Subgroups — C₁₃×#61655 #15747994

Order 3328.

2032 conjugacy classes of subgroups.

The subgroup lattice has 1850 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₁₃×#3541	C₂	1	1	yes	maximal, characteristic, complemented
2	C₁₃×#3489	C₂	1	1	yes	maximal, characteristic, complemented
3	C₁₃×#3331	C₂	1	1	yes	maximal, characteristic, complemented
4	C₁₃×#3328	C₂	1	1	yes	maximal, characteristic, complemented
5	C₁₃×#3326	C₂	1	1	yes	maximal, characteristic, complemented
6	C₁₃×#3323	C₂	1	1	yes	maximal, characteristic, complemented
7	C₁₃×#3316	C₂	1	1	yes	maximal, characteristic, complemented
8	C₁₃×#3312	C₂	1	1	yes	maximal, characteristic, complemented
9	C₁₃×#3311	C₂	1	1	yes	maximal, characteristic, complemented
10	C₁₃×#3307	C₂	1	1	yes	maximal, characteristic, complemented
11	C₁₃×#3277	C₂	1	1	yes	maximal, characteristic, complemented
12	C₁₃×#3276	C₂	1	1	yes	maximal, characteristic, complemented
13	C₁₃×#3276	C₂	1	1	yes	maximal, characteristic, complemented
14	C₁₃×#3275	C₂	1	1	yes	maximal, characteristic, complemented
15	C₁₃×#3270	C₂	1	1	yes	maximal, characteristic, complemented
16	C₁₃×#3270	C₂	1	1	yes	maximal, characteristic, complemented
17	C₁₃×#3269	C₂	1	1	yes	maximal, characteristic, complemented
18	C₁₃×#3267	C₂	1	1	yes	maximal, characteristic, complemented
19	C₁₃×#3225	C₂	1	1	yes	maximal, characteristic, complemented
20	C₁₃×#3223	C₂	1	1	yes	maximal, characteristic, complemented
21	C₁₃×#3204	C₂	1	1	yes	maximal, characteristic, complemented
22	C₁₃×#3201	C₂	1	1	yes	maximal, characteristic, complemented
23	C₁₃×#3196	C₂	1	1	yes	maximal, characteristic, complemented
24	C₁₃×#3195	C₂	1	1	yes	maximal, characteristic, complemented
25	C₁₃×#3125	C₂	1	1	yes	maximal, characteristic, complemented
26	C₁₃×#3120	C₂	1	1	yes	maximal, characteristic, complemented
27	C₁₃×#3013	C₂	1	1	yes	maximal, characteristic, complemented
28	C₁₃×#3011	C₂	1	1	yes	maximal, characteristic, complemented
29	C₁₃×#3007	C₂	1	1	yes	maximal, characteristic, complemented
30	C₁₃×#3005	C₂	1	1	yes	maximal, characteristic, complemented
31	C₁₃×#2978	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂×C₁₃×2₋¹⁺⁴	C₂²	1	1	yes	characteristic
33	C₂²×C₁₃×#41	C₂²	1	1	yes	characteristic
34	C₂×C₁₃×#137	C₂²	1	1	yes	characteristic
35	C₂×C₁₃×#137	C₂²	1	1	yes	characteristic
36	C₂×C₁₃×#137	C₂²	1	1	yes	characteristic
37	C₂×C₁₃×#137	C₂²	1	1	yes	characteristic, complemented
38	C₂×C₁₃×#137	C₂²	1	1	yes	characteristic, complemented
39	C₂×C₁₃×AGL(1,ℤ/8)	C₂²	1	1	yes	characteristic
40	C₂×C₁₃×#135	C₂²	1	1	yes	characteristic, complemented
41	C₂²×C₁₃×Q₁₆	C₂²	1	1	yes	characteristic, complemented
42	C₁₃×#563	—	2	1	no	—
43	C₁₃×#562	—	2	1	no	—
44	C₁₃×#556	C₂²	1	1	yes	characteristic
45	C₁₃×#554	—	2	1	no	—
46	C₁₃×#554	C₂²	1	1	yes	characteristic, complemented
47	C₁₃×#553	—	2	1	no	—
48	C₁₃×#553	C₂²	1	1	yes	characteristic, complemented
49	C₁₃×#552	C₂²	1	1	yes	characteristic
50	D₄×Q₈×C₁₃	C₂²	1	1	yes	characteristic
51	D₄×Q₈×C₁₃	C₂²	1	1	yes	characteristic
52	D₄×Q₈×C₁₃	C₂²	1	1	yes	characteristic, complemented
53	C₁₃×#548	C₂²	1	1	yes	characteristic
54	C₁₃×#548	C₂²	1	1	yes	characteristic
55	C₁₃×#548	C₂²	1	1	yes	characteristic
56	C₁₃×#548	C₂²	1	1	yes	characteristic, complemented
57	C₁₃×#547	—	2	1	no	—
58	C₁₃×#547	—	2	1	no	—
59	C₁₃×#547	C₂²	1	1	yes	characteristic
60	C₁₃×#547	C₂²	1	1	yes	characteristic
61	C₁₃×#547	C₂²	1	1	yes	characteristic
62	C₁₃×#546	—	2	1	no	—
63	C₁₃×#546	—	2	1	no	—
64	C₁₃×#546	C₂²	1	1	yes	characteristic
65	C₁₃×#546	C₂²	1	1	yes	characteristic
66	C₁₃×#542	—	2	1	no	—
67	C₁₃×#542	C₂²	1	1	yes	characteristic, complemented
68	C₁₃×#541	C₂²	1	1	yes	characteristic, complemented
69	C₁₃×#539	—	2	1	no	—
70	C₁₃×#538	—	2	1	no	—
71	C₁₃×#538	—	2	1	no	—
72	C₁₃×#537	—	2	1	no	—
73	C₁₃×#537	C₂²	1	1	yes	characteristic
74	C₁₃×#537	C₂²	1	1	yes	characteristic, complemented
75	C₁₃×#536	—	2	1	no	—
76	C₁₃×#536	C₂²	1	1	yes	characteristic
77	C₁₃×#536	C₂²	1	1	yes	characteristic, complemented
78	C₁₃×#525	—	2	1	no	—
79	C₁₃×#525	C₂²	1	1	yes	characteristic
80	C₁₃×#525	C₂²	1	1	yes	characteristic
81	C₂×C₁₃×C₂²⋊Q₈	—	2	1	no	—
82	C₂×C₁₃×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
83	C₂×C₁₃×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
84	C₁₃×#520	C₂²	1	1	yes	characteristic
85	C₁₃×#497	C₂²	1	1	yes	characteristic, complemented
86	C₁₃×#497	C₂²	1	1	yes	characteristic, complemented
87	C₁₃×#495	C₂²	1	1	yes	characteristic, complemented
88	C₁₃×#494	C₂²	1	1	yes	characteristic, complemented
89	C₁₃×#491	C₂²	1	1	yes	characteristic, complemented
90	C₁₃×#489	C₂²	1	1	yes	characteristic, complemented
91	C₁₃×#488	C₂²	1	1	yes	characteristic, complemented
92	C₁₃×#487	C₂²	1	1	yes	characteristic, complemented
93	C₁₃×#485	C₂²	1	1	yes	characteristic
94	C₁₃×#485	C₂²	1	1	yes	characteristic
95	C₁₃×#485	C₂²	1	1	yes	characteristic, complemented
96	C₁₃×#484	C₂²	1	1	yes	characteristic, complemented
97	C₁₃×#483	C₂²	1	1	yes	characteristic, complemented
98	C₁₃×#483	C₂²	1	1	yes	characteristic, complemented
99	C₁₃×#483	C₂²	1	1	yes	characteristic, complemented
100	C₁₃×#483	C₂²	1	1	yes	characteristic, complemented
101	C₁₃×#483	C₂²	1	1	yes	characteristic, complemented
102	C₁₃×#482	C₂²	1	1	yes	characteristic, complemented
103	C₁₃×#481	C₂²	1	1	yes	characteristic, complemented
104	C₁₃×#481	C₂²	1	1	yes	characteristic, complemented
105	C₁₃×#479	C₂²	1	1	yes	characteristic, complemented
106	C₁₃×#478	C₂²	1	1	yes	characteristic, complemented
107	C₁₃×#476	C₂²	1	1	yes	characteristic, complemented
108	C₁₃×#475	C₂²	1	1	yes	characteristic, complemented
109	C₁₃×#470	C₂²	1	1	yes	characteristic
110	C₁₃×#470	C₂²	1	1	yes	characteristic
111	C₁₃×#470	C₂²	1	1	yes	characteristic
112	C₁₃×#470	C₂²	1	1	yes	characteristic
113	C₁₃×#470	C₂²	1	1	yes	characteristic, complemented
114	C₁₃×#470	C₂²	1	1	yes	characteristic, complemented
115	C₁₃×#470	C₂²	1	1	yes	characteristic, complemented
116	C₁₃×#470	C₂²	1	1	yes	characteristic, complemented
117	C₁₃×#469	C₂²	1	1	yes	characteristic, complemented
118	C₁₃×#468	C₂²	1	1	yes	characteristic, complemented
119	C₁₃×#468	C₂²	1	1	yes	characteristic, complemented
120	C₁₃×#468	C₂²	1	1	yes	characteristic, complemented
121	C₁₃×#467	C₂²	1	1	yes	characteristic, complemented
122	C₁₃×#465	C₂²	1	1	yes	characteristic, complemented
123	C₁₃×#465	C₂²	1	1	yes	characteristic, complemented
124	C₁₃×#465	C₂²	1	1	yes	characteristic, complemented
125	C₁₃×#464	C₂²	1	1	yes	characteristic, complemented
126	C₁₃×#464	C₂²	1	1	yes	characteristic, complemented
127	C₁₃×#464	C₂²	1	1	yes	characteristic, complemented
128	C₁₃×#464	C₂²	1	1	yes	characteristic, complemented
129	C₁₃×#463	C₂²	1	1	yes	characteristic, complemented
130	C₁₃×#463	C₂²	1	1	yes	characteristic, complemented
131	C₁₃×#462	C₂²	1	1	yes	characteristic, complemented
132	C₁₃×#462	C₂²	1	1	yes	characteristic, complemented
133	C₁₃×#462	C₂²	1	1	yes	characteristic, complemented
134	C₁₃×#462	C₂²	1	1	yes	characteristic, complemented
135	C₁₃×#461	C₂²	1	1	yes	characteristic, complemented
136	C₁₃×#461	C₂²	1	1	yes	characteristic, complemented
137	C₁₃×#452	C₂²	1	1	yes	characteristic
138	C₁₃×#452	C₂²	1	1	yes	characteristic
139	C₁₃×#452	C₂²	1	1	yes	characteristic
140	C₁₃×#452	C₂²	1	1	yes	characteristic
141	C₁₃×#452	C₂²	1	1	yes	characteristic
142	C₁₃×#452	C₂²	1	1	yes	characteristic
143	C₁₃×#452	C₂²	1	1	yes	characteristic
144	C₁₃×#452	C₂²	1	1	yes	characteristic
145	C₁₃×#452	C₂²	1	1	yes	characteristic
146	C₁₃×#452	C₂²	1	1	yes	characteristic
147	C₁₃×#452	C₂²	1	1	yes	characteristic, complemented
148	C₁₃×#452	C₂²	1	1	yes	characteristic, complemented
149	C₁₃×#452	C₂²	1	1	yes	characteristic, complemented
150	C₁₃×#452	C₂²	1	1	yes	characteristic, complemented
151	C₁₃×#451	C₂²	1	1	yes	characteristic
152	C₁₃×#451	C₂²	1	1	yes	characteristic
153	C₁₃×#451	C₂²	1	1	yes	characteristic, complemented
154	C₁₃×#451	C₂²	1	1	yes	characteristic, complemented
155	C₁₃×#451	C₂²	1	1	yes	characteristic, complemented
156	C₁₃×#451	C₂²	1	1	yes	characteristic, complemented
157	C₁₃×#451	C₂²	1	1	yes	characteristic, complemented
158	C₁₃×#451	C₂²	1	1	yes	characteristic, complemented
159	C₁₃×#451	C₂²	1	1	yes	characteristic, complemented
160	C₁₃×#451	C₂²	1	1	yes	characteristic, complemented
161	C₁₃×#451	C₂²	1	1	yes	characteristic, complemented
162	C₁₃×#450	C₂²	1	1	yes	characteristic
163	C₁₃×#450	C₂²	1	1	yes	characteristic
164	C₁₃×#449	C₂²	1	1	yes	characteristic
165	C₁₃×#449	C₂²	1	1	yes	characteristic
166	C₁₃×#449	C₂²	1	1	yes	characteristic
167	C₁₃×#449	C₂²	1	1	yes	characteristic
168	C₁₃×#449	C₂²	1	1	yes	characteristic, complemented
169	C₁₃×#449	C₂²	1	1	yes	characteristic, complemented
170	C₁₃×#448	C₂²	1	1	yes	characteristic, complemented
171	C₁₃×#448	C₂²	1	1	yes	characteristic, complemented
172	C₁₃×#448	C₂²	1	1	yes	characteristic, complemented
173	C₁₃×#442	C₂²	1	1	yes	characteristic, complemented
174	C₁₃×#441	C₂²	1	1	yes	characteristic, complemented
175	C₁₃×#441	C₂²	1	1	yes	characteristic, complemented
176	C₁₃×#440	C₂²	1	1	yes	characteristic, complemented
177	C₄×C₁₃×Q₁₆	C₂²	1	1	yes	characteristic, complemented
178	C₄×C₁₃×SD₁₆	C₂²	1	1	yes	characteristic, complemented
179	C₄×C₁₃×SD₁₆	C₂²	1	1	yes	characteristic, complemented
180	C₄×C₁₃×SD₁₆	C₂²	1	1	yes	characteristic, complemented
181	C₁₃×#436	C₂²	1	1	yes	characteristic
182	C₁₃×#436	C₂²	1	1	yes	characteristic
183	C₁₃×#436	C₂²	1	1	yes	characteristic, complemented
184	C₁₃×#436	C₂²	1	1	yes	characteristic, complemented
185	C₁₃×#435	C₂²	1	1	yes	characteristic
