	2	no	—
1671	C₄×D₃	—	10	2	no	—
1672	C₄×D₃	—	10	2	no	—
1673	C₄×D₃	—	10	2	no	—
1674	C₄×D₃	—	10	2	no	—
1675	C₄×D₃	—	10	2	no	—
1676	C₄×D₃	—	10	2	no	—
1677	C₄×D₃	—	10	2	no	—
1678	C₄×D₃	—	10	2	no	—
1679	C₄×D₃	—	20	1	no	—
1680	C₄×D₃	—	20	1	no	—
1681	C₄×D₃	—	20	1	no	—
1682	C₄×D₃	—	20	1	no	—
1683	Dic₆	—	4	1	no	—
1684	Dic₆	—	20	1	no	—
1685	Dic₆	—	20	1	no	—
1686	C₂²×C₅	—	2	1	no	—
1687	C₂²×C₅	—	2	1	no	—
1688	C₂²×C₅	—	2	1	no	—
1689	C₂²×C₅	—	3	2	no	—
1690	C₂²×C₅	—	6	1	no	—
1691	C₂²×C₅	—	6	1	no	—
1692	C₂²×C₅	—	6	1	no	—
1693	C₂²×C₅	—	6	1	no	—
1694	C₂²×C₅	—	6	1	no	—
1695	C₂²×C₅	—	6	1	no	—
1696	C₂²×C₅	—	6	1	no	—
1697	C₂²×C₅	—	6	1	no	—
1698	C₂²×C₅	—	6	1	no	—
1699	C₂²×C₅	—	6	1	no	—
1700	C₂²×C₅	—	6	1	no	—
1701	C₂²×C₅	—	12	4	no	—
1702	C₂²×C₅	C₂⁴×D₃	1	1	yes	characteristic
1703	C₂×D₅	—	2	1	no	—
1704	C₂×D₅	—	2	1	no	—
1705	C₂×D₅	—	2	1	no	—
1706	C₂×D₅	—	2	1	no	—
1707	C₂×D₅	—	2	1	no	—
1708	C₂×D₅	—	2	1	no	—
1709	C₂×D₅	—	2	1	no	—
1710	C₂×D₅	—	2	1	no	—
1711	C₂×D₅	—	2	1	no	—
1712	C₂×D₅	—	2	1	no	—
1713	C₂×D₅	—	2	1	no	—
1714	C₂×D₅	—	3	2	no	—
1715	C₂×D₅	—	3	2	no	—
1716	C₂×D₅	—	3	2	no	—
1717	C₂×D₅	—	4	4	no	—
1718	C₂×D₅	—	6	8	no	—
1719	C₂×D₅	—	6	1	no	—
1720	C₂×D₅	—	6	1	no	—
1721	C₂×D₅	—	6	1	no	—
1722	C₂×D₅	—	12	4	no	—
1723	C₂×D₅	—	12	4	no	—
1724	C₂×D₅	—	12	4	no	—
1725	C₂×D₅	—	12	4	no	—
1726	C₂×D₅	—	12	4	no	—
1727	C₂×D₅	—	12	4	no	—
1728	C₂×D₅	D₃×#41	1	2	yes	—
1729	C₄×C₅	—	2	1	no	—
1730	C₄×C₅	—	2	1	no	—
1731	C₄×C₅	—	2	1	no	—
1732	C₄×C₅	—	2	1	no	—
1733	C₄×C₅	—	2	1	no	—
1734	C₄×C₅	—	2	1	no	—
1735	C₄×C₅	—	6	1	no	—
1736	C₄×C₅	—	6	1	no	—
1737	C₄×C₅	—	6	1	no	—
1738	C₄×C₅	—	6	1	no	—
1739	Dic₅	—	2	1	no	—
1740	Dic₅	—	2	1	no	—
1741	Dic₅	—	2	1	no	—
1742	Dic₅	—	2	1	no	—
1743	Dic₅	—	6	1	no	—
1744	Dic₅	—	6	1	no	—
1745	Dic₅	—	6	1	no	—
1746	Dic₅	—	6	1	no	—
1747	Dic₅	—	6	1	no	—
1748	Dic₅	—	6	1	no	—
1749	C₂⁴	—	3	1	no	—
1750	C₂⁴	—	5	1	no	—
1751	C₂⁴	—	15	1	no	—
1752	C₂⁴	—	15	1	no	—
1753	C₂⁴	—	15	1	no	—
1754	C₂⁴	—	15	1	no	—
1755	C₂⁴	—	15	1	no	—
1756	C₂⁴	—	15	1	no	—
1757	C₂⁴	—	15	1	no	—
1758	C₂⁴	—	30	4	no	—
1759	C₂⁴	—	60	2	no	—
1760	C₂⁴	—	60	2	no	—
1761	C₂×Q₈	—	3	1	no	—
1762	C₂×Q₈	—	5	1	no	—
1763	C₂×Q₈	—	15	1	no	—
1764	C₂×Q₈	—	15	1	no	—
1765	C₂×Q₈	—	60	2	no	—
1766	C₂×D₄	—	3	1	no	—
1767	C₂×D₄	—	3	1	no	—
1768	C₂×D₄	—	3	1	no	—
1769	C₂×D₄	—	3	1	no	—
1770	C₂×D₄	—	3	1	no	—
1771	C₂×D₄	—	3	1	no	—
1772	C₂×D₄	—	3	1	no	—
1773	C₂×D₄	—	5	1	no	—
1774	C₂×D₄	—	5	1	no	—
1775	C₂×D₄	—	5	1	no	—
1776	C₂×D₄	—	5	1	no	—
1777	C₂×D₄	—	5	1	no	—
1778	C₂×D₄	—	5	1	no	—
1779	C₂×D₄	—	5	1	no	—
1780	C₂×D₄	—	15	1	no	—
1781	C₂×D₄	—	15	1	no	—
1782	C₂×D₄	—	15	1	no	—
1783	C₂×D₄	—	15	1	no	—
1784	C₂×D₄	—	15	1	no	—
1785	C₂×D₄	—	15	1	no	—
1786	C₂×D₄	—	15	1	no	—
1787	C₂×D₄	—	15	1	no	—
1788	C₂×D₄	—	15	1	no	—
1789	C₂×D₄	—	15	1	no	—
1790	C₂×D₄	—	15	1	no	—
1791	C₂×D₄	—	15	1	no	—
1792	C₂×D₄	—	15	1	no	—
