Subgroups — C₁₃×#61096 #15747435

Order 3328.

2686 conjugacy classes of subgroups.

The subgroup lattice has 1368 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×C₁₃×#578	C₂	1	1	yes	maximal, characteristic, complemented
2	C₂×C₁₃×#577	C₂	1	1	yes	maximal, characteristic, complemented
3	C₁₃×#3500	C₂	1	1	yes	maximal, characteristic, complemented
4	C₁₃×#3497	C₂	1	1	yes	maximal, characteristic, complemented
5	C₁₃×#3285	C₂	1	2	yes	maximal, complemented
6	C₁₃×#3282	C₂	1	2	yes	maximal, complemented
7	C₁₃×#3277	C₂	1	2	yes	maximal, complemented
8	C₁₃×#3275	C₂	1	2	yes	maximal, complemented
9	C₁₃×#3271	C₂	1	2	yes	maximal, complemented
10	C₁₃×#3270	C₂	1	2	yes	maximal, complemented
11	C₁₃×#3268	C₂	1	2	yes	maximal, complemented
12	C₁₃×#3266	C₂	1	2	yes	maximal, complemented
13	C₁₃×#3153	C₂	1	1	yes	maximal, characteristic, complemented
14	C₁₃×#3063	C₂	1	1	yes	maximal, characteristic, complemented
15	C₁₃×#3062	C₂	1	1	yes	maximal, characteristic, complemented
16	C₁₃×#3035	C₂	1	1	yes	maximal, characteristic, complemented
17	C₂×C₁₃×#464	C₂	1	1	yes	maximal, characteristic, complemented
18	C₁₃×#3013	C₂	1	1	yes	maximal, characteristic, complemented
19	C₁₃×#3012	C₂	1	1	yes	maximal, characteristic, complemented
20	C₁₃×#3011	C₂	1	1	yes	maximal, characteristic, complemented
21	C₁₃×#3010	C₂	1	1	yes	maximal, characteristic, complemented
22	C₄×C₁₃×#137	C₂	1	1	yes	maximal, characteristic, complemented
23	C₁₃×#2935	C₂	1	1	yes	maximal, characteristic, complemented
24	C₂×C₁₃×2₋¹⁺⁴	C₂²	1	1	yes	characteristic
25	C₂×C₁₃×2₋¹⁺⁴	C₂²	1	1	yes	characteristic
26	C₂×C₁₃×2₋¹⁺⁴	C₂²	1	1	yes	characteristic, complemented
27	C₂×C₁₃×H(5,𝔽₂)	C₂²	1	1	yes	characteristic
28	C₁₃×#578	—	2	8	no	—
29	C₁₃×#577	—	2	8	no	—
30	C₂×C₁₃×#137	C₂²	1	2	yes	—
31	C₂×C₁₃×#137	C₂²	1	1	yes	characteristic
32	C₂×C₁₃×#137	C₂²	1	2	yes	complemented
33	C₂×C₁₃×#137	C₂²	1	2	yes	complemented
34	C₂×C₁₃×#137	C₂²	1	1	yes	characteristic, complemented
35	C₂×C₁₃×#137	C₂²	1	1	yes	characteristic, complemented
36	C₂×C₁₃×AGL(1,ℤ/8)	C₂²	1	2	yes	—
37	C₂×C₁₃×AGL(1,ℤ/8)	C₂²	1	1	yes	characteristic
38	C₂×C₁₃×AGL(1,ℤ/8)	C₂²	1	1	yes	characteristic
39	C₂×C₁₃×#135	C₂²	1	1	yes	characteristic
40	C₂×C₁₃×#135	C₂²	1	1	yes	characteristic
41	C₂×C₁₃×#135	C₂²	1	2	yes	—
42	C₂×C₁₃×#135	C₂²	1	2	yes	complemented
43	C₂²×C₁₃×Q₁₆	C₂²	1	1	yes	characteristic, complemented
44	C₂²×C₁₃×Q₁₆	C₂²	1	2	yes	complemented
45	C₂²×C₁₃×SD₁₆	C₂²	1	1	yes	characteristic
46	C₂²×C₁₃×SD₁₆	C₂²	1	2	yes	—
47	C₂×C₁₃×#131	C₂²	1	1	yes	characteristic
48	C₂×C₁₃×#131	C₂²	1	1	yes	characteristic, complemented
49	C₁₃×#550	—	2	1	no	—
50	C₁₃×#550	C₂²	1	2	yes	complemented
51	D₄×Q₈×C₁₃	—	2	1	no	—
52	D₄×Q₈×C₁₃	C₂²	1	2	yes	complemented
53	C₁₃×#548	—	2	1	no	—
54	C₁₃×#548	—	2	1	no	—
55	C₁₃×#548	C₂²	1	2	yes	—
56	C₁₃×#548	C₂²	1	2	yes	—
57	C₁₃×#548	C₂²	1	2	yes	complemented
58	C₁₃×#548	C₂²	1	2	yes	complemented
59	C₁₃×#546	—	2	2	no	—
60	C₁₃×#546	—	2	2	no	—
61	C₁₃×#546	C₂²	1	2	yes	—
62	C₁₃×#546	C₂²	1	2	yes	—
63	C₁₃×#537	—	2	2	no	—
64	C₁₃×#537	C₂²	1	1	yes	characteristic
65	C₁₃×#537	C₂²	1	1	yes	characteristic, complemented
66	C₁₃×#536	—	2	1	no	—
67	C₁₃×#536	C₂²	1	1	yes	characteristic
68	C₁₃×#535	—	2	1	no	—
69	C₁₃×#535	C₂²	1	1	yes	characteristic
70	C₁₃×#532	—	2	1	no	—
71	C₁₃×#532	—	2	2	no	—
72	C₁₃×#532	C₂²	1	1	yes	characteristic
73	C₁₃×#532	C₂²	1	1	yes	characteristic, complemented
74	C₂×C₁₃×#124	—	2	1	no	—
75	C₂×C₁₃×#124	C₂²	1	1	yes	characteristic
76	C₄×C₁₃×#41	C₂²	1	1	yes	characteristic
77	C₂×C₄×Q₈×C₁₃	C₂²	1	1	yes	characteristic, complemented
78	C₁₃×#497	C₂²	1	2	yes	complemented
79	C₁₃×#496	C₂²	1	2	yes	complemented
80	C₁₃×#495	C₂²	1	2	yes	complemented
81	C₁₃×#495	C₂²	1	2	yes	complemented
82	C₁₃×#470	C₂²	1	2	yes	complemented
83	C₁₃×#469	C₂²	1	2	yes	complemented
84	C₁₃×#468	C₂²	1	2	yes	complemented
85	C₁₃×#468	C₂²	1	2	yes	complemented
86	C₁₃×#467	C₂²	1	2	yes	complemented
87	C₁₃×#466	C₂²	1	2	yes	complemented
88	C₁₃×#465	C₂²	1	2	yes	complemented
89	C₁₃×#465	C₂²	1	2	yes	complemented
90	C₁₃×#464	C₂²	1	2	yes	complemented
91	C₁₃×#464	C₂²	1	2	yes	complemented
92	C₁₃×#464	C₂²	1	2	yes	complemented
93	C₁₃×#464	C₂²	1	1	yes	characteristic, complemented
94	C₁₃×#464	C₂²	1	2	yes	complemented
95	C₁₃×#464	C₂²	1	1	yes	characteristic, complemented
96	C₁₃×#463	C₂²	1	1	yes	characteristic, complemented
97	C₁₃×#463	C₂²	1	1	yes	characteristic, complemented
98	C₁₃×#462	C₂²	1	1	yes	characteristic, complemented
99	C₁₃×#461	C₂²	1	1	yes	characteristic, complemented
100	C₁₃×#460	C₂²	1	1	yes	characteristic, complemented
101	C₁₃×#459	C₂²	1	1	yes	characteristic, complemented
102	C₁₃×#452	C₂²	1	2	yes	—
103	C₁₃×#452	C₂²	1	2	yes	complemented
104	C₁₃×#452	C₂²	1	2	yes	complemented
105	C₁₃×#452	C₂²	1	2	yes	complemented
106	C₁₃×#451	C₂²	1	2	yes	complemented
107	C₁₃×#451	C₂²	1	2	yes	complemented
108	C₁₃×#451	C₂²	1	2	yes	complemented
109	C₁₃×#450	C₂²	1	2	yes	—
110	C₁₃×#449	C₂²	1	2	yes	—
111	C₁₃×#449	C₂²	1	2	yes	complemented
112	C₁₃×#449	C₂²	1	2	yes	complemented
113	C₁₃×#449	C₂²	1	2	yes	complemented
114	C₁₃×#448	C₂²	1	2	yes	complemented
115	C₁₃×#448	C₂²	1	2	yes	complemented
116	C₁₃×#448	C₂²	1	2	yes	complemented
117	C₁₃×#447	C₂²	1	2	yes	—
118	C₁₃×#441	C₂²	1	2	yes	complemented
119	C₁₃×#440	C₂²	1	2	yes	complemented
120	C₄×C₁₃×Q₁₆	C₂²	1	2	yes	complemented
121	C₄×C₁₃×SD₁₆	C₂²	1	2	yes	complemented
122	C₁₃×#436	C₂²	1	2	yes	complemented
123	C₁₃×#435	C₂²	1	2	yes	complemented
124	C₁₃×#435	C₂²	1	2	yes	complemented
125	C₈×D₄×C₁₃	C₂²	1	2	yes	complemented
126	C₁₃×#428	C₂²	1	1	yes	characteristic, complemented
127	C₂×C₁₃×C₄⋊C₈	C₂²	1	1	yes	characteristic, complemented
128	C₁₃×#419	C₂²	1	1	yes	characteristic, complemented
129	C₁₃×#417	C₂²	1	1	yes	characteristic
130	C₁₃×#416	C₂²	1	1	yes	characteristic, complemented
131	C₁₃×#416	C₂²	1	1	yes	characteristic, complemented
132	C₂×C₁₃×#103	C₂²	1	1	yes	characteristic, complemented
133	C₂×C₁₃×#102	C₂²	1	1	yes	characteristic
134	C₁₃×#408	C₂²	1	1	yes	characteristic
135	C₁₃×#408	C₂²	1	1	yes	characteristic, complemented
136	C₄×C₁₃×M₁₆	C₂²	1	1	yes	characteristic, complemented
137	C₁₃×2₋¹⁺⁴	—	2	4	no	—
138	C₁₃×2₋¹⁺⁴	—	2	4	no	—
139	C₁₃×2₋¹⁺⁴	—	2	4	no	—
