Subgroups — C₁₃×#61068 #15747407

Order 3328.

2772 conjugacy classes of subgroups.

The subgroup lattice has 1580 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×C₁₃×#575	C₂	1	1	yes	maximal, characteristic, complemented
2	C₂²×C₁₃×#137	C₂	1	1	yes	maximal, characteristic, complemented
3	D₄×C₁₃×#41	C₂	1	1	yes	maximal, characteristic, complemented
4	C₂×C₁₃×#548	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×#3269	C₂	1	2	yes	maximal, complemented
12	C₁₃×#3265	C₂	1	2	yes	maximal, complemented
13	C₁₃×#3153	C₂	1	1	yes	maximal, characteristic, complemented
14	C₁₃×#3056	C₂	1	1	yes	maximal, characteristic, complemented
15	C₁₃×#3055	C₂	1	1	yes	maximal, characteristic, complemented
16	C₁₃×#3040	C₂	1	1	yes	maximal, characteristic, complemented
17	C₁₃×#3037	C₂	1	1	yes	maximal, characteristic, complemented
18	C₁₃×#3007	C₂	1	1	yes	maximal, characteristic, complemented
19	C₁₃×#3006	C₂	1	1	yes	maximal, characteristic, complemented
20	C₁₃×#3005	C₂	1	1	yes	maximal, characteristic, complemented
21	C₁₃×#3004	C₂	1	1	yes	maximal, characteristic, complemented
22	C₄×C₁₃×#137	C₂	1	1	yes	maximal, characteristic, complemented
23	D₄×C₁₃×M₁₆	C₂	1	1	yes	maximal, characteristic, complemented
24	C₂²×C₁₃×#41	C₂²	1	1	yes	characteristic
25	C₂²×C₁₃×#41	C₂²	1	1	yes	characteristic
26	C₂²×C₁₃×#41	C₂²	1	1	yes	characteristic, complemented
27	C₂³×Q₈×C₁₃	C₂²	1	1	yes	characteristic, complemented
28	C₁₃×#575	—	2	8	no	—
29	C₂×C₁₃×#137	—	2	8	no	—
30	C₂×C₁₃×#137	C₂²	1	1	yes	characteristic
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	2	yes	complemented
35	C₂×C₁₃×#137	C₂²	1	1	yes	characteristic, complemented
36	C₂×C₁₃×#137	C₂²	1	1	yes	characteristic, complemented
37	C₂×C₁₃×#137	C₂²	1	1	yes	characteristic, complemented
38	C₂×C₁₃×#137	C₂²	1	1	yes	characteristic, complemented
39	C₂×C₁₃×AGL(1,ℤ/8)	C₂²	1	1	yes	characteristic
40	C₂×C₁₃×AGL(1,ℤ/8)	C₂²	1	2	yes	complemented
41	C₂×C₁₃×AGL(1,ℤ/8)	C₂²	1	1	yes	characteristic, complemented
42	C₂×C₁₃×AGL(1,ℤ/8)	C₂²	1	1	yes	characteristic, complemented
43	C₂×C₁₃×#135	C₂²	1	2	yes	complemented
44	C₂×C₁₃×#135	C₂²	1	2	yes	complemented
45	C₂²×C₁₃×Q₁₆	C₂²	1	2	yes	complemented
46	C₂²×C₁₃×SD₁₆	C₂²	1	2	yes	complemented
47	C₂²×C₁₃×M₁₆	C₂²	1	1	yes	characteristic, complemented
48	C₂²×C₁₃×M₁₆	C₂²	1	1	yes	characteristic, complemented
49	C₁₃×#550	C₂²	1	1	yes	characteristic, complemented
50	D₄×Q₈×C₁₃	C₂²	1	1	yes	characteristic, complemented
51	C₁₃×#548	—	2	1	no	—
52	C₁₃×#548	—	2	1	no	—
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	complemented
57	C₁₃×#548	C₂²	1	2	yes	complemented
58	C₁₃×#548	C₂²	1	1	yes	characteristic, complemented
59	C₁₃×#548	C₂²	1	2	yes	complemented
60	C₁₃×#548	C₂²	1	1	yes	characteristic, complemented
61	C₁₃×#547	—	2	1	no	—
62	C₁₃×#547	C₂²	1	1	yes	characteristic, complemented
63	C₁₃×#546	—	2	1	no	—
64	C₁₃×#546	—	2	1	no	—
65	C₁₃×#546	C₂²	1	1	yes	characteristic, complemented
66	C₁₃×#546	C₂²	1	1	yes	characteristic, complemented
67	D₄²×C₁₃	—	2	1	no	—
68	D₄²×C₁₃	C₂²	1	1	yes	characteristic, complemented
69	C₁₃×#532	—	2	1	no	—
70	C₁₃×#532	C₂²	1	1	yes	characteristic
71	C₂×C₁₃×#124	—	2	1	no	—
72	C₂×C₁₃×#124	C₂²	1	1	yes	characteristic, complemented
73	C₁₃×#525	—	2	1	no	—
74	C₁₃×#525	—	2	1	no	—
75	C₁₃×#525	C₂²	1	1	yes	characteristic
76	C₁₃×#525	C₂²	1	1	yes	characteristic
77	C₂×C₁₃×C₂²⋊Q₈	—	2	1	no	—
78	C₂×C₁₃×C₂²⋊Q₈	C₂²	1	1	yes	characteristic, complemented
79	C₂×C₁₃×#121	—	2	1	no	—
80	C₂×C₁₃×#121	C₂²	1	1	yes	characteristic, complemented
81	C₄×C₁₃×#41	C₂²	1	1	yes	characteristic
82	C₂×C₄×Q₈×C₁₃	C₂²	1	1	yes	characteristic, complemented
83	C₂×C₄×D₄×C₁₃	—	2	1	no	—
84	C₂×C₄×D₄×C₁₃	—	2	1	no	—
85	C₂×C₄×D₄×C₁₃	C₂²	1	1	yes	characteristic
86	C₁₃×#497	C₂²	1	2	yes	complemented
87	C₁₃×#496	C₂²	1	2	yes	complemented
88	C₁₃×#495	C₂²	1	2	yes	complemented
89	C₁₃×#495	C₂²	1	2	yes	complemented
90	C₁₃×#470	C₂²	1	2	yes	complemented
91	C₁₃×#469	C₂²	1	2	yes	complemented
92	C₁₃×#468	C₂²	1	2	yes	complemented
93	C₁₃×#468	C₂²	1	2	yes	complemented
94	C₁₃×#467	C₂²	1	2	yes	complemented
95	C₁₃×#466	C₂²	1	2	yes	complemented
96	C₁₃×#465	C₂²	1	2	yes	complemented
97	C₁₃×#465	C₂²	1	2	yes	complemented
98	C₁₃×#464	C₂²	1	2	yes	complemented
99	C₁₃×#464	C₂²	1	2	yes	complemented
100	C₁₃×#464	C₂²	1	2	yes	complemented
101	C₁₃×#464	C₂²	1	2	yes	complemented
102	C₁₃×#463	C₂²	1	2	yes	complemented
103	C₁₃×#463	C₂²	1	2	yes	complemented
104	C₁₃×#462	C₂²	1	2	yes	complemented
105	C₁₃×#460	C₂²	1	2	yes	complemented
106	C₁₃×#452	C₂²	1	2	yes	complemented
107	C₁₃×#452	C₂²	1	2	yes	complemented
108	C₁₃×#452	C₂²	1	2	yes	complemented
109	C₁₃×#452	C₂²	1	2	yes	complemented
110	C₁₃×#451	C₂²	1	2	yes	complemented
111	C₁₃×#451	C₂²	1	2	yes	complemented
112	C₁₃×#451	C₂²	1	2	yes	complemented
113	C₁₃×#450	C₂²	1	2	yes	complemented
114	C₁₃×#449	C₂²	1	2	yes	complemented
115	C₁₃×#449	C₂²	1	2	yes	complemented
116	C₁₃×#449	C₂²	1	2	yes	complemented
117	C₁₃×#449	C₂²	1	2	yes	complemented
118	C₁₃×#448	C₂²	1	2	yes	complemented
119	C₁₃×#448	C₂²	1	2	yes	complemented
120	C₁₃×#448	C₂²	1	2	yes	complemented
121	C₁₃×#447	C₂²	1	2	yes	complemented
122	C₁₃×#441	C₂²	1	2	yes	complemented
123	C₁₃×#440	C₂²	1	2	yes	complemented
124	C₄×C₁₃×Q₁₆	C₂²	1	2	yes	complemented
125	C₄×C₁₃×SD₁₆	C₂²	1	2	yes	complemented
126	C₁₃×#436	C₂²	1	2	yes	complemented
127	C₁₃×#435	C₂²	1	2	yes	complemented
128	C₁₃×#435	C₂²	1	2	yes	complemented
129	C₈×D₄×C₁₃	C₂²	1	2	yes	complemented
130	C₁₃×#428	C₂²	1	1	yes	characteristic, complemented
131	C₁₃×#423	C₂²	1	1	yes	characteristic, complemented
132	C₁₃×#419	C₂²	1	1	yes	characteristic, complemented
133	C₁₃×#419	C₂²	1	1	yes	characteristic, complemented
134	C₁₃×#418	C₂²	1	1	yes	characteristic, complemented
135	C₁₃×#417	C₂²	1	1	yes	characteristic
136	C₁₃×#417	C₂²	1	1	yes	characteristic, complemented
137	C₁₃×#417	C₂²	1	1	yes	characteristic, complemented
138	C₁₃×#407	C₂²	1	1	yes	characteristic, complemented
139	C₁₃×#407	C₂²	1	1	yes	characteristic, complemented
140	C₄×C₁₃×M₁₆	C₂²	1	1	yes	characteristic, complemented
141	C₂×C₁₃×#41	—	2	1	no	—
142	C₂×C₁₃×#41	—	2	1	no	—
143	C₂×C₁₃×#41	—	2	1	no	—
144	C₂×C₁₃×#41	—	2	1	no	—
145	C₂×C₁₃×#41	—	2	1	no	—
146	C₂×C₁₃×#41	—	2	1	no	—
147	C₂×C₁₃×#41	—	2	4	no	—
148	C₂×C₁₃×#41	—	2	4	no	—
149	C₂×C₁₃×#41	—	2	4	no	—
150	C₂×C₁₃×#41	—	4	2	no	—
151	C₂×C₁₃×#41	—	4	2	no	—
152	C₂×C₁₃×#41	—	4	2	no	—
153	C₂×C₁₃×#41	C₂³	1	1	yes	characteristic
154	C₂×C₁₃×#41	C₂³	1	1	yes	characteristic
155	C₂×C₁₃×#41	C₂³	1	1	yes	characteristic
156	C₂×C₁₃×#41	C₂³	1	1	yes	characteristic
157	C₂×C₁₃×#41	C₂³	1	2	yes	—
158	C₂×C₁₃×#41	C₂³	1	2	yes	—
159	C₂×C₁₃×#41	C₂³	1	1	yes	characteristic
160	C₂×C₁₃×#41	C₂³	1	1	yes	characteristic
161	C₂×C₁₃×#41	C₂³	1	1	yes	characteristic
162	C₂²×Q₈×C₁₃	—	2	1	no	—
163	C₂²×Q₈×C₁₃	—	2	1	no	—
164	C₂²×Q₈×C₁₃	—	2	1	no	—
165	C₂²×Q₈×C₁₃	—	2	4	no	—
166	C₂²×Q₈×C₁₃	—	4	2	no	—
167	C₂²×Q₈×C₁₃	C₂³	1	1	yes	characteristic
168	C₂²×Q₈×C₁₃	C₂³	1	1	yes	characteristic
169	C₂²×Q₈×C₁₃	C₂³	1	2	yes	—
170	C₂²×Q₈×C₁₃	C₂³	1	2	yes	—
171	C₂²×Q₈×C₁₃	C₂³	1	1	yes	characteristic
172	C₂²×Q₈×C₁₃	C₂³	1	1	yes	characteristic
173	C₂²×D₄×C₁₃	—	2	1	no	—
174	C₂²×D₄×C₁₃	—	2	1	no	—
175	C₂²×D₄×C₁₃	—	2	1	no	—
176	C₂²×D₄×C₁₃	—	2	1	no	—
177	C₂²×D₄×C₁₃	—	2	1	no	—
