Subgroups — #16807971

Order 3328.

2140 conjugacy classes of subgroups.

The subgroup lattice has 2086 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#13131383	C₂	1	1	yes	maximal, characteristic, complemented
2	#13131377	C₂	1	1	yes	maximal, characteristic, complemented
3	#13131377	C₂	1	1	yes	maximal, characteristic, complemented
4	#13131377	C₂	1	1	yes	maximal, characteristic, complemented
5	#13131374	C₂	1	1	yes	maximal, characteristic, complemented
6	#13131373	C₂	1	1	yes	maximal, characteristic, complemented
7	#13131371	C₂	1	1	yes	maximal, characteristic, complemented
8	#13131363	C₂	1	1	yes	maximal, characteristic, complemented
9	#13131359	C₂	1	1	yes	maximal, characteristic, complemented
10	#13131357	C₂	1	1	yes	maximal, characteristic, complemented
11	#13131354	C₂	1	1	yes	maximal, characteristic, complemented
12	#13131353	C₂	1	1	yes	maximal, characteristic, complemented
13	#13131353	C₂	1	1	yes	maximal, characteristic, complemented
14	#13131344	C₂	1	1	yes	maximal, characteristic, complemented
15	#13131343	C₂	1	1	yes	maximal, characteristic, complemented
16	#13131336	C₂	1	1	yes	maximal, characteristic, complemented
17	#13131335	C₂	1	1	yes	maximal, characteristic, complemented
18	#13131334	C₂	1	1	yes	maximal, characteristic, complemented
19	#13131334	C₂	1	1	yes	maximal, characteristic, complemented
20	#13131333	C₂	1	1	yes	maximal, characteristic, complemented
21	#13131333	C₂	1	1	yes	maximal, characteristic, complemented
22	#13131325	C₂	1	1	yes	maximal, characteristic, complemented
23	#13131324	C₂	1	1	yes	maximal, characteristic, complemented
24	#13131319	C₂	1	1	yes	maximal, characteristic, complemented
25	#13131318	C₂	1	1	yes	maximal, characteristic, complemented
26	#13131314	C₂	1	1	yes	maximal, characteristic, complemented
27	#13131313	C₂	1	1	yes	maximal, characteristic, complemented
28	#123×#261	C₂	1	1	yes	maximal, characteristic, complemented
29	#13131290	C₂	1	1	yes	maximal, characteristic, complemented
30	#13131290	C₂	1	1	yes	maximal, characteristic, complemented
31	D₁₃×#553	C₂	1	1	yes	maximal, characteristic
32	C₂×D₄×#261	C₂²	1	1	yes	characteristic
33	C₂×D₄×#261	C₂²	1	1	yes	characteristic
34	C₂×#88237	C₂²	1	1	yes	characteristic
35	C₂×#88237	C₂²	1	1	yes	characteristic
36	C₂×#88237	C₂²	1	1	yes	characteristic
37	C₂²×C₄×#261	C₂²	1	1	yes	characteristic
38	C₁₃×#553	C₄	1	1	yes	characteristic, complemented
39	#11719414	C₄	1	1	yes	characteristic, complemented
40	#11719414	C₄	1	1	yes	characteristic, complemented
41	D₁₃×#126	C₂²	1	1	yes	characteristic
42	D₁₃×#126	C₂²	1	1	yes	characteristic
43	#11719400	C₄	1	1	yes	characteristic, complemented
44	D₁₃×#125	C₂²	1	1	yes	characteristic
45	#11719366	C₄	1	1	yes	characteristic, complemented
46	#11719366	C₄	1	1	yes	characteristic, complemented
47	D₁₃×#123	C₂²	1	1	yes	characteristic
48	D₁₃×#123	C₂²	1	1	yes	characteristic
49	#11719323	C₄	1	1	yes	characteristic, complemented
50	#11719319	C₄	1	1	yes	characteristic, complemented
51	D₁₃×#121	C₂²	1	1	yes	characteristic
52	D₁₃×#121	C₂²	1	1	yes	characteristic
53	D₁₃×#121	C₂²	1	1	yes	characteristic
54	D₁₃×#121	C₂²	1	1	yes	characteristic
55	#11719306	C₄	1	1	yes	characteristic, complemented
56	#11719306	C₄	1	1	yes	characteristic, complemented
57	#11719270	C₄	1	1	yes	characteristic, complemented
58	#11719263	C₄	1	1	yes	characteristic, complemented
59	C₄×D₄×D₁₃	C₂²	1	1	yes	characteristic
60	C₄×D₄×D₁₃	C₂²	1	1	yes	characteristic
61	C₄×D₄×D₁₃	C₂²	1	1	yes	characteristic
62	C₄×D₄×D₁₃	C₂²	1	1	yes	characteristic
63	#11719245	C₄	1	1	yes	characteristic, complemented
64	#11719245	C₄	1	1	yes	characteristic, complemented
65	#11719235	C₄	1	1	yes	characteristic, complemented
66	D₁₃×#117	C₂²	1	1	yes	characteristic
67	#11719219	C₄	1	1	yes	characteristic, complemented
68	C₂×C₄⋊C₄×D₁₃	C₂²	1	1	yes	characteristic
69	#11719151	C₂²	1	1	yes	characteristic
70	#11719151	C₂²	1	1	yes	characteristic
71	#11719151	C₂²	1	1	yes	characteristic
72	#11719151	C₂²	1	1	yes	characteristic
73	#11719151	C₂²	1	1	yes	characteristic
74	#11719151	C₂²	1	1	yes	characteristic
75	#11719151	C₂²	1	1	yes	characteristic
76	#11719151	C₂²	1	1	yes	characteristic
77	#11719150	C₂²	1	1	yes	characteristic
78	#11719150	C₂²	1	1	yes	characteristic
79	#11719150	C₂²	1	1	yes	characteristic
80	#11719150	C₂²	1	1	yes	characteristic
81	#11719150	C₂²	1	1	yes	characteristic
82	#11719150	C₂²	1	1	yes	characteristic
83	#11719150	C₂²	1	1	yes	characteristic
84	#11719150	C₂²	1	1	yes	characteristic
85	#11719150	C₂²	1	1	yes	characteristic
86	#11719150	C₂²	1	1	yes	characteristic
87	#11719150	C₂²	1	1	yes	characteristic
88	#11719150	C₂²	1	1	yes	characteristic
89	#11719150	C₂²	1	1	yes	characteristic
90	#11719150	C₂²	1	1	yes	characteristic
91	#11719136	C₂²	1	1	yes	characteristic
92	#11719136	C₂²	1	1	yes	characteristic
93	#11719136	C₂²	1	1	yes	characteristic
94	#11719136	C₂²	1	1	yes	characteristic
95	#11719136	C₂²	1	1	yes	characteristic
96	#11719136	C₂²	1	1	yes	characteristic
97	#11719135	C₂²	1	1	yes	characteristic
98	#11719135	C₂²	1	1	yes	characteristic
99	#11719135	C₂²	1	1	yes	characteristic
100	#11719135	C₂²	1	1	yes	characteristic
101	#11719135	C₂²	1	1	yes	characteristic
102	#11719135	C₂²	1	1	yes	characteristic
103	C₄×C₂²⋊#261	C₂²	1	1	yes	characteristic
104	C₄×C₂²⋊#261	C₂²	1	1	yes	characteristic
105	C₄×C₂²⋊#261	C₂²	1	1	yes	characteristic
106	C₄×C₂²⋊#261	C₂²	1	1	yes	characteristic
107	C₄×C₂²⋊#261	C₂²	1	1	yes	characteristic
108	C₄×C₂²⋊#261	C₂²	1	1	yes	characteristic
109	C₂×(C₂×#261)⋊C₄	C₂²	1	1	yes	characteristic
110	C₂×(C₂×#261)⋊C₄	C₂²	1	1	yes	characteristic
111	#11719083	C₂²	1	1	yes	characteristic
112	#11719083	C₂²	1	1	yes	characteristic
113	#11719083	C₂²	1	1	yes	characteristic
114	#11719083	C₂²	1	1	yes	characteristic
115	#11719083	C₂²	1	1	yes	characteristic
116	#11719083	C₂²	1	1	yes	characteristic
117	#11719082	C₂²	1	1	yes	characteristic
118	#11719082	C₂²	1	1	yes	characteristic
119	#11719082	C₂²	1	1	yes	characteristic
120	#11719082	C₂²	1	1	yes	characteristic
121	#11719082	C₂²	1	1	yes	characteristic
122	#11719082	C₂²	1	1	yes	characteristic
123	#11719082	C₂²	1	1	yes	characteristic
124	#11719082	C₂²	1	1	yes	characteristic
125	#11719082	C₂²	1	1	yes	characteristic
126	#11719082	C₂²	1	1	yes	characteristic
127	#11719082	C₂²	1	1	yes	characteristic
128	#11719082	C₂²	1	1	yes	characteristic
129	#11719082	C₂²	1	1	yes	characteristic
130	#11719082	C₂²	1	1	yes	characteristic
131	#11719082	C₂²	1	1	yes	characteristic
132	#11719082	C₂²	1	1	yes	characteristic
133	#11719082	C₂²	1	1	yes	characteristic
134	#11719082	C₂²	1	1	yes	characteristic
135	#11719082	C₂²	1	1	yes	characteristic
136	#11719082	C₂²	1	1	yes	characteristic
137	#11719082	C₂²	1	1	yes	characteristic
138	#11719082	C₂²	1	1	yes	characteristic
139	#11719082	C₂²	1	1	yes	characteristic
140	#11719082	C₂²	1	1	yes	characteristic
141	#11719082	C₂²	1	1	yes	characteristic
142	#11719082	C₂²	1	1	yes	characteristic
143	C₄⋊C₄×#261	C₂²	1	1	yes	characteristic
144	C₄⋊C₄×#261	C₂²	1	1	yes	characteristic
145	C₄⋊C₄×#261	C₂²	1	1	yes	characteristic
146	C₄⋊C₄×#261	C₂²	1	1	yes	characteristic
147	C₄⋊C₄×#261	C₂²	1	1	yes	characteristic
148	C₄⋊C₄×#261	C₂²	1	1	yes	characteristic
149	C₄⋊C₄×#261	C₂²	1	1	yes	characteristic
150	C₄⋊C₄×#261	C₂²	1	1	yes	characteristic
151	#11719071	C₂²	1	1	yes	characteristic
152	#11719071	C₂²	1	1	yes	characteristic
153	#11719071	C₂²	1	1	yes	characteristic
154	#11719071	C₂²	1	1	yes	characteristic
155	#11719071	C₂²	1	1	yes	characteristic
156	#11719071	C₂²	1	1	yes	characteristic
157	#11719071	C₂²	1	1	yes	characteristic
158	#11719071	C₂²	1	1	yes	characteristic
159	#11719071	C₂²	1	1	yes	characteristic
160	#11719071	C₂²	1	1	yes	characteristic
161	#11719071	C₂²	1	1	yes	characteristic
162	#11719071	C₂²	1	1	yes	characteristic
163	#11719071	C₂²	1	1	yes	characteristic
164	#11719071	C₂²	1	1	yes	characteristic
165	#11719071	C₂²	1	1	yes	characteristic
166	#11719071	C₂²	1	1	yes	characteristic
167	#11719071	C₂²	1	1	yes	characteristic
168	#11719071	C₂²	1	1	yes	characteristic
169	#11719071	C₂²	1	1	yes	characteristic
170	#11719071	C₂²	1	1	yes	characteristic
171	#11719071	C₂²	1	1	yes	characteristic
172	#11719071	C₂²	1	1	yes	characteristic
173	#11719070	C₂²	1	1	yes	characteristic
174	#11719070	C₂²	1	1	yes	characteristic
175	#11719070	C₂²	1	1	yes	characteristic
176	#11719070	C₂²	1	1	yes	characteristic
177	#11719070	C₂²	1	1	yes	characteristic
178	#11719070	C₂²	1	1	yes	characteristic
179	#11719070	C₂²	1	1	yes	characteristic
180	#11719070	C₂²	1	1	yes	characteristic
181	#11719070	C₂²	1	1	yes	characteristic
182	#11719070	C₂²	1	1	yes	characteristic
183	C₂²⋊C₄×#261	C₂²	1	1	yes	characteristic
184	C₂²⋊C₄×#261	C₂²	1	1	yes	characteristic
185	C₂²⋊C₄×#261	C₂²	1	1	yes	characteristic
186	C₂²⋊C₄×#261	C₂²	1	1	yes	characteristic
187	C₂²⋊C₄×#261	C₂²	1	1	yes	characteristic
188	C₂²⋊C₄×#261	C₂²	1	1	yes	characteristic
189	C₂²⋊C₄×#261	C₂²	1	1	yes	characteristic
190	C₂²⋊C₄×#261	C₂²	1	1	yes	characteristic
191	#11719061	C₂²	1	1	yes	characteristic
192	#11719061	C₂²	1	1	yes	characteristic
193	#11719060	C₂²	1	1	yes	characteristic
