Subgroups — C₂×D₁₃×#552 #16769903

Order 3328.

7934 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	C₂×#11719347	C₂	1	1	yes	maximal, characteristic, complemented
2	C₂×#11719286	C₂	1	1	yes	maximal, characteristic, complemented
3	C₂×#11719246	C₂	1	1	yes	maximal, characteristic, complemented
4	C₂×#11719234	C₂	1	1	yes	maximal, characteristic, complemented
5	C₂×#11719399	C₂	1	1	yes	maximal, characteristic, complemented
6	C₂×#11719355	C₂	1	2	yes	maximal, complemented
7	C₂×#11719413	C₂	1	2	yes	maximal, complemented
8	C₂×#11719218	C₂	1	1	yes	maximal, characteristic, complemented
9	C₂×#11719344	C₂	1	1	yes	maximal, characteristic, complemented
10	C₂×#11719236	C₂	1	2	yes	maximal, complemented
11	C₂×#11719398	C₂	1	2	yes	maximal, complemented
12	D₁₃×#552	C₂	1	32	yes	maximal, direct product factor
13	C₂×D₁₃×#126	C₂	1	2	yes	maximal, complemented
14	C₂×D₁₃×#125	C₂	1	2	yes	maximal, complemented
15	C₂×D₁₃×#125	C₂	1	1	yes	maximal, characteristic, complemented
16	C₂×D₁₃×#123	C₂	1	2	yes	maximal
17	C₂×D₁₃×C₂²⋊Q₈	C₂	1	1	yes	maximal, characteristic, complemented
18	C₂×D₁₃×C₂²⋊Q₈	C₂	1	1	yes	maximal, characteristic, complemented
19	C₂×C₄×Q₈×D₁₃	C₂	1	1	yes	maximal, characteristic, complemented
20	C₂×C₄×D₄×D₁₃	C₂	1	1	yes	maximal, characteristic
21	C₂×D₁₃×#117	C₂	1	1	yes	maximal, characteristic, complemented
22	C₂×D₁₃×#117	C₂	1	2	yes	maximal, complemented
23	C₂²×C₄⋊C₄×D₁₃	C₂	1	1	yes	maximal, characteristic, complemented
24	C₂×C₁₃×#552	C₂	1	1	yes	maximal, characteristic, complemented
25	C₂²×Q₈×D₁₃	C₂²	1	1	yes	characteristic
26	C₂²×D₄×D₁₃	C₂²	1	1	yes	characteristic
27	C₂³×C₄×D₁₃	C₂²	1	2	yes	—
28	C₂³×C₄×D₁₃	C₂²	1	1	yes	characteristic
29	C₂³×C₄×D₁₃	C₂²	1	1	yes	characteristic
30	C₁₃×#552	C₂²	1	16	yes	complemented
31	C₂×C₁₃×#126	C₂²	1	2	yes	complemented
32	C₂×C₁₃×#125	C₂²	1	2	yes	complemented
33	C₂×C₁₃×#125	C₂²	1	1	yes	characteristic, complemented
34	C₂×C₁₃×#123	C₂²	1	2	yes	—
35	C₂×C₁₃×C₂²⋊Q₈	C₂²	1	1	yes	characteristic, complemented
36	C₂×C₁₃×C₂²⋊Q₈	C₂²	1	1	yes	characteristic, complemented
37	C₂×C₄×Q₈×C₁₃	C₂²	1	1	yes	characteristic, complemented
38	C₂×C₄×D₄×C₁₃	C₂²	1	1	yes	characteristic
39	C₂×C₁₃×#117	C₂²	1	2	yes	complemented
40	C₂×C₁₃×#117	C₂²	1	1	yes	characteristic, complemented
41	C₂²×C₁₃×C₄⋊C₄	C₂²	1	1	yes	characteristic, complemented
42	C₂×#88200	C₂²	1	1	yes	characteristic, complemented
43	C₂×#88200	C₂²	1	1	yes	characteristic, complemented
44	C₂×Q₈×Dic₁₃	C₂²	1	1	yes	characteristic, complemented
45	C₂×#88189	C₂²	1	2	yes	—
46	C₂×D₄×Dic₁₃	C₂²	1	1	yes	characteristic
47	C₂×#88183	C₂²	1	2	yes	—
48	C₂×C₄×C₂²⋊D₁₃	C₂²	1	1	yes	characteristic
49	C₂×C₄×C₂²⋊D₁₃	C₂²	1	1	yes	characteristic
50	C₂×#88180	C₂²	1	1	yes	characteristic, complemented
51	C₂×#88180	C₂²	1	2	yes	complemented
52	C₂²×C₄⋊Dic₁₃	C₂²	1	1	yes	characteristic, complemented
53	C₂×#88178	C₂²	1	1	yes	characteristic, complemented
54	C₂×#88178	C₂²	1	1	yes	characteristic, complemented
55	C₂²×#6101	C₂²	1	2	yes	complemented
56	#11719413	C₂²	1	32	yes	complemented
57	D₁₃×#126	C₂²	1	32	yes	complemented
58	#11719399	C₂²	1	16	yes	complemented
59	#11719398	C₂²	1	32	yes	complemented
60	D₁₃×#125	C₂²	1	32	yes	complemented
61	D₁₃×#125	C₂²	1	16	yes	complemented
62	D₁₃×#123	C₂²	1	32	yes	—
63	#11719355	C₂²	1	32	yes	complemented
64	#11719347	C₂²	1	16	yes	complemented
65	#11719344	C₂²	1	16	yes	complemented
66	D₁₃×C₂²⋊Q₈	C₂²	1	16	yes	complemented
67	D₁₃×C₂²⋊Q₈	C₂²	1	16	yes	complemented
68	#11719286	C₂²	1	16	yes	complemented
69	C₄×Q₈×D₁₃	C₂²	1	16	yes	complemented
70	C₄×D₄×D₁₃	C₂²	1	16	yes	—
71	#11719246	C₂²	1	16	yes	complemented
72	#11719236	C₂²	1	32	yes	complemented
73	#11719234	C₂²	1	16	yes	complemented
74	D₁₃×#117	C₂²	1	16	yes	complemented
75	D₁₃×#117	C₂²	1	32	yes	complemented
76	#11719218	C₂²	1	16	yes	complemented
77	C₂×#88152	C₂²	1	2	yes	complemented
78	C₂×#88152	C₂²	1	2	yes	complemented
79	C₂×#88152	C₂²	1	2	yes	complemented
80	C₂×#88151	C₂²	1	1	yes	characteristic, complemented
81	C₂×#88151	C₂²	1	1	yes	characteristic, complemented
82	C₂×#88150	C₂²	1	2	yes	complemented
83	C₂×#88150	C₂²	1	2	yes	complemented
84	C₂×#88148	C₂²	1	2	yes	—
85	C₂×#88148	C₂²	1	2	yes	—
86	C₂×#88147	C₂²	1	1	yes	characteristic
87	C₂×#88146	C₂²	1	2	yes	complemented
88	C₂×#88146	C₂²	1	1	yes	characteristic, complemented
89	C₂×#88146	C₂²	1	2	yes	complemented
90	C₂×#88146	C₂²	1	1	yes	characteristic, complemented
91	C₂×C₄⋊C₄×D₁₃	C₂²	1	1	yes	characteristic
92	C₂×C₄⋊C₄×D₁₃	C₂²	1	1	yes	characteristic
93	C₂×C₄⋊C₄×D₁₃	C₂²	1	2	yes	—
94	C₂×C₄⋊C₄×D₁₃	C₂²	1	2	yes	—
95	C₂×C₄⋊C₄×D₁₃	C₂²	1	1	yes	characteristic
96	C₂×C₄⋊C₄×D₁₃	C₂²	1	2	yes	—
97	C₂×C₄⋊C₄×D₁₃	C₂²	1	1	yes	characteristic
98	C₂×C₄⋊C₄×D₁₃	C₂²	1	2	yes	—
99	C₂×C₄⋊C₄×D₁₃	C₂²	1	2	yes	—
100	C₂×C₄⋊C₄×D₁₃	C₂²	1	2	yes	—
101	C₂×C₄⋊C₄×D₁₃	C₂²	1	16	yes	complemented
102	C₂×C₄⋊C₄×D₁₃	C₂²	1	2	yes	complemented
103	C₂×C₄⋊C₄×D₁₃	C₂²	1	1	yes	characteristic, complemented
104	C₂×C₄⋊C₄×D₁₃	C₂²	1	1	yes	characteristic, complemented
105	C₂×#88144	C₂²	1	1	yes	characteristic, complemented
106	C₂×#88144	C₂²	1	2	yes	complemented
107	C₂×#88144	C₂²	1	2	yes	complemented
108	C₂×#88144	C₂²	1	1	yes	characteristic, complemented
109	C₂×#88143	C₂²	1	2	yes	complemented
110	C₂×#88143	C₂²	1	2	yes	complemented
111	C₂×#88143	C₂²	1	2	yes	complemented
112	C₂×#88143	C₂²	1	2	yes	complemented
113	C₂×#88143	C₂²	1	2	yes	complemented
114	C₂×#88143	C₂²	1	2	yes	complemented
115	C₂×#88141	C₂²	1	2	yes	complemented
116	C₂×#88141	C₂²	1	1	yes	characteristic, complemented
117	C₂×#88140	C₂²	1	2	yes	—
118	C₂×#88137	C₂²	1	2	yes	—
119	C₂×#88137	C₂²	1	2	yes	—
120	C₂×#88135	C₂²	1	1	yes	characteristic
121	C₂×#88135	C₂²	1	1	yes	characteristic
122	C₂×C₂²⋊C₄×D₁₃	C₂²	1	1	yes	characteristic
123	C₂×C₂²⋊C₄×D₁₃	C₂²	1	2	yes	—
124	C₂×C₂²⋊C₄×D₁₃	C₂²	1	2	yes	—
125	C₂×C₂²⋊C₄×D₁₃	C₂²	1	1	yes	characteristic
126	C₂×C₂²⋊C₄×D₁₃	C₂²	1	2	yes	—
127	C₂×#88133	C₂²	1	2	yes	complemented
