Subgroups — C₁₃×#63044 #15749383

Order 3328.

6904 conjugacy classes of subgroups.

The subgroup lattice has 1210 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₁₃×#3562	C₂	1	6	yes	maximal, complemented
2	C₁₃×#3554	C₂	1	6	yes	maximal, complemented
3	C₁₃×#3552	C₂	1	6	yes	maximal, complemented
4	C₁₃×#3551	C₂	1	3	yes	maximal, complemented
5	C₁₃×#3547	C₂	1	6	yes	maximal, complemented
6	C₁₃×#3541	C₂	1	6	yes	maximal, complemented
7	C₁₃×#3540	C₂	1	3	yes	maximal, complemented
8	C₁₃×#3539	C₂	1	6	yes	maximal, complemented
9	C₁₃×#3538	C₂	1	3	yes	maximal, complemented
10	C₁₃×#3529	C₂	1	3	yes	maximal, complemented
11	C₁₃×#3524	C₂	1	2	yes	maximal, complemented
12	C₁₃×#3523	C₂	1	2	yes	maximal, complemented
13	C₁₃×#3516	C₂	1	2	yes	maximal, complemented
14	C₁₃×#3499	C₂	1	1	yes	maximal, characteristic, complemented
15	C₁₃×#3497	C₂	1	2	yes	maximal, complemented
16	C₁₃×#3489	C₂	1	2	yes	maximal, complemented
17	C₁₃×#3487	C₂	1	1	yes	maximal, characteristic, complemented
18	C₁₃×#3486	C₂	1	1	yes	maximal, characteristic, complemented
19	C₁₃×#3486	C₂	1	2	yes	maximal, complemented
20	C₂×C₁₃×2₋¹⁺⁴	C₂²	1	1	yes	characteristic
21	C₂×C₁₃×2₋¹⁺⁴	C₂²	1	2	yes	—
22	C₂×C₁₃×2₋¹⁺⁴	C₂²	1	1	yes	characteristic, complemented
23	C₂²×C₁₃×#41	C₂²	1	1	yes	characteristic, complemented
24	C₂³×Q₈×C₁₃	C₂²	1	1	yes	characteristic, complemented
25	C₁₃×#563	C₂²	1	3	yes	—
26	C₁₃×#563	C₂²	1	6	yes	complemented
27	C₁₃×#563	C₂²	1	6	yes	complemented
28	C₁₃×#563	C₂²	1	6	yes	complemented
29	C₁₃×#562	C₂²	1	6	yes	—
30	C₁₃×#562	C₂²	1	6	yes	complemented
31	C₁₃×#562	C₂²	1	6	yes	complemented
32	C₁₃×#562	C₂²	1	12	yes	complemented
33	C₁₃×H(3,𝔽₄)	C₂²	1	3	yes	—
34	C₁₃×#560	C₂²	1	1	yes	characteristic
35	C₁₃×#560	C₂²	1	3	yes	—
36	C₁₃×#560	C₂²	1	6	yes	—
37	C₁₃×#560	C₂²	1	6	yes	complemented
38	C₁₃×#560	C₂²	1	6	yes	complemented
39	C₁₃×#559	C₂²	1	6	yes	complemented
40	C₁₃×#559	C₂²	1	6	yes	complemented
41	C₁₃×#557	C₂²	1	2	yes	complemented
42	C₁₃×#557	C₂²	1	6	yes	complemented
43	C₁₃×#556	C₂²	1	6	yes	—
44	C₁₃×#556	C₂²	1	6	yes	complemented
45	C₁₃×#555	C₂²	1	6	yes	complemented
46	C₁₃×#555	C₂²	1	6	yes	complemented
47	C₁₃×#554	C₂²	1	6	yes	complemented
48	C₁₃×#554	C₂²	1	12	yes	complemented
49	C₁₃×#553	C₂²	1	6	yes	complemented
50	C₁₃×#553	C₂²	1	12	yes	complemented
51	C₁₃×#553	C₂²	1	6	yes	complemented
52	C₁₃×#553	C₂²	1	12	yes	complemented
53	C₁₃×#552	C₂²	1	6	yes	complemented
54	C₁₃×#552	C₂²	1	6	yes	complemented
55	C₁₃×#552	C₂²	1	6	yes	complemented
56	C₁₃×#552	C₂²	1	6	yes	complemented
57	C₁₃×#551	C₂²	1	6	yes	—
58	C₁₃×#551	C₂²	1	6	yes	complemented
59	C₁₃×#550	C₂²	1	6	yes	—
60	C₁₃×#550	C₂²	1	2	yes	complemented
61	C₁₃×#550	C₂²	1	6	yes	complemented
62	D₄×Q₈×C₁₃	C₂²	1	2	yes	—
63	D₄×Q₈×C₁₃	C₂²	1	2	yes	complemented
64	D₄×Q₈×C₁₃	C₂²	1	2	yes	complemented
65	D₄×Q₈×C₁₃	C₂²	1	6	yes	complemented
66	D₄×Q₈×C₁₃	C₂²	1	6	yes	complemented
67	D₄×Q₈×C₁₃	C₂²	1	6	yes	complemented
68	D₄×Q₈×C₁₃	C₂²	1	6	yes	complemented
69	D₄×Q₈×C₁₃	C₂²	1	2	yes	complemented
70	C₁₃×#548	C₂²	1	2	yes	—
71	C₁₃×#548	C₂²	1	6	yes	—
72	C₁₃×#548	C₂²	1	2	yes	—
73	C₁₃×#548	C₂²	1	2	yes	complemented
74	C₁₃×#548	C₂²	1	6	yes	complemented
75	C₁₃×#548	C₂²	1	6	yes	complemented
76	C₁₃×#548	C₂²	1	6	yes	complemented
77	C₁₃×#548	C₂²	1	6	yes	complemented
78	C₁₃×#548	C₂²	1	6	yes	complemented
79	C₁₃×#548	C₂²	1	2	yes	complemented
80	C₁₃×#547	C₂²	1	6	yes	—
81	C₁₃×#547	C₂²	1	6	yes	complemented
82	C₁₃×#547	C₂²	1	6	yes	complemented
83	C₁₃×#547	C₂²	1	6	yes	complemented
84	C₁₃×#546	C₂²	1	6	yes	—
85	C₁₃×#546	C₂²	1	6	yes	complemented
86	C₁₃×#544	C₂²	1	12	yes	complemented
87	C₁₃×#542	C₂²	1	6	yes	complemented
88	C₁₃×#542	C₂²	1	12	yes	complemented
89	C₁₃×#542	C₂²	1	6	yes	complemented
90	C₁₃×#542	C₂²	1	12	yes	complemented
91	C₁₃×#541	C₂²	1	6	yes	complemented
92	C₁₃×#541	C₂²	1	6	yes	complemented
93	C₁₃×#541	C₂²	1	6	yes	complemented
94	C₁₃×#540	C₂²	1	6	yes	complemented
95	C₁₃×#540	C₂²	1	12	yes	complemented
96	C₁₃×#540	C₂²	1	12	yes	complemented
97	C₁₃×#539	C₂²	1	12	yes	complemented
98	C₁₃×#539	C₂²	1	12	yes	complemented
99	C₁₃×#539	C₂²	1	12	yes	complemented
100	C₁₃×#538	C₂²	1	12	yes	—
101	C₁₃×#538	C₂²	1	12	yes	complemented
102	C₁₃×#537	C₂²	1	6	yes	—
103	C₁₃×#537	C₂²	1	6	yes	complemented
104	C₁₃×#537	C₂²	1	6	yes	complemented
105	C₁₃×#536	C₂²	1	3	yes	—
106	C₁₃×#536	C₂²	1	3	yes	—
107	C₁₃×#536	C₂²	1	6	yes	complemented
108	C₁₃×#536	C₂²	1	3	yes	complemented
109	C₁₃×#536	C₂²	1	6	yes	complemented
110	C₁₃×#536	C₂²	1	6	yes	complemented
111	C₁₃×#536	C₂²	1	3	yes	complemented
112	C₁₃×#535	C₂²	1	3	yes	—
113	C₁₃×#535	C₂²	1	3	yes	complemented
114	C₁₃×#533	C₂²	1	6	yes	complemented
115	C₁₃×#532	C₂²	1	3	yes	—
116	C₁₃×#532	C₂²	1	6	yes	complemented
117	C₁₃×#532	C₂²	1	6	yes	complemented
118	C₂×C₁₃×C₄⋊Q₈	C₂²	1	3	yes	complemented
119	C₁₃×#529	C₂²	1	6	yes	—
120	C₁₃×#529	C₂²	1	6	yes	complemented
121	C₁₃×#529	C₂²	1	6	yes	complemented
122	C₁₃×#529	C₂²	1	6	yes	complemented
123	C₁₃×#529	C₂²	1	6	yes	complemented
124	C₁₃×#525	C₂²	1	3	yes	—
125	C₁₃×#525	C₂²	1	3	yes	—
126	C₁₃×#525	C₂²	1	6	yes	—
127	C₁₃×#525	C₂²	1	6	yes	complemented
128	C₁₃×#525	C₂²	1	3	yes	complemented
129	C₁₃×#525	C₂²	1	6	yes	complemented
130	C₁₃×#525	C₂²	1	3	yes	complemented
131	C₂×C₁₃×C₂²⋊Q₈	C₂²	1	6	yes	complemented
132	C₁₃×#520	C₂²	1	2	yes	complemented
133	C₁₃×#519	C₂²	1	1	yes	characteristic, complemented
134	C₁₃×#519	C₂²	1	2	yes	complemented
135	C₁₃×#519	C₂²	1	1	yes	characteristic, complemented
136	C₄×C₁₃×#41	C₂²	1	1	yes	characteristic, complemented
137	C₂×C₄×Q₈×C₁₃	C₂²	1	2	yes	complemented
138	C₁₃×2₋¹⁺⁴	—	4	4	no	—
139	C₁₃×2₋¹⁺⁴	—	4	8	no	—
