Subgroups — D₁₃×#2957 #16727234

Order 3328.

2642 conjugacy classes of subgroups.

The subgroup lattice has 1020 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×D₁₃×#135	C₂	1	1	yes	maximal, characteristic
2	D₁₃×#568	C₂	1	2	yes	maximal, complemented
3	#13123754	C₂	1	1	yes	maximal, characteristic, complemented
4	#13123753	C₂	1	1	yes	maximal, characteristic, complemented
5	#13123752	C₂	1	1	yes	maximal, characteristic, complemented
6	#13123751	C₂	1	2	yes	maximal, complemented
7	#13123750	C₂	1	4	yes	maximal, complemented
8	#13123749	C₂	1	2	yes	maximal, complemented
9	#13123748	C₂	1	4	yes	maximal, complemented
10	D₁₃×#444	C₂	1	4	yes	maximal, complemented
11	D₁₃×#443	C₂	1	4	yes	maximal, complemented
12	C₂×D₁₃×#108	C₂	1	1	yes	maximal, characteristic, complemented
13	D₁₃×#421	C₂	1	2	yes	maximal, complemented
14	D₁₃×#405	C₂	1	1	yes	maximal, characteristic, complemented
15	C₁₃×#2957	C₂	1	1	yes	maximal, characteristic, complemented
16	C₂×#41×D₁₃	C₂²	1	2	yes	—
17	C₂×C₁₃×#135	C₂²	1	1	yes	characteristic
18	C₁₃×#568	C₂²	1	2	yes	complemented
19	C₂×#88204	C₂²	1	2	yes	—
20	#11719524	C₂²	1	2	yes	complemented
21	D₁₃×#135	C₄	1	2	yes	complemented
22	D₁₃×#135	C₄	1	2	yes	complemented
23	D₁₃×#135	C₄	1	2	yes	complemented
24	D₁₃×#135	C₄	1	2	yes	complemented
25	D₁₃×#135	C₂²	1	2	yes	—
26	D₁₃×#135	C₂²	1	2	yes	—
27	D₁₃×#135	C₂²	1	2	yes	—
28	D₁₃×#135	C₂²	1	2	yes	—
29	C₂×#88173	C₄	1	1	yes	characteristic, complemented
30	C₂×Q₁₆×D₁₃	C₄	1	1	yes	characteristic, complemented
31	C₂×#88170	C₄	1	2	yes	complemented
32	C₂×SD₁₆×D₁₃	C₄	1	2	yes	complemented
33	C₂×#88166	C₄	1	1	yes	characteristic, complemented
34	C₂×D₈×D₁₃	C₄	1	1	yes	characteristic, complemented
35	#11719455	—	2	4	no	—
36	#11719455	C₂²	1	8	yes	complemented
37	D₁₃×#131	—	2	4	no	—
38	D₁₃×#131	C₂²	1	8	yes	complemented
39	#11719450	—	2	4	no	—
40	#11719450	C₂²	1	2	yes	complemented
41	#11719450	C₂²	1	2	yes	complemented
42	C₂×M₁₆×D₁₃	—	2	4	no	—
43	C₂×M₁₆×D₁₃	C₂²	1	2	yes	—
44	C₂×M₁₆×D₁₃	C₂²	1	1	yes	characteristic
45	C₂×#88158	C₂²	1	1	yes	characteristic
46	C₂²×C₈×D₁₃	C₂²	1	1	yes	characteristic
47	D₁₃×#117	C₂²	1	1	yes	characteristic
48	C₁₃×#444	C₂²	1	4	yes	complemented
49	C₁₃×#443	C₂²	1	4	yes	complemented
50	C₂×C₁₃×#108	C₂²	1	1	yes	characteristic, complemented
51	C₁₃×#421	C₂²	1	2	yes	complemented
52	C₁₃×#405	C₂²	1	1	yes	characteristic, complemented
53	#11718897	C₂²	1	2	yes	complemented
54	#11718858	C₂²	1	4	yes	complemented
55	#11718857	C₂²	1	4	yes	complemented
56	#11718806	C₂²	1	8	yes	complemented
57	#11718805	C₂²	1	8	yes	complemented
58	#11718800	C₂²	1	2	yes	complemented
59	C₂×#88062	C₂²	1	2	yes	complemented
60	#11718783	C₂²	1	1	yes	characteristic, complemented
61	C₂×#88059	C₂²	1	1	yes	characteristic, complemented
62	#11718762	C₂²	1	1	yes	characteristic, complemented
63	#11718666	C₂²	1	2	yes	complemented
64	#11718658	C₂²	1	1	yes	characteristic, complemented
65	#11718556	C₂²	1	4	yes	complemented
66	#11718555	C₂²	1	4	yes	complemented
67	D₁₃×#108	C₂²	1	2	yes	complemented
68	D₁₃×#108	C₂²	1	2	yes	complemented
69	D₁₃×#108	C₂²	1	2	yes	complemented
70	D₁₃×#108	C₂²	1	2	yes	complemented
71	#11718485	C₂²	1	8	yes	complemented
72	#11718484	C₂²	1	8	yes	complemented
73	#11718482	C₂²	1	8	yes	complemented
74	D₁₃×#104	C₂²	1	8	yes	complemented
75	#11718378	C₂²	1	4	yes	complemented
76	#11718369	C₂²	1	2	yes	complemented
77	D₁₃×#97	C₂²	1	2	yes	complemented
78	#11718361	C₂²	1	4	yes	complemented
79	#11718350	C₂²	1	2	yes	complemented
80	C₄×C₈×D₁₃	C₂²	1	2	yes	complemented
81	C₂×C₁₃×#41	C₂³	1	2	yes	—
82	#41×D₁₃	—	2	2	no	—
83	#41×D₁₃	—	2	2	no	—
84	#41×D₁₃	—	2	2	no	—
85	#41×D₁₃	—	2	2	no	—
86	#41×D₁₃	C₂×C₄	1	4	yes	—
87	#41×D₁₃	C₂×C₄	1	4	yes	—
88	#41×D₁₃	C₂³	1	4	yes	—
89	#41×D₁₃	C₂³	1	4	yes	—
90	C₂×#6131	C₂×C₄	1	2	yes	—
91	C₂×Q₈×D₁₃	C₂×C₄	1	2	yes	—
92	C₂×#6129	—	2	2	no	—
93	C₂×#6129	C₂×C₄	1	2	yes	—
94	C₂×D₄×D₁₃	—	2	2	no	—
95	C₂×D₄×D₁₃	C₂×C₄	1	2	yes	—
96	C₂×#6127	—	2	2	no	—
97	C₂×#6127	C₂³	1	2	yes	—
98	C₂²×C₄×D₁₃	—	2	2	no	—
99	C₂²×C₄×D₁₃	C₂³	1	1	yes	characteristic
100	C₁₃×#135	C₂×C₄	1	2	yes	complemented
101	C₁₃×#135	C₂×C₄	1	2	yes	complemented
102	C₁₃×#135	C₂³	1	2	yes	—
103	C₁₃×#135	C₂³	1	2	yes	—
104	C₂×C₁₃×Q₁₆	C₂×C₄	1	1	yes	characteristic, complemented
105	C₂×C₁₃×SD₁₆	C₂×C₄	1	2	yes	complemented
106	C₂×C₁₃×D₈	C₂×C₄	1	1	yes	characteristic, complemented
