Subgroups — C₁₃×#62891 #15749230

Order 3328.

6280 conjugacy classes of subgroups.

The subgroup lattice has 2128 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₁₃×#3568	C₂	1	4	yes	maximal, complemented
2	C₁₃×#3566	C₂	1	4	yes	maximal, complemented
3	C₁₃×#3566	C₂	1	4	yes	maximal, complemented
4	C₁₃×#3565	C₂	1	2	yes	maximal, complemented
5	C₁₃×#3565	C₂	1	4	yes	maximal, complemented
6	C₁₃×#3564	C₂	1	4	yes	maximal, complemented
7	C₁₃×#3564	C₂	1	4	yes	maximal, complemented
8	C₁₃×#3561	C₂	1	2	yes	maximal, complemented
9	C₁₃×#3557	C₂	1	4	yes	maximal, complemented
10	C₁₃×#3555	C₂	1	2	yes	maximal, complemented
11	C₁₃×#3555	C₂	1	4	yes	maximal, complemented
12	C₁₃×#3555	C₂	1	2	yes	maximal, complemented
13	C₁₃×#3552	C₂	1	2	yes	maximal, complemented
14	C₁₃×#3551	C₂	1	1	yes	maximal, characteristic, complemented
15	C₁₃×#3550	C₂	1	1	yes	maximal, characteristic, complemented
16	C₁₃×#3541	C₂	1	2	yes	maximal, complemented
17	C₁₃×#3540	C₂	1	1	yes	maximal, characteristic, complemented
18	C₁₃×#3538	C₂	1	1	yes	maximal, characteristic, complemented
19	C₁₃×#3523	C₂	1	2	yes	maximal, complemented
20	C₁₃×#3521	C₂	1	2	yes	maximal, complemented
21	C₁₃×#3518	C₂	1	2	yes	maximal, complemented
22	C₁₃×#3516	C₂	1	2	yes	maximal, complemented
23	C₁₃×#3510	C₂	1	1	yes	maximal, characteristic, complemented
24	C₁₃×#3509	C₂	1	1	yes	maximal, characteristic, complemented
25	C₁₃×#3495	C₂	1	2	yes	maximal, complemented
26	C₁₃×#3461	C₂	1	2	yes	maximal, complemented
27	C₁₃×#3455	C₂	1	1	yes	maximal, characteristic, complemented
28	C₁₃×#563	C₂²	1	2	yes	—
29	C₁₃×#563	C₂²	1	4	yes	—
30	C₁₃×#563	C₂²	1	2	yes	complemented
31	C₁₃×#563	C₂²	1	4	yes	complemented
32	C₁₃×#563	C₂²	1	2	yes	complemented
33	C₁₃×#563	C₂²	1	2	yes	complemented
34	C₁₃×#563	C₂²	1	2	yes	complemented
35	C₁₃×#563	C₂²	1	4	yes	complemented
36	C₁₃×#563	C₂²	1	4	yes	complemented
37	C₁₃×#563	C₂²	1	4	yes	complemented
38	C₁₃×#563	C₂²	1	4	yes	complemented
39	C₁₃×#563	C₂²	1	4	yes	complemented
40	C₁₃×#563	C₂²	1	4	yes	complemented
41	C₁₃×#563	C₂²	1	4	yes	complemented
42	C₁₃×#562	C₂²	1	4	yes	—
43	C₁₃×#562	C₂²	1	4	yes	complemented
44	C₁₃×#562	C₂²	1	4	yes	complemented
45	C₁₃×H(3,𝔽₄)	C₂²	1	2	yes	—
46	C₁₃×#560	C₂²	1	2	yes	—
47	C₁₃×#560	C₂²	1	2	yes	complemented
48	C₁₃×#559	C₂²	1	2	yes	—
49	C₁₃×#559	C₂²	1	4	yes	—
50	C₁₃×#559	C₂²	1	2	yes	complemented
51	Q₈²×C₁₃	C₂²	1	2	yes	complemented
52	Q₈²×C₁₃	C₂²	1	2	yes	complemented
53	C₁₃×#557	C₂²	1	2	yes	complemented
54	C₁₃×#557	C₂²	1	4	yes	complemented
55	C₁₃×#557	C₂²	1	2	yes	complemented
56	C₁₃×#557	C₂²	1	4	yes	complemented
57	C₁₃×#557	C₂²	1	2	yes	complemented
58	C₁₃×#557	C₂²	1	4	yes	complemented
59	C₁₃×#556	C₂²	1	2	yes	—
60	C₁₃×#556	C₂²	1	4	yes	—
61	C₁₃×#556	C₂²	1	4	yes	—
62	C₁₃×#556	C₂²	1	2	yes	complemented
63	C₁₃×#556	C₂²	1	2	yes	complemented
64	C₁₃×#556	C₂²	1	2	yes	complemented
65	C₁₃×#556	C₂²	1	4	yes	complemented
66	C₁₃×#556	C₂²	1	4	yes	complemented
67	C₁₃×#556	C₂²	1	4	yes	complemented
68	C₁₃×#556	C₂²	1	2	yes	complemented
69	C₁₃×#556	C₂²	1	2	yes	complemented
70	C₁₃×#556	C₂²	1	4	yes	complemented
71	C₁₃×#556	C₂²	1	2	yes	complemented
72	C₁₃×#556	C₂²	1	4	yes	complemented
73	C₁₃×#556	C₂²	1	4	yes	complemented
74	C₁₃×#556	C₂²	1	4	yes	complemented
75	C₁₃×#556	C₂²	1	4	yes	complemented
76	C₁₃×#556	C₂²	1	4	yes	complemented
77	C₁₃×#555	C₂²	1	2	yes	—
78	C₁₃×#555	C₂²	1	4	yes	complemented
79	C₁₃×#555	C₂²	1	2	yes	complemented
80	C₁₃×#554	C₂²	1	2	yes	complemented
81	C₁₃×#554	C₂²	1	4	yes	complemented
82	C₁₃×#554	C₂²	1	2	yes	complemented
83	C₁₃×#554	C₂²	1	4	yes	complemented
84	C₁₃×#554	C₂²	1	4	yes	complemented
85	C₁₃×#554	C₂²	1	4	yes	complemented
86	C₁₃×#553	C₂²	1	2	yes	—
87	C₁₃×#553	C₂²	1	4	yes	—
88	C₁₃×#553	C₂²	1	4	yes	complemented
89	C₁₃×#553	C₂²	1	2	yes	complemented
90	C₁₃×#553	C₂²	1	4	yes	complemented
91	C₁₃×#553	C₂²	1	4	yes	complemented
92	C₁₃×#552	C₂²	1	2	yes	—
93	C₁₃×#552	C₂²	1	4	yes	complemented
94	C₁₃×#552	C₂²	1	2	yes	complemented
95	C₁₃×#552	C₂²	1	2	yes	complemented
96	C₁₃×#552	C₂²	1	4	yes	complemented
97	C₁₃×#552	C₂²	1	4	yes	complemented
98	C₁₃×#552	C₂²	1	2	yes	complemented
99	C₁₃×#552	C₂²	1	4	yes	complemented
100	C₁₃×#552	C₂²	1	4	yes	complemented
101	C₁₃×#552	C₂²	1	4	yes	complemented
102	C₁₃×#552	C₂²	1	4	yes	complemented
103	C₁₃×#552	C₂²	1	4	yes	complemented
104	C₁₃×#552	C₂²	1	4	yes	complemented
105	C₁₃×#552	C₂²	1	4	yes	complemented
106	C₁₃×#552	C₂²	1	4	yes	complemented
107	C₁₃×#552	C₂²	1	4	yes	complemented
108	C₁₃×#551	C₂²	1	4	yes	—
109	C₁₃×#551	C₂²	1	2	yes	—
110	C₁₃×#551	C₂²	1	2	yes	—
111	C₁₃×#551	C₂²	1	4	yes	—
112	C₁₃×#551	C₂²	1	4	yes	—
113	C₁₃×#551	C₂²	1	4	yes	complemented
114	C₁₃×#551	C₂²	1	2	yes	complemented
115	C₁₃×#551	C₂²	1	2	yes	complemented
116	C₁₃×#551	C₂²	1	4	yes	complemented
117	C₁₃×#551	C₂²	1	4	yes	complemented
118	C₁₃×#551	C₂²	1	4	yes	complemented
119	C₁₃×#551	C₂²	1	4	yes	complemented
120	D₄×Q₈×C₁₃	C₂²	1	2	yes	—
121	D₄×Q₈×C₁₃	C₂²	1	2	yes	complemented
122	D₄×Q₈×C₁₃	C₂²	1	2	yes	complemented
123	D₄×Q₈×C₁₃	C₂²	1	2	yes	complemented
124	D₄×Q₈×C₁₃	C₂²	1	2	yes	complemented
125	C₁₃×#548	C₂²	1	2	yes	—
126	C₁₃×#548	C₂²	1	2	yes	—
127	C₁₃×#548	C₂²	1	2	yes	—
128	C₁₃×#548	C₂²	1	2	yes	complemented
129	C₁₃×#547	C₂²	1	2	yes	—
130	C₁₃×#546	C₂²	1	2	yes	—
131	C₁₃×#546	C₂²	1	2	yes	complemented
132	C₁₃×#544	C₂²	1	4	yes	complemented
133	C₁₃×#544	C₂²	1	4	yes	complemented
134	C₁₃×#544	C₂²	1	4	yes	complemented
135	C₁₃×#544	C₂²	1	2	yes	complemented
136	C₁₃×#544	C₂²	1	2	yes	complemented
137	C₁₃×#543	C₂²	1	4	yes	complemented
138	C₁₃×#542	C₂²	1	2	yes	—
139	C₁₃×#542	C₂²	1	4	yes	—
140	C₁₃×#542	C₂²	1	2	yes	—
141	C₁₃×#542	C₂²	1	2	yes	—
142	C₁₃×#542	C₂²	1	4	yes	—
143	C₁₃×#542	C₂²	1	4	yes	—
144	C₁₃×#542	C₂²	1	4	yes	—
145	C₁₃×#542	C₂²	1	2	yes	—
146	C₁₃×#542	C₂²	1	2	yes	—
147	C₁₃×#542	C₂²	1	4	yes	complemented
148	C₁₃×#542	C₂²	1	4	yes	complemented
149	C₁₃×#542	C₂²	1	2	yes	complemented
150	C₁₃×#542	C₂²	1	4	yes	complemented
151	C₁₃×#542	C₂²	1	4	yes	complemented
152	C₁₃×#542	C₂²	1	4	yes	complemented
153	C₁₃×#542	C₂²	1	4	yes	complemented
154	C₁₃×#542	C₂²	1	4	yes	complemented
155	C₁₃×#542	C₂²	1	4	yes	complemented
156	C₁₃×#542	C₂²	1	2	yes	complemented
157	C₁₃×#542	C₂²	1	4	yes	complemented
158	C₁₃×#542	C₂²	1	4	yes	complemented
159	C₁₃×#542	C₂²	1	2	yes	complemented
160	C₁₃×#541	C₂²	1	2	yes	complemented
161	C₁₃×#541	C₂²	1	4	yes	complemented
162	C₁₃×#541	C₂²	1	4	yes	complemented
163	C₁₃×#541	C₂²	1	2	yes	complemented
164	C₁₃×#541	C₂²	1	2	yes	complemented
165	C₁₃×#541	C₂²	1	2	yes	complemented
166	C₁₃×#541	C₂²	1	2	yes	complemented
167	C₁₃×#541	C₂²	1	2	yes	complemented
168	C₁₃×#541	C₂²	1	4	yes	complemented
169	C₁₃×#541	C₂²	1	4	yes	complemented
170	C₁₃×#541	C₂²	1	4	yes	complemented
171	C₁₃×#541	C₂²	1	2	yes	complemented
172	C₁₃×#541	C₂²	1	4	yes	complemented
173	C₁₃×#541	C₂²	1	4	yes	complemented
174	C₁₃×#541	C₂²	1	4	yes	complemented
175	C₁₃×#541	C₂²	1	4	yes	complemented
176	C₁₃×#541	C₂²	1	4	yes	complemented
177	C₁₃×#541	C₂²	1	4	yes	complemented
178	C₁₃×#540	C₂²	1	4	yes	—
179	C₁₃×#540	C₂²	1	2	yes	—
180	C₁₃×#539	C₂²	1	4	yes	—
181	C₁₃×#539	C₂²	1	2	yes	—
182	C₁₃×#539	C₂²	1	4	yes	complemented
183	C₁₃×#539	C₂²	1	4	yes	complemented
184	C₁₃×#539	C₂²	1	4	yes	complemented
185	C₁₃×#539	C₂²	1	4	yes	complemented
186	C₁₃×#539	C₂²	1	2	yes	complemented
187	C₁₃×#539	C₂²	1	4	yes	complemented
188	C₁₃×#539	C₂²	1	4	yes	complemented
189	C₁₃×#539	C₂²	1	4	yes	complemented
190	C₁₃×#538	C₂²	1	4	yes	—
191	C₁₃×#538	C₂²	1	4	yes	—
192	C₁₃×#538	C₂²	1	4	yes	—
193	C₁₃×#538	C₂²	1	4	yes	—
194	C₁₃×#538	C₂²	1	2	yes	—
195	C₁₃×#538	C₂²	1	4	yes	complemented
196	C₁₃×#538	C₂²	1	4	yes	complemented
197	C₁₃×#538	C₂²	1	2	yes	complemented
198	C₁₃×#537	C₂²	1	2	yes	—
199	C₁₃×#536	C₂²	1	1	yes	characteristic
200	C₁₃×#536	C₂²	1	1	yes	characteristic
201	C₁₃×#536	C₂²	1	1	yes	characteristic
202	C₁₃×#536	C₂²	1	2	yes	—
203	C₁₃×#536	C₂²	1	2	yes	complemented
204	C₁₃×#536	C₂²	1	2	yes	complemented
205	C₁₃×#535	C₂²	1	1	yes	characteristic
206	C₁₃×#533	C₂²	1	2	yes	complemented
207	C₁₃×#533	C₂²	1	4	yes	complemented
208	C₁₃×#533	C₂²	1	4	yes	complemented
209	C₁₃×#533	C₂²	1	2	yes	complemented
210	C₁₃×#533	C₂²	1	1	yes	characteristic, complemented
211	C₁₃×#533	C₂²	1	1	yes	characteristic, complemented
212	C₁₃×#533	C₂²	1	2	yes	complemented
213	C₁₃×#533	C₂²	1	4	yes	complemented
214	C₁₃×#533	C₂²	1	1	yes	characteristic, complemented
215	C₁₃×#533	C₂²	1	2	yes	complemented
216	C₁₃×#532	C₂²	1	1	yes	characteristic
217	C₂×C₁₃×C₄⋊Q₈	C₂²	1	1	yes	characteristic, complemented
218	C₁₃×#529	C₂²	1	2	yes	—
219	C₁₃×#529	C₂²	1	4	yes	—
220	C₁₃×#529	C₂²	1	4	yes	—
221	C₁₃×#529	C₂²	1	2	yes	—
222	C₁₃×#529	C₂²	1	2	yes	—
223	C₁₃×#529	C₂²	1	2	yes	—
224	C₁₃×#529	C₂²	1	4	yes	complemented
225	C₁₃×#529	C₂²	1	2	yes	complemented
226	C₁₃×#529	C₂²	1	2	yes	complemented
227	C₁₃×#529	C₂²	1	2	yes	complemented
228	C₁₃×#529	C₂²	1	2	yes	complemented
229	C₁₃×#529	C₂²	1	4	yes	complemented
230	C₁₃×#529	C₂²	1	4	yes	complemented
231	C₁₃×#529	C₂²	1	4	yes	complemented
232	C₁₃×#529	C₂²	1	4	yes	complemented
233	C₁₃×#529	C₂²	1	4	yes	complemented
234	C₂×C₁₃×#126	C₂²	1	4	yes	complemented
235	C₂×C₁₃×#124	C₂²	1	1	yes	characteristic, complemented
236	C₁₃×#525	C₂²	1	1	yes	characteristic
237	C₁₃×#525	C₂²	1	2	yes	—
238	C₁₃×#525	C₂²	1	1	yes	characteristic, complemented
239	C₂×C₁₃×C₂²⋊Q₈	C₂²	1	2	yes	complemented
240	C₁₃×#520	C₂²	1	2	yes	—
241	C₁₃×#519	C₂²	1	1	yes	characteristic, complemented
242	C₁₃×#519	C₂²	1	2	yes	complemented
243	C₁₃×#519	C₂²	1	1	yes	characteristic, complemented
244	C₁₃×#519	C₂²	1	1	yes	characteristic, complemented
245	C₁₃×#518	C₂²	1	1	yes	characteristic, complemented
246	C₄×C₁₃×#41	C₂²	1	1	yes	characteristic
247	C₄×C₁₃×#41	C₂²	1	2	yes	complemented
248	C₄×C₁₃×#41	C₂²	1	1	yes	characteristic, complemented
249	C₂×C₄×Q₈×C₁₃	C₂²	1	2	yes	complemented
250	C₂×C₁₃×#117	C₂²	1	1	yes	characteristic, complemented
251	C₂×C₁₃×#41	C₂³	1	1	yes	characteristic
252	C₂×C₁₃×#41	C₂³	1	1	yes	characteristic
253	C₂×C₁₃×#41	C₂³	1	2	yes	—
254	C₂×C₁₃×#41	C₂³	1	2	yes	—
255	C₂²×Q₈×C₁₃	C₂³	1	2	yes	—
256	C₂²×Q₈×C₁₃	C₂³	1	2	yes	—
257	C₂²×Q₈×C₁₃	C₂³	1	1	yes	characteristic
258	C₂²×Q₈×C₁₃	C₂³	1	1	yes	characteristic
259	C₂²×Q₈×C₁₃	C₂³	1	1	yes	characteristic
260	C₂²×D₄×C₁₃	C₂³	1	1	yes	characteristic
261	C₂³×C₄×C₁₃	C₂³	1	1	yes	characteristic
262	C₁₃×C₄⋊Q₈	C₂³	1	2	yes	—
263	C₁₃×C₄⋊Q₈	C₂³	1	2	yes	—
264	C₁₃×C₄⋊Q₈	C₂³	1	4	yes	—
265	C₁₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
266	C₁₃×C₄⋊Q₈	C₂³	1	2	yes	—
267	C₁₃×C₄⋊Q₈	C₂³	1	2	yes	—
268	C₁₃×C₄⋊Q₈	C₂³	1	2	yes	—
269	C₁₃×C₄⋊Q₈	C₂³	1	4	yes	—
270	C₁₃×C₄⋊Q₈	C₂³	1	2	yes	—
271	C₁₃×C₄⋊Q₈	C₂³	1	4	yes	—
272	C₁₃×C₄⋊Q₈	C₂³	1	2	yes	—
273	C₁₃×C₄⋊Q₈	C₂³	1	2	yes	—
274	C₁₃×C₄⋊Q₈	C₂³	1	2	yes	—
275	C₁₃×C₄⋊Q₈	C₂³	1	4	yes	—
276	C₁₃×C₄⋊Q₈	C₂³	1	4	yes	—
277	C₁₃×C₄⋊Q₈	C₂³	1	4	yes	—
278	C₁₃×C₄⋊Q₈	C₂³	1	4	yes	—
279	C₁₃×C₄⋊Q₈	C₂³	1	2	yes	—
280	C₁₃×C₄⋊Q₈	C₂³	1	2	yes	—
281	C₁₃×C₄⋊Q₈	C₂³	1	2	yes	—
