Subgroups — D₁₃×#2574 #16033152

Order 3328.

2334 conjugacy classes of subgroups.

The subgroup lattice has 1504 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#13120117	C₂	1	1	yes	maximal, characteristic, complemented
2	#13120116	C₂	1	1	yes	maximal, characteristic, complemented
3	#13120115	C₂	1	1	yes	maximal, characteristic, complemented
4	#13120114	C₂	1	1	yes	maximal, characteristic, complemented
5	#13120113	C₂	1	1	yes	maximal, characteristic, complemented
6	#13120112	C₂	1	1	yes	maximal, characteristic, complemented
7	#13120111	C₂	1	1	yes	maximal, characteristic, complemented
8	#13120110	C₂	1	1	yes	maximal, characteristic, complemented
9	#13120109	C₂	1	1	yes	maximal, characteristic, complemented
10	#13120108	C₂	1	1	yes	maximal, characteristic, complemented
11	#13120107	C₂	1	1	yes	maximal, characteristic, complemented
12	#13120106	C₂	1	1	yes	maximal, characteristic, complemented
13	#13120105	C₂	1	1	yes	maximal, characteristic, complemented
14	#13120104	C₂	1	1	yes	maximal, characteristic, complemented
15	#13120103	C₂	1	1	yes	maximal, characteristic, complemented
16	D₁₃×#398	C₂	1	1	yes	maximal, characteristic, complemented
17	D₁₃×#396	C₂	1	1	yes	maximal, characteristic
18	D₁₃×#395	C₂	1	1	yes	maximal, characteristic, complemented
19	D₁₃×#393	C₂	1	1	yes	maximal, characteristic
20	D₁₃×#391	C₂	1	1	yes	maximal, characteristic, complemented
21	D₁₃×#388	C₂	1	1	yes	maximal, characteristic
22	D₁₃×#388	C₂	1	1	yes	maximal, characteristic
23	D₁₃×#387	C₂	1	1	yes	maximal, characteristic, complemented
24	D₁₃×#387	C₂	1	1	yes	maximal, characteristic, complemented
25	D₁₃×#387	C₂	1	1	yes	maximal, characteristic, complemented
26	D₁₃×#385	C₂	1	1	yes	maximal, characteristic
27	D₁₃×#382	C₂	1	1	yes	maximal, characteristic, complemented
28	D₁₃×#380	C₂	1	1	yes	maximal, characteristic
29	C₄×C₄⋊C₄×D₁₃	C₂	1	1	yes	maximal, characteristic, complemented
30	C₄×C₂²⋊C₄×D₁₃	C₂	1	1	yes	maximal, characteristic
31	C₁₃×#2574	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂²×Q₈×D₁₃	C₂²	1	1	yes	characteristic
33	C₂³×C₄×D₁₃	C₂²	1	1	yes	characteristic
34	C₂×C₄⋊C₄×D₁₃	C₂²	1	1	yes	characteristic
35	C₂×C₄⋊C₄×D₁₃	C₂²	1	1	yes	characteristic
36	C₂×C₄⋊C₄×D₁₃	C₂²	1	1	yes	characteristic
37	C₂×C₄⋊C₄×D₁₃	C₂²	1	1	yes	characteristic
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×C₂²⋊C₄×D₁₃	C₂²	1	1	yes	characteristic
44	C₂×C₂²⋊C₄×D₁₃	C₂²	1	1	yes	characteristic
45	C₂×C₂²⋊C₄×D₁₃	C₂²	1	1	yes	characteristic
46	C₂×C₂²⋊C₄×D₁₃	C₂²	1	1	yes	characteristic
47	C₂×C₂²⋊C₄×D₁₃	C₂²	1	1	yes	characteristic
48	C₂×C₂²⋊C₄×D₁₃	C₂²	1	1	yes	characteristic
49	C₂×C₄²×D₁₃	C₂²	1	1	yes	characteristic
50	C₂×C₄²×D₁₃	C₂²	1	1	yes	characteristic
51	C₂×C₄²×D₁₃	C₂²	1	1	yes	characteristic
52	C₂×C₄²×D₁₃	C₂²	1	1	yes	characteristic
53	C₁₃×#398	C₂²	1	1	yes	characteristic, complemented
54	C₁₃×#396	C₂²	1	1	yes	characteristic
55	C₁₃×#395	C₂²	1	1	yes	characteristic, complemented
56	C₁₃×#393	C₂²	1	1	yes	characteristic
57	C₁₃×#391	C₂²	1	1	yes	characteristic, complemented
58	C₁₃×#388	C₂²	1	1	yes	characteristic
59	C₁₃×#388	C₂²	1	1	yes	characteristic
60	C₁₃×#387	C₂²	1	1	yes	characteristic, complemented
61	C₁₃×#387	C₂²	1	1	yes	characteristic, complemented
62	C₁₃×#387	C₂²	1	1	yes	characteristic, complemented
63	C₁₃×#385	C₂²	1	1	yes	characteristic
64	C₁₃×#382	C₂²	1	1	yes	characteristic, complemented
65	C₁₃×#380	C₂²	1	1	yes	characteristic
66	C₄×C₁₃×C₄⋊C₄	C₂²	1	1	yes	characteristic, complemented
67	C₄×C₁₃×C₂²⋊C₄	C₂²	1	1	yes	characteristic
68	#11718892	C₂²	1	1	yes	characteristic
69	#11718891	C₂²	1	1	yes	characteristic, complemented
70	#11718890	C₂²	1	1	yes	characteristic, complemented
71	#11718873	C₂²	1	1	yes	characteristic
72	#11718871	C₂²	1	1	yes	characteristic
73	C₄×C₂²⋊Dic₁₃	C₂²	1	1	yes	characteristic
74	#11718655	C₂²	1	1	yes	characteristic
75	#11718655	C₂²	1	1	yes	characteristic
76	#11718655	C₂²	1	1	yes	characteristic
77	#11718651	C₂²	1	1	yes	characteristic
78	#11718651	C₂²	1	1	yes	characteristic
79	#11718650	C₂²	1	1	yes	characteristic
80	#11718650	C₂²	1	1	yes	characteristic
81	#11718648	C₂²	1	1	yes	characteristic
82	#11718648	C₂²	1	1	yes	characteristic
83	#11718645	C₂²	1	1	yes	characteristic, complemented
84	#11718645	C₂²	1	1	yes	characteristic, complemented
85	#11718644	C₂²	1	1	yes	characteristic, complemented
86	#11718642	C₂²	1	1	yes	characteristic, complemented
87	#11718642	C₂²	1	1	yes	characteristic, complemented
88	#11718642	C₂²	1	1	yes	characteristic, complemented
89	#11718641	C₂²	1	1	yes	characteristic, complemented
90	#11718640	C₂²	1	1	yes	characteristic, complemented
91	#11718640	C₂²	1	1	yes	characteristic, complemented
92	#11718640	C₂²	1	1	yes	characteristic, complemented
93	#11718639	C₂²	1	1	yes	characteristic, complemented
94	#11718639	C₂²	1	1	yes	characteristic, complemented
95	#11718639	C₂²	1	1	yes	characteristic, complemented
96	#11718638	C₂²	1	1	yes	characteristic, complemented
97	#11718638	C₂²	1	1	yes	characteristic, complemented
98	C₄⋊C₄×Dic₁₃	C₂²	1	1	yes	characteristic, complemented
99	C₄⋊C₄×Dic₁₃	C₂²	1	1	yes	characteristic, complemented
100	#11718635	C₂²	1	1	yes	characteristic, complemented
101	#11718612	C₂²	1	1	yes	characteristic
102	#11718612	C₂²	1	1	yes	characteristic
103	#11718611	C₂²	1	1	yes	characteristic
104	#11718609	C₂²	1	1	yes	characteristic