194	#11719060	C₂²	1	1	yes	characteristic
195	#11719059	C₂²	1	1	yes	characteristic
196	C₄×C₄⋊#261	C₂²	1	1	yes	characteristic
197	C₄×C₄⋊#261	C₂²	1	1	yes	characteristic
198	C₄×C₄⋊#261	C₂²	1	1	yes	characteristic
199	C₄×C₄⋊#261	C₂²	1	1	yes	characteristic
200	#11719057	C₂²	1	1	yes	characteristic
201	#11719057	C₂²	1	1	yes	characteristic
202	#11719057	C₂²	1	1	yes	characteristic
203	C₂³×#261	C₂³	1	1	yes	characteristic
204	C₂³×#261	C₂³	1	1	yes	characteristic
205	C₂³×#261	C₂³	1	1	yes	characteristic
206	C₂³×#261	C₂³	1	1	yes	characteristic
207	C₂³×#261	C₂³	1	1	yes	characteristic
208	C₂³×#261	C₂³	1	1	yes	characteristic
209	C₂×D₄×D₁₃	C₂³	1	1	yes	characteristic
210	C₂×D₄×D₁₃	C₂³	1	1	yes	characteristic
211	C₂×D₄×D₁₃	C₂³	1	1	yes	characteristic
212	C₂×D₄×D₁₃	C₂³	1	1	yes	characteristic
213	C₂×D₄×D₁₃	C₂³	1	1	yes	characteristic
214	C₂×D₄×D₁₃	C₂³	1	1	yes	characteristic
215	C₂²×C₄×D₁₃	C₂³	1	1	yes	characteristic
216	C₂²×C₄×D₁₃	C₂³	1	1	yes	characteristic
217	C₂²×C₄×D₁₃	C₂³	1	1	yes	characteristic
218	C₂²×C₄×D₁₃	C₂³	1	1	yes	characteristic
219	C₂²×C₄×D₁₃	C₂³	1	1	yes	characteristic
220	C₂²×C₄×D₁₃	C₂³	1	1	yes	characteristic
221	C₂×C₂²⋊#261	C₂³	1	1	yes	characteristic
222	C₂×C₂²⋊#261	C₂³	1	1	yes	characteristic
223	C₂×C₂²⋊#261	C₂³	1	1	yes	characteristic
224	C₂×C₂²⋊#261	C₂³	1	1	yes	characteristic
225	C₂×C₂²⋊#261	C₂³	1	1	yes	characteristic
226	C₂×C₂²⋊#261	C₂³	1	1	yes	characteristic
227	C₂×C₂²⋊#261	C₂³	1	1	yes	characteristic
228	C₂×C₂²⋊#261	C₂³	1	1	yes	characteristic
229	C₂×C₂²⋊#261	C₂³	1	1	yes	characteristic
230	C₂×C₂²⋊#261	C₂³	1	1	yes	characteristic
231	C₂×C₂²⋊#261	C₂³	1	1	yes	characteristic
232	C₂×C₂²⋊#261	C₂³	1	1	yes	characteristic
233	C₂×C₂²⋊#261	C₂³	1	1	yes	characteristic
234	C₂×C₂²⋊#261	C₂³	1	1	yes	characteristic
235	C₂×C₂²⋊#261	C₂³	1	1	yes	characteristic
236	C₂×C₂²⋊#261	C₂³	1	1	yes	characteristic
237	C₂×C₂²⋊#261	C₂³	1	1	yes	characteristic
238	C₂×C₂²⋊#261	C₂³	1	1	yes	characteristic
239	C₂×C₂²⋊#261	C₂³	1	1	yes	characteristic
240	C₂×C₂²⋊#261	C₂³	1	1	yes	characteristic
241	C₂×C₂²⋊#261	C₂³	1	1	yes	characteristic
242	C₂×C₂²⋊#261	C₂³	1	1	yes	characteristic
243	C₂×C₂²⋊#261	C₂³	1	1	yes	characteristic
244	C₂×C₂²⋊#261	C₂³	1	1	yes	characteristic
245	C₂×C₂²⋊#261	C₂³	1	1	yes	characteristic
246	C₂×C₂²⋊#261	C₂³	1	1	yes	characteristic
247	D₄×#261	—	4	2	no	—
248	D₄×#261	—	4	2	no	—
249	#88237	—	4	2	no	—
250	#88237	—	4	2	no	—
251	#88237	—	4	2	no	—
252	C₂×C₄⋊#261	C₂³	1	1	yes	characteristic
253	C₂×C₄⋊#261	C₂³	1	1	yes	characteristic
254	C₂×C₄⋊#261	C₂³	1	1	yes	characteristic
255	C₂×C₄⋊#261	C₂³	1	1	yes	characteristic
256	C₂×C₄⋊#261	C₂³	1	1	yes	characteristic
257	C₂×C₄⋊#261	C₂³	1	1	yes	characteristic
258	C₂×C₄⋊#261	C₂³	1	1	yes	characteristic
259	C₂×C₄⋊#261	C₂³	1	1	yes	characteristic
260	C₂×C₄⋊#261	C₂³	1	1	yes	characteristic
261	C₂×C₄⋊#261	C₂³	1	1	yes	characteristic
262	C₂×C₄⋊#261	C₂³	1	1	yes	characteristic
263	C₂×C₄⋊#261	C₂³	1	1	yes	characteristic
264	C₂×C₄⋊#261	C₂³	1	1	yes	characteristic
265	C₂×C₄⋊#261	C₂³	1	1	yes	characteristic
266	C₂×C₄⋊#261	C₂³	1	1	yes	characteristic
267	C₂×C₄⋊#261	C₂³	1	1	yes	characteristic
268	C₂×C₄⋊#261	C₂³	1	1	yes	characteristic
269	C₂×C₄⋊#261	C₂³	1	1	yes	characteristic
270	C₂×C₄⋊#261	C₂³	1	1	yes	characteristic
271	C₂×C₄⋊#261	C₂³	1	1	yes	characteristic
272	C₂×C₄×#261	—	4	2	no	—
273	C₂×C₄×#261	C₂³	1	1	yes	characteristic
274	C₂×C₄×#261	C₂³	1	1	yes	characteristic
275	C₂×C₄×#261	C₂³	1	1	yes	characteristic
276	C₂×C₄×#261	C₂³	1	1	yes	characteristic
277	C₂×C₄×#261	C₂³	1	1	yes	characteristic
278	C₂×C₄×#261	C₂³	1	1	yes	characteristic
279	C₂×C₄×#261	C₂³	1	1	yes	characteristic
280	C₂×C₄×#261	C₂³	1	1	yes	characteristic
281	C₂×C₄×#261	C₂³	1	1	yes	characteristic
282	C₂×C₄×#261	C₂³	1	1	yes	characteristic
283	C₂×C₄×#261	C₂³	1	1	yes	characteristic
284	C₂×C₄×#261	C₂³	1	1	yes	characteristic
285	C₂×C₄×#261	C₂³	1	1	yes	characteristic
286	C₂×C₄×#261	C₂³	1	1	yes	characteristic
287	C₂×C₄×#261	C₂³	1	1	yes	characteristic
288	C₂×C₄×#261	C₂³	1	1	yes	characteristic
289	C₂×C₄×#261	C₂³	1	1	yes	characteristic
290	C₂×C₄×#261	C₂³	1	1	yes	characteristic
291	C₂×C₄×#261	C₂³	1	1	yes	characteristic
292	C₂×C₄×#261	C₂³	1	1	yes	characteristic
293	C₁₃×#126	C₂×C₄	1	1	yes	characteristic, complemented
294	C₁₃×#126	C₂×C₄	1	1	yes	characteristic, complemented
295	C₁₃×#125	C₂×C₄	1	1	yes	characteristic, complemented
296	C₁₃×#123	C₂×C₄	1	1	yes	characteristic, complemented
297	C₁₃×#123	C₂×C₄	1	1	yes	characteristic, complemented
298	C₁₃×#121	C₂×C₄	1	1	yes	characteristic
299	C₁₃×#121	C₂×C₄	1	1	yes	characteristic, complemented
300	C₁₃×#121	C₂×C₄	1	1	yes	characteristic, complemented
301	C₁₃×#121	C₂×C₄	1	1	yes	characteristic, complemented
302	C₄×D₄×C₁₃	C₂×C₄	1	1	yes	characteristic, complemented
303	C₄×D₄×C₁₃	C₂×C₄	1	1	yes	characteristic, complemented
304	C₄×D₄×C₁₃	C₂×C₄	1	1	yes	characteristic, complemented
305	C₄×D₄×C₁₃	C₂×C₄	1	1	yes	characteristic, complemented
306	C₁₃×#117	C₂×C₄	1	1	yes	characteristic, complemented
307	C₂×C₁₃×C₄⋊C₄	C₂×C₄	1	1	yes	characteristic, complemented
308	#88193	C₂×C₄	1	1	yes	characteristic
309	#88193	C₂×C₄	1	1	yes	characteristic
310	#88193	C₂×C₄	1	1	yes	characteristic, complemented
311	#88193	C₂×C₄	1	1	yes	characteristic, complemented
312	#88193	C₂×C₄	1	1	yes	characteristic, complemented
313	#88193	C₂×C₄	1	1	yes	characteristic, complemented
314	#88193	C₂×C₄	1	1	yes	characteristic, complemented
315	#88193	C₂×C₄	1	1	yes	characteristic, complemented
316	#88192	C₂×C₄	1	1	yes	characteristic
317	#88192	C₂×C₄	1	1	yes	characteristic, complemented
318	#88192	C₂×C₄	1	1	yes	characteristic, complemented
319	#88192	C₂×C₄	1	1	yes	characteristic, complemented
320	#88189	C₂×C₄	1	1	yes	characteristic, complemented
321	#88189	C₂×C₄	1	1	yes	characteristic, complemented
322	D₄×Dic₁₃	C₂×C₄	1	1	yes	characteristic, complemented
323	D₄×Dic₁₃	C₂×C₄	1	1	yes	characteristic, complemented
324	D₄×Dic₁₃	C₂×C₄	1	1	yes	characteristic, complemented
325	D₄×Dic₁₃	C₂×C₄	1	1	yes	characteristic, complemented
326	#88184	C₂×C₄	1	1	yes	characteristic
327	#88184	C₂×C₄	1	1	yes	characteristic, complemented
328	#88184	C₂×C₄	1	1	yes	characteristic, complemented
329	#88184	C₂×C₄	1	1	yes	characteristic, complemented
330	#88183	C₂×C₄	1	1	yes	characteristic, complemented
331	#88183	C₂×C₄	1	1	yes	characteristic, complemented
332	C₄×C₂²⋊D₁₃	C₂×C₄	1	1	yes	characteristic, complemented
333	C₄×C₂²⋊D₁₃	C₂×C₄	1	1	yes	characteristic, complemented
334	C₄×C₂²⋊D₁₃	C₂×C₄	1	1	yes	characteristic, complemented
335	C₄×C₂²⋊D₁₃	C₂×C₄	1	1	yes	characteristic, complemented
336	C₄×C₂²⋊D₁₃	C₂×C₄	1	1	yes	characteristic, complemented
337	C₄×C₂²⋊D₁₃	C₂×C₄	1	1	yes	characteristic, complemented
338	C₄×C₂²⋊D₁₃	C₂×C₄	1	1	yes	characteristic, complemented
339	C₄×C₂²⋊D₁₃	C₂×C₄	1	1	yes	characteristic, complemented
340	#88180	C₂×C₄	1	1	yes	characteristic, complemented
341	C₂×C₄⋊Dic₁₃	C₂×C₄	1	1	yes	characteristic, complemented
342	C₂×#6101	C₂×C₄	1	1	yes	characteristic, complemented
343	C₂×#6101	C₂×C₄	1	1	yes	characteristic, complemented
344	#88152	C₂×C₄	1	1	yes	characteristic, complemented
345	#88152	C₂×C₄	1	1	yes	characteristic, complemented
346	#88152	C₂×C₄	1	1	yes	characteristic, complemented
347	#88152	C₂×C₄	1	1	yes	characteristic, complemented
348	#88152	C₂×C₄	1	1	yes	characteristic, complemented
349	#88152	C₂×C₄	1	1	yes	characteristic, complemented
350	#88149	C₂×C₄	1	1	yes	characteristic
351	#88149	C₂×C₄	1	1	yes	characteristic, complemented
352	#88149	C₂×C₄	1	1	yes	characteristic, complemented
353	#88149	C₂×C₄	1	1	yes	characteristic, complemented
354	#88148	C₂×C₄	1	1	yes	characteristic, complemented
355	#88148	C₂×C₄	1	1	yes	characteristic, complemented
356	#88148	C₂×C₄	1	1	yes	characteristic, complemented
357	#88148	C₂×C₄	1	1	yes	characteristic, complemented
358	#88147	C₂×C₄	1	1	yes	characteristic, complemented
359	#88147	C₂×C₄	1	1	yes	characteristic, complemented
360	#88147	C₂×C₄	1	1	yes	characteristic, complemented
361	#88147	C₂×C₄	1	1	yes	characteristic, complemented
362	#88146	C₂×C₄	1	1	yes	characteristic, complemented
363	#88146	C₂×C₄	1	1	yes	characteristic, complemented
364	C₄⋊C₄×D₁₃	C₂×C₄	1	1	yes	characteristic, complemented
365	C₄⋊C₄×D₁₃	C₂×C₄	1	1	yes	characteristic, complemented
366	C₄⋊C₄×D₁₃	C₂×C₄	1	1	yes	characteristic, complemented
367	C₄⋊C₄×D₁₃	C₂×C₄	1	1	yes	characteristic, complemented
368	C₄⋊C₄×D₁₃	C₂³	1	1	yes	characteristic
369	C₄⋊C₄×D₁₃	C₂³	1	1	yes	characteristic
370	C₄⋊C₄×D₁₃	C₂³	1	1	yes	characteristic
371	C₄⋊C₄×D₁₃	C₂³	1	1	yes	characteristic
372	C₄⋊C₄×D₁₃	C₂³	1	1	yes	characteristic
373	C₄⋊C₄×D₁₃	C₂³	1	1	yes	characteristic
374	C₄⋊C₄×D₁₃	C₂³	1	1	yes	characteristic
375	C₄⋊C₄×D₁₃	C₂³	1	1	yes	characteristic
376	C₄⋊C₄×D₁₃	C₂³	1	1	yes	characteristic
377	C₄⋊C₄×D₁₃	C₂³	1	1	yes	characteristic
378	#88144	C₂×C₄	1	1	yes	characteristic, complemented
379	#88144	C₂×C₄	1	1	yes	characteristic, complemented
380	#88143	C₂×C₄	1	1	yes	characteristic, complemented
381	#88143	C₂×C₄	1	1	yes	characteristic, complemented
382	#88143	C₂×C₄	1	1	yes	characteristic, complemented
383	#88143	C₂×C₄	1	1	yes	characteristic, complemented
