Subgroups — C₁₃×#63063 #15749402

Order 3328.

6916 conjugacy classes of subgroups.

The subgroup lattice has 1428 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	2	yes	maximal, complemented
2	C₁₃×#3560	C₂	1	8	yes	maximal, complemented
3	C₁₃×#3559	C₂	1	4	yes	maximal, complemented
4	C₁₃×#3552	C₂	1	4	yes	maximal, complemented
5	C₁₃×#3551	C₂	1	2	yes	maximal, complemented
6	C₁₃×#3550	C₂	1	1	yes	maximal, characteristic, complemented
7	C₁₃×#3545	C₂	1	2	yes	maximal, complemented
8	C₁₃×#3544	C₂	1	4	yes	maximal, complemented
9	C₁₃×#3541	C₂	1	4	yes	maximal, complemented
10	C₁₃×#3538	C₂	1	2	yes	maximal, complemented
11	C₁₃×#3535	C₂	1	8	yes	maximal, complemented
12	C₁₃×#3533	C₂	1	4	yes	maximal, complemented
13	C₁₃×#3529	C₂	1	1	yes	maximal, characteristic, complemented
14	C₂×C₁₃×#563	C₂	1	2	yes	maximal, complemented
15	C₁₃×#3521	C₂	1	4	yes	maximal, complemented
16	C₁₃×#3515	C₂	1	2	yes	maximal, complemented
17	C₁₃×#3500	C₂	1	1	yes	maximal, characteristic, complemented
18	C₁₃×#3499	C₂	1	2	yes	maximal, complemented
19	C₁₃×#3489	C₂	1	4	yes	maximal, complemented
20	C₁₃×#3485	C₂	1	2	yes	maximal, complemented
21	C₂×C₁₃×2₋¹⁺⁴	C₂²	1	2	yes	complemented
22	C₂×C₁₃×2₋¹⁺⁴	C₂²	1	1	yes	characteristic, complemented
23	C₂×C₁₃×H(5,𝔽₂)	C₂²	1	1	yes	characteristic
24	C₂²×C₁₃×#41	C₂²	1	2	yes	complemented
25	C₁₃×#563	C₂²	1	1	yes	characteristic, complemented
26	C₁₃×#563	C₂²	1	4	yes	complemented
27	C₁₃×#563	C₂²	1	8	yes	complemented
28	C₁₃×#563	C₂²	1	4	yes	complemented
29	C₁₃×#563	C₂²	1	2	yes	complemented
30	C₁₃×#563	C₂²	1	8	yes	complemented
31	C₁₃×#563	C₂²	1	4	yes	complemented
32	C₁₃×#563	C₂²	1	2	yes	complemented
33	C₁₃×#563	C₂²	1	4	yes	complemented
34	C₁₃×#563	C₂²	1	8	yes	complemented
35	C₁₃×#563	C₂²	1	2	yes	complemented
36	C₁₃×#562	C₂²	1	4	yes	complemented
37	C₁₃×#562	C₂²	1	2	yes	complemented
38	C₁₃×#562	C₂²	1	8	yes	complemented
39	C₁₃×#562	C₂²	1	4	yes	complemented
40	C₁₃×H(3,𝔽₄)	C₂²	1	1	yes	characteristic, complemented
41	C₁₃×#560	C₂²	1	2	yes	complemented
42	C₁₃×#560	C₂²	1	4	yes	complemented
43	C₁₃×#560	C₂²	1	4	yes	complemented
44	C₁₃×#559	C₂²	1	2	yes	complemented
45	Q₈²×C₁₃	C₂²	1	2	yes	complemented
46	C₁₃×#557	C₂²	1	2	yes	complemented
47	C₁₃×#556	C₂²	1	4	yes	complemented
48	C₁₃×#556	C₂²	1	4	yes	complemented
49	C₁₃×#555	C₂²	1	4	yes	complemented
50	C₁₃×#554	C₂²	1	2	yes	complemented
51	C₁₃×#554	C₂²	1	8	yes	complemented
52	C₁₃×#554	C₂²	1	8	yes	complemented
53	C₁₃×#554	C₂²	1	2	yes	complemented
54	C₁₃×#553	C₂²	1	4	yes	complemented
55	C₁₃×#553	C₂²	1	8	yes	complemented
56	C₁₃×#553	C₂²	1	8	yes	complemented
57	C₁₃×#553	C₂²	1	8	yes	complemented
58	C₁₃×#553	C₂²	1	4	yes	complemented
59	C₁₃×#552	C₂²	1	8	yes	complemented
60	C₁₃×#552	C₂²	1	4	yes	complemented
61	C₁₃×#552	C₂²	1	8	yes	complemented
62	C₁₃×#552	C₂²	1	4	yes	complemented
63	C₁₃×#552	C₂²	1	4	yes	complemented
64	C₁₃×#551	C₂²	1	8	yes	complemented
65	C₁₃×#551	C₂²	1	8	yes	complemented
66	C₁₃×#551	C₂²	1	4	yes	complemented
67	C₁₃×#551	C₂²	1	4	yes	complemented
68	C₁₃×#551	C₂²	1	8	yes	complemented
69	C₁₃×#551	C₂²	1	4	yes	complemented
70	D₄×Q₈×C₁₃	C₂²	1	4	yes	complemented
71	D₄×Q₈×C₁₃	C₂²	1	4	yes	complemented
72	D₄×Q₈×C₁₃	C₂²	1	4	yes	complemented
73	D₄×Q₈×C₁₃	C₂²	1	4	yes	complemented
74	C₁₃×#548	C₂²	1	4	yes	complemented
75	C₁₃×#548	C₂²	1	4	yes	complemented
76	C₁₃×#548	C₂²	1	4	yes	complemented
77	C₁₃×#547	C₂²	1	4	yes	—
78	C₁₃×#547	C₂²	1	4	yes	complemented
79	C₁₃×#547	C₂²	1	8	yes	complemented
80	C₁₃×#547	C₂²	1	8	yes	complemented
81	C₁₃×#547	C₂²	1	8	yes	complemented
82	C₁₃×#547	C₂²	1	8	yes	complemented
83	C₁₃×#547	C₂²	1	8	yes	complemented
84	C₁₃×#547	C₂²	1	4	yes	complemented
85	C₁₃×#547	C₂²	1	2	yes	complemented
86	C₁₃×#546	C₂²	1	4	yes	—
87	C₁₃×#546	C₂²	1	8	yes	—
88	C₁₃×#546	C₂²	1	4	yes	complemented
89	C₁₃×#546	C₂²	1	8	yes	complemented
90	C₁₃×#546	C₂²	1	8	yes	complemented
91	C₁₃×#546	C₂²	1	8	yes	complemented
92	C₁₃×#546	C₂²	1	4	yes	complemented
93	C₁₃×#544	C₂²	1	8	yes	complemented
94	C₁₃×#544	C₂²	1	8	yes	complemented
95	C₁₃×#543	C₂²	1	4	yes	complemented
96	C₁₃×#542	C₂²	1	4	yes	complemented
97	C₁₃×#542	C₂²	1	8	yes	complemented
98	C₁₃×#542	C₂²	1	8	yes	complemented
99	C₁₃×#542	C₂²	1	8	yes	complemented
100	C₁₃×#542	C₂²	1	8	yes	complemented
101	C₁₃×#541	C₂²	1	4	yes	complemented
102	C₁₃×#541	C₂²	1	4	yes	complemented
103	C₁₃×#540	C₂²	1	8	yes	complemented
104	C₁₃×#539	C₂²	1	8	yes	complemented
105	C₁₃×#539	C₂²	1	8	yes	complemented
106	C₁₃×#539	C₂²	1	8	yes	complemented
107	C₁₃×#539	C₂²	1	8	yes	complemented
108	C₁₃×#539	C₂²	1	8	yes	complemented
109	C₁₃×#539	C₂²	1	8	yes	complemented
110	C₁₃×#538	C₂²	1	8	yes	complemented
111	C₁₃×#538	C₂²	1	8	yes	complemented
112	C₁₃×#538	C₂²	1	8	yes	complemented
113	C₁₃×#538	C₂²	1	8	yes	complemented
114	C₁₃×#538	C₂²	1	4	yes	complemented
115	C₁₃×#537	C₂²	1	4	yes	complemented
116	C₁₃×#537	C₂²	1	8	yes	complemented
117	C₁₃×#536	C₂²	1	1	yes	characteristic
118	C₁₃×#536	C₂²	1	2	yes	—
119	C₁₃×#536	C₂²	1	4	yes	complemented
120	C₁₃×#536	C₂²	1	8	yes	complemented
121	C₁₃×#536	C₂²	1	2	yes	complemented
122	C₁₃×#536	C₂²	1	2	yes	complemented
123	C₁₃×#536	C₂²	1	4	yes	complemented
124	C₁₃×#536	C₂²	1	2	yes	complemented
125	C₁₃×#536	C₂²	1	2	yes	complemented
126	C₁₃×#536	C₂²	1	4	yes	complemented
127	C₁₃×#535	C₂²	1	2	yes	—
128	C₁₃×#535	C₂²	1	1	yes	characteristic, complemented
129	C₁₃×#534	C₂²	1	4	yes	—
130	C₁₃×#534	C₂²	1	4	yes	complemented
131	C₁₃×#533	C₂²	1	2	yes	complemented
132	C₁₃×#532	C₂²	1	1	yes	characteristic
133	C₁₃×#532	C₂²	1	2	yes	complemented
134	C₁₃×#532	C₂²	1	2	yes	complemented
135	C₁₃×#532	C₂²	1	4	yes	complemented
136	C₂×C₁₃×C₄⋊Q₈	C₂²	1	4	yes	complemented
137	C₂×C₁₃×C₄⋊Q₈	C₂²	1	2	yes	complemented
138	C₁₃×#529	C₂²	1	4	yes	complemented
139	C₁₃×#529	C₂²	1	8	yes	complemented
140	C₁₃×#529	C₂²	1	4	yes	complemented
141	C₁₃×#529	C₂²	1	2	yes	complemented
142	C₁₃×#529	C₂²	1	4	yes	complemented
143	C₂×C₁₃×#126	C₂²	1	8	yes	complemented
144	C₂×C₁₃×#125	C₂²	1	4	yes	complemented
145	C₂×C₁₃×#124	C₂²	1	2	yes	—
146	C₂×C₁₃×#124	C₂²	1	1	yes	characteristic, complemented
147	C₁₃×#525	C₂²	1	2	yes	—
148	C₁₃×#525	C₂²	1	4	yes	complemented
149	C₁₃×#525	C₂²	1	8	yes	complemented
150	C₁₃×#525	C₂²	1	2	yes	complemented
151	C₂×C₁₃×#123	C₂²	1	4	yes	—
152	C₂×C₁₃×#123	C₂²	1	4	yes	complemented
153	C₂×C₁₃×C₂²⋊Q₈	C₂²	1	8	yes	complemented
154	C₂×C₁₃×C₂²⋊Q₈	C₂²	1	4	yes	complemented
155	C₁₃×#520	C₂²	1	4	yes	complemented
156	C₁₃×#518	C₂²	1	2	yes	complemented
157	C₄×C₁₃×#41	C₂²	1	2	yes	complemented
158	C₄×C₁₃×#41	C₂²	1	1	yes	characteristic, complemented
159	C₁₃×2₋¹⁺⁴	—	4	8	no	—
160	C₁₃×2₋¹⁺⁴	—	4	4	no	—
161	C₁₃×H(5,𝔽₂)	—	4	4	no	—
162	C₂×C₁₃×#41	—	4	8	no	—
163	C₂×C₁₃×#41	C₂³	1	2	yes	—
164	C₂×C₁₃×#41	C₂³	1	1	yes	characteristic
165	C₂×C₁₃×#41	C₂³	1	4	yes	—
166	C₂×C₁₃×#41	C₂³	1	1	yes	characteristic
167	C₂×C₁₃×#41	C₂³	1	2	yes	—
168	C₂×C₁₃×#41	C₂³	1	2	yes	—
169	C₂×C₁₃×#41	C₂³	1	8	yes	—
170	C₂×C₁₃×#41	C₂³	1	1	yes	characteristic
171	C₂×C₁₃×#41	C₂³	1	2	yes	—
172	C₂×C₁₃×#41	C₂³	1	4	yes	—
173	C₂×C₁₃×#41	C₂³	1	4	yes	—
174	C₂×C₁₃×#41	C₂³	1	2	yes	—
175	C₂×C₁₃×#41	C₂³	1	8	yes	—
176	C₂×C₁₃×#41	C₂³	1	4	yes	—
177	C₂²×Q₈×C₁₃	C₂³	1	4	yes	—
