Subgroups — C₂×#13128519 #16770826

Order 3328.

9502 conjugacy classes of subgroups.

The subgroup lattice has 1316 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#13128519	C₂	1	32	yes	maximal, direct product factor
2	C₂×#11719261	C₂	1	2	yes	maximal, complemented
3	C₂×#11719342	C₂	1	2	yes	maximal, complemented
4	C₂×#11719232	C₂	1	2	yes	maximal, complemented
5	C₂×#11719363	C₂	1	2	yes	maximal, complemented
6	C₂×#11719259	C₂	1	2	yes	maximal, complemented
7	C₂×#11719359	C₂	1	2	yes	maximal, complemented
8	C₂×#11719315	C₂	1	2	yes	maximal, complemented
9	C₂×#11719534	C₂	1	2	yes	maximal, complemented
10	C₂×#11719339	C₂	1	1	yes	maximal, characteristic, complemented
11	C₂×#11719349	C₂	1	1	yes	maximal, characteristic, complemented
12	C₂×#11719322	C₂	1	1	yes	maximal, characteristic, complemented
13	C₂×#11719265	C₂	1	2	yes	maximal, complemented
14	C₂×#11719310	C₂	1	1	yes	maximal, characteristic, complemented
15	C₂×#11719496	C₂	1	1	yes	maximal, characteristic, complemented
16	C₂×#11719291	C₂	1	2	yes	maximal, complemented
17	C₂×D₁₃×#120	C₂	1	2	yes	maximal, complemented
18	C₂×#11719250	C₂	1	2	yes	maximal, complemented
19	C₂³×#6103	C₂	1	1	yes	maximal, characteristic, complemented
20	C₂×C₁₃×#525	C₂	1	1	yes	maximal, characteristic, complemented
21	C₂⁵×D₁₃	C₂²	1	1	yes	characteristic
22	C₂²×C₁₃×#41	C₂²	1	1	yes	characteristic, complemented
23	C₂⁴×C₄×C₁₃	C₂²	1	1	yes	characteristic, complemented
24	C₂⁴×Dic₁₃	C₂²	1	1	yes	characteristic, complemented
25	C₂²×#6129	C₂²	1	2	yes	complemented
26	C₂²×D₄×D₁₃	C₂²	1	2	yes	—
27	C₂²×D₄×D₁₃	C₂²	1	2	yes	complemented
28	C₂²×D₄×D₁₃	C₂²	1	2	yes	complemented
29	C₂²×#6127	C₂²	1	1	yes	characteristic, complemented
30	C₁₃×#525	C₂²	1	16	yes	complemented
31	C₂×C₁₃×#123	C₂²	1	2	yes	complemented
32	C₂×C₁₃×C₂²⋊Q₈	C₂²	1	1	yes	characteristic, complemented
33	C₂×C₁₃×C₂²⋊Q₈	C₂²	1	1	yes	characteristic, complemented
34	C₂×C₁₃×#121	C₂²	1	1	yes	characteristic, complemented
35	C₂×C₁₃×#121	C₂²	1	1	yes	characteristic, complemented
36	C₂×C₁₃×#120	C₂²	1	2	yes	complemented
37	C₂×C₄×D₄×C₁₃	C₂²	1	2	yes	complemented
38	C₂×C₄×D₄×C₁₃	C₂²	1	2	yes	complemented
39	C₂×C₁₃×#117	C₂²	1	1	yes	characteristic, complemented
40	C₂×#88207	C₂²	1	2	yes	complemented
41	#11719534	C₂²	1	32	yes	complemented
42	C₂×#88201	C₂²	1	2	yes	complemented
43	C₂×#88200	C₂²	1	2	yes	complemented
44	C₂×#88193	C₂²	1	2	yes	complemented
45	C₂×#88193	C₂²	1	2	yes	complemented
46	C₂×#88193	C₂²	1	2	yes	complemented
47	C₂×#88191	C₂²	1	2	yes	—
48	C₂×#88191	C₂²	1	2	yes	—
49	C₂×#88191	C₂²	1	2	yes	complemented
50	C₂×#88191	C₂²	1	2	yes	complemented
51	C₂×#88189	C₂²	1	2	yes	complemented
52	C₂×D₄×Dic₁₃	C₂²	1	2	yes	complemented
53	C₂×D₄×Dic₁₃	C₂²	1	2	yes	complemented
54	#11719496	C₂²	1	16	yes	complemented
55	C₂×#88184	C₂²	1	2	yes	complemented
56	C₂×#88184	C₂²	1	1	yes	characteristic, complemented
57	C₂×#88184	C₂²	1	1	yes	characteristic, complemented
58	C₂×#88183	C₂²	1	2	yes	complemented
59	C₂×#88183	C₂²	1	2	yes	complemented
60	C₂×C₄×C₂²⋊D₁₃	C₂²	1	2	yes	complemented
61	C₂×C₄×C₂²⋊D₁₃	C₂²	1	2	yes	complemented
62	C₂×C₄×C₂²⋊D₁₃	C₂²	1	2	yes	complemented
63	C₂²×#6103	C₂²	1	1	yes	characteristic
64	C₂²×#6103	C₂²	1	1	yes	characteristic
65	C₂²×#6103	C₂²	1	2	yes	complemented
66	C₂²×#6103	C₂²	1	2	yes	complemented
67	C₂²×#6103	C₂²	1	2	yes	complemented
68	C₂²×#6103	C₂²	1	2	yes	complemented
69	C₂²×#6103	C₂²	1	1	yes	characteristic, complemented
70	C₂²×#6103	C₂²	1	1	yes	characteristic, complemented
71	C₂²×#6103	C₂²	1	16	yes	complemented
72	C₂²×#6103	C₂²	1	2	yes	complemented
73	C₂×#88180	C₂²	1	1	yes	characteristic, complemented
74	C₂×#88178	C₂²	1	1	yes	characteristic, complemented
75	C₂×#88178	C₂²	1	1	yes	characteristic, complemented
76	#11719363	C₂²	1	32	yes	complemented
77	#11719359	C₂²	1	32	yes	complemented
78	#11719349	C₂²	1	16	yes	complemented
79	#11719342	C₂²	1	32	yes	complemented
80	#11719339	C₂²	1	16	yes	complemented
81	#11719322	C₂²	1	16	yes	complemented
82	#11719315	C₂²	1	32	yes	complemented
83	#11719310	C₂²	1	16	yes	complemented
84	D₁₃×#120	C₂²	1	32	yes	complemented
85	#11719291	C₂²	1	32	yes	complemented
86	#11719265	C₂²	1	32	yes	complemented
87	#11719261	C₂²	1	32	yes	complemented
88	#11719259	C₂²	1	32	yes	complemented
89	#11719250	C₂²	1	32	yes	complemented
90	#11719232	C₂²	1	32	yes	complemented
91	C₂×#88152	C₂²	1	2	yes	complemented
92	C₂×#88152	C₂²	1	2	yes	complemented
93	C₂×#88152	C₂²	1	2	yes	complemented
94	C₂×#88151	C₂²	1	2	yes	complemented
95	C₂×#88150	C₂²	1	2	yes	complemented
96	C₂×#88150	C₂²	1	2	yes	complemented
97	C₂×#88149	C₂²	1	2	yes	complemented
98	C₂×#88148	C₂²	1	2	yes	complemented
99	C₂×#88148	C₂²	1	2	yes	complemented
100	C₂×#88148	C₂²	1	2	yes	complemented
101	C₂×#88147	C₂²	1	2	yes	complemented
102	C₂×#88146	C₂²	1	2	yes	complemented
103	C₂×#88140	C₂²	1	2	yes	complemented
104	C₂×#88140	C₂²	1	2	yes	complemented
105	C₂×#88139	C₂²	1	2	yes	complemented
106	C₂×#88139	C₂²	1	2	yes	complemented
107	C₂×#88138	C₂²	1	2	yes	complemented
108	C₂×#88137	C₂²	1	2	yes	complemented
109	C₂×#88136	C₂²	1	2	yes	—
110	C₂×#88136	C₂²	1	2	yes	—
111	C₂×#88136	C₂²	1	2	yes	complemented
112	C₂×#88136	C₂²	1	2	yes	complemented
113	C₂×#88135	C₂²	1	2	yes	complemented
114	C₂×#88135	C₂²	1	2	yes	complemented
115	C₂×#88135	C₂²	1	2	yes	complemented
116	C₂×C₂²⋊C₄×D₁₃	C₂²	1	2	yes	—
117	C₂×C₂²⋊C₄×D₁₃	C₂²	1	2	yes	complemented
118	C₂×C₂²⋊C₄×D₁₃	C₂²	1	2	yes	complemented
119	C₂×C₂²⋊C₄×D₁₃	C₂²	1	2	yes	complemented
120	C₂×#88132	C₂²	1	2	yes	complemented
121	C₂×#88132	C₂²	1	2	yes	complemented
122	C₂×#88131	C₂²	1	2	yes	complemented
123	C₂×#88130	C₂²	1	2	yes	complemented
124	C₂×#88129	C₂²	1	2	yes	complemented
125	C₂×C₄×D₅₂	C₂²	1	2	yes	complemented
126	C₂×#88126	C₂²	1	2	yes	complemented
127	C₂⁵×C₁₃	C₂³	1	1	yes	characteristic
128	C₂⁴×D₁₃	—	2	8	no	—
129	C₂⁴×D₁₃	—	4	4	no	—
130	C₂⁴×D₁₃	—	4	4	no	—
131	C₂⁴×D₁₃	C₂³	1	2	yes	—
132	C₂⁴×D₁₃	C₂³	1	2	yes	—
133	C₂⁴×D₁₃	C₂³	1	2	yes	—
134	C₂⁴×D₁₃	C₂³	1	1	yes	characteristic
135	C₂⁴×D₁₃	C₂³	1	8	yes	—
136	C₂⁴×D₁₃	C₂³	1	1	yes	characteristic
137	C₂×C₁₃×#41	—	4	4	no	—
138	C₂×C₁₃×#41	C₂³	1	8	yes	complemented
139	C₂²×Q₈×C₁₃	C₂³	1	1	yes	characteristic, complemented
140	C₂²×D₄×C₁₃	C₂³	1	2	yes	—
141	C₂²×D₄×C₁₃	C₂³	1	2	yes	—
142	C₂²×D₄×C₁₃	C₂³	1	2	yes	—