1793	C₂×D₄	—	15	1	no	—
1794	C₂×D₄	—	30	4	no	—
1795	C₂×D₄	—	30	4	no	—
1796	C₂×D₄	—	60	2	no	—
1797	C₂×D₄	—	60	2	no	—
1798	C₂×D₄	—	60	2	no	—
1799	C₂×D₄	—	60	2	no	—
1800	C₂×D₄	—	60	2	no	—
1801	C₂²×C₄	—	3	1	no	—
1802	C₂²×C₄	—	3	1	no	—
1803	C₂²×C₄	—	3	1	no	—
1804	C₂²×C₄	—	3	1	no	—
1805	C₂²×C₄	—	5	1	no	—
1806	C₂²×C₄	—	5	1	no	—
1807	C₂²×C₄	—	5	1	no	—
1808	C₂²×C₄	—	5	1	no	—
1809	C₂²×C₄	—	15	1	no	—
1810	C₂²×C₄	—	15	1	no	—
1811	C₂²×C₄	—	15	1	no	—
1812	C₂²×C₄	—	15	1	no	—
1813	C₂²×C₄	—	15	1	no	—
1814	C₂²×C₄	—	15	1	no	—
1815	C₂²×C₄	—	15	1	no	—
1816	C₂²×C₄	—	15	1	no	—
1817	C₂²×C₄	—	15	1	no	—
1818	C₂²×C₄	—	15	1	no	—
1819	C₂²×C₄	—	15	1	no	—
1820	C₂²×C₄	—	15	1	no	—
1821	C₂²×C₄	—	15	1	no	—
1822	C₂²×C₄	—	15	1	no	—
1823	C₂²×C₄	—	15	1	no	—
1824	C₂²×C₄	—	15	1	no	—
1825	C₂²×C₄	—	15	1	no	—
1826	C₂²×C₄	—	15	1	no	—
1827	C₂²×C₄	—	60	2	no	—
1828	C₂²×C₄	—	60	2	no	—
1829	C₂²×C₄	—	60	2	no	—
1830	C₂²×C₄	—	60	2	no	—
1831	C₄⋊C₄	—	3	1	no	—
1832	C₄⋊C₄	—	3	1	no	—
1833	C₄⋊C₄	—	3	1	no	—
1834	C₄⋊C₄	—	5	1	no	—
1835	C₄⋊C₄	—	5	1	no	—
1836	C₄⋊C₄	—	5	1	no	—
1837	C₄⋊C₄	—	15	1	no	—
1838	C₄⋊C₄	—	15	1	no	—
1839	C₄⋊C₄	—	15	1	no	—
1840	C₄⋊C₄	—	15	1	no	—
1841	C₄⋊C₄	—	15	1	no	—
1842	C₄⋊C₄	—	15	1	no	—
1843	C₄⋊C₄	—	15	1	no	—
1844	C₄⋊C₄	—	15	1	no	—
1845	C₄⋊C₄	—	15	1	no	—
1846	C₄⋊C₄	—	15	1	no	—
1847	C₄⋊C₄	—	15	1	no	—
1848	C₄⋊C₄	—	15	1	no	—
1849	C₄⋊C₄	—	15	1	no	—
1850	C₄⋊C₄	—	15	1	no	—
1851	C₄⋊C₄	—	15	1	no	—
1852	C₄⋊C₄	C₂×D₃×D₅	1	1	yes	characteristic, complemented
1853	C₄⋊C₄	C₂×D₃×D₅	1	1	yes	characteristic, complemented
1854	C₄⋊C₄	C₂×D₃×D₅	1	1	yes	characteristic, complemented
1855	C₂²⋊C₄	—	3	1	no	—
1856	C₂²⋊C₄	—	3	1	no	—
1857	C₂²⋊C₄	—	3	1	no	—
1858	C₂²⋊C₄	—	3	1	no	—
1859	C₂²⋊C₄	—	3	1	no	—
1860	C₂²⋊C₄	—	3	1	no	—
1861	C₂²⋊C₄	—	3	1	no	—
1862	C₂²⋊C₄	—	3	1	no	—
1863	C₂²⋊C₄	—	3	1	no	—
1864	C₂²⋊C₄	—	3	1	no	—
1865	C₂²⋊C₄	—	3	1	no	—
1866	C₂²⋊C₄	—	5	1	no	—
1867	C₂²⋊C₄	—	5	1	no	—
1868	C₂²⋊C₄	—	5	1	no	—
1869	C₂²⋊C₄	—	5	1	no	—
1870	C₂²⋊C₄	—	5	1	no	—
1871	C₂²⋊C₄	—	5	1	no	—
1872	C₂²⋊C₄	—	5	1	no	—
1873	C₂²⋊C₄	—	5	1	no	—
1874	C₂²⋊C₄	—	5	1	no	—
1875	C₂²⋊C₄	—	5	1	no	—
1876	C₂²⋊C₄	—	5	1	no	—
1877	C₂²⋊C₄	—	15	1	no	—
1878	C₂²⋊C₄	—	15	1	no	—
1879	C₂²⋊C₄	—	15	1	no	—
1880	C₂²⋊C₄	—	15	1	no	—
1881	C₂²⋊C₄	—	15	1	no	—
1882	C₂²⋊C₄	—	15	1	no	—
1883	C₂²⋊C₄	—	15	1	no	—
1884	C₂²⋊C₄	—	15	1	no	—
1885	C₂²⋊C₄	—	15	1	no	—
1886	C₂²⋊C₄	—	15	1	no	—
1887	C₂²⋊C₄	—	15	1	no	—
1888	C₂²⋊C₄	—	15	1	no	—
1889	C₂²⋊C₄	—	15	1	no	—
1890	C₂²⋊C₄	—	15	1	no	—
1891	C₂²⋊C₄	—	15	1	no	—
1892	C₂²⋊C₄	—	15	1	no	—
1893	C₂²⋊C₄	—	15	1	no	—
1894	C₂²⋊C₄	—	15	1	no	—
1895	C₂²⋊C₄	—	15	1	no	—
1896	C₂²⋊C₄	—	15	1	no	—
1897	C₂²⋊C₄	—	15	1	no	—
1898	C₂²⋊C₄	—	15	1	no	—
1899	C₂²⋊C₄	—	15	1	no	—
1900	C₂²⋊C₄	—	15	1	no	—
1901	C₂²⋊C₄	—	15	1	no	—
1902	C₂²⋊C₄	—	15	1	no	—
1903	C₂²⋊C₄	—	15	1	no	—
1904	C₂²⋊C₄	—	15	1	no	—
1905	C₂²⋊C₄	—	15	1	no	—
