Subgroups — C₁₃×#61989 #15748328

Order 3328.

2138 conjugacy classes of subgroups.

The subgroup lattice has 1230 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₁₃×#3514	C₂	1	1	yes	maximal, characteristic, complemented
2	D₄×C₁₃×#41	C₂	1	1	yes	maximal, characteristic, complemented
3	C₁₃×#3399	C₂	1	1	yes	maximal, characteristic, complemented
4	C₁₃×#3397	C₂	1	1	yes	maximal, characteristic, complemented
5	C₁₃×#3373	C₂	1	1	yes	maximal, characteristic, complemented
6	C₁₃×#3367	C₂	1	1	yes	maximal, characteristic, complemented
7	C₁₃×#3308	C₂	1	2	yes	maximal, complemented
8	C₁₃×#3306	C₂	1	2	yes	maximal, complemented
9	C₁₃×#3298	C₂	1	1	yes	maximal, characteristic, complemented
10	C₁₃×#3294	C₂	1	1	yes	maximal, characteristic, complemented
11	D₄×C₁₃×SD₁₆	C₂	1	1	yes	maximal, characteristic, complemented
12	D₄×C₁₃×D₈	C₂	1	1	yes	maximal, characteristic, complemented
13	C₁₃×#3265	C₂	1	2	yes	maximal, complemented
14	C₁₃×#3264	C₂	1	2	yes	maximal, complemented
15	C₁₃×#3251	C₂	1	1	yes	maximal, characteristic, complemented
16	C₁₃×#3247	C₂	1	2	yes	maximal, complemented
17	C₁₃×#3213	C₂	1	2	yes	maximal, complemented
18	C₁₃×#3207	C₂	1	1	yes	maximal, characteristic, complemented
19	C₁₃×#3114	C₂	1	2	yes	maximal, complemented
20	C₁₃×#3105	C₂	1	1	yes	maximal, characteristic, complemented
21	C₁₃×#3036	C₂	1	1	yes	maximal, characteristic, complemented
22	C₂×C₁₃×#463	C₂	1	2	yes	maximal, complemented
23	C₁₃×#2990	C₂	1	1	yes	maximal, characteristic, complemented
24	C₂²×C₁₃×#41	—	2	1	no	—
25	C₂×C₁₃×AGL(1,ℤ/8)	C₂²	1	2	yes	complemented
26	C₂²×C₁₃×SD₁₆	C₂²	1	2	yes	complemented
27	C₂²×C₁₃×D₈	C₂²	1	2	yes	—
28	C₁₃×#559	C₂²	1	1	yes	characteristic, complemented
29	C₁₃×#556	C₂²	1	1	yes	characteristic, complemented
30	C₁₃×#555	—	2	1	no	—
31	C₁₃×#551	—	2	2	no	—
32	C₁₃×#550	C₂²	1	1	yes	characteristic, complemented
33	D₄×Q₈×C₁₃	C₂²	1	1	yes	characteristic, complemented
34	D₄×Q₈×C₁₃	C₂²	1	1	yes	characteristic, complemented
35	C₁₃×#548	—	2	1	no	—
36	C₁₃×#548	C₂²	1	2	yes	complemented
37	C₁₃×#547	C₂²	1	1	yes	characteristic
38	C₁₃×#547	C₂²	1	2	yes	complemented
39	C₁₃×#546	—	2	1	no	—
40	C₁₃×#546	—	2	1	no	—
41	C₁₃×#546	—	2	2	no	—
42	C₁₃×#546	C₂²	1	2	yes	complemented
43	D₄²×C₁₃	C₂²	1	1	yes	characteristic
44	D₄²×C₁₃	C₂²	1	2	yes	complemented
45	D₄²×C₁₃	C₂²	1	1	yes	characteristic, complemented
46	C₁₃×#542	—	2	1	no	—
47	C₁₃×#538	—	2	2	no	—
48	C₁₃×#532	C₂²	1	1	yes	characteristic, complemented
49	C₁₃×#532	C₂²	1	1	yes	characteristic, complemented
50	C₁₃×#532	C₂²	1	2	yes	complemented
51	C₁₃×#529	C₂²	1	1	yes	characteristic, complemented
52	C₁₃×#529	C₂²	1	2	yes	complemented
53	C₂×C₁₃×#124	C₂²	1	2	yes	complemented
54	C₁₃×#525	—	2	2	no	—
55	C₁₃×#525	—	2	1	no	—
56	C₁₃×#518	—	2	1	no	—
57	C₄×C₁₃×#41	C₂²	1	1	yes	characteristic
58	C₂×C₄×D₄×C₁₃	C₂²	1	2	yes	complemented
59	C₂×C₄×D₄×C₁₃	C₂²	1	1	yes	characteristic, complemented
60	C₁₃×#496	C₂²	1	2	yes	complemented
61	C₁₃×#496	C₂²	1	2	yes	complemented
62	C₁₃×#493	C₂²	1	1	yes	characteristic, complemented
63	C₁₃×#492	C₂²	1	1	yes	characteristic, complemented
64	C₁₃×#489	C₂²	1	2	yes	complemented
65	C₁₃×#489	C₂²	1	2	yes	complemented
66	C₁₃×#487	C₂²	1	1	yes	characteristic, complemented
67	C₁₃×#486	C₂²	1	1	yes	characteristic, complemented
68	C₁₃×#484	C₂²	1	1	yes	characteristic, complemented
69	C₁₃×#483	C₂²	1	2	yes	complemented
70	C₁₃×#481	C₂²	1	1	yes	characteristic, complemented
71	C₁₃×#480	C₂²	1	2	yes	complemented
72	C₁₃×#478	C₂²	1	1	yes	characteristic, complemented
73	C₁₃×#478	C₂²	1	1	yes	characteristic, complemented
74	C₁₃×#478	C₂²	1	2	yes	complemented
75	C₁₃×#477	C₂²	1	2	yes	complemented
76	C₁₃×#476	C₂²	1	2	yes	complemented
77	C₁₃×#475	C₂²	1	1	yes	characteristic, complemented
78	C₁₃×#474	C₂²	1	1	yes	characteristic, complemented
79	C₁₃×#469	C₂²	1	2	yes	complemented
80	C₁₃×#468	C₂²	1	2	yes	complemented
81	C₁₃×#466	C₂²	1	2	yes	complemented
82	C₁₃×#466	C₂²	1	2	yes	complemented
83	C₁₃×#465	C₂²	1	2	yes	complemented
84	C₁₃×#465	C₂²	1	2	yes	complemented
85	C₁₃×#463	C₂²	1	2	yes	—
86	C₁₃×#463	C₂²	1	1	yes	characteristic
87	C₁₃×#463	C₂²	1	2	yes	complemented
88	C₁₃×#463	C₂²	1	2	yes	complemented
89	C₁₃×#463	C₂²	1	2	yes	complemented
90	C₁₃×#463	C₂²	1	2	yes	complemented
91	C₁₃×#463	C₂²	1	2	yes	complemented
92	C₁₃×#463	C₂²	1	2	yes	complemented
93	C₁₃×#463	C₂²	1	2	yes	complemented
94	C₁₃×#463	C₂²	1	1	yes	characteristic, complemented
95	C₁₃×#463	C₂²	1	2	yes	complemented
96	C₁₃×#461	C₂²	1	1	yes	characteristic, complemented
97	C₁₃×#461	C₂²	1	1	yes	characteristic, complemented
98	C₁₃×#460	C₂²	1	2	yes	complemented
99	C₁₃×#460	C₂²	1	1	yes	characteristic, complemented
100	C₁₃×#459	C₂²	1	1	yes	characteristic
101	C₁₃×#459	C₂²	1	2	yes	complemented
102	C₁₃×#459	C₂²	1	1	yes	characteristic, complemented
103	C₁₃×#459	C₂²	1	1	yes	characteristic, complemented
104	C₁₃×#450	C₂²	1	2	yes	complemented
105	C₁₃×#450	C₂²	1	1	yes	characteristic, complemented
106	C₁₃×#449	C₂²	1	2	yes	complemented
107	C₁₃×#449	C₂²	1	2	yes	complemented
108	C₁₃×#448	C₂²	1	2	yes	complemented
109	C₁₃×#448	C₂²	1	2	yes	complemented
110	C₁₃×#447	C₂²	1	1	yes	characteristic
111	C₁₃×#447	C₂²	1	2	yes	—
112	C₁₃×#447	C₂²	1	2	yes	complemented
113	C₁₃×#447	C₂²	1	2	yes	complemented
114	C₁₃×#446	C₂²	1	1	yes	characteristic, complemented
115	C₁₃×#446	C₂²	1	1	yes	characteristic, complemented
116	C₁₃×#442	C₂²	1	2	yes	complemented
117	C₁₃×#442	C₂²	1	2	yes	complemented
118	C₁₃×#440	C₂²	1	2	yes	complemented
119	C₁₃×#440	C₂²	1	2	yes	complemented
120	C₄×C₁₃×SD₁₆	C₂²	1	1	yes	characteristic, complemented
121	C₄×C₁₃×SD₁₆	C₂²	1	1	yes	characteristic, complemented
122	C₄×C₁₃×D₈	C₂²	1	1	yes	characteristic
123	C₄×C₁₃×D₈	C₂²	1	1	yes	characteristic, complemented
124	C₁₃×#435	C₂²	1	2	yes	complemented
125	C₁₃×#435	C₂²	1	2	yes	complemented
126	C₈×D₄×C₁₃	C₂²	1	1	yes	characteristic, complemented
127	C₈×D₄×C₁₃	C₂²	1	1	yes	characteristic, complemented
128	C₁₃×#432	C₂²	1	2	yes	complemented
129	C₁₃×#431	C₂²	1	1	yes	characteristic, complemented
