Subgroups — C₁₃×#61640 #15747979

Order 3328.

2110 conjugacy classes of subgroups.

The subgroup lattice has 1902 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₁₃×#3541	C₂	1	1	yes	maximal, characteristic, complemented
2	C₁₃×#3488	C₂	1	1	yes	maximal, characteristic, complemented
3	C₁₃×#3318	C₂	1	1	yes	maximal, characteristic, complemented
4	C₁₃×#3317	C₂	1	1	yes	maximal, characteristic, complemented
5	C₁₃×#3316	C₂	1	1	yes	maximal, characteristic, complemented
6	C₁₃×#3311	C₂	1	1	yes	maximal, characteristic, complemented
7	C₁₃×#3304	C₂	1	1	yes	maximal, characteristic, complemented
8	C₁₃×#3301	C₂	1	1	yes	maximal, characteristic, complemented
9	C₁₃×#3296	C₂	1	1	yes	maximal, characteristic, complemented
10	C₁₃×#3295	C₂	1	1	yes	maximal, characteristic, complemented
11	C₁₃×#3285	C₂	1	1	yes	maximal, characteristic, complemented
12	C₁₃×#3284	C₂	1	1	yes	maximal, characteristic, complemented
13	C₁₃×#3282	C₂	1	1	yes	maximal, characteristic, complemented
14	D₄×C₁₃×SD₁₆	C₂	1	1	yes	maximal, characteristic, complemented
15	C₁₃×#3271	C₂	1	1	yes	maximal, characteristic, complemented
16	C₁₃×#3270	C₂	1	1	yes	maximal, characteristic, complemented
17	C₁₃×#3267	C₂	1	1	yes	maximal, characteristic, complemented
18	C₁₃×#3265	C₂	1	1	yes	maximal, characteristic, complemented
19	C₁₃×#3224	C₂	1	1	yes	maximal, characteristic, complemented
20	C₁₃×#3222	C₂	1	1	yes	maximal, characteristic, complemented
21	C₁₃×#3204	C₂	1	1	yes	maximal, characteristic, complemented
22	C₁₃×#3201	C₂	1	1	yes	maximal, characteristic, complemented
23	C₁₃×#3188	C₂	1	1	yes	maximal, characteristic, complemented
24	C₁₃×#3187	C₂	1	1	yes	maximal, characteristic, complemented
25	C₁₃×#3125	C₂	1	1	yes	maximal, characteristic, complemented
26	C₁₃×#3120	C₂	1	1	yes	maximal, characteristic, complemented
27	C₁₃×#3012	C₂	1	1	yes	maximal, characteristic, complemented
28	C₁₃×#3009	C₂	1	1	yes	maximal, characteristic, complemented
29	C₁₃×#3002	C₂	1	1	yes	maximal, characteristic, complemented
30	C₂×C₁₃×#452	C₂	1	1	yes	maximal, characteristic, complemented
31	C₁₃×#2977	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂×C₁₃×H(5,𝔽₂)	C₂²	1	1	yes	characteristic
33	C₂²×C₁₃×#41	C₂²	1	1	yes	characteristic
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×#135	C₂²	1	1	yes	characteristic, complemented
37	C₂×C₁₃×#135	C₂²	1	1	yes	characteristic, complemented
38	C₂×C₁₃×#135	C₂²	1	1	yes	characteristic, complemented
39	C₂²×C₁₃×Q₁₆	C₂²	1	1	yes	characteristic, complemented
40	C₂²×C₁₃×SD₁₆	C₂²	1	1	yes	characteristic, complemented
41	C₂²×C₁₃×SD₁₆	C₂²	1	1	yes	characteristic, complemented
42	C₁₃×#563	—	2	1	no	—
43	C₁₃×#562	—	2	1	no	—
44	C₁₃×#556	C₂²	1	1	yes	characteristic, complemented
45	C₁₃×#554	—	2	1	no	—
46	C₁₃×#554	C₂²	1	1	yes	characteristic, complemented
47	C₁₃×#553	—	2	1	no	—
48	C₁₃×#553	C₂²	1	1	yes	characteristic, complemented
49	C₁₃×#552	C₂²	1	1	yes	characteristic, complemented
50	C₁₃×#550	C₂²	1	1	yes	characteristic
51	C₁₃×#550	C₂²	1	1	yes	characteristic
52	D₄×Q₈×C₁₃	C₂²	1	1	yes	characteristic, complemented
53	C₁₃×#548	C₂²	1	1	yes	characteristic
54	C₁₃×#548	C₂²	1	1	yes	characteristic
55	C₁₃×#548	C₂²	1	1	yes	characteristic, complemented
56	C₁₃×#548	C₂²	1	1	yes	characteristic, complemented
57	C₁₃×#547	C₂²	1	1	yes	characteristic, complemented
58	C₁₃×#546	—	2	1	no	—
59	C₁₃×#546	—	2	1	no	—
60	C₁₃×#546	C₂²	1	1	yes	characteristic
61	C₁₃×#546	C₂²	1	1	yes	characteristic
62	D₄²×C₁₃	—	2	1	no	—
63	D₄²×C₁₃	—	2	1	no	—
64	D₄²×C₁₃	C₂²	1	1	yes	characteristic
65	D₄²×C₁₃	C₂²	1	1	yes	characteristic
66	C₁₃×#542	—	2	1	no	—
67	C₁₃×#542	C₂²	1	1	yes	characteristic, complemented
68	C₁₃×#541	C₂²	1	1	yes	characteristic, complemented
69	C₁₃×#539	—	2	1	no	—
70	C₁₃×#538	—	2	1	no	—
71	C₁₃×#538	—	2	1	no	—
72	C₁₃×#537	—	2	1	no	—
73	C₁₃×#537	C₂²	1	1	yes	characteristic
74	C₁₃×#537	C₂²	1	1	yes	characteristic, complemented
75	C₁₃×#536	C₂²	1	1	yes	characteristic, complemented
76	C₁₃×#535	—	2	1	no	—
77	C₁₃×#535	C₂²	1	1	yes	characteristic
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×C₂²⋊Q₈	C₂²	1	1	yes	characteristic, complemented
82	C₂×C₁₃×#121	—	2	1	no	—
83	C₂×C₁₃×#121	C₂²	1	1	yes	characteristic
84	C₁₃×#520	C₂²	1	1	yes	characteristic
85	C₁₃×#497	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×#492	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×#484	C₂²	1	1	yes	characteristic, complemented
95	C₁₃×#483	C₂²	1	1	yes	characteristic, complemented
96	C₁₃×#483	C₂²	1	1	yes	characteristic, complemented
97	C₁₃×#483	C₂²	1	1	yes	characteristic, complemented
98	C₁₃×#482	C₂²	1	1	yes	characteristic, complemented
99	C₁₃×#482	C₂²	1	1	yes	characteristic, complemented
100	C₁₃×#482	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×#481	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×#470	C₂²	1	1	yes	characteristic, complemented
111	C₁₃×#469	C₂²	1	1	yes	characteristic, complemented
112	C₁₃×#468	C₂²	1	1	yes	characteristic, complemented
113	C₁₃×#467	C₂²	1	1	yes	characteristic, complemented
114	C₁₃×#466	C₂²	1	1	yes	characteristic, complemented
115	C₁₃×#466	C₂²	1	1	yes	characteristic, complemented
116	C₁₃×#465	C₂²	1	1	yes	characteristic, complemented
117	C₁₃×#465	C₂²	1	1	yes	characteristic, complemented
118	C₁₃×#465	C₂²	1	1	yes	characteristic, complemented
119	C₁₃×#465	C₂²	1	1	yes	characteristic, complemented
120	C₁₃×#465	C₂²	1	1	yes	characteristic, complemented
121	C₁₃×#465	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×#464	C₂²	1	1	yes	characteristic, complemented
128	C₁₃×#464	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×#462	C₂²	1	1	yes	characteristic, complemented
132	C₁₃×#461	C₂²	1	1	yes	characteristic, complemented
133	C₁₃×#460	C₂²	1	1	yes	characteristic, complemented
134	C₁₃×#460	C₂²	1	1	yes	characteristic, complemented
135	C₁₃×#460	C₂²	1	1	yes	characteristic, complemented
136	C₁₃×#459	C₂²	1	1	yes	characteristic, complemented
137	C₁₃×#452	C₂²	1	1	yes	characteristic
138	C₁₃×#452	C₂²	1	1	yes	characteristic
139	C₁₃×#452	C₂²	1	1	yes	characteristic
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×#452	C₂²	1	1	yes	characteristic, complemented
144	C₁₃×#452	C₂²	1	1	yes	characteristic, complemented
145	C₁₃×#452	C₂²	1	1	yes	characteristic, complemented
146	C₁₃×#452	C₂²	1	1	yes	characteristic, complemented
147	C₁₃×#452	C₂²	1	1	yes	characteristic, complemented
148	C₁₃×#452	C₂²	1	1	yes	characteristic, complemented
149	C₁₃×#452	C₂²	1	1	yes	characteristic, complemented
150	C₁₃×#452	C₂²	1	1	yes	characteristic, complemented
151	C₁₃×#451	C₂²	1	1	yes	characteristic, complemented
152	C₁₃×#451	C₂²	1	1	yes	characteristic, complemented
153	C₁₃×#450	C₂²	1	1	yes	characteristic, complemented
154	C₁₃×#450	C₂²	1	1	yes	characteristic, complemented
155	C₁₃×#450	C₂²	1	1	yes	characteristic, complemented
156	C₁₃×#450	C₂²	1	1	yes	characteristic, complemented
157	C₁₃×#450	C₂²	1	1	yes	characteristic, complemented
158	C₁₃×#450	C₂²	1	1	yes	characteristic, complemented
159	C₁₃×#450	C₂²	1	1	yes	characteristic, complemented
160	C₁₃×#449	C₂²	1	1	yes	characteristic
161	C₁₃×#449	C₂²	1	1	yes	characteristic, complemented
162	C₁₃×#449	C₂²	1	1	yes	characteristic, complemented
163	C₁₃×#449	C₂²	1	1	yes	characteristic, complemented
164	C₁₃×#449	C₂²	1	1	yes	characteristic, complemented
165	C₁₃×#449	C₂²	1	1	yes	characteristic, complemented
166	C₁₃×#448	C₂²	1	1	yes	characteristic, complemented
167	C₁₃×#448	C₂²	1	1	yes	characteristic, complemented
168	C₁₃×#448	C₂²	1	1	yes	characteristic, complemented
169	C₁₃×#448	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×#441	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×Q₁₆	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×SD₁₆	C₂²	1	1	yes	characteristic, complemented
181	C₁₃×#435	C₂²	1	1	yes	characteristic, complemented
182	C₁₃×#435	C₂²	1	1	yes	characteristic, complemented
183	C₁₃×#435	C₂²	1	1	yes	characteristic, complemented
184	C₁₃×#435	C₂²	1	1	yes	characteristic, complemented
185	C₈×D₄×C₁₃	C₂²	1	1	yes	characteristic, complemented
186	C₈×D₄×C₁₃	C₂²	1	1	yes	characteristic, complemented
187	C₈×D₄×C₁₃	C₂²	1	1	yes	characteristic, complemented
188	C₈×D₄×C₁₃	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×#418	C₂²	1	1	yes	characteristic, complemented
192	C₁₃×#417	C₂²	1	1	yes	characteristic, complemented
193	C₁₃×#416	C₂²	1	1	yes	characteristic, complemented
194	C₁₃×#416	C₂²	1	1	yes	characteristic, complemented
195	C₁₃×#416	C₂²	1	1	yes	characteristic, complemented
196	C₂×C₁₃×#103	C₂²	1	1	yes	characteristic, complemented
197	C₂×C₁₃×#102	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	C₂×C₁₃×C₂²⋊C₈	C₂²	1	1	yes	characteristic, complemented