107	C₁₃×#131	—	2	4	no	—
108	C₁₃×#131	C₂³	1	8	yes	complemented
109	C₂×C₁₃×M₁₆	—	2	4	no	—
110	C₂×C₁₃×M₁₆	C₂³	1	2	yes	—
111	C₂×C₁₃×M₁₆	C₂³	1	1	yes	characteristic
112	C₂²×C₈×C₁₃	C₂³	1	1	yes	characteristic
113	C₁₃×#117	C₂³	1	1	yes	characteristic
114	#88204	C₂×C₄	1	4	yes	complemented
115	#88204	C₂×C₄	1	4	yes	complemented
116	#88204	C₂³	1	4	yes	—
117	#88204	C₂³	1	4	yes	—
118	#88202	—	2	4	no	—
119	#88202	C₂³	1	8	yes	complemented
120	C₂×#6107	C₂×C₄	1	2	yes	complemented
121	C₂×#6106	C₂×C₄	1	2	yes	complemented
122	C₂×#6105	C₂×C₄	1	2	yes	complemented
123	C₂×#6104	C₂×C₄	1	2	yes	complemented
124	#88180	C₂³	1	1	yes	characteristic
125	C₂×#6099	—	2	4	no	—
126	C₂×#6099	C₂³	1	2	yes	—
127	C₂×#6099	C₂³	1	1	yes	characteristic
128	C₂²×#1055	C₂³	1	1	yes	characteristic
129	#88173	C₂×C₄	1	2	yes	—
130	#88173	C₂×C₄	1	2	yes	—
131	#88173	C₂×C₄	1	2	yes	complemented
132	#88173	C₂×C₄	1	2	yes	complemented
133	Q₁₆×D₁₃	C₂×C₄	1	2	yes	—
134	Q₁₆×D₁₃	C₂×C₄	1	2	yes	—
135	Q₁₆×D₁₃	C₂×C₄	1	2	yes	complemented
136	Q₁₆×D₁₃	C₂×C₄	1	2	yes	complemented
137	#88170	C₂×C₄	1	4	yes	—
138	#88170	C₂×C₄	1	4	yes	—
139	#88170	C₂×C₄	1	4	yes	complemented
140	#88170	C₂×C₄	1	4	yes	complemented
141	SD₁₆×D₁₃	C₂×C₄	1	4	yes	—
142	SD₁₆×D₁₃	C₂×C₄	1	4	yes	—
143	SD₁₆×D₁₃	C₂×C₄	1	4	yes	complemented
144	SD₁₆×D₁₃	C₂×C₄	1	4	yes	complemented
145	#88166	C₂×C₄	1	2	yes	—
146	#88166	C₂×C₄	1	2	yes	—
147	#88166	C₂×C₄	1	2	yes	complemented
148	#88166	C₂×C₄	1	2	yes	complemented
149	D₈×D₁₃	C₂×C₄	1	2	yes	—
150	D₈×D₁₃	C₂×C₄	1	2	yes	—
151	D₈×D₁₃	C₂×C₄	1	2	yes	complemented
152	D₈×D₁₃	C₂×C₄	1	2	yes	complemented
153	#88161	—	2	4	no	—
154	#88161	—	2	8	no	—
155	#88161	—	2	8	no	—
156	#88161	C₂³	1	8	yes	complemented
157	M₁₆×D₁₃	—	2	2	no	—
158	M₁₆×D₁₃	—	2	2	no	—
159	M₁₆×D₁₃	—	2	4	no	—
160	M₁₆×D₁₃	—	2	4	no	—
161	M₁₆×D₁₃	—	2	8	no	—
162	M₁₆×D₁₃	—	2	8	no	—
163	M₁₆×D₁₃	D₄	1	2	yes	—
164	M₁₆×D₁₃	D₄	1	2	yes	—
165	M₁₆×D₁₃	D₄	1	2	yes	—
166	M₁₆×D₁₃	D₄	1	2	yes	—
167	M₁₆×D₁₃	C₂³	1	4	yes	—
168	M₁₆×D₁₃	C₂³	1	4	yes	—
169	C₂×Dic₅₂	C₂×C₄	1	1	yes	characteristic, complemented
170	#88158	C₂×C₄	1	2	yes	complemented
171	#88158	C₂×C₄	1	2	yes	complemented
172	#88158	C₂³	1	2	yes	—
173	#88158	C₂³	1	2	yes	—
174	C₂×D₁₀₄	C₂×C₄	1	1	yes	characteristic, complemented
175	C₂×#6095	C₂×C₄	1	2	yes	complemented
176	#88155	—	2	4	no	—
177	#88155	—	2	8	no	—
178	#88155	—	2	8	no	—
179	#88155	C₂³	1	8	yes	complemented
180	C₂×#6094	—	2	2	no	—
181	C₂×#6094	—	2	8	no	—
182	C₂×#6094	C₂³	1	2	yes	—
183	C₂×C₈×D₁₃	—	2	2	no	—
184	C₂×C₈×D₁₃	—	2	8	no	—
185	C₂×C₈×D₁₃	C₂×C₄	1	1	yes	characteristic
186	C₂×C₈×D₁₃	C₂×C₄	1	1	yes	characteristic
187	C₂×C₈×D₁₃	C₂×C₄	1	1	yes	characteristic
188	C₂×C₈×D₁₃	C₂×C₄	1	1	yes	characteristic
189	C₂×C₈×D₁₃	C₂×C₄	1	1	yes	characteristic
190	C₂×C₈×D₁₃	C₂×C₄	1	1	yes	characteristic
191	C₂×C₈×D₁₃	C₂×C₄	1	1	yes	characteristic
192	C₂×C₈×D₁₃	C₂×C₄	1	1	yes	characteristic
193	C₂×C₈×D₁₃	C₂³	1	1	yes	characteristic
194	C₂×C₈×D₁₃	C₂³	1	1	yes	characteristic
195	C₂×C₈×D₁₃	C₂³	1	1	yes	characteristic
196	C₂×C₈×D₁₃	C₂³	1	1	yes	characteristic
197	C₂×C₈×D₁₃	C₂³	1	2	yes	—
198	#88146	—	2	1	no	—
199	C₄⋊C₄×D₁₃	—	2	1	no	—
200	C₂²⋊C₄×D₁₃	—	2	1	no	—
201	#88131	—	2	1	no	—
202	#88126	C₂³	1	2	yes	—
203	C₄²×D₁₃	C₂³	1	2	yes	—
204	C₁₃×#108	C₂³	1	2	yes	complemented
205	C₁₃×#108	C₂³	1	2	yes	complemented
206	C₁₃×#104	C₂³	1	8	yes	complemented
207	C₁₃×#97	C₂³	1	2	yes	complemented
208	C₄×C₈×C₁₃	C₂³	1	2	yes	complemented
209	#88077	C₂³	1	8	yes	complemented
210	#88065	C₂³	1	8	yes	complemented
211	#88062	C₂³	1	4	yes	complemented
212	#88062	C₂³	1	4	yes	complemented
213	#88059	C₂³	1	2	yes	complemented
214	#88059	C₂³	1	2	yes	complemented
215	#88055	C₂³	1	2	yes	complemented
216	#88055	C₂³	1	2	yes	complemented
217	C₈×Dic₁₃	C₂³	1	2	yes	complemented
218	C₈×Dic₁₃	C₂³	1	2	yes	complemented
219	#88045	C₂³	1	8	yes	complemented
220	#88043	C₂³	1	2	yes	complemented
221	C₄×#1055	C₂³	1	2	yes	complemented
222	C₂×#2957	—	13	1	no	maximal, Sylow
223	C₂³×D₁₃	—	2	2	no	—
224	C₂³×D₁₃	#41	1	1	yes	characteristic
225	C₁₃×#41	—	2	2	no	—
226	C₁₃×#41	—	2	2	no	—
227	C₁₃×#41	C₂²×C₄	1	4	yes	—
228	C₁₃×#41	C₂⁴	1	4	yes	—
229	C₂×Q₈×C₁₃	C₂²×C₄	1	2	yes	—
230	C₂×D₄×C₁₃	—	2	2	no	—
231	C₂×D₄×C₁₃	C₂²×C₄	1	2	yes	—
232	C₂²×C₄×C₁₃	—	2	2	no	—
233	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
234	C₂×C₂²⋊D₁₃	—	2	2	no	—