130	C₁₃×#423	C₂²	1	1	yes	characteristic, complemented
131	C₂×C₁₃×C₄⋊C₈	C₂²	1	2	yes	complemented
132	C₁₃×#417	C₂²	1	2	yes	complemented
133	C₂×C₁₃×#103	C₂²	1	2	yes	complemented
134	C₂×C₁₃×#102	C₂²	1	2	yes	complemented
135	C₂×C₁₃×#41	—	2	1	no	—
136	C₂×C₁₃×#41	—	2	1	no	—
137	C₂×C₁₃×#41	—	2	2	no	—
138	C₂×C₁₃×#41	—	2	2	no	—
139	C₂×C₁₃×#41	—	2	1	no	—
140	C₂×C₁₃×#41	—	4	8	no	—
141	C₂×C₁₃×#41	D₄	1	1	yes	characteristic
142	C₂×C₁₃×#41	C₂³	1	2	yes	—
143	C₂²×Q₈×C₁₃	—	2	1	no	—
144	C₂²×Q₈×C₁₃	C₂³	1	2	yes	—
145	C₂²×D₄×C₁₃	—	2	1	no	—
146	C₂²×D₄×C₁₃	—	2	1	no	—
147	C₂²×D₄×C₁₃	—	2	2	no	—
148	C₂²×D₄×C₁₃	C₂³	1	2	yes	—
149	C₂²×D₄×C₁₃	C₂³	1	1	yes	characteristic
150	C₂²×D₄×C₁₃	C₂³	1	2	yes	—
151	C₂³×C₄×C₁₃	—	2	2	no	—
152	C₂³×C₄×C₁₃	—	2	1	no	—
153	C₁₃×AGL(1,ℤ/8)	—	4	4	no	—
154	C₂×C₁₃×SD₁₆	—	4	4	no	—
155	C₂×C₁₃×SD₁₆	C₂³	1	1	yes	characteristic
156	C₂×C₁₃×SD₁₆	C₂³	1	2	yes	—
157	C₂×C₁₃×SD₁₆	C₂³	1	1	yes	characteristic
158	C₂×C₁₃×SD₁₆	C₂³	1	2	yes	—
159	C₂×C₁₃×SD₁₆	C₂³	1	2	yes	—
160	C₂×C₁₃×SD₁₆	C₂³	1	2	yes	—
161	C₂×C₁₃×SD₁₆	C₂³	1	2	yes	—
162	C₂×C₁₃×D₈	—	4	4	no	—
163	C₂×C₁₃×D₈	C₂³	1	1	yes	characteristic
164	C₂×C₁₃×D₈	C₂³	1	2	yes	—
165	C₂×C₁₃×D₈	C₂³	1	1	yes	characteristic
166	C₂×C₁₃×D₈	C₂³	1	2	yes	—
167	C₂×C₁₃×D₈	C₂³	1	2	yes	—
168	C₂×C₁₃×D₈	C₂³	1	2	yes	—
169	C₂×C₁₃×D₈	C₂³	1	2	yes	—
170	C₂×C₁₃×M₁₆	C₂³	1	2	yes	—
171	C₂²×C₈×C₁₃	C₂³	1	2	yes	—
172	C₂²×C₈×C₁₃	C₂³	1	2	yes	—
173	C₁₃×C₄⋊Q₈	—	2	1	no	—
174	C₁₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
175	C₁₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
176	C₁₃×C₄⋊Q₈	C₂³	1	2	yes	—
177	C₁₃×#127	C₂³	1	1	yes	characteristic
178	C₁₃×#127	C₂³	1	1	yes	characteristic
179	C₁₃×#127	C₂³	1	2	yes	—
180	C₁₃×#126	—	2	2	no	—
181	C₁₃×#126	—	2	2	no	—
182	C₁₃×#126	—	2	1	no	—
183	C₁₃×#125	C₂³	1	1	yes	characteristic
184	C₁₃×#124	—	2	1	no	—
185	C₁₃×#124	—	2	2	no	—
186	C₁₃×#124	—	2	2	no	—
187	C₁₃×#124	—	2	2	no	—
188	C₁₃×#124	—	2	1	no	—
189	C₁₃×#124	—	2	2	no	—
190	C₁₃×#124	C₂³	1	1	yes	characteristic
191	C₁₃×#124	C₂³	1	2	yes	—
192	C₁₃×#124	C₂³	1	2	yes	—
193	C₁₃×#124	C₂³	1	2	yes	—
194	C₁₃×#123	—	2	1	no	—
195	C₁₃×#123	—	2	2	no	—
196	C₁₃×#123	—	2	2	no	—
197	C₁₃×#123	—	2	2	no	—
198	C₁₃×#123	—	2	2	no	—
199	C₁₃×#123	—	2	2	no	—
200	C₁₃×#123	—	2	2	no	—
201	C₁₃×C₂²⋊Q₈	—	2	1	no	—
202	C₁₃×C₂²⋊Q₈	—	2	1	no	—
203	C₁₃×C₂²⋊Q₈	—	2	2	no	—
204	C₁₃×C₂²⋊Q₈	—	2	1	no	—
205	C₁₃×C₂²⋊Q₈	—	2	2	no	—
206	C₁₃×C₂²⋊Q₈	—	2	2	no	—
207	C₁₃×C₂²⋊Q₈	—	2	2	no	—
208	C₁₃×C₂²⋊Q₈	C₂³	1	2	yes	—
209	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
210	C₁₃×#121	—	2	2	no	—
211	C₁₃×#121	—	2	1	no	—
212	C₁₃×#121	—	2	2	no	—
213	C₁₃×#121	—	2	1	no	—
214	C₁₃×#121	—	2	1	no	—
215	C₁₃×#121	—	2	1	no	—
216	C₁₃×#121	—	2	2	no	—
217	C₁₃×#121	—	2	1	no	—
218	C₁₃×#121	—	2	2	no	—
219	C₁₃×#121	—	2	1	no	—
220	C₁₃×#121	—	2	2	no	—
221	C₁₃×#121	C₂³	1	2	yes	—
222	C₁₃×#121	C₂³	1	1	yes	characteristic
223	C₁₃×#121	C₂³	1	2	yes	—
224	C₁₃×#121	C₂³	1	2	yes	—
225	C₁₃×#121	C₂³	1	2	yes	—
226	C₁₃×#120	—	2	2	no	—
227	C₁₃×#120	—	2	2	no	—
228	C₁₃×#120	—	2	2	no	—
229	C₁₃×#120	—	2	2	no	—
230	C₁₃×#120	—	2	2	no	—
231	C₄×Q₈×C₁₃	D₄	1	1	yes	characteristic
232	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
233	C₄×Q₈×C₁₃	C₂³	1	2	yes	—
234	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
235	C₄×D₄×C₁₃	—	2	1	no	—
236	C₄×D₄×C₁₃	—	2	2	no	—
237	C₄×D₄×C₁₃	—	2	1	no	—
238	C₄×D₄×C₁₃	—	2	1	no	—
239	C₄×D₄×C₁₃	—	2	2	no	—
240	C₄×D₄×C₁₃	—	2	2	no	—
241	C₄×D₄×C₁₃	—	2	1	no	—
242	C₄×D₄×C₁₃	—	2	1	no	—
243	C₄×D₄×C₁₃	—	2	2	no	—
244	C₄×D₄×C₁₃	—	2	1	no	—
245	C₄×D₄×C₁₃	—	2	2	no	—
246	C₄×D₄×C₁₃	—	2	1	no	—
247	C₄×D₄×C₁₃	—	2	1	no	—
248	C₄×D₄×C₁₃	D₄	1	1	yes	characteristic
249	C₄×D₄×C₁₃	D₄	1	2	yes	—
250	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
251	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
252	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
253	C₄×D₄×C₁₃	C₂³	1	2	yes	—
254	C₄×D₄×C₁₃	C₂³	1	2	yes	—
255	C₄×D₄×C₁₃	C₂³	1	2	yes	—
256	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
257	C₄×D₄×C₁₃	C₂³	1	2	yes	—
258	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
259	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
260	C₄×D₄×C₁₃	C₂³	1	2	yes	—
261	C₁₃×#117	—	2	1	no	—
262	C₁₃×#117	—	2	1	no	—
263	C₁₃×#117	—	2	2	no	—
264	C₁₃×#117	D₄	1	2	yes	—
265	C₁₃×#117	D₄	1	1	yes	characteristic
266	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
267	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
268	C₂×C₁₃×C₂²⋊C₄	—	2	2	no	—
269	C₂×C₁₃×C₂²⋊C₄	—	2	1	no	—
270	C₂×C₁₃×C₂²⋊C₄	—	2	2	no	—
271	C₂×C₁₃×C₂²⋊C₄	—	2	2	no	—
272	C₂×C₁₃×C₂²⋊C₄	—	2	2	no	—
273	C₂×C₄²×C₁₃	C₂³	1	2	yes	—
274	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
275	C₁₃×#107	C₂³	1	1	yes	characteristic
276	C₁₃×#107	C₂³	1	1	yes	characteristic
277	C₁₃×#107	C₂³	1	2	yes	—
278	C₁₃×#106	C₂³	1	1	yes	characteristic
279	C₁₃×#106	C₂³	1	1	yes	characteristic
280	C₁₃×#106	C₂³	1	2	yes	—
281	C₁₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
282	C₁₃×C₄⋊C₈	C₂³	1	2	yes	—
283	C₁₃×C₄⋊C₈	C₂³	1	2	yes	—
284	C₁₃×C₄⋊C₈	C₂³	1	2	yes	—
285	C₁₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
286	C₁₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
287	C₁₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
288	C₁₃×#103	C₂³	1	1	yes	characteristic
289	C₁₃×#103	C₂³	1	2	yes	—
290	C₁₃×#103	C₂³	1	2	yes	—
291	C₁₃×#103	C₂³	1	2	yes	—
292	C₁₃×#103	C₂³	1	2	yes	—
293	C₁₃×#103	C₂³	1	1	yes	characteristic
294	C₁₃×#103	C₂³	1	2	yes	—
295	C₁₃×#102	C₂³	1	1	yes	characteristic
296	C₁₃×#102	C₂³	1	2	yes	—
297	C₁₃×#102	C₂³	1	2	yes	—
298	C₁₃×#102	C₂³	1	2	yes	—
299	C₁₃×#102	C₂³	1	2	yes	—
300	C₁₃×#102	C₂³	1	1	yes	characteristic
301	C₁₃×#102	C₂³	1	1	yes	characteristic
302	C₁₃×#102	C₂³	1	1	yes	characteristic
303	C₁₃×#102	C₂³	1	1	yes	characteristic
304	C₁₃×#102	C₂³	1	1	yes	characteristic
305	C₁₃×#102	C₂³	1	2	yes	—
306	C₁₃×#102	C₂³	1	2	yes	—
307	C₁₃×#102	C₂³	1	2	yes	—
308	C₁₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
309	C₁₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