1906	C₂²⋊C₄	—	15	1	no	—
1907	C₂²⋊C₄	—	15	1	no	—
1908	C₂²⋊C₄	C₂×D₃×D₅	1	1	yes	characteristic
1909	C₂²⋊C₄	C₂×D₃×D₅	1	1	yes	characteristic
1910	C₂²⋊C₄	C₂×D₃×D₅	1	1	yes	characteristic
1911	C₄²	—	3	1	no	—
1912	C₄²	—	5	1	no	—
1913	C₄²	—	15	1	no	—
1914	C₄²	—	15	1	no	—
1915	C₄²	—	15	1	no	—
1916	C₄²	—	15	1	no	—
1917	C₄²	—	15	1	no	—
1918	C₄²	C₂×D₃×D₅	1	1	yes	characteristic, complemented
1919	C₃×C₅	C₂×#538	1	1	yes	characteristic, complemented, Hall
1920	C₂²×C₃	—	2	1	no	—
1921	C₂²×C₃	—	2	1	no	—
1922	C₂²×C₃	—	2	1	no	—
1923	C₂²×C₃	—	5	2	no	—
1924	C₂²×C₃	—	10	1	no	—
1925	C₂²×C₃	—	10	1	no	—
1926	C₂²×C₃	—	10	1	no	—
1927	C₂²×C₃	—	10	1	no	—
1928	C₂²×C₃	—	10	1	no	—
1929	C₂²×C₃	—	10	1	no	—
1930	C₂²×C₃	—	10	1	no	—
1931	C₂²×C₃	—	10	1	no	—
1932	C₂²×C₃	—	10	1	no	—
1933	C₂²×C₃	—	10	1	no	—
1934	C₂²×C₃	—	10	1	no	—
1935	C₂²×C₃	—	20	4	no	—
1936	C₂²×C₃	C₂⁴×D₅	1	1	yes	characteristic
1937	C₂×D₃	—	2	1	no	—
1938	C₂×D₃	—	2	1	no	—
1939	C₂×D₃	—	2	1	no	—
1940	C₂×D₃	—	2	1	no	—
1941	C₂×D₃	—	2	1	no	—
1942	C₂×D₃	—	2	1	no	—
1943	C₂×D₃	—	2	1	no	—
1944	C₂×D₃	—	2	1	no	—
1945	C₂×D₃	—	2	1	no	—
1946	C₂×D₃	—	2	1	no	—
1947	C₂×D₃	—	2	1	no	—
1948	C₂×D₃	—	4	4	no	—
1949	C₂×D₃	—	5	2	no	—
1950	C₂×D₃	—	5	2	no	—
1951	C₂×D₃	—	5	2	no	—
1952	C₂×D₃	—	10	8	no	—
1953	C₂×D₃	—	10	1	no	—
1954	C₂×D₃	—	10	1	no	—
1955	C₂×D₃	—	10	1	no	—
1956	C₂×D₃	—	20	4	no	—
1957	C₂×D₃	—	20	4	no	—
1958	C₂×D₃	—	20	4	no	—
1959	C₂×D₃	—	20	4	no	—
1960	C₂×D₃	—	20	4	no	—
1961	C₂×D₃	—	20	4	no	—
1962	C₂×D₃	D₅×#41	1	2	yes	—
1963	C₃×C₄	—	2	1	no	—
1964	C₃×C₄	—	2	1	no	—
1965	C₃×C₄	—	2	1	no	—
1966	C₃×C₄	—	2	1	no	—
1967	C₃×C₄	—	2	1	no	—
1968	C₃×C₄	—	2	1	no	—
1969	C₃×C₄	—	10	1	no	—
1970	C₃×C₄	—	10	1	no	—
1971	C₃×C₄	—	10	1	no	—
1972	C₃×C₄	—	10	1	no	—
1973	Dic₃	—	2	1	no	—
1974	Dic₃	—	2	1	no	—
1975	Dic₃	—	2	1	no	—
1976	Dic₃	—	2	1	no	—
1977	Dic₃	—	10	1	no	—
1978	Dic₃	—	10	1	no	—
1979	Dic₃	—	10	1	no	—
1980	Dic₃	—	10	1	no	—
1981	Dic₃	—	10	1	no	—
1982	Dic₃	—	10	1	no	—
1983	C₂×C₅	—	4	1	no	—
1984	C₂×C₅	—	6	2	no	—
1985	C₂×C₅	—	12	1	no	—
1986	C₂×C₅	—	12	1	no	—
1987	C₂×C₅	—	12	1	no	—
1988	C₂×C₅	C₂×D₃×#41	1	1	yes	characteristic
1989	C₂×C₅	D₃×H(5,𝔽₂)	1	1	yes	characteristic
1990	C₂×C₅	D₃×H(5,𝔽₂)	1	1	yes	characteristic
1991	D₅	—	2	2	no	—
1992	D₅	—	3	4	no	—
1993	D₅	—	4	1	no	—
1994	D₅	—	4	1	no	—
1995	D₅	—	4	1	no	—
1996	D₅	—	12	1	no	—
1997	C₂³	—	3	1	no	—
1998	C₂³	—	3	1	no	—
1999	C₂³	—	3	1	no	—
2000	C₂³	—	3	1	no	—
2001	C₂³	—	5	1	no	—
2002	C₂³	—	5	1	no	—
2003	C₂³	—	5	1	no	—
2004	C₂³	—	5	1	no	—
2005	C₂³	—	6	2	no	—
2006	C₂³	—	10	2	no	—
2007	C₂³	—	12	1	no	—
2008	C₂³	—	12	1	no	—
2009	C₂³	—	15	4	no	—
2010	C₂³	—	15	1	no	—
2011	C₂³	—	15	1	no	—
2012	C₂³	—	20	1	no	—
2013	C₂³	—	20	1	no	—
2014	C₂³	—	30	2	no	—
2015	C₂³	—	30	2	no	—
2016	C₂³	—	30	2	no	—
2017	C₂³	—	30	2	no	—
2018	C₂³	—	30	2	no	—
2019	C₂³	—	30	2	no	—