178	C₂²×Q₈×C₁₃	C₂³	1	4	yes	—
179	C₂²×Q₈×C₁₃	C₂³	1	2	yes	—
180	C₂²×Q₈×C₁₃	C₂³	1	1	yes	characteristic
181	C₂²×Q₈×C₁₃	C₂³	1	2	yes	—
182	C₂²×Q₈×C₁₃	C₂³	1	2	yes	—
183	C₂²×Q₈×C₁₃	C₂³	1	2	yes	—
184	C₂²×D₄×C₁₃	C₂³	1	2	yes	—
185	C₂²×D₄×C₁₃	C₂³	1	2	yes	—
186	C₂²×D₄×C₁₃	C₂³	1	4	yes	—
187	C₂²×D₄×C₁₃	C₂³	1	1	yes	characteristic
188	C₂²×D₄×C₁₃	C₂³	1	4	yes	—
189	C₂³×C₄×C₁₃	C₂³	1	4	yes	—
190	C₂³×C₄×C₁₃	C₂³	1	2	yes	—
191	C₁₃×C₄⋊Q₈	C₂³	1	2	yes	—
192	C₁₃×C₄⋊Q₈	C₂³	1	4	yes	—
193	C₁₃×C₄⋊Q₈	C₂³	1	4	yes	—
194	C₁₃×C₄⋊Q₈	C₂³	1	4	yes	—
195	C₁₃×C₄⋊Q₈	C₂³	1	4	yes	—
196	C₁₃×C₄⋊Q₈	C₂³	1	4	yes	—
197	C₁₃×C₄⋊Q₈	C₂³	1	4	yes	—
198	C₁₃×C₄⋊Q₈	C₂³	1	8	yes	—
199	C₁₃×C₄⋊Q₈	C₂³	1	8	yes	—
200	C₁₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
201	C₁₃×C₄⋊Q₈	C₂³	1	2	yes	—
202	C₁₃×C₄⋊Q₈	C₂³	1	2	yes	—
203	C₁₃×C₄⋊Q₈	C₂³	1	2	yes	—
204	C₁₃×C₄⋊Q₈	C₂³	1	4	yes	—
205	C₁₃×C₄⋊Q₈	C₂³	1	8	yes	—
206	C₁₃×C₄⋊Q₈	C₂³	1	8	yes	—
207	C₁₃×#127	C₂³	1	1	yes	characteristic
208	C₁₃×#127	C₂³	1	2	yes	—
209	C₁₃×#127	C₂³	1	2	yes	—
210	C₁₃×#126	C₂³	1	4	yes	—
211	C₁₃×#126	C₂³	1	8	yes	—
212	C₁₃×#126	C₂³	1	8	yes	—
213	C₁₃×#126	C₂³	1	8	yes	—
214	C₁₃×#126	C₂³	1	8	yes	—
215	C₁₃×#126	C₂³	1	8	yes	—
216	C₁₃×#126	C₂³	1	8	yes	—
217	C₁₃×#126	C₂³	1	8	yes	—
218	C₁₃×#126	C₂³	1	4	yes	—
219	C₁₃×#126	C₂³	1	8	yes	—
220	C₁₃×#126	C₂³	1	4	yes	—
221	C₁₃×#126	C₂³	1	8	yes	—
222	C₁₃×#126	C₂³	1	8	yes	—
223	C₁₃×#126	C₂³	1	8	yes	—
224	C₁₃×#126	C₂³	1	8	yes	—
225	C₁₃×#126	C₂³	1	8	yes	—
226	C₁₃×#125	C₂³	1	2	yes	—
227	C₁₃×#125	C₂³	1	4	yes	—
228	C₁₃×#125	C₂³	1	4	yes	—
229	C₁₃×#125	C₂³	1	4	yes	—
230	C₁₃×#125	C₂³	1	8	yes	—
231	C₁₃×#125	C₂³	1	8	yes	—
232	C₁₃×#125	C₂³	1	8	yes	—
233	C₁₃×#125	C₂³	1	4	yes	—
234	C₁₃×#125	C₂³	1	4	yes	—
235	C₁₃×#125	C₂³	1	8	yes	—
236	C₁₃×#125	C₂³	1	8	yes	—
237	C₁₃×#125	C₂³	1	8	yes	—
238	C₁₃×#125	C₂³	1	8	yes	—
239	C₁₃×#124	C₂³	1	1	yes	characteristic
240	C₁₃×#124	C₂³	1	2	yes	—
241	C₁₃×#124	C₂³	1	2	yes	—
242	C₁₃×#124	C₂³	1	2	yes	—
243	C₁₃×#124	C₂³	1	8	yes	—
244	C₁₃×#124	C₂³	1	2	yes	—
245	C₁₃×#124	C₂³	1	4	yes	—
246	C₁₃×#124	C₂³	1	2	yes	—
247	C₁₃×#124	C₂³	1	4	yes	—
248	C₁₃×#124	C₂³	1	8	yes	—
249	C₁₃×#124	C₂³	1	4	yes	—
250	C₁₃×#124	C₂³	1	1	yes	characteristic
251	C₁₃×#124	C₂³	1	4	yes	—
252	C₁₃×#124	C₂³	1	4	yes	—
253	C₁₃×#124	C₂³	1	2	yes	—
254	C₁₃×#124	C₂³	1	2	yes	—
255	C₁₃×#124	C₂³	1	4	yes	—
256	C₁₃×#124	C₂³	1	8	yes	—
257	C₁₃×#124	C₂³	1	8	yes	—
258	C₁₃×#124	C₂³	1	8	yes	—
259	C₁₃×#123	C₂³	1	2	yes	—
260	C₁₃×#123	C₂³	1	4	yes	—
261	C₁₃×#123	C₂³	1	4	yes	—
262	C₁₃×#123	C₂³	1	4	yes	—
263	C₁₃×#123	C₂³	1	8	yes	—
264	C₁₃×#123	C₂³	1	8	yes	—
265	C₁₃×#123	C₂³	1	2	yes	—
266	C₁₃×#123	C₂³	1	4	yes	—
267	C₁₃×#123	C₂³	1	4	yes	—
268	C₁₃×#123	C₂³	1	8	yes	—
269	C₁₃×#123	C₂³	1	8	yes	—
270	C₁₃×#123	C₂³	1	8	yes	—
271	C₁₃×#123	C₂³	1	8	yes	—
272	C₁₃×#123	C₂³	1	4	yes	—
273	C₁₃×#123	C₂³	1	4	yes	—
274	C₁₃×#123	C₂³	1	8	yes	—
275	C₁₃×#123	C₂³	1	8	yes	—
276	C₁₃×#123	C₂³	1	8	yes	—
277	C₁₃×#123	C₂³	1	8	yes	—
278	C₁₃×#123	C₂³	1	4	yes	—
279	C₁₃×#123	C₂³	1	4	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	8	yes	—
284	C₁₃×#123	C₂³	1	8	yes	—
285	C₁₃×#123	C₂³	1	8	yes	—
286	C₁₃×#123	C₂³	1	4	yes	—
287	C₁₃×#123	C₂³	1	4	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×C₂²⋊Q₈	C₂³	1	4	yes	—
293	C₁₃×C₂²⋊Q₈	C₂³	1	8	yes	—
294	C₁₃×C₂²⋊Q₈	C₂³	1	4	yes	—
295	C₁₃×C₂²⋊Q₈	C₂³	1	4	yes	—
296	C₁₃×C₂²⋊Q₈	C₂³	1	8	yes	—
297	C₁₃×C₂²⋊Q₈	C₂³	1	8	yes	—
298	C₁₃×C₂²⋊Q₈	C₂³	1	8	yes	—
299	C₁₃×C₂²⋊Q₈	C₂³	1	4	yes	—
300	C₁₃×C₂²⋊Q₈	C₂³	1	4	yes	—
301	C₁₃×C₂²⋊Q₈	C₂³	1	8	yes	—
302	C₁₃×C₂²⋊Q₈	C₂³	1	8	yes	—
303	C₁₃×C₂²⋊Q₈	C₂³	1	8	yes	—
304	C₁₃×C₂²⋊Q₈	C₂³	1	8	yes	—
305	C₁₃×C₂²⋊Q₈	C₂³	1	4	yes	—
306	C₁₃×C₂²⋊Q₈	C₂³	1	8	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	8	yes	—
311	C₁₃×C₂²⋊Q₈	C₂³	1	4	yes	—
312	C₁₃×C₂²⋊Q₈	C₂³	1	4	yes	—
313	C₁₃×C₂²⋊Q₈	C₂³	1	2	yes	—
314	C₁₃×C₂²⋊Q₈	C₂³	1	4	yes	—
315	C₁₃×C₂²⋊Q₈	C₂³	1	4	yes	—
316	C₁₃×C₂²⋊Q₈	C₂³	1	8	yes	—
317	C₁₃×C₂²⋊Q₈	C₂³	1	8	yes	—
318	C₁₃×C₂²⋊Q₈	C₂³	1	8	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×#121	C₂³	1	4	yes	—
328	C₁₃×#121	C₂³	1	4	yes	—
329	C₁₃×#121	C₂³	1	8	yes	—
330	C₁₃×#121	C₂³	1	4	yes	—
331	C₁₃×#121	C₂³	1	4	yes	—
332	C₁₃×#121	C₂³	1	8	yes	—
333	C₁₃×#121	C₂³	1	4	yes	—
334	C₁₃×#121	C₂³	1	4	yes	—
335	C₁₃×#121	C₂³	1	4	yes	—
336	C₁₃×#121	C₂³	1	2	yes	—
337	C₁₃×#121	C₂³	1	4	yes	—
338	C₁₃×#121	C₂³	1	8	yes	—
339	C₁₃×#121	C₂³	1	8	yes	—
340	C₁₃×#121	C₂³	1	8	yes	—
341	C₁₃×#121	C₂³	1	4	yes	—
342	C₁₃×#121	C₂³	1	4	yes	—
343	C₁₃×#121	C₂³	1	8	yes	—
344	C₁₃×#121	C₂³	1	8	yes	—
345	C₁₃×#121	C₂³	1	8	yes	—
346	C₁₃×#121	C₂³	1	8	yes	—
347	C₁₃×#121	C₂³	1	8	yes	—
348	C₁₃×#121	C₂³	1	8	yes	—
349	C₁₃×#121	C₂³	1	8	yes	—
350	C₁₃×#121	C₂³	1	8	yes	—
351	C₁₃×#120	C₂³	1	2	yes	—
352	C₁₃×#120	C₂³	1	2	yes	—
353	C₁₃×#120	C₂³	1	4	yes	—
354	C₁₃×#120	C₂³	1	8	yes	—
355	C₁₃×#120	C₂³	1	8	yes	—
356	C₁₃×#120	C₂³	1	4	yes	—
357	C₁₃×#120	C₂³	1	4	yes	—
358	C₁₃×#120	C₂³	1	8	yes	—
359	C₁₃×#120	C₂³	1	4	yes	—
360	C₄×Q₈×C₁₃	C₂³	1	2	yes	—
361	C₄×Q₈×C₁₃	C₂³	1	4	yes	—
362	C₄×Q₈×C₁₃	C₂³	1	4	yes	—
363	C₄×Q₈×C₁₃	C₂³	1	4	yes	—
364	C₄×Q₈×C₁₃	C₂³	1	2	yes	—
365	C₄×Q₈×C₁₃	C₂³	1	4	yes	—
366	C₄×Q₈×C₁₃	C₂³	1	8	yes	—
367	C₄×Q₈×C₁₃	C₂³	1	4	yes	—
368	C₄×D₄×C₁₃	C₂³	1	4	yes	—
369	C₄×D₄×C₁₃	C₂³	1	2	yes	—
370	C₄×D₄×C₁₃	C₂³	1	8	yes	—
371	C₄×D₄×C₁₃	C₂³	1	4	yes	—
372	C₄×D₄×C₁₃	C₂³	1	8	yes	—
373	C₄×D₄×C₁₃	C₂³	1	4	yes	—
374	C₄×D₄×C₁₃	C₂³	1	8	yes	—
375	C₄×D₄×C₁₃	C₂³	1	8	yes	—
376	C₄×D₄×C₁₃	C₂³	1	4	yes	—
377	C₄×D₄×C₁₃	C₂³	1	4	yes	—
378	C₄×D₄×C₁₃	C₂³	1	2	yes	—
379	C₄×D₄×C₁₃	C₂³	1	4	yes	—
380	C₄×D₄×C₁₃	C₂³	1	4	yes	—
381	C₄×D₄×C₁₃	C₂³	1	8	yes	—
382	C₄×D₄×C₁₃	C₂³	1	8	yes	—
383	C₄×D₄×C₁₃	C₂³	1	8	yes	—
384	C₄×D₄×C₁₃	C₂³	1	8	yes	—
385	C₄×D₄×C₁₃	C₂³	1	8	yes	—
386	C₄×D₄×C₁₃	C₂³	1	8	yes	—
387	C₄×D₄×C₁₃	C₂³	1	4	yes	—
388	C₄×D₄×C₁₃	C₂³	1	8	yes	—
389	C₄×D₄×C₁₃	C₂³	1	8	yes	—
390	C₄×D₄×C₁₃	C₂³	1	8	yes	—
391	C₄×D₄×C₁₃	C₂³	1	8	yes	—
392	C₁₃×#117	C₂³	1	2	yes	—
393	C₁₃×#117	C₂³	1	1	yes	characteristic
394	C₁₃×#117	C₂³	1	4	yes	—
395	C₁₃×#117	C₂³	1	2	yes	—
396	C₁₃×#117	C₂³	1	2	yes	—
397	C₁₃×#117	C₂³	1	2	yes	—
398	C₁₃×#117	C₂³	1	4	yes	—
399	C₁₃×#117	C₂³	1	8	yes	—
400	C₁₃×#117	C₂³	1	8	yes	—
401	C₁₃×#117	C₂³	1	8	yes	—
402	C₁₃×#117	C₂³	1	8	yes	—
403	C₁₃×#117	C₂³	1	8	yes	—
404	C₁₃×#117	C₂³	1	4	yes	—
405	C₂×C₁₃×C₄⋊C₄	C₂³	1	8	yes	—
406	C₂×C₁₃×C₄⋊C₄	C₂³	1	4	yes	—
407	C₂×C₁₃×C₄⋊C₄	C₂³	1	4	yes	—
408	C₂×C₁₃×C₄⋊C₄	C₂³	1	8	yes	—
409	C₂×C₁₃×C₄⋊C₄	C₂³	1	8	yes	—
410	C₂×C₁₃×C₄⋊C₄	C₂³	1	8	yes	—
411	C₂×C₁₃×C₄⋊C₄	C₂³	1	8	yes	—
412	C₂×C₁₃×C₄⋊C₄	C₂³	1	4	yes	—
413	C₂×C₁₃×C₄⋊C₄	C₂³	1	8	yes	—
414	C₂×C₁₃×C₂²⋊C₄	C₂³	1	4	yes	—
415	C₂×C₁₃×C₂²⋊C₄	C₂³	1	4	yes	—
416	C₂×C₁₃×C₂²⋊C₄	C₂³	1	8	yes	—
417	C₂×C₁₃×C₂²⋊C₄	C₂³	1	8	yes	—
418	C₂×C₁₃×C₂²⋊C₄	C₂³	1	8	yes	—
419	C₂×C₁₃×C₂²⋊C₄	C₂³	1	8	yes	—
420	C₂×C₁₃×C₂²⋊C₄	C₂³	1	4	yes	—
421	C₂×C₄²×C₁₃	C₂³	1	2	yes	—
422	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
423	C₂×C₄²×C₁₃	C₂³	1	4	yes	—
424	C₂×C₄²×C₁₃	C₂³	1	2	yes	—
425	#63063	C₁₃	1	1	yes	maximal, characteristic, direct product factor, Sylow
426	C₂⁴×C₁₃	C₂⁴	1	4	yes	—
427	C₂⁴×C₁₃	C₂⁴	1	2	yes	—
428	C₂⁴×C₁₃	C₂⁴	1	2	yes	—
429	C₁₃×#41	—	2	16	no	—
430	C₁₃×#41	—	2	4	no	—
431	C₁₃×#41	—	2	8	no	—
432	C₁₃×#41	—	4	2	no	—
433	C₁₃×#41	—	4	4	no	—