105	#11718609	C₂²	1	1	yes	characteristic
106	#11718609	C₂²	1	1	yes	characteristic
107	#11718608	C₂²	1	1	yes	characteristic
108	#11718608	C₂²	1	1	yes	characteristic
109	#11718608	C₂²	1	1	yes	characteristic
110	#11718607	C₂²	1	1	yes	characteristic
111	#11718606	C₂²	1	1	yes	characteristic
112	#11718606	C₂²	1	1	yes	characteristic
113	#11718605	C₂²	1	1	yes	characteristic
114	#11718605	C₂²	1	1	yes	characteristic
115	#11718603	C₂²	1	1	yes	characteristic
116	#11718603	C₂²	1	1	yes	characteristic
117	C₂²⋊C₄×Dic₁₃	C₂²	1	1	yes	characteristic
118	C₂²⋊C₄×Dic₁₃	C₂²	1	1	yes	characteristic
119	#11718601	C₂²	1	1	yes	characteristic
120	#11718601	C₂²	1	1	yes	characteristic
121	C₄×#6103	C₂²	1	1	yes	characteristic
122	C₄×#6103	C₂²	1	1	yes	characteristic
123	#11718597	C₂²	1	1	yes	characteristic, complemented
124	C₄×C₄⋊Dic₁₃	C₂²	1	1	yes	characteristic, complemented
125	#11718594	C₂²	1	1	yes	characteristic, complemented
126	#11718594	C₂²	1	1	yes	characteristic, complemented
127	#11718594	C₂²	1	1	yes	characteristic, complemented
128	C₄×#6101	C₂²	1	1	yes	characteristic, complemented
129	C₄×#6101	C₂²	1	1	yes	characteristic, complemented
130	#11718590	C₂²	1	1	yes	characteristic, complemented
131	#11718337	C₂²	1	1	yes	characteristic
132	#11718334	C₂²	1	1	yes	characteristic
133	#11718334	C₂²	1	1	yes	characteristic
134	#11718334	C₂²	1	1	yes	characteristic
135	#11718331	C₂²	1	1	yes	characteristic
136	#11718331	C₂²	1	1	yes	characteristic
137	#11718330	C₂²	1	1	yes	characteristic
138	#11718330	C₂²	1	1	yes	characteristic
139	#11718329	C₂²	1	1	yes	characteristic
140	#11718329	C₂²	1	1	yes	characteristic
141	#11718328	C₂²	1	1	yes	characteristic
142	#11718328	C₂²	1	1	yes	characteristic
143	#11718327	C₂²	1	1	yes	characteristic
144	#11718327	C₂²	1	1	yes	characteristic
145	D₁₃×#95	C₂²	1	1	yes	characteristic
146	D₁₃×#95	C₂²	1	1	yes	characteristic
147	D₁₃×#95	C₂²	1	1	yes	characteristic
148	D₁₃×#95	C₂²	1	1	yes	characteristic
149	D₁₃×#95	C₂²	1	1	yes	characteristic
150	D₁₃×#95	C₂²	1	1	yes	characteristic
151	D₁₃×#95	C₂²	1	1	yes	characteristic
152	D₁₃×#95	C₂²	1	1	yes	characteristic
153	D₁₃×#95	C₂²	1	1	yes	characteristic
154	D₁₃×#95	C₂²	1	1	yes	characteristic
155	D₁₃×#95	C₂²	1	1	yes	characteristic
156	D₁₃×#95	C₂²	1	1	yes	characteristic
157	D₁₃×#95	C₂²	1	1	yes	characteristic
158	D₁₃×#95	C₂²	1	1	yes	characteristic
159	#11718322	C₂²	1	1	yes	characteristic, complemented
160	#11718318	C₂²	1	1	yes	characteristic, complemented
161	#11718318	C₂²	1	1	yes	characteristic, complemented
162	#11718317	C₂²	1	1	yes	characteristic, complemented
163	#11718317	C₂²	1	1	yes	characteristic, complemented
164	#11718317	C₂²	1	1	yes	characteristic, complemented
165	#11718316	C₂²	1	1	yes	characteristic, complemented
166	#11718316	C₂²	1	1	yes	characteristic, complemented
167	#11718316	C₂²	1	1	yes	characteristic, complemented
168	#11718315	C₂²	1	1	yes	characteristic, complemented
169	#11718315	C₂²	1	1	yes	characteristic, complemented
170	#11718315	C₂²	1	1	yes	characteristic, complemented
171	#11718314	C₂²	1	1	yes	characteristic, complemented
172	#11718314	C₂²	1	1	yes	characteristic, complemented
173	#11718314	C₂²	1	1	yes	characteristic, complemented
174	#11718313	C₂²	1	1	yes	characteristic, complemented
175	#11718313	C₂²	1	1	yes	characteristic, complemented
176	#11718313	C₂²	1	1	yes	characteristic, complemented
177	#11718311	C₂²	1	1	yes	characteristic, complemented
178	#11718311	C₂²	1	1	yes	characteristic, complemented
179	#11718311	C₂²	1	1	yes	characteristic, complemented
180	#11718311	C₂²	1	1	yes	characteristic, complemented
181	#11718310	C₂²	1	1	yes	characteristic, complemented
182	#11718310	C₂²	1	1	yes	characteristic, complemented
183	#11718307	C₂²	1	1	yes	characteristic, complemented
184	#11718307	C₂²	1	1	yes	characteristic, complemented
185	#11718307	C₂²	1	1	yes	characteristic, complemented
186	#11718307	C₂²	1	1	yes	characteristic, complemented
187	C₂⁴×D₁₃	C₂³	1	1	yes	characteristic
188	C₂²×Q₈×C₁₃	C₂³	1	1	yes	characteristic
189	C₂³×C₄×C₁₃	C₂³	1	1	yes	characteristic
190	C₂³×Dic₁₃	C₂³	1	1	yes	characteristic
191	C₂×Q₈×D₁₃	—	2	4	no	—
192	C₂×Q₈×D₁₃	—	4	2	no	—
193	C₂×Q₈×D₁₃	—	4	2	no	—
194	C₂²×C₄×D₁₃	—	2	4	no	—
195	C₂²×C₄×D₁₃	—	2	4	no	—
196	C₂²×C₄×D₁₃	—	4	2	no	—
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×C₄×D₁₃	C₂³	1	1	yes	characteristic
209	C₂²×C₄×D₁₃	C₂³	1	1	yes	characteristic
210	C₂²×C₄×D₁₃	C₂³	1	1	yes	characteristic
211	C₂²×C₄×D₁₃	C₂³	1	1	yes	characteristic
212	C₂²×C₄×D₁₃	C₂³	1	1	yes	characteristic
213	C₂²×Dic₂₆	C₂³	1	1	yes	characteristic
214	C₂²×Dic₂₆	C₂³	1	1	yes	characteristic
215	C₂²×Dic₂₆	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×C₂²⋊C₄	C₂³	1	1	yes	characteristic
226	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
227	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
228	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
229	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
230	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
231	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
232	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
233	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
234	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
235	C₂×C₂²⋊Dic₁₃	C₂³	1	1	yes	characteristic
