Subgroups — C₁₃×#61653 #15747992

Order 3328.

2164 conjugacy classes of subgroups.

The subgroup lattice has 1952 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₁₃×#3542	C₂	1	1	yes	maximal, characteristic, complemented
2	C₁₃×#3488	C₂	1	1	yes	maximal, characteristic, complemented
3	C₁₃×#3332	C₂	1	1	yes	maximal, characteristic, complemented
4	C₁₃×#3326	C₂	1	1	yes	maximal, characteristic, complemented
5	C₁₃×#3325	C₂	1	1	yes	maximal, characteristic, complemented
6	C₁₃×#3323	C₂	1	1	yes	maximal, characteristic, complemented
7	C₁₃×#3321	C₂	1	1	yes	maximal, characteristic, complemented
8	C₁₃×#3318	C₂	1	1	yes	maximal, characteristic, complemented
9	C₁₃×#3317	C₂	1	1	yes	maximal, characteristic, complemented
10	C₁₃×#3306	C₂	1	1	yes	maximal, characteristic, complemented
11	C₁₃×#3275	C₂	1	1	yes	maximal, characteristic, complemented
12	C₁₃×#3274	C₂	1	1	yes	maximal, characteristic, complemented
13	C₁₃×#3274	C₂	1	1	yes	maximal, characteristic, complemented
14	C₁₃×#3273	C₂	1	1	yes	maximal, characteristic, complemented
15	C₁₃×#3271	C₂	1	1	yes	maximal, characteristic, complemented
16	C₁₃×#3268	C₂	1	1	yes	maximal, characteristic, complemented
17	C₁₃×#3264	C₂	1	1	yes	maximal, characteristic, complemented
18	C₁₃×#3264	C₂	1	1	yes	maximal, characteristic, complemented
19	C₁₃×#3224	C₂	1	1	yes	maximal, characteristic, complemented
20	C₁₃×#3220	C₂	1	1	yes	maximal, characteristic, complemented
21	C₁₃×#3204	C₂	1	1	yes	maximal, characteristic, complemented
22	C₁₃×#3198	C₂	1	1	yes	maximal, characteristic, complemented
23	C₁₃×#3194	C₂	1	1	yes	maximal, characteristic, complemented
24	C₁₃×#3192	C₂	1	1	yes	maximal, characteristic, complemented
25	C₁₃×#3125	C₂	1	1	yes	maximal, characteristic, complemented
26	C₁₃×#3119	C₂	1	1	yes	maximal, characteristic, complemented
27	C₁₃×#3012	C₂	1	1	yes	maximal, characteristic, complemented
28	C₁₃×#3008	C₂	1	1	yes	maximal, characteristic, complemented
29	C₁₃×#3006	C₂	1	1	yes	maximal, characteristic, complemented
30	C₁₃×#3005	C₂	1	1	yes	maximal, characteristic, complemented
31	C₁₃×#2978	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂×C₁₃×H(5,𝔽₂)	C₂²	1	1	yes	characteristic, complemented
33	C₂²×C₁₃×#41	C₂²	1	1	yes	characteristic, complemented
34	C₂×C₁₃×#137	C₂²	1	1	yes	characteristic, complemented
35	C₂×C₁₃×AGL(1,ℤ/8)	C₂²	1	1	yes	characteristic, complemented
36	C₂×C₁₃×AGL(1,ℤ/8)	C₂²	1	1	yes	characteristic, complemented
37	C₂×C₁₃×AGL(1,ℤ/8)	C₂²	1	1	yes	characteristic, complemented
38	C₂×C₁₃×AGL(1,ℤ/8)	C₂²	1	1	yes	characteristic, complemented
39	C₂×C₁₃×AGL(1,ℤ/8)	C₂²	1	1	yes	characteristic, complemented
40	C₂×C₁₃×#135	C₂²	1	1	yes	characteristic, complemented
41	C₂²×C₁₃×D₈	C₂²	1	1	yes	characteristic, complemented
42	C₁₃×#562	—	2	1	no	—
43	C₁₃×#560	—	2	1	no	—
44	C₁₃×#555	C₂²	1	1	yes	characteristic, complemented
45	C₁₃×#553	C₂²	1	1	yes	characteristic, complemented
46	C₁₃×#552	C₂²	1	1	yes	characteristic, complemented
47	C₁₃×#551	—	2	1	no	—
48	C₁₃×#550	C₂²	1	1	yes	characteristic
49	C₁₃×#550	C₂²	1	1	yes	characteristic, complemented
50	C₁₃×#550	C₂²	1	1	yes	characteristic, complemented
51	C₁₃×#548	C₂²	1	1	yes	characteristic, complemented
52	C₁₃×#548	C₂²	1	1	yes	characteristic, complemented
53	C₁₃×#547	C₂²	1	1	yes	characteristic, complemented
54	C₁₃×#546	—	2	1	no	—
55	C₁₃×#546	—	2	1	no	—
56	C₁₃×#546	—	2	1	no	—
57	C₁₃×#546	C₂²	1	1	yes	characteristic
58	C₁₃×#546	C₂²	1	1	yes	characteristic, complemented
59	C₁₃×#546	C₂²	1	1	yes	characteristic, complemented
60	C₁₃×#546	C₂²	1	1	yes	characteristic, complemented
61	D₄²×C₁₃	—	2	1	no	—
62	D₄²×C₁₃	—	2	1	no	—
63	D₄²×C₁₃	C₂²	1	1	yes	characteristic, complemented
64	D₄²×C₁₃	C₂²	1	1	yes	characteristic, complemented
65	D₄²×C₁₃	C₂²	1	1	yes	characteristic, complemented
66	C₁₃×#542	C₂²	1	1	yes	characteristic, complemented
67	C₁₃×#540	—	2	1	no	—
68	C₁₃×#540	C₂²	1	1	yes	characteristic, complemented
69	C₁₃×#538	—	2	1	no	—
70	C₁₃×#537	—	2	1	no	—
71	C₁₃×#537	C₂²	1	1	yes	characteristic, complemented
72	C₁₃×#537	C₂²	1	1	yes	characteristic, complemented
73	C₁₃×#535	—	2	1	no	—
74	C₁₃×#535	—	2	1	no	—
75	C₁₃×#535	C₂²	1	1	yes	characteristic, complemented
76	C₁₃×#535	C₂²	1	1	yes	characteristic, complemented
77	C₁₃×#534	—	2	1	no	—
78	C₁₃×#525	—	2	1	no	—
79	C₁₃×#525	C₂²	1	1	yes	characteristic
80	C₁₃×#525	C₂²	1	1	yes	characteristic, complemented
81	C₂×C₁₃×#121	—	2	1	no	—
82	C₂×C₁₃×#121	C₂²	1	1	yes	characteristic, complemented
83	C₂×C₁₃×#121	C₂²	1	1	yes	characteristic, complemented
84	C₁₃×#520	C₂²	1	1	yes	characteristic, complemented
85	C₁₃×#496	C₂²	1	1	yes	characteristic, complemented
86	C₁₃×#496	C₂²	1	1	yes	characteristic, complemented
87	C₁₃×#495	C₂²	1	1	yes	characteristic, complemented
88	C₁₃×#493	C₂²	1	1	yes	characteristic, complemented
89	C₁₃×#490	C₂²	1	1	yes	characteristic, complemented
90	C₁₃×#489	C₂²	1	1	yes	characteristic, complemented
91	C₁₃×#488	C₂²	1	1	yes	characteristic, complemented
92	C₁₃×#486	C₂²	1	1	yes	characteristic, complemented
93	C₁₃×#485	C₂²	1	1	yes	characteristic, complemented
94	C₁₃×#483	C₂²	1	1	yes	characteristic, complemented
95	C₁₃×#483	C₂²	1	1	yes	characteristic, complemented
96	C₁₃×#482	C₂²	1	1	yes	characteristic, complemented
97	C₁₃×#482	C₂²	1	1	yes	characteristic, complemented
98	C₁₃×#482	C₂²	1	1	yes	characteristic, complemented
99	C₁₃×#481	C₂²	1	1	yes	characteristic, complemented
100	C₁₃×#481	C₂²	1	1	yes	characteristic, complemented
101	C₁₃×#481	C₂²	1	1	yes	characteristic, complemented
102	C₁₃×#481	C₂²	1	1	yes	characteristic, complemented
103	C₁₃×#481	C₂²	1	1	yes	characteristic, complemented
104	C₁₃×#480	C₂²	1	1	yes	characteristic, complemented
105	C₁₃×#479	C₂²	1	1	yes	characteristic, complemented
106	C₁₃×#478	C₂²	1	1	yes	characteristic, complemented
107	C₁₃×#476	C₂²	1	1	yes	characteristic, complemented
108	C₁₃×#475	C₂²	1	1	yes	characteristic, complemented
109	C₁₃×#470	C₂²	1	1	yes	characteristic, complemented
110	C₁₃×#469	C₂²	1	1	yes	characteristic, complemented
111	C₁₃×#469	C₂²	1	1	yes	characteristic, complemented
112	C₁₃×#469	C₂²	1	1	yes	characteristic, complemented
113	C₁₃×#469	C₂²	1	1	yes	characteristic, complemented
114	C₁₃×#469	C₂²	1	1	yes	characteristic, complemented
115	C₁₃×#469	C₂²	1	1	yes	characteristic, complemented
116	C₁₃×#469	C₂²	1	1	yes	characteristic, complemented
117	C₁₃×#469	C₂²	1	1	yes	characteristic, complemented
118	C₁₃×#468	C₂²	1	1	yes	characteristic, complemented
119	C₁₃×#468	C₂²	1	1	yes	characteristic, complemented
120	C₁₃×#468	C₂²	1	1	yes	characteristic, complemented
121	C₁₃×#466	C₂²	1	1	yes	characteristic, complemented
122	C₁₃×#465	C₂²	1	1	yes	characteristic, complemented
123	C₁₃×#465	C₂²	1	1	yes	characteristic, complemented
124	C₁₃×#465	C₂²	1	1	yes	characteristic, complemented
125	C₁₃×#464	C₂²	1	1	yes	characteristic, complemented
126	C₁₃×#464	C₂²	1	1	yes	characteristic, complemented
127	C₁₃×#463	C₂²	1	1	yes	characteristic, complemented
128	C₁₃×#463	C₂²	1	1	yes	characteristic, complemented
129	C₁₃×#463	C₂²	1	1	yes	characteristic, complemented
130	C₁₃×#463	C₂²	1	1	yes	characteristic, complemented
131	C₁₃×#460	C₂²	1	1	yes	characteristic, complemented
132	C₁₃×#460	C₂²	1	1	yes	characteristic, complemented
133	C₁₃×#459	C₂²	1	1	yes	characteristic, complemented
134	C₁₃×#459	C₂²	1	1	yes	characteristic, complemented
135	C₁₃×#459	C₂²	1	1	yes	characteristic, complemented
136	C₁₃×#459	C₂²	1	1	yes	characteristic, complemented
137	C₁₃×#452	C₂²	1	1	yes	characteristic, complemented
138	C₁₃×#452	C₂²	1	1	yes	characteristic, complemented
139	C₁₃×#452	C₂²	1	1	yes	characteristic, complemented
140	C₁₃×#452	C₂²	1	1	yes	characteristic, complemented
141	C₁₃×#452	C₂²	1	1	yes	characteristic, complemented
142	C₁₃×#452	C₂²	1	1	yes	characteristic, complemented
143	C₁₃×#450	C₂²	1	1	yes	characteristic, complemented
144	C₁₃×#450	C₂²	1	1	yes	characteristic, complemented
145	C₁₃×#450	C₂²	1	1	yes	characteristic, complemented
146	C₁₃×#449	C₂²	1	1	yes	characteristic
147	C₁₃×#449	C₂²	1	1	yes	characteristic, complemented
148	C₁₃×#449	C₂²	1	1	yes	characteristic, complemented
149	C₁₃×#449	C₂²	1	1	yes	characteristic, complemented
150	C₁₃×#449	C₂²	1	1	yes	characteristic, complemented
151	C₁₃×#449	C₂²	1	1	yes	characteristic, complemented
152	C₁₃×#449	C₂²	1	1	yes	characteristic, complemented
153	C₁₃×#449	C₂²	1	1	yes	characteristic, complemented
154	C₁₃×#449	C₂²	1	1	yes	characteristic, complemented
155	C₁₃×#449	C₂²	1	1	yes	characteristic, complemented
156	C₁₃×#449	C₂²	1	1	yes	characteristic, complemented
157	C₁₃×#449	C₂²	1	1	yes	characteristic, complemented
158	C₁₃×#449	C₂²	1	1	yes	characteristic, complemented
159	C₁₃×#449	C₂²	1	1	yes	characteristic, complemented
160	C₁₃×#448	C₂²	1	1	yes	characteristic, complemented
161	C₁₃×#448	C₂²	1	1	yes	characteristic, complemented
162	C₁₃×#447	C₂²	1	1	yes	characteristic, complemented
163	C₁₃×#447	C₂²	1	1	yes	characteristic, complemented
164	C₁₃×#447	C₂²	1	1	yes	characteristic, complemented
165	C₁₃×#447	C₂²	1	1	yes	characteristic, complemented
166	C₁₃×#447	C₂²	1	1	yes	characteristic, complemented
167	C₁₃×#447	C₂²	1	1	yes	characteristic, complemented
168	C₁₃×#447	C₂²	1	1	yes	characteristic, complemented
169	C₁₃×#447	C₂²	1	1	yes	characteristic, complemented
170	C₁₃×#447	C₂²	1	1	yes	characteristic, complemented
171	C₁₃×#447	C₂²	1	1	yes	characteristic, complemented
172	C₁₃×#447	C₂²	1	1	yes	characteristic, complemented
173	C₁₃×#442	C₂²	1	1	yes	characteristic, complemented
174	C₁₃×#442	C₂²	1	1	yes	characteristic, complemented
175	C₁₃×#441	C₂²	1	1	yes	characteristic, complemented
176	C₁₃×#440	C₂²	1	1	yes	characteristic, complemented
177	C₄×C₁₃×SD₁₆	C₂²	1	1	yes	characteristic, complemented
178	C₄×C₁₃×SD₁₆	C₂²	1	1	yes	characteristic, complemented
179	C₄×C₁₃×SD₁₆	C₂²	1	1	yes	characteristic, complemented
180	C₄×C₁₃×D₈	C₂²	1	1	yes	characteristic, complemented
181	C₁₃×#436	C₂²	1	1	yes	characteristic, complemented
182	C₁₃×#436	C₂²	1	1	yes	characteristic, complemented
183	C₁₃×#436	C₂²	1	1	yes	characteristic, complemented
184	C₁₃×#436	C₂²	1	1	yes	characteristic, complemented
185	C₁₃×#435	C₂²	1	1	yes	characteristic, complemented
186	C₁₃×#435	C₂²	1	1	yes	characteristic, complemented
187	C₁₃×#435	C₂²	1	1	yes	characteristic, complemented
188	C₁₃×#435	C₂²	1	1	yes	characteristic, complemented
