Subgroups — C₁₃×#62773 #15749112

Order 3328.

7998 conjugacy classes of subgroups.

The subgroup lattice has 1190 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₁₃×#3520	C₂	1	4	yes	maximal, complemented
2	C₁₃×#3519	C₂	1	4	yes	maximal, complemented
3	C₁₃×#3513	C₂	1	8	yes	maximal, complemented
4	C₁₃×#3506	C₂	1	2	yes	maximal, complemented
5	C₁₃×#3505	C₂	1	4	yes	maximal, complemented
6	C₁₃×#3501	C₂	1	1	yes	maximal, characteristic, complemented
7	C₁₃×#3496	C₂	1	1	yes	maximal, characteristic, complemented
8	C₁₃×#3492	C₂	1	2	yes	maximal, complemented
9	C₁₃×#3490	C₂	1	4	yes	maximal, complemented
10	C₁₃×#3484	C₂	1	2	yes	maximal, complemented
11	C₁₃×#3481	C₂	1	8	yes	maximal, complemented
12	C₁₃×#3475	C₂	1	4	yes	maximal, complemented
13	D₄×C₁₃×#41	C₂	1	4	yes	maximal, complemented
14	C₁₃×#3460	C₂	1	2	yes	maximal, complemented
15	C₁₃×#3459	C₂	1	4	yes	maximal, complemented
16	C₁₃×#3444	C₂	1	2	yes	maximal, complemented
17	C₂×C₁₃×#525	C₂	1	4	yes	maximal, complemented
18	C₄×C₁₃×H(5,𝔽₂)	C₂	1	2	yes	maximal, complemented
19	C₂²×C₄×D₄×C₁₃	C₂	1	1	yes	maximal, characteristic, complemented
20	C₂×C₁₃×H(5,𝔽₂)	C₂²	1	2	yes	—
21	C₂²×C₁₃×#41	C₂²	1	4	yes	complemented
22	C₂³×D₄×C₁₃	C₂²	1	1	yes	characteristic
23	C₂⁴×C₄×C₁₃	C₂²	1	2	yes	complemented
24	C₁₃×#559	C₂²	1	8	yes	complemented
25	C₁₃×#556	C₂²	1	4	yes	complemented
26	C₁₃×#555	C₂²	1	4	yes	complemented
27	C₁₃×#554	C₂²	1	8	yes	complemented
28	C₁₃×#554	C₂²	1	4	yes	complemented
29	C₁₃×#554	C₂²	1	8	yes	complemented
30	C₁₃×#553	C₂²	1	8	yes	complemented
31	C₁₃×#553	C₂²	1	8	yes	complemented
32	C₁₃×#553	C₂²	1	16	yes	complemented
33	C₁₃×#553	C₂²	1	8	yes	complemented
34	C₁₃×#552	C₂²	1	8	yes	complemented
35	C₁₃×#552	C₂²	1	8	yes	complemented
36	C₁₃×#551	C₂²	1	16	yes	complemented
37	C₁₃×#551	C₂²	1	16	yes	complemented
38	C₁₃×#551	C₂²	1	16	yes	complemented
39	C₁₃×#550	C₂²	1	4	yes	complemented
40	D₄×Q₈×C₁₃	C₂²	1	4	yes	complemented
41	C₁₃×#548	C₂²	1	8	yes	complemented
42	C₁₃×#547	C₂²	1	8	yes	complemented
43	C₁₃×#547	C₂²	1	4	yes	complemented
44	C₁₃×#547	C₂²	1	4	yes	complemented
45	C₁₃×#546	C₂²	1	8	yes	complemented
46	C₁₃×#546	C₂²	1	8	yes	complemented
47	C₁₃×#546	C₂²	1	16	yes	complemented
48	C₁₃×#546	C₂²	1	16	yes	complemented
49	C₁₃×#546	C₂²	1	8	yes	complemented
50	C₁₃×#546	C₂²	1	8	yes	complemented
51	D₄²×C₁₃	C₂²	1	8	yes	complemented
52	D₄²×C₁₃	C₂²	1	8	yes	complemented
53	D₄²×C₁₃	C₂²	1	4	yes	complemented
54	C₁₃×#544	C₂²	1	2	yes	complemented
55	C₁₃×#543	C₂²	1	4	yes	complemented
56	C₁₃×#542	C₂²	1	8	yes	complemented
57	C₁₃×#540	C₂²	1	8	yes	complemented
58	C₁₃×#539	C₂²	1	8	yes	complemented
59	C₁₃×#539	C₂²	1	16	yes	complemented
60	C₁₃×#538	C₂²	1	8	yes	complemented
61	C₁₃×#538	C₂²	1	8	yes	complemented
62	C₁₃×#538	C₂²	1	16	yes	complemented
63	C₁₃×#537	C₂²	1	2	yes	complemented
64	C₁₃×#535	C₂²	1	4	yes	complemented
65	C₁₃×#534	C₂²	1	8	yes	complemented
66	C₁₃×#534	C₂²	1	4	yes	complemented
67	C₁₃×#533	C₂²	1	2	yes	complemented
68	C₁₃×#533	C₂²	1	2	yes	complemented
69	C₁₃×#533	C₂²	1	2	yes	complemented
70	C₁₃×#532	C₂²	1	2	yes	complemented
71	C₁₃×#532	C₂²	1	2	yes	complemented
72	C₁₃×#532	C₂²	1	2	yes	complemented
73	C₁₃×#532	C₂²	1	8	yes	complemented
74	C₁₃×#529	C₂²	1	4	yes	complemented
75	C₁₃×#529	C₂²	1	4	yes	complemented
76	C₁₃×#529	C₂²	1	4	yes	complemented
77	C₁₃×#529	C₂²	1	4	yes	complemented
78	C₁₃×#529	C₂²	1	4	yes	complemented
79	C₁₃×#529	C₂²	1	4	yes	complemented
80	C₁₃×#529	C₂²	1	16	yes	complemented
81	C₁₃×#529	C₂²	1	8	yes	complemented
82	C₁₃×#525	C₂²	1	4	yes	complemented
83	C₁₃×#525	C₂²	1	8	yes	complemented
84	C₁₃×#525	C₂²	1	4	yes	complemented
85	C₁₃×#525	C₂²	1	4	yes	complemented
86	C₁₃×#525	C₂²	1	8	yes	complemented
87	C₁₃×#525	C₂²	1	8	yes	complemented
88	C₁₃×#525	C₂²	1	8	yes	complemented
89	C₁₃×#525	C₂²	1	8	yes	complemented
90	C₁₃×#525	C₂²	1	8	yes	complemented
91	C₁₃×#525	C₂²	1	8	yes	complemented
92	C₁₃×#525	C₂²	1	16	yes	complemented
93	C₂×C₁₃×#123	C₂²	1	8	yes	complemented
94	C₂×C₁₃×C₂²⋊Q₈	C₂²	1	4	yes	complemented
95	C₂×C₁₃×C₂²⋊Q₈	C₂²	1	4	yes	complemented
96	C₂×C₁₃×#121	C₂²	1	4	yes	complemented
97	C₂×C₁₃×#121	C₂²	1	4	yes	complemented
98	C₂×C₁₃×#120	C₂²	1	8	yes	complemented
99	C₁₃×#520	C₂²	1	4	yes	complemented
100	C₁₃×#520	C₂²	1	8	yes	complemented
101	C₁₃×#518	C₂²	1	2	yes	—
102	C₁₃×#518	C₂²	1	8	yes	complemented
103	C₁₃×#518	C₂²	1	8	yes	complemented
104	C₄×C₁₃×#41	C₂²	1	4	yes	complemented
105	C₄×C₁₃×#41	C₂²	1	4	yes	complemented
106	C₄×C₁₃×#41	C₂²	1	4	yes	complemented
107	C₄×C₁₃×#41	C₂²	1	8	yes	complemented
108	C₂×C₄×D₄×C₁₃	C₂²	1	1	yes	characteristic
109	C₂×C₄×D₄×C₁₃	C₂²	1	1	yes	characteristic
110	C₂×C₄×D₄×C₁₃	C₂²	1	4	yes	complemented
111	C₂×C₄×D₄×C₁₃	C₂²	1	2	yes	complemented
112	C₂×C₄×D₄×C₁₃	C₂²	1	1	yes	characteristic, complemented
113	C₂×C₄×D₄×C₁₃	C₂²	1	4	yes	complemented
114	C₂×C₄×D₄×C₁₃	C₂²	1	4	yes	complemented
115	C₂×C₄×D₄×C₁₃	C₂²	1	2	yes	complemented
116	C₂×C₄×D₄×C₁₃	C₂²	1	1	yes	characteristic, complemented
117	C₂×C₄×D₄×C₁₃	C₂²	1	4	yes	complemented
118	C₂×C₄×D₄×C₁₃	C₂²	1	8	yes	complemented
119	C₂×C₄×D₄×C₁₃	C₂²	1	8	yes	complemented
120	C₂×C₄×D₄×C₁₃	C₂²	1	8	yes	complemented
121	C₂×C₁₃×#117	C₂²	1	4	yes	complemented
122	C₂²×C₁₃×C₄⋊C₄	C₂²	1	1	yes	characteristic, complemented
123	C₂²×C₁₃×C₂²⋊C₄	C₂²	1	2	yes	complemented
124	C₂²×C₄²×C₁₃	C₂²	1	1	yes	characteristic, complemented
125	C₂⁵×C₁₃	C₂³	1	2	yes	—
126	C₁₃×H(5,𝔽₂)	—	2	16	no	—
127	C₂×C₁₃×#41	—	4	16	no	—
128	C₂×C₁₃×#41	C₂³	1	4	yes	—
129	C₂×C₁₃×#41	C₂³	1	8	yes	—
130	C₂×C₁₃×#41	C₂³	1	4	yes	—
131	C₂×C₁₃×#41	C₂³	1	4	yes	—
132	C₂×C₁₃×#41	C₂³	1	8	yes	—
133	C₂×C₁₃×#41	C₂³	1	8	yes	complemented
134	C₂×C₁₃×#41	C₂³	1	8	yes	complemented
135	C₂²×Q₈×C₁₃	C₂³	1	4	yes	complemented
136	C₂²×D₄×C₁₃	—	2	8	no	—
137	C₂²×D₄×C₁₃	C₂³	1	2	yes	—
138	C₂²×D₄×C₁₃	C₂³	1	1	yes	characteristic
139	C₂²×D₄×C₁₃	C₂³	1	4	yes	—
140	C₂²×D₄×C₁₃	C₂³	1	4	yes	—
141	C₂²×D₄×C₁₃	C₂³	1	8	yes	—
142	C₂²×D₄×C₁₃	C₂³	1	8	yes	—
143	C₂²×D₄×C₁₃	C₂³	1	8	yes	—
144	C₂²×D₄×C₁₃	C₂³	1	8	yes	—
145	C₂²×D₄×C₁₃	C₂³	1	1	yes	characteristic
146	C₂²×D₄×C₁₃	C₂³	1	4	yes	complemented
147	C₂³×C₄×C₁₃	—	4	8	no	—
148	C₂³×C₄×C₁₃	C₂³	1	1	yes	characteristic
149	C₂³×C₄×C₁₃	C₂³	1	1	yes	characteristic
150	C₂³×C₄×C₁₃	C₂³	1	4	yes	—
151	C₂³×C₄×C₁₃	C₂³	1	1	yes	characteristic
152	C₂³×C₄×C₁₃	C₂³	1	2	yes	—
153	C₂³×C₄×C₁₃	C₂³	1	2	yes	—
154	C₂³×C₄×C₁₃	C₂³	1	2	yes	—
155	C₂³×C₄×C₁₃	C₂³	1	4	yes	—
156	C₂³×C₄×C₁₃	C₂³	1	4	yes	—
157	C₂³×C₄×C₁₃	C₂³	1	4	yes	—
158	C₂³×C₄×C₁₃	C₂³	1	2	yes	—
159	C₂³×C₄×C₁₃	C₂³	1	2	yes	—
160	C₂³×C₄×C₁₃	C₂³	1	8	yes	complemented
161	C₁₃×C₄⋊Q₈	C₂³	1	2	yes	complemented
162	C₁₃×C₄⋊Q₈	C₂³	1	2	yes	complemented
163	C₁₃×C₄⋊Q₈	C₂³	1	2	yes	complemented
164	C₁₃×C₄⋊Q₈	C₂³	1	8	yes	complemented
165	C₁₃×#127	C₂³	1	8	yes	—
166	C₁₃×#127	C₂³	1	2	yes	complemented
167	C₁₃×#126	C₂³	1	8	yes	complemented
168	C₁₃×#126	C₂³	1	8	yes	complemented
169	C₁₃×#126	C₂³	1	16	yes	complemented
170	C₁₃×#126	C₂³	1	16	yes	complemented
171	C₁₃×#126	C₂³	1	16	yes	complemented