310	C₁₃×C₂²⋊C₈	C₂³	1	2	yes	—
311	C₁₃×C₂²⋊C₈	C₂³	1	2	yes	—
312	C₁₃×#97	C₂³	1	2	yes	—
313	C₁₃×#97	C₂³	1	2	yes	—
314	C₄×C₈×C₁₃	C₂³	1	1	yes	characteristic
315	C₄×C₈×C₁₃	C₂³	1	1	yes	characteristic
316	#61989	C₁₃	1	1	yes	maximal, characteristic, direct product factor, Sylow
317	C₂⁴×C₁₃	—	2	1	no	—
318	C₂⁴×C₁₃	—	2	2	no	—
319	C₂⁴×C₁₃	—	2	2	no	—
320	C₁₃×#41	—	2	4	no	—
321	C₁₃×#41	—	4	8	no	—
322	C₁₃×#41	—	4	4	no	—
323	C₁₃×#41	—	4	2	no	—
324	C₁₃×#41	—	4	2	no	—
325	C₁₃×#41	—	4	8	no	—
326	C₁₃×#41	—	4	4	no	—
327	C₁₃×#41	—	4	4	no	—
328	C₂×Q₈×C₁₃	—	2	2	no	—
329	C₂×Q₈×C₁₃	—	2	1	no	—
330	C₂×Q₈×C₁₃	—	2	2	no	—
331	C₂×Q₈×C₁₃	—	4	2	no	—
332	C₂×Q₈×C₁₃	—	4	2	no	—
333	C₂×Q₈×C₁₃	—	4	4	no	—
334	C₂×Q₈×C₁₃	C₂×D₄	1	1	yes	characteristic
335	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
336	C₂×Q₈×C₁₃	C₂⁴	1	2	yes	—
337	C₂×D₄×C₁₃	—	2	4	no	—
338	C₂×D₄×C₁₃	—	2	2	no	—
339	C₂×D₄×C₁₃	—	2	2	no	—
340	C₂×D₄×C₁₃	—	2	2	no	—
341	C₂×D₄×C₁₃	—	2	2	no	—
342	C₂×D₄×C₁₃	—	2	2	no	—
343	C₂×D₄×C₁₃	—	2	1	no	—
344	C₂×D₄×C₁₃	—	2	2	no	—
345	C₂×D₄×C₁₃	—	2	1	no	—
346	C₂×D₄×C₁₃	—	2	2	no	—
347	C₂×D₄×C₁₃	—	2	1	no	—
348	C₂×D₄×C₁₃	—	2	2	no	—
349	C₂×D₄×C₁₃	—	2	1	no	—
350	C₂×D₄×C₁₃	—	2	2	no	—
351	C₂×D₄×C₁₃	—	2	1	no	—
352	C₂×D₄×C₁₃	—	2	1	no	—
353	C₂×D₄×C₁₃	—	2	2	no	—
354	C₂×D₄×C₁₃	—	4	2	no	—
355	C₂×D₄×C₁₃	—	4	1	no	—
356	C₂×D₄×C₁₃	—	4	2	no	—
357	C₂×D₄×C₁₃	—	4	2	no	—
358	C₂×D₄×C₁₃	—	4	8	no	—
359	C₂×D₄×C₁₃	—	4	4	no	—
360	C₂×D₄×C₁₃	—	4	4	no	—
361	C₂×D₄×C₁₃	C₂×D₄	1	2	yes	—
362	C₂×D₄×C₁₃	C₂×D₄	1	1	yes	characteristic
363	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
364	C₂×D₄×C₁₃	C₂⁴	1	2	yes	—
365	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
366	C₂×D₄×C₁₃	C₂⁴	1	2	yes	—
367	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
368	C₂²×C₄×C₁₃	—	2	1	no	—
369	C₂²×C₄×C₁₃	—	2	2	no	—
370	C₂²×C₄×C₁₃	—	2	2	no	—
371	C₂²×C₄×C₁₃	—	2	1	no	—
372	C₂²×C₄×C₁₃	—	2	1	no	—
373	C₂²×C₄×C₁₃	—	2	2	no	—
374	C₂²×C₄×C₁₃	—	2	1	no	—
375	C₂²×C₄×C₁₃	—	2	2	no	—
376	C₂²×C₄×C₁₃	—	2	1	no	—
377	C₂²×C₄×C₁₃	—	2	2	no	—
378	C₂²×C₄×C₁₃	—	2	1	no	—
379	C₂²×C₄×C₁₃	—	2	2	no	—
380	C₂²×C₄×C₁₃	—	2	2	no	—
381	C₂²×C₄×C₁₃	—	4	8	no	—
382	C₂²×C₄×C₁₃	—	4	4	no	—
383	C₂²×C₄×C₁₃	C₂×D₄	1	2	yes	—
384	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
385	C₂²×C₄×C₁₃	C₂×D₄	1	2	yes	—
386	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
387	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
388	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
389	C₁₃×SD₁₆	—	2	2	no	—
390	C₁₃×SD₁₆	—	2	4	no	—
391	C₁₃×SD₁₆	—	4	2	no	—
392	C₁₃×SD₁₆	—	4	2	no	—
393	C₁₃×SD₁₆	—	4	1	no	—
394	C₁₃×SD₁₆	—	4	2	no	—
395	C₁₃×SD₁₆	—	4	2	no	—
396	C₁₃×D₈	—	2	2	no	—
397	C₁₃×D₈	—	2	4	no	—
398	C₁₃×D₈	—	4	2	no	—
399	C₁₃×D₈	—	4	2	no	—
400	C₁₃×D₈	—	4	2	no	—
401	C₁₃×D₈	—	4	1	no	—
402	C₁₃×D₈	—	4	2	no	—
403	C₁₃×M₁₆	—	4	2	no	—
404	C₂×C₈×C₁₃	—	4	2	no	—
405	C₂×C₈×C₁₃	—	4	2	no	—
406	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
407	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
408	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
409	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
410	C₂×C₈×C₁₃	C₂⁴	1	2	yes	—
411	C₂×C₈×C₁₃	C₂⁴	1	2	yes	—
412	C₁₃×C₄⋊C₄	—	2	1	no	—
413	C₁₃×C₄⋊C₄	—	2	2	no	—
414	C₁₃×C₄⋊C₄	—	2	1	no	—
415	C₁₃×C₄⋊C₄	—	2	1	no	—
416	C₁₃×C₄⋊C₄	—	2	1	no	—
417	C₁₃×C₄⋊C₄	—	2	1	no	—
418	C₁₃×C₄⋊C₄	—	2	2	no	—
419	C₁₃×C₄⋊C₄	—	2	2	no	—
420	C₁₃×C₄⋊C₄	—	2	1	no	—
421	C₁₃×C₄⋊C₄	—	2	1	no	—
422	C₁₃×C₄⋊C₄	—	2	2	no	—
423	C₁₃×C₄⋊C₄	—	2	1	no	—
424	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
425	C₁₃×C₄⋊C₄	C₂×D₄	1	2	yes	—
426	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
427	C₁₃×C₄⋊C₄	C₂×D₄	1	2	yes	—
428	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
429	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
430	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
431	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
432	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
433	C₁₃×C₂²⋊C₄	—	2	2	no	—
434	C₁₃×C₂²⋊C₄	—	2	1	no	—
435	C₁₃×C₂²⋊C₄	—	2	1	no	—
436	C₁₃×C₂²⋊C₄	—	2	2	no	—
437	C₁₃×C₂²⋊C₄	—	2	1	no	—
438	C₁₃×C₂²⋊C₄	—	2	1	no	—
439	C₁₃×C₂²⋊C₄	—	2	1	no	—
440	C₁₃×C₂²⋊C₄	—	2	2	no	—
441	C₁₃×C₂²⋊C₄	—	2	2	no	—
442	C₁₃×C₂²⋊C₄	—	2	2	no	—
443	C₁₃×C₂²⋊C₄	—	2	2	no	—
444	C₁₃×C₂²⋊C₄	—	2	1	no	—
445	C₁₃×C₂²⋊C₄	—	2	2	no	—
446	C₁₃×C₂²⋊C₄	—	2	1	no	—
447	C₁₃×C₂²⋊C₄	—	2	2	no	—
448	C₁₃×C₂²⋊C₄	—	2	1	no	—
449	C₁₃×C₂²⋊C₄	—	2	2	no	—
450	C₁₃×C₂²⋊C₄	—	2	2	no	—
451	C₁₃×C₂²⋊C₄	—	2	2	no	—
452	C₁₃×C₂²⋊C₄	—	2	2	no	—
453	C₁₃×C₂²⋊C₄	—	2	2	no	—
454	C₁₃×C₂²⋊C₄	—	2	2	no	—
455	C₁₃×C₂²⋊C₄	—	2	1	no	—
456	C₁₃×C₂²⋊C₄	—	2	2	no	—
457	C₁₃×C₂²⋊C₄	C₂×D₄	1	2	yes	—
458	C₁₃×C₂²⋊C₄	C₂×D₄	1	2	yes	—
459	C₁₃×C₂²⋊C₄	C₂×D₄	1	2	yes	—
460	C₄²×C₁₃	—	2	2	no	—
461	C₄²×C₁₃	—	2	1	no	—
462	C₄²×C₁₃	C₂×D₄	1	2	yes	—
463	C₄²×C₁₃	C₂×D₄	1	1	yes	characteristic
464	C₄²×C₁₃	C₂×D₄	1	1	yes	characteristic
465	C₄²×C₁₃	C₂×D₄	1	2	yes	—
466	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
467	C₄²×C₁₃	C₂⁴	1	2	yes	—
468	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
469	#3514	C₂×C₁₃	1	1	yes	characteristic, complemented
470	D₄×#41	C₂×C₁₃	1	1	yes	characteristic, complemented
471	#3399	C₂×C₁₃	1	1	yes	characteristic, complemented
472	#3397	C₂×C₁₃	1	1	yes	characteristic, complemented
473	#3373	C₂×C₁₃	1	1	yes	characteristic, complemented
474	#3367	C₂×C₁₃	1	1	yes	characteristic, complemented
475	#3308	C₂×C₁₃	1	2	yes	complemented
476	#3306	C₂×C₁₃	1	2	yes	complemented
477	#3298	C₂×C₁₃	1	1	yes	characteristic, complemented
478	#3294	C₂×C₁₃	1	1	yes	characteristic, complemented
479	D₄×SD₁₆	C₂×C₁₃	1	1	yes	characteristic, complemented
480	D₄×D₈	C₂×C₁₃	1	1	yes	characteristic, complemented
481	#3265	C₂×C₁₃	1	2	yes	complemented
482	#3264	C₂×C₁₃	1	2	yes	complemented
483	#3251	C₂×C₁₃	1	1	yes	characteristic, complemented
484	#3247	C₂×C₁₃	1	2	yes	complemented
485	#3213	C₂×C₁₃	1	2	yes	complemented
486	#3207	C₂×C₁₃	1	1	yes	characteristic, complemented
487	#3114	C₂×C₁₃	1	2	yes	complemented