202	C₂×C₁₃×C₂²⋊C₈	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	—	4	2	no	—
209	C₂×C₁₃×#41	—	4	2	no	—
210	C₂×C₁₃×#41	C₂³	1	1	yes	characteristic
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	C₂²×Q₈×C₁₃	C₂³	1	1	yes	characteristic
220	C₂²×Q₈×C₁₃	C₂³	1	1	yes	characteristic
221	C₂²×Q₈×C₁₃	C₂³	1	1	yes	characteristic
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	C₂³	1	1	yes	characteristic
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	C₂³×C₄×C₁₃	—	2	1	no	—
234	C₂³×C₄×C₁₃	C₂³	1	1	yes	characteristic
235	C₁₃×#137	—	4	2	no	—
236	C₁₃×AGL(1,ℤ/8)	—	4	2	no	—
237	C₁₃×#135	—	4	2	no	—
238	C₁₃×#135	—	4	2	no	—
239	C₁₃×#135	—	4	2	no	—
240	C₂×C₁₃×Q₁₆	—	4	2	no	—
241	C₂×C₁₃×Q₁₆	C₂³	1	1	yes	characteristic
242	C₂×C₁₃×Q₁₆	C₂³	1	1	yes	characteristic
243	C₂×C₁₃×Q₁₆	C₂³	1	1	yes	characteristic
244	C₂×C₁₃×Q₁₆	C₂³	1	1	yes	characteristic
245	C₂×C₁₃×Q₁₆	C₂³	1	1	yes	characteristic
246	C₂×C₁₃×Q₁₆	C₂³	1	1	yes	characteristic
247	C₂×C₁₃×SD₁₆	—	4	2	no	—
248	C₂×C₁₃×SD₁₆	—	4	2	no	—
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×SD₁₆	C₂³	1	1	yes	characteristic
258	C₂×C₁₃×SD₁₆	C₂³	1	1	yes	characteristic
259	C₂×C₁₃×SD₁₆	C₂³	1	1	yes	characteristic
260	C₂×C₁₃×SD₁₆	C₂³	1	1	yes	characteristic
261	C₂×C₁₃×SD₁₆	C₂³	1	1	yes	characteristic
262	C₂×C₁₃×SD₁₆	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×M₁₆	C₂³	1	1	yes	characteristic
268	C₂×C₁₃×M₁₆	C₂³	1	1	yes	characteristic
269	C₂²×C₈×C₁₃	C₂³	1	1	yes	characteristic
270	C₂²×C₈×C₁₃	C₂³	1	1	yes	characteristic
271	C₂²×C₈×C₁₃	C₂³	1	1	yes	characteristic
272	C₂²×C₈×C₁₃	C₂³	1	1	yes	characteristic
273	C₂²×C₈×C₁₃	C₂³	1	1	yes	characteristic
274	C₂²×C₈×C₁₃	C₂³	1	1	yes	characteristic
275	C₁₃×C₄⋊Q₈	—	2	1	no	—
276	C₁₃×C₄⋊Q₈	—	2	1	no	—
277	C₁₃×C₄⋊Q₈	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	C₂³	1	1	yes	characteristic
282	C₁₃×#127	C₂³	1	1	yes	characteristic
283	C₁₃×#126	—	2	1	no	—
284	C₁₃×#126	—	2	1	no	—
285	C₁₃×#126	—	2	1	no	—
286	C₁₃×#126	—	2	1	no	—
287	C₁₃×#126	—	2	1	no	—
288	C₁₃×#126	—	2	1	no	—
289	C₁₃×#126	—	2	1	no	—
290	C₁₃×#125	—	2	1	no	—
291	C₁₃×#125	—	2	1	no	—
292	C₁₃×#125	—	2	1	no	—
293	C₁₃×#125	—	2	1	no	—
294	C₁₃×#125	C₂³	1	1	yes	characteristic
295	C₁₃×#124	—	2	1	no	—
296	C₁₃×#124	—	2	1	no	—
297	C₁₃×#124	—	2	1	no	—
298	C₁₃×#124	—	2	1	no	—
299	C₁₃×#124	—	2	1	no	—
300	C₁₃×#124	—	2	1	no	—
301	C₁₃×#124	—	2	1	no	—
302	C₁₃×#124	C₂³	1	1	yes	characteristic
303	C₁₃×#124	C₂³	1	1	yes	characteristic
304	C₁₃×#124	C₂³	1	1	yes	characteristic
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	—	2	1	no	—
313	C₁₃×#123	—	2	1	no	—
314	C₁₃×#123	—	2	1	no	—
315	C₁₃×#123	D₄	1	1	yes	characteristic
316	C₁₃×#123	D₄	1	1	yes	characteristic
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	—	2	1	no	—
321	C₁₃×C₂²⋊Q₈	—	2	1	no	—
322	C₁₃×C₂²⋊Q₈	—	2	1	no	—
323	C₁₃×C₂²⋊Q₈	—	2	1	no	—
324	C₁₃×C₂²⋊Q₈	—	2	1	no	—
325	C₁₃×C₂²⋊Q₈	—	2	1	no	—
326	C₁₃×C₂²⋊Q₈	—	2	1	no	—
327	C₁₃×C₂²⋊Q₈	—	2	1	no	—
328	C₁₃×C₂²⋊Q₈	—	2	1	no	—
329	C₁₃×C₂²⋊Q₈	—	2	1	no	—
330	C₁₃×C₂²⋊Q₈	D₄	1	1	yes	characteristic
331	C₁₃×C₂²⋊Q₈	D₄	1	1	yes	characteristic
332	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
333	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
334	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
335	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
336	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
337	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
338	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
339	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
340	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
341	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
342	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
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	—	2	1	no	—
359	C₁₃×#121	—	2	1	no	—
360	C₁₃×#121	—	2	1	no	—
361	C₁₃×#121	—	2	1	no	—
362	C₁₃×#121	—	2	1	no	—
363	C₁₃×#121	—	2	1	no	—
364	C₁₃×#121	—	2	1	no	—
365	C₁₃×#121	—	2	1	no	—
366	C₁₃×#121	—	2	1	no	—
367	C₁₃×#121	D₄	1	1	yes	characteristic
368	C₁₃×#121	D₄	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×#121	C₂³	1	1	yes	characteristic
376	C₁₃×#121	C₂³	1	1	yes	characteristic
377	C₁₃×#121	C₂³	1	1	yes	characteristic
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	D₄	1	1	yes	characteristic
388	C₁₃×#120	D₄	1	1	yes	characteristic
389	C₄×Q₈×C₁₃	—	2	1	no	—
390	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
391	C₄×Q₈×C₁₃	C₂³	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	—	2	1	no	—
406	C₄×D₄×C₁₃	—	2	1	no	—
407	C₄×D₄×C₁₃	—	2	1	no	—
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	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
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	—	2	1	no	—
422	C₂×C₁₃×C₄⋊C₄	—	2	1	no	—
423	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
424	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
425	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
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×#103	C₂³	1	1	yes	characteristic
453	C₁₃×#103	C₂³	1	1	yes	characteristic
454	C₁₃×#103	C₂³	1	1	yes	characteristic
455	C₁₃×#103	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	#61640	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	C₂×D₄	1	1	yes	characteristic
496	C₁₃×#41	—	2	2	no	—
497	C₁₃×#41	—	2	2	no	—
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	—	4	1	no	—
503	C₁₃×#41	—	4	1	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	4	no	—
511	C₁₃×#41	—	4	4	no	—
512	C₁₃×#41	—	4	1	no	—
513	C₁₃×#41	—	4	1	no	—
514	C₁₃×#41	—	4	1	no	—
515	C₁₃×#41	—	4	1	no	—
516	C₁₃×#41	—	4	4	no	—
517	C₂×Q₈×C₁₃	—	2	1	no	—
518	C₂×Q₈×C₁₃	—	2	1	no	—
519	C₂×Q₈×C₁₃	—	2	1	no	—
520	C₂×Q₈×C₁₃	—	2	1	no	—
521	C₂×Q₈×C₁₃	—	2	2	no	—
522	C₂×Q₈×C₁₃	—	4	1	no	—
523	C₂×Q₈×C₁₃	—	4	1	no	—
524	C₂×Q₈×C₁₃	—	4	1	no	—
525	C₂×Q₈×C₁₃	—	4	1	no	—
526	C₂×Q₈×C₁₃	—	4	1	no	—
527	C₂×Q₈×C₁₃	C₂×D₄	1	1	yes	characteristic
528	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
529	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
530	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
531	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
532	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
533	C₂×D₄×C₁₃	—	2	1	no	—
534	C₂×D₄×C₁₃	—	2	2	no	—
535	C₂×D₄×C₁₃	—	2	2	no	—
536	C₂×D₄×C₁₃	—	2	2	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	—	4	1	no	—
562	C₂×D₄×C₁₃	—	4	1	no	—
563	C₂×D₄×C₁₃	—	4	1	no	—
564	C₂×D₄×C₁₃	—	4	1	no	—
565	C₂×D₄×C₁₃	—	4	1	no	—
566	C₂×D₄×C₁₃	—	4	4	no	—
567	C₂×D₄×C₁₃	—	4	4	no	—
568	C₂×D₄×C₁₃	—	4	4	no	—
569	C₂×D₄×C₁₃	—	4	4	no	—
570	C₂×D₄×C₁₃	—	8	2	no	—
571	C₂×D₄×C₁₃	—	8	2	no	—
572	C₂×D₄×C₁₃	—	8	2	no	—
573	C₂×D₄×C₁₃	C₂×D₄	1	1	yes	characteristic
574	C₂×D₄×C₁₃	C₂×D₄	1	1	yes	characteristic
575	C₂×D₄×C₁₃	C₂×D₄	1	1	yes	characteristic
576	C₂×D₄×C₁₃	C₂×D₄	1	1	yes	characteristic
577	C₂×D₄×C₁₃	C₂×D₄	1	1	yes	characteristic
578	C₂×D₄×C₁₃	C₂×D₄	1	1	yes	characteristic
579	C₂×D₄×C₁₃	C₂×D₄	1	1	yes	characteristic
580	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
581	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
582	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
583	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
584	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
585	C₂²×C₄×C₁₃	—	2	1	no	—
586	C₂²×C₄×C₁₃	—	2	1	no	—
587	C₂²×C₄×C₁₃	—	2	1	no	—
588	C₂²×C₄×C₁₃	—	2	1	no	—
589	C₂²×C₄×C₁₃	—	2	1	no	—
590	C₂²×C₄×C₁₃	—	2	1	no	—
591	C₂²×C₄×C₁₃	—	2	1	no	—
592	C₂²×C₄×C₁₃	—	2	1	no	—
593	C₂²×C₄×C₁₃	—	2	1	no	—
594	C₂²×C₄×C₁₃	—	2	1	no	—
595	C₂²×C₄×C₁₃	—	2	1	no	—
596	C₂²×C₄×C₁₃	—	2	1	no	—
597	C₂²×C₄×C₁₃	—	2	1	no	—
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	—	4	1	no	—
603	C₂²×C₄×C₁₃	—	4	1	no	—
604	C₂²×C₄×C₁₃	—	4	4	no	—
605	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
606	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
607	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
608	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
609	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
610	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
611	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
612	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
613	C₁₃×Q₁₆	—	2	2	no	—
614	C₁₃×Q₁₆	—	2	2	no	—
615	C₁₃×Q₁₆	—	2	2	no	—
616	C₁₃×Q₁₆	—	4	1	no	—
617	C₁₃×Q₁₆	—	4	1	no	—
618	C₁₃×Q₁₆	—	4	1	no	—
619	C₁₃×SD₁₆	—	2	2	no	—
620	C₁₃×SD₁₆	—	2	2	no	—
621	C₁₃×SD₁₆	—	2	2	no	—
622	C₁₃×SD₁₆	—	2	2	no	—
623	C₁₃×SD₁₆	—	4	1	no	—
624	C₁₃×SD₁₆	—	4	1	no	—
625	C₁₃×SD₁₆	—	4	1	no	—
626	C₁₃×SD₁₆	—	4	1	no	—
627	C₁₃×SD₁₆	—	4	1	no	—
628	C₁₃×SD₁₆	—	4	1	no	—
629	C₁₃×SD₁₆	—	4	1	no	—