189	C₁₃×#433	C₂²	1	1	yes	characteristic, complemented
190	C₁₃×#433	C₂²	1	1	yes	characteristic, complemented
191	C₁₃×#419	C₂²	1	1	yes	characteristic, complemented
192	C₁₃×#418	C₂²	1	1	yes	characteristic, complemented
193	C₁₃×#418	C₂²	1	1	yes	characteristic, complemented
194	C₁₃×#417	C₂²	1	1	yes	characteristic, complemented
195	C₁₃×#417	C₂²	1	1	yes	characteristic, complemented
196	C₁₃×#417	C₂²	1	1	yes	characteristic, complemented
197	C₁₃×#416	C₂²	1	1	yes	characteristic, complemented
198	C₂×C₁₃×#102	C₂²	1	1	yes	characteristic, complemented
199	C₁₃×#408	C₂²	1	1	yes	characteristic, complemented
200	C₁₃×#408	C₂²	1	1	yes	characteristic, complemented
201	C₁₃×#407	C₂²	1	1	yes	characteristic, complemented
202	C₁₃×#407	C₂²	1	1	yes	characteristic, complemented
203	C₁₃×H(5,𝔽₂)	—	4	2	no	—
204	C₁₃×H(5,𝔽₂)	—	4	2	no	—
205	C₂×C₁₃×#41	—	2	1	no	—
206	C₂×C₁₃×#41	—	2	1	no	—
207	C₂×C₁₃×#41	—	2	1	no	—
208	C₂×C₁₃×#41	—	2	1	no	—
209	C₂×C₁₃×#41	—	4	2	no	—
210	C₂×C₁₃×#41	—	4	2	no	—
211	C₂×C₁₃×#41	C₂³	1	1	yes	characteristic
212	C₂×C₁₃×#41	C₂³	1	1	yes	characteristic
213	C₂×C₁₃×#41	C₂³	1	1	yes	characteristic
214	C₂×C₁₃×#41	C₂³	1	1	yes	characteristic
215	C₂×C₁₃×#41	C₂³	1	1	yes	characteristic
216	C₂×C₁₃×#41	C₂³	1	1	yes	characteristic
217	C₂×C₁₃×#41	C₂³	1	1	yes	characteristic
218	C₂×C₁₃×#41	C₂³	1	1	yes	characteristic
219	C₂×C₁₃×#41	C₂³	1	1	yes	characteristic
220	C₂²×Q₈×C₁₃	C₂³	1	1	yes	characteristic
221	C₂²×D₄×C₁₃	—	2	1	no	—
222	C₂²×D₄×C₁₃	—	2	1	no	—
223	C₂²×D₄×C₁₃	—	2	1	no	—
224	C₂²×D₄×C₁₃	—	2	1	no	—
225	C₂²×D₄×C₁₃	—	2	1	no	—
226	C₂²×D₄×C₁₃	—	2	1	no	—
227	C₂²×D₄×C₁₃	—	2	1	no	—
228	C₂²×D₄×C₁₃	—	2	1	no	—
229	C₂²×D₄×C₁₃	—	2	1	no	—
230	C₂²×D₄×C₁₃	C₂³	1	1	yes	characteristic
231	C₂²×D₄×C₁₃	C₂³	1	1	yes	characteristic
232	C₂²×D₄×C₁₃	C₂³	1	1	yes	characteristic
233	C₂²×D₄×C₁₃	C₂³	1	1	yes	characteristic
234	C₂²×D₄×C₁₃	C₂³	1	1	yes	characteristic
235	C₂²×D₄×C₁₃	C₂³	1	1	yes	characteristic
236	C₂³×C₄×C₁₃	—	2	1	no	—
237	C₂³×C₄×C₁₃	C₂³	1	1	yes	characteristic
238	C₁₃×#137	—	4	2	no	—
239	C₁₃×AGL(1,ℤ/8)	—	4	2	no	—
240	C₁₃×AGL(1,ℤ/8)	—	4	2	no	—
241	C₁₃×AGL(1,ℤ/8)	—	4	2	no	—
242	C₁₃×AGL(1,ℤ/8)	—	4	2	no	—
243	C₁₃×AGL(1,ℤ/8)	—	4	2	no	—
244	C₁₃×#135	—	4	2	no	—
245	C₂×C₁₃×Q₁₆	C₂³	1	1	yes	characteristic
246	C₂×C₁₃×Q₁₆	C₂³	1	1	yes	characteristic
247	C₂×C₁₃×SD₁₆	C₂³	1	1	yes	characteristic
248	C₂×C₁₃×SD₁₆	C₂³	1	1	yes	characteristic
249	C₂×C₁₃×SD₁₆	C₂³	1	1	yes	characteristic
250	C₂×C₁₃×SD₁₆	C₂³	1	1	yes	characteristic
251	C₂×C₁₃×SD₁₆	C₂³	1	1	yes	characteristic
252	C₂×C₁₃×SD₁₆	C₂³	1	1	yes	characteristic
253	C₂×C₁₃×SD₁₆	C₂³	1	1	yes	characteristic
254	C₂×C₁₃×SD₁₆	C₂³	1	1	yes	characteristic
255	C₂×C₁₃×SD₁₆	C₂³	1	1	yes	characteristic
256	C₂×C₁₃×SD₁₆	C₂³	1	1	yes	characteristic
257	C₂×C₁₃×D₈	—	4	2	no	—
258	C₂×C₁₃×D₈	C₂³	1	1	yes	characteristic
259	C₂×C₁₃×D₈	C₂³	1	1	yes	characteristic
260	C₂×C₁₃×D₈	C₂³	1	1	yes	characteristic
261	C₂×C₁₃×D₈	C₂³	1	1	yes	characteristic
262	C₂×C₁₃×D₈	C₂³	1	1	yes	characteristic
263	C₂×C₁₃×D₈	C₂³	1	1	yes	characteristic
264	C₂×C₁₃×D₈	C₂³	1	1	yes	characteristic
265	C₂×C₁₃×D₈	C₂³	1	1	yes	characteristic
266	C₂×C₁₃×D₈	C₂³	1	1	yes	characteristic
267	C₂×C₁₃×D₈	C₂³	1	1	yes	characteristic
268	C₂×C₁₃×D₈	C₂³	1	1	yes	characteristic
269	C₂×C₁₃×D₈	C₂³	1	1	yes	characteristic
270	C₂×C₁₃×M₁₆	C₂³	1	1	yes	characteristic
271	C₂×C₁₃×M₁₆	C₂³	1	1	yes	characteristic
272	C₂×C₁₃×M₁₆	C₂³	1	1	yes	characteristic
273	C₂×C₁₃×M₁₆	C₂³	1	1	yes	characteristic
274	C₂×C₁₃×M₁₆	C₂³	1	1	yes	characteristic
275	C₂×C₁₃×M₁₆	C₂³	1	1	yes	characteristic
276	C₂²×C₈×C₁₃	C₂³	1	1	yes	characteristic
277	C₂²×C₈×C₁₃	C₂³	1	1	yes	characteristic
278	C₁₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
279	C₁₃×#127	—	2	1	no	—
280	C₁₃×#127	—	2	1	no	—
281	C₁₃×#127	—	2	1	no	—
282	C₁₃×#127	—	2	1	no	—
283	C₁₃×#127	C₂³	1	1	yes	characteristic
284	C₁₃×#127	C₂³	1	1	yes	characteristic
285	C₁₃×#127	C₂³	1	1	yes	characteristic
286	C₁₃×#126	—	2	1	no	—
287	C₁₃×#126	—	2	1	no	—
288	C₁₃×#126	—	2	1	no	—
289	C₁₃×#125	—	2	1	no	—
290	C₁₃×#125	C₂³	1	1	yes	characteristic
291	C₁₃×#124	—	2	1	no	—
292	C₁₃×#124	—	2	1	no	—
293	C₁₃×#124	—	2	1	no	—
294	C₁₃×#124	—	2	1	no	—
295	C₁₃×#124	—	2	1	no	—
296	C₁₃×#124	—	2	1	no	—
297	C₁₃×#124	C₂³	1	1	yes	characteristic
298	C₁₃×#124	C₂³	1	1	yes	characteristic
299	C₁₃×#124	C₂³	1	1	yes	characteristic
300	C₁₃×#123	—	2	1	no	—
301	C₁₃×#123	—	2	1	no	—
302	C₁₃×#123	—	2	1	no	—
303	C₁₃×#123	—	2	1	no	—
304	C₁₃×#123	—	2	1	no	—
305	C₁₃×#123	—	2	1	no	—
306	C₁₃×#123	—	2	1	no	—
307	C₁₃×#123	—	2	1	no	—
308	C₁₃×#123	—	2	1	no	—
309	C₁₃×#123	—	2	1	no	—
310	C₁₃×#123	—	2	1	no	—
311	C₁₃×#123	—	2	1	no	—
312	C₁₃×#123	D₄	1	1	yes	characteristic
313	C₁₃×#123	D₄	1	1	yes	characteristic
314	C₁₃×C₂²⋊Q₈	—	2	1	no	—
315	C₁₃×C₂²⋊Q₈	—	2	1	no	—
316	C₁₃×C₂²⋊Q₈	—	2	1	no	—
317	C₁₃×C₂²⋊Q₈	—	2	1	no	—
318	C₁₃×C₂²⋊Q₈	—	2	1	no	—
319	C₁₃×C₂²⋊Q₈	—	2	1	no	—
320	C₁₃×C₂²⋊Q₈	D₄	1	1	yes	characteristic
321	C₁₃×C₂²⋊Q₈	D₄	1	1	yes	characteristic
322	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
323	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
324	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
325	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
326	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
327	C₁₃×#121	—	2	1	no	—
328	C₁₃×#121	—	2	1	no	—
329	C₁₃×#121	—	2	1	no	—
330	C₁₃×#121	—	2	1	no	—
331	C₁₃×#121	—	2	1	no	—
332	C₁₃×#121	—	2	1	no	—
333	C₁₃×#121	—	2	1	no	—
334	C₁₃×#121	—	2	1	no	—
335	C₁₃×#121	—	2	1	no	—
336	C₁₃×#121	—	2	1	no	—
337	C₁₃×#121	—	2	1	no	—
338	C₁₃×#121	—	2	1	no	—
339	C₁₃×#121	—	2	1	no	—
340	C₁₃×#121	—	2	1	no	—
341	C₁₃×#121	—	2	1	no	—
342	C₁₃×#121	—	2	1	no	—
343	C₁₃×#121	—	2	1	no	—
344	C₁₃×#121	—	2	1	no	—
345	C₁₃×#121	—	2	1	no	—
346	C₁₃×#121	—	2	1	no	—
347	C₁₃×#121	—	2	1	no	—
348	C₁₃×#121	—	2	1	no	—
349	C₁₃×#121	—	2	1	no	—
350	C₁₃×#121	—	2	1	no	—
351	C₁₃×#121	—	2	1	no	—
352	C₁₃×#121	—	2	1	no	—
353	C₁₃×#121	—	2	1	no	—
354	C₁₃×#121	—	2	1	no	—
355	C₁₃×#121	—	2	1	no	—
356	C₁₃×#121	—	2	1	no	—
357	C₁₃×#121	—	2	1	no	—
358	C₁₃×#121	D₄	1	1	yes	characteristic
359	C₁₃×#121	D₄	1	1	yes	characteristic
360	C₁₃×#121	C₂³	1	1	yes	characteristic
361	C₁₃×#121	C₂³	1	1	yes	characteristic
362	C₁₃×#121	C₂³	1	1	yes	characteristic
363	C₁₃×#121	C₂³	1	1	yes	characteristic
364	C₁₃×#121	C₂³	1	1	yes	characteristic
365	C₁₃×#121	C₂³	1	1	yes	characteristic
366	C₁₃×#121	C₂³	1	1	yes	characteristic
367	C₁₃×#121	C₂³	1	1	yes	characteristic
368	C₁₃×#121	C₂³	1	1	yes	characteristic
369	C₁₃×#121	C₂³	1	1	yes	characteristic
370	C₁₃×#121	C₂³	1	1	yes	characteristic
371	C₁₃×#121	C₂³	1	1	yes	characteristic
372	C₁₃×#121	C₂³	1	1	yes	characteristic
373	C₁₃×#121	C₂³	1	1	yes	characteristic
374	C₁₃×#121	C₂³	1	1	yes	characteristic
375	C₁₃×#120	—	2	1	no	—
376	C₁₃×#120	—	2	1	no	—
377	C₁₃×#120	—	2	1	no	—
378	C₁₃×#120	—	2	1	no	—
379	C₁₃×#120	—	2	1	no	—
380	C₁₃×#120	—	2	1	no	—
381	C₁₃×#120	—	2	1	no	—
382	C₁₃×#120	—	2	1	no	—
383	C₁₃×#120	—	2	1	no	—
384	C₁₃×#120	—	2	1	no	—
385	C₁₃×#120	—	2	1	no	—
386	C₁₃×#120	—	2	1	no	—
387	C₁₃×#120	—	2	1	no	—
388	C₁₃×#120	—	2	1	no	—
389	C₁₃×#120	—	2	1	no	—
390	C₁₃×#120	D₄	1	1	yes	characteristic
391	C₁₃×#120	D₄	1	1	yes	characteristic
392	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
393	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
394	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
395	C₄×D₄×C₁₃	—	2	1	no	—
396	C₄×D₄×C₁₃	—	2	1	no	—
397	C₄×D₄×C₁₃	—	2	1	no	—
398	C₄×D₄×C₁₃	—	2	1	no	—
399	C₄×D₄×C₁₃	—	2	1	no	—
400	C₄×D₄×C₁₃	—	2	1	no	—
401	C₄×D₄×C₁₃	—	2	1	no	—
402	C₄×D₄×C₁₃	—	2	1	no	—
403	C₄×D₄×C₁₃	—	2	1	no	—
404	C₄×D₄×C₁₃	—	2	1	no	—
405	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
406	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
407	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
408	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
409	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
410	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
411	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
412	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
413	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
414	C₁₃×#117	—	2	1	no	—
415	C₁₃×#117	—	2	1	no	—
416	C₁₃×#117	—	2	1	no	—
417	C₁₃×#117	C₂³	1	1	yes	characteristic
418	C₁₃×#117	C₂³	1	1	yes	characteristic
419	C₁₃×#117	C₂³	1	1	yes	characteristic
420	C₂×C₁₃×C₄⋊C₄	—	2	1	no	—
421	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
422	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
423	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
424	C₂×C₁₃×C₂²⋊C₄	—	2	1	no	—
425	C₂×C₁₃×C₂²⋊C₄	—	2	1	no	—
426	C₂×C₁₃×C₂²⋊C₄	—	2	1	no	—
427	C₂×C₁₃×C₂²⋊C₄	—	2	1	no	—
428	C₂×C₁₃×C₂²⋊C₄	—	2	1	no	—
429	C₂×C₁₃×C₂²⋊C₄	—	2	1	no	—
430	C₁₃×#107	C₂³	1	1	yes	characteristic
431	C₁₃×#107	C₂³	1	1	yes	characteristic
432	C₁₃×#106	C₂³	1	1	yes	characteristic
433	C₁₃×#106	C₂³	1	1	yes	characteristic
434	C₁₃×#106	C₂³	1	1	yes	characteristic
435	C₁₃×#106	C₂³	1	1	yes	characteristic
436	C₁₃×#106	C₂³	1	1	yes	characteristic
437	C₁₃×#106	C₂³	1	1	yes	characteristic
438	C₁₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
439	C₁₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
440	C₁₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
441	C₁₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
442	C₁₃×#103	C₂³	1	1	yes	characteristic
443	C₁₃×#103	C₂³	1	1	yes	characteristic
444	C₁₃×#103	C₂³	1	1	yes	characteristic
445	C₁₃×#103	C₂³	1	1	yes	characteristic
446	C₁₃×#103	C₂³	1	1	yes	characteristic
447	C₁₃×#103	C₂³	1	1	yes	characteristic
448	C₁₃×#103	C₂³	1	1	yes	characteristic
449	C₁₃×#103	C₂³	1	1	yes	characteristic
450	C₁₃×#103	C₂³	1	1	yes	characteristic
451	C₁₃×#103	C₂³	1	1	yes	characteristic
452	C₁₃×#102	C₂³	1	1	yes	characteristic
453	C₁₃×#102	C₂³	1	1	yes	characteristic
454	C₁₃×#102	C₂³	1	1	yes	characteristic
455	C₁₃×#102	C₂³	1	1	yes	characteristic
456	C₁₃×#102	C₂³	1	1	yes	characteristic
457	C₁₃×#102	C₂³	1	1	yes	characteristic
458	C₁₃×#102	C₂³	1	1	yes	characteristic
459	C₁₃×#102	C₂³	1	1	yes	characteristic
460	C₁₃×#102	C₂³	1	1	yes	characteristic
461	C₁₃×#102	C₂³	1	1	yes	characteristic
462	C₁₃×#102	C₂³	1	1	yes	characteristic
463	C₁₃×#102	C₂³	1	1	yes	characteristic
464	C₁₃×#102	C₂³	1	1	yes	characteristic
465	C₁₃×#102	C₂³	1	1	yes	characteristic
466	C₁₃×#102	C₂³	1	1	yes	characteristic