140	C₁₃×2₋¹⁺⁴	—	4	2	no	—
141	C₁₃×2₋¹⁺⁴	—	4	2	no	—
142	C₁₃×2₋¹⁺⁴	—	4	2	no	—
143	C₁₃×H(5,𝔽₂)	—	2	4	no	—
144	C₁₃×H(5,𝔽₂)	—	4	2	no	—
145	C₂×C₁₃×#41	—	2	1	no	—
146	C₂×C₁₃×#41	—	2	1	no	—
147	C₂×C₁₃×#41	—	2	2	no	—
148	C₂×C₁₃×#41	—	2	2	no	—
149	C₂×C₁₃×#41	—	2	2	no	—
150	C₂×C₁₃×#41	—	2	1	no	—
151	C₂×C₁₃×#41	—	2	1	no	—
152	C₂×C₁₃×#41	C₂³	1	1	yes	characteristic
153	C₂×C₁₃×#41	C₂³	1	1	yes	characteristic
154	C₂×C₁₃×#41	C₂³	1	2	yes	—
155	C₂×C₁₃×#41	C₂³	1	2	yes	—
156	C₂×C₁₃×#41	C₂³	1	2	yes	—
157	C₂×C₁₃×#41	C₂³	1	2	yes	—
158	C₂×C₁₃×#41	C₂³	1	1	yes	characteristic
159	C₂×C₁₃×#41	C₂³	1	1	yes	characteristic
160	C₂×C₁₃×#41	C₂³	1	1	yes	characteristic
161	C₂²×Q₈×C₁₃	—	2	1	no	—
162	C₂²×Q₈×C₁₃	—	2	1	no	—
163	C₂²×Q₈×C₁₃	—	2	1	no	—
164	C₂²×Q₈×C₁₃	C₂³	1	1	yes	characteristic
165	C₂²×Q₈×C₁₃	C₂³	1	2	yes	—
166	C₂²×Q₈×C₁₃	C₂³	1	2	yes	—
167	C₂²×Q₈×C₁₃	C₂³	1	2	yes	—
168	C₂²×Q₈×C₁₃	C₂³	1	1	yes	characteristic
169	C₂²×D₄×C₁₃	—	2	1	no	—
170	C₂²×D₄×C₁₃	—	2	2	no	—
171	C₂²×D₄×C₁₃	C₂³	1	1	yes	characteristic
172	C₂²×D₄×C₁₃	C₂³	1	2	yes	—
173	C₁₃×#137	—	2	8	no	—
174	C₁₃×#137	—	2	8	no	—
175	C₁₃×#137	—	2	8	no	—
176	C₁₃×#137	—	2	4	no	—
177	C₁₃×#137	—	4	2	no	—
178	C₁₃×#137	D₄	1	8	yes	complemented
179	C₁₃×AGL(1,ℤ/8)	—	2	8	no	—
180	C₁₃×AGL(1,ℤ/8)	—	2	4	no	—
181	C₁₃×AGL(1,ℤ/8)	—	4	2	no	—
182	C₁₃×#135	—	2	4	no	—
183	C₁₃×#135	—	2	4	no	—
184	C₁₃×#135	—	2	8	no	—
185	C₁₃×#135	—	2	8	no	—
186	C₂×C₁₃×Q₁₆	—	2	4	no	—
187	C₂×C₁₃×Q₁₆	—	2	8	no	—
188	C₂×C₁₃×Q₁₆	C₂³	1	1	yes	characteristic
189	C₂×C₁₃×Q₁₆	C₂³	1	2	yes	—
190	C₂×C₁₃×Q₁₆	C₂³	1	2	yes	—
191	C₂×C₁₃×Q₁₆	C₂³	1	1	yes	characteristic
192	C₂×C₁₃×Q₁₆	C₂³	1	2	yes	—
193	C₂×C₁₃×Q₁₆	C₂³	1	2	yes	—
194	C₂×C₁₃×Q₁₆	C₂³	1	2	yes	—
195	C₂×C₁₃×SD₁₆	—	2	4	no	—
196	C₂×C₁₃×SD₁₆	—	2	8	no	—
197	C₂×C₁₃×SD₁₆	C₂³	1	1	yes	characteristic
198	C₂×C₁₃×SD₁₆	C₂³	1	2	yes	—
199	C₂×C₁₃×SD₁₆	C₂³	1	2	yes	—
200	C₂×C₁₃×SD₁₆	C₂³	1	1	yes	characteristic
201	C₂×C₁₃×SD₁₆	C₂³	1	1	yes	characteristic
202	C₂×C₁₃×SD₁₆	C₂³	1	1	yes	characteristic
203	C₂×C₁₃×SD₁₆	C₂³	1	2	yes	—
204	C₂×C₁₃×SD₁₆	C₂³	1	2	yes	—
205	C₂×C₁₃×SD₁₆	C₂³	1	2	yes	—
206	C₂×C₁₃×SD₁₆	C₂³	1	2	yes	—
207	C₂×C₁₃×SD₁₆	C₂³	1	2	yes	—
208	C₂×C₁₃×D₈	C₂³	1	1	yes	characteristic
209	C₂×C₁₃×D₈	C₂³	1	1	yes	characteristic
210	C₂×C₁₃×D₈	C₂³	1	2	yes	—
211	C₂×C₁₃×D₈	C₂³	1	2	yes	—
212	C₁₃×#131	—	2	4	no	—
213	C₁₃×#131	—	2	4	no	—
214	C₂×C₁₃×M₁₆	C₂³	1	1	yes	characteristic
215	C₂×C₁₃×M₁₆	C₂³	1	2	yes	—
216	C₂×C₁₃×M₁₆	C₂³	1	2	yes	—
217	C₂×C₁₃×M₁₆	C₂³	1	1	yes	characteristic
218	C₂²×C₈×C₁₃	C₂³	1	1	yes	characteristic
219	C₂²×C₈×C₁₃	C₂³	1	1	yes	characteristic
220	C₂²×C₈×C₁₃	C₂³	1	2	yes	—
221	C₂²×C₈×C₁₃	C₂³	1	2	yes	—
222	C₁₃×C₄⋊Q₈	—	2	1	no	—
223	C₁₃×C₄⋊Q₈	—	2	2	no	—
224	C₁₃×C₄⋊Q₈	D₄	1	1	yes	characteristic
225	C₁₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
226	C₁₃×#127	—	2	1	no	—
227	C₁₃×#127	—	2	2	no	—
228	C₁₃×#127	D₄	1	1	yes	characteristic
229	C₁₃×#127	C₂³	1	1	yes	characteristic
230	C₁₃×#124	—	2	1	no	—
231	C₁₃×#124	—	2	1	no	—
232	C₁₃×#124	—	2	2	no	—
233	C₁₃×#124	—	2	2	no	—
234	C₁₃×#124	—	2	2	no	—
235	C₁₃×#124	—	2	2	no	—
236	C₁₃×#124	—	2	1	no	—
237	C₁₃×#124	—	2	1	no	—
238	C₁₃×#124	D₄	1	1	yes	characteristic
239	C₁₃×#124	D₄	1	1	yes	characteristic
240	C₁₃×#124	C₂³	1	1	yes	characteristic
241	C₁₃×#124	C₂³	1	1	yes	characteristic
242	C₁₃×#124	C₂³	1	2	yes	—
243	C₁₃×#124	C₂³	1	2	yes	—
244	C₁₃×#123	—	2	2	no	—
245	C₁₃×#123	—	2	2	no	—
246	C₁₃×#123	—	2	2	no	—
247	C₁₃×C₂²⋊Q₈	—	2	1	no	—
248	C₁₃×C₂²⋊Q₈	—	2	1	no	—
249	C₁₃×C₂²⋊Q₈	—	2	2	no	—
250	C₁₃×C₂²⋊Q₈	—	2	2	no	—
251	C₁₃×C₂²⋊Q₈	—	2	2	no	—
252	C₁₃×C₂²⋊Q₈	—	2	2	no	—
253	C₁₃×C₂²⋊Q₈	—	2	2	no	—
254	C₁₃×C₂²⋊Q₈	—	2	2	no	—
255	C₁₃×C₂²⋊Q₈	C₂³	1	2	yes	—
256	C₁₃×C₂²⋊Q₈	C₂³	1	2	yes	—
257	C₁₃×C₂²⋊Q₈	C₂³	1	2	yes	—
258	C₁₃×C₂²⋊Q₈	C₂³	1	2	yes	—
259	C₁₃×#121	—	2	2	no	—
260	C₁₃×#121	—	2	2	no	—
261	C₁₃×#121	—	2	2	no	—
262	C₁₃×#121	—	2	2	no	—
263	C₁₃×#121	—	2	2	no	—
264	C₁₃×#121	—	2	2	no	—
265	C₁₃×#121	—	2	1	no	—
266	C₁₃×#121	—	2	1	no	—
267	C₁₃×#121	—	2	1	no	—
268	C₁₃×#121	—	2	1	no	—
269	C₁₃×#121	—	2	2	no	—
270	C₁₃×#121	—	2	2	no	—
271	C₁₃×#121	—	2	2	no	—
272	C₁₃×#121	—	2	2	no	—
273	C₁₃×#121	D₄	1	2	yes	—
274	C₁₃×#121	D₄	1	2	yes	—
275	C₁₃×#121	C₂³	1	2	yes	—
276	C₁₃×#121	C₂³	1	2	yes	—
277	C₁₃×#121	C₂³	1	2	yes	—
278	C₁₃×#121	C₂³	1	2	yes	—
279	C₁₃×#120	—	2	2	no	—
280	C₁₃×#120	—	2	2	no	—
281	C₁₃×#120	—	2	2	no	—
282	C₄×Q₈×C₁₃	—	2	1	no	—
283	C₄×Q₈×C₁₃	—	2	1	no	—
284	C₄×Q₈×C₁₃	C₂³	1	2	yes	—
285	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
286	C₄×Q₈×C₁₃	C₂³	1	2	yes	—
287	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
288	C₄×D₄×C₁₃	—	2	2	no	—
289	C₄×D₄×C₁₃	—	2	1	no	—
290	C₄×D₄×C₁₃	—	2	1	no	—
291	C₄×D₄×C₁₃	—	2	2	no	—
292	C₄×D₄×C₁₃	—	2	2	no	—
293	C₄×D₄×C₁₃	—	2	2	no	—
294	C₄×D₄×C₁₃	—	2	2	no	—
295	C₄×D₄×C₁₃	—	2	2	no	—
296	C₄×D₄×C₁₃	—	2	1	no	—
297	C₄×D₄×C₁₃	—	2	1	no	—
298	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
299	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
300	C₄×D₄×C₁₃	C₂³	1	2	yes	—
301	C₄×D₄×C₁₃	C₂³	1	2	yes	—
302	C₁₃×#117	—	2	1	no	—
303	C₁₃×#117	C₂³	1	1	yes	characteristic
304	C₂×C₁₃×C₄⋊C₄	—	2	1	no	—
305	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
306	C₂×C₁₃×C₂²⋊C₄	—	2	1	no	—
307	C₂×C₁₃×C₂²⋊C₄	—	2	1	no	—
308	C₂×C₁₃×C₂²⋊C₄	—	2	2	no	—
309	C₂×C₁₃×C₂²⋊C₄	—	2	2	no	—
310	C₂×C₄²×C₁₃	—	2	1	no	—
311	C₂×C₄²×C₁₃	—	2	1	no	—
312	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
313	C₁₃×#107	C₂³	1	2	yes	—
314	C₁₃×#106	C₂³	1	2	yes	—
315	C₁₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
316	C₁₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
317	C₁₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
318	C₁₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
319	C₁₃×#103	C₂³	1	2	yes	—
320	C₁₃×#103	C₂³	1	2	yes	—
321	C₁₃×#103	C₂³	1	1	yes	characteristic
322	C₁₃×#103	C₂³	1	1	yes	characteristic
323	C₁₃×#103	C₂³	1	1	yes	characteristic
324	C₁₃×#103	C₂³	1	1	yes	characteristic
325	C₁₃×#103	C₂³	1	2	yes	—
326	C₁₃×#103	C₂³	1	2	yes	—
327	C₁₃×#103	C₂³	1	2	yes	—
328	C₁₃×#102	C₂³	1	2	yes	—
329	C₁₃×#102	C₂³	1	2	yes	—
330	C₁₃×#102	C₂³	1	1	yes	characteristic
331	C₁₃×#102	C₂³	1	1	yes	characteristic
332	C₁₃×#102	C₂³	1	1	yes	characteristic