128	C₂×#88133	C₂²	1	2	yes	complemented
129	C₂×#88133	C₂²	1	2	yes	complemented
130	C₂×#88132	C₂²	1	2	yes	complemented
131	C₂×#88132	C₂²	1	2	yes	complemented
132	C₂×#88131	C₂²	1	2	yes	complemented
133	C₂×#88131	C₂²	1	2	yes	complemented
134	C₂×#88131	C₂²	1	2	yes	complemented
135	C₂×#88130	C₂²	1	2	yes	complemented
136	C₂×C₄×D₅₂	C₂²	1	1	yes	characteristic
137	C₂×#88126	C₂²	1	2	yes	complemented
138	C₂×#88126	C₂²	1	2	yes	complemented
139	C₂×#88126	C₂²	1	2	yes	complemented
140	C₂×C₄²×D₁₃	C₂²	1	2	yes	—
141	C₂×C₄²×D₁₃	C₂²	1	2	yes	—
142	C₂×C₄²×D₁₃	C₂²	1	1	yes	characteristic
143	C₂×#88124	C₂²	1	2	yes	complemented
144	C₂×#88124	C₂²	1	1	yes	characteristic, complemented
145	C₂×C₄×Dic₂₆	C₂²	1	2	yes	complemented
146	C₂×C₄×Dic₂₆	C₂²	1	1	yes	characteristic, complemented
147	C₂⁴×D₁₃	C₂³	1	1	yes	characteristic
148	C₂⁴×D₁₃	C₂³	1	1	yes	characteristic
149	C₂²×Q₈×C₁₃	C₂³	1	1	yes	characteristic
150	C₂²×D₄×C₁₃	C₂³	1	1	yes	characteristic
151	C₂³×C₄×C₁₃	C₂³	1	2	yes	—
152	C₂³×C₄×C₁₃	C₂³	1	1	yes	characteristic
153	C₂³×C₄×C₁₃	C₂³	1	1	yes	characteristic
154	C₂²×C₂²⋊D₁₃	C₂³	1	1	yes	characteristic
155	C₂²×C₂²⋊D₁₃	C₂³	1	1	yes	characteristic
156	C₂³×Dic₁₃	C₂³	1	1	yes	characteristic
157	C₂³×Dic₁₃	C₂³	1	2	yes	—
158	C₂³×Dic₁₃	C₂³	1	1	yes	characteristic
159	C₂×Q₈×D₁₃	—	2	8	no	—
160	C₂×Q₈×D₁₃	C₂³	1	8	yes	—
161	C₂×D₄×D₁₃	—	2	8	no	—
162	C₂×D₄×D₁₃	C₂³	1	8	yes	—
163	C₂²×D₅₂	C₂³	1	1	yes	characteristic
164	C₂²×C₄×D₁₃	—	2	16	no	—
165	C₂²×C₄×D₁₃	—	2	8	no	—
166	C₂²×C₄×D₁₃	—	2	8	no	—
167	C₂²×C₄×D₁₃	C₂³	1	1	yes	characteristic
168	C₂²×C₄×D₁₃	C₂³	1	1	yes	characteristic
169	C₂²×C₄×D₁₃	C₂³	1	2	yes	—
170	C₂²×C₄×D₁₃	C₂³	1	2	yes	—
171	C₂²×C₄×D₁₃	C₂³	1	2	yes	—
172	C₂²×C₄×D₁₃	C₂³	1	1	yes	characteristic
173	C₂²×C₄×D₁₃	C₂³	1	1	yes	characteristic
174	C₂²×C₄×D₁₃	C₂³	1	2	yes	—
175	C₂²×C₄×D₁₃	C₂³	1	1	yes	characteristic
176	C₂²×C₄×D₁₃	C₂³	1	1	yes	characteristic
177	C₂²×C₄×D₁₃	C₂³	1	1	yes	characteristic
178	C₂²×C₄×D₁₃	C₂³	1	2	yes	—
179	C₂²×C₄×D₁₃	C₂³	1	1	yes	characteristic
180	C₂²×C₄×D₁₃	C₂³	1	2	yes	—
181	C₂²×C₄×D₁₃	C₂³	1	16	yes	—
182	C₂²×C₄×D₁₃	C₂³	1	8	yes	—
183	C₂²×C₄×D₁₃	C₂³	1	8	yes	—
184	C₂²×C₄×D₁₃	C₂³	1	1	yes	characteristic
185	C₂²×Dic₂₆	C₂³	1	2	yes	—
186	C₂²×Dic₂₆	C₂³	1	1	yes	characteristic
187	C₁₃×#126	C₂³	1	16	yes	complemented
188	C₁₃×#125	C₂³	1	16	yes	complemented
189	C₁₃×#125	C₂³	1	8	yes	complemented
190	C₁₃×#123	C₂³	1	16	yes	—
191	C₁₃×C₂²⋊Q₈	C₂³	1	8	yes	complemented
192	C₁₃×C₂²⋊Q₈	C₂³	1	8	yes	complemented
193	C₄×Q₈×C₁₃	C₂³	1	8	yes	complemented
194	C₄×D₄×C₁₃	C₂³	1	8	yes	—
195	C₁₃×#117	C₂³	1	8	yes	complemented
196	C₁₃×#117	C₂³	1	16	yes	complemented
197	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
198	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
199	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
200	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
201	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
202	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
203	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
204	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
205	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
206	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
207	C₂×C₁₃×C₄⋊C₄	C₂³	1	8	yes	complemented
208	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
209	C₂×C₁₃×C₂²⋊C₄	C₂³	1	2	yes	—
210	C₂×C₁₃×C₂²⋊C₄	C₂³	1	2	yes	—
211	C₂×C₁₃×C₂²⋊C₄	C₂³	1	2	yes	—
212	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
213	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
214	C₂×C₄²×C₁₃	C₂³	1	2	yes	—
215	C₂×C₄²×C₁₃	C₂³	1	2	yes	—
216	C₂×C₂²⋊Dic₁₃	C₂³	1	1	yes	characteristic
217	C₂×C₂²⋊Dic₁₃	C₂³	1	2	yes	—
218	C₂×C₂²⋊Dic₁₃	C₂³	1	2	yes	—
219	C₂×C₂²⋊Dic₁₃	C₂³	1	2	yes	—
220	C₂×C₂²⋊Dic₁₃	C₂³	1	1	yes	characteristic
221	#88200	C₂³	1	8	yes	complemented
222	#88200	C₂³	1	8	yes	complemented
223	Q₈×Dic₁₃	C₂³	1	8	yes	complemented
224	#88189	C₂³	1	16	yes	—
225	D₄×Dic₁₃	C₂³	1	8	yes	—
226	#88183	C₂³	1	16	yes	—
227	C₄×C₂²⋊D₁₃	C₂³	1	8	yes	—
228	C₄×C₂²⋊D₁₃	C₂³	1	8	yes	—
229	C₂×#6103	C₂³	1	1	yes	characteristic
230	C₂×#6103	C₂³	1	1	yes	characteristic
231	C₂×#6103	C₂³	1	2	yes	—
232	C₂×#6103	C₂³	1	2	yes	—
233	C₂×#6103	C₂³	1	2	yes	—
234	C₂×#6103	C₂³	1	2	yes	—
235	C₂×#6103	C₂³	1	1	yes	characteristic
236	C₂×#6103	C₂³	1	2	yes	—
237	C₂×#6103	C₂³	1	1	yes	characteristic
238	C₂×#6103	C₂³	1	2	yes	—
239	#88180	C₂³	1	16	yes	complemented
240	#88180	C₂³	1	8	yes	complemented
241	C₂×C₄⋊Dic₁₃	C₂³	1	2	yes	—
242	C₂×C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic
243	C₂×C₄⋊Dic₁₃	C₂³	1	2	yes	—
244	C₂×C₄⋊Dic₁₃	C₂³	1	2	yes	—
245	C₂×C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic
246	C₂×C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic
247	C₂×C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic
248	C₂×C₄⋊Dic₁₃	C₂³	1	2	yes	—
249	C₂×C₄⋊Dic₁₃	C₂³	1	2	yes	—
250	C₂×C₄⋊Dic₁₃	C₂³	1	2	yes	—
251	C₂×C₄⋊Dic₁₃	C₂³	1	8	yes	complemented
252	#88178	C₂³	1	8	yes	complemented
253	#88178	C₂³	1	8	yes	complemented
254	C₂×#6101	C₂³	1	2	yes	—
255	C₂×#6101	C₂³	1	2	yes	—
256	C₂×#6101	C₂³	1	2	yes	—
257	C₂×#6101	C₂³	1	1	yes	characteristic
258	C₂×#6101	C₂³	1	2	yes	—
259	C₂×#6101	C₂³	1	2	yes	—
260	C₂×#6101	C₂³	1	2	yes	—
261	C₂×#6101	C₂³	1	2	yes	—
262	C₂×#6101	C₂³	1	2	yes	—
263	C₂×#6101	C₂³	1	2	yes	—
264	C₂×#6101	C₂³	1	2	yes	—
265	C₂×#6101	C₂³	1	2	yes	—
266	C₂×#6101	C₂³	1	2	yes	—
267	C₂×#6101	C₂³	1	2	yes	—
268	C₂×#6101	C₂³	1	2	yes	—
269	C₂×#6101	C₂³	1	1	yes	characteristic
270	C₂×#6101	C₂³	1	2	yes	—
271	C₂×#6101	C₂³	1	16	yes	complemented
272	C₂×C₄×Dic₁₃	C₂³	1	2	yes	—
273	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
274	C₂×C₄×Dic₁₃	C₂³	1	2	yes	—
275	C₂×C₄×Dic₁₃	C₂³	1	2	yes	—
276	C₂×C₄×Dic₁₃	C₂³	1	2	yes	—
277	C₂×C₄×Dic₁₃	C₂³	1	2	yes	—
278	C₂×C₄×Dic₁₃	C₂³	1	2	yes	—
279	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
280	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
