Subgroups — D₄×C₁₃×#137 #15747408

Order 3328.

2746 conjugacy classes of subgroups.

The subgroup lattice has 1014 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂²×C₁₃×#137	C₂	1	2	yes	maximal, complemented
2	D₄×C₁₃×#41	C₂	1	1	yes	maximal, characteristic
3	C₂×D₄×Q₈×C₁₃	C₂	1	1	yes	maximal, characteristic, complemented
4	D₄×C₁₃×Q₁₆	C₂	1	2	yes	maximal, complemented
5	D₄×C₁₃×SD₁₆	C₂	1	2	yes	maximal, complemented
6	C₁₃×#3278	C₂	1	2	yes	maximal, complemented
7	C₁₃×#3276	C₂	1	2	yes	maximal, complemented
8	C₁₃×#3270	C₂	1	4	yes	maximal, complemented
9	C₁₃×#3266	C₂	1	4	yes	maximal, complemented
10	C₁₃×#3152	C₂	1	1	yes	maximal, characteristic, complemented
11	C₁₃×#3056	C₂	1	2	yes	maximal, complemented
12	C₁₃×#3039	C₂	1	1	yes	maximal, characteristic, complemented
13	C₁₃×#3037	C₂	1	1	yes	maximal, characteristic, complemented
14	C₁₃×#3007	C₂	1	2	yes	maximal, complemented
15	C₁₃×#3004	C₂	1	2	yes	maximal, complemented
16	C₄×C₁₃×#137	C₂	1	1	yes	maximal, characteristic, complemented
17	D₄×C₁₃×M₁₆	C₂	1	1	yes	maximal, characteristic, complemented
18	C₂²×C₁₃×#41	C₂²	1	2	yes	—
19	C₂³×Q₈×C₁₃	C₂²	1	2	yes	complemented
20	C₂×C₁₃×#137	—	2	16	no	—
21	C₂×C₁₃×#137	C₂²	1	2	yes	—
22	C₂×C₁₃×#137	C₂²	1	1	yes	characteristic
23	C₂×C₁₃×#137	C₂²	1	4	yes	complemented
24	C₂×C₁₃×#137	C₂²	1	4	yes	complemented
25	C₂×C₁₃×#137	C₂²	1	2	yes	complemented
26	C₂×C₁₃×#137	C₂²	1	2	yes	complemented
27	C₂×C₁₃×#137	C₂²	1	2	yes	complemented
28	C₂²×C₁₃×Q₁₆	C₂²	1	4	yes	complemented
29	C₂²×C₁₃×SD₁₆	C₂²	1	4	yes	complemented
30	C₂²×C₁₃×M₁₆	C₂²	1	2	yes	complemented
31	C₁₃×#550	C₂²	1	1	yes	characteristic
32	D₄×Q₈×C₁₃	—	2	1	no	—
33	D₄×Q₈×C₁₃	—	2	2	no	—
34	D₄×Q₈×C₁₃	—	2	1	no	—
35	D₄×Q₈×C₁₃	C₂²	1	2	yes	—
36	D₄×Q₈×C₁₃	C₂²	1	1	yes	characteristic
37	D₄×Q₈×C₁₃	C₂²	1	4	yes	complemented
38	D₄×Q₈×C₁₃	C₂²	1	2	yes	complemented
39	C₁₃×#548	C₂²	1	2	yes	—
40	C₁₃×#547	—	2	1	no	—
41	C₁₃×#547	C₂²	1	1	yes	characteristic
42	C₁₃×#546	—	2	2	no	—
43	C₁₃×#546	C₂²	1	2	yes	—
44	D₄²×C₁₃	—	2	1	no	—
45	D₄²×C₁₃	C₂²	1	1	yes	characteristic
46	C₁₃×#532	—	2	1	no	—
47	C₁₃×#532	C₂²	1	1	yes	characteristic
48	C₂×C₁₃×C₄⋊Q₈	—	2	1	no	—
49	C₂×C₁₃×C₄⋊Q₈	C₂²	1	1	yes	characteristic, complemented
50	C₁₃×#525	—	2	2	no	—
51	C₁₃×#525	C₂²	1	2	yes	—
52	C₂×C₁₃×C₂²⋊Q₈	—	2	2	no	—
53	C₂×C₁₃×C₂²⋊Q₈	C₂²	1	2	yes	complemented
54	C₄×C₁₃×#41	C₂²	1	1	yes	characteristic
55	C₂×C₄×Q₈×C₁₃	C₂²	1	1	yes	characteristic, complemented
56	C₂×C₄×D₄×C₁₃	—	2	1	no	—
57	C₂×C₄×D₄×C₁₃	—	2	1	no	—
58	C₂×C₄×D₄×C₁₃	C₂²	1	1	yes	characteristic
59	C₁₃×#497	C₂²	1	4	yes	complemented
60	C₁₃×#494	C₂²	1	2	yes	complemented
61	C₁₃×#492	C₂²	1	2	yes	complemented
62	C₁₃×#470	C₂²	1	4	yes	complemented
63	C₁₃×#468	C₂²	1	4	yes	complemented
64	C₁₃×#467	C₂²	1	4	yes	complemented
65	C₁₃×#465	C₂²	1	4	yes	complemented
66	C₁₃×#464	C₂²	1	4	yes	complemented
67	C₁₃×#462	C₂²	1	2	yes	complemented
68	C₁₃×#462	C₂²	1	2	yes	complemented
69	C₁₃×#462	C₂²	1	2	yes	complemented
70	C₁₃×#461	C₂²	1	2	yes	complemented
71	C₁₃×#461	C₂²	1	2	yes	complemented
72	C₁₃×#460	C₂²	1	2	yes	complemented
73	C₁₃×#452	C₂²	1	4	yes	complemented
74	C₁₃×#452	C₂²	1	4	yes	complemented
75	C₁₃×#451	C₂²	1	4	yes	complemented
76	C₁₃×#451	C₂²	1	4	yes	complemented
77	C₁₃×#451	C₂²	1	4	yes	complemented
78	C₁₃×#450	C₂²	1	4	yes	complemented
79	C₁₃×#448	C₂²	1	4	yes	complemented
80	C₁₃×#448	C₂²	1	4	yes	complemented
81	C₁₃×#441	C₂²	1	2	yes	complemented
82	C₁₃×#440	C₂²	1	2	yes	complemented
83	C₄×C₁₃×Q₁₆	C₂²	1	2	yes	complemented
84	C₄×C₁₃×SD₁₆	C₂²	1	2	yes	complemented
85	C₁₃×#436	C₂²	1	2	yes	complemented
86	C₁₃×#435	C₂²	1	4	yes	complemented
87	C₈×D₄×C₁₃	C₂²	1	2	yes	—
88	C₁₃×#428	C₂²	1	1	yes	characteristic, complemented
89	C₁₃×#423	C₂²	1	1	yes	characteristic, complemented
90	C₁₃×#419	C₂²	1	2	yes	complemented
91	C₁₃×#419	C₂²	1	1	yes	characteristic, complemented
92	C₁₃×#417	C₂²	1	1	yes	characteristic
93	C₁₃×#417	C₂²	1	2	yes	complemented
94	C₁₃×#407	C₂²	1	2	yes	complemented
95	C₄×C₁₃×M₁₆	C₂²	1	1	yes	characteristic, complemented
96	C₂×C₁₃×#41	—	2	2	no	—
97	C₂×C₁₃×#41	—	2	2	no	—
98	C₂×C₁₃×#41	—	2	8	no	—
99	C₂×C₁₃×#41	—	4	4	no	—
100	C₂×C₁₃×#41	C₂³	1	2	yes	—
101	C₂×C₁₃×#41	C₂³	1	2	yes	—
102	C₂×C₁₃×#41	C₂³	1	2	yes	—
103	C₂×C₁₃×#41	C₂³	1	1	yes	characteristic
104	C₂²×Q₈×C₁₃	—	2	2	no	—
105	C₂²×Q₈×C₁₃	—	2	2	no	—
106	C₂²×Q₈×C₁₃	—	2	2	no	—
107	C₂²×Q₈×C₁₃	—	2	8	no	—
108	C₂²×Q₈×C₁₃	—	4	4	no	—
109	C₂²×Q₈×C₁₃	C₂³	1	2	yes	—
110	C₂²×Q₈×C₁₃	C₂³	1	4	yes	—
111	C₂²×Q₈×C₁₃	C₂³	1	4	yes	—
112	C₂²×Q₈×C₁₃	C₂³	1	2	yes	—
113	C₂²×Q₈×C₁₃	C₂³	1	1	yes	characteristic
114	C₂²×D₄×C₁₃	—	2	2	no	—
