Subgroups — C₁₃×#61004 #15747343

Order 3328.

1732 conjugacy classes of subgroups.

The subgroup lattice has 1698 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₁₃×#3495	C₂	1	1	yes	maximal, characteristic, complemented
2	C₁₃×#3494	C₂	1	1	yes	maximal, characteristic, complemented
3	C₁₃×#3256	C₂	1	1	yes	maximal, characteristic, complemented
4	C₁₃×#3254	C₂	1	1	yes	maximal, characteristic, complemented
5	C₁₃×#3252	C₂	1	1	yes	maximal, characteristic, complemented
6	C₁₃×#3251	C₂	1	1	yes	maximal, characteristic, complemented
7	C₁₃×#3243	C₂	1	1	yes	maximal, characteristic, complemented
8	C₁₃×#3243	C₂	1	1	yes	maximal, characteristic, complemented
9	C₁₃×#3242	C₂	1	1	yes	maximal, characteristic, complemented
10	C₁₃×#3241	C₂	1	1	yes	maximal, characteristic, complemented
11	C₁₃×#3225	C₂	1	1	yes	maximal, characteristic, complemented
12	C₁₃×#3224	C₂	1	1	yes	maximal, characteristic, complemented
13	C₁₃×#3222	C₂	1	1	yes	maximal, characteristic, complemented
14	C₁₃×#3221	C₂	1	1	yes	maximal, characteristic, complemented
15	C₁₃×#3197	C₂	1	1	yes	maximal, characteristic, complemented
16	C₁₃×#3196	C₂	1	1	yes	maximal, characteristic, complemented
17	C₁₃×#3194	C₂	1	1	yes	maximal, characteristic, complemented
18	C₁₃×#3193	C₂	1	1	yes	maximal, characteristic, complemented
19	C₁₃×#3183	C₂	1	1	yes	maximal, characteristic, complemented
20	C₁₃×#3182	C₂	1	1	yes	maximal, characteristic, complemented
21	C₁₃×#3172	C₂	1	1	yes	maximal, characteristic, complemented
22	C₁₃×#3171	C₂	1	1	yes	maximal, characteristic, complemented
23	C₁₃×#3126	C₂	1	1	yes	maximal, characteristic, complemented
24	C₁₃×#3124	C₂	1	1	yes	maximal, characteristic, complemented
25	C₁₃×#3124	C₂	1	1	yes	maximal, characteristic, complemented
26	C₁₃×#3123	C₂	1	1	yes	maximal, characteristic, complemented
27	C₁₃×#3121	C₂	1	1	yes	maximal, characteristic, complemented
28	C₁₃×#3120	C₂	1	1	yes	maximal, characteristic, complemented
29	C₁₃×#3119	C₂	1	1	yes	maximal, characteristic, complemented
30	C₁₃×#3118	C₂	1	1	yes	maximal, characteristic, complemented
31	C₁₃×#2921	C₂	1	1	yes	maximal, characteristic, complemented
32	C₁₃×#556	—	2	1	no	—
33	C₁₃×#555	—	2	1	no	—
34	C₁₃×#554	—	2	1	no	—
35	C₁₃×#553	—	2	1	no	—
36	C₁₃×#553	—	2	1	no	—
37	C₁₃×#552	—	2	1	no	—
38	C₁₃×#552	—	2	1	no	—
39	C₁₃×#552	—	2	1	no	—
40	C₁₃×#552	—	2	1	no	—
41	C₁₃×#551	—	2	1	no	—
42	C₁₃×#551	—	2	1	no	—
43	C₁₃×#551	—	2	1	no	—
44	C₁₃×#551	—	2	1	no	—
45	C₁₃×#547	—	2	1	no	—
46	C₁₃×#546	—	2	1	no	—
47	C₁₃×#546	—	2	1	no	—
48	C₁₃×#544	C₂²	1	1	yes	characteristic
49	C₁₃×#544	C₂²	1	1	yes	characteristic, complemented
50	C₁₃×#542	C₂²	1	1	yes	characteristic
51	C₁₃×#542	C₂²	1	1	yes	characteristic
52	C₁₃×#542	C₂²	1	1	yes	characteristic
53	C₁₃×#542	C₂²	1	1	yes	characteristic
54	C₁₃×#541	C₂²	1	1	yes	characteristic
55	C₁₃×#541	C₂²	1	1	yes	characteristic
56	C₁₃×#540	C₂²	1	1	yes	characteristic
57	C₁₃×#540	C₂²	1	1	yes	characteristic
58	C₁₃×#536	C₂²	1	1	yes	characteristic, complemented
59	C₁₃×#535	C₂²	1	1	yes	characteristic
60	C₁₃×#533	C₂²	1	1	yes	characteristic, complemented
61	C₁₃×#533	C₂²	1	1	yes	characteristic, complemented
62	C₁₃×#532	C₂²	1	1	yes	characteristic
63	C₁₃×#532	C₂²	1	1	yes	characteristic
64	C₁₃×#529	C₂²	1	1	yes	characteristic
65	C₁₃×#529	C₂²	1	1	yes	characteristic
66	C₁₃×#529	C₂²	1	1	yes	characteristic, complemented
67	C₁₃×#529	C₂²	1	1	yes	characteristic, complemented
68	C₁₃×#525	C₂²	1	1	yes	characteristic
69	C₁₃×#525	C₂²	1	1	yes	characteristic
70	C₂×C₁₃×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
71	C₂×C₁₃×#121	C₂²	1	1	yes	characteristic
72	C₁₃×#520	C₂²	1	1	yes	characteristic
73	C₁₃×#520	C₂²	1	1	yes	characteristic, complemented
74	C₁₃×#519	C₂²	1	1	yes	characteristic, complemented
75	C₁₃×#518	C₂²	1	1	yes	characteristic
76	C₂×C₁₃×#117	C₂²	1	1	yes	characteristic
77	C₁₃×#501	C₂²	1	1	yes	characteristic, complemented
78	C₁₃×#501	C₂²	1	1	yes	characteristic, complemented
79	C₁₃×#500	C₂²	1	1	yes	characteristic, complemented
80	C₁₃×#499	C₂²	1	1	yes	characteristic, complemented
81	C₁₃×#497	C₂²	1	1	yes	characteristic, complemented
82	C₁₃×#496	C₂²	1	1	yes	characteristic, complemented
83	C₁₃×#495	C₂²	1	1	yes	characteristic, complemented
84	C₁₃×#492	C₂²	1	1	yes	characteristic, complemented
85	C₁₃×#491	C₂²	1	1	yes	characteristic, complemented
86	C₁₃×#490	C₂²	1	1	yes	characteristic, complemented
87	C₁₃×#489	C₂²	1	1	yes	characteristic, complemented
88	C₁₃×#489	C₂²	1	1	yes	characteristic, complemented
89	C₁₃×#488	C₂²	1	1	yes	characteristic, complemented
90	C₁₃×#488	C₂²	1	1	yes	characteristic, complemented
91	C₁₃×#487	C₂²	1	1	yes	characteristic, complemented
92	C₁₃×#486	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
96	C₁₃×#485	C₂²	1	1	yes	characteristic, complemented
97	C₁₃×#484	C₂²	1	1	yes	characteristic
98	C₁₃×#484	C₂²	1	1	yes	characteristic
99	C₁₃×#484	C₂²	1	1	yes	characteristic, complemented
100	C₁₃×#483	C₂²	1	1	yes	characteristic
101	C₁₃×#482	C₂²	1	1	yes	characteristic
102	C₁₃×#482	C₂²	1	1	yes	characteristic
103	C₁₃×#482	C₂²	1	1	yes	characteristic
104	C₁₃×#482	C₂²	1	1	yes	characteristic, complemented
105	C₁₃×#481	C₂²	1	1	yes	characteristic, complemented
106	C₁₃×#480	C₂²	1	1	yes	characteristic
107	C₁₃×#480	C₂²	1	1	yes	characteristic
108	C₁₃×#480	C₂²	1	1	yes	characteristic
109	C₁₃×#479	C₂²	1	1	yes	characteristic, complemented
110	C₁₃×#479	C₂²	1	1	yes	characteristic, complemented
111	C₁₃×#479	C₂²	1	1	yes	characteristic, complemented
112	C₁₃×#479	C₂²	1	1	yes	characteristic, complemented
113	C₁₃×#478	C₂²	1	1	yes	characteristic, complemented
114	C₁₃×#478	C₂²	1	1	yes	characteristic, complemented
115	C₁₃×#478	C₂²	1	1	yes	characteristic, complemented
116	C₁₃×#478	C₂²	1	1	yes	characteristic, complemented
117	C₁₃×#477	C₂²	1	1	yes	characteristic, complemented
118	C₁₃×#477	C₂²	1	1	yes	characteristic, complemented
119	C₁₃×#477	C₂²	1	1	yes	characteristic, complemented
120	C₁₃×#476	C₂²	1	1	yes	characteristic, complemented
121	C₁₃×#475	C₂²	1	1	yes	characteristic, complemented
122	C₁₃×#474	C₂²	1	1	yes	characteristic, complemented
123	C₁₃×#474	C₂²	1	1	yes	characteristic, complemented
124	C₁₃×#474	C₂²	1	1	yes	characteristic, complemented
125	C₁₃×#470	C₂²	1	1	yes	characteristic, complemented
126	C₁₃×#470	C₂²	1	1	yes	characteristic, complemented
127	C₁₃×#470	C₂²	1	1	yes	characteristic, complemented
128	C₁₃×#469	C₂²	1	1	yes	characteristic
129	C₁₃×#469	C₂²	1	1	yes	characteristic
130	C₁₃×#469	C₂²	1	1	yes	characteristic, complemented
131	C₁₃×#468	C₂²	1	1	yes	characteristic
132	C₁₃×#468	C₂²	1	1	yes	characteristic
133	C₁₃×#468	C₂²	1	1	yes	characteristic
134	C₁₃×#468	C₂²	1	1	yes	characteristic
135	C₁₃×#468	C₂²	1	1	yes	characteristic
136	C₁₃×#468	C₂²	1	1	yes	characteristic
137	C₁₃×#468	C₂²	1	1	yes	characteristic, complemented
138	C₁₃×#468	C₂²	1	1	yes	characteristic, complemented
139	C₁₃×#468	C₂²	1	1	yes	characteristic, complemented
140	C₁₃×#468	C₂²	1	1	yes	characteristic, complemented
141	C₁₃×#464	C₂²	1	1	yes	characteristic, complemented
142	C₁₃×#464	C₂²	1	1	yes	characteristic, complemented
143	C₁₃×#464	C₂²	1	1	yes	characteristic, complemented
144	C₁₃×#464	C₂²	1	1	yes	characteristic, complemented
145	C₁₃×#463	C₂²	1	1	yes	characteristic, complemented
146	C₁₃×#463	C₂²	1	1	yes	characteristic, complemented
147	C₁₃×#463	C₂²	1	1	yes	characteristic, complemented
148	C₁₃×#463	C₂²	1	1	yes	characteristic, complemented
149	C₁₃×#462	C₂²	1	1	yes	characteristic, complemented
150	C₁₃×#461	C₂²	1	1	yes	characteristic, complemented
151	C₁₃×#461	C₂²	1	1	yes	characteristic, complemented
152	C₁₃×#461	C₂²	1	1	yes	characteristic, complemented
153	C₁₃×#460	C₂²	1	1	yes	characteristic, complemented
154	C₁₃×#460	C₂²	1	1	yes	characteristic, complemented
155	C₁₃×#460	C₂²	1	1	yes	characteristic, complemented
156	C₁₃×#459	C₂²	1	1	yes	characteristic, complemented
157	C₁₃×#452	C₂²	1	1	yes	characteristic
158	C₁₃×#452	C₂²	1	1	yes	characteristic
159	C₁₃×#452	C₂²	1	1	yes	characteristic
160	C₁₃×#452	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×#450	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×#448	C₂²	1	1	yes	characteristic
170	C₁₃×#448	C₂²	1	1	yes	characteristic
171	C₁₃×#448	C₂²	1	1	yes	characteristic, complemented
172	C₁₃×#447	C₂²	1	1	yes	characteristic
173	C₁₃×#442	C₂²	1	1	yes	characteristic, complemented
174	C₁₃×#441	C₂²	1	1	yes	characteristic, complemented
175	C₁₃×#440	C₂²	1	1	yes	characteristic, complemented
176	C₁₃×#440	C₂²	1	1	yes	characteristic, complemented
177	C₁₃×#440	C₂²	1	1	yes	characteristic, complemented
178	C₁₃×#440	C₂²	1	1	yes	characteristic, complemented
179	C₁₃×#440	C₂²	1	1	yes	characteristic, complemented
180	C₁₃×#440	C₂²	1	1	yes	characteristic, complemented
181	C₄×C₁₃×Q₁₆	C₂²	1	1	yes	characteristic, complemented
182	C₄×C₁₃×Q₁₆	C₂²	1	1	yes	characteristic, complemented
183	C₄×C₁₃×SD₁₆	C₂²	1	1	yes	characteristic, complemented