140	C₁₃×2₋¹⁺⁴	—	4	4	no	—
141	C₂×C₁₃×#41	—	4	4	no	—
142	C₂×C₁₃×#41	C₂³	1	1	yes	characteristic
143	C₂×C₁₃×#41	C₂³	1	2	yes	—
144	C₂×C₁₃×#41	C₂³	1	3	yes	—
145	C₂×C₁₃×#41	C₂³	1	6	yes	—
146	C₂×C₁₃×#41	C₂³	1	3	yes	—
147	C₂×C₁₃×#41	C₂³	1	6	yes	—
148	C₂×C₁₃×#41	C₂³	1	3	yes	—
149	C₂×C₁₃×#41	C₂³	1	3	yes	—
150	C₂×C₁₃×#41	C₂³	1	6	yes	—
151	C₂×C₁₃×#41	C₂³	1	6	yes	—
152	C₂×C₁₃×#41	C₂³	1	6	yes	—
153	C₂²×Q₈×C₁₃	—	4	4	no	—
154	C₂²×Q₈×C₁₃	C₂³	1	2	yes	—
155	C₂²×Q₈×C₁₃	C₂³	1	1	yes	characteristic
156	C₂²×Q₈×C₁₃	C₂³	1	2	yes	—
157	C₂²×Q₈×C₁₃	C₂³	1	1	yes	characteristic
158	C₂²×Q₈×C₁₃	C₂³	1	6	yes	—
159	C₂²×Q₈×C₁₃	C₂³	1	3	yes	—
160	C₂²×Q₈×C₁₃	C₂³	1	3	yes	—
161	C₂²×Q₈×C₁₃	C₂³	1	3	yes	—
162	C₂²×Q₈×C₁₃	C₂³	1	6	yes	—
163	C₂²×D₄×C₁₃	C₂³	1	3	yes	—
164	C₂³×C₄×C₁₃	C₂³	1	3	yes	—
165	C₂³×C₄×C₁₃	C₂³	1	3	yes	—
166	C₁₃×C₄⋊Q₈	C₂³	1	3	yes	—
167	C₁₃×C₄⋊Q₈	C₂³	1	6	yes	—
168	C₁₃×C₄⋊Q₈	C₂³	1	6	yes	—
169	C₁₃×C₄⋊Q₈	C₂³	1	6	yes	—
170	C₁₃×C₄⋊Q₈	C₂³	1	6	yes	—
171	C₁₃×C₄⋊Q₈	C₂³	1	6	yes	—
172	C₁₃×C₄⋊Q₈	C₂³	1	6	yes	—
173	C₁₃×C₄⋊Q₈	C₂³	1	6	yes	—
174	C₁₃×C₄⋊Q₈	C₂³	1	6	yes	—
175	C₁₃×C₄⋊Q₈	C₂³	1	12	yes	—
176	C₁₃×#127	C₂³	1	1	yes	characteristic
177	C₁₃×#127	C₂³	1	6	yes	—
178	C₁₃×#127	C₂³	1	6	yes	—
179	C₁₃×#127	C₂³	1	6	yes	—
180	C₁₃×#126	C₂³	1	6	yes	—
181	C₁₃×#126	C₂³	1	6	yes	—
182	C₁₃×#126	C₂³	1	2	yes	—
183	C₁₃×#126	C₂³	1	6	yes	—
184	C₁₃×#126	C₂³	1	12	yes	—
185	C₁₃×#126	C₂³	1	6	yes	—
186	C₁₃×#126	C₂³	1	6	yes	—
187	C₁₃×#126	C₂³	1	12	yes	—
188	C₁₃×#126	C₂³	1	12	yes	—
189	C₁₃×#126	C₂³	1	12	yes	—
190	C₁₃×#126	C₂³	1	12	yes	—
191	C₁₃×#125	C₂³	1	6	yes	—
192	C₁₃×#125	C₂³	1	6	yes	—
193	C₁₃×#125	C₂³	1	6	yes	—
194	C₁₃×#125	C₂³	1	6	yes	—
195	C₁₃×#125	C₂³	1	6	yes	—
196	C₁₃×#125	C₂³	1	12	yes	—
197	C₁₃×#125	C₂³	1	12	yes	—
198	C₁₃×#125	C₂³	1	12	yes	—
199	C₁₃×#125	C₂³	1	12	yes	—
200	C₁₃×#124	C₂³	1	6	yes	—
201	C₁₃×#124	C₂³	1	6	yes	—
202	C₁₃×#124	C₂³	1	6	yes	—
203	C₁₃×#124	C₂³	1	6	yes	—
204	C₁₃×#124	C₂³	1	6	yes	—
205	C₁₃×#124	C₂³	1	3	yes	—
206	C₁₃×#124	C₂³	1	3	yes	—
207	C₁₃×#124	C₂³	1	6	yes	—
208	C₁₃×#124	C₂³	1	6	yes	—
209	C₁₃×#124	C₂³	1	6	yes	—
210	C₁₃×#124	C₂³	1	6	yes	—
211	C₁₃×#124	C₂³	1	6	yes	—
212	C₁₃×#124	C₂³	1	6	yes	—
213	C₁₃×#124	C₂³	1	12	yes	—
214	C₁₃×#124	C₂³	1	12	yes	—
215	C₁₃×#123	C₂³	1	1	yes	characteristic
216	C₁₃×#123	C₂³	1	3	yes	—
217	C₁₃×#123	C₂³	1	3	yes	—
218	C₁₃×#123	C₂³	1	3	yes	—
219	C₁₃×#123	C₂³	1	6	yes	—
220	C₁₃×#123	C₂³	1	6	yes	—
221	C₁₃×#123	C₂³	1	6	yes	—
222	C₁₃×#123	C₂³	1	12	yes	—
223	C₁₃×#123	C₂³	1	6	yes	—
224	C₁₃×#123	C₂³	1	6	yes	—
225	C₁₃×#123	C₂³	1	6	yes	—
226	C₁₃×#123	C₂³	1	6	yes	—
227	C₁₃×#123	C₂³	1	2	yes	—
228	C₁₃×#123	C₂³	1	6	yes	—
229	C₁₃×#123	C₂³	1	12	yes	—
230	C₁₃×#123	C₂³	1	6	yes	—
231	C₁₃×#123	C₂³	1	6	yes	—
232	C₁₃×#123	C₂³	1	6	yes	—
233	C₁₃×#123	C₂³	1	6	yes	—
234	C₁₃×#123	C₂³	1	12	yes	—
235	C₁₃×#123	C₂³	1	12	yes	—
236	C₁₃×#123	C₂³	1	12	yes	—
237	C₁₃×#123	C₂³	1	12	yes	—
238	C₁₃×#123	C₂³	1	12	yes	—
239	C₁₃×C₂²⋊Q₈	C₂³	1	6	yes	—
240	C₁₃×C₂²⋊Q₈	C₂³	1	6	yes	—
241	C₁₃×C₂²⋊Q₈	C₂³	1	6	yes	—
242	C₁₃×C₂²⋊Q₈	C₂³	1	12	yes	—
243	C₁₃×C₂²⋊Q₈	C₂³	1	6	yes	—
244	C₁₃×C₂²⋊Q₈	C₂³	1	6	yes	—
245	C₁₃×C₂²⋊Q₈	C₂³	1	6	yes	—
246	C₁₃×C₂²⋊Q₈	C₂³	1	6	yes	—
247	C₁₃×C₂²⋊Q₈	C₂³	1	6	yes	—
248	C₁₃×C₂²⋊Q₈	C₂³	1	6	yes	—
249	C₁₃×C₂²⋊Q₈	C₂³	1	6	yes	—
250	C₁₃×C₂²⋊Q₈	C₂³	1	6	yes	—
251	C₁₃×C₂²⋊Q₈	C₂³	1	6	yes	—
252	C₁₃×C₂²⋊Q₈	C₂³	1	6	yes	—
253	C₁₃×C₂²⋊Q₈	C₂³	1	6	yes	—
254	C₁₃×C₂²⋊Q₈	C₂³	1	6	yes	—
255	C₁₃×C₂²⋊Q₈	C₂³	1	6	yes	—
256	C₁₃×C₂²⋊Q₈	C₂³	1	6	yes	—
257	C₁₃×C₂²⋊Q₈	C₂³	1	6	yes	—
258	C₁₃×C₂²⋊Q₈	C₂³	1	6	yes	—
259	C₁₃×C₂²⋊Q₈	C₂³	1	6	yes	—
260	C₁₃×C₂²⋊Q₈	C₂³	1	6	yes	—
261	C₁₃×C₂²⋊Q₈	C₂³	1	12	yes	—
262	C₁₃×C₂²⋊Q₈	C₂³	1	12	yes	—
263	C₁₃×C₂²⋊Q₈	C₂³	1	12	yes	—
264	C₁₃×C₂²⋊Q₈	C₂³	1	12	yes	—
265	C₁₃×C₂²⋊Q₈	C₂³	1	12	yes	—
266	C₁₃×C₂²⋊Q₈	C₂³	1	12	yes	—
267	C₁₃×#121	C₂³	1	2	yes	—
268	C₁₃×#121	C₂³	1	6	yes	—
269	C₁₃×#121	C₂³	1	6	yes	—
270	C₁₃×#121	C₂³	1	6	yes	—
271	C₁₃×#121	C₂³	1	6	yes	—
272	C₁₃×#121	C₂³	1	6	yes	—
273	C₁₃×#121	C₂³	1	6	yes	—
274	C₁₃×#121	C₂³	1	6	yes	—
275	C₁₃×#121	C₂³	1	6	yes	—
276	C₁₃×#121	C₂³	1	6	yes	—
277	C₁₃×#121	C₂³	1	2	yes	—
278	C₁₃×#121	C₂³	1	6	yes	—
279	C₁₃×#121	C₂³	1	6	yes	—
280	C₁₃×#121	C₂³	1	6	yes	—
281	C₁₃×#121	C₂³	1	6	yes	—
282	C₁₃×#121	C₂³	1	6	yes	—
283	C₁₃×#121	C₂³	1	6	yes	—
284	C₁₃×#121	C₂³	1	6	yes	—
285	C₁₃×#121	C₂³	1	2	yes	—
286	C₁₃×#121	C₂³	1	12	yes	—
287	C₁₃×#121	C₂³	1	6	yes	—
288	C₁₃×#121	C₂³	1	6	yes	—
289	C₁₃×#121	C₂³	1	12	yes	—
290	C₁₃×#121	C₂³	1	12	yes	—
291	C₁₃×#121	C₂³	1	12	yes	—
292	C₁₃×#121	C₂³	1	12	yes	—
293	C₁₃×#121	C₂³	1	12	yes	—
294	C₁₃×#121	C₂³	1	12	yes	—
295	C₁₃×#120	C₂³	1	1	yes	characteristic
296	C₁₃×#120	C₂³	1	3	yes	—
297	C₁₃×#120	C₂³	1	3	yes	—
298	C₁₃×#120	C₂³	1	3	yes	—
299	C₁₃×#120	C₂³	1	6	yes	—
300	C₁₃×#120	C₂³	1	6	yes	—
301	C₁₃×#120	C₂³	1	2	yes	—
302	C₁₃×#120	C₂³	1	6	yes	—
303	C₁₃×#120	C₂³	1	6	yes	—
304	C₄×Q₈×C₁₃	C₂³	1	2	yes	—
305	C₄×Q₈×C₁₃	C₂³	1	2	yes	—
306	C₄×Q₈×C₁₃	C₂³	1	6	yes	—
307	C₄×Q₈×C₁₃	C₂³	1	6	yes	—
308	C₄×Q₈×C₁₃	C₂³	1	2	yes	—
309	C₄×Q₈×C₁₃	C₂³	1	6	yes	—
310	C₄×Q₈×C₁₃	C₂³	1	6	yes	—
311	C₄×Q₈×C₁₃	C₂³	1	6	yes	—
312	C₄×Q₈×C₁₃	C₂³	1	6	yes	—
313	C₄×Q₈×C₁₃	C₂³	1	6	yes	—
314	C₄×Q₈×C₁₃	C₂³	1	12	yes	—
315	C₄×D₄×C₁₃	C₂³	1	6	yes	—
316	C₄×D₄×C₁₃	C₂³	1	6	yes	—
317	C₄×D₄×C₁₃	C₂³	1	6	yes	—
318	C₄×D₄×C₁₃	C₂³	1	6	yes	—
319	C₄×D₄×C₁₃	C₂³	1	6	yes	—
320	C₄×D₄×C₁₃	C₂³	1	6	yes	—
321	C₄×D₄×C₁₃	C₂³	1	6	yes	—
322	C₄×D₄×C₁₃	C₂³	1	6	yes	—
323	C₄×D₄×C₁₃	C₂³	1	6	yes	—
324	C₄×D₄×C₁₃	C₂³	1	6	yes	—
325	C₄×D₄×C₁₃	C₂³	1	6	yes	—
326	C₄×D₄×C₁₃	C₂³	1	6	yes	—
327	C₄×D₄×C₁₃	C₂³	1	12	yes	—
328	C₄×D₄×C₁₃	C₂³	1	12	yes	—
329	C₄×D₄×C₁₃	C₂³	1	12	yes	—