467	C₁₃×#102	C₂³	1	1	yes	characteristic
468	C₁₃×#102	C₂³	1	1	yes	characteristic
469	C₁₃×#102	C₂³	1	1	yes	characteristic
470	C₁₃×#102	C₂³	1	1	yes	characteristic
471	C₁₃×#102	C₂³	1	1	yes	characteristic
472	C₁₃×#102	C₂³	1	1	yes	characteristic
473	C₁₃×#102	C₂³	1	1	yes	characteristic
474	C₁₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
475	C₁₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
476	C₁₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
477	C₁₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
478	C₁₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
479	C₁₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
480	C₁₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
481	C₁₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
482	C₁₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
483	C₁₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
484	C₁₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
485	C₁₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
486	C₁₃×#97	C₂³	1	1	yes	characteristic
487	C₁₃×#97	C₂³	1	1	yes	characteristic
488	C₄×C₈×C₁₃	C₂³	1	1	yes	characteristic
489	C₄×C₈×C₁₃	C₂³	1	1	yes	characteristic
490	#61653	C₁₃	1	1	yes	maximal, characteristic, direct product factor, Sylow
491	C₂⁴×C₁₃	—	2	1	no	—
492	C₂⁴×C₁₃	—	2	1	no	—
493	C₂⁴×C₁₃	—	2	1	no	—
494	C₂⁴×C₁₃	—	2	1	no	—
495	C₂⁴×C₁₃	—	2	1	no	—
496	C₂⁴×C₁₃	—	2	1	no	—
497	C₂⁴×C₁₃	C₂×D₄	1	1	yes	characteristic
498	C₁₃×#41	—	2	2	no	—
499	C₁₃×#41	—	2	2	no	—
500	C₁₃×#41	—	2	2	no	—
501	C₁₃×#41	—	2	2	no	—
502	C₁₃×#41	—	2	2	no	—
503	C₁₃×#41	—	2	2	no	—
504	C₁₃×#41	—	4	1	no	—
505	C₁₃×#41	—	4	1	no	—
506	C₁₃×#41	—	4	1	no	—
507	C₁₃×#41	—	4	1	no	—
508	C₁₃×#41	—	4	1	no	—
509	C₁₃×#41	—	4	1	no	—
510	C₁₃×#41	—	4	1	no	—
511	C₁₃×#41	—	4	1	no	—
512	C₁₃×#41	—	4	4	no	—
513	C₁₃×#41	—	4	4	no	—
514	C₁₃×#41	—	4	1	no	—
515	C₁₃×#41	—	4	1	no	—
516	C₁₃×#41	—	4	1	no	—
517	C₁₃×#41	—	4	1	no	—
518	C₁₃×#41	—	4	4	no	—
519	C₁₃×#41	—	8	2	no	—
520	C₂×Q₈×C₁₃	—	2	1	no	—
521	C₂×Q₈×C₁₃	—	2	1	no	—
522	C₂×Q₈×C₁₃	—	2	2	no	—
523	C₂×Q₈×C₁₃	—	4	1	no	—
524	C₂×Q₈×C₁₃	C₂×D₄	1	1	yes	characteristic
525	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
526	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
527	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
528	C₂×D₄×C₁₃	—	2	1	no	—
529	C₂×D₄×C₁₃	—	2	2	no	—
530	C₂×D₄×C₁₃	—	2	2	no	—
531	C₂×D₄×C₁₃	—	2	2	no	—
532	C₂×D₄×C₁₃	—	2	1	no	—
533	C₂×D₄×C₁₃	—	2	1	no	—
534	C₂×D₄×C₁₃	—	2	1	no	—
535	C₂×D₄×C₁₃	—	2	1	no	—
536	C₂×D₄×C₁₃	—	2	1	no	—
537	C₂×D₄×C₁₃	—	2	1	no	—
538	C₂×D₄×C₁₃	—	2	1	no	—
539	C₂×D₄×C₁₃	—	2	1	no	—
540	C₂×D₄×C₁₃	—	2	1	no	—
541	C₂×D₄×C₁₃	—	2	1	no	—
542	C₂×D₄×C₁₃	—	2	1	no	—
543	C₂×D₄×C₁₃	—	2	1	no	—
544	C₂×D₄×C₁₃	—	2	1	no	—
545	C₂×D₄×C₁₃	—	2	1	no	—
546	C₂×D₄×C₁₃	—	2	1	no	—
547	C₂×D₄×C₁₃	—	2	1	no	—
548	C₂×D₄×C₁₃	—	2	1	no	—
549	C₂×D₄×C₁₃	—	2	1	no	—
550	C₂×D₄×C₁₃	—	2	1	no	—
551	C₂×D₄×C₁₃	—	2	1	no	—
552	C₂×D₄×C₁₃	—	2	1	no	—
553	C₂×D₄×C₁₃	—	2	1	no	—
554	C₂×D₄×C₁₃	—	2	1	no	—
555	C₂×D₄×C₁₃	—	2	1	no	—
556	C₂×D₄×C₁₃	—	2	1	no	—
557	C₂×D₄×C₁₃	—	2	1	no	—
558	C₂×D₄×C₁₃	—	2	1	no	—
559	C₂×D₄×C₁₃	—	2	1	no	—
560	C₂×D₄×C₁₃	—	2	1	no	—
561	C₂×D₄×C₁₃	—	2	1	no	—
562	C₂×D₄×C₁₃	—	2	1	no	—
563	C₂×D₄×C₁₃	—	2	1	no	—
564	C₂×D₄×C₁₃	—	2	1	no	—
565	C₂×D₄×C₁₃	—	2	1	no	—
566	C₂×D₄×C₁₃	—	4	1	no	—
567	C₂×D₄×C₁₃	—	4	1	no	—
568	C₂×D₄×C₁₃	—	4	1	no	—
569	C₂×D₄×C₁₃	—	4	1	no	—
570	C₂×D₄×C₁₃	—	4	1	no	—
571	C₂×D₄×C₁₃	—	4	1	no	—
572	C₂×D₄×C₁₃	—	4	1	no	—
573	C₂×D₄×C₁₃	—	4	1	no	—
574	C₂×D₄×C₁₃	—	4	1	no	—
575	C₂×D₄×C₁₃	—	4	4	no	—
576	C₂×D₄×C₁₃	—	4	4	no	—
577	C₂×D₄×C₁₃	—	4	4	no	—
578	C₂×D₄×C₁₃	—	4	4	no	—
579	C₂×D₄×C₁₃	—	8	2	no	—
580	C₂×D₄×C₁₃	—	8	2	no	—
581	C₂×D₄×C₁₃	—	8	2	no	—
582	C₂×D₄×C₁₃	—	8	2	no	—
583	C₂×D₄×C₁₃	—	8	2	no	—
584	C₂×D₄×C₁₃	C₂×D₄	1	1	yes	characteristic
585	C₂×D₄×C₁₃	C₂×D₄	1	1	yes	characteristic
586	C₂×D₄×C₁₃	C₂×D₄	1	1	yes	characteristic
587	C₂×D₄×C₁₃	C₂×D₄	1	1	yes	characteristic
588	C₂×D₄×C₁₃	C₂×D₄	1	1	yes	characteristic
589	C₂×D₄×C₁₃	C₂×D₄	1	1	yes	characteristic
590	C₂×D₄×C₁₃	C₂×D₄	1	1	yes	characteristic
591	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
592	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
593	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
594	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
595	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
596	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
597	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
598	C₂²×C₄×C₁₃	—	2	1	no	—
599	C₂²×C₄×C₁₃	—	2	1	no	—
600	C₂²×C₄×C₁₃	—	2	1	no	—
601	C₂²×C₄×C₁₃	—	2	1	no	—
602	C₂²×C₄×C₁₃	—	2	1	no	—
603	C₂²×C₄×C₁₃	—	2	1	no	—
604	C₂²×C₄×C₁₃	—	2	1	no	—
605	C₂²×C₄×C₁₃	—	2	1	no	—
606	C₂²×C₄×C₁₃	—	2	1	no	—
607	C₂²×C₄×C₁₃	—	2	1	no	—
608	C₂²×C₄×C₁₃	—	2	1	no	—
609	C₂²×C₄×C₁₃	—	2	1	no	—
610	C₂²×C₄×C₁₃	—	2	1	no	—
611	C₂²×C₄×C₁₃	—	2	1	no	—
612	C₂²×C₄×C₁₃	—	2	1	no	—
613	C₂²×C₄×C₁₃	—	2	1	no	—
614	C₂²×C₄×C₁₃	—	2	1	no	—
615	C₂²×C₄×C₁₃	—	4	1	no	—
616	C₂²×C₄×C₁₃	—	4	1	no	—
617	C₂²×C₄×C₁₃	—	4	4	no	—
618	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
619	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
620	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
621	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
622	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
623	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
624	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
625	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
626	C₁₃×Q₁₆	—	2	2	no	—
627	C₁₃×Q₁₆	—	4	1	no	—
628	C₁₃×SD₁₆	—	2	2	no	—
629	C₁₃×SD₁₆	—	2	2	no	—
630	C₁₃×SD₁₆	—	2	2	no	—
631	C₁₃×SD₁₆	—	2	2	no	—
632	C₁₃×SD₁₆	—	4	1	no	—
633	C₁₃×SD₁₆	—	4	1	no	—
634	C₁₃×SD₁₆	—	4	1	no	—
635	C₁₃×SD₁₆	—	4	1	no	—
636	C₁₃×SD₁₆	—	4	1	no	—
637	C₁₃×SD₁₆	—	4	1	no	—
638	C₁₃×D₈	—	2	2	no	—
639	C₁₃×D₈	—	2	2	no	—
640	C₁₃×D₈	—	2	2	no	—
641	C₁₃×D₈	—	4	1	no	—
642	C₁₃×D₈	—	4	1	no	—
643	C₁₃×D₈	—	4	1	no	—
644	C₁₃×D₈	—	4	1	no	—
645	C₁₃×D₈	—	4	1	no	—
646	C₁₃×D₈	—	4	1	no	—
647	C₁₃×D₈	—	4	1	no	—
648	C₁₃×D₈	—	4	1	no	—
649	C₁₃×D₈	—	4	1	no	—
650	C₁₃×M₁₆	—	4	1	no	—
651	C₁₃×M₁₆	—	4	1	no	—
652	C₁₃×M₁₆	—	4	1	no	—
653	C₁₃×M₁₆	—	4	1	no	—
654	C₁₃×M₁₆	—	4	1	no	—
655	C₁₃×M₁₆	—	4	1	no	—
656	C₂×C₈×C₁₃	—	4	1	no	—
657	C₂×C₈×C₁₃	—	4	1	no	—
658	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
659	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
660	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
661	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
662	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
663	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
664	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
665	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
666	C₁₃×C₄⋊C₄	—	2	1	no	—
667	C₁₃×C₄⋊C₄	—	2	1	no	—
668	C₁₃×C₄⋊C₄	—	2	1	no	—
669	C₁₃×C₄⋊C₄	—	2	1	no	—
670	C₁₃×C₄⋊C₄	—	2	1	no	—
671	C₁₃×C₄⋊C₄	—	2	1	no	—
672	C₁₃×C₄⋊C₄	—	2	1	no	—
673	C₁₃×C₄⋊C₄	—	2	1	no	—
674	C₁₃×C₄⋊C₄	—	2	1	no	—
675	C₁₃×C₄⋊C₄	—	2	1	no	—
676	C₁₃×C₄⋊C₄	—	2	1	no	—
677	C₁₃×C₄⋊C₄	—	2	1	no	—
678	C₁₃×C₄⋊C₄	—	2	1	no	—
679	C₁₃×C₄⋊C₄	—	2	1	no	—
680	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
681	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
682	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
683	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
684	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
685	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
686	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
687	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
688	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
689	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
690	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
691	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
692	C₁₃×C₂²⋊C₄	—	2	1	no	—
693	C₁₃×C₂²⋊C₄	—	2	1	no	—
694	C₁₃×C₂²⋊C₄	—	2	1	no	—
695	C₁₃×C₂²⋊C₄	—	2	1	no	—
696	C₁₃×C₂²⋊C₄	—	2	1	no	—
697	C₁₃×C₂²⋊C₄	—	2	1	no	—
698	C₁₃×C₂²⋊C₄	—	2	1	no	—
699	C₁₃×C₂²⋊C₄	—	2	1	no	—
700	C₁₃×C₂²⋊C₄	—	2	1	no	—
701	C₁₃×C₂²⋊C₄	—	2	1	no	—
702	C₁₃×C₂²⋊C₄	—	2	1	no	—
703	C₁₃×C₂²⋊C₄	—	2	1	no	—
704	C₁₃×C₂²⋊C₄	—	2	1	no	—
705	C₁₃×C₂²⋊C₄	—	2	1	no	—
706	C₁₃×C₂²⋊C₄	—	2	1	no	—
707	C₁₃×C₂²⋊C₄	—	2	1	no	—
708	C₁₃×C₂²⋊C₄	—	2	1	no	—
709	C₁₃×C₂²⋊C₄	—	2	1	no	—
710	C₁₃×C₂²⋊C₄	—	2	1	no	—
711	C₁₃×C₂²⋊C₄	—	2	1	no	—
712	C₁₃×C₂²⋊C₄	—	2	1	no	—
713	C₁₃×C₂²⋊C₄	—	2	1	no	—
714	C₁₃×C₂²⋊C₄	—	2	1	no	—
715	C₁₃×C₂²⋊C₄	—	2	1	no	—
716	C₁₃×C₂²⋊C₄	—	2	1	no	—
717	C₁₃×C₂²⋊C₄	—	2	1	no	—
718	C₁₃×C₂²⋊C₄	—	2	1	no	—
719	C₁₃×C₂²⋊C₄	—	2	1	no	—
720	C₁₃×C₂²⋊C₄	—	2	1	no	—
721	C₁₃×C₂²⋊C₄	—	2	1	no	—
722	C₁₃×C₂²⋊C₄	—	2	1	no	—
723	C₁₃×C₂²⋊C₄	—	2	1	no	—
724	C₁₃×C₂²⋊C₄	—	2	1	no	—
725	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
726	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
727	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
728	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
729	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
730	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
731	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
732	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
733	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
734	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
735	C₄²×C₁₃	—	2	1	no	—
736	C₄²×C₁₃	—	2	1	no	—
737	C₄²×C₁₃	—	2	1	no	—
738	C₄²×C₁₃	—	2	1	no	—
739	C₄²×C₁₃	—	2	1	no	—
740	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
741	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
742	#3542	C₂×C₁₃	1	1	yes	characteristic, complemented
743	#3488	C₂×C₁₃	1	1	yes	characteristic, complemented
744	#3332	C₂×C₁₃	1	1	yes	characteristic, complemented
745	#3326	C₂×C₁₃	1	1	yes	characteristic, complemented
746	#3325	C₂×C₁₃	1	1	yes	characteristic, complemented
747	#3323	C₂×C₁₃	1	1	yes	characteristic, complemented
748	#3321	C₂×C₁₃	1	1	yes	characteristic, complemented
749	#3318	C₂×C₁₃	1	1	yes	characteristic, complemented
750	#3317	C₂×C₁₃	1	1	yes	characteristic, complemented
751	#3306	C₂×C₁₃	1	1	yes	characteristic, complemented
752	#3275	C₂×C₁₃	1	1	yes	characteristic, complemented
753	#3274	C₂×C₁₃	1	1	yes	characteristic, complemented
754	#3274	C₂×C₁₃	1	1	yes	characteristic, complemented
755	#3273	C₂×C₁₃	1	1	yes	characteristic, complemented
