Subgroups — C₁₃×#61078 #15747417

Order 3328.

2694 conjugacy classes of subgroups.

The subgroup lattice has 1402 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×C₁₃×#578	C₂	1	1	yes	maximal, characteristic, complemented
2	C₂×C₁₃×#575	C₂	1	1	yes	maximal, characteristic, complemented
3	C₁₃×#3489	C₂	1	1	yes	maximal, characteristic, complemented
4	C₁₃×#3487	C₂	1	1	yes	maximal, characteristic, complemented
5	C₁₃×#3285	C₂	1	2	yes	maximal, complemented
6	C₁₃×#3284	C₂	1	2	yes	maximal, complemented
7	C₁₃×#3278	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×#3268	C₂	1	2	yes	maximal, complemented
13	C₁₃×#3154	C₂	1	1	yes	maximal, characteristic, complemented
14	C₁₃×#3062	C₂	1	1	yes	maximal, characteristic, complemented
15	C₁₃×#3056	C₂	1	1	yes	maximal, characteristic, complemented
16	C₁₃×#3045	C₂	1	1	yes	maximal, characteristic, complemented
17	C₁₃×#3044	C₂	1	1	yes	maximal, characteristic, complemented
18	C₁₃×#3013	C₂	1	1	yes	maximal, characteristic, complemented
19	C₁₃×#3010	C₂	1	1	yes	maximal, characteristic, complemented
20	C₁₃×#3002	C₂	1	1	yes	maximal, characteristic, complemented
21	C₂×C₁₃×#452	C₂	1	1	yes	maximal, characteristic, complemented
22	C₁₃×#2947	C₂	1	1	yes	maximal, characteristic, complemented
23	C₁₃×#2933	C₂	1	1	yes	maximal, characteristic, complemented
24	C₂×C₁₃×2₋¹⁺⁴	C₂²	1	1	yes	characteristic
25	C₂×C₁₃×2₋¹⁺⁴	C₂²	1	1	yes	characteristic, complemented
26	C₂²×C₁₃×#41	C₂²	1	1	yes	characteristic
27	C₂²×C₁₃×#41	C₂²	1	1	yes	characteristic
28	C₁₃×#578	—	2	8	no	—
29	C₁₃×#575	—	2	8	no	—
30	C₂×C₁₃×#137	C₂²	1	1	yes	characteristic
31	C₂×C₁₃×#137	C₂²	1	2	yes	—
32	C₂×C₁₃×#137	C₂²	1	1	yes	characteristic
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×AGL(1,ℤ/8)	C₂²	1	1	yes	characteristic
37	C₂×C₁₃×AGL(1,ℤ/8)	C₂²	1	2	yes	—
38	C₂×C₁₃×AGL(1,ℤ/8)	C₂²	1	1	yes	characteristic
39	C₂×C₁₃×#135	C₂²	1	2	yes	—
40	C₂×C₁₃×#135	C₂²	1	2	yes	—
41	C₂×C₁₃×#135	C₂²	1	1	yes	characteristic
42	C₂×C₁₃×#135	C₂²	1	1	yes	characteristic
43	C₂×C₁₃×#135	C₂²	1	2	yes	complemented
44	C₂²×C₁₃×Q₁₆	C₂²	1	2	yes	complemented
45	C₂²×C₁₃×Q₁₆	C₂²	1	1	yes	characteristic, complemented
46	C₂²×C₁₃×SD₁₆	C₂²	1	1	yes	characteristic, complemented
47	C₂×C₁₃×#131	C₂²	1	1	yes	characteristic, complemented
48	C₂²×C₁₃×M₁₆	C₂²	1	1	yes	characteristic
49	C₁₃×#550	—	2	1	no	—
50	C₁₃×#550	—	2	1	no	—
51	C₁₃×#550	C₂²	1	2	yes	—
52	C₁₃×#550	C₂²	1	2	yes	complemented
53	D₄×Q₈×C₁₃	C₂²	1	2	yes	complemented
54	C₁₃×#548	—	2	1	no	—
55	C₁₃×#548	—	2	1	no	—
56	C₁₃×#548	C₂²	1	2	yes	—
57	C₁₃×#548	C₂²	1	2	yes	complemented
58	C₁₃×#548	C₂²	1	2	yes	complemented
59	C₁₃×#547	—	2	2	no	—
60	C₁₃×#547	C₂²	1	2	yes	complemented
61	C₁₃×#546	—	2	2	no	—
62	C₁₃×#546	C₂²	1	2	yes	complemented
63	C₁₃×#537	—	2	1	no	—
64	C₁₃×#537	C₂²	1	1	yes	characteristic
65	C₁₃×#536	—	2	1	no	—
66	C₁₃×#536	C₂²	1	1	yes	characteristic
67	C₁₃×#535	—	2	2	no	—
68	C₁₃×#535	C₂²	1	1	yes	characteristic, complemented
69	C₁₃×#535	C₂²	1	1	yes	characteristic, complemented
70	C₁₃×#525	—	2	2	no	—
71	C₁₃×#525	—	2	1	no	—
72	C₁₃×#525	C₂²	1	1	yes	characteristic
73	C₁₃×#525	C₂²	1	1	yes	characteristic
74	C₂×C₁₃×C₂²⋊Q₈	—	2	1	no	—
75	C₂×C₁₃×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
76	C₁₃×#520	C₂²	1	1	yes	characteristic
77	C₁₃×#519	C₂²	1	1	yes	characteristic, complemented
78	C₁₃×#497	C₂²	1	2	yes	complemented
79	C₁₃×#496	C₂²	1	2	yes	complemented
80	C₁₃×#495	C₂²	1	2	yes	complemented
81	C₁₃×#492	C₂²	1	2	yes	complemented
82	C₁₃×#470	C₂²	1	2	yes	complemented
83	C₁₃×#469	C₂²	1	2	yes	complemented
84	C₁₃×#468	C₂²	1	2	yes	complemented
85	C₁₃×#468	C₂²	1	2	yes	complemented
86	C₁₃×#467	C₂²	1	2	yes	complemented
87	C₁₃×#466	C₂²	1	2	yes	complemented
88	C₁₃×#465	C₂²	1	2	yes	complemented
89	C₁₃×#465	C₂²	1	2	yes	complemented
90	C₁₃×#464	C₂²	1	2	yes	complemented
91	C₁₃×#464	C₂²	1	2	yes	complemented
92	C₁₃×#464	C₂²	1	2	yes	complemented
93	C₁₃×#463	C₂²	1	2	yes	complemented
94	C₁₃×#462	C₂²	1	2	yes	complemented
95	C₁₃×#462	C₂²	1	2	yes	complemented
96	C₁₃×#460	C₂²	1	2	yes	complemented
97	C₁₃×#459	C₂²	1	2	yes	complemented
98	C₁₃×#452	C₂²	1	2	yes	—
99	C₁₃×#452	C₂²	1	2	yes	—
100	C₁₃×#452	C₂²	1	2	yes	complemented
101	C₁₃×#452	C₂²	1	1	yes	characteristic, complemented
102	C₁₃×#452	C₂²	1	2	yes	complemented
103	C₁₃×#452	C₂²	1	2	yes	complemented
104	C₁₃×#452	C₂²	1	1	yes	characteristic, complemented
105	C₁₃×#451	C₂²	1	2	yes	complemented
106	C₁₃×#451	C₂²	1	1	yes	characteristic, complemented
107	C₁₃×#450	C₂²	1	1	yes	characteristic, complemented
108	C₁₃×#449	C₂²	1	2	yes	complemented
109	C₁₃×#449	C₂²	1	2	yes	complemented
110	C₁₃×#449	C₂²	1	2	yes	complemented
111	C₁₃×#449	C₂²	1	1	yes	characteristic, complemented
112	C₁₃×#449	C₂²	1	1	yes	characteristic, complemented
113	C₁₃×#448	C₂²	1	2	yes	complemented
114	C₁₃×#448	C₂²	1	2	yes	complemented
115	C₁₃×#448	C₂²	1	2	yes	complemented
116	C₁₃×#448	C₂²	1	1	yes	characteristic, complemented
117	C₁₃×#447	C₂²	1	1	yes	characteristic, complemented
118	C₁₃×#441	C₂²	1	2	yes	complemented
119	C₁₃×#440	C₂²	1	2	yes	complemented
120	C₄×C₁₃×Q₁₆	C₂²	1	2	yes	complemented
121	C₄×C₁₃×SD₁₆	C₂²	1	2	yes	complemented
122	C₁₃×#436	C₂²	1	2	yes	complemented
123	C₁₃×#435	C₂²	1	2	yes	complemented
124	C₁₃×#435	C₂²	1	2	yes	complemented
125	C₈×D₄×C₁₃	C₂²	1	2	yes	complemented
126	C₁₃×#428	C₂²	1	1	yes	characteristic, complemented
127	C₁₃×#424	C₂²	1	1	yes	characteristic, complemented
128	C₁₃×#419	C₂²	1	1	yes	characteristic, complemented
129	C₁₃×#417	C₂²	1	1	yes	characteristic, complemented
130	C₁₃×#416	C₂²	1	1	yes	characteristic
131	C₁₃×#416	C₂²	1	1	yes	characteristic
132	C₂×C₁₃×#103	C₂²	1	1	yes	characteristic, complemented
133	C₂×C₁₃×#102	C₂²	1	1	yes	characteristic, complemented
134	C₁₃×#408	C₂²	1	1	yes	characteristic, complemented
135	C₂×C₁₃×C₂²⋊C₈	C₂²	1	1	yes	characteristic
136	C₁₃×#405	C₂²	1	1	yes	characteristic, complemented
137	C₁₃×2₋¹⁺⁴	—	2	4	no	—
138	C₁₃×2₋¹⁺⁴	—	2	4	no	—
139	C₁₃×2₋¹⁺⁴	—	4	2	no	—
140	C₁₃×2₋¹⁺⁴	—	4	2	no	—
141	C₂×C₁₃×#41	—	2	2	no	—
142	C₂×C₁₃×#41	—	2	1	no	—
143	C₂×C₁₃×#41	—	2	2	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	1	no	—
148	C₂×C₁₃×#41	—	2	1	no	—
149	C₂×C₁₃×#41	—	2	4	no	—
150	C₂×C₁₃×#41	—	2	4	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	2	yes	—