282	C₁₃×C₄⋊Q₈	C₂³	1	4	yes	—
283	C₁₃×C₄⋊Q₈	C₂³	1	4	yes	—
284	C₁₃×C₄⋊Q₈	C₂³	1	4	yes	—
285	C₁₃×C₄⋊Q₈	C₂³	1	4	yes	—
286	C₁₃×C₄⋊Q₈	C₂³	1	4	yes	—
287	C₁₃×C₄⋊Q₈	C₂³	1	4	yes	—
288	C₁₃×C₄⋊Q₈	C₂³	1	4	yes	—
289	C₁₃×#127	C₂³	1	1	yes	characteristic
290	C₁₃×#127	C₂³	1	2	yes	—
291	C₁₃×#126	C₂³	1	2	yes	—
292	C₁₃×#126	C₂³	1	4	yes	—
293	C₁₃×#126	C₂³	1	4	yes	—
294	C₁₃×#126	C₂³	1	4	yes	—
295	C₁₃×#126	C₂³	1	4	yes	—
296	C₁₃×#126	C₂³	1	4	yes	—
297	C₁₃×#126	C₂³	1	4	yes	—
298	C₁₃×#126	C₂³	1	4	yes	—
299	C₁₃×#126	C₂³	1	2	yes	—
300	C₁₃×#126	C₂³	1	2	yes	—
301	C₁₃×#126	C₂³	1	2	yes	—
302	C₁₃×#126	C₂³	1	4	yes	—
303	C₁₃×#126	C₂³	1	4	yes	—
304	C₁₃×#126	C₂³	1	4	yes	—
305	C₁₃×#126	C₂³	1	4	yes	—
306	C₁₃×#126	C₂³	1	4	yes	—
307	C₁₃×#126	C₂³	1	2	yes	—
308	C₁₃×#126	C₂³	1	2	yes	—
309	C₁₃×#126	C₂³	1	4	yes	—
310	C₁₃×#126	C₂³	1	4	yes	—
311	C₁₃×#126	C₂³	1	4	yes	—
312	C₁₃×#126	C₂³	1	2	yes	—
313	C₁₃×#126	C₂³	1	4	yes	—
314	C₁₃×#126	C₂³	1	4	yes	—
315	C₁₃×#126	C₂³	1	4	yes	—
316	C₁₃×#126	C₂³	1	2	yes	—
317	C₁₃×#126	C₂³	1	4	yes	—
318	C₁₃×#126	C₂³	1	4	yes	—
319	C₁₃×#126	C₂³	1	4	yes	—
320	C₁₃×#126	C₂³	1	4	yes	—
321	C₁₃×#126	C₂³	1	4	yes	—
322	C₁₃×#126	C₂³	1	4	yes	—
323	C₁₃×#126	C₂³	1	4	yes	—
324	C₁₃×#126	C₂³	1	4	yes	—
325	C₁₃×#126	C₂³	1	4	yes	—
326	C₁₃×#126	C₂³	1	4	yes	—
327	C₁₃×#126	C₂³	1	4	yes	—
328	C₁₃×#126	C₂³	1	4	yes	—
329	C₁₃×#126	C₂³	1	4	yes	—
330	C₁₃×#126	C₂³	1	4	yes	—
331	C₁₃×#126	C₂³	1	4	yes	—
332	C₁₃×#126	C₂³	1	4	yes	—
333	C₁₃×#126	C₂³	1	4	yes	—
334	C₁₃×#126	C₂³	1	4	yes	—
335	C₁₃×#126	C₂³	1	4	yes	—
336	C₁₃×#126	C₂³	1	4	yes	—
337	C₁₃×#126	C₂³	1	4	yes	—
338	C₁₃×#126	C₂³	1	4	yes	—
339	C₁₃×#126	C₂³	1	4	yes	—
340	C₁₃×#126	C₂³	1	4	yes	—
341	C₁₃×#125	C₂³	1	2	yes	—
342	C₁₃×#125	C₂³	1	4	yes	—
343	C₁₃×#125	C₂³	1	2	yes	—
344	C₁₃×#125	C₂³	1	2	yes	—
345	C₁₃×#125	C₂³	1	4	yes	—
346	C₁₃×#125	C₂³	1	2	yes	—
347	C₁₃×#125	C₂³	1	2	yes	—
348	C₁₃×#125	C₂³	1	4	yes	—
349	C₁₃×#125	C₂³	1	2	yes	—
350	C₁₃×#125	C₂³	1	4	yes	—
351	C₁₃×#125	C₂³	1	4	yes	—
352	C₁₃×#125	C₂³	1	4	yes	—
353	C₁₃×#125	C₂³	1	4	yes	—
354	C₁₃×#125	C₂³	1	4	yes	—
355	C₁₃×#125	C₂³	1	2	yes	—
356	C₁₃×#125	C₂³	1	4	yes	—
357	C₁₃×#125	C₂³	1	4	yes	—
358	C₁₃×#125	C₂³	1	4	yes	—
359	C₁₃×#125	C₂³	1	2	yes	—
360	C₁₃×#125	C₂³	1	4	yes	—
361	C₁₃×#125	C₂³	1	4	yes	—
362	C₁₃×#125	C₂³	1	2	yes	—
363	C₁₃×#125	C₂³	1	4	yes	—
364	C₁₃×#125	C₂³	1	4	yes	—
365	C₁₃×#125	C₂³	1	4	yes	—
366	C₁₃×#125	C₂³	1	4	yes	—
367	C₁₃×#125	C₂³	1	4	yes	—
368	C₁₃×#125	C₂³	1	4	yes	—
369	C₁₃×#125	C₂³	1	4	yes	—
370	C₁₃×#125	C₂³	1	4	yes	—
371	C₁₃×#125	C₂³	1	4	yes	—
372	C₁₃×#125	C₂³	1	4	yes	—
373	C₁₃×#125	C₂³	1	4	yes	—
374	C₁₃×#125	C₂³	1	4	yes	—
375	C₁₃×#125	C₂³	1	4	yes	—
376	C₁₃×#125	C₂³	1	4	yes	—
377	C₁₃×#125	C₂³	1	4	yes	—
378	C₁₃×#125	C₂³	1	4	yes	—
379	C₁₃×#125	C₂³	1	4	yes	—
380	C₁₃×#124	C₂³	1	2	yes	—
381	C₁₃×#124	C₂³	1	2	yes	—
382	C₁₃×#124	C₂³	1	4	yes	—
383	C₁₃×#124	C₂³	1	2	yes	—
384	C₁₃×#124	C₂³	1	2	yes	—
385	C₁₃×#124	C₂³	1	4	yes	—
386	C₁₃×#124	C₂³	1	4	yes	—
387	C₁₃×#124	C₂³	1	2	yes	—
388	C₁₃×#124	C₂³	1	2	yes	—
389	C₁₃×#124	C₂³	1	4	yes	—
390	C₁₃×#124	C₂³	1	2	yes	—
391	C₁₃×#124	C₂³	1	2	yes	—
392	C₁₃×#124	C₂³	1	4	yes	—
393	C₁₃×#124	C₂³	1	4	yes	—
394	C₁₃×#124	C₂³	1	4	yes	—
395	C₁₃×#124	C₂³	1	4	yes	—
396	C₁₃×#124	C₂³	1	1	yes	characteristic
397	C₁₃×#124	C₂³	1	1	yes	characteristic
398	C₁₃×#124	C₂³	1	2	yes	—
399	C₁₃×#124	C₂³	1	2	yes	—
400	C₁₃×#124	C₂³	1	2	yes	—
401	C₁₃×#124	C₂³	1	2	yes	—
402	C₁₃×#124	C₂³	1	4	yes	—
403	C₁₃×#124	C₂³	1	4	yes	—
404	C₁₃×#124	C₂³	1	4	yes	—
405	C₁₃×#124	C₂³	1	4	yes	—
406	C₁₃×#124	C₂³	1	4	yes	—
407	C₁₃×#124	C₂³	1	4	yes	—
408	C₁₃×#124	C₂³	1	4	yes	—
409	C₁₃×#124	C₂³	1	4	yes	—
410	C₁₃×#124	C₂³	1	4	yes	—
411	C₁₃×#124	C₂³	1	4	yes	—
412	C₁₃×#123	C₂³	1	4	yes	—
413	C₁₃×#123	C₂³	1	1	yes	characteristic
414	C₁₃×#123	C₂³	1	1	yes	characteristic
415	C₁₃×#123	C₂³	1	2	yes	—
416	C₁₃×#123	C₂³	1	4	yes	—
417	C₁₃×#123	C₂³	1	2	yes	—
418	C₁₃×#123	C₂³	1	4	yes	—
419	C₁₃×#123	C₂³	1	4	yes	—
420	C₁₃×#123	C₂³	1	2	yes	—
421	C₁₃×#123	C₂³	1	4	yes	—
422	C₁₃×#123	C₂³	1	2	yes	—
423	C₁₃×#123	C₂³	1	2	yes	—
424	C₁₃×#123	C₂³	1	4	yes	—
425	C₁₃×#123	C₂³	1	4	yes	—
426	C₁₃×#123	C₂³	1	4	yes	—
427	C₁₃×#123	C₂³	1	2	yes	—
428	C₁₃×#123	C₂³	1	2	yes	—
429	C₁₃×#123	C₂³	1	4	yes	—
430	C₁₃×#123	C₂³	1	4	yes	—
431	C₁₃×#123	C₂³	1	4	yes	—
432	C₁₃×#123	C₂³	1	4	yes	—
433	C₁₃×#123	C₂³	1	2	yes	—
434	C₁₃×#123	C₂³	1	2	yes	—
435	C₁₃×#123	C₂³	1	4	yes	—
436	C₁₃×#123	C₂³	1	4	yes	—
437	C₁₃×#123	C₂³	1	4	yes	—
438	C₁₃×#123	C₂³	1	4	yes	—
439	C₁₃×#123	C₂³	1	4	yes	—
440	C₁₃×#123	C₂³	1	2	yes	—
441	C₁₃×#123	C₂³	1	4	yes	—
442	C₁₃×#123	C₂³	1	2	yes	—
443	C₁₃×#123	C₂³	1	2	yes	—
444	C₁₃×#123	C₂³	1	4	yes	—
445	C₁₃×#123	C₂³	1	2	yes	—
446	C₁₃×#123	C₂³	1	2	yes	—
447	C₁₃×#123	C₂³	1	2	yes	—
448	C₁₃×#123	C₂³	1	4	yes	—
449	C₁₃×#123	C₂³	1	4	yes	—
450	C₁₃×#123	C₂³	1	4	yes	—
451	C₁₃×#123	C₂³	1	4	yes	—
452	C₁₃×#123	C₂³	1	4	yes	—
453	C₁₃×#123	C₂³	1	4	yes	—
454	C₁₃×#123	C₂³	1	4	yes	—
455	C₁₃×#123	C₂³	1	4	yes	—
456	C₁₃×C₂²⋊Q₈	C₂³	1	2	yes	—
457	C₁₃×C₂²⋊Q₈	C₂³	1	2	yes	—
458	C₁₃×C₂²⋊Q₈	C₂³	1	4	yes	—
459	C₁₃×C₂²⋊Q₈	C₂³	1	4	yes	—
460	C₁₃×C₂²⋊Q₈	C₂³	1	2	yes	—
461	C₁₃×C₂²⋊Q₈	C₂³	1	2	yes	—
462	C₁₃×C₂²⋊Q₈	C₂³	1	2	yes	—
463	C₁₃×C₂²⋊Q₈	C₂³	1	2	yes	—
464	C₁₃×C₂²⋊Q₈	C₂³	1	2	yes	—
465	C₁₃×C₂²⋊Q₈	C₂³	1	2	yes	—
466	C₁₃×C₂²⋊Q₈	C₂³	1	2	yes	—
467	C₁₃×C₂²⋊Q₈	C₂³	1	4	yes	—
468	C₁₃×C₂²⋊Q₈	C₂³	1	2	yes	—
469	C₁₃×C₂²⋊Q₈	C₂³	1	4	yes	—
470	C₁₃×C₂²⋊Q₈	C₂³	1	2	yes	—
471	C₁₃×C₂²⋊Q₈	C₂³	1	4	yes	—
472	C₁₃×C₂²⋊Q₈	C₂³	1	2	yes	—
473	C₁₃×C₂²⋊Q₈	C₂³	1	2	yes	—
474	C₁₃×C₂²⋊Q₈	C₂³	1	4	yes	—
475	C₁₃×C₂²⋊Q₈	C₂³	1	2	yes	—
476	C₁₃×C₂²⋊Q₈	C₂³	1	4	yes	—
477	C₁₃×C₂²⋊Q₈	C₂³	1	4	yes	—
478	C₁₃×C₂²⋊Q₈	C₂³	1	4	yes	—
479	C₁₃×C₂²⋊Q₈	C₂³	1	4	yes	—
480	C₁₃×C₂²⋊Q₈	C₂³	1	2	yes	—
481	C₁₃×C₂²⋊Q₈	C₂³	1	2	yes	—
482	C₁₃×C₂²⋊Q₈	C₂³	1	2	yes	—
483	C₁₃×C₂²⋊Q₈	C₂³	1	4	yes	—
484	C₁₃×C₂²⋊Q₈	C₂³	1	2	yes	—
485	C₁₃×C₂²⋊Q₈	C₂³	1	4	yes	—
486	C₁₃×C₂²⋊Q₈	C₂³	1	4	yes	—
487	C₁₃×C₂²⋊Q₈	C₂³	1	2	yes	—
488	C₁₃×C₂²⋊Q₈	C₂³	1	4	yes	—
489	C₁₃×C₂²⋊Q₈	C₂³	1	4	yes	—
490	C₁₃×C₂²⋊Q₈	C₂³	1	2	yes	—
491	C₁₃×C₂²⋊Q₈	C₂³	1	4	yes	—
492	C₁₃×C₂²⋊Q₈	C₂³	1	4	yes	—
493	C₁₃×C₂²⋊Q₈	C₂³	1	4	yes	—
494	C₁₃×C₂²⋊Q₈	C₂³	1	4	yes	—
495	C₁₃×C₂²⋊Q₈	C₂³	1	4	yes	—
496	C₁₃×C₂²⋊Q₈	C₂³	1	4	yes	—
497	C₁₃×C₂²⋊Q₈	C₂³	1	4	yes	—
498	C₁₃×C₂²⋊Q₈	C₂³	1	4	yes	—
499	C₁₃×C₂²⋊Q₈	C₂³	1	4	yes	—
500	C₁₃×C₂²⋊Q₈	C₂³	1	4	yes	—
501	C₁₃×C₂²⋊Q₈	C₂³	1	4	yes	—
502	C₁₃×C₂²⋊Q₈	C₂³	1	4	yes	—
503	C₁₃×C₂²⋊Q₈	C₂³	1	4	yes	—
504	C₁₃×C₂²⋊Q₈	C₂³	1	4	yes	—
505	C₁₃×C₂²⋊Q₈	C₂³	1	4	yes	—
506	C₁₃×C₂²⋊Q₈	C₂³	1	4	yes	—
507	C₁₃×C₂²⋊Q₈	C₂³	1	4	yes	—
508	C₁₃×C₂²⋊Q₈	C₂³	1	4	yes	—
509	C₁₃×C₂²⋊Q₈	C₂³	1	4	yes	—
510	C₁₃×C₂²⋊Q₈	C₂³	1	4	yes	—
511	C₁₃×C₂²⋊Q₈	C₂³	1	4	yes	—
512	C₁₃×C₂²⋊Q₈	C₂³	1	4	yes	—
513	C₁₃×C₂²⋊Q₈	C₂³	1	4	yes	—
514	C₁₃×C₂²⋊Q₈	C₂³	1	4	yes	—
515	C₁₃×C₂²⋊Q₈	C₂³	1	4	yes	—
516	C₁₃×C₂²⋊Q₈	C₂³	1	4	yes	—
517	C₁₃×C₂²⋊Q₈	C₂³	1	4	yes	—
518	C₁₃×C₂²⋊Q₈	C₂³	1	4	yes	—
519	C₁₃×C₂²⋊Q₈	C₂³	1	4	yes	—
520	C₁₃×C₂²⋊Q₈	C₂³	1	4	yes	—
521	C₁₃×#121	C₂³	1	2	yes	—
522	C₁₃×#121	C₂³	1	2	yes	—
523	C₁₃×#121	C₂³	1	2	yes	—
524	C₁₃×#121	C₂³	1	2	yes	—
525	C₁₃×#121	C₂³	1	2	yes	—
526	C₁₃×#121	C₂³	1	2	yes	—
527	C₁₃×#121	C₂³	1	4	yes	—
528	C₁₃×#121	C₂³	1	2	yes	—
529	C₁₃×#121	C₂³	1	4	yes	—
530	C₁₃×#121	C₂³	1	4	yes	—
531	C₁₃×#121	C₂³	1	4	yes	—
532	C₁₃×#121	C₂³	1	2	yes	—
533	C₁₃×#121	C₂³	1	4	yes	—
534	C₁₃×#121	C₂³	1	4	yes	—
535	C₁₃×#121	C₂³	1	2	yes	—
536	C₁₃×#121	C₂³	1	2	yes	—
537	C₁₃×#121	C₂³	1	4	yes	—
538	C₁₃×#121	C₂³	1	2	yes	—
539	C₁₃×#121	C₂³	1	2	yes	—
540	C₁₃×#121	C₂³	1	4	yes	—
541	C₁₃×#121	C₂³	1	4	yes	—
542	C₁₃×#121	C₂³	1	4	yes	—
543	C₁₃×#121	C₂³	1	4	yes	—
544	C₁₃×#121	C₂³	1	4	yes	—
545	C₁₃×#121	C₂³	1	4	yes	—
546	C₁₃×#120	C₂³	1	1	yes	characteristic
547	C₁₃×#120	C₂³	1	1	yes	characteristic
548	C₁₃×#120	C₂³	1	4	yes	—
549	C₁₃×#120	C₂³	1	2	yes	—
550	C₁₃×#120	C₂³	1	2	yes	—
551	C₁₃×#120	C₂³	1	2	yes	—
552	C₁₃×#120	C₂³	1	4	yes	—
553	C₁₃×#120	C₂³	1	4	yes	—
554	C₄×Q₈×C₁₃	C₂³	1	2	yes	—
555	C₄×Q₈×C₁₃	C₂³	1	2	yes	—
556	C₄×Q₈×C₁₃	C₂³	1	4	yes	—
557	C₄×Q₈×C₁₃	C₂³	1	2	yes	—
558	C₄×Q₈×C₁₃	C₂³	1	2	yes	—
559	C₄×Q₈×C₁₃	C₂³	1	4	yes	—
560	C₄×Q₈×C₁₃	C₂³	1	2	yes	—
561	C₄×Q₈×C₁₃	C₂³	1	2	yes	—
562	C₄×Q₈×C₁₃	C₂³	1	2	yes	—
563	C₄×Q₈×C₁₃	C₂³	1	2	yes	—
564	C₄×Q₈×C₁₃	C₂³	1	2	yes	—
565	C₄×Q₈×C₁₃	C₂³	1	4	yes	—
566	C₄×Q₈×C₁₃	C₂³	1	2	yes	—
567	C₄×Q₈×C₁₃	C₂³	1	2	yes	—
568	C₄×Q₈×C₁₃	C₂³	1	2	yes	—
569	C₄×Q₈×C₁₃	C₂³	1	4	yes	—
570	C₄×Q₈×C₁₃	C₂³	1	4	yes	—
571	C₄×Q₈×C₁₃	C₂³	1	2	yes	—
572	C₄×Q₈×C₁₃	C₂³	1	4	yes	—
573	C₄×Q₈×C₁₃	C₂³	1	4	yes	—
574	C₄×Q₈×C₁₃	C₂³	1	2	yes	—
575	C₄×Q₈×C₁₃	C₂³	1	2	yes	—
576	C₄×Q₈×C₁₃	C₂³	1	2	yes	—
577	C₄×Q₈×C₁₃	C₂³	1	4	yes	—
578	C₄×Q₈×C₁₃	C₂³	1	4	yes	—
579	C₄×Q₈×C₁₃	C₂³	1	4	yes	—
580	C₄×Q₈×C₁₃	C₂³	1	4	yes	—
581	C₄×Q₈×C₁₃	C₂³	1	4	yes	—
582	C₄×Q₈×C₁₃	C₂³	1	4	yes	—
583	C₄×Q₈×C₁₃	C₂³	1	4	yes	—
584	C₄×Q₈×C₁₃	C₂³	1	4	yes	—
585	C₄×Q₈×C₁₃	C₂³	1	4	yes	—
586	C₄×Q₈×C₁₃	C₂³	1	4	yes	—
587	C₄×Q₈×C₁₃	C₂³	1	4	yes	—
588	C₄×Q₈×C₁₃	C₂³	1	4	yes	—
589	C₄×Q₈×C₁₃	C₂³	1	4	yes	—
590	C₄×Q₈×C₁₃	C₂³	1	4	yes	—
591	C₄×D₄×C₁₃	C₂³	1	2	yes	—
592	C₄×D₄×C₁₃	C₂³	1	2	yes	—
593	C₄×D₄×C₁₃	C₂³	1	2	yes	—
594	C₄×D₄×C₁₃	C₂³	1	2	yes	—
595	C₄×D₄×C₁₃	C₂³	1	4	yes	—
596	C₄×D₄×C₁₃	C₂³	1	2	yes	—
597	C₄×D₄×C₁₃	C₂³	1	2	yes	—
598	C₄×D₄×C₁₃	C₂³	1	2	yes	—
599	C₄×D₄×C₁₃	C₂³	1	4	yes	—
600	C₄×D₄×C₁₃	C₂³	1	2	yes	—
601	C₄×D₄×C₁₃	C₂³	1	4	yes	—
602	C₄×D₄×C₁₃	C₂³	1	2	yes	—
603	C₄×D₄×C₁₃	C₂³	1	4	yes	—
604	C₄×D₄×C₁₃	C₂³	1	2	yes	—
605	C₄×D₄×C₁₃	C₂³	1	4	yes	—
606	C₄×D₄×C₁₃	C₂³	1	2	yes	—
607	C₄×D₄×C₁₃	C₂³	1	2	yes	—
608	C₄×D₄×C₁₃	C₂³	1	4	yes	—
609	C₄×D₄×C₁₃	C₂³	1	4	yes	—
610	C₄×D₄×C₁₃	C₂³	1	2	yes	—
611	C₄×D₄×C₁₃	C₂³	1	2	yes	—
612	C₄×D₄×C₁₃	C₂³	1	2	yes	—
613	C₄×D₄×C₁₃	C₂³	1	4	yes	—
614	C₄×D₄×C₁₃	C₂³	1	4	yes	—
615	C₄×D₄×C₁₃	C₂³	1	4	yes	—
616	C₄×D₄×C₁₃	C₂³	1	4	yes	—
617	C₄×D₄×C₁₃	C₂³	1	4	yes	—
618	C₄×D₄×C₁₃	C₂³	1	4	yes	—
619	C₄×D₄×C₁₃	C₂³	1	4	yes	—
620	C₄×D₄×C₁₃	C₂³	1	2	yes	—
621	C₄×D₄×C₁₃	C₂³	1	4	yes	—
622	C₄×D₄×C₁₃	C₂³	1	4	yes	—
623	C₄×D₄×C₁₃	C₂³	1	4	yes	—
624	C₄×D₄×C₁₃	C₂³	1	4	yes	—
625	C₄×D₄×C₁₃	C₂³	1	4	yes	—
626	C₄×D₄×C₁₃	C₂³	1	4	yes	—
627	C₄×D₄×C₁₃	C₂³	1	4	yes	—
628	C₄×D₄×C₁₃	C₂³	1	4	yes	—
629	C₄×D₄×C₁₃	C₂³	1	4	yes	—
630	C₁₃×#117	C₂³	1	2	yes	—
631	C₁₃×#117	C₂³	1	2	yes	—
632	C₁₃×#117	C₂³	1	2	yes	—
633	C₁₃×#117	C₂³	1	2	yes	—
634	C₁₃×#117	C₂³	1	1	yes	characteristic
635	C₁₃×#117	C₂³	1	1	yes	characteristic
636	C₁₃×#117	C₂³	1	1	yes	characteristic
637	C₁₃×#117	C₂³	1	1	yes	characteristic
638	C₁₃×#117	C₂³	1	2	yes	—
639	C₁₃×#117	C₂³	1	2	yes	—
640	C₁₃×#117	C₂³	1	4	yes	—
641	C₁₃×#117	C₂³	1	1	yes	characteristic
642	C₁₃×#117	C₂³	1	2	yes	—
643	C₁₃×#117	C₂³	1	4	yes	—
644	C₁₃×#117	C₂³	1	4	yes	—
645	C₁₃×#117	C₂³	1	4	yes	—
646	C₁₃×#117	C₂³	1	4	yes	—
647	C₁₃×#117	C₂³	1	4	yes	—
648	C₁₃×#117	C₂³	1	1	yes	characteristic
649	C₁₃×#117	C₂³	1	1	yes	characteristic
650	C₁₃×#117	C₂³	1	1	yes	characteristic
651	C₁₃×#117	C₂³	1	4	yes	—
652	C₁₃×#117	C₂³	1	4	yes	—
653	C₁₃×#117	C₂³	1	4	yes	—
654	C₁₃×#117	C₂³	1	4	yes	—
655	C₁₃×#117	C₂³	1	4	yes	—
656	C₁₃×#117	C₂³	1	4	yes	—
657	C₁₃×#117	C₂³	1	4	yes	—
658	C₁₃×#117	C₂³	1	4	yes	—
