Subgroups — C₁₃×#60767 #15747106

Order 3328.

2208 conjugacy classes of subgroups.

The subgroup lattice has 1358 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₁₃×#3488	C₂	1	1	yes	maximal, characteristic, complemented
2	C₁₃×#3449	C₂	1	1	yes	maximal, characteristic, complemented
3	C₁₃×#3201	C₂	1	2	yes	maximal, complemented
4	C₁₃×#3200	C₂	1	2	yes	maximal, complemented
5	C₁₃×#3199	C₂	1	2	yes	maximal, complemented
6	C₁₃×#3198	C₂	1	2	yes	maximal, complemented
7	C₁₃×#3197	C₂	1	2	yes	maximal, complemented
8	C₁₃×#3194	C₂	1	2	yes	maximal, complemented
9	C₁₃×#3191	C₂	1	2	yes	maximal, complemented
10	C₁₃×#3188	C₂	1	2	yes	maximal, complemented
11	C₁₃×#3099	C₂	1	1	yes	maximal, characteristic, complemented
12	C₁₃×#3098	C₂	1	1	yes	maximal, characteristic, complemented
13	C₁₃×#3093	C₂	1	1	yes	maximal, characteristic, complemented
14	C₂×C₁₃×#482	C₂	1	1	yes	maximal, characteristic, complemented
15	C₁₃×#3062	C₂	1	1	yes	maximal, characteristic, complemented
16	C₁₃×#3062	C₂	1	1	yes	maximal, characteristic, complemented
17	C₁₃×#3061	C₂	1	1	yes	maximal, characteristic, complemented
18	C₁₃×#3060	C₂	1	1	yes	maximal, characteristic, complemented
19	C₁₃×#3012	C₂	1	1	yes	maximal, characteristic, complemented
20	C₁₃×#3012	C₂	1	1	yes	maximal, characteristic, complemented
21	C₁₃×#3006	C₂	1	1	yes	maximal, characteristic, complemented
22	C₁₃×#3002	C₂	1	1	yes	maximal, characteristic, complemented
23	C₁₃×#2880	C₂	1	1	yes	maximal, characteristic, complemented
24	C₂×C₁₃×H(5,𝔽₂)	C₂²	1	1	yes	characteristic, complemented
25	C₂²×C₁₃×#41	C₂²	1	1	yes	characteristic
26	C₂²×C₁₃×#41	C₂²	1	1	yes	characteristic, complemented
27	C₂×C₁₃×AGL(1,ℤ/8)	C₂²	1	1	yes	characteristic, complemented
28	C₂×C₁₃×AGL(1,ℤ/8)	C₂²	1	1	yes	characteristic, complemented
29	C₂×C₁₃×#135	C₂²	1	1	yes	characteristic, complemented
30	C₂×C₁₃×#135	C₂²	1	1	yes	characteristic, complemented
31	C₂×C₁₃×#131	C₂²	1	1	yes	characteristic, complemented
32	C₂×C₁₃×#131	C₂²	1	1	yes	characteristic, complemented
33	C₁₃×#550	—	2	1	no	—
34	C₁₃×#548	—	2	1	no	—
35	C₁₃×#546	—	2	2	no	—
36	C₁₃×#546	—	2	1	no	—
37	D₄²×C₁₃	—	2	1	no	—
38	D₄²×C₁₃	—	2	2	no	—
39	C₁₃×#537	C₂²	1	1	yes	characteristic
40	C₁₃×#537	C₂²	1	1	yes	characteristic
41	C₁₃×#537	C₂²	1	2	yes	—
42	C₁₃×#537	C₂²	1	1	yes	characteristic, complemented
43	C₁₃×#537	C₂²	1	1	yes	characteristic, complemented
44	C₁₃×#537	C₂²	1	1	yes	characteristic, complemented
45	C₁₃×#536	—	2	1	no	—
46	C₁₃×#536	C₂²	1	2	yes	complemented
47	C₁₃×#535	—	2	1	no	—
48	C₁₃×#535	C₂²	1	2	yes	—
49	C₁₃×#535	C₂²	1	1	yes	characteristic, complemented
50	C₁₃×#535	C₂²	1	2	yes	complemented
51	C₁₃×#534	—	2	2	no	—
52	C₁₃×#532	—	2	2	no	—
53	C₁₃×#525	—	2	1	no	—
54	C₁₃×#525	—	2	1	no	—
55	C₁₃×#525	C₂²	1	1	yes	characteristic
56	C₁₃×#525	C₂²	1	2	yes	complemented
57	C₁₃×#525	C₂²	1	2	yes	complemented
58	C₁₃×#525	C₂²	1	2	yes	complemented
59	C₂×C₁₃×#121	C₂²	1	1	yes	characteristic
60	C₂×C₁₃×#121	C₂²	1	2	yes	complemented
61	C₁₃×#520	C₂²	1	1	yes	characteristic, complemented
62	C₂×C₁₃×#117	C₂²	1	1	yes	characteristic, complemented
63	C₁₃×#485	C₂²	1	2	yes	complemented
64	C₁₃×#485	C₂²	1	2	yes	complemented
65	C₁₃×#485	C₂²	1	2	yes	complemented
66	C₁₃×#485	C₂²	1	2	yes	complemented
67	C₁₃×#484	C₂²	1	2	yes	complemented
68	C₁₃×#483	C₂²	1	2	yes	complemented
69	C₁₃×#482	C₂²	1	2	yes	complemented
70	C₁₃×#482	C₂²	1	2	yes	complemented
71	C₁₃×#482	C₂²	1	2	yes	complemented
72	C₁₃×#482	C₂²	1	2	yes	complemented
73	C₁₃×#482	C₂²	1	2	yes	complemented
74	C₁₃×#482	C₂²	1	2	yes	complemented
75	C₁₃×#482	C₂²	1	2	yes	complemented
76	C₁₃×#482	C₂²	1	2	yes	complemented
77	C₁₃×#481	C₂²	1	2	yes	complemented
78	C₁₃×#480	C₂²	1	2	yes	complemented
79	C₁₃×#470	C₂²	1	2	yes	complemented
80	C₁₃×#469	C₂²	1	2	yes	complemented
81	C₁₃×#469	C₂²	1	2	yes	complemented
82	C₁₃×#469	C₂²	1	2	yes	complemented
83	C₁₃×#468	C₂²	1	2	yes	complemented
84	C₁₃×#468	C₂²	1	2	yes	complemented
85	C₁₃×#468	C₂²	1	2	yes	complemented
86	C₁₃×#468	C₂²	1	2	yes	complemented
87	C₁₃×#467	C₂²	1	2	yes	complemented
88	C₁₃×#466	C₂²	1	2	yes	complemented
89	C₁₃×#466	C₂²	1	2	yes	complemented
90	C₁₃×#466	C₂²	1	2	yes	complemented
91	C₁₃×#465	C₂²	1	2	yes	complemented
92	C₁₃×#465	C₂²	1	2	yes	complemented
93	C₁₃×#465	C₂²	1	2	yes	complemented
94	C₁₃×#465	C₂²	1	2	yes	complemented
95	C₁₃×#452	C₂²	1	2	yes	complemented
96	C₁₃×#452	C₂²	1	2	yes	complemented
97	C₁₃×#452	C₂²	1	1	yes	characteristic, complemented
98	C₁₃×#452	C₂²	1	1	yes	characteristic, complemented
99	C₁₃×#451	C₂²	1	1	yes	characteristic, complemented
100	C₁₃×#450	C₂²	1	2	yes	complemented
101	C₁₃×#450	C₂²	1	2	yes	complemented
102	C₁₃×#450	C₂²	1	1	yes	characteristic, complemented
103	C₁₃×#449	C₂²	1	2	yes	complemented
104	C₁₃×#449	C₂²	1	2	yes	complemented
105	C₁₃×#449	C₂²	1	2	yes	complemented
106	C₁₃×#449	C₂²	1	2	yes	complemented
107	C₁₃×#449	C₂²	1	1	yes	characteristic, complemented
108	C₁₃×#449	C₂²	1	1	yes	characteristic, complemented
109	C₁₃×#448	C₂²	1	2	yes	complemented
110	C₁₃×#448	C₂²	1	1	yes	characteristic, complemented
111	C₁₃×#447	C₂²	1	2	yes	complemented
112	C₁₃×#447	C₂²	1	2	yes	complemented
113	C₁₃×#447	C₂²	1	2	yes	complemented
114	C₁₃×#447	C₂²	1	1	yes	characteristic, complemented
115	C₁₃×#428	C₂²	1	1	yes	characteristic, complemented
116	C₁₃×#428	C₂²	1	1	yes	characteristic, complemented
117	C₂×C₁₃×#107	C₂²	1	1	yes	characteristic, complemented
118	C₂×C₁₃×#106	C₂²	1	1	yes	characteristic, complemented
119	C₁₃×#417	C₂²	1	1	yes	characteristic, complemented
120	C₁₃×#417	C₂²	1	1	yes	characteristic, complemented
121	C₁₃×#417	C₂²	1	1	yes	characteristic, complemented
122	C₁₃×#417	C₂²	1	1	yes	characteristic, complemented
123	C₁₃×#416	C₂²	1	1	yes	characteristic, complemented
124	C₁₃×#416	C₂²	1	1	yes	characteristic, complemented
125	C₂×C₁₃×#102	C₂²	1	1	yes	characteristic, complemented
126	C₂×C₁₃×#102	C₂²	1	1	yes	characteristic, complemented
127	C₁₃×#408	C₂²	1	1	yes	characteristic, complemented
128	C₁₃×#408	C₂²	1	1	yes	characteristic, complemented
129	C₁₃×#408	C₂²	1	2	yes	complemented
130	C₁₃×#408	C₂²	1	2	yes	complemented
131	C₁₃×#407	C₂²	1	1	yes	characteristic, complemented
132	C₁₃×#407	C₂²	1	2	yes	complemented
133	C₂×C₁₃×C₂²⋊C₈	C₂²	1	1	yes	characteristic, complemented
134	C₂×C₁₃×C₂²⋊C₈	C₂²	1	2	yes	complemented
135	C₁₃×H(5,𝔽₂)	—	4	2	no	—
136	C₁₃×H(5,𝔽₂)	—	4	2	no	—
