Subgroups — C₁₃×#36904 #15723243

Order 3328.

2042 conjugacy classes of subgroups.

The subgroup lattice has 1618 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₁₃×#2848	C₂	1	1	yes	maximal, characteristic, complemented
2	C₁₃×#2847	C₂	1	1	yes	maximal, characteristic, complemented
3	C₁₃×#2780	C₂	1	1	yes	maximal, characteristic, complemented
4	C₁₃×#2770	C₂	1	1	yes	maximal, characteristic, complemented
5	C₁₃×#2756	C₂	1	1	yes	maximal, characteristic, complemented
6	C₁₃×#2741	C₂	1	1	yes	maximal, characteristic, complemented
7	C₁₃×#2730	C₂	1	1	yes	maximal, characteristic, complemented
8	C₁₃×#2715	C₂	1	1	yes	maximal, characteristic, complemented
9	C₁₃×#2711	C₂	1	1	yes	maximal, characteristic, complemented
10	C₁₃×#2704	C₂	1	1	yes	maximal, characteristic, complemented
11	C₁₃×#2697	C₂	1	1	yes	maximal, characteristic, complemented
12	C₁₃×#2692	C₂	1	1	yes	maximal, characteristic, complemented
13	C₁₃×#2685	C₂	1	1	yes	maximal, characteristic, complemented
14	C₁₃×#2678	C₂	1	1	yes	maximal, characteristic, complemented
15	C₁₃×#2676	C₂	1	1	yes	maximal, characteristic, complemented
16	C₁₃×#2672	C₂	1	1	yes	maximal, characteristic, complemented
17	C₁₃×#2671	C₂	1	1	yes	maximal, characteristic, complemented
18	C₁₃×#2670	C₂	1	1	yes	maximal, characteristic, complemented
19	C₁₃×#2636	C₂	1	1	yes	maximal, characteristic, complemented
20	C₁₃×#2630	C₂	1	1	yes	maximal, characteristic, complemented
21	C₁₃×#2574	C₂	1	1	yes	maximal, characteristic, complemented
22	C₁₃×#2560	C₂	1	1	yes	maximal, characteristic, complemented
23	C₁₃×#2559	C₂	1	1	yes	maximal, characteristic, complemented
24	C₁₃×#2553	C₂	1	1	yes	maximal, characteristic, complemented
25	C₁₃×#2464	C₂	1	1	yes	maximal, characteristic, complemented
26	C₁₃×#2461	C₂	1	1	yes	maximal, characteristic, complemented
27	C₁₃×#2454	C₂	1	1	yes	maximal, characteristic, complemented
28	C₁₃×#2427	C₂	1	1	yes	maximal, characteristic, complemented
29	C₁₃×#2337	C₂	1	1	yes	maximal, characteristic, complemented
30	C₁₃×#2335	C₂	1	1	yes	maximal, characteristic, complemented
31	C₄×C₁₃×#120	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂⁴×C₄×C₁₃	C₂²	1	1	yes	characteristic
33	C₂×C₁₃×#126	C₂²	1	1	yes	characteristic
34	C₂×C₁₃×#126	C₂²	1	1	yes	characteristic, complemented
35	C₂×C₁₃×#125	C₂²	1	1	yes	characteristic, complemented
36	C₂×C₁₃×#124	C₂²	1	1	yes	characteristic
37	C₂×C₁₃×#124	C₂²	1	1	yes	characteristic
38	C₂×C₁₃×#124	C₂²	1	1	yes	characteristic, complemented
39	C₂×C₁₃×#123	C₂²	1	1	yes	characteristic
40	C₂×C₁₃×#123	C₂²	1	1	yes	characteristic
41	C₂×C₁₃×#123	C₂²	1	1	yes	characteristic, complemented
42	C₂×C₁₃×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
43	C₂×C₁₃×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
44	C₂×C₁₃×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
45	C₂×C₁₃×C₂²⋊Q₈	C₂²	1	1	yes	characteristic, complemented
46	C₂×C₁₃×#121	C₂²	1	1	yes	characteristic
47	C₂×C₁₃×#121	C₂²	1	1	yes	characteristic
48	C₂×C₁₃×#121	C₂²	1	1	yes	characteristic
49	C₂×C₁₃×#121	C₂²	1	1	yes	characteristic
50	C₂×C₁₃×#121	C₂²	1	1	yes	characteristic, complemented
51	C₂×C₁₃×#120	C₂²	1	1	yes	characteristic
52	C₂×C₁₃×#120	C₂²	1	1	yes	characteristic
53	C₂×C₁₃×#120	C₂²	1	1	yes	characteristic
54	C₂×C₄×D₄×C₁₃	C₂²	1	1	yes	characteristic
55	C₂×C₄×D₄×C₁₃	C₂²	1	1	yes	characteristic
56	C₂×C₄×D₄×C₁₃	C₂²	1	1	yes	characteristic
57	C₁₃×#400	C₂²	1	1	yes	characteristic, complemented
58	C₁₃×#400	C₂²	1	1	yes	characteristic, complemented
59	C₁₃×#399	C₂²	1	1	yes	characteristic
60	C₁₃×#399	C₂²	1	1	yes	characteristic, complemented
61	C₁₃×#399	C₂²	1	1	yes	characteristic, complemented
62	C₁₃×#399	C₂²	1	1	yes	characteristic, complemented
63	C₁₃×#398	C₂²	1	1	yes	characteristic, complemented
64	C₁₃×#398	C₂²	1	1	yes	characteristic, complemented
65	C₁₃×#398	C₂²	1	1	yes	characteristic, complemented
66	C₁₃×#398	C₂²	1	1	yes	characteristic, complemented
67	C₁₃×#398	C₂²	1	1	yes	characteristic, complemented
68	C₁₃×#397	C₂²	1	1	yes	characteristic
69	C₁₃×#397	C₂²	1	1	yes	characteristic
70	C₁₃×#397	C₂²	1	1	yes	characteristic
71	C₁₃×#397	C₂²	1	1	yes	characteristic, complemented
72	C₁₃×#397	C₂²	1	1	yes	characteristic, complemented
73	C₁₃×#396	C₂²	1	1	yes	characteristic
74	C₁₃×#396	C₂²	1	1	yes	characteristic
75	C₁₃×#396	C₂²	1	1	yes	characteristic
76	C₁₃×#396	C₂²	1	1	yes	characteristic
77	C₁₃×#396	C₂²	1	1	yes	characteristic, complemented
78	C₁₃×#396	C₂²	1	1	yes	characteristic, complemented
79	C₁₃×#396	C₂²	1	1	yes	characteristic, complemented
80	C₁₃×#396	C₂²	1	1	yes	characteristic, complemented
81	C₁₃×#395	C₂²	1	1	yes	characteristic, complemented
82	C₁₃×#395	C₂²	1	1	yes	characteristic, complemented
83	C₁₃×#394	C₂²	1	1	yes	characteristic
84	C₁₃×#394	C₂²	1	1	yes	characteristic
85	C₁₃×#394	C₂²	1	1	yes	characteristic
86	C₁₃×#394	C₂²	1	1	yes	characteristic
87	C₁₃×#394	C₂²	1	1	yes	characteristic
88	C₁₃×#394	C₂²	1	1	yes	characteristic
89	C₁₃×#394	C₂²	1	1	yes	characteristic
90	C₁₃×#394	C₂²	1	1	yes	characteristic
91	C₁₃×#394	C₂²	1	1	yes	characteristic
92	C₁₃×#394	C₂²	1	1	yes	characteristic
93	C₁₃×#394	C₂²	1	1	yes	characteristic, complemented
94	C₁₃×#394	C₂²	1	1	yes	characteristic, complemented
95	C₁₃×#394	C₂²	1	1	yes	characteristic, complemented
96	C₁₃×#394	C₂²	1	1	yes	characteristic, complemented
97	C₁₃×#394	C₂²	1	1	yes	characteristic, complemented
98	C₁₃×#393	C₂²	1	1	yes	characteristic
99	C₁₃×#393	C₂²	1	1	yes	characteristic, complemented
100	C₁₃×#392	C₂²	1	1	yes	characteristic
101	C₁₃×#392	C₂²	1	1	yes	characteristic
102	C₁₃×#392	C₂²	1	1	yes	characteristic
103	C₁₃×#392	C₂²	1	1	yes	characteristic
104	C₁₃×#392	C₂²	1	1	yes	characteristic
105	C₁₃×#391	C₂²	1	1	yes	characteristic, complemented
106	C₁₃×#391	C₂²	1	1	yes	characteristic, complemented
107	C₁₃×#391	C₂²	1	1	yes	characteristic, complemented
108	C₁₃×#390	C₂²	1	1	yes	characteristic
109	C₁₃×#390	C₂²	1	1	yes	characteristic
110	C₁₃×#390	C₂²	1	1	yes	characteristic
111	C₁₃×#390	C₂²	1	1	yes	characteristic
112	C₁₃×#390	C₂²	1	1	yes	characteristic
113	C₁₃×#390	C₂²	1	1	yes	characteristic
114	C₁₃×#390	C₂²	1	1	yes	characteristic
115	C₁₃×#389	C₂²	1	1	yes	characteristic, complemented
116	C₁₃×#389	C₂²	1	1	yes	characteristic, complemented
117	C₁₃×#389	C₂²	1	1	yes	characteristic, complemented
118	C₁₃×#389	C₂²	1	1	yes	characteristic, complemented
119	C₁₃×#388	C₂²	1	1	yes	characteristic
120	C₁₃×#388	C₂²	1	1	yes	characteristic
121	C₁₃×#388	C₂²	1	1	yes	characteristic
122	C₁₃×#388	C₂²	1	1	yes	characteristic
123	C₁₃×#388	C₂²	1	1	yes	characteristic
124	C₁₃×#388	C₂²	1	1	yes	characteristic
125	C₁₃×#388	C₂²	1	1	yes	characteristic
126	C₁₃×#388	C₂²	1	1	yes	characteristic
127	C₁₃×#388	C₂²	1	1	yes	characteristic, complemented
128	C₁₃×#388	C₂²	1	1	yes	characteristic, complemented
129	C₁₃×#388	C₂²	1	1	yes	characteristic, complemented
130	C₁₃×#388	C₂²	1	1	yes	characteristic, complemented
131	C₁₃×#388	C₂²	1	1	yes	characteristic, complemented
132	C₁₃×#388	C₂²	1	1	yes	characteristic, complemented
133	C₁₃×#388	C₂²	1	1	yes	characteristic, complemented
134	C₁₃×#388	C₂²	1	1	yes	characteristic, complemented