156	C₂×C₁₃×#41	C₂³	1	1	yes	characteristic
157	C₂×C₁₃×#41	C₂³	1	1	yes	characteristic
158	C₂×C₁₃×#41	C₂³	1	2	yes	—
159	C₂×C₁₃×#41	C₂³	1	2	yes	—
160	C₂×C₁₃×#41	C₂³	1	2	yes	—
161	C₂×C₁₃×#41	C₂³	1	1	yes	characteristic
162	C₂×C₁₃×#41	C₂³	1	1	yes	characteristic
163	C₂²×Q₈×C₁₃	—	2	1	no	—
164	C₂²×Q₈×C₁₃	—	2	1	no	—
165	C₂²×Q₈×C₁₃	C₂³	1	1	yes	characteristic
166	C₂²×Q₈×C₁₃	C₂³	1	2	yes	—
167	C₂²×Q₈×C₁₃	C₂³	1	2	yes	—
168	C₂²×Q₈×C₁₃	C₂³	1	1	yes	characteristic
169	C₂²×Q₈×C₁₃	C₂³	1	1	yes	characteristic
170	C₂²×D₄×C₁₃	—	2	1	no	—
171	C₂²×D₄×C₁₃	—	2	1	no	—
172	C₂²×D₄×C₁₃	C₂³	1	1	yes	characteristic
173	C₂²×D₄×C₁₃	C₂³	1	1	yes	characteristic
174	C₂³×C₄×C₁₃	—	2	1	no	—
175	C₂³×C₄×C₁₃	—	2	1	no	—
176	C₂³×C₄×C₁₃	C₂³	1	1	yes	characteristic
177	C₁₃×#137	—	2	4	no	—
178	C₁₃×#137	—	2	8	no	—
179	C₁₃×#137	—	2	8	no	—
180	C₁₃×#137	—	2	8	no	—
181	C₁₃×#137	—	2	4	no	—
182	C₁₃×#137	D₄	1	8	yes	complemented
183	C₁₃×AGL(1,ℤ/8)	—	2	4	no	—
184	C₁₃×AGL(1,ℤ/8)	—	2	8	no	—
185	C₁₃×AGL(1,ℤ/8)	—	2	4	no	—
186	C₁₃×#135	—	2	4	no	—
187	C₁₃×#135	—	2	8	no	—
188	C₁₃×#135	—	2	8	no	—
189	C₁₃×#135	—	2	8	no	—
190	C₁₃×#135	—	4	2	no	—
191	C₂×C₁₃×Q₁₆	—	2	4	no	—
192	C₂×C₁₃×Q₁₆	—	2	8	no	—
193	C₂×C₁₃×Q₁₆	C₂³	1	2	yes	—
194	C₂×C₁₃×Q₁₆	C₂³	1	1	yes	characteristic
195	C₂×C₁₃×Q₁₆	C₂³	1	2	yes	—
196	C₂×C₁₃×Q₁₆	C₂³	1	2	yes	—
197	C₂×C₁₃×Q₁₆	C₂³	1	2	yes	—
198	C₂×C₁₃×Q₁₆	C₂³	1	1	yes	characteristic
199	C₂×C₁₃×Q₁₆	C₂³	1	2	yes	—
200	C₂×C₁₃×SD₁₆	—	4	2	no	—
201	C₂×C₁₃×SD₁₆	C₂³	1	2	yes	—
202	C₂×C₁₃×SD₁₆	C₂³	1	1	yes	characteristic
203	C₂×C₁₃×SD₁₆	C₂³	1	2	yes	—
204	C₂×C₁₃×SD₁₆	C₂³	1	1	yes	characteristic
205	C₂×C₁₃×SD₁₆	C₂³	1	2	yes	—
206	C₂×C₁₃×SD₁₆	C₂³	1	2	yes	—
207	C₂×C₁₃×SD₁₆	C₂³	1	1	yes	characteristic
208	C₂×C₁₃×SD₁₆	C₂³	1	2	yes	—
209	C₂×C₁₃×SD₁₆	C₂³	1	2	yes	—
210	C₂×C₁₃×SD₁₆	C₂³	1	1	yes	characteristic
211	C₂×C₁₃×SD₁₆	C₂³	1	2	yes	—
212	C₂×C₁₃×D₈	C₂³	1	1	yes	characteristic
213	C₂×C₁₃×D₈	C₂³	1	2	yes	—
214	C₂×C₁₃×D₈	C₂³	1	2	yes	—
215	C₂×C₁₃×D₈	C₂³	1	1	yes	characteristic
216	C₁₃×#131	—	2	4	no	—
217	C₂×C₁₃×M₁₆	—	2	4	no	—
218	C₂×C₁₃×M₁₆	C₂³	1	1	yes	characteristic
219	C₂×C₁₃×M₁₆	C₂³	1	2	yes	—
220	C₂×C₁₃×M₁₆	C₂³	1	2	yes	—
221	C₂×C₁₃×M₁₆	C₂³	1	1	yes	characteristic
222	C₂²×C₈×C₁₃	C₂³	1	1	yes	characteristic
223	C₂²×C₈×C₁₃	C₂³	1	1	yes	characteristic
224	C₂²×C₈×C₁₃	C₂³	1	2	yes	—
225	C₂²×C₈×C₁₃	C₂³	1	2	yes	—
226	C₁₃×C₄⋊Q₈	—	2	2	no	—
227	C₁₃×C₄⋊Q₈	C₂³	1	2	yes	—
228	C₁₃×#127	—	2	2	no	—
229	C₁₃×#127	—	2	2	no	—
230	C₁₃×#127	—	2	1	no	—
231	C₁₃×#127	C₂³	1	2	yes	—
232	C₁₃×#124	—	2	1	no	—
233	C₁₃×#124	—	2	2	no	—
234	C₁₃×#124	—	2	2	no	—
235	C₁₃×#124	—	2	2	no	—
236	C₁₃×#124	C₂³	1	2	yes	—
237	C₁₃×#124	C₂³	1	2	yes	—
238	C₁₃×#123	—	2	1	no	—
239	C₁₃×#123	—	2	2	no	—
240	C₁₃×#123	—	2	2	no	—
241	C₁₃×#123	—	2	2	no	—
242	C₁₃×#123	—	2	2	no	—
243	C₁₃×#123	D₄	1	2	yes	—
244	C₁₃×C₂²⋊Q₈	—	2	1	no	—
245	C₁₃×C₂²⋊Q₈	—	2	1	no	—
246	C₁₃×C₂²⋊Q₈	—	2	1	no	—
247	C₁₃×C₂²⋊Q₈	—	2	1	no	—
248	C₁₃×C₂²⋊Q₈	—	2	2	no	—
249	C₁₃×C₂²⋊Q₈	—	2	1	no	—
250	C₁₃×C₂²⋊Q₈	—	2	2	no	—
251	C₁₃×C₂²⋊Q₈	—	2	2	no	—
252	C₁₃×C₂²⋊Q₈	—	2	2	no	—
253	C₁₃×C₂²⋊Q₈	—	2	2	no	—
254	C₁₃×C₂²⋊Q₈	D₄	1	1	yes	characteristic
255	C₁₃×C₂²⋊Q₈	D₄	1	1	yes	characteristic
256	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
257	C₁₃×C₂²⋊Q₈	C₂³	1	2	yes	—
258	C₁₃×C₂²⋊Q₈	C₂³	1	2	yes	—
259	C₁₃×C₂²⋊Q₈	C₂³	1	2	yes	—
260	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
261	C₁₃×#121	—	2	1	no	—
262	C₁₃×#121	—	2	2	no	—
263	C₁₃×#121	—	2	2	no	—
264	C₁₃×#121	—	2	2	no	—
265	C₁₃×#121	—	2	2	no	—
266	C₁₃×#121	—	2	2	no	—
267	C₁₃×#121	—	2	1	no	—
268	C₁₃×#121	—	2	1	no	—
269	C₁₃×#121	—	2	2	no	—
270	C₁₃×#121	—	2	2	no	—
271	C₁₃×#121	—	2	2	no	—
272	C₁₃×#121	—	2	2	no	—
273	C₁₃×#121	—	2	2	no	—
274	C₁₃×#121	D₄	1	1	yes	characteristic
275	C₁₃×#121	D₄	1	1	yes	characteristic
276	C₁₃×#121	C₂³	1	1	yes	characteristic
277	C₁₃×#121	C₂³	1	2	yes	—
278	C₁₃×#121	C₂³	1	2	yes	—
279	C₁₃×#121	C₂³	1	2	yes	—
280	C₁₃×#121	C₂³	1	1	yes	characteristic
281	C₁₃×#120	—	2	1	no	—
282	C₁₃×#120	—	2	2	no	—
283	C₁₃×#120	—	2	2	no	—
284	C₁₃×#120	—	2	2	no	—
285	C₁₃×#120	D₄	1	2	yes	—
286	C₄×Q₈×C₁₃	—	2	1	no	—
287	C₄×Q₈×C₁₃	—	2	1	no	—
288	C₄×Q₈×C₁₃	C₂³	1	2	yes	—
289	C₄×Q₈×C₁₃	C₂³	1	2	yes	—
290	C₄×Q₈×C₁₃	C₂³	1	2	yes	—
291	C₄×D₄×C₁₃	—	2	2	no	—
292	C₄×D₄×C₁₃	—	2	1	no	—
293	C₄×D₄×C₁₃	—	2	1	no	—
294	C₄×D₄×C₁₃	—	2	2	no	—
295	C₄×D₄×C₁₃	—	2	2	no	—
296	C₄×D₄×C₁₃	—	2	2	no	—
297	C₄×D₄×C₁₃	—	2	2	no	—
298	C₄×D₄×C₁₃	—	2	2	no	—
299	C₄×D₄×C₁₃	—	2	2	no	—
300	C₄×D₄×C₁₃	C₂³	1	2	yes	—
301	C₄×D₄×C₁₃	C₂³	1	2	yes	—
302	C₄×D₄×C₁₃	C₂³	1	2	yes	—
303	C₁₃×#117	—	2	1	no	—
304	C₁₃×#117	—	2	2	no	—
305	C₁₃×#117	C₂³	1	1	yes	characteristic
306	C₁₃×#117	C₂³	1	1	yes	characteristic
307	C₂×C₁₃×C₄⋊C₄	—	2	1	no	—
308	C₂×C₁₃×C₄⋊C₄	—	2	1	no	—
309	C₂×C₁₃×C₄⋊C₄	—	2	2	no	—
310	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
311	C₂×C₁₃×C₂²⋊C₄	—	2	1	no	—
312	C₂×C₁₃×C₂²⋊C₄	—	2	2	no	—
313	C₁₃×#107	C₂³	1	2	yes	—
314	C₁₃×#106	C₂³	1	2	yes	—
315	C₁₃×C₄⋊C₈	C₂³	1	2	yes	—
316	C₁₃×C₄⋊C₈	C₂³	1	2	yes	—
317	C₁₃×#103	C₂³	1	2	yes	—
318	C₁₃×#103	C₂³	1	2	yes	—
319	C₁₃×#103	C₂³	1	1	yes	characteristic
320	C₁₃×#103	C₂³	1	1	yes	characteristic
321	C₁₃×#103	C₂³	1	1	yes	characteristic
322	C₁₃×#103	C₂³	1	1	yes	characteristic
323	C₁₃×#103	C₂³	1	2	yes	—
324	C₁₃×#103	C₂³	1	2	yes	—
325	C₁₃×#103	C₂³	1	2	yes	—
326	C₁₃×#102	C₂³	1	2	yes	—
327	C₁₃×#102	C₂³	1	2	yes	—
328	C₁₃×#102	C₂³	1	1	yes	characteristic
329	C₁₃×#102	C₂³	1	1	yes	characteristic
330	C₁₃×#102	C₂³	1	1	yes	characteristic
331	C₁₃×#102	C₂³	1	1	yes	characteristic
332	C₁₃×#102	C₂³	1	2	yes	—
333	C₁₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
334	C₁₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
335	C₁₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
336	C₁₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
337	C₁₃×C₂²⋊C₈	C₂³	1	2	yes	—
338	C₁₃×C₂²⋊C₈	C₂³	1	2	yes	—
339	C₁₃×#97	C₂³	1	2	yes	—
340	C₄×C₈×C₁₃	C₂³	1	2	yes	—
341	#61078	C₁₃	1	1	yes	maximal, characteristic, direct product factor, Sylow
342	C₂⁴×C₁₃	—	2	1	no	—
343	C₂⁴×C₁₃	—	2	1	no	—
344	C₂⁴×C₁₃	C₂×D₄	1	1	yes	characteristic
345	C₁₃×#41	—	2	2	no	—
346	C₁₃×#41	—	2	2	no	—
347	C₁₃×#41	—	2	2	no	—
348	C₁₃×#41	—	2	2	no	—
349	C₁₃×#41	—	2	4	no	—
350	C₁₃×#41	—	2	4	no	—
351	C₁₃×#41	—	2	4	no	—
352	C₁₃×#41	—	2	2	no	—
353	C₁₃×#41	—	2	4	no	—