184	C₄×C₁₃×SD₁₆	C₂²	1	1	yes	characteristic, complemented
185	C₄×C₁₃×SD₁₆	C₂²	1	1	yes	characteristic, complemented
186	C₄×C₁₃×SD₁₆	C₂²	1	1	yes	characteristic, complemented
187	C₄×C₁₃×D₈	C₂²	1	1	yes	characteristic, complemented
188	C₄×C₁₃×D₈	C₂²	1	1	yes	characteristic, complemented
189	C₁₃×#433	C₂²	1	1	yes	characteristic
190	C₁₃×#433	C₂²	1	1	yes	characteristic
191	C₁₃×#433	C₂²	1	1	yes	characteristic
192	C₁₃×#433	C₂²	1	1	yes	characteristic
193	C₁₃×#433	C₂²	1	1	yes	characteristic, complemented
194	C₁₃×#433	C₂²	1	1	yes	characteristic, complemented
195	C₁₃×#433	C₂²	1	1	yes	characteristic, complemented
196	C₁₃×#433	C₂²	1	1	yes	characteristic, complemented
197	C₁₃×#423	C₂²	1	1	yes	characteristic, complemented
198	C₁₃×#423	C₂²	1	1	yes	characteristic, complemented
199	C₁₃×#407	C₂²	1	1	yes	characteristic
200	C₁₃×#407	C₂²	1	1	yes	characteristic
201	C₄×C₁₃×M₁₆	C₂²	1	1	yes	characteristic, complemented
202	C₄×C₁₃×M₁₆	C₂²	1	1	yes	characteristic, complemented
203	C₂×C₁₃×#41	—	2	1	no	—
204	C₂×C₁₃×#41	—	2	1	no	—
205	C₂×C₁₃×#41	C₂³	1	1	yes	characteristic
206	C₂×C₁₃×#41	C₂³	1	1	yes	characteristic
207	C₂²×Q₈×C₁₃	C₂³	1	1	yes	characteristic
208	C₂²×D₄×C₁₃	—	2	1	no	—
209	C₂²×D₄×C₁₃	C₂³	1	1	yes	characteristic
210	C₂³×C₄×C₁₃	C₂³	1	1	yes	characteristic
211	C₂×C₁₃×Q₁₆	C₂³	1	1	yes	characteristic
212	C₂×C₁₃×Q₁₆	C₂³	1	1	yes	characteristic
213	C₂×C₁₃×Q₁₆	C₂³	1	1	yes	characteristic
214	C₂×C₁₃×SD₁₆	C₂³	1	1	yes	characteristic
215	C₂×C₁₃×SD₁₆	C₂³	1	1	yes	characteristic
216	C₂×C₁₃×SD₁₆	C₂³	1	1	yes	characteristic
217	C₂×C₁₃×SD₁₆	C₂³	1	1	yes	characteristic
218	C₂×C₁₃×SD₁₆	C₂³	1	1	yes	characteristic
219	C₂×C₁₃×SD₁₆	C₂³	1	1	yes	characteristic
220	C₂×C₁₃×SD₁₆	C₂³	1	1	yes	characteristic
221	C₂×C₁₃×SD₁₆	C₂³	1	1	yes	characteristic
222	C₂×C₁₃×SD₁₆	C₂³	1	1	yes	characteristic
223	C₂×C₁₃×SD₁₆	C₂³	1	1	yes	characteristic
224	C₂×C₁₃×D₈	C₂³	1	1	yes	characteristic
225	C₂×C₁₃×D₈	C₂³	1	1	yes	characteristic
226	C₂×C₁₃×D₈	C₂³	1	1	yes	characteristic
227	C₂×C₁₃×M₁₆	C₂³	1	1	yes	characteristic
228	C₂×C₁₃×M₁₆	C₂³	1	1	yes	characteristic
229	C₂×C₁₃×M₁₆	C₂³	1	1	yes	characteristic
230	C₂×C₁₃×M₁₆	C₂³	1	1	yes	characteristic
231	C₁₃×C₄⋊Q₈	—	2	1	no	—
232	C₁₃×C₄⋊Q₈	—	2	1	no	—
233	C₁₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
234	C₁₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
235	C₁₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
236	C₁₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
237	C₁₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
238	C₁₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
239	C₁₃×#127	C₂³	1	1	yes	characteristic
240	C₁₃×#127	C₂³	1	1	yes	characteristic
241	C₁₃×#126	—	2	1	no	—
242	C₁₃×#126	—	2	1	no	—
243	C₁₃×#126	—	2	1	no	—
244	C₁₃×#126	—	2	1	no	—
245	C₁₃×#126	—	2	1	no	—
246	C₁₃×#126	—	2	1	no	—
247	C₁₃×#126	—	2	1	no	—
248	C₁₃×#126	—	2	1	no	—
249	C₁₃×#126	—	2	1	no	—
250	C₁₃×#126	—	2	1	no	—
251	C₁₃×#126	—	2	1	no	—
252	C₁₃×#126	—	2	1	no	—
253	C₁₃×#125	—	2	1	no	—
254	C₁₃×#125	—	2	1	no	—
255	C₁₃×#125	—	2	1	no	—
256	C₁₃×#125	—	2	1	no	—
257	C₁₃×#125	—	2	1	no	—
258	C₁₃×#125	—	2	1	no	—
259	C₁₃×#125	—	2	1	no	—
260	C₁₃×#125	—	2	1	no	—
261	C₁₃×#125	C₂³	1	1	yes	characteristic
262	C₁₃×#125	C₂³	1	1	yes	characteristic
263	C₁₃×#125	C₂³	1	1	yes	characteristic
264	C₁₃×#125	C₂³	1	1	yes	characteristic
265	C₁₃×#124	—	2	1	no	—
266	C₁₃×#124	—	2	1	no	—
267	C₁₃×#124	—	2	1	no	—
268	C₁₃×#124	—	2	1	no	—
269	C₁₃×#124	—	2	1	no	—
270	C₁₃×#124	—	2	1	no	—
271	C₁₃×#124	C₂³	1	1	yes	characteristic
272	C₁₃×#124	C₂³	1	1	yes	characteristic
273	C₁₃×#124	C₂³	1	1	yes	characteristic
274	C₁₃×#124	C₂³	1	1	yes	characteristic
275	C₁₃×#123	—	2	1	no	—
276	C₁₃×#123	—	2	1	no	—
277	C₁₃×#123	—	2	1	no	—
278	C₁₃×#123	—	2	1	no	—
279	C₁₃×#123	—	2	1	no	—
280	C₁₃×#123	—	2	1	no	—
281	C₁₃×#123	—	2	1	no	—
282	C₁₃×#123	—	2	1	no	—
283	C₁₃×#123	—	2	1	no	—
284	C₁₃×#123	—	2	1	no	—
285	C₁₃×#123	—	2	1	no	—
286	C₁₃×#123	—	2	1	no	—
287	C₁₃×#123	—	2	1	no	—
288	C₁₃×#123	—	2	1	no	—
289	C₁₃×#123	—	2	1	no	—
290	C₁₃×#123	—	2	1	no	—
291	C₁₃×C₂²⋊Q₈	—	2	1	no	—
292	C₁₃×C₂²⋊Q₈	—	2	1	no	—
293	C₁₃×C₂²⋊Q₈	—	2	1	no	—
294	C₁₃×C₂²⋊Q₈	—	2	1	no	—
295	C₁₃×C₂²⋊Q₈	—	2	1	no	—
296	C₁₃×C₂²⋊Q₈	—	2	1	no	—
297	C₁₃×C₂²⋊Q₈	—	2	1	no	—
298	C₁₃×C₂²⋊Q₈	—	2	1	no	—
299	C₁₃×C₂²⋊Q₈	—	2	1	no	—
300	C₁₃×C₂²⋊Q₈	—	2	1	no	—
301	C₁₃×C₂²⋊Q₈	—	2	1	no	—
302	C₁₃×C₂²⋊Q₈	—	2	1	no	—
303	C₁₃×C₂²⋊Q₈	—	2	1	no	—
304	C₁₃×C₂²⋊Q₈	—	2	1	no	—
305	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
306	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
307	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
308	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
309	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
310	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
311	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
312	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
313	C₁₃×#121	—	2	1	no	—
314	C₁₃×#121	—	2	1	no	—
315	C₁₃×#121	—	2	1	no	—
316	C₁₃×#121	—	2	1	no	—
317	C₁₃×#121	—	2	1	no	—
318	C₁₃×#121	—	2	1	no	—
319	C₁₃×#121	—	2	1	no	—
320	C₁₃×#121	—	2	1	no	—
321	C₁₃×#121	—	2	1	no	—
322	C₁₃×#121	—	2	1	no	—
323	C₁₃×#121	C₂³	1	1	yes	characteristic
324	C₁₃×#121	C₂³	1	1	yes	characteristic
325	C₁₃×#121	C₂³	1	1	yes	characteristic
326	C₁₃×#121	C₂³	1	1	yes	characteristic
327	C₁₃×#121	C₂³	1	1	yes	characteristic
328	C₁₃×#121	C₂³	1	1	yes	characteristic
329	C₁₃×#121	C₂³	1	1	yes	characteristic
330	C₁₃×#121	C₂³	1	1	yes	characteristic
331	C₁₃×#120	—	2	1	no	—
332	C₁₃×#120	—	2	1	no	—
333	C₁₃×#120	—	2	1	no	—
334	C₁₃×#120	—	2	1	no	—
335	C₄×Q₈×C₁₃	—	2	1	no	—
336	C₄×Q₈×C₁₃	—	2	1	no	—
337	C₄×Q₈×C₁₃	—	2	1	no	—
338	C₄×Q₈×C₁₃	—	2	1	no	—
339	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
340	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
341	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
342	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
343	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
344	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
345	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
346	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
347	C₄×D₄×C₁₃	—	2	1	no	—
348	C₄×D₄×C₁₃	—	2	1	no	—
349	C₄×D₄×C₁₃	—	2	1	no	—
350	C₄×D₄×C₁₃	—	2	1	no	—
351	C₄×D₄×C₁₃	—	2	1	no	—
352	C₄×D₄×C₁₃	—	2	1	no	—
353	C₄×D₄×C₁₃	—	2	1	no	—
354	C₄×D₄×C₁₃	—	2	1	no	—
355	C₄×D₄×C₁₃	—	2	1	no	—
356	C₄×D₄×C₁₃	—	2	1	no	—
357	C₄×D₄×C₁₃	—	2	1	no	—
358	C₄×D₄×C₁₃	—	2	1	no	—
359	C₄×D₄×C₁₃	—	2	1	no	—
360	C₄×D₄×C₁₃	—	2	1	no	—
361	C₄×D₄×C₁₃	—	2	1	no	—
362	C₄×D₄×C₁₃	—	2	1	no	—
363	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
364	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
365	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
366	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
367	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
368	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
369	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
370	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
371	C₁₃×#117	—	2	1	no	—
372	C₁₃×#117	—	2	1	no	—
373	C₁₃×#117	—	2	1	no	—
374	C₁₃×#117	—	2	1	no	—
375	C₁₃×#117	—	2	1	no	—
376	C₁₃×#117	—	2	1	no	—
377	C₁₃×#117	—	2	1	no	—
378	C₁₃×#117	—	2	1	no	—
379	C₁₃×#117	—	2	1	no	—
380	C₁₃×#117	—	2	1	no	—
381	C₁₃×#117	D₄	1	1	yes	characteristic
382	C₁₃×#117	D₄	1	1	yes	characteristic
383	C₁₃×#117	D₄	1	1	yes	characteristic
384	C₁₃×#117	D₄	1	1	yes	characteristic
385	C₁₃×#117	C₂³	1	1	yes	characteristic
386	C₁₃×#117	C₂³	1	1	yes	characteristic
387	C₁₃×#117	C₂³	1	1	yes	characteristic
388	C₁₃×#117	C₂³	1	1	yes	characteristic
389	C₁₃×#117	C₂³	1	1	yes	characteristic
390	C₁₃×#117	C₂³	1	1	yes	characteristic
391	C₂×C₁₃×C₄⋊C₄	—	2	1	no	—
392	C₂×C₁₃×C₄⋊C₄	—	2	1	no	—
393	C₂×C₁₃×C₄⋊C₄	—	2	1	no	—
394	C₂×C₁₃×C₄⋊C₄	D₄	1	1	yes	characteristic
395	C₂×C₁₃×C₄⋊C₄	D₄	1	1	yes	characteristic
396	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
397	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
398	C₂×C₁₃×C₂²⋊C₄	—	2	1	no	—
399	C₂×C₁₃×C₂²⋊C₄	—	2	1	no	—
400	C₂×C₁₃×C₂²⋊C₄	—	2	1	no	—
401	C₂×C₁₃×C₂²⋊C₄	—	2	1	no	—
402	C₂×C₁₃×C₂²⋊C₄	D₄	1	1	yes	characteristic
403	C₂×C₁₃×C₂²⋊C₄	D₄	1	1	yes	characteristic
404	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
405	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
406	C₁₃×#107	C₂³	1	1	yes	characteristic
407	C₁₃×#107	C₂³	1	1	yes	characteristic
408	C₁₃×#107	C₂³	1	1	yes	characteristic
409	C₁₃×#107	C₂³	1	1	yes	characteristic
410	C₁₃×#107	C₂³	1	1	yes	characteristic
411	C₁₃×#107	C₂³	1	1	yes	characteristic
412	C₁₃×#107	C₂³	1	1	yes	characteristic
413	C₁₃×#107	C₂³	1	1	yes	characteristic
414	C₁₃×#107	C₂³	1	1	yes	characteristic
415	C₁₃×#107	C₂³	1	1	yes	characteristic
416	C₁₃×#106	C₂³	1	1	yes	characteristic
417	C₁₃×#106	C₂³	1	1	yes	characteristic
418	C₁₃×#106	C₂³	1	1	yes	characteristic
419	C₁₃×#106	C₂³	1	1	yes	characteristic
420	C₁₃×#106	C₂³	1	1	yes	characteristic