756	#3271	C₂×C₁₃	1	1	yes	characteristic, complemented
757	#3268	C₂×C₁₃	1	1	yes	characteristic, complemented
758	#3264	C₂×C₁₃	1	1	yes	characteristic, complemented
759	#3264	C₂×C₁₃	1	1	yes	characteristic, complemented
760	#3224	C₂×C₁₃	1	1	yes	characteristic, complemented
761	#3220	C₂×C₁₃	1	1	yes	characteristic, complemented
762	#3204	C₂×C₁₃	1	1	yes	characteristic, complemented
763	#3198	C₂×C₁₃	1	1	yes	characteristic, complemented
764	#3194	C₂×C₁₃	1	1	yes	characteristic, complemented
765	#3192	C₂×C₁₃	1	1	yes	characteristic, complemented
766	#3125	C₂×C₁₃	1	1	yes	characteristic, complemented
767	#3119	C₂×C₁₃	1	1	yes	characteristic, complemented
768	#3012	C₂×C₁₃	1	1	yes	characteristic, complemented
769	#3008	C₂×C₁₃	1	1	yes	characteristic, complemented
770	#3006	C₂×C₁₃	1	1	yes	characteristic, complemented
771	#3005	C₂×C₁₃	1	1	yes	characteristic, complemented
772	#2978	C₂×C₁₃	1	1	yes	characteristic, complemented
773	C₂³×C₁₃	—	2	1	no	—
774	C₂³×C₁₃	—	2	1	no	—
775	C₂³×C₁₃	—	2	1	no	—
776	C₂³×C₁₃	—	2	1	no	—
777	C₂³×C₁₃	—	2	1	no	—
778	C₂³×C₁₃	—	2	1	no	—
779	C₂³×C₁₃	—	2	1	no	—
780	C₂³×C₁₃	—	4	1	no	—
781	C₂³×C₁₃	—	4	1	no	—
782	C₂³×C₁₃	—	4	1	no	—
783	C₂³×C₁₃	—	4	2	no	—
784	C₂³×C₁₃	—	4	2	no	—
785	C₂³×C₁₃	—	4	2	no	—
786	C₂³×C₁₃	—	4	2	no	—
787	C₂³×C₁₃	—	4	2	no	—
788	C₂³×C₁₃	—	4	2	no	—
789	C₂³×C₁₃	—	8	1	no	—
790	C₂³×C₁₃	—	8	1	no	—
791	C₂³×C₁₃	—	8	1	no	—
792	C₂³×C₁₃	—	8	1	no	—
793	C₂³×C₁₃	—	8	1	no	—
794	C₂³×C₁₃	—	8	1	no	—
795	C₂³×C₁₃	—	8	1	no	—
796	C₂³×C₁₃	—	8	1	no	—
797	C₂³×C₁₃	—	8	1	no	—
798	C₂³×C₁₃	—	8	1	no	—
799	C₂³×C₁₃	—	8	1	no	—
800	C₂³×C₁₃	—	8	1	no	—
801	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
802	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
803	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
804	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
805	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
806	Q₈×C₁₃	—	2	1	no	—
807	Q₈×C₁₃	—	2	1	no	—
808	Q₈×C₁₃	—	2	1	no	—
809	Q₈×C₁₃	—	2	1	no	—
810	Q₈×C₁₃	—	2	1	no	—
811	Q₈×C₁₃	—	4	1	no	—
812	Q₈×C₁₃	—	4	2	no	—
813	Q₈×C₁₃	—	8	1	no	—
814	Q₈×C₁₃	H(5,𝔽₂)	1	2	yes	—
815	D₄×C₁₃	—	2	4	no	—
816	D₄×C₁₃	—	2	1	no	—
817	D₄×C₁₃	—	2	1	no	—
818	D₄×C₁₃	—	2	1	no	—
819	D₄×C₁₃	—	2	1	no	—
820	D₄×C₁₃	—	2	1	no	—
821	D₄×C₁₃	—	2	1	no	—
822	D₄×C₁₃	—	2	1	no	—
823	D₄×C₁₃	—	2	1	no	—
824	D₄×C₁₃	—	2	1	no	—
825	D₄×C₁₃	—	2	1	no	—
826	D₄×C₁₃	—	2	1	no	—
827	D₄×C₁₃	—	2	1	no	—
828	D₄×C₁₃	—	2	1	no	—
829	D₄×C₁₃	—	4	1	no	—
830	D₄×C₁₃	—	4	1	no	—
831	D₄×C₁₃	—	4	1	no	—
832	D₄×C₁₃	—	4	1	no	—
833	D₄×C₁₃	—	4	1	no	—
834	D₄×C₁₃	—	4	1	no	—
835	D₄×C₁₃	—	4	1	no	—
836	D₄×C₁₃	—	4	2	no	—
837	D₄×C₁₃	—	4	2	no	—
838	D₄×C₁₃	—	4	2	no	—
839	D₄×C₁₃	—	4	2	no	—
840	D₄×C₁₃	—	4	2	no	—
841	D₄×C₁₃	—	4	2	no	—
842	D₄×C₁₃	—	4	2	no	—
843	D₄×C₁₃	—	4	2	no	—
844	D₄×C₁₃	—	4	2	no	—
845	D₄×C₁₃	—	4	2	no	—
846	D₄×C₁₃	—	4	2	no	—
847	D₄×C₁₃	—	4	2	no	—
848	D₄×C₁₃	—	8	1	no	—
849	D₄×C₁₃	—	8	1	no	—
850	D₄×C₁₃	—	8	1	no	—
851	D₄×C₁₃	—	8	1	no	—
852	D₄×C₁₃	—	8	1	no	—
853	D₄×C₁₃	—	8	1	no	—
854	D₄×C₁₃	—	8	1	no	—
855	D₄×C₁₃	—	8	1	no	—
856	D₄×C₁₃	—	8	1	no	—
857	D₄×C₁₃	—	8	1	no	—
858	D₄×C₁₃	—	8	1	no	—
859	D₄×C₁₃	—	8	1	no	—
860	D₄×C₁₃	—	8	1	no	—
861	D₄×C₁₃	—	8	1	no	—
862	D₄×C₁₃	—	8	1	no	—
863	D₄×C₁₃	—	8	1	no	—
864	D₄×C₁₃	—	8	1	no	—
865	D₄×C₁₃	—	8	1	no	—
866	D₄×C₁₃	—	8	1	no	—
867	D₄×C₁₃	—	8	1	no	—
868	D₄×C₁₃	—	8	1	no	—
869	D₄×C₁₃	—	8	1	no	—
870	D₄×C₁₃	H(5,𝔽₂)	1	2	yes	—
871	C₂×C₄×C₁₃	—	2	4	no	—
872	C₂×C₄×C₁₃	—	2	1	no	—
873	C₂×C₄×C₁₃	—	2	1	no	—
874	C₂×C₄×C₁₃	—	2	1	no	—
875	C₂×C₄×C₁₃	—	2	1	no	—
876	C₂×C₄×C₁₃	—	2	1	no	—
877	C₂×C₄×C₁₃	—	2	1	no	—
878	C₂×C₄×C₁₃	—	2	1	no	—
879	C₂×C₄×C₁₃	—	2	1	no	—
880	C₂×C₄×C₁₃	—	2	1	no	—
881	C₂×C₄×C₁₃	—	2	1	no	—
882	C₂×C₄×C₁₃	—	2	1	no	—
883	C₂×C₄×C₁₃	—	2	1	no	—
884	C₂×C₄×C₁₃	—	2	1	no	—
885	C₂×C₄×C₁₃	—	2	1	no	—
886	C₂×C₄×C₁₃	—	2	1	no	—
887	C₂×C₄×C₁₃	—	2	1	no	—
888	C₂×C₄×C₁₃	—	2	1	no	—
889	C₂×C₄×C₁₃	—	2	1	no	—
890	C₂×C₄×C₁₃	—	2	1	no	—
891	C₂×C₄×C₁₃	—	4	1	no	—
892	C₂×C₄×C₁₃	—	4	1	no	—
893	C₂×C₄×C₁₃	—	4	1	no	—
894	C₂×C₄×C₁₃	—	4	2	no	—
895	C₂×C₄×C₁₃	—	4	2	no	—
896	C₂×C₄×C₁₃	—	4	2	no	—
897	C₂×C₄×C₁₃	—	4	2	no	—
898	C₂×C₄×C₁₃	—	4	2	no	—
899	C₂×C₄×C₁₃	—	4	2	no	—
900	C₂×C₄×C₁₃	—	4	2	no	—
901	C₂×C₄×C₁₃	—	8	1	no	—
902	C₂×C₄×C₁₃	—	8	1	no	—
903	C₂×C₄×C₁₃	—	8	1	no	—
904	C₂×C₄×C₁₃	—	8	1	no	—
905	C₂×C₄×C₁₃	—	8	1	no	—
906	C₂×C₄×C₁₃	—	8	1	no	—
907	C₂×C₄×C₁₃	—	8	1	no	—
908	C₂×C₄×C₁₃	—	8	1	no	—
909	C₂×C₄×C₁₃	—	8	1	no	—
910	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
911	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
912	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
913	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
914	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
915	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
916	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
917	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
918	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
919	C₂×C₄×C₁₃	C₂⁵	1	1	yes	characteristic
920	C₈×C₁₃	—	2	1	no	—
921	C₈×C₁₃	—	2	1	no	—
922	C₈×C₁₃	—	2	1	no	—
923	C₈×C₁₃	—	2	1	no	—
924	C₈×C₁₃	—	2	1	no	—
925	C₈×C₁₃	—	2	1	no	—
926	C₈×C₁₃	—	2	1	no	—
927	C₈×C₁₃	—	2	1	no	—
928	C₂×H(5,𝔽₂)	C₂²×C₁₃	1	1	yes	characteristic, complemented
929	C₂²×#41	C₂²×C₁₃	1	1	yes	characteristic, complemented
930	C₂×#137	C₂²×C₁₃	1	1	yes	characteristic, complemented
931	C₂×AGL(1,ℤ/8)	C₂²×C₁₃	1	1	yes	characteristic, complemented
932	C₂×AGL(1,ℤ/8)	C₂²×C₁₃	1	1	yes	characteristic, complemented
933	C₂×AGL(1,ℤ/8)	C₂²×C₁₃	1	1	yes	characteristic, complemented
934	C₂×AGL(1,ℤ/8)	C₂²×C₁₃	1	1	yes	characteristic, complemented
935	C₂×AGL(1,ℤ/8)	C₂²×C₁₃	1	1	yes	characteristic, complemented
936	C₂×#135	C₂²×C₁₃	1	1	yes	characteristic, complemented
937	C₂²×D₈	C₂²×C₁₃	1	1	yes	characteristic, complemented
938	#562	—	2	1	no	—
939	#560	—	2	1	no	—
940	#555	C₂²×C₁₃	1	1	yes	characteristic, complemented
941	#553	C₂²×C₁₃	1	1	yes	characteristic, complemented
942	#552	C₂²×C₁₃	1	1	yes	characteristic, complemented
943	#551	—	2	1	no	—
944	#550	C₂²×C₁₃	1	1	yes	characteristic
945	#550	C₂²×C₁₃	1	1	yes	characteristic, complemented
946	#550	C₂²×C₁₃	1	1	yes	characteristic, complemented
947	#548	C₂²×C₁₃	1	1	yes	characteristic, complemented
948	#548	C₂²×C₁₃	1	1	yes	characteristic, complemented
949	#547	C₂²×C₁₃	1	1	yes	characteristic, complemented
950	#546	—	2	1	no	—
951	#546	—	2	1	no	—
952	#546	—	2	1	no	—
953	#546	C₂²×C₁₃	1	1	yes	characteristic
954	#546	C₂²×C₁₃	1	1	yes	characteristic, complemented
955	#546	C₂²×C₁₃	1	1	yes	characteristic, complemented
956	#546	C₂²×C₁₃	1	1	yes	characteristic, complemented
957	D₄²	—	2	1	no	—
958	D₄²	—	2	1	no	—
959	D₄²	C₂²×C₁₃	1	1	yes	characteristic, complemented
960	D₄²	C₂²×C₁₃	1	1	yes	characteristic, complemented
961	D₄²	C₂²×C₁₃	1	1	yes	characteristic, complemented
962	#542	C₂²×C₁₃	1	1	yes	characteristic, complemented
963	#540	—	2	1	no	—
964	#540	C₂²×C₁₃	1	1	yes	characteristic, complemented
965	#538	—	2	1	no	—
966	#537	—	2	1	no	—
967	#537	C₂²×C₁₃	1	1	yes	characteristic, complemented
968	#537	C₂²×C₁₃	1	1	yes	characteristic, complemented
969	#535	—	2	1	no	—
970	#535	—	2	1	no	—
971	#535	C₂²×C₁₃	1	1	yes	characteristic, complemented
972	#535	C₂²×C₁₃	1	1	yes	characteristic, complemented
973	#534	—	2	1	no	—
974	#525	—	2	1	no	—
975	#525	C₂²×C₁₃	1	1	yes	characteristic
976	#525	C₂²×C₁₃	1	1	yes	characteristic, complemented
977	C₂×#121	—	2	1	no	—
978	C₂×#121	C₂²×C₁₃	1	1	yes	characteristic, complemented
979	C₂×#121	C₂²×C₁₃	1	1	yes	characteristic, complemented
980	#520	C₂²×C₁₃	1	1	yes	characteristic, complemented
981	#496	C₂²×C₁₃	1	1	yes	characteristic, complemented
982	#496	C₂²×C₁₃	1	1	yes	characteristic, complemented
983	#495	C₂²×C₁₃	1	1	yes	characteristic, complemented
984	#493	C₂²×C₁₃	1	1	yes	characteristic, complemented
985	#490	C₂²×C₁₃	1	1	yes	characteristic, complemented
986	#489	C₂²×C₁₃	1	1	yes	characteristic, complemented
987	#488	C₂²×C₁₃	1	1	yes	characteristic, complemented
988	#486	C₂²×C₁₃	1	1	yes	characteristic, complemented
989	#485	C₂²×C₁₃	1	1	yes	characteristic, complemented
990	#483	C₂²×C₁₃	1	1	yes	characteristic, complemented
991	#483	C₂²×C₁₃	1	1	yes	characteristic, complemented
992	#482	C₂²×C₁₃	1	1	yes	characteristic, complemented
993	#482	C₂²×C₁₃	1	1	yes	characteristic, complemented
994	#482	C₂²×C₁₃	1	1	yes	characteristic, complemented
995	#481	C₂²×C₁₃	1	1	yes	characteristic, complemented
996	#481	C₂²×C₁₃	1	1	yes	characteristic, complemented
997	#481	C₂²×C₁₃	1	1	yes	characteristic, complemented
998	#481	C₂²×C₁₃	1	1	yes	characteristic, complemented
999	#481	C₂²×C₁₃	1	1	yes	characteristic, complemented
1000	#480	C₂²×C₁₃	1	1	yes	characteristic, complemented
1001	#479	C₂²×C₁₃	1	1	yes	characteristic, complemented
1002	#478	C₂²×C₁₃	1	1	yes	characteristic, complemented
1003	#476	C₂²×C₁₃	1	1	yes	characteristic, complemented
1004	#475	C₂²×C₁₃	1	1	yes	characteristic, complemented
1005	#470	C₂²×C₁₃	1	1	yes	characteristic, complemented
1006	#469	C₂²×C₁₃	1	1	yes	characteristic, complemented
1007	#469	C₂²×C₁₃	1	1	yes	characteristic, complemented
1008	#469	C₂²×C₁₃	1	1	yes	characteristic, complemented
1009	#469	C₂²×C₁₃	1	1	yes	characteristic, complemented
1010	#469	C₂²×C₁₃	1	1	yes	characteristic, complemented
1011	#469	C₂²×C₁₃	1	1	yes	characteristic, complemented
1012	#469	C₂²×C₁₃	1	1	yes	characteristic, complemented
1013	#469	C₂²×C₁₃	1	1	yes	characteristic, complemented
1014	#468	C₂²×C₁₃	1	1	yes	characteristic, complemented
1015	#468	C₂²×C₁₃	1	1	yes	characteristic, complemented
1016	#468	C₂²×C₁₃	1	1	yes	characteristic, complemented
1017	#466	C₂²×C₁₃	1	1	yes	characteristic, complemented
1018	#465	C₂²×C₁₃	1	1	yes	characteristic, complemented
1019	#465	C₂²×C₁₃	1	1	yes	characteristic, complemented
1020	#465	C₂²×C₁₃	1	1	yes	characteristic, complemented
1021	#464	C₂²×C₁₃	1	1	yes	characteristic, complemented
1022	#464	C₂²×C₁₃	1	1	yes	characteristic, complemented
1023	#463	C₂²×C₁₃	1	1	yes	characteristic, complemented
1024	#463	C₂²×C₁₃	1	1	yes	characteristic, complemented
1025	#463	C₂²×C₁₃	1	1	yes	characteristic, complemented
1026	#463	C₂²×C₁₃	1	1	yes	characteristic, complemented
1027	#460	C₂²×C₁₃	1	1	yes	characteristic, complemented
1028	#460	C₂²×C₁₃	1	1	yes	characteristic, complemented
1029	#459	C₂²×C₁₃	1	1	yes	characteristic, complemented
