Subgroups — C₁₃×#34442 #15720781

Order 3328.

2290 conjugacy classes of subgroups.

The subgroup lattice has 1564 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×C₁₃×#540	C₂	1	1	yes	maximal, characteristic
2	C₁₃×#2380	C₂	1	1	yes	maximal, characteristic, complemented
3	C₁₃×#2377	C₂	1	1	yes	maximal, characteristic, complemented
4	C₁₃×#2377	C₂	1	1	yes	maximal, characteristic, complemented
5	C₁₃×#2376	C₂	1	1	yes	maximal, characteristic, complemented
6	C₁₃×#2374	C₂	1	1	yes	maximal, characteristic, complemented
7	C₁₃×#2366	C₂	1	1	yes	maximal, characteristic, complemented
8	C₁₃×#2364	C₂	1	1	yes	maximal, characteristic, complemented
9	C₁₃×#2364	C₂	1	1	yes	maximal, characteristic, complemented
10	C₁₃×#2363	C₂	1	1	yes	maximal, characteristic, complemented
11	C₁₃×#2361	C₂	1	1	yes	maximal, characteristic, complemented
12	C₁₃×#2359	C₂	1	1	yes	maximal, characteristic, complemented
13	C₁₃×#2359	C₂	1	1	yes	maximal, characteristic, complemented
14	C₁₃×#2353	C₂	1	1	yes	maximal, characteristic, complemented
15	C₁₃×#2352	C₂	1	1	yes	maximal, characteristic, complemented
16	C₁₃×#2347	C₂	1	1	yes	maximal, characteristic, complemented
17	C₁₃×#2343	C₂	1	1	yes	maximal, characteristic, complemented
18	C₁₃×#2336	C₂	1	1	yes	maximal, characteristic, complemented
19	C₁₃×#2336	C₂	1	1	yes	maximal, characteristic, complemented
20	C₁₃×#2335	C₂	1	1	yes	maximal, characteristic, complemented
21	C₁₃×#2335	C₂	1	1	yes	maximal, characteristic, complemented
22	C₁₃×#2333	C₂	1	1	yes	maximal, characteristic, complemented
23	C₁₃×#2333	C₂	1	1	yes	maximal, characteristic, complemented
24	C₁₃×#2325	C₂	1	1	yes	maximal, characteristic, complemented
25	C₁₃×#2325	C₂	1	1	yes	maximal, characteristic, complemented
26	C₁₃×#2324	C₂	1	1	yes	maximal, characteristic, complemented
27	C₁₃×#2322	C₂	1	1	yes	maximal, characteristic, complemented
28	C₁₃×#2318	C₂	1	1	yes	maximal, characteristic, complemented
29	C₄×C₁₃×#123	C₂	1	1	yes	maximal, characteristic, complemented
30	C₄×C₁₃×#121	C₂	1	1	yes	maximal, characteristic, complemented
31	C₁₃×#2290	C₂	1	1	yes	maximal, characteristic, complemented
32	C₁₃×#540	C₄	1	16	yes	complemented
33	C₂×C₁₃×#127	C₂²	1	1	yes	characteristic
34	C₂×C₁₃×#125	C₂²	1	1	yes	characteristic
35	C₂×C₁₃×#123	C₂²	1	1	yes	characteristic
36	C₂×C₁₃×#123	C₂²	1	1	yes	characteristic
37	C₂×C₁₃×#123	C₂²	1	1	yes	characteristic
38	C₂×C₁₃×#123	C₂²	1	1	yes	characteristic
39	C₂×C₁₃×#121	C₂²	1	1	yes	characteristic
40	C₂×C₁₃×#121	C₂²	1	1	yes	characteristic
41	C₂×C₁₃×#121	C₂²	1	1	yes	characteristic
42	C₂×C₁₃×#121	C₂²	1	1	yes	characteristic
43	C₂×C₁₃×#121	C₂²	1	1	yes	characteristic
44	C₂×C₁₃×#121	C₂²	1	1	yes	characteristic
45	C₂×C₄×D₄×C₁₃	C₂²	1	1	yes	characteristic
46	C₂×C₄×D₄×C₁₃	C₂²	1	1	yes	characteristic
47	C₂×C₄×D₄×C₁₃	C₂²	1	1	yes	characteristic
48	C₂×C₄×D₄×C₁₃	C₂²	1	1	yes	characteristic
49	C₂×C₄×D₄×C₁₃	C₂²	1	1	yes	characteristic
50	C₂×C₄×D₄×C₁₃	C₂²	1	1	yes	characteristic
51	C₂×C₄×D₄×C₁₃	C₂²	1	1	yes	characteristic
52	C₂×C₄×D₄×C₁₃	C₂²	1	1	yes	characteristic
53	C₂×C₄×D₄×C₁₃	C₂²	1	1	yes	characteristic
54	C₂×C₄×D₄×C₁₃	C₂²	1	1	yes	characteristic
55	C₂×C₁₃×#117	C₂²	1	1	yes	characteristic
56	C₂×C₁₃×#117	C₂²	1	1	yes	characteristic
57	C₂×C₁₃×#117	C₂²	1	1	yes	characteristic
58	C₂²×C₁₃×C₄⋊C₄	C₂²	1	1	yes	characteristic
59	C₂²×C₄²×C₁₃	C₂²	1	1	yes	characteristic
60	C₁₃×#390	C₂²	1	1	yes	characteristic
61	C₁₃×#390	C₂²	1	1	yes	characteristic
62	C₁₃×#390	C₂²	1	1	yes	characteristic
63	C₁₃×#390	C₂²	1	1	yes	characteristic
64	C₁₃×#390	C₂²	1	1	yes	characteristic
65	C₁₃×#390	C₂²	1	1	yes	characteristic
66	C₁₃×#390	C₂²	1	1	yes	characteristic
67	C₁₃×#390	C₂²	1	1	yes	characteristic
68	C₁₃×#389	C₂²	1	1	yes	characteristic
69	C₁₃×#389	C₂²	1	1	yes	characteristic
70	C₁₃×#389	C₂²	1	1	yes	characteristic
71	C₁₃×#389	C₂²	1	1	yes	characteristic
72	C₁₃×#389	C₂²	1	1	yes	characteristic
73	C₁₃×#389	C₂²	1	1	yes	characteristic
74	C₁₃×#388	C₂²	1	1	yes	characteristic
75	C₁₃×#388	C₂²	1	1	yes	characteristic
76	C₁₃×#388	C₂²	1	1	yes	characteristic
77	C₁₃×#388	C₂²	1	1	yes	characteristic
78	C₁₃×#388	C₂²	1	1	yes	characteristic
79	C₁₃×#388	C₂²	1	1	yes	characteristic
80	C₁₃×#388	C₂²	1	1	yes	characteristic
81	C₁₃×#388	C₂²	1	1	yes	characteristic
82	C₁₃×#388	C₂²	1	1	yes	characteristic
83	C₁₃×#388	C₂²	1	1	yes	characteristic
84	C₁₃×#388	C₂²	1	1	yes	characteristic
85	C₁₃×#388	C₂²	1	1	yes	characteristic
86	C₁₃×#388	C₂²	1	1	yes	characteristic
87	C₁₃×#388	C₂²	1	1	yes	characteristic
88	C₁₃×#388	C₂²	1	1	yes	characteristic
89	C₁₃×#388	C₂²	1	1	yes	characteristic
90	C₁₃×#388	C₂²	1	1	yes	characteristic
91	C₁₃×#388	C₂²	1	1	yes	characteristic
92	C₁₃×#388	C₂²	1	1	yes	characteristic
93	C₁₃×#388	C₂²	1	1	yes	characteristic
94	C₁₃×#387	C₂²	1	1	yes	characteristic
95	C₁₃×#387	C₂²	1	1	yes	characteristic
96	C₁₃×#387	C₂²	1	1	yes	characteristic
97	C₁₃×#387	C₂²	1	1	yes	characteristic
98	C₁₃×#387	C₂²	1	1	yes	characteristic
99	C₁₃×#387	C₂²	1	1	yes	characteristic
100	C₁₃×#387	C₂²	1	1	yes	characteristic
101	C₁₃×#387	C₂²	1	1	yes	characteristic
102	C₁₃×#387	C₂²	1	1	yes	characteristic
103	C₁₃×#387	C₂²	1	1	yes	characteristic
104	C₁₃×#387	C₂²	1	1	yes	characteristic
105	C₁₃×#387	C₂²	1	1	yes	characteristic
106	C₁₃×#387	C₂²	1	1	yes	characteristic
107	C₁₃×#387	C₂²	1	1	yes	characteristic
108	C₁₃×#387	C₂²	1	1	yes	characteristic
109	C₁₃×#387	C₂²	1	1	yes	characteristic
110	C₁₃×#387	C₂²	1	1	yes	characteristic
111	C₁₃×#387	C₂²	1	1	yes	characteristic
112	C₁₃×#387	C₂²	1	1	yes	characteristic
113	C₁₃×#387	C₂²	1	1	yes	characteristic
114	C₁₃×#386	C₂²	1	1	yes	characteristic
115	C₁₃×#386	C₂²	1	1	yes	characteristic
116	C₁₃×#386	C₂²	1	1	yes	characteristic
117	C₁₃×#386	C₂²	1	1	yes	characteristic
118	C₁₃×#386	C₂²	1	1	yes	characteristic
119	C₁₃×#386	C₂²	1	1	yes	characteristic
120	C₁₃×#386	C₂²	1	1	yes	characteristic
121	C₁₃×#386	C₂²	1	1	yes	characteristic
122	C₁₃×#386	C₂²	1	1	yes	characteristic
123	C₁₃×#386	C₂²	1	1	yes	characteristic
124	C₁₃×#386	C₂²	1	1	yes	characteristic
125	C₁₃×#386	C₂²	1	1	yes	characteristic
126	C₁₃×#386	C₂²	1	1	yes	characteristic
127	C₁₃×#386	C₂²	1	1	yes	characteristic
128	C₁₃×#386	C₂²	1	1	yes	characteristic
129	C₁₃×#386	C₂²	1	1	yes	characteristic
130	C₁₃×#386	C₂²	1	1	yes	characteristic
131	C₁₃×#386	C₂²	1	1	yes	characteristic
132	C₁₃×#386	C₂²	1	1	yes	characteristic
133	C₁₃×#386	C₂²	1	1	yes	characteristic
134	C₁₃×#386	C₂²	1	1	yes	characteristic
135	C₁₃×#386	C₂²	1	1	yes	characteristic
136	C₁₃×#386	C₂²	1	1	yes	characteristic
137	C₁₃×#386	C₂²	1	1	yes	characteristic
138	C₁₃×#385	C₂²	1	1	yes	characteristic
139	C₁₃×#385	C₂²	1	1	yes	characteristic
140	C₁₃×#385	C₂²	1	1	yes	characteristic
141	C₁₃×#385	C₂²	1	1	yes	characteristic
142	C₁₃×#385	C₂²	1	1	yes	characteristic
143	C₁₃×#385	C₂²	1	1	yes	characteristic
144	C₁₃×#385	C₂²	1	1	yes	characteristic
145	C₁₃×#385	C₂²	1	1	yes	characteristic
146	C₁₃×#385	C₂²	1	1	yes	characteristic
147	C₁₃×#385	C₂²	1	1	yes	characteristic
148	C₁₃×#383	C₂²	1	1	yes	characteristic
149	C₁₃×#383	C₂²	1	1	yes	characteristic
150	C₁₃×#383	C₂²	1	1	yes	characteristic
151	C₁₃×#382	C₂²	1	1	yes	characteristic
152	C₁₃×#381	C₂²	1	1	yes	characteristic
153	C₁₃×#381	C₂²	1	1	yes	characteristic
154	C₁₃×#381	C₂²	1	1	yes	characteristic
155	C₁₃×#380	C₂²	1	1	yes	characteristic
156	C₁₃×#380	C₂²	1	1	yes	characteristic
157	C₁₃×#380	C₂²	1	1	yes	characteristic
158	C₁₃×#380	C₂²	1	1	yes	characteristic
159	C₁₃×#380	C₂²	1	1	yes	characteristic
160	C₄×C₁₃×C₄⋊C₄	C₂²	1	1	yes	characteristic
161	C₄×C₁₃×C₄⋊C₄	C₂²	1	1	yes	characteristic
162	C₄×C₁₃×C₄⋊C₄	C₂²	1	1	yes	characteristic
163	C₄×C₁₃×C₄⋊C₄	C₂²	1	1	yes	characteristic
164	C₄×C₁₃×C₄⋊C₄	C₂²	1	1	yes	characteristic