421	C₁₃×#106	C₂³	1	1	yes	characteristic
422	C₁₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
423	C₁₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
424	C₁₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
425	C₁₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
426	C₁₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
427	C₁₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
428	C₁₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
429	C₁₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
430	C₁₃×#103	C₂³	1	1	yes	characteristic
431	C₁₃×#103	C₂³	1	1	yes	characteristic
432	C₁₃×#103	C₂³	1	1	yes	characteristic
433	C₁₃×#103	C₂³	1	1	yes	characteristic
434	C₁₃×#103	C₂³	1	1	yes	characteristic
435	C₁₃×#103	C₂³	1	1	yes	characteristic
436	C₁₃×#103	C₂³	1	1	yes	characteristic
437	C₁₃×#103	C₂³	1	1	yes	characteristic
438	C₁₃×#103	C₂³	1	1	yes	characteristic
439	C₁₃×#103	C₂³	1	1	yes	characteristic
440	C₁₃×#103	C₂³	1	1	yes	characteristic
441	C₁₃×#103	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×#102	C₂³	1	1	yes	characteristic
447	C₁₃×#102	C₂³	1	1	yes	characteristic
448	C₁₃×#102	C₂³	1	1	yes	characteristic
449	C₁₃×#102	C₂³	1	1	yes	characteristic
450	C₁₃×#102	C₂³	1	1	yes	characteristic
451	C₁₃×#102	C₂³	1	1	yes	characteristic
452	C₁₃×#102	C₂³	1	1	yes	characteristic
453	C₁₃×#102	C₂³	1	1	yes	characteristic
454	C₁₃×#102	C₂³	1	1	yes	characteristic
455	C₁₃×#102	C₂³	1	1	yes	characteristic
456	C₁₃×#102	C₂³	1	1	yes	characteristic
457	C₁₃×#102	C₂³	1	1	yes	characteristic
458	C₁₃×#102	C₂³	1	1	yes	characteristic
459	C₁₃×#102	C₂³	1	1	yes	characteristic
460	C₁₃×#102	C₂³	1	1	yes	characteristic
461	C₁₃×#102	C₂³	1	1	yes	characteristic
462	C₁₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
463	C₁₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
464	C₁₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
465	C₁₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
466	C₁₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
467	C₁₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
468	C₁₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
469	C₁₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
470	C₁₃×#97	C₂³	1	1	yes	characteristic
471	C₁₃×#97	C₂³	1	1	yes	characteristic
472	C₁₃×#97	C₂³	1	1	yes	characteristic
473	C₁₃×#97	C₂³	1	1	yes	characteristic
474	C₄×C₈×C₁₃	C₂³	1	1	yes	characteristic
475	C₄×C₈×C₁₃	C₂³	1	1	yes	characteristic
476	C₄×C₈×C₁₃	C₂³	1	1	yes	characteristic
477	C₄×C₈×C₁₃	C₂³	1	1	yes	characteristic
478	#61004	C₁₃	1	1	yes	maximal, characteristic, direct product factor, Sylow
479	C₂⁴×C₁₃	—	2	1	no	—
480	C₂⁴×C₁₃	C₂×D₄	1	1	yes	characteristic
481	C₁₃×#41	—	4	1	no	—
482	C₁₃×#41	—	4	1	no	—
483	C₁₃×#41	—	4	1	no	—
484	C₁₃×#41	—	4	1	no	—
485	C₁₃×#41	—	8	2	no	—
486	C₁₃×#41	—	8	2	no	—
487	C₂×Q₈×C₁₃	—	2	1	no	—
488	C₂×Q₈×C₁₃	—	2	1	no	—
489	C₂×Q₈×C₁₃	—	2	1	no	—
490	C₂×Q₈×C₁₃	—	2	1	no	—
491	C₂×Q₈×C₁₃	—	2	1	no	—
492	C₂×Q₈×C₁₃	—	4	1	no	—
493	C₂×Q₈×C₁₃	—	4	1	no	—
494	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
495	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
496	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
497	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
498	C₂×D₄×C₁₃	—	2	1	no	—
499	C₂×D₄×C₁₃	—	2	1	no	—
500	C₂×D₄×C₁₃	—	2	1	no	—
501	C₂×D₄×C₁₃	—	2	1	no	—
502	C₂×D₄×C₁₃	—	2	1	no	—
503	C₂×D₄×C₁₃	—	2	1	no	—
504	C₂×D₄×C₁₃	—	2	1	no	—
505	C₂×D₄×C₁₃	—	2	1	no	—
506	C₂×D₄×C₁₃	—	2	1	no	—
507	C₂×D₄×C₁₃	—	2	1	no	—
508	C₂×D₄×C₁₃	—	2	1	no	—
509	C₂×D₄×C₁₃	—	2	1	no	—
510	C₂×D₄×C₁₃	—	2	1	no	—
511	C₂×D₄×C₁₃	—	2	1	no	—
512	C₂×D₄×C₁₃	—	2	1	no	—
513	C₂×D₄×C₁₃	—	4	1	no	—
514	C₂×D₄×C₁₃	—	4	1	no	—
515	C₂×D₄×C₁₃	—	8	2	no	—
516	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
517	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
518	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
519	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
520	C₂²×C₄×C₁₃	—	2	1	no	—
521	C₂²×C₄×C₁₃	—	2	1	no	—
522	C₂²×C₄×C₁₃	—	2	1	no	—
523	C₂²×C₄×C₁₃	—	2	1	no	—
524	C₂²×C₄×C₁₃	—	2	1	no	—
525	C₂²×C₄×C₁₃	—	2	1	no	—
526	C₂²×C₄×C₁₃	—	2	1	no	—
527	C₂²×C₄×C₁₃	—	2	1	no	—
528	C₂²×C₄×C₁₃	—	2	1	no	—
529	C₂²×C₄×C₁₃	—	2	1	no	—
530	C₂²×C₄×C₁₃	—	2	1	no	—
531	C₂²×C₄×C₁₃	—	2	1	no	—
532	C₂²×C₄×C₁₃	—	2	1	no	—
533	C₂²×C₄×C₁₃	—	4	1	no	—
534	C₂²×C₄×C₁₃	—	4	1	no	—
535	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
536	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
537	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
538	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
539	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
540	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
541	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
542	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
543	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
544	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
545	C₁₃×Q₁₆	—	4	1	no	—
546	C₁₃×Q₁₆	—	4	1	no	—
547	C₁₃×Q₁₆	—	4	1	no	—
548	C₁₃×SD₁₆	—	4	1	no	—
549	C₁₃×SD₁₆	—	4	1	no	—
550	C₁₃×SD₁₆	—	4	1	no	—
551	C₁₃×SD₁₆	—	4	1	no	—
552	C₁₃×SD₁₆	—	4	1	no	—
553	C₁₃×SD₁₆	—	4	1	no	—
554	C₁₃×SD₁₆	—	4	1	no	—
555	C₁₃×SD₁₆	—	4	1	no	—
556	C₁₃×SD₁₆	—	4	1	no	—
557	C₁₃×SD₁₆	—	4	1	no	—
558	C₁₃×D₈	—	4	1	no	—
559	C₁₃×D₈	—	4	1	no	—
560	C₁₃×D₈	—	4	1	no	—
561	C₁₃×M₁₆	—	4	1	no	—
562	C₁₃×M₁₆	—	4	1	no	—
563	C₁₃×M₁₆	—	4	1	no	—
564	C₁₃×M₁₆	—	4	1	no	—
565	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
566	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
567	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
568	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
569	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
570	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
571	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
572	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
573	C₁₃×C₄⋊C₄	—	2	1	no	—
574	C₁₃×C₄⋊C₄	—	2	1	no	—
575	C₁₃×C₄⋊C₄	—	2	1	no	—
576	C₁₃×C₄⋊C₄	—	2	1	no	—
577	C₁₃×C₄⋊C₄	—	2	1	no	—
578	C₁₃×C₄⋊C₄	—	2	1	no	—
579	C₁₃×C₄⋊C₄	—	2	1	no	—
580	C₁₃×C₄⋊C₄	—	2	1	no	—
581	C₁₃×C₄⋊C₄	—	2	1	no	—
582	C₁₃×C₄⋊C₄	—	2	1	no	—
583	C₁₃×C₄⋊C₄	—	2	1	no	—
584	C₁₃×C₄⋊C₄	—	2	1	no	—
585	C₁₃×C₄⋊C₄	—	2	1	no	—
586	C₁₃×C₄⋊C₄	—	2	1	no	—
587	C₁₃×C₄⋊C₄	—	2	1	no	—
588	C₁₃×C₄⋊C₄	—	2	1	no	—
589	C₁₃×C₄⋊C₄	—	2	1	no	—
590	C₁₃×C₄⋊C₄	—	2	1	no	—
591	C₁₃×C₄⋊C₄	—	2	1	no	—
592	C₁₃×C₄⋊C₄	—	2	1	no	—
593	C₁₃×C₄⋊C₄	—	2	1	no	—
594	C₁₃×C₄⋊C₄	—	2	1	no	—
595	C₁₃×C₄⋊C₄	—	2	1	no	—
596	C₁₃×C₄⋊C₄	—	2	1	no	—
597	C₁₃×C₄⋊C₄	—	2	1	no	—
598	C₁₃×C₄⋊C₄	—	2	1	no	—
599	C₁₃×C₄⋊C₄	—	2	1	no	—
600	C₁₃×C₄⋊C₄	—	2	1	no	—
601	C₁₃×C₄⋊C₄	—	2	1	no	—
602	C₁₃×C₄⋊C₄	—	2	1	no	—
603	C₁₃×C₄⋊C₄	—	2	1	no	—
604	C₁₃×C₄⋊C₄	—	2	1	no	—
605	C₁₃×C₄⋊C₄	—	2	1	no	—
606	C₁₃×C₄⋊C₄	—	2	1	no	—
607	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
608	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
609	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
610	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
611	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
612	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
613	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
614	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
615	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
616	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
617	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
618	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
619	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
620	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
621	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
622	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
623	C₁₃×C₂²⋊C₄	—	2	1	no	—
624	C₁₃×C₂²⋊C₄	—	2	1	no	—
625	C₁₃×C₂²⋊C₄	—	2	1	no	—
626	C₁₃×C₂²⋊C₄	—	2	1	no	—
627	C₁₃×C₂²⋊C₄	—	2	1	no	—
628	C₁₃×C₂²⋊C₄	—	2	1	no	—
629	C₁₃×C₂²⋊C₄	—	2	1	no	—
630	C₁₃×C₂²⋊C₄	—	2	1	no	—
631	C₁₃×C₂²⋊C₄	—	2	1	no	—
632	C₁₃×C₂²⋊C₄	—	2	1	no	—
633	C₁₃×C₂²⋊C₄	—	2	1	no	—
634	C₁₃×C₂²⋊C₄	—	2	1	no	—
635	C₁₃×C₂²⋊C₄	—	2	1	no	—
636	C₁₃×C₂²⋊C₄	—	2	1	no	—
637	C₁₃×C₂²⋊C₄	—	2	1	no	—
638	C₁₃×C₂²⋊C₄	—	2	1	no	—
639	C₁₃×C₂²⋊C₄	—	2	1	no	—
640	C₁₃×C₂²⋊C₄	—	2	1	no	—
641	C₁₃×C₂²⋊C₄	—	2	1	no	—
642	C₁₃×C₂²⋊C₄	—	2	1	no	—
643	C₁₃×C₂²⋊C₄	—	2	1	no	—
644	C₁₃×C₂²⋊C₄	—	2	1	no	—
645	C₁₃×C₂²⋊C₄	—	2	1	no	—
646	C₁₃×C₂²⋊C₄	—	2	1	no	—
647	C₁₃×C₂²⋊C₄	—	2	1	no	—
648	C₁₃×C₂²⋊C₄	—	2	1	no	—
649	C₁₃×C₂²⋊C₄	—	2	1	no	—
650	C₁₃×C₂²⋊C₄	—	2	1	no	—
651	C₁₃×C₂²⋊C₄	—	2	1	no	—
652	C₁₃×C₂²⋊C₄	—	2	1	no	—
653	C₁₃×C₂²⋊C₄	—	2	1	no	—
654	C₁₃×C₂²⋊C₄	—	2	1	no	—
655	C₁₃×C₂²⋊C₄	—	2	1	no	—
656	C₁₃×C₂²⋊C₄	—	2	1	no	—
657	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
658	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
659	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
660	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