333	C₁₃×#102	C₂³	1	1	yes	characteristic
334	C₁₃×#102	C₂³	1	2	yes	—
335	C₁₃×C₂²⋊C₈	C₂³	1	2	yes	—
336	C₁₃×C₂²⋊C₈	C₂³	1	2	yes	—
337	C₁₃×C₂²⋊C₈	C₂³	1	2	yes	—
338	C₁₃×C₂²⋊C₈	C₂³	1	2	yes	—
339	C₁₃×#97	C₂³	1	2	yes	—
340	C₄×C₈×C₁₃	C₂³	1	2	yes	—
341	#61096	C₁₃	1	1	yes	maximal, characteristic, direct product factor, Sylow
342	C₂⁴×C₁₃	—	2	2	no	—
343	C₂⁴×C₁₃	—	2	1	no	—
344	C₁₃×#41	—	2	2	no	—
345	C₁₃×#41	—	2	2	no	—
346	C₁₃×#41	—	2	2	no	—
347	C₁₃×#41	—	2	2	no	—
348	C₁₃×#41	—	2	2	no	—
349	C₁₃×#41	—	2	4	no	—
350	C₁₃×#41	—	2	4	no	—
351	C₁₃×#41	—	2	4	no	—
352	C₁₃×#41	—	2	4	no	—
353	C₁₃×#41	—	2	2	no	—
354	C₁₃×#41	—	2	2	no	—
355	C₁₃×#41	—	2	2	no	—
356	C₁₃×#41	—	2	2	no	—
357	C₁₃×#41	—	4	2	no	—
358	C₁₃×#41	—	4	2	no	—
359	C₁₃×#41	—	4	2	no	—
360	C₁₃×#41	—	4	2	no	—
361	C₁₃×#41	—	4	8	no	—
362	C₁₃×#41	—	4	8	no	—
363	C₁₃×#41	—	4	4	no	—
364	C₁₃×#41	—	4	4	no	—
365	C₁₃×#41	—	4	8	no	—
366	C₁₃×#41	—	4	4	no	—
367	C₁₃×#41	—	4	4	no	—
368	C₁₃×#41	C₂×D₄	1	4	yes	—
369	C₂×Q₈×C₁₃	—	2	1	no	—
370	C₂×Q₈×C₁₃	—	2	2	no	—
371	C₂×Q₈×C₁₃	—	2	2	no	—
372	C₂×Q₈×C₁₃	—	2	2	no	—
373	C₂×Q₈×C₁₃	—	2	1	no	—
374	C₂×Q₈×C₁₃	—	2	2	no	—
375	C₂×Q₈×C₁₃	—	2	4	no	—
376	C₂×Q₈×C₁₃	—	2	4	no	—
377	C₂×Q₈×C₁₃	—	2	4	no	—
378	C₂×Q₈×C₁₃	—	2	2	no	—
379	C₂×Q₈×C₁₃	—	2	2	no	—
380	C₂×Q₈×C₁₃	—	4	2	no	—
381	C₂×Q₈×C₁₃	—	4	2	no	—
382	C₂×Q₈×C₁₃	—	4	2	no	—
383	C₂×Q₈×C₁₃	—	4	4	no	—
384	C₂×Q₈×C₁₃	—	4	4	no	—
385	C₂×Q₈×C₁₃	—	4	4	no	—
386	C₂×Q₈×C₁₃	C₂×D₄	1	4	yes	—
387	C₂×Q₈×C₁₃	C₂×D₄	1	1	yes	characteristic
388	C₂×Q₈×C₁₃	C₂×D₄	1	1	yes	characteristic
389	C₂×Q₈×C₁₃	C₂⁴	1	2	yes	—
390	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
391	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
392	C₂×Q₈×C₁₃	C₂⁴	1	2	yes	—
393	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
394	C₂×D₄×C₁₃	—	2	1	no	—
395	C₂×D₄×C₁₃	—	2	4	no	—
396	C₂×D₄×C₁₃	—	2	2	no	—
397	C₂×D₄×C₁₃	—	2	1	no	—
398	C₂×D₄×C₁₃	—	2	1	no	—
399	C₂×D₄×C₁₃	—	2	2	no	—
400	C₂×D₄×C₁₃	—	2	2	no	—
401	C₂×D₄×C₁₃	—	2	2	no	—
402	C₂×D₄×C₁₃	—	2	2	no	—
403	C₂×D₄×C₁₃	—	2	2	no	—
404	C₂×D₄×C₁₃	—	2	2	no	—
405	C₂×D₄×C₁₃	—	2	2	no	—
406	C₂×D₄×C₁₃	—	2	2	no	—
407	C₂×D₄×C₁₃	—	2	1	no	—
408	C₂×D₄×C₁₃	—	2	2	no	—
409	C₂×D₄×C₁₃	—	2	1	no	—
410	C₂×D₄×C₁₃	—	2	1	no	—
411	C₂×D₄×C₁₃	—	2	2	no	—
412	C₂×D₄×C₁₃	—	4	2	no	—
413	C₂×D₄×C₁₃	—	4	4	no	—
414	C₂×D₄×C₁₃	—	4	8	no	—
415	C₂×D₄×C₁₃	C₂×D₄	1	2	yes	—
416	C₂×D₄×C₁₃	C₂×D₄	1	2	yes	—
417	C₂×D₄×C₁₃	C₂×D₄	1	1	yes	characteristic
418	C₂×D₄×C₁₃	C₂×D₄	1	1	yes	characteristic
419	C₂×D₄×C₁₃	C₂×D₄	1	2	yes	—
420	C₂×D₄×C₁₃	C₂×D₄	1	2	yes	—
421	C₂×D₄×C₁₃	C₂⁴	1	2	yes	—
422	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
423	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
424	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
425	C₂²×C₄×C₁₃	—	2	1	no	—
426	C₂²×C₄×C₁₃	—	2	1	no	—
427	C₂²×C₄×C₁₃	—	2	1	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	1	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	1	no	—
436	C₂²×C₄×C₁₃	—	2	1	no	—
437	C₂²×C₄×C₁₃	—	2	2	no	—
438	C₂²×C₄×C₁₃	—	2	1	no	—
439	C₂²×C₄×C₁₃	—	2	1	no	—
440	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
441	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
442	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
443	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
444	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
445	C₁₃×Q₁₆	—	2	4	no	—
446	C₁₃×Q₁₆	—	2	2	no	—
447	C₁₃×Q₁₆	—	2	4	no	—
448	C₁₃×Q₁₆	—	2	2	no	—
449	C₁₃×Q₁₆	—	2	4	no	—
450	C₁₃×Q₁₆	—	4	2	no	—
451	C₁₃×Q₁₆	C₂×D₄	1	8	yes	—
452	C₁₃×SD₁₆	—	2	4	no	—
453	C₁₃×SD₁₆	—	2	4	no	—
454	C₁₃×SD₁₆	—	2	2	no	—
455	C₁₃×SD₁₆	—	2	2	no	—
456	C₁₃×SD₁₆	—	2	2	no	—
457	C₁₃×SD₁₆	—	2	2	no	—
458	C₁₃×SD₁₆	—	2	4	no	—
459	C₁₃×SD₁₆	—	2	4	no	—
460	C₁₃×SD₁₆	—	4	2	no	—
461	C₁₃×SD₁₆	—	4	2	no	—
462	C₁₃×SD₁₆	C₂×D₄	1	8	yes	—
463	C₁₃×D₈	—	2	2	no	—
464	C₁₃×D₈	—	2	2	no	—
465	C₁₃×D₈	—	2	4	no	—
466	C₁₃×D₈	—	4	2	no	—
467	C₁₃×M₁₆	—	2	2	no	—
468	C₁₃×M₁₆	—	2	4	no	—
469	C₁₃×M₁₆	—	2	4	no	—
470	C₁₃×M₁₆	C₂×D₄	1	4	yes	—
471	C₂×C₈×C₁₃	—	2	2	no	—
472	C₂×C₈×C₁₃	—	2	2	no	—
473	C₂×C₈×C₁₃	—	2	4	no	—
474	C₂×C₈×C₁₃	—	2	4	no	—
475	C₂×C₈×C₁₃	C₂⁴	1	2	yes	—
476	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
477	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
478	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
479	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
480	C₂×C₈×C₁₃	C₂⁴	1	2	yes	—
481	C₁₃×C₄⋊C₄	—	2	2	no	—
482	C₁₃×C₄⋊C₄	—	2	2	no	—
483	C₁₃×C₄⋊C₄	—	2	1	no	—
484	C₁₃×C₄⋊C₄	—	2	1	no	—
485	C₁₃×C₄⋊C₄	—	2	1	no	—
486	C₁₃×C₄⋊C₄	—	2	1	no	—
487	C₁₃×C₄⋊C₄	—	2	1	no	—
488	C₁₃×C₄⋊C₄	—	2	2	no	—
489	C₁₃×C₄⋊C₄	—	2	2	no	—
490	C₁₃×C₄⋊C₄	—	2	2	no	—
491	C₁₃×C₄⋊C₄	—	2	2	no	—
492	C₁₃×C₄⋊C₄	C₂×D₄	1	2	yes	—
493	C₁₃×C₄⋊C₄	C₂×D₄	1	2	yes	—
494	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
495	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
496	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
497	C₁₃×C₂²⋊C₄	—	2	2	no	—
498	C₁₃×C₂²⋊C₄	—	2	2	no	—
499	C₁₃×C₂²⋊C₄	—	2	1	no	—
500	C₁₃×C₂²⋊C₄	—	2	2	no	—
501	C₁₃×C₂²⋊C₄	—	2	2	no	—
502	C₁₃×C₂²⋊C₄	—	2	2	no	—
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	—	2	1	no	—
509	C₁₃×C₂²⋊C₄	—	2	1	no	—
510	C₁₃×C₂²⋊C₄	—	2	1	no	—
511	C₁₃×C₂²⋊C₄	—	2	1	no	—
512	C₁₃×C₂²⋊C₄	—	2	1	no	—
513	C₁₃×C₂²⋊C₄	—	2	1	no	—
514	C₁₃×C₂²⋊C₄	—	2	2	no	—
515	C₁₃×C₂²⋊C₄	—	2	2	no	—
516	C₁₃×C₂²⋊C₄	C₂×D₄	1	2	yes	—
517	C₁₃×C₂²⋊C₄	C₂×D₄	1	2	yes	—
518	C₁₃×C₂²⋊C₄	C₂×D₄	1	2	yes	—
519	C₁₃×C₂²⋊C₄	C₂×D₄	1	2	yes	—
520	C₄²×C₁₃	—	2	1	no	—
521	C₄²×C₁₃	—	2	1	no	—
522	C₄²×C₁₃	—	2	1	no	—
523	C₄²×C₁₃	—	2	2	no	—
524	C₄²×C₁₃	—	2	2	no	—
525	C₄²×C₁₃	C₂×D₄	1	1	yes	characteristic
526	C₄²×C₁₃	C₂×D₄	1	1	yes	characteristic
527	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
528	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
529	C₂×#578	C₂×C₁₃	1	1	yes	characteristic, complemented
530	C₂×#577	C₂×C₁₃	1	1	yes	characteristic, complemented
531	#3500	C₂×C₁₃	1	1	yes	characteristic, complemented
532	#3497	C₂×C₁₃	1	1	yes	characteristic, complemented
533	#3285	C₂×C₁₃	1	2	yes	complemented
534	#3282	C₂×C₁₃	1	2	yes	complemented
535	#3277	C₂×C₁₃	1	2	yes	complemented
536	#3275	C₂×C₁₃	1	2	yes	complemented
537	#3271	C₂×C₁₃	1	2	yes	complemented