354	C₁₃×#41	—	2	2	no	—
355	C₁₃×#41	—	2	2	no	—
356	C₁₃×#41	—	2	2	no	—
357	C₁₃×#41	—	2	2	no	—
358	C₁₃×#41	—	4	4	no	—
359	C₁₃×#41	—	4	2	no	—
360	C₁₃×#41	—	4	1	no	—
361	C₁₃×#41	—	4	2	no	—
362	C₁₃×#41	—	4	1	no	—
363	C₁₃×#41	—	4	2	no	—
364	C₁₃×#41	—	4	2	no	—
365	C₁₃×#41	—	4	4	no	—
366	C₁₃×#41	—	4	8	no	—
367	C₁₃×#41	—	4	4	no	—
368	C₁₃×#41	—	4	4	no	—
369	C₁₃×#41	—	4	4	no	—
370	C₁₃×#41	—	4	8	no	—
371	C₁₃×#41	—	4	4	no	—
372	C₁₃×#41	C₂×D₄	1	4	yes	—
373	C₂×Q₈×C₁₃	—	2	1	no	—
374	C₂×Q₈×C₁₃	—	2	1	no	—
375	C₂×Q₈×C₁₃	—	2	2	no	—
376	C₂×Q₈×C₁₃	—	2	2	no	—
377	C₂×Q₈×C₁₃	—	2	1	no	—
378	C₂×Q₈×C₁₃	—	2	2	no	—
379	C₂×Q₈×C₁₃	—	2	4	no	—
380	C₂×Q₈×C₁₃	—	2	4	no	—
381	C₂×Q₈×C₁₃	—	2	2	no	—
382	C₂×Q₈×C₁₃	—	2	2	no	—
383	C₂×Q₈×C₁₃	—	2	2	no	—
384	C₂×Q₈×C₁₃	—	4	1	no	—
385	C₂×Q₈×C₁₃	—	4	2	no	—
386	C₂×Q₈×C₁₃	—	4	2	no	—
387	C₂×Q₈×C₁₃	—	4	4	no	—
388	C₂×Q₈×C₁₃	—	4	4	no	—
389	C₂×Q₈×C₁₃	C₂×D₄	1	4	yes	—
390	C₂×Q₈×C₁₃	C₂×D₄	1	1	yes	characteristic
391	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
392	C₂×Q₈×C₁₃	C₂⁴	1	2	yes	—
393	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
394	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
395	C₂×Q₈×C₁₃	C₂⁴	1	2	yes	—
396	C₂×D₄×C₁₃	—	2	1	no	—
397	C₂×D₄×C₁₃	—	2	2	no	—
398	C₂×D₄×C₁₃	—	2	1	no	—
399	C₂×D₄×C₁₃	—	2	2	no	—
400	C₂×D₄×C₁₃	—	2	1	no	—
401	C₂×D₄×C₁₃	—	2	1	no	—
402	C₂×D₄×C₁₃	—	2	1	no	—
403	C₂×D₄×C₁₃	—	2	2	no	—
404	C₂×D₄×C₁₃	—	2	2	no	—
405	C₂×D₄×C₁₃	—	2	2	no	—
406	C₂×D₄×C₁₃	—	2	2	no	—
407	C₂×D₄×C₁₃	—	2	2	no	—
408	C₂×D₄×C₁₃	—	2	2	no	—
409	C₂×D₄×C₁₃	—	2	1	no	—
410	C₂×D₄×C₁₃	—	2	1	no	—
411	C₂×D₄×C₁₃	—	2	2	no	—
412	C₂×D₄×C₁₃	—	2	1	no	—
413	C₂×D₄×C₁₃	—	2	1	no	—
414	C₂×D₄×C₁₃	—	2	2	no	—
415	C₂×D₄×C₁₃	—	2	2	no	—
416	C₂×D₄×C₁₃	—	2	2	no	—
417	C₂×D₄×C₁₃	—	4	1	no	—
418	C₂×D₄×C₁₃	—	4	4	no	—
419	C₂×D₄×C₁₃	—	4	4	no	—
420	C₂×D₄×C₁₃	C₂×D₄	1	2	yes	—
421	C₂×D₄×C₁₃	C₂×D₄	1	1	yes	characteristic
422	C₂×D₄×C₁₃	C₂×D₄	1	2	yes	—
423	C₂×D₄×C₁₃	C₂×D₄	1	2	yes	—
424	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
425	C₂×D₄×C₁₃	C₂⁴	1	2	yes	—
426	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
427	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
428	C₂²×C₄×C₁₃	—	2	1	no	—
429	C₂²×C₄×C₁₃	—	2	1	no	—
430	C₂²×C₄×C₁₃	—	2	2	no	—
431	C₂²×C₄×C₁₃	—	2	2	no	—
432	C₂²×C₄×C₁₃	—	2	1	no	—
433	C₂²×C₄×C₁₃	—	2	2	no	—
434	C₂²×C₄×C₁₃	—	2	2	no	—
435	C₂²×C₄×C₁₃	—	2	1	no	—
436	C₂²×C₄×C₁₃	—	2	1	no	—
437	C₂²×C₄×C₁₃	—	2	2	no	—
438	C₂²×C₄×C₁₃	—	2	1	no	—
439	C₂²×C₄×C₁₃	—	2	2	no	—
440	C₂²×C₄×C₁₃	—	2	1	no	—
441	C₂²×C₄×C₁₃	—	2	2	no	—
442	C₂²×C₄×C₁₃	—	2	2	no	—
443	C₂²×C₄×C₁₃	—	2	1	no	—
444	C₂²×C₄×C₁₃	—	2	1	no	—
445	C₂²×C₄×C₁₃	—	2	2	no	—
446	C₂²×C₄×C₁₃	—	4	4	no	—
447	C₂²×C₄×C₁₃	—	4	4	no	—
448	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
449	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
450	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
451	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
452	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
453	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
454	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
455	C₁₃×Q₁₆	—	2	2	no	—
456	C₁₃×Q₁₆	—	2	4	no	—
457	C₁₃×Q₁₆	—	2	4	no	—
458	C₁₃×Q₁₆	—	2	4	no	—
459	C₁₃×Q₁₆	—	2	4	no	—
460	C₁₃×Q₁₆	—	4	1	no	—
461	C₁₃×Q₁₆	C₂×D₄	1	8	yes	—
462	C₁₃×SD₁₆	—	2	4	no	—
463	C₁₃×SD₁₆	—	2	4	no	—
464	C₁₃×SD₁₆	—	2	2	no	—
465	C₁₃×SD₁₆	—	2	2	no	—
466	C₁₃×SD₁₆	—	2	4	no	—
467	C₁₃×SD₁₆	—	2	4	no	—
468	C₁₃×SD₁₆	—	4	2	no	—
469	C₁₃×SD₁₆	—	4	2	no	—
470	C₁₃×SD₁₆	—	4	1	no	—
471	C₁₃×SD₁₆	—	4	1	no	—
472	C₁₃×SD₁₆	C₂×D₄	1	8	yes	—
473	C₁₃×D₈	—	2	2	no	—
474	C₁₃×D₈	—	2	4	no	—
475	C₁₃×D₈	—	2	4	no	—
476	C₁₃×D₈	—	4	1	no	—
477	C₁₃×M₁₆	—	2	2	no	—
478	C₁₃×M₁₆	—	2	4	no	—
479	C₁₃×M₁₆	—	2	4	no	—
480	C₁₃×M₁₆	C₂×D₄	1	4	yes	—
481	C₂×C₈×C₁₃	—	2	2	no	—
482	C₂×C₈×C₁₃	—	2	2	no	—
483	C₂×C₈×C₁₃	—	2	4	no	—
484	C₂×C₈×C₁₃	—	2	4	no	—
485	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
486	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
487	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
488	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
489	C₂×C₈×C₁₃	C₂⁴	1	2	yes	—
490	C₂×C₈×C₁₃	C₂⁴	1	2	yes	—
491	C₁₃×C₄⋊C₄	—	2	2	no	—
492	C₁₃×C₄⋊C₄	—	2	1	no	—
493	C₁₃×C₄⋊C₄	—	2	2	no	—
494	C₁₃×C₄⋊C₄	—	2	2	no	—
495	C₁₃×C₄⋊C₄	—	2	2	no	—
496	C₁₃×C₄⋊C₄	—	2	2	no	—
497	C₁₃×C₄⋊C₄	—	2	2	no	—
498	C₁₃×C₄⋊C₄	—	2	2	no	—
499	C₁₃×C₄⋊C₄	—	2	1	no	—
500	C₁₃×C₄⋊C₄	—	2	1	no	—
501	C₁₃×C₄⋊C₄	—	2	2	no	—
502	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
503	C₁₃×C₄⋊C₄	C₂×D₄	1	2	yes	—
504	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
505	C₁₃×C₄⋊C₄	C₂×D₄	1	2	yes	—
506	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
507	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
508	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
509	C₁₃×C₂²⋊C₄	—	2	2	no	—
510	C₁₃×C₂²⋊C₄	—	2	2	no	—
511	C₁₃×C₂²⋊C₄	—	2	1	no	—
512	C₁₃×C₂²⋊C₄	—	2	1	no	—
513	C₁₃×C₂²⋊C₄	—	2	1	no	—
514	C₁₃×C₂²⋊C₄	—	2	2	no	—
515	C₁₃×C₂²⋊C₄	—	2	2	no	—
516	C₁₃×C₂²⋊C₄	—	2	2	no	—
517	C₁₃×C₂²⋊C₄	—	2	2	no	—
518	C₁₃×C₂²⋊C₄	—	2	1	no	—
519	C₁₃×C₂²⋊C₄	—	2	1	no	—
520	C₁₃×C₂²⋊C₄	—	2	2	no	—
521	C₁₃×C₂²⋊C₄	—	2	2	no	—
522	C₁₃×C₂²⋊C₄	—	2	2	no	—
523	C₁₃×C₂²⋊C₄	—	2	2	no	—
524	C₁₃×C₂²⋊C₄	—	2	2	no	—
525	C₁₃×C₂²⋊C₄	C₂×D₄	1	2	yes	—
526	C₁₃×C₂²⋊C₄	C₂×D₄	1	2	yes	—
527	C₁₃×C₂²⋊C₄	C₂×D₄	1	2	yes	—
528	C₁₃×C₂²⋊C₄	C₂×D₄	1	2	yes	—
529	C₁₃×C₂²⋊C₄	C₂×D₄	1	2	yes	—
530	C₄²×C₁₃	—	2	2	no	—
531	C₄²×C₁₃	—	2	2	no	—
532	C₄²×C₁₃	—	2	2	no	—
533	C₄²×C₁₃	—	2	1	no	—
534	C₄²×C₁₃	C₂⁴	1	2	yes	—
535	C₂×#578	C₂×C₁₃	1	1	yes	characteristic, complemented
536	C₂×#575	C₂×C₁₃	1	1	yes	characteristic, complemented
537	#3489	C₂×C₁₃	1	1	yes	characteristic, complemented
538	#3487	C₂×C₁₃	1	1	yes	characteristic, complemented
539	#3285	C₂×C₁₃	1	2	yes	complemented
540	#3284	C₂×C₁₃	1	2	yes	complemented
541	#3278	C₂×C₁₃	1	2	yes	complemented
542	#3275	C₂×C₁₃	1	2	yes	complemented
543	#3271	C₂×C₁₃	1	2	yes	complemented
544	#3270	C₂×C₁₃	1	2	yes	complemented
545	#3269	C₂×C₁₃	1	2	yes	complemented
546	#3268	C₂×C₁₃	1	2	yes	complemented
547	#3154	C₂×C₁₃	1	1	yes	characteristic, complemented
548	#3062	C₂×C₁₃	1	1	yes	characteristic, complemented
549	#3056	C₂×C₁₃	1	1	yes	characteristic, complemented
550	#3045	C₂×C₁₃	1	1	yes	characteristic, complemented