172	C₁₃×#125	C₂³	1	4	yes	complemented
173	C₁₃×#125	C₂³	1	4	yes	complemented
174	C₁₃×#125	C₂³	1	4	yes	complemented
175	C₁₃×#125	C₂³	1	16	yes	complemented
176	C₁₃×#125	C₂³	1	8	yes	complemented
177	C₁₃×#124	C₂³	1	8	yes	—
178	C₁₃×#124	C₂³	1	4	yes	complemented
179	C₁₃×#124	C₂³	1	4	yes	complemented
180	C₁₃×#124	C₂³	1	4	yes	complemented
181	C₁₃×#124	C₂³	1	16	yes	complemented
182	C₁₃×#124	C₂³	1	16	yes	complemented
183	C₁₃×#123	C₂³	1	8	yes	—
184	C₁₃×#123	C₂³	1	16	yes	—
185	C₁₃×#123	C₂³	1	8	yes	—
186	C₁₃×#123	C₂³	1	8	yes	—
187	C₁₃×#123	C₂³	1	16	yes	—
188	C₁₃×#123	C₂³	1	16	yes	complemented
189	C₁₃×#123	C₂³	1	16	yes	complemented
190	C₁₃×#123	C₂³	1	16	yes	complemented
191	C₁₃×#123	C₂³	1	16	yes	complemented
192	C₁₃×#123	C₂³	1	16	yes	complemented
193	C₁₃×#123	C₂³	1	16	yes	complemented
194	C₁₃×C₂²⋊Q₈	C₂³	1	4	yes	—
195	C₁₃×C₂²⋊Q₈	C₂³	1	4	yes	—
196	C₁₃×C₂²⋊Q₈	C₂³	1	8	yes	—
197	C₁₃×C₂²⋊Q₈	C₂³	1	8	yes	—
198	C₁₃×C₂²⋊Q₈	C₂³	1	4	yes	—
199	C₁₃×C₂²⋊Q₈	C₂³	1	4	yes	—
200	C₁₃×C₂²⋊Q₈	C₂³	1	4	yes	—
201	C₁₃×C₂²⋊Q₈	C₂³	1	4	yes	—
202	C₁₃×C₂²⋊Q₈	C₂³	1	8	yes	complemented
203	C₁₃×C₂²⋊Q₈	C₂³	1	8	yes	complemented
204	C₁₃×C₂²⋊Q₈	C₂³	1	8	yes	complemented
205	C₁₃×C₂²⋊Q₈	C₂³	1	8	yes	complemented
206	C₁₃×C₂²⋊Q₈	C₂³	1	16	yes	complemented
207	C₁₃×C₂²⋊Q₈	C₂³	1	16	yes	complemented
208	C₁₃×C₂²⋊Q₈	C₂³	1	8	yes	complemented
209	C₁₃×C₂²⋊Q₈	C₂³	1	16	yes	complemented
210	C₁₃×#121	C₂³	1	4	yes	—
211	C₁₃×#121	C₂³	1	4	yes	—
212	C₁₃×#121	C₂³	1	8	yes	—
213	C₁₃×#121	C₂³	1	8	yes	—
214	C₁₃×#121	C₂³	1	4	yes	—
215	C₁₃×#121	C₂³	1	4	yes	—
216	C₁₃×#121	C₂³	1	4	yes	—
217	C₁₃×#121	C₂³	1	4	yes	—
218	C₁₃×#121	C₂³	1	16	yes	—
219	C₁₃×#121	C₂³	1	16	yes	—
220	C₁₃×#121	C₂³	1	8	yes	—
221	C₁₃×#121	C₂³	1	8	yes	—
222	C₁₃×#121	C₂³	1	8	yes	complemented
223	C₁₃×#121	C₂³	1	8	yes	complemented
224	C₁₃×#121	C₂³	1	8	yes	complemented
225	C₁₃×#121	C₂³	1	8	yes	complemented
226	C₁₃×#121	C₂³	1	16	yes	complemented
227	C₁₃×#121	C₂³	1	8	yes	complemented
228	C₁₃×#121	C₂³	1	16	yes	complemented
229	C₁₃×#120	C₂³	1	8	yes	—
230	C₁₃×#120	C₂³	1	16	yes	—
231	C₁₃×#120	C₂³	1	16	yes	—
232	C₁₃×#120	C₂³	1	16	yes	—
233	C₁₃×#120	C₂³	1	16	yes	—
234	C₁₃×#120	C₂³	1	16	yes	complemented
235	C₄×Q₈×C₁₃	C₂³	1	4	yes	complemented
236	C₄×Q₈×C₁₃	C₂³	1	4	yes	complemented
237	C₄×Q₈×C₁₃	C₂³	1	8	yes	complemented
238	C₄×Q₈×C₁₃	C₂³	1	4	yes	complemented
239	C₄×Q₈×C₁₃	C₂³	1	4	yes	complemented
240	C₄×Q₈×C₁₃	C₂³	1	4	yes	complemented
241	C₄×Q₈×C₁₃	C₂³	1	4	yes	complemented
242	C₄×D₄×C₁₃	C₂³	1	4	yes	—
243	C₄×D₄×C₁₃	C₂³	1	4	yes	—
244	C₄×D₄×C₁₃	C₂³	1	4	yes	—
245	C₄×D₄×C₁₃	C₂³	1	4	yes	—
246	C₄×D₄×C₁₃	C₂³	1	8	yes	—
247	C₄×D₄×C₁₃	C₂³	1	4	yes	—
248	C₄×D₄×C₁₃	C₂³	1	8	yes	—
249	C₄×D₄×C₁₃	C₂³	1	4	yes	—
250	C₄×D₄×C₁₃	C₂³	1	8	yes	—
251	C₄×D₄×C₁₃	C₂³	1	4	yes	—
252	C₄×D₄×C₁₃	C₂³	1	8	yes	—
253	C₄×D₄×C₁₃	C₂³	1	4	yes	—
254	C₄×D₄×C₁₃	C₂³	1	8	yes	—
255	C₄×D₄×C₁₃	C₂³	1	8	yes	—
256	C₄×D₄×C₁₃	C₂³	1	8	yes	—
257	C₄×D₄×C₁₃	C₂³	1	16	yes	—
258	C₄×D₄×C₁₃	C₂³	1	16	yes	—
259	C₄×D₄×C₁₃	C₂³	1	8	yes	—
260	C₄×D₄×C₁₃	C₂³	1	8	yes	—
261	C₄×D₄×C₁₃	C₂³	1	8	yes	—
262	C₄×D₄×C₁₃	C₂³	1	8	yes	—
263	C₄×D₄×C₁₃	C₂³	1	8	yes	—
264	C₄×D₄×C₁₃	C₂³	1	16	yes	complemented
265	C₄×D₄×C₁₃	C₂³	1	4	yes	complemented
266	C₄×D₄×C₁₃	C₂³	1	16	yes	complemented
267	C₄×D₄×C₁₃	C₂³	1	16	yes	complemented
268	C₄×D₄×C₁₃	C₂³	1	8	yes	complemented
269	C₄×D₄×C₁₃	C₂³	1	16	yes	complemented
270	C₄×D₄×C₁₃	C₂³	1	16	yes	complemented
271	C₄×D₄×C₁₃	C₂³	1	4	yes	complemented
272	C₄×D₄×C₁₃	C₂³	1	16	yes	complemented
273	C₄×D₄×C₁₃	C₂³	1	4	yes	complemented
274	C₄×D₄×C₁₃	C₂³	1	4	yes	complemented
275	C₄×D₄×C₁₃	C₂³	1	4	yes	complemented
276	C₄×D₄×C₁₃	C₂³	1	4	yes	complemented
277	C₁₃×#117	C₂³	1	4	yes	—
278	C₁₃×#117	C₂³	1	8	yes	—
279	C₁₃×#117	C₂³	1	4	yes	—
280	C₁₃×#117	C₂³	1	4	yes	—
281	C₁₃×#117	C₂³	1	8	yes	complemented
282	C₁₃×#117	C₂³	1	8	yes	complemented
283	C₁₃×#117	C₂³	1	8	yes	complemented
284	C₁₃×#117	C₂³	1	16	yes	complemented
285	C₁₃×#117	C₂³	1	8	yes	complemented
286	C₁₃×#117	C₂³	1	8	yes	complemented
287	C₁₃×#117	C₂³	1	8	yes	complemented
288	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
289	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
290	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
291	C₂×C₁₃×C₄⋊C₄	C₂³	1	4	yes	—
292	C₂×C₁₃×C₄⋊C₄	C₂³	1	4	yes	—
293	C₂×C₁₃×C₄⋊C₄	C₂³	1	4	yes	complemented
294	C₂×C₁₃×C₄⋊C₄	C₂³	1	4	yes	complemented
295	C₂×C₁₃×C₄⋊C₄	C₂³	1	8	yes	complemented
296	C₂×C₁₃×C₄⋊C₄	C₂³	1	8	yes	complemented
297	C₂×C₁₃×C₄⋊C₄	C₂³	1	8	yes	complemented
298	C₂×C₁₃×C₂²⋊C₄	C₂³	1	2	yes	—
299	C₂×C₁₃×C₂²⋊C₄	C₂³	1	2	yes	—
300	C₂×C₁₃×C₂²⋊C₄	C₂³	1	2	yes	—
301	C₂×C₁₃×C₂²⋊C₄	C₂³	1	2	yes	—
302	C₂×C₁₃×C₂²⋊C₄	C₂³	1	8	yes	—
303	C₂×C₁₃×C₂²⋊C₄	C₂³	1	8	yes	—
304	C₂×C₁₃×C₂²⋊C₄	C₂³	1	8	yes	—
305	C₂×C₁₃×C₂²⋊C₄	C₂³	1	8	yes	—
306	C₂×C₁₃×C₂²⋊C₄	C₂³	1	8	yes	—
307	C₂×C₁₃×C₂²⋊C₄	C₂³	1	8	yes	complemented
308	C₂×C₁₃×C₂²⋊C₄	C₂³	1	16	yes	complemented
309	C₂×C₁₃×C₂²⋊C₄	C₂³	1	8	yes	complemented
310	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
311	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
312	C₂×C₄²×C₁₃	C₂³	1	2	yes	—
313	C₂×C₄²×C₁₃	C₂³	1	2	yes	—
314	C₂×C₄²×C₁₃	C₂³	1	2	yes	—
315	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
316	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
317	C₂×C₄²×C₁₃	C₂³	1	2	yes	—
318	C₂×C₄²×C₁₃	C₂³	1	8	yes	complemented
319	C₂×C₄²×C₁₃	C₂³	1	8	yes	complemented
320	#62773	C₁₃	1	1	yes	maximal, characteristic, direct product factor, Sylow
321	C₂⁴×C₁₃	—	2	8	no	—
322	C₂⁴×C₁₃	—	4	4	no	—
323	C₂⁴×C₁₃	—	4	4	no	—
324	C₂⁴×C₁₃	C₂⁴	1	1	yes	characteristic
325	C₂⁴×C₁₃	C₂⁴	1	4	yes	—
326	C₂⁴×C₁₃	C₂⁴	1	4	yes	—
327	C₂⁴×C₁₃	C₂⁴	1	2	yes	—
328	C₂⁴×C₁₃	C₂⁴	1	8	yes	—
329	C₂⁴×C₁₃	C₂⁴	1	2	yes	—
330	C₁₃×#41	—	2	32	no	—
331	C₁₃×#41	—	2	16	no	—
332	C₁₃×#41	—	2	16	no	—
333	C₁₃×#41	—	4	16	no	—
334	C₁₃×#41	—	4	16	no	—
335	C₁₃×#41	—	4	8	no	—
336	C₁₃×#41	—	4	16	no	—
337	C₂×Q₈×C₁₃	—	4	8	no	—
338	C₂×Q₈×C₁₃	C₂⁴	1	4	yes	—
339	C₂×Q₈×C₁₃	C₂⁴	1	4	yes	—
340	C₂×Q₈×C₁₃	C₂⁴	1	4	yes	—
341	C₂×Q₈×C₁₃	C₂⁴	1	8	yes	—
342	C₂×D₄×C₁₃	—	2	8	no	—
343	C₂×D₄×C₁₃	—	2	32	no	—
344	C₂×D₄×C₁₃	—	2	16	no	—
345	C₂×D₄×C₁₃	—	2	16	no	—
346	C₂×D₄×C₁₃	—	2	32	no	—
347	C₂×D₄×C₁₃	—	2	4	no	—
348	C₂×D₄×C₁₃	—	4	8	no	—
349	C₂×D₄×C₁₃	—	4	16	no	—
350	C₂×D₄×C₁₃	—	4	16	no	—
351	C₂×D₄×C₁₃	#41	1	8	yes	complemented
352	C₂×D₄×C₁₃	C₂⁴	1	8	yes	—
353	C₂×D₄×C₁₃	C₂⁴	1	8	yes	—
354	C₂×D₄×C₁₃	C₂⁴	1	8	yes	—
355	C₂×D₄×C₁₃	C₂⁴	1	4	yes	—
356	C₂×D₄×C₁₃	C₂⁴	1	8	yes	—
357	C₂×D₄×C₁₃	C₂⁴	1	16	yes	—
358	C₂×D₄×C₁₃	C₂⁴	1	4	yes	—
359	C₂×D₄×C₁₃	C₂⁴	1	4	yes	—
360	C₂×D₄×C₁₃	C₂⁴	1	16	yes	—
361	C₂×D₄×C₁₃	C₂⁴	1	4	yes	—
362	C₂×D₄×C₁₃	C₂⁴	1	16	yes	—
363	C₂×D₄×C₁₃	C₂⁴	1	8	yes	—
364	C₂×D₄×C₁₃	C₂⁴	1	4	yes	—
365	C₂²×C₄×C₁₃	—	2	4	no	—
366	C₂²×C₄×C₁₃	—	2	4	no	—
367	C₂²×C₄×C₁₃	—	2	16	no	—
368	C₂²×C₄×C₁₃	—	4	4	no	—
369	C₂²×C₄×C₁₃	—	4	8	no	—
370	C₂²×C₄×C₁₃	—	4	4	no	—
371	C₂²×C₄×C₁₃	—	4	8	no	—
372	C₂²×C₄×C₁₃	—	4	4	no	—
373	C₂²×C₄×C₁₃	—	4	4	no	—
374	C₂²×C₄×C₁₃	—	4	16	no	—
375	C₂²×C₄×C₁₃	—	4	8	no	—