630	C₁₃×SD₁₆	—	4	1	no	—
631	C₁₃×SD₁₆	—	4	1	no	—
632	C₁₃×SD₁₆	—	4	1	no	—
633	C₁₃×D₈	—	2	2	no	—
634	C₁₃×D₈	—	4	1	no	—
635	C₁₃×D₈	—	4	1	no	—
636	C₁₃×D₈	—	4	1	no	—
637	C₁₃×M₁₆	—	4	1	no	—
638	C₁₃×M₁₆	—	4	1	no	—
639	C₂×C₈×C₁₃	—	4	1	no	—
640	C₂×C₈×C₁₃	—	4	1	no	—
641	C₂×C₈×C₁₃	—	4	1	no	—
642	C₂×C₈×C₁₃	—	4	1	no	—
643	C₂×C₈×C₁₃	—	4	1	no	—
644	C₂×C₈×C₁₃	—	4	1	no	—
645	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
646	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
647	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
648	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
649	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
650	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
651	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
652	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
653	C₁₃×C₄⋊C₄	—	2	1	no	—
654	C₁₃×C₄⋊C₄	—	2	1	no	—
655	C₁₃×C₄⋊C₄	—	2	1	no	—
656	C₁₃×C₄⋊C₄	—	2	1	no	—
657	C₁₃×C₄⋊C₄	—	2	1	no	—
658	C₁₃×C₄⋊C₄	—	2	1	no	—
659	C₁₃×C₄⋊C₄	—	2	1	no	—
660	C₁₃×C₄⋊C₄	—	2	1	no	—
661	C₁₃×C₄⋊C₄	—	2	1	no	—
662	C₁₃×C₄⋊C₄	—	2	1	no	—
663	C₁₃×C₄⋊C₄	—	2	1	no	—
664	C₁₃×C₄⋊C₄	—	2	1	no	—
665	C₁₃×C₄⋊C₄	—	2	1	no	—
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	C₂×D₄	1	1	yes	characteristic
678	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
679	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
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	C₂⁴	1	1	yes	characteristic
684	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
685	C₁₃×C₄⋊C₄	C₂⁴	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×C₂²⋊C₄	—	2	1	no	—
690	C₁₃×C₂²⋊C₄	—	2	1	no	—
691	C₁₃×C₂²⋊C₄	—	2	1	no	—
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	C₂×D₄	1	1	yes	characteristic
721	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
722	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
723	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
724	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
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	C₄²×C₁₃	—	2	1	no	—
731	C₄²×C₁₃	—	2	1	no	—
732	C₄²×C₁₃	—	2	1	no	—
733	C₄²×C₁₃	—	2	1	no	—
734	C₄²×C₁₃	—	2	1	no	—
735	C₄²×C₁₃	—	2	1	no	—
736	C₄²×C₁₃	—	2	1	no	—
737	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
738	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
739	#3541	C₂×C₁₃	1	1	yes	characteristic, complemented
740	#3488	C₂×C₁₃	1	1	yes	characteristic, complemented
741	#3318	C₂×C₁₃	1	1	yes	characteristic, complemented
742	#3317	C₂×C₁₃	1	1	yes	characteristic, complemented
743	#3316	C₂×C₁₃	1	1	yes	characteristic, complemented
744	#3311	C₂×C₁₃	1	1	yes	characteristic, complemented
745	#3304	C₂×C₁₃	1	1	yes	characteristic, complemented
746	#3301	C₂×C₁₃	1	1	yes	characteristic, complemented
747	#3296	C₂×C₁₃	1	1	yes	characteristic, complemented
748	#3295	C₂×C₁₃	1	1	yes	characteristic, complemented
749	#3285	C₂×C₁₃	1	1	yes	characteristic, complemented
750	#3284	C₂×C₁₃	1	1	yes	characteristic, complemented
751	#3282	C₂×C₁₃	1	1	yes	characteristic, complemented
752	D₄×SD₁₆	C₂×C₁₃	1	1	yes	characteristic, complemented
753	#3271	C₂×C₁₃	1	1	yes	characteristic, complemented
754	#3270	C₂×C₁₃	1	1	yes	characteristic, complemented
755	#3267	C₂×C₁₃	1	1	yes	characteristic, complemented
756	#3265	C₂×C₁₃	1	1	yes	characteristic, complemented
757	#3224	C₂×C₁₃	1	1	yes	characteristic, complemented
758	#3222	C₂×C₁₃	1	1	yes	characteristic, complemented
759	#3204	C₂×C₁₃	1	1	yes	characteristic, complemented
760	#3201	C₂×C₁₃	1	1	yes	characteristic, complemented
761	#3188	C₂×C₁₃	1	1	yes	characteristic, complemented
762	#3187	C₂×C₁₃	1	1	yes	characteristic, complemented
763	#3125	C₂×C₁₃	1	1	yes	characteristic, complemented
764	#3120	C₂×C₁₃	1	1	yes	characteristic, complemented
765	#3012	C₂×C₁₃	1	1	yes	characteristic, complemented
766	#3009	C₂×C₁₃	1	1	yes	characteristic, complemented
767	#3002	C₂×C₁₃	1	1	yes	characteristic, complemented
768	C₂×#452	C₂×C₁₃	1	1	yes	characteristic, complemented
769	#2977	C₂×C₁₃	1	1	yes	characteristic, complemented
770	C₂³×C₁₃	—	2	1	no	—
771	C₂³×C₁₃	—	2	2	no	—
772	C₂³×C₁₃	—	2	1	no	—
773	C₂³×C₁₃	—	2	1	no	—
774	C₂³×C₁₃	—	2	1	no	—
775	C₂³×C₁₃	—	2	1	no	—
776	C₂³×C₁₃	—	4	1	no	—
777	C₂³×C₁₃	—	4	1	no	—
778	C₂³×C₁₃	—	4	2	no	—
779	C₂³×C₁₃	—	4	2	no	—
780	C₂³×C₁₃	—	4	2	no	—
781	C₂³×C₁₃	—	4	2	no	—
782	C₂³×C₁₃	—	4	2	no	—
783	C₂³×C₁₃	—	8	1	no	—
784	C₂³×C₁₃	—	8	1	no	—
785	C₂³×C₁₃	—	8	1	no	—
786	C₂³×C₁₃	—	8	1	no	—
787	C₂³×C₁₃	—	8	1	no	—
788	C₂³×C₁₃	—	8	1	no	—
789	C₂³×C₁₃	—	8	1	no	—
790	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
791	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
792	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
793	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
794	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
795	Q₈×C₁₃	—	2	1	no	—
796	Q₈×C₁₃	—	2	1	no	—
797	Q₈×C₁₃	—	2	1	no	—
798	Q₈×C₁₃	—	2	1	no	—
799	Q₈×C₁₃	—	2	1	no	—
800	Q₈×C₁₃	—	2	1	no	—
801	Q₈×C₁₃	—	2	1	no	—
802	Q₈×C₁₃	—	2	1	no	—
803	Q₈×C₁₃	—	2	1	no	—
804	Q₈×C₁₃	—	4	1	no	—
805	Q₈×C₁₃	—	4	2	no	—
806	Q₈×C₁₃	—	8	1	no	—
807	Q₈×C₁₃	—	8	1	no	—
808	Q₈×C₁₃	—	8	1	no	—
809	Q₈×C₁₃	H(5,𝔽₂)	1	2	yes	—
810	D₄×C₁₃	—	2	4	no	—
811	D₄×C₁₃	—	2	2	no	—
812	D₄×C₁₃	—	2	2	no	—
813	D₄×C₁₃	—	2	1	no	—
814	D₄×C₁₃	—	2	1	no	—
815	D₄×C₁₃	—	2	1	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	—	4	1	no	—
823	D₄×C₁₃	—	4	1	no	—
824	D₄×C₁₃	—	4	1	no	—
825	D₄×C₁₃	—	4	1	no	—
826	D₄×C₁₃	—	4	1	no	—
827	D₄×C₁₃	—	4	2	no	—
828	D₄×C₁₃	—	4	2	no	—
829	D₄×C₁₃	—	4	2	no	—
830	D₄×C₁₃	—	4	2	no	—
831	D₄×C₁₃	—	4	2	no	—
832	D₄×C₁₃	—	4	2	no	—
833	D₄×C₁₃	—	4	2	no	—
834	D₄×C₁₃	—	4	2	no	—
835	D₄×C₁₃	—	4	2	no	—
836	D₄×C₁₃	—	4	2	no	—
837	D₄×C₁₃	—	4	2	no	—
838	D₄×C₁₃	—	4	2	no	—
839	D₄×C₁₃	—	8	1	no	—
840	D₄×C₁₃	—	8	1	no	—
841	D₄×C₁₃	—	8	1	no	—
842	D₄×C₁₃	—	8	1	no	—
843	D₄×C₁₃	—	8	1	no	—
844	D₄×C₁₃	—	8	1	no	—
845	D₄×C₁₃	—	8	1	no	—
846	D₄×C₁₃	—	8	1	no	—
847	D₄×C₁₃	—	8	1	no	—
848	D₄×C₁₃	—	8	1	no	—
849	D₄×C₁₃	—	8	1	no	—
850	D₄×C₁₃	—	8	1	no	—
851	D₄×C₁₃	H(5,𝔽₂)	1	2	yes	—
852	C₂×C₄×C₁₃	—	2	4	no	—
853	C₂×C₄×C₁₃	—	2	1	no	—
854	C₂×C₄×C₁₃	—	2	1	no	—
855	C₂×C₄×C₁₃	—	2	1	no	—
856	C₂×C₄×C₁₃	—	2	1	no	—
857	C₂×C₄×C₁₃	—	2	1	no	—
858	C₂×C₄×C₁₃	—	2	1	no	—
859	C₂×C₄×C₁₃	—	2	1	no	—
860	C₂×C₄×C₁₃	—	2	1	no	—
861	C₂×C₄×C₁₃	—	2	1	no	—
862	C₂×C₄×C₁₃	—	2	1	no	—
863	C₂×C₄×C₁₃	—	2	1	no	—
864	C₂×C₄×C₁₃	—	2	1	no	—
865	C₂×C₄×C₁₃	—	2	1	no	—
866	C₂×C₄×C₁₃	—	2	1	no	—
867	C₂×C₄×C₁₃	—	2	1	no	—
868	C₂×C₄×C₁₃	—	2	1	no	—
869	C₂×C₄×C₁₃	—	2	1	no	—
870	C₂×C₄×C₁₃	—	2	1	no	—
871	C₂×C₄×C₁₃	—	2	1	no	—
872	C₂×C₄×C₁₃	—	2	1	no	—
873	C₂×C₄×C₁₃	—	2	1	no	—
874	C₂×C₄×C₁₃	—	4	1	no	—
875	C₂×C₄×C₁₃	—	4	1	no	—
876	C₂×C₄×C₁₃	—	4	1	no	—
877	C₂×C₄×C₁₃	—	4	2	no	—
878	C₂×C₄×C₁₃	—	4	2	no	—
879	C₂×C₄×C₁₃	—	4	2	no	—
880	C₂×C₄×C₁₃	—	4	2	no	—
881	C₂×C₄×C₁₃	—	4	2	no	—
882	C₂×C₄×C₁₃	—	4	2	no	—
883	C₂×C₄×C₁₃	—	8	1	no	—
884	C₂×C₄×C₁₃	—	8	1	no	—
885	C₂×C₄×C₁₃	—	8	1	no	—
886	C₂×C₄×C₁₃	—	8	1	no	—
887	C₂×C₄×C₁₃	—	8	1	no	—
888	C₂×C₄×C₁₃	—	8	1	no	—
889	C₂×C₄×C₁₃	—	8	1	no	—
890	C₂×C₄×C₁₃	—	8	1	no	—
891	C₂×C₄×C₁₃	—	8	1	no	—
892	C₂×C₄×C₁₃	—	8	1	no	—
893	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
894	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
895	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
896	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
897	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
898	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
899	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
900	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
901	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
902	C₂×C₄×C₁₃	C₂⁵	1	1	yes	characteristic
903	C₈×C₁₃	—	2	1	no	—
904	C₈×C₁₃	—	2	1	no	—
905	C₈×C₁₃	—	2	1	no	—
906	C₈×C₁₃	—	2	1	no	—
907	C₈×C₁₃	—	2	1	no	—
908	C₈×C₁₃	—	2	1	no	—
909	C₈×C₁₃	—	2	1	no	—
910	C₈×C₁₃	—	2	1	no	—
911	C₂×H(5,𝔽₂)	C₂²×C₁₃	1	1	yes	characteristic
912	C₂²×#41	C₂²×C₁₃	1	1	yes	characteristic
913	C₂×#137	C₂²×C₁₃	1	1	yes	characteristic, complemented
914	C₂×AGL(1,ℤ/8)	C₂²×C₁₃	1	1	yes	characteristic, complemented
915	C₂×#135	C₂²×C₁₃	1	1	yes	characteristic, complemented
916	C₂×#135	C₂²×C₁₃	1	1	yes	characteristic, complemented
917	C₂×#135	C₂²×C₁₃	1	1	yes	characteristic, complemented
918	C₂²×Q₁₆	C₂²×C₁₃	1	1	yes	characteristic, complemented
919	C₂²×SD₁₆	C₂²×C₁₃	1	1	yes	characteristic, complemented
920	C₂²×SD₁₆	C₂²×C₁₃	1	1	yes	characteristic, complemented
921	#563	—	2	1	no	—
922	#562	—	2	1	no	—
923	#556	C₂²×C₁₃	1	1	yes	characteristic, complemented
924	#554	—	2	1	no	—
925	#554	C₂²×C₁₃	1	1	yes	characteristic, complemented
926	#553	—	2	1	no	—
927	#553	C₂²×C₁₃	1	1	yes	characteristic, complemented