661	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
662	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
663	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
664	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
665	C₄²×C₁₃	—	2	1	no	—
666	C₄²×C₁₃	—	2	1	no	—
667	C₄²×C₁₃	—	2	1	no	—
668	C₄²×C₁₃	—	2	1	no	—
669	C₄²×C₁₃	—	2	1	no	—
670	C₄²×C₁₃	—	2	1	no	—
671	C₄²×C₁₃	—	2	1	no	—
672	C₄²×C₁₃	—	2	1	no	—
673	C₄²×C₁₃	—	2	1	no	—
674	C₄²×C₁₃	—	2	1	no	—
675	C₄²×C₁₃	C₂×D₄	1	1	yes	characteristic
676	C₄²×C₁₃	C₂×D₄	1	1	yes	characteristic
677	C₄²×C₁₃	C₂×D₄	1	1	yes	characteristic
678	C₄²×C₁₃	C₂×D₄	1	1	yes	characteristic
679	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
680	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
681	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
682	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
683	#3495	C₂×C₁₃	1	1	yes	characteristic, complemented
684	#3494	C₂×C₁₃	1	1	yes	characteristic, complemented
685	#3256	C₂×C₁₃	1	1	yes	characteristic, complemented
686	#3254	C₂×C₁₃	1	1	yes	characteristic, complemented
687	#3252	C₂×C₁₃	1	1	yes	characteristic, complemented
688	#3251	C₂×C₁₃	1	1	yes	characteristic, complemented
689	#3243	C₂×C₁₃	1	1	yes	characteristic, complemented
690	#3243	C₂×C₁₃	1	1	yes	characteristic, complemented
691	#3242	C₂×C₁₃	1	1	yes	characteristic, complemented
692	#3241	C₂×C₁₃	1	1	yes	characteristic, complemented
693	#3225	C₂×C₁₃	1	1	yes	characteristic, complemented
694	#3224	C₂×C₁₃	1	1	yes	characteristic, complemented
695	#3222	C₂×C₁₃	1	1	yes	characteristic, complemented
696	#3221	C₂×C₁₃	1	1	yes	characteristic, complemented
697	#3197	C₂×C₁₃	1	1	yes	characteristic, complemented
698	#3196	C₂×C₁₃	1	1	yes	characteristic, complemented
699	#3194	C₂×C₁₃	1	1	yes	characteristic, complemented
700	#3193	C₂×C₁₃	1	1	yes	characteristic, complemented
701	#3183	C₂×C₁₃	1	1	yes	characteristic, complemented
702	#3182	C₂×C₁₃	1	1	yes	characteristic, complemented
703	#3172	C₂×C₁₃	1	1	yes	characteristic, complemented
704	#3171	C₂×C₁₃	1	1	yes	characteristic, complemented
705	#3126	C₂×C₁₃	1	1	yes	characteristic, complemented
706	#3124	C₂×C₁₃	1	1	yes	characteristic, complemented
707	#3124	C₂×C₁₃	1	1	yes	characteristic, complemented
708	#3123	C₂×C₁₃	1	1	yes	characteristic, complemented
709	#3121	C₂×C₁₃	1	1	yes	characteristic, complemented
710	#3120	C₂×C₁₃	1	1	yes	characteristic, complemented
711	#3119	C₂×C₁₃	1	1	yes	characteristic, complemented
712	#3118	C₂×C₁₃	1	1	yes	characteristic, complemented
713	#2921	C₂×C₁₃	1	1	yes	characteristic, complemented
714	C₂³×C₁₃	—	2	1	no	—
715	C₂³×C₁₃	—	2	1	no	—
716	C₂³×C₁₃	—	2	1	no	—
717	C₂³×C₁₃	—	2	1	no	—
718	C₂³×C₁₃	—	4	1	no	—
719	C₂³×C₁₃	—	4	1	no	—
720	C₂³×C₁₃	—	4	1	no	—
721	C₂³×C₁₃	—	4	2	no	—
722	C₂³×C₁₃	—	8	1	no	—
723	C₂³×C₁₃	—	8	1	no	—
724	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
725	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
726	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
727	Q₈×C₁₃	—	2	1	no	—
728	Q₈×C₁₃	—	2	1	no	—
729	Q₈×C₁₃	—	2	1	no	—
730	Q₈×C₁₃	—	2	1	no	—
731	Q₈×C₁₃	—	2	1	no	—
732	Q₈×C₁₃	—	2	1	no	—
733	Q₈×C₁₃	—	2	1	no	—
734	Q₈×C₁₃	—	2	1	no	—
735	Q₈×C₁₃	—	4	2	no	—
736	Q₈×C₁₃	—	8	1	no	—
737	Q₈×C₁₃	—	8	1	no	—
738	Q₈×C₁₃	—	8	1	no	—
739	Q₈×C₁₃	—	8	1	no	—
740	D₄×C₁₃	—	2	1	no	—
741	D₄×C₁₃	—	2	1	no	—
742	D₄×C₁₃	—	2	1	no	—
743	D₄×C₁₃	—	2	1	no	—
744	D₄×C₁₃	—	2	1	no	—
745	D₄×C₁₃	—	2	1	no	—
746	D₄×C₁₃	—	2	1	no	—
747	D₄×C₁₃	—	2	1	no	—
748	D₄×C₁₃	—	4	2	no	—
749	D₄×C₁₃	—	4	2	no	—
750	D₄×C₁₃	—	4	2	no	—
751	D₄×C₁₃	—	4	2	no	—
752	D₄×C₁₃	—	4	2	no	—
753	D₄×C₁₃	—	4	2	no	—
754	D₄×C₁₃	—	4	2	no	—
755	D₄×C₁₃	—	8	1	no	—
756	D₄×C₁₃	—	8	1	no	—
757	D₄×C₁₃	—	8	1	no	—
758	D₄×C₁₃	—	8	1	no	—
759	D₄×C₁₃	—	8	1	no	—
760	D₄×C₁₃	—	8	1	no	—
761	D₄×C₁₃	—	8	1	no	—
762	D₄×C₁₃	—	8	1	no	—
763	C₂×C₄×C₁₃	—	2	1	no	—
764	C₂×C₄×C₁₃	—	2	1	no	—
765	C₂×C₄×C₁₃	—	2	1	no	—
766	C₂×C₄×C₁₃	—	2	1	no	—
767	C₂×C₄×C₁₃	—	2	1	no	—
768	C₂×C₄×C₁₃	—	2	1	no	—
769	C₂×C₄×C₁₃	—	2	1	no	—
770	C₂×C₄×C₁₃	—	2	1	no	—
771	C₂×C₄×C₁₃	—	2	1	no	—
772	C₂×C₄×C₁₃	—	2	1	no	—
773	C₂×C₄×C₁₃	—	2	1	no	—
774	C₂×C₄×C₁₃	—	2	1	no	—
775	C₂×C₄×C₁₃	—	2	1	no	—
776	C₂×C₄×C₁₃	—	2	1	no	—
777	C₂×C₄×C₁₃	—	2	1	no	—
778	C₂×C₄×C₁₃	—	2	1	no	—
779	C₂×C₄×C₁₃	—	2	1	no	—
780	C₂×C₄×C₁₃	—	2	1	no	—
781	C₂×C₄×C₁₃	—	4	1	no	—
782	C₂×C₄×C₁₃	—	4	1	no	—
783	C₂×C₄×C₁₃	—	4	1	no	—
784	C₂×C₄×C₁₃	—	4	1	no	—
785	C₂×C₄×C₁₃	—	4	1	no	—
786	C₂×C₄×C₁₃	—	4	1	no	—
787	C₂×C₄×C₁₃	—	4	1	no	—
788	C₂×C₄×C₁₃	—	4	2	no	—
789	C₂×C₄×C₁₃	—	4	2	no	—
790	C₂×C₄×C₁₃	—	4	2	no	—
791	C₂×C₄×C₁₃	—	8	1	no	—
792	C₂×C₄×C₁₃	—	8	1	no	—
793	C₂×C₄×C₁₃	—	8	1	no	—
794	C₂×C₄×C₁₃	—	8	1	no	—
795	C₂×C₄×C₁₃	—	8	1	no	—
796	C₂×C₄×C₁₃	—	8	1	no	—
797	C₂×C₄×C₁₃	—	8	1	no	—
798	C₂×C₄×C₁₃	—	8	1	no	—
799	C₂×C₄×C₁₃	—	8	1	no	—
800	C₂×C₄×C₁₃	—	8	1	no	—
801	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
802	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
803	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
804	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
805	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
806	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
807	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
808	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
809	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
810	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
811	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
812	C₂×C₄×C₁₃	C₂⁵	1	1	yes	characteristic
813	C₈×C₁₃	—	2	1	no	—
814	C₈×C₁₃	—	2	1	no	—
815	C₈×C₁₃	—	2	1	no	—
816	C₈×C₁₃	—	2	1	no	—
817	C₈×C₁₃	—	2	1	no	—
818	C₈×C₁₃	—	2	1	no	—
819	C₈×C₁₃	—	2	1	no	—
820	C₈×C₁₃	—	2	1	no	—
821	#556	—	2	1	no	—
822	#555	—	2	1	no	—
823	#554	—	2	1	no	—
824	#553	—	2	1	no	—
825	#553	—	2	1	no	—
826	#552	—	2	1	no	—
827	#552	—	2	1	no	—
828	#552	—	2	1	no	—
829	#552	—	2	1	no	—
830	#551	—	2	1	no	—
831	#551	—	2	1	no	—
832	#551	—	2	1	no	—
833	#551	—	2	1	no	—
834	#547	—	2	1	no	—
835	#546	—	2	1	no	—
836	#546	—	2	1	no	—
837	#544	C₂²×C₁₃	1	1	yes	characteristic
838	#544	C₂²×C₁₃	1	1	yes	characteristic, complemented
839	#542	C₂²×C₁₃	1	1	yes	characteristic
840	#542	C₂²×C₁₃	1	1	yes	characteristic
841	#542	C₂²×C₁₃	1	1	yes	characteristic
842	#542	C₂²×C₁₃	1	1	yes	characteristic
843	#541	C₂²×C₁₃	1	1	yes	characteristic
844	#541	C₂²×C₁₃	1	1	yes	characteristic
845	#540	C₂²×C₁₃	1	1	yes	characteristic
846	#540	C₂²×C₁₃	1	1	yes	characteristic
847	#536	C₂²×C₁₃	1	1	yes	characteristic, complemented
848	#535	C₂²×C₁₃	1	1	yes	characteristic
849	#533	C₂²×C₁₃	1	1	yes	characteristic, complemented
850	#533	C₂²×C₁₃	1	1	yes	characteristic, complemented
851	#532	C₂²×C₁₃	1	1	yes	characteristic
852	#532	C₂²×C₁₃	1	1	yes	characteristic
853	#529	C₂²×C₁₃	1	1	yes	characteristic
854	#529	C₂²×C₁₃	1	1	yes	characteristic
855	#529	C₂²×C₁₃	1	1	yes	characteristic, complemented
856	#529	C₂²×C₁₃	1	1	yes	characteristic, complemented
857	#525	C₂²×C₁₃	1	1	yes	characteristic
858	#525	C₂²×C₁₃	1	1	yes	characteristic
859	C₂×C₂²⋊Q₈	C₂²×C₁₃	1	1	yes	characteristic
860	C₂×#121	C₂²×C₁₃	1	1	yes	characteristic
861	#520	C₂²×C₁₃	1	1	yes	characteristic
862	#520	C₂²×C₁₃	1	1	yes	characteristic, complemented
863	#519	C₂²×C₁₃	1	1	yes	characteristic, complemented
864	#518	C₂²×C₁₃	1	1	yes	characteristic
865	C₂×#117	C₂²×C₁₃	1	1	yes	characteristic
866	#501	C₂²×C₁₃	1	1	yes	characteristic, complemented
867	#501	C₂²×C₁₃	1	1	yes	characteristic, complemented
868	#500	C₂²×C₁₃	1	1	yes	characteristic, complemented
869	#499	C₂²×C₁₃	1	1	yes	characteristic, complemented
870	#497	C₂²×C₁₃	1	1	yes	characteristic, complemented
871	#496	C₂²×C₁₃	1	1	yes	characteristic, complemented
872	#495	C₂²×C₁₃	1	1	yes	characteristic, complemented
873	#492	C₂²×C₁₃	1	1	yes	characteristic, complemented
874	#491	C₂²×C₁₃	1	1	yes	characteristic, complemented
875	#490	C₂²×C₁₃	1	1	yes	characteristic, complemented
876	#489	C₂²×C₁₃	1	1	yes	characteristic, complemented
877	#489	C₂²×C₁₃	1	1	yes	characteristic, complemented
878	#488	C₂²×C₁₃	1	1	yes	characteristic, complemented
879	#488	C₂²×C₁₃	1	1	yes	characteristic, complemented
880	#487	C₂²×C₁₃	1	1	yes	characteristic, complemented
881	#486	C₂²×C₁₃	1	1	yes	characteristic, complemented
882	#485	C₂²×C₁₃	1	1	yes	characteristic
883	#485	C₂²×C₁₃	1	1	yes	characteristic
884	#485	C₂²×C₁₃	1	1	yes	characteristic
885	#485	C₂²×C₁₃	1	1	yes	characteristic, complemented
886	#484	C₂²×C₁₃	1	1	yes	characteristic
887	#484	C₂²×C₁₃	1	1	yes	characteristic
888	#484	C₂²×C₁₃	1	1	yes	characteristic, complemented
889	#483	C₂²×C₁₃	1	1	yes	characteristic
890	#482	C₂²×C₁₃	1	1	yes	characteristic
891	#482	C₂²×C₁₃	1	1	yes	characteristic
892	#482	C₂²×C₁₃	1	1	yes	characteristic
893	#482	C₂²×C₁₃	1	1	yes	characteristic, complemented
894	#481	C₂²×C₁₃	1	1	yes	characteristic, complemented
895	#480	C₂²×C₁₃	1	1	yes	characteristic
896	#480	C₂²×C₁₃	1	1	yes	characteristic