143	C₂²×D₄×C₁₃	C₂³	1	1	yes	characteristic, complemented
144	C₂³×C₄×C₁₃	—	4	4	no	—
145	C₂³×C₄×C₁₃	C₂³	1	1	yes	characteristic
146	C₂³×C₄×C₁₃	C₂³	1	1	yes	characteristic
147	C₂³×C₄×C₁₃	C₂³	1	1	yes	characteristic
148	C₂³×C₄×C₁₃	C₂³	1	1	yes	characteristic
149	C₂³×C₄×C₁₃	C₂³	1	1	yes	characteristic
150	C₂³×C₄×C₁₃	C₂³	1	1	yes	characteristic
151	C₂³×C₄×C₁₃	C₂³	1	8	yes	complemented
152	C₂³×C₄×C₁₃	C₂³	1	2	yes	complemented
153	C₂²×C₂²⋊D₁₃	C₂³	1	2	yes	—
154	C₂²×C₂²⋊D₁₃	C₂³	1	2	yes	—
155	C₂²×C₂²⋊D₁₃	C₂³	1	2	yes	—
156	C₂²×C₂²⋊D₁₃	C₂³	1	2	yes	—
157	C₂²×C₂²⋊D₁₃	C₂³	1	2	yes	—
158	C₂²×C₂²⋊D₁₃	C₂³	1	2	yes	—
159	C₂²×C₂²⋊D₁₃	C₂³	1	2	yes	complemented
160	C₂³×Dic₁₃	—	4	4	no	—
161	C₂³×Dic₁₃	C₂³	1	2	yes	—
162	C₂³×Dic₁₃	C₂³	1	1	yes	characteristic
163	C₂³×Dic₁₃	C₂³	1	2	yes	—
164	C₂³×Dic₁₃	C₂³	1	1	yes	characteristic
165	C₂³×Dic₁₃	C₂³	1	8	yes	complemented
166	C₂³×Dic₁₃	C₂³	1	2	yes	complemented
167	C₂×#6129	—	4	8	no	—
168	C₂×#6129	C₂³	1	16	yes	complemented
169	C₂×D₄×D₁₃	—	2	16	no	—
170	C₂×D₄×D₁₃	—	4	8	no	—
171	C₂×D₄×D₁₃	—	4	8	no	—
172	C₂×D₄×D₁₃	C₂³	1	16	yes	—
173	C₂×D₄×D₁₃	C₂³	1	16	yes	complemented
174	C₂×D₄×D₁₃	C₂³	1	16	yes	complemented
175	C₂×#6127	—	4	4	no	—
176	C₂×#6127	C₂³	1	8	yes	complemented
177	C₂²×D₅₂	C₂³	1	2	yes	—
178	C₂²×D₅₂	C₂³	1	2	yes	—
179	C₂²×D₅₂	C₂³	1	2	yes	—
180	C₂²×D₅₂	C₂³	1	1	yes	characteristic, complemented
181	C₂²×C₄×D₁₃	C₂³	1	2	yes	—
182	C₂²×C₄×D₁₃	C₂³	1	2	yes	—
183	C₂²×C₄×D₁₃	C₂³	1	2	yes	—
184	C₂²×C₄×D₁₃	C₂³	1	2	yes	complemented
185	C₂²×C₄×D₁₃	C₂³	1	2	yes	complemented
186	C₂²×Dic₂₆	C₂³	1	2	yes	complemented
187	C₂²×Dic₂₆	C₂³	1	1	yes	characteristic, complemented
188	C₁₃×#123	C₂³	1	16	yes	complemented
189	C₁₃×C₂²⋊Q₈	C₂³	1	8	yes	complemented
190	C₁₃×C₂²⋊Q₈	C₂³	1	8	yes	complemented
191	C₁₃×#121	C₂³	1	8	yes	complemented
192	C₁₃×#121	C₂³	1	8	yes	complemented
193	C₁₃×#120	C₂³	1	16	yes	complemented
194	C₄×D₄×C₁₃	C₂³	1	16	yes	complemented
195	C₄×D₄×C₁₃	C₂³	1	16	yes	complemented
196	C₁₃×#117	C₂³	1	8	yes	complemented
197	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	complemented
198	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic, complemented
199	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic, complemented
200	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	complemented
201	C₂×C₁₃×C₂²⋊C₄	C₂³	1	2	yes	—
202	C₂×C₁₃×C₂²⋊C₄	C₂³	1	2	yes	—
203	C₂×C₁₃×C₂²⋊C₄	C₂³	1	2	yes	—
204	C₂×C₁₃×C₂²⋊C₄	C₂³	1	2	yes	complemented
205	C₂×C₁₃×C₂²⋊C₄	C₂³	1	2	yes	complemented
206	C₂×C₄²×C₁₃	C₂³	1	2	yes	complemented
207	#88207	C₂³	1	16	yes	complemented
208	C₂×C₂²⋊Dic₁₃	C₂³	1	2	yes	—
209	C₂×C₂²⋊Dic₁₃	C₂³	1	2	yes	—
210	C₂×C₂²⋊Dic₁₃	C₂³	1	2	yes	—
211	C₂×C₂²⋊Dic₁₃	C₂³	1	2	yes	complemented
212	C₂×C₂²⋊Dic₁₃	C₂³	1	2	yes	complemented
213	#88201	C₂³	1	16	yes	complemented
214	#88200	C₂³	1	16	yes	complemented
215	#88193	C₂³	1	16	yes	complemented
216	#88193	C₂³	1	16	yes	complemented
217	#88193	C₂³	1	16	yes	complemented
218	#88191	C₂³	1	16	yes	—
219	#88191	C₂³	1	16	yes	—
220	#88191	C₂³	1	16	yes	complemented
221	#88191	C₂³	1	16	yes	complemented
222	#88189	C₂³	1	16	yes	complemented
223	D₄×Dic₁₃	C₂³	1	16	yes	complemented
224	D₄×Dic₁₃	C₂³	1	16	yes	complemented
225	#88184	C₂³	1	16	yes	complemented
226	#88184	C₂³	1	8	yes	complemented
227	#88184	C₂³	1	8	yes	complemented
228	#88183	C₂³	1	16	yes	complemented
229	#88183	C₂³	1	16	yes	complemented
230	C₄×C₂²⋊D₁₃	C₂³	1	16	yes	complemented
231	C₄×C₂²⋊D₁₃	C₂³	1	16	yes	complemented
232	C₄×C₂²⋊D₁₃	C₂³	1	16	yes	complemented
233	C₂×#6103	C₂³	1	2	yes	—
234	C₂×#6103	C₂³	1	2	yes	—
235	C₂×#6103	C₂³	1	2	yes	—
236	C₂×#6103	C₂³	1	2	yes	—
237	C₂×#6103	C₂³	1	2	yes	—
238	C₂×#6103	C₂³	1	2	yes	—
239	C₂×#6103	C₂³	1	2	yes	—
240	C₂×#6103	C₂³	1	2	yes	—
241	C₂×#6103	C₂³	1	2	yes	—
242	C₂×#6103	C₂³	1	2	yes	—
243	C₂×#6103	C₂³	1	2	yes	—
244	C₂×#6103	C₂³	1	2	yes	—
245	C₂×#6103	C₂³	1	2	yes	—
246	C₂×#6103	C₂³	1	2	yes	—
247	C₂×#6103	C₂³	1	8	yes	—
248	C₂×#6103	C₂³	1	8	yes	—
249	C₂×#6103	C₂³	1	16	yes	complemented
250	C₂×#6103	C₂³	1	16	yes	complemented
251	C₂×#6103	C₂³	1	8	yes	complemented
252	C₂×#6103	C₂³	1	16	yes	complemented
253	C₂×#6103	C₂³	1	8	yes	complemented
254	C₂×#6103	C₂³	1	16	yes	complemented
255	C₂×#6103	C₂³	1	16	yes	complemented
256	C₂×#6103	C₂³	1	2	yes	complemented
257	C₂×#6103	C₂³	1	2	yes	complemented
258	C₂×#6103	C₂³	1	2	yes	complemented
259	C₂×#6103	C₂³	1	2	yes	complemented
260	#88180	C₂³	1	8	yes	complemented
261	C₂×C₄⋊Dic₁₃	C₂³	1	2	yes	complemented
262	C₂×C₄⋊Dic₁₃	C₂³	1	2	yes	complemented
263	C₂×C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic, complemented
264	C₂×C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic, complemented
265	#88178	C₂³	1	8	yes	complemented
266	#88178	C₂³	1	8	yes	complemented
267	C₂×#6101	C₂³	1	2	yes	complemented
268	C₂×#6101	C₂³	1	2	yes	complemented
269	C₂×#6101	C₂³	1	2	yes	complemented
270	C₂×#6101	C₂³	1	2	yes	complemented
271	C₂×#6101	C₂³	1	2	yes	complemented
272	C₂×#6101	C₂³	1	2	yes	complemented
273	C₂×C₄×Dic₁₃	C₂³	1	2	yes	complemented
274	C₂×C₄×Dic₁₃	C₂³	1	2	yes	complemented
275	C₂×C₄×Dic₁₃	C₂³	1	2	yes	complemented
276	#88152	C₂³	1	16	yes	complemented
277	#88152	C₂³	1	16	yes	complemented
278	#88152	C₂³	1	16	yes	complemented
279	#88151	C₂³	1	16	yes	complemented
280	#88150	C₂³	1	16	yes	complemented
281	#88150	C₂³	1	16	yes	complemented
282	#88149	C₂³	1	16	yes	complemented
283	#88148	C₂³	1	16	yes	complemented
284	#88148	C₂³	1	16	yes	complemented
285	#88148	C₂³	1	16	yes	complemented
286	#88147	C₂³	1	16	yes	complemented
287	#88146	C₂³	1	16	yes	complemented
288	#88140	C₂³	1	16	yes	complemented
289	#88140	C₂³	1	16	yes	complemented
290	#88139	C₂³	1	16	yes	complemented
291	#88139	C₂³	1	16	yes	complemented
292	#88138	C₂³	1	16	yes	complemented
293	#88137	C₂³	1	16	yes	complemented
294	#88136	C₂³	1	16	yes	—
295	#88136	C₂³	1	16	yes	—
296	#88136	C₂³	1	16	yes	complemented
297	#88136	C₂³	1	16	yes	complemented
298	#88135	C₂³	1	16	yes	complemented
299	#88135	C₂³	1	16	yes	complemented
300	#88135	C₂³	1	16	yes	complemented
301	C₂²⋊C₄×D₁₃	C₂³	1	16	yes	—
302	C₂²⋊C₄×D₁₃	C₂³	1	16	yes	complemented
303	C₂²⋊C₄×D₁₃	C₂³	1	16	yes	complemented
304	C₂²⋊C₄×D₁₃	C₂³	1	16	yes	complemented
305	#88132	C₂³	1	16	yes	complemented
306	#88132	C₂³	1	16	yes	complemented
307	#88131	C₂³	1	16	yes	complemented
