Subgroups — C₁₃×#62878 #15749217

Order 3328.

7134 conjugacy classes of subgroups.

The subgroup lattice has 1618 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₁₃×#3561	C₂	1	4	yes	maximal, complemented
2	C₁₃×#3560	C₂	1	4	yes	maximal, complemented
3	C₁₃×#3558	C₂	1	4	yes	maximal, complemented
4	C₁₃×#3558	C₂	1	4	yes	maximal, complemented
5	C₁₃×#3554	C₂	1	4	yes	maximal, complemented
6	C₁₃×#3546	C₂	1	4	yes	maximal, complemented
7	C₁₃×#3542	C₂	1	4	yes	maximal, complemented
8	C₁₃×#3541	C₂	1	4	yes	maximal, complemented
9	C₁₃×#3540	C₂	1	4	yes	maximal, complemented
10	C₁₃×#3536	C₂	1	4	yes	maximal, complemented
11	C₁₃×#3536	C₂	1	4	yes	maximal, complemented
12	C₁₃×#3534	C₂	1	4	yes	maximal, complemented
13	C₁₃×#3511	C₂	1	2	yes	maximal, complemented
14	C₁₃×#3507	C₂	1	1	yes	maximal, characteristic, complemented
15	C₁₃×#3506	C₂	1	1	yes	maximal, characteristic, complemented
16	C₁₃×#3500	C₂	1	2	yes	maximal, complemented
17	C₁₃×#3497	C₂	1	1	yes	maximal, characteristic, complemented
18	C₁₃×#3496	C₂	1	1	yes	maximal, characteristic, complemented
19	C₁₃×#3489	C₂	1	2	yes	maximal, complemented
20	C₁₃×#3488	C₂	1	2	yes	maximal, complemented
21	C₁₃×#3455	C₂	1	1	yes	maximal, characteristic, complemented
22	C₂×C₁₃×#542	C₂	1	1	yes	maximal, characteristic, complemented
23	C₁₃×#3449	C₂	1	1	yes	maximal, characteristic, complemented
24	C₂×C₁₃×2₋¹⁺⁴	C₂²	1	2	yes	complemented
25	C₂×C₁₃×H(5,𝔽₂)	C₂²	1	2	yes	complemented
26	C₂²×C₁₃×#41	C₂²	1	2	yes	complemented
27	C₁₃×#563	C₂²	1	8	yes	complemented
28	C₁₃×#562	C₂²	1	8	yes	complemented
29	C₁₃×#562	C₂²	1	8	yes	complemented
30	C₁₃×#562	C₂²	1	8	yes	complemented
31	C₁₃×#562	C₂²	1	8	yes	complemented
32	C₁₃×H(3,𝔽₄)	C₂²	1	8	yes	complemented
33	C₁₃×#560	C₂²	1	8	yes	complemented
34	C₁₃×#560	C₂²	1	8	yes	complemented
35	C₁₃×#559	C₂²	1	8	yes	complemented
36	C₁₃×#559	C₂²	1	4	yes	complemented
37	C₁₃×#559	C₂²	1	2	yes	complemented
38	C₁₃×#557	C₂²	1	2	yes	complemented
39	C₁₃×#556	C₂²	1	2	yes	complemented
40	C₁₃×#556	C₂²	1	4	yes	complemented
41	C₁₃×#556	C₂²	1	4	yes	complemented
42	C₁₃×#556	C₂²	1	2	yes	complemented
43	C₁₃×#555	C₂²	1	2	yes	complemented
44	C₁₃×#555	C₂²	1	4	yes	complemented
45	C₁₃×#554	C₂²	1	2	yes	complemented
46	C₁₃×#554	C₂²	1	8	yes	complemented
47	C₁₃×#554	C₂²	1	4	yes	complemented
48	C₁₃×#553	C₂²	1	8	yes	complemented
49	C₁₃×#553	C₂²	1	4	yes	complemented
50	C₁₃×#553	C₂²	1	8	yes	complemented
51	C₁₃×#552	C₂²	1	4	yes	complemented
52	C₁₃×#551	C₂²	1	8	yes	complemented
53	C₁₃×#551	C₂²	1	8	yes	complemented
54	C₁₃×#550	C₂²	1	2	yes	complemented
55	C₁₃×#550	C₂²	1	2	yes	complemented
56	C₁₃×#550	C₂²	1	2	yes	complemented
57	C₁₃×#550	C₂²	1	4	yes	complemented
58	D₄×Q₈×C₁₃	C₂²	1	2	yes	complemented
59	D₄×Q₈×C₁₃	C₂²	1	4	yes	complemented
60	D₄×Q₈×C₁₃	C₂²	1	2	yes	complemented
61	C₁₃×#548	C₂²	1	4	yes	complemented
62	C₁₃×#548	C₂²	1	4	yes	complemented
63	C₁₃×#548	C₂²	1	8	yes	complemented
64	C₁₃×#548	C₂²	1	4	yes	complemented
65	C₁₃×#548	C₂²	1	4	yes	complemented
66	C₁₃×#548	C₂²	1	4	yes	complemented
67	C₁₃×#548	C₂²	1	4	yes	complemented
68	C₁₃×#547	C₂²	1	2	yes	complemented
69	C₁₃×#547	C₂²	1	4	yes	complemented
70	C₁₃×#547	C₂²	1	8	yes	complemented
71	C₁₃×#547	C₂²	1	2	yes	complemented
72	C₁₃×#547	C₂²	1	4	yes	complemented
73	C₁₃×#547	C₂²	1	2	yes	complemented
74	C₁₃×#546	C₂²	1	8	yes	complemented
75	C₁₃×#546	C₂²	1	8	yes	complemented
76	C₁₃×#546	C₂²	1	8	yes	complemented
77	C₁₃×#546	C₂²	1	4	yes	complemented
78	C₁₃×#546	C₂²	1	8	yes	complemented
79	C₁₃×#546	C₂²	1	4	yes	complemented
80	C₁₃×#546	C₂²	1	8	yes	complemented
81	C₁₃×#546	C₂²	1	8	yes	complemented
82	C₁₃×#546	C₂²	1	8	yes	complemented
83	C₁₃×#546	C₂²	1	4	yes	complemented
84	C₁₃×#546	C₂²	1	4	yes	complemented
85	C₁₃×#546	C₂²	1	4	yes	complemented
86	C₁₃×#546	C₂²	1	4	yes	complemented
87	D₄²×C₁₃	C₂²	1	8	yes	complemented
88	D₄²×C₁₃	C₂²	1	2	yes	complemented
89	D₄²×C₁₃	C₂²	1	4	yes	complemented
90	D₄²×C₁₃	C₂²	1	2	yes	complemented
91	C₁₃×#543	C₂²	1	8	yes	complemented
92	C₁₃×#542	C₂²	1	2	yes	complemented
93	C₁₃×#542	C₂²	1	8	yes	complemented
94	C₁₃×#542	C₂²	1	4	yes	complemented
95	C₁₃×#542	C₂²	1	2	yes	complemented
96	C₁₃×#542	C₂²	1	8	yes	complemented
97	C₁₃×#542	C₂²	1	4	yes	complemented
98	C₁₃×#542	C₂²	1	8	yes	complemented
99	C₁₃×#542	C₂²	1	4	yes	complemented
100	C₁₃×#542	C₂²	1	4	yes	complemented
101	C₁₃×#542	C₂²	1	4	yes	complemented
102	C₁₃×#542	C₂²	1	4	yes	complemented
103	C₁₃×#541	C₂²	1	2	yes	complemented
104	C₁₃×#540	C₂²	1	8	yes	complemented
105	C₁₃×#540	C₂²	1	2	yes	complemented
106	C₁₃×#539	C₂²	1	4	yes	complemented
107	C₁₃×#539	C₂²	1	8	yes	complemented
108	C₁₃×#539	C₂²	1	2	yes	complemented
109	C₁₃×#539	C₂²	1	8	yes	complemented
110	C₁₃×#539	C₂²	1	2	yes	complemented
111	C₁₃×#538	C₂²	1	2	yes	complemented
112	C₁₃×#538	C₂²	1	8	yes	complemented
113	C₁₃×#538	C₂²	1	8	yes	complemented
114	C₁₃×#538	C₂²	1	8	yes	complemented
115	C₁₃×#538	C₂²	1	8	yes	complemented
116	C₁₃×#538	C₂²	1	8	yes	complemented
117	C₁₃×#538	C₂²	1	8	yes	complemented
118	C₁₃×#538	C₂²	1	2	yes	complemented
119	C₁₃×#538	C₂²	1	4	yes	complemented
120	C₁₃×#537	C₂²	1	4	yes	complemented
121	C₁₃×#537	C₂²	1	8	yes	complemented
122	C₁₃×#537	C₂²	1	2	yes	complemented
123	C₁₃×#537	C₂²	1	4	yes	complemented
124	C₁₃×#537	C₂²	1	4	yes	complemented
125	C₁₃×#537	C₂²	1	2	yes	complemented
126	C₁₃×#537	C₂²	1	2	yes	complemented
127	C₁₃×#537	C₂²	1	2	yes	complemented
128	C₁₃×#536	C₂²	1	4	yes	complemented
129	C₁₃×#536	C₂²	1	2	yes	complemented
130	C₁₃×#536	C₂²	1	4	yes	complemented
131	C₁₃×#536	C₂²	1	2	yes	complemented
132	C₁₃×#536	C₂²	1	2	yes	complemented
133	C₁₃×#535	C₂²	1	4	yes	complemented
134	C₁₃×#535	C₂²	1	8	yes	complemented
135	C₁₃×#535	C₂²	1	2	yes	complemented
136	C₁₃×#535	C₂²	1	4	yes	complemented
137	C₁₃×#535	C₂²	1	2	yes	complemented
138	C₁₃×#535	C₂²	1	2	yes	complemented
139	C₁₃×#534	C₂²	1	2	yes	complemented
140	C₁₃×#534	C₂²	1	8	yes	complemented
141	C₁₃×#534	C₂²	1	2	yes	complemented
142	C₁₃×#534	C₂²	1	4	yes	complemented
143	C₁₃×#533	C₂²	1	4	yes	complemented
144	C₁₃×#533	C₂²	1	1	yes	characteristic, complemented
145	C₁₃×#532	C₂²	1	1	yes	characteristic
146	C₁₃×#532	C₂²	1	4	yes	complemented
147	C₁₃×#532	C₂²	1	4	yes	complemented
148	C₁₃×#532	C₂²	1	4	yes	complemented
149	C₁₃×#532	C₂²	1	1	yes	characteristic, complemented
150	C₁₃×#532	C₂²	1	2	yes	complemented
151	C₁₃×#532	C₂²	1	1	yes	characteristic, complemented
152	C₂×C₁₃×C₄⋊Q₈	C₂²	1	1	yes	characteristic, complemented
153	C₁₃×#529	C₂²	1	4	yes	complemented
154	C₁₃×#529	C₂²	1	4	yes	complemented
155	C₁₃×#529	C₂²	1	4	yes	complemented
156	C₂×C₁₃×#126	C₂²	1	2	yes	complemented
157	C₂×C₁₃×#124	C₂²	1	2	yes	complemented
158	C₂×C₁₃×#124	C₂²	1	4	yes	complemented
159	C₂×C₁₃×#124	C₂²	1	1	yes	characteristic, complemented
160	C₁₃×#525	C₂²	1	4	yes	complemented
161	C₁₃×#525	C₂²	1	4	yes	complemented
162	C₁₃×#525	C₂²	1	4	yes	complemented
163	C₁₃×#525	C₂²	1	4	yes	complemented
164	C₁₃×#525	C₂²	1	4	yes	complemented
165	C₁₃×#525	C₂²	1	2	yes	complemented
166	C₂×C₁₃×#123	C₂²	1	2	yes	complemented
167	C₂×C₁₃×C₂²⋊Q₈	C₂²	1	2	yes	complemented
168	C₂×C₁₃×C₂²⋊Q₈	C₂²	1	4	yes	complemented
169	C₂×C₁₃×C₂²⋊Q₈	C₂²	1	1	yes	characteristic, complemented
170	C₂×C₁₃×#121	C₂²	1	1	yes	characteristic
171	C₂×C₁₃×#121	C₂²	1	4	yes	complemented
172	C₂×C₁₃×#121	C₂²	1	4	yes	complemented
173	C₁₃×#520	C₂²	1	2	yes	complemented
174	C₁₃×#520	C₂²	1	2	yes	complemented
175	C₄×C₁₃×#41	C₂²	1	2	yes	complemented
176	C₂×C₄×Q₈×C₁₃	C₂²	1	1	yes	characteristic, complemented
177	C₂×C₄×D₄×C₁₃	C₂²	1	1	yes	characteristic, complemented
178	C₂×C₁₃×#117	C₂²	1	1	yes	characteristic, complemented
179	C₁₃×2₋¹⁺⁴	—	4	8	no	—
180	C₁₃×H(5,𝔽₂)	—	4	8	no	—
181	C₂×C₁₃×#41	—	4	8	no	—
182	C₂×C₁₃×#41	C₂³	1	2	yes	—
183	C₂×C₁₃×#41	C₂³	1	2	yes	—
184	C₂×C₁₃×#41	C₂³	1	2	yes	—
185	C₂×C₁₃×#41	C₂³	1	4	yes	—
186	C₂×C₁₃×#41	C₂³	1	4	yes	—
187	C₂×C₁₃×#41	C₂³	1	4	yes	—
188	C₂×C₁₃×#41	C₂³	1	4	yes	—
189	C₂×C₁₃×#41	C₂³	1	4	yes	—
190	C₂×C₁₃×#41	C₂³	1	8	yes	—
191	C₂×C₁₃×#41	C₂³	1	2	yes	—
192	C₂×C₁₃×#41	C₂³	1	2	yes	—
193	C₂×C₁₃×#41	C₂³	1	4	yes	—
194	C₂×C₁₃×#41	C₂³	1	4	yes	—
195	C₂×C₁₃×#41	C₂³	1	8	yes	—
196	C₂²×Q₈×C₁₃	C₂³	1	1	yes	characteristic
197	C₂²×Q₈×C₁₃	C₂³	1	4	yes	—
198	C₂²×Q₈×C₁₃	C₂³	1	4	yes	—
199	C₂²×Q₈×C₁₃	C₂³	1	2	yes	—
200	C₂²×Q₈×C₁₃	C₂³	1	2	yes	—
201	C₂²×D₄×C₁₃	C₂³	1	1	yes	characteristic
202	C₂²×D₄×C₁₃	C₂³	1	8	yes	—
203	C₂²×D₄×C₁₃	C₂³	1	4	yes	—
204	C₂²×D₄×C₁₃	C₂³	1	4	yes	—
205	C₂²×D₄×C₁₃	C₂³	1	4	yes	—
206	C₂²×D₄×C₁₃	C₂³	1	2	yes	—
