Subgroups — C₁₃×#34737 #15721076

Order 3328.

3578 conjugacy classes of subgroups.

The subgroup lattice has 940 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×C₁₃×#525	C₂	1	1	yes	maximal, characteristic, complemented
2	C₂×C₁₃×#525	C₂	1	1	yes	maximal, characteristic, complemented
3	C₂²×C₄×D₄×C₁₃	C₂	1	1	yes	maximal, characteristic, complemented
4	C₂²×C₁₃×#117	C₂	1	1	yes	maximal, characteristic, complemented
5	C₁₃×#2417	C₂	1	2	yes	maximal, complemented
6	C₁₃×#2416	C₂	1	2	yes	maximal, complemented
7	C₁₃×#2415	C₂	1	2	yes	maximal, complemented
8	C₁₃×#2414	C₂	1	2	yes	maximal, complemented
9	C₁₃×#2413	C₂	1	2	yes	maximal, complemented
10	C₁₃×#2412	C₂	1	2	yes	maximal, complemented
11	C₁₃×#2411	C₂	1	2	yes	maximal, complemented
12	C₁₃×#2410	C₂	1	2	yes	maximal, complemented
13	C₁₃×#2392	C₂	1	4	yes	maximal, complemented
14	C₄×C₁₃×#121	C₂	1	4	yes	maximal, complemented
15	C₁₃×#2297	C₂	1	1	yes	maximal, characteristic, complemented
16	C₁₃×#2296	C₂	1	1	yes	maximal, characteristic, complemented
17	C₁₃×#2280	C₂	1	1	yes	maximal, characteristic, complemented
18	C₂²×C₁₃×#41	C₂²	1	1	yes	characteristic
19	C₂³×D₄×C₁₃	C₂²	1	1	yes	characteristic
20	C₂⁴×C₄×C₁₃	C₂²	1	1	yes	characteristic
21	C₂⁴×C₄×C₁₃	C₂²	1	1	yes	characteristic
22	C₁₃×#525	—	2	8	no	—
23	C₁₃×#525	—	2	8	no	—
24	C₂×C₁₃×#123	C₂²	1	2	yes	—
25	C₂×C₁₃×#123	C₂²	1	2	yes	—
26	C₂×C₁₃×C₂²⋊Q₈	C₂²	1	1	yes	characteristic, complemented
27	C₂×C₁₃×C₂²⋊Q₈	C₂²	1	2	yes	complemented
28	C₂×C₁₃×C₂²⋊Q₈	C₂²	1	1	yes	characteristic, complemented
29	C₂×C₁₃×#121	C₂²	1	4	yes	—
30	C₂×C₁₃×#121	C₂²	1	1	yes	characteristic, complemented
31	C₂×C₁₃×#121	C₂²	1	2	yes	complemented
32	C₂×C₁₃×#121	C₂²	1	1	yes	characteristic, complemented
33	C₂×C₁₃×#120	C₂²	1	2	yes	—
34	C₂×C₁₃×#120	C₂²	1	2	yes	—
35	C₂×C₄×D₄×C₁₃	—	2	8	no	—
36	C₂×C₄×D₄×C₁₃	C₂²	1	2	yes	—
37	C₂×C₄×D₄×C₁₃	C₂²	1	2	yes	—
38	C₂×C₄×D₄×C₁₃	C₂²	1	2	yes	—
39	C₂×C₄×D₄×C₁₃	C₂²	1	2	yes	—
40	C₂×C₄×D₄×C₁₃	C₂²	1	2	yes	complemented
41	C₂×C₄×D₄×C₁₃	C₂²	1	4	yes	complemented
42	C₂×C₄×D₄×C₁₃	C₂²	1	2	yes	complemented
43	C₂×C₁₃×#117	—	2	8	no	—
44	C₂×C₁₃×#117	C₂²	1	1	yes	characteristic
45	C₂×C₁₃×#117	C₂²	1	1	yes	characteristic
46	C₂×C₁₃×#117	C₂²	1	2	yes	—
47	C₂×C₁₃×#117	C₂²	1	1	yes	characteristic
48	C₂×C₁₃×#117	C₂²	1	2	yes	complemented
49	C₂×C₁₃×#117	C₂²	1	2	yes	complemented
50	C₂²×C₁₃×C₄⋊C₄	C₂²	1	1	yes	characteristic
51	C₂²×C₁₃×C₄⋊C₄	C₂²	1	2	yes	complemented
52	C₂²×C₁₃×C₂²⋊C₄	C₂²	1	2	yes	—
53	C₂²×C₁₃×C₂²⋊C₄	C₂²	1	1	yes	characteristic
54	C₂²×C₁₃×C₂²⋊C₄	C₂²	1	1	yes	characteristic
55	C₂²×C₄²×C₁₃	C₂²	1	1	yes	characteristic
56	C₂²×C₄²×C₁₃	C₂²	1	2	yes	complemented
57	C₁₃×#398	C₂²	1	4	yes	complemented
58	C₁₃×#397	C₂²	1	4	yes	complemented
59	C₁₃×#396	C₂²	1	4	yes	complemented
60	C₁₃×#396	C₂²	1	4	yes	complemented
61	C₁₃×#394	C₂²	1	4	yes	—
62	C₁₃×#394	C₂²	1	4	yes	complemented
63	C₁₃×#394	C₂²	1	4	yes	complemented
64	C₁₃×#392	C₂²	1	4	yes	—
65	C₁₃×#391	C₂²	1	2	yes	complemented
66	C₁₃×#390	C₂²	1	2	yes	complemented
67	C₁₃×#390	C₂²	1	4	yes	complemented
68	C₁₃×#389	C₂²	1	2	yes	complemented
69	C₁₃×#389	C₂²	1	2	yes	complemented
70	C₁₃×#389	C₂²	1	4	yes	complemented
71	C₁₃×#388	C₂²	1	4	yes	complemented
72	C₁₃×#388	C₂²	1	4	yes	complemented
73	C₁₃×#386	C₂²	1	2	yes	—
74	C₁₃×#386	C₂²	1	2	yes	—
75	C₁₃×#386	C₂²	1	4	yes	—
76	C₁₃×#386	C₂²	1	4	yes	complemented
77	C₁₃×#385	C₂²	1	2	yes	—
78	C₁₃×#385	C₂²	1	2	yes	—
79	C₁₃×#381	C₂²	1	2	yes	—
80	C₁₃×#380	C₂²	1	2	yes	complemented
81	C₁₃×#380	C₂²	1	2	yes	complemented
82	C₁₃×#380	C₂²	1	4	yes	complemented
83	C₁₃×#379	C₂²	1	2	yes	—
84	C₄×C₁₃×C₄⋊C₄	C₂²	1	4	yes	complemented
85	C₄×C₁₃×C₂²⋊C₄	C₂²	1	4	yes	complemented
86	C₄×C₁₃×C₂²⋊C₄	C₂²	1	4	yes	complemented
87	C₂⁵×C₁₃	C₂³	1	1	yes	characteristic
88	C₂⁵×C₁₃	C₂³	1	1	yes	characteristic
89	C₂×C₁₃×#41	—	2	4	no	—
90	C₂×C₁₃×#41	—	2	4	no	—
91	C₂×C₁₃×#41	—	2	4	no	—
92	C₂²×Q₈×C₁₃	C₂³	1	1	yes	characteristic
93	C₂²×D₄×C₁₃	—	2	4	no	—
94	C₂²×D₄×C₁₃	—	2	8	no	—
95	C₂²×D₄×C₁₃	C₂³	1	2	yes	—
96	C₂²×D₄×C₁₃	C₂³	1	2	yes	—
97	C₂²×D₄×C₁₃	C₂³	1	1	yes	characteristic
98	C₂²×D₄×C₁₃	C₂³	1	2	yes	—
99	C₂²×D₄×C₁₃	C₂³	1	4	yes	—
100	C₂²×D₄×C₁₃	C₂³	1	2	yes	—