178	C₂²×D₄×C₁₃	D₄	1	1	yes	characteristic
179	C₂²×D₄×C₁₃	C₂³	1	1	yes	characteristic
180	C₂²×D₄×C₁₃	C₂³	1	1	yes	characteristic
181	C₂²×D₄×C₁₃	C₂³	1	1	yes	characteristic
182	C₂³×C₄×C₁₃	—	2	1	no	—
183	C₂³×C₄×C₁₃	—	2	1	no	—
184	C₂³×C₄×C₁₃	—	2	1	no	—
185	C₂³×C₄×C₁₃	—	2	1	no	—
186	C₂³×C₄×C₁₃	C₂³	1	1	yes	characteristic
187	C₂³×C₄×C₁₃	C₂³	1	1	yes	characteristic
188	C₁₃×#137	—	2	4	no	—
189	C₁₃×#137	—	2	4	no	—
190	C₁₃×#137	—	2	4	no	—
191	C₁₃×#137	—	2	8	no	—
192	C₁₃×#137	—	2	8	no	—
193	C₁₃×#137	—	2	8	no	—
194	C₁₃×#137	—	2	4	no	—
195	C₁₃×#137	—	4	2	no	—
196	C₁₃×#137	D₄	1	8	yes	complemented
197	C₁₃×AGL(1,ℤ/8)	—	2	4	no	—
198	C₁₃×AGL(1,ℤ/8)	—	2	8	no	—
199	C₁₃×AGL(1,ℤ/8)	—	2	4	no	—
200	C₁₃×AGL(1,ℤ/8)	—	4	2	no	—
201	C₁₃×#135	—	2	8	no	—
202	C₁₃×#135	—	2	8	no	—
203	C₂×C₁₃×Q₁₆	—	2	8	no	—
204	C₂×C₁₃×Q₁₆	C₂³	1	2	yes	—
205	C₂×C₁₃×Q₁₆	C₂³	1	2	yes	—
206	C₂×C₁₃×Q₁₆	C₂³	1	2	yes	—
207	C₂×C₁₃×Q₁₆	C₂³	1	2	yes	—
208	C₂×C₁₃×Q₁₆	C₂³	1	2	yes	—
209	C₂×C₁₃×Q₁₆	C₂³	1	2	yes	—
210	C₂×C₁₃×SD₁₆	—	2	8	no	—
211	C₂×C₁₃×SD₁₆	C₂³	1	2	yes	—
212	C₂×C₁₃×SD₁₆	C₂³	1	2	yes	—
213	C₂×C₁₃×SD₁₆	C₂³	1	2	yes	—
214	C₂×C₁₃×SD₁₆	C₂³	1	2	yes	—
215	C₂×C₁₃×SD₁₆	C₂³	1	2	yes	—
216	C₂×C₁₃×SD₁₆	C₂³	1	2	yes	—
217	C₂×C₁₃×SD₁₆	C₂³	1	2	yes	—
218	C₂×C₁₃×SD₁₆	C₂³	1	2	yes	—
219	C₂×C₁₃×SD₁₆	C₂³	1	2	yes	—
220	C₂×C₁₃×D₈	C₂³	1	2	yes	—
221	C₂×C₁₃×D₈	C₂³	1	2	yes	—
222	C₂×C₁₃×D₈	C₂³	1	2	yes	—
223	C₂×C₁₃×M₁₆	—	2	4	no	—
224	C₂×C₁₃×M₁₆	—	2	4	no	—
225	C₂×C₁₃×M₁₆	C₂³	1	1	yes	characteristic
226	C₂×C₁₃×M₁₆	C₂³	1	1	yes	characteristic
227	C₂×C₁₃×M₁₆	C₂³	1	1	yes	characteristic
228	C₂×C₁₃×M₁₆	C₂³	1	2	yes	—
229	C₂×C₁₃×M₁₆	C₂³	1	2	yes	—
230	C₂×C₁₃×M₁₆	C₂³	1	1	yes	characteristic
231	C₂²×C₈×C₁₃	C₂³	1	2	yes	—
232	C₂²×C₈×C₁₃	C₂³	1	2	yes	—
233	C₁₃×C₄⋊Q₈	—	2	1	no	—
234	C₁₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
235	C₁₃×#127	—	2	1	no	—
236	C₁₃×#127	C₂³	1	1	yes	characteristic
237	C₁₃×#124	—	2	2	no	—
238	C₁₃×#124	—	2	2	no	—
239	C₁₃×#124	—	2	2	no	—
240	C₁₃×#124	—	2	2	no	—
241	C₁₃×#124	—	2	1	no	—
242	C₁₃×#124	—	2	1	no	—
243	C₁₃×#124	—	2	1	no	—
244	C₁₃×#124	—	2	1	no	—
245	C₁₃×#124	C₂³	1	2	yes	—
246	C₁₃×#124	C₂³	1	2	yes	—
247	C₁₃×#124	C₂³	1	1	yes	characteristic
248	C₁₃×#124	C₂³	1	1	yes	characteristic
249	C₁₃×#123	—	2	1	no	—
250	C₁₃×#123	—	2	1	no	—
251	C₁₃×#123	—	2	1	no	—
252	C₁₃×#123	—	2	1	no	—
253	C₁₃×#123	—	2	1	no	—
254	C₁₃×#123	—	2	1	no	—
255	C₁₃×C₂²⋊Q₈	—	2	1	no	—
256	C₁₃×C₂²⋊Q₈	—	2	1	no	—
257	C₁₃×C₂²⋊Q₈	—	2	2	no	—
258	C₁₃×C₂²⋊Q₈	—	2	2	no	—
259	C₁₃×C₂²⋊Q₈	—	2	2	no	—
260	C₁₃×C₂²⋊Q₈	—	2	2	no	—
261	C₁₃×C₂²⋊Q₈	—	2	1	no	—
262	C₁₃×C₂²⋊Q₈	—	2	1	no	—
263	C₁₃×C₂²⋊Q₈	—	2	1	no	—
264	C₁₃×C₂²⋊Q₈	—	2	1	no	—
265	C₁₃×C₂²⋊Q₈	C₂³	1	2	yes	—
266	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
267	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
268	C₁₃×C₂²⋊Q₈	C₂³	1	2	yes	—
269	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
270	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
271	C₁₃×#121	—	2	2	no	—
272	C₁₃×#121	—	2	2	no	—
273	C₁₃×#121	—	2	2	no	—
274	C₁₃×#121	—	2	2	no	—
275	C₁₃×#121	—	2	1	no	—
276	C₁₃×#121	—	2	1	no	—
277	C₁₃×#121	—	2	1	no	—
278	C₁₃×#121	—	2	1	no	—
279	C₁₃×#121	—	2	1	no	—
280	C₁₃×#121	—	2	1	no	—
281	C₁₃×#121	—	2	1	no	—
282	C₁₃×#121	—	2	1	no	—
283	C₁₃×#121	—	2	1	no	—
284	C₁₃×#121	—	2	1	no	—
285	C₁₃×#121	—	2	1	no	—
286	C₁₃×#121	—	2	1	no	—
287	C₁₃×#121	C₂³	1	2	yes	—
288	C₁₃×#121	C₂³	1	1	yes	characteristic
289	C₁₃×#121	C₂³	1	1	yes	characteristic
290	C₁₃×#121	C₂³	1	1	yes	characteristic
291	C₁₃×#121	C₂³	1	1	yes	characteristic
292	C₁₃×#121	C₂³	1	2	yes	—
293	C₁₃×#120	—	2	1	no	—
294	C₁₃×#120	—	2	1	no	—
295	C₁₃×#120	—	2	1	no	—
296	C₁₃×#120	—	2	1	no	—
297	C₁₃×#120	—	2	1	no	—
298	C₁₃×#120	—	2	1	no	—
299	C₄×Q₈×C₁₃	—	2	1	no	—
300	C₄×Q₈×C₁₃	—	2	1	no	—
301	C₄×Q₈×C₁₃	C₂³	1	2	yes	—
302	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
303	C₄×Q₈×C₁₃	C₂³	1	2	yes	—
304	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
305	C₄×D₄×C₁₃	—	2	1	no	—
306	C₄×D₄×C₁₃	—	2	1	no	—
307	C₄×D₄×C₁₃	—	2	1	no	—
308	C₄×D₄×C₁₃	—	2	1	no	—
309	C₄×D₄×C₁₃	—	2	1	no	—
310	C₄×D₄×C₁₃	—	2	1	no	—
311	C₄×D₄×C₁₃	—	2	1	no	—
312	C₄×D₄×C₁₃	—	2	1	no	—
313	C₄×D₄×C₁₃	—	2	1	no	—
314	C₄×D₄×C₁₃	—	2	1	no	—
315	C₄×D₄×C₁₃	—	2	2	no	—
316	C₄×D₄×C₁₃	—	2	2	no	—
317	C₄×D₄×C₁₃	—	2	2	no	—
318	C₄×D₄×C₁₃	—	2	2	no	—
319	C₄×D₄×C₁₃	—	2	1	no	—
320	C₄×D₄×C₁₃	—	2	1	no	—
321	C₄×D₄×C₁₃	D₄	1	1	yes	characteristic
322	C₄×D₄×C₁₃	D₄	1	1	yes	characteristic
323	C₄×D₄×C₁₃	D₄	1	1	yes	characteristic
324	C₄×D₄×C₁₃	D₄	1	1	yes	characteristic
325	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
326	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
327	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
328	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
329	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
330	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
331	C₁₃×#117	—	2	1	no	—
332	C₁₃×#117	C₂³	1	1	yes	characteristic
333	C₂×C₁₃×C₄⋊C₄	—	2	1	no	—
334	C₂×C₁₃×C₄⋊C₄	—	2	1	no	—
335	C₂×C₁₃×C₄⋊C₄	—	2	1	no	—
336	C₂×C₁₃×C₄⋊C₄	D₄	1	1	yes	characteristic
337	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
338	C₂×C₁₃×C₂²⋊C₄	—	2	1	no	—
339	C₂×C₁₃×C₂²⋊C₄	—	2	1	no	—
340	C₂×C₁₃×C₂²⋊C₄	—	2	1	no	—
341	C₂×C₁₃×C₂²⋊C₄	—	2	1	no	—
342	C₂×C₁₃×C₂²⋊C₄	—	2	1	no	—
343	C₂×C₁₃×C₂²⋊C₄	—	2	1	no	—
344	C₂×C₁₃×C₂²⋊C₄	D₄	1	1	yes	characteristic
345	C₂×C₁₃×C₂²⋊C₄	D₄	1	1	yes	characteristic
346	C₂×C₄²×C₁₃	—	2	1	no	—
347	C₂×C₄²×C₁₃	—	2	1	no	—
348	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
349	C₁₃×#107	C₂³	1	2	yes	—
350	C₁₃×#106	C₂³	1	2	yes	—
351	C₁₃×C₄⋊C₈	C₂³	1	2	yes	—
352	C₁₃×C₄⋊C₈	C₂³	1	2	yes	—
353	C₁₃×#103	C₂³	1	2	yes	—
354	C₁₃×#103	C₂³	1	2	yes	—
355	C₁₃×#103	C₂³	1	2	yes	—
356	C₁₃×#103	C₂³	1	2	yes	—
357	C₁₃×#103	C₂³	1	2	yes	—
358	C₁₃×#103	C₂³	1	2	yes	—
359	C₁₃×#103	C₂³	1	2	yes	—
360	C₁₃×#102	C₂³	1	2	yes	—
361	C₁₃×#102	C₂³	1	2	yes	—
362	C₁₃×#102	C₂³	1	2	yes	—
363	C₁₃×#102	C₂³	1	2	yes	—
364	C₁₃×#102	C₂³	1	2	yes	—
365	C₁₃×C₂²⋊C₈	C₂³	1	2	yes	—
366	C₁₃×C₂²⋊C₈	C₂³	1	2	yes	—
367	C₁₃×C₂²⋊C₈	C₂³	1	2	yes	—
368	C₁₃×C₂²⋊C₈	C₂³	1	2	yes	—
369	C₁₃×#97	C₂³	1	2	yes	—
370	C₄×C₈×C₁₃	C₂³	1	2	yes	—
371	#61068	C₁₃	1	1	yes	maximal, characteristic, direct product factor, Sylow
372	C₂⁴×C₁₃	—	2	1	no	—
373	C₂⁴×C₁₃	—	2	1	no	—
374	C₂⁴×C₁₃	—	2	1	no	—
375	C₂⁴×C₁₃	C₂×D₄	1	1	yes	characteristic
376	C₂⁴×C₁₃	C₂×D₄	1	1	yes	characteristic
377	C₁₃×#41	—	2	2	no	—
378	C₁₃×#41	—	2	4	no	—
379	C₁₃×#41	—	2	2	no	—
380	C₁₃×#41	—	2	4	no	—
381	C₁₃×#41	—	2	2	no	—
382	C₁₃×#41	—	2	2	no	—
383	C₁₃×#41	—	2	2	no	—
384	C₁₃×#41	—	2	2	no	—
385	C₁₃×#41	—	2	2	no	—
386	C₁₃×#41	—	2	2	no	—
387	C₁₃×#41	—	2	2	no	—
388	C₁₃×#41	—	4	4	no	—
389	C₁₃×#41	—	4	4	no	—
390	C₁₃×#41	—	4	2	no	—
391	C₁₃×#41	—	4	1	no	—
392	C₁₃×#41	—	4	1	no	—
393	C₁₃×#41	—	4	2	no	—
394	C₁₃×#41	—	4	1	no	—
395	C₁₃×#41	—	4	1	no	—
396	C₁₃×#41	—	4	4	no	—
397	C₁₃×#41	—	4	4	no	—
398	C₁₃×#41	—	4	4	no	—
399	C₁₃×#41	—	4	4	no	—
400	C₁₃×#41	C₂×D₄	1	4	yes	—
401	C₂×Q₈×C₁₃	—	2	1	no	—
402	C₂×Q₈×C₁₃	—	2	2	no	—
403	C₂×Q₈×C₁₃	—	2	2	no	—
404	C₂×Q₈×C₁₃	—	2	1	no	—
405	C₂×Q₈×C₁₃	—	2	1	no	—
406	C₂×Q₈×C₁₃	—	2	1	no	—
407	C₂×Q₈×C₁₃	—	2	2	no	—
408	C₂×Q₈×C₁₃	—	2	4	no	—
409	C₂×Q₈×C₁₃	—	2	2	no	—
410	C₂×Q₈×C₁₃	—	2	4	no	—