488	#3105	C₂×C₁₃	1	1	yes	characteristic, complemented
489	#3036	C₂×C₁₃	1	1	yes	characteristic, complemented
490	C₂×#463	C₂×C₁₃	1	2	yes	complemented
491	#2990	C₂×C₁₃	1	1	yes	characteristic, complemented
492	C₂³×C₁₃	—	2	1	no	—
493	C₂³×C₁₃	—	2	1	no	—
494	C₂³×C₁₃	—	2	2	no	—
495	C₂³×C₁₃	—	2	2	no	—
496	C₂³×C₁₃	—	2	1	no	—
497	C₂³×C₁₃	—	4	4	no	—
498	C₂³×C₁₃	—	4	2	no	—
499	C₂³×C₁₃	—	4	2	no	—
500	C₂³×C₁₃	—	4	4	no	—
501	C₂³×C₁₃	—	4	4	no	—
502	C₂³×C₁₃	—	8	2	no	—
503	C₂³×C₁₃	—	8	1	no	—
504	C₂³×C₁₃	—	8	2	no	—
505	C₂³×C₁₃	—	8	2	no	—
506	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
507	C₂³×C₁₃	C₂²×D₄	1	2	yes	—
508	Q₈×C₁₃	—	2	2	no	—
509	Q₈×C₁₃	—	2	1	no	—
510	Q₈×C₁₃	—	2	2	no	—
511	Q₈×C₁₃	—	2	1	no	—
512	Q₈×C₁₃	—	2	2	no	—
513	Q₈×C₁₃	—	4	4	no	—
514	Q₈×C₁₃	—	4	2	no	—
515	Q₈×C₁₃	—	8	2	no	—
516	D₄×C₁₃	—	2	4	no	—
517	D₄×C₁₃	—	2	1	no	—
518	D₄×C₁₃	—	2	2	no	—
519	D₄×C₁₃	—	2	2	no	—
520	D₄×C₁₃	—	2	1	no	—
521	D₄×C₁₃	—	2	1	no	—
522	D₄×C₁₃	—	2	2	no	—
523	D₄×C₁₃	—	2	1	no	—
524	D₄×C₁₃	—	2	1	no	—
525	D₄×C₁₃	—	2	2	no	—
526	D₄×C₁₃	—	4	2	no	—
527	D₄×C₁₃	—	4	4	no	—
528	D₄×C₁₃	—	4	4	no	—
529	D₄×C₁₃	—	4	4	no	—
530	D₄×C₁₃	—	4	4	no	—
531	D₄×C₁₃	—	4	4	no	—
532	D₄×C₁₃	—	4	4	no	—
533	D₄×C₁₃	—	4	2	no	—
534	D₄×C₁₃	—	4	2	no	—
535	D₄×C₁₃	—	8	2	no	—
536	D₄×C₁₃	—	8	1	no	—
537	D₄×C₁₃	—	8	1	no	—
538	D₄×C₁₃	—	8	2	no	—
539	D₄×C₁₃	—	8	1	no	—
540	D₄×C₁₃	—	8	2	no	—
541	D₄×C₁₃	AGL(1,ℤ/8)	1	4	yes	complemented
542	D₄×C₁₃	H(5,𝔽₂)	1	2	yes	—
543	C₂×C₄×C₁₃	—	2	4	no	—
544	C₂×C₄×C₁₃	—	2	2	no	—
545	C₂×C₄×C₁₃	—	2	2	no	—
546	C₂×C₄×C₁₃	—	2	1	no	—
547	C₂×C₄×C₁₃	—	2	2	no	—
548	C₂×C₄×C₁₃	—	2	1	no	—
549	C₂×C₄×C₁₃	—	2	1	no	—
550	C₂×C₄×C₁₃	—	2	1	no	—
551	C₂×C₄×C₁₃	—	2	1	no	—
552	C₂×C₄×C₁₃	—	2	2	no	—
553	C₂×C₄×C₁₃	—	2	1	no	—
554	C₂×C₄×C₁₃	—	2	2	no	—
555	C₂×C₄×C₁₃	—	2	1	no	—
556	C₂×C₄×C₁₃	—	4	2	no	—
557	C₂×C₄×C₁₃	—	4	1	no	—
558	C₂×C₄×C₁₃	—	4	2	no	—
559	C₂×C₄×C₁₃	—	4	4	no	—
560	C₂×C₄×C₁₃	—	4	4	no	—
561	C₂×C₄×C₁₃	—	4	2	no	—
562	C₂×C₄×C₁₃	—	4	4	no	—
563	C₂×C₄×C₁₃	—	4	2	no	—
564	C₂×C₄×C₁₃	—	4	4	no	—
565	C₂×C₄×C₁₃	—	4	2	no	—
566	C₂×C₄×C₁₃	—	4	2	no	—
567	C₂×C₄×C₁₃	—	4	2	no	—
568	C₂×C₄×C₁₃	—	8	2	no	—
569	C₂×C₄×C₁₃	—	8	2	no	—
570	C₂×C₄×C₁₃	—	8	2	no	—
571	C₂×C₄×C₁₃	C₂²×D₄	1	2	yes	—
572	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
573	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
574	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
575	C₂×C₄×C₁₃	C₂²×D₄	1	2	yes	—
576	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
577	C₂×C₄×C₁₃	C₂²×D₄	1	2	yes	—
578	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
579	C₂×C₄×C₁₃	C₂⁵	1	1	yes	characteristic
580	C₈×C₁₃	—	2	1	no	—
581	C₈×C₁₃	—	2	1	no	—
582	C₈×C₁₃	—	2	2	no	—
583	C₈×C₁₃	—	2	2	no	—
584	C₈×C₁₃	—	2	1	no	—
585	C₈×C₁₃	—	2	1	no	—
586	C₂²×#41	—	2	1	no	—
587	C₂×AGL(1,ℤ/8)	C₂²×C₁₃	1	2	yes	complemented
588	C₂²×SD₁₆	C₂²×C₁₃	1	2	yes	complemented
589	C₂²×D₈	C₂²×C₁₃	1	2	yes	—
590	#559	C₂²×C₁₃	1	1	yes	characteristic, complemented
591	#556	C₂²×C₁₃	1	1	yes	characteristic, complemented
592	#555	—	2	1	no	—
593	#551	—	2	2	no	—
594	#550	C₂²×C₁₃	1	1	yes	characteristic, complemented
595	D₄×Q₈	C₂²×C₁₃	1	1	yes	characteristic, complemented
596	D₄×Q₈	C₂²×C₁₃	1	1	yes	characteristic, complemented
597	#548	—	2	1	no	—
598	#548	C₂²×C₁₃	1	2	yes	complemented
599	#547	C₂²×C₁₃	1	1	yes	characteristic
600	#547	C₂²×C₁₃	1	2	yes	complemented
601	#546	—	2	1	no	—
602	#546	—	2	1	no	—
603	#546	—	2	2	no	—
604	#546	C₂²×C₁₃	1	2	yes	complemented
605	D₄²	C₂²×C₁₃	1	1	yes	characteristic
606	D₄²	C₂²×C₁₃	1	2	yes	complemented
607	D₄²	C₂²×C₁₃	1	1	yes	characteristic, complemented
608	#542	—	2	1	no	—
609	#538	—	2	2	no	—
610	#532	C₂²×C₁₃	1	1	yes	characteristic, complemented
611	#532	C₂²×C₁₃	1	1	yes	characteristic, complemented
612	#532	C₂²×C₁₃	1	2	yes	complemented
613	#529	C₂²×C₁₃	1	1	yes	characteristic, complemented
614	#529	C₂²×C₁₃	1	2	yes	complemented
615	C₂×#124	C₂²×C₁₃	1	2	yes	complemented
616	#525	—	2	2	no	—
617	#525	—	2	1	no	—
618	#518	—	2	1	no	—
619	C₄×#41	C₂²×C₁₃	1	1	yes	characteristic
620	C₂×C₄×D₄	C₂²×C₁₃	1	1	yes	characteristic, complemented
621	C₂×C₄×D₄	C₂²×C₁₃	1	2	yes	complemented
622	#496	C₂²×C₁₃	1	2	yes	complemented
623	#496	C₂²×C₁₃	1	2	yes	complemented
624	#493	C₂²×C₁₃	1	1	yes	characteristic, complemented
625	#492	C₂²×C₁₃	1	1	yes	characteristic, complemented
626	#489	C₂²×C₁₃	1	2	yes	complemented
627	#489	C₂²×C₁₃	1	2	yes	complemented
628	#487	C₂²×C₁₃	1	1	yes	characteristic, complemented
629	#486	C₂²×C₁₃	1	1	yes	characteristic, complemented
630	#484	C₂²×C₁₃	1	1	yes	characteristic, complemented
631	#483	C₂²×C₁₃	1	2	yes	complemented
632	#481	C₂²×C₁₃	1	1	yes	characteristic, complemented
633	#480	C₂²×C₁₃	1	2	yes	complemented
634	#478	C₂²×C₁₃	1	1	yes	characteristic, complemented
635	#478	C₂²×C₁₃	1	1	yes	characteristic, complemented
636	#478	C₂²×C₁₃	1	2	yes	complemented
637	#477	C₂²×C₁₃	1	2	yes	complemented
638	#476	C₂²×C₁₃	1	2	yes	complemented
639	#475	C₂²×C₁₃	1	1	yes	characteristic, complemented
640	#474	C₂²×C₁₃	1	1	yes	characteristic, complemented
641	#469	C₂²×C₁₃	1	2	yes	complemented
642	#468	C₂²×C₁₃	1	2	yes	complemented
643	#466	C₂²×C₁₃	1	2	yes	complemented
644	#466	C₂²×C₁₃	1	2	yes	complemented
645	#465	C₂²×C₁₃	1	2	yes	complemented
646	#465	C₂²×C₁₃	1	2	yes	complemented
647	#463	C₂²×C₁₃	1	1	yes	characteristic
648	#463	C₂²×C₁₃	1	2	yes	—
649	#463	C₂²×C₁₃	1	1	yes	characteristic, complemented
650	#463	C₂²×C₁₃	1	2	yes	complemented
651	#463	C₂²×C₁₃	1	2	yes	complemented
652	#463	C₂²×C₁₃	1	2	yes	complemented
653	#463	C₂²×C₁₃	1	2	yes	complemented
654	#463	C₂²×C₁₃	1	2	yes	complemented
655	#463	C₂²×C₁₃	1	2	yes	complemented
656	#463	C₂²×C₁₃	1	2	yes	complemented
657	#463	C₂²×C₁₃	1	2	yes	complemented
658	#461	C₂²×C₁₃	1	1	yes	characteristic, complemented
659	#461	C₂²×C₁₃	1	1	yes	characteristic, complemented
660	#460	C₂²×C₁₃	1	2	yes	complemented
661	#460	C₂²×C₁₃	1	1	yes	characteristic, complemented
662	#459	C₂²×C₁₃	1	1	yes	characteristic
663	#459	C₂²×C₁₃	1	1	yes	characteristic, complemented