538	#3270	C₂×C₁₃	1	2	yes	complemented
539	#3268	C₂×C₁₃	1	2	yes	complemented
540	#3266	C₂×C₁₃	1	2	yes	complemented
541	#3153	C₂×C₁₃	1	1	yes	characteristic, complemented
542	#3063	C₂×C₁₃	1	1	yes	characteristic, complemented
543	#3062	C₂×C₁₃	1	1	yes	characteristic, complemented
544	#3035	C₂×C₁₃	1	1	yes	characteristic, complemented
545	C₂×#464	C₂×C₁₃	1	1	yes	characteristic, complemented
546	#3013	C₂×C₁₃	1	1	yes	characteristic, complemented
547	#3012	C₂×C₁₃	1	1	yes	characteristic, complemented
548	#3011	C₂×C₁₃	1	1	yes	characteristic, complemented
549	#3010	C₂×C₁₃	1	1	yes	characteristic, complemented
550	C₄×#137	C₂×C₁₃	1	1	yes	characteristic, complemented
551	#2935	C₂×C₁₃	1	1	yes	characteristic, complemented
552	C₂³×C₁₃	—	2	1	no	—
553	C₂³×C₁₃	—	2	2	no	—
554	C₂³×C₁₃	—	2	1	no	—
555	C₂³×C₁₃	—	2	1	no	—
556	C₂³×C₁₃	—	4	4	no	—
557	C₂³×C₁₃	—	4	2	no	—
558	C₂³×C₁₃	—	8	1	no	—
559	C₂³×C₁₃	—	8	1	no	—
560	C₂³×C₁₃	—	8	2	no	—
561	C₂³×C₁₃	—	8	2	no	—
562	C₂³×C₁₃	C₂²×D₄	1	2	yes	—
563	C₂³×C₁₃	C₂²×D₄	1	2	yes	—
564	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
565	Q₈×C₁₃	—	2	4	no	—
566	Q₈×C₁₃	—	2	2	no	—
567	Q₈×C₁₃	—	2	2	no	—
568	Q₈×C₁₃	—	2	2	no	—
569	Q₈×C₁₃	—	2	1	no	—
570	Q₈×C₁₃	—	2	1	no	—
571	Q₈×C₁₃	—	2	1	no	—
572	Q₈×C₁₃	—	2	2	no	—
573	Q₈×C₁₃	—	2	1	no	—
574	Q₈×C₁₃	—	2	2	no	—
575	Q₈×C₁₃	—	2	1	no	—
576	Q₈×C₁₃	—	4	4	no	—
577	Q₈×C₁₃	—	4	4	no	—
578	Q₈×C₁₃	—	4	4	no	—
579	Q₈×C₁₃	—	4	2	no	—
580	Q₈×C₁₃	C₂²×D₄	1	4	yes	—
581	Q₈×C₁₃	C₂²×D₄	1	2	yes	—
582	D₄×C₁₃	—	2	4	no	—
583	D₄×C₁₃	—	2	4	no	—
584	D₄×C₁₃	—	2	4	no	—
585	D₄×C₁₃	—	2	2	no	—
586	D₄×C₁₃	—	2	2	no	—
587	D₄×C₁₃	—	2	1	no	—
588	D₄×C₁₃	—	2	2	no	—
589	D₄×C₁₃	—	2	1	no	—
590	D₄×C₁₃	—	2	1	no	—
591	D₄×C₁₃	—	2	1	no	—
592	D₄×C₁₃	—	2	2	no	—
593	D₄×C₁₃	—	2	1	no	—
594	D₄×C₁₃	—	4	2	no	—
595	D₄×C₁₃	—	4	2	no	—
596	D₄×C₁₃	—	4	4	no	—
597	D₄×C₁₃	—	4	4	no	—
598	D₄×C₁₃	—	4	4	no	—
599	D₄×C₁₃	—	4	4	no	—
600	D₄×C₁₃	—	4	2	no	—
601	D₄×C₁₃	—	4	4	no	—
602	D₄×C₁₃	—	4	2	no	—
603	D₄×C₁₃	—	4	2	no	—
604	D₄×C₁₃	—	4	2	no	—
605	D₄×C₁₃	—	8	1	no	—
606	D₄×C₁₃	—	8	2	no	—
607	D₄×C₁₃	—	8	2	no	—
608	D₄×C₁₃	—	8	2	no	—
609	D₄×C₁₃	—	8	2	no	—
610	D₄×C₁₃	C₂²×D₄	1	2	yes	—
611	C₂×C₄×C₁₃	—	2	4	no	—
612	C₂×C₄×C₁₃	—	2	1	no	—
613	C₂×C₄×C₁₃	—	2	2	no	—
614	C₂×C₄×C₁₃	—	2	4	no	—
615	C₂×C₄×C₁₃	—	2	2	no	—
616	C₂×C₄×C₁₃	—	2	2	no	—
617	C₂×C₄×C₁₃	—	2	2	no	—
618	C₂×C₄×C₁₃	—	2	2	no	—
619	C₂×C₄×C₁₃	—	2	1	no	—
620	C₂×C₄×C₁₃	—	2	1	no	—
621	C₂×C₄×C₁₃	—	2	2	no	—
622	C₂×C₄×C₁₃	—	2	2	no	—
623	C₂×C₄×C₁₃	—	2	1	no	—
624	C₂×C₄×C₁₃	—	2	1	no	—
625	C₂×C₄×C₁₃	—	4	1	no	—
626	C₂×C₄×C₁₃	—	4	1	no	—
627	C₂×C₄×C₁₃	—	4	4	no	—
628	C₂×C₄×C₁₃	—	4	4	no	—
629	C₂×C₄×C₁₃	—	4	4	no	—
630	C₂×C₄×C₁₃	—	4	4	no	—
631	C₂×C₄×C₁₃	—	4	4	no	—
632	C₂×C₄×C₁₃	—	4	4	no	—
633	C₂×C₄×C₁₃	—	4	4	no	—
634	C₂×C₄×C₁₃	—	4	2	no	—
635	C₂×C₄×C₁₃	—	4	2	no	—
636	C₂×C₄×C₁₃	—	4	2	no	—
637	C₂×C₄×C₁₃	—	8	1	no	—
638	C₂×C₄×C₁₃	—	8	1	no	—
639	C₂×C₄×C₁₃	—	8	1	no	—
640	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
641	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
642	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
643	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
644	C₂×C₄×C₁₃	C₂²×D₄	1	2	yes	—
645	C₂×C₄×C₁₃	C₂²×D₄	1	2	yes	—
646	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
647	C₂×C₄×C₁₃	C₂²×D₄	1	2	yes	—
648	C₂×C₄×C₁₃	H(5,𝔽₂)	1	2	yes	—
649	C₂×C₄×C₁₃	C₂⁵	1	1	yes	characteristic
650	C₈×C₁₃	—	2	1	no	—
651	C₈×C₁₃	—	2	1	no	—
652	C₈×C₁₃	—	2	1	no	—
653	C₈×C₁₃	—	2	1	no	—
654	C₈×C₁₃	—	2	2	no	—
655	C₈×C₁₃	C₂²×D₄	1	4	yes	—
656	C₂×2₋¹⁺⁴	C₂²×C₁₃	1	1	yes	characteristic
657	C₂×2₋¹⁺⁴	C₂²×C₁₃	1	1	yes	characteristic
658	C₂×2₋¹⁺⁴	C₂²×C₁₃	1	1	yes	characteristic, complemented
659	C₂×H(5,𝔽₂)	C₂²×C₁₃	1	1	yes	characteristic
660	#578	—	2	8	no	—
661	#577	—	2	8	no	—
662	C₂×#137	C₂²×C₁₃	1	2	yes	—
663	C₂×#137	C₂²×C₁₃	1	1	yes	characteristic
664	C₂×#137	C₂²×C₁₃	1	1	yes	characteristic, complemented
665	C₂×#137	C₂²×C₁₃	1	2	yes	complemented
666	C₂×#137	C₂²×C₁₃	1	2	yes	complemented
667	C₂×#137	C₂²×C₁₃	1	1	yes	characteristic, complemented
668	C₂×AGL(1,ℤ/8)	C₂²×C₁₃	1	1	yes	characteristic
669	C₂×AGL(1,ℤ/8)	C₂²×C₁₃	1	2	yes	—
670	C₂×AGL(1,ℤ/8)	C₂²×C₁₃	1	1	yes	characteristic
671	C₂×#135	C₂²×C₁₃	1	1	yes	characteristic
672	C₂×#135	C₂²×C₁₃	1	1	yes	characteristic
673	C₂×#135	C₂²×C₁₃	1	2	yes	—
674	C₂×#135	C₂²×C₁₃	1	2	yes	complemented
675	C₂²×Q₁₆	C₂²×C₁₃	1	1	yes	characteristic, complemented
676	C₂²×Q₁₆	C₂²×C₁₃	1	2	yes	complemented
677	C₂²×SD₁₆	C₂²×C₁₃	1	1	yes	characteristic
678	C₂²×SD₁₆	C₂²×C₁₃	1	2	yes	—
679	C₂×#131	C₂²×C₁₃	1	1	yes	characteristic
680	C₂×#131	C₂²×C₁₃	1	1	yes	characteristic, complemented
681	#550	—	2	1	no	—
682	#550	C₂²×C₁₃	1	2	yes	complemented
683	D₄×Q₈	—	2	1	no	—
684	D₄×Q₈	C₂²×C₁₃	1	2	yes	complemented
685	#548	—	2	1	no	—
686	#548	—	2	1	no	—
687	#548	C₂²×C₁₃	1	2	yes	—
688	#548	C₂²×C₁₃	1	2	yes	—
689	#548	C₂²×C₁₃	1	2	yes	complemented
690	#548	C₂²×C₁₃	1	2	yes	complemented
691	#546	—	2	2	no	—
692	#546	—	2	2	no	—
693	#546	C₂²×C₁₃	1	2	yes	—
694	#546	C₂²×C₁₃	1	2	yes	—
695	#537	—	2	2	no	—
696	#537	C₂²×C₁₃	1	1	yes	characteristic
697	#537	C₂²×C₁₃	1	1	yes	characteristic, complemented
698	#536	—	2	1	no	—
699	#536	C₂²×C₁₃	1	1	yes	characteristic
700	#535	—	2	1	no	—
701	#535	C₂²×C₁₃	1	1	yes	characteristic
702	#532	—	2	1	no	—
703	#532	—	2	2	no	—
704	#532	C₂²×C₁₃	1	1	yes	characteristic
705	#532	C₂²×C₁₃	1	1	yes	characteristic, complemented
706	C₂×#124	—	2	1	no	—
707	C₂×#124	C₂²×C₁₃	1	1	yes	characteristic
708	C₄×#41	C₂²×C₁₃	1	1	yes	characteristic
709	C₂×C₄×Q₈	C₂²×C₁₃	1	1	yes	characteristic, complemented
710	#497	C₂²×C₁₃	1	2	yes	complemented
711	#496	C₂²×C₁₃	1	2	yes	complemented
712	#495	C₂²×C₁₃	1	2	yes	complemented
713	#495	C₂²×C₁₃	1	2	yes	complemented
714	#470	C₂²×C₁₃	1	2	yes	complemented
715	#469	C₂²×C₁₃	1	2	yes	complemented
716	#468	C₂²×C₁₃	1	2	yes	complemented
717	#468	C₂²×C₁₃	1	2	yes	complemented
718	#467	C₂²×C₁₃	1	2	yes	complemented
719	#466	C₂²×C₁₃	1	2	yes	complemented
720	#465	C₂²×C₁₃	1	2	yes	complemented
721	#465	C₂²×C₁₃	1	2	yes	complemented
722	#464	C₂²×C₁₃	1	2	yes	complemented
723	#464	C₂²×C₁₃	1	2	yes	complemented
724	#464	C₂²×C₁₃	1	2	yes	complemented