897	#480	C₂²×C₁₃	1	1	yes	characteristic
898	#479	C₂²×C₁₃	1	1	yes	characteristic, complemented
899	#479	C₂²×C₁₃	1	1	yes	characteristic, complemented
900	#479	C₂²×C₁₃	1	1	yes	characteristic, complemented
901	#479	C₂²×C₁₃	1	1	yes	characteristic, complemented
902	#478	C₂²×C₁₃	1	1	yes	characteristic, complemented
903	#478	C₂²×C₁₃	1	1	yes	characteristic, complemented
904	#478	C₂²×C₁₃	1	1	yes	characteristic, complemented
905	#478	C₂²×C₁₃	1	1	yes	characteristic, complemented
906	#477	C₂²×C₁₃	1	1	yes	characteristic, complemented
907	#477	C₂²×C₁₃	1	1	yes	characteristic, complemented
908	#477	C₂²×C₁₃	1	1	yes	characteristic, complemented
909	#476	C₂²×C₁₃	1	1	yes	characteristic, complemented
910	#475	C₂²×C₁₃	1	1	yes	characteristic, complemented
911	#474	C₂²×C₁₃	1	1	yes	characteristic, complemented
912	#474	C₂²×C₁₃	1	1	yes	characteristic, complemented
913	#474	C₂²×C₁₃	1	1	yes	characteristic, complemented
914	#470	C₂²×C₁₃	1	1	yes	characteristic, complemented
915	#470	C₂²×C₁₃	1	1	yes	characteristic, complemented
916	#470	C₂²×C₁₃	1	1	yes	characteristic, complemented
917	#469	C₂²×C₁₃	1	1	yes	characteristic
918	#469	C₂²×C₁₃	1	1	yes	characteristic
919	#469	C₂²×C₁₃	1	1	yes	characteristic, complemented
920	#468	C₂²×C₁₃	1	1	yes	characteristic
921	#468	C₂²×C₁₃	1	1	yes	characteristic
922	#468	C₂²×C₁₃	1	1	yes	characteristic
923	#468	C₂²×C₁₃	1	1	yes	characteristic
924	#468	C₂²×C₁₃	1	1	yes	characteristic
925	#468	C₂²×C₁₃	1	1	yes	characteristic
926	#468	C₂²×C₁₃	1	1	yes	characteristic, complemented
927	#468	C₂²×C₁₃	1	1	yes	characteristic, complemented
928	#468	C₂²×C₁₃	1	1	yes	characteristic, complemented
929	#468	C₂²×C₁₃	1	1	yes	characteristic, complemented
930	#464	C₂²×C₁₃	1	1	yes	characteristic, complemented
931	#464	C₂²×C₁₃	1	1	yes	characteristic, complemented
932	#464	C₂²×C₁₃	1	1	yes	characteristic, complemented
933	#464	C₂²×C₁₃	1	1	yes	characteristic, complemented
934	#463	C₂²×C₁₃	1	1	yes	characteristic, complemented
935	#463	C₂²×C₁₃	1	1	yes	characteristic, complemented
936	#463	C₂²×C₁₃	1	1	yes	characteristic, complemented
937	#463	C₂²×C₁₃	1	1	yes	characteristic, complemented
938	#462	C₂²×C₁₃	1	1	yes	characteristic, complemented
939	#461	C₂²×C₁₃	1	1	yes	characteristic, complemented
940	#461	C₂²×C₁₃	1	1	yes	characteristic, complemented
941	#461	C₂²×C₁₃	1	1	yes	characteristic, complemented
942	#460	C₂²×C₁₃	1	1	yes	characteristic, complemented
943	#460	C₂²×C₁₃	1	1	yes	characteristic, complemented
944	#460	C₂²×C₁₃	1	1	yes	characteristic, complemented
945	#459	C₂²×C₁₃	1	1	yes	characteristic, complemented
946	#452	C₂²×C₁₃	1	1	yes	characteristic
947	#452	C₂²×C₁₃	1	1	yes	characteristic
948	#452	C₂²×C₁₃	1	1	yes	characteristic
949	#452	C₂²×C₁₃	1	1	yes	characteristic, complemented
950	#451	C₂²×C₁₃	1	1	yes	characteristic, complemented
951	#450	C₂²×C₁₃	1	1	yes	characteristic
952	#450	C₂²×C₁₃	1	1	yes	characteristic
953	#450	C₂²×C₁₃	1	1	yes	characteristic
954	#449	C₂²×C₁₃	1	1	yes	characteristic
955	#449	C₂²×C₁₃	1	1	yes	characteristic
956	#449	C₂²×C₁₃	1	1	yes	characteristic
957	#449	C₂²×C₁₃	1	1	yes	characteristic, complemented
958	#448	C₂²×C₁₃	1	1	yes	characteristic
959	#448	C₂²×C₁₃	1	1	yes	characteristic
960	#448	C₂²×C₁₃	1	1	yes	characteristic, complemented
961	#447	C₂²×C₁₃	1	1	yes	characteristic
962	#442	C₂²×C₁₃	1	1	yes	characteristic, complemented
963	#441	C₂²×C₁₃	1	1	yes	characteristic, complemented
964	#440	C₂²×C₁₃	1	1	yes	characteristic, complemented
965	#440	C₂²×C₁₃	1	1	yes	characteristic, complemented
966	#440	C₂²×C₁₃	1	1	yes	characteristic, complemented
967	#440	C₂²×C₁₃	1	1	yes	characteristic, complemented
968	#440	C₂²×C₁₃	1	1	yes	characteristic, complemented
969	#440	C₂²×C₁₃	1	1	yes	characteristic, complemented
970	C₄×Q₁₆	C₂²×C₁₃	1	1	yes	characteristic, complemented
971	C₄×Q₁₆	C₂²×C₁₃	1	1	yes	characteristic, complemented
972	C₄×SD₁₆	C₂²×C₁₃	1	1	yes	characteristic, complemented
973	C₄×SD₁₆	C₂²×C₁₃	1	1	yes	characteristic, complemented
974	C₄×SD₁₆	C₂²×C₁₃	1	1	yes	characteristic, complemented
975	C₄×SD₁₆	C₂²×C₁₃	1	1	yes	characteristic, complemented
976	C₄×D₈	C₂²×C₁₃	1	1	yes	characteristic, complemented
977	C₄×D₈	C₂²×C₁₃	1	1	yes	characteristic, complemented
978	#433	C₂²×C₁₃	1	1	yes	characteristic
979	#433	C₂²×C₁₃	1	1	yes	characteristic
980	#433	C₂²×C₁₃	1	1	yes	characteristic
981	#433	C₂²×C₁₃	1	1	yes	characteristic
982	#433	C₂²×C₁₃	1	1	yes	characteristic, complemented
983	#433	C₂²×C₁₃	1	1	yes	characteristic, complemented
984	#433	C₂²×C₁₃	1	1	yes	characteristic, complemented
985	#433	C₂²×C₁₃	1	1	yes	characteristic, complemented
986	#423	C₂²×C₁₃	1	1	yes	characteristic, complemented
987	#423	C₂²×C₁₃	1	1	yes	characteristic, complemented
988	#407	C₂²×C₁₃	1	1	yes	characteristic
989	#407	C₂²×C₁₃	1	1	yes	characteristic
990	C₄×M₁₆	C₂²×C₁₃	1	1	yes	characteristic, complemented
991	C₄×M₁₆	C₂²×C₁₃	1	1	yes	characteristic, complemented
992	C₂²×C₁₃	—	2	1	no	—
993	C₂²×C₁₃	—	2	1	no	—
994	C₂²×C₁₃	—	2	1	no	—
995	C₂²×C₁₃	—	2	1	no	—
996	C₂²×C₁₃	—	2	1	no	—
997	C₂²×C₁₃	—	2	1	no	—
998	C₂²×C₁₃	—	2	1	no	—
999	C₂²×C₁₃	—	2	1	no	—
1000	C₂²×C₁₃	—	2	1	no	—
1001	C₂²×C₁₃	—	4	1	no	—
1002	C₂²×C₁₃	—	4	1	no	—
1003	C₂²×C₁₃	—	4	1	no	—
1004	C₂²×C₁₃	—	4	1	no	—
1005	C₂²×C₁₃	—	4	1	no	—
1006	C₂²×C₁₃	—	4	1	no	—
1007	C₂²×C₁₃	—	4	1	no	—
1008	C₂²×C₁₃	—	4	1	no	—
1009	C₂²×C₁₃	—	4	1	no	—
1010	C₂²×C₁₃	—	4	1	no	—
1011	C₂²×C₁₃	—	4	1	no	—
1012	C₂²×C₁₃	—	4	1	no	—
1013	C₂²×C₁₃	—	8	2	no	—
1014	C₂²×C₁₃	—	16	2	no	—
1015	C₂²×C₁₃	C₂³×D₄	1	1	yes	characteristic
1016	C₄×C₁₃	—	2	1	no	—
1017	C₄×C₁₃	—	2	1	no	—
1018	C₄×C₁₃	—	2	1	no	—
1019	C₄×C₁₃	—	2	1	no	—
1020	C₄×C₁₃	—	2	1	no	—
1021	C₄×C₁₃	—	2	1	no	—
1022	C₄×C₁₃	—	2	1	no	—
1023	C₄×C₁₃	—	2	1	no	—
1024	C₄×C₁₃	—	2	1	no	—
1025	C₄×C₁₃	—	2	1	no	—
1026	C₄×C₁₃	—	2	1	no	—
1027	C₄×C₁₃	—	4	1	no	—
1028	C₄×C₁₃	—	4	1	no	—
1029	C₄×C₁₃	—	4	1	no	—
1030	C₄×C₁₃	—	4	1	no	—
1031	C₄×C₁₃	—	4	1	no	—
1032	C₄×C₁₃	—	4	1	no	—
1033	C₄×C₁₃	—	4	1	no	—
1034	C₄×C₁₃	—	4	1	no	—
1035	C₄×C₁₃	—	4	1	no	—
1036	C₄×C₁₃	—	4	1	no	—
1037	C₄×C₁₃	—	4	1	no	—
1038	C₄×C₁₃	—	4	1	no	—
1039	C₄×C₁₃	#585	1	1	yes	characteristic
1040	C₄×C₁₃	#585	1	1	yes	characteristic
1041	C₂×#41	—	2	1	no	—
1042	C₂×#41	—	2	1	no	—
1043	C₂×#41	C₂³×C₁₃	1	1	yes	characteristic
1044	C₂×#41	C₂³×C₁₃	1	1	yes	characteristic
1045	C₂²×Q₈	C₂³×C₁₃	1	1	yes	characteristic
1046	C₂²×D₄	—	2	1	no	—
1047	C₂²×D₄	C₂³×C₁₃	1	1	yes	characteristic
1048	C₂³×C₄	C₂³×C₁₃	1	1	yes	characteristic
1049	C₂×Q₁₆	C₂³×C₁₃	1	1	yes	characteristic
1050	C₂×Q₁₆	C₂³×C₁₃	1	1	yes	characteristic
1051	C₂×Q₁₆	C₂³×C₁₃	1	1	yes	characteristic
1052	C₂×SD₁₆	C₂³×C₁₃	1	1	yes	characteristic
1053	C₂×SD₁₆	C₂³×C₁₃	1	1	yes	characteristic
1054	C₂×SD₁₆	C₂³×C₁₃	1	1	yes	characteristic
1055	C₂×SD₁₆	C₂³×C₁₃	1	1	yes	characteristic
1056	C₂×SD₁₆	C₂³×C₁₃	1	1	yes	characteristic
1057	C₂×SD₁₆	C₂³×C₁₃	1	1	yes	characteristic
1058	C₂×SD₁₆	C₂³×C₁₃	1	1	yes	characteristic
1059	C₂×SD₁₆	C₂³×C₁₃	1	1	yes	characteristic
1060	C₂×SD₁₆	C₂³×C₁₃	1	1	yes	characteristic
1061	C₂×SD₁₆	C₂³×C₁₃	1	1	yes	characteristic
1062	C₂×D₈	C₂³×C₁₃	1	1	yes	characteristic
1063	C₂×D₈	C₂³×C₁₃	1	1	yes	characteristic
1064	C₂×D₈	C₂³×C₁₃	1	1	yes	characteristic
1065	C₂×M₁₆	C₂³×C₁₃	1	1	yes	characteristic
1066	C₂×M₁₆	C₂³×C₁₃	1	1	yes	characteristic
1067	C₂×M₁₆	C₂³×C₁₃	1	1	yes	characteristic
1068	C₂×M₁₆	C₂³×C₁₃	1	1	yes	characteristic
1069	C₄⋊Q₈	—	2	1	no	—
1070	C₄⋊Q₈	—	2	1	no	—
1071	C₄⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
1072	C₄⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
1073	C₄⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
1074	C₄⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
1075	C₄⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
1076	C₄⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
1077	#127	C₂³×C₁₃	1	1	yes	characteristic
1078	#127	C₂³×C₁₃	1	1	yes	characteristic
1079	#126	—	2	1	no	—
1080	#126	—	2	1	no	—
1081	#126	—	2	1	no	—
1082	#126	—	2	1	no	—
1083	#126	—	2	1	no	—
1084	#126	—	2	1	no	—
1085	#126	—	2	1	no	—
1086	#126	—	2	1	no	—
1087	#126	—	2	1	no	—
1088	#126	—	2	1	no	—
1089	#126	—	2	1	no	—
1090	#126	—	2	1	no	—
1091	#125	—	2	1	no	—
1092	#125	—	2	1	no	—
1093	#125	—	2	1	no	—
1094	#125	—	2	1	no	—
1095	#125	—	2	1	no	—
1096	#125	—	2	1	no	—
1097	#125	—	2	1	no	—
1098	#125	—	2	1	no	—
1099	#125	C₂³×C₁₃	1	1	yes	characteristic
1100	#125	C₂³×C₁₃	1	1	yes	characteristic
1101	#125	C₂³×C₁₃	1	1	yes	characteristic
1102	#125	C₂³×C₁₃	1	1	yes	characteristic
1103	#124	—	2	1	no	—
1104	#124	—	2	1	no	—
1105	#124	—	2	1	no	—
1106	#124	—	2	1	no	—
1107	#124	—	2	1	no	—
1108	#124	—	2	1	no	—
1109	#124	C₂³×C₁₃	1	1	yes	characteristic
1110	#124	C₂³×C₁₃	1	1	yes	characteristic
1111	#124	C₂³×C₁₃	1	1	yes	characteristic
1112	#124	C₂³×C₁₃	1	1	yes	characteristic
1113	#123	—	2	1	no	—
1114	#123	—	2	1	no	—
1115	#123	—	2	1	no	—
1116	#123	—	2	1	no	—
1117	#123	—	2	1	no	—
1118	#123	—	2	1	no	—
1119	#123	—	2	1	no	—
1120	#123	—	2	1	no	—
