Subgroups — D₁₃×#2462 #16030903

Order 3328.

2486 conjugacy classes of subgroups.

The subgroup lattice has 1444 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×D₁₃×#125	C₂	1	1	yes	maximal, characteristic
2	C₂×C₄×Q₈×D₁₃	C₂	1	1	yes	maximal, characteristic
3	#13118825	C₂	1	1	yes	maximal, characteristic, complemented
4	#13118824	C₂	1	1	yes	maximal, characteristic, complemented
5	#13118823	C₂	1	1	yes	maximal, characteristic, complemented
6	#13118822	C₂	1	1	yes	maximal, characteristic, complemented
7	#13118821	C₂	1	1	yes	maximal, characteristic, complemented
8	#13118820	C₂	1	1	yes	maximal, characteristic, complemented
9	#13118819	C₂	1	1	yes	maximal, characteristic, complemented
10	#13118818	C₂	1	1	yes	maximal, characteristic, complemented
11	#13118817	C₂	1	1	yes	maximal, characteristic, complemented
12	#13118816	C₂	1	1	yes	maximal, characteristic, complemented
13	#13118815	C₂	1	1	yes	maximal, characteristic, complemented
14	#13118814	C₂	1	1	yes	maximal, characteristic, complemented
15	#13118813	C₂	1	1	yes	maximal, characteristic, complemented
16	#13118812	C₂	1	1	yes	maximal, characteristic, complemented
17	#13118811	C₂	1	1	yes	maximal, characteristic, complemented
18	D₁₃×#398	C₂	1	1	yes	maximal, characteristic
19	D₁₃×#398	C₂	1	1	yes	maximal, characteristic
20	D₁₃×#395	C₂	1	1	yes	maximal, characteristic
21	D₁₃×#395	C₂	1	1	yes	maximal, characteristic
22	D₁₃×#389	C₂	1	1	yes	maximal, characteristic
23	D₁₃×#389	C₂	1	1	yes	maximal, characteristic
24	D₁₃×#387	C₂	1	1	yes	maximal, characteristic
25	D₁₃×#387	C₂	1	1	yes	maximal, characteristic
26	D₁₃×#387	C₂	1	1	yes	maximal, characteristic
27	D₁₃×#387	C₂	1	1	yes	maximal, characteristic
28	D₁₃×#387	C₂	1	1	yes	maximal, characteristic
29	D₁₃×#387	C₂	1	1	yes	maximal, characteristic
30	C₄×C₄⋊C₄×D₁₃	C₂	1	1	yes	maximal, characteristic
31	C₁₃×#2462	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂²×Q₈×D₁₃	C₂²	1	1	yes	characteristic
33	C₂×C₁₃×#125	C₂²	1	1	yes	characteristic
34	C₂×C₄×Q₈×C₁₃	C₂²	1	1	yes	characteristic
35	C₂×Q₈×Dic₁₃	C₂²	1	1	yes	characteristic
36	D₁₃×#125	—	2	8	no	—
37	C₄×Q₈×D₁₃	—	2	8	no	—
38	C₂×C₄⋊C₄×D₁₃	C₂²	1	1	yes	characteristic
39	C₂×C₄⋊C₄×D₁₃	C₂²	1	1	yes	characteristic
40	C₂×C₄⋊C₄×D₁₃	C₂²	1	1	yes	characteristic
41	C₂×C₄⋊C₄×D₁₃	C₂²	1	1	yes	characteristic
42	C₂×C₄⋊C₄×D₁₃	C₂²	1	1	yes	characteristic
43	C₂×C₄⋊C₄×D₁₃	C₂²	1	1	yes	characteristic
44	C₂×C₄⋊C₄×D₁₃	C₂²	1	1	yes	characteristic
45	C₂×C₄⋊C₄×D₁₃	C₂²	1	1	yes	characteristic
46	C₂×C₄⋊C₄×D₁₃	C₂²	1	1	yes	characteristic
47	C₂×C₄⋊C₄×D₁₃	C₂²	1	1	yes	characteristic
48	C₂×C₄⋊C₄×D₁₃	C₂²	1	1	yes	characteristic
49	C₂×C₄⋊C₄×D₁₃	C₂²	1	1	yes	characteristic
50	C₂×C₄⋊C₄×D₁₃	C₂²	1	1	yes	characteristic
51	C₂×C₄⋊C₄×D₁₃	C₂²	1	1	yes	characteristic
52	C₂×C₄⋊C₄×D₁₃	C₂²	1	1	yes	characteristic
53	C₂×#88144	C₂²	1	1	yes	characteristic
54	C₂×#88144	C₂²	1	1	yes	characteristic
55	C₂×#88143	C₂²	1	1	yes	characteristic
56	C₂×#88143	C₂²	1	1	yes	characteristic
57	C₂×#88143	C₂²	1	1	yes	characteristic
58	C₂×#88143	C₂²	1	1	yes	characteristic
59	C₂×#88141	C₂²	1	1	yes	characteristic
60	C₂×#88141	C₂²	1	1	yes	characteristic
61	C₂×#88141	C₂²	1	1	yes	characteristic
62	C₂×C₄²×D₁₃	C₂²	1	1	yes	characteristic
63	C₂×C₄²×D₁₃	C₂²	1	1	yes	characteristic
64	C₂×C₄²×D₁₃	C₂²	1	1	yes	characteristic
65	C₂×C₄²×D₁₃	C₂²	1	1	yes	characteristic
66	C₂×C₄²×D₁₃	C₂²	1	1	yes	characteristic
67	C₂×#88124	C₂²	1	1	yes	characteristic
68	C₂×C₄×Dic₂₆	C₂²	1	1	yes	characteristic
69	C₂×C₄×Dic₂₆	C₂²	1	1	yes	characteristic
70	C₂×C₄×Dic₂₆	C₂²	1	1	yes	characteristic
71	C₁₃×#398	C₂²	1	1	yes	characteristic
72	C₁₃×#398	C₂²	1	1	yes	characteristic
73	C₁₃×#395	C₂²	1	1	yes	characteristic
74	C₁₃×#395	C₂²	1	1	yes	characteristic
75	C₁₃×#389	C₂²	1	1	yes	characteristic
76	C₁₃×#389	C₂²	1	1	yes	characteristic
77	C₁₃×#387	C₂²	1	1	yes	characteristic
78	C₁₃×#387	C₂²	1	1	yes	characteristic
79	C₁₃×#387	C₂²	1	1	yes	characteristic
80	C₁₃×#387	C₂²	1	1	yes	characteristic
81	C₁₃×#387	C₂²	1	1	yes	characteristic
82	C₁₃×#387	C₂²	1	1	yes	characteristic
83	C₄×C₁₃×C₄⋊C₄	C₂²	1	1	yes	characteristic
84	#11718890	C₂²	1	1	yes	characteristic
85	#11718890	C₂²	1	1	yes	characteristic
86	#11718646	C₂²	1	1	yes	characteristic
87	#11718646	C₂²	1	1	yes	characteristic
88	#11718645	C₂²	1	1	yes	characteristic
89	#11718645	C₂²	1	1	yes	characteristic
90	#11718645	C₂²	1	1	yes	characteristic
91	#11718645	C₂²	1	1	yes	characteristic
92	#11718644	C₂²	1	1	yes	characteristic
93	#11718644	C₂²	1	1	yes	characteristic
94	#11718642	C₂²	1	1	yes	characteristic
95	#11718642	C₂²	1	1	yes	characteristic
96	#11718642	C₂²	1	1	yes	characteristic
97	#11718642	C₂²	1	1	yes	characteristic
98	#11718642	C₂²	1	1	yes	characteristic
99	#11718642	C₂²	1	1	yes	characteristic
100	#11718641	C₂²	1	1	yes	characteristic
101	#11718641	C₂²	1	1	yes	characteristic
102	#11718640	C₂²	1	1	yes	characteristic
103	#11718640	C₂²	1	1	yes	characteristic
104	#11718640	C₂²	1	1	yes	characteristic
105	#11718640	C₂²	1	1	yes	characteristic
106	#11718640	C₂²	1	1	yes	characteristic
107	#11718640	C₂²	1	1	yes	characteristic
108	#11718639	C₂²	1	1	yes	characteristic
109	#11718639	C₂²	1	1	yes	characteristic
110	#11718639	C₂²	1	1	yes	characteristic
111	#11718639	C₂²	1	1	yes	characteristic
112	#11718639	C₂²	1	1	yes	characteristic
113	#11718639	C₂²	1	1	yes	characteristic
114	C₄⋊C₄×Dic₁₃	C₂²	1	1	yes	characteristic
115	C₄⋊C₄×Dic₁₃	C₂²	1	1	yes	characteristic
116	#11718634	C₂²	1	1	yes	characteristic
117	#11718634	C₂²	1	1	yes	characteristic
118	#11718633	C₂²	1	1	yes	characteristic
119	#11718633	C₂²	1	1	yes	characteristic
120	#11718633	C₂²	1	1	yes	characteristic
121	#11718633	C₂²	1	1	yes	characteristic
122	C₄×C₄⋊Dic₁₃	C₂²	1	1	yes	characteristic
123	#11718594	C₂²	1	1	yes	characteristic
124	#11718594	C₂²	1	1	yes	characteristic
125	#11718594	C₂²	1	1	yes	characteristic
126	#11718594	C₂²	1	1	yes	characteristic
127	#11718594	C₂²	1	1	yes	characteristic