236	C₂×C₂²⋊Dic₁₃	C₂³	1	1	yes	characteristic
237	C₂×C₂²⋊Dic₁₃	C₂³	1	1	yes	characteristic
238	C₂×C₂²⋊Dic₁₃	C₂³	1	1	yes	characteristic
239	C₂×C₂²⋊Dic₁₃	C₂³	1	1	yes	characteristic
240	C₂×C₂²⋊Dic₁₃	C₂³	1	1	yes	characteristic
241	C₂×#6103	C₂³	1	1	yes	characteristic
242	C₂×#6103	C₂³	1	1	yes	characteristic
243	C₂×#6103	C₂³	1	1	yes	characteristic
244	C₂×#6103	C₂³	1	1	yes	characteristic
245	C₂×#6103	C₂³	1	1	yes	characteristic
246	C₂×#6103	C₂³	1	1	yes	characteristic
247	C₂×#6103	C₂³	1	1	yes	characteristic
248	C₂×#6103	C₂³	1	1	yes	characteristic
249	C₂×#6103	C₂³	1	1	yes	characteristic
250	C₂×#6103	C₂³	1	1	yes	characteristic
251	C₂×#6103	C₂³	1	1	yes	characteristic
252	C₂×#6103	C₂³	1	1	yes	characteristic
253	C₂×C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic
254	C₂×C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic
255	C₂×C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic
256	C₂×C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic
257	C₂×C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic
258	C₂×C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic
259	C₂×C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic
260	C₂×C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic
261	C₂×C₄⋊Dic₁₃	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×#6101	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	C₄⋊C₄×D₁₃	—	2	4	no	—
293	C₄⋊C₄×D₁₃	—	2	4	no	—
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	—	4	2	no	—
298	C₄⋊C₄×D₁₃	—	4	2	no	—
299	C₄⋊C₄×D₁₃	—	4	2	no	—
300	C₄⋊C₄×D₁₃	—	4	2	no	—
301	C₂²⋊C₄×D₁₃	—	2	4	no	—
302	C₂²⋊C₄×D₁₃	—	2	4	no	—
303	C₂²⋊C₄×D₁₃	—	4	2	no	—
304	C₂²⋊C₄×D₁₃	—	4	2	no	—
305	C₂²⋊C₄×D₁₃	—	4	2	no	—
306	C₂²⋊C₄×D₁₃	Q₈	1	8	yes	complemented
307	C₄²×D₁₃	—	2	4	no	—
308	C₄²×D₁₃	—	2	4	no	—
309	C₄²×D₁₃	—	4	2	no	—
310	C₄²×D₁₃	—	4	2	no	—
311	C₁₃×#95	C₂³	1	1	yes	characteristic
312	C₁₃×#95	C₂³	1	1	yes	characteristic
313	C₁₃×#95	C₂³	1	1	yes	characteristic
314	C₁₃×#95	C₂³	1	1	yes	characteristic
315	C₁₃×#95	C₂³	1	1	yes	characteristic
316	C₁₃×#95	C₂³	1	1	yes	characteristic
317	C₁₃×#95	C₂³	1	1	yes	characteristic
318	C₁₃×#95	C₂³	1	1	yes	characteristic
319	C₁₃×#95	C₂³	1	1	yes	characteristic
320	C₁₃×#95	C₂³	1	1	yes	characteristic
321	C₁₃×#95	C₂³	1	1	yes	characteristic
322	C₁₃×#95	C₂³	1	1	yes	characteristic
323	C₁₃×#95	C₂³	1	1	yes	characteristic
324	C₁₃×#95	C₂³	1	1	yes	characteristic
325	#88071	C₂³	1	1	yes	characteristic
326	#88071	C₂³	1	1	yes	characteristic
327	#88071	C₂³	1	1	yes	characteristic
328	#88071	C₂³	1	1	yes	characteristic
329	#88071	C₂³	1	1	yes	characteristic
330	#88071	C₂³	1	1	yes	characteristic
331	#88071	C₂³	1	1	yes	characteristic
332	#88071	C₂³	1	1	yes	characteristic
333	#88071	C₂³	1	1	yes	characteristic
334	#88071	C₂³	1	1	yes	characteristic
335	#88071	C₂³	1	1	yes	characteristic
336	#88071	C₂³	1	1	yes	characteristic
337	#88071	C₂³	1	1	yes	characteristic
338	#88071	C₂³	1	1	yes	characteristic
339	#88071	C₂³	1	1	yes	characteristic
340	#88071	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	C₂×#2574	—	13	1	no	maximal, Sylow
368	C₂⁴×C₁₃	C₂⁴	1	1	yes	characteristic
369	C₂³×D₁₃	—	2	2	no	—
370	C₂³×D₁₃	—	2	2	no	—
371	C₂³×D₁₃	—	2	2	no	—
372	C₂³×D₁₃	—	2	2	no	—
373	C₂³×D₁₃	—	2	2	no	—
374	C₂³×D₁₃	—	2	2	no	—
375	C₂³×D₁₃	C₂×Q₈	1	4	yes	—
376	C₂³×D₁₃	C₂⁴	1	1	yes	characteristic
377	C₂³×D₁₃	C₂⁴	1	1	yes	characteristic
378	C₂×Q₈×C₁₃	—	2	2	no	—
379	C₂×Q₈×C₁₃	—	4	1	no	—
380	C₂×Q₈×C₁₃	—	4	1	no	—
381	C₂²×C₄×C₁₃	—	2	2	no	—
382	C₂²×C₄×C₁₃	—	2	2	no	—
383	C₂²×C₄×C₁₃	—	4	1	no	—
384	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
385	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
386	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
387	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
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×Dic₁₃	—	2	2	no	—
399	C₂²×Dic₁₃	—	2	2	no	—
400	C₂²×Dic₁₃	—	4	1	no	—
401	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
402	C₂²×Dic₁₃	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	Q₈×D₁₃	—	4	16	no	—
416	C₂×C₄×D₁₃	—	2	2	no	—
417	C₂×C₄×D₁₃	—	2	2	no	—
418	C₂×C₄×D₁₃	—	2	2	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	—	2	2	no	—
456	C₂×C₄×D₁₃	—	4	16	no	—
457	C₂×C₄×D₁₃	—	4	1	no	—
458	C₂×C₄×D₁₃	—	4	1	no	—
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×C₄×D₁₃	#41	1	4	yes	—
465	C₂×Dic₂₆	—	2	2	no	—
466	C₂×Dic₂₆	—	2	2	no	—
467	C₂×Dic₂₆	—	2	2	no	—
468	C₂×Dic₂₆	—	4	1	no	—
469	C₂×Dic₂₆	—	4	1	no	—
470	C₂×Dic₂₆	—	4	1	no	—
471	C₂×Dic₂₆	—	4	1	no	—
472	C₂×Dic₂₆	—	4	1	no	—
473	C₂×Dic₂₆	—	4	1	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	—	4	1	no	—
480	C₁₃×C₄⋊C₄	—	4	1	no	—
481	C₁₃×C₄⋊C₄	—	4	1	no	—
482	C₁₃×C₄⋊C₄	—	4	1	no	—
483	C₁₃×C₂²⋊C₄	—	2	2	no	—
484	C₁₃×C₂²⋊C₄	—	2	2	no	—
485	C₁₃×C₂²⋊C₄	—	4	1	no	—
486	C₁₃×C₂²⋊C₄	—	4	1	no	—
487	C₁₃×C₂²⋊C₄	—	4	1	no	—
488	C₁₃×C₂²⋊C₄	C₂×Q₈	1	4	yes	complemented
489	C₄²×C₁₃	—	2	2	no	—
490	C₄²×C₁₃	—	2	2	no	—
491	C₄²×C₁₃	—	4	1	no	—
492	C₄²×C₁₃	—	4	1	no	—
493	C₂²⋊Dic₁₃	—	2	2	no	—
494	C₂²⋊Dic₁₃	—	2	2	no	—
495	C₂²⋊Dic₁₃	—	4	1	no	—
496	C₂²⋊Dic₁₃	—	4	1	no	—
497	C₂²⋊Dic₁₃	—	4	1	no	—
498	C₂²⋊Dic₁₃	C₂×Q₈	1	4	yes	complemented
499	#6103	—	2	2	no	—
500	#6103	—	2	2	no	—
501	#6103	—	2	2	no	—
502	#6103	—	2	2	no	—
503	#6103	—	4	1	no	—
504	#6103	—	4	1	no	—
505	#6103	—	4	1	no	—