235	C₂×C₂²⋊D₁₃	—	2	2	no	—
236	C₂×C₂²⋊D₁₃	—	2	2	no	—
237	C₂²×Dic₁₃	—	2	2	no	—
238	C₂²×Dic₁₃	#41	1	1	yes	characteristic
239	#6131	—	2	2	no	—
240	#6131	—	2	2	no	—
241	#6131	C₂²×C₄	1	4	yes	—
242	#6131	C₂²×C₄	1	4	yes	—
243	Q₈×D₁₃	—	2	2	no	—
244	Q₈×D₁₃	—	2	2	no	—
245	Q₈×D₁₃	C₂²×C₄	1	4	yes	—
246	Q₈×D₁₃	C₂²×C₄	1	4	yes	—
247	#6129	—	2	4	no	—
248	#6129	—	2	4	no	—
249	#6129	—	2	4	no	—
250	#6129	—	2	4	no	—
251	#6129	—	2	2	no	—
252	#6129	—	2	2	no	—
253	#6129	C₂²×C₄	1	4	yes	—
254	#6129	C₂²×C₄	1	4	yes	—
255	D₄×D₁₃	—	2	4	no	—
256	D₄×D₁₃	—	2	4	no	—
257	D₄×D₁₃	—	2	4	no	—
258	D₄×D₁₃	—	2	4	no	—
259	D₄×D₁₃	—	2	2	no	—
260	D₄×D₁₃	—	2	2	no	—
261	D₄×D₁₃	C₂²×C₄	1	4	yes	—
262	D₄×D₁₃	C₂²×C₄	1	4	yes	—
263	#6127	—	2	2	no	—
264	#6127	—	2	2	no	—
265	#6127	—	2	4	no	—
266	#6127	—	2	4	no	—
267	#6127	—	2	4	no	—
268	#6127	—	2	4	no	—
269	#6127	C₂²×C₄	1	4	yes	—
270	#6127	C₂⁴	1	4	yes	—
271	C₂×D₅₂	—	2	2	no	—
272	C₂×D₅₂	C₂²×C₄	1	2	yes	—
273	C₂×C₄×D₁₃	—	2	2	no	—
274	C₂×C₄×D₁₃	—	2	2	no	—
275	C₂×C₄×D₁₃	—	2	2	no	—
276	C₂×C₄×D₁₃	—	2	4	no	—
277	C₂×C₄×D₁₃	—	2	4	no	—
278	C₂×C₄×D₁₃	—	2	4	no	—
279	C₂×C₄×D₁₃	—	2	4	no	—
280	C₂×C₄×D₁₃	—	2	2	no	—
281	C₂×C₄×D₁₃	C₂²×C₄	1	1	yes	characteristic
282	C₂×C₄×D₁₃	C₂²×C₄	1	1	yes	characteristic
283	C₂×C₄×D₁₃	C₂²×C₄	1	1	yes	characteristic
284	C₂×C₄×D₁₃	C₂²×C₄	1	1	yes	characteristic
285	C₂×C₄×D₁₃	C₂×D₄	1	1	yes	characteristic
286	C₂×C₄×D₁₃	C₂×D₄	1	1	yes	characteristic
287	C₂×C₄×D₁₃	C₂×D₄	1	1	yes	characteristic
288	C₂×C₄×D₁₃	C₂×D₄	1	1	yes	characteristic
289	C₂×C₄×D₁₃	#41	1	1	yes	characteristic
290	C₂×C₄×D₁₃	#41	1	1	yes	characteristic
291	C₂×C₄×D₁₃	C₂⁴	1	1	yes	characteristic
292	C₂×C₄×D₁₃	C₂⁴	1	1	yes	characteristic
293	C₂×Dic₂₆	—	2	2	no	—
294	C₂×Dic₂₆	C₂²×C₄	1	2	yes	—
295	C₁₃×Q₁₆	C₂²×C₄	1	2	yes	—
296	C₁₃×Q₁₆	C₂²×C₄	1	2	yes	—
297	C₁₃×SD₁₆	C₂²×C₄	1	4	yes	—
298	C₁₃×SD₁₆	C₂²×C₄	1	4	yes	—
299	C₁₃×D₈	C₂²×C₄	1	2	yes	—
300	C₁₃×D₈	C₂²×C₄	1	2	yes	—
301	C₁₃×M₁₆	—	2	2	no	—
302	C₁₃×M₁₆	—	2	8	no	—
303	C₁₃×M₁₆	C₂×D₄	1	2	yes	—
304	C₁₃×M₁₆	C₂×D₄	1	2	yes	—
305	C₁₃×M₁₆	C₂⁴	1	4	yes	—
306	C₂×C₈×C₁₃	—	2	2	no	—
307	C₂×C₈×C₁₃	—	2	8	no	—
308	C₂×C₈×C₁₃	C₂²×C₄	1	1	yes	characteristic
309	C₂×C₈×C₁₃	C₂²×C₄	1	1	yes	characteristic
310	C₂×C₈×C₁₃	C₂²×C₄	1	1	yes	characteristic
311	C₂×C₈×C₁₃	C₂²×C₄	1	1	yes	characteristic
312	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
313	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
314	C₂×C₈×C₁₃	C₂⁴	1	2	yes	—
315	C₁₃×C₄⋊C₄	—	2	1	no	—
316	C₁₃×C₂²⋊C₄	—	2	1	no	—
317	C₄²×C₁₃	C₂⁴	1	2	yes	—
318	C₂²⋊Dic₁₃	—	2	1	no	—
319	#6107	C₂²×C₄	1	4	yes	—
320	#6107	C₂²×C₄	1	4	yes	—
321	#6106	C₂²×C₄	1	4	yes	—
322	#6106	C₂²×C₄	1	4	yes	—
323	#6105	C₂²×C₄	1	4	yes	—
324	#6105	C₂²×C₄	1	4	yes	—
325	#6104	C₂²×C₄	1	4	yes	—
326	#6104	C₂²×C₄	1	4	yes	—
327	#6103	—	2	2	no	—
328	C₄⋊Dic₁₃	—	2	1	no	—
329	#6101	—	2	2	no	—
330	C₄×Dic₁₃	—	2	2	no	—
331	C₄×Dic₁₃	C₂⁴	1	2	yes	—
332	#6099	—	2	2	no	—
333	#6099	—	2	8	no	—
334	#6099	C₂×D₄	1	2	yes	—
335	#6099	C₂×D₄	1	2	yes	—
336	#6099	C₂⁴	1	4	yes	—
337	C₂×#1055	—	2	2	no	—
338	C₂×#1055	—	2	8	no	—
339	C₂×#1055	C₂²×C₄	1	1	yes	characteristic
340	C₂×#1055	C₂²×C₄	1	1	yes	characteristic
341	C₂×#1055	C₂²×C₄	1	1	yes	characteristic
342	C₂×#1055	C₂²×C₄	1	1	yes	characteristic
343	C₂×#1055	C₂⁴	1	1	yes	characteristic
344	C₂×#1055	C₂⁴	1	1	yes	characteristic
345	C₂×#1055	C₂⁴	1	2	yes	—
346	Dic₅₂	C₂²×C₄	1	2	yes	—
347	Dic₅₂	C₂²×C₄	1	2	yes	—
348	D₁₀₄	C₂²×C₄	1	2	yes	—
349	D₁₀₄	C₂²×C₄	1	2	yes	—
350	#6095	C₂²×C₄	1	4	yes	—
351	#6095	C₂²×C₄	1	4	yes	—
352	#6094	—	2	4	no	—
353	#6094	—	2	4	no	—
354	#6094	—	2	8	no	—
355	#6094	—	2	8	no	—
356	#6094	C₂×D₄	1	4	yes	—
357	#6094	C₂×D₄	1	4	yes	—
358	C₈×D₁₃	—	2	4	no	—
359	C₈×D₁₃	—	2	4	no	—
360	C₈×D₁₃	—	2	8	no	—
361	C₈×D₁₃	—	2	8	no	—
362	C₈×D₁₃	C₂²×C₄	1	1	yes	characteristic
363	C₈×D₁₃	C₂²×C₄	1	1	yes	characteristic
364	C₈×D₁₃	C₂²×C₄	1	1	yes	characteristic
365	C₈×D₁₃	C₂²×C₄	1	1	yes	characteristic
366	C₈×D₁₃	C₂²×C₄	1	1	yes	characteristic
367	C₈×D₁₃	C₂²×C₄	1	1	yes	characteristic
368	C₈×D₁₃	C₂²×C₄	1	1	yes	characteristic
369	C₈×D₁₃	C₂²×C₄	1	1	yes	characteristic
370	C₈×D₁₃	C₂²×C₄	1	1	yes	characteristic
371	C₈×D₁₃	C₂²×C₄	1	1	yes	characteristic
372	C₈×D₁₃	C₂²×C₄	1	1	yes	characteristic
373	C₈×D₁₃	C₂²×C₄	1	1	yes	characteristic
374	C₈×D₁₃	C₂²×C₄	1	1	yes	characteristic
375	C₈×D₁₃	C₂²×C₄	1	1	yes	characteristic