330	C₄×D₄×C₁₃	C₂³	1	12	yes	—
331	C₄×D₄×C₁₃	C₂³	1	12	yes	—
332	C₄×D₄×C₁₃	C₂³	1	12	yes	—
333	C₄×D₄×C₁₃	C₂³	1	12	yes	—
334	C₄×D₄×C₁₃	C₂³	1	12	yes	—
335	C₁₃×#117	C₂³	1	3	yes	—
336	C₁₃×#117	C₂³	1	3	yes	—
337	C₁₃×#117	C₂³	1	3	yes	—
338	C₁₃×#117	C₂³	1	6	yes	—
339	C₁₃×#117	C₂³	1	3	yes	—
340	C₁₃×#117	C₂³	1	3	yes	—
341	C₁₃×#117	C₂³	1	6	yes	—
342	C₁₃×#117	C₂³	1	6	yes	—
343	C₁₃×#117	C₂³	1	12	yes	—
344	C₁₃×#117	C₂³	1	12	yes	—
345	C₁₃×#117	C₂³	1	12	yes	—
346	C₂×C₁₃×C₄⋊C₄	C₂³	1	6	yes	—
347	C₂×C₁₃×C₄⋊C₄	C₂³	1	6	yes	—
348	C₂×C₁₃×C₄⋊C₄	C₂³	1	12	yes	—
349	C₂×C₁₃×C₄⋊C₄	C₂³	1	12	yes	—
350	C₂×C₁₃×C₂²⋊C₄	C₂³	1	12	yes	—
351	C₂×C₄²×C₁₃	C₂³	1	6	yes	—
352	C₂×C₄²×C₁₃	C₂³	1	3	yes	—
353	#63044	C₁₃	1	1	yes	maximal, characteristic, direct product factor, Sylow
354	C₂⁴×C₁₃	C₂⁴	1	3	yes	—
355	C₂⁴×C₁₃	C₂⁴	1	1	yes	characteristic
356	C₁₃×#41	—	2	8	no	—
357	C₁₃×#41	—	2	4	no	—
358	C₁₃×#41	—	4	6	no	—
359	C₁₃×#41	—	4	12	no	—
360	C₁₃×#41	—	4	6	no	—
361	C₁₃×#41	—	4	12	no	—
362	C₁₃×#41	—	4	6	no	—
363	C₁₃×#41	—	4	12	no	—
364	C₁₃×#41	—	4	6	no	—
365	C₁₃×#41	—	4	12	no	—
366	C₁₃×#41	—	4	12	no	—
367	C₂×Q₈×C₁₃	—	2	4	no	—
368	C₂×Q₈×C₁₃	—	2	8	no	—
369	C₂×Q₈×C₁₃	—	2	4	no	—
370	C₂×Q₈×C₁₃	—	2	8	no	—
371	C₂×Q₈×C₁₃	—	4	6	no	—
372	C₂×Q₈×C₁₃	—	4	12	no	—
373	C₂×Q₈×C₁₃	—	4	12	no	—
374	C₂×Q₈×C₁₃	—	4	6	no	—
375	C₂×Q₈×C₁₃	—	4	6	no	—
376	C₂×Q₈×C₁₃	C₂⁴	1	3	yes	—
377	C₂×Q₈×C₁₃	C₂⁴	1	6	yes	—
378	C₂×Q₈×C₁₃	C₂⁴	1	6	yes	—
379	C₂×Q₈×C₁₃	C₂⁴	1	3	yes	—
380	C₂×Q₈×C₁₃	C₂⁴	1	6	yes	—
381	C₂×Q₈×C₁₃	C₂⁴	1	6	yes	—
382	C₂×Q₈×C₁₃	C₂⁴	1	6	yes	—
383	C₂×Q₈×C₁₃	C₂⁴	1	3	yes	—
384	C₂×Q₈×C₁₃	C₂⁴	1	3	yes	—
385	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
386	C₂×D₄×C₁₃	—	4	6	no	—
387	C₂×D₄×C₁₃	C₂⁴	1	6	yes	—
388	C₂×D₄×C₁₃	C₂⁴	1	3	yes	—
389	C₂×D₄×C₁₃	C₂⁴	1	2	yes	—
390	C₂×D₄×C₁₃	C₂⁴	1	2	yes	—
391	C₂×D₄×C₁₃	C₂⁴	1	6	yes	—
392	C₂×D₄×C₁₃	C₂⁴	1	6	yes	—
393	C₂×D₄×C₁₃	C₂⁴	1	6	yes	—
394	C₂×D₄×C₁₃	C₂⁴	1	6	yes	—
395	C₂×D₄×C₁₃	C₂⁴	1	2	yes	—
396	C₂×D₄×C₁₃	C₂⁴	1	12	yes	—
397	C₂×D₄×C₁₃	C₂⁴	1	6	yes	—
398	C₂×D₄×C₁₃	C₂⁴	1	2	yes	—
399	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
400	C₂×D₄×C₁₃	C₂⁴	1	3	yes	—
401	C₂×D₄×C₁₃	C₂⁴	1	6	yes	—
402	C₂×D₄×C₁₃	C₂⁴	1	2	yes	—
403	C₂×D₄×C₁₃	C₂⁴	1	6	yes	—
404	C₂×D₄×C₁₃	C₂⁴	1	3	yes	—
405	C₂×D₄×C₁₃	C₂⁴	1	6	yes	—
406	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
407	C₂×D₄×C₁₃	C₂⁴	1	6	yes	—
408	C₂²×C₄×C₁₃	—	4	6	no	—
409	C₂²×C₄×C₁₃	—	4	6	no	—
410	C₂²×C₄×C₁₃	C₂⁴	1	6	yes	—
411	C₂²×C₄×C₁₃	C₂⁴	1	3	yes	—
412	C₂²×C₄×C₁₃	C₂⁴	1	6	yes	—
413	C₂²×C₄×C₁₃	C₂⁴	1	3	yes	—
414	C₂²×C₄×C₁₃	C₂⁴	1	6	yes	—
415	C₂²×C₄×C₁₃	C₂⁴	1	3	yes	—
416	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
417	C₂²×C₄×C₁₃	C₂⁴	1	6	yes	—
418	C₂²×C₄×C₁₃	C₂⁴	1	6	yes	—
419	C₂²×C₄×C₁₃	C₂⁴	1	12	yes	—
420	C₂²×C₄×C₁₃	C₂⁴	1	12	yes	—
421	C₂²×C₄×C₁₃	C₂⁴	1	6	yes	—
422	C₂²×C₄×C₁₃	C₂⁴	1	6	yes	—
423	C₂²×C₄×C₁₃	C₂⁴	1	6	yes	—
424	C₂²×C₄×C₁₃	C₂⁴	1	6	yes	—
425	C₂²×C₄×C₁₃	C₂⁴	1	3	yes	—
426	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
427	C₁₃×C₄⋊C₄	C₂⁴	1	6	yes	—
428	C₁₃×C₄⋊C₄	C₂⁴	1	6	yes	—
429	C₁₃×C₄⋊C₄	C₂⁴	1	6	yes	—
430	C₁₃×C₄⋊C₄	C₂⁴	1	6	yes	—
431	C₁₃×C₄⋊C₄	C₂⁴	1	6	yes	—
432	C₁₃×C₄⋊C₄	C₂⁴	1	6	yes	—
433	C₁₃×C₄⋊C₄	C₂⁴	1	12	yes	—
434	C₁₃×C₄⋊C₄	C₂⁴	1	6	yes	—
435	C₁₃×C₄⋊C₄	C₂⁴	1	6	yes	—
436	C₁₃×C₄⋊C₄	C₂⁴	1	12	yes	—
437	C₁₃×C₄⋊C₄	C₂⁴	1	12	yes	—
438	C₁₃×C₄⋊C₄	C₂⁴	1	12	yes	—
439	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
440	C₁₃×C₄⋊C₄	C₂⁴	1	6	yes	—
441	C₁₃×C₄⋊C₄	C₂⁴	1	12	yes	—
442	C₁₃×C₄⋊C₄	C₂⁴	1	6	yes	—
443	C₁₃×C₄⋊C₄	C₂⁴	1	6	yes	—
444	C₁₃×C₄⋊C₄	C₂⁴	1	6	yes	—
445	C₁₃×C₄⋊C₄	C₂⁴	1	6	yes	—
446	C₁₃×C₄⋊C₄	C₂⁴	1	6	yes	—
447	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
448	C₁₃×C₄⋊C₄	C₂⁴	1	6	yes	—
449	C₁₃×C₄⋊C₄	C₂⁴	1	6	yes	—
450	C₁₃×C₄⋊C₄	C₂⁴	1	12	yes	—
451	C₁₃×C₄⋊C₄	C₂⁴	1	6	yes	—
452	C₁₃×C₄⋊C₄	C₂⁴	1	6	yes	—
453	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
454	C₁₃×C₂²⋊C₄	C₂⁴	1	6	yes	—
455	C₁₃×C₂²⋊C₄	C₂⁴	1	6	yes	—
456	C₁₃×C₂²⋊C₄	C₂⁴	1	12	yes	—
457	C₁₃×C₂²⋊C₄	C₂⁴	1	12	yes	—
458	C₁₃×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
459	C₁₃×C₂²⋊C₄	C₂⁴	1	3	yes	—
460	C₁₃×C₂²⋊C₄	C₂⁴	1	2	yes	—
461	C₁₃×C₂²⋊C₄	C₂⁴	1	3	yes	—
462	C₁₃×C₂²⋊C₄	C₂⁴	1	6	yes	—
463	C₁₃×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
464	C₁₃×C₂²⋊C₄	C₂⁴	1	6	yes	—
465	C₁₃×C₂²⋊C₄	C₂⁴	1	6	yes	—
466	C₁₃×C₂²⋊C₄	C₂⁴	1	6	yes	—
467	C₁₃×C₂²⋊C₄	C₂⁴	1	6	yes	—
468	C₁₃×C₂²⋊C₄	C₂⁴	1	6	yes	—
469	C₁₃×C₂²⋊C₄	C₂⁴	1	6	yes	—
470	C₁₃×C₂²⋊C₄	C₂⁴	1	6	yes	—
471	C₁₃×C₂²⋊C₄	C₂⁴	1	2	yes	—
472	C₁₃×C₂²⋊C₄	C₂⁴	1	6	yes	—
473	C₁₃×C₂²⋊C₄	C₂⁴	1	6	yes	—
474	C₁₃×C₂²⋊C₄	C₂⁴	1	12	yes	—
475	C₁₃×C₂²⋊C₄	C₂⁴	1	2	yes	—
476	C₁₃×C₂²⋊C₄	C₂⁴	1	6	yes	—
477	C₁₃×C₂²⋊C₄	C₂⁴	1	6	yes	—
478	C₁₃×C₂²⋊C₄	C₂⁴	1	6	yes	—
479	C₁₃×C₂²⋊C₄	C₂⁴	1	2	yes	—
480	C₁₃×C₂²⋊C₄	C₂⁴	1	6	yes	—
481	C₁₃×C₂²⋊C₄	C₂⁴	1	12	yes	—
482	C₁₃×C₂²⋊C₄	C₂⁴	1	2	yes	—
483	C₁₃×C₂²⋊C₄	C₂⁴	1	6	yes	—
484	C₁₃×C₂²⋊C₄	C₂⁴	1	6	yes	—
485	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
486	C₄²×C₁₃	C₂⁴	1	3	yes	—
487	C₄²×C₁₃	C₂⁴	1	6	yes	—
488	C₄²×C₁₃	C₂⁴	1	6	yes	—
489	C₄²×C₁₃	C₂⁴	1	6	yes	—
490	C₄²×C₁₃	C₂⁴	1	6	yes	—
491	C₄²×C₁₃	C₂⁴	1	6	yes	—
492	C₄²×C₁₃	C₂⁴	1	6	yes	—
493	C₄²×C₁₃	C₂⁴	1	12	yes	—
494	C₄²×C₁₃	C₂⁴	1	6	yes	—
495	#3562	C₂×C₁₃	1	6	yes	complemented
496	#3554	C₂×C₁₃	1	6	yes	complemented
497	#3552	C₂×C₁₃	1	6	yes	complemented
498	#3551	C₂×C₁₃	1	3	yes	complemented
499	#3547	C₂×C₁₃	1	6	yes	complemented
500	#3541	C₂×C₁₃	1	6	yes	complemented
501	#3540	C₂×C₁₃	1	3	yes	complemented
502	#3539	C₂×C₁₃	1	6	yes	complemented
503	#3538	C₂×C₁₃	1	3	yes	complemented
504	#3529	C₂×C₁₃	1	3	yes	complemented
505	#3524	C₂×C₁₃	1	2	yes	complemented