725	#464	C₂²×C₁₃	1	1	yes	characteristic, complemented
726	#464	C₂²×C₁₃	1	2	yes	complemented
727	#464	C₂²×C₁₃	1	1	yes	characteristic, complemented
728	#463	C₂²×C₁₃	1	1	yes	characteristic, complemented
729	#463	C₂²×C₁₃	1	1	yes	characteristic, complemented
730	#462	C₂²×C₁₃	1	1	yes	characteristic, complemented
731	#461	C₂²×C₁₃	1	1	yes	characteristic, complemented
732	#460	C₂²×C₁₃	1	1	yes	characteristic, complemented
733	#459	C₂²×C₁₃	1	1	yes	characteristic, complemented
734	#452	C₂²×C₁₃	1	2	yes	—
735	#452	C₂²×C₁₃	1	2	yes	complemented
736	#452	C₂²×C₁₃	1	2	yes	complemented
737	#452	C₂²×C₁₃	1	2	yes	complemented
738	#451	C₂²×C₁₃	1	2	yes	complemented
739	#451	C₂²×C₁₃	1	2	yes	complemented
740	#451	C₂²×C₁₃	1	2	yes	complemented
741	#450	C₂²×C₁₃	1	2	yes	—
742	#449	C₂²×C₁₃	1	2	yes	—
743	#449	C₂²×C₁₃	1	2	yes	complemented
744	#449	C₂²×C₁₃	1	2	yes	complemented
745	#449	C₂²×C₁₃	1	2	yes	complemented
746	#448	C₂²×C₁₃	1	2	yes	complemented
747	#448	C₂²×C₁₃	1	2	yes	complemented
748	#448	C₂²×C₁₃	1	2	yes	complemented
749	#447	C₂²×C₁₃	1	2	yes	—
750	#441	C₂²×C₁₃	1	2	yes	complemented
751	#440	C₂²×C₁₃	1	2	yes	complemented
752	C₄×Q₁₆	C₂²×C₁₃	1	2	yes	complemented
753	C₄×SD₁₆	C₂²×C₁₃	1	2	yes	complemented
754	#436	C₂²×C₁₃	1	2	yes	complemented
755	#435	C₂²×C₁₃	1	2	yes	complemented
756	#435	C₂²×C₁₃	1	2	yes	complemented
757	C₈×D₄	C₂²×C₁₃	1	2	yes	complemented
758	#428	C₂²×C₁₃	1	1	yes	characteristic, complemented
759	C₂×C₄⋊C₈	C₂²×C₁₃	1	1	yes	characteristic, complemented
760	#419	C₂²×C₁₃	1	1	yes	characteristic, complemented
761	#417	C₂²×C₁₃	1	1	yes	characteristic
762	#416	C₂²×C₁₃	1	1	yes	characteristic, complemented
763	#416	C₂²×C₁₃	1	1	yes	characteristic, complemented
764	C₂×#103	C₂²×C₁₃	1	1	yes	characteristic, complemented
765	C₂×#102	C₂²×C₁₃	1	1	yes	characteristic
766	#408	C₂²×C₁₃	1	1	yes	characteristic
767	#408	C₂²×C₁₃	1	1	yes	characteristic, complemented
768	C₄×M₁₆	C₂²×C₁₃	1	1	yes	characteristic, complemented
769	C₂²×C₁₃	—	2	1	no	—
770	C₂²×C₁₃	—	2	1	no	—
771	C₂²×C₁₃	—	2	2	no	—
772	C₂²×C₁₃	—	2	2	no	—
773	C₂²×C₁₃	—	2	2	no	—
774	C₂²×C₁₃	—	2	2	no	—
775	C₂²×C₁₃	—	2	2	no	—
776	C₂²×C₁₃	—	2	2	no	—
777	C₂²×C₁₃	—	2	2	no	—
778	C₂²×C₁₃	—	4	1	no	—
779	C₂²×C₁₃	—	4	1	no	—
780	C₂²×C₁₃	—	4	1	no	—
781	C₂²×C₁₃	—	4	1	no	—
782	C₂²×C₁₃	—	4	2	no	—
783	C₂²×C₁₃	—	4	1	no	—
784	C₂²×C₁₃	—	4	1	no	—
785	C₂²×C₁₃	—	4	2	no	—
786	C₂²×C₁₃	—	4	1	no	—
787	C₂²×C₁₃	—	4	1	no	—
788	C₂²×C₁₃	—	4	2	no	—
789	C₂²×C₁₃	—	16	2	no	—
790	C₂²×C₁₃	—	16	4	no	—
791	C₂²×C₁₃	D₄²	1	2	yes	—
792	C₂²×C₁₃	C₂³×D₄	1	1	yes	characteristic
793	C₄×C₁₃	—	2	1	no	—
794	C₄×C₁₃	—	2	1	no	—
795	C₄×C₁₃	—	2	1	no	—
796	C₄×C₁₃	—	2	1	no	—
797	C₄×C₁₃	—	2	2	no	—
798	C₄×C₁₃	—	2	4	no	—
799	C₄×C₁₃	—	2	2	no	—
800	C₄×C₁₃	—	2	2	no	—
801	C₄×C₁₃	—	4	1	no	—
802	C₄×C₁₃	—	4	2	no	—
803	C₄×C₁₃	—	4	1	no	—
804	C₄×C₁₃	—	4	2	no	—
805	C₄×C₁₃	—	4	1	no	—
806	C₄×C₁₃	—	4	1	no	—
807	C₄×C₁₃	D₄²	1	2	yes	—
808	C₄×C₁₃	C₂³×D₄	1	1	yes	characteristic
809	C₄×C₁₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
810	2₋¹⁺⁴	—	2	4	no	—
811	2₋¹⁺⁴	—	2	4	no	—
812	2₋¹⁺⁴	—	2	4	no	—
813	2₋¹⁺⁴	—	4	2	no	—
814	2₋¹⁺⁴	—	4	2	no	—
815	2₋¹⁺⁴	—	4	2	no	—
816	H(5,𝔽₂)	—	2	4	no	—
817	H(5,𝔽₂)	—	4	2	no	—
818	C₂×#41	—	2	1	no	—
819	C₂×#41	—	2	1	no	—
820	C₂×#41	—	2	2	no	—
821	C₂×#41	—	2	2	no	—
822	C₂×#41	—	2	2	no	—
823	C₂×#41	—	2	1	no	—
824	C₂×#41	—	2	1	no	—
825	C₂×#41	C₂³×C₁₃	1	1	yes	characteristic
826	C₂×#41	C₂³×C₁₃	1	1	yes	characteristic
827	C₂×#41	C₂³×C₁₃	1	2	yes	—
828	C₂×#41	C₂³×C₁₃	1	2	yes	—
829	C₂×#41	C₂³×C₁₃	1	2	yes	—
830	C₂×#41	C₂³×C₁₃	1	2	yes	—
831	C₂×#41	C₂³×C₁₃	1	1	yes	characteristic
832	C₂×#41	C₂³×C₁₃	1	1	yes	characteristic
833	C₂×#41	C₂³×C₁₃	1	1	yes	characteristic
834	C₂²×Q₈	—	2	1	no	—
835	C₂²×Q₈	—	2	1	no	—
836	C₂²×Q₈	—	2	1	no	—
837	C₂²×Q₈	C₂³×C₁₃	1	1	yes	characteristic
838	C₂²×Q₈	C₂³×C₁₃	1	2	yes	—
839	C₂²×Q₈	C₂³×C₁₃	1	2	yes	—
840	C₂²×Q₈	C₂³×C₁₃	1	2	yes	—
841	C₂²×Q₈	C₂³×C₁₃	1	1	yes	characteristic
842	C₂²×D₄	—	2	1	no	—
843	C₂²×D₄	—	2	2	no	—
844	C₂²×D₄	C₂³×C₁₃	1	1	yes	characteristic
845	C₂²×D₄	C₂³×C₁₃	1	2	yes	—
846	#137	—	2	8	no	—
847	#137	—	2	8	no	—
848	#137	—	2	8	no	—
849	#137	—	2	4	no	—
850	#137	—	4	2	no	—
851	#137	D₄×C₁₃	1	8	yes	complemented
852	AGL(1,ℤ/8)	—	2	8	no	—
853	AGL(1,ℤ/8)	—	2	4	no	—
854	AGL(1,ℤ/8)	—	4	2	no	—
855	#135	—	2	4	no	—
856	#135	—	2	4	no	—
857	#135	—	2	8	no	—
858	#135	—	2	8	no	—
859	C₂×Q₁₆	—	2	4	no	—
860	C₂×Q₁₆	—	2	8	no	—
861	C₂×Q₁₆	C₂³×C₁₃	1	1	yes	characteristic
862	C₂×Q₁₆	C₂³×C₁₃	1	2	yes	—
863	C₂×Q₁₆	C₂³×C₁₃	1	2	yes	—
864	C₂×Q₁₆	C₂³×C₁₃	1	2	yes	—
865	C₂×Q₁₆	C₂³×C₁₃	1	1	yes	characteristic
866	C₂×Q₁₆	C₂³×C₁₃	1	2	yes	—
867	C₂×Q₁₆	C₂³×C₁₃	1	2	yes	—
868	C₂×SD₁₆	—	2	4	no	—
869	C₂×SD₁₆	—	2	8	no	—
870	C₂×SD₁₆	C₂³×C₁₃	1	2	yes	—
871	C₂×SD₁₆	C₂³×C₁₃	1	1	yes	characteristic
872	C₂×SD₁₆	C₂³×C₁₃	1	2	yes	—
873	C₂×SD₁₆	C₂³×C₁₃	1	2	yes	—
874	C₂×SD₁₆	C₂³×C₁₃	1	1	yes	characteristic
875	C₂×SD₁₆	C₂³×C₁₃	1	1	yes	characteristic
876	C₂×SD₁₆	C₂³×C₁₃	1	1	yes	characteristic
877	C₂×SD₁₆	C₂³×C₁₃	1	2	yes	—
878	C₂×SD₁₆	C₂³×C₁₃	1	2	yes	—
879	C₂×SD₁₆	C₂³×C₁₃	1	2	yes	—
880	C₂×SD₁₆	C₂³×C₁₃	1	2	yes	—
881	C₂×D₈	C₂³×C₁₃	1	1	yes	characteristic
882	C₂×D₈	C₂³×C₁₃	1	1	yes	characteristic
883	C₂×D₈	C₂³×C₁₃	1	2	yes	—
884	C₂×D₈	C₂³×C₁₃	1	2	yes	—
885	#131	—	2	4	no	—
886	#131	—	2	4	no	—
887	C₂×M₁₆	C₂³×C₁₃	1	2	yes	—
888	C₂×M₁₆	C₂³×C₁₃	1	2	yes	—
889	C₂×M₁₆	C₂³×C₁₃	1	1	yes	characteristic
890	C₂×M₁₆	C₂³×C₁₃	1	1	yes	characteristic
891	C₂²×C₈	C₂³×C₁₃	1	1	yes	characteristic
892	C₂²×C₈	C₂³×C₁₃	1	2	yes	—
893	C₂²×C₈	C₂³×C₁₃	1	1	yes	characteristic
894	C₂²×C₈	C₂³×C₁₃	1	2	yes	—
895	C₄⋊Q₈	—	2	1	no	—
896	C₄⋊Q₈	—	2	2	no	—
897	C₄⋊Q₈	D₄×C₁₃	1	1	yes	characteristic
898	C₄⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
899	#127	—	2	1	no	—
900	#127	—	2	2	no	—
901	#127	D₄×C₁₃	1	1	yes	characteristic
902	#127	C₂³×C₁₃	1	1	yes	characteristic
903	#124	—	2	1	no	—
904	#124	—	2	1	no	—
905	#124	—	2	2	no	—
906	#124	—	2	2	no	—
907	#124	—	2	2	no	—
908	#124	—	2	2	no	—
909	#124	—	2	1	no	—
910	#124	—	2	1	no	—
911	#124	D₄×C₁₃	1	1	yes	characteristic
912	#124	D₄×C₁₃	1	1	yes	characteristic
913	#124	C₂³×C₁₃	1	2	yes	—
914	#124	C₂³×C₁₃	1	2	yes	—
915	#124	C₂³×C₁₃	1	1	yes	characteristic