1121	#123	—	2	1	no	—
1122	#123	—	2	1	no	—
1123	#123	—	2	1	no	—
1124	#123	—	2	1	no	—
1125	#123	—	2	1	no	—
1126	#123	—	2	1	no	—
1127	#123	—	2	1	no	—
1128	#123	—	2	1	no	—
1129	C₂²⋊Q₈	—	2	1	no	—
1130	C₂²⋊Q₈	—	2	1	no	—
1131	C₂²⋊Q₈	—	2	1	no	—
1132	C₂²⋊Q₈	—	2	1	no	—
1133	C₂²⋊Q₈	—	2	1	no	—
1134	C₂²⋊Q₈	—	2	1	no	—
1135	C₂²⋊Q₈	—	2	1	no	—
1136	C₂²⋊Q₈	—	2	1	no	—
1137	C₂²⋊Q₈	—	2	1	no	—
1138	C₂²⋊Q₈	—	2	1	no	—
1139	C₂²⋊Q₈	—	2	1	no	—
1140	C₂²⋊Q₈	—	2	1	no	—
1141	C₂²⋊Q₈	—	2	1	no	—
1142	C₂²⋊Q₈	—	2	1	no	—
1143	C₂²⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
1144	C₂²⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
1145	C₂²⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
1146	C₂²⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
1147	C₂²⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
1148	C₂²⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
1149	C₂²⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
1150	C₂²⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
1151	#121	—	2	1	no	—
1152	#121	—	2	1	no	—
1153	#121	—	2	1	no	—
1154	#121	—	2	1	no	—
1155	#121	—	2	1	no	—
1156	#121	—	2	1	no	—
1157	#121	—	2	1	no	—
1158	#121	—	2	1	no	—
1159	#121	—	2	1	no	—
1160	#121	—	2	1	no	—
1161	#121	C₂³×C₁₃	1	1	yes	characteristic
1162	#121	C₂³×C₁₃	1	1	yes	characteristic
1163	#121	C₂³×C₁₃	1	1	yes	characteristic
1164	#121	C₂³×C₁₃	1	1	yes	characteristic
1165	#121	C₂³×C₁₃	1	1	yes	characteristic
1166	#121	C₂³×C₁₃	1	1	yes	characteristic
1167	#121	C₂³×C₁₃	1	1	yes	characteristic
1168	#121	C₂³×C₁₃	1	1	yes	characteristic
1169	#120	—	2	1	no	—
1170	#120	—	2	1	no	—
1171	#120	—	2	1	no	—
1172	#120	—	2	1	no	—
1173	C₄×Q₈	—	2	1	no	—
1174	C₄×Q₈	—	2	1	no	—
1175	C₄×Q₈	—	2	1	no	—
1176	C₄×Q₈	—	2	1	no	—
1177	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
1178	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
1179	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
1180	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
1181	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
1182	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
1183	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
1184	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
1185	C₄×D₄	—	2	1	no	—
1186	C₄×D₄	—	2	1	no	—
1187	C₄×D₄	—	2	1	no	—
1188	C₄×D₄	—	2	1	no	—
1189	C₄×D₄	—	2	1	no	—
1190	C₄×D₄	—	2	1	no	—
1191	C₄×D₄	—	2	1	no	—
1192	C₄×D₄	—	2	1	no	—
1193	C₄×D₄	—	2	1	no	—
1194	C₄×D₄	—	2	1	no	—
1195	C₄×D₄	—	2	1	no	—
1196	C₄×D₄	—	2	1	no	—
1197	C₄×D₄	—	2	1	no	—
1198	C₄×D₄	—	2	1	no	—
1199	C₄×D₄	—	2	1	no	—
1200	C₄×D₄	—	2	1	no	—
1201	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
1202	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
1203	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
1204	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
1205	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
1206	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
1207	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
1208	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
1209	#117	—	2	1	no	—
1210	#117	—	2	1	no	—
1211	#117	—	2	1	no	—
1212	#117	—	2	1	no	—
1213	#117	—	2	1	no	—
1214	#117	—	2	1	no	—
1215	#117	—	2	1	no	—
1216	#117	—	2	1	no	—
1217	#117	—	2	1	no	—
1218	#117	—	2	1	no	—
1219	#117	D₄×C₁₃	1	1	yes	characteristic
1220	#117	D₄×C₁₃	1	1	yes	characteristic
1221	#117	D₄×C₁₃	1	1	yes	characteristic
1222	#117	D₄×C₁₃	1	1	yes	characteristic
1223	#117	C₂³×C₁₃	1	1	yes	characteristic
1224	#117	C₂³×C₁₃	1	1	yes	characteristic
1225	#117	C₂³×C₁₃	1	1	yes	characteristic
1226	#117	C₂³×C₁₃	1	1	yes	characteristic
1227	#117	C₂³×C₁₃	1	1	yes	characteristic
1228	#117	C₂³×C₁₃	1	1	yes	characteristic
1229	C₂×C₄⋊C₄	—	2	1	no	—
1230	C₂×C₄⋊C₄	—	2	1	no	—
1231	C₂×C₄⋊C₄	—	2	1	no	—
1232	C₂×C₄⋊C₄	D₄×C₁₃	1	1	yes	characteristic
1233	C₂×C₄⋊C₄	D₄×C₁₃	1	1	yes	characteristic
1234	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1235	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1236	C₂×C₂²⋊C₄	—	2	1	no	—
1237	C₂×C₂²⋊C₄	—	2	1	no	—
1238	C₂×C₂²⋊C₄	—	2	1	no	—
1239	C₂×C₂²⋊C₄	—	2	1	no	—
1240	C₂×C₂²⋊C₄	D₄×C₁₃	1	1	yes	characteristic
1241	C₂×C₂²⋊C₄	D₄×C₁₃	1	1	yes	characteristic
1242	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
1243	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
1244	#107	C₂³×C₁₃	1	1	yes	characteristic
1245	#107	C₂³×C₁₃	1	1	yes	characteristic
1246	#107	C₂³×C₁₃	1	1	yes	characteristic
1247	#107	C₂³×C₁₃	1	1	yes	characteristic
1248	#107	C₂³×C₁₃	1	1	yes	characteristic
1249	#107	C₂³×C₁₃	1	1	yes	characteristic
1250	#107	C₂³×C₁₃	1	1	yes	characteristic
1251	#107	C₂³×C₁₃	1	1	yes	characteristic
1252	#107	C₂³×C₁₃	1	1	yes	characteristic
1253	#107	C₂³×C₁₃	1	1	yes	characteristic
1254	#106	C₂³×C₁₃	1	1	yes	characteristic
1255	#106	C₂³×C₁₃	1	1	yes	characteristic
1256	#106	C₂³×C₁₃	1	1	yes	characteristic
1257	#106	C₂³×C₁₃	1	1	yes	characteristic
1258	#106	C₂³×C₁₃	1	1	yes	characteristic
1259	#106	C₂³×C₁₃	1	1	yes	characteristic
1260	C₄⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
1261	C₄⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
1262	C₄⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
1263	C₄⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
1264	C₄⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
1265	C₄⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
1266	C₄⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
1267	C₄⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
1268	#103	C₂³×C₁₃	1	1	yes	characteristic
1269	#103	C₂³×C₁₃	1	1	yes	characteristic
1270	#103	C₂³×C₁₃	1	1	yes	characteristic
1271	#103	C₂³×C₁₃	1	1	yes	characteristic
1272	#103	C₂³×C₁₃	1	1	yes	characteristic
1273	#103	C₂³×C₁₃	1	1	yes	characteristic
1274	#103	C₂³×C₁₃	1	1	yes	characteristic
1275	#103	C₂³×C₁₃	1	1	yes	characteristic
1276	#103	C₂³×C₁₃	1	1	yes	characteristic
1277	#103	C₂³×C₁₃	1	1	yes	characteristic
1278	#103	C₂³×C₁₃	1	1	yes	characteristic
1279	#103	C₂³×C₁₃	1	1	yes	characteristic
1280	#103	C₂³×C₁₃	1	1	yes	characteristic
1281	#103	C₂³×C₁₃	1	1	yes	characteristic
1282	#103	C₂³×C₁₃	1	1	yes	characteristic
1283	#103	C₂³×C₁₃	1	1	yes	characteristic
1284	#102	C₂³×C₁₃	1	1	yes	characteristic
1285	#102	C₂³×C₁₃	1	1	yes	characteristic
1286	#102	C₂³×C₁₃	1	1	yes	characteristic
1287	#102	C₂³×C₁₃	1	1	yes	characteristic
1288	#102	C₂³×C₁₃	1	1	yes	characteristic
1289	#102	C₂³×C₁₃	1	1	yes	characteristic
1290	#102	C₂³×C₁₃	1	1	yes	characteristic
1291	#102	C₂³×C₁₃	1	1	yes	characteristic
1292	#102	C₂³×C₁₃	1	1	yes	characteristic
1293	#102	C₂³×C₁₃	1	1	yes	characteristic
1294	#102	C₂³×C₁₃	1	1	yes	characteristic
1295	#102	C₂³×C₁₃	1	1	yes	characteristic
1296	#102	C₂³×C₁₃	1	1	yes	characteristic
1297	#102	C₂³×C₁₃	1	1	yes	characteristic
1298	#102	C₂³×C₁₃	1	1	yes	characteristic
1299	#102	C₂³×C₁₃	1	1	yes	characteristic
1300	C₂²⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
1301	C₂²⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
1302	C₂²⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
1303	C₂²⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
1304	C₂²⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
1305	C₂²⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
1306	C₂²⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
1307	C₂²⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
1308	#97	C₂³×C₁₃	1	1	yes	characteristic
1309	#97	C₂³×C₁₃	1	1	yes	characteristic
1310	#97	C₂³×C₁₃	1	1	yes	characteristic
1311	#97	C₂³×C₁₃	1	1	yes	characteristic
1312	C₄×C₈	C₂³×C₁₃	1	1	yes	characteristic
1313	C₄×C₈	C₂³×C₁₃	1	1	yes	characteristic
1314	C₄×C₈	C₂³×C₁₃	1	1	yes	characteristic
1315	C₄×C₈	C₂³×C₁₃	1	1	yes	characteristic
1316	C₂×C₁₃	—	4	1	no	—
1317	C₂×C₁₃	—	4	1	no	—
1318	C₂×C₁₃	—	4	1	no	—
1319	C₂×C₁₃	—	8	1	no	—
1320	C₂×C₁₃	—	8	1	no	—
1321	C₂×C₁₃	—	8	1	no	—
1322	C₂×C₁₃	—	8	1	no	—
1323	C₂×C₁₃	#3449	1	1	yes	characteristic
1324	C₂×C₁₃	#3585	1	1	yes	characteristic
1325	C₂×C₁₃	#3586	1	1	yes	characteristic
1326	C₂⁴	—	2	1	no	—
1327	C₂⁴	C₂×D₄×C₁₃	1	1	yes	characteristic
1328	#41	—	4	1	no	—
1329	#41	—	4	1	no	—
1330	#41	—	4	1	no	—
1331	#41	—	4	1	no	—
1332	#41	—	8	2	no	—
1333	#41	—	8	2	no	—
1334	C₂×Q₈	—	2	1	no	—
1335	C₂×Q₈	—	2	1	no	—
1336	C₂×Q₈	—	2	1	no	—
1337	C₂×Q₈	—	2	1	no	—
1338	C₂×Q₈	—	2	1	no	—
1339	C₂×Q₈	—	4	1	no	—
1340	C₂×Q₈	—	4	1	no	—
1341	C₂×Q₈	C₂⁴×C₁₃	1	1	yes	characteristic
1342	C₂×Q₈	C₂⁴×C₁₃	1	1	yes	characteristic
1343	C₂×Q₈	C₂⁴×C₁₃	1	1	yes	characteristic
1344	C₂×Q₈	C₂⁴×C₁₃	1	1	yes	characteristic
1345	C₂×D₄	—	2	1	no	—
1346	C₂×D₄	—	2	1	no	—
1347	C₂×D₄	—	2	1	no	—
1348	C₂×D₄	—	2	1	no	—
1349	C₂×D₄	—	2	1	no	—
1350	C₂×D₄	—	2	1	no	—
1351	C₂×D₄	—	2	1	no	—
1352	C₂×D₄	—	2	1	no	—
1353	C₂×D₄	—	2	1	no	—
1354	C₂×D₄	—	2	1	no	—
1355	C₂×D₄	—	2	1	no	—
1356	C₂×D₄	—	2	1	no	—
1357	C₂×D₄	—	2	1	no	—
1358	C₂×D₄	—	2	1	no	—
1359	C₂×D₄	—	2	1	no	—
1360	C₂×D₄	—	4	1	no	—
1361	C₂×D₄	—	4	1	no	—