115	C₂²×D₄×C₁₃	—	2	1	no	—
116	C₂²×D₄×C₁₃	D₄	1	1	yes	characteristic
117	C₂²×D₄×C₁₃	C₂³	1	2	yes	—
118	C₂³×C₄×C₁₃	—	2	2	no	—
119	C₂³×C₄×C₁₃	—	2	2	no	—
120	C₂³×C₄×C₁₃	C₂³	1	2	yes	—
121	C₁₃×#137	—	2	8	no	—
122	C₁₃×#137	—	2	8	no	—
123	C₁₃×#137	—	2	16	no	—
124	C₁₃×#137	—	2	16	no	—
125	C₁₃×#137	—	2	8	no	—
126	C₁₃×#137	—	4	4	no	—
127	C₁₃×#137	D₄	1	8	yes	direct product factor
128	C₂×C₁₃×Q₁₆	—	2	16	no	—
129	C₂×C₁₃×Q₁₆	C₂³	1	4	yes	—
130	C₂×C₁₃×Q₁₆	C₂³	1	4	yes	—
131	C₂×C₁₃×Q₁₆	C₂³	1	4	yes	—
132	C₂×C₁₃×Q₁₆	C₂³	1	4	yes	—
133	C₂×C₁₃×Q₁₆	C₂³	1	2	yes	—
134	C₂×C₁₃×SD₁₆	—	2	16	no	—
135	C₂×C₁₃×SD₁₆	C₂³	1	4	yes	—
136	C₂×C₁₃×SD₁₆	C₂³	1	4	yes	—
137	C₂×C₁₃×SD₁₆	C₂³	1	4	yes	—
138	C₂×C₁₃×SD₁₆	C₂³	1	4	yes	—
139	C₂×C₁₃×SD₁₆	C₂³	1	2	yes	—
140	C₂×C₁₃×M₁₆	—	2	8	no	—
141	C₂×C₁₃×M₁₆	C₂³	1	1	yes	characteristic
142	C₂×C₁₃×M₁₆	C₂³	1	2	yes	—
143	C₂×C₁₃×M₁₆	C₂³	1	4	yes	—
144	C₂×C₁₃×M₁₆	C₂³	1	1	yes	characteristic
145	C₂²×C₈×C₁₃	C₂³	1	4	yes	—
146	C₁₃×C₄⋊Q₈	—	2	2	no	—
147	C₁₃×C₄⋊Q₈	—	2	2	no	—
148	C₁₃×C₄⋊Q₈	—	2	4	no	—
149	C₁₃×C₄⋊Q₈	—	2	1	no	—
150	C₁₃×C₄⋊Q₈	—	2	1	no	—
151	C₁₃×C₄⋊Q₈	—	2	1	no	—
152	C₁₃×C₄⋊Q₈	C₂³	1	2	yes	—
153	C₁₃×C₄⋊Q₈	C₂³	1	2	yes	—
154	C₁₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
155	C₁₃×#127	—	2	1	no	—
156	C₁₃×#127	C₂³	1	1	yes	characteristic
157	C₁₃×#124	—	2	2	no	—
158	C₁₃×#124	C₂³	1	2	yes	—
159	C₁₃×#123	—	2	2	no	—
160	C₁₃×#123	—	2	2	no	—
161	C₁₃×#123	—	2	2	no	—
162	C₁₃×C₂²⋊Q₈	—	2	2	no	—
163	C₁₃×C₂²⋊Q₈	—	2	2	no	—
164	C₁₃×C₂²⋊Q₈	—	2	2	no	—
165	C₁₃×C₂²⋊Q₈	—	2	4	no	—
166	C₁₃×C₂²⋊Q₈	—	2	4	no	—
167	C₁₃×C₂²⋊Q₈	—	2	4	no	—
168	C₁₃×C₂²⋊Q₈	—	2	4	no	—
169	C₁₃×C₂²⋊Q₈	—	2	2	no	—
170	C₁₃×C₂²⋊Q₈	C₂³	1	4	yes	—
171	C₁₃×C₂²⋊Q₈	C₂³	1	2	yes	—
172	C₁₃×C₂²⋊Q₈	C₂³	1	2	yes	—
173	C₁₃×C₂²⋊Q₈	C₂³	1	4	yes	—
174	C₁₃×#121	—	2	2	no	—
175	C₁₃×#121	—	2	1	no	—
176	C₁₃×#121	—	2	1	no	—
177	C₁₃×#121	—	2	1	no	—
178	C₁₃×#121	—	2	1	no	—
179	C₁₃×#121	—	2	2	no	—
180	C₁₃×#121	—	2	2	no	—
181	C₁₃×#121	C₂³	1	2	yes	—
182	C₁₃×#121	C₂³	1	2	yes	—
183	C₁₃×#120	—	2	2	no	—
184	C₁₃×#120	—	2	2	no	—
185	C₁₃×#120	—	2	2	no	—
186	C₄×Q₈×C₁₃	—	2	1	no	—
187	C₄×Q₈×C₁₃	—	2	1	no	—
188	C₄×Q₈×C₁₃	C₂³	1	2	yes	—
189	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
190	C₄×Q₈×C₁₃	C₂³	1	2	yes	—
191	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
192	C₄×D₄×C₁₃	—	2	1	no	—
193	C₄×D₄×C₁₃	—	2	2	no	—
194	C₄×D₄×C₁₃	—	2	4	no	—
195	C₄×D₄×C₁₃	—	2	2	no	—
196	C₄×D₄×C₁₃	—	2	2	no	—
197	C₄×D₄×C₁₃	—	2	1	no	—
198	C₄×D₄×C₁₃	—	2	1	no	—
199	C₄×D₄×C₁₃	—	2	2	no	—
200	C₄×D₄×C₁₃	—	2	1	no	—
201	C₄×D₄×C₁₃	—	2	2	no	—
202	C₄×D₄×C₁₃	—	2	1	no	—
203	C₄×D₄×C₁₃	—	2	1	no	—
204	C₄×D₄×C₁₃	D₄	1	1	yes	characteristic
205	C₄×D₄×C₁₃	D₄	1	2	yes	—
206	C₄×D₄×C₁₃	D₄	1	1	yes	characteristic
207	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
208	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
209	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
210	C₄×D₄×C₁₃	C₂³	1	2	yes	—
211	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
212	C₁₃×#117	—	2	1	no	—
213	C₁₃×#117	C₂³	1	1	yes	characteristic
214	C₂×C₁₃×C₄⋊C₄	—	2	1	no	—
215	C₂×C₁₃×C₄⋊C₄	—	2	1	no	—
216	C₂×C₁₃×C₄⋊C₄	—	2	1	no	—
217	C₂×C₁₃×C₄⋊C₄	—	2	2	no	—
218	C₂×C₁₃×C₄⋊C₄	—	2	1	no	—
219	C₂×C₁₃×C₄⋊C₄	D₄	1	1	yes	characteristic
220	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
221	C₂×C₁₃×C₂²⋊C₄	—	2	2	no	—
222	C₂×C₁₃×C₂²⋊C₄	—	2	2	no	—
223	C₂×C₁₃×C₂²⋊C₄	D₄	1	2	yes	—
224	C₂×C₄²×C₁₃	—	2	1	no	—
225	C₂×C₄²×C₁₃	—	2	1	no	—
226	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
227	C₁₃×#107	C₂³	1	2	yes	—
228	C₁₃×#106	C₂³	1	2	yes	—
229	C₁₃×C₄⋊C₈	C₂³	1	2	yes	—
230	C₁₃×C₄⋊C₈	C₂³	1	2	yes	—
231	C₁₃×#103	C₂³	1	2	yes	—
232	C₁₃×#103	C₂³	1	4	yes	—
233	C₁₃×#103	C₂³	1	2	yes	—
234	C₁₃×#103	C₂³	1	2	yes	—
235	C₁₃×#103	C₂³	1	4	yes	—
236	C₁₃×#103	C₂³	1	4	yes	—
237	C₁₃×#102	C₂³	1	2	yes	—
238	C₁₃×#102	C₂³	1	4	yes	—
239	C₁₃×C₂²⋊C₈	C₂³	1	4	yes	—
240	C₁₃×C₂²⋊C₈	C₂³	1	4	yes	—
241	C₁₃×#97	C₂³	1	2	yes	—
242	C₄×C₈×C₁₃	C₂³	1	2	yes	—
243	D₄×#137	C₁₃	1	1	yes	maximal, characteristic, direct product factor, Sylow
244	C₂⁴×C₁₃	—	2	2	no	—
245	C₂⁴×C₁₃	C₂×D₄	1	2	yes	—
246	C₁₃×#41	—	2	2	no	—
247	C₁₃×#41	—	2	4	no	—
248	C₁₃×#41	—	2	4	no	—
249	C₁₃×#41	—	2	4	no	—
250	C₁₃×#41	—	2	4	no	—
251	C₁₃×#41	—	4	8	no	—
252	C₁₃×#41	—	4	2	no	—
253	C₁₃×#41	—	4	2	no	—
254	C₁₃×#41	—	4	8	no	—
255	C₁₃×#41	C₂×D₄	1	4	yes	—
256	C₂×Q₈×C₁₃	—	2	1	no	—
257	C₂×Q₈×C₁₃	—	2	2	no	—
258	C₂×Q₈×C₁₃	—	2	4	no	—
259	C₂×Q₈×C₁₃	—	2	4	no	—
260	C₂×Q₈×C₁₃	—	2	2	no	—
261	C₂×Q₈×C₁₃	—	2	2	no	—
262	C₂×Q₈×C₁₃	—	2	8	no	—
263	C₂×Q₈×C₁₃	—	2	4	no	—
264	C₂×Q₈×C₁₃	—	2	8	no	—
265	C₂×Q₈×C₁₃	—	2	4	no	—