659	C₁₃×#117	C₂³	1	4	yes	—
660	C₁₃×#117	C₂³	1	4	yes	—
661	C₁₃×#117	C₂³	1	4	yes	—
662	C₁₃×#117	C₂³	1	4	yes	—
663	C₁₃×#117	C₂³	1	4	yes	—
664	C₁₃×#117	C₂³	1	4	yes	—
665	C₁₃×#117	C₂³	1	4	yes	—
666	C₁₃×#117	C₂³	1	4	yes	—
667	C₁₃×#117	C₂³	1	4	yes	—
668	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
669	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
670	C₂×C₁₃×C₄⋊C₄	C₂³	1	4	yes	—
671	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
672	C₂×C₁₃×C₄⋊C₄	C₂³	1	4	yes	—
673	C₂×C₁₃×C₄⋊C₄	C₂³	1	4	yes	—
674	C₂×C₁₃×C₄⋊C₄	C₂³	1	4	yes	—
675	C₂×C₁₃×C₄⋊C₄	C₂³	1	4	yes	—
676	C₂×C₁₃×C₄⋊C₄	C₂³	1	4	yes	—
677	C₂×C₁₃×C₂²⋊C₄	C₂³	1	2	yes	—
678	C₂×C₁₃×C₂²⋊C₄	C₂³	1	4	yes	—
679	C₂×C₁₃×C₂²⋊C₄	C₂³	1	4	yes	—
680	C₂×C₁₃×C₂²⋊C₄	C₂³	1	4	yes	—
681	C₂×C₁₃×C₂²⋊C₄	C₂³	1	4	yes	—
682	C₂×C₁₃×C₂²⋊C₄	C₂³	1	4	yes	—
683	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
684	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
685	C₂×C₄²×C₁₃	C₂³	1	2	yes	—
686	C₂×C₄²×C₁₃	C₂³	1	4	yes	—
687	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
688	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
689	C₂×C₄²×C₁₃	C₂³	1	4	yes	—
690	#62891	C₁₃	1	1	yes	maximal, characteristic, direct product factor, Sylow
691	C₂⁴×C₁₃	C₂⁴	1	2	yes	—
692	C₂⁴×C₁₃	C₂⁴	1	1	yes	characteristic
693	C₁₃×#41	—	4	2	no	—
694	C₁₃×#41	—	4	2	no	—
695	C₁₃×#41	—	4	4	no	—
696	C₁₃×#41	—	4	4	no	—
697	C₂×Q₈×C₁₃	—	4	4	no	—
698	C₂×Q₈×C₁₃	—	4	2	no	—
699	C₂×Q₈×C₁₃	—	4	2	no	—
700	C₂×Q₈×C₁₃	—	4	2	no	—
701	C₂×Q₈×C₁₃	—	4	4	no	—
702	C₂×Q₈×C₁₃	C₂⁴	1	2	yes	—
703	C₂×Q₈×C₁₃	C₂⁴	1	2	yes	—
704	C₂×Q₈×C₁₃	C₂⁴	1	2	yes	—
705	C₂×Q₈×C₁₃	C₂⁴	1	2	yes	—
706	C₂×Q₈×C₁₃	C₂⁴	1	2	yes	—
707	C₂×Q₈×C₁₃	C₂⁴	1	4	yes	—
708	C₂×Q₈×C₁₃	C₂⁴	1	4	yes	—
709	C₂×Q₈×C₁₃	C₂⁴	1	4	yes	—
710	C₂×Q₈×C₁₃	C₂⁴	1	4	yes	—
711	C₂×Q₈×C₁₃	C₂⁴	1	4	yes	—
712	C₂×Q₈×C₁₃	C₂⁴	1	4	yes	—
713	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
714	C₂×Q₈×C₁₃	C₂⁴	1	2	yes	—
715	C₂×Q₈×C₁₃	C₂⁴	1	2	yes	—
716	C₂×Q₈×C₁₃	C₂⁴	1	2	yes	—
717	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
718	C₂×D₄×C₁₃	—	4	2	no	—
719	C₂×D₄×C₁₃	C₂⁴	1	2	yes	—
720	C₂×D₄×C₁₃	C₂⁴	1	2	yes	—
721	C₂×D₄×C₁₃	C₂⁴	1	4	yes	—
722	C₂×D₄×C₁₃	C₂⁴	1	2	yes	—
723	C₂×D₄×C₁₃	C₂⁴	1	4	yes	—
724	C₂×D₄×C₁₃	C₂⁴	1	2	yes	—
725	C₂×D₄×C₁₃	C₂⁴	1	2	yes	—
726	C₂×D₄×C₁₃	C₂⁴	1	4	yes	—
727	C₂×D₄×C₁₃	C₂⁴	1	2	yes	—
728	C₂×D₄×C₁₃	C₂⁴	1	4	yes	—
729	C₂×D₄×C₁₃	C₂⁴	1	2	yes	—
730	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
731	C₂×D₄×C₁₃	C₂⁴	1	4	yes	—
732	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
733	C₂×D₄×C₁₃	C₂⁴	1	2	yes	—
734	C₂×D₄×C₁₃	C₂⁴	1	4	yes	—
735	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
736	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
737	C₂×D₄×C₁₃	C₂⁴	1	2	yes	—
738	C₂²×C₄×C₁₃	—	4	2	no	—
739	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
740	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
741	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
742	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
743	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
744	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
745	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
746	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
747	C₂²×C₄×C₁₃	C₂⁴	1	4	yes	—
748	C₂²×C₄×C₁₃	C₂⁴	1	4	yes	—
749	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
750	C₂²×C₄×C₁₃	C₂⁴	1	4	yes	—
751	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
752	C₂²×C₄×C₁₃	C₂⁴	1	4	yes	—
753	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
754	C₂²×C₄×C₁₃	C₂⁴	1	4	yes	—
755	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
756	C₂²×C₄×C₁₃	C₂⁴	1	4	yes	—
757	C₂²×C₄×C₁₃	C₂⁴	1	4	yes	—
758	C₂²×C₄×C₁₃	C₂⁴	1	4	yes	—
759	C₂²×C₄×C₁₃	C₂⁴	1	4	yes	—
760	C₂²×C₄×C₁₃	C₂⁴	1	4	yes	—
761	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
762	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
763	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
764	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
765	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
766	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
767	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
768	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
769	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
770	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
771	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
772	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
773	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
774	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
775	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
776	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
777	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
778	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
779	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
780	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
781	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
782	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
783	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
784	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
785	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
786	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
787	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
788	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
789	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
790	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
791	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
792	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
793	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
794	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
795	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
796	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
797	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
798	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
799	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
800	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
801	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
802	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
803	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
804	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
805	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
806	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
807	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
808	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
809	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
810	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
811	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
812	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
813	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
814	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
815	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
816	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
817	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
818	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
819	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
820	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
821	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
822	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
823	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
824	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
825	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
826	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
827	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
828	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
829	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
830	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
831	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
832	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
833	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
834	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
835	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
836	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
837	C₁₃×C₂²⋊C₄	C₂⁴	1	2	yes	—
838	C₁₃×C₂²⋊C₄	C₂⁴	1	2	yes	—
839	C₁₃×C₂²⋊C₄	C₂⁴	1	2	yes	—
840	C₁₃×C₂²⋊C₄	C₂⁴	1	2	yes	—
841	C₁₃×C₂²⋊C₄	C₂⁴	1	2	yes	—
842	C₁₃×C₂²⋊C₄	C₂⁴	1	2	yes	—
843	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
844	C₁₃×C₂²⋊C₄	C₂⁴	1	2	yes	—
845	C₁₃×C₂²⋊C₄	C₂⁴	1	2	yes	—
846	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
847	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
848	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
849	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
850	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
851	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
852	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
853	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
854	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
855	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
856	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
857	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
858	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
859	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
860	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
861	C₁₃×C₂²⋊C₄	C₂⁴	1	2	yes	—
862	C₁₃×C₂²⋊C₄	C₂⁴	1	2	yes	—
863	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
864	C₁₃×C₂²⋊C₄	C₂⁴	1	2	yes	—
865	C₁₃×C₂²⋊C₄	C₂⁴	1	2	yes	—
866	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
867	C₁₃×C₂²⋊C₄	C₂⁴	1	2	yes	—
868	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
869	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
870	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
871	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
872	C₁₃×C₂²⋊C₄	C₂⁴	1	2	yes	—
873	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
874	C₁₃×C₂²⋊C₄	C₂⁴	1	2	yes	—
875	C₁₃×C₂²⋊C₄	C₂⁴	1	2	yes	—
876	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
877	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
878	C₁₃×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
879	C₁₃×C₂²⋊C₄	C₂⁴	1	2	yes	—
880	C₁₃×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
881	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
882	C₁₃×C₂²⋊C₄	C₂⁴	1	2	yes	—
883	C₁₃×C₂²⋊C₄	C₂⁴	1	2	yes	—
884	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
885	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
886	C₁₃×C₂²⋊C₄	C₂⁴	1	2	yes	—
887	C₁₃×C₂²⋊C₄	C₂⁴	1	2	yes	—
888	C₁₃×C₂²⋊C₄	C₂⁴	1	2	yes	—
889	C₁₃×C₂²⋊C₄	C₂⁴	1	2	yes	—
890	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
891	C₁₃×C₂²⋊C₄	C₂⁴	1	2	yes	—