186	C₁₃×#435	C₂²	1	1	yes	characteristic
187	C₁₃×#435	C₂²	1	1	yes	characteristic, complemented
188	C₁₃×#435	C₂²	1	1	yes	characteristic, complemented
189	C₁₃×#433	C₂²	1	1	yes	characteristic, complemented
190	C₁₃×#433	C₂²	1	1	yes	characteristic, complemented
191	C₁₃×#419	C₂²	1	1	yes	characteristic
192	C₁₃×#419	C₂²	1	1	yes	characteristic, complemented
193	C₁₃×#418	C₂²	1	1	yes	characteristic
194	C₁₃×#417	C₂²	1	1	yes	characteristic
195	C₁₃×#417	C₂²	1	1	yes	characteristic
196	C₁₃×#417	C₂²	1	1	yes	characteristic, complemented
197	C₁₃×#416	C₂²	1	1	yes	characteristic, complemented
198	C₂×C₁₃×#103	C₂²	1	1	yes	characteristic, complemented
199	C₁₃×#408	C₂²	1	1	yes	characteristic, complemented
200	C₁₃×#408	C₂²	1	1	yes	characteristic, complemented
201	C₁₃×#407	C₂²	1	1	yes	characteristic
202	C₁₃×#407	C₂²	1	1	yes	characteristic
203	C₁₃×2₋¹⁺⁴	—	4	2	no	—
204	C₁₃×2₋¹⁺⁴	—	4	2	no	—
205	C₂×C₁₃×#41	—	2	1	no	—
206	C₂×C₁₃×#41	—	2	1	no	—
207	C₂×C₁₃×#41	—	2	1	no	—
208	C₂×C₁₃×#41	—	2	1	no	—
209	C₂×C₁₃×#41	—	2	1	no	—
210	C₂×C₁₃×#41	—	4	2	no	—
211	C₂×C₁₃×#41	—	4	2	no	—
212	C₂×C₁₃×#41	C₂³	1	1	yes	characteristic
213	C₂×C₁₃×#41	C₂³	1	1	yes	characteristic
214	C₂×C₁₃×#41	C₂³	1	1	yes	characteristic
215	C₂×C₁₃×#41	C₂³	1	1	yes	characteristic
216	C₂×C₁₃×#41	C₂³	1	1	yes	characteristic
217	C₂×C₁₃×#41	C₂³	1	1	yes	characteristic
218	C₂×C₁₃×#41	C₂³	1	1	yes	characteristic
219	C₂×C₁₃×#41	C₂³	1	1	yes	characteristic
220	C₂×C₁₃×#41	C₂³	1	1	yes	characteristic
221	C₂²×Q₈×C₁₃	—	2	1	no	—
222	C₂²×Q₈×C₁₃	C₂³	1	1	yes	characteristic
223	C₂²×Q₈×C₁₃	C₂³	1	1	yes	characteristic
224	C₂²×Q₈×C₁₃	C₂³	1	1	yes	characteristic
225	C₂²×Q₈×C₁₃	C₂³	1	1	yes	characteristic
226	C₂²×Q₈×C₁₃	C₂³	1	1	yes	characteristic
227	C₂²×Q₈×C₁₃	C₂³	1	1	yes	characteristic
228	C₂²×D₄×C₁₃	—	2	1	no	—
229	C₂²×D₄×C₁₃	C₂³	1	1	yes	characteristic
230	C₂³×C₄×C₁₃	—	2	1	no	—
231	C₂³×C₄×C₁₃	C₂³	1	1	yes	characteristic
232	C₁₃×#137	—	4	2	no	—
233	C₁₃×#137	—	4	2	no	—
234	C₁₃×#137	—	4	2	no	—
235	C₁₃×#137	—	4	2	no	—
236	C₁₃×#137	—	4	2	no	—
237	C₁₃×AGL(1,ℤ/8)	—	4	2	no	—
238	C₁₃×#135	—	4	2	no	—
239	C₂×C₁₃×Q₁₆	—	4	2	no	—
240	C₂×C₁₃×Q₁₆	C₂³	1	1	yes	characteristic
241	C₂×C₁₃×Q₁₆	C₂³	1	1	yes	characteristic
242	C₂×C₁₃×Q₁₆	C₂³	1	1	yes	characteristic
243	C₂×C₁₃×Q₁₆	C₂³	1	1	yes	characteristic
244	C₂×C₁₃×Q₁₆	C₂³	1	1	yes	characteristic
245	C₂×C₁₃×Q₁₆	C₂³	1	1	yes	characteristic
246	C₂×C₁₃×Q₁₆	C₂³	1	1	yes	characteristic
247	C₂×C₁₃×Q₁₆	C₂³	1	1	yes	characteristic
248	C₂×C₁₃×Q₁₆	C₂³	1	1	yes	characteristic
249	C₂×C₁₃×Q₁₆	C₂³	1	1	yes	characteristic
250	C₂×C₁₃×Q₁₆	C₂³	1	1	yes	characteristic
251	C₂×C₁₃×Q₁₆	C₂³	1	1	yes	characteristic
252	C₂×C₁₃×SD₁₆	C₂³	1	1	yes	characteristic
253	C₂×C₁₃×SD₁₆	C₂³	1	1	yes	characteristic
254	C₂×C₁₃×SD₁₆	C₂³	1	1	yes	characteristic
255	C₂×C₁₃×SD₁₆	C₂³	1	1	yes	characteristic
256	C₂×C₁₃×SD₁₆	C₂³	1	1	yes	characteristic
257	C₂×C₁₃×SD₁₆	C₂³	1	1	yes	characteristic
258	C₂×C₁₃×SD₁₆	C₂³	1	1	yes	characteristic
259	C₂×C₁₃×SD₁₆	C₂³	1	1	yes	characteristic
260	C₂×C₁₃×SD₁₆	C₂³	1	1	yes	characteristic
261	C₂×C₁₃×SD₁₆	C₂³	1	1	yes	characteristic
262	C₂×C₁₃×D₈	C₂³	1	1	yes	characteristic
263	C₂×C₁₃×D₈	C₂³	1	1	yes	characteristic
264	C₂×C₁₃×M₁₆	C₂³	1	1	yes	characteristic
265	C₂×C₁₃×M₁₆	C₂³	1	1	yes	characteristic
266	C₂×C₁₃×M₁₆	C₂³	1	1	yes	characteristic
267	C₂×C₁₃×M₁₆	C₂³	1	1	yes	characteristic
268	C₂×C₁₃×M₁₆	C₂³	1	1	yes	characteristic
269	C₂×C₁₃×M₁₆	C₂³	1	1	yes	characteristic
270	C₂²×C₈×C₁₃	C₂³	1	1	yes	characteristic
271	C₂²×C₈×C₁₃	C₂³	1	1	yes	characteristic
272	C₁₃×C₄⋊Q₈	—	2	1	no	—
273	C₁₃×C₄⋊Q₈	—	2	1	no	—
274	C₁₃×C₄⋊Q₈	—	2	1	no	—
275	C₁₃×C₄⋊Q₈	—	2	1	no	—
276	C₁₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
277	C₁₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
278	C₁₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
279	C₁₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
280	C₁₃×#126	—	2	1	no	—
281	C₁₃×#126	—	2	1	no	—
282	C₁₃×#126	—	2	1	no	—
283	C₁₃×#126	—	2	1	no	—
284	C₁₃×#126	—	2	1	no	—
285	C₁₃×#126	—	2	1	no	—
286	C₁₃×#126	—	2	1	no	—
287	C₁₃×#125	—	2	1	no	—
288	C₁₃×#125	—	2	1	no	—
289	C₁₃×#125	—	2	1	no	—
290	C₁₃×#125	—	2	1	no	—
291	C₁₃×#125	C₂³	1	1	yes	characteristic
292	C₁₃×#124	—	2	1	no	—
293	C₁₃×#124	—	2	1	no	—
294	C₁₃×#124	—	2	1	no	—
295	C₁₃×#124	—	2	1	no	—
296	C₁₃×#124	—	2	1	no	—
297	C₁₃×#124	—	2	1	no	—
298	C₁₃×#124	—	2	1	no	—
299	C₁₃×#124	C₂³	1	1	yes	characteristic
300	C₁₃×#124	C₂³	1	1	yes	characteristic
301	C₁₃×#124	C₂³	1	1	yes	characteristic
302	C₁₃×#123	—	2	1	no	—
303	C₁₃×#123	—	2	1	no	—
304	C₁₃×#123	—	2	1	no	—
305	C₁₃×#123	—	2	1	no	—
306	C₁₃×#123	—	2	1	no	—
307	C₁₃×#123	—	2	1	no	—
308	C₁₃×#123	—	2	1	no	—
309	C₁₃×#123	—	2	1	no	—
310	C₁₃×#123	—	2	1	no	—
311	C₁₃×#123	—	2	1	no	—
312	C₁₃×#123	—	2	1	no	—
313	C₁₃×#123	—	2	1	no	—
314	C₁₃×#123	—	2	1	no	—
315	C₁₃×#123	—	2	1	no	—
316	C₁₃×#123	—	2	1	no	—
317	C₁₃×#123	—	2	1	no	—
318	C₁₃×#123	D₄	1	1	yes	characteristic
319	C₁₃×#123	D₄	1	1	yes	characteristic
320	C₁₃×C₂²⋊Q₈	—	2	1	no	—
321	C₁₃×C₂²⋊Q₈	—	2	1	no	—
322	C₁₃×C₂²⋊Q₈	—	2	1	no	—
323	C₁₃×C₂²⋊Q₈	—	2	1	no	—
324	C₁₃×C₂²⋊Q₈	—	2	1	no	—
325	C₁₃×C₂²⋊Q₈	—	2	1	no	—
326	C₁₃×C₂²⋊Q₈	—	2	1	no	—
327	C₁₃×C₂²⋊Q₈	—	2	1	no	—
328	C₁₃×C₂²⋊Q₈	—	2	1	no	—
329	C₁₃×C₂²⋊Q₈	—	2	1	no	—
330	C₁₃×C₂²⋊Q₈	—	2	1	no	—
331	C₁₃×C₂²⋊Q₈	—	2	1	no	—
332	C₁₃×C₂²⋊Q₈	—	2	1	no	—
333	C₁₃×C₂²⋊Q₈	—	2	1	no	—
334	C₁₃×C₂²⋊Q₈	—	2	1	no	—
335	C₁₃×C₂²⋊Q₈	—	2	1	no	—
336	C₁₃×C₂²⋊Q₈	—	2	1	no	—
337	C₁₃×C₂²⋊Q₈	—	2	1	no	—
338	C₁₃×C₂²⋊Q₈	—	2	1	no	—
339	C₁₃×C₂²⋊Q₈	—	2	1	no	—
340	C₁₃×C₂²⋊Q₈	—	2	1	no	—
341	C₁₃×C₂²⋊Q₈	D₄	1	1	yes	characteristic
342	C₁₃×C₂²⋊Q₈	D₄	1	1	yes	characteristic
343	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
344	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
345	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
346	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
347	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
348	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
349	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
350	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
351	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
352	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
353	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
354	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
355	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
356	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
357	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
358	C₁₃×#121	—	2	1	no	—
359	C₁₃×#121	—	2	1	no	—
360	C₁₃×#121	—	2	1	no	—
361	C₁₃×#121	—	2	1	no	—
362	C₁₃×#121	—	2	1	no	—
363	C₁₃×#121	—	2	1	no	—
364	C₁₃×#121	—	2	1	no	—
365	C₁₃×#121	—	2	1	no	—
366	C₁₃×#121	—	2	1	no	—
367	C₁₃×#121	—	2	1	no	—
368	C₁₃×#121	—	2	1	no	—
369	C₁₃×#121	—	2	1	no	—
370	C₁₃×#121	—	2	1	no	—
371	C₁₃×#121	—	2	1	no	—
372	C₁₃×#121	—	2	1	no	—
373	C₁₃×#121	—	2	1	no	—
374	C₁₃×#121	D₄	1	1	yes	characteristic
375	C₁₃×#121	D₄	1	1	yes	characteristic
376	C₁₃×#121	C₂³	1	1	yes	characteristic
377	C₁₃×#121	C₂³	1	1	yes	characteristic
378	C₁₃×#121	C₂³	1	1	yes	characteristic
379	C₁₃×#121	C₂³	1	1	yes	characteristic
380	C₁₃×#121	C₂³	1	1	yes	characteristic
381	C₁₃×#120	—	2	1	no	—
382	C₁₃×#120	—	2	1	no	—
383	C₁₃×#120	—	2	1	no	—
384	C₁₃×#120	D₄	1	1	yes	characteristic
385	C₁₃×#120	D₄	1	1	yes	characteristic
386	C₄×Q₈×C₁₃	—	2	1	no	—
387	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
388	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
389	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
390	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
391	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
392	C₄×D₄×C₁₃	—	2	1	no	—
393	C₄×D₄×C₁₃	—	2	1	no	—
394	C₄×D₄×C₁₃	—	2	1	no	—
395	C₄×D₄×C₁₃	—	2	1	no	—
396	C₄×D₄×C₁₃	—	2	1	no	—
397	C₄×D₄×C₁₃	—	2	1	no	—
398	C₄×D₄×C₁₃	—	2	1	no	—
399	C₄×D₄×C₁₃	—	2	1	no	—
400	C₄×D₄×C₁₃	—	2	1	no	—
401	C₄×D₄×C₁₃	—	2	1	no	—
402	C₄×D₄×C₁₃	—	2	1	no	—
403	C₄×D₄×C₁₃	—	2	1	no	—
404	C₄×D₄×C₁₃	—	2	1	no	—
405	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
406	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
407	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
408	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
409	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
410	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
411	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
412	C₁₃×#117	—	2	1	no	—
413	C₁₃×#117	—	2	1	no	—
414	C₁₃×#117	C₂³	1	1	yes	characteristic
415	C₁₃×#117	C₂³	1	1	yes	characteristic
416	C₁₃×#117	C₂³	1	1	yes	characteristic
417	C₂×C₁₃×C₄⋊C₄	—	2	1	no	—
418	C₂×C₁₃×C₄⋊C₄	—	2	1	no	—
419	C₂×C₁₃×C₄⋊C₄	—	2	1	no	—
420	C₂×C₁₃×C₄⋊C₄	—	2	1	no	—
421	C₂×C₁₃×C₄⋊C₄	—	2	1	no	—
422	C₂×C₁₃×C₄⋊C₄	—	2	1	no	—
423	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
424	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
425	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
426	C₂×C₁₃×C₂²⋊C₄	—	2	1	no	—
427	C₂×C₁₃×C₂²⋊C₄	—	2	1	no	—
428	C₂×C₁₃×C₂²⋊C₄	—	2	1	no	—
429	C₂×C₁₃×C₂²⋊C₄	—	2	1	no	—
430	C₁₃×#107	C₂³	1	1	yes	characteristic
431	C₁₃×#107	C₂³	1	1	yes	characteristic
432	C₁₃×#106	C₂³	1	1	yes	characteristic
433	C₁₃×#106	C₂³	1	1	yes	characteristic
434	C₁₃×#106	C₂³	1	1	yes	characteristic
435	C₁₃×#106	C₂³	1	1	yes	characteristic
436	C₁₃×#106	C₂³	1	1	yes	characteristic
437	C₁₃×#106	C₂³	1	1	yes	characteristic
438	C₁₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
439	C₁₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