281	#88152	C₂³	1	16	yes	complemented
282	#88152	C₂³	1	16	yes	complemented
283	#88152	C₂³	1	16	yes	complemented
284	#88151	C₂³	1	8	yes	complemented
285	#88151	C₂³	1	8	yes	complemented
286	#88150	C₂³	1	16	yes	complemented
287	#88150	C₂³	1	16	yes	complemented
288	#88148	C₂³	1	16	yes	—
289	#88148	C₂³	1	16	yes	—
290	#88147	C₂³	1	8	yes	—
291	#88146	C₂³	1	8	yes	complemented
292	#88146	C₂³	1	16	yes	complemented
293	#88146	C₂³	1	8	yes	complemented
294	#88146	C₂³	1	16	yes	complemented
295	C₄⋊C₄×D₁₃	C₂³	1	8	yes	—
296	C₄⋊C₄×D₁₃	C₂³	1	8	yes	—
297	C₄⋊C₄×D₁₃	C₂³	1	16	yes	—
298	C₄⋊C₄×D₁₃	C₂³	1	16	yes	—
299	C₄⋊C₄×D₁₃	C₂³	1	8	yes	—
300	C₄⋊C₄×D₁₃	C₂³	1	16	yes	—
301	C₄⋊C₄×D₁₃	C₂³	1	8	yes	—
302	C₄⋊C₄×D₁₃	C₂³	1	16	yes	—
303	C₄⋊C₄×D₁₃	C₂³	1	16	yes	—
304	C₄⋊C₄×D₁₃	C₂³	1	16	yes	—
305	C₄⋊C₄×D₁₃	C₂³	1	8	yes	complemented
306	C₄⋊C₄×D₁₃	C₂³	1	8	yes	complemented
307	C₄⋊C₄×D₁₃	C₂³	1	16	yes	complemented
308	#88144	C₂³	1	8	yes	complemented
309	#88144	C₂³	1	8	yes	complemented
310	#88144	C₂³	1	16	yes	complemented
311	#88144	C₂³	1	16	yes	complemented
312	#88143	C₂³	1	16	yes	complemented
313	#88143	C₂³	1	16	yes	complemented
314	#88143	C₂³	1	16	yes	complemented
315	#88143	C₂³	1	16	yes	complemented
316	#88143	C₂³	1	16	yes	complemented
317	#88143	C₂³	1	16	yes	complemented
318	#88141	C₂³	1	8	yes	complemented
319	#88141	C₂³	1	16	yes	complemented
320	#88140	C₂³	1	16	yes	—
321	#88137	C₂³	1	16	yes	—
322	#88137	C₂³	1	16	yes	—
323	#88135	C₂³	1	8	yes	—
324	#88135	C₂³	1	8	yes	—
325	C₂²⋊C₄×D₁₃	C₂³	1	8	yes	—
326	C₂²⋊C₄×D₁₃	C₂³	1	16	yes	—
327	C₂²⋊C₄×D₁₃	C₂³	1	16	yes	—
328	C₂²⋊C₄×D₁₃	C₂³	1	8	yes	—
329	C₂²⋊C₄×D₁₃	C₂³	1	16	yes	—
330	#88133	C₂³	1	16	yes	complemented
331	#88133	C₂³	1	16	yes	complemented
332	#88133	C₂³	1	16	yes	complemented
333	#88132	C₂³	1	16	yes	complemented
334	#88132	C₂³	1	16	yes	complemented
335	#88131	C₂³	1	16	yes	complemented
336	#88131	C₂³	1	16	yes	complemented
337	#88131	C₂³	1	16	yes	complemented
338	#88130	C₂³	1	16	yes	complemented
339	C₄×D₅₂	C₂³	1	8	yes	—
340	#88126	C₂³	1	16	yes	complemented
341	#88126	C₂³	1	16	yes	complemented
342	#88126	C₂³	1	16	yes	complemented
343	C₄²×D₁₃	C₂³	1	16	yes	—
344	C₄²×D₁₃	C₂³	1	16	yes	—
345	C₄²×D₁₃	C₂³	1	8	yes	—
346	#88124	C₂³	1	16	yes	complemented
347	#88124	C₂³	1	8	yes	complemented
348	C₄×Dic₂₆	C₂³	1	16	yes	complemented
349	C₄×Dic₂₆	C₂³	1	8	yes	complemented
350	C₂²×#552	—	13	1	no	maximal, Sylow
351	C₂⁴×C₁₃	C₂⁴	1	1	yes	characteristic
352	C₂⁴×C₁₃	C₂⁴	1	1	yes	characteristic
353	C₂³×D₁₃	—	2	4	no	—
354	C₂³×D₁₃	—	2	4	no	—
355	C₂³×D₁₃	—	2	4	no	—
356	C₂³×D₁₃	—	2	4	no	—
357	C₂³×D₁₃	—	2	4	no	—
358	C₂³×D₁₃	#41	1	8	yes	—
359	C₂³×D₁₃	C₂⁴	1	4	yes	—
360	C₂³×D₁₃	C₂⁴	1	1	yes	characteristic
361	C₂³×D₁₃	C₂⁴	1	4	yes	—
362	C₂³×D₁₃	C₂⁴	1	1	yes	characteristic
363	C₂³×D₁₃	C₂⁴	1	1	yes	characteristic
364	C₂×Q₈×C₁₃	—	2	4	no	—
365	C₂×Q₈×C₁₃	C₂⁴	1	4	yes	—
366	C₂×D₄×C₁₃	—	2	4	no	—
367	C₂×D₄×C₁₃	C₂⁴	1	4	yes	—
368	C₂²×C₄×C₁₃	—	2	8	no	—
369	C₂²×C₄×C₁₃	—	2	4	no	—
370	C₂²×C₄×C₁₃	—	2	4	no	—
371	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
372	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
373	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
374	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
375	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
376	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
377	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
378	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
379	C₂²×C₄×C₁₃	C₂⁴	1	8	yes	—
380	C₂²×C₄×C₁₃	C₂⁴	1	4	yes	—
381	C₂²×C₄×C₁₃	C₂⁴	1	4	yes	—
382	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
383	C₂×C₂²⋊D₁₃	—	2	4	no	—
384	C₂×C₂²⋊D₁₃	—	2	4	no	—
385	C₂×C₂²⋊D₁₃	C₂⁴	1	4	yes	—
386	C₂×C₂²⋊D₁₃	C₂⁴	1	4	yes	—
387	C₂²×Dic₁₃	—	2	8	no	—
388	C₂²×Dic₁₃	—	2	4	no	—
389	C₂²×Dic₁₃	—	2	4	no	—
390	C₂²×Dic₁₃	C₂⁴	1	4	yes	—
391	C₂²×Dic₁₃	C₂⁴	1	8	yes	—
392	C₂²×Dic₁₃	C₂⁴	1	4	yes	—
393	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
394	C₂²×Dic₁₃	C₂⁴	1	2	yes	—
395	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
396	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
397	C₂²×Dic₁₃	C₂⁴	1	2	yes	—
398	C₂²×Dic₁₃	C₂⁴	1	2	yes	—
399	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
400	C₂²×Dic₁₃	C₂⁴	1	2	yes	—
401	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
402	Q₈×D₁₃	—	2	32	no	—
403	D₄×D₁₃	—	2	32	no	—
404	C₂×D₅₂	—	2	4	no	—
405	C₂×D₅₂	C₂⁴	1	4	yes	—
406	C₂×C₄×D₁₃	—	2	8	no	—
407	C₂×C₄×D₁₃	—	2	8	no	—
408	C₂×C₄×D₁₃	—	2	64	no	—
409	C₂×C₄×D₁₃	—	2	8	no	—
410	C₂×C₄×D₁₃	—	2	8	no	—
411	C₂×C₄×D₁₃	—	2	4	no	—
412	C₂×C₄×D₁₃	—	2	4	no	—
413	C₂×C₄×D₁₃	—	2	4	no	—
414	C₂×C₄×D₁₃	—	2	8	no	—
415	C₂×C₄×D₁₃	—	2	4	no	—
416	C₂×C₄×D₁₃	—	2	8	no	—
417	C₂×C₄×D₁₃	—	2	4	no	—
418	C₂×C₄×D₁₃	—	2	4	no	—
419	C₂×C₄×D₁₃	—	2	4	no	—
420	C₂×C₄×D₁₃	—	2	4	no	—
421	C₂×C₄×D₁₃	—	2	32	no	—
422	C₂×C₄×D₁₃	—	2	32	no	—
423	C₂×C₄×D₁₃	#41	1	8	yes	—
424	C₂×C₄×D₁₃	C₂⁴	1	4	yes	—
425	C₂×C₄×D₁₃	C₂⁴	1	4	yes	—
426	C₂×C₄×D₁₃	C₂⁴	1	8	yes	—
427	C₂×C₄×D₁₃	C₂⁴	1	8	yes	—
428	C₂×C₄×D₁₃	C₂⁴	1	8	yes	—
429	C₂×C₄×D₁₃	C₂⁴	1	4	yes	—
430	C₂×C₄×D₁₃	C₂⁴	1	4	yes	—
431	C₂×C₄×D₁₃	C₂⁴	1	8	yes	—
432	C₂×C₄×D₁₃	C₂⁴	1	4	yes	—
433	C₂×C₄×D₁₃	C₂⁴	1	4	yes	—
434	C₂×C₄×D₁₃	C₂⁴	1	4	yes	—
435	C₂×C₄×D₁₃	C₂⁴	1	8	yes	—
436	C₂×C₄×D₁₃	C₂⁴	1	4	yes	—
437	C₂×C₄×D₁₃	C₂⁴	1	8	yes	—
438	C₂×C₄×D₁₃	C₂⁴	1	4	yes	—
439	C₂×Dic₂₆	—	2	4	no	—
440	C₂×Dic₂₆	—	2	8	no	—
441	C₂×Dic₂₆	C₂⁴	1	8	yes	—
442	C₂×Dic₂₆	C₂⁴	1	4	yes	—
443	C₁₃×C₄⋊C₄	C₂⁴	1	8	yes	—
444	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
445	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
446	C₁₃×C₄⋊C₄	C₂⁴	1	8	yes	—
447	C₁₃×C₄⋊C₄	C₂⁴	1	8	yes	—
448	C₁₃×C₄⋊C₄	C₂⁴	1	8	yes	—
449	C₁₃×C₄⋊C₄	C₂⁴	1	8	yes	—
450	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
451	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
452	C₁₃×C₄⋊C₄	C₂⁴	1	8	yes	—