376	C₂²×C₄×C₁₃	—	4	4	no	—
377	C₂²×C₄×C₁₃	—	4	2	no	—
378	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
379	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
380	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
381	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
382	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
383	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
384	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
385	C₂²×C₄×C₁₃	C₂⁴	1	8	yes	—
386	C₂²×C₄×C₁₃	C₂⁴	1	8	yes	—
387	C₂²×C₄×C₁₃	C₂⁴	1	4	yes	—
388	C₂²×C₄×C₁₃	C₂⁴	1	4	yes	—
389	C₂²×C₄×C₁₃	C₂⁴	1	4	yes	—
390	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
391	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
392	C₂²×C₄×C₁₃	C₂⁴	1	4	yes	—
393	C₂²×C₄×C₁₃	C₂⁴	1	8	yes	—
394	C₂²×C₄×C₁₃	C₂⁴	1	4	yes	—
395	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
396	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
397	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
398	C₂²×C₄×C₁₃	C₂⁴	1	8	yes	—
399	C₂²×C₄×C₁₃	C₂⁴	1	8	yes	—
400	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
401	C₂²×C₄×C₁₃	C₂⁴	1	4	yes	—
402	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
403	C₂²×C₄×C₁₃	C₂⁴	1	8	yes	—
404	C₂²×C₄×C₁₃	C₂⁴	1	4	yes	—
405	C₂²×C₄×C₁₃	C₂⁴	1	4	yes	—
406	C₂²×C₄×C₁₃	C₂⁴	1	16	yes	—
407	C₂²×C₄×C₁₃	C₂⁴	1	4	yes	—
408	C₂²×C₄×C₁₃	C₂⁴	1	4	yes	—
409	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
410	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
411	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
412	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
413	C₁₃×C₄⋊C₄	C₂⁴	1	8	yes	—
414	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
415	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
416	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
417	C₁₃×C₄⋊C₄	C₂⁴	1	8	yes	—
418	C₁₃×C₄⋊C₄	C₂⁴	1	16	yes	—
419	C₁₃×C₄⋊C₄	C₂⁴	1	8	yes	—
420	C₁₃×C₄⋊C₄	C₂⁴	1	8	yes	—
421	C₁₃×C₄⋊C₄	C₂⁴	1	8	yes	—
422	C₁₃×C₄⋊C₄	C₂⁴	1	16	yes	—
423	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
424	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
425	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
426	C₁₃×C₄⋊C₄	C₂⁴	1	8	yes	—
427	C₁₃×C₄⋊C₄	C₂⁴	1	8	yes	—
428	C₁₃×C₄⋊C₄	C₂⁴	1	8	yes	—
429	C₁₃×C₄⋊C₄	C₂⁴	1	8	yes	—
430	C₁₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
431	C₁₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
432	C₁₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
433	C₁₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
434	C₁₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
435	C₁₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
436	C₁₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
437	C₁₃×C₂²⋊C₄	C₂⁴	1	16	yes	—
438	C₁₃×C₂²⋊C₄	C₂⁴	1	16	yes	—
439	C₁₃×C₂²⋊C₄	C₂⁴	1	16	yes	—
440	C₁₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
441	C₁₃×C₂²⋊C₄	C₂⁴	1	16	yes	—
442	C₁₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
443	C₁₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
444	C₁₃×C₂²⋊C₄	C₂⁴	1	16	yes	—
445	C₁₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
446	C₁₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
447	C₁₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
448	C₄²×C₁₃	C₂⁴	1	2	yes	—
449	C₄²×C₁₃	C₂⁴	1	2	yes	—
450	C₄²×C₁₃	C₂⁴	1	2	yes	—
451	C₄²×C₁₃	C₂⁴	1	2	yes	—
452	C₄²×C₁₃	C₂⁴	1	2	yes	—
453	C₄²×C₁₃	C₂⁴	1	2	yes	—
454	C₄²×C₁₃	C₂⁴	1	16	yes	—
455	C₄²×C₁₃	C₂⁴	1	8	yes	—
456	C₄²×C₁₃	C₂⁴	1	8	yes	—
457	C₄²×C₁₃	C₂⁴	1	2	yes	—
458	C₄²×C₁₃	C₂⁴	1	2	yes	—
459	C₄²×C₁₃	C₂⁴	1	8	yes	—
460	#3520	C₂×C₁₃	1	4	yes	complemented
461	#3519	C₂×C₁₃	1	4	yes	complemented
462	#3513	C₂×C₁₃	1	8	yes	complemented
463	#3506	C₂×C₁₃	1	2	yes	complemented
464	#3505	C₂×C₁₃	1	4	yes	complemented
465	#3501	C₂×C₁₃	1	1	yes	characteristic, complemented
466	#3496	C₂×C₁₃	1	1	yes	characteristic, complemented
467	#3492	C₂×C₁₃	1	2	yes	complemented
468	#3490	C₂×C₁₃	1	4	yes	complemented
469	#3484	C₂×C₁₃	1	2	yes	complemented
470	#3481	C₂×C₁₃	1	8	yes	complemented
471	#3475	C₂×C₁₃	1	4	yes	complemented
472	D₄×#41	C₂×C₁₃	1	4	yes	complemented
473	#3460	C₂×C₁₃	1	2	yes	complemented
474	#3459	C₂×C₁₃	1	4	yes	complemented
475	#3444	C₂×C₁₃	1	2	yes	complemented
476	C₂×#525	C₂×C₁₃	1	4	yes	complemented
477	C₄×H(5,𝔽₂)	C₂×C₁₃	1	2	yes	complemented
478	C₂²×C₄×D₄	C₂×C₁₃	1	1	yes	characteristic, complemented
479	C₂³×C₁₃	—	2	2	no	—
480	C₂³×C₁₃	—	2	2	no	—
481	C₂³×C₁₃	—	2	2	no	—
482	C₂³×C₁₃	—	2	8	no	—
483	C₂³×C₁₃	—	2	8	no	—
484	C₂³×C₁₃	—	2	4	no	—
485	C₂³×C₁₃	—	2	8	no	—
486	C₂³×C₁₃	—	2	8	no	—
487	C₂³×C₁₃	—	2	16	no	—
488	C₂³×C₁₃	—	4	2	no	—
489	C₂³×C₁₃	—	4	4	no	—
490	C₂³×C₁₃	—	4	2	no	—
491	C₂³×C₁₃	—	4	2	no	—
492	C₂³×C₁₃	—	4	4	no	—
493	C₂³×C₁₃	—	4	2	no	—
494	C₂³×C₁₃	—	4	8	no	—
495	C₂³×C₁₃	—	4	8	no	—
496	C₂³×C₁₃	—	4	32	no	—
497	C₂³×C₁₃	C₂×#41	1	8	yes	complemented
498	C₂³×C₁₃	C₂⁵	1	4	yes	—
499	C₂³×C₁₃	C₂⁵	1	8	yes	—
500	C₂³×C₁₃	C₂⁵	1	4	yes	—
501	C₂³×C₁₃	C₂⁵	1	1	yes	characteristic
502	C₂³×C₁₃	C₂⁵	1	1	yes	characteristic
503	C₂³×C₁₃	C₂⁵	1	1	yes	characteristic
504	Q₈×C₁₃	—	2	8	no	—
505	Q₈×C₁₃	—	2	8	no	—
506	Q₈×C₁₃	—	4	8	no	—
507	Q₈×C₁₃	—	4	4	no	—
508	D₄×C₁₃	—	2	16	no	—
509	D₄×C₁₃	—	2	32	no	—
510	D₄×C₁₃	—	2	16	no	—
511	D₄×C₁₃	—	2	16	no	—
512	D₄×C₁₃	—	2	16	no	—
513	D₄×C₁₃	—	2	8	no	—
514	D₄×C₁₃	—	2	8	no	—
515	D₄×C₁₃	—	2	8	no	—
516	D₄×C₁₃	—	4	16	no	—
517	D₄×C₁₃	—	4	8	no	—
518	D₄×C₁₃	—	4	16	no	—
519	D₄×C₁₃	—	4	4	no	—
520	D₄×C₁₃	C₂×#41	1	16	yes	complemented
521	C₂×C₄×C₁₃	—	2	2	no	—
522	C₂×C₄×C₁₃	—	2	16	no	—
523	C₂×C₄×C₁₃	—	2	2	no	—
524	C₂×C₄×C₁₃	—	2	8	no	—
525	C₂×C₄×C₁₃	—	2	4	no	—
526	C₂×C₄×C₁₃	—	2	4	no	—
527	C₂×C₄×C₁₃	—	2	4	no	—
528	C₂×C₄×C₁₃	—	2	16	no	—
529	C₂×C₄×C₁₃	—	2	2	no	—
530	C₂×C₄×C₁₃	—	2	2	no	—
531	C₂×C₄×C₁₃	—	2	8	no	—
532	C₂×C₄×C₁₃	—	2	2	no	—
533	C₂×C₄×C₁₃	—	2	2	no	—
534	C₂×C₄×C₁₃	—	2	8	no	—
535	C₂×C₄×C₁₃	—	2	8	no	—
536	C₂×C₄×C₁₃	—	2	8	no	—
537	C₂×C₄×C₁₃	—	2	16	no	—
538	C₂×C₄×C₁₃	—	4	2	no	—
539	C₂×C₄×C₁₃	—	4	4	no	—
540	C₂×C₄×C₁₃	—	4	4	no	—
541	C₂×C₄×C₁₃	—	4	4	no	—
542	C₂×C₄×C₁₃	—	4	4	no	—
543	C₂×C₄×C₁₃	—	4	4	no	—
544	C₂×C₄×C₁₃	—	4	2	no	—
545	C₂×C₄×C₁₃	—	4	1	no	—
546	C₂×C₄×C₁₃	—	4	2	no	—
547	C₂×C₄×C₁₃	—	4	1	no	—
548	C₂×C₄×C₁₃	—	4	8	no	—
549	C₂×C₄×C₁₃	—	4	16	no	—
550	C₂×C₄×C₁₃	—	4	8	no	—
551	C₂×C₄×C₁₃	—	4	8	no	—
552	C₂×C₄×C₁₃	C₂×#41	1	4	yes	complemented
553	C₂×C₄×C₁₃	H(5,𝔽₂)	1	4	yes	complemented
554	C₂×C₄×C₁₃	C₂⁵	1	2	yes	—
555	C₂×C₄×C₁₃	C₂⁵	1	2	yes	—
556	C₂×C₄×C₁₃	C₂⁵	1	8	yes	—
557	C₂×C₄×C₁₃	C₂⁵	1	8	yes	—
558	C₂×C₄×C₁₃	C₂⁵	1	2	yes	—
559	C₂×C₄×C₁₃	C₂⁵	1	1	yes	characteristic
560	C₂×C₄×C₁₃	C₂⁵	1	1	yes	characteristic
561	C₂×C₄×C₁₃	C₂⁵	1	4	yes	—
562	C₂×C₄×C₁₃	C₂⁵	1	8	yes	—
563	C₂×C₄×C₁₃	C₂⁵	1	4	yes	—
564	C₂×C₄×C₁₃	C₂⁵	1	2	yes	—
565	C₂×C₄×C₁₃	C₂⁵	1	1	yes	characteristic
566	C₂×C₄×C₁₃	C₂⁵	1	1	yes	characteristic
567	C₂×H(5,𝔽₂)	C₂²×C₁₃	1	2	yes	—
568	C₂²×#41	C₂²×C₁₃	1	4	yes	complemented
569	C₂³×D₄	C₂²×C₁₃	1	1	yes	characteristic