411	C₂×Q₈×C₁₃	—	2	2	no	—
412	C₂×Q₈×C₁₃	—	2	2	no	—
413	C₂×Q₈×C₁₃	—	2	2	no	—
414	C₂×Q₈×C₁₃	—	4	4	no	—
415	C₂×Q₈×C₁₃	—	4	2	no	—
416	C₂×Q₈×C₁₃	—	4	2	no	—
417	C₂×Q₈×C₁₃	—	4	1	no	—
418	C₂×Q₈×C₁₃	—	4	1	no	—
419	C₂×Q₈×C₁₃	—	4	4	no	—
420	C₂×Q₈×C₁₃	—	4	4	no	—
421	C₂×Q₈×C₁₃	C₂×D₄	1	4	yes	complemented
422	C₂×Q₈×C₁₃	C₂⁴	1	2	yes	—
423	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
424	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
425	C₂×Q₈×C₁₃	C₂⁴	1	2	yes	—
426	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
427	C₂×D₄×C₁₃	—	2	1	no	—
428	C₂×D₄×C₁₃	—	2	2	no	—
429	C₂×D₄×C₁₃	—	2	2	no	—
430	C₂×D₄×C₁₃	—	2	1	no	—
431	C₂×D₄×C₁₃	—	2	1	no	—
432	C₂×D₄×C₁₃	—	2	2	no	—
433	C₂×D₄×C₁₃	—	2	2	no	—
434	C₂×D₄×C₁₃	—	2	1	no	—
435	C₂×D₄×C₁₃	—	2	1	no	—
436	C₂×D₄×C₁₃	—	2	1	no	—
437	C₂×D₄×C₁₃	—	2	1	no	—
438	C₂×D₄×C₁₃	—	2	2	no	—
439	C₂×D₄×C₁₃	—	2	2	no	—
440	C₂×D₄×C₁₃	—	2	1	no	—
441	C₂×D₄×C₁₃	—	2	1	no	—
442	C₂×D₄×C₁₃	—	2	1	no	—
443	C₂×D₄×C₁₃	—	2	1	no	—
444	C₂×D₄×C₁₃	—	2	2	no	—
445	C₂×D₄×C₁₃	—	2	1	no	—
446	C₂×D₄×C₁₃	—	2	1	no	—
447	C₂×D₄×C₁₃	—	2	1	no	—
448	C₂×D₄×C₁₃	—	2	1	no	—
449	C₂×D₄×C₁₃	—	2	1	no	—
450	C₂×D₄×C₁₃	—	2	2	no	—
451	C₂×D₄×C₁₃	—	4	1	no	—
452	C₂×D₄×C₁₃	—	4	1	no	—
453	C₂×D₄×C₁₃	—	4	4	no	—
454	C₂×D₄×C₁₃	—	4	2	no	—
455	C₂×D₄×C₁₃	—	4	4	no	—
456	C₂×D₄×C₁₃	—	4	4	no	—
457	C₂×D₄×C₁₃	—	4	4	no	—
458	C₂×D₄×C₁₃	—	4	4	no	—
459	C₂×D₄×C₁₃	C₂×D₄	1	1	yes	characteristic
460	C₂×D₄×C₁₃	C₂×D₄	1	1	yes	characteristic
461	C₂×D₄×C₁₃	C₂×D₄	1	1	yes	characteristic
462	C₂×D₄×C₁₃	C₂×D₄	1	1	yes	characteristic
463	C₂×D₄×C₁₃	C₂⁴	1	2	yes	—
464	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
465	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
466	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
467	C₂²×C₄×C₁₃	—	2	1	no	—
468	C₂²×C₄×C₁₃	—	2	1	no	—
469	C₂²×C₄×C₁₃	—	2	2	no	—
470	C₂²×C₄×C₁₃	—	2	2	no	—
471	C₂²×C₄×C₁₃	—	2	2	no	—
472	C₂²×C₄×C₁₃	—	2	2	no	—
473	C₂²×C₄×C₁₃	—	2	1	no	—
474	C₂²×C₄×C₁₃	—	2	1	no	—
475	C₂²×C₄×C₁₃	—	2	2	no	—
476	C₂²×C₄×C₁₃	—	2	2	no	—
477	C₂²×C₄×C₁₃	—	2	1	no	—
478	C₂²×C₄×C₁₃	—	2	1	no	—
479	C₂²×C₄×C₁₃	—	2	1	no	—
480	C₂²×C₄×C₁₃	—	2	1	no	—
481	C₂²×C₄×C₁₃	—	2	1	no	—
482	C₂²×C₄×C₁₃	—	2	1	no	—
483	C₂²×C₄×C₁₃	—	2	1	no	—
484	C₂²×C₄×C₁₃	—	2	1	no	—
485	C₂²×C₄×C₁₃	—	2	1	no	—
486	C₂²×C₄×C₁₃	—	2	2	no	—
487	C₂²×C₄×C₁₃	—	2	2	no	—
488	C₂²×C₄×C₁₃	—	2	1	no	—
489	C₂²×C₄×C₁₃	—	4	4	no	—
490	C₂²×C₄×C₁₃	—	4	4	no	—
491	C₂²×C₄×C₁₃	—	4	4	no	—
492	C₂²×C₄×C₁₃	—	4	4	no	—
493	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
494	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
495	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
496	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
497	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
498	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
499	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
500	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
501	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
502	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
503	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
504	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
505	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
506	C₁₃×Q₁₆	—	2	4	no	—
507	C₁₃×Q₁₆	—	2	4	no	—
508	C₁₃×Q₁₆	—	2	4	no	—
509	C₁₃×Q₁₆	—	2	4	no	—
510	C₁₃×Q₁₆	—	4	2	no	—
511	C₁₃×Q₁₆	C₂×D₄	1	8	yes	complemented
512	C₁₃×SD₁₆	—	2	4	no	—
513	C₁₃×SD₁₆	—	2	4	no	—
514	C₁₃×SD₁₆	—	2	4	no	—
515	C₁₃×SD₁₆	—	2	4	no	—
516	C₁₃×SD₁₆	—	2	4	no	—
517	C₁₃×SD₁₆	—	2	4	no	—
518	C₁₃×SD₁₆	—	4	2	no	—
519	C₁₃×SD₁₆	—	4	2	no	—
520	C₁₃×SD₁₆	C₂×D₄	1	8	yes	complemented
521	C₁₃×D₈	—	2	4	no	—
522	C₁₃×D₈	—	2	4	no	—
523	C₁₃×D₈	—	4	2	no	—
524	C₁₃×M₁₆	—	2	2	no	—
525	C₁₃×M₁₆	—	2	2	no	—
526	C₁₃×M₁₆	—	2	2	no	—
527	C₁₃×M₁₆	—	2	4	no	—
528	C₁₃×M₁₆	—	2	4	no	—
529	C₁₃×M₁₆	C₂×D₄	1	4	yes	complemented
530	C₂×C₈×C₁₃	—	2	4	no	—
531	C₂×C₈×C₁₃	—	2	4	no	—
532	C₂×C₈×C₁₃	C₂⁴	1	2	yes	—
533	C₂×C₈×C₁₃	C₂⁴	1	2	yes	—
534	C₂×C₈×C₁₃	C₂⁴	1	2	yes	—
535	C₂×C₈×C₁₃	C₂⁴	1	2	yes	—
536	C₁₃×C₄⋊C₄	—	2	1	no	—
537	C₁₃×C₄⋊C₄	—	2	2	no	—
538	C₁₃×C₄⋊C₄	—	2	2	no	—
539	C₁₃×C₄⋊C₄	—	2	1	no	—
540	C₁₃×C₄⋊C₄	—	2	1	no	—
541	C₁₃×C₄⋊C₄	—	2	2	no	—
542	C₁₃×C₄⋊C₄	—	2	2	no	—
543	C₁₃×C₄⋊C₄	—	2	1	no	—
544	C₁₃×C₄⋊C₄	—	2	1	no	—
545	C₁₃×C₄⋊C₄	—	2	1	no	—
546	C₁₃×C₄⋊C₄	—	2	1	no	—
547	C₁₃×C₄⋊C₄	—	2	1	no	—
548	C₁₃×C₄⋊C₄	—	2	1	no	—
549	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
550	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
551	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
552	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
553	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
554	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
555	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
556	C₁₃×C₂²⋊C₄	—	2	1	no	—
557	C₁₃×C₂²⋊C₄	—	2	1	no	—
558	C₁₃×C₂²⋊C₄	—	2	2	no	—
559	C₁₃×C₂²⋊C₄	—	2	2	no	—
560	C₁₃×C₂²⋊C₄	—	2	1	no	—
561	C₁₃×C₂²⋊C₄	—	2	1	no	—
562	C₁₃×C₂²⋊C₄	—	2	1	no	—
563	C₁₃×C₂²⋊C₄	—	2	1	no	—
564	C₁₃×C₂²⋊C₄	—	2	1	no	—
565	C₁₃×C₂²⋊C₄	—	2	1	no	—
566	C₁₃×C₂²⋊C₄	—	2	1	no	—
567	C₁₃×C₂²⋊C₄	—	2	2	no	—
568	C₁₃×C₂²⋊C₄	—	2	2	no	—
569	C₁₃×C₂²⋊C₄	—	2	2	no	—
570	C₁₃×C₂²⋊C₄	—	2	2	no	—
571	C₁₃×C₂²⋊C₄	—	2	2	no	—
572	C₁₃×C₂²⋊C₄	—	2	2	no	—
573	C₁₃×C₂²⋊C₄	—	2	1	no	—
574	C₁₃×C₂²⋊C₄	—	2	1	no	—
575	C₁₃×C₂²⋊C₄	—	2	1	no	—
576	C₁₃×C₂²⋊C₄	—	2	1	no	—
577	C₁₃×C₂²⋊C₄	—	2	1	no	—
578	C₁₃×C₂²⋊C₄	—	2	1	no	—
579	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
580	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
581	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
582	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
583	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
584	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
585	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
586	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
587	C₄²×C₁₃	—	2	1	no	—
588	C₄²×C₁₃	—	2	1	no	—
589	C₄²×C₁₃	—	2	1	no	—
590	C₄²×C₁₃	—	2	2	no	—
591	C₄²×C₁₃	—	2	2	no	—
592	C₄²×C₁₃	C₂×D₄	1	1	yes	characteristic
593	C₄²×C₁₃	C₂×D₄	1	1	yes	characteristic
594	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
595	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
596	C₂×#575	C₂×C₁₃	1	1	yes	characteristic, complemented
597	C₂²×#137	C₂×C₁₃	1	1	yes	characteristic, complemented
598	D₄×#41	C₂×C₁₃	1	1	yes	characteristic, complemented
599	C₂×#548	C₂×C₁₃	1	1	yes	characteristic, complemented
600	#3285	C₂×C₁₃	1	2	yes	complemented
601	#3282	C₂×C₁₃	1	2	yes	complemented
602	#3277	C₂×C₁₃	1	2	yes	complemented
603	#3275	C₂×C₁₃	1	2	yes	complemented
604	#3271	C₂×C₁₃	1	2	yes	complemented
605	#3270	C₂×C₁₃	1	2	yes	complemented
606	#3269	C₂×C₁₃	1	2	yes	complemented
607	#3265	C₂×C₁₃	1	2	yes	complemented
608	#3153	C₂×C₁₃	1	1	yes	characteristic, complemented
609	#3056	C₂×C₁₃	1	1	yes	characteristic, complemented
610	#3055	C₂×C₁₃	1	1	yes	characteristic, complemented
611	#3040	C₂×C₁₃	1	1	yes	characteristic, complemented
612	#3037	C₂×C₁₃	1	1	yes	characteristic, complemented
613	#3007	C₂×C₁₃	1	1	yes	characteristic, complemented
614	#3006	C₂×C₁₃	1	1	yes	characteristic, complemented
615	#3005	C₂×C₁₃	1	1	yes	characteristic, complemented
616	#3004	C₂×C₁₃	1	1	yes	characteristic, complemented