453	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
454	C₁₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
455	C₁₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
456	C₁₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
457	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
458	C₄²×C₁₃	C₂⁴	1	4	yes	—
459	C₄²×C₁₃	C₂⁴	1	8	yes	—
460	C₄²×C₁₃	C₂⁴	1	8	yes	—
461	C₂²⋊Dic₁₃	C₂⁴	1	4	yes	—
462	C₂²⋊Dic₁₃	C₂⁴	1	8	yes	—
463	C₂²⋊Dic₁₃	C₂⁴	1	8	yes	—
464	C₂²⋊Dic₁₃	C₂⁴	1	8	yes	—
465	C₂²⋊Dic₁₃	C₂⁴	1	4	yes	—
466	#6103	C₂⁴	1	4	yes	—
467	#6103	C₂⁴	1	4	yes	—
468	#6103	C₂⁴	1	8	yes	—
469	#6103	C₂⁴	1	8	yes	—
470	#6103	C₂⁴	1	8	yes	—
471	#6103	C₂⁴	1	8	yes	—
472	#6103	C₂⁴	1	4	yes	—
473	#6103	C₂⁴	1	8	yes	—
474	#6103	C₂⁴	1	4	yes	—
475	#6103	C₂⁴	1	8	yes	—
476	C₄⋊Dic₁₃	C₂⁴	1	8	yes	—
477	C₄⋊Dic₁₃	C₂⁴	1	4	yes	—
478	C₄⋊Dic₁₃	C₂⁴	1	8	yes	—
479	C₄⋊Dic₁₃	C₂⁴	1	8	yes	—
480	C₄⋊Dic₁₃	C₂⁴	1	4	yes	—
481	C₄⋊Dic₁₃	C₂⁴	1	4	yes	—
482	C₄⋊Dic₁₃	C₂⁴	1	4	yes	—
483	C₄⋊Dic₁₃	C₂⁴	1	8	yes	—
484	C₄⋊Dic₁₃	C₂⁴	1	8	yes	—
485	C₄⋊Dic₁₃	C₂⁴	1	8	yes	—
486	#6101	C₂⁴	1	8	yes	—
487	#6101	C₂⁴	1	8	yes	—
488	#6101	C₂⁴	1	8	yes	—
489	#6101	C₂⁴	1	4	yes	—
490	#6101	C₂⁴	1	8	yes	—
491	#6101	C₂⁴	1	8	yes	—
492	#6101	C₂⁴	1	8	yes	—
493	#6101	C₂⁴	1	8	yes	—
494	#6101	C₂⁴	1	8	yes	—
495	#6101	C₂⁴	1	8	yes	—
496	#6101	C₂⁴	1	8	yes	—
497	#6101	C₂⁴	1	8	yes	—
498	#6101	C₂⁴	1	8	yes	—
499	#6101	C₂⁴	1	8	yes	—
500	#6101	C₂⁴	1	8	yes	—
501	#6101	C₂⁴	1	4	yes	—
502	#6101	C₂⁴	1	8	yes	—
503	C₄×Dic₁₃	C₂⁴	1	8	yes	—
504	C₄×Dic₁₃	C₂⁴	1	4	yes	—
505	C₄×Dic₁₃	C₂⁴	1	8	yes	—
506	C₄×Dic₁₃	C₂⁴	1	8	yes	—
507	C₄×Dic₁₃	C₂⁴	1	8	yes	—
508	C₄×Dic₁₃	C₂⁴	1	8	yes	—
509	C₄×Dic₁₃	C₂⁴	1	8	yes	—
510	C₄×Dic₁₃	C₂⁴	1	4	yes	—
511	C₄×Dic₁₃	C₂⁴	1	4	yes	—
512	C₂×#552	—	13	32	no	—
513	C₂×#552	—	13	2	no	—
514	C₂×#552	—	13	2	no	—
515	C₂×#552	—	13	1	no	—
516	C₂×#552	—	13	2	no	—
517	C₂×#552	—	13	1	no	—
518	C₂×#552	—	13	1	no	—
519	C₂×#552	—	13	1	no	—
520	C₂×#552	—	13	1	no	—
521	C₂×#552	—	13	2	no	—
522	C₂×#552	—	13	1	no	—
523	C₂×#552	—	13	1	no	—
524	C₂×#552	D₁₃	1	1	yes	characteristic, direct product factor
525	C₂²×#126	—	13	2	no	—
526	C₂²×#125	—	13	1	no	—
527	C₂²×#125	—	13	2	no	—
528	C₂²×#123	—	13	2	no	—
529	C₂²×C₂²⋊Q₈	—	13	1	no	—
530	C₂²×C₂²⋊Q₈	—	13	1	no	—
531	C₂²×C₄×Q₈	—	13	1	no	—
532	C₂²×C₄×D₄	—	13	1	no	—
533	C₂²×#117	—	13	2	no	—
534	C₂²×#117	—	13	1	no	—
535	C₂³×C₄⋊C₄	—	13	1	no	—
536	C₂³×C₁₃	—	2	2	no	—
537	C₂³×C₁₃	—	2	2	no	—
538	C₂³×C₁₃	—	2	2	no	—
539	C₂³×C₁₃	—	2	2	no	—
540	C₂³×C₁₃	—	2	2	no	—
541	C₂³×C₁₃	C₂×#41	1	4	yes	—
542	C₂³×C₁₃	C₂⁵	1	2	yes	—
543	C₂³×C₁₃	C₂⁵	1	2	yes	—
544	C₂³×C₁₃	C₂⁵	1	1	yes	characteristic
545	C₂²×D₁₃	—	2	2	no	—
546	C₂²×D₁₃	—	2	2	no	—
547	C₂²×D₁₃	—	2	32	no	—
548	C₂²×D₁₃	—	2	8	no	—
549	C₂²×D₁₃	—	2	8	no	—
550	C₂²×D₁₃	—	2	2	no	—
551	C₂²×D₁₃	—	2	2	no	—
552	C₂²×D₁₃	—	2	2	no	—
553	C₂²×D₁₃	—	2	8	no	—
554	C₂²×D₁₃	—	2	8	no	—
555	C₂²×D₁₃	—	2	8	no	—
556	C₂²×D₁₃	—	4	16	no	—
557	C₂²×D₁₃	C₂×#41	1	4	yes	—
558	C₂²×D₁₃	C₂×#41	1	16	yes	—
559	C₂²×D₁₃	C₂×#41	1	4	yes	—
560	C₂²×D₁₃	C₂×#41	1	4	yes	—
561	C₂²×D₁₃	2₋¹⁺⁴	1	4	yes	—
562	C₂²×D₁₃	C₂⁵	1	2	yes	—
563	C₂²×D₁₃	C₂⁵	1	2	yes	—
564	C₂²×D₁₃	C₂⁵	1	2	yes	—
565	Q₈×C₁₃	—	2	8	no	—
566	D₄×C₁₃	—	2	8	no	—
567	C₂×C₄×C₁₃	—	2	4	no	—
568	C₂×C₄×C₁₃	—	2	16	no	—
569	C₂×C₄×C₁₃	—	2	4	no	—
570	C₂×C₄×C₁₃	—	2	4	no	—
571	C₂×C₄×C₁₃	—	2	2	no	—
572	C₂×C₄×C₁₃	—	2	2	no	—
573	C₂×C₄×C₁₃	—	2	2	no	—
574	C₂×C₄×C₁₃	—	2	2	no	—
575	C₂×C₄×C₁₃	—	2	4	no	—
576	C₂×C₄×C₁₃	—	2	8	no	—
577	C₂×C₄×C₁₃	—	2	8	no	—
578	C₂×C₄×C₁₃	C₂×#41	1	4	yes	—
579	C₂×C₄×C₁₃	C₂⁵	1	2	yes	—
580	C₂×C₄×C₁₃	C₂⁵	1	2	yes	—
581	C₂×C₄×C₁₃	C₂⁵	1	4	yes	—
582	C₂×C₄×C₁₃	C₂⁵	1	2	yes	—
583	C₂×C₄×C₁₃	C₂⁵	1	4	yes	—
584	C₂×C₄×C₁₃	C₂⁵	1	4	yes	—
585	C₂×C₄×C₁₃	C₂⁵	1	4	yes	—
586	C₂×C₄×C₁₃	C₂⁵	1	2	yes	—
587	C₂×C₄×C₁₃	C₂⁵	1	2	yes	—
588	C₂²⋊D₁₃	—	2	8	no	—
589	C₂²⋊D₁₃	—	2	8	no	—
590	C₂×Dic₁₃	—	2	4	no	—
591	C₂×Dic₁₃	—	2	16	no	—
592	C₂×Dic₁₃	—	2	4	no	—
593	C₂×Dic₁₃	—	2	4	no	—
594	C₂×Dic₁₃	—	2	2	no	—
595	C₂×Dic₁₃	—	2	2	no	—
596	C₂×Dic₁₃	—	2	2	no	—
597	C₂×Dic₁₃	—	2	2	no	—
598	C₂×Dic₁₃	—	2	4	no	—
599	C₂×Dic₁₃	—	2	8	no	—
600	C₂×Dic₁₃	—	2	8	no	—
601	C₂×Dic₁₃	C₂×#41	1	4	yes	—
602	C₂×Dic₁₃	C₂⁵	1	2	yes	—
603	C₂×Dic₁₃	C₂⁵	1	4	yes	—
604	C₂×Dic₁₃	C₂⁵	1	2	yes	—
605	C₂×Dic₁₃	C₂⁵	1	2	yes	—
606	C₂×Dic₁₃	C₂⁵	1	4	yes	—
607	C₂×Dic₁₃	C₂⁵	1	4	yes	—
608	C₂×Dic₁₃	C₂⁵	1	2	yes	—
609	C₂×Dic₁₃	C₂⁵	1	4	yes	—
610	C₂×Dic₁₃	C₂⁵	1	2	yes	—
611	D₅₂	—	2	8	no	—
612	C₄×D₁₃	—	2	16	no	—
613	C₄×D₁₃	—	2	16	no	—
614	C₄×D₁₃	—	2	16	no	—
615	C₄×D₁₃	—	2	16	no	—
616	C₄×D₁₃	—	2	8	no	—
617	C₄×D₁₃	—	2	8	no	—
618	C₄×D₁₃	—	2	8	no	—
619	C₄×D₁₃	—	2	16	no	—
620	C₄×D₁₃	—	2	8	no	—
621	C₄×D₁₃	—	2	16	no	—
622	C₄×D₁₃	—	2	8	no	—
623	C₄×D₁₃	—	2	8	no	—
624	C₄×D₁₃	—	2	8	no	—
625	C₄×D₁₃	—	2	8	no	—
626	C₄×D₁₃	C₂×#41	1	16	yes	—
627	Dic₂₆	—	2	8	no	—
628	Dic₂₆	—	2	16	no	—
629	C₂³×Q₈	—	13	1	no	—
630	C₂³×D₄	—	13	1	no	—
631	C₂⁴×C₄	—	13	2	no	—
632	C₂⁴×C₄	—	13	1	no	—
633	C₂⁴×C₄	—	13	1	no	—
634	#552	—	13	32	no	—
635	#552	—	13	32	no	—
636	#552	—	13	16	no	—
637	#552	—	13	32	no	—
638	#552	—	13	16	no	—
639	#552	—	13	16	no	—
640	#552	—	13	16	no	—
641	#552	—	13	16	no	—
642	#552	—	13	16	no	—
643	#552	—	13	32	no	—
644	#552	—	13	16	no	—
645	#552	C₂×D₁₃	1	16	yes	direct product factor
646	C₂×#126	—	13	32	no	—
647	C₂×#126	—	13	2	no	—
648	C₂×#126	—	13	2	no	—
649	C₂×#126	—	13	2	no	—
650	C₂×#126	—	13	2	no	—
651	C₂×#126	—	13	2	no	—
652	C₂×#126	—	13	2	no	—
653	C₂×#126	—	13	2	no	—
654	C₂×#126	C₂×D₁₃	1	2	yes	complemented
655	C₂×#125	—	13	32	no	—
656	C₂×#125	—	13	16	no	—
657	C₂×#125	—	13	2	no	—
658	C₂×#125	—	13	2	no	—
659	C₂×#125	—	13	2	no	—
660	C₂×#125	—	13	2	no	—
661	C₂×#125	—	13	2	no	—
662	C₂×#125	—	13	2	no	—
663	C₂×#125	—	13	2	no	—
664	C₂×#125	—	13	2	no	—
665	C₂×#125	—	13	1	no	—
666	C₂×#125	—	13	1	no	—
667	C₂×#125	—	13	2	no	—
668	C₂×#125	—	13	1	no	—
669	C₂×#125	C₂×D₁₃	1	2	yes	complemented
670	C₂×#125	C₂×D₁₃	1	1	yes	characteristic, complemented
671	C₂×#123	—	13	2	no	—