928	#552	C₂²×C₁₃	1	1	yes	characteristic, complemented
929	#550	C₂²×C₁₃	1	1	yes	characteristic
930	#550	C₂²×C₁₃	1	1	yes	characteristic
931	D₄×Q₈	C₂²×C₁₃	1	1	yes	characteristic, complemented
932	#548	C₂²×C₁₃	1	1	yes	characteristic
933	#548	C₂²×C₁₃	1	1	yes	characteristic
934	#548	C₂²×C₁₃	1	1	yes	characteristic, complemented
935	#548	C₂²×C₁₃	1	1	yes	characteristic, complemented
936	#547	C₂²×C₁₃	1	1	yes	characteristic, complemented
937	#546	—	2	1	no	—
938	#546	—	2	1	no	—
939	#546	C₂²×C₁₃	1	1	yes	characteristic
940	#546	C₂²×C₁₃	1	1	yes	characteristic
941	D₄²	—	2	1	no	—
942	D₄²	—	2	1	no	—
943	D₄²	C₂²×C₁₃	1	1	yes	characteristic
944	D₄²	C₂²×C₁₃	1	1	yes	characteristic
945	#542	—	2	1	no	—
946	#542	C₂²×C₁₃	1	1	yes	characteristic, complemented
947	#541	C₂²×C₁₃	1	1	yes	characteristic, complemented
948	#539	—	2	1	no	—
949	#538	—	2	1	no	—
950	#538	—	2	1	no	—
951	#537	—	2	1	no	—
952	#537	C₂²×C₁₃	1	1	yes	characteristic
953	#537	C₂²×C₁₃	1	1	yes	characteristic, complemented
954	#536	C₂²×C₁₃	1	1	yes	characteristic, complemented
955	#535	—	2	1	no	—
956	#535	C₂²×C₁₃	1	1	yes	characteristic
957	#525	—	2	1	no	—
958	#525	C₂²×C₁₃	1	1	yes	characteristic
959	#525	C₂²×C₁₃	1	1	yes	characteristic, complemented
960	C₂×C₂²⋊Q₈	C₂²×C₁₃	1	1	yes	characteristic, complemented
961	C₂×#121	—	2	1	no	—
962	C₂×#121	C₂²×C₁₃	1	1	yes	characteristic
963	#520	C₂²×C₁₃	1	1	yes	characteristic
964	#497	C₂²×C₁₃	1	1	yes	characteristic, complemented
965	#496	C₂²×C₁₃	1	1	yes	characteristic, complemented
966	#495	C₂²×C₁₃	1	1	yes	characteristic, complemented
967	#492	C₂²×C₁₃	1	1	yes	characteristic, complemented
968	#490	C₂²×C₁₃	1	1	yes	characteristic, complemented
969	#489	C₂²×C₁₃	1	1	yes	characteristic, complemented
970	#488	C₂²×C₁₃	1	1	yes	characteristic, complemented
971	#486	C₂²×C₁₃	1	1	yes	characteristic, complemented
972	#485	C₂²×C₁₃	1	1	yes	characteristic, complemented
973	#484	C₂²×C₁₃	1	1	yes	characteristic, complemented
974	#483	C₂²×C₁₃	1	1	yes	characteristic, complemented
975	#483	C₂²×C₁₃	1	1	yes	characteristic, complemented
976	#483	C₂²×C₁₃	1	1	yes	characteristic, complemented
977	#482	C₂²×C₁₃	1	1	yes	characteristic, complemented
978	#482	C₂²×C₁₃	1	1	yes	characteristic, complemented
979	#482	C₂²×C₁₃	1	1	yes	characteristic, complemented
980	#481	C₂²×C₁₃	1	1	yes	characteristic, complemented
981	#481	C₂²×C₁₃	1	1	yes	characteristic, complemented
982	#481	C₂²×C₁₃	1	1	yes	characteristic, complemented
983	#481	C₂²×C₁₃	1	1	yes	characteristic, complemented
984	#479	C₂²×C₁₃	1	1	yes	characteristic, complemented
985	#478	C₂²×C₁₃	1	1	yes	characteristic, complemented
986	#476	C₂²×C₁₃	1	1	yes	characteristic, complemented
987	#475	C₂²×C₁₃	1	1	yes	characteristic, complemented
988	#470	C₂²×C₁₃	1	1	yes	characteristic, complemented
989	#470	C₂²×C₁₃	1	1	yes	characteristic, complemented
990	#469	C₂²×C₁₃	1	1	yes	characteristic, complemented
991	#468	C₂²×C₁₃	1	1	yes	characteristic, complemented
992	#467	C₂²×C₁₃	1	1	yes	characteristic, complemented
993	#466	C₂²×C₁₃	1	1	yes	characteristic, complemented
994	#466	C₂²×C₁₃	1	1	yes	characteristic, complemented
995	#465	C₂²×C₁₃	1	1	yes	characteristic, complemented
996	#465	C₂²×C₁₃	1	1	yes	characteristic, complemented
997	#465	C₂²×C₁₃	1	1	yes	characteristic, complemented
998	#465	C₂²×C₁₃	1	1	yes	characteristic, complemented
999	#465	C₂²×C₁₃	1	1	yes	characteristic, complemented
1000	#465	C₂²×C₁₃	1	1	yes	characteristic, complemented
1001	#465	C₂²×C₁₃	1	1	yes	characteristic, complemented
1002	#465	C₂²×C₁₃	1	1	yes	characteristic, complemented
1003	#465	C₂²×C₁₃	1	1	yes	characteristic, complemented
1004	#464	C₂²×C₁₃	1	1	yes	characteristic, complemented
1005	#464	C₂²×C₁₃	1	1	yes	characteristic, complemented
1006	#464	C₂²×C₁₃	1	1	yes	characteristic, complemented
1007	#464	C₂²×C₁₃	1	1	yes	characteristic, complemented
1008	#463	C₂²×C₁₃	1	1	yes	characteristic, complemented
1009	#463	C₂²×C₁₃	1	1	yes	characteristic, complemented
1010	#462	C₂²×C₁₃	1	1	yes	characteristic, complemented
1011	#461	C₂²×C₁₃	1	1	yes	characteristic, complemented
1012	#460	C₂²×C₁₃	1	1	yes	characteristic, complemented
1013	#460	C₂²×C₁₃	1	1	yes	characteristic, complemented
1014	#460	C₂²×C₁₃	1	1	yes	characteristic, complemented
1015	#459	C₂²×C₁₃	1	1	yes	characteristic, complemented
1016	#452	C₂²×C₁₃	1	1	yes	characteristic
1017	#452	C₂²×C₁₃	1	1	yes	characteristic
1018	#452	C₂²×C₁₃	1	1	yes	characteristic
1019	#452	C₂²×C₁₃	1	1	yes	characteristic, complemented
1020	#452	C₂²×C₁₃	1	1	yes	characteristic, complemented
1021	#452	C₂²×C₁₃	1	1	yes	characteristic, complemented
1022	#452	C₂²×C₁₃	1	1	yes	characteristic, complemented
1023	#452	C₂²×C₁₃	1	1	yes	characteristic, complemented
1024	#452	C₂²×C₁₃	1	1	yes	characteristic, complemented
1025	#452	C₂²×C₁₃	1	1	yes	characteristic, complemented
1026	#452	C₂²×C₁₃	1	1	yes	characteristic, complemented
1027	#452	C₂²×C₁₃	1	1	yes	characteristic, complemented
1028	#452	C₂²×C₁₃	1	1	yes	characteristic, complemented
1029	#452	C₂²×C₁₃	1	1	yes	characteristic, complemented
1030	#451	C₂²×C₁₃	1	1	yes	characteristic, complemented
1031	#451	C₂²×C₁₃	1	1	yes	characteristic, complemented
1032	#450	C₂²×C₁₃	1	1	yes	characteristic, complemented
1033	#450	C₂²×C₁₃	1	1	yes	characteristic, complemented
1034	#450	C₂²×C₁₃	1	1	yes	characteristic, complemented
1035	#450	C₂²×C₁₃	1	1	yes	characteristic, complemented
1036	#450	C₂²×C₁₃	1	1	yes	characteristic, complemented
1037	#450	C₂²×C₁₃	1	1	yes	characteristic, complemented
1038	#450	C₂²×C₁₃	1	1	yes	characteristic, complemented
1039	#449	C₂²×C₁₃	1	1	yes	characteristic
1040	#449	C₂²×C₁₃	1	1	yes	characteristic, complemented
1041	#449	C₂²×C₁₃	1	1	yes	characteristic, complemented
1042	#449	C₂²×C₁₃	1	1	yes	characteristic, complemented
1043	#449	C₂²×C₁₃	1	1	yes	characteristic, complemented
1044	#449	C₂²×C₁₃	1	1	yes	characteristic, complemented
1045	#448	C₂²×C₁₃	1	1	yes	characteristic, complemented
1046	#448	C₂²×C₁₃	1	1	yes	characteristic, complemented
1047	#448	C₂²×C₁₃	1	1	yes	characteristic, complemented
1048	#448	C₂²×C₁₃	1	1	yes	characteristic, complemented
1049	#447	C₂²×C₁₃	1	1	yes	characteristic, complemented
1050	#447	C₂²×C₁₃	1	1	yes	characteristic, complemented
1051	#447	C₂²×C₁₃	1	1	yes	characteristic, complemented
1052	#442	C₂²×C₁₃	1	1	yes	characteristic, complemented
1053	#441	C₂²×C₁₃	1	1	yes	characteristic, complemented
1054	#441	C₂²×C₁₃	1	1	yes	characteristic, complemented
1055	#440	C₂²×C₁₃	1	1	yes	characteristic, complemented
1056	C₄×Q₁₆	C₂²×C₁₃	1	1	yes	characteristic, complemented
1057	C₄×SD₁₆	C₂²×C₁₃	1	1	yes	characteristic, complemented
1058	C₄×SD₁₆	C₂²×C₁₃	1	1	yes	characteristic, complemented
1059	C₄×SD₁₆	C₂²×C₁₃	1	1	yes	characteristic, complemented
1060	#435	C₂²×C₁₃	1	1	yes	characteristic, complemented
1061	#435	C₂²×C₁₃	1	1	yes	characteristic, complemented
1062	#435	C₂²×C₁₃	1	1	yes	characteristic, complemented
1063	#435	C₂²×C₁₃	1	1	yes	characteristic, complemented
1064	C₈×D₄	C₂²×C₁₃	1	1	yes	characteristic, complemented
1065	C₈×D₄	C₂²×C₁₃	1	1	yes	characteristic, complemented
1066	C₈×D₄	C₂²×C₁₃	1	1	yes	characteristic, complemented
1067	C₈×D₄	C₂²×C₁₃	1	1	yes	characteristic, complemented
1068	#433	C₂²×C₁₃	1	1	yes	characteristic, complemented
1069	#433	C₂²×C₁₃	1	1	yes	characteristic, complemented
1070	#418	C₂²×C₁₃	1	1	yes	characteristic, complemented
1071	#417	C₂²×C₁₃	1	1	yes	characteristic, complemented
1072	#416	C₂²×C₁₃	1	1	yes	characteristic, complemented
1073	#416	C₂²×C₁₃	1	1	yes	characteristic, complemented
1074	#416	C₂²×C₁₃	1	1	yes	characteristic, complemented
1075	C₂×#103	C₂²×C₁₃	1	1	yes	characteristic, complemented
1076	C₂×#102	C₂²×C₁₃	1	1	yes	characteristic, complemented
1077	C₂×#102	C₂²×C₁₃	1	1	yes	characteristic, complemented
1078	#408	C₂²×C₁₃	1	1	yes	characteristic, complemented
1079	#408	C₂²×C₁₃	1	1	yes	characteristic, complemented
1080	C₂×C₂²⋊C₈	C₂²×C₁₃	1	1	yes	characteristic, complemented
1081	C₂×C₂²⋊C₈	C₂²×C₁₃	1	1	yes	characteristic, complemented
1082	C₂²×C₁₃	—	2	1	no	—
1083	C₂²×C₁₃	—	2	1	no	—
1084	C₂²×C₁₃	—	2	1	no	—
1085	C₂²×C₁₃	—	2	1	no	—
1086	C₂²×C₁₃	—	2	1	no	—
1087	C₂²×C₁₃	—	2	1	no	—
1088	C₂²×C₁₃	—	2	1	no	—
1089	C₂²×C₁₃	—	2	2	no	—
1090	C₂²×C₁₃	—	2	1	no	—
1091	C₂²×C₁₃	—	2	1	no	—
1092	C₂²×C₁₃	—	2	1	no	—
1093	C₂²×C₁₃	—	2	1	no	—
1094	C₂²×C₁₃	—	2	1	no	—
1095	C₂²×C₁₃	—	2	1	no	—
1096	C₂²×C₁₃	—	2	1	no	—
1097	C₂²×C₁₃	—	4	1	no	—
1098	C₂²×C₁₃	—	4	1	no	—
1099	C₂²×C₁₃	—	4	1	no	—
1100	C₂²×C₁₃	—	4	1	no	—
1101	C₂²×C₁₃	—	4	1	no	—
1102	C₂²×C₁₃	—	4	1	no	—
1103	C₂²×C₁₃	—	4	1	no	—
1104	C₂²×C₁₃	—	4	1	no	—
1105	C₂²×C₁₃	—	4	1	no	—
1106	C₂²×C₁₃	—	4	1	no	—