570	C₂⁴×C₄	C₂²×C₁₃	1	2	yes	complemented
571	#559	C₂²×C₁₃	1	8	yes	complemented
572	#556	C₂²×C₁₃	1	4	yes	complemented
573	#555	C₂²×C₁₃	1	4	yes	complemented
574	#554	C₂²×C₁₃	1	8	yes	complemented
575	#554	C₂²×C₁₃	1	4	yes	complemented
576	#554	C₂²×C₁₃	1	8	yes	complemented
577	#553	C₂²×C₁₃	1	8	yes	complemented
578	#553	C₂²×C₁₃	1	8	yes	complemented
579	#553	C₂²×C₁₃	1	16	yes	complemented
580	#553	C₂²×C₁₃	1	8	yes	complemented
581	#552	C₂²×C₁₃	1	8	yes	complemented
582	#552	C₂²×C₁₃	1	8	yes	complemented
583	#551	C₂²×C₁₃	1	16	yes	complemented
584	#551	C₂²×C₁₃	1	16	yes	complemented
585	#551	C₂²×C₁₃	1	16	yes	complemented
586	#550	C₂²×C₁₃	1	4	yes	complemented
587	D₄×Q₈	C₂²×C₁₃	1	4	yes	complemented
588	#548	C₂²×C₁₃	1	8	yes	complemented
589	#547	C₂²×C₁₃	1	8	yes	complemented
590	#547	C₂²×C₁₃	1	4	yes	complemented
591	#547	C₂²×C₁₃	1	4	yes	complemented
592	#546	C₂²×C₁₃	1	8	yes	complemented
593	#546	C₂²×C₁₃	1	8	yes	complemented
594	#546	C₂²×C₁₃	1	16	yes	complemented
595	#546	C₂²×C₁₃	1	16	yes	complemented
596	#546	C₂²×C₁₃	1	8	yes	complemented
597	#546	C₂²×C₁₃	1	8	yes	complemented
598	D₄²	C₂²×C₁₃	1	8	yes	complemented
599	D₄²	C₂²×C₁₃	1	8	yes	complemented
600	D₄²	C₂²×C₁₃	1	4	yes	complemented
601	#544	C₂²×C₁₃	1	2	yes	complemented
602	#543	C₂²×C₁₃	1	4	yes	complemented
603	#542	C₂²×C₁₃	1	8	yes	complemented
604	#540	C₂²×C₁₃	1	8	yes	complemented
605	#539	C₂²×C₁₃	1	8	yes	complemented
606	#539	C₂²×C₁₃	1	16	yes	complemented
607	#538	C₂²×C₁₃	1	8	yes	complemented
608	#538	C₂²×C₁₃	1	8	yes	complemented
609	#538	C₂²×C₁₃	1	16	yes	complemented
610	#537	C₂²×C₁₃	1	2	yes	complemented
611	#535	C₂²×C₁₃	1	4	yes	complemented
612	#534	C₂²×C₁₃	1	8	yes	complemented
613	#534	C₂²×C₁₃	1	4	yes	complemented
614	#533	C₂²×C₁₃	1	2	yes	complemented
615	#533	C₂²×C₁₃	1	2	yes	complemented
616	#533	C₂²×C₁₃	1	2	yes	complemented
617	#532	C₂²×C₁₃	1	2	yes	complemented
618	#532	C₂²×C₁₃	1	2	yes	complemented
619	#532	C₂²×C₁₃	1	2	yes	complemented
620	#532	C₂²×C₁₃	1	8	yes	complemented
621	#529	C₂²×C₁₃	1	4	yes	complemented
622	#529	C₂²×C₁₃	1	4	yes	complemented
623	#529	C₂²×C₁₃	1	4	yes	complemented
624	#529	C₂²×C₁₃	1	4	yes	complemented
625	#529	C₂²×C₁₃	1	4	yes	complemented
626	#529	C₂²×C₁₃	1	4	yes	complemented
627	#529	C₂²×C₁₃	1	16	yes	complemented
628	#529	C₂²×C₁₃	1	8	yes	complemented
629	#525	C₂²×C₁₃	1	4	yes	complemented
630	#525	C₂²×C₁₃	1	8	yes	complemented
631	#525	C₂²×C₁₃	1	4	yes	complemented
632	#525	C₂²×C₁₃	1	4	yes	complemented
633	#525	C₂²×C₁₃	1	8	yes	complemented
634	#525	C₂²×C₁₃	1	8	yes	complemented
635	#525	C₂²×C₁₃	1	8	yes	complemented
636	#525	C₂²×C₁₃	1	8	yes	complemented
637	#525	C₂²×C₁₃	1	8	yes	complemented
638	#525	C₂²×C₁₃	1	8	yes	complemented
639	#525	C₂²×C₁₃	1	16	yes	complemented
640	C₂×#123	C₂²×C₁₃	1	8	yes	complemented
641	C₂×C₂²⋊Q₈	C₂²×C₁₃	1	4	yes	complemented
642	C₂×C₂²⋊Q₈	C₂²×C₁₃	1	4	yes	complemented
643	C₂×#121	C₂²×C₁₃	1	4	yes	complemented
644	C₂×#121	C₂²×C₁₃	1	4	yes	complemented
645	C₂×#120	C₂²×C₁₃	1	8	yes	complemented
646	#520	C₂²×C₁₃	1	4	yes	complemented
647	#520	C₂²×C₁₃	1	8	yes	complemented
648	#518	C₂²×C₁₃	1	2	yes	—
649	#518	C₂²×C₁₃	1	8	yes	complemented
650	#518	C₂²×C₁₃	1	8	yes	complemented
651	C₄×#41	C₂²×C₁₃	1	4	yes	complemented
652	C₄×#41	C₂²×C₁₃	1	4	yes	complemented
653	C₄×#41	C₂²×C₁₃	1	4	yes	complemented
654	C₄×#41	C₂²×C₁₃	1	8	yes	complemented
655	C₂×C₄×D₄	C₂²×C₁₃	1	1	yes	characteristic
656	C₂×C₄×D₄	C₂²×C₁₃	1	1	yes	characteristic
657	C₂×C₄×D₄	C₂²×C₁₃	1	2	yes	complemented
658	C₂×C₄×D₄	C₂²×C₁₃	1	1	yes	characteristic, complemented
659	C₂×C₄×D₄	C₂²×C₁₃	1	4	yes	complemented
660	C₂×C₄×D₄	C₂²×C₁₃	1	4	yes	complemented
661	C₂×C₄×D₄	C₂²×C₁₃	1	2	yes	complemented
662	C₂×C₄×D₄	C₂²×C₁₃	1	1	yes	characteristic, complemented
663	C₂×C₄×D₄	C₂²×C₁₃	1	4	yes	complemented
664	C₂×C₄×D₄	C₂²×C₁₃	1	4	yes	complemented
665	C₂×C₄×D₄	C₂²×C₁₃	1	8	yes	complemented
666	C₂×C₄×D₄	C₂²×C₁₃	1	8	yes	complemented
667	C₂×C₄×D₄	C₂²×C₁₃	1	8	yes	complemented
668	C₂×#117	C₂²×C₁₃	1	4	yes	complemented
669	C₂²×C₄⋊C₄	C₂²×C₁₃	1	1	yes	characteristic, complemented
670	C₂²×C₂²⋊C₄	C₂²×C₁₃	1	2	yes	complemented
671	C₂²×C₄²	C₂²×C₁₃	1	1	yes	characteristic, complemented
672	C₂²×C₁₃	—	2	8	no	—
673	C₂²×C₁₃	—	2	1	no	—
674	C₂²×C₁₃	—	2	1	no	—
675	C₂²×C₁₃	—	2	1	no	—
676	C₂²×C₁₃	—	2	1	no	—
677	C₂²×C₁₃	—	2	4	no	—
678	C₂²×C₁₃	—	2	1	no	—
679	C₂²×C₁₃	—	2	1	no	—
680	C₂²×C₁₃	—	2	4	no	—
681	C₂²×C₁₃	—	2	8	no	—
682	C₂²×C₁₃	—	2	4	no	—
683	C₂²×C₁₃	—	2	4	no	—
684	C₂²×C₁₃	—	2	8	no	—
685	C₂²×C₁₃	—	2	8	no	—
686	C₂²×C₁₃	—	2	4	no	—
687	C₂²×C₁₃	—	4	8	no	—
688	C₂²×C₁₃	—	4	16	no	—
689	C₂²×C₁₃	—	4	16	no	—
690	C₂²×C₁₃	—	4	8	no	—
691	C₂²×C₁₃	—	8	16	no	—
692	C₂²×C₁₃	C₂²×#41	1	8	yes	—
693	C₂²×C₁₃	C₂²×#41	1	2	yes	—
694	C₂²×C₁₃	C₂×H(5,𝔽₂)	1	2	yes	—
695	C₂²×C₁₃	#585	1	2	yes	—
696	C₂²×C₁₃	C₂⁶	1	1	yes	characteristic
697	C₄×C₁₃	—	2	2	no	—
698	C₄×C₁₃	—	2	8	no	—
699	C₄×C₁₃	—	2	1	no	—
700	C₄×C₁₃	—	2	1	no	—
701	C₄×C₁₃	—	2	4	no	—
702	C₄×C₁₃	—	2	4	no	—
703	C₄×C₁₃	—	2	8	no	—
704	C₄×C₁₃	—	2	2	no	—
705	C₄×C₁₃	—	2	2	no	—
706	C₄×C₁₃	—	2	8	no	—
707	C₄×C₁₃	C₂²×#41	1	4	yes	—
708	C₄×C₁₃	C₂×H(5,𝔽₂)	1	2	yes	—
709	C₄×C₁₃	C₂×H(5,𝔽₂)	1	2	yes	—
710	C₂⁵	C₂³×C₁₃	1	2	yes	—
711	H(5,𝔽₂)	—	2	16	no	—
712	C₂×#41	—	4	16	no	—
713	C₂×#41	C₂³×C₁₃	1	4	yes	—
714	C₂×#41	C₂³×C₁₃	1	8	yes	—
715	C₂×#41	C₂³×C₁₃	1	4	yes	—
716	C₂×#41	C₂³×C₁₃	1	4	yes	—
717	C₂×#41	C₂³×C₁₃	1	8	yes	—
718	C₂×#41	C₂³×C₁₃	1	8	yes	complemented
719	C₂×#41	C₂³×C₁₃	1	8	yes	complemented
720	C₂²×Q₈	C₂³×C₁₃	1	4	yes	complemented
721	C₂²×D₄	—	2	8	no	—
722	C₂²×D₄	C₂³×C₁₃	1	2	yes	—
723	C₂²×D₄	C₂³×C₁₃	1	1	yes	characteristic
724	C₂²×D₄	C₂³×C₁₃	1	4	yes	—
725	C₂²×D₄	C₂³×C₁₃	1	4	yes	—
726	C₂²×D₄	C₂³×C₁₃	1	8	yes	—
727	C₂²×D₄	C₂³×C₁₃	1	8	yes	—
728	C₂²×D₄	C₂³×C₁₃	1	8	yes	—
729	C₂²×D₄	C₂³×C₁₃	1	8	yes	—
730	C₂²×D₄	C₂³×C₁₃	1	1	yes	characteristic
731	C₂²×D₄	C₂³×C₁₃	1	4	yes	complemented
732	C₂³×C₄	—	4	8	no	—
733	C₂³×C₄	C₂³×C₁₃	1	1	yes	characteristic
734	C₂³×C₄	C₂³×C₁₃	1	4	yes	—
735	C₂³×C₄	C₂³×C₁₃	1	1	yes	characteristic
736	C₂³×C₄	C₂³×C₁₃	1	1	yes	characteristic
737	C₂³×C₄	C₂³×C₁₃	1	2	yes	—
738	C₂³×C₄	C₂³×C₁₃	1	2	yes	—
739	C₂³×C₄	C₂³×C₁₃	1	2	yes	—
740	C₂³×C₄	C₂³×C₁₃	1	4	yes	—
741	C₂³×C₄	C₂³×C₁₃	1	4	yes	—
742	C₂³×C₄	C₂³×C₁₃	1	4	yes	—
743	C₂³×C₄	C₂³×C₁₃	1	2	yes	—
744	C₂³×C₄	C₂³×C₁₃	1	2	yes	—
745	C₂³×C₄	C₂³×C₁₃	1	8	yes	complemented
746	C₄⋊Q₈	C₂³×C₁₃	1	2	yes	complemented
747	C₄⋊Q₈	C₂³×C₁₃	1	2	yes	complemented
748	C₄⋊Q₈	C₂³×C₁₃	1	2	yes	complemented
749	C₄⋊Q₈	C₂³×C₁₃	1	8	yes	complemented
750	#127	C₂³×C₁₃	1	8	yes	—
751	#127	C₂³×C₁₃	1	2	yes	complemented
752	#126	C₂³×C₁₃	1	8	yes	complemented
753	#126	C₂³×C₁₃	1	8	yes	complemented
754	#126	C₂³×C₁₃	1	16	yes	complemented
755	#126	C₂³×C₁₃	1	16	yes	complemented
756	#126	C₂³×C₁₃	1	16	yes	complemented
757	#125	C₂³×C₁₃	1	4	yes	complemented
758	#125	C₂³×C₁₃	1	4	yes	complemented
759	#125	C₂³×C₁₃	1	4	yes	complemented
760	#125	C₂³×C₁₃	1	16	yes	complemented
761	#125	C₂³×C₁₃	1	8	yes	complemented