384	#88140	C₂×C₄	1	1	yes	characteristic, complemented
385	#88140	C₂×C₄	1	1	yes	characteristic, complemented
386	#88138	C₂×C₄	1	1	yes	characteristic
387	#88138	C₂×C₄	1	1	yes	characteristic
388	#88138	C₂×C₄	1	1	yes	characteristic, complemented
389	#88138	C₂×C₄	1	1	yes	characteristic, complemented
390	#88138	C₂×C₄	1	1	yes	characteristic, complemented
391	#88138	C₂×C₄	1	1	yes	characteristic, complemented
392	#88138	C₂×C₄	1	1	yes	characteristic, complemented
393	#88138	C₂×C₄	1	1	yes	characteristic, complemented
394	#88137	C₂×C₄	1	1	yes	characteristic, complemented
395	#88137	C₂×C₄	1	1	yes	characteristic, complemented
396	#88137	C₂×C₄	1	1	yes	characteristic, complemented
397	#88137	C₂×C₄	1	1	yes	characteristic, complemented
398	#88135	C₂×C₄	1	1	yes	characteristic, complemented
399	#88135	C₂×C₄	1	1	yes	characteristic, complemented
400	#88135	C₂×C₄	1	1	yes	characteristic, complemented
401	#88135	C₂×C₄	1	1	yes	characteristic, complemented
402	#88135	C₂×C₄	1	1	yes	characteristic, complemented
403	#88135	C₂×C₄	1	1	yes	characteristic, complemented
404	#88135	C₂×C₄	1	1	yes	characteristic, complemented
405	#88135	C₂×C₄	1	1	yes	characteristic, complemented
406	C₂²⋊C₄×D₁₃	C₂³	1	1	yes	characteristic
407	C₂²⋊C₄×D₁₃	C₂³	1	1	yes	characteristic
408	C₂²⋊C₄×D₁₃	C₂³	1	1	yes	characteristic
409	C₂²⋊C₄×D₁₃	C₂³	1	1	yes	characteristic
410	C₂²⋊C₄×D₁₃	C₂³	1	1	yes	characteristic
411	C₂²⋊C₄×D₁₃	C₂³	1	1	yes	characteristic
412	C₂²⋊C₄×D₁₃	C₂³	1	1	yes	characteristic
413	C₂²⋊C₄×D₁₃	C₂³	1	1	yes	characteristic
414	C₂²⋊C₄×D₁₃	C₂³	1	1	yes	characteristic
415	C₂²⋊C₄×D₁₃	C₂³	1	1	yes	characteristic
416	#88133	C₂×C₄	1	1	yes	characteristic, complemented
417	#88133	C₂×C₄	1	1	yes	characteristic, complemented
418	#88133	C₂×C₄	1	1	yes	characteristic, complemented
419	#88133	C₂×C₄	1	1	yes	characteristic, complemented
420	#88133	C₂×C₄	1	1	yes	characteristic, complemented
421	#88133	C₂×C₄	1	1	yes	characteristic, complemented
422	#88131	C₂×C₄	1	1	yes	characteristic, complemented
423	#88131	C₂×C₄	1	1	yes	characteristic, complemented
424	#88130	C₂×C₄	1	1	yes	characteristic, complemented
425	#88130	C₂×C₄	1	1	yes	characteristic, complemented
426	C₄×D₅₂	C₂×C₄	1	1	yes	characteristic, complemented
427	C₄×D₅₂	C₂×C₄	1	1	yes	characteristic, complemented
428	C₄×D₅₂	C₂×C₄	1	1	yes	characteristic, complemented
429	C₄×D₅₂	C₂×C₄	1	1	yes	characteristic, complemented
430	#88126	C₂×C₄	1	1	yes	characteristic, complemented
431	#88126	C₂×C₄	1	1	yes	characteristic, complemented
432	C₄²×D₁₃	C₂³	1	1	yes	characteristic
433	C₄²×D₁₃	C₂³	1	1	yes	characteristic
434	C₄²×D₁₃	C₂³	1	1	yes	characteristic
435	#88124	C₂×C₄	1	1	yes	characteristic, complemented
436	(C₂×#261)⋊C₄	C₂³	1	1	yes	characteristic
437	(C₂×#261)⋊C₄	C₂³	1	1	yes	characteristic
438	(C₂×#261)⋊C₄	C₂³	1	1	yes	characteristic
439	(C₂×#261)⋊C₄	C₂³	1	1	yes	characteristic
440	(C₂×#261)⋊C₄	C₂³	1	1	yes	characteristic
441	(C₂×#261)⋊C₄	C₂³	1	1	yes	characteristic
442	(C₂×#261)⋊C₄	C₂³	1	1	yes	characteristic
443	(C₂×#261)⋊C₄	C₂³	1	1	yes	characteristic
444	(C₂×#261)⋊C₄	C₂³	1	1	yes	characteristic
445	(C₂×#261)⋊C₄	C₂³	1	1	yes	characteristic
446	(C₂×#261)⋊C₄	C₂³	1	1	yes	characteristic
447	(C₂×#261)⋊C₄	C₂³	1	1	yes	characteristic
448	(C₂×#261)⋊C₄	C₂³	1	1	yes	characteristic
449	(C₂×#261)⋊C₄	C₂³	1	1	yes	characteristic
450	(C₂×#261)⋊C₄	C₂³	1	1	yes	characteristic
451	(C₂×#261)⋊C₄	C₂³	1	1	yes	characteristic
452	(C₂×#261)⋊C₄	C₂³	1	1	yes	characteristic
453	(C₂×#261)⋊C₄	C₂³	1	1	yes	characteristic
454	(C₂×#261)⋊C₄	C₂³	1	1	yes	characteristic
455	(C₂×#261)⋊C₄	C₂³	1	1	yes	characteristic
456	(C₂×#261)⋊C₄	C₂³	1	1	yes	characteristic
457	(C₂×#261)⋊C₄	C₂³	1	1	yes	characteristic
458	(C₂×#261)⋊C₄	C₂³	1	1	yes	characteristic
459	(C₂×#261)⋊C₄	C₂³	1	1	yes	characteristic
460	(C₂×#261)⋊C₄	C₂³	1	1	yes	characteristic
461	(C₂×#261)⋊C₄	C₂³	1	1	yes	characteristic
462	(C₂×#261)⋊C₄	C₂³	1	1	yes	characteristic
463	(C₂×#261)⋊C₄	C₂³	1	1	yes	characteristic
464	(C₂×#261)⋊C₄	C₂³	1	1	yes	characteristic
465	(C₂×#261)⋊C₄	C₂³	1	1	yes	characteristic
466	(C₂×#261)⋊C₄	C₂³	1	1	yes	characteristic
467	(C₂×#261)⋊C₄	C₂³	1	1	yes	characteristic
468	(C₂×#261)⋊C₄	C₂³	1	1	yes	characteristic
469	(C₂×#261)⋊C₄	C₂³	1	1	yes	characteristic
470	(C₂×#261)⋊C₄	C₂³	1	1	yes	characteristic
471	(C₂×#261)⋊C₄	C₂³	1	1	yes	characteristic
472	(C₂×#261)⋊C₄	C₂³	1	1	yes	characteristic
473	(C₂×#261)⋊C₄	C₂³	1	1	yes	characteristic
474	(C₂×#261)⋊C₄	C₂³	1	1	yes	characteristic
475	(C₂×#261)⋊C₄	C₂³	1	1	yes	characteristic
476	(C₂×#261)⋊C₄	C₂³	1	1	yes	characteristic
477	(C₂×#261)⋊C₄	C₂³	1	1	yes	characteristic
478	(C₂×#261)⋊C₄	C₂³	1	1	yes	characteristic
479	(C₂×#261)⋊C₄	C₂³	1	1	yes	characteristic
480	(C₂×#261)⋊C₄	C₂³	1	1	yes	characteristic
481	(C₂×#261)⋊C₄	C₂³	1	1	yes	characteristic
482	(C₂×#261)⋊C₄	C₂³	1	1	yes	characteristic
483	(C₂×#261)⋊C₄	C₂³	1	1	yes	characteristic
484	#34509	—	13	1	no	maximal, Sylow
485	C₂³×D₁₃	C₂⁴	1	1	yes	characteristic
486	C₂³×D₁₃	C₂⁴	1	1	yes	characteristic
487	C₂³×D₁₃	C₂⁴	1	1	yes	characteristic
488	C₂³×D₁₃	C₂⁴	1	1	yes	characteristic
489	C₂²×#261	—	2	2	no	—
490	C₂²×#261	—	2	2	no	—
491	C₂²×#261	—	4	1	no	—
492	C₂²×#261	—	4	1	no	—
493	C₂²×#261	—	4	1	no	—
494	C₂²×#261	—	4	1	no	—
495	C₂²×#261	—	4	1	no	—
496	C₂²×#261	—	4	1	no	—
497	C₂²×#261	—	4	1	no	—
498	C₂²×#261	—	4	1	no	—
499	C₂²×#261	—	4	1	no	—
500	C₂²×#261	—	4	1	no	—
501	C₂²×#261	—	4	1	no	—
502	C₂²×#261	—	4	1	no	—
503	C₂²×#261	—	4	1	no	—
504	C₂²×#261	—	4	1	no	—
505	C₂²×#261	—	4	1	no	—
506	C₂²×#261	—	4	1	no	—
507	C₂²×#261	C₂⁴	1	1	yes	characteristic
508	C₂²×#261	C₂⁴	1	1	yes	characteristic
509	C₂²×#261	C₂⁴	1	1	yes	characteristic
510	C₂²×#261	C₂⁴	1	1	yes	characteristic
511	C₂²×#261	C₂⁴	1	1	yes	characteristic
512	C₂²×#261	C₂⁴	1	1	yes	characteristic
513	C₂²×#261	C₂⁴	1	1	yes	characteristic
514	C₂²×#261	C₂⁴	1	1	yes	characteristic
515	C₂²×#261	C₂⁴	1	1	yes	characteristic
516	C₂²×#261	C₂⁴	1	1	yes	characteristic
517	C₂²×#261	C₂⁴	1	1	yes	characteristic
518	C₂²×#261	C₂⁴	1	1	yes	characteristic
519	C₂²×#261	C₂⁴	1	1	yes	characteristic
520	C₂²×#261	C₂⁴	1	1	yes	characteristic
521	C₂²×#261	C₂⁴	1	1	yes	characteristic
522	C₂²×#261	C₂⁴	1	1	yes	characteristic
523	C₂×D₄×C₁₃	C₂²×C₄	1	1	yes	characteristic
524	C₂×D₄×C₁₃	C₂²×C₄	1	1	yes	characteristic
525	C₂×D₄×C₁₃	C₂²×C₄	1	1	yes	characteristic
526	C₂×D₄×C₁₃	C₂²×C₄	1	1	yes	characteristic
527	C₂×D₄×C₁₃	C₂²×C₄	1	1	yes	characteristic
528	C₂×D₄×C₁₃	C₂²×C₄	1	1	yes	characteristic
529	C₂²×C₄×C₁₃	C₂²×C₄	1	1	yes	characteristic
530	C₂²×C₄×C₁₃	C₂²×C₄	1	1	yes	characteristic
531	C₂²×C₄×C₁₃	C₂²×C₄	1	1	yes	characteristic
532	C₂²×C₄×C₁₃	C₂²×C₄	1	1	yes	characteristic
533	C₂²×C₄×C₁₃	C₂²×C₄	1	1	yes	characteristic
534	C₂²×C₄×C₁₃	C₂²×C₄	1	1	yes	characteristic
535	C₂×C₂²⋊D₁₃	C₂²×C₄	1	1	yes	characteristic
536	C₂×C₂²⋊D₁₃	C₂²×C₄	1	1	yes	characteristic
537	C₂×C₂²⋊D₁₃	C₂²×C₄	1	1	yes	characteristic
538	C₂×C₂²⋊D₁₃	C₂²×C₄	1	1	yes	characteristic
539	C₂×C₂²⋊D₁₃	C₂²×C₄	1	1	yes	characteristic
540	C₂×C₂²⋊D₁₃	C₂²×C₄	1	1	yes	characteristic
541	C₂×C₂²⋊D₁₃	C₂²×C₄	1	1	yes	characteristic
542	C₂×C₂²⋊D₁₃	C₂²×C₄	1	1	yes	characteristic
543	C₂×C₂²⋊D₁₃	C₂²×C₄	1	1	yes	characteristic
544	C₂×C₂²⋊D₁₃	C₂²×C₄	1	1	yes	characteristic
545	C₂×C₂²⋊D₁₃	C₂²×C₄	1	1	yes	characteristic
546	C₂×C₂²⋊D₁₃	C₂²×C₄	1	1	yes	characteristic
547	C₂²×Dic₁₃	C₂²×C₄	1	1	yes	characteristic
548	C₂²×Dic₁₃	C₂²×C₄	1	1	yes	characteristic
549	C₂²×Dic₁₃	C₂²×C₄	1	1	yes	characteristic
550	C₂²×Dic₁₃	C₂²×C₄	1	1	yes	characteristic
551	C₂²×Dic₁₃	C₂²×C₄	1	1	yes	characteristic
552	C₂²×Dic₁₃	C₂²×C₄	1	1	yes	characteristic
553	D₄×D₁₃	—	4	1	no	—
554	D₄×D₁₃	—	4	1	no	—
555	D₄×D₁₃	—	4	1	no	—
556	D₄×D₁₃	—	4	1	no	—
557	D₄×D₁₃	—	4	1	no	—
558	D₄×D₁₃	—	4	1	no	—
559	D₄×D₁₃	—	4	1	no	—
560	D₄×D₁₃	—	4	1	no	—
561	D₄×D₁₃	—	4	1	no	—
562	D₄×D₁₃	—	4	1	no	—
563	D₄×D₁₃	—	4	1	no	—
564	D₄×D₁₃	—	4	1	no	—
565	C₂×D₅₂	C₂²×C₄	1	1	yes	characteristic
566	C₂×D₅₂	C₂²×C₄	1	1	yes	characteristic
567	C₂×D₅₂	C₂²×C₄	1	1	yes	characteristic
568	C₂×D₅₂	C₂²×C₄	1	1	yes	characteristic
569	C₂×D₅₂	C₂²×C₄	1	1	yes	characteristic
570	C₂×D₅₂	C₂²×C₄	1	1	yes	characteristic
571	C₂×C₄×D₁₃	—	4	1	no	—
572	C₂×C₄×D₁₃	—	4	1	no	—
573	C₂×C₄×D₁₃	—	4	1	no	—
574	C₂×C₄×D₁₃	—	4	1	no	—
575	C₂×C₄×D₁₃	—	4	1	no	—
576	C₂×C₄×D₁₃	—	4	1	no	—
577	C₂×C₄×D₁₃	—	4	1	no	—
578	C₂×C₄×D₁₃	—	4	1	no	—
579	C₂×C₄×D₁₃	—	4	1	no	—
580	C₂×C₄×D₁₃	—	4	1	no	—
581	C₂×C₄×D₁₃	—	4	1	no	—
582	C₂×C₄×D₁₃	—	4	1	no	—
583	C₂×C₄×D₁₃	C₂²×C₄	1	1	yes	characteristic
584	C₂×C₄×D₁₃	C₂²×C₄	1	1	yes	characteristic
585	C₂×C₄×D₁₃	C₂²×C₄	1	1	yes	characteristic
586	C₂×C₄×D₁₃	C₂²×C₄	1	1	yes	characteristic
587	C₂×C₄×D₁₃	C₂²×C₄	1	1	yes	characteristic
588	C₂×C₄×D₁₃	C₂²×C₄	1	1	yes	characteristic
589	C₂×C₄×D₁₃	C₂²×C₄	1	1	yes	characteristic
590	C₂×C₄×D₁₃	C₂²×C₄	1	1	yes	characteristic
591	C₂×C₄×D₁₃	C₂²×C₄	1	1	yes	characteristic
592	C₂×C₄×D₁₃	C₂²×C₄	1	1	yes	characteristic
593	C₂×C₄×D₁₃	C₂²×C₄	1	1	yes	characteristic
594	C₂×C₄×D₁₃	C₂²×C₄	1	1	yes	characteristic
595	C₂×C₄×D₁₃	C₂⁴	1	1	yes	characteristic
596	C₂×C₄×D₁₃	C₂⁴	1	1	yes	characteristic
597	C₂×C₄×D₁₃	C₂⁴	1	1	yes	characteristic
598	C₂×C₄×D₁₃	C₂⁴	1	1	yes	characteristic
599	C₂×C₄×D₁₃	C₂⁴	1	1	yes	characteristic
600	C₂×C₄×D₁₃	C₂⁴	1	1	yes	characteristic