440	C₁₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
441	C₁₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
442	C₁₃×#103	C₂³	1	1	yes	characteristic
443	C₁₃×#103	C₂³	1	1	yes	characteristic
444	C₁₃×#103	C₂³	1	1	yes	characteristic
445	C₁₃×#103	C₂³	1	1	yes	characteristic
446	C₁₃×#103	C₂³	1	1	yes	characteristic
447	C₁₃×#103	C₂³	1	1	yes	characteristic
448	C₁₃×#103	C₂³	1	1	yes	characteristic
449	C₁₃×#103	C₂³	1	1	yes	characteristic
450	C₁₃×#103	C₂³	1	1	yes	characteristic
451	C₁₃×#103	C₂³	1	1	yes	characteristic
452	C₁₃×#103	C₂³	1	1	yes	characteristic
453	C₁₃×#103	C₂³	1	1	yes	characteristic
454	C₁₃×#103	C₂³	1	1	yes	characteristic
455	C₁₃×#103	C₂³	1	1	yes	characteristic
456	C₁₃×#103	C₂³	1	1	yes	characteristic
457	C₁₃×#103	C₂³	1	1	yes	characteristic
458	C₁₃×#103	C₂³	1	1	yes	characteristic
459	C₁₃×#103	C₂³	1	1	yes	characteristic
460	C₁₃×#103	C₂³	1	1	yes	characteristic
461	C₁₃×#103	C₂³	1	1	yes	characteristic
462	C₁₃×#103	C₂³	1	1	yes	characteristic
463	C₁₃×#103	C₂³	1	1	yes	characteristic
464	C₁₃×#102	C₂³	1	1	yes	characteristic
465	C₁₃×#102	C₂³	1	1	yes	characteristic
466	C₁₃×#102	C₂³	1	1	yes	characteristic
467	C₁₃×#102	C₂³	1	1	yes	characteristic
468	C₁₃×#102	C₂³	1	1	yes	characteristic
469	C₁₃×#102	C₂³	1	1	yes	characteristic
470	C₁₃×#102	C₂³	1	1	yes	characteristic
471	C₁₃×#102	C₂³	1	1	yes	characteristic
472	C₁₃×#102	C₂³	1	1	yes	characteristic
473	C₁₃×#102	C₂³	1	1	yes	characteristic
474	C₁₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
475	C₁₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
476	C₁₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
477	C₁₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
478	C₁₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
479	C₁₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
480	C₁₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
481	C₁₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
482	C₁₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
483	C₁₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
484	C₁₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
485	C₁₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
486	C₁₃×#97	C₂³	1	1	yes	characteristic
487	C₁₃×#97	C₂³	1	1	yes	characteristic
488	C₄×C₈×C₁₃	C₂³	1	1	yes	characteristic
489	C₄×C₈×C₁₃	C₂³	1	1	yes	characteristic
490	#61655	C₁₃	1	1	yes	maximal, characteristic, direct product factor, Sylow
491	C₂⁴×C₁₃	—	2	1	no	—
492	C₂⁴×C₁₃	C₂×D₄	1	1	yes	characteristic
493	C₁₃×#41	—	2	2	no	—
494	C₁₃×#41	—	2	2	no	—
495	C₁₃×#41	—	2	2	no	—
496	C₁₃×#41	—	2	2	no	—
497	C₁₃×#41	—	2	2	no	—
498	C₁₃×#41	—	2	2	no	—
499	C₁₃×#41	—	4	1	no	—
500	C₁₃×#41	—	4	1	no	—
501	C₁₃×#41	—	4	1	no	—
502	C₁₃×#41	—	4	1	no	—
503	C₁₃×#41	—	4	1	no	—
504	C₁₃×#41	—	4	1	no	—
505	C₁₃×#41	—	4	1	no	—
506	C₁₃×#41	—	4	1	no	—
507	C₁₃×#41	—	4	4	no	—
508	C₁₃×#41	—	4	4	no	—
509	C₁₃×#41	—	4	1	no	—
510	C₁₃×#41	—	4	1	no	—
511	C₁₃×#41	—	4	1	no	—
512	C₁₃×#41	—	4	1	no	—
513	C₁₃×#41	—	4	4	no	—
514	C₁₃×#41	—	4	4	no	—
515	C₁₃×#41	—	4	4	no	—
516	C₂×Q₈×C₁₃	—	2	1	no	—
517	C₂×Q₈×C₁₃	—	2	1	no	—
518	C₂×Q₈×C₁₃	—	2	1	no	—
519	C₂×Q₈×C₁₃	—	2	1	no	—
520	C₂×Q₈×C₁₃	—	2	1	no	—
521	C₂×Q₈×C₁₃	—	2	1	no	—
522	C₂×Q₈×C₁₃	—	2	1	no	—
523	C₂×Q₈×C₁₃	—	2	2	no	—
524	C₂×Q₈×C₁₃	—	2	2	no	—
525	C₂×Q₈×C₁₃	—	2	2	no	—
526	C₂×Q₈×C₁₃	—	4	1	no	—
527	C₂×Q₈×C₁₃	—	4	1	no	—
528	C₂×Q₈×C₁₃	—	4	1	no	—
529	C₂×Q₈×C₁₃	—	4	1	no	—
530	C₂×Q₈×C₁₃	—	4	1	no	—
531	C₂×Q₈×C₁₃	—	4	4	no	—
532	C₂×Q₈×C₁₃	—	4	1	no	—
533	C₂×Q₈×C₁₃	—	4	1	no	—
534	C₂×Q₈×C₁₃	—	4	1	no	—
535	C₂×Q₈×C₁₃	—	4	1	no	—
536	C₂×Q₈×C₁₃	C₂×D₄	1	1	yes	characteristic
537	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
538	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
539	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
540	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
541	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
542	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
543	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
544	C₂×D₄×C₁₃	—	2	1	no	—
545	C₂×D₄×C₁₃	—	2	2	no	—
546	C₂×D₄×C₁₃	—	2	1	no	—
547	C₂×D₄×C₁₃	—	2	1	no	—
548	C₂×D₄×C₁₃	—	2	1	no	—
549	C₂×D₄×C₁₃	—	2	1	no	—
550	C₂×D₄×C₁₃	—	2	1	no	—
551	C₂×D₄×C₁₃	—	2	1	no	—
552	C₂×D₄×C₁₃	—	2	1	no	—
553	C₂×D₄×C₁₃	—	2	1	no	—
554	C₂×D₄×C₁₃	—	2	1	no	—
555	C₂×D₄×C₁₃	—	2	1	no	—
556	C₂×D₄×C₁₃	—	2	1	no	—
557	C₂×D₄×C₁₃	—	2	1	no	—
558	C₂×D₄×C₁₃	—	2	1	no	—
559	C₂×D₄×C₁₃	—	4	1	no	—
560	C₂×D₄×C₁₃	—	4	4	no	—
561	C₂×D₄×C₁₃	C₂×D₄	1	1	yes	characteristic
562	C₂×D₄×C₁₃	C₂×D₄	1	1	yes	characteristic
563	C₂×D₄×C₁₃	C₂×D₄	1	1	yes	characteristic
564	C₂×D₄×C₁₃	C₂×D₄	1	1	yes	characteristic
565	C₂×D₄×C₁₃	C₂×D₄	1	1	yes	characteristic
566	C₂×D₄×C₁₃	C₂×D₄	1	1	yes	characteristic
567	C₂×D₄×C₁₃	C₂×D₄	1	1	yes	characteristic
568	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
569	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
570	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
571	C₂²×C₄×C₁₃	—	2	1	no	—
572	C₂²×C₄×C₁₃	—	2	1	no	—
573	C₂²×C₄×C₁₃	—	2	1	no	—
574	C₂²×C₄×C₁₃	—	2	1	no	—
575	C₂²×C₄×C₁₃	—	2	1	no	—
576	C₂²×C₄×C₁₃	—	2	1	no	—
577	C₂²×C₄×C₁₃	—	2	1	no	—
578	C₂²×C₄×C₁₃	—	2	1	no	—
579	C₂²×C₄×C₁₃	—	2	1	no	—
580	C₂²×C₄×C₁₃	—	2	1	no	—
581	C₂²×C₄×C₁₃	—	2	1	no	—
582	C₂²×C₄×C₁₃	—	2	1	no	—
583	C₂²×C₄×C₁₃	—	2	1	no	—
584	C₂²×C₄×C₁₃	—	2	1	no	—
585	C₂²×C₄×C₁₃	—	2	1	no	—
586	C₂²×C₄×C₁₃	—	2	1	no	—
587	C₂²×C₄×C₁₃	—	2	1	no	—
588	C₂²×C₄×C₁₃	—	2	1	no	—
589	C₂²×C₄×C₁₃	—	2	1	no	—
590	C₂²×C₄×C₁₃	—	2	1	no	—
591	C₂²×C₄×C₁₃	—	4	1	no	—
592	C₂²×C₄×C₁₃	—	4	1	no	—
593	C₂²×C₄×C₁₃	—	4	4	no	—
594	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
595	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
596	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
597	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
598	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
599	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
600	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
601	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
602	C₁₃×Q₁₆	—	2	2	no	—
603	C₁₃×Q₁₆	—	2	2	no	—
604	C₁₃×Q₁₆	—	2	2	no	—
605	C₁₃×Q₁₆	—	4	1	no	—
606	C₁₃×Q₁₆	—	4	1	no	—
607	C₁₃×Q₁₆	—	4	1	no	—
608	C₁₃×Q₁₆	—	4	1	no	—
609	C₁₃×Q₁₆	—	4	1	no	—
610	C₁₃×Q₁₆	—	4	1	no	—
611	C₁₃×Q₁₆	—	4	1	no	—
612	C₁₃×Q₁₆	—	4	1	no	—
613	C₁₃×Q₁₆	—	4	1	no	—
614	C₁₃×SD₁₆	—	2	2	no	—
615	C₁₃×SD₁₆	—	2	2	no	—
616	C₁₃×SD₁₆	—	2	2	no	—
617	C₁₃×SD₁₆	—	2	2	no	—
618	C₁₃×SD₁₆	—	4	1	no	—
619	C₁₃×SD₁₆	—	4	1	no	—
620	C₁₃×SD₁₆	—	4	1	no	—
621	C₁₃×SD₁₆	—	4	1	no	—
622	C₁₃×SD₁₆	—	4	1	no	—
623	C₁₃×SD₁₆	—	4	1	no	—
624	C₁₃×D₈	—	2	2	no	—
625	C₁₃×D₈	—	4	1	no	—
626	C₁₃×M₁₆	—	4	1	no	—
627	C₁₃×M₁₆	—	4	1	no	—
628	C₁₃×M₁₆	—	4	1	no	—
629	C₁₃×M₁₆	—	4	1	no	—
630	C₁₃×M₁₆	—	4	1	no	—
631	C₁₃×M₁₆	—	4	1	no	—
632	C₂×C₈×C₁₃	—	4	1	no	—
633	C₂×C₈×C₁₃	—	4	1	no	—
634	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
635	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
636	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
637	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
638	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
639	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
640	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
641	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
642	C₁₃×C₄⋊C₄	—	2	1	no	—
643	C₁₃×C₄⋊C₄	—	2	1	no	—
644	C₁₃×C₄⋊C₄	—	2	1	no	—
645	C₁₃×C₄⋊C₄	—	2	1	no	—
646	C₁₃×C₄⋊C₄	—	2	1	no	—
647	C₁₃×C₄⋊C₄	—	2	1	no	—
648	C₁₃×C₄⋊C₄	—	2	1	no	—
649	C₁₃×C₄⋊C₄	—	2	1	no	—
650	C₁₃×C₄⋊C₄	—	2	1	no	—
651	C₁₃×C₄⋊C₄	—	2	1	no	—
652	C₁₃×C₄⋊C₄	—	2	1	no	—
653	C₁₃×C₄⋊C₄	—	2	1	no	—
654	C₁₃×C₄⋊C₄	—	2	1	no	—
655	C₁₃×C₄⋊C₄	—	2	1	no	—
656	C₁₃×C₄⋊C₄	—	2	1	no	—
657	C₁₃×C₄⋊C₄	—	2	1	no	—
658	C₁₃×C₄⋊C₄	—	2	1	no	—
659	C₁₃×C₄⋊C₄	—	2	1	no	—
660	C₁₃×C₄⋊C₄	—	2	1	no	—
661	C₁₃×C₄⋊C₄	—	2	1	no	—
662	C₁₃×C₄⋊C₄	—	2	1	no	—
663	C₁₃×C₄⋊C₄	—	2	1	no	—
664	C₁₃×C₄⋊C₄	—	2	1	no	—
665	C₁₃×C₄⋊C₄	—	2	1	no	—
666	C₁₃×C₄⋊C₄	—	2	1	no	—
667	C₁₃×C₄⋊C₄	—	2	1	no	—
668	C₁₃×C₄⋊C₄	—	2	1	no	—
669	C₁₃×C₄⋊C₄	—	2	1	no	—
670	C₁₃×C₄⋊C₄	—	2	1	no	—
671	C₁₃×C₄⋊C₄	—	2	1	no	—
672	C₁₃×C₄⋊C₄	—	2	1	no	—
673	C₁₃×C₄⋊C₄	—	2	1	no	—
674	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
675	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
676	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
677	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
678	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
679	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
680	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
681	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
682	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
683	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
684	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
685	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
686	C₁₃×C₂²⋊C₄	—	2	1	no	—
687	C₁₃×C₂²⋊C₄	—	2	1	no	—
688	C₁₃×C₂²⋊C₄	—	2	1	no	—
689	C₁₃×C₂²⋊C₄	—	2	1	no	—
690	C₁₃×C₂²⋊C₄	—	2	1	no	—
691	C₁₃×C₂²⋊C₄	—	2	1	no	—
692	C₁₃×C₂²⋊C₄	—	2	1	no	—
693	C₁₃×C₂²⋊C₄	—	2	1	no	—
694	C₁₃×C₂²⋊C₄	—	2	1	no	—
695	C₁₃×C₂²⋊C₄	—	2	1	no	—
696	C₁₃×C₂²⋊C₄	—	2	1	no	—
697	C₁₃×C₂²⋊C₄	—	2	1	no	—
698	C₁₃×C₂²⋊C₄	—	2	1	no	—
699	C₁₃×C₂²⋊C₄	—	2	1	no	—
700	C₁₃×C₂²⋊C₄	—	2	1	no	—
701	C₁₃×C₂²⋊C₄	—	2	1	no	—
702	C₁₃×C₂²⋊C₄	—	2	1	no	—
703	C₁₃×C₂²⋊C₄	—	2	1	no	—
704	C₁₃×C₂²⋊C₄	—	2	1	no	—
705	C₁₃×C₂²⋊C₄	—	2	1	no	—
706	C₁₃×C₂²⋊C₄	—	2	1	no	—
707	C₁₃×C₂²⋊C₄	—	2	1	no	—
708	C₁₃×C₂²⋊C₄	—	2	1	no	—