617	C₄×#137	C₂×C₁₃	1	1	yes	characteristic, complemented
618	D₄×M₁₆	C₂×C₁₃	1	1	yes	characteristic, complemented
619	C₂³×C₁₃	—	2	2	no	—
620	C₂³×C₁₃	—	2	2	no	—
621	C₂³×C₁₃	—	2	1	no	—
622	C₂³×C₁₃	—	2	2	no	—
623	C₂³×C₁₃	—	2	2	no	—
624	C₂³×C₁₃	—	2	1	no	—
625	C₂³×C₁₃	—	2	1	no	—
626	C₂³×C₁₃	—	4	1	no	—
627	C₂³×C₁₃	—	4	1	no	—
628	C₂³×C₁₃	—	4	1	no	—
629	C₂³×C₁₃	—	4	2	no	—
630	C₂³×C₁₃	—	4	2	no	—
631	C₂³×C₁₃	—	4	2	no	—
632	C₂³×C₁₃	—	4	2	no	—
633	C₂³×C₁₃	—	4	2	no	—
634	C₂³×C₁₃	—	4	2	no	—
635	C₂³×C₁₃	—	4	2	no	—
636	C₂³×C₁₃	—	8	1	no	—
637	C₂³×C₁₃	—	8	1	no	—
638	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
639	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
640	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
641	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
642	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
643	Q₈×C₁₃	—	2	4	no	—
644	Q₈×C₁₃	—	2	2	no	—
645	Q₈×C₁₃	—	2	1	no	—
646	Q₈×C₁₃	—	2	2	no	—
647	Q₈×C₁₃	—	2	1	no	—
648	Q₈×C₁₃	—	2	1	no	—
649	Q₈×C₁₃	—	2	1	no	—
650	Q₈×C₁₃	—	2	2	no	—
651	Q₈×C₁₃	—	2	1	no	—
652	Q₈×C₁₃	—	4	4	no	—
653	Q₈×C₁₃	—	4	4	no	—
654	Q₈×C₁₃	—	4	2	no	—
655	Q₈×C₁₃	—	4	2	no	—
656	Q₈×C₁₃	—	4	2	no	—
657	Q₈×C₁₃	C₂²×D₄	1	4	yes	—
658	Q₈×C₁₃	C₂²×D₄	1	2	yes	—
659	D₄×C₁₃	—	2	4	no	—
660	D₄×C₁₃	—	2	2	no	—
661	D₄×C₁₃	—	2	2	no	—
662	D₄×C₁₃	—	2	2	no	—
663	D₄×C₁₃	—	2	1	no	—
664	D₄×C₁₃	—	2	1	no	—
665	D₄×C₁₃	—	2	1	no	—
666	D₄×C₁₃	—	2	1	no	—
667	D₄×C₁₃	—	2	2	no	—
668	D₄×C₁₃	—	2	1	no	—
669	D₄×C₁₃	—	4	1	no	—
670	D₄×C₁₃	—	4	1	no	—
671	D₄×C₁₃	—	4	2	no	—
672	D₄×C₁₃	—	4	2	no	—
673	D₄×C₁₃	—	4	2	no	—
674	D₄×C₁₃	—	4	2	no	—
675	D₄×C₁₃	—	4	4	no	—
676	D₄×C₁₃	—	4	4	no	—
677	D₄×C₁₃	—	4	2	no	—
678	D₄×C₁₃	—	4	2	no	—
679	D₄×C₁₃	—	4	2	no	—
680	D₄×C₁₃	—	4	2	no	—
681	D₄×C₁₃	—	4	4	no	—
682	D₄×C₁₃	—	4	2	no	—
683	D₄×C₁₃	—	4	2	no	—
684	D₄×C₁₃	—	4	2	no	—
685	D₄×C₁₃	—	4	4	no	—
686	D₄×C₁₃	—	4	2	no	—
687	D₄×C₁₃	—	8	1	no	—
688	D₄×C₁₃	—	8	1	no	—
689	D₄×C₁₃	—	8	1	no	—
690	D₄×C₁₃	C₂²×D₄	1	2	yes	—
691	C₂×C₄×C₁₃	—	2	2	no	—
692	C₂×C₄×C₁₃	—	2	2	no	—
693	C₂×C₄×C₁₃	—	2	4	no	—
694	C₂×C₄×C₁₃	—	2	1	no	—
695	C₂×C₄×C₁₃	—	2	2	no	—
696	C₂×C₄×C₁₃	—	2	2	no	—
697	C₂×C₄×C₁₃	—	2	2	no	—
698	C₂×C₄×C₁₃	—	2	2	no	—
699	C₂×C₄×C₁₃	—	2	2	no	—
700	C₂×C₄×C₁₃	—	2	4	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	2	no	—
712	C₂×C₄×C₁₃	—	2	2	no	—
713	C₂×C₄×C₁₃	—	2	1	no	—
714	C₂×C₄×C₁₃	—	2	1	no	—
715	C₂×C₄×C₁₃	—	4	1	no	—
716	C₂×C₄×C₁₃	—	4	1	no	—
717	C₂×C₄×C₁₃	—	4	2	no	—
718	C₂×C₄×C₁₃	—	4	4	no	—
719	C₂×C₄×C₁₃	—	4	4	no	—
720	C₂×C₄×C₁₃	—	4	2	no	—
721	C₂×C₄×C₁₃	—	4	2	no	—
722	C₂×C₄×C₁₃	—	4	2	no	—
723	C₂×C₄×C₁₃	—	4	4	no	—
724	C₂×C₄×C₁₃	—	4	4	no	—
725	C₂×C₄×C₁₃	—	4	2	no	—
726	C₂×C₄×C₁₃	—	4	2	no	—
727	C₂×C₄×C₁₃	—	4	2	no	—
728	C₂×C₄×C₁₃	—	4	2	no	—
729	C₂×C₄×C₁₃	—	4	2	no	—
730	C₂×C₄×C₁₃	—	4	2	no	—
731	C₂×C₄×C₁₃	—	4	2	no	—
732	C₂×C₄×C₁₃	—	8	1	no	—
733	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
734	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
735	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
736	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
737	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
738	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
739	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
740	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
741	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
742	C₂×C₄×C₁₃	C₂²×D₄	1	2	yes	—
743	C₂×C₄×C₁₃	H(5,𝔽₂)	1	2	yes	—
744	C₂×C₄×C₁₃	C₂⁵	1	1	yes	characteristic
745	C₈×C₁₃	—	2	2	no	—
746	C₈×C₁₃	—	2	2	no	—
747	C₈×C₁₃	—	2	2	no	—
748	C₈×C₁₃	C₂²×D₄	1	4	yes	—
749	C₂²×#41	C₂²×C₁₃	1	1	yes	characteristic
750	C₂²×#41	C₂²×C₁₃	1	1	yes	characteristic
751	C₂²×#41	C₂²×C₁₃	1	1	yes	characteristic, complemented
752	C₂³×Q₈	C₂²×C₁₃	1	1	yes	characteristic, complemented
753	#575	—	2	8	no	—
754	C₂×#137	—	2	8	no	—
755	C₂×#137	C₂²×C₁₃	1	1	yes	characteristic
756	C₂×#137	C₂²×C₁₃	1	1	yes	characteristic
757	C₂×#137	C₂²×C₁₃	1	1	yes	characteristic, complemented
758	C₂×#137	C₂²×C₁₃	1	1	yes	characteristic, complemented
759	C₂×#137	C₂²×C₁₃	1	1	yes	characteristic, complemented
760	C₂×#137	C₂²×C₁₃	1	2	yes	complemented
761	C₂×#137	C₂²×C₁₃	1	2	yes	complemented
762	C₂×#137	C₂²×C₁₃	1	2	yes	complemented
763	C₂×#137	C₂²×C₁₃	1	1	yes	characteristic, complemented
764	C₂×AGL(1,ℤ/8)	C₂²×C₁₃	1	1	yes	characteristic
765	C₂×AGL(1,ℤ/8)	C₂²×C₁₃	1	1	yes	characteristic, complemented
766	C₂×AGL(1,ℤ/8)	C₂²×C₁₃	1	2	yes	complemented
767	C₂×AGL(1,ℤ/8)	C₂²×C₁₃	1	1	yes	characteristic, complemented
768	C₂×#135	C₂²×C₁₃	1	2	yes	complemented
769	C₂×#135	C₂²×C₁₃	1	2	yes	complemented
770	C₂²×Q₁₆	C₂²×C₁₃	1	2	yes	complemented
771	C₂²×SD₁₆	C₂²×C₁₃	1	2	yes	complemented
772	C₂²×M₁₆	C₂²×C₁₃	1	1	yes	characteristic, complemented
773	C₂²×M₁₆	C₂²×C₁₃	1	1	yes	characteristic, complemented
774	#550	C₂²×C₁₃	1	1	yes	characteristic, complemented
775	D₄×Q₈	C₂²×C₁₃	1	1	yes	characteristic, complemented
776	#548	—	2	1	no	—
777	#548	—	2	1	no	—
778	#548	—	2	1	no	—
779	#548	—	2	1	no	—
780	#548	C₂²×C₁₃	1	2	yes	—
781	#548	C₂²×C₁₃	1	2	yes	complemented
782	#548	C₂²×C₁₃	1	2	yes	complemented
783	#548	C₂²×C₁₃	1	2	yes	complemented
784	#548	C₂²×C₁₃	1	1	yes	characteristic, complemented
785	#548	C₂²×C₁₃	1	1	yes	characteristic, complemented
786	#547	—	2	1	no	—
787	#547	C₂²×C₁₃	1	1	yes	characteristic, complemented
788	#546	—	2	1	no	—
789	#546	—	2	1	no	—
790	#546	C₂²×C₁₃	1	1	yes	characteristic, complemented
791	#546	C₂²×C₁₃	1	1	yes	characteristic, complemented
792	D₄²	—	2	1	no	—
793	D₄²	C₂²×C₁₃	1	1	yes	characteristic, complemented
794	#532	—	2	1	no	—
795	#532	C₂²×C₁₃	1	1	yes	characteristic
796	C₂×#124	—	2	1	no	—
797	C₂×#124	C₂²×C₁₃	1	1	yes	characteristic, complemented
798	#525	—	2	1	no	—
799	#525	—	2	1	no	—
800	#525	C₂²×C₁₃	1	1	yes	characteristic
801	#525	C₂²×C₁₃	1	1	yes	characteristic
802	C₂×C₂²⋊Q₈	—	2	1	no	—
803	C₂×C₂²⋊Q₈	C₂²×C₁₃	1	1	yes	characteristic, complemented
804	C₂×#121	—	2	1	no	—
805	C₂×#121	C₂²×C₁₃	1	1	yes	characteristic, complemented
806	C₄×#41	C₂²×C₁₃	1	1	yes	characteristic
807	C₂×C₄×Q₈	C₂²×C₁₃	1	1	yes	characteristic, complemented
808	C₂×C₄×D₄	—	2	1	no	—
809	C₂×C₄×D₄	—	2	1	no	—
810	C₂×C₄×D₄	C₂²×C₁₃	1	1	yes	characteristic
811	#497	C₂²×C₁₃	1	2	yes	complemented
812	#496	C₂²×C₁₃	1	2	yes	complemented
813	#495	C₂²×C₁₃	1	2	yes	complemented
814	#495	C₂²×C₁₃	1	2	yes	complemented
815	#470	C₂²×C₁₃	1	2	yes	complemented
816	#469	C₂²×C₁₃	1	2	yes	complemented
817	#468	C₂²×C₁₃	1	2	yes	complemented
818	#468	C₂²×C₁₃	1	2	yes	complemented
819	#467	C₂²×C₁₃	1	2	yes	complemented
820	#466	C₂²×C₁₃	1	2	yes	complemented
821	#465	C₂²×C₁₃	1	2	yes	complemented
822	#465	C₂²×C₁₃	1	2	yes	complemented
823	#464	C₂²×C₁₃	1	2	yes	complemented
824	#464	C₂²×C₁₃	1	2	yes	complemented
825	#464	C₂²×C₁₃	1	2	yes	complemented
826	#464	C₂²×C₁₃	1	2	yes	complemented
827	#463	C₂²×C₁₃	1	2	yes	complemented
828	#463	C₂²×C₁₃	1	2	yes	complemented
829	#462	C₂²×C₁₃	1	2	yes	complemented
830	#460	C₂²×C₁₃	1	2	yes	complemented
831	#452	C₂²×C₁₃	1	2	yes	complemented
832	#452	C₂²×C₁₃	1	2	yes	complemented
833	#452	C₂²×C₁₃	1	2	yes	complemented
834	#452	C₂²×C₁₃	1	2	yes	complemented
835	#451	C₂²×C₁₃	1	2	yes	complemented