135	C₁₃×#387	C₂²	1	1	yes	characteristic, complemented
136	C₁₃×#387	C₂²	1	1	yes	characteristic, complemented
137	C₁₃×#387	C₂²	1	1	yes	characteristic, complemented
138	C₁₃×#387	C₂²	1	1	yes	characteristic, complemented
139	C₁₃×#387	C₂²	1	1	yes	characteristic, complemented
140	C₁₃×#387	C₂²	1	1	yes	characteristic, complemented
141	C₁₃×#386	C₂²	1	1	yes	characteristic
142	C₁₃×#386	C₂²	1	1	yes	characteristic
143	C₁₃×#386	C₂²	1	1	yes	characteristic
144	C₁₃×#386	C₂²	1	1	yes	characteristic
145	C₁₃×#386	C₂²	1	1	yes	characteristic
146	C₁₃×#386	C₂²	1	1	yes	characteristic
147	C₁₃×#386	C₂²	1	1	yes	characteristic
148	C₁₃×#386	C₂²	1	1	yes	characteristic
149	C₁₃×#386	C₂²	1	1	yes	characteristic
150	C₁₃×#386	C₂²	1	1	yes	characteristic
151	C₁₃×#386	C₂²	1	1	yes	characteristic
152	C₁₃×#386	C₂²	1	1	yes	characteristic
153	C₁₃×#386	C₂²	1	1	yes	characteristic, complemented
154	C₁₃×#386	C₂²	1	1	yes	characteristic, complemented
155	C₁₃×#385	C₂²	1	1	yes	characteristic
156	C₁₃×#385	C₂²	1	1	yes	characteristic
157	C₁₃×#385	C₂²	1	1	yes	characteristic
158	C₁₃×#385	C₂²	1	1	yes	characteristic
159	C₁₃×#385	C₂²	1	1	yes	characteristic
160	C₁₃×#385	C₂²	1	1	yes	characteristic
161	C₁₃×#385	C₂²	1	1	yes	characteristic
162	C₁₃×#385	C₂²	1	1	yes	characteristic
163	C₁₃×#385	C₂²	1	1	yes	characteristic
164	C₁₃×#385	C₂²	1	1	yes	characteristic, complemented
165	C₁₃×#385	C₂²	1	1	yes	characteristic, complemented
166	C₁₃×#385	C₂²	1	1	yes	characteristic, complemented
167	C₁₃×#383	C₂²	1	1	yes	characteristic, complemented
168	C₁₃×#382	C₂²	1	1	yes	characteristic, complemented
169	C₁₃×#380	C₂²	1	1	yes	characteristic
170	C₁₃×#380	C₂²	1	1	yes	characteristic
171	C₁₃×#380	C₂²	1	1	yes	characteristic
172	C₁₃×#380	C₂²	1	1	yes	characteristic
173	C₁₃×#380	C₂²	1	1	yes	characteristic
174	C₁₃×#380	C₂²	1	1	yes	characteristic
175	C₁₃×#380	C₂²	1	1	yes	characteristic, complemented
176	C₁₃×#380	C₂²	1	1	yes	characteristic, complemented
177	C₁₃×#379	C₂²	1	1	yes	characteristic
178	C₁₃×#379	C₂²	1	1	yes	characteristic
179	C₁₃×#379	C₂²	1	1	yes	characteristic
180	C₄×C₁₃×C₄⋊C₄	C₂²	1	1	yes	characteristic, complemented
181	C₄×C₁₃×C₄⋊C₄	C₂²	1	1	yes	characteristic, complemented
182	C₄×C₁₃×C₂²⋊C₄	C₂²	1	1	yes	characteristic
183	C₄×C₁₃×C₂²⋊C₄	C₂²	1	1	yes	characteristic
184	C₄×C₁₃×C₂²⋊C₄	C₂²	1	1	yes	characteristic
185	C₄×C₁₃×C₂²⋊C₄	C₂²	1	1	yes	characteristic, complemented
186	C₄×C₁₃×C₂²⋊C₄	C₂²	1	1	yes	characteristic, complemented
187	C₂⁵×C₁₃	C₂³	1	1	yes	characteristic
188	C₂²×Q₈×C₁₃	C₂³	1	1	yes	characteristic
189	C₂²×Q₈×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	C₂²×D₄×C₁₃	C₂³	1	1	yes	characteristic
199	C₂²×D₄×C₁₃	C₂³	1	1	yes	characteristic
200	C₂²×D₄×C₁₃	C₂³	1	1	yes	characteristic
201	C₂²×D₄×C₁₃	C₂³	1	1	yes	characteristic
202	C₂³×C₄×C₁₃	—	4	2	no	—
203	C₂³×C₄×C₁₃	—	4	2	no	—
204	C₂³×C₄×C₁₃	—	4	2	no	—
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	C₂³×C₄×C₁₃	C₂³	1	1	yes	characteristic
214	C₁₃×#126	—	4	2	no	—
215	C₁₃×#126	—	4	2	no	—
216	C₁₃×#125	—	4	2	no	—
217	C₁₃×#124	—	2	4	no	—
218	C₁₃×#124	—	4	2	no	—
219	C₁₃×#124	—	4	2	no	—
220	C₁₃×#123	—	2	4	no	—
221	C₁₃×#123	—	4	2	no	—
222	C₁₃×#123	—	4	2	no	—
223	C₁₃×C₂²⋊Q₈	—	4	2	no	—
224	C₁₃×C₂²⋊Q₈	—	4	2	no	—
225	C₁₃×C₂²⋊Q₈	—	4	2	no	—
226	C₁₃×C₂²⋊Q₈	—	4	2	no	—
227	C₁₃×#121	—	4	2	no	—
228	C₁₃×#121	—	4	2	no	—
229	C₁₃×#121	—	4	2	no	—
230	C₁₃×#121	—	4	2	no	—
231	C₁₃×#121	—	4	2	no	—
232	C₁₃×#120	—	2	4	no	—
233	C₁₃×#120	—	4	2	no	—
234	C₁₃×#120	—	4	2	no	—
235	C₄×D₄×C₁₃	—	4	2	no	—
236	C₄×D₄×C₁₃	—	4	2	no	—
237	C₄×D₄×C₁₃	—	4	2	no	—
238	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
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×C₄⋊C₄	C₂³	1	1	yes	characteristic
266	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
267	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
268	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
269	C₂×C₁₃×C₄⋊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×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
306	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
307	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
308	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
309	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
310	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
311	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
312	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
313	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
314	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
315	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
316	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
317	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
318	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
319	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
320	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
321	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
322	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
323	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
324	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
325	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
326	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
327	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
328	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
329	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
330	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
331	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
332	C₂×C₄²×C₁₃	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	#36904	C₁₃	1	1	yes	maximal, characteristic, direct product factor, Sylow
370	C₂⁴×C₁₃	—	2	2	no	—
371	C₂⁴×C₁₃	—	2	2	no	—
372	C₂⁴×C₁₃	—	2	2	no	—
373	C₂⁴×C₁₃	—	4	1	no	—
374	C₂⁴×C₁₃	—	4	1	no	—
375	C₂⁴×C₁₃	—	4	1	no	—
376	C₂⁴×C₁₃	—	4	1	no	—
377	C₂⁴×C₁₃	C₂⁴	1	1	yes	characteristic
378	C₂⁴×C₁₃	C₂⁴	1	1	yes	characteristic
379	C₂⁴×C₁₃	C₂⁴	1	1	yes	characteristic
380	C₂⁴×C₁₃	C₂⁴	1	1	yes	characteristic
381	C₂⁴×C₁₃	C₂⁴	1	1	yes	characteristic
382	C₂⁴×C₁₃	C₂⁴	1	1	yes	characteristic
383	C₂×Q₈×C₁₃	—	2	2	no	—
384	C₂×Q₈×C₁₃	—	2	2	no	—
385	C₂×Q₈×C₁₃	—	4	1	no	—
386	C₂×Q₈×C₁₃	—	4	1	no	—
387	C₂×Q₈×C₁₃	—	4	1	no	—
388	C₂×Q₈×C₁₃	—	4	1	no	—
389	C₂×D₄×C₁₃	—	2	2	no	—
390	C₂×D₄×C₁₃	—	2	2	no	—
391	C₂×D₄×C₁₃	—	2	2	no	—
392	C₂×D₄×C₁₃	—	2	2	no	—
393	C₂×D₄×C₁₃	—	2	2	no	—
394	C₂×D₄×C₁₃	—	2	2	no	—
395	C₂×D₄×C₁₃	—	2	2	no	—
396	C₂×D₄×C₁₃	—	2	2	no	—
397	C₂×D₄×C₁₃	—	2	2	no	—
398	C₂×D₄×C₁₃	—	2	2	no	—
399	C₂×D₄×C₁₃	—	2	2	no	—
400	C₂×D₄×C₁₃	—	2	2	no	—
401	C₂×D₄×C₁₃	—	4	1	no	—
402	C₂×D₄×C₁₃	—	4	1	no	—
403	C₂×D₄×C₁₃	—	4	1	no	—
404	C₂×D₄×C₁₃	—	4	1	no	—
405	C₂×D₄×C₁₃	—	4	1	no	—
406	C₂×D₄×C₁₃	—	4	1	no	—
407	C₂×D₄×C₁₃	—	4	1	no	—
408	C₂×D₄×C₁₃	—	4	1	no	—
409	C₂×D₄×C₁₃	—	4	1	no	—
410	C₂×D₄×C₁₃	—	4	1	no	—
411	C₂×D₄×C₁₃	—	4	1	no	—
412	C₂×D₄×C₁₃	—	4	1	no	—
413	C₂×D₄×C₁₃	—	4	1	no	—
414	C₂×D₄×C₁₃	—	4	1	no	—
415	C₂×D₄×C₁₃	—	4	1	no	—
416	C₂×D₄×C₁₃	—	4	1	no	—
417	C₂×D₄×C₁₃	—	4	1	no	—
418	C₂×D₄×C₁₃	—	4	1	no	—
419	C₂×D₄×C₁₃	—	4	1	no	—