101	C₂²×D₄×C₁₃	C₂³	1	2	yes	—
102	C₂³×C₄×C₁₃	—	2	4	no	—
103	C₂³×C₄×C₁₃	—	2	4	no	—
104	C₂³×C₄×C₁₃	—	2	4	no	—
105	C₂³×C₄×C₁₃	—	2	4	no	—
106	C₂³×C₄×C₁₃	—	2	4	no	—
107	C₂³×C₄×C₁₃	D₄	1	8	yes	complemented
108	C₂³×C₄×C₁₃	C₂³	1	2	yes	—
109	C₂³×C₄×C₁₃	C₂³	1	1	yes	characteristic
110	C₂³×C₄×C₁₃	C₂³	1	1	yes	characteristic
111	C₂³×C₄×C₁₃	C₂³	1	2	yes	—
112	C₂³×C₄×C₁₃	C₂³	1	2	yes	—
113	C₂³×C₄×C₁₃	C₂³	1	4	yes	—
114	C₂³×C₄×C₁₃	C₂³	1	1	yes	characteristic
115	C₂³×C₄×C₁₃	C₂³	1	1	yes	characteristic
116	C₂³×C₄×C₁₃	C₂³	1	1	yes	characteristic
117	C₂³×C₄×C₁₃	C₂³	1	1	yes	characteristic
118	C₂³×C₄×C₁₃	C₂³	1	1	yes	characteristic
119	C₂³×C₄×C₁₃	C₂³	1	1	yes	characteristic
120	C₂³×C₄×C₁₃	C₂³	1	1	yes	characteristic
121	C₁₃×#123	—	2	8	no	—
122	C₁₃×#123	—	2	8	no	—
123	C₁₃×C₂²⋊Q₈	—	2	4	no	—
124	C₁₃×C₂²⋊Q₈	—	2	4	no	—
125	C₁₃×C₂²⋊Q₈	—	2	8	no	—
126	C₁₃×#121	—	2	16	no	—
127	C₁₃×#121	—	2	4	no	—
128	C₁₃×#121	—	2	4	no	—
129	C₁₃×#121	—	2	8	no	—
130	C₁₃×#120	—	2	8	no	—
131	C₁₃×#120	—	2	8	no	—
132	C₄×D₄×C₁₃	—	2	8	no	—
133	C₄×D₄×C₁₃	—	2	8	no	—
134	C₄×D₄×C₁₃	—	2	8	no	—
135	C₄×D₄×C₁₃	—	2	8	no	—
136	C₄×D₄×C₁₃	—	2	8	no	—
137	C₄×D₄×C₁₃	—	2	8	no	—
138	C₄×D₄×C₁₃	—	2	16	no	—
139	C₁₃×#117	—	2	4	no	—
140	C₁₃×#117	—	2	4	no	—
141	C₁₃×#117	—	2	8	no	—
142	C₁₃×#117	—	2	8	no	—
143	C₁₃×#117	—	2	8	no	—
144	C₁₃×#117	D₄	1	8	yes	complemented
145	C₂×C₁₃×C₄⋊C₄	—	2	4	no	—
146	C₂×C₁₃×C₄⋊C₄	—	2	8	no	—
147	C₂×C₁₃×C₄⋊C₄	C₂³	1	4	yes	—
148	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
149	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
150	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
151	C₂×C₁₃×C₄⋊C₄	C₂³	1	4	yes	—
152	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
153	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
154	C₂×C₁₃×C₄⋊C₄	C₂³	1	4	yes	—
155	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
156	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
157	C₂×C₁₃×C₄⋊C₄	C₂³	1	4	yes	—
158	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
159	C₂×C₁₃×C₂²⋊C₄	—	2	4	no	—
160	C₂×C₁₃×C₂²⋊C₄	—	2	4	no	—
161	C₂×C₁₃×C₂²⋊C₄	—	2	8	no	—
162	C₂×C₁₃×C₂²⋊C₄	C₂³	1	4	yes	—
163	C₂×C₁₃×C₂²⋊C₄	C₂³	1	4	yes	—
164	C₂×C₁₃×C₂²⋊C₄	C₂³	1	2	yes	—
165	C₂×C₁₃×C₂²⋊C₄	C₂³	1	2	yes	—
166	C₂×C₁₃×C₂²⋊C₄	C₂³	1	2	yes	—
167	C₂×C₁₃×C₂²⋊C₄	C₂³	1	2	yes	—
168	C₂×C₁₃×C₂²⋊C₄	C₂³	1	4	yes	—
169	C₂×C₁₃×C₂²⋊C₄	C₂³	1	4	yes	—
170	C₂×C₁₃×C₂²⋊C₄	C₂³	1	2	yes	—
171	C₂×C₁₃×C₂²⋊C₄	C₂³	1	2	yes	—
172	C₂×C₁₃×C₂²⋊C₄	C₂³	1	4	yes	—
173	C₂×C₁₃×C₂²⋊C₄	C₂³	1	2	yes	—
174	C₂×C₁₃×C₂²⋊C₄	C₂³	1	2	yes	—
175	C₂×C₁₃×C₂²⋊C₄	C₂³	1	2	yes	—
176	C₂×C₁₃×C₂²⋊C₄	C₂³	1	2	yes	—
177	C₂×C₁₃×C₂²⋊C₄	C₂³	1	4	yes	—
178	C₂×C₁₃×C₂²⋊C₄	C₂³	1	4	yes	—
179	C₂×C₁₃×C₂²⋊C₄	C₂³	1	2	yes	—
180	C₂×C₄²×C₁₃	—	2	4	no	—
181	C₂×C₄²×C₁₃	—	2	8	no	—
182	C₂×C₄²×C₁₃	C₂³	1	4	yes	—
183	C₂×C₄²×C₁₃	C₂³	1	2	yes	—
184	C₂×C₄²×C₁₃	C₂³	1	2	yes	—
185	C₂×C₄²×C₁₃	C₂³	1	2	yes	—
186	C₂×C₄²×C₁₃	C₂³	1	2	yes	—
187	C₂×C₄²×C₁₃	C₂³	1	2	yes	—
188	C₁₃×#95	C₂³	1	4	yes	—
189	C₁₃×#95	C₂³	1	4	yes	—
190	C₁₃×#95	C₂³	1	4	yes	—
191	C₁₃×#95	C₂³	1	4	yes	—
192	C₁₃×#95	C₂³	1	4	yes	—
193	C₁₃×#95	C₂³	1	4	yes	—
194	#34737	C₁₃	1	1	yes	maximal, characteristic, direct product factor, Sylow
195	C₂⁴×C₁₃	—	2	2	no	—
196	C₂⁴×C₁₃	—	2	2	no	—
197	C₂⁴×C₁₃	—	2	2	no	—
198	C₂⁴×C₁₃	—	2	4	no	—
199	C₂⁴×C₁₃	—	2	4	no	—
200	C₂⁴×C₁₃	—	2	2	no	—
201	C₂⁴×C₁₃	—	2	2	no	—
202	C₂⁴×C₁₃	—	4	2	no	—
203	C₂⁴×C₁₃	—	4	2	no	—
204	C₂⁴×C₁₃	C₂×D₄	1	4	yes	—
205	C₂⁴×C₁₃	C₂⁴	1	2	yes	—
206	C₂⁴×C₁₃	C₂⁴	1	1	yes	characteristic
207	C₂⁴×C₁₃	C₂⁴	1	2	yes	—
208	C₂⁴×C₁₃	C₂⁴	1	1	yes	characteristic
209	C₂⁴×C₁₃	C₂⁴	1	1	yes	characteristic
210	C₁₃×#41	—	4	16	no	—
211	C₂×Q₈×C₁₃	—	2	2	no	—
212	C₂×Q₈×C₁₃	—	2	2	no	—
213	C₂×Q₈×C₁₃	—	2	2	no	—
214	C₂×D₄×C₁₃	—	2	32	no	—
215	C₂×D₄×C₁₃	—	2	4	no	—
216	C₂×D₄×C₁₃	—	2	4	no	—
217	C₂×D₄×C₁₃	—	2	4	no	—
218	C₂×D₄×C₁₃	—	2	4	no	—
219	C₂×D₄×C₁₃	—	2	4	no	—
220	C₂×D₄×C₁₃	—	2	4	no	—
221	C₂×D₄×C₁₃	—	2	4	no	—
222	C₂×D₄×C₁₃	—	2	4	no	—
223	C₂×D₄×C₁₃	—	2	8	no	—
224	C₂×D₄×C₁₃	—	2	8	no	—
225	C₂×D₄×C₁₃	—	2	4	no	—
226	C₂×D₄×C₁₃	—	2	8	no	—
227	C₂×D₄×C₁₃	—	2	2	no	—
228	C₂×D₄×C₁₃	—	2	2	no	—
229	C₂×D₄×C₁₃	—	2	4	no	—
230	C₂×D₄×C₁₃	—	2	2	no	—