128	#11718594	C₂²	1	1	yes	characteristic
129	C₄×#6101	C₂²	1	1	yes	characteristic
130	C₄×#6101	C₂²	1	1	yes	characteristic
131	#11718589	C₂²	1	1	yes	characteristic
132	#11718589	C₂²	1	1	yes	characteristic
133	D₁₃×#95	C₂²	1	1	yes	characteristic
134	D₁₃×#95	C₂²	1	1	yes	characteristic
135	D₁₃×#95	C₂²	1	1	yes	characteristic
136	D₁₃×#95	C₂²	1	1	yes	characteristic
137	D₁₃×#95	C₂²	1	1	yes	characteristic
138	D₁₃×#95	C₂²	1	1	yes	characteristic
139	D₁₃×#95	C₂²	1	1	yes	characteristic
140	D₁₃×#95	C₂²	1	1	yes	characteristic
141	D₁₃×#95	C₂²	1	1	yes	characteristic
142	D₁₃×#95	C₂²	1	1	yes	characteristic
143	D₁₃×#95	C₂²	1	1	yes	characteristic
144	D₁₃×#95	C₂²	1	1	yes	characteristic
145	D₁₃×#95	C₂²	1	1	yes	characteristic
146	D₁₃×#95	C₂²	1	1	yes	characteristic
147	#11718322	C₂²	1	1	yes	characteristic
148	#11718322	C₂²	1	1	yes	characteristic
149	#11718318	C₂²	1	1	yes	characteristic
150	#11718318	C₂²	1	1	yes	characteristic
151	#11718318	C₂²	1	1	yes	characteristic
152	#11718318	C₂²	1	1	yes	characteristic
153	#11718317	C₂²	1	1	yes	characteristic
154	#11718317	C₂²	1	1	yes	characteristic
155	#11718317	C₂²	1	1	yes	characteristic
156	#11718317	C₂²	1	1	yes	characteristic
157	#11718317	C₂²	1	1	yes	characteristic
158	#11718317	C₂²	1	1	yes	characteristic
159	#11718316	C₂²	1	1	yes	characteristic
160	#11718316	C₂²	1	1	yes	characteristic
161	#11718316	C₂²	1	1	yes	characteristic
162	#11718316	C₂²	1	1	yes	characteristic
163	#11718316	C₂²	1	1	yes	characteristic
164	#11718316	C₂²	1	1	yes	characteristic
165	#11718315	C₂²	1	1	yes	characteristic
166	#11718315	C₂²	1	1	yes	characteristic
167	#11718315	C₂²	1	1	yes	characteristic
168	#11718315	C₂²	1	1	yes	characteristic
169	#11718315	C₂²	1	1	yes	characteristic
170	#11718315	C₂²	1	1	yes	characteristic
171	#11718314	C₂²	1	1	yes	characteristic
172	#11718314	C₂²	1	1	yes	characteristic
173	#11718314	C₂²	1	1	yes	characteristic
174	#11718314	C₂²	1	1	yes	characteristic
175	#11718314	C₂²	1	1	yes	characteristic
176	#11718314	C₂²	1	1	yes	characteristic
177	#11718313	C₂²	1	1	yes	characteristic
178	#11718313	C₂²	1	1	yes	characteristic
179	#11718313	C₂²	1	1	yes	characteristic
180	#11718313	C₂²	1	1	yes	characteristic
181	#11718313	C₂²	1	1	yes	characteristic
182	#11718313	C₂²	1	1	yes	characteristic
183	#11718310	C₂²	1	1	yes	characteristic
184	#11718310	C₂²	1	1	yes	characteristic
185	#11718308	C₂²	1	1	yes	characteristic
186	#11718308	C₂²	1	1	yes	characteristic
187	#11718308	C₂²	1	1	yes	characteristic
188	#11718308	C₂²	1	1	yes	characteristic
189	C₂²×Q₈×C₁₃	C₂³	1	1	yes	characteristic
190	C₂×Q₈×D₁₃	—	2	4	no	—
191	C₂×Q₈×D₁₃	—	2	4	no	—
192	C₂×Q₈×D₁₃	—	2	4	no	—
193	C₂²×C₄×D₁₃	C₂³	1	1	yes	characteristic
194	C₂²×C₄×D₁₃	C₂³	1	1	yes	characteristic
195	C₂²×C₄×D₁₃	C₂³	1	1	yes	characteristic
196	C₂²×C₄×D₁₃	C₂³	1	1	yes	characteristic
197	C₂²×C₄×D₁₃	C₂³	1	1	yes	characteristic
198	C₂²×C₄×D₁₃	C₂³	1	1	yes	characteristic
199	C₂²×C₄×D₁₃	C₂³	1	1	yes	characteristic
200	C₂²×C₄×D₁₃	C₂³	1	1	yes	characteristic
201	C₂²×C₄×D₁₃	C₂³	1	1	yes	characteristic
202	C₂²×C₄×D₁₃	C₂³	1	1	yes	characteristic
203	C₂²×C₄×D₁₃	C₂³	1	1	yes	characteristic
204	C₂²×C₄×D₁₃	C₂³	1	1	yes	characteristic
205	C₂²×C₄×D₁₃	C₂³	1	1	yes	characteristic
206	C₂²×C₄×D₁₃	C₂³	1	1	yes	characteristic
207	C₂²×C₄×D₁₃	C₂³	1	1	yes	characteristic
208	C₂²×Dic₂₆	C₂³	1	1	yes	characteristic
209	C₂²×Dic₂₆	C₂³	1	1	yes	characteristic
210	C₂²×Dic₂₆	C₂³	1	1	yes	characteristic
211	C₁₃×#125	—	2	4	no	—
212	C₄×Q₈×C₁₃	—	2	4	no	—
213	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
214	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
215	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
216	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
217	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
218	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
219	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
220	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
221	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
222	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
223	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
224	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
225	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
226	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
227	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
228	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
229	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
230	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
231	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
232	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
233	Q₈×Dic₁₃	—	2	4	no	—
234	C₂×C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic
235	C₂×C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic
236	C₂×C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic
237	C₂×C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic
238	C₂×C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic
239	C₂×C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic
240	C₂×C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic
241	C₂×C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic
242	C₂×C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic
243	C₂×C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic
244	C₂×C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic
245	C₂×C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic
246	C₂×C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic
247	C₂×C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic
248	C₂×C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic
249	C₂×#6101	C₂³	1	1	yes	characteristic
250	C₂×#6101	C₂³	1	1	yes	characteristic
251	C₂×#6101	C₂³	1	1	yes	characteristic
252	C₂×#6101	C₂³	1	1	yes	characteristic
253	C₂×#6101	C₂³	1	1	yes	characteristic