137	C₂×C₁₃×#41	—	2	1	no	—
138	C₂×C₁₃×#41	—	2	1	no	—
139	C₂×C₁₃×#41	—	2	1	no	—
140	C₂×C₁₃×#41	—	4	2	no	—
141	C₂×C₁₃×#41	—	4	2	no	—
142	C₂×C₁₃×#41	—	4	2	no	—
143	C₂×C₁₃×#41	—	4	2	no	—
144	C₂×C₁₃×#41	D₄	1	1	yes	characteristic
145	C₂×C₁₃×#41	D₄	1	1	yes	characteristic
146	C₂×C₁₃×#41	D₄	1	2	yes	—
147	C₂×C₁₃×#41	C₂³	1	1	yes	characteristic
148	C₂×C₁₃×#41	C₂³	1	1	yes	characteristic
149	C₂×C₁₃×#41	C₂³	1	1	yes	characteristic
150	C₂×C₁₃×#41	C₂³	1	1	yes	characteristic
151	C₂×C₁₃×#41	C₂³	1	1	yes	characteristic
152	C₂×C₁₃×#41	C₂³	1	2	yes	—
153	C₂×C₁₃×#41	C₂³	1	1	yes	characteristic
154	C₂×C₁₃×#41	C₂³	1	1	yes	characteristic
155	C₂×C₁₃×#41	C₂³	1	2	yes	—
156	C₂²×Q₈×C₁₃	D₄	1	1	yes	characteristic
157	C₂²×Q₈×C₁₃	C₂³	1	1	yes	characteristic
158	C₂²×D₄×C₁₃	—	2	1	no	—
159	C₂²×D₄×C₁₃	—	2	1	no	—
160	C₂²×D₄×C₁₃	—	2	2	no	—
161	C₂²×D₄×C₁₃	—	2	2	no	—
162	C₂²×D₄×C₁₃	—	2	1	no	—
163	C₂²×D₄×C₁₃	D₄	1	2	yes	—
164	C₂²×D₄×C₁₃	D₄	1	1	yes	characteristic
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	C₂³×C₄×C₁₃	—	2	1	no	—
169	C₂³×C₄×C₁₃	C₂³	1	1	yes	characteristic
170	C₂³×C₄×C₁₃	C₂³	1	2	yes	—
171	C₁₃×AGL(1,ℤ/8)	—	4	2	no	—
172	C₁₃×AGL(1,ℤ/8)	—	4	2	no	—
173	C₁₃×#135	—	4	2	no	—
174	C₁₃×#135	—	4	2	no	—
175	C₂×C₁₃×Q₁₆	C₂³	1	1	yes	characteristic
176	C₂×C₁₃×Q₁₆	C₂³	1	1	yes	characteristic
177	C₂×C₁₃×SD₁₆	C₂³	1	1	yes	characteristic
178	C₂×C₁₃×SD₁₆	C₂³	1	1	yes	characteristic
179	C₂×C₁₃×SD₁₆	C₂³	1	2	yes	—
180	C₂×C₁₃×SD₁₆	C₂³	1	2	yes	—
181	C₂×C₁₃×SD₁₆	C₂³	1	1	yes	characteristic
182	C₂×C₁₃×SD₁₆	C₂³	1	1	yes	characteristic
183	C₂×C₁₃×D₈	C₂³	1	1	yes	characteristic
184	C₂×C₁₃×D₈	C₂³	1	1	yes	characteristic
185	C₂×C₁₃×D₈	C₂³	1	2	yes	—
186	C₂×C₁₃×D₈	C₂³	1	2	yes	—
187	C₁₃×#131	—	4	2	no	—
188	C₁₃×#131	—	4	2	no	—
189	C₂×C₁₃×M₁₆	C₂³	1	1	yes	characteristic
190	C₂×C₁₃×M₁₆	C₂³	1	1	yes	characteristic
191	C₂×C₁₃×M₁₆	C₂³	1	2	yes	—
192	C₂×C₁₃×M₁₆	C₂³	1	2	yes	—
193	C₂²×C₈×C₁₃	C₂³	1	1	yes	characteristic
194	C₂²×C₈×C₁₃	C₂³	1	1	yes	characteristic
195	C₂²×C₈×C₁₃	C₂³	1	2	yes	—
196	C₂²×C₈×C₁₃	C₂³	1	2	yes	—
197	C₁₃×C₄⋊Q₈	—	2	2	no	—
198	C₁₃×#127	—	2	2	no	—
199	C₁₃×#127	—	2	2	no	—
200	C₁₃×#127	—	2	1	no	—
201	C₁₃×#124	—	2	2	no	—
202	C₁₃×#124	—	2	2	no	—
203	C₁₃×#124	—	2	1	no	—
204	C₁₃×#124	—	2	2	no	—
205	C₁₃×#123	—	2	2	no	—
206	C₁₃×#123	—	2	2	no	—
207	C₁₃×#123	—	2	1	no	—
208	C₁₃×#123	—	2	2	no	—
209	C₁₃×#123	—	2	2	no	—
210	C₁₃×#123	—	2	2	no	—
211	C₁₃×C₂²⋊Q₈	—	2	1	no	—
212	C₁₃×C₂²⋊Q₈	—	2	1	no	—
213	C₁₃×C₂²⋊Q₈	—	2	1	no	—
214	C₁₃×C₂²⋊Q₈	—	2	1	no	—
215	C₁₃×C₂²⋊Q₈	—	2	2	no	—
216	C₁₃×C₂²⋊Q₈	—	2	1	no	—
217	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
218	C₁₃×C₂²⋊Q₈	C₂³	1	2	yes	—
219	C₁₃×C₂²⋊Q₈	C₂³	1	2	yes	—
220	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
221	C₁₃×C₂²⋊Q₈	C₂³	1	2	yes	—
222	C₁₃×C₂²⋊Q₈	C₂³	1	2	yes	—
223	C₁₃×C₂²⋊Q₈	C₂³	1	2	yes	—
224	C₁₃×#121	—	2	1	no	—
225	C₁₃×#121	—	2	1	no	—
226	C₁₃×#121	—	2	1	no	—
227	C₁₃×#121	—	2	1	no	—
228	C₁₃×#121	—	2	2	no	—
229	C₁₃×#121	—	2	2	no	—
230	C₁₃×#121	—	2	2	no	—
231	C₁₃×#121	—	2	2	no	—
232	C₁₃×#121	—	2	2	no	—
233	C₁₃×#121	—	2	2	no	—
234	C₁₃×#121	—	2	2	no	—
235	C₁₃×#121	—	2	2	no	—
236	C₁₃×#121	—	2	1	no	—
237	C₁₃×#121	—	2	1	no	—
238	C₁₃×#121	—	2	1	no	—
239	C₁₃×#121	—	2	2	no	—
240	C₁₃×#121	—	2	2	no	—
241	C₁₃×#121	C₂³	1	2	yes	—
242	C₁₃×#121	C₂³	1	1	yes	characteristic
243	C₁₃×#121	C₂³	1	2	yes	—
244	C₁₃×#121	C₂³	1	2	yes	—
245	C₁₃×#121	C₂³	1	2	yes	—
246	C₁₃×#121	C₂³	1	1	yes	characteristic
247	C₁₃×#121	C₂³	1	2	yes	—
248	C₁₃×#121	C₂³	1	2	yes	—
249	C₁₃×#121	C₂³	1	2	yes	—
250	C₁₃×#121	C₂³	1	2	yes	—
251	C₁₃×#121	C₂³	1	2	yes	—
252	C₁₃×#120	—	2	1	no	—
253	C₁₃×#120	—	2	2	no	—
254	C₁₃×#120	—	2	2	no	—
255	C₁₃×#120	—	2	2	no	—
256	C₁₃×#120	—	2	2	no	—
257	C₁₃×#120	—	2	2	no	—
258	C₁₃×#120	—	2	2	no	—
259	C₁₃×#120	—	2	2	no	—
260	C₁₃×#120	—	2	2	no	—
261	C₄×Q₈×C₁₃	—	2	1	no	—
262	C₄×D₄×C₁₃	—	2	2	no	—
263	C₄×D₄×C₁₃	—	2	1	no	—
264	C₄×D₄×C₁₃	—	2	2	no	—
265	C₄×D₄×C₁₃	—	2	2	no	—
266	C₄×D₄×C₁₃	—	2	2	no	—
267	C₄×D₄×C₁₃	—	2	2	no	—
268	C₄×D₄×C₁₃	—	2	1	no	—
269	C₄×D₄×C₁₃	—	2	1	no	—
270	C₄×D₄×C₁₃	—	2	2	no	—
271	C₄×D₄×C₁₃	—	2	2	no	—
272	C₁₃×#117	—	2	1	no	—
273	C₁₃×#117	—	2	1	no	—
274	C₁₃×#117	C₂³	1	1	yes	characteristic
275	C₁₃×#117	C₂³	1	2	yes	—
276	C₁₃×#117	C₂³	1	2	yes	—
277	C₁₃×#117	C₂³	1	2	yes	—
278	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
279	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
280	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
281	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
282	C₂×C₁₃×C₂²⋊C₄	—	2	1	no	—
283	C₂×C₁₃×C₂²⋊C₄	—	2	1	no	—
284	C₂×C₁₃×C₂²⋊C₄	—	2	2	no	—
285	C₂×C₄²×C₁₃	—	2	1	no	—
286	C₁₃×#107	C₂³	1	2	yes	—
287	C₁₃×#107	C₂³	1	2	yes	—
288	C₁₃×#107	C₂³	1	2	yes	—
289	C₁₃×#107	C₂³	1	2	yes	—
290	C₁₃×#106	C₂³	1	2	yes	—
291	C₁₃×#106	C₂³	1	2	yes	—
292	C₁₃×#106	C₂³	1	2	yes	—
293	C₁₃×#106	C₂³	1	2	yes	—
294	C₁₃×#103	C₂³	1	1	yes	characteristic
295	C₁₃×#103	C₂³	1	1	yes	characteristic
296	C₁₃×#103	C₂³	1	1	yes	characteristic
297	C₁₃×#103	C₂³	1	1	yes	characteristic
298	C₁₃×#103	C₂³	1	2	yes	—
299	C₁₃×#103	C₂³	1	2	yes	—
300	C₁₃×#103	C₂³	1	2	yes	—
301	C₁₃×#103	C₂³	1	2	yes	—
302	C₁₃×#102	C₂³	1	2	yes	—
303	C₁₃×#102	C₂³	1	2	yes	—
304	C₁₃×#102	C₂³	1	2	yes	—
305	C₁₃×#102	C₂³	1	2	yes	—
306	C₁₃×#102	C₂³	1	1	yes	characteristic
307	C₁₃×#102	C₂³	1	1	yes	characteristic
308	C₁₃×#102	C₂³	1	1	yes	characteristic
309	C₁₃×#102	C₂³	1	1	yes	characteristic
310	C₁₃×#102	C₂³	1	2	yes	—
311	C₁₃×#102	C₂³	1	2	yes	—
312	C₁₃×#102	C₂³	1	2	yes	—
313	C₁₃×#102	C₂³	1	2	yes	—
314	C₁₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
315	C₁₃×C₂²⋊C₈	C₂³	1	2	yes	—
316	C₁₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
317	C₁₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
318	C₁₃×C₂²⋊C₈	C₂³	1	2	yes	—
319	C₁₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
320	C₁₃×C₂²⋊C₈	C₂³	1	2	yes	—
321	C₁₃×C₂²⋊C₈	C₂³	1	2	yes	—
322	C₁₃×C₂²⋊C₈	C₂³	1	2	yes	—
323	C₁₃×C₂²⋊C₈	C₂³	1	2	yes	—
324	#60767	C₁₃	1	1	yes	maximal, characteristic, direct product factor, Sylow
325	C₂⁴×C₁₃	—	2	2	no	—
326	C₂⁴×C₁₃	—	2	1	no	—
327	C₂⁴×C₁₃	—	2	1	no	—
328	C₂⁴×C₁₃	C₂×D₄	1	1	yes	characteristic
329	C₂⁴×C₁₃	C₂×D₄	1	2	yes	—
330	C₁₃×#41	—	2	2	no	—
331	C₁₃×#41	—	2	2	no	—
332	C₁₃×#41	—	2	2	no	—
333	C₁₃×#41	—	2	2	no	—
334	C₁₃×#41	—	2	2	no	—
335	C₁₃×#41	—	2	2	no	—
336	C₁₃×#41	—	2	2	no	—
337	C₁₃×#41	—	2	2	no	—
338	C₁₃×#41	—	2	2	no	—
339	C₁₃×#41	—	2	2	no	—