1030	#459	C₂²×C₁₃	1	1	yes	characteristic, complemented
1031	#459	C₂²×C₁₃	1	1	yes	characteristic, complemented
1032	#459	C₂²×C₁₃	1	1	yes	characteristic, complemented
1033	#452	C₂²×C₁₃	1	1	yes	characteristic, complemented
1034	#452	C₂²×C₁₃	1	1	yes	characteristic, complemented
1035	#452	C₂²×C₁₃	1	1	yes	characteristic, complemented
1036	#452	C₂²×C₁₃	1	1	yes	characteristic, complemented
1037	#452	C₂²×C₁₃	1	1	yes	characteristic, complemented
1038	#452	C₂²×C₁₃	1	1	yes	characteristic, complemented
1039	#450	C₂²×C₁₃	1	1	yes	characteristic, complemented
1040	#450	C₂²×C₁₃	1	1	yes	characteristic, complemented
1041	#450	C₂²×C₁₃	1	1	yes	characteristic, complemented
1042	#449	C₂²×C₁₃	1	1	yes	characteristic
1043	#449	C₂²×C₁₃	1	1	yes	characteristic, complemented
1044	#449	C₂²×C₁₃	1	1	yes	characteristic, complemented
1045	#449	C₂²×C₁₃	1	1	yes	characteristic, complemented
1046	#449	C₂²×C₁₃	1	1	yes	characteristic, complemented
1047	#449	C₂²×C₁₃	1	1	yes	characteristic, complemented
1048	#449	C₂²×C₁₃	1	1	yes	characteristic, complemented
1049	#449	C₂²×C₁₃	1	1	yes	characteristic, complemented
1050	#449	C₂²×C₁₃	1	1	yes	characteristic, complemented
1051	#449	C₂²×C₁₃	1	1	yes	characteristic, complemented
1052	#449	C₂²×C₁₃	1	1	yes	characteristic, complemented
1053	#449	C₂²×C₁₃	1	1	yes	characteristic, complemented
1054	#449	C₂²×C₁₃	1	1	yes	characteristic, complemented
1055	#449	C₂²×C₁₃	1	1	yes	characteristic, complemented
1056	#448	C₂²×C₁₃	1	1	yes	characteristic, complemented
1057	#448	C₂²×C₁₃	1	1	yes	characteristic, complemented
1058	#447	C₂²×C₁₃	1	1	yes	characteristic, complemented
1059	#447	C₂²×C₁₃	1	1	yes	characteristic, complemented
1060	#447	C₂²×C₁₃	1	1	yes	characteristic, complemented
1061	#447	C₂²×C₁₃	1	1	yes	characteristic, complemented
1062	#447	C₂²×C₁₃	1	1	yes	characteristic, complemented
1063	#447	C₂²×C₁₃	1	1	yes	characteristic, complemented
1064	#447	C₂²×C₁₃	1	1	yes	characteristic, complemented
1065	#447	C₂²×C₁₃	1	1	yes	characteristic, complemented
1066	#447	C₂²×C₁₃	1	1	yes	characteristic, complemented
1067	#447	C₂²×C₁₃	1	1	yes	characteristic, complemented
1068	#447	C₂²×C₁₃	1	1	yes	characteristic, complemented
1069	#442	C₂²×C₁₃	1	1	yes	characteristic, complemented
1070	#442	C₂²×C₁₃	1	1	yes	characteristic, complemented
1071	#441	C₂²×C₁₃	1	1	yes	characteristic, complemented
1072	#440	C₂²×C₁₃	1	1	yes	characteristic, complemented
1073	C₄×SD₁₆	C₂²×C₁₃	1	1	yes	characteristic, complemented
1074	C₄×SD₁₆	C₂²×C₁₃	1	1	yes	characteristic, complemented
1075	C₄×SD₁₆	C₂²×C₁₃	1	1	yes	characteristic, complemented
1076	C₄×D₈	C₂²×C₁₃	1	1	yes	characteristic, complemented
1077	#436	C₂²×C₁₃	1	1	yes	characteristic, complemented
1078	#436	C₂²×C₁₃	1	1	yes	characteristic, complemented
1079	#436	C₂²×C₁₃	1	1	yes	characteristic, complemented
1080	#436	C₂²×C₁₃	1	1	yes	characteristic, complemented
1081	#435	C₂²×C₁₃	1	1	yes	characteristic, complemented
1082	#435	C₂²×C₁₃	1	1	yes	characteristic, complemented
1083	#435	C₂²×C₁₃	1	1	yes	characteristic, complemented
1084	#435	C₂²×C₁₃	1	1	yes	characteristic, complemented
1085	#433	C₂²×C₁₃	1	1	yes	characteristic, complemented
1086	#433	C₂²×C₁₃	1	1	yes	characteristic, complemented
1087	#419	C₂²×C₁₃	1	1	yes	characteristic, complemented
1088	#418	C₂²×C₁₃	1	1	yes	characteristic, complemented
1089	#418	C₂²×C₁₃	1	1	yes	characteristic, complemented
1090	#417	C₂²×C₁₃	1	1	yes	characteristic, complemented
1091	#417	C₂²×C₁₃	1	1	yes	characteristic, complemented
1092	#417	C₂²×C₁₃	1	1	yes	characteristic, complemented
1093	#416	C₂²×C₁₃	1	1	yes	characteristic, complemented
1094	C₂×#102	C₂²×C₁₃	1	1	yes	characteristic, complemented
1095	#408	C₂²×C₁₃	1	1	yes	characteristic, complemented
1096	#408	C₂²×C₁₃	1	1	yes	characteristic, complemented
1097	#407	C₂²×C₁₃	1	1	yes	characteristic, complemented
1098	#407	C₂²×C₁₃	1	1	yes	characteristic, complemented
1099	C₂²×C₁₃	—	2	1	no	—
1100	C₂²×C₁₃	—	2	1	no	—
1101	C₂²×C₁₃	—	2	1	no	—
1102	C₂²×C₁₃	—	2	1	no	—
1103	C₂²×C₁₃	—	2	1	no	—
1104	C₂²×C₁₃	—	2	1	no	—
1105	C₂²×C₁₃	—	2	1	no	—
1106	C₂²×C₁₃	—	2	1	no	—
1107	C₂²×C₁₃	—	2	1	no	—
1108	C₂²×C₁₃	—	2	1	no	—
1109	C₂²×C₁₃	—	2	1	no	—
1110	C₂²×C₁₃	—	2	1	no	—
1111	C₂²×C₁₃	—	2	2	no	—
1112	C₂²×C₁₃	—	2	1	no	—
1113	C₂²×C₁₃	—	2	1	no	—
1114	C₂²×C₁₃	—	2	1	no	—
1115	C₂²×C₁₃	—	4	1	no	—
1116	C₂²×C₁₃	—	4	1	no	—
1117	C₂²×C₁₃	—	4	1	no	—
1118	C₂²×C₁₃	—	4	1	no	—
1119	C₂²×C₁₃	—	4	1	no	—
1120	C₂²×C₁₃	—	4	1	no	—
1121	C₂²×C₁₃	—	4	1	no	—
1122	C₂²×C₁₃	—	4	1	no	—
1123	C₂²×C₁₃	—	4	1	no	—
1124	C₂²×C₁₃	—	4	1	no	—
1125	C₂²×C₁₃	—	4	1	no	—
1126	C₂²×C₁₃	—	4	1	no	—
1127	C₂²×C₁₃	—	4	1	no	—
1128	C₂²×C₁₃	—	4	1	no	—
1129	C₂²×C₁₃	—	4	1	no	—
1130	C₂²×C₁₃	—	4	1	no	—
1131	C₂²×C₁₃	—	4	1	no	—
1132	C₂²×C₁₃	—	4	1	no	—
1133	C₂²×C₁₃	—	4	1	no	—
1134	C₂²×C₁₃	—	4	1	no	—
1135	C₂²×C₁₃	—	8	2	no	—
1136	C₂²×C₁₃	—	8	4	no	—
1137	C₂²×C₁₃	—	16	2	no	—
1138	C₂²×C₁₃	—	16	2	no	—
1139	C₂²×C₁₃	—	16	2	no	—
1140	C₂²×C₁₃	—	16	2	no	—
1141	C₂²×C₁₃	—	16	2	no	—
1142	C₂²×C₁₃	C₂³×D₄	1	1	yes	characteristic
1143	C₄×C₁₃	—	2	1	no	—
1144	C₄×C₁₃	—	2	1	no	—
1145	C₄×C₁₃	—	2	1	no	—
1146	C₄×C₁₃	—	2	1	no	—
1147	C₄×C₁₃	—	2	1	no	—
1148	C₄×C₁₃	—	2	2	no	—
1149	C₄×C₁₃	—	2	1	no	—
1150	C₄×C₁₃	—	2	1	no	—
1151	C₄×C₁₃	—	2	1	no	—
1152	C₄×C₁₃	—	2	1	no	—
1153	C₄×C₁₃	—	4	1	no	—
1154	C₄×C₁₃	—	4	1	no	—
1155	C₄×C₁₃	—	4	1	no	—
1156	C₄×C₁₃	—	4	1	no	—
1157	C₄×C₁₃	—	4	1	no	—
1158	C₄×C₁₃	—	4	1	no	—
1159	C₄×C₁₃	—	4	1	no	—
1160	C₄×C₁₃	—	4	1	no	—
1161	C₄×C₁₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1162	C₄×C₁₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1163	H(5,𝔽₂)	—	4	2	no	—
1164	H(5,𝔽₂)	—	4	2	no	—
1165	C₂×#41	—	2	1	no	—
1166	C₂×#41	—	2	1	no	—
1167	C₂×#41	—	2	1	no	—
1168	C₂×#41	—	2	1	no	—
1169	C₂×#41	—	4	2	no	—
1170	C₂×#41	—	4	2	no	—
1171	C₂×#41	C₂³×C₁₃	1	1	yes	characteristic
1172	C₂×#41	C₂³×C₁₃	1	1	yes	characteristic
1173	C₂×#41	C₂³×C₁₃	1	1	yes	characteristic
1174	C₂×#41	C₂³×C₁₃	1	1	yes	characteristic
1175	C₂×#41	C₂³×C₁₃	1	1	yes	characteristic
1176	C₂×#41	C₂³×C₁₃	1	1	yes	characteristic
1177	C₂×#41	C₂³×C₁₃	1	1	yes	characteristic
1178	C₂×#41	C₂³×C₁₃	1	1	yes	characteristic
1179	C₂×#41	C₂³×C₁₃	1	1	yes	characteristic
1180	C₂²×Q₈	C₂³×C₁₃	1	1	yes	characteristic
1181	C₂²×D₄	—	2	1	no	—
1182	C₂²×D₄	—	2	1	no	—
1183	C₂²×D₄	—	2	1	no	—
1184	C₂²×D₄	—	2	1	no	—
1185	C₂²×D₄	—	2	1	no	—
1186	C₂²×D₄	—	2	1	no	—
1187	C₂²×D₄	—	2	1	no	—
1188	C₂²×D₄	—	2	1	no	—
1189	C₂²×D₄	—	2	1	no	—
1190	C₂²×D₄	C₂³×C₁₃	1	1	yes	characteristic
1191	C₂²×D₄	C₂³×C₁₃	1	1	yes	characteristic
1192	C₂²×D₄	C₂³×C₁₃	1	1	yes	characteristic
1193	C₂²×D₄	C₂³×C₁₃	1	1	yes	characteristic
1194	C₂²×D₄	C₂³×C₁₃	1	1	yes	characteristic
1195	C₂²×D₄	C₂³×C₁₃	1	1	yes	characteristic
1196	C₂³×C₄	—	2	1	no	—
1197	C₂³×C₄	C₂³×C₁₃	1	1	yes	characteristic
1198	#137	—	4	2	no	—
1199	AGL(1,ℤ/8)	—	4	2	no	—
1200	AGL(1,ℤ/8)	—	4	2	no	—
1201	AGL(1,ℤ/8)	—	4	2	no	—
1202	AGL(1,ℤ/8)	—	4	2	no	—
1203	AGL(1,ℤ/8)	—	4	2	no	—
1204	#135	—	4	2	no	—
1205	C₂×Q₁₆	C₂³×C₁₃	1	1	yes	characteristic
1206	C₂×Q₁₆	C₂³×C₁₃	1	1	yes	characteristic
1207	C₂×SD₁₆	C₂³×C₁₃	1	1	yes	characteristic
1208	C₂×SD₁₆	C₂³×C₁₃	1	1	yes	characteristic
1209	C₂×SD₁₆	C₂³×C₁₃	1	1	yes	characteristic
1210	C₂×SD₁₆	C₂³×C₁₃	1	1	yes	characteristic
1211	C₂×SD₁₆	C₂³×C₁₃	1	1	yes	characteristic
1212	C₂×SD₁₆	C₂³×C₁₃	1	1	yes	characteristic
1213	C₂×SD₁₆	C₂³×C₁₃	1	1	yes	characteristic
1214	C₂×SD₁₆	C₂³×C₁₃	1	1	yes	characteristic
1215	C₂×SD₁₆	C₂³×C₁₃	1	1	yes	characteristic
1216	C₂×SD₁₆	C₂³×C₁₃	1	1	yes	characteristic
1217	C₂×D₈	—	4	2	no	—
1218	C₂×D₈	C₂³×C₁₃	1	1	yes	characteristic
1219	C₂×D₈	C₂³×C₁₃	1	1	yes	characteristic
1220	C₂×D₈	C₂³×C₁₃	1	1	yes	characteristic
1221	C₂×D₈	C₂³×C₁₃	1	1	yes	characteristic
1222	C₂×D₈	C₂³×C₁₃	1	1	yes	characteristic
1223	C₂×D₈	C₂³×C₁₃	1	1	yes	characteristic
1224	C₂×D₈	C₂³×C₁₃	1	1	yes	characteristic
1225	C₂×D₈	C₂³×C₁₃	1	1	yes	characteristic
1226	C₂×D₈	C₂³×C₁₃	1	1	yes	characteristic
1227	C₂×D₈	C₂³×C₁₃	1	1	yes	characteristic
1228	C₂×D₈	C₂³×C₁₃	1	1	yes	characteristic
1229	C₂×D₈	C₂³×C₁₃	1	1	yes	characteristic
1230	C₂×M₁₆	C₂³×C₁₃	1	1	yes	characteristic
1231	C₂×M₁₆	C₂³×C₁₃	1	1	yes	characteristic
1232	C₂×M₁₆	C₂³×C₁₃	1	1	yes	characteristic
1233	C₂×M₁₆	C₂³×C₁₃	1	1	yes	characteristic
1234	C₂×M₁₆	C₂³×C₁₃	1	1	yes	characteristic
1235	C₂×M₁₆	C₂³×C₁₃	1	1	yes	characteristic
1236	C₂²×C₈	C₂³×C₁₃	1	1	yes	characteristic
1237	C₂²×C₈	C₂³×C₁₃	1	1	yes	characteristic
1238	C₄⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
1239	#127	—	2	1	no	—
1240	#127	—	2	1	no	—
1241	#127	—	2	1	no	—
1242	#127	—	2	1	no	—
1243	#127	C₂³×C₁₃	1	1	yes	characteristic
1244	#127	C₂³×C₁₃	1	1	yes	characteristic
1245	#127	C₂³×C₁₃	1	1	yes	characteristic
1246	#126	—	2	1	no	—
1247	#126	—	2	1	no	—
1248	#126	—	2	1	no	—
1249	#125	—	2	1	no	—
1250	#125	C₂³×C₁₃	1	1	yes	characteristic
1251	#124	—	2	1	no	—
1252	#124	—	2	1	no	—
1253	#124	—	2	1	no	—
1254	#124	—	2	1	no	—
1255	#124	—	2	1	no	—
1256	#124	—	2	1	no	—
1257	#124	C₂³×C₁₃	1	1	yes	characteristic
1258	#124	C₂³×C₁₃	1	1	yes	characteristic
1259	#124	C₂³×C₁₃	1	1	yes	characteristic
1260	#123	—	2	1	no	—
1261	#123	—	2	1	no	—
1262	#123	—	2	1	no	—
1263	#123	—	2	1	no	—
1264	#123	—	2	1	no	—
1265	#123	—	2	1	no	—
1266	#123	—	2	1	no	—
1267	#123	—	2	1	no	—
1268	#123	—	2	1	no	—
1269	#123	—	2	1	no	—
1270	#123	—	2	1	no	—
1271	#123	—	2	1	no	—
1272	#123	D₄×C₁₃	1	1	yes	characteristic
1273	#123	D₄×C₁₃	1	1	yes	characteristic
1274	C₂²⋊Q₈	—	2	1	no	—
1275	C₂²⋊Q₈	—	2	1	no	—
1276	C₂²⋊Q₈	—	2	1	no	—
1277	C₂²⋊Q₈	—	2	1	no	—
1278	C₂²⋊Q₈	—	2	1	no	—
1279	C₂²⋊Q₈	—	2	1	no	—
1280	C₂²⋊Q₈	D₄×C₁₃	1	1	yes	characteristic
1281	C₂²⋊Q₈	D₄×C₁₃	1	1	yes	characteristic
1282	C₂²⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
1283	C₂²⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
1284	C₂²⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
1285	C₂²⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
1286	C₂²⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
1287	#121	—	2	1	no	—
1288	#121	—	2	1	no	—
1289	#121	—	2	1	no	—
1290	#121	—	2	1	no	—
1291	#121	—	2	1	no	—
1292	#121	—	2	1	no	—
1293	#121	—	2	1	no	—
1294	#121	—	2	1	no	—
1295	#121	—	2	1	no	—
1296	#121	—	2	1	no	—
1297	#121	—	2	1	no	—
1298	#121	—	2	1	no	—
1299	#121	—	2	1	no	—
1300	#121	—	2	1	no	—
1301	#121	—	2	1	no	—
1302	#121	—	2	1	no	—
1303	#121	—	2	1	no	—
1304	#121	—	2	1	no	—
1305	#121	—	2	1	no	—