664	#459	C₂²×C₁₃	1	2	yes	complemented
665	#459	C₂²×C₁₃	1	1	yes	characteristic, complemented
666	#450	C₂²×C₁₃	1	1	yes	characteristic, complemented
667	#450	C₂²×C₁₃	1	2	yes	complemented
668	#449	C₂²×C₁₃	1	2	yes	complemented
669	#449	C₂²×C₁₃	1	2	yes	complemented
670	#448	C₂²×C₁₃	1	2	yes	complemented
671	#448	C₂²×C₁₃	1	2	yes	complemented
672	#447	C₂²×C₁₃	1	1	yes	characteristic
673	#447	C₂²×C₁₃	1	2	yes	—
674	#447	C₂²×C₁₃	1	2	yes	complemented
675	#447	C₂²×C₁₃	1	2	yes	complemented
676	#446	C₂²×C₁₃	1	1	yes	characteristic, complemented
677	#446	C₂²×C₁₃	1	1	yes	characteristic, complemented
678	#442	C₂²×C₁₃	1	2	yes	complemented
679	#442	C₂²×C₁₃	1	2	yes	complemented
680	#440	C₂²×C₁₃	1	2	yes	complemented
681	#440	C₂²×C₁₃	1	2	yes	complemented
682	C₄×SD₁₆	C₂²×C₁₃	1	1	yes	characteristic, complemented
683	C₄×SD₁₆	C₂²×C₁₃	1	1	yes	characteristic, complemented
684	C₄×D₈	C₂²×C₁₃	1	1	yes	characteristic
685	C₄×D₈	C₂²×C₁₃	1	1	yes	characteristic, complemented
686	#435	C₂²×C₁₃	1	2	yes	complemented
687	#435	C₂²×C₁₃	1	2	yes	complemented
688	C₈×D₄	C₂²×C₁₃	1	1	yes	characteristic, complemented
689	C₈×D₄	C₂²×C₁₃	1	1	yes	characteristic, complemented
690	#432	C₂²×C₁₃	1	2	yes	complemented
691	#431	C₂²×C₁₃	1	1	yes	characteristic, complemented
692	#423	C₂²×C₁₃	1	1	yes	characteristic, complemented
693	C₂×C₄⋊C₈	C₂²×C₁₃	1	2	yes	complemented
694	#417	C₂²×C₁₃	1	2	yes	complemented
695	C₂×#103	C₂²×C₁₃	1	2	yes	complemented
696	C₂×#102	C₂²×C₁₃	1	2	yes	complemented
697	C₂²×C₁₃	—	2	2	no	—
698	C₂²×C₁₃	—	2	2	no	—
699	C₂²×C₁₃	—	2	1	no	—
700	C₂²×C₁₃	—	2	1	no	—
701	C₂²×C₁₃	—	2	2	no	—
702	C₂²×C₁₃	—	2	1	no	—
703	C₂²×C₁₃	—	4	1	no	—
704	C₂²×C₁₃	—	4	1	no	—
705	C₂²×C₁₃	—	4	2	no	—
706	C₂²×C₁₃	—	4	2	no	—
707	C₂²×C₁₃	—	4	1	no	—
708	C₂²×C₁₃	—	4	1	no	—
709	C₂²×C₁₃	—	4	2	no	—
710	C₂²×C₁₃	—	4	2	no	—
711	C₂²×C₁₃	—	4	1	no	—
712	C₂²×C₁₃	—	4	1	no	—
713	C₂²×C₁₃	—	4	2	no	—
714	C₂²×C₁₃	—	4	1	no	—
715	C₂²×C₁₃	—	4	1	no	—
716	C₂²×C₁₃	—	4	2	no	—
717	C₂²×C₁₃	—	8	8	no	—
718	C₂²×C₁₃	—	8	4	no	—
719	C₂²×C₁₃	—	16	4	no	—
720	C₂²×C₁₃	C₂×AGL(1,ℤ/8)	1	4	yes	—
721	C₂²×C₁₃	C₂³×D₄	1	1	yes	characteristic
722	C₄×C₁₃	—	2	1	no	—
723	C₄×C₁₃	—	2	2	no	—
724	C₄×C₁₃	—	2	1	no	—
725	C₄×C₁₃	—	2	1	no	—
726	C₄×C₁₃	—	2	2	no	—
727	C₄×C₁₃	—	2	1	no	—
728	C₄×C₁₃	—	2	2	no	—
729	C₄×C₁₃	—	4	1	no	—
730	C₄×C₁₃	—	4	2	no	—
731	C₄×C₁₃	—	4	1	no	—
732	C₄×C₁₃	—	4	1	no	—
733	C₄×C₁₃	—	4	2	no	—
734	C₄×C₁₃	—	4	1	no	—
735	C₄×C₁₃	—	4	1	no	—
736	C₄×C₁₃	C₂×AGL(1,ℤ/8)	1	2	yes	—
737	C₄×C₁₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
738	C₄×C₁₃	#585	1	1	yes	characteristic
739	C₂×#41	—	2	1	no	—
740	C₂×#41	—	2	1	no	—
741	C₂×#41	—	2	2	no	—
742	C₂×#41	—	2	2	no	—
743	C₂×#41	—	2	1	no	—
744	C₂×#41	—	4	8	no	—
745	C₂×#41	D₄×C₁₃	1	1	yes	characteristic
746	C₂×#41	C₂³×C₁₃	1	2	yes	—
747	C₂²×Q₈	—	2	1	no	—
748	C₂²×Q₈	C₂³×C₁₃	1	2	yes	—
749	C₂²×D₄	—	2	1	no	—
750	C₂²×D₄	—	2	1	no	—
751	C₂²×D₄	—	2	2	no	—
752	C₂²×D₄	C₂³×C₁₃	1	2	yes	—
753	C₂²×D₄	C₂³×C₁₃	1	1	yes	characteristic
754	C₂²×D₄	C₂³×C₁₃	1	2	yes	—
755	C₂³×C₄	—	2	2	no	—
756	C₂³×C₄	—	2	1	no	—
757	AGL(1,ℤ/8)	—	4	4	no	—
758	C₂×SD₁₆	—	4	4	no	—
759	C₂×SD₁₆	C₂³×C₁₃	1	1	yes	characteristic
760	C₂×SD₁₆	C₂³×C₁₃	1	2	yes	—
761	C₂×SD₁₆	C₂³×C₁₃	1	2	yes	—
762	C₂×SD₁₆	C₂³×C₁₃	1	2	yes	—
763	C₂×SD₁₆	C₂³×C₁₃	1	2	yes	—
764	C₂×SD₁₆	C₂³×C₁₃	1	1	yes	characteristic
765	C₂×SD₁₆	C₂³×C₁₃	1	2	yes	—
766	C₂×D₈	—	4	4	no	—
767	C₂×D₈	C₂³×C₁₃	1	1	yes	characteristic
768	C₂×D₈	C₂³×C₁₃	1	2	yes	—
769	C₂×D₈	C₂³×C₁₃	1	2	yes	—
770	C₂×D₈	C₂³×C₁₃	1	2	yes	—
771	C₂×D₈	C₂³×C₁₃	1	2	yes	—
772	C₂×D₈	C₂³×C₁₃	1	1	yes	characteristic
773	C₂×D₈	C₂³×C₁₃	1	2	yes	—
774	C₂×M₁₆	C₂³×C₁₃	1	2	yes	—
775	C₂²×C₈	C₂³×C₁₃	1	2	yes	—
776	C₂²×C₈	C₂³×C₁₃	1	2	yes	—
777	C₄⋊Q₈	—	2	1	no	—
778	C₄⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
779	C₄⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
780	C₄⋊Q₈	C₂³×C₁₃	1	2	yes	—
781	#127	C₂³×C₁₃	1	1	yes	characteristic
782	#127	C₂³×C₁₃	1	2	yes	—
783	#127	C₂³×C₁₃	1	1	yes	characteristic
784	#126	—	2	2	no	—
785	#126	—	2	2	no	—
786	#126	—	2	1	no	—
787	#125	C₂³×C₁₃	1	1	yes	characteristic
788	#124	—	2	1	no	—
789	#124	—	2	2	no	—
790	#124	—	2	2	no	—
791	#124	—	2	2	no	—
792	#124	—	2	1	no	—
793	#124	—	2	2	no	—
794	#124	C₂³×C₁₃	1	1	yes	characteristic
795	#124	C₂³×C₁₃	1	2	yes	—
796	#124	C₂³×C₁₃	1	2	yes	—
797	#124	C₂³×C₁₃	1	2	yes	—
798	#123	—	2	1	no	—
799	#123	—	2	2	no	—
800	#123	—	2	2	no	—
801	#123	—	2	2	no	—
802	#123	—	2	2	no	—
803	#123	—	2	2	no	—
804	#123	—	2	2	no	—
805	C₂²⋊Q₈	—	2	1	no	—
806	C₂²⋊Q₈	—	2	1	no	—
807	C₂²⋊Q₈	—	2	2	no	—
808	C₂²⋊Q₈	—	2	1	no	—
809	C₂²⋊Q₈	—	2	2	no	—
810	C₂²⋊Q₈	—	2	2	no	—
811	C₂²⋊Q₈	—	2	2	no	—
812	C₂²⋊Q₈	C₂³×C₁₃	1	2	yes	—
813	C₂²⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
814	#121	—	2	2	no	—
815	#121	—	2	1	no	—
816	#121	—	2	2	no	—
817	#121	—	2	1	no	—
818	#121	—	2	1	no	—
819	#121	—	2	1	no	—
820	#121	—	2	2	no	—
821	#121	—	2	1	no	—
822	#121	—	2	2	no	—
823	#121	—	2	1	no	—
824	#121	—	2	2	no	—
825	#121	C₂³×C₁₃	1	2	yes	—
826	#121	C₂³×C₁₃	1	1	yes	characteristic
827	#121	C₂³×C₁₃	1	2	yes	—
828	#121	C₂³×C₁₃	1	2	yes	—
829	#121	C₂³×C₁₃	1	2	yes	—
830	#120	—	2	2	no	—
831	#120	—	2	2	no	—
832	#120	—	2	2	no	—
833	#120	—	2	2	no	—
834	#120	—	2	2	no	—
835	C₄×Q₈	D₄×C₁₃	1	1	yes	characteristic
836	C₄×Q₈	C₂³×C₁₃	1	2	yes	—
837	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
838	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
839	C₄×D₄	—	2	1	no	—
840	C₄×D₄	—	2	2	no	—
841	C₄×D₄	—	2	1	no	—
842	C₄×D₄	—	2	1	no	—
843	C₄×D₄	—	2	2	no	—
844	C₄×D₄	—	2	2	no	—
845	C₄×D₄	—	2	1	no	—
846	C₄×D₄	—	2	1	no	—
847	C₄×D₄	—	2	2	no	—
848	C₄×D₄	—	2	1	no	—
849	C₄×D₄	—	2	2	no	—
850	C₄×D₄	—	2	1	no	—
851	C₄×D₄	—	2	1	no	—
852	C₄×D₄	D₄×C₁₃	1	1	yes	characteristic
853	C₄×D₄	D₄×C₁₃	1	2	yes	—
854	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
855	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
856	C₄×D₄	C₂³×C₁₃	1	2	yes	—
857	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
858	C₄×D₄	C₂³×C₁₃	1	2	yes	—