836	#451	C₂²×C₁₃	1	2	yes	complemented
837	#451	C₂²×C₁₃	1	2	yes	complemented
838	#450	C₂²×C₁₃	1	2	yes	complemented
839	#449	C₂²×C₁₃	1	2	yes	complemented
840	#449	C₂²×C₁₃	1	2	yes	complemented
841	#449	C₂²×C₁₃	1	2	yes	complemented
842	#449	C₂²×C₁₃	1	2	yes	complemented
843	#448	C₂²×C₁₃	1	2	yes	complemented
844	#448	C₂²×C₁₃	1	2	yes	complemented
845	#448	C₂²×C₁₃	1	2	yes	complemented
846	#447	C₂²×C₁₃	1	2	yes	complemented
847	#441	C₂²×C₁₃	1	2	yes	complemented
848	#440	C₂²×C₁₃	1	2	yes	complemented
849	C₄×Q₁₆	C₂²×C₁₃	1	2	yes	complemented
850	C₄×SD₁₆	C₂²×C₁₃	1	2	yes	complemented
851	#436	C₂²×C₁₃	1	2	yes	complemented
852	#435	C₂²×C₁₃	1	2	yes	complemented
853	#435	C₂²×C₁₃	1	2	yes	complemented
854	C₈×D₄	C₂²×C₁₃	1	2	yes	complemented
855	#428	C₂²×C₁₃	1	1	yes	characteristic, complemented
856	#423	C₂²×C₁₃	1	1	yes	characteristic, complemented
857	#419	C₂²×C₁₃	1	1	yes	characteristic, complemented
858	#419	C₂²×C₁₃	1	1	yes	characteristic, complemented
859	#418	C₂²×C₁₃	1	1	yes	characteristic, complemented
860	#417	C₂²×C₁₃	1	1	yes	characteristic
861	#417	C₂²×C₁₃	1	1	yes	characteristic, complemented
862	#417	C₂²×C₁₃	1	1	yes	characteristic, complemented
863	#407	C₂²×C₁₃	1	1	yes	characteristic, complemented
864	#407	C₂²×C₁₃	1	1	yes	characteristic, complemented
865	C₄×M₁₆	C₂²×C₁₃	1	1	yes	characteristic, complemented
866	C₂²×C₁₃	—	2	1	no	—
867	C₂²×C₁₃	—	2	1	no	—
868	C₂²×C₁₃	—	2	1	no	—
869	C₂²×C₁₃	—	2	1	no	—
870	C₂²×C₁₃	—	2	1	no	—
871	C₂²×C₁₃	—	2	1	no	—
872	C₂²×C₁₃	—	2	1	no	—
873	C₂²×C₁₃	—	2	1	no	—
874	C₂²×C₁₃	—	2	1	no	—
875	C₂²×C₁₃	—	2	1	no	—
876	C₂²×C₁₃	—	2	2	no	—
877	C₂²×C₁₃	—	2	1	no	—
878	C₂²×C₁₃	—	2	1	no	—
879	C₂²×C₁₃	—	2	1	no	—
880	C₂²×C₁₃	—	4	4	no	—
881	C₂²×C₁₃	—	4	1	no	—
882	C₂²×C₁₃	—	4	1	no	—
883	C₂²×C₁₃	—	4	1	no	—
884	C₂²×C₁₃	—	4	1	no	—
885	C₂²×C₁₃	—	4	2	no	—
886	C₂²×C₁₃	—	4	2	no	—
887	C₂²×C₁₃	—	4	1	no	—
888	C₂²×C₁₃	—	4	1	no	—
889	C₂²×C₁₃	—	4	1	no	—
890	C₂²×C₁₃	—	4	1	no	—
891	C₂²×C₁₃	—	4	2	no	—
892	C₂²×C₁₃	—	8	2	no	—
893	C₂²×C₁₃	—	8	4	no	—
894	C₂²×C₁₃	—	8	4	no	—
895	C₂²×C₁₃	—	8	4	no	—
896	C₂²×C₁₃	D₄²	1	2	yes	—
897	C₂²×C₁₃	#575	1	2	yes	complemented
898	C₂²×C₁₃	C₂³×D₄	1	1	yes	characteristic
899	C₄×C₁₃	—	2	1	no	—
900	C₄×C₁₃	—	2	1	no	—
901	C₄×C₁₃	—	2	1	no	—
902	C₄×C₁₃	—	2	1	no	—
903	C₄×C₁₃	—	2	1	no	—
904	C₄×C₁₃	—	2	1	no	—
905	C₄×C₁₃	—	2	2	no	—
906	C₄×C₁₃	—	2	4	no	—
907	C₄×C₁₃	—	2	1	no	—
908	C₄×C₁₃	—	2	1	no	—
909	C₄×C₁₃	—	4	1	no	—
910	C₄×C₁₃	—	4	1	no	—
911	C₄×C₁₃	—	4	1	no	—
912	C₄×C₁₃	—	4	2	no	—
913	C₄×C₁₃	—	4	1	no	—
914	C₄×C₁₃	—	4	2	no	—
915	C₄×C₁₃	D₄²	1	2	yes	—
916	C₄×C₁₃	C₂³×D₄	1	1	yes	characteristic
917	C₄×C₁₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
918	C₂×#41	—	2	1	no	—
919	C₂×#41	—	2	1	no	—
920	C₂×#41	—	2	1	no	—
921	C₂×#41	—	2	1	no	—
922	C₂×#41	—	2	1	no	—
923	C₂×#41	—	2	1	no	—
924	C₂×#41	—	2	4	no	—
925	C₂×#41	—	2	4	no	—
926	C₂×#41	—	2	4	no	—
927	C₂×#41	—	4	2	no	—
928	C₂×#41	—	4	2	no	—
929	C₂×#41	—	4	2	no	—
930	C₂×#41	C₂³×C₁₃	1	1	yes	characteristic
931	C₂×#41	C₂³×C₁₃	1	1	yes	characteristic
932	C₂×#41	C₂³×C₁₃	1	1	yes	characteristic
933	C₂×#41	C₂³×C₁₃	1	1	yes	characteristic
934	C₂×#41	C₂³×C₁₃	1	2	yes	—
935	C₂×#41	C₂³×C₁₃	1	2	yes	—
936	C₂×#41	C₂³×C₁₃	1	1	yes	characteristic
937	C₂×#41	C₂³×C₁₃	1	1	yes	characteristic
938	C₂×#41	C₂³×C₁₃	1	1	yes	characteristic
939	C₂²×Q₈	—	2	1	no	—
940	C₂²×Q₈	—	2	1	no	—
941	C₂²×Q₈	—	2	1	no	—
942	C₂²×Q₈	—	2	4	no	—
943	C₂²×Q₈	—	4	2	no	—
944	C₂²×Q₈	C₂³×C₁₃	1	1	yes	characteristic
945	C₂²×Q₈	C₂³×C₁₃	1	2	yes	—
946	C₂²×Q₈	C₂³×C₁₃	1	2	yes	—
947	C₂²×Q₈	C₂³×C₁₃	1	1	yes	characteristic
948	C₂²×Q₈	C₂³×C₁₃	1	1	yes	characteristic
949	C₂²×Q₈	C₂³×C₁₃	1	1	yes	characteristic
950	C₂²×D₄	—	2	1	no	—
951	C₂²×D₄	—	2	1	no	—
952	C₂²×D₄	—	2	1	no	—
953	C₂²×D₄	—	2	1	no	—
954	C₂²×D₄	—	2	1	no	—
955	C₂²×D₄	D₄×C₁₃	1	1	yes	characteristic
956	C₂²×D₄	C₂³×C₁₃	1	1	yes	characteristic
957	C₂²×D₄	C₂³×C₁₃	1	1	yes	characteristic
958	C₂²×D₄	C₂³×C₁₃	1	1	yes	characteristic
959	C₂³×C₄	—	2	1	no	—
960	C₂³×C₄	—	2	1	no	—
961	C₂³×C₄	—	2	1	no	—
962	C₂³×C₄	—	2	1	no	—
963	C₂³×C₄	C₂³×C₁₃	1	1	yes	characteristic
964	C₂³×C₄	C₂³×C₁₃	1	1	yes	characteristic
965	#137	—	2	4	no	—
966	#137	—	2	4	no	—
967	#137	—	2	4	no	—
968	#137	—	2	8	no	—
969	#137	—	2	8	no	—
970	#137	—	2	8	no	—
971	#137	—	2	4	no	—
972	#137	—	4	2	no	—
973	#137	D₄×C₁₃	1	8	yes	complemented
974	AGL(1,ℤ/8)	—	2	4	no	—
975	AGL(1,ℤ/8)	—	2	8	no	—
976	AGL(1,ℤ/8)	—	2	4	no	—
977	AGL(1,ℤ/8)	—	4	2	no	—
978	#135	—	2	8	no	—
979	#135	—	2	8	no	—
980	C₂×Q₁₆	—	2	8	no	—
981	C₂×Q₁₆	C₂³×C₁₃	1	2	yes	—
982	C₂×Q₁₆	C₂³×C₁₃	1	2	yes	—
983	C₂×Q₁₆	C₂³×C₁₃	1	2	yes	—
984	C₂×Q₁₆	C₂³×C₁₃	1	2	yes	—
985	C₂×Q₁₆	C₂³×C₁₃	1	2	yes	—
986	C₂×Q₁₆	C₂³×C₁₃	1	2	yes	—
987	C₂×SD₁₆	—	2	8	no	—
988	C₂×SD₁₆	C₂³×C₁₃	1	2	yes	—
989	C₂×SD₁₆	C₂³×C₁₃	1	2	yes	—
990	C₂×SD₁₆	C₂³×C₁₃	1	2	yes	—
991	C₂×SD₁₆	C₂³×C₁₃	1	2	yes	—
992	C₂×SD₁₆	C₂³×C₁₃	1	2	yes	—
993	C₂×SD₁₆	C₂³×C₁₃	1	2	yes	—
994	C₂×SD₁₆	C₂³×C₁₃	1	2	yes	—
995	C₂×SD₁₆	C₂³×C₁₃	1	2	yes	—
996	C₂×SD₁₆	C₂³×C₁₃	1	2	yes	—
997	C₂×D₈	C₂³×C₁₃	1	2	yes	—
998	C₂×D₈	C₂³×C₁₃	1	2	yes	—
999	C₂×D₈	C₂³×C₁₃	1	2	yes	—
1000	C₂×M₁₆	—	2	4	no	—
1001	C₂×M₁₆	—	2	4	no	—
1002	C₂×M₁₆	C₂³×C₁₃	1	1	yes	characteristic
1003	C₂×M₁₆	C₂³×C₁₃	1	2	yes	—
1004	C₂×M₁₆	C₂³×C₁₃	1	1	yes	characteristic
1005	C₂×M₁₆	C₂³×C₁₃	1	2	yes	—
1006	C₂×M₁₆	C₂³×C₁₃	1	1	yes	characteristic
1007	C₂×M₁₆	C₂³×C₁₃	1	1	yes	characteristic
1008	C₂²×C₈	C₂³×C₁₃	1	2	yes	—
1009	C₂²×C₈	C₂³×C₁₃	1	2	yes	—
1010	C₄⋊Q₈	—	2	1	no	—
1011	C₄⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
1012	#127	—	2	1	no	—
1013	#127	C₂³×C₁₃	1	1	yes	characteristic
1014	#124	—	2	2	no	—
1015	#124	—	2	2	no	—
1016	#124	—	2	2	no	—
1017	#124	—	2	2	no	—
1018	#124	—	2	1	no	—
1019	#124	—	2	1	no	—
1020	#124	—	2	1	no	—
1021	#124	—	2	1	no	—
1022	#124	C₂³×C₁₃	1	2	yes	—
1023	#124	C₂³×C₁₃	1	2	yes	—
1024	#124	C₂³×C₁₃	1	1	yes	characteristic
1025	#124	C₂³×C₁₃	1	1	yes	characteristic
1026	#123	—	2	1	no	—
1027	#123	—	2	1	no	—
1028	#123	—	2	1	no	—
1029	#123	—	2	1	no	—
1030	#123	—	2	1	no	—
1031	#123	—	2	1	no	—
1032	C₂²⋊Q₈	—	2	1	no	—
1033	C₂²⋊Q₈	—	2	1	no	—
1034	C₂²⋊Q₈	—	2	2	no	—
1035	C₂²⋊Q₈	—	2	2	no	—
1036	C₂²⋊Q₈	—	2	2	no	—
1037	C₂²⋊Q₈	—	2	2	no	—
1038	C₂²⋊Q₈	—	2	1	no	—
1039	C₂²⋊Q₈	—	2	1	no	—
1040	C₂²⋊Q₈	—	2	1	no	—
1041	C₂²⋊Q₈	—	2	1	no	—
1042	C₂²⋊Q₈	C₂³×C₁₃	1	2	yes	—
1043	C₂²⋊Q₈	C₂³×C₁₃	1	2	yes	—
1044	C₂²⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
1045	C₂²⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
1046	C₂²⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
1047	C₂²⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
1048	#121	—	2	2	no	—
1049	#121	—	2	2	no	—
1050	#121	—	2	2	no	—
1051	#121	—	2	2	no	—
1052	#121	—	2	1	no	—
1053	#121	—	2	1	no	—
1054	#121	—	2	1	no	—
1055	#121	—	2	1	no	—
1056	#121	—	2	1	no	—
1057	#121	—	2	1	no	—
1058	#121	—	2	1	no	—
1059	#121	—	2	1	no	—
1060	#121	—	2	1	no	—
1061	#121	—	2	1	no	—
1062	#121	—	2	1	no	—
1063	#121	—	2	1	no	—
1064	#121	C₂³×C₁₃	1	2	yes	—
1065	#121	C₂³×C₁₃	1	2	yes	—
1066	#121	C₂³×C₁₃	1	1	yes	characteristic
1067	#121	C₂³×C₁₃	1	1	yes	characteristic
1068	#121	C₂³×C₁₃	1	1	yes	characteristic
1069	#121	C₂³×C₁₃	1	1	yes	characteristic
1070	#120	—	2	1	no	—
1071	#120	—	2	1	no	—
1072	#120	—	2	1	no	—
1073	#120	—	2	1	no	—