308	#88130	C₂³	1	16	yes	complemented
309	#88129	C₂³	1	16	yes	complemented
310	C₄×D₅₂	C₂³	1	16	yes	complemented
311	#88126	C₂³	1	16	yes	complemented
312	C₂×#3490	—	13	1	no	maximal, Sylow
313	C₂⁴×C₁₃	—	2	4	no	—
314	C₂⁴×C₁₃	—	2	4	no	—
315	C₂⁴×C₁₃	—	2	4	no	—
316	C₂⁴×C₁₃	C₂⁴	1	2	yes	—
317	C₂⁴×C₁₃	C₂⁴	1	4	yes	—
318	C₂⁴×C₁₃	C₂⁴	1	1	yes	characteristic
319	C₂⁴×C₁₃	C₂⁴	1	1	yes	characteristic
320	C₂⁴×C₁₃	C₂⁴	1	1	yes	characteristic
321	C₂³×D₁₃	—	2	4	no	—
322	C₂³×D₁₃	—	2	8	no	—
323	C₂³×D₁₃	—	2	8	no	—
324	C₂³×D₁₃	—	2	8	no	—
325	C₂³×D₁₃	—	2	8	no	—
326	C₂³×D₁₃	—	2	32	no	—
327	C₂³×D₁₃	—	2	8	no	—
328	C₂³×D₁₃	—	4	2	no	—
329	C₂³×D₁₃	—	4	2	no	—
330	C₂³×D₁₃	—	4	4	no	—
331	C₂³×D₁₃	—	4	4	no	—
332	C₂³×D₁₃	—	4	2	no	—
333	C₂³×D₁₃	—	4	2	no	—
334	C₂³×D₁₃	—	4	16	no	—
335	C₂³×D₁₃	—	4	16	no	—
336	C₂³×D₁₃	—	4	4	no	—
337	C₂³×D₁₃	—	4	4	no	—
338	C₂³×D₁₃	—	4	64	no	—
339	C₂³×D₁₃	#41	1	8	yes	complemented
340	C₂³×D₁₃	C₂⁴	1	2	yes	—
341	C₂³×D₁₃	C₂⁴	1	2	yes	—
342	C₂³×D₁₃	C₂⁴	1	8	yes	—
343	C₂³×D₁₃	C₂⁴	1	8	yes	—
344	C₂³×D₁₃	C₂⁴	1	2	yes	—
345	C₂³×D₁₃	C₂⁴	1	8	yes	—
346	C₂³×D₁₃	C₂⁴	1	4	yes	—
347	C₂³×D₁₃	C₂⁴	1	4	yes	—
348	C₁₃×#41	—	4	16	no	—
349	C₂×Q₈×C₁₃	—	4	2	no	—
350	C₂×Q₈×C₁₃	C₂⁴	1	4	yes	complemented
351	C₂×D₄×C₁₃	—	2	8	no	—
352	C₂×D₄×C₁₃	—	2	8	no	—
353	C₂×D₄×C₁₃	—	2	8	no	—
354	C₂×D₄×C₁₃	—	4	2	no	—
355	C₂×D₄×C₁₃	C₂⁴	1	8	yes	—
356	C₂×D₄×C₁₃	C₂⁴	1	8	yes	—
357	C₂×D₄×C₁₃	C₂⁴	1	8	yes	—
358	C₂×D₄×C₁₃	C₂⁴	1	4	yes	complemented
359	C₂²×C₄×C₁₃	—	2	4	no	—
360	C₂²×C₄×C₁₃	—	2	4	no	—
361	C₂²×C₄×C₁₃	—	4	2	no	—
362	C₂²×C₄×C₁₃	—	4	2	no	—
363	C₂²×C₄×C₁₃	—	4	2	no	—
364	C₂²×C₄×C₁₃	—	4	2	no	—
365	C₂²×C₄×C₁₃	—	4	16	no	—
366	C₂²×C₄×C₁₃	—	4	4	no	—
367	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
368	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
369	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
370	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
371	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
372	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
373	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
374	C₂²×C₄×C₁₃	C₂⁴	1	4	yes	—
375	C₂²×C₄×C₁₃	C₂⁴	1	4	yes	—
376	C₂²×C₄×C₁₃	C₂⁴	1	4	yes	—
377	C₂²×C₄×C₁₃	C₂⁴	1	4	yes	—
378	C₂²×C₄×C₁₃	C₂⁴	1	4	yes	—
379	C₂²×C₄×C₁₃	C₂⁴	1	4	yes	—
380	C₂²×C₄×C₁₃	C₂⁴	1	8	yes	complemented
381	C₂×C₂²⋊D₁₃	—	2	8	no	—
382	C₂×C₂²⋊D₁₃	—	2	8	no	—
383	C₂×C₂²⋊D₁₃	—	2	8	no	—
384	C₂×C₂²⋊D₁₃	—	2	8	no	—
385	C₂×C₂²⋊D₁₃	—	4	4	no	—
386	C₂×C₂²⋊D₁₃	—	4	4	no	—
387	C₂×C₂²⋊D₁₃	—	4	4	no	—
388	C₂×C₂²⋊D₁₃	C₂⁴	1	8	yes	—
389	C₂×C₂²⋊D₁₃	C₂⁴	1	8	yes	—
390	C₂×C₂²⋊D₁₃	C₂⁴	1	8	yes	—
391	C₂×C₂²⋊D₁₃	C₂⁴	1	8	yes	—
392	C₂×C₂²⋊D₁₃	C₂⁴	1	8	yes	—
393	C₂×C₂²⋊D₁₃	C₂⁴	1	8	yes	—
394	C₂×C₂²⋊D₁₃	C₂⁴	1	8	yes	complemented
395	C₂²×Dic₁₃	—	2	8	no	—
396	C₂²×Dic₁₃	—	4	4	no	—
397	C₂²×Dic₁₃	—	4	2	no	—
398	C₂²×Dic₁₃	—	4	4	no	—
399	C₂²×Dic₁₃	—	4	2	no	—
400	C₂²×Dic₁₃	—	4	16	no	—
401	C₂²×Dic₁₃	C₂⁴	1	8	yes	—
402	C₂²×Dic₁₃	C₂⁴	1	2	yes	—
403	C₂²×Dic₁₃	C₂⁴	1	2	yes	—
404	C₂²×Dic₁₃	C₂⁴	1	2	yes	—
405	C₂²×Dic₁₃	C₂⁴	1	2	yes	—
406	C₂²×Dic₁₃	C₂⁴	1	2	yes	—
407	C₂²×Dic₁₃	C₂⁴	1	4	yes	—
408	C₂²×Dic₁₃	C₂⁴	1	8	yes	—
409	C₂²×Dic₁₃	C₂⁴	1	4	yes	—
410	C₂²×Dic₁₃	C₂⁴	1	8	yes	complemented
411	#6129	—	4	32	no	—
412	D₄×D₁₃	—	2	64	no	—
413	D₄×D₁₃	—	4	32	no	—
414	D₄×D₁₃	—	4	32	no	—
415	#6127	—	4	16	no	—
416	C₂×D₅₂	—	2	8	no	—
417	C₂×D₅₂	—	4	4	no	—
418	C₂×D₅₂	—	4	4	no	—
419	C₂×D₅₂	—	4	2	no	—
420	C₂×D₅₂	C₂⁴	1	8	yes	—
421	C₂×D₅₂	C₂⁴	1	8	yes	—
422	C₂×D₅₂	C₂⁴	1	8	yes	—
423	C₂×D₅₂	C₂⁴	1	4	yes	complemented
424	C₂×C₄×D₁₃	—	2	8	no	—
425	C₂×C₄×D₁₃	—	4	4	no	—
426	C₂×C₄×D₁₃	—	4	4	no	—
427	C₂×C₄×D₁₃	—	4	4	no	—
428	C₂×C₄×D₁₃	—	4	4	no	—
429	C₂×C₄×D₁₃	C₂⁴	1	8	yes	—
430	C₂×C₄×D₁₃	C₂⁴	1	8	yes	—
431	C₂×C₄×D₁₃	C₂⁴	1	8	yes	—
432	C₂×C₄×D₁₃	C₂⁴	1	8	yes	complemented
433	C₂×C₄×D₁₃	C₂⁴	1	8	yes	complemented
434	C₂×Dic₂₆	—	4	2	no	—
435	C₂×Dic₂₆	—	4	4	no	—
436	C₂×Dic₂₆	C₂⁴	1	8	yes	complemented
437	C₂×Dic₂₆	C₂⁴	1	4	yes	complemented
438	C₁₃×C₄⋊C₄	C₂⁴	1	8	yes	complemented
439	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	complemented
440	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	complemented
441	C₁₃×C₄⋊C₄	C₂⁴	1	8	yes	complemented
442	C₁₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
443	C₁₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
444	C₁₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
445	C₁₃×C₂²⋊C₄	C₂⁴	1	8	yes	complemented
446	C₁₃×C₂²⋊C₄	C₂⁴	1	8	yes	complemented
447	C₄²×C₁₃	C₂⁴	1	8	yes	complemented
448	C₂²⋊Dic₁₃	C₂⁴	1	8	yes	—
449	C₂²⋊Dic₁₃	C₂⁴	1	8	yes	—
450	C₂²⋊Dic₁₃	C₂⁴	1	8	yes	—
451	C₂²⋊Dic₁₃	C₂⁴	1	8	yes	complemented
452	C₂²⋊Dic₁₃	C₂⁴	1	8	yes	complemented
453	#6103	C₂⁴	1	8	yes	—
454	#6103	C₂⁴	1	8	yes	—
455	#6103	C₂⁴	1	8	yes	—
456	#6103	C₂⁴	1	8	yes	—
457	#6103	C₂⁴	1	8	yes	—
458	#6103	C₂⁴	1	8	yes	—
459	#6103	C₂⁴	1	8	yes	—
460	#6103	C₂⁴	1	8	yes	—
461	#6103	C₂⁴	1	8	yes	—
462	#6103	C₂⁴	1	8	yes	—
463	#6103	C₂⁴	1	8	yes	—
464	#6103	C₂⁴	1	8	yes	—
465	#6103	C₂⁴	1	8	yes	—
466	#6103	C₂⁴	1	8	yes	—
467	#6103	C₂⁴	1	8	yes	complemented
468	#6103	C₂⁴	1	8	yes	complemented
469	#6103	C₂⁴	1	8	yes	complemented
470	#6103	C₂⁴	1	8	yes	complemented
471	C₄⋊Dic₁₃	C₂⁴	1	8	yes	complemented
472	C₄⋊Dic₁₃	C₂⁴	1	8	yes	complemented
473	C₄⋊Dic₁₃	C₂⁴	1	4	yes	complemented
474	C₄⋊Dic₁₃	C₂⁴	1	4	yes	complemented
475	#6101	C₂⁴	1	8	yes	complemented
476	#6101	C₂⁴	1	8	yes	complemented
477	#6101	C₂⁴	1	8	yes	complemented
478	#6101	C₂⁴	1	8	yes	complemented
479	#6101	C₂⁴	1	8	yes	complemented
480	#6101	C₂⁴	1	8	yes	complemented
481	C₄×Dic₁₃	C₂⁴	1	8	yes	complemented
482	C₄×Dic₁₃	C₂⁴	1	8	yes	complemented
483	C₄×Dic₁₃	C₂⁴	1	8	yes	complemented
484	#3490	—	13	32	no	—
485	C₂×#551	—	13	2	no	—
486	C₂×#551	—	13	2	no	—
487	C₂×#551	—	13	2	no	—
488	C₂×#551	—	13	2	no	—
489	C₂×#546	—	13	2	no	—
490	C₂×#546	—	13	2	no	—
491	C₂×#546	—	13	2	no	—
492	C₂×#546	—	13	2	no	—
493	C₂×#543	—	13	1	no	—
494	C₂×#538	—	13	1	no	—
495	C₂×#538	—	13	1	no	—
496	C₂×#538	—	13	2	no	—
497	C₂×#534	—	13	1	no	—
498	C₂×#525	—	13	1	no	—
499	C₂×#525	—	13	2	no	—
500	C₂×#525	D₁₃	1	1	yes	characteristic, complemented
501	C₂²×#120	—	13	2	no	—
502	C₂×#518	—	13	2	no	—
503	C₂³×C₂²⋊C₄	—	13	1	no	—
504	C₂³×C₁₃	—	2	32	no	—
505	C₂³×C₁₃	—	2	8	no	—
506	C₂³×C₁₃	—	2	2	no	—
507	C₂³×C₁₃	—	2	2	no	—
508	C₂³×C₁₃	—	2	8	no	—
509	C₂³×C₁₃	—	2	2	no	—
510	C₂³×C₁₃	—	2	2	no	—