601	C₂×C₄×D₁₃	C₂⁴	1	1	yes	characteristic
602	C₂×C₄×D₁₃	C₂⁴	1	1	yes	characteristic
603	C₂×C₄×D₁₃	C₂⁴	1	1	yes	characteristic
604	C₂×C₄×D₁₃	C₂⁴	1	1	yes	characteristic
605	C₂×C₄×D₁₃	C₂⁴	1	1	yes	characteristic
606	C₂²⋊#261	—	2	2	no	—
607	C₂²⋊#261	—	2	2	no	—
608	C₂²⋊#261	—	4	1	no	—
609	C₂²⋊#261	—	4	1	no	—
610	C₂²⋊#261	—	4	1	no	—
611	C₂²⋊#261	—	4	1	no	—
612	C₂²⋊#261	—	4	1	no	—
613	C₂²⋊#261	—	4	1	no	—
614	C₂²⋊#261	—	4	1	no	—
615	C₂²⋊#261	—	4	1	no	—
616	C₂²⋊#261	—	4	1	no	—
617	C₂²⋊#261	—	4	1	no	—
618	C₂²⋊#261	—	4	1	no	—
619	C₂²⋊#261	—	4	1	no	—
620	C₂²⋊#261	—	4	1	no	—
621	C₂²⋊#261	—	4	1	no	—
622	C₂²⋊#261	—	4	1	no	—
623	C₂²⋊#261	—	4	1	no	—
624	C₂²⋊#261	—	4	1	no	—
625	C₂²⋊#261	—	4	1	no	—
626	C₂²⋊#261	—	4	1	no	—
627	C₂²⋊#261	—	4	1	no	—
628	C₂²⋊#261	—	4	1	no	—
629	C₂²⋊#261	—	4	1	no	—
630	C₂²⋊#261	—	4	1	no	—
631	C₂²⋊#261	—	4	1	no	—
632	C₄⋊#261	—	2	2	no	—
633	C₄⋊#261	—	2	2	no	—
634	C₄⋊#261	—	4	1	no	—
635	C₄⋊#261	—	4	1	no	—
636	C₄⋊#261	—	4	1	no	—
637	C₄⋊#261	—	4	1	no	—
638	C₄⋊#261	—	4	1	no	—
639	C₄⋊#261	—	4	1	no	—
640	C₄⋊#261	—	4	1	no	—
641	C₄⋊#261	—	4	1	no	—
642	C₄⋊#261	—	4	1	no	—
643	C₄⋊#261	—	4	1	no	—
644	C₄⋊#261	—	4	1	no	—
645	C₄⋊#261	—	4	1	no	—
646	C₄⋊#261	—	4	1	no	—
647	C₄⋊#261	—	4	1	no	—
648	C₄⋊#261	—	4	1	no	—
649	C₄⋊#261	—	4	1	no	—
650	C₄⋊#261	—	4	1	no	—
651	C₄⋊#261	—	4	1	no	—
652	C₄×#261	—	2	2	no	—
653	C₄×#261	—	2	2	no	—
654	C₄×#261	—	2	2	no	—
655	C₄×#261	—	4	1	no	—
656	C₄×#261	—	4	1	no	—
657	C₄×#261	—	4	1	no	—
658	C₄×#261	—	4	1	no	—
659	C₄×#261	—	4	1	no	—
660	C₄×#261	—	4	1	no	—
661	C₄×#261	—	4	1	no	—
662	C₄×#261	—	4	1	no	—
663	C₄×#261	—	4	1	no	—
664	C₄×#261	—	4	1	no	—
665	C₄×#261	—	4	1	no	—
666	C₄×#261	—	4	1	no	—
667	C₄×#261	—	4	1	no	—
668	C₄×#261	—	4	1	no	—
669	C₄×#261	—	4	1	no	—
670	C₄×#261	—	4	1	no	—
671	C₄×#261	—	4	1	no	—
672	C₁₃×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
673	C₁₃×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
674	C₁₃×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
675	C₁₃×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
676	C₁₃×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
677	C₁₃×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
678	C₁₃×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
679	C₁₃×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
680	C₁₃×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
681	C₁₃×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
682	C₁₃×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
683	C₁₃×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
684	C₁₃×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
685	C₁₃×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
686	C₁₃×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
687	C₁₃×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
688	C₁₃×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
689	C₁₃×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
690	C₁₃×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
691	C₁₃×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
692	C₄²×C₁₃	C₂²×C₄	1	1	yes	characteristic
693	C₄²×C₁₃	C₂²×C₄	1	1	yes	characteristic
694	C₄²×C₁₃	C₂²×C₄	1	1	yes	characteristic
695	C₂²⋊Dic₁₃	C₂²×C₄	1	1	yes	characteristic
696	C₂²⋊Dic₁₃	C₂²×C₄	1	1	yes	characteristic
697	C₂²⋊Dic₁₃	C₂²×C₄	1	1	yes	characteristic
698	C₂²⋊Dic₁₃	C₂²×C₄	1	1	yes	characteristic
699	C₂²⋊Dic₁₃	C₂²×C₄	1	1	yes	characteristic
700	C₂²⋊Dic₁₃	C₂²×C₄	1	1	yes	characteristic
701	C₂²⋊Dic₁₃	C₂²×C₄	1	1	yes	characteristic
702	C₂²⋊Dic₁₃	C₂²×C₄	1	1	yes	characteristic
703	C₂²⋊Dic₁₃	C₂²×C₄	1	1	yes	characteristic
704	C₂²⋊Dic₁₃	C₂²×C₄	1	1	yes	characteristic
705	#6103	C₂²×C₄	1	1	yes	characteristic
706	#6103	C₂²×C₄	1	1	yes	characteristic
707	#6103	C₂²×C₄	1	1	yes	characteristic
708	#6103	C₂²×C₄	1	1	yes	characteristic
709	#6103	C₂²×C₄	1	1	yes	characteristic
710	#6103	C₂²×C₄	1	1	yes	characteristic
711	#6103	C₂²×C₄	1	1	yes	characteristic
712	#6103	C₂²×C₄	1	1	yes	characteristic
713	#6103	C₂²×C₄	1	1	yes	characteristic
714	#6103	C₂²×C₄	1	1	yes	characteristic
715	#6103	C₂²×C₄	1	1	yes	characteristic
716	#6103	C₂²×C₄	1	1	yes	characteristic
717	#6103	C₂²×C₄	1	1	yes	characteristic
718	#6103	C₂²×C₄	1	1	yes	characteristic
719	#6103	C₂²×C₄	1	1	yes	characteristic
720	#6103	C₂²×C₄	1	1	yes	characteristic
721	#6103	C₂²×C₄	1	1	yes	characteristic
722	#6103	C₂²×C₄	1	1	yes	characteristic
723	#6103	C₂²×C₄	1	1	yes	characteristic
724	#6103	C₂²×C₄	1	1	yes	characteristic
725	C₄⋊Dic₁₃	C₂²×C₄	1	1	yes	characteristic
726	C₄⋊Dic₁₃	C₂²×C₄	1	1	yes	characteristic
727	C₄⋊Dic₁₃	C₂²×C₄	1	1	yes	characteristic
728	C₄⋊Dic₁₃	C₂²×C₄	1	1	yes	characteristic
729	C₄⋊Dic₁₃	C₂²×C₄	1	1	yes	characteristic
730	C₄⋊Dic₁₃	C₂²×C₄	1	1	yes	characteristic
731	C₄⋊Dic₁₃	C₂²×C₄	1	1	yes	characteristic
732	C₄⋊Dic₁₃	C₂²×C₄	1	1	yes	characteristic
733	C₄⋊Dic₁₃	C₂²×C₄	1	1	yes	characteristic
734	C₄⋊Dic₁₃	C₂²×C₄	1	1	yes	characteristic
735	#6101	C₂²×C₄	1	1	yes	characteristic
736	#6101	C₂²×C₄	1	1	yes	characteristic
737	#6101	C₂²×C₄	1	1	yes	characteristic
738	#6101	C₂²×C₄	1	1	yes	characteristic
739	#6101	C₂²×C₄	1	1	yes	characteristic
740	#6101	C₂²×C₄	1	1	yes	characteristic
741	#6101	C₂²×C₄	1	1	yes	characteristic
742	#6101	C₂²×C₄	1	1	yes	characteristic
743	#6101	C₂²×C₄	1	1	yes	characteristic
744	#6101	C₂²×C₄	1	1	yes	characteristic
745	#6101	C₂²×C₄	1	1	yes	characteristic
746	#6101	C₂²×C₄	1	1	yes	characteristic
747	#6101	C₂²×C₄	1	1	yes	characteristic
748	#6101	C₂²×C₄	1	1	yes	characteristic
749	#6101	C₂²×C₄	1	1	yes	characteristic
750	#6101	C₂²×C₄	1	1	yes	characteristic
751	#6101	C₂²×C₄	1	1	yes	characteristic
752	#6101	C₂²×C₄	1	1	yes	characteristic
753	#6101	C₂²×C₄	1	1	yes	characteristic
754	#6101	C₂²×C₄	1	1	yes	characteristic
755	C₄×Dic₁₃	C₂²×C₄	1	1	yes	characteristic
756	C₄×Dic₁₃	C₂²×C₄	1	1	yes	characteristic
757	C₄×Dic₁₃	C₂²×C₄	1	1	yes	characteristic
758	C₄×Dic₁₃	C₂²×C₄	1	1	yes	characteristic
759	C₄×Dic₁₃	C₂²×C₄	1	1	yes	characteristic
760	C₄×Dic₁₃	C₂²×C₄	1	1	yes	characteristic
761	C₄×Dic₁₃	C₂²×C₄	1	1	yes	characteristic
762	C₄×Dic₁₃	C₂²×C₄	1	1	yes	characteristic
763	C₄×Dic₁₃	C₂²×C₄	1	1	yes	characteristic
764	C₂×#553	—	13	1	no	—
765	#2383	—	13	1	no	—
766	#2377	—	13	1	no	—
767	#2377	—	13	1	no	—
768	#2377	—	13	1	no	—
769	#2374	—	13	1	no	—
770	#2373	—	13	1	no	—
771	#2371	—	13	1	no	—
772	#2363	—	13	1	no	—
773	#2359	—	13	1	no	—
774	#2357	—	13	1	no	—
775	#2354	—	13	1	no	—
776	#2353	—	13	1	no	—
777	#2353	—	13	1	no	—
778	#2344	—	13	1	no	—
779	#2343	—	13	1	no	—
780	#2336	—	13	1	no	—
781	#2335	—	13	1	no	—
782	#2334	—	13	1	no	—
783	#2334	—	13	1	no	—
784	#2333	—	13	1	no	—
785	#2333	—	13	1	no	—
786	#2325	—	13	1	no	—
787	#2324	—	13	1	no	—
788	#2319	—	13	1	no	—
789	#2318	—	13	1	no	—
790	#2314	—	13	1	no	—
791	#2313	—	13	1	no	—
792	C₄×#123	—	13	1	no	—
793	#2290	—	13	1	no	—
794	#2290	—	13	1	no	—
795	C₂³×C₁₃	C₂³×C₄	1	1	yes	characteristic
796	C₂³×C₁₃	C₂³×C₄	1	1	yes	characteristic
797	C₂³×C₁₃	C₂³×C₄	1	1	yes	characteristic
798	C₂³×C₁₃	C₂³×C₄	1	1	yes	characteristic
799	C₂²×D₁₃	—	2	1	no	—
800	C₂²×D₁₃	—	2	1	no	—
801	C₂²×D₁₃	—	2	1	no	—
802	C₂²×D₁₃	—	2	1	no	—
803	C₂²×D₁₃	—	2	1	no	—
804	C₂²×D₁₃	—	2	1	no	—
805	C₂²×D₁₃	—	2	1	no	—
806	C₂²×D₁₃	—	2	1	no	—
807	C₂²×D₁₃	—	2	1	no	—
808	C₂²×D₁₃	—	2	1	no	—
809	C₂²×D₁₃	—	2	1	no	—
810	C₂²×D₁₃	—	2	1	no	—
811	C₂²×D₁₃	—	2	1	no	—
812	C₂²×D₁₃	—	2	1	no	—
813	C₂²×D₁₃	—	2	1	no	—
814	C₂²×D₁₃	—	2	1	no	—
815	C₂²×D₁₃	—	2	1	no	—
816	C₂²×D₁₃	—	2	1	no	—
817	C₂²×D₁₃	—	2	1	no	—
818	C₂²×D₁₃	—	2	1	no	—
819	C₂²×D₁₃	—	2	1	no	—
820	C₂²×D₁₃	—	2	1	no	—
821	C₂²×D₁₃	—	2	1	no	—
822	C₂²×D₁₃	—	2	1	no	—
823	C₂²×D₁₃	C₂³×C₄	1	1	yes	characteristic
824	C₂²×D₁₃	C₂³×C₄	1	1	yes	characteristic
825	C₂²×D₁₃	C₂³×C₄	1	1	yes	characteristic
826	C₂²×D₁₃	C₂³×C₄	1	1	yes	characteristic
827	C₂²×D₁₃	C₂⁵	1	1	yes	characteristic
828	C₂×#261	—	2	1	no	—
829	C₂×#261	—	2	1	no	—
830	C₂×#261	—	2	1	no	—
831	C₂×#261	—	2	1	no	—
832	C₂×#261	—	2	1	no	—
833	C₂×#261	—	2	1	no	—
834	C₂×#261	—	2	1	no	—
835	C₂×#261	—	2	1	no	—
836	C₂×#261	—	2	1	no	—
837	C₂×#261	—	2	1	no	—
838	C₂×#261	—	2	1	no	—
839	C₂×#261	—	2	1	no	—
840	C₂×#261	—	2	1	no	—
841	C₂×#261	—	2	1	no	—
842	C₂×#261	—	2	1	no	—
843	C₂×#261	—	2	1	no	—
844	C₂×#261	—	2	1	no	—
845	C₂×#261	—	2	1	no	—
846	C₂×#261	—	2	1	no	—
847	C₂×#261	—	2	1	no	—
848	C₂×#261	—	2	1	no	—
849	C₂×#261	—	2	1	no	—
850	C₂×#261	—	2	1	no	—
851	C₂×#261	—	2	1	no	—
852	C₂×#261	—	2	1	no	—
853	C₂×#261	—	2	1	no	—
854	C₂×#261	—	2	1	no	—
855	C₂×#261	—	2	1	no	—
856	C₂×#261	—	2	1	no	—
857	C₂×#261	—	2	1	no	—
858	C₂×#261	—	2	1	no	—
859	C₂×#261	—	2	1	no	—
860	C₂×#261	—	2	1	no	—
861	C₂×#261	—	2	1	no	—
862	C₂×#261	—	2	1	no	—
863	C₂×#261	—	2	1	no	—
864	C₂×#261	—	2	1	no	—
865	C₂×#261	—	2	1	no	—
866	C₂×#261	—	2	1	no	—
867	C₂×#261	—	2	1	no	—
868	C₂×#261	—	2	1	no	—
869	C₂×#261	—	2	1	no	—
870	C₂×#261	—	2	1	no	—
871	C₂×#261	—	2	1	no	—
872	C₂×#261	—	2	1	no	—
873	C₂×#261	—	2	1	no	—
874	C₂×#261	—	2	1	no	—
875	C₂×#261	—	4	4	no	—
876	C₂×#261	—	4	4	no	—
877	C₂×#261	—	8	2	no	—
878	C₂×#261	—	8	2	no	—
879	C₂×#261	—	8	2	no	—
880	C₂×#261	—	8	2	no	—
881	C₂×#261	H(5,𝔽₂)	1	2	yes	—
882	D₄×C₁₃	—	4	1	no	—