762	#124	C₂³×C₁₃	1	8	yes	—
763	#124	C₂³×C₁₃	1	4	yes	complemented
764	#124	C₂³×C₁₃	1	4	yes	complemented
765	#124	C₂³×C₁₃	1	4	yes	complemented
766	#124	C₂³×C₁₃	1	16	yes	complemented
767	#124	C₂³×C₁₃	1	16	yes	complemented
768	#123	C₂³×C₁₃	1	8	yes	—
769	#123	C₂³×C₁₃	1	16	yes	—
770	#123	C₂³×C₁₃	1	8	yes	—
771	#123	C₂³×C₁₃	1	8	yes	—
772	#123	C₂³×C₁₃	1	16	yes	—
773	#123	C₂³×C₁₃	1	16	yes	complemented
774	#123	C₂³×C₁₃	1	16	yes	complemented
775	#123	C₂³×C₁₃	1	16	yes	complemented
776	#123	C₂³×C₁₃	1	16	yes	complemented
777	#123	C₂³×C₁₃	1	16	yes	complemented
778	#123	C₂³×C₁₃	1	16	yes	complemented
779	C₂²⋊Q₈	C₂³×C₁₃	1	4	yes	—
780	C₂²⋊Q₈	C₂³×C₁₃	1	4	yes	—
781	C₂²⋊Q₈	C₂³×C₁₃	1	8	yes	—
782	C₂²⋊Q₈	C₂³×C₁₃	1	8	yes	—
783	C₂²⋊Q₈	C₂³×C₁₃	1	4	yes	—
784	C₂²⋊Q₈	C₂³×C₁₃	1	4	yes	—
785	C₂²⋊Q₈	C₂³×C₁₃	1	4	yes	—
786	C₂²⋊Q₈	C₂³×C₁₃	1	4	yes	—
787	C₂²⋊Q₈	C₂³×C₁₃	1	8	yes	complemented
788	C₂²⋊Q₈	C₂³×C₁₃	1	8	yes	complemented
789	C₂²⋊Q₈	C₂³×C₁₃	1	8	yes	complemented
790	C₂²⋊Q₈	C₂³×C₁₃	1	8	yes	complemented
791	C₂²⋊Q₈	C₂³×C₁₃	1	16	yes	complemented
792	C₂²⋊Q₈	C₂³×C₁₃	1	16	yes	complemented
793	C₂²⋊Q₈	C₂³×C₁₃	1	8	yes	complemented
794	C₂²⋊Q₈	C₂³×C₁₃	1	16	yes	complemented
795	#121	C₂³×C₁₃	1	4	yes	—
796	#121	C₂³×C₁₃	1	4	yes	—
797	#121	C₂³×C₁₃	1	8	yes	—
798	#121	C₂³×C₁₃	1	8	yes	—
799	#121	C₂³×C₁₃	1	4	yes	—
800	#121	C₂³×C₁₃	1	4	yes	—
801	#121	C₂³×C₁₃	1	4	yes	—
802	#121	C₂³×C₁₃	1	4	yes	—
803	#121	C₂³×C₁₃	1	16	yes	—
804	#121	C₂³×C₁₃	1	16	yes	—
805	#121	C₂³×C₁₃	1	8	yes	—
806	#121	C₂³×C₁₃	1	8	yes	—
807	#121	C₂³×C₁₃	1	8	yes	complemented
808	#121	C₂³×C₁₃	1	8	yes	complemented
809	#121	C₂³×C₁₃	1	8	yes	complemented
810	#121	C₂³×C₁₃	1	8	yes	complemented
811	#121	C₂³×C₁₃	1	16	yes	complemented
812	#121	C₂³×C₁₃	1	8	yes	complemented
813	#121	C₂³×C₁₃	1	16	yes	complemented
814	#120	C₂³×C₁₃	1	8	yes	—
815	#120	C₂³×C₁₃	1	16	yes	—
816	#120	C₂³×C₁₃	1	16	yes	—
817	#120	C₂³×C₁₃	1	16	yes	—
818	#120	C₂³×C₁₃	1	16	yes	—
819	#120	C₂³×C₁₃	1	16	yes	complemented
820	C₄×Q₈	C₂³×C₁₃	1	4	yes	complemented
821	C₄×Q₈	C₂³×C₁₃	1	4	yes	complemented
822	C₄×Q₈	C₂³×C₁₃	1	8	yes	complemented
823	C₄×Q₈	C₂³×C₁₃	1	4	yes	complemented
824	C₄×Q₈	C₂³×C₁₃	1	4	yes	complemented
825	C₄×Q₈	C₂³×C₁₃	1	4	yes	complemented
826	C₄×Q₈	C₂³×C₁₃	1	4	yes	complemented
827	C₄×D₄	C₂³×C₁₃	1	4	yes	—
828	C₄×D₄	C₂³×C₁₃	1	4	yes	—
829	C₄×D₄	C₂³×C₁₃	1	4	yes	—
830	C₄×D₄	C₂³×C₁₃	1	4	yes	—
831	C₄×D₄	C₂³×C₁₃	1	8	yes	—
832	C₄×D₄	C₂³×C₁₃	1	4	yes	—
833	C₄×D₄	C₂³×C₁₃	1	8	yes	—
834	C₄×D₄	C₂³×C₁₃	1	4	yes	—
835	C₄×D₄	C₂³×C₁₃	1	8	yes	—
836	C₄×D₄	C₂³×C₁₃	1	4	yes	—
837	C₄×D₄	C₂³×C₁₃	1	8	yes	—
838	C₄×D₄	C₂³×C₁₃	1	4	yes	—
839	C₄×D₄	C₂³×C₁₃	1	8	yes	—
840	C₄×D₄	C₂³×C₁₃	1	8	yes	—
841	C₄×D₄	C₂³×C₁₃	1	8	yes	—
842	C₄×D₄	C₂³×C₁₃	1	16	yes	—
843	C₄×D₄	C₂³×C₁₃	1	16	yes	—
844	C₄×D₄	C₂³×C₁₃	1	8	yes	—
845	C₄×D₄	C₂³×C₁₃	1	8	yes	—
846	C₄×D₄	C₂³×C₁₃	1	8	yes	—
847	C₄×D₄	C₂³×C₁₃	1	8	yes	—
848	C₄×D₄	C₂³×C₁₃	1	8	yes	—
849	C₄×D₄	C₂³×C₁₃	1	16	yes	complemented
850	C₄×D₄	C₂³×C₁₃	1	4	yes	complemented
851	C₄×D₄	C₂³×C₁₃	1	16	yes	complemented
852	C₄×D₄	C₂³×C₁₃	1	16	yes	complemented
853	C₄×D₄	C₂³×C₁₃	1	8	yes	complemented
854	C₄×D₄	C₂³×C₁₃	1	16	yes	complemented
855	C₄×D₄	C₂³×C₁₃	1	16	yes	complemented
856	C₄×D₄	C₂³×C₁₃	1	4	yes	complemented
857	C₄×D₄	C₂³×C₁₃	1	16	yes	complemented
858	C₄×D₄	C₂³×C₁₃	1	4	yes	complemented
859	C₄×D₄	C₂³×C₁₃	1	4	yes	complemented
860	C₄×D₄	C₂³×C₁₃	1	4	yes	complemented
861	C₄×D₄	C₂³×C₁₃	1	4	yes	complemented
862	#117	C₂³×C₁₃	1	4	yes	—
863	#117	C₂³×C₁₃	1	8	yes	—
864	#117	C₂³×C₁₃	1	4	yes	—
865	#117	C₂³×C₁₃	1	4	yes	—
866	#117	C₂³×C₁₃	1	8	yes	complemented
867	#117	C₂³×C₁₃	1	8	yes	complemented
868	#117	C₂³×C₁₃	1	8	yes	complemented
869	#117	C₂³×C₁₃	1	16	yes	complemented
870	#117	C₂³×C₁₃	1	8	yes	complemented
871	#117	C₂³×C₁₃	1	8	yes	complemented
872	#117	C₂³×C₁₃	1	8	yes	complemented
873	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
874	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
875	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
876	C₂×C₄⋊C₄	C₂³×C₁₃	1	4	yes	—
877	C₂×C₄⋊C₄	C₂³×C₁₃	1	4	yes	—
878	C₂×C₄⋊C₄	C₂³×C₁₃	1	4	yes	complemented
879	C₂×C₄⋊C₄	C₂³×C₁₃	1	4	yes	complemented
880	C₂×C₄⋊C₄	C₂³×C₁₃	1	8	yes	complemented
881	C₂×C₄⋊C₄	C₂³×C₁₃	1	8	yes	complemented
882	C₂×C₄⋊C₄	C₂³×C₁₃	1	8	yes	complemented
883	C₂×C₂²⋊C₄	C₂³×C₁₃	1	2	yes	—
884	C₂×C₂²⋊C₄	C₂³×C₁₃	1	2	yes	—
885	C₂×C₂²⋊C₄	C₂³×C₁₃	1	2	yes	—
886	C₂×C₂²⋊C₄	C₂³×C₁₃	1	2	yes	—
887	C₂×C₂²⋊C₄	C₂³×C₁₃	1	8	yes	—
888	C₂×C₂²⋊C₄	C₂³×C₁₃	1	8	yes	—
889	C₂×C₂²⋊C₄	C₂³×C₁₃	1	8	yes	—
890	C₂×C₂²⋊C₄	C₂³×C₁₃	1	8	yes	—
891	C₂×C₂²⋊C₄	C₂³×C₁₃	1	8	yes	—
892	C₂×C₂²⋊C₄	C₂³×C₁₃	1	8	yes	complemented
893	C₂×C₂²⋊C₄	C₂³×C₁₃	1	16	yes	complemented
894	C₂×C₂²⋊C₄	C₂³×C₁₃	1	8	yes	complemented
895	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
896	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
897	C₂×C₄²	C₂³×C₁₃	1	2	yes	—
898	C₂×C₄²	C₂³×C₁₃	1	2	yes	—
899	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
900	C₂×C₄²	C₂³×C₁₃	1	2	yes	—
901	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
902	C₂×C₄²	C₂³×C₁₃	1	2	yes	—
903	C₂×C₄²	C₂³×C₁₃	1	8	yes	complemented
904	C₂×C₄²	C₂³×C₁₃	1	8	yes	complemented
905	C₂×C₁₃	—	2	2	no	—
906	C₂×C₁₃	—	2	2	no	—
907	C₂×C₁₃	—	2	2	no	—
908	C₂×C₁₃	—	2	8	no	—
909	C₂×C₁₃	—	4	4	no	—
910	C₂×C₁₃	—	4	8	no	—
911	C₂×C₁₃	C₂³×#41	1	1	yes	characteristic
912	C₂×C₁₃	C₂²×H(5,𝔽₂)	1	1	yes	characteristic
913	C₂×C₁₃	C₂×#585	1	1	yes	characteristic
914	C₂⁴	—	2	8	no	—
915	C₂⁴	—	4	4	no	—
916	C₂⁴	—	4	4	no	—
917	C₂⁴	C₂⁴×C₁₃	1	1	yes	characteristic
918	C₂⁴	C₂⁴×C₁₃	1	4	yes	—
919	C₂⁴	C₂⁴×C₁₃	1	4	yes	—
920	C₂⁴	C₂⁴×C₁₃	1	2	yes	—
921	C₂⁴	C₂⁴×C₁₃	1	8	yes	—
922	C₂⁴	C₂⁴×C₁₃	1	2	yes	—
923	#41	—	2	32	no	—
924	#41	—	2	16	no	—
925	#41	—	2	16	no	—
926	#41	—	4	16	no	—
927	#41	—	4	16	no	—
928	#41	—	4	8	no	—
929	#41	—	4	16	no	—
930	C₂×Q₈	—	4	8	no	—
931	C₂×Q₈	C₂⁴×C₁₃	1	4	yes	—
932	C₂×Q₈	C₂⁴×C₁₃	1	4	yes	—
933	C₂×Q₈	C₂⁴×C₁₃	1	4	yes	—
934	C₂×Q₈	C₂⁴×C₁₃	1	8	yes	—
935	C₂×D₄	—	2	8	no	—
936	C₂×D₄	—	2	32	no	—
937	C₂×D₄	—	2	16	no	—
938	C₂×D₄	—	2	16	no	—
939	C₂×D₄	—	2	32	no	—
940	C₂×D₄	—	2	4	no	—
941	C₂×D₄	—	4	8	no	—
942	C₂×D₄	—	4	16	no	—
943	C₂×D₄	—	4	16	no	—
944	C₂×D₄	C₁₃×#41	1	8	yes	complemented
945	C₂×D₄	C₂⁴×C₁₃	1	8	yes	—
946	C₂×D₄	C₂⁴×C₁₃	1	8	yes	—
947	C₂×D₄	C₂⁴×C₁₃	1	8	yes	—
948	C₂×D₄	C₂⁴×C₁₃	1	4	yes	—
949	C₂×D₄	C₂⁴×C₁₃	1	8	yes	—
950	C₂×D₄	C₂⁴×C₁₃	1	16	yes	—
951	C₂×D₄	C₂⁴×C₁₃	1	4	yes	—
952	C₂×D₄	C₂⁴×C₁₃	1	4	yes	—
953	C₂×D₄	C₂⁴×C₁₃	1	16	yes	—
954	C₂×D₄	C₂⁴×C₁₃	1	4	yes	—
955	C₂×D₄	C₂⁴×C₁₃	1	16	yes	—
956	C₂×D₄	C₂⁴×C₁₃	1	8	yes	—
957	C₂×D₄	C₂⁴×C₁₃	1	4	yes	—
958	C₂²×C₄	—	2	4	no	—
959	C₂²×C₄	—	2	4	no	—
960	C₂²×C₄	—	2	16	no	—
961	C₂²×C₄	—	4	4	no	—
962	C₂²×C₄	—	4	8	no	—
963	C₂²×C₄	—	4	4	no	—
964	C₂²×C₄	—	4	8	no	—
965	C₂²×C₄	—	4	4	no	—
966	C₂²×C₄	—	4	4	no	—
967	C₂²×C₄	—	4	16	no	—
968	C₂²×C₄	—	4	8	no	—
969	C₂²×C₄	—	4	4	no	—
970	C₂²×C₄	—	4	2	no	—
971	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