1074	#120	—	2	1	no	—
1075	#120	—	2	1	no	—
1076	C₄×Q₈	—	2	1	no	—
1077	C₄×Q₈	—	2	1	no	—
1078	C₄×Q₈	C₂³×C₁₃	1	2	yes	—
1079	C₄×Q₈	C₂³×C₁₃	1	2	yes	—
1080	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
1081	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
1082	C₄×D₄	—	2	1	no	—
1083	C₄×D₄	—	2	1	no	—
1084	C₄×D₄	—	2	1	no	—
1085	C₄×D₄	—	2	1	no	—
1086	C₄×D₄	—	2	1	no	—
1087	C₄×D₄	—	2	1	no	—
1088	C₄×D₄	—	2	1	no	—
1089	C₄×D₄	—	2	1	no	—
1090	C₄×D₄	—	2	1	no	—
1091	C₄×D₄	—	2	1	no	—
1092	C₄×D₄	—	2	2	no	—
1093	C₄×D₄	—	2	2	no	—
1094	C₄×D₄	—	2	2	no	—
1095	C₄×D₄	—	2	2	no	—
1096	C₄×D₄	—	2	1	no	—
1097	C₄×D₄	—	2	1	no	—
1098	C₄×D₄	D₄×C₁₃	1	1	yes	characteristic
1099	C₄×D₄	D₄×C₁₃	1	1	yes	characteristic
1100	C₄×D₄	D₄×C₁₃	1	1	yes	characteristic
1101	C₄×D₄	D₄×C₁₃	1	1	yes	characteristic
1102	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
1103	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
1104	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
1105	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
1106	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
1107	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
1108	#117	—	2	1	no	—
1109	#117	C₂³×C₁₃	1	1	yes	characteristic
1110	C₂×C₄⋊C₄	—	2	1	no	—
1111	C₂×C₄⋊C₄	—	2	1	no	—
1112	C₂×C₄⋊C₄	—	2	1	no	—
1113	C₂×C₄⋊C₄	D₄×C₁₃	1	1	yes	characteristic
1114	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1115	C₂×C₂²⋊C₄	—	2	1	no	—
1116	C₂×C₂²⋊C₄	—	2	1	no	—
1117	C₂×C₂²⋊C₄	—	2	1	no	—
1118	C₂×C₂²⋊C₄	—	2	1	no	—
1119	C₂×C₂²⋊C₄	—	2	1	no	—
1120	C₂×C₂²⋊C₄	—	2	1	no	—
1121	C₂×C₂²⋊C₄	D₄×C₁₃	1	1	yes	characteristic
1122	C₂×C₂²⋊C₄	D₄×C₁₃	1	1	yes	characteristic
1123	C₂×C₄²	—	2	1	no	—
1124	C₂×C₄²	—	2	1	no	—
1125	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
1126	#107	C₂³×C₁₃	1	2	yes	—
1127	#106	C₂³×C₁₃	1	2	yes	—
1128	C₄⋊C₈	C₂³×C₁₃	1	2	yes	—
1129	C₄⋊C₈	C₂³×C₁₃	1	2	yes	—
1130	#103	C₂³×C₁₃	1	2	yes	—
1131	#103	C₂³×C₁₃	1	2	yes	—
1132	#103	C₂³×C₁₃	1	2	yes	—
1133	#103	C₂³×C₁₃	1	2	yes	—
1134	#103	C₂³×C₁₃	1	2	yes	—
1135	#103	C₂³×C₁₃	1	2	yes	—
1136	#103	C₂³×C₁₃	1	2	yes	—
1137	#102	C₂³×C₁₃	1	2	yes	—
1138	#102	C₂³×C₁₃	1	2	yes	—
1139	#102	C₂³×C₁₃	1	2	yes	—
1140	#102	C₂³×C₁₃	1	2	yes	—
1141	#102	C₂³×C₁₃	1	2	yes	—
1142	C₂²⋊C₈	C₂³×C₁₃	1	2	yes	—
1143	C₂²⋊C₈	C₂³×C₁₃	1	2	yes	—
1144	C₂²⋊C₈	C₂³×C₁₃	1	2	yes	—
1145	C₂²⋊C₈	C₂³×C₁₃	1	2	yes	—
1146	#97	C₂³×C₁₃	1	2	yes	—
1147	C₄×C₈	C₂³×C₁₃	1	2	yes	—
1148	C₂×C₁₃	—	2	2	no	—
1149	C₂×C₁₃	—	2	2	no	—
1150	C₂×C₁₃	—	4	1	no	—
1151	C₂×C₁₃	—	4	1	no	—
1152	C₂×C₁₃	—	4	1	no	—
1153	C₂×C₁₃	—	4	2	no	—
1154	C₂×C₁₃	—	8	1	no	—
1155	C₂×C₁₃	—	8	1	no	—
1156	C₂×C₁₃	—	8	2	no	—
1157	C₂×C₁₃	C₂×D₄²	1	1	yes	characteristic
1158	C₂×C₁₃	C₂×#575	1	1	yes	characteristic
1159	C₂×C₁₃	#3586	1	1	yes	characteristic
1160	C₂⁴	—	2	1	no	—
1161	C₂⁴	—	2	1	no	—
1162	C₂⁴	—	2	1	no	—
1163	C₂⁴	C₂×D₄×C₁₃	1	1	yes	characteristic
1164	C₂⁴	C₂×D₄×C₁₃	1	1	yes	characteristic
1165	#41	—	2	2	no	—
1166	#41	—	2	4	no	—
1167	#41	—	2	2	no	—
1168	#41	—	2	4	no	—
1169	#41	—	2	2	no	—
1170	#41	—	2	2	no	—
1171	#41	—	2	2	no	—
1172	#41	—	2	2	no	—
1173	#41	—	2	2	no	—
1174	#41	—	2	2	no	—
1175	#41	—	2	2	no	—
1176	#41	—	4	4	no	—
1177	#41	—	4	4	no	—
1178	#41	—	4	2	no	—
1179	#41	—	4	1	no	—
1180	#41	—	4	1	no	—
1181	#41	—	4	2	no	—
1182	#41	—	4	1	no	—
1183	#41	—	4	1	no	—
1184	#41	—	4	4	no	—
1185	#41	—	4	4	no	—
1186	#41	—	4	4	no	—
1187	#41	—	4	4	no	—
1188	#41	C₂×D₄×C₁₃	1	4	yes	—
1189	C₂×Q₈	—	2	1	no	—
1190	C₂×Q₈	—	2	2	no	—
1191	C₂×Q₈	—	2	2	no	—
1192	C₂×Q₈	—	2	1	no	—
1193	C₂×Q₈	—	2	1	no	—
1194	C₂×Q₈	—	2	1	no	—
1195	C₂×Q₈	—	2	2	no	—
1196	C₂×Q₈	—	2	4	no	—
1197	C₂×Q₈	—	2	2	no	—
1198	C₂×Q₈	—	2	4	no	—
1199	C₂×Q₈	—	2	2	no	—
1200	C₂×Q₈	—	2	2	no	—
1201	C₂×Q₈	—	2	2	no	—
1202	C₂×Q₈	—	4	4	no	—
1203	C₂×Q₈	—	4	2	no	—
1204	C₂×Q₈	—	4	2	no	—
1205	C₂×Q₈	—	4	1	no	—
1206	C₂×Q₈	—	4	1	no	—
1207	C₂×Q₈	—	4	4	no	—
1208	C₂×Q₈	—	4	4	no	—
1209	C₂×Q₈	C₂×D₄×C₁₃	1	4	yes	complemented
1210	C₂×Q₈	C₂⁴×C₁₃	1	2	yes	—
1211	C₂×Q₈	C₂⁴×C₁₃	1	1	yes	characteristic
1212	C₂×Q₈	C₂⁴×C₁₃	1	1	yes	characteristic
1213	C₂×Q₈	C₂⁴×C₁₃	1	2	yes	—
1214	C₂×Q₈	C₂⁴×C₁₃	1	1	yes	characteristic
1215	C₂×D₄	—	2	1	no	—
1216	C₂×D₄	—	2	2	no	—
1217	C₂×D₄	—	2	2	no	—
1218	C₂×D₄	—	2	1	no	—
1219	C₂×D₄	—	2	1	no	—
1220	C₂×D₄	—	2	2	no	—
1221	C₂×D₄	—	2	2	no	—
1222	C₂×D₄	—	2	1	no	—
1223	C₂×D₄	—	2	1	no	—
1224	C₂×D₄	—	2	1	no	—
1225	C₂×D₄	—	2	1	no	—
1226	C₂×D₄	—	2	2	no	—
1227	C₂×D₄	—	2	2	no	—
1228	C₂×D₄	—	2	1	no	—
1229	C₂×D₄	—	2	1	no	—
1230	C₂×D₄	—	2	1	no	—
1231	C₂×D₄	—	2	1	no	—
1232	C₂×D₄	—	2	2	no	—
1233	C₂×D₄	—	2	1	no	—
1234	C₂×D₄	—	2	1	no	—
1235	C₂×D₄	—	2	1	no	—
1236	C₂×D₄	—	2	1	no	—
1237	C₂×D₄	—	2	1	no	—
1238	C₂×D₄	—	2	2	no	—
1239	C₂×D₄	—	4	1	no	—
1240	C₂×D₄	—	4	1	no	—
1241	C₂×D₄	—	4	4	no	—
1242	C₂×D₄	—	4	2	no	—
1243	C₂×D₄	—	4	4	no	—
1244	C₂×D₄	—	4	4	no	—
1245	C₂×D₄	—	4	4	no	—
1246	C₂×D₄	—	4	4	no	—
1247	C₂×D₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1248	C₂×D₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1249	C₂×D₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1250	C₂×D₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1251	C₂×D₄	C₂⁴×C₁₃	1	2	yes	—
1252	C₂×D₄	C₂⁴×C₁₃	1	1	yes	characteristic
1253	C₂×D₄	C₂⁴×C₁₃	1	1	yes	characteristic
1254	C₂×D₄	C₂⁴×C₁₃	1	1	yes	characteristic
1255	C₂²×C₄	—	2	1	no	—
1256	C₂²×C₄	—	2	1	no	—
1257	C₂²×C₄	—	2	2	no	—
1258	C₂²×C₄	—	2	2	no	—
1259	C₂²×C₄	—	2	2	no	—
1260	C₂²×C₄	—	2	2	no	—
1261	C₂²×C₄	—	2	1	no	—
1262	C₂²×C₄	—	2	1	no	—
1263	C₂²×C₄	—	2	2	no	—
1264	C₂²×C₄	—	2	2	no	—
1265	C₂²×C₄	—	2	1	no	—
1266	C₂²×C₄	—	2	1	no	—
1267	C₂²×C₄	—	2	1	no	—
1268	C₂²×C₄	—	2	1	no	—
1269	C₂²×C₄	—	2	1	no	—
1270	C₂²×C₄	—	2	1	no	—
1271	C₂²×C₄	—	2	1	no	—
1272	C₂²×C₄	—	2	1	no	—
1273	C₂²×C₄	—	2	1	no	—
1274	C₂²×C₄	—	2	2	no	—
1275	C₂²×C₄	—	2	2	no	—
1276	C₂²×C₄	—	2	1	no	—
1277	C₂²×C₄	—	4	4	no	—
1278	C₂²×C₄	—	4	4	no	—
1279	C₂²×C₄	—	4	4	no	—
1280	C₂²×C₄	—	4	4	no	—
1281	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1282	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1283	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1284	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1285	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1286	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1287	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1288	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1289	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1290	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1291	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1292	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1293	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1294	Q₁₆	—	2	4	no	—
1295	Q₁₆	—	2	4	no	—
1296	Q₁₆	—	2	4	no	—
1297	Q₁₆	—	2	4	no	—
1298	Q₁₆	—	4	2	no	—
1299	Q₁₆	C₂×D₄×C₁₃	1	8	yes	complemented
1300	SD₁₆	—	2	4	no	—
1301	SD₁₆	—	2	4	no	—
1302	SD₁₆	—	2	4	no	—
1303	SD₁₆	—	2	4	no	—
1304	SD₁₆	—	2	4	no	—
1305	SD₁₆	—	2	4	no	—
1306	SD₁₆	—	4	2	no	—
1307	SD₁₆	—	4	2	no	—
1308	SD₁₆	C₂×D₄×C₁₃	1	8	yes	complemented
1309	D₈	—	2	4	no	—
1310	D₈	—	2	4	no	—
1311	D₈	—	4	2	no	—
1312	M₁₆	—	2	2	no	—
1313	M₁₆	—	2	2	no	—
1314	M₁₆	—	2	2	no	—
1315	M₁₆	—	2	4	no	—
1316	M₁₆	—	2	4	no	—
1317	M₁₆	C₂×D₄×C₁₃	1	4	yes	complemented