709	C₁₃×C₂²⋊C₄	—	2	1	no	—
710	C₁₃×C₂²⋊C₄	—	2	1	no	—
711	C₁₃×C₂²⋊C₄	—	2	1	no	—
712	C₁₃×C₂²⋊C₄	—	2	1	no	—
713	C₁₃×C₂²⋊C₄	—	2	1	no	—
714	C₁₃×C₂²⋊C₄	—	2	1	no	—
715	C₁₃×C₂²⋊C₄	—	2	1	no	—
716	C₁₃×C₂²⋊C₄	—	2	1	no	—
717	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
718	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
719	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
720	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
721	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
722	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
723	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
724	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
725	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
726	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
727	C₄²×C₁₃	—	2	1	no	—
728	C₄²×C₁₃	—	2	1	no	—
729	C₄²×C₁₃	—	2	1	no	—
730	C₄²×C₁₃	—	2	1	no	—
731	C₄²×C₁₃	—	2	1	no	—
732	C₄²×C₁₃	—	2	1	no	—
733	C₄²×C₁₃	—	2	1	no	—
734	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
735	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
736	#3541	C₂×C₁₃	1	1	yes	characteristic, complemented
737	#3489	C₂×C₁₃	1	1	yes	characteristic, complemented
738	#3331	C₂×C₁₃	1	1	yes	characteristic, complemented
739	#3328	C₂×C₁₃	1	1	yes	characteristic, complemented
740	#3326	C₂×C₁₃	1	1	yes	characteristic, complemented
741	#3323	C₂×C₁₃	1	1	yes	characteristic, complemented
742	#3316	C₂×C₁₃	1	1	yes	characteristic, complemented
743	#3312	C₂×C₁₃	1	1	yes	characteristic, complemented
744	#3311	C₂×C₁₃	1	1	yes	characteristic, complemented
745	#3307	C₂×C₁₃	1	1	yes	characteristic, complemented
746	#3277	C₂×C₁₃	1	1	yes	characteristic, complemented
747	#3276	C₂×C₁₃	1	1	yes	characteristic, complemented
748	#3276	C₂×C₁₃	1	1	yes	characteristic, complemented
749	#3275	C₂×C₁₃	1	1	yes	characteristic, complemented
750	#3270	C₂×C₁₃	1	1	yes	characteristic, complemented
751	#3270	C₂×C₁₃	1	1	yes	characteristic, complemented
752	#3269	C₂×C₁₃	1	1	yes	characteristic, complemented
753	#3267	C₂×C₁₃	1	1	yes	characteristic, complemented
754	#3225	C₂×C₁₃	1	1	yes	characteristic, complemented
755	#3223	C₂×C₁₃	1	1	yes	characteristic, complemented
756	#3204	C₂×C₁₃	1	1	yes	characteristic, complemented
757	#3201	C₂×C₁₃	1	1	yes	characteristic, complemented
758	#3196	C₂×C₁₃	1	1	yes	characteristic, complemented
759	#3195	C₂×C₁₃	1	1	yes	characteristic, complemented
760	#3125	C₂×C₁₃	1	1	yes	characteristic, complemented
761	#3120	C₂×C₁₃	1	1	yes	characteristic, complemented
762	#3013	C₂×C₁₃	1	1	yes	characteristic, complemented
763	#3011	C₂×C₁₃	1	1	yes	characteristic, complemented
764	#3007	C₂×C₁₃	1	1	yes	characteristic, complemented
765	#3005	C₂×C₁₃	1	1	yes	characteristic, complemented
766	#2978	C₂×C₁₃	1	1	yes	characteristic, complemented
767	C₂³×C₁₃	—	2	1	no	—
768	C₂³×C₁₃	—	2	1	no	—
769	C₂³×C₁₃	—	2	1	no	—
770	C₂³×C₁₃	—	4	1	no	—
771	C₂³×C₁₃	—	4	1	no	—
772	C₂³×C₁₃	—	4	1	no	—
773	C₂³×C₁₃	—	4	2	no	—
774	C₂³×C₁₃	—	4	2	no	—
775	C₂³×C₁₃	—	8	1	no	—
776	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
777	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
778	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
779	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
780	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
781	Q₈×C₁₃	—	2	1	no	—
782	Q₈×C₁₃	—	2	1	no	—
783	Q₈×C₁₃	—	2	1	no	—
784	Q₈×C₁₃	—	2	1	no	—
785	Q₈×C₁₃	—	2	1	no	—
786	Q₈×C₁₃	—	2	1	no	—
787	Q₈×C₁₃	—	2	1	no	—
788	Q₈×C₁₃	—	2	1	no	—
789	Q₈×C₁₃	—	2	1	no	—
790	Q₈×C₁₃	—	2	1	no	—
791	Q₈×C₁₃	—	2	1	no	—
792	Q₈×C₁₃	—	2	1	no	—
793	Q₈×C₁₃	—	2	1	no	—
794	Q₈×C₁₃	—	4	1	no	—
795	Q₈×C₁₃	—	4	2	no	—
796	Q₈×C₁₃	—	4	2	no	—
797	Q₈×C₁₃	—	4	2	no	—
798	Q₈×C₁₃	—	4	2	no	—
799	Q₈×C₁₃	—	8	1	no	—
800	Q₈×C₁₃	—	8	1	no	—
801	Q₈×C₁₃	—	8	1	no	—
802	Q₈×C₁₃	H(5,𝔽₂)	1	2	yes	—
803	D₄×C₁₃	—	2	4	no	—
804	D₄×C₁₃	—	2	1	no	—
805	D₄×C₁₃	—	2	1	no	—
806	D₄×C₁₃	—	2	1	no	—
807	D₄×C₁₃	—	2	1	no	—
808	D₄×C₁₃	—	2	1	no	—
809	D₄×C₁₃	—	4	1	no	—
810	D₄×C₁₃	—	4	1	no	—
811	D₄×C₁₃	—	4	1	no	—
812	D₄×C₁₃	—	4	1	no	—
813	D₄×C₁₃	—	4	1	no	—
814	D₄×C₁₃	—	4	1	no	—
815	D₄×C₁₃	—	4	1	no	—
816	D₄×C₁₃	—	4	2	no	—
817	D₄×C₁₃	—	4	2	no	—
818	D₄×C₁₃	—	4	2	no	—
819	D₄×C₁₃	—	4	2	no	—
820	D₄×C₁₃	—	4	2	no	—
821	D₄×C₁₃	—	4	2	no	—
822	D₄×C₁₃	—	4	2	no	—
823	D₄×C₁₃	—	8	1	no	—
824	D₄×C₁₃	—	8	1	no	—
825	D₄×C₁₃	—	8	1	no	—
826	D₄×C₁₃	—	8	1	no	—
827	D₄×C₁₃	—	8	1	no	—
828	D₄×C₁₃	—	8	1	no	—
829	D₄×C₁₃	H(5,𝔽₂)	1	2	yes	—
830	C₂×C₄×C₁₃	—	2	4	no	—
831	C₂×C₄×C₁₃	—	2	1	no	—
832	C₂×C₄×C₁₃	—	2	1	no	—
833	C₂×C₄×C₁₃	—	2	1	no	—
834	C₂×C₄×C₁₃	—	2	1	no	—
835	C₂×C₄×C₁₃	—	2	1	no	—
836	C₂×C₄×C₁₃	—	2	1	no	—
837	C₂×C₄×C₁₃	—	2	1	no	—
838	C₂×C₄×C₁₃	—	2	1	no	—
839	C₂×C₄×C₁₃	—	2	1	no	—
840	C₂×C₄×C₁₃	—	2	1	no	—
841	C₂×C₄×C₁₃	—	2	1	no	—
842	C₂×C₄×C₁₃	—	2	1	no	—
843	C₂×C₄×C₁₃	—	2	1	no	—
844	C₂×C₄×C₁₃	—	2	1	no	—
845	C₂×C₄×C₁₃	—	2	1	no	—
846	C₂×C₄×C₁₃	—	2	1	no	—
847	C₂×C₄×C₁₃	—	2	1	no	—
848	C₂×C₄×C₁₃	—	2	1	no	—
849	C₂×C₄×C₁₃	—	2	1	no	—
850	C₂×C₄×C₁₃	—	2	1	no	—
851	C₂×C₄×C₁₃	—	2	1	no	—
852	C₂×C₄×C₁₃	—	2	1	no	—
853	C₂×C₄×C₁₃	—	2	1	no	—
854	C₂×C₄×C₁₃	—	4	1	no	—
855	C₂×C₄×C₁₃	—	4	1	no	—
856	C₂×C₄×C₁₃	—	4	1	no	—
857	C₂×C₄×C₁₃	—	4	2	no	—
858	C₂×C₄×C₁₃	—	4	2	no	—
859	C₂×C₄×C₁₃	—	4	2	no	—
860	C₂×C₄×C₁₃	—	4	2	no	—
861	C₂×C₄×C₁₃	—	4	2	no	—
862	C₂×C₄×C₁₃	—	4	2	no	—
863	C₂×C₄×C₁₃	—	4	2	no	—
864	C₂×C₄×C₁₃	—	4	2	no	—
865	C₂×C₄×C₁₃	—	4	2	no	—
866	C₂×C₄×C₁₃	—	8	1	no	—
867	C₂×C₄×C₁₃	—	8	1	no	—
868	C₂×C₄×C₁₃	—	8	1	no	—
869	C₂×C₄×C₁₃	—	8	1	no	—
870	C₂×C₄×C₁₃	—	8	1	no	—
871	C₂×C₄×C₁₃	—	8	1	no	—
872	C₂×C₄×C₁₃	—	8	1	no	—
873	C₂×C₄×C₁₃	—	8	1	no	—
874	C₂×C₄×C₁₃	—	8	1	no	—
875	C₂×C₄×C₁₃	—	8	1	no	—
876	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
877	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
878	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
879	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
880	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
881	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
882	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
883	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
884	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
885	C₂×C₄×C₁₃	C₂⁵	1	1	yes	characteristic
886	C₈×C₁₃	—	2	1	no	—
887	C₈×C₁₃	—	2	1	no	—
888	C₈×C₁₃	—	2	1	no	—
889	C₈×C₁₃	—	2	1	no	—
890	C₈×C₁₃	—	2	1	no	—
891	C₈×C₁₃	—	2	1	no	—
892	C₈×C₁₃	—	2	1	no	—
893	C₈×C₁₃	—	2	1	no	—
894	C₂×2₋¹⁺⁴	C₂²×C₁₃	1	1	yes	characteristic
895	C₂²×#41	C₂²×C₁₃	1	1	yes	characteristic
896	C₂×#137	C₂²×C₁₃	1	1	yes	characteristic
897	C₂×#137	C₂²×C₁₃	1	1	yes	characteristic
898	C₂×#137	C₂²×C₁₃	1	1	yes	characteristic
899	C₂×#137	C₂²×C₁₃	1	1	yes	characteristic, complemented
900	C₂×#137	C₂²×C₁₃	1	1	yes	characteristic, complemented
901	C₂×AGL(1,ℤ/8)	C₂²×C₁₃	1	1	yes	characteristic
902	C₂×#135	C₂²×C₁₃	1	1	yes	characteristic, complemented
903	C₂²×Q₁₆	C₂²×C₁₃	1	1	yes	characteristic, complemented
904	#563	—	2	1	no	—
905	#562	—	2	1	no	—
906	#556	C₂²×C₁₃	1	1	yes	characteristic
907	#554	—	2	1	no	—
908	#554	C₂²×C₁₃	1	1	yes	characteristic, complemented
909	#553	—	2	1	no	—
910	#553	C₂²×C₁₃	1	1	yes	characteristic, complemented
911	#552	C₂²×C₁₃	1	1	yes	characteristic
912	D₄×Q₈	C₂²×C₁₃	1	1	yes	characteristic
913	D₄×Q₈	C₂²×C₁₃	1	1	yes	characteristic
914	D₄×Q₈	C₂²×C₁₃	1	1	yes	characteristic, complemented
915	#548	C₂²×C₁₃	1	1	yes	characteristic
916	#548	C₂²×C₁₃	1	1	yes	characteristic
917	#548	C₂²×C₁₃	1	1	yes	characteristic
918	#548	C₂²×C₁₃	1	1	yes	characteristic, complemented
919	#547	—	2	1	no	—
920	#547	—	2	1	no	—
921	#547	C₂²×C₁₃	1	1	yes	characteristic
922	#547	C₂²×C₁₃	1	1	yes	characteristic
923	#547	C₂²×C₁₃	1	1	yes	characteristic
924	#546	—	2	1	no	—
925	#546	—	2	1	no	—
926	#546	C₂²×C₁₃	1	1	yes	characteristic
927	#546	C₂²×C₁₃	1	1	yes	characteristic
928	#542	—	2	1	no	—
929	#542	C₂²×C₁₃	1	1	yes	characteristic, complemented
930	#541	C₂²×C₁₃	1	1	yes	characteristic, complemented
931	#539	—	2	1	no	—
932	#538	—	2	1	no	—
933	#538	—	2	1	no	—
934	#537	—	2	1	no	—
935	#537	C₂²×C₁₃	1	1	yes	characteristic
936	#537	C₂²×C₁₃	1	1	yes	characteristic, complemented
937	#536	—	2	1	no	—
938	#536	C₂²×C₁₃	1	1	yes	characteristic
939	#536	C₂²×C₁₃	1	1	yes	characteristic, complemented
940	#525	—	2	1	no	—
941	#525	C₂²×C₁₃	1	1	yes	characteristic
942	#525	C₂²×C₁₃	1	1	yes	characteristic
943	C₂×C₂²⋊Q₈	—	2	1	no	—
944	C₂×C₂²⋊Q₈	C₂²×C₁₃	1	1	yes	characteristic
945	C₂×C₂²⋊Q₈	C₂²×C₁₃	1	1	yes	characteristic
946	#520	C₂²×C₁₃	1	1	yes	characteristic
947	#497	C₂²×C₁₃	1	1	yes	characteristic, complemented
948	#497	C₂²×C₁₃	1	1	yes	characteristic, complemented
949	#495	C₂²×C₁₃	1	1	yes	characteristic, complemented
950	#494	C₂²×C₁₃	1	1	yes	characteristic, complemented
951	#491	C₂²×C₁₃	1	1	yes	characteristic, complemented
952	#489	C₂²×C₁₃	1	1	yes	characteristic, complemented
953	#488	C₂²×C₁₃	1	1	yes	characteristic, complemented
954	#487	C₂²×C₁₃	1	1	yes	characteristic, complemented
955	#485	C₂²×C₁₃	1	1	yes	characteristic
956	#485	C₂²×C₁₃	1	1	yes	characteristic
957	#485	C₂²×C₁₃	1	1	yes	characteristic, complemented
958	#484	C₂²×C₁₃	1	1	yes	characteristic, complemented
959	#483	C₂²×C₁₃	1	1	yes	characteristic, complemented
960	#483	C₂²×C₁₃	1	1	yes	characteristic, complemented
961	#483	C₂²×C₁₃	1	1	yes	characteristic, complemented
962	#483	C₂²×C₁₃	1	1	yes	characteristic, complemented
963	#483	C₂²×C₁₃	1	1	yes	characteristic, complemented
964	#482	C₂²×C₁₃	1	1	yes	characteristic, complemented
965	#481	C₂²×C₁₃	1	1	yes	characteristic, complemented