207	C₂²×D₄×C₁₃	C₂³	1	2	yes	—
208	C₂²×D₄×C₁₃	C₂³	1	4	yes	—
209	C₂²×D₄×C₁₃	C₂³	1	8	yes	—
210	C₂³×C₄×C₁₃	C₂³	1	1	yes	characteristic
211	C₂³×C₄×C₁₃	C₂³	1	4	yes	—
212	C₂³×C₄×C₁₃	C₂³	1	2	yes	—
213	C₁₃×C₄⋊Q₈	C₂³	1	4	yes	—
214	C₁₃×C₄⋊Q₈	C₂³	1	4	yes	—
215	C₁₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
216	C₁₃×C₄⋊Q₈	C₂³	1	2	yes	—
217	C₁₃×C₄⋊Q₈	C₂³	1	4	yes	—
218	C₁₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
219	C₁₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
220	C₁₃×C₄⋊Q₈	C₂³	1	4	yes	—
221	C₁₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
222	C₁₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
223	C₁₃×C₄⋊Q₈	C₂³	1	8	yes	—
224	C₁₃×#127	C₂³	1	1	yes	characteristic
225	C₁₃×#127	C₂³	1	2	yes	—
226	C₁₃×#127	C₂³	1	4	yes	—
227	C₁₃×#127	C₂³	1	1	yes	characteristic
228	C₁₃×#127	C₂³	1	4	yes	—
229	C₁₃×#127	C₂³	1	1	yes	characteristic
230	C₁₃×#127	C₂³	1	8	yes	—
231	C₁₃×#126	C₂³	1	8	yes	—
232	C₁₃×#126	C₂³	1	8	yes	—
233	C₁₃×#126	C₂³	1	4	yes	—
234	C₁₃×#126	C₂³	1	4	yes	—
235	C₁₃×#126	C₂³	1	4	yes	—
236	C₁₃×#126	C₂³	1	4	yes	—
237	C₁₃×#126	C₂³	1	8	yes	—
238	C₁₃×#126	C₂³	1	8	yes	—
239	C₁₃×#126	C₂³	1	8	yes	—
240	C₁₃×#126	C₂³	1	8	yes	—
241	C₁₃×#126	C₂³	1	8	yes	—
242	C₁₃×#125	C₂³	1	4	yes	—
243	C₁₃×#125	C₂³	1	4	yes	—
244	C₁₃×#125	C₂³	1	4	yes	—
245	C₁₃×#125	C₂³	1	8	yes	—
246	C₁₃×#125	C₂³	1	2	yes	—
247	C₁₃×#125	C₂³	1	8	yes	—
248	C₁₃×#124	C₂³	1	2	yes	—
249	C₁₃×#124	C₂³	1	4	yes	—
250	C₁₃×#124	C₂³	1	4	yes	—
251	C₁₃×#124	C₂³	1	4	yes	—
252	C₁₃×#124	C₂³	1	8	yes	—
253	C₁₃×#124	C₂³	1	8	yes	—
254	C₁₃×#124	C₂³	1	4	yes	—
255	C₁₃×#124	C₂³	1	8	yes	—
256	C₁₃×#124	C₂³	1	8	yes	—
257	C₁₃×#124	C₂³	1	4	yes	—
258	C₁₃×#124	C₂³	1	4	yes	—
259	C₁₃×#124	C₂³	1	4	yes	—
260	C₁₃×#124	C₂³	1	2	yes	—
261	C₁₃×#124	C₂³	1	2	yes	—
262	C₁₃×#124	C₂³	1	2	yes	—
263	C₁₃×#124	C₂³	1	8	yes	—
264	C₁₃×#124	C₂³	1	8	yes	—
265	C₁₃×#124	C₂³	1	2	yes	—
266	C₁₃×#124	C₂³	1	8	yes	—
267	C₁₃×#124	C₂³	1	8	yes	—
268	C₁₃×#124	C₂³	1	8	yes	—
269	C₁₃×#124	C₂³	1	8	yes	—
270	C₁₃×#124	C₂³	1	8	yes	—
271	C₁₃×#123	C₂³	1	8	yes	—
272	C₁₃×#123	C₂³	1	8	yes	—
273	C₁₃×#123	C₂³	1	4	yes	—
274	C₁₃×#123	C₂³	1	4	yes	—
275	C₁₃×#123	C₂³	1	4	yes	—
276	C₁₃×#123	C₂³	1	4	yes	—
277	C₁₃×#123	C₂³	1	8	yes	—
278	C₁₃×#123	C₂³	1	8	yes	—
279	C₁₃×#123	C₂³	1	8	yes	—
280	C₁₃×#123	C₂³	1	4	yes	—
281	C₁₃×#123	C₂³	1	8	yes	—
282	C₁₃×#123	C₂³	1	4	yes	—
283	C₁₃×#123	C₂³	1	4	yes	—
284	C₁₃×#123	C₂³	1	4	yes	—
285	C₁₃×#123	C₂³	1	4	yes	—
286	C₁₃×#123	C₂³	1	8	yes	—
287	C₁₃×#123	C₂³	1	8	yes	—
288	C₁₃×#123	C₂³	1	8	yes	—
289	C₁₃×#123	C₂³	1	8	yes	—
290	C₁₃×#123	C₂³	1	8	yes	—
291	C₁₃×#123	C₂³	1	8	yes	—
292	C₁₃×#123	C₂³	1	8	yes	—
293	C₁₃×#123	C₂³	1	8	yes	—
294	C₁₃×#123	C₂³	1	8	yes	—
295	C₁₃×#123	C₂³	1	8	yes	—
296	C₁₃×C₂²⋊Q₈	C₂³	1	4	yes	—
297	C₁₃×C₂²⋊Q₈	C₂³	1	2	yes	—
298	C₁₃×C₂²⋊Q₈	C₂³	1	4	yes	—
299	C₁₃×C₂²⋊Q₈	C₂³	1	4	yes	—
300	C₁₃×C₂²⋊Q₈	C₂³	1	8	yes	—
301	C₁₃×C₂²⋊Q₈	C₂³	1	8	yes	—
302	C₁₃×C₂²⋊Q₈	C₂³	1	8	yes	—
303	C₁₃×C₂²⋊Q₈	C₂³	1	4	yes	—
304	C₁₃×C₂²⋊Q₈	C₂³	1	8	yes	—
305	C₁₃×C₂²⋊Q₈	C₂³	1	2	yes	—
306	C₁₃×C₂²⋊Q₈	C₂³	1	2	yes	—
307	C₁₃×C₂²⋊Q₈	C₂³	1	4	yes	—
308	C₁₃×C₂²⋊Q₈	C₂³	1	4	yes	—
309	C₁₃×C₂²⋊Q₈	C₂³	1	4	yes	—
310	C₁₃×C₂²⋊Q₈	C₂³	1	4	yes	—
311	C₁₃×C₂²⋊Q₈	C₂³	1	4	yes	—
312	C₁₃×C₂²⋊Q₈	C₂³	1	4	yes	—
313	C₁₃×C₂²⋊Q₈	C₂³	1	4	yes	—
314	C₁₃×C₂²⋊Q₈	C₂³	1	2	yes	—
315	C₁₃×C₂²⋊Q₈	C₂³	1	4	yes	—
316	C₁₃×C₂²⋊Q₈	C₂³	1	4	yes	—
317	C₁₃×C₂²⋊Q₈	C₂³	1	4	yes	—
318	C₁₃×C₂²⋊Q₈	C₂³	1	4	yes	—
319	C₁₃×C₂²⋊Q₈	C₂³	1	8	yes	—
320	C₁₃×C₂²⋊Q₈	C₂³	1	8	yes	—
321	C₁₃×C₂²⋊Q₈	C₂³	1	8	yes	—
322	C₁₃×C₂²⋊Q₈	C₂³	1	8	yes	—
323	C₁₃×C₂²⋊Q₈	C₂³	1	8	yes	—
324	C₁₃×C₂²⋊Q₈	C₂³	1	8	yes	—
325	C₁₃×C₂²⋊Q₈	C₂³	1	8	yes	—
326	C₁₃×C₂²⋊Q₈	C₂³	1	8	yes	—
327	C₁₃×C₂²⋊Q₈	C₂³	1	8	yes	—
328	C₁₃×C₂²⋊Q₈	C₂³	1	8	yes	—
329	C₁₃×#121	C₂³	1	4	yes	—
330	C₁₃×#121	C₂³	1	4	yes	—
331	C₁₃×#121	C₂³	1	2	yes	—
332	C₁₃×#121	C₂³	1	2	yes	—
333	C₁₃×#121	C₂³	1	2	yes	—
334	C₁₃×#121	C₂³	1	8	yes	—
335	C₁₃×#121	C₂³	1	4	yes	—
336	C₁₃×#121	C₂³	1	4	yes	—
337	C₁₃×#121	C₂³	1	8	yes	—
338	C₁₃×#121	C₂³	1	8	yes	—
339	C₁₃×#121	C₂³	1	4	yes	—
340	C₁₃×#121	C₂³	1	8	yes	—
341	C₁₃×#121	C₂³	1	4	yes	—
342	C₁₃×#121	C₂³	1	2	yes	—
343	C₁₃×#121	C₂³	1	2	yes	—
344	C₁₃×#121	C₂³	1	4	yes	—
345	C₁₃×#121	C₂³	1	4	yes	—
346	C₁₃×#121	C₂³	1	4	yes	—
347	C₁₃×#121	C₂³	1	4	yes	—
348	C₁₃×#121	C₂³	1	4	yes	—
349	C₁₃×#121	C₂³	1	4	yes	—
350	C₁₃×#121	C₂³	1	4	yes	—
351	C₁₃×#121	C₂³	1	2	yes	—
352	C₁₃×#121	C₂³	1	4	yes	—
353	C₁₃×#121	C₂³	1	4	yes	—
354	C₁₃×#121	C₂³	1	2	yes	—
355	C₁₃×#121	C₂³	1	2	yes	—
356	C₁₃×#121	C₂³	1	4	yes	—
357	C₁₃×#121	C₂³	1	4	yes	—
358	C₁₃×#121	C₂³	1	8	yes	—
359	C₁₃×#121	C₂³	1	8	yes	—
360	C₁₃×#121	C₂³	1	8	yes	—
361	C₁₃×#121	C₂³	1	4	yes	—
362	C₁₃×#121	C₂³	1	4	yes	—
363	C₁₃×#121	C₂³	1	8	yes	—
364	C₁₃×#121	C₂³	1	8	yes	—
365	C₁₃×#121	C₂³	1	8	yes	—
366	C₁₃×#121	C₂³	1	8	yes	—
367	C₁₃×#121	C₂³	1	8	yes	—
368	C₁₃×#121	C₂³	1	8	yes	—
369	C₁₃×#121	C₂³	1	8	yes	—
370	C₁₃×#121	C₂³	1	8	yes	—
371	C₁₃×#121	C₂³	1	8	yes	—
372	C₁₃×#121	C₂³	1	8	yes	—
373	C₁₃×#121	C₂³	1	8	yes	—
374	C₁₃×#121	C₂³	1	8	yes	—
375	C₁₃×#120	C₂³	1	4	yes	—
376	C₁₃×#120	C₂³	1	4	yes	—
377	C₁₃×#120	C₂³	1	4	yes	—
378	C₁₃×#120	C₂³	1	8	yes	—
379	C₁₃×#120	C₂³	1	4	yes	—
380	C₁₃×#120	C₂³	1	8	yes	—
381	C₁₃×#120	C₂³	1	4	yes	—
382	C₁₃×#120	C₂³	1	8	yes	—
383	C₁₃×#120	C₂³	1	8	yes	—
384	C₁₃×#120	C₂³	1	8	yes	—
385	C₁₃×#120	C₂³	1	8	yes	—
386	C₁₃×#120	C₂³	1	8	yes	—
387	C₁₃×#120	C₂³	1	8	yes	—
388	C₁₃×#120	C₂³	1	8	yes	—
389	C₄×Q₈×C₁₃	C₂³	1	2	yes	—
390	C₄×Q₈×C₁₃	C₂³	1	2	yes	—
391	C₄×Q₈×C₁₃	C₂³	1	2	yes	—
392	C₄×Q₈×C₁₃	C₂³	1	2	yes	—
393	C₄×Q₈×C₁₃	C₂³	1	2	yes	—
394	C₄×Q₈×C₁₃	C₂³	1	2	yes	—
395	C₄×Q₈×C₁₃	C₂³	1	4	yes	—
396	C₄×Q₈×C₁₃	C₂³	1	4	yes	—
397	C₄×Q₈×C₁₃	C₂³	1	2	yes	—
398	C₄×Q₈×C₁₃	C₂³	1	2	yes	—
399	C₄×Q₈×C₁₃	C₂³	1	4	yes	—
400	C₄×Q₈×C₁₃	C₂³	1	8	yes	—
401	C₄×D₄×C₁₃	C₂³	1	2	yes	—
402	C₄×D₄×C₁₃	C₂³	1	2	yes	—
403	C₄×D₄×C₁₃	C₂³	1	2	yes	—
404	C₄×D₄×C₁₃	C₂³	1	2	yes	—
405	C₄×D₄×C₁₃	C₂³	1	4	yes	—
406	C₄×D₄×C₁₃	C₂³	1	4	yes	—
407	C₄×D₄×C₁₃	C₂³	1	2	yes	—
408	C₄×D₄×C₁₃	C₂³	1	2	yes	—
409	C₄×D₄×C₁₃	C₂³	1	8	yes	—
410	C₄×D₄×C₁₃	C₂³	1	8	yes	—
411	C₄×D₄×C₁₃	C₂³	1	4	yes	—
412	C₄×D₄×C₁₃	C₂³	1	4	yes	—
413	C₄×D₄×C₁₃	C₂³	1	2	yes	—
414	C₄×D₄×C₁₃	C₂³	1	2	yes	—
415	C₄×D₄×C₁₃	C₂³	1	4	yes	—
416	C₄×D₄×C₁₃	C₂³	1	4	yes	—
417	C₄×D₄×C₁₃	C₂³	1	2	yes	—
418	C₄×D₄×C₁₃	C₂³	1	2	yes	—
419	C₄×D₄×C₁₃	C₂³	1	4	yes	—
420	C₄×D₄×C₁₃	C₂³	1	4	yes	—
421	C₄×D₄×C₁₃	C₂³	1	8	yes	—
422	C₄×D₄×C₁₃	C₂³	1	8	yes	—
423	C₄×D₄×C₁₃	C₂³	1	8	yes	—
424	C₄×D₄×C₁₃	C₂³	1	8	yes	—
425	C₄×D₄×C₁₃	C₂³	1	8	yes	—
426	C₄×D₄×C₁₃	C₂³	1	2	yes	—
427	C₄×D₄×C₁₃	C₂³	1	2	yes	—
428	C₄×D₄×C₁₃	C₂³	1	4	yes	—
429	C₄×D₄×C₁₃	C₂³	1	8	yes	—
430	C₄×D₄×C₁₃	C₂³	1	8	yes	—
431	C₄×D₄×C₁₃	C₂³	1	4	yes	—
432	C₄×D₄×C₁₃	C₂³	1	4	yes	—
433	C₄×D₄×C₁₃	C₂³	1	8	yes	—
434	C₄×D₄×C₁₃	C₂³	1	8	yes	—
435	C₁₃×#117	C₂³	1	2	yes	—
436	C₁₃×#117	C₂³	1	2	yes	—
437	C₁₃×#117	C₂³	1	2	yes	—
438	C₁₃×#117	C₂³	1	2	yes	—
439	C₁₃×#117	C₂³	1	2	yes	—
440	C₁₃×#117	C₂³	1	4	yes	—
441	C₁₃×#117	C₂³	1	4	yes	—
442	C₁₃×#117	C₂³	1	4	yes	—
443	C₁₃×#117	C₂³	1	4	yes	—
444	C₁₃×#117	C₂³	1	8	yes	—
445	C₁₃×#117	C₂³	1	8	yes	—
446	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
447	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
448	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
449	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
450	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
451	C₂×C₁₃×C₄⋊C₄	C₂³	1	4	yes	—
452	C₂×C₁₃×C₄⋊C₄	C₂³	1	4	yes	—
453	C₂×C₁₃×C₄⋊C₄	C₂³	1	4	yes	—
454	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
455	C₂×C₁₃×C₄⋊C₄	C₂³	1	8	yes	—
456	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
457	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
458	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
459	C₂×C₁₃×C₂²⋊C₄	C₂³	1	2	yes	—
460	C₂×C₁₃×C₂²⋊C₄	C₂³	1	2	yes	—
461	C₂×C₁₃×C₂²⋊C₄	C₂³	1	8	yes	—
462	C₂×C₁₃×C₂²⋊C₄	C₂³	1	8	yes	—
463	C₂×C₁₃×C₂²⋊C₄	C₂³	1	2	yes	—
464	C₂×C₁₃×C₂²⋊C₄	C₂³	1	2	yes	—
465	C₂×C₁₃×C₂²⋊C₄	C₂³	1	8	yes	—
466	C₂×C₁₃×C₂²⋊C₄	C₂³	1	2	yes	—
467	C₂×C₁₃×C₂²⋊C₄	C₂³	1	8	yes	—
468	C₂×C₁₃×C₂²⋊C₄	C₂³	1	8	yes	—
469	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
470	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
471	C₂×C₄²×C₁₃	C₂³	1	2	yes	—
472	C₂×C₄²×C₁₃	C₂³	1	4	yes	—
473	#62878	C₁₃	1	1	yes	maximal, characteristic, direct product factor, Sylow
474	C₂⁴×C₁₃	C₂⁴	1	1	yes	characteristic
475	C₂⁴×C₁₃	C₂⁴	1	2	yes	—
476	C₂⁴×C₁₃	C₂⁴	1	8	yes	—
477	C₂⁴×C₁₃	C₂⁴	1	4	yes	—
478	C₁₃×#41	—	2	8	no	—
479	C₁₃×#41	—	2	8	no	—