1107	C₂²×C₁₃	—	4	1	no	—
1108	C₂²×C₁₃	—	4	1	no	—
1109	C₂²×C₁₃	—	4	1	no	—
1110	C₂²×C₁₃	—	4	1	no	—
1111	C₂²×C₁₃	—	8	2	no	—
1112	C₂²×C₁₃	—	8	4	no	—
1113	C₂²×C₁₃	—	16	2	no	—
1114	C₂²×C₁₃	—	16	2	no	—
1115	C₂²×C₁₃	—	16	2	no	—
1116	C₂²×C₁₃	#577	1	2	yes	—
1117	C₂²×C₁₃	C₂³×D₄	1	1	yes	characteristic
1118	C₄×C₁₃	—	2	1	no	—
1119	C₄×C₁₃	—	2	1	no	—
1120	C₄×C₁₃	—	2	1	no	—
1121	C₄×C₁₃	—	2	2	no	—
1122	C₄×C₁₃	—	2	1	no	—
1123	C₄×C₁₃	—	2	1	no	—
1124	C₄×C₁₃	—	2	1	no	—
1125	C₄×C₁₃	—	2	1	no	—
1126	C₄×C₁₃	—	2	1	no	—
1127	C₄×C₁₃	—	2	1	no	—
1128	C₄×C₁₃	—	4	1	no	—
1129	C₄×C₁₃	—	4	1	no	—
1130	C₄×C₁₃	—	4	1	no	—
1131	C₄×C₁₃	—	4	1	no	—
1132	C₄×C₁₃	—	4	1	no	—
1133	C₄×C₁₃	—	4	1	no	—
1134	C₄×C₁₃	—	4	1	no	—
1135	C₄×C₁₃	—	4	1	no	—
1136	C₄×C₁₃	—	4	1	no	—
1137	C₄×C₁₃	—	4	1	no	—
1138	C₄×C₁₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1139	C₄×C₁₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1140	H(5,𝔽₂)	—	4	2	no	—
1141	H(5,𝔽₂)	—	4	2	no	—
1142	C₂×#41	—	2	1	no	—
1143	C₂×#41	—	2	1	no	—
1144	C₂×#41	—	2	1	no	—
1145	C₂×#41	—	4	2	no	—
1146	C₂×#41	—	4	2	no	—
1147	C₂×#41	C₂³×C₁₃	1	1	yes	characteristic
1148	C₂×#41	C₂³×C₁₃	1	1	yes	characteristic
1149	C₂×#41	C₂³×C₁₃	1	1	yes	characteristic
1150	C₂×#41	C₂³×C₁₃	1	1	yes	characteristic
1151	C₂×#41	C₂³×C₁₃	1	1	yes	characteristic
1152	C₂×#41	C₂³×C₁₃	1	1	yes	characteristic
1153	C₂×#41	C₂³×C₁₃	1	1	yes	characteristic
1154	C₂×#41	C₂³×C₁₃	1	1	yes	characteristic
1155	C₂×#41	C₂³×C₁₃	1	1	yes	characteristic
1156	C₂²×Q₈	C₂³×C₁₃	1	1	yes	characteristic
1157	C₂²×Q₈	C₂³×C₁₃	1	1	yes	characteristic
1158	C₂²×Q₈	C₂³×C₁₃	1	1	yes	characteristic
1159	C₂²×D₄	—	2	1	no	—
1160	C₂²×D₄	—	2	1	no	—
1161	C₂²×D₄	—	2	1	no	—
1162	C₂²×D₄	—	2	1	no	—
1163	C₂²×D₄	—	2	1	no	—
1164	C₂²×D₄	—	2	1	no	—
1165	C₂²×D₄	—	2	1	no	—
1166	C₂²×D₄	C₂³×C₁₃	1	1	yes	characteristic
1167	C₂²×D₄	C₂³×C₁₃	1	1	yes	characteristic
1168	C₂²×D₄	C₂³×C₁₃	1	1	yes	characteristic
1169	C₂²×D₄	C₂³×C₁₃	1	1	yes	characteristic
1170	C₂³×C₄	—	2	1	no	—
1171	C₂³×C₄	C₂³×C₁₃	1	1	yes	characteristic
1172	#137	—	4	2	no	—
1173	AGL(1,ℤ/8)	—	4	2	no	—
1174	#135	—	4	2	no	—
1175	#135	—	4	2	no	—
1176	#135	—	4	2	no	—
1177	C₂×Q₁₆	—	4	2	no	—
1178	C₂×Q₁₆	C₂³×C₁₃	1	1	yes	characteristic
1179	C₂×Q₁₆	C₂³×C₁₃	1	1	yes	characteristic
1180	C₂×Q₁₆	C₂³×C₁₃	1	1	yes	characteristic
1181	C₂×Q₁₆	C₂³×C₁₃	1	1	yes	characteristic
1182	C₂×Q₁₆	C₂³×C₁₃	1	1	yes	characteristic
1183	C₂×Q₁₆	C₂³×C₁₃	1	1	yes	characteristic
1184	C₂×SD₁₆	—	4	2	no	—
1185	C₂×SD₁₆	—	4	2	no	—
1186	C₂×SD₁₆	C₂³×C₁₃	1	1	yes	characteristic
1187	C₂×SD₁₆	C₂³×C₁₃	1	1	yes	characteristic
1188	C₂×SD₁₆	C₂³×C₁₃	1	1	yes	characteristic
1189	C₂×SD₁₆	C₂³×C₁₃	1	1	yes	characteristic
1190	C₂×SD₁₆	C₂³×C₁₃	1	1	yes	characteristic
1191	C₂×SD₁₆	C₂³×C₁₃	1	1	yes	characteristic
1192	C₂×SD₁₆	C₂³×C₁₃	1	1	yes	characteristic
1193	C₂×SD₁₆	C₂³×C₁₃	1	1	yes	characteristic
1194	C₂×SD₁₆	C₂³×C₁₃	1	1	yes	characteristic
1195	C₂×SD₁₆	C₂³×C₁₃	1	1	yes	characteristic
1196	C₂×SD₁₆	C₂³×C₁₃	1	1	yes	characteristic
1197	C₂×SD₁₆	C₂³×C₁₃	1	1	yes	characteristic
1198	C₂×SD₁₆	C₂³×C₁₃	1	1	yes	characteristic
1199	C₂×SD₁₆	C₂³×C₁₃	1	1	yes	characteristic
1200	C₂×D₈	C₂³×C₁₃	1	1	yes	characteristic
1201	C₂×D₈	C₂³×C₁₃	1	1	yes	characteristic
1202	C₂×D₈	C₂³×C₁₃	1	1	yes	characteristic
1203	C₂×D₈	C₂³×C₁₃	1	1	yes	characteristic
1204	C₂×M₁₆	C₂³×C₁₃	1	1	yes	characteristic
1205	C₂×M₁₆	C₂³×C₁₃	1	1	yes	characteristic
1206	C₂²×C₈	C₂³×C₁₃	1	1	yes	characteristic
1207	C₂²×C₈	C₂³×C₁₃	1	1	yes	characteristic
1208	C₂²×C₈	C₂³×C₁₃	1	1	yes	characteristic
1209	C₂²×C₈	C₂³×C₁₃	1	1	yes	characteristic
1210	C₂²×C₈	C₂³×C₁₃	1	1	yes	characteristic
1211	C₂²×C₈	C₂³×C₁₃	1	1	yes	characteristic
1212	C₄⋊Q₈	—	2	1	no	—
1213	C₄⋊Q₈	—	2	1	no	—
1214	C₄⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
1215	C₄⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
1216	#127	—	2	1	no	—
1217	#127	—	2	1	no	—
1218	#127	C₂³×C₁₃	1	1	yes	characteristic
1219	#127	C₂³×C₁₃	1	1	yes	characteristic
1220	#126	—	2	1	no	—
1221	#126	—	2	1	no	—
1222	#126	—	2	1	no	—
1223	#126	—	2	1	no	—
1224	#126	—	2	1	no	—
1225	#126	—	2	1	no	—
1226	#126	—	2	1	no	—
1227	#125	—	2	1	no	—
1228	#125	—	2	1	no	—
1229	#125	—	2	1	no	—
1230	#125	—	2	1	no	—
1231	#125	C₂³×C₁₃	1	1	yes	characteristic
1232	#124	—	2	1	no	—
1233	#124	—	2	1	no	—
1234	#124	—	2	1	no	—
1235	#124	—	2	1	no	—
1236	#124	—	2	1	no	—
1237	#124	—	2	1	no	—
1238	#124	—	2	1	no	—
1239	#124	C₂³×C₁₃	1	1	yes	characteristic
1240	#124	C₂³×C₁₃	1	1	yes	characteristic
1241	#124	C₂³×C₁₃	1	1	yes	characteristic
1242	#123	—	2	1	no	—
1243	#123	—	2	1	no	—
1244	#123	—	2	1	no	—
1245	#123	—	2	1	no	—
1246	#123	—	2	1	no	—
1247	#123	—	2	1	no	—
1248	#123	—	2	1	no	—
1249	#123	—	2	1	no	—
1250	#123	—	2	1	no	—
1251	#123	—	2	1	no	—
1252	#123	D₄×C₁₃	1	1	yes	characteristic
1253	#123	D₄×C₁₃	1	1	yes	characteristic
1254	C₂²⋊Q₈	—	2	1	no	—
1255	C₂²⋊Q₈	—	2	1	no	—
1256	C₂²⋊Q₈	—	2	1	no	—
1257	C₂²⋊Q₈	—	2	1	no	—
1258	C₂²⋊Q₈	—	2	1	no	—
1259	C₂²⋊Q₈	—	2	1	no	—
1260	C₂²⋊Q₈	—	2	1	no	—
1261	C₂²⋊Q₈	—	2	1	no	—
1262	C₂²⋊Q₈	—	2	1	no	—
1263	C₂²⋊Q₈	—	2	1	no	—
1264	C₂²⋊Q₈	—	2	1	no	—
1265	C₂²⋊Q₈	—	2	1	no	—
1266	C₂²⋊Q₈	—	2	1	no	—
1267	C₂²⋊Q₈	D₄×C₁₃	1	1	yes	characteristic
1268	C₂²⋊Q₈	D₄×C₁₃	1	1	yes	characteristic
1269	C₂²⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
1270	C₂²⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
1271	C₂²⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
1272	C₂²⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
1273	C₂²⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
1274	C₂²⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
1275	C₂²⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
1276	C₂²⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
1277	C₂²⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
1278	C₂²⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
1279	C₂²⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
1280	#121	—	2	1	no	—
1281	#121	—	2	1	no	—
1282	#121	—	2	1	no	—
1283	#121	—	2	1	no	—
1284	#121	—	2	1	no	—
1285	#121	—	2	1	no	—
1286	#121	—	2	1	no	—
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	D₄×C₁₃	1	1	yes	characteristic
1305	#121	D₄×C₁₃	1	1	yes	characteristic
1306	#121	C₂³×C₁₃	1	1	yes	characteristic
1307	#121	C₂³×C₁₃	1	1	yes	characteristic
1308	#121	C₂³×C₁₃	1	1	yes	characteristic
1309	#121	C₂³×C₁₃	1	1	yes	characteristic
1310	#121	C₂³×C₁₃	1	1	yes	characteristic
1311	#121	C₂³×C₁₃	1	1	yes	characteristic
1312	#121	C₂³×C₁₃	1	1	yes	characteristic
1313	#121	C₂³×C₁₃	1	1	yes	characteristic
1314	#121	C₂³×C₁₃	1	1	yes	characteristic
1315	#120	—	2	1	no	—
1316	#120	—	2	1	no	—
1317	#120	—	2	1	no	—
1318	#120	—	2	1	no	—
1319	#120	—	2	1	no	—
1320	#120	—	2	1	no	—
1321	#120	—	2	1	no	—
1322	#120	—	2	1	no	—
1323	#120	—	2	1	no	—
1324	#120	D₄×C₁₃	1	1	yes	characteristic
1325	#120	D₄×C₁₃	1	1	yes	characteristic
1326	C₄×Q₈	—	2	1	no	—
1327	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
1328	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
1329	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
1330	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
1331	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
1332	C₄×D₄	—	2	1	no	—
1333	C₄×D₄	—	2	1	no	—
1334	C₄×D₄	—	2	1	no	—
1335	C₄×D₄	—	2	1	no	—
1336	C₄×D₄	—	2	1	no	—
1337	C₄×D₄	—	2	1	no	—
1338	C₄×D₄	—	2	1	no	—
1339	C₄×D₄	—	2	1	no	—
1340	C₄×D₄	—	2	1	no	—
1341	C₄×D₄	—	2	1	no	—
1342	C₄×D₄	—	2	1	no	—
1343	C₄×D₄	—	2	1	no	—
1344	C₄×D₄	—	2	1	no	—
1345	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
1346	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
1347	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
1348	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
1349	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
1350	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
1351	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
1352	#117	—	2	1	no	—
1353	#117	—	2	1	no	—
1354	#117	C₂³×C₁₃	1	1	yes	characteristic
1355	#117	C₂³×C₁₃	1	1	yes	characteristic
1356	#117	C₂³×C₁₃	1	1	yes	characteristic
1357	C₂×C₄⋊C₄	—	2	1	no	—
1358	C₂×C₄⋊C₄	—	2	1	no	—
1359	C₂×C₄⋊C₄	—	2	1	no	—
1360	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1361	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1362	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1363	C₂×C₂²⋊C₄	—	2	1	no	—
1364	C₂×C₂²⋊C₄	—	2	1	no	—
1365	C₂×C₂²⋊C₄	—	2	1	no	—
1366	C₂×C₂²⋊C₄	—	2	1	no	—
1367	#107	C₂³×C₁₃	1	1	yes	characteristic
1368	#107	C₂³×C₁₃	1	1	yes	characteristic
1369	#106	C₂³×C₁₃	1	1	yes	characteristic
1370	#106	C₂³×C₁₃	1	1	yes	characteristic
1371	#106	C₂³×C₁₃	1	1	yes	characteristic
1372	#106	C₂³×C₁₃	1	1	yes	characteristic