551	#3044	C₂×C₁₃	1	1	yes	characteristic, complemented
552	#3013	C₂×C₁₃	1	1	yes	characteristic, complemented
553	#3010	C₂×C₁₃	1	1	yes	characteristic, complemented
554	#3002	C₂×C₁₃	1	1	yes	characteristic, complemented
555	C₂×#452	C₂×C₁₃	1	1	yes	characteristic, complemented
556	#2947	C₂×C₁₃	1	1	yes	characteristic, complemented
557	#2933	C₂×C₁₃	1	1	yes	characteristic, complemented
558	C₂³×C₁₃	—	2	1	no	—
559	C₂³×C₁₃	—	2	2	no	—
560	C₂³×C₁₃	—	2	1	no	—
561	C₂³×C₁₃	—	2	2	no	—
562	C₂³×C₁₃	—	2	1	no	—
563	C₂³×C₁₃	—	4	1	no	—
564	C₂³×C₁₃	—	4	1	no	—
565	C₂³×C₁₃	—	4	2	no	—
566	C₂³×C₁₃	—	4	2	no	—
567	C₂³×C₁₃	—	4	2	no	—
568	C₂³×C₁₃	—	8	1	no	—
569	C₂³×C₁₃	—	8	1	no	—
570	C₂³×C₁₃	—	8	1	no	—
571	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
572	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
573	C₂³×C₁₃	C₂²×D₄	1	2	yes	—
574	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
575	Q₈×C₁₃	—	2	4	no	—
576	Q₈×C₁₃	—	2	2	no	—
577	Q₈×C₁₃	—	2	2	no	—
578	Q₈×C₁₃	—	2	1	no	—
579	Q₈×C₁₃	—	2	1	no	—
580	Q₈×C₁₃	—	2	1	no	—
581	Q₈×C₁₃	—	2	2	no	—
582	Q₈×C₁₃	—	2	2	no	—
583	Q₈×C₁₃	—	2	1	no	—
584	Q₈×C₁₃	—	2	1	no	—
585	Q₈×C₁₃	—	4	4	no	—
586	Q₈×C₁₃	—	4	4	no	—
587	Q₈×C₁₃	—	4	2	no	—
588	Q₈×C₁₃	—	4	2	no	—
589	Q₈×C₁₃	C₂²×D₄	1	2	yes	—
590	Q₈×C₁₃	C₂²×D₄	1	4	yes	—
591	D₄×C₁₃	—	2	4	no	—
592	D₄×C₁₃	—	2	4	no	—
593	D₄×C₁₃	—	2	2	no	—
594	D₄×C₁₃	—	2	2	no	—
595	D₄×C₁₃	—	2	1	no	—
596	D₄×C₁₃	—	2	1	no	—
597	D₄×C₁₃	—	2	1	no	—
598	D₄×C₁₃	—	2	1	no	—
599	D₄×C₁₃	—	2	1	no	—
600	D₄×C₁₃	—	2	2	no	—
601	D₄×C₁₃	—	4	2	no	—
602	D₄×C₁₃	—	4	2	no	—
603	D₄×C₁₃	—	4	2	no	—
604	D₄×C₁₃	—	4	2	no	—
605	D₄×C₁₃	—	4	4	no	—
606	D₄×C₁₃	—	4	4	no	—
607	D₄×C₁₃	—	4	4	no	—
608	D₄×C₁₃	—	4	2	no	—
609	D₄×C₁₃	—	4	4	no	—
610	D₄×C₁₃	—	4	2	no	—
611	D₄×C₁₃	—	4	2	no	—
612	D₄×C₁₃	—	4	2	no	—
613	D₄×C₁₃	—	8	2	no	—
614	D₄×C₁₃	—	8	2	no	—
615	D₄×C₁₃	—	8	2	no	—
616	D₄×C₁₃	—	8	2	no	—
617	D₄×C₁₃	—	8	1	no	—
618	D₄×C₁₃	—	8	2	no	—
619	D₄×C₁₃	—	8	1	no	—
620	D₄×C₁₃	C₂²×D₄	1	2	yes	—
621	C₂×C₄×C₁₃	—	2	2	no	—
622	C₂×C₄×C₁₃	—	2	4	no	—
623	C₂×C₄×C₁₃	—	2	2	no	—
624	C₂×C₄×C₁₃	—	2	1	no	—
625	C₂×C₄×C₁₃	—	2	2	no	—
626	C₂×C₄×C₁₃	—	2	2	no	—
627	C₂×C₄×C₁₃	—	2	4	no	—
628	C₂×C₄×C₁₃	—	2	1	no	—
629	C₂×C₄×C₁₃	—	2	2	no	—
630	C₂×C₄×C₁₃	—	2	1	no	—
631	C₂×C₄×C₁₃	—	2	1	no	—
632	C₂×C₄×C₁₃	—	2	1	no	—
633	C₂×C₄×C₁₃	—	2	2	no	—
634	C₂×C₄×C₁₃	—	2	1	no	—
635	C₂×C₄×C₁₃	—	2	1	no	—
636	C₂×C₄×C₁₃	—	2	2	no	—
637	C₂×C₄×C₁₃	—	2	1	no	—
638	C₂×C₄×C₁₃	—	2	2	no	—
639	C₂×C₄×C₁₃	—	2	1	no	—
640	C₂×C₄×C₁₃	—	4	2	no	—
641	C₂×C₄×C₁₃	—	4	4	no	—
642	C₂×C₄×C₁₃	—	4	4	no	—
643	C₂×C₄×C₁₃	—	4	4	no	—
644	C₂×C₄×C₁₃	—	4	2	no	—
645	C₂×C₄×C₁₃	—	4	2	no	—
646	C₂×C₄×C₁₃	—	4	4	no	—
647	C₂×C₄×C₁₃	—	4	4	no	—
648	C₂×C₄×C₁₃	—	4	4	no	—
649	C₂×C₄×C₁₃	—	4	2	no	—
650	C₂×C₄×C₁₃	—	4	2	no	—
651	C₂×C₄×C₁₃	—	4	2	no	—
652	C₂×C₄×C₁₃	—	8	2	no	—
653	C₂×C₄×C₁₃	—	8	1	no	—
654	C₂×C₄×C₁₃	C₂²×D₄	1	2	yes	—
655	C₂×C₄×C₁₃	C₂²×D₄	1	2	yes	—
656	C₂×C₄×C₁₃	C₂²×D₄	1	2	yes	—
657	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
658	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
659	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
660	C₂×C₄×C₁₃	C₂²×D₄	1	2	yes	—
661	C₂×C₄×C₁₃	H(5,𝔽₂)	1	2	yes	—
662	C₂×C₄×C₁₃	C₂⁵	1	1	yes	characteristic
663	C₈×C₁₃	—	2	1	no	—
664	C₈×C₁₃	—	2	2	no	—
665	C₈×C₁₃	—	2	1	no	—
666	C₈×C₁₃	—	2	1	no	—
667	C₈×C₁₃	—	2	1	no	—
668	C₈×C₁₃	C₂²×D₄	1	4	yes	—
669	C₂×2₋¹⁺⁴	C₂²×C₁₃	1	1	yes	characteristic
670	C₂×2₋¹⁺⁴	C₂²×C₁₃	1	1	yes	characteristic, complemented
671	C₂²×#41	C₂²×C₁₃	1	1	yes	characteristic
672	C₂²×#41	C₂²×C₁₃	1	1	yes	characteristic
673	#578	—	2	8	no	—
674	#575	—	2	8	no	—
675	C₂×#137	C₂²×C₁₃	1	1	yes	characteristic
676	C₂×#137	C₂²×C₁₃	1	2	yes	—
677	C₂×#137	C₂²×C₁₃	1	1	yes	characteristic
678	C₂×#137	C₂²×C₁₃	1	1	yes	characteristic, complemented
679	C₂×#137	C₂²×C₁₃	1	2	yes	complemented
680	C₂×#137	C₂²×C₁₃	1	2	yes	complemented
681	C₂×AGL(1,ℤ/8)	C₂²×C₁₃	1	1	yes	characteristic
682	C₂×AGL(1,ℤ/8)	C₂²×C₁₃	1	1	yes	characteristic
683	C₂×AGL(1,ℤ/8)	C₂²×C₁₃	1	2	yes	—
684	C₂×#135	C₂²×C₁₃	1	1	yes	characteristic
685	C₂×#135	C₂²×C₁₃	1	2	yes	—
686	C₂×#135	C₂²×C₁₃	1	2	yes	—
687	C₂×#135	C₂²×C₁₃	1	1	yes	characteristic
688	C₂×#135	C₂²×C₁₃	1	2	yes	complemented
689	C₂²×Q₁₆	C₂²×C₁₃	1	1	yes	characteristic, complemented
690	C₂²×Q₁₆	C₂²×C₁₃	1	2	yes	complemented
691	C₂²×SD₁₆	C₂²×C₁₃	1	1	yes	characteristic, complemented
692	C₂×#131	C₂²×C₁₃	1	1	yes	characteristic, complemented
693	C₂²×M₁₆	C₂²×C₁₃	1	1	yes	characteristic
694	#550	—	2	1	no	—
695	#550	—	2	1	no	—
696	#550	C₂²×C₁₃	1	2	yes	—
697	#550	C₂²×C₁₃	1	2	yes	complemented
698	D₄×Q₈	C₂²×C₁₃	1	2	yes	complemented
699	#548	—	2	1	no	—
700	#548	—	2	1	no	—
701	#548	C₂²×C₁₃	1	2	yes	—
702	#548	C₂²×C₁₃	1	2	yes	complemented
703	#548	C₂²×C₁₃	1	2	yes	complemented
704	#547	—	2	2	no	—
705	#547	C₂²×C₁₃	1	2	yes	complemented
706	#546	—	2	2	no	—
707	#546	C₂²×C₁₃	1	2	yes	complemented
708	#537	—	2	1	no	—
709	#537	C₂²×C₁₃	1	1	yes	characteristic
710	#536	—	2	1	no	—
711	#536	C₂²×C₁₃	1	1	yes	characteristic
712	#535	—	2	2	no	—
713	#535	C₂²×C₁₃	1	1	yes	characteristic, complemented
714	#535	C₂²×C₁₃	1	1	yes	characteristic, complemented
715	#525	—	2	2	no	—
716	#525	—	2	1	no	—
717	#525	C₂²×C₁₃	1	1	yes	characteristic
718	#525	C₂²×C₁₃	1	1	yes	characteristic
719	C₂×C₂²⋊Q₈	—	2	1	no	—
720	C₂×C₂²⋊Q₈	C₂²×C₁₃	1	1	yes	characteristic
721	#520	C₂²×C₁₃	1	1	yes	characteristic
722	#519	C₂²×C₁₃	1	1	yes	characteristic, complemented
723	#497	C₂²×C₁₃	1	2	yes	complemented
724	#496	C₂²×C₁₃	1	2	yes	complemented
725	#495	C₂²×C₁₃	1	2	yes	complemented
726	#492	C₂²×C₁₃	1	2	yes	complemented
727	#470	C₂²×C₁₃	1	2	yes	complemented
728	#469	C₂²×C₁₃	1	2	yes	complemented
729	#468	C₂²×C₁₃	1	2	yes	complemented
730	#468	C₂²×C₁₃	1	2	yes	complemented
731	#467	C₂²×C₁₃	1	2	yes	complemented
732	#466	C₂²×C₁₃	1	2	yes	complemented
733	#465	C₂²×C₁₃	1	2	yes	complemented
734	#465	C₂²×C₁₃	1	2	yes	complemented
735	#464	C₂²×C₁₃	1	2	yes	complemented
736	#464	C₂²×C₁₃	1	2	yes	complemented
737	#464	C₂²×C₁₃	1	2	yes	complemented
738	#463	C₂²×C₁₃	1	2	yes	complemented
739	#462	C₂²×C₁₃	1	2	yes	complemented
740	#462	C₂²×C₁₃	1	2	yes	complemented
741	#460	C₂²×C₁₃	1	2	yes	complemented
742	#459	C₂²×C₁₃	1	2	yes	complemented
743	#452	C₂²×C₁₃	1	2	yes	—
744	#452	C₂²×C₁₃	1	2	yes	—