506	#3523	C₂×C₁₃	1	2	yes	complemented
507	#3516	C₂×C₁₃	1	2	yes	complemented
508	#3499	C₂×C₁₃	1	1	yes	characteristic, complemented
509	#3497	C₂×C₁₃	1	2	yes	complemented
510	#3489	C₂×C₁₃	1	2	yes	complemented
511	#3487	C₂×C₁₃	1	1	yes	characteristic, complemented
512	#3486	C₂×C₁₃	1	1	yes	characteristic, complemented
513	#3486	C₂×C₁₃	1	2	yes	complemented
514	C₂³×C₁₃	—	4	1	no	—
515	C₂³×C₁₃	—	4	2	no	—
516	C₂³×C₁₃	—	4	3	no	—
517	C₂³×C₁₃	—	4	6	no	—
518	C₂³×C₁₃	C₂⁵	1	1	yes	characteristic
519	C₂³×C₁₃	C₂⁵	1	2	yes	—
520	C₂³×C₁₃	C₂⁵	1	1	yes	characteristic
521	C₂³×C₁₃	C₂⁵	1	6	yes	—
522	C₂³×C₁₃	C₂⁵	1	2	yes	—
523	C₂³×C₁₃	C₂⁵	1	3	yes	—
524	Q₈×C₁₃	—	2	6	no	—
525	Q₈×C₁₃	—	2	12	no	—
526	Q₈×C₁₃	—	2	12	no	—
527	Q₈×C₁₃	—	2	6	no	—
528	Q₈×C₁₃	—	4	6	no	—
529	Q₈×C₁₃	—	4	6	no	—
530	Q₈×C₁₃	—	4	3	no	—
531	Q₈×C₁₃	—	4	3	no	—
532	Q₈×C₁₃	—	4	6	no	—
533	Q₈×C₁₃	H(5,𝔽₂)	1	4	yes	—
534	D₄×C₁₃	—	2	12	no	—
535	D₄×C₁₃	—	2	6	no	—
536	D₄×C₁₃	—	4	6	no	—
537	D₄×C₁₃	—	4	2	no	—
538	D₄×C₁₃	—	4	6	no	—
539	D₄×C₁₃	—	4	2	no	—
540	D₄×C₁₃	—	4	6	no	—
541	D₄×C₁₃	—	4	6	no	—
542	D₄×C₁₃	—	4	2	no	—
543	D₄×C₁₃	—	4	6	no	—
544	D₄×C₁₃	—	4	6	no	—
545	D₄×C₁₃	—	4	12	no	—
546	D₄×C₁₃	—	4	2	no	—
547	D₄×C₁₃	—	4	2	no	—
548	D₄×C₁₃	—	4	1	no	—
549	D₄×C₁₃	—	4	1	no	—
550	D₄×C₁₃	—	4	3	no	—
551	D₄×C₁₃	—	4	6	no	—
552	D₄×C₁₃	—	4	6	no	—
553	D₄×C₁₃	—	4	3	no	—
554	D₄×C₁₃	—	4	6	no	—
555	C₂×C₄×C₁₃	—	2	6	no	—
556	C₂×C₄×C₁₃	—	2	6	no	—
557	C₂×C₄×C₁₃	—	2	12	no	—
558	C₂×C₄×C₁₃	—	2	12	no	—
559	C₂×C₄×C₁₃	—	2	12	no	—
560	C₂×C₄×C₁₃	—	2	6	no	—
561	C₂×C₄×C₁₃	—	4	1	no	—
562	C₂×C₄×C₁₃	—	4	6	no	—
563	C₂×C₄×C₁₃	—	4	3	no	—
564	C₂×C₄×C₁₃	—	4	6	no	—
565	C₂×C₄×C₁₃	—	4	12	no	—
566	C₂×C₄×C₁₃	—	4	6	no	—
567	C₂×C₄×C₁₃	—	4	6	no	—
568	C₂×C₄×C₁₃	—	4	2	no	—
569	C₂×C₄×C₁₃	—	4	6	no	—
570	C₂×C₄×C₁₃	—	4	6	no	—
571	C₂×C₄×C₁₃	—	4	12	no	—
572	C₂×C₄×C₁₃	C₂⁵	1	2	yes	—
573	C₂×C₄×C₁₃	C₂⁵	1	6	yes	—
574	C₂×C₄×C₁₃	C₂⁵	1	2	yes	—
575	C₂×C₄×C₁₃	C₂⁵	1	6	yes	—
576	C₂×C₄×C₁₃	C₂⁵	1	2	yes	—
577	C₂×C₄×C₁₃	C₂⁵	1	6	yes	—
578	C₂×C₄×C₁₃	C₂⁵	1	1	yes	characteristic
579	C₂×C₄×C₁₃	C₂⁵	1	3	yes	—
580	C₂×C₄×C₁₃	C₂⁵	1	6	yes	—
581	C₂×C₄×C₁₃	C₂⁵	1	6	yes	—
582	C₂×C₄×C₁₃	C₂⁵	1	3	yes	—
583	C₂×C₄×C₁₃	C₂⁵	1	2	yes	—
584	C₂×C₄×C₁₃	C₂⁵	1	3	yes	—
585	C₂×2₋¹⁺⁴	C₂²×C₁₃	1	1	yes	characteristic
586	C₂×2₋¹⁺⁴	C₂²×C₁₃	1	2	yes	—
587	C₂×2₋¹⁺⁴	C₂²×C₁₃	1	1	yes	characteristic, complemented
588	C₂²×#41	C₂²×C₁₃	1	1	yes	characteristic, complemented
589	C₂³×Q₈	C₂²×C₁₃	1	1	yes	characteristic, complemented
590	#563	C₂²×C₁₃	1	3	yes	—
591	#563	C₂²×C₁₃	1	6	yes	complemented
592	#563	C₂²×C₁₃	1	6	yes	complemented
593	#563	C₂²×C₁₃	1	6	yes	complemented
594	#562	C₂²×C₁₃	1	6	yes	—
595	#562	C₂²×C₁₃	1	6	yes	complemented
596	#562	C₂²×C₁₃	1	6	yes	complemented
597	#562	C₂²×C₁₃	1	12	yes	complemented
598	H(3,𝔽₄)	C₂²×C₁₃	1	3	yes	—
599	#560	C₂²×C₁₃	1	1	yes	characteristic
600	#560	C₂²×C₁₃	1	3	yes	—
601	#560	C₂²×C₁₃	1	6	yes	—
602	#560	C₂²×C₁₃	1	6	yes	complemented
603	#560	C₂²×C₁₃	1	6	yes	complemented
604	#559	C₂²×C₁₃	1	6	yes	complemented
605	#559	C₂²×C₁₃	1	6	yes	complemented
606	#557	C₂²×C₁₃	1	2	yes	complemented
607	#557	C₂²×C₁₃	1	6	yes	complemented
608	#556	C₂²×C₁₃	1	6	yes	—
609	#556	C₂²×C₁₃	1	6	yes	complemented
610	#555	C₂²×C₁₃	1	6	yes	complemented
611	#555	C₂²×C₁₃	1	6	yes	complemented
612	#554	C₂²×C₁₃	1	6	yes	complemented
613	#554	C₂²×C₁₃	1	12	yes	complemented
614	#553	C₂²×C₁₃	1	6	yes	complemented
615	#553	C₂²×C₁₃	1	6	yes	complemented
616	#553	C₂²×C₁₃	1	12	yes	complemented
617	#553	C₂²×C₁₃	1	12	yes	complemented
618	#552	C₂²×C₁₃	1	6	yes	complemented
619	#552	C₂²×C₁₃	1	6	yes	complemented
620	#552	C₂²×C₁₃	1	6	yes	complemented
621	#552	C₂²×C₁₃	1	6	yes	complemented
622	#551	C₂²×C₁₃	1	6	yes	—
623	#551	C₂²×C₁₃	1	6	yes	complemented
624	#550	C₂²×C₁₃	1	6	yes	—
625	#550	C₂²×C₁₃	1	2	yes	complemented
626	#550	C₂²×C₁₃	1	6	yes	complemented
627	D₄×Q₈	C₂²×C₁₃	1	2	yes	—
628	D₄×Q₈	C₂²×C₁₃	1	2	yes	complemented
629	D₄×Q₈	C₂²×C₁₃	1	2	yes	complemented
630	D₄×Q₈	C₂²×C₁₃	1	6	yes	complemented
631	D₄×Q₈	C₂²×C₁₃	1	6	yes	complemented
632	D₄×Q₈	C₂²×C₁₃	1	6	yes	complemented
633	D₄×Q₈	C₂²×C₁₃	1	2	yes	complemented
634	D₄×Q₈	C₂²×C₁₃	1	6	yes	complemented
635	#548	C₂²×C₁₃	1	2	yes	—
636	#548	C₂²×C₁₃	1	2	yes	—
637	#548	C₂²×C₁₃	1	6	yes	—
638	#548	C₂²×C₁₃	1	2	yes	complemented
639	#548	C₂²×C₁₃	1	6	yes	complemented
640	#548	C₂²×C₁₃	1	6	yes	complemented
641	#548	C₂²×C₁₃	1	6	yes	complemented
642	#548	C₂²×C₁₃	1	2	yes	complemented
643	#548	C₂²×C₁₃	1	6	yes	complemented
644	#548	C₂²×C₁₃	1	6	yes	complemented
645	#547	C₂²×C₁₃	1	6	yes	—
646	#547	C₂²×C₁₃	1	6	yes	complemented
647	#547	C₂²×C₁₃	1	6	yes	complemented
648	#547	C₂²×C₁₃	1	6	yes	complemented
649	#546	C₂²×C₁₃	1	6	yes	—
650	#546	C₂²×C₁₃	1	6	yes	complemented
651	#544	C₂²×C₁₃	1	12	yes	complemented
652	#542	C₂²×C₁₃	1	6	yes	complemented
653	#542	C₂²×C₁₃	1	6	yes	complemented
654	#542	C₂²×C₁₃	1	12	yes	complemented
655	#542	C₂²×C₁₃	1	12	yes	complemented
656	#541	C₂²×C₁₃	1	6	yes	complemented
657	#541	C₂²×C₁₃	1	6	yes	complemented
658	#541	C₂²×C₁₃	1	6	yes	complemented
659	#540	C₂²×C₁₃	1	6	yes	complemented
660	#540	C₂²×C₁₃	1	12	yes	complemented
661	#540	C₂²×C₁₃	1	12	yes	complemented
662	#539	C₂²×C₁₃	1	12	yes	complemented
663	#539	C₂²×C₁₃	1	12	yes	complemented
664	#539	C₂²×C₁₃	1	12	yes	complemented
665	#538	C₂²×C₁₃	1	12	yes	—
666	#538	C₂²×C₁₃	1	12	yes	complemented
667	#537	C₂²×C₁₃	1	6	yes	—
668	#537	C₂²×C₁₃	1	6	yes	complemented
669	#537	C₂²×C₁₃	1	6	yes	complemented
670	#536	C₂²×C₁₃	1	3	yes	—
671	#536	C₂²×C₁₃	1	3	yes	—
672	#536	C₂²×C₁₃	1	6	yes	complemented
673	#536	C₂²×C₁₃	1	6	yes	complemented