1373	#106	C₂³×C₁₃	1	1	yes	characteristic
1374	#106	C₂³×C₁₃	1	1	yes	characteristic
1375	C₄⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
1376	C₄⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
1377	C₄⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
1378	C₄⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
1379	#103	C₂³×C₁₃	1	1	yes	characteristic
1380	#103	C₂³×C₁₃	1	1	yes	characteristic
1381	#103	C₂³×C₁₃	1	1	yes	characteristic
1382	#103	C₂³×C₁₃	1	1	yes	characteristic
1383	#103	C₂³×C₁₃	1	1	yes	characteristic
1384	#103	C₂³×C₁₃	1	1	yes	characteristic
1385	#103	C₂³×C₁₃	1	1	yes	characteristic
1386	#103	C₂³×C₁₃	1	1	yes	characteristic
1387	#103	C₂³×C₁₃	1	1	yes	characteristic
1388	#103	C₂³×C₁₃	1	1	yes	characteristic
1389	#103	C₂³×C₁₃	1	1	yes	characteristic
1390	#103	C₂³×C₁₃	1	1	yes	characteristic
1391	#103	C₂³×C₁₃	1	1	yes	characteristic
1392	#103	C₂³×C₁₃	1	1	yes	characteristic
1393	#102	C₂³×C₁₃	1	1	yes	characteristic
1394	#102	C₂³×C₁₃	1	1	yes	characteristic
1395	#102	C₂³×C₁₃	1	1	yes	characteristic
1396	#102	C₂³×C₁₃	1	1	yes	characteristic
1397	#102	C₂³×C₁₃	1	1	yes	characteristic
1398	#102	C₂³×C₁₃	1	1	yes	characteristic
1399	#102	C₂³×C₁₃	1	1	yes	characteristic
1400	#102	C₂³×C₁₃	1	1	yes	characteristic
1401	#102	C₂³×C₁₃	1	1	yes	characteristic
1402	#102	C₂³×C₁₃	1	1	yes	characteristic
1403	#102	C₂³×C₁₃	1	1	yes	characteristic
1404	#102	C₂³×C₁₃	1	1	yes	characteristic
1405	#102	C₂³×C₁₃	1	1	yes	characteristic
1406	#102	C₂³×C₁₃	1	1	yes	characteristic
1407	#102	C₂³×C₁₃	1	1	yes	characteristic
1408	#102	C₂³×C₁₃	1	1	yes	characteristic
1409	#102	C₂³×C₁₃	1	1	yes	characteristic
1410	#102	C₂³×C₁₃	1	1	yes	characteristic
1411	C₂²⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
1412	C₂²⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
1413	C₂²⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
1414	C₂²⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
1415	C₂²⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
1416	C₂²⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
1417	C₂²⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
1418	C₂²⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
1419	C₂²⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
1420	C₂²⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
1421	C₂²⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
1422	C₂²⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
1423	#97	C₂³×C₁₃	1	1	yes	characteristic
1424	#97	C₂³×C₁₃	1	1	yes	characteristic
1425	C₄×C₈	C₂³×C₁₃	1	1	yes	characteristic
1426	C₄×C₈	C₂³×C₁₃	1	1	yes	characteristic
1427	C₂×C₁₃	—	2	2	no	—
1428	C₂×C₁₃	—	4	1	no	—
1429	C₂×C₁₃	—	4	1	no	—
1430	C₂×C₁₃	—	4	1	no	—
1431	C₂×C₁₃	—	4	1	no	—
1432	C₂×C₁₃	—	4	2	no	—
1433	C₂×C₁₃	—	8	1	no	—
1434	C₂×C₁₃	—	8	1	no	—
1435	C₂×C₁₃	—	8	1	no	—
1436	C₂×C₁₃	—	8	1	no	—
1437	C₂×C₁₃	#3484	1	1	yes	characteristic
1438	C₂×C₁₃	C₂×#577	1	1	yes	characteristic
1439	C₂×C₁₃	#3584	1	1	yes	characteristic
1440	C₂⁴	—	2	1	no	—
1441	C₂⁴	—	2	1	no	—
1442	C₂⁴	—	2	1	no	—
1443	C₂⁴	—	2	1	no	—
1444	C₂⁴	C₂×D₄×C₁₃	1	1	yes	characteristic
1445	#41	—	2	2	no	—
1446	#41	—	2	2	no	—
1447	#41	—	2	2	no	—
1448	#41	—	2	2	no	—
1449	#41	—	2	2	no	—
1450	#41	—	2	2	no	—
1451	#41	—	4	1	no	—
1452	#41	—	4	1	no	—
1453	#41	—	4	1	no	—
1454	#41	—	4	1	no	—
1455	#41	—	4	1	no	—
1456	#41	—	4	1	no	—
1457	#41	—	4	1	no	—
1458	#41	—	4	1	no	—
1459	#41	—	4	4	no	—
1460	#41	—	4	4	no	—
1461	#41	—	4	1	no	—
1462	#41	—	4	1	no	—
1463	#41	—	4	1	no	—
1464	#41	—	4	1	no	—
1465	#41	—	4	4	no	—
1466	C₂×Q₈	—	2	1	no	—
1467	C₂×Q₈	—	2	1	no	—
1468	C₂×Q₈	—	2	1	no	—
1469	C₂×Q₈	—	2	1	no	—
1470	C₂×Q₈	—	2	2	no	—
1471	C₂×Q₈	—	4	1	no	—
1472	C₂×Q₈	—	4	1	no	—
1473	C₂×Q₈	—	4	1	no	—
1474	C₂×Q₈	—	4	1	no	—
1475	C₂×Q₈	—	4	1	no	—
1476	C₂×Q₈	C₂×D₄×C₁₃	1	1	yes	characteristic
1477	C₂×Q₈	C₂⁴×C₁₃	1	1	yes	characteristic
1478	C₂×Q₈	C₂⁴×C₁₃	1	1	yes	characteristic
1479	C₂×Q₈	C₂⁴×C₁₃	1	1	yes	characteristic
1480	C₂×Q₈	C₂⁴×C₁₃	1	1	yes	characteristic
1481	C₂×Q₈	C₂⁴×C₁₃	1	1	yes	characteristic
1482	C₂×D₄	—	2	1	no	—
1483	C₂×D₄	—	2	2	no	—
1484	C₂×D₄	—	2	2	no	—
1485	C₂×D₄	—	2	2	no	—
1486	C₂×D₄	—	2	1	no	—
1487	C₂×D₄	—	2	1	no	—
1488	C₂×D₄	—	2	1	no	—
1489	C₂×D₄	—	2	1	no	—
1490	C₂×D₄	—	2	1	no	—
1491	C₂×D₄	—	2	1	no	—
1492	C₂×D₄	—	2	1	no	—
1493	C₂×D₄	—	2	1	no	—
1494	C₂×D₄	—	2	1	no	—
1495	C₂×D₄	—	2	1	no	—
1496	C₂×D₄	—	2	1	no	—
1497	C₂×D₄	—	2	1	no	—
1498	C₂×D₄	—	2	1	no	—
1499	C₂×D₄	—	2	1	no	—
1500	C₂×D₄	—	2	1	no	—
1501	C₂×D₄	—	2	1	no	—
1502	C₂×D₄	—	2	1	no	—
1503	C₂×D₄	—	2	1	no	—
1504	C₂×D₄	—	2	1	no	—
1505	C₂×D₄	—	2	1	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	—	4	1	no	—
1511	C₂×D₄	—	4	1	no	—
1512	C₂×D₄	—	4	1	no	—
1513	C₂×D₄	—	4	1	no	—
1514	C₂×D₄	—	4	1	no	—
1515	C₂×D₄	—	4	4	no	—
1516	C₂×D₄	—	4	4	no	—
1517	C₂×D₄	—	4	4	no	—
1518	C₂×D₄	—	4	4	no	—
1519	C₂×D₄	—	8	2	no	—
1520	C₂×D₄	—	8	2	no	—
1521	C₂×D₄	—	8	2	no	—
1522	C₂×D₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1523	C₂×D₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1524	C₂×D₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1525	C₂×D₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1526	C₂×D₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1527	C₂×D₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1528	C₂×D₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1529	C₂×D₄	C₂⁴×C₁₃	1	1	yes	characteristic
1530	C₂×D₄	C₂⁴×C₁₃	1	1	yes	characteristic
1531	C₂×D₄	C₂⁴×C₁₃	1	1	yes	characteristic
1532	C₂×D₄	C₂⁴×C₁₃	1	1	yes	characteristic
1533	C₂×D₄	C₂⁴×C₁₃	1	1	yes	characteristic
1534	C₂²×C₄	—	2	1	no	—
1535	C₂²×C₄	—	2	1	no	—
1536	C₂²×C₄	—	2	1	no	—
1537	C₂²×C₄	—	2	1	no	—
1538	C₂²×C₄	—	2	1	no	—
1539	C₂²×C₄	—	2	1	no	—
1540	C₂²×C₄	—	2	1	no	—
1541	C₂²×C₄	—	2	1	no	—
1542	C₂²×C₄	—	2	1	no	—
1543	C₂²×C₄	—	2	1	no	—
1544	C₂²×C₄	—	2	1	no	—
1545	C₂²×C₄	—	2	1	no	—
1546	C₂²×C₄	—	2	1	no	—
1547	C₂²×C₄	—	2	1	no	—
1548	C₂²×C₄	—	2	1	no	—
1549	C₂²×C₄	—	2	1	no	—
1550	C₂²×C₄	—	2	1	no	—
1551	C₂²×C₄	—	4	1	no	—
1552	C₂²×C₄	—	4	1	no	—
1553	C₂²×C₄	—	4	4	no	—
1554	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1555	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1556	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1557	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1558	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1559	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1560	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1561	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1562	Q₁₆	—	2	2	no	—
1563	Q₁₆	—	2	2	no	—
1564	Q₁₆	—	2	2	no	—
1565	Q₁₆	—	4	1	no	—
1566	Q₁₆	—	4	1	no	—
1567	Q₁₆	—	4	1	no	—
1568	SD₁₆	—	2	2	no	—
1569	SD₁₆	—	2	2	no	—
1570	SD₁₆	—	2	2	no	—
1571	SD₁₆	—	2	2	no	—
1572	SD₁₆	—	4	1	no	—
1573	SD₁₆	—	4	1	no	—
1574	SD₁₆	—	4	1	no	—
1575	SD₁₆	—	4	1	no	—
1576	SD₁₆	—	4	1	no	—
1577	SD₁₆	—	4	1	no	—
1578	SD₁₆	—	4	1	no	—
1579	SD₁₆	—	4	1	no	—
1580	SD₁₆	—	4	1	no	—
1581	SD₁₆	—	4	1	no	—
1582	D₈	—	2	2	no	—
1583	D₈	—	4	1	no	—
1584	D₈	—	4	1	no	—
1585	D₈	—	4	1	no	—
1586	M₁₆	—	4	1	no	—
1587	M₁₆	—	4	1	no	—
1588	C₂×C₈	—	4	1	no	—
1589	C₂×C₈	—	4	1	no	—
1590	C₂×C₈	—	4	1	no	—
1591	C₂×C₈	—	4	1	no	—
1592	C₂×C₈	—	4	1	no	—
1593	C₂×C₈	—	4	1	no	—
1594	C₂×C₈	C₂⁴×C₁₃	1	1	yes	characteristic
1595	C₂×C₈	C₂⁴×C₁₃	1	1	yes	characteristic
1596	C₂×C₈	C₂⁴×C₁₃	1	1	yes	characteristic
1597	C₂×C₈	C₂⁴×C₁₃	1	1	yes	characteristic
1598	C₂×C₈	C₂⁴×C₁₃	1	1	yes	characteristic
1599	C₂×C₈	C₂⁴×C₁₃	1	1	yes	characteristic
1600	C₂×C₈	C₂⁴×C₁₃	1	1	yes	characteristic
1601	C₂×C₈	C₂⁴×C₁₃	1	1	yes	characteristic
1602	C₄⋊C₄	—	2	1	no	—
1603	C₄⋊C₄	—	2	1	no	—
1604	C₄⋊C₄	—	2	1	no	—
1605	C₄⋊C₄	—	2	1	no	—
1606	C₄⋊C₄	—	2	1	no	—
1607	C₄⋊C₄	—	2	1	no	—
1608	C₄⋊C₄	—	2	1	no	—
1609	C₄⋊C₄	—	2	1	no	—
1610	C₄⋊C₄	—	2	1	no	—
1611	C₄⋊C₄	—	2	1	no	—
1612	C₄⋊C₄	—	2	1	no	—
1613	C₄⋊C₄	—	2	1	no	—
1614	C₄⋊C₄	—	2	1	no	—
1615	C₄⋊C₄	—	2	1	no	—
1616	C₄⋊C₄	—	2	1	no	—
1617	C₄⋊C₄	—	2	1	no	—
1618	C₄⋊C₄	—	2	1	no	—
1619	C₄⋊C₄	—	2	1	no	—
1620	C₄⋊C₄	—	2	1	no	—
1621	C₄⋊C₄	—	2	1	no	—
1622	C₄⋊C₄	—	2	1	no	—
1623	C₄⋊C₄	—	2	1	no	—
1624	C₄⋊C₄	—	2	1	no	—
1625	C₄⋊C₄	—	2	1	no	—
1626	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1627	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1628	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1629	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1630	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1631	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1632	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1633	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1634	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1635	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1636	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1637	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1638	C₂²⋊C₄	—	2	1	no	—