420	C₂×D₄×C₁₃	—	4	1	no	—
421	C₂×D₄×C₁₃	—	4	1	no	—
422	C₂×D₄×C₁₃	—	4	1	no	—
423	C₂×D₄×C₁₃	—	4	1	no	—
424	C₂×D₄×C₁₃	—	4	1	no	—
425	C₂²×C₄×C₁₃	—	2	2	no	—
426	C₂²×C₄×C₁₃	—	2	2	no	—
427	C₂²×C₄×C₁₃	—	2	2	no	—
428	C₂²×C₄×C₁₃	—	2	2	no	—
429	C₂²×C₄×C₁₃	—	2	2	no	—
430	C₂²×C₄×C₁₃	—	2	2	no	—
431	C₂²×C₄×C₁₃	—	2	2	no	—
432	C₂²×C₄×C₁₃	—	2	2	no	—
433	C₂²×C₄×C₁₃	—	2	2	no	—
434	C₂²×C₄×C₁₃	—	2	2	no	—
435	C₂²×C₄×C₁₃	—	2	2	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	—	4	1	no	—
447	C₂²×C₄×C₁₃	—	4	1	no	—
448	C₂²×C₄×C₁₃	—	4	1	no	—
449	C₂²×C₄×C₁₃	—	4	1	no	—
450	C₂²×C₄×C₁₃	—	4	1	no	—
451	C₂²×C₄×C₁₃	—	4	1	no	—
452	C₂²×C₄×C₁₃	—	4	16	no	—
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	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
478	C₁₃×C₄⋊C₄	—	2	2	no	—
479	C₁₃×C₄⋊C₄	—	2	2	no	—
480	C₁₃×C₄⋊C₄	—	2	2	no	—
481	C₁₃×C₄⋊C₄	—	2	2	no	—
482	C₁₃×C₄⋊C₄	—	2	2	no	—
483	C₁₃×C₄⋊C₄	—	2	2	no	—
484	C₁₃×C₄⋊C₄	—	2	2	no	—
485	C₁₃×C₄⋊C₄	—	2	2	no	—
486	C₁₃×C₄⋊C₄	—	2	2	no	—
487	C₁₃×C₄⋊C₄	—	2	2	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	—	4	1	no	—
496	C₁₃×C₄⋊C₄	—	4	1	no	—
497	C₁₃×C₄⋊C₄	—	4	1	no	—
498	C₁₃×C₄⋊C₄	—	4	1	no	—
499	C₁₃×C₄⋊C₄	—	4	1	no	—
500	C₁₃×C₄⋊C₄	—	4	1	no	—
501	C₁₃×C₄⋊C₄	—	4	1	no	—
502	C₁₃×C₄⋊C₄	—	4	1	no	—
503	C₁₃×C₄⋊C₄	—	4	1	no	—
504	C₁₃×C₄⋊C₄	—	4	1	no	—
505	C₁₃×C₄⋊C₄	—	4	1	no	—
506	C₁₃×C₄⋊C₄	—	4	1	no	—
507	C₁₃×C₄⋊C₄	—	4	1	no	—
508	C₁₃×C₄⋊C₄	—	4	1	no	—
509	C₁₃×C₄⋊C₄	—	4	1	no	—
510	C₁₃×C₂²⋊C₄	—	2	2	no	—
511	C₁₃×C₂²⋊C₄	—	2	2	no	—
512	C₁₃×C₂²⋊C₄	—	2	2	no	—
513	C₁₃×C₂²⋊C₄	—	2	2	no	—
514	C₁₃×C₂²⋊C₄	—	2	2	no	—
515	C₁₃×C₂²⋊C₄	—	2	2	no	—
516	C₁₃×C₂²⋊C₄	—	2	2	no	—
517	C₁₃×C₂²⋊C₄	—	2	2	no	—
518	C₁₃×C₂²⋊C₄	—	2	2	no	—
519	C₁₃×C₂²⋊C₄	—	2	2	no	—
520	C₁₃×C₂²⋊C₄	—	2	2	no	—
521	C₁₃×C₂²⋊C₄	—	2	2	no	—
522	C₁₃×C₂²⋊C₄	—	2	2	no	—
523	C₁₃×C₂²⋊C₄	—	2	2	no	—
524	C₁₃×C₂²⋊C₄	—	2	2	no	—
525	C₁₃×C₂²⋊C₄	—	2	2	no	—
526	C₁₃×C₂²⋊C₄	—	2	2	no	—
527	C₁₃×C₂²⋊C₄	—	2	2	no	—
528	C₁₃×C₂²⋊C₄	—	2	2	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	—	4	1	no	—
534	C₁₃×C₂²⋊C₄	—	4	1	no	—
535	C₁₃×C₂²⋊C₄	—	4	1	no	—
536	C₁₃×C₂²⋊C₄	—	4	1	no	—
537	C₁₃×C₂²⋊C₄	—	4	1	no	—
538	C₁₃×C₂²⋊C₄	—	4	1	no	—
539	C₁₃×C₂²⋊C₄	—	4	1	no	—
540	C₁₃×C₂²⋊C₄	—	4	1	no	—
541	C₁₃×C₂²⋊C₄	—	4	1	no	—
542	C₁₃×C₂²⋊C₄	—	4	1	no	—
543	C₁₃×C₂²⋊C₄	—	4	1	no	—
544	C₁₃×C₂²⋊C₄	—	4	1	no	—
545	C₁₃×C₂²⋊C₄	—	4	1	no	—
546	C₁₃×C₂²⋊C₄	—	4	1	no	—
547	C₁₃×C₂²⋊C₄	—	4	1	no	—
548	C₁₃×C₂²⋊C₄	—	4	1	no	—
549	C₁₃×C₂²⋊C₄	—	4	1	no	—
550	C₁₃×C₂²⋊C₄	—	4	1	no	—
551	C₁₃×C₂²⋊C₄	—	4	1	no	—
552	C₁₃×C₂²⋊C₄	—	4	1	no	—
553	C₁₃×C₂²⋊C₄	—	4	1	no	—
554	C₁₃×C₂²⋊C₄	—	4	1	no	—
555	C₁₃×C₂²⋊C₄	—	4	1	no	—
556	C₁₃×C₂²⋊C₄	—	4	1	no	—
557	C₁₃×C₂²⋊C₄	—	4	1	no	—
558	C₁₃×C₂²⋊C₄	—	4	1	no	—
559	C₁₃×C₂²⋊C₄	—	4	1	no	—
560	C₁₃×C₂²⋊C₄	—	4	1	no	—
561	C₁₃×C₂²⋊C₄	—	4	1	no	—
562	C₁₃×C₂²⋊C₄	—	4	1	no	—
563	C₁₃×C₂²⋊C₄	#41	1	4	yes	—
564	C₄²×C₁₃	—	2	2	no	—
565	C₄²×C₁₃	—	2	2	no	—
566	C₄²×C₁₃	—	4	1	no	—
567	C₄²×C₁₃	—	4	1	no	—
568	C₄²×C₁₃	—	4	1	no	—
569	C₄²×C₁₃	—	4	1	no	—
570	C₄²×C₁₃	—	4	1	no	—
571	C₄²×C₁₃	—	4	1	no	—
572	C₄²×C₁₃	—	4	1	no	—
573	#2848	C₂×C₁₃	1	1	yes	characteristic, complemented
574	#2847	C₂×C₁₃	1	1	yes	characteristic, complemented
575	#2780	C₂×C₁₃	1	1	yes	characteristic, complemented
576	#2770	C₂×C₁₃	1	1	yes	characteristic, complemented
577	#2756	C₂×C₁₃	1	1	yes	characteristic, complemented
578	#2741	C₂×C₁₃	1	1	yes	characteristic, complemented
579	#2730	C₂×C₁₃	1	1	yes	characteristic, complemented
580	#2715	C₂×C₁₃	1	1	yes	characteristic, complemented
581	#2711	C₂×C₁₃	1	1	yes	characteristic, complemented
582	#2704	C₂×C₁₃	1	1	yes	characteristic, complemented
583	#2697	C₂×C₁₃	1	1	yes	characteristic, complemented
584	#2692	C₂×C₁₃	1	1	yes	characteristic, complemented
585	#2685	C₂×C₁₃	1	1	yes	characteristic, complemented
586	#2678	C₂×C₁₃	1	1	yes	characteristic, complemented
587	#2676	C₂×C₁₃	1	1	yes	characteristic, complemented
588	#2672	C₂×C₁₃	1	1	yes	characteristic, complemented
589	#2671	C₂×C₁₃	1	1	yes	characteristic, complemented
590	#2670	C₂×C₁₃	1	1	yes	characteristic, complemented
591	#2636	C₂×C₁₃	1	1	yes	characteristic, complemented
592	#2630	C₂×C₁₃	1	1	yes	characteristic, complemented
593	#2574	C₂×C₁₃	1	1	yes	characteristic, complemented
594	#2560	C₂×C₁₃	1	1	yes	characteristic, complemented
595	#2559	C₂×C₁₃	1	1	yes	characteristic, complemented
596	#2553	C₂×C₁₃	1	1	yes	characteristic, complemented
597	#2464	C₂×C₁₃	1	1	yes	characteristic, complemented
598	#2461	C₂×C₁₃	1	1	yes	characteristic, complemented
599	#2454	C₂×C₁₃	1	1	yes	characteristic, complemented
600	#2427	C₂×C₁₃	1	1	yes	characteristic, complemented
601	#2337	C₂×C₁₃	1	1	yes	characteristic, complemented
602	#2335	C₂×C₁₃	1	1	yes	characteristic, complemented
603	C₄×#120	C₂×C₁₃	1	1	yes	characteristic, complemented
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	—	2	1	no	—
625	C₂³×C₁₃	—	2	1	no	—
626	C₂³×C₁₃	—	2	1	no	—
627	C₂³×C₁₃	—	2	1	no	—
628	C₂³×C₁₃	—	2	1	no	—
629	C₂³×C₁₃	—	2	1	no	—
630	C₂³×C₁₃	—	2	1	no	—
631	C₂³×C₁₃	—	2	1	no	—
632	C₂³×C₁₃	—	2	1	no	—
633	C₂³×C₁₃	—	2	1	no	—
634	C₂³×C₁₃	—	2	1	no	—
635	C₂³×C₁₃	—	2	1	no	—
636	C₂³×C₁₃	—	2	1	no	—
637	C₂³×C₁₃	—	2	1	no	—
638	C₂³×C₁₃	—	2	1	no	—
639	C₂³×C₁₃	—	2	1	no	—
640	C₂³×C₁₃	—	2	1	no	—
641	C₂³×C₁₃	—	2	1	no	—
642	C₂³×C₁₃	—	2	1	no	—
643	C₂³×C₁₃	—	4	4	no	—
644	C₂³×C₁₃	—	4	4	no	—
645	C₂³×C₁₃	—	4	4	no	—
646	C₂³×C₁₃	—	4	4	no	—
647	C₂³×C₁₃	—	4	4	no	—
648	C₂³×C₁₃	—	4	4	no	—
649	C₂³×C₁₃	—	4	4	no	—
650	C₂³×C₁₃	C₂×#41	1	2	yes	—
651	C₂³×C₁₃	H(5,𝔽₂)	1	2	yes	—
652	C₂³×C₁₃	2₋¹⁺⁴	1	2	yes	—
653	C₂³×C₁₃	C₂⁵	1	1	yes	characteristic
654	Q₈×C₁₃	—	8	2	no	—
655	Q₈×C₁₃	—	8	2	no	—
656	D₄×C₁₃	—	4	4	no	—
657	D₄×C₁₃	—	4	4	no	—
658	D₄×C₁₃	—	4	4	no	—
659	D₄×C₁₃	—	8	2	no	—
660	D₄×C₁₃	—	8	2	no	—
661	D₄×C₁₃	—	8	2	no	—
662	D₄×C₁₃	—	8	2	no	—
663	D₄×C₁₃	—	8	2	no	—
664	D₄×C₁₃	—	8	2	no	—
665	D₄×C₁₃	—	8	2	no	—
666	D₄×C₁₃	—	8	2	no	—
667	D₄×C₁₃	—	8	2	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	—	2	1	no	—
707	C₂×C₄×C₁₃	—	2	1	no	—
708	C₂×C₄×C₁₃	—	2	1	no	—
709	C₂×C₄×C₁₃	—	2	1	no	—
710	C₂×C₄×C₁₃	—	2	1	no	—
711	C₂×C₄×C₁₃	—	2	1	no	—
712	C₂×C₄×C₁₃	—	2	1	no	—
713	C₂×C₄×C₁₃	—	2	1	no	—
714	C₂×C₄×C₁₃	—	2	1	no	—
715	C₂×C₄×C₁₃	—	2	1	no	—
716	C₂×C₄×C₁₃	—	2	1	no	—
717	C₂×C₄×C₁₃	—	2	1	no	—
718	C₂×C₄×C₁₃	—	2	1	no	—
719	C₂×C₄×C₁₃	—	2	1	no	—
720	C₂×C₄×C₁₃	—	2	1	no	—
721	C₂×C₄×C₁₃	—	2	1	no	—
722	C₂×C₄×C₁₃	—	2	1	no	—
723	C₂×C₄×C₁₃	—	2	1	no	—
724	C₂×C₄×C₁₃	—	2	1	no	—
725	C₂×C₄×C₁₃	—	2	1	no	—
726	C₂×C₄×C₁₃	—	2	1	no	—
727	C₂×C₄×C₁₃	—	2	1	no	—
728	C₂×C₄×C₁₃	—	2	1	no	—
729	C₂×C₄×C₁₃	—	2	1	no	—
730	C₂×C₄×C₁₃	—	2	1	no	—
731	C₂×C₄×C₁₃	—	2	1	no	—
732	C₂×C₄×C₁₃	—	2	1	no	—
733	C₂×C₄×C₁₃	—	2	1	no	—
734	C₂×C₄×C₁₃	—	2	1	no	—
735	C₂×C₄×C₁₃	—	2	1	no	—
736	C₂×C₄×C₁₃	—	2	1	no	—
737	C₂×C₄×C₁₃	—	2	1	no	—
738	C₂×C₄×C₁₃	—	4	4	no	—
739	C₂×C₄×C₁₃	—	4	4	no	—
740	C₂×C₄×C₁₃	—	4	4	no	—
741	C₂×C₄×C₁₃	—	4	4	no	—
742	C₂×C₄×C₁₃	—	4	4	no	—
743	C₂×C₄×C₁₃	—	4	4	no	—
744	C₂×C₄×C₁₃	—	8	2	no	—
745	C₂×C₄×C₁₃	—	8	2	no	—
746	C₂×C₄×C₁₃	—	8	2	no	—
747	C₂×C₄×C₁₃	C₂×#41	1	2	yes	—
748	C₂×C₄×C₁₃	C₂×#41	1	2	yes	—
749	C₂×C₄×C₁₃	H(5,𝔽₂)	1	2	yes	—
750	C₂×C₄×C₁₃	H(5,𝔽₂)	1	2	yes	—