672	C₂×#123	—	13	2	no	—
673	C₂×#123	—	13	32	no	—
674	C₂×#123	—	13	2	no	—
675	C₂×#123	—	13	2	no	—
676	C₂×#123	—	13	2	no	—
677	C₂×#123	—	13	2	no	—
678	C₂×#123	—	13	2	no	—
679	C₂×#123	C₂×D₁₃	1	2	yes	—
680	C₂×C₂²⋊Q₈	—	13	1	no	—
681	C₂×C₂²⋊Q₈	—	13	1	no	—
682	C₂×C₂²⋊Q₈	—	13	1	no	—
683	C₂×C₂²⋊Q₈	—	13	1	no	—
684	C₂×C₂²⋊Q₈	—	13	16	no	—
685	C₂×C₂²⋊Q₈	—	13	16	no	—
686	C₂×C₂²⋊Q₈	—	13	2	no	—
687	C₂×C₂²⋊Q₈	—	13	2	no	—
688	C₂×C₂²⋊Q₈	—	13	1	no	—
689	C₂×C₂²⋊Q₈	—	13	1	no	—
690	C₂×C₂²⋊Q₈	—	13	2	no	—
691	C₂×C₂²⋊Q₈	—	13	2	no	—
692	C₂×C₂²⋊Q₈	C₂×D₁₃	1	1	yes	characteristic, complemented
693	C₂×C₂²⋊Q₈	C₂×D₁₃	1	1	yes	characteristic, complemented
694	C₂×C₄×Q₈	—	13	1	no	—
695	C₂×C₄×Q₈	—	13	16	no	—
696	C₂×C₄×Q₈	—	13	2	no	—
697	C₂×C₄×Q₈	—	13	1	no	—
698	C₂×C₄×Q₈	—	13	1	no	—
699	C₂×C₄×Q₈	—	13	2	no	—
700	C₂×C₄×Q₈	C₂×D₁₃	1	1	yes	characteristic, complemented
701	C₂×C₄×D₄	—	13	1	no	—
702	C₂×C₄×D₄	—	13	1	no	—
703	C₂×C₄×D₄	—	13	1	no	—
704	C₂×C₄×D₄	—	13	16	no	—
705	C₂×C₄×D₄	—	13	1	no	—
706	C₂×C₄×D₄	—	13	1	no	—
707	C₂×C₄×D₄	—	13	1	no	—
708	C₂×C₄×D₄	—	13	1	no	—
709	C₂×C₄×D₄	C₂×D₁₃	1	1	yes	characteristic
710	C₂×#117	—	13	1	no	—
711	C₂×#117	—	13	2	no	—
712	C₂×#117	—	13	16	no	—
713	C₂×#117	—	13	32	no	—
714	C₂×#117	—	13	1	no	—
715	C₂×#117	—	13	1	no	—
716	C₂×#117	—	13	2	no	—
717	C₂×#117	—	13	2	no	—
718	C₂×#117	—	13	2	no	—
719	C₂×#117	—	13	2	no	—
720	C₂×#117	—	13	2	no	—
721	C₂×#117	—	13	2	no	—
722	C₂×#117	—	13	2	no	—
723	C₂×#117	—	13	2	no	—
724	C₂×#117	C₂×D₁₃	1	1	yes	characteristic, complemented
725	C₂×#117	C₂×D₁₃	1	2	yes	complemented
726	C₂²×C₄⋊C₄	—	13	2	no	—
727	C₂²×C₄⋊C₄	—	13	1	no	—
728	C₂²×C₄⋊C₄	—	13	1	no	—
729	C₂²×C₄⋊C₄	—	13	1	no	—
730	C₂²×C₄⋊C₄	—	13	2	no	—
731	C₂²×C₄⋊C₄	—	13	1	no	—
732	C₂²×C₄⋊C₄	—	13	2	no	—
733	C₂²×C₄⋊C₄	—	13	2	no	—
734	C₂²×C₄⋊C₄	—	13	1	no	—
735	C₂²×C₄⋊C₄	—	13	2	no	—
736	C₂²×C₄⋊C₄	—	13	2	no	—
737	C₂²×C₄⋊C₄	—	13	2	no	—
738	C₂²×C₄⋊C₄	—	13	2	no	—
739	C₂²×C₄⋊C₄	—	13	1	no	—
740	C₂²×C₄⋊C₄	—	13	1	no	—
741	C₂²×C₄⋊C₄	—	13	16	no	—
742	C₂²×C₄⋊C₄	C₂×D₁₃	1	1	yes	characteristic, complemented
743	C₂²×C₂²⋊C₄	—	13	1	no	—
744	C₂²×C₂²⋊C₄	—	13	2	no	—
745	C₂²×C₂²⋊C₄	—	13	2	no	—
746	C₂²×C₂²⋊C₄	—	13	1	no	—
747	C₂²×C₂²⋊C₄	—	13	2	no	—
748	C₂²×C₄²	—	13	2	no	—
749	C₂²×C₄²	—	13	2	no	—
750	C₂²×C₄²	—	13	1	no	—
751	C₂²×C₁₃	—	2	2	no	—
752	C₂²×C₁₃	—	2	2	no	—
753	C₂²×C₁₃	—	2	8	no	—
754	C₂²×C₁₃	—	2	2	no	—
755	C₂²×C₁₃	—	2	2	no	—
756	C₂²×C₁₃	—	2	2	no	—
757	C₂²×C₁₃	—	4	4	no	—
758	C₂²×C₁₃	C₂²×#41	1	4	yes	—
759	C₂²×C₁₃	C₂²×#41	1	2	yes	—
760	C₂²×C₁₃	C₂²×#41	1	2	yes	—
761	C₂²×C₁₃	C₂×2₋¹⁺⁴	1	2	yes	—
762	C₂²×C₁₃	C₂⁶	1	1	yes	characteristic
763	C₂×D₁₃	—	2	2	no	—
764	C₂×D₁₃	—	2	2	no	—
765	C₂×D₁₃	—	2	8	no	—
766	C₂×D₁₃	—	2	32	no	—
767	C₂×D₁₃	—	2	2	no	—
768	C₂×D₁₃	—	2	2	no	—
769	C₂×D₁₃	—	2	2	no	—
770	C₂×D₁₃	—	4	4	no	—
771	C₂×D₁₃	—	4	16	no	—
772	C₂×D₁₃	#552	1	16	yes	direct product factor
773	C₂×D₁₃	C₂²×#41	1	4	yes	—
774	C₂×D₁₃	C₂²×#41	1	4	yes	—
775	C₂×D₁₃	C₂²×#41	1	4	yes	—
776	C₂×D₁₃	C₂×2₋¹⁺⁴	1	4	yes	—
777	C₄×C₁₃	—	2	4	no	—
778	C₄×C₁₃	—	2	4	no	—
779	C₄×C₁₃	—	2	4	no	—
780	C₄×C₁₃	—	2	2	no	—
781	C₄×C₁₃	—	2	2	no	—
782	C₄×C₁₃	—	2	2	no	—
783	C₄×C₁₃	—	2	2	no	—
784	C₄×C₁₃	—	2	4	no	—
785	C₄×C₁₃	C₂²×#41	1	4	yes	—
786	Dic₁₃	—	2	4	no	—
787	Dic₁₃	—	2	4	no	—
788	Dic₁₃	—	2	4	no	—
789	Dic₁₃	—	2	2	no	—
790	Dic₁₃	—	2	2	no	—
791	Dic₁₃	—	2	2	no	—
792	Dic₁₃	—	2	2	no	—
793	Dic₁₃	—	2	4	no	—
794	Dic₁₃	C₂²×#41	1	4	yes	—
795	C₂⁵	—	13	1	no	—
796	C₂⁵	—	13	1	no	—
797	C₂²×Q₈	—	13	8	no	—
798	C₂²×Q₈	—	13	2	no	—
799	C₂²×Q₈	—	13	1	no	—
800	C₂²×Q₈	—	26	8	no	—
801	C₂²×Q₈	C₂²×D₁₃	1	1	yes	characteristic
802	C₂²×D₄	—	13	1	no	—
803	C₂²×D₄	—	13	1	no	—
804	C₂²×D₄	—	13	8	no	—
805	C₂²×D₄	—	13	1	no	—
806	C₂²×D₄	—	26	8	no	—
807	C₂²×D₄	C₂²×D₁₃	1	1	yes	characteristic
808	C₂³×C₄	—	13	1	no	—
809	C₂³×C₄	—	13	2	no	—
810	C₂³×C₄	—	13	1	no	—
811	C₂³×C₄	—	13	1	no	—
812	C₂³×C₄	—	13	2	no	—
813	C₂³×C₄	—	13	2	no	—
814	C₂³×C₄	—	13	1	no	—
815	C₂³×C₄	—	13	1	no	—
816	C₂³×C₄	—	13	2	no	—
817	C₂³×C₄	—	13	1	no	—
818	C₂³×C₄	—	13	2	no	—
819	C₂³×C₄	—	13	1	no	—
820	C₂³×C₄	—	13	16	no	—
821	C₂³×C₄	—	13	2	no	—
822	C₂³×C₄	—	13	2	no	—
823	C₂³×C₄	—	13	1	no	—
824	C₂³×C₄	—	13	8	no	—
825	C₂³×C₄	—	13	1	no	—
826	C₂³×C₄	—	13	1	no	—
827	C₂³×C₄	—	13	8	no	—
828	C₂³×C₄	—	13	1	no	—
829	C₂³×C₄	—	26	8	no	—
830	C₂³×C₄	—	26	8	no	—
831	C₂³×C₄	—	26	16	no	—
832	C₂³×C₄	C₂²×D₁₃	1	2	yes	—
833	C₂³×C₄	C₂²×D₁₃	1	1	yes	characteristic
834	C₂³×C₄	C₂²×D₁₃	1	1	yes	characteristic
835	#126	—	13	16	no	—
836	#126	—	13	16	no	—
837	#126	—	13	16	no	—
838	#126	—	13	16	no	—
839	#126	—	13	16	no	—
840	#126	—	13	16	no	—
841	#126	—	13	16	no	—
842	#126	C₂²×D₁₃	1	16	yes	complemented
843	#125	—	13	16	no	—
844	#125	—	13	16	no	—
845	#125	—	13	16	no	—
846	#125	—	13	16	no	—
847	#125	—	13	16	no	—
848	#125	—	13	16	no	—
849	#125	—	13	16	no	—
850	#125	—	13	16	no	—
851	#125	—	13	8	no	—
852	#125	—	13	8	no	—
853	#125	—	13	16	no	—
854	#125	—	13	8	no	—
855	#125	C₂²×D₁₃	1	16	yes	complemented
856	#125	C₂²×D₁₃	1	8	yes	complemented
857	#123	—	13	16	no	—
858	#123	—	13	16	no	—
859	#123	—	13	16	no	—
860	#123	—	13	16	no	—
861	#123	—	13	16	no	—
862	#123	—	13	16	no	—
863	#123	—	13	16	no	—
864	#123	C₂²×D₁₃	1	16	yes	—
865	C₂²⋊Q₈	—	13	8	no	—
866	C₂²⋊Q₈	—	13	8	no	—
867	C₂²⋊Q₈	—	13	8	no	—
868	C₂²⋊Q₈	—	13	8	no	—
869	C₂²⋊Q₈	—	13	16	no	—
870	C₂²⋊Q₈	—	13	16	no	—
871	C₂²⋊Q₈	—	13	8	no	—
872	C₂²⋊Q₈	—	13	8	no	—
873	C₂²⋊Q₈	—	13	16	no	—
874	C₂²⋊Q₈	—	13	16	no	—
875	C₂²⋊Q₈	C₂²×D₁₃	1	8	yes	complemented
876	C₂²⋊Q₈	C₂²×D₁₃	1	8	yes	complemented
877	C₄×Q₈	—	13	8	no	—
878	C₄×Q₈	—	13	16	no	—
879	C₄×Q₈	—	13	8	no	—
880	C₄×Q₈	—	13	8	no	—
881	C₄×Q₈	—	13	16	no	—
882	C₄×Q₈	C₂²×D₁₃	1	8	yes	complemented
883	C₄×D₄	—	13	8	no	—
884	C₄×D₄	—	13	8	no	—
885	C₄×D₄	—	13	8	no	—
886	C₄×D₄	—	13	8	no	—
887	C₄×D₄	—	13	8	no	—
888	C₄×D₄	—	13	8	no	—
889	C₄×D₄	—	13	8	no	—
890	C₄×D₄	C₂²×D₁₃	1	8	yes	—
891	#117	—	13	8	no	—
892	#117	—	13	16	no	—
893	#117	—	13	8	no	—
894	#117	—	13	8	no	—
