Subgroups — D₁₃×#3282 #16738139

Order 3328.

2934 conjugacy classes of subgroups.

The subgroup lattice has 2094 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×D₁₃×#135	C₂	1	1	yes	maximal, characteristic, complemented
2	C₂²×SD₁₆×D₁₃	C₂	1	1	yes	maximal, characteristic, complemented
3	D₁₃×#548	C₂	1	1	yes	maximal, characteristic, complemented
4	D₁₃×#546	C₂	1	1	yes	maximal, characteristic, complemented
5	#13126550	C₂	1	1	yes	maximal, characteristic, complemented
6	#13126549	C₂	1	1	yes	maximal, characteristic, complemented
7	#13126548	C₂	1	1	yes	maximal, characteristic, complemented
8	#13126547	C₂	1	1	yes	maximal, characteristic, complemented
9	#13126546	C₂	1	1	yes	maximal, characteristic, complemented
10	#13126545	C₂	1	1	yes	maximal, characteristic, complemented
11	#13126544	C₂	1	1	yes	maximal, characteristic, complemented
12	#13126543	C₂	1	1	yes	maximal, characteristic, complemented
13	#13126542	C₂	1	1	yes	maximal, characteristic, complemented
14	#13126541	C₂	1	1	yes	maximal, characteristic, complemented
15	#13126540	C₂	1	1	yes	maximal, characteristic, complemented
16	#13126539	C₂	1	1	yes	maximal, characteristic, complemented
17	#13126538	C₂	1	1	yes	maximal, characteristic, complemented
18	#13126537	C₂	1	1	yes	maximal, characteristic, complemented
19	#13126536	C₂	1	1	yes	maximal, characteristic, complemented
20	D₁₃×#495	C₂	1	1	yes	maximal, characteristic, complemented
21	D₁₃×#465	C₂	1	1	yes	maximal, characteristic, complemented
22	D₁₃×#465	C₂	1	1	yes	maximal, characteristic, complemented
23	D₁₃×#464	C₂	1	1	yes	maximal, characteristic, complemented
24	D₁₃×#463	C₂	1	1	yes	maximal, characteristic, complemented
25	D₁₃×#452	C₂	1	1	yes	maximal, characteristic, complemented
26	D₁₃×#449	C₂	1	1	yes	maximal, characteristic, complemented
27	D₁₃×#451	C₂	1	1	yes	maximal, characteristic, complemented
28	D₁₃×#447	C₂	1	1	yes	maximal, characteristic, complemented
29	C₄×SD₁₆×D₁₃	C₂	1	1	yes	maximal, characteristic, complemented
30	C₈×D₄×D₁₃	C₂	1	1	yes	maximal, characteristic, complemented
31	C₁₃×#3282	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂×#41×D₁₃	C₂²	1	1	yes	characteristic
33	C₂×#41×D₁₃	C₂²	1	1	yes	characteristic, complemented
34	C₂²×Q₈×D₁₃	C₂²	1	1	yes	characteristic
35	C₂²×D₄×D₁₃	C₂²	1	1	yes	characteristic
36	C₂×C₁₃×#135	C₂²	1	1	yes	characteristic, complemented
37	C₂²×C₁₃×SD₁₆	C₂²	1	1	yes	characteristic, complemented
38	C₁₃×#548	C₂²	1	1	yes	characteristic, complemented
39	C₁₃×#546	C₂²	1	1	yes	characteristic, complemented
40	#11719536	C₂²	1	1	yes	characteristic, complemented
41	#11719534	C₂²	1	1	yes	characteristic, complemented
42	C₂×#88204	C₂²	1	1	yes	characteristic, complemented
43	C₂×#88204	C₂²	1	1	yes	characteristic, complemented
44	#11719522	C₂²	1	1	yes	characteristic, complemented
45	C₂²×#6106	C₂²	1	1	yes	characteristic, complemented
46	#11719511	C₂²	1	1	yes	characteristic, complemented
47	C₂²×#6105	C₂²	1	1	yes	characteristic, complemented
48	D₁₃×#135	—	2	8	no	—
49	C₂×#88173	C₂²	1	1	yes	characteristic, complemented
50	C₂×Q₁₆×D₁₃	C₂²	1	1	yes	characteristic, complemented
51	C₂×Q₁₆×D₁₃	C₂²	1	1	yes	characteristic, complemented
52	C₂×#88170	C₂²	1	1	yes	characteristic, complemented
53	C₂×#88170	C₂²	1	1	yes	characteristic, complemented
54	C₂×SD₁₆×D₁₃	—	2	8	no	—
55	C₂×SD₁₆×D₁₃	C₂²	1	1	yes	characteristic
56	C₂×SD₁₆×D₁₃	C₂²	1	1	yes	characteristic
57	C₂×SD₁₆×D₁₃	C₂²	1	1	yes	characteristic
58	C₂×SD₁₆×D₁₃	C₂²	1	1	yes	characteristic
59	C₂×SD₁₆×D₁₃	C₂²	1	1	yes	characteristic, complemented
60	C₂×SD₁₆×D₁₃	C₂²	1	1	yes	characteristic, complemented
61	C₂×SD₁₆×D₁₃	C₂²	1	1	yes	characteristic, complemented
62	C₂×SD₁₆×D₁₃	C₂²	1	1	yes	characteristic, complemented
63	C₂×SD₁₆×D₁₃	C₂²	1	1	yes	characteristic, complemented
64	C₂×#88166	C₂²	1	1	yes	characteristic, complemented
65	C₂×D₈×D₁₃	C₂²	1	1	yes	characteristic
66	C₂×D₈×D₁₃	C₂²	1	1	yes	characteristic
67	C₂×#88158	C₂²	1	1	yes	characteristic, complemented
68	C₂²×#6095	C₂²	1	1	yes	characteristic, complemented
69	C₂²×C₈×D₁₃	C₂²	1	1	yes	characteristic
70	C₂²×C₈×D₁₃	C₂²	1	1	yes	characteristic, complemented
71	#11719382	—	2	1	no	—
72	#11719382	C₂²	1	1	yes	characteristic, complemented
73	#11719381	C₂²	1	1	yes	characteristic, complemented
74	D₁₃×#124	—	2	1	no	—
75	D₁₃×#124	C₂²	1	1	yes	characteristic
76	D₁₃×#124	C₂²	1	1	yes	characteristic, complemented
77	#11719359	—	2	1	no	—
78	D₁₃×#123	—	2	1	no	—
79	#11719338	—	2	1	no	—
80	#11719338	C₂²	1	1	yes	characteristic, complemented
81	#11719335	C₂²	1	1	yes	characteristic, complemented
82	D₁₃×C₂²⋊Q₈	—	2	1	no	—
83	D₁₃×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
84	D₁₃×C₂²⋊Q₈	C₂²	1	1	yes	characteristic, complemented
85	#11719317	C₂²	1	1	yes	characteristic, complemented
86	#11719315	—	2	1	no	—
87	D₁₃×#121	—	2	1	no	—
88	D₁₃×#121	—	2	1	no	—
89	D₁₃×#121	C₂²	1	1	yes	characteristic
90	D₁₃×#121	C₂²	1	1	yes	characteristic
91	#11719303	—	2	1	no	—
92	#11719303	C₂²	1	1	yes	characteristic, complemented
93	#11719296	—	2	1	no	—
94	D₁₃×#120	—	2	1	no	—
95	#11719281	C₂²	1	1	yes	characteristic, complemented
96	C₄×Q₈×D₁₃	C₂²	1	1	yes	characteristic, complemented
97	#11719259	C₂²	1	1	yes	characteristic, complemented
98	#11719257	—	2	1	no	—
99	#11719257	C₂²	1	1	yes	characteristic, complemented
100	#11719255	C₂²	1	1	yes	characteristic, complemented
101	C₄×D₄×D₁₃	—	2	1	no	—
102	C₄×D₄×D₁₃	C₂²	1	1	yes	characteristic
103	C₄×D₄×D₁₃	C₂²	1	1	yes	characteristic
104	#11719195	—	2	1	no	—
105	C₂×C₂²⋊C₄×D₁₃	—	2	1	no	—
106	C₁₃×#495	C₂²	1	1	yes	characteristic, complemented
107	C₁₃×#465	C₂²	1	1	yes	characteristic, complemented
108	C₁₃×#465	C₂²	1	1	yes	characteristic, complemented
109	C₁₃×#464	C₂²	1	1	yes	characteristic, complemented
110	C₁₃×#463	C₂²	1	1	yes	characteristic, complemented
111	C₁₃×#452	C₂²	1	1	yes	characteristic, complemented
112	C₁₃×#451	C₂²	1	1	yes	characteristic, complemented
113	C₁₃×#449	C₂²	1	1	yes	characteristic, complemented
114	C₁₃×#447	C₂²	1	1	yes	characteristic, complemented
115	C₄×C₁₃×SD₁₆	C₂²	1	1	yes	characteristic, complemented
116	C₈×D₄×C₁₃	C₂²	1	1	yes	characteristic, complemented
117	#11718900	C₂²	1	1	yes	characteristic, complemented
118	#11718899	C₂²	1	1	yes	characteristic, complemented
119	#11718889	C₂²	1	1	yes	characteristic, complemented
120	#11718878	C₂²	1	1	yes	characteristic, complemented
121	#11718852	C₂²	1	1	yes	characteristic, complemented
122	#11718848	C₂²	1	1	yes	characteristic, complemented
123	#11718847	C₂²	1	1	yes	characteristic, complemented
124	#11718847	C₂²	1	1	yes	characteristic, complemented
125	#11718846	C₂²	1	1	yes	characteristic, complemented
126	#11718834	C₂²	1	1	yes	characteristic, complemented
127	#11718833	C₂²	1	1	yes	characteristic, complemented
128	#11718832	C₂²	1	1	yes	characteristic, complemented
129	#11718832	C₂²	1	1	yes	characteristic, complemented
130	#11718829	C₂²	1	1	yes	characteristic, complemented
131	#11718829	C₂²	1	1	yes	characteristic, complemented
132	#11718827	C₂²	1	1	yes	characteristic, complemented
133	#11718826	C₂²	1	1	yes	characteristic, complemented
134	SD₁₆×Dic₁₃	C₂²	1	1	yes	characteristic, complemented
135	#11718819	C₂²	1	1	yes	characteristic, complemented
136	#11718817	C₂²	1	1	yes	characteristic, complemented
137	#11718817	C₂²	1	1	yes	characteristic, complemented
138	#11718816	C₂²	1	1	yes	characteristic, complemented
139	#11718814	C₂²	1	1	yes	characteristic, complemented
140	#11718775	C₂²	1	1	yes	characteristic, complemented