434	C₁₃×#41	—	4	2	no	—
435	C₁₃×#41	—	4	16	no	—
436	C₁₃×#41	—	4	4	no	—
437	C₁₃×#41	—	4	16	no	—
438	C₁₃×#41	—	4	4	no	—
439	C₁₃×#41	—	4	8	no	—
440	C₁₃×#41	—	4	8	no	—
441	C₁₃×#41	—	4	8	no	—
442	C₁₃×#41	—	4	4	no	—
443	C₂×Q₈×C₁₃	—	4	8	no	—
444	C₂×Q₈×C₁₃	—	4	4	no	—
445	C₂×Q₈×C₁₃	—	4	4	no	—
446	C₂×Q₈×C₁₃	—	4	8	no	—
447	C₂×Q₈×C₁₃	—	4	2	no	—
448	C₂×Q₈×C₁₃	—	4	4	no	—
449	C₂×Q₈×C₁₃	—	4	4	no	—
450	C₂×Q₈×C₁₃	C₂⁴	1	2	yes	—
451	C₂×Q₈×C₁₃	C₂⁴	1	4	yes	—
452	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
453	C₂×Q₈×C₁₃	C₂⁴	1	2	yes	—
454	C₂×Q₈×C₁₃	C₂⁴	1	4	yes	—
455	C₂×Q₈×C₁₃	C₂⁴	1	2	yes	—
456	C₂×Q₈×C₁₃	C₂⁴	1	8	yes	—
457	C₂×Q₈×C₁₃	C₂⁴	1	4	yes	—
458	C₂×Q₈×C₁₃	C₂⁴	1	4	yes	—
459	C₂×Q₈×C₁₃	C₂⁴	1	4	yes	—
460	C₂×Q₈×C₁₃	C₂⁴	1	2	yes	—
461	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
462	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
463	C₂×D₄×C₁₃	—	2	8	no	—
464	C₂×D₄×C₁₃	—	4	2	no	—
465	C₂×D₄×C₁₃	—	4	4	no	—
466	C₂×D₄×C₁₃	—	4	8	no	—
467	C₂×D₄×C₁₃	—	4	8	no	—
468	C₂×D₄×C₁₃	C₂⁴	1	4	yes	—
469	C₂×D₄×C₁₃	C₂⁴	1	8	yes	—
470	C₂×D₄×C₁₃	C₂⁴	1	4	yes	—
471	C₂×D₄×C₁₃	C₂⁴	1	2	yes	—
472	C₂×D₄×C₁₃	C₂⁴	1	2	yes	—
473	C₂×D₄×C₁₃	C₂⁴	1	4	yes	—
474	C₂×D₄×C₁₃	C₂⁴	1	8	yes	—
475	C₂×D₄×C₁₃	C₂⁴	1	4	yes	—
476	C₂×D₄×C₁₃	C₂⁴	1	4	yes	—
477	C₂×D₄×C₁₃	C₂⁴	1	2	yes	—
478	C₂×D₄×C₁₃	C₂⁴	1	8	yes	—
479	C₂×D₄×C₁₃	C₂⁴	1	4	yes	—
480	C₂×D₄×C₁₃	C₂⁴	1	2	yes	—
481	C₂×D₄×C₁₃	C₂⁴	1	2	yes	—
482	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
483	C₂×D₄×C₁₃	C₂⁴	1	4	yes	—
484	C₂×D₄×C₁₃	C₂⁴	1	8	yes	—
485	C₂×D₄×C₁₃	C₂⁴	1	2	yes	—
486	C₂×D₄×C₁₃	C₂⁴	1	4	yes	—
487	C₂×D₄×C₁₃	C₂⁴	1	2	yes	—
488	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
489	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
490	C₂²×C₄×C₁₃	—	4	4	no	—
491	C₂²×C₄×C₁₃	—	4	8	no	—
492	C₂²×C₄×C₁₃	C₂⁴	1	4	yes	—
493	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
494	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
495	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
496	C₂²×C₄×C₁₃	C₂⁴	1	8	yes	—
497	C₂²×C₄×C₁₃	C₂⁴	1	4	yes	—
498	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
499	C₂²×C₄×C₁₃	C₂⁴	1	4	yes	—
500	C₂²×C₄×C₁₃	C₂⁴	1	8	yes	—
501	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
502	C₂²×C₄×C₁₃	C₂⁴	1	4	yes	—
503	C₂²×C₄×C₁₃	C₂⁴	1	8	yes	—
504	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
505	C₂²×C₄×C₁₃	C₂⁴	1	8	yes	—
506	C₂²×C₄×C₁₃	C₂⁴	1	8	yes	—
507	C₂²×C₄×C₁₃	C₂⁴	1	8	yes	—
508	C₂²×C₄×C₁₃	C₂⁴	1	4	yes	—
509	C₂²×C₄×C₁₃	C₂⁴	1	4	yes	—
510	C₂²×C₄×C₁₃	C₂⁴	1	4	yes	—
511	C₂²×C₄×C₁₃	C₂⁴	1	4	yes	—
512	C₂²×C₄×C₁₃	C₂⁴	1	4	yes	—
513	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
514	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
515	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
516	C₁₃×C₄⋊C₄	C₂⁴	1	8	yes	—
517	C₁₃×C₄⋊C₄	C₂⁴	1	8	yes	—
518	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
519	C₁₃×C₄⋊C₄	C₂⁴	1	8	yes	—
520	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
521	C₁₃×C₄⋊C₄	C₂⁴	1	8	yes	—
522	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
523	C₁₃×C₄⋊C₄	C₂⁴	1	8	yes	—
524	C₁₃×C₄⋊C₄	C₂⁴	1	8	yes	—
525	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
526	C₁₃×C₄⋊C₄	C₂⁴	1	8	yes	—
527	C₁₃×C₄⋊C₄	C₂⁴	1	8	yes	—
528	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
529	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
530	C₁₃×C₄⋊C₄	C₂⁴	1	8	yes	—
531	C₁₃×C₄⋊C₄	C₂⁴	1	8	yes	—
532	C₁₃×C₄⋊C₄	C₂⁴	1	8	yes	—
533	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
534	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
535	C₁₃×C₄⋊C₄	C₂⁴	1	8	yes	—
536	C₁₃×C₄⋊C₄	C₂⁴	1	8	yes	—
537	C₁₃×C₄⋊C₄	C₂⁴	1	8	yes	—
538	C₁₃×C₄⋊C₄	C₂⁴	1	8	yes	—
539	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
540	C₁₃×C₄⋊C₄	C₂⁴	1	8	yes	—
541	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
542	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
543	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
544	C₁₃×C₄⋊C₄	C₂⁴	1	8	yes	—
545	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
546	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
547	C₁₃×C₂²⋊C₄	C₂⁴	1	2	yes	—
548	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
549	C₁₃×C₂²⋊C₄	C₂⁴	1	2	yes	—
550	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
551	C₁₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
552	C₁₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
553	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
554	C₁₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
555	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
556	C₁₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
557	C₁₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
558	C₁₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
559	C₁₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
560	C₁₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
561	C₁₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
562	C₁₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
563	C₁₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
564	C₁₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
565	C₁₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
566	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
567	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
568	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
569	C₁₃×C₂²⋊C₄	C₂⁴	1	2	yes	—
570	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
571	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
572	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
573	C₁₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
574	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
575	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
576	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
577	C₁₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
578	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
579	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
580	C₄²×C₁₃	C₂⁴	1	2	yes	—
581	C₄²×C₁₃	C₂⁴	1	2	yes	—
582	C₄²×C₁₃	C₂⁴	1	2	yes	—
583	C₄²×C₁₃	C₂⁴	1	4	yes	—
584	C₄²×C₁₃	C₂⁴	1	2	yes	—
585	C₄²×C₁₃	C₂⁴	1	8	yes	—
586	C₄²×C₁₃	C₂⁴	1	4	yes	—
587	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
588	C₄²×C₁₃	C₂⁴	1	4	yes	—
589	C₄²×C₁₃	C₂⁴	1	4	yes	—
590	C₄²×C₁₃	C₂⁴	1	8	yes	—
591	C₄²×C₁₃	C₂⁴	1	8	yes	—
592	#3561	C₂×C₁₃	1	2	yes	complemented
593	#3560	C₂×C₁₃	1	8	yes	complemented
594	#3559	C₂×C₁₃	1	4	yes	complemented
595	#3552	C₂×C₁₃	1	4	yes	complemented
596	#3551	C₂×C₁₃	1	2	yes	complemented
597	#3550	C₂×C₁₃	1	1	yes	characteristic, complemented
598	#3545	C₂×C₁₃	1	2	yes	complemented
599	#3544	C₂×C₁₃	1	4	yes	complemented
600	#3541	C₂×C₁₃	1	4	yes	complemented
601	#3538	C₂×C₁₃	1	2	yes	complemented
602	#3535	C₂×C₁₃	1	8	yes	complemented
603	#3533	C₂×C₁₃	1	4	yes	complemented
604	#3529	C₂×C₁₃	1	1	yes	characteristic, complemented
605	C₂×#563	C₂×C₁₃	1	2	yes	complemented
606	#3521	C₂×C₁₃	1	4	yes	complemented
607	#3515	C₂×C₁₃	1	2	yes	complemented
608	#3500	C₂×C₁₃	1	1	yes	characteristic, complemented
609	#3499	C₂×C₁₃	1	2	yes	complemented