165	C₄×C₁₃×C₄⋊C₄	C₂²	1	1	yes	characteristic
166	C₄×C₁₃×C₄⋊C₄	C₂²	1	1	yes	characteristic
167	C₄×C₁₃×C₄⋊C₄	C₂²	1	1	yes	characteristic
168	C₄×C₁₃×C₄⋊C₄	C₂²	1	1	yes	characteristic
169	C₄×C₁₃×C₂²⋊C₄	C₂²	1	1	yes	characteristic
170	C₄×C₁₃×C₂²⋊C₄	C₂²	1	1	yes	characteristic
171	C₄×C₁₃×C₂²⋊C₄	C₂²	1	1	yes	characteristic
172	C₄×C₁₃×C₂²⋊C₄	C₂²	1	1	yes	characteristic
173	C₄×C₁₃×C₂²⋊C₄	C₂²	1	1	yes	characteristic
174	C₄×C₁₃×C₂²⋊C₄	C₂²	1	1	yes	characteristic
175	C₄×C₁₃×C₂²⋊C₄	C₂²	1	1	yes	characteristic
176	C₄×C₁₃×C₂²⋊C₄	C₂²	1	1	yes	characteristic
177	C₄×C₁₃×C₂²⋊C₄	C₂²	1	1	yes	characteristic
178	C₄×C₁₃×C₂²⋊C₄	C₂²	1	1	yes	characteristic
179	C₄×C₁₃×C₂²⋊C₄	C₂²	1	1	yes	characteristic
180	C₄×C₁₃×C₂²⋊C₄	C₂²	1	1	yes	characteristic
181	C₄×C₁₃×C₂²⋊C₄	C₂²	1	1	yes	characteristic
182	C₄×C₁₃×C₂²⋊C₄	C₂²	1	1	yes	characteristic
183	C₄×C₁₃×C₂²⋊C₄	C₂²	1	1	yes	characteristic
184	C₁₃×#376	C₂²	1	1	yes	characteristic
185	C₂×C₁₃×#95	C₂²	1	1	yes	characteristic
186	C₂×C₁₃×#95	C₂²	1	1	yes	characteristic
187	C₂×C₁₃×#95	C₂²	1	1	yes	characteristic
188	C₂²×D₄×C₁₃	C₂³	1	1	yes	characteristic
189	C₂²×D₄×C₁₃	C₂³	1	1	yes	characteristic
190	C₂²×D₄×C₁₃	C₂³	1	1	yes	characteristic
191	C₂²×D₄×C₁₃	C₂³	1	1	yes	characteristic
192	C₂²×D₄×C₁₃	C₂³	1	1	yes	characteristic
193	C₂²×D₄×C₁₃	C₂³	1	1	yes	characteristic
194	C₂²×D₄×C₁₃	C₂³	1	1	yes	characteristic
195	C₂²×D₄×C₁₃	C₂³	1	1	yes	characteristic
196	C₂²×D₄×C₁₃	C₂³	1	1	yes	characteristic
197	C₂²×D₄×C₁₃	C₂³	1	1	yes	characteristic
198	C₂³×C₄×C₁₃	C₂³	1	1	yes	characteristic
199	C₂³×C₄×C₁₃	C₂³	1	1	yes	characteristic
200	C₂³×C₄×C₁₃	C₂³	1	1	yes	characteristic
201	C₂³×C₄×C₁₃	C₂³	1	1	yes	characteristic
202	C₂³×C₄×C₁₃	C₂³	1	1	yes	characteristic
203	C₂³×C₄×C₁₃	C₂³	1	1	yes	characteristic
204	C₂³×C₄×C₁₃	C₂³	1	1	yes	characteristic
205	C₂³×C₄×C₁₃	C₂³	1	1	yes	characteristic
206	C₂³×C₄×C₁₃	C₂³	1	1	yes	characteristic
207	C₂³×C₄×C₁₃	C₂³	1	1	yes	characteristic
208	C₂³×C₄×C₁₃	C₂³	1	1	yes	characteristic
209	C₂³×C₄×C₁₃	C₂³	1	1	yes	characteristic
210	C₂³×C₄×C₁₃	C₂³	1	1	yes	characteristic
211	C₂³×C₄×C₁₃	C₂³	1	1	yes	characteristic
212	C₂³×C₄×C₁₃	C₂³	1	1	yes	characteristic
213	C₁₃×#127	C₂×C₄	1	8	yes	complemented
214	C₁₃×#125	C₂×C₄	1	8	yes	complemented
215	C₁₃×#123	C₂×C₄	1	8	yes	complemented
216	C₁₃×#123	C₂×C₄	1	8	yes	complemented
217	C₁₃×#123	C₂×C₄	1	8	yes	complemented
218	C₁₃×#123	C₂×C₄	1	8	yes	complemented
219	C₁₃×#121	C₂×C₄	1	8	yes	complemented
220	C₁₃×#121	C₂×C₄	1	8	yes	complemented
221	C₁₃×#121	C₂×C₄	1	8	yes	complemented
222	C₁₃×#121	C₂×C₄	1	8	yes	complemented
223	C₁₃×#121	C₂×C₄	1	8	yes	complemented
224	C₁₃×#121	C₂×C₄	1	8	yes	complemented
225	C₄×D₄×C₁₃	—	4	2	no	—
226	C₄×D₄×C₁₃	—	4	2	no	—
227	C₄×D₄×C₁₃	—	4	2	no	—
228	C₄×D₄×C₁₃	—	4	2	no	—
229	C₄×D₄×C₁₃	—	4	2	no	—
230	C₄×D₄×C₁₃	—	4	2	no	—
231	C₄×D₄×C₁₃	—	4	2	no	—
232	C₄×D₄×C₁₃	—	4	2	no	—
233	C₄×D₄×C₁₃	C₂×C₄	1	8	yes	complemented
234	C₄×D₄×C₁₃	C₂×C₄	1	8	yes	complemented
235	C₁₃×#117	—	4	2	no	—
236	C₁₃×#117	—	4	2	no	—
237	C₁₃×#117	C₂×C₄	1	8	yes	complemented
238	C₂×C₁₃×C₄⋊C₄	—	4	2	no	—
239	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
240	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
241	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
242	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
243	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
244	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
245	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
246	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
247	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
248	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
249	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
250	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
251	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
252	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
253	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
254	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
255	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
256	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
257	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
258	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
259	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
260	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
261	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
262	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
263	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
264	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
265	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
266	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
267	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
268	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
269	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
270	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
271	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
272	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
273	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
274	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
275	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
276	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
277	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
278	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
279	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
280	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
281	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
282	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
283	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
284	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
285	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
286	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
287	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
288	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
289	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
290	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
291	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
292	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
293	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
294	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
295	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
296	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
297	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
298	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
299	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
300	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
301	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
302	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
303	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
304	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
305	C₂×C₄²×C₁₃	—	4	2	no	—
306	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
307	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
308	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
309	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
310	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
311	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
312	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
313	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
314	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
315	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
316	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