266	C₂×Q₈×C₁₃	—	2	4	no	—
267	C₂×Q₈×C₁₃	—	4	8	no	—
268	C₂×Q₈×C₁₃	—	4	4	no	—
269	C₂×Q₈×C₁₃	—	4	4	no	—
270	C₂×Q₈×C₁₃	—	4	2	no	—
271	C₂×Q₈×C₁₃	—	4	8	no	—
272	C₂×Q₈×C₁₃	—	4	8	no	—
273	C₂×Q₈×C₁₃	C₂×D₄	1	4	yes	complemented
274	C₂×Q₈×C₁₃	C₂⁴	1	2	yes	—
275	C₂×Q₈×C₁₃	C₂⁴	1	4	yes	—
276	C₂×Q₈×C₁₃	C₂⁴	1	2	yes	—
277	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
278	C₂×D₄×C₁₃	—	2	1	no	—
279	C₂×D₄×C₁₃	—	2	4	no	—
280	C₂×D₄×C₁₃	—	2	4	no	—
281	C₂×D₄×C₁₃	—	2	2	no	—
282	C₂×D₄×C₁₃	—	2	2	no	—
283	C₂×D₄×C₁₃	—	2	2	no	—
284	C₂×D₄×C₁₃	—	2	2	no	—
285	C₂×D₄×C₁₃	—	2	2	no	—
286	C₂×D₄×C₁₃	—	2	1	no	—
287	C₂×D₄×C₁₃	—	2	2	no	—
288	C₂×D₄×C₁₃	—	2	1	no	—
289	C₂×D₄×C₁₃	—	4	2	no	—
290	C₂×D₄×C₁₃	—	4	8	no	—
291	C₂×D₄×C₁₃	—	4	4	no	—
292	C₂×D₄×C₁₃	C₂×D₄	1	2	yes	—
293	C₂×D₄×C₁₃	C₂×D₄	1	1	yes	characteristic
294	C₂×D₄×C₁₃	C₂×D₄	1	1	yes	characteristic
295	C₂×D₄×C₁₃	C₂⁴	1	2	yes	—
296	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
297	C₂²×C₄×C₁₃	—	2	1	no	—
298	C₂²×C₄×C₁₃	—	2	1	no	—
299	C₂²×C₄×C₁₃	—	2	4	no	—
300	C₂²×C₄×C₁₃	—	2	4	no	—
301	C₂²×C₄×C₁₃	—	2	1	no	—
302	C₂²×C₄×C₁₃	—	2	2	no	—
303	C₂²×C₄×C₁₃	—	2	2	no	—
304	C₂²×C₄×C₁₃	—	2	4	no	—
305	C₂²×C₄×C₁₃	—	2	4	no	—
306	C₂²×C₄×C₁₃	—	2	1	no	—
307	C₂²×C₄×C₁₃	—	2	2	no	—
308	C₂²×C₄×C₁₃	—	2	2	no	—
309	C₂²×C₄×C₁₃	—	2	2	no	—
310	C₂²×C₄×C₁₃	—	2	1	no	—
311	C₂²×C₄×C₁₃	—	4	8	no	—
312	C₂²×C₄×C₁₃	—	4	8	no	—
313	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
314	C₂²×C₄×C₁₃	C₂×D₄	1	2	yes	—
315	C₂²×C₄×C₁₃	C₂×D₄	1	2	yes	—
316	C₂²×C₄×C₁₃	C₂×D₄	1	2	yes	—
317	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
318	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
319	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
320	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
321	C₁₃×Q₁₆	—	2	8	no	—
322	C₁₃×Q₁₆	—	2	8	no	—
323	C₁₃×Q₁₆	—	2	8	no	—
324	C₁₃×Q₁₆	—	4	4	no	—
325	C₁₃×Q₁₆	C₂×D₄	1	8	yes	complemented
326	C₁₃×SD₁₆	—	2	8	no	—
327	C₁₃×SD₁₆	—	2	8	no	—
328	C₁₃×SD₁₆	—	2	8	no	—
329	C₁₃×SD₁₆	—	4	4	no	—
330	C₁₃×SD₁₆	C₂×D₄	1	8	yes	complemented
331	C₁₃×M₁₆	—	2	4	no	—
332	C₁₃×M₁₆	—	2	2	no	—
333	C₁₃×M₁₆	—	2	8	no	—
334	C₁₃×M₁₆	C₂×D₄	1	4	yes	complemented
335	C₂×C₈×C₁₃	—	2	8	no	—
336	C₂×C₈×C₁₃	C₂⁴	1	2	yes	—
337	C₂×C₈×C₁₃	C₂⁴	1	4	yes	—
338	C₂×C₈×C₁₃	C₂⁴	1	2	yes	—
339	C₁₃×C₄⋊C₄	—	2	1	no	—
340	C₁₃×C₄⋊C₄	—	2	2	no	—
341	C₁₃×C₄⋊C₄	—	2	2	no	—
342	C₁₃×C₄⋊C₄	—	2	2	no	—
343	C₁₃×C₄⋊C₄	—	2	2	no	—
344	C₁₃×C₄⋊C₄	—	2	2	no	—
345	C₁₃×C₄⋊C₄	—	2	2	no	—
346	C₁₃×C₄⋊C₄	—	2	2	no	—
347	C₁₃×C₄⋊C₄	—	2	4	no	—
348	C₁₃×C₄⋊C₄	—	2	4	no	—
349	C₁₃×C₄⋊C₄	—	2	1	no	—
350	C₁₃×C₄⋊C₄	—	2	1	no	—
351	C₁₃×C₄⋊C₄	—	2	1	no	—
352	C₁₃×C₄⋊C₄	—	2	1	no	—
353	C₁₃×C₄⋊C₄	—	2	2	no	—
354	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
355	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
356	C₁₃×C₄⋊C₄	C₂×D₄	1	2	yes	—
357	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
358	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
359	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
360	C₁₃×C₂²⋊C₄	—	2	2	no	—
361	C₁₃×C₂²⋊C₄	—	2	4	no	—
362	C₁₃×C₂²⋊C₄	—	2	4	no	—
363	C₁₃×C₂²⋊C₄	—	2	1	no	—
364	C₁₃×C₂²⋊C₄	—	2	2	no	—
365	C₁₃×C₂²⋊C₄	—	2	2	no	—
366	C₁₃×C₂²⋊C₄	—	2	2	no	—
367	C₁₃×C₂²⋊C₄	—	2	1	no	—
368	C₁₃×C₂²⋊C₄	—	2	1	no	—
369	C₁₃×C₂²⋊C₄	—	2	2	no	—
370	C₁₃×C₂²⋊C₄	—	2	2	no	—
371	C₁₃×C₂²⋊C₄	C₂×D₄	1	2	yes	—
372	C₁₃×C₂²⋊C₄	C₂×D₄	1	2	yes	—
373	C₁₃×C₂²⋊C₄	C₂×D₄	1	2	yes	—
374	C₁₃×C₂²⋊C₄	C₂×D₄	1	2	yes	—
375	C₄²×C₁₃	—	2	1	no	—
376	C₄²×C₁₃	—	2	1	no	—
377	C₄²×C₁₃	—	2	1	no	—
378	C₄²×C₁₃	—	2	2	no	—
379	C₄²×C₁₃	—	2	2	no	—
380	C₄²×C₁₃	C₂×D₄	1	1	yes	characteristic
381	C₄²×C₁₃	C₂×D₄	1	1	yes	characteristic
382	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
383	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
384	C₂²×#137	C₂×C₁₃	1	2	yes	complemented
385	D₄×#41	C₂×C₁₃	1	1	yes	characteristic
386	C₂×D₄×Q₈	C₂×C₁₃	1	1	yes	characteristic, complemented
387	D₄×Q₁₆	C₂×C₁₃	1	2	yes	complemented
388	D₄×SD₁₆	C₂×C₁₃	1	2	yes	complemented
389	#3278	C₂×C₁₃	1	2	yes	complemented
390	#3276	C₂×C₁₃	1	2	yes	complemented
391	#3270	C₂×C₁₃	1	4	yes	complemented
392	#3266	C₂×C₁₃	1	4	yes	complemented
393	#3152	C₂×C₁₃	1	1	yes	characteristic, complemented
394	#3056	C₂×C₁₃	1	2	yes	complemented
395	#3039	C₂×C₁₃	1	1	yes	characteristic, complemented
396	#3037	C₂×C₁₃	1	1	yes	characteristic, complemented
397	#3007	C₂×C₁₃	1	2	yes	complemented
398	#3004	C₂×C₁₃	1	2	yes	complemented
399	C₄×#137	C₂×C₁₃	1	1	yes	characteristic, complemented
400	D₄×M₁₆	C₂×C₁₃	1	1	yes	characteristic, complemented
401	C₂³×C₁₃	—	2	4	no	—
402	C₂³×C₁₃	—	2	4	no	—