340	C₁₃×#41	—	4	2	no	—
341	C₁₃×#41	—	4	2	no	—
342	C₁₃×#41	—	4	4	no	—
343	C₁₃×#41	—	4	2	no	—
344	C₁₃×#41	—	4	2	no	—
345	C₁₃×#41	—	4	1	no	—
346	C₁₃×#41	—	4	1	no	—
347	C₁₃×#41	—	4	1	no	—
348	C₁₃×#41	—	4	1	no	—
349	C₁₃×#41	—	4	2	no	—
350	C₁₃×#41	—	4	2	no	—
351	C₁₃×#41	—	4	4	no	—
352	C₁₃×#41	—	4	4	no	—
353	C₁₃×#41	—	4	4	no	—
354	C₂×Q₈×C₁₃	—	2	1	no	—
355	C₂×Q₈×C₁₃	—	4	2	no	—
356	C₂×Q₈×C₁₃	—	4	1	no	—
357	C₂×Q₈×C₁₃	—	4	1	no	—
358	C₂×Q₈×C₁₃	C₂×D₄	1	1	yes	characteristic
359	C₂×Q₈×C₁₃	C₂×D₄	1	1	yes	characteristic
360	C₂×Q₈×C₁₃	C₂×D₄	1	2	yes	—
361	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
362	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
363	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
364	C₂×D₄×C₁₃	—	2	1	no	—
365	C₂×D₄×C₁₃	—	2	2	no	—
366	C₂×D₄×C₁₃	—	2	1	no	—
367	C₂×D₄×C₁₃	—	2	1	no	—
368	C₂×D₄×C₁₃	—	2	2	no	—
369	C₂×D₄×C₁₃	—	2	1	no	—
370	C₂×D₄×C₁₃	—	2	1	no	—
371	C₂×D₄×C₁₃	—	2	1	no	—
372	C₂×D₄×C₁₃	—	2	1	no	—
373	C₂×D₄×C₁₃	—	2	2	no	—
374	C₂×D₄×C₁₃	—	2	2	no	—
375	C₂×D₄×C₁₃	—	2	2	no	—
376	C₂×D₄×C₁₃	—	2	2	no	—
377	C₂×D₄×C₁₃	—	2	2	no	—
378	C₂×D₄×C₁₃	—	2	2	no	—
379	C₂×D₄×C₁₃	—	2	2	no	—
380	C₂×D₄×C₁₃	—	2	2	no	—
381	C₂×D₄×C₁₃	—	2	2	no	—
382	C₂×D₄×C₁₃	—	2	1	no	—
383	C₂×D₄×C₁₃	—	2	1	no	—
384	C₂×D₄×C₁₃	—	2	2	no	—
385	C₂×D₄×C₁₃	—	2	2	no	—
386	C₂×D₄×C₁₃	—	4	2	no	—
387	C₂×D₄×C₁₃	—	4	1	no	—
388	C₂×D₄×C₁₃	—	4	1	no	—
389	C₂×D₄×C₁₃	—	4	2	no	—
390	C₂×D₄×C₁₃	—	4	2	no	—
391	C₂×D₄×C₁₃	—	4	4	no	—
392	C₂×D₄×C₁₃	—	4	8	no	—
393	C₂×D₄×C₁₃	—	4	4	no	—
394	C₂×D₄×C₁₃	—	4	4	no	—
395	C₂×D₄×C₁₃	—	8	2	no	—
396	C₂×D₄×C₁₃	—	8	4	no	—
397	C₂×D₄×C₁₃	C₂×D₄	1	2	yes	—
398	C₂×D₄×C₁₃	C₂×D₄	1	1	yes	characteristic
399	C₂×D₄×C₁₃	C₂×D₄	1	2	yes	—
400	C₂×D₄×C₁₃	C₂×D₄	1	1	yes	characteristic
401	C₂×D₄×C₁₃	C₂×D₄	1	2	yes	—
402	C₂×D₄×C₁₃	C₂×D₄	1	2	yes	—
403	C₂×D₄×C₁₃	C₂×D₄	1	2	yes	—
404	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
405	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
406	C₂×D₄×C₁₃	C₂⁴	1	2	yes	—
407	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
408	C₂²×C₄×C₁₃	—	2	2	no	—
409	C₂²×C₄×C₁₃	—	2	2	no	—
410	C₂²×C₄×C₁₃	—	2	1	no	—
411	C₂²×C₄×C₁₃	—	2	1	no	—
412	C₂²×C₄×C₁₃	—	2	1	no	—
413	C₂²×C₄×C₁₃	—	2	2	no	—
414	C₂²×C₄×C₁₃	—	2	1	no	—
415	C₂²×C₄×C₁₃	—	2	1	no	—
416	C₂²×C₄×C₁₃	—	2	1	no	—
417	C₂²×C₄×C₁₃	—	2	2	no	—
418	C₂²×C₄×C₁₃	—	2	1	no	—
419	C₂²×C₄×C₁₃	—	2	1	no	—
420	C₂²×C₄×C₁₃	—	2	1	no	—
421	C₂²×C₄×C₁₃	—	4	2	no	—
422	C₂²×C₄×C₁₃	—	4	2	no	—
423	C₂²×C₄×C₁₃	—	4	4	no	—
424	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
425	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
426	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
427	C₂²×C₄×C₁₃	C₂×D₄	1	2	yes	—
428	C₂²×C₄×C₁₃	C₂×D₄	1	2	yes	—
429	C₂²×C₄×C₁₃	C₂×D₄	1	2	yes	—
430	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
431	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
432	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
433	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
434	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
435	C₁₃×Q₁₆	—	4	1	no	—
436	C₁₃×Q₁₆	—	4	1	no	—
437	C₁₃×SD₁₆	—	4	1	no	—
438	C₁₃×SD₁₆	—	4	1	no	—
439	C₁₃×SD₁₆	—	4	1	no	—
440	C₁₃×SD₁₆	—	4	1	no	—
441	C₁₃×SD₁₆	—	4	2	no	—
442	C₁₃×SD₁₆	—	4	2	no	—
443	C₁₃×D₈	—	4	1	no	—
444	C₁₃×D₈	—	4	1	no	—
445	C₁₃×D₈	—	4	2	no	—
446	C₁₃×D₈	—	4	2	no	—
447	C₁₃×M₁₆	—	2	2	no	—
448	C₁₃×M₁₆	—	2	2	no	—
449	C₁₃×M₁₆	—	4	2	no	—
450	C₁₃×M₁₆	—	4	2	no	—
451	C₂×C₈×C₁₃	—	2	2	no	—
452	C₂×C₈×C₁₃	—	2	2	no	—
453	C₂×C₈×C₁₃	—	4	2	no	—
454	C₂×C₈×C₁₃	—	4	2	no	—
455	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
456	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
457	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
458	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
459	C₂×C₈×C₁₃	C₂⁴	1	2	yes	—
460	C₂×C₈×C₁₃	C₂⁴	1	2	yes	—
461	C₁₃×C₄⋊C₄	—	2	1	no	—
462	C₁₃×C₄⋊C₄	—	2	1	no	—
463	C₁₃×C₄⋊C₄	—	2	2	no	—
464	C₁₃×C₄⋊C₄	—	2	1	no	—
465	C₁₃×C₄⋊C₄	—	2	1	no	—
466	C₁₃×C₄⋊C₄	—	2	1	no	—
467	C₁₃×C₄⋊C₄	—	2	2	no	—
468	C₁₃×C₄⋊C₄	—	2	2	no	—
469	C₁₃×C₄⋊C₄	—	2	2	no	—
470	C₁₃×C₄⋊C₄	—	2	2	no	—
471	C₁₃×C₄⋊C₄	—	2	2	no	—
472	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
473	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
474	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
475	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
476	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
477	C₁₃×C₂²⋊C₄	—	2	2	no	—
478	C₁₃×C₂²⋊C₄	—	2	2	no	—
479	C₁₃×C₂²⋊C₄	—	2	2	no	—
480	C₁₃×C₂²⋊C₄	—	2	1	no	—
481	C₁₃×C₂²⋊C₄	—	2	1	no	—
482	C₁₃×C₂²⋊C₄	—	2	1	no	—
483	C₁₃×C₂²⋊C₄	—	2	2	no	—
484	C₁₃×C₂²⋊C₄	—	2	2	no	—
485	C₁₃×C₂²⋊C₄	—	2	2	no	—
486	C₁₃×C₂²⋊C₄	—	2	2	no	—
487	C₁₃×C₂²⋊C₄	—	2	2	no	—
488	C₁₃×C₂²⋊C₄	—	2	2	no	—
489	C₁₃×C₂²⋊C₄	—	2	1	no	—
490	C₁₃×C₂²⋊C₄	—	2	2	no	—
491	C₁₃×C₂²⋊C₄	—	2	2	no	—
492	C₁₃×C₂²⋊C₄	—	2	2	no	—
493	C₁₃×C₂²⋊C₄	—	2	1	no	—
494	C₁₃×C₂²⋊C₄	—	2	2	no	—
495	C₁₃×C₂²⋊C₄	—	2	2	no	—
496	C₁₃×C₂²⋊C₄	—	2	2	no	—
497	C₁₃×C₂²⋊C₄	—	2	2	no	—
498	C₁₃×C₂²⋊C₄	—	2	2	no	—
499	C₄²×C₁₃	—	2	2	no	—
500	C₄²×C₁₃	—	2	2	no	—
501	C₄²×C₁₃	—	2	2	no	—
502	C₄²×C₁₃	—	2	1	no	—
503	#3488	C₂×C₁₃	1	1	yes	characteristic, complemented
504	#3449	C₂×C₁₃	1	1	yes	characteristic, complemented
505	#3201	C₂×C₁₃	1	2	yes	complemented
506	#3200	C₂×C₁₃	1	2	yes	complemented
507	#3199	C₂×C₁₃	1	2	yes	complemented
508	#3198	C₂×C₁₃	1	2	yes	complemented
509	#3197	C₂×C₁₃	1	2	yes	complemented
510	#3194	C₂×C₁₃	1	2	yes	complemented
511	#3191	C₂×C₁₃	1	2	yes	complemented
512	#3188	C₂×C₁₃	1	2	yes	complemented
513	#3099	C₂×C₁₃	1	1	yes	characteristic, complemented
514	#3098	C₂×C₁₃	1	1	yes	characteristic, complemented
515	#3093	C₂×C₁₃	1	1	yes	characteristic, complemented
516	C₂×#482	C₂×C₁₃	1	1	yes	characteristic, complemented
517	#3062	C₂×C₁₃	1	1	yes	characteristic, complemented
518	#3062	C₂×C₁₃	1	1	yes	characteristic, complemented
519	#3061	C₂×C₁₃	1	1	yes	characteristic, complemented
520	#3060	C₂×C₁₃	1	1	yes	characteristic, complemented
521	#3012	C₂×C₁₃	1	1	yes	characteristic, complemented
522	#3012	C₂×C₁₃	1	1	yes	characteristic, complemented
523	#3006	C₂×C₁₃	1	1	yes	characteristic, complemented
524	#3002	C₂×C₁₃	1	1	yes	characteristic, complemented
525	#2880	C₂×C₁₃	1	1	yes	characteristic, complemented
526	C₂³×C₁₃	—	2	2	no	—
527	C₂³×C₁₃	—	2	1	no	—
528	C₂³×C₁₃	—	2	1	no	—
529	C₂³×C₁₃	—	2	2	no	—
