Subgroups — C₂×C₁₃×#3541 #15749059

Order 3328.

7258 conjugacy classes of subgroups.

The subgroup lattice has 1344 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

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

	subgroup	G/H
center, socle	C₂³×C₁₃	C₂⁵
commutator, Frattini, cosocle	C₂²	C₂⁶×C₁₃
LCS	G ▷ C₂² ▷ C₁
UCS	C₁ ◁ C₂³×C₁₃ ◁ G

Complements

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

N	H ≅ G/N	type
1. C₁₃×#3541	C₂	direct (N × H)
2. C₂×C₁₃×#563	C₂	semidirect
3. C₂×C₁₃×#562	C₂	semidirect
4. C₂×C₁₃×#556	C₂	semidirect
5. C₂×C₁₃×#554	C₂	semidirect
6. C₂×C₁₃×#554	C₂	semidirect
7. C₂×C₁₃×#553	C₂	semidirect
8. C₂×C₁₃×#553	C₂	semidirect
9. C₂×C₁₃×#552	C₂	semidirect
10. C₂×D₄×Q₈×C₁₃	C₂	semidirect
11. C₂×C₁₃×#548	C₂	semidirect
12. C₂×C₁₃×#548	C₂	semidirect
13. C₂×C₁₃×#547	C₂	semidirect
14. C₂×C₁₃×#542	C₂	semidirect
15. C₂×C₁₃×#542	C₂	semidirect
16. C₂×C₁₃×#541	C₂	semidirect
17. C₂×C₁₃×#539	C₂	semidirect
18. C₂×C₁₃×#538	C₂	semidirect
19. C₂×C₁₃×#538	C₂	semidirect
20. C₂×C₁₃×#537	C₂	semidirect
21. C₂×C₁₃×#536	C₂	semidirect
22. C₂×C₁₃×#525	C₂	semidirect
23. C₂×C₁₃×#525	C₂	semidirect
24. C₂²×C₁₃×C₂²⋊Q₈	C₂	semidirect
27. C₂²×C₁₃×#41	C₂²	semidirect
29. C₂³×Q₈×C₁₃	C₂²	semidirect
31. C₁₃×#563	C₂²	semidirect
32. C₁₃×#562	C₂²	semidirect
33. C₁₃×#556	C₂²	semidirect
34. C₁₃×#554	C₂²	semidirect
35. C₁₃×#554	C₂²	semidirect
36. C₁₃×#553	C₂²	semidirect
37. C₁₃×#553	C₂²	semidirect
38. C₁₃×#552	C₂²	semidirect
39. D₄×Q₈×C₁₃	C₂²	semidirect
40. C₁₃×#548	C₂²	semidirect
41. C₁₃×#548	C₂²	semidirect
42. C₁₃×#547	C₂²	semidirect
43. C₁₃×#542	C₂²	semidirect
44. C₁₃×#542	C₂²	semidirect
45. C₁₃×#541	C₂²	semidirect
46. C₁₃×#539	C₂²	semidirect
47. C₁₃×#538	C₂²	semidirect
48. C₁₃×#538	C₂²	semidirect
49. C₁₃×#537	C₂²	semidirect
50. C₁₃×#536	C₂²	semidirect
51. C₂×C₁₃×C₄⋊Q₈	C₂²	semidirect
52. C₂×C₁₃×C₄⋊Q₈	C₂²	semidirect
53. C₂×C₁₃×C₄⋊Q₈	C₂²	semidirect
54. C₂×C₁₃×C₄⋊Q₈	C₂²	semidirect
59. C₂×C₁₃×#126	C₂²	semidirect
60. C₂×C₁₃×#126	C₂²	semidirect
61. C₂×C₁₃×#126	C₂²	semidirect
62. C₂×C₁₃×#125	C₂²	semidirect
63. C₂×C₁₃×#125	C₂²	semidirect
64. C₂×C₁₃×#125	C₂²	semidirect
65. C₂×C₁₃×#125	C₂²	semidirect
66. C₂×C₁₃×#125	C₂²	semidirect
71. C₂×C₁₃×#124	C₂²	semidirect