1362	C₂×D₄	—	8	2	no	—
1363	C₂×D₄	C₂⁴×C₁₃	1	1	yes	characteristic
1364	C₂×D₄	C₂⁴×C₁₃	1	1	yes	characteristic
1365	C₂×D₄	C₂⁴×C₁₃	1	1	yes	characteristic
1366	C₂×D₄	C₂⁴×C₁₃	1	1	yes	characteristic
1367	C₂²×C₄	—	2	1	no	—
1368	C₂²×C₄	—	2	1	no	—
1369	C₂²×C₄	—	2	1	no	—
1370	C₂²×C₄	—	2	1	no	—
1371	C₂²×C₄	—	2	1	no	—
1372	C₂²×C₄	—	2	1	no	—
1373	C₂²×C₄	—	2	1	no	—
1374	C₂²×C₄	—	2	1	no	—
1375	C₂²×C₄	—	2	1	no	—
1376	C₂²×C₄	—	2	1	no	—
1377	C₂²×C₄	—	2	1	no	—
1378	C₂²×C₄	—	2	1	no	—
1379	C₂²×C₄	—	2	1	no	—
1380	C₂²×C₄	—	4	1	no	—
1381	C₂²×C₄	—	4	1	no	—
1382	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1383	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1384	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1385	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1386	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1387	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1388	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1389	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1390	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1391	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1392	Q₁₆	—	4	1	no	—
1393	Q₁₆	—	4	1	no	—
1394	Q₁₆	—	4	1	no	—
1395	SD₁₆	—	4	1	no	—
1396	SD₁₆	—	4	1	no	—
1397	SD₁₆	—	4	1	no	—
1398	SD₁₆	—	4	1	no	—
1399	SD₁₆	—	4	1	no	—
1400	SD₁₆	—	4	1	no	—
1401	SD₁₆	—	4	1	no	—
1402	SD₁₆	—	4	1	no	—
1403	SD₁₆	—	4	1	no	—
1404	SD₁₆	—	4	1	no	—
1405	D₈	—	4	1	no	—
1406	D₈	—	4	1	no	—
1407	D₈	—	4	1	no	—
1408	M₁₆	—	4	1	no	—
1409	M₁₆	—	4	1	no	—
1410	M₁₆	—	4	1	no	—
1411	M₁₆	—	4	1	no	—
1412	C₂×C₈	C₂⁴×C₁₃	1	1	yes	characteristic
1413	C₂×C₈	C₂⁴×C₁₃	1	1	yes	characteristic
1414	C₂×C₈	C₂⁴×C₁₃	1	1	yes	characteristic
1415	C₂×C₈	C₂⁴×C₁₃	1	1	yes	characteristic
1416	C₂×C₈	C₂⁴×C₁₃	1	1	yes	characteristic
1417	C₂×C₈	C₂⁴×C₁₃	1	1	yes	characteristic
1418	C₂×C₈	C₂⁴×C₁₃	1	1	yes	characteristic
1419	C₂×C₈	C₂⁴×C₁₃	1	1	yes	characteristic
1420	C₄⋊C₄	—	2	1	no	—
1421	C₄⋊C₄	—	2	1	no	—
1422	C₄⋊C₄	—	2	1	no	—
1423	C₄⋊C₄	—	2	1	no	—
1424	C₄⋊C₄	—	2	1	no	—
1425	C₄⋊C₄	—	2	1	no	—
1426	C₄⋊C₄	—	2	1	no	—
1427	C₄⋊C₄	—	2	1	no	—
1428	C₄⋊C₄	—	2	1	no	—
1429	C₄⋊C₄	—	2	1	no	—
1430	C₄⋊C₄	—	2	1	no	—
1431	C₄⋊C₄	—	2	1	no	—
1432	C₄⋊C₄	—	2	1	no	—
1433	C₄⋊C₄	—	2	1	no	—
1434	C₄⋊C₄	—	2	1	no	—
1435	C₄⋊C₄	—	2	1	no	—
1436	C₄⋊C₄	—	2	1	no	—
1437	C₄⋊C₄	—	2	1	no	—
1438	C₄⋊C₄	—	2	1	no	—
1439	C₄⋊C₄	—	2	1	no	—
1440	C₄⋊C₄	—	2	1	no	—
1441	C₄⋊C₄	—	2	1	no	—
1442	C₄⋊C₄	—	2	1	no	—
1443	C₄⋊C₄	—	2	1	no	—
1444	C₄⋊C₄	—	2	1	no	—
1445	C₄⋊C₄	—	2	1	no	—
1446	C₄⋊C₄	—	2	1	no	—
1447	C₄⋊C₄	—	2	1	no	—
1448	C₄⋊C₄	—	2	1	no	—
1449	C₄⋊C₄	—	2	1	no	—
1450	C₄⋊C₄	—	2	1	no	—
1451	C₄⋊C₄	—	2	1	no	—
1452	C₄⋊C₄	—	2	1	no	—
1453	C₄⋊C₄	—	2	1	no	—
1454	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1455	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1456	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1457	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1458	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1459	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1460	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1461	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1462	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1463	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1464	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1465	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1466	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1467	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1468	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1469	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1470	C₂²⋊C₄	—	2	1	no	—
1471	C₂²⋊C₄	—	2	1	no	—
1472	C₂²⋊C₄	—	2	1	no	—
1473	C₂²⋊C₄	—	2	1	no	—
1474	C₂²⋊C₄	—	2	1	no	—
1475	C₂²⋊C₄	—	2	1	no	—
1476	C₂²⋊C₄	—	2	1	no	—
1477	C₂²⋊C₄	—	2	1	no	—
1478	C₂²⋊C₄	—	2	1	no	—
1479	C₂²⋊C₄	—	2	1	no	—
1480	C₂²⋊C₄	—	2	1	no	—
1481	C₂²⋊C₄	—	2	1	no	—
1482	C₂²⋊C₄	—	2	1	no	—
1483	C₂²⋊C₄	—	2	1	no	—
1484	C₂²⋊C₄	—	2	1	no	—
1485	C₂²⋊C₄	—	2	1	no	—
1486	C₂²⋊C₄	—	2	1	no	—
1487	C₂²⋊C₄	—	2	1	no	—
1488	C₂²⋊C₄	—	2	1	no	—
1489	C₂²⋊C₄	—	2	1	no	—
1490	C₂²⋊C₄	—	2	1	no	—
1491	C₂²⋊C₄	—	2	1	no	—
1492	C₂²⋊C₄	—	2	1	no	—
1493	C₂²⋊C₄	—	2	1	no	—
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	C₂×D₄×C₁₃	1	1	yes	characteristic
1505	C₂²⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1506	C₂²⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1507	C₂²⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1508	C₂²⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1509	C₂²⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1510	C₂²⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1511	C₂²⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1512	C₄²	—	2	1	no	—
1513	C₄²	—	2	1	no	—
1514	C₄²	—	2	1	no	—
1515	C₄²	—	2	1	no	—
1516	C₄²	—	2	1	no	—
1517	C₄²	—	2	1	no	—
1518	C₄²	—	2	1	no	—
1519	C₄²	—	2	1	no	—
1520	C₄²	—	2	1	no	—
1521	C₄²	—	2	1	no	—
1522	C₄²	C₂×D₄×C₁₃	1	1	yes	characteristic
1523	C₄²	C₂×D₄×C₁₃	1	1	yes	characteristic
1524	C₄²	C₂×D₄×C₁₃	1	1	yes	characteristic
1525	C₄²	C₂×D₄×C₁₃	1	1	yes	characteristic
1526	C₄²	C₂⁴×C₁₃	1	1	yes	characteristic
1527	C₄²	C₂⁴×C₁₃	1	1	yes	characteristic
1528	C₄²	C₂⁴×C₁₃	1	1	yes	characteristic
1529	C₄²	C₂⁴×C₁₃	1	1	yes	characteristic
1530	C₁₃	#61004	1	1	yes	characteristic, direct product factor, Sylow
1531	C₂³	—	2	1	no	—
1532	C₂³	—	2	1	no	—
1533	C₂³	—	2	1	no	—
1534	C₂³	—	2	1	no	—
1535	C₂³	—	4	1	no	—
1536	C₂³	—	4	1	no	—
1537	C₂³	—	4	1	no	—
1538	C₂³	—	4	2	no	—
1539	C₂³	—	8	1	no	—
1540	C₂³	—	8	1	no	—
1541	C₂³	C₂²×D₄×C₁₃	1	1	yes	characteristic
1542	C₂³	C₂²×D₄×C₁₃	1	1	yes	characteristic
1543	C₂³	C₂²×D₄×C₁₃	1	1	yes	characteristic
1544	Q₈	—	2	1	no	—
1545	Q₈	—	2	1	no	—
1546	Q₈	—	2	1	no	—
1547	Q₈	—	2	1	no	—
1548	Q₈	—	2	1	no	—
1549	Q₈	—	2	1	no	—
1550	Q₈	—	2	1	no	—
1551	Q₈	—	2	1	no	—
1552	Q₈	—	4	2	no	—
1553	Q₈	—	8	1	no	—
1554	Q₈	—	8	1	no	—
1555	Q₈	—	8	1	no	—
1556	Q₈	—	8	1	no	—
1557	D₄	—	2	1	no	—
1558	D₄	—	2	1	no	—
1559	D₄	—	2	1	no	—
1560	D₄	—	2	1	no	—
1561	D₄	—	2	1	no	—
1562	D₄	—	2	1	no	—
1563	D₄	—	2	1	no	—
1564	D₄	—	2	1	no	—
1565	D₄	—	4	2	no	—
1566	D₄	—	4	2	no	—
1567	D₄	—	4	2	no	—
1568	D₄	—	4	2	no	—
1569	D₄	—	4	2	no	—
1570	D₄	—	4	2	no	—
1571	D₄	—	4	2	no	—
1572	D₄	—	8	1	no	—
1573	D₄	—	8	1	no	—
1574	D₄	—	8	1	no	—
1575	D₄	—	8	1	no	—
1576	D₄	—	8	1	no	—
1577	D₄	—	8	1	no	—
1578	D₄	—	8	1	no	—
1579	D₄	—	8	1	no	—
1580	C₂×C₄	—	2	1	no	—
1581	C₂×C₄	—	2	1	no	—
1582	C₂×C₄	—	2	1	no	—
1583	C₂×C₄	—	2	1	no	—
1584	C₂×C₄	—	2	1	no	—
1585	C₂×C₄	—	2	1	no	—
1586	C₂×C₄	—	2	1	no	—
1587	C₂×C₄	—	2	1	no	—
1588	C₂×C₄	—	2	1	no	—
1589	C₂×C₄	—	2	1	no	—
1590	C₂×C₄	—	2	1	no	—
1591	C₂×C₄	—	2	1	no	—
1592	C₂×C₄	—	2	1	no	—
1593	C₂×C₄	—	2	1	no	—
1594	C₂×C₄	—	2	1	no	—
1595	C₂×C₄	—	2	1	no	—
1596	C₂×C₄	—	2	1	no	—
1597	C₂×C₄	—	2	1	no	—
1598	C₂×C₄	—	4	1	no	—
1599	C₂×C₄	—	4	1	no	—
1600	C₂×C₄	—	4	1	no	—
1601	C₂×C₄	—	4	1	no	—
1602	C₂×C₄	—	4	1	no	—
1603	C₂×C₄	—	4	1	no	—
1604	C₂×C₄	—	4	1	no	—
1605	C₂×C₄	—	4	2	no	—
1606	C₂×C₄	—	4	2	no	—
1607	C₂×C₄	—	4	2	no	—
1608	C₂×C₄	—	8	1	no	—
1609	C₂×C₄	—	8	1	no	—
1610	C₂×C₄	—	8	1	no	—
1611	C₂×C₄	—	8	1	no	—
1612	C₂×C₄	—	8	1	no	—
1613	C₂×C₄	—	8	1	no	—
1614	C₂×C₄	—	8	1	no	—
1615	C₂×C₄	—	8	1	no	—
1616	C₂×C₄	—	8	1	no	—
1617	C₂×C₄	—	8	1	no	—
1618	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1619	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1620	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1621	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1622	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1623	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1624	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1625	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1626	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1627	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1628	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1629	C₂×C₄	C₂⁵×C₁₃	1	1	yes	characteristic
1630	C₈	—	2	1	no	—
1631	C₈	—	2	1	no	—
1632	C₈	—	2	1	no	—
1633	C₈	—	2	1	no	—
1634	C₈	—	2	1	no	—
1635	C₈	—	2	1	no	—
1636	C₈	—	2	1	no	—
1637	C₈	—	2	1	no	—
1638	C₂²	—	2	1	no	—
1639	C₂²	—	2	1	no	—
1640	C₂²	—	2	1	no	—
1641	C₂²	—	2	1	no	—
1642	C₂²	—	2	1	no	—
1643	C₂²	—	2	1	no	—
1644	C₂²	—	2	1	no	—
1645	C₂²	—	2	1	no	—
1646	C₂²	—	2	1	no	—
1647	C₂²	—	4	1	no	—
1648	C₂²	—	4	1	no	—
1649	C₂²	—	4	1	no	—
1650	C₂²	—	4	1	no	—
1651	C₂²	—	4	1	no	—
1652	C₂²	—	4	1	no	—
1653	C₂²	—	4	1	no	—
1654	C₂²	—	4	1	no	—
1655	C₂²	—	4	1	no	—
1656	C₂²	—	4	1	no	—
1657	C₂²	—	4	1	no	—
1658	C₂²	—	4	1	no	—
1659	C₂²	—	8	2	no	—
1660	C₂²	—	16	2	no	—
1661	C₂²	C₂³×D₄×C₁₃	1	1	yes	characteristic
1662	C₄	—	2	1	no	—
1663	C₄	—	2	1	no	—
1664	C₄	—	2	1	no	—
1665	C₄	—	2	1	no	—
1666	C₄	—	2	1	no	—
1667	C₄	—	2	1	no	—
1668	C₄	—	2	1	no	—
1669	C₄	—	2	1	no	—
1670	C₄	—	2	1	no	—
1671	C₄	—	2	1	no	—
1672	C₄	—	2	1	no	—
1673	C₄	—	4	1	no	—
1674	C₄	—	4	1	no	—