530	C₂³×C₁₃	—	2	1	no	—
531	C₂³×C₁₃	—	4	2	no	—
532	C₂³×C₁₃	—	4	1	no	—
533	C₂³×C₁₃	—	4	2	no	—
534	C₂³×C₁₃	—	4	1	no	—
535	C₂³×C₁₃	—	4	2	no	—
536	C₂³×C₁₃	—	4	2	no	—
537	C₂³×C₁₃	—	4	4	no	—
538	C₂³×C₁₃	—	4	2	no	—
539	C₂³×C₁₃	—	8	1	no	—
540	C₂³×C₁₃	—	8	1	no	—
541	C₂³×C₁₃	—	8	1	no	—
542	C₂³×C₁₃	—	8	2	no	—
543	C₂³×C₁₃	—	8	1	no	—
544	C₂³×C₁₃	—	8	2	no	—
545	C₂³×C₁₃	C₂²×D₄	1	2	yes	—
546	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
547	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
548	C₂³×C₁₃	C₂²×D₄	1	2	yes	—
549	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
550	Q₈×C₁₃	—	2	2	no	—
551	Q₈×C₁₃	—	2	2	no	—
552	Q₈×C₁₃	—	2	1	no	—
553	Q₈×C₁₃	—	2	1	no	—
554	Q₈×C₁₃	—	2	1	no	—
555	Q₈×C₁₃	—	2	1	no	—
556	Q₈×C₁₃	—	2	1	no	—
557	Q₈×C₁₃	—	2	1	no	—
558	Q₈×C₁₃	—	4	2	no	—
559	Q₈×C₁₃	—	4	2	no	—
560	D₄×C₁₃	—	2	4	no	—
561	D₄×C₁₃	—	2	4	no	—
562	D₄×C₁₃	—	2	2	no	—
563	D₄×C₁₃	—	2	2	no	—
564	D₄×C₁₃	—	2	1	no	—
565	D₄×C₁₃	—	2	1	no	—
566	D₄×C₁₃	—	2	2	no	—
567	D₄×C₁₃	—	2	2	no	—
568	D₄×C₁₃	—	2	1	no	—
569	D₄×C₁₃	—	2	1	no	—
570	D₄×C₁₃	—	2	1	no	—
571	D₄×C₁₃	—	2	1	no	—
572	D₄×C₁₃	—	4	2	no	—
573	D₄×C₁₃	—	4	2	no	—
574	D₄×C₁₃	—	4	2	no	—
575	D₄×C₁₃	—	4	4	no	—
576	D₄×C₁₃	—	4	2	no	—
577	D₄×C₁₃	—	4	4	no	—
578	D₄×C₁₃	—	4	2	no	—
579	D₄×C₁₃	—	4	2	no	—
580	D₄×C₁₃	—	4	2	no	—
581	D₄×C₁₃	—	4	4	no	—
582	D₄×C₁₃	—	4	2	no	—
583	D₄×C₁₃	—	4	2	no	—
584	D₄×C₁₃	—	4	2	no	—
585	D₄×C₁₃	—	4	2	no	—
586	D₄×C₁₃	—	8	2	no	—
587	D₄×C₁₃	—	8	2	no	—
588	D₄×C₁₃	—	8	2	no	—
589	D₄×C₁₃	—	8	1	no	—
590	D₄×C₁₃	—	8	2	no	—
591	D₄×C₁₃	—	8	2	no	—
592	D₄×C₁₃	—	8	2	no	—
593	D₄×C₁₃	—	8	2	no	—
594	D₄×C₁₃	—	8	2	no	—
595	C₂×C₄×C₁₃	—	2	2	no	—
596	C₂×C₄×C₁₃	—	2	2	no	—
597	C₂×C₄×C₁₃	—	2	2	no	—
598	C₂×C₄×C₁₃	—	2	2	no	—
599	C₂×C₄×C₁₃	—	2	2	no	—
600	C₂×C₄×C₁₃	—	2	1	no	—
601	C₂×C₄×C₁₃	—	2	1	no	—
602	C₂×C₄×C₁₃	—	2	1	no	—
603	C₂×C₄×C₁₃	—	2	1	no	—
604	C₂×C₄×C₁₃	—	2	2	no	—
605	C₂×C₄×C₁₃	—	2	2	no	—
606	C₂×C₄×C₁₃	—	2	1	no	—
607	C₂×C₄×C₁₃	—	2	2	no	—
608	C₂×C₄×C₁₃	—	2	2	no	—
609	C₂×C₄×C₁₃	—	2	2	no	—
610	C₂×C₄×C₁₃	—	2	1	no	—
611	C₂×C₄×C₁₃	—	2	1	no	—
612	C₂×C₄×C₁₃	—	2	1	no	—
613	C₂×C₄×C₁₃	—	2	1	no	—
614	C₂×C₄×C₁₃	—	4	2	no	—
615	C₂×C₄×C₁₃	—	4	2	no	—
616	C₂×C₄×C₁₃	—	4	2	no	—
617	C₂×C₄×C₁₃	—	4	2	no	—
618	C₂×C₄×C₁₃	—	4	2	no	—
619	C₂×C₄×C₁₃	—	4	4	no	—
620	C₂×C₄×C₁₃	—	4	2	no	—
621	C₂×C₄×C₁₃	—	4	2	no	—
622	C₂×C₄×C₁₃	—	4	2	no	—
623	C₂×C₄×C₁₃	—	4	2	no	—
624	C₂×C₄×C₁₃	—	8	1	no	—
625	C₂×C₄×C₁₃	—	8	1	no	—
626	C₂×C₄×C₁₃	—	8	1	no	—
627	C₂×C₄×C₁₃	—	8	2	no	—
628	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
629	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
630	C₂×C₄×C₁₃	C₂²×D₄	1	2	yes	—
631	C₂×C₄×C₁₃	C₂²×D₄	1	2	yes	—
632	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
633	C₂×C₄×C₁₃	H(5,𝔽₂)	1	2	yes	—
634	C₂×C₄×C₁₃	H(5,𝔽₂)	1	2	yes	—
635	C₂×C₄×C₁₃	C₂⁵	1	1	yes	characteristic
636	C₈×C₁₃	—	2	1	no	—
637	C₈×C₁₃	—	2	1	no	—
638	C₈×C₁₃	—	2	1	no	—
639	C₈×C₁₃	—	2	1	no	—
640	C₈×C₁₃	—	2	2	no	—
641	C₈×C₁₃	—	2	2	no	—
642	C₂×H(5,𝔽₂)	C₂²×C₁₃	1	1	yes	characteristic, complemented
643	C₂²×#41	C₂²×C₁₃	1	1	yes	characteristic
644	C₂²×#41	C₂²×C₁₃	1	1	yes	characteristic, complemented
645	C₂×AGL(1,ℤ/8)	C₂²×C₁₃	1	1	yes	characteristic, complemented
646	C₂×AGL(1,ℤ/8)	C₂²×C₁₃	1	1	yes	characteristic, complemented
647	C₂×#135	C₂²×C₁₃	1	1	yes	characteristic, complemented
648	C₂×#135	C₂²×C₁₃	1	1	yes	characteristic, complemented
649	C₂×#131	C₂²×C₁₃	1	1	yes	characteristic, complemented
650	C₂×#131	C₂²×C₁₃	1	1	yes	characteristic, complemented
651	#550	—	2	1	no	—
652	#548	—	2	1	no	—
653	#546	—	2	2	no	—
654	#546	—	2	1	no	—
655	D₄²	—	2	1	no	—
656	D₄²	—	2	2	no	—
657	#537	C₂²×C₁₃	1	1	yes	characteristic
658	#537	C₂²×C₁₃	1	1	yes	characteristic
659	#537	C₂²×C₁₃	1	2	yes	—
660	#537	C₂²×C₁₃	1	1	yes	characteristic, complemented
661	#537	C₂²×C₁₃	1	1	yes	characteristic, complemented
662	#537	C₂²×C₁₃	1	1	yes	characteristic, complemented
663	#536	—	2	1	no	—
664	#536	C₂²×C₁₃	1	2	yes	complemented
665	#535	—	2	1	no	—
666	#535	C₂²×C₁₃	1	2	yes	—
667	#535	C₂²×C₁₃	1	2	yes	complemented
668	#535	C₂²×C₁₃	1	1	yes	characteristic, complemented
669	#534	—	2	2	no	—
670	#532	—	2	2	no	—
671	#525	—	2	1	no	—
672	#525	—	2	1	no	—
673	#525	C₂²×C₁₃	1	1	yes	characteristic
674	#525	C₂²×C₁₃	1	2	yes	complemented
675	#525	C₂²×C₁₃	1	2	yes	complemented
676	#525	C₂²×C₁₃	1	2	yes	complemented
677	C₂×#121	C₂²×C₁₃	1	1	yes	characteristic
678	C₂×#121	C₂²×C₁₃	1	2	yes	complemented
679	#520	C₂²×C₁₃	1	1	yes	characteristic, complemented
680	C₂×#117	C₂²×C₁₃	1	1	yes	characteristic, complemented
681	#485	C₂²×C₁₃	1	2	yes	complemented
682	#485	C₂²×C₁₃	1	2	yes	complemented
683	#485	C₂²×C₁₃	1	2	yes	complemented
684	#485	C₂²×C₁₃	1	2	yes	complemented
685	#484	C₂²×C₁₃	1	2	yes	complemented
686	#483	C₂²×C₁₃	1	2	yes	complemented
687	#482	C₂²×C₁₃	1	2	yes	complemented
688	#482	C₂²×C₁₃	1	2	yes	complemented
689	#482	C₂²×C₁₃	1	2	yes	complemented
690	#482	C₂²×C₁₃	1	2	yes	complemented
691	#482	C₂²×C₁₃	1	2	yes	complemented
692	#482	C₂²×C₁₃	1	2	yes	complemented
693	#482	C₂²×C₁₃	1	2	yes	complemented
694	#482	C₂²×C₁₃	1	2	yes	complemented
695	#481	C₂²×C₁₃	1	2	yes	complemented
696	#480	C₂²×C₁₃	1	2	yes	complemented
697	#470	C₂²×C₁₃	1	2	yes	complemented
698	#469	C₂²×C₁₃	1	2	yes	complemented
699	#469	C₂²×C₁₃	1	2	yes	complemented
700	#469	C₂²×C₁₃	1	2	yes	complemented
701	#468	C₂²×C₁₃	1	2	yes	complemented
702	#468	C₂²×C₁₃	1	2	yes	complemented
703	#468	C₂²×C₁₃	1	2	yes	complemented
704	#468	C₂²×C₁₃	1	2	yes	complemented
705	#467	C₂²×C₁₃	1	2	yes	complemented
706	#466	C₂²×C₁₃	1	2	yes	complemented
707	#466	C₂²×C₁₃	1	2	yes	complemented
708	#466	C₂²×C₁₃	1	2	yes	complemented
709	#465	C₂²×C₁₃	1	2	yes	complemented
710	#465	C₂²×C₁₃	1	2	yes	complemented
711	#465	C₂²×C₁₃	1	2	yes	complemented
712	#465	C₂²×C₁₃	1	2	yes	complemented
713	#452	C₂²×C₁₃	1	1	yes	characteristic, complemented
714	#452	C₂²×C₁₃	1	2	yes	complemented
715	#452	C₂²×C₁₃	1	1	yes	characteristic, complemented
716	#452	C₂²×C₁₃	1	2	yes	complemented
717	#451	C₂²×C₁₃	1	1	yes	characteristic, complemented
718	#450	C₂²×C₁₃	1	2	yes	complemented
719	#450	C₂²×C₁₃	1	2	yes	complemented
720	#450	C₂²×C₁₃	1	1	yes	characteristic, complemented
721	#449	C₂²×C₁₃	1	1	yes	characteristic, complemented
722	#449	C₂²×C₁₃	1	2	yes	complemented
723	#449	C₂²×C₁₃	1	2	yes	complemented
724	#449	C₂²×C₁₃	1	2	yes	complemented