376	C₈×D₁₃	C₂²×C₄	1	1	yes	characteristic
377	C₈×D₁₃	C₂²×C₄	1	1	yes	characteristic
378	C₈×D₁₃	C₂×D₄	1	4	yes	—
379	C₈×D₁₃	C₂×D₄	1	4	yes	—
380	C₂²×#135	—	13	1	no	—
381	C₂×#568	—	13	2	no	—
382	#2957	—	13	4	no	—
383	#2957	—	13	4	no	—
384	#2957	—	13	1	no	—
385	#2957	—	13	2	no	—
386	#2957	—	13	1	no	—
387	#2957	—	13	1	no	—
388	#2957	—	13	2	no	—
389	#2957	D₁₃	1	1	yes	characteristic, direct product factor
390	C₂×#444	—	13	4	no	—
391	C₂×#443	—	13	4	no	—
392	C₂²×#108	—	13	1	no	—
393	C₂×#421	—	13	2	no	—
394	C₂×#405	—	13	1	no	—
395	C₂³×C₁₃	—	2	2	no	—
396	C₂³×C₁₃	C₂×#41	1	1	yes	characteristic
397	C₂²×D₁₃	—	2	2	no	—
398	C₂²×D₁₃	—	2	4	no	—
399	C₂²×D₁₃	—	2	4	no	—
400	C₂²×D₁₃	—	4	2	no	—
401	C₂²×D₁₃	—	8	4	no	—
402	C₂²×D₁₃	C₄×D₄	1	1	yes	characteristic
403	C₂²×D₁₃	C₄×D₄	1	1	yes	characteristic
404	C₂²×D₁₃	C₄×D₄	1	1	yes	characteristic
405	C₂²×D₁₃	C₄×D₄	1	1	yes	characteristic
406	C₂²×D₁₃	C₂×#41	1	1	yes	characteristic
407	C₂²×D₁₃	C₂×#41	1	1	yes	characteristic
408	Q₈×C₁₃	—	2	2	no	—
409	Q₈×C₁₃	C₂³×C₄	1	4	yes	—
410	D₄×C₁₃	—	2	4	no	—
411	D₄×C₁₃	—	2	4	no	—
412	D₄×C₁₃	—	2	2	no	—
413	D₄×C₁₃	C₂³×C₄	1	4	yes	—
414	C₂×C₄×C₁₃	—	2	2	no	—
415	C₂×C₄×C₁₃	—	2	4	no	—
416	C₂×C₄×C₁₃	—	2	4	no	—
417	C₂×C₄×C₁₃	—	2	2	no	—
418	C₂×C₄×C₁₃	C₂³×C₄	1	1	yes	characteristic
419	C₂×C₄×C₁₃	C₂³×C₄	1	1	yes	characteristic
420	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
421	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
422	C₂×C₄×C₁₃	C₂×#41	1	1	yes	characteristic
423	C₂×C₄×C₁₃	C₂⁵	1	1	yes	characteristic
424	C₂²⋊D₁₃	—	2	4	no	—
425	C₂²⋊D₁₃	—	2	4	no	—
426	C₂²⋊D₁₃	—	2	4	no	—
427	C₂²⋊D₁₃	—	2	4	no	—
428	C₂²⋊D₁₃	—	2	4	no	—
429	C₂²⋊D₁₃	—	2	4	no	—
430	C₂×Dic₁₃	—	2	2	no	—
431	C₂×Dic₁₃	—	2	4	no	—
432	C₂×Dic₁₃	—	2	4	no	—
433	C₂×Dic₁₃	—	2	2	no	—
434	C₂×Dic₁₃	C₄×D₄	1	1	yes	characteristic
435	C₂×Dic₁₃	C₄×D₄	1	1	yes	characteristic
436	C₂×Dic₁₃	C₄×D₄	1	1	yes	characteristic
437	C₂×Dic₁₃	C₄×D₄	1	1	yes	characteristic
438	C₂×Dic₁₃	C₂×#41	1	1	yes	characteristic
439	C₂×Dic₁₃	C₂×#41	1	1	yes	characteristic
440	D₅₂	—	2	4	no	—
441	D₅₂	—	2	4	no	—
442	D₅₂	—	2	2	no	—
443	D₅₂	C₂³×C₄	1	4	yes	—
444	C₄×D₁₃	—	2	4	no	—
445	C₄×D₁₃	—	2	4	no	—
446	C₄×D₁₃	—	2	4	no	—
447	C₄×D₁₃	—	2	4	no	—
448	C₄×D₁₃	—	2	4	no	—
449	C₄×D₁₃	—	2	4	no	—
450	C₄×D₁₃	—	4	4	no	—
451	C₄×D₁₃	C₄×D₄	1	1	yes	characteristic
452	C₄×D₁₃	C₄×D₄	1	1	yes	characteristic
453	C₄×D₁₃	C₄×D₄	1	1	yes	characteristic
454	C₄×D₁₃	C₄×D₄	1	1	yes	characteristic
455	C₄×D₁₃	C₄×D₄	1	1	yes	characteristic
456	C₄×D₁₃	C₄×D₄	1	1	yes	characteristic
457	C₄×D₁₃	C₄×D₄	1	1	yes	characteristic
458	C₄×D₁₃	C₄×D₄	1	1	yes	characteristic
459	C₄×D₁₃	C₂³×C₄	1	1	yes	characteristic
460	C₄×D₁₃	C₂³×C₄	1	1	yes	characteristic
461	C₄×D₁₃	C₂³×C₄	1	1	yes	characteristic
462	C₄×D₁₃	C₂³×C₄	1	1	yes	characteristic
463	C₄×D₁₃	C₂²×D₄	1	1	yes	characteristic
464	C₄×D₁₃	C₂²×D₄	1	1	yes	characteristic
465	C₄×D₁₃	C₂²×D₄	1	1	yes	characteristic
466	C₄×D₁₃	C₂²×D₄	1	1	yes	characteristic
467	Dic₂₆	—	2	2	no	—
468	Dic₂₆	—	2	4	no	—
469	Dic₂₆	—	2	4	no	—
470	Dic₂₆	C₂³×C₄	1	4	yes	—
471	C₈×C₁₃	—	2	4	no	—
472	C₈×C₁₃	C₂³×C₄	1	1	yes	characteristic
473	C₈×C₁₃	C₂³×C₄	1	1	yes	characteristic
474	C₈×C₁₃	C₂³×C₄	1	1	yes	characteristic
475	C₈×C₁₃	C₂³×C₄	1	1	yes	characteristic
476	C₈×C₁₃	C₂²×D₄	1	4	yes	—
477	#1055	—	2	4	no	—
478	#1055	C₂³×C₄	1	1	yes	characteristic
479	#1055	C₂³×C₄	1	1	yes	characteristic
480	#1055	C₂³×C₄	1	1	yes	characteristic
481	#1055	C₂³×C₄	1	1	yes	characteristic
482	#1055	C₂²×D₄	1	4	yes	—
483	C₂²×#41	—	13	2	no	—
484	C₂×#135	—	13	2	no	—
485	C₂×#135	—	13	2	no	—
486	C₂×#135	—	13	2	no	—
487	C₂×#135	—	13	2	no	—
488	C₂×#135	—	13	2	no	—
489	C₂×#135	—	13	2	no	—
490	C₂×#135	—	13	2	no	—
491	C₂×#135	—	13	2	no	—
492	C₂×#135	—	13	2	no	—
493	C₂×#135	—	13	1	no	—
494	C₂×#135	—	13	2	no	—
495	C₂×#135	—	13	1	no	—
496	C₂×#135	—	13	1	no	—
497	C₂×#135	C₂×D₁₃	1	1	yes	characteristic
498	C₂²×Q₁₆	—	13	1	no	—
499	C₂²×SD₁₆	—	13	2	no	—
500	C₂²×D₈	—	13	1	no	—
501	#568	—	13	2	no	—
502	#568	—	13	8	no	—
503	#568	—	13	2	no	—
504	#568	—	13	2	no	—
505	#568	—	26	4	no	—
506	#568	—	26	4	no	—
507	#568	C₂×D₁₃	1	2	yes	complemented
508	C₂×#131	—	13	8	no	—
509	C₂×#131	—	26	4	no	—
510	C₂²×M₁₆	—	13	1	no	—
511	C₂²×M₁₆	—	13	2	no	—
512	C₂²×M₁₆	—	26	4	no	—
513	C₂³×C₈	—	13	1	no	—
514	C₂×#117	—	13	1	no	—
515	#444	—	13	4	no	—
516	#444	—	13	8	no	—