480	C₁₃×#41	—	2	8	no	—
481	C₁₃×#41	—	4	8	no	—
482	C₁₃×#41	—	4	8	no	—
483	C₁₃×#41	—	4	16	no	—
484	C₁₃×#41	—	4	4	no	—
485	C₁₃×#41	—	4	4	no	—
486	C₁₃×#41	—	4	8	no	—
487	C₁₃×#41	—	4	8	no	—
488	C₁₃×#41	—	4	8	no	—
489	C₁₃×#41	—	4	8	no	—
490	C₁₃×#41	—	8	4	no	—
491	C₁₃×#41	—	8	8	no	—
492	C₂×Q₈×C₁₃	—	2	4	no	—
493	C₂×Q₈×C₁₃	—	4	4	no	—
494	C₂×Q₈×C₁₃	—	4	8	no	—
495	C₂×Q₈×C₁₃	—	4	8	no	—
496	C₂×Q₈×C₁₃	—	8	2	no	—
497	C₂×Q₈×C₁₃	C₂⁴	1	2	yes	—
498	C₂×Q₈×C₁₃	C₂⁴	1	2	yes	—
499	C₂×Q₈×C₁₃	C₂⁴	1	2	yes	—
500	C₂×Q₈×C₁₃	C₂⁴	1	2	yes	—
501	C₂×Q₈×C₁₃	C₂⁴	1	2	yes	—
502	C₂×Q₈×C₁₃	C₂⁴	1	2	yes	—
503	C₂×Q₈×C₁₃	C₂⁴	1	2	yes	—
504	C₂×Q₈×C₁₃	C₂⁴	1	8	yes	—
505	C₂×Q₈×C₁₃	C₂⁴	1	4	yes	—
506	C₂×Q₈×C₁₃	C₂⁴	1	8	yes	—
507	C₂×D₄×C₁₃	—	2	4	no	—
508	C₂×D₄×C₁₃	—	4	4	no	—
509	C₂×D₄×C₁₃	—	4	8	no	—
510	C₂×D₄×C₁₃	—	4	8	no	—
511	C₂×D₄×C₁₃	—	4	8	no	—
512	C₂×D₄×C₁₃	—	4	16	no	—
513	C₂×D₄×C₁₃	—	8	4	no	—
514	C₂×D₄×C₁₃	—	8	2	no	—
515	C₂×D₄×C₁₃	—	8	8	no	—
516	C₂×D₄×C₁₃	C₂⁴	1	4	yes	—
517	C₂×D₄×C₁₃	C₂⁴	1	4	yes	—
518	C₂×D₄×C₁₃	C₂⁴	1	4	yes	—
519	C₂×D₄×C₁₃	C₂⁴	1	2	yes	—
520	C₂×D₄×C₁₃	C₂⁴	1	2	yes	—
521	C₂×D₄×C₁₃	C₂⁴	1	2	yes	—
522	C₂×D₄×C₁₃	C₂⁴	1	2	yes	—
523	C₂×D₄×C₁₃	C₂⁴	1	2	yes	—
524	C₂×D₄×C₁₃	C₂⁴	1	2	yes	—
525	C₂×D₄×C₁₃	C₂⁴	1	4	yes	—
526	C₂×D₄×C₁₃	C₂⁴	1	4	yes	—
527	C₂×D₄×C₁₃	C₂⁴	1	8	yes	—
528	C₂×D₄×C₁₃	C₂⁴	1	2	yes	—
529	C₂×D₄×C₁₃	C₂⁴	1	2	yes	—
530	C₂×D₄×C₁₃	C₂⁴	1	4	yes	—
531	C₂×D₄×C₁₃	C₂⁴	1	8	yes	—
532	C₂×D₄×C₁₃	C₂⁴	1	2	yes	—
533	C₂×D₄×C₁₃	C₂⁴	1	8	yes	—
534	C₂×D₄×C₁₃	C₂⁴	1	2	yes	—
535	C₂×D₄×C₁₃	C₂⁴	1	8	yes	—
536	C₂×D₄×C₁₃	C₂⁴	1	4	yes	—
537	C₂×D₄×C₁₃	C₂⁴	1	8	yes	—
538	C₂×D₄×C₁₃	C₂⁴	1	2	yes	—
539	C₂×D₄×C₁₃	C₂⁴	1	4	yes	—
540	C₂×D₄×C₁₃	C₂⁴	1	8	yes	—
541	C₂×D₄×C₁₃	C₂⁴	1	4	yes	—
542	C₂×D₄×C₁₃	C₂⁴	1	8	yes	—
543	C₂×D₄×C₁₃	C₂⁴	1	4	yes	—
544	C₂×D₄×C₁₃	C₂⁴	1	8	yes	—
545	C₂²×C₄×C₁₃	—	2	4	no	—
546	C₂²×C₄×C₁₃	—	4	8	no	—
547	C₂²×C₄×C₁₃	—	8	2	no	—
548	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
549	C₂²×C₄×C₁₃	C₂⁴	1	4	yes	—
550	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
551	C₂²×C₄×C₁₃	C₂⁴	1	4	yes	—
552	C₂²×C₄×C₁₃	C₂⁴	1	4	yes	—
553	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
554	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
555	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
556	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
557	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
558	C₂²×C₄×C₁₃	C₂⁴	1	4	yes	—
559	C₂²×C₄×C₁₃	C₂⁴	1	4	yes	—
560	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
561	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
562	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
563	C₂²×C₄×C₁₃	C₂⁴	1	4	yes	—
564	C₂²×C₄×C₁₃	C₂⁴	1	8	yes	—
565	C₂²×C₄×C₁₃	C₂⁴	1	4	yes	—
566	C₂²×C₄×C₁₃	C₂⁴	1	8	yes	—
567	C₂²×C₄×C₁₃	C₂⁴	1	8	yes	—
568	C₂²×C₄×C₁₃	C₂⁴	1	8	yes	—
569	C₂²×C₄×C₁₃	C₂⁴	1	8	yes	—
570	C₂²×C₄×C₁₃	C₂⁴	1	4	yes	—
571	C₂²×C₄×C₁₃	C₂⁴	1	4	yes	—
572	C₂²×C₄×C₁₃	C₂⁴	1	4	yes	—
573	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
574	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
575	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
576	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
577	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
578	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
579	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
580	C₁₃×C₄⋊C₄	C₂⁴	1	8	yes	—
581	C₁₃×C₄⋊C₄	C₂⁴	1	8	yes	—
582	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
583	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
584	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
585	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
586	C₁₃×C₄⋊C₄	C₂⁴	1	8	yes	—
587	C₁₃×C₄⋊C₄	C₂⁴	1	8	yes	—
588	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
589	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
590	C₁₃×C₄⋊C₄	C₂⁴	1	8	yes	—
591	C₁₃×C₄⋊C₄	C₂⁴	1	8	yes	—
592	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
593	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
594	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
595	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
596	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
597	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
598	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
599	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
600	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
601	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
602	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
603	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
604	C₁₃×C₄⋊C₄	C₂⁴	1	8	yes	—
605	C₁₃×C₄⋊C₄	C₂⁴	1	8	yes	—
606	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
607	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
608	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
609	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
610	C₁₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
611	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
612	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
613	C₁₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
614	C₁₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
615	C₁₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
616	C₁₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
617	C₁₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
618	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
619	C₁₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
620	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
621	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
622	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
623	C₁₃×C₂²⋊C₄	C₂⁴	1	2	yes	—
624	C₁₃×C₂²⋊C₄	C₂⁴	1	2	yes	—
625	C₁₃×C₂²⋊C₄	C₂⁴	1	2	yes	—
626	C₁₃×C₂²⋊C₄	C₂⁴	1	2	yes	—
627	C₁₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
628	C₁₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
629	C₁₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
630	C₁₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
631	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
632	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
633	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
634	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
635	C₁₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
636	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
637	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
638	C₁₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
639	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
640	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
641	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
642	C₁₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
643	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
644	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
645	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
646	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
647	C₄²×C₁₃	C₂⁴	1	2	yes	—
648	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
649	C₄²×C₁₃	C₂⁴	1	2	yes	—
650	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
651	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
652	C₄²×C₁₃	C₂⁴	1	4	yes	—
653	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
654	C₄²×C₁₃	C₂⁴	1	4	yes	—
655	C₄²×C₁₃	C₂⁴	1	4	yes	—
656	C₄²×C₁₃	C₂⁴	1	4	yes	—
657	C₄²×C₁₃	C₂⁴	1	4	yes	—
658	C₄²×C₁₃	C₂⁴	1	8	yes	—
659	C₄²×C₁₃	C₂⁴	1	8	yes	—
660	#3561	C₂×C₁₃	1	4	yes	complemented
661	#3560	C₂×C₁₃	1	4	yes	complemented
662	#3558	C₂×C₁₃	1	4	yes	complemented
663	#3558	C₂×C₁₃	1	4	yes	complemented
664	#3554	C₂×C₁₃	1	4	yes	complemented
665	#3546	C₂×C₁₃	1	4	yes	complemented
666	#3542	C₂×C₁₃	1	4	yes	complemented
667	#3541	C₂×C₁₃	1	4	yes	complemented
668	#3540	C₂×C₁₃	1	4	yes	complemented
669	#3536	C₂×C₁₃	1	4	yes	complemented
670	#3536	C₂×C₁₃	1	4	yes	complemented
671	#3534	C₂×C₁₃	1	4	yes	complemented
672	#3511	C₂×C₁₃	1	2	yes	complemented
673	#3507	C₂×C₁₃	1	1	yes	characteristic, complemented
674	#3506	C₂×C₁₃	1	1	yes	characteristic, complemented
675	#3500	C₂×C₁₃	1	2	yes	complemented
676	#3497	C₂×C₁₃	1	1	yes	characteristic, complemented
677	#3496	C₂×C₁₃	1	1	yes	characteristic, complemented
678	#3489	C₂×C₁₃	1	2	yes	complemented
679	#3488	C₂×C₁₃	1	2	yes	complemented
680	#3455	C₂×C₁₃	1	1	yes	characteristic, complemented
681	C₂×#542	C₂×C₁₃	1	1	yes	characteristic, complemented