966	#481	C₂²×C₁₃	1	1	yes	characteristic, complemented
967	#479	C₂²×C₁₃	1	1	yes	characteristic, complemented
968	#478	C₂²×C₁₃	1	1	yes	characteristic, complemented
969	#476	C₂²×C₁₃	1	1	yes	characteristic, complemented
970	#475	C₂²×C₁₃	1	1	yes	characteristic, complemented
971	#470	C₂²×C₁₃	1	1	yes	characteristic
972	#470	C₂²×C₁₃	1	1	yes	characteristic
973	#470	C₂²×C₁₃	1	1	yes	characteristic
974	#470	C₂²×C₁₃	1	1	yes	characteristic
975	#470	C₂²×C₁₃	1	1	yes	characteristic, complemented
976	#470	C₂²×C₁₃	1	1	yes	characteristic, complemented
977	#470	C₂²×C₁₃	1	1	yes	characteristic, complemented
978	#470	C₂²×C₁₃	1	1	yes	characteristic, complemented
979	#469	C₂²×C₁₃	1	1	yes	characteristic, complemented
980	#468	C₂²×C₁₃	1	1	yes	characteristic, complemented
981	#468	C₂²×C₁₃	1	1	yes	characteristic, complemented
982	#468	C₂²×C₁₃	1	1	yes	characteristic, complemented
983	#467	C₂²×C₁₃	1	1	yes	characteristic, complemented
984	#465	C₂²×C₁₃	1	1	yes	characteristic, complemented
985	#465	C₂²×C₁₃	1	1	yes	characteristic, complemented
986	#465	C₂²×C₁₃	1	1	yes	characteristic, complemented
987	#464	C₂²×C₁₃	1	1	yes	characteristic, complemented
988	#464	C₂²×C₁₃	1	1	yes	characteristic, complemented
989	#464	C₂²×C₁₃	1	1	yes	characteristic, complemented
990	#464	C₂²×C₁₃	1	1	yes	characteristic, complemented
991	#463	C₂²×C₁₃	1	1	yes	characteristic, complemented
992	#463	C₂²×C₁₃	1	1	yes	characteristic, complemented
993	#462	C₂²×C₁₃	1	1	yes	characteristic, complemented
994	#462	C₂²×C₁₃	1	1	yes	characteristic, complemented
995	#462	C₂²×C₁₃	1	1	yes	characteristic, complemented
996	#462	C₂²×C₁₃	1	1	yes	characteristic, complemented
997	#461	C₂²×C₁₃	1	1	yes	characteristic, complemented
998	#461	C₂²×C₁₃	1	1	yes	characteristic, complemented
999	#452	C₂²×C₁₃	1	1	yes	characteristic
1000	#452	C₂²×C₁₃	1	1	yes	characteristic
1001	#452	C₂²×C₁₃	1	1	yes	characteristic
1002	#452	C₂²×C₁₃	1	1	yes	characteristic
1003	#452	C₂²×C₁₃	1	1	yes	characteristic
1004	#452	C₂²×C₁₃	1	1	yes	characteristic
1005	#452	C₂²×C₁₃	1	1	yes	characteristic
1006	#452	C₂²×C₁₃	1	1	yes	characteristic
1007	#452	C₂²×C₁₃	1	1	yes	characteristic
1008	#452	C₂²×C₁₃	1	1	yes	characteristic
1009	#452	C₂²×C₁₃	1	1	yes	characteristic, complemented
1010	#452	C₂²×C₁₃	1	1	yes	characteristic, complemented
1011	#452	C₂²×C₁₃	1	1	yes	characteristic, complemented
1012	#452	C₂²×C₁₃	1	1	yes	characteristic, complemented
1013	#451	C₂²×C₁₃	1	1	yes	characteristic
1014	#451	C₂²×C₁₃	1	1	yes	characteristic
1015	#451	C₂²×C₁₃	1	1	yes	characteristic, complemented
1016	#451	C₂²×C₁₃	1	1	yes	characteristic, complemented
1017	#451	C₂²×C₁₃	1	1	yes	characteristic, complemented
1018	#451	C₂²×C₁₃	1	1	yes	characteristic, complemented
1019	#451	C₂²×C₁₃	1	1	yes	characteristic, complemented
1020	#451	C₂²×C₁₃	1	1	yes	characteristic, complemented
1021	#451	C₂²×C₁₃	1	1	yes	characteristic, complemented
1022	#451	C₂²×C₁₃	1	1	yes	characteristic, complemented
1023	#451	C₂²×C₁₃	1	1	yes	characteristic, complemented
1024	#450	C₂²×C₁₃	1	1	yes	characteristic
1025	#450	C₂²×C₁₃	1	1	yes	characteristic
1026	#449	C₂²×C₁₃	1	1	yes	characteristic
1027	#449	C₂²×C₁₃	1	1	yes	characteristic
1028	#449	C₂²×C₁₃	1	1	yes	characteristic
1029	#449	C₂²×C₁₃	1	1	yes	characteristic
1030	#449	C₂²×C₁₃	1	1	yes	characteristic, complemented
1031	#449	C₂²×C₁₃	1	1	yes	characteristic, complemented
1032	#448	C₂²×C₁₃	1	1	yes	characteristic, complemented
1033	#448	C₂²×C₁₃	1	1	yes	characteristic, complemented
1034	#448	C₂²×C₁₃	1	1	yes	characteristic, complemented
1035	#442	C₂²×C₁₃	1	1	yes	characteristic, complemented
1036	#441	C₂²×C₁₃	1	1	yes	characteristic, complemented
1037	#441	C₂²×C₁₃	1	1	yes	characteristic, complemented
1038	#440	C₂²×C₁₃	1	1	yes	characteristic, complemented
1039	C₄×Q₁₆	C₂²×C₁₃	1	1	yes	characteristic, complemented
1040	C₄×SD₁₆	C₂²×C₁₃	1	1	yes	characteristic, complemented
1041	C₄×SD₁₆	C₂²×C₁₃	1	1	yes	characteristic, complemented
1042	C₄×SD₁₆	C₂²×C₁₃	1	1	yes	characteristic, complemented
1043	#436	C₂²×C₁₃	1	1	yes	characteristic
1044	#436	C₂²×C₁₃	1	1	yes	characteristic
1045	#436	C₂²×C₁₃	1	1	yes	characteristic, complemented
1046	#436	C₂²×C₁₃	1	1	yes	characteristic, complemented
1047	#435	C₂²×C₁₃	1	1	yes	characteristic
1048	#435	C₂²×C₁₃	1	1	yes	characteristic
1049	#435	C₂²×C₁₃	1	1	yes	characteristic, complemented
1050	#435	C₂²×C₁₃	1	1	yes	characteristic, complemented
1051	#433	C₂²×C₁₃	1	1	yes	characteristic, complemented
1052	#433	C₂²×C₁₃	1	1	yes	characteristic, complemented
1053	#419	C₂²×C₁₃	1	1	yes	characteristic
1054	#419	C₂²×C₁₃	1	1	yes	characteristic, complemented
1055	#418	C₂²×C₁₃	1	1	yes	characteristic
1056	#417	C₂²×C₁₃	1	1	yes	characteristic
1057	#417	C₂²×C₁₃	1	1	yes	characteristic
1058	#417	C₂²×C₁₃	1	1	yes	characteristic, complemented
1059	#416	C₂²×C₁₃	1	1	yes	characteristic, complemented
1060	C₂×#103	C₂²×C₁₃	1	1	yes	characteristic, complemented
1061	#408	C₂²×C₁₃	1	1	yes	characteristic, complemented
1062	#408	C₂²×C₁₃	1	1	yes	characteristic, complemented
1063	#407	C₂²×C₁₃	1	1	yes	characteristic
1064	#407	C₂²×C₁₃	1	1	yes	characteristic
1065	C₂²×C₁₃	—	2	1	no	—
1066	C₂²×C₁₃	—	2	1	no	—
1067	C₂²×C₁₃	—	2	1	no	—
1068	C₂²×C₁₃	—	2	1	no	—
1069	C₂²×C₁₃	—	2	1	no	—
1070	C₂²×C₁₃	—	2	1	no	—
1071	C₂²×C₁₃	—	2	1	no	—
1072	C₂²×C₁₃	—	2	1	no	—
1073	C₂²×C₁₃	—	2	1	no	—
1074	C₂²×C₁₃	—	2	1	no	—
1075	C₂²×C₁₃	—	2	1	no	—
1076	C₂²×C₁₃	—	2	2	no	—
1077	C₂²×C₁₃	—	2	1	no	—
1078	C₂²×C₁₃	—	2	1	no	—
1079	C₂²×C₁₃	—	2	1	no	—
1080	C₂²×C₁₃	—	2	1	no	—
1081	C₂²×C₁₃	—	4	1	no	—
1082	C₂²×C₁₃	—	4	1	no	—
1083	C₂²×C₁₃	—	4	1	no	—
1084	C₂²×C₁₃	—	4	1	no	—
1085	C₂²×C₁₃	—	4	1	no	—
1086	C₂²×C₁₃	—	4	1	no	—
1087	C₂²×C₁₃	—	4	1	no	—
1088	C₂²×C₁₃	—	4	1	no	—
1089	C₂²×C₁₃	—	8	2	no	—
1090	C₂²×C₁₃	—	8	4	no	—
1091	C₂²×C₁₃	C₂³×D₄	1	1	yes	characteristic
1092	C₄×C₁₃	—	2	1	no	—
1093	C₄×C₁₃	—	2	1	no	—
1094	C₄×C₁₃	—	2	1	no	—
1095	C₄×C₁₃	—	2	1	no	—
1096	C₄×C₁₃	—	2	1	no	—
1097	C₄×C₁₃	—	2	2	no	—
1098	C₄×C₁₃	—	2	1	no	—
1099	C₄×C₁₃	—	2	1	no	—
1100	C₄×C₁₃	—	2	1	no	—
1101	C₄×C₁₃	—	2	1	no	—
1102	C₄×C₁₃	—	4	1	no	—
1103	C₄×C₁₃	—	4	1	no	—
1104	C₄×C₁₃	—	4	1	no	—
1105	C₄×C₁₃	—	4	1	no	—
1106	C₄×C₁₃	—	4	1	no	—
1107	C₄×C₁₃	—	4	1	no	—
1108	C₄×C₁₃	—	4	1	no	—
1109	C₄×C₁₃	—	4	1	no	—
1110	C₄×C₁₃	—	4	1	no	—
1111	C₄×C₁₃	—	4	1	no	—
1112	C₄×C₁₃	—	4	1	no	—
1113	C₄×C₁₃	—	4	1	no	—
1114	C₄×C₁₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1115	C₄×C₁₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1116	2₋¹⁺⁴	—	4	2	no	—
1117	2₋¹⁺⁴	—	4	2	no	—
1118	C₂×#41	—	2	1	no	—
1119	C₂×#41	—	2	1	no	—
1120	C₂×#41	—	2	1	no	—
1121	C₂×#41	—	2	1	no	—
1122	C₂×#41	—	2	1	no	—
1123	C₂×#41	—	4	2	no	—
1124	C₂×#41	—	4	2	no	—
1125	C₂×#41	C₂³×C₁₃	1	1	yes	characteristic
1126	C₂×#41	C₂³×C₁₃	1	1	yes	characteristic
1127	C₂×#41	C₂³×C₁₃	1	1	yes	characteristic
1128	C₂×#41	C₂³×C₁₃	1	1	yes	characteristic
1129	C₂×#41	C₂³×C₁₃	1	1	yes	characteristic
1130	C₂×#41	C₂³×C₁₃	1	1	yes	characteristic
1131	C₂×#41	C₂³×C₁₃	1	1	yes	characteristic
1132	C₂×#41	C₂³×C₁₃	1	1	yes	characteristic
1133	C₂×#41	C₂³×C₁₃	1	1	yes	characteristic
1134	C₂²×Q₈	—	2	1	no	—
1135	C₂²×Q₈	C₂³×C₁₃	1	1	yes	characteristic
1136	C₂²×Q₈	C₂³×C₁₃	1	1	yes	characteristic
1137	C₂²×Q₈	C₂³×C₁₃	1	1	yes	characteristic
1138	C₂²×Q₈	C₂³×C₁₃	1	1	yes	characteristic
1139	C₂²×Q₈	C₂³×C₁₃	1	1	yes	characteristic
1140	C₂²×Q₈	C₂³×C₁₃	1	1	yes	characteristic
1141	C₂²×D₄	—	2	1	no	—
1142	C₂²×D₄	C₂³×C₁₃	1	1	yes	characteristic
1143	C₂³×C₄	—	2	1	no	—
1144	C₂³×C₄	C₂³×C₁₃	1	1	yes	characteristic
1145	#137	—	4	2	no	—
1146	#137	—	4	2	no	—
1147	#137	—	4	2	no	—
1148	#137	—	4	2	no	—
1149	#137	—	4	2	no	—
1150	AGL(1,ℤ/8)	—	4	2	no	—
1151	#135	—	4	2	no	—
1152	C₂×Q₁₆	—	4	2	no	—
1153	C₂×Q₁₆	C₂³×C₁₃	1	1	yes	characteristic
1154	C₂×Q₁₆	C₂³×C₁₃	1	1	yes	characteristic
1155	C₂×Q₁₆	C₂³×C₁₃	1	1	yes	characteristic
1156	C₂×Q₁₆	C₂³×C₁₃	1	1	yes	characteristic
1157	C₂×Q₁₆	C₂³×C₁₃	1	1	yes	characteristic
1158	C₂×Q₁₆	C₂³×C₁₃	1	1	yes	characteristic
1159	C₂×Q₁₆	C₂³×C₁₃	1	1	yes	characteristic
1160	C₂×Q₁₆	C₂³×C₁₃	1	1	yes	characteristic
1161	C₂×Q₁₆	C₂³×C₁₃	1	1	yes	characteristic
1162	C₂×Q₁₆	C₂³×C₁₃	1	1	yes	characteristic
1163	C₂×Q₁₆	C₂³×C₁₃	1	1	yes	characteristic
1164	C₂×Q₁₆	C₂³×C₁₃	1	1	yes	characteristic
1165	C₂×SD₁₆	C₂³×C₁₃	1	1	yes	characteristic
1166	C₂×SD₁₆	C₂³×C₁₃	1	1	yes	characteristic
1167	C₂×SD₁₆	C₂³×C₁₃	1	1	yes	characteristic
1168	C₂×SD₁₆	C₂³×C₁₃	1	1	yes	characteristic
1169	C₂×SD₁₆	C₂³×C₁₃	1	1	yes	characteristic
1170	C₂×SD₁₆	C₂³×C₁₃	1	1	yes	characteristic
1171	C₂×SD₁₆	C₂³×C₁₃	1	1	yes	characteristic
1172	C₂×SD₁₆	C₂³×C₁₃	1	1	yes	characteristic
1173	C₂×SD₁₆	C₂³×C₁₃	1	1	yes	characteristic
1174	C₂×SD₁₆	C₂³×C₁₃	1	1	yes	characteristic
1175	C₂×D₈	C₂³×C₁₃	1	1	yes	characteristic
1176	C₂×D₈	C₂³×C₁₃	1	1	yes	characteristic
1177	C₂×M₁₆	C₂³×C₁₃	1	1	yes	characteristic
1178	C₂×M₁₆	C₂³×C₁₃	1	1	yes	characteristic
1179	C₂×M₁₆	C₂³×C₁₃	1	1	yes	characteristic
1180	C₂×M₁₆	C₂³×C₁₃	1	1	yes	characteristic
1181	C₂×M₁₆	C₂³×C₁₃	1	1	yes	characteristic
1182	C₂×M₁₆	C₂³×C₁₃	1	1	yes	characteristic
1183	C₂²×C₈	C₂³×C₁₃	1	1	yes	characteristic
1184	C₂²×C₈	C₂³×C₁₃	1	1	yes	characteristic
1185	C₄⋊Q₈	—	2	1	no	—
1186	C₄⋊Q₈	—	2	1	no	—
1187	C₄⋊Q₈	—	2	1	no	—
1188	C₄⋊Q₈	—	2	1	no	—
1189	C₄⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
1190	C₄⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
1191	C₄⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
1192	C₄⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
1193	#126	—	2	1	no	—