859	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
860	C₄×D₄	C₂³×C₁₃	1	2	yes	—
861	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
862	C₄×D₄	C₂³×C₁₃	1	2	yes	—
863	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
864	C₄×D₄	C₂³×C₁₃	1	2	yes	—
865	#117	—	2	1	no	—
866	#117	—	2	1	no	—
867	#117	—	2	2	no	—
868	#117	D₄×C₁₃	1	2	yes	—
869	#117	D₄×C₁₃	1	1	yes	characteristic
870	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
871	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
872	C₂×C₂²⋊C₄	—	2	2	no	—
873	C₂×C₂²⋊C₄	—	2	1	no	—
874	C₂×C₂²⋊C₄	—	2	2	no	—
875	C₂×C₂²⋊C₄	—	2	2	no	—
876	C₂×C₂²⋊C₄	—	2	2	no	—
877	C₂×C₄²	C₂³×C₁₃	1	2	yes	—
878	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
879	#107	C₂³×C₁₃	1	1	yes	characteristic
880	#107	C₂³×C₁₃	1	1	yes	characteristic
881	#107	C₂³×C₁₃	1	2	yes	—
882	#106	C₂³×C₁₃	1	1	yes	characteristic
883	#106	C₂³×C₁₃	1	1	yes	characteristic
884	#106	C₂³×C₁₃	1	2	yes	—
885	C₄⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
886	C₄⋊C₈	C₂³×C₁₃	1	2	yes	—
887	C₄⋊C₈	C₂³×C₁₃	1	2	yes	—
888	C₄⋊C₈	C₂³×C₁₃	1	2	yes	—
889	C₄⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
890	C₄⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
891	C₄⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
892	#103	C₂³×C₁₃	1	1	yes	characteristic
893	#103	C₂³×C₁₃	1	2	yes	—
894	#103	C₂³×C₁₃	1	2	yes	—
895	#103	C₂³×C₁₃	1	2	yes	—
896	#103	C₂³×C₁₃	1	2	yes	—
897	#103	C₂³×C₁₃	1	1	yes	characteristic
898	#103	C₂³×C₁₃	1	2	yes	—
899	#102	C₂³×C₁₃	1	1	yes	characteristic
900	#102	C₂³×C₁₃	1	2	yes	—
901	#102	C₂³×C₁₃	1	2	yes	—
902	#102	C₂³×C₁₃	1	2	yes	—
903	#102	C₂³×C₁₃	1	2	yes	—
904	#102	C₂³×C₁₃	1	1	yes	characteristic
905	#102	C₂³×C₁₃	1	1	yes	characteristic
906	#102	C₂³×C₁₃	1	1	yes	characteristic
907	#102	C₂³×C₁₃	1	1	yes	characteristic
908	#102	C₂³×C₁₃	1	1	yes	characteristic
909	#102	C₂³×C₁₃	1	2	yes	—
910	#102	C₂³×C₁₃	1	2	yes	—
911	#102	C₂³×C₁₃	1	2	yes	—
912	C₂²⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
913	C₂²⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
914	C₂²⋊C₈	C₂³×C₁₃	1	2	yes	—
915	C₂²⋊C₈	C₂³×C₁₃	1	2	yes	—
916	#97	C₂³×C₁₃	1	2	yes	—
917	#97	C₂³×C₁₃	1	2	yes	—
918	C₄×C₈	C₂³×C₁₃	1	1	yes	characteristic
919	C₄×C₈	C₂³×C₁₃	1	1	yes	characteristic
920	C₂×C₁₃	—	2	4	no	—
921	C₂×C₁₃	—	4	1	no	—
922	C₂×C₁₃	—	4	2	no	—
923	C₂×C₁₃	—	8	2	no	—
924	C₂×C₁₃	—	8	1	no	—
925	C₂×C₁₃	—	8	2	no	—
926	C₂×C₁₃	—	8	1	no	—
927	C₂×C₁₃	#3488	1	1	yes	characteristic
928	C₂×C₁₃	C₂²×AGL(1,ℤ/8)	1	1	yes	characteristic
929	C₂×C₁₃	#3584	1	1	yes	characteristic
930	C₂⁴	—	2	1	no	—
931	C₂⁴	—	2	2	no	—
932	C₂⁴	—	2	2	no	—
933	#41	—	2	4	no	—
934	#41	—	4	8	no	—
935	#41	—	4	4	no	—
936	#41	—	4	2	no	—
937	#41	—	4	2	no	—
938	#41	—	4	8	no	—
939	#41	—	4	4	no	—
940	#41	—	4	4	no	—
941	C₂×Q₈	—	2	2	no	—
942	C₂×Q₈	—	2	1	no	—
943	C₂×Q₈	—	2	2	no	—
944	C₂×Q₈	—	4	2	no	—
945	C₂×Q₈	—	4	2	no	—
946	C₂×Q₈	—	4	4	no	—
947	C₂×Q₈	C₂×D₄×C₁₃	1	1	yes	characteristic
948	C₂×Q₈	C₂⁴×C₁₃	1	1	yes	characteristic
949	C₂×Q₈	C₂⁴×C₁₃	1	2	yes	—
950	C₂×D₄	—	2	4	no	—
951	C₂×D₄	—	2	2	no	—
952	C₂×D₄	—	2	2	no	—
953	C₂×D₄	—	2	2	no	—
954	C₂×D₄	—	2	2	no	—
955	C₂×D₄	—	2	2	no	—
956	C₂×D₄	—	2	1	no	—
957	C₂×D₄	—	2	2	no	—
958	C₂×D₄	—	2	1	no	—
959	C₂×D₄	—	2	2	no	—
960	C₂×D₄	—	2	1	no	—
961	C₂×D₄	—	2	2	no	—
962	C₂×D₄	—	2	1	no	—
963	C₂×D₄	—	2	2	no	—
964	C₂×D₄	—	2	1	no	—
965	C₂×D₄	—	2	1	no	—
966	C₂×D₄	—	2	2	no	—
967	C₂×D₄	—	4	2	no	—
968	C₂×D₄	—	4	1	no	—
969	C₂×D₄	—	4	2	no	—
970	C₂×D₄	—	4	2	no	—
971	C₂×D₄	—	4	8	no	—
972	C₂×D₄	—	4	4	no	—
973	C₂×D₄	—	4	4	no	—
974	C₂×D₄	C₂×D₄×C₁₃	1	2	yes	—
975	C₂×D₄	C₂×D₄×C₁₃	1	1	yes	characteristic
976	C₂×D₄	C₂⁴×C₁₃	1	1	yes	characteristic
977	C₂×D₄	C₂⁴×C₁₃	1	2	yes	—
978	C₂×D₄	C₂⁴×C₁₃	1	1	yes	characteristic
979	C₂×D₄	C₂⁴×C₁₃	1	2	yes	—
980	C₂×D₄	C₂⁴×C₁₃	1	1	yes	characteristic
981	C₂²×C₄	—	2	1	no	—
982	C₂²×C₄	—	2	2	no	—
983	C₂²×C₄	—	2	2	no	—
984	C₂²×C₄	—	2	1	no	—
985	C₂²×C₄	—	2	1	no	—
986	C₂²×C₄	—	2	2	no	—
987	C₂²×C₄	—	2	1	no	—
988	C₂²×C₄	—	2	2	no	—
989	C₂²×C₄	—	2	1	no	—
990	C₂²×C₄	—	2	2	no	—
991	C₂²×C₄	—	2	1	no	—
992	C₂²×C₄	—	2	2	no	—
993	C₂²×C₄	—	2	2	no	—
994	C₂²×C₄	—	4	8	no	—
995	C₂²×C₄	—	4	4	no	—
996	C₂²×C₄	C₂×D₄×C₁₃	1	2	yes	—
997	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
998	C₂²×C₄	C₂×D₄×C₁₃	1	2	yes	—
999	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1000	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
1001	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1002	SD₁₆	—	2	2	no	—
1003	SD₁₆	—	2	4	no	—
1004	SD₁₆	—	4	2	no	—
1005	SD₁₆	—	4	2	no	—
1006	SD₁₆	—	4	2	no	—
1007	SD₁₆	—	4	1	no	—
1008	SD₁₆	—	4	2	no	—
1009	D₈	—	2	2	no	—
1010	D₈	—	2	4	no	—
1011	D₈	—	4	2	no	—
1012	D₈	—	4	2	no	—
1013	D₈	—	4	2	no	—
1014	D₈	—	4	2	no	—
1015	D₈	—	4	1	no	—
1016	M₁₆	—	4	2	no	—
1017	C₂×C₈	—	4	2	no	—
1018	C₂×C₈	—	4	2	no	—
1019	C₂×C₈	C₂⁴×C₁₃	1	1	yes	characteristic
1020	C₂×C₈	C₂⁴×C₁₃	1	1	yes	characteristic
1021	C₂×C₈	C₂⁴×C₁₃	1	1	yes	characteristic
1022	C₂×C₈	C₂⁴×C₁₃	1	1	yes	characteristic
1023	C₂×C₈	C₂⁴×C₁₃	1	2	yes	—
1024	C₂×C₈	C₂⁴×C₁₃	1	2	yes	—
1025	C₄⋊C₄	—	2	1	no	—
1026	C₄⋊C₄	—	2	2	no	—
1027	C₄⋊C₄	—	2	1	no	—
1028	C₄⋊C₄	—	2	1	no	—
1029	C₄⋊C₄	—	2	1	no	—
1030	C₄⋊C₄	—	2	1	no	—
1031	C₄⋊C₄	—	2	2	no	—
1032	C₄⋊C₄	—	2	2	no	—
1033	C₄⋊C₄	—	2	1	no	—
1034	C₄⋊C₄	—	2	1	no	—
1035	C₄⋊C₄	—	2	2	no	—
1036	C₄⋊C₄	—	2	1	no	—
1037	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1038	C₄⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
1039	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1040	C₄⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
1041	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1042	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1043	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1044	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
1045	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1046	C₂²⋊C₄	—	2	2	no	—
1047	C₂²⋊C₄	—	2	1	no	—
1048	C₂²⋊C₄	—	2	1	no	—
1049	C₂²⋊C₄	—	2	2	no	—
1050	C₂²⋊C₄	—	2	1	no	—