682	#3449	C₂×C₁₃	1	1	yes	characteristic, complemented
683	C₂³×C₁₃	—	2	2	no	—
684	C₂³×C₁₃	—	2	4	no	—
685	C₂³×C₁₃	—	4	4	no	—
686	C₂³×C₁₃	—	4	2	no	—
687	C₂³×C₁₃	—	4	1	no	—
688	C₂³×C₁₃	—	4	4	no	—
689	C₂³×C₁₃	—	4	1	no	—
690	C₂³×C₁₃	—	4	2	no	—
691	C₂³×C₁₃	—	4	4	no	—
692	C₂³×C₁₃	—	4	8	no	—
693	C₂³×C₁₃	—	4	8	no	—
694	C₂³×C₁₃	—	4	8	no	—
695	C₂³×C₁₃	C₂⁵	1	2	yes	—
696	C₂³×C₁₃	C₂⁵	1	4	yes	—
697	C₂³×C₁₃	C₂⁵	1	4	yes	—
698	C₂³×C₁₃	C₂⁵	1	4	yes	—
699	C₂³×C₁₃	C₂⁵	1	4	yes	—
700	C₂³×C₁₃	C₂⁵	1	1	yes	characteristic
701	Q₈×C₁₃	—	2	4	no	—
702	Q₈×C₁₃	—	2	4	no	—
703	Q₈×C₁₃	—	2	4	no	—
704	Q₈×C₁₃	—	2	4	no	—
705	Q₈×C₁₃	—	2	4	no	—
706	Q₈×C₁₃	—	4	8	no	—
707	Q₈×C₁₃	—	4	4	no	—
708	Q₈×C₁₃	—	4	8	no	—
709	Q₈×C₁₃	—	4	2	no	—
710	Q₈×C₁₃	—	4	2	no	—
711	D₄×C₁₃	—	2	8	no	—
712	D₄×C₁₃	—	2	8	no	—
713	D₄×C₁₃	—	2	8	no	—
714	D₄×C₁₃	—	2	4	no	—
715	D₄×C₁₃	—	2	4	no	—
716	D₄×C₁₃	—	2	4	no	—
717	D₄×C₁₃	—	2	4	no	—
718	D₄×C₁₃	—	2	4	no	—
719	D₄×C₁₃	—	4	8	no	—
720	D₄×C₁₃	—	4	8	no	—
721	D₄×C₁₃	—	4	4	no	—
722	D₄×C₁₃	—	4	4	no	—
723	D₄×C₁₃	—	4	4	no	—
724	D₄×C₁₃	—	4	2	no	—
725	D₄×C₁₃	—	4	2	no	—
726	D₄×C₁₃	—	4	4	no	—
727	D₄×C₁₃	—	4	8	no	—
728	D₄×C₁₃	—	4	8	no	—
729	D₄×C₁₃	—	4	8	no	—
730	D₄×C₁₃	—	4	8	no	—
731	D₄×C₁₃	—	4	4	no	—
732	D₄×C₁₃	—	4	2	no	—
733	D₄×C₁₃	—	4	2	no	—
734	D₄×C₁₃	—	4	4	no	—
735	D₄×C₁₃	—	4	8	no	—
736	D₄×C₁₃	—	4	2	no	—
737	D₄×C₁₃	—	4	8	no	—
738	D₄×C₁₃	—	4	2	no	—
739	D₄×C₁₃	—	4	4	no	—
740	C₂×C₄×C₁₃	—	2	2	no	—
741	C₂×C₄×C₁₃	—	2	4	no	—
742	C₂×C₄×C₁₃	—	2	4	no	—
743	C₂×C₄×C₁₃	—	2	4	no	—
744	C₂×C₄×C₁₃	—	2	8	no	—
745	C₂×C₄×C₁₃	—	2	8	no	—
746	C₂×C₄×C₁₃	—	2	8	no	—
747	C₂×C₄×C₁₃	—	4	4	no	—
748	C₂×C₄×C₁₃	—	4	4	no	—
749	C₂×C₄×C₁₃	—	4	4	no	—
750	C₂×C₄×C₁₃	—	4	1	no	—
751	C₂×C₄×C₁₃	—	4	4	no	—
752	C₂×C₄×C₁₃	—	4	2	no	—
753	C₂×C₄×C₁₃	—	4	4	no	—
754	C₂×C₄×C₁₃	—	4	1	no	—
755	C₂×C₄×C₁₃	—	4	4	no	—
756	C₂×C₄×C₁₃	—	4	1	no	—
757	C₂×C₄×C₁₃	—	4	8	no	—
758	C₂×C₄×C₁₃	—	4	2	no	—
759	C₂×C₄×C₁₃	—	4	8	no	—
760	C₂×C₄×C₁₃	—	4	8	no	—
761	C₂×C₄×C₁₃	—	4	8	no	—
762	C₂×C₄×C₁₃	—	4	1	no	—
763	C₂×C₄×C₁₃	—	4	8	no	—
764	C₂×C₄×C₁₃	—	4	4	no	—
765	C₂×C₄×C₁₃	H(5,𝔽₂)	1	4	yes	—
766	C₂×C₄×C₁₃	C₂⁵	1	1	yes	characteristic
767	C₂×C₄×C₁₃	C₂⁵	1	4	yes	—
768	C₂×C₄×C₁₃	C₂⁵	1	1	yes	characteristic
769	C₂×C₄×C₁₃	C₂⁵	1	2	yes	—
770	C₂×C₄×C₁₃	C₂⁵	1	2	yes	—
771	C₂×C₄×C₁₃	C₂⁵	1	4	yes	—
772	C₂×C₄×C₁₃	C₂⁵	1	1	yes	characteristic
773	C₂×C₄×C₁₃	C₂⁵	1	4	yes	—
774	C₂×C₄×C₁₃	C₂⁵	1	4	yes	—
775	C₂×C₄×C₁₃	C₂⁵	1	4	yes	—
776	C₂×C₄×C₁₃	C₂⁵	1	4	yes	—
777	C₂×C₄×C₁₃	C₂⁵	1	4	yes	—
778	C₂×C₄×C₁₃	C₂⁵	1	1	yes	characteristic
779	C₂×C₄×C₁₃	C₂⁵	1	4	yes	—
780	C₂×C₄×C₁₃	C₂⁵	1	2	yes	—
781	C₂×C₄×C₁₃	C₂⁵	1	1	yes	characteristic
782	C₂×C₄×C₁₃	C₂⁵	1	1	yes	characteristic
783	C₂×2₋¹⁺⁴	C₂²×C₁₃	1	2	yes	complemented
784	C₂×H(5,𝔽₂)	C₂²×C₁₃	1	2	yes	complemented
785	C₂²×#41	C₂²×C₁₃	1	2	yes	complemented
786	#563	C₂²×C₁₃	1	8	yes	complemented
787	#562	C₂²×C₁₃	1	8	yes	complemented
788	#562	C₂²×C₁₃	1	8	yes	complemented
789	#562	C₂²×C₁₃	1	8	yes	complemented
790	#562	C₂²×C₁₃	1	8	yes	complemented
791	H(3,𝔽₄)	C₂²×C₁₃	1	8	yes	complemented
792	#560	C₂²×C₁₃	1	8	yes	complemented
793	#560	C₂²×C₁₃	1	8	yes	complemented
794	#559	C₂²×C₁₃	1	4	yes	complemented
795	#559	C₂²×C₁₃	1	2	yes	complemented
796	#559	C₂²×C₁₃	1	8	yes	complemented
797	#557	C₂²×C₁₃	1	2	yes	complemented
798	#556	C₂²×C₁₃	1	2	yes	complemented
799	#556	C₂²×C₁₃	1	2	yes	complemented
800	#556	C₂²×C₁₃	1	4	yes	complemented
801	#556	C₂²×C₁₃	1	4	yes	complemented
802	#555	C₂²×C₁₃	1	2	yes	complemented
803	#555	C₂²×C₁₃	1	4	yes	complemented
804	#554	C₂²×C₁₃	1	2	yes	complemented
805	#554	C₂²×C₁₃	1	4	yes	complemented
806	#554	C₂²×C₁₃	1	8	yes	complemented
807	#553	C₂²×C₁₃	1	4	yes	complemented
808	#553	C₂²×C₁₃	1	8	yes	complemented
809	#553	C₂²×C₁₃	1	8	yes	complemented
810	#552	C₂²×C₁₃	1	4	yes	complemented
811	#551	C₂²×C₁₃	1	8	yes	complemented
812	#551	C₂²×C₁₃	1	8	yes	complemented
813	#550	C₂²×C₁₃	1	4	yes	complemented
814	#550	C₂²×C₁₃	1	2	yes	complemented
815	#550	C₂²×C₁₃	1	2	yes	complemented
816	#550	C₂²×C₁₃	1	2	yes	complemented
817	D₄×Q₈	C₂²×C₁₃	1	4	yes	complemented
818	D₄×Q₈	C₂²×C₁₃	1	2	yes	complemented
819	D₄×Q₈	C₂²×C₁₃	1	2	yes	complemented
820	#548	C₂²×C₁₃	1	4	yes	complemented
821	#548	C₂²×C₁₃	1	4	yes	complemented
822	#548	C₂²×C₁₃	1	4	yes	complemented
823	#548	C₂²×C₁₃	1	4	yes	complemented
824	#548	C₂²×C₁₃	1	4	yes	complemented
825	#548	C₂²×C₁₃	1	4	yes	complemented
826	#548	C₂²×C₁₃	1	8	yes	complemented
827	#547	C₂²×C₁₃	1	8	yes	complemented
828	#547	C₂²×C₁₃	1	4	yes	complemented
829	#547	C₂²×C₁₃	1	2	yes	complemented
830	#547	C₂²×C₁₃	1	2	yes	complemented
831	#547	C₂²×C₁₃	1	2	yes	complemented
832	#547	C₂²×C₁₃	1	4	yes	complemented
833	#546	C₂²×C₁₃	1	8	yes	complemented
834	#546	C₂²×C₁₃	1	4	yes	complemented
835	#546	C₂²×C₁₃	1	8	yes	complemented
836	#546	C₂²×C₁₃	1	4	yes	complemented
837	#546	C₂²×C₁₃	1	4	yes	complemented
838	#546	C₂²×C₁₃	1	4	yes	complemented
839	#546	C₂²×C₁₃	1	8	yes	complemented
840	#546	C₂²×C₁₃	1	4	yes	complemented
841	#546	C₂²×C₁₃	1	8	yes	complemented
842	#546	C₂²×C₁₃	1	4	yes	complemented
843	#546	C₂²×C₁₃	1	8	yes	complemented
844	#546	C₂²×C₁₃	1	8	yes	complemented
845	#546	C₂²×C₁₃	1	8	yes	complemented
846	D₄²	C₂²×C₁₃	1	8	yes	complemented
847	D₄²	C₂²×C₁₃	1	4	yes	complemented
848	D₄²	C₂²×C₁₃	1	2	yes	complemented
849	D₄²	C₂²×C₁₃	1	2	yes	complemented
850	#543	C₂²×C₁₃	1	8	yes	complemented
851	#542	C₂²×C₁₃	1	4	yes	complemented
852	#542	C₂²×C₁₃	1	4	yes	complemented
853	#542	C₂²×C₁₃	1	4	yes	complemented
854	#542	C₂²×C₁₃	1	4	yes	complemented
855	#542	C₂²×C₁₃	1	2	yes	complemented
856	#542	C₂²×C₁₃	1	2	yes	complemented
857	#542	C₂²×C₁₃	1	4	yes	complemented
858	#542	C₂²×C₁₃	1	4	yes	complemented
859	#542	C₂²×C₁₃	1	8	yes	complemented
860	#542	C₂²×C₁₃	1	8	yes	complemented
861	#542	C₂²×C₁₃	1	8	yes	complemented
862	#541	C₂²×C₁₃	1	2	yes	complemented
863	#540	C₂²×C₁₃	1	2	yes	complemented
864	#540	C₂²×C₁₃	1	8	yes	complemented
865	#539	C₂²×C₁₃	1	2	yes	complemented
866	#539	C₂²×C₁₃	1	2	yes	complemented
867	#539	C₂²×C₁₃	1	4	yes	complemented
868	#539	C₂²×C₁₃	1	8	yes	complemented
869	#539	C₂²×C₁₃	1	8	yes	complemented
870	#538	C₂²×C₁₃	1	2	yes	complemented
871	#538	C₂²×C₁₃	1	2	yes	complemented
872	#538	C₂²×C₁₃	1	4	yes	complemented
873	#538	C₂²×C₁₃	1	8	yes	complemented
874	#538	C₂²×C₁₃	1	8	yes	complemented
875	#538	C₂²×C₁₃	1	8	yes	complemented
876	#538	C₂²×C₁₃	1	8	yes	complemented
877	#538	C₂²×C₁₃	1	8	yes	complemented
878	#538	C₂²×C₁₃	1	8	yes	complemented
879	#537	C₂²×C₁₃	1	2	yes	complemented
880	#537	C₂²×C₁₃	1	2	yes	complemented
881	#537	C₂²×C₁₃	1	2	yes	complemented
882	#537	C₂²×C₁₃	1	4	yes	complemented
883	#537	C₂²×C₁₃	1	2	yes	complemented
884	#537	C₂²×C₁₃	1	4	yes	complemented
885	#537	C₂²×C₁₃	1	4	yes	complemented
886	#537	C₂²×C₁₃	1	8	yes	complemented
887	#536	C₂²×C₁₃	1	2	yes	complemented
888	#536	C₂²×C₁₃	1	2	yes	complemented
889	#536	C₂²×C₁₃	1	2	yes	complemented
890	#536	C₂²×C₁₃	1	4	yes	complemented
891	#536	C₂²×C₁₃	1	4	yes	complemented
892	#535	C₂²×C₁₃	1	2	yes	complemented
893	#535	C₂²×C₁₃	1	2	yes	complemented
894	#535	C₂²×C₁₃	1	2	yes	complemented
895	#535	C₂²×C₁₃	1	4	yes	complemented
896	#535	C₂²×C₁₃	1	4	yes	complemented
897	#535	C₂²×C₁₃	1	8	yes	complemented
898	#534	C₂²×C₁₃	1	2	yes	complemented
899	#534	C₂²×C₁₃	1	2	yes	complemented
900	#534	C₂²×C₁₃	1	4	yes	complemented
901	#534	C₂²×C₁₃	1	8	yes	complemented
902	#533	C₂²×C₁₃	1	1	yes	characteristic, complemented
903	#533	C₂²×C₁₃	1	4	yes	complemented
904	#532	C₂²×C₁₃	1	1	yes	characteristic
905	#532	C₂²×C₁₃	1	1	yes	characteristic, complemented
906	#532	C₂²×C₁₃	1	2	yes	complemented
907	#532	C₂²×C₁₃	1	1	yes	characteristic, complemented
908	#532	C₂²×C₁₃	1	4	yes	complemented
909	#532	C₂²×C₁₃	1	4	yes	complemented
910	#532	C₂²×C₁₃	1	4	yes	complemented
911	C₂×C₄⋊Q₈	C₂²×C₁₃	1	1	yes	characteristic, complemented
912	#529	C₂²×C₁₃	1	4	yes	complemented
913	#529	C₂²×C₁₃	1	4	yes	complemented
914	#529	C₂²×C₁₃	1	4	yes	complemented
915	C₂×#126	C₂²×C₁₃	1	2	yes	complemented
916	C₂×#124	C₂²×C₁₃	1	1	yes	characteristic, complemented
917	C₂×#124	C₂²×C₁₃	1	2	yes	complemented
918	C₂×#124	C₂²×C₁₃	1	4	yes	complemented
919	#525	C₂²×C₁₃	1	4	yes	complemented
920	#525	C₂²×C₁₃	1	4	yes	complemented
921	#525	C₂²×C₁₃	1	2	yes	complemented
922	#525	C₂²×C₁₃	1	4	yes	complemented
923	#525	C₂²×C₁₃	1	4	yes	complemented
924	#525	C₂²×C₁₃	1	4	yes	complemented
925	C₂×#123	C₂²×C₁₃	1	2	yes	complemented
926	C₂×C₂²⋊Q₈	C₂²×C₁₃	1	1	yes	characteristic, complemented