403	C₂³×C₁₃	—	2	1	no	—
404	C₂³×C₁₃	—	2	2	no	—
405	C₂³×C₁₃	—	4	2	no	—
406	C₂³×C₁₃	—	4	4	no	—
407	C₂³×C₁₃	—	4	4	no	—
408	C₂³×C₁₃	—	8	2	no	—
409	C₂³×C₁₃	C₂²×D₄	1	2	yes	—
410	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
411	C₂³×C₁₃	C₂²×D₄	1	2	yes	—
412	Q₈×C₁₃	—	2	4	no	—
413	Q₈×C₁₃	—	2	2	no	—
414	Q₈×C₁₃	—	2	1	no	—
415	Q₈×C₁₃	—	2	4	no	—
416	Q₈×C₁₃	—	2	2	no	—
417	Q₈×C₁₃	—	2	4	no	—
418	Q₈×C₁₃	—	2	2	no	—
419	Q₈×C₁₃	—	4	8	no	—
420	Q₈×C₁₃	—	4	8	no	—
421	Q₈×C₁₃	—	4	4	no	—
422	Q₈×C₁₃	—	4	4	no	—
423	Q₈×C₁₃	C₂²×D₄	1	4	yes	—
424	Q₈×C₁₃	C₂²×D₄	1	2	yes	—
425	D₄×C₁₃	—	2	4	no	—
426	D₄×C₁₃	—	2	4	no	—
427	D₄×C₁₃	—	2	2	no	—
428	D₄×C₁₃	—	2	2	no	—
429	D₄×C₁₃	—	2	1	no	—
430	D₄×C₁₃	—	2	2	no	—
431	D₄×C₁₃	—	4	4	no	—
432	D₄×C₁₃	—	4	4	no	—
433	D₄×C₁₃	—	4	4	no	—
434	D₄×C₁₃	—	4	4	no	—
435	D₄×C₁₃	—	4	4	no	—
436	D₄×C₁₃	—	4	2	no	—
437	D₄×C₁₃	—	8	1	no	—
438	D₄×C₁₃	—	8	2	no	—
439	D₄×C₁₃	#137	1	4	yes	direct product factor
440	D₄×C₁₃	C₂²×D₄	1	2	yes	—
441	C₂×C₄×C₁₃	—	2	4	no	—
442	C₂×C₄×C₁₃	—	2	4	no	—
443	C₂×C₄×C₁₃	—	2	1	no	—
444	C₂×C₄×C₁₃	—	2	2	no	—
445	C₂×C₄×C₁₃	—	2	4	no	—
446	C₂×C₄×C₁₃	—	2	4	no	—
447	C₂×C₄×C₁₃	—	2	4	no	—
448	C₂×C₄×C₁₃	—	2	2	no	—
449	C₂×C₄×C₁₃	—	2	2	no	—
450	C₂×C₄×C₁₃	—	2	2	no	—
451	C₂×C₄×C₁₃	—	2	2	no	—
452	C₂×C₄×C₁₃	—	2	2	no	—
453	C₂×C₄×C₁₃	—	2	1	no	—
454	C₂×C₄×C₁₃	—	2	1	no	—
455	C₂×C₄×C₁₃	—	2	2	no	—
456	C₂×C₄×C₁₃	—	2	2	no	—
457	C₂×C₄×C₁₃	—	2	4	no	—
458	C₂×C₄×C₁₃	—	4	1	no	—
459	C₂×C₄×C₁₃	—	4	4	no	—
460	C₂×C₄×C₁₃	—	4	4	no	—
461	C₂×C₄×C₁₃	—	4	8	no	—
462	C₂×C₄×C₁₃	—	4	8	no	—
463	C₂×C₄×C₁₃	—	4	4	no	—
464	C₂×C₄×C₁₃	—	4	2	no	—
465	C₂×C₄×C₁₃	—	4	4	no	—
466	C₂×C₄×C₁₃	—	4	4	no	—
467	C₂×C₄×C₁₃	—	4	2	no	—
468	C₂×C₄×C₁₃	—	8	1	no	—
469	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
470	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
471	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
472	C₂×C₄×C₁₃	C₂²×D₄	1	2	yes	—
473	C₂×C₄×C₁₃	C₂²×D₄	1	2	yes	—
474	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
475	C₂×C₄×C₁₃	C₂²×D₄	1	2	yes	—
476	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
477	C₂×C₄×C₁₃	H(5,𝔽₂)	1	2	yes	—
478	C₂×C₄×C₁₃	C₂⁵	1	1	yes	characteristic
479	C₈×C₁₃	—	2	4	no	—
480	C₈×C₁₃	—	2	2	no	—
481	C₈×C₁₃	C₂²×D₄	1	4	yes	—
482	C₂²×#41	C₂²×C₁₃	1	2	yes	—
483	C₂³×Q₈	C₂²×C₁₃	1	2	yes	complemented
484	C₂×#137	—	2	16	no	—
485	C₂×#137	C₂²×C₁₃	1	2	yes	—
486	C₂×#137	C₂²×C₁₃	1	1	yes	characteristic
487	C₂×#137	C₂²×C₁₃	1	2	yes	complemented
488	C₂×#137	C₂²×C₁₃	1	2	yes	complemented
489	C₂×#137	C₂²×C₁₃	1	4	yes	complemented
490	C₂×#137	C₂²×C₁₃	1	4	yes	complemented
491	C₂×#137	C₂²×C₁₃	1	2	yes	complemented
492	C₂²×Q₁₆	C₂²×C₁₃	1	4	yes	complemented
493	C₂²×SD₁₆	C₂²×C₁₃	1	4	yes	complemented
494	C₂²×M₁₆	C₂²×C₁₃	1	2	yes	complemented
495	#550	C₂²×C₁₃	1	1	yes	characteristic
496	D₄×Q₈	—	2	1	no	—
497	D₄×Q₈	—	2	2	no	—
498	D₄×Q₈	—	2	1	no	—
499	D₄×Q₈	C₂²×C₁₃	1	2	yes	—
500	D₄×Q₈	C₂²×C₁₃	1	1	yes	characteristic
501	D₄×Q₈	C₂²×C₁₃	1	4	yes	complemented
502	D₄×Q₈	C₂²×C₁₃	1	2	yes	complemented
503	#548	C₂²×C₁₃	1	2	yes	—
504	#547	—	2	1	no	—
505	#547	C₂²×C₁₃	1	1	yes	characteristic
506	#546	—	2	2	no	—
507	#546	C₂²×C₁₃	1	2	yes	—
508	D₄²	—	2	1	no	—
509	D₄²	C₂²×C₁₃	1	1	yes	characteristic
510	#532	—	2	1	no	—
511	#532	C₂²×C₁₃	1	1	yes	characteristic
512	C₂×C₄⋊Q₈	—	2	1	no	—
513	C₂×C₄⋊Q₈	C₂²×C₁₃	1	1	yes	characteristic, complemented
514	#525	—	2	2	no	—
515	#525	C₂²×C₁₃	1	2	yes	—
516	C₂×C₂²⋊Q₈	—	2	2	no	—
517	C₂×C₂²⋊Q₈	C₂²×C₁₃	1	2	yes	complemented
518	C₄×#41	C₂²×C₁₃	1	1	yes	characteristic
519	C₂×C₄×Q₈	C₂²×C₁₃	1	1	yes	characteristic, complemented
520	C₂×C₄×D₄	—	2	1	no	—
521	C₂×C₄×D₄	—	2	1	no	—
522	C₂×C₄×D₄	C₂²×C₁₃	1	1	yes	characteristic
523	#497	C₂²×C₁₃	1	4	yes	complemented
524	#494	C₂²×C₁₃	1	2	yes	complemented
525	#492	C₂²×C₁₃	1	2	yes	complemented
526	#470	C₂²×C₁₃	1	4	yes	complemented
527	#468	C₂²×C₁₃	1	4	yes	complemented
528	#467	C₂²×C₁₃	1	4	yes	complemented
529	#465	C₂²×C₁₃	1	4	yes	complemented
530	#464	C₂²×C₁₃	1	4	yes	complemented
531	#462	C₂²×C₁₃	1	2	yes	complemented
532	#462	C₂²×C₁₃	1	2	yes	complemented
533	#462	C₂²×C₁₃	1	2	yes	complemented
534	#461	C₂²×C₁₃	1	2	yes	complemented
535	#461	C₂²×C₁₃	1	2	yes	complemented
536	#460	C₂²×C₁₃	1	2	yes	complemented
537	#452	C₂²×C₁₃	1	4	yes	complemented
538	#452	C₂²×C₁₃	1	4	yes	complemented
539	#451	C₂²×C₁₃	1	4	yes	complemented
540	#451	C₂²×C₁₃	1	4	yes	complemented
541	#451	C₂²×C₁₃	1	4	yes	complemented
542	#450	C₂²×C₁₃	1	4	yes	complemented
543	#448	C₂²×C₁₃	1	4	yes	complemented
544	#448	C₂²×C₁₃	1	4	yes	complemented
545	#441	C₂²×C₁₃	1	2	yes	complemented