1639	C₂²⋊C₄	—	2	1	no	—
1640	C₂²⋊C₄	—	2	1	no	—
1641	C₂²⋊C₄	—	2	1	no	—
1642	C₂²⋊C₄	—	2	1	no	—
1643	C₂²⋊C₄	—	2	1	no	—
1644	C₂²⋊C₄	—	2	1	no	—
1645	C₂²⋊C₄	—	2	1	no	—
1646	C₂²⋊C₄	—	2	1	no	—
1647	C₂²⋊C₄	—	2	1	no	—
1648	C₂²⋊C₄	—	2	1	no	—
1649	C₂²⋊C₄	—	2	1	no	—
1650	C₂²⋊C₄	—	2	1	no	—
1651	C₂²⋊C₄	—	2	1	no	—
1652	C₂²⋊C₄	—	2	1	no	—
1653	C₂²⋊C₄	—	2	1	no	—
1654	C₂²⋊C₄	—	2	1	no	—
1655	C₂²⋊C₄	—	2	1	no	—
1656	C₂²⋊C₄	—	2	1	no	—
1657	C₂²⋊C₄	—	2	1	no	—
1658	C₂²⋊C₄	—	2	1	no	—
1659	C₂²⋊C₄	—	2	1	no	—
1660	C₂²⋊C₄	—	2	1	no	—
1661	C₂²⋊C₄	—	2	1	no	—
1662	C₂²⋊C₄	—	2	1	no	—
1663	C₂²⋊C₄	—	2	1	no	—
1664	C₂²⋊C₄	—	2	1	no	—
1665	C₂²⋊C₄	—	2	1	no	—
1666	C₂²⋊C₄	—	2	1	no	—
1667	C₂²⋊C₄	—	2	1	no	—
1668	C₂²⋊C₄	—	2	1	no	—
1669	C₂²⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1670	C₂²⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1671	C₂²⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1672	C₂²⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1673	C₂²⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1674	C₂²⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1675	C₂²⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1676	C₂²⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1677	C₂²⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1678	C₂²⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1679	C₄²	—	2	1	no	—
1680	C₄²	—	2	1	no	—
1681	C₄²	—	2	1	no	—
1682	C₄²	—	2	1	no	—
1683	C₄²	—	2	1	no	—
1684	C₄²	—	2	1	no	—
1685	C₄²	—	2	1	no	—
1686	C₄²	C₂⁴×C₁₃	1	1	yes	characteristic
1687	C₄²	C₂⁴×C₁₃	1	1	yes	characteristic
1688	C₁₃	#61640	1	1	yes	characteristic, direct product factor, Sylow
1689	C₂³	—	2	1	no	—
1690	C₂³	—	2	2	no	—
1691	C₂³	—	2	1	no	—
1692	C₂³	—	2	1	no	—
1693	C₂³	—	2	1	no	—
1694	C₂³	—	2	1	no	—
1695	C₂³	—	4	1	no	—
1696	C₂³	—	4	1	no	—
1697	C₂³	—	4	2	no	—
1698	C₂³	—	4	2	no	—
1699	C₂³	—	4	2	no	—
1700	C₂³	—	4	2	no	—
1701	C₂³	—	4	2	no	—
1702	C₂³	—	8	1	no	—
1703	C₂³	—	8	1	no	—
1704	C₂³	—	8	1	no	—
1705	C₂³	—	8	1	no	—
1706	C₂³	—	8	1	no	—
1707	C₂³	—	8	1	no	—
1708	C₂³	—	8	1	no	—
1709	C₂³	C₂²×D₄×C₁₃	1	1	yes	characteristic
1710	C₂³	C₂²×D₄×C₁₃	1	1	yes	characteristic
1711	C₂³	C₂²×D₄×C₁₃	1	1	yes	characteristic
1712	C₂³	C₂²×D₄×C₁₃	1	1	yes	characteristic
1713	C₂³	C₂²×D₄×C₁₃	1	1	yes	characteristic
1714	Q₈	—	2	1	no	—
1715	Q₈	—	2	1	no	—
1716	Q₈	—	2	1	no	—
1717	Q₈	—	2	1	no	—
1718	Q₈	—	2	1	no	—
1719	Q₈	—	2	1	no	—
1720	Q₈	—	2	1	no	—
1721	Q₈	—	2	1	no	—
1722	Q₈	—	2	1	no	—
1723	Q₈	—	4	1	no	—
1724	Q₈	—	4	2	no	—
1725	Q₈	—	8	1	no	—
1726	Q₈	—	8	1	no	—
1727	Q₈	—	8	1	no	—
1728	Q₈	C₁₃×H(5,𝔽₂)	1	2	yes	—
1729	D₄	—	2	4	no	—
1730	D₄	—	2	2	no	—
1731	D₄	—	2	2	no	—
1732	D₄	—	2	1	no	—
1733	D₄	—	2	1	no	—
1734	D₄	—	2	1	no	—
1735	D₄	—	2	1	no	—
1736	D₄	—	2	1	no	—
1737	D₄	—	2	1	no	—
1738	D₄	—	2	1	no	—
1739	D₄	—	2	1	no	—
1740	D₄	—	2	1	no	—
1741	D₄	—	4	1	no	—
1742	D₄	—	4	1	no	—
1743	D₄	—	4	1	no	—
1744	D₄	—	4	1	no	—
1745	D₄	—	4	1	no	—
1746	D₄	—	4	2	no	—
1747	D₄	—	4	2	no	—
1748	D₄	—	4	2	no	—
1749	D₄	—	4	2	no	—
1750	D₄	—	4	2	no	—
1751	D₄	—	4	2	no	—
1752	D₄	—	4	2	no	—
1753	D₄	—	4	2	no	—
1754	D₄	—	4	2	no	—
1755	D₄	—	4	2	no	—
1756	D₄	—	4	2	no	—
1757	D₄	—	4	2	no	—
1758	D₄	—	8	1	no	—
1759	D₄	—	8	1	no	—
1760	D₄	—	8	1	no	—
1761	D₄	—	8	1	no	—
1762	D₄	—	8	1	no	—
1763	D₄	—	8	1	no	—
1764	D₄	—	8	1	no	—
1765	D₄	—	8	1	no	—
1766	D₄	—	8	1	no	—
1767	D₄	—	8	1	no	—
1768	D₄	—	8	1	no	—
1769	D₄	—	8	1	no	—
1770	D₄	C₁₃×H(5,𝔽₂)	1	2	yes	—
1771	C₂×C₄	—	2	4	no	—
1772	C₂×C₄	—	2	1	no	—
1773	C₂×C₄	—	2	1	no	—
1774	C₂×C₄	—	2	1	no	—
1775	C₂×C₄	—	2	1	no	—
1776	C₂×C₄	—	2	1	no	—
1777	C₂×C₄	—	2	1	no	—
1778	C₂×C₄	—	2	1	no	—
1779	C₂×C₄	—	2	1	no	—
1780	C₂×C₄	—	2	1	no	—
1781	C₂×C₄	—	2	1	no	—
1782	C₂×C₄	—	2	1	no	—
1783	C₂×C₄	—	2	1	no	—
1784	C₂×C₄	—	2	1	no	—
1785	C₂×C₄	—	2	1	no	—
1786	C₂×C₄	—	2	1	no	—
1787	C₂×C₄	—	2	1	no	—
1788	C₂×C₄	—	2	1	no	—
1789	C₂×C₄	—	2	1	no	—
1790	C₂×C₄	—	2	1	no	—
1791	C₂×C₄	—	2	1	no	—
1792	C₂×C₄	—	2	1	no	—
1793	C₂×C₄	—	4	1	no	—
1794	C₂×C₄	—	4	1	no	—
1795	C₂×C₄	—	4	1	no	—
1796	C₂×C₄	—	4	2	no	—
1797	C₂×C₄	—	4	2	no	—
1798	C₂×C₄	—	4	2	no	—
1799	C₂×C₄	—	4	2	no	—
1800	C₂×C₄	—	4	2	no	—
1801	C₂×C₄	—	4	2	no	—
1802	C₂×C₄	—	8	1	no	—
1803	C₂×C₄	—	8	1	no	—
1804	C₂×C₄	—	8	1	no	—
1805	C₂×C₄	—	8	1	no	—
1806	C₂×C₄	—	8	1	no	—
1807	C₂×C₄	—	8	1	no	—
1808	C₂×C₄	—	8	1	no	—
1809	C₂×C₄	—	8	1	no	—
1810	C₂×C₄	—	8	1	no	—
1811	C₂×C₄	—	8	1	no	—
1812	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1813	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1814	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1815	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1816	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1817	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1818	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1819	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1820	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1821	C₂×C₄	C₂⁵×C₁₃	1	1	yes	characteristic
1822	C₈	—	2	1	no	—
1823	C₈	—	2	1	no	—
1824	C₈	—	2	1	no	—
1825	C₈	—	2	1	no	—
1826	C₈	—	2	1	no	—
1827	C₈	—	2	1	no	—
1828	C₈	—	2	1	no	—
1829	C₈	—	2	1	no	—
1830	C₂²	—	2	1	no	—
1831	C₂²	—	2	1	no	—
1832	C₂²	—	2	1	no	—
1833	C₂²	—	2	1	no	—
1834	C₂²	—	2	1	no	—
1835	C₂²	—	2	1	no	—
1836	C₂²	—	2	1	no	—
1837	C₂²	—	2	1	no	—
1838	C₂²	—	2	1	no	—
1839	C₂²	—	2	1	no	—
1840	C₂²	—	2	1	no	—
1841	C₂²	—	2	2	no	—
1842	C₂²	—	2	1	no	—
1843	C₂²	—	2	1	no	—
1844	C₂²	—	2	1	no	—
1845	C₂²	—	4	1	no	—
1846	C₂²	—	4	1	no	—
1847	C₂²	—	4	1	no	—
1848	C₂²	—	4	1	no	—
1849	C₂²	—	4	1	no	—
1850	C₂²	—	4	1	no	—
1851	C₂²	—	4	1	no	—
1852	C₂²	—	4	1	no	—
1853	C₂²	—	4	1	no	—
1854	C₂²	—	4	1	no	—
1855	C₂²	—	4	1	no	—
1856	C₂²	—	4	1	no	—
1857	C₂²	—	4	1	no	—
1858	C₂²	—	4	1	no	—
1859	C₂²	—	8	2	no	—
1860	C₂²	—	8	4	no	—
1861	C₂²	—	16	2	no	—
1862	C₂²	—	16	2	no	—
1863	C₂²	—	16	2	no	—
1864	C₂²	C₁₃×#577	1	2	yes	—
1865	C₂²	C₂³×D₄×C₁₃	1	1	yes	characteristic
1866	C₄	—	2	1	no	—
1867	C₄	—	2	1	no	—
1868	C₄	—	2	1	no	—
1869	C₄	—	2	1	no	—
1870	C₄	—	2	1	no	—
1871	C₄	—	2	2	no	—
1872	C₄	—	2	1	no	—
1873	C₄	—	2	1	no	—
1874	C₄	—	2	1	no	—
1875	C₄	—	2	1	no	—
1876	C₄	—	4	1	no	—
1877	C₄	—	4	1	no	—
1878	C₄	—	4	1	no	—
1879	C₄	—	4	1	no	—
1880	C₄	—	4	1	no	—
1881	C₄	—	4	1	no	—
1882	C₄	—	4	1	no	—
1883	C₄	—	4	1	no	—
1884	C₄	—	4	1	no	—
1885	C₄	—	4	1	no	—
1886	C₄	C₂×C₁₃×H(5,𝔽₂)	1	1	yes	characteristic
1887	C₄	C₂×C₁₃×H(5,𝔽₂)	1	1	yes	characteristic
1888	C₂	—	2	2	no	—
1889	C₂	—	4	1	no	—
1890	C₂	—	4	1	no	—
1891	C₂	—	4	1	no	—
1892	C₂	—	4	1	no	—
1893	C₂	—	4	2	no	—
1894	C₂	—	8	1	no	—
1895	C₂	—	8	1	no	—
1896	C₂	—	8	1	no	—
1897	C₂	—	8	1	no	—
1898	C₂	C₁₃×#3484	1	1	yes	characteristic
1899	C₂	C₂×C₁₃×#577	1	1	yes	characteristic
1900	C₂	C₁₃×#3584	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×#3541	C₂	semidirect
2. C₁₃×#3488	C₂	semidirect
3. C₁₃×#3318	C₂	semidirect
4. C₁₃×#3317	C₂	semidirect
5. C₁₃×#3316	C₂	semidirect
6. C₁₃×#3311	C₂	semidirect
7. C₁₃×#3304	C₂	semidirect
8. C₁₃×#3301	C₂	semidirect
9. C₁₃×#3296	C₂	semidirect
10. C₁₃×#3295	C₂	semidirect
11. C₁₃×#3285	C₂	semidirect
12. C₁₃×#3284	C₂	semidirect
13. C₁₃×#3282	C₂	semidirect
14. D₄×C₁₃×SD₁₆	C₂	semidirect
15. C₁₃×#3271	C₂	semidirect
16. C₁₃×#3270	C₂	semidirect
17. C₁₃×#3267	C₂	semidirect
18. C₁₃×#3265	C₂	semidirect
19. C₁₃×#3224	C₂	semidirect
20. C₁₃×#3222	C₂	semidirect
21. C₁₃×#3204	C₂	semidirect
22. C₁₃×#3201	C₂	semidirect
23. C₁₃×#3188	C₂	semidirect
24. C₁₃×#3187	C₂	semidirect
25. C₁₃×#3125	C₂	semidirect
26. C₁₃×#3120	C₂	semidirect
27. C₁₃×#3012	C₂	semidirect
28. C₁₃×#3009	C₂	semidirect
29. C₁₃×#3002	C₂	semidirect
30. C₂×C₁₃×#452	C₂	semidirect
31. C₁₃×#2977	C₂	semidirect
34. C₂×C₁₃×#137	C₂²	semidirect
35. C₂×C₁₃×AGL(1,ℤ/8)	C₂²	semidirect
36. C₂×C₁₃×#135	C₂²	semidirect
37. C₂×C₁₃×#135	C₂²	semidirect
38. C₂×C₁₃×#135	C₂²	semidirect
39. C₂²×C₁₃×Q₁₆	C₂²	semidirect
40. C₂²×C₁₃×SD₁₆	C₂²	semidirect
41. C₂²×C₁₃×SD₁₆	C₂²	semidirect
44. C₁₃×#556	C₂²	semidirect
46. C₁₃×#554	C₂²	semidirect
48. C₁₃×#553	C₂²	semidirect
49. C₁₃×#552	C₂²	semidirect
52. D₄×Q₈×C₁₃	C₂²	semidirect
55. C₁₃×#548	C₂²	semidirect
56. C₁₃×#548	C₂²	semidirect
57. C₁₃×#547	C₂²	semidirect
67. C₁₃×#542	C₂²	semidirect
68. C₁₃×#541	C₂²	semidirect
74. C₁₃×#537	C₂²	semidirect
75. C₁₃×#536	C₂²	semidirect
80. C₁₃×#525	C₂²	semidirect
81. C₂×C₁₃×C₂²⋊Q₈	C₂²	semidirect
85. C₁₃×#497	C₂²	semidirect
86. C₁₃×#496	C₂²	semidirect
87. C₁₃×#495	C₂²	semidirect
88. C₁₃×#492	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×#484	C₂²	semidirect
95. C₁₃×#483	C₂²	semidirect
96. C₁₃×#483	C₂²	semidirect