972	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
973	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
974	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
975	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
976	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
977	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
978	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
979	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
980	C₂²×C₄	C₂⁴×C₁₃	1	4	yes	—
981	C₂²×C₄	C₂⁴×C₁₃	1	8	yes	—
982	C₂²×C₄	C₂⁴×C₁₃	1	8	yes	—
983	C₂²×C₄	C₂⁴×C₁₃	1	8	yes	—
984	C₂²×C₄	C₂⁴×C₁₃	1	4	yes	—
985	C₂²×C₄	C₂⁴×C₁₃	1	4	yes	—
986	C₂²×C₄	C₂⁴×C₁₃	1	4	yes	—
987	C₂²×C₄	C₂⁴×C₁₃	1	4	yes	—
988	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
989	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
990	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
991	C₂²×C₄	C₂⁴×C₁₃	1	8	yes	—
992	C₂²×C₄	C₂⁴×C₁₃	1	8	yes	—
993	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
994	C₂²×C₄	C₂⁴×C₁₃	1	4	yes	—
995	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
996	C₂²×C₄	C₂⁴×C₁₃	1	8	yes	—
997	C₂²×C₄	C₂⁴×C₁₃	1	4	yes	—
998	C₂²×C₄	C₂⁴×C₁₃	1	4	yes	—
999	C₂²×C₄	C₂⁴×C₁₃	1	16	yes	—
1000	C₂²×C₄	C₂⁴×C₁₃	1	4	yes	—
1001	C₂²×C₄	C₂⁴×C₁₃	1	4	yes	—
1002	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1003	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1004	C₄⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1005	C₄⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1006	C₄⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1007	C₄⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1008	C₄⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1009	C₄⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1010	C₄⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1011	C₄⋊C₄	C₂⁴×C₁₃	1	16	yes	—
1012	C₄⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1013	C₄⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1014	C₄⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1015	C₄⋊C₄	C₂⁴×C₁₃	1	16	yes	—
1016	C₄⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1017	C₄⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1018	C₄⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1019	C₄⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1020	C₄⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1021	C₄⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1022	C₄⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1023	C₂²⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1024	C₂²⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1025	C₂²⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1026	C₂²⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1027	C₂²⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1028	C₂²⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1029	C₂²⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1030	C₂²⋊C₄	C₂⁴×C₁₃	1	16	yes	—
1031	C₂²⋊C₄	C₂⁴×C₁₃	1	16	yes	—
1032	C₂²⋊C₄	C₂⁴×C₁₃	1	16	yes	—
1033	C₂²⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1034	C₂²⋊C₄	C₂⁴×C₁₃	1	16	yes	—
1035	C₂²⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1036	C₂²⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1037	C₂²⋊C₄	C₂⁴×C₁₃	1	16	yes	—
1038	C₂²⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1039	C₂²⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1040	C₂²⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1041	C₄²	C₂⁴×C₁₃	1	2	yes	—
1042	C₄²	C₂⁴×C₁₃	1	2	yes	—
1043	C₄²	C₂⁴×C₁₃	1	2	yes	—
1044	C₄²	C₂⁴×C₁₃	1	2	yes	—
1045	C₄²	C₂⁴×C₁₃	1	2	yes	—
1046	C₄²	C₂⁴×C₁₃	1	2	yes	—
1047	C₄²	C₂⁴×C₁₃	1	2	yes	—
1048	C₄²	C₂⁴×C₁₃	1	2	yes	—
1049	C₄²	C₂⁴×C₁₃	1	8	yes	—
1050	C₄²	C₂⁴×C₁₃	1	16	yes	—
1051	C₄²	C₂⁴×C₁₃	1	8	yes	—
1052	C₄²	C₂⁴×C₁₃	1	8	yes	—
1053	C₁₃	#62773	1	1	yes	characteristic, direct product factor, Sylow
1054	C₂³	—	2	2	no	—
1055	C₂³	—	2	2	no	—
1056	C₂³	—	2	2	no	—
1057	C₂³	—	2	8	no	—
1058	C₂³	—	2	8	no	—
1059	C₂³	—	2	4	no	—
1060	C₂³	—	2	8	no	—
1061	C₂³	—	2	8	no	—
1062	C₂³	—	2	16	no	—
1063	C₂³	—	4	2	no	—
1064	C₂³	—	4	4	no	—
1065	C₂³	—	4	2	no	—
1066	C₂³	—	4	2	no	—
1067	C₂³	—	4	4	no	—
1068	C₂³	—	4	2	no	—
1069	C₂³	—	4	8	no	—
1070	C₂³	—	4	8	no	—
1071	C₂³	—	4	32	no	—
1072	C₂³	C₂×C₁₃×#41	1	8	yes	complemented
1073	C₂³	C₂⁵×C₁₃	1	4	yes	—
1074	C₂³	C₂⁵×C₁₃	1	8	yes	—
1075	C₂³	C₂⁵×C₁₃	1	4	yes	—
1076	C₂³	C₂⁵×C₁₃	1	1	yes	characteristic
1077	C₂³	C₂⁵×C₁₃	1	1	yes	characteristic
1078	C₂³	C₂⁵×C₁₃	1	1	yes	characteristic
1079	Q₈	—	2	8	no	—
1080	Q₈	—	2	8	no	—
1081	Q₈	—	4	8	no	—
1082	Q₈	—	4	4	no	—
1083	D₄	—	2	16	no	—
1084	D₄	—	2	32	no	—
1085	D₄	—	2	16	no	—
1086	D₄	—	2	16	no	—
1087	D₄	—	2	16	no	—
1088	D₄	—	2	8	no	—
1089	D₄	—	2	8	no	—
1090	D₄	—	2	8	no	—
1091	D₄	—	4	16	no	—
1092	D₄	—	4	8	no	—
1093	D₄	—	4	16	no	—
1094	D₄	—	4	4	no	—
1095	D₄	C₂×C₁₃×#41	1	16	yes	complemented
1096	C₂×C₄	—	2	2	no	—
1097	C₂×C₄	—	2	16	no	—
1098	C₂×C₄	—	2	2	no	—
1099	C₂×C₄	—	2	8	no	—
1100	C₂×C₄	—	2	4	no	—
1101	C₂×C₄	—	2	4	no	—
1102	C₂×C₄	—	2	4	no	—
1103	C₂×C₄	—	2	16	no	—
1104	C₂×C₄	—	2	2	no	—
1105	C₂×C₄	—	2	2	no	—
1106	C₂×C₄	—	2	8	no	—
1107	C₂×C₄	—	2	2	no	—
1108	C₂×C₄	—	2	2	no	—
1109	C₂×C₄	—	2	8	no	—
1110	C₂×C₄	—	2	8	no	—
1111	C₂×C₄	—	2	8	no	—
1112	C₂×C₄	—	2	16	no	—
1113	C₂×C₄	—	4	2	no	—
1114	C₂×C₄	—	4	4	no	—
1115	C₂×C₄	—	4	4	no	—
1116	C₂×C₄	—	4	4	no	—
1117	C₂×C₄	—	4	4	no	—
1118	C₂×C₄	—	4	4	no	—
1119	C₂×C₄	—	4	2	no	—
1120	C₂×C₄	—	4	8	no	—
1121	C₂×C₄	—	4	1	no	—
1122	C₂×C₄	—	4	2	no	—
1123	C₂×C₄	—	4	1	no	—
1124	C₂×C₄	—	4	16	no	—
1125	C₂×C₄	—	4	8	no	—
1126	C₂×C₄	—	4	8	no	—
1127	C₂×C₄	C₂×C₁₃×#41	1	4	yes	complemented
1128	C₂×C₄	C₁₃×H(5,𝔽₂)	1	4	yes	complemented
1129	C₂×C₄	C₂⁵×C₁₃	1	2	yes	—
1130	C₂×C₄	C₂⁵×C₁₃	1	2	yes	—
1131	C₂×C₄	C₂⁵×C₁₃	1	8	yes	—
1132	C₂×C₄	C₂⁵×C₁₃	1	8	yes	—
1133	C₂×C₄	C₂⁵×C₁₃	1	2	yes	—
1134	C₂×C₄	C₂⁵×C₁₃	1	1	yes	characteristic
1135	C₂×C₄	C₂⁵×C₁₃	1	1	yes	characteristic
1136	C₂×C₄	C₂⁵×C₁₃	1	4	yes	—
1137	C₂×C₄	C₂⁵×C₁₃	1	8	yes	—
1138	C₂×C₄	C₂⁵×C₁₃	1	4	yes	—
1139	C₂×C₄	C₂⁵×C₁₃	1	2	yes	—
1140	C₂×C₄	C₂⁵×C₁₃	1	1	yes	characteristic
1141	C₂×C₄	C₂⁵×C₁₃	1	1	yes	characteristic
1142	C₂²	—	2	8	no	—
1143	C₂²	—	2	1	no	—
1144	C₂²	—	2	1	no	—
1145	C₂²	—	2	1	no	—
1146	C₂²	—	2	1	no	—
1147	C₂²	—	2	4	no	—
1148	C₂²	—	2	1	no	—
1149	C₂²	—	2	1	no	—
1150	C₂²	—	2	4	no	—
1151	C₂²	—	2	8	no	—
1152	C₂²	—	2	4	no	—
1153	C₂²	—	2	4	no	—
1154	C₂²	—	2	8	no	—
1155	C₂²	—	2	8	no	—
1156	C₂²	—	2	4	no	—
1157	C₂²	—	4	8	no	—
1158	C₂²	—	4	16	no	—
1159	C₂²	—	4	16	no	—
1160	C₂²	—	4	8	no	—
1161	C₂²	—	8	16	no	—
1162	C₂²	C₂²×C₁₃×#41	1	8	yes	—
1163	C₂²	C₂²×C₁₃×#41	1	2	yes	—
1164	C₂²	C₂×C₁₃×H(5,𝔽₂)	1	2	yes	—
1165	C₂²	C₁₃×#585	1	2	yes	—
1166	C₂²	C₂⁶×C₁₃	1	1	yes	characteristic
1167	C₄	—	2	2	no	—
1168	C₄	—	2	8	no	—
1169	C₄	—	2	1	no	—
1170	C₄	—	2	1	no	—
1171	C₄	—	2	4	no	—
1172	C₄	—	2	4	no	—
1173	C₄	—	2	8	no	—
1174	C₄	—	2	2	no	—
1175	C₄	—	2	2	no	—
1176	C₄	—	2	8	no	—