72. C₂×C₁₃×#124	C₂²	semidirect
73. C₁₃×#525	C₂²	semidirect
74. C₁₃×#525	C₂²	semidirect
82. C₂×C₁₃×#123	C₂²	semidirect
83. C₂×C₁₃×#123	C₂²	semidirect
84. C₂×C₁₃×#123	C₂²	semidirect
97. C₂×C₁₃×C₂²⋊Q₈	C₂²	semidirect
98. C₂×C₁₃×C₂²⋊Q₈	C₂²	semidirect
99. C₂×C₁₃×C₂²⋊Q₈	C₂²	semidirect
100. C₂×C₁₃×C₂²⋊Q₈	C₂²	semidirect
101. C₂×C₁₃×C₂²⋊Q₈	C₂²	semidirect
102. C₂×C₁₃×C₂²⋊Q₈	C₂²	semidirect
103. C₂×C₁₃×C₂²⋊Q₈	C₂²	semidirect
104. C₂×C₁₃×C₂²⋊Q₈	C₂²	semidirect
105. C₂×C₁₃×C₂²⋊Q₈	C₂²	semidirect
106. C₂×C₁₃×C₂²⋊Q₈	C₂²	semidirect
117. C₂×C₁₃×#121	C₂²	semidirect
118. C₂×C₁₃×#121	C₂²	semidirect
122. C₂×C₄×Q₈×C₁₃	C₂²	semidirect
123. C₂×C₄×Q₈×C₁₃	C₂²	semidirect
124. C₂×C₄×Q₈×C₁₃	C₂²	semidirect
125. C₂×C₄×Q₈×C₁₃	C₂²	semidirect
136. C₂×C₄×D₄×C₁₃	C₂²	semidirect
137. C₂×C₄×D₄×C₁₃	C₂²	semidirect
140. C₂×C₁₃×#117	C₂²	semidirect
141. C₂×C₁₃×#117	C₂²	semidirect
144. C₂²×C₁₃×C₄⋊C₄	C₂²	semidirect
145. C₂²×C₁₃×C₄⋊C₄	C₂²	semidirect
153. C₂×C₁₃×#41	C₂³	semidirect
164. C₂²×Q₈×C₁₃	C₂³	semidirect
195. C₁₃×C₄⋊Q₈	C₂³	semidirect
196. C₁₃×C₄⋊Q₈	C₂³	semidirect
197. C₁₃×C₄⋊Q₈	C₂³	semidirect
198. C₁₃×C₄⋊Q₈	C₂³	semidirect
203. C₁₃×#126	C₂³	semidirect
204. C₁₃×#126	C₂³	semidirect
205. C₁₃×#126	C₂³	semidirect
206. C₁₃×#125	C₂³	semidirect
207. C₁₃×#125	C₂³	semidirect
208. C₁₃×#125	C₂³	semidirect
209. C₁₃×#125	C₂³	semidirect
210. C₁₃×#125	C₂³	semidirect
215. C₁₃×#124	C₂³	semidirect
216. C₁₃×#124	C₂³	semidirect
224. C₁₃×#123	C₂³	semidirect
225. C₁₃×#123	C₂³	semidirect
226. C₁₃×#123	C₂³	semidirect
239. C₁₃×C₂²⋊Q₈	C₂³	semidirect
240. C₁₃×C₂²⋊Q₈	C₂³	semidirect
241. C₁₃×C₂²⋊Q₈	C₂³	semidirect
242. C₁₃×C₂²⋊Q₈	C₂³	semidirect
243. C₁₃×C₂²⋊Q₈	C₂³	semidirect
244. C₁₃×C₂²⋊Q₈	C₂³	semidirect
245. C₁₃×C₂²⋊Q₈	C₂³	semidirect
246. C₁₃×C₂²⋊Q₈	C₂³	semidirect
247. C₁₃×C₂²⋊Q₈	C₂³	semidirect
258. C₁₃×#121	C₂³	semidirect
259. C₁₃×#121	C₂³	semidirect
263. C₄×Q₈×C₁₃	C₂³	semidirect
264. C₄×Q₈×C₁₃	C₂³	semidirect
265. C₄×Q₈×C₁₃	C₂³	semidirect
266. C₄×Q₈×C₁₃	C₂³	semidirect
277. C₄×D₄×C₁₃	C₂³	semidirect
278. C₄×D₄×C₁₃	C₂³	semidirect
281. C₁₃×#117	C₂³	semidirect
282. C₁₃×#117	C₂³	semidirect
314. C₂×C₁₃×C₄⋊C₄	C₂³	semidirect
315. C₂×C₁₃×C₄⋊C₄	C₂³	semidirect
351. C₂×#3541	C₁₃	direct (N × H)
518. #3541	C₂×C₁₃	direct (N × H)
519. C₂×#563	C₂×C₁₃	semidirect