1194	#126	—	2	1	no	—
1195	#126	—	2	1	no	—
1196	#126	—	2	1	no	—
1197	#126	—	2	1	no	—
1198	#126	—	2	1	no	—
1199	#126	—	2	1	no	—
1200	#125	—	2	1	no	—
1201	#125	—	2	1	no	—
1202	#125	—	2	1	no	—
1203	#125	—	2	1	no	—
1204	#125	C₂³×C₁₃	1	1	yes	characteristic
1205	#124	—	2	1	no	—
1206	#124	—	2	1	no	—
1207	#124	—	2	1	no	—
1208	#124	—	2	1	no	—
1209	#124	—	2	1	no	—
1210	#124	—	2	1	no	—
1211	#124	—	2	1	no	—
1212	#124	C₂³×C₁₃	1	1	yes	characteristic
1213	#124	C₂³×C₁₃	1	1	yes	characteristic
1214	#124	C₂³×C₁₃	1	1	yes	characteristic
1215	#123	—	2	1	no	—
1216	#123	—	2	1	no	—
1217	#123	—	2	1	no	—
1218	#123	—	2	1	no	—
1219	#123	—	2	1	no	—
1220	#123	—	2	1	no	—
1221	#123	—	2	1	no	—
1222	#123	—	2	1	no	—
1223	#123	—	2	1	no	—
1224	#123	—	2	1	no	—
1225	#123	—	2	1	no	—
1226	#123	—	2	1	no	—
1227	#123	—	2	1	no	—
1228	#123	—	2	1	no	—
1229	#123	—	2	1	no	—
1230	#123	—	2	1	no	—
1231	#123	D₄×C₁₃	1	1	yes	characteristic
1232	#123	D₄×C₁₃	1	1	yes	characteristic
1233	C₂²⋊Q₈	—	2	1	no	—
1234	C₂²⋊Q₈	—	2	1	no	—
1235	C₂²⋊Q₈	—	2	1	no	—
1236	C₂²⋊Q₈	—	2	1	no	—
1237	C₂²⋊Q₈	—	2	1	no	—
1238	C₂²⋊Q₈	—	2	1	no	—
1239	C₂²⋊Q₈	—	2	1	no	—
1240	C₂²⋊Q₈	—	2	1	no	—
1241	C₂²⋊Q₈	—	2	1	no	—
1242	C₂²⋊Q₈	—	2	1	no	—
1243	C₂²⋊Q₈	—	2	1	no	—
1244	C₂²⋊Q₈	—	2	1	no	—
1245	C₂²⋊Q₈	—	2	1	no	—
1246	C₂²⋊Q₈	—	2	1	no	—
1247	C₂²⋊Q₈	—	2	1	no	—
1248	C₂²⋊Q₈	—	2	1	no	—
1249	C₂²⋊Q₈	—	2	1	no	—
1250	C₂²⋊Q₈	—	2	1	no	—
1251	C₂²⋊Q₈	—	2	1	no	—
1252	C₂²⋊Q₈	—	2	1	no	—
1253	C₂²⋊Q₈	—	2	1	no	—
1254	C₂²⋊Q₈	D₄×C₁₃	1	1	yes	characteristic
1255	C₂²⋊Q₈	D₄×C₁₃	1	1	yes	characteristic
1256	C₂²⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
1257	C₂²⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
1258	C₂²⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
1259	C₂²⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
1260	C₂²⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
1261	C₂²⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
1262	C₂²⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
1263	C₂²⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
1264	C₂²⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
1265	C₂²⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
1266	C₂²⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
1267	C₂²⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
1268	C₂²⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
1269	C₂²⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
1270	C₂²⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
1271	#121	—	2	1	no	—
1272	#121	—	2	1	no	—
1273	#121	—	2	1	no	—
1274	#121	—	2	1	no	—
1275	#121	—	2	1	no	—
1276	#121	—	2	1	no	—
1277	#121	—	2	1	no	—
1278	#121	—	2	1	no	—
1279	#121	—	2	1	no	—
1280	#121	—	2	1	no	—
1281	#121	—	2	1	no	—
1282	#121	—	2	1	no	—
1283	#121	—	2	1	no	—
1284	#121	—	2	1	no	—
1285	#121	—	2	1	no	—
1286	#121	—	2	1	no	—
1287	#121	D₄×C₁₃	1	1	yes	characteristic
1288	#121	D₄×C₁₃	1	1	yes	characteristic
1289	#121	C₂³×C₁₃	1	1	yes	characteristic
1290	#121	C₂³×C₁₃	1	1	yes	characteristic
1291	#121	C₂³×C₁₃	1	1	yes	characteristic
1292	#121	C₂³×C₁₃	1	1	yes	characteristic
1293	#121	C₂³×C₁₃	1	1	yes	characteristic
1294	#120	—	2	1	no	—
1295	#120	—	2	1	no	—
1296	#120	—	2	1	no	—
1297	#120	D₄×C₁₃	1	1	yes	characteristic
1298	#120	D₄×C₁₃	1	1	yes	characteristic
1299	C₄×Q₈	—	2	1	no	—
1300	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
1301	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
1302	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
1303	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
1304	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
1305	C₄×D₄	—	2	1	no	—
1306	C₄×D₄	—	2	1	no	—
1307	C₄×D₄	—	2	1	no	—
1308	C₄×D₄	—	2	1	no	—
1309	C₄×D₄	—	2	1	no	—
1310	C₄×D₄	—	2	1	no	—
1311	C₄×D₄	—	2	1	no	—
1312	C₄×D₄	—	2	1	no	—
1313	C₄×D₄	—	2	1	no	—
1314	C₄×D₄	—	2	1	no	—
1315	C₄×D₄	—	2	1	no	—
1316	C₄×D₄	—	2	1	no	—
1317	C₄×D₄	—	2	1	no	—
1318	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
1319	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
1320	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
1321	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
1322	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
1323	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
1324	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
1325	#117	—	2	1	no	—
1326	#117	—	2	1	no	—
1327	#117	C₂³×C₁₃	1	1	yes	characteristic
1328	#117	C₂³×C₁₃	1	1	yes	characteristic
1329	#117	C₂³×C₁₃	1	1	yes	characteristic
1330	C₂×C₄⋊C₄	—	2	1	no	—
1331	C₂×C₄⋊C₄	—	2	1	no	—
1332	C₂×C₄⋊C₄	—	2	1	no	—
1333	C₂×C₄⋊C₄	—	2	1	no	—
1334	C₂×C₄⋊C₄	—	2	1	no	—
1335	C₂×C₄⋊C₄	—	2	1	no	—
1336	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1337	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1338	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1339	C₂×C₂²⋊C₄	—	2	1	no	—
1340	C₂×C₂²⋊C₄	—	2	1	no	—
1341	C₂×C₂²⋊C₄	—	2	1	no	—
1342	C₂×C₂²⋊C₄	—	2	1	no	—
1343	#107	C₂³×C₁₃	1	1	yes	characteristic
1344	#107	C₂³×C₁₃	1	1	yes	characteristic
1345	#106	C₂³×C₁₃	1	1	yes	characteristic
1346	#106	C₂³×C₁₃	1	1	yes	characteristic
1347	#106	C₂³×C₁₃	1	1	yes	characteristic
1348	#106	C₂³×C₁₃	1	1	yes	characteristic
1349	#106	C₂³×C₁₃	1	1	yes	characteristic
1350	#106	C₂³×C₁₃	1	1	yes	characteristic
1351	C₄⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
1352	C₄⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
1353	C₄⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
1354	C₄⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
1355	#103	C₂³×C₁₃	1	1	yes	characteristic
1356	#103	C₂³×C₁₃	1	1	yes	characteristic
1357	#103	C₂³×C₁₃	1	1	yes	characteristic
1358	#103	C₂³×C₁₃	1	1	yes	characteristic
1359	#103	C₂³×C₁₃	1	1	yes	characteristic
1360	#103	C₂³×C₁₃	1	1	yes	characteristic
1361	#103	C₂³×C₁₃	1	1	yes	characteristic
1362	#103	C₂³×C₁₃	1	1	yes	characteristic
1363	#103	C₂³×C₁₃	1	1	yes	characteristic
1364	#103	C₂³×C₁₃	1	1	yes	characteristic
1365	#103	C₂³×C₁₃	1	1	yes	characteristic
1366	#103	C₂³×C₁₃	1	1	yes	characteristic
1367	#103	C₂³×C₁₃	1	1	yes	characteristic
1368	#103	C₂³×C₁₃	1	1	yes	characteristic
1369	#103	C₂³×C₁₃	1	1	yes	characteristic
1370	#103	C₂³×C₁₃	1	1	yes	characteristic
1371	#103	C₂³×C₁₃	1	1	yes	characteristic
1372	#103	C₂³×C₁₃	1	1	yes	characteristic
1373	#103	C₂³×C₁₃	1	1	yes	characteristic
1374	#103	C₂³×C₁₃	1	1	yes	characteristic
1375	#103	C₂³×C₁₃	1	1	yes	characteristic
1376	#103	C₂³×C₁₃	1	1	yes	characteristic
1377	#102	C₂³×C₁₃	1	1	yes	characteristic
1378	#102	C₂³×C₁₃	1	1	yes	characteristic
1379	#102	C₂³×C₁₃	1	1	yes	characteristic
1380	#102	C₂³×C₁₃	1	1	yes	characteristic
1381	#102	C₂³×C₁₃	1	1	yes	characteristic
1382	#102	C₂³×C₁₃	1	1	yes	characteristic
1383	#102	C₂³×C₁₃	1	1	yes	characteristic
1384	#102	C₂³×C₁₃	1	1	yes	characteristic
1385	#102	C₂³×C₁₃	1	1	yes	characteristic
1386	#102	C₂³×C₁₃	1	1	yes	characteristic
1387	C₂²⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
1388	C₂²⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
1389	C₂²⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
1390	C₂²⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
1391	C₂²⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
1392	C₂²⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
1393	C₂²⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
1394	C₂²⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
1395	C₂²⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
1396	C₂²⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
1397	C₂²⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
1398	C₂²⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
1399	#97	C₂³×C₁₃	1	1	yes	characteristic
1400	#97	C₂³×C₁₃	1	1	yes	characteristic
1401	C₄×C₈	C₂³×C₁₃	1	1	yes	characteristic
1402	C₄×C₈	C₂³×C₁₃	1	1	yes	characteristic
1403	C₂×C₁₃	—	4	1	no	—
1404	C₂×C₁₃	—	4	1	no	—
1405	C₂×C₁₃	—	4	1	no	—
1406	C₂×C₁₃	—	4	1	no	—
1407	C₂×C₁₃	—	4	1	no	—
1408	C₂×C₁₃	—	4	2	no	—
1409	C₂×C₁₃	—	8	1	no	—
1410	C₂×C₁₃	—	8	1	no	—
1411	C₂×C₁₃	#3484	1	1	yes	characteristic
1412	C₂×C₁₃	#3586	1	1	yes	characteristic
1413	C₂×C₁₃	#3586	1	1	yes	characteristic
1414	C₂⁴	—	2	1	no	—
1415	C₂⁴	C₂×D₄×C₁₃	1	1	yes	characteristic
1416	#41	—	2	2	no	—
1417	#41	—	2	2	no	—
1418	#41	—	2	2	no	—
1419	#41	—	2	2	no	—
1420	#41	—	2	2	no	—
1421	#41	—	2	2	no	—
1422	#41	—	4	1	no	—
1423	#41	—	4	1	no	—
1424	#41	—	4	1	no	—
1425	#41	—	4	1	no	—
1426	#41	—	4	1	no	—
1427	#41	—	4	1	no	—
1428	#41	—	4	1	no	—
1429	#41	—	4	1	no	—
1430	#41	—	4	4	no	—
1431	#41	—	4	4	no	—
1432	#41	—	4	1	no	—
1433	#41	—	4	1	no	—
1434	#41	—	4	1	no	—
1435	#41	—	4	1	no	—
1436	#41	—	4	4	no	—
1437	#41	—	4	4	no	—
1438	#41	—	4	4	no	—
1439	C₂×Q₈	—	2	1	no	—
1440	C₂×Q₈	—	2	1	no	—
1441	C₂×Q₈	—	2	1	no	—
1442	C₂×Q₈	—	2	1	no	—
1443	C₂×Q₈	—	2	1	no	—
1444	C₂×Q₈	—	2	1	no	—
1445	C₂×Q₈	—	2	1	no	—
1446	C₂×Q₈	—	2	2	no	—
1447	C₂×Q₈	—	2	2	no	—
1448	C₂×Q₈	—	2	2	no	—
1449	C₂×Q₈	—	4	1	no	—
1450	C₂×Q₈	—	4	1	no	—
1451	C₂×Q₈	—	4	1	no	—
1452	C₂×Q₈	—	4	1	no	—
1453	C₂×Q₈	—	4	1	no	—
1454	C₂×Q₈	—	4	4	no	—
1455	C₂×Q₈	—	4	1	no	—
1456	C₂×Q₈	—	4	1	no	—
1457	C₂×Q₈	—	4	1	no	—
1458	C₂×Q₈	—	4	1	no	—
1459	C₂×Q₈	C₂×D₄×C₁₃	1	1	yes	characteristic
1460	C₂×Q₈	C₂⁴×C₁₃	1	1	yes	characteristic
1461	C₂×Q₈	C₂⁴×C₁₃	1	1	yes	characteristic
1462	C₂×Q₈	C₂⁴×C₁₃	1	1	yes	characteristic
1463	C₂×Q₈	C₂⁴×C₁₃	1	1	yes	characteristic
1464	C₂×Q₈	C₂⁴×C₁₃	1	1	yes	characteristic
1465	C₂×Q₈	C₂⁴×C₁₃	1	1	yes	characteristic