895	#117	—	13	16	no	—
896	#117	—	13	16	no	—
897	#117	—	13	16	no	—
898	#117	—	13	16	no	—
899	#117	—	13	16	no	—
900	#117	—	13	16	no	—
901	#117	—	13	16	no	—
902	#117	—	13	16	no	—
903	#117	C₂²×D₁₃	1	8	yes	complemented
904	#117	C₂²×D₁₃	1	16	yes	complemented
905	C₂×C₄⋊C₄	—	13	2	no	—
906	C₂×C₄⋊C₄	—	13	1	no	—
907	C₂×C₄⋊C₄	—	13	2	no	—
908	C₂×C₄⋊C₄	—	13	1	no	—
909	C₂×C₄⋊C₄	—	13	2	no	—
910	C₂×C₄⋊C₄	—	13	2	no	—
911	C₂×C₄⋊C₄	—	13	2	no	—
912	C₂×C₄⋊C₄	—	13	16	no	—
913	C₂×C₄⋊C₄	—	13	8	no	—
914	C₂×C₄⋊C₄	—	13	2	no	—
915	C₂×C₄⋊C₄	—	13	2	no	—
916	C₂×C₄⋊C₄	—	13	2	no	—
917	C₂×C₄⋊C₄	—	13	2	no	—
918	C₂×C₄⋊C₄	—	13	1	no	—
919	C₂×C₄⋊C₄	—	13	2	no	—
920	C₂×C₄⋊C₄	—	13	2	no	—
921	C₂×C₄⋊C₄	—	13	2	no	—
922	C₂×C₄⋊C₄	—	13	1	no	—
923	C₂×C₄⋊C₄	—	13	1	no	—
924	C₂×C₄⋊C₄	—	13	1	no	—
925	C₂×C₄⋊C₄	—	13	2	no	—
926	C₂×C₄⋊C₄	—	13	2	no	—
927	C₂×C₄⋊C₄	—	13	2	no	—
928	C₂×C₄⋊C₄	—	13	2	no	—
929	C₂×C₄⋊C₄	—	13	2	no	—
930	C₂×C₄⋊C₄	—	13	2	no	—
931	C₂×C₄⋊C₄	—	13	2	no	—
932	C₂×C₄⋊C₄	—	13	2	no	—
933	C₂×C₄⋊C₄	—	13	2	no	—
934	C₂×C₄⋊C₄	—	13	8	no	—
935	C₂×C₄⋊C₄	—	13	8	no	—
936	C₂×C₄⋊C₄	—	13	16	no	—
937	C₂×C₄⋊C₄	—	13	16	no	—
938	C₂×C₄⋊C₄	—	13	8	no	—
939	C₂×C₄⋊C₄	—	13	8	no	—
940	C₂×C₄⋊C₄	—	13	8	no	—
941	C₂×C₄⋊C₄	—	13	16	no	—
942	C₂×C₄⋊C₄	—	13	16	no	—
943	C₂×C₄⋊C₄	—	13	8	no	—
944	C₂×C₄⋊C₄	—	13	16	no	—
945	C₂×C₄⋊C₄	—	13	16	no	—
946	C₂×C₄⋊C₄	—	13	16	no	—
947	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
948	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
949	C₂×C₄⋊C₄	C₂²×D₁₃	1	2	yes	—
950	C₂×C₄⋊C₄	C₂²×D₁₃	1	2	yes	—
951	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
952	C₂×C₄⋊C₄	C₂²×D₁₃	1	2	yes	—
953	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
954	C₂×C₄⋊C₄	C₂²×D₁₃	1	2	yes	—
955	C₂×C₄⋊C₄	C₂²×D₁₃	1	2	yes	—
956	C₂×C₄⋊C₄	C₂²×D₁₃	1	2	yes	—
957	C₂×C₄⋊C₄	C₂²×D₁₃	1	8	yes	complemented
958	C₂×C₂²⋊C₄	—	13	1	no	—
959	C₂×C₂²⋊C₄	—	13	2	no	—
960	C₂×C₂²⋊C₄	—	13	2	no	—
961	C₂×C₂²⋊C₄	—	13	1	no	—
962	C₂×C₂²⋊C₄	—	13	2	no	—
963	C₂×C₂²⋊C₄	—	13	1	no	—
964	C₂×C₂²⋊C₄	—	13	1	no	—
965	C₂×C₂²⋊C₄	—	13	2	no	—
966	C₂×C₂²⋊C₄	—	13	2	no	—
967	C₂×C₂²⋊C₄	—	13	2	no	—
968	C₂×C₂²⋊C₄	—	13	2	no	—
969	C₂×C₂²⋊C₄	—	13	1	no	—
970	C₂×C₂²⋊C₄	—	13	1	no	—
971	C₂×C₂²⋊C₄	—	13	2	no	—
972	C₂×C₂²⋊C₄	—	13	2	no	—
973	C₂×C₂²⋊C₄	—	13	8	no	—
974	C₂×C₂²⋊C₄	—	13	16	no	—
975	C₂×C₂²⋊C₄	—	13	16	no	—
976	C₂×C₂²⋊C₄	—	13	8	no	—
977	C₂×C₂²⋊C₄	—	13	16	no	—
978	C₂×C₂²⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
979	C₂×C₂²⋊C₄	C₂²×D₁₃	1	2	yes	—
980	C₂×C₂²⋊C₄	C₂²×D₁₃	1	2	yes	—
981	C₂×C₂²⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
982	C₂×C₂²⋊C₄	C₂²×D₁₃	1	2	yes	—
983	C₂×C₄²	—	13	2	no	—
984	C₂×C₄²	—	13	2	no	—
985	C₂×C₄²	—	13	2	no	—
986	C₂×C₄²	—	13	2	no	—
987	C₂×C₄²	—	13	2	no	—
988	C₂×C₄²	—	13	2	no	—
989	C₂×C₄²	—	13	1	no	—
990	C₂×C₄²	—	13	1	no	—
991	C₂×C₄²	—	13	1	no	—
992	C₂×C₄²	—	13	16	no	—
993	C₂×C₄²	—	13	16	no	—
994	C₂×C₄²	—	13	8	no	—
995	C₂×C₄²	C₂²×D₁₃	1	2	yes	—
996	C₂×C₄²	C₂²×D₁₃	1	2	yes	—
997	C₂×C₄²	C₂²×D₁₃	1	1	yes	characteristic
998	C₂×C₁₃	—	2	4	no	—
999	C₂×C₁₃	—	4	2	no	—
1000	C₂×C₁₃	C₂×#552	1	4	yes	complemented
1001	C₂×C₁₃	C₂³×#41	1	1	yes	characteristic
1002	C₂×C₁₃	C₂³×#41	1	1	yes	characteristic
1003	C₂×C₁₃	C₂²×2₋¹⁺⁴	1	1	yes	characteristic
1004	D₁₃	—	2	4	no	—
1005	D₁₃	—	4	2	no	—
1006	D₁₃	C₂×#552	1	8	yes	direct product factor
1007	C₂⁴	—	13	1	no	—
1008	C₂⁴	—	13	8	no	—
1009	C₂⁴	—	13	4	no	—
1010	C₂⁴	—	13	1	no	—
1011	C₂⁴	—	13	4	no	—
1012	C₂⁴	—	13	1	no	—
1013	C₂⁴	—	26	4	no	—
1014	C₂⁴	—	26	4	no	—
1015	C₂⁴	—	26	4	no	—
1016	C₂⁴	—	26	4	no	—
1017	C₂⁴	—	26	4	no	—
1018	C₂⁴	C₂³×D₁₃	1	1	yes	characteristic
1019	C₂⁴	C₂³×D₁₃	1	1	yes	characteristic
1020	C₂×Q₈	—	2	4	no	—
1021	C₂×Q₈	—	13	8	no	—
1022	C₂×Q₈	—	13	4	no	—
1023	C₂×Q₈	—	26	8	no	—
1024	C₂×Q₈	—	26	32	no	—
1025	C₂×Q₈	—	26	4	no	—
1026	C₂×Q₈	C₂³×D₁₃	1	4	yes	—
1027	C₂×D₄	—	2	4	no	—
1028	C₂×D₄	—	13	4	no	—
1029	C₂×D₄	—	13	4	no	—
1030	C₂×D₄	—	13	4	no	—
1031	C₂×D₄	—	26	4	no	—
1032	C₂×D₄	—	26	32	no	—
1033	C₂×D₄	—	26	4	no	—
1034	C₂×D₄	—	26	4	no	—
1035	C₂×D₄	C₂³×D₁₃	1	4	yes	—
1036	C₂²×C₄	—	2	8	no	—
1037	C₂²×C₄	—	2	4	no	—
1038	C₂²×C₄	—	2	4	no	—
1039	C₂²×C₄	—	13	1	no	—
1040	C₂²×C₄	—	13	8	no	—
1041	C₂²×C₄	—	13	4	no	—
1042	C₂²×C₄	—	13	8	no	—
1043	C₂²×C₄	—	13	4	no	—
1044	C₂²×C₄	—	13	4	no	—
1045	C₂²×C₄	—	13	1	no	—
1046	C₂²×C₄	—	13	1	no	—
1047	C₂²×C₄	—	13	2	no	—
1048	C₂²×C₄	—	13	2	no	—
1049	C₂²×C₄	—	13	2	no	—
1050	C₂²×C₄	—	13	1	no	—
1051	C₂²×C₄	—	13	1	no	—
1052	C₂²×C₄	—	13	2	no	—
1053	C₂²×C₄	—	13	4	no	—
1054	C₂²×C₄	—	13	4	no	—
1055	C₂²×C₄	—	13	8	no	—
1056	C₂²×C₄	—	13	8	no	—
1057	C₂²×C₄	—	13	8	no	—
1058	C₂²×C₄	—	13	4	no	—
1059	C₂²×C₄	—	13	4	no	—
1060	C₂²×C₄	—	13	8	no	—
1061	C₂²×C₄	—	13	8	no	—
1062	C₂²×C₄	—	13	8	no	—
1063	C₂²×C₄	—	13	4	no	—
1064	C₂²×C₄	—	13	4	no	—
1065	C₂²×C₄	—	13	4	no	—
1066	C₂²×C₄	—	13	4	no	—
1067	C₂²×C₄	—	26	4	no	—
1068	C₂²×C₄	—	26	4	no	—
1069	C₂²×C₄	—	26	32	no	—
1070	C₂²×C₄	—	26	32	no	—
1071	C₂²×C₄	—	26	4	no	—
1072	C₂²×C₄	—	26	4	no	—
1073	C₂²×C₄	—	26	8	no	—
1074	C₂²×C₄	—	26	8	no	—
1075	C₂²×C₄	—	26	64	no	—
1076	C₂²×C₄	—	26	8	no	—
1077	C₂²×C₄	—	26	8	no	—
1078	C₂²×C₄	—	26	4	no	—
1079	C₂²×C₄	—	26	8	no	—
1080	C₂²×C₄	—	26	8	no	—
1081	C₂²×C₄	—	26	4	no	—
1082	C₂²×C₄	—	26	4	no	—
1083	C₂²×C₄	—	26	4	no	—
1084	C₂²×C₄	—	26	8	no	—
1085	C₂²×C₄	—	26	4	no	—
1086	C₂²×C₄	—	26	4	no	—
1087	C₂²×C₄	C₂³×D₁₃	1	8	yes	—
1088	C₂²×C₄	C₂³×D₁₃	1	4	yes	—
1089	C₂²×C₄	C₂³×D₁₃	1	4	yes	—
1090	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1091	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1092	C₂²×C₄	C₂³×D₁₃	1	2	yes	—
1093	C₂²×C₄	C₂³×D₁₃	1	2	yes	—
1094	C₂²×C₄	C₂³×D₁₃	1	2	yes	—
1095	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1096	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1097	C₂²×C₄	C₂³×D₁₃	1	2	yes	—
1098	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1099	C₄⋊C₄	—	13	8	no	—
1100	C₄⋊C₄	—	13	4	no	—
1101	C₄⋊C₄	—	13	8	no	—
1102	C₄⋊C₄	—	13	4	no	—