231	C₂×D₄×C₁₃	—	4	4	no	—
232	C₂×D₄×C₁₃	—	4	4	no	—
233	C₂×D₄×C₁₃	#41	1	8	yes	complemented
234	C₂²×C₄×C₁₃	—	2	2	no	—
235	C₂²×C₄×C₁₃	—	2	2	no	—
236	C₂²×C₄×C₁₃	—	2	2	no	—
237	C₂²×C₄×C₁₃	—	2	32	no	—
238	C₂²×C₄×C₁₃	—	2	2	no	—
239	C₂²×C₄×C₁₃	—	2	2	no	—
240	C₂²×C₄×C₁₃	—	2	2	no	—
241	C₂²×C₄×C₁₃	—	2	2	no	—
242	C₂²×C₄×C₁₃	—	2	2	no	—
243	C₂²×C₄×C₁₃	—	2	2	no	—
244	C₂²×C₄×C₁₃	—	2	2	no	—
245	C₂²×C₄×C₁₃	—	2	2	no	—
246	C₂²×C₄×C₁₃	—	2	4	no	—
247	C₂²×C₄×C₁₃	—	2	2	no	—
248	C₂²×C₄×C₁₃	—	2	2	no	—
249	C₂²×C₄×C₁₃	—	2	2	no	—
250	C₂²×C₄×C₁₃	—	2	8	no	—
251	C₂²×C₄×C₁₃	—	2	2	no	—
252	C₂²×C₄×C₁₃	—	2	8	no	—
253	C₂²×C₄×C₁₃	—	2	4	no	—
254	C₂²×C₄×C₁₃	—	2	4	no	—
255	C₂²×C₄×C₁₃	—	2	4	no	—
256	C₂²×C₄×C₁₃	—	2	4	no	—
257	C₂²×C₄×C₁₃	—	2	4	no	—
258	C₂²×C₄×C₁₃	—	2	4	no	—
259	C₂²×C₄×C₁₃	—	2	4	no	—
260	C₂²×C₄×C₁₃	—	2	4	no	—
261	C₂²×C₄×C₁₃	—	2	4	no	—
262	C₂²×C₄×C₁₃	—	4	4	no	—
263	C₂²×C₄×C₁₃	—	4	2	no	—
264	C₂²×C₄×C₁₃	—	4	16	no	—
265	C₂²×C₄×C₁₃	C₂×D₄	1	4	yes	—
266	C₂²×C₄×C₁₃	C₂×D₄	1	4	yes	—
267	C₂²×C₄×C₁₃	C₂×D₄	1	4	yes	—
268	C₂²×C₄×C₁₃	C₂×D₄	1	4	yes	—
269	C₂²×C₄×C₁₃	C₂×D₄	1	4	yes	—
270	C₂²×C₄×C₁₃	C₂×D₄	1	4	yes	—
271	C₂²×C₄×C₁₃	C₂×D₄	1	4	yes	—
272	C₂²×C₄×C₁₃	#41	1	4	yes	—
273	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
274	C₂²×C₄×C₁₃	C₂⁴	1	4	yes	—
275	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
276	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
277	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
278	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
279	C₂²×C₄×C₁₃	C₂⁴	1	4	yes	—
280	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
281	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
282	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
283	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
284	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
285	C₁₃×C₄⋊C₄	—	2	8	no	—
286	C₁₃×C₄⋊C₄	—	2	4	no	—
287	C₁₃×C₄⋊C₄	—	2	4	no	—
288	C₁₃×C₄⋊C₄	—	2	4	no	—
289	C₁₃×C₄⋊C₄	—	2	2	no	—
290	C₁₃×C₄⋊C₄	—	2	2	no	—
291	C₁₃×C₄⋊C₄	—	2	4	no	—
292	C₁₃×C₄⋊C₄	—	2	4	no	—
293	C₁₃×C₄⋊C₄	—	2	8	no	—
294	C₁₃×C₄⋊C₄	—	2	8	no	—
295	C₁₃×C₄⋊C₄	—	4	4	no	—
296	C₁₃×C₄⋊C₄	C₂×D₄	1	8	yes	complemented
297	C₁₃×C₂²⋊C₄	—	2	4	no	—
298	C₁₃×C₂²⋊C₄	—	2	4	no	—
299	C₁₃×C₂²⋊C₄	—	2	4	no	—
300	C₁₃×C₂²⋊C₄	—	2	4	no	—
301	C₁₃×C₂²⋊C₄	—	2	4	no	—
302	C₁₃×C₂²⋊C₄	—	2	4	no	—
303	C₁₃×C₂²⋊C₄	—	2	8	no	—
304	C₁₃×C₂²⋊C₄	—	2	8	no	—
305	C₁₃×C₂²⋊C₄	—	2	4	no	—
306	C₁₃×C₂²⋊C₄	—	2	4	no	—
307	C₁₃×C₂²⋊C₄	—	2	8	no	—
308	C₁₃×C₂²⋊C₄	—	2	4	no	—
309	C₁₃×C₂²⋊C₄	—	2	4	no	—
310	C₁₃×C₂²⋊C₄	—	2	8	no	—
311	C₁₃×C₂²⋊C₄	—	2	8	no	—
312	C₁₃×C₂²⋊C₄	—	4	4	no	—
313	C₁₃×C₂²⋊C₄	—	4	4	no	—
314	C₁₃×C₂²⋊C₄	C₂×D₄	1	8	yes	—
315	C₄²×C₁₃	—	2	8	no	—
316	C₄²×C₁₃	—	2	4	no	—
317	C₄²×C₁₃	—	2	4	no	—
318	C₄²×C₁₃	—	2	4	no	—
319	C₄²×C₁₃	—	2	4	no	—
320	C₄²×C₁₃	C₂×D₄	1	8	yes	complemented
321	C₂×#525	C₂×C₁₃	1	1	yes	characteristic, complemented
322	C₂×#525	C₂×C₁₃	1	1	yes	characteristic, complemented
323	C₂²×C₄×D₄	C₂×C₁₃	1	1	yes	characteristic, complemented
324	C₂²×#117	C₂×C₁₃	1	1	yes	characteristic, complemented
325	#2417	C₂×C₁₃	1	2	yes	complemented
326	#2416	C₂×C₁₃	1	2	yes	complemented
327	#2415	C₂×C₁₃	1	2	yes	complemented
328	#2414	C₂×C₁₃	1	2	yes	complemented
329	#2413	C₂×C₁₃	1	2	yes	complemented
330	#2412	C₂×C₁₃	1	2	yes	complemented
331	#2411	C₂×C₁₃	1	2	yes	complemented
332	#2410	C₂×C₁₃	1	2	yes	complemented
333	#2392	C₂×C₁₃	1	4	yes	complemented
334	C₄×#121	C₂×C₁₃	1	4	yes	complemented
335	#2297	C₂×C₁₃	1	1	yes	characteristic, complemented
336	#2296	C₂×C₁₃	1	1	yes	characteristic, complemented
337	#2280	C₂×C₁₃	1	1	yes	characteristic, complemented
338	C₂³×C₁₃	—	2	1	no	—
339	C₂³×C₁₃	—	2	1	no	—
340	C₂³×C₁₃	—	2	2	no	—
341	C₂³×C₁₃	—	2	2	no	—
342	C₂³×C₁₃	—	2	2	no	—
343	C₂³×C₁₃	—	2	8	no	—
344	C₂³×C₁₃	—	2	8	no	—
345	C₂³×C₁₃	—	2	8	no	—
346	C₂³×C₁₃	—	2	1	no	—
347	C₂³×C₁₃	—	2	2	no	—
348	C₂³×C₁₃	—	2	2	no	—
349	C₂³×C₁₃	—	2	1	no	—
350	C₂³×C₁₃	—	2	2	no	—
351	C₂³×C₁₃	—	2	2	no	—
352	C₂³×C₁₃	—	2	2	no	—
353	C₂³×C₁₃	—	2	2	no	—
354	C₂³×C₁₃	—	2	2	no	—
355	C₂³×C₁₃	—	2	2	no	—
356	C₂³×C₁₃	—	2	2	no	—
357	C₂³×C₁₃	—	2	2	no	—
358	C₂³×C₁₃	—	2	4	no	—
359	C₂³×C₁₃	—	2	2	no	—