927	C₂×C₂²⋊Q₈	C₂²×C₁₃	1	2	yes	complemented
928	C₂×C₂²⋊Q₈	C₂²×C₁₃	1	4	yes	complemented
929	C₂×#121	C₂²×C₁₃	1	1	yes	characteristic
930	C₂×#121	C₂²×C₁₃	1	4	yes	complemented
931	C₂×#121	C₂²×C₁₃	1	4	yes	complemented
932	#520	C₂²×C₁₃	1	2	yes	complemented
933	#520	C₂²×C₁₃	1	2	yes	complemented
934	C₄×#41	C₂²×C₁₃	1	2	yes	complemented
935	C₂×C₄×Q₈	C₂²×C₁₃	1	1	yes	characteristic, complemented
936	C₂×C₄×D₄	C₂²×C₁₃	1	1	yes	characteristic, complemented
937	C₂×#117	C₂²×C₁₃	1	1	yes	characteristic, complemented
938	C₂²×C₁₃	—	2	1	no	—
939	C₂²×C₁₃	—	2	1	no	—
940	C₂²×C₁₃	—	2	2	no	—
941	C₂²×C₁₃	—	2	4	no	—
942	C₂²×C₁₃	—	2	4	no	—
943	C₂²×C₁₃	—	2	4	no	—
944	C₂²×C₁₃	—	2	4	no	—
945	C₂²×C₁₃	—	2	4	no	—
946	C₂²×C₁₃	—	2	4	no	—
947	C₂²×C₁₃	—	2	4	no	—
948	C₂²×C₁₃	—	2	4	no	—
949	C₂²×C₁₃	—	2	2	no	—
950	C₂²×C₁₃	—	2	4	no	—
951	C₂²×C₁₃	—	2	4	no	—
952	C₂²×C₁₃	—	2	2	no	—
953	C₂²×C₁₃	—	2	4	no	—
954	C₂²×C₁₃	—	2	4	no	—
955	C₂²×C₁₃	—	8	2	no	—
956	C₂²×C₁₃	—	8	4	no	—
957	C₂²×C₁₃	—	8	8	no	—
958	C₂²×C₁₃	—	16	8	no	—
959	C₂²×C₁₃	C₂×H(5,𝔽₂)	1	2	yes	—
960	C₂²×C₁₃	C₂⁶	1	1	yes	characteristic
961	C₄×C₁₃	—	2	2	no	—
962	C₄×C₁₃	—	2	4	no	—
963	C₄×C₁₃	—	2	4	no	—
964	C₄×C₁₃	—	2	4	no	—
965	C₄×C₁₃	—	2	4	no	—
966	C₄×C₁₃	—	2	1	no	—
967	C₄×C₁₃	—	2	4	no	—
968	C₄×C₁₃	—	2	1	no	—
969	C₄×C₁₃	—	2	4	no	—
970	C₄×C₁₃	—	2	4	no	—
971	C₄×C₁₃	—	2	2	no	—
972	C₄×C₁₃	—	2	2	no	—
973	C₄×C₁₃	—	2	1	no	—
974	C₄×C₁₃	—	2	4	no	—
975	C₄×C₁₃	—	2	1	no	—
976	C₄×C₁₃	C₂×H(5,𝔽₂)	1	2	yes	—
977	C₄×C₁₃	C₂×H(5,𝔽₂)	1	2	yes	—
978	2₋¹⁺⁴	—	4	8	no	—
979	H(5,𝔽₂)	—	4	8	no	—
980	C₂×#41	—	4	8	no	—
981	C₂×#41	C₂³×C₁₃	1	2	yes	—
982	C₂×#41	C₂³×C₁₃	1	2	yes	—
983	C₂×#41	C₂³×C₁₃	1	2	yes	—
984	C₂×#41	C₂³×C₁₃	1	4	yes	—
985	C₂×#41	C₂³×C₁₃	1	4	yes	—
986	C₂×#41	C₂³×C₁₃	1	4	yes	—
987	C₂×#41	C₂³×C₁₃	1	4	yes	—
988	C₂×#41	C₂³×C₁₃	1	4	yes	—
989	C₂×#41	C₂³×C₁₃	1	8	yes	—
990	C₂×#41	C₂³×C₁₃	1	2	yes	—
991	C₂×#41	C₂³×C₁₃	1	2	yes	—
992	C₂×#41	C₂³×C₁₃	1	4	yes	—
993	C₂×#41	C₂³×C₁₃	1	4	yes	—
994	C₂×#41	C₂³×C₁₃	1	8	yes	—
995	C₂²×Q₈	C₂³×C₁₃	1	1	yes	characteristic
996	C₂²×Q₈	C₂³×C₁₃	1	4	yes	—
997	C₂²×Q₈	C₂³×C₁₃	1	4	yes	—
998	C₂²×Q₈	C₂³×C₁₃	1	2	yes	—
999	C₂²×Q₈	C₂³×C₁₃	1	2	yes	—
1000	C₂²×D₄	C₂³×C₁₃	1	1	yes	characteristic
1001	C₂²×D₄	C₂³×C₁₃	1	8	yes	—
1002	C₂²×D₄	C₂³×C₁₃	1	4	yes	—
1003	C₂²×D₄	C₂³×C₁₃	1	4	yes	—
1004	C₂²×D₄	C₂³×C₁₃	1	4	yes	—
1005	C₂²×D₄	C₂³×C₁₃	1	2	yes	—
1006	C₂²×D₄	C₂³×C₁₃	1	2	yes	—
1007	C₂²×D₄	C₂³×C₁₃	1	4	yes	—
1008	C₂²×D₄	C₂³×C₁₃	1	8	yes	—
1009	C₂³×C₄	C₂³×C₁₃	1	1	yes	characteristic
1010	C₂³×C₄	C₂³×C₁₃	1	4	yes	—
1011	C₂³×C₄	C₂³×C₁₃	1	2	yes	—
1012	C₄⋊Q₈	C₂³×C₁₃	1	4	yes	—
1013	C₄⋊Q₈	C₂³×C₁₃	1	4	yes	—
1014	C₄⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
1015	C₄⋊Q₈	C₂³×C₁₃	1	2	yes	—
1016	C₄⋊Q₈	C₂³×C₁₃	1	4	yes	—
1017	C₄⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
1018	C₄⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
1019	C₄⋊Q₈	C₂³×C₁₃	1	4	yes	—
1020	C₄⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
1021	C₄⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
1022	C₄⋊Q₈	C₂³×C₁₃	1	8	yes	—
1023	#127	C₂³×C₁₃	1	1	yes	characteristic
1024	#127	C₂³×C₁₃	1	2	yes	—
1025	#127	C₂³×C₁₃	1	4	yes	—
1026	#127	C₂³×C₁₃	1	1	yes	characteristic
1027	#127	C₂³×C₁₃	1	4	yes	—
1028	#127	C₂³×C₁₃	1	1	yes	characteristic
1029	#127	C₂³×C₁₃	1	8	yes	—
1030	#126	C₂³×C₁₃	1	8	yes	—
1031	#126	C₂³×C₁₃	1	8	yes	—
1032	#126	C₂³×C₁₃	1	4	yes	—
1033	#126	C₂³×C₁₃	1	4	yes	—
1034	#126	C₂³×C₁₃	1	4	yes	—
1035	#126	C₂³×C₁₃	1	4	yes	—
1036	#126	C₂³×C₁₃	1	8	yes	—
1037	#126	C₂³×C₁₃	1	8	yes	—
1038	#126	C₂³×C₁₃	1	8	yes	—
1039	#126	C₂³×C₁₃	1	8	yes	—
1040	#126	C₂³×C₁₃	1	8	yes	—
1041	#125	C₂³×C₁₃	1	4	yes	—
1042	#125	C₂³×C₁₃	1	4	yes	—
1043	#125	C₂³×C₁₃	1	4	yes	—
1044	#125	C₂³×C₁₃	1	8	yes	—
1045	#125	C₂³×C₁₃	1	2	yes	—
1046	#125	C₂³×C₁₃	1	8	yes	—
1047	#124	C₂³×C₁₃	1	4	yes	—
1048	#124	C₂³×C₁₃	1	2	yes	—
1049	#124	C₂³×C₁₃	1	4	yes	—
1050	#124	C₂³×C₁₃	1	4	yes	—
1051	#124	C₂³×C₁₃	1	8	yes	—
1052	#124	C₂³×C₁₃	1	8	yes	—
1053	#124	C₂³×C₁₃	1	4	yes	—
1054	#124	C₂³×C₁₃	1	8	yes	—
1055	#124	C₂³×C₁₃	1	8	yes	—
1056	#124	C₂³×C₁₃	1	4	yes	—
1057	#124	C₂³×C₁₃	1	4	yes	—
1058	#124	C₂³×C₁₃	1	4	yes	—
1059	#124	C₂³×C₁₃	1	2	yes	—
1060	#124	C₂³×C₁₃	1	2	yes	—
1061	#124	C₂³×C₁₃	1	2	yes	—
1062	#124	C₂³×C₁₃	1	8	yes	—
1063	#124	C₂³×C₁₃	1	8	yes	—
1064	#124	C₂³×C₁₃	1	2	yes	—
1065	#124	C₂³×C₁₃	1	8	yes	—
1066	#124	C₂³×C₁₃	1	8	yes	—
1067	#124	C₂³×C₁₃	1	8	yes	—
1068	#124	C₂³×C₁₃	1	8	yes	—
1069	#124	C₂³×C₁₃	1	8	yes	—
1070	#123	C₂³×C₁₃	1	8	yes	—
1071	#123	C₂³×C₁₃	1	8	yes	—
1072	#123	C₂³×C₁₃	1	4	yes	—
1073	#123	C₂³×C₁₃	1	4	yes	—
1074	#123	C₂³×C₁₃	1	4	yes	—
1075	#123	C₂³×C₁₃	1	4	yes	—
1076	#123	C₂³×C₁₃	1	8	yes	—
1077	#123	C₂³×C₁₃	1	8	yes	—
1078	#123	C₂³×C₁₃	1	8	yes	—
1079	#123	C₂³×C₁₃	1	4	yes	—
1080	#123	C₂³×C₁₃	1	8	yes	—
1081	#123	C₂³×C₁₃	1	4	yes	—
1082	#123	C₂³×C₁₃	1	4	yes	—
1083	#123	C₂³×C₁₃	1	4	yes	—
1084	#123	C₂³×C₁₃	1	4	yes	—
1085	#123	C₂³×C₁₃	1	8	yes	—
1086	#123	C₂³×C₁₃	1	8	yes	—
1087	#123	C₂³×C₁₃	1	8	yes	—
1088	#123	C₂³×C₁₃	1	8	yes	—
1089	#123	C₂³×C₁₃	1	8	yes	—
1090	#123	C₂³×C₁₃	1	8	yes	—
1091	#123	C₂³×C₁₃	1	8	yes	—
1092	#123	C₂³×C₁₃	1	8	yes	—
1093	#123	C₂³×C₁₃	1	8	yes	—
1094	#123	C₂³×C₁₃	1	8	yes	—
1095	C₂²⋊Q₈	C₂³×C₁₃	1	4	yes	—
1096	C₂²⋊Q₈	C₂³×C₁₃	1	2	yes	—
1097	C₂²⋊Q₈	C₂³×C₁₃	1	4	yes	—
1098	C₂²⋊Q₈	C₂³×C₁₃	1	4	yes	—
1099	C₂²⋊Q₈	C₂³×C₁₃	1	8	yes	—
1100	C₂²⋊Q₈	C₂³×C₁₃	1	8	yes	—
1101	C₂²⋊Q₈	C₂³×C₁₃	1	8	yes	—
1102	C₂²⋊Q₈	C₂³×C₁₃	1	4	yes	—
1103	C₂²⋊Q₈	C₂³×C₁₃	1	8	yes	—
1104	C₂²⋊Q₈	C₂³×C₁₃	1	2	yes	—
1105	C₂²⋊Q₈	C₂³×C₁₃	1	2	yes	—
1106	C₂²⋊Q₈	C₂³×C₁₃	1	4	yes	—
1107	C₂²⋊Q₈	C₂³×C₁₃	1	4	yes	—
1108	C₂²⋊Q₈	C₂³×C₁₃	1	4	yes	—
1109	C₂²⋊Q₈	C₂³×C₁₃	1	4	yes	—
1110	C₂²⋊Q₈	C₂³×C₁₃	1	4	yes	—
1111	C₂²⋊Q₈	C₂³×C₁₃	1	4	yes	—
1112	C₂²⋊Q₈	C₂³×C₁₃	1	4	yes	—
1113	C₂²⋊Q₈	C₂³×C₁₃	1	2	yes	—
1114	C₂²⋊Q₈	C₂³×C₁₃	1	4	yes	—
1115	C₂²⋊Q₈	C₂³×C₁₃	1	4	yes	—
1116	C₂²⋊Q₈	C₂³×C₁₃	1	4	yes	—
1117	C₂²⋊Q₈	C₂³×C₁₃	1	4	yes	—
1118	C₂²⋊Q₈	C₂³×C₁₃	1	8	yes	—
1119	C₂²⋊Q₈	C₂³×C₁₃	1	8	yes	—
1120	C₂²⋊Q₈	C₂³×C₁₃	1	8	yes	—
1121	C₂²⋊Q₈	C₂³×C₁₃	1	8	yes	—
1122	C₂²⋊Q₈	C₂³×C₁₃	1	8	yes	—
1123	C₂²⋊Q₈	C₂³×C₁₃	1	8	yes	—
1124	C₂²⋊Q₈	C₂³×C₁₃	1	8	yes	—
1125	C₂²⋊Q₈	C₂³×C₁₃	1	8	yes	—
1126	C₂²⋊Q₈	C₂³×C₁₃	1	8	yes	—
1127	C₂²⋊Q₈	C₂³×C₁₃	1	8	yes	—
1128	#121	C₂³×C₁₃	1	4	yes	—
1129	#121	C₂³×C₁₃	1	4	yes	—
1130	#121	C₂³×C₁₃	1	2	yes	—
1131	#121	C₂³×C₁₃	1	2	yes	—
1132	#121	C₂³×C₁₃	1	2	yes	—
1133	#121	C₂³×C₁₃	1	8	yes	—
1134	#121	C₂³×C₁₃	1	4	yes	—
1135	#121	C₂³×C₁₃	1	4	yes	—
1136	#121	C₂³×C₁₃	1	8	yes	—
1137	#121	C₂³×C₁₃	1	8	yes	—
1138	#121	C₂³×C₁₃	1	4	yes	—
1139	#121	C₂³×C₁₃	1	8	yes	—
1140	#121	C₂³×C₁₃	1	4	yes	—
1141	#121	C₂³×C₁₃	1	2	yes	—
1142	#121	C₂³×C₁₃	1	2	yes	—
1143	#121	C₂³×C₁₃	1	4	yes	—
1144	#121	C₂³×C₁₃	1	4	yes	—
1145	#121	C₂³×C₁₃	1	4	yes	—
1146	#121	C₂³×C₁₃	1	4	yes	—
1147	#121	C₂³×C₁₃	1	4	yes	—
1148	#121	C₂³×C₁₃	1	4	yes	—
1149	#121	C₂³×C₁₃	1	4	yes	—
1150	#121	C₂³×C₁₃	1	2	yes	—
1151	#121	C₂³×C₁₃	1	4	yes	—
1152	#121	C₂³×C₁₃	1	4	yes	—
1153	#121	C₂³×C₁₃	1	2	yes	—
1154	#121	C₂³×C₁₃	1	2	yes	—
1155	#121	C₂³×C₁₃	1	4	yes	—
1156	#121	C₂³×C₁₃	1	4	yes	—
1157	#121	C₂³×C₁₃	1	8	yes	—
1158	#121	C₂³×C₁₃	1	8	yes	—
1159	#121	C₂³×C₁₃	1	8	yes	—
1160	#121	C₂³×C₁₃	1	4	yes	—
1161	#121	C₂³×C₁₃	1	4	yes	—
1162	#121	C₂³×C₁₃	1	8	yes	—
1163	#121	C₂³×C₁₃	1	8	yes	—
1164	#121	C₂³×C₁₃	1	8	yes	—
1165	#121	C₂³×C₁₃	1	8	yes	—
1166	#121	C₂³×C₁₃	1	8	yes	—
1167	#121	C₂³×C₁₃	1	8	yes	—
1168	#121	C₂³×C₁₃	1	8	yes	—
1169	#121	C₂³×C₁₃	1	8	yes	—
1170	#121	C₂³×C₁₃	1	8	yes	—
1171	#121	C₂³×C₁₃	1	8	yes	—
1172	#121	C₂³×C₁₃	1	8	yes	—
1173	#121	C₂³×C₁₃	1	8	yes	—
1174	#120	C₂³×C₁₃	1	4	yes	—
1175	#120	C₂³×C₁₃	1	4	yes	—
1176	#120	C₂³×C₁₃	1	4	yes	—
1177	#120	C₂³×C₁₃	1	8	yes	—
1178	#120	C₂³×C₁₃	1	4	yes	—
1179	#120	C₂³×C₁₃	1	8	yes	—
1180	#120	C₂³×C₁₃	1	4	yes	—
1181	#120	C₂³×C₁₃	1	8	yes	—
1182	#120	C₂³×C₁₃	1	8	yes	—
1183	#120	C₂³×C₁₃	1	8	yes	—
1184	#120	C₂³×C₁₃	1	8	yes	—
1185	#120	C₂³×C₁₃	1	8	yes	—
1186	#120	C₂³×C₁₃	1	8	yes	—
1187	#120	C₂³×C₁₃	1	8	yes	—
1188	C₄×Q₈	C₂³×C₁₃	1	2	yes	—
1189	C₄×Q₈	C₂³×C₁₃	1	2	yes	—
1190	C₄×Q₈	C₂³×C₁₃	1	2	yes	—
1191	C₄×Q₈	C₂³×C₁₃	1	2	yes	—
1192	C₄×Q₈	C₂³×C₁₃	1	2	yes	—
1193	C₄×Q₈	C₂³×C₁₃	1	2	yes	—
1194	C₄×Q₈	C₂³×C₁₃	1	4	yes	—
1195	C₄×Q₈	C₂³×C₁₃	1	4	yes	—
1196	C₄×Q₈	C₂³×C₁₃	1	2	yes	—
1197	C₄×Q₈	C₂³×C₁₃	1	2	yes	—
1198	C₄×Q₈	C₂³×C₁₃	1	4	yes	—
1199	C₄×Q₈	C₂³×C₁₃	1	8	yes	—
1200	C₄×D₄	C₂³×C₁₃	1	2	yes	—
1201	C₄×D₄	C₂³×C₁₃	1	2	yes	—
1202	C₄×D₄	C₂³×C₁₃	1	2	yes	—
1203	C₄×D₄	C₂³×C₁₃	1	2	yes	—
1204	C₄×D₄	C₂³×C₁₃	1	4	yes	—