883	D₄×C₁₃	—	4	1	no	—
884	D₄×C₁₃	—	4	1	no	—
885	D₄×C₁₃	—	4	1	no	—
886	D₄×C₁₃	—	4	1	no	—
887	D₄×C₁₃	—	4	1	no	—
888	C₂×C₄×C₁₃	—	4	1	no	—
889	C₂×C₄×C₁₃	—	4	1	no	—
890	C₂×C₄×C₁₃	—	4	1	no	—
891	C₂×C₄×C₁₃	—	4	1	no	—
892	C₂×C₄×C₁₃	—	4	1	no	—
893	C₂×C₄×C₁₃	—	4	1	no	—
894	C₂×C₄×C₁₃	C₂³×C₄	1	1	yes	characteristic
895	C₂×C₄×C₁₃	C₂³×C₄	1	1	yes	characteristic
896	C₂×C₄×C₁₃	C₂³×C₄	1	1	yes	characteristic
897	C₂×C₄×C₁₃	C₂³×C₄	1	1	yes	characteristic
898	C₂×C₄×C₁₃	C₂³×C₄	1	1	yes	characteristic
899	C₂×C₄×C₁₃	C₂³×C₄	1	1	yes	characteristic
900	C₂×C₄×C₁₃	C₂³×C₄	1	1	yes	characteristic
901	C₂×C₄×C₁₃	C₂³×C₄	1	1	yes	characteristic
902	C₂×C₄×C₁₃	C₂³×C₄	1	1	yes	characteristic
903	C₂×C₄×C₁₃	C₂³×C₄	1	1	yes	characteristic
904	C₂×C₄×C₁₃	C₂³×C₄	1	1	yes	characteristic
905	C₂²⋊D₁₃	—	4	1	no	—
906	C₂²⋊D₁₃	—	4	1	no	—
907	C₂²⋊D₁₃	—	4	1	no	—
908	C₂²⋊D₁₃	—	4	1	no	—
909	C₂²⋊D₁₃	—	4	1	no	—
910	C₂²⋊D₁₃	—	4	1	no	—
911	C₂²⋊D₁₃	—	4	1	no	—
912	C₂²⋊D₁₃	—	4	1	no	—
913	C₂²⋊D₁₃	—	4	1	no	—
914	C₂²⋊D₁₃	—	4	1	no	—
915	C₂²⋊D₁₃	—	4	1	no	—
916	C₂²⋊D₁₃	—	4	1	no	—
917	C₂×Dic₁₃	—	4	1	no	—
918	C₂×Dic₁₃	—	4	1	no	—
919	C₂×Dic₁₃	—	4	1	no	—
920	C₂×Dic₁₃	—	4	1	no	—
921	C₂×Dic₁₃	—	4	1	no	—
922	C₂×Dic₁₃	—	4	1	no	—
923	C₂×Dic₁₃	C₂³×C₄	1	1	yes	characteristic
924	C₂×Dic₁₃	C₂³×C₄	1	1	yes	characteristic
925	C₂×Dic₁₃	C₂³×C₄	1	1	yes	characteristic
926	C₂×Dic₁₃	C₂³×C₄	1	1	yes	characteristic
927	C₂×Dic₁₃	C₂³×C₄	1	1	yes	characteristic
928	C₂×Dic₁₃	C₂³×C₄	1	1	yes	characteristic
929	C₂×Dic₁₃	C₂³×C₄	1	1	yes	characteristic
930	C₂×Dic₁₃	C₂³×C₄	1	1	yes	characteristic
931	C₂×Dic₁₃	C₂³×C₄	1	1	yes	characteristic
932	C₂×Dic₁₃	C₂³×C₄	1	1	yes	characteristic
933	C₂×Dic₁₃	C₂³×C₄	1	1	yes	characteristic
934	D₅₂	—	4	1	no	—
935	D₅₂	—	4	1	no	—
936	D₅₂	—	4	1	no	—
937	D₅₂	—	4	1	no	—
938	D₅₂	—	4	1	no	—
939	D₅₂	—	4	1	no	—
940	C₄×D₁₃	—	2	1	no	—
941	C₄×D₁₃	—	2	1	no	—
942	C₄×D₁₃	—	2	1	no	—
943	C₄×D₁₃	—	2	1	no	—
944	C₄×D₁₃	—	2	1	no	—
945	C₄×D₁₃	—	2	1	no	—
946	C₄×D₁₃	—	2	1	no	—
947	C₄×D₁₃	—	2	1	no	—
948	C₄×D₁₃	—	2	1	no	—
949	C₄×D₁₃	—	2	1	no	—
950	C₄×D₁₃	—	2	1	no	—
951	C₄×D₁₃	—	2	1	no	—
952	C₄×D₁₃	—	2	1	no	—
953	C₄×D₁₃	—	2	1	no	—
954	C₄×D₁₃	—	2	1	no	—
955	C₄×D₁₃	—	2	1	no	—
956	C₄×D₁₃	—	2	1	no	—
957	C₄×D₁₃	—	2	1	no	—
958	C₄×D₁₃	—	2	1	no	—
959	C₄×D₁₃	—	2	1	no	—
960	C₄×D₁₃	—	2	1	no	—
961	C₄×D₁₃	—	2	1	no	—
962	C₄×D₁₃	—	4	1	no	—
963	C₄×D₁₃	—	4	1	no	—
964	C₄×D₁₃	—	4	1	no	—
965	C₄×D₁₃	—	4	1	no	—
966	C₄×D₁₃	—	4	1	no	—
967	C₄×D₁₃	—	4	1	no	—
968	C₄×D₁₃	—	4	1	no	—
969	C₄×D₁₃	—	4	1	no	—
970	C₄×D₁₃	—	4	1	no	—
971	C₄×D₁₃	—	4	1	no	—
972	C₄×D₁₃	—	4	1	no	—
973	C₄×D₁₃	—	4	1	no	—
974	#553	—	13	1	no	—
975	#553	—	13	1	no	—
976	#553	—	13	1	no	—
977	#553	—	13	1	no	—
978	#553	—	13	1	no	—
979	#553	—	13	1	no	—
980	#553	—	13	1	no	—
981	#553	—	13	1	no	—
982	#553	—	13	1	no	—
983	#553	—	13	1	no	—
984	#553	—	13	1	no	—
985	#553	—	13	1	no	—
986	#553	—	13	1	no	—
987	#553	—	13	1	no	—
988	#553	—	13	1	no	—
989	#553	#261	1	1	yes	characteristic, complemented
990	C₂×#126	—	13	1	no	—
991	C₂×#126	—	13	1	no	—
992	C₂×#125	—	13	1	no	—
993	C₂×#123	—	13	1	no	—
994	C₂×#123	—	13	1	no	—
995	C₂×#121	—	13	1	no	—
996	C₂×#121	—	13	1	no	—
997	C₂×#121	—	13	1	no	—
998	C₂×#121	—	13	1	no	—
999	C₂×C₄×D₄	—	13	1	no	—
1000	C₂×C₄×D₄	—	13	1	no	—
1001	C₂×C₄×D₄	—	13	1	no	—
1002	C₂×C₄×D₄	—	13	1	no	—
1003	C₂×C₄×D₄	—	13	1	no	—
1004	C₂×C₄×D₄	—	13	1	no	—
1005	C₂×#117	—	13	1	no	—
1006	C₂×#117	—	13	1	no	—
1007	C₂×#117	—	13	1	no	—
1008	C₂×#117	—	13	1	no	—
1009	C₂²×C₄⋊C₄	—	13	1	no	—
1010	C₂²×C₄²	—	13	1	no	—
1011	#390	—	13	1	no	—
1012	#390	—	13	1	no	—
1013	#390	—	13	1	no	—
1014	#390	—	13	1	no	—
1015	#390	—	13	1	no	—
1016	#390	—	13	1	no	—
1017	#390	—	13	1	no	—
1018	#390	—	13	1	no	—
1019	#389	—	13	1	no	—
1020	#389	—	13	1	no	—
1021	#389	—	13	1	no	—
1022	#389	—	13	1	no	—
1023	#389	—	13	1	no	—
1024	#389	—	13	1	no	—
1025	#388	—	13	1	no	—
1026	#388	—	13	1	no	—
1027	#388	—	13	1	no	—
1028	#388	—	13	1	no	—
1029	#388	—	13	1	no	—
1030	#388	—	13	1	no	—
1031	#388	—	13	1	no	—
1032	#388	—	13	1	no	—
1033	#388	—	13	1	no	—
1034	#388	—	13	1	no	—
1035	#388	—	13	1	no	—
1036	#388	—	13	1	no	—
1037	#388	—	13	1	no	—
1038	#388	—	13	1	no	—
1039	#388	—	13	1	no	—
1040	#388	—	13	1	no	—
1041	#388	—	13	1	no	—
1042	#388	—	13	1	no	—
1043	#388	—	13	1	no	—
1044	#388	—	13	1	no	—
1045	#388	—	13	1	no	—
1046	#388	—	13	1	no	—
1047	#387	—	13	1	no	—
1048	#387	—	13	1	no	—
1049	#387	—	13	1	no	—
1050	#387	—	13	1	no	—
1051	#387	—	13	1	no	—
1052	#387	—	13	1	no	—
1053	#387	—	13	1	no	—
1054	#387	—	13	1	no	—
1055	#387	—	13	1	no	—
1056	#387	—	13	1	no	—
1057	#387	—	13	1	no	—
1058	#387	—	13	1	no	—
1059	#387	—	13	1	no	—
1060	#387	—	13	1	no	—
1061	#387	—	13	1	no	—
1062	#387	—	13	1	no	—
1063	#387	—	13	1	no	—
1064	#387	—	13	1	no	—
1065	#387	—	13	1	no	—
1066	#387	—	13	1	no	—
1067	#387	—	13	1	no	—
1068	#387	—	13	1	no	—
1069	#387	—	13	1	no	—
1070	#387	—	13	1	no	—
1071	#387	—	13	1	no	—
1072	#387	—	13	1	no	—
1073	#386	—	13	1	no	—
1074	#386	—	13	1	no	—
1075	#386	—	13	1	no	—
1076	#386	—	13	1	no	—
1077	#386	—	13	1	no	—
1078	#386	—	13	1	no	—
1079	#386	—	13	1	no	—
1080	#386	—	13	1	no	—
1081	#386	—	13	1	no	—
1082	#386	—	13	1	no	—
1083	#386	—	13	1	no	—
1084	#386	—	13	1	no	—
1085	#386	—	13	1	no	—
1086	#386	—	13	1	no	—
1087	#385	—	13	1	no	—
1088	#385	—	13	1	no	—
1089	#385	—	13	1	no	—
1090	#385	—	13	1	no	—
1091	#385	—	13	1	no	—
1092	#385	—	13	1	no	—
1093	#385	—	13	1	no	—
1094	#385	—	13	1	no	—
1095	#385	—	13	1	no	—
1096	#385	—	13	1	no	—
1097	#384	—	13	1	no	—
1098	#383	—	13	1	no	—
1099	#383	—	13	1	no	—
1100	#382	—	13	1	no	—
1101	#382	—	13	1	no	—
1102	#381	—	13	1	no	—
1103	#381	—	13	1	no	—
1104	#381	—	13	1	no	—
1105	#381	—	13	1	no	—
1106	#381	—	13	1	no	—
1107	#381	—	13	1	no	—
1108	#380	—	13	1	no	—
1109	#380	—	13	1	no	—
1110	#380	—	13	1	no	—
1111	#380	—	13	1	no	—
1112	#380	—	13	1	no	—
1113	#380	—	13	1	no	—
1114	C₄×C₄⋊C₄	—	13	1	no	—
1115	C₄×C₄⋊C₄	—	13	1	no	—
1116	C₄×C₄⋊C₄	—	13	1	no	—
1117	C₄×C₄⋊C₄	—	13	1	no	—
1118	C₄×C₄⋊C₄	—	13	1	no	—
1119	C₄×C₄⋊C₄	—	13	1	no	—
1120	C₄×C₄⋊C₄	—	13	1	no	—
1121	C₄×C₄⋊C₄	—	13	1	no	—
1122	C₄×C₄⋊C₄	—	13	1	no	—
1123	C₄×C₄⋊C₄	—	13	1	no	—
1124	C₄×C₄⋊C₄	—	13	1	no	—
1125	C₄×C₄⋊C₄	—	13	1	no	—
1126	C₄×C₂²⋊C₄	—	13	1	no	—
1127	C₄×C₂²⋊C₄	—	13	1	no	—
1128	C₄×C₂²⋊C₄	—	13	1	no	—
1129	C₄×C₂²⋊C₄	—	13	1	no	—
1130	C₄×C₂²⋊C₄	—	13	1	no	—
1131	C₄×C₂²⋊C₄	—	13	1	no	—
1132	C₄×C₂²⋊C₄	—	13	1	no	—
1133	C₄×C₂²⋊C₄	—	13	1	no	—
1134	C₄×C₂²⋊C₄	—	13	1	no	—
1135	C₄×C₂²⋊C₄	—	13	1	no	—
1136	C₄×C₂²⋊C₄	—	13	1	no	—
1137	C₄×C₂²⋊C₄	—	13	1	no	—
1138	C₄×C₂²⋊C₄	—	13	1	no	—
1139	C₄×C₂²⋊C₄	—	13	1	no	—
1140	#376	—	13	1	no	—
1141	#376	—	13	1	no	—
1142	#376	—	13	1	no	—
1143	C₂×#95	—	13	1	no	—
1144	C₂×#95	—	13	1	no	—
1145	C₂²×C₁₃	—	2	1	no	—
1146	C₂²×C₁₃	—	2	1	no	—
1147	C₂²×C₁₃	—	2	1	no	—
1148	C₂²×C₁₃	—	2	1	no	—
1149	C₂²×C₁₃	—	2	1	no	—
1150	C₂²×C₁₃	—	2	1	no	—
1151	C₂²×C₁₃	—	2	1	no	—
1152	C₂²×C₁₃	—	2	1	no	—
1153	C₂²×C₁₃	—	2	1	no	—
1154	C₂²×C₁₃	—	2	1	no	—
1155	C₂²×C₁₃	—	2	1	no	—
1156	C₂²×C₁₃	—	2	1	no	—
1157	C₂²×C₁₃	C₂⁴×C₄	1	1	yes	characteristic
1158	C₂×D₁₃	—	2	1	no	—
1159	C₂×D₁₃	—	2	1	no	—
1160	C₂×D₁₃	—	2	1	no	—
1161	C₂×D₁₃	—	2	1	no	—
1162	C₂×D₁₃	—	2	1	no	—
1163	C₂×D₁₃	—	2	1	no	—
1164	C₂×D₁₃	—	2	1	no	—
1165	C₂×D₁₃	—	2	1	no	—
1166	C₂×D₁₃	—	2	1	no	—
1167	C₂×D₁₃	—	2	1	no	—
1168	C₂×D₁₃	—	2	1	no	—
1169	C₂×D₁₃	—	2	1	no	—
1170	C₂×D₁₃	—	4	1	no	—
1171	C₂×D₁₃	—	4	1	no	—
1172	C₂×D₁₃	—	4	1	no	—
1173	C₂×D₁₃	—	4	1	no	—
1174	C₂×D₁₃	—	4	1	no	—
1175	C₂×D₁₃	—	4	1	no	—
1176	C₂×D₁₃	—	4	1	no	—
1177	C₂×D₁₃	—	4	1	no	—
1178	C₂×D₁₃	—	4	1	no	—
1179	C₂×D₁₃	—	4	1	no	—
1180	C₂×D₁₃	—	4	1	no	—
1181	C₂×D₁₃	—	4	1	no	—
1182	C₂×D₁₃	—	4	1	no	—
1183	C₂×D₁₃	—	4	1	no	—
1184	C₂×D₁₃	—	4	1	no	—
1185	C₂×D₁₃	—	4	1	no	—
1186	C₂×D₁₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1187	C₂×D₁₃	#585	1	1	yes	characteristic
1188	C₂×D₁₃	#585	1	1	yes	characteristic
1189	C₂×D₁₃	#585	1	1	yes	characteristic
1190	C₂×D₁₃	#585	1	1	yes	characteristic
1191	C₂×D₁₃	#585	1	1	yes	characteristic
1192	#261	—	2	2	no	—
1193	#261	—	4	1	no	—
1194	#261	—	4	1	no	—
1195	#261	—	4	1	no	—
1196	#261	—	4	1	no	—
1197	#261	—	4	1	no	—
1198	#261	—	4	1	no	—
1199	#261	—	4	1	no	—
1200	#261	—	4	1	no	—
1201	#261	—	4	1	no	—
1202	#261	—	4	1	no	—
1203	#261	—	4	1	no	—
1204	#261	—	4	1	no	—
1205	#261	—	4	1	no	—
1206	#261	—	4	1	no	—
1207	#261	—	4	1	no	—
1208	C₄×C₁₃	—	2	1	no	—
1209	C₄×C₁₃	—	2	1	no	—
1210	C₄×C₁₃	—	2	1	no	—
1211	C₄×C₁₃	—	2	1	no	—
1212	C₄×C₁₃	—	2	1	no	—
1213	C₄×C₁₃	—	2	1	no	—
1214	C₄×C₁₃	—	2	1	no	—
1215	C₄×C₁₃	—	2	1	no	—
1216	C₄×C₁₃	—	2	1	no	—
1217	C₄×C₁₃	—	2	1	no	—
1218	C₄×C₁₃	—	2	1	no	—
1219	Dic₁₃	—	2	1	no	—
1220	Dic₁₃	—	2	1	no	—
1221	Dic₁₃	—	2	1	no	—
1222	Dic₁₃	—	2	1	no	—
1223	Dic₁₃	—	2	1	no	—
1224	Dic₁₃	—	2	1	no	—
1225	Dic₁₃	—	2	1	no	—
1226	Dic₁₃	—	2	1	no	—
1227	Dic₁₃	—	2	1	no	—
1228	Dic₁₃	—	2	1	no	—
1229	Dic₁₃	—	2	1	no	—
1230	C₂²×D₄	—	13	1	no	—
1231	C₂²×D₄	—	13	1	no	—
1232	C₂²×D₄	—	13	1	no	—
1233	C₂²×D₄	—	13	1	no	—
1234	C₂²×D₄	—	13	1	no	—
1235	C₂²×D₄	—	13	1	no	—
1236	C₂³×C₄	—	13	1	no	—
1237	C₂³×C₄	—	13	1	no	—
1238	C₂³×C₄	—	13	1	no	—
1239	C₂³×C₄	—	13	1	no	—
1240	C₂³×C₄	—	13	1	no	—
1241	C₂³×C₄	—	13	1	no	—
1242	C₂³×C₄	—	13	1	no	—
1243	C₂³×C₄	—	13	1	no	—