1306	#121	—	2	1	no	—
1307	#121	—	2	1	no	—
1308	#121	—	2	1	no	—
1309	#121	—	2	1	no	—
1310	#121	—	2	1	no	—
1311	#121	—	2	1	no	—
1312	#121	—	2	1	no	—
1313	#121	—	2	1	no	—
1314	#121	—	2	1	no	—
1315	#121	—	2	1	no	—
1316	#121	—	2	1	no	—
1317	#121	—	2	1	no	—
1318	#121	D₄×C₁₃	1	1	yes	characteristic
1319	#121	D₄×C₁₃	1	1	yes	characteristic
1320	#121	C₂³×C₁₃	1	1	yes	characteristic
1321	#121	C₂³×C₁₃	1	1	yes	characteristic
1322	#121	C₂³×C₁₃	1	1	yes	characteristic
1323	#121	C₂³×C₁₃	1	1	yes	characteristic
1324	#121	C₂³×C₁₃	1	1	yes	characteristic
1325	#121	C₂³×C₁₃	1	1	yes	characteristic
1326	#121	C₂³×C₁₃	1	1	yes	characteristic
1327	#121	C₂³×C₁₃	1	1	yes	characteristic
1328	#121	C₂³×C₁₃	1	1	yes	characteristic
1329	#121	C₂³×C₁₃	1	1	yes	characteristic
1330	#121	C₂³×C₁₃	1	1	yes	characteristic
1331	#121	C₂³×C₁₃	1	1	yes	characteristic
1332	#121	C₂³×C₁₃	1	1	yes	characteristic
1333	#121	C₂³×C₁₃	1	1	yes	characteristic
1334	#121	C₂³×C₁₃	1	1	yes	characteristic
1335	#120	—	2	1	no	—
1336	#120	—	2	1	no	—
1337	#120	—	2	1	no	—
1338	#120	—	2	1	no	—
1339	#120	—	2	1	no	—
1340	#120	—	2	1	no	—
1341	#120	—	2	1	no	—
1342	#120	—	2	1	no	—
1343	#120	—	2	1	no	—
1344	#120	—	2	1	no	—
1345	#120	—	2	1	no	—
1346	#120	—	2	1	no	—
1347	#120	—	2	1	no	—
1348	#120	—	2	1	no	—
1349	#120	—	2	1	no	—
1350	#120	D₄×C₁₃	1	1	yes	characteristic
1351	#120	D₄×C₁₃	1	1	yes	characteristic
1352	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
1353	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
1354	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
1355	C₄×D₄	—	2	1	no	—
1356	C₄×D₄	—	2	1	no	—
1357	C₄×D₄	—	2	1	no	—
1358	C₄×D₄	—	2	1	no	—
1359	C₄×D₄	—	2	1	no	—
1360	C₄×D₄	—	2	1	no	—
1361	C₄×D₄	—	2	1	no	—
1362	C₄×D₄	—	2	1	no	—
1363	C₄×D₄	—	2	1	no	—
1364	C₄×D₄	—	2	1	no	—
1365	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
1366	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
1367	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
1368	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
1369	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
1370	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
1371	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
1372	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
1373	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
1374	#117	—	2	1	no	—
1375	#117	—	2	1	no	—
1376	#117	—	2	1	no	—
1377	#117	C₂³×C₁₃	1	1	yes	characteristic
1378	#117	C₂³×C₁₃	1	1	yes	characteristic
1379	#117	C₂³×C₁₃	1	1	yes	characteristic
1380	C₂×C₄⋊C₄	—	2	1	no	—
1381	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1382	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1383	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1384	C₂×C₂²⋊C₄	—	2	1	no	—
1385	C₂×C₂²⋊C₄	—	2	1	no	—
1386	C₂×C₂²⋊C₄	—	2	1	no	—
1387	C₂×C₂²⋊C₄	—	2	1	no	—
1388	C₂×C₂²⋊C₄	—	2	1	no	—
1389	C₂×C₂²⋊C₄	—	2	1	no	—
1390	#107	C₂³×C₁₃	1	1	yes	characteristic
1391	#107	C₂³×C₁₃	1	1	yes	characteristic
1392	#106	C₂³×C₁₃	1	1	yes	characteristic
1393	#106	C₂³×C₁₃	1	1	yes	characteristic
1394	#106	C₂³×C₁₃	1	1	yes	characteristic
1395	#106	C₂³×C₁₃	1	1	yes	characteristic
1396	#106	C₂³×C₁₃	1	1	yes	characteristic
1397	#106	C₂³×C₁₃	1	1	yes	characteristic
1398	C₄⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
1399	C₄⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
1400	C₄⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
1401	C₄⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
1402	#103	C₂³×C₁₃	1	1	yes	characteristic
1403	#103	C₂³×C₁₃	1	1	yes	characteristic
1404	#103	C₂³×C₁₃	1	1	yes	characteristic
1405	#103	C₂³×C₁₃	1	1	yes	characteristic
1406	#103	C₂³×C₁₃	1	1	yes	characteristic
1407	#103	C₂³×C₁₃	1	1	yes	characteristic
1408	#103	C₂³×C₁₃	1	1	yes	characteristic
1409	#103	C₂³×C₁₃	1	1	yes	characteristic
1410	#103	C₂³×C₁₃	1	1	yes	characteristic
1411	#103	C₂³×C₁₃	1	1	yes	characteristic
1412	#102	C₂³×C₁₃	1	1	yes	characteristic
1413	#102	C₂³×C₁₃	1	1	yes	characteristic
1414	#102	C₂³×C₁₃	1	1	yes	characteristic
1415	#102	C₂³×C₁₃	1	1	yes	characteristic
1416	#102	C₂³×C₁₃	1	1	yes	characteristic
1417	#102	C₂³×C₁₃	1	1	yes	characteristic
1418	#102	C₂³×C₁₃	1	1	yes	characteristic
1419	#102	C₂³×C₁₃	1	1	yes	characteristic
1420	#102	C₂³×C₁₃	1	1	yes	characteristic
1421	#102	C₂³×C₁₃	1	1	yes	characteristic
1422	#102	C₂³×C₁₃	1	1	yes	characteristic
1423	#102	C₂³×C₁₃	1	1	yes	characteristic
1424	#102	C₂³×C₁₃	1	1	yes	characteristic
1425	#102	C₂³×C₁₃	1	1	yes	characteristic
1426	#102	C₂³×C₁₃	1	1	yes	characteristic
1427	#102	C₂³×C₁₃	1	1	yes	characteristic
1428	#102	C₂³×C₁₃	1	1	yes	characteristic
1429	#102	C₂³×C₁₃	1	1	yes	characteristic
1430	#102	C₂³×C₁₃	1	1	yes	characteristic
1431	#102	C₂³×C₁₃	1	1	yes	characteristic
1432	#102	C₂³×C₁₃	1	1	yes	characteristic
1433	#102	C₂³×C₁₃	1	1	yes	characteristic
1434	C₂²⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
1435	C₂²⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
1436	C₂²⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
1437	C₂²⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
1438	C₂²⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
1439	C₂²⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
1440	C₂²⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
1441	C₂²⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
1442	C₂²⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
1443	C₂²⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
1444	C₂²⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
1445	C₂²⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
1446	#97	C₂³×C₁₃	1	1	yes	characteristic
1447	#97	C₂³×C₁₃	1	1	yes	characteristic
1448	C₄×C₈	C₂³×C₁₃	1	1	yes	characteristic
1449	C₄×C₈	C₂³×C₁₃	1	1	yes	characteristic
1450	C₂×C₁₃	—	4	1	no	—
1451	C₂×C₁₃	—	4	1	no	—
1452	C₂×C₁₃	—	4	1	no	—
1453	C₂×C₁₃	—	4	1	no	—
1454	C₂×C₁₃	—	4	1	no	—
1455	C₂×C₁₃	—	4	2	no	—
1456	C₂×C₁₃	—	8	1	no	—
1457	C₂×C₁₃	—	8	1	no	—
1458	C₂×C₁₃	—	8	1	no	—
1459	C₂×C₁₃	—	8	1	no	—
1460	C₂×C₁₃	—	8	1	no	—
1461	C₂×C₁₃	—	8	1	no	—
1462	C₂×C₁₃	#3484	1	1	yes	characteristic
1463	C₂×C₁₃	#3585	1	1	yes	characteristic
1464	C₂×C₁₃	#3585	1	1	yes	characteristic
1465	C₂⁴	—	2	1	no	—
1466	C₂⁴	—	2	1	no	—
1467	C₂⁴	—	2	1	no	—
1468	C₂⁴	—	2	1	no	—
1469	C₂⁴	—	2	1	no	—
1470	C₂⁴	—	2	1	no	—
1471	C₂⁴	C₂×D₄×C₁₃	1	1	yes	characteristic
1472	#41	—	2	2	no	—
1473	#41	—	2	2	no	—
1474	#41	—	2	2	no	—
1475	#41	—	2	2	no	—
1476	#41	—	2	2	no	—
1477	#41	—	2	2	no	—
1478	#41	—	4	1	no	—
1479	#41	—	4	1	no	—
1480	#41	—	4	1	no	—
1481	#41	—	4	1	no	—
1482	#41	—	4	1	no	—
1483	#41	—	4	1	no	—
1484	#41	—	4	1	no	—
1485	#41	—	4	1	no	—
1486	#41	—	4	4	no	—
1487	#41	—	4	4	no	—
1488	#41	—	4	1	no	—
1489	#41	—	4	1	no	—
1490	#41	—	4	1	no	—
1491	#41	—	4	1	no	—
1492	#41	—	4	4	no	—
1493	#41	—	8	2	no	—
1494	C₂×Q₈	—	2	1	no	—
1495	C₂×Q₈	—	2	1	no	—
1496	C₂×Q₈	—	2	2	no	—
1497	C₂×Q₈	—	4	1	no	—
1498	C₂×Q₈	C₂×D₄×C₁₃	1	1	yes	characteristic
1499	C₂×Q₈	C₂⁴×C₁₃	1	1	yes	characteristic
1500	C₂×Q₈	C₂⁴×C₁₃	1	1	yes	characteristic
1501	C₂×Q₈	C₂⁴×C₁₃	1	1	yes	characteristic
1502	C₂×D₄	—	2	1	no	—
1503	C₂×D₄	—	2	2	no	—
1504	C₂×D₄	—	2	2	no	—
1505	C₂×D₄	—	2	2	no	—
1506	C₂×D₄	—	2	1	no	—
1507	C₂×D₄	—	2	1	no	—
1508	C₂×D₄	—	2	1	no	—
1509	C₂×D₄	—	2	1	no	—
1510	C₂×D₄	—	2	1	no	—
1511	C₂×D₄	—	2	1	no	—
1512	C₂×D₄	—	2	1	no	—
1513	C₂×D₄	—	2	1	no	—
1514	C₂×D₄	—	2	1	no	—
1515	C₂×D₄	—	2	1	no	—
1516	C₂×D₄	—	2	1	no	—
1517	C₂×D₄	—	2	1	no	—
1518	C₂×D₄	—	2	1	no	—
1519	C₂×D₄	—	2	1	no	—
1520	C₂×D₄	—	2	1	no	—
1521	C₂×D₄	—	2	1	no	—
1522	C₂×D₄	—	2	1	no	—
1523	C₂×D₄	—	2	1	no	—
1524	C₂×D₄	—	2	1	no	—
1525	C₂×D₄	—	2	1	no	—
1526	C₂×D₄	—	2	1	no	—
1527	C₂×D₄	—	2	1	no	—
1528	C₂×D₄	—	2	1	no	—
1529	C₂×D₄	—	2	1	no	—
1530	C₂×D₄	—	2	1	no	—
1531	C₂×D₄	—	2	1	no	—
1532	C₂×D₄	—	2	1	no	—
1533	C₂×D₄	—	2	1	no	—
1534	C₂×D₄	—	2	1	no	—
1535	C₂×D₄	—	2	1	no	—
1536	C₂×D₄	—	2	1	no	—
1537	C₂×D₄	—	2	1	no	—
1538	C₂×D₄	—	2	1	no	—
1539	C₂×D₄	—	2	1	no	—
1540	C₂×D₄	—	4	1	no	—
1541	C₂×D₄	—	4	1	no	—
1542	C₂×D₄	—	4	1	no	—
1543	C₂×D₄	—	4	1	no	—
1544	C₂×D₄	—	4	1	no	—
1545	C₂×D₄	—	4	1	no	—
1546	C₂×D₄	—	4	1	no	—
1547	C₂×D₄	—	4	1	no	—
1548	C₂×D₄	—	4	1	no	—
1549	C₂×D₄	—	4	4	no	—
1550	C₂×D₄	—	4	4	no	—
1551	C₂×D₄	—	4	4	no	—
1552	C₂×D₄	—	4	4	no	—
1553	C₂×D₄	—	8	2	no	—
1554	C₂×D₄	—	8	2	no	—
1555	C₂×D₄	—	8	2	no	—
1556	C₂×D₄	—	8	2	no	—
1557	C₂×D₄	—	8	2	no	—
1558	C₂×D₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1559	C₂×D₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1560	C₂×D₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1561	C₂×D₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1562	C₂×D₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1563	C₂×D₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1564	C₂×D₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1565	C₂×D₄	C₂⁴×C₁₃	1	1	yes	characteristic
1566	C₂×D₄	C₂⁴×C₁₃	1	1	yes	characteristic
1567	C₂×D₄	C₂⁴×C₁₃	1	1	yes	characteristic
1568	C₂×D₄	C₂⁴×C₁₃	1	1	yes	characteristic
1569	C₂×D₄	C₂⁴×C₁₃	1	1	yes	characteristic
1570	C₂×D₄	C₂⁴×C₁₃	1	1	yes	characteristic
1571	C₂×D₄	C₂⁴×C₁₃	1	1	yes	characteristic
1572	C₂²×C₄	—	2	1	no	—
1573	C₂²×C₄	—	2	1	no	—
1574	C₂²×C₄	—	2	1	no	—
1575	C₂²×C₄	—	2	1	no	—
1576	C₂²×C₄	—	2	1	no	—
1577	C₂²×C₄	—	2	1	no	—
1578	C₂²×C₄	—	2	1	no	—
1579	C₂²×C₄	—	2	1	no	—
1580	C₂²×C₄	—	2	1	no	—
1581	C₂²×C₄	—	2	1	no	—
1582	C₂²×C₄	—	2	1	no	—
1583	C₂²×C₄	—	2	1	no	—
1584	C₂²×C₄	—	2	1	no	—
1585	C₂²×C₄	—	2	1	no	—
1586	C₂²×C₄	—	2	1	no	—
1587	C₂²×C₄	—	2	1	no	—
1588	C₂²×C₄	—	2	1	no	—
1589	C₂²×C₄	—	4	1	no	—
1590	C₂²×C₄	—	4	1	no	—
1591	C₂²×C₄	—	4	4	no	—
1592	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1593	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1594	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1595	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1596	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1597	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1598	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1599	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1600	Q₁₆	—	2	2	no	—
1601	Q₁₆	—	4	1	no	—
1602	SD₁₆	—	2	2	no	—
1603	SD₁₆	—	2	2	no	—
1604	SD₁₆	—	2	2	no	—
1605	SD₁₆	—	2	2	no	—
1606	SD₁₆	—	4	1	no	—
1607	SD₁₆	—	4	1	no	—
1608	SD₁₆	—	4	1	no	—
1609	SD₁₆	—	4	1	no	—
1610	SD₁₆	—	4	1	no	—
1611	SD₁₆	—	4	1	no	—