1205	C₄×D₄	C₂³×C₁₃	1	4	yes	—
1206	C₄×D₄	C₂³×C₁₃	1	2	yes	—
1207	C₄×D₄	C₂³×C₁₃	1	2	yes	—
1208	C₄×D₄	C₂³×C₁₃	1	8	yes	—
1209	C₄×D₄	C₂³×C₁₃	1	8	yes	—
1210	C₄×D₄	C₂³×C₁₃	1	4	yes	—
1211	C₄×D₄	C₂³×C₁₃	1	4	yes	—
1212	C₄×D₄	C₂³×C₁₃	1	2	yes	—
1213	C₄×D₄	C₂³×C₁₃	1	2	yes	—
1214	C₄×D₄	C₂³×C₁₃	1	4	yes	—
1215	C₄×D₄	C₂³×C₁₃	1	4	yes	—
1216	C₄×D₄	C₂³×C₁₃	1	2	yes	—
1217	C₄×D₄	C₂³×C₁₃	1	2	yes	—
1218	C₄×D₄	C₂³×C₁₃	1	4	yes	—
1219	C₄×D₄	C₂³×C₁₃	1	4	yes	—
1220	C₄×D₄	C₂³×C₁₃	1	8	yes	—
1221	C₄×D₄	C₂³×C₁₃	1	8	yes	—
1222	C₄×D₄	C₂³×C₁₃	1	8	yes	—
1223	C₄×D₄	C₂³×C₁₃	1	8	yes	—
1224	C₄×D₄	C₂³×C₁₃	1	8	yes	—
1225	C₄×D₄	C₂³×C₁₃	1	2	yes	—
1226	C₄×D₄	C₂³×C₁₃	1	2	yes	—
1227	C₄×D₄	C₂³×C₁₃	1	4	yes	—
1228	C₄×D₄	C₂³×C₁₃	1	8	yes	—
1229	C₄×D₄	C₂³×C₁₃	1	8	yes	—
1230	C₄×D₄	C₂³×C₁₃	1	4	yes	—
1231	C₄×D₄	C₂³×C₁₃	1	4	yes	—
1232	C₄×D₄	C₂³×C₁₃	1	8	yes	—
1233	C₄×D₄	C₂³×C₁₃	1	8	yes	—
1234	#117	C₂³×C₁₃	1	2	yes	—
1235	#117	C₂³×C₁₃	1	2	yes	—
1236	#117	C₂³×C₁₃	1	2	yes	—
1237	#117	C₂³×C₁₃	1	2	yes	—
1238	#117	C₂³×C₁₃	1	2	yes	—
1239	#117	C₂³×C₁₃	1	4	yes	—
1240	#117	C₂³×C₁₃	1	4	yes	—
1241	#117	C₂³×C₁₃	1	4	yes	—
1242	#117	C₂³×C₁₃	1	4	yes	—
1243	#117	C₂³×C₁₃	1	8	yes	—
1244	#117	C₂³×C₁₃	1	8	yes	—
1245	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1246	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1247	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1248	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1249	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
1250	C₂×C₄⋊C₄	C₂³×C₁₃	1	4	yes	—
1251	C₂×C₄⋊C₄	C₂³×C₁₃	1	4	yes	—
1252	C₂×C₄⋊C₄	C₂³×C₁₃	1	4	yes	—
1253	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
1254	C₂×C₄⋊C₄	C₂³×C₁₃	1	8	yes	—
1255	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
1256	C₂×C₂²⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1257	C₂×C₂²⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1258	C₂×C₂²⋊C₄	C₂³×C₁₃	1	2	yes	—
1259	C₂×C₂²⋊C₄	C₂³×C₁₃	1	2	yes	—
1260	C₂×C₂²⋊C₄	C₂³×C₁₃	1	8	yes	—
1261	C₂×C₂²⋊C₄	C₂³×C₁₃	1	8	yes	—
1262	C₂×C₂²⋊C₄	C₂³×C₁₃	1	2	yes	—
1263	C₂×C₂²⋊C₄	C₂³×C₁₃	1	2	yes	—
1264	C₂×C₂²⋊C₄	C₂³×C₁₃	1	8	yes	—
1265	C₂×C₂²⋊C₄	C₂³×C₁₃	1	2	yes	—
1266	C₂×C₂²⋊C₄	C₂³×C₁₃	1	8	yes	—
1267	C₂×C₂²⋊C₄	C₂³×C₁₃	1	8	yes	—
1268	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
1269	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
1270	C₂×C₄²	C₂³×C₁₃	1	2	yes	—
1271	C₂×C₄²	C₂³×C₁₃	1	4	yes	—
1272	C₂×C₁₃	—	2	2	no	—
1273	C₂×C₁₃	—	4	4	no	—
1274	C₂×C₁₃	—	4	2	no	—
1275	C₂×C₁₃	—	4	4	no	—
1276	C₂×C₁₃	—	4	4	no	—
1277	C₂×C₁₃	—	4	4	no	—
1278	C₂×C₁₃	C₂²×H(5,𝔽₂)	1	1	yes	characteristic
1279	C₂×C₁₃	H(7,𝔽₂)	1	1	yes	characteristic
1280	C₂×C₁₃	2₋¹⁺⁶	1	1	yes	characteristic
1281	C₂⁴	C₂⁴×C₁₃	1	1	yes	characteristic
1282	C₂⁴	C₂⁴×C₁₃	1	2	yes	—
1283	C₂⁴	C₂⁴×C₁₃	1	8	yes	—
1284	C₂⁴	C₂⁴×C₁₃	1	4	yes	—
1285	#41	—	2	8	no	—
1286	#41	—	2	8	no	—
1287	#41	—	2	8	no	—
1288	#41	—	4	8	no	—
1289	#41	—	4	8	no	—
1290	#41	—	4	16	no	—
1291	#41	—	4	4	no	—
1292	#41	—	4	4	no	—
1293	#41	—	4	8	no	—
1294	#41	—	4	8	no	—
1295	#41	—	4	8	no	—
1296	#41	—	4	8	no	—
1297	#41	—	8	4	no	—
1298	#41	—	8	8	no	—
1299	C₂×Q₈	—	2	4	no	—
1300	C₂×Q₈	—	4	4	no	—
1301	C₂×Q₈	—	4	8	no	—
1302	C₂×Q₈	—	4	8	no	—
1303	C₂×Q₈	—	8	2	no	—
1304	C₂×Q₈	C₂⁴×C₁₃	1	2	yes	—
1305	C₂×Q₈	C₂⁴×C₁₃	1	2	yes	—
1306	C₂×Q₈	C₂⁴×C₁₃	1	2	yes	—
1307	C₂×Q₈	C₂⁴×C₁₃	1	2	yes	—
1308	C₂×Q₈	C₂⁴×C₁₃	1	2	yes	—
1309	C₂×Q₈	C₂⁴×C₁₃	1	2	yes	—
1310	C₂×Q₈	C₂⁴×C₁₃	1	2	yes	—
1311	C₂×Q₈	C₂⁴×C₁₃	1	8	yes	—
1312	C₂×Q₈	C₂⁴×C₁₃	1	4	yes	—
1313	C₂×Q₈	C₂⁴×C₁₃	1	8	yes	—
1314	C₂×D₄	—	2	4	no	—
1315	C₂×D₄	—	4	4	no	—
1316	C₂×D₄	—	4	8	no	—
1317	C₂×D₄	—	4	8	no	—
1318	C₂×D₄	—	4	8	no	—
1319	C₂×D₄	—	4	16	no	—
1320	C₂×D₄	—	8	4	no	—
1321	C₂×D₄	—	8	2	no	—
1322	C₂×D₄	—	8	8	no	—
1323	C₂×D₄	C₂⁴×C₁₃	1	4	yes	—
1324	C₂×D₄	C₂⁴×C₁₃	1	4	yes	—
1325	C₂×D₄	C₂⁴×C₁₃	1	4	yes	—
1326	C₂×D₄	C₂⁴×C₁₃	1	2	yes	—
1327	C₂×D₄	C₂⁴×C₁₃	1	2	yes	—
1328	C₂×D₄	C₂⁴×C₁₃	1	2	yes	—
1329	C₂×D₄	C₂⁴×C₁₃	1	2	yes	—
1330	C₂×D₄	C₂⁴×C₁₃	1	2	yes	—
1331	C₂×D₄	C₂⁴×C₁₃	1	2	yes	—
1332	C₂×D₄	C₂⁴×C₁₃	1	4	yes	—
1333	C₂×D₄	C₂⁴×C₁₃	1	4	yes	—
1334	C₂×D₄	C₂⁴×C₁₃	1	8	yes	—
1335	C₂×D₄	C₂⁴×C₁₃	1	2	yes	—
1336	C₂×D₄	C₂⁴×C₁₃	1	2	yes	—
1337	C₂×D₄	C₂⁴×C₁₃	1	4	yes	—
1338	C₂×D₄	C₂⁴×C₁₃	1	8	yes	—
1339	C₂×D₄	C₂⁴×C₁₃	1	2	yes	—
1340	C₂×D₄	C₂⁴×C₁₃	1	8	yes	—
1341	C₂×D₄	C₂⁴×C₁₃	1	2	yes	—
1342	C₂×D₄	C₂⁴×C₁₃	1	8	yes	—
1343	C₂×D₄	C₂⁴×C₁₃	1	4	yes	—
1344	C₂×D₄	C₂⁴×C₁₃	1	8	yes	—
1345	C₂×D₄	C₂⁴×C₁₃	1	2	yes	—
1346	C₂×D₄	C₂⁴×C₁₃	1	4	yes	—
1347	C₂×D₄	C₂⁴×C₁₃	1	8	yes	—
1348	C₂×D₄	C₂⁴×C₁₃	1	4	yes	—
1349	C₂×D₄	C₂⁴×C₁₃	1	8	yes	—
1350	C₂×D₄	C₂⁴×C₁₃	1	4	yes	—
1351	C₂×D₄	C₂⁴×C₁₃	1	8	yes	—
1352	C₂²×C₄	—	2	4	no	—
1353	C₂²×C₄	—	4	8	no	—
1354	C₂²×C₄	—	8	2	no	—
1355	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
1356	C₂²×C₄	C₂⁴×C₁₃	1	4	yes	—
1357	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1358	C₂²×C₄	C₂⁴×C₁₃	1	4	yes	—
1359	C₂²×C₄	C₂⁴×C₁₃	1	4	yes	—
1360	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
1361	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
1362	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1363	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1364	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1365	C₂²×C₄	C₂⁴×C₁₃	1	4	yes	—
1366	C₂²×C₄	C₂⁴×C₁₃	1	4	yes	—
1367	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
1368	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1369	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
1370	C₂²×C₄	C₂⁴×C₁₃	1	4	yes	—
1371	C₂²×C₄	C₂⁴×C₁₃	1	8	yes	—
1372	C₂²×C₄	C₂⁴×C₁₃	1	4	yes	—
1373	C₂²×C₄	C₂⁴×C₁₃	1	8	yes	—
1374	C₂²×C₄	C₂⁴×C₁₃	1	8	yes	—
1375	C₂²×C₄	C₂⁴×C₁₃	1	8	yes	—
1376	C₂²×C₄	C₂⁴×C₁₃	1	8	yes	—
1377	C₂²×C₄	C₂⁴×C₁₃	1	4	yes	—
1378	C₂²×C₄	C₂⁴×C₁₃	1	4	yes	—
1379	C₂²×C₄	C₂⁴×C₁₃	1	4	yes	—
1380	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1381	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
1382	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
1383	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
1384	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
1385	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
1386	C₄⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1387	C₄⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1388	C₄⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1389	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
1390	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
1391	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
1392	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
1393	C₄⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1394	C₄⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1395	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
1396	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
1397	C₄⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1398	C₄⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1399	C₄⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1400	C₄⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1401	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
1402	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
1403	C₄⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1404	C₄⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1405	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
1406	C₄⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1407	C₄⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1408	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
1409	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
1410	C₄⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1411	C₄⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1412	C₄⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1413	C₄⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1414	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
1415	C₄⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1416	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
1417	C₂²⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1418	C₂²⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1419	C₂²⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1420	C₂²⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1421	C₂²⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1422	C₂²⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1423	C₂²⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1424	C₂²⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1425	C₂²⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1426	C₂²⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1427	C₂²⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1428	C₂²⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1429	C₂²⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1430	C₂²⋊C₄	C₂⁴×C₁₃	1	2	yes	—