610	#3489	C₂×C₁₃	1	4	yes	complemented
611	#3485	C₂×C₁₃	1	2	yes	complemented
612	C₂³×C₁₃	—	2	8	no	—
613	C₂³×C₁₃	—	4	2	no	—
614	C₂³×C₁₃	—	4	8	no	—
615	C₂³×C₁₃	—	4	4	no	—
616	C₂³×C₁₃	—	4	2	no	—
617	C₂³×C₁₃	—	4	4	no	—
618	C₂³×C₁₃	C₂⁵	1	2	yes	—
619	C₂³×C₁₃	C₂⁵	1	1	yes	characteristic
620	C₂³×C₁₃	C₂⁵	1	4	yes	—
621	C₂³×C₁₃	C₂⁵	1	4	yes	—
622	C₂³×C₁₃	C₂⁵	1	2	yes	—
623	C₂³×C₁₃	C₂⁵	1	2	yes	—
624	Q₈×C₁₃	—	2	4	no	—
625	Q₈×C₁₃	—	2	8	no	—
626	Q₈×C₁₃	—	2	2	no	—
627	Q₈×C₁₃	—	4	2	no	—
628	Q₈×C₁₃	—	4	8	no	—
629	Q₈×C₁₃	—	4	1	no	—
630	Q₈×C₁₃	—	4	2	no	—
631	Q₈×C₁₃	—	4	4	no	—
632	Q₈×C₁₃	—	4	4	no	—
633	Q₈×C₁₃	—	4	4	no	—
634	Q₈×C₁₃	—	4	2	no	—
635	Q₈×C₁₃	—	4	4	no	—
636	Q₈×C₁₃	—	4	1	no	—
637	D₄×C₁₃	—	2	8	no	—
638	D₄×C₁₃	—	2	4	no	—
639	D₄×C₁₃	—	2	16	no	—
640	D₄×C₁₃	—	2	8	no	—
641	D₄×C₁₃	—	2	4	no	—
642	D₄×C₁₃	—	4	1	no	—
643	D₄×C₁₃	—	4	2	no	—
644	D₄×C₁₃	—	4	2	no	—
645	D₄×C₁₃	—	4	4	no	—
646	D₄×C₁₃	—	4	8	no	—
647	D₄×C₁₃	—	4	4	no	—
648	D₄×C₁₃	—	4	8	no	—
649	D₄×C₁₃	—	4	4	no	—
650	D₄×C₁₃	—	4	4	no	—
651	D₄×C₁₃	—	4	8	no	—
652	D₄×C₁₃	—	4	2	no	—
653	D₄×C₁₃	—	4	4	no	—
654	D₄×C₁₃	—	4	4	no	—
655	D₄×C₁₃	—	4	1	no	—
656	D₄×C₁₃	—	4	2	no	—
657	D₄×C₁₃	—	4	2	no	—
658	D₄×C₁₃	H(5,𝔽₂)	1	4	yes	—
659	C₂×C₄×C₁₃	—	2	16	no	—
660	C₂×C₄×C₁₃	—	2	4	no	—
661	C₂×C₄×C₁₃	—	2	8	no	—
662	C₂×C₄×C₁₃	—	2	4	no	—
663	C₂×C₄×C₁₃	—	2	8	no	—
664	C₂×C₄×C₁₃	—	2	2	no	—
665	C₂×C₄×C₁₃	—	2	4	no	—
666	C₂×C₄×C₁₃	—	4	2	no	—
667	C₂×C₄×C₁₃	—	4	4	no	—
668	C₂×C₄×C₁₃	—	4	4	no	—
669	C₂×C₄×C₁₃	—	4	8	no	—
670	C₂×C₄×C₁₃	—	4	4	no	—
671	C₂×C₄×C₁₃	—	4	8	no	—
672	C₂×C₄×C₁₃	—	4	8	no	—
673	C₂×C₄×C₁₃	—	4	4	no	—
674	C₂×C₄×C₁₃	—	4	8	no	—
675	C₂×C₄×C₁₃	—	4	2	no	—
676	C₂×C₄×C₁₃	—	4	4	no	—
677	C₂×C₄×C₁₃	—	4	4	no	—
678	C₂×C₄×C₁₃	—	4	4	no	—
679	C₂×C₄×C₁₃	—	4	8	no	—
680	C₂×C₄×C₁₃	—	4	2	no	—
681	C₂×C₄×C₁₃	C₂⁵	1	2	yes	—
682	C₂×C₄×C₁₃	C₂⁵	1	2	yes	—
683	C₂×C₄×C₁₃	C₂⁵	1	4	yes	—
684	C₂×C₄×C₁₃	C₂⁵	1	8	yes	—
685	C₂×C₄×C₁₃	C₂⁵	1	4	yes	—
686	C₂×C₄×C₁₃	C₂⁵	1	4	yes	—
687	C₂×C₄×C₁₃	C₂⁵	1	2	yes	—
688	C₂×C₄×C₁₃	C₂⁵	1	1	yes	characteristic
689	C₂×C₄×C₁₃	C₂⁵	1	4	yes	—
690	C₂×C₄×C₁₃	C₂⁵	1	8	yes	—
691	C₂×C₄×C₁₃	C₂⁵	1	2	yes	—
692	C₂×C₄×C₁₃	C₂⁵	1	2	yes	—
693	C₂×C₄×C₁₃	C₂⁵	1	4	yes	—
694	C₂×C₄×C₁₃	C₂⁵	1	1	yes	characteristic
695	C₂×2₋¹⁺⁴	C₂²×C₁₃	1	2	yes	complemented
696	C₂×2₋¹⁺⁴	C₂²×C₁₃	1	1	yes	characteristic, complemented
697	C₂×H(5,𝔽₂)	C₂²×C₁₃	1	1	yes	characteristic
698	C₂²×#41	C₂²×C₁₃	1	2	yes	complemented
699	#563	C₂²×C₁₃	1	1	yes	characteristic, complemented
700	#563	C₂²×C₁₃	1	4	yes	complemented
701	#563	C₂²×C₁₃	1	8	yes	complemented
702	#563	C₂²×C₁₃	1	4	yes	complemented
703	#563	C₂²×C₁₃	1	2	yes	complemented
704	#563	C₂²×C₁₃	1	8	yes	complemented
705	#563	C₂²×C₁₃	1	4	yes	complemented
706	#563	C₂²×C₁₃	1	2	yes	complemented
707	#563	C₂²×C₁₃	1	4	yes	complemented
708	#563	C₂²×C₁₃	1	8	yes	complemented
709	#563	C₂²×C₁₃	1	2	yes	complemented
710	#562	C₂²×C₁₃	1	4	yes	complemented
711	#562	C₂²×C₁₃	1	2	yes	complemented
712	#562	C₂²×C₁₃	1	8	yes	complemented
713	#562	C₂²×C₁₃	1	4	yes	complemented
714	H(3,𝔽₄)	C₂²×C₁₃	1	1	yes	characteristic, complemented
715	#560	C₂²×C₁₃	1	2	yes	complemented
716	#560	C₂²×C₁₃	1	4	yes	complemented
717	#560	C₂²×C₁₃	1	4	yes	complemented
718	#559	C₂²×C₁₃	1	2	yes	complemented
719	Q₈²	C₂²×C₁₃	1	2	yes	complemented
720	#557	C₂²×C₁₃	1	2	yes	complemented
721	#556	C₂²×C₁₃	1	4	yes	complemented
722	#556	C₂²×C₁₃	1	4	yes	complemented
723	#555	C₂²×C₁₃	1	4	yes	complemented
724	#554	C₂²×C₁₃	1	2	yes	complemented
725	#554	C₂²×C₁₃	1	2	yes	complemented
726	#554	C₂²×C₁₃	1	8	yes	complemented
727	#554	C₂²×C₁₃	1	8	yes	complemented
728	#553	C₂²×C₁₃	1	4	yes	complemented
729	#553	C₂²×C₁₃	1	4	yes	complemented
730	#553	C₂²×C₁₃	1	8	yes	complemented
731	#553	C₂²×C₁₃	1	8	yes	complemented
732	#553	C₂²×C₁₃	1	8	yes	complemented
733	#552	C₂²×C₁₃	1	8	yes	complemented
734	#552	C₂²×C₁₃	1	4	yes	complemented
735	#552	C₂²×C₁₃	1	4	yes	complemented
736	#552	C₂²×C₁₃	1	8	yes	complemented
737	#552	C₂²×C₁₃	1	4	yes	complemented
738	#551	C₂²×C₁₃	1	8	yes	complemented
739	#551	C₂²×C₁₃	1	8	yes	complemented
740	#551	C₂²×C₁₃	1	4	yes	complemented
741	#551	C₂²×C₁₃	1	4	yes	complemented
742	#551	C₂²×C₁₃	1	8	yes	complemented
743	#551	C₂²×C₁₃	1	4	yes	complemented
744	D₄×Q₈	C₂²×C₁₃	1	4	yes	complemented
745	D₄×Q₈	C₂²×C₁₃	1	4	yes	complemented
746	D₄×Q₈	C₂²×C₁₃	1	4	yes	complemented
747	D₄×Q₈	C₂²×C₁₃	1	4	yes	complemented
748	#548	C₂²×C₁₃	1	4	yes	complemented
749	#548	C₂²×C₁₃	1	4	yes	complemented
750	#548	C₂²×C₁₃	1	4	yes	complemented
751	#547	C₂²×C₁₃	1	4	yes	—
752	#547	C₂²×C₁₃	1	4	yes	complemented
753	#547	C₂²×C₁₃	1	8	yes	complemented
754	#547	C₂²×C₁₃	1	2	yes	complemented
755	#547	C₂²×C₁₃	1	4	yes	complemented
756	#547	C₂²×C₁₃	1	8	yes	complemented
757	#547	C₂²×C₁₃	1	8	yes	complemented
758	#547	C₂²×C₁₃	1	8	yes	complemented
759	#547	C₂²×C₁₃	1	8	yes	complemented
760	#546	C₂²×C₁₃	1	4	yes	—
761	#546	C₂²×C₁₃	1	8	yes	—
762	#546	C₂²×C₁₃	1	4	yes	complemented
763	#546	C₂²×C₁₃	1	4	yes	complemented
764	#546	C₂²×C₁₃	1	8	yes	complemented
765	#546	C₂²×C₁₃	1	8	yes	complemented
766	#546	C₂²×C₁₃	1	8	yes	complemented
767	#544	C₂²×C₁₃	1	8	yes	complemented
768	#544	C₂²×C₁₃	1	8	yes	complemented
769	#543	C₂²×C₁₃	1	4	yes	complemented
770	#542	C₂²×C₁₃	1	4	yes	complemented
771	#542	C₂²×C₁₃	1	8	yes	complemented
772	#542	C₂²×C₁₃	1	8	yes	complemented
773	#542	C₂²×C₁₃	1	8	yes	complemented
774	#542	C₂²×C₁₃	1	8	yes	complemented
775	#541	C₂²×C₁₃	1	4	yes	complemented
776	#541	C₂²×C₁₃	1	4	yes	complemented
777	#540	C₂²×C₁₃	1	8	yes	complemented
778	#539	C₂²×C₁₃	1	8	yes	complemented
779	#539	C₂²×C₁₃	1	8	yes	complemented
780	#539	C₂²×C₁₃	1	8	yes	complemented
781	#539	C₂²×C₁₃	1	8	yes	complemented
782	#539	C₂²×C₁₃	1	8	yes	complemented
783	#539	C₂²×C₁₃	1	8	yes	complemented
784	#538	C₂²×C₁₃	1	8	yes	complemented
785	#538	C₂²×C₁₃	1	8	yes	complemented
786	#538	C₂²×C₁₃	1	8	yes	complemented
787	#538	C₂²×C₁₃	1	8	yes	complemented
788	#538	C₂²×C₁₃	1	4	yes	complemented
789	#537	C₂²×C₁₃	1	4	yes	complemented
790	#537	C₂²×C₁₃	1	8	yes	complemented
791	#536	C₂²×C₁₃	1	2	yes	—
792	#536	C₂²×C₁₃	1	1	yes	characteristic
793	#536	C₂²×C₁₃	1	2	yes	complemented
794	#536	C₂²×C₁₃	1	8	yes	complemented
795	#536	C₂²×C₁₃	1	4	yes	complemented
796	#536	C₂²×C₁₃	1	4	yes	complemented
797	#536	C₂²×C₁₃	1	2	yes	complemented
798	#536	C₂²×C₁₃	1	4	yes	complemented
799	#536	C₂²×C₁₃	1	2	yes	complemented
800	#536	C₂²×C₁₃	1	2	yes	complemented
801	#535	C₂²×C₁₃	1	2	yes	—
802	#535	C₂²×C₁₃	1	1	yes	characteristic, complemented
803	#534	C₂²×C₁₃	1	4	yes	—
804	#534	C₂²×C₁₃	1	4	yes	complemented
805	#533	C₂²×C₁₃	1	2	yes	complemented
806	#532	C₂²×C₁₃	1	1	yes	characteristic
807	#532	C₂²×C₁₃	1	2	yes	complemented
808	#532	C₂²×C₁₃	1	4	yes	complemented
809	#532	C₂²×C₁₃	1	2	yes	complemented
810	C₂×C₄⋊Q₈	C₂²×C₁₃	1	4	yes	complemented
811	C₂×C₄⋊Q₈	C₂²×C₁₃	1	2	yes	complemented
812	#529	C₂²×C₁₃	1	2	yes	complemented
813	#529	C₂²×C₁₃	1	4	yes	complemented
814	#529	C₂²×C₁₃	1	4	yes	complemented
815	#529	C₂²×C₁₃	1	8	yes	complemented
816	#529	C₂²×C₁₃	1	4	yes	complemented
817	C₂×#126	C₂²×C₁₃	1	8	yes	complemented
818	C₂×#125	C₂²×C₁₃	1	4	yes	complemented
819	C₂×#124	C₂²×C₁₃	1	2	yes	—