674	#536	C₂²×C₁₃	1	3	yes	complemented
675	#536	C₂²×C₁₃	1	6	yes	complemented
676	#536	C₂²×C₁₃	1	3	yes	complemented
677	#535	C₂²×C₁₃	1	3	yes	—
678	#535	C₂²×C₁₃	1	3	yes	complemented
679	#533	C₂²×C₁₃	1	6	yes	complemented
680	#532	C₂²×C₁₃	1	3	yes	—
681	#532	C₂²×C₁₃	1	6	yes	complemented
682	#532	C₂²×C₁₃	1	6	yes	complemented
683	C₂×C₄⋊Q₈	C₂²×C₁₃	1	3	yes	complemented
684	#529	C₂²×C₁₃	1	6	yes	—
685	#529	C₂²×C₁₃	1	6	yes	complemented
686	#529	C₂²×C₁₃	1	6	yes	complemented
687	#529	C₂²×C₁₃	1	6	yes	complemented
688	#529	C₂²×C₁₃	1	6	yes	complemented
689	#525	C₂²×C₁₃	1	3	yes	—
690	#525	C₂²×C₁₃	1	3	yes	—
691	#525	C₂²×C₁₃	1	6	yes	—
692	#525	C₂²×C₁₃	1	6	yes	complemented
693	#525	C₂²×C₁₃	1	3	yes	complemented
694	#525	C₂²×C₁₃	1	6	yes	complemented
695	#525	C₂²×C₁₃	1	3	yes	complemented
696	C₂×C₂²⋊Q₈	C₂²×C₁₃	1	6	yes	complemented
697	#520	C₂²×C₁₃	1	2	yes	complemented
698	#519	C₂²×C₁₃	1	1	yes	characteristic, complemented
699	#519	C₂²×C₁₃	1	2	yes	complemented
700	#519	C₂²×C₁₃	1	1	yes	characteristic, complemented
701	C₄×#41	C₂²×C₁₃	1	1	yes	characteristic, complemented
702	C₂×C₄×Q₈	C₂²×C₁₃	1	2	yes	complemented
703	C₂²×C₁₃	—	2	2	no	—
704	C₂²×C₁₃	—	2	1	no	—
705	C₂²×C₁₃	—	2	1	no	—
706	C₂²×C₁₃	—	2	2	no	—
707	C₂²×C₁₃	—	2	3	no	—
708	C₂²×C₁₃	—	2	6	no	—
709	C₂²×C₁₃	—	2	2	no	—
710	C₂²×C₁₃	—	2	6	no	—
711	C₂²×C₁₃	—	2	2	no	—
712	C₂²×C₁₃	—	2	6	no	—
713	C₂²×C₁₃	—	2	2	no	—
714	C₂²×C₁₃	—	2	2	no	—
715	C₂²×C₁₃	—	2	2	no	—
716	C₂²×C₁₃	—	2	6	no	—
717	C₂²×C₁₃	—	2	2	no	—
718	C₂²×C₁₃	—	4	4	no	—
719	C₂²×C₁₃	—	8	6	no	—
720	C₂²×C₁₃	C₂⁶	1	1	yes	characteristic
721	C₄×C₁₃	—	2	2	no	—
722	C₄×C₁₃	—	2	1	no	—
723	C₄×C₁₃	—	2	3	no	—
724	C₄×C₁₃	—	2	6	no	—
725	C₄×C₁₃	—	2	3	no	—
726	C₄×C₁₃	—	2	6	no	—
727	C₄×C₁₃	—	2	6	no	—
728	C₄×C₁₃	—	2	2	no	—
729	C₄×C₁₃	—	2	6	no	—
730	C₄×C₁₃	—	2	2	no	—
731	C₄×C₁₃	—	2	6	no	—
732	C₄×C₁₃	—	2	2	no	—
733	C₄×C₁₃	C₂×H(5,𝔽₂)	1	6	yes	—
734	2₋¹⁺⁴	—	4	4	no	—
735	2₋¹⁺⁴	—	4	8	no	—
736	2₋¹⁺⁴	—	4	4	no	—
737	C₂×#41	—	4	4	no	—
738	C₂×#41	C₂³×C₁₃	1	1	yes	characteristic
739	C₂×#41	C₂³×C₁₃	1	2	yes	—
740	C₂×#41	C₂³×C₁₃	1	3	yes	—
741	C₂×#41	C₂³×C₁₃	1	6	yes	—
742	C₂×#41	C₂³×C₁₃	1	3	yes	—
743	C₂×#41	C₂³×C₁₃	1	6	yes	—
744	C₂×#41	C₂³×C₁₃	1	3	yes	—
745	C₂×#41	C₂³×C₁₃	1	3	yes	—
746	C₂×#41	C₂³×C₁₃	1	6	yes	—
747	C₂×#41	C₂³×C₁₃	1	6	yes	—
748	C₂×#41	C₂³×C₁₃	1	6	yes	—
749	C₂²×Q₈	—	4	4	no	—
750	C₂²×Q₈	C₂³×C₁₃	1	2	yes	—
751	C₂²×Q₈	C₂³×C₁₃	1	1	yes	characteristic
752	C₂²×Q₈	C₂³×C₁₃	1	2	yes	—
753	C₂²×Q₈	C₂³×C₁₃	1	1	yes	characteristic
754	C₂²×Q₈	C₂³×C₁₃	1	6	yes	—
755	C₂²×Q₈	C₂³×C₁₃	1	3	yes	—
756	C₂²×Q₈	C₂³×C₁₃	1	3	yes	—
757	C₂²×Q₈	C₂³×C₁₃	1	3	yes	—
758	C₂²×Q₈	C₂³×C₁₃	1	6	yes	—
759	C₂²×D₄	C₂³×C₁₃	1	3	yes	—
760	C₂³×C₄	C₂³×C₁₃	1	3	yes	—
761	C₂³×C₄	C₂³×C₁₃	1	3	yes	—
762	C₄⋊Q₈	C₂³×C₁₃	1	3	yes	—
763	C₄⋊Q₈	C₂³×C₁₃	1	6	yes	—
764	C₄⋊Q₈	C₂³×C₁₃	1	6	yes	—
765	C₄⋊Q₈	C₂³×C₁₃	1	6	yes	—
766	C₄⋊Q₈	C₂³×C₁₃	1	6	yes	—
767	C₄⋊Q₈	C₂³×C₁₃	1	6	yes	—
768	C₄⋊Q₈	C₂³×C₁₃	1	6	yes	—
769	C₄⋊Q₈	C₂³×C₁₃	1	6	yes	—
770	C₄⋊Q₈	C₂³×C₁₃	1	6	yes	—
771	C₄⋊Q₈	C₂³×C₁₃	1	12	yes	—
772	#127	C₂³×C₁₃	1	1	yes	characteristic
773	#127	C₂³×C₁₃	1	6	yes	—
774	#127	C₂³×C₁₃	1	6	yes	—
775	#127	C₂³×C₁₃	1	6	yes	—
776	#126	C₂³×C₁₃	1	6	yes	—
777	#126	C₂³×C₁₃	1	6	yes	—
778	#126	C₂³×C₁₃	1	2	yes	—
779	#126	C₂³×C₁₃	1	6	yes	—
780	#126	C₂³×C₁₃	1	12	yes	—
781	#126	C₂³×C₁₃	1	6	yes	—
782	#126	C₂³×C₁₃	1	6	yes	—
783	#126	C₂³×C₁₃	1	12	yes	—
784	#126	C₂³×C₁₃	1	12	yes	—
785	#126	C₂³×C₁₃	1	12	yes	—
786	#126	C₂³×C₁₃	1	12	yes	—
787	#125	C₂³×C₁₃	1	6	yes	—
788	#125	C₂³×C₁₃	1	6	yes	—
789	#125	C₂³×C₁₃	1	6	yes	—
790	#125	C₂³×C₁₃	1	6	yes	—
791	#125	C₂³×C₁₃	1	6	yes	—
792	#125	C₂³×C₁₃	1	12	yes	—
793	#125	C₂³×C₁₃	1	12	yes	—
794	#125	C₂³×C₁₃	1	12	yes	—
795	#125	C₂³×C₁₃	1	12	yes	—
796	#124	C₂³×C₁₃	1	6	yes	—
797	#124	C₂³×C₁₃	1	6	yes	—
798	#124	C₂³×C₁₃	1	6	yes	—
799	#124	C₂³×C₁₃	1	6	yes	—
800	#124	C₂³×C₁₃	1	6	yes	—
801	#124	C₂³×C₁₃	1	3	yes	—
802	#124	C₂³×C₁₃	1	3	yes	—
803	#124	C₂³×C₁₃	1	6	yes	—
804	#124	C₂³×C₁₃	1	6	yes	—
805	#124	C₂³×C₁₃	1	6	yes	—
806	#124	C₂³×C₁₃	1	6	yes	—
807	#124	C₂³×C₁₃	1	6	yes	—
808	#124	C₂³×C₁₃	1	6	yes	—
809	#124	C₂³×C₁₃	1	12	yes	—
810	#124	C₂³×C₁₃	1	12	yes	—
811	#123	C₂³×C₁₃	1	1	yes	characteristic
812	#123	C₂³×C₁₃	1	3	yes	—
813	#123	C₂³×C₁₃	1	3	yes	—
814	#123	C₂³×C₁₃	1	3	yes	—
815	#123	C₂³×C₁₃	1	6	yes	—
816	#123	C₂³×C₁₃	1	6	yes	—
817	#123	C₂³×C₁₃	1	6	yes	—
818	#123	C₂³×C₁₃	1	12	yes	—
819	#123	C₂³×C₁₃	1	6	yes	—
820	#123	C₂³×C₁₃	1	6	yes	—
821	#123	C₂³×C₁₃	1	6	yes	—
822	#123	C₂³×C₁₃	1	6	yes	—
823	#123	C₂³×C₁₃	1	2	yes	—
824	#123	C₂³×C₁₃	1	6	yes	—
825	#123	C₂³×C₁₃	1	12	yes	—
826	#123	C₂³×C₁₃	1	6	yes	—
827	#123	C₂³×C₁₃	1	6	yes	—
828	#123	C₂³×C₁₃	1	6	yes	—
829	#123	C₂³×C₁₃	1	6	yes	—
830	#123	C₂³×C₁₃	1	12	yes	—
831	#123	C₂³×C₁₃	1	12	yes	—
832	#123	C₂³×C₁₃	1	12	yes	—
833	#123	C₂³×C₁₃	1	12	yes	—
834	#123	C₂³×C₁₃	1	12	yes	—
835	C₂²⋊Q₈	C₂³×C₁₃	1	6	yes	—
836	C₂²⋊Q₈	C₂³×C₁₃	1	6	yes	—
837	C₂²⋊Q₈	C₂³×C₁₃	1	6	yes	—
838	C₂²⋊Q₈	C₂³×C₁₃	1	12	yes	—
839	C₂²⋊Q₈	C₂³×C₁₃	1	6	yes	—
840	C₂²⋊Q₈	C₂³×C₁₃	1	6	yes	—
841	C₂²⋊Q₈	C₂³×C₁₃	1	6	yes	—
842	C₂²⋊Q₈	C₂³×C₁₃	1	6	yes	—
843	C₂²⋊Q₈	C₂³×C₁₃	1	6	yes	—
844	C₂²⋊Q₈	C₂³×C₁₃	1	6	yes	—
845	C₂²⋊Q₈	C₂³×C₁₃	1	6	yes	—
846	C₂²⋊Q₈	C₂³×C₁₃	1	6	yes	—
847	C₂²⋊Q₈	C₂³×C₁₃	1	6	yes	—
848	C₂²⋊Q₈	C₂³×C₁₃	1	6	yes	—
849	C₂²⋊Q₈	C₂³×C₁₃	1	6	yes	—
850	C₂²⋊Q₈	C₂³×C₁₃	1	6	yes	—
851	C₂²⋊Q₈	C₂³×C₁₃	1	6	yes	—
852	C₂²⋊Q₈	C₂³×C₁₃	1	6	yes	—
853	C₂²⋊Q₈	C₂³×C₁₃	1	6	yes	—
854	C₂²⋊Q₈	C₂³×C₁₃	1	6	yes	—
855	C₂²⋊Q₈	C₂³×C₁₃	1	6	yes	—
856	C₂²⋊Q₈	C₂³×C₁₃	1	6	yes	—
857	C₂²⋊Q₈	C₂³×C₁₃	1	12	yes	—
858	C₂²⋊Q₈	C₂³×C₁₃	1	12	yes	—
859	C₂²⋊Q₈	C₂³×C₁₃	1	12	yes	—
860	C₂²⋊Q₈	C₂³×C₁₃	1	12	yes	—