892	C₁₃×C₂²⋊C₄	C₂⁴	1	2	yes	—
893	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
894	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
895	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
896	C₄²×C₁₃	C₂⁴	1	2	yes	—
897	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
898	C₄²×C₁₃	C₂⁴	1	2	yes	—
899	C₄²×C₁₃	C₂⁴	1	4	yes	—
900	C₄²×C₁₃	C₂⁴	1	2	yes	—
901	C₄²×C₁₃	C₂⁴	1	4	yes	—
902	C₄²×C₁₃	C₂⁴	1	4	yes	—
903	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
904	C₄²×C₁₃	C₂⁴	1	2	yes	—
905	C₄²×C₁₃	C₂⁴	1	2	yes	—
906	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
907	C₄²×C₁₃	C₂⁴	1	4	yes	—
908	C₄²×C₁₃	C₂⁴	1	4	yes	—
909	C₄²×C₁₃	C₂⁴	1	4	yes	—
910	C₄²×C₁₃	C₂⁴	1	2	yes	—
911	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
912	C₄²×C₁₃	C₂⁴	1	4	yes	—
913	C₄²×C₁₃	C₂⁴	1	2	yes	—
914	C₄²×C₁₃	C₂⁴	1	4	yes	—
915	C₄²×C₁₃	C₂⁴	1	4	yes	—
916	C₄²×C₁₃	C₂⁴	1	2	yes	—
917	C₄²×C₁₃	C₂⁴	1	4	yes	—
918	C₄²×C₁₃	C₂⁴	1	4	yes	—
919	C₄²×C₁₃	C₂⁴	1	4	yes	—
920	C₄²×C₁₃	C₂⁴	1	2	yes	—
921	C₄²×C₁₃	C₂⁴	1	4	yes	—
922	C₄²×C₁₃	C₂⁴	1	4	yes	—
923	C₄²×C₁₃	C₂⁴	1	2	yes	—
924	C₄²×C₁₃	C₂⁴	1	2	yes	—
925	#3568	C₂×C₁₃	1	4	yes	complemented
926	#3566	C₂×C₁₃	1	4	yes	complemented
927	#3566	C₂×C₁₃	1	4	yes	complemented
928	#3565	C₂×C₁₃	1	2	yes	complemented
929	#3565	C₂×C₁₃	1	4	yes	complemented
930	#3564	C₂×C₁₃	1	4	yes	complemented
931	#3564	C₂×C₁₃	1	4	yes	complemented
932	#3561	C₂×C₁₃	1	2	yes	complemented
933	#3557	C₂×C₁₃	1	4	yes	complemented
934	#3555	C₂×C₁₃	1	2	yes	complemented
935	#3555	C₂×C₁₃	1	2	yes	complemented
936	#3555	C₂×C₁₃	1	4	yes	complemented
937	#3552	C₂×C₁₃	1	2	yes	complemented
938	#3551	C₂×C₁₃	1	1	yes	characteristic, complemented
939	#3550	C₂×C₁₃	1	1	yes	characteristic, complemented
940	#3541	C₂×C₁₃	1	2	yes	complemented
941	#3540	C₂×C₁₃	1	1	yes	characteristic, complemented
942	#3538	C₂×C₁₃	1	1	yes	characteristic, complemented
943	#3523	C₂×C₁₃	1	2	yes	complemented
944	#3521	C₂×C₁₃	1	2	yes	complemented
945	#3518	C₂×C₁₃	1	2	yes	complemented
946	#3516	C₂×C₁₃	1	2	yes	complemented
947	#3510	C₂×C₁₃	1	1	yes	characteristic, complemented
948	#3509	C₂×C₁₃	1	1	yes	characteristic, complemented
949	#3495	C₂×C₁₃	1	2	yes	complemented
950	#3461	C₂×C₁₃	1	2	yes	complemented
951	#3455	C₂×C₁₃	1	1	yes	characteristic, complemented
952	C₂³×C₁₃	—	4	1	no	—
953	C₂³×C₁₃	—	4	2	no	—
954	C₂³×C₁₃	—	4	2	no	—
955	C₂³×C₁₃	—	4	4	no	—
956	C₂³×C₁₃	C₂⁵	1	1	yes	characteristic
957	C₂³×C₁₃	C₂⁵	1	2	yes	—
958	C₂³×C₁₃	C₂⁵	1	1	yes	characteristic
959	C₂³×C₁₃	C₂⁵	1	4	yes	—
960	C₂³×C₁₃	C₂⁵	1	1	yes	characteristic
961	C₂³×C₁₃	C₂⁵	1	2	yes	—
962	Q₈×C₁₃	—	2	4	no	—
963	Q₈×C₁₃	—	2	4	no	—
964	Q₈×C₁₃	—	2	4	no	—
965	Q₈×C₁₃	—	4	4	no	—
966	Q₈×C₁₃	—	4	4	no	—
967	Q₈×C₁₃	—	4	2	no	—
968	Q₈×C₁₃	—	4	2	no	—
969	Q₈×C₁₃	—	4	2	no	—
970	Q₈×C₁₃	—	4	2	no	—
971	Q₈×C₁₃	—	4	2	no	—
972	Q₈×C₁₃	—	4	4	no	—
973	Q₈×C₁₃	—	4	4	no	—
974	Q₈×C₁₃	—	4	4	no	—
975	Q₈×C₁₃	—	4	4	no	—
976	Q₈×C₁₃	—	4	1	no	—
977	Q₈×C₁₃	—	4	1	no	—
978	D₄×C₁₃	—	2	4	no	—
979	D₄×C₁₃	—	4	2	no	—
980	D₄×C₁₃	—	4	2	no	—
981	D₄×C₁₃	—	4	2	no	—
982	D₄×C₁₃	—	4	4	no	—
983	D₄×C₁₃	—	4	2	no	—
984	D₄×C₁₃	—	4	4	no	—
985	D₄×C₁₃	—	4	4	no	—
986	D₄×C₁₃	—	4	2	no	—
987	D₄×C₁₃	—	4	2	no	—
988	D₄×C₁₃	—	4	4	no	—
989	D₄×C₁₃	—	4	2	no	—
990	D₄×C₁₃	—	4	1	no	—
991	D₄×C₁₃	—	4	1	no	—
992	D₄×C₁₃	—	4	2	no	—
993	D₄×C₁₃	—	4	1	no	—
994	D₄×C₁₃	—	4	1	no	—
995	D₄×C₁₃	—	4	4	no	—
996	D₄×C₁₃	—	4	4	no	—
997	C₂×C₄×C₁₃	—	2	4	no	—
998	C₂×C₄×C₁₃	—	2	2	no	—
999	C₂×C₄×C₁₃	—	2	2	no	—
1000	C₂×C₄×C₁₃	—	2	2	no	—
1001	C₂×C₄×C₁₃	—	2	4	no	—
1002	C₂×C₄×C₁₃	—	4	1	no	—
1003	C₂×C₄×C₁₃	—	4	2	no	—
1004	C₂×C₄×C₁₃	—	4	2	no	—
1005	C₂×C₄×C₁₃	—	4	2	no	—
1006	C₂×C₄×C₁₃	—	4	4	no	—
1007	C₂×C₄×C₁₃	—	4	2	no	—
1008	C₂×C₄×C₁₃	—	4	4	no	—
1009	C₂×C₄×C₁₃	—	4	4	no	—
1010	C₂×C₄×C₁₃	—	4	4	no	—
1011	C₂×C₄×C₁₃	—	4	2	no	—
1012	C₂×C₄×C₁₃	—	4	4	no	—
1013	C₂×C₄×C₁₃	—	4	4	no	—
1014	C₂×C₄×C₁₃	—	4	2	no	—
1015	C₂×C₄×C₁₃	—	4	2	no	—
1016	C₂×C₄×C₁₃	—	4	2	no	—
1017	C₂×C₄×C₁₃	—	4	2	no	—
1018	C₂×C₄×C₁₃	—	4	4	no	—
1019	C₂×C₄×C₁₃	—	4	4	no	—
1020	C₂×C₄×C₁₃	—	4	2	no	—
1021	C₂×C₄×C₁₃	—	4	4	no	—
1022	C₂×C₄×C₁₃	—	4	4	no	—
1023	C₂×C₄×C₁₃	C₂⁵	1	2	yes	—
1024	C₂×C₄×C₁₃	C₂⁵	1	2	yes	—
1025	C₂×C₄×C₁₃	C₂⁵	1	4	yes	—
1026	C₂×C₄×C₁₃	C₂⁵	1	2	yes	—
1027	C₂×C₄×C₁₃	C₂⁵	1	1	yes	characteristic
1028	C₂×C₄×C₁₃	C₂⁵	1	4	yes	—
1029	C₂×C₄×C₁₃	C₂⁵	1	2	yes	—
1030	C₂×C₄×C₁₃	C₂⁵	1	1	yes	characteristic
1031	C₂×C₄×C₁₃	C₂⁵	1	2	yes	—
1032	C₂×C₄×C₁₃	C₂⁵	1	2	yes	—
1033	C₂×C₄×C₁₃	C₂⁵	1	4	yes	—
1034	C₂×C₄×C₁₃	C₂⁵	1	4	yes	—
1035	C₂×C₄×C₁₃	C₂⁵	1	2	yes	—
1036	C₂×C₄×C₁₃	C₂⁵	1	4	yes	—
1037	C₂×C₄×C₁₃	C₂⁵	1	2	yes	—
1038	C₂×C₄×C₁₃	C₂⁵	1	2	yes	—
1039	C₂×C₄×C₁₃	C₂⁵	1	4	yes	—
1040	C₂×C₄×C₁₃	C₂⁵	1	4	yes	—
1041	C₂×C₄×C₁₃	C₂⁵	1	1	yes	characteristic
1042	C₂×C₄×C₁₃	C₂⁵	1	2	yes	—
1043	C₂×C₄×C₁₃	C₂⁵	1	1	yes	characteristic
1044	#563	C₂²×C₁₃	1	2	yes	—
1045	#563	C₂²×C₁₃	1	4	yes	—
1046	#563	C₂²×C₁₃	1	2	yes	complemented
1047	#563	C₂²×C₁₃	1	4	yes	complemented
1048	#563	C₂²×C₁₃	1	2	yes	complemented
1049	#563	C₂²×C₁₃	1	2	yes	complemented
1050	#563	C₂²×C₁₃	1	2	yes	complemented
1051	#563	C₂²×C₁₃	1	4	yes	complemented
1052	#563	C₂²×C₁₃	1	4	yes	complemented
1053	#563	C₂²×C₁₃	1	4	yes	complemented
1054	#563	C₂²×C₁₃	1	4	yes	complemented
1055	#563	C₂²×C₁₃	1	4	yes	complemented
1056	#563	C₂²×C₁₃	1	4	yes	complemented
1057	#563	C₂²×C₁₃	1	4	yes	complemented
1058	#562	C₂²×C₁₃	1	4	yes	—
1059	#562	C₂²×C₁₃	1	4	yes	complemented
1060	#562	C₂²×C₁₃	1	4	yes	complemented
1061	H(3,𝔽₄)	C₂²×C₁₃	1	2	yes	—
1062	#560	C₂²×C₁₃	1	2	yes	—
1063	#560	C₂²×C₁₃	1	2	yes	complemented
1064	#559	C₂²×C₁₃	1	4	yes	—
1065	#559	C₂²×C₁₃	1	2	yes	—
1066	#559	C₂²×C₁₃	1	2	yes	complemented
1067	Q₈²	C₂²×C₁₃	1	2	yes	complemented
1068	Q₈²	C₂²×C₁₃	1	2	yes	complemented
1069	#557	C₂²×C₁₃	1	4	yes	complemented
1070	#557	C₂²×C₁₃	1	2	yes	complemented
1071	#557	C₂²×C₁₃	1	2	yes	complemented
1072	#557	C₂²×C₁₃	1	4	yes	complemented
1073	#557	C₂²×C₁₃	1	2	yes	complemented
1074	#557	C₂²×C₁₃	1	4	yes	complemented
1075	#556	C₂²×C₁₃	1	4	yes	—
1076	#556	C₂²×C₁₃	1	2	yes	—
1077	#556	C₂²×C₁₃	1	4	yes	—
1078	#556	C₂²×C₁₃	1	4	yes	complemented
1079	#556	C₂²×C₁₃	1	4	yes	complemented
1080	#556	C₂²×C₁₃	1	2	yes	complemented
1081	#556	C₂²×C₁₃	1	4	yes	complemented
1082	#556	C₂²×C₁₃	1	2	yes	complemented
1083	#556	C₂²×C₁₃	1	2	yes	complemented
1084	#556	C₂²×C₁₃	1	2	yes	complemented
1085	#556	C₂²×C₁₃	1	4	yes	complemented
1086	#556	C₂²×C₁₃	1	4	yes	complemented
1087	#556	C₂²×C₁₃	1	4	yes	complemented
1088	#556	C₂²×C₁₃	1	2	yes	complemented
1089	#556	C₂²×C₁₃	1	2	yes	complemented
1090	#556	C₂²×C₁₃	1	4	yes	complemented
1091	#556	C₂²×C₁₃	1	4	yes	complemented
1092	#556	C₂²×C₁₃	1	4	yes	complemented
1093	#555	C₂²×C₁₃	1	2	yes	—
1094	#555	C₂²×C₁₃	1	4	yes	complemented
1095	#555	C₂²×C₁₃	1	2	yes	complemented
1096	#554	C₂²×C₁₃	1	4	yes	complemented
1097	#554	C₂²×C₁₃	1	2	yes	complemented
1098	#554	C₂²×C₁₃	1	4	yes	complemented
1099	#554	C₂²×C₁₃	1	2	yes	complemented
1100	#554	C₂²×C₁₃	1	4	yes	complemented
1101	#554	C₂²×C₁₃	1	4	yes	complemented
1102	#553	C₂²×C₁₃	1	2	yes	—
1103	#553	C₂²×C₁₃	1	4	yes	—
1104	#553	C₂²×C₁₃	1	2	yes	complemented
1105	#553	C₂²×C₁₃	1	4	yes	complemented
1106	#553	C₂²×C₁₃	1	4	yes	complemented
1107	#553	C₂²×C₁₃	1	4	yes	complemented
1108	#552	C₂²×C₁₃	1	2	yes	—
1109	#552	C₂²×C₁₃	1	4	yes	complemented
1110	#552	C₂²×C₁₃	1	4	yes	complemented
1111	#552	C₂²×C₁₃	1	4	yes	complemented
1112	#552	C₂²×C₁₃	1	4	yes	complemented
1113	#552	C₂²×C₁₃	1	4	yes	complemented
1114	#552	C₂²×C₁₃	1	4	yes	complemented
1115	#552	C₂²×C₁₃	1	2	yes	complemented
1116	#552	C₂²×C₁₃	1	4	yes	complemented
1117	#552	C₂²×C₁₃	1	4	yes	complemented
1118	#552	C₂²×C₁₃	1	2	yes	complemented
1119	#552	C₂²×C₁₃	1	2	yes	complemented
1120	#552	C₂²×C₁₃	1	4	yes	complemented
1121	#552	C₂²×C₁₃	1	4	yes	complemented
1122	#552	C₂²×C₁₃	1	4	yes	complemented
1123	#552	C₂²×C₁₃	1	4	yes	complemented
1124	#551	C₂²×C₁₃	1	4	yes	—
1125	#551	C₂²×C₁₃	1	4	yes	—
1126	#551	C₂²×C₁₃	1	2	yes	—
1127	#551	C₂²×C₁₃	1	2	yes	—
1128	#551	C₂²×C₁₃	1	4	yes	—
1129	#551	C₂²×C₁₃	1	4	yes	complemented
1130	#551	C₂²×C₁₃	1	4	yes	complemented
1131	#551	C₂²×C₁₃	1	4	yes	complemented
1132	#551	C₂²×C₁₃	1	4	yes	complemented
1133	#551	C₂²×C₁₃	1	2	yes	complemented
1134	#551	C₂²×C₁₃	1	2	yes	complemented
1135	#551	C₂²×C₁₃	1	4	yes	complemented
1136	D₄×Q₈	C₂²×C₁₃	1	2	yes	—
1137	D₄×Q₈	C₂²×C₁₃	1	2	yes	complemented
1138	D₄×Q₈	C₂²×C₁₃	1	2	yes	complemented
1139	D₄×Q₈	C₂²×C₁₃	1	2	yes	complemented
1140	D₄×Q₈	C₂²×C₁₃	1	2	yes	complemented
1141	#548	C₂²×C₁₃	1	2	yes	—
1142	#548	C₂²×C₁₃	1	2	yes	—
1143	#548	C₂²×C₁₃	1	2	yes	—
1144	#548	C₂²×C₁₃	1	2	yes	complemented
1145	#547	C₂²×C₁₃	1	2	yes	—
1146	#546	C₂²×C₁₃	1	2	yes	—
1147	#546	C₂²×C₁₃	1	2	yes	complemented
1148	#544	C₂²×C₁₃	1	2	yes	complemented
1149	#544	C₂²×C₁₃	1	2	yes	complemented
1150	#544	C₂²×C₁₃	1	4	yes	complemented
1151	#544	C₂²×C₁₃	1	4	yes	complemented
1152	#544	C₂²×C₁₃	1	4	yes	complemented
1153	#543	C₂²×C₁₃	1	4	yes	complemented
1154	#542	C₂²×C₁₃	1	2	yes	—
1155	#542	C₂²×C₁₃	1	2	yes	—
1156	#542	C₂²×C₁₃	1	2	yes	—
1157	#542	C₂²×C₁₃	1	2	yes	—
1158	#542	C₂²×C₁₃	1	2	yes	—
1159	#542	C₂²×C₁₃	1	4	yes	—
1160	#542	C₂²×C₁₃	1	4	yes	—
1161	#542	C₂²×C₁₃	1	4	yes	—
1162	#542	C₂²×C₁₃	1	4	yes	—
1163	#542	C₂²×C₁₃	1	2	yes	complemented
1164	#542	C₂²×C₁₃	1	4	yes	complemented
1165	#542	C₂²×C₁₃	1	2	yes	complemented
1166	#542	C₂²×C₁₃	1	2	yes	complemented
1167	#542	C₂²×C₁₃	1	4	yes	complemented
1168	#542	C₂²×C₁₃	1	4	yes	complemented
1169	#542	C₂²×C₁₃	1	4	yes	complemented
1170	#542	C₂²×C₁₃	1	4	yes	complemented
1171	#542	C₂²×C₁₃	1	4	yes	complemented
1172	#542	C₂²×C₁₃	1	4	yes	complemented
1173	#542	C₂²×C₁₃	1	4	yes	complemented
1174	#542	C₂²×C₁₃	1	4	yes	complemented
1175	#542	C₂²×C₁₃	1	4	yes	complemented
1176	#541	C₂²×C₁₃	1	2	yes	complemented
1177	#541	C₂²×C₁₃	1	2	yes	complemented
1178	#541	C₂²×C₁₃	1	2	yes	complemented
1179	#541	C₂²×C₁₃	1	4	yes	complemented
1180	#541	C₂²×C₁₃	1	2	yes	complemented
1181	#541	C₂²×C₁₃	1	2	yes	complemented
1182	#541	C₂²×C₁₃	1	2	yes	complemented
1183	#541	C₂²×C₁₃	1	2	yes	complemented
1184	#541	C₂²×C₁₃	1	4	yes	complemented
1185	#541	C₂²×C₁₃	1	4	yes	complemented
1186	#541	C₂²×C₁₃	1	4	yes	complemented
1187	#541	C₂²×C₁₃	1	4	yes	complemented
1188	#541	C₂²×C₁₃	1	4	yes	complemented
1189	#541	C₂²×C₁₃	1	4	yes	complemented
1190	#541	C₂²×C₁₃	1	4	yes	complemented
1191	#541	C₂²×C₁₃	1	4	yes	complemented
1192	#541	C₂²×C₁₃	1	4	yes	complemented
1193	#541	C₂²×C₁₃	1	4	yes	complemented
1194	#540	C₂²×C₁₃	1	2	yes	—
1195	#540	C₂²×C₁₃	1	4	yes	—
1196	#539	C₂²×C₁₃	1	2	yes	—
1197	#539	C₂²×C₁₃	1	4	yes	—
1198	#539	C₂²×C₁₃	1	2	yes	complemented
1199	#539	C₂²×C₁₃	1	4	yes	complemented
1200	#539	C₂²×C₁₃	1	4	yes	complemented
1201	#539	C₂²×C₁₃	1	4	yes	complemented
1202	#539	C₂²×C₁₃	1	4	yes	complemented
1203	#539	C₂²×C₁₃	1	4	yes	complemented
1204	#539	C₂²×C₁₃	1	4	yes	complemented
1205	#539	C₂²×C₁₃	1	4	yes	complemented
1206	#538	C₂²×C₁₃	1	2	yes	—
1207	#538	C₂²×C₁₃	1	4	yes	—
1208	#538	C₂²×C₁₃	1	4	yes	—