725	#449	C₂²×C₁₃	1	1	yes	characteristic, complemented
726	#449	C₂²×C₁₃	1	2	yes	complemented
727	#448	C₂²×C₁₃	1	1	yes	characteristic, complemented
728	#448	C₂²×C₁₃	1	2	yes	complemented
729	#447	C₂²×C₁₃	1	2	yes	complemented
730	#447	C₂²×C₁₃	1	2	yes	complemented
731	#447	C₂²×C₁₃	1	2	yes	complemented
732	#447	C₂²×C₁₃	1	1	yes	characteristic, complemented
733	#428	C₂²×C₁₃	1	1	yes	characteristic, complemented
734	#428	C₂²×C₁₃	1	1	yes	characteristic, complemented
735	C₂×#107	C₂²×C₁₃	1	1	yes	characteristic, complemented
736	C₂×#106	C₂²×C₁₃	1	1	yes	characteristic, complemented
737	#417	C₂²×C₁₃	1	1	yes	characteristic, complemented
738	#417	C₂²×C₁₃	1	1	yes	characteristic, complemented
739	#417	C₂²×C₁₃	1	1	yes	characteristic, complemented
740	#417	C₂²×C₁₃	1	1	yes	characteristic, complemented
741	#416	C₂²×C₁₃	1	1	yes	characteristic, complemented
742	#416	C₂²×C₁₃	1	1	yes	characteristic, complemented
743	C₂×#102	C₂²×C₁₃	1	1	yes	characteristic, complemented
744	C₂×#102	C₂²×C₁₃	1	1	yes	characteristic, complemented
745	#408	C₂²×C₁₃	1	1	yes	characteristic, complemented
746	#408	C₂²×C₁₃	1	1	yes	characteristic, complemented
747	#408	C₂²×C₁₃	1	2	yes	complemented
748	#408	C₂²×C₁₃	1	2	yes	complemented
749	#407	C₂²×C₁₃	1	1	yes	characteristic, complemented
750	#407	C₂²×C₁₃	1	2	yes	complemented
751	C₂×C₂²⋊C₈	C₂²×C₁₃	1	1	yes	characteristic, complemented
752	C₂×C₂²⋊C₈	C₂²×C₁₃	1	2	yes	complemented
753	C₂²×C₁₃	—	2	1	no	—
754	C₂²×C₁₃	—	2	1	no	—
755	C₂²×C₁₃	—	2	2	no	—
756	C₂²×C₁₃	—	2	1	no	—
757	C₂²×C₁₃	—	2	2	no	—
758	C₂²×C₁₃	—	2	1	no	—
759	C₂²×C₁₃	—	2	2	no	—
760	C₂²×C₁₃	—	2	1	no	—
761	C₂²×C₁₃	—	2	2	no	—
762	C₂²×C₁₃	—	2	1	no	—
763	C₂²×C₁₃	—	2	1	no	—
764	C₂²×C₁₃	—	2	1	no	—
765	C₂²×C₁₃	—	2	2	no	—
766	C₂²×C₁₃	—	2	2	no	—
767	C₂²×C₁₃	—	4	1	no	—
768	C₂²×C₁₃	—	4	1	no	—
769	C₂²×C₁₃	—	4	2	no	—
770	C₂²×C₁₃	—	4	1	no	—
771	C₂²×C₁₃	—	4	2	no	—
772	C₂²×C₁₃	—	4	1	no	—
773	C₂²×C₁₃	—	4	1	no	—
774	C₂²×C₁₃	—	4	1	no	—
775	C₂²×C₁₃	—	4	1	no	—
776	C₂²×C₁₃	—	4	1	no	—
777	C₂²×C₁₃	—	4	2	no	—
778	C₂²×C₁₃	—	4	1	no	—
779	C₂²×C₁₃	—	8	2	no	—
780	C₂²×C₁₃	—	8	4	no	—
781	C₂²×C₁₃	—	8	4	no	—
782	C₂²×C₁₃	—	16	2	no	—
783	C₂²×C₁₃	—	16	4	no	—
784	C₂²×C₁₃	#534	1	2	yes	—
785	C₂²×C₁₃	C₂³×D₄	1	1	yes	characteristic
786	C₄×C₁₃	—	2	1	no	—
787	C₄×C₁₃	—	2	1	no	—
788	C₄×C₁₃	—	2	2	no	—
789	C₄×C₁₃	—	2	2	no	—
790	C₄×C₁₃	—	4	2	no	—
791	C₄×C₁₃	—	4	1	no	—
792	C₄×C₁₃	—	4	2	no	—
793	C₄×C₁₃	—	4	1	no	—
794	C₄×C₁₃	—	4	2	no	—
795	C₄×C₁₃	—	4	1	no	—
796	C₄×C₁₃	—	4	1	no	—
797	C₄×C₁₃	—	4	1	no	—
798	C₄×C₁₃	#534	1	2	yes	—
799	C₄×C₁₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
800	C₄×C₁₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
801	H(5,𝔽₂)	—	4	2	no	—
802	H(5,𝔽₂)	—	4	2	no	—
803	C₂×#41	—	2	1	no	—
804	C₂×#41	—	2	1	no	—
805	C₂×#41	—	2	1	no	—
806	C₂×#41	—	4	2	no	—
807	C₂×#41	—	4	2	no	—
808	C₂×#41	—	4	2	no	—
809	C₂×#41	—	4	2	no	—
810	C₂×#41	D₄×C₁₃	1	1	yes	characteristic
811	C₂×#41	D₄×C₁₃	1	1	yes	characteristic
812	C₂×#41	D₄×C₁₃	1	2	yes	—
813	C₂×#41	C₂³×C₁₃	1	1	yes	characteristic
814	C₂×#41	C₂³×C₁₃	1	1	yes	characteristic
815	C₂×#41	C₂³×C₁₃	1	1	yes	characteristic
816	C₂×#41	C₂³×C₁₃	1	1	yes	characteristic
817	C₂×#41	C₂³×C₁₃	1	1	yes	characteristic
818	C₂×#41	C₂³×C₁₃	1	2	yes	—
819	C₂×#41	C₂³×C₁₃	1	1	yes	characteristic
820	C₂×#41	C₂³×C₁₃	1	1	yes	characteristic
821	C₂×#41	C₂³×C₁₃	1	2	yes	—
822	C₂²×Q₈	D₄×C₁₃	1	1	yes	characteristic
823	C₂²×Q₈	C₂³×C₁₃	1	1	yes	characteristic
824	C₂²×D₄	—	2	1	no	—
825	C₂²×D₄	—	2	1	no	—
826	C₂²×D₄	—	2	2	no	—
827	C₂²×D₄	—	2	2	no	—
828	C₂²×D₄	—	2	1	no	—
829	C₂²×D₄	D₄×C₁₃	1	2	yes	—
830	C₂²×D₄	D₄×C₁₃	1	1	yes	characteristic
831	C₂²×D₄	C₂³×C₁₃	1	1	yes	characteristic
832	C₂²×D₄	C₂³×C₁₃	1	2	yes	—
833	C₂²×D₄	C₂³×C₁₃	1	1	yes	characteristic
834	C₂³×C₄	—	2	1	no	—
835	C₂³×C₄	C₂³×C₁₃	1	1	yes	characteristic
836	C₂³×C₄	C₂³×C₁₃	1	2	yes	—
837	AGL(1,ℤ/8)	—	4	2	no	—
838	AGL(1,ℤ/8)	—	4	2	no	—
839	#135	—	4	2	no	—
840	#135	—	4	2	no	—
841	C₂×Q₁₆	C₂³×C₁₃	1	1	yes	characteristic
842	C₂×Q₁₆	C₂³×C₁₃	1	1	yes	characteristic
843	C₂×SD₁₆	C₂³×C₁₃	1	1	yes	characteristic
844	C₂×SD₁₆	C₂³×C₁₃	1	1	yes	characteristic
845	C₂×SD₁₆	C₂³×C₁₃	1	1	yes	characteristic
846	C₂×SD₁₆	C₂³×C₁₃	1	1	yes	characteristic
847	C₂×SD₁₆	C₂³×C₁₃	1	2	yes	—
848	C₂×SD₁₆	C₂³×C₁₃	1	2	yes	—
849	C₂×D₈	C₂³×C₁₃	1	1	yes	characteristic
850	C₂×D₈	C₂³×C₁₃	1	1	yes	characteristic
851	C₂×D₈	C₂³×C₁₃	1	2	yes	—
852	C₂×D₈	C₂³×C₁₃	1	2	yes	—
853	#131	—	4	2	no	—
854	#131	—	4	2	no	—
855	C₂×M₁₆	C₂³×C₁₃	1	1	yes	characteristic
856	C₂×M₁₆	C₂³×C₁₃	1	1	yes	characteristic
857	C₂×M₁₆	C₂³×C₁₃	1	2	yes	—
858	C₂×M₁₆	C₂³×C₁₃	1	2	yes	—
859	C₂²×C₈	C₂³×C₁₃	1	1	yes	characteristic
860	C₂²×C₈	C₂³×C₁₃	1	1	yes	characteristic
861	C₂²×C₈	C₂³×C₁₃	1	2	yes	—
862	C₂²×C₈	C₂³×C₁₃	1	2	yes	—
863	C₄⋊Q₈	—	2	2	no	—
864	#127	—	2	2	no	—
865	#127	—	2	2	no	—
866	#127	—	2	1	no	—
867	#124	—	2	2	no	—
868	#124	—	2	2	no	—
869	#124	—	2	1	no	—
870	#124	—	2	2	no	—
871	#123	—	2	2	no	—
872	#123	—	2	2	no	—
873	#123	—	2	1	no	—
874	#123	—	2	2	no	—
875	#123	—	2	2	no	—
876	#123	—	2	2	no	—
877	C₂²⋊Q₈	—	2	1	no	—
878	C₂²⋊Q₈	—	2	1	no	—
879	C₂²⋊Q₈	—	2	1	no	—
880	C₂²⋊Q₈	—	2	1	no	—
881	C₂²⋊Q₈	—	2	2	no	—
882	C₂²⋊Q₈	—	2	1	no	—
883	C₂²⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
884	C₂²⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
885	C₂²⋊Q₈	C₂³×C₁₃	1	2	yes	—
886	C₂²⋊Q₈	C₂³×C₁₃	1	2	yes	—
887	C₂²⋊Q₈	C₂³×C₁₃	1	2	yes	—
888	C₂²⋊Q₈	C₂³×C₁₃	1	2	yes	—
889	C₂²⋊Q₈	C₂³×C₁₃	1	2	yes	—
890	#121	—	2	1	no	—
891	#121	—	2	1	no	—
892	#121	—	2	1	no	—
893	#121	—	2	1	no	—
894	#121	—	2	2	no	—
895	#121	—	2	2	no	—
896	#121	—	2	2	no	—
897	#121	—	2	2	no	—
898	#121	—	2	2	no	—
899	#121	—	2	2	no	—
900	#121	—	2	2	no	—
901	#121	—	2	2	no	—
902	#121	—	2	1	no	—
903	#121	—	2	1	no	—
904	#121	—	2	1	no	—
905	#121	—	2	2	no	—
906	#121	—	2	2	no	—
907	#121	C₂³×C₁₃	1	2	yes	—
908	#121	C₂³×C₁₃	1	2	yes	—
909	#121	C₂³×C₁₃	1	1	yes	characteristic
910	#121	C₂³×C₁₃	1	2	yes	—
911	#121	C₂³×C₁₃	1	2	yes	—
912	#121	C₂³×C₁₃	1	1	yes	characteristic
913	#121	C₂³×C₁₃	1	2	yes	—
914	#121	C₂³×C₁₃	1	2	yes	—
915	#121	C₂³×C₁₃	1	2	yes	—
916	#121	C₂³×C₁₃	1	2	yes	—
917	#121	C₂³×C₁₃	1	2	yes	—
918	#120	—	2	1	no	—
919	#120	—	2	2	no	—
920	#120	—	2	2	no	—
921	#120	—	2	2	no	—
922	#120	—	2	2	no	—
923	#120	—	2	2	no	—
924	#120	—	2	2	no	—
925	#120	—	2	2	no	—
926	#120	—	2	2	no	—
927	C₄×Q₈	—	2	1	no	—
928	C₄×D₄	—	2	2	no	—
929	C₄×D₄	—	2	1	no	—