141	#11718775	C₂²	1	1	yes	characteristic, complemented
142	C₈×C₂²⋊D₁₃	C₂²	1	1	yes	characteristic, complemented
143	C₈×C₂²⋊D₁₃	C₂²	1	1	yes	characteristic, complemented
144	#11718720	C₂²	1	1	yes	characteristic, complemented
145	#11718720	C₂²	1	1	yes	characteristic, complemented
146	#11718718	C₂²	1	1	yes	characteristic, complemented
147	#11718715	C₂²	1	1	yes	characteristic, complemented
148	#11718711	C₂²	1	1	yes	characteristic, complemented
149	#11718709	C₂²	1	1	yes	characteristic, complemented
150	#11718709	C₂²	1	1	yes	characteristic, complemented
151	#11718708	C₂²	1	1	yes	characteristic, complemented
152	#11718702	C₂²	1	1	yes	characteristic, complemented
153	#11718702	C₂²	1	1	yes	characteristic, complemented
154	#11718698	C₂²	1	1	yes	characteristic, complemented
155	#11718697	C₂²	1	1	yes	characteristic, complemented
156	#11718689	C₂²	1	1	yes	characteristic, complemented
157	C₄×#6106	C₂²	1	1	yes	characteristic, complemented
158	C₄×#6105	C₂²	1	1	yes	characteristic, complemented
159	#11718677	C₂²	1	1	yes	characteristic, complemented
160	D₄×#1055	C₂²	1	1	yes	characteristic, complemented
161	#11718525	C₂²	1	1	yes	characteristic, complemented
162	#11718525	C₂²	1	1	yes	characteristic, complemented
163	D₁₃×#106	C₂²	1	1	yes	characteristic, complemented
164	#11718513	C₂²	1	1	yes	characteristic, complemented
165	#11718506	C₂²	1	1	yes	characteristic, complemented
166	#11718505	C₂²	1	1	yes	characteristic, complemented
167	#11718495	C₂²	1	1	yes	characteristic, complemented
168	D₁₃×C₄⋊C₈	C₂²	1	1	yes	characteristic, complemented
169	#11718480	C₂²	1	1	yes	characteristic, complemented
170	#11718472	C₂²	1	1	yes	characteristic, complemented
171	#11718471	C₂²	1	1	yes	characteristic, complemented
172	#11718469	C₂²	1	1	yes	characteristic, complemented
173	#11718469	C₂²	1	1	yes	characteristic, complemented
174	#11718468	C₂²	1	1	yes	characteristic, complemented
175	#11718468	C₂²	1	1	yes	characteristic, complemented
176	D₁₃×#103	C₂²	1	1	yes	characteristic, complemented
177	D₁₃×#103	C₂²	1	1	yes	characteristic, complemented
178	D₁₃×#103	C₂²	1	1	yes	characteristic, complemented
179	#11718459	C₂²	1	1	yes	characteristic, complemented
180	#11718449	C₂²	1	1	yes	characteristic, complemented
181	#11718448	C₂²	1	1	yes	characteristic, complemented
182	#11718444	C₂²	1	1	yes	characteristic, complemented
183	#11718442	C₂²	1	1	yes	characteristic, complemented
184	#11718439	C₂²	1	1	yes	characteristic, complemented
185	#11718439	C₂²	1	1	yes	characteristic, complemented
186	#11718434	C₂²	1	1	yes	characteristic, complemented
187	#11718434	C₂²	1	1	yes	characteristic, complemented
188	D₁₃×#102	C₂²	1	1	yes	characteristic
189	D₁₃×#102	C₂²	1	1	yes	characteristic
190	D₁₃×#102	C₂²	1	1	yes	characteristic, complemented
191	#11718428	C₂²	1	1	yes	characteristic, complemented
192	#11718419	C₂²	1	1	yes	characteristic, complemented
193	#11718400	C₂²	1	1	yes	characteristic, complemented
194	#11718395	C₂²	1	1	yes	characteristic, complemented
195	#11718394	C₂²	1	1	yes	characteristic, complemented
196	#11718393	C₂²	1	1	yes	characteristic, complemented
197	#11718386	C₂²	1	1	yes	characteristic, complemented
198	#11718386	C₂²	1	1	yes	characteristic, complemented
199	D₁₃×C₂²⋊C₈	C₂²	1	1	yes	characteristic
200	D₁₃×C₂²⋊C₈	C₂²	1	1	yes	characteristic, complemented
201	#11718357	C₂²	1	1	yes	characteristic, complemented
202	C₄×#6095	C₂²	1	1	yes	characteristic, complemented
203	C₈×D₅₂	C₂²	1	1	yes	characteristic, complemented
204	C₄×C₈×D₁₃	C₂²	1	1	yes	characteristic, complemented
205	C₂⁴×D₁₃	—	2	1	no	—
206	C₂×C₁₃×#41	C₂³	1	1	yes	characteristic
207	C₂×C₁₃×#41	C₂³	1	1	yes	characteristic, complemented
208	C₂²×Q₈×C₁₃	C₂³	1	1	yes	characteristic
209	C₂²×D₄×C₁₃	C₂³	1	1	yes	characteristic
210	C₂²×C₂²⋊D₁₃	—	2	1	no	—
211	#41×D₁₃	—	2	4	no	—
212	#41×D₁₃	—	2	4	no	—
213	#41×D₁₃	—	4	2	no	—
214	#41×D₁₃	—	4	2	no	—
215	C₂×#6131	C₂³	1	1	yes	characteristic
216	C₂×#6131	C₂³	1	1	yes	characteristic, complemented
217	C₂×Q₈×D₁₃	—	2	1	no	—
218	C₂×Q₈×D₁₃	—	2	1	no	—
219	C₂×Q₈×D₁₃	—	2	4	no	—
220	C₂×Q₈×D₁₃	—	4	2	no	—
221	C₂×Q₈×D₁₃	C₂³	1	1	yes	characteristic
222	C₂×Q₈×D₁₃	C₂³	1	1	yes	characteristic
223	C₂×Q₈×D₁₃	C₂³	1	1	yes	characteristic
224	C₂×Q₈×D₁₃	C₂³	1	1	yes	characteristic
225	C₂×Q₈×D₁₃	C₂³	1	1	yes	characteristic
226	C₂×#6129	—	2	1	no	—
227	C₂×#6129	—	2	1	no	—
228	C₂×#6129	C₂³	1	1	yes	characteristic
229	C₂×#6129	C₂³	1	1	yes	characteristic, complemented
230	C₂×D₄×D₁₃	—	2	4	no	—
231	C₂×D₄×D₁₃	—	2	1	no	—
232	C₂×D₄×D₁₃	—	2	1	no	—
233	C₂×D₄×D₁₃	—	2	1	no	—
234	C₂×D₄×D₁₃	—	2	1	no	—
235	C₂×D₄×D₁₃	—	2	1	no	—
236	C₂×D₄×D₁₃	—	2	1	no	—
237	C₂×D₄×D₁₃	—	4	2	no	—
238	C₂×D₄×D₁₃	D₄	1	1	yes	characteristic
239	C₂×D₄×D₁₃	C₂³	1	1	yes	characteristic
240	C₂×D₄×D₁₃	C₂³	1	1	yes	characteristic
241	C₂×D₄×D₁₃	C₂³	1	1	yes	characteristic
242	C₂×D₄×D₁₃	C₂³	1	1	yes	characteristic
243	C₂×D₄×D₁₃	C₂³	1	1	yes	characteristic
244	C₂×#6127	—	2	1	no	—
245	C₂×#6127	—	2	1	no	—
246	C₂×#6127	C₂³	1	1	yes	characteristic
247	C₂×#6127	C₂³	1	1	yes	characteristic, complemented
248	C₂²×D₅₂	C₂³	1	1	yes	characteristic
249	C₂²×C₄×D₁₃	—	2	1	no	—
250	C₂²×C₄×D₁₃	—	2	1	no	—
251	C₂²×C₄×D₁₃	—	2	1	no	—
252	C₂²×C₄×D₁₃	—	2	1	no	—
253	C₂²×C₄×D₁₃	C₂³	1	1	yes	characteristic
254	C₂²×C₄×D₁₃	C₂³	1	1	yes	characteristic
255	C₂²×Dic₂₆	—	2	1	no	—
256	C₂²×Dic₂₆	C₂³	1	1	yes	characteristic
257	C₁₃×#135	—	2	4	no	—
258	C₂×C₁₃×Q₁₆	C₂³	1	1	yes	characteristic, complemented
259	C₂×C₁₃×Q₁₆	C₂³	1	1	yes	characteristic, complemented
260	C₂×C₁₃×SD₁₆	—	2	4	no	—
261	C₂×C₁₃×SD₁₆	C₂³	1	1	yes	characteristic
262	C₂×C₁₃×SD₁₆	C₂³	1	1	yes	characteristic
263	C₂×C₁₃×SD₁₆	C₂³	1	1	yes	characteristic
264	C₂×C₁₃×SD₁₆	C₂³	1	1	yes	characteristic
265	C₂×C₁₃×SD₁₆	C₂³	1	1	yes	characteristic, complemented
266	C₂×C₁₃×D₈	C₂³	1	1	yes	characteristic
267	C₂×C₁₃×D₈	C₂³	1	1	yes	characteristic
268	C₂²×C₈×C₁₃	C₂³	1	1	yes	characteristic
269	C₂²×C₈×C₁₃	C₂³	1	1	yes	characteristic, complemented
270	C₁₃×#124	—	2	1	no	—
271	C₁₃×#124	C₂³	1	1	yes	characteristic
272	C₁₃×#124	C₂³	1	1	yes	characteristic, complemented
273	C₁₃×#123	—	2	1	no	—
274	C₁₃×C₂²⋊Q₈	—	2	1	no	—
275	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
276	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic, complemented
277	C₁₃×#121	—	2	1	no	—
278	C₁₃×#121	—	2	1	no	—
279	C₁₃×#121	C₂³	1	1	yes	characteristic
280	C₁₃×#121	C₂³	1	1	yes	characteristic
281	C₁₃×#120	—	2	1	no	—
282	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic, complemented
283	C₄×D₄×C₁₃	—	2	1	no	—
284	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
285	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
286	C₂×C₁₃×C₂²⋊C₄	—	2	1	no	—
287	#88207	—	2	1	no	—
288	C₂×C₂²⋊Dic₁₃	—	2	1	no	—
289	#88204	—	2	4	no	—
290	#88204	—	2	4	no	—
291	#88201	—	2	1	no	—
292	#88201	C₂³	1	1	yes	characteristic
293	#88201	C₂³	1	1	yes	characteristic, complemented
294	#88200	—	2	1	no	—
295	#88200	C₂³	1	1	yes	characteristic
296	#88200	C₂³	1	1	yes	characteristic, complemented
297	Q₈×Dic₁₃	C₂³	1	1	yes	characteristic, complemented
298	C₂×#6107	C₂³	1	1	yes	characteristic, complemented
299	C₂×#6107	C₂³	1	1	yes	characteristic, complemented
300	C₂×#6107	C₂³	1	1	yes	characteristic, complemented
301	C₂×#6107	C₂³	1	1	yes	characteristic, complemented
302	C₂×#6106	—	2	4	no	—
303	C₂×#6106	C₂³	1	1	yes	characteristic
304	C₂×#6106	C₂³	1	1	yes	characteristic
305	C₂×#6106	C₂³	1	1	yes	characteristic
306	C₂×#6106	C₂³	1	1	yes	characteristic
307	C₂×#6106	C₂³	1	1	yes	characteristic, complemented