506	#6103	—	4	1	no	—
507	#6103	—	4	1	no	—
508	#6103	—	4	1	no	—
509	#6103	C₂×Q₈	1	4	yes	complemented
510	#6103	C₂×Q₈	1	4	yes	complemented
511	C₄⋊Dic₁₃	—	2	2	no	—
512	C₄⋊Dic₁₃	—	2	2	no	—
513	C₄⋊Dic₁₃	—	2	2	no	—
514	C₄⋊Dic₁₃	—	2	2	no	—
515	C₄⋊Dic₁₃	—	2	2	no	—
516	C₄⋊Dic₁₃	—	4	1	no	—
517	C₄⋊Dic₁₃	—	4	1	no	—
518	C₄⋊Dic₁₃	—	4	1	no	—
519	C₄⋊Dic₁₃	—	4	1	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	—	4	1	no	—
531	#6101	—	4	1	no	—
532	#6101	—	4	1	no	—
533	#6101	—	4	1	no	—
534	#6101	—	4	1	no	—
535	#6101	—	4	1	no	—
536	#6101	—	4	1	no	—
537	#6101	—	4	1	no	—
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	—	4	1	no	—
545	C₄×Dic₁₃	—	4	1	no	—
546	C₄×Dic₁₃	—	4	1	no	—
547	C₄×Dic₁₃	—	4	1	no	—
548	C₄×Dic₁₃	—	4	1	no	—
549	C₄×Dic₁₃	—	4	1	no	—
550	#2574	—	13	1	no	—
551	#2574	—	13	1	no	—
552	#2574	—	13	1	no	—
553	#2574	—	13	1	no	—
554	#2574	—	13	1	no	—
555	#2574	—	13	1	no	—
556	#2574	—	13	1	no	—
557	#2574	—	13	1	no	—
558	#2574	—	13	1	no	—
559	#2574	—	13	1	no	—
560	#2574	—	13	1	no	—
561	#2574	—	13	1	no	—
562	#2574	—	13	1	no	—
563	#2574	—	13	1	no	—
564	#2574	—	13	1	no	—
565	#2574	D₁₃	1	1	yes	characteristic, direct product factor
566	C₂×#398	—	13	1	no	—
567	C₂×#396	—	13	1	no	—
568	C₂×#395	—	13	1	no	—
569	C₂×#393	—	13	1	no	—
570	C₂×#391	—	13	1	no	—
571	C₂×#388	—	13	1	no	—
572	C₂×#388	—	13	1	no	—
573	C₂×#387	—	13	1	no	—
574	C₂×#387	—	13	1	no	—
575	C₂×#387	—	13	1	no	—
576	C₂×#385	—	13	1	no	—
577	C₂×#382	—	13	1	no	—
578	C₂×#380	—	13	1	no	—
579	C₂×C₄×C₄⋊C₄	—	13	1	no	—
580	C₂×C₄×C₂²⋊C₄	—	13	1	no	—
581	C₂³×C₁₃	—	2	1	no	—
582	C₂³×C₁₃	—	2	1	no	—
583	C₂³×C₁₃	—	2	1	no	—
584	C₂³×C₁₃	—	2	1	no	—
585	C₂³×C₁₃	—	2	1	no	—
586	C₂³×C₁₃	—	2	1	no	—
587	C₂³×C₁₃	C₂²×Q₈	1	2	yes	—
588	C₂³×C₁₃	C₂⁵	1	1	yes	characteristic
589	C₂²×D₁₃	—	2	1	no	—
590	C₂²×D₁₃	—	2	1	no	—
591	C₂²×D₁₃	—	2	1	no	—
592	C₂²×D₁₃	—	2	1	no	—
593	C₂²×D₁₃	—	2	1	no	—
594	C₂²×D₁₃	—	2	1	no	—
595	C₂²×D₁₃	—	2	8	no	—
596	C₂²×D₁₃	—	2	8	no	—
597	C₂²×D₁₃	—	2	8	no	—
598	C₂²×D₁₃	—	4	4	no	—
599	C₂²×D₁₃	—	4	4	no	—
600	C₂²×D₁₃	—	4	4	no	—
601	C₂²×D₁₃	—	4	4	no	—
602	C₂²×D₁₃	C₂²×Q₈	1	2	yes	—
603	C₂²×D₁₃	C₂²×Q₈	1	2	yes	—
604	C₂²×D₁₃	C₂×#41	1	2	yes	—
605	C₂²×D₁₃	C₂×#41	1	2	yes	—
606	C₂²×D₁₃	C₂×#41	1	2	yes	—
607	C₂²×D₁₃	C₂×#41	1	2	yes	—
608	C₂²×D₁₃	H(5,𝔽₂)	1	2	yes	—
609	C₂²×D₁₃	H(5,𝔽₂)	1	2	yes	—
610	Q₈×C₁₃	—	4	4	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	—	2	1	no	—
630	C₂×C₄×C₁₃	—	2	1	no	—
631	C₂×C₄×C₁₃	—	2	1	no	—
632	C₂×C₄×C₁₃	—	2	1	no	—
633	C₂×C₄×C₁₃	—	2	1	no	—
634	C₂×C₄×C₁₃	—	2	1	no	—
635	C₂×C₄×C₁₃	—	2	1	no	—
636	C₂×C₄×C₁₃	—	2	1	no	—
637	C₂×C₄×C₁₃	—	2	1	no	—
638	C₂×C₄×C₁₃	—	2	1	no	—
639	C₂×C₄×C₁₃	—	2	1	no	—
640	C₂×C₄×C₁₃	—	2	1	no	—
641	C₂×C₄×C₁₃	—	2	1	no	—
642	C₂×C₄×C₁₃	—	2	1	no	—
643	C₂×C₄×C₁₃	—	2	1	no	—
644	C₂×C₄×C₁₃	—	2	1	no	—
645	C₂×C₄×C₁₃	—	2	1	no	—
646	C₂×C₄×C₁₃	—	2	1	no	—
647	C₂×C₄×C₁₃	—	4	4	no	—
648	C₂×C₄×C₁₃	C₂²×Q₈	1	2	yes	—
649	C₂×C₄×C₁₃	C₂²×Q₈	1	2	yes	—
650	C₂×C₄×C₁₃	C₂×#41	1	2	yes	—
651	C₂×C₄×C₁₃	C₂×#41	1	2	yes	—
652	C₂×C₄×C₁₃	C₂×#41	1	2	yes	—
653	C₂×C₄×C₁₃	C₂×#41	1	2	yes	—
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	—	2	1	no	—
675	C₂×Dic₁₃	—	2	1	no	—
676	C₂×Dic₁₃	—	2	1	no	—
677	C₂×Dic₁₃	—	2	1	no	—
678	C₂×Dic₁₃	—	2	1	no	—
679	C₂×Dic₁₃	—	2	1	no	—
680	C₂×Dic₁₃	—	2	1	no	—
681	C₂×Dic₁₃	—	2	1	no	—
682	C₂×Dic₁₃	—	2	1	no	—
683	C₂×Dic₁₃	—	2	1	no	—
684	C₂×Dic₁₃	—	2	1	no	—
685	C₂×Dic₁₃	—	2	1	no	—
686	C₂×Dic₁₃	—	2	1	no	—
687	C₂×Dic₁₃	—	2	1	no	—
688	C₂×Dic₁₃	—	2	1	no	—
689	C₂×Dic₁₃	—	2	1	no	—
690	C₂×Dic₁₃	—	4	4	no	—
691	C₂×Dic₁₃	C₂²×Q₈	1	2	yes	—
692	C₂×Dic₁₃	C₂²×Q₈	1	2	yes	—
693	C₂×Dic₁₃	C₂×#41	1	2	yes	—
694	C₂×Dic₁₃	C₂×#41	1	2	yes	—
695	C₂×Dic₁₃	C₂×#41	1	2	yes	—
696	C₂×Dic₁₃	C₂×#41	1	2	yes	—
697	C₄×D₁₃	—	2	8	no	—
698	C₄×D₁₃	—	2	8	no	—
699	C₄×D₁₃	—	2	8	no	—
700	C₄×D₁₃	—	2	8	no	—
701	C₄×D₁₃	—	2	8	no	—
702	C₄×D₁₃	—	2	8	no	—
703	C₄×D₁₃	—	4	4	no	—
704	C₄×D₁₃	—	4	4	no	—
705	C₄×D₁₃	—	4	4	no	—
706	C₄×D₁₃	—	4	4	no	—
707	C₄×D₁₃	—	4	4	no	—
708	C₄×D₁₃	—	4	4	no	—
709	C₄×D₁₃	—	4	4	no	—
710	C₄×D₁₃	—	4	4	no	—
711	C₄×D₁₃	—	4	4	no	—
712	C₄×D₁₃	—	4	4	no	—
713	Dic₂₆	—	4	4	no	—
714	Dic₂₆	—	4	4	no	—
715	Dic₂₆	—	4	4	no	—
716	C₂³×Q₈	—	13	1	no	—
717	C₂⁴×C₄	—	13	1	no	—
718	C₂²×C₄⋊C₄	—	13	1	no	—
719	C₂²×C₄⋊C₄	—	13	1	no	—
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×C₂²⋊C₄	—	13	1	no	—
728	C₂²×C₂²⋊C₄	—	13	1	no	—
729	C₂²×C₂²⋊C₄	—	13	1	no	—
730	C₂²×C₂²⋊C₄	—	13	1	no	—
731	C₂²×C₂²⋊C₄	—	13	1	no	—
732	C₂²×C₂²⋊C₄	—	13	1	no	—
733	C₂²×C₄²	—	13	1	no	—
734	C₂²×C₄²	—	13	1	no	—
735	C₂²×C₄²	—	13	1	no	—
736	C₂²×C₄²	—	13	1	no	—
737	#398	—	13	1	no	—
738	#398	—	13	1	no	—
739	#398	—	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	C₂×D₁₃	1	1	yes	characteristic, complemented
745	#396	—	13	1	no	—
746	#396	—	13	1	no	—
747	#396	—	13	1	no	—
748	#396	—	13	1	no	—
749	#396	—	13	1	no	—
750	#396	—	13	1	no	—
751	#396	—	13	1	no	—
752	#396	C₂×D₁₃	1	1	yes	characteristic
753	#395	—	13	1	no	—
754	#395	—	13	1	no	—
755	#395	—	13	1	no	—
756	#395	—	13	1	no	—
757	#395	—	13	1	no	—
758	#395	—	13	1	no	—
759	#395	—	13	1	no	—
760	#395	C₂×D₁₃	1	1	yes	characteristic, complemented
761	#393	—	13	1	no	—
762	#393	—	13	1	no	—
763	#393	—	13	1	no	—
764	#393	—	13	1	no	—
765	#393	—	13	1	no	—
766	#393	—	13	1	no	—
767	#393	—	13	1	no	—
768	#393	C₂×D₁₃	1	1	yes	characteristic
769	#391	—	13	1	no	—
770	#391	—	13	1	no	—