751	C₂×C₄×C₁₃	H(5,𝔽₂)	1	2	yes	—
752	C₂⁴×C₄	C₂²×C₁₃	1	1	yes	characteristic
753	C₂×#126	C₂²×C₁₃	1	1	yes	characteristic
754	C₂×#126	C₂²×C₁₃	1	1	yes	characteristic, complemented
755	C₂×#125	C₂²×C₁₃	1	1	yes	characteristic, complemented
756	C₂×#124	C₂²×C₁₃	1	1	yes	characteristic
757	C₂×#124	C₂²×C₁₃	1	1	yes	characteristic
758	C₂×#124	C₂²×C₁₃	1	1	yes	characteristic, complemented
759	C₂×#123	C₂²×C₁₃	1	1	yes	characteristic
760	C₂×#123	C₂²×C₁₃	1	1	yes	characteristic
761	C₂×#123	C₂²×C₁₃	1	1	yes	characteristic, complemented
762	C₂×C₂²⋊Q₈	C₂²×C₁₃	1	1	yes	characteristic
763	C₂×C₂²⋊Q₈	C₂²×C₁₃	1	1	yes	characteristic
764	C₂×C₂²⋊Q₈	C₂²×C₁₃	1	1	yes	characteristic
765	C₂×C₂²⋊Q₈	C₂²×C₁₃	1	1	yes	characteristic, complemented
766	C₂×#121	C₂²×C₁₃	1	1	yes	characteristic
767	C₂×#121	C₂²×C₁₃	1	1	yes	characteristic
768	C₂×#121	C₂²×C₁₃	1	1	yes	characteristic
769	C₂×#121	C₂²×C₁₃	1	1	yes	characteristic
770	C₂×#121	C₂²×C₁₃	1	1	yes	characteristic, complemented
771	C₂×#120	C₂²×C₁₃	1	1	yes	characteristic
772	C₂×#120	C₂²×C₁₃	1	1	yes	characteristic
773	C₂×#120	C₂²×C₁₃	1	1	yes	characteristic
774	C₂×C₄×D₄	C₂²×C₁₃	1	1	yes	characteristic
775	C₂×C₄×D₄	C₂²×C₁₃	1	1	yes	characteristic
776	C₂×C₄×D₄	C₂²×C₁₃	1	1	yes	characteristic
777	#400	C₂²×C₁₃	1	1	yes	characteristic, complemented
778	#400	C₂²×C₁₃	1	1	yes	characteristic, complemented
779	#399	C₂²×C₁₃	1	1	yes	characteristic
780	#399	C₂²×C₁₃	1	1	yes	characteristic, complemented
781	#399	C₂²×C₁₃	1	1	yes	characteristic, complemented
782	#399	C₂²×C₁₃	1	1	yes	characteristic, complemented
783	#398	C₂²×C₁₃	1	1	yes	characteristic, complemented
784	#398	C₂²×C₁₃	1	1	yes	characteristic, complemented
785	#398	C₂²×C₁₃	1	1	yes	characteristic, complemented
786	#398	C₂²×C₁₃	1	1	yes	characteristic, complemented
787	#398	C₂²×C₁₃	1	1	yes	characteristic, complemented
788	#397	C₂²×C₁₃	1	1	yes	characteristic
789	#397	C₂²×C₁₃	1	1	yes	characteristic
790	#397	C₂²×C₁₃	1	1	yes	characteristic
791	#397	C₂²×C₁₃	1	1	yes	characteristic, complemented
792	#397	C₂²×C₁₃	1	1	yes	characteristic, complemented
793	#396	C₂²×C₁₃	1	1	yes	characteristic
794	#396	C₂²×C₁₃	1	1	yes	characteristic
795	#396	C₂²×C₁₃	1	1	yes	characteristic
796	#396	C₂²×C₁₃	1	1	yes	characteristic
797	#396	C₂²×C₁₃	1	1	yes	characteristic, complemented
798	#396	C₂²×C₁₃	1	1	yes	characteristic, complemented
799	#396	C₂²×C₁₃	1	1	yes	characteristic, complemented
800	#396	C₂²×C₁₃	1	1	yes	characteristic, complemented
801	#395	C₂²×C₁₃	1	1	yes	characteristic, complemented
802	#395	C₂²×C₁₃	1	1	yes	characteristic, complemented
803	#394	C₂²×C₁₃	1	1	yes	characteristic
804	#394	C₂²×C₁₃	1	1	yes	characteristic
805	#394	C₂²×C₁₃	1	1	yes	characteristic
806	#394	C₂²×C₁₃	1	1	yes	characteristic
807	#394	C₂²×C₁₃	1	1	yes	characteristic
808	#394	C₂²×C₁₃	1	1	yes	characteristic
809	#394	C₂²×C₁₃	1	1	yes	characteristic
810	#394	C₂²×C₁₃	1	1	yes	characteristic
811	#394	C₂²×C₁₃	1	1	yes	characteristic
812	#394	C₂²×C₁₃	1	1	yes	characteristic
813	#394	C₂²×C₁₃	1	1	yes	characteristic, complemented
814	#394	C₂²×C₁₃	1	1	yes	characteristic, complemented
815	#394	C₂²×C₁₃	1	1	yes	characteristic, complemented
816	#394	C₂²×C₁₃	1	1	yes	characteristic, complemented
817	#394	C₂²×C₁₃	1	1	yes	characteristic, complemented
818	#393	C₂²×C₁₃	1	1	yes	characteristic
819	#393	C₂²×C₁₃	1	1	yes	characteristic, complemented
820	#392	C₂²×C₁₃	1	1	yes	characteristic
821	#392	C₂²×C₁₃	1	1	yes	characteristic
822	#392	C₂²×C₁₃	1	1	yes	characteristic
823	#392	C₂²×C₁₃	1	1	yes	characteristic
824	#392	C₂²×C₁₃	1	1	yes	characteristic
825	#391	C₂²×C₁₃	1	1	yes	characteristic, complemented
826	#391	C₂²×C₁₃	1	1	yes	characteristic, complemented
827	#391	C₂²×C₁₃	1	1	yes	characteristic, complemented
828	#390	C₂²×C₁₃	1	1	yes	characteristic
829	#390	C₂²×C₁₃	1	1	yes	characteristic
830	#390	C₂²×C₁₃	1	1	yes	characteristic
831	#390	C₂²×C₁₃	1	1	yes	characteristic
832	#390	C₂²×C₁₃	1	1	yes	characteristic
833	#390	C₂²×C₁₃	1	1	yes	characteristic
834	#390	C₂²×C₁₃	1	1	yes	characteristic
835	#389	C₂²×C₁₃	1	1	yes	characteristic, complemented
836	#389	C₂²×C₁₃	1	1	yes	characteristic, complemented
837	#389	C₂²×C₁₃	1	1	yes	characteristic, complemented
838	#389	C₂²×C₁₃	1	1	yes	characteristic, complemented
839	#388	C₂²×C₁₃	1	1	yes	characteristic
840	#388	C₂²×C₁₃	1	1	yes	characteristic
841	#388	C₂²×C₁₃	1	1	yes	characteristic
842	#388	C₂²×C₁₃	1	1	yes	characteristic
843	#388	C₂²×C₁₃	1	1	yes	characteristic
844	#388	C₂²×C₁₃	1	1	yes	characteristic
845	#388	C₂²×C₁₃	1	1	yes	characteristic
846	#388	C₂²×C₁₃	1	1	yes	characteristic
847	#388	C₂²×C₁₃	1	1	yes	characteristic, complemented
848	#388	C₂²×C₁₃	1	1	yes	characteristic, complemented
849	#388	C₂²×C₁₃	1	1	yes	characteristic, complemented
850	#388	C₂²×C₁₃	1	1	yes	characteristic, complemented
851	#388	C₂²×C₁₃	1	1	yes	characteristic, complemented
852	#388	C₂²×C₁₃	1	1	yes	characteristic, complemented
853	#388	C₂²×C₁₃	1	1	yes	characteristic, complemented
854	#388	C₂²×C₁₃	1	1	yes	characteristic, complemented
855	#387	C₂²×C₁₃	1	1	yes	characteristic, complemented
856	#387	C₂²×C₁₃	1	1	yes	characteristic, complemented
857	#387	C₂²×C₁₃	1	1	yes	characteristic, complemented
858	#387	C₂²×C₁₃	1	1	yes	characteristic, complemented
859	#387	C₂²×C₁₃	1	1	yes	characteristic, complemented
860	#387	C₂²×C₁₃	1	1	yes	characteristic, complemented
861	#386	C₂²×C₁₃	1	1	yes	characteristic
862	#386	C₂²×C₁₃	1	1	yes	characteristic
863	#386	C₂²×C₁₃	1	1	yes	characteristic
864	#386	C₂²×C₁₃	1	1	yes	characteristic
865	#386	C₂²×C₁₃	1	1	yes	characteristic
866	#386	C₂²×C₁₃	1	1	yes	characteristic
867	#386	C₂²×C₁₃	1	1	yes	characteristic
868	#386	C₂²×C₁₃	1	1	yes	characteristic
869	#386	C₂²×C₁₃	1	1	yes	characteristic
870	#386	C₂²×C₁₃	1	1	yes	characteristic
871	#386	C₂²×C₁₃	1	1	yes	characteristic
872	#386	C₂²×C₁₃	1	1	yes	characteristic
873	#386	C₂²×C₁₃	1	1	yes	characteristic, complemented
874	#386	C₂²×C₁₃	1	1	yes	characteristic, complemented
875	#385	C₂²×C₁₃	1	1	yes	characteristic
876	#385	C₂²×C₁₃	1	1	yes	characteristic
877	#385	C₂²×C₁₃	1	1	yes	characteristic
878	#385	C₂²×C₁₃	1	1	yes	characteristic
879	#385	C₂²×C₁₃	1	1	yes	characteristic
880	#385	C₂²×C₁₃	1	1	yes	characteristic
881	#385	C₂²×C₁₃	1	1	yes	characteristic
882	#385	C₂²×C₁₃	1	1	yes	characteristic
883	#385	C₂²×C₁₃	1	1	yes	characteristic
884	#385	C₂²×C₁₃	1	1	yes	characteristic, complemented
885	#385	C₂²×C₁₃	1	1	yes	characteristic, complemented
886	#385	C₂²×C₁₃	1	1	yes	characteristic, complemented
887	#383	C₂²×C₁₃	1	1	yes	characteristic, complemented
888	#382	C₂²×C₁₃	1	1	yes	characteristic, complemented
889	#380	C₂²×C₁₃	1	1	yes	characteristic
890	#380	C₂²×C₁₃	1	1	yes	characteristic
891	#380	C₂²×C₁₃	1	1	yes	characteristic
892	#380	C₂²×C₁₃	1	1	yes	characteristic
893	#380	C₂²×C₁₃	1	1	yes	characteristic
894	#380	C₂²×C₁₃	1	1	yes	characteristic
895	#380	C₂²×C₁₃	1	1	yes	characteristic, complemented
896	#380	C₂²×C₁₃	1	1	yes	characteristic, complemented
897	#379	C₂²×C₁₃	1	1	yes	characteristic
898	#379	C₂²×C₁₃	1	1	yes	characteristic
899	#379	C₂²×C₁₃	1	1	yes	characteristic