1209	#538	C₂²×C₁₃	1	4	yes	—
1210	#538	C₂²×C₁₃	1	4	yes	—
1211	#538	C₂²×C₁₃	1	2	yes	complemented
1212	#538	C₂²×C₁₃	1	4	yes	complemented
1213	#538	C₂²×C₁₃	1	4	yes	complemented
1214	#537	C₂²×C₁₃	1	2	yes	—
1215	#536	C₂²×C₁₃	1	2	yes	—
1216	#536	C₂²×C₁₃	1	1	yes	characteristic
1217	#536	C₂²×C₁₃	1	1	yes	characteristic
1218	#536	C₂²×C₁₃	1	1	yes	characteristic
1219	#536	C₂²×C₁₃	1	2	yes	complemented
1220	#536	C₂²×C₁₃	1	2	yes	complemented
1221	#535	C₂²×C₁₃	1	1	yes	characteristic
1222	#533	C₂²×C₁₃	1	1	yes	characteristic, complemented
1223	#533	C₂²×C₁₃	1	2	yes	complemented
1224	#533	C₂²×C₁₃	1	2	yes	complemented
1225	#533	C₂²×C₁₃	1	4	yes	complemented
1226	#533	C₂²×C₁₃	1	2	yes	complemented
1227	#533	C₂²×C₁₃	1	2	yes	complemented
1228	#533	C₂²×C₁₃	1	1	yes	characteristic, complemented
1229	#533	C₂²×C₁₃	1	1	yes	characteristic, complemented
1230	#533	C₂²×C₁₃	1	4	yes	complemented
1231	#533	C₂²×C₁₃	1	4	yes	complemented
1232	#532	C₂²×C₁₃	1	1	yes	characteristic
1233	C₂×C₄⋊Q₈	C₂²×C₁₃	1	1	yes	characteristic, complemented
1234	#529	C₂²×C₁₃	1	2	yes	—
1235	#529	C₂²×C₁₃	1	2	yes	—
1236	#529	C₂²×C₁₃	1	2	yes	—
1237	#529	C₂²×C₁₃	1	2	yes	—
1238	#529	C₂²×C₁₃	1	4	yes	—
1239	#529	C₂²×C₁₃	1	4	yes	—
1240	#529	C₂²×C₁₃	1	2	yes	complemented
1241	#529	C₂²×C₁₃	1	2	yes	complemented
1242	#529	C₂²×C₁₃	1	2	yes	complemented
1243	#529	C₂²×C₁₃	1	4	yes	complemented
1244	#529	C₂²×C₁₃	1	4	yes	complemented
1245	#529	C₂²×C₁₃	1	4	yes	complemented
1246	#529	C₂²×C₁₃	1	2	yes	complemented
1247	#529	C₂²×C₁₃	1	4	yes	complemented
1248	#529	C₂²×C₁₃	1	4	yes	complemented
1249	#529	C₂²×C₁₃	1	4	yes	complemented
1250	C₂×#126	C₂²×C₁₃	1	4	yes	complemented
1251	C₂×#124	C₂²×C₁₃	1	1	yes	characteristic, complemented
1252	#525	C₂²×C₁₃	1	1	yes	characteristic
1253	#525	C₂²×C₁₃	1	2	yes	—
1254	#525	C₂²×C₁₃	1	1	yes	characteristic, complemented
1255	C₂×C₂²⋊Q₈	C₂²×C₁₃	1	2	yes	complemented
1256	#520	C₂²×C₁₃	1	2	yes	—
1257	#519	C₂²×C₁₃	1	2	yes	complemented
1258	#519	C₂²×C₁₃	1	1	yes	characteristic, complemented
1259	#519	C₂²×C₁₃	1	1	yes	characteristic, complemented
1260	#519	C₂²×C₁₃	1	1	yes	characteristic, complemented
1261	#518	C₂²×C₁₃	1	1	yes	characteristic, complemented
1262	C₄×#41	C₂²×C₁₃	1	1	yes	characteristic
1263	C₄×#41	C₂²×C₁₃	1	1	yes	characteristic, complemented
1264	C₄×#41	C₂²×C₁₃	1	2	yes	complemented
1265	C₂×C₄×Q₈	C₂²×C₁₃	1	2	yes	complemented
1266	C₂×#117	C₂²×C₁₃	1	1	yes	characteristic, complemented
1267	C₂²×C₁₃	—	2	1	no	—
1268	C₂²×C₁₃	—	2	2	no	—
1269	C₂²×C₁₃	—	2	2	no	—
1270	C₂²×C₁₃	—	2	1	no	—
1271	C₂²×C₁₃	—	2	1	no	—
1272	C₂²×C₁₃	—	2	4	no	—
1273	C₂²×C₁₃	—	2	2	no	—
1274	C₂²×C₁₃	—	2	2	no	—
1275	C₂²×C₁₃	—	2	2	no	—
1276	C₂²×C₁₃	—	2	4	no	—
1277	C₂²×C₁₃	—	2	4	no	—
1278	C₂²×C₁₃	—	2	2	no	—
1279	C₂²×C₁₃	—	2	2	no	—
1280	C₂²×C₁₃	—	2	2	no	—
1281	C₂²×C₁₃	—	2	2	no	—
1282	C₂²×C₁₃	—	8	2	no	—
1283	C₂²×C₁₃	—	16	2	no	—
1284	C₂²×C₁₃	C₂⁶	1	1	yes	characteristic
1285	C₄×C₁₃	—	2	2	no	—
1286	C₄×C₁₃	—	2	1	no	—
1287	C₄×C₁₃	—	2	2	no	—
1288	C₄×C₁₃	—	2	1	no	—
1289	C₄×C₁₃	—	2	1	no	—
1290	C₄×C₁₃	—	2	4	no	—
1291	C₄×C₁₃	—	2	4	no	—
1292	C₄×C₁₃	—	2	4	no	—
1293	C₄×C₁₃	—	2	2	no	—
1294	C₄×C₁₃	—	2	2	no	—
1295	C₄×C₁₃	—	2	2	no	—
1296	C₄×C₁₃	—	2	4	no	—
1297	C₄×C₁₃	—	2	4	no	—
1298	C₄×C₁₃	—	2	2	no	—
1299	C₄×C₁₃	—	2	2	no	—
1300	C₄×C₁₃	—	2	4	no	—
1301	C₄×C₁₃	—	2	2	no	—
1302	C₄×C₁₃	—	2	2	no	—
1303	C₄×C₁₃	—	2	4	no	—
1304	C₄×C₁₃	—	2	2	no	—
1305	C₄×C₁₃	#585	1	2	yes	—
1306	C₂×#41	C₂³×C₁₃	1	1	yes	characteristic
1307	C₂×#41	C₂³×C₁₃	1	1	yes	characteristic
1308	C₂×#41	C₂³×C₁₃	1	2	yes	—
1309	C₂×#41	C₂³×C₁₃	1	2	yes	—
1310	C₂²×Q₈	C₂³×C₁₃	1	2	yes	—
1311	C₂²×Q₈	C₂³×C₁₃	1	2	yes	—
1312	C₂²×Q₈	C₂³×C₁₃	1	1	yes	characteristic
1313	C₂²×Q₈	C₂³×C₁₃	1	1	yes	characteristic
1314	C₂²×Q₈	C₂³×C₁₃	1	1	yes	characteristic
1315	C₂²×D₄	C₂³×C₁₃	1	1	yes	characteristic
1316	C₂³×C₄	C₂³×C₁₃	1	1	yes	characteristic
1317	C₄⋊Q₈	C₂³×C₁₃	1	2	yes	—
1318	C₄⋊Q₈	C₂³×C₁₃	1	2	yes	—
1319	C₄⋊Q₈	C₂³×C₁₃	1	4	yes	—
1320	C₄⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
1321	C₄⋊Q₈	C₂³×C₁₃	1	2	yes	—
1322	C₄⋊Q₈	C₂³×C₁₃	1	2	yes	—
1323	C₄⋊Q₈	C₂³×C₁₃	1	2	yes	—
1324	C₄⋊Q₈	C₂³×C₁₃	1	4	yes	—
1325	C₄⋊Q₈	C₂³×C₁₃	1	2	yes	—
1326	C₄⋊Q₈	C₂³×C₁₃	1	4	yes	—
1327	C₄⋊Q₈	C₂³×C₁₃	1	2	yes	—
1328	C₄⋊Q₈	C₂³×C₁₃	1	2	yes	—
1329	C₄⋊Q₈	C₂³×C₁₃	1	2	yes	—
1330	C₄⋊Q₈	C₂³×C₁₃	1	4	yes	—
1331	C₄⋊Q₈	C₂³×C₁₃	1	4	yes	—
1332	C₄⋊Q₈	C₂³×C₁₃	1	4	yes	—
1333	C₄⋊Q₈	C₂³×C₁₃	1	4	yes	—
1334	C₄⋊Q₈	C₂³×C₁₃	1	2	yes	—
1335	C₄⋊Q₈	C₂³×C₁₃	1	2	yes	—
1336	C₄⋊Q₈	C₂³×C₁₃	1	2	yes	—
1337	C₄⋊Q₈	C₂³×C₁₃	1	4	yes	—
1338	C₄⋊Q₈	C₂³×C₁₃	1	4	yes	—
1339	C₄⋊Q₈	C₂³×C₁₃	1	4	yes	—
1340	C₄⋊Q₈	C₂³×C₁₃	1	4	yes	—
1341	C₄⋊Q₈	C₂³×C₁₃	1	4	yes	—
1342	C₄⋊Q₈	C₂³×C₁₃	1	4	yes	—
1343	C₄⋊Q₈	C₂³×C₁₃	1	4	yes	—
1344	#127	C₂³×C₁₃	1	1	yes	characteristic
1345	#127	C₂³×C₁₃	1	2	yes	—
1346	#126	C₂³×C₁₃	1	2	yes	—
1347	#126	C₂³×C₁₃	1	4	yes	—
1348	#126	C₂³×C₁₃	1	4	yes	—
1349	#126	C₂³×C₁₃	1	4	yes	—
1350	#126	C₂³×C₁₃	1	4	yes	—
1351	#126	C₂³×C₁₃	1	4	yes	—
1352	#126	C₂³×C₁₃	1	4	yes	—
1353	#126	C₂³×C₁₃	1	4	yes	—
1354	#126	C₂³×C₁₃	1	2	yes	—
1355	#126	C₂³×C₁₃	1	2	yes	—
1356	#126	C₂³×C₁₃	1	2	yes	—
1357	#126	C₂³×C₁₃	1	4	yes	—
1358	#126	C₂³×C₁₃	1	4	yes	—
1359	#126	C₂³×C₁₃	1	4	yes	—
1360	#126	C₂³×C₁₃	1	4	yes	—
1361	#126	C₂³×C₁₃	1	4	yes	—
1362	#126	C₂³×C₁₃	1	2	yes	—
1363	#126	C₂³×C₁₃	1	2	yes	—
1364	#126	C₂³×C₁₃	1	4	yes	—
1365	#126	C₂³×C₁₃	1	4	yes	—
1366	#126	C₂³×C₁₃	1	4	yes	—
1367	#126	C₂³×C₁₃	1	2	yes	—
1368	#126	C₂³×C₁₃	1	4	yes	—
1369	#126	C₂³×C₁₃	1	4	yes	—
1370	#126	C₂³×C₁₃	1	4	yes	—
1371	#126	C₂³×C₁₃	1	2	yes	—
1372	#126	C₂³×C₁₃	1	4	yes	—
1373	#126	C₂³×C₁₃	1	4	yes	—
1374	#126	C₂³×C₁₃	1	4	yes	—
1375	#126	C₂³×C₁₃	1	4	yes	—
1376	#126	C₂³×C₁₃	1	4	yes	—
1377	#126	C₂³×C₁₃	1	4	yes	—
1378	#126	C₂³×C₁₃	1	4	yes	—
1379	#126	C₂³×C₁₃	1	4	yes	—
1380	#126	C₂³×C₁₃	1	4	yes	—
1381	#126	C₂³×C₁₃	1	4	yes	—
1382	#126	C₂³×C₁₃	1	4	yes	—
1383	#126	C₂³×C₁₃	1	4	yes	—
1384	#126	C₂³×C₁₃	1	4	yes	—
1385	#126	C₂³×C₁₃	1	4	yes	—
1386	#126	C₂³×C₁₃	1	4	yes	—
1387	#126	C₂³×C₁₃	1	4	yes	—
1388	#126	C₂³×C₁₃	1	4	yes	—
1389	#126	C₂³×C₁₃	1	4	yes	—
1390	#126	C₂³×C₁₃	1	4	yes	—
1391	#126	C₂³×C₁₃	1	4	yes	—
1392	#126	C₂³×C₁₃	1	4	yes	—
1393	#126	C₂³×C₁₃	1	4	yes	—
1394	#126	C₂³×C₁₃	1	4	yes	—
1395	#126	C₂³×C₁₃	1	4	yes	—
1396	#125	C₂³×C₁₃	1	2	yes	—
1397	#125	C₂³×C₁₃	1	4	yes	—
1398	#125	C₂³×C₁₃	1	2	yes	—
1399	#125	C₂³×C₁₃	1	2	yes	—
1400	#125	C₂³×C₁₃	1	4	yes	—
1401	#125	C₂³×C₁₃	1	2	yes	—
1402	#125	C₂³×C₁₃	1	2	yes	—
1403	#125	C₂³×C₁₃	1	4	yes	—
1404	#125	C₂³×C₁₃	1	2	yes	—
1405	#125	C₂³×C₁₃	1	4	yes	—
1406	#125	C₂³×C₁₃	1	4	yes	—
1407	#125	C₂³×C₁₃	1	4	yes	—
1408	#125	C₂³×C₁₃	1	4	yes	—
1409	#125	C₂³×C₁₃	1	4	yes	—
1410	#125	C₂³×C₁₃	1	2	yes	—
1411	#125	C₂³×C₁₃	1	4	yes	—
1412	#125	C₂³×C₁₃	1	4	yes	—
1413	#125	C₂³×C₁₃	1	4	yes	—
1414	#125	C₂³×C₁₃	1	2	yes	—
1415	#125	C₂³×C₁₃	1	4	yes	—
1416	#125	C₂³×C₁₃	1	4	yes	—
1417	#125	C₂³×C₁₃	1	2	yes	—
1418	#125	C₂³×C₁₃	1	4	yes	—
1419	#125	C₂³×C₁₃	1	4	yes	—
1420	#125	C₂³×C₁₃	1	4	yes	—
1421	#125	C₂³×C₁₃	1	4	yes	—
1422	#125	C₂³×C₁₃	1	4	yes	—
1423	#125	C₂³×C₁₃	1	4	yes	—
1424	#125	C₂³×C₁₃	1	4	yes	—
1425	#125	C₂³×C₁₃	1	4	yes	—
1426	#125	C₂³×C₁₃	1	4	yes	—
1427	#125	C₂³×C₁₃	1	4	yes	—
1428	#125	C₂³×C₁₃	1	4	yes	—
1429	#125	C₂³×C₁₃	1	4	yes	—
1430	#125	C₂³×C₁₃	1	4	yes	—
1431	#125	C₂³×C₁₃	1	4	yes	—
1432	#125	C₂³×C₁₃	1	4	yes	—
1433	#125	C₂³×C₁₃	1	4	yes	—
1434	#125	C₂³×C₁₃	1	4	yes	—
1435	#124	C₂³×C₁₃	1	2	yes	—
1436	#124	C₂³×C₁₃	1	2	yes	—
1437	#124	C₂³×C₁₃	1	4	yes	—
1438	#124	C₂³×C₁₃	1	2	yes	—
1439	#124	C₂³×C₁₃	1	2	yes	—
1440	#124	C₂³×C₁₃	1	4	yes	—
1441	#124	C₂³×C₁₃	1	4	yes	—
1442	#124	C₂³×C₁₃	1	2	yes	—
1443	#124	C₂³×C₁₃	1	2	yes	—
1444	#124	C₂³×C₁₃	1	4	yes	—
1445	#124	C₂³×C₁₃	1	2	yes	—
1446	#124	C₂³×C₁₃	1	2	yes	—
1447	#124	C₂³×C₁₃	1	4	yes	—
1448	#124	C₂³×C₁₃	1	4	yes	—
1449	#124	C₂³×C₁₃	1	4	yes	—
1450	#124	C₂³×C₁₃	1	4	yes	—
1451	#124	C₂³×C₁₃	1	1	yes	characteristic
1452	#124	C₂³×C₁₃	1	1	yes	characteristic
1453	#124	C₂³×C₁₃	1	2	yes	—
1454	#124	C₂³×C₁₃	1	2	yes	—
1455	#124	C₂³×C₁₃	1	2	yes	—
1456	#124	C₂³×C₁₃	1	2	yes	—
1457	#124	C₂³×C₁₃	1	4	yes	—
1458	#124	C₂³×C₁₃	1	4	yes	—
1459	#124	C₂³×C₁₃	1	4	yes	—
1460	#124	C₂³×C₁₃	1	4	yes	—
1461	#124	C₂³×C₁₃	1	4	yes	—
1462	#124	C₂³×C₁₃	1	4	yes	—
1463	#124	C₂³×C₁₃	1	4	yes	—
1464	#124	C₂³×C₁₃	1	4	yes	—
1465	#124	C₂³×C₁₃	1	4	yes	—
1466	#124	C₂³×C₁₃	1	4	yes	—
1467	#123	C₂³×C₁₃	1	4	yes	—
1468	#123	C₂³×C₁₃	1	1	yes	characteristic
1469	#123	C₂³×C₁₃	1	1	yes	characteristic
1470	#123	C₂³×C₁₃	1	2	yes	—
1471	#123	C₂³×C₁₃	1	4	yes	—
1472	#123	C₂³×C₁₃	1	2	yes	—
1473	#123	C₂³×C₁₃	1	4	yes	—
1474	#123	C₂³×C₁₃	1	4	yes	—
1475	#123	C₂³×C₁₃	1	2	yes	—
1476	#123	C₂³×C₁₃	1	4	yes	—
1477	#123	C₂³×C₁₃	1	2	yes	—
1478	#123	C₂³×C₁₃	1	2	yes	—
1479	#123	C₂³×C₁₃	1	4	yes	—
1480	#123	C₂³×C₁₃	1	4	yes	—
1481	#123	C₂³×C₁₃	1	4	yes	—
1482	#123	C₂³×C₁₃	1	2	yes	—
1483	#123	C₂³×C₁₃	1	2	yes	—
1484	#123	C₂³×C₁₃	1	4	yes	—
1485	#123	C₂³×C₁₃	1	4	yes	—
1486	#123	C₂³×C₁₃	1	4	yes	—
1487	#123	C₂³×C₁₃	1	4	yes	—
1488	#123	C₂³×C₁₃	1	2	yes	—
1489	#123	C₂³×C₁₃	1	2	yes	—
1490	#123	C₂³×C₁₃	1	4	yes	—
1491	#123	C₂³×C₁₃	1	4	yes	—
1492	#123	C₂³×C₁₃	1	4	yes	—
1493	#123	C₂³×C₁₃	1	4	yes	—
1494	#123	C₂³×C₁₃	1	4	yes	—
1495	#123	C₂³×C₁₃	1	2	yes	—
1496	#123	C₂³×C₁₃	1	4	yes	—
1497	#123	C₂³×C₁₃	1	2	yes	—
1498	#123	C₂³×C₁₃	1	2	yes	—
1499	#123	C₂³×C₁₃	1	4	yes	—
1500	#123	C₂³×C₁₃	1	2	yes	—
1501	#123	C₂³×C₁₃	1	2	yes	—
1502	#123	C₂³×C₁₃	1	2	yes	—
1503	#123	C₂³×C₁₃	1	4	yes	—
1504	#123	C₂³×C₁₃	1	4	yes	—
1505	#123	C₂³×C₁₃	1	4	yes	—
1506	#123	C₂³×C₁₃	1	4	yes	—
1507	#123	C₂³×C₁₃	1	4	yes	—
1508	#123	C₂³×C₁₃	1	4	yes	—
1509	#123	C₂³×C₁₃	1	4	yes	—
1510	#123	C₂³×C₁₃	1	4	yes	—
1511	C₂²⋊Q₈	C₂³×C₁₃	1	2	yes	—
1512	C₂²⋊Q₈	C₂³×C₁₃	1	2	yes	—
1513	C₂²⋊Q₈	C₂³×C₁₃	1	4	yes	—
1514	C₂²⋊Q₈	C₂³×C₁₃	1	4	yes	—
1515	C₂²⋊Q₈	C₂³×C₁₃	1	2	yes	—
1516	C₂²⋊Q₈	C₂³×C₁₃	1	2	yes	—
1517	C₂²⋊Q₈	C₂³×C₁₃	1	2	yes	—
1518	C₂²⋊Q₈	C₂³×C₁₃	1	2	yes	—
1519	C₂²⋊Q₈	C₂³×C₁₃	1	2	yes	—
1520	C₂²⋊Q₈	C₂³×C₁₃	1	2	yes	—
1521	C₂²⋊Q₈	C₂³×C₁₃	1	2	yes	—
1522	C₂²⋊Q₈	C₂³×C₁₃	1	4	yes	—
1523	C₂²⋊Q₈	C₂³×C₁₃	1	2	yes	—
1524	C₂²⋊Q₈	C₂³×C₁₃	1	4	yes	—
1525	C₂²⋊Q₈	C₂³×C₁₃	1	2	yes	—
1526	C₂²⋊Q₈	C₂³×C₁₃	1	4	yes	—
1527	C₂²⋊Q₈	C₂³×C₁₃	1	2	yes	—
1528	C₂²⋊Q₈	C₂³×C₁₃	1	2	yes	—
1529	C₂²⋊Q₈	C₂³×C₁₃	1	4	yes	—
1530	C₂²⋊Q₈	C₂³×C₁₃	1	2	yes	—
1531	C₂²⋊Q₈	C₂³×C₁₃	1	4	yes	—
1532	C₂²⋊Q₈	C₂³×C₁₃	1	4	yes	—
1533	C₂²⋊Q₈	C₂³×C₁₃	1	4	yes	—
1534	C₂²⋊Q₈	C₂³×C₁₃	1	4	yes	—
1535	C₂²⋊Q₈	C₂³×C₁₃	1	2	yes	—
1536	C₂²⋊Q₈	C₂³×C₁₃	1	2	yes	—
1537	C₂²⋊Q₈	C₂³×C₁₃	1	2	yes	—
1538	C₂²⋊Q₈	C₂³×C₁₃	1	4	yes	—
1539	C₂²⋊Q₈	C₂³×C₁₃	1	2	yes	—
1540	C₂²⋊Q₈	C₂³×C₁₃	1	4	yes	—
1541	C₂²⋊Q₈	C₂³×C₁₃	1	4	yes	—
1542	C₂²⋊Q₈	C₂³×C₁₃	1	2	yes	—
1543	C₂²⋊Q₈	C₂³×C₁₃	1	4	yes	—
1544	C₂²⋊Q₈	C₂³×C₁₃	1	4	yes	—
1545	C₂²⋊Q₈	C₂³×C₁₃	1	2	yes	—
1546	C₂²⋊Q₈	C₂³×C₁₃	1	4	yes	—
1547	C₂²⋊Q₈	C₂³×C₁₃	1	4	yes	—
1548	C₂²⋊Q₈	C₂³×C₁₃	1	4	yes	—
1549	C₂²⋊Q₈	C₂³×C₁₃	1	4	yes	—
1550	C₂²⋊Q₈	C₂³×C₁₃	1	4	yes	—
1551	C₂²⋊Q₈	C₂³×C₁₃	1	4	yes	—
1552	C₂²⋊Q₈	C₂³×C₁₃	1	4	yes	—
1553	C₂²⋊Q₈	C₂³×C₁₃	1	4	yes	—