1103	C₄⋊C₄	—	13	8	no	—
1104	C₄⋊C₄	—	13	8	no	—
1105	C₄⋊C₄	—	13	8	no	—
1106	C₄⋊C₄	—	13	8	no	—
1107	C₄⋊C₄	—	13	8	no	—
1108	C₄⋊C₄	—	13	8	no	—
1109	C₄⋊C₄	—	13	8	no	—
1110	C₄⋊C₄	—	13	4	no	—
1111	C₄⋊C₄	—	13	8	no	—
1112	C₄⋊C₄	—	13	8	no	—
1113	C₄⋊C₄	—	13	8	no	—
1114	C₄⋊C₄	—	13	4	no	—
1115	C₄⋊C₄	—	13	4	no	—
1116	C₄⋊C₄	—	13	4	no	—
1117	C₄⋊C₄	—	13	8	no	—
1118	C₄⋊C₄	—	13	8	no	—
1119	C₄⋊C₄	—	13	8	no	—
1120	C₄⋊C₄	—	13	8	no	—
1121	C₄⋊C₄	—	13	8	no	—
1122	C₄⋊C₄	—	13	8	no	—
1123	C₄⋊C₄	—	13	8	no	—
1124	C₄⋊C₄	—	13	8	no	—
1125	C₄⋊C₄	—	13	8	no	—
1126	C₄⋊C₄	C₂³×D₁₃	1	4	yes	—
1127	C₄⋊C₄	C₂³×D₁₃	1	4	yes	—
1128	C₄⋊C₄	C₂³×D₁₃	1	8	yes	—
1129	C₄⋊C₄	C₂³×D₁₃	1	8	yes	—
1130	C₄⋊C₄	C₂³×D₁₃	1	4	yes	—
1131	C₄⋊C₄	C₂³×D₁₃	1	8	yes	—
1132	C₄⋊C₄	C₂³×D₁₃	1	4	yes	—
1133	C₄⋊C₄	C₂³×D₁₃	1	8	yes	—
1134	C₄⋊C₄	C₂³×D₁₃	1	8	yes	—
1135	C₄⋊C₄	C₂³×D₁₃	1	8	yes	—
1136	C₂²⋊C₄	—	13	4	no	—
1137	C₂²⋊C₄	—	13	8	no	—
1138	C₂²⋊C₄	—	13	8	no	—
1139	C₂²⋊C₄	—	13	4	no	—
1140	C₂²⋊C₄	—	13	8	no	—
1141	C₂²⋊C₄	—	13	4	no	—
1142	C₂²⋊C₄	—	13	4	no	—
1143	C₂²⋊C₄	—	13	8	no	—
1144	C₂²⋊C₄	—	13	8	no	—
1145	C₂²⋊C₄	—	13	8	no	—
1146	C₂²⋊C₄	—	13	8	no	—
1147	C₂²⋊C₄	—	13	4	no	—
1148	C₂²⋊C₄	—	13	4	no	—
1149	C₂²⋊C₄	—	13	8	no	—
1150	C₂²⋊C₄	—	13	8	no	—
1151	C₂²⋊C₄	C₂³×D₁₃	1	4	yes	—
1152	C₂²⋊C₄	C₂³×D₁₃	1	8	yes	—
1153	C₂²⋊C₄	C₂³×D₁₃	1	8	yes	—
1154	C₂²⋊C₄	C₂³×D₁₃	1	4	yes	—
1155	C₂²⋊C₄	C₂³×D₁₃	1	8	yes	—
1156	C₄²	—	13	8	no	—
1157	C₄²	—	13	8	no	—
1158	C₄²	—	13	8	no	—
1159	C₄²	—	13	8	no	—
1160	C₄²	—	13	8	no	—
1161	C₄²	—	13	8	no	—
1162	C₄²	—	13	4	no	—
1163	C₄²	—	13	4	no	—
1164	C₄²	—	13	4	no	—
1165	C₄²	C₂³×D₁₃	1	8	yes	—
1166	C₄²	C₂³×D₁₃	1	8	yes	—
1167	C₄²	C₂³×D₁₃	1	4	yes	—
1168	C₁₃	C₂²×#552	1	1	yes	characteristic, complemented, Sylow
1169	C₂³	—	2	2	no	—
1170	C₂³	—	2	2	no	—
1171	C₂³	—	2	2	no	—
1172	C₂³	—	2	2	no	—
1173	C₂³	—	2	2	no	—
1174	C₂³	—	13	4	no	—
1175	C₂³	—	13	4	no	—
1176	C₂³	—	13	4	no	—
1177	C₂³	—	13	2	no	—
1178	C₂³	—	13	16	no	—
1179	C₂³	—	13	4	no	—
1180	C₂³	—	13	2	no	—
1181	C₂³	—	13	2	no	—
1182	C₂³	—	26	8	no	—
1183	C₂³	—	26	32	no	—
1184	C₂³	—	26	8	no	—
1185	C₂³	—	26	8	no	—
1186	C₂³	—	26	8	no	—
1187	C₂³	—	26	8	no	—
1188	C₂³	—	26	2	no	—
1189	C₂³	—	26	2	no	—
1190	C₂³	—	26	2	no	—
1191	C₂³	—	26	2	no	—
1192	C₂³	—	26	2	no	—
1193	C₂³	—	52	16	no	—
1194	C₂³	#41×D₁₃	1	4	yes	—
1195	C₂³	C₂⁴×D₁₃	1	2	yes	—
1196	C₂³	C₂⁴×D₁₃	1	2	yes	—
1197	C₂³	C₂⁴×D₁₃	1	1	yes	characteristic
1198	Q₈	—	2	8	no	—
1199	Q₈	—	26	16	no	—
1200	Q₈	—	26	8	no	—
1201	D₄	—	2	8	no	—
1202	D₄	—	26	8	no	—
1203	D₄	—	26	8	no	—
1204	D₄	—	26	8	no	—
1205	C₂×C₄	—	2	16	no	—
1206	C₂×C₄	—	2	4	no	—
1207	C₂×C₄	—	2	4	no	—
1208	C₂×C₄	—	2	2	no	—
1209	C₂×C₄	—	2	2	no	—
1210	C₂×C₄	—	2	2	no	—
1211	C₂×C₄	—	2	4	no	—
1212	C₂×C₄	—	2	2	no	—
1213	C₂×C₄	—	2	4	no	—
1214	C₂×C₄	—	2	8	no	—
1215	C₂×C₄	—	2	8	no	—
1216	C₂×C₄	—	13	4	no	—
1217	C₂×C₄	—	13	2	no	—
1218	C₂×C₄	—	13	16	no	—
1219	C₂×C₄	—	13	2	no	—
1220	C₂×C₄	—	13	2	no	—
1221	C₂×C₄	—	13	4	no	—
1222	C₂×C₄	—	13	4	no	—
1223	C₂×C₄	—	13	4	no	—
1224	C₂×C₄	—	13	2	no	—
1225	C₂×C₄	—	13	2	no	—
1226	C₂×C₄	—	13	4	no	—
1227	C₂×C₄	—	26	8	no	—
1228	C₂×C₄	—	26	8	no	—
1229	C₂×C₄	—	26	8	no	—
1230	C₂×C₄	—	26	16	no	—
1231	C₂×C₄	—	26	8	no	—
1232	C₂×C₄	—	26	8	no	—
1233	C₂×C₄	—	26	16	no	—
1234	C₂×C₄	—	26	16	no	—
1235	C₂×C₄	—	26	16	no	—
1236	C₂×C₄	—	26	16	no	—
1237	C₂×C₄	—	26	8	no	—
1238	C₂×C₄	—	26	16	no	—
1239	C₂×C₄	—	26	8	no	—
1240	C₂×C₄	—	26	8	no	—
1241	C₂×C₄	—	26	16	no	—
1242	C₂×C₄	—	26	4	no	—
1243	C₂×C₄	—	26	4	no	—
1244	C₂×C₄	—	26	2	no	—
1245	C₂×C₄	—	26	2	no	—
1246	C₂×C₄	—	26	2	no	—
1247	C₂×C₄	—	26	4	no	—
1248	C₂×C₄	—	26	2	no	—
1249	C₂×C₄	—	26	4	no	—
1250	C₂×C₄	—	26	8	no	—
1251	C₂×C₄	—	26	8	no	—
1252	C₂×C₄	#41×D₁₃	1	4	yes	—
1253	C₂×C₄	C₂⁴×D₁₃	1	2	yes	—
1254	C₂×C₄	C₂⁴×D₁₃	1	2	yes	—
1255	C₂×C₄	C₂⁴×D₁₃	1	4	yes	—
1256	C₂×C₄	C₂⁴×D₁₃	1	4	yes	—
1257	C₂×C₄	C₂⁴×D₁₃	1	4	yes	—
1258	C₂×C₄	C₂⁴×D₁₃	1	2	yes	—
1259	C₂×C₄	C₂⁴×D₁₃	1	2	yes	—
1260	C₂×C₄	C₂⁴×D₁₃	1	4	yes	—
1261	C₂×C₄	C₂⁴×D₁₃	1	2	yes	—
1262	C₂²	—	2	8	no	—
1263	C₂²	—	2	2	no	—
1264	C₂²	—	2	2	no	—
1265	C₂²	—	2	2	no	—
1266	C₂²	—	2	2	no	—
1267	C₂²	—	2	2	no	—
1268	C₂²	—	4	4	no	—
1269	C₂²	—	13	16	no	—
1270	C₂²	—	13	4	no	—
1271	C₂²	—	13	4	no	—
1272	C₂²	—	13	4	no	—
1273	C₂²	—	13	4	no	—
1274	C₂²	—	26	32	no	—
1275	C₂²	—	26	8	no	—
1276	C₂²	—	26	2	no	—
1277	C₂²	—	26	2	no	—
1278	C₂²	—	26	2	no	—
1279	C₂²	—	26	2	no	—
1280	C₂²	—	26	2	no	—
1281	C₂²	—	52	16	no	—
1282	C₂²	—	52	4	no	—
1283	C₂²	C₂×#41×D₁₃	1	4	yes	—
1284	C₂²	C₂×#41×D₁₃	1	2	yes	—
1285	C₂²	C₂×#41×D₁₃	1	2	yes	—
1286	C₂²	D₁₃×2₋¹⁺⁴	1	2	yes	—
1287	C₂²	C₂⁵×D₁₃	1	1	yes	characteristic
1288	C₄	—	2	4	no	—
1289	C₄	—	2	4	no	—
1290	C₄	—	2	2	no	—
1291	C₄	—	2	2	no	—
1292	C₄	—	2	2	no	—
1293	C₄	—	2	4	no	—
1294	C₄	—	2	2	no	—
1295	C₄	—	2	4	no	—
1296	C₄	—	13	4	no	—
1297	C₄	—	26	4	no	—
1298	C₄	—	26	4	no	—
1299	C₄	—	26	2	no	—
1300	C₄	—	26	2	no	—
1301	C₄	—	26	2	no	—
1302	C₄	—	26	4	no	—
1303	C₄	—	26	2	no	—
1304	C₄	—	26	4	no	—
1305	C₄	C₂×#41×D₁₃	1	4	yes	—
1306	C₂	—	2	4	no	—
1307	C₂	—	4	2	no	—
1308	C₂	—	13	8	no	—
1309	C₂	—	26	4	no	—
1310	C₂	—	52	2	no	—
1311	C₂	D₁₃×#552	1	4	yes	direct product factor
1312	C₂	C₂²×#41×D₁₃	1	1	yes	characteristic
1313	C₂	C₂²×#41×D₁₃	1	1	yes	characteristic
1314	C₂	C₂×D₁₃×2₋¹⁺⁴	1	1	yes	characteristic

	subgroup	G/H
center	C₂³	C₂⁴×D₁₃
commutator, cosocle	C₂²×C₁₃	C₂⁶
Frattini	C₂²	C₂⁵×D₁₃
Fitting	C₂×C₁₃×#552	C₂
socle	C₂³×C₁₃	C₂⁵
prime radical	C₂²×D₄×D₁₃	C₂²
hypercenter	C₂×#552	D₁₃
hypocenter	C₁₃	C₂²×#552
LCS	G ▷ C₂²×C₁₃ ▷ C₁₃
UCS	C₁ ◁ C₂³ ◁ C₂×#552

Complements

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

N	H ≅ G/N	type
1. C₂×#11719347	C₂	semidirect
2. C₂×#11719286	C₂	semidirect
3. C₂×#11719246	C₂	semidirect
4. C₂×#11719234	C₂	semidirect
5. C₂×#11719399	C₂	semidirect
6. C₂×#11719355	C₂	semidirect
7. C₂×#11719413	C₂	semidirect
8. C₂×#11719218	C₂	semidirect
9. C₂×#11719344	C₂	semidirect
10. C₂×#11719236	C₂	semidirect
11. C₂×#11719398	C₂	semidirect