930	C₄×D₄	—	2	2	no	—
931	C₄×D₄	—	2	2	no	—
932	C₄×D₄	—	2	2	no	—
933	C₄×D₄	—	2	2	no	—
934	C₄×D₄	—	2	1	no	—
935	C₄×D₄	—	2	1	no	—
936	C₄×D₄	—	2	2	no	—
937	C₄×D₄	—	2	2	no	—
938	#117	—	2	1	no	—
939	#117	—	2	1	no	—
940	#117	C₂³×C₁₃	1	2	yes	—
941	#117	C₂³×C₁₃	1	2	yes	—
942	#117	C₂³×C₁₃	1	1	yes	characteristic
943	#117	C₂³×C₁₃	1	2	yes	—
944	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
945	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
946	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
947	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
948	C₂×C₂²⋊C₄	—	2	1	no	—
949	C₂×C₂²⋊C₄	—	2	1	no	—
950	C₂×C₂²⋊C₄	—	2	2	no	—
951	C₂×C₄²	—	2	1	no	—
952	#107	C₂³×C₁₃	1	2	yes	—
953	#107	C₂³×C₁₃	1	2	yes	—
954	#107	C₂³×C₁₃	1	2	yes	—
955	#107	C₂³×C₁₃	1	2	yes	—
956	#106	C₂³×C₁₃	1	2	yes	—
957	#106	C₂³×C₁₃	1	2	yes	—
958	#106	C₂³×C₁₃	1	2	yes	—
959	#106	C₂³×C₁₃	1	2	yes	—
960	#103	C₂³×C₁₃	1	1	yes	characteristic
961	#103	C₂³×C₁₃	1	1	yes	characteristic
962	#103	C₂³×C₁₃	1	1	yes	characteristic
963	#103	C₂³×C₁₃	1	1	yes	characteristic
964	#103	C₂³×C₁₃	1	2	yes	—
965	#103	C₂³×C₁₃	1	2	yes	—
966	#103	C₂³×C₁₃	1	2	yes	—
967	#103	C₂³×C₁₃	1	2	yes	—
968	#102	C₂³×C₁₃	1	2	yes	—
969	#102	C₂³×C₁₃	1	2	yes	—
970	#102	C₂³×C₁₃	1	2	yes	—
971	#102	C₂³×C₁₃	1	2	yes	—
972	#102	C₂³×C₁₃	1	1	yes	characteristic
973	#102	C₂³×C₁₃	1	1	yes	characteristic
974	#102	C₂³×C₁₃	1	1	yes	characteristic
975	#102	C₂³×C₁₃	1	1	yes	characteristic
976	#102	C₂³×C₁₃	1	2	yes	—
977	#102	C₂³×C₁₃	1	2	yes	—
978	#102	C₂³×C₁₃	1	2	yes	—
979	#102	C₂³×C₁₃	1	2	yes	—
980	C₂²⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
981	C₂²⋊C₈	C₂³×C₁₃	1	2	yes	—
982	C₂²⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
983	C₂²⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
984	C₂²⋊C₈	C₂³×C₁₃	1	2	yes	—
985	C₂²⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
986	C₂²⋊C₈	C₂³×C₁₃	1	2	yes	—
987	C₂²⋊C₈	C₂³×C₁₃	1	2	yes	—
988	C₂²⋊C₈	C₂³×C₁₃	1	2	yes	—
989	C₂²⋊C₈	C₂³×C₁₃	1	2	yes	—
990	C₂×C₁₃	—	2	2	no	—
991	C₂×C₁₃	—	4	2	no	—
992	C₂×C₁₃	—	4	1	no	—
993	C₂×C₁₃	—	4	1	no	—
994	C₂×C₁₃	—	4	2	no	—
995	C₂×C₁₃	—	8	1	no	—
996	C₂×C₁₃	—	8	1	no	—
997	C₂×C₁₃	—	8	2	no	—
998	C₂×C₁₃	—	8	1	no	—
999	C₂×C₁₃	C₂×#534	1	1	yes	characteristic
1000	C₂×C₁₃	#3584	1	1	yes	characteristic
1001	C₂×C₁₃	#3585	1	1	yes	characteristic
1002	C₂⁴	—	2	2	no	—
1003	C₂⁴	—	2	1	no	—
1004	C₂⁴	—	2	1	no	—
1005	C₂⁴	C₂×D₄×C₁₃	1	1	yes	characteristic
1006	C₂⁴	C₂×D₄×C₁₃	1	2	yes	—
1007	#41	—	2	2	no	—
1008	#41	—	2	2	no	—
1009	#41	—	2	2	no	—
1010	#41	—	2	2	no	—
1011	#41	—	2	2	no	—
1012	#41	—	2	2	no	—
1013	#41	—	2	2	no	—
1014	#41	—	2	2	no	—
1015	#41	—	2	2	no	—
1016	#41	—	2	2	no	—
1017	#41	—	4	2	no	—
1018	#41	—	4	2	no	—
1019	#41	—	4	4	no	—
1020	#41	—	4	2	no	—
1021	#41	—	4	2	no	—
1022	#41	—	4	1	no	—
1023	#41	—	4	1	no	—
1024	#41	—	4	1	no	—
1025	#41	—	4	1	no	—
1026	#41	—	4	2	no	—
1027	#41	—	4	2	no	—
1028	#41	—	4	4	no	—
1029	#41	—	4	4	no	—
1030	#41	—	4	4	no	—
1031	C₂×Q₈	—	2	1	no	—
1032	C₂×Q₈	—	4	2	no	—
1033	C₂×Q₈	—	4	1	no	—
1034	C₂×Q₈	—	4	1	no	—
1035	C₂×Q₈	C₂×D₄×C₁₃	1	1	yes	characteristic
1036	C₂×Q₈	C₂×D₄×C₁₃	1	1	yes	characteristic
1037	C₂×Q₈	C₂×D₄×C₁₃	1	2	yes	—
1038	C₂×Q₈	C₂⁴×C₁₃	1	1	yes	characteristic
1039	C₂×Q₈	C₂⁴×C₁₃	1	1	yes	characteristic
1040	C₂×Q₈	C₂⁴×C₁₃	1	1	yes	characteristic
1041	C₂×D₄	—	2	1	no	—
1042	C₂×D₄	—	2	2	no	—
1043	C₂×D₄	—	2	1	no	—
1044	C₂×D₄	—	2	1	no	—
1045	C₂×D₄	—	2	2	no	—
1046	C₂×D₄	—	2	1	no	—
1047	C₂×D₄	—	2	1	no	—
1048	C₂×D₄	—	2	1	no	—
1049	C₂×D₄	—	2	1	no	—
1050	C₂×D₄	—	2	2	no	—
1051	C₂×D₄	—	2	2	no	—
1052	C₂×D₄	—	2	2	no	—
1053	C₂×D₄	—	2	2	no	—
1054	C₂×D₄	—	2	2	no	—
1055	C₂×D₄	—	2	2	no	—
1056	C₂×D₄	—	2	2	no	—
1057	C₂×D₄	—	2	2	no	—
1058	C₂×D₄	—	2	2	no	—
1059	C₂×D₄	—	2	1	no	—
1060	C₂×D₄	—	2	1	no	—
1061	C₂×D₄	—	2	2	no	—
1062	C₂×D₄	—	2	2	no	—
1063	C₂×D₄	—	4	2	no	—
1064	C₂×D₄	—	4	1	no	—
1065	C₂×D₄	—	4	1	no	—
1066	C₂×D₄	—	4	2	no	—
1067	C₂×D₄	—	4	2	no	—
1068	C₂×D₄	—	4	4	no	—
1069	C₂×D₄	—	4	8	no	—
1070	C₂×D₄	—	4	4	no	—
1071	C₂×D₄	—	4	4	no	—
1072	C₂×D₄	—	8	2	no	—
1073	C₂×D₄	—	8	4	no	—
1074	C₂×D₄	C₂×D₄×C₁₃	1	2	yes	—
1075	C₂×D₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1076	C₂×D₄	C₂×D₄×C₁₃	1	2	yes	—
1077	C₂×D₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1078	C₂×D₄	C₂×D₄×C₁₃	1	2	yes	—
1079	C₂×D₄	C₂×D₄×C₁₃	1	2	yes	—
1080	C₂×D₄	C₂×D₄×C₁₃	1	2	yes	—
1081	C₂×D₄	C₂⁴×C₁₃	1	1	yes	characteristic
1082	C₂×D₄	C₂⁴×C₁₃	1	1	yes	characteristic
1083	C₂×D₄	C₂⁴×C₁₃	1	2	yes	—
1084	C₂×D₄	C₂⁴×C₁₃	1	1	yes	characteristic
1085	C₂²×C₄	—	2	2	no	—
1086	C₂²×C₄	—	2	2	no	—
1087	C₂²×C₄	—	2	1	no	—
1088	C₂²×C₄	—	2	1	no	—
1089	C₂²×C₄	—	2	1	no	—
1090	C₂²×C₄	—	2	2	no	—
1091	C₂²×C₄	—	2	1	no	—
1092	C₂²×C₄	—	2	1	no	—
1093	C₂²×C₄	—	2	1	no	—
1094	C₂²×C₄	—	2	2	no	—
1095	C₂²×C₄	—	2	1	no	—
1096	C₂²×C₄	—	2	1	no	—
1097	C₂²×C₄	—	2	1	no	—
1098	C₂²×C₄	—	4	2	no	—
1099	C₂²×C₄	—	4	2	no	—
1100	C₂²×C₄	—	4	4	no	—
1101	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1102	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1103	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1104	C₂²×C₄	C₂×D₄×C₁₃	1	2	yes	—
1105	C₂²×C₄	C₂×D₄×C₁₃	1	2	yes	—
1106	C₂²×C₄	C₂×D₄×C₁₃	1	2	yes	—
1107	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
1108	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1109	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1110	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
1111	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1112	Q₁₆	—	4	1	no	—
1113	Q₁₆	—	4	1	no	—
1114	SD₁₆	—	4	1	no	—
1115	SD₁₆	—	4	1	no	—
1116	SD₁₆	—	4	1	no	—
1117	SD₁₆	—	4	1	no	—
1118	SD₁₆	—	4	2	no	—
1119	SD₁₆	—	4	2	no	—
1120	D₈	—	4	1	no	—
1121	D₈	—	4	1	no	—
1122	D₈	—	4	2	no	—
1123	D₈	—	4	2	no	—
1124	M₁₆	—	2	2	no	—
1125	M₁₆	—	2	2	no	—
1126	M₁₆	—	4	2	no	—
1127	M₁₆	—	4	2	no	—
1128	C₂×C₈	—	2	2	no	—
1129	C₂×C₈	—	2	2	no	—
1130	C₂×C₈	—	4	2	no	—
1131	C₂×C₈	—	4	2	no	—
1132	C₂×C₈	C₂⁴×C₁₃	1	1	yes	characteristic
1133	C₂×C₈	C₂⁴×C₁₃	1	1	yes	characteristic
1134	C₂×C₈	C₂⁴×C₁₃	1	1	yes	characteristic
1135	C₂×C₈	C₂⁴×C₁₃	1	1	yes	characteristic
1136	C₂×C₈	C₂⁴×C₁₃	1	2	yes	—
1137	C₂×C₈	C₂⁴×C₁₃	1	2	yes	—
1138	C₄⋊C₄	—	2	1	no	—
1139	C₄⋊C₄	—	2	1	no	—
1140	C₄⋊C₄	—	2	2	no	—
1141	C₄⋊C₄	—	2	1	no	—
1142	C₄⋊C₄	—	2	1	no	—
1143	C₄⋊C₄	—	2	1	no	—
1144	C₄⋊C₄	—	2	2	no	—
1145	C₄⋊C₄	—	2	2	no	—
1146	C₄⋊C₄	—	2	2	no	—
1147	C₄⋊C₄	—	2	2	no	—
1148	C₄⋊C₄	—	2	2	no	—