771	#391	—	13	1	no	—
772	#391	—	13	1	no	—
773	#391	—	13	1	no	—
774	#391	—	13	1	no	—
775	#391	—	13	1	no	—
776	#391	C₂×D₁₃	1	1	yes	characteristic, complemented
777	#388	—	13	1	no	—
778	#388	—	13	1	no	—
779	#388	—	13	1	no	—
780	#388	—	13	1	no	—
781	#388	—	13	1	no	—
782	#388	—	13	1	no	—
783	#388	—	13	1	no	—
784	#388	—	13	1	no	—
785	#388	—	13	1	no	—
786	#388	—	13	1	no	—
787	#388	—	13	1	no	—
788	#388	—	13	1	no	—
789	#388	—	13	1	no	—
790	#388	—	13	1	no	—
791	#388	C₂×D₁₃	1	1	yes	characteristic
792	#388	C₂×D₁₃	1	1	yes	characteristic
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	C₂×D₁₃	1	1	yes	characteristic, complemented
815	#387	C₂×D₁₃	1	1	yes	characteristic, complemented
816	#387	C₂×D₁₃	1	1	yes	characteristic, complemented
817	#385	—	13	1	no	—
818	#385	—	13	1	no	—
819	#385	—	13	1	no	—
820	#385	—	13	1	no	—
821	#385	—	13	1	no	—
822	#385	—	13	1	no	—
823	#385	—	13	1	no	—
824	#385	C₂×D₁₃	1	1	yes	characteristic
825	#382	—	13	1	no	—
826	#382	—	13	1	no	—
827	#382	—	13	1	no	—
828	#382	—	13	1	no	—
829	#382	—	13	1	no	—
830	#382	—	13	1	no	—
831	#382	—	13	1	no	—
832	#382	C₂×D₁₃	1	1	yes	characteristic, complemented
833	#380	—	13	1	no	—
834	#380	—	13	1	no	—
835	#380	—	13	1	no	—
836	#380	—	13	1	no	—
837	#380	—	13	1	no	—
838	#380	—	13	1	no	—
839	#380	—	13	1	no	—
840	#380	C₂×D₁₃	1	1	yes	characteristic
841	C₄×C₄⋊C₄	—	13	1	no	—
842	C₄×C₄⋊C₄	—	13	1	no	—
843	C₄×C₄⋊C₄	—	13	1	no	—
844	C₄×C₄⋊C₄	—	13	1	no	—
845	C₄×C₄⋊C₄	—	13	1	no	—
846	C₄×C₄⋊C₄	—	13	1	no	—
847	C₄×C₄⋊C₄	—	13	1	no	—
848	C₄×C₄⋊C₄	C₂×D₁₃	1	1	yes	characteristic, complemented
849	C₄×C₂²⋊C₄	—	13	1	no	—
850	C₄×C₂²⋊C₄	—	13	1	no	—
851	C₄×C₂²⋊C₄	—	13	1	no	—
852	C₄×C₂²⋊C₄	—	13	1	no	—
853	C₄×C₂²⋊C₄	—	13	1	no	—
854	C₄×C₂²⋊C₄	—	13	1	no	—
855	C₄×C₂²⋊C₄	—	13	1	no	—
856	C₄×C₂²⋊C₄	C₂×D₁₃	1	1	yes	characteristic
857	C₂×#95	—	13	1	no	—
858	C₂×#95	—	13	1	no	—
859	C₂×#95	—	13	1	no	—
860	C₂×#95	—	13	1	no	—
861	C₂×#95	—	13	1	no	—
862	C₂×#95	—	13	1	no	—
863	C₂×#95	—	13	1	no	—
864	C₂×#95	—	13	1	no	—
865	C₂×#95	—	13	1	no	—
866	C₂×#95	—	13	1	no	—
867	C₂×#95	—	13	1	no	—
868	C₂×#95	—	13	1	no	—
869	C₂×#95	—	13	1	no	—
870	C₂×#95	—	13	1	no	—
871	C₂²×C₁₃	—	2	2	no	—
872	C₂²×C₁₃	—	2	2	no	—
873	C₂²×C₁₃	—	2	2	no	—
874	C₂²×C₁₃	—	4	1	no	—
875	C₂²×C₁₃	—	4	1	no	—
876	C₂²×C₁₃	—	4	1	no	—
877	C₂²×C₁₃	—	4	1	no	—
878	C₂²×C₁₃	C₂³×Q₈	1	1	yes	characteristic
879	C₂²×C₁₃	C₂²×#41	1	1	yes	characteristic
880	C₂²×C₁₃	C₂²×#41	1	1	yes	characteristic
881	C₂²×C₁₃	C₂²×#41	1	1	yes	characteristic
882	C₂²×C₁₃	C₂²×#41	1	1	yes	characteristic
883	C₂²×C₁₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
884	C₂²×C₁₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
885	C₂×D₁₃	—	2	2	no	—
886	C₂×D₁₃	—	2	2	no	—
887	C₂×D₁₃	—	2	2	no	—
888	C₂×D₁₃	—	4	1	no	—
889	C₂×D₁₃	—	4	1	no	—
890	C₂×D₁₃	—	4	1	no	—
891	C₂×D₁₃	—	4	1	no	—
892	C₂×D₁₃	—	4	16	no	—
893	C₂×D₁₃	#529	1	4	yes	—
894	C₂×D₁₃	#533	1	4	yes	—
895	C₂×D₁₃	#538	1	4	yes	—
896	C₂×D₁₃	#551	1	4	yes	—
897	C₂×D₁₃	#554	1	4	yes	—
898	C₂×D₁₃	#554	1	4	yes	—
899	C₂×D₁₃	#555	1	4	yes	—
900	C₄×C₁₃	—	2	2	no	—
901	C₄×C₁₃	—	2	2	no	—
902	C₄×C₁₃	—	2	2	no	—
903	C₄×C₁₃	—	2	2	no	—
904	C₄×C₁₃	—	2	2	no	—
905	C₄×C₁₃	—	2	2	no	—
906	C₄×C₁₃	—	4	1	no	—
907	C₄×C₁₃	—	4	1	no	—
908	C₄×C₁₃	—	4	1	no	—
909	C₄×C₁₃	—	4	1	no	—
910	C₄×C₁₃	—	4	1	no	—
911	C₄×C₁₃	—	4	1	no	—
912	C₄×C₁₃	—	4	1	no	—
913	C₄×C₁₃	—	4	1	no	—
914	Dic₁₃	—	2	2	no	—
915	Dic₁₃	—	2	2	no	—
916	Dic₁₃	—	2	2	no	—
917	Dic₁₃	—	2	2	no	—
918	Dic₁₃	—	2	2	no	—
919	Dic₁₃	—	2	2	no	—
920	Dic₁₃	—	4	1	no	—
921	Dic₁₃	—	4	1	no	—
922	Dic₁₃	—	4	1	no	—
923	Dic₁₃	—	4	1	no	—
924	Dic₁₃	—	4	1	no	—
925	Dic₁₃	—	4	1	no	—
926	Dic₁₃	—	4	1	no	—
927	Dic₁₃	—	4	1	no	—
928	C₂⁵	—	13	1	no	—
929	C₂²×Q₈	—	13	1	no	—
930	C₂²×Q₈	—	13	1	no	—
931	C₂²×Q₈	—	13	1	no	—
932	C₂²×Q₈	—	26	4	no	—
933	C₂²×Q₈	—	52	2	no	—
934	C₂²×Q₈	—	52	2	no	—
935	C₂²×Q₈	C₂²×D₁₃	1	1	yes	characteristic
936	C₂³×C₄	—	13	1	no	—
937	C₂³×C₄	—	13	1	no	—
938	C₂³×C₄	—	13	1	no	—
939	C₂³×C₄	—	13	1	no	—
940	C₂³×C₄	—	13	1	no	—
941	C₂³×C₄	—	13	1	no	—
942	C₂³×C₄	—	13	1	no	—
943	C₂³×C₄	—	13	1	no	—
944	C₂³×C₄	—	13	1	no	—
945	C₂³×C₄	—	13	1	no	—
946	C₂³×C₄	—	13	1	no	—
947	C₂³×C₄	—	13	1	no	—
948	C₂³×C₄	—	13	1	no	—
949	C₂³×C₄	—	13	1	no	—
950	C₂³×C₄	—	13	1	no	—
951	C₂³×C₄	—	13	1	no	—
952	C₂³×C₄	—	13	1	no	—
953	C₂³×C₄	—	26	4	no	—
954	C₂³×C₄	—	26	4	no	—
955	C₂³×C₄	—	52	2	no	—
956	C₂³×C₄	C₂²×D₁₃	1	1	yes	characteristic
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	—	26	4	no	—
985	C₂×C₄⋊C₄	—	26	4	no	—
986	C₂×C₄⋊C₄	—	26	4	no	—
987	C₂×C₄⋊C₄	—	26	4	no	—
988	C₂×C₄⋊C₄	—	26	4	no	—
989	C₂×C₄⋊C₄	—	52	2	no	—
990	C₂×C₄⋊C₄	—	52	2	no	—
991	C₂×C₄⋊C₄	—	52	2	no	—
992	C₂×C₄⋊C₄	—	52	2	no	—
993	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
994	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
995	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
996	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
997	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
998	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
999	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1000	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1001	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1002	C₂×C₂²⋊C₄	—	13	1	no	—
1003	C₂×C₂²⋊C₄	—	13	1	no	—
1004	C₂×C₂²⋊C₄	—	13	1	no	—
1005	C₂×C₂²⋊C₄	—	13	8	no	—
1006	C₂×C₂²⋊C₄	—	13	1	no	—