308	#88193	—	2	1	no	—
309	#88193	—	2	1	no	—
310	#88193	—	2	1	no	—
311	#88193	—	2	1	no	—
312	#88193	—	2	1	no	—
313	#88193	—	2	1	no	—
314	#88192	—	2	1	no	—
315	#88192	—	2	1	no	—
316	#88192	C₂³	1	1	yes	characteristic
317	#88192	C₂³	1	1	yes	characteristic
318	#88191	—	2	1	no	—
319	#88191	—	2	1	no	—
320	#88191	—	2	1	no	—
321	#88190	—	2	1	no	—
322	#88190	C₂³	1	1	yes	characteristic
323	#88190	C₂³	1	1	yes	characteristic, complemented
324	#88189	—	2	1	no	—
325	D₄×Dic₁₃	—	2	1	no	—
326	D₄×Dic₁₃	D₄	1	1	yes	characteristic
327	D₄×Dic₁₃	C₂³	1	1	yes	characteristic
328	C₂×#6105	—	2	4	no	—
329	C₂×#6105	C₂³	1	1	yes	characteristic
330	C₂×#6105	C₂³	1	1	yes	characteristic
331	C₂×#6105	C₂³	1	1	yes	characteristic
332	C₂×#6105	C₂³	1	1	yes	characteristic
333	C₂×#6105	C₂³	1	1	yes	characteristic, complemented
334	C₂×#6104	C₂³	1	1	yes	characteristic
335	C₂×#6104	C₂³	1	1	yes	characteristic
336	C₂×#6104	C₂³	1	1	yes	characteristic
337	C₂×#6104	C₂³	1	1	yes	characteristic
338	#88184	—	2	1	no	—
339	#88184	—	2	1	no	—
340	#88184	C₂³	1	1	yes	characteristic
341	#88184	C₂³	1	1	yes	characteristic
342	#88183	—	2	1	no	—
343	C₄×C₂²⋊D₁₃	—	2	1	no	—
344	C₄×C₂²⋊D₁₃	—	2	1	no	—
345	C₄×C₂²⋊D₁₃	—	2	1	no	—
346	C₄×C₂²⋊D₁₃	C₂³	1	1	yes	characteristic
347	C₄×C₂²⋊D₁₃	C₂³	1	1	yes	characteristic
348	C₂×#6103	—	2	1	no	—
349	C₂×#6103	—	2	1	no	—
350	#88178	—	2	1	no	—
351	#88178	C₂³	1	1	yes	characteristic
352	#88178	C₂³	1	1	yes	characteristic, complemented
353	C₂²×#1055	C₂³	1	1	yes	characteristic
354	C₂²×#1055	C₂³	1	1	yes	characteristic, complemented
355	#88173	—	2	4	no	—
356	Q₁₆×D₁₃	—	2	4	no	—
357	Q₁₆×D₁₃	—	4	2	no	—
358	#88170	—	2	4	no	—
359	#88170	—	2	4	no	—
360	SD₁₆×D₁₃	—	2	4	no	—
361	SD₁₆×D₁₃	—	2	4	no	—
362	SD₁₆×D₁₃	—	2	4	no	—
363	SD₁₆×D₁₃	—	2	4	no	—
364	SD₁₆×D₁₃	—	2	4	no	—
365	SD₁₆×D₁₃	—	2	4	no	—
366	SD₁₆×D₁₃	—	2	4	no	—
367	SD₁₆×D₁₃	—	2	4	no	—
368	SD₁₆×D₁₃	D₄	1	8	yes	complemented
369	#88166	—	2	4	no	—
370	D₈×D₁₃	—	2	4	no	—
371	D₈×D₁₃	—	4	2	no	—
372	C₂×Dic₅₂	C₂³	1	1	yes	characteristic, complemented
373	C₂×Dic₅₂	C₂³	1	1	yes	characteristic, complemented
374	#88158	—	2	4	no	—
375	C₂×D₁₀₄	C₂³	1	1	yes	characteristic
376	C₂×D₁₀₄	C₂³	1	1	yes	characteristic
377	C₂×#6095	—	2	4	no	—
378	C₂×#6095	C₂³	1	1	yes	characteristic
379	C₂×#6095	C₂³	1	1	yes	characteristic
380	C₂×#6095	C₂³	1	1	yes	characteristic
381	C₂×#6095	C₂³	1	1	yes	characteristic
382	C₂×#6095	C₂³	1	1	yes	characteristic, complemented
383	C₂×C₈×D₁₃	—	2	4	no	—
384	C₂×C₈×D₁₃	—	2	4	no	—
385	C₂×C₈×D₁₃	C₂³	1	1	yes	characteristic
386	C₂×C₈×D₁₃	C₂³	1	1	yes	characteristic
387	C₂×C₈×D₁₃	C₂³	1	1	yes	characteristic
388	C₂×C₈×D₁₃	C₂³	1	1	yes	characteristic
389	C₂×C₈×D₁₃	C₂³	1	1	yes	characteristic
390	C₂×C₈×D₁₃	C₂³	1	1	yes	characteristic
391	C₂×C₈×D₁₃	C₂³	1	1	yes	characteristic, complemented
392	C₂×C₈×D₁₃	C₂³	1	1	yes	characteristic, complemented
393	#88151	—	2	1	no	—
394	#88151	C₂³	1	1	yes	characteristic
395	#88151	C₂³	1	1	yes	characteristic, complemented
396	#88150	—	2	1	no	—
397	#88150	—	2	1	no	—
398	#88150	—	2	1	no	—
399	#88150	—	2	1	no	—
400	#88149	—	2	1	no	—
401	#88149	—	2	1	no	—
402	#88149	C₂³	1	1	yes	characteristic
403	#88149	C₂³	1	1	yes	characteristic
404	#88148	—	2	1	no	—
405	#88148	—	2	1	no	—
406	#88147	—	2	1	no	—
407	#88147	D₄	1	1	yes	characteristic
408	#88147	C₂³	1	1	yes	characteristic
409	C₄⋊C₄×D₁₃	—	2	1	no	—
410	C₄⋊C₄×D₁₃	—	2	1	no	—
411	C₄⋊C₄×D₁₃	—	2	1	no	—
412	C₄⋊C₄×D₁₃	D₄	1	1	yes	characteristic
413	C₄⋊C₄×D₁₃	C₂³	1	1	yes	characteristic
414	C₄⋊C₄×D₁₃	C₂³	1	1	yes	characteristic
415	#88141	—	2	1	no	—
416	#88141	C₂³	1	1	yes	characteristic, complemented
417	#88140	—	2	1	no	—
418	#88139	—	2	1	no	—
419	#88139	—	2	1	no	—
420	#88139	—	2	1	no	—
421	#88139	—	2	1	no	—
422	#88139	—	2	1	no	—
423	#88139	—	2	1	no	—
424	#88139	—	2	1	no	—
425	#88139	—	2	1	no	—
426	#88138	—	2	1	no	—
427	#88138	—	2	1	no	—
428	#88138	—	2	1	no	—
429	#88138	—	2	1	no	—
430	#88138	—	2	1	no	—
431	#88138	—	2	1	no	—
432	#88137	—	2	1	no	—
433	#88137	—	2	1	no	—
434	#88136	—	2	1	no	—
435	#88136	—	2	1	no	—
436	#88136	—	2	1	no	—
437	#88135	—	2	1	no	—
438	#88135	—	2	1	no	—
439	#88135	—	2	1	no	—
440	#88135	D₄	1	1	yes	characteristic
441	#88135	D₄	1	1	yes	characteristic
442	C₂²⋊C₄×D₁₃	—	2	1	no	—
443	C₂²⋊C₄×D₁₃	—	2	1	no	—
444	C₂²⋊C₄×D₁₃	—	2	1	no	—
445	C₂²⋊C₄×D₁₃	—	2	1	no	—
446	C₂²⋊C₄×D₁₃	—	2	1	no	—
447	C₂²⋊C₄×D₁₃	—	2	1	no	—
448	C₂²⋊C₄×D₁₃	—	2	1	no	—
449	C₂²⋊C₄×D₁₃	—	2	1	no	—
450	C₂²⋊C₄×D₁₃	—	2	1	no	—
451	C₂²⋊C₄×D₁₃	—	2	1	no	—
452	C₂²⋊C₄×D₁₃	—	2	1	no	—
453	C₂²⋊C₄×D₁₃	—	2	1	no	—
454	C₂²⋊C₄×D₁₃	—	2	1	no	—
455	C₂²⋊C₄×D₁₃	D₄	1	1	yes	characteristic
456	C₂²⋊C₄×D₁₃	D₄	1	1	yes	characteristic
457	#88132	—	2	1	no	—
458	#88132	—	2	1	no	—
459	#88132	—	2	1	no	—
460	#88132	—	2	1	no	—
461	#88129	—	2	1	no	—
462	#88129	C₂³	1	1	yes	characteristic
463	#88129	C₂³	1	1	yes	characteristic, complemented
464	C₄×D₅₂	—	2	1	no	—
465	C₄×D₅₂	C₂³	1	1	yes	characteristic
466	C₄×D₅₂	C₂³	1	1	yes	characteristic
467	C₄²×D₁₃	—	2	1	no	—
468	C₄²×D₁₃	C₂³	1	1	yes	characteristic
469	C₄×Dic₂₆	—	2	1	no	—
470	C₄×Dic₂₆	C₂³	1	1	yes	characteristic, complemented
471	C₁₃×#106	C₂³	1	1	yes	characteristic, complemented
472	C₁₃×C₄⋊C₈	C₂³	1	1	yes	characteristic, complemented
473	C₁₃×#103	C₂³	1	1	yes	characteristic, complemented
474	C₁₃×#103	C₂³	1	1	yes	characteristic, complemented
475	C₁₃×#103	C₂³	1	1	yes	characteristic, complemented
476	C₁₃×#102	C₂³	1	1	yes	characteristic
477	C₁₃×#102	C₂³	1	1	yes	characteristic
478	C₁₃×#102	C₂³	1	1	yes	characteristic, complemented
479	C₁₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
480	C₁₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic, complemented
481	C₄×C₈×C₁₃	C₂³	1	1	yes	characteristic, complemented
482	#88075	C₂³	1	1	yes	characteristic, complemented
483	#88075	C₂³	1	1	yes	characteristic, complemented
484	#88075	C₂³	1	1	yes	characteristic, complemented
485	#88072	C₂³	1	1	yes	characteristic
486	#88072	C₂³	1	1	yes	characteristic
487	#88072	C₂³	1	1	yes	characteristic, complemented
488	C₂²⋊#1055	C₂³	1	1	yes	characteristic
489	C₂²⋊#1055	C₂³	1	1	yes	characteristic, complemented
490	#88061	C₂³	1	1	yes	characteristic
491	#88061	C₂³	1	1	yes	characteristic
492	#88061	C₂³	1	1	yes	characteristic, complemented
493	#88060	C₂³	1	1	yes	characteristic
494	#88060	C₂³	1	1	yes	characteristic
495	#88060	C₂³	1	1	yes	characteristic, complemented
496	#88060	C₂³	1	1	yes	characteristic, complemented
497	#88057	C₂³	1	1	yes	characteristic, complemented
498	#88056	C₂³	1	1	yes	characteristic, complemented
499	#88056	C₂³	1	1	yes	characteristic, complemented
500	#88056	C₂³	1	1	yes	characteristic, complemented
501	#88054	C₂³	1	1	yes	characteristic, complemented
502	#88054	C₂³	1	1	yes	characteristic, complemented
503	C₈×Dic₁₃	C₂³	1	1	yes	characteristic, complemented
504	C₈×Dic₁₃	C₂³	1	1	yes	characteristic, complemented
505	#88050	C₂³	1	1	yes	characteristic, complemented
506	#88050	C₂³	1	1	yes	characteristic, complemented
507	#88050	C₂³	1	1	yes	characteristic, complemented
508	#88049	C₂³	1	1	yes	characteristic
509	#88049	C₂³	1	1	yes	characteristic
510	#88049	C₂³	1	1	yes	characteristic, complemented
511	#88048	C₂³	1	1	yes	characteristic, complemented
512	#88048	C₂³	1	1	yes	characteristic, complemented
513	C₄⋊#1055	C₂³	1	1	yes	characteristic, complemented
514	C₄×#1055	C₂³	1	1	yes	characteristic, complemented
515	C₂×#3282	—	13	1	no	maximal, Sylow
516	C₂⁴×C₁₃	—	2	1	no	—
517	C₂³×D₁₃	—	2	1	no	—
518	C₂³×D₁₃	—	2	1	no	—