511	C₂³×C₁₃	—	2	8	no	—
512	C₂³×C₁₃	—	2	2	no	—
513	C₂³×C₁₃	—	2	2	no	—
514	C₂³×C₁₃	—	2	4	no	—
515	C₂³×C₁₃	—	2	4	no	—
516	C₂³×C₁₃	—	2	4	no	—
517	C₂³×C₁₃	C₂×#41	1	4	yes	—
518	C₂³×C₁₃	H(5,𝔽₂)	1	4	yes	—
519	C₂³×C₁₃	H(5,𝔽₂)	1	4	yes	—
520	C₂³×C₁₃	C₂⁵	1	4	yes	—
521	C₂³×C₁₃	C₂⁵	1	2	yes	—
522	C₂³×C₁₃	C₂⁵	1	2	yes	—
523	C₂³×C₁₃	C₂⁵	1	2	yes	—
524	C₂³×C₁₃	C₂⁵	1	1	yes	characteristic
525	C₂²×D₁₃	—	2	4	no	—
526	C₂²×D₁₃	—	2	4	no	—
527	C₂²×D₁₃	—	2	4	no	—
528	C₂²×D₁₃	—	2	8	no	—
529	C₂²×D₁₃	—	2	4	no	—
530	C₂²×D₁₃	—	2	4	no	—
531	C₂²×D₁₃	—	2	4	no	—
532	C₂²×D₁₃	—	2	4	no	—
533	C₂²×D₁₃	—	2	4	no	—
534	C₂²×D₁₃	—	2	16	no	—
535	C₂²×D₁₃	—	2	16	no	—
536	C₂²×D₁₃	—	2	16	no	—
537	C₂²×D₁₃	—	2	16	no	—
538	C₂²×D₁₃	—	2	16	no	—
539	C₂²×D₁₃	—	4	16	no	—
540	C₂²×D₁₃	—	4	4	no	—
541	C₂²×D₁₃	—	4	4	no	—
542	C₂²×D₁₃	—	4	8	no	—
543	C₂²×D₁₃	—	4	8	no	—
544	C₂²×D₁₃	—	4	4	no	—
545	C₂²×D₁₃	—	4	4	no	—
546	C₂²×D₁₃	—	4	8	no	—
547	C₂²×D₁₃	—	4	8	no	—
548	C₂²×D₁₃	—	4	32	no	—
549	C₂²×D₁₃	—	4	32	no	—
550	C₂²×D₁₃	—	4	128	no	—
551	C₂²×D₁₃	—	4	16	no	—
552	C₂²×D₁₃	—	8	16	no	—
553	C₂²×D₁₃	C₂×#41	1	8	yes	—
554	C₂²×D₁₃	C₂×#41	1	16	yes	complemented
555	C₂²×D₁₃	C₂⁵	1	4	yes	—
556	C₂²×D₁₃	C₂⁵	1	4	yes	—
557	C₂²×D₁₃	C₂⁵	1	4	yes	—
558	Q₈×C₁₃	—	4	4	no	—
559	D₄×C₁₃	—	2	16	no	—
560	D₄×C₁₃	—	2	16	no	—
561	D₄×C₁₃	—	2	16	no	—
562	D₄×C₁₃	—	4	4	no	—
563	C₂×C₄×C₁₃	—	2	4	no	—
564	C₂×C₄×C₁₃	—	2	4	no	—
565	C₂×C₄×C₁₃	—	2	2	no	—
566	C₂×C₄×C₁₃	—	2	2	no	—
567	C₂×C₄×C₁₃	—	2	4	no	—
568	C₂×C₄×C₁₃	—	2	8	no	—
569	C₂×C₄×C₁₃	—	2	2	no	—
570	C₂×C₄×C₁₃	—	2	2	no	—
571	C₂×C₄×C₁₃	—	2	8	no	—
572	C₂×C₄×C₁₃	—	4	4	no	—
573	C₂×C₄×C₁₃	—	4	4	no	—
574	C₂×C₄×C₁₃	—	4	4	no	—
575	C₂×C₄×C₁₃	—	4	4	no	—
576	C₂×C₄×C₁₃	—	4	8	no	—
577	C₂×C₄×C₁₃	C₂⁵	1	2	yes	—
578	C₂×C₄×C₁₃	C₂⁵	1	4	yes	—
579	C₂×C₄×C₁₃	C₂⁵	1	4	yes	—
580	C₂×C₄×C₁₃	C₂⁵	1	2	yes	—
581	C₂×C₄×C₁₃	C₂⁵	1	2	yes	—
582	C₂×C₄×C₁₃	C₂⁵	1	4	yes	—
583	C₂×C₄×C₁₃	C₂⁵	1	2	yes	—
584	C₂²⋊D₁₃	—	2	16	no	—
585	C₂²⋊D₁₃	—	2	16	no	—
586	C₂²⋊D₁₃	—	2	16	no	—
587	C₂²⋊D₁₃	—	2	16	no	—
588	C₂²⋊D₁₃	—	4	8	no	—
589	C₂²⋊D₁₃	—	4	8	no	—
590	C₂²⋊D₁₃	—	4	8	no	—
591	C₂×Dic₁₃	—	2	4	no	—
592	C₂×Dic₁₃	—	2	4	no	—
593	C₂×Dic₁₃	—	2	4	no	—
594	C₂×Dic₁₃	—	2	4	no	—
595	C₂×Dic₁₃	—	2	4	no	—
596	C₂×Dic₁₃	—	2	16	no	—
597	C₂×Dic₁₃	—	4	8	no	—
598	C₂×Dic₁₃	—	4	4	no	—
599	C₂×Dic₁₃	—	4	8	no	—
600	C₂×Dic₁₃	—	4	4	no	—
601	C₂×Dic₁₃	C₂⁵	1	4	yes	—
602	C₂×Dic₁₃	C₂⁵	1	4	yes	—
603	C₂×Dic₁₃	C₂⁵	1	4	yes	—
604	C₂×Dic₁₃	C₂⁵	1	4	yes	—
605	C₂×Dic₁₃	C₂⁵	1	4	yes	—
606	D₅₂	—	2	16	no	—
607	D₅₂	—	4	8	no	—
608	D₅₂	—	4	8	no	—
609	D₅₂	—	4	4	no	—
610	C₄×D₁₃	—	2	16	no	—
611	C₄×D₁₃	—	4	8	no	—
612	C₄×D₁₃	—	4	8	no	—
613	C₄×D₁₃	—	4	8	no	—
614	C₄×D₁₃	—	4	8	no	—
615	Dic₂₆	—	4	4	no	—
616	Dic₂₆	—	4	8	no	—
617	C₂⁶	—	13	1	no	—
618	C₂²×#41	—	13	2	no	—
619	C₂²×#41	—	13	1	no	—
620	C₂²×#41	C₂×D₁₃	1	1	yes	characteristic, complemented
621	C₂³×D₄	—	13	2	no	—
622	C₂³×D₄	—	13	2	no	—
623	C₂³×D₄	—	13	2	no	—
624	C₂⁴×C₄	—	13	1	no	—
625	C₂⁴×C₄	C₂×D₁₃	1	1	yes	characteristic, complemented
626	#551	—	13	32	no	—
627	#551	—	13	32	no	—
628	#551	—	13	32	no	—
629	#551	—	13	32	no	—
630	#546	—	13	32	no	—
631	#546	—	13	32	no	—
632	#546	—	13	32	no	—
633	#546	—	13	32	no	—
634	#543	—	13	16	no	—
635	#538	—	13	16	no	—
636	#538	—	13	16	no	—
637	#538	—	13	32	no	—
638	#534	—	13	16	no	—
639	C₂×#126	—	13	2	no	—
640	C₂×#126	—	13	2	no	—
641	C₂×#126	—	13	2	no	—
642	C₂×#126	—	13	2	no	—
643	C₂×#124	—	13	2	no	—
644	C₂×#124	—	13	2	no	—
645	C₂×#124	—	13	2	no	—
646	C₂×#124	—	13	2	no	—
647	#525	—	13	16	no	—
648	#525	—	13	32	no	—
649	#525	C₂×D₁₃	1	16	yes	complemented
650	C₂×#123	—	13	2	no	—
651	C₂×#123	—	13	2	no	—
652	C₂×#123	—	13	2	no	—
653	C₂×#123	—	13	2	no	—
654	C₂×#123	—	13	2	no	—
655	C₂×#123	—	13	2	no	—
656	C₂×#123	—	13	2	no	—
657	C₂×#123	—	13	2	no	—
658	C₂×#123	—	13	2	no	—
659	C₂×#123	C₂×D₁₃	1	2	yes	complemented
660	C₂×C₂²⋊Q₈	—	13	2	no	—
661	C₂×C₂²⋊Q₈	—	13	1	no	—
662	C₂×C₂²⋊Q₈	—	13	1	no	—
663	C₂×C₂²⋊Q₈	—	13	2	no	—
664	C₂×C₂²⋊Q₈	—	13	2	no	—
665	C₂×C₂²⋊Q₈	—	13	2	no	—
666	C₂×C₂²⋊Q₈	—	13	2	no	—
667	C₂×C₂²⋊Q₈	—	13	2	no	—
668	C₂×C₂²⋊Q₈	C₂×D₁₃	1	1	yes	characteristic, complemented
669	C₂×C₂²⋊Q₈	C₂×D₁₃	1	1	yes	characteristic, complemented
670	C₂×#121	—	13	2	no	—
671	C₂×#121	—	13	2	no	—
672	C₂×#121	—	13	2	no	—
673	C₂×#121	—	13	1	no	—
674	C₂×#121	—	13	1	no	—
675	C₂×#121	—	13	2	no	—
676	C₂×#121	—	13	2	no	—
677	C₂×#121	—	13	2	no	—
678	C₂×#121	C₂×D₁₃	1	1	yes	characteristic, complemented
679	C₂×#121	C₂×D₁₃	1	1	yes	characteristic, complemented
680	C₂×#120	—	13	2	no	—
681	C₂×#120	—	13	2	no	—
682	C₂×#120	—	13	2	no	—
683	C₂×#120	—	13	2	no	—
684	C₂×#120	—	13	2	no	—
685	C₂×#120	—	13	32	no	—
686	C₂×#120	—	13	2	no	—
687	C₂×#120	—	13	2	no	—
688	C₂×#120	—	13	2	no	—
689	C₂×#120	—	13	2	no	—
690	C₂×#120	C₂×D₁₃	1	2	yes	complemented
691	#518	—	13	32	no	—
692	C₂×C₄×D₄	—	13	2	no	—
693	C₂×C₄×D₄	—	13	2	no	—
694	C₂×C₄×D₄	—	13	2	no	—
695	C₂×C₄×D₄	—	13	2	no	—
696	C₂×C₄×D₄	—	13	2	no	—
697	C₂×C₄×D₄	—	13	2	no	—
698	C₂×C₄×D₄	—	13	2	no	—
699	C₂×C₄×D₄	—	13	2	no	—
700	C₂×C₄×D₄	—	13	2	no	—
701	C₂×C₄×D₄	—	13	2	no	—
702	C₂×C₄×D₄	C₂×D₁₃	1	2	yes	complemented
703	C₂×C₄×D₄	C₂×D₁₃	1	2	yes	complemented
704	C₂×#117	—	13	1	no	—
705	C₂×#117	—	13	2	no	—
706	C₂×#117	—	13	2	no	—
707	C₂×#117	—	13	2	no	—
708	C₂×#117	C₂×D₁₃	1	1	yes	characteristic, complemented
709	C₂²×C₂²⋊C₄	—	13	1	no	—
710	C₂²×C₂²⋊C₄	—	13	1	no	—
711	C₂²×C₂²⋊C₄	—	13	1	no	—
712	C₂²×C₂²⋊C₄	—	13	1	no	—
713	C₂²×C₂²⋊C₄	—	13	2	no	—
714	C₂²×C₂²⋊C₄	—	13	2	no	—
715	C₂²×C₂²⋊C₄	—	13	2	no	—
716	C₂²×C₂²⋊C₄	—	13	2	no	—
717	C₂²×C₂²⋊C₄	—	13	16	no	—
718	C₂²×C₂²⋊C₄	—	13	2	no	—
719	C₂²×C₂²⋊C₄	—	13	2	no	—
720	C₂²×C₂²⋊C₄	—	13	2	no	—
721	C₂²×C₂²⋊C₄	—	13	2	no	—
722	C₂²×C₂²⋊C₄	—	13	2	no	—
723	C₂²×C₁₃	—	2	32	no	—
724	C₂²×C₁₃	—	2	2	no	—
725	C₂²×C₁₃	—	2	2	no	—
726	C₂²×C₁₃	—	2	2	no	—
727	C₂²×C₁₃	—	2	2	no	—
728	C₂²×C₁₃	—	2	2	no	—
729	C₂²×C₁₃	—	2	2	no	—
730	C₂²×C₁₃	—	2	8	no	—
731	C₂²×C₁₃	—	2	8	no	—
732	C₂²×C₁₃	—	2	8	no	—
733	C₂²×C₁₃	—	2	4	no	—
734	C₂²×C₁₃	—	2	4	no	—
735	C₂²×C₁₃	—	2	4	no	—
736	C₂²×C₁₃	—	4	8	no	—
737	C₂²×C₁₃	C₂²×#41	1	4	yes	—
738	C₂²×C₁₃	C₂²×#41	1	2	yes	—
739	C₂²×C₁₃	C₂×H(5,𝔽₂)	1	4	yes	—
740	C₂²×C₁₃	C₂×H(5,𝔽₂)	1	2	yes	—
741	C₂²×C₁₃	C₂×H(5,𝔽₂)	1	4	yes	—
742	C₂²×C₁₃	C₂×H(5,𝔽₂)	1	2	yes	—
743	C₂²×C₁₃	C₂⁶	1	1	yes	characteristic
744	C₂×D₁₃	—	2	4	no	—
745	C₂×D₁₃	—	2	4	no	—
746	C₂×D₁₃	—	2	16	no	—