520. C₂×#562	C₂×C₁₃	semidirect
521. C₂×#556	C₂×C₁₃	semidirect
522. C₂×#554	C₂×C₁₃	semidirect
523. C₂×#554	C₂×C₁₃	semidirect
524. C₂×#553	C₂×C₁₃	semidirect
525. C₂×#553	C₂×C₁₃	semidirect
526. C₂×#552	C₂×C₁₃	semidirect
527. C₂×D₄×Q₈	C₂×C₁₃	semidirect
528. C₂×#548	C₂×C₁₃	semidirect
529. C₂×#548	C₂×C₁₃	semidirect
530. C₂×#547	C₂×C₁₃	semidirect
531. C₂×#542	C₂×C₁₃	semidirect
532. C₂×#542	C₂×C₁₃	semidirect
533. C₂×#541	C₂×C₁₃	semidirect
534. C₂×#539	C₂×C₁₃	semidirect
535. C₂×#538	C₂×C₁₃	semidirect
536. C₂×#538	C₂×C₁₃	semidirect
537. C₂×#537	C₂×C₁₃	semidirect
538. C₂×#536	C₂×C₁₃	semidirect
539. C₂×#525	C₂×C₁₃	semidirect
540. C₂×#525	C₂×C₁₃	semidirect
541. C₂²×C₂²⋊Q₈	C₂×C₁₃	semidirect
642. C₂²×#41	C₂²×C₁₃	semidirect
644. C₂³×Q₈	C₂²×C₁₃	semidirect
646. #563	C₂²×C₁₃	semidirect
647. #562	C₂²×C₁₃	semidirect
648. #556	C₂²×C₁₃	semidirect
649. #554	C₂²×C₁₃	semidirect
650. #554	C₂²×C₁₃	semidirect
651. #553	C₂²×C₁₃	semidirect
652. #553	C₂²×C₁₃	semidirect
653. #552	C₂²×C₁₃	semidirect
654. D₄×Q₈	C₂²×C₁₃	semidirect
655. #548	C₂²×C₁₃	semidirect
656. #548	C₂²×C₁₃	semidirect
657. #547	C₂²×C₁₃	semidirect
658. #542	C₂²×C₁₃	semidirect
659. #542	C₂²×C₁₃	semidirect
660. #541	C₂²×C₁₃	semidirect
661. #539	C₂²×C₁₃	semidirect
662. #538	C₂²×C₁₃	semidirect
663. #538	C₂²×C₁₃	semidirect
664. #537	C₂²×C₁₃	semidirect
665. #536	C₂²×C₁₃	semidirect
666. C₂×C₄⋊Q₈	C₂²×C₁₃	semidirect
667. C₂×C₄⋊Q₈	C₂²×C₁₃	semidirect
668. C₂×C₄⋊Q₈	C₂²×C₁₃	semidirect
669. C₂×C₄⋊Q₈	C₂²×C₁₃	semidirect
674. C₂×#126	C₂²×C₁₃	semidirect
675. C₂×#126	C₂²×C₁₃	semidirect
676. C₂×#126	C₂²×C₁₃	semidirect
677. C₂×#125	C₂²×C₁₃	semidirect
678. C₂×#125	C₂²×C₁₃	semidirect
679. C₂×#125	C₂²×C₁₃	semidirect
680. C₂×#125	C₂²×C₁₃	semidirect
681. C₂×#125	C₂²×C₁₃	semidirect
686. C₂×#124	C₂²×C₁₃	semidirect
687. C₂×#124	C₂²×C₁₃	semidirect
688. #525	C₂²×C₁₃	semidirect
689. #525	C₂²×C₁₃	semidirect
697. C₂×#123	C₂²×C₁₃	semidirect
698. C₂×#123	C₂²×C₁₃	semidirect
699. C₂×#123	C₂²×C₁₃	semidirect
712. C₂×C₂²⋊Q₈	C₂²×C₁₃	semidirect
713. C₂×C₂²⋊Q₈	C₂²×C₁₃	semidirect
714. C₂×C₂²⋊Q₈	C₂²×C₁₃	semidirect
715. C₂×C₂²⋊Q₈	C₂²×C₁₃	semidirect
716. C₂×C₂²⋊Q₈	C₂²×C₁₃	semidirect
717. C₂×C₂²⋊Q₈	C₂²×C₁₃	semidirect
718. C₂×C₂²⋊Q₈	C₂²×C₁₃	semidirect
719. C₂×C₂²⋊Q₈	C₂²×C₁₃	semidirect