519	C₂³×D₁₃	—	2	1	no	—
520	C₂³×D₁₃	—	2	1	no	—
521	C₂³×D₁₃	—	2	1	no	—
522	C₂³×D₁₃	—	2	1	no	—
523	C₂³×D₁₃	—	4	4	no	—
524	C₂³×D₁₃	—	4	4	no	—
525	C₂³×D₁₃	—	8	2	no	—
526	C₂³×D₁₃	C₂×D₄	1	1	yes	characteristic
527	C₂³×D₁₃	C₂×D₄	1	1	yes	characteristic
528	C₁₃×#41	—	2	2	no	—
529	C₁₃×#41	—	2	2	no	—
530	C₁₃×#41	—	4	1	no	—
531	C₁₃×#41	—	4	1	no	—
532	C₂×Q₈×C₁₃	—	2	1	no	—
533	C₂×Q₈×C₁₃	—	2	2	no	—
534	C₂×Q₈×C₁₃	—	4	1	no	—
535	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
536	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
537	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
538	C₂×D₄×C₁₃	—	2	2	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	—	4	1	no	—
545	C₂×D₄×C₁₃	C₂×D₄	1	1	yes	characteristic
546	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
547	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
548	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
549	C₂²×C₄×C₁₃	—	2	1	no	—
550	C₂²×C₄×C₁₃	—	2	1	no	—
551	C₂²×C₄×C₁₃	—	2	1	no	—
552	C₂²×C₄×C₁₃	—	2	1	no	—
553	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
554	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
555	C₂×C₂²⋊D₁₃	—	2	1	no	—
556	C₂×C₂²⋊D₁₃	—	2	1	no	—
557	C₂×C₂²⋊D₁₃	—	2	1	no	—
558	C₂×C₂²⋊D₁₃	—	2	1	no	—
559	C₂×C₂²⋊D₁₃	—	2	1	no	—
560	C₂×C₂²⋊D₁₃	—	2	1	no	—
561	C₂×C₂²⋊D₁₃	—	2	1	no	—
562	C₂×C₂²⋊D₁₃	—	2	1	no	—
563	C₂×C₂²⋊D₁₃	—	2	1	no	—
564	C₂×C₂²⋊D₁₃	—	2	1	no	—
565	C₂×C₂²⋊D₁₃	—	2	1	no	—
566	C₂×C₂²⋊D₁₃	—	2	1	no	—
567	C₂×C₂²⋊D₁₃	—	2	1	no	—
568	C₂×C₂²⋊D₁₃	—	4	4	no	—
569	C₂×C₂²⋊D₁₃	C₂×D₄	1	1	yes	characteristic
570	C₂×C₂²⋊D₁₃	C₂×D₄	1	1	yes	characteristic
571	C₂²×Dic₁₃	—	2	1	no	—
572	C₂²×Dic₁₃	—	2	1	no	—
573	C₂²×Dic₁₃	—	2	1	no	—
574	C₂²×Dic₁₃	—	2	1	no	—
575	C₂²×Dic₁₃	C₂×D₄	1	1	yes	characteristic
576	C₂²×Dic₁₃	C₂×D₄	1	1	yes	characteristic
577	#6131	—	2	2	no	—
578	#6131	—	2	2	no	—
579	#6131	—	4	1	no	—
580	#6131	—	4	1	no	—
581	Q₈×D₁₃	—	2	2	no	—
582	Q₈×D₁₃	—	2	2	no	—
583	Q₈×D₁₃	—	2	2	no	—
584	Q₈×D₁₃	—	2	2	no	—
585	Q₈×D₁₃	—	2	2	no	—
586	Q₈×D₁₃	—	2	2	no	—
587	Q₈×D₁₃	—	2	2	no	—
588	Q₈×D₁₃	—	4	1	no	—
589	Q₈×D₁₃	—	4	1	no	—
590	Q₈×D₁₃	—	4	4	no	—
591	Q₈×D₁₃	—	4	4	no	—
592	Q₈×D₁₃	C₂×D₄	1	4	yes	—
593	#6129	—	2	2	no	—
594	#6129	—	2	2	no	—
595	#6129	—	4	1	no	—
596	#6129	—	4	1	no	—
597	#6129	—	4	4	no	—
598	#6129	—	4	4	no	—
599	D₄×D₁₃	—	2	4	no	—
600	D₄×D₁₃	—	2	2	no	—
601	D₄×D₁₃	—	2	2	no	—
602	D₄×D₁₃	—	2	2	no	—
603	D₄×D₁₃	—	2	2	no	—
604	D₄×D₁₃	—	2	2	no	—
605	D₄×D₁₃	—	2	2	no	—
606	D₄×D₁₃	—	2	2	no	—
607	D₄×D₁₃	—	4	1	no	—
608	D₄×D₁₃	—	4	1	no	—
609	D₄×D₁₃	—	4	4	no	—
610	D₄×D₁₃	—	4	4	no	—
611	D₄×D₁₃	—	4	4	no	—
612	D₄×D₁₃	—	4	4	no	—
613	D₄×D₁₃	—	4	4	no	—
614	D₄×D₁₃	—	8	2	no	—
615	D₄×D₁₃	C₂×D₄	1	4	yes	—
616	#6127	—	2	2	no	—
617	#6127	—	2	2	no	—
618	#6127	—	4	4	no	—
619	#6127	—	4	1	no	—
620	#6127	—	4	1	no	—
621	#6127	—	4	4	no	—
622	C₂×D₅₂	—	2	2	no	—
623	C₂×D₅₂	—	2	1	no	—
624	C₂×D₅₂	—	2	1	no	—
625	C₂×D₅₂	—	2	1	no	—
626	C₂×D₅₂	—	2	1	no	—
627	C₂×D₅₂	—	2	1	no	—
628	C₂×D₅₂	—	4	1	no	—
629	C₂×D₅₂	C₂×D₄	1	1	yes	characteristic
630	C₂×D₅₂	C₂⁴	1	1	yes	characteristic
631	C₂×D₅₂	C₂⁴	1	1	yes	characteristic
632	C₂×D₅₂	C₂⁴	1	1	yes	characteristic
633	C₂×C₄×D₁₃	—	2	1	no	—
634	C₂×C₄×D₁₃	—	2	2	no	—
635	C₂×C₄×D₁₃	—	2	2	no	—
636	C₂×C₄×D₁₃	—	2	2	no	—
637	C₂×C₄×D₁₃	—	2	2	no	—
638	C₂×C₄×D₁₃	—	2	1	no	—
639	C₂×C₄×D₁₃	—	2	1	no	—
640	C₂×C₄×D₁₃	—	2	1	no	—
641	C₂×C₄×D₁₃	—	2	1	no	—
642	C₂×C₄×D₁₃	—	2	1	no	—
643	C₂×C₄×D₁₃	—	2	1	no	—
644	C₂×C₄×D₁₃	—	2	1	no	—
645	C₂×C₄×D₁₃	—	2	1	no	—
646	C₂×C₄×D₁₃	—	2	1	no	—
647	C₂×C₄×D₁₃	—	2	1	no	—
648	C₂×C₄×D₁₃	—	2	1	no	—
649	C₂×C₄×D₁₃	—	2	1	no	—
650	C₂×C₄×D₁₃	—	4	4	no	—
651	C₂×C₄×D₁₃	—	4	4	no	—
652	C₂×C₄×D₁₃	—	4	4	no	—
653	C₂×C₄×D₁₃	—	8	2	no	—
654	C₂×C₄×D₁₃	C₂×D₄	1	1	yes	characteristic
655	C₂×C₄×D₁₃	C₂×D₄	1	1	yes	characteristic
656	C₂×C₄×D₁₃	C₂×D₄	1	1	yes	characteristic
657	C₂×C₄×D₁₃	C₂×D₄	1	1	yes	characteristic
658	C₂×C₄×D₁₃	C₂×D₄	1	1	yes	characteristic
659	C₂×C₄×D₁₃	C₂×D₄	1	1	yes	characteristic
660	C₂×C₄×D₁₃	C₂⁴	1	1	yes	characteristic
661	C₂×C₄×D₁₃	C₂⁴	1	1	yes	characteristic
662	C₂×C₄×D₁₃	C₂⁴	1	1	yes	characteristic
663	C₂×Dic₂₆	—	2	1	no	—
664	C₂×Dic₂₆	—	2	2	no	—
665	C₂×Dic₂₆	—	2	1	no	—
666	C₂×Dic₂₆	—	2	1	no	—
667	C₂×Dic₂₆	—	2	1	no	—
668	C₂×Dic₂₆	—	2	1	no	—
669	C₂×Dic₂₆	—	2	1	no	—
670	C₂×Dic₂₆	—	4	1	no	—
671	C₂×Dic₂₆	—	4	4	no	—
672	C₂×Dic₂₆	C₂⁴	1	1	yes	characteristic
673	C₂×Dic₂₆	C₂⁴	1	1	yes	characteristic
674	C₂×Dic₂₆	C₂⁴	1	1	yes	characteristic
675	C₁₃×Q₁₆	—	2	2	no	—
676	C₁₃×Q₁₆	—	4	1	no	—
677	C₁₃×SD₁₆	—	2	2	no	—
678	C₁₃×SD₁₆	—	2	2	no	—
679	C₁₃×SD₁₆	—	2	2	no	—
680	C₁₃×SD₁₆	—	2	2	no	—
681	C₁₃×SD₁₆	C₂×D₄	1	4	yes	complemented
682	C₁₃×D₈	—	2	2	no	—
683	C₁₃×D₈	—	4	1	no	—
684	C₂×C₈×C₁₃	—	2	2	no	—
685	C₂×C₈×C₁₃	—	2	2	no	—
686	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
687	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
688	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
689	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
690	C₁₃×C₄⋊C₄	—	2	1	no	—
691	C₁₃×C₄⋊C₄	—	2	1	no	—
692	C₁₃×C₄⋊C₄	—	2	1	no	—
693	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
694	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
695	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
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	C₂×D₄	1	1	yes	characteristic
706	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
707	C₄²×C₁₃	—	2	1	no	—
708	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
709	C₂²⋊Dic₁₃	—	2	1	no	—
710	C₂²⋊Dic₁₃	—	2	1	no	—
711	C₂²⋊Dic₁₃	—	2	1	no	—
712	C₂²⋊Dic₁₃	—	2	1	no	—
713	C₂²⋊Dic₁₃	—	2	1	no	—
714	C₂²⋊Dic₁₃	—	2	1	no	—
715	C₂²⋊Dic₁₃	—	2	1	no	—
716	C₂²⋊Dic₁₃	—	2	1	no	—
717	C₂²⋊Dic₁₃	—	2	1	no	—
718	C₂²⋊Dic₁₃	C₂×D₄	1	1	yes	characteristic
719	C₂²⋊Dic₁₃	C₂×D₄	1	1	yes	characteristic
720	#6107	—	2	2	no	—
721	#6107	—	2	2	no	—
722	#6107	—	4	1	no	—
723	#6107	—	4	1	no	—
724	#6106	—	2	2	no	—
725	#6106	—	2	2	no	—
726	#6106	—	2	2	no	—
727	#6106	—	2	2	no	—
728	#6106	C₂×D₄	1	4	yes	complemented
729	#6105	—	2	2	no	—
730	#6105	—	2	2	no	—
731	#6105	—	2	2	no	—
732	#6105	—	2	2	no	—
733	#6105	C₂×D₄	1	4	yes	complemented
734	#6104	—	2	2	no	—
735	#6104	—	2	2	no	—
736	#6104	—	4	1	no	—
737	#6104	—	4	1	no	—
738	#6103	—	2	1	no	—
739	#6103	—	2	1	no	—
740	#6103	—	2	1	no	—
741	#6103	—	2	1	no	—
742	#6103	—	2	1	no	—
743	#6103	—	2	1	no	—
744	#6103	—	2	1	no	—
745	#6103	—	2	1	no	—
746	#6103	—	2	1	no	—
747	#6103	—	2	1	no	—
748	#6103	—	2	1	no	—
749	#6103	—	2	1	no	—
750	#6103	—	2	1	no	—
751	#6103	—	2	1	no	—
752	#6103	—	2	1	no	—
753	#6103	—	2	1	no	—
754	#6103	—	2	1	no	—
755	#6103	—	2	1	no	—
756	#6103	C₂×D₄	1	1	yes	characteristic
757	#6103	C₂×D₄	1	1	yes	characteristic
758	#6103	C₂×D₄	1	1	yes	characteristic
759	#6103	C₂×D₄	1	1	yes	characteristic
760	C₄⋊Dic₁₃	—	2	1	no	—
761	C₄⋊Dic₁₃	—	2	1	no	—
762	C₄⋊Dic₁₃	—	2	1	no	—
763	C₄⋊Dic₁₃	C₂×D₄	1	1	yes	characteristic
764	C₄⋊Dic₁₃	C₂⁴	1	1	yes	characteristic
765	C₄⋊Dic₁₃	C₂⁴	1	1	yes	characteristic
766	#6101	—	2	1	no	—
767	#6101	—	2	1	no	—
768	#6101	—	2	1	no	—
769	#6101	—	2	1	no	—
770	#6101	—	2	1	no	—
771	#6101	—	2	1	no	—
772	#6101	—	2	1	no	—
773	#6101	—	2	1	no	—
774	#6101	C₂×D₄	1	1	yes	characteristic
775	#6101	C₂×D₄	1	1	yes	characteristic
776	C₄×Dic₁₃	—	2	1	no	—
777	C₄×Dic₁₃	—	2	1	no	—
778	C₄×Dic₁₃	—	2	1	no	—
779	C₄×Dic₁₃	C₂×D₄	1	1	yes	characteristic
780	C₄×Dic₁₃	C₂×D₄	1	1	yes	characteristic
781	C₄×Dic₁₃	C₂⁴	1	1	yes	characteristic
782	C₂×#1055	—	2	2	no	—
783	C₂×#1055	—	2	2	no	—
784	C₂×#1055	C₂⁴	1	1	yes	characteristic
785	C₂×#1055	C₂⁴	1	1	yes	characteristic