1007	C₂×C₂²⋊C₄	—	13	1	no	—
1008	C₂×C₂²⋊C₄	—	13	1	no	—
1009	C₂×C₂²⋊C₄	—	13	1	no	—
1010	C₂×C₂²⋊C₄	—	13	1	no	—
1011	C₂×C₂²⋊C₄	—	13	1	no	—
1012	C₂×C₂²⋊C₄	—	13	1	no	—
1013	C₂×C₂²⋊C₄	—	13	1	no	—
1014	C₂×C₂²⋊C₄	—	13	1	no	—
1015	C₂×C₂²⋊C₄	—	13	1	no	—
1016	C₂×C₂²⋊C₄	—	13	1	no	—
1017	C₂×C₂²⋊C₄	—	13	1	no	—
1018	C₂×C₂²⋊C₄	—	13	1	no	—
1019	C₂×C₂²⋊C₄	—	13	1	no	—
1020	C₂×C₂²⋊C₄	—	13	1	no	—
1021	C₂×C₂²⋊C₄	—	26	4	no	—
1022	C₂×C₂²⋊C₄	—	26	4	no	—
1023	C₂×C₂²⋊C₄	—	52	2	no	—
1024	C₂×C₂²⋊C₄	—	52	2	no	—
1025	C₂×C₂²⋊C₄	—	52	2	no	—
1026	C₂×C₂²⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1027	C₂×C₂²⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1028	C₂×C₂²⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1029	C₂×C₂²⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1030	C₂×C₂²⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1031	C₂×C₂²⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1032	C₂×C₄²	—	13	1	no	—
1033	C₂×C₄²	—	13	1	no	—
1034	C₂×C₄²	—	13	1	no	—
1035	C₂×C₄²	—	13	1	no	—
1036	C₂×C₄²	—	13	1	no	—
1037	C₂×C₄²	—	13	1	no	—
1038	C₂×C₄²	—	13	1	no	—
1039	C₂×C₄²	—	13	1	no	—
1040	C₂×C₄²	—	13	1	no	—
1041	C₂×C₄²	—	13	1	no	—
1042	C₂×C₄²	—	13	1	no	—
1043	C₂×C₄²	—	13	1	no	—
1044	C₂×C₄²	—	26	4	no	—
1045	C₂×C₄²	—	26	4	no	—
1046	C₂×C₄²	—	52	2	no	—
1047	C₂×C₄²	—	52	2	no	—
1048	C₂×C₄²	C₂²×D₁₃	1	1	yes	characteristic
1049	C₂×C₄²	C₂²×D₁₃	1	1	yes	characteristic
1050	C₂×C₄²	C₂²×D₁₃	1	1	yes	characteristic
1051	C₂×C₄²	C₂²×D₁₃	1	1	yes	characteristic
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	—	13	1	no	—
1083	#95	—	13	1	no	—
1084	#95	—	13	1	no	—
1085	#95	—	13	1	no	—
1086	#95	—	13	1	no	—
1087	#95	—	13	1	no	—
1088	#95	—	13	1	no	—
1089	#95	—	13	1	no	—
1090	#95	—	13	1	no	—
1091	#95	—	13	1	no	—
1092	#95	—	13	1	no	—
1093	#95	—	13	1	no	—
1094	#95	C₂²×D₁₃	1	1	yes	characteristic
1095	#95	C₂²×D₁₃	1	1	yes	characteristic
1096	#95	C₂²×D₁₃	1	1	yes	characteristic
1097	#95	C₂²×D₁₃	1	1	yes	characteristic
1098	#95	C₂²×D₁₃	1	1	yes	characteristic
1099	#95	C₂²×D₁₃	1	1	yes	characteristic
1100	#95	C₂²×D₁₃	1	1	yes	characteristic
1101	#95	C₂²×D₁₃	1	1	yes	characteristic
1102	#95	C₂²×D₁₃	1	1	yes	characteristic
1103	#95	C₂²×D₁₃	1	1	yes	characteristic
1104	#95	C₂²×D₁₃	1	1	yes	characteristic
1105	#95	C₂²×D₁₃	1	1	yes	characteristic
1106	#95	C₂²×D₁₃	1	1	yes	characteristic
1107	#95	C₂²×D₁₃	1	1	yes	characteristic
1108	C₂×C₁₃	—	4	2	no	—
1109	C₂×C₁₃	C₂×#529	1	1	yes	characteristic
1110	C₂×C₁₃	C₂×#533	1	1	yes	characteristic
1111	C₂×C₁₃	C₂×#538	1	1	yes	characteristic
1112	C₂×C₁₃	C₂×#551	1	1	yes	characteristic
1113	C₂×C₁₃	C₂×#554	1	1	yes	characteristic
1114	C₂×C₁₃	C₂×#554	1	1	yes	characteristic
1115	C₂×C₁₃	C₂×#555	1	1	yes	characteristic
1116	D₁₃	—	4	2	no	—
1117	D₁₃	#2574	1	8	yes	direct product factor
1118	C₂⁴	—	13	1	no	—
1119	C₂⁴	—	13	4	no	—
1120	C₂⁴	—	13	1	no	—
1121	C₂⁴	—	26	2	no	—
1122	C₂⁴	—	26	2	no	—
1123	C₂⁴	—	26	2	no	—
1124	C₂⁴	—	26	2	no	—
1125	C₂⁴	—	26	2	no	—
1126	C₂⁴	—	26	2	no	—
1127	C₂⁴	C₂³×D₁₃	1	1	yes	characteristic
1128	C₂×Q₈	—	2	2	no	—
1129	C₂×Q₈	—	4	1	no	—
1130	C₂×Q₈	—	4	1	no	—
1131	C₂×Q₈	—	26	2	no	—
1132	C₂×Q₈	—	26	2	no	—
1133	C₂×Q₈	—	26	2	no	—
1134	C₂×Q₈	—	52	1	no	—
1135	C₂×Q₈	—	52	1	no	—
1136	C₂×Q₈	—	52	1	no	—
1137	C₂×Q₈	—	52	1	no	—
1138	C₂×Q₈	—	52	1	no	—
1139	C₂×Q₈	—	52	1	no	—
1140	C₂×Q₈	—	52	16	no	—
1141	C₂²×C₄	—	2	2	no	—
1142	C₂²×C₄	—	2	2	no	—
1143	C₂²×C₄	—	4	1	no	—
1144	C₂²×C₄	—	13	1	no	—
1145	C₂²×C₄	—	13	1	no	—
1146	C₂²×C₄	—	13	1	no	—
1147	C₂²×C₄	—	13	1	no	—
1148	C₂²×C₄	—	13	1	no	—
1149	C₂²×C₄	—	13	1	no	—
1150	C₂²×C₄	—	13	4	no	—
1151	C₂²×C₄	—	13	4	no	—
1152	C₂²×C₄	—	13	4	no	—
1153	C₂²×C₄	—	13	4	no	—
1154	C₂²×C₄	—	13	4	no	—
1155	C₂²×C₄	—	13	4	no	—
1156	C₂²×C₄	—	13	1	no	—
1157	C₂²×C₄	—	13	1	no	—
1158	C₂²×C₄	—	13	1	no	—
1159	C₂²×C₄	—	13	1	no	—
1160	C₂²×C₄	—	13	1	no	—
1161	C₂²×C₄	—	13	1	no	—
1162	C₂²×C₄	—	13	1	no	—
1163	C₂²×C₄	—	13	1	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	—	26	2	no	—
1179	C₂²×C₄	—	26	2	no	—
1180	C₂²×C₄	—	26	2	no	—
1181	C₂²×C₄	—	26	2	no	—
1182	C₂²×C₄	—	26	2	no	—
1183	C₂²×C₄	—	26	2	no	—
1184	C₂²×C₄	—	26	2	no	—
1185	C₂²×C₄	—	26	2	no	—
1186	C₂²×C₄	—	26	2	no	—
1187	C₂²×C₄	—	26	2	no	—
1188	C₂²×C₄	—	26	2	no	—
1189	C₂²×C₄	—	26	2	no	—
1190	C₂²×C₄	—	26	2	no	—
1191	C₂²×C₄	—	26	2	no	—
1192	C₂²×C₄	—	26	2	no	—
1193	C₂²×C₄	—	26	2	no	—
1194	C₂²×C₄	—	26	2	no	—
1195	C₂²×C₄	—	26	2	no	—
1196	C₂²×C₄	—	26	2	no	—
1197	C₂²×C₄	—	26	2	no	—
1198	C₂²×C₄	—	26	2	no	—
1199	C₂²×C₄	—	26	2	no	—
1200	C₂²×C₄	—	26	2	no	—
1201	C₂²×C₄	—	26	2	no	—
1202	C₂²×C₄	—	26	2	no	—
1203	C₂²×C₄	—	26	2	no	—
1204	C₂²×C₄	—	26	2	no	—
1205	C₂²×C₄	—	26	2	no	—
1206	C₂²×C₄	—	52	1	no	—
1207	C₂²×C₄	—	52	1	no	—
1208	C₂²×C₄	—	52	16	no	—
1209	C₂²×C₄	—	52	1	no	—
1210	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1211	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1212	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1213	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1214	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1215	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1216	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1217	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1218	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1219	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1220	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1221	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1222	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1223	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1224	C₄⋊C₄	—	2	2	no	—