1466	C₂×Q₈	C₂⁴×C₁₃	1	1	yes	characteristic
1467	C₂×D₄	—	2	1	no	—
1468	C₂×D₄	—	2	2	no	—
1469	C₂×D₄	—	2	1	no	—
1470	C₂×D₄	—	2	1	no	—
1471	C₂×D₄	—	2	1	no	—
1472	C₂×D₄	—	2	1	no	—
1473	C₂×D₄	—	2	1	no	—
1474	C₂×D₄	—	2	1	no	—
1475	C₂×D₄	—	2	1	no	—
1476	C₂×D₄	—	2	1	no	—
1477	C₂×D₄	—	2	1	no	—
1478	C₂×D₄	—	2	1	no	—
1479	C₂×D₄	—	2	1	no	—
1480	C₂×D₄	—	2	1	no	—
1481	C₂×D₄	—	2	1	no	—
1482	C₂×D₄	—	4	1	no	—
1483	C₂×D₄	—	4	4	no	—
1484	C₂×D₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1485	C₂×D₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1486	C₂×D₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1487	C₂×D₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1488	C₂×D₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1489	C₂×D₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1490	C₂×D₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1491	C₂×D₄	C₂⁴×C₁₃	1	1	yes	characteristic
1492	C₂×D₄	C₂⁴×C₁₃	1	1	yes	characteristic
1493	C₂×D₄	C₂⁴×C₁₃	1	1	yes	characteristic
1494	C₂²×C₄	—	2	1	no	—
1495	C₂²×C₄	—	2	1	no	—
1496	C₂²×C₄	—	2	1	no	—
1497	C₂²×C₄	—	2	1	no	—
1498	C₂²×C₄	—	2	1	no	—
1499	C₂²×C₄	—	2	1	no	—
1500	C₂²×C₄	—	2	1	no	—
1501	C₂²×C₄	—	2	1	no	—
1502	C₂²×C₄	—	2	1	no	—
1503	C₂²×C₄	—	2	1	no	—
1504	C₂²×C₄	—	2	1	no	—
1505	C₂²×C₄	—	2	1	no	—
1506	C₂²×C₄	—	2	1	no	—
1507	C₂²×C₄	—	2	1	no	—
1508	C₂²×C₄	—	2	1	no	—
1509	C₂²×C₄	—	2	1	no	—
1510	C₂²×C₄	—	2	1	no	—
1511	C₂²×C₄	—	2	1	no	—
1512	C₂²×C₄	—	2	1	no	—
1513	C₂²×C₄	—	2	1	no	—
1514	C₂²×C₄	—	4	1	no	—
1515	C₂²×C₄	—	4	1	no	—
1516	C₂²×C₄	—	4	4	no	—
1517	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1518	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1519	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1520	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1521	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1522	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1523	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1524	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1525	Q₁₆	—	2	2	no	—
1526	Q₁₆	—	2	2	no	—
1527	Q₁₆	—	2	2	no	—
1528	Q₁₆	—	4	1	no	—
1529	Q₁₆	—	4	1	no	—
1530	Q₁₆	—	4	1	no	—
1531	Q₁₆	—	4	1	no	—
1532	Q₁₆	—	4	1	no	—
1533	Q₁₆	—	4	1	no	—
1534	Q₁₆	—	4	1	no	—
1535	Q₁₆	—	4	1	no	—
1536	Q₁₆	—	4	1	no	—
1537	SD₁₆	—	2	2	no	—
1538	SD₁₆	—	2	2	no	—
1539	SD₁₆	—	2	2	no	—
1540	SD₁₆	—	2	2	no	—
1541	SD₁₆	—	4	1	no	—
1542	SD₁₆	—	4	1	no	—
1543	SD₁₆	—	4	1	no	—
1544	SD₁₆	—	4	1	no	—
1545	SD₁₆	—	4	1	no	—
1546	SD₁₆	—	4	1	no	—
1547	D₈	—	2	2	no	—
1548	D₈	—	4	1	no	—
1549	M₁₆	—	4	1	no	—
1550	M₁₆	—	4	1	no	—
1551	M₁₆	—	4	1	no	—
1552	M₁₆	—	4	1	no	—
1553	M₁₆	—	4	1	no	—
1554	M₁₆	—	4	1	no	—
1555	C₂×C₈	—	4	1	no	—
1556	C₂×C₈	—	4	1	no	—
1557	C₂×C₈	C₂⁴×C₁₃	1	1	yes	characteristic
1558	C₂×C₈	C₂⁴×C₁₃	1	1	yes	characteristic
1559	C₂×C₈	C₂⁴×C₁₃	1	1	yes	characteristic
1560	C₂×C₈	C₂⁴×C₁₃	1	1	yes	characteristic
1561	C₂×C₈	C₂⁴×C₁₃	1	1	yes	characteristic
1562	C₂×C₈	C₂⁴×C₁₃	1	1	yes	characteristic
1563	C₂×C₈	C₂⁴×C₁₃	1	1	yes	characteristic
1564	C₂×C₈	C₂⁴×C₁₃	1	1	yes	characteristic
1565	C₄⋊C₄	—	2	1	no	—
1566	C₄⋊C₄	—	2	1	no	—
1567	C₄⋊C₄	—	2	1	no	—
1568	C₄⋊C₄	—	2	1	no	—
1569	C₄⋊C₄	—	2	1	no	—
1570	C₄⋊C₄	—	2	1	no	—
1571	C₄⋊C₄	—	2	1	no	—
1572	C₄⋊C₄	—	2	1	no	—
1573	C₄⋊C₄	—	2	1	no	—
1574	C₄⋊C₄	—	2	1	no	—
1575	C₄⋊C₄	—	2	1	no	—
1576	C₄⋊C₄	—	2	1	no	—
1577	C₄⋊C₄	—	2	1	no	—
1578	C₄⋊C₄	—	2	1	no	—
1579	C₄⋊C₄	—	2	1	no	—
1580	C₄⋊C₄	—	2	1	no	—
1581	C₄⋊C₄	—	2	1	no	—
1582	C₄⋊C₄	—	2	1	no	—
1583	C₄⋊C₄	—	2	1	no	—
1584	C₄⋊C₄	—	2	1	no	—
1585	C₄⋊C₄	—	2	1	no	—
1586	C₄⋊C₄	—	2	1	no	—
1587	C₄⋊C₄	—	2	1	no	—
1588	C₄⋊C₄	—	2	1	no	—
1589	C₄⋊C₄	—	2	1	no	—
1590	C₄⋊C₄	—	2	1	no	—
1591	C₄⋊C₄	—	2	1	no	—
1592	C₄⋊C₄	—	2	1	no	—
1593	C₄⋊C₄	—	2	1	no	—
1594	C₄⋊C₄	—	2	1	no	—
1595	C₄⋊C₄	—	2	1	no	—
1596	C₄⋊C₄	—	2	1	no	—
1597	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1598	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1599	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1600	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1601	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1602	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1603	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1604	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1605	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1606	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1607	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1608	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1609	C₂²⋊C₄	—	2	1	no	—
1610	C₂²⋊C₄	—	2	1	no	—
1611	C₂²⋊C₄	—	2	1	no	—
1612	C₂²⋊C₄	—	2	1	no	—
1613	C₂²⋊C₄	—	2	1	no	—
1614	C₂²⋊C₄	—	2	1	no	—
1615	C₂²⋊C₄	—	2	1	no	—
1616	C₂²⋊C₄	—	2	1	no	—
1617	C₂²⋊C₄	—	2	1	no	—
1618	C₂²⋊C₄	—	2	1	no	—
1619	C₂²⋊C₄	—	2	1	no	—
1620	C₂²⋊C₄	—	2	1	no	—
1621	C₂²⋊C₄	—	2	1	no	—
1622	C₂²⋊C₄	—	2	1	no	—
1623	C₂²⋊C₄	—	2	1	no	—
1624	C₂²⋊C₄	—	2	1	no	—
1625	C₂²⋊C₄	—	2	1	no	—
1626	C₂²⋊C₄	—	2	1	no	—
1627	C₂²⋊C₄	—	2	1	no	—
1628	C₂²⋊C₄	—	2	1	no	—
1629	C₂²⋊C₄	—	2	1	no	—
1630	C₂²⋊C₄	—	2	1	no	—
1631	C₂²⋊C₄	—	2	1	no	—
1632	C₂²⋊C₄	—	2	1	no	—
1633	C₂²⋊C₄	—	2	1	no	—
1634	C₂²⋊C₄	—	2	1	no	—
1635	C₂²⋊C₄	—	2	1	no	—
1636	C₂²⋊C₄	—	2	1	no	—
1637	C₂²⋊C₄	—	2	1	no	—
1638	C₂²⋊C₄	—	2	1	no	—
1639	C₂²⋊C₄	—	2	1	no	—
1640	C₂²⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1641	C₂²⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1642	C₂²⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1643	C₂²⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1644	C₂²⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1645	C₂²⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1646	C₂²⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1647	C₂²⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1648	C₂²⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1649	C₂²⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1650	C₄²	—	2	1	no	—
1651	C₄²	—	2	1	no	—
1652	C₄²	—	2	1	no	—
1653	C₄²	—	2	1	no	—
1654	C₄²	—	2	1	no	—
1655	C₄²	—	2	1	no	—
1656	C₄²	—	2	1	no	—
1657	C₄²	C₂⁴×C₁₃	1	1	yes	characteristic
1658	C₄²	C₂⁴×C₁₃	1	1	yes	characteristic
1659	C₁₃	#61655	1	1	yes	characteristic, direct product factor, Sylow
1660	C₂³	—	2	1	no	—
1661	C₂³	—	2	1	no	—
1662	C₂³	—	2	1	no	—
1663	C₂³	—	4	1	no	—
1664	C₂³	—	4	1	no	—
1665	C₂³	—	4	1	no	—
1666	C₂³	—	4	2	no	—
1667	C₂³	—	4	2	no	—
1668	C₂³	—	8	1	no	—
1669	C₂³	C₂²×D₄×C₁₃	1	1	yes	characteristic
1670	C₂³	C₂²×D₄×C₁₃	1	1	yes	characteristic
1671	C₂³	C₂²×D₄×C₁₃	1	1	yes	characteristic
1672	C₂³	C₂²×D₄×C₁₃	1	1	yes	characteristic
1673	C₂³	C₂²×D₄×C₁₃	1	1	yes	characteristic
1674	Q₈	—	2	1	no	—
1675	Q₈	—	2	1	no	—
1676	Q₈	—	2	1	no	—
1677	Q₈	—	2	1	no	—
1678	Q₈	—	2	1	no	—
1679	Q₈	—	2	1	no	—
1680	Q₈	—	2	1	no	—
1681	Q₈	—	2	1	no	—
1682	Q₈	—	2	1	no	—
1683	Q₈	—	2	1	no	—
1684	Q₈	—	2	1	no	—
1685	Q₈	—	2	1	no	—
1686	Q₈	—	2	1	no	—
1687	Q₈	—	4	1	no	—
1688	Q₈	—	4	2	no	—
1689	Q₈	—	4	2	no	—
1690	Q₈	—	4	2	no	—
1691	Q₈	—	4	2	no	—
1692	Q₈	—	8	1	no	—
1693	Q₈	—	8	1	no	—
1694	Q₈	—	8	1	no	—
1695	Q₈	C₁₃×H(5,𝔽₂)	1	2	yes	—
1696	D₄	—	2	4	no	—
1697	D₄	—	2	1	no	—
1698	D₄	—	2	1	no	—
1699	D₄	—	2	1	no	—
1700	D₄	—	2	1	no	—
1701	D₄	—	2	1	no	—
1702	D₄	—	4	1	no	—
1703	D₄	—	4	1	no	—
1704	D₄	—	4	1	no	—
1705	D₄	—	4	1	no	—
1706	D₄	—	4	1	no	—
1707	D₄	—	4	1	no	—
1708	D₄	—	4	1	no	—
1709	D₄	—	4	2	no	—
1710	D₄	—	4	2	no	—
1711	D₄	—	4	2	no	—
1712	D₄	—	4	2	no	—
1713	D₄	—	4	2	no	—
1714	D₄	—	4	2	no	—
1715	D₄	—	4	2	no	—
1716	D₄	—	8	1	no	—
1717	D₄	—	8	1	no	—
1718	D₄	—	8	1	no	—
1719	D₄	—	8	1	no	—
1720	D₄	—	8	1	no	—
1721	D₄	—	8	1	no	—
1722	D₄	C₁₃×H(5,𝔽₂)	1	2	yes	—
1723	C₂×C₄	—	2	4	no	—
1724	C₂×C₄	—	2	1	no	—
1725	C₂×C₄	—	2	1	no	—
1726	C₂×C₄	—	2	1	no	—
1727	C₂×C₄	—	2	1	no	—
1728	C₂×C₄	—	2	1	no	—
1729	C₂×C₄	—	2	1	no	—
1730	C₂×C₄	—	2	1	no	—
1731	C₂×C₄	—	2	1	no	—
1732	C₂×C₄	—	2	1	no	—
1733	C₂×C₄	—	2	1	no	—
1734	C₂×C₄	—	2	1	no	—
1735	C₂×C₄	—	2	1	no	—
1736	C₂×C₄	—	2	1	no	—
1737	C₂×C₄	—	2	1	no	—
1738	C₂×C₄	—	2	1	no	—
1739	C₂×C₄	—	2	1	no	—
1740	C₂×C₄	—	2	1	no	—
1741	C₂×C₄	—	2	1	no	—
1742	C₂×C₄	—	2	1	no	—
1743	C₂×C₄	—	2	1	no	—
1744	C₂×C₄	—	2	1	no	—
1745	C₂×C₄	—	2	1	no	—
1746	C₂×C₄	—	2	1	no	—
1747	C₂×C₄	—	4	1	no	—
1748	C₂×C₄	—	4	1	no	—
1749	C₂×C₄	—	4	1	no	—
1750	C₂×C₄	—	4	2	no	—
1751	C₂×C₄	—	4	2	no	—
1752	C₂×C₄	—	4	2	no	—
1753	C₂×C₄	—	4	2	no	—
1754	C₂×C₄	—	4	2	no	—
1755	C₂×C₄	—	4	2	no	—
1756	C₂×C₄	—	4	2	no	—
1757	C₂×C₄	—	4	2	no	—
1758	C₂×C₄	—	4	2	no	—
1759	C₂×C₄	—	8	1	no	—
1760	C₂×C₄	—	8	1	no	—
1761	C₂×C₄	—	8	1	no	—
1762	C₂×C₄	—	8	1	no	—
1763	C₂×C₄	—	8	1	no	—
1764	C₂×C₄	—	8	1	no	—
1765	C₂×C₄	—	8	1	no	—
1766	C₂×C₄	—	8	1	no	—
1767	C₂×C₄	—	8	1	no	—
1768	C₂×C₄	—	8	1	no	—
1769	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1770	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1771	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1772	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1773	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1774	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1775	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1776	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1777	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1778	C₂×C₄	C₂⁵×C₁₃	1	1	yes	characteristic
1779	C₈	—	2	1	no	—
1780	C₈	—	2	1	no	—
1781	C₈	—	2	1	no	—
1782	C₈	—	2	1	no	—
1783	C₈	—	2	1	no	—
1784	C₈	—	2	1	no	—
1785	C₈	—	2	1	no	—
1786	C₈	—	2	1	no	—
1787	C₂²	—	2	1	no	—
1788	C₂²	—	2	1	no	—
1789	C₂²	—	2	1	no	—
1790	C₂²	—	2	1	no	—
1791	C₂²	—	2	1	no	—
1792	C₂²	—	2	1	no	—
1793	C₂²	—	2	1	no	—
1794	C₂²	—	2	1	no	—