786	C₂×#1055	C₂⁴	1	1	yes	characteristic
787	C₂×#1055	C₂⁴	1	1	yes	characteristic
788	Dic₅₂	—	2	2	no	—
789	Dic₅₂	—	4	1	no	—
790	D₁₀₄	—	2	2	no	—
791	D₁₀₄	—	4	1	no	—
792	#6095	—	2	2	no	—
793	#6095	—	2	2	no	—
794	#6095	—	2	2	no	—
795	#6095	—	2	2	no	—
796	#6095	C₂×D₄	1	4	yes	complemented
797	C₈×D₁₃	—	2	2	no	—
798	C₈×D₁₃	—	2	2	no	—
799	C₈×D₁₃	—	2	2	no	—
800	C₈×D₁₃	—	2	2	no	—
801	C₈×D₁₃	—	2	2	no	—
802	C₈×D₁₃	—	2	2	no	—
803	C₈×D₁₃	—	2	2	no	—
804	C₈×D₁₃	C₂×D₄	1	4	yes	—
805	C₂²×#135	—	13	1	no	—
806	C₂³×SD₁₆	—	13	1	no	—
807	C₂×#548	—	13	1	no	—
808	C₂×#546	—	13	1	no	—
809	#3282	—	13	1	no	—
810	#3282	—	13	1	no	—
811	#3282	—	13	1	no	—
812	#3282	—	13	1	no	—
813	#3282	—	13	1	no	—
814	#3282	—	13	1	no	—
815	#3282	—	13	1	no	—
816	#3282	—	13	1	no	—
817	#3282	—	13	1	no	—
818	#3282	—	13	1	no	—
819	#3282	—	13	1	no	—
820	#3282	—	13	1	no	—
821	#3282	—	13	1	no	—
822	#3282	—	13	1	no	—
823	#3282	—	13	1	no	—
824	#3282	D₁₃	1	1	yes	characteristic, direct product factor
825	C₂×#495	—	13	1	no	—
826	C₂×#465	—	13	1	no	—
827	C₂×#465	—	13	1	no	—
828	C₂×#464	—	13	1	no	—
829	C₂×#463	—	13	1	no	—
830	C₂×#452	—	13	1	no	—
831	C₂×#449	—	13	1	no	—
832	C₂×#451	—	13	1	no	—
833	C₂×#447	—	13	1	no	—
834	C₂×C₄×SD₁₆	—	13	1	no	—
835	C₂×C₈×D₄	—	13	1	no	—
836	C₂³×C₁₃	—	2	1	no	—
837	C₂³×C₁₃	—	2	1	no	—
838	C₂³×C₁₃	—	2	1	no	—
839	C₂³×C₁₃	—	4	2	no	—
840	C₂³×C₁₃	—	4	2	no	—
841	C₂³×C₁₃	—	8	1	no	—
842	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
843	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
844	C₂²×D₁₃	—	2	2	no	—
845	C₂²×D₁₃	—	2	2	no	—
846	C₂²×D₁₃	—	2	1	no	—
847	C₂²×D₁₃	—	2	2	no	—
848	C₂²×D₁₃	—	2	4	no	—
849	C₂²×D₁₃	—	2	2	no	—
850	C₂²×D₁₃	—	2	2	no	—
851	C₂²×D₁₃	—	2	1	no	—
852	C₂²×D₁₃	—	2	1	no	—
853	C₂²×D₁₃	—	4	2	no	—
854	C₂²×D₁₃	—	4	2	no	—
855	C₂²×D₁₃	—	4	2	no	—
856	C₂²×D₁₃	—	4	2	no	—
857	C₂²×D₁₃	—	4	2	no	—
858	C₂²×D₁₃	—	4	2	no	—
859	C₂²×D₁₃	—	4	2	no	—
860	C₂²×D₁₃	—	4	2	no	—
861	C₂²×D₁₃	—	4	2	no	—
862	C₂²×D₁₃	—	4	2	no	—
863	C₂²×D₁₃	—	4	2	no	—
864	C₂²×D₁₃	—	4	2	no	—
865	C₂²×D₁₃	—	4	2	no	—
866	C₂²×D₁₃	—	4	2	no	—
867	C₂²×D₁₃	—	8	1	no	—
868	C₂²×D₁₃	—	8	1	no	—
869	C₂²×D₁₃	—	8	16	no	—
870	C₂²×D₁₃	—	8	1	no	—
871	C₂²×D₁₃	#135	1	4	yes	complemented
872	C₂²×D₁₃	C₂²×D₄	1	1	yes	characteristic
873	C₂²×D₁₃	C₂²×D₄	1	1	yes	characteristic
874	C₂²×D₁₃	C₂²×D₄	1	1	yes	characteristic
875	Q₈×C₁₃	—	2	1	no	—
876	Q₈×C₁₃	—	2	1	no	—
877	Q₈×C₁₃	—	2	1	no	—
878	Q₈×C₁₃	—	2	1	no	—
879	Q₈×C₁₃	—	2	1	no	—
880	Q₈×C₁₃	—	4	2	no	—
881	Q₈×C₁₃	C₂²×D₄	1	2	yes	—
882	D₄×C₁₃	—	2	2	no	—
883	D₄×C₁₃	—	2	1	no	—
884	D₄×C₁₃	—	2	1	no	—
885	D₄×C₁₃	—	2	1	no	—
886	D₄×C₁₃	—	2	1	no	—
887	D₄×C₁₃	—	2	1	no	—
888	D₄×C₁₃	—	4	2	no	—
889	D₄×C₁₃	—	4	2	no	—
890	D₄×C₁₃	—	4	2	no	—
891	D₄×C₁₃	—	4	2	no	—
892	D₄×C₁₃	—	8	1	no	—
893	D₄×C₁₃	C₂²×D₄	1	2	yes	—
894	C₂×C₄×C₁₃	—	2	1	no	—
895	C₂×C₄×C₁₃	—	2	1	no	—
896	C₂×C₄×C₁₃	—	2	1	no	—
897	C₂×C₄×C₁₃	—	2	1	no	—
898	C₂×C₄×C₁₃	—	2	1	no	—
899	C₂×C₄×C₁₃	—	2	1	no	—
900	C₂×C₄×C₁₃	—	2	1	no	—
901	C₂×C₄×C₁₃	—	2	1	no	—
902	C₂×C₄×C₁₃	—	2	1	no	—
903	C₂×C₄×C₁₃	—	4	2	no	—
904	C₂×C₄×C₁₃	—	4	2	no	—
905	C₂×C₄×C₁₃	—	4	2	no	—
906	C₂×C₄×C₁₃	—	8	1	no	—
907	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
908	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
909	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
910	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
911	C₂×C₄×C₁₃	C₂⁵	1	1	yes	characteristic
912	C₂²⋊D₁₃	—	2	2	no	—
913	C₂²⋊D₁₃	—	2	2	no	—
914	C₂²⋊D₁₃	—	2	4	no	—
915	C₂²⋊D₁₃	—	4	2	no	—
916	C₂²⋊D₁₃	—	4	2	no	—
917	C₂²⋊D₁₃	—	4	2	no	—
918	C₂²⋊D₁₃	—	4	2	no	—
919	C₂²⋊D₁₃	—	4	2	no	—
920	C₂²⋊D₁₃	—	4	2	no	—
921	C₂²⋊D₁₃	—	4	2	no	—
922	C₂²⋊D₁₃	—	4	2	no	—
923	C₂²⋊D₁₃	—	4	2	no	—
924	C₂²⋊D₁₃	—	4	2	no	—
925	C₂²⋊D₁₃	—	8	1	no	—
926	C₂²⋊D₁₃	—	8	1	no	—
927	C₂×Dic₁₃	—	2	1	no	—
928	C₂×Dic₁₃	—	2	2	no	—
929	C₂×Dic₁₃	—	2	2	no	—
930	C₂×Dic₁₃	—	2	1	no	—
931	C₂×Dic₁₃	—	2	1	no	—
932	C₂×Dic₁₃	—	2	1	no	—
933	C₂×Dic₁₃	—	2	1	no	—
934	C₂×Dic₁₃	—	4	2	no	—
935	C₂×Dic₁₃	—	4	2	no	—
936	C₂×Dic₁₃	—	4	2	no	—
937	C₂×Dic₁₃	—	8	1	no	—
938	C₂×Dic₁₃	C₂²×D₄	1	1	yes	characteristic
939	C₂×Dic₁₃	C₂²×D₄	1	1	yes	characteristic
940	C₂×Dic₁₃	C₂²×D₄	1	1	yes	characteristic
941	C₂×Dic₁₃	C₂²×D₄	1	1	yes	characteristic
942	C₂×Dic₁₃	C₂²×D₄	1	1	yes	characteristic
943	D₅₂	—	2	2	no	—
944	D₅₂	—	2	1	no	—
945	D₅₂	—	2	1	no	—
946	D₅₂	—	2	1	no	—
947	D₅₂	—	2	1	no	—
948	D₅₂	—	2	1	no	—
949	D₅₂	—	4	2	no	—
950	D₅₂	—	4	2	no	—
951	D₅₂	—	4	2	no	—
952	D₅₂	—	4	2	no	—
953	D₅₂	—	8	1	no	—
954	D₅₂	C₂²×D₄	1	2	yes	—
955	C₄×D₁₃	—	2	2	no	—
956	C₄×D₁₃	—	2	2	no	—
957	C₄×D₁₃	—	2	4	no	—
958	C₄×D₁₃	—	2	2	no	—
959	C₄×D₁₃	—	2	2	no	—
960	C₄×D₁₃	—	2	1	no	—
961	C₄×D₁₃	—	2	1	no	—
962	C₄×D₁₃	—	2	1	no	—
963	C₄×D₁₃	—	2	1	no	—
964	C₄×D₁₃	—	2	2	no	—
965	C₄×D₁₃	—	2	2	no	—
966	C₄×D₁₃	—	4	2	no	—
967	C₄×D₁₃	—	4	2	no	—
968	C₄×D₁₃	—	4	2	no	—
969	C₄×D₁₃	—	4	2	no	—
970	C₄×D₁₃	—	4	2	no	—
971	C₄×D₁₃	—	4	2	no	—
972	C₄×D₁₃	—	4	2	no	—
973	C₄×D₁₃	—	4	2	no	—
974	C₄×D₁₃	—	4	2	no	—
975	C₄×D₁₃	—	4	2	no	—
976	C₄×D₁₃	—	8	1	no	—
977	C₄×D₁₃	—	8	1	no	—
978	C₄×D₁₃	C₂²×D₄	1	2	yes	—
979	C₄×D₁₃	H(5,𝔽₂)	1	2	yes	—
980	Dic₂₆	—	2	1	no	—
981	Dic₂₆	—	2	4	no	—
982	Dic₂₆	—	2	1	no	—
983	Dic₂₆	—	2	1	no	—
984	Dic₂₆	—	2	1	no	—
985	Dic₂₆	—	2	1	no	—
986	Dic₂₆	—	4	2	no	—
987	Dic₂₆	—	4	2	no	—
988	Dic₂₆	—	4	2	no	—
989	Dic₂₆	—	4	2	no	—
990	Dic₂₆	—	4	2	no	—
991	Dic₂₆	C₂²×D₄	1	2	yes	—
992	C₈×C₁₃	—	2	1	no	—
993	C₈×C₁₃	—	2	1	no	—
994	C₈×C₁₃	—	2	1	no	—
995	C₈×C₁₃	C₂²×D₄	1	2	yes	—
996	#1055	—	2	1	no	—
997	#1055	—	2	1	no	—
998	#1055	—	2	1	no	—
999	#1055	C₂²×D₄	1	2	yes	—
1000	C₂²×#41	—	13	1	no	—
1001	C₂²×#41	—	13	1	no	—
1002	C₂³×Q₈	—	13	1	no	—
1003	C₂³×D₄	—	13	1	no	—
1004	C₂×#135	—	13	1	no	—
1005	C₂×#135	—	13	1	no	—
1006	C₂×#135	—	13	1	no	—
1007	C₂×#135	—	13	1	no	—
1008	C₂×#135	—	13	1	no	—
1009	C₂×#135	—	13	1	no	—
1010	C₂×#135	—	13	1	no	—
1011	C₂×#135	—	26	8	no	—
1012	C₂×#135	C₂×D₁₃	1	1	yes	characteristic, complemented
1013	C₂²×Q₁₆	—	13	1	no	—
1014	C₂²×Q₁₆	—	13	1	no	—
1015	C₂²×SD₁₆	—	13	1	no	—
1016	C₂²×SD₁₆	—	13	1	no	—
1017	C₂²×SD₁₆	—	13	1	no	—
1018	C₂²×SD₁₆	—	13	1	no	—
1019	C₂²×SD₁₆	—	13	1	no	—
1020	C₂²×SD₁₆	—	13	1	no	—
1021	C₂²×SD₁₆	—	13	1	no	—
1022	C₂²×SD₁₆	—	13	1	no	—
1023	C₂²×SD₁₆	—	13	1	no	—
1024	C₂²×SD₁₆	—	13	1	no	—
1025	C₂²×SD₁₆	—	13	1	no	—
1026	C₂²×SD₁₆	—	13	1	no	—
1027	C₂²×SD₁₆	—	26	8	no	—
1028	C₂²×SD₁₆	C₂×D₁₃	1	1	yes	characteristic, complemented
1029	C₂²×D₈	—	13	1	no	—
1030	C₂²×D₈	—	13	1	no	—
1031	C₂³×C₈	—	13	1	no	—
1032	C₂³×C₈	—	13	1	no	—
1033	#548	—	13	1	no	—
1034	#548	—	13	1	no	—
1035	#548	—	13	1	no	—
1036	#548	—	13	1	no	—
1037	#548	—	13	1	no	—
1038	#548	—	13	1	no	—
1039	#548	—	13	1	no	—
1040	#548	—	26	1	no	—
1041	#548	—	26	1	no	—
1042	#548	—	26	1	no	—
1043	#548	—	26	1	no	—
1044	#548	C₂×D₁₃	1	1	yes	characteristic, complemented
1045	#546	—	13	1	no	—
1046	#546	—	13	1	no	—
1047	#546	—	13	1	no	—
1048	#546	—	13	1	no	—
1049	#546	—	13	1	no	—
1050	#546	—	13	1	no	—
1051	#546	—	13	1	no	—
1052	#546	—	26	1	no	—
1053	#546	—	26	1	no	—
1054	#546	—	26	1	no	—
1055	#546	—	26	1	no	—
1056	#546	C₂×D₁₃	1	1	yes	characteristic, complemented
1057	C₂×#124	—	13	1	no	—
1058	C₂×#124	—	13	1	no	—
1059	C₂×#124	—	26	1	no	—
1060	C₂×#123	—	26	1	no	—
1061	C₂×C₂²⋊Q₈	—	13	1	no	—
1062	C₂×C₂²⋊Q₈	—	13	1	no	—
1063	C₂×C₂²⋊Q₈	—	26	1	no	—
1064	C₂×#121	—	13	1	no	—
1065	C₂×#121	—	13	1	no	—
1066	C₂×#121	—	26	1	no	—
1067	C₂×#121	—	26	1	no	—
1068	C₂×#120	—	26	1	no	—
1069	C₂×C₄×Q₈	—	13	1	no	—
1070	C₂×C₄×D₄	—	13	1	no	—
1071	C₂×C₄×D₄	—	13	1	no	—
1072	C₂×C₄×D₄	—	26	1	no	—
1073	C₂²×C₂²⋊C₄	—	26	1	no	—