546	#440	C₂²×C₁₃	1	2	yes	complemented
547	C₄×Q₁₆	C₂²×C₁₃	1	2	yes	complemented
548	C₄×SD₁₆	C₂²×C₁₃	1	2	yes	complemented
549	#436	C₂²×C₁₃	1	2	yes	complemented
550	#435	C₂²×C₁₃	1	4	yes	complemented
551	C₈×D₄	C₂²×C₁₃	1	2	yes	—
552	#428	C₂²×C₁₃	1	1	yes	characteristic, complemented
553	#423	C₂²×C₁₃	1	1	yes	characteristic, complemented
554	#419	C₂²×C₁₃	1	1	yes	characteristic, complemented
555	#419	C₂²×C₁₃	1	2	yes	complemented
556	#417	C₂²×C₁₃	1	1	yes	characteristic
557	#417	C₂²×C₁₃	1	2	yes	complemented
558	#407	C₂²×C₁₃	1	2	yes	complemented
559	C₄×M₁₆	C₂²×C₁₃	1	1	yes	characteristic, complemented
560	C₂²×C₁₃	—	2	1	no	—
561	C₂²×C₁₃	—	2	2	no	—
562	C₂²×C₁₃	—	2	2	no	—
563	C₂²×C₁₃	—	2	1	no	—
564	C₂²×C₁₃	—	2	2	no	—
565	C₂²×C₁₃	—	2	2	no	—
566	C₂²×C₁₃	—	2	2	no	—
567	C₂²×C₁₃	—	2	2	no	—
568	C₂²×C₁₃	—	4	8	no	—
569	C₂²×C₁₃	—	4	1	no	—
570	C₂²×C₁₃	—	4	1	no	—
571	C₂²×C₁₃	—	4	2	no	—
572	C₂²×C₁₃	—	4	2	no	—
573	C₂²×C₁₃	—	4	2	no	—
574	C₂²×C₁₃	—	8	8	no	—
575	C₂²×C₁₃	D₄²	1	2	yes	—
576	C₂²×C₁₃	C₂×#137	1	4	yes	complemented
577	C₂²×C₁₃	C₂³×D₄	1	1	yes	characteristic
578	C₄×C₁₃	—	2	1	no	—
579	C₄×C₁₃	—	2	1	no	—
580	C₄×C₁₃	—	2	2	no	—
581	C₄×C₁₃	—	2	2	no	—
582	C₄×C₁₃	—	2	2	no	—
583	C₄×C₁₃	—	2	4	no	—
584	C₄×C₁₃	—	2	1	no	—
585	C₄×C₁₃	—	4	2	no	—
586	C₄×C₁₃	—	4	1	no	—
587	C₄×C₁₃	—	4	2	no	—
588	C₄×C₁₃	—	4	4	no	—
589	C₄×C₁₃	—	4	1	no	—
590	C₄×C₁₃	D₄²	1	2	yes	—
591	C₄×C₁₃	C₂×#137	1	2	yes	complemented
592	C₄×C₁₃	C₂³×D₄	1	1	yes	characteristic
593	C₄×C₁₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
594	C₂×#41	—	2	2	no	—
595	C₂×#41	—	2	2	no	—
596	C₂×#41	—	2	8	no	—
597	C₂×#41	—	4	4	no	—
598	C₂×#41	C₂³×C₁₃	1	2	yes	—
599	C₂×#41	C₂³×C₁₃	1	2	yes	—
600	C₂×#41	C₂³×C₁₃	1	2	yes	—
601	C₂×#41	C₂³×C₁₃	1	1	yes	characteristic
602	C₂²×Q₈	—	2	2	no	—
603	C₂²×Q₈	—	2	2	no	—
604	C₂²×Q₈	—	2	2	no	—
605	C₂²×Q₈	—	2	8	no	—
606	C₂²×Q₈	—	4	4	no	—
607	C₂²×Q₈	C₂³×C₁₃	1	2	yes	—
608	C₂²×Q₈	C₂³×C₁₃	1	2	yes	—
609	C₂²×Q₈	C₂³×C₁₃	1	4	yes	—
610	C₂²×Q₈	C₂³×C₁₃	1	4	yes	—
611	C₂²×Q₈	C₂³×C₁₃	1	1	yes	characteristic
612	C₂²×D₄	—	2	2	no	—
613	C₂²×D₄	—	2	1	no	—
614	C₂²×D₄	D₄×C₁₃	1	1	yes	characteristic
615	C₂²×D₄	C₂³×C₁₃	1	2	yes	—
616	C₂³×C₄	—	2	2	no	—
617	C₂³×C₄	—	2	2	no	—
618	C₂³×C₄	C₂³×C₁₃	1	2	yes	—
619	#137	—	2	8	no	—
620	#137	—	2	8	no	—
621	#137	—	2	16	no	—
622	#137	—	2	16	no	—
623	#137	—	2	8	no	—
624	#137	—	4	4	no	—
625	#137	D₄×C₁₃	1	8	yes	direct product factor
626	C₂×Q₁₆	—	2	16	no	—
627	C₂×Q₁₆	C₂³×C₁₃	1	4	yes	—
628	C₂×Q₁₆	C₂³×C₁₃	1	4	yes	—
629	C₂×Q₁₆	C₂³×C₁₃	1	4	yes	—
630	C₂×Q₁₆	C₂³×C₁₃	1	4	yes	—
631	C₂×Q₁₆	C₂³×C₁₃	1	2	yes	—
632	C₂×SD₁₆	—	2	16	no	—
633	C₂×SD₁₆	C₂³×C₁₃	1	4	yes	—
634	C₂×SD₁₆	C₂³×C₁₃	1	4	yes	—
635	C₂×SD₁₆	C₂³×C₁₃	1	4	yes	—
636	C₂×SD₁₆	C₂³×C₁₃	1	4	yes	—
637	C₂×SD₁₆	C₂³×C₁₃	1	2	yes	—
638	C₂×M₁₆	—	2	8	no	—
639	C₂×M₁₆	C₂³×C₁₃	1	2	yes	—
640	C₂×M₁₆	C₂³×C₁₃	1	4	yes	—
641	C₂×M₁₆	C₂³×C₁₃	1	1	yes	characteristic
642	C₂×M₁₆	C₂³×C₁₃	1	1	yes	characteristic
643	C₂²×C₈	C₂³×C₁₃	1	4	yes	—
644	C₄⋊Q₈	—	2	2	no	—
645	C₄⋊Q₈	—	2	2	no	—
646	C₄⋊Q₈	—	2	4	no	—
647	C₄⋊Q₈	—	2	1	no	—
648	C₄⋊Q₈	—	2	1	no	—
649	C₄⋊Q₈	—	2	1	no	—
650	C₄⋊Q₈	C₂³×C₁₃	1	2	yes	—
651	C₄⋊Q₈	C₂³×C₁₃	1	2	yes	—
652	C₄⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
653	#127	—	2	1	no	—
654	#127	C₂³×C₁₃	1	1	yes	characteristic
655	#124	—	2	2	no	—
656	#124	C₂³×C₁₃	1	2	yes	—
657	#123	—	2	2	no	—
658	#123	—	2	2	no	—
659	#123	—	2	2	no	—
660	C₂²⋊Q₈	—	2	2	no	—
661	C₂²⋊Q₈	—	2	2	no	—
662	C₂²⋊Q₈	—	2	2	no	—
663	C₂²⋊Q₈	—	2	4	no	—
664	C₂²⋊Q₈	—	2	4	no	—
665	C₂²⋊Q₈	—	2	4	no	—
666	C₂²⋊Q₈	—	2	4	no	—
667	C₂²⋊Q₈	—	2	2	no	—
668	C₂²⋊Q₈	C₂³×C₁₃	1	4	yes	—
669	C₂²⋊Q₈	C₂³×C₁₃	1	4	yes	—
670	C₂²⋊Q₈	C₂³×C₁₃	1	2	yes	—
671	C₂²⋊Q₈	C₂³×C₁₃	1	2	yes	—
672	#121	—	2	2	no	—
673	#121	—	2	1	no	—
674	#121	—	2	1	no	—
675	#121	—	2	1	no	—
676	#121	—	2	1	no	—
677	#121	—	2	2	no	—
678	#121	—	2	2	no	—
679	#121	C₂³×C₁₃	1	2	yes	—
680	#121	C₂³×C₁₃	1	2	yes	—
681	#120	—	2	2	no	—
682	#120	—	2	2	no	—
683	#120	—	2	2	no	—
684	C₄×Q₈	—	2	1	no	—
685	C₄×Q₈	—	2	1	no	—
686	C₄×Q₈	C₂³×C₁₃	1	2	yes	—
687	C₄×Q₈	C₂³×C₁₃	1	2	yes	—
688	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
689	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
690	C₄×D₄	—	2	1	no	—
691	C₄×D₄	—	2	2	no	—
692	C₄×D₄	—	2	4	no	—
693	C₄×D₄	—	2	2	no	—
694	C₄×D₄	—	2	2	no	—
695	C₄×D₄	—	2	1	no	—
696	C₄×D₄	—	2	1	no	—
697	C₄×D₄	—	2	2	no	—
698	C₄×D₄	—	2	1	no	—
699	C₄×D₄	—	2	2	no	—
700	C₄×D₄	—	2	1	no	—
701	C₄×D₄	—	2	1	no	—
702	C₄×D₄	D₄×C₁₃	1	1	yes	characteristic
703	C₄×D₄	D₄×C₁₃	1	2	yes	—
704	C₄×D₄	D₄×C₁₃	1	1	yes	characteristic
705	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