820	C₂×#124	C₂²×C₁₃	1	1	yes	characteristic, complemented
821	#525	C₂²×C₁₃	1	2	yes	—
822	#525	C₂²×C₁₃	1	2	yes	complemented
823	#525	C₂²×C₁₃	1	4	yes	complemented
824	#525	C₂²×C₁₃	1	8	yes	complemented
825	C₂×#123	C₂²×C₁₃	1	4	yes	—
826	C₂×#123	C₂²×C₁₃	1	4	yes	complemented
827	C₂×C₂²⋊Q₈	C₂²×C₁₃	1	8	yes	complemented
828	C₂×C₂²⋊Q₈	C₂²×C₁₃	1	4	yes	complemented
829	#520	C₂²×C₁₃	1	4	yes	complemented
830	#518	C₂²×C₁₃	1	2	yes	complemented
831	C₄×#41	C₂²×C₁₃	1	2	yes	complemented
832	C₄×#41	C₂²×C₁₃	1	1	yes	characteristic, complemented
833	C₂²×C₁₃	—	2	4	no	—
834	C₂²×C₁₃	—	2	2	no	—
835	C₂²×C₁₃	—	2	4	no	—
836	C₂²×C₁₃	—	2	2	no	—
837	C₂²×C₁₃	—	2	1	no	—
838	C₂²×C₁₃	—	2	4	no	—
839	C₂²×C₁₃	—	2	4	no	—
840	C₂²×C₁₃	—	2	4	no	—
841	C₂²×C₁₃	—	2	8	no	—
842	C₂²×C₁₃	—	2	2	no	—
843	C₂²×C₁₃	—	2	4	no	—
844	C₂²×C₁₃	—	2	4	no	—
845	C₂²×C₁₃	—	8	8	no	—
846	C₂²×C₁₃	—	8	4	no	—
847	C₂²×C₁₃	—	16	2	no	—
848	C₂²×C₁₃	C₂×H(5,𝔽₂)	1	4	yes	—
849	C₂²×C₁₃	C₂⁶	1	1	yes	characteristic
850	C₄×C₁₃	—	2	4	no	—
851	C₄×C₁₃	—	2	1	no	—
852	C₄×C₁₃	—	2	2	no	—
853	C₄×C₁₃	—	2	2	no	—
854	C₄×C₁₃	—	2	2	no	—
855	C₄×C₁₃	—	2	8	no	—
856	C₄×C₁₃	—	2	4	no	—
857	C₄×C₁₃	—	2	4	no	—
858	C₄×C₁₃	—	2	4	no	—
859	C₄×C₁₃	—	2	2	no	—
860	C₄×C₁₃	—	2	8	no	—
861	C₄×C₁₃	—	2	4	no	—
862	C₄×C₁₃	—	2	2	no	—
863	C₄×C₁₃	C₂×H(5,𝔽₂)	1	2	yes	—
864	2₋¹⁺⁴	—	4	8	no	—
865	2₋¹⁺⁴	—	4	4	no	—
866	H(5,𝔽₂)	—	4	4	no	—
867	C₂×#41	—	4	8	no	—
868	C₂×#41	C₂³×C₁₃	1	2	yes	—
869	C₂×#41	C₂³×C₁₃	1	1	yes	characteristic
870	C₂×#41	C₂³×C₁₃	1	4	yes	—
871	C₂×#41	C₂³×C₁₃	1	1	yes	characteristic
872	C₂×#41	C₂³×C₁₃	1	2	yes	—
873	C₂×#41	C₂³×C₁₃	1	2	yes	—
874	C₂×#41	C₂³×C₁₃	1	8	yes	—
875	C₂×#41	C₂³×C₁₃	1	1	yes	characteristic
876	C₂×#41	C₂³×C₁₃	1	2	yes	—
877	C₂×#41	C₂³×C₁₃	1	4	yes	—
878	C₂×#41	C₂³×C₁₃	1	4	yes	—
879	C₂×#41	C₂³×C₁₃	1	2	yes	—
880	C₂×#41	C₂³×C₁₃	1	8	yes	—
881	C₂×#41	C₂³×C₁₃	1	4	yes	—
882	C₂²×Q₈	C₂³×C₁₃	1	4	yes	—
883	C₂²×Q₈	C₂³×C₁₃	1	4	yes	—
884	C₂²×Q₈	C₂³×C₁₃	1	2	yes	—
885	C₂²×Q₈	C₂³×C₁₃	1	1	yes	characteristic
886	C₂²×Q₈	C₂³×C₁₃	1	2	yes	—
887	C₂²×Q₈	C₂³×C₁₃	1	2	yes	—
888	C₂²×Q₈	C₂³×C₁₃	1	2	yes	—
889	C₂²×D₄	C₂³×C₁₃	1	2	yes	—
890	C₂²×D₄	C₂³×C₁₃	1	2	yes	—
891	C₂²×D₄	C₂³×C₁₃	1	4	yes	—
892	C₂²×D₄	C₂³×C₁₃	1	1	yes	characteristic
893	C₂²×D₄	C₂³×C₁₃	1	4	yes	—
894	C₂³×C₄	C₂³×C₁₃	1	4	yes	—
895	C₂³×C₄	C₂³×C₁₃	1	2	yes	—
896	C₄⋊Q₈	C₂³×C₁₃	1	2	yes	—
897	C₄⋊Q₈	C₂³×C₁₃	1	4	yes	—
898	C₄⋊Q₈	C₂³×C₁₃	1	4	yes	—
899	C₄⋊Q₈	C₂³×C₁₃	1	4	yes	—
900	C₄⋊Q₈	C₂³×C₁₃	1	4	yes	—
901	C₄⋊Q₈	C₂³×C₁₃	1	4	yes	—
902	C₄⋊Q₈	C₂³×C₁₃	1	4	yes	—
903	C₄⋊Q₈	C₂³×C₁₃	1	8	yes	—
904	C₄⋊Q₈	C₂³×C₁₃	1	8	yes	—
905	C₄⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
906	C₄⋊Q₈	C₂³×C₁₃	1	2	yes	—
907	C₄⋊Q₈	C₂³×C₁₃	1	2	yes	—
908	C₄⋊Q₈	C₂³×C₁₃	1	2	yes	—
909	C₄⋊Q₈	C₂³×C₁₃	1	4	yes	—
910	C₄⋊Q₈	C₂³×C₁₃	1	8	yes	—
911	C₄⋊Q₈	C₂³×C₁₃	1	8	yes	—
912	#127	C₂³×C₁₃	1	1	yes	characteristic
913	#127	C₂³×C₁₃	1	2	yes	—
914	#127	C₂³×C₁₃	1	2	yes	—
915	#126	C₂³×C₁₃	1	4	yes	—
916	#126	C₂³×C₁₃	1	8	yes	—
917	#126	C₂³×C₁₃	1	8	yes	—
918	#126	C₂³×C₁₃	1	8	yes	—
919	#126	C₂³×C₁₃	1	8	yes	—
920	#126	C₂³×C₁₃	1	8	yes	—
921	#126	C₂³×C₁₃	1	8	yes	—
922	#126	C₂³×C₁₃	1	8	yes	—
923	#126	C₂³×C₁₃	1	4	yes	—
924	#126	C₂³×C₁₃	1	8	yes	—
925	#126	C₂³×C₁₃	1	4	yes	—
926	#126	C₂³×C₁₃	1	8	yes	—
927	#126	C₂³×C₁₃	1	8	yes	—
928	#126	C₂³×C₁₃	1	8	yes	—
929	#126	C₂³×C₁₃	1	8	yes	—
930	#126	C₂³×C₁₃	1	8	yes	—
931	#125	C₂³×C₁₃	1	2	yes	—
932	#125	C₂³×C₁₃	1	4	yes	—
933	#125	C₂³×C₁₃	1	4	yes	—
934	#125	C₂³×C₁₃	1	4	yes	—
935	#125	C₂³×C₁₃	1	8	yes	—
936	#125	C₂³×C₁₃	1	8	yes	—
937	#125	C₂³×C₁₃	1	8	yes	—
938	#125	C₂³×C₁₃	1	4	yes	—
939	#125	C₂³×C₁₃	1	4	yes	—
940	#125	C₂³×C₁₃	1	8	yes	—
941	#125	C₂³×C₁₃	1	8	yes	—
942	#125	C₂³×C₁₃	1	8	yes	—
943	#125	C₂³×C₁₃	1	8	yes	—
944	#124	C₂³×C₁₃	1	1	yes	characteristic
945	#124	C₂³×C₁₃	1	2	yes	—
946	#124	C₂³×C₁₃	1	2	yes	—
947	#124	C₂³×C₁₃	1	2	yes	—
948	#124	C₂³×C₁₃	1	8	yes	—
949	#124	C₂³×C₁₃	1	2	yes	—
950	#124	C₂³×C₁₃	1	4	yes	—
951	#124	C₂³×C₁₃	1	2	yes	—
952	#124	C₂³×C₁₃	1	4	yes	—
953	#124	C₂³×C₁₃	1	8	yes	—
954	#124	C₂³×C₁₃	1	4	yes	—
955	#124	C₂³×C₁₃	1	1	yes	characteristic
956	#124	C₂³×C₁₃	1	4	yes	—
957	#124	C₂³×C₁₃	1	4	yes	—
958	#124	C₂³×C₁₃	1	2	yes	—
959	#124	C₂³×C₁₃	1	2	yes	—
960	#124	C₂³×C₁₃	1	4	yes	—
961	#124	C₂³×C₁₃	1	8	yes	—
962	#124	C₂³×C₁₃	1	8	yes	—
963	#124	C₂³×C₁₃	1	8	yes	—
964	#123	C₂³×C₁₃	1	2	yes	—
965	#123	C₂³×C₁₃	1	4	yes	—
966	#123	C₂³×C₁₃	1	4	yes	—
967	#123	C₂³×C₁₃	1	4	yes	—
968	#123	C₂³×C₁₃	1	8	yes	—
969	#123	C₂³×C₁₃	1	8	yes	—
970	#123	C₂³×C₁₃	1	2	yes	—
971	#123	C₂³×C₁₃	1	4	yes	—
972	#123	C₂³×C₁₃	1	4	yes	—
973	#123	C₂³×C₁₃	1	8	yes	—
974	#123	C₂³×C₁₃	1	8	yes	—
975	#123	C₂³×C₁₃	1	8	yes	—
976	#123	C₂³×C₁₃	1	8	yes	—
977	#123	C₂³×C₁₃	1	4	yes	—
978	#123	C₂³×C₁₃	1	4	yes	—
979	#123	C₂³×C₁₃	1	8	yes	—
980	#123	C₂³×C₁₃	1	8	yes	—
981	#123	C₂³×C₁₃	1	8	yes	—
982	#123	C₂³×C₁₃	1	8	yes	—
983	#123	C₂³×C₁₃	1	4	yes	—
984	#123	C₂³×C₁₃	1	4	yes	—
985	#123	C₂³×C₁₃	1	4	yes	—
986	#123	C₂³×C₁₃	1	8	yes	—
987	#123	C₂³×C₁₃	1	4	yes	—
988	#123	C₂³×C₁₃	1	8	yes	—
989	#123	C₂³×C₁₃	1	8	yes	—
990	#123	C₂³×C₁₃	1	8	yes	—
991	#123	C₂³×C₁₃	1	4	yes	—
992	#123	C₂³×C₁₃	1	4	yes	—
993	#123	C₂³×C₁₃	1	8	yes	—
994	#123	C₂³×C₁₃	1	8	yes	—
995	#123	C₂³×C₁₃	1	8	yes	—
996	#123	C₂³×C₁₃	1	8	yes	—
997	C₂²⋊Q₈	C₂³×C₁₃	1	4	yes	—
998	C₂²⋊Q₈	C₂³×C₁₃	1	8	yes	—
999	C₂²⋊Q₈	C₂³×C₁₃	1	4	yes	—
1000	C₂²⋊Q₈	C₂³×C₁₃	1	4	yes	—
1001	C₂²⋊Q₈	C₂³×C₁₃	1	8	yes	—
1002	C₂²⋊Q₈	C₂³×C₁₃	1	8	yes	—
1003	C₂²⋊Q₈	C₂³×C₁₃	1	8	yes	—
1004	C₂²⋊Q₈	C₂³×C₁₃	1	4	yes	—
1005	C₂²⋊Q₈	C₂³×C₁₃	1	4	yes	—
1006	C₂²⋊Q₈	C₂³×C₁₃	1	8	yes	—
1007	C₂²⋊Q₈	C₂³×C₁₃	1	8	yes	—
1008	C₂²⋊Q₈	C₂³×C₁₃	1	8	yes	—
1009	C₂²⋊Q₈	C₂³×C₁₃	1	8	yes	—
1010	C₂²⋊Q₈	C₂³×C₁₃	1	4	yes	—
1011	C₂²⋊Q₈	C₂³×C₁₃	1	8	yes	—
1012	C₂²⋊Q₈	C₂³×C₁₃	1	4	yes	—
1013	C₂²⋊Q₈	C₂³×C₁₃	1	4	yes	—
1014	C₂²⋊Q₈	C₂³×C₁₃	1	4	yes	—
1015	C₂²⋊Q₈	C₂³×C₁₃	1	8	yes	—
1016	C₂²⋊Q₈	C₂³×C₁₃	1	4	yes	—
1017	C₂²⋊Q₈	C₂³×C₁₃	1	4	yes	—
1018	C₂²⋊Q₈	C₂³×C₁₃	1	2	yes	—
1019	C₂²⋊Q₈	C₂³×C₁₃	1	4	yes	—
1020	C₂²⋊Q₈	C₂³×C₁₃	1	4	yes	—
1021	C₂²⋊Q₈	C₂³×C₁₃	1	8	yes	—
1022	C₂²⋊Q₈	C₂³×C₁₃	1	8	yes	—
1023	C₂²⋊Q₈	C₂³×C₁₃	1	8	yes	—
1024	C₂²⋊Q₈	C₂³×C₁₃	1	8	yes	—
1025	C₂²⋊Q₈	C₂³×C₁₃	1	8	yes	—
1026	C₂²⋊Q₈	C₂³×C₁₃	1	8	yes	—
1027	C₂²⋊Q₈	C₂³×C₁₃	1	8	yes	—
1028	C₂²⋊Q₈	C₂³×C₁₃	1	8	yes	—
1029	C₂²⋊Q₈	C₂³×C₁₃	1	8	yes	—
1030	C₂²⋊Q₈	C₂³×C₁₃	1	8	yes	—
1031	C₂²⋊Q₈	C₂³×C₁₃	1	8	yes	—
1032	#121	C₂³×C₁₃	1	4	yes	—
1033	#121	C₂³×C₁₃	1	4	yes	—
1034	#121	C₂³×C₁₃	1	8	yes	—
1035	#121	C₂³×C₁₃	1	4	yes	—
1036	#121	C₂³×C₁₃	1	4	yes	—
1037	#121	C₂³×C₁₃	1	8	yes	—
1038	#121	C₂³×C₁₃	1	4	yes	—
1039	#121	C₂³×C₁₃	1	4	yes	—
1040	#121	C₂³×C₁₃	1	4	yes	—
1041	#121	C₂³×C₁₃	1	2	yes	—
1042	#121	C₂³×C₁₃	1	4	yes	—
1043	#121	C₂³×C₁₃	1	8	yes	—
1044	#121	C₂³×C₁₃	1	8	yes	—
1045	#121	C₂³×C₁₃	1	8	yes	—
1046	#121	C₂³×C₁₃	1	4	yes	—
1047	#121	C₂³×C₁₃	1	4	yes	—
1048	#121	C₂³×C₁₃	1	8	yes	—
1049	#121	C₂³×C₁₃	1	8	yes	—
1050	#121	C₂³×C₁₃	1	8	yes	—
1051	#121	C₂³×C₁₃	1	8	yes	—
1052	#121	C₂³×C₁₃	1	8	yes	—
1053	#121	C₂³×C₁₃	1	8	yes	—
1054	#121	C₂³×C₁₃	1	8	yes	—
1055	#121	C₂³×C₁₃	1	8	yes	—
1056	#120	C₂³×C₁₃	1	2	yes	—
1057	#120	C₂³×C₁₃	1	2	yes	—
1058	#120	C₂³×C₁₃	1	4	yes	—
1059	#120	C₂³×C₁₃	1	8	yes	—
1060	#120	C₂³×C₁₃	1	8	yes	—
1061	#120	C₂³×C₁₃	1	4	yes	—