2020	C₂³	—	30	2	no	—
2021	C₂³	—	30	2	no	—
2022	C₂³	—	30	2	no	—
2023	C₂³	—	30	2	no	—
2024	C₂³	—	30	2	no	—
2025	C₂³	—	30	2	no	—
2026	C₂³	—	30	2	no	—
2027	C₂³	—	30	2	no	—
2028	C₂³	—	30	2	no	—
2029	C₂³	—	30	2	no	—
2030	C₂³	—	60	1	no	—
2031	C₂³	—	60	1	no	—
2032	C₂³	—	60	1	no	—
2033	C₂³	—	60	1	no	—
2034	C₂³	—	60	16	no	—
2035	C₂³	C₂²×D₃×D₅	1	1	yes	characteristic
2036	Q₈	—	12	1	no	—
2037	Q₈	—	20	1	no	—
2038	Q₈	—	60	1	no	—
2039	Q₈	—	60	1	no	—
2040	D₄	—	6	2	no	—
2041	D₄	—	6	2	no	—
2042	D₄	—	10	2	no	—
2043	D₄	—	10	2	no	—
2044	D₄	—	12	1	no	—
2045	D₄	—	12	1	no	—
2046	D₄	—	12	1	no	—
2047	D₄	—	12	1	no	—
2048	D₄	—	12	1	no	—
2049	D₄	—	20	1	no	—
2050	D₄	—	20	1	no	—
2051	D₄	—	20	1	no	—
2052	D₄	—	20	1	no	—
2053	D₄	—	20	1	no	—
2054	D₄	—	30	2	no	—
2055	D₄	—	30	2	no	—
2056	D₄	—	30	2	no	—
2057	D₄	—	30	2	no	—
2058	D₄	—	60	1	no	—
2059	D₄	—	60	1	no	—
2060	D₄	—	60	1	no	—
2061	D₄	—	60	1	no	—
2062	D₄	—	60	1	no	—
2063	D₄	—	60	1	no	—
2064	D₄	—	60	1	no	—
2065	D₄	—	60	1	no	—
2066	D₄	—	60	1	no	—
2067	D₄	—	60	1	no	—
2068	C₂×C₄	—	3	1	no	—
2069	C₂×C₄	—	3	1	no	—
2070	C₂×C₄	—	3	1	no	—
2071	C₂×C₄	—	3	1	no	—
2072	C₂×C₄	—	5	1	no	—
2073	C₂×C₄	—	5	1	no	—
2074	C₂×C₄	—	5	1	no	—
2075	C₂×C₄	—	5	1	no	—
2076	C₂×C₄	—	12	1	no	—
2077	C₂×C₄	—	12	1	no	—
2078	C₂×C₄	—	12	1	no	—
2079	C₂×C₄	—	12	1	no	—
2080	C₂×C₄	—	15	1	no	—
2081	C₂×C₄	—	15	1	no	—
2082	C₂×C₄	—	15	1	no	—
2083	C₂×C₄	—	15	1	no	—
2084	C₂×C₄	—	15	1	no	—
2085	C₂×C₄	—	15	1	no	—
2086	C₂×C₄	—	20	1	no	—
2087	C₂×C₄	—	20	1	no	—
2088	C₂×C₄	—	20	1	no	—
2089	C₂×C₄	—	20	1	no	—
2090	C₂×C₄	—	30	2	no	—
2091	C₂×C₄	—	30	2	no	—
2092	C₂×C₄	—	30	2	no	—
2093	C₂×C₄	—	30	2	no	—
2094	C₂×C₄	—	30	2	no	—
2095	C₂×C₄	—	30	2	no	—
2096	C₂×C₄	—	30	2	no	—
2097	C₂×C₄	—	30	2	no	—
2098	C₂×C₄	—	30	2	no	—
2099	C₂×C₄	—	30	2	no	—
2100	C₂×C₄	—	60	1	no	—
2101	C₂×C₄	—	60	1	no	—
2102	C₂×C₄	—	60	1	no	—
2103	C₂×C₄	—	60	1	no	—
2104	C₂×C₄	—	60	1	no	—
2105	C₂×C₄	—	60	1	no	—
2106	C₂×C₄	—	60	1	no	—
2107	C₂×C₄	—	60	1	no	—
2108	C₂×C₄	C₂²×D₃×D₅	1	1	yes	characteristic
2109	C₂×C₄	C₂²×D₃×D₅	1	1	yes	characteristic
2110	C₂×C₄	C₂²×D₃×D₅	1	1	yes	characteristic
2111	C₂×C₄	C₂²×D₃×D₅	1	1	yes	characteristic
2112	C₂×C₄	C₂²×D₃×D₅	1	1	yes	characteristic
2113	C₂×C₄	C₂²×D₃×D₅	1	1	yes	characteristic
2114	C₂×C₃	—	4	1	no	—
2115	C₂×C₃	—	10	2	no	—
2116	C₂×C₃	—	20	1	no	—
2117	C₂×C₃	—	20	1	no	—
2118	C₂×C₃	—	20	1	no	—
2119	C₂×C₃	C₂×D₅×#41	1	1	yes	characteristic
2120	C₂×C₃	D₅×H(5,𝔽₂)	1	1	yes	characteristic
2121	C₂×C₃	D₅×H(5,𝔽₂)	1	1	yes	characteristic
2122	D₃	—	2	2	no	—
2123	D₃	—	4	1	no	—
2124	D₃	—	4	1	no	—
2125	D₃	—	4	1	no	—
2126	D₃	—	5	4	no	—
2127	D₃	—	20	1	no	—
2128	C₅	D₃×#538	1	1	yes	characteristic, complemented, Sylow
2129	C₂²	—	2	1	no	—
2130	C₂²	—	2	1	no	—
2131	C₂²	—	2	1	no	—
2132	C₂²	—	3	2	no	—
2133	C₂²	—	5	2	no	—
2134	C₂²	—	6	1	no	—
2135	C₂²	—	6	1	no	—