12. D₁₃×#552	C₂	direct (N × H)
13. C₂×D₁₃×#126	C₂	semidirect
14. C₂×D₁₃×#125	C₂	semidirect
15. C₂×D₁₃×#125	C₂	semidirect
17. C₂×D₁₃×C₂²⋊Q₈	C₂	semidirect
18. C₂×D₁₃×C₂²⋊Q₈	C₂	semidirect
19. C₂×C₄×Q₈×D₁₃	C₂	semidirect
21. C₂×D₁₃×#117	C₂	semidirect
22. C₂×D₁₃×#117	C₂	semidirect
23. C₂²×C₄⋊C₄×D₁₃	C₂	semidirect
24. C₂×C₁₃×#552	C₂	semidirect
30. C₁₃×#552	C₂²	semidirect
31. C₂×C₁₃×#126	C₂²	semidirect
32. C₂×C₁₃×#125	C₂²	semidirect
33. C₂×C₁₃×#125	C₂²	semidirect
35. C₂×C₁₃×C₂²⋊Q₈	C₂²	semidirect
36. C₂×C₁₃×C₂²⋊Q₈	C₂²	semidirect
37. C₂×C₄×Q₈×C₁₃	C₂²	semidirect
39. C₂×C₁₃×#117	C₂²	semidirect
40. C₂×C₁₃×#117	C₂²	semidirect
41. C₂²×C₁₃×C₄⋊C₄	C₂²	semidirect
42. C₂×#88200	C₂²	semidirect
43. C₂×#88200	C₂²	semidirect
44. C₂×Q₈×Dic₁₃	C₂²	semidirect
50. C₂×#88180	C₂²	semidirect
51. C₂×#88180	C₂²	semidirect
52. C₂²×C₄⋊Dic₁₃	C₂²	semidirect
53. C₂×#88178	C₂²	semidirect
54. C₂×#88178	C₂²	semidirect
55. C₂²×#6101	C₂²	semidirect
56. #11719413	C₂²	semidirect
57. D₁₃×#126	C₂²	semidirect
58. #11719399	C₂²	semidirect
59. #11719398	C₂²	semidirect
60. D₁₃×#125	C₂²	semidirect
61. D₁₃×#125	C₂²	semidirect
63. #11719355	C₂²	semidirect
64. #11719347	C₂²	semidirect
65. #11719344	C₂²	semidirect
66. D₁₃×C₂²⋊Q₈	C₂²	semidirect
67. D₁₃×C₂²⋊Q₈	C₂²	semidirect
68. #11719286	C₂²	semidirect
69. C₄×Q₈×D₁₃	C₂²	semidirect
71. #11719246	C₂²	semidirect
72. #11719236	C₂²	semidirect
73. #11719234	C₂²	semidirect
74. D₁₃×#117	C₂²	semidirect
75. D₁₃×#117	C₂²	semidirect
76. #11719218	C₂²	semidirect
77. C₂×#88152	C₂²	semidirect
78. C₂×#88152	C₂²	semidirect
79. C₂×#88152	C₂²	semidirect
80. C₂×#88151	C₂²	semidirect
81. C₂×#88151	C₂²	semidirect
82. C₂×#88150	C₂²	semidirect
83. C₂×#88150	C₂²	semidirect
87. C₂×#88146	C₂²	semidirect
88. C₂×#88146	C₂²	semidirect
89. C₂×#88146	C₂²	semidirect
90. C₂×#88146	C₂²	semidirect
101. C₂×C₄⋊C₄×D₁₃	C₂²	semidirect
102. C₂×C₄⋊C₄×D₁₃	C₂²	semidirect
103. C₂×C₄⋊C₄×D₁₃	C₂²	semidirect
104. C₂×C₄⋊C₄×D₁₃	C₂²	semidirect
105. C₂×#88144	C₂²	semidirect
106. C₂×#88144	C₂²	semidirect
107. C₂×#88144	C₂²	semidirect
108. C₂×#88144	C₂²	semidirect
109. C₂×#88143	C₂²	semidirect
110. C₂×#88143	C₂²	semidirect
111. C₂×#88143	C₂²	semidirect
112. C₂×#88143	C₂²	semidirect
113. C₂×#88143	C₂²	semidirect
114. C₂×#88143	C₂²	semidirect
115. C₂×#88141	C₂²	semidirect
116. C₂×#88141	C₂²	semidirect
127. C₂×#88133	C₂²	semidirect
128. C₂×#88133	C₂²	semidirect
129. C₂×#88133	C₂²	semidirect
130. C₂×#88132	C₂²	semidirect
131. C₂×#88132	C₂²	semidirect
132. C₂×#88131	C₂²	semidirect
133. C₂×#88131	C₂²	semidirect
134. C₂×#88131	C₂²	semidirect
135. C₂×#88130	C₂²	semidirect
137. C₂×#88126	C₂²	semidirect
138. C₂×#88126	C₂²	semidirect
139. C₂×#88126	C₂²	semidirect
143. C₂×#88124	C₂²	semidirect
144. C₂×#88124	C₂²	semidirect
145. C₂×C₄×Dic₂₆	C₂²	semidirect
146. C₂×C₄×Dic₂₆	C₂²	semidirect
187. C₁₃×#126	C₂³	semidirect
188. C₁₃×#125	C₂³	semidirect
189. C₁₃×#125	C₂³	semidirect
191. C₁₃×C₂²⋊Q₈	C₂³	semidirect
192. C₁₃×C₂²⋊Q₈	C₂³	semidirect
193. C₄×Q₈×C₁₃	C₂³	semidirect
195. C₁₃×#117	C₂³	semidirect
196. C₁₃×#117	C₂³	semidirect
207. C₂×C₁₃×C₄⋊C₄	C₂³	semidirect
221. #88200	C₂³	semidirect
222. #88200	C₂³	semidirect
223. Q₈×Dic₁₃	C₂³	semidirect
239. #88180	C₂³	semidirect
240. #88180	C₂³	semidirect
251. C₂×C₄⋊Dic₁₃	C₂³	semidirect
252. #88178	C₂³	semidirect
253. #88178	C₂³	semidirect
271. C₂×#6101	C₂³	semidirect
281. #88152	C₂³	semidirect
282. #88152	C₂³	semidirect
283. #88152	C₂³	semidirect
284. #88151	C₂³	semidirect
285. #88151	C₂³	semidirect
286. #88150	C₂³	semidirect
287. #88150	C₂³	semidirect
291. #88146	C₂³	semidirect
292. #88146	C₂³	semidirect
293. #88146	C₂³	semidirect
294. #88146	C₂³	semidirect
305. C₄⋊C₄×D₁₃	C₂³	semidirect
306. C₄⋊C₄×D₁₃	C₂³	semidirect
307. C₄⋊C₄×D₁₃	C₂³	semidirect
308. #88144	C₂³	semidirect
309. #88144	C₂³	semidirect
310. #88144	C₂³	semidirect
311. #88144	C₂³	semidirect
312. #88143	C₂³	semidirect
313. #88143	C₂³	semidirect
314. #88143	C₂³	semidirect
315. #88143	C₂³	semidirect
316. #88143	C₂³	semidirect
317. #88143	C₂³	semidirect
318. #88141	C₂³	semidirect
319. #88141	C₂³	semidirect
330. #88133	C₂³	semidirect
331. #88133	C₂³	semidirect
332. #88133	C₂³	semidirect
333. #88132	C₂³	semidirect
334. #88132	C₂³	semidirect
335. #88131	C₂³	semidirect
336. #88131	C₂³	semidirect
337. #88131	C₂³	semidirect
338. #88130	C₂³	semidirect
340. #88126	C₂³	semidirect
341. #88126	C₂³	semidirect
342. #88126	C₂³	semidirect
346. #88124	C₂³	semidirect
347. #88124	C₂³	semidirect
348. C₄×Dic₂₆	C₂³	semidirect
349. C₄×Dic₂₆	C₂³	semidirect
524. C₂×#552	D₁₃	direct (N × H)
645. #552	C₂×D₁₃	direct (N × H)
654. C₂×#126	C₂×D₁₃	semidirect
669. C₂×#125	C₂×D₁₃	semidirect
670. C₂×#125	C₂×D₁₃	semidirect
692. C₂×C₂²⋊Q₈	C₂×D₁₃	semidirect
693. C₂×C₂²⋊Q₈	C₂×D₁₃	semidirect
700. C₂×C₄×Q₈	C₂×D₁₃	semidirect
724. C₂×#117	C₂×D₁₃	semidirect
725. C₂×#117	C₂×D₁₃	semidirect
742. C₂²×C₄⋊C₄	C₂×D₁₃	semidirect
772. C₂×D₁₃	#552	direct (N × H)
842. #126	C₂²×D₁₃	semidirect
855. #125	C₂²×D₁₃	semidirect
856. #125	C₂²×D₁₃	semidirect
875. C₂²⋊Q₈	C₂²×D₁₃	semidirect
876. C₂²⋊Q₈	C₂²×D₁₃	semidirect
882. C₄×Q₈	C₂²×D₁₃	semidirect
903. #117	C₂²×D₁₃	semidirect
904. #117	C₂²×D₁₃	semidirect
957. C₂×C₄⋊C₄	C₂²×D₁₃	semidirect
1000. C₂×C₁₃	C₂×#552	semidirect
1006. D₁₃	C₂×#552	direct (N × H)
1168. C₁₃	C₂²×#552	semidirect
1311. C₂	D₁₃×#552	direct (N × H)

Maximal subgroups

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

subgroup	index
C₂×#11719347	2
C₂×#11719286	2
C₂×#11719246	2
C₂×#11719234	2
C₂×#11719399	2
C₂×#11719355	2
C₂×#11719413	2
C₂×#11719218	2
C₂×#11719344	2
C₂×#11719236	2
C₂×#11719398	2
D₁₃×#552	2
C₂×D₁₃×#126	2
C₂×D₁₃×#125	2
C₂×D₁₃×#123	2
C₂×D₁₃×C₂²⋊Q₈	2
C₂×C₄×Q₈×D₁₃	2
C₂×C₄×D₄×D₁₃	2
C₂×D₁₃×#117	2
C₂²×C₄⋊C₄×D₁₃	2
C₂×C₁₃×#552	2
C₂²×#552	13

Subgroups — C2×D13×#552 #16769903

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₂×D₁₃×#552 #16769903