1554	C₂²⋊Q₈	C₂³×C₁₃	1	4	yes	—
1555	C₂²⋊Q₈	C₂³×C₁₃	1	4	yes	—
1556	C₂²⋊Q₈	C₂³×C₁₃	1	4	yes	—
1557	C₂²⋊Q₈	C₂³×C₁₃	1	4	yes	—
1558	C₂²⋊Q₈	C₂³×C₁₃	1	4	yes	—
1559	C₂²⋊Q₈	C₂³×C₁₃	1	4	yes	—
1560	C₂²⋊Q₈	C₂³×C₁₃	1	4	yes	—
1561	C₂²⋊Q₈	C₂³×C₁₃	1	4	yes	—
1562	C₂²⋊Q₈	C₂³×C₁₃	1	4	yes	—
1563	C₂²⋊Q₈	C₂³×C₁₃	1	4	yes	—
1564	C₂²⋊Q₈	C₂³×C₁₃	1	4	yes	—
1565	C₂²⋊Q₈	C₂³×C₁₃	1	4	yes	—
1566	C₂²⋊Q₈	C₂³×C₁₃	1	4	yes	—
1567	C₂²⋊Q₈	C₂³×C₁₃	1	4	yes	—
1568	C₂²⋊Q₈	C₂³×C₁₃	1	4	yes	—
1569	C₂²⋊Q₈	C₂³×C₁₃	1	4	yes	—
1570	C₂²⋊Q₈	C₂³×C₁₃	1	4	yes	—
1571	C₂²⋊Q₈	C₂³×C₁₃	1	4	yes	—
1572	C₂²⋊Q₈	C₂³×C₁₃	1	4	yes	—
1573	C₂²⋊Q₈	C₂³×C₁₃	1	4	yes	—
1574	C₂²⋊Q₈	C₂³×C₁₃	1	4	yes	—
1575	C₂²⋊Q₈	C₂³×C₁₃	1	4	yes	—
1576	#121	C₂³×C₁₃	1	2	yes	—
1577	#121	C₂³×C₁₃	1	2	yes	—
1578	#121	C₂³×C₁₃	1	2	yes	—
1579	#121	C₂³×C₁₃	1	2	yes	—
1580	#121	C₂³×C₁₃	1	2	yes	—
1581	#121	C₂³×C₁₃	1	2	yes	—
1582	#121	C₂³×C₁₃	1	4	yes	—
1583	#121	C₂³×C₁₃	1	2	yes	—
1584	#121	C₂³×C₁₃	1	4	yes	—
1585	#121	C₂³×C₁₃	1	4	yes	—
1586	#121	C₂³×C₁₃	1	4	yes	—
1587	#121	C₂³×C₁₃	1	2	yes	—
1588	#121	C₂³×C₁₃	1	4	yes	—
1589	#121	C₂³×C₁₃	1	4	yes	—
1590	#121	C₂³×C₁₃	1	2	yes	—
1591	#121	C₂³×C₁₃	1	2	yes	—
1592	#121	C₂³×C₁₃	1	4	yes	—
1593	#121	C₂³×C₁₃	1	2	yes	—
1594	#121	C₂³×C₁₃	1	2	yes	—
1595	#121	C₂³×C₁₃	1	4	yes	—
1596	#121	C₂³×C₁₃	1	4	yes	—
1597	#121	C₂³×C₁₃	1	4	yes	—
1598	#121	C₂³×C₁₃	1	4	yes	—
1599	#121	C₂³×C₁₃	1	4	yes	—
1600	#121	C₂³×C₁₃	1	4	yes	—
1601	#120	C₂³×C₁₃	1	1	yes	characteristic
1602	#120	C₂³×C₁₃	1	1	yes	characteristic
1603	#120	C₂³×C₁₃	1	4	yes	—
1604	#120	C₂³×C₁₃	1	2	yes	—
1605	#120	C₂³×C₁₃	1	2	yes	—
1606	#120	C₂³×C₁₃	1	2	yes	—
1607	#120	C₂³×C₁₃	1	4	yes	—
1608	#120	C₂³×C₁₃	1	4	yes	—
1609	C₄×Q₈	C₂³×C₁₃	1	2	yes	—
1610	C₄×Q₈	C₂³×C₁₃	1	2	yes	—
1611	C₄×Q₈	C₂³×C₁₃	1	4	yes	—
1612	C₄×Q₈	C₂³×C₁₃	1	2	yes	—
1613	C₄×Q₈	C₂³×C₁₃	1	2	yes	—
1614	C₄×Q₈	C₂³×C₁₃	1	4	yes	—
1615	C₄×Q₈	C₂³×C₁₃	1	2	yes	—
1616	C₄×Q₈	C₂³×C₁₃	1	2	yes	—
1617	C₄×Q₈	C₂³×C₁₃	1	2	yes	—
1618	C₄×Q₈	C₂³×C₁₃	1	2	yes	—
1619	C₄×Q₈	C₂³×C₁₃	1	2	yes	—
1620	C₄×Q₈	C₂³×C₁₃	1	4	yes	—
1621	C₄×Q₈	C₂³×C₁₃	1	2	yes	—
1622	C₄×Q₈	C₂³×C₁₃	1	2	yes	—
1623	C₄×Q₈	C₂³×C₁₃	1	2	yes	—
1624	C₄×Q₈	C₂³×C₁₃	1	4	yes	—
1625	C₄×Q₈	C₂³×C₁₃	1	4	yes	—
1626	C₄×Q₈	C₂³×C₁₃	1	2	yes	—
1627	C₄×Q₈	C₂³×C₁₃	1	4	yes	—
1628	C₄×Q₈	C₂³×C₁₃	1	4	yes	—
1629	C₄×Q₈	C₂³×C₁₃	1	2	yes	—
1630	C₄×Q₈	C₂³×C₁₃	1	2	yes	—
1631	C₄×Q₈	C₂³×C₁₃	1	2	yes	—
1632	C₄×Q₈	C₂³×C₁₃	1	4	yes	—
1633	C₄×Q₈	C₂³×C₁₃	1	4	yes	—
1634	C₄×Q₈	C₂³×C₁₃	1	4	yes	—
1635	C₄×Q₈	C₂³×C₁₃	1	4	yes	—
1636	C₄×Q₈	C₂³×C₁₃	1	4	yes	—
1637	C₄×Q₈	C₂³×C₁₃	1	4	yes	—
1638	C₄×Q₈	C₂³×C₁₃	1	4	yes	—
1639	C₄×Q₈	C₂³×C₁₃	1	4	yes	—
1640	C₄×Q₈	C₂³×C₁₃	1	4	yes	—
1641	C₄×Q₈	C₂³×C₁₃	1	4	yes	—
1642	C₄×Q₈	C₂³×C₁₃	1	4	yes	—
1643	C₄×Q₈	C₂³×C₁₃	1	4	yes	—
1644	C₄×Q₈	C₂³×C₁₃	1	4	yes	—
1645	C₄×Q₈	C₂³×C₁₃	1	4	yes	—
1646	C₄×D₄	C₂³×C₁₃	1	2	yes	—
1647	C₄×D₄	C₂³×C₁₃	1	2	yes	—
1648	C₄×D₄	C₂³×C₁₃	1	2	yes	—
1649	C₄×D₄	C₂³×C₁₃	1	2	yes	—
1650	C₄×D₄	C₂³×C₁₃	1	2	yes	—
1651	C₄×D₄	C₂³×C₁₃	1	4	yes	—
1652	C₄×D₄	C₂³×C₁₃	1	2	yes	—
1653	C₄×D₄	C₂³×C₁₃	1	2	yes	—
1654	C₄×D₄	C₂³×C₁₃	1	4	yes	—
1655	C₄×D₄	C₂³×C₁₃	1	2	yes	—
1656	C₄×D₄	C₂³×C₁₃	1	4	yes	—
1657	C₄×D₄	C₂³×C₁₃	1	2	yes	—
1658	C₄×D₄	C₂³×C₁₃	1	4	yes	—
1659	C₄×D₄	C₂³×C₁₃	1	2	yes	—
1660	C₄×D₄	C₂³×C₁₃	1	4	yes	—
1661	C₄×D₄	C₂³×C₁₃	1	2	yes	—
1662	C₄×D₄	C₂³×C₁₃	1	2	yes	—
1663	C₄×D₄	C₂³×C₁₃	1	4	yes	—
1664	C₄×D₄	C₂³×C₁₃	1	4	yes	—
1665	C₄×D₄	C₂³×C₁₃	1	2	yes	—
1666	C₄×D₄	C₂³×C₁₃	1	2	yes	—
1667	C₄×D₄	C₂³×C₁₃	1	2	yes	—
1668	C₄×D₄	C₂³×C₁₃	1	4	yes	—
1669	C₄×D₄	C₂³×C₁₃	1	4	yes	—
1670	C₄×D₄	C₂³×C₁₃	1	4	yes	—
1671	C₄×D₄	C₂³×C₁₃	1	4	yes	—
1672	C₄×D₄	C₂³×C₁₃	1	4	yes	—
1673	C₄×D₄	C₂³×C₁₃	1	4	yes	—
1674	C₄×D₄	C₂³×C₁₃	1	4	yes	—
1675	C₄×D₄	C₂³×C₁₃	1	2	yes	—
1676	C₄×D₄	C₂³×C₁₃	1	4	yes	—
1677	C₄×D₄	C₂³×C₁₃	1	4	yes	—
1678	C₄×D₄	C₂³×C₁₃	1	4	yes	—
1679	C₄×D₄	C₂³×C₁₃	1	4	yes	—
1680	C₄×D₄	C₂³×C₁₃	1	4	yes	—
1681	C₄×D₄	C₂³×C₁₃	1	4	yes	—
1682	C₄×D₄	C₂³×C₁₃	1	4	yes	—
1683	C₄×D₄	C₂³×C₁₃	1	4	yes	—
1684	C₄×D₄	C₂³×C₁₃	1	4	yes	—
1685	#117	C₂³×C₁₃	1	2	yes	—
1686	#117	C₂³×C₁₃	1	2	yes	—
1687	#117	C₂³×C₁₃	1	2	yes	—
1688	#117	C₂³×C₁₃	1	2	yes	—
1689	#117	C₂³×C₁₃	1	1	yes	characteristic
1690	#117	C₂³×C₁₃	1	1	yes	characteristic
1691	#117	C₂³×C₁₃	1	1	yes	characteristic
1692	#117	C₂³×C₁₃	1	1	yes	characteristic
1693	#117	C₂³×C₁₃	1	2	yes	—
1694	#117	C₂³×C₁₃	1	2	yes	—
1695	#117	C₂³×C₁₃	1	4	yes	—
1696	#117	C₂³×C₁₃	1	1	yes	characteristic
1697	#117	C₂³×C₁₃	1	2	yes	—
1698	#117	C₂³×C₁₃	1	4	yes	—
1699	#117	C₂³×C₁₃	1	4	yes	—
1700	#117	C₂³×C₁₃	1	4	yes	—
1701	#117	C₂³×C₁₃	1	4	yes	—
1702	#117	C₂³×C₁₃	1	4	yes	—
1703	#117	C₂³×C₁₃	1	1	yes	characteristic
1704	#117	C₂³×C₁₃	1	1	yes	characteristic
1705	#117	C₂³×C₁₃	1	1	yes	characteristic
1706	#117	C₂³×C₁₃	1	4	yes	—
1707	#117	C₂³×C₁₃	1	4	yes	—
1708	#117	C₂³×C₁₃	1	4	yes	—
1709	#117	C₂³×C₁₃	1	4	yes	—
1710	#117	C₂³×C₁₃	1	4	yes	—
1711	#117	C₂³×C₁₃	1	4	yes	—
1712	#117	C₂³×C₁₃	1	4	yes	—
1713	#117	C₂³×C₁₃	1	4	yes	—
1714	#117	C₂³×C₁₃	1	4	yes	—
1715	#117	C₂³×C₁₃	1	4	yes	—
1716	#117	C₂³×C₁₃	1	4	yes	—
1717	#117	C₂³×C₁₃	1	4	yes	—
1718	#117	C₂³×C₁₃	1	4	yes	—
1719	#117	C₂³×C₁₃	1	4	yes	—
1720	#117	C₂³×C₁₃	1	4	yes	—
1721	#117	C₂³×C₁₃	1	4	yes	—
1722	#117	C₂³×C₁₃	1	4	yes	—
1723	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
1724	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
1725	C₂×C₄⋊C₄	C₂³×C₁₃	1	4	yes	—
1726	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
1727	C₂×C₄⋊C₄	C₂³×C₁₃	1	4	yes	—
1728	C₂×C₄⋊C₄	C₂³×C₁₃	1	4	yes	—
1729	C₂×C₄⋊C₄	C₂³×C₁₃	1	4	yes	—
1730	C₂×C₄⋊C₄	C₂³×C₁₃	1	4	yes	—
1731	C₂×C₄⋊C₄	C₂³×C₁₃	1	4	yes	—
1732	C₂×C₂²⋊C₄	C₂³×C₁₃	1	2	yes	—
1733	C₂×C₂²⋊C₄	C₂³×C₁₃	1	4	yes	—
1734	C₂×C₂²⋊C₄	C₂³×C₁₃	1	4	yes	—
1735	C₂×C₂²⋊C₄	C₂³×C₁₃	1	4	yes	—
1736	C₂×C₂²⋊C₄	C₂³×C₁₃	1	4	yes	—
1737	C₂×C₂²⋊C₄	C₂³×C₁₃	1	4	yes	—
1738	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
1739	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
1740	C₂×C₄²	C₂³×C₁₃	1	2	yes	—
1741	C₂×C₄²	C₂³×C₁₃	1	4	yes	—
1742	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
1743	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
1744	C₂×C₄²	C₂³×C₁₃	1	4	yes	—
1745	C₂×C₁₃	—	4	1	no	—
1746	C₂×C₁₃	—	4	2	no	—
1747	C₂×C₁₃	—	4	2	no	—
1748	C₂×C₁₃	—	4	1	no	—
1749	C₂×C₁₃	—	4	4	no	—
1750	C₂×C₁₃	—	4	1	no	—
1751	C₂×C₁₃	C₂×#585	1	1	yes	characteristic
1752	C₂×C₁₃	2₋¹⁺⁶	1	2	yes	—
1753	C₂⁴	C₂⁴×C₁₃	1	2	yes	—
1754	C₂⁴	C₂⁴×C₁₃	1	1	yes	characteristic
1755	#41	—	4	2	no	—
1756	#41	—	4	2	no	—
1757	#41	—	4	4	no	—
1758	#41	—	4	4	no	—
1759	C₂×Q₈	—	4	4	no	—
1760	C₂×Q₈	—	4	2	no	—
1761	C₂×Q₈	—	4	2	no	—
1762	C₂×Q₈	—	4	2	no	—
1763	C₂×Q₈	—	4	4	no	—
1764	C₂×Q₈	C₂⁴×C₁₃	1	2	yes	—
1765	C₂×Q₈	C₂⁴×C₁₃	1	2	yes	—
1766	C₂×Q₈	C₂⁴×C₁₃	1	2	yes	—
1767	C₂×Q₈	C₂⁴×C₁₃	1	2	yes	—
1768	C₂×Q₈	C₂⁴×C₁₃	1	2	yes	—
1769	C₂×Q₈	C₂⁴×C₁₃	1	4	yes	—
1770	C₂×Q₈	C₂⁴×C₁₃	1	4	yes	—
1771	C₂×Q₈	C₂⁴×C₁₃	1	4	yes	—
1772	C₂×Q₈	C₂⁴×C₁₃	1	4	yes	—
1773	C₂×Q₈	C₂⁴×C₁₃	1	4	yes	—
1774	C₂×Q₈	C₂⁴×C₁₃	1	4	yes	—
1775	C₂×Q₈	C₂⁴×C₁₃	1	1	yes	characteristic
1776	C₂×Q₈	C₂⁴×C₁₃	1	2	yes	—
1777	C₂×Q₈	C₂⁴×C₁₃	1	2	yes	—
1778	C₂×Q₈	C₂⁴×C₁₃	1	2	yes	—
1779	C₂×Q₈	C₂⁴×C₁₃	1	1	yes	characteristic
1780	C₂×D₄	—	4	2	no	—
1781	C₂×D₄	C₂⁴×C₁₃	1	2	yes	—
1782	C₂×D₄	C₂⁴×C₁₃	1	2	yes	—
1783	C₂×D₄	C₂⁴×C₁₃	1	4	yes	—
1784	C₂×D₄	C₂⁴×C₁₃	1	2	yes	—
1785	C₂×D₄	C₂⁴×C₁₃	1	4	yes	—
1786	C₂×D₄	C₂⁴×C₁₃	1	2	yes	—
1787	C₂×D₄	C₂⁴×C₁₃	1	2	yes	—
1788	C₂×D₄	C₂⁴×C₁₃	1	4	yes	—
1789	C₂×D₄	C₂⁴×C₁₃	1	2	yes	—
1790	C₂×D₄	C₂⁴×C₁₃	1	4	yes	—
1791	C₂×D₄	C₂⁴×C₁₃	1	2	yes	—
1792	C₂×D₄	C₂⁴×C₁₃	1	1	yes	characteristic
1793	C₂×D₄	C₂⁴×C₁₃	1	4	yes	—
1794	C₂×D₄	C₂⁴×C₁₃	1	1	yes	characteristic
1795	C₂×D₄	C₂⁴×C₁₃	1	2	yes	—
1796	C₂×D₄	C₂⁴×C₁₃	1	4	yes	—
1797	C₂×D₄	C₂⁴×C₁₃	1	1	yes	characteristic
1798	C₂×D₄	C₂⁴×C₁₃	1	1	yes	characteristic
1799	C₂×D₄	C₂⁴×C₁₃	1	2	yes	—
1800	C₂²×C₄	—	4	2	no	—
1801	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1802	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
1803	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1804	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1805	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
1806	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
1807	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
1808	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
1809	C₂²×C₄	C₂⁴×C₁₃	1	4	yes	—
1810	C₂²×C₄	C₂⁴×C₁₃	1	4	yes	—
1811	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
1812	C₂²×C₄	C₂⁴×C₁₃	1	4	yes	—
1813	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
1814	C₂²×C₄	C₂⁴×C₁₃	1	4	yes	—
1815	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
1816	C₂²×C₄	C₂⁴×C₁₃	1	4	yes	—
1817	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
1818	C₂²×C₄	C₂⁴×C₁₃	1	4	yes	—
1819	C₂²×C₄	C₂⁴×C₁₃	1	4	yes	—
1820	C₂²×C₄	C₂⁴×C₁₃	1	4	yes	—
1821	C₂²×C₄	C₂⁴×C₁₃	1	4	yes	—
1822	C₂²×C₄	C₂⁴×C₁₃	1	4	yes	—
1823	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
1824	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
1825	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
1826	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1827	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
1828	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
1829	C₄⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1830	C₄⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1831	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
1832	C₄⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1833	C₄⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1834	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
1835	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
1836	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
1837	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
1838	C₄⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1839	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
1840	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
1841	C₄⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1842	C₄⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1843	C₄⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1844	C₄⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1845	C₄⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1846	C₄⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1847	C₄⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1848	C₄⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1849	C₄⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1850	C₄⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1851	C₄⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1852	C₄⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1853	C₄⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1854	C₄⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1855	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
1856	C₄⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1857	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