2136	C₂²	—	6	1	no	—
2137	C₂²	—	6	1	no	—
2138	C₂²	—	6	1	no	—
2139	C₂²	—	6	1	no	—
2140	C₂²	—	6	1	no	—
2141	C₂²	—	6	1	no	—
2142	C₂²	—	6	1	no	—
2143	C₂²	—	6	1	no	—
2144	C₂²	—	6	1	no	—
2145	C₂²	—	10	1	no	—
2146	C₂²	—	10	1	no	—
2147	C₂²	—	10	1	no	—
2148	C₂²	—	10	1	no	—
2149	C₂²	—	10	1	no	—
2150	C₂²	—	10	1	no	—
2151	C₂²	—	10	1	no	—
2152	C₂²	—	10	1	no	—
2153	C₂²	—	10	1	no	—
2154	C₂²	—	10	1	no	—
2155	C₂²	—	10	1	no	—
2156	C₂²	—	12	4	no	—
2157	C₂²	—	15	2	no	—
2158	C₂²	—	15	2	no	—
2159	C₂²	—	15	2	no	—
2160	C₂²	—	20	4	no	—
2161	C₂²	—	30	8	no	—
2162	C₂²	—	30	1	no	—
2163	C₂²	—	30	1	no	—
2164	C₂²	—	30	1	no	—
2165	C₂²	—	60	4	no	—
2166	C₂²	—	60	4	no	—
2167	C₂²	—	60	4	no	—
2168	C₂²	—	60	4	no	—
2169	C₂²	—	60	4	no	—
2170	C₂²	—	60	4	no	—
2171	C₂²	C₂³×D₃×D₅	1	1	yes	characteristic
2172	C₄	—	2	1	no	—
2173	C₄	—	2	1	no	—
2174	C₄	—	2	1	no	—
2175	C₄	—	2	1	no	—
2176	C₄	—	2	1	no	—
2177	C₄	—	2	1	no	—
2178	C₄	—	6	1	no	—
2179	C₄	—	6	1	no	—
2180	C₄	—	6	1	no	—
2181	C₄	—	6	1	no	—
2182	C₄	—	10	1	no	—
2183	C₄	—	10	1	no	—
2184	C₄	—	10	1	no	—
2185	C₄	—	10	1	no	—
2186	C₄	—	30	1	no	—
2187	C₄	—	30	1	no	—
2188	C₄	—	30	1	no	—
2189	C₄	—	30	1	no	—
2190	C₄	—	30	1	no	—
2191	C₄	—	30	1	no	—
2192	C₃	D₅×#538	1	1	yes	characteristic, complemented, Sylow
2193	C₂	—	4	1	no	—
2194	C₂	—	6	2	no	—
2195	C₂	—	10	2	no	—
2196	C₂	—	12	1	no	—
2197	C₂	—	12	1	no	—
2198	C₂	—	12	1	no	—
2199	C₂	—	15	4	no	—
2200	C₂	—	20	1	no	—
2201	C₂	—	20	1	no	—
2202	C₂	—	20	1	no	—
2203	C₂	—	60	1	no	—
2204	C₂	D₃×D₅×#41	1	1	yes	characteristic
2205	C₂	#11757054	1	1	yes	characteristic
2206	C₂	#11757054	1	1	yes	characteristic

	subgroup	G/H
center, Frattini	C₂²	C₂³×D₃×D₅
commutator, socle, cosocle	C₂²×C₃×C₅	C₂⁵
Fitting	C₃×C₅×#126	C₂²
hypercenter	#126	D₃×D₅
hypocenter	C₃×C₅	C₂×#538
LCS	G ▷ C₂²×C₃×C₅ ▷ C₃×C₅
UCS	C₁ ◁ C₂² ◁ #126

Complements

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

N	H ≅ G/N	type
1. D₁₅×#126	C₂	semidirect
2. C₅×#5704	C₂	semidirect
3. C₃×#66038	C₂	semidirect
4. #11753931	C₂	semidirect
5. #11753926	C₂	semidirect
6. #11753922	C₂	semidirect
7. #11753918	C₂	semidirect
8. #11753908	C₂	semidirect
9. #11753902	C₂	semidirect
10. #11753895	C₂	semidirect
11. #11753867	C₂	semidirect
12. #11753850	C₂	semidirect
13. #11753850	C₂	semidirect
14. #11753844	C₂	semidirect
15. #11753840	C₂	semidirect
16. #11753253	C₂	semidirect
17. #11753219	C₂	semidirect
18. #11753210	C₂	semidirect
19. #11753207	C₂	semidirect
20. #11753207	C₂	semidirect
21. D₃×D₅×C₂²⋊C₄	C₂	semidirect
22. #11753138	C₂	semidirect
23. #11753135	C₂	semidirect
24. #11753117	C₂	semidirect
25. #11753104	C₂	semidirect
26. #11753086	C₂	semidirect
27. #11752925	C₂	semidirect
28. #11752763	C₂	semidirect
29. #11752755	C₂	semidirect
30. #11752751	C₂	semidirect
31. C₄×#6777	C₂	semidirect
40. C₂×#6777	C₂²	semidirect