1074	#495	—	13	1	no	—
1075	#495	—	13	1	no	—
1076	#495	—	13	1	no	—
1077	#495	—	13	1	no	—
1078	#495	—	13	1	no	—
1079	#495	—	13	1	no	—
1080	#495	—	13	1	no	—
1081	#495	C₂×D₁₃	1	1	yes	characteristic, complemented
1082	#465	—	13	1	no	—
1083	#465	—	13	1	no	—
1084	#465	—	13	1	no	—
1085	#465	—	13	1	no	—
1086	#465	—	13	1	no	—
1087	#465	—	13	1	no	—
1088	#465	—	13	1	no	—
1089	#465	—	13	1	no	—
1090	#465	—	13	1	no	—
1091	#465	—	13	1	no	—
1092	#465	—	13	1	no	—
1093	#465	—	13	1	no	—
1094	#465	—	13	1	no	—
1095	#465	—	13	1	no	—
1096	#465	C₂×D₁₃	1	1	yes	characteristic, complemented
1097	#465	C₂×D₁₃	1	1	yes	characteristic, complemented
1098	#464	—	13	1	no	—
1099	#464	—	13	1	no	—
1100	#464	—	13	1	no	—
1101	#464	—	13	1	no	—
1102	#464	—	13	1	no	—
1103	#464	—	13	1	no	—
1104	#464	—	13	1	no	—
1105	#464	C₂×D₁₃	1	1	yes	characteristic, complemented
1106	#463	—	13	1	no	—
1107	#463	—	13	1	no	—
1108	#463	—	13	1	no	—
1109	#463	—	13	1	no	—
1110	#463	—	13	1	no	—
1111	#463	—	13	1	no	—
1112	#463	—	13	1	no	—
1113	#463	C₂×D₁₃	1	1	yes	characteristic, complemented
1114	#452	—	13	1	no	—
1115	#452	—	13	1	no	—
1116	#452	—	13	1	no	—
1117	#452	—	13	1	no	—
1118	#452	—	13	1	no	—
1119	#452	—	13	1	no	—
1120	#452	—	13	1	no	—
1121	#452	C₂×D₁₃	1	1	yes	characteristic, complemented
1122	#451	—	13	1	no	—
1123	#451	—	13	1	no	—
1124	#451	—	13	1	no	—
1125	#451	—	13	1	no	—
1126	#451	—	13	1	no	—
1127	#451	—	13	1	no	—
1128	#451	—	13	1	no	—
1129	#451	C₂×D₁₃	1	1	yes	characteristic, complemented
1130	#449	—	13	1	no	—
1131	#449	—	13	1	no	—
1132	#449	—	13	1	no	—
1133	#449	—	13	1	no	—
1134	#449	—	13	1	no	—
1135	#449	—	13	1	no	—
1136	#449	—	13	1	no	—
1137	#449	C₂×D₁₃	1	1	yes	characteristic, complemented
1138	#447	—	13	1	no	—
1139	#447	—	13	1	no	—
1140	#447	—	13	1	no	—
1141	#447	—	13	1	no	—
1142	#447	—	13	1	no	—
1143	#447	—	13	1	no	—
1144	#447	—	13	1	no	—
1145	#447	C₂×D₁₃	1	1	yes	characteristic, complemented
1146	C₄×SD₁₆	—	13	1	no	—
1147	C₄×SD₁₆	—	13	1	no	—
1148	C₄×SD₁₆	—	13	1	no	—
1149	C₄×SD₁₆	—	13	1	no	—
1150	C₄×SD₁₆	—	13	1	no	—
1151	C₄×SD₁₆	—	13	1	no	—
1152	C₄×SD₁₆	—	13	1	no	—
1153	C₄×SD₁₆	C₂×D₁₃	1	1	yes	characteristic, complemented
1154	C₈×D₄	—	13	1	no	—
1155	C₈×D₄	—	13	1	no	—
1156	C₈×D₄	—	13	1	no	—
1157	C₈×D₄	—	13	1	no	—
1158	C₈×D₄	—	13	1	no	—
1159	C₈×D₄	—	13	1	no	—
1160	C₈×D₄	—	13	1	no	—
1161	C₈×D₄	C₂×D₁₃	1	1	yes	characteristic, complemented
1162	C₂×#106	—	13	1	no	—
1163	C₂×C₄⋊C₈	—	13	1	no	—
1164	C₂×#103	—	13	1	no	—
1165	C₂×#103	—	13	1	no	—
1166	C₂×#103	—	13	1	no	—
1167	C₂×#102	—	13	1	no	—
1168	C₂×#102	—	13	1	no	—
1169	C₂×#102	—	13	1	no	—
1170	C₂×C₂²⋊C₈	—	13	1	no	—
1171	C₂×C₂²⋊C₈	—	13	1	no	—
1172	C₂×C₄×C₈	—	13	1	no	—
1173	C₂²×C₁₃	—	2	1	no	—
1174	C₂²×C₁₃	—	2	1	no	—
1175	C₂²×C₁₃	—	2	1	no	—
1176	C₂²×C₁₃	—	2	2	no	—
1177	C₂²×C₁₃	—	2	1	no	—
1178	C₂²×C₁₃	—	2	1	no	—
1179	C₂²×C₁₃	—	4	1	no	—
1180	C₂²×C₁₃	—	4	1	no	—
1181	C₂²×C₁₃	—	4	1	no	—
1182	C₂²×C₁₃	—	4	1	no	—
1183	C₂²×C₁₃	—	4	1	no	—
1184	C₂²×C₁₃	—	4	1	no	—
1185	C₂²×C₁₃	—	4	1	no	—
1186	C₂²×C₁₃	—	4	1	no	—
1187	C₂²×C₁₃	—	8	4	no	—
1188	C₂²×C₁₃	C₂×#135	1	2	yes	complemented
1189	C₂²×C₁₃	C₂³×D₄	1	1	yes	characteristic
1190	C₂×D₁₃	—	2	1	no	—
1191	C₂×D₁₃	—	2	1	no	—
1192	C₂×D₁₃	—	2	8	no	—
1193	C₂×D₁₃	—	2	1	no	—
1194	C₂×D₁₃	—	2	2	no	—
1195	C₂×D₁₃	—	2	1	no	—
1196	C₂×D₁₃	—	2	1	no	—
1197	C₂×D₁₃	—	4	1	no	—
1198	C₂×D₁₃	—	4	1	no	—
1199	C₂×D₁₃	—	4	4	no	—
1200	C₂×D₁₃	—	4	8	no	—
1201	C₂×D₁₃	—	4	1	no	—
1202	C₂×D₁₃	—	4	1	no	—
1203	C₂×D₁₃	—	4	1	no	—
1204	C₂×D₁₃	—	4	1	no	—
1205	C₂×D₁₃	—	4	1	no	—
1206	C₂×D₁₃	—	4	1	no	—
1207	C₂×D₁₃	—	8	4	no	—
1208	C₂×D₁₃	—	8	4	no	—
1209	C₂×D₁₃	—	8	4	no	—
1210	C₂×D₁₃	—	8	4	no	—
1211	C₂×D₁₃	—	8	4	no	—
1212	C₂×D₁₃	D₄²	1	2	yes	—
1213	C₂×D₁₃	C₂×#135	1	2	yes	—
1214	C₂×D₁₃	C₂×#135	1	2	yes	complemented
1215	C₂×D₁₃	#577	1	2	yes	—
1216	C₄×C₁₃	—	2	2	no	—
1217	C₄×C₁₃	—	2	1	no	—
1218	C₄×C₁₃	—	2	1	no	—
1219	C₄×C₁₃	—	2	1	no	—
1220	C₄×C₁₃	—	2	1	no	—
1221	C₄×C₁₃	—	4	1	no	—
1222	C₄×C₁₃	—	4	1	no	—
1223	C₄×C₁₃	—	4	1	no	—
1224	C₄×C₁₃	—	4	1	no	—
1225	C₄×C₁₃	C₂³×D₄	1	1	yes	characteristic
1226	C₄×C₁₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1227	Dic₁₃	—	2	2	no	—
1228	Dic₁₃	—	2	1	no	—
1229	Dic₁₃	—	2	1	no	—
1230	Dic₁₃	—	2	1	no	—
1231	Dic₁₃	—	2	1	no	—
1232	Dic₁₃	—	4	1	no	—
1233	Dic₁₃	—	4	1	no	—
1234	Dic₁₃	—	4	1	no	—
1235	Dic₁₃	—	4	1	no	—
1236	Dic₁₃	D₄²	1	2	yes	—
1237	C₂⁵	—	26	1	no	—
1238	C₂×#41	—	13	1	no	—
1239	C₂×#41	—	13	1	no	—
1240	C₂×#41	—	13	1	no	—
1241	C₂×#41	—	13	1	no	—
1242	C₂×#41	—	13	1	no	—
1243	C₂×#41	—	13	1	no	—
1244	C₂×#41	—	26	1	no	—
1245	C₂×#41	—	26	1	no	—
1246	C₂×#41	—	26	1	no	—
1247	C₂×#41	—	26	1	no	—
1248	C₂×#41	—	26	4	no	—
1249	C₂×#41	—	26	4	no	—
1250	C₂×#41	—	52	2	no	—
1251	C₂×#41	—	52	2	no	—
1252	C₂×#41	C₂²×D₁₃	1	1	yes	characteristic
1253	C₂×#41	C₂²×D₁₃	1	1	yes	characteristic, complemented
1254	C₂²×Q₈	—	13	1	no	—
1255	C₂²×Q₈	—	13	1	no	—
1256	C₂²×Q₈	—	13	1	no	—
1257	C₂²×Q₈	—	13	1	no	—
1258	C₂²×Q₈	—	13	1	no	—
1259	C₂²×Q₈	—	13	1	no	—
1260	C₂²×Q₈	—	26	1	no	—
1261	C₂²×Q₈	—	26	1	no	—
1262	C₂²×Q₈	—	26	1	no	—
1263	C₂²×Q₈	—	26	4	no	—
1264	C₂²×Q₈	—	52	2	no	—
1265	C₂²×Q₈	C₂²×D₁₃	1	1	yes	characteristic
1266	C₂²×D₄	—	13	1	no	—
1267	C₂²×D₄	—	13	1	no	—
1268	C₂²×D₄	—	13	1	no	—
1269	C₂²×D₄	—	13	1	no	—
1270	C₂²×D₄	—	13	1	no	—
1271	C₂²×D₄	—	13	1	no	—
1272	C₂²×D₄	—	13	1	no	—
1273	C₂²×D₄	—	26	1	no	—
1274	C₂²×D₄	—	26	1	no	—
1275	C₂²×D₄	—	26	1	no	—
1276	C₂²×D₄	—	26	4	no	—
1277	C₂²×D₄	—	26	1	no	—
1278	C₂²×D₄	—	26	1	no	—
1279	C₂²×D₄	—	26	1	no	—
1280	C₂²×D₄	—	26	1	no	—
1281	C₂²×D₄	—	52	2	no	—
1282	C₂²×D₄	C₂²×D₁₃	1	1	yes	characteristic
1283	C₂³×C₄	—	13	1	no	—
1284	C₂³×C₄	—	13	1	no	—
1285	C₂³×C₄	—	26	1	no	—
1286	C₂³×C₄	—	26	1	no	—
1287	C₂³×C₄	—	26	1	no	—
1288	C₂³×C₄	—	26	1	no	—
1289	#135	—	2	4	no	—
1290	#135	—	26	4	no	—
1291	#135	—	26	4	no	—
1292	#135	—	26	4	no	—
1293	#135	—	26	4	no	—
1294	#135	—	26	4	no	—
1295	#135	—	26	4	no	—
1296	#135	—	26	4	no	—
1297	C₂×Q₁₆	—	13	1	no	—
1298	C₂×Q₁₆	—	13	1	no	—
1299	C₂×Q₁₆	—	13	1	no	—
1300	C₂×Q₁₆	—	13	1	no	—
1301	C₂×Q₁₆	—	13	1	no	—
1302	C₂×Q₁₆	—	13	1	no	—
1303	C₂×Q₁₆	—	26	4	no	—
1304	C₂×Q₁₆	—	52	2	no	—
1305	C₂×Q₁₆	C₂²×D₁₃	1	1	yes	characteristic, complemented
1306	C₂×Q₁₆	C₂²×D₁₃	1	1	yes	characteristic, complemented
1307	C₂×SD₁₆	—	2	4	no	—
1308	C₂×SD₁₆	—	13	1	no	—
1309	C₂×SD₁₆	—	13	1	no	—
1310	C₂×SD₁₆	—	13	8	no	—
1311	C₂×SD₁₆	—	13	1	no	—
1312	C₂×SD₁₆	—	13	1	no	—
1313	C₂×SD₁₆	—	13	1	no	—
1314	C₂×SD₁₆	—	13	1	no	—
1315	C₂×SD₁₆	—	13	1	no	—
1316	C₂×SD₁₆	—	13	1	no	—
1317	C₂×SD₁₆	—	13	1	no	—
1318	C₂×SD₁₆	—	13	1	no	—
1319	C₂×SD₁₆	—	13	1	no	—
1320	C₂×SD₁₆	—	13	1	no	—
1321	C₂×SD₁₆	—	13	1	no	—
1322	C₂×SD₁₆	—	13	1	no	—
1323	C₂×SD₁₆	—	13	1	no	—
1324	C₂×SD₁₆	—	26	4	no	—
1325	C₂×SD₁₆	—	26	4	no	—
1326	C₂×SD₁₆	—	26	4	no	—
1327	C₂×SD₁₆	—	26	4	no	—
1328	C₂×SD₁₆	—	26	4	no	—
1329	C₂×SD₁₆	—	26	4	no	—
1330	C₂×SD₁₆	—	26	4	no	—
1331	C₂×SD₁₆	—	26	4	no	—
1332	C₂×SD₁₆	—	26	4	no	—
1333	C₂×SD₁₆	—	26	4	no	—
1334	C₂×SD₁₆	—	26	4	no	—
1335	C₂×SD₁₆	C₂²×D₁₃	1	1	yes	characteristic
1336	C₂×SD₁₆	C₂²×D₁₃	1	1	yes	characteristic
1337	C₂×SD₁₆	C₂²×D₁₃	1	1	yes	characteristic
1338	C₂×SD₁₆	C₂²×D₁₃	1	1	yes	characteristic
1339	C₂×SD₁₆	C₂²×D₁₃	1	1	yes	characteristic, complemented
1340	C₂×D₈	—	13	1	no	—
1341	C₂×D₈	—	13	1	no	—
1342	C₂×D₈	—	13	1	no	—
1343	C₂×D₈	—	13	1	no	—
1344	C₂×D₈	—	13	1	no	—
1345	C₂×D₈	—	13	1	no	—
1346	C₂×D₈	—	26	4	no	—
1347	C₂×D₈	—	52	2	no	—
1348	C₂×D₈	C₂²×D₁₃	1	1	yes	characteristic
1349	C₂×D₈	C₂²×D₁₃	1	1	yes	characteristic
1350	C₂²×C₈	—	13	1	no	—
1351	C₂²×C₈	—	13	1	no	—