1062	#120	C₂³×C₁₃	1	4	yes	—
1063	#120	C₂³×C₁₃	1	8	yes	—
1064	#120	C₂³×C₁₃	1	4	yes	—
1065	C₄×Q₈	C₂³×C₁₃	1	2	yes	—
1066	C₄×Q₈	C₂³×C₁₃	1	4	yes	—
1067	C₄×Q₈	C₂³×C₁₃	1	4	yes	—
1068	C₄×Q₈	C₂³×C₁₃	1	4	yes	—
1069	C₄×Q₈	C₂³×C₁₃	1	2	yes	—
1070	C₄×Q₈	C₂³×C₁₃	1	4	yes	—
1071	C₄×Q₈	C₂³×C₁₃	1	8	yes	—
1072	C₄×Q₈	C₂³×C₁₃	1	4	yes	—
1073	C₄×D₄	C₂³×C₁₃	1	4	yes	—
1074	C₄×D₄	C₂³×C₁₃	1	2	yes	—
1075	C₄×D₄	C₂³×C₁₃	1	8	yes	—
1076	C₄×D₄	C₂³×C₁₃	1	4	yes	—
1077	C₄×D₄	C₂³×C₁₃	1	8	yes	—
1078	C₄×D₄	C₂³×C₁₃	1	4	yes	—
1079	C₄×D₄	C₂³×C₁₃	1	8	yes	—
1080	C₄×D₄	C₂³×C₁₃	1	8	yes	—
1081	C₄×D₄	C₂³×C₁₃	1	4	yes	—
1082	C₄×D₄	C₂³×C₁₃	1	4	yes	—
1083	C₄×D₄	C₂³×C₁₃	1	2	yes	—
1084	C₄×D₄	C₂³×C₁₃	1	4	yes	—
1085	C₄×D₄	C₂³×C₁₃	1	4	yes	—
1086	C₄×D₄	C₂³×C₁₃	1	8	yes	—
1087	C₄×D₄	C₂³×C₁₃	1	8	yes	—
1088	C₄×D₄	C₂³×C₁₃	1	8	yes	—
1089	C₄×D₄	C₂³×C₁₃	1	8	yes	—
1090	C₄×D₄	C₂³×C₁₃	1	8	yes	—
1091	C₄×D₄	C₂³×C₁₃	1	8	yes	—
1092	C₄×D₄	C₂³×C₁₃	1	4	yes	—
1093	C₄×D₄	C₂³×C₁₃	1	8	yes	—
1094	C₄×D₄	C₂³×C₁₃	1	8	yes	—
1095	C₄×D₄	C₂³×C₁₃	1	8	yes	—
1096	C₄×D₄	C₂³×C₁₃	1	8	yes	—
1097	#117	C₂³×C₁₃	1	2	yes	—
1098	#117	C₂³×C₁₃	1	1	yes	characteristic
1099	#117	C₂³×C₁₃	1	4	yes	—
1100	#117	C₂³×C₁₃	1	2	yes	—
1101	#117	C₂³×C₁₃	1	2	yes	—
1102	#117	C₂³×C₁₃	1	2	yes	—
1103	#117	C₂³×C₁₃	1	4	yes	—
1104	#117	C₂³×C₁₃	1	8	yes	—
1105	#117	C₂³×C₁₃	1	8	yes	—
1106	#117	C₂³×C₁₃	1	8	yes	—
1107	#117	C₂³×C₁₃	1	8	yes	—
1108	#117	C₂³×C₁₃	1	8	yes	—
1109	#117	C₂³×C₁₃	1	4	yes	—
1110	C₂×C₄⋊C₄	C₂³×C₁₃	1	8	yes	—
1111	C₂×C₄⋊C₄	C₂³×C₁₃	1	4	yes	—
1112	C₂×C₄⋊C₄	C₂³×C₁₃	1	4	yes	—
1113	C₂×C₄⋊C₄	C₂³×C₁₃	1	8	yes	—
1114	C₂×C₄⋊C₄	C₂³×C₁₃	1	8	yes	—
1115	C₂×C₄⋊C₄	C₂³×C₁₃	1	8	yes	—
1116	C₂×C₄⋊C₄	C₂³×C₁₃	1	8	yes	—
1117	C₂×C₄⋊C₄	C₂³×C₁₃	1	4	yes	—
1118	C₂×C₄⋊C₄	C₂³×C₁₃	1	8	yes	—
1119	C₂×C₂²⋊C₄	C₂³×C₁₃	1	4	yes	—
1120	C₂×C₂²⋊C₄	C₂³×C₁₃	1	4	yes	—
1121	C₂×C₂²⋊C₄	C₂³×C₁₃	1	8	yes	—
1122	C₂×C₂²⋊C₄	C₂³×C₁₃	1	8	yes	—
1123	C₂×C₂²⋊C₄	C₂³×C₁₃	1	8	yes	—
1124	C₂×C₂²⋊C₄	C₂³×C₁₃	1	8	yes	—
1125	C₂×C₂²⋊C₄	C₂³×C₁₃	1	4	yes	—
1126	C₂×C₄²	C₂³×C₁₃	1	2	yes	—
1127	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
1128	C₂×C₄²	C₂³×C₁₃	1	4	yes	—
1129	C₂×C₄²	C₂³×C₁₃	1	2	yes	—
1130	C₂×C₁₃	—	2	4	no	—
1131	C₂×C₁₃	—	4	2	no	—
1132	C₂×C₁₃	—	4	4	no	—
1133	C₂×C₁₃	—	4	2	no	—
1134	C₂×C₁₃	—	4	4	no	—
1135	C₂×C₁₃	—	4	1	no	—
1136	C₂×C₁₃	C₂²×H(5,𝔽₂)	1	1	yes	characteristic
1137	C₂×C₁₃	2₋¹⁺⁶	1	2	yes	—
1138	C₂⁴	C₂⁴×C₁₃	1	4	yes	—
1139	C₂⁴	C₂⁴×C₁₃	1	2	yes	—
1140	C₂⁴	C₂⁴×C₁₃	1	2	yes	—
1141	#41	—	2	16	no	—
1142	#41	—	2	4	no	—
1143	#41	—	2	8	no	—
1144	#41	—	4	2	no	—
1145	#41	—	4	4	no	—
1146	#41	—	4	2	no	—
1147	#41	—	4	16	no	—
1148	#41	—	4	4	no	—
1149	#41	—	4	16	no	—
1150	#41	—	4	4	no	—
1151	#41	—	4	8	no	—
1152	#41	—	4	8	no	—
1153	#41	—	4	8	no	—
1154	#41	—	4	4	no	—
1155	C₂×Q₈	—	4	8	no	—
1156	C₂×Q₈	—	4	4	no	—
1157	C₂×Q₈	—	4	4	no	—
1158	C₂×Q₈	—	4	8	no	—
1159	C₂×Q₈	—	4	2	no	—
1160	C₂×Q₈	—	4	4	no	—
1161	C₂×Q₈	—	4	4	no	—
1162	C₂×Q₈	C₂⁴×C₁₃	1	2	yes	—
1163	C₂×Q₈	C₂⁴×C₁₃	1	4	yes	—
1164	C₂×Q₈	C₂⁴×C₁₃	1	1	yes	characteristic
1165	C₂×Q₈	C₂⁴×C₁₃	1	2	yes	—
1166	C₂×Q₈	C₂⁴×C₁₃	1	4	yes	—
1167	C₂×Q₈	C₂⁴×C₁₃	1	2	yes	—
1168	C₂×Q₈	C₂⁴×C₁₃	1	8	yes	—
1169	C₂×Q₈	C₂⁴×C₁₃	1	4	yes	—
1170	C₂×Q₈	C₂⁴×C₁₃	1	4	yes	—
1171	C₂×Q₈	C₂⁴×C₁₃	1	4	yes	—
1172	C₂×Q₈	C₂⁴×C₁₃	1	2	yes	—
1173	C₂×Q₈	C₂⁴×C₁₃	1	1	yes	characteristic
1174	C₂×Q₈	C₂⁴×C₁₃	1	1	yes	characteristic
1175	C₂×D₄	—	2	8	no	—
1176	C₂×D₄	—	4	2	no	—
1177	C₂×D₄	—	4	4	no	—
1178	C₂×D₄	—	4	8	no	—
1179	C₂×D₄	—	4	8	no	—
1180	C₂×D₄	C₂⁴×C₁₃	1	4	yes	—
1181	C₂×D₄	C₂⁴×C₁₃	1	8	yes	—
1182	C₂×D₄	C₂⁴×C₁₃	1	4	yes	—
1183	C₂×D₄	C₂⁴×C₁₃	1	2	yes	—
1184	C₂×D₄	C₂⁴×C₁₃	1	2	yes	—
1185	C₂×D₄	C₂⁴×C₁₃	1	4	yes	—
1186	C₂×D₄	C₂⁴×C₁₃	1	8	yes	—
1187	C₂×D₄	C₂⁴×C₁₃	1	4	yes	—
1188	C₂×D₄	C₂⁴×C₁₃	1	4	yes	—
1189	C₂×D₄	C₂⁴×C₁₃	1	2	yes	—
1190	C₂×D₄	C₂⁴×C₁₃	1	8	yes	—
1191	C₂×D₄	C₂⁴×C₁₃	1	4	yes	—
1192	C₂×D₄	C₂⁴×C₁₃	1	2	yes	—
1193	C₂×D₄	C₂⁴×C₁₃	1	2	yes	—
1194	C₂×D₄	C₂⁴×C₁₃	1	1	yes	characteristic
1195	C₂×D₄	C₂⁴×C₁₃	1	4	yes	—
1196	C₂×D₄	C₂⁴×C₁₃	1	8	yes	—
1197	C₂×D₄	C₂⁴×C₁₃	1	2	yes	—
1198	C₂×D₄	C₂⁴×C₁₃	1	4	yes	—
1199	C₂×D₄	C₂⁴×C₁₃	1	2	yes	—
1200	C₂×D₄	C₂⁴×C₁₃	1	1	yes	characteristic
1201	C₂×D₄	C₂⁴×C₁₃	1	1	yes	characteristic
1202	C₂²×C₄	—	4	4	no	—
1203	C₂²×C₄	—	4	8	no	—
1204	C₂²×C₄	C₂⁴×C₁₃	1	4	yes	—
1205	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
1206	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
1207	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1208	C₂²×C₄	C₂⁴×C₁₃	1	8	yes	—
1209	C₂²×C₄	C₂⁴×C₁₃	1	4	yes	—
1210	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
1211	C₂²×C₄	C₂⁴×C₁₃	1	4	yes	—
1212	C₂²×C₄	C₂⁴×C₁₃	1	8	yes	—
1213	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
1214	C₂²×C₄	C₂⁴×C₁₃	1	4	yes	—
1215	C₂²×C₄	C₂⁴×C₁₃	1	8	yes	—
1216	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
1217	C₂²×C₄	C₂⁴×C₁₃	1	8	yes	—
1218	C₂²×C₄	C₂⁴×C₁₃	1	8	yes	—
1219	C₂²×C₄	C₂⁴×C₁₃	1	8	yes	—
1220	C₂²×C₄	C₂⁴×C₁₃	1	4	yes	—
1221	C₂²×C₄	C₂⁴×C₁₃	1	4	yes	—
1222	C₂²×C₄	C₂⁴×C₁₃	1	4	yes	—
1223	C₂²×C₄	C₂⁴×C₁₃	1	4	yes	—
1224	C₂²×C₄	C₂⁴×C₁₃	1	4	yes	—
1225	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
1226	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
1227	C₄⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1228	C₄⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1229	C₄⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1230	C₄⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1231	C₄⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1232	C₄⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1233	C₄⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1234	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
1235	C₄⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1236	C₄⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1237	C₄⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1238	C₄⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1239	C₄⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1240	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
1241	C₄⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1242	C₄⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1243	C₄⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1244	C₄⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1245	C₄⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1246	C₄⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1247	C₄⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1248	C₄⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1249	C₄⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1250	C₄⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1251	C₄⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1252	C₄⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1253	C₄⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1254	C₄⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1255	C₄⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1256	C₄⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1257	C₄⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1258	C₄⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1259	C₂²⋊C₄	C₂⁴×C₁₃	1	2	yes	—