317	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
318	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
319	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
320	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
321	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
322	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
323	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
324	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
325	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
326	C₁₃×#95	C₂³	1	1	yes	characteristic
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	C₁₃×#95	C₂³	1	1	yes	characteristic
342	C₁₃×#95	C₂³	1	1	yes	characteristic
343	C₁₃×#95	C₂³	1	1	yes	characteristic
344	C₁₃×#95	C₂³	1	1	yes	characteristic
345	C₁₃×#95	C₂³	1	1	yes	characteristic
346	C₁₃×#95	C₂³	1	1	yes	characteristic
347	C₁₃×#95	C₂³	1	1	yes	characteristic
348	C₁₃×#95	C₂³	1	1	yes	characteristic
349	C₁₃×#95	C₂³	1	1	yes	characteristic
350	C₁₃×#95	C₂³	1	1	yes	characteristic
351	C₁₃×#95	C₂³	1	1	yes	characteristic
352	C₁₃×#95	C₂³	1	1	yes	characteristic
353	C₁₃×#95	C₂³	1	1	yes	characteristic
354	C₁₃×#95	C₂³	1	1	yes	characteristic
355	C₁₃×#95	C₂³	1	1	yes	characteristic
356	C₁₃×#95	C₂³	1	1	yes	characteristic
357	C₁₃×#95	C₂³	1	1	yes	characteristic
358	C₁₃×#95	C₂³	1	1	yes	characteristic
359	C₁₃×#95	C₂³	1	1	yes	characteristic
360	C₁₃×#95	C₂³	1	1	yes	characteristic
361	C₁₃×#95	C₂³	1	1	yes	characteristic
362	C₁₃×#95	C₂³	1	1	yes	characteristic
363	C₁₃×#95	C₂³	1	1	yes	characteristic
364	C₁₃×#95	C₂³	1	1	yes	characteristic
365	C₁₃×#95	C₂³	1	1	yes	characteristic
366	C₁₃×#95	C₂³	1	1	yes	characteristic
367	C₁₃×#95	C₂³	1	1	yes	characteristic
368	C₁₃×#95	C₂³	1	1	yes	characteristic
369	C₁₃×#95	C₂³	1	1	yes	characteristic
370	#34442	C₁₃	1	1	yes	maximal, characteristic, direct product factor, Sylow
371	C₂⁴×C₁₃	C₂⁴	1	1	yes	characteristic
372	C₂⁴×C₁₃	C₂⁴	1	1	yes	characteristic
373	C₂⁴×C₁₃	C₂⁴	1	1	yes	characteristic
374	C₂⁴×C₁₃	C₂⁴	1	1	yes	characteristic
375	C₂⁴×C₁₃	C₂⁴	1	1	yes	characteristic
376	C₂×D₄×C₁₃	—	4	1	no	—
377	C₂×D₄×C₁₃	—	4	1	no	—
378	C₂×D₄×C₁₃	—	4	1	no	—
379	C₂×D₄×C₁₃	—	4	1	no	—
380	C₂×D₄×C₁₃	—	4	1	no	—
381	C₂×D₄×C₁₃	—	4	1	no	—
382	C₂×D₄×C₁₃	—	4	1	no	—
383	C₂×D₄×C₁₃	—	4	1	no	—
384	C₂×D₄×C₁₃	—	4	1	no	—
385	C₂×D₄×C₁₃	—	4	1	no	—
386	C₂×D₄×C₁₃	—	4	1	no	—
387	C₂×D₄×C₁₃	—	4	1	no	—
388	C₂×D₄×C₁₃	—	4	1	no	—
389	C₂×D₄×C₁₃	—	4	1	no	—
390	C₂×D₄×C₁₃	—	4	1	no	—
391	C₂×D₄×C₁₃	—	4	1	no	—
392	C₂×D₄×C₁₃	—	4	1	no	—
393	C₂×D₄×C₁₃	—	4	1	no	—
394	C₂×D₄×C₁₃	—	4	1	no	—
395	C₂×D₄×C₁₃	—	4	1	no	—
396	C₂×D₄×C₁₃	C₂²×C₄	1	4	yes	—
397	C₂×D₄×C₁₃	C₂²×C₄	1	4	yes	—
398	C₂×D₄×C₁₃	C₂²×C₄	1	4	yes	—
399	C₂×D₄×C₁₃	C₂²×C₄	1	4	yes	—
400	C₂×D₄×C₁₃	C₂²×C₄	1	4	yes	—
401	C₂×D₄×C₁₃	C₂²×C₄	1	4	yes	—
402	C₂×D₄×C₁₃	C₂²×C₄	1	4	yes	—
403	C₂×D₄×C₁₃	C₂²×C₄	1	4	yes	—
404	C₂×D₄×C₁₃	C₂²×C₄	1	4	yes	—
405	C₂×D₄×C₁₃	C₂²×C₄	1	4	yes	—
406	C₂²×C₄×C₁₃	—	2	2	no	—
407	C₂²×C₄×C₁₃	—	2	2	no	—
408	C₂²×C₄×C₁₃	—	2	2	no	—
409	C₂²×C₄×C₁₃	—	2	2	no	—
410	C₂²×C₄×C₁₃	—	2	2	no	—
411	C₂²×C₄×C₁₃	—	4	1	no	—
412	C₂²×C₄×C₁₃	—	4	1	no	—
413	C₂²×C₄×C₁₃	—	4	1	no	—
414	C₂²×C₄×C₁₃	—	4	1	no	—
415	C₂²×C₄×C₁₃	—	4	1	no	—
416	C₂²×C₄×C₁₃	—	4	1	no	—
417	C₂²×C₄×C₁₃	—	4	1	no	—
418	C₂²×C₄×C₁₃	—	4	1	no	—
419	C₂²×C₄×C₁₃	—	4	1	no	—
420	C₂²×C₄×C₁₃	—	4	1	no	—
421	C₂²×C₄×C₁₃	—	4	1	no	—
422	C₂²×C₄×C₁₃	—	4	1	no	—
423	C₂²×C₄×C₁₃	—	4	1	no	—
424	C₂²×C₄×C₁₃	—	4	1	no	—
425	C₂²×C₄×C₁₃	—	4	1	no	—
426	C₂²×C₄×C₁₃	—	4	1	no	—
427	C₂²×C₄×C₁₃	—	4	1	no	—
428	C₂²×C₄×C₁₃	—	4	1	no	—
429	C₂²×C₄×C₁₃	—	4	1	no	—
430	C₂²×C₄×C₁₃	—	4	1	no	—
431	C₂²×C₄×C₁₃	—	4	1	no	—
432	C₂²×C₄×C₁₃	—	4	1	no	—
433	C₂²×C₄×C₁₃	—	4	1	no	—
434	C₂²×C₄×C₁₃	—	4	1	no	—
435	C₂²×C₄×C₁₃	—	4	1	no	—
436	C₂²×C₄×C₁₃	—	4	1	no	—
437	C₂²×C₄×C₁₃	—	4	1	no	—
438	C₂²×C₄×C₁₃	—	4	1	no	—
439	C₂²×C₄×C₁₃	—	4	1	no	—
440	C₂²×C₄×C₁₃	—	4	1	no	—
441	C₂²×C₄×C₁₃	—	4	1	no	—
442	C₂²×C₄×C₁₃	—	4	1	no	—
443	C₂²×C₄×C₁₃	—	4	1	no	—
444	C₂²×C₄×C₁₃	—	4	1	no	—
445	C₂²×C₄×C₁₃	—	4	1	no	—
446	C₂²×C₄×C₁₃	C₂²×C₄	1	4	yes	—
447	C₂²×C₄×C₁₃	C₂²×C₄	1	4	yes	—
448	C₂²×C₄×C₁₃	C₂²×C₄	1	4	yes	—
449	C₂²×C₄×C₁₃	C₂²×C₄	1	4	yes	—
450	C₂²×C₄×C₁₃	C₂²×C₄	1	4	yes	—
451	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
452	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
453	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
454	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
455	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
456	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
457	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
458	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
459	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
460	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
461	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
462	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
463	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
464	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
465	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
466	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
467	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
468	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
469	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
470	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
471	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
472	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
473	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
474	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
475	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
476	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
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	—	4	1	no	—
483	C₁₃×C₄⋊C₄	—	4	1	no	—
484	C₁₃×C₄⋊C₄	—	4	1	no	—
485	C₁₃×C₄⋊C₄	—	4	1	no	—
486	C₁₃×C₄⋊C₄	—	4	1	no	—
487	C₁₃×C₄⋊C₄	—	4	1	no	—
488	C₁₃×C₄⋊C₄	—	4	1	no	—
489	C₁₃×C₄⋊C₄	—	4	1	no	—
490	C₁₃×C₄⋊C₄	—	4	1	no	—
491	C₁₃×C₄⋊C₄	—	4	1	no	—
492	C₁₃×C₄⋊C₄	—	4	1	no	—
493	C₁₃×C₄⋊C₄	—	4	1	no	—
494	C₁₃×C₄⋊C₄	—	4	1	no	—
495	C₁₃×C₄⋊C₄	C₂²×C₄	1	4	yes	—
496	C₁₃×C₄⋊C₄	C₂²×C₄	1	4	yes	—
497	C₁₃×C₄⋊C₄	C₂²×C₄	1	4	yes	—
498	C₁₃×C₄⋊C₄	C₂²×C₄	1	4	yes	—
499	C₁₃×C₄⋊C₄	C₂²×C₄	1	4	yes	—
500	C₁₃×C₄⋊C₄	C₂²×C₄	1	4	yes	—
501	C₁₃×C₄⋊C₄	C₂²×C₄	1	4	yes	—
502	C₁₃×C₄⋊C₄	C₂²×C₄	1	4	yes	—
503	C₁₃×C₂²⋊C₄	—	2	2	no	—
504	C₁₃×C₂²⋊C₄	—	2	2	no	—
505	C₁₃×C₂²⋊C₄	—	2	2	no	—
506	C₁₃×C₂²⋊C₄	—	2	2	no	—
507	C₁₃×C₂²⋊C₄	—	2	2	no	—
508	C₁₃×C₂²⋊C₄	—	4	1	no	—
509	C₁₃×C₂²⋊C₄	—	4	1	no	—
510	C₁₃×C₂²⋊C₄	—	4	1	no	—
511	C₁₃×C₂²⋊C₄	—	4	1	no	—
512	C₁₃×C₂²⋊C₄	—	4	1	no	—
513	C₁₃×C₂²⋊C₄	—	4	1	no	—
514	C₁₃×C₂²⋊C₄	—	4	1	no	—
515	C₁₃×C₂²⋊C₄	—	4	1	no	—
516	C₁₃×C₂²⋊C₄	—	4	1	no	—
517	C₁₃×C₂²⋊C₄	—	4	1	no	—
518	C₁₃×C₂²⋊C₄	—	4	1	no	—
519	C₁₃×C₂²⋊C₄	—	4	1	no	—
520	C₁₃×C₂²⋊C₄	—	4	1	no	—
521	C₁₃×C₂²⋊C₄	—	4	1	no	—
522	C₁₃×C₂²⋊C₄	—	4	1	no	—
523	C₁₃×C₂²⋊C₄	—	4	1	no	—
524	C₁₃×C₂²⋊C₄	—	4	1	no	—
525	C₁₃×C₂²⋊C₄	—	4	1	no	—
526	C₁₃×C₂²⋊C₄	—	4	1	no	—
527	C₁₃×C₂²⋊C₄	—	4	1	no	—
528	C₁₃×C₂²⋊C₄	—	4	1	no	—
529	C₁₃×C₂²⋊C₄	—	4	1	no	—
530	C₁₃×C₂²⋊C₄	—	4	1	no	—
531	C₁₃×C₂²⋊C₄	—	4	1	no	—
532	C₁₃×C₂²⋊C₄	—	4	1	no	—
533	C₁₃×C₂²⋊C₄	C₂²×C₄	1	4	yes	—
534	C₁₃×C₂²⋊C₄	C₂²×C₄	1	4	yes	—
535	C₁₃×C₂²⋊C₄	C₂²×C₄	1	4	yes	—
536	C₁₃×C₂²⋊C₄	C₂²×C₄	1	4	yes	—
537	C₁₃×C₂²⋊C₄	C₂²×C₄	1	4	yes	—
538	C₁₃×C₂²⋊C₄	C₂²×C₄	1	4	yes	—
539	C₁₃×C₂²⋊C₄	C₂²×C₄	1	4	yes	—
540	C₁₃×C₂²⋊C₄	C₂²×C₄	1	4	yes	—
541	C₁₃×C₂²⋊C₄	C₂²×C₄	1	4	yes	—
542	C₁₃×C₂²⋊C₄	C₂²×C₄	1	4	yes	—
543	C₄²×C₁₃	—	2	2	no	—
544	C₄²×C₁₃	—	2	2	no	—
545	C₄²×C₁₃	—	2	2	no	—
546	C₄²×C₁₃	—	4	1	no	—
547	C₄²×C₁₃	—	4	1	no	—
548	C₄²×C₁₃	—	4	1	no	—
549	C₄²×C₁₃	—	4	1	no	—