1051	C₂²⋊C₄	—	2	1	no	—
1052	C₂²⋊C₄	—	2	1	no	—
1053	C₂²⋊C₄	—	2	2	no	—
1054	C₂²⋊C₄	—	2	2	no	—
1055	C₂²⋊C₄	—	2	2	no	—
1056	C₂²⋊C₄	—	2	2	no	—
1057	C₂²⋊C₄	—	2	1	no	—
1058	C₂²⋊C₄	—	2	2	no	—
1059	C₂²⋊C₄	—	2	1	no	—
1060	C₂²⋊C₄	—	2	2	no	—
1061	C₂²⋊C₄	—	2	1	no	—
1062	C₂²⋊C₄	—	2	2	no	—
1063	C₂²⋊C₄	—	2	2	no	—
1064	C₂²⋊C₄	—	2	2	no	—
1065	C₂²⋊C₄	—	2	2	no	—
1066	C₂²⋊C₄	—	2	2	no	—
1067	C₂²⋊C₄	—	2	2	no	—
1068	C₂²⋊C₄	—	2	1	no	—
1069	C₂²⋊C₄	—	2	2	no	—
1070	C₂²⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
1071	C₂²⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
1072	C₂²⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
1073	C₄²	—	2	2	no	—
1074	C₄²	—	2	1	no	—
1075	C₄²	C₂×D₄×C₁₃	1	2	yes	—
1076	C₄²	C₂×D₄×C₁₃	1	1	yes	characteristic
1077	C₄²	C₂×D₄×C₁₃	1	1	yes	characteristic
1078	C₄²	C₂×D₄×C₁₃	1	2	yes	—
1079	C₄²	C₂⁴×C₁₃	1	1	yes	characteristic
1080	C₄²	C₂⁴×C₁₃	1	2	yes	—
1081	C₄²	C₂⁴×C₁₃	1	1	yes	characteristic
1082	C₁₃	#61989	1	1	yes	characteristic, direct product factor, Sylow
1083	C₂³	—	2	1	no	—
1084	C₂³	—	2	1	no	—
1085	C₂³	—	2	2	no	—
1086	C₂³	—	2	2	no	—
1087	C₂³	—	2	1	no	—
1088	C₂³	—	4	4	no	—
1089	C₂³	—	4	2	no	—
1090	C₂³	—	4	2	no	—
1091	C₂³	—	4	4	no	—
1092	C₂³	—	4	4	no	—
1093	C₂³	—	8	2	no	—
1094	C₂³	—	8	1	no	—
1095	C₂³	—	8	2	no	—
1096	C₂³	—	8	2	no	—
1097	C₂³	C₂²×D₄×C₁₃	1	1	yes	characteristic
1098	C₂³	C₂²×D₄×C₁₃	1	2	yes	—
1099	Q₈	—	2	2	no	—
1100	Q₈	—	2	1	no	—
1101	Q₈	—	2	2	no	—
1102	Q₈	—	2	1	no	—
1103	Q₈	—	2	2	no	—
1104	Q₈	—	4	4	no	—
1105	Q₈	—	4	2	no	—
1106	Q₈	—	8	2	no	—
1107	D₄	—	2	4	no	—
1108	D₄	—	2	1	no	—
1109	D₄	—	2	2	no	—
1110	D₄	—	2	2	no	—
1111	D₄	—	2	1	no	—
1112	D₄	—	2	1	no	—
1113	D₄	—	2	2	no	—
1114	D₄	—	2	1	no	—
1115	D₄	—	2	1	no	—
1116	D₄	—	2	2	no	—
1117	D₄	—	4	2	no	—
1118	D₄	—	4	4	no	—
1119	D₄	—	4	4	no	—
1120	D₄	—	4	4	no	—
1121	D₄	—	4	4	no	—
1122	D₄	—	4	4	no	—
1123	D₄	—	4	4	no	—
1124	D₄	—	4	2	no	—
1125	D₄	—	4	2	no	—
1126	D₄	—	8	2	no	—
1127	D₄	—	8	2	no	—
1128	D₄	—	8	1	no	—
1129	D₄	—	8	1	no	—
1130	D₄	—	8	1	no	—
1131	D₄	—	8	2	no	—
1132	D₄	C₁₃×AGL(1,ℤ/8)	1	4	yes	complemented
1133	D₄	C₁₃×H(5,𝔽₂)	1	2	yes	—
1134	C₂×C₄	—	2	4	no	—
1135	C₂×C₄	—	2	2	no	—
1136	C₂×C₄	—	2	2	no	—
1137	C₂×C₄	—	2	1	no	—
1138	C₂×C₄	—	2	2	no	—
1139	C₂×C₄	—	2	1	no	—
1140	C₂×C₄	—	2	1	no	—
1141	C₂×C₄	—	2	1	no	—
1142	C₂×C₄	—	2	1	no	—
1143	C₂×C₄	—	2	2	no	—
1144	C₂×C₄	—	2	1	no	—
1145	C₂×C₄	—	2	2	no	—
1146	C₂×C₄	—	2	1	no	—
1147	C₂×C₄	—	4	2	no	—
1148	C₂×C₄	—	4	1	no	—
1149	C₂×C₄	—	4	2	no	—
1150	C₂×C₄	—	4	4	no	—
1151	C₂×C₄	—	4	4	no	—
1152	C₂×C₄	—	4	2	no	—
1153	C₂×C₄	—	4	4	no	—
1154	C₂×C₄	—	4	2	no	—
1155	C₂×C₄	—	4	4	no	—
1156	C₂×C₄	—	4	2	no	—
1157	C₂×C₄	—	4	2	no	—
1158	C₂×C₄	—	4	2	no	—
1159	C₂×C₄	—	8	2	no	—
1160	C₂×C₄	—	8	2	no	—
1161	C₂×C₄	—	8	2	no	—
1162	C₂×C₄	C₂²×D₄×C₁₃	1	2	yes	—
1163	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1164	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1165	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1166	C₂×C₄	C₂²×D₄×C₁₃	1	2	yes	—
1167	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1168	C₂×C₄	C₂²×D₄×C₁₃	1	2	yes	—
1169	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1170	C₂×C₄	C₂⁵×C₁₃	1	1	yes	characteristic
1171	C₈	—	2	1	no	—
1172	C₈	—	2	1	no	—
1173	C₈	—	2	2	no	—
1174	C₈	—	2	2	no	—
1175	C₈	—	2	1	no	—
1176	C₈	—	2	1	no	—
1177	C₂²	—	2	2	no	—
1178	C₂²	—	2	2	no	—
1179	C₂²	—	2	1	no	—
1180	C₂²	—	2	1	no	—
1181	C₂²	—	2	1	no	—
1182	C₂²	—	2	2	no	—
1183	C₂²	—	4	1	no	—
1184	C₂²	—	4	1	no	—
1185	C₂²	—	4	2	no	—
1186	C₂²	—	4	1	no	—
1187	C₂²	—	4	1	no	—
1188	C₂²	—	4	2	no	—
1189	C₂²	—	4	2	no	—
1190	C₂²	—	4	2	no	—
1191	C₂²	—	4	1	no	—
1192	C₂²	—	4	1	no	—
1193	C₂²	—	4	2	no	—
1194	C₂²	—	4	2	no	—
1195	C₂²	—	4	1	no	—
1196	C₂²	—	4	1	no	—
1197	C₂²	—	8	8	no	—
1198	C₂²	—	8	4	no	—
1199	C₂²	—	16	4	no	—
1200	C₂²	C₂×C₁₃×AGL(1,ℤ/8)	1	4	yes	—
1201	C₂²	C₂³×D₄×C₁₃	1	1	yes	characteristic
1202	C₄	—	2	1	no	—
1203	C₄	—	2	2	no	—
1204	C₄	—	2	1	no	—
1205	C₄	—	2	2	no	—
1206	C₄	—	2	1	no	—
1207	C₄	—	2	1	no	—
1208	C₄	—	2	2	no	—
1209	C₄	—	4	1	no	—
1210	C₄	—	4	2	no	—
1211	C₄	—	4	1	no	—
1212	C₄	—	4	1	no	—
1213	C₄	—	4	1	no	—
1214	C₄	—	4	2	no	—
1215	C₄	—	4	1	no	—
1216	C₄	C₂×C₁₃×AGL(1,ℤ/8)	1	2	yes	—
1217	C₄	C₂×C₁₃×H(5,𝔽₂)	1	1	yes	characteristic
1218	C₄	C₁₃×#585	1	1	yes	characteristic
1219	C₂	—	2	4	no	—
1220	C₂	—	4	1	no	—
1221	C₂	—	4	2	no	—
1222	C₂	—	8	2	no	—
1223	C₂	—	8	1	no	—
1224	C₂	—	8	1	no	—
1225	C₂	—	8	2	no	—
1226	C₂	C₁₃×#3488	1	1	yes	characteristic
1227	C₂	C₂²×C₁₃×AGL(1,ℤ/8)	1	1	yes	characteristic
1228	C₂	C₁₃×#3584	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 ◁ C₄×C₁₃×#41 ◁ G

Complements

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

N	H ≅ G/N	type
1. C₁₃×#3514	C₂	semidirect
2. D₄×C₁₃×#41	C₂	semidirect
3. C₁₃×#3399	C₂	semidirect
4. C₁₃×#3397	C₂	semidirect
5. C₁₃×#3373	C₂	semidirect
6. C₁₃×#3367	C₂	semidirect
7. C₁₃×#3308	C₂	semidirect
8. C₁₃×#3306	C₂	semidirect
9. C₁₃×#3298	C₂	semidirect
10. C₁₃×#3294	C₂	semidirect
11. D₄×C₁₃×SD₁₆	C₂	semidirect
12. D₄×C₁₃×D₈	C₂	semidirect
13. C₁₃×#3265	C₂	semidirect
14. C₁₃×#3264	C₂	semidirect
15. C₁₃×#3251	C₂	semidirect
16. C₁₃×#3247	C₂	semidirect
17. C₁₃×#3213	C₂	semidirect
18. C₁₃×#3207	C₂	semidirect
19. C₁₃×#3114	C₂	semidirect
20. C₁₃×#3105	C₂	semidirect
21. C₁₃×#3036	C₂	semidirect
22. C₂×C₁₃×#463	C₂	semidirect
23. C₁₃×#2990	C₂	semidirect
25. C₂×C₁₃×AGL(1,ℤ/8)	C₂²	semidirect
26. C₂²×C₁₃×SD₁₆	C₂²	semidirect
28. C₁₃×#559	C₂²	semidirect
29. C₁₃×#556	C₂²	semidirect
32. C₁₃×#550	C₂²	semidirect
33. D₄×Q₈×C₁₃	C₂²	semidirect
34. D₄×Q₈×C₁₃	C₂²	semidirect
36. C₁₃×#548	C₂²	semidirect
38. C₁₃×#547	C₂²	semidirect
42. C₁₃×#546	C₂²	semidirect
44. D₄²×C₁₃	C₂²	semidirect
45. D₄²×C₁₃	C₂²	semidirect
48. C₁₃×#532	C₂²	semidirect
49. C₁₃×#532	C₂²	semidirect
50. C₁₃×#532	C₂²	semidirect
51. C₁₃×#529	C₂²	semidirect
52. C₁₃×#529	C₂²	semidirect
53. C₂×C₁₃×#124	C₂²	semidirect
58. C₂×C₄×D₄×C₁₃	C₂²	semidirect
59. C₂×C₄×D₄×C₁₃	C₂²	semidirect
60. C₁₃×#496	C₂²	semidirect
61. C₁₃×#496	C₂²	semidirect
62. C₁₃×#493	C₂²	semidirect