1225	C₄⋊C₄	—	2	2	no	—
1226	C₄⋊C₄	—	2	2	no	—
1227	C₄⋊C₄	—	2	2	no	—
1228	C₄⋊C₄	—	2	2	no	—
1229	C₄⋊C₄	—	4	1	no	—
1230	C₄⋊C₄	—	4	1	no	—
1231	C₄⋊C₄	—	4	1	no	—
1232	C₄⋊C₄	—	4	1	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	—	52	1	no	—
1249	C₄⋊C₄	—	52	1	no	—
1250	C₄⋊C₄	—	52	1	no	—
1251	C₄⋊C₄	—	52	1	no	—
1252	C₄⋊C₄	—	52	1	no	—
1253	C₄⋊C₄	—	52	1	no	—
1254	C₄⋊C₄	—	52	1	no	—
1255	C₄⋊C₄	—	52	1	no	—
1256	C₄⋊C₄	—	52	1	no	—
1257	C₄⋊C₄	—	52	1	no	—
1258	C₄⋊C₄	—	52	1	no	—
1259	C₄⋊C₄	—	52	1	no	—
1260	C₂²⋊C₄	—	2	2	no	—
1261	C₂²⋊C₄	—	2	2	no	—
1262	C₂²⋊C₄	—	4	1	no	—
1263	C₂²⋊C₄	—	4	1	no	—
1264	C₂²⋊C₄	—	4	1	no	—
1265	C₂²⋊C₄	—	13	4	no	—
1266	C₂²⋊C₄	—	13	4	no	—
1267	C₂²⋊C₄	—	13	4	no	—
1268	C₂²⋊C₄	—	26	2	no	—
1269	C₂²⋊C₄	—	26	2	no	—
1270	C₂²⋊C₄	—	26	2	no	—
1271	C₂²⋊C₄	—	26	2	no	—
1272	C₂²⋊C₄	—	26	2	no	—
1273	C₂²⋊C₄	—	26	2	no	—
1274	C₂²⋊C₄	—	52	1	no	—
1275	C₂²⋊C₄	—	52	1	no	—
1276	C₂²⋊C₄	—	52	1	no	—
1277	C₂²⋊C₄	—	52	1	no	—
1278	C₂²⋊C₄	—	52	1	no	—
1279	C₂²⋊C₄	—	52	1	no	—
1280	C₂²⋊C₄	—	52	1	no	—
1281	C₂²⋊C₄	—	52	1	no	—
1282	C₂²⋊C₄	—	52	1	no	—
1283	C₂²⋊C₄	Q₈×D₁₃	1	4	yes	complemented
1284	C₄²	—	2	2	no	—
1285	C₄²	—	2	2	no	—
1286	C₄²	—	4	1	no	—
1287	C₄²	—	4	1	no	—
1288	C₄²	—	26	2	no	—
1289	C₄²	—	26	2	no	—
1290	C₄²	—	26	2	no	—
1291	C₄²	—	26	2	no	—
1292	C₄²	—	26	2	no	—
1293	C₄²	—	26	2	no	—
1294	C₄²	—	52	1	no	—
1295	C₄²	—	52	1	no	—
1296	C₄²	—	52	1	no	—
1297	C₄²	—	52	1	no	—
1298	C₄²	—	52	1	no	—
1299	C₄²	—	52	1	no	—
1300	C₁₃	C₂×#2574	1	1	yes	characteristic, complemented, Sylow
1301	C₂³	—	2	1	no	—
1302	C₂³	—	2	1	no	—
1303	C₂³	—	2	1	no	—
1304	C₂³	—	2	1	no	—
1305	C₂³	—	2	1	no	—
1306	C₂³	—	2	1	no	—
1307	C₂³	—	13	2	no	—
1308	C₂³	—	13	2	no	—
1309	C₂³	—	13	2	no	—
1310	C₂³	—	13	2	no	—
1311	C₂³	—	13	2	no	—
1312	C₂³	—	13	2	no	—
1313	C₂³	—	13	2	no	—
1314	C₂³	—	13	2	no	—
1315	C₂³	—	26	8	no	—
1316	C₂³	—	26	8	no	—
1317	C₂³	—	26	8	no	—
1318	C₂³	—	26	1	no	—
1319	C₂³	—	26	1	no	—
1320	C₂³	—	26	1	no	—
1321	C₂³	—	26	1	no	—
1322	C₂³	—	26	1	no	—
1323	C₂³	—	26	1	no	—
1324	C₂³	—	52	4	no	—
1325	C₂³	—	52	4	no	—
1326	C₂³	—	52	4	no	—
1327	C₂³	—	52	4	no	—
1328	C₂³	C₂×Q₈×D₁₃	1	2	yes	—
1329	C₂³	C₂⁴×D₁₃	1	1	yes	characteristic
1330	Q₈	—	4	4	no	—
1331	Q₈	—	52	4	no	—
1332	Q₈	—	52	4	no	—
1333	Q₈	—	52	4	no	—
1334	C₂×C₄	—	2	1	no	—
1335	C₂×C₄	—	2	1	no	—
1336	C₂×C₄	—	2	1	no	—
1337	C₂×C₄	—	2	1	no	—
1338	C₂×C₄	—	2	1	no	—
1339	C₂×C₄	—	2	1	no	—
1340	C₂×C₄	—	2	1	no	—
1341	C₂×C₄	—	2	1	no	—
1342	C₂×C₄	—	2	1	no	—
1343	C₂×C₄	—	2	1	no	—
1344	C₂×C₄	—	2	1	no	—
1345	C₂×C₄	—	2	1	no	—
1346	C₂×C₄	—	2	1	no	—
1347	C₂×C₄	—	2	1	no	—
1348	C₂×C₄	—	2	1	no	—
1349	C₂×C₄	—	2	1	no	—
1350	C₂×C₄	—	2	1	no	—
1351	C₂×C₄	—	2	1	no	—
1352	C₂×C₄	—	2	1	no	—
1353	C₂×C₄	—	2	1	no	—
1354	C₂×C₄	—	2	1	no	—
1355	C₂×C₄	—	2	1	no	—
1356	C₂×C₄	—	2	1	no	—
1357	C₂×C₄	—	2	1	no	—
1358	C₂×C₄	—	2	1	no	—
1359	C₂×C₄	—	2	1	no	—
1360	C₂×C₄	—	2	1	no	—
1361	C₂×C₄	—	2	1	no	—
1362	C₂×C₄	—	2	1	no	—
1363	C₂×C₄	—	2	1	no	—
1364	C₂×C₄	—	2	1	no	—
1365	C₂×C₄	—	2	1	no	—
1366	C₂×C₄	—	2	1	no	—
1367	C₂×C₄	—	2	1	no	—
1368	C₂×C₄	—	2	1	no	—
1369	C₂×C₄	—	2	1	no	—
1370	C₂×C₄	—	4	4	no	—
1371	C₂×C₄	—	13	2	no	—
1372	C₂×C₄	—	13	2	no	—
1373	C₂×C₄	—	13	2	no	—
1374	C₂×C₄	—	13	2	no	—
1375	C₂×C₄	—	13	2	no	—
1376	C₂×C₄	—	13	2	no	—
1377	C₂×C₄	—	26	8	no	—
1378	C₂×C₄	—	26	8	no	—
1379	C₂×C₄	—	26	8	no	—
1380	C₂×C₄	—	26	8	no	—
1381	C₂×C₄	—	26	8	no	—
1382	C₂×C₄	—	26	8	no	—
1383	C₂×C₄	—	26	1	no	—
1384	C₂×C₄	—	26	1	no	—
1385	C₂×C₄	—	26	1	no	—
1386	C₂×C₄	—	26	1	no	—
1387	C₂×C₄	—	26	1	no	—
1388	C₂×C₄	—	26	1	no	—
1389	C₂×C₄	—	26	1	no	—
1390	C₂×C₄	—	26	1	no	—
1391	C₂×C₄	—	26	1	no	—
1392	C₂×C₄	—	26	1	no	—
1393	C₂×C₄	—	26	1	no	—
1394	C₂×C₄	—	26	1	no	—
1395	C₂×C₄	—	26	1	no	—
1396	C₂×C₄	—	26	1	no	—
1397	C₂×C₄	—	26	1	no	—
1398	C₂×C₄	—	26	1	no	—
1399	C₂×C₄	—	26	1	no	—
1400	C₂×C₄	—	26	1	no	—
1401	C₂×C₄	—	26	1	no	—
1402	C₂×C₄	—	26	1	no	—
1403	C₂×C₄	—	26	1	no	—
1404	C₂×C₄	—	26	1	no	—
1405	C₂×C₄	—	26	1	no	—
1406	C₂×C₄	—	26	1	no	—
1407	C₂×C₄	—	26	1	no	—
1408	C₂×C₄	—	26	1	no	—
1409	C₂×C₄	—	26	1	no	—
1410	C₂×C₄	—	26	1	no	—
1411	C₂×C₄	—	26	1	no	—
1412	C₂×C₄	—	26	1	no	—
1413	C₂×C₄	—	26	1	no	—
1414	C₂×C₄	—	26	1	no	—
1415	C₂×C₄	—	26	1	no	—
1416	C₂×C₄	—	26	1	no	—
1417	C₂×C₄	—	26	1	no	—
1418	C₂×C₄	—	26	1	no	—
1419	C₂×C₄	—	52	4	no	—
1420	C₂×C₄	—	52	4	no	—
1421	C₂×C₄	—	52	4	no	—
1422	C₂×C₄	—	52	4	no	—
1423	C₂×C₄	—	52	4	no	—
1424	C₂×C₄	—	52	4	no	—
1425	C₂×C₄	—	52	4	no	—
1426	C₂×C₄	—	52	4	no	—
1427	C₂×C₄	—	52	4	no	—
1428	C₂×C₄	—	52	4	no	—
1429	C₂×C₄	—	52	4	no	—
1430	C₂×C₄	C₂×Q₈×D₁₃	1	2	yes	—
1431	C₂×C₄	C₂×Q₈×D₁₃	1	2	yes	—
1432	C₂×C₄	#41×D₁₃	1	2	yes	—
1433	C₂×C₄	#41×D₁₃	1	2	yes	—
1434	C₂×C₄	#41×D₁₃	1	2	yes	—
1435	C₂×C₄	#41×D₁₃	1	2	yes	—
1436	C₂²	—	2	2	no	—
1437	C₂²	—	2	2	no	—
1438	C₂²	—	2	2	no	—
1439	C₂²	—	4	1	no	—
1440	C₂²	—	4	1	no	—
1441	C₂²	—	4	1	no	—
1442	C₂²	—	4	1	no	—
1443	C₂²	—	13	4	no	—
1444	C₂²	—	13	4	no	—
1445	C₂²	—	13	4	no	—
1446	C₂²	—	13	4	no	—
1447	C₂²	—	13	4	no	—
1448	C₂²	—	13	4	no	—
1449	C₂²	—	13	4	no	—
1450	C₂²	—	26	2	no	—
1451	C₂²	—	26	2	no	—
1452	C₂²	—	26	2	no	—
1453	C₂²	—	52	16	no	—