745	#452	C₂²×C₁₃	1	2	yes	complemented
746	#452	C₂²×C₁₃	1	2	yes	complemented
747	#452	C₂²×C₁₃	1	1	yes	characteristic, complemented
748	#452	C₂²×C₁₃	1	1	yes	characteristic, complemented
749	#452	C₂²×C₁₃	1	2	yes	complemented
750	#451	C₂²×C₁₃	1	1	yes	characteristic, complemented
751	#451	C₂²×C₁₃	1	2	yes	complemented
752	#450	C₂²×C₁₃	1	1	yes	characteristic, complemented
753	#449	C₂²×C₁₃	1	1	yes	characteristic, complemented
754	#449	C₂²×C₁₃	1	1	yes	characteristic, complemented
755	#449	C₂²×C₁₃	1	2	yes	complemented
756	#449	C₂²×C₁₃	1	2	yes	complemented
757	#449	C₂²×C₁₃	1	2	yes	complemented
758	#448	C₂²×C₁₃	1	1	yes	characteristic, complemented
759	#448	C₂²×C₁₃	1	2	yes	complemented
760	#448	C₂²×C₁₃	1	2	yes	complemented
761	#448	C₂²×C₁₃	1	2	yes	complemented
762	#447	C₂²×C₁₃	1	1	yes	characteristic, complemented
763	#441	C₂²×C₁₃	1	2	yes	complemented
764	#440	C₂²×C₁₃	1	2	yes	complemented
765	C₄×Q₁₆	C₂²×C₁₃	1	2	yes	complemented
766	C₄×SD₁₆	C₂²×C₁₃	1	2	yes	complemented
767	#436	C₂²×C₁₃	1	2	yes	complemented
768	#435	C₂²×C₁₃	1	2	yes	complemented
769	#435	C₂²×C₁₃	1	2	yes	complemented
770	C₈×D₄	C₂²×C₁₃	1	2	yes	complemented
771	#428	C₂²×C₁₃	1	1	yes	characteristic, complemented
772	#424	C₂²×C₁₃	1	1	yes	characteristic, complemented
773	#419	C₂²×C₁₃	1	1	yes	characteristic, complemented
774	#417	C₂²×C₁₃	1	1	yes	characteristic, complemented
775	#416	C₂²×C₁₃	1	1	yes	characteristic
776	#416	C₂²×C₁₃	1	1	yes	characteristic
777	C₂×#103	C₂²×C₁₃	1	1	yes	characteristic, complemented
778	C₂×#102	C₂²×C₁₃	1	1	yes	characteristic, complemented
779	#408	C₂²×C₁₃	1	1	yes	characteristic, complemented
780	C₂×C₂²⋊C₈	C₂²×C₁₃	1	1	yes	characteristic
781	#405	C₂²×C₁₃	1	1	yes	characteristic, complemented
782	C₂²×C₁₃	—	2	1	no	—
783	C₂²×C₁₃	—	2	1	no	—
784	C₂²×C₁₃	—	2	1	no	—
785	C₂²×C₁₃	—	2	2	no	—
786	C₂²×C₁₃	—	2	1	no	—
787	C₂²×C₁₃	—	2	1	no	—
788	C₂²×C₁₃	—	2	2	no	—
789	C₂²×C₁₃	—	2	1	no	—
790	C₂²×C₁₃	—	2	1	no	—
791	C₂²×C₁₃	—	2	1	no	—
792	C₂²×C₁₃	—	2	2	no	—
793	C₂²×C₁₃	—	2	2	no	—
794	C₂²×C₁₃	—	4	1	no	—
795	C₂²×C₁₃	—	4	1	no	—
796	C₂²×C₁₃	—	4	1	no	—
797	C₂²×C₁₃	—	4	2	no	—
798	C₂²×C₁₃	—	4	1	no	—
799	C₂²×C₁₃	—	4	1	no	—
800	C₂²×C₁₃	—	4	2	no	—
801	C₂²×C₁₃	—	4	1	no	—
802	C₂²×C₁₃	—	4	1	no	—
803	C₂²×C₁₃	—	4	2	no	—
804	C₂²×C₁₃	—	4	1	no	—
805	C₂²×C₁₃	—	8	2	no	—
806	C₂²×C₁₃	—	8	4	no	—
807	C₂²×C₁₃	—	8	4	no	—
808	C₂²×C₁₃	D₄²	1	2	yes	—
809	C₂²×C₁₃	C₂³×D₄	1	1	yes	characteristic
810	C₄×C₁₃	—	2	2	no	—
811	C₄×C₁₃	—	2	2	no	—
812	C₄×C₁₃	—	2	1	no	—
813	C₄×C₁₃	—	2	1	no	—
814	C₄×C₁₃	—	2	2	no	—
815	C₄×C₁₃	—	2	4	no	—
816	C₄×C₁₃	—	2	2	no	—
817	C₄×C₁₃	—	4	2	no	—
818	C₄×C₁₃	—	4	1	no	—
819	C₄×C₁₃	—	4	1	no	—
820	C₄×C₁₃	—	4	1	no	—
821	C₄×C₁₃	—	4	1	no	—
822	C₄×C₁₃	—	4	2	no	—
823	C₄×C₁₃	D₄²	1	2	yes	—
824	C₄×C₁₃	C₂³×D₄	1	1	yes	characteristic
825	C₄×C₁₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
826	2₋¹⁺⁴	—	2	4	no	—
827	2₋¹⁺⁴	—	2	4	no	—
828	2₋¹⁺⁴	—	4	2	no	—
829	2₋¹⁺⁴	—	4	2	no	—
830	C₂×#41	—	2	2	no	—
831	C₂×#41	—	2	1	no	—
832	C₂×#41	—	2	2	no	—
833	C₂×#41	—	2	1	no	—
834	C₂×#41	—	2	1	no	—
835	C₂×#41	—	2	1	no	—
836	C₂×#41	—	2	1	no	—
837	C₂×#41	—	2	1	no	—
838	C₂×#41	—	2	4	no	—
839	C₂×#41	—	2	4	no	—
840	C₂×#41	—	4	2	no	—
841	C₂×#41	—	4	2	no	—
842	C₂×#41	C₂³×C₁₃	1	1	yes	characteristic
843	C₂×#41	C₂³×C₁₃	1	1	yes	characteristic
844	C₂×#41	C₂³×C₁₃	1	2	yes	—
845	C₂×#41	C₂³×C₁₃	1	1	yes	characteristic
846	C₂×#41	C₂³×C₁₃	1	2	yes	—
847	C₂×#41	C₂³×C₁₃	1	1	yes	characteristic
848	C₂×#41	C₂³×C₁₃	1	2	yes	—
849	C₂×#41	C₂³×C₁₃	1	2	yes	—
850	C₂×#41	C₂³×C₁₃	1	1	yes	characteristic
851	C₂×#41	C₂³×C₁₃	1	1	yes	characteristic
852	C₂²×Q₈	—	2	1	no	—
853	C₂²×Q₈	—	2	1	no	—
854	C₂²×Q₈	C₂³×C₁₃	1	1	yes	characteristic
855	C₂²×Q₈	C₂³×C₁₃	1	2	yes	—
856	C₂²×Q₈	C₂³×C₁₃	1	2	yes	—
857	C₂²×Q₈	C₂³×C₁₃	1	1	yes	characteristic
858	C₂²×Q₈	C₂³×C₁₃	1	1	yes	characteristic
859	C₂²×D₄	—	2	1	no	—
860	C₂²×D₄	—	2	1	no	—
861	C₂²×D₄	C₂³×C₁₃	1	1	yes	characteristic
862	C₂²×D₄	C₂³×C₁₃	1	1	yes	characteristic
863	C₂³×C₄	—	2	1	no	—
864	C₂³×C₄	—	2	1	no	—
865	C₂³×C₄	C₂³×C₁₃	1	1	yes	characteristic
866	#137	—	2	4	no	—
867	#137	—	2	8	no	—
868	#137	—	2	8	no	—
869	#137	—	2	8	no	—
870	#137	—	2	4	no	—
871	#137	D₄×C₁₃	1	8	yes	complemented
872	AGL(1,ℤ/8)	—	2	4	no	—
873	AGL(1,ℤ/8)	—	2	8	no	—
874	AGL(1,ℤ/8)	—	2	4	no	—
875	#135	—	2	4	no	—
876	#135	—	2	8	no	—
877	#135	—	2	8	no	—
878	#135	—	2	8	no	—
879	#135	—	4	2	no	—
880	C₂×Q₁₆	—	2	4	no	—
881	C₂×Q₁₆	—	2	8	no	—
882	C₂×Q₁₆	C₂³×C₁₃	1	1	yes	characteristic
883	C₂×Q₁₆	C₂³×C₁₃	1	2	yes	—
884	C₂×Q₁₆	C₂³×C₁₃	1	2	yes	—
885	C₂×Q₁₆	C₂³×C₁₃	1	2	yes	—
886	C₂×Q₁₆	C₂³×C₁₃	1	2	yes	—
887	C₂×Q₁₆	C₂³×C₁₃	1	1	yes	characteristic
888	C₂×Q₁₆	C₂³×C₁₃	1	2	yes	—
889	C₂×SD₁₆	—	4	2	no	—
890	C₂×SD₁₆	C₂³×C₁₃	1	2	yes	—
891	C₂×SD₁₆	C₂³×C₁₃	1	2	yes	—
892	C₂×SD₁₆	C₂³×C₁₃	1	2	yes	—
893	C₂×SD₁₆	C₂³×C₁₃	1	1	yes	characteristic
894	C₂×SD₁₆	C₂³×C₁₃	1	1	yes	characteristic
895	C₂×SD₁₆	C₂³×C₁₃	1	2	yes	—
896	C₂×SD₁₆	C₂³×C₁₃	1	2	yes	—
897	C₂×SD₁₆	C₂³×C₁₃	1	2	yes	—
898	C₂×SD₁₆	C₂³×C₁₃	1	1	yes	characteristic
899	C₂×SD₁₆	C₂³×C₁₃	1	1	yes	characteristic
900	C₂×SD₁₆	C₂³×C₁₃	1	2	yes	—
901	C₂×D₈	C₂³×C₁₃	1	1	yes	characteristic
902	C₂×D₈	C₂³×C₁₃	1	2	yes	—
903	C₂×D₈	C₂³×C₁₃	1	2	yes	—
904	C₂×D₈	C₂³×C₁₃	1	1	yes	characteristic
905	#131	—	2	4	no	—
906	C₂×M₁₆	—	2	4	no	—
907	C₂×M₁₆	C₂³×C₁₃	1	1	yes	characteristic
908	C₂×M₁₆	C₂³×C₁₃	1	2	yes	—
909	C₂×M₁₆	C₂³×C₁₃	1	2	yes	—
910	C₂×M₁₆	C₂³×C₁₃	1	1	yes	characteristic
911	C₂²×C₈	C₂³×C₁₃	1	2	yes	—
912	C₂²×C₈	C₂³×C₁₃	1	1	yes	characteristic
913	C₂²×C₈	C₂³×C₁₃	1	2	yes	—
914	C₂²×C₈	C₂³×C₁₃	1	1	yes	characteristic
915	C₄⋊Q₈	—	2	2	no	—
916	C₄⋊Q₈	C₂³×C₁₃	1	2	yes	—
917	#127	—	2	2	no	—
918	#127	—	2	2	no	—
919	#127	—	2	1	no	—
920	#127	C₂³×C₁₃	1	2	yes	—
921	#124	—	2	1	no	—
922	#124	—	2	2	no	—
923	#124	—	2	2	no	—
924	#124	—	2	2	no	—
925	#124	C₂³×C₁₃	1	2	yes	—
926	#124	C₂³×C₁₃	1	2	yes	—
927	#123	—	2	1	no	—
928	#123	—	2	2	no	—
929	#123	—	2	2	no	—
930	#123	—	2	2	no	—
931	#123	—	2	2	no	—
932	#123	D₄×C₁₃	1	2	yes	—
933	C₂²⋊Q₈	—	2	1	no	—
934	C₂²⋊Q₈	—	2	1	no	—
935	C₂²⋊Q₈	—	2	1	no	—
936	C₂²⋊Q₈	—	2	1	no	—
937	C₂²⋊Q₈	—	2	2	no	—
938	C₂²⋊Q₈	—	2	1	no	—
939	C₂²⋊Q₈	—	2	2	no	—
940	C₂²⋊Q₈	—	2	2	no	—
941	C₂²⋊Q₈	—	2	2	no	—
942	C₂²⋊Q₈	—	2	2	no	—
943	C₂²⋊Q₈	D₄×C₁₃	1	1	yes	characteristic