360	C₂³×C₁₃	—	2	4	no	—
361	C₂³×C₁₃	—	4	4	no	—
362	C₂³×C₁₃	—	4	8	no	—
363	C₂³×C₁₃	—	4	8	no	—
364	C₂³×C₁₃	—	4	8	no	—
365	C₂³×C₁₃	—	4	8	no	—
366	C₂³×C₁₃	—	4	4	no	—
367	C₂³×C₁₃	—	4	4	no	—
368	C₂³×C₁₃	C₂²×D₄	1	2	yes	—
369	C₂³×C₁₃	C₂²×D₄	1	2	yes	—
370	C₂³×C₁₃	C₂²×D₄	1	2	yes	—
371	C₂³×C₁₃	C₂²×D₄	1	2	yes	—
372	C₂³×C₁₃	C₂×#41	1	4	yes	—
373	C₂³×C₁₃	C₂×#41	1	2	yes	—
374	C₂³×C₁₃	C₂×#41	1	4	yes	—
375	C₂³×C₁₃	C₂⁵	1	1	yes	characteristic
376	Q₈×C₁₃	—	4	4	no	—
377	D₄×C₁₃	—	2	16	no	—
378	D₄×C₁₃	—	2	16	no	—
379	D₄×C₁₃	—	4	16	no	—
380	D₄×C₁₃	—	4	8	no	—
381	D₄×C₁₃	—	4	8	no	—
382	D₄×C₁₃	—	4	8	no	—
383	D₄×C₁₃	—	4	4	no	—
384	C₂×C₄×C₁₃	—	2	8	no	—
385	C₂×C₄×C₁₃	—	2	8	no	—
386	C₂×C₄×C₁₃	—	2	1	no	—
387	C₂×C₄×C₁₃	—	2	2	no	—
388	C₂×C₄×C₁₃	—	2	1	no	—
389	C₂×C₄×C₁₃	—	2	4	no	—
390	C₂×C₄×C₁₃	—	2	1	no	—
391	C₂×C₄×C₁₃	—	2	1	no	—
392	C₂×C₄×C₁₃	—	2	2	no	—
393	C₂×C₄×C₁₃	—	2	4	no	—
394	C₂×C₄×C₁₃	—	2	8	no	—
395	C₂×C₄×C₁₃	—	2	8	no	—
396	C₂×C₄×C₁₃	—	2	8	no	—
397	C₂×C₄×C₁₃	—	2	8	no	—
398	C₂×C₄×C₁₃	—	2	2	no	—
399	C₂×C₄×C₁₃	—	2	4	no	—
400	C₂×C₄×C₁₃	—	2	2	no	—
401	C₂×C₄×C₁₃	—	2	2	no	—
402	C₂×C₄×C₁₃	—	2	2	no	—
403	C₂×C₄×C₁₃	—	2	2	no	—
404	C₂×C₄×C₁₃	—	2	2	no	—
405	C₂×C₄×C₁₃	—	2	2	no	—
406	C₂×C₄×C₁₃	—	2	4	no	—
407	C₂×C₄×C₁₃	—	2	4	no	—
408	C₂×C₄×C₁₃	—	2	2	no	—
409	C₂×C₄×C₁₃	—	2	2	no	—
410	C₂×C₄×C₁₃	—	2	2	no	—
411	C₂×C₄×C₁₃	—	2	4	no	—
412	C₂×C₄×C₁₃	—	2	4	no	—
413	C₂×C₄×C₁₃	—	2	2	no	—
414	C₂×C₄×C₁₃	—	4	16	no	—
415	C₂×C₄×C₁₃	—	4	4	no	—
416	C₂×C₄×C₁₃	—	4	4	no	—
417	C₂×C₄×C₁₃	—	4	8	no	—
418	C₂×C₄×C₁₃	—	4	8	no	—
419	C₂×C₄×C₁₃	—	4	8	no	—
420	C₂×C₄×C₁₃	#121	1	16	yes	complemented
421	C₂×C₄×C₁₃	C₂²×D₄	1	8	yes	—
422	C₂×C₄×C₁₃	C₂²×D₄	1	2	yes	—
423	C₂×C₄×C₁₃	C₂²×D₄	1	2	yes	—
424	C₂×C₄×C₁₃	C₂²×D₄	1	2	yes	—
425	C₂×C₄×C₁₃	C₂²×D₄	1	2	yes	—
426	C₂×C₄×C₁₃	C₂²×D₄	1	2	yes	—
427	C₂×C₄×C₁₃	C₂²×D₄	1	2	yes	—
428	C₂×C₄×C₁₃	C₂×#41	1	4	yes	—
429	C₂×C₄×C₁₃	C₂×#41	1	2	yes	—
430	C₂×C₄×C₁₃	C₂×#41	1	2	yes	—
431	C₂²×#41	C₂²×C₁₃	1	1	yes	characteristic
432	C₂³×D₄	C₂²×C₁₃	1	1	yes	characteristic
433	C₂⁴×C₄	C₂²×C₁₃	1	1	yes	characteristic
434	C₂⁴×C₄	C₂²×C₁₃	1	1	yes	characteristic
435	#525	—	2	8	no	—
436	#525	—	2	8	no	—
437	C₂×#123	C₂²×C₁₃	1	2	yes	—
438	C₂×#123	C₂²×C₁₃	1	2	yes	—
439	C₂×C₂²⋊Q₈	C₂²×C₁₃	1	1	yes	characteristic, complemented
440	C₂×C₂²⋊Q₈	C₂²×C₁₃	1	2	yes	complemented
441	C₂×C₂²⋊Q₈	C₂²×C₁₃	1	1	yes	characteristic, complemented
442	C₂×#121	C₂²×C₁₃	1	4	yes	—
443	C₂×#121	C₂²×C₁₃	1	1	yes	characteristic, complemented
444	C₂×#121	C₂²×C₁₃	1	2	yes	complemented
445	C₂×#121	C₂²×C₁₃	1	1	yes	characteristic, complemented
446	C₂×#120	C₂²×C₁₃	1	2	yes	—
447	C₂×#120	C₂²×C₁₃	1	2	yes	—
448	C₂×C₄×D₄	—	2	8	no	—
449	C₂×C₄×D₄	C₂²×C₁₃	1	2	yes	—
450	C₂×C₄×D₄	C₂²×C₁₃	1	2	yes	—
451	C₂×C₄×D₄	C₂²×C₁₃	1	2	yes	—
452	C₂×C₄×D₄	C₂²×C₁₃	1	2	yes	—
453	C₂×C₄×D₄	C₂²×C₁₃	1	2	yes	complemented
454	C₂×C₄×D₄	C₂²×C₁₃	1	4	yes	complemented
455	C₂×C₄×D₄	C₂²×C₁₃	1	2	yes	complemented
456	C₂×#117	—	2	8	no	—
457	C₂×#117	C₂²×C₁₃	1	2	yes	—
458	C₂×#117	C₂²×C₁₃	1	1	yes	characteristic
459	C₂×#117	C₂²×C₁₃	1	1	yes	characteristic
460	C₂×#117	C₂²×C₁₃	1	1	yes	characteristic
461	C₂×#117	C₂²×C₁₃	1	2	yes	complemented
462	C₂×#117	C₂²×C₁₃	1	2	yes	complemented
463	C₂²×C₄⋊C₄	C₂²×C₁₃	1	1	yes	characteristic
464	C₂²×C₄⋊C₄	C₂²×C₁₃	1	2	yes	complemented
465	C₂²×C₂²⋊C₄	C₂²×C₁₃	1	2	yes	—
466	C₂²×C₂²⋊C₄	C₂²×C₁₃	1	1	yes	characteristic
467	C₂²×C₂²⋊C₄	C₂²×C₁₃	1	1	yes	characteristic
468	C₂²×C₄²	C₂²×C₁₃	1	1	yes	characteristic
469	C₂²×C₄²	C₂²×C₁₃	1	2	yes	complemented
470	#398	C₂²×C₁₃	1	4	yes	complemented
471	#397	C₂²×C₁₃	1	4	yes	complemented
472	#396	C₂²×C₁₃	1	4	yes	complemented
473	#396	C₂²×C₁₃	1	4	yes	complemented
474	#394	C₂²×C₁₃	1	4	yes	—
475	#394	C₂²×C₁₃	1	4	yes	complemented
476	#394	C₂²×C₁₃	1	4	yes	complemented
477	#392	C₂²×C₁₃	1	4	yes	—
478	#391	C₂²×C₁₃	1	2	yes	complemented
479	#390	C₂²×C₁₃	1	4	yes	complemented
480	#390	C₂²×C₁₃	1	2	yes	complemented
481	#389	C₂²×C₁₃	1	4	yes	complemented
482	#389	C₂²×C₁₃	1	2	yes	complemented
483	#389	C₂²×C₁₃	1	2	yes	complemented
484	#388	C₂²×C₁₃	1	4	yes	complemented
485	#388	C₂²×C₁₃	1	4	yes	complemented
486	#386	C₂²×C₁₃	1	2	yes	—