1244	C₂³×C₄	—	13	1	no	—
1245	C₂³×C₄	—	13	1	no	—
1246	C₂³×C₄	—	13	1	no	—
1247	C₂³×C₄	—	13	1	no	—
1248	#126	—	13	1	no	—
1249	#126	—	13	1	no	—
1250	#126	—	13	1	no	—
1251	#126	—	13	1	no	—
1252	#126	—	13	1	no	—
1253	#126	—	13	1	no	—
1254	#126	—	13	1	no	—
1255	#126	—	13	1	no	—
1256	#126	—	13	1	no	—
1257	#126	—	13	1	no	—
1258	#126	—	13	1	no	—
1259	#126	—	13	1	no	—
1260	#126	—	13	1	no	—
1261	#126	—	13	1	no	—
1262	#126	C₂×#261	1	1	yes	characteristic, complemented
1263	#126	C₂×#261	1	1	yes	characteristic, complemented
1264	#125	—	13	1	no	—
1265	#125	—	13	1	no	—
1266	#125	—	13	1	no	—
1267	#125	—	13	1	no	—
1268	#125	—	13	1	no	—
1269	#125	—	13	1	no	—
1270	#125	—	13	1	no	—
1271	#125	C₂×#261	1	1	yes	characteristic, complemented
1272	#123	—	13	1	no	—
1273	#123	—	13	1	no	—
1274	#123	—	13	1	no	—
1275	#123	—	13	1	no	—
1276	#123	—	13	1	no	—
1277	#123	—	13	1	no	—
1278	#123	—	13	1	no	—
1279	#123	—	13	1	no	—
1280	#123	—	13	1	no	—
1281	#123	—	13	1	no	—
1282	#123	—	13	1	no	—
1283	#123	—	13	1	no	—
1284	#123	—	13	1	no	—
1285	#123	—	13	1	no	—
1286	#123	C₂×#261	1	1	yes	characteristic, complemented
1287	#123	C₂×#261	1	1	yes	characteristic, complemented
1288	#121	—	13	1	no	—
1289	#121	—	13	1	no	—
1290	#121	—	13	1	no	—
1291	#121	—	13	1	no	—
1292	#121	—	13	1	no	—
1293	#121	—	13	1	no	—
1294	#121	—	13	1	no	—
1295	#121	—	13	1	no	—
1296	#121	—	13	1	no	—
1297	#121	—	13	1	no	—
1298	#121	—	13	1	no	—
1299	#121	—	13	1	no	—
1300	#121	—	13	1	no	—
1301	#121	—	13	1	no	—
1302	#121	—	13	1	no	—
1303	#121	—	13	1	no	—
1304	#121	—	13	1	no	—
1305	#121	—	13	1	no	—
1306	#121	—	13	1	no	—
1307	#121	—	13	1	no	—
1308	#121	—	13	1	no	—
1309	#121	—	13	1	no	—
1310	#121	—	13	1	no	—
1311	#121	—	13	1	no	—
1312	#121	—	13	1	no	—
1313	#121	—	13	1	no	—
1314	#121	—	13	1	no	—
1315	#121	—	13	1	no	—
1316	#121	C₂×#261	1	1	yes	characteristic
1317	#121	C₂×#261	1	1	yes	characteristic, complemented
1318	#121	C₂×#261	1	1	yes	characteristic, complemented
1319	#121	C₂×#261	1	1	yes	characteristic, complemented
1320	C₄×D₄	—	13	1	no	—
1321	C₄×D₄	—	13	1	no	—
1322	C₄×D₄	—	13	1	no	—
1323	C₄×D₄	—	13	1	no	—
1324	C₄×D₄	—	13	1	no	—
1325	C₄×D₄	—	13	1	no	—
1326	C₄×D₄	—	13	1	no	—
1327	C₄×D₄	—	13	1	no	—
1328	C₄×D₄	—	13	1	no	—
1329	C₄×D₄	—	13	1	no	—
1330	C₄×D₄	—	13	1	no	—
1331	C₄×D₄	—	13	1	no	—
1332	C₄×D₄	—	13	1	no	—
1333	C₄×D₄	—	13	1	no	—
1334	C₄×D₄	—	13	1	no	—
1335	C₄×D₄	—	13	1	no	—
1336	C₄×D₄	—	13	1	no	—
1337	C₄×D₄	—	13	1	no	—
1338	C₄×D₄	—	13	1	no	—
1339	C₄×D₄	—	13	1	no	—
1340	C₄×D₄	—	13	1	no	—
1341	C₄×D₄	—	13	1	no	—
1342	C₄×D₄	—	13	1	no	—
1343	C₄×D₄	—	13	1	no	—
1344	C₄×D₄	—	13	1	no	—
1345	C₄×D₄	—	13	1	no	—
1346	C₄×D₄	—	13	1	no	—
1347	C₄×D₄	—	13	1	no	—
1348	C₄×D₄	—	52	2	no	—
1349	C₄×D₄	—	52	2	no	—
1350	C₄×D₄	C₂×#261	1	1	yes	characteristic, complemented
1351	C₄×D₄	C₂×#261	1	1	yes	characteristic, complemented
1352	C₄×D₄	C₂×#261	1	1	yes	characteristic, complemented
1353	C₄×D₄	C₂×#261	1	1	yes	characteristic, complemented
1354	#117	—	13	1	no	—
1355	#117	—	13	1	no	—
1356	#117	—	13	1	no	—
1357	#117	—	13	1	no	—
1358	#117	—	13	1	no	—
1359	#117	—	13	1	no	—
1360	#117	—	13	1	no	—
1361	#117	—	52	2	no	—
1362	#117	—	52	2	no	—
1363	#117	—	52	2	no	—
1364	#117	C₂×#261	1	1	yes	characteristic, complemented
1365	C₂×C₄⋊C₄	—	13	1	no	—
1366	C₂×C₄⋊C₄	—	13	1	no	—
1367	C₂×C₄⋊C₄	—	13	1	no	—
1368	C₂×C₄⋊C₄	—	13	1	no	—
1369	C₂×C₄⋊C₄	—	13	1	no	—
1370	C₂×C₄⋊C₄	—	13	1	no	—
1371	C₂×C₄⋊C₄	—	13	1	no	—
1372	C₂×C₄⋊C₄	—	13	1	no	—
1373	C₂×C₄⋊C₄	—	13	1	no	—
1374	C₂×C₄⋊C₄	—	13	1	no	—
1375	C₂×C₄⋊C₄	—	13	1	no	—
1376	C₂×C₄⋊C₄	—	13	1	no	—
1377	C₂×C₄⋊C₄	—	13	1	no	—
1378	C₂×C₄⋊C₄	—	13	1	no	—
1379	C₂×C₄⋊C₄	—	13	1	no	—
1380	C₂×C₄⋊C₄	—	13	1	no	—
1381	C₂×C₄⋊C₄	—	13	1	no	—
1382	C₂×C₄⋊C₄	—	13	1	no	—
1383	C₂×C₄⋊C₄	—	13	1	no	—
1384	C₂×C₄⋊C₄	—	13	1	no	—
1385	C₂×C₄⋊C₄	—	13	1	no	—
1386	C₂×C₄⋊C₄	—	13	1	no	—
1387	C₂×C₄⋊C₄	—	13	1	no	—
1388	C₂×C₄⋊C₄	—	13	1	no	—
1389	C₂×C₄⋊C₄	—	13	1	no	—
1390	C₂×C₄⋊C₄	—	13	1	no	—
1391	C₂×C₄⋊C₄	—	13	1	no	—
1392	C₂×C₄⋊C₄	—	13	1	no	—
1393	C₂×C₄⋊C₄	—	13	1	no	—
1394	C₂×C₄⋊C₄	—	13	1	no	—
1395	C₂×C₄⋊C₄	—	13	1	no	—
1396	C₂×C₄⋊C₄	—	13	1	no	—
1397	C₂×C₄⋊C₄	—	13	1	no	—
1398	C₂×C₄⋊C₄	—	13	1	no	—
1399	C₂×C₄⋊C₄	—	13	1	no	—
1400	C₂×C₄⋊C₄	—	13	1	no	—
1401	C₂×C₄⋊C₄	—	13	1	no	—
1402	C₂×C₄⋊C₄	C₂×#261	1	1	yes	characteristic, complemented
1403	C₂×C₂²⋊C₄	—	13	1	no	—
1404	C₂×C₂²⋊C₄	—	13	1	no	—
1405	C₂×C₂²⋊C₄	—	13	1	no	—
1406	C₂×C₂²⋊C₄	—	13	1	no	—
1407	C₂×C₂²⋊C₄	—	13	1	no	—
1408	C₂×C₂²⋊C₄	—	13	1	no	—
1409	C₂×C₂²⋊C₄	—	13	1	no	—
1410	C₂×C₂²⋊C₄	—	13	1	no	—
1411	C₂×C₂²⋊C₄	—	13	1	no	—
1412	C₂×C₂²⋊C₄	—	13	1	no	—
1413	C₂×C₂²⋊C₄	—	13	1	no	—
1414	C₂×C₂²⋊C₄	—	13	1	no	—
1415	C₂×C₂²⋊C₄	—	13	1	no	—
1416	C₂×C₂²⋊C₄	—	13	1	no	—
1417	C₂×C₂²⋊C₄	—	13	1	no	—
1418	C₂×C₂²⋊C₄	—	13	1	no	—
1419	C₂×C₂²⋊C₄	—	13	1	no	—
1420	C₂×C₂²⋊C₄	—	13	1	no	—
1421	C₂×C₂²⋊C₄	—	13	1	no	—
1422	C₂×C₂²⋊C₄	—	13	1	no	—
1423	C₂×C₂²⋊C₄	—	13	1	no	—
1424	C₂×C₂²⋊C₄	—	13	1	no	—
1425	C₂×C₂²⋊C₄	—	13	1	no	—
1426	C₂×C₂²⋊C₄	—	13	1	no	—
1427	C₂×C₂²⋊C₄	—	13	1	no	—
1428	C₂×C₂²⋊C₄	—	13	1	no	—
1429	C₂×C₂²⋊C₄	—	13	1	no	—
1430	C₂×C₂²⋊C₄	—	13	1	no	—
1431	C₂×C₂²⋊C₄	—	13	1	no	—
1432	C₂×C₂²⋊C₄	—	13	1	no	—
1433	C₂×C₂²⋊C₄	—	13	1	no	—
1434	C₂×C₂²⋊C₄	—	13	1	no	—
1435	C₂×C₂²⋊C₄	—	13	1	no	—
1436	C₂×C₂²⋊C₄	—	13	1	no	—
1437	C₂×C₂²⋊C₄	—	13	1	no	—
1438	C₂×C₂²⋊C₄	—	13	1	no	—
1439	C₂×C₄²	—	13	1	no	—
1440	C₂×C₄²	—	13	1	no	—
1441	C₂×C₄²	—	13	1	no	—
1442	C₂×C₄²	—	13	1	no	—
1443	C₂×C₄²	—	13	1	no	—
1444	C₂×C₄²	—	13	1	no	—
1445	C₂×C₄²	—	13	1	no	—
1446	C₂×C₄²	—	13	1	no	—
1447	C₂×C₄²	—	13	1	no	—
1448	C₂×C₄²	—	13	1	no	—
1449	C₂×C₄²	—	13	1	no	—
1450	C₂×C₄²	—	13	1	no	—
1451	C₂×C₄²	—	13	1	no	—
1452	C₂×C₄²	—	13	1	no	—
1453	C₂×C₄²	—	13	1	no	—
1454	C₂×C₄²	—	13	1	no	—
1455	C₂×C₄²	—	13	1	no	—
1456	C₂×C₄²	—	13	1	no	—
1457	C₂×C₄²	—	13	1	no	—
1458	C₂×C₄²	—	13	1	no	—
1459	C₂×C₄²	—	13	1	no	—
1460	C₂×C₄²	—	13	1	no	—
1461	C₂×C₄²	—	13	1	no	—
1462	C₂×C₄²	—	52	2	no	—
1463	#95	—	13	1	no	—
1464	#95	—	13	1	no	—
1465	#95	—	13	1	no	—
1466	#95	—	13	1	no	—
1467	#95	—	13	1	no	—
1468	#95	—	13	1	no	—
1469	#95	—	13	1	no	—
1470	#95	—	13	1	no	—
1471	#95	—	13	1	no	—
1472	#95	—	13	1	no	—
1473	#95	—	13	1	no	—
1474	#95	—	13	1	no	—
1475	#95	—	13	1	no	—
1476	#95	—	13	1	no	—
1477	#95	—	13	1	no	—
1478	#95	—	13	1	no	—
1479	#95	—	13	1	no	—
1480	#95	—	13	1	no	—
1481	#95	—	13	1	no	—
1482	#95	—	13	1	no	—
1483	#95	—	13	1	no	—
1484	#95	—	13	1	no	—
1485	#95	—	13	1	no	—
1486	#95	—	13	1	no	—
1487	#95	—	13	1	no	—
1488	#95	—	13	1	no	—
1489	#95	—	13	1	no	—
1490	#95	—	13	1	no	—
1491	#95	—	13	1	no	—
1492	#95	—	13	1	no	—
1493	#95	—	13	1	no	—
1494	#95	—	13	1	no	—
1495	#95	—	13	1	no	—
1496	#95	—	13	1	no	—
1497	#95	—	13	1	no	—
1498	#95	—	13	1	no	—
1499	#95	—	13	1	no	—
1500	#95	—	13	1	no	—
1501	#95	—	13	1	no	—
1502	#95	—	13	1	no	—
1503	#95	—	13	1	no	—
1504	#95	—	13	1	no	—
1505	#95	—	13	1	no	—
1506	#95	—	13	1	no	—
1507	#95	—	13	1	no	—
1508	#95	—	13	1	no	—
1509	#95	—	13	1	no	—
1510	#95	—	13	1	no	—
1511	C₂×C₁₃	—	4	1	no	—
1512	C₂×C₁₃	—	4	1	no	—
1513	C₂×C₁₃	—	4	1	no	—
1514	C₂×C₁₃	—	4	1	no	—
1515	C₂×C₁₃	#3428	1	1	yes	characteristic
1516	C₂×C₁₃	#3428	1	1	yes	characteristic
1517	C₂×C₁₃	C₄×H(5,𝔽₂)	1	1	yes	characteristic
1518	D₁₃	—	4	1	no	—
1519	D₁₃	—	4	1	no	—
1520	D₁₃	—	4	1	no	—
1521	D₁₃	—	4	1	no	—
1522	D₁₃	#3533	1	1	yes	characteristic
1523	D₁₃	#3539	1	1	yes	characteristic
1524	D₁₃	#3566	1	1	yes	characteristic
1525	D₁₃	#3566	1	1	yes	characteristic
1526	C₂⁴	—	13	1	no	—
1527	C₂⁴	—	13	1	no	—
1528	C₂⁴	—	13	1	no	—
1529	C₂⁴	—	13	1	no	—
1530	C₂×D₄	—	13	1	no	—
1531	C₂×D₄	—	13	1	no	—
1532	C₂×D₄	—	13	1	no	—
1533	C₂×D₄	—	13	1	no	—
1534	C₂×D₄	—	13	1	no	—
1535	C₂×D₄	—	13	1	no	—
1536	C₂×D₄	—	13	1	no	—
1537	C₂×D₄	—	13	1	no	—
1538	C₂×D₄	—	13	1	no	—
1539	C₂×D₄	—	13	1	no	—
1540	C₂×D₄	—	13	1	no	—
1541	C₂×D₄	—	13	1	no	—
1542	C₂×D₄	—	13	1	no	—
1543	C₂×D₄	—	13	1	no	—
1544	C₂×D₄	—	13	1	no	—
1545	C₂×D₄	—	13	1	no	—
1546	C₂×D₄	—	13	1	no	—
1547	C₂×D₄	—	13	1	no	—
1548	C₂×D₄	—	52	1	no	—
1549	C₂×D₄	—	52	1	no	—
1550	C₂×D₄	—	52	1	no	—
1551	C₂×D₄	—	52	1	no	—
1552	C₂×D₄	—	52	1	no	—
1553	C₂×D₄	—	52	1	no	—
1554	C₂×D₄	—	52	1	no	—
1555	C₂×D₄	—	52	1	no	—
1556	C₂×D₄	—	52	1	no	—
1557	C₂×D₄	—	52	1	no	—
1558	C₂×D₄	—	52	1	no	—
1559	C₂×D₄	—	52	1	no	—
1560	C₂×D₄	C₂²×#261	1	1	yes	characteristic
1561	C₂×D₄	C₂²×#261	1	1	yes	characteristic
1562	C₂×D₄	C₂²×#261	1	1	yes	characteristic
1563	C₂×D₄	C₂²×#261	1	1	yes	characteristic
1564	C₂×D₄	C₂²×#261	1	1	yes	characteristic
1565	C₂×D₄	C₂²×#261	1	1	yes	characteristic
1566	C₂²×C₄	—	13	1	no	—
1567	C₂²×C₄	—	13	1	no	—
1568	C₂²×C₄	—	13	1	no	—
1569	C₂²×C₄	—	13	1	no	—
1570	C₂²×C₄	—	13	1	no	—
1571	C₂²×C₄	—	13	1	no	—
1572	C₂²×C₄	—	13	1	no	—
1573	C₂²×C₄	—	13	1	no	—
1574	C₂²×C₄	—	13	1	no	—
1575	C₂²×C₄	—	13	1	no	—
1576	C₂²×C₄	—	13	1	no	—
1577	C₂²×C₄	—	13	1	no	—
1578	C₂²×C₄	—	13	1	no	—
1579	C₂²×C₄	—	13	1	no	—
1580	C₂²×C₄	—	13	1	no	—
1581	C₂²×C₄	—	13	1	no	—
1582	C₂²×C₄	—	13	1	no	—
1583	C₂²×C₄	—	13	1	no	—
1584	C₂²×C₄	—	13	1	no	—
1585	C₂²×C₄	—	13	1	no	—
1586	C₂²×C₄	—	13	1	no	—
1587	C₂²×C₄	—	13	1	no	—
1588	C₂²×C₄	—	13	1	no	—
1589	C₂²×C₄	—	13	1	no	—
1590	C₂²×C₄	—	13	1	no	—
1591	C₂²×C₄	—	13	1	no	—
1592	C₂²×C₄	—	13	1	no	—
1593	C₂²×C₄	—	13	1	no	—