254	C₂×#6101	C₂³	1	1	yes	characteristic
255	C₂×#6101	C₂³	1	1	yes	characteristic
256	C₂×#6101	C₂³	1	1	yes	characteristic
257	C₂×#6101	C₂³	1	1	yes	characteristic
258	C₂×#6101	C₂³	1	1	yes	characteristic
259	C₂×#6101	C₂³	1	1	yes	characteristic
260	C₂×#6101	C₂³	1	1	yes	characteristic
261	C₂×#6101	C₂³	1	1	yes	characteristic
262	C₂×#6101	C₂³	1	1	yes	characteristic
263	C₂×#6101	C₂³	1	1	yes	characteristic
264	C₂×#6101	C₂³	1	1	yes	characteristic
265	C₂×#6101	C₂³	1	1	yes	characteristic
266	C₂×#6101	C₂³	1	1	yes	characteristic
267	C₂×#6101	C₂³	1	1	yes	characteristic
268	C₂×#6101	C₂³	1	1	yes	characteristic
269	C₂×#6101	C₂³	1	1	yes	characteristic
270	C₂×#6101	C₂³	1	1	yes	characteristic
271	C₂×#6101	C₂³	1	1	yes	characteristic
272	C₂×#6101	C₂³	1	1	yes	characteristic
273	C₂×#6101	C₂³	1	1	yes	characteristic
274	C₂×#6101	C₂³	1	1	yes	characteristic
275	C₂×#6101	C₂³	1	1	yes	characteristic
276	C₂×#6101	C₂³	1	1	yes	characteristic
277	C₂×#6101	C₂³	1	1	yes	characteristic
278	C₂×#6101	C₂³	1	1	yes	characteristic
279	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
280	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
281	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
282	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
283	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
284	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
285	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
286	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
287	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
288	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
289	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
290	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
291	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
292	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
293	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
294	C₄⋊C₄×D₁₃	—	2	4	no	—
295	C₄⋊C₄×D₁₃	—	2	4	no	—
296	C₄⋊C₄×D₁₃	—	2	4	no	—
297	C₄⋊C₄×D₁₃	—	2	4	no	—
298	C₄⋊C₄×D₁₃	—	2	4	no	—
299	C₄⋊C₄×D₁₃	—	2	4	no	—
300	C₄⋊C₄×D₁₃	—	2	4	no	—
301	C₄⋊C₄×D₁₃	—	2	4	no	—
302	C₄⋊C₄×D₁₃	—	2	4	no	—
303	C₄⋊C₄×D₁₃	—	2	4	no	—
304	C₄⋊C₄×D₁₃	—	2	4	no	—
305	C₄⋊C₄×D₁₃	—	2	4	no	—
306	C₄⋊C₄×D₁₃	—	2	4	no	—
307	C₄⋊C₄×D₁₃	D₄	1	8	yes	—
308	C₄⋊C₄×D₁₃	Q₈	1	8	yes	complemented
309	#88144	—	2	4	no	—
310	#88144	—	2	4	no	—
311	#88143	—	2	4	no	—
312	#88143	—	2	4	no	—
313	#88143	—	2	4	no	—
314	#88143	—	2	4	no	—
315	#88141	—	2	4	no	—
316	#88141	—	2	4	no	—
317	#88141	—	2	4	no	—
318	C₄²×D₁₃	—	2	4	no	—
319	C₄²×D₁₃	—	2	4	no	—
320	C₄²×D₁₃	—	2	4	no	—
321	C₄²×D₁₃	—	2	4	no	—
322	C₄²×D₁₃	—	2	4	no	—
323	#88124	—	2	4	no	—
324	C₄×Dic₂₆	—	2	4	no	—
325	C₄×Dic₂₆	—	2	4	no	—
326	C₄×Dic₂₆	—	2	4	no	—
327	C₁₃×#95	C₂³	1	1	yes	characteristic
328	C₁₃×#95	C₂³	1	1	yes	characteristic
329	C₁₃×#95	C₂³	1	1	yes	characteristic
330	C₁₃×#95	C₂³	1	1	yes	characteristic
331	C₁₃×#95	C₂³	1	1	yes	characteristic
332	C₁₃×#95	C₂³	1	1	yes	characteristic
333	C₁₃×#95	C₂³	1	1	yes	characteristic
334	C₁₃×#95	C₂³	1	1	yes	characteristic
335	C₁₃×#95	C₂³	1	1	yes	characteristic
336	C₁₃×#95	C₂³	1	1	yes	characteristic
337	C₁₃×#95	C₂³	1	1	yes	characteristic
338	C₁₃×#95	C₂³	1	1	yes	characteristic
339	C₁₃×#95	C₂³	1	1	yes	characteristic
340	C₁₃×#95	C₂³	1	1	yes	characteristic
341	#88071	C₂³	1	1	yes	characteristic
342	#88071	C₂³	1	1	yes	characteristic
343	#88071	C₂³	1	1	yes	characteristic
344	#88071	C₂³	1	1	yes	characteristic
345	#88071	C₂³	1	1	yes	characteristic
346	#88071	C₂³	1	1	yes	characteristic
347	#88071	C₂³	1	1	yes	characteristic
348	#88071	C₂³	1	1	yes	characteristic
349	#88071	C₂³	1	1	yes	characteristic
350	#88071	C₂³	1	1	yes	characteristic
351	#88071	C₂³	1	1	yes	characteristic
352	#88071	C₂³	1	1	yes	characteristic
353	#88071	C₂³	1	1	yes	characteristic
354	#88071	C₂³	1	1	yes	characteristic
355	#88071	C₂³	1	1	yes	characteristic
356	#88071	C₂³	1	1	yes	characteristic
357	#88071	C₂³	1	1	yes	characteristic
358	#88071	C₂³	1	1	yes	characteristic
359	#88071	C₂³	1	1	yes	characteristic
360	#88071	C₂³	1	1	yes	characteristic
361	#88071	C₂³	1	1	yes	characteristic
362	#88071	C₂³	1	1	yes	characteristic
363	#88071	C₂³	1	1	yes	characteristic
364	#88071	C₂³	1	1	yes	characteristic
365	#88071	C₂³	1	1	yes	characteristic
366	#88071	C₂³	1	1	yes	characteristic
367	#88071	C₂³	1	1	yes	characteristic
368	#88071	C₂³	1	1	yes	characteristic
369	#88071	C₂³	1	1	yes	characteristic
370	#88071	C₂³	1	1	yes	characteristic
371	#88071	C₂³	1	1	yes	characteristic
372	#88071	C₂³	1	1	yes	characteristic
373	#88071	C₂³	1	1	yes	characteristic
374	#88071	C₂³	1	1	yes	characteristic
375	#88071	C₂³	1	1	yes	characteristic
376	#88071	C₂³	1	1	yes	characteristic
377	#88071	C₂³	1	1	yes	characteristic
378	#88071	C₂³	1	1	yes	characteristic
379	#88071	C₂³	1	1	yes	characteristic
380	#88071	C₂³	1	1	yes	characteristic
381	#88071	C₂³	1	1	yes	characteristic
382	#88071	C₂³	1	1	yes	characteristic
383	C₂×#2462	—	13	1	no	maximal, Sylow
384	C₂³×D₁₃	C₂⁴	1	1	yes	characteristic
385	C₂×Q₈×C₁₃	—	2	2	no	—
386	C₂×Q₈×C₁₃	—	2	2	no	—
387	C₂×Q₈×C₁₃	—	2	2	no	—
388	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
389	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
390	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
391	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
392	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
393	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
394	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
395	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
396	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
397	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
398	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
399	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
400	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