97. C₁₃×#483	C₂²	semidirect
98. C₁₃×#482	C₂²	semidirect
99. C₁₃×#482	C₂²	semidirect
100. C₁₃×#482	C₂²	semidirect
101. C₁₃×#481	C₂²	semidirect
102. C₁₃×#481	C₂²	semidirect
103. C₁₃×#481	C₂²	semidirect
104. C₁₃×#481	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×#470	C₂²	semidirect
111. C₁₃×#469	C₂²	semidirect
112. C₁₃×#468	C₂²	semidirect
113. C₁₃×#467	C₂²	semidirect
114. C₁₃×#466	C₂²	semidirect
115. C₁₃×#466	C₂²	semidirect
116. C₁₃×#465	C₂²	semidirect
117. C₁₃×#465	C₂²	semidirect
118. C₁₃×#465	C₂²	semidirect
119. C₁₃×#465	C₂²	semidirect
120. C₁₃×#465	C₂²	semidirect
121. C₁₃×#465	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×#464	C₂²	semidirect
128. C₁₃×#464	C₂²	semidirect
129. C₁₃×#463	C₂²	semidirect
130. C₁₃×#463	C₂²	semidirect
131. C₁₃×#462	C₂²	semidirect
132. C₁₃×#461	C₂²	semidirect
133. C₁₃×#460	C₂²	semidirect
134. C₁₃×#460	C₂²	semidirect
135. C₁₃×#460	C₂²	semidirect
136. C₁₃×#459	C₂²	semidirect
140. C₁₃×#452	C₂²	semidirect
141. C₁₃×#452	C₂²	semidirect
142. C₁₃×#452	C₂²	semidirect
143. C₁₃×#452	C₂²	semidirect
144. C₁₃×#452	C₂²	semidirect
145. C₁₃×#452	C₂²	semidirect
146. C₁₃×#452	C₂²	semidirect
147. C₁₃×#452	C₂²	semidirect
148. C₁₃×#452	C₂²	semidirect
149. C₁₃×#452	C₂²	semidirect
150. C₁₃×#452	C₂²	semidirect
151. C₁₃×#451	C₂²	semidirect
152. C₁₃×#451	C₂²	semidirect
153. C₁₃×#450	C₂²	semidirect
154. C₁₃×#450	C₂²	semidirect
155. C₁₃×#450	C₂²	semidirect
156. C₁₃×#450	C₂²	semidirect
157. C₁₃×#450	C₂²	semidirect
158. C₁₃×#450	C₂²	semidirect
159. C₁₃×#450	C₂²	semidirect
161. C₁₃×#449	C₂²	semidirect
162. C₁₃×#449	C₂²	semidirect
163. C₁₃×#449	C₂²	semidirect
164. C₁₃×#449	C₂²	semidirect
165. C₁₃×#449	C₂²	semidirect
166. C₁₃×#448	C₂²	semidirect
167. C₁₃×#448	C₂²	semidirect
168. C₁₃×#448	C₂²	semidirect
169. C₁₃×#448	C₂²	semidirect
170. C₁₃×#447	C₂²	semidirect
171. C₁₃×#447	C₂²	semidirect
172. C₁₃×#447	C₂²	semidirect
173. C₁₃×#442	C₂²	semidirect
174. C₁₃×#441	C₂²	semidirect
175. C₁₃×#441	C₂²	semidirect
176. C₁₃×#440	C₂²	semidirect
177. C₄×C₁₃×Q₁₆	C₂²	semidirect
178. C₄×C₁₃×SD₁₆	C₂²	semidirect
179. C₄×C₁₃×SD₁₆	C₂²	semidirect
180. C₄×C₁₃×SD₁₆	C₂²	semidirect
181. C₁₃×#435	C₂²	semidirect
182. C₁₃×#435	C₂²	semidirect
183. C₁₃×#435	C₂²	semidirect
184. C₁₃×#435	C₂²	semidirect
185. C₈×D₄×C₁₃	C₂²	semidirect
186. C₈×D₄×C₁₃	C₂²	semidirect
187. C₈×D₄×C₁₃	C₂²	semidirect
188. C₈×D₄×C₁₃	C₂²	semidirect
189. C₁₃×#433	C₂²	semidirect
190. C₁₃×#433	C₂²	semidirect
191. C₁₃×#418	C₂²	semidirect
192. C₁₃×#417	C₂²	semidirect
193. C₁₃×#416	C₂²	semidirect
194. C₁₃×#416	C₂²	semidirect
195. C₁₃×#416	C₂²	semidirect
196. C₂×C₁₃×#103	C₂²	semidirect
197. C₂×C₁₃×#102	C₂²	semidirect
198. C₂×C₁₃×#102	C₂²	semidirect
199. C₁₃×#408	C₂²	semidirect
200. C₁₃×#408	C₂²	semidirect
201. C₂×C₁₃×C₂²⋊C₈	C₂²	semidirect
202. C₂×C₁₃×C₂²⋊C₈	C₂²	semidirect
490. #61640	C₁₃	direct (N × H)
739. #3541	C₂×C₁₃	semidirect
740. #3488	C₂×C₁₃	semidirect
741. #3318	C₂×C₁₃	semidirect
742. #3317	C₂×C₁₃	semidirect
743. #3316	C₂×C₁₃	semidirect
744. #3311	C₂×C₁₃	semidirect
745. #3304	C₂×C₁₃	semidirect
746. #3301	C₂×C₁₃	semidirect
747. #3296	C₂×C₁₃	semidirect
748. #3295	C₂×C₁₃	semidirect
749. #3285	C₂×C₁₃	semidirect
750. #3284	C₂×C₁₃	semidirect
751. #3282	C₂×C₁₃	semidirect
752. D₄×SD₁₆	C₂×C₁₃	semidirect
753. #3271	C₂×C₁₃	semidirect
754. #3270	C₂×C₁₃	semidirect
755. #3267	C₂×C₁₃	semidirect
756. #3265	C₂×C₁₃	semidirect
757. #3224	C₂×C₁₃	semidirect
758. #3222	C₂×C₁₃	semidirect
759. #3204	C₂×C₁₃	semidirect
760. #3201	C₂×C₁₃	semidirect
761. #3188	C₂×C₁₃	semidirect
762. #3187	C₂×C₁₃	semidirect
763. #3125	C₂×C₁₃	semidirect
764. #3120	C₂×C₁₃	semidirect
765. #3012	C₂×C₁₃	semidirect
766. #3009	C₂×C₁₃	semidirect
767. #3002	C₂×C₁₃	semidirect
768. C₂×#452	C₂×C₁₃	semidirect
769. #2977	C₂×C₁₃	semidirect
913. C₂×#137	C₂²×C₁₃	semidirect
914. C₂×AGL(1,ℤ/8)	C₂²×C₁₃	semidirect
915. C₂×#135	C₂²×C₁₃	semidirect
916. C₂×#135	C₂²×C₁₃	semidirect
917. C₂×#135	C₂²×C₁₃	semidirect
918. C₂²×Q₁₆	C₂²×C₁₃	semidirect
919. C₂²×SD₁₆	C₂²×C₁₃	semidirect
920. C₂²×SD₁₆	C₂²×C₁₃	semidirect
923. #556	C₂²×C₁₃	semidirect
925. #554	C₂²×C₁₃	semidirect
927. #553	C₂²×C₁₃	semidirect
928. #552	C₂²×C₁₃	semidirect
931. D₄×Q₈	C₂²×C₁₃	semidirect
934. #548	C₂²×C₁₃	semidirect
935. #548	C₂²×C₁₃	semidirect
936. #547	C₂²×C₁₃	semidirect
946. #542	C₂²×C₁₃	semidirect
947. #541	C₂²×C₁₃	semidirect
953. #537	C₂²×C₁₃	semidirect
954. #536	C₂²×C₁₃	semidirect
959. #525	C₂²×C₁₃	semidirect
960. C₂×C₂²⋊Q₈	C₂²×C₁₃	semidirect
964. #497	C₂²×C₁₃	semidirect
965. #496	C₂²×C₁₃	semidirect
966. #495	C₂²×C₁₃	semidirect
967. #492	C₂²×C₁₃	semidirect
968. #490	C₂²×C₁₃	semidirect
969. #489	C₂²×C₁₃	semidirect
970. #488	C₂²×C₁₃	semidirect
971. #486	C₂²×C₁₃	semidirect
972. #485	C₂²×C₁₃	semidirect
973. #484	C₂²×C₁₃	semidirect
974. #483	C₂²×C₁₃	semidirect
975. #483	C₂²×C₁₃	semidirect
976. #483	C₂²×C₁₃	semidirect
977. #482	C₂²×C₁₃	semidirect
978. #482	C₂²×C₁₃	semidirect
979. #482	C₂²×C₁₃	semidirect
980. #481	C₂²×C₁₃	semidirect
981. #481	C₂²×C₁₃	semidirect
982. #481	C₂²×C₁₃	semidirect
983. #481	C₂²×C₁₃	semidirect
984. #479	C₂²×C₁₃	semidirect
985. #478	C₂²×C₁₃	semidirect
986. #476	C₂²×C₁₃	semidirect
987. #475	C₂²×C₁₃	semidirect
988. #470	C₂²×C₁₃	semidirect
989. #470	C₂²×C₁₃	semidirect
990. #469	C₂²×C₁₃	semidirect
991. #468	C₂²×C₁₃	semidirect
992. #467	C₂²×C₁₃	semidirect
993. #466	C₂²×C₁₃	semidirect
994. #466	C₂²×C₁₃	semidirect
995. #465	C₂²×C₁₃	semidirect
996. #465	C₂²×C₁₃	semidirect
997. #465	C₂²×C₁₃	semidirect
998. #465	C₂²×C₁₃	semidirect
999. #465	C₂²×C₁₃	semidirect
1000. #465	C₂²×C₁₃	semidirect
1001. #465	C₂²×C₁₃	semidirect
1002. #465	C₂²×C₁₃	semidirect
1003. #465	C₂²×C₁₃	semidirect
1004. #464	C₂²×C₁₃	semidirect
1005. #464	C₂²×C₁₃	semidirect
1006. #464	C₂²×C₁₃	semidirect
1007. #464	C₂²×C₁₃	semidirect
1008. #463	C₂²×C₁₃	semidirect
1009. #463	C₂²×C₁₃	semidirect
1010. #462	C₂²×C₁₃	semidirect
1011. #461	C₂²×C₁₃	semidirect
1012. #460	C₂²×C₁₃	semidirect
1013. #460	C₂²×C₁₃	semidirect
1014. #460	C₂²×C₁₃	semidirect
1015. #459	C₂²×C₁₃	semidirect
1019. #452	C₂²×C₁₃	semidirect
1020. #452	C₂²×C₁₃	semidirect
1021. #452	C₂²×C₁₃	semidirect
1022. #452	C₂²×C₁₃	semidirect
1023. #452	C₂²×C₁₃	semidirect
1024. #452	C₂²×C₁₃	semidirect
1025. #452	C₂²×C₁₃	semidirect
1026. #452	C₂²×C₁₃	semidirect
1027. #452	C₂²×C₁₃	semidirect
1028. #452	C₂²×C₁₃	semidirect
1029. #452	C₂²×C₁₃	semidirect
1030. #451	C₂²×C₁₃	semidirect
1031. #451	C₂²×C₁₃	semidirect
1032. #450	C₂²×C₁₃	semidirect
1033. #450	C₂²×C₁₃	semidirect
1034. #450	C₂²×C₁₃	semidirect
1035. #450	C₂²×C₁₃	semidirect
1036. #450	C₂²×C₁₃	semidirect
1037. #450	C₂²×C₁₃	semidirect
1038. #450	C₂²×C₁₃	semidirect
1040. #449	C₂²×C₁₃	semidirect
1041. #449	C₂²×C₁₃	semidirect
1042. #449	C₂²×C₁₃	semidirect
1043. #449	C₂²×C₁₃	semidirect
1044. #449	C₂²×C₁₃	semidirect
1045. #448	C₂²×C₁₃	semidirect
1046. #448	C₂²×C₁₃	semidirect
1047. #448	C₂²×C₁₃	semidirect
1048. #448	C₂²×C₁₃	semidirect
1049. #447	C₂²×C₁₃	semidirect
1050. #447	C₂²×C₁₃	semidirect
1051. #447	C₂²×C₁₃	semidirect
1052. #442	C₂²×C₁₃	semidirect
1053. #441	C₂²×C₁₃	semidirect
1054. #441	C₂²×C₁₃	semidirect
1055. #440	C₂²×C₁₃	semidirect
1056. C₄×Q₁₆	C₂²×C₁₃	semidirect
1057. C₄×SD₁₆	C₂²×C₁₃	semidirect
1058. C₄×SD₁₆	C₂²×C₁₃	semidirect
1059. C₄×SD₁₆	C₂²×C₁₃	semidirect
1060. #435	C₂²×C₁₃	semidirect
1061. #435	C₂²×C₁₃	semidirect
1062. #435	C₂²×C₁₃	semidirect
1063. #435	C₂²×C₁₃	semidirect
1064. C₈×D₄	C₂²×C₁₃	semidirect
1065. C₈×D₄	C₂²×C₁₃	semidirect
1066. C₈×D₄	C₂²×C₁₃	semidirect
1067. C₈×D₄	C₂²×C₁₃	semidirect
1068. #433	C₂²×C₁₃	semidirect
1069. #433	C₂²×C₁₃	semidirect
1070. #418	C₂²×C₁₃	semidirect
1071. #417	C₂²×C₁₃	semidirect
1072. #416	C₂²×C₁₃	semidirect
1073. #416	C₂²×C₁₃	semidirect
1074. #416	C₂²×C₁₃	semidirect
1075. C₂×#103	C₂²×C₁₃	semidirect
1076. C₂×#102	C₂²×C₁₃	semidirect
1077. C₂×#102	C₂²×C₁₃	semidirect
1078. #408	C₂²×C₁₃	semidirect
1079. #408	C₂²×C₁₃	semidirect
1080. C₂×C₂²⋊C₈	C₂²×C₁₃	semidirect
1081. C₂×C₂²⋊C₈	C₂²×C₁₃	semidirect
1688. C₁₃	#61640	direct (N × H)

Maximal subgroups

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

subgroup	index
C₁₃×#3541	2
C₁₃×#3488	2
C₁₃×#3318	2
C₁₃×#3317	2
C₁₃×#3316	2
C₁₃×#3311	2
C₁₃×#3304	2
C₁₃×#3301	2
C₁₃×#3296	2
C₁₃×#3295	2
C₁₃×#3285	2
C₁₃×#3284	2
C₁₃×#3282	2
D₄×C₁₃×SD₁₆	2
C₁₃×#3271	2
C₁₃×#3270	2
C₁₃×#3267	2
C₁₃×#3265	2
C₁₃×#3224	2
C₁₃×#3222	2
C₁₃×#3204	2
C₁₃×#3201	2
C₁₃×#3188	2
C₁₃×#3187	2
C₁₃×#3125	2
C₁₃×#3120	2
C₁₃×#3012	2
C₁₃×#3009	2
C₁₃×#3002	2
C₂×C₁₃×#452	2
C₁₃×#2977	2
#61640	13

Subgroups — C13×#61640 #15747979

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₃×#61640 #15747979