1149	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
1150	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
1151	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1152	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
1153	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1154	C₂²⋊C₄	—	2	2	no	—
1155	C₂²⋊C₄	—	2	2	no	—
1156	C₂²⋊C₄	—	2	2	no	—
1157	C₂²⋊C₄	—	2	1	no	—
1158	C₂²⋊C₄	—	2	1	no	—
1159	C₂²⋊C₄	—	2	1	no	—
1160	C₂²⋊C₄	—	2	2	no	—
1161	C₂²⋊C₄	—	2	2	no	—
1162	C₂²⋊C₄	—	2	2	no	—
1163	C₂²⋊C₄	—	2	2	no	—
1164	C₂²⋊C₄	—	2	2	no	—
1165	C₂²⋊C₄	—	2	2	no	—
1166	C₂²⋊C₄	—	2	1	no	—
1167	C₂²⋊C₄	—	2	2	no	—
1168	C₂²⋊C₄	—	2	2	no	—
1169	C₂²⋊C₄	—	2	2	no	—
1170	C₂²⋊C₄	—	2	1	no	—
1171	C₂²⋊C₄	—	2	2	no	—
1172	C₂²⋊C₄	—	2	2	no	—
1173	C₂²⋊C₄	—	2	2	no	—
1174	C₂²⋊C₄	—	2	2	no	—
1175	C₂²⋊C₄	—	2	2	no	—
1176	C₄²	—	2	2	no	—
1177	C₄²	—	2	2	no	—
1178	C₄²	—	2	2	no	—
1179	C₄²	—	2	1	no	—
1180	C₁₃	#60767	1	1	yes	characteristic, direct product factor, Sylow
1181	C₂³	—	2	2	no	—
1182	C₂³	—	2	1	no	—
1183	C₂³	—	2	1	no	—
1184	C₂³	—	2	2	no	—
1185	C₂³	—	2	1	no	—
1186	C₂³	—	4	2	no	—
1187	C₂³	—	4	1	no	—
1188	C₂³	—	4	2	no	—
1189	C₂³	—	4	1	no	—
1190	C₂³	—	4	2	no	—
1191	C₂³	—	4	2	no	—
1192	C₂³	—	4	4	no	—
1193	C₂³	—	4	2	no	—
1194	C₂³	—	8	1	no	—
1195	C₂³	—	8	1	no	—
1196	C₂³	—	8	1	no	—
1197	C₂³	—	8	2	no	—
1198	C₂³	—	8	1	no	—
1199	C₂³	—	8	2	no	—
1200	C₂³	C₂²×D₄×C₁₃	1	2	yes	—
1201	C₂³	C₂²×D₄×C₁₃	1	1	yes	characteristic
1202	C₂³	C₂²×D₄×C₁₃	1	1	yes	characteristic
1203	C₂³	C₂²×D₄×C₁₃	1	2	yes	—
1204	C₂³	C₂²×D₄×C₁₃	1	1	yes	characteristic
1205	Q₈	—	2	2	no	—
1206	Q₈	—	2	2	no	—
1207	Q₈	—	2	1	no	—
1208	Q₈	—	2	1	no	—
1209	Q₈	—	2	1	no	—
1210	Q₈	—	2	1	no	—
1211	Q₈	—	2	1	no	—
1212	Q₈	—	2	1	no	—
1213	Q₈	—	4	2	no	—
1214	Q₈	—	4	2	no	—
1215	D₄	—	2	4	no	—
1216	D₄	—	2	4	no	—
1217	D₄	—	2	2	no	—
1218	D₄	—	2	2	no	—
1219	D₄	—	2	1	no	—
1220	D₄	—	2	1	no	—
1221	D₄	—	2	2	no	—
1222	D₄	—	2	2	no	—
1223	D₄	—	2	1	no	—
1224	D₄	—	2	1	no	—
1225	D₄	—	2	1	no	—
1226	D₄	—	2	1	no	—
1227	D₄	—	4	2	no	—
1228	D₄	—	4	2	no	—
1229	D₄	—	4	2	no	—
1230	D₄	—	4	4	no	—
1231	D₄	—	4	2	no	—
1232	D₄	—	4	4	no	—
1233	D₄	—	4	2	no	—
1234	D₄	—	4	2	no	—
1235	D₄	—	4	2	no	—
1236	D₄	—	4	4	no	—
1237	D₄	—	4	2	no	—
1238	D₄	—	4	2	no	—
1239	D₄	—	4	2	no	—
1240	D₄	—	4	2	no	—
1241	D₄	—	8	2	no	—
1242	D₄	—	8	2	no	—
1243	D₄	—	8	2	no	—
1244	D₄	—	8	2	no	—
1245	D₄	—	8	2	no	—
1246	D₄	—	8	2	no	—
1247	D₄	—	8	1	no	—
1248	D₄	—	8	2	no	—
1249	D₄	—	8	2	no	—
1250	C₂×C₄	—	2	2	no	—
1251	C₂×C₄	—	2	2	no	—
1252	C₂×C₄	—	2	2	no	—
1253	C₂×C₄	—	2	2	no	—
1254	C₂×C₄	—	2	2	no	—
1255	C₂×C₄	—	2	1	no	—
1256	C₂×C₄	—	2	1	no	—
1257	C₂×C₄	—	2	1	no	—
1258	C₂×C₄	—	2	1	no	—
1259	C₂×C₄	—	2	2	no	—
1260	C₂×C₄	—	2	2	no	—
1261	C₂×C₄	—	2	1	no	—
1262	C₂×C₄	—	2	2	no	—
1263	C₂×C₄	—	2	2	no	—
1264	C₂×C₄	—	2	2	no	—
1265	C₂×C₄	—	2	1	no	—
1266	C₂×C₄	—	2	1	no	—
1267	C₂×C₄	—	2	1	no	—
1268	C₂×C₄	—	2	1	no	—
1269	C₂×C₄	—	4	2	no	—
1270	C₂×C₄	—	4	2	no	—
1271	C₂×C₄	—	4	2	no	—
1272	C₂×C₄	—	4	2	no	—
1273	C₂×C₄	—	4	2	no	—
1274	C₂×C₄	—	4	4	no	—
1275	C₂×C₄	—	4	2	no	—
1276	C₂×C₄	—	4	2	no	—
1277	C₂×C₄	—	4	2	no	—
1278	C₂×C₄	—	4	2	no	—
1279	C₂×C₄	—	8	1	no	—
1280	C₂×C₄	—	8	2	no	—
1281	C₂×C₄	—	8	1	no	—
1282	C₂×C₄	—	8	1	no	—
1283	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1284	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1285	C₂×C₄	C₂²×D₄×C₁₃	1	2	yes	—
1286	C₂×C₄	C₂²×D₄×C₁₃	1	2	yes	—
1287	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1288	C₂×C₄	C₁₃×H(5,𝔽₂)	1	2	yes	—
1289	C₂×C₄	C₁₃×H(5,𝔽₂)	1	2	yes	—
1290	C₂×C₄	C₂⁵×C₁₃	1	1	yes	characteristic
1291	C₈	—	2	1	no	—
1292	C₈	—	2	1	no	—
1293	C₈	—	2	1	no	—
1294	C₈	—	2	1	no	—
1295	C₈	—	2	2	no	—
1296	C₈	—	2	2	no	—
1297	C₂²	—	2	1	no	—
1298	C₂²	—	2	1	no	—
1299	C₂²	—	2	2	no	—
1300	C₂²	—	2	1	no	—
1301	C₂²	—	2	2	no	—
1302	C₂²	—	2	1	no	—
1303	C₂²	—	2	2	no	—
1304	C₂²	—	2	1	no	—
1305	C₂²	—	2	2	no	—
1306	C₂²	—	2	1	no	—
1307	C₂²	—	2	1	no	—
1308	C₂²	—	2	1	no	—
1309	C₂²	—	2	2	no	—
1310	C₂²	—	2	2	no	—
1311	C₂²	—	4	1	no	—
1312	C₂²	—	4	1	no	—
1313	C₂²	—	4	2	no	—
1314	C₂²	—	4	1	no	—
1315	C₂²	—	4	2	no	—
1316	C₂²	—	4	1	no	—
1317	C₂²	—	4	1	no	—
1318	C₂²	—	4	1	no	—
1319	C₂²	—	4	1	no	—
1320	C₂²	—	4	1	no	—
1321	C₂²	—	4	2	no	—
1322	C₂²	—	4	1	no	—
1323	C₂²	—	8	2	no	—
1324	C₂²	—	8	4	no	—
1325	C₂²	—	8	4	no	—
1326	C₂²	—	16	2	no	—
1327	C₂²	—	16	4	no	—
1328	C₂²	C₁₃×#534	1	2	yes	—
1329	C₂²	C₂³×D₄×C₁₃	1	1	yes	characteristic
1330	C₄	—	2	1	no	—
1331	C₄	—	2	1	no	—
1332	C₄	—	2	2	no	—
1333	C₄	—	2	2	no	—
1334	C₄	—	4	2	no	—
1335	C₄	—	4	1	no	—
1336	C₄	—	4	2	no	—
1337	C₄	—	4	1	no	—
1338	C₄	—	4	2	no	—
1339	C₄	—	4	1	no	—
1340	C₄	—	4	1	no	—
1341	C₄	—	4	1	no	—
1342	C₄	C₁₃×#534	1	2	yes	—
1343	C₄	C₂×C₁₃×H(5,𝔽₂)	1	1	yes	characteristic
1344	C₄	C₂×C₁₃×H(5,𝔽₂)	1	1	yes	characteristic
1345	C₂	—	2	2	no	—
1346	C₂	—	4	1	no	—
1347	C₂	—	4	1	no	—
1348	C₂	—	4	2	no	—
1349	C₂	—	4	2	no	—
1350	C₂	—	8	1	no	—
1351	C₂	—	8	1	no	—
1352	C₂	—	8	2	no	—
1353	C₂	—	8	1	no	—
1354	C₂	C₂×C₁₃×#534	1	1	yes	characteristic
1355	C₂	C₁₃×#3584	1	1	yes	characteristic
1356	C₂	C₁₃×#3585	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂²×C₁₃	C₂³×D₄
commutator, Frattini, cosocle	C₂×C₄	C₂⁵×C₁₃
LCS	G ▷ C₂×C₄ ▷ C₂ ▷ C₁
UCS	C₁ ◁ C₂²×C₁₃ ◁ C₂²×C₁₃×#41 ◁ G

Complements

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

N	H ≅ G/N	type
1. C₁₃×#3488	C₂	semidirect
2. C₁₃×#3449	C₂	semidirect
3. C₁₃×#3201	C₂	semidirect
4. C₁₃×#3200	C₂	semidirect
5. C₁₃×#3199	C₂	semidirect
6. C₁₃×#3198	C₂	semidirect
7. C₁₃×#3197	C₂	semidirect
8. C₁₃×#3194	C₂	semidirect
9. C₁₃×#3191	C₂	semidirect
10. C₁₃×#3188	C₂	semidirect
11. C₁₃×#3099	C₂	semidirect
12. C₁₃×#3098	C₂	semidirect
13. C₁₃×#3093	C₂	semidirect
14. C₂×C₁₃×#482	C₂	semidirect
15. C₁₃×#3062	C₂	semidirect
16. C₁₃×#3062	C₂	semidirect
17. C₁₃×#3061	C₂	semidirect
18. C₁₃×#3060	C₂	semidirect
19. C₁₃×#3012	C₂	semidirect
20. C₁₃×#3012	C₂	semidirect
21. C₁₃×#3006	C₂	semidirect
22. C₁₃×#3002	C₂	semidirect
23. C₁₃×#2880	C₂	semidirect
24. C₂×C₁₃×H(5,𝔽₂)	C₂²	semidirect
26. C₂²×C₁₃×#41	C₂²	semidirect
27. C₂×C₁₃×AGL(1,ℤ/8)	C₂²	semidirect
28. C₂×C₁₃×AGL(1,ℤ/8)	C₂²	semidirect
29. C₂×C₁₃×#135	C₂²	semidirect
30. C₂×C₁₃×#135	C₂²	semidirect
31. C₂×C₁₃×#131	C₂²	semidirect
32. C₂×C₁₃×#131	C₂²	semidirect
42. C₁₃×#537	C₂²	semidirect
43. C₁₃×#537	C₂²	semidirect
44. C₁₃×#537	C₂²	semidirect
46. C₁₃×#536	C₂²	semidirect
49. C₁₃×#535	C₂²	semidirect