487	#386	C₂²×C₁₃	1	4	yes	—
488	#386	C₂²×C₁₃	1	2	yes	—
489	#386	C₂²×C₁₃	1	4	yes	complemented
490	#385	C₂²×C₁₃	1	2	yes	—
491	#385	C₂²×C₁₃	1	2	yes	—
492	#381	C₂²×C₁₃	1	2	yes	—
493	#380	C₂²×C₁₃	1	4	yes	complemented
494	#380	C₂²×C₁₃	1	2	yes	complemented
495	#380	C₂²×C₁₃	1	2	yes	complemented
496	#379	C₂²×C₁₃	1	2	yes	—
497	C₄×C₄⋊C₄	C₂²×C₁₃	1	4	yes	complemented
498	C₄×C₂²⋊C₄	C₂²×C₁₃	1	4	yes	complemented
499	C₄×C₂²⋊C₄	C₂²×C₁₃	1	4	yes	complemented
500	C₂²×C₁₃	—	2	2	no	—
501	C₂²×C₁₃	—	2	2	no	—
502	C₂²×C₁₃	—	2	2	no	—
503	C₂²×C₁₃	—	2	2	no	—
504	C₂²×C₁₃	—	2	4	no	—
505	C₂²×C₁₃	—	2	4	no	—
506	C₂²×C₁₃	—	2	4	no	—
507	C₂²×C₁₃	—	2	4	no	—
508	C₂²×C₁₃	—	2	2	no	—
509	C₂²×C₁₃	—	2	2	no	—
510	C₂²×C₁₃	—	2	4	no	—
511	C₂²×C₁₃	—	2	2	no	—
512	C₂²×C₁₃	—	2	4	no	—
513	C₂²×C₁₃	—	2	4	no	—
514	C₂²×C₁₃	—	4	16	no	—
515	C₂²×C₁₃	—	4	16	no	—
516	C₂²×C₁₃	—	4	2	no	—
517	C₂²×C₁₃	—	4	2	no	—
518	C₂²×C₁₃	—	4	2	no	—
519	C₂²×C₁₃	—	4	2	no	—
520	C₂²×C₁₃	—	4	2	no	—
521	C₂²×C₁₃	—	4	2	no	—
522	C₂²×C₁₃	—	4	2	no	—
523	C₂²×C₁₃	—	4	2	no	—
524	C₂²×C₁₃	—	4	2	no	—
525	C₂²×C₁₃	—	4	4	no	—
526	C₂²×C₁₃	—	4	4	no	—
527	C₂²×C₁₃	C₂×#121	1	4	yes	—
528	C₂²×C₁₃	#525	1	4	yes	complemented
529	C₂²×C₁₃	C₂³×D₄	1	1	yes	characteristic
530	C₂²×C₁₃	C₂³×D₄	1	1	yes	characteristic
531	C₂²×C₁₃	C₂²×#41	1	1	yes	characteristic
532	C₂²×C₁₃	C₂²×#41	1	2	yes	—
533	C₂²×C₁₃	#585	1	2	yes	—
534	C₄×C₁₃	—	2	2	no	—
535	C₄×C₁₃	—	2	2	no	—
536	C₄×C₁₃	—	2	4	no	—
537	C₄×C₁₃	—	2	8	no	—
538	C₄×C₁₃	—	4	2	no	—
539	C₄×C₁₃	—	4	2	no	—
540	C₄×C₁₃	—	4	2	no	—
541	C₄×C₁₃	—	4	2	no	—
542	C₄×C₁₃	—	4	2	no	—
543	C₄×C₁₃	—	4	4	no	—
544	C₄×C₁₃	C₂×#121	1	4	yes	—
545	C₄×C₁₃	C₂×#121	1	4	yes	—
546	C₂⁵	C₂³×C₁₃	1	1	yes	characteristic
547	C₂⁵	C₂³×C₁₃	1	1	yes	characteristic
548	C₂×#41	—	2	4	no	—
549	C₂×#41	—	2	4	no	—
550	C₂×#41	—	2	4	no	—
551	C₂²×Q₈	C₂³×C₁₃	1	1	yes	characteristic
552	C₂²×D₄	—	2	4	no	—
553	C₂²×D₄	—	2	8	no	—
554	C₂²×D₄	C₂³×C₁₃	1	2	yes	—
555	C₂²×D₄	C₂³×C₁₃	1	2	yes	—
556	C₂²×D₄	C₂³×C₁₃	1	2	yes	—
557	C₂²×D₄	C₂³×C₁₃	1	1	yes	characteristic
558	C₂²×D₄	C₂³×C₁₃	1	4	yes	—
559	C₂²×D₄	C₂³×C₁₃	1	2	yes	—
560	C₂²×D₄	C₂³×C₁₃	1	2	yes	—
561	C₂³×C₄	—	2	4	no	—
562	C₂³×C₄	—	2	4	no	—
563	C₂³×C₄	—	2	4	no	—
564	C₂³×C₄	—	2	4	no	—
565	C₂³×C₄	—	2	4	no	—
566	C₂³×C₄	D₄×C₁₃	1	8	yes	complemented
567	C₂³×C₄	C₂³×C₁₃	1	1	yes	characteristic
568	C₂³×C₄	C₂³×C₁₃	1	1	yes	characteristic
569	C₂³×C₄	C₂³×C₁₃	1	2	yes	—
570	C₂³×C₄	C₂³×C₁₃	1	2	yes	—
571	C₂³×C₄	C₂³×C₁₃	1	2	yes	—
572	C₂³×C₄	C₂³×C₁₃	1	4	yes	—
573	C₂³×C₄	C₂³×C₁₃	1	1	yes	characteristic
574	C₂³×C₄	C₂³×C₁₃	1	1	yes	characteristic
575	C₂³×C₄	C₂³×C₁₃	1	1	yes	characteristic
576	C₂³×C₄	C₂³×C₁₃	1	1	yes	characteristic
577	C₂³×C₄	C₂³×C₁₃	1	1	yes	characteristic
578	C₂³×C₄	C₂³×C₁₃	1	1	yes	characteristic
579	C₂³×C₄	C₂³×C₁₃	1	1	yes	characteristic
580	#123	—	2	8	no	—
581	#123	—	2	8	no	—
582	C₂²⋊Q₈	—	2	4	no	—
583	C₂²⋊Q₈	—	2	4	no	—
584	C₂²⋊Q₈	—	2	8	no	—
585	#121	—	2	16	no	—
586	#121	—	2	4	no	—
587	#121	—	2	4	no	—
588	#121	—	2	8	no	—
589	#120	—	2	8	no	—
590	#120	—	2	8	no	—
591	C₄×D₄	—	2	8	no	—
592	C₄×D₄	—	2	8	no	—
593	C₄×D₄	—	2	8	no	—
594	C₄×D₄	—	2	8	no	—
595	C₄×D₄	—	2	8	no	—
596	C₄×D₄	—	2	8	no	—
597	C₄×D₄	—	2	16	no	—
598	#117	—	2	4	no	—
599	#117	—	2	4	no	—
600	#117	—	2	8	no	—
601	#117	—	2	8	no	—
602	#117	—	2	8	no	—
603	#117	D₄×C₁₃	1	8	yes	complemented
604	C₂×C₄⋊C₄	—	2	4	no	—
605	C₂×C₄⋊C₄	—	2	8	no	—
606	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
607	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
608	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
609	C₂×C₄⋊C₄	C₂³×C₁₃	1	4	yes	—
610	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
611	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
612	C₂×C₄⋊C₄	C₂³×C₁₃	1	4	yes	—
613	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
614	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
615	C₂×C₄⋊C₄	C₂³×C₁₃	1	4	yes	—
616	C₂×C₄⋊C₄	C₂³×C₁₃	1	4	yes	—
617	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
618	C₂×C₂²⋊C₄	—	2	4	no	—
619	C₂×C₂²⋊C₄	—	2	4	no	—
620	C₂×C₂²⋊C₄	—	2	8	no	—
621	C₂×C₂²⋊C₄	C₂³×C₁₃	1	2	yes	—
622	C₂×C₂²⋊C₄	C₂³×C₁₃	1	4	yes	—
623	C₂×C₂²⋊C₄	C₂³×C₁₃	1	2	yes	—