1431	C₂²⋊C₄	C₂⁴×C₁₃	1	2	yes	—
1432	C₂²⋊C₄	C₂⁴×C₁₃	1	2	yes	—
1433	C₂²⋊C₄	C₂⁴×C₁₃	1	2	yes	—
1434	C₂²⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1435	C₂²⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1436	C₂²⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1437	C₂²⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1438	C₂²⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1439	C₂²⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1440	C₂²⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1441	C₂²⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1442	C₂²⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1443	C₂²⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1444	C₂²⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1445	C₂²⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1446	C₂²⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1447	C₂²⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1448	C₂²⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1449	C₂²⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1450	C₂²⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1451	C₂²⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1452	C₂²⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1453	C₂²⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1454	C₄²	C₂⁴×C₁₃	1	2	yes	—
1455	C₄²	C₂⁴×C₁₃	1	1	yes	characteristic
1456	C₄²	C₂⁴×C₁₃	1	2	yes	—
1457	C₄²	C₂⁴×C₁₃	1	1	yes	characteristic
1458	C₄²	C₂⁴×C₁₃	1	1	yes	characteristic
1459	C₄²	C₂⁴×C₁₃	1	4	yes	—
1460	C₄²	C₂⁴×C₁₃	1	1	yes	characteristic
1461	C₄²	C₂⁴×C₁₃	1	4	yes	—
1462	C₄²	C₂⁴×C₁₃	1	4	yes	—
1463	C₄²	C₂⁴×C₁₃	1	4	yes	—
1464	C₄²	C₂⁴×C₁₃	1	4	yes	—
1465	C₄²	C₂⁴×C₁₃	1	8	yes	—
1466	C₄²	C₂⁴×C₁₃	1	8	yes	—
1467	C₁₃	#62878	1	1	yes	characteristic, direct product factor, Sylow
1468	C₂³	—	2	2	no	—
1469	C₂³	—	2	4	no	—
1470	C₂³	—	4	4	no	—
1471	C₂³	—	4	2	no	—
1472	C₂³	—	4	1	no	—
1473	C₂³	—	4	4	no	—
1474	C₂³	—	4	1	no	—
1475	C₂³	—	4	2	no	—
1476	C₂³	—	4	4	no	—
1477	C₂³	—	4	8	no	—
1478	C₂³	—	4	8	no	—
1479	C₂³	—	4	8	no	—
1480	C₂³	C₂⁵×C₁₃	1	2	yes	—
1481	C₂³	C₂⁵×C₁₃	1	4	yes	—
1482	C₂³	C₂⁵×C₁₃	1	4	yes	—
1483	C₂³	C₂⁵×C₁₃	1	4	yes	—
1484	C₂³	C₂⁵×C₁₃	1	4	yes	—
1485	C₂³	C₂⁵×C₁₃	1	1	yes	characteristic
1486	Q₈	—	2	4	no	—
1487	Q₈	—	2	4	no	—
1488	Q₈	—	2	4	no	—
1489	Q₈	—	2	4	no	—
1490	Q₈	—	2	4	no	—
1491	Q₈	—	4	8	no	—
1492	Q₈	—	4	4	no	—
1493	Q₈	—	4	8	no	—
1494	Q₈	—	4	2	no	—
1495	Q₈	—	4	2	no	—
1496	D₄	—	2	8	no	—
1497	D₄	—	2	8	no	—
1498	D₄	—	2	8	no	—
1499	D₄	—	2	4	no	—
1500	D₄	—	2	4	no	—
1501	D₄	—	2	4	no	—
1502	D₄	—	2	4	no	—
1503	D₄	—	2	4	no	—
1504	D₄	—	4	8	no	—
1505	D₄	—	4	8	no	—
1506	D₄	—	4	4	no	—
1507	D₄	—	4	4	no	—
1508	D₄	—	4	4	no	—
1509	D₄	—	4	2	no	—
1510	D₄	—	4	2	no	—
1511	D₄	—	4	4	no	—
1512	D₄	—	4	8	no	—
1513	D₄	—	4	8	no	—
1514	D₄	—	4	8	no	—
1515	D₄	—	4	8	no	—
1516	D₄	—	4	4	no	—
1517	D₄	—	4	2	no	—
1518	D₄	—	4	2	no	—
1519	D₄	—	4	4	no	—
1520	D₄	—	4	8	no	—
1521	D₄	—	4	2	no	—
1522	D₄	—	4	8	no	—
1523	D₄	—	4	2	no	—
1524	D₄	—	4	4	no	—
1525	C₂×C₄	—	2	2	no	—
1526	C₂×C₄	—	2	4	no	—
1527	C₂×C₄	—	2	4	no	—
1528	C₂×C₄	—	2	4	no	—
1529	C₂×C₄	—	2	8	no	—
1530	C₂×C₄	—	2	8	no	—
1531	C₂×C₄	—	2	8	no	—
1532	C₂×C₄	—	4	4	no	—
1533	C₂×C₄	—	4	4	no	—
1534	C₂×C₄	—	4	4	no	—
1535	C₂×C₄	—	4	1	no	—
1536	C₂×C₄	—	4	4	no	—
1537	C₂×C₄	—	4	2	no	—
1538	C₂×C₄	—	4	4	no	—
1539	C₂×C₄	—	4	8	no	—
1540	C₂×C₄	—	4	2	no	—
1541	C₂×C₄	—	4	8	no	—
1542	C₂×C₄	—	4	1	no	—
1543	C₂×C₄	—	4	4	no	—
1544	C₂×C₄	—	4	1	no	—
1545	C₂×C₄	—	4	8	no	—
1546	C₂×C₄	—	4	8	no	—
1547	C₂×C₄	—	4	1	no	—
1548	C₂×C₄	—	4	8	no	—
1549	C₂×C₄	—	4	4	no	—
1550	C₂×C₄	C₁₃×H(5,𝔽₂)	1	4	yes	—
1551	C₂×C₄	C₂⁵×C₁₃	1	1	yes	characteristic
1552	C₂×C₄	C₂⁵×C₁₃	1	4	yes	—
1553	C₂×C₄	C₂⁵×C₁₃	1	1	yes	characteristic
1554	C₂×C₄	C₂⁵×C₁₃	1	2	yes	—
1555	C₂×C₄	C₂⁵×C₁₃	1	2	yes	—
1556	C₂×C₄	C₂⁵×C₁₃	1	4	yes	—
1557	C₂×C₄	C₂⁵×C₁₃	1	1	yes	characteristic
1558	C₂×C₄	C₂⁵×C₁₃	1	4	yes	—
1559	C₂×C₄	C₂⁵×C₁₃	1	4	yes	—
1560	C₂×C₄	C₂⁵×C₁₃	1	4	yes	—
1561	C₂×C₄	C₂⁵×C₁₃	1	4	yes	—
1562	C₂×C₄	C₂⁵×C₁₃	1	4	yes	—
1563	C₂×C₄	C₂⁵×C₁₃	1	1	yes	characteristic
1564	C₂×C₄	C₂⁵×C₁₃	1	4	yes	—
1565	C₂×C₄	C₂⁵×C₁₃	1	2	yes	—
1566	C₂×C₄	C₂⁵×C₁₃	1	1	yes	characteristic
1567	C₂×C₄	C₂⁵×C₁₃	1	1	yes	characteristic
1568	C₂²	—	2	1	no	—
1569	C₂²	—	2	1	no	—
1570	C₂²	—	2	2	no	—
1571	C₂²	—	2	4	no	—
1572	C₂²	—	2	4	no	—
1573	C₂²	—	2	4	no	—
1574	C₂²	—	2	4	no	—
1575	C₂²	—	2	4	no	—
1576	C₂²	—	2	4	no	—
1577	C₂²	—	2	4	no	—
1578	C₂²	—	2	4	no	—
1579	C₂²	—	2	2	no	—
1580	C₂²	—	2	4	no	—
1581	C₂²	—	2	4	no	—
1582	C₂²	—	2	2	no	—
1583	C₂²	—	2	4	no	—
1584	C₂²	—	2	4	no	—
1585	C₂²	—	8	2	no	—
1586	C₂²	—	8	4	no	—
1587	C₂²	—	8	8	no	—
1588	C₂²	—	16	8	no	—
1589	C₂²	C₂×C₁₃×H(5,𝔽₂)	1	2	yes	—
1590	C₂²	C₂⁶×C₁₃	1	1	yes	characteristic
1591	C₄	—	2	2	no	—
1592	C₄	—	2	4	no	—
1593	C₄	—	2	4	no	—
1594	C₄	—	2	4	no	—
1595	C₄	—	2	4	no	—
1596	C₄	—	2	1	no	—
1597	C₄	—	2	4	no	—
1598	C₄	—	2	1	no	—
1599	C₄	—	2	4	no	—
1600	C₄	—	2	4	no	—
1601	C₄	—	2	2	no	—
1602	C₄	—	2	2	no	—
1603	C₄	—	2	1	no	—
1604	C₄	—	2	4	no	—
1605	C₄	—	2	1	no	—
1606	C₄	C₂×C₁₃×H(5,𝔽₂)	1	2	yes	—
1607	C₄	C₂×C₁₃×H(5,𝔽₂)	1	2	yes	—
1608	C₂	—	2	2	no	—
1609	C₂	—	4	2	no	—
1610	C₂	—	4	4	no	—
1611	C₂	—	4	4	no	—
1612	C₂	—	4	4	no	—
1613	C₂	—	4	4	no	—
1614	C₂	C₂²×C₁₃×H(5,𝔽₂)	1	1	yes	characteristic
1615	C₂	C₁₃×H(7,𝔽₂)	1	1	yes	characteristic
1616	C₂	C₁₃×2₋¹⁺⁶	1	1	yes	characteristic

	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×#3561	C₂	semidirect
2. C₁₃×#3560	C₂	semidirect
3. C₁₃×#3558	C₂	semidirect
4. C₁₃×#3558	C₂	semidirect
5. C₁₃×#3554	C₂	semidirect
6. C₁₃×#3546	C₂	semidirect
7. C₁₃×#3542	C₂	semidirect
8. C₁₃×#3541	C₂	semidirect
9. C₁₃×#3540	C₂	semidirect
10. C₁₃×#3536	C₂	semidirect
11. C₁₃×#3536	C₂	semidirect
12. C₁₃×#3534	C₂	semidirect
13. C₁₃×#3511	C₂	semidirect
14. C₁₃×#3507	C₂	semidirect
15. C₁₃×#3506	C₂	semidirect
16. C₁₃×#3500	C₂	semidirect
17. C₁₃×#3497	C₂	semidirect
18. C₁₃×#3496	C₂	semidirect
19. C₁₃×#3489	C₂	semidirect
20. C₁₃×#3488	C₂	semidirect
21. C₁₃×#3455	C₂	semidirect
22. C₂×C₁₃×#542	C₂	semidirect
23. C₁₃×#3449	C₂	semidirect
24. C₂×C₁₃×2₋¹⁺⁴	C₂²	semidirect
25. C₂×C₁₃×H(5,𝔽₂)	C₂²	semidirect
26. C₂²×C₁₃×#41	C₂²	semidirect
27. C₁₃×#563	C₂²	semidirect
28. C₁₃×#562	C₂²	semidirect
29. C₁₃×#562	C₂²	semidirect
30. C₁₃×#562	C₂²	semidirect
31. C₁₃×#562	C₂²	semidirect
32. C₁₃×H(3,𝔽₄)	C₂²	semidirect
33. C₁₃×#560	C₂²	semidirect
34. C₁₃×#560	C₂²	semidirect
35. C₁₃×#559	C₂²	semidirect
36. C₁₃×#559	C₂²	semidirect
37. C₁₃×#559	C₂²	semidirect
38. C₁₃×#557	C₂²	semidirect
39. C₁₃×#556	C₂²	semidirect
40. C₁₃×#556	C₂²	semidirect
41. C₁₃×#556	C₂²	semidirect
42. C₁₃×#556	C₂²	semidirect
43. C₁₃×#555	C₂²	semidirect
44. C₁₃×#555	C₂²	semidirect
45. C₁₃×#554	C₂²	semidirect
46. C₁₃×#554	C₂²	semidirect
47. C₁₃×#554	C₂²	semidirect
48. C₁₃×#553	C₂²	semidirect
49. C₁₃×#553	C₂²	semidirect
50. C₁₃×#553	C₂²	semidirect
51. C₁₃×#552	C₂²	semidirect
52. C₁₃×#551	C₂²	semidirect
53. C₁₃×#551	C₂²	semidirect
54. C₁₃×#550	C₂²	semidirect
55. C₁₃×#550	C₂²	semidirect
56. C₁₃×#550	C₂²	semidirect
57. C₁₃×#550	C₂²	semidirect
58. D₄×Q₈×C₁₃	C₂²	semidirect
59. D₄×Q₈×C₁₃	C₂²	semidirect
60. D₄×Q₈×C₁₃	C₂²	semidirect
61. C₁₃×#548	C₂²	semidirect
62. C₁₃×#548	C₂²	semidirect
63. C₁₃×#548	C₂²	semidirect
64. C₁₃×#548	C₂²	semidirect
65. C₁₃×#548	C₂²	semidirect
66. C₁₃×#548	C₂²	semidirect
67. C₁₃×#548	C₂²	semidirect
68. C₁₃×#547	C₂²	semidirect
69. C₁₃×#547	C₂²	semidirect
70. C₁₃×#547	C₂²	semidirect
71. C₁₃×#547	C₂²	semidirect
72. C₁₃×#547	C₂²	semidirect
73. C₁₃×#547	C₂²	semidirect
74. C₁₃×#546	C₂²	semidirect
75. C₁₃×#546	C₂²	semidirect
76. C₁₃×#546	C₂²	semidirect
77. C₁₃×#546	C₂²	semidirect
78. C₁₃×#546	C₂²	semidirect
79. C₁₃×#546	C₂²	semidirect
80. C₁₃×#546	C₂²	semidirect
81. C₁₃×#546	C₂²	semidirect
82. C₁₃×#546	C₂²	semidirect
83. C₁₃×#546	C₂²	semidirect
84. C₁₃×#546	C₂²	semidirect
85. C₁₃×#546	C₂²	semidirect
86. C₁₃×#546	C₂²	semidirect
87. D₄²×C₁₃	C₂²	semidirect
88. D₄²×C₁₃	C₂²	semidirect
89. D₄²×C₁₃	C₂²	semidirect
90. D₄²×C₁₃	C₂²	semidirect