517	#444	—	13	4	no	—
518	#444	—	13	8	no	—
519	#444	—	13	4	no	—
520	#444	C₂×D₁₃	1	4	yes	complemented
521	#443	—	13	4	no	—
522	#443	—	13	8	no	—
523	#443	—	13	4	no	—
524	#443	—	13	8	no	—
525	#443	—	13	4	no	—
526	#443	C₂×D₁₃	1	4	yes	complemented
527	C₂×#108	—	13	2	no	—
528	C₂×#108	—	13	1	no	—
529	C₂×#108	—	13	2	no	—
530	C₂×#108	—	13	2	no	—
531	C₂×#108	—	13	2	no	—
532	C₂×#108	—	13	2	no	—
533	C₂×#108	C₂×D₁₃	1	1	yes	characteristic, complemented
534	#421	—	13	2	no	—
535	#421	—	13	2	no	—
536	#421	—	13	2	no	—
537	#421	—	13	8	no	—
538	#421	C₂×D₁₃	1	2	yes	complemented
539	C₂×#104	—	13	8	no	—
540	#405	—	13	1	no	—
541	#405	—	13	1	no	—
542	#405	—	13	1	no	—
543	#405	—	13	2	no	—
544	#405	—	13	2	no	—
545	#405	C₂×D₁₃	1	1	yes	characteristic, complemented
546	C₂×#97	—	13	2	no	—
547	C₂×C₄×C₈	—	13	2	no	—
548	C₂²×C₁₃	—	2	4	no	—
549	C₂²×C₁₃	—	4	1	no	—
550	C₂²×C₁₃	—	8	2	no	—
551	C₂²×C₁₃	C₂×C₄×D₄	1	1	yes	characteristic
552	C₂²×C₁₃	C₂×C₄×D₄	1	1	yes	characteristic
553	C₂²×C₁₃	C₂²×#41	1	1	yes	characteristic
554	C₂×D₁₃	—	2	2	no	—
555	C₂×D₁₃	—	2	2	no	—
556	C₂×D₁₃	—	2	2	no	—
557	C₂×D₁₃	—	2	4	no	—
558	C₂×D₁₃	—	4	1	no	—
559	C₂×D₁₃	—	4	1	no	—
560	C₂×D₁₃	—	4	1	no	—
561	C₂×D₁₃	—	4	8	no	—
562	C₂×D₁₃	—	8	4	no	—
563	C₂×D₁₃	—	8	2	no	—
564	C₂×D₁₃	C₂×C₄×D₄	1	1	yes	characteristic
565	C₂×D₁₃	C₂×C₄×D₄	1	1	yes	characteristic
566	C₂×D₁₃	C₂×C₄×D₄	1	1	yes	characteristic
567	C₂×D₁₃	C₂×C₄×D₄	1	1	yes	characteristic
568	C₄×C₁₃	—	2	4	no	—
569	C₄×C₁₃	—	4	2	no	—
570	C₄×C₁₃	C₂×C₄×D₄	1	1	yes	characteristic
571	C₄×C₁₃	C₂×C₄×D₄	1	1	yes	characteristic
572	C₄×C₁₃	C₂⁴×C₄	1	1	yes	characteristic
573	C₄×C₁₃	C₂³×D₄	1	1	yes	characteristic
574	Dic₁₃	—	2	4	no	—
575	Dic₁₃	—	4	2	no	—
576	Dic₁₃	C₂×C₄×D₄	1	1	yes	characteristic
577	Dic₁₃	C₂×C₄×D₄	1	1	yes	characteristic
578	Dic₁₃	C₂×C₄×D₄	1	1	yes	characteristic
579	Dic₁₃	C₂×C₄×D₄	1	1	yes	characteristic
580	C₂×#41	—	13	4	no	—
581	C₂×#41	—	13	4	no	—
582	C₂×#41	—	13	4	no	—
583	C₂×#41	—	13	4	no	—
584	C₂×#41	—	13	2	no	—
585	C₂×#41	—	13	2	no	—
586	C₂×#41	—	13	2	no	—
587	C₂×#41	—	26	2	no	—
588	C₂×#41	—	26	2	no	—
589	C₂×#41	—	26	2	no	—
590	C₂×#41	—	26	2	no	—
591	C₂×#41	—	26	2	no	—
592	C₂×#41	—	26	2	no	—
593	C₂×#41	C₂²×D₁₃	1	2	yes	—
594	C₂²×Q₈	—	13	2	no	—
595	C₂²×D₄	—	13	2	no	—
596	C₂²×D₄	—	26	2	no	—
597	C₂³×C₄	—	13	1	no	—
598	C₂³×C₄	—	26	2	no	—
599	#135	—	13	4	no	—
600	#135	—	13	4	no	—
601	#135	—	13	4	no	—
602	#135	—	13	4	no	—
603	#135	—	13	2	no	—
604	#135	—	13	2	no	—
605	#135	—	13	2	no	—
606	#135	—	13	2	no	—
607	#135	—	13	4	no	—
608	#135	—	13	4	no	—
609	#135	—	13	4	no	—
610	#135	—	13	4	no	—
611	#135	—	13	2	no	—
612	#135	—	13	2	no	—
613	#135	—	13	2	no	—
614	#135	—	13	2	no	—
615	#135	—	13	2	no	—
616	#135	—	13	2	no	—
617	#135	—	13	2	no	—
618	#135	—	13	2	no	—
619	#135	C₄×D₁₃	1	2	yes	complemented
620	#135	C₄×D₁₃	1	2	yes	complemented
621	#135	C₂²×D₁₃	1	2	yes	—
622	#135	C₂²×D₁₃	1	2	yes	—
623	C₂×Q₁₆	—	13	2	no	—
624	C₂×Q₁₆	—	13	2	no	—
625	C₂×Q₁₆	—	13	2	no	—
626	C₂×Q₁₆	—	13	2	no	—
627	C₂×Q₁₆	—	13	2	no	—
628	C₂×Q₁₆	—	13	1	no	—
629	C₂×Q₁₆	C₄×D₁₃	1	1	yes	characteristic, complemented
630	C₂×SD₁₆	—	13	2	no	—
631	C₂×SD₁₆	—	13	2	no	—
632	C₂×SD₁₆	—	13	4	no	—
633	C₂×SD₁₆	—	13	4	no	—
634	C₂×SD₁₆	—	13	4	no	—
635	C₂×SD₁₆	—	13	4	no	—
636	C₂×SD₁₆	—	13	2	no	—
637	C₂×SD₁₆	C₄×D₁₃	1	2	yes	complemented
638	C₂×D₈	—	13	2	no	—
639	C₂×D₈	—	13	2	no	—
640	C₂×D₈	—	13	2	no	—
641	C₂×D₈	—	13	2	no	—
642	C₂×D₈	—	13	2	no	—
643	C₂×D₈	—	13	1	no	—
644	C₂×D₈	C₄×D₁₃	1	1	yes	characteristic, complemented
645	#131	—	2	4	no	—
646	#131	—	13	8	no	—
647	#131	—	13	8	no	—
648	#131	—	13	8	no	—
649	#131	—	26	8	no	—
650	#131	—	26	4	no	—
651	#131	—	26	8	no	—
652	#131	—	26	8	no	—
653	#131	—	26	8	no	—
654	#131	—	26	4	no	—
655	#131	—	26	4	no	—
656	#131	C₂²×D₁₃	1	8	yes	complemented
657	C₂×M₁₆	—	2	4	no	—
658	C₂×M₁₆	—	13	1	no	—
659	C₂×M₁₆	—	13	2	no	—
660	C₂×M₁₆	—	13	2	no	—
661	C₂×M₁₆	—	13	2	no	—
662	C₂×M₁₆	—	13	2	no	—
663	C₂×M₁₆	—	13	2	no	—
664	C₂×M₁₆	—	13	2	no	—
665	C₂×M₁₆	—	13	4	no	—
666	C₂×M₁₆	—	13	4	no	—
667	C₂×M₁₆	—	26	8	no	—
668	C₂×M₁₆	—	26	2	no	—
669	C₂×M₁₆	—	26	8	no	—
670	C₂×M₁₆	—	26	4	no	—
671	C₂×M₁₆	—	26	8	no	—
672	C₂×M₁₆	—	26	2	no	—
673	C₂×M₁₆	—	26	2	no	—
674	C₂×M₁₆	—	26	4	no	—
675	C₂×M₁₆	—	26	4	no	—
676	C₂×M₁₆	C₂²×D₁₃	1	2	yes	—
677	C₂×M₁₆	C₂²×D₁₃	1	1	yes	characteristic
678	C₂²×C₈	—	13	1	no	—
679	C₂²×C₈	—	13	1	no	—