550	C₄²×C₁₃	—	4	1	no	—
551	C₄²×C₁₃	—	4	1	no	—
552	C₄²×C₁₃	—	4	1	no	—
553	C₄²×C₁₃	—	4	1	no	—
554	C₄²×C₁₃	—	4	1	no	—
555	C₄²×C₁₃	—	4	1	no	—
556	C₄²×C₁₃	—	4	1	no	—
557	C₄²×C₁₃	—	4	1	no	—
558	C₄²×C₁₃	—	4	1	no	—
559	C₄²×C₁₃	—	4	1	no	—
560	C₄²×C₁₃	—	4	1	no	—
561	C₄²×C₁₃	C₂²×C₄	1	4	yes	—
562	C₄²×C₁₃	C₂²×C₄	1	4	yes	—
563	C₂×#540	C₂×C₁₃	1	1	yes	characteristic
564	#2380	C₂×C₁₃	1	1	yes	characteristic, complemented
565	#2377	C₂×C₁₃	1	1	yes	characteristic, complemented
566	#2377	C₂×C₁₃	1	1	yes	characteristic, complemented
567	#2376	C₂×C₁₃	1	1	yes	characteristic, complemented
568	#2374	C₂×C₁₃	1	1	yes	characteristic, complemented
569	#2366	C₂×C₁₃	1	1	yes	characteristic, complemented
570	#2364	C₂×C₁₃	1	1	yes	characteristic, complemented
571	#2364	C₂×C₁₃	1	1	yes	characteristic, complemented
572	#2363	C₂×C₁₃	1	1	yes	characteristic, complemented
573	#2361	C₂×C₁₃	1	1	yes	characteristic, complemented
574	#2359	C₂×C₁₃	1	1	yes	characteristic, complemented
575	#2359	C₂×C₁₃	1	1	yes	characteristic, complemented
576	#2353	C₂×C₁₃	1	1	yes	characteristic, complemented
577	#2352	C₂×C₁₃	1	1	yes	characteristic, complemented
578	#2347	C₂×C₁₃	1	1	yes	characteristic, complemented
579	#2343	C₂×C₁₃	1	1	yes	characteristic, complemented
580	#2336	C₂×C₁₃	1	1	yes	characteristic, complemented
581	#2336	C₂×C₁₃	1	1	yes	characteristic, complemented
582	#2335	C₂×C₁₃	1	1	yes	characteristic, complemented
583	#2335	C₂×C₁₃	1	1	yes	characteristic, complemented
584	#2333	C₂×C₁₃	1	1	yes	characteristic, complemented
585	#2333	C₂×C₁₃	1	1	yes	characteristic, complemented
586	#2325	C₂×C₁₃	1	1	yes	characteristic, complemented
587	#2325	C₂×C₁₃	1	1	yes	characteristic, complemented
588	#2324	C₂×C₁₃	1	1	yes	characteristic, complemented
589	#2322	C₂×C₁₃	1	1	yes	characteristic, complemented
590	#2318	C₂×C₁₃	1	1	yes	characteristic, complemented
591	C₄×#123	C₂×C₁₃	1	1	yes	characteristic, complemented
592	C₄×#121	C₂×C₁₃	1	1	yes	characteristic, complemented
593	#2290	C₂×C₁₃	1	1	yes	characteristic, complemented
594	C₂³×C₁₃	—	2	1	no	—
595	C₂³×C₁₃	—	2	1	no	—
596	C₂³×C₁₃	—	2	1	no	—
597	C₂³×C₁₃	—	2	1	no	—
598	C₂³×C₁₃	—	2	1	no	—
599	C₂³×C₁₃	—	2	1	no	—
600	C₂³×C₁₃	—	2	1	no	—
601	C₂³×C₁₃	—	2	1	no	—
602	C₂³×C₁₃	—	2	1	no	—
603	C₂³×C₁₃	—	2	1	no	—
604	C₂³×C₁₃	—	2	1	no	—
605	C₂³×C₁₃	—	2	1	no	—
606	C₂³×C₁₃	—	2	1	no	—
607	C₂³×C₁₃	—	2	1	no	—
608	C₂³×C₁₃	—	2	1	no	—
609	C₂³×C₁₃	—	2	1	no	—
610	C₂³×C₁₃	—	2	1	no	—
611	C₂³×C₁₃	—	2	1	no	—
612	C₂³×C₁₃	—	2	1	no	—
613	C₂³×C₁₃	—	2	1	no	—
614	C₂³×C₁₃	—	2	1	no	—
615	C₂³×C₁₃	—	2	1	no	—
616	C₂³×C₁₃	—	2	1	no	—
617	C₂³×C₁₃	—	2	1	no	—
618	C₂³×C₁₃	—	2	1	no	—
619	C₂³×C₁₃	—	2	1	no	—
620	C₂³×C₁₃	—	2	1	no	—
621	C₂³×C₁₃	—	2	1	no	—
622	C₂³×C₁₃	—	2	1	no	—
623	C₂³×C₁₃	—	2	1	no	—
624	C₂³×C₁₃	C₂³×C₄	1	2	yes	—
625	C₂³×C₁₃	C₂³×C₄	1	2	yes	—
626	C₂³×C₁₃	C₂³×C₄	1	2	yes	—
627	C₂³×C₁₃	C₂³×C₄	1	2	yes	—
628	C₂³×C₁₃	C₂³×C₄	1	2	yes	—
629	C₂³×C₁₃	C₂⁵	1	1	yes	characteristic
630	D₄×C₁₃	—	4	4	no	—
631	D₄×C₁₃	—	4	4	no	—
632	D₄×C₁₃	—	4	4	no	—
633	D₄×C₁₃	—	4	4	no	—
634	D₄×C₁₃	—	4	4	no	—
635	D₄×C₁₃	—	4	4	no	—
636	D₄×C₁₃	—	4	4	no	—
637	D₄×C₁₃	—	4	4	no	—
638	D₄×C₁₃	—	4	4	no	—
639	D₄×C₁₃	—	4	4	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	—	2	1	no	—
648	C₂×C₄×C₁₃	—	2	1	no	—
649	C₂×C₄×C₁₃	—	2	1	no	—
650	C₂×C₄×C₁₃	—	2	1	no	—
651	C₂×C₄×C₁₃	—	2	1	no	—
652	C₂×C₄×C₁₃	—	2	1	no	—
653	C₂×C₄×C₁₃	—	2	1	no	—
654	C₂×C₄×C₁₃	—	2	1	no	—
655	C₂×C₄×C₁₃	—	2	1	no	—
656	C₂×C₄×C₁₃	—	2	1	no	—
657	C₂×C₄×C₁₃	—	2	1	no	—
658	C₂×C₄×C₁₃	—	2	1	no	—
659	C₂×C₄×C₁₃	—	2	1	no	—
660	C₂×C₄×C₁₃	—	2	1	no	—
661	C₂×C₄×C₁₃	—	2	1	no	—
662	C₂×C₄×C₁₃	—	2	1	no	—
663	C₂×C₄×C₁₃	—	2	1	no	—
664	C₂×C₄×C₁₃	—	2	1	no	—
665	C₂×C₄×C₁₃	—	2	1	no	—
666	C₂×C₄×C₁₃	—	2	1	no	—
667	C₂×C₄×C₁₃	—	2	1	no	—
668	C₂×C₄×C₁₃	—	2	1	no	—
669	C₂×C₄×C₁₃	—	2	1	no	—
670	C₂×C₄×C₁₃	—	2	1	no	—
671	C₂×C₄×C₁₃	—	2	1	no	—
672	C₂×C₄×C₁₃	—	2	1	no	—
673	C₂×C₄×C₁₃	—	2	1	no	—
674	C₂×C₄×C₁₃	—	2	1	no	—
675	C₂×C₄×C₁₃	—	2	1	no	—
676	C₂×C₄×C₁₃	—	2	1	no	—
677	C₂×C₄×C₁₃	—	2	1	no	—
678	C₂×C₄×C₁₃	—	2	1	no	—
679	C₂×C₄×C₁₃	—	2	1	no	—
680	C₂×C₄×C₁₃	—	2	1	no	—
681	C₂×C₄×C₁₃	—	2	1	no	—
682	C₂×C₄×C₁₃	—	2	1	no	—
683	C₂×C₄×C₁₃	—	2	1	no	—
684	C₂×C₄×C₁₃	—	2	1	no	—
685	C₂×C₄×C₁₃	—	2	1	no	—
686	C₂×C₄×C₁₃	—	2	1	no	—
687	C₂×C₄×C₁₃	—	2	1	no	—
688	C₂×C₄×C₁₃	—	2	1	no	—
689	C₂×C₄×C₁₃	—	2	1	no	—
690	C₂×C₄×C₁₃	—	2	1	no	—
691	C₂×C₄×C₁₃	—	2	1	no	—
692	C₂×C₄×C₁₃	—	2	1	no	—
693	C₂×C₄×C₁₃	—	2	1	no	—
694	C₂×C₄×C₁₃	—	2	1	no	—
695	C₂×C₄×C₁₃	—	2	1	no	—
696	C₂×C₄×C₁₃	—	2	1	no	—
697	C₂×C₄×C₁₃	—	2	1	no	—
698	C₂×C₄×C₁₃	—	2	1	no	—
699	C₂×C₄×C₁₃	—	2	1	no	—
700	C₂×C₄×C₁₃	—	2	1	no	—
701	C₂×C₄×C₁₃	—	2	1	no	—
702	C₂×C₄×C₁₃	—	2	1	no	—
703	C₂×C₄×C₁₃	—	2	1	no	—
704	C₂×C₄×C₁₃	—	2	1	no	—
705	C₂×C₄×C₁₃	—	2	1	no	—
706	C₂×C₄×C₁₃	—	4	4	no	—
707	C₂×C₄×C₁₃	—	4	4	no	—
708	C₂×C₄×C₁₃	—	4	4	no	—
709	C₂×C₄×C₁₃	—	4	4	no	—
710	C₂×C₄×C₁₃	—	4	4	no	—
711	C₂×C₄×C₁₃	—	4	4	no	—
712	C₂×C₄×C₁₃	—	4	4	no	—
713	C₂×C₄×C₁₃	—	8	2	no	—
714	C₂×C₄×C₁₃	—	8	2	no	—
715	C₂×C₄×C₁₃	—	8	2	no	—
716	C₂×C₄×C₁₃	—	8	2	no	—
717	C₂×C₄×C₁₃	—	8	2	no	—
718	C₂×C₄×C₁₃	—	8	2	no	—
719	C₂×C₄×C₁₃	—	8	2	no	—
720	C₂×C₄×C₁₃	—	8	2	no	—
721	C₂×C₄×C₁₃	C₂³×C₄	1	2	yes	—
722	C₂×C₄×C₁₃	C₂³×C₄	1	2	yes	—
723	C₂×C₄×C₁₃	C₂³×C₄	1	2	yes	—
724	C₂×C₄×C₁₃	C₂³×C₄	1	2	yes	—
725	C₂×C₄×C₁₃	C₂³×C₄	1	2	yes	—
726	C₂×C₄×C₁₃	C₂³×C₄	1	2	yes	—
727	C₂×C₄×C₁₃	C₂³×C₄	1	2	yes	—
728	C₂×C₄×C₁₃	C₂³×C₄	1	2	yes	—
729	C₂×C₄×C₁₃	C₂³×C₄	1	2	yes	—
730	C₂×C₄×C₁₃	C₂³×C₄	1	2	yes	—
731	C₂×C₄×C₁₃	H(5,𝔽₂)	1	2	yes	—
732	C₂×C₄×C₁₃	H(5,𝔽₂)	1	2	yes	—
733	#540	C₄×C₁₃	1	16	yes	complemented
734	C₂×#127	C₂²×C₁₃	1	1	yes	characteristic
735	C₂×#125	C₂²×C₁₃	1	1	yes	characteristic
736	C₂×#123	C₂²×C₁₃	1	1	yes	characteristic
737	C₂×#123	C₂²×C₁₃	1	1	yes	characteristic
738	C₂×#123	C₂²×C₁₃	1	1	yes	characteristic
739	C₂×#123	C₂²×C₁₃	1	1	yes	characteristic
740	C₂×#121	C₂²×C₁₃	1	1	yes	characteristic
741	C₂×#121	C₂²×C₁₃	1	1	yes	characteristic
742	C₂×#121	C₂²×C₁₃	1	1	yes	characteristic
743	C₂×#121	C₂²×C₁₃	1	1	yes	characteristic
744	C₂×#121	C₂²×C₁₃	1	1	yes	characteristic
745	C₂×#121	C₂²×C₁₃	1	1	yes	characteristic
746	C₂×C₄×D₄	C₂²×C₁₃	1	1	yes	characteristic
747	C₂×C₄×D₄	C₂²×C₁₃	1	1	yes	characteristic
748	C₂×C₄×D₄	C₂²×C₁₃	1	1	yes	characteristic
749	C₂×C₄×D₄	C₂²×C₁₃	1	1	yes	characteristic
750	C₂×C₄×D₄	C₂²×C₁₃	1	1	yes	characteristic
751	C₂×C₄×D₄	C₂²×C₁₃	1	1	yes	characteristic
752	C₂×C₄×D₄	C₂²×C₁₃	1	1	yes	characteristic
753	C₂×C₄×D₄	C₂²×C₁₃	1	1	yes	characteristic
754	C₂×C₄×D₄	C₂²×C₁₃	1	1	yes	characteristic
755	C₂×C₄×D₄	C₂²×C₁₃	1	1	yes	characteristic
756	C₂×#117	C₂²×C₁₃	1	1	yes	characteristic
757	C₂×#117	C₂²×C₁₃	1	1	yes	characteristic
758	C₂×#117	C₂²×C₁₃	1	1	yes	characteristic
759	C₂²×C₄⋊C₄	C₂²×C₁₃	1	1	yes	characteristic
760	C₂²×C₄²	C₂²×C₁₃	1	1	yes	characteristic
761	#390	C₂²×C₁₃	1	1	yes	characteristic
762	#390	C₂²×C₁₃	1	1	yes	characteristic
763	#390	C₂²×C₁₃	1	1	yes	characteristic
764	#390	C₂²×C₁₃	1	1	yes	characteristic
765	#390	C₂²×C₁₃	1	1	yes	characteristic
766	#390	C₂²×C₁₃	1	1	yes	characteristic
767	#390	C₂²×C₁₃	1	1	yes	characteristic
768	#390	C₂²×C₁₃	1	1	yes	characteristic
769	#389	C₂²×C₁₃	1	1	yes	characteristic
770	#389	C₂²×C₁₃	1	1	yes	characteristic
771	#389	C₂²×C₁₃	1	1	yes	characteristic
772	#389	C₂²×C₁₃	1	1	yes	characteristic
773	#389	C₂²×C₁₃	1	1	yes	characteristic
774	#389	C₂²×C₁₃	1	1	yes	characteristic
775	#388	C₂²×C₁₃	1	1	yes	characteristic
776	#388	C₂²×C₁₃	1	1	yes	characteristic
777	#388	C₂²×C₁₃	1	1	yes	characteristic
778	#388	C₂²×C₁₃	1	1	yes	characteristic
779	#388	C₂²×C₁₃	1	1	yes	characteristic
780	#388	C₂²×C₁₃	1	1	yes	characteristic
781	#388	C₂²×C₁₃	1	1	yes	characteristic
782	#388	C₂²×C₁₃	1	1	yes	characteristic