43. C₂×C₄×D₃×D₅	C₂²	semidirect
44. C₂×C₄×D₃×D₅	C₂²	semidirect
45. C₂×D₁₅⋊Q₈	C₂²	semidirect
46. C₃×C₅×#126	C₂²	semidirect
47. #91787	C₂²	semidirect
48. #91787	C₂²	semidirect
49. #91787	C₂²	semidirect
50. C₄⋊C₄×D₁₅	C₂²	semidirect
51. C₄⋊C₄×D₁₅	C₂²	semidirect
52. C₄⋊C₄×D₁₅	C₂²	semidirect
56. #91768	C₂²	semidirect
57. #91768	C₂²	semidirect
58. #91768	C₂²	semidirect
59. #91765	C₂²	semidirect
60. C₄²×D₁₅	C₂²	semidirect
61. C₅×#898	C₂²	semidirect
62. C₅×#896	C₂²	semidirect
63. C₅×#895	C₂²	semidirect
64. C₅×#895	C₂²	semidirect
65. C₅×#894	C₂²	semidirect
66. C₅×#893	C₂²	semidirect
67. C₅×#885	C₂²	semidirect
68. C₅×#884	C₂²	semidirect
69. C₅×#883	C₂²	semidirect
70. C₅×#882	C₂²	semidirect
71. C₅×#882	C₂²	semidirect
72. C₅×D₃×C₂²⋊C₄	C₂²	semidirect
73. C₅×#875	C₂²	semidirect
74. C₄×C₅×D₁₂	C₂²	semidirect
75. C₃×#4044	C₂²	semidirect
76. C₃×#4042	C₂²	semidirect
77. C₃×#4041	C₂²	semidirect
78. C₃×#4041	C₂²	semidirect
79. C₃×#4040	C₂²	semidirect
80. C₃×#4039	C₂²	semidirect
81. C₃×#4031	C₂²	semidirect
82. C₃×#4030	C₂²	semidirect
83. C₃×#4029	C₂²	semidirect
84. C₃×#4028	C₂²	semidirect
85. C₃×#4028	C₂²	semidirect
86. C₃×D₅×C₂²⋊C₄	C₂²	semidirect
87. C₃×#4021	C₂²	semidirect
88. C₃×C₄×D₂₀	C₂²	semidirect
89. #91568	C₂²	semidirect
90. #91568	C₂²	semidirect
91. #91565	C₂²	semidirect
92. #91563	C₂²	semidirect
93. #91563	C₂²	semidirect
95. #91555	C₂²	semidirect
96. D₃×C₂²⋊Dic₅	C₂²	semidirect
97. #91549	C₂²	semidirect
98. #91548	C₂²	semidirect
99. D₅×#217	C₂²	semidirect
100. #91534	C₂²	semidirect
101. #91525	C₂²	semidirect
102. #91475	C₂²	semidirect
103. #91475	C₂²	semidirect
104. #91475	C₂²	semidirect
105. #91475	C₂²	semidirect
106. #91474	C₂²	semidirect
107. #91474	C₂²	semidirect
108. #91474	C₂²	semidirect
109. #91474	C₂²	semidirect
116. #91473	C₂²	semidirect
117. #91473	C₂²	semidirect
118. #91473	C₂²	semidirect
119. #91473	C₂²	semidirect
120. D₃×#685	C₂²	semidirect
121. D₃×#685	C₂²	semidirect
122. D₅×(C₂×D₃)⋊C₄	C₂²	semidirect
123. D₅×(C₂×D₃)⋊C₄	C₂²	semidirect
124. #91464	C₂²	semidirect
125. #91464	C₂²	semidirect
126. #91464	C₂²	semidirect
127. #91464	C₂²	semidirect
128. #91457	C₂²	semidirect
129. #91456	C₂²	semidirect
130. #91456	C₂²	semidirect
131. #91455	C₂²	semidirect
132. #91454	C₂²	semidirect
133. #91453	C₂²	semidirect
134. #91453	C₂²	semidirect
135. #91453	C₂²	semidirect
136. #91453	C₂²	semidirect
137. #91452	C₂²	semidirect
138. #91449	C₂²	semidirect
139. #91449	C₂²	semidirect
140. #91448	C₂²	semidirect
141. #91447	C₂²	semidirect
142. #91442	C₂²	semidirect
143. #91442	C₂²	semidirect
144. #91441	C₂²	semidirect
145. #91441	C₂²	semidirect
146. #91440	C₂²	semidirect
147. #91440	C₂²	semidirect
148. C₄×#1201	C₂²	semidirect
149. C₄×#1201	C₂²	semidirect
150. #91437	C₂²	semidirect
151. #91435	C₂²	semidirect
152. #91434	C₂²	semidirect