401	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
402	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
403	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
404	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
405	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
406	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
407	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
408	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
409	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
410	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
411	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
412	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
413	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
414	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
415	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
416	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
417	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
418	Q₈×D₁₃	—	2	32	no	—
419	C₂×C₄×D₁₃	—	2	2	no	—
420	C₂×C₄×D₁₃	—	2	2	no	—
421	C₂×C₄×D₁₃	—	2	2	no	—
422	C₂×C₄×D₁₃	—	2	2	no	—
423	C₂×C₄×D₁₃	—	2	2	no	—
424	C₂×C₄×D₁₃	—	2	2	no	—
425	C₂×C₄×D₁₃	—	2	2	no	—
426	C₂×C₄×D₁₃	—	2	2	no	—
427	C₂×C₄×D₁₃	—	2	2	no	—
428	C₂×C₄×D₁₃	—	2	2	no	—
429	C₂×C₄×D₁₃	—	2	2	no	—
430	C₂×C₄×D₁₃	—	2	2	no	—
431	C₂×C₄×D₁₃	—	2	2	no	—
432	C₂×C₄×D₁₃	—	2	2	no	—
433	C₂×C₄×D₁₃	—	2	2	no	—
434	C₂×C₄×D₁₃	—	2	2	no	—
435	C₂×C₄×D₁₃	—	2	2	no	—
436	C₂×C₄×D₁₃	—	2	2	no	—
437	C₂×C₄×D₁₃	—	2	2	no	—
438	C₂×C₄×D₁₃	—	2	2	no	—
439	C₂×C₄×D₁₃	—	2	2	no	—
440	C₂×C₄×D₁₃	—	2	2	no	—
441	C₂×C₄×D₁₃	—	2	2	no	—
442	C₂×C₄×D₁₃	—	2	2	no	—
443	C₂×C₄×D₁₃	—	2	2	no	—
444	C₂×C₄×D₁₃	—	2	2	no	—
445	C₂×C₄×D₁₃	—	2	2	no	—
446	C₂×C₄×D₁₃	—	2	2	no	—
447	C₂×C₄×D₁₃	—	2	2	no	—
448	C₂×C₄×D₁₃	—	2	2	no	—
449	C₂×C₄×D₁₃	—	2	2	no	—
450	C₂×C₄×D₁₃	—	2	2	no	—
451	C₂×C₄×D₁₃	—	2	2	no	—
452	C₂×C₄×D₁₃	—	2	2	no	—
453	C₂×C₄×D₁₃	—	2	2	no	—
454	C₂×C₄×D₁₃	—	2	2	no	—
455	C₂×C₄×D₁₃	C₂×D₄	1	4	yes	—
456	C₂×C₄×D₁₃	C₂×D₄	1	4	yes	—
457	C₂×C₄×D₁₃	C₂×D₄	1	4	yes	—
458	C₂×C₄×D₁₃	C₂×Q₈	1	4	yes	—
459	C₂×C₄×D₁₃	C₂×Q₈	1	4	yes	—
460	C₂×C₄×D₁₃	C₂×Q₈	1	4	yes	—
461	C₂×C₄×D₁₃	#41	1	4	yes	—
462	C₂×C₄×D₁₃	#41	1	4	yes	—
463	C₂×C₄×D₁₃	#41	1	4	yes	—
464	C₂×Dic₂₆	—	2	2	no	—
465	C₂×Dic₂₆	—	2	2	no	—
466	C₂×Dic₂₆	—	2	2	no	—
467	C₂×Dic₂₆	—	2	2	no	—
468	C₂×Dic₂₆	—	2	2	no	—
469	C₂×Dic₂₆	—	2	2	no	—
470	C₂×Dic₂₆	—	2	2	no	—
471	C₂×Dic₂₆	—	2	2	no	—
472	C₂×Dic₂₆	—	2	2	no	—
473	C₁₃×C₄⋊C₄	—	2	2	no	—
474	C₁₃×C₄⋊C₄	—	2	2	no	—
475	C₁₃×C₄⋊C₄	—	2	2	no	—
476	C₁₃×C₄⋊C₄	—	2	2	no	—
477	C₁₃×C₄⋊C₄	—	2	2	no	—
478	C₁₃×C₄⋊C₄	—	2	2	no	—
479	C₁₃×C₄⋊C₄	—	2	2	no	—
480	C₁₃×C₄⋊C₄	—	2	2	no	—
481	C₁₃×C₄⋊C₄	—	2	2	no	—
482	C₁₃×C₄⋊C₄	—	2	2	no	—
483	C₁₃×C₄⋊C₄	—	2	2	no	—
484	C₁₃×C₄⋊C₄	—	2	2	no	—
485	C₁₃×C₄⋊C₄	—	2	2	no	—
486	C₁₃×C₄⋊C₄	C₂×D₄	1	4	yes	—
487	C₁₃×C₄⋊C₄	C₂×Q₈	1	4	yes	complemented
488	C₄²×C₁₃	—	2	2	no	—
489	C₄²×C₁₃	—	2	2	no	—
490	C₄²×C₁₃	—	2	2	no	—
491	C₄²×C₁₃	—	2	2	no	—
492	C₄²×C₁₃	—	2	2	no	—
493	C₄⋊Dic₁₃	—	2	2	no	—
494	C₄⋊Dic₁₃	—	2	2	no	—
495	C₄⋊Dic₁₃	—	2	2	no	—
496	C₄⋊Dic₁₃	—	2	2	no	—
497	C₄⋊Dic₁₃	—	2	2	no	—
498	C₄⋊Dic₁₃	—	2	2	no	—
499	C₄⋊Dic₁₃	—	2	2	no	—
500	C₄⋊Dic₁₃	—	2	2	no	—
501	C₄⋊Dic₁₃	—	2	2	no	—
502	C₄⋊Dic₁₃	—	2	2	no	—
503	C₄⋊Dic₁₃	—	2	2	no	—
504	C₄⋊Dic₁₃	—	2	2	no	—
505	C₄⋊Dic₁₃	—	2	2	no	—
506	C₄⋊Dic₁₃	C₂×D₄	1	4	yes	—
507	C₄⋊Dic₁₃	C₂×Q₈	1	4	yes	complemented
508	#6101	—	2	2	no	—
509	#6101	—	2	2	no	—
510	#6101	—	2	2	no	—
511	#6101	—	2	2	no	—
512	#6101	—	2	2	no	—
513	#6101	—	2	2	no	—
514	#6101	—	2	2	no	—
515	#6101	—	2	2	no	—
516	#6101	—	2	2	no	—
517	#6101	—	2	2	no	—
518	#6101	—	2	2	no	—
519	#6101	—	2	2	no	—
520	#6101	—	2	2	no	—
521	#6101	—	2	2	no	—
522	#6101	—	2	2	no	—
523	#6101	—	2	2	no	—
524	#6101	—	2	2	no	—
525	#6101	—	2	2	no	—
526	#6101	—	2	2	no	—
527	#6101	—	2	2	no	—
528	#6101	—	2	2	no	—
529	#6101	—	2	2	no	—
530	#6101	—	2	2	no	—
531	#6101	—	2	2	no	—
532	#6101	—	2	2	no	—
533	#6101	—	2	2	no	—
534	#6101	C₂×D₄	1	4	yes	—
535	#6101	C₂×D₄	1	4	yes	—
536	#6101	C₂×Q₈	1	4	yes	complemented
537	#6101	C₂×Q₈	1	4	yes	complemented
538	C₄×Dic₁₃	—	2	2	no	—
539	C₄×Dic₁₃	—	2	2	no	—
540	C₄×Dic₁₃	—	2	2	no	—
541	C₄×Dic₁₃	—	2	2	no	—
542	C₄×Dic₁₃	—	2	2	no	—
543	C₄×Dic₁₃	—	2	2	no	—
544	C₄×Dic₁₃	—	2	2	no	—
545	C₄×Dic₁₃	—	2	2	no	—
546	C₄×Dic₁₃	—	2	2	no	—
547	C₄×Dic₁₃	—	2	2	no	—
548	C₄×Dic₁₃	—	2	2	no	—
549	C₄×Dic₁₃	—	2	2	no	—
550	C₄×Dic₁₃	—	2	2	no	—
551	C₄×Dic₁₃	—	2	2	no	—
552	C₄×Dic₁₃	—	2	2	no	—
553	C₂²×#125	—	13	1	no	—
554	C₂²×C₄×Q₈	—	13	1	no	—
555	#2462	—	13	1	no	—
556	#2462	—	13	1	no	—
557	#2462	—	13	1	no	—
558	#2462	—	13	1	no	—
559	#2462	—	13	1	no	—
560	#2462	—	13	1	no	—
561	#2462	—	13	1	no	—
562	#2462	—	13	1	no	—
563	#2462	—	13	1	no	—
564	#2462	—	13	1	no	—
565	#2462	—	13	1	no	—
566	#2462	—	13	1	no	—
567	#2462	—	13	1	no	—
568	#2462	—	13	1	no	—
569	#2462	—	13	1	no	—
570	#2462	D₁₃	1	1	yes	characteristic, direct product factor
571	C₂×#398	—	13	1	no	—
572	C₂×#398	—	13	1	no	—
573	C₂×#395	—	13	1	no	—
574	C₂×#395	—	13	1	no	—
575	C₂×#389	—	13	1	no	—
576	C₂×#389	—	13	1	no	—
577	C₂×#387	—	13	1	no	—
578	C₂×#387	—	13	1	no	—
579	C₂×#387	—	13	1	no	—
580	C₂×#387	—	13	1	no	—
581	C₂×#387	—	13	1	no	—
582	C₂×#387	—	13	1	no	—
583	C₂×C₄×C₄⋊C₄	—	13	1	no	—
584	C₂³×C₁₃	C₂⁵	1	1	yes	characteristic
585	C₂²×D₁₃	C₂²×D₄	1	2	yes	—
586	C₂²×D₁₃	C₂²×Q₈	1	2	yes	—
587	C₂²×D₁₃	C₂×#41	1	2	yes	—
588	C₂²×D₁₃	C₂×#41	1	2	yes	—
589	C₂²×D₁₃	C₂×#41	1	2	yes	—
590	C₂²×D₁₃	2₋¹⁺⁴	1	2	yes	—
591	C₂²×D₁₃	2₋¹⁺⁴	1	2	yes	—
592	Q₈×C₁₃	—	2	8	no	—
593	C₂×C₄×C₁₃	—	2	1	no	—
594	C₂×C₄×C₁₃	—	2	1	no	—
595	C₂×C₄×C₁₃	—	2	1	no	—
596	C₂×C₄×C₁₃	—	2	1	no	—
597	C₂×C₄×C₁₃	—	2	1	no	—
598	C₂×C₄×C₁₃	—	2	1	no	—
599	C₂×C₄×C₁₃	—	2	1	no	—
600	C₂×C₄×C₁₃	—	2	1	no	—
601	C₂×C₄×C₁₃	—	2	1	no	—
602	C₂×C₄×C₁₃	—	2	1	no	—
603	C₂×C₄×C₁₃	—	2	1	no	—
604	C₂×C₄×C₁₃	—	2	1	no	—
605	C₂×C₄×C₁₃	—	2	1	no	—
606	C₂×C₄×C₁₃	—	2	1	no	—
607	C₂×C₄×C₁₃	—	2	1	no	—
608	C₂×C₄×C₁₃	—	2	1	no	—
609	C₂×C₄×C₁₃	—	2	1	no	—