91. C₁₃×#543	C₂²	semidirect
92. C₁₃×#542	C₂²	semidirect
93. C₁₃×#542	C₂²	semidirect
94. C₁₃×#542	C₂²	semidirect
95. C₁₃×#542	C₂²	semidirect
96. C₁₃×#542	C₂²	semidirect
97. C₁₃×#542	C₂²	semidirect
98. C₁₃×#542	C₂²	semidirect
99. C₁₃×#542	C₂²	semidirect
100. C₁₃×#542	C₂²	semidirect
101. C₁₃×#542	C₂²	semidirect
102. C₁₃×#542	C₂²	semidirect
103. C₁₃×#541	C₂²	semidirect
104. C₁₃×#540	C₂²	semidirect
105. C₁₃×#540	C₂²	semidirect
106. C₁₃×#539	C₂²	semidirect
107. C₁₃×#539	C₂²	semidirect
108. C₁₃×#539	C₂²	semidirect
109. C₁₃×#539	C₂²	semidirect
110. C₁₃×#539	C₂²	semidirect
111. C₁₃×#538	C₂²	semidirect
112. C₁₃×#538	C₂²	semidirect
113. C₁₃×#538	C₂²	semidirect
114. C₁₃×#538	C₂²	semidirect
115. C₁₃×#538	C₂²	semidirect
116. C₁₃×#538	C₂²	semidirect
117. C₁₃×#538	C₂²	semidirect
118. C₁₃×#538	C₂²	semidirect
119. C₁₃×#538	C₂²	semidirect
120. C₁₃×#537	C₂²	semidirect
121. C₁₃×#537	C₂²	semidirect
122. C₁₃×#537	C₂²	semidirect
123. C₁₃×#537	C₂²	semidirect
124. C₁₃×#537	C₂²	semidirect
125. C₁₃×#537	C₂²	semidirect
126. C₁₃×#537	C₂²	semidirect
127. C₁₃×#537	C₂²	semidirect
128. C₁₃×#536	C₂²	semidirect
129. C₁₃×#536	C₂²	semidirect
130. C₁₃×#536	C₂²	semidirect
131. C₁₃×#536	C₂²	semidirect
132. C₁₃×#536	C₂²	semidirect
133. C₁₃×#535	C₂²	semidirect
134. C₁₃×#535	C₂²	semidirect
135. C₁₃×#535	C₂²	semidirect
136. C₁₃×#535	C₂²	semidirect
137. C₁₃×#535	C₂²	semidirect
138. C₁₃×#535	C₂²	semidirect
139. C₁₃×#534	C₂²	semidirect
140. C₁₃×#534	C₂²	semidirect
141. C₁₃×#534	C₂²	semidirect
142. C₁₃×#534	C₂²	semidirect
143. C₁₃×#533	C₂²	semidirect
144. C₁₃×#533	C₂²	semidirect
146. C₁₃×#532	C₂²	semidirect
147. C₁₃×#532	C₂²	semidirect
148. C₁₃×#532	C₂²	semidirect
149. C₁₃×#532	C₂²	semidirect
150. C₁₃×#532	C₂²	semidirect
151. C₁₃×#532	C₂²	semidirect
152. C₂×C₁₃×C₄⋊Q₈	C₂²	semidirect
153. C₁₃×#529	C₂²	semidirect
154. C₁₃×#529	C₂²	semidirect
155. C₁₃×#529	C₂²	semidirect
156. C₂×C₁₃×#126	C₂²	semidirect
157. C₂×C₁₃×#124	C₂²	semidirect
158. C₂×C₁₃×#124	C₂²	semidirect
159. C₂×C₁₃×#124	C₂²	semidirect
160. C₁₃×#525	C₂²	semidirect
161. C₁₃×#525	C₂²	semidirect
162. C₁₃×#525	C₂²	semidirect
163. C₁₃×#525	C₂²	semidirect
164. C₁₃×#525	C₂²	semidirect
165. C₁₃×#525	C₂²	semidirect
166. C₂×C₁₃×#123	C₂²	semidirect
167. C₂×C₁₃×C₂²⋊Q₈	C₂²	semidirect
168. C₂×C₁₃×C₂²⋊Q₈	C₂²	semidirect
169. C₂×C₁₃×C₂²⋊Q₈	C₂²	semidirect
171. C₂×C₁₃×#121	C₂²	semidirect
172. C₂×C₁₃×#121	C₂²	semidirect
173. C₁₃×#520	C₂²	semidirect
174. C₁₃×#520	C₂²	semidirect
175. C₄×C₁₃×#41	C₂²	semidirect
176. C₂×C₄×Q₈×C₁₃	C₂²	semidirect
177. C₂×C₄×D₄×C₁₃	C₂²	semidirect
178. C₂×C₁₃×#117	C₂²	semidirect
473. #62878	C₁₃	direct (N × H)
660. #3561	C₂×C₁₃	semidirect
661. #3560	C₂×C₁₃	semidirect
662. #3558	C₂×C₁₃	semidirect
663. #3558	C₂×C₁₃	semidirect
664. #3554	C₂×C₁₃	semidirect
665. #3546	C₂×C₁₃	semidirect
666. #3542	C₂×C₁₃	semidirect
667. #3541	C₂×C₁₃	semidirect
668. #3540	C₂×C₁₃	semidirect
669. #3536	C₂×C₁₃	semidirect
670. #3536	C₂×C₁₃	semidirect
671. #3534	C₂×C₁₃	semidirect
672. #3511	C₂×C₁₃	semidirect
673. #3507	C₂×C₁₃	semidirect
674. #3506	C₂×C₁₃	semidirect
675. #3500	C₂×C₁₃	semidirect
676. #3497	C₂×C₁₃	semidirect
677. #3496	C₂×C₁₃	semidirect
678. #3489	C₂×C₁₃	semidirect
679. #3488	C₂×C₁₃	semidirect
680. #3455	C₂×C₁₃	semidirect
681. C₂×#542	C₂×C₁₃	semidirect
682. #3449	C₂×C₁₃	semidirect
783. C₂×2₋¹⁺⁴	C₂²×C₁₃	semidirect
784. C₂×H(5,𝔽₂)	C₂²×C₁₃	semidirect
785. C₂²×#41	C₂²×C₁₃	semidirect
786. #563	C₂²×C₁₃	semidirect
787. #562	C₂²×C₁₃	semidirect
788. #562	C₂²×C₁₃	semidirect
789. #562	C₂²×C₁₃	semidirect
790. #562	C₂²×C₁₃	semidirect
791. H(3,𝔽₄)	C₂²×C₁₃	semidirect
792. #560	C₂²×C₁₃	semidirect
793. #560	C₂²×C₁₃	semidirect
794. #559	C₂²×C₁₃	semidirect
795. #559	C₂²×C₁₃	semidirect
796. #559	C₂²×C₁₃	semidirect
797. #557	C₂²×C₁₃	semidirect
798. #556	C₂²×C₁₃	semidirect
799. #556	C₂²×C₁₃	semidirect
800. #556	C₂²×C₁₃	semidirect
801. #556	C₂²×C₁₃	semidirect
802. #555	C₂²×C₁₃	semidirect
803. #555	C₂²×C₁₃	semidirect
804. #554	C₂²×C₁₃	semidirect
805. #554	C₂²×C₁₃	semidirect
806. #554	C₂²×C₁₃	semidirect
807. #553	C₂²×C₁₃	semidirect
808. #553	C₂²×C₁₃	semidirect
809. #553	C₂²×C₁₃	semidirect
810. #552	C₂²×C₁₃	semidirect
811. #551	C₂²×C₁₃	semidirect
812. #551	C₂²×C₁₃	semidirect
813. #550	C₂²×C₁₃	semidirect
814. #550	C₂²×C₁₃	semidirect
815. #550	C₂²×C₁₃	semidirect
816. #550	C₂²×C₁₃	semidirect
817. D₄×Q₈	C₂²×C₁₃	semidirect
818. D₄×Q₈	C₂²×C₁₃	semidirect
819. D₄×Q₈	C₂²×C₁₃	semidirect
820. #548	C₂²×C₁₃	semidirect
821. #548	C₂²×C₁₃	semidirect
822. #548	C₂²×C₁₃	semidirect
823. #548	C₂²×C₁₃	semidirect
824. #548	C₂²×C₁₃	semidirect
825. #548	C₂²×C₁₃	semidirect
826. #548	C₂²×C₁₃	semidirect
827. #547	C₂²×C₁₃	semidirect
828. #547	C₂²×C₁₃	semidirect
829. #547	C₂²×C₁₃	semidirect
830. #547	C₂²×C₁₃	semidirect
831. #547	C₂²×C₁₃	semidirect
832. #547	C₂²×C₁₃	semidirect
833. #546	C₂²×C₁₃	semidirect
834. #546	C₂²×C₁₃	semidirect
835. #546	C₂²×C₁₃	semidirect
836. #546	C₂²×C₁₃	semidirect
837. #546	C₂²×C₁₃	semidirect
838. #546	C₂²×C₁₃	semidirect
839. #546	C₂²×C₁₃	semidirect
840. #546	C₂²×C₁₃	semidirect
841. #546	C₂²×C₁₃	semidirect
842. #546	C₂²×C₁₃	semidirect
843. #546	C₂²×C₁₃	semidirect
844. #546	C₂²×C₁₃	semidirect
845. #546	C₂²×C₁₃	semidirect
846. D₄²	C₂²×C₁₃	semidirect
847. D₄²	C₂²×C₁₃	semidirect
848. D₄²	C₂²×C₁₃	semidirect
849. D₄²	C₂²×C₁₃	semidirect
850. #543	C₂²×C₁₃	semidirect
851. #542	C₂²×C₁₃	semidirect
852. #542	C₂²×C₁₃	semidirect
853. #542	C₂²×C₁₃	semidirect
854. #542	C₂²×C₁₃	semidirect
855. #542	C₂²×C₁₃	semidirect
856. #542	C₂²×C₁₃	semidirect
857. #542	C₂²×C₁₃	semidirect
858. #542	C₂²×C₁₃	semidirect
859. #542	C₂²×C₁₃	semidirect
860. #542	C₂²×C₁₃	semidirect
861. #542	C₂²×C₁₃	semidirect
862. #541	C₂²×C₁₃	semidirect
863. #540	C₂²×C₁₃	semidirect
864. #540	C₂²×C₁₃	semidirect
865. #539	C₂²×C₁₃	semidirect
866. #539	C₂²×C₁₃	semidirect
867. #539	C₂²×C₁₃	semidirect
868. #539	C₂²×C₁₃	semidirect
869. #539	C₂²×C₁₃	semidirect
870. #538	C₂²×C₁₃	semidirect
871. #538	C₂²×C₁₃	semidirect
872. #538	C₂²×C₁₃	semidirect
873. #538	C₂²×C₁₃	semidirect
874. #538	C₂²×C₁₃	semidirect
875. #538	C₂²×C₁₃	semidirect
876. #538	C₂²×C₁₃	semidirect
877. #538	C₂²×C₁₃	semidirect
878. #538	C₂²×C₁₃	semidirect
879. #537	C₂²×C₁₃	semidirect
880. #537	C₂²×C₁₃	semidirect
881. #537	C₂²×C₁₃	semidirect
882. #537	C₂²×C₁₃	semidirect
883. #537	C₂²×C₁₃	semidirect
884. #537	C₂²×C₁₃	semidirect
885. #537	C₂²×C₁₃	semidirect
886. #537	C₂²×C₁₃	semidirect
887. #536	C₂²×C₁₃	semidirect
888. #536	C₂²×C₁₃	semidirect
889. #536	C₂²×C₁₃	semidirect
890. #536	C₂²×C₁₃	semidirect
891. #536	C₂²×C₁₃	semidirect
892. #535	C₂²×C₁₃	semidirect
893. #535	C₂²×C₁₃	semidirect
894. #535	C₂²×C₁₃	semidirect
895. #535	C₂²×C₁₃	semidirect
896. #535	C₂²×C₁₃	semidirect
897. #535	C₂²×C₁₃	semidirect
898. #534	C₂²×C₁₃	semidirect
899. #534	C₂²×C₁₃	semidirect
900. #534	C₂²×C₁₃	semidirect
901. #534	C₂²×C₁₃	semidirect
902. #533	C₂²×C₁₃	semidirect
903. #533	C₂²×C₁₃	semidirect
905. #532	C₂²×C₁₃	semidirect
906. #532	C₂²×C₁₃	semidirect
907. #532	C₂²×C₁₃	semidirect
908. #532	C₂²×C₁₃	semidirect
909. #532	C₂²×C₁₃	semidirect
910. #532	C₂²×C₁₃	semidirect
911. C₂×C₄⋊Q₈	C₂²×C₁₃	semidirect
912. #529	C₂²×C₁₃	semidirect
913. #529	C₂²×C₁₃	semidirect
914. #529	C₂²×C₁₃	semidirect
915. C₂×#126	C₂²×C₁₃	semidirect
916. C₂×#124	C₂²×C₁₃	semidirect
917. C₂×#124	C₂²×C₁₃	semidirect
918. C₂×#124	C₂²×C₁₃	semidirect
919. #525	C₂²×C₁₃	semidirect
920. #525	C₂²×C₁₃	semidirect
921. #525	C₂²×C₁₃	semidirect
922. #525	C₂²×C₁₃	semidirect
923. #525	C₂²×C₁₃	semidirect
924. #525	C₂²×C₁₃	semidirect
925. C₂×#123	C₂²×C₁₃	semidirect
926. C₂×C₂²⋊Q₈	C₂²×C₁₃	semidirect
927. C₂×C₂²⋊Q₈	C₂²×C₁₃	semidirect
928. C₂×C₂²⋊Q₈	C₂²×C₁₃	semidirect
930. C₂×#121	C₂²×C₁₃	semidirect
931. C₂×#121	C₂²×C₁₃	semidirect
932. #520	C₂²×C₁₃	semidirect
933. #520	C₂²×C₁₃	semidirect
934. C₄×#41	C₂²×C₁₃	semidirect
935. C₂×C₄×Q₈	C₂²×C₁₃	semidirect
936. C₂×C₄×D₄	C₂²×C₁₃	semidirect
937. C₂×#117	C₂²×C₁₃	semidirect
1467. C₁₃	#62878	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×#3561	2
C₁₃×#3560	2
C₁₃×#3558	2
C₁₃×#3554	2
C₁₃×#3546	2
C₁₃×#3542	2
C₁₃×#3541	2
C₁₃×#3540	2
C₁₃×#3536	2
C₁₃×#3534	2
C₁₃×#3511	2
C₁₃×#3507	2
C₁₃×#3506	2
C₁₃×#3500	2
C₁₃×#3497	2
C₁₃×#3496	2
C₁₃×#3489	2
C₁₃×#3488	2
C₁₃×#3455	2
C₂×C₁₃×#542	2
C₁₃×#3449	2
#62878	13

Subgroups — C13×#62878 #15749217

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₃×#62878 #15749217