153. #91427	C₂²	semidirect
154. Dic₃×D₂₀	C₂²	semidirect
155. #91423	C₂²	semidirect
156. #91422	C₂²	semidirect
157. #91421	C₂²	semidirect
158. #91417	C₂²	semidirect
159. #91416	C₂²	semidirect
160. Dic₅×D₁₂	C₂²	semidirect
161. #91414	C₂²	semidirect
162. #91413	C₂²	semidirect
163. #91410	C₂²	semidirect
164. #91409	C₂²	semidirect
165. #91408	C₂²	semidirect
166. #91408	C₂²	semidirect
167. #91408	C₂²	semidirect
168. #91408	C₂²	semidirect
169. #91407	C₂²	semidirect
170. #91404	C₂²	semidirect
171. #91404	C₂²	semidirect
172. C₄×#1200	C₂²	semidirect
173. #91372	C₂²	semidirect
174. #91370	C₂²	semidirect
175. #91368	C₂²	semidirect
176. #91363	C₂²	semidirect
177. #91362	C₂²	semidirect
178. #91361	C₂²	semidirect
179. #91353	C₂²	semidirect
180. #91352	C₂²	semidirect
181. #91351	C₂²	semidirect
182. #91350	C₂²	semidirect
183. #91349	C₂²	semidirect
184. #91348	C₂²	semidirect
185. #91342	C₂²	semidirect
186. #91341	C₂²	semidirect
187. #91326	C₂²	semidirect
191. #66038	D₃	semidirect
244. C₂×C₅×D₁₂	C₂³	semidirect
247. C₂×C₄×C₅×D₃	C₂³	semidirect
248. C₂×C₄×C₅×D₃	C₂³	semidirect
249. C₂×C₅×Dic₆	C₂³	semidirect
256. C₂×C₃×D₂₀	C₂³	semidirect
259. C₂×C₃×C₄×D₅	C₂³	semidirect
260. C₂×C₃×C₄×D₅	C₂³	semidirect
261. C₂×C₃×Dic₁₀	C₂³	semidirect
264. C₂×#1204	C₂³	semidirect
265. C₂×#1204	C₂³	semidirect
278. C₂×#1201	C₂³	semidirect
279. C₂×#1201	C₂³	semidirect
286. C₂×D₃×Dic₅	C₂³	semidirect
287. C₂×D₃×Dic₅	C₂³	semidirect
290. C₂×D₅×Dic₃	C₂³	semidirect
291. C₂×D₅×Dic₃	C₂³	semidirect
302. C₃×C₅×C₄⋊C₄	C₂³	semidirect
303. C₃×C₅×C₄⋊C₄	C₂³	semidirect
304. C₃×C₅×C₄⋊C₄	C₂³	semidirect
308. C₃×C₄²×C₅	C₂³	semidirect
318. C₄⋊Dic₁₅	C₂³	semidirect
319. C₄⋊Dic₁₅	C₂³	semidirect
320. C₄⋊Dic₁₅	C₂³	semidirect
321. #6712	C₂³	semidirect
322. #6712	C₂³	semidirect
323. #6712	C₂³	semidirect
324. #6712	C₂³	semidirect
325. #6712	C₂³	semidirect
326. #6712	C₂³	semidirect
327. C₄×Dic₁₅	C₂³	semidirect
328. C₄×Dic₁₅	C₂³	semidirect
329. C₄×Dic₁₅	C₂³	semidirect
337. C₅×(C₂×D₃)⋊C₄	C₂³	semidirect
338. C₅×(C₂×D₃)⋊C₄	C₂³	semidirect
339. C₅×(C₂×D₃)⋊C₄	C₂³	semidirect
340. C₅×(C₂×D₃)⋊C₄	C₂³	semidirect
341. C₅×C₄⋊Dic₃	C₂³	semidirect
342. C₅×Dic₃⋊C₄	C₂³	semidirect
343. C₅×Dic₃⋊C₄	C₂³	semidirect
344. C₄×C₅×Dic₃	C₂³	semidirect
352. C₃×#685	C₂³	semidirect
353. C₃×#685	C₂³	semidirect
354. C₃×#685	C₂³	semidirect
355. C₃×#685	C₂³	semidirect
356. C₃×C₄⋊Dic₅	C₂³	semidirect
357. C₃×#683	C₂³	semidirect
358. C₃×#683	C₂³	semidirect
359. C₃×C₄×Dic₅	C₂³	semidirect
360. Dic₃⋊Dic₅	C₂³	semidirect
361. Dic₃⋊Dic₅	C₂³	semidirect
362. #6669	C₂³	semidirect
363. #6669	C₂³	semidirect
364. #6668	C₂³	semidirect
365. #6668	C₂³	semidirect
374. (C₂×D₃)⋊Dic₅	C₂³	semidirect
375. (C₂×D₃)⋊Dic₅	C₂³	semidirect
376. (C₂×D₃)⋊Dic₅	C₂³	semidirect
377. (C₂×D₃)⋊Dic₅	C₂³	semidirect
384. #6665	C₂³	semidirect