610	C₂×C₄×C₁₃	—	2	1	no	—
611	C₂×C₄×C₁₃	—	2	1	no	—
612	C₂×C₄×C₁₃	—	2	1	no	—
613	C₂×C₄×C₁₃	—	2	1	no	—
614	C₂×C₄×C₁₃	—	2	1	no	—
615	C₂×C₄×C₁₃	—	2	1	no	—
616	C₂×C₄×C₁₃	—	2	1	no	—
617	C₂×C₄×C₁₃	—	2	1	no	—
618	C₂×C₄×C₁₃	—	2	1	no	—
619	C₂×C₄×C₁₃	—	2	1	no	—
620	C₂×C₄×C₁₃	—	2	1	no	—
621	C₂×C₄×C₁₃	—	2	1	no	—
622	C₂×C₄×C₁₃	—	2	1	no	—
623	C₂×C₄×C₁₃	—	2	1	no	—
624	C₂×C₄×C₁₃	—	2	1	no	—
625	C₂×C₄×C₁₃	—	2	1	no	—
626	C₂×C₄×C₁₃	—	2	1	no	—
627	C₂×C₄×C₁₃	—	2	1	no	—
628	C₂×C₄×C₁₃	—	2	1	no	—
629	C₂×C₄×C₁₃	C₂²×D₄	1	2	yes	—
630	C₂×C₄×C₁₃	C₂²×D₄	1	2	yes	—
631	C₂×C₄×C₁₃	C₂²×D₄	1	2	yes	—
632	C₂×C₄×C₁₃	C₂²×Q₈	1	2	yes	—
633	C₂×C₄×C₁₃	C₂²×Q₈	1	2	yes	—
634	C₂×C₄×C₁₃	C₂²×Q₈	1	2	yes	—
635	C₂×C₄×C₁₃	C₂×#41	1	2	yes	—
636	C₂×C₄×C₁₃	C₂×#41	1	2	yes	—
637	C₂×C₄×C₁₃	C₂×#41	1	2	yes	—
638	C₂×Dic₁₃	—	2	1	no	—
639	C₂×Dic₁₃	—	2	1	no	—
640	C₂×Dic₁₃	—	2	1	no	—
641	C₂×Dic₁₃	—	2	1	no	—
642	C₂×Dic₁₃	—	2	1	no	—
643	C₂×Dic₁₃	—	2	1	no	—
644	C₂×Dic₁₃	—	2	1	no	—
645	C₂×Dic₁₃	—	2	1	no	—
646	C₂×Dic₁₃	—	2	1	no	—
647	C₂×Dic₁₃	—	2	1	no	—
648	C₂×Dic₁₃	—	2	1	no	—
649	C₂×Dic₁₃	—	2	1	no	—
650	C₂×Dic₁₃	—	2	1	no	—
651	C₂×Dic₁₃	—	2	1	no	—
652	C₂×Dic₁₃	—	2	1	no	—
653	C₂×Dic₁₃	—	2	1	no	—
654	C₂×Dic₁₃	—	2	1	no	—
655	C₂×Dic₁₃	—	2	1	no	—
656	C₂×Dic₁₃	—	2	1	no	—
657	C₂×Dic₁₃	—	2	1	no	—
658	C₂×Dic₁₃	—	2	1	no	—
659	C₂×Dic₁₃	—	2	1	no	—
660	C₂×Dic₁₃	—	2	1	no	—
661	C₂×Dic₁₃	—	2	1	no	—
662	C₂×Dic₁₃	—	2	1	no	—
663	C₂×Dic₁₃	—	2	1	no	—
664	C₂×Dic₁₃	—	2	1	no	—
665	C₂×Dic₁₃	—	2	1	no	—
666	C₂×Dic₁₃	—	2	1	no	—
667	C₂×Dic₁₃	—	2	1	no	—
668	C₂×Dic₁₃	—	2	1	no	—
669	C₂×Dic₁₃	—	2	1	no	—
670	C₂×Dic₁₃	—	2	1	no	—
671	C₂×Dic₁₃	—	2	1	no	—
672	C₂×Dic₁₃	—	2	1	no	—
673	C₂×Dic₁₃	—	2	1	no	—
674	C₂×Dic₁₃	C₂²×D₄	1	2	yes	—
675	C₂×Dic₁₃	C₂²×D₄	1	2	yes	—
676	C₂×Dic₁₃	C₂²×D₄	1	2	yes	—
677	C₂×Dic₁₃	C₂²×Q₈	1	2	yes	—
678	C₂×Dic₁₃	C₂²×Q₈	1	2	yes	—
679	C₂×Dic₁₃	C₂²×Q₈	1	2	yes	—
680	C₂×Dic₁₃	C₂×#41	1	2	yes	—
681	C₂×Dic₁₃	C₂×#41	1	2	yes	—
682	C₂×Dic₁₃	C₂×#41	1	2	yes	—
683	C₄×D₁₃	—	2	8	no	—
684	C₄×D₁₃	—	2	8	no	—
685	C₄×D₁₃	—	2	8	no	—
686	C₄×D₁₃	—	2	8	no	—
687	C₄×D₁₃	—	2	8	no	—
688	C₄×D₁₃	—	2	8	no	—
689	C₄×D₁₃	—	2	8	no	—
690	C₄×D₁₃	—	2	8	no	—
691	C₄×D₁₃	—	2	8	no	—
692	C₄×D₁₃	—	4	4	no	—
693	C₄×D₁₃	—	4	4	no	—
694	C₄×D₁₃	—	4	4	no	—
695	C₄×D₁₃	—	4	4	no	—
696	C₄×D₁₃	—	4	4	no	—
697	C₄×D₁₃	—	4	4	no	—
698	Dic₂₆	—	2	8	no	—
699	Dic₂₆	—	2	8	no	—
700	Dic₂₆	—	2	8	no	—
701	C₂³×Q₈	—	13	1	no	—
702	C₂×#125	—	13	1	no	—
703	C₂×#125	—	13	1	no	—
704	C₂×#125	—	13	1	no	—
705	C₂×#125	—	13	1	no	—
706	C₂×#125	—	13	1	no	—
707	C₂×#125	—	13	1	no	—
708	C₂×#125	—	13	1	no	—
709	C₂×#125	—	26	8	no	—
710	C₂×#125	C₂×D₁₃	1	1	yes	characteristic
711	C₂×C₄×Q₈	—	13	1	no	—
712	C₂×C₄×Q₈	—	13	1	no	—
713	C₂×C₄×Q₈	—	13	1	no	—
714	C₂×C₄×Q₈	—	13	1	no	—
715	C₂×C₄×Q₈	—	13	1	no	—
716	C₂×C₄×Q₈	—	13	1	no	—
717	C₂×C₄×Q₈	—	13	1	no	—
718	C₂×C₄×Q₈	—	26	8	no	—
719	C₂×C₄×Q₈	C₂×D₁₃	1	1	yes	characteristic
720	C₂²×C₄⋊C₄	—	13	1	no	—
721	C₂²×C₄⋊C₄	—	13	1	no	—
722	C₂²×C₄⋊C₄	—	13	1	no	—
723	C₂²×C₄⋊C₄	—	13	1	no	—
724	C₂²×C₄⋊C₄	—	13	1	no	—
725	C₂²×C₄⋊C₄	—	13	1	no	—
726	C₂²×C₄⋊C₄	—	13	1	no	—
727	C₂²×C₄⋊C₄	—	13	1	no	—
728	C₂²×C₄⋊C₄	—	13	1	no	—
729	C₂²×C₄⋊C₄	—	13	1	no	—
730	C₂²×C₄⋊C₄	—	13	1	no	—
731	C₂²×C₄⋊C₄	—	13	1	no	—
732	C₂²×C₄⋊C₄	—	13	1	no	—
733	C₂²×C₄⋊C₄	—	13	1	no	—
734	C₂²×C₄⋊C₄	—	13	1	no	—
735	C₂²×C₄²	—	13	1	no	—
736	C₂²×C₄²	—	13	1	no	—
737	C₂²×C₄²	—	13	1	no	—
738	C₂²×C₄²	—	13	1	no	—
739	C₂²×C₄²	—	13	1	no	—
740	#398	—	13	1	no	—
741	#398	—	13	1	no	—
742	#398	—	13	1	no	—
743	#398	—	13	1	no	—
744	#398	—	13	1	no	—
745	#398	—	13	1	no	—
746	#398	—	13	1	no	—
747	#398	—	13	1	no	—
748	#398	—	13	1	no	—
749	#398	—	13	1	no	—
750	#398	—	13	1	no	—
751	#398	—	13	1	no	—
752	#398	—	13	1	no	—
753	#398	—	13	1	no	—
754	#398	C₂×D₁₃	1	1	yes	characteristic
755	#398	C₂×D₁₃	1	1	yes	characteristic
756	#395	—	13	1	no	—
757	#395	—	13	1	no	—
758	#395	—	13	1	no	—
759	#395	—	13	1	no	—
760	#395	—	13	1	no	—
761	#395	—	13	1	no	—
762	#395	—	13	1	no	—
763	#395	—	13	1	no	—
764	#395	—	13	1	no	—
765	#395	—	13	1	no	—
766	#395	—	13	1	no	—
767	#395	—	13	1	no	—
768	#395	—	13	1	no	—
769	#395	—	13	1	no	—
770	#395	C₂×D₁₃	1	1	yes	characteristic
771	#395	C₂×D₁₃	1	1	yes	characteristic
772	#389	—	13	1	no	—
773	#389	—	13	1	no	—
774	#389	—	13	1	no	—
775	#389	—	13	1	no	—
776	#389	—	13	1	no	—
777	#389	—	13	1	no	—
778	#389	—	13	1	no	—
779	#389	—	13	1	no	—
780	#389	—	13	1	no	—
781	#389	—	13	1	no	—
782	#389	—	13	1	no	—
783	#389	—	13	1	no	—
784	#389	—	13	1	no	—
785	#389	—	13	1	no	—
786	#389	C₂×D₁₃	1	1	yes	characteristic
787	#389	C₂×D₁₃	1	1	yes	characteristic
788	#387	—	13	1	no	—
789	#387	—	13	1	no	—
790	#387	—	13	1	no	—
791	#387	—	13	1	no	—
792	#387	—	13	1	no	—
793	#387	—	13	1	no	—
794	#387	—	13	1	no	—
795	#387	—	13	1	no	—
796	#387	—	13	1	no	—
797	#387	—	13	1	no	—
798	#387	—	13	1	no	—
799	#387	—	13	1	no	—
800	#387	—	13	1	no	—
801	#387	—	13	1	no	—
802	#387	—	13	1	no	—
803	#387	—	13	1	no	—
804	#387	—	13	1	no	—
805	#387	—	13	1	no	—
806	#387	—	13	1	no	—
807	#387	—	13	1	no	—
808	#387	—	13	1	no	—
809	#387	—	13	1	no	—
810	#387	—	13	1	no	—
811	#387	—	13	1	no	—
812	#387	—	13	1	no	—
813	#387	—	13	1	no	—
814	#387	—	13	1	no	—
815	#387	—	13	1	no	—
816	#387	—	13	1	no	—
817	#387	—	13	1	no	—
818	#387	—	13	1	no	—
819	#387	—	13	1	no	—
820	#387	—	13	1	no	—
821	#387	—	13	1	no	—
822	#387	—	13	1	no	—
823	#387	—	13	1	no	—
824	#387	—	13	1	no	—
825	#387	—	13	1	no	—
826	#387	—	13	1	no	—
827	#387	—	13	1	no	—
828	#387	—	13	1	no	—
829	#387	—	13	1	no	—
830	#387	C₂×D₁₃	1	1	yes	characteristic
831	#387	C₂×D₁₃	1	1	yes	characteristic
832	#387	C₂×D₁₃	1	1	yes	characteristic
833	#387	C₂×D₁₃	1	1	yes	characteristic
834	#387	C₂×D₁₃	1	1	yes	characteristic
835	#387	C₂×D₁₃	1	1	yes	characteristic
836	C₄×C₄⋊C₄	—	13	1	no	—
837	C₄×C₄⋊C₄	—	13	1	no	—
838	C₄×C₄⋊C₄	—	13	1	no	—
839	C₄×C₄⋊C₄	—	13	1	no	—
840	C₄×C₄⋊C₄	—	13	1	no	—
841	C₄×C₄⋊C₄	—	13	1	no	—
842	C₄×C₄⋊C₄	—	13	1	no	—
843	C₄×C₄⋊C₄	C₂×D₁₃	1	1	yes	characteristic