624	C₂×C₂²⋊C₄	C₂³×C₁₃	1	2	yes	—
625	C₂×C₂²⋊C₄	C₂³×C₁₃	1	2	yes	—
626	C₂×C₂²⋊C₄	C₂³×C₁₃	1	2	yes	—
627	C₂×C₂²⋊C₄	C₂³×C₁₃	1	2	yes	—
628	C₂×C₂²⋊C₄	C₂³×C₁₃	1	2	yes	—
629	C₂×C₂²⋊C₄	C₂³×C₁₃	1	4	yes	—
630	C₂×C₂²⋊C₄	C₂³×C₁₃	1	2	yes	—
631	C₂×C₂²⋊C₄	C₂³×C₁₃	1	4	yes	—
632	C₂×C₂²⋊C₄	C₂³×C₁₃	1	2	yes	—
633	C₂×C₂²⋊C₄	C₂³×C₁₃	1	2	yes	—
634	C₂×C₂²⋊C₄	C₂³×C₁₃	1	4	yes	—
635	C₂×C₂²⋊C₄	C₂³×C₁₃	1	4	yes	—
636	C₂×C₂²⋊C₄	C₂³×C₁₃	1	4	yes	—
637	C₂×C₂²⋊C₄	C₂³×C₁₃	1	4	yes	—
638	C₂×C₂²⋊C₄	C₂³×C₁₃	1	2	yes	—
639	C₂×C₄²	—	2	4	no	—
640	C₂×C₄²	—	2	8	no	—
641	C₂×C₄²	C₂³×C₁₃	1	2	yes	—
642	C₂×C₄²	C₂³×C₁₃	1	4	yes	—
643	C₂×C₄²	C₂³×C₁₃	1	2	yes	—
644	C₂×C₄²	C₂³×C₁₃	1	2	yes	—
645	C₂×C₄²	C₂³×C₁₃	1	2	yes	—
646	C₂×C₄²	C₂³×C₁₃	1	2	yes	—
647	#95	C₂³×C₁₃	1	4	yes	—
648	#95	C₂³×C₁₃	1	4	yes	—
649	#95	C₂³×C₁₃	1	4	yes	—
650	#95	C₂³×C₁₃	1	4	yes	—
651	#95	C₂³×C₁₃	1	4	yes	—
652	#95	C₂³×C₁₃	1	4	yes	—
653	C₂×C₁₃	—	2	4	no	—
654	C₂×C₁₃	—	2	4	no	—
655	C₂×C₁₃	—	4	2	no	—
656	C₂×C₁₃	—	4	4	no	—
657	C₂×C₁₃	—	8	2	no	—
658	C₂×C₁₃	C₂²×#121	1	1	yes	characteristic
659	C₂×C₁₃	C₂×#525	1	1	yes	characteristic
660	C₂×C₁₃	#3449	1	1	yes	characteristic
661	C₂×C₁₃	D₄×#41	1	2	yes	—
662	C₂×C₁₃	#3475	1	2	yes	—
663	C₂⁴	—	2	2	no	—
664	C₂⁴	—	2	2	no	—
665	C₂⁴	—	2	2	no	—
666	C₂⁴	—	2	4	no	—
667	C₂⁴	—	2	4	no	—
668	C₂⁴	—	2	2	no	—
669	C₂⁴	—	2	2	no	—
670	C₂⁴	—	4	2	no	—
671	C₂⁴	—	4	2	no	—
672	C₂⁴	C₂×D₄×C₁₃	1	4	yes	—
673	C₂⁴	C₂⁴×C₁₃	1	2	yes	—
674	C₂⁴	C₂⁴×C₁₃	1	1	yes	characteristic
675	C₂⁴	C₂⁴×C₁₃	1	2	yes	—
676	C₂⁴	C₂⁴×C₁₃	1	1	yes	characteristic
677	C₂⁴	C₂⁴×C₁₃	1	1	yes	characteristic
678	#41	—	4	16	no	—
679	C₂×Q₈	—	2	2	no	—
680	C₂×Q₈	—	2	2	no	—
681	C₂×Q₈	—	2	2	no	—
682	C₂×D₄	—	2	32	no	—
683	C₂×D₄	—	2	4	no	—
684	C₂×D₄	—	2	4	no	—
685	C₂×D₄	—	2	4	no	—
686	C₂×D₄	—	2	4	no	—
687	C₂×D₄	—	2	4	no	—
688	C₂×D₄	—	2	4	no	—
689	C₂×D₄	—	2	4	no	—
690	C₂×D₄	—	2	4	no	—
691	C₂×D₄	—	2	8	no	—
692	C₂×D₄	—	2	8	no	—
693	C₂×D₄	—	2	4	no	—
694	C₂×D₄	—	2	8	no	—
695	C₂×D₄	—	2	2	no	—
696	C₂×D₄	—	2	2	no	—
697	C₂×D₄	—	2	4	no	—
698	C₂×D₄	—	2	2	no	—
699	C₂×D₄	—	4	4	no	—
700	C₂×D₄	—	4	4	no	—
701	C₂×D₄	C₁₃×#41	1	8	yes	complemented
702	C₂²×C₄	—	2	2	no	—
703	C₂²×C₄	—	2	2	no	—
704	C₂²×C₄	—	2	2	no	—
705	C₂²×C₄	—	2	32	no	—
706	C₂²×C₄	—	2	2	no	—
707	C₂²×C₄	—	2	2	no	—
708	C₂²×C₄	—	2	2	no	—
709	C₂²×C₄	—	2	2	no	—
710	C₂²×C₄	—	2	2	no	—
711	C₂²×C₄	—	2	2	no	—
712	C₂²×C₄	—	2	2	no	—
713	C₂²×C₄	—	2	2	no	—
714	C₂²×C₄	—	2	4	no	—
715	C₂²×C₄	—	2	2	no	—
716	C₂²×C₄	—	2	2	no	—
717	C₂²×C₄	—	2	2	no	—
718	C₂²×C₄	—	2	8	no	—
719	C₂²×C₄	—	2	2	no	—
720	C₂²×C₄	—	2	8	no	—
721	C₂²×C₄	—	2	4	no	—
722	C₂²×C₄	—	2	4	no	—
723	C₂²×C₄	—	2	4	no	—
724	C₂²×C₄	—	2	4	no	—
725	C₂²×C₄	—	2	4	no	—
726	C₂²×C₄	—	2	4	no	—
727	C₂²×C₄	—	2	4	no	—
728	C₂²×C₄	—	2	4	no	—
729	C₂²×C₄	—	2	4	no	—
730	C₂²×C₄	—	4	4	no	—
731	C₂²×C₄	—	4	2	no	—
732	C₂²×C₄	—	4	16	no	—
733	C₂²×C₄	C₂×D₄×C₁₃	1	4	yes	—
734	C₂²×C₄	C₂×D₄×C₁₃	1	4	yes	—
735	C₂²×C₄	C₂×D₄×C₁₃	1	4	yes	—
736	C₂²×C₄	C₂×D₄×C₁₃	1	4	yes	—
737	C₂²×C₄	C₂×D₄×C₁₃	1	4	yes	—
738	C₂²×C₄	C₂×D₄×C₁₃	1	4	yes	—
739	C₂²×C₄	C₂×D₄×C₁₃	1	4	yes	—
740	C₂²×C₄	C₁₃×#41	1	4	yes	—
741	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
742	C₂²×C₄	C₂⁴×C₁₃	1	4	yes	—
743	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
744	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
745	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
746	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
747	C₂²×C₄	C₂⁴×C₁₃	1	4	yes	—
748	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
749	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
750	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
751	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
752	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
753	C₄⋊C₄	—	2	8	no	—
754	C₄⋊C₄	—	2	4	no	—
755	C₄⋊C₄	—	2	4	no	—
756	C₄⋊C₄	—	2	4	no	—
757	C₄⋊C₄	—	2	2	no	—
758	C₄⋊C₄	—	2	2	no	—
759	C₄⋊C₄	—	2	4	no	—
760	C₄⋊C₄	—	2	4	no	—
761	C₄⋊C₄	—	2	8	no	—
762	C₄⋊C₄	—	2	8	no	—
763	C₄⋊C₄	—	4	4	no	—
764	C₄⋊C₄	C₂×D₄×C₁₃	1	8	yes	complemented
765	C₂²⋊C₄	—	2	4	no	—
766	C₂²⋊C₄	—	2	4	no	—
767	C₂²⋊C₄	—	2	4	no	—
768	C₂²⋊C₄	—	2	4	no	—
769	C₂²⋊C₄	—	2	4	no	—
770	C₂²⋊C₄	—	2	4	no	—