861	C₂²⋊Q₈	C₂³×C₁₃	1	12	yes	—
862	C₂²⋊Q₈	C₂³×C₁₃	1	12	yes	—
863	#121	C₂³×C₁₃	1	2	yes	—
864	#121	C₂³×C₁₃	1	6	yes	—
865	#121	C₂³×C₁₃	1	6	yes	—
866	#121	C₂³×C₁₃	1	6	yes	—
867	#121	C₂³×C₁₃	1	6	yes	—
868	#121	C₂³×C₁₃	1	6	yes	—
869	#121	C₂³×C₁₃	1	6	yes	—
870	#121	C₂³×C₁₃	1	6	yes	—
871	#121	C₂³×C₁₃	1	6	yes	—
872	#121	C₂³×C₁₃	1	6	yes	—
873	#121	C₂³×C₁₃	1	2	yes	—
874	#121	C₂³×C₁₃	1	6	yes	—
875	#121	C₂³×C₁₃	1	6	yes	—
876	#121	C₂³×C₁₃	1	6	yes	—
877	#121	C₂³×C₁₃	1	6	yes	—
878	#121	C₂³×C₁₃	1	6	yes	—
879	#121	C₂³×C₁₃	1	6	yes	—
880	#121	C₂³×C₁₃	1	6	yes	—
881	#121	C₂³×C₁₃	1	2	yes	—
882	#121	C₂³×C₁₃	1	12	yes	—
883	#121	C₂³×C₁₃	1	6	yes	—
884	#121	C₂³×C₁₃	1	6	yes	—
885	#121	C₂³×C₁₃	1	12	yes	—
886	#121	C₂³×C₁₃	1	12	yes	—
887	#121	C₂³×C₁₃	1	12	yes	—
888	#121	C₂³×C₁₃	1	12	yes	—
889	#121	C₂³×C₁₃	1	12	yes	—
890	#121	C₂³×C₁₃	1	12	yes	—
891	#120	C₂³×C₁₃	1	1	yes	characteristic
892	#120	C₂³×C₁₃	1	3	yes	—
893	#120	C₂³×C₁₃	1	3	yes	—
894	#120	C₂³×C₁₃	1	3	yes	—
895	#120	C₂³×C₁₃	1	6	yes	—
896	#120	C₂³×C₁₃	1	6	yes	—
897	#120	C₂³×C₁₃	1	2	yes	—
898	#120	C₂³×C₁₃	1	6	yes	—
899	#120	C₂³×C₁₃	1	6	yes	—
900	C₄×Q₈	C₂³×C₁₃	1	2	yes	—
901	C₄×Q₈	C₂³×C₁₃	1	2	yes	—
902	C₄×Q₈	C₂³×C₁₃	1	6	yes	—
903	C₄×Q₈	C₂³×C₁₃	1	6	yes	—
904	C₄×Q₈	C₂³×C₁₃	1	2	yes	—
905	C₄×Q₈	C₂³×C₁₃	1	6	yes	—
906	C₄×Q₈	C₂³×C₁₃	1	6	yes	—
907	C₄×Q₈	C₂³×C₁₃	1	6	yes	—
908	C₄×Q₈	C₂³×C₁₃	1	6	yes	—
909	C₄×Q₈	C₂³×C₁₃	1	6	yes	—
910	C₄×Q₈	C₂³×C₁₃	1	12	yes	—
911	C₄×D₄	C₂³×C₁₃	1	6	yes	—
912	C₄×D₄	C₂³×C₁₃	1	6	yes	—
913	C₄×D₄	C₂³×C₁₃	1	6	yes	—
914	C₄×D₄	C₂³×C₁₃	1	6	yes	—
915	C₄×D₄	C₂³×C₁₃	1	6	yes	—
916	C₄×D₄	C₂³×C₁₃	1	6	yes	—
917	C₄×D₄	C₂³×C₁₃	1	6	yes	—
918	C₄×D₄	C₂³×C₁₃	1	6	yes	—
919	C₄×D₄	C₂³×C₁₃	1	6	yes	—
920	C₄×D₄	C₂³×C₁₃	1	6	yes	—
921	C₄×D₄	C₂³×C₁₃	1	6	yes	—
922	C₄×D₄	C₂³×C₁₃	1	6	yes	—
923	C₄×D₄	C₂³×C₁₃	1	12	yes	—
924	C₄×D₄	C₂³×C₁₃	1	12	yes	—
925	C₄×D₄	C₂³×C₁₃	1	12	yes	—
926	C₄×D₄	C₂³×C₁₃	1	12	yes	—
927	C₄×D₄	C₂³×C₁₃	1	12	yes	—
928	C₄×D₄	C₂³×C₁₃	1	12	yes	—
929	C₄×D₄	C₂³×C₁₃	1	12	yes	—
930	C₄×D₄	C₂³×C₁₃	1	12	yes	—
931	#117	C₂³×C₁₃	1	3	yes	—
932	#117	C₂³×C₁₃	1	3	yes	—
933	#117	C₂³×C₁₃	1	3	yes	—
934	#117	C₂³×C₁₃	1	6	yes	—
935	#117	C₂³×C₁₃	1	3	yes	—
936	#117	C₂³×C₁₃	1	3	yes	—
937	#117	C₂³×C₁₃	1	6	yes	—
938	#117	C₂³×C₁₃	1	6	yes	—
939	#117	C₂³×C₁₃	1	12	yes	—
940	#117	C₂³×C₁₃	1	12	yes	—
941	#117	C₂³×C₁₃	1	12	yes	—
942	C₂×C₄⋊C₄	C₂³×C₁₃	1	6	yes	—
943	C₂×C₄⋊C₄	C₂³×C₁₃	1	6	yes	—
944	C₂×C₄⋊C₄	C₂³×C₁₃	1	12	yes	—
945	C₂×C₄⋊C₄	C₂³×C₁₃	1	12	yes	—
946	C₂×C₂²⋊C₄	C₂³×C₁₃	1	12	yes	—
947	C₂×C₄²	C₂³×C₁₃	1	6	yes	—
948	C₂×C₄²	C₂³×C₁₃	1	3	yes	—
949	C₂×C₁₃	—	4	2	no	—
950	C₂×C₁₃	—	4	3	no	—
951	C₂×C₁₃	—	4	2	no	—
952	C₂×C₁₃	—	4	1	no	—
953	C₂×C₁₃	—	4	6	no	—
954	C₂×C₁₃	—	4	1	no	—
955	C₂×C₁₃	C₂²×H(5,𝔽₂)	1	1	yes	characteristic
956	C₂×C₁₃	2₋¹⁺⁶	1	2	yes	—
957	C₂⁴	C₂⁴×C₁₃	1	3	yes	—
958	C₂⁴	C₂⁴×C₁₃	1	1	yes	characteristic
959	#41	—	2	8	no	—
960	#41	—	2	4	no	—
961	#41	—	4	6	no	—
962	#41	—	4	12	no	—
963	#41	—	4	6	no	—
964	#41	—	4	12	no	—
965	#41	—	4	6	no	—
966	#41	—	4	12	no	—
967	#41	—	4	6	no	—
968	#41	—	4	12	no	—
969	#41	—	4	12	no	—
970	C₂×Q₈	—	2	4	no	—
971	C₂×Q₈	—	2	8	no	—
972	C₂×Q₈	—	2	4	no	—
973	C₂×Q₈	—	2	8	no	—
974	C₂×Q₈	—	4	6	no	—
975	C₂×Q₈	—	4	12	no	—
976	C₂×Q₈	—	4	12	no	—
977	C₂×Q₈	—	4	6	no	—
978	C₂×Q₈	—	4	6	no	—
979	C₂×Q₈	C₂⁴×C₁₃	1	3	yes	—
980	C₂×Q₈	C₂⁴×C₁₃	1	6	yes	—
981	C₂×Q₈	C₂⁴×C₁₃	1	6	yes	—
982	C₂×Q₈	C₂⁴×C₁₃	1	3	yes	—
983	C₂×Q₈	C₂⁴×C₁₃	1	6	yes	—
984	C₂×Q₈	C₂⁴×C₁₃	1	6	yes	—
985	C₂×Q₈	C₂⁴×C₁₃	1	6	yes	—
986	C₂×Q₈	C₂⁴×C₁₃	1	3	yes	—
987	C₂×Q₈	C₂⁴×C₁₃	1	3	yes	—
988	C₂×Q₈	C₂⁴×C₁₃	1	1	yes	characteristic
989	C₂×D₄	—	4	6	no	—
990	C₂×D₄	C₂⁴×C₁₃	1	6	yes	—
991	C₂×D₄	C₂⁴×C₁₃	1	3	yes	—
992	C₂×D₄	C₂⁴×C₁₃	1	2	yes	—
993	C₂×D₄	C₂⁴×C₁₃	1	2	yes	—
994	C₂×D₄	C₂⁴×C₁₃	1	6	yes	—
995	C₂×D₄	C₂⁴×C₁₃	1	6	yes	—
996	C₂×D₄	C₂⁴×C₁₃	1	6	yes	—
997	C₂×D₄	C₂⁴×C₁₃	1	6	yes	—
998	C₂×D₄	C₂⁴×C₁₃	1	2	yes	—
999	C₂×D₄	C₂⁴×C₁₃	1	12	yes	—
1000	C₂×D₄	C₂⁴×C₁₃	1	6	yes	—
1001	C₂×D₄	C₂⁴×C₁₃	1	2	yes	—
1002	C₂×D₄	C₂⁴×C₁₃	1	1	yes	characteristic
1003	C₂×D₄	C₂⁴×C₁₃	1	3	yes	—
1004	C₂×D₄	C₂⁴×C₁₃	1	6	yes	—
1005	C₂×D₄	C₂⁴×C₁₃	1	2	yes	—
1006	C₂×D₄	C₂⁴×C₁₃	1	6	yes	—
1007	C₂×D₄	C₂⁴×C₁₃	1	3	yes	—
1008	C₂×D₄	C₂⁴×C₁₃	1	6	yes	—
1009	C₂×D₄	C₂⁴×C₁₃	1	1	yes	characteristic
1010	C₂×D₄	C₂⁴×C₁₃	1	6	yes	—
1011	C₂²×C₄	—	4	6	no	—
1012	C₂²×C₄	—	4	6	no	—
1013	C₂²×C₄	C₂⁴×C₁₃	1	6	yes	—
1014	C₂²×C₄	C₂⁴×C₁₃	1	3	yes	—
1015	C₂²×C₄	C₂⁴×C₁₃	1	6	yes	—
1016	C₂²×C₄	C₂⁴×C₁₃	1	3	yes	—
1017	C₂²×C₄	C₂⁴×C₁₃	1	6	yes	—
1018	C₂²×C₄	C₂⁴×C₁₃	1	3	yes	—
1019	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
1020	C₂²×C₄	C₂⁴×C₁₃	1	6	yes	—
1021	C₂²×C₄	C₂⁴×C₁₃	1	6	yes	—
1022	C₂²×C₄	C₂⁴×C₁₃	1	12	yes	—
1023	C₂²×C₄	C₂⁴×C₁₃	1	12	yes	—
1024	C₂²×C₄	C₂⁴×C₁₃	1	6	yes	—
1025	C₂²×C₄	C₂⁴×C₁₃	1	6	yes	—
1026	C₂²×C₄	C₂⁴×C₁₃	1	6	yes	—
1027	C₂²×C₄	C₂⁴×C₁₃	1	6	yes	—
1028	C₂²×C₄	C₂⁴×C₁₃	1	3	yes	—
1029	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1030	C₄⋊C₄	C₂⁴×C₁₃	1	6	yes	—
1031	C₄⋊C₄	C₂⁴×C₁₃	1	6	yes	—
1032	C₄⋊C₄	C₂⁴×C₁₃	1	6	yes	—
1033	C₄⋊C₄	C₂⁴×C₁₃	1	6	yes	—
1034	C₄⋊C₄	C₂⁴×C₁₃	1	6	yes	—
1035	C₄⋊C₄	C₂⁴×C₁₃	1	6	yes	—
1036	C₄⋊C₄	C₂⁴×C₁₃	1	12	yes	—
1037	C₄⋊C₄	C₂⁴×C₁₃	1	6	yes	—
1038	C₄⋊C₄	C₂⁴×C₁₃	1	6	yes	—
1039	C₄⋊C₄	C₂⁴×C₁₃	1	12	yes	—
1040	C₄⋊C₄	C₂⁴×C₁₃	1	12	yes	—
1041	C₄⋊C₄	C₂⁴×C₁₃	1	12	yes	—
1042	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
1043	C₄⋊C₄	C₂⁴×C₁₃	1	6	yes	—
1044	C₄⋊C₄	C₂⁴×C₁₃	1	12	yes	—
1045	C₄⋊C₄	C₂⁴×C₁₃	1	6	yes	—
1046	C₄⋊C₄	C₂⁴×C₁₃	1	6	yes	—
1047	C₄⋊C₄	C₂⁴×C₁₃	1	6	yes	—
1048	C₄⋊C₄	C₂⁴×C₁₃	1	6	yes	—
1049	C₄⋊C₄	C₂⁴×C₁₃	1	6	yes	—
1050	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
1051	C₄⋊C₄	C₂⁴×C₁₃	1	6	yes	—