783	#388	C₂²×C₁₃	1	1	yes	characteristic
784	#388	C₂²×C₁₃	1	1	yes	characteristic
785	#388	C₂²×C₁₃	1	1	yes	characteristic
786	#388	C₂²×C₁₃	1	1	yes	characteristic
787	#388	C₂²×C₁₃	1	1	yes	characteristic
788	#388	C₂²×C₁₃	1	1	yes	characteristic
789	#388	C₂²×C₁₃	1	1	yes	characteristic
790	#388	C₂²×C₁₃	1	1	yes	characteristic
791	#388	C₂²×C₁₃	1	1	yes	characteristic
792	#388	C₂²×C₁₃	1	1	yes	characteristic
793	#388	C₂²×C₁₃	1	1	yes	characteristic
794	#388	C₂²×C₁₃	1	1	yes	characteristic
795	#387	C₂²×C₁₃	1	1	yes	characteristic
796	#387	C₂²×C₁₃	1	1	yes	characteristic
797	#387	C₂²×C₁₃	1	1	yes	characteristic
798	#387	C₂²×C₁₃	1	1	yes	characteristic
799	#387	C₂²×C₁₃	1	1	yes	characteristic
800	#387	C₂²×C₁₃	1	1	yes	characteristic
801	#387	C₂²×C₁₃	1	1	yes	characteristic
802	#387	C₂²×C₁₃	1	1	yes	characteristic
803	#387	C₂²×C₁₃	1	1	yes	characteristic
804	#387	C₂²×C₁₃	1	1	yes	characteristic
805	#387	C₂²×C₁₃	1	1	yes	characteristic
806	#387	C₂²×C₁₃	1	1	yes	characteristic
807	#387	C₂²×C₁₃	1	1	yes	characteristic
808	#387	C₂²×C₁₃	1	1	yes	characteristic
809	#387	C₂²×C₁₃	1	1	yes	characteristic
810	#387	C₂²×C₁₃	1	1	yes	characteristic
811	#387	C₂²×C₁₃	1	1	yes	characteristic
812	#387	C₂²×C₁₃	1	1	yes	characteristic
813	#387	C₂²×C₁₃	1	1	yes	characteristic
814	#387	C₂²×C₁₃	1	1	yes	characteristic
815	#386	C₂²×C₁₃	1	1	yes	characteristic
816	#386	C₂²×C₁₃	1	1	yes	characteristic
817	#386	C₂²×C₁₃	1	1	yes	characteristic
818	#386	C₂²×C₁₃	1	1	yes	characteristic
819	#386	C₂²×C₁₃	1	1	yes	characteristic
820	#386	C₂²×C₁₃	1	1	yes	characteristic
821	#386	C₂²×C₁₃	1	1	yes	characteristic
822	#386	C₂²×C₁₃	1	1	yes	characteristic
823	#386	C₂²×C₁₃	1	1	yes	characteristic
824	#386	C₂²×C₁₃	1	1	yes	characteristic
825	#386	C₂²×C₁₃	1	1	yes	characteristic
826	#386	C₂²×C₁₃	1	1	yes	characteristic
827	#386	C₂²×C₁₃	1	1	yes	characteristic
828	#386	C₂²×C₁₃	1	1	yes	characteristic
829	#386	C₂²×C₁₃	1	1	yes	characteristic
830	#386	C₂²×C₁₃	1	1	yes	characteristic
831	#386	C₂²×C₁₃	1	1	yes	characteristic
832	#386	C₂²×C₁₃	1	1	yes	characteristic
833	#386	C₂²×C₁₃	1	1	yes	characteristic
834	#386	C₂²×C₁₃	1	1	yes	characteristic
835	#386	C₂²×C₁₃	1	1	yes	characteristic
836	#386	C₂²×C₁₃	1	1	yes	characteristic
837	#386	C₂²×C₁₃	1	1	yes	characteristic
838	#386	C₂²×C₁₃	1	1	yes	characteristic
839	#385	C₂²×C₁₃	1	1	yes	characteristic
840	#385	C₂²×C₁₃	1	1	yes	characteristic
841	#385	C₂²×C₁₃	1	1	yes	characteristic
842	#385	C₂²×C₁₃	1	1	yes	characteristic
843	#385	C₂²×C₁₃	1	1	yes	characteristic
844	#385	C₂²×C₁₃	1	1	yes	characteristic
845	#385	C₂²×C₁₃	1	1	yes	characteristic
846	#385	C₂²×C₁₃	1	1	yes	characteristic
847	#385	C₂²×C₁₃	1	1	yes	characteristic
848	#385	C₂²×C₁₃	1	1	yes	characteristic
849	#383	C₂²×C₁₃	1	1	yes	characteristic
850	#383	C₂²×C₁₃	1	1	yes	characteristic
851	#383	C₂²×C₁₃	1	1	yes	characteristic
852	#382	C₂²×C₁₃	1	1	yes	characteristic
853	#381	C₂²×C₁₃	1	1	yes	characteristic
854	#381	C₂²×C₁₃	1	1	yes	characteristic
855	#381	C₂²×C₁₃	1	1	yes	characteristic
856	#380	C₂²×C₁₃	1	1	yes	characteristic
857	#380	C₂²×C₁₃	1	1	yes	characteristic
858	#380	C₂²×C₁₃	1	1	yes	characteristic
859	#380	C₂²×C₁₃	1	1	yes	characteristic
860	#380	C₂²×C₁₃	1	1	yes	characteristic
861	C₄×C₄⋊C₄	C₂²×C₁₃	1	1	yes	characteristic
862	C₄×C₄⋊C₄	C₂²×C₁₃	1	1	yes	characteristic
863	C₄×C₄⋊C₄	C₂²×C₁₃	1	1	yes	characteristic
864	C₄×C₄⋊C₄	C₂²×C₁₃	1	1	yes	characteristic
865	C₄×C₄⋊C₄	C₂²×C₁₃	1	1	yes	characteristic
866	C₄×C₄⋊C₄	C₂²×C₁₃	1	1	yes	characteristic
867	C₄×C₄⋊C₄	C₂²×C₁₃	1	1	yes	characteristic
868	C₄×C₄⋊C₄	C₂²×C₁₃	1	1	yes	characteristic
869	C₄×C₄⋊C₄	C₂²×C₁₃	1	1	yes	characteristic
870	C₄×C₂²⋊C₄	C₂²×C₁₃	1	1	yes	characteristic
871	C₄×C₂²⋊C₄	C₂²×C₁₃	1	1	yes	characteristic
872	C₄×C₂²⋊C₄	C₂²×C₁₃	1	1	yes	characteristic
873	C₄×C₂²⋊C₄	C₂²×C₁₃	1	1	yes	characteristic
874	C₄×C₂²⋊C₄	C₂²×C₁₃	1	1	yes	characteristic
875	C₄×C₂²⋊C₄	C₂²×C₁₃	1	1	yes	characteristic
876	C₄×C₂²⋊C₄	C₂²×C₁₃	1	1	yes	characteristic
877	C₄×C₂²⋊C₄	C₂²×C₁₃	1	1	yes	characteristic
878	C₄×C₂²⋊C₄	C₂²×C₁₃	1	1	yes	characteristic
879	C₄×C₂²⋊C₄	C₂²×C₁₃	1	1	yes	characteristic
880	C₄×C₂²⋊C₄	C₂²×C₁₃	1	1	yes	characteristic
881	C₄×C₂²⋊C₄	C₂²×C₁₃	1	1	yes	characteristic
882	C₄×C₂²⋊C₄	C₂²×C₁₃	1	1	yes	characteristic
883	C₄×C₂²⋊C₄	C₂²×C₁₃	1	1	yes	characteristic
884	C₄×C₂²⋊C₄	C₂²×C₁₃	1	1	yes	characteristic
885	#376	C₂²×C₁₃	1	1	yes	characteristic
886	C₂×#95	C₂²×C₁₃	1	1	yes	characteristic
887	C₂×#95	C₂²×C₁₃	1	1	yes	characteristic
888	C₂×#95	C₂²×C₁₃	1	1	yes	characteristic
889	C₂²×C₁₃	—	2	2	no	—
890	C₂²×C₁₃	—	2	2	no	—
891	C₂²×C₁₃	—	2	2	no	—
892	C₂²×C₁₃	—	2	2	no	—
893	C₂²×C₁₃	—	2	2	no	—
894	C₂²×C₁₃	—	2	2	no	—
895	C₂²×C₁₃	—	2	2	no	—
896	C₂²×C₁₃	—	2	2	no	—
897	C₂²×C₁₃	—	2	2	no	—
898	C₂²×C₁₃	—	2	2	no	—
899	C₂²×C₁₃	—	2	2	no	—
900	C₂²×C₁₃	—	2	2	no	—
901	C₂²×C₁₃	—	2	2	no	—
902	C₂²×C₁₃	—	2	2	no	—
903	C₂²×C₁₃	—	2	2	no	—
904	C₂²×C₁₃	—	4	1	no	—
905	C₂²×C₁₃	—	4	1	no	—
906	C₂²×C₁₃	—	4	1	no	—
907	C₂²×C₁₃	—	4	1	no	—
908	C₂²×C₁₃	—	4	1	no	—
909	C₂²×C₁₃	—	4	1	no	—
910	C₂²×C₁₃	—	4	1	no	—
911	C₂²×C₁₃	—	4	1	no	—
912	C₂²×C₁₃	—	4	1	no	—
913	C₂²×C₁₃	—	4	1	no	—
914	C₂²×C₁₃	—	4	1	no	—
915	C₂²×C₁₃	—	4	1	no	—
916	C₂²×C₁₃	—	4	1	no	—
917	C₂²×C₁₃	—	4	1	no	—
918	C₂²×C₁₃	—	4	1	no	—
919	C₂²×C₁₃	—	4	1	no	—
920	C₂²×C₁₃	—	4	1	no	—
921	C₂²×C₁₃	—	4	1	no	—
922	C₂²×C₁₃	—	4	1	no	—
923	C₂²×C₁₃	—	4	1	no	—
924	C₂²×C₁₃	C₂⁴×C₄	1	1	yes	characteristic
925	C₂²×C₁₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
926	C₂²×C₁₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
927	C₂²×C₁₃	#585	1	1	yes	characteristic
928	C₂²×C₁₃	#585	1	1	yes	characteristic
929	C₂²×C₁₃	#585	1	1	yes	characteristic
930	C₂²×C₁₃	#585	1	1	yes	characteristic
931	C₄×C₁₃	—	2	2	no	—
932	C₄×C₁₃	—	2	2	no	—
933	C₄×C₁₃	—	2	2	no	—
934	C₄×C₁₃	—	2	2	no	—
935	C₄×C₁₃	—	2	2	no	—
936	C₄×C₁₃	—	2	2	no	—
937	C₄×C₁₃	—	2	2	no	—
938	C₄×C₁₃	—	2	2	no	—
939	C₄×C₁₃	—	2	2	no	—
940	C₄×C₁₃	—	2	2	no	—
941	C₄×C₁₃	—	2	2	no	—
942	C₄×C₁₃	—	2	2	no	—
943	C₄×C₁₃	—	4	1	no	—
944	C₄×C₁₃	—	4	1	no	—
945	C₄×C₁₃	—	4	1	no	—
946	C₄×C₁₃	—	4	1	no	—
947	C₄×C₁₃	—	4	1	no	—
948	C₄×C₁₃	—	4	1	no	—
949	C₄×C₁₃	—	4	1	no	—
950	C₄×C₁₃	—	4	1	no	—
951	C₄×C₁₃	—	4	1	no	—
952	C₄×C₁₃	—	4	1	no	—
953	C₄×C₁₃	—	4	1	no	—
954	C₄×C₁₃	—	4	1	no	—
955	C₄×C₁₃	—	4	1	no	—
956	C₄×C₁₃	—	4	1	no	—
957	C₂²×D₄	C₂³×C₁₃	1	1	yes	characteristic
958	C₂²×D₄	C₂³×C₁₃	1	1	yes	characteristic
959	C₂²×D₄	C₂³×C₁₃	1	1	yes	characteristic
960	C₂²×D₄	C₂³×C₁₃	1	1	yes	characteristic
961	C₂²×D₄	C₂³×C₁₃	1	1	yes	characteristic
962	C₂²×D₄	C₂³×C₁₃	1	1	yes	characteristic
963	C₂²×D₄	C₂³×C₁₃	1	1	yes	characteristic
964	C₂²×D₄	C₂³×C₁₃	1	1	yes	characteristic
965	C₂²×D₄	C₂³×C₁₃	1	1	yes	characteristic
966	C₂²×D₄	C₂³×C₁₃	1	1	yes	characteristic
967	C₂³×C₄	C₂³×C₁₃	1	1	yes	characteristic
968	C₂³×C₄	C₂³×C₁₃	1	1	yes	characteristic
969	C₂³×C₄	C₂³×C₁₃	1	1	yes	characteristic
970	C₂³×C₄	C₂³×C₁₃	1	1	yes	characteristic
971	C₂³×C₄	C₂³×C₁₃	1	1	yes	characteristic
972	C₂³×C₄	C₂³×C₁₃	1	1	yes	characteristic
973	C₂³×C₄	C₂³×C₁₃	1	1	yes	characteristic
974	C₂³×C₄	C₂³×C₁₃	1	1	yes	characteristic
975	C₂³×C₄	C₂³×C₁₃	1	1	yes	characteristic
976	C₂³×C₄	C₂³×C₁₃	1	1	yes	characteristic
977	C₂³×C₄	C₂³×C₁₃	1	1	yes	characteristic
978	C₂³×C₄	C₂³×C₁₃	1	1	yes	characteristic
979	C₂³×C₄	C₂³×C₁₃	1	1	yes	characteristic
980	C₂³×C₄	C₂³×C₁₃	1	1	yes	characteristic
981	C₂³×C₄	C₂³×C₁₃	1	1	yes	characteristic
982	#127	C₂×C₄×C₁₃	1	8	yes	complemented
983	#125	C₂×C₄×C₁₃	1	8	yes	complemented
984	#123	C₂×C₄×C₁₃	1	8	yes	complemented
985	#123	C₂×C₄×C₁₃	1	8	yes	complemented
986	#123	C₂×C₄×C₁₃	1	8	yes	complemented
987	#123	C₂×C₄×C₁₃	1	8	yes	complemented
988	#121	C₂×C₄×C₁₃	1	8	yes	complemented
989	#121	C₂×C₄×C₁₃	1	8	yes	complemented