1352	C₂²×C₈	—	13	1	no	—
1353	C₂²×C₈	—	13	1	no	—
1354	C₂²×C₈	—	13	1	no	—
1355	C₂²×C₈	—	13	1	no	—
1356	C₂²×C₈	—	13	1	no	—
1357	C₂²×C₈	—	13	1	no	—
1358	C₂²×C₈	—	13	1	no	—
1359	C₂²×C₈	—	13	1	no	—
1360	C₂²×C₈	—	26	4	no	—
1361	C₂²×C₈	—	26	4	no	—
1362	C₂²×C₈	C₂²×D₁₃	1	1	yes	characteristic
1363	C₂²×C₈	C₂²×D₁₃	1	1	yes	characteristic, complemented
1364	#124	—	2	1	no	—
1365	#124	—	13	1	no	—
1366	#124	—	13	1	no	—
1367	#124	—	13	1	no	—
1368	#124	—	13	1	no	—
1369	#124	—	13	1	no	—
1370	#124	—	13	1	no	—
1371	#124	—	26	1	no	—
1372	#124	—	26	1	no	—
1373	#124	—	26	1	no	—
1374	#124	—	26	1	no	—
1375	#124	—	26	1	no	—
1376	#124	—	26	1	no	—
1377	#124	—	26	1	no	—
1378	#124	—	26	1	no	—
1379	#124	—	26	1	no	—
1380	#124	—	26	1	no	—
1381	#124	—	26	1	no	—
1382	#124	C₂²×D₁₃	1	1	yes	characteristic
1383	#124	C₂²×D₁₃	1	1	yes	characteristic, complemented
1384	#123	—	2	1	no	—
1385	#123	—	26	1	no	—
1386	#123	—	26	1	no	—
1387	#123	—	26	1	no	—
1388	#123	—	26	1	no	—
1389	#123	—	26	1	no	—
1390	#123	—	26	1	no	—
1391	#123	—	26	1	no	—
1392	C₂²⋊Q₈	—	2	1	no	—
1393	C₂²⋊Q₈	—	13	1	no	—
1394	C₂²⋊Q₈	—	13	1	no	—
1395	C₂²⋊Q₈	—	13	1	no	—
1396	C₂²⋊Q₈	—	13	1	no	—
1397	C₂²⋊Q₈	—	13	1	no	—
1398	C₂²⋊Q₈	—	13	1	no	—
1399	C₂²⋊Q₈	—	26	1	no	—
1400	C₂²⋊Q₈	—	26	1	no	—
1401	C₂²⋊Q₈	—	26	1	no	—
1402	C₂²⋊Q₈	—	26	1	no	—
1403	C₂²⋊Q₈	—	26	1	no	—
1404	C₂²⋊Q₈	—	26	1	no	—
1405	C₂²⋊Q₈	—	26	1	no	—
1406	C₂²⋊Q₈	—	26	1	no	—
1407	C₂²⋊Q₈	—	26	1	no	—
1408	C₂²⋊Q₈	—	26	1	no	—
1409	C₂²⋊Q₈	—	26	1	no	—
1410	C₂²⋊Q₈	C₂²×D₁₃	1	1	yes	characteristic
1411	C₂²⋊Q₈	C₂²×D₁₃	1	1	yes	characteristic, complemented
1412	#121	—	2	1	no	—
1413	#121	—	2	1	no	—
1414	#121	—	13	1	no	—
1415	#121	—	13	1	no	—
1416	#121	—	13	1	no	—
1417	#121	—	13	1	no	—
1418	#121	—	13	1	no	—
1419	#121	—	13	1	no	—
1420	#121	—	26	1	no	—
1421	#121	—	26	1	no	—
1422	#121	—	26	1	no	—
1423	#121	—	26	1	no	—
1424	#121	—	26	1	no	—
1425	#121	—	26	1	no	—
1426	#121	—	26	1	no	—
1427	#121	—	26	1	no	—
1428	#121	—	26	1	no	—
1429	#121	—	26	1	no	—
1430	#121	—	26	1	no	—
1431	#121	—	26	1	no	—
1432	#121	—	26	1	no	—
1433	#121	—	26	1	no	—
1434	#121	—	26	1	no	—
1435	#121	—	26	1	no	—
1436	#121	—	26	1	no	—
1437	#121	—	26	1	no	—
1438	#121	C₂²×D₁₃	1	1	yes	characteristic
1439	#121	C₂²×D₁₃	1	1	yes	characteristic
1440	#120	—	2	1	no	—
1441	#120	—	26	1	no	—
1442	#120	—	26	1	no	—
1443	#120	—	26	1	no	—
1444	#120	—	26	1	no	—
1445	#120	—	26	1	no	—
1446	#120	—	26	1	no	—
1447	#120	—	26	1	no	—
1448	C₄×Q₈	—	13	1	no	—
1449	C₄×Q₈	—	13	1	no	—
1450	C₄×Q₈	—	13	1	no	—
1451	C₄×Q₈	—	26	1	no	—
1452	C₄×Q₈	—	26	1	no	—
1453	C₄×Q₈	C₂²×D₁₃	1	1	yes	characteristic, complemented
1454	C₄×D₄	—	2	1	no	—
1455	C₄×D₄	—	13	1	no	—
1456	C₄×D₄	—	13	1	no	—
1457	C₄×D₄	—	13	1	no	—
1458	C₄×D₄	—	13	1	no	—
1459	C₄×D₄	—	13	1	no	—
1460	C₄×D₄	—	13	1	no	—
1461	C₄×D₄	—	13	1	no	—
1462	C₄×D₄	—	13	1	no	—
1463	C₄×D₄	—	13	1	no	—
1464	C₄×D₄	—	13	1	no	—
1465	C₄×D₄	—	26	1	no	—
1466	C₄×D₄	—	26	1	no	—
1467	C₄×D₄	—	26	1	no	—
1468	C₄×D₄	—	26	1	no	—
1469	C₄×D₄	—	26	1	no	—
1470	C₄×D₄	—	26	1	no	—
1471	C₄×D₄	—	26	1	no	—
1472	C₄×D₄	—	26	1	no	—
1473	C₄×D₄	—	26	1	no	—
1474	C₄×D₄	C₂²×D₁₃	1	1	yes	characteristic
1475	C₄×D₄	C₂²×D₁₃	1	1	yes	characteristic
1476	C₂×C₄⋊C₄	—	13	1	no	—
1477	C₂×C₄⋊C₄	—	13	1	no	—
1478	C₂×C₄⋊C₄	—	13	1	no	—
1479	C₂×C₄⋊C₄	—	26	1	no	—
1480	C₂×C₄⋊C₄	—	26	1	no	—
1481	C₂×C₄⋊C₄	—	26	1	no	—
1482	C₂×C₂²⋊C₄	—	2	1	no	—
1483	C₂×C₂²⋊C₄	—	13	1	no	—
1484	C₂×C₂²⋊C₄	—	13	1	no	—
1485	C₂×C₂²⋊C₄	—	26	1	no	—
1486	C₂×C₂²⋊C₄	—	26	1	no	—
1487	C₂×C₂²⋊C₄	—	26	1	no	—
1488	C₂×C₂²⋊C₄	—	26	1	no	—
1489	C₂×C₂²⋊C₄	—	26	1	no	—
1490	C₂×C₂²⋊C₄	—	26	1	no	—
1491	C₂×C₂²⋊C₄	—	26	1	no	—
1492	C₂×C₂²⋊C₄	—	26	1	no	—
1493	C₂×C₂²⋊C₄	—	26	1	no	—
1494	C₂×C₂²⋊C₄	—	26	1	no	—
1495	C₂×C₂²⋊C₄	—	26	1	no	—
1496	C₂×C₂²⋊C₄	—	26	1	no	—
1497	C₂×C₂²⋊C₄	—	26	1	no	—
1498	C₂×C₂²⋊C₄	—	26	1	no	—
1499	C₂×C₂²⋊C₄	—	26	1	no	—
1500	C₂×C₂²⋊C₄	—	26	1	no	—
1501	C₂×C₄²	—	13	1	no	—
1502	C₂×C₄²	—	26	1	no	—
1503	#106	—	13	1	no	—
1504	#106	—	13	1	no	—
1505	#106	—	13	1	no	—
1506	#106	C₂²×D₁₃	1	1	yes	characteristic, complemented
1507	C₄⋊C₈	—	13	1	no	—
1508	C₄⋊C₈	—	13	1	no	—
1509	C₄⋊C₈	—	13	1	no	—
1510	C₄⋊C₈	C₂²×D₁₃	1	1	yes	characteristic, complemented
1511	#103	—	13	1	no	—
1512	#103	—	13	1	no	—
1513	#103	—	13	1	no	—
1514	#103	—	13	1	no	—
1515	#103	—	13	1	no	—
1516	#103	—	13	1	no	—
1517	#103	—	13	1	no	—
1518	#103	—	13	1	no	—
1519	#103	—	13	1	no	—
1520	#103	C₂²×D₁₃	1	1	yes	characteristic, complemented
1521	#103	C₂²×D₁₃	1	1	yes	characteristic, complemented
1522	#103	C₂²×D₁₃	1	1	yes	characteristic, complemented
1523	#102	—	13	1	no	—
1524	#102	—	13	1	no	—
1525	#102	—	13	1	no	—
1526	#102	—	13	1	no	—
1527	#102	—	13	1	no	—
1528	#102	—	13	1	no	—
1529	#102	—	13	1	no	—
1530	#102	—	13	1	no	—
1531	#102	—	13	1	no	—
1532	#102	C₂²×D₁₃	1	1	yes	characteristic
1533	#102	C₂²×D₁₃	1	1	yes	characteristic
1534	#102	C₂²×D₁₃	1	1	yes	characteristic, complemented
1535	C₂²⋊C₈	—	13	1	no	—
1536	C₂²⋊C₈	—	13	1	no	—
1537	C₂²⋊C₈	—	13	1	no	—
1538	C₂²⋊C₈	—	13	1	no	—
1539	C₂²⋊C₈	—	13	1	no	—
1540	C₂²⋊C₈	—	13	1	no	—
1541	C₂²⋊C₈	C₂²×D₁₃	1	1	yes	characteristic
1542	C₂²⋊C₈	C₂²×D₁₃	1	1	yes	characteristic, complemented
1543	C₄×C₈	—	13	1	no	—
1544	C₄×C₈	—	13	1	no	—
1545	C₄×C₈	—	13	1	no	—
1546	C₄×C₈	C₂²×D₁₃	1	1	yes	characteristic, complemented
1547	C₂×C₁₃	—	2	2	no	—
1548	C₂×C₁₃	—	4	2	no	—
1549	C₂×C₁₃	—	4	1	no	—
1550	C₂×C₁₃	—	8	1	no	—
1551	C₂×C₁₃	—	8	1	no	—
1552	C₂×C₁₃	C₂×D₄²	1	1	yes	characteristic
1553	C₂×C₁₃	C₂²×#135	1	1	yes	characteristic
1554	C₂×C₁₃	C₂×#577	1	1	yes	characteristic
1555	D₁₃	—	2	2	no	—
1556	D₁₃	—	4	1	no	—
1557	D₁₃	—	4	2	no	—
1558	D₁₃	—	8	1	no	—
1559	D₁₃	—	8	1	no	—
1560	D₁₃	#3282	1	4	yes	direct product factor
1561	C₂⁴	—	2	1	no	—
1562	C₂⁴	—	13	1	no	—
1563	C₂⁴	—	13	1	no	—
1564	C₂⁴	—	26	1	no	—
1565	C₂⁴	—	26	1	no	—
1566	C₂⁴	—	26	1	no	—
1567	C₂⁴	—	26	1	no	—
1568	C₂⁴	—	26	1	no	—
1569	C₂⁴	—	26	1	no	—
1570	C₂⁴	—	52	4	no	—
1571	C₂⁴	—	52	4	no	—
1572	C₂⁴	—	104	2	no	—
1573	#41	—	2	2	no	—
1574	#41	—	2	2	no	—
1575	#41	—	4	1	no	—
1576	#41	—	4	1	no	—
1577	#41	—	26	2	no	—
1578	#41	—	26	2	no	—
1579	#41	—	26	2	no	—
1580	#41	—	26	2	no	—
1581	#41	—	26	2	no	—
1582	#41	—	26	2	no	—
1583	#41	—	52	1	no	—
1584	#41	—	52	1	no	—
1585	#41	—	52	4	no	—
1586	#41	—	52	4	no	—
1587	#41	—	52	1	no	—
1588	#41	—	52	1	no	—
1589	#41	—	52	4	no	—
1590	#41	—	52	4	no	—
1591	#41	—	52	1	no	—
1592	#41	—	52	1	no	—
1593	C₂×Q₈	—	2	1	no	—
1594	C₂×Q₈	—	2	2	no	—
1595	C₂×Q₈	—	4	1	no	—
1596	C₂×Q₈	—	13	4	no	—
1597	C₂×Q₈	—	13	1	no	—
1598	C₂×Q₈	—	13	1	no	—
1599	C₂×Q₈	—	13	1	no	—
1600	C₂×Q₈	—	26	1	no	—
1601	C₂×Q₈	—	26	1	no	—
1602	C₂×Q₈	—	26	1	no	—
1603	C₂×Q₈	—	26	1	no	—
1604	C₂×Q₈	—	26	1	no	—
1605	C₂×Q₈	—	26	2	no	—
1606	C₂×Q₈	—	26	2	no	—
1607	C₂×Q₈	—	26	2	no	—
1608	C₂×Q₈	—	26	2	no	—
1609	C₂×Q₈	—	26	2	no	—
1610	C₂×Q₈	—	26	2	no	—
1611	C₂×Q₈	—	26	1	no	—
1612	C₂×Q₈	—	26	2	no	—
1613	C₂×Q₈	—	26	2	no	—
1614	C₂×Q₈	—	52	1	no	—
1615	C₂×Q₈	—	52	4	no	—
1616	C₂×Q₈	—	52	4	no	—
1617	C₂×Q₈	—	52	1	no	—
1618	C₂×Q₈	—	52	1	no	—
1619	C₂×Q₈	—	52	4	no	—
1620	C₂×Q₈	C₂³×D₁₃	1	1	yes	characteristic
1621	C₂×Q₈	C₂³×D₁₃	1	1	yes	characteristic
1622	C₂×Q₈	C₂³×D₁₃	1	1	yes	characteristic
1623	C₂×D₄	—	2	2	no	—
1624	C₂×D₄	—	2	1	no	—
1625	C₂×D₄	—	2	1	no	—
1626	C₂×D₄	—	2	1	no	—
1627	C₂×D₄	—	2	1	no	—
1628	C₂×D₄	—	2	1	no	—
1629	C₂×D₄	—	4	1	no	—
1630	C₂×D₄	—	13	4	no	—
1631	C₂×D₄	—	13	1	no	—
1632	C₂×D₄	—	13	1	no	—
1633	C₂×D₄	—	13	1	no	—
1634	C₂×D₄	—	13	1	no	—
1635	C₂×D₄	—	13	1	no	—
1636	C₂×D₄	—	13	1	no	—
1637	C₂×D₄	—	26	2	no	—
1638	C₂×D₄	—	26	1	no	—
1639	C₂×D₄	—	26	1	no	—