900	C₄×C₄⋊C₄	C₂²×C₁₃	1	1	yes	characteristic, complemented
901	C₄×C₄⋊C₄	C₂²×C₁₃	1	1	yes	characteristic, complemented
902	C₄×C₂²⋊C₄	C₂²×C₁₃	1	1	yes	characteristic
903	C₄×C₂²⋊C₄	C₂²×C₁₃	1	1	yes	characteristic
904	C₄×C₂²⋊C₄	C₂²×C₁₃	1	1	yes	characteristic
905	C₄×C₂²⋊C₄	C₂²×C₁₃	1	1	yes	characteristic, complemented
906	C₄×C₂²⋊C₄	C₂²×C₁₃	1	1	yes	characteristic, complemented
907	C₂²×C₁₃	—	2	2	no	—
908	C₂²×C₁₃	—	2	2	no	—
909	C₂²×C₁₃	—	2	2	no	—
910	C₂²×C₁₃	—	2	2	no	—
911	C₂²×C₁₃	—	2	2	no	—
912	C₂²×C₁₃	—	2	2	no	—
913	C₂²×C₁₃	—	2	2	no	—
914	C₂²×C₁₃	—	2	2	no	—
915	C₂²×C₁₃	—	2	2	no	—
916	C₂²×C₁₃	—	4	16	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	—	4	1	no	—
925	C₂²×C₁₃	—	4	1	no	—
926	C₂²×C₁₃	—	4	1	no	—
927	C₂²×C₁₃	—	4	1	no	—
928	C₂²×C₁₃	—	4	1	no	—
929	C₂²×C₁₃	—	4	1	no	—
930	C₂²×C₁₃	—	4	1	no	—
931	C₂²×C₁₃	—	4	1	no	—
932	C₂²×C₁₃	—	4	1	no	—
933	C₂²×C₁₃	—	4	1	no	—
934	C₂²×C₁₃	—	4	1	no	—
935	C₂²×C₁₃	—	4	1	no	—
936	C₂²×C₁₃	—	4	1	no	—
937	C₂²×C₁₃	—	4	1	no	—
938	C₂²×C₁₃	—	4	1	no	—
939	C₂²×C₁₃	—	4	1	no	—
940	C₂²×C₁₃	—	4	1	no	—
941	C₂²×C₁₃	—	4	1	no	—
942	C₂²×C₁₃	—	4	1	no	—
943	C₂²×C₁₃	—	4	1	no	—
944	C₂²×C₁₃	—	4	1	no	—
945	C₂²×C₁₃	—	4	1	no	—
946	C₂²×C₁₃	—	4	1	no	—
947	C₂²×C₁₃	—	4	1	no	—
948	C₂²×C₁₃	—	4	1	no	—
949	C₂²×C₁₃	—	4	1	no	—
950	C₂²×C₁₃	C₂²×#41	1	1	yes	characteristic
951	C₂²×C₁₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
952	C₂²×C₁₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
953	C₂²×C₁₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
954	C₂²×C₁₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
955	C₂²×C₁₃	C₂×2₋¹⁺⁴	1	1	yes	characteristic
956	C₂²×C₁₃	#585	1	1	yes	characteristic
957	C₄×C₁₃	—	2	2	no	—
958	C₄×C₁₃	—	2	2	no	—
959	C₄×C₁₃	—	2	2	no	—
960	C₄×C₁₃	—	2	2	no	—
961	C₄×C₁₃	—	2	2	no	—
962	C₄×C₁₃	—	4	1	no	—
963	C₄×C₁₃	—	4	1	no	—
964	C₄×C₁₃	—	4	1	no	—
965	C₄×C₁₃	—	4	1	no	—
966	C₄×C₁₃	—	4	1	no	—
967	C₄×C₁₃	—	4	1	no	—
968	C₄×C₁₃	—	4	1	no	—
969	C₄×C₁₃	—	4	1	no	—
970	C₄×C₁₃	—	4	1	no	—
971	C₄×C₁₃	—	4	1	no	—
972	C₄×C₁₃	—	4	1	no	—
973	C₄×C₁₃	—	4	1	no	—
974	C₄×C₁₃	—	4	1	no	—
975	C₄×C₁₃	—	4	1	no	—
976	C₄×C₁₃	—	4	1	no	—
977	C₄×C₁₃	—	4	1	no	—
978	C₄×C₁₃	—	4	1	no	—
979	C₄×C₁₃	—	4	1	no	—
980	C₄×C₁₃	—	4	1	no	—
981	C₄×C₁₃	—	4	1	no	—
982	C₂⁵	C₂³×C₁₃	1	1	yes	characteristic
983	C₂²×Q₈	C₂³×C₁₃	1	1	yes	characteristic
984	C₂²×Q₈	C₂³×C₁₃	1	1	yes	characteristic
985	C₂²×D₄	C₂³×C₁₃	1	1	yes	characteristic
986	C₂²×D₄	C₂³×C₁₃	1	1	yes	characteristic
987	C₂²×D₄	C₂³×C₁₃	1	1	yes	characteristic
988	C₂²×D₄	C₂³×C₁₃	1	1	yes	characteristic
989	C₂²×D₄	C₂³×C₁₃	1	1	yes	characteristic
990	C₂²×D₄	C₂³×C₁₃	1	1	yes	characteristic
991	C₂²×D₄	C₂³×C₁₃	1	1	yes	characteristic
992	C₂²×D₄	C₂³×C₁₃	1	1	yes	characteristic
993	C₂²×D₄	C₂³×C₁₃	1	1	yes	characteristic
994	C₂²×D₄	C₂³×C₁₃	1	1	yes	characteristic
995	C₂²×D₄	C₂³×C₁₃	1	1	yes	characteristic
996	C₂²×D₄	C₂³×C₁₃	1	1	yes	characteristic
997	C₂³×C₄	—	4	2	no	—
998	C₂³×C₄	—	4	2	no	—
999	C₂³×C₄	—	4	2	no	—
1000	C₂³×C₄	C₂³×C₁₃	1	1	yes	characteristic
1001	C₂³×C₄	C₂³×C₁₃	1	1	yes	characteristic
1002	C₂³×C₄	C₂³×C₁₃	1	1	yes	characteristic
1003	C₂³×C₄	C₂³×C₁₃	1	1	yes	characteristic
1004	C₂³×C₄	C₂³×C₁₃	1	1	yes	characteristic
1005	C₂³×C₄	C₂³×C₁₃	1	1	yes	characteristic
1006	C₂³×C₄	C₂³×C₁₃	1	1	yes	characteristic
1007	C₂³×C₄	C₂³×C₁₃	1	1	yes	characteristic
1008	C₂³×C₄	C₂³×C₁₃	1	1	yes	characteristic
1009	#126	—	4	2	no	—
1010	#126	—	4	2	no	—
1011	#125	—	4	2	no	—
1012	#124	—	2	4	no	—
1013	#124	—	4	2	no	—
1014	#124	—	4	2	no	—
1015	#123	—	2	4	no	—
1016	#123	—	4	2	no	—
1017	#123	—	4	2	no	—
1018	C₂²⋊Q₈	—	4	2	no	—
1019	C₂²⋊Q₈	—	4	2	no	—
1020	C₂²⋊Q₈	—	4	2	no	—
1021	C₂²⋊Q₈	—	4	2	no	—
1022	#121	—	4	2	no	—
1023	#121	—	4	2	no	—
1024	#121	—	4	2	no	—
1025	#121	—	4	2	no	—
1026	#121	—	4	2	no	—
1027	#120	—	2	4	no	—
1028	#120	—	4	2	no	—
1029	#120	—	4	2	no	—
1030	C₄×D₄	—	4	2	no	—
1031	C₄×D₄	—	4	2	no	—
1032	C₄×D₄	—	4	2	no	—
1033	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1034	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1035	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1036	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1037	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1038	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1039	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1040	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1041	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1042	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1043	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1044	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1045	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1046	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1047	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1048	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1049	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1050	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1051	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1052	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1053	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1054	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1055	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1056	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1057	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1058	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1059	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1060	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1061	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1062	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1063	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1064	C₂×C₄⋊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×C₂²⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1075	C₂×C₂²⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1076	C₂×C₂²⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1077	C₂×C₂²⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1078	C₂×C₂²⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1079	C₂×C₂²⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1080	C₂×C₂²⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1081	C₂×C₂²⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1082	C₂×C₂²⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1083	C₂×C₂²⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1084	C₂×C₂²⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1085	C₂×C₂²⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1086	C₂×C₂²⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1087	C₂×C₂²⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1088	C₂×C₂²⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1089	C₂×C₂²⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1090	C₂×C₂²⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1091	C₂×C₂²⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1092	C₂×C₂²⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1093	C₂×C₂²⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1094	