1052	C₄⋊C₄	C₂⁴×C₁₃	1	6	yes	—
1053	C₄⋊C₄	C₂⁴×C₁₃	1	12	yes	—
1054	C₄⋊C₄	C₂⁴×C₁₃	1	6	yes	—
1055	C₄⋊C₄	C₂⁴×C₁₃	1	6	yes	—
1056	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
1057	C₂²⋊C₄	C₂⁴×C₁₃	1	6	yes	—
1058	C₂²⋊C₄	C₂⁴×C₁₃	1	6	yes	—
1059	C₂²⋊C₄	C₂⁴×C₁₃	1	12	yes	—
1060	C₂²⋊C₄	C₂⁴×C₁₃	1	12	yes	—
1061	C₂²⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1062	C₂²⋊C₄	C₂⁴×C₁₃	1	3	yes	—
1063	C₂²⋊C₄	C₂⁴×C₁₃	1	2	yes	—
1064	C₂²⋊C₄	C₂⁴×C₁₃	1	3	yes	—
1065	C₂²⋊C₄	C₂⁴×C₁₃	1	6	yes	—
1066	C₂²⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1067	C₂²⋊C₄	C₂⁴×C₁₃	1	6	yes	—
1068	C₂²⋊C₄	C₂⁴×C₁₃	1	6	yes	—
1069	C₂²⋊C₄	C₂⁴×C₁₃	1	6	yes	—
1070	C₂²⋊C₄	C₂⁴×C₁₃	1	6	yes	—
1071	C₂²⋊C₄	C₂⁴×C₁₃	1	6	yes	—
1072	C₂²⋊C₄	C₂⁴×C₁₃	1	6	yes	—
1073	C₂²⋊C₄	C₂⁴×C₁₃	1	6	yes	—
1074	C₂²⋊C₄	C₂⁴×C₁₃	1	2	yes	—
1075	C₂²⋊C₄	C₂⁴×C₁₃	1	6	yes	—
1076	C₂²⋊C₄	C₂⁴×C₁₃	1	6	yes	—
1077	C₂²⋊C₄	C₂⁴×C₁₃	1	12	yes	—
1078	C₂²⋊C₄	C₂⁴×C₁₃	1	2	yes	—
1079	C₂²⋊C₄	C₂⁴×C₁₃	1	6	yes	—
1080	C₂²⋊C₄	C₂⁴×C₁₃	1	6	yes	—
1081	C₂²⋊C₄	C₂⁴×C₁₃	1	6	yes	—
1082	C₂²⋊C₄	C₂⁴×C₁₃	1	2	yes	—
1083	C₂²⋊C₄	C₂⁴×C₁₃	1	6	yes	—
1084	C₂²⋊C₄	C₂⁴×C₁₃	1	12	yes	—
1085	C₂²⋊C₄	C₂⁴×C₁₃	1	2	yes	—
1086	C₂²⋊C₄	C₂⁴×C₁₃	1	6	yes	—
1087	C₂²⋊C₄	C₂⁴×C₁₃	1	6	yes	—
1088	C₄²	C₂⁴×C₁₃	1	1	yes	characteristic
1089	C₄²	C₂⁴×C₁₃	1	3	yes	—
1090	C₄²	C₂⁴×C₁₃	1	6	yes	—
1091	C₄²	C₂⁴×C₁₃	1	6	yes	—
1092	C₄²	C₂⁴×C₁₃	1	6	yes	—
1093	C₄²	C₂⁴×C₁₃	1	6	yes	—
1094	C₄²	C₂⁴×C₁₃	1	6	yes	—
1095	C₄²	C₂⁴×C₁₃	1	6	yes	—
1096	C₄²	C₂⁴×C₁₃	1	12	yes	—
1097	C₄²	C₂⁴×C₁₃	1	6	yes	—
1098	C₁₃	#63044	1	1	yes	characteristic, direct product factor, Sylow
1099	C₂³	—	4	1	no	—
1100	C₂³	—	4	2	no	—
1101	C₂³	—	4	3	no	—
1102	C₂³	—	4	6	no	—
1103	C₂³	C₂⁵×C₁₃	1	1	yes	characteristic
1104	C₂³	C₂⁵×C₁₃	1	2	yes	—
1105	C₂³	C₂⁵×C₁₃	1	1	yes	characteristic
1106	C₂³	C₂⁵×C₁₃	1	6	yes	—
1107	C₂³	C₂⁵×C₁₃	1	2	yes	—
1108	C₂³	C₂⁵×C₁₃	1	3	yes	—
1109	Q₈	—	2	6	no	—
1110	Q₈	—	2	12	no	—
1111	Q₈	—	2	12	no	—
1112	Q₈	—	2	6	no	—
1113	Q₈	—	4	6	no	—
1114	Q₈	—	4	6	no	—
1115	Q₈	—	4	3	no	—
1116	Q₈	—	4	3	no	—
1117	Q₈	—	4	6	no	—
1118	Q₈	C₁₃×H(5,𝔽₂)	1	4	yes	—
1119	D₄	—	2	12	no	—
1120	D₄	—	2	6	no	—
1121	D₄	—	4	6	no	—
1122	D₄	—	4	2	no	—
1123	D₄	—	4	6	no	—
1124	D₄	—	4	2	no	—
1125	D₄	—	4	6	no	—
1126	D₄	—	4	6	no	—
1127	D₄	—	4	2	no	—
1128	D₄	—	4	6	no	—
1129	D₄	—	4	6	no	—
1130	D₄	—	4	12	no	—
1131	D₄	—	4	2	no	—
1132	D₄	—	4	2	no	—
1133	D₄	—	4	1	no	—
1134	D₄	—	4	1	no	—
1135	D₄	—	4	3	no	—
1136	D₄	—	4	6	no	—
1137	D₄	—	4	6	no	—
1138	D₄	—	4	3	no	—
1139	D₄	—	4	6	no	—
1140	C₂×C₄	—	2	6	no	—
1141	C₂×C₄	—	2	6	no	—
1142	C₂×C₄	—	2	12	no	—
1143	C₂×C₄	—	2	12	no	—
1144	C₂×C₄	—	2	12	no	—
1145	C₂×C₄	—	2	6	no	—
1146	C₂×C₄	—	4	1	no	—
1147	C₂×C₄	—	4	6	no	—
1148	C₂×C₄	—	4	3	no	—
1149	C₂×C₄	—	4	6	no	—
1150	C₂×C₄	—	4	12	no	—
1151	C₂×C₄	—	4	6	no	—
1152	C₂×C₄	—	4	6	no	—
1153	C₂×C₄	—	4	2	no	—
1154	C₂×C₄	—	4	6	no	—
1155	C₂×C₄	—	4	6	no	—
1156	C₂×C₄	—	4	12	no	—
1157	C₂×C₄	C₂⁵×C₁₃	1	2	yes	—
1158	C₂×C₄	C₂⁵×C₁₃	1	6	yes	—
1159	C₂×C₄	C₂⁵×C₁₃	1	2	yes	—
1160	C₂×C₄	C₂⁵×C₁₃	1	6	yes	—
1161	C₂×C₄	C₂⁵×C₁₃	1	2	yes	—
1162	C₂×C₄	C₂⁵×C₁₃	1	6	yes	—
1163	C₂×C₄	C₂⁵×C₁₃	1	1	yes	characteristic
1164	C₂×C₄	C₂⁵×C₁₃	1	3	yes	—
1165	C₂×C₄	C₂⁵×C₁₃	1	6	yes	—
1166	C₂×C₄	C₂⁵×C₁₃	1	6	yes	—
1167	C₂×C₄	C₂⁵×C₁₃	1	3	yes	—
1168	C₂×C₄	C₂⁵×C₁₃	1	2	yes	—
1169	C₂×C₄	C₂⁵×C₁₃	1	3	yes	—
1170	C₂²	—	2	2	no	—
1171	C₂²	—	2	1	no	—
1172	C₂²	—	2	1	no	—
1173	C₂²	—	2	2	no	—
1174	C₂²	—	2	3	no	—
1175	C₂²	—	2	6	no	—
1176	C₂²	—	2	2	no	—
1177	C₂²	—	2	6	no	—
1178	C₂²	—	2	2	no	—
1179	C₂²	—	2	6	no	—
1180	C₂²	—	2	2	no	—
1181	C₂²	—	2	2	no	—
1182	C₂²	—	2	2	no	—
1183	C₂²	—	2	6	no	—
1184	C₂²	—	2	2	no	—
1185	C₂²	—	4	4	no	—
1186	C₂²	—	8	6	no	—
1187	C₂²	C₂⁶×C₁₃	1	1	yes	characteristic
1188	C₄	—	2	2	no	—
1189	C₄	—	2	1	no	—
1190	C₄	—	2	3	no	—
1191	C₄	—	2	6	no	—
1192	C₄	—	2	3	no	—
1193	C₄	—	2	6	no	—
1194	C₄	—	2	6	no	—
1195	C₄	—	2	2	no	—
1196	C₄	—	2	6	no	—
1197	C₄	—	2	2	no	—
1198	C₄	—	2	6	no	—
1199	C₄	—	2	2	no	—
1200	C₄	C₂×C₁₃×H(5,𝔽₂)	1	6	yes	—
1201	C₂	—	4	2	no	—
1202	C₂	—	4	1	no	—
1203	C₂	—	4	1	no	—
1204	C₂	—	4	6	no	—
1205	C₂	—	4	2	no	—
1206	C₂	—	4	3	no	—
1207	C₂	C₂²×C₁₃×H(5,𝔽₂)	1	1	yes	characteristic
1208	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×#3562	C₂	semidirect
2. C₁₃×#3554	C₂	semidirect
3. C₁₃×#3552	C₂	semidirect
4. C₁₃×#3551	C₂	semidirect
5. C₁₃×#3547	C₂	semidirect
6. C₁₃×#3541	C₂	semidirect
7. C₁₃×#3540	C₂	semidirect
8. C₁₃×#3539	C₂	semidirect
9. C₁₃×#3538	C₂	semidirect
10. C₁₃×#3529	C₂	semidirect
11. C₁₃×#3524	C₂	semidirect
12. C₁₃×#3523	C₂	semidirect
13. C₁₃×#3516	C₂	semidirect
14. C₁₃×#3499	C₂	semidirect
15. C₁₃×#3497	C₂	semidirect
16. C₁₃×#3489	C₂	semidirect
17. C₁₃×#3487	C₂	semidirect
18. C₁₃×#3486	C₂	semidirect
19. C₁₃×#3486	C₂	semidirect
22. C₂×C₁₃×2₋¹⁺⁴	C₂²	semidirect
23. C₂²×C₁₃×#41	C₂²	semidirect
24. C₂³×Q₈×C₁₃	C₂²	semidirect
26. C₁₃×#563	C₂²	semidirect
27. C₁₃×#563	C₂²	semidirect
28. C₁₃×#563	C₂²	semidirect
30. C₁₃×#562	C₂²	semidirect
31. C₁₃×#562	C₂²	semidirect
32. C₁₃×#562	C₂²	semidirect
37. C₁₃×#560	C₂²	semidirect
38. C₁₃×#560	C₂²	semidirect
39. C₁₃×#559	C₂²	semidirect
40. C₁₃×#559	C₂²	semidirect
41. C₁₃×#557	C₂²	semidirect
42. C₁₃×#557	C₂²	semidirect
44. C₁₃×#556	C₂²	semidirect
45. C₁₃×#555	C₂²	semidirect
46. C₁₃×#555	C₂²	semidirect
47. C₁₃×#554	C₂²	semidirect
48. C₁₃×#554	C₂²	semidirect
49. C₁₃×#553	C₂²	semidirect
50. C₁₃×#553	C₂²	semidirect
51. C₁₃×#553	C₂²	semidirect
52. C₁₃×#553	C₂²	semidirect
53. C₁₃×#552	C₂²	semidirect
54. C₁₃×#552	C₂²	semidirect
55. C₁₃×#552	C₂²	semidirect
56. C₁₃×#552	C₂²	semidirect
58. C₁₃×#551	C₂²	semidirect
60. C₁₃×#550	C₂²	semidirect