706	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
707	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
708	C₄×D₄	C₂³×C₁₃	1	2	yes	—
709	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
710	#117	—	2	1	no	—
711	#117	C₂³×C₁₃	1	1	yes	characteristic
712	C₂×C₄⋊C₄	—	2	1	no	—
713	C₂×C₄⋊C₄	—	2	1	no	—
714	C₂×C₄⋊C₄	—	2	1	no	—
715	C₂×C₄⋊C₄	—	2	2	no	—
716	C₂×C₄⋊C₄	—	2	1	no	—
717	C₂×C₄⋊C₄	D₄×C₁₃	1	1	yes	characteristic
718	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
719	C₂×C₂²⋊C₄	—	2	2	no	—
720	C₂×C₂²⋊C₄	—	2	2	no	—
721	C₂×C₂²⋊C₄	D₄×C₁₃	1	2	yes	—
722	C₂×C₄²	—	2	1	no	—
723	C₂×C₄²	—	2	1	no	—
724	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
725	#107	C₂³×C₁₃	1	2	yes	—
726	#106	C₂³×C₁₃	1	2	yes	—
727	C₄⋊C₈	C₂³×C₁₃	1	2	yes	—
728	C₄⋊C₈	C₂³×C₁₃	1	2	yes	—
729	#103	C₂³×C₁₃	1	2	yes	—
730	#103	C₂³×C₁₃	1	4	yes	—
731	#103	C₂³×C₁₃	1	2	yes	—
732	#103	C₂³×C₁₃	1	2	yes	—
733	#103	C₂³×C₁₃	1	4	yes	—
734	#103	C₂³×C₁₃	1	4	yes	—
735	#102	C₂³×C₁₃	1	2	yes	—
736	#102	C₂³×C₁₃	1	4	yes	—
737	C₂²⋊C₈	C₂³×C₁₃	1	4	yes	—
738	C₂²⋊C₈	C₂³×C₁₃	1	4	yes	—
739	#97	C₂³×C₁₃	1	2	yes	—
740	C₄×C₈	C₂³×C₁₃	1	2	yes	—
741	C₂×C₁₃	—	2	2	no	—
742	C₂×C₁₃	—	2	4	no	—
743	C₂×C₁₃	—	4	2	no	—
744	C₂×C₁₃	—	4	2	no	—
745	C₂×C₁₃	—	8	2	no	—
746	C₂×C₁₃	C₂×D₄²	1	1	yes	characteristic
747	C₂×C₁₃	C₂²×#137	1	1	yes	characteristic
748	C₂×C₁₃	#3586	1	1	yes	characteristic
749	C₂⁴	—	2	2	no	—
750	C₂⁴	C₂×D₄×C₁₃	1	2	yes	—
751	#41	—	2	2	no	—
752	#41	—	2	4	no	—
753	#41	—	2	4	no	—
754	#41	—	2	4	no	—
755	#41	—	2	4	no	—
756	#41	—	4	8	no	—
757	#41	—	4	2	no	—
758	#41	—	4	2	no	—
759	#41	—	4	8	no	—
760	#41	C₂×D₄×C₁₃	1	4	yes	—
761	C₂×Q₈	—	2	1	no	—
762	C₂×Q₈	—	2	2	no	—
763	C₂×Q₈	—	2	4	no	—
764	C₂×Q₈	—	2	4	no	—
765	C₂×Q₈	—	2	2	no	—
766	C₂×Q₈	—	2	2	no	—
767	C₂×Q₈	—	2	8	no	—
768	C₂×Q₈	—	2	4	no	—
769	C₂×Q₈	—	2	8	no	—
770	C₂×Q₈	—	2	4	no	—
771	C₂×Q₈	—	2	4	no	—
772	C₂×Q₈	—	4	8	no	—
773	C₂×Q₈	—	4	4	no	—
774	C₂×Q₈	—	4	4	no	—
775	C₂×Q₈	—	4	2	no	—
776	C₂×Q₈	—	4	8	no	—
777	C₂×Q₈	—	4	8	no	—
778	C₂×Q₈	C₂×D₄×C₁₃	1	4	yes	complemented
779	C₂×Q₈	C₂⁴×C₁₃	1	2	yes	—
780	C₂×Q₈	C₂⁴×C₁₃	1	4	yes	—
781	C₂×Q₈	C₂⁴×C₁₃	1	2	yes	—
782	C₂×Q₈	C₂⁴×C₁₃	1	1	yes	characteristic
783	C₂×D₄	—	2	1	no	—
784	C₂×D₄	—	2	4	no	—
785	C₂×D₄	—	2	4	no	—
786	C₂×D₄	—	2	2	no	—
787	C₂×D₄	—	2	2	no	—
788	C₂×D₄	—	2	2	no	—
789	C₂×D₄	—	2	2	no	—
790	C₂×D₄	—	2	2	no	—
791	C₂×D₄	—	2	1	no	—
792	C₂×D₄	—	2	2	no	—
793	C₂×D₄	—	2	1	no	—
794	C₂×D₄	—	4	2	no	—
795	C₂×D₄	—	4	8	no	—
796	C₂×D₄	—	4	4	no	—
797	C₂×D₄	C₂×D₄×C₁₃	1	2	yes	—
798	C₂×D₄	C₂×D₄×C₁₃	1	1	yes	characteristic
799	C₂×D₄	C₂×D₄×C₁₃	1	1	yes	characteristic
800	C₂×D₄	C₂⁴×C₁₃	1	2	yes	—
801	C₂×D₄	C₂⁴×C₁₃	1	1	yes	characteristic
802	C₂²×C₄	—	2	1	no	—
803	C₂²×C₄	—	2	1	no	—
804	C₂²×C₄	—	2	4	no	—
805	C₂²×C₄	—	2	4	no	—
806	C₂²×C₄	—	2	1	no	—
807	C₂²×C₄	—	2	2	no	—
808	C₂²×C₄	—	2	2	no	—
809	C₂²×C₄	—	2	4	no	—
810	C₂²×C₄	—	2	4	no	—
811	C₂²×C₄	—	2	1	no	—
812	C₂²×C₄	—	2	2	no	—
813	C₂²×C₄	—	2	2	no	—
814	C₂²×C₄	—	2	2	no	—
815	C₂²×C₄	—	2	1	no	—
816	C₂²×C₄	—	4	8	no	—
817	C₂²×C₄	—	4	8	no	—
818	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
819	C₂²×C₄	C₂×D₄×C₁₃	1	2	yes	—
820	C₂²×C₄	C₂×D₄×C₁₃	1	2	yes	—
821	C₂²×C₄	C₂×D₄×C₁₃	1	2	yes	—
822	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
823	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
824	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
825	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
826	Q₁₆	—	2	8	no	—
827	Q₁₆	—	2	8	no	—
828	Q₁₆	—	2	8	no	—
829	Q₁₆	—	4	4	no	—
830	Q₁₆	C₂×D₄×C₁₃	1	8	yes	complemented
831	SD₁₆	—	2	8	no	—
832	SD₁₆	—	2	8	no	—
833	SD₁₆	—	2	8	no	—
834	SD₁₆	—	4	4	no	—
835	SD₁₆	C₂×D₄×C₁₃	1	8	yes	complemented
836	M₁₆	—	2	4	no	—
837	M₁₆	—	2	2	no	—
838	M₁₆	—	2	8	no	—
839	M₁₆	C₂×D₄×C₁₃	1	4	yes	complemented
840	C₂×C₈	—	2	8	no	—
841	C₂×C₈	C₂⁴×C₁₃	1	2	yes	—
842	C₂×C₈	C₂⁴×C₁₃	1	4	yes	—
843	C₂×C₈	C₂⁴×C₁₃	1	2	yes	—
844	C₄⋊C₄	—	2	1	no	—
845	C₄⋊C₄	—	2	2	no	—
846	C₄⋊C₄	—	2	2	no	—
847	C₄⋊C₄	—	2	2	no	—
848	C₄⋊C₄	—	2	2	no	—
849	C₄⋊C₄	—	2	2	no	—
850	C₄⋊C₄	—	2	2	no	—
851	C₄⋊C₄	—	2	2	no	—
852	C₄⋊C₄	—	2	4	no	—
853	C₄⋊C₄	—	2	4	no	—
854	C₄⋊C₄	—	2	1	no	—
855	C₄⋊C₄	—	2	1	no	—
856	C₄⋊C₄	—	2	1	no	—
857	C₄⋊C₄	—	2	1	no	—
858	C₄⋊C₄	—	2	2	no	—
859	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
860	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
861	C₄⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
862	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
863	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
864	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