1177	C₄	C₂²×C₁₃×#41	1	4	yes	—
1178	C₄	C₂×C₁₃×H(5,𝔽₂)	1	2	yes	—
1179	C₄	C₂×C₁₃×H(5,𝔽₂)	1	2	yes	—
1180	C₂	—	2	2	no	—
1181	C₂	—	2	2	no	—
1182	C₂	—	2	2	no	—
1183	C₂	—	2	8	no	—
1184	C₂	—	4	4	no	—
1185	C₂	—	4	8	no	—
1186	C₂	C₂³×C₁₃×#41	1	1	yes	characteristic
1187	C₂	C₂²×C₁₃×H(5,𝔽₂)	1	1	yes	characteristic
1188	C₂	C₂×C₁₃×#585	1	1	yes	characteristic

	subgroup	G/H
center	C₂×C₄×C₁₃	C₂⁵
commutator, Frattini, cosocle	C₂²	C₂⁶×C₁₃
socle	C₂²×C₁₃	C₂⁶
LCS	G ▷ C₂² ▷ C₁
UCS	C₁ ◁ C₂×C₄×C₁₃ ◁ G

Complements

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

N	H ≅ G/N	type
1. C₁₃×#3520	C₂	semidirect
2. C₁₃×#3519	C₂	semidirect
3. C₁₃×#3513	C₂	semidirect
4. C₁₃×#3506	C₂	semidirect
5. C₁₃×#3505	C₂	semidirect
6. C₁₃×#3501	C₂	semidirect
7. C₁₃×#3496	C₂	semidirect
8. C₁₃×#3492	C₂	semidirect
9. C₁₃×#3490	C₂	semidirect
10. C₁₃×#3484	C₂	semidirect
11. C₁₃×#3481	C₂	semidirect
12. C₁₃×#3475	C₂	semidirect
13. D₄×C₁₃×#41	C₂	semidirect
14. C₁₃×#3460	C₂	semidirect
15. C₁₃×#3459	C₂	semidirect
16. C₁₃×#3444	C₂	semidirect
17. C₂×C₁₃×#525	C₂	semidirect
18. C₄×C₁₃×H(5,𝔽₂)	C₂	semidirect
19. C₂²×C₄×D₄×C₁₃	C₂	semidirect
21. C₂²×C₁₃×#41	C₂²	semidirect
23. C₂⁴×C₄×C₁₃	C₂²	semidirect
24. C₁₃×#559	C₂²	semidirect
25. C₁₃×#556	C₂²	semidirect
26. C₁₃×#555	C₂²	semidirect
27. C₁₃×#554	C₂²	semidirect
28. C₁₃×#554	C₂²	semidirect
29. C₁₃×#554	C₂²	semidirect
30. C₁₃×#553	C₂²	semidirect
31. C₁₃×#553	C₂²	semidirect
32. C₁₃×#553	C₂²	semidirect
33. C₁₃×#553	C₂²	semidirect
34. C₁₃×#552	C₂²	semidirect
35. C₁₃×#552	C₂²	semidirect
36. C₁₃×#551	C₂²	semidirect
37. C₁₃×#551	C₂²	semidirect
38. C₁₃×#551	C₂²	semidirect
39. C₁₃×#550	C₂²	semidirect
40. D₄×Q₈×C₁₃	C₂²	semidirect
41. C₁₃×#548	C₂²	semidirect
42. C₁₃×#547	C₂²	semidirect
43. C₁₃×#547	C₂²	semidirect
44. C₁₃×#547	C₂²	semidirect
45. C₁₃×#546	C₂²	semidirect
46. C₁₃×#546	C₂²	semidirect
47. C₁₃×#546	C₂²	semidirect
48. C₁₃×#546	C₂²	semidirect
49. C₁₃×#546	C₂²	semidirect
50. C₁₃×#546	C₂²	semidirect
51. D₄²×C₁₃	C₂²	semidirect
52. D₄²×C₁₃	C₂²	semidirect
53. D₄²×C₁₃	C₂²	semidirect
54. C₁₃×#544	C₂²	semidirect
55. C₁₃×#543	C₂²	semidirect
56. C₁₃×#542	C₂²	semidirect
57. C₁₃×#540	C₂²	semidirect
58. C₁₃×#539	C₂²	semidirect
59. C₁₃×#539	C₂²	semidirect
60. C₁₃×#538	C₂²	semidirect
61. C₁₃×#538	C₂²	semidirect
62. C₁₃×#538	C₂²	semidirect
63. C₁₃×#537	C₂²	semidirect
64. C₁₃×#535	C₂²	semidirect
65. C₁₃×#534	C₂²	semidirect
66. C₁₃×#534	C₂²	semidirect
67. C₁₃×#533	C₂²	semidirect
68. C₁₃×#533	C₂²	semidirect
69. C₁₃×#533	C₂²	semidirect
70. C₁₃×#532	C₂²	semidirect
71. C₁₃×#532	C₂²	semidirect
72. C₁₃×#532	C₂²	semidirect
73. C₁₃×#532	C₂²	semidirect
74. C₁₃×#529	C₂²	semidirect
75. C₁₃×#529	C₂²	semidirect
76. C₁₃×#529	C₂²	semidirect
77. C₁₃×#529	C₂²	semidirect
78. C₁₃×#529	C₂²	semidirect
79. C₁₃×#529	C₂²	semidirect
80. C₁₃×#529	C₂²	semidirect
81. C₁₃×#529	C₂²	semidirect
82. C₁₃×#525	C₂²	semidirect
83. C₁₃×#525	C₂²	semidirect
84. C₁₃×#525	C₂²	semidirect
85. C₁₃×#525	C₂²	semidirect
86. C₁₃×#525	C₂²	semidirect
87. C₁₃×#525	C₂²	semidirect
88. C₁₃×#525	C₂²	semidirect
89. C₁₃×#525	C₂²	semidirect
90. C₁₃×#525	C₂²	semidirect
91. C₁₃×#525	C₂²	semidirect
92. C₁₃×#525	C₂²	semidirect
93. C₂×C₁₃×#123	C₂²	semidirect
94. C₂×C₁₃×C₂²⋊Q₈	C₂²	semidirect
95. C₂×C₁₃×C₂²⋊Q₈	C₂²	semidirect
96. C₂×C₁₃×#121	C₂²	semidirect
97. C₂×C₁₃×#121	C₂²	semidirect
98. C₂×C₁₃×#120	C₂²	semidirect
99. C₁₃×#520	C₂²	semidirect
100. C₁₃×#520	C₂²	semidirect
102. C₁₃×#518	C₂²	semidirect
103. C₁₃×#518	C₂²	semidirect
104. C₄×C₁₃×#41	C₂²	semidirect
105. C₄×C₁₃×#41	C₂²	semidirect
106. C₄×C₁₃×#41	C₂²	semidirect
107. C₄×C₁₃×#41	C₂²	semidirect
110. C₂×C₄×D₄×C₁₃	C₂²	semidirect
111. C₂×C₄×D₄×C₁₃	C₂²	semidirect
112. C₂×C₄×D₄×C₁₃	C₂²	semidirect
113. C₂×C₄×D₄×C₁₃	C₂²	semidirect
114. C₂×C₄×D₄×C₁₃	C₂²	semidirect
115. C₂×C₄×D₄×C₁₃	C₂²	semidirect
116. C₂×C₄×D₄×C₁₃	C₂²	semidirect
117. C₂×C₄×D₄×C₁₃	C₂²	semidirect
118. C₂×C₄×D₄×C₁₃	C₂²	semidirect
119. C₂×C₄×D₄×C₁₃	C₂²	semidirect
120. C₂×C₄×D₄×C₁₃	C₂²	semidirect
121. C₂×C₁₃×#117	C₂²	semidirect
122. C₂²×C₁₃×C₄⋊C₄	C₂²	semidirect
123. C₂²×C₁₃×C₂²⋊C₄	C₂²	semidirect
124. C₂²×C₄²×C₁₃	C₂²	semidirect
133. C₂×C₁₃×#41	C₂³	semidirect
134. C₂×C₁₃×#41	C₂³	semidirect
135. C₂²×Q₈×C₁₃	C₂³	semidirect
146. C₂²×D₄×C₁₃	C₂³	semidirect
160. C₂³×C₄×C₁₃	C₂³	semidirect
161. C₁₃×C₄⋊Q₈	C₂³	semidirect
162. C₁₃×C₄⋊Q₈	C₂³	semidirect
163. C₁₃×C₄⋊Q₈	C₂³	semidirect
164. C₁₃×C₄⋊Q₈	C₂³	semidirect
166. C₁₃×#127	C₂³	semidirect
167. C₁₃×#126	C₂³	semidirect
168. C₁₃×#126	C₂³	semidirect
169. C₁₃×#126	C₂³	semidirect
170. C₁₃×#126	C₂³	semidirect
171. C₁₃×#126	C₂³	semidirect
172. C₁₃×#125	C₂³	semidirect
173. C₁₃×#125	C₂³	semidirect
174. C₁₃×#125	C₂³	semidirect
175. C₁₃×#125	C₂³	semidirect
176. C₁₃×#125	C₂³	semidirect
178. C₁₃×#124	C₂³	semidirect
179. C₁₃×#124	C₂³	semidirect
180. C₁₃×#124	C₂³	semidirect
181. C₁₃×#124	C₂³	semidirect
182. C₁₃×#124	C₂³	semidirect
188. C₁₃×#123	C₂³	semidirect
189. C₁₃×#123	C₂³	semidirect
190. C₁₃×#123	C₂³	semidirect
191. C₁₃×#123	C₂³	semidirect
192. C₁₃×#123	C₂³	semidirect
193. C₁₃×#123	C₂³	semidirect
202. C₁₃×C₂²⋊Q₈	C₂³	semidirect
203. C₁₃×C₂²⋊Q₈	C₂³	semidirect
204. C₁₃×C₂²⋊Q₈	C₂³	semidirect
205. C₁₃×C₂²⋊Q₈	C₂³	semidirect
206. C₁₃×C₂²⋊Q₈	C₂³	semidirect
207. C₁₃×C₂²⋊Q₈	C₂³	semidirect
208. C₁₃×C₂²⋊Q₈	C₂³	semidirect
209. C₁₃×C₂²⋊Q₈	C₂³	semidirect
222. C₁₃×#121	C₂³	semidirect
223. C₁₃×#121	C₂³	semidirect
224. C₁₃×#121	C₂³	semidirect
225. C₁₃×#121	C₂³	semidirect
226. C₁₃×#121	C₂³	semidirect
227. C₁₃×#121	C₂³	semidirect
228. C₁₃×#121	C₂³	semidirect
234. C₁₃×#120	C₂³	semidirect
235. C₄×Q₈×C₁₃	C₂³	semidirect
236. C₄×Q₈×C₁₃	C₂³	semidirect
237. C₄×Q₈×C₁₃	C₂³	semidirect
238. C₄×Q₈×C₁₃	C₂³	semidirect
239. C₄×Q₈×C₁₃	C₂³	semidirect
240. C₄×Q₈×C₁₃	C₂³	semidirect
241. C₄×Q₈×C₁₃	C₂³	semidirect
264. C₄×D₄×C₁₃	C₂³	semidirect
265. C₄×D₄×C₁₃	C₂³	semidirect
266. C₄×D₄×C₁₃	C₂³	semidirect
267. C₄×D₄×C₁₃	C₂³	semidirect
268. C₄×D₄×C₁₃	C₂³	semidirect
269. C₄×D₄×C₁₃	C₂³	semidirect
270. C₄×D₄×C₁₃	C₂³	semidirect
271. C₄×D₄×C₁₃	C₂³	semidirect
272. C₄×D₄×C₁₃	C₂³	semidirect
273. C₄×D₄×C₁₃	C₂³	semidirect
274. C₄×D₄×C₁₃	C₂³	semidirect
275. C₄×D₄×C₁₃	C₂³	semidirect
276. C₄×D₄×C₁₃	C₂³	semidirect
281. C₁₃×#117	C₂³	semidirect
282. C₁₃×#117	C₂³	semidirect
283. C₁₃×#117	C₂³	semidirect
284. C₁₃×#117	C₂³	semidirect
285. C₁₃×#117	C₂³	semidirect
286. C₁₃×#117	C₂³	semidirect
287. C₁₃×#117	C₂³	semidirect
293. C₂×C₁₃×C₄⋊C₄	C₂³	semidirect
294. C₂×C₁₃×C₄⋊C₄	C₂³	semidirect
295. C₂×C₁₃×C₄⋊C₄	C₂³	semidirect
296. C₂×C₁₃×C₄⋊C₄	C₂³	semidirect
297. C₂×C₁₃×C₄⋊C₄	C₂³	semidirect
307. C₂×C₁₃×C₂²⋊C₄	C₂³	semidirect
308. C₂×C₁₃×C₂²⋊C₄	C₂³	semidirect
309. C₂×C₁₃×C₂²⋊C₄	C₂³	semidirect
318. C₂×C₄²×C₁₃	C₂³	semidirect
319. C₂×C₄²×C₁₃	C₂³	semidirect
320. #62773	C₁₃	direct (N × H)
351. C₂×D₄×C₁₃	#41	semidirect
460. #3520	C₂×C₁₃	semidirect
461. #3519	C₂×C₁₃	semidirect
462. #3513	C₂×C₁₃	semidirect
463. #3506	C₂×C₁₃	semidirect