916	#124	C₂³×C₁₃	1	1	yes	characteristic
917	#123	—	2	2	no	—
918	#123	—	2	2	no	—
919	#123	—	2	2	no	—
920	C₂²⋊Q₈	—	2	1	no	—
921	C₂²⋊Q₈	—	2	1	no	—
922	C₂²⋊Q₈	—	2	2	no	—
923	C₂²⋊Q₈	—	2	2	no	—
924	C₂²⋊Q₈	—	2	2	no	—
925	C₂²⋊Q₈	—	2	2	no	—
926	C₂²⋊Q₈	—	2	2	no	—
927	C₂²⋊Q₈	—	2	2	no	—
928	C₂²⋊Q₈	C₂³×C₁₃	1	2	yes	—
929	C₂²⋊Q₈	C₂³×C₁₃	1	2	yes	—
930	C₂²⋊Q₈	C₂³×C₁₃	1	2	yes	—
931	C₂²⋊Q₈	C₂³×C₁₃	1	2	yes	—
932	#121	—	2	2	no	—
933	#121	—	2	2	no	—
934	#121	—	2	2	no	—
935	#121	—	2	2	no	—
936	#121	—	2	2	no	—
937	#121	—	2	2	no	—
938	#121	—	2	1	no	—
939	#121	—	2	1	no	—
940	#121	—	2	1	no	—
941	#121	—	2	1	no	—
942	#121	—	2	2	no	—
943	#121	—	2	2	no	—
944	#121	—	2	2	no	—
945	#121	—	2	2	no	—
946	#121	D₄×C₁₃	1	2	yes	—
947	#121	D₄×C₁₃	1	2	yes	—
948	#121	C₂³×C₁₃	1	2	yes	—
949	#121	C₂³×C₁₃	1	2	yes	—
950	#121	C₂³×C₁₃	1	2	yes	—
951	#121	C₂³×C₁₃	1	2	yes	—
952	#120	—	2	2	no	—
953	#120	—	2	2	no	—
954	#120	—	2	2	no	—
955	C₄×Q₈	—	2	1	no	—
956	C₄×Q₈	—	2	1	no	—
957	C₄×Q₈	C₂³×C₁₃	1	2	yes	—
958	C₄×Q₈	C₂³×C₁₃	1	2	yes	—
959	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
960	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
961	C₄×D₄	—	2	2	no	—
962	C₄×D₄	—	2	1	no	—
963	C₄×D₄	—	2	1	no	—
964	C₄×D₄	—	2	2	no	—
965	C₄×D₄	—	2	2	no	—
966	C₄×D₄	—	2	2	no	—
967	C₄×D₄	—	2	2	no	—
968	C₄×D₄	—	2	2	no	—
969	C₄×D₄	—	2	1	no	—
970	C₄×D₄	—	2	1	no	—
971	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
972	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
973	C₄×D₄	C₂³×C₁₃	1	2	yes	—
974	C₄×D₄	C₂³×C₁₃	1	2	yes	—
975	#117	—	2	1	no	—
976	#117	C₂³×C₁₃	1	1	yes	characteristic
977	C₂×C₄⋊C₄	—	2	1	no	—
978	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
979	C₂×C₂²⋊C₄	—	2	1	no	—
980	C₂×C₂²⋊C₄	—	2	1	no	—
981	C₂×C₂²⋊C₄	—	2	2	no	—
982	C₂×C₂²⋊C₄	—	2	2	no	—
983	C₂×C₄²	—	2	1	no	—
984	C₂×C₄²	—	2	1	no	—
985	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
986	#107	C₂³×C₁₃	1	2	yes	—
987	#106	C₂³×C₁₃	1	2	yes	—
988	C₄⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
989	C₄⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
990	C₄⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
991	C₄⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
992	#103	C₂³×C₁₃	1	2	yes	—
993	#103	C₂³×C₁₃	1	2	yes	—
994	#103	C₂³×C₁₃	1	1	yes	characteristic
995	#103	C₂³×C₁₃	1	1	yes	characteristic
996	#103	C₂³×C₁₃	1	1	yes	characteristic
997	#103	C₂³×C₁₃	1	1	yes	characteristic
998	#103	C₂³×C₁₃	1	2	yes	—
999	#103	C₂³×C₁₃	1	2	yes	—
1000	#103	C₂³×C₁₃	1	2	yes	—
1001	#102	C₂³×C₁₃	1	2	yes	—
1002	#102	C₂³×C₁₃	1	2	yes	—
1003	#102	C₂³×C₁₃	1	1	yes	characteristic
1004	#102	C₂³×C₁₃	1	1	yes	characteristic
1005	#102	C₂³×C₁₃	1	1	yes	characteristic
1006	#102	C₂³×C₁₃	1	1	yes	characteristic
1007	#102	C₂³×C₁₃	1	2	yes	—
1008	C₂²⋊C₈	C₂³×C₁₃	1	2	yes	—
1009	C₂²⋊C₈	C₂³×C₁₃	1	2	yes	—
1010	C₂²⋊C₈	C₂³×C₁₃	1	2	yes	—
1011	C₂²⋊C₈	C₂³×C₁₃	1	2	yes	—
1012	#97	C₂³×C₁₃	1	2	yes	—
1013	C₄×C₈	C₂³×C₁₃	1	2	yes	—
1014	C₂×C₁₃	—	2	2	no	—
1015	C₂×C₁₃	—	4	2	no	—
1016	C₂×C₁₃	—	4	2	no	—
1017	C₂×C₁₃	—	4	2	no	—
1018	C₂×C₁₃	—	8	1	no	—
1019	C₂×C₁₃	—	8	1	no	—
1020	C₂×C₁₃	—	8	2	no	—
1021	C₂×C₁₃	C₂×D₄²	1	1	yes	characteristic
1022	C₂×C₁₃	#3584	1	1	yes	characteristic
1023	C₂×C₁₃	#3586	1	1	yes	characteristic
1024	C₂⁴	—	2	2	no	—
1025	C₂⁴	—	2	1	no	—
1026	#41	—	2	2	no	—
1027	#41	—	2	2	no	—
1028	#41	—	2	2	no	—
1029	#41	—	2	2	no	—
1030	#41	—	2	2	no	—
1031	#41	—	2	4	no	—
1032	#41	—	2	4	no	—
1033	#41	—	2	4	no	—
1034	#41	—	2	4	no	—
1035	#41	—	2	2	no	—
1036	#41	—	2	2	no	—
1037	#41	—	2	2	no	—
1038	#41	—	2	2	no	—
1039	#41	—	4	2	no	—
1040	#41	—	4	2	no	—
1041	#41	—	4	2	no	—
1042	#41	—	4	2	no	—
1043	#41	—	4	8	no	—
1044	#41	—	4	8	no	—
1045	#41	—	4	4	no	—
1046	#41	—	4	4	no	—
1047	#41	—	4	8	no	—
1048	#41	—	4	4	no	—
1049	#41	—	4	4	no	—
1050	#41	C₂×D₄×C₁₃	1	4	yes	—
1051	C₂×Q₈	—	2	1	no	—
1052	C₂×Q₈	—	2	2	no	—
1053	C₂×Q₈	—	2	2	no	—
1054	C₂×Q₈	—	2	2	no	—
1055	C₂×Q₈	—	2	1	no	—
1056	C₂×Q₈	—	2	2	no	—
1057	C₂×Q₈	—	2	4	no	—
1058	C₂×Q₈	—	2	4	no	—
1059	C₂×Q₈	—	2	4	no	—
1060	C₂×Q₈	—	2	2	no	—
1061	C₂×Q₈	—	2	2	no	—
1062	C₂×Q₈	—	4	2	no	—
1063	C₂×Q₈	—	4	2	no	—
1064	C₂×Q₈	—	4	2	no	—
1065	C₂×Q₈	—	4	4	no	—
1066	C₂×Q₈	—	4	4	no	—
1067	C₂×Q₈	—	4	4	no	—
1068	C₂×Q₈	C₂×D₄×C₁₃	1	4	yes	—
1069	C₂×Q₈	C₂×D₄×C₁₃	1	1	yes	characteristic
1070	C₂×Q₈	C₂×D₄×C₁₃	1	1	yes	characteristic
1071	C₂×Q₈	C₂⁴×C₁₃	1	2	yes	—
1072	C₂×Q₈	C₂⁴×C₁₃	1	1	yes	characteristic
1073	C₂×Q₈	C₂⁴×C₁₃	1	1	yes	characteristic
1074	C₂×Q₈	C₂⁴×C₁₃	1	2	yes	—
1075	C₂×Q₈	C₂⁴×C₁₃	1	1	yes	characteristic
1076	C₂×D₄	—	2	1	no	—
1077	C₂×D₄	—	2	4	no	—
1078	C₂×D₄	—	2	2	no	—
1079	C₂×D₄	—	2	1	no	—
1080	C₂×D₄	—	2	1	no	—
1081	C₂×D₄	—	2	2	no	—
1082	C₂×D₄	—	2	2	no	—
1083	C₂×D₄	—	2	2	no	—
1084	C₂×D₄	—	2	2	no	—
1085	C₂×D₄	—	2	2	no	—
1086	C₂×D₄	—	2	2	no	—
1087	C₂×D₄	—	2	2	no	—
1088	C₂×D₄	—	2	2	no	—
1089	C₂×D₄	—	2	1	no	—
1090	C₂×D₄	—	2	2	no	—
1091	C₂×D₄	—	2	1	no	—
1092	C₂×D₄	—	2	1	no	—
1093	C₂×D₄	—	2	2	no	—
1094	C₂×D₄	—	4	2	no	—
1095	C₂×D₄	—	4	4	no	—
1096	C₂×D₄	—	4	8	no	—
1097	C₂×D₄	C₂×D₄×C₁₃	1	2	yes	—
1098	C₂×D₄	C₂×D₄×C₁₃	1	2	yes	—
1099	C₂×D₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1100	C₂×D₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1101	C₂×D₄	C₂×D₄×C₁₃	1	2	yes	—
1102	C₂×D₄	C₂×D₄×C₁₃	1	2	yes	—
1103	C₂×D₄	C₂⁴×C₁₃	1	2	yes	—
1104	C₂×D₄	C₂⁴×C₁₃	1	1	yes	characteristic
1105	C₂×D₄	C₂⁴×C₁₃	1	1	yes	characteristic
1106	C₂×D₄	C₂⁴×C₁₃	1	1	yes	characteristic
1107	C₂²×C₄	—	2	1	no	—
1108	C₂²×C₄	—	2	1	no	—
1109	C₂²×C₄	—	2	1	no	—
1110	C₂²×C₄	—	2	2	no	—
1111	C₂²×C₄	—	2	2	no	—
1112	C₂²×C₄	—	2	2	no	—
1113	C₂²×C₄	—	2	1	no	—
1114	C₂²×C₄	—	2	2	no	—
1115	C₂²×C₄	—	2	2	no	—
1116	C₂²×C₄	—	2	2	no	—
1117	C₂²×C₄	—	2	1	no	—
1118	C₂²×C₄	—	2	1	no	—
1119	C₂²×C₄	—	2	2	no	—
1120	C₂²×C₄	—	2	1	no	—
1121	C₂²×C₄	—	2	1	no	—
1122	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1123	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1124	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
1125	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
1126	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1127	Q₁₆	—	2	4	no	—
1128	Q₁₆	—	2	2	no	—
1129	Q₁₆	—	2	4	no	—
1130	Q₁₆	—	2	2	no	—
1131	Q₁₆	—	2	4	no	—