C₂×C₂²⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1095	C₂×C₂²⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1096	C₂×C₂²⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1097	C₂×C₂²⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1098	C₂×C₂²⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1099	C₂×C₂²⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1100	C₂×C₂²⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1101	C₂×C₂²⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1102	C₂×C₂²⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1103	C₂×C₂²⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1104	C₂×C₂²⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1105	C₂×C₂²⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1106	C₂×C₂²⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1107	C₂×C₂²⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1108	C₂×C₂²⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1109	C₂×C₂²⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1110	C₂×C₂²⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1111	C₂×C₂²⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1112	C₂×C₂²⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1113	C₂×C₂²⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1114	C₂×C₂²⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1115	C₂×C₂²⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1116	C₂×C₂²⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1117	C₂×C₂²⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1118	C₂×C₂²⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1119	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
1120	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
1121	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
1122	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
1123	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
1124	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
1125	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
1126	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
1127	C₂×C₄²	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	#95	C₂³×C₁₃	1	1	yes	characteristic
1140	#95	C₂³×C₁₃	1	1	yes	characteristic
1141	#95	C₂³×C₁₃	1	1	yes	characteristic
1142	#95	C₂³×C₁₃	1	1	yes	characteristic
1143	#95	C₂³×C₁₃	1	1	yes	characteristic
1144	#95	C₂³×C₁₃	1	1	yes	characteristic
1145	#95	C₂³×C₁₃	1	1	yes	characteristic
1146	#95	C₂³×C₁₃	1	1	yes	characteristic
1147	#95	C₂³×C₁₃	1	1	yes	characteristic
1148	#95	C₂³×C₁₃	1	1	yes	characteristic
1149	#95	C₂³×C₁₃	1	1	yes	characteristic
1150	#95	C₂³×C₁₃	1	1	yes	characteristic
1151	#95	C₂³×C₁₃	1	1	yes	characteristic
1152	#95	C₂³×C₁₃	1	1	yes	characteristic
1153	#95	C₂³×C₁₃	1	1	yes	characteristic
1154	#95	C₂³×C₁₃	1	1	yes	characteristic
1155	#95	C₂³×C₁₃	1	1	yes	characteristic
1156	#95	C₂³×C₁₃	1	1	yes	characteristic
1157	#95	C₂³×C₁₃	1	1	yes	characteristic
1158	#95	C₂³×C₁₃	1	1	yes	characteristic
1159	#95	C₂³×C₁₃	1	1	yes	characteristic
1160	#95	C₂³×C₁₃	1	1	yes	characteristic
1161	#95	C₂³×C₁₃	1	1	yes	characteristic
1162	#95	C₂³×C₁₃	1	1	yes	characteristic
1163	#95	C₂³×C₁₃	1	1	yes	characteristic
1164	C₂×C₁₃	—	4	2	no	—
1165	C₂×C₁₃	—	4	2	no	—
1166	C₂×C₁₃	—	4	2	no	—
1167	C₂×C₁₃	—	8	1	no	—
1168	C₂×C₁₃	—	8	1	no	—
1169	C₂×C₁₃	—	8	1	no	—
1170	C₂×C₁₃	#3460	1	1	yes	characteristic
1171	C₂×C₁₃	#3519	1	1	yes	characteristic
1172	C₂×C₁₃	#3520	1	1	yes	characteristic
1173	C₂×C₁₃	#3532	1	1	yes	characteristic
1174	C₂×C₁₃	#3536	1	1	yes	characteristic
1175	C₂×C₁₃	#3541	1	1	yes	characteristic
1176	C₂×C₁₃	#3542	1	1	yes	characteristic
1177	C₂⁴	—	2	2	no	—
1178	C₂⁴	—	2	2	no	—
1179	C₂⁴	—	2	2	no	—
1180	C₂⁴	—	4	1	no	—
1181	C₂⁴	—	4	1	no	—
1182	C₂⁴	—	4	1	no	—
1183	C₂⁴	—	4	1	no	—
1184	C₂⁴	C₂⁴×C₁₃	1	1	yes	characteristic
1185	C₂⁴	C₂⁴×C₁₃	1	1	yes	characteristic
1186	C₂⁴	C₂⁴×C₁₃	1	1	yes	characteristic
1187	C₂⁴	C₂⁴×C₁₃	1	1	yes	characteristic
1188	C₂⁴	C₂⁴×C₁₃	1	1	yes	characteristic
1189	C₂⁴	C₂⁴×C₁₃	1	1	yes	characteristic
1190	C₂×Q₈	—	2	2	no	—
1191	C₂×Q₈	—	2	2	no	—
1192	C₂×Q₈	—	4	1	no	—
1193	C₂×Q₈	—	4	1	no	—
1194	C₂×Q₈	—	4	1	no	—
1195	C₂×Q₈	—	4	1	no	—
1196	C₂×D₄	—	2	2	no	—
1197	C₂×D₄	—	2	2	no	—
1198	C₂×D₄	—	2	2	no	—
1199	C₂×D₄	—	2	2	no	—
1200	C₂×D₄	—	2	2	no	—
1201	C₂×D₄	—	2	2	no	—
1202	C₂×D₄	—	2	2	no	—
1203	C₂×D₄	—	2	2	no	—
1204	C₂×D₄	—	2	2	no	—
1205	C₂×D₄	—	2	2	no	—
1206	C₂×D₄	—	2	2	no	—
1207	C₂×D₄	—	2	2	no	—
1208	C₂×D₄	—	4	1	no	—
1209	C₂×D₄	—	4	1	no	—
1210	C₂×D₄	—	4	1	no	—
1211	C₂×D₄	—	4	1	no	—
1212	C₂×D₄	—	4	1	no	—
1213	C₂×D₄	—	4	1	no	—
1214	C₂×D₄	—	4	1	no	—
1215	C₂×D₄	—	4	1	no	—
1216	C₂×D₄	—	4	1	no	—
1217	C₂×D₄	—	4	1	no	—
1218	C₂×D₄	—	4	1	no	—
1219	C₂×D₄	—	4	1	no	—
1220	C₂×D₄	—	4	1	no	—
1221	C₂×D₄	—	4	1	no	—
1222	C₂×D₄	—	4	1	no	—
1223	C₂×D₄	—	4	1	no	—
1224	C₂×D₄	—	4	1	no	—
1225	C₂×D₄	—	4	1	no	—
1226	C₂×D₄	—	4	1	no	—
1227	C₂×D₄	—	4	1	no	—
1228	C₂×D₄	—	4	1	no	—
1229	C₂×D₄	—	4	1	no	—
1230	C₂×D₄	—	4	1	no	—
1231	C₂×D₄	—	4	1	no	—
1232	C₂²×C₄	—	2	2	no	—
1233	C₂²×C₄	—	2	2	no	—
1234	C₂²×C₄	—	2	2	no	—
1235	C₂²×C₄	—	2	2	no	—
1236	C₂²×C₄	—	2	2	no	—
1237	C₂²×C₄	—	2	2	no	—
1238	C₂²×C₄	—	2	2	no	—
1239	C₂²×C₄	—	2	2	no	—
1240	C₂²×C₄	—	2	2	no	—
1241	C₂²×C₄	—	2	2	no	—
1242	C₂²×C₄	—	2	2	no	—
1243	C₂²×C₄	—	4	1	no	—
1244	C₂²×C₄	—	4	1	no	—
1245	C₂²×C₄	—	4	1	no	—
1246	C₂²×C₄	—	4	1	no	—
1247	C₂²×C₄	—	4	1	no	—
1248	C₂²×C₄	—	4	1	no	—
1249	C₂²×C₄	—	4	1	no	—
1250	C₂²×C₄	—	4	1	no	—
1251	C₂²×C₄	—	4	1	no	—
1252	C₂²×C₄	—	4	1	no	—
1253	C₂²×C₄	—	4	1	no	—
1254	C₂²×C₄	—	4	1	no	—
1255	C₂²×C₄	—	4	1	no	—
1256	C₂²×C₄	—	4	1	no	—
1257	C₂²×C₄	—	4	1	no	—
1258	C₂²×C₄	—	4	1	no	—
1259	C₂²×C₄	—	4	16	no	—
1260	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1261	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1262	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1263	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1264	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1265	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1266	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1267	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1268	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1269	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1270	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1271	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1272	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1273	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1274	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1275	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1276	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1277	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1278	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1279	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1280	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1281	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1282	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1283	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1284	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1285	C₄⋊C₄	—	2	2	no	—