1858	C₄⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1859	C₄⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1860	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
1861	C₄⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1862	C₄⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1863	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
1864	C₄⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1865	C₄⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1866	C₄⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1867	C₄⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1868	C₄⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1869	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
1870	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
1871	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
1872	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
1873	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
1874	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
1875	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
1876	C₄⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1877	C₄⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1878	C₄⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1879	C₄⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1880	C₄⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1881	C₄⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1882	C₄⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1883	C₄⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1884	C₄⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1885	C₄⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1886	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
1887	C₄⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1888	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
1889	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
1890	C₄⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1891	C₄⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1892	C₄⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1893	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
1894	C₄⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1895	C₄⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1896	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
1897	C₄⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1898	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
1899	C₂²⋊C₄	C₂⁴×C₁₃	1	2	yes	—
1900	C₂²⋊C₄	C₂⁴×C₁₃	1	2	yes	—
1901	C₂²⋊C₄	C₂⁴×C₁₃	1	2	yes	—
1902	C₂²⋊C₄	C₂⁴×C₁₃	1	2	yes	—
1903	C₂²⋊C₄	C₂⁴×C₁₃	1	2	yes	—
1904	C₂²⋊C₄	C₂⁴×C₁₃	1	2	yes	—
1905	C₂²⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1906	C₂²⋊C₄	C₂⁴×C₁₃	1	2	yes	—
1907	C₂²⋊C₄	C₂⁴×C₁₃	1	2	yes	—
1908	C₂²⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1909	C₂²⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1910	C₂²⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1911	C₂²⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1912	C₂²⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1913	C₂²⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1914	C₂²⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1915	C₂²⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1916	C₂²⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1917	C₂²⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1918	C₂²⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1919	C₂²⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1920	C₂²⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1921	C₂²⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1922	C₂²⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1923	C₂²⋊C₄	C₂⁴×C₁₃	1	2	yes	—
1924	C₂²⋊C₄	C₂⁴×C₁₃	1	2	yes	—
1925	C₂²⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1926	C₂²⋊C₄	C₂⁴×C₁₃	1	2	yes	—
1927	C₂²⋊C₄	C₂⁴×C₁₃	1	2	yes	—
1928	C₂²⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1929	C₂²⋊C₄	C₂⁴×C₁₃	1	2	yes	—
1930	C₂²⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1931	C₂²⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1932	C₂²⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1933	C₂²⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1934	C₂²⋊C₄	C₂⁴×C₁₃	1	2	yes	—
1935	C₂²⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1936	C₂²⋊C₄	C₂⁴×C₁₃	1	2	yes	—
1937	C₂²⋊C₄	C₂⁴×C₁₃	1	2	yes	—
1938	C₂²⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1939	C₂²⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1940	C₂²⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1941	C₂²⋊C₄	C₂⁴×C₁₃	1	2	yes	—
1942	C₂²⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1943	C₂²⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1944	C₂²⋊C₄	C₂⁴×C₁₃	1	2	yes	—
1945	C₂²⋊C₄	C₂⁴×C₁₃	1	2	yes	—
1946	C₂²⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1947	C₂²⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1948	C₂²⋊C₄	C₂⁴×C₁₃	1	2	yes	—
1949	C₂²⋊C₄	C₂⁴×C₁₃	1	2	yes	—
1950	C₂²⋊C₄	C₂⁴×C₁₃	1	2	yes	—
1951	C₂²⋊C₄	C₂⁴×C₁₃	1	2	yes	—
1952	C₂²⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1953	C₂²⋊C₄	C₂⁴×C₁₃	1	2	yes	—
1954	C₂²⋊C₄	C₂⁴×C₁₃	1	2	yes	—
1955	C₂²⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1956	C₄²	C₂⁴×C₁₃	1	1	yes	characteristic
1957	C₄²	C₂⁴×C₁₃	1	1	yes	characteristic
1958	C₄²	C₂⁴×C₁₃	1	2	yes	—
1959	C₄²	C₂⁴×C₁₃	1	1	yes	characteristic
1960	C₄²	C₂⁴×C₁₃	1	2	yes	—
1961	C₄²	C₂⁴×C₁₃	1	4	yes	—
1962	C₄²	C₂⁴×C₁₃	1	2	yes	—
1963	C₄²	C₂⁴×C₁₃	1	4	yes	—
1964	C₄²	C₂⁴×C₁₃	1	4	yes	—
1965	C₄²	C₂⁴×C₁₃	1	1	yes	characteristic
1966	C₄²	C₂⁴×C₁₃	1	2	yes	—
1967	C₄²	C₂⁴×C₁₃	1	2	yes	—
1968	C₄²	C₂⁴×C₁₃	1	1	yes	characteristic
1969	C₄²	C₂⁴×C₁₃	1	4	yes	—
1970	C₄²	C₂⁴×C₁₃	1	4	yes	—
1971	C₄²	C₂⁴×C₁₃	1	4	yes	—
1972	C₄²	C₂⁴×C₁₃	1	2	yes	—
1973	C₄²	C₂⁴×C₁₃	1	1	yes	characteristic
1974	C₄²	C₂⁴×C₁₃	1	4	yes	—
1975	C₄²	C₂⁴×C₁₃	1	2	yes	—
1976	C₄²	C₂⁴×C₁₃	1	4	yes	—
1977	C₄²	C₂⁴×C₁₃	1	4	yes	—
1978	C₄²	C₂⁴×C₁₃	1	2	yes	—
1979	C₄²	C₂⁴×C₁₃	1	4	yes	—
1980	C₄²	C₂⁴×C₁₃	1	4	yes	—
1981	C₄²	C₂⁴×C₁₃	1	4	yes	—
1982	C₄²	C₂⁴×C₁₃	1	2	yes	—
1983	C₄²	C₂⁴×C₁₃	1	4	yes	—
1984	C₄²	C₂⁴×C₁₃	1	4	yes	—
1985	C₄²	C₂⁴×C₁₃	1	2	yes	—
1986	C₄²	C₂⁴×C₁₃	1	2	yes	—
1987	C₁₃	#62891	1	1	yes	characteristic, direct product factor, Sylow
1988	C₂³	—	4	1	no	—
1989	C₂³	—	4	2	no	—
1990	C₂³	—	4	2	no	—
1991	C₂³	—	4	4	no	—
1992	C₂³	C₂⁵×C₁₃	1	1	yes	characteristic
1993	C₂³	C₂⁵×C₁₃	1	2	yes	—
1994	C₂³	C₂⁵×C₁₃	1	1	yes	characteristic
1995	C₂³	C₂⁵×C₁₃	1	4	yes	—
1996	C₂³	C₂⁵×C₁₃	1	1	yes	characteristic
1997	C₂³	C₂⁵×C₁₃	1	2	yes	—
1998	Q₈	—	2	4	no	—
1999	Q₈	—	2	4	no	—
2000	Q₈	—	2	4	no	—
2001	Q₈	—	4	4	no	—
2002	Q₈	—	4	4	no	—
2003	Q₈	—	4	2	no	—
2004	Q₈	—	4	2	no	—
2005	Q₈	—	4	2	no	—
2006	Q₈	—	4	1	no	—
2007	Q₈	—	4	1	no	—
2008	Q₈	—	4	2	no	—
2009	Q₈	—	4	2	no	—
2010	Q₈	—	4	4	no	—
2011	Q₈	—	4	4	no	—
2012	Q₈	—	4	4	no	—
2013	Q₈	—	4	4	no	—
2014	D₄	—	2	4	no	—
2015	D₄	—	4	2	no	—
2016	D₄	—	4	2	no	—
2017	D₄	—	4	2	no	—
2018	D₄	—	4	4	no	—
2019	D₄	—	4	2	no	—
2020	D₄	—	4	4	no	—
2021	D₄	—	4	4	no	—
2022	D₄	—	4	2	no	—
2023	D₄	—	4	2	no	—
2024	D₄	—	4	4	no	—
2025	D₄	—	4	2	no	—
2026	D₄	—	4	1	no	—
2027	D₄	—	4	1	no	—
2028	D₄	—	4	2	no	—
2029	D₄	—	4	1	no	—
2030	D₄	—	4	1	no	—
2031	D₄	—	4	4	no	—
2032	D₄	—	4	4	no	—
2033	C₂×C₄	—	2	4	no	—
2034	C₂×C₄	—	2	2	no	—
2035	C₂×C₄	—	2	2	no	—
2036	C₂×C₄	—	2	2	no	—
2037	C₂×C₄	—	2	4	no	—
2038	C₂×C₄	—	4	1	no	—
2039	C₂×C₄	—	4	2	no	—
2040	C₂×C₄	—	4	2	no	—
2041	C₂×C₄	—	4	2	no	—
2042	C₂×C₄	—	4	4	no	—
2043	C₂×C₄	—	4	2	no	—
2044	C₂×C₄	—	4	4	no	—
2045	C₂×C₄	—	4	4	no	—
2046	C₂×C₄	—	4	4	no	—
2047	C₂×C₄	—	4	2	no	—
2048	C₂×C₄	—	4	4	no	—
2049	C₂×C₄	—	4	4	no	—
2050	C₂×C₄	—	4	2	no	—
2051	C₂×C₄	—	4	2	no	—
2052	C₂×C₄	—	4	2	no	—
2053	C₂×C₄	—	4	2	no	—
2054	C₂×C₄	—	4	4	no	—
2055	C₂×C₄	—	4	4	no	—
2056	C₂×C₄	—	4	2	no	—
2057	C₂×C₄	—	4	4	no	—
2058	C₂×C₄	—	4	4	no	—
2059	C₂×C₄	C₂⁵×C₁₃	1	2	yes	—
2060	C₂×C₄	C₂⁵×C₁₃	1	2	yes	—
2061	C₂×C₄	C₂⁵×C₁₃	1	4	yes	—
2062	C₂×C₄	C₂⁵×C₁₃	1	2	yes	—
2063	C₂×C₄	C₂⁵×C₁₃	1	1	yes	characteristic
2064	C₂×C₄	C₂⁵×C₁₃	1	4	yes	—
2065	C₂×C₄	C₂⁵×C₁₃	1	2	yes	—
2066	C₂×C₄	C₂⁵×C₁₃	1	1	yes	characteristic
2067	C₂×C₄	C₂⁵×C₁₃	1	2	yes	—
2068	C₂×C₄	C₂⁵×C₁₃	1	2	yes	—
2069	C₂×C₄	C₂⁵×C₁₃	1	4	yes	—
2070	C₂×C₄	C₂⁵×C₁₃	1	4	yes	—
2071	C₂×C₄	C₂⁵×C₁₃	1	2	yes	—
2072	C₂×C₄	C₂⁵×C₁₃	1	4	yes	—
2073	C₂×C₄	C₂⁵×C₁₃	1	2	yes	—
2074	C₂×C₄	C₂⁵×C₁₃	1	2	yes	—
2075	C₂×C₄	C₂⁵×C₁₃	1	4	yes	—
2076	C₂×C₄	C₂⁵×C₁₃	1	4	yes	—
2077	C₂×C₄	C₂⁵×C₁₃	1	1	yes	characteristic
2078	C₂×C₄	C₂⁵×C₁₃	1	2	yes	—
2079	C₂×C₄	C₂⁵×C₁₃	1	1	yes	characteristic
2080	C₂²	—	2	1	no	—
2081	C₂²	—	2	2	no	—
2082	C₂²	—	2	2	no	—
2083	C₂²	—	2	1	no	—
2084	C₂²	—	2	1	no	—
2085	C₂²	—	2	4	no	—
2086	C₂²	—	2	2	no	—
2087	C₂²	—	2	2	no	—
2088	C₂²	—	2	2	no	—
2089	C₂²	—	2	4	no	—
2090	C₂²	—	2	4	no	—
2091	C₂²	—	2	2	no	—
2092	C₂²	—	2	2	no	—
2093	C₂²	—	2	2	no	—
2094	C₂²	—	2	2	no	—
2095	C₂²	—	8	2	no	—
2096	C₂²	—	16	2	no	—
2097	C₂²	C₂⁶×C₁₃	1	1	yes	characteristic
2098	C₄	—	2	2	no	—
2099	C₄	—	2	1	no	—
2100	C₄	—	2	2	no	—
2101	C₄	—	2	1	no	—
2102	C₄	—	2	1	no	—
2103	C₄	—	2	4	no	—
2104	C₄	—	2	4	no	—
2105	C₄	—	2	4	no	—
2106	C₄	—	2	2	no	—
2107	C₄	—	2	2	no	—
2108	C₄	—	2	2	no	—
2109	C₄	—	2	4	no	—
2110	C₄	—	2	4	no	—
2111	C₄	—	2	2	no	—
2112	C₄	—	2	2	no	—
2113	C₄	—	2	4	no	—
2114	C₄	—	2	2	no	—
2115	C₄	—	2	2	no	—
2116	C₄	—	2	4	no	—
2117	C₄	—	2	2	no	—
2118	C₄	C₁₃×#585	1	2	yes	—
2119	C₂	—	4	2	no	—
2120	C₂	—	4	1	no	—
2121	C₂	—	4	1	no	—
2122	C₂	—	4	4	no	—
2123	C₂	—	4	1	no	—
2124	C₂	—	4	2	no	—
2125	C₂	C₂×C₁₃×#585	1	1	yes	characteristic
2126	C₂	C₁₃×2₋¹⁺⁶	1	2	yes	—

	subgroup	G/H
center, socle	C₂²×C₁₃	C₂⁶
commutator, Frattini, cosocle	C₂²	C₂⁶×C₁₃
LCS	G ▷ C₂² ▷ C₁
UCS	C₁ ◁ C₂²×C₁₃ ◁ G

Complements

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

N	H ≅ G/N	type
1. C₁₃×#3568	C₂	semidirect
2. C₁₃×#3566	C₂	semidirect
3. C₁₃×#3566	C₂	semidirect
4. C₁₃×#3565	C₂	semidirect
5. C₁₃×#3565	C₂	semidirect
6. C₁₃×#3564	C₂	semidirect
7. C₁₃×#3564	C₂	semidirect
8. C₁₃×#3561	C₂	semidirect
9. C₁₃×#3557	C₂	semidirect
10. C₁₃×#3555	C₂	semidirect
11. C₁₃×#3555	C₂	semidirect
12. C₁₃×#3555	C₂	semidirect
13. C₁₃×#3552	C₂	semidirect
14. C₁₃×#3551	C₂	semidirect
15. C₁₃×#3550	C₂	semidirect
16. C₁₃×#3541	C₂	semidirect
17. C₁₃×#3540	C₂	semidirect
18. C₁₃×#3538	C₂	semidirect
19. C₁₃×#3523	C₂	semidirect
20. C₁₃×#3521	C₂	semidirect
21. C₁₃×#3518	C₂	semidirect
22. C₁₃×#3516	C₂	semidirect
23. C₁₃×#3510	C₂	semidirect
24. C₁₃×#3509	C₂	semidirect
25. C₁₃×#3495	C₂	semidirect
26. C₁₃×#3461	C₂	semidirect
27. C₁₃×#3455	C₂	semidirect
30. C₁₃×#563	C₂²	semidirect
31. C₁₃×#563	C₂²	semidirect
32. C₁₃×#563	C₂²	semidirect
33. C₁₃×#563	C₂²	semidirect
34. C₁₃×#563	C₂²	semidirect
35. C₁₃×#563	C₂²	semidirect
36. C₁₃×#563	C₂²	semidirect
37. C₁₃×#563	C₂²	semidirect
38. C₁₃×#563	C₂²	semidirect
39. C₁₃×#563	C₂²	semidirect