61. C₁₃×#550	C₂²	semidirect
63. D₄×Q₈×C₁₃	C₂²	semidirect
64. D₄×Q₈×C₁₃	C₂²	semidirect
65. D₄×Q₈×C₁₃	C₂²	semidirect
66. D₄×Q₈×C₁₃	C₂²	semidirect
67. D₄×Q₈×C₁₃	C₂²	semidirect
68. D₄×Q₈×C₁₃	C₂²	semidirect
69. D₄×Q₈×C₁₃	C₂²	semidirect
73. C₁₃×#548	C₂²	semidirect
74. C₁₃×#548	C₂²	semidirect
75. C₁₃×#548	C₂²	semidirect
76. C₁₃×#548	C₂²	semidirect
77. C₁₃×#548	C₂²	semidirect
78. C₁₃×#548	C₂²	semidirect
79. C₁₃×#548	C₂²	semidirect
81. C₁₃×#547	C₂²	semidirect
82. C₁₃×#547	C₂²	semidirect
83. C₁₃×#547	C₂²	semidirect
85. C₁₃×#546	C₂²	semidirect
86. C₁₃×#544	C₂²	semidirect
87. C₁₃×#542	C₂²	semidirect
88. C₁₃×#542	C₂²	semidirect
89. C₁₃×#542	C₂²	semidirect
90. C₁₃×#542	C₂²	semidirect
91. C₁₃×#541	C₂²	semidirect
92. C₁₃×#541	C₂²	semidirect
93. C₁₃×#541	C₂²	semidirect
94. C₁₃×#540	C₂²	semidirect
95. C₁₃×#540	C₂²	semidirect
96. C₁₃×#540	C₂²	semidirect
97. C₁₃×#539	C₂²	semidirect
98. C₁₃×#539	C₂²	semidirect
99. C₁₃×#539	C₂²	semidirect
101. C₁₃×#538	C₂²	semidirect
103. C₁₃×#537	C₂²	semidirect
104. C₁₃×#537	C₂²	semidirect
107. C₁₃×#536	C₂²	semidirect
108. C₁₃×#536	C₂²	semidirect
109. C₁₃×#536	C₂²	semidirect
110. C₁₃×#536	C₂²	semidirect
111. C₁₃×#536	C₂²	semidirect
113. C₁₃×#535	C₂²	semidirect
114. C₁₃×#533	C₂²	semidirect
116. C₁₃×#532	C₂²	semidirect
117. C₁₃×#532	C₂²	semidirect
118. C₂×C₁₃×C₄⋊Q₈	C₂²	semidirect
120. C₁₃×#529	C₂²	semidirect
121. C₁₃×#529	C₂²	semidirect
122. C₁₃×#529	C₂²	semidirect
123. C₁₃×#529	C₂²	semidirect
127. C₁₃×#525	C₂²	semidirect
128. C₁₃×#525	C₂²	semidirect
129. C₁₃×#525	C₂²	semidirect
130. C₁₃×#525	C₂²	semidirect
131. C₂×C₁₃×C₂²⋊Q₈	C₂²	semidirect
132. C₁₃×#520	C₂²	semidirect
133. C₁₃×#519	C₂²	semidirect
134. C₁₃×#519	C₂²	semidirect
135. C₁₃×#519	C₂²	semidirect
136. C₄×C₁₃×#41	C₂²	semidirect
137. C₂×C₄×Q₈×C₁₃	C₂²	semidirect
353. #63044	C₁₃	direct (N × H)
495. #3562	C₂×C₁₃	semidirect
496. #3554	C₂×C₁₃	semidirect
497. #3552	C₂×C₁₃	semidirect
498. #3551	C₂×C₁₃	semidirect
499. #3547	C₂×C₁₃	semidirect
500. #3541	C₂×C₁₃	semidirect
501. #3540	C₂×C₁₃	semidirect
502. #3539	C₂×C₁₃	semidirect
503. #3538	C₂×C₁₃	semidirect
504. #3529	C₂×C₁₃	semidirect
505. #3524	C₂×C₁₃	semidirect
506. #3523	C₂×C₁₃	semidirect
507. #3516	C₂×C₁₃	semidirect
508. #3499	C₂×C₁₃	semidirect
509. #3497	C₂×C₁₃	semidirect
510. #3489	C₂×C₁₃	semidirect
511. #3487	C₂×C₁₃	semidirect
512. #3486	C₂×C₁₃	semidirect
513. #3486	C₂×C₁₃	semidirect
587. C₂×2₋¹⁺⁴	C₂²×C₁₃	semidirect
588. C₂²×#41	C₂²×C₁₃	semidirect
589. C₂³×Q₈	C₂²×C₁₃	semidirect
591. #563	C₂²×C₁₃	semidirect
592. #563	C₂²×C₁₃	semidirect
593. #563	C₂²×C₁₃	semidirect
595. #562	C₂²×C₁₃	semidirect
596. #562	C₂²×C₁₃	semidirect
597. #562	C₂²×C₁₃	semidirect
602. #560	C₂²×C₁₃	semidirect
603. #560	C₂²×C₁₃	semidirect
604. #559	C₂²×C₁₃	semidirect
605. #559	C₂²×C₁₃	semidirect
606. #557	C₂²×C₁₃	semidirect
607. #557	C₂²×C₁₃	semidirect
609. #556	C₂²×C₁₃	semidirect
610. #555	C₂²×C₁₃	semidirect
611. #555	C₂²×C₁₃	semidirect
612. #554	C₂²×C₁₃	semidirect
613. #554	C₂²×C₁₃	semidirect
614. #553	C₂²×C₁₃	semidirect
615. #553	C₂²×C₁₃	semidirect
616. #553	C₂²×C₁₃	semidirect
617. #553	C₂²×C₁₃	semidirect
618. #552	C₂²×C₁₃	semidirect
619. #552	C₂²×C₁₃	semidirect
620. #552	C₂²×C₁₃	semidirect
621. #552	C₂²×C₁₃	semidirect
623. #551	C₂²×C₁₃	semidirect
625. #550	C₂²×C₁₃	semidirect
626. #550	C₂²×C₁₃	semidirect
628. D₄×Q₈	C₂²×C₁₃	semidirect
629. D₄×Q₈	C₂²×C₁₃	semidirect
630. D₄×Q₈	C₂²×C₁₃	semidirect
631. D₄×Q₈	C₂²×C₁₃	semidirect
632. D₄×Q₈	C₂²×C₁₃	semidirect
633. D₄×Q₈	C₂²×C₁₃	semidirect
634. D₄×Q₈	C₂²×C₁₃	semidirect
638. #548	C₂²×C₁₃	semidirect
639. #548	C₂²×C₁₃	semidirect
640. #548	C₂²×C₁₃	semidirect
641. #548	C₂²×C₁₃	semidirect
642. #548	C₂²×C₁₃	semidirect
643. #548	C₂²×C₁₃	semidirect
644. #548	C₂²×C₁₃	semidirect
646. #547	C₂²×C₁₃	semidirect
647. #547	C₂²×C₁₃	semidirect
648. #547	C₂²×C₁₃	semidirect
650. #546	C₂²×C₁₃	semidirect
651. #544	C₂²×C₁₃	semidirect
652. #542	C₂²×C₁₃	semidirect
653. #542	C₂²×C₁₃	semidirect
654. #542	C₂²×C₁₃	semidirect
655. #542	C₂²×C₁₃	semidirect
656. #541	C₂²×C₁₃	semidirect
657. #541	C₂²×C₁₃	semidirect
658. #541	C₂²×C₁₃	semidirect
659. #540	C₂²×C₁₃	semidirect
660. #540	C₂²×C₁₃	semidirect
661. #540	C₂²×C₁₃	semidirect
662. #539	C₂²×C₁₃	semidirect
663. #539	C₂²×C₁₃	semidirect
664. #539	C₂²×C₁₃	semidirect
666. #538	C₂²×C₁₃	semidirect
668. #537	C₂²×C₁₃	semidirect
669. #537	C₂²×C₁₃	semidirect
672. #536	C₂²×C₁₃	semidirect
673. #536	C₂²×C₁₃	semidirect
674. #536	C₂²×C₁₃	semidirect
675. #536	C₂²×C₁₃	semidirect
676. #536	C₂²×C₁₃	semidirect
678. #535	C₂²×C₁₃	semidirect
679. #533	C₂²×C₁₃	semidirect
681. #532	C₂²×C₁₃	semidirect
682. #532	C₂²×C₁₃	semidirect
683. C₂×C₄⋊Q₈	C₂²×C₁₃	semidirect
685. #529	C₂²×C₁₃	semidirect
686. #529	C₂²×C₁₃	semidirect
687. #529	C₂²×C₁₃	semidirect
688. #529	C₂²×C₁₃	semidirect
692. #525	C₂²×C₁₃	semidirect
693. #525	C₂²×C₁₃	semidirect
694. #525	C₂²×C₁₃	semidirect
695. #525	C₂²×C₁₃	semidirect
696. C₂×C₂²⋊Q₈	C₂²×C₁₃	semidirect
697. #520	C₂²×C₁₃	semidirect
698. #519	C₂²×C₁₃	semidirect
699. #519	C₂²×C₁₃	semidirect
700. #519	C₂²×C₁₃	semidirect
701. C₄×#41	C₂²×C₁₃	semidirect
702. C₂×C₄×Q₈	C₂²×C₁₃	semidirect
1098. C₁₃	#63044	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×#3562	2
C₁₃×#3554	2
C₁₃×#3552	2
C₁₃×#3551	2
C₁₃×#3547	2
C₁₃×#3541	2
C₁₃×#3540	2
C₁₃×#3539	2
C₁₃×#3538	2
C₁₃×#3529	2
C₁₃×#3524	2
C₁₃×#3523	2
C₁₃×#3516	2
C₁₃×#3499	2
C₁₃×#3497	2
C₁₃×#3489	2
C₁₃×#3487	2
C₁₃×#3486	2
#63044	13

Subgroups — C13×#63044 #15749383

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₃×#63044 #15749383