1640	C₂×D₄	—	26	1	no	—
1641	C₂×D₄	—	26	1	no	—
1642	C₂×D₄	—	26	2	no	—
1643	C₂×D₄	—	26	2	no	—
1644	C₂×D₄	—	26	2	no	—
1645	C₂×D₄	—	26	2	no	—
1646	C₂×D₄	—	26	2	no	—
1647	C₂×D₄	—	26	1	no	—
1648	C₂×D₄	—	26	1	no	—
1649	C₂×D₄	—	26	1	no	—
1650	C₂×D₄	—	26	1	no	—
1651	C₂×D₄	—	26	1	no	—
1652	C₂×D₄	—	26	2	no	—
1653	C₂×D₄	—	26	4	no	—
1654	C₂×D₄	—	26	2	no	—
1655	C₂×D₄	—	26	1	no	—
1656	C₂×D₄	—	26	1	no	—
1657	C₂×D₄	—	26	1	no	—
1658	C₂×D₄	—	26	1	no	—
1659	C₂×D₄	—	26	1	no	—
1660	C₂×D₄	—	26	1	no	—
1661	C₂×D₄	—	26	1	no	—
1662	C₂×D₄	—	26	1	no	—
1663	C₂×D₄	—	26	1	no	—
1664	C₂×D₄	—	52	1	no	—
1665	C₂×D₄	—	52	1	no	—
1666	C₂×D₄	—	52	1	no	—
1667	C₂×D₄	—	52	4	no	—
1668	C₂×D₄	—	52	4	no	—
1669	C₂×D₄	—	52	4	no	—
1670	C₂×D₄	—	52	4	no	—
1671	C₂×D₄	—	52	4	no	—
1672	C₂×D₄	—	52	4	no	—
1673	C₂×D₄	—	104	2	no	—
1674	C₂×D₄	D₄×D₁₃	1	1	yes	characteristic
1675	C₂×D₄	C₂³×D₁₃	1	1	yes	characteristic
1676	C₂×D₄	C₂³×D₁₃	1	1	yes	characteristic
1677	C₂×D₄	C₂³×D₁₃	1	1	yes	characteristic
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	—	13	1	no	—
1683	C₂²×C₄	—	13	1	no	—
1684	C₂²×C₄	—	13	1	no	—
1685	C₂²×C₄	—	13	1	no	—
1686	C₂²×C₄	—	13	1	no	—
1687	C₂²×C₄	—	13	1	no	—
1688	C₂²×C₄	—	13	1	no	—
1689	C₂²×C₄	—	13	1	no	—
1690	C₂²×C₄	—	13	1	no	—
1691	C₂²×C₄	—	13	1	no	—
1692	C₂²×C₄	—	13	1	no	—
1693	C₂²×C₄	—	26	2	no	—
1694	C₂²×C₄	—	26	2	no	—
1695	C₂²×C₄	—	26	2	no	—
1696	C₂²×C₄	—	26	2	no	—
1697	C₂²×C₄	—	26	1	no	—
1698	C₂²×C₄	—	26	1	no	—
1699	C₂²×C₄	—	26	1	no	—
1700	C₂²×C₄	—	26	1	no	—
1701	C₂²×C₄	—	26	1	no	—
1702	C₂²×C₄	—	26	1	no	—
1703	C₂²×C₄	—	26	1	no	—
1704	C₂²×C₄	—	26	1	no	—
1705	C₂²×C₄	—	26	1	no	—
1706	C₂²×C₄	—	26	1	no	—
1707	C₂²×C₄	—	26	1	no	—
1708	C₂²×C₄	—	26	1	no	—
1709	C₂²×C₄	—	26	1	no	—
1710	C₂²×C₄	—	26	1	no	—
1711	C₂²×C₄	—	26	1	no	—
1712	C₂²×C₄	—	26	1	no	—
1713	C₂²×C₄	—	26	1	no	—
1714	C₂²×C₄	—	52	4	no	—
1715	C₂²×C₄	—	52	4	no	—
1716	C₂²×C₄	—	52	4	no	—
1717	C₂²×C₄	—	104	2	no	—
1718	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1719	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1720	Q₁₆	—	2	2	no	—
1721	Q₁₆	—	4	1	no	—
1722	Q₁₆	—	26	2	no	—
1723	Q₁₆	—	26	2	no	—
1724	Q₁₆	—	26	2	no	—
1725	Q₁₆	—	52	1	no	—
1726	Q₁₆	—	52	1	no	—
1727	Q₁₆	—	52	1	no	—
1728	SD₁₆	—	2	2	no	—
1729	SD₁₆	—	2	2	no	—
1730	SD₁₆	—	2	2	no	—
1731	SD₁₆	—	2	2	no	—
1732	SD₁₆	—	13	4	no	—
1733	SD₁₆	—	13	4	no	—
1734	SD₁₆	—	13	4	no	—
1735	SD₁₆	—	26	2	no	—
1736	SD₁₆	—	26	2	no	—
1737	SD₁₆	—	26	2	no	—
1738	SD₁₆	—	26	2	no	—
1739	SD₁₆	—	26	2	no	—
1740	SD₁₆	—	26	2	no	—
1741	SD₁₆	—	26	2	no	—
1742	SD₁₆	—	26	2	no	—
1743	SD₁₆	—	26	2	no	—
1744	SD₁₆	—	26	2	no	—
1745	SD₁₆	—	26	2	no	—
1746	SD₁₆	—	26	2	no	—
1747	SD₁₆	D₄×D₁₃	1	4	yes	complemented
1748	D₈	—	2	2	no	—
1749	D₈	—	4	1	no	—
1750	D₈	—	26	2	no	—
1751	D₈	—	26	2	no	—
1752	D₈	—	26	2	no	—
1753	D₈	—	52	1	no	—
1754	D₈	—	52	1	no	—
1755	D₈	—	52	1	no	—
1756	C₂×C₈	—	2	2	no	—
1757	C₂×C₈	—	2	2	no	—
1758	C₂×C₈	—	13	1	no	—
1759	C₂×C₈	—	13	4	no	—
1760	C₂×C₈	—	13	1	no	—
1761	C₂×C₈	—	13	1	no	—
1762	C₂×C₈	—	13	1	no	—
1763	C₂×C₈	—	26	2	no	—
1764	C₂×C₈	—	26	2	no	—
1765	C₂×C₈	—	26	2	no	—
1766	C₂×C₈	—	26	2	no	—
1767	C₂×C₈	—	26	2	no	—
1768	C₂×C₈	—	26	2	no	—
1769	C₂×C₈	—	26	2	no	—
1770	C₂×C₈	—	26	2	no	—
1771	C₂×C₈	—	26	2	no	—
1772	C₂×C₈	C₂³×D₁₃	1	1	yes	characteristic
1773	C₂×C₈	C₂³×D₁₃	1	1	yes	characteristic
1774	C₂×C₈	C₂³×D₁₃	1	1	yes	characteristic
1775	C₂×C₈	C₂³×D₁₃	1	1	yes	characteristic
1776	C₄⋊C₄	—	2	1	no	—
1777	C₄⋊C₄	—	2	1	no	—
1778	C₄⋊C₄	—	2	1	no	—
1779	C₄⋊C₄	—	13	1	no	—
1780	C₄⋊C₄	—	13	1	no	—
1781	C₄⋊C₄	—	13	1	no	—
1782	C₄⋊C₄	—	13	1	no	—
1783	C₄⋊C₄	—	13	1	no	—
1784	C₄⋊C₄	—	26	1	no	—
1785	C₄⋊C₄	—	26	1	no	—
1786	C₄⋊C₄	—	26	1	no	—
1787	C₄⋊C₄	—	26	1	no	—
1788	C₄⋊C₄	—	26	1	no	—
1789	C₄⋊C₄	—	26	1	no	—
1790	C₄⋊C₄	—	26	1	no	—
1791	C₄⋊C₄	—	26	1	no	—
1792	C₄⋊C₄	—	26	1	no	—
1793	C₄⋊C₄	—	26	1	no	—
1794	C₄⋊C₄	—	26	1	no	—
1795	C₄⋊C₄	D₄×D₁₃	1	1	yes	characteristic
1796	C₄⋊C₄	C₂³×D₁₃	1	1	yes	characteristic
1797	C₄⋊C₄	C₂³×D₁₃	1	1	yes	characteristic
1798	C₂²⋊C₄	—	2	1	no	—
1799	C₂²⋊C₄	—	2	1	no	—
1800	C₂²⋊C₄	—	2	1	no	—
1801	C₂²⋊C₄	—	2	1	no	—
1802	C₂²⋊C₄	—	2	1	no	—
1803	C₂²⋊C₄	—	2	1	no	—
1804	C₂²⋊C₄	—	2	1	no	—
1805	C₂²⋊C₄	—	2	1	no	—
1806	C₂²⋊C₄	—	2	1	no	—
1807	C₂²⋊C₄	—	13	1	no	—
1808	C₂²⋊C₄	—	13	1	no	—
1809	C₂²⋊C₄	—	13	1	no	—
1810	C₂²⋊C₄	—	13	1	no	—
1811	C₂²⋊C₄	—	13	1	no	—
1812	C₂²⋊C₄	—	13	1	no	—
1813	C₂²⋊C₄	—	26	1	no	—
1814	C₂²⋊C₄	—	26	1	no	—
1815	C₂²⋊C₄	—	26	1	no	—
1816	C₂²⋊C₄	—	26	1	no	—
1817	C₂²⋊C₄	—	26	1	no	—
1818	C₂²⋊C₄	—	26	1	no	—
1819	C₂²⋊C₄	—	26	1	no	—
1820	C₂²⋊C₄	—	26	1	no	—
1821	C₂²⋊C₄	—	26	1	no	—
1822	C₂²⋊C₄	—	26	1	no	—
1823	C₂²⋊C₄	—	26	1	no	—
1824	C₂²⋊C₄	—	26	1	no	—
1825	C₂²⋊C₄	—	26	1	no	—
1826	C₂²⋊C₄	—	26	1	no	—
1827	C₂²⋊C₄	—	26	1	no	—
1828	C₂²⋊C₄	—	26	1	no	—
1829	C₂²⋊C₄	—	26	1	no	—
1830	C₂²⋊C₄	—	26	1	no	—
1831	C₂²⋊C₄	—	26	1	no	—
1832	C₂²⋊C₄	—	26	1	no	—
1833	C₂²⋊C₄	—	26	1	no	—
1834	C₂²⋊C₄	—	26	1	no	—
1835	C₂²⋊C₄	—	26	1	no	—
1836	C₂²⋊C₄	—	26	1	no	—
1837	C₂²⋊C₄	—	26	1	no	—
1838	C₂²⋊C₄	—	26	1	no	—
1839	C₂²⋊C₄	—	26	1	no	—
1840	C₂²⋊C₄	D₄×D₁₃	1	1	yes	characteristic
1841	C₂²⋊C₄	D₄×D₁₃	1	1	yes	characteristic
1842	C₄²	—	2	1	no	—
1843	C₄²	—	13	1	no	—
1844	C₄²	—	13	1	no	—
1845	C₄²	—	13	1	no	—
1846	C₄²	—	26	1	no	—
1847	C₄²	—	26	1	no	—
1848	C₄²	—	26	1	no	—
1849	C₄²	C₂³×D₁₃	1	1	yes	characteristic
1850	C₁₃	C₂×#3282	1	1	yes	characteristic, complemented, Sylow
1851	C₂³	—	2	1	no	—
1852	C₂³	—	2	1	no	—
1853	C₂³	—	2	1	no	—
1854	C₂³	—	4	2	no	—
1855	C₂³	—	4	2	no	—
1856	C₂³	—	8	1	no	—
1857	C₂³	—	13	1	no	—
1858	C₂³	—	13	4	no	—
1859	C₂³	—	13	1	no	—
1860	C₂³	—	13	1	no	—
1861	C₂³	—	26	2	no	—
1862	C₂³	—	26	2	no	—
1863	C₂³	—	26	2	no	—
1864	C₂³	—	26	4	no	—
1865	C₂³	—	26	2	no	—
1866	C₂³	—	26	2	no	—
1867	C₂³	—	26	1	no	—
1868	C₂³	—	26	1	no	—
1869	C₂³	—	26	1	no	—
1870	C₂³	—	52	2	no	—
1871	C₂³	—	52	2	no	—
1872	C₂³	—	52	2	no	—
1873	C₂³	—	52	2	no	—
1874	C₂³	—	52	2	no	—
1875	C₂³	—	52	2	no	—
1876	C₂³	—	52	2	no	—
1877	C₂³	—	52	2	no	—
1878	C₂³	—	52	2	no	—
1879	C₂³	—	52	2	no	—
1880	C₂³	—	52	2	no	—
1881	C₂³	—	52	2	no	—
1882	C₂³	—	52	2	no	—
1883	C₂³	—	52	2	no	—
1884	C₂³	—	104	1	no	—
1885	C₂³	—	104	1	no	—
1886	C₂³	—	104	1	no	—
1887	C₂³	—	104	16	no	—
1888	C₂³	C₂×D₄×D₁₃	1	1	yes	characteristic
1889	C₂³	C₂×D₄×D₁₃	1	1	yes	characteristic
1890	Q₈	—	2	1	no	—
1891	Q₈	—	2	1	no	—
1892	Q₈	—	2	1	no	—
1893	Q₈	—	2	1	no	—
1894	Q₈	—	2	1	no	—
1895	Q₈	—	4	2	no	—
1896	Q₈	—	13	2	no	—
1897	Q₈	—	26	4	no	—
1898	Q₈	—	26	1	no	—
1899	Q₈	—	26	1	no	—
1900	Q₈	—	26	1	no	—
1901	Q₈	—	26	1	no	—
1902	Q₈	—	26	1	no	—
1903	Q₈	—	52	2	no	—
1904	Q₈	—	52	2	no	—
1905	Q₈	—	52	2	no	—
1906	Q₈	—	52	2	no	—
1907	Q₈	—	52	2	no	—
1908	Q₈	C₂×D₄×D₁₃	1	2	yes	—
1909	D₄	—	2	2	no	—
1910	D₄	—	2	1	no	—
1911	D₄	—	2	1	no	—
1912	D₄	—	2	1	no	—
1913	D₄	—	2	1	no	—
1914	D₄	—	2	1	no	—
1915	D₄	—	4	2	no	—
1916	D₄	—	4	2	no	—
1917	D₄	—	4	2	no	—
1918	D₄	—	4	2	no	—
1919	D₄	—	8	1	no	—
1920	D₄	—	13	2	no	—
1921	D₄	—	26	2	no	—
1922	D₄	—	26	4	no	—
1923	D₄	—	26	2	no	—
1924	D₄	—	26	2	no	—
1925	D₄	—	26	1	no	—
1926	D₄	—	26	1	no	—
1927	D₄	—	26	1	no	—
1928	D₄	—	26	1	no	—
1929	D₄	—	26	1	no	—
1930	D₄	—	52	2	no	—
1931	D₄	—	52	2	no	—
1932	D₄	—	52	2	no	—
1933	D₄	—	52	2	no	—
1934	D₄	—	52	2	no	—
1935	D₄	—	52	2	no	—
1936	D₄	—	52	2	no	—
1937	D₄	—	52	2	no	—
1938	D₄	—	52	2	no	—
1939	D₄	—	52	2	no	—
1940	D₄	—	52	2	no	—
1941	D₄	—	52	2	no	—
1942	D₄	—	52	2	no	—
1943	D₄	—	52	2	no	—
1944	D₄	—	104	1	no	—
1945	D₄	—	104	1	no	—
1946	D₄	—	104	1	no	—
1947	D₄	C₂×D₄×D₁₃	1	2	yes	—
1948	C₂×C₄	—	2	1	no	—
1949	C₂×C₄	—	2	1	no	—
1950	C₂×C₄	—	2	1	no	—
1951	C₂×C₄	