40. C₁₃×#563	C₂²	semidirect
41. C₁₃×#563	C₂²	semidirect
43. C₁₃×#562	C₂²	semidirect
44. C₁₃×#562	C₂²	semidirect
47. C₁₃×#560	C₂²	semidirect
50. C₁₃×#559	C₂²	semidirect
51. Q₈²×C₁₃	C₂²	semidirect
52. Q₈²×C₁₃	C₂²	semidirect
53. C₁₃×#557	C₂²	semidirect
54. C₁₃×#557	C₂²	semidirect
55. C₁₃×#557	C₂²	semidirect
56. C₁₃×#557	C₂²	semidirect
57. C₁₃×#557	C₂²	semidirect
58. C₁₃×#557	C₂²	semidirect
62. C₁₃×#556	C₂²	semidirect
63. C₁₃×#556	C₂²	semidirect
64. C₁₃×#556	C₂²	semidirect
65. C₁₃×#556	C₂²	semidirect
66. C₁₃×#556	C₂²	semidirect
67. C₁₃×#556	C₂²	semidirect
68. C₁₃×#556	C₂²	semidirect
69. C₁₃×#556	C₂²	semidirect
70. C₁₃×#556	C₂²	semidirect
71. C₁₃×#556	C₂²	semidirect
72. C₁₃×#556	C₂²	semidirect
73. C₁₃×#556	C₂²	semidirect
74. C₁₃×#556	C₂²	semidirect
75. C₁₃×#556	C₂²	semidirect
76. C₁₃×#556	C₂²	semidirect
78. C₁₃×#555	C₂²	semidirect
79. C₁₃×#555	C₂²	semidirect
80. C₁₃×#554	C₂²	semidirect
81. C₁₃×#554	C₂²	semidirect
82. C₁₃×#554	C₂²	semidirect
83. C₁₃×#554	C₂²	semidirect
84. C₁₃×#554	C₂²	semidirect
85. C₁₃×#554	C₂²	semidirect
88. C₁₃×#553	C₂²	semidirect
89. C₁₃×#553	C₂²	semidirect
90. C₁₃×#553	C₂²	semidirect
91. C₁₃×#553	C₂²	semidirect
93. C₁₃×#552	C₂²	semidirect
94. C₁₃×#552	C₂²	semidirect
95. C₁₃×#552	C₂²	semidirect
96. C₁₃×#552	C₂²	semidirect
97. C₁₃×#552	C₂²	semidirect
98. C₁₃×#552	C₂²	semidirect
99. C₁₃×#552	C₂²	semidirect
100. C₁₃×#552	C₂²	semidirect
101. C₁₃×#552	C₂²	semidirect
102. C₁₃×#552	C₂²	semidirect
103. C₁₃×#552	C₂²	semidirect
104. C₁₃×#552	C₂²	semidirect
105. C₁₃×#552	C₂²	semidirect
106. C₁₃×#552	C₂²	semidirect
107. C₁₃×#552	C₂²	semidirect
113. C₁₃×#551	C₂²	semidirect
114. C₁₃×#551	C₂²	semidirect
115. C₁₃×#551	C₂²	semidirect
116. C₁₃×#551	C₂²	semidirect
117. C₁₃×#551	C₂²	semidirect
118. C₁₃×#551	C₂²	semidirect
119. C₁₃×#551	C₂²	semidirect
121. D₄×Q₈×C₁₃	C₂²	semidirect
122. D₄×Q₈×C₁₃	C₂²	semidirect
123. D₄×Q₈×C₁₃	C₂²	semidirect
124. D₄×Q₈×C₁₃	C₂²	semidirect
128. C₁₃×#548	C₂²	semidirect
131. C₁₃×#546	C₂²	semidirect
132. C₁₃×#544	C₂²	semidirect
133. C₁₃×#544	C₂²	semidirect
134. C₁₃×#544	C₂²	semidirect
135. C₁₃×#544	C₂²	semidirect
136. C₁₃×#544	C₂²	semidirect
137. C₁₃×#543	C₂²	semidirect
147. C₁₃×#542	C₂²	semidirect
148. C₁₃×#542	C₂²	semidirect
149. C₁₃×#542	C₂²	semidirect
150. C₁₃×#542	C₂²	semidirect
151. C₁₃×#542	C₂²	semidirect
152. C₁₃×#542	C₂²	semidirect
153. C₁₃×#542	C₂²	semidirect
154. C₁₃×#542	C₂²	semidirect
155. C₁₃×#542	C₂²	semidirect
156. C₁₃×#542	C₂²	semidirect
157. C₁₃×#542	C₂²	semidirect
158. C₁₃×#542	C₂²	semidirect
159. C₁₃×#542	C₂²	semidirect
160. C₁₃×#541	C₂²	semidirect
161. C₁₃×#541	C₂²	semidirect
162. C₁₃×#541	C₂²	semidirect
163. C₁₃×#541	C₂²	semidirect
164. C₁₃×#541	C₂²	semidirect
165. C₁₃×#541	C₂²	semidirect
166. C₁₃×#541	C₂²	semidirect
167. C₁₃×#541	C₂²	semidirect
168. C₁₃×#541	C₂²	semidirect
169. C₁₃×#541	C₂²	semidirect
170. C₁₃×#541	C₂²	semidirect
171. C₁₃×#541	C₂²	semidirect
172. C₁₃×#541	C₂²	semidirect
173. C₁₃×#541	C₂²	semidirect
174. C₁₃×#541	C₂²	semidirect
175. C₁₃×#541	C₂²	semidirect
176. C₁₃×#541	C₂²	semidirect
177. C₁₃×#541	C₂²	semidirect
182. C₁₃×#539	C₂²	semidirect
183. C₁₃×#539	C₂²	semidirect
184. C₁₃×#539	C₂²	semidirect
185. C₁₃×#539	C₂²	semidirect
186. C₁₃×#539	C₂²	semidirect
187. C₁₃×#539	C₂²	semidirect
188. C₁₃×#539	C₂²	semidirect
189. C₁₃×#539	C₂²	semidirect
195. C₁₃×#538	C₂²	semidirect
196. C₁₃×#538	C₂²	semidirect
197. C₁₃×#538	C₂²	semidirect
203. C₁₃×#536	C₂²	semidirect
204. C₁₃×#536	C₂²	semidirect
206. C₁₃×#533	C₂²	semidirect
207. C₁₃×#533	C₂²	semidirect
208. C₁₃×#533	C₂²	semidirect
209. C₁₃×#533	C₂²	semidirect
210. C₁₃×#533	C₂²	semidirect
211. C₁₃×#533	C₂²	semidirect
212. C₁₃×#533	C₂²	semidirect
213. C₁₃×#533	C₂²	semidirect
214. C₁₃×#533	C₂²	semidirect
215. C₁₃×#533	C₂²	semidirect
217. C₂×C₁₃×C₄⋊Q₈	C₂²	semidirect
224. C₁₃×#529	C₂²	semidirect
225. C₁₃×#529	C₂²	semidirect
226. C₁₃×#529	C₂²	semidirect
227. C₁₃×#529	C₂²	semidirect
228. C₁₃×#529	C₂²	semidirect
229. C₁₃×#529	C₂²	semidirect
230. C₁₃×#529	C₂²	semidirect
231. C₁₃×#529	C₂²	semidirect
232. C₁₃×#529	C₂²	semidirect
233. C₁₃×#529	C₂²	semidirect
234. C₂×C₁₃×#126	C₂²	semidirect
235. C₂×C₁₃×#124	C₂²	semidirect
238. C₁₃×#525	C₂²	semidirect
239. C₂×C₁₃×C₂²⋊Q₈	C₂²	semidirect
241. C₁₃×#519	C₂²	semidirect
242. C₁₃×#519	C₂²	semidirect
243. C₁₃×#519	C₂²	semidirect
244. C₁₃×#519	C₂²	semidirect
245. C₁₃×#518	C₂²	semidirect
247. C₄×C₁₃×#41	C₂²	semidirect
248. C₄×C₁₃×#41	C₂²	semidirect
249. C₂×C₄×Q₈×C₁₃	C₂²	semidirect
250. C₂×C₁₃×#117	C₂²	semidirect
690. #62891	C₁₃	direct (N × H)
925. #3568	C₂×C₁₃	semidirect
926. #3566	C₂×C₁₃	semidirect
927. #3566	C₂×C₁₃	semidirect
928. #3565	C₂×C₁₃	semidirect
929. #3565	C₂×C₁₃	semidirect
930. #3564	C₂×C₁₃	semidirect
931. #3564	C₂×C₁₃	semidirect
932. #3561	C₂×C₁₃	semidirect
933. #3557	C₂×C₁₃	semidirect
934. #3555	C₂×C₁₃	semidirect
935. #3555	C₂×C₁₃	semidirect
936. #3555	C₂×C₁₃	semidirect
937. #3552	C₂×C₁₃	semidirect
938. #3551	C₂×C₁₃	semidirect
939. #3550	C₂×C₁₃	semidirect
940. #3541	C₂×C₁₃	semidirect
941. #3540	C₂×C₁₃	semidirect
942. #3538	C₂×C₁₃	semidirect
943. #3523	C₂×C₁₃	semidirect
944. #3521	C₂×C₁₃	semidirect
945. #3518	C₂×C₁₃	semidirect
946. #3516	C₂×C₁₃	semidirect
947. #3510	C₂×C₁₃	semidirect
948. #3509	C₂×C₁₃	semidirect
949. #3495	C₂×C₁₃	semidirect
950. #3461	C₂×C₁₃	semidirect
951. #3455	C₂×C₁₃	semidirect
1046. #563	C₂²×C₁₃	semidirect
1047. #563	C₂²×C₁₃	semidirect
1048. #563	C₂²×C₁₃	semidirect
1049. #563	C₂²×C₁₃	semidirect
1050. #563	C₂²×C₁₃	semidirect
1051. #563	C₂²×C₁₃	semidirect
1052. #563	C₂²×C₁₃	semidirect
1053. #563	C₂²×C₁₃	semidirect
1054. #563	C₂²×C₁₃	semidirect
1055. #563	C₂²×C₁₃	semidirect
1056. #563	C₂²×C₁₃	semidirect
1057. #563	C₂²×C₁₃	semidirect
1059. #562	C₂²×C₁₃	semidirect
1060. #562	C₂²×C₁₃	semidirect
1063. #560	C₂²×C₁₃	semidirect
1066. #559	C₂²×C₁₃	semidirect
1067. Q₈²	C₂²×C₁₃	semidirect
1068. Q₈²	C₂²×C₁₃	semidirect
1069. #557	C₂²×C₁₃	semidirect
1070. #557	C₂²×C₁₃	semidirect
1071. #557	C₂²×C₁₃	semidirect
1072. #557	C₂²×C₁₃	semidirect
1073. #557	C₂²×C₁₃	semidirect
1074. #557	C₂²×C₁₃	semidirect
1078. #556	C₂²×C₁₃	semidirect
1079. #556	C₂²×C₁₃	semidirect
1080. #556	C₂²×C₁₃	semidirect
1081. #556	C₂²×C₁₃	semidirect
1082. #556	C₂²×C₁₃	semidirect
1083. #556	C₂²×C₁₃	semidirect
1084. #556	C₂²×C₁₃	semidirect
1085. #556	C₂²×C₁₃	semidirect
1086. #556	C₂²×C₁₃	semidirect
1087. #556	C₂²×C₁₃	semidirect
1088. #556	C₂²×C₁₃	semidirect
1089. #556	C₂²×C₁₃	semidirect
1090. #556	C₂²×C₁₃	semidirect
1091. #556	C₂²×C₁₃	semidirect
1092. #556	C₂²×C₁₃	semidirect
1094. #555	C₂²×C₁₃	semidirect
1095. #555	C₂²×C₁₃	semidirect
1096. #554	C₂²×C₁₃	semidirect
1097. #554	C₂²×C₁₃	semidirect
1098. #554	C₂²×C₁₃	semidirect
1099. #554	C₂²×C₁₃	semidirect
1100. #554	C₂²×C₁₃	semidirect
1101. #554	C₂²×C₁₃	semidirect
1104. #553	C₂²×C₁₃	semidirect
1105. #553	C₂²×C₁₃	semidirect
1106. #553	C₂²×C₁₃	semidirect
1107. #553	C₂²×C₁₃	semidirect
1109. #552	C₂²×C₁₃	semidirect
1110. #552	C₂²×C₁₃	semidirect
1111. #552	C₂²×C₁₃	semidirect
1112. #552	C₂²×C₁₃	semidirect
1113. #552	C₂²×C₁₃	semidirect
1114. #552	C₂²×C₁₃	semidirect
1115. #552	C₂²×C₁₃	semidirect
1116. #552	C₂²×C₁₃	semidirect
1117. #552	C₂²×C₁₃	semidirect
1118. #552	C₂²×C₁₃	semidirect
1119. #552	C₂²×C₁₃	semidirect
1120. #552	C₂²×C₁₃	semidirect
1121. #552	C₂²×C₁₃	semidirect
1122. #552	C₂²×C₁₃	semidirect
1123. #552	C₂²×C₁₃	semidirect
1129. #551	C₂²×C₁₃	semidirect
1130. #551	C₂²×C₁₃	semidirect
1131. #551	C₂²×C₁₃	semidirect
1132. #551	C₂²×C₁₃	semidirect
1133. #551	C₂²×C₁₃	semidirect
1134. #551	C₂²×C₁₃	semidirect
1135. #551	C₂²×C₁₃	semidirect
1137. D₄×Q₈	C₂²×C₁₃	semidirect
1138. D₄×Q₈	C₂²×C₁₃	semidirect
1139. D₄×Q₈	C₂²×C₁₃	semidirect
1140. D₄×Q₈	C₂²×C₁₃	semidirect
1144. #548	C₂²×C₁₃	semidirect
1147. #546	C₂²×C₁₃	semidirect
1148. #544	C₂²×C₁₃	semidirect
1149. #544	C₂²×C₁₃	semidirect
1150. #544	C₂²×C₁₃	semidirect
1151. #544	C₂²×C₁₃	semidirect
1152. #544	C₂²×C₁₃	semidirect
1153. #543	C₂²×C₁₃	semidirect
1163. #542	C₂²×C₁₃	semidirect
1164. #542	C₂²×C₁₃	semidirect
1165. #542	C₂²×C₁₃	semidirect
1166. #542	C₂²×C₁₃	semidirect
1167. #542	C₂²×C₁₃	semidirect
1168. #542	C₂²×C₁₃	semidirect
1169. #542	C₂²×C₁₃	semidirect
1170. #542	C₂²×C₁₃	semidirect
1171. #542	C₂²×C₁₃	semidirect
1172. #542	C₂²×C₁₃	semidirect
1173. #542	C₂²×C₁₃	semidirect
1174. #542	C₂²×C₁₃	semidirect
1175. #542	C₂²×C₁₃	semidirect
1176. #541	C₂²×C₁₃	semidirect
1177. #541	C₂²×C₁₃	semidirect
1178. #541	C₂²×C₁₃	semidirect
1179. #541	C₂²×C₁₃	semidirect
1180. #541	C₂²×C₁₃	semidirect
1181. #541	C₂²×C₁₃	semidirect
1182. #541	C₂²×C₁₃	semidirect
1183. #541	C₂²×C₁₃	semidirect
1184. #541	C₂²×C₁₃	semidirect
1185. #541	C₂²×C₁₃	semidirect
1186. #541	C₂²×C₁₃	semidirect
1187. #541	C₂²×C₁₃	semidirect
1188. #541	C₂²×C₁₃	semidirect
1189. #541	C₂²×C₁₃	semidirect
1190. #541	C₂²×C₁₃	semidirect
1191. #541	C₂²×C₁₃	semidirect
1192. #541	C₂²×C₁₃	semidirect
1193. #541	C₂²×C₁₃	semidirect
1198. #539	C₂²×C₁₃	semidirect
1199. #539	C₂²×C₁₃	semidirect
1200. #539	C₂²×C₁₃	semidirect
1201. #539	C₂²×C₁₃	semidirect
1202. #539	C₂²×C₁₃	semidirect
1203. #539	C₂²×C₁₃	semidirect
1204. #539	C₂²×C₁₃	semidirect
1205. #539	C₂²×C₁₃	semidirect
1211. #538	C₂²×C₁₃	semidirect
1212. #538	C₂²×C₁₃	semidirect
1213. #538	C₂²×C₁₃	semidirect
1219. #536	C₂²×C₁₃	semidirect
1220. #536	C₂²×C₁₃	semidirect
1222. #533	C₂²×C₁₃	semidirect
1223. #533	C₂²×C₁₃	semidirect
1224. #533	C₂²×C₁₃	semidirect
1225. #533	C₂²×C₁₃	semidirect
1226. #533	C₂²×C₁₃	semidirect
1227. #533	C₂²×C₁₃	semidirect
1228. #533	C₂²×C₁₃	semidirect
1229. #533	C₂²×C₁₃	semidirect
1230. #533	C₂²×C₁₃	semidirect
1231. #533	C₂²×C₁₃	semidirect
1233. C₂×C₄⋊Q₈	C₂²×C₁₃	semidirect
1240. #529	C₂²×C₁₃	semidirect
1241. #529	C₂²×C₁₃	semidirect
1242. #529	C₂²×C₁₃	semidirect
1243. #529	C₂²×C₁₃	semidirect
1244. #529	C₂²×C₁₃	semidirect
1245. #529	C₂²×C₁₃	semidirect
1246. #529	C₂²×C₁₃	semidirect
1247. #529	C₂²×C₁₃	semidirect
1248. #529	C₂²×C₁₃	semidirect
1249. #529	C₂²×C₁₃	semidirect
1250. C₂×#126	C₂²×C₁₃	semidirect
1251. C₂×#124	C₂²×C₁₃	semidirect
1254. #525	C₂²×C₁₃	semidirect
1255. C₂×C₂²⋊Q₈	C₂²×C₁₃	semidirect
1257. #519	C₂²×C₁₃	semidirect
1258. #519	C₂²×C₁₃	semidirect
1259. #519	C₂²×C₁₃	semidirect
1260. #519	C₂²×C₁₃	semidirect
1261. #518	C₂²×C₁₃	semidirect
1263. C₄×#41	C₂²×C₁₃	semidirect
1264. C₄×#41	C₂²×C₁₃	semidirect
1265. C₂×C₄×Q₈	C₂²×C₁₃	semidirect
1266. C₂×#117	C₂²×C₁₃	semidirect
1987. C₁₃	#62891	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×#3568	2
C₁₃×#3566	2
C₁₃×#3565	2
C₁₃×#3564	2
C₁₃×#3561	2
C₁₃×#3557	2
C₁₃×#3555	2
C₁₃×#3552	2
C₁₃×#3551	2
C₁₃×#3550	2
C₁₃×#3541	2
C₁₃×#3540	2
C₁₃×#3538	2
C₁₃×#3523	2
C₁₃×#3521	2
C₁₃×#3518	2
C₁₃×#3516	2
C₁₃×#3510	2
C₁₃×#3509	2
C₁₃×#3495	2
C₁₃×#3461	2
C₁₃×#3455	2
#62891	13

Subgroups — C13×#62891 #15749230

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₃×#62891 #15749230