1318	C₂×C₈	—	2	4	no	—
1319	C₂×C₈	—	2	4	no	—
1320	C₂×C₈	C₂⁴×C₁₃	1	2	yes	—
1321	C₂×C₈	C₂⁴×C₁₃	1	2	yes	—
1322	C₂×C₈	C₂⁴×C₁₃	1	2	yes	—
1323	C₂×C₈	C₂⁴×C₁₃	1	2	yes	—
1324	C₄⋊C₄	—	2	1	no	—
1325	C₄⋊C₄	—	2	2	no	—
1326	C₄⋊C₄	—	2	2	no	—
1327	C₄⋊C₄	—	2	1	no	—
1328	C₄⋊C₄	—	2	1	no	—
1329	C₄⋊C₄	—	2	2	no	—
1330	C₄⋊C₄	—	2	2	no	—
1331	C₄⋊C₄	—	2	1	no	—
1332	C₄⋊C₄	—	2	1	no	—
1333	C₄⋊C₄	—	2	1	no	—
1334	C₄⋊C₄	—	2	1	no	—
1335	C₄⋊C₄	—	2	1	no	—
1336	C₄⋊C₄	—	2	1	no	—
1337	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1338	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1339	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1340	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1341	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
1342	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1343	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1344	C₂²⋊C₄	—	2	1	no	—
1345	C₂²⋊C₄	—	2	1	no	—
1346	C₂²⋊C₄	—	2	2	no	—
1347	C₂²⋊C₄	—	2	2	no	—
1348	C₂²⋊C₄	—	2	1	no	—
1349	C₂²⋊C₄	—	2	1	no	—
1350	C₂²⋊C₄	—	2	1	no	—
1351	C₂²⋊C₄	—	2	1	no	—
1352	C₂²⋊C₄	—	2	1	no	—
1353	C₂²⋊C₄	—	2	1	no	—
1354	C₂²⋊C₄	—	2	1	no	—
1355	C₂²⋊C₄	—	2	2	no	—
1356	C₂²⋊C₄	—	2	2	no	—
1357	C₂²⋊C₄	—	2	2	no	—
1358	C₂²⋊C₄	—	2	2	no	—
1359	C₂²⋊C₄	—	2	2	no	—
1360	C₂²⋊C₄	—	2	2	no	—
1361	C₂²⋊C₄	—	2	1	no	—
1362	C₂²⋊C₄	—	2	1	no	—
1363	C₂²⋊C₄	—	2	1	no	—
1364	C₂²⋊C₄	—	2	1	no	—
1365	C₂²⋊C₄	—	2	1	no	—
1366	C₂²⋊C₄	—	2	1	no	—
1367	C₂²⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1368	C₂²⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1369	C₂²⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1370	C₂²⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1371	C₂²⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1372	C₂²⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1373	C₂²⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1374	C₂²⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1375	C₄²	—	2	1	no	—
1376	C₄²	—	2	1	no	—
1377	C₄²	—	2	1	no	—
1378	C₄²	—	2	2	no	—
1379	C₄²	—	2	2	no	—
1380	C₄²	C₂×D₄×C₁₃	1	1	yes	characteristic
1381	C₄²	C₂×D₄×C₁₃	1	1	yes	characteristic
1382	C₄²	C₂⁴×C₁₃	1	1	yes	characteristic
1383	C₄²	C₂⁴×C₁₃	1	1	yes	characteristic
1384	C₁₃	#61068	1	1	yes	characteristic, direct product factor, Sylow
1385	C₂³	—	2	2	no	—
1386	C₂³	—	2	2	no	—
1387	C₂³	—	2	1	no	—
1388	C₂³	—	2	2	no	—
1389	C₂³	—	2	2	no	—
1390	C₂³	—	2	1	no	—
1391	C₂³	—	2	1	no	—
1392	C₂³	—	4	1	no	—
1393	C₂³	—	4	1	no	—
1394	C₂³	—	4	1	no	—
1395	C₂³	—	4	2	no	—
1396	C₂³	—	4	2	no	—
1397	C₂³	—	4	2	no	—
1398	C₂³	—	4	2	no	—
1399	C₂³	—	4	2	no	—
1400	C₂³	—	4	2	no	—
1401	C₂³	—	4	2	no	—
1402	C₂³	—	8	1	no	—
1403	C₂³	—	8	1	no	—
1404	C₂³	C₂²×D₄×C₁₃	1	1	yes	characteristic
1405	C₂³	C₂²×D₄×C₁₃	1	1	yes	characteristic
1406	C₂³	C₂²×D₄×C₁₃	1	1	yes	characteristic
1407	C₂³	C₂²×D₄×C₁₃	1	1	yes	characteristic
1408	C₂³	C₂²×D₄×C₁₃	1	1	yes	characteristic
1409	Q₈	—	2	4	no	—
1410	Q₈	—	2	2	no	—
1411	Q₈	—	2	1	no	—
1412	Q₈	—	2	2	no	—
1413	Q₈	—	2	1	no	—
1414	Q₈	—	2	1	no	—
1415	Q₈	—	2	1	no	—
1416	Q₈	—	2	2	no	—
1417	Q₈	—	2	1	no	—
1418	Q₈	—	4	4	no	—
1419	Q₈	—	4	4	no	—
1420	Q₈	—	4	2	no	—
1421	Q₈	—	4	2	no	—
1422	Q₈	—	4	2	no	—
1423	Q₈	C₂²×D₄×C₁₃	1	4	yes	—
1424	Q₈	C₂²×D₄×C₁₃	1	2	yes	—
1425	D₄	—	2	4	no	—
1426	D₄	—	2	2	no	—
1427	D₄	—	2	2	no	—
1428	D₄	—	2	2	no	—
1429	D₄	—	2	1	no	—
1430	D₄	—	2	1	no	—
1431	D₄	—	2	1	no	—
1432	D₄	—	2	1	no	—
1433	D₄	—	2	2	no	—
1434	D₄	—	2	1	no	—
1435	D₄	—	4	1	no	—
1436	D₄	—	4	1	no	—
1437	D₄	—	4	2	no	—
1438	D₄	—	4	2	no	—
1439	D₄	—	4	2	no	—
1440	D₄	—	4	2	no	—
1441	D₄	—	4	4	no	—
1442	D₄	—	4	4	no	—
1443	D₄	—	4	2	no	—
1444	D₄	—	4	2	no	—
1445	D₄	—	4	2	no	—
1446	D₄	—	4	2	no	—
1447	D₄	—	4	4	no	—
1448	D₄	—	4	2	no	—
1449	D₄	—	4	2	no	—
1450	D₄	—	4	2	no	—
1451	D₄	—	4	4	no	—
1452	D₄	—	4	2	no	—
1453	D₄	—	8	1	no	—
1454	D₄	—	8	1	no	—
1455	D₄	—	8	1	no	—
1456	D₄	C₂²×D₄×C₁₃	1	2	yes	—
1457	C₂×C₄	—	2	2	no	—
1458	C₂×C₄	—	2	2	no	—
1459	C₂×C₄	—	2	4	no	—
1460	C₂×C₄	—	2	1	no	—
1461	C₂×C₄	—	2	2	no	—
1462	C₂×C₄	—	2	2	no	—
1463	C₂×C₄	—	2	2	no	—
1464	C₂×C₄	—	2	2	no	—
1465	C₂×C₄	—	2	2	no	—
1466	C₂×C₄	—	2	4	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	2	no	—
1478	C₂×C₄	—	2	2	no	—
1479	C₂×C₄	—	2	1	no	—
1480	C₂×C₄	—	2	1	no	—
1481	C₂×C₄	—	4	1	no	—
1482	C₂×C₄	—	4	1	no	—
1483	C₂×C₄	—	4	2	no	—
1484	C₂×C₄	—	4	4	no	—
1485	C₂×C₄	—	4	4	no	—
1486	C₂×C₄	—	4	2	no	—
1487	C₂×C₄	—	4	2	no	—
1488	C₂×C₄	—	4	2	no	—
1489	C₂×C₄	—	4	4	no	—
1490	C₂×C₄	—	4	4	no	—
1491	C₂×C₄	—	4	2	no	—
1492	C₂×C₄	—	4	2	no	—
1493	C₂×C₄	—	4	2	no	—
1494	C₂×C₄	—	4	2	no	—
1495	C₂×C₄	—	4	2	no	—
1496	C₂×C₄	—	4	2	no	—
1497	C₂×C₄	—	4	2	no	—
1498	C₂×C₄	—	8	1	no	—
1499	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1500	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1501	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1502	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1503	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1504	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1505	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1506	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1507	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1508	C₂×C₄	C₂²×D₄×C₁₃	1	2	yes	—
1509	C₂×C₄	C₁₃×H(5,𝔽₂)	1	2	yes	—
1510	C₂×C₄	C₂⁵×C₁₃	1	1	yes	characteristic
1511	C₈	—	2	2	no	—
1512	C₈	—	2	2	no	—
1513	C₈	—	2	2	no	—
1514	C₈	C₂²×D₄×C₁₃	1	4	yes	—
1515	C₂²	—	2	1	no	—
1516	C₂²	—	2	1	no	—
1517	C₂²	—	2	1	no	—
1518	C₂²	—	2	1	no	—
1519	C₂²	—	2	1	no	—
1520	C₂²	—	2	1	no	—
1521	C₂²	—	2	1	no	—
1522	C₂²	—	2	1	no	—
1523	C₂²	—	2	1	no	—
1524	C₂²	—	2	1	no	—
1525	C₂²	—	2	1	no	—
1526	C₂²	—	2	1	no	—
1527	C₂²	—	2	1	no	—
1528	C₂²	—	2	2	no	—
1529	C₂²	—	4	4	no	—
1530	C₂²	—	4	1	no	—
1531	C₂²	—	4	1	no	—
1532	C₂²	—	4	1	no	—
1533	C₂²	—	4	1	no	—
1534	C₂²	—	4	2	no	—
1535	C₂²	—	4	1	no	—
1536	C₂²	—	4	1	no	—
1537	C₂²	—	4	2	no	—
1538	C₂²	—	4	2	no	—
1539	C₂²	—	4	1	no	—
1540	C₂²	—	4	1	no	—
1541	C₂²	—	8	2	no	—
1542	C₂²	—	8	4	no	—
1543	C₂²	—	8	4	no	—
1544	C₂²	—	8	4	no	—
1545	C₂²	D₄²×C₁₃	1	2	yes	—
1546	C₂²	C₁₃×#575	1	2	yes	complemented
1547	C₂²	C₂³×D₄×C₁₃	1	1	yes	characteristic
1548	C₄	—	2	1	no	—
1549	C₄	—	2	1	no	—
1550	C₄	—	2	1	no	—
1551	C₄	—	2	1	no	—
1552	C₄	—	2	1	no	—
1553	C₄	—	2	1	no	—
1554	C₄	—	2	1	no	—
1555	C₄	—	2	1	no	—
1556	C₄	—	2	2	no	—
1557	C₄	—	2	4	no	—
1558	C₄	—	4	1	no	—
1559	C₄	—	4	2	no	—
1560	C₄	—	4	1	no	—
1561	C₄	—	4	1	no	—
1562	C₄	—	4	1	no	—
1563	C₄	—	4	2	no	—
1564	C₄	D₄²×C₁₃	1	2	yes	—
1565	C₄	C₂³×D₄×C₁₃	1	1	yes	characteristic
1566	C₄	C₂×C₁₃×H(5,𝔽₂)	1	1	yes	characteristic
1567	C₂	—	2	2	no	—
1568	C₂	—	2	2	no	—
1569	C₂	—	4	1	no	—
1570	C₂	—	4	1	no	—
1571	C₂	—	4	1	no	—
1572	C₂	—	4	2	no	—
1573	C₂	—	8	1	no	—
1574	C₂	—	8	1	no	—
1575	C₂	—	8	2	no	—
1576	C₂	C₂×D₄²×C₁₃	1	1	yes	characteristic
1577	C₂	C₂×C₁₃×#575	1	1	yes	characteristic
1578	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 ◁ C₂×C₄×D₄×C₁₃ ◁ G

Complements

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

N	H ≅ G/N	type
1. C₂×C₁₃×#575	C₂	semidirect
2. C₂²×C₁₃×#137	C₂	semidirect
3. D₄×C₁₃×#41	C₂	semidirect
4. C₂×C₁₃×#548	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×#3269	C₂	semidirect
12. C₁₃×#3265	C₂	semidirect
13. C₁₃×#3153	C₂	semidirect