1286	C₄⋊C₄	—	2	2	no	—
1287	C₄⋊C₄	—	2	2	no	—
1288	C₄⋊C₄	—	2	2	no	—
1289	C₄⋊C₄	—	2	2	no	—
1290	C₄⋊C₄	—	2	2	no	—
1291	C₄⋊C₄	—	2	2	no	—
1292	C₄⋊C₄	—	2	2	no	—
1293	C₄⋊C₄	—	2	2	no	—
1294	C₄⋊C₄	—	2	2	no	—
1295	C₄⋊C₄	—	4	1	no	—
1296	C₄⋊C₄	—	4	1	no	—
1297	C₄⋊C₄	—	4	1	no	—
1298	C₄⋊C₄	—	4	1	no	—
1299	C₄⋊C₄	—	4	1	no	—
1300	C₄⋊C₄	—	4	1	no	—
1301	C₄⋊C₄	—	4	1	no	—
1302	C₄⋊C₄	—	4	1	no	—
1303	C₄⋊C₄	—	4	1	no	—
1304	C₄⋊C₄	—	4	1	no	—
1305	C₄⋊C₄	—	4	1	no	—
1306	C₄⋊C₄	—	4	1	no	—
1307	C₄⋊C₄	—	4	1	no	—
1308	C₄⋊C₄	—	4	1	no	—
1309	C₄⋊C₄	—	4	1	no	—
1310	C₄⋊C₄	—	4	1	no	—
1311	C₄⋊C₄	—	4	1	no	—
1312	C₄⋊C₄	—	4	1	no	—
1313	C₄⋊C₄	—	4	1	no	—
1314	C₄⋊C₄	—	4	1	no	—
1315	C₄⋊C₄	—	4	1	no	—
1316	C₄⋊C₄	—	4	1	no	—
1317	C₂²⋊C₄	—	2	2	no	—
1318	C₂²⋊C₄	—	2	2	no	—
1319	C₂²⋊C₄	—	2	2	no	—
1320	C₂²⋊C₄	—	2	2	no	—
1321	C₂²⋊C₄	—	2	2	no	—
1322	C₂²⋊C₄	—	2	2	no	—
1323	C₂²⋊C₄	—	2	2	no	—
1324	C₂²⋊C₄	—	2	2	no	—
1325	C₂²⋊C₄	—	2	2	no	—
1326	C₂²⋊C₄	—	2	2	no	—
1327	C₂²⋊C₄	—	2	2	no	—
1328	C₂²⋊C₄	—	2	2	no	—
1329	C₂²⋊C₄	—	2	2	no	—
1330	C₂²⋊C₄	—	2	2	no	—
1331	C₂²⋊C₄	—	2	2	no	—
1332	C₂²⋊C₄	—	2	2	no	—
1333	C₂²⋊C₄	—	2	2	no	—
1334	C₂²⋊C₄	—	2	2	no	—
1335	C₂²⋊C₄	—	2	2	no	—
1336	C₂²⋊C₄	—	4	1	no	—
1337	C₂²⋊C₄	—	4	1	no	—
1338	C₂²⋊C₄	—	4	1	no	—
1339	C₂²⋊C₄	—	4	1	no	—
1340	C₂²⋊C₄	—	4	1	no	—
1341	C₂²⋊C₄	—	4	1	no	—
1342	C₂²⋊C₄	—	4	1	no	—
1343	C₂²⋊C₄	—	4	1	no	—
1344	C₂²⋊C₄	—	4	1	no	—
1345	C₂²⋊C₄	—	4	1	no	—
1346	C₂²⋊C₄	—	4	1	no	—
1347	C₂²⋊C₄	—	4	1	no	—
1348	C₂²⋊C₄	—	4	1	no	—
1349	C₂²⋊C₄	—	4	1	no	—
1350	C₂²⋊C₄	—	4	1	no	—
1351	C₂²⋊C₄	—	4	1	no	—
1352	C₂²⋊C₄	—	4	1	no	—
1353	C₂²⋊C₄	—	4	1	no	—
1354	C₂²⋊C₄	—	4	1	no	—
1355	C₂²⋊C₄	—	4	1	no	—
1356	C₂²⋊C₄	—	4	1	no	—
1357	C₂²⋊C₄	—	4	1	no	—
1358	C₂²⋊C₄	—	4	1	no	—
1359	C₂²⋊C₄	—	4	1	no	—
1360	C₂²⋊C₄	—	4	1	no	—
1361	C₂²⋊C₄	—	4	1	no	—
1362	C₂²⋊C₄	—	4	1	no	—
1363	C₂²⋊C₄	—	4	1	no	—
1364	C₂²⋊C₄	—	4	1	no	—
1365	C₂²⋊C₄	—	4	1	no	—
1366	C₂²⋊C₄	—	4	1	no	—
1367	C₂²⋊C₄	—	4	1	no	—
1368	C₂²⋊C₄	—	4	1	no	—
1369	C₂²⋊C₄	—	4	1	no	—
1370	C₂²⋊C₄	C₁₃×#41	1	4	yes	—
1371	C₄²	—	2	2	no	—
1372	C₄²	—	2	2	no	—
1373	C₄²	—	4	1	no	—
1374	C₄²	—	4	1	no	—
1375	C₄²	—	4	1	no	—
1376	C₄²	—	4	1	no	—
1377	C₄²	—	4	1	no	—
1378	C₄²	—	4	1	no	—
1379	C₄²	—	4	1	no	—
1380	C₁₃	#36904	1	1	yes	characteristic, direct product factor, Sylow
1381	C₂³	—	2	1	no	—
1382	C₂³	—	2	1	no	—
1383	C₂³	—	2	1	no	—
1384	C₂³	—	2	1	no	—
1385	C₂³	—	2	1	no	—
1386	C₂³	—	2	1	no	—
1387	C₂³	—	2	1	no	—
1388	C₂³	—	2	1	no	—
1389	C₂³	—	2	1	no	—
1390	C₂³	—	2	1	no	—
1391	C₂³	—	2	1	no	—
1392	C₂³	—	2	1	no	—
1393	C₂³	—	2	1	no	—
1394	C₂³	—	2	1	no	—
1395	C₂³	—	2	1	no	—
1396	C₂³	—	2	1	no	—
1397	C₂³	—	2	1	no	—
1398	C₂³	—	2	1	no	—
1399	C₂³	—	2	1	no	—
1400	C₂³	—	2	1	no	—
1401	C₂³	—	2	1	no	—
1402	C₂³	—	2	1	no	—
1403	C₂³	—	2	1	no	—
1404	C₂³	—	2	1	no	—
1405	C₂³	—	2	1	no	—
1406	C₂³	—	2	1	no	—
1407	C₂³	—	2	1	no	—
1408	C₂³	—	2	1	no	—
1409	C₂³	—	2	1	no	—
1410	C₂³	—	2	1	no	—
1411	C₂³	—	2	1	no	—
1412	C₂³	—	2	1	no	—
1413	C₂³	—	2	1	no	—
1414	C₂³	—	2	1	no	—
1415	C₂³	—	2	1	no	—
1416	C₂³	—	2	1	no	—
1417	C₂³	—	2	1	no	—
1418	C₂³	—	2	1	no	—
1419	C₂³	—	2	1	no	—
1420	C₂³	—	4	4	no	—
1421	C₂³	—	4	4	no	—
1422	C₂³	—	4	4	no	—
1423	C₂³	—	4	4	no	—
1424	C₂³	—	4	4	no	—
1425	C₂³	—	4	4	no	—
1426	C₂³	—	4	4	no	—
1427	C₂³	C₂×C₁₃×#41	1	2	yes	—
1428	C₂³	C₁₃×H(5,𝔽₂)	1	2	yes	—
1429	C₂³	C₁₃×2₋¹⁺⁴	1	2	yes	—
1430	C₂³	C₂⁵×C₁₃	1	1	yes	characteristic
1431	Q₈	—	8	2	no	—
1432	Q₈	—	8	2	no	—
1433	D₄	—	4	4	no	—
1434	D₄	—	4	4	no	—
1435	D₄	—	4	4	no	—
1436	D₄	—	8	2	no	—
1437	D₄	—	8	2	no	—
1438	D₄	—	8	2	no	—
1439	D₄	—	8	2	no	—
1440	D₄	—	8	2	no	—
1441	D₄	—	8	2	no	—
1442	D₄	—	8	2	no	—
1443	D₄	—	8	2	no	—
1444	D₄	—	8	2	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	—	2	1	no	—
1457	C₂×C₄	—	2	1	no	—
1458	C₂×C₄	—	2	1	no	—
1459	C₂×C₄	—	2	1	no	—
1460	C₂×C₄	—	2	1	no	—
1461	C₂×C₄	—	2	1	no	—
1462	C₂×C₄	—	2	1	no	—
1463	C₂×C₄	—	2	1	no	—
1464	C₂×C₄	—	2	1	no	—
1465	C₂×C₄	—	2	1	no	—
1466	C₂×C₄	—	2	1	no	—
1467	C₂×C₄	—	2	1	no	—
1468	C₂×C₄	—	2	1	no	—
1469	C₂×C₄	—	2	1	no	—
1470	C₂×C₄	—	2	1	no	—
1471	C₂×C₄	—	2	1	no	—
1472	C₂×C₄	—	2	1	no	—
1473	C₂×C₄	—	2	1	no	—
1474	C₂×C₄	—	2	1	no	—
1475	C₂×C₄	—	2	1	no	—
1476	C₂×C₄	—	2	1	no	—
1477	C₂×C₄	—	2	1	no	—
1478	C₂×C₄	—	2	1	no	—
1479	C₂×C₄	—	2	1	no	—
1480	C₂×C₄	—	2	1	no	—
1481	C₂×C₄	—	2	1	no	—
1482	C₂×C₄	—	2	1	no	—
1483	C₂×C₄	—	2	1	no	—
1484	C₂×C₄	—	2	1	no	—
1485	C₂×C₄	—	2	1	no	—
1486	C₂×C₄	—	2	1	no	—
1487	C₂×C₄	—	2	1	no	—
1488	C₂×C₄	—	2	1	no	—
1489	C₂×C₄	—	2	1	no	—
1490	C₂×C₄	—	2	1	no	—
1491	C₂×C₄	—	2	1	no	—
1492	C₂×C₄	—	2	1	no	—
1493	C₂×C₄	—	2	1	no	—
1494	C₂×C₄	—	2	1	no	—
1495	C₂×C₄	—	2	1	no	—
1496	C₂×C₄	—	2	1	no	—
1497	C₂×C₄	—	2	1	no	—
1498	C₂×C₄	—	2	1	no	—
1499	C₂×C₄	—	2	1	no	—
1500	C₂×C₄	—	2	1	no	—
1501	C₂×C₄	—	2	1	no	—
1502	C₂×C₄	—	2	1	no	—
1503	C₂×C₄	—	2	1	no	—
1504	C₂×C₄	—	2	1	no	—
1505	C₂×C₄	—	2	1	no	—
1506	C₂×C₄	—	2	1	no	—
1507	C₂×C₄	—	2	1	no	—
1508	C₂×C₄	—	2	1	no	—
1509	C₂×C₄	—	2	1	no	—
1510	C₂×C₄	—	2	1	no	—
1511	C₂×C₄	—	2	1	no	—
1512	C₂×C₄	—	2	1	no	—
1513	C₂×C₄	—	2	1	no	—
1514	C₂×C₄	—	2	1	no	—
1515	C₂×C₄	—	4	4	no	—
1516	C₂×C₄	—	4	4	no	—
1517	C₂×C₄	—	4	4	no	—
1518	C₂×C₄	—	4	4	no	—
1519	C₂×C₄	—	4	4	no	—
1520	C₂×C₄	—	4	4	no	—
1521	C₂×C₄	—	8	2	no	—
1522	C₂×C₄	—	8	2	no	—
1523	C₂×C₄	—	8	2	no	—
1524	C₂×C₄	C₂×C₁₃×#41	1	2	yes	—
1525	C₂×C₄	C₂×C₁₃×#41	1	2	yes	—
1526	C₂×C₄	C₁₃×H(5,𝔽₂)	1	2	yes	—
1527	C₂×C₄	C₁₃×H(5,𝔽₂)	1	2	yes	—
1528	C₂×C₄	C₁₃×H(5,𝔽₂)	1	2	yes	—
1529	C₂²	—	2	2	no	—
1530	C₂²	—	2	2	no	—
1531	C₂²	—	2	2	no	—
1532	C₂²	—	2	2	no	—
1533	C₂²	—	2	2	no	—
1534	C₂²	—	2	2	no	—
1535	C₂²	—	2	2	no	—
1536	C₂²	—	2	2	no	—
1537	C₂²	—	2	2	no	—
1538	C₂²	—	4	16	no	—
1539	C₂²	—	4	1	no	—
1540	C₂²	—	4	1	no	—
1541	C₂²	—	4	1	no	—
1542	C₂²	—	4	1	no	—
1543	C₂²	—	4	1	no	—
1544	C₂²	—	4	1	no	—
1545	C₂²	—	4	1	no	—
1546	C₂²	—	4	1	no	—
1547	C₂²	—	4	1	no	—
1548	C₂²	—	4	1	no	—
1549	C₂²	—	4	1	no	—
1550	C₂²	—	4	1	no	—
1551	C₂²	—	4	1	no	—
1552	C₂²	—	4	1	no	—
1553	C₂²	—	4	1	no	—
1554	C₂²	—	4	1	no	—
1555	C₂²	—	4	1	no	—
1556	C₂²	—	4	1	no	—
1557	C₂²	—	4	1	no	—
1558	C₂²	—	4	1	no	—
1559	C₂²	—	4	1	no	—
1560	C₂²	—	4	1	no	—
1561	C₂²	—	4	1	no	—
1562	C₂²	—	4	1	no	—
1563	C₂²	—	4	1	no	—
1564	C₂²	—	4	1	no	—
1565	C₂²	—	4	1	no	—
1566	C₂²	—	4	1	no	—
1567	C₂²	—	4	1	no	—
1568	C₂²	—	4	1	no	—
1569	C₂²	—	4	1	no	—
1570	C₂²	—	4	1	no	—
1571	C₂²	—	4	1	no	—
1572	C₂²	C₂²×C₁₃×#41	1	1	yes	characteristic
1573	C₂²	C₂×C₁₃×H(5,𝔽₂)	1	1	yes	characteristic
1574	C₂²	C₂×C₁₃×H(5,𝔽₂)	1	1	yes	characteristic
1575	C₂²	C₂×C₁₃×H(5,𝔽₂)	1	1	yes	characteristic
1576	C₂²	C₂×C₁₃×H(5,𝔽₂)	1	1	yes	characteristic
1577	C₂²	C₂×C₁₃×2₋¹⁺⁴	1	1	yes	characteristic
1578	C₂²	C₁₃×#585	1	1	yes	characteristic
1579	C₄	—	2	2	no	—
1580	C₄	—	2	2	no	—
1581	C₄	—	2	2	no	—
1582	C₄	—	2	2	no	—
1583	C₄	—	2	2	no	—
1584	C₄	—	4	1	no	—
1585	C₄	—	4	1	no	—
1586	C₄	—	4	1	no	—
1587	C₄	—	4	1	no	—
1588	C₄	—	4	1	no	—
1589	C₄	—	4	1	no	—
1590	C₄	—	4	1	no	—
1591	C₄	—	4	1	no	—
1592	C₄	—	4	1	no	—
1593	C₄	—	4	1	no	—
1594	C₄	—	4	1	no	—
1595	C₄	—	4	1	no	—
1596	C₄	—	4	1	no	—
1597	C₄	—	4	1	no	—