1132	Q₁₆	—	4	2	no	—
1133	Q₁₆	C₂×D₄×C₁₃	1	8	yes	—
1134	SD₁₆	—	2	4	no	—
1135	SD₁₆	—	2	4	no	—
1136	SD₁₆	—	2	2	no	—
1137	SD₁₆	—	2	2	no	—
1138	SD₁₆	—	2	2	no	—
1139	SD₁₆	—	2	2	no	—
1140	SD₁₆	—	2	4	no	—
1141	SD₁₆	—	2	4	no	—
1142	SD₁₆	—	4	2	no	—
1143	SD₁₆	—	4	2	no	—
1144	SD₁₆	C₂×D₄×C₁₃	1	8	yes	—
1145	D₈	—	2	2	no	—
1146	D₈	—	2	2	no	—
1147	D₈	—	2	4	no	—
1148	D₈	—	4	2	no	—
1149	M₁₆	—	2	2	no	—
1150	M₁₆	—	2	4	no	—
1151	M₁₆	—	2	4	no	—
1152	M₁₆	C₂×D₄×C₁₃	1	4	yes	—
1153	C₂×C₈	—	2	2	no	—
1154	C₂×C₈	—	2	2	no	—
1155	C₂×C₈	—	2	4	no	—
1156	C₂×C₈	—	2	4	no	—
1157	C₂×C₈	C₂⁴×C₁₃	1	2	yes	—
1158	C₂×C₈	C₂⁴×C₁₃	1	1	yes	characteristic
1159	C₂×C₈	C₂⁴×C₁₃	1	1	yes	characteristic
1160	C₂×C₈	C₂⁴×C₁₃	1	1	yes	characteristic
1161	C₂×C₈	C₂⁴×C₁₃	1	1	yes	characteristic
1162	C₂×C₈	C₂⁴×C₁₃	1	2	yes	—
1163	C₄⋊C₄	—	2	2	no	—
1164	C₄⋊C₄	—	2	2	no	—
1165	C₄⋊C₄	—	2	1	no	—
1166	C₄⋊C₄	—	2	1	no	—
1167	C₄⋊C₄	—	2	1	no	—
1168	C₄⋊C₄	—	2	1	no	—
1169	C₄⋊C₄	—	2	1	no	—
1170	C₄⋊C₄	—	2	2	no	—
1171	C₄⋊C₄	—	2	2	no	—
1172	C₄⋊C₄	—	2	2	no	—
1173	C₄⋊C₄	—	2	2	no	—
1174	C₄⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
1175	C₄⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
1176	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
1177	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1178	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1179	C₂²⋊C₄	—	2	2	no	—
1180	C₂²⋊C₄	—	2	2	no	—
1181	C₂²⋊C₄	—	2	1	no	—
1182	C₂²⋊C₄	—	2	2	no	—
1183	C₂²⋊C₄	—	2	2	no	—
1184	C₂²⋊C₄	—	2	2	no	—
1185	C₂²⋊C₄	—	2	2	no	—
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	1	no	—
1191	C₂²⋊C₄	—	2	1	no	—
1192	C₂²⋊C₄	—	2	1	no	—
1193	C₂²⋊C₄	—	2	1	no	—
1194	C₂²⋊C₄	—	2	1	no	—
1195	C₂²⋊C₄	—	2	1	no	—
1196	C₂²⋊C₄	—	2	2	no	—
1197	C₂²⋊C₄	—	2	2	no	—
1198	C₂²⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
1199	C₂²⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
1200	C₂²⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
1201	C₂²⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
1202	C₄²	—	2	1	no	—
1203	C₄²	—	2	1	no	—
1204	C₄²	—	2	1	no	—
1205	C₄²	—	2	2	no	—
1206	C₄²	—	2	2	no	—
1207	C₄²	C₂×D₄×C₁₃	1	1	yes	characteristic
1208	C₄²	C₂×D₄×C₁₃	1	1	yes	characteristic
1209	C₄²	C₂⁴×C₁₃	1	1	yes	characteristic
1210	C₄²	C₂⁴×C₁₃	1	1	yes	characteristic
1211	C₁₃	#61096	1	1	yes	characteristic, direct product factor, Sylow
1212	C₂³	—	2	1	no	—
1213	C₂³	—	2	2	no	—
1214	C₂³	—	2	1	no	—
1215	C₂³	—	2	1	no	—
1216	C₂³	—	4	4	no	—
1217	C₂³	—	4	2	no	—
1218	C₂³	—	8	1	no	—
1219	C₂³	—	8	1	no	—
1220	C₂³	—	8	2	no	—
1221	C₂³	—	8	2	no	—
1222	C₂³	C₂²×D₄×C₁₃	1	2	yes	—
1223	C₂³	C₂²×D₄×C₁₃	1	2	yes	—
1224	C₂³	C₂²×D₄×C₁₃	1	1	yes	characteristic
1225	Q₈	—	2	4	no	—
1226	Q₈	—	2	2	no	—
1227	Q₈	—	2	2	no	—
1228	Q₈	—	2	2	no	—
1229	Q₈	—	2	1	no	—
1230	Q₈	—	2	1	no	—
1231	Q₈	—	2	1	no	—
1232	Q₈	—	2	2	no	—
1233	Q₈	—	2	1	no	—
1234	Q₈	—	2	2	no	—
1235	Q₈	—	2	1	no	—
1236	Q₈	—	4	4	no	—
1237	Q₈	—	4	4	no	—
1238	Q₈	—	4	4	no	—
1239	Q₈	—	4	2	no	—
1240	Q₈	C₂²×D₄×C₁₃	1	4	yes	—
1241	Q₈	C₂²×D₄×C₁₃	1	2	yes	—
1242	D₄	—	2	4	no	—
1243	D₄	—	2	4	no	—
1244	D₄	—	2	4	no	—
1245	D₄	—	2	2	no	—
1246	D₄	—	2	2	no	—
1247	D₄	—	2	1	no	—
1248	D₄	—	2	2	no	—
1249	D₄	—	2	1	no	—
1250	D₄	—	2	1	no	—
1251	D₄	—	2	1	no	—
1252	D₄	—	2	2	no	—
1253	D₄	—	2	1	no	—
1254	D₄	—	4	2	no	—
1255	D₄	—	4	2	no	—
1256	D₄	—	4	4	no	—
1257	D₄	—	4	4	no	—
1258	D₄	—	4	4	no	—
1259	D₄	—	4	4	no	—
1260	D₄	—	4	2	no	—
1261	D₄	—	4	4	no	—
1262	D₄	—	4	2	no	—
1263	D₄	—	4	2	no	—
1264	D₄	—	4	2	no	—
1265	D₄	—	8	1	no	—
1266	D₄	—	8	2	no	—
1267	D₄	—	8	2	no	—
1268	D₄	—	8	2	no	—
1269	D₄	—	8	2	no	—
1270	D₄	C₂²×D₄×C₁₃	1	2	yes	—
1271	C₂×C₄	—	2	4	no	—
1272	C₂×C₄	—	2	1	no	—
1273	C₂×C₄	—	2	2	no	—
1274	C₂×C₄	—	2	4	no	—
1275	C₂×C₄	—	2	2	no	—
1276	C₂×C₄	—	2	2	no	—
1277	C₂×C₄	—	2	2	no	—
1278	C₂×C₄	—	2	2	no	—
1279	C₂×C₄	—	2	1	no	—
1280	C₂×C₄	—	2	1	no	—
1281	C₂×C₄	—	2	2	no	—
1282	C₂×C₄	—	2	2	no	—
1283	C₂×C₄	—	2	1	no	—
1284	C₂×C₄	—	2	1	no	—
1285	C₂×C₄	—	4	1	no	—
1286	C₂×C₄	—	4	1	no	—
1287	C₂×C₄	—	4	4	no	—
1288	C₂×C₄	—	4	4	no	—
1289	C₂×C₄	—	4	4	no	—
1290	C₂×C₄	—	4	4	no	—
1291	C₂×C₄	—	4	4	no	—
1292	C₂×C₄	—	4	4	no	—
1293	C₂×C₄	—	4	4	no	—
1294	C₂×C₄	—	4	2	no	—
1295	C₂×C₄	—	4	2	no	—
1296	C₂×C₄	—	4	2	no	—
1297	C₂×C₄	—	8	1	no	—
1298	C₂×C₄	—	8	1	no	—
1299	C₂×C₄	—	8	1	no	—
1300	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1301	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1302	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1303	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1304	C₂×C₄	C₂²×D₄×C₁₃	1	2	yes	—
1305	C₂×C₄	C₂²×D₄×C₁₃	1	2	yes	—
1306	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1307	C₂×C₄	C₂²×D₄×C₁₃	1	2	yes	—
1308	C₂×C₄	C₁₃×H(5,𝔽₂)	1	2	yes	—
1309	C₂×C₄	C₂⁵×C₁₃	1	1	yes	characteristic
1310	C₈	—	2	1	no	—
1311	C₈	—	2	1	no	—
1312	C₈	—	2	1	no	—
1313	C₈	—	2	1	no	—
1314	C₈	—	2	2	no	—
1315	C₈	C₂²×D₄×C₁₃	1	4	yes	—
1316	C₂²	—	2	1	no	—
1317	C₂²	—	2	1	no	—
1318	C₂²	—	2	2	no	—
1319	C₂²	—	2	2	no	—
1320	C₂²	—	2	2	no	—
1321	C₂²	—	2	2	no	—
1322	C₂²	—	2	2	no	—
1323	C₂²	—	2	2	no	—
1324	C₂²	—	2	2	no	—
1325	C₂²	—	4	1	no	—
1326	C₂²	—	4	1	no	—
1327	C₂²	—	4	1	no	—
1328	C₂²	—	4	1	no	—
1329	C₂²	—	4	2	no	—
1330	C₂²	—	4	1	no	—
1331	C₂²	—	4	1	no	—
1332	C₂²	—	4	2	no	—
1333	C₂²	—	4	1	no	—
1334	C₂²	—	4	1	no	—
1335	C₂²	—	4	2	no	—
1336	C₂²	—	16	2	no	—
1337	C₂²	—	16	4	no	—
1338	C₂²	D₄²×C₁₃	1	2	yes	—
1339	C₂²	C₂³×D₄×C₁₃	1	1	yes	characteristic
1340	C₄	—	2	1	no	—
1341	C₄	—	2	1	no	—
1342	C₄	—	2	1	no	—
1343	C₄	—	2	1	no	—
1344	C₄	—	2	2	no	—
1345	C₄	—	2	4	no	—
1346	C₄	—	2	2	no	—
1347	C₄	—	2	2	no	—
1348	C₄	—	4	1	no	—
1349	C₄	—	4	2	no	—
1350	C₄	—	4	1	no	—
1351	C₄	—	4	2	no	—
1352	C₄	—	4	1	no	—
1353	C₄	—	4	1	no	—
1354	C₄	D₄²×C₁₃	1	2	yes	—
1355	C₄	C₂³×D₄×C₁₃	1	1	yes	characteristic
1356	C₄	C₂×C₁₃×H(5,𝔽₂)	1	1	yes	characteristic
1357	C₂	—	2	2	no	—
1358	C₂	—	4	2	no	—
1359	C₂	—	4	2	no	—
1360	C₂	—	4	2	no	—
1361	C₂	—	8	2	no	—
1362	C₂	—	8	1	no	—
1363	C₂	—	8	1	no	—
1364	C₂	C₂×D₄²×C₁₃	1	1	yes	characteristic
1365	C₂	C₁₃×#3584	1	1	yes	characteristic
1366	C₂	C₁₃×#3586	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂²×C₁₃	C₂³×D₄
commutator, Frattini, cosocle	C₂×C₄	C₂⁵×C₁₃
LCS	G ▷ C₂×C₄ ▷ C₂ ▷ C₁