1594	C₂²×C₄	—	13	1	no	—
1595	C₂²×C₄	—	13	1	no	—
1596	C₂²×C₄	—	13	1	no	—
1597	C₂²×C₄	—	13	1	no	—
1598	C₂²×C₄	—	13	1	no	—
1599	C₂²×C₄	—	13	1	no	—
1600	C₂²×C₄	—	13	1	no	—
1601	C₂²×C₄	—	13	1	no	—
1602	C₂²×C₄	—	13	1	no	—
1603	C₂²×C₄	—	13	1	no	—
1604	C₂²×C₄	—	13	1	no	—
1605	C₂²×C₄	—	13	1	no	—
1606	C₂²×C₄	—	13	1	no	—
1607	C₂²×C₄	—	13	1	no	—
1608	C₂²×C₄	—	13	1	no	—
1609	C₂²×C₄	—	13	1	no	—
1610	C₂²×C₄	—	13	1	no	—
1611	C₂²×C₄	—	26	2	no	—
1612	C₂²×C₄	—	26	2	no	—
1613	C₂²×C₄	—	52	1	no	—
1614	C₂²×C₄	—	52	1	no	—
1615	C₂²×C₄	—	52	1	no	—
1616	C₂²×C₄	—	52	1	no	—
1617	C₂²×C₄	—	52	1	no	—
1618	C₂²×C₄	—	52	1	no	—
1619	C₂²×C₄	—	52	1	no	—
1620	C₂²×C₄	—	52	1	no	—
1621	C₂²×C₄	—	52	1	no	—
1622	C₂²×C₄	—	52	1	no	—
1623	C₂²×C₄	—	52	1	no	—
1624	C₂²×C₄	—	52	1	no	—
1625	C₂²×C₄	—	52	1	no	—
1626	C₂²×C₄	—	52	1	no	—
1627	C₂²×C₄	—	52	1	no	—
1628	C₂²×C₄	—	52	1	no	—
1629	C₂²×C₄	—	52	1	no	—
1630	C₂²×C₄	—	52	1	no	—
1631	C₂²×C₄	—	52	1	no	—
1632	C₂²×C₄	—	52	1	no	—
1633	C₂²×C₄	—	52	1	no	—
1634	C₂²×C₄	—	52	1	no	—
1635	C₂²×C₄	—	52	1	no	—
1636	C₂²×C₄	—	52	1	no	—
1637	C₂²×C₄	—	52	1	no	—
1638	C₂²×C₄	—	52	1	no	—
1639	C₂²×C₄	—	52	1	no	—
1640	C₂²×C₄	—	52	1	no	—
1641	C₂²×C₄	C₂²×#261	1	1	yes	characteristic
1642	C₂²×C₄	C₂²×#261	1	1	yes	characteristic
1643	C₂²×C₄	C₂²×#261	1	1	yes	characteristic
1644	C₂²×C₄	C₂²×#261	1	1	yes	characteristic
1645	C₂²×C₄	C₂²×#261	1	1	yes	characteristic
1646	C₂²×C₄	C₂²×#261	1	1	yes	characteristic
1647	C₄⋊C₄	—	13	1	no	—
1648	C₄⋊C₄	—	13	1	no	—
1649	C₄⋊C₄	—	13	1	no	—
1650	C₄⋊C₄	—	13	1	no	—
1651	C₄⋊C₄	—	13	1	no	—
1652	C₄⋊C₄	—	13	1	no	—
1653	C₄⋊C₄	—	13	1	no	—
1654	C₄⋊C₄	—	13	1	no	—
1655	C₄⋊C₄	—	13	1	no	—
1656	C₄⋊C₄	—	13	1	no	—
1657	C₄⋊C₄	—	13	1	no	—
1658	C₄⋊C₄	—	13	1	no	—
1659	C₄⋊C₄	—	13	1	no	—
1660	C₄⋊C₄	—	13	1	no	—
1661	C₄⋊C₄	—	13	1	no	—
1662	C₄⋊C₄	—	13	1	no	—
1663	C₄⋊C₄	—	13	1	no	—
1664	C₄⋊C₄	—	13	1	no	—
1665	C₄⋊C₄	—	13	1	no	—
1666	C₄⋊C₄	—	13	1	no	—
1667	C₄⋊C₄	—	13	1	no	—
1668	C₄⋊C₄	—	13	1	no	—
1669	C₄⋊C₄	—	13	1	no	—
1670	C₄⋊C₄	—	13	1	no	—
1671	C₄⋊C₄	—	13	1	no	—
1672	C₄⋊C₄	—	13	1	no	—
1673	C₄⋊C₄	—	13	1	no	—
1674	C₄⋊C₄	—	13	1	no	—
1675	C₄⋊C₄	—	13	1	no	—
1676	C₄⋊C₄	—	13	1	no	—
1677	C₄⋊C₄	—	26	2	no	—
1678	C₄⋊C₄	—	26	2	no	—
1679	C₄⋊C₄	—	52	1	no	—
1680	C₄⋊C₄	—	52	1	no	—
1681	C₄⋊C₄	—	52	1	no	—
1682	C₄⋊C₄	—	52	1	no	—
1683	C₄⋊C₄	—	52	1	no	—
1684	C₄⋊C₄	—	52	1	no	—
1685	C₄⋊C₄	—	52	1	no	—
1686	C₄⋊C₄	—	52	1	no	—
1687	C₄⋊C₄	—	52	1	no	—
1688	C₄⋊C₄	—	52	1	no	—
1689	C₄⋊C₄	—	52	1	no	—
1690	C₄⋊C₄	—	52	1	no	—
1691	C₄⋊C₄	—	52	1	no	—
1692	C₄⋊C₄	—	52	1	no	—
1693	C₄⋊C₄	—	52	1	no	—
1694	C₄⋊C₄	—	52	1	no	—
1695	C₄⋊C₄	—	52	1	no	—
1696	C₄⋊C₄	—	52	1	no	—
1697	C₄⋊C₄	C₂²×#261	1	1	yes	characteristic
1698	C₄⋊C₄	C₂²×#261	1	1	yes	characteristic
1699	C₄⋊C₄	C₂²×#261	1	1	yes	characteristic
1700	C₄⋊C₄	C₂²×#261	1	1	yes	characteristic
1701	C₄⋊C₄	C₂²×#261	1	1	yes	characteristic
1702	C₄⋊C₄	C₂²×#261	1	1	yes	characteristic
1703	C₄⋊C₄	C₂²×#261	1	1	yes	characteristic
1704	C₄⋊C₄	C₂²×#261	1	1	yes	characteristic
1705	C₄⋊C₄	C₂²×#261	1	1	yes	characteristic
1706	C₄⋊C₄	C₂²×#261	1	1	yes	characteristic
1707	C₂²⋊C₄	—	13	1	no	—
1708	C₂²⋊C₄	—	13	1	no	—
1709	C₂²⋊C₄	—	13	1	no	—
1710	C₂²⋊C₄	—	13	1	no	—
1711	C₂²⋊C₄	—	13	1	no	—
1712	C₂²⋊C₄	—	13	1	no	—
1713	C₂²⋊C₄	—	13	1	no	—
1714	C₂²⋊C₄	—	13	1	no	—
1715	C₂²⋊C₄	—	13	1	no	—
1716	C₂²⋊C₄	—	13	1	no	—
1717	C₂²⋊C₄	—	13	1	no	—
1718	C₂²⋊C₄	—	13	1	no	—
1719	C₂²⋊C₄	—	13	1	no	—
1720	C₂²⋊C₄	—	13	1	no	—
1721	C₂²⋊C₄	—	13	1	no	—
1722	C₂²⋊C₄	—	13	1	no	—
1723	C₂²⋊C₄	—	13	1	no	—
1724	C₂²⋊C₄	—	13	1	no	—
1725	C₂²⋊C₄	—	13	1	no	—
1726	C₂²⋊C₄	—	13	1	no	—
1727	C₂²⋊C₄	—	13	1	no	—
1728	C₂²⋊C₄	—	13	1	no	—
1729	C₂²⋊C₄	—	13	1	no	—
1730	C₂²⋊C₄	—	13	1	no	—
1731	C₂²⋊C₄	—	13	1	no	—
1732	C₂²⋊C₄	—	13	1	no	—
1733	C₂²⋊C₄	—	13	1	no	—
1734	C₂²⋊C₄	—	13	1	no	—
1735	C₂²⋊C₄	—	13	1	no	—
1736	C₂²⋊C₄	—	13	1	no	—
1737	C₂²⋊C₄	—	26	2	no	—
1738	C₂²⋊C₄	—	26	2	no	—
1739	C₂²⋊C₄	—	52	1	no	—
1740	C₂²⋊C₄	—	52	1	no	—
1741	C₂²⋊C₄	—	52	1	no	—
1742	C₂²⋊C₄	—	52	1	no	—
1743	C₂²⋊C₄	—	52	1	no	—
1744	C₂²⋊C₄	—	52	1	no	—
1745	C₂²⋊C₄	—	52	1	no	—
1746	C₂²⋊C₄	—	52	1	no	—
1747	C₂²⋊C₄	—	52	1	no	—
1748	C₂²⋊C₄	—	52	1	no	—
1749	C₂²⋊C₄	—	52	1	no	—
1750	C₂²⋊C₄	—	52	1	no	—
1751	C₂²⋊C₄	—	52	1	no	—
1752	C₂²⋊C₄	—	52	1	no	—
1753	C₂²⋊C₄	—	52	1	no	—
1754	C₂²⋊C₄	—	52	1	no	—
1755	C₂²⋊C₄	—	52	1	no	—
1756	C₂²⋊C₄	—	52	1	no	—
1757	C₂²⋊C₄	—	52	1	no	—
1758	C₂²⋊C₄	—	52	1	no	—
1759	C₂²⋊C₄	—	52	1	no	—
1760	C₂²⋊C₄	—	52	1	no	—
1761	C₂²⋊C₄	—	52	1	no	—
1762	C₂²⋊C₄	—	52	1	no	—
1763	C₂²⋊C₄	C₂²×#261	1	1	yes	characteristic
1764	C₂²⋊C₄	C₂²×#261	1	1	yes	characteristic
1765	C₂²⋊C₄	C₂²×#261	1	1	yes	characteristic
1766	C₂²⋊C₄	C₂²×#261	1	1	yes	characteristic
1767	C₂²⋊C₄	C₂²×#261	1	1	yes	characteristic
1768	C₂²⋊C₄	C₂²×#261	1	1	yes	characteristic
1769	C₂²⋊C₄	C₂²×#261	1	1	yes	characteristic
1770	C₂²⋊C₄	C₂²×#261	1	1	yes	characteristic
1771	C₂²⋊C₄	C₂²×#261	1	1	yes	characteristic
1772	C₂²⋊C₄	C₂²×#261	1	1	yes	characteristic
1773	C₄²	—	13	1	no	—
1774	C₄²	—	13	1	no	—
1775	C₄²	—	13	1	no	—
1776	C₄²	—	13	1	no	—
1777	C₄²	—	13	1	no	—
1778	C₄²	—	13	1	no	—
1779	C₄²	—	13	1	no	—
1780	C₄²	—	13	1	no	—
1781	C₄²	—	13	1	no	—
1782	C₄²	—	26	2	no	—
1783	C₄²	—	26	2	no	—
1784	C₄²	—	26	2	no	—
1785	C₄²	—	52	1	no	—
1786	C₄²	—	52	1	no	—
1787	C₄²	—	52	1	no	—
1788	C₄²	—	52	1	no	—
1789	C₄²	—	52	1	no	—
1790	C₄²	—	52	1	no	—
1791	C₄²	—	52	1	no	—
1792	C₄²	—	52	1	no	—
1793	C₄²	—	52	1	no	—
1794	C₄²	—	52	1	no	—
1795	C₄²	—	52	1	no	—
1796	C₄²	—	52	1	no	—
1797	C₄²	—	52	1	no	—
1798	C₄²	—	52	1	no	—
1799	C₄²	—	52	1	no	—
1800	C₄²	—	52	1	no	—
1801	C₄²	—	52	1	no	—
1802	C₄²	C₂²×#261	1	1	yes	characteristic
1803	C₄²	C₂²×#261	1	1	yes	characteristic
1804	C₄²	C₂²×#261	1	1	yes	characteristic
1805	C₁₃	#34509	1	1	yes	characteristic, complemented, Sylow
1806	C₂³	—	13	1	no	—
1807	C₂³	—	13	1	no	—
1808	C₂³	—	13	1	no	—
1809	C₂³	—	13	1	no	—
1810	C₂³	—	13	1	no	—
1811	C₂³	—	26	1	no	—
1812	C₂³	—	26	1	no	—
1813	C₂³	—	26	1	no	—
1814	C₂³	—	26	1	no	—
1815	C₂³	—	26	1	no	—
1816	C₂³	—	26	1	no	—
1817	C₂³	—	26	1	no	—
1818	C₂³	—	26	1	no	—
1819	C₂³	—	26	1	no	—
1820	C₂³	—	26	1	no	—
1821	C₂³	—	26	1	no	—
1822	C₂³	—	26	1	no	—
1823	C₂³	—	26	1	no	—
1824	C₂³	—	26	1	no	—
1825	C₂³	—	26	1	no	—
1826	C₂³	—	26	1	no	—
1827	C₂³	—	26	1	no	—
1828	C₂³	—	26	1	no	—
1829	C₂³	—	26	1	no	—
1830	C₂³	—	26	1	no	—
1831	C₂³	—	26	1	no	—
1832	C₂³	—	26	1	no	—
1833	C₂³	—	26	1	no	—
1834	C₂³	—	26	1	no	—
1835	C₂³	C₂³×#261	1	1	yes	characteristic
1836	C₂³	C₂³×#261	1	1	yes	characteristic
1837	C₂³	C₂³×#261	1	1	yes	characteristic
1838	C₂³	C₂³×#261	1	1	yes	characteristic
1839	D₄	—	4	1	no	—
1840	D₄	—	4	1	no	—
1841	D₄	—	4	1	no	—
1842	D₄	—	4	1	no	—
1843	D₄	—	4	1	no	—
1844	D₄	—	4	1	no	—
1845	D₄	—	52	1	no	—
1846	D₄	—	52	1	no	—
1847	D₄	—	52	1	no	—
1848	D₄	—	52	1	no	—
1849	D₄	—	52	1	no	—
1850	D₄	—	52	1	no	—
1851	D₄	—	52	1	no	—
1852	D₄	—	52	1	no	—
1853	D₄	—	52	1	no	—
1854	D₄	—	52	1	no	—
1855	D₄	—	52	1	no	—
1856	D₄	—	52	1	no	—
1857	D₄	—	52	1	no	—
1858	D₄	—	52	1	no	—
1859	D₄	—	52	1	no	—
1860	D₄	—	52	1	no	—
1861	D₄	—	52	1	no	—
1862	D₄	—	52	1	no	—
1863	C₂×C₄	—	4	1	no	—
1864	C₂×C₄	—	4	1	no	—
1865	C₂×C₄	—	4	1	no	—
1866	C₂×C₄	—	4	1	no	—
1867	C₂×C₄	—	4	1	no	—
1868	C₂×C₄	—	4	1	no	—
1869	C₂×C₄	—	13	2	no	—
1870	C₂×C₄	—	13	1	no	—
1871	C₂×C₄	—	13	1	no	—
1872	C₂×C₄	—	13	1	no	—
1873	C₂×C₄	—	13	1	no	—
1874	C₂×C₄	—	13	1	no	—
1875	C₂×C₄	—	13	1	no	—
1876	C₂×C₄	—	13	1	no	—
1877	C₂×C₄	—	13	1	no	—
1878	C₂×C₄	—	13	1	no	—
1879	C₂×C₄	—	13	1	no	—
1880	C₂×C₄	—	13	1	no	—
1881	C₂×C₄	—	26	1	no	—
1882	C₂×C₄	—	26	1	no	—
1883	C₂×C₄	—	26	1	no	—
1884	C₂×C₄	—	26	1	no	—
1885	C₂×C₄	—	26	1	no	—
1886	C₂×C₄	—	26	1	no	—
1887	C₂×C₄	—	26	1	no	—
1888	C₂×C₄	—	26	1	no	—
1889	C₂×C₄	—	26	1	no	—
1890	C₂×C₄	—	26	1	no	—
1891	C₂×C₄	—	26	1	no	—
1892	C₂×C₄	—	26	1	no	—
1893	C₂×C₄	—	26	1	no	—
1894	C₂×C₄	—	26	1	no	—
1895	C₂×C₄	—	26	1	no	—
1896	C₂×C₄	—	26	1	no	—
1897	C₂×C₄	—	26	1	no	—
1898	C₂×C₄	—	26	1	no	—
1899	C₂×C₄	—	26	1	no	—
1900	C₂×C₄	—	26	1	no	—
1901	C₂×C₄	—	26	1	no	—
1902	C₂×C₄	—	26	1	no	—
1903	C₂×C₄	—	26	1	no	—
1904	C₂×C₄	—	26	1	no	—
1905	C₂×C₄	—	26	1	no	—
1906	C₂×C₄	—	26	1	no	—
1907	C₂×C₄	—	26	1	no	—
1908	C₂×C₄	—	26	1	no	—
1909	C₂×C₄	—	26	1	no	—
1910	C₂×C₄	—	26	1	no	—
1911	C₂×C₄	—	26	1	no	—
1912	C₂×C₄	—	26	1	no	—
1913	C₂×C₄	—	26	1	no	—
1914	C₂×C₄	—	26	1	no	—
1915	C₂×C₄	—	26	1	no	—
1916	C₂×C₄	—	26	1	no	—
1917	C₂×C₄	—	26	1	no	—
1918	C₂×C₄	—	26	1	no	—
1919	C₂×C₄	—	26	1	no	—
1920	C₂×C₄	—	26	1	no	—
1921	C₂×C₄	—	26	1	no	—
1922	C₂×C₄	—	26	1	no	—
1923	C₂×C₄	—	26	1	no	—
1924	C₂×C₄	—	26	1	no	—
1925	C₂×C₄	—	26	1	no	—
1926	C₂×C₄	—	26	1	no	—
1927	C₂×C₄	—	26	1	no	—
1928	C₂×C₄	—	26	1	no	—
1929	C₂×C₄	—	26	1	no	—
1930	C₂×C₄	—	26	1	no	—
1931	C₂×C₄	—	26	1	no	—
1932	C₂×C₄	—	26	1	no	—
1933	C₂×C₄	—	26	1	no	—
1934	C₂×C₄	—	26	1	no	—
1935	C₂×C₄	—	26	1	no	—
1936	C₂×C₄	—	26	1	no	—
1937	C₂×C₄	—	26	1	no	—
1938	C₂×C₄	—	26	1	no	—
1939	C₂×C₄	—	26	1	no	—
1940	C₂×C₄	—	26	1	no	—
1941	C₂×C₄	—	26	1	no	—
1942	C₂×C₄	—	26	1	no	—
1943	C₂×C₄	—	26	1	no	—
1944	C₂×C₄	—	26	1	no	—
1945	C₂×C₄	—	26	1	no	—
1946	C₂×C₄	—	26	1	no	—
1947	C₂×C₄	—	26	1	no	—
1948	C₂×C₄	—	26	1	no	—
1949	C₂×C₄	—	26	1	no	—
1950	C₂×C₄	—	52	1	no	—
1951	C₂×C₄	—	52	1	no	—
1952	C₂×C₄	—	52	1	no	—