1795	C₂²	—	2	1	no	—
1796	C₂²	—	2	1	no	—
1797	C₂²	—	2	1	no	—
1798	C₂²	—	2	2	no	—
1799	C₂²	—	2	1	no	—
1800	C₂²	—	2	1	no	—
1801	C₂²	—	2	1	no	—
1802	C₂²	—	2	1	no	—
1803	C₂²	—	4	1	no	—
1804	C₂²	—	4	1	no	—
1805	C₂²	—	4	1	no	—
1806	C₂²	—	4	1	no	—
1807	C₂²	—	4	1	no	—
1808	C₂²	—	4	1	no	—
1809	C₂²	—	4	1	no	—
1810	C₂²	—	4	1	no	—
1811	C₂²	—	8	2	no	—
1812	C₂²	—	8	4	no	—
1813	C₂²	C₂³×D₄×C₁₃	1	1	yes	characteristic
1814	C₄	—	2	1	no	—
1815	C₄	—	2	1	no	—
1816	C₄	—	2	1	no	—
1817	C₄	—	2	1	no	—
1818	C₄	—	2	1	no	—
1819	C₄	—	2	2	no	—
1820	C₄	—	2	1	no	—
1821	C₄	—	2	1	no	—
1822	C₄	—	2	1	no	—
1823	C₄	—	2	1	no	—
1824	C₄	—	4	1	no	—
1825	C₄	—	4	1	no	—
1826	C₄	—	4	1	no	—
1827	C₄	—	4	1	no	—
1828	C₄	—	4	1	no	—
1829	C₄	—	4	1	no	—
1830	C₄	—	4	1	no	—
1831	C₄	—	4	1	no	—
1832	C₄	—	4	1	no	—
1833	C₄	—	4	1	no	—
1834	C₄	—	4	1	no	—
1835	C₄	—	4	1	no	—
1836	C₄	C₂×C₁₃×H(5,𝔽₂)	1	1	yes	characteristic
1837	C₄	C₂×C₁₃×H(5,𝔽₂)	1	1	yes	characteristic
1838	C₂	—	4	1	no	—
1839	C₂	—	4	1	no	—
1840	C₂	—	4	1	no	—
1841	C₂	—	4	1	no	—
1842	C₂	—	4	1	no	—
1843	C₂	—	4	2	no	—
1844	C₂	—	8	1	no	—
1845	C₂	—	8	1	no	—
1846	C₂	C₁₃×#3484	1	1	yes	characteristic
1847	C₂	C₁₃×#3586	1	1	yes	characteristic
1848	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. C₁₃×#3541	C₂	semidirect
2. C₁₃×#3489	C₂	semidirect
3. C₁₃×#3331	C₂	semidirect
4. C₁₃×#3328	C₂	semidirect
5. C₁₃×#3326	C₂	semidirect
6. C₁₃×#3323	C₂	semidirect
7. C₁₃×#3316	C₂	semidirect
8. C₁₃×#3312	C₂	semidirect
9. C₁₃×#3311	C₂	semidirect
10. C₁₃×#3307	C₂	semidirect
11. C₁₃×#3277	C₂	semidirect
12. C₁₃×#3276	C₂	semidirect
13. C₁₃×#3276	C₂	semidirect
14. C₁₃×#3275	C₂	semidirect
15. C₁₃×#3270	C₂	semidirect
16. C₁₃×#3270	C₂	semidirect
17. C₁₃×#3269	C₂	semidirect
18. C₁₃×#3267	C₂	semidirect
19. C₁₃×#3225	C₂	semidirect
20. C₁₃×#3223	C₂	semidirect
21. C₁₃×#3204	C₂	semidirect
22. C₁₃×#3201	C₂	semidirect
23. C₁₃×#3196	C₂	semidirect
24. C₁₃×#3195	C₂	semidirect
25. C₁₃×#3125	C₂	semidirect
26. C₁₃×#3120	C₂	semidirect
27. C₁₃×#3013	C₂	semidirect
28. C₁₃×#3011	C₂	semidirect
29. C₁₃×#3007	C₂	semidirect
30. C₁₃×#3005	C₂	semidirect
31. C₁₃×#2978	C₂	semidirect
37. C₂×C₁₃×#137	C₂²	semidirect
38. C₂×C₁₃×#137	C₂²	semidirect
40. C₂×C₁₃×#135	C₂²	semidirect
41. C₂²×C₁₃×Q₁₆	C₂²	semidirect
46. C₁₃×#554	C₂²	semidirect
48. C₁₃×#553	C₂²	semidirect
52. D₄×Q₈×C₁₃	C₂²	semidirect
56. C₁₃×#548	C₂²	semidirect
67. C₁₃×#542	C₂²	semidirect
68. C₁₃×#541	C₂²	semidirect
74. C₁₃×#537	C₂²	semidirect
77. C₁₃×#536	C₂²	semidirect
85. C₁₃×#497	C₂²	semidirect
86. C₁₃×#497	C₂²	semidirect
87. C₁₃×#495	C₂²	semidirect
88. C₁₃×#494	C₂²	semidirect
89. C₁₃×#491	C₂²	semidirect
90. C₁₃×#489	C₂²	semidirect
91. C₁₃×#488	C₂²	semidirect
92. C₁₃×#487	C₂²	semidirect
95. C₁₃×#485	C₂²	semidirect
96. C₁₃×#484	C₂²	semidirect
97. C₁₃×#483	C₂²	semidirect
98. C₁₃×#483	C₂²	semidirect
99. C₁₃×#483	C₂²	semidirect
100. C₁₃×#483	C₂²	semidirect
101. C₁₃×#483	C₂²	semidirect
102. C₁₃×#482	C₂²	semidirect
103. C₁₃×#481	C₂²	semidirect
104. C₁₃×#481	C₂²	semidirect
105. C₁₃×#479	C₂²	semidirect
106. C₁₃×#478	C₂²	semidirect
107. C₁₃×#476	C₂²	semidirect
108. C₁₃×#475	C₂²	semidirect
113. C₁₃×#470	C₂²	semidirect
114. C₁₃×#470	C₂²	semidirect
115. C₁₃×#470	C₂²	semidirect
116. C₁₃×#470	C₂²	semidirect
117. C₁₃×#469	C₂²	semidirect
118. C₁₃×#468	C₂²	semidirect
119. C₁₃×#468	C₂²	semidirect
120. C₁₃×#468	C₂²	semidirect
121. C₁₃×#467	C₂²	semidirect
122. C₁₃×#465	C₂²	semidirect
123. C₁₃×#465	C₂²	semidirect
124. C₁₃×#465	C₂²	semidirect
125. C₁₃×#464	C₂²	semidirect
126. C₁₃×#464	C₂²	semidirect
127. C₁₃×#464	C₂²	semidirect
128. C₁₃×#464	C₂²	semidirect
129. C₁₃×#463	C₂²	semidirect
130. C₁₃×#463	C₂²	semidirect
131. C₁₃×#462	C₂²	semidirect
132. C₁₃×#462	C₂²	semidirect
133. C₁₃×#462	C₂²	semidirect
134. C₁₃×#462	C₂²	semidirect
135. C₁₃×#461	C₂²	semidirect
136. C₁₃×#461	C₂²	semidirect
147. C₁₃×#452	C₂²	semidirect
148. C₁₃×#452	C₂²	semidirect
149. C₁₃×#452	C₂²	semidirect
150. C₁₃×#452	C₂²	semidirect
153. C₁₃×#451	C₂²	semidirect
154. C₁₃×#451	C₂²	semidirect
155. C₁₃×#451	C₂²	semidirect
156. C₁₃×#451	C₂²	semidirect
157. C₁₃×#451	C₂²	semidirect
158. C₁₃×#451	C₂²	semidirect
159. C₁₃×#451	C₂²	semidirect
160. C₁₃×#451	C₂²	semidirect
161. C₁₃×#451	C₂²	semidirect
168. C₁₃×#449	C₂²	semidirect
169. C₁₃×#449	C₂²	semidirect
170. C₁₃×#448	C₂²	semidirect
171. C₁₃×#448	C₂²	semidirect
172. C₁₃×#448	C₂²	semidirect
173. C₁₃×#442	C₂²	semidirect
174. C₁₃×#441	C₂²	semidirect
175. C₁₃×#441	C₂²	semidirect
176. C₁₃×#440	C₂²	semidirect
177. C₄×C₁₃×Q₁₆	C₂²	semidirect
178. C₄×C₁₃×SD₁₆	C₂²	semidirect
179. C₄×C₁₃×SD₁₆	C₂²	semidirect
180. C₄×C₁₃×SD₁₆	C₂²	semidirect
183. C₁₃×#436	C₂²	semidirect
184. C₁₃×#436	C₂²	semidirect
187. C₁₃×#435	C₂²	semidirect
188. C₁₃×#435	C₂²	semidirect
189. C₁₃×#433	C₂²	semidirect
190. C₁₃×#433	C₂²	semidirect
192. C₁₃×#419	C₂²	semidirect
196. C₁₃×#417	C₂²	semidirect
197. C₁₃×#416	C₂²	semidirect
198. C₂×C₁₃×#103	C₂²	semidirect
199. C₁₃×#408	C₂²	semidirect
200. C₁₃×#408	C₂²	semidirect
490. #61655	C₁₃	direct (N × H)
736. #3541	C₂×C₁₃	semidirect
737. #3489	C₂×C₁₃	semidirect
738. #3331	C₂×C₁₃	semidirect
739. #3328	C₂×C₁₃	semidirect
740. #3326	C₂×C₁₃	semidirect
741. #3323	C₂×C₁₃	semidirect
742. #3316	C₂×C₁₃	semidirect
743. #3312	C₂×C₁₃	semidirect
744. #3311	C₂×C₁₃	semidirect
745. #3307	C₂×C₁₃	semidirect
746. #3277	C₂×C₁₃	semidirect
747. #3276	C₂×C₁₃	semidirect
748. #3276	C₂×C₁₃	semidirect
749. #3275	C₂×C₁₃	semidirect
750. #3270	C₂×C₁₃	semidirect
751. #3270	C₂×C₁₃	semidirect
752. #3269	C₂×C₁₃	semidirect
753. #3267	C₂×C₁₃	semidirect
754. #3225	C₂×C₁₃	semidirect
755. #3223	C₂×C₁₃	semidirect
756. #3204	C₂×C₁₃	semidirect
757. #3201	C₂×C₁₃	semidirect
758. #3196	C₂×C₁₃	semidirect
759. #3195	C₂×C₁₃	semidirect
760. #3125	C₂×C₁₃	semidirect
761. #3120	C₂×C₁₃	semidirect
762. #3013	C₂×C₁₃	semidirect
763. #3011	C₂×C₁₃	semidirect
764. #3007	C₂×C₁₃	semidirect
765. #3005	C₂×C₁₃	semidirect
766. #2978	C₂×C₁₃	semidirect
899. C₂×#137	C₂²×C₁₃	semidirect
900. C₂×#137	C₂²×C₁₃	semidirect
902. C₂×#135	C₂²×C₁₃	semidirect
903. C₂²×Q₁₆	C₂²×C₁₃	semidirect
908. #554	C₂²×C₁₃	semidirect
910. #553	C₂²×C₁₃	semidirect
914. D₄×Q₈	C₂²×C₁₃	semidirect
918. #548	C₂²×C₁₃	semidirect
929. #542	C₂²×C₁₃	semidirect
930. #541	C₂²×C₁₃	semidirect
936. #537	C₂²×C₁₃	semidirect
939. #536	C₂²×C₁₃	semidirect
947. #497	C₂²×C₁₃	semidirect
948. #497	C₂²×C₁₃	semidirect
949. #495	C₂²×C₁₃	semidirect
950. #494	C₂²×C₁₃	semidirect
951. #491	C₂²×C₁₃	semidirect
952. #489	C₂²×C₁₃	semidirect
953. #488	C₂²×C₁₃	semidirect
954. #487	C₂²×C₁₃	semidirect
957. #485	C₂²×C₁₃	semidirect
958. #484	C₂²×C₁₃	semidirect
959. #483	C₂²×C₁₃	semidirect
960. #483	C₂²×C₁₃	semidirect
961. #483	C₂²×C₁₃	semidirect
962. #483	C₂²×C₁₃	semidirect
963. #483	C₂²×C₁₃	semidirect
964. #482	C₂²×C₁₃	semidirect
965. #481	C₂²×C₁₃	semidirect
966. #481	C₂²×C₁₃	semidirect
967. #479	C₂²×C₁₃	semidirect
968. #478	C₂²×C₁₃	semidirect
969. #476	C₂²×C₁₃	semidirect
970. #475	C₂²×C₁₃	semidirect
975. #470	C₂²×C₁₃	semidirect
976. #470	C₂²×C₁₃	semidirect
977. #470	C₂²×C₁₃	semidirect
978. #470	C₂²×C₁₃	semidirect
979. #469	C₂²×C₁₃	semidirect
980. #468	C₂²×C₁₃	semidirect
981. #468	C₂²×C₁₃	semidirect
982. #468	C₂²×C₁₃	semidirect
983. #467	C₂²×C₁₃	semidirect
984. #465	C₂²×C₁₃	semidirect
985. #465	C₂²×C₁₃	semidirect
986. #465	C₂²×C₁₃	semidirect
987. #464	C₂²×C₁₃	semidirect
988. #464	C₂²×C₁₃	semidirect
989. #464	C₂²×C₁₃	semidirect
990. #464	C₂²×C₁₃	semidirect
991. #463	C₂²×C₁₃	semidirect
992. #463	C₂²×C₁₃	semidirect
993. #462	C₂²×C₁₃	semidirect
994. #462	C₂²×C₁₃	semidirect
995. #462	C₂²×C₁₃	semidirect
996. #462	C₂²×C₁₃	semidirect
997. #461	C₂²×C₁₃	semidirect
998. #461	C₂²×C₁₃	semidirect
1009. #452	C₂²×C₁₃	semidirect
1010. #452	C₂²×C₁₃	semidirect
1011. #452	C₂²×C₁₃	semidirect
1012. #452	C₂²×C₁₃	semidirect
1015. #451	C₂²×C₁₃	semidirect
1016. #451	C₂²×C₁₃	semidirect
1017. #451	C₂²×C₁₃	semidirect
1018. #451	C₂²×C₁₃	semidirect
1019. #451	C₂²×C₁₃	semidirect
1020. #451	C₂²×C₁₃	semidirect
1021. #451	C₂²×C₁₃	semidirect
1022. #451	C₂²×C₁₃	semidirect
1023. #451	C₂²×C₁₃	semidirect
1030. #449	C₂²×C₁₃	semidirect
1031. #449	C₂²×C₁₃	semidirect
1032. #448	C₂²×C₁₃	semidirect
1033. #448	C₂²×C₁₃	semidirect
1034. #448	C₂²×C₁₃	semidirect
1035. #442	C₂²×C₁₃	semidirect
1036. #441	C₂²×C₁₃	semidirect
1037. #441	C₂²×C₁₃	semidirect
1038. #440	C₂²×C₁₃	semidirect
1039. C₄×Q₁₆	C₂²×C₁₃	semidirect
1040. C₄×SD₁₆	C₂²×C₁₃	semidirect
1041. C₄×SD₁₆	C₂²×C₁₃	semidirect
1042. C₄×SD₁₆	C₂²×C₁₃	semidirect
1045. #436	C₂²×C₁₃	semidirect
1046. #436	C₂²×C₁₃	semidirect
1049. #435	C₂²×C₁₃	semidirect
1050. #435	C₂²×C₁₃	semidirect
1051. #433	C₂²×C₁₃	semidirect
1052. #433	C₂²×C₁₃	semidirect
1054. #419	C₂²×C₁₃	semidirect
1058. #417	C₂²×C₁₃	semidirect
1059. #416	C₂²×C₁₃	semidirect
1060. C₂×#103	C₂²×C₁₃	semidirect
1061. #408	C₂²×C₁₃	semidirect
1062. #408	C₂²×C₁₃	semidirect
1659. C₁₃	#61655	direct (N × H)

Maximal subgroups

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

subgroup	index
C₁₃×#3541	2
C₁₃×#3489	2
C₁₃×#3331	2
C₁₃×#3328	2
C₁₃×#3326	2
C₁₃×#3323	2
C₁₃×#3316	2
C₁₃×#3312	2
C₁₃×#3311	2
C₁₃×#3307	2
C₁₃×#3277	2
C₁₃×#3276	2
C₁₃×#3275	2
C₁₃×#3270	2
C₁₃×#3269	2
C₁₃×#3267	2
C₁₃×#3225	2
C₁₃×#3223	2
C₁₃×#3204	2
C₁₃×#3201	2
C₁₃×#3196	2
C₁₃×#3195	2
C₁₃×#3125	2
C₁₃×#3120	2
C₁₃×#3013	2
C₁₃×#3011	2
C₁₃×#3007	2
C₁₃×#3005	2
C₁₃×#2978	2
#61655	13

Subgroups — C13×#61655 #15747994

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₃×#61655 #15747994