944	C₂²⋊Q₈	D₄×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	2	yes	—
950	#121	—	2	1	no	—
951	#121	—	2	2	no	—
952	#121	—	2	2	no	—
953	#121	—	2	2	no	—
954	#121	—	2	2	no	—
955	#121	—	2	2	no	—
956	#121	—	2	1	no	—
957	#121	—	2	1	no	—
958	#121	—	2	2	no	—
959	#121	—	2	2	no	—
960	#121	—	2	2	no	—
961	#121	—	2	2	no	—
962	#121	—	2	2	no	—
963	#121	D₄×C₁₃	1	1	yes	characteristic
964	#121	D₄×C₁₃	1	1	yes	characteristic
965	#121	C₂³×C₁₃	1	1	yes	characteristic
966	#121	C₂³×C₁₃	1	1	yes	characteristic
967	#121	C₂³×C₁₃	1	2	yes	—
968	#121	C₂³×C₁₃	1	2	yes	—
969	#121	C₂³×C₁₃	1	2	yes	—
970	#120	—	2	1	no	—
971	#120	—	2	2	no	—
972	#120	—	2	2	no	—
973	#120	—	2	2	no	—
974	#120	D₄×C₁₃	1	2	yes	—
975	C₄×Q₈	—	2	1	no	—
976	C₄×Q₈	—	2	1	no	—
977	C₄×Q₈	C₂³×C₁₃	1	2	yes	—
978	C₄×Q₈	C₂³×C₁₃	1	2	yes	—
979	C₄×Q₈	C₂³×C₁₃	1	2	yes	—
980	C₄×D₄	—	2	2	no	—
981	C₄×D₄	—	2	1	no	—
982	C₄×D₄	—	2	1	no	—
983	C₄×D₄	—	2	2	no	—
984	C₄×D₄	—	2	2	no	—
985	C₄×D₄	—	2	2	no	—
986	C₄×D₄	—	2	2	no	—
987	C₄×D₄	—	2	2	no	—
988	C₄×D₄	—	2	2	no	—
989	C₄×D₄	C₂³×C₁₃	1	2	yes	—
990	C₄×D₄	C₂³×C₁₃	1	2	yes	—
991	C₄×D₄	C₂³×C₁₃	1	2	yes	—
992	#117	—	2	1	no	—
993	#117	—	2	2	no	—
994	#117	C₂³×C₁₃	1	1	yes	characteristic
995	#117	C₂³×C₁₃	1	1	yes	characteristic
996	C₂×C₄⋊C₄	—	2	1	no	—
997	C₂×C₄⋊C₄	—	2	1	no	—
998	C₂×C₄⋊C₄	—	2	2	no	—
999	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1000	C₂×C₂²⋊C₄	—	2	1	no	—
1001	C₂×C₂²⋊C₄	—	2	2	no	—
1002	#107	C₂³×C₁₃	1	2	yes	—
1003	#106	C₂³×C₁₃	1	2	yes	—
1004	C₄⋊C₈	C₂³×C₁₃	1	2	yes	—
1005	C₄⋊C₈	C₂³×C₁₃	1	2	yes	—
1006	#103	C₂³×C₁₃	1	2	yes	—
1007	#103	C₂³×C₁₃	1	2	yes	—
1008	#103	C₂³×C₁₃	1	1	yes	characteristic
1009	#103	C₂³×C₁₃	1	1	yes	characteristic
1010	#103	C₂³×C₁₃	1	1	yes	characteristic
1011	#103	C₂³×C₁₃	1	1	yes	characteristic
1012	#103	C₂³×C₁₃	1	2	yes	—
1013	#103	C₂³×C₁₃	1	2	yes	—
1014	#103	C₂³×C₁₃	1	2	yes	—
1015	#102	C₂³×C₁₃	1	2	yes	—
1016	#102	C₂³×C₁₃	1	2	yes	—
1017	#102	C₂³×C₁₃	1	1	yes	characteristic
1018	#102	C₂³×C₁₃	1	1	yes	characteristic
1019	#102	C₂³×C₁₃	1	1	yes	characteristic
1020	#102	C₂³×C₁₃	1	1	yes	characteristic
1021	#102	C₂³×C₁₃	1	2	yes	—
1022	C₂²⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
1023	C₂²⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
1024	C₂²⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
1025	C₂²⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
1026	C₂²⋊C₈	C₂³×C₁₃	1	2	yes	—
1027	C₂²⋊C₈	C₂³×C₁₃	1	2	yes	—
1028	#97	C₂³×C₁₃	1	2	yes	—
1029	C₄×C₈	C₂³×C₁₃	1	2	yes	—
1030	C₂×C₁₃	—	2	2	no	—
1031	C₂×C₁₃	—	4	2	no	—
1032	C₂×C₁₃	—	4	1	no	—
1033	C₂×C₁₃	—	4	1	no	—
1034	C₂×C₁₃	—	4	2	no	—
1035	C₂×C₁₃	—	8	1	no	—
1036	C₂×C₁₃	—	8	2	no	—
1037	C₂×C₁₃	—	8	1	no	—
1038	C₂×C₁₃	C₂×D₄²	1	1	yes	characteristic
1039	C₂×C₁₃	#3584	1	1	yes	characteristic
1040	C₂×C₁₃	#3586	1	1	yes	characteristic
1041	C₂⁴	—	2	1	no	—
1042	C₂⁴	—	2	1	no	—
1043	C₂⁴	C₂×D₄×C₁₃	1	1	yes	characteristic
1044	#41	—	2	2	no	—
1045	#41	—	2	2	no	—
1046	#41	—	2	2	no	—
1047	#41	—	2	2	no	—
1048	#41	—	2	4	no	—
1049	#41	—	2	4	no	—
1050	#41	—	2	4	no	—
1051	#41	—	2	2	no	—
1052	#41	—	2	4	no	—
1053	#41	—	2	2	no	—
1054	#41	—	2	2	no	—
1055	#41	—	2	2	no	—
1056	#41	—	2	2	no	—
1057	#41	—	4	4	no	—
1058	#41	—	4	2	no	—
1059	#41	—	4	1	no	—
1060	#41	—	4	2	no	—
1061	#41	—	4	1	no	—
1062	#41	—	4	2	no	—
1063	#41	—	4	2	no	—
1064	#41	—	4	4	no	—
1065	#41	—	4	8	no	—
1066	#41	—	4	4	no	—
1067	#41	—	4	4	no	—
1068	#41	—	4	4	no	—
1069	#41	—	4	8	no	—
1070	#41	—	4	4	no	—
1071	#41	C₂×D₄×C₁₃	1	4	yes	—
1072	C₂×Q₈	—	2	1	no	—
1073	C₂×Q₈	—	2	1	no	—
1074	C₂×Q₈	—	2	2	no	—
1075	C₂×Q₈	—	2	2	no	—
1076	C₂×Q₈	—	2	1	no	—
1077	C₂×Q₈	—	2	2	no	—
1078	C₂×Q₈	—	2	4	no	—
1079	C₂×Q₈	—	2	4	no	—
1080	C₂×Q₈	—	2	2	no	—
1081	C₂×Q₈	—	2	2	no	—
1082	C₂×Q₈	—	2	2	no	—
1083	C₂×Q₈	—	4	1	no	—
1084	C₂×Q₈	—	4	2	no	—
1085	C₂×Q₈	—	4	2	no	—
1086	C₂×Q₈	—	4	4	no	—
1087	C₂×Q₈	—	4	4	no	—
1088	C₂×Q₈	C₂×D₄×C₁₃	1	4	yes	—
1089	C₂×Q₈	C₂×D₄×C₁₃	1	1	yes	characteristic
1090	C₂×Q₈	C₂⁴×C₁₃	1	1	yes	characteristic
1091	C₂×Q₈	C₂⁴×C₁₃	1	2	yes	—
1092	C₂×Q₈	C₂⁴×C₁₃	1	1	yes	characteristic
1093	C₂×Q₈	C₂⁴×C₁₃	1	1	yes	characteristic
1094	C₂×Q₈	C₂⁴×C₁₃	1	2	yes	—
1095	C₂×D₄	—	2	1	no	—
1096	C₂×D₄	—	2	2	no	—
1097	C₂×D₄	—	2	1	no	—
1098	C₂×D₄	—	2	2	no	—
1099	C₂×D₄	—	2	1	no	—
1100	C₂×D₄	—	2	1	no	—
1101	C₂×D₄	—	2	1	no	—
1102	C₂×D₄	—	2	2	no	—
1103	C₂×D₄	—	2	2	no	—
1104	C₂×D₄	—	2	2	no	—
1105	C₂×D₄	—	2	2	no	—
1106	C₂×D₄	—	2	2	no	—
1107	C₂×D₄	—	2	2	no	—
1108	C₂×D₄	—	2	1	no	—
1109	C₂×D₄	—	2	1	no	—
1110	C₂×D₄	—	2	2	no	—
1111	C₂×D₄	—	2	1	no	—
1112	C₂×D₄	—	2	1	no	—
1113	C₂×D₄	—	2	2	no	—
1114	C₂×D₄	—	2	2	no	—
1115	C₂×D₄	—	2	2	no	—
1116	C₂×D₄	—	4	1	no	—
1117	C₂×D₄	—	4	4	no	—
1118	C₂×D₄	—	4	4	no	—
1119	C₂×D₄	C₂×D₄×C₁₃	1	2	yes	—
1120	C₂×D₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1121	C₂×D₄	C₂×D₄×C₁₃	1	2	yes	—
1122	C₂×D₄	C₂×D₄×C₁₃	1	2	yes	—
1123	C₂×D₄	C₂⁴×C₁₃	1	1	yes	characteristic
1124	C₂×D₄	C₂⁴×C₁₃	1	2	yes	—
1125	C₂×D₄	C₂⁴×C₁₃	1	1	yes	characteristic
1126	C₂×D₄	C₂⁴×C₁₃	1	1	yes	characteristic
1127	C₂²×C₄	—	2	1	no	—
1128	C₂²×C₄	—	2	1	no	—
1129	C₂²×C₄	—	2	2	no	—
1130	C₂²×C₄	—	2	2	no	—
1131	C₂²×C₄	—	2	1	no	—
1132	C₂²×C₄	—	2	2	no	—
1133	C₂²×C₄	—	2	2	no	—
1134	C₂²×C₄	—	2	1	no	—
1135	C₂²×C₄	—	2	1	no	—
1136	C₂²×C₄	—	2	2	no	—
1137	C₂²×C₄	—	2	1	no	—
1138	C₂²×C₄	—	2	2	no	—
1139	C₂²×C₄	—	2	1	no	—
1140	C₂²×C₄	—	2	2	no	—
1141	C₂²×C₄	—	2	2	no	—
1142	C₂²×C₄	—	2	1	no	—
1143	C₂²×C₄	—	2	1	no	—
1144	C₂²×C₄	—	2	2	no	—
1145	C₂²×C₄	—	4	4	no	—
1146	C₂²×C₄	—	4	4	no	—
1147	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1148	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1149	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1150	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
1151	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1152	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1153	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1154	Q₁₆	—	2	2	no	—
1155	Q₁₆	—	2	4	no	—
1156	Q₁₆	—	2	4	no	—
1157	Q₁₆	—	2	4	no	—
1158	Q₁₆	—	2	4	no	—
1159	Q₁₆	—	4	1	no	—
1160	Q₁₆	C₂×D₄×C₁₃	1	8	yes	—
1161	SD₁₆	—	2	4	no	—
1162	SD₁₆	—	2	4	no	—
1163	SD₁₆	—	2	2	no	—
1164	SD₁₆	—	2	2	no	—
1165	SD₁₆	—	2	4	no	—
1166	SD₁₆	—	2	4	no	—
1167	SD₁₆	—	4	2	no	—
1168	SD₁₆	—	4	2	no	—
1169	SD₁₆	—	4	1	no	—
1170	SD₁₆	—	4	1	no	—
1171	SD₁₆	C₂×D₄×C₁₃	1	8	yes	—
1172	D₈	—	2	2	no	—