680	C₂²×C₈	—	13	1	no	—
681	C₂²×C₈	—	13	1	no	—
682	C₂²×C₈	—	13	1	no	—
683	C₂²×C₈	—	13	1	no	—
684	C₂²×C₈	—	13	1	no	—
685	C₂²×C₈	—	13	1	no	—
686	C₂²×C₈	—	13	1	no	—
687	C₂²×C₈	—	13	1	no	—
688	C₂²×C₈	—	13	1	no	—
689	C₂²×C₈	—	13	1	no	—
690	C₂²×C₈	—	13	1	no	—
691	C₂²×C₈	—	13	2	no	—
692	C₂²×C₈	—	26	8	no	—
693	C₂²×C₈	—	26	2	no	—
694	C₂²×C₈	C₂²×D₁₃	1	1	yes	characteristic
695	#117	—	13	1	no	—
696	#117	—	13	2	no	—
697	#117	—	26	1	no	—
698	#117	—	26	1	no	—
699	#117	C₂²×D₁₃	1	1	yes	characteristic
700	C₂×C₄⋊C₄	—	26	1	no	—
701	C₂×C₂²⋊C₄	—	26	1	no	—
702	C₂×C₄²	—	13	2	no	—
703	#108	—	13	4	no	—
704	#108	—	13	4	no	—
705	#108	—	13	2	no	—
706	#108	—	13	2	no	—
707	#108	C₂²×D₁₃	1	2	yes	complemented
708	#108	C₂²×D₁₃	1	2	yes	complemented
709	#104	—	13	8	no	—
710	#104	—	13	8	no	—
711	#104	—	13	8	no	—
712	#104	C₂²×D₁₃	1	8	yes	complemented
713	#97	—	13	2	no	—
714	#97	—	13	2	no	—
715	#97	—	13	2	no	—
716	#97	C₂²×D₁₃	1	2	yes	complemented
717	C₄×C₈	—	13	2	no	—
718	C₄×C₈	—	13	2	no	—
719	C₄×C₈	—	13	2	no	—
720	C₄×C₈	C₂²×D₁₃	1	2	yes	complemented
721	C₂×C₁₃	—	2	1	no	—
722	C₂×C₁₃	—	2	1	no	—
723	C₂×C₁₃	—	2	1	no	—
724	C₂×C₁₃	—	4	4	no	—
725	C₂×C₁₃	C₂²×C₄×D₄	1	1	yes	characteristic
726	D₁₃	—	2	1	no	—
727	D₁₃	—	2	1	no	—
728	D₁₃	—	2	1	no	—
729	D₁₃	—	4	4	no	—
730	D₁₃	#2957	1	2	yes	direct product factor
731	C₂⁴	—	13	1	no	—
732	C₂⁴	—	26	2	no	—
733	#41	—	2	2	no	—
734	#41	—	2	2	no	—
735	#41	—	13	4	no	—
736	#41	—	13	4	no	—
737	#41	—	13	4	no	—
738	#41	—	13	4	no	—
739	#41	—	13	4	no	—
740	#41	—	13	4	no	—
741	#41	—	26	4	no	—
742	#41	—	26	4	no	—
743	#41	—	26	4	no	—
744	#41	—	26	4	no	—
745	#41	—	26	4	no	—
746	#41	—	26	4	no	—
747	#41	—	26	4	no	—
748	#41	—	26	4	no	—
749	#41	—	26	2	no	—
750	#41	—	26	2	no	—
751	#41	—	26	2	no	—
752	#41	—	26	2	no	—
753	#41	—	26	2	no	—
754	#41	—	26	2	no	—
755	#41	C₂×C₄×D₁₃	1	4	yes	—
756	#41	C₂³×D₁₃	1	4	yes	—
757	C₂×Q₈	—	13	4	no	—
758	C₂×Q₈	—	13	4	no	—
759	C₂×Q₈	—	13	2	no	—
760	C₂×Q₈	—	26	2	no	—
761	C₂×Q₈	—	26	2	no	—
762	C₂×Q₈	—	26	2	no	—
763	C₂×Q₈	C₂×C₄×D₁₃	1	2	yes	—
764	C₂×D₄	—	2	2	no	—
765	C₂×D₄	—	13	4	no	—
766	C₂×D₄	—	13	4	no	—
767	C₂×D₄	—	13	2	no	—
768	C₂×D₄	—	26	2	no	—
769	C₂×D₄	—	26	2	no	—
770	C₂×D₄	—	26	2	no	—
771	C₂×D₄	—	26	2	no	—
772	C₂×D₄	—	26	4	no	—
773	C₂×D₄	—	26	4	no	—
774	C₂×D₄	—	26	4	no	—
775	C₂×D₄	—	26	4	no	—
776	C₂×D₄	—	26	2	no	—
777	C₂×D₄	—	26	2	no	—
778	C₂×D₄	C₂×C₄×D₁₃	1	2	yes	—
779	C₂²×C₄	—	2	2	no	—
780	C₂²×C₄	—	13	1	no	—
781	C₂²×C₄	—	13	1	no	—
782	C₂²×C₄	—	13	1	no	—
783	C₂²×C₄	—	13	1	no	—
784	C₂²×C₄	—	13	1	no	—
785	C₂²×C₄	—	13	1	no	—
786	C₂²×C₄	—	13	1	no	—
787	C₂²×C₄	—	13	1	no	—
788	C₂²×C₄	—	13	1	no	—
789	C₂²×C₄	—	13	1	no	—
790	C₂²×C₄	—	13	1	no	—
791	C₂²×C₄	—	13	1	no	—
792	C₂²×C₄	—	13	1	no	—
793	C₂²×C₄	—	26	4	no	—
794	C₂²×C₄	—	26	4	no	—
795	C₂²×C₄	—	26	2	no	—
796	C₂²×C₄	—	26	4	no	—
797	C₂²×C₄	—	26	4	no	—
798	C₂²×C₄	—	26	2	no	—
799	C₂²×C₄	—	26	2	no	—
800	C₂²×C₄	—	26	2	no	—
801	C₂²×C₄	—	26	2	no	—
802	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
803	Q₁₆	—	13	4	no	—
804	Q₁₆	—	13	4	no	—
805	Q₁₆	—	13	2	no	—
806	Q₁₆	—	13	2	no	—
807	Q₁₆	C₂×C₄×D₁₃	1	2	yes	—
808	Q₁₆	C₂×C₄×D₁₃	1	2	yes	—
809	SD₁₆	—	13	4	no	—
810	SD₁₆	—	13	4	no	—
811	SD₁₆	—	13	4	no	—
812	SD₁₆	—	13	4	no	—
813	SD₁₆	—	13	4	no	—
814	SD₁₆	—	13	4	no	—
815	SD₁₆	C₂×C₄×D₁₃	1	4	yes	—
816	SD₁₆	C₂×C₄×D₁₃	1	4	yes	—
817	D₈	—	13	4	no	—
818	D₈	—	13	4	no	—
819	D₈	—	13	2	no	—
820	D₈	—	13	2	no	—
821	D₈	C₂×C₄×D₁₃	1	2	yes	—
822	D₈	C₂×C₄×D₁₃	1	2	yes	—
823	M₁₆	—	2	2	no	—
824	M₁₆	—	2	8	no	—
825	M₁₆	—	13	2	no	—
826	M₁₆	—	13	2	no	—
827	M₁₆	—	13	4	no	—
828	M₁₆	—	13	4	no	—
829	M₁₆	—	13	4	no	—
830	M₁₆	—	26	8	no	—
831	M₁₆	—	26	4	no	—
832	M₁₆	—	26	4	no	—
833	M₁₆	—	26	8	no	—
834	M₁₆	—	26	2	no	—
835	M₁₆	—	26	8	no	—
836	M₁₆	D₄×D₁₃	1	2	yes	—
837	M₁₆	D₄×D₁₃	1	2	yes	—
838	M₁₆	C₂³×D₁₃	1	4	yes	—
839	C₂×C₈	—	2	2	no	—
840	C₂×C₈	—	2	8	no	—
841	C₂×C₈	—	13	1	no	—
842	C₂×C₈	—	13	1	no	—
843	C₂×C₈	—	13	1	no	—
844	C₂×C₈	—	13	1	no	—
845	C₂×C₈	—	13	1	no	—
846	C₂×C₈	—	13	2	no	—
847	C₂×C₈	—	13	1	no	—
848	C₂×C₈	—	13	1	no	—
849	C₂×C₈	—	13	1	no	—
850	C₂×C₈	—	13	1	no	—
851	C₂×C₈	—	13	1	no	—
852	C₂×C₈	—	13	1	no	—
853	C₂×C₈	—	13	1	no	—
854	C₂×C₈	—	13	1	no	—
855	C₂×C₈	—	13	1	no	—
856	C₂×C₈	—	13	1	no	—
857	C₂×C₈	—	13	1	no	—
858	C₂×C₈	—	13	1	no	—
859	C₂×C₈	—	13	1	no	—
860	C₂×C₈	—	13	1	no	—
861	C₂×C₈	—	13	1	no	—
862	C₂×C₈	—	13	1	no	—