990	#121	C₂×C₄×C₁₃	1	8	yes	complemented
991	#121	C₂×C₄×C₁₃	1	8	yes	complemented
992	#121	C₂×C₄×C₁₃	1	8	yes	complemented
993	#121	C₂×C₄×C₁₃	1	8	yes	complemented
994	C₄×D₄	—	4	2	no	—
995	C₄×D₄	—	4	2	no	—
996	C₄×D₄	—	4	2	no	—
997	C₄×D₄	—	4	2	no	—
998	C₄×D₄	—	4	2	no	—
999	C₄×D₄	—	4	2	no	—
1000	C₄×D₄	—	4	2	no	—
1001	C₄×D₄	—	4	2	no	—
1002	C₄×D₄	C₂×C₄×C₁₃	1	8	yes	complemented
1003	C₄×D₄	C₂×C₄×C₁₃	1	8	yes	complemented
1004	#117	—	4	2	no	—
1005	#117	—	4	2	no	—
1006	#117	C₂×C₄×C₁₃	1	8	yes	complemented
1007	C₂×C₄⋊C₄	—	4	2	no	—
1008	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1009	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1010	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1011	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1012	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1013	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1014	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1015	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1016	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1017	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1018	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1019	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1020	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1021	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1022	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1023	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1024	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1025	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1026	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1027	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1028	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1029	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1030	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1031	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1032	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1033	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1034	C₂×C₂²⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1035	C₂×C₂²⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1036	C₂×C₂²⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1037	C₂×C₂²⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1038	C₂×C₂²⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1039	C₂×C₂²⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1040	C₂×C₂²⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1041	C₂×C₂²⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1042	C₂×C₂²⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1043	C₂×C₂²⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1044	C₂×C₂²⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1045	C₂×C₂²⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1046	C₂×C₂²⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1047	C₂×C₂²⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1048	C₂×C₂²⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1049	C₂×C₂²⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1050	C₂×C₂²⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1051	C₂×C₂²⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1052	C₂×C₂²⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1053	C₂×C₂²⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1054	C₂×C₂²⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1055	C₂×C₂²⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1056	C₂×C₂²⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1057	C₂×C₂²⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1058	C₂×C₂²⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1059	C₂×C₂²⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1060	C₂×C₂²⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1061	C₂×C₂²⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1062	C₂×C₂²⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1063	C₂×C₂²⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1064	C₂×C₂²⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1065	C₂×C₂²⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1066	C₂×C₂²⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1067	C₂×C₂²⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1068	C₂×C₂²⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1069	C₂×C₂²⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1070	C₂×C₂²⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1071	C₂×C₂²⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1072	C₂×C₂²⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1073	C₂×C₂²⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1074	C₂×C₄²	—	4	2	no	—
1075	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
1076	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
1077	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
1078	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
1079	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
1080	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
1081	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
1082	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
1083	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
1084	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
1085	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
1086	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
1087	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
1088	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
1089	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
1090	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
1091	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
1092	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
1093	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
1094	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
1095	#95	C₂³×C₁₃	1	1	yes	characteristic
1096	#95	C₂³×C₁₃	1	1	yes	characteristic
1097	#95	C₂³×C₁₃	1	1	yes	characteristic
1098	#95	C₂³×C₁₃	1	1	yes	characteristic
1099	#95	C₂³×C₁₃	1	1	yes	characteristic
1100	#95	C₂³×C₁₃	1	1	yes	characteristic
1101	#95	C₂³×C₁₃	1	1	yes	characteristic
1102	#95	C₂³×C₁₃	1	1	yes	characteristic
1103	#95	C₂³×C₁₃	1	1	yes	characteristic
1104	#95	C₂³×C₁₃	1	1	yes	characteristic
1105	#95	C₂³×C₁₃	1	1	yes	characteristic
1106	#95	C₂³×C₁₃	1	1	yes	characteristic
1107	#95	C₂³×C₁₃	1	1	yes	characteristic
1108	#95	C₂³×C₁₃	1	1	yes	characteristic
1109	#95	C₂³×C₁₃	1	1	yes	characteristic
1110	#95	C₂³×C₁₃	1	1	yes	characteristic
1111	#95	C₂³×C₁₃	1	1	yes	characteristic
1112	#95	C₂³×C₁₃	1	1	yes	characteristic
1113	#95	C₂³×C₁₃	1	1	yes	characteristic
1114	#95	C₂³×C₁₃	1	1	yes	characteristic
1115	#95	C₂³×C₁₃	1	1	yes	characteristic
1116	#95	C₂³×C₁₃	1	1	yes	characteristic
1117	#95	C₂³×C₁₃	1	1	yes	characteristic
1118	#95	C₂³×C₁₃	1	1	yes	characteristic
1119	#95	C₂³×C₁₃	1	1	yes	characteristic
1120	#95	C₂³×C₁₃	1	1	yes	characteristic
1121	#95	C₂³×C₁₃	1	1	yes	characteristic
1122	#95	C₂³×C₁₃	1	1	yes	characteristic
1123	#95	C₂³×C₁₃	1	1	yes	characteristic
1124	#95	C₂³×C₁₃	1	1	yes	characteristic
1125	#95	C₂³×C₁₃	1	1	yes	characteristic
1126	#95	C₂³×C₁₃	1	1	yes	characteristic
1127	#95	C₂³×C₁₃	1	1	yes	characteristic
1128	#95	C₂³×C₁₃	1	1	yes	characteristic
1129	#95	C₂³×C₁₃	1	1	yes	characteristic
1130	#95	C₂³×C₁₃	1	1	yes	characteristic
1131	#95	C₂³×C₁₃	1	1	yes	characteristic
1132	#95	C₂³×C₁₃	1	1	yes	characteristic
1133	#95	C₂³×C₁₃	1	1	yes	characteristic
1134	#95	C₂³×C₁₃	1	1	yes	characteristic