747	C₂×D₁₃	—	2	4	no	—
748	C₂×D₁₃	—	2	4	no	—
749	C₂×D₁₃	—	2	4	no	—
750	C₂×D₁₃	—	2	4	no	—
751	C₂×D₁₃	—	2	4	no	—
752	C₂×D₁₃	—	2	4	no	—
753	C₂×D₁₃	—	4	16	no	—
754	C₂×D₁₃	—	4	32	no	—
755	C₂×D₁₃	—	4	32	no	—
756	C₂×D₁₃	—	4	16	no	—
757	C₂×D₁₃	—	4	8	no	—
758	C₂×D₁₃	—	4	8	no	—
759	C₂×D₁₃	—	8	16	no	—
760	C₂×D₁₃	C₂²×#41	1	8	yes	—
761	C₄×C₁₃	—	2	4	no	—
762	C₄×C₁₃	—	2	4	no	—
763	C₄×C₁₃	—	2	2	no	—
764	C₄×C₁₃	—	2	2	no	—
765	C₄×C₁₃	—	2	4	no	—
766	C₄×C₁₃	—	2	2	no	—
767	C₄×C₁₃	—	2	2	no	—
768	Dic₁₃	—	2	4	no	—
769	Dic₁₃	—	2	4	no	—
770	Dic₁₃	—	2	4	no	—
771	Dic₁₃	—	2	4	no	—
772	Dic₁₃	—	2	4	no	—
773	C₂⁵	—	13	1	no	—
774	C₂⁵	—	13	2	no	—
775	C₂⁵	—	13	2	no	—
776	C₂⁵	—	13	8	no	—
777	C₂⁵	—	13	1	no	—
778	C₂⁵	—	13	2	no	—
779	C₂⁵	—	26	8	no	—
780	C₂⁵	—	52	4	no	—
781	C₂⁵	—	52	4	no	—
782	C₂⁵	C₂²×D₁₃	1	1	yes	characteristic
783	C₂×#41	—	4	4	no	—
784	C₂×#41	—	13	16	no	—
785	C₂×#41	—	13	8	no	—
786	C₂×#41	—	52	4	no	—
787	C₂×#41	—	52	8	no	—
788	C₂×#41	C₂²×D₁₃	1	8	yes	complemented
789	C₂²×Q₈	—	13	1	no	—
790	C₂²×Q₈	—	13	2	no	—
791	C₂²×Q₈	C₂²×D₁₃	1	1	yes	characteristic, complemented
792	C₂²×D₄	—	13	2	no	—
793	C₂²×D₄	—	13	2	no	—
794	C₂²×D₄	—	13	2	no	—
795	C₂²×D₄	—	13	2	no	—
796	C₂²×D₄	—	13	2	no	—
797	C₂²×D₄	—	13	2	no	—
798	C₂²×D₄	—	13	2	no	—
799	C₂²×D₄	—	13	16	no	—
800	C₂²×D₄	—	13	16	no	—
801	C₂²×D₄	—	13	16	no	—
802	C₂²×D₄	—	13	2	no	—
803	C₂²×D₄	—	13	1	no	—
804	C₂²×D₄	—	13	2	no	—
805	C₂²×D₄	—	13	2	no	—
806	C₂²×D₄	—	26	16	no	—
807	C₂²×D₄	—	52	8	no	—
808	C₂²×D₄	—	52	8	no	—
809	C₂²×D₄	C₂²×D₁₃	1	2	yes	—
810	C₂²×D₄	C₂²×D₁₃	1	2	yes	—
811	C₂²×D₄	C₂²×D₁₃	1	2	yes	—
812	C₂²×D₄	C₂²×D₁₃	1	1	yes	characteristic, complemented
813	C₂³×C₄	—	4	4	no	—
814	C₂³×C₄	—	13	2	no	—
815	C₂³×C₄	—	13	1	no	—
816	C₂³×C₄	—	13	2	no	—
817	C₂³×C₄	—	13	1	no	—
818	C₂³×C₄	—	13	8	no	—
819	C₂³×C₄	—	13	2	no	—
820	C₂³×C₄	—	13	2	no	—
821	C₂³×C₄	—	13	2	no	—
822	C₂³×C₄	—	13	2	no	—
823	C₂³×C₄	—	13	2	no	—
824	C₂³×C₄	—	13	2	no	—
825	C₂³×C₄	—	52	4	no	—
826	C₂³×C₄	C₂²×D₁₃	1	1	yes	characteristic
827	C₂³×C₄	C₂²×D₁₃	1	1	yes	characteristic
828	C₂³×C₄	C₂²×D₁₃	1	1	yes	characteristic
829	C₂³×C₄	C₂²×D₁₃	1	1	yes	characteristic
830	C₂³×C₄	C₂²×D₁₃	1	1	yes	characteristic
831	C₂³×C₄	C₂²×D₁₃	1	1	yes	characteristic
832	C₂³×C₄	C₂²×D₁₃	1	8	yes	complemented
833	C₂³×C₄	C₂²×D₁₃	1	2	yes	complemented
834	#126	—	13	16	no	—
835	#126	—	13	16	no	—
836	#126	—	13	16	no	—
837	#126	—	13	16	no	—
838	#124	—	13	16	no	—
839	#124	—	13	16	no	—
840	#124	—	13	16	no	—
841	#124	—	13	16	no	—
842	#123	—	13	16	no	—
843	#123	—	13	16	no	—
844	#123	—	13	16	no	—
845	#123	—	13	16	no	—
846	#123	—	13	16	no	—
847	#123	—	13	16	no	—
848	#123	—	13	16	no	—
849	#123	—	13	16	no	—
850	#123	—	13	16	no	—
851	#123	C₂²×D₁₃	1	16	yes	complemented
852	C₂²⋊Q₈	—	13	16	no	—
853	C₂²⋊Q₈	—	13	8	no	—
854	C₂²⋊Q₈	—	13	8	no	—
855	C₂²⋊Q₈	—	13	16	no	—
856	C₂²⋊Q₈	—	13	16	no	—
857	C₂²⋊Q₈	—	13	16	no	—
858	C₂²⋊Q₈	—	13	16	no	—
859	C₂²⋊Q₈	—	13	16	no	—
860	C₂²⋊Q₈	C₂²×D₁₃	1	8	yes	complemented
861	C₂²⋊Q₈	C₂²×D₁₃	1	8	yes	complemented
862	#121	—	13	16	no	—
863	#121	—	13	16	no	—
864	#121	—	13	16	no	—
865	#121	—	13	8	no	—
866	#121	—	13	8	no	—
867	#121	—	13	16	no	—
868	#121	—	13	16	no	—
869	#121	—	13	16	no	—
870	#121	C₂²×D₁₃	1	8	yes	complemented
871	#121	C₂²×D₁₃	1	8	yes	complemented
872	#120	—	13	16	no	—
873	#120	—	13	16	no	—
874	#120	—	13	16	no	—
875	#120	—	13	16	no	—
876	#120	—	13	16	no	—
877	#120	—	13	16	no	—
878	#120	—	13	16	no	—
879	#120	—	13	16	no	—
880	#120	—	13	16	no	—
881	#120	C₂²×D₁₃	1	16	yes	complemented
882	C₄×D₄	—	13	16	no	—
883	C₄×D₄	—	13	16	no	—
884	C₄×D₄	—	13	16	no	—
885	C₄×D₄	—	13	16	no	—
886	C₄×D₄	—	13	16	no	—
887	C₄×D₄	—	13	16	no	—
888	C₄×D₄	—	13	16	no	—
889	C₄×D₄	—	13	16	no	—
890	C₄×D₄	—	13	16	no	—
891	C₄×D₄	—	13	16	no	—
892	C₄×D₄	C₂²×D₁₃	1	16	yes	complemented
893	C₄×D₄	C₂²×D₁₃	1	16	yes	complemented
894	#117	—	13	8	no	—
895	#117	—	13	16	no	—
896	#117	—	13	16	no	—
897	#117	—	13	16	no	—
898	#117	C₂²×D₁₃	1	8	yes	complemented
899	C₂×C₄⋊C₄	—	13	2	no	—
900	C₂×C₄⋊C₄	—	13	2	no	—
901	C₂×C₄⋊C₄	—	13	2	no	—
902	C₂×C₄⋊C₄	—	13	2	no	—
903	C₂×C₄⋊C₄	—	13	1	no	—
904	C₂×C₄⋊C₄	—	13	2	no	—
905	C₂×C₄⋊C₄	—	13	1	no	—
906	C₂×C₄⋊C₄	—	13	2	no	—
907	C₂×C₄⋊C₄	—	13	2	no	—
908	C₂×C₄⋊C₄	—	13	2	no	—
909	C₂×C₄⋊C₄	C₂²×D₁₃	1	2	yes	complemented
910	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic, complemented
911	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic, complemented
912	C₂×C₄⋊C₄	C₂²×D₁₃	1	2	yes	complemented
913	C₂×C₂²⋊C₄	—	13	2	no	—
914	C₂×C₂²⋊C₄	—	13	2	no	—
915	C₂×C₂²⋊C₄	—	13	2	no	—
916	C₂×C₂²⋊C₄	—	13	2	no	—
917	C₂×C₂²⋊C₄	—	13	2	no	—
918	C₂×C₂²⋊C₄	—	13	2	no	—
919	C₂×C₂²⋊C₄	—	13	2	no	—
920	C₂×C₂²⋊C₄	—	13	8	no	—
921	C₂×C₂²⋊C₄	—	13	2	no	—
922	C₂×C₂²⋊C₄	—	13	2	no	—
923	C₂×C₂²⋊C₄	—	13	2	no	—
924	C₂×C₂²⋊C₄	—	13	2	no	—
925	C₂×C₂²⋊C₄	—	13	2	no	—
926	C₂×C₂²⋊C₄	—	13	2	no	—
927	C₂×C₂²⋊C₄	—	13	8	no	—
928	C₂×C₂²⋊C₄	—	13	8	no	—
929	C₂×C₂²⋊C₄	—	13	8	no	—
930	C₂×C₂²⋊C₄	—	13	16	no	—
931	C₂×C₂²⋊C₄	—	13	16	no	—
932	C₂×C₂²⋊C₄	—	13	16	no	—
933	C₂×C₂²⋊C₄	—	13	16	no	—
934	C₂×C₂²⋊C₄	—	13	2	no	—
935	C₂×C₂²⋊C₄	—	13	2	no	—
936	C₂×C₂²⋊C₄	—	13	2	no	—
937	C₂×C₂²⋊C₄	—	13	2	no	—
938	C₂×C₂²⋊C₄	—	13	2	no	—
939	C₂×C₂²⋊C₄	—	13	2	no	—
940	C₂×C₂²⋊C₄	—	13	2	no	—
941	C₂×C₂²⋊C₄	—	13	2	no	—
942	C₂×C₂²⋊C₄	—	13	2	no	—
943	C₂×C₂²⋊C₄	—	13	2	no	—
944	C₂×C₂²⋊C₄	—	13	16	no	—
945	C₂×C₂²⋊C₄	—	13	16	no	—
946	C₂×C₂²⋊C₄	—	13	16	no	—
947	C₂×C₂²⋊C₄	—	13	16	no	—
948	C₂×C₂²⋊C₄	—	13	16	no	—
949	C₂×C₂²⋊C₄	C₂²×D₁₃	1	2	yes	—
950	C₂×C₂²⋊C₄	C₂²×D₁₃	1	2	yes	—
951	C₂×C₂²⋊C₄	C₂²×D₁₃	1	2	yes	—
952	C₂×C₂²⋊C₄	C₂²×D₁₃	1	2	yes	complemented
953	C₂×C₂²⋊C₄	C₂²×D₁₃	1	2	yes	complemented
954	C₂×C₄²	—	13	2	no	—
955	C₂×C₄²	—	13	2	no	—
956	C₂×C₄²	—	13	2	no	—
957	C₂×C₄²	C₂²×D₁₃	1	2	yes	complemented
958	C₂×C₁₃	—	2	4	no	—
959	C₂×C₁₃	—	2	4	no	—
960	C₂×C₁₃	—	2	4	no	—
961	C₂×C₁₃	—	4	4	no	—
962	C₂×C₁₃	#3490	1	4	yes	complemented
963	C₂×C₁₃	C₂³×#41	1	1	yes	characteristic
964	C₂×C₁₃	C₂²×H(5,𝔽₂)	1	1	yes	characteristic
965	C₂×C₁₃	C₂²×H(5,𝔽₂)	1	1	yes	characteristic
966	D₁₃	—	2	8	no	—
967	D₁₃	—	4	4	no	—
968	D₁₃	—	4	4	no	—
969	C₂⁴	—	2	4	no	—
970	C₂⁴	—	2	4	no	—
971	C₂⁴	—	2	4	no	—
972	C₂⁴	—	13	2	no	—
973	C₂⁴	—	13	8	no	—
974	C₂⁴	—	13	4	no	—
975	C₂⁴	—	13	2	no	—
976	C₂⁴	—	13	2	no	—
977	C₂⁴	—	13	8	no	—
978	C₂⁴	—	13	8	no	—
979	C₂⁴	—	13	4	no	—
980	C₂⁴	—	13	8	no	—