863	C₂×C₈	—	13	1	no	—
864	C₂×C₈	—	13	4	no	—
865	C₂×C₈	—	13	4	no	—
866	C₂×C₈	—	26	8	no	—
867	C₂×C₈	—	26	4	no	—
868	C₂×C₈	—	26	4	no	—
869	C₂×C₈	—	26	8	no	—
870	C₂×C₈	—	26	2	no	—
871	C₂×C₈	—	26	8	no	—
872	C₂×C₈	C₂×C₄×D₁₃	1	1	yes	characteristic
873	C₂×C₈	C₂×C₄×D₁₃	1	1	yes	characteristic
874	C₂×C₈	C₂×C₄×D₁₃	1	1	yes	characteristic
875	C₂×C₈	C₂×C₄×D₁₃	1	1	yes	characteristic
876	C₂×C₈	C₂³×D₁₃	1	1	yes	characteristic
877	C₂×C₈	C₂³×D₁₃	1	1	yes	characteristic
878	C₂×C₈	C₂³×D₁₃	1	2	yes	—
879	C₄⋊C₄	—	2	1	no	—
880	C₄⋊C₄	—	26	2	no	—
881	C₄⋊C₄	—	26	1	no	—
882	C₂²⋊C₄	—	2	1	no	—
883	C₂²⋊C₄	—	26	2	no	—
884	C₂²⋊C₄	—	26	1	no	—
885	C₄²	—	13	2	no	—
886	C₄²	—	26	2	no	—
887	C₄²	C₂³×D₁₃	1	2	yes	—
888	C₁₃	C₂×#2957	1	1	yes	characteristic, complemented, Sylow
889	C₂³	—	2	2	no	—
890	C₂³	—	13	1	no	—
891	C₂³	—	13	1	no	—
892	C₂³	—	13	1	no	—
893	C₂³	—	13	1	no	—
894	C₂³	—	13	1	no	—
895	C₂³	—	13	1	no	—
896	C₂³	—	26	4	no	—
897	C₂³	—	26	4	no	—
898	C₂³	—	26	2	no	—
899	C₂³	—	52	2	no	—
900	C₂³	—	104	4	no	—
901	C₂³	#41×D₁₃	1	1	yes	characteristic
902	Q₈	—	2	2	no	—
903	Q₈	—	13	4	no	—
904	Q₈	—	26	4	no	—
905	Q₈	—	26	4	no	—
906	Q₈	—	26	2	no	—
907	Q₈	C₂²×C₄×D₁₃	1	4	yes	—
908	D₄	—	2	4	no	—
909	D₄	—	2	4	no	—
910	D₄	—	2	2	no	—
911	D₄	—	13	4	no	—
912	D₄	—	26	4	no	—
913	D₄	—	26	4	no	—
914	D₄	—	26	4	no	—
915	D₄	—	26	4	no	—
916	D₄	—	26	4	no	—
917	D₄	—	26	4	no	—
918	D₄	—	26	4	no	—
919	D₄	—	26	4	no	—
920	D₄	—	26	2	no	—
921	D₄	C₂²×C₄×D₁₃	1	4	yes	—
922	C₂×C₄	—	2	2	no	—
923	C₂×C₄	—	2	4	no	—
924	C₂×C₄	—	2	4	no	—
925	C₂×C₄	—	2	2	no	—
926	C₂×C₄	—	13	1	no	—
927	C₂×C₄	—	13	1	no	—
928	C₂×C₄	—	13	1	no	—
929	C₂×C₄	—	13	1	no	—
930	C₂×C₄	—	13	1	no	—
931	C₂×C₄	—	13	1	no	—
932	C₂×C₄	—	13	1	no	—
933	C₂×C₄	—	13	1	no	—
934	C₂×C₄	—	13	1	no	—
935	C₂×C₄	—	13	1	no	—
936	C₂×C₄	—	13	1	no	—
937	C₂×C₄	—	13	1	no	—
938	C₂×C₄	—	13	1	no	—
939	C₂×C₄	—	13	1	no	—
940	C₂×C₄	—	13	1	no	—
941	C₂×C₄	—	13	1	no	—
942	C₂×C₄	—	13	1	no	—
943	C₂×C₄	—	13	1	no	—
944	C₂×C₄	—	13	1	no	—
945	C₂×C₄	—	13	1	no	—
946	C₂×C₄	—	13	1	no	—
947	C₂×C₄	—	13	1	no	—
948	C₂×C₄	—	26	4	no	—
949	C₂×C₄	—	26	4	no	—
950	C₂×C₄	—	26	4	no	—
951	C₂×C₄	—	26	4	no	—
952	C₂×C₄	—	26	4	no	—
953	C₂×C₄	—	26	4	no	—
954	C₂×C₄	—	26	2	no	—
955	C₂×C₄	—	26	4	no	—
956	C₂×C₄	—	26	4	no	—
957	C₂×C₄	—	26	2	no	—
958	C₂×C₄	—	52	4	no	—
959	C₂×C₄	C₂²×C₄×D₁₃	1	1	yes	characteristic
960	C₂×C₄	C₂²×C₄×D₁₃	1	1	yes	characteristic
961	C₂×C₄	C₂×D₄×D₁₃	1	1	yes	characteristic
962	C₂×C₄	C₂×D₄×D₁₃	1	1	yes	characteristic
963	C₂×C₄	#41×D₁₃	1	1	yes	characteristic
964	C₂×C₄	C₂⁴×D₁₃	1	1	yes	characteristic
965	C₈	—	2	4	no	—
966	C₈	—	13	1	no	—
967	C₈	—	13	1	no	—
968	C₈	—	13	1	no	—
969	C₈	—	13	1	no	—
970	C₈	—	13	4	no	—
971	C₈	—	26	4	no	—
972	C₈	C₂²×C₄×D₁₃	1	1	yes	characteristic
973	C₈	C₂²×C₄×D₁₃	1	1	yes	characteristic
974	C₈	C₂²×C₄×D₁₃	1	1	yes	characteristic
975	C₈	C₂²×C₄×D₁₃	1	1	yes	characteristic
976	C₈	C₂×D₄×D₁₃	1	4	yes	—
977	C₂²	—	2	4	no	—
978	C₂²	—	4	1	no	—
979	C₂²	—	8	2	no	—
980	C₂²	—	13	1	no	—
981	C₂²	—	13	1	no	—
982	C₂²	—	13	1	no	—
983	C₂²	—	13	1	no	—
984	C₂²	—	26	2	no	—
985	C₂²	—	26	2	no	—
986	C₂²	—	26	2	no	—
987	C₂²	—	26	4	no	—
988	C₂²	—	52	1	no	—
989	C₂²	—	52	1	no	—
990	C₂²	—	52	1	no	—
991	C₂²	—	52	8	no	—
992	C₂²	—	104	2	no	—
993	C₂²	—	104	4	no	—
994	C₂²	C₄×D₄×D₁₃	1	1	yes	characteristic
995	C₂²	C₄×D₄×D₁₃	1	1	yes	characteristic
996	C₂²	C₂×#41×D₁₃	1	1	yes	characteristic
997	C₄	—	2	4	no	—
998	C₄	—	4	2	no	—
999	C₄	—	13	1	no	—
1000	C₄	—	13	1	no	—
1001	C₄	—	13	1	no	—
1002	C₄	—	13	1	no	—
1003	C₄	—	26	4	no	—
1004	C₄	—	52	2	no	—
1005	C₄	C₄×D₄×D₁₃	1	1	yes	characteristic
1006	C₄	C₄×D₄×D₁₃	1	1	yes	characteristic
1007	C₄	C₂³×C₄×D₁₃	1	1	yes	characteristic
1008	C₄	C₂²×D₄×D₁₃	1	1	yes	characteristic
1009	C₂	—	2	1	no	—
1010	C₂	—	2	1	no	—
1011	C₂	—	2	1	no	—
1012	C₂	—	4	4	no	—
1013	C₂	—	13	2	no	—
1014	C₂	—	26	1	no	—
1015	C₂	—	26	1	no	—
1016	C₂	—	26	1	no	—
1017	C₂	—	52	4	no	—
1018	C₂	C₂×C₄×D₄×D₁₃	1	1	yes	characteristic

	subgroup	G/H
center	C₄	C₂²×D₄×D₁₃
commutator	C₄×C₁₃	C₂⁴×C₄
Frattini	C₂×C₄	C₂⁴×D₁₃
Fitting	C₁₃×#2957	C₂
socle	C₂×C₁₃	C₂²×C₄×D₄
prime radical	C₂×D₁₃×#135	C₂
cosocle	C₂×C₄×C₁₃	C₂⁵
hypercenter	#2957	D₁₃
hypocenter	C₁₃	C₂×#2957
LCS	G ▷ C₄×C₁₃ ▷ C₂×C₁₃ ▷ C₁₃
UCS	C₁ ◁ C₄ ◁ C₂×M₁₆ ◁ #2957

Complements

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

N	H ≅ G/N	type