464. #3505	C₂×C₁₃	semidirect
465. #3501	C₂×C₁₃	semidirect
466. #3496	C₂×C₁₃	semidirect
467. #3492	C₂×C₁₃	semidirect
468. #3490	C₂×C₁₃	semidirect
469. #3484	C₂×C₁₃	semidirect
470. #3481	C₂×C₁₃	semidirect
471. #3475	C₂×C₁₃	semidirect
472. D₄×#41	C₂×C₁₃	semidirect
473. #3460	C₂×C₁₃	semidirect
474. #3459	C₂×C₁₃	semidirect
475. #3444	C₂×C₁₃	semidirect
476. C₂×#525	C₂×C₁₃	semidirect
477. C₄×H(5,𝔽₂)	C₂×C₁₃	semidirect
478. C₂²×C₄×D₄	C₂×C₁₃	semidirect
497. C₂³×C₁₃	C₂×#41	semidirect
520. D₄×C₁₃	C₂×#41	semidirect
552. C₂×C₄×C₁₃	C₂×#41	semidirect
553. C₂×C₄×C₁₃	H(5,𝔽₂)	semidirect
568. C₂²×#41	C₂²×C₁₃	semidirect
570. C₂⁴×C₄	C₂²×C₁₃	semidirect
571. #559	C₂²×C₁₃	semidirect
572. #556	C₂²×C₁₃	semidirect
573. #555	C₂²×C₁₃	semidirect
574. #554	C₂²×C₁₃	semidirect
575. #554	C₂²×C₁₃	semidirect
576. #554	C₂²×C₁₃	semidirect
577. #553	C₂²×C₁₃	semidirect
578. #553	C₂²×C₁₃	semidirect
579. #553	C₂²×C₁₃	semidirect
580. #553	C₂²×C₁₃	semidirect
581. #552	C₂²×C₁₃	semidirect
582. #552	C₂²×C₁₃	semidirect
583. #551	C₂²×C₁₃	semidirect
584. #551	C₂²×C₁₃	semidirect
585. #551	C₂²×C₁₃	semidirect
586. #550	C₂²×C₁₃	semidirect
587. D₄×Q₈	C₂²×C₁₃	semidirect
588. #548	C₂²×C₁₃	semidirect
589. #547	C₂²×C₁₃	semidirect
590. #547	C₂²×C₁₃	semidirect
591. #547	C₂²×C₁₃	semidirect
592. #546	C₂²×C₁₃	semidirect
593. #546	C₂²×C₁₃	semidirect
594. #546	C₂²×C₁₃	semidirect
595. #546	C₂²×C₁₃	semidirect
596. #546	C₂²×C₁₃	semidirect
597. #546	C₂²×C₁₃	semidirect
598. D₄²	C₂²×C₁₃	semidirect
599. D₄²	C₂²×C₁₃	semidirect
600. D₄²	C₂²×C₁₃	semidirect
601. #544	C₂²×C₁₃	semidirect
602. #543	C₂²×C₁₃	semidirect
603. #542	C₂²×C₁₃	semidirect
604. #540	C₂²×C₁₃	semidirect
605. #539	C₂²×C₁₃	semidirect
606. #539	C₂²×C₁₃	semidirect
607. #538	C₂²×C₁₃	semidirect
608. #538	C₂²×C₁₃	semidirect
609. #538	C₂²×C₁₃	semidirect
610. #537	C₂²×C₁₃	semidirect
611. #535	C₂²×C₁₃	semidirect
612. #534	C₂²×C₁₃	semidirect
613. #534	C₂²×C₁₃	semidirect
614. #533	C₂²×C₁₃	semidirect
615. #533	C₂²×C₁₃	semidirect
616. #533	C₂²×C₁₃	semidirect
617. #532	C₂²×C₁₃	semidirect
618. #532	C₂²×C₁₃	semidirect
619. #532	C₂²×C₁₃	semidirect
620. #532	C₂²×C₁₃	semidirect
621. #529	C₂²×C₁₃	semidirect
622. #529	C₂²×C₁₃	semidirect
623. #529	C₂²×C₁₃	semidirect
624. #529	C₂²×C₁₃	semidirect
625. #529	C₂²×C₁₃	semidirect
626. #529	C₂²×C₁₃	semidirect
627. #529	C₂²×C₁₃	semidirect
628. #529	C₂²×C₁₃	semidirect
629. #525	C₂²×C₁₃	semidirect
630. #525	C₂²×C₁₃	semidirect
631. #525	C₂²×C₁₃	semidirect
632. #525	C₂²×C₁₃	semidirect
633. #525	C₂²×C₁₃	semidirect
634. #525	C₂²×C₁₃	semidirect
635. #525	C₂²×C₁₃	semidirect
636. #525	C₂²×C₁₃	semidirect
637. #525	C₂²×C₁₃	semidirect
638. #525	C₂²×C₁₃	semidirect
639. #525	C₂²×C₁₃	semidirect
640. C₂×#123	C₂²×C₁₃	semidirect
641. C₂×C₂²⋊Q₈	C₂²×C₁₃	semidirect
642. C₂×C₂²⋊Q₈	C₂²×C₁₃	semidirect
643. C₂×#121	C₂²×C₁₃	semidirect
644. C₂×#121	C₂²×C₁₃	semidirect
645. C₂×#120	C₂²×C₁₃	semidirect
646. #520	C₂²×C₁₃	semidirect
647. #520	C₂²×C₁₃	semidirect
649. #518	C₂²×C₁₃	semidirect
650. #518	C₂²×C₁₃	semidirect
651. C₄×#41	C₂²×C₁₃	semidirect
652. C₄×#41	C₂²×C₁₃	semidirect
653. C₄×#41	C₂²×C₁₃	semidirect
654. C₄×#41	C₂²×C₁₃	semidirect
657. C₂×C₄×D₄	C₂²×C₁₃	semidirect
658. C₂×C₄×D₄	C₂²×C₁₃	semidirect
659. C₂×C₄×D₄	C₂²×C₁₃	semidirect
660. C₂×C₄×D₄	C₂²×C₁₃	semidirect
661. C₂×C₄×D₄	C₂²×C₁₃	semidirect
662. C₂×C₄×D₄	C₂²×C₁₃	semidirect
663. C₂×C₄×D₄	C₂²×C₁₃	semidirect
664. C₂×C₄×D₄	C₂²×C₁₃	semidirect
665. C₂×C₄×D₄	C₂²×C₁₃	semidirect
666. C₂×C₄×D₄	C₂²×C₁₃	semidirect
667. C₂×C₄×D₄	C₂²×C₁₃	semidirect
668. C₂×#117	C₂²×C₁₃	semidirect
669. C₂²×C₄⋊C₄	C₂²×C₁₃	semidirect
670. C₂²×C₂²⋊C₄	C₂²×C₁₃	semidirect
671. C₂²×C₄²	C₂²×C₁₃	semidirect
718. C₂×#41	C₂³×C₁₃	semidirect
719. C₂×#41	C₂³×C₁₃	semidirect
720. C₂²×Q₈	C₂³×C₁₃	semidirect
731. C₂²×D₄	C₂³×C₁₃	semidirect
745. C₂³×C₄	C₂³×C₁₃	semidirect
746. C₄⋊Q₈	C₂³×C₁₃	semidirect
747. C₄⋊Q₈	C₂³×C₁₃	semidirect
748. C₄⋊Q₈	C₂³×C₁₃	semidirect
749. C₄⋊Q₈	C₂³×C₁₃	semidirect
751. #127	C₂³×C₁₃	semidirect
752. #126	C₂³×C₁₃	semidirect
753. #126	C₂³×C₁₃	semidirect
754. #126	C₂³×C₁₃	semidirect
755. #126	C₂³×C₁₃	semidirect
756. #126	C₂³×C₁₃	semidirect
757. #125	C₂³×C₁₃	semidirect
758. #125	C₂³×C₁₃	semidirect
759. #125	C₂³×C₁₃	semidirect
760. #125	C₂³×C₁₃	semidirect
761. #125	C₂³×C₁₃	semidirect
763. #124	C₂³×C₁₃	semidirect
764. #124	C₂³×C₁₃	semidirect
765. #124	C₂³×C₁₃	semidirect
766. #124	C₂³×C₁₃	semidirect
767. #124	C₂³×C₁₃	semidirect
773. #123	C₂³×C₁₃	semidirect
774. #123	C₂³×C₁₃	semidirect
775. #123	C₂³×C₁₃	semidirect
776. #123	C₂³×C₁₃	semidirect
777. #123	C₂³×C₁₃	semidirect
778. #123	C₂³×C₁₃	semidirect
787. C₂²⋊Q₈	C₂³×C₁₃	semidirect
788. C₂²⋊Q₈	C₂³×C₁₃	semidirect
789. C₂²⋊Q₈	C₂³×C₁₃	semidirect
790. C₂²⋊Q₈	C₂³×C₁₃	semidirect
791. C₂²⋊Q₈	C₂³×C₁₃	semidirect
792. C₂²⋊Q₈	C₂³×C₁₃	semidirect
793. C₂²⋊Q₈	C₂³×C₁₃	semidirect
794. C₂²⋊Q₈	C₂³×C₁₃	semidirect
807. #121	C₂³×C₁₃	semidirect
808. #121	C₂³×C₁₃	semidirect
809. #121	C₂³×C₁₃	semidirect
810. #121	C₂³×C₁₃	semidirect
811. #121	C₂³×C₁₃	semidirect
812. #121	C₂³×C₁₃	semidirect
813. #121	C₂³×C₁₃	semidirect
819. #120	C₂³×C₁₃	semidirect
820. C₄×Q₈	C₂³×C₁₃	semidirect
821. C₄×Q₈	C₂³×C₁₃	semidirect
822. C₄×Q₈	C₂³×C₁₃	semidirect
823. C₄×Q₈	C₂³×C₁₃	semidirect
824. C₄×Q₈	C₂³×C₁₃	semidirect
825. C₄×Q₈	C₂³×C₁₃	semidirect
826. C₄×Q₈	C₂³×C₁₃	semidirect
849. C₄×D₄	C₂³×C₁₃	semidirect
850. C₄×D₄	C₂³×C₁₃	semidirect
851. C₄×D₄	C₂³×C₁₃	semidirect
852. C₄×D₄	C₂³×C₁₃	semidirect
853. C₄×D₄	C₂³×C₁₃	semidirect
854. C₄×D₄	C₂³×C₁₃	semidirect
855. C₄×D₄	C₂³×C₁₃	semidirect
856. C₄×D₄	C₂³×C₁₃	semidirect
857. C₄×D₄	C₂³×C₁₃	semidirect
858. C₄×D₄	C₂³×C₁₃	semidirect
859. C₄×D₄	C₂³×C₁₃	semidirect
860. C₄×D₄	C₂³×C₁₃	semidirect
861. C₄×D₄	C₂³×C₁₃	semidirect
866. #117	C₂³×C₁₃	semidirect
867. #117	C₂³×C₁₃	semidirect
868. #117	C₂³×C₁₃	semidirect
869. #117	C₂³×C₁₃	semidirect
870. #117	C₂³×C₁₃	semidirect
871. #117	C₂³×C₁₃	semidirect
872. #117	C₂³×C₁₃	semidirect
878. C₂×C₄⋊C₄	C₂³×C₁₃	semidirect
879. C₂×C₄⋊C₄	C₂³×C₁₃	semidirect
880. C₂×C₄⋊C₄	C₂³×C₁₃	semidirect
881. C₂×C₄⋊C₄	C₂³×C₁₃	semidirect
882. C₂×C₄⋊C₄	C₂³×C₁₃	semidirect
892. C₂×C₂²⋊C₄	C₂³×C₁₃	semidirect
893. C₂×C₂²⋊C₄	C₂³×C₁₃	semidirect
894. C₂×C₂²⋊C₄	C₂³×C₁₃	semidirect
903. C₂×C₄²	C₂³×C₁₃	semidirect
904. C₂×C₄²	C₂³×C₁₃	semidirect
944. C₂×D₄	C₁₃×#41	semidirect
1053. C₁₃	#62773	direct (N × H)
1072. C₂³	C₂×C₁₃×#41	semidirect
1095. D₄	C₂×C₁₃×#41	semidirect
1127. C₂×C₄	C₂×C₁₃×#41	semidirect
1128. C₂×C₄	C₁₃×H(5,𝔽₂)	semidirect

Maximal subgroups

By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.

subgroup	index
C₁₃×#3520	2
C₁₃×#3519	2
C₁₃×#3513	2
C₁₃×#3506	2
C₁₃×#3505	2
C₁₃×#3501	2
C₁₃×#3496	2
C₁₃×#3492	2
C₁₃×#3490	2
C₁₃×#3484	2
C₁₃×#3481	2
C₁₃×#3475	2
D₄×C₁₃×#41	2
C₁₃×#3460	2
C₁₃×#3459	2
C₁₃×#3444	2
C₂×C₁₃×#525	2
C₄×C₁₃×H(5,𝔽₂)	2
C₂²×C₄×D₄×C₁₃	2
#62773	13

Subgroups — C13×#62773 #15749112

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₃×#62773 #15749112