1675	C₄	—	4	1	no	—
1676	C₄	—	4	1	no	—
1677	C₄	—	4	1	no	—
1678	C₄	—	4	1	no	—
1679	C₄	—	4	1	no	—
1680	C₄	—	4	1	no	—
1681	C₄	—	4	1	no	—
1682	C₄	—	4	1	no	—
1683	C₄	—	4	1	no	—
1684	C₄	—	4	1	no	—
1685	C₄	C₁₃×#585	1	1	yes	characteristic
1686	C₄	C₁₃×#585	1	1	yes	characteristic
1687	C₂	—	4	1	no	—
1688	C₂	—	4	1	no	—
1689	C₂	—	4	1	no	—
1690	C₂	—	8	1	no	—
1691	C₂	—	8	1	no	—
1692	C₂	—	8	1	no	—
1693	C₂	—	8	1	no	—
1694	C₂	C₁₃×#3449	1	1	yes	characteristic
1695	C₂	C₁₃×#3585	1	1	yes	characteristic
1696	C₂	C₁₃×#3586	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂²×C₁₃	C₂³×D₄
commutator, Frattini, cosocle	C₂×C₄	C₂⁵×C₁₃
LCS	G ▷ C₂×C₄ ▷ C₂ ▷ C₁
UCS	C₁ ◁ C₂²×C₁₃ ◁ C₂×C₁₃×#117 ◁ G

Complements

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

N	H ≅ G/N	type
1. C₁₃×#3495	C₂	semidirect
2. C₁₃×#3494	C₂	semidirect
3. C₁₃×#3256	C₂	semidirect
4. C₁₃×#3254	C₂	semidirect
5. C₁₃×#3252	C₂	semidirect
6. C₁₃×#3251	C₂	semidirect
7. C₁₃×#3243	C₂	semidirect
8. C₁₃×#3243	C₂	semidirect
9. C₁₃×#3242	C₂	semidirect
10. C₁₃×#3241	C₂	semidirect
11. C₁₃×#3225	C₂	semidirect
12. C₁₃×#3224	C₂	semidirect
13. C₁₃×#3222	C₂	semidirect
14. C₁₃×#3221	C₂	semidirect
15. C₁₃×#3197	C₂	semidirect
16. C₁₃×#3196	C₂	semidirect
17. C₁₃×#3194	C₂	semidirect
18. C₁₃×#3193	C₂	semidirect
19. C₁₃×#3183	C₂	semidirect
20. C₁₃×#3182	C₂	semidirect
21. C₁₃×#3172	C₂	semidirect
22. C₁₃×#3171	C₂	semidirect
23. C₁₃×#3126	C₂	semidirect
24. C₁₃×#3124	C₂	semidirect
25. C₁₃×#3124	C₂	semidirect
26. C₁₃×#3123	C₂	semidirect
27. C₁₃×#3121	C₂	semidirect
28. C₁₃×#3120	C₂	semidirect
29. C₁₃×#3119	C₂	semidirect
30. C₁₃×#3118	C₂	semidirect
31. C₁₃×#2921	C₂	semidirect
49. C₁₃×#544	C₂²	semidirect
58. C₁₃×#536	C₂²	semidirect
60. C₁₃×#533	C₂²	semidirect
61. C₁₃×#533	C₂²	semidirect
66. C₁₃×#529	C₂²	semidirect
67. C₁₃×#529	C₂²	semidirect
73. C₁₃×#520	C₂²	semidirect
74. C₁₃×#519	C₂²	semidirect
77. C₁₃×#501	C₂²	semidirect
78. C₁₃×#501	C₂²	semidirect
79. C₁₃×#500	C₂²	semidirect
80. C₁₃×#499	C₂²	semidirect
81. C₁₃×#497	C₂²	semidirect
82. C₁₃×#496	C₂²	semidirect
83. C₁₃×#495	C₂²	semidirect
84. C₁₃×#492	C₂²	semidirect
85. C₁₃×#491	C₂²	semidirect
86. C₁₃×#490	C₂²	semidirect
87. C₁₃×#489	C₂²	semidirect
88. C₁₃×#489	C₂²	semidirect
89. C₁₃×#488	C₂²	semidirect
90. C₁₃×#488	C₂²	semidirect
91. C₁₃×#487	C₂²	semidirect
92. C₁₃×#486	C₂²	semidirect
96. C₁₃×#485	C₂²	semidirect
99. C₁₃×#484	C₂²	semidirect
104. C₁₃×#482	C₂²	semidirect
105. C₁₃×#481	C₂²	semidirect
109. C₁₃×#479	C₂²	semidirect
110. C₁₃×#479	C₂²	semidirect
111. C₁₃×#479	C₂²	semidirect
112. C₁₃×#479	C₂²	semidirect
113. C₁₃×#478	C₂²	semidirect
114. C₁₃×#478	C₂²	semidirect
115. C₁₃×#478	C₂²	semidirect
116. C₁₃×#478	C₂²	semidirect
117. C₁₃×#477	C₂²	semidirect
118. C₁₃×#477	C₂²	semidirect
119. C₁₃×#477	C₂²	semidirect
120. C₁₃×#476	C₂²	semidirect
121. C₁₃×#475	C₂²	semidirect
122. C₁₃×#474	C₂²	semidirect
123. C₁₃×#474	C₂²	semidirect
124. C₁₃×#474	C₂²	semidirect
125. C₁₃×#470	C₂²	semidirect
126. C₁₃×#470	C₂²	semidirect
127. C₁₃×#470	C₂²	semidirect
130. C₁₃×#469	C₂²	semidirect
137. C₁₃×#468	C₂²	semidirect
138. C₁₃×#468	C₂²	semidirect
139. C₁₃×#468	C₂²	semidirect
140. C₁₃×#468	C₂²	semidirect
141. C₁₃×#464	C₂²	semidirect
142. C₁₃×#464	C₂²	semidirect
143. C₁₃×#464	C₂²	semidirect
144. C₁₃×#464	C₂²	semidirect
145. C₁₃×#463	C₂²	semidirect
146. C₁₃×#463	C₂²	semidirect
147. C₁₃×#463	C₂²	semidirect
148. C₁₃×#463	C₂²	semidirect
149. C₁₃×#462	C₂²	semidirect
150. C₁₃×#461	C₂²	semidirect
151. C₁₃×#461	C₂²	semidirect
152. C₁₃×#461	C₂²	semidirect
153. C₁₃×#460	C₂²	semidirect
154. C₁₃×#460	C₂²	semidirect
155. C₁₃×#460	C₂²	semidirect
156. C₁₃×#459	C₂²	semidirect
160. C₁₃×#452	C₂²	semidirect
161. C₁₃×#451	C₂²	semidirect
168. C₁₃×#449	C₂²	semidirect
171. C₁₃×#448	C₂²	semidirect
173. C₁₃×#442	C₂²	semidirect
174. C₁₃×#441	C₂²	semidirect
175. C₁₃×#440	C₂²	semidirect
176. C₁₃×#440	C₂²	semidirect
177. C₁₃×#440	C₂²	semidirect
178. C₁₃×#440	C₂²	semidirect
179. C₁₃×#440	C₂²	semidirect
180. C₁₃×#440	C₂²	semidirect
181. C₄×C₁₃×Q₁₆	C₂²	semidirect
182. C₄×C₁₃×Q₁₆	C₂²	semidirect
183. C₄×C₁₃×SD₁₆	C₂²	semidirect
184. C₄×C₁₃×SD₁₆	C₂²	semidirect
185. C₄×C₁₃×SD₁₆	C₂²	semidirect
186. C₄×C₁₃×SD₁₆	C₂²	semidirect
187. C₄×C₁₃×D₈	C₂²	semidirect
188. C₄×C₁₃×D₈	C₂²	semidirect
193. C₁₃×#433	C₂²	semidirect
194. C₁₃×#433	C₂²	semidirect
195. C₁₃×#433	C₂²	semidirect
196. C₁₃×#433	C₂²	semidirect
197. C₁₃×#423	C₂²	semidirect
198. C₁₃×#423	C₂²	semidirect
201. C₄×C₁₃×M₁₆	C₂²	semidirect
202. C₄×C₁₃×M₁₆	C₂²	semidirect
478. #61004	C₁₃	direct (N × H)
683. #3495	C₂×C₁₃	semidirect
684. #3494	C₂×C₁₃	semidirect
685. #3256	C₂×C₁₃	semidirect
686. #3254	C₂×C₁₃	semidirect
687. #3252	C₂×C₁₃	semidirect
688. #3251	C₂×C₁₃	semidirect
689. #3243	C₂×C₁₃	semidirect
690. #3243	C₂×C₁₃	semidirect
691. #3242	C₂×C₁₃	semidirect
692. #3241	C₂×C₁₃	semidirect
693. #3225	C₂×C₁₃	semidirect
694. #3224	C₂×C₁₃	semidirect
695. #3222	C₂×C₁₃	semidirect
696. #3221	C₂×C₁₃	semidirect
697. #3197	C₂×C₁₃	semidirect
698. #3196	C₂×C₁₃	semidirect
699. #3194	C₂×C₁₃	semidirect
700. #3193	C₂×C₁₃	semidirect
701. #3183	C₂×C₁₃	semidirect
702. #3182	C₂×C₁₃	semidirect
703. #3172	C₂×C₁₃	semidirect
704. #3171	C₂×C₁₃	semidirect
705. #3126	C₂×C₁₃	semidirect
706. #3124	C₂×C₁₃	semidirect
707. #3124	C₂×C₁₃	semidirect
708. #3123	C₂×C₁₃	semidirect
709. #3121	C₂×C₁₃	semidirect
710. #3120	C₂×C₁₃	semidirect
711. #3119	C₂×C₁₃	semidirect
712. #3118	C₂×C₁₃	semidirect
713. #2921	C₂×C₁₃	semidirect
838. #544	C₂²×C₁₃	semidirect
847. #536	C₂²×C₁₃	semidirect
849. #533	C₂²×C₁₃	semidirect
850. #533	C₂²×C₁₃	semidirect
855. #529	C₂²×C₁₃	semidirect
856. #529	C₂²×C₁₃	semidirect
862. #520	C₂²×C₁₃	semidirect
863. #519	C₂²×C₁₃	semidirect
866. #501	C₂²×C₁₃	semidirect
867. #501	C₂²×C₁₃	semidirect
868. #500	C₂²×C₁₃	semidirect
869. #499	C₂²×C₁₃	semidirect
870. #497	C₂²×C₁₃	semidirect
871. #496	C₂²×C₁₃	semidirect
872. #495	C₂²×C₁₃	semidirect
873. #492	C₂²×C₁₃	semidirect
874. #491	C₂²×C₁₃	semidirect
875. #490	C₂²×C₁₃	semidirect
876. #489	C₂²×C₁₃	semidirect
877. #489	C₂²×C₁₃	semidirect
878. #488	C₂²×C₁₃	semidirect
879. #488	C₂²×C₁₃	semidirect
880. #487	C₂²×C₁₃	semidirect
881. #486	C₂²×C₁₃	semidirect
885. #485	C₂²×C₁₃	semidirect
888. #484	C₂²×C₁₃	semidirect
893. #482	C₂²×C₁₃	semidirect
894. #481	C₂²×C₁₃	semidirect
898. #479	C₂²×C₁₃	semidirect
899. #479	C₂²×C₁₃	semidirect
900. #479	C₂²×C₁₃	semidirect
901. #479	C₂²×C₁₃	semidirect
902. #478	C₂²×C₁₃	semidirect
903. #478	C₂²×C₁₃	semidirect
904. #478	C₂²×C₁₃	semidirect
905. #478	C₂²×C₁₃	semidirect
906. #477	C₂²×C₁₃	semidirect
907. #477	C₂²×C₁₃	semidirect
908. #477	C₂²×C₁₃	semidirect
909. #476	C₂²×C₁₃	semidirect
910. #475	C₂²×C₁₃	semidirect
911. #474	C₂²×C₁₃	semidirect
912. #474	C₂²×C₁₃	semidirect
913. #474	C₂²×C₁₃	semidirect
914. #470	C₂²×C₁₃	semidirect
915. #470	C₂²×C₁₃	semidirect
916. #470	C₂²×C₁₃	semidirect
919. #469	C₂²×C₁₃	semidirect
926. #468	C₂²×C₁₃	semidirect
927. #468	C₂²×C₁₃	semidirect
928. #468	C₂²×C₁₃	semidirect
929. #468	C₂²×C₁₃	semidirect
930. #464	C₂²×C₁₃	semidirect
931. #464	C₂²×C₁₃	semidirect
932. #464	C₂²×C₁₃	semidirect
933. #464	C₂²×C₁₃	semidirect
934. #463	C₂²×C₁₃	semidirect
935. #463	C₂²×C₁₃	semidirect
936. #463	C₂²×C₁₃	semidirect
937. #463	C₂²×C₁₃	semidirect
938. #462	C₂²×C₁₃	semidirect
939. #461	C₂²×C₁₃	semidirect
940. #461	C₂²×C₁₃	semidirect
941. #461	C₂²×C₁₃	semidirect
942. #460	C₂²×C₁₃	semidirect
943. #460	C₂²×C₁₃	semidirect
944. #460	C₂²×C₁₃	semidirect
945. #459	C₂²×C₁₃	semidirect
949. #452	C₂²×C₁₃	semidirect
950. #451	C₂²×C₁₃	semidirect
957. #449	C₂²×C₁₃	semidirect
960. #448	C₂²×C₁₃	semidirect
962. #442	C₂²×C₁₃	semidirect
963. #441	C₂²×C₁₃	semidirect
964. #440	C₂²×C₁₃	semidirect
965. #440	C₂²×C₁₃	semidirect
966. #440	C₂²×C₁₃	semidirect
967. #440	C₂²×C₁₃	semidirect
968. #440	C₂²×C₁₃	semidirect
969. #440	C₂²×C₁₃	semidirect
970. C₄×Q₁₆	C₂²×C₁₃	semidirect
971. C₄×Q₁₆	C₂²×C₁₃	semidirect
972. C₄×SD₁₆	C₂²×C₁₃	semidirect
973. C₄×SD₁₆	C₂²×C₁₃	semidirect
974. C₄×SD₁₆	C₂²×C₁₃	semidirect
975. C₄×SD₁₆	C₂²×C₁₃	semidirect
976. C₄×D₈	C₂²×C₁₃	semidirect
977. C₄×D₈	C₂²×C₁₃	semidirect
982. #433	C₂²×C₁₃	semidirect
983. #433	C₂²×C₁₃	semidirect
984. #433	C₂²×C₁₃	semidirect
985. #433	C₂²×C₁₃	semidirect
986. #423	C₂²×C₁₃	semidirect
987. #423	C₂²×C₁₃	semidirect
990. C₄×M₁₆	C₂²×C₁₃	semidirect
991. C₄×M₁₆	C₂²×C₁₃	semidirect
1530. C₁₃	#61004	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×#3495	2
C₁₃×#3494	2
C₁₃×#3256	2
C₁₃×#3254	2
C₁₃×#3252	2
C₁₃×#3251	2
C₁₃×#3243	2
C₁₃×#3242	2
C₁₃×#3241	2
C₁₃×#3225	2
C₁₃×#3224	2
C₁₃×#3222	2
C₁₃×#3221	2
C₁₃×#3197	2
C₁₃×#3196	2
C₁₃×#3194	2
C₁₃×#3193	2
C₁₃×#3183	2
C₁₃×#3182	2
C₁₃×#3172	2
C₁₃×#3171	2
C₁₃×#3126	2
C₁₃×#3124	2
C₁₃×#3123	2
C₁₃×#3121	2
C₁₃×#3120	2
C₁₃×#3119	2
C₁₃×#3118	2
C₁₃×#2921	2
#61004	13

Subgroups — C13×#61004 #15747343

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₃×#61004 #15747343