771	C₂²⋊C₄	—	2	8	no	—
772	C₂²⋊C₄	—	2	8	no	—
773	C₂²⋊C₄	—	2	4	no	—
774	C₂²⋊C₄	—	2	4	no	—
775	C₂²⋊C₄	—	2	8	no	—
776	C₂²⋊C₄	—	2	4	no	—
777	C₂²⋊C₄	—	2	4	no	—
778	C₂²⋊C₄	—	2	8	no	—
779	C₂²⋊C₄	—	2	8	no	—
780	C₂²⋊C₄	—	4	4	no	—
781	C₂²⋊C₄	—	4	4	no	—
782	C₂²⋊C₄	C₂×D₄×C₁₃	1	8	yes	—
783	C₄²	—	2	8	no	—
784	C₄²	—	2	4	no	—
785	C₄²	—	2	4	no	—
786	C₄²	—	2	4	no	—
787	C₄²	—	2	4	no	—
788	C₄²	C₂×D₄×C₁₃	1	8	yes	complemented
789	C₁₃	#34737	1	1	yes	characteristic, direct product factor, Sylow
790	C₂³	—	2	1	no	—
791	C₂³	—	2	1	no	—
792	C₂³	—	2	2	no	—
793	C₂³	—	2	2	no	—
794	C₂³	—	2	2	no	—
795	C₂³	—	2	8	no	—
796	C₂³	—	2	8	no	—
797	C₂³	—	2	8	no	—
798	C₂³	—	2	1	no	—
799	C₂³	—	2	2	no	—
800	C₂³	—	2	2	no	—
801	C₂³	—	2	1	no	—
802	C₂³	—	2	2	no	—
803	C₂³	—	2	2	no	—
804	C₂³	—	2	2	no	—
805	C₂³	—	2	2	no	—
806	C₂³	—	2	2	no	—
807	C₂³	—	2	2	no	—
808	C₂³	—	2	2	no	—
809	C₂³	—	2	2	no	—
810	C₂³	—	2	4	no	—
811	C₂³	—	2	2	no	—
812	C₂³	—	2	4	no	—
813	C₂³	—	4	4	no	—
814	C₂³	—	4	8	no	—
815	C₂³	—	4	8	no	—
816	C₂³	—	4	8	no	—
817	C₂³	—	4	8	no	—
818	C₂³	—	4	4	no	—
819	C₂³	—	4	4	no	—
820	C₂³	C₂²×D₄×C₁₃	1	2	yes	—
821	C₂³	C₂²×D₄×C₁₃	1	2	yes	—
822	C₂³	C₂²×D₄×C₁₃	1	2	yes	—
823	C₂³	C₂²×D₄×C₁₃	1	2	yes	—
824	C₂³	C₂×C₁₃×#41	1	4	yes	—
825	C₂³	C₂×C₁₃×#41	1	2	yes	—
826	C₂³	C₂×C₁₃×#41	1	4	yes	—
827	C₂³	C₂⁵×C₁₃	1	1	yes	characteristic
828	Q₈	—	4	4	no	—
829	D₄	—	2	16	no	—
830	D₄	—	2	16	no	—
831	D₄	—	4	16	no	—
832	D₄	—	4	8	no	—
833	D₄	—	4	8	no	—
834	D₄	—	4	8	no	—
835	D₄	—	4	4	no	—
836	C₂×C₄	—	2	8	no	—
837	C₂×C₄	—	2	8	no	—
838	C₂×C₄	—	2	1	no	—
839	C₂×C₄	—	2	2	no	—
840	C₂×C₄	—	2	1	no	—
841	C₂×C₄	—	2	4	no	—
842	C₂×C₄	—	2	1	no	—
843	C₂×C₄	—	2	1	no	—
844	C₂×C₄	—	2	2	no	—
845	C₂×C₄	—	2	4	no	—
846	C₂×C₄	—	2	8	no	—
847	C₂×C₄	—	2	8	no	—
848	C₂×C₄	—	2	8	no	—
849	C₂×C₄	—	2	8	no	—
850	C₂×C₄	—	2	2	no	—
851	C₂×C₄	—	2	4	no	—
852	C₂×C₄	—	2	2	no	—
853	C₂×C₄	—	2	2	no	—
854	C₂×C₄	—	2	2	no	—
855	C₂×C₄	—	2	2	no	—
856	C₂×C₄	—	2	2	no	—
857	C₂×C₄	—	2	2	no	—
858	C₂×C₄	—	2	4	no	—
859	C₂×C₄	—	2	4	no	—
860	C₂×C₄	—	2	2	no	—
861	C₂×C₄	—	2	2	no	—
862	C₂×C₄	—	2	2	no	—
863	C₂×C₄	—	2	4	no	—
864	C₂×C₄	—	2	4	no	—
865	C₂×C₄	—	2	2	no	—
866	C₂×C₄	—	4	16	no	—
867	C₂×C₄	—	4	4	no	—
868	C₂×C₄	—	4	4	no	—
869	C₂×C₄	—	4	8	no	—
870	C₂×C₄	—	4	8	no	—
871	C₂×C₄	—	4	8	no	—
872	C₂×C₄	C₁₃×#121	1	16	yes	complemented
873	C₂×C₄	C₂²×D₄×C₁₃	1	8	yes	—
874	C₂×C₄	C₂²×D₄×C₁₃	1	2	yes	—
875	C₂×C₄	C₂²×D₄×C₁₃	1	2	yes	—
876	C₂×C₄	C₂²×D₄×C₁₃	1	2	yes	—
877	C₂×C₄	C₂²×D₄×C₁₃	1	2	yes	—
878	C₂×C₄	C₂²×D₄×C₁₃	1	2	yes	—
879	C₂×C₄	C₂²×D₄×C₁₃	1	2	yes	—
880	C₂×C₄	C₂×C₁₃×#41	1	4	yes	—
881	C₂×C₄	C₂×C₁₃×#41	1	2	yes	—
882	C₂×C₄	C₂×C₁₃×#41	1	2	yes	—
883	C₂²	—	2	2	no	—
884	C₂²	—	2	2	no	—
885	C₂²	—	2	2	no	—
886	C₂²	—	2	2	no	—
887	C₂²	—	2	4	no	—
888	C₂²	—	2	4	no	—
889	C₂²	—	2	4	no	—
890	C₂²	—	2	4	no	—
891	C₂²	—	2	2	no	—
892	C₂²	—	2	2	no	—
893	C₂²	—	2	4	no	—
894	C₂²	—	2	2	no	—
895	C₂²	—	2	4	no	—
896	C₂²	—	2	4	no	—
897	C₂²	—	4	16	no	—
898	C₂²	—	4	16	no	—
899	C₂²	—	4	2	no	—
900	C₂²	—	4	2	no	—
901	C₂²	—	4	2	no	—
902	C₂²	—	4	2	no	—
903	C₂²	—	4	2	no	—
904	C₂²	—	4	2	no	—
905	C₂²	—	4	2	no	—
906	C₂²	—	4	2	no	—
907	C₂²	—	4	2	no	—
908	C₂²	—	4	4	no	—
909	C₂²	—	4	4	no	—
910	C₂²	C₂×C₁₃×#121	1	4	yes	—
911	C₂²	C₁₃×#525	1	4	yes	complemented
912	C₂²	C₂³×D₄×C₁₃	1	1	yes	characteristic
913	C₂²	C₂³×D₄×C₁₃	1	1	yes	characteristic
914	C₂²	C₂²×C₁₃×#41	1	1	yes	characteristic
915	C₂²	C₂²×C₁₃×#41	1	2	yes	—
916	C₂²	C₁₃×#585	1	2	yes	—
917	C₄	—	2	2	no	—
918	C₄	—	2	2	no	—
919	C₄	—	2	4	no	—
920	C₄	—	2	8	no	—
921	C₄	—	4	2	no	—
922	C₄	—	4	2	no	—
923	C₄	—	4	2	no	—
924	C₄	—	4	2	no	—
925	C₄	—	4	2	no	—
926	C₄	—	4	4	no	—
927	C₄	C₂×C₁₃×#121	1	4	yes	—
928	C₄	C₂×C₁₃×#121	1	4	yes	—
929	C₂	—	2	4	no	—
930	C₂	—	2	4	no	—
931	C₂	—	4	2	no	—
932	C₂	—	4	4	no	—
933	C₂	—	8	2	no	—
934	C₂	C₂²×C₁₃×#121	1	1	yes	characteristic
935	C₂	C₂×C₁₃×#525	1	1	yes	characteristic
936	C₂	C₁₃×#3449	1	1	yes	characteristic
937	C₂	D₄×C₁₃×#41	1	2	yes	—
938	C₂	C₁₃×#3475	1	2	yes	—

	subgroup	G/H
center	C₂²×C₄×C₁₃	C₂⁴
commutator, Frattini, cosocle	C₂³	C₂⁵×C₁₃
socle	C₂³×C₁₃	C₂⁵
LCS	G ▷ C₂³ ▷ C₁
UCS	C₁ ◁ C₂²×C₄×C₁₃ ◁ G

Complements