50. C₁₃×#535	C₂²	semidirect
56. C₁₃×#525	C₂²	semidirect
57. C₁₃×#525	C₂²	semidirect
58. C₁₃×#525	C₂²	semidirect
60. C₂×C₁₃×#121	C₂²	semidirect
61. C₁₃×#520	C₂²	semidirect
62. C₂×C₁₃×#117	C₂²	semidirect
63. C₁₃×#485	C₂²	semidirect
64. C₁₃×#485	C₂²	semidirect
65. C₁₃×#485	C₂²	semidirect
66. C₁₃×#485	C₂²	semidirect
67. C₁₃×#484	C₂²	semidirect
68. C₁₃×#483	C₂²	semidirect
69. C₁₃×#482	C₂²	semidirect
70. C₁₃×#482	C₂²	semidirect
71. C₁₃×#482	C₂²	semidirect
72. C₁₃×#482	C₂²	semidirect
73. C₁₃×#482	C₂²	semidirect
74. C₁₃×#482	C₂²	semidirect
75. C₁₃×#482	C₂²	semidirect
76. C₁₃×#482	C₂²	semidirect
77. C₁₃×#481	C₂²	semidirect
78. C₁₃×#480	C₂²	semidirect
79. C₁₃×#470	C₂²	semidirect
80. C₁₃×#469	C₂²	semidirect
81. C₁₃×#469	C₂²	semidirect
82. C₁₃×#469	C₂²	semidirect
83. C₁₃×#468	C₂²	semidirect
84. C₁₃×#468	C₂²	semidirect
85. C₁₃×#468	C₂²	semidirect
86. C₁₃×#468	C₂²	semidirect
87. C₁₃×#467	C₂²	semidirect
88. C₁₃×#466	C₂²	semidirect
89. C₁₃×#466	C₂²	semidirect
90. C₁₃×#466	C₂²	semidirect
91. C₁₃×#465	C₂²	semidirect
92. C₁₃×#465	C₂²	semidirect
93. C₁₃×#465	C₂²	semidirect
94. C₁₃×#465	C₂²	semidirect
95. C₁₃×#452	C₂²	semidirect
96. C₁₃×#452	C₂²	semidirect
97. C₁₃×#452	C₂²	semidirect
98. C₁₃×#452	C₂²	semidirect
99. C₁₃×#451	C₂²	semidirect
100. C₁₃×#450	C₂²	semidirect
101. C₁₃×#450	C₂²	semidirect
102. C₁₃×#450	C₂²	semidirect
103. C₁₃×#449	C₂²	semidirect
104. C₁₃×#449	C₂²	semidirect
105. C₁₃×#449	C₂²	semidirect
106. C₁₃×#449	C₂²	semidirect
107. C₁₃×#449	C₂²	semidirect
108. C₁₃×#449	C₂²	semidirect
109. C₁₃×#448	C₂²	semidirect
110. C₁₃×#448	C₂²	semidirect
111. C₁₃×#447	C₂²	semidirect
112. C₁₃×#447	C₂²	semidirect
113. C₁₃×#447	C₂²	semidirect
114. C₁₃×#447	C₂²	semidirect
115. C₁₃×#428	C₂²	semidirect
116. C₁₃×#428	C₂²	semidirect
117. C₂×C₁₃×#107	C₂²	semidirect
118. C₂×C₁₃×#106	C₂²	semidirect
119. C₁₃×#417	C₂²	semidirect
120. C₁₃×#417	C₂²	semidirect
121. C₁₃×#417	C₂²	semidirect
122. C₁₃×#417	C₂²	semidirect
123. C₁₃×#416	C₂²	semidirect
124. C₁₃×#416	C₂²	semidirect
125. C₂×C₁₃×#102	C₂²	semidirect
126. C₂×C₁₃×#102	C₂²	semidirect
127. C₁₃×#408	C₂²	semidirect
128. C₁₃×#408	C₂²	semidirect
129. C₁₃×#408	C₂²	semidirect
130. C₁₃×#408	C₂²	semidirect
131. C₁₃×#407	C₂²	semidirect
132. C₁₃×#407	C₂²	semidirect
133. C₂×C₁₃×C₂²⋊C₈	C₂²	semidirect
134. C₂×C₁₃×C₂²⋊C₈	C₂²	semidirect
324. #60767	C₁₃	direct (N × H)
503. #3488	C₂×C₁₃	semidirect
504. #3449	C₂×C₁₃	semidirect
505. #3201	C₂×C₁₃	semidirect
506. #3200	C₂×C₁₃	semidirect
507. #3199	C₂×C₁₃	semidirect
508. #3198	C₂×C₁₃	semidirect
509. #3197	C₂×C₁₃	semidirect
510. #3194	C₂×C₁₃	semidirect
511. #3191	C₂×C₁₃	semidirect
512. #3188	C₂×C₁₃	semidirect
513. #3099	C₂×C₁₃	semidirect
514. #3098	C₂×C₁₃	semidirect
515. #3093	C₂×C₁₃	semidirect
516. C₂×#482	C₂×C₁₃	semidirect
517. #3062	C₂×C₁₃	semidirect
518. #3062	C₂×C₁₃	semidirect
519. #3061	C₂×C₁₃	semidirect
520. #3060	C₂×C₁₃	semidirect
521. #3012	C₂×C₁₃	semidirect
522. #3012	C₂×C₁₃	semidirect
523. #3006	C₂×C₁₃	semidirect
524. #3002	C₂×C₁₃	semidirect
525. #2880	C₂×C₁₃	semidirect
642. C₂×H(5,𝔽₂)	C₂²×C₁₃	semidirect
644. C₂²×#41	C₂²×C₁₃	semidirect
645. C₂×AGL(1,ℤ/8)	C₂²×C₁₃	semidirect
646. C₂×AGL(1,ℤ/8)	C₂²×C₁₃	semidirect
647. C₂×#135	C₂²×C₁₃	semidirect
648. C₂×#135	C₂²×C₁₃	semidirect
649. C₂×#131	C₂²×C₁₃	semidirect
650. C₂×#131	C₂²×C₁₃	semidirect
660. #537	C₂²×C₁₃	semidirect
661. #537	C₂²×C₁₃	semidirect
662. #537	C₂²×C₁₃	semidirect
664. #536	C₂²×C₁₃	semidirect
667. #535	C₂²×C₁₃	semidirect
668. #535	C₂²×C₁₃	semidirect
674. #525	C₂²×C₁₃	semidirect
675. #525	C₂²×C₁₃	semidirect
676. #525	C₂²×C₁₃	semidirect
678. C₂×#121	C₂²×C₁₃	semidirect
679. #520	C₂²×C₁₃	semidirect
680. C₂×#117	C₂²×C₁₃	semidirect
681. #485	C₂²×C₁₃	semidirect
682. #485	C₂²×C₁₃	semidirect
683. #485	C₂²×C₁₃	semidirect
684. #485	C₂²×C₁₃	semidirect
685. #484	C₂²×C₁₃	semidirect
686. #483	C₂²×C₁₃	semidirect
687. #482	C₂²×C₁₃	semidirect
688. #482	C₂²×C₁₃	semidirect
689. #482	C₂²×C₁₃	semidirect
690. #482	C₂²×C₁₃	semidirect
691. #482	C₂²×C₁₃	semidirect
692. #482	C₂²×C₁₃	semidirect
693. #482	C₂²×C₁₃	semidirect
694. #482	C₂²×C₁₃	semidirect
695. #481	C₂²×C₁₃	semidirect
696. #480	C₂²×C₁₃	semidirect
697. #470	C₂²×C₁₃	semidirect
698. #469	C₂²×C₁₃	semidirect
699. #469	C₂²×C₁₃	semidirect
700. #469	C₂²×C₁₃	semidirect
701. #468	C₂²×C₁₃	semidirect
702. #468	C₂²×C₁₃	semidirect
703. #468	C₂²×C₁₃	semidirect
704. #468	C₂²×C₁₃	semidirect
705. #467	C₂²×C₁₃	semidirect
706. #466	C₂²×C₁₃	semidirect
707. #466	C₂²×C₁₃	semidirect
708. #466	C₂²×C₁₃	semidirect
709. #465	C₂²×C₁₃	semidirect
710. #465	C₂²×C₁₃	semidirect
711. #465	C₂²×C₁₃	semidirect
712. #465	C₂²×C₁₃	semidirect
713. #452	C₂²×C₁₃	semidirect
714. #452	C₂²×C₁₃	semidirect
715. #452	C₂²×C₁₃	semidirect
716. #452	C₂²×C₁₃	semidirect
717. #451	C₂²×C₁₃	semidirect
718. #450	C₂²×C₁₃	semidirect
719. #450	C₂²×C₁₃	semidirect
720. #450	C₂²×C₁₃	semidirect
721. #449	C₂²×C₁₃	semidirect
722. #449	C₂²×C₁₃	semidirect
723. #449	C₂²×C₁₃	semidirect
724. #449	C₂²×C₁₃	semidirect
725. #449	C₂²×C₁₃	semidirect
726. #449	C₂²×C₁₃	semidirect
727. #448	C₂²×C₁₃	semidirect
728. #448	C₂²×C₁₃	semidirect
729. #447	C₂²×C₁₃	semidirect
730. #447	C₂²×C₁₃	semidirect
731. #447	C₂²×C₁₃	semidirect
732. #447	C₂²×C₁₃	semidirect
733. #428	C₂²×C₁₃	semidirect
734. #428	C₂²×C₁₃	semidirect
735. C₂×#107	C₂²×C₁₃	semidirect
736. C₂×#106	C₂²×C₁₃	semidirect
737. #417	C₂²×C₁₃	semidirect
738. #417	C₂²×C₁₃	semidirect
739. #417	C₂²×C₁₃	semidirect
740. #417	C₂²×C₁₃	semidirect
741. #416	C₂²×C₁₃	semidirect
742. #416	C₂²×C₁₃	semidirect
743. C₂×#102	C₂²×C₁₃	semidirect
744. C₂×#102	C₂²×C₁₃	semidirect
745. #408	C₂²×C₁₃	semidirect
746. #408	C₂²×C₁₃	semidirect
747. #408	C₂²×C₁₃	semidirect
748. #408	C₂²×C₁₃	semidirect
749. #407	C₂²×C₁₃	semidirect
750. #407	C₂²×C₁₃	semidirect
751. C₂×C₂²⋊C₈	C₂²×C₁₃	semidirect
752. C₂×C₂²⋊C₈	C₂²×C₁₃	semidirect
1180. C₁₃	#60767	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×#3488	2
C₁₃×#3449	2
C₁₃×#3201	2
C₁₃×#3200	2
C₁₃×#3199	2
C₁₃×#3198	2
C₁₃×#3197	2
C₁₃×#3194	2
C₁₃×#3191	2
C₁₃×#3188	2
C₁₃×#3099	2
C₁₃×#3098	2
C₁₃×#3093	2
C₂×C₁₃×#482	2
C₁₃×#3062	2
C₁₃×#3061	2
C₁₃×#3060	2
C₁₃×#3012	2
C₁₃×#3006	2
C₁₃×#3002	2
C₁₃×#2880	2
#60767	13

Subgroups — C13×#60767 #15747106

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₃×#60767 #15747106