1173	D₈	—	2	4	no	—
1174	D₈	—	2	4	no	—
1175	D₈	—	4	1	no	—
1176	M₁₆	—	2	2	no	—
1177	M₁₆	—	2	4	no	—
1178	M₁₆	—	2	4	no	—
1179	M₁₆	C₂×D₄×C₁₃	1	4	yes	—
1180	C₂×C₈	—	2	2	no	—
1181	C₂×C₈	—	2	2	no	—
1182	C₂×C₈	—	2	4	no	—
1183	C₂×C₈	—	2	4	no	—
1184	C₂×C₈	C₂⁴×C₁₃	1	1	yes	characteristic
1185	C₂×C₈	C₂⁴×C₁₃	1	1	yes	characteristic
1186	C₂×C₈	C₂⁴×C₁₃	1	1	yes	characteristic
1187	C₂×C₈	C₂⁴×C₁₃	1	1	yes	characteristic
1188	C₂×C₈	C₂⁴×C₁₃	1	2	yes	—
1189	C₂×C₈	C₂⁴×C₁₃	1	2	yes	—
1190	C₄⋊C₄	—	2	2	no	—
1191	C₄⋊C₄	—	2	1	no	—
1192	C₄⋊C₄	—	2	2	no	—
1193	C₄⋊C₄	—	2	2	no	—
1194	C₄⋊C₄	—	2	2	no	—
1195	C₄⋊C₄	—	2	2	no	—
1196	C₄⋊C₄	—	2	2	no	—
1197	C₄⋊C₄	—	2	2	no	—
1198	C₄⋊C₄	—	2	1	no	—
1199	C₄⋊C₄	—	2	1	no	—
1200	C₄⋊C₄	—	2	2	no	—
1201	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1202	C₄⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
1203	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1204	C₄⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
1205	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
1206	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1207	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1208	C₂²⋊C₄	—	2	2	no	—
1209	C₂²⋊C₄	—	2	2	no	—
1210	C₂²⋊C₄	—	2	1	no	—
1211	C₂²⋊C₄	—	2	1	no	—
1212	C₂²⋊C₄	—	2	1	no	—
1213	C₂²⋊C₄	—	2	2	no	—
1214	C₂²⋊C₄	—	2	2	no	—
1215	C₂²⋊C₄	—	2	2	no	—
1216	C₂²⋊C₄	—	2	2	no	—
1217	C₂²⋊C₄	—	2	1	no	—
1218	C₂²⋊C₄	—	2	1	no	—
1219	C₂²⋊C₄	—	2	2	no	—
1220	C₂²⋊C₄	—	2	2	no	—
1221	C₂²⋊C₄	—	2	2	no	—
1222	C₂²⋊C₄	—	2	2	no	—
1223	C₂²⋊C₄	—	2	2	no	—
1224	C₂²⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
1225	C₂²⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
1226	C₂²⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
1227	C₂²⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
1228	C₂²⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
1229	C₄²	—	2	2	no	—
1230	C₄²	—	2	2	no	—
1231	C₄²	—	2	2	no	—
1232	C₄²	—	2	1	no	—
1233	C₄²	C₂⁴×C₁₃	1	2	yes	—
1234	C₁₃	#61078	1	1	yes	characteristic, direct product factor, Sylow
1235	C₂³	—	2	1	no	—
1236	C₂³	—	2	2	no	—
1237	C₂³	—	2	1	no	—
1238	C₂³	—	2	2	no	—
1239	C₂³	—	2	1	no	—
1240	C₂³	—	4	1	no	—
1241	C₂³	—	4	1	no	—
1242	C₂³	—	4	2	no	—
1243	C₂³	—	4	2	no	—
1244	C₂³	—	4	2	no	—
1245	C₂³	—	8	1	no	—
1246	C₂³	—	8	1	no	—
1247	C₂³	—	8	1	no	—
1248	C₂³	C₂²×D₄×C₁₃	1	1	yes	characteristic
1249	C₂³	C₂²×D₄×C₁₃	1	1	yes	characteristic
1250	C₂³	C₂²×D₄×C₁₃	1	2	yes	—
1251	C₂³	C₂²×D₄×C₁₃	1	1	yes	characteristic
1252	Q₈	—	2	4	no	—
1253	Q₈	—	2	2	no	—
1254	Q₈	—	2	2	no	—
1255	Q₈	—	2	1	no	—
1256	Q₈	—	2	1	no	—
1257	Q₈	—	2	1	no	—
1258	Q₈	—	2	2	no	—
1259	Q₈	—	2	2	no	—
1260	Q₈	—	2	1	no	—
1261	Q₈	—	2	1	no	—
1262	Q₈	—	4	4	no	—
1263	Q₈	—	4	4	no	—
1264	Q₈	—	4	2	no	—
1265	Q₈	—	4	2	no	—
1266	Q₈	C₂²×D₄×C₁₃	1	2	yes	—
1267	Q₈	C₂²×D₄×C₁₃	1	4	yes	—
1268	D₄	—	2	4	no	—
1269	D₄	—	2	4	no	—
1270	D₄	—	2	2	no	—
1271	D₄	—	2	2	no	—
1272	D₄	—	2	1	no	—
1273	D₄	—	2	1	no	—
1274	D₄	—	2	1	no	—
1275	D₄	—	2	1	no	—
1276	D₄	—	2	1	no	—
1277	D₄	—	2	2	no	—
1278	D₄	—	4	2	no	—
1279	D₄	—	4	2	no	—
1280	D₄	—	4	2	no	—
1281	D₄	—	4	2	no	—
1282	D₄	—	4	4	no	—
1283	D₄	—	4	4	no	—
1284	D₄	—	4	4	no	—
1285	D₄	—	4	2	no	—
1286	D₄	—	4	4	no	—
1287	D₄	—	4	2	no	—
1288	D₄	—	4	2	no	—
1289	D₄	—	4	2	no	—
1290	D₄	—	8	2	no	—
1291	D₄	—	8	2	no	—
1292	D₄	—	8	2	no	—
1293	D₄	—	8	2	no	—
1294	D₄	—	8	1	no	—
1295	D₄	—	8	2	no	—
1296	D₄	—	8	1	no	—
1297	D₄	C₂²×D₄×C₁₃	1	2	yes	—
1298	C₂×C₄	—	2	2	no	—
1299	C₂×C₄	—	2	4	no	—
1300	C₂×C₄	—	2	2	no	—
1301	C₂×C₄	—	2	1	no	—
1302	C₂×C₄	—	2	2	no	—
1303	C₂×C₄	—	2	2	no	—
1304	C₂×C₄	—	2	4	no	—
1305	C₂×C₄	—	2	1	no	—
1306	C₂×C₄	—	2	2	no	—
1307	C₂×C₄	—	2	1	no	—
1308	C₂×C₄	—	2	1	no	—
1309	C₂×C₄	—	2	1	no	—
1310	C₂×C₄	—	2	2	no	—
1311	C₂×C₄	—	2	1	no	—
1312	C₂×C₄	—	2	1	no	—
1313	C₂×C₄	—	2	2	no	—
1314	C₂×C₄	—	2	1	no	—
1315	C₂×C₄	—	2	2	no	—
1316	C₂×C₄	—	2	1	no	—
1317	C₂×C₄	—	4	2	no	—
1318	C₂×C₄	—	4	4	no	—
1319	C₂×C₄	—	4	4	no	—
1320	C₂×C₄	—	4	4	no	—
1321	C₂×C₄	—	4	2	no	—
1322	C₂×C₄	—	4	2	no	—
1323	C₂×C₄	—	4	4	no	—
1324	C₂×C₄	—	4	4	no	—
1325	C₂×C₄	—	4	4	no	—
1326	C₂×C₄	—	4	2	no	—
1327	C₂×C₄	—	4	2	no	—
1328	C₂×C₄	—	4	2	no	—
1329	C₂×C₄	—	8	2	no	—
1330	C₂×C₄	—	8	1	no	—
1331	C₂×C₄	C₂²×D₄×C₁₃	1	2	yes	—
1332	C₂×C₄	C₂²×D₄×C₁₃	1	2	yes	—
1333	C₂×C₄	C₂²×D₄×C₁₃	1	2	yes	—
1334	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1335	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1336	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1337	C₂×C₄	C₂²×D₄×C₁₃	1	2	yes	—
1338	C₂×C₄	C₁₃×H(5,𝔽₂)	1	2	yes	—
1339	C₂×C₄	C₂⁵×C₁₃	1	1	yes	characteristic
1340	C₈	—	2	1	no	—
1341	C₈	—	2	2	no	—
1342	C₈	—	2	1	no	—
1343	C₈	—	2	1	no	—
1344	C₈	—	2	1	no	—
1345	C₈	C₂²×D₄×C₁₃	1	4	yes	—
1346	C₂²	—	2	1	no	—
1347	C₂²	—	2	1	no	—
1348	C₂²	—	2	1	no	—
1349	C₂²	—	2	2	no	—
1350	C₂²	—	2	1	no	—
1351	C₂²	—	2	1	no	—
1352	C₂²	—	2	2	no	—
1353	C₂²	—	2	1	no	—
1354	C₂²	—	2	1	no	—
1355	C₂²	—	2	1	no	—
1356	C₂²	—	2	2	no	—
1357	C₂²	—	2	2	no	—
1358	C₂²	—	4	1	no	—
1359	C₂²	—	4	1	no	—
1360	C₂²	—	4	1	no	—
1361	C₂²	—	4	2	no	—
1362	C₂²	—	4	1	no	—
1363	C₂²	—	4	1	no	—
1364	C₂²	—	4	2	no	—
1365	C₂²	—	4	1	no	—
1366	C₂²	—	4	1	no	—
1367	C₂²	—	4	2	no	—
1368	C₂²	—	4	1	no	—
1369	C₂²	—	8	2	no	—
1370	C₂²	—	8	4	no	—
1371	C₂²	—	8	4	no	—
1372	C₂²	D₄²×C₁₃	1	2	yes	—
1373	C₂²	C₂³×D₄×C₁₃	1	1	yes	characteristic
1374	C₄	—	2	2	no	—
1375	C₄	—	2	2	no	—
1376	C₄	—	2	1	no	—
1377	C₄	—	2	1	no	—
1378	C₄	—	2	2	no	—
1379	C₄	—	2	4	no	—
1380	C₄	—	2	2	no	—
1381	C₄	—	4	2	no	—
1382	C₄	—	4	1	no	—
1383	C₄	—	4	1	no	—
1384	C₄	—	4	1	no	—
1385	C₄	—	4	1	no	—
1386	C₄	—	4	2	no	—
1387	C₄	D₄²×C₁₃	1	2	yes	—
1388	C₄	C₂³×D₄×C₁₃	1	1	yes	characteristic
1389	C₄	C₂×C₁₃×H(5,𝔽₂)	1	1	yes	characteristic
1390	C₂	—	2	2	no	—
1391	C₂	—	4	1	no	—
1392	C₂	—	4	1	no	—
1393	C₂	—	4	2	no	—
1394	C₂	—	4	2	no	—
1395	C₂	—	8	2	no	—
1396	C₂	—	8	1	no	—
1397	C₂	—	8	1	no	—
1398	C₂	C₂×D₄²×C₁₃	1	1	yes	characteristic
1399	C₂	C₁₃×#3584	1	1	yes	characteristic
1400	C₂	C₁₃×#3586	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂²×C₁₃	C₂³×D₄
commutator, Frattini, cosocle	C₂×C₄	C₂⁵×C₁₃
LCS	G ▷ C₂×C₄ ▷ C₂ ▷ C₁
UCS	C₁ ◁ C₂²×C₁₃ ◁ C₁₃×#525 ◁ G

Complements

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

N	H ≅ G/N	type
1. C₂×C₁₃×#578	C₂	semidirect
2. C₂×C₁₃×#575	C₂	semidirect
3. C₁₃×#3489	C₂	semidirect