844	C₂×#95	—	13	1	no	—
845	C₂×#95	—	13	1	no	—
846	C₂×#95	—	13	1	no	—
847	C₂×#95	—	13	1	no	—
848	C₂×#95	—	13	1	no	—
849	C₂×#95	—	13	1	no	—
850	C₂×#95	—	13	1	no	—
851	C₂×#95	—	13	1	no	—
852	C₂×#95	—	13	1	no	—
853	C₂×#95	—	13	1	no	—
854	C₂×#95	—	13	1	no	—
855	C₂×#95	—	13	1	no	—
856	C₂×#95	—	13	1	no	—
857	C₂×#95	—	13	1	no	—
858	C₂²×C₁₃	C₂³×D₄	1	1	yes	characteristic
859	C₂²×C₁₃	C₂³×Q₈	1	1	yes	characteristic
860	C₂²×C₁₃	C₂²×#41	1	1	yes	characteristic
861	C₂²×C₁₃	C₂²×#41	1	1	yes	characteristic
862	C₂²×C₁₃	C₂²×#41	1	1	yes	characteristic
863	C₂²×C₁₃	C₂×2₋¹⁺⁴	1	1	yes	characteristic
864	C₂²×C₁₃	C₂×2₋¹⁺⁴	1	1	yes	characteristic
865	C₂×D₁₃	#525	1	4	yes	—
866	C₂×D₁₃	#533	1	4	yes	—
867	C₂×D₁₃	#541	1	4	yes	—
868	C₂×D₁₃	#547	1	4	yes	—
869	C₂×D₁₃	D₄×Q₈	1	4	yes	—
870	C₂×D₁₃	#552	1	4	yes	—
871	C₂×D₁₃	#557	1	4	yes	—
872	C₄×C₁₃	—	2	2	no	—
873	C₄×C₁₃	—	2	2	no	—
874	C₄×C₁₃	—	2	2	no	—
875	C₄×C₁₃	—	2	2	no	—
876	C₄×C₁₃	—	2	2	no	—
877	C₄×C₁₃	—	2	2	no	—
878	C₄×C₁₃	—	2	2	no	—
879	C₄×C₁₃	—	2	2	no	—
880	C₄×C₁₃	—	2	2	no	—
881	C₄×C₁₃	—	4	1	no	—
882	C₄×C₁₃	—	4	1	no	—
883	C₄×C₁₃	—	4	1	no	—
884	C₄×C₁₃	—	4	1	no	—
885	C₄×C₁₃	—	4	1	no	—
886	C₄×C₁₃	—	4	1	no	—
887	Dic₁₃	—	2	2	no	—
888	Dic₁₃	—	2	2	no	—
889	Dic₁₃	—	2	2	no	—
890	Dic₁₃	—	2	2	no	—
891	Dic₁₃	—	2	2	no	—
892	Dic₁₃	—	2	2	no	—
893	Dic₁₃	—	2	2	no	—
894	Dic₁₃	—	2	2	no	—
895	Dic₁₃	—	2	2	no	—
896	Dic₁₃	—	4	1	no	—
897	Dic₁₃	—	4	1	no	—
898	Dic₁₃	—	4	1	no	—
899	Dic₁₃	—	4	1	no	—
900	Dic₁₃	—	4	1	no	—
901	Dic₁₃	—	4	1	no	—
902	C₂²×Q₈	—	13	1	no	—
903	C₂²×Q₈	—	13	1	no	—
904	C₂²×Q₈	—	13	1	no	—
905	C₂²×Q₈	—	26	4	no	—
906	C₂²×Q₈	—	26	4	no	—
907	C₂²×Q₈	—	26	4	no	—
908	C₂²×Q₈	C₂²×D₁₃	1	1	yes	characteristic
909	C₂³×C₄	—	13	1	no	—
910	C₂³×C₄	—	13	1	no	—
911	C₂³×C₄	—	13	1	no	—
912	C₂³×C₄	—	13	1	no	—
913	C₂³×C₄	—	13	1	no	—
914	C₂³×C₄	—	13	1	no	—
915	C₂³×C₄	—	13	1	no	—
916	C₂³×C₄	—	13	1	no	—
917	C₂³×C₄	—	13	1	no	—
918	C₂³×C₄	—	13	1	no	—
919	C₂³×C₄	—	13	1	no	—
920	C₂³×C₄	—	13	1	no	—
921	C₂³×C₄	—	13	1	no	—
922	C₂³×C₄	—	13	1	no	—
923	C₂³×C₄	—	13	1	no	—
924	#125	—	2	4	no	—
925	#125	—	26	4	no	—
926	#125	—	26	4	no	—
927	#125	—	26	4	no	—
928	#125	—	26	4	no	—
929	#125	—	26	4	no	—
930	#125	—	26	4	no	—
931	#125	—	26	4	no	—
932	C₄×Q₈	—	2	4	no	—
933	C₄×Q₈	—	26	4	no	—
934	C₄×Q₈	—	26	4	no	—
935	C₄×Q₈	—	26	4	no	—
936	C₄×Q₈	—	26	4	no	—
937	C₄×Q₈	—	26	4	no	—
938	C₄×Q₈	—	26	4	no	—
939	C₄×Q₈	—	26	4	no	—
940	C₂×C₄⋊C₄	—	13	1	no	—
941	C₂×C₄⋊C₄	—	13	1	no	—
942	C₂×C₄⋊C₄	—	13	1	no	—
943	C₂×C₄⋊C₄	—	13	1	no	—
944	C₂×C₄⋊C₄	—	13	1	no	—
945	C₂×C₄⋊C₄	—	13	1	no	—
946	C₂×C₄⋊C₄	—	13	8	no	—
947	C₂×C₄⋊C₄	—	13	8	no	—
948	C₂×C₄⋊C₄	—	13	1	no	—
949	C₂×C₄⋊C₄	—	13	1	no	—
950	C₂×C₄⋊C₄	—	13	1	no	—
951	C₂×C₄⋊C₄	—	13	1	no	—
952	C₂×C₄⋊C₄	—	13	1	no	—
953	C₂×C₄⋊C₄	—	13	1	no	—
954	C₂×C₄⋊C₄	—	13	1	no	—
955	C₂×C₄⋊C₄	—	13	1	no	—
956	C₂×C₄⋊C₄	—	13	1	no	—
957	C₂×C₄⋊C₄	—	13	1	no	—
958	C₂×C₄⋊C₄	—	13	1	no	—
959	C₂×C₄⋊C₄	—	13	1	no	—
960	C₂×C₄⋊C₄	—	13	1	no	—
961	C₂×C₄⋊C₄	—	13	1	no	—
962	C₂×C₄⋊C₄	—	13	1	no	—
963	C₂×C₄⋊C₄	—	13	1	no	—
964	C₂×C₄⋊C₄	—	13	1	no	—
965	C₂×C₄⋊C₄	—	13	1	no	—
966	C₂×C₄⋊C₄	—	13	1	no	—
967	C₂×C₄⋊C₄	—	13	1	no	—
968	C₂×C₄⋊C₄	—	13	1	no	—
969	C₂×C₄⋊C₄	—	13	1	no	—
970	C₂×C₄⋊C₄	—	13	1	no	—
971	C₂×C₄⋊C₄	—	13	1	no	—
972	C₂×C₄⋊C₄	—	13	1	no	—
973	C₂×C₄⋊C₄	—	13	1	no	—
974	C₂×C₄⋊C₄	—	13	1	no	—
975	C₂×C₄⋊C₄	—	13	1	no	—
976	C₂×C₄⋊C₄	—	13	1	no	—
977	C₂×C₄⋊C₄	—	13	1	no	—
978	C₂×C₄⋊C₄	—	13	1	no	—
979	C₂×C₄⋊C₄	—	13	1	no	—
980	C₂×C₄⋊C₄	—	13	1	no	—
981	C₂×C₄⋊C₄	—	13	1	no	—
982	C₂×C₄⋊C₄	—	13	1	no	—
983	C₂×C₄⋊C₄	—	13	1	no	—
984	C₂×C₄⋊C₄	—	13	1	no	—
985	C₂×C₄⋊C₄	—	13	1	no	—
986	C₂×C₄⋊C₄	—	13	1	no	—
987	C₂×C₄⋊C₄	—	26	4	no	—
988	C₂×C₄⋊C₄	—	26	4	no	—
989	C₂×C₄⋊C₄	—	26	4	no	—
990	C₂×C₄⋊C₄	—	26	4	no	—
991	C₂×C₄⋊C₄	—	26	4	no	—
992	C₂×C₄⋊C₄	—	26	4	no	—
993	C₂×C₄⋊C₄	—	26	4	no	—
994	C₂×C₄⋊C₄	—	26	4	no	—
995	C₂×C₄⋊C₄	—	26	4	no	—
996	C₂×C₄⋊C₄	—	26	4	no	—
997	C₂×C₄⋊C₄	—	26	4	no	—
998	C₂×C₄⋊C₄	—	26	4	no	—
999	C₂×C₄⋊C₄	—	26	4	no	—
1000	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1001	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1002	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1003	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1004	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1005	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1006	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1007	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1008	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1009	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1010	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1011	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1012	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1013	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1014	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1015	C₂×C₄²	—	13	1	no	—
1016	C₂×C₄²	—	13	1	no	—
1017	C₂×C₄²	—	13	1	no	—
1018	C₂×C₄²	—	13	1	no	—
1019	C₂×C₄²	—	13	1	no	—
1020	C₂×C₄²	—	13	1	no	—
1021	C₂×C₄²	—	13	1	no	—
1022	C₂×C₄²	—	13	1	no	—
1023	C₂×C₄²	—	13	1	no	—
1024	C₂×C₄²	—	13	1	no	—
1025	C₂×C₄²	—	13	1	no	—
1026	C₂×C₄²	—	13	1	no	—
1027	C₂×C₄²	—	13	1	no	—
1028	C₂×C₄²	—	13	1	no	—
1029	C₂×C₄²	—	13	1	no	—
1030	C₂×C₄²	—	26	4	no	—
1031	C₂×C₄²	—	26	4	no	—
1032	C₂×C₄²	—	26	4	no	—
1033	C₂×C₄²	—	26	4	no	—
1034	C₂×C₄²	—	26	4	no	—
1035	C₂×C₄²	C₂²×D₁₃	1	1	yes	characteristic
1036	C₂×C₄²	C₂²×D₁₃	1	1	yes	characteristic
1037	C₂×C₄²	C₂²×D₁₃	1	1	yes	characteristic
1038	C₂×C₄²	C₂²×D₁₃	1	1	yes	characteristic
1039	C₂×C₄²	C₂²×D₁₃	1	1	yes	characteristic
1040	#95	—	13	1	no	—
1041	#95	—	13	1	no	—
1042	#95	—	13	1	no	—
1043	#95	—	13	1	no	—
1044	#95	—	13	1	no	—
1045	#95	—	13	1	no	—
1046	#95	—	13	1	no	—
1047	#95	—	13	1	no	—
1048	#95	—	13	1	no	—
1049	#95	—	13	1	no	—
1050	#95	—	13	1	no	—
1051	#95	—	13	1	no	—
1052	#95	—	13	1	no	—
1053	#95	—	13	1	no	—
1054	#95	—	13	1	no	—
1055	#95	—	13	1	no	—
1056	#95	—	13	1	no	—