385. #6665	C₂³	semidirect
386. #6665	C₂³	semidirect
387. #6665	C₂³	semidirect
388. Dic₃×Dic₅	C₂³	semidirect
389. Dic₃×Dic₅	C₂³	semidirect
392. #5704	D₅	semidirect
435. C₅×#126	C₂×D₃	semidirect
493. #4044	C₂×D₃	semidirect
496. #4042	C₂×D₃	semidirect
498. #4041	C₂×D₃	semidirect
499. #4041	C₂×D₃	semidirect
503. #4040	C₂×D₃	semidirect
505. #4039	C₂×D₃	semidirect
521. #4031	C₂×D₃	semidirect
527. #4030	C₂×D₃	semidirect
531. #4029	C₂×D₃	semidirect
536. #4028	C₂×D₃	semidirect
537. #4028	C₂×D₃	semidirect
559. D₅×C₂²⋊C₄	C₂×D₃	semidirect
571. #4021	C₂×D₃	semidirect
573. C₄×D₂₀	C₂×D₃	semidirect
708. C₃×#126	C₂×D₅	semidirect
766. #898	C₂×D₅	semidirect
769. #896	C₂×D₅	semidirect
771. #895	C₂×D₅	semidirect
772. #895	C₂×D₅	semidirect
776. #894	C₂×D₅	semidirect
778. #893	C₂×D₅	semidirect
794. #885	C₂×D₅	semidirect
800. #884	C₂×D₅	semidirect
804. #883	C₂×D₅	semidirect
809. #882	C₂×D₅	semidirect
810. #882	C₂×D₅	semidirect
832. D₃×C₂²⋊C₄	C₂×D₅	semidirect
844. #875	C₂×D₅	semidirect
846. C₄×D₁₂	C₂×D₅	semidirect
905. C₂×D₂₀	C₂²×D₃	semidirect
926. C₂×C₄×D₅	C₂²×D₃	semidirect
927. C₂×C₄×D₅	C₂²×D₃	semidirect
930. C₂×Dic₁₀	C₂²×D₃	semidirect
934. C₅×C₄⋊C₄	C₂²×D₃	semidirect
935. C₅×C₄⋊C₄	C₂²×D₃	semidirect
936. C₅×C₄⋊C₄	C₂²×D₃	semidirect
952. C₄²×C₅	C₂²×D₃	semidirect
991. #685	C₂²×D₃	semidirect
992. #685	C₂²×D₃	semidirect
993. #685	C₂²×D₃	semidirect
994. #685	C₂²×D₃	semidirect
1000. C₄⋊Dic₅	C₂²×D₃	semidirect
1011. #683	C₂²×D₃	semidirect
1012. #683	C₂²×D₃	semidirect
1018. C₄×Dic₅	C₂²×D₃	semidirect
1169. C₂×D₁₂	C₂²×D₅	semidirect
1190. C₂×C₄×D₃	C₂²×D₅	semidirect
1191. C₂×C₄×D₃	C₂²×D₅	semidirect
1194. C₂×Dic₆	C₂²×D₅	semidirect
1198. C₃×C₄⋊C₄	C₂²×D₅	semidirect
1199. C₃×C₄⋊C₄	C₂²×D₅	semidirect
1200. C₃×C₄⋊C₄	C₂²×D₅	semidirect
1216. C₃×C₄²	C₂²×D₅	semidirect
1255. (C₂×D₃)⋊C₄	C₂²×D₅	semidirect
1256. (C₂×D₃)⋊C₄	C₂²×D₅	semidirect
1257. (C₂×D₃)⋊C₄	C₂²×D₅	semidirect
1258. (C₂×D₃)⋊C₄	C₂²×D₅	semidirect
1264. C₄⋊Dic₃	C₂²×D₅	semidirect
1275. Dic₃⋊C₄	C₂²×D₅	semidirect
1276. Dic₃⋊C₄	C₂²×D₅	semidirect
1282. C₄×Dic₃	C₂²×D₅	semidirect
1428. #126	D₃×D₅	semidirect
1560. D₁₅	#538	semidirect
1852. C₄⋊C₄	C₂×D₃×D₅	semidirect
1853. C₄⋊C₄	C₂×D₃×D₅	semidirect
1854. C₄⋊C₄	C₂×D₃×D₅	semidirect
1918. C₄²	C₂×D₃×D₅	semidirect
1919. C₃×C₅	C₂×#538	semidirect
2128. C₅	D₃×#538	semidirect
2192. C₃	D₅×#538	semidirect

Maximal subgroups

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

subgroup	index
D₁₅×#126	2
C₅×#5704	2
C₃×#66038	2
#11753931	2
#11753926	2
#11753922	2
#11753918	2
#11753908	2
#11753902	2
#11753895	2
#11753867	2
#11753850	2
#11753844	2
#11753840	2
#11753253	2
#11753219	2
#11753210	2
#11753207	2
D₃×D₅×C₂²⋊C₄	2
#11753138	2
#11753135	2
#11753117	2
#11753104	2
#11753086	2
#11752925	2
#11752763	2
#11752755	2
#11752751	2
C₄×#6777	2
D₅×#538	3
D₃×#538	5