1454	C₂²	—	52	1	no	—
1455	C₂²	—	52	1	no	—
1456	C₂²	—	52	1	no	—
1457	C₂²	—	52	1	no	—
1458	C₂²	C₂²×Q₈×D₁₃	1	1	yes	characteristic
1459	C₂²	C₂×#41×D₁₃	1	1	yes	characteristic
1460	C₂²	C₂×#41×D₁₃	1	1	yes	characteristic
1461	C₂²	C₂×#41×D₁₃	1	1	yes	characteristic
1462	C₂²	C₂×#41×D₁₃	1	1	yes	characteristic
1463	C₂²	D₁₃×H(5,𝔽₂)	1	1	yes	characteristic
1464	C₂²	D₁₃×H(5,𝔽₂)	1	1	yes	characteristic
1465	C₄	—	2	2	no	—
1466	C₄	—	2	2	no	—
1467	C₄	—	2	2	no	—
1468	C₄	—	2	2	no	—
1469	C₄	—	2	2	no	—
1470	C₄	—	2	2	no	—
1471	C₄	—	4	1	no	—
1472	C₄	—	4	1	no	—
1473	C₄	—	4	1	no	—
1474	C₄	—	4	1	no	—
1475	C₄	—	4	1	no	—
1476	C₄	—	4	1	no	—
1477	C₄	—	4	1	no	—
1478	C₄	—	4	1	no	—
1479	C₄	—	26	2	no	—
1480	C₄	—	26	2	no	—
1481	C₄	—	26	2	no	—
1482	C₄	—	26	2	no	—
1483	C₄	—	26	2	no	—
1484	C₄	—	26	2	no	—
1485	C₄	—	52	1	no	—
1486	C₄	—	52	1	no	—
1487	C₄	—	52	1	no	—
1488	C₄	—	52	1	no	—
1489	C₄	—	52	1	no	—
1490	C₄	—	52	1	no	—
1491	C₄	—	52	1	no	—
1492	C₄	—	52	1	no	—
1493	C₂	—	4	2	no	—
1494	C₂	—	13	8	no	—
1495	C₂	—	52	2	no	—
1496	C₂	D₁₃×#529	1	1	yes	characteristic
1497	C₂	D₁₃×#533	1	1	yes	characteristic
1498	C₂	D₁₃×#538	1	1	yes	characteristic
1499	C₂	D₁₃×#551	1	1	yes	characteristic
1500	C₂	D₁₃×#554	1	1	yes	characteristic
1501	C₂	D₁₃×#554	1	1	yes	characteristic
1502	C₂	D₁₃×#555	1	1	yes	characteristic

	subgroup	G/H
center, Frattini	C₂³	C₂⁴×D₁₃
commutator, socle, cosocle	C₂³×C₁₃	C₂⁵
Fitting	C₁₃×#2574	C₂
prime radical	C₂⁴×D₁₃	C₂³
hypercenter	#2574	D₁₃
hypocenter	C₁₃	C₂×#2574
LCS	G ▷ C₂³×C₁₃ ▷ C₁₃
UCS	C₁ ◁ C₂³ ◁ #2574

Complements

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

N	H ≅ G/N	type
1. #13120117	C₂	semidirect
2. #13120116	C₂	semidirect
3. #13120115	C₂	semidirect
4. #13120114	C₂	semidirect
5. #13120113	C₂	semidirect
6. #13120112	C₂	semidirect
7. #13120111	C₂	semidirect
8. #13120110	C₂	semidirect
9. #13120109	C₂	semidirect
10. #13120108	C₂	semidirect
11. #13120107	C₂	semidirect
12. #13120106	C₂	semidirect
13. #13120105	C₂	semidirect
14. #13120104	C₂	semidirect
15. #13120103	C₂	semidirect
16. D₁₃×#398	C₂	semidirect
18. D₁₃×#395	C₂	semidirect
20. D₁₃×#391	C₂	semidirect
23. D₁₃×#387	C₂	semidirect
24. D₁₃×#387	C₂	semidirect
25. D₁₃×#387	C₂	semidirect
27. D₁₃×#382	C₂	semidirect
29. C₄×C₄⋊C₄×D₁₃	C₂	semidirect
31. C₁₃×#2574	C₂	semidirect
53. C₁₃×#398	C₂²	semidirect
55. C₁₃×#395	C₂²	semidirect
57. C₁₃×#391	C₂²	semidirect
60. C₁₃×#387	C₂²	semidirect
61. C₁₃×#387	C₂²	semidirect
62. C₁₃×#387	C₂²	semidirect
64. C₁₃×#382	C₂²	semidirect
66. C₄×C₁₃×C₄⋊C₄	C₂²	semidirect
69. #11718891	C₂²	semidirect
70. #11718890	C₂²	semidirect
83. #11718645	C₂²	semidirect
84. #11718645	C₂²	semidirect
85. #11718644	C₂²	semidirect
86. #11718642	C₂²	semidirect
87. #11718642	C₂²	semidirect
88. #11718642	C₂²	semidirect
89. #11718641	C₂²	semidirect
90. #11718640	C₂²	semidirect
91. #11718640	C₂²	semidirect
92. #11718640	C₂²	semidirect
93. #11718639	C₂²	semidirect
94. #11718639	C₂²	semidirect
95. #11718639	C₂²	semidirect
96. #11718638	C₂²	semidirect
97. #11718638	C₂²	semidirect
98. C₄⋊C₄×Dic₁₃	C₂²	semidirect
99. C₄⋊C₄×Dic₁₃	C₂²	semidirect
100. #11718635	C₂²	semidirect
123. #11718597	C₂²	semidirect
124. C₄×C₄⋊Dic₁₃	C₂²	semidirect
125. #11718594	C₂²	semidirect
126. #11718594	C₂²	semidirect
127. #11718594	C₂²	semidirect
128. C₄×#6101	C₂²	semidirect
129. C₄×#6101	C₂²	semidirect
130. #11718590	C₂²	semidirect
159. #11718322	C₂²	semidirect
160. #11718318	C₂²	semidirect
161. #11718318	C₂²	semidirect
162. #11718317	C₂²	semidirect
163. #11718317	C₂²	semidirect
164. #11718317	C₂²	semidirect
165. #11718316	C₂²	semidirect
166. #11718316	C₂²	semidirect
167. #11718316	C₂²	semidirect
168. #11718315	C₂²	semidirect
169. #11718315	C₂²	semidirect
170. #11718315	C₂²	semidirect
171. #11718314	C₂²	semidirect
172. #11718314	C₂²	semidirect
173. #11718314	C₂²	semidirect
174. #11718313	C₂²	semidirect
175. #11718313	C₂²	semidirect
176. #11718313	C₂²	semidirect
177. #11718311	C₂²	semidirect
178. #11718311	C₂²	semidirect
179. #11718311	C₂²	semidirect
180. #11718311	C₂²	semidirect
181. #11718310	C₂²	semidirect
182. #11718310	C₂²	semidirect
183. #11718307	C₂²	semidirect
184. #11718307	C₂²	semidirect
185. #11718307	C₂²	semidirect
186. #11718307	C₂²	semidirect
306. C₂²⋊C₄×D₁₃	Q₈	semidirect
488. C₁₃×C₂²⋊C₄	C₂×Q₈	semidirect
498. C₂²⋊Dic₁₃	C₂×Q₈	semidirect
509. #6103	C₂×Q₈	semidirect
510. #6103	C₂×Q₈	semidirect
565. #2574	D₁₃	direct (N × H)
744. #398	C₂×D₁₃	semidirect
760. #395	C₂×D₁₃	semidirect
776. #391	C₂×D₁₃	semidirect
814. #387	C₂×D₁₃	semidirect
815. #387	C₂×D₁₃	semidirect
816. #387	C₂×D₁₃	semidirect
832. #382	C₂×D₁₃	semidirect
848. C₄×C₄⋊C₄	C₂×D₁₃	semidirect
1117. D₁₃	#2574	direct (N × H)
1283. C₂²⋊C₄	Q₈×D₁₃	semidirect
1300. C₁₃	C₂×#2574	semidirect

Maximal subgroups

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

subgroup	index
#13120117	2
#13120116	2
#13120115	2
#13120114	2
#13120113	2
#13120112	2
#13120111	2
#13120110	2
#13120109	2
#13120108	2
#13120107	2
#13120106	2
#13120105	2
#13120104	2
#13120103	2
D₁₃×#398	2
D₁₃×#396	2
D₁₃×#395	2
D₁₃×#393	2
D₁₃×#391	2
D₁₃×#388	2
D₁₃×#387	2
D₁₃×#385	2
D₁₃×#382	2
D₁₃×#380	2
C₄×C₄⋊C₄×D₁₃	2
C₄×C₂²⋊C₄×D₁₃	2
C₁₃×#2574	2
C₂×#2574	13

Subgroups — D13×#2574 #16033152

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — D₁₃×#2574 #16033152