1057	#95	—	13	1	no	—
1058	#95	—	13	1	no	—
1059	#95	—	13	1	no	—
1060	#95	—	13	1	no	—
1061	#95	—	13	1	no	—
1062	#95	—	13	1	no	—
1063	#95	—	13	1	no	—
1064	#95	—	13	1	no	—
1065	#95	—	13	1	no	—
1066	#95	—	13	1	no	—
1067	#95	—	13	1	no	—
1068	#95	—	13	1	no	—
1069	#95	—	13	1	no	—
1070	#95	—	13	1	no	—
1071	#95	—	13	1	no	—
1072	#95	—	13	1	no	—
1073	#95	—	13	1	no	—
1074	#95	—	13	1	no	—
1075	#95	—	13	1	no	—
1076	#95	—	13	1	no	—
1077	#95	—	13	1	no	—
1078	#95	—	13	1	no	—
1079	#95	—	13	1	no	—
1080	#95	—	13	1	no	—
1081	#95	—	13	1	no	—
1082	#95	C₂²×D₁₃	1	1	yes	characteristic
1083	#95	C₂²×D₁₃	1	1	yes	characteristic
1084	#95	C₂²×D₁₃	1	1	yes	characteristic
1085	#95	C₂²×D₁₃	1	1	yes	characteristic
1086	#95	C₂²×D₁₃	1	1	yes	characteristic
1087	#95	C₂²×D₁₃	1	1	yes	characteristic
1088	#95	C₂²×D₁₃	1	1	yes	characteristic
1089	#95	C₂²×D₁₃	1	1	yes	characteristic
1090	#95	C₂²×D₁₃	1	1	yes	characteristic
1091	#95	C₂²×D₁₃	1	1	yes	characteristic
1092	#95	C₂²×D₁₃	1	1	yes	characteristic
1093	#95	C₂²×D₁₃	1	1	yes	characteristic
1094	#95	C₂²×D₁₃	1	1	yes	characteristic
1095	#95	C₂²×D₁₃	1	1	yes	characteristic
1096	C₂×C₁₃	C₂×#525	1	1	yes	characteristic
1097	C₂×C₁₃	C₂×#533	1	1	yes	characteristic
1098	C₂×C₁₃	C₂×#541	1	1	yes	characteristic
1099	C₂×C₁₃	C₂×#547	1	1	yes	characteristic
1100	C₂×C₁₃	C₂×D₄×Q₈	1	1	yes	characteristic
1101	C₂×C₁₃	C₂×#552	1	1	yes	characteristic
1102	C₂×C₁₃	C₂×#557	1	1	yes	characteristic
1103	D₁₃	#2462	1	8	yes	direct product factor
1104	C₂⁴	—	13	1	no	—
1105	C₂×Q₈	—	2	2	no	—
1106	C₂×Q₈	—	2	2	no	—
1107	C₂×Q₈	—	2	2	no	—
1108	C₂×Q₈	—	26	2	no	—
1109	C₂×Q₈	—	26	2	no	—
1110	C₂×Q₈	—	26	2	no	—
1111	C₂×Q₈	—	26	2	no	—
1112	C₂×Q₈	—	26	2	no	—
1113	C₂×Q₈	—	26	2	no	—
1114	C₂×Q₈	—	26	32	no	—
1115	C₂×Q₈	—	26	2	no	—
1116	C₂×Q₈	—	26	2	no	—
1117	C₂×Q₈	—	26	2	no	—
1118	C₂²×C₄	—	13	1	no	—
1119	C₂²×C₄	—	13	1	no	—
1120	C₂²×C₄	—	13	1	no	—
1121	C₂²×C₄	—	13	1	no	—
1122	C₂²×C₄	—	13	1	no	—
1123	C₂²×C₄	—	13	1	no	—
1124	C₂²×C₄	—	13	1	no	—
1125	C₂²×C₄	—	13	1	no	—
1126	C₂²×C₄	—	13	1	no	—
1127	C₂²×C₄	—	13	4	no	—
1128	C₂²×C₄	—	13	4	no	—
1129	C₂²×C₄	—	13	4	no	—
1130	C₂²×C₄	—	13	4	no	—
1131	C₂²×C₄	—	13	4	no	—
1132	C₂²×C₄	—	13	4	no	—
1133	C₂²×C₄	—	13	4	no	—
1134	C₂²×C₄	—	13	4	no	—
1135	C₂²×C₄	—	13	4	no	—
1136	C₂²×C₄	—	13	1	no	—
1137	C₂²×C₄	—	13	1	no	—
1138	C₂²×C₄	—	13	1	no	—
1139	C₂²×C₄	—	13	1	no	—
1140	C₂²×C₄	—	13	1	no	—
1141	C₂²×C₄	—	13	1	no	—
1142	C₂²×C₄	—	26	2	no	—
1143	C₂²×C₄	—	26	2	no	—
1144	C₂²×C₄	—	26	2	no	—
1145	C₂²×C₄	—	26	2	no	—
1146	C₂²×C₄	—	26	2	no	—
1147	C₂²×C₄	—	26	2	no	—
1148	C₂²×C₄	—	26	2	no	—
1149	C₂²×C₄	—	26	2	no	—
1150	C₂²×C₄	—	26	2	no	—
1151	C₂²×C₄	—	26	2	no	—
1152	C₂²×C₄	—	26	2	no	—
1153	C₂²×C₄	—	26	2	no	—
1154	C₂²×C₄	—	26	2	no	—
1155	C₂²×C₄	—	26	2	no	—
1156	C₂²×C₄	—	26	2	no	—
1157	C₂²×C₄	—	26	2	no	—
1158	C₂²×C₄	—	26	2	no	—
1159	C₂²×C₄	—	26	2	no	—
1160	C₂²×C₄	—	26	2	no	—
1161	C₂²×C₄	—	26	2	no	—
1162	C₂²×C₄	—	26	2	no	—
1163	C₂²×C₄	—	26	2	no	—
1164	C₂²×C₄	—	26	2	no	—
1165	C₂²×C₄	—	26	2	no	—
1166	C₂²×C₄	—	26	2	no	—
1167	C₂²×C₄	—	26	2	no	—
1168	C₂²×C₄	—	26	2	no	—
1169	C₂²×C₄	—	26	2	no	—
1170	C₂²×C₄	—	26	2	no	—
1171	C₂²×C₄	—	26	2	no	—
1172	C₂²×C₄	—	26	2	no	—
1173	C₂²×C₄	—	26	2	no	—
1174	C₂²×C₄	—	26	2	no	—
1175	C₂²×C₄	—	26	2	no	—
1176	C₂²×C₄	—	26	2	no	—
1177	C₂²×C₄	—	26	2	no	—
1178	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1179	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1180	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1181	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1182	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1183	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1184	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1185	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1186	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1187	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1188	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1189	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1190	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1191	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1192	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1193	C₄⋊C₄	—	2	2	no	—
1194	C₄⋊C₄	—	2	2	no	—
1195	C₄⋊C₄	—	2	2	no	—
1196	C₄⋊C₄	—	2	2	no	—
1197	C₄⋊C₄	—	2	2	no	—
1198	C₄⋊C₄	—	2	2	no	—
1199	C₄⋊C₄	—	2	2	no	—
1200	C₄⋊C₄	—	2	2	no	—
1201	C₄⋊C₄	—	2	2	no	—
1202	C₄⋊C₄	—	2	2	no	—
1203	C₄⋊C₄	—	2	2	no	—
1204	C₄⋊C₄	—	2	2	no	—
1205	C₄⋊C₄	—	2	2	no	—
1206	C₄⋊C₄	—	13	4	no	—
1207	C₄⋊C₄	—	13	4	no	—
1208	C₄⋊C₄	—	13	4	no	—
1209	C₄⋊C₄	—	13	4	no	—
1210	C₄⋊C₄	—	13	4	no	—
1211	C₄⋊C₄	—	13	4	no	—
1212	C₄⋊C₄	—	26	2	no	—
1213	C₄⋊C₄	—	26	2	no	—
1214	C₄⋊C₄	—	26	2	no	—
1215	C₄⋊C₄	—	26	2	no	—
1216	C₄⋊C₄	—	26	2	no	—
1217	C₄⋊C₄	—	26	2	no	—
1218	C₄⋊C₄	—	26	2	no	—
1219	C₄⋊C₄	—	26	2	no	—
1220	C₄⋊C₄	—	26	2	no	—
1221	C₄⋊C₄	—	26	2	no	—
1222	C₄⋊C₄	—	26	2	no	—
1223	C₄⋊C₄	—	26	2	no	—
1224	C₄⋊C₄	—	26	2	no	—
1225	C₄⋊C₄	—	26	2	no	—
1226	C₄⋊C₄	—	26	2	no	—
1227	C₄⋊C₄	—	26	2	no	—
1228	C₄⋊C₄	—	26	2	no	—
1229	C₄⋊C₄	—	26	2	no	—
1230	C₄⋊C₄	—	26	2	no	—
1231	C₄⋊C₄	—	26	2	no	—
1232	C₄⋊C₄	—	26	2	no	—
1233	C₄⋊C₄	—	26	2	no	—
1234	C₄⋊C₄	—	26	2	no	—
1235	C₄⋊C₄	—	26	2	no	—
1236	C₄⋊C₄	—	26	2	no	—
1237	C₄⋊C₄	—	26	2	no	—
1238	C₄⋊C₄	—	26	2	no	—
1239	C₄⋊C₄	—	26	2	no	—
1240	C₄⋊C₄	—	26	2	no	—
1241	C₄⋊C₄	—	26	2	no	—
1242	C₄⋊C₄	—	26	2	no	—
1243	C₄⋊C₄	—	26	2	no	—
1244	C₄⋊C₄	—	26	2	no	—
1245	C₄⋊C₄	—	26	2	no	—
1246	C₄⋊C₄	—	26	2	no	—
1247	C₄⋊C₄	—	26	2	no	—
1248	C₄⋊C₄	—	26	2	no	—
1249	C₄⋊C₄	—	26	2	no	—
1250	C₄⋊C₄	—	26	2	no	—
1251	C₄⋊C₄	D₄×D₁₃	1	4	yes	—
1252	C₄⋊C₄	Q₈×D₁₃	1	4	yes	complemented
1253	C₄²	—	2	2	no	—
1254	C₄²	—	2	2	no	—
1255	C₄²	—	2	2	no	—
1256	C₄²	—	2	2	no	—
1257	C₄²	—	2	2	no	—
1258	C₄²	—	26	2	no	—
1259	C₄²	—	26	2	no	—
1260	C₄²	—	26	2	no	—
1261	C₄²	—	26	2	no	—
1262	C₄²	—	26	2	no	—
1263	C₄²	—	26	2	no	—
1264	C₄²	—	26	2	no	—
1265	C₄²	—	26	2	no	—
1266	C₄²	—	26	2	no	—