UCS	C₁ ◁ C₂²×C₁₃ ◁ C₁₃×#532 ◁ G

Complements

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

N	H ≅ G/N	type
1. C₂×C₁₃×#578	C₂	semidirect
2. C₂×C₁₃×#577	C₂	semidirect
3. C₁₃×#3500	C₂	semidirect
4. C₁₃×#3497	C₂	semidirect
5. C₁₃×#3285	C₂	semidirect
6. C₁₃×#3282	C₂	semidirect
7. C₁₃×#3277	C₂	semidirect
8. C₁₃×#3275	C₂	semidirect
9. C₁₃×#3271	C₂	semidirect
10. C₁₃×#3270	C₂	semidirect
11. C₁₃×#3268	C₂	semidirect
12. C₁₃×#3266	C₂	semidirect
13. C₁₃×#3153	C₂	semidirect
14. C₁₃×#3063	C₂	semidirect
15. C₁₃×#3062	C₂	semidirect
16. C₁₃×#3035	C₂	semidirect
17. C₂×C₁₃×#464	C₂	semidirect
18. C₁₃×#3013	C₂	semidirect
19. C₁₃×#3012	C₂	semidirect
20. C₁₃×#3011	C₂	semidirect
21. C₁₃×#3010	C₂	semidirect
22. C₄×C₁₃×#137	C₂	semidirect
23. C₁₃×#2935	C₂	semidirect
26. C₂×C₁₃×2₋¹⁺⁴	C₂²	semidirect
32. C₂×C₁₃×#137	C₂²	semidirect
33. C₂×C₁₃×#137	C₂²	semidirect
34. C₂×C₁₃×#137	C₂²	semidirect
35. C₂×C₁₃×#137	C₂²	semidirect
42. C₂×C₁₃×#135	C₂²	semidirect
43. C₂²×C₁₃×Q₁₆	C₂²	semidirect
44. C₂²×C₁₃×Q₁₆	C₂²	semidirect
48. C₂×C₁₃×#131	C₂²	semidirect
50. C₁₃×#550	C₂²	semidirect
52. D₄×Q₈×C₁₃	C₂²	semidirect
57. C₁₃×#548	C₂²	semidirect
58. C₁₃×#548	C₂²	semidirect
65. C₁₃×#537	C₂²	semidirect
73. C₁₃×#532	C₂²	semidirect
77. C₂×C₄×Q₈×C₁₃	C₂²	semidirect
78. C₁₃×#497	C₂²	semidirect
79. C₁₃×#496	C₂²	semidirect
80. C₁₃×#495	C₂²	semidirect
81. C₁₃×#495	C₂²	semidirect
82. C₁₃×#470	C₂²	semidirect
83. C₁₃×#469	C₂²	semidirect
84. C₁₃×#468	C₂²	semidirect
85. C₁₃×#468	C₂²	semidirect
86. C₁₃×#467	C₂²	semidirect
87. C₁₃×#466	C₂²	semidirect
88. C₁₃×#465	C₂²	semidirect
89. C₁₃×#465	C₂²	semidirect
90. C₁₃×#464	C₂²	semidirect
91. C₁₃×#464	C₂²	semidirect
92. C₁₃×#464	C₂²	semidirect
93. C₁₃×#464	C₂²	semidirect
94. C₁₃×#464	C₂²	semidirect
95. C₁₃×#464	C₂²	semidirect
96. C₁₃×#463	C₂²	semidirect
97. C₁₃×#463	C₂²	semidirect
98. C₁₃×#462	C₂²	semidirect
99. C₁₃×#461	C₂²	semidirect
100. C₁₃×#460	C₂²	semidirect
101. C₁₃×#459	C₂²	semidirect
103. C₁₃×#452	C₂²	semidirect
104. C₁₃×#452	C₂²	semidirect
105. C₁₃×#452	C₂²	semidirect
106. C₁₃×#451	C₂²	semidirect
107. C₁₃×#451	C₂²	semidirect
108. C₁₃×#451	C₂²	semidirect
111. C₁₃×#449	C₂²	semidirect
112. C₁₃×#449	C₂²	semidirect
113. C₁₃×#449	C₂²	semidirect
114. C₁₃×#448	C₂²	semidirect
115. C₁₃×#448	C₂²	semidirect
116. C₁₃×#448	C₂²	semidirect
118. C₁₃×#441	C₂²	semidirect
119. C₁₃×#440	C₂²	semidirect
120. C₄×C₁₃×Q₁₆	C₂²	semidirect
121. C₄×C₁₃×SD₁₆	C₂²	semidirect
122. C₁₃×#436	C₂²	semidirect
123. C₁₃×#435	C₂²	semidirect
124. C₁₃×#435	C₂²	semidirect
125. C₈×D₄×C₁₃	C₂²	semidirect
126. C₁₃×#428	C₂²	semidirect
127. C₂×C₁₃×C₄⋊C₈	C₂²	semidirect
128. C₁₃×#419	C₂²	semidirect
130. C₁₃×#416	C₂²	semidirect
131. C₁₃×#416	C₂²	semidirect
132. C₂×C₁₃×#103	C₂²	semidirect
135. C₁₃×#408	C₂²	semidirect
136. C₄×C₁₃×M₁₆	C₂²	semidirect
178. C₁₃×#137	D₄	semidirect
341. #61096	C₁₃	direct (N × H)
529. C₂×#578	C₂×C₁₃	semidirect
530. C₂×#577	C₂×C₁₃	semidirect
531. #3500	C₂×C₁₃	semidirect
532. #3497	C₂×C₁₃	semidirect
533. #3285	C₂×C₁₃	semidirect
534. #3282	C₂×C₁₃	semidirect
535. #3277	C₂×C₁₃	semidirect
536. #3275	C₂×C₁₃	semidirect
537. #3271	C₂×C₁₃	semidirect
538. #3270	C₂×C₁₃	semidirect
539. #3268	C₂×C₁₃	semidirect
540. #3266	C₂×C₁₃	semidirect
541. #3153	C₂×C₁₃	semidirect
542. #3063	C₂×C₁₃	semidirect
543. #3062	C₂×C₁₃	semidirect
544. #3035	C₂×C₁₃	semidirect
545. C₂×#464	C₂×C₁₃	semidirect
546. #3013	C₂×C₁₃	semidirect
547. #3012	C₂×C₁₃	semidirect
548. #3011	C₂×C₁₃	semidirect
549. #3010	C₂×C₁₃	semidirect
550. C₄×#137	C₂×C₁₃	semidirect
551. #2935	C₂×C₁₃	semidirect
658. C₂×2₋¹⁺⁴	C₂²×C₁₃	semidirect
664. C₂×#137	C₂²×C₁₃	semidirect
665. C₂×#137	C₂²×C₁₃	semidirect
666. C₂×#137	C₂²×C₁₃	semidirect
667. C₂×#137	C₂²×C₁₃	semidirect
674. C₂×#135	C₂²×C₁₃	semidirect
675. C₂²×Q₁₆	C₂²×C₁₃	semidirect
676. C₂²×Q₁₆	C₂²×C₁₃	semidirect
680. C₂×#131	C₂²×C₁₃	semidirect
682. #550	C₂²×C₁₃	semidirect
684. D₄×Q₈	C₂²×C₁₃	semidirect
689. #548	C₂²×C₁₃	semidirect
690. #548	C₂²×C₁₃	semidirect
697. #537	C₂²×C₁₃	semidirect
705. #532	C₂²×C₁₃	semidirect
709. C₂×C₄×Q₈	C₂²×C₁₃	semidirect
710. #497	C₂²×C₁₃	semidirect
711. #496	C₂²×C₁₃	semidirect
712. #495	C₂²×C₁₃	semidirect
713. #495	C₂²×C₁₃	semidirect
714. #470	C₂²×C₁₃	semidirect
715. #469	C₂²×C₁₃	semidirect
716. #468	C₂²×C₁₃	semidirect
717. #468	C₂²×C₁₃	semidirect
718. #467	C₂²×C₁₃	semidirect
719. #466	C₂²×C₁₃	semidirect
720. #465	C₂²×C₁₃	semidirect
721. #465	C₂²×C₁₃	semidirect
722. #464	C₂²×C₁₃	semidirect
723. #464	C₂²×C₁₃	semidirect
724. #464	C₂²×C₁₃	semidirect
725. #464	C₂²×C₁₃	semidirect
726. #464	C₂²×C₁₃	semidirect
727. #464	C₂²×C₁₃	semidirect
728. #463	C₂²×C₁₃	semidirect
729. #463	C₂²×C₁₃	semidirect
730. #462	C₂²×C₁₃	semidirect
731. #461	C₂²×C₁₃	semidirect
732. #460	C₂²×C₁₃	semidirect
733. #459	C₂²×C₁₃	semidirect
735. #452	C₂²×C₁₃	semidirect
736. #452	C₂²×C₁₃	semidirect
737. #452	C₂²×C₁₃	semidirect
738. #451	C₂²×C₁₃	semidirect
739. #451	C₂²×C₁₃	semidirect
740. #451	C₂²×C₁₃	semidirect
743. #449	C₂²×C₁₃	semidirect
744. #449	C₂²×C₁₃	semidirect
745. #449	C₂²×C₁₃	semidirect
746. #448	C₂²×C₁₃	semidirect
747. #448	C₂²×C₁₃	semidirect
748. #448	C₂²×C₁₃	semidirect
750. #441	C₂²×C₁₃	semidirect
751. #440	C₂²×C₁₃	semidirect
752. C₄×Q₁₆	C₂²×C₁₃	semidirect
753. C₄×SD₁₆	C₂²×C₁₃	semidirect
754. #436	C₂²×C₁₃	semidirect
755. #435	C₂²×C₁₃	semidirect
756. #435	C₂²×C₁₃	semidirect
757. C₈×D₄	C₂²×C₁₃	semidirect
758. #428	C₂²×C₁₃	semidirect
759. C₂×C₄⋊C₈	C₂²×C₁₃	semidirect
760. #419	C₂²×C₁₃	semidirect
762. #416	C₂²×C₁₃	semidirect
763. #416	C₂²×C₁₃	semidirect
764. C₂×#103	C₂²×C₁₃	semidirect
767. #408	C₂²×C₁₃	semidirect
768. C₄×M₁₆	C₂²×C₁₃	semidirect
851. #137	D₄×C₁₃	semidirect
1211. C₁₃	#61096	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×#578	2
C₂×C₁₃×#577	2
C₁₃×#3500	2
C₁₃×#3497	2
C₁₃×#3285	2
C₁₃×#3282	2
C₁₃×#3277	2
C₁₃×#3275	2
C₁₃×#3271	2
C₁₃×#3270	2
C₁₃×#3268	2
C₁₃×#3266	2
C₁₃×#3153	2
C₁₃×#3063	2
C₁₃×#3062	2
C₁₃×#3035	2
C₂×C₁₃×#464	2
C₁₃×#3013	2
C₁₃×#3012	2
C₁₃×#3011	2
C₁₃×#3010	2
C₄×C₁₃×#137	2
C₁₃×#2935	2
#61096	13

Subgroups — C13×#61096 #15747435

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₃×#61096 #15747435