14. C₁₃×#3056	C₂	semidirect
15. C₁₃×#3055	C₂	semidirect
16. C₁₃×#3040	C₂	semidirect
17. C₁₃×#3037	C₂	semidirect
18. C₁₃×#3007	C₂	semidirect
19. C₁₃×#3006	C₂	semidirect
20. C₁₃×#3005	C₂	semidirect
21. C₁₃×#3004	C₂	semidirect
22. C₄×C₁₃×#137	C₂	semidirect
23. D₄×C₁₃×M₁₆	C₂	semidirect
26. C₂²×C₁₃×#41	C₂²	semidirect
27. C₂³×Q₈×C₁₃	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
36. C₂×C₁₃×#137	C₂²	semidirect
37. C₂×C₁₃×#137	C₂²	semidirect
38. C₂×C₁₃×#137	C₂²	semidirect
40. C₂×C₁₃×AGL(1,ℤ/8)	C₂²	semidirect
41. C₂×C₁₃×AGL(1,ℤ/8)	C₂²	semidirect
42. C₂×C₁₃×AGL(1,ℤ/8)	C₂²	semidirect
43. C₂×C₁₃×#135	C₂²	semidirect
44. C₂×C₁₃×#135	C₂²	semidirect
45. C₂²×C₁₃×Q₁₆	C₂²	semidirect
46. C₂²×C₁₃×SD₁₆	C₂²	semidirect
47. C₂²×C₁₃×M₁₆	C₂²	semidirect
48. C₂²×C₁₃×M₁₆	C₂²	semidirect
49. C₁₃×#550	C₂²	semidirect
50. D₄×Q₈×C₁₃	C₂²	semidirect
56. C₁₃×#548	C₂²	semidirect
57. C₁₃×#548	C₂²	semidirect
58. C₁₃×#548	C₂²	semidirect
59. C₁₃×#548	C₂²	semidirect
60. C₁₃×#548	C₂²	semidirect
62. C₁₃×#547	C₂²	semidirect
65. C₁₃×#546	C₂²	semidirect
66. C₁₃×#546	C₂²	semidirect
68. D₄²×C₁₃	C₂²	semidirect
72. C₂×C₁₃×#124	C₂²	semidirect
78. C₂×C₁₃×C₂²⋊Q₈	C₂²	semidirect
80. C₂×C₁₃×#121	C₂²	semidirect
82. C₂×C₄×Q₈×C₁₃	C₂²	semidirect
86. C₁₃×#497	C₂²	semidirect
87. C₁₃×#496	C₂²	semidirect
88. C₁₃×#495	C₂²	semidirect
89. C₁₃×#495	C₂²	semidirect
90. C₁₃×#470	C₂²	semidirect
91. C₁₃×#469	C₂²	semidirect
92. C₁₃×#468	C₂²	semidirect
93. C₁₃×#468	C₂²	semidirect
94. C₁₃×#467	C₂²	semidirect
95. C₁₃×#466	C₂²	semidirect
96. C₁₃×#465	C₂²	semidirect
97. C₁₃×#465	C₂²	semidirect
98. C₁₃×#464	C₂²	semidirect
99. C₁₃×#464	C₂²	semidirect
100. C₁₃×#464	C₂²	semidirect
101. C₁₃×#464	C₂²	semidirect
102. C₁₃×#463	C₂²	semidirect
103. C₁₃×#463	C₂²	semidirect
104. C₁₃×#462	C₂²	semidirect
105. C₁₃×#460	C₂²	semidirect
106. C₁₃×#452	C₂²	semidirect
107. C₁₃×#452	C₂²	semidirect
108. C₁₃×#452	C₂²	semidirect
109. C₁₃×#452	C₂²	semidirect
110. C₁₃×#451	C₂²	semidirect
111. C₁₃×#451	C₂²	semidirect
112. C₁₃×#451	C₂²	semidirect
113. C₁₃×#450	C₂²	semidirect
114. C₁₃×#449	C₂²	semidirect
115. C₁₃×#449	C₂²	semidirect
116. C₁₃×#449	C₂²	semidirect
117. C₁₃×#449	C₂²	semidirect
118. C₁₃×#448	C₂²	semidirect
119. C₁₃×#448	C₂²	semidirect
120. C₁₃×#448	C₂²	semidirect
121. C₁₃×#447	C₂²	semidirect
122. C₁₃×#441	C₂²	semidirect
123. C₁₃×#440	C₂²	semidirect
124. C₄×C₁₃×Q₁₆	C₂²	semidirect
125. C₄×C₁₃×SD₁₆	C₂²	semidirect
126. C₁₃×#436	C₂²	semidirect
127. C₁₃×#435	C₂²	semidirect
128. C₁₃×#435	C₂²	semidirect
129. C₈×D₄×C₁₃	C₂²	semidirect
130. C₁₃×#428	C₂²	semidirect
131. C₁₃×#423	C₂²	semidirect
132. C₁₃×#419	C₂²	semidirect
133. C₁₃×#419	C₂²	semidirect
134. C₁₃×#418	C₂²	semidirect
136. C₁₃×#417	C₂²	semidirect
137. C₁₃×#417	C₂²	semidirect
138. C₁₃×#407	C₂²	semidirect
139. C₁₃×#407	C₂²	semidirect
140. C₄×C₁₃×M₁₆	C₂²	semidirect
196. C₁₃×#137	D₄	semidirect
371. #61068	C₁₃	direct (N × H)
421. C₂×Q₈×C₁₃	C₂×D₄	semidirect
511. C₁₃×Q₁₆	C₂×D₄	semidirect
520. C₁₃×SD₁₆	C₂×D₄	semidirect
529. C₁₃×M₁₆	C₂×D₄	semidirect
596. C₂×#575	C₂×C₁₃	semidirect
597. C₂²×#137	C₂×C₁₃	semidirect
598. D₄×#41	C₂×C₁₃	semidirect
599. C₂×#548	C₂×C₁₃	semidirect
600. #3285	C₂×C₁₃	semidirect
601. #3282	C₂×C₁₃	semidirect
602. #3277	C₂×C₁₃	semidirect
603. #3275	C₂×C₁₃	semidirect
604. #3271	C₂×C₁₃	semidirect
605. #3270	C₂×C₁₃	semidirect
606. #3269	C₂×C₁₃	semidirect
607. #3265	C₂×C₁₃	semidirect
608. #3153	C₂×C₁₃	semidirect
609. #3056	C₂×C₁₃	semidirect
610. #3055	C₂×C₁₃	semidirect
611. #3040	C₂×C₁₃	semidirect
612. #3037	C₂×C₁₃	semidirect
613. #3007	C₂×C₁₃	semidirect
614. #3006	C₂×C₁₃	semidirect
615. #3005	C₂×C₁₃	semidirect
616. #3004	C₂×C₁₃	semidirect
617. C₄×#137	C₂×C₁₃	semidirect
618. D₄×M₁₆	C₂×C₁₃	semidirect
751. C₂²×#41	C₂²×C₁₃	semidirect
752. C₂³×Q₈	C₂²×C₁₃	semidirect
757. C₂×#137	C₂²×C₁₃	semidirect
758. C₂×#137	C₂²×C₁₃	semidirect
759. C₂×#137	C₂²×C₁₃	semidirect
760. C₂×#137	C₂²×C₁₃	semidirect
761. C₂×#137	C₂²×C₁₃	semidirect
762. C₂×#137	C₂²×C₁₃	semidirect
763. C₂×#137	C₂²×C₁₃	semidirect
765. C₂×AGL(1,ℤ/8)	C₂²×C₁₃	semidirect
766. C₂×AGL(1,ℤ/8)	C₂²×C₁₃	semidirect
767. C₂×AGL(1,ℤ/8)	C₂²×C₁₃	semidirect
768. C₂×#135	C₂²×C₁₃	semidirect
769. C₂×#135	C₂²×C₁₃	semidirect
770. C₂²×Q₁₆	C₂²×C₁₃	semidirect
771. C₂²×SD₁₆	C₂²×C₁₃	semidirect
772. C₂²×M₁₆	C₂²×C₁₃	semidirect
773. C₂²×M₁₆	C₂²×C₁₃	semidirect
774. #550	C₂²×C₁₃	semidirect
775. D₄×Q₈	C₂²×C₁₃	semidirect
781. #548	C₂²×C₁₃	semidirect
782. #548	C₂²×C₁₃	semidirect
783. #548	C₂²×C₁₃	semidirect
784. #548	C₂²×C₁₃	semidirect
785. #548	C₂²×C₁₃	semidirect
787. #547	C₂²×C₁₃	semidirect
790. #546	C₂²×C₁₃	semidirect
791. #546	C₂²×C₁₃	semidirect
793. D₄²	C₂²×C₁₃	semidirect
797. C₂×#124	C₂²×C₁₃	semidirect
803. C₂×C₂²⋊Q₈	C₂²×C₁₃	semidirect
805. C₂×#121	C₂²×C₁₃	semidirect
807. C₂×C₄×Q₈	C₂²×C₁₃	semidirect
811. #497	C₂²×C₁₃	semidirect
812. #496	C₂²×C₁₃	semidirect
813. #495	C₂²×C₁₃	semidirect
814. #495	C₂²×C₁₃	semidirect
815. #470	C₂²×C₁₃	semidirect
816. #469	C₂²×C₁₃	semidirect
817. #468	C₂²×C₁₃	semidirect
818. #468	C₂²×C₁₃	semidirect
819. #467	C₂²×C₁₃	semidirect
820. #466	C₂²×C₁₃	semidirect
821. #465	C₂²×C₁₃	semidirect
822. #465	C₂²×C₁₃	semidirect
823. #464	C₂²×C₁₃	semidirect
824. #464	C₂²×C₁₃	semidirect
825. #464	C₂²×C₁₃	semidirect
826. #464	C₂²×C₁₃	semidirect
827. #463	C₂²×C₁₃	semidirect
828. #463	C₂²×C₁₃	semidirect
829. #462	C₂²×C₁₃	semidirect
830. #460	C₂²×C₁₃	semidirect
831. #452	C₂²×C₁₃	semidirect
832. #452	C₂²×C₁₃	semidirect
833. #452	C₂²×C₁₃	semidirect
834. #452	C₂²×C₁₃	semidirect
835. #451	C₂²×C₁₃	semidirect
836. #451	C₂²×C₁₃	semidirect
837. #451	C₂²×C₁₃	semidirect
838. #450	C₂²×C₁₃	semidirect
839. #449	C₂²×C₁₃	semidirect
840. #449	C₂²×C₁₃	semidirect
841. #449	C₂²×C₁₃	semidirect
842. #449	C₂²×C₁₃	semidirect
843. #448	C₂²×C₁₃	semidirect
844. #448	C₂²×C₁₃	semidirect
845. #448	C₂²×C₁₃	semidirect
846. #447	C₂²×C₁₃	semidirect
847. #441	C₂²×C₁₃	semidirect
848. #440	C₂²×C₁₃	semidirect
849. C₄×Q₁₆	C₂²×C₁₃	semidirect
850. C₄×SD₁₆	C₂²×C₁₃	semidirect
851. #436	C₂²×C₁₃	semidirect
852. #435	C₂²×C₁₃	semidirect
853. #435	C₂²×C₁₃	semidirect
854. C₈×D₄	C₂²×C₁₃	semidirect
855. #428	C₂²×C₁₃	semidirect
856. #423	C₂²×C₁₃	semidirect
857. #419	C₂²×C₁₃	semidirect
858. #419	C₂²×C₁₃	semidirect
859. #418	C₂²×C₁₃	semidirect
861. #417	C₂²×C₁₃	semidirect
862. #417	C₂²×C₁₃	semidirect
863. #407	C₂²×C₁₃	semidirect
864. #407	C₂²×C₁₃	semidirect
865. C₄×M₁₆	C₂²×C₁₃	semidirect
897. C₂²×C₁₃	#575	semidirect
973. #137	D₄×C₁₃	semidirect
1209. C₂×Q₈	C₂×D₄×C₁₃	semidirect
1299. Q₁₆	C₂×D₄×C₁₃	semidirect
1308. SD₁₆	C₂×D₄×C₁₃	semidirect
1317. M₁₆	C₂×D₄×C₁₃	semidirect
1384. C₁₃	#61068	direct (N × H)
1546. C₂²	C₁₃×#575	semidirect

Maximal subgroups

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

subgroup	index
C₂×C₁₃×#575	2
C₂²×C₁₃×#137	2
D₄×C₁₃×#41	2
C₂×C₁₃×#548	2
C₁₃×#3285	2
C₁₃×#3282	2
C₁₃×#3277	2
C₁₃×#3275	2
C₁₃×#3271	2
C₁₃×#3270	2
C₁₃×#3269	2
C₁₃×#3265	2
C₁₃×#3153	2
C₁₃×#3056	2
C₁₃×#3055	2
C₁₃×#3040	2
C₁₃×#3037	2
C₁₃×#3007	2
C₁₃×#3006	2
C₁₃×#3005	2
C₁₃×#3004	2
C₄×C₁₃×#137	2
D₄×C₁₃×M₁₆	2
#61068	13

Subgroups — C13×#61068 #15747407

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₃×#61068 #15747407