63. C₁₃×#492	C₂²	semidirect
64. C₁₃×#489	C₂²	semidirect
65. C₁₃×#489	C₂²	semidirect
66. C₁₃×#487	C₂²	semidirect
67. C₁₃×#486	C₂²	semidirect
68. C₁₃×#484	C₂²	semidirect
69. C₁₃×#483	C₂²	semidirect
70. C₁₃×#481	C₂²	semidirect
71. C₁₃×#480	C₂²	semidirect
72. C₁₃×#478	C₂²	semidirect
73. C₁₃×#478	C₂²	semidirect
74. C₁₃×#478	C₂²	semidirect
75. C₁₃×#477	C₂²	semidirect
76. C₁₃×#476	C₂²	semidirect
77. C₁₃×#475	C₂²	semidirect
78. C₁₃×#474	C₂²	semidirect
79. C₁₃×#469	C₂²	semidirect
80. C₁₃×#468	C₂²	semidirect
81. C₁₃×#466	C₂²	semidirect
82. C₁₃×#466	C₂²	semidirect
83. C₁₃×#465	C₂²	semidirect
84. C₁₃×#465	C₂²	semidirect
87. C₁₃×#463	C₂²	semidirect
88. C₁₃×#463	C₂²	semidirect
89. C₁₃×#463	C₂²	semidirect
90. C₁₃×#463	C₂²	semidirect
91. C₁₃×#463	C₂²	semidirect
92. C₁₃×#463	C₂²	semidirect
93. C₁₃×#463	C₂²	semidirect
94. C₁₃×#463	C₂²	semidirect
95. C₁₃×#463	C₂²	semidirect
96. C₁₃×#461	C₂²	semidirect
97. C₁₃×#461	C₂²	semidirect
98. C₁₃×#460	C₂²	semidirect
99. C₁₃×#460	C₂²	semidirect
101. C₁₃×#459	C₂²	semidirect
102. C₁₃×#459	C₂²	semidirect
103. C₁₃×#459	C₂²	semidirect
104. C₁₃×#450	C₂²	semidirect
105. C₁₃×#450	C₂²	semidirect
106. C₁₃×#449	C₂²	semidirect
107. C₁₃×#449	C₂²	semidirect
108. C₁₃×#448	C₂²	semidirect
109. C₁₃×#448	C₂²	semidirect
112. C₁₃×#447	C₂²	semidirect
113. C₁₃×#447	C₂²	semidirect
114. C₁₃×#446	C₂²	semidirect
115. C₁₃×#446	C₂²	semidirect
116. C₁₃×#442	C₂²	semidirect
117. C₁₃×#442	C₂²	semidirect
118. C₁₃×#440	C₂²	semidirect
119. C₁₃×#440	C₂²	semidirect
120. C₄×C₁₃×SD₁₆	C₂²	semidirect
121. C₄×C₁₃×SD₁₆	C₂²	semidirect
123. C₄×C₁₃×D₈	C₂²	semidirect
124. C₁₃×#435	C₂²	semidirect
125. C₁₃×#435	C₂²	semidirect
126. C₈×D₄×C₁₃	C₂²	semidirect
127. C₈×D₄×C₁₃	C₂²	semidirect
128. C₁₃×#432	C₂²	semidirect
129. C₁₃×#431	C₂²	semidirect
130. C₁₃×#423	C₂²	semidirect
131. C₂×C₁₃×C₄⋊C₈	C₂²	semidirect
132. C₁₃×#417	C₂²	semidirect
133. C₂×C₁₃×#103	C₂²	semidirect
134. C₂×C₁₃×#102	C₂²	semidirect
316. #61989	C₁₃	direct (N × H)
469. #3514	C₂×C₁₃	semidirect
470. D₄×#41	C₂×C₁₃	semidirect
471. #3399	C₂×C₁₃	semidirect
472. #3397	C₂×C₁₃	semidirect
473. #3373	C₂×C₁₃	semidirect
474. #3367	C₂×C₁₃	semidirect
475. #3308	C₂×C₁₃	semidirect
476. #3306	C₂×C₁₃	semidirect
477. #3298	C₂×C₁₃	semidirect
478. #3294	C₂×C₁₃	semidirect
479. D₄×SD₁₆	C₂×C₁₃	semidirect
480. D₄×D₈	C₂×C₁₃	semidirect
481. #3265	C₂×C₁₃	semidirect
482. #3264	C₂×C₁₃	semidirect
483. #3251	C₂×C₁₃	semidirect
484. #3247	C₂×C₁₃	semidirect
485. #3213	C₂×C₁₃	semidirect
486. #3207	C₂×C₁₃	semidirect
487. #3114	C₂×C₁₃	semidirect
488. #3105	C₂×C₁₃	semidirect
489. #3036	C₂×C₁₃	semidirect
490. C₂×#463	C₂×C₁₃	semidirect
491. #2990	C₂×C₁₃	semidirect
541. D₄×C₁₃	AGL(1,ℤ/8)	semidirect
587. C₂×AGL(1,ℤ/8)	C₂²×C₁₃	semidirect
588. C₂²×SD₁₆	C₂²×C₁₃	semidirect
590. #559	C₂²×C₁₃	semidirect
591. #556	C₂²×C₁₃	semidirect
594. #550	C₂²×C₁₃	semidirect
595. D₄×Q₈	C₂²×C₁₃	semidirect
596. D₄×Q₈	C₂²×C₁₃	semidirect
598. #548	C₂²×C₁₃	semidirect
600. #547	C₂²×C₁₃	semidirect
604. #546	C₂²×C₁₃	semidirect
606. D₄²	C₂²×C₁₃	semidirect
607. D₄²	C₂²×C₁₃	semidirect
610. #532	C₂²×C₁₃	semidirect
611. #532	C₂²×C₁₃	semidirect
612. #532	C₂²×C₁₃	semidirect
613. #529	C₂²×C₁₃	semidirect
614. #529	C₂²×C₁₃	semidirect
615. C₂×#124	C₂²×C₁₃	semidirect
620. C₂×C₄×D₄	C₂²×C₁₃	semidirect
621. C₂×C₄×D₄	C₂²×C₁₃	semidirect
622. #496	C₂²×C₁₃	semidirect
623. #496	C₂²×C₁₃	semidirect
624. #493	C₂²×C₁₃	semidirect
625. #492	C₂²×C₁₃	semidirect
626. #489	C₂²×C₁₃	semidirect
627. #489	C₂²×C₁₃	semidirect
628. #487	C₂²×C₁₃	semidirect
629. #486	C₂²×C₁₃	semidirect
630. #484	C₂²×C₁₃	semidirect
631. #483	C₂²×C₁₃	semidirect
632. #481	C₂²×C₁₃	semidirect
633. #480	C₂²×C₁₃	semidirect
634. #478	C₂²×C₁₃	semidirect
635. #478	C₂²×C₁₃	semidirect
636. #478	C₂²×C₁₃	semidirect
637. #477	C₂²×C₁₃	semidirect
638. #476	C₂²×C₁₃	semidirect
639. #475	C₂²×C₁₃	semidirect
640. #474	C₂²×C₁₃	semidirect
641. #469	C₂²×C₁₃	semidirect
642. #468	C₂²×C₁₃	semidirect
643. #466	C₂²×C₁₃	semidirect
644. #466	C₂²×C₁₃	semidirect
645. #465	C₂²×C₁₃	semidirect
646. #465	C₂²×C₁₃	semidirect
649. #463	C₂²×C₁₃	semidirect
650. #463	C₂²×C₁₃	semidirect
651. #463	C₂²×C₁₃	semidirect
652. #463	C₂²×C₁₃	semidirect
653. #463	C₂²×C₁₃	semidirect
654. #463	C₂²×C₁₃	semidirect
655. #463	C₂²×C₁₃	semidirect
656. #463	C₂²×C₁₃	semidirect
657. #463	C₂²×C₁₃	semidirect
658. #461	C₂²×C₁₃	semidirect
659. #461	C₂²×C₁₃	semidirect
660. #460	C₂²×C₁₃	semidirect
661. #460	C₂²×C₁₃	semidirect
663. #459	C₂²×C₁₃	semidirect
664. #459	C₂²×C₁₃	semidirect
665. #459	C₂²×C₁₃	semidirect
666. #450	C₂²×C₁₃	semidirect
667. #450	C₂²×C₁₃	semidirect
668. #449	C₂²×C₁₃	semidirect
669. #449	C₂²×C₁₃	semidirect
670. #448	C₂²×C₁₃	semidirect
671. #448	C₂²×C₁₃	semidirect
674. #447	C₂²×C₁₃	semidirect
675. #447	C₂²×C₁₃	semidirect
676. #446	C₂²×C₁₃	semidirect
677. #446	C₂²×C₁₃	semidirect
678. #442	C₂²×C₁₃	semidirect
679. #442	C₂²×C₁₃	semidirect
680. #440	C₂²×C₁₃	semidirect
681. #440	C₂²×C₁₃	semidirect
682. C₄×SD₁₆	C₂²×C₁₃	semidirect
683. C₄×SD₁₆	C₂²×C₁₃	semidirect
685. C₄×D₈	C₂²×C₁₃	semidirect
686. #435	C₂²×C₁₃	semidirect
687. #435	C₂²×C₁₃	semidirect
688. C₈×D₄	C₂²×C₁₃	semidirect
689. C₈×D₄	C₂²×C₁₃	semidirect
690. #432	C₂²×C₁₃	semidirect
691. #431	C₂²×C₁₃	semidirect
692. #423	C₂²×C₁₃	semidirect
693. C₂×C₄⋊C₈	C₂²×C₁₃	semidirect
694. #417	C₂²×C₁₃	semidirect
695. C₂×#103	C₂²×C₁₃	semidirect
696. C₂×#102	C₂²×C₁₃	semidirect
1082. C₁₃	#61989	direct (N × H)
1132. D₄	C₁₃×AGL(1,ℤ/8)	semidirect

Maximal subgroups

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

subgroup	index
C₁₃×#3514	2
D₄×C₁₃×#41	2
C₁₃×#3399	2
C₁₃×#3397	2
C₁₃×#3373	2
C₁₃×#3367	2
C₁₃×#3308	2
C₁₃×#3306	2
C₁₃×#3298	2
C₁₃×#3294	2
D₄×C₁₃×SD₁₆	2
D₄×C₁₃×D₈	2
C₁₃×#3265	2
C₁₃×#3264	2
C₁₃×#3251	2
C₁₃×#3247	2
C₁₃×#3213	2
C₁₃×#3207	2
C₁₃×#3114	2
C₁₃×#3105	2
C₁₃×#3036	2
C₂×C₁₃×#463	2
C₁₃×#2990	2
#61989	13

Subgroups — C13×#61989 #15748328

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₃×#61989 #15748328