1267	C₄²	—	26	2	no	—
1268	C₄²	—	26	2	no	—
1269	C₄²	—	26	2	no	—
1270	C₄²	—	26	2	no	—
1271	C₄²	—	26	2	no	—
1272	C₄²	—	26	2	no	—
1273	C₁₃	C₂×#2462	1	1	yes	characteristic, complemented, Sylow
1274	C₂³	—	13	2	no	—
1275	C₂³	—	13	2	no	—
1276	C₂³	—	13	2	no	—
1277	C₂³	—	13	2	no	—
1278	C₂³	—	13	2	no	—
1279	C₂³	—	13	2	no	—
1280	C₂³	—	13	2	no	—
1281	C₂³	C₂⁴×D₁₃	1	1	yes	characteristic
1282	Q₈	—	2	8	no	—
1283	Q₈	—	26	8	no	—
1284	Q₈	—	26	8	no	—
1285	Q₈	—	26	8	no	—
1286	C₂×C₄	—	2	1	no	—
1287	C₂×C₄	—	2	1	no	—
1288	C₂×C₄	—	2	1	no	—
1289	C₂×C₄	—	2	1	no	—
1290	C₂×C₄	—	2	1	no	—
1291	C₂×C₄	—	2	1	no	—
1292	C₂×C₄	—	2	1	no	—
1293	C₂×C₄	—	2	1	no	—
1294	C₂×C₄	—	2	1	no	—
1295	C₂×C₄	—	2	1	no	—
1296	C₂×C₄	—	2	1	no	—
1297	C₂×C₄	—	2	1	no	—
1298	C₂×C₄	—	2	1	no	—
1299	C₂×C₄	—	2	1	no	—
1300	C₂×C₄	—	2	1	no	—
1301	C₂×C₄	—	2	1	no	—
1302	C₂×C₄	—	2	1	no	—
1303	C₂×C₄	—	2	1	no	—
1304	C₂×C₄	—	2	1	no	—
1305	C₂×C₄	—	2	1	no	—
1306	C₂×C₄	—	2	1	no	—
1307	C₂×C₄	—	2	1	no	—
1308	C₂×C₄	—	2	1	no	—
1309	C₂×C₄	—	2	1	no	—
1310	C₂×C₄	—	2	1	no	—
1311	C₂×C₄	—	2	1	no	—
1312	C₂×C₄	—	2	1	no	—
1313	C₂×C₄	—	2	1	no	—
1314	C₂×C₄	—	2	1	no	—
1315	C₂×C₄	—	2	1	no	—
1316	C₂×C₄	—	2	1	no	—
1317	C₂×C₄	—	2	1	no	—
1318	C₂×C₄	—	2	1	no	—
1319	C₂×C₄	—	2	1	no	—
1320	C₂×C₄	—	2	1	no	—
1321	C₂×C₄	—	2	1	no	—
1322	C₂×C₄	—	13	2	no	—
1323	C₂×C₄	—	13	2	no	—
1324	C₂×C₄	—	13	2	no	—
1325	C₂×C₄	—	13	2	no	—
1326	C₂×C₄	—	13	2	no	—
1327	C₂×C₄	—	13	2	no	—
1328	C₂×C₄	—	13	2	no	—
1329	C₂×C₄	—	13	2	no	—
1330	C₂×C₄	—	13	2	no	—
1331	C₂×C₄	—	26	8	no	—
1332	C₂×C₄	—	26	8	no	—
1333	C₂×C₄	—	26	8	no	—
1334	C₂×C₄	—	26	8	no	—
1335	C₂×C₄	—	26	8	no	—
1336	C₂×C₄	—	26	8	no	—
1337	C₂×C₄	—	26	8	no	—
1338	C₂×C₄	—	26	8	no	—
1339	C₂×C₄	—	26	8	no	—
1340	C₂×C₄	—	26	1	no	—
1341	C₂×C₄	—	26	1	no	—
1342	C₂×C₄	—	26	1	no	—
1343	C₂×C₄	—	26	1	no	—
1344	C₂×C₄	—	26	1	no	—
1345	C₂×C₄	—	26	1	no	—
1346	C₂×C₄	—	26	1	no	—
1347	C₂×C₄	—	26	1	no	—
1348	C₂×C₄	—	26	1	no	—
1349	C₂×C₄	—	26	1	no	—
1350	C₂×C₄	—	26	1	no	—
1351	C₂×C₄	—	26	1	no	—
1352	C₂×C₄	—	26	1	no	—
1353	C₂×C₄	—	26	1	no	—
1354	C₂×C₄	—	26	1	no	—
1355	C₂×C₄	—	26	1	no	—
1356	C₂×C₄	—	26	1	no	—
1357	C₂×C₄	—	26	1	no	—
1358	C₂×C₄	—	26	1	no	—
1359	C₂×C₄	—	26	1	no	—
1360	C₂×C₄	—	26	1	no	—
1361	C₂×C₄	—	26	1	no	—
1362	C₂×C₄	—	26	1	no	—
1363	C₂×C₄	—	26	1	no	—
1364	C₂×C₄	—	26	1	no	—
1365	C₂×C₄	—	26	1	no	—
1366	C₂×C₄	—	26	1	no	—
1367	C₂×C₄	—	26	1	no	—
1368	C₂×C₄	—	26	1	no	—
1369	C₂×C₄	—	26	1	no	—
1370	C₂×C₄	—	26	1	no	—
1371	C₂×C₄	—	26	1	no	—
1372	C₂×C₄	—	26	1	no	—
1373	C₂×C₄	—	26	1	no	—
1374	C₂×C₄	—	26	1	no	—
1375	C₂×C₄	—	26	1	no	—
1376	C₂×C₄	—	52	4	no	—
1377	C₂×C₄	—	52	4	no	—
1378	C₂×C₄	—	52	4	no	—
1379	C₂×C₄	—	52	4	no	—
1380	C₂×C₄	—	52	4	no	—
1381	C₂×C₄	—	52	4	no	—
1382	C₂×C₄	C₂×D₄×D₁₃	1	2	yes	—
1383	C₂×C₄	C₂×D₄×D₁₃	1	2	yes	—
1384	C₂×C₄	C₂×D₄×D₁₃	1	2	yes	—
1385	C₂×C₄	C₂×Q₈×D₁₃	1	2	yes	—
1386	C₂×C₄	C₂×Q₈×D₁₃	1	2	yes	—
1387	C₂×C₄	C₂×Q₈×D₁₃	1	2	yes	—
1388	C₂×C₄	#41×D₁₃	1	2	yes	—
1389	C₂×C₄	#41×D₁₃	1	2	yes	—
1390	C₂×C₄	#41×D₁₃	1	2	yes	—
1391	C₂²	—	13	4	no	—
1392	C₂²	—	13	4	no	—
1393	C₂²	—	13	4	no	—
1394	C₂²	—	13	4	no	—
1395	C₂²	—	13	4	no	—
1396	C₂²	—	13	4	no	—
1397	C₂²	—	13	4	no	—
1398	C₂²	C₂²×D₄×D₁₃	1	1	yes	characteristic
1399	C₂²	C₂²×Q₈×D₁₃	1	1	yes	characteristic
1400	C₂²	C₂×#41×D₁₃	1	1	yes	characteristic
1401	C₂²	C₂×#41×D₁₃	1	1	yes	characteristic
1402	C₂²	C₂×#41×D₁₃	1	1	yes	characteristic
1403	C₂²	D₁₃×2₋¹⁺⁴	1	1	yes	characteristic
1404	C₂²	D₁₃×2₋¹⁺⁴	1	1	yes	characteristic
1405	C₄	—	2	2	no	—
1406	C₄	—	2	2	no	—
1407	C₄	—	2	2	no	—
1408	C₄	—	2	2	no	—
1409	C₄	—	2	2	no	—
1410	C₄	—	2	2	no	—
1411	C₄	—	2	2	no	—
1412	C₄	—	2	2	no	—
1413	C₄	—	2	2	no	—
1414	C₄	—	4	1	no	—
1415	C₄	—	4	1	no	—
1416	C₄	—	4	1	no	—
1417	C₄	—	4	1	no	—
1418	C₄	—	4	1	no	—
1419	C₄	—	4	1	no	—
1420	C₄	—	26	2	no	—
1421	C₄	—	26	2	no	—
1422	C₄	—	26	2	no	—
1423	C₄	—	26	2	no	—
1424	C₄	—	26	2	no	—
1425	C₄	—	26	2	no	—
1426	C₄	—	26	2	no	—
1427	C₄	—	26	2	no	—
1428	C₄	—	26	2	no	—
1429	C₄	—	52	1	no	—
1430	C₄	—	52	1	no	—
1431	C₄	—	52	1	no	—
1432	C₄	—	52	1	no	—
1433	C₄	—	52	1	no	—
1434	C₄	—	52	1	no	—
1435	C₂	—	13	8	no	—
1436	C₂	D₁₃×#525	1	1	yes	characteristic
1437	C₂	D₁₃×#533	1	1	yes	characteristic
1438	C₂	D₁₃×#541	1	1	yes	characteristic
1439	C₂	D₁₃×#547	1	1	yes	characteristic
1440	C₂	D₄×Q₈×D₁₃	1	1	yes	characteristic
1441	C₂	D₁₃×#552	1	1	yes	characteristic
1442	C₂	D₁₃×#557	1	1	yes	characteristic

	subgroup	G/H
center, Frattini	C₂³	C₂⁴×D₁₃
commutator, socle, cosocle	C₂³×C₁₃	C₂⁵
Fitting	C₁₃×#2462	C₂
prime radical	C₂³×D₁₃	C₂⁴
hypercenter	#2462	D₁₃
hypocenter	C₁₃	C₂×#2462
LCS	G ▷ C₂³×C₁₃ ▷ C₁₃
UCS	C₁ ◁ C₂³ ◁ #2462

Complements

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

N	H ≅ G/N	type
3. #13118825	C₂	semidirect
4. #13118824	C₂	semidirect
5. #13118823	C₂	semidirect
6. #13118822	C₂	semidirect
7. #13118821	C₂	semidirect
8. #13118820	C₂	semidirect
9. #13118819	C₂	semidirect
10. #13118818	C₂	semidirect
11. #13118817	C₂	semidirect
12. #13118816	C₂	semidirect
13. #13118815	C₂	semidirect
14. #13118814	C₂	semidirect
15. #13118813	C₂	semidirect
16. #13118812	C₂	semidirect
17. #13118811	C₂	semidirect
31. C₁₃×#2462	C₂	semidirect
308. C₄⋊C₄×D₁₃	Q₈	semidirect
487. C₁₃×C₄⋊C₄	C₂×Q₈	semidirect
507. C₄⋊Dic₁₃	C₂×Q₈	semidirect
536. #6101	C₂×Q₈	semidirect
537. #6101	C₂×Q₈	semidirect
570. #2462	D₁₃	direct (N × H)
1103. D₁₃	#2462	direct (N × H)
1252. C₄⋊C₄	Q₈×D₁₃	semidirect
1273. C₁₃	C₂×#2462	semidirect

Maximal subgroups

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

subgroup	index
C₂×D₁₃×#125	2
C₂×C₄×Q₈×D₁₃	2
#13118825	2
#13118824	2
#13118823	2
#13118822	2
#13118821	2
#13118820	2
#13118819	2
#13118818	2
#13118817	2
#13118816	2
#13118815	2
#13118814	2
#13118813	2
#13118812	2
#13118811	2
D₁₃×#398	2
D₁₃×#395	2
D₁₃×#389	2
D₁₃×#387	2
C₄×C₄⋊C₄×D₁₃	2
C₁₃×#2462	2
C₂×#2462	13

Subgroups — D13×#2462 #16030903

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — D₁₃×#2462 #16030903