981	C₂⁴	—	26	8	no	—
982	C₂⁴	—	26	8	no	—
983	C₂⁴	—	26	32	no	—
984	C₂⁴	—	26	8	no	—
985	C₂⁴	—	26	8	no	—
986	C₂⁴	—	26	4	no	—
987	C₂⁴	—	26	8	no	—
988	C₂⁴	—	52	2	no	—
989	C₂⁴	—	52	4	no	—
990	C₂⁴	—	52	16	no	—
991	C₂⁴	—	52	2	no	—
992	C₂⁴	—	52	2	no	—
993	C₂⁴	—	52	4	no	—
994	C₂⁴	—	52	16	no	—
995	C₂⁴	—	52	2	no	—
996	C₂⁴	—	52	4	no	—
997	C₂⁴	—	52	4	no	—
998	C₂⁴	—	52	64	no	—
999	C₂⁴	C₂³×D₁₃	1	4	yes	—
1000	C₂⁴	C₂³×D₁₃	1	2	yes	—
1001	C₂⁴	C₂³×D₁₃	1	1	yes	characteristic
1002	C₂⁴	C₂³×D₁₃	1	1	yes	characteristic
1003	C₂⁴	C₂³×D₁₃	1	1	yes	characteristic
1004	#41	—	4	16	no	—
1005	#41	—	52	16	no	—
1006	#41	—	52	32	no	—
1007	C₂×Q₈	—	4	2	no	—
1008	C₂×Q₈	—	13	4	no	—
1009	C₂×Q₈	—	13	8	no	—
1010	C₂×Q₈	—	52	2	no	—
1011	C₂×Q₈	—	52	4	no	—
1012	C₂×Q₈	C₂³×D₁₃	1	4	yes	complemented
1013	C₂×D₄	—	2	8	no	—
1014	C₂×D₄	—	2	8	no	—
1015	C₂×D₄	—	2	8	no	—
1016	C₂×D₄	—	4	2	no	—
1017	C₂×D₄	—	13	8	no	—
1018	C₂×D₄	—	13	8	no	—
1019	C₂×D₄	—	13	8	no	—
1020	C₂×D₄	—	13	8	no	—
1021	C₂×D₄	—	13	8	no	—
1022	C₂×D₄	—	13	8	no	—
1023	C₂×D₄	—	13	8	no	—
1024	C₂×D₄	—	13	8	no	—
1025	C₂×D₄	—	13	4	no	—
1026	C₂×D₄	—	13	8	no	—
1027	C₂×D₄	—	13	8	no	—
1028	C₂×D₄	—	26	8	no	—
1029	C₂×D₄	—	26	64	no	—
1030	C₂×D₄	—	26	8	no	—
1031	C₂×D₄	—	26	8	no	—
1032	C₂×D₄	—	26	8	no	—
1033	C₂×D₄	—	26	8	no	—
1034	C₂×D₄	—	52	4	no	—
1035	C₂×D₄	—	52	4	no	—
1036	C₂×D₄	—	52	2	no	—
1037	C₂×D₄	—	52	4	no	—
1038	C₂×D₄	—	52	4	no	—
1039	C₂×D₄	—	52	4	no	—
1040	C₂×D₄	—	52	32	no	—
1041	C₂×D₄	—	52	32	no	—
1042	C₂×D₄	C₂³×D₁₃	1	8	yes	—
1043	C₂×D₄	C₂³×D₁₃	1	8	yes	—
1044	C₂×D₄	C₂³×D₁₃	1	8	yes	—
1045	C₂×D₄	C₂³×D₁₃	1	4	yes	complemented
1046	C₂²×C₄	—	2	4	no	—
1047	C₂²×C₄	—	2	4	no	—
1048	C₂²×C₄	—	4	2	no	—
1049	C₂²×C₄	—	4	2	no	—
1050	C₂²×C₄	—	4	2	no	—
1051	C₂²×C₄	—	4	2	no	—
1052	C₂²×C₄	—	4	16	no	—
1053	C₂²×C₄	—	4	4	no	—
1054	C₂²×C₄	—	13	8	no	—
1055	C₂²×C₄	—	13	2	no	—
1056	C₂²×C₄	—	13	2	no	—
1057	C₂²×C₄	—	13	2	no	—
1058	C₂²×C₄	—	13	2	no	—
1059	C₂²×C₄	—	13	2	no	—
1060	C₂²×C₄	—	13	4	no	—
1061	C₂²×C₄	—	13	8	no	—
1062	C₂²×C₄	—	13	4	no	—
1063	C₂²×C₄	—	13	8	no	—
1064	C₂²×C₄	—	13	8	no	—
1065	C₂²×C₄	—	13	8	no	—
1066	C₂²×C₄	—	13	8	no	—
1067	C₂²×C₄	—	13	8	no	—
1068	C₂²×C₄	—	13	8	no	—
1069	C₂²×C₄	—	26	8	no	—
1070	C₂²×C₄	—	26	8	no	—
1071	C₂²×C₄	—	52	4	no	—
1072	C₂²×C₄	—	52	4	no	—
1073	C₂²×C₄	—	52	4	no	—
1074	C₂²×C₄	—	52	4	no	—
1075	C₂²×C₄	—	52	2	no	—
1076	C₂²×C₄	—	52	4	no	—
1077	C₂²×C₄	—	52	2	no	—
1078	C₂²×C₄	—	52	16	no	—
1079	C₂²×C₄	—	52	4	no	—
1080	C₂²×C₄	C₂³×D₁₃	1	4	yes	—
1081	C₂²×C₄	C₂³×D₁₃	1	4	yes	—
1082	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1083	C₂²×C₄	C₂³×D₁₃	1	2	yes	—
1084	C₂²×C₄	C₂³×D₁₃	1	2	yes	—
1085	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1086	C₂²×C₄	C₂³×D₁₃	1	2	yes	—
1087	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1088	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1089	C₂²×C₄	C₂³×D₁₃	1	4	yes	—
1090	C₂²×C₄	C₂³×D₁₃	1	4	yes	—
1091	C₂²×C₄	C₂³×D₁₃	1	4	yes	—
1092	C₂²×C₄	C₂³×D₁₃	1	4	yes	—
1093	C₂²×C₄	C₂³×D₁₃	1	8	yes	complemented
1094	C₄⋊C₄	—	13	8	no	—
1095	C₄⋊C₄	—	13	8	no	—
1096	C₄⋊C₄	—	13	8	no	—
1097	C₄⋊C₄	—	13	8	no	—
1098	C₄⋊C₄	—	13	4	no	—
1099	C₄⋊C₄	—	13	8	no	—
1100	C₄⋊C₄	—	13	4	no	—
1101	C₄⋊C₄	—	13	8	no	—
1102	C₄⋊C₄	—	13	8	no	—
1103	C₄⋊C₄	—	13	8	no	—
1104	C₄⋊C₄	C₂³×D₁₃	1	8	yes	complemented
1105	C₄⋊C₄	C₂³×D₁₃	1	4	yes	complemented
1106	C₄⋊C₄	C₂³×D₁₃	1	4	yes	complemented
1107	C₄⋊C₄	C₂³×D₁₃	1	8	yes	complemented
1108	C₂²⋊C₄	—	13	8	no	—
1109	C₂²⋊C₄	—	13	8	no	—
1110	C₂²⋊C₄	—	13	8	no	—
1111	C₂²⋊C₄	—	13	8	no	—
1112	C₂²⋊C₄	—	13	8	no	—
1113	C₂²⋊C₄	—	13	8	no	—
1114	C₂²⋊C₄	—	13	8	no	—
1115	C₂²⋊C₄	—	13	8	no	—
1116	C₂²⋊C₄	—	13	8	no	—
1117	C₂²⋊C₄	—	13	8	no	—
1118	C₂²⋊C₄	—	13	8	no	—
1119	C₂²⋊C₄	—	13	8	no	—
1120	C₂²⋊C₄	—	13	8	no	—
1121	C₂²⋊C₄	—	13	8	no	—
1122	C₂²⋊C₄	—	13	8	no	—
1123	C₂²⋊C₄	—	13	8	no	—
1124	C₂²⋊C₄	—	13	8	no	—
1125	C₂²⋊C₄	—	13	8	no	—
1126	C₂²⋊C₄	—	13	8	no	—
1127	C₂²⋊C₄	—	13	8	no	—
1128	C₂²⋊C₄	—	13	8	no	—
1129	C₂²⋊C₄	—	13	8	no	—
1130	C₂²⋊C₄	—	13	8	no	—
1131	C₂²⋊C₄	C₂³×D₁₃	1	8	yes	—
1132	C₂²⋊C₄	C₂³×D₁₃	1	8	yes	—
1133	C₂²⋊C₄	C₂³×D₁₃	1	8	yes	—
1134	C₂²⋊C₄	C₂³×D₁₃	1	8	yes	complemented
1135	C₂²⋊C₄	C₂³×D₁₃	1	8	yes	complemented
1136	C₄²	—	13	8	no	—
1137	C₄²	—	13	8	no	—
1138	C₄²	—	13	8	no	—
1139	C₄²	C₂³×D₁₃	1	8	yes	complemented
1140	C₁₃	C₂×#3490	1	1	yes	characteristic, complemented, Sylow
1141	C₂³	—	2	32	no	—
1142	C₂³	—	2	8	no	—
1143	C₂³	—	2	2	no	—
1144	C₂³	—	2	2	no	—
1145	C₂³	—	2	8	no	—
1146	C₂³	—	2	2	no	—
1147	C₂³	—	2	2	no	—
1148	C₂³	—	2	8	no	—
1149	C₂³	—	2	2	no	—
1150	C₂³	—	2	2	no	—
1151	C₂³	—	2	4	no	—
1152	C₂³	—	2	4	no	—
1153	C₂³	—	2	4	no	—
1154	C₂³	—	13	8	no	—
1155	C₂³	—	13	4	no	—
1156	C₂³	—	13	16	no	—
1157	C₂³	—	13	4	no	—
1158	C₂³	—	13	4	no	—
1159	C₂³	—	26	16	no	—
1160	C₂³	—	26	16	no	—
1161	C₂³	—	26	16	no	—
1162	C₂³	—	26	4	no	—
1163	C₂³	—	26	4	no	—
1164	C₂³	—	26	4	no	—
1165	C₂³	—	26	16	no	—
1166	C₂³	—	26	4	no	—
1167	C₂³	—	26	4	no	—
1168	C₂³	—	26	8	no	—
1169	C₂³	—	26	4	no	—
1170	C₂³	—	26	4	no	—
1171	C₂³	—	26	16	no	—
1172	C₂³	—	26	4	no	—
1173	C₂³	—	52	16	no	—
1174	C₂³	—	52	4	no	—
1175	C₂³	—	52	8	no	—
1176	C₂³	—	52	4	no	—
1177	C₂³	—	52	4	no	—
1178	C₂³	—	52	8	no	—
1179	C₂³	—	52	4	no	—
1180	C₂³	—	52	8	no	—
1181	C₂³	—	52	8	no	—
1182	C₂³	—	52	32	no	—
1183	C₂³	—	52	32	no	—
1184	C₂³	—	52	128	no	—
1185	C₂³	—	52	16	no	—
1186	C₂³	—	104	16	no	—
1187	C₂³	#88251	1	4	yes	—
1188	C₂³	#41×D₁₃	1	4	yes	—
1189	C₂³	#88256	1	4	yes	—
1190	C₂³	C₂⁴×D₁₃	1	4	yes	—
1191	C₂³	C₂⁴×D₁₃	1	2	yes	—
1192	C₂³	C₂⁴×D₁₃	1	2	yes	—
1193	C₂³	C₂⁴×D₁₃	1	2	yes	—
1194	C₂³	C₂⁴×D₁₃	1	1	yes	characteristic
1195	Q₈	—	4	4	no	—
1196	Q₈	—	52	4	no	—
1197	Q₈	—	52	8	no	—
1198	D₄	—	2	16	no	—
1199	D₄	—	2	16	no	—
1200	D₄	—	2	16	no	—
1201	D₄	—	4	4	no	—
1202	D₄	—	26	16	no	—
1203	D₄	—	26	16	no	—
1204	D₄	—	26	16	no	—
1205	D₄	—	26	16	no	—
1206	D₄	—	26	16	no	—
1207	D₄	—	52	8	no	—
1208	D₄	—	52	8	no	—
1209	D₄	—	52	4	no	—
1210	D₄	—	52	8	no	—
1211	D₄	—	52	8	no	—
1212	D₄	—	52	8	no	—
1213	C₂×C₄	—	2	2	no	—
1214	C₂×C₄	—	2	2	no	—
1215	C₂×C₄	—	2	2	no	—
1216	C₂×C₄	—	2	2	no	—
1217	C₂×C₄	—	2	8	no	—
1218	C₂×C₄	—	2	8	no	—
1219	C₂×C₄	—	2	4	no	—
1220	C₂×C₄	—	2	4	no	—
1221	C₂×C₄	—	2	4	no	—
1222	C₂×C₄	—	4	4	no	—
1223	C₂×C₄	—	4	4	no	—
1224	C₂×C₄	—	4	4	no	—
1225	C₂×C₄	—	4	4	no	—
1226	C₂×C₄	—	4	8	no	—
1227	C₂×C₄	—	13	4	no	—
1228	C₂×C₄	—	13	4	no	—