1260	C₂²⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1261	C₂²⋊C₄	C₂⁴×C₁₃	1	2	yes	—
1262	C₂²⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1263	C₂²⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1264	C₂²⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1265	C₂²⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1266	C₂²⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1267	C₂²⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1268	C₂²⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1269	C₂²⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1270	C₂²⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1271	C₂²⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1272	C₂²⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1273	C₂²⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1274	C₂²⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1275	C₂²⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1276	C₂²⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1277	C₂²⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1278	C₂²⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1279	C₂²⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1280	C₂²⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1281	C₂²⋊C₄	C₂⁴×C₁₃	1	2	yes	—
1282	C₂²⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1283	C₂²⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1284	C₂²⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1285	C₂²⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1286	C₂²⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1287	C₂²⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1288	C₂²⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1289	C₂²⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1290	C₂²⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1291	C₄²	C₂⁴×C₁₃	1	1	yes	characteristic
1292	C₄²	C₂⁴×C₁₃	1	2	yes	—
1293	C₄²	C₂⁴×C₁₃	1	2	yes	—
1294	C₄²	C₂⁴×C₁₃	1	2	yes	—
1295	C₄²	C₂⁴×C₁₃	1	4	yes	—
1296	C₄²	C₂⁴×C₁₃	1	2	yes	—
1297	C₄²	C₂⁴×C₁₃	1	8	yes	—
1298	C₄²	C₂⁴×C₁₃	1	4	yes	—
1299	C₄²	C₂⁴×C₁₃	1	1	yes	characteristic
1300	C₄²	C₂⁴×C₁₃	1	4	yes	—
1301	C₄²	C₂⁴×C₁₃	1	4	yes	—
1302	C₄²	C₂⁴×C₁₃	1	8	yes	—
1303	C₄²	C₂⁴×C₁₃	1	8	yes	—
1304	C₁₃	#63063	1	1	yes	characteristic, direct product factor, Sylow
1305	C₂³	—	2	8	no	—
1306	C₂³	—	4	2	no	—
1307	C₂³	—	4	8	no	—
1308	C₂³	—	4	4	no	—
1309	C₂³	—	4	2	no	—
1310	C₂³	—	4	4	no	—
1311	C₂³	C₂⁵×C₁₃	1	2	yes	—
1312	C₂³	C₂⁵×C₁₃	1	1	yes	characteristic
1313	C₂³	C₂⁵×C₁₃	1	4	yes	—
1314	C₂³	C₂⁵×C₁₃	1	4	yes	—
1315	C₂³	C₂⁵×C₁₃	1	2	yes	—
1316	C₂³	C₂⁵×C₁₃	1	2	yes	—
1317	Q₈	—	2	4	no	—
1318	Q₈	—	2	8	no	—
1319	Q₈	—	2	2	no	—
1320	Q₈	—	4	2	no	—
1321	Q₈	—	4	8	no	—
1322	Q₈	—	4	1	no	—
1323	Q₈	—	4	2	no	—
1324	Q₈	—	4	4	no	—
1325	Q₈	—	4	4	no	—
1326	Q₈	—	4	4	no	—
1327	Q₈	—	4	1	no	—
1328	Q₈	—	4	2	no	—
1329	Q₈	—	4	4	no	—
1330	D₄	—	2	8	no	—
1331	D₄	—	2	4	no	—
1332	D₄	—	2	16	no	—
1333	D₄	—	2	8	no	—
1334	D₄	—	2	4	no	—
1335	D₄	—	4	1	no	—
1336	D₄	—	4	2	no	—
1337	D₄	—	4	2	no	—
1338	D₄	—	4	4	no	—
1339	D₄	—	4	8	no	—
1340	D₄	—	4	4	no	—
1341	D₄	—	4	8	no	—
1342	D₄	—	4	4	no	—
1343	D₄	—	4	4	no	—
1344	D₄	—	4	8	no	—
1345	D₄	—	4	2	no	—
1346	D₄	—	4	4	no	—
1347	D₄	—	4	4	no	—
1348	D₄	—	4	1	no	—
1349	D₄	—	4	2	no	—
1350	D₄	—	4	2	no	—
1351	D₄	C₁₃×H(5,𝔽₂)	1	4	yes	—
1352	C₂×C₄	—	2	16	no	—
1353	C₂×C₄	—	2	4	no	—
1354	C₂×C₄	—	2	8	no	—
1355	C₂×C₄	—	2	4	no	—
1356	C₂×C₄	—	2	8	no	—
1357	C₂×C₄	—	2	2	no	—
1358	C₂×C₄	—	2	4	no	—
1359	C₂×C₄	—	4	2	no	—
1360	C₂×C₄	—	4	4	no	—
1361	C₂×C₄	—	4	4	no	—
1362	C₂×C₄	—	4	8	no	—
1363	C₂×C₄	—	4	4	no	—
1364	C₂×C₄	—	4	4	no	—
1365	C₂×C₄	—	4	8	no	—
1366	C₂×C₄	—	4	8	no	—
1367	C₂×C₄	—	4	4	no	—
1368	C₂×C₄	—	4	8	no	—
1369	C₂×C₄	—	4	2	no	—
1370	C₂×C₄	—	4	4	no	—
1371	C₂×C₄	—	4	4	no	—
1372	C₂×C₄	—	4	8	no	—
1373	C₂×C₄	—	4	2	no	—
1374	C₂×C₄	C₂⁵×C₁₃	1	2	yes	—
1375	C₂×C₄	C₂⁵×C₁₃	1	2	yes	—
1376	C₂×C₄	C₂⁵×C₁₃	1	4	yes	—
1377	C₂×C₄	C₂⁵×C₁₃	1	8	yes	—
1378	C₂×C₄	C₂⁵×C₁₃	1	4	yes	—
1379	C₂×C₄	C₂⁵×C₁₃	1	4	yes	—
1380	C₂×C₄	C₂⁵×C₁₃	1	2	yes	—
1381	C₂×C₄	C₂⁵×C₁₃	1	1	yes	characteristic
1382	C₂×C₄	C₂⁵×C₁₃	1	4	yes	—
1383	C₂×C₄	C₂⁵×C₁₃	1	8	yes	—
1384	C₂×C₄	C₂⁵×C₁₃	1	2	yes	—
1385	C₂×C₄	C₂⁵×C₁₃	1	2	yes	—
1386	C₂×C₄	C₂⁵×C₁₃	1	4	yes	—
1387	C₂×C₄	C₂⁵×C₁₃	1	1	yes	characteristic
1388	C₂²	—	2	4	no	—
1389	C₂²	—	2	2	no	—
1390	C₂²	—	2	4	no	—
1391	C₂²	—	2	2	no	—
1392	C₂²	—	2	1	no	—
1393	C₂²	—	2	4	no	—
1394	C₂²	—	2	4	no	—
1395	C₂²	—	2	4	no	—
1396	C₂²	—	2	8	no	—
1397	C₂²	—	2	2	no	—
1398	C₂²	—	2	4	no	—
1399	C₂²	—	2	4	no	—
1400	C₂²	—	8	8	no	—
1401	C₂²	—	8	4	no	—
1402	C₂²	—	16	2	no	—
1403	C₂²	C₂×C₁₃×H(5,𝔽₂)	1	4	yes	—
1404	C₂²	C₂⁶×C₁₃	1	1	yes	characteristic
1405	C₄	—	2	4	no	—
1406	C₄	—	2	1	no	—
1407	C₄	—	2	2	no	—
1408	C₄	—	2	2	no	—
1409	C₄	—	2	2	no	—
1410	C₄	—	2	8	no	—
1411	C₄	—	2	4	no	—
1412	C₄	—	2	4	no	—
1413	C₄	—	2	4	no	—
1414	C₄	—	2	2	no	—
1415	C₄	—	2	8	no	—
1416	C₄	—	2	4	no	—
1417	C₄	—	2	2	no	—
1418	C₄	C₂×C₁₃×H(5,𝔽₂)	1	2	yes	—
1419	C₂	—	2	4	no	—
1420	C₂	—	4	2	no	—
1421	C₂	—	4	4	no	—
1422	C₂	—	4	4	no	—
1423	C₂	—	4	1	no	—
1424	C₂	—	4	2	no	—
1425	C₂	C₂²×C₁₃×H(5,𝔽₂)	1	1	yes	characteristic
1426	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×#3561	C₂	semidirect
2. C₁₃×#3560	C₂	semidirect
3. C₁₃×#3559	C₂	semidirect
4. C₁₃×#3552	C₂	semidirect
5. C₁₃×#3551	C₂	semidirect
6. C₁₃×#3550	C₂	semidirect
7. C₁₃×#3545	C₂	semidirect
8. C₁₃×#3544	C₂	semidirect
9. C₁₃×#3541	C₂	semidirect
10. C₁₃×#3538	C₂	semidirect
11. C₁₃×#3535	C₂	semidirect
12. C₁₃×#3533	C₂	semidirect
13. C₁₃×#3529	C₂	semidirect
14. C₂×C₁₃×#563	C₂	semidirect
15. C₁₃×#3521	C₂	semidirect
16. C₁₃×#3515	C₂	semidirect
17. C₁₃×#3500	C₂	semidirect
18. C₁₃×#3499	C₂	semidirect
19. C₁₃×#3489	C₂	semidirect
20. C₁₃×#3485	C₂	semidirect
21. C₂×C₁₃×2₋¹⁺⁴	C₂²	semidirect
22. C₂×C₁₃×2₋¹⁺⁴	C₂²	semidirect
24. C₂²×C₁₃×#41	C₂²	semidirect
25. C₁₃×#563	C₂²	semidirect
26. C₁₃×#563	C₂²	semidirect
27. C₁₃×#563	C₂²	semidirect
28. C₁₃×#563	C₂²	semidirect
29. C₁₃×#563	C₂²	semidirect
30. C₁₃×#563	C₂²	semidirect
31. C₁₃×#563	C₂²	semidirect
32. C₁₃×#563	C₂²	semidirect
33. C₁₃×#563	C₂²	semidirect
34. C₁₃×#563	C₂²	semidirect
35. C₁₃×#563	C₂²	semidirect
36. C₁₃×#562	C₂²	semidirect
37. C₁₃×#562	C₂²	semidirect
38. C₁₃×#562	C₂²	semidirect
39. C₁₃×#562	C₂²	semidirect
40. C₁₃×H(3,𝔽₄)	C₂²	semidirect
41. C₁₃×#560	C₂²	semidirect
42. C₁₃×#560	C₂²	semidirect
43. C₁₃×#560	C₂²	semidirect
44. C₁₃×#559	C₂²	semidirect
45. Q₈²×C₁₃	C₂²	semidirect
46. C₁₃×#557	C₂²	semidirect
47. C₁₃×#556	C₂²	semidirect
48. C₁₃×#556	C₂²	semidirect
49. C₁₃×#555	C₂²	semidirect
50. C₁₃×#554	C₂²	semidirect
51. C₁₃×#554	C₂²	semidirect
52. C₁₃×#554	C₂²	semidirect
53. C₁₃×#554	C₂²	semidirect
54. C₁₃×#553	C₂²	semidirect
55. C₁₃×#553	C₂²	semidirect
56. C₁₃×#553	C₂²	semidirect
57. C₁₃×#553	C₂²	semidirect
58. C₁₃×#553	C₂²	semidirect
59. C₁₃×#552	C₂²	semidirect
60. C₁₃×#552	C₂²	semidirect
61. C₁₃×#552	C₂²	semidirect
62. C₁₃×#552	C₂²	semidirect
63. C₁₃×#552	C₂²	semidirect
64. C₁₃×#551	C₂²	semidirect
65. C₁₃×#551	C₂²	semidirect
66. C₁₃×#551	C₂²	semidirect
67. C₁₃×#551	C₂²	semidirect