1612	D₈	—	2	2	no	—
1613	D₈	—	2	2	no	—
1614	D₈	—	2	2	no	—
1615	D₈	—	4	1	no	—
1616	D₈	—	4	1	no	—
1617	D₈	—	4	1	no	—
1618	D₈	—	4	1	no	—
1619	D₈	—	4	1	no	—
1620	D₈	—	4	1	no	—
1621	D₈	—	4	1	no	—
1622	D₈	—	4	1	no	—
1623	D₈	—	4	1	no	—
1624	M₁₆	—	4	1	no	—
1625	M₁₆	—	4	1	no	—
1626	M₁₆	—	4	1	no	—
1627	M₁₆	—	4	1	no	—
1628	M₁₆	—	4	1	no	—
1629	M₁₆	—	4	1	no	—
1630	C₂×C₈	—	4	1	no	—
1631	C₂×C₈	—	4	1	no	—
1632	C₂×C₈	C₂⁴×C₁₃	1	1	yes	characteristic
1633	C₂×C₈	C₂⁴×C₁₃	1	1	yes	characteristic
1634	C₂×C₈	C₂⁴×C₁₃	1	1	yes	characteristic
1635	C₂×C₈	C₂⁴×C₁₃	1	1	yes	characteristic
1636	C₂×C₈	C₂⁴×C₁₃	1	1	yes	characteristic
1637	C₂×C₈	C₂⁴×C₁₃	1	1	yes	characteristic
1638	C₂×C₈	C₂⁴×C₁₃	1	1	yes	characteristic
1639	C₂×C₈	C₂⁴×C₁₃	1	1	yes	characteristic
1640	C₄⋊C₄	—	2	1	no	—
1641	C₄⋊C₄	—	2	1	no	—
1642	C₄⋊C₄	—	2	1	no	—
1643	C₄⋊C₄	—	2	1	no	—
1644	C₄⋊C₄	—	2	1	no	—
1645	C₄⋊C₄	—	2	1	no	—
1646	C₄⋊C₄	—	2	1	no	—
1647	C₄⋊C₄	—	2	1	no	—
1648	C₄⋊C₄	—	2	1	no	—
1649	C₄⋊C₄	—	2	1	no	—
1650	C₄⋊C₄	—	2	1	no	—
1651	C₄⋊C₄	—	2	1	no	—
1652	C₄⋊C₄	—	2	1	no	—
1653	C₄⋊C₄	—	2	1	no	—
1654	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1655	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1656	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1657	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1658	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1659	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1660	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1661	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1662	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1663	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1664	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1665	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1666	C₂²⋊C₄	—	2	1	no	—
1667	C₂²⋊C₄	—	2	1	no	—
1668	C₂²⋊C₄	—	2	1	no	—
1669	C₂²⋊C₄	—	2	1	no	—
1670	C₂²⋊C₄	—	2	1	no	—
1671	C₂²⋊C₄	—	2	1	no	—
1672	C₂²⋊C₄	—	2	1	no	—
1673	C₂²⋊C₄	—	2	1	no	—
1674	C₂²⋊C₄	—	2	1	no	—
1675	C₂²⋊C₄	—	2	1	no	—
1676	C₂²⋊C₄	—	2	1	no	—
1677	C₂²⋊C₄	—	2	1	no	—
1678	C₂²⋊C₄	—	2	1	no	—
1679	C₂²⋊C₄	—	2	1	no	—
1680	C₂²⋊C₄	—	2	1	no	—
1681	C₂²⋊C₄	—	2	1	no	—
1682	C₂²⋊C₄	—	2	1	no	—
1683	C₂²⋊C₄	—	2	1	no	—
1684	C₂²⋊C₄	—	2	1	no	—
1685	C₂²⋊C₄	—	2	1	no	—
1686	C₂²⋊C₄	—	2	1	no	—
1687	C₂²⋊C₄	—	2	1	no	—
1688	C₂²⋊C₄	—	2	1	no	—
1689	C₂²⋊C₄	—	2	1	no	—
1690	C₂²⋊C₄	—	2	1	no	—
1691	C₂²⋊C₄	—	2	1	no	—
1692	C₂²⋊C₄	—	2	1	no	—
1693	C₂²⋊C₄	—	2	1	no	—
1694	C₂²⋊C₄	—	2	1	no	—
1695	C₂²⋊C₄	—	2	1	no	—
1696	C₂²⋊C₄	—	2	1	no	—
1697	C₂²⋊C₄	—	2	1	no	—
1698	C₂²⋊C₄	—	2	1	no	—
1699	C₂²⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1700	C₂²⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1701	C₂²⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1702	C₂²⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1703	C₂²⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1704	C₂²⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1705	C₂²⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1706	C₂²⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1707	C₂²⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1708	C₂²⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1709	C₄²	—	2	1	no	—
1710	C₄²	—	2	1	no	—
1711	C₄²	—	2	1	no	—
1712	C₄²	—	2	1	no	—
1713	C₄²	—	2	1	no	—
1714	C₄²	C₂⁴×C₁₃	1	1	yes	characteristic
1715	C₄²	C₂⁴×C₁₃	1	1	yes	characteristic
1716	C₁₃	#61653	1	1	yes	characteristic, direct product factor, Sylow
1717	C₂³	—	2	1	no	—
1718	C₂³	—	2	1	no	—
1719	C₂³	—	2	1	no	—
1720	C₂³	—	2	1	no	—
1721	C₂³	—	2	1	no	—
1722	C₂³	—	2	1	no	—
1723	C₂³	—	2	1	no	—
1724	C₂³	—	4	1	no	—
1725	C₂³	—	4	1	no	—
1726	C₂³	—	4	1	no	—
1727	C₂³	—	4	2	no	—
1728	C₂³	—	4	2	no	—
1729	C₂³	—	4	2	no	—
1730	C₂³	—	4	2	no	—
1731	C₂³	—	4	2	no	—
1732	C₂³	—	4	2	no	—
1733	C₂³	—	8	1	no	—
1734	C₂³	—	8	1	no	—
1735	C₂³	—	8	1	no	—
1736	C₂³	—	8	1	no	—
1737	C₂³	—	8	1	no	—
1738	C₂³	—	8	1	no	—
1739	C₂³	—	8	1	no	—
1740	C₂³	—	8	1	no	—
1741	C₂³	—	8	1	no	—
1742	C₂³	—	8	1	no	—
1743	C₂³	—	8	1	no	—
1744	C₂³	—	8	1	no	—
1745	C₂³	C₂²×D₄×C₁₃	1	1	yes	characteristic
1746	C₂³	C₂²×D₄×C₁₃	1	1	yes	characteristic
1747	C₂³	C₂²×D₄×C₁₃	1	1	yes	characteristic
1748	C₂³	C₂²×D₄×C₁₃	1	1	yes	characteristic
1749	C₂³	C₂²×D₄×C₁₃	1	1	yes	characteristic
1750	Q₈	—	2	1	no	—
1751	Q₈	—	2	1	no	—
1752	Q₈	—	2	1	no	—
1753	Q₈	—	2	1	no	—
1754	Q₈	—	2	1	no	—
1755	Q₈	—	4	1	no	—
1756	Q₈	—	4	2	no	—
1757	Q₈	—	8	1	no	—
1758	Q₈	C₁₃×H(5,𝔽₂)	1	2	yes	—
1759	D₄	—	2	4	no	—
1760	D₄	—	2	1	no	—
1761	D₄	—	2	1	no	—
1762	D₄	—	2	1	no	—
1763	D₄	—	2	1	no	—
1764	D₄	—	2	1	no	—
1765	D₄	—	2	1	no	—
1766	D₄	—	2	1	no	—
1767	D₄	—	2	1	no	—
1768	D₄	—	2	1	no	—
1769	D₄	—	2	1	no	—
1770	D₄	—	2	1	no	—
1771	D₄	—	2	1	no	—
1772	D₄	—	2	1	no	—
1773	D₄	—	4	1	no	—
1774	D₄	—	4	1	no	—
1775	D₄	—	4	1	no	—
1776	D₄	—	4	1	no	—
1777	D₄	—	4	1	no	—
1778	D₄	—	4	1	no	—
1779	D₄	—	4	1	no	—
1780	D₄	—	4	2	no	—
1781	D₄	—	4	2	no	—
1782	D₄	—	4	2	no	—
1783	D₄	—	4	2	no	—
1784	D₄	—	4	2	no	—
1785	D₄	—	4	2	no	—
1786	D₄	—	4	2	no	—
1787	D₄	—	4	2	no	—
1788	D₄	—	4	2	no	—
1789	D₄	—	4	2	no	—
1790	D₄	—	4	2	no	—
1791	D₄	—	4	2	no	—
1792	D₄	—	8	1	no	—
1793	D₄	—	8	1	no	—
1794	D₄	—	8	1	no	—
1795	D₄	—	8	1	no	—
1796	D₄	—	8	1	no	—
1797	D₄	—	8	1	no	—
1798	D₄	—	8	1	no	—
1799	D₄	—	8	1	no	—
1800	D₄	—	8	1	no	—
1801	D₄	—	8	1	no	—
1802	D₄	—	8	1	no	—
1803	D₄	—	8	1	no	—
1804	D₄	—	8	1	no	—
1805	D₄	—	8	1	no	—
1806	D₄	—	8	1	no	—
1807	D₄	—	8	1	no	—
1808	D₄	—	8	1	no	—
1809	D₄	—	8	1	no	—
1810	D₄	—	8	1	no	—
1811	D₄	—	8	1	no	—
1812	D₄	—	8	1	no	—
1813	D₄	—	8	1	no	—
1814	D₄	C₁₃×H(5,𝔽₂)	1	2	yes	—
1815	C₂×C₄	—	2	4	no	—
1816	C₂×C₄	—	2	1	no	—
1817	C₂×C₄	—	2	1	no	—
1818	C₂×C₄	—	2	1	no	—
1819	C₂×C₄	—	2	1	no	—
1820	C₂×C₄	—	2	1	no	—
1821	C₂×C₄	—	2	1	no	—
1822	C₂×C₄	—	2	1	no	—
1823	C₂×C₄	—	2	1	no	—
1824	C₂×C₄	—	2	1	no	—
1825	C₂×C₄	—	2	1	no	—
1826	C₂×C₄	—	2	1	no	—
1827	C₂×C₄	—	2	1	no	—
1828	C₂×C₄	—	2	1	no	—
1829	C₂×C₄	—	2	1	no	—
1830	C₂×C₄	—	2	1	no	—
1831	C₂×C₄	—	2	1	no	—
1832	C₂×C₄	—	2	1	no	—
1833	C₂×C₄	—	2	1	no	—
1834	C₂×C₄	—	2	1	no	—
1835	C₂×C₄	—	4	1	no	—
1836	C₂×C₄	—	4	1	no	—
1837	C₂×C₄	—	4	1	no	—
1838	C₂×C₄	—	4	2	no	—
1839	C₂×C₄	—	4	2	no	—
1840	C₂×C₄	—	4	2	no	—
1841	C₂×C₄	—	4	2	no	—
1842	C₂×C₄	—	4	2	no	—
1843	C₂×C₄	—	4	2	no	—
1844	C₂×C₄	—	4	2	no	—
1845	C₂×C₄	—	8	1	no	—
1846	C₂×C₄	—	8	1	no	—
1847	C₂×C₄	—	8	1	no	—
1848	C₂×C₄	—	8	1	no	—
1849	C₂×C₄	—	8	1	no	—
1850	C₂×C₄	—	8	1	no	—
1851	C₂×C₄	—	8	1	no	—
1852	C₂×C₄	—	8	1	no	—
1853	C₂×C₄	—	8	1	no	—
1854	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1855	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1856	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1857	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1858	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1859	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1860	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1861	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1862	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1863	C₂×C₄	C₂⁵×C₁₃	1	1	yes	characteristic
1864	C₈	—	2	1	no	—
1865	C₈	—	2	1	no	—
1866	C₈	—	2	1	no	—
1867	C₈	—	2	1	no	—
1868	C₈	—	2	1	no	—
1869	C₈	—	2	1	no	—
1870	C₈	—	2	1	no	—
1871	C₈	—	2	1	no	—
1872	C₂²	—	2	1	no	—
1873	C₂²	—	2	1	no	—
1874	C₂²	—	2	1	no	—
1875	C₂²	—	2	1	no	—
1876	C₂²	—	2	1	no	—
1877	C₂²	—	2	1	no	—
1878	C₂²	—	2	1	no	—
1879	C₂²	—	2	1	no	—
1880	C₂²	—	2	1	no	—
1881	C₂²	—	2	1	no	—
1882	C₂²	—	2	1	no	—
1883	C₂²	—	2	1	no	—
1884	C₂²	—	2	2	no	—
1885	C₂²	—	2	1	no	—
1886	C₂²	—	2	1	no	—
1887	C₂²	—	2	1	no	—
1888	C₂²	—	4	1	no	—
1889	C₂²	—	4	1	no	—
1890	C₂²	—	4	1	no	—
1891	C₂²	—	4	1	no	—
1892	C₂²	—	4	1	no	—
1893	C₂²	—	4	1	no	—
1894	C₂²	—	4	1	no	—
1895	C₂²	—	4	1	no	—
1896	C₂²	—	4	1	no	—
1897	C₂²	—	4	1	no	—
1898	C₂²	—	4	1	no	—
1899	C₂²	—	4	1	no	—
1900	C₂²	—	4	1	no	—
1901	C₂²	—	4	1	no	—
1902	C₂²	—	4	1	no	—
1903	C₂²	—	4	1	no	—
1904	C₂²	—	4	1	no	—
1905	C₂²	—	4	1	no	—
1906	C₂²	—	4	1	no	—
1907	C₂²	—	4	1	no	—
1908	C₂²	—	8	2	no	—
1909	C₂²	—	8	4	no	—
1910	C₂²	—	16	2	no	—
1911	C₂²	—	16	2	no	—
1912	C₂²	—	16	2	no	—
1913	C₂²	—	16	2	no	—
1914	C₂²	—	16	2	no	—
1915	C₂²	C₂³×D₄×C₁₃	1	1	yes	characteristic
1916	C₄	—	2	1	no	—
1917	C₄	—	2	1	no	—
1918	C₄	—	2	1	no	—
1919	C₄	—	2	1	no	—
1920	C₄	—	2	1	no	—
1921	C₄	—	2	2	no	—
1922	C₄	—	2	1	no	—
1923	C₄	—	2	1	no	—
1924	C₄	—	2	1	no	—
1925	C₄	—	2	1	no	—
1926	C₄	—	4	1	no	—
1927	C₄	—	4	1	no	—
1928	C₄	—	4	1	no	—
1929	C₄	—	4	1	no	—
1930	C₄	—	4	1	no	—
1931	C₄	—	4	1	no	—
1932	C₄	—	4	1	no	—
1933	C₄	—	4	1	no	—
1934	C₄	C₂×C₁₃×H(5,𝔽₂)	1	1	yes	characteristic
1935	C₄	C₂×C₁₃×H(5,𝔽₂)	1	1	yes	characteristic
1936	C₂	—	4	1	no	—
1937	C₂	—	4	1	no	—
1938	C₂	—	4	1	no	—
1939	C₂	—	4	1	no	—
1940	C₂	—	4	1	no	—
1941	C₂	—	4	2	no	—
1942	C₂	—	8	1	no	—
1943	C₂	—	8	1	no	—
1944	C₂	—	8	1	no	—
1945	C₂	—	8	1	no	—
1946	C₂	—	8	1	no	—
1947	C₂	—	8	1	no	—
1948	C₂	C₁₃×#3484	1	1	yes	characteristic
1949	C₂	C₁₃×#3585	1	1	yes	characteristic
1950	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 ◁ C₁₃×#525 ◁ G

Complements

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

N	H ≅ G/N	type
1. C₁₃×#3542	C₂	semidirect
2. C₁₃×#3488	C₂	semidirect
3. C₁₃×#3332	C₂	semidirect
4. C₁₃×#3326	C₂	semidirect
5. C₁₃×#3325	C₂	semidirect
6. C₁₃×#3323	C₂	semidirect
7. C₁₃×#3321	C₂	semidirect
8. C₁₃×#3318	C₂	semidirect
9. C₁₃×#3317	C₂	semidirect
10. C₁₃×#3306	C₂	semidirect
11. C₁₃×#3275	C₂	semidirect
12. C₁₃×#3274	C₂	semidirect
13. C₁₃×#3274	C₂	semidirect
14. C₁₃×#3273	C₂	semidirect
15. C₁₃×#3271	C₂	semidirect
16. C₁₃×#3268	C₂	semidirect
17. C₁₃×#3264	C₂	semidirect
18. C₁₃×#3264	C₂	semidirect
19. C₁₃×#3224	C₂	semidirect
20. C₁₃×#3220	C₂	semidirect
21. C₁₃×#3204	C₂	semidirect
22. C₁₃×#3198	C₂	semidirect
23. C₁₃×#3194	C₂	semidirect
24. C₁₃×#3192	C₂	semidirect
25. C₁₃×#3125	C₂	semidirect
26. C₁₃×#3119	C₂	semidirect
27. C₁₃×#3012	C₂	semidirect
28. C₁₃×#3008	C₂	semidirect
29. C₁₃×#3006	C₂	semidirect
30. C₁₃×#3005	C₂	semidirect
31. C₁₃×#2978	C₂	semidirect
32. C₂×C₁₃×H(5,𝔽₂)	C₂²	semidirect
33. C₂²×C₁₃×#41	C₂²	semidirect
34. C₂×C₁₃×#137	C₂²	semidirect
35. C₂×C₁₃×AGL(1,ℤ/8)	C₂²	semidirect
36. C₂×C₁₃×AGL(1,ℤ/8)	C₂²	semidirect
37. C₂×C₁₃×AGL(1,ℤ/8)	C₂²	semidirect
38. C₂×C₁₃×AGL(1,ℤ/8)	C₂²	semidirect
39. C₂×C₁₃×AGL(1,ℤ/8)	C₂²	semidirect
40. C₂×C₁₃×#135	C₂²	semidirect
41. C₂²×C₁₃×D₈	C₂²	semidirect
44. C₁₃×#555	C₂²	semidirect
45. C₁₃×#553	C₂²	semidirect