1598	C₄	—	4	1	no	—
1599	C₄	—	4	1	no	—
1600	C₄	—	4	1	no	—
1601	C₄	—	4	1	no	—
1602	C₄	—	4	1	no	—
1603	C₄	—	4	1	no	—
1604	C₂	—	4	2	no	—
1605	C₂	—	4	2	no	—
1606	C₂	—	4	2	no	—
1607	C₂	—	8	1	no	—
1608	C₂	—	8	1	no	—
1609	C₂	—	8	1	no	—
1610	C₂	C₁₃×#3460	1	1	yes	characteristic
1611	C₂	C₁₃×#3519	1	1	yes	characteristic
1612	C₂	C₁₃×#3520	1	1	yes	characteristic
1613	C₂	C₁₃×#3532	1	1	yes	characteristic
1614	C₂	C₁₃×#3536	1	1	yes	characteristic
1615	C₂	C₁₃×#3541	1	1	yes	characteristic
1616	C₂	C₁₃×#3542	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂³×C₁₃	C₂⁵
commutator, Frattini, cosocle	C₂³	C₂⁵×C₁₃
LCS	G ▷ C₂³ ▷ C₁
UCS	C₁ ◁ C₂³×C₁₃ ◁ G

Complements

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

N	H ≅ G/N	type
1. C₁₃×#2848	C₂	semidirect
2. C₁₃×#2847	C₂	semidirect
3. C₁₃×#2780	C₂	semidirect
4. C₁₃×#2770	C₂	semidirect
5. C₁₃×#2756	C₂	semidirect
6. C₁₃×#2741	C₂	semidirect
7. C₁₃×#2730	C₂	semidirect
8. C₁₃×#2715	C₂	semidirect
9. C₁₃×#2711	C₂	semidirect
10. C₁₃×#2704	C₂	semidirect
11. C₁₃×#2697	C₂	semidirect
12. C₁₃×#2692	C₂	semidirect
13. C₁₃×#2685	C₂	semidirect
14. C₁₃×#2678	C₂	semidirect
15. C₁₃×#2676	C₂	semidirect
16. C₁₃×#2672	C₂	semidirect
17. C₁₃×#2671	C₂	semidirect
18. C₁₃×#2670	C₂	semidirect
19. C₁₃×#2636	C₂	semidirect
20. C₁₃×#2630	C₂	semidirect
21. C₁₃×#2574	C₂	semidirect
22. C₁₃×#2560	C₂	semidirect
23. C₁₃×#2559	C₂	semidirect
24. C₁₃×#2553	C₂	semidirect
25. C₁₃×#2464	C₂	semidirect
26. C₁₃×#2461	C₂	semidirect
27. C₁₃×#2454	C₂	semidirect
28. C₁₃×#2427	C₂	semidirect
29. C₁₃×#2337	C₂	semidirect
30. C₁₃×#2335	C₂	semidirect
31. C₄×C₁₃×#120	C₂	semidirect
34. C₂×C₁₃×#126	C₂²	semidirect
35. C₂×C₁₃×#125	C₂²	semidirect
38. C₂×C₁₃×#124	C₂²	semidirect
41. C₂×C₁₃×#123	C₂²	semidirect
45. C₂×C₁₃×C₂²⋊Q₈	C₂²	semidirect
50. C₂×C₁₃×#121	C₂²	semidirect
57. C₁₃×#400	C₂²	semidirect
58. C₁₃×#400	C₂²	semidirect
60. C₁₃×#399	C₂²	semidirect
61. C₁₃×#399	C₂²	semidirect
62. C₁₃×#399	C₂²	semidirect
63. C₁₃×#398	C₂²	semidirect
64. C₁₃×#398	C₂²	semidirect
65. C₁₃×#398	C₂²	semidirect
66. C₁₃×#398	C₂²	semidirect
67. C₁₃×#398	C₂²	semidirect
71. C₁₃×#397	C₂²	semidirect
72. C₁₃×#397	C₂²	semidirect
77. C₁₃×#396	C₂²	semidirect
78. C₁₃×#396	C₂²	semidirect
79. C₁₃×#396	C₂²	semidirect
80. C₁₃×#396	C₂²	semidirect
81. C₁₃×#395	C₂²	semidirect
82. C₁₃×#395	C₂²	semidirect
93. C₁₃×#394	C₂²	semidirect
94. C₁₃×#394	C₂²	semidirect
95. C₁₃×#394	C₂²	semidirect
96. C₁₃×#394	C₂²	semidirect
97. C₁₃×#394	C₂²	semidirect
99. C₁₃×#393	C₂²	semidirect
105. C₁₃×#391	C₂²	semidirect
106. C₁₃×#391	C₂²	semidirect
107. C₁₃×#391	C₂²	semidirect
115. C₁₃×#389	C₂²	semidirect
116. C₁₃×#389	C₂²	semidirect
117. C₁₃×#389	C₂²	semidirect
118. C₁₃×#389	C₂²	semidirect
127. C₁₃×#388	C₂²	semidirect
128. C₁₃×#388	C₂²	semidirect
129. C₁₃×#388	C₂²	semidirect
130. C₁₃×#388	C₂²	semidirect
131. C₁₃×#388	C₂²	semidirect
132. C₁₃×#388	C₂²	semidirect
133. C₁₃×#388	C₂²	semidirect
134. C₁₃×#388	C₂²	semidirect
135. C₁₃×#387	C₂²	semidirect
136. C₁₃×#387	C₂²	semidirect
137. C₁₃×#387	C₂²	semidirect
138. C₁₃×#387	C₂²	semidirect
139. C₁₃×#387	C₂²	semidirect
140. C₁₃×#387	C₂²	semidirect
153. C₁₃×#386	C₂²	semidirect
154. C₁₃×#386	C₂²	semidirect
164. C₁₃×#385	C₂²	semidirect
165. C₁₃×#385	C₂²	semidirect
166. C₁₃×#385	C₂²	semidirect
167. C₁₃×#383	C₂²	semidirect
168. C₁₃×#382	C₂²	semidirect
175. C₁₃×#380	C₂²	semidirect
176. C₁₃×#380	C₂²	semidirect
180. C₄×C₁₃×C₄⋊C₄	C₂²	semidirect
181. C₄×C₁₃×C₄⋊C₄	C₂²	semidirect
185. C₄×C₁₃×C₂²⋊C₄	C₂²	semidirect
186. C₄×C₁₃×C₂²⋊C₄	C₂²	semidirect
369. #36904	C₁₃	direct (N × H)
573. #2848	C₂×C₁₃	semidirect
574. #2847	C₂×C₁₃	semidirect
575. #2780	C₂×C₁₃	semidirect
576. #2770	C₂×C₁₃	semidirect
577. #2756	C₂×C₁₃	semidirect
578. #2741	C₂×C₁₃	semidirect
579. #2730	C₂×C₁₃	semidirect
580. #2715	C₂×C₁₃	semidirect
581. #2711	C₂×C₁₃	semidirect
582. #2704	C₂×C₁₃	semidirect
583. #2697	C₂×C₁₃	semidirect
584. #2692	C₂×C₁₃	semidirect
585. #2685	C₂×C₁₃	semidirect
586. #2678	C₂×C₁₃	semidirect
587. #2676	C₂×C₁₃	semidirect
588. #2672	C₂×C₁₃	semidirect
589. #2671	C₂×C₁₃	semidirect
590. #2670	C₂×C₁₃	semidirect
591. #2636	C₂×C₁₃	semidirect
592. #2630	C₂×C₁₃	semidirect
593. #2574	C₂×C₁₃	semidirect
594. #2560	C₂×C₁₃	semidirect
595. #2559	C₂×C₁₃	semidirect
596. #2553	C₂×C₁₃	semidirect
597. #2464	C₂×C₁₃	semidirect
598. #2461	C₂×C₁₃	semidirect
599. #2454	C₂×C₁₃	semidirect
600. #2427	C₂×C₁₃	semidirect
601. #2337	C₂×C₁₃	semidirect
602. #2335	C₂×C₁₃	semidirect
603. C₄×#120	C₂×C₁₃	semidirect
754. C₂×#126	C₂²×C₁₃	semidirect
755. C₂×#125	C₂²×C₁₃	semidirect
758. C₂×#124	C₂²×C₁₃	semidirect
761. C₂×#123	C₂²×C₁₃	semidirect
765. C₂×C₂²⋊Q₈	C₂²×C₁₃	semidirect
770. C₂×#121	C₂²×C₁₃	semidirect
777. #400	C₂²×C₁₃	semidirect
778. #400	C₂²×C₁₃	semidirect
780. #399	C₂²×C₁₃	semidirect
781. #399	C₂²×C₁₃	semidirect
782. #399	C₂²×C₁₃	semidirect
783. #398	C₂²×C₁₃	semidirect
784. #398	C₂²×C₁₃	semidirect
785. #398	C₂²×C₁₃	semidirect
786. #398	C₂²×C₁₃	semidirect
787. #398	C₂²×C₁₃	semidirect
791. #397	C₂²×C₁₃	semidirect
792. #397	C₂²×C₁₃	semidirect
797. #396	C₂²×C₁₃	semidirect
798. #396	C₂²×C₁₃	semidirect
799. #396	C₂²×C₁₃	semidirect
800. #396	C₂²×C₁₃	semidirect
801. #395	C₂²×C₁₃	semidirect
802. #395	C₂²×C₁₃	semidirect
813. #394	C₂²×C₁₃	semidirect
814. #394	C₂²×C₁₃	semidirect
815. #394	C₂²×C₁₃	semidirect
816. #394	C₂²×C₁₃	semidirect
817. #394	C₂²×C₁₃	semidirect
819. #393	C₂²×C₁₃	semidirect
825. #391	C₂²×C₁₃	semidirect
826. #391	C₂²×C₁₃	semidirect
827. #391	C₂²×C₁₃	semidirect
835. #389	C₂²×C₁₃	semidirect
836. #389	C₂²×C₁₃	semidirect
837. #389	C₂²×C₁₃	semidirect
838. #389	C₂²×C₁₃	semidirect
847. #388	C₂²×C₁₃	semidirect
848. #388	C₂²×C₁₃	semidirect
849. #388	C₂²×C₁₃	semidirect
850. #388	C₂²×C₁₃	semidirect
851. #388	C₂²×C₁₃	semidirect
852. #388	C₂²×C₁₃	semidirect
853. #388	C₂²×C₁₃	semidirect
854. #388	C₂²×C₁₃	semidirect
855. #387	C₂²×C₁₃	semidirect
856. #387	C₂²×C₁₃	semidirect
857. #387	C₂²×C₁₃	semidirect
858. #387	C₂²×C₁₃	semidirect
859. #387	C₂²×C₁₃	semidirect
860. #387	C₂²×C₁₃	semidirect
873. #386	C₂²×C₁₃	semidirect
874. #386	C₂²×C₁₃	semidirect
884. #385	C₂²×C₁₃	semidirect
885. #385	C₂²×C₁₃	semidirect
886. #385	C₂²×C₁₃	semidirect
887. #383	C₂²×C₁₃	semidirect
888. #382	C₂²×C₁₃	semidirect
895. #380	C₂²×C₁₃	semidirect
896. #380	C₂²×C₁₃	semidirect
900. C₄×C₄⋊C₄	C₂²×C₁₃	semidirect
901. C₄×C₄⋊C₄	C₂²×C₁₃	semidirect
905. C₄×C₂²⋊C₄	C₂²×C₁₃	semidirect
906. C₄×C₂²⋊C₄	C₂²×C₁₃	semidirect
1380. C₁₃	#36904	direct (N × H)

Maximal subgroups

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

subgroup	index
C₁₃×#2848	2
C₁₃×#2847	2
C₁₃×#2780	2
C₁₃×#2770	2
C₁₃×#2756	2
C₁₃×#2741	2
C₁₃×#2730	2
C₁₃×#2715	2
C₁₃×#2711	2
C₁₃×#2704	2
C₁₃×#2697	2
C₁₃×#2692	2
C₁₃×#2685	2
C₁₃×#2678	2
C₁₃×#2676	2
C₁₃×#2672	2
C₁₃×#2671	2
C₁₃×#2670	2
C₁₃×#2636	2
C₁₃×#2630	2
C₁₃×#2574	2
C₁₃×#2560	2
C₁₃×#2559	2
C₁₃×#2553	2
C₁₃×#2464	2
C₁₃×#2461	2
C₁₃×#2454	2
C₁₃×#2427	2
C₁₃×#2337	2
C₁₃×#2335	2
C₄×C₁₃×#120	2
#36904	13

Subgroups — C13×#36904 #15723243

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₃×#36904 #15723243