68. C₁₃×#551	C₂²	semidirect
69. C₁₃×#551	C₂²	semidirect
70. D₄×Q₈×C₁₃	C₂²	semidirect
71. D₄×Q₈×C₁₃	C₂²	semidirect
72. D₄×Q₈×C₁₃	C₂²	semidirect
73. D₄×Q₈×C₁₃	C₂²	semidirect
74. C₁₃×#548	C₂²	semidirect
75. C₁₃×#548	C₂²	semidirect
76. C₁₃×#548	C₂²	semidirect
78. C₁₃×#547	C₂²	semidirect
79. C₁₃×#547	C₂²	semidirect
80. C₁₃×#547	C₂²	semidirect
81. C₁₃×#547	C₂²	semidirect
82. C₁₃×#547	C₂²	semidirect
83. C₁₃×#547	C₂²	semidirect
84. C₁₃×#547	C₂²	semidirect
85. C₁₃×#547	C₂²	semidirect
88. C₁₃×#546	C₂²	semidirect
89. C₁₃×#546	C₂²	semidirect
90. C₁₃×#546	C₂²	semidirect
91. C₁₃×#546	C₂²	semidirect
92. C₁₃×#546	C₂²	semidirect
93. C₁₃×#544	C₂²	semidirect
94. C₁₃×#544	C₂²	semidirect
95. C₁₃×#543	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×#541	C₂²	semidirect
102. C₁₃×#541	C₂²	semidirect
103. C₁₃×#540	C₂²	semidirect
104. C₁₃×#539	C₂²	semidirect
105. C₁₃×#539	C₂²	semidirect
106. C₁₃×#539	C₂²	semidirect
107. C₁₃×#539	C₂²	semidirect
108. C₁₃×#539	C₂²	semidirect
109. C₁₃×#539	C₂²	semidirect
110. C₁₃×#538	C₂²	semidirect
111. C₁₃×#538	C₂²	semidirect
112. C₁₃×#538	C₂²	semidirect
113. C₁₃×#538	C₂²	semidirect
114. C₁₃×#538	C₂²	semidirect
115. C₁₃×#537	C₂²	semidirect
116. C₁₃×#537	C₂²	semidirect
119. C₁₃×#536	C₂²	semidirect
120. C₁₃×#536	C₂²	semidirect
121. C₁₃×#536	C₂²	semidirect
122. C₁₃×#536	C₂²	semidirect
123. C₁₃×#536	C₂²	semidirect
124. C₁₃×#536	C₂²	semidirect
125. C₁₃×#536	C₂²	semidirect
126. C₁₃×#536	C₂²	semidirect
128. C₁₃×#535	C₂²	semidirect
130. C₁₃×#534	C₂²	semidirect
131. C₁₃×#533	C₂²	semidirect
133. C₁₃×#532	C₂²	semidirect
134. C₁₃×#532	C₂²	semidirect
135. C₁₃×#532	C₂²	semidirect
136. C₂×C₁₃×C₄⋊Q₈	C₂²	semidirect
137. C₂×C₁₃×C₄⋊Q₈	C₂²	semidirect
138. C₁₃×#529	C₂²	semidirect
139. C₁₃×#529	C₂²	semidirect
140. C₁₃×#529	C₂²	semidirect
141. C₁₃×#529	C₂²	semidirect
142. C₁₃×#529	C₂²	semidirect
143. C₂×C₁₃×#126	C₂²	semidirect
144. C₂×C₁₃×#125	C₂²	semidirect
146. C₂×C₁₃×#124	C₂²	semidirect
148. C₁₃×#525	C₂²	semidirect
149. C₁₃×#525	C₂²	semidirect
150. C₁₃×#525	C₂²	semidirect
152. C₂×C₁₃×#123	C₂²	semidirect
153. C₂×C₁₃×C₂²⋊Q₈	C₂²	semidirect
154. C₂×C₁₃×C₂²⋊Q₈	C₂²	semidirect
155. C₁₃×#520	C₂²	semidirect
156. C₁₃×#518	C₂²	semidirect
157. C₄×C₁₃×#41	C₂²	semidirect
158. C₄×C₁₃×#41	C₂²	semidirect
425. #63063	C₁₃	direct (N × H)
592. #3561	C₂×C₁₃	semidirect
593. #3560	C₂×C₁₃	semidirect
594. #3559	C₂×C₁₃	semidirect
595. #3552	C₂×C₁₃	semidirect
596. #3551	C₂×C₁₃	semidirect
597. #3550	C₂×C₁₃	semidirect
598. #3545	C₂×C₁₃	semidirect
599. #3544	C₂×C₁₃	semidirect
600. #3541	C₂×C₁₃	semidirect
601. #3538	C₂×C₁₃	semidirect
602. #3535	C₂×C₁₃	semidirect
603. #3533	C₂×C₁₃	semidirect
604. #3529	C₂×C₁₃	semidirect
605. C₂×#563	C₂×C₁₃	semidirect
606. #3521	C₂×C₁₃	semidirect
607. #3515	C₂×C₁₃	semidirect
608. #3500	C₂×C₁₃	semidirect
609. #3499	C₂×C₁₃	semidirect
610. #3489	C₂×C₁₃	semidirect
611. #3485	C₂×C₁₃	semidirect
695. C₂×2₋¹⁺⁴	C₂²×C₁₃	semidirect
696. C₂×2₋¹⁺⁴	C₂²×C₁₃	semidirect
698. C₂²×#41	C₂²×C₁₃	semidirect
699. #563	C₂²×C₁₃	semidirect
700. #563	C₂²×C₁₃	semidirect
701. #563	C₂²×C₁₃	semidirect
702. #563	C₂²×C₁₃	semidirect
703. #563	C₂²×C₁₃	semidirect
704. #563	C₂²×C₁₃	semidirect
705. #563	C₂²×C₁₃	semidirect
706. #563	C₂²×C₁₃	semidirect
707. #563	C₂²×C₁₃	semidirect
708. #563	C₂²×C₁₃	semidirect
709. #563	C₂²×C₁₃	semidirect
710. #562	C₂²×C₁₃	semidirect
711. #562	C₂²×C₁₃	semidirect
712. #562	C₂²×C₁₃	semidirect
713. #562	C₂²×C₁₃	semidirect
714. H(3,𝔽₄)	C₂²×C₁₃	semidirect
715. #560	C₂²×C₁₃	semidirect
716. #560	C₂²×C₁₃	semidirect
717. #560	C₂²×C₁₃	semidirect
718. #559	C₂²×C₁₃	semidirect
719. Q₈²	C₂²×C₁₃	semidirect
720. #557	C₂²×C₁₃	semidirect
721. #556	C₂²×C₁₃	semidirect
722. #556	C₂²×C₁₃	semidirect
723. #555	C₂²×C₁₃	semidirect
724. #554	C₂²×C₁₃	semidirect
725. #554	C₂²×C₁₃	semidirect
726. #554	C₂²×C₁₃	semidirect
727. #554	C₂²×C₁₃	semidirect
728. #553	C₂²×C₁₃	semidirect
729. #553	C₂²×C₁₃	semidirect
730. #553	C₂²×C₁₃	semidirect
731. #553	C₂²×C₁₃	semidirect
732. #553	C₂²×C₁₃	semidirect
733. #552	C₂²×C₁₃	semidirect
734. #552	C₂²×C₁₃	semidirect
735. #552	C₂²×C₁₃	semidirect
736. #552	C₂²×C₁₃	semidirect
737. #552	C₂²×C₁₃	semidirect
738. #551	C₂²×C₁₃	semidirect
739. #551	C₂²×C₁₃	semidirect
740. #551	C₂²×C₁₃	semidirect
741. #551	C₂²×C₁₃	semidirect
742. #551	C₂²×C₁₃	semidirect
743. #551	C₂²×C₁₃	semidirect
744. D₄×Q₈	C₂²×C₁₃	semidirect
745. D₄×Q₈	C₂²×C₁₃	semidirect
746. D₄×Q₈	C₂²×C₁₃	semidirect
747. D₄×Q₈	C₂²×C₁₃	semidirect
748. #548	C₂²×C₁₃	semidirect
749. #548	C₂²×C₁₃	semidirect
750. #548	C₂²×C₁₃	semidirect
752. #547	C₂²×C₁₃	semidirect
753. #547	C₂²×C₁₃	semidirect
754. #547	C₂²×C₁₃	semidirect
755. #547	C₂²×C₁₃	semidirect
756. #547	C₂²×C₁₃	semidirect
757. #547	C₂²×C₁₃	semidirect
758. #547	C₂²×C₁₃	semidirect
759. #547	C₂²×C₁₃	semidirect
762. #546	C₂²×C₁₃	semidirect
763. #546	C₂²×C₁₃	semidirect
764. #546	C₂²×C₁₃	semidirect
765. #546	C₂²×C₁₃	semidirect
766. #546	C₂²×C₁₃	semidirect
767. #544	C₂²×C₁₃	semidirect
768. #544	C₂²×C₁₃	semidirect
769. #543	C₂²×C₁₃	semidirect
770. #542	C₂²×C₁₃	semidirect
771. #542	C₂²×C₁₃	semidirect
772. #542	C₂²×C₁₃	semidirect
773. #542	C₂²×C₁₃	semidirect
774. #542	C₂²×C₁₃	semidirect
775. #541	C₂²×C₁₃	semidirect
776. #541	C₂²×C₁₃	semidirect
777. #540	C₂²×C₁₃	semidirect
778. #539	C₂²×C₁₃	semidirect
779. #539	C₂²×C₁₃	semidirect
780. #539	C₂²×C₁₃	semidirect
781. #539	C₂²×C₁₃	semidirect
782. #539	C₂²×C₁₃	semidirect
783. #539	C₂²×C₁₃	semidirect
784. #538	C₂²×C₁₃	semidirect
785. #538	C₂²×C₁₃	semidirect
786. #538	C₂²×C₁₃	semidirect
787. #538	C₂²×C₁₃	semidirect
788. #538	C₂²×C₁₃	semidirect
789. #537	C₂²×C₁₃	semidirect
790. #537	C₂²×C₁₃	semidirect
793. #536	C₂²×C₁₃	semidirect
794. #536	C₂²×C₁₃	semidirect
795. #536	C₂²×C₁₃	semidirect
796. #536	C₂²×C₁₃	semidirect
797. #536	C₂²×C₁₃	semidirect
798. #536	C₂²×C₁₃	semidirect
799. #536	C₂²×C₁₃	semidirect
800. #536	C₂²×C₁₃	semidirect
802. #535	C₂²×C₁₃	semidirect
804. #534	C₂²×C₁₃	semidirect
805. #533	C₂²×C₁₃	semidirect
807. #532	C₂²×C₁₃	semidirect
808. #532	C₂²×C₁₃	semidirect
809. #532	C₂²×C₁₃	semidirect
810. C₂×C₄⋊Q₈	C₂²×C₁₃	semidirect
811. C₂×C₄⋊Q₈	C₂²×C₁₃	semidirect
812. #529	C₂²×C₁₃	semidirect
813. #529	C₂²×C₁₃	semidirect
814. #529	C₂²×C₁₃	semidirect
815. #529	C₂²×C₁₃	semidirect
816. #529	C₂²×C₁₃	semidirect
817. C₂×#126	C₂²×C₁₃	semidirect
818. C₂×#125	C₂²×C₁₃	semidirect
820. C₂×#124	C₂²×C₁₃	semidirect
822. #525	C₂²×C₁₃	semidirect
823. #525	C₂²×C₁₃	semidirect
824. #525	C₂²×C₁₃	semidirect
826. C₂×#123	C₂²×C₁₃	semidirect
827. C₂×C₂²⋊Q₈	C₂²×C₁₃	semidirect
828. C₂×C₂²⋊Q₈	C₂²×C₁₃	semidirect
829. #520	C₂²×C₁₃	semidirect
830. #518	C₂²×C₁₃	semidirect
831. C₄×#41	C₂²×C₁₃	semidirect
832. C₄×#41	C₂²×C₁₃	semidirect
1304. C₁₃	#63063	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×#3559	2
C₁₃×#3552	2
C₁₃×#3551	2
C₁₃×#3550	2
C₁₃×#3545	2
C₁₃×#3544	2
C₁₃×#3541	2
C₁₃×#3538	2
C₁₃×#3535	2
C₁₃×#3533	2
C₁₃×#3529	2
C₂×C₁₃×#563	2
C₁₃×#3521	2
C₁₃×#3515	2
C₁₃×#3500	2
C₁₃×#3499	2
C₁₃×#3489	2
C₁₃×#3485	2
#63063	13

Subgroups — C13×#63063 #15749402

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₃×#63063 #15749402