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

N	H ≅ G/N	type
1. C₂×C₁₃×#525	C₂	semidirect
2. C₂×C₁₃×#525	C₂	semidirect
3. C₂²×C₄×D₄×C₁₃	C₂	semidirect
4. C₂²×C₁₃×#117	C₂	semidirect
5. C₁₃×#2417	C₂	semidirect
6. C₁₃×#2416	C₂	semidirect
7. C₁₃×#2415	C₂	semidirect
8. C₁₃×#2414	C₂	semidirect
9. C₁₃×#2413	C₂	semidirect
10. C₁₃×#2412	C₂	semidirect
11. C₁₃×#2411	C₂	semidirect
12. C₁₃×#2410	C₂	semidirect
13. C₁₃×#2392	C₂	semidirect
14. C₄×C₁₃×#121	C₂	semidirect
15. C₁₃×#2297	C₂	semidirect
16. C₁₃×#2296	C₂	semidirect
17. C₁₃×#2280	C₂	semidirect
26. C₂×C₁₃×C₂²⋊Q₈	C₂²	semidirect
27. C₂×C₁₃×C₂²⋊Q₈	C₂²	semidirect
28. C₂×C₁₃×C₂²⋊Q₈	C₂²	semidirect
30. C₂×C₁₃×#121	C₂²	semidirect
31. C₂×C₁₃×#121	C₂²	semidirect
32. C₂×C₁₃×#121	C₂²	semidirect
40. C₂×C₄×D₄×C₁₃	C₂²	semidirect
41. C₂×C₄×D₄×C₁₃	C₂²	semidirect
42. C₂×C₄×D₄×C₁₃	C₂²	semidirect
48. C₂×C₁₃×#117	C₂²	semidirect
49. C₂×C₁₃×#117	C₂²	semidirect
51. C₂²×C₁₃×C₄⋊C₄	C₂²	semidirect
56. C₂²×C₄²×C₁₃	C₂²	semidirect
57. C₁₃×#398	C₂²	semidirect
58. C₁₃×#397	C₂²	semidirect
59. C₁₃×#396	C₂²	semidirect
60. C₁₃×#396	C₂²	semidirect
62. C₁₃×#394	C₂²	semidirect
63. C₁₃×#394	C₂²	semidirect
65. C₁₃×#391	C₂²	semidirect
66. C₁₃×#390	C₂²	semidirect
67. C₁₃×#390	C₂²	semidirect
68. C₁₃×#389	C₂²	semidirect
69. C₁₃×#389	C₂²	semidirect
70. C₁₃×#389	C₂²	semidirect
71. C₁₃×#388	C₂²	semidirect
72. C₁₃×#388	C₂²	semidirect
76. C₁₃×#386	C₂²	semidirect
80. C₁₃×#380	C₂²	semidirect
81. C₁₃×#380	C₂²	semidirect
82. C₁₃×#380	C₂²	semidirect
84. C₄×C₁₃×C₄⋊C₄	C₂²	semidirect
85. C₄×C₁₃×C₂²⋊C₄	C₂²	semidirect
86. C₄×C₁₃×C₂²⋊C₄	C₂²	semidirect
107. C₂³×C₄×C₁₃	D₄	semidirect
144. C₁₃×#117	D₄	semidirect
194. #34737	C₁₃	direct (N × H)
233. C₂×D₄×C₁₃	#41	semidirect
296. C₁₃×C₄⋊C₄	C₂×D₄	semidirect
320. C₄²×C₁₃	C₂×D₄	semidirect
321. C₂×#525	C₂×C₁₃	semidirect
322. C₂×#525	C₂×C₁₃	semidirect
323. C₂²×C₄×D₄	C₂×C₁₃	semidirect
324. C₂²×#117	C₂×C₁₃	semidirect
325. #2417	C₂×C₁₃	semidirect
326. #2416	C₂×C₁₃	semidirect
327. #2415	C₂×C₁₃	semidirect
328. #2414	C₂×C₁₃	semidirect
329. #2413	C₂×C₁₃	semidirect
330. #2412	C₂×C₁₃	semidirect
331. #2411	C₂×C₁₃	semidirect
332. #2410	C₂×C₁₃	semidirect
333. #2392	C₂×C₁₃	semidirect
334. C₄×#121	C₂×C₁₃	semidirect
335. #2297	C₂×C₁₃	semidirect
336. #2296	C₂×C₁₃	semidirect
337. #2280	C₂×C₁₃	semidirect
420. C₂×C₄×C₁₃	#121	semidirect
439. C₂×C₂²⋊Q₈	C₂²×C₁₃	semidirect
440. C₂×C₂²⋊Q₈	C₂²×C₁₃	semidirect
441. C₂×C₂²⋊Q₈	C₂²×C₁₃	semidirect
443. C₂×#121	C₂²×C₁₃	semidirect
444. C₂×#121	C₂²×C₁₃	semidirect
445. C₂×#121	C₂²×C₁₃	semidirect
453. C₂×C₄×D₄	C₂²×C₁₃	semidirect
454. C₂×C₄×D₄	C₂²×C₁₃	semidirect
455. C₂×C₄×D₄	C₂²×C₁₃	semidirect
461. C₂×#117	C₂²×C₁₃	semidirect
462. C₂×#117	C₂²×C₁₃	semidirect
464. C₂²×C₄⋊C₄	C₂²×C₁₃	semidirect
469. C₂²×C₄²	C₂²×C₁₃	semidirect
470. #398	C₂²×C₁₃	semidirect
471. #397	C₂²×C₁₃	semidirect
472. #396	C₂²×C₁₃	semidirect
473. #396	C₂²×C₁₃	semidirect
475. #394	C₂²×C₁₃	semidirect
476. #394	C₂²×C₁₃	semidirect
478. #391	C₂²×C₁₃	semidirect
479. #390	C₂²×C₁₃	semidirect
480. #390	C₂²×C₁₃	semidirect
481. #389	C₂²×C₁₃	semidirect
482. #389	C₂²×C₁₃	semidirect
483. #389	C₂²×C₁₃	semidirect
484. #388	C₂²×C₁₃	semidirect
485. #388	C₂²×C₁₃	semidirect
489. #386	C₂²×C₁₃	semidirect
493. #380	C₂²×C₁₃	semidirect
494. #380	C₂²×C₁₃	semidirect
495. #380	C₂²×C₁₃	semidirect
497. C₄×C₄⋊C₄	C₂²×C₁₃	semidirect
498. C₄×C₂²⋊C₄	C₂²×C₁₃	semidirect
499. C₄×C₂²⋊C₄	C₂²×C₁₃	semidirect
528. C₂²×C₁₃	#525	semidirect
566. C₂³×C₄	D₄×C₁₃	semidirect
603. #117	D₄×C₁₃	semidirect
701. C₂×D₄	C₁₃×#41	semidirect
764. C₄⋊C₄	C₂×D₄×C₁₃	semidirect
788. C₄²	C₂×D₄×C₁₃	semidirect
789. C₁₃	#34737	direct (N × H)
872. C₂×C₄	C₁₃×#121	semidirect
911. C₂²	C₁₃×#525	semidirect

Maximal subgroups

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

subgroup	index
C₂×C₁₃×#525	2
C₂²×C₄×D₄×C₁₃	2
C₂²×C₁₃×#117	2
C₁₃×#2417	2
C₁₃×#2416	2
C₁₃×#2415	2
C₁₃×#2414	2
C₁₃×#2413	2
C₁₃×#2412	2
C₁₃×#2411	2
C₁₃×#2410	2
C₁₃×#2392	2
C₄×C₁₃×#121	2
C₁₃×#2297	2
C₁₃×#2296	2
C₁₃×#2280	2
#34737	13

Subgroups — C13×#34737 #15721076

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₃×#34737 #15721076