4. C₁₃×#3487	C₂	semidirect
5. C₁₃×#3285	C₂	semidirect
6. C₁₃×#3284	C₂	semidirect
7. C₁₃×#3278	C₂	semidirect
8. C₁₃×#3275	C₂	semidirect
9. C₁₃×#3271	C₂	semidirect
10. C₁₃×#3270	C₂	semidirect
11. C₁₃×#3269	C₂	semidirect
12. C₁₃×#3268	C₂	semidirect
13. C₁₃×#3154	C₂	semidirect
14. C₁₃×#3062	C₂	semidirect
15. C₁₃×#3056	C₂	semidirect
16. C₁₃×#3045	C₂	semidirect
17. C₁₃×#3044	C₂	semidirect
18. C₁₃×#3013	C₂	semidirect
19. C₁₃×#3010	C₂	semidirect
20. C₁₃×#3002	C₂	semidirect
21. C₂×C₁₃×#452	C₂	semidirect
22. C₁₃×#2947	C₂	semidirect
23. C₁₃×#2933	C₂	semidirect
25. C₂×C₁₃×2₋¹⁺⁴	C₂²	semidirect
33. C₂×C₁₃×#137	C₂²	semidirect
34. C₂×C₁₃×#137	C₂²	semidirect
35. C₂×C₁₃×#137	C₂²	semidirect
43. C₂×C₁₃×#135	C₂²	semidirect
44. C₂²×C₁₃×Q₁₆	C₂²	semidirect
45. C₂²×C₁₃×Q₁₆	C₂²	semidirect
46. C₂²×C₁₃×SD₁₆	C₂²	semidirect
47. C₂×C₁₃×#131	C₂²	semidirect
52. C₁₃×#550	C₂²	semidirect
53. D₄×Q₈×C₁₃	C₂²	semidirect
57. C₁₃×#548	C₂²	semidirect
58. C₁₃×#548	C₂²	semidirect
60. C₁₃×#547	C₂²	semidirect
62. C₁₃×#546	C₂²	semidirect
68. C₁₃×#535	C₂²	semidirect
69. C₁₃×#535	C₂²	semidirect
77. C₁₃×#519	C₂²	semidirect
78. C₁₃×#497	C₂²	semidirect
79. C₁₃×#496	C₂²	semidirect
80. C₁₃×#495	C₂²	semidirect
81. C₁₃×#492	C₂²	semidirect
82. C₁₃×#470	C₂²	semidirect
83. C₁₃×#469	C₂²	semidirect
84. C₁₃×#468	C₂²	semidirect
85. C₁₃×#468	C₂²	semidirect
86. C₁₃×#467	C₂²	semidirect
87. C₁₃×#466	C₂²	semidirect
88. C₁₃×#465	C₂²	semidirect
89. C₁₃×#465	C₂²	semidirect
90. C₁₃×#464	C₂²	semidirect
91. C₁₃×#464	C₂²	semidirect
92. C₁₃×#464	C₂²	semidirect
93. C₁₃×#463	C₂²	semidirect
94. C₁₃×#462	C₂²	semidirect
95. C₁₃×#462	C₂²	semidirect
96. C₁₃×#460	C₂²	semidirect
97. C₁₃×#459	C₂²	semidirect
100. C₁₃×#452	C₂²	semidirect
101. C₁₃×#452	C₂²	semidirect
102. C₁₃×#452	C₂²	semidirect
103. C₁₃×#452	C₂²	semidirect
104. C₁₃×#452	C₂²	semidirect
105. C₁₃×#451	C₂²	semidirect
106. C₁₃×#451	C₂²	semidirect
107. C₁₃×#450	C₂²	semidirect
108. C₁₃×#449	C₂²	semidirect
109. C₁₃×#449	C₂²	semidirect
110. C₁₃×#449	C₂²	semidirect
111. C₁₃×#449	C₂²	semidirect
112. C₁₃×#449	C₂²	semidirect
113. C₁₃×#448	C₂²	semidirect
114. C₁₃×#448	C₂²	semidirect
115. C₁₃×#448	C₂²	semidirect
116. C₁₃×#448	C₂²	semidirect
117. C₁₃×#447	C₂²	semidirect
118. C₁₃×#441	C₂²	semidirect
119. C₁₃×#440	C₂²	semidirect
120. C₄×C₁₃×Q₁₆	C₂²	semidirect
121. C₄×C₁₃×SD₁₆	C₂²	semidirect
122. C₁₃×#436	C₂²	semidirect
123. C₁₃×#435	C₂²	semidirect
124. C₁₃×#435	C₂²	semidirect
125. C₈×D₄×C₁₃	C₂²	semidirect
126. C₁₃×#428	C₂²	semidirect
127. C₁₃×#424	C₂²	semidirect
128. C₁₃×#419	C₂²	semidirect
129. C₁₃×#417	C₂²	semidirect
132. C₂×C₁₃×#103	C₂²	semidirect
133. C₂×C₁₃×#102	C₂²	semidirect
134. C₁₃×#408	C₂²	semidirect
136. C₁₃×#405	C₂²	semidirect
182. C₁₃×#137	D₄	semidirect
341. #61078	C₁₃	direct (N × H)
535. C₂×#578	C₂×C₁₃	semidirect
536. C₂×#575	C₂×C₁₃	semidirect
537. #3489	C₂×C₁₃	semidirect
538. #3487	C₂×C₁₃	semidirect
539. #3285	C₂×C₁₃	semidirect
540. #3284	C₂×C₁₃	semidirect
541. #3278	C₂×C₁₃	semidirect
542. #3275	C₂×C₁₃	semidirect
543. #3271	C₂×C₁₃	semidirect
544. #3270	C₂×C₁₃	semidirect
545. #3269	C₂×C₁₃	semidirect
546. #3268	C₂×C₁₃	semidirect
547. #3154	C₂×C₁₃	semidirect
548. #3062	C₂×C₁₃	semidirect
549. #3056	C₂×C₁₃	semidirect
550. #3045	C₂×C₁₃	semidirect
551. #3044	C₂×C₁₃	semidirect
552. #3013	C₂×C₁₃	semidirect
553. #3010	C₂×C₁₃	semidirect
554. #3002	C₂×C₁₃	semidirect
555. C₂×#452	C₂×C₁₃	semidirect
556. #2947	C₂×C₁₃	semidirect
557. #2933	C₂×C₁₃	semidirect
670. C₂×2₋¹⁺⁴	C₂²×C₁₃	semidirect
678. C₂×#137	C₂²×C₁₃	semidirect
679. C₂×#137	C₂²×C₁₃	semidirect
680. C₂×#137	C₂²×C₁₃	semidirect
688. C₂×#135	C₂²×C₁₃	semidirect
689. C₂²×Q₁₆	C₂²×C₁₃	semidirect
690. C₂²×Q₁₆	C₂²×C₁₃	semidirect
691. C₂²×SD₁₆	C₂²×C₁₃	semidirect
692. C₂×#131	C₂²×C₁₃	semidirect
697. #550	C₂²×C₁₃	semidirect
698. D₄×Q₈	C₂²×C₁₃	semidirect
702. #548	C₂²×C₁₃	semidirect
703. #548	C₂²×C₁₃	semidirect
705. #547	C₂²×C₁₃	semidirect
707. #546	C₂²×C₁₃	semidirect
713. #535	C₂²×C₁₃	semidirect
714. #535	C₂²×C₁₃	semidirect
722. #519	C₂²×C₁₃	semidirect
723. #497	C₂²×C₁₃	semidirect
724. #496	C₂²×C₁₃	semidirect
725. #495	C₂²×C₁₃	semidirect
726. #492	C₂²×C₁₃	semidirect
727. #470	C₂²×C₁₃	semidirect
728. #469	C₂²×C₁₃	semidirect
729. #468	C₂²×C₁₃	semidirect
730. #468	C₂²×C₁₃	semidirect
731. #467	C₂²×C₁₃	semidirect
732. #466	C₂²×C₁₃	semidirect
733. #465	C₂²×C₁₃	semidirect
734. #465	C₂²×C₁₃	semidirect
735. #464	C₂²×C₁₃	semidirect
736. #464	C₂²×C₁₃	semidirect
737. #464	C₂²×C₁₃	semidirect
738. #463	C₂²×C₁₃	semidirect
739. #462	C₂²×C₁₃	semidirect
740. #462	C₂²×C₁₃	semidirect
741. #460	C₂²×C₁₃	semidirect
742. #459	C₂²×C₁₃	semidirect
745. #452	C₂²×C₁₃	semidirect
746. #452	C₂²×C₁₃	semidirect
747. #452	C₂²×C₁₃	semidirect
748. #452	C₂²×C₁₃	semidirect
749. #452	C₂²×C₁₃	semidirect
750. #451	C₂²×C₁₃	semidirect
751. #451	C₂²×C₁₃	semidirect
752. #450	C₂²×C₁₃	semidirect
753. #449	C₂²×C₁₃	semidirect
754. #449	C₂²×C₁₃	semidirect
755. #449	C₂²×C₁₃	semidirect
756. #449	C₂²×C₁₃	semidirect
757. #449	C₂²×C₁₃	semidirect
758. #448	C₂²×C₁₃	semidirect
759. #448	C₂²×C₁₃	semidirect
760. #448	C₂²×C₁₃	semidirect
761. #448	C₂²×C₁₃	semidirect
762. #447	C₂²×C₁₃	semidirect
763. #441	C₂²×C₁₃	semidirect
764. #440	C₂²×C₁₃	semidirect
765. C₄×Q₁₆	C₂²×C₁₃	semidirect
766. C₄×SD₁₆	C₂²×C₁₃	semidirect
767. #436	C₂²×C₁₃	semidirect
768. #435	C₂²×C₁₃	semidirect
769. #435	C₂²×C₁₃	semidirect
770. C₈×D₄	C₂²×C₁₃	semidirect
771. #428	C₂²×C₁₃	semidirect
772. #424	C₂²×C₁₃	semidirect
773. #419	C₂²×C₁₃	semidirect
774. #417	C₂²×C₁₃	semidirect
777. C₂×#103	C₂²×C₁₃	semidirect
778. C₂×#102	C₂²×C₁₃	semidirect
779. #408	C₂²×C₁₃	semidirect
781. #405	C₂²×C₁₃	semidirect
871. #137	D₄×C₁₃	semidirect
1234. C₁₃	#61078	direct (N × H)

Maximal subgroups

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

subgroup	index
C₂×C₁₃×#578	2
C₂×C₁₃×#575	2
C₁₃×#3489	2
C₁₃×#3487	2
C₁₃×#3285	2
C₁₃×#3284	2
C₁₃×#3278	2
C₁₃×#3275	2
C₁₃×#3271	2
C₁₃×#3270	2
C₁₃×#3269	2
C₁₃×#3268	2
C₁₃×#3154	2
C₁₃×#3062	2
C₁₃×#3056	2
C₁₃×#3045	2
C₁₃×#3044	2
C₁₃×#3013	2
C₁₃×#3010	2
C₁₃×#3002	2
C₂×C₁₃×#452	2
C₁₃×#2947	2
C₁₃×#2933	2
#61078	13

Subgroups — C13×#61078 #15747417

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₃×#61078 #15747417