1135	#95	C₂³×C₁₃	1	1	yes	characteristic
1136	#95	C₂³×C₁₃	1	1	yes	characteristic
1137	#95	C₂³×C₁₃	1	1	yes	characteristic
1138	#95	C₂³×C₁₃	1	1	yes	characteristic
1139	C₂×C₁₃	—	4	2	no	—
1140	C₂×C₁₃	—	4	2	no	—
1141	C₂×C₁₃	—	4	2	no	—
1142	C₂×C₁₃	—	4	2	no	—
1143	C₂×C₁₃	—	4	2	no	—
1144	C₂×C₁₃	#3428	1	1	yes	characteristic
1145	C₂×C₁₃	C₄×H(5,𝔽₂)	1	1	yes	characteristic
1146	C₂×C₁₃	C₄×H(5,𝔽₂)	1	1	yes	characteristic
1147	C₂×C₁₃	#3534	1	1	yes	characteristic
1148	C₂×C₁₃	#3539	1	1	yes	characteristic
1149	C₂×C₁₃	#3562	1	1	yes	characteristic
1150	C₂×C₁₃	#3566	1	1	yes	characteristic
1151	C₂⁴	C₂⁴×C₁₃	1	1	yes	characteristic
1152	C₂⁴	C₂⁴×C₁₃	1	1	yes	characteristic
1153	C₂⁴	C₂⁴×C₁₃	1	1	yes	characteristic
1154	C₂⁴	C₂⁴×C₁₃	1	1	yes	characteristic
1155	C₂⁴	C₂⁴×C₁₃	1	1	yes	characteristic
1156	C₂×D₄	—	4	1	no	—
1157	C₂×D₄	—	4	1	no	—
1158	C₂×D₄	—	4	1	no	—
1159	C₂×D₄	—	4	1	no	—
1160	C₂×D₄	—	4	1	no	—
1161	C₂×D₄	—	4	1	no	—
1162	C₂×D₄	—	4	1	no	—
1163	C₂×D₄	—	4	1	no	—
1164	C₂×D₄	—	4	1	no	—
1165	C₂×D₄	—	4	1	no	—
1166	C₂×D₄	—	4	1	no	—
1167	C₂×D₄	—	4	1	no	—
1168	C₂×D₄	—	4	1	no	—
1169	C₂×D₄	—	4	1	no	—
1170	C₂×D₄	—	4	1	no	—
1171	C₂×D₄	—	4	1	no	—
1172	C₂×D₄	—	4	1	no	—
1173	C₂×D₄	—	4	1	no	—
1174	C₂×D₄	—	4	1	no	—
1175	C₂×D₄	—	4	1	no	—
1176	C₂×D₄	C₂²×C₄×C₁₃	1	4	yes	—
1177	C₂×D₄	C₂²×C₄×C₁₃	1	4	yes	—
1178	C₂×D₄	C₂²×C₄×C₁₃	1	4	yes	—
1179	C₂×D₄	C₂²×C₄×C₁₃	1	4	yes	—
1180	C₂×D₄	C₂²×C₄×C₁₃	1	4	yes	—
1181	C₂×D₄	C₂²×C₄×C₁₃	1	4	yes	—
1182	C₂×D₄	C₂²×C₄×C₁₃	1	4	yes	—
1183	C₂×D₄	C₂²×C₄×C₁₃	1	4	yes	—
1184	C₂×D₄	C₂²×C₄×C₁₃	1	4	yes	—
1185	C₂×D₄	C₂²×C₄×C₁₃	1	4	yes	—
1186	C₂²×C₄	—	2	2	no	—
1187	C₂²×C₄	—	2	2	no	—
1188	C₂²×C₄	—	2	2	no	—
1189	C₂²×C₄	—	2	2	no	—
1190	C₂²×C₄	—	2	2	no	—
1191	C₂²×C₄	—	4	1	no	—
1192	C₂²×C₄	—	4	1	no	—
1193	C₂²×C₄	—	4	1	no	—
1194	C₂²×C₄	—	4	1	no	—
1195	C₂²×C₄	—	4	1	no	—
1196	C₂²×C₄	—	4	1	no	—
1197	C₂²×C₄	—	4	1	no	—
1198	C₂²×C₄	—	4	1	no	—
1199	C₂²×C₄	—	4	1	no	—
1200	C₂²×C₄	—	4	1	no	—
1201	C₂²×C₄	—	4	1	no	—
1202	C₂²×C₄	—	4	1	no	—
1203	C₂²×C₄	—	4	1	no	—
1204	C₂²×C₄	—	4	1	no	—
1205	C₂²×C₄	—	4	1	no	—
1206	C₂²×C₄	—	4	1	no	—
1207	C₂²×C₄	—	4	1	no	—
1208	C₂²×C₄	—	4	1	no	—
1209	C₂²×C₄	—	4	1	no	—
1210	C₂²×C₄	—	4	1	no	—
1211	C₂²×C₄	—	4	1	no	—
1212	C₂²×C₄	—	4	1	no	—
1213	C₂²×C₄	—	4	1	no	—
1214	C₂²×C₄	—	4	1	no	—
1215	C₂²×C₄	—	4	1	no	—
1216	C₂²×C₄	—	4	1	no	—
1217	C₂²×C₄	—	4	1	no	—
1218	C₂²×C₄	—	4	1	no	—
1219	C₂²×C₄	—	4	1	no	—
1220	C₂²×C₄	—	4	1	no	—
1221	C₂²×C₄	—	4	1	no	—
1222	C₂²×C₄	—	4	1	no	—
1223	C₂²×C₄	—	4	1	no	—
1224	C₂²×C₄	—	4	1	no	—
1225	C₂²×C₄	—	4	1	no	—
1226	C₂²×C₄	C₂²×C₄×C₁₃	1	4	yes	—
1227	C₂²×C₄	C₂²×C₄×C₁₃	1	4	yes	—
1228	C₂²×C₄	C₂²×C₄×C₁₃	1	4	yes	—
1229	C₂²×C₄	C₂²×C₄×C₁₃	1	4	yes	—
1230	C₂²×C₄	C₂²×C₄×C₁₃	1	4	yes	—
1231	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1232	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1233	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1234	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1235	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1236	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1237	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1238	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1239	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1240	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1241	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1242	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1243	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1244	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1245	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1246	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1247	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1248	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1249	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1250	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1251	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1252	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1253	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1254	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1255	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1256	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1257	C₄⋊C₄	—	2	2	no	—
1258	C₄⋊C₄	—	2	2	no	—
1259	C₄⋊C₄	—	2	2	no	—
1260	C₄⋊C₄	—	2	2	no	—
1261	C₄⋊C₄	—	2	2	no	—
1262	C₄⋊C₄	—	4	1	no	—
1263	C₄⋊C₄	—	4	1	no	—
1264	C₄⋊C₄	—	4	1	no	—
1265	C₄⋊C₄	—	4	1	no	—
1266	C₄⋊C₄	—	4	1	no	—
1267	C₄⋊C₄	—	4	1	no	—
1268	C₄⋊C₄	—	4	1	no	—
1269	C₄⋊C₄	—	4	1	no	—
1270	C₄⋊C₄	—	4	1	no	—
1271	C₄⋊C₄	—	4	1	no	—
1272	C₄⋊C₄	—	4	1	no	—
1273	C₄⋊C₄	—	4	1	no	—
1274	C₄⋊C₄	—	4	1	no	—
1275	C₄⋊C₄	C₂²×C₄×C₁₃	1	4	yes	—
1276	C₄⋊C₄	C₂²×C₄×C₁₃	1	4	yes	—
1277	C₄⋊C₄	C₂²×C₄×C₁₃	1	4	yes	—
1278	C₄⋊C₄	C₂²×C₄×C₁₃	1	4	yes	—
1279	C₄⋊C₄	C₂²×C₄×C₁₃	1	4	yes	—
1280	C₄⋊C₄	C₂²×C₄×C₁₃	1	4	yes	—
1281	C₄⋊C₄	C₂²×C₄×C₁₃	1	4	yes	—
1282	C₄⋊C₄	C₂²×C₄×C₁₃	1	4	yes	—
1283	C₂²⋊C₄	—	2	2	no	—
1284	C₂²⋊C₄	—	2	2	no	—
1285	C₂²⋊C₄	—	2	2	no	—
1286	C₂²⋊C₄	—	2	2	no	—
1287	C₂²⋊C₄	—	2	2	no	—
1288	C₂²⋊C₄	—	4	1	no	—
1289	C₂²⋊C₄	—	4	1	no	—
1290	C₂²⋊C₄	—	4	1	no	—
1291	C₂²⋊C₄	—	4	1	no	—
1292	C₂²⋊C₄	—	4	1	no	—
1293	C₂²⋊C₄	—	4	1	no	—
1294	C₂²⋊C₄	—	4	1	no	—
1295	C₂²⋊C₄	—	4	1	no	—
1296	C₂²⋊C₄	—	4	1	no	—
1297	C₂²⋊C₄	—	4	1	no	—
1298	C₂²⋊C₄	—	4	1	no	—
1299	C₂²⋊C₄	—	4	1	no	—
1300	C₂²⋊C₄	—	4	1	no	—
1301	C₂²⋊C₄	—	4	1	no	—
1302	C₂²⋊C₄	—	4	1	no	—
1303	C₂²⋊C₄	—	4	1	no	—
1304	C₂²⋊C₄	—	4	1	no	—
1305	C₂²⋊C₄	—	4	1	no	—
1306	C₂²⋊C₄	—	4	1	no	—
1307	C₂²⋊C₄	—	4	1	no	—
1308	C₂²⋊C₄	—	4	1	no	—
1309	C₂²⋊C₄	—	4	1	no	—
1310	C₂²⋊C₄	—	4	1	no	—
1311	C₂²⋊C₄	—	4	1	no	—
1312	C₂²⋊C₄	—	4	1	no	—
1313	C₂²⋊C₄	C₂²×C₄×C₁₃	1	4	yes	—
1314	C₂²⋊C₄	C₂²×C₄×C₁₃	1	4	yes	—
1315	C₂²⋊C₄	C₂²×C₄×C₁₃	1	4	yes	—
1316	C₂²⋊C₄	C₂²×C₄×C₁₃	1	4	yes	—
1317	C₂²⋊C₄	C₂²×C₄×C₁₃	1	4	yes	—
1318	C₂²⋊C₄	C₂²×C₄×C₁₃	1	4	yes	—
1319	C₂²⋊C₄	C₂²×C₄×C₁₃	1	4	yes	—
1320	C₂²⋊C₄	C₂²×C₄×C₁₃	1	4	yes	—
1321	C₂²⋊C₄	C₂²×C₄×C₁₃	1	4	yes	—
1322	C₂²⋊C₄	C₂²×C₄×C₁₃	1	4	yes	—
1323	C₄²	—	2	2	no	—
1324	C₄²	—	2	2	no	—
1325	C₄²	—	2	2	no	—
1326	C₄²	—	4	1	no	—
1327	C₄²	—	4	1	no	—
1328	C₄²	—	4	1	no	—
1329	C₄²	—	4	1	no	—
1330	C₄²	—	4	1	no	—
1331	C₄²	—	4	1	no	—
1332	C₄²	—	4	1	no	—
1333	C₄²	—	4	1	no	—
1334	C₄²	—	4	1	no	—
1335	C₄²	—	4	1	no	—
1336	C₄²	—	4	1	no	—
1337	C₄²	—	4	1	no	—
1338	C₄²	—	4	1	no	—
1339	C₄²	—	4	1	no	—
1340	C₄²	—	4	1	no	—
1341	C₄²	C₂²×C₄×C₁₃	1	4	yes	—
1342	C₄²	C₂²×C₄×C₁₃	1	4	yes	—
1343	C₁₃	#34442	1	1	yes	characteristic, direct product factor, Sylow
1344	C₂³	—	2	1	no	—
1345	C₂³	—	2	1	no	—
1346	C₂³	—	2	1	no	—
1347	C₂³	—	2	1	no	—
1348	C₂³	—	2	1	no	—
1349	C₂³	—	2	1	no	—
1350	C₂³	—	2	1	no	—
1351	C₂³	—	2	1	no	—
1352	C₂³	—	2	1	no	—
1353	C₂³	—	2	1	no	—
1354	C₂³	—	2	1	no	—
1355	C₂³	—	2	1	no	—
1356	C₂³	—	2	1	no	—
1357	C₂³	—	2	1	no	—
1358	C₂³	—	2	1	no	—
1359	C₂³	—	2	1	no	—
1360	C₂³	—	2	1	no	—
1361	C₂³	—	2	1	no	—
1362	C₂³	—	2	1	no	—
1363	C₂³	—	2	1	no	—
1364	C₂³	—	2	1	no	—
1365	C₂³	—	2	1	no	—
1366	C₂³	—	2	1	no	—
1367	C₂³	—	2	1	no	—
1368	C₂³	—	2	1	no	—
1369	C₂³	—	2	1	no	—
1370	C₂³	—	2	1	no	—
1371	C₂³	—	2	1	no	—
1372	C₂³	—	2	1	no	—
1373	C₂³	—	2	1	no	—
1374	C₂³	C₂³×C₄×C₁₃	1	2	yes	—
1375	C₂³	C₂³×C₄×C₁₃	1	2	yes	—
1376	C₂³	C₂³×C₄×C₁₃	1	2	yes	—
1377	C₂³	C₂³×C₄×C₁₃	1	2	yes	—
1378	C₂³	C₂³×C₄×C₁₃	1	2	yes	—
1379	C₂³	C₂⁵×C₁₃	1	1	yes	characteristic
1380	D₄	—	4	4	no	—
1381	D₄	—	4	4	no	—
1382	D₄	—	4	4	no	—
1383	D₄	—	4	4	no	—
1384	D₄	—	4	4	no	—
1385	D₄	—	4	4	no	—
1386	D₄	—	4	4	no	—
1387	D₄	—	4	4	no	—
1388	D₄	—	4	4	no	—
1389	D₄	—	4	4	no	—
1390	C₂×C₄	—	2	1	no	—
1391	C₂×C₄	—	2	1	no	—
1392	C₂×C₄	—	2	1	no	—
1393	C₂×C₄	—	2	1	no	—
1394	C₂×C₄	—	2	1	no	—
1395	C₂×C₄	—	2	1	no	—
1396	C₂×C₄	—	2	1	no	—