1229	C₂×C₄	—	13	4	no	—
1230	C₂×C₄	—	13	4	no	—
1231	C₂×C₄	—	13	4	no	—
1232	C₂×C₄	—	26	16	no	—
1233	C₂×C₄	—	26	4	no	—
1234	C₂×C₄	—	26	4	no	—
1235	C₂×C₄	—	26	4	no	—
1236	C₂×C₄	—	26	4	no	—
1237	C₂×C₄	—	26	16	no	—
1238	C₂×C₄	—	26	4	no	—
1239	C₂×C₄	—	52	8	no	—
1240	C₂×C₄	—	52	8	no	—
1241	C₂×C₄	—	52	8	no	—
1242	C₂×C₄	—	52	8	no	—
1243	C₂×C₄	—	52	4	no	—
1244	C₂×C₄	—	52	8	no	—
1245	C₂×C₄	—	52	4	no	—
1246	C₂×C₄	—	52	8	no	—
1247	C₂×C₄	C₂⁴×D₁₃	1	2	yes	—
1248	C₂×C₄	C₂⁴×D₁₃	1	4	yes	—
1249	C₂×C₄	C₂⁴×D₁₃	1	4	yes	—
1250	C₂×C₄	C₂⁴×D₁₃	1	2	yes	—
1251	C₂×C₄	C₂⁴×D₁₃	1	4	yes	—
1252	C₂×C₄	C₂⁴×D₁₃	1	2	yes	—
1253	C₂×C₄	C₂⁴×D₁₃	1	2	yes	—
1254	C₂²	—	2	32	no	—
1255	C₂²	—	2	8	no	—
1256	C₂²	—	2	8	no	—
1257	C₂²	—	2	8	no	—
1258	C₂²	—	2	2	no	—
1259	C₂²	—	2	2	no	—
1260	C₂²	—	2	2	no	—
1261	C₂²	—	2	2	no	—
1262	C₂²	—	2	2	no	—
1263	C₂²	—	2	2	no	—
1264	C₂²	—	2	4	no	—
1265	C₂²	—	2	4	no	—
1266	C₂²	—	2	4	no	—
1267	C₂²	—	4	8	no	—
1268	C₂²	—	13	8	no	—
1269	C₂²	—	26	16	no	—
1270	C₂²	—	26	4	no	—
1271	C₂²	—	26	4	no	—
1272	C₂²	—	26	4	no	—
1273	C₂²	—	26	4	no	—
1274	C₂²	—	26	4	no	—
1275	C₂²	—	26	4	no	—
1276	C₂²	—	26	4	no	—
1277	C₂²	—	26	4	no	—
1278	C₂²	—	52	16	no	—
1279	C₂²	—	52	32	no	—
1280	C₂²	—	52	32	no	—
1281	C₂²	—	52	16	no	—
1282	C₂²	—	52	8	no	—
1283	C₂²	—	52	8	no	—
1284	C₂²	—	104	16	no	—
1285	C₂²	C₂×#88251	1	4	yes	—
1286	C₂²	C₂×#88251	1	2	yes	—
1287	C₂²	C₂×#41×D₁₃	1	4	yes	—
1288	C₂²	C₂×#41×D₁₃	1	2	yes	—
1289	C₂²	C₂×#88256	1	4	yes	—
1290	C₂²	C₂×#88256	1	2	yes	—
1291	C₂²	C₂⁵×D₁₃	1	1	yes	characteristic
1292	C₄	—	2	4	no	—
1293	C₄	—	2	2	no	—
1294	C₄	—	2	2	no	—
1295	C₄	—	2	2	no	—
1296	C₄	—	2	2	no	—
1297	C₄	—	2	4	no	—
1298	C₄	—	2	4	no	—
1299	C₄	—	26	4	no	—
1300	C₄	—	26	4	no	—
1301	C₄	—	26	4	no	—
1302	C₄	—	26	4	no	—
1303	C₄	—	26	4	no	—
1304	C₂	—	2	4	no	—
1305	C₂	—	2	4	no	—
1306	C₂	—	2	4	no	—
1307	C₂	—	4	4	no	—
1308	C₂	—	26	8	no	—
1309	C₂	—	52	4	no	—
1310	C₂	—	52	4	no	—
1311	C₂	#13128519	1	4	yes	direct product factor
1312	C₂	C₂²×#41×D₁₃	1	1	yes	characteristic
1313	C₂	C₂²×#88251	1	1	yes	characteristic
1314	C₂	C₂²×#88256	1	1	yes	characteristic

	subgroup	G/H
center	C₂³	C₂⁴×D₁₃
commutator, cosocle	C₂²×C₁₃	C₂⁶
Frattini	C₂²	C₂⁵×D₁₃
Fitting	C₂×C₁₃×#525	C₂
socle	C₂³×C₁₃	C₂⁵
hypercenter	C₂×#525	D₁₃
hypocenter	C₁₃	C₂×#3490
LCS	G ▷ C₂²×C₁₃ ▷ C₁₃
UCS	C₁ ◁ C₂³ ◁ C₂×#525

Complements

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

N	H ≅ G/N	type
1. #13128519	C₂	direct (N × H)
2. C₂×#11719261	C₂	semidirect
3. C₂×#11719342	C₂	semidirect
4. C₂×#11719232	C₂	semidirect
5. C₂×#11719363	C₂	semidirect
6. C₂×#11719259	C₂	semidirect
7. C₂×#11719359	C₂	semidirect
8. C₂×#11719315	C₂	semidirect
9. C₂×#11719534	C₂	semidirect
10. C₂×#11719339	C₂	semidirect
11. C₂×#11719349	C₂	semidirect
12. C₂×#11719322	C₂	semidirect
13. C₂×#11719265	C₂	semidirect
14. C₂×#11719310	C₂	semidirect
15. C₂×#11719496	C₂	semidirect
16. C₂×#11719291	C₂	semidirect
17. C₂×D₁₃×#120	C₂	semidirect
18. C₂×#11719250	C₂	semidirect
19. C₂³×#6103	C₂	semidirect
20. C₂×C₁₃×#525	C₂	semidirect
22. C₂²×C₁₃×#41	C₂²	semidirect
23. C₂⁴×C₄×C₁₃	C₂²	semidirect
24. C₂⁴×Dic₁₃	C₂²	semidirect
25. C₂²×#6129	C₂²	semidirect
27. C₂²×D₄×D₁₃	C₂²	semidirect
28. C₂²×D₄×D₁₃	C₂²	semidirect
29. C₂²×#6127	C₂²	semidirect
30. C₁₃×#525	C₂²	semidirect
31. C₂×C₁₃×#123	C₂²	semidirect
32. C₂×C₁₃×C₂²⋊Q₈	C₂²	semidirect
33. C₂×C₁₃×C₂²⋊Q₈	C₂²	semidirect
34. C₂×C₁₃×#121	C₂²	semidirect
35. C₂×C₁₃×#121	C₂²	semidirect
36. C₂×C₁₃×#120	C₂²	semidirect
37. C₂×C₄×D₄×C₁₃	C₂²	semidirect
38. C₂×C₄×D₄×C₁₃	C₂²	semidirect
39. C₂×C₁₃×#117	C₂²	semidirect
40. C₂×#88207	C₂²	semidirect
41. #11719534	C₂²	semidirect
42. C₂×#88201	C₂²	semidirect
43. C₂×#88200	C₂²	semidirect
44. C₂×#88193	C₂²	semidirect
45. C₂×#88193	C₂²	semidirect
46. C₂×#88193	C₂²	semidirect
49. C₂×#88191	C₂²	semidirect
50. C₂×#88191	C₂²	semidirect
51. C₂×#88189	C₂²	semidirect
52. C₂×D₄×Dic₁₃	C₂²	semidirect
53. C₂×D₄×Dic₁₃	C₂²	semidirect
54. #11719496	C₂²	semidirect
55. C₂×#88184	C₂²	semidirect
56. C₂×#88184	C₂²	semidirect
57. C₂×#88184	C₂²	semidirect
58. C₂×#88183	C₂²	semidirect
59. C₂×#88183	C₂²	semidirect
60. C₂×C₄×C₂²⋊D₁₃	C₂²	semidirect
61. C₂×C₄×C₂²⋊D₁₃	C₂²	semidirect
62. C₂×C₄×C₂²⋊D₁₃	C₂²	semidirect
65. C₂²×#6103	C₂²	semidirect
66. C₂²×#6103	C₂²	semidirect
67. C₂²×#6103	C₂²	semidirect
68. C₂²×#6103	C₂²	semidirect
69. C₂²×#6103	C₂²	semidirect
70. C₂²×#6103	C₂²	semidirect
71. C₂²×#6103	C₂²	semidirect
72. C₂²×#6103	C₂²	semidirect
73. C₂×#88180	C₂²	semidirect
74. C₂×#88178	C₂²	semidirect
75. C₂×#88178	C₂²	semidirect
76. #11719363	C₂²	semidirect
77. #11719359	C₂²	semidirect
78. #11719349	C₂²	semidirect
79. #11719342	C₂²	semidirect
80. #11719339	C₂²	semidirect
81. #11719322	C₂²	semidirect
82. #11719315	C₂²	semidirect
83. #11719310	C₂²	semidirect
84. D₁₃×#120	C₂²	semidirect
85. #11719291	C₂²	semidirect
86. #11719265	C₂²	semidirect
87. #11719261	C₂²	semidirect
88. #11719259	C₂²	semidirect
89. #11719250	C₂²	semidirect
90. #11719232	C₂²	semidirect
91. C₂×#88152	C₂²	semidirect
92. C₂×#88152	C₂²	semidirect
93. C₂×#88152	C₂²	semidirect
94. C₂×#88151	C₂²	semidirect
95. C₂×#88150	C₂²	semidirect
96. C₂×#88150	C₂²	semidirect
97. C₂×#88149	C₂²	semidirect
98. C₂×#88148	C₂²	semidirect
99. C₂×#88148	C₂²	semidirect
100. C₂×#88148	C₂²	semidirect
101. C₂×#88147	C₂²	semidirect
102. C₂×#88146	C₂²	semidirect
103. C₂×#88140	C₂²	semidirect
104. C₂×#88140	C₂²	semidirect
105. C₂×#88139	C₂²	semidirect
106. C₂×#88139	C₂²	semidirect
107. C₂×#88138	C₂²	semidirect
108. C₂×#88137	C₂²	semidirect
111. C₂×#88136	C₂²	semidirect
112. C₂×#88136	C₂²	semidirect
113. C₂×#88135	C₂²	semidirect
114. C₂×#88135	C₂²	semidirect
115. C₂×#88135	C₂²	semidirect
117. C₂×C₂²⋊C₄×D₁₃	C₂²	semidirect
118. C₂×C₂²⋊C₄×D₁₃	C₂²	semidirect
119. C₂×C₂²⋊C₄×D₁₃	C₂²	semidirect
120. C₂×#88132	C₂²	semidirect
121. C₂×#88132	C₂²	semidirect
122. C₂×#88131	C₂²	semidirect
123. C₂×#88130	C₂²	semidirect
124. C₂×#88129	C₂²	semidirect
125. C₂×C₄×D₅₂	C₂²	semidirect
126. C₂×#88126	C₂²	semidirect
138. C₂×C₁₃×#41	C₂³	semidirect
139. C₂²×Q₈×C₁₃	C₂³	semidirect
143. C₂²×D₄×C₁₃	C₂³	semidirect
151. C₂³×C₄×C₁₃	C₂³	semidirect
152. C₂³×C₄×C₁₃	C₂³	semidirect
159. C₂²×C₂²⋊D₁₃	C₂³	semidirect
165. C₂³×Dic₁₃	C₂³	semidirect
166. C₂³×Dic₁₃	C₂³	semidirect
168. C₂×#6129	C₂³	semidirect