865	C₂²⋊C₄	—	2	2	no	—
866	C₂²⋊C₄	—	2	4	no	—
867	C₂²⋊C₄	—	2	4	no	—
868	C₂²⋊C₄	—	2	1	no	—
869	C₂²⋊C₄	—	2	2	no	—
870	C₂²⋊C₄	—	2	2	no	—
871	C₂²⋊C₄	—	2	2	no	—
872	C₂²⋊C₄	—	2	1	no	—
873	C₂²⋊C₄	—	2	1	no	—
874	C₂²⋊C₄	—	2	2	no	—
875	C₂²⋊C₄	—	2	2	no	—
876	C₂²⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
877	C₂²⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
878	C₂²⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
879	C₂²⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
880	C₄²	—	2	1	no	—
881	C₄²	—	2	1	no	—
882	C₄²	—	2	1	no	—
883	C₄²	—	2	2	no	—
884	C₄²	—	2	2	no	—
885	C₄²	C₂×D₄×C₁₃	1	1	yes	characteristic
886	C₄²	C₂×D₄×C₁₃	1	1	yes	characteristic
887	C₄²	C₂⁴×C₁₃	1	1	yes	characteristic
888	C₄²	C₂⁴×C₁₃	1	1	yes	characteristic
889	C₁₃	D₄×#137	1	1	yes	characteristic, direct product factor, Sylow
890	C₂³	—	2	4	no	—
891	C₂³	—	2	4	no	—
892	C₂³	—	2	1	no	—
893	C₂³	—	2	2	no	—
894	C₂³	—	4	2	no	—
895	C₂³	—	4	4	no	—
896	C₂³	—	4	4	no	—
897	C₂³	—	8	2	no	—
898	C₂³	C₂²×D₄×C₁₃	1	2	yes	—
899	C₂³	C₂²×D₄×C₁₃	1	1	yes	characteristic
900	C₂³	C₂²×D₄×C₁₃	1	2	yes	—
901	Q₈	—	2	4	no	—
902	Q₈	—	2	2	no	—
903	Q₈	—	2	1	no	—
904	Q₈	—	2	4	no	—
905	Q₈	—	2	2	no	—
906	Q₈	—	2	4	no	—
907	Q₈	—	2	2	no	—
908	Q₈	—	4	8	no	—
909	Q₈	—	4	8	no	—
910	Q₈	—	4	4	no	—
911	Q₈	—	4	4	no	—
912	Q₈	C₂²×D₄×C₁₃	1	4	yes	—
913	Q₈	C₂²×D₄×C₁₃	1	2	yes	—
914	D₄	—	2	4	no	—
915	D₄	—	2	4	no	—
916	D₄	—	2	2	no	—
917	D₄	—	2	2	no	—
918	D₄	—	2	1	no	—
919	D₄	—	2	2	no	—
920	D₄	—	4	4	no	—
921	D₄	—	4	4	no	—
922	D₄	—	4	4	no	—
923	D₄	—	4	4	no	—
924	D₄	—	4	4	no	—
925	D₄	—	4	2	no	—
926	D₄	—	8	1	no	—
927	D₄	—	8	2	no	—
928	D₄	C₁₃×#137	1	4	yes	direct product factor
929	D₄	C₂²×D₄×C₁₃	1	2	yes	—
930	C₂×C₄	—	2	4	no	—
931	C₂×C₄	—	2	4	no	—
932	C₂×C₄	—	2	1	no	—
933	C₂×C₄	—	2	2	no	—
934	C₂×C₄	—	2	4	no	—
935	C₂×C₄	—	2	4	no	—
936	C₂×C₄	—	2	4	no	—
937	C₂×C₄	—	2	2	no	—
938	C₂×C₄	—	2	2	no	—
939	C₂×C₄	—	2	2	no	—
940	C₂×C₄	—	2	2	no	—
941	C₂×C₄	—	2	2	no	—
942	C₂×C₄	—	2	1	no	—
943	C₂×C₄	—	2	1	no	—
944	C₂×C₄	—	2	2	no	—
945	C₂×C₄	—	2	2	no	—
946	C₂×C₄	—	2	4	no	—
947	C₂×C₄	—	4	1	no	—
948	C₂×C₄	—	4	4	no	—
949	C₂×C₄	—	4	4	no	—
950	C₂×C₄	—	4	8	no	—
951	C₂×C₄	—	4	8	no	—
952	C₂×C₄	—	4	4	no	—
953	C₂×C₄	—	4	2	no	—
954	C₂×C₄	—	4	4	no	—
955	C₂×C₄	—	4	4	no	—
956	C₂×C₄	—	4	2	no	—
957	C₂×C₄	—	8	1	no	—
958	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
959	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
960	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
961	C₂×C₄	C₂²×D₄×C₁₃	1	2	yes	—
962	C₂×C₄	C₂²×D₄×C₁₃	1	2	yes	—
963	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
964	C₂×C₄	C₂²×D₄×C₁₃	1	2	yes	—
965	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
966	C₂×C₄	C₁₃×H(5,𝔽₂)	1	2	yes	—
967	C₂×C₄	C₂⁵×C₁₃	1	1	yes	characteristic
968	C₈	—	2	4	no	—
969	C₈	—	2	2	no	—
970	C₈	C₂²×D₄×C₁₃	1	4	yes	—
971	C₂²	—	2	1	no	—
972	C₂²	—	2	1	no	—
973	C₂²	—	2	2	no	—
974	C₂²	—	2	2	no	—
975	C₂²	—	2	2	no	—
976	C₂²	—	2	2	no	—
977	C₂²	—	2	2	no	—
978	C₂²	—	2	2	no	—
979	C₂²	—	4	8	no	—
980	C₂²	—	4	1	no	—
981	C₂²	—	4	1	no	—
982	C₂²	—	4	2	no	—
983	C₂²	—	4	2	no	—
984	C₂²	—	4	2	no	—
985	C₂²	—	8	8	no	—
986	C₂²	D₄²×C₁₃	1	2	yes	—
987	C₂²	C₂×C₁₃×#137	1	4	yes	complemented
988	C₂²	C₂³×D₄×C₁₃	1	1	yes	characteristic
989	C₄	—	2	1	no	—
990	C₄	—	2	1	no	—
991	C₄	—	2	1	no	—
992	C₄	—	2	2	no	—
993	C₄	—	2	2	no	—
994	C₄	—	2	2	no	—
995	C₄	—	2	4	no	—
996	C₄	—	4	1	no	—
997	C₄	—	4	2	no	—
998	C₄	—	4	1	no	—
999	C₄	—	4	2	no	—
1000	C₄	—	4	4	no	—
1001	C₄	D₄²×C₁₃	1	2	yes	—
1002	C₄	C₂×C₁₃×#137	1	2	yes	complemented
1003	C₄	C₂³×D₄×C₁₃	1	1	yes	characteristic
1004	C₄	C₂×C₁₃×H(5,𝔽₂)	1	1	yes	characteristic
1005	C₂	—	2	2	no	—
1006	C₂	—	2	4	no	—
1007	C₂	—	4	2	no	—
1008	C₂	—	4	2	no	—
1009	C₂	—	8	2	no	—
1010	C₂	C₂×D₄²×C₁₃	1	1	yes	characteristic
1011	C₂	C₂²×C₁₃×#137	1	1	yes	characteristic
1012	C₂	C₁₃×#3586	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂²×C₁₃	C₂³×D₄
commutator, Frattini, cosocle	C₂×C₄	C₂⁵×C₁₃
prime radical	D₄×C₁₃×#41	C₂
LCS	G ▷ C₂×C₄ ▷ C₂ ▷ C₁
UCS	C₁ ◁ C₂²×C₁₃ ◁ C₂×C₄×D₄×C₁₃ ◁ G

Complements

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

N	H ≅ G/N	type
1. C₂²×C₁₃×#137	C₂	semidirect
3. C₂×D₄×Q₈×C₁₃	C₂	semidirect
4. D₄×C₁₃×Q₁₆	C₂	semidirect
5. D₄×C₁₃×SD₁₆	C₂	semidirect
6. C₁₃×#3278	C₂	semidirect
7. C₁₃×#3276	C₂	semidirect
8. C₁₃×#3270	C₂	semidirect
9. C₁₃×#3266	C₂	semidirect
10. C₁₃×#3152	C₂	semidirect
11. C₁₃×#3056	C₂	semidirect
12. C₁₃×#3039	C₂	semidirect
13. C₁₃×#3037	C₂	semidirect
14. C₁₃×#3007	C₂	semidirect
15. C₁₃×#3004	C₂	semidirect