1397	C₂×C₄	—	2	1	no	—
1398	C₂×C₄	—	2	1	no	—
1399	C₂×C₄	—	2	1	no	—
1400	C₂×C₄	—	2	1	no	—
1401	C₂×C₄	—	2	1	no	—
1402	C₂×C₄	—	2	1	no	—
1403	C₂×C₄	—	2	1	no	—
1404	C₂×C₄	—	2	1	no	—
1405	C₂×C₄	—	2	1	no	—
1406	C₂×C₄	—	2	1	no	—
1407	C₂×C₄	—	2	1	no	—
1408	C₂×C₄	—	2	1	no	—
1409	C₂×C₄	—	2	1	no	—
1410	C₂×C₄	—	2	1	no	—
1411	C₂×C₄	—	2	1	no	—
1412	C₂×C₄	—	2	1	no	—
1413	C₂×C₄	—	2	1	no	—
1414	C₂×C₄	—	2	1	no	—
1415	C₂×C₄	—	2	1	no	—
1416	C₂×C₄	—	2	1	no	—
1417	C₂×C₄	—	2	1	no	—
1418	C₂×C₄	—	2	1	no	—
1419	C₂×C₄	—	2	1	no	—
1420	C₂×C₄	—	2	1	no	—
1421	C₂×C₄	—	2	1	no	—
1422	C₂×C₄	—	2	1	no	—
1423	C₂×C₄	—	2	1	no	—
1424	C₂×C₄	—	2	1	no	—
1425	C₂×C₄	—	2	1	no	—
1426	C₂×C₄	—	2	1	no	—
1427	C₂×C₄	—	2	1	no	—
1428	C₂×C₄	—	2	1	no	—
1429	C₂×C₄	—	2	1	no	—
1430	C₂×C₄	—	2	1	no	—
1431	C₂×C₄	—	2	1	no	—
1432	C₂×C₄	—	2	1	no	—
1433	C₂×C₄	—	2	1	no	—
1434	C₂×C₄	—	2	1	no	—
1435	C₂×C₄	—	2	1	no	—
1436	C₂×C₄	—	2	1	no	—
1437	C₂×C₄	—	2	1	no	—
1438	C₂×C₄	—	2	1	no	—
1439	C₂×C₄	—	2	1	no	—
1440	C₂×C₄	—	2	1	no	—
1441	C₂×C₄	—	2	1	no	—
1442	C₂×C₄	—	2	1	no	—
1443	C₂×C₄	—	2	1	no	—
1444	C₂×C₄	—	2	1	no	—
1445	C₂×C₄	—	2	1	no	—
1446	C₂×C₄	—	2	1	no	—
1447	C₂×C₄	—	2	1	no	—
1448	C₂×C₄	—	2	1	no	—
1449	C₂×C₄	—	2	1	no	—
1450	C₂×C₄	—	2	1	no	—
1451	C₂×C₄	—	2	1	no	—
1452	C₂×C₄	—	2	1	no	—
1453	C₂×C₄	—	2	1	no	—
1454	C₂×C₄	—	2	1	no	—
1455	C₂×C₄	—	2	1	no	—
1456	C₂×C₄	—	4	4	no	—
1457	C₂×C₄	—	4	4	no	—
1458	C₂×C₄	—	4	4	no	—
1459	C₂×C₄	—	4	4	no	—
1460	C₂×C₄	—	4	4	no	—
1461	C₂×C₄	—	4	4	no	—
1462	C₂×C₄	—	4	4	no	—
1463	C₂×C₄	—	8	2	no	—
1464	C₂×C₄	—	8	2	no	—
1465	C₂×C₄	—	8	2	no	—
1466	C₂×C₄	—	8	2	no	—
1467	C₂×C₄	—	8	2	no	—
1468	C₂×C₄	—	8	2	no	—
1469	C₂×C₄	—	8	2	no	—
1470	C₂×C₄	—	8	2	no	—
1471	C₂×C₄	C₂³×C₄×C₁₃	1	2	yes	—
1472	C₂×C₄	C₂³×C₄×C₁₃	1	2	yes	—
1473	C₂×C₄	C₂³×C₄×C₁₃	1	2	yes	—
1474	C₂×C₄	C₂³×C₄×C₁₃	1	2	yes	—
1475	C₂×C₄	C₂³×C₄×C₁₃	1	2	yes	—
1476	C₂×C₄	C₂³×C₄×C₁₃	1	2	yes	—
1477	C₂×C₄	C₂³×C₄×C₁₃	1	2	yes	—
1478	C₂×C₄	C₂³×C₄×C₁₃	1	2	yes	—
1479	C₂×C₄	C₂³×C₄×C₁₃	1	2	yes	—
1480	C₂×C₄	C₂³×C₄×C₁₃	1	2	yes	—
1481	C₂×C₄	C₁₃×H(5,𝔽₂)	1	2	yes	—
1482	C₂×C₄	C₁₃×H(5,𝔽₂)	1	2	yes	—
1483	C₂²	—	2	2	no	—
1484	C₂²	—	2	2	no	—
1485	C₂²	—	2	2	no	—
1486	C₂²	—	2	2	no	—
1487	C₂²	—	2	2	no	—
1488	C₂²	—	2	2	no	—
1489	C₂²	—	2	2	no	—
1490	C₂²	—	2	2	no	—
1491	C₂²	—	2	2	no	—
1492	C₂²	—	2	2	no	—
1493	C₂²	—	2	2	no	—
1494	C₂²	—	2	2	no	—
1495	C₂²	—	2	2	no	—
1496	C₂²	—	2	2	no	—
1497	C₂²	—	2	2	no	—
1498	C₂²	—	4	1	no	—
1499	C₂²	—	4	1	no	—
1500	C₂²	—	4	1	no	—
1501	C₂²	—	4	1	no	—
1502	C₂²	—	4	1	no	—
1503	C₂²	—	4	1	no	—
1504	C₂²	—	4	1	no	—
1505	C₂²	—	4	1	no	—
1506	C₂²	—	4	1	no	—
1507	C₂²	—	4	1	no	—
1508	C₂²	—	4	1	no	—
1509	C₂²	—	4	1	no	—
1510	C₂²	—	4	1	no	—
1511	C₂²	—	4	1	no	—
1512	C₂²	—	4	1	no	—
1513	C₂²	—	4	1	no	—
1514	C₂²	—	4	1	no	—
1515	C₂²	—	4	1	no	—
1516	C₂²	—	4	1	no	—
1517	C₂²	—	4	1	no	—
1518	C₂²	C₂⁴×C₄×C₁₃	1	1	yes	characteristic
1519	C₂²	C₂×C₁₃×H(5,𝔽₂)	1	1	yes	characteristic
1520	C₂²	C₂×C₁₃×H(5,𝔽₂)	1	1	yes	characteristic
1521	C₂²	C₁₃×#585	1	1	yes	characteristic
1522	C₂²	C₁₃×#585	1	1	yes	characteristic
1523	C₂²	C₁₃×#585	1	1	yes	characteristic
1524	C₂²	C₁₃×#585	1	1	yes	characteristic
1525	C₄	—	2	2	no	—
1526	C₄	—	2	2	no	—
1527	C₄	—	2	2	no	—
1528	C₄	—	2	2	no	—
1529	C₄	—	2	2	no	—
1530	C₄	—	2	2	no	—
1531	C₄	—	2	2	no	—
1532	C₄	—	2	2	no	—
1533	C₄	—	2	2	no	—
1534	C₄	—	2	2	no	—
1535	C₄	—	2	2	no	—
1536	C₄	—	2	2	no	—
1537	C₄	—	4	1	no	—
1538	C₄	—	4	1	no	—
1539	C₄	—	4	1	no	—
1540	C₄	—	4	1	no	—
1541	C₄	—	4	1	no	—
1542	C₄	—	4	1	no	—
1543	C₄	—	4	1	no	—
1544	C₄	—	4	1	no	—
1545	C₄	—	4	1	no	—
1546	C₄	—	4	1	no	—
1547	C₄	—	4	1	no	—
1548	C₄	—	4	1	no	—
1549	C₄	—	4	1	no	—
1550	C₄	—	4	1	no	—
1551	C₂	—	4	2	no	—
1552	C₂	—	4	2	no	—
1553	C₂	—	4	2	no	—
1554	C₂	—	4	2	no	—
1555	C₂	—	4	2	no	—
1556	C₂	C₁₃×#3428	1	1	yes	characteristic
1557	C₂	C₄×C₁₃×H(5,𝔽₂)	1	1	yes	characteristic
1558	C₂	C₄×C₁₃×H(5,𝔽₂)	1	1	yes	characteristic
1559	C₂	C₁₃×#3534	1	1	yes	characteristic
1560	C₂	C₁₃×#3539	1	1	yes	characteristic
1561	C₂	C₁₃×#3562	1	1	yes	characteristic
1562	C₂	C₁₃×#3566	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂³×C₁₃	C₂⁵
commutator	C₂²	C₂⁴×C₄×C₁₃
Frattini, cosocle	C₂³	C₂⁵×C₁₃
prime radical	C₂×C₁₃×#540	C₂
LCS	G ▷ C₂² ▷ C₁
UCS	C₁ ◁ C₂³×C₁₃ ◁ G

Complements

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

N	H ≅ G/N	type
2. C₁₃×#2380	C₂	semidirect
3. C₁₃×#2377	C₂	semidirect
4. C₁₃×#2377	C₂	semidirect
5. C₁₃×#2376	C₂	semidirect
6. C₁₃×#2374	C₂	semidirect
7. C₁₃×#2366	C₂	semidirect
8. C₁₃×#2364	C₂	semidirect
9. C₁₃×#2364	C₂	semidirect
10. C₁₃×#2363	C₂	semidirect
11. C₁₃×#2361	C₂	semidirect
12. C₁₃×#2359	C₂	semidirect
13. C₁₃×#2359	C₂	semidirect
14. C₁₃×#2353	C₂	semidirect
15. C₁₃×#2352	C₂	semidirect
16. C₁₃×#2347	C₂	semidirect
17. C₁₃×#2343	C₂	semidirect
18. C₁₃×#2336	C₂	semidirect
19. C₁₃×#2336	C₂	semidirect
20. C₁₃×#2335	C₂	semidirect
21. C₁₃×#2335	C₂	semidirect
22. C₁₃×#2333	C₂	semidirect
23. C₁₃×#2333	C₂	semidirect
24. C₁₃×#2325	C₂	semidirect
25. C₁₃×#2325	C₂	semidirect
26. C₁₃×#2324	C₂	semidirect
27. C₁₃×#2322	C₂	semidirect
28. C₁₃×#2318	C₂	semidirect
29. C₄×C₁₃×#123	C₂	semidirect
30. C₄×C₁₃×#121	C₂	semidirect
31. C₁₃×#2290	C₂	semidirect
32. C₁₃×#540	C₄	semidirect
213. C₁₃×#127	C₂×C₄	semidirect
214. C₁₃×#125	C₂×C₄	semidirect
215. C₁₃×#123	C₂×C₄	semidirect
216. C₁₃×#123	C₂×C₄	semidirect
217. C₁₃×#123	C₂×C₄	semidirect
218. C₁₃×#123	C₂×C₄	semidirect
219. C₁₃×#121	C₂×C₄	semidirect
220. C₁₃×#121	C₂×C₄	semidirect
221. C₁₃×#121	C₂×C₄	semidirect
222. C₁₃×#121	C₂×C₄	semidirect
223. C₁₃×#121	C₂×C₄	semidirect
224. C₁₃×#121	C₂×C₄	semidirect
233. C₄×D₄×C₁₃	C₂×C₄	semidirect
234. C₄×D₄×C₁₃	C₂×C₄	semidirect
237. C₁₃×#117	C₂×C₄	semidirect
370. #34442	C₁₃	direct (N × H)
564. #2380	C₂×C₁₃	semidirect
565. #2377	C₂×C₁₃	semidirect
566. #2377	C₂×C₁₃	semidirect
567. #2376	C₂×C₁₃	semidirect
568. #2374	C₂×C₁₃	semidirect
569. #2366	C₂×C₁₃	semidirect
570. #2364	C₂×C₁₃	semidirect
571. #2364	C₂×C₁₃	semidirect
572. #2363	C₂×C₁₃	semidirect
573. #2361	C₂×C₁₃	semidirect
574. #2359	C₂×C₁₃	semidirect
575. #2359	C₂×C₁₃	semidirect
576. #2353	C₂×C₁₃	semidirect
577. #2352	C₂×C₁₃	semidirect
578. #2347	C₂×C₁₃	semidirect
579. #2343	C₂×C₁₃	semidirect
580. #2336	C₂×C₁₃	semidirect
581. #2336	C₂×C₁₃	semidirect
582. #2335	C₂×C₁₃	semidirect
583. #2335	C₂×C₁₃	semidirect
584. #2333	C₂×C₁₃	semidirect
585. #2333	C₂×C₁₃	semidirect
586. #2325	C₂×C₁₃	semidirect
587. #2325	C₂×C₁₃	semidirect
588. #2324	C₂×C₁₃	semidirect
589. #2322	C₂×C₁₃	semidirect
590. #2318	C₂×C₁₃	semidirect
591. C₄×#123	C₂×C₁₃	semidirect
592. C₄×#121	C₂×C₁₃	semidirect
593. #2290	C₂×C₁₃	semidirect
733. #540	C₄×C₁₃	semidirect
982. #127	C₂×C₄×C₁₃	semidirect
983. #125	C₂×C₄×C₁₃	semidirect
984. #123	C₂×C₄×C₁₃	semidirect
985. #123	C₂×C₄×C₁₃	semidirect
986. #123	C₂×C₄×C₁₃	semidirect
987. #123	C₂×C₄×C₁₃	semidirect
988. #121	C₂×C₄×C₁₃	semidirect
989. #121	C₂×C₄×C₁₃	semidirect
990. #121	C₂×C₄×C₁₃	semidirect
991. #121	C₂×C₄×C₁₃	semidirect
992. #121	C₂×C₄×C₁₃	semidirect
993. #121	C₂×C₄×C₁₃	semidirect
1002. C₄×D₄	C₂×C₄×C₁₃	semidirect
1003. C₄×D₄	C₂×C₄×C₁₃	semidirect
1006. #117	C₂×C₄×C₁₃	semidirect
1343. C₁₃	#34442	direct (N × H)

Maximal subgroups

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

subgroup	index
C₂×C₁₃×#540	2
C₁₃×#2380	2
C₁₃×#2377	2
C₁₃×#2376	2
C₁₃×#2374	2
C₁₃×#2366	2
C₁₃×#2364	2
C₁₃×#2363	2
C₁₃×#2361	2
C₁₃×#2359	2
C₁₃×#2353	2
C₁₃×#2352	2
C₁₃×#2347	2
C₁₃×#2343	2
C₁₃×#2336	2
C₁₃×#2335	2
C₁₃×#2333	2
C₁₃×#2325	2
C₁₃×#2324	2
C₁₃×#2322	2
C₁₃×#2318	2
C₄×C₁₃×#123	2
C₄×C₁₃×#121	2
C₁₃×#2290	2
#34442	13

Subgroups — C13×#34442 #15720781

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₃×#34442 #15720781