2. D₁₃×#568	C₂	semidirect
3. #13123754	C₂	semidirect
4. #13123753	C₂	semidirect
5. #13123752	C₂	semidirect
6. #13123751	C₂	semidirect
7. #13123750	C₂	semidirect
8. #13123749	C₂	semidirect
9. #13123748	C₂	semidirect
10. D₁₃×#444	C₂	semidirect
11. D₁₃×#443	C₂	semidirect
12. C₂×D₁₃×#108	C₂	semidirect
13. D₁₃×#421	C₂	semidirect
14. D₁₃×#405	C₂	semidirect
15. C₁₃×#2957	C₂	semidirect
18. C₁₃×#568	C₂²	semidirect
20. #11719524	C₂²	semidirect
21. D₁₃×#135	C₄	semidirect
22. D₁₃×#135	C₄	semidirect
23. D₁₃×#135	C₄	semidirect
24. D₁₃×#135	C₄	semidirect
29. C₂×#88173	C₄	semidirect
30. C₂×Q₁₆×D₁₃	C₄	semidirect
31. C₂×#88170	C₄	semidirect
32. C₂×SD₁₆×D₁₃	C₄	semidirect
33. C₂×#88166	C₄	semidirect
34. C₂×D₈×D₁₃	C₄	semidirect
36. #11719455	C₂²	semidirect
38. D₁₃×#131	C₂²	semidirect
40. #11719450	C₂²	semidirect
41. #11719450	C₂²	semidirect
48. C₁₃×#444	C₂²	semidirect
49. C₁₃×#443	C₂²	semidirect
50. C₂×C₁₃×#108	C₂²	semidirect
51. C₁₃×#421	C₂²	semidirect
52. C₁₃×#405	C₂²	semidirect
53. #11718897	C₂²	semidirect
54. #11718858	C₂²	semidirect
55. #11718857	C₂²	semidirect
56. #11718806	C₂²	semidirect
57. #11718805	C₂²	semidirect
58. #11718800	C₂²	semidirect
59. C₂×#88062	C₂²	semidirect
60. #11718783	C₂²	semidirect
61. C₂×#88059	C₂²	semidirect
62. #11718762	C₂²	semidirect
63. #11718666	C₂²	semidirect
64. #11718658	C₂²	semidirect
65. #11718556	C₂²	semidirect
66. #11718555	C₂²	semidirect
67. D₁₃×#108	C₂²	semidirect
68. D₁₃×#108	C₂²	semidirect
69. D₁₃×#108	C₂²	semidirect
70. D₁₃×#108	C₂²	semidirect
71. #11718485	C₂²	semidirect
72. #11718484	C₂²	semidirect
73. #11718482	C₂²	semidirect
74. D₁₃×#104	C₂²	semidirect
75. #11718378	C₂²	semidirect
76. #11718369	C₂²	semidirect
77. D₁₃×#97	C₂²	semidirect
78. #11718361	C₂²	semidirect
79. #11718350	C₂²	semidirect
80. C₄×C₈×D₁₃	C₂²	semidirect
100. C₁₃×#135	C₂×C₄	semidirect
101. C₁₃×#135	C₂×C₄	semidirect
104. C₂×C₁₃×Q₁₆	C₂×C₄	semidirect
105. C₂×C₁₃×SD₁₆	C₂×C₄	semidirect
106. C₂×C₁₃×D₈	C₂×C₄	semidirect
108. C₁₃×#131	C₂³	semidirect
114. #88204	C₂×C₄	semidirect
115. #88204	C₂×C₄	semidirect
119. #88202	C₂³	semidirect
120. C₂×#6107	C₂×C₄	semidirect
121. C₂×#6106	C₂×C₄	semidirect
122. C₂×#6105	C₂×C₄	semidirect
123. C₂×#6104	C₂×C₄	semidirect
131. #88173	C₂×C₄	semidirect
132. #88173	C₂×C₄	semidirect
135. Q₁₆×D₁₃	C₂×C₄	semidirect
136. Q₁₆×D₁₃	C₂×C₄	semidirect
139. #88170	C₂×C₄	semidirect
140. #88170	C₂×C₄	semidirect
143. SD₁₆×D₁₃	C₂×C₄	semidirect
144. SD₁₆×D₁₃	C₂×C₄	semidirect
147. #88166	C₂×C₄	semidirect
148. #88166	C₂×C₄	semidirect
151. D₈×D₁₃	C₂×C₄	semidirect
152. D₈×D₁₃	C₂×C₄	semidirect
156. #88161	C₂³	semidirect
169. C₂×Dic₅₂	C₂×C₄	semidirect
170. #88158	C₂×C₄	semidirect
171. #88158	C₂×C₄	semidirect
174. C₂×D₁₀₄	C₂×C₄	semidirect
175. C₂×#6095	C₂×C₄	semidirect
179. #88155	C₂³	semidirect
204. C₁₃×#108	C₂³	semidirect
205. C₁₃×#108	C₂³	semidirect
206. C₁₃×#104	C₂³	semidirect
207. C₁₃×#97	C₂³	semidirect
208. C₄×C₈×C₁₃	C₂³	semidirect
209. #88077	C₂³	semidirect
210. #88065	C₂³	semidirect
211. #88062	C₂³	semidirect
212. #88062	C₂³	semidirect
213. #88059	C₂³	semidirect
214. #88059	C₂³	semidirect
215. #88055	C₂³	semidirect
216. #88055	C₂³	semidirect
217. C₈×Dic₁₃	C₂³	semidirect
218. C₈×Dic₁₃	C₂³	semidirect
219. #88045	C₂³	semidirect
220. #88043	C₂³	semidirect
221. C₄×#1055	C₂³	semidirect
389. #2957	D₁₃	direct (N × H)
507. #568	C₂×D₁₃	semidirect
520. #444	C₂×D₁₃	semidirect
526. #443	C₂×D₁₃	semidirect
533. C₂×#108	C₂×D₁₃	semidirect
538. #421	C₂×D₁₃	semidirect
545. #405	C₂×D₁₃	semidirect
619. #135	C₄×D₁₃	semidirect
620. #135	C₄×D₁₃	semidirect
629. C₂×Q₁₆	C₄×D₁₃	semidirect
637. C₂×SD₁₆	C₄×D₁₃	semidirect
644. C₂×D₈	C₄×D₁₃	semidirect
656. #131	C₂²×D₁₃	semidirect
707. #108	C₂²×D₁₃	semidirect
708. #108	C₂²×D₁₃	semidirect
712. #104	C₂²×D₁₃	semidirect
716. #97	C₂²×D₁₃	semidirect
720. C₄×C₈	C₂²×D₁₃	semidirect
730. D₁₃	#2957	direct (N × H)
888. C₁₃	C₂×#2957	semidirect

Maximal subgroups

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

subgroup	index
C₂×D₁₃×#135	2
D₁₃×#568	2
#13123754	2
#13123753	2
#13123752	2
#13123751	2
#13123750	2
#13123749	2
#13123748	2
D₁₃×#444	2
D₁₃×#443	2
C₂×D₁₃×#108	2
D₁₃×#421	2
D₁₃×#405	2
C₁₃×#2957	2
C₂×#2957	13

Subgroups — D13×#2957 #16727234

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — D₁₃×#2957 #16727234