46. C₁₃×#552	C₂²	semidirect
49. C₁₃×#550	C₂²	semidirect
50. C₁₃×#550	C₂²	semidirect
51. C₁₃×#548	C₂²	semidirect
52. C₁₃×#548	C₂²	semidirect
53. C₁₃×#547	C₂²	semidirect
58. C₁₃×#546	C₂²	semidirect
59. C₁₃×#546	C₂²	semidirect
60. C₁₃×#546	C₂²	semidirect
63. D₄²×C₁₃	C₂²	semidirect
64. D₄²×C₁₃	C₂²	semidirect
65. D₄²×C₁₃	C₂²	semidirect
66. C₁₃×#542	C₂²	semidirect
68. C₁₃×#540	C₂²	semidirect
71. C₁₃×#537	C₂²	semidirect
72. C₁₃×#537	C₂²	semidirect
75. C₁₃×#535	C₂²	semidirect
76. C₁₃×#535	C₂²	semidirect
80. C₁₃×#525	C₂²	semidirect
82. C₂×C₁₃×#121	C₂²	semidirect
83. C₂×C₁₃×#121	C₂²	semidirect
84. C₁₃×#520	C₂²	semidirect
85. C₁₃×#496	C₂²	semidirect
86. C₁₃×#496	C₂²	semidirect
87. C₁₃×#495	C₂²	semidirect
88. C₁₃×#493	C₂²	semidirect
89. C₁₃×#490	C₂²	semidirect
90. C₁₃×#489	C₂²	semidirect
91. C₁₃×#488	C₂²	semidirect
92. C₁₃×#486	C₂²	semidirect
93. C₁₃×#485	C₂²	semidirect
94. C₁₃×#483	C₂²	semidirect
95. C₁₃×#483	C₂²	semidirect
96. C₁₃×#482	C₂²	semidirect
97. C₁₃×#482	C₂²	semidirect
98. C₁₃×#482	C₂²	semidirect
99. C₁₃×#481	C₂²	semidirect
100. C₁₃×#481	C₂²	semidirect
101. C₁₃×#481	C₂²	semidirect
102. C₁₃×#481	C₂²	semidirect
103. C₁₃×#481	C₂²	semidirect
104. C₁₃×#480	C₂²	semidirect
105. C₁₃×#479	C₂²	semidirect
106. C₁₃×#478	C₂²	semidirect
107. C₁₃×#476	C₂²	semidirect
108. C₁₃×#475	C₂²	semidirect
109. C₁₃×#470	C₂²	semidirect
110. C₁₃×#469	C₂²	semidirect
111. C₁₃×#469	C₂²	semidirect
112. C₁₃×#469	C₂²	semidirect
113. C₁₃×#469	C₂²	semidirect
114. C₁₃×#469	C₂²	semidirect
115. C₁₃×#469	C₂²	semidirect
116. C₁₃×#469	C₂²	semidirect
117. C₁₃×#469	C₂²	semidirect
118. C₁₃×#468	C₂²	semidirect
119. C₁₃×#468	C₂²	semidirect
120. C₁₃×#468	C₂²	semidirect
121. C₁₃×#466	C₂²	semidirect
122. C₁₃×#465	C₂²	semidirect
123. C₁₃×#465	C₂²	semidirect
124. C₁₃×#465	C₂²	semidirect
125. C₁₃×#464	C₂²	semidirect
126. C₁₃×#464	C₂²	semidirect
127. C₁₃×#463	C₂²	semidirect
128. C₁₃×#463	C₂²	semidirect
129. C₁₃×#463	C₂²	semidirect
130. C₁₃×#463	C₂²	semidirect
131. C₁₃×#460	C₂²	semidirect
132. C₁₃×#460	C₂²	semidirect
133. C₁₃×#459	C₂²	semidirect
134. C₁₃×#459	C₂²	semidirect
135. C₁₃×#459	C₂²	semidirect
136. C₁₃×#459	C₂²	semidirect
137. C₁₃×#452	C₂²	semidirect
138. C₁₃×#452	C₂²	semidirect
139. C₁₃×#452	C₂²	semidirect
140. C₁₃×#452	C₂²	semidirect
141. C₁₃×#452	C₂²	semidirect
142. C₁₃×#452	C₂²	semidirect
143. C₁₃×#450	C₂²	semidirect
144. C₁₃×#450	C₂²	semidirect
145. C₁₃×#450	C₂²	semidirect
147. C₁₃×#449	C₂²	semidirect
148. C₁₃×#449	C₂²	semidirect
149. C₁₃×#449	C₂²	semidirect
150. C₁₃×#449	C₂²	semidirect
151. C₁₃×#449	C₂²	semidirect
152. C₁₃×#449	C₂²	semidirect
153. C₁₃×#449	C₂²	semidirect
154. C₁₃×#449	C₂²	semidirect
155. C₁₃×#449	C₂²	semidirect
156. C₁₃×#449	C₂²	semidirect
157. C₁₃×#449	C₂²	semidirect
158. C₁₃×#449	C₂²	semidirect
159. C₁₃×#449	C₂²	semidirect
160. C₁₃×#448	C₂²	semidirect
161. C₁₃×#448	C₂²	semidirect
162. C₁₃×#447	C₂²	semidirect
163. C₁₃×#447	C₂²	semidirect
164. C₁₃×#447	C₂²	semidirect
165. C₁₃×#447	C₂²	semidirect
166. C₁₃×#447	C₂²	semidirect
167. C₁₃×#447	C₂²	semidirect
168. C₁₃×#447	C₂²	semidirect
169. C₁₃×#447	C₂²	semidirect
170. C₁₃×#447	C₂²	semidirect
171. C₁₃×#447	C₂²	semidirect
172. C₁₃×#447	C₂²	semidirect
173. C₁₃×#442	C₂²	semidirect
174. C₁₃×#442	C₂²	semidirect
175. C₁₃×#441	C₂²	semidirect
176. C₁₃×#440	C₂²	semidirect
177. C₄×C₁₃×SD₁₆	C₂²	semidirect
178. C₄×C₁₃×SD₁₆	C₂²	semidirect
179. C₄×C₁₃×SD₁₆	C₂²	semidirect
180. C₄×C₁₃×D₈	C₂²	semidirect
181. C₁₃×#436	C₂²	semidirect
182. C₁₃×#436	C₂²	semidirect
183. C₁₃×#436	C₂²	semidirect
184. C₁₃×#436	C₂²	semidirect
185. C₁₃×#435	C₂²	semidirect
186. C₁₃×#435	C₂²	semidirect
187. C₁₃×#435	C₂²	semidirect
188. C₁₃×#435	C₂²	semidirect
189. C₁₃×#433	C₂²	semidirect
190. C₁₃×#433	C₂²	semidirect
191. C₁₃×#419	C₂²	semidirect
192. C₁₃×#418	C₂²	semidirect
193. C₁₃×#418	C₂²	semidirect
194. C₁₃×#417	C₂²	semidirect
195. C₁₃×#417	C₂²	semidirect
196. C₁₃×#417	C₂²	semidirect
197. C₁₃×#416	C₂²	semidirect
198. C₂×C₁₃×#102	C₂²	semidirect
199. C₁₃×#408	C₂²	semidirect
200. C₁₃×#408	C₂²	semidirect
201. C₁₃×#407	C₂²	semidirect
202. C₁₃×#407	C₂²	semidirect
490. #61653	C₁₃	direct (N × H)
742. #3542	C₂×C₁₃	semidirect
743. #3488	C₂×C₁₃	semidirect
744. #3332	C₂×C₁₃	semidirect
745. #3326	C₂×C₁₃	semidirect
746. #3325	C₂×C₁₃	semidirect
747. #3323	C₂×C₁₃	semidirect
748. #3321	C₂×C₁₃	semidirect
749. #3318	C₂×C₁₃	semidirect
750. #3317	C₂×C₁₃	semidirect
751. #3306	C₂×C₁₃	semidirect
752. #3275	C₂×C₁₃	semidirect
753. #3274	C₂×C₁₃	semidirect
754. #3274	C₂×C₁₃	semidirect
755. #3273	C₂×C₁₃	semidirect
756. #3271	C₂×C₁₃	semidirect
757. #3268	C₂×C₁₃	semidirect
758. #3264	C₂×C₁₃	semidirect
759. #3264	C₂×C₁₃	semidirect
760. #3224	C₂×C₁₃	semidirect
761. #3220	C₂×C₁₃	semidirect
762. #3204	C₂×C₁₃	semidirect
763. #3198	C₂×C₁₃	semidirect
764. #3194	C₂×C₁₃	semidirect
765. #3192	C₂×C₁₃	semidirect
766. #3125	C₂×C₁₃	semidirect
767. #3119	C₂×C₁₃	semidirect
768. #3012	C₂×C₁₃	semidirect
769. #3008	C₂×C₁₃	semidirect
770. #3006	C₂×C₁₃	semidirect
771. #3005	C₂×C₁₃	semidirect
772. #2978	C₂×C₁₃	semidirect
928. C₂×H(5,𝔽₂)	C₂²×C₁₃	semidirect
929. C₂²×#41	C₂²×C₁₃	semidirect
930. C₂×#137	C₂²×C₁₃	semidirect
931. C₂×AGL(1,ℤ/8)	C₂²×C₁₃	semidirect
932. C₂×AGL(1,ℤ/8)	C₂²×C₁₃	semidirect
933. C₂×AGL(1,ℤ/8)	C₂²×C₁₃	semidirect
934. C₂×AGL(1,ℤ/8)	C₂²×C₁₃	semidirect
935. C₂×AGL(1,ℤ/8)	C₂²×C₁₃	semidirect
936. C₂×#135	C₂²×C₁₃	semidirect
937. C₂²×D₈	C₂²×C₁₃	semidirect
940. #555	C₂²×C₁₃	semidirect
941. #553	C₂²×C₁₃	semidirect
942. #552	C₂²×C₁₃	semidirect
945. #550	C₂²×C₁₃	semidirect
946. #550	C₂²×C₁₃	semidirect
947. #548	C₂²×C₁₃	semidirect
948. #548	C₂²×C₁₃	semidirect
949. #547	C₂²×C₁₃	semidirect
954. #546	C₂²×C₁₃	semidirect
955. #546	C₂²×C₁₃	semidirect
956. #546	C₂²×C₁₃	semidirect
959. D₄²	C₂²×C₁₃	semidirect
960. D₄²	C₂²×C₁₃	semidirect
961. D₄²	C₂²×C₁₃	semidirect
962. #542	C₂²×C₁₃	semidirect
964. #540	C₂²×C₁₃	semidirect
967. #537	C₂²×C₁₃	semidirect
968. #537	C₂²×C₁₃	semidirect
971. #535	C₂²×C₁₃	semidirect
972. #535	C₂²×C₁₃	semidirect
976. #525	C₂²×C₁₃	semidirect
978. C₂×#121	C₂²×C₁₃	semidirect
979. C₂×#121	C₂²×C₁₃	semidirect
980. #520	C₂²×C₁₃	semidirect
981. #496	C₂²×C₁₃	semidirect
982. #496	C₂²×C₁₃	semidirect
983. #495	C₂²×C₁₃	semidirect
984. #493	C₂²×C₁₃	semidirect
985. #490	C₂²×C₁₃	semidirect
986. #489	C₂²×C₁₃	semidirect
987. #488	C₂²×C₁₃	semidirect
988. #486	C₂²×C₁₃	semidirect
989. #485	C₂²×C₁₃	semidirect
990. #483	C₂²×C₁₃	semidirect
991. #483	C₂²×C₁₃	semidirect
992. #482	C₂²×C₁₃	semidirect
993. #482	C₂²×C₁₃	semidirect
994. #482	C₂²×C₁₃	semidirect
995. #481	C₂²×C₁₃	semidirect
996. #481	C₂²×C₁₃	semidirect
997. #481	C₂²×C₁₃	semidirect
998. #481	C₂²×C₁₃	semidirect
999. #481	C₂²×C₁₃	semidirect
1000. #480	C₂²×C₁₃	semidirect
1001. #479	C₂²×C₁₃	semidirect
1002. #478	C₂²×C₁₃	semidirect
1003. #476	C₂²×C₁₃	semidirect
1004. #475	C₂²×C₁₃	semidirect
1005. #470	C₂²×C₁₃	semidirect
1006. #469	C₂²×C₁₃	semidirect
1007. #469	C₂²×C₁₃	semidirect
1008. #469	C₂²×C₁₃	semidirect
1009. #469	C₂²×C₁₃	semidirect
1010. #469	C₂²×C₁₃	semidirect
1011. #469	C₂²×C₁₃	semidirect
1012. #469	C₂²×C₁₃	semidirect
1013. #469	C₂²×C₁₃	semidirect
1014. #468	C₂²×C₁₃	semidirect
1015. #468	C₂²×C₁₃	semidirect
1016. #468	C₂²×C₁₃	semidirect
1017. #466	C₂²×C₁₃	semidirect
1018. #465	C₂²×C₁₃	semidirect
1019. #465	C₂²×C₁₃	semidirect
1020. #465	C₂²×C₁₃	semidirect
1021. #464	C₂²×C₁₃	semidirect
1022. #464	C₂²×C₁₃	semidirect
1023. #463	C₂²×C₁₃	semidirect
1024. #463	C₂²×C₁₃	semidirect
1025. #463	C₂²×C₁₃	semidirect
1026. #463	C₂²×C₁₃	semidirect
1027. #460	C₂²×C₁₃	semidirect
1028. #460	C₂²×C₁₃	semidirect
1029. #459	C₂²×C₁₃	semidirect
1030. #459	C₂²×C₁₃	semidirect
1031. #459	C₂²×C₁₃	semidirect
1032. #459	C₂²×C₁₃	semidirect
1033. #452	C₂²×C₁₃	semidirect
1034. #452	C₂²×C₁₃	semidirect
1035. #452	C₂²×C₁₃	semidirect
1036. #452	C₂²×C₁₃	semidirect
1037. #452	C₂²×C₁₃	semidirect
1038. #452	C₂²×C₁₃	semidirect
1039. #450	C₂²×C₁₃	semidirect
1040. #450	C₂²×C₁₃	semidirect
1041. #450	C₂²×C₁₃	semidirect
1043. #449	C₂²×C₁₃	semidirect
1044. #449	C₂²×C₁₃	semidirect
1045. #449	C₂²×C₁₃	semidirect
1046. #449	C₂²×C₁₃	semidirect
1047. #449	C₂²×C₁₃	semidirect
1048. #449	C₂²×C₁₃	semidirect
1049. #449	C₂²×C₁₃	semidirect
1050. #449	C₂²×C₁₃	semidirect
1051. #449	C₂²×C₁₃	semidirect
1052. #449	C₂²×C₁₃	semidirect
1053. #449	C₂²×C₁₃	semidirect
1054. #449	C₂²×C₁₃	semidirect
1055. #449	C₂²×C₁₃	semidirect
1056. #448	C₂²×C₁₃	semidirect
1057. #448	C₂²×C₁₃	semidirect
1058. #447	C₂²×C₁₃	semidirect
1059. #447	C₂²×C₁₃	semidirect
1060. #447	C₂²×C₁₃	semidirect
1061. #447	C₂²×C₁₃	semidirect
1062. #447	C₂²×C₁₃	semidirect
1063. #447	C₂²×C₁₃	semidirect
1064. #447	C₂²×C₁₃	semidirect
1065. #447	C₂²×C₁₃	semidirect
1066. #447	C₂²×C₁₃	semidirect
1067. #447	C₂²×C₁₃	semidirect
1068. #447	C₂²×C₁₃	semidirect
1069. #442	C₂²×C₁₃	semidirect
1070. #442	C₂²×C₁₃	semidirect
1071. #441	C₂²×C₁₃	semidirect
1072. #440	C₂²×C₁₃	semidirect
1073. C₄×SD₁₆	C₂²×C₁₃	semidirect
1074. C₄×SD₁₆	C₂²×C₁₃	semidirect
1075. C₄×SD₁₆	C₂²×C₁₃	semidirect
1076. C₄×D₈	C₂²×C₁₃	semidirect
1077. #436	C₂²×C₁₃	semidirect
1078. #436	C₂²×C₁₃	semidirect
1079. #436	C₂²×C₁₃	semidirect
1080. #436	C₂²×C₁₃	semidirect
1081. #435	C₂²×C₁₃	semidirect
1082. #435	C₂²×C₁₃	semidirect
1083. #435	C₂²×C₁₃	semidirect
1084. #435	C₂²×C₁₃	semidirect
1085. #433	C₂²×C₁₃	semidirect
1086. #433	C₂²×C₁₃	semidirect
1087. #419	C₂²×C₁₃	semidirect
1088. #418	C₂²×C₁₃	semidirect
1089. #418	C₂²×C₁₃	semidirect
1090. #417	C₂²×C₁₃	semidirect
1091. #417	C₂²×C₁₃	semidirect
1092. #417	C₂²×C₁₃	semidirect
1093. #416	C₂²×C₁₃	semidirect
1094. C₂×#102	C₂²×C₁₃	semidirect
1095. #408	C₂²×C₁₃	semidirect
1096. #408	C₂²×C₁₃	semidirect
1097. #407	C₂²×C₁₃	semidirect
1098. #407	C₂²×C₁₃	semidirect
1716. C₁₃	#61653	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×#3542	2
C₁₃×#3488	2
C₁₃×#3332	2
C₁₃×#3326	2
C₁₃×#3325	2
C₁₃×#3323	2
C₁₃×#3321	2
C₁₃×#3318	2
C₁₃×#3317	2
C₁₃×#3306	2
C₁₃×#3275	2
C₁₃×#3274	2
C₁₃×#3273	2
C₁₃×#3271	2
C₁₃×#3268	2
C₁₃×#3264	2
C₁₃×#3224	2
C₁₃×#3220	2
C₁₃×#3204	2
C₁₃×#3198	2
C₁₃×#3194	2
C₁₃×#3192	2
C₁₃×#3125	2
C₁₃×#3119	2
C₁₃×#3012	2
C₁₃×#3008	2
C₁₃×#3006	2
C₁₃×#3005	2
C₁₃×#2978	2
#61653	13

Subgroups — C13×#61653 #15747992

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₃×#61653 #15747992