173. C₂×D₄×D₁₃	C₂³	semidirect
174. C₂×D₄×D₁₃	C₂³	semidirect
176. C₂×#6127	C₂³	semidirect
180. C₂²×D₅₂	C₂³	semidirect
184. C₂²×C₄×D₁₃	C₂³	semidirect
185. C₂²×C₄×D₁₃	C₂³	semidirect
186. C₂²×Dic₂₆	C₂³	semidirect
187. C₂²×Dic₂₆	C₂³	semidirect
188. C₁₃×#123	C₂³	semidirect
189. C₁₃×C₂²⋊Q₈	C₂³	semidirect
190. C₁₃×C₂²⋊Q₈	C₂³	semidirect
191. C₁₃×#121	C₂³	semidirect
192. C₁₃×#121	C₂³	semidirect
193. C₁₃×#120	C₂³	semidirect
194. C₄×D₄×C₁₃	C₂³	semidirect
195. C₄×D₄×C₁₃	C₂³	semidirect
196. C₁₃×#117	C₂³	semidirect
197. C₂×C₁₃×C₄⋊C₄	C₂³	semidirect
198. C₂×C₁₃×C₄⋊C₄	C₂³	semidirect
199. C₂×C₁₃×C₄⋊C₄	C₂³	semidirect
200. C₂×C₁₃×C₄⋊C₄	C₂³	semidirect
204. C₂×C₁₃×C₂²⋊C₄	C₂³	semidirect
205. C₂×C₁₃×C₂²⋊C₄	C₂³	semidirect
206. C₂×C₄²×C₁₃	C₂³	semidirect
207. #88207	C₂³	semidirect
211. C₂×C₂²⋊Dic₁₃	C₂³	semidirect
212. C₂×C₂²⋊Dic₁₃	C₂³	semidirect
213. #88201	C₂³	semidirect
214. #88200	C₂³	semidirect
215. #88193	C₂³	semidirect
216. #88193	C₂³	semidirect
217. #88193	C₂³	semidirect
220. #88191	C₂³	semidirect
221. #88191	C₂³	semidirect
222. #88189	C₂³	semidirect
223. D₄×Dic₁₃	C₂³	semidirect
224. D₄×Dic₁₃	C₂³	semidirect
225. #88184	C₂³	semidirect
226. #88184	C₂³	semidirect
227. #88184	C₂³	semidirect
228. #88183	C₂³	semidirect
229. #88183	C₂³	semidirect
230. C₄×C₂²⋊D₁₃	C₂³	semidirect
231. C₄×C₂²⋊D₁₃	C₂³	semidirect
232. C₄×C₂²⋊D₁₃	C₂³	semidirect
249. C₂×#6103	C₂³	semidirect
250. C₂×#6103	C₂³	semidirect
251. C₂×#6103	C₂³	semidirect
252. C₂×#6103	C₂³	semidirect
253. C₂×#6103	C₂³	semidirect
254. C₂×#6103	C₂³	semidirect
255. C₂×#6103	C₂³	semidirect
256. C₂×#6103	C₂³	semidirect
257. C₂×#6103	C₂³	semidirect
258. C₂×#6103	C₂³	semidirect
259. C₂×#6103	C₂³	semidirect
260. #88180	C₂³	semidirect
261. C₂×C₄⋊Dic₁₃	C₂³	semidirect
262. C₂×C₄⋊Dic₁₃	C₂³	semidirect
263. C₂×C₄⋊Dic₁₃	C₂³	semidirect
264. C₂×C₄⋊Dic₁₃	C₂³	semidirect
265. #88178	C₂³	semidirect
266. #88178	C₂³	semidirect
267. C₂×#6101	C₂³	semidirect
268. C₂×#6101	C₂³	semidirect
269. C₂×#6101	C₂³	semidirect
270. C₂×#6101	C₂³	semidirect
271. C₂×#6101	C₂³	semidirect
272. C₂×#6101	C₂³	semidirect
273. C₂×C₄×Dic₁₃	C₂³	semidirect
274. C₂×C₄×Dic₁₃	C₂³	semidirect
275. C₂×C₄×Dic₁₃	C₂³	semidirect
276. #88152	C₂³	semidirect
277. #88152	C₂³	semidirect
278. #88152	C₂³	semidirect
279. #88151	C₂³	semidirect
280. #88150	C₂³	semidirect
281. #88150	C₂³	semidirect
282. #88149	C₂³	semidirect
283. #88148	C₂³	semidirect
284. #88148	C₂³	semidirect
285. #88148	C₂³	semidirect
286. #88147	C₂³	semidirect
287. #88146	C₂³	semidirect
288. #88140	C₂³	semidirect
289. #88140	C₂³	semidirect
290. #88139	C₂³	semidirect
291. #88139	C₂³	semidirect
292. #88138	C₂³	semidirect
293. #88137	C₂³	semidirect
296. #88136	C₂³	semidirect
297. #88136	C₂³	semidirect
298. #88135	C₂³	semidirect
299. #88135	C₂³	semidirect
300. #88135	C₂³	semidirect
302. C₂²⋊C₄×D₁₃	C₂³	semidirect
303. C₂²⋊C₄×D₁₃	C₂³	semidirect
304. C₂²⋊C₄×D₁₃	C₂³	semidirect
305. #88132	C₂³	semidirect
306. #88132	C₂³	semidirect
307. #88131	C₂³	semidirect
308. #88130	C₂³	semidirect
309. #88129	C₂³	semidirect
310. C₄×D₅₂	C₂³	semidirect
311. #88126	C₂³	semidirect
339. C₂³×D₁₃	#41	semidirect
350. C₂×Q₈×C₁₃	C₂⁴	semidirect
358. C₂×D₄×C₁₃	C₂⁴	semidirect
380. C₂²×C₄×C₁₃	C₂⁴	semidirect
394. C₂×C₂²⋊D₁₃	C₂⁴	semidirect
410. C₂²×Dic₁₃	C₂⁴	semidirect
423. C₂×D₅₂	C₂⁴	semidirect
432. C₂×C₄×D₁₃	C₂⁴	semidirect
433. C₂×C₄×D₁₃	C₂⁴	semidirect
436. C₂×Dic₂₆	C₂⁴	semidirect
437. C₂×Dic₂₆	C₂⁴	semidirect
438. C₁₃×C₄⋊C₄	C₂⁴	semidirect
439. C₁₃×C₄⋊C₄	C₂⁴	semidirect
440. C₁₃×C₄⋊C₄	C₂⁴	semidirect
441. C₁₃×C₄⋊C₄	C₂⁴	semidirect
445. C₁₃×C₂²⋊C₄	C₂⁴	semidirect
446. C₁₃×C₂²⋊C₄	C₂⁴	semidirect
447. C₄²×C₁₃	C₂⁴	semidirect
451. C₂²⋊Dic₁₃	C₂⁴	semidirect
452. C₂²⋊Dic₁₃	C₂⁴	semidirect
467. #6103	C₂⁴	semidirect
468. #6103	C₂⁴	semidirect
469. #6103	C₂⁴	semidirect
470. #6103	C₂⁴	semidirect
471. C₄⋊Dic₁₃	C₂⁴	semidirect
472. C₄⋊Dic₁₃	C₂⁴	semidirect
473. C₄⋊Dic₁₃	C₂⁴	semidirect
474. C₄⋊Dic₁₃	C₂⁴	semidirect
475. #6101	C₂⁴	semidirect
476. #6101	C₂⁴	semidirect
477. #6101	C₂⁴	semidirect
478. #6101	C₂⁴	semidirect
479. #6101	C₂⁴	semidirect
480. #6101	C₂⁴	semidirect
481. C₄×Dic₁₃	C₂⁴	semidirect
482. C₄×Dic₁₃	C₂⁴	semidirect
483. C₄×Dic₁₃	C₂⁴	semidirect
500. C₂×#525	D₁₃	semidirect
554. C₂²×D₁₃	C₂×#41	semidirect
620. C₂²×#41	C₂×D₁₃	semidirect
625. C₂⁴×C₄	C₂×D₁₃	semidirect
649. #525	C₂×D₁₃	semidirect
659. C₂×#123	C₂×D₁₃	semidirect
668. C₂×C₂²⋊Q₈	C₂×D₁₃	semidirect
669. C₂×C₂²⋊Q₈	C₂×D₁₃	semidirect
678. C₂×#121	C₂×D₁₃	semidirect
679. C₂×#121	C₂×D₁₃	semidirect
690. C₂×#120	C₂×D₁₃	semidirect
702. C₂×C₄×D₄	C₂×D₁₃	semidirect
703. C₂×C₄×D₄	C₂×D₁₃	semidirect
708. C₂×#117	C₂×D₁₃	semidirect
788. C₂×#41	C₂²×D₁₃	semidirect
791. C₂²×Q₈	C₂²×D₁₃	semidirect
812. C₂²×D₄	C₂²×D₁₃	semidirect
832. C₂³×C₄	C₂²×D₁₃	semidirect
833. C₂³×C₄	C₂²×D₁₃	semidirect
851. #123	C₂²×D₁₃	semidirect
860. C₂²⋊Q₈	C₂²×D₁₃	semidirect
861. C₂²⋊Q₈	C₂²×D₁₃	semidirect
870. #121	C₂²×D₁₃	semidirect
871. #121	C₂²×D₁₃	semidirect
881. #120	C₂²×D₁₃	semidirect
892. C₄×D₄	C₂²×D₁₃	semidirect
893. C₄×D₄	C₂²×D₁₃	semidirect
898. #117	C₂²×D₁₃	semidirect
909. C₂×C₄⋊C₄	C₂²×D₁₃	semidirect
910. C₂×C₄⋊C₄	C₂²×D₁₃	semidirect
911. C₂×C₄⋊C₄	C₂²×D₁₃	semidirect
912. C₂×C₄⋊C₄	C₂²×D₁₃	semidirect
952. C₂×C₂²⋊C₄	C₂²×D₁₃	semidirect
953. C₂×C₂²⋊C₄	C₂²×D₁₃	semidirect
957. C₂×C₄²	C₂²×D₁₃	semidirect
962. C₂×C₁₃	#3490	semidirect
1012. C₂×Q₈	C₂³×D₁₃	semidirect
1045. C₂×D₄	C₂³×D₁₃	semidirect
1093. C₂²×C₄	C₂³×D₁₃	semidirect
1104. C₄⋊C₄	C₂³×D₁₃	semidirect
1105. C₄⋊C₄	C₂³×D₁₃	semidirect
1106. C₄⋊C₄	C₂³×D₁₃	semidirect
1107. C₄⋊C₄	C₂³×D₁₃	semidirect
1134. C₂²⋊C₄	C₂³×D₁₃	semidirect
1135. C₂²⋊C₄	C₂³×D₁₃	semidirect
1139. C₄²	C₂³×D₁₃	semidirect
1140. C₁₃	C₂×#3490	semidirect
1311. C₂	#13128519	direct (N × H)

Maximal subgroups

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

subgroup	index
#13128519	2
C₂×#11719261	2
C₂×#11719342	2
C₂×#11719232	2
C₂×#11719363	2
C₂×#11719259	2
C₂×#11719359	2
C₂×#11719315	2
C₂×#11719534	2
C₂×#11719339	2
C₂×#11719349	2
C₂×#11719322	2
C₂×#11719265	2
C₂×#11719310	2
C₂×#11719496	2
C₂×#11719291	2
C₂×D₁₃×#120	2
C₂×#11719250	2
C₂³×#6103	2
C₂×C₁₃×#525	2
C₂×#3490	13

Subgroups — C2×#13128519 #16770826

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₂×#13128519 #16770826