16. C₄×C₁₃×#137	C₂	semidirect
17. D₄×C₁₃×M₁₆	C₂	semidirect
19. C₂³×Q₈×C₁₃	C₂²	semidirect
23. C₂×C₁₃×#137	C₂²	semidirect
24. C₂×C₁₃×#137	C₂²	semidirect
25. C₂×C₁₃×#137	C₂²	semidirect
26. C₂×C₁₃×#137	C₂²	semidirect
27. C₂×C₁₃×#137	C₂²	semidirect
28. C₂²×C₁₃×Q₁₆	C₂²	semidirect
29. C₂²×C₁₃×SD₁₆	C₂²	semidirect
30. C₂²×C₁₃×M₁₆	C₂²	semidirect
37. D₄×Q₈×C₁₃	C₂²	semidirect
38. D₄×Q₈×C₁₃	C₂²	semidirect
49. C₂×C₁₃×C₄⋊Q₈	C₂²	semidirect
53. C₂×C₁₃×C₂²⋊Q₈	C₂²	semidirect
55. C₂×C₄×Q₈×C₁₃	C₂²	semidirect
59. C₁₃×#497	C₂²	semidirect
60. C₁₃×#494	C₂²	semidirect
61. C₁₃×#492	C₂²	semidirect
62. C₁₃×#470	C₂²	semidirect
63. C₁₃×#468	C₂²	semidirect
64. C₁₃×#467	C₂²	semidirect
65. C₁₃×#465	C₂²	semidirect
66. C₁₃×#464	C₂²	semidirect
67. C₁₃×#462	C₂²	semidirect
68. C₁₃×#462	C₂²	semidirect
69. C₁₃×#462	C₂²	semidirect
70. C₁₃×#461	C₂²	semidirect
71. C₁₃×#461	C₂²	semidirect
72. C₁₃×#460	C₂²	semidirect
73. C₁₃×#452	C₂²	semidirect
74. C₁₃×#452	C₂²	semidirect
75. C₁₃×#451	C₂²	semidirect
76. C₁₃×#451	C₂²	semidirect
77. C₁₃×#451	C₂²	semidirect
78. C₁₃×#450	C₂²	semidirect
79. C₁₃×#448	C₂²	semidirect
80. C₁₃×#448	C₂²	semidirect
81. C₁₃×#441	C₂²	semidirect
82. C₁₃×#440	C₂²	semidirect
83. C₄×C₁₃×Q₁₆	C₂²	semidirect
84. C₄×C₁₃×SD₁₆	C₂²	semidirect
85. C₁₃×#436	C₂²	semidirect
86. C₁₃×#435	C₂²	semidirect
88. C₁₃×#428	C₂²	semidirect
89. C₁₃×#423	C₂²	semidirect
90. C₁₃×#419	C₂²	semidirect
91. C₁₃×#419	C₂²	semidirect
93. C₁₃×#417	C₂²	semidirect
94. C₁₃×#407	C₂²	semidirect
95. C₄×C₁₃×M₁₆	C₂²	semidirect
127. C₁₃×#137	D₄	direct (N × H)
243. D₄×#137	C₁₃	direct (N × H)
273. C₂×Q₈×C₁₃	C₂×D₄	semidirect
325. C₁₃×Q₁₆	C₂×D₄	semidirect
330. C₁₃×SD₁₆	C₂×D₄	semidirect
334. C₁₃×M₁₆	C₂×D₄	semidirect
384. C₂²×#137	C₂×C₁₃	semidirect
386. C₂×D₄×Q₈	C₂×C₁₃	semidirect
387. D₄×Q₁₆	C₂×C₁₃	semidirect
388. D₄×SD₁₆	C₂×C₁₃	semidirect
389. #3278	C₂×C₁₃	semidirect
390. #3276	C₂×C₁₃	semidirect
391. #3270	C₂×C₁₃	semidirect
392. #3266	C₂×C₁₃	semidirect
393. #3152	C₂×C₁₃	semidirect
394. #3056	C₂×C₁₃	semidirect
395. #3039	C₂×C₁₃	semidirect
396. #3037	C₂×C₁₃	semidirect
397. #3007	C₂×C₁₃	semidirect
398. #3004	C₂×C₁₃	semidirect
399. C₄×#137	C₂×C₁₃	semidirect
400. D₄×M₁₆	C₂×C₁₃	semidirect
439. D₄×C₁₃	#137	direct (N × H)
483. C₂³×Q₈	C₂²×C₁₃	semidirect
487. C₂×#137	C₂²×C₁₃	semidirect
488. C₂×#137	C₂²×C₁₃	semidirect
489. C₂×#137	C₂²×C₁₃	semidirect
490. C₂×#137	C₂²×C₁₃	semidirect
491. C₂×#137	C₂²×C₁₃	semidirect
492. C₂²×Q₁₆	C₂²×C₁₃	semidirect
493. C₂²×SD₁₆	C₂²×C₁₃	semidirect
494. C₂²×M₁₆	C₂²×C₁₃	semidirect
501. D₄×Q₈	C₂²×C₁₃	semidirect
502. D₄×Q₈	C₂²×C₁₃	semidirect
513. C₂×C₄⋊Q₈	C₂²×C₁₃	semidirect
517. C₂×C₂²⋊Q₈	C₂²×C₁₃	semidirect
519. C₂×C₄×Q₈	C₂²×C₁₃	semidirect
523. #497	C₂²×C₁₃	semidirect
524. #494	C₂²×C₁₃	semidirect
525. #492	C₂²×C₁₃	semidirect
526. #470	C₂²×C₁₃	semidirect
527. #468	C₂²×C₁₃	semidirect
528. #467	C₂²×C₁₃	semidirect
529. #465	C₂²×C₁₃	semidirect
530. #464	C₂²×C₁₃	semidirect
531. #462	C₂²×C₁₃	semidirect
532. #462	C₂²×C₁₃	semidirect
533. #462	C₂²×C₁₃	semidirect
534. #461	C₂²×C₁₃	semidirect
535. #461	C₂²×C₁₃	semidirect
536. #460	C₂²×C₁₃	semidirect
537. #452	C₂²×C₁₃	semidirect
538. #452	C₂²×C₁₃	semidirect
539. #451	C₂²×C₁₃	semidirect
540. #451	C₂²×C₁₃	semidirect
541. #451	C₂²×C₁₃	semidirect
542. #450	C₂²×C₁₃	semidirect
543. #448	C₂²×C₁₃	semidirect
544. #448	C₂²×C₁₃	semidirect
545. #441	C₂²×C₁₃	semidirect
546. #440	C₂²×C₁₃	semidirect
547. C₄×Q₁₆	C₂²×C₁₃	semidirect
548. C₄×SD₁₆	C₂²×C₁₃	semidirect
549. #436	C₂²×C₁₃	semidirect
550. #435	C₂²×C₁₃	semidirect
552. #428	C₂²×C₁₃	semidirect
553. #423	C₂²×C₁₃	semidirect
554. #419	C₂²×C₁₃	semidirect
555. #419	C₂²×C₁₃	semidirect
557. #417	C₂²×C₁₃	semidirect
558. #407	C₂²×C₁₃	semidirect
559. C₄×M₁₆	C₂²×C₁₃	semidirect
576. C₂²×C₁₃	C₂×#137	semidirect
591. C₄×C₁₃	C₂×#137	semidirect
625. #137	D₄×C₁₃	direct (N × H)
778. C₂×Q₈	C₂×D₄×C₁₃	semidirect
830. Q₁₆	C₂×D₄×C₁₃	semidirect
835. SD₁₆	C₂×D₄×C₁₃	semidirect
839. M₁₆	C₂×D₄×C₁₃	semidirect
889. C₁₃	D₄×#137	direct (N × H)
928. D₄	C₁₃×#137	direct (N × H)
987. C₂²	C₂×C₁₃×#137	semidirect
1002. C₄	C₂×C₁₃×#137	semidirect

Maximal subgroups

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

subgroup	index
C₂²×C₁₃×#137	2
D₄×C₁₃×#41	2
C₂×D₄×Q₈×C₁₃	2
D₄×C₁₃×Q₁₆	2
D₄×C₁₃×SD₁₆	2
C₁₃×#3278	2
C₁₃×#3276	2
C₁₃×#3270	2
C₁₃×#3266	2
C₁₃×#3152	2
C₁₃×#3056	2
C₁₃×#3039	2
C₁₃×#3037	2
C₁₃×#3007	2
C₁₃×#3004	2
C₄×C₁₃×#137	2
D₄×C₁₃×M₁₆	2
D₄×#137	13

Subgroups — D4×C13×#137 #15747408

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — D₄×C₁₃×#137 #15747408