720. C₂×C₂²⋊Q₈	C₂²×C₁₃	semidirect
721. C₂×C₂²⋊Q₈	C₂²×C₁₃	semidirect
732. C₂×#121	C₂²×C₁₃	semidirect
733. C₂×#121	C₂²×C₁₃	semidirect
737. C₂×C₄×Q₈	C₂²×C₁₃	semidirect
738. C₂×C₄×Q₈	C₂²×C₁₃	semidirect
739. C₂×C₄×Q₈	C₂²×C₁₃	semidirect
740. C₂×C₄×Q₈	C₂²×C₁₃	semidirect
751. C₂×C₄×D₄	C₂²×C₁₃	semidirect
752. C₂×C₄×D₄	C₂²×C₁₃	semidirect
755. C₂×#117	C₂²×C₁₃	semidirect
756. C₂×#117	C₂²×C₁₃	semidirect
759. C₂²×C₄⋊C₄	C₂²×C₁₃	semidirect
760. C₂²×C₄⋊C₄	C₂²×C₁₃	semidirect
814. C₂×#41	C₂³×C₁₃	semidirect
825. C₂²×Q₈	C₂³×C₁₃	semidirect
856. C₄⋊Q₈	C₂³×C₁₃	semidirect
857. C₄⋊Q₈	C₂³×C₁₃	semidirect
858. C₄⋊Q₈	C₂³×C₁₃	semidirect
859. C₄⋊Q₈	C₂³×C₁₃	semidirect
864. #126	C₂³×C₁₃	semidirect
865. #126	C₂³×C₁₃	semidirect
866. #126	C₂³×C₁₃	semidirect
867. #125	C₂³×C₁₃	semidirect
868. #125	C₂³×C₁₃	semidirect
869. #125	C₂³×C₁₃	semidirect
870. #125	C₂³×C₁₃	semidirect
871. #125	C₂³×C₁₃	semidirect
876. #124	C₂³×C₁₃	semidirect
877. #124	C₂³×C₁₃	semidirect
885. #123	C₂³×C₁₃	semidirect
886. #123	C₂³×C₁₃	semidirect
887. #123	C₂³×C₁₃	semidirect
900. C₂²⋊Q₈	C₂³×C₁₃	semidirect
901. C₂²⋊Q₈	C₂³×C₁₃	semidirect
902. C₂²⋊Q₈	C₂³×C₁₃	semidirect
903. C₂²⋊Q₈	C₂³×C₁₃	semidirect
904. C₂²⋊Q₈	C₂³×C₁₃	semidirect
905. C₂²⋊Q₈	C₂³×C₁₃	semidirect
906. C₂²⋊Q₈	C₂³×C₁₃	semidirect
907. C₂²⋊Q₈	C₂³×C₁₃	semidirect
908. C₂²⋊Q₈	C₂³×C₁₃	semidirect
919. #121	C₂³×C₁₃	semidirect
920. #121	C₂³×C₁₃	semidirect
924. C₄×Q₈	C₂³×C₁₃	semidirect
925. C₄×Q₈	C₂³×C₁₃	semidirect
926. C₄×Q₈	C₂³×C₁₃	semidirect
927. C₄×Q₈	C₂³×C₁₃	semidirect
938. C₄×D₄	C₂³×C₁₃	semidirect
939. C₄×D₄	C₂³×C₁₃	semidirect
942. #117	C₂³×C₁₃	semidirect
943. #117	C₂³×C₁₃	semidirect
975. C₂×C₄⋊C₄	C₂³×C₁₃	semidirect
976. C₂×C₄⋊C₄	C₂³×C₁₃	semidirect
1018. C₂×C₁₃	#3541	direct (N × H)
1188. C₁₃	C₂×#3541	direct (N × H)
1339. C₂	C₁₃×#3541	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×#3541	2
C₂×C₁₃×#563	2
C₂×C₁₃×#562	2
C₂×C₁₃×#556	2
C₂×C₁₃×#554	2
C₂×C₁₃×#553	2
C₂×C₁₃×#552	2
C₂×D₄×Q₈×C₁₃	2
C₂×C₁₃×#548	2
C₂×C₁₃×#547	2
C₂×C₁₃×#542	2
C₂×C₁₃×#541	2
C₂×C₁₃×#539	2
C₂×C₁₃×#538	2
C₂×C₁₃×#537	2
C₂×C₁₃×#536	2
C₂×C₁₃×#525	2
C₂²×C₁₃×C₂²⋊Q₈	2
C₂×#3541	13

Subgroups — C2×C13×#3541 #15749059

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₂×C₁₃×#3541 #15749059