1953	C₂×C₄	—	52	1	no	—
1954	C₂×C₄	—	52	1	no	—
1955	C₂×C₄	—	52	1	no	—
1956	C₂×C₄	—	52	1	no	—
1957	C₂×C₄	—	52	1	no	—
1958	C₂×C₄	—	52	1	no	—
1959	C₂×C₄	—	52	1	no	—
1960	C₂×C₄	—	52	1	no	—
1961	C₂×C₄	—	52	1	no	—
1962	C₂×C₄	—	52	1	no	—
1963	C₂×C₄	—	52	1	no	—
1964	C₂×C₄	—	52	1	no	—
1965	C₂×C₄	—	52	1	no	—
1966	C₂×C₄	—	52	1	no	—
1967	C₂×C₄	—	52	1	no	—
1968	C₂×C₄	—	52	4	no	—
1969	C₂×C₄	—	52	4	no	—
1970	C₂×C₄	—	104	2	no	—
1971	C₂×C₄	—	104	2	no	—
1972	C₂×C₄	—	104	2	no	—
1973	C₂×C₄	—	104	2	no	—
1974	C₂×C₄	C₂³×#261	1	1	yes	characteristic
1975	C₂×C₄	C₂³×#261	1	1	yes	characteristic
1976	C₂×C₄	C₂³×#261	1	1	yes	characteristic
1977	C₂×C₄	C₂³×#261	1	1	yes	characteristic
1978	C₂×C₄	C₂³×#261	1	1	yes	characteristic
1979	C₂×C₄	C₂³×#261	1	1	yes	characteristic
1980	C₂×C₄	C₂³×#261	1	1	yes	characteristic
1981	C₂×C₄	C₂³×#261	1	1	yes	characteristic
1982	C₂×C₄	C₂³×#261	1	1	yes	characteristic
1983	C₂×C₄	C₂³×#261	1	1	yes	characteristic
1984	C₂×C₄	C₂³×#261	1	1	yes	characteristic
1985	C₂²	—	2	1	no	—
1986	C₂²	—	2	1	no	—
1987	C₂²	—	2	1	no	—
1988	C₂²	—	2	1	no	—
1989	C₂²	—	2	1	no	—
1990	C₂²	—	2	1	no	—
1991	C₂²	—	2	1	no	—
1992	C₂²	—	2	1	no	—
1993	C₂²	—	2	1	no	—
1994	C₂²	—	2	1	no	—
1995	C₂²	—	2	1	no	—
1996	C₂²	—	2	1	no	—
1997	C₂²	—	13	1	no	—
1998	C₂²	—	13	1	no	—
1999	C₂²	—	13	1	no	—
2000	C₂²	—	13	1	no	—
2001	C₂²	—	13	1	no	—
2002	C₂²	—	13	1	no	—
2003	C₂²	—	26	1	no	—
2004	C₂²	—	26	1	no	—
2005	C₂²	—	26	1	no	—
2006	C₂²	—	26	1	no	—
2007	C₂²	—	26	1	no	—
2008	C₂²	—	26	1	no	—
2009	C₂²	—	26	1	no	—
2010	C₂²	—	26	1	no	—
2011	C₂²	—	26	1	no	—
2012	C₂²	—	26	1	no	—
2013	C₂²	—	26	1	no	—
2014	C₂²	—	26	1	no	—
2015	C₂²	—	52	1	no	—
2016	C₂²	—	52	1	no	—
2017	C₂²	—	52	1	no	—
2018	C₂²	—	52	1	no	—
2019	C₂²	—	52	1	no	—
2020	C₂²	—	52	1	no	—
2021	C₂²	—	52	1	no	—
2022	C₂²	—	52	1	no	—
2023	C₂²	—	52	1	no	—
2024	C₂²	—	52	1	no	—
2025	C₂²	—	52	1	no	—
2026	C₂²	—	52	1	no	—
2027	C₂²	—	52	1	no	—
2028	C₂²	—	52	1	no	—
2029	C₂²	—	52	1	no	—
2030	C₂²	—	52	1	no	—
2031	C₂²	C₂⁴×#261	1	1	yes	characteristic
2032	C₄	—	2	1	no	—
2033	C₄	—	2	1	no	—
2034	C₄	—	2	1	no	—
2035	C₄	—	2	1	no	—
2036	C₄	—	2	1	no	—
2037	C₄	—	2	1	no	—
2038	C₄	—	2	1	no	—
2039	C₄	—	2	1	no	—
2040	C₄	—	2	1	no	—
2041	C₄	—	2	1	no	—
2042	C₄	—	2	1	no	—
2043	C₄	—	26	2	no	—
2044	C₄	—	26	1	no	—
2045	C₄	—	26	1	no	—
2046	C₄	—	26	1	no	—
2047	C₄	—	26	1	no	—
2048	C₄	—	26	1	no	—
2049	C₄	—	26	1	no	—
2050	C₄	—	26	1	no	—
2051	C₄	—	26	1	no	—
2052	C₄	—	26	1	no	—
2053	C₄	—	26	1	no	—
2054	C₄	—	26	1	no	—
2055	C₄	—	52	1	no	—
2056	C₄	—	52	1	no	—
2057	C₄	—	52	1	no	—
2058	C₄	—	52	1	no	—
2059	C₄	—	52	1	no	—
2060	C₄	—	52	1	no	—
2061	C₄	—	52	1	no	—
2062	C₄	—	52	1	no	—
2063	C₄	—	52	1	no	—
2064	C₄	—	52	1	no	—
2065	C₄	—	52	1	no	—
2066	C₄	—	52	1	no	—
2067	C₄	—	52	1	no	—
2068	C₄	—	52	1	no	—
2069	C₄	—	52	1	no	—
2070	C₂	—	4	1	no	—
2071	C₂	—	4	1	no	—
2072	C₂	—	4	1	no	—
2073	C₂	—	4	1	no	—
2074	C₂	—	13	1	no	—
2075	C₂	—	13	1	no	—
2076	C₂	—	13	1	no	—
2077	C₂	—	13	1	no	—
2078	C₂	—	52	1	no	—
2079	C₂	—	52	1	no	—
2080	C₂	—	52	1	no	—
2081	C₂	—	52	1	no	—
2082	C₂	#13131816	1	1	yes	characteristic
2083	C₂	#13131816	1	1	yes	characteristic
2084	C₂	H(5,𝔽₂)×#261	1	1	yes	characteristic

	subgroup	G/H
center, Frattini	C₂²	C₂⁴×#261
commutator, socle	C₂²×C₁₃	C₂⁴×C₄
Fitting	C₁₃×#553	C₄
prime radical	D₁₃×#553	C₂
cosocle	C₂²×D₁₃	C₂⁵
hypercenter	#553	#261
hypocenter	C₁₃	#34509
LCS	G ▷ C₂²×C₁₃ ▷ C₁₃
UCS	C₁ ◁ C₂² ◁ #553

Complements

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

N	H ≅ G/N	type
1. #13131383	C₂	semidirect
2. #13131377	C₂	semidirect
3. #13131377	C₂	semidirect
4. #13131377	C₂	semidirect
5. #13131374	C₂	semidirect
6. #13131373	C₂	semidirect
7. #13131371	C₂	semidirect
8. #13131363	C₂	semidirect
9. #13131359	C₂	semidirect
10. #13131357	C₂	semidirect
11. #13131354	C₂	semidirect
12. #13131353	C₂	semidirect
13. #13131353	C₂	semidirect
14. #13131344	C₂	semidirect
15. #13131343	C₂	semidirect
16. #13131336	C₂	semidirect
17. #13131335	C₂	semidirect
18. #13131334	C₂	semidirect
19. #13131334	C₂	semidirect
20. #13131333	C₂	semidirect
21. #13131333	C₂	semidirect
22. #13131325	C₂	semidirect
23. #13131324	C₂	semidirect
24. #13131319	C₂	semidirect
25. #13131318	C₂	semidirect
26. #13131314	C₂	semidirect
27. #13131313	C₂	semidirect
28. #123×#261	C₂	semidirect
29. #13131290	C₂	semidirect
30. #13131290	C₂	semidirect
38. C₁₃×#553	C₄	semidirect
39. #11719414	C₄	semidirect
40. #11719414	C₄	semidirect
43. #11719400	C₄	semidirect
45. #11719366	C₄	semidirect
46. #11719366	C₄	semidirect
49. #11719323	C₄	semidirect
50. #11719319	C₄	semidirect
55. #11719306	C₄	semidirect
56. #11719306	C₄	semidirect
57. #11719270	C₄	semidirect
58. #11719263	C₄	semidirect
63. #11719245	C₄	semidirect
64. #11719245	C₄	semidirect
65. #11719235	C₄	semidirect
67. #11719219	C₄	semidirect
293. C₁₃×#126	C₂×C₄	semidirect
294. C₁₃×#126	C₂×C₄	semidirect
295. C₁₃×#125	C₂×C₄	semidirect
296. C₁₃×#123	C₂×C₄	semidirect
297. C₁₃×#123	C₂×C₄	semidirect
299. C₁₃×#121	C₂×C₄	semidirect
300. C₁₃×#121	C₂×C₄	semidirect
301. C₁₃×#121	C₂×C₄	semidirect
302. C₄×D₄×C₁₃	C₂×C₄	semidirect
303. C₄×D₄×C₁₃	C₂×C₄	semidirect
304. C₄×D₄×C₁₃	C₂×C₄	semidirect
305. C₄×D₄×C₁₃	C₂×C₄	semidirect
306. C₁₃×#117	C₂×C₄	semidirect
307. C₂×C₁₃×C₄⋊C₄	C₂×C₄	semidirect
310. #88193	C₂×C₄	semidirect
311. #88193	C₂×C₄	semidirect
312. #88193	C₂×C₄	semidirect
313. #88193	C₂×C₄	semidirect
314. #88193	C₂×C₄	semidirect
315. #88193	C₂×C₄	semidirect
317. #88192	C₂×C₄	semidirect
318. #88192	C₂×C₄	semidirect
319. #88192	C₂×C₄	semidirect
320. #88189	C₂×C₄	semidirect
321. #88189	C₂×C₄	semidirect
322. D₄×Dic₁₃	C₂×C₄	semidirect
323. D₄×Dic₁₃	C₂×C₄	semidirect
324. D₄×Dic₁₃	C₂×C₄	semidirect
325. D₄×Dic₁₃	C₂×C₄	semidirect
327. #88184	C₂×C₄	semidirect
328. #88184	C₂×C₄	semidirect
329. #88184	C₂×C₄	semidirect
330. #88183	C₂×C₄	semidirect
331. #88183	C₂×C₄	semidirect
332. C₄×C₂²⋊D₁₃	C₂×C₄	semidirect
333. C₄×C₂²⋊D₁₃	C₂×C₄	semidirect
334. C₄×C₂²⋊D₁₃	C₂×C₄	semidirect
335. C₄×C₂²⋊D₁₃	C₂×C₄	semidirect
336. C₄×C₂²⋊D₁₃	C₂×C₄	semidirect
337. C₄×C₂²⋊D₁₃	C₂×C₄	semidirect
338. C₄×C₂²⋊D₁₃	C₂×C₄	semidirect
339. C₄×C₂²⋊D₁₃	C₂×C₄	semidirect
340. #88180	C₂×C₄	semidirect
341. C₂×C₄⋊Dic₁₃	C₂×C₄	semidirect
342. C₂×#6101	C₂×C₄	semidirect
343. C₂×#6101	C₂×C₄	semidirect
344. #88152	C₂×C₄	semidirect
345. #88152	C₂×C₄	semidirect
346. #88152	C₂×C₄	semidirect
347. #88152	C₂×C₄	semidirect
348. #88152	C₂×C₄	semidirect
349. #88152	C₂×C₄	semidirect
351. #88149	C₂×C₄	semidirect
352. #88149	C₂×C₄	semidirect
353. #88149	C₂×C₄	semidirect
354. #88148	C₂×C₄	semidirect
355. #88148	C₂×C₄	semidirect
356. #88148	C₂×C₄	semidirect
357. #88148	C₂×C₄	semidirect
358. #88147	C₂×C₄	semidirect
359. #88147	C₂×C₄	semidirect
360. #88147	C₂×C₄	semidirect
361. #88147	C₂×C₄	semidirect
362. #88146	C₂×C₄	semidirect
363. #88146	C₂×C₄	semidirect
364. C₄⋊C₄×D₁₃	C₂×C₄	semidirect
365. C₄⋊C₄×D₁₃	C₂×C₄	semidirect
366. C₄⋊C₄×D₁₃	C₂×C₄	semidirect
367. C₄⋊C₄×D₁₃	C₂×C₄	semidirect
378. #88144	C₂×C₄	semidirect
379. #88144	C₂×C₄	semidirect
380. #88143	C₂×C₄	semidirect
381. #88143	C₂×C₄	semidirect
382. #88143	C₂×C₄	semidirect
383. #88143	C₂×C₄	semidirect
384. #88140	C₂×C₄	semidirect
385. #88140	C₂×C₄	semidirect
388. #88138	C₂×C₄	semidirect
389. #88138	C₂×C₄	semidirect
390. #88138	C₂×C₄	semidirect
391. #88138	C₂×C₄	semidirect
392. #88138	C₂×C₄	semidirect
393. #88138	C₂×C₄	semidirect
394. #88137	C₂×C₄	semidirect
395. #88137	C₂×C₄	semidirect
396. #88137	C₂×C₄	semidirect
397. #88137	C₂×C₄	semidirect
398. #88135	C₂×C₄	semidirect
399. #88135	C₂×C₄	semidirect
400. #88135	C₂×C₄	semidirect
401. #88135	C₂×C₄	semidirect
402. #88135	C₂×C₄	semidirect
403. #88135	C₂×C₄	semidirect
404. #88135	C₂×C₄	semidirect
405. #88135	C₂×C₄	semidirect
416. #88133	C₂×C₄	semidirect
417. #88133	C₂×C₄	semidirect
418. #88133	C₂×C₄	semidirect
419. #88133	C₂×C₄	semidirect
420. #88133	C₂×C₄	semidirect
421. #88133	C₂×C₄	semidirect
422. #88131	C₂×C₄	semidirect
423. #88131	C₂×C₄	semidirect
424. #88130	C₂×C₄	semidirect
425. #88130	C₂×C₄	semidirect
426. C₄×D₅₂	C₂×C₄	semidirect
427. C₄×D₅₂	C₂×C₄	semidirect
428. C₄×D₅₂	C₂×C₄	semidirect
429. C₄×D₅₂	C₂×C₄	semidirect
430. #88126	C₂×C₄	semidirect
431. #88126	C₂×C₄	semidirect
435. #88124	C₂×C₄	semidirect
989. #553	#261	semidirect
1262. #126	C₂×#261	semidirect
1263. #126	C₂×#261	semidirect
1271. #125	C₂×#261	semidirect
1286. #123	C₂×#261	semidirect
1287. #123	C₂×#261	semidirect
1317. #121	C₂×#261	semidirect
1318. #121	C₂×#261	semidirect
1319. #121	C₂×#261	semidirect
1350. C₄×D₄	C₂×#261	semidirect
1351. C₄×D₄	C₂×#261	semidirect
1352. C₄×D₄	C₂×#261	semidirect
1353. C₄×D₄	C₂×#261	semidirect
1364. #117	C₂×#261	semidirect
1402. C₂×C₄⋊C₄	C₂×#261	semidirect
1805. C₁₃	#34509	semidirect

Maximal subgroups

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

subgroup	index
#13131383	2
#13131377	2
#13131374	2
#13131373	2
#13131371	2
#13131363	2
#13131359	2
#13131357	2
#13131354	2
#13131353	2
#13131344	2
#13131343	2
#13131336	2
#13131335	2
#13131334	2
#13131333	2
#13131325	2
#13131324	2
#13131319	2
#13131318	2
#13131314	2
#13131313	2
#123×#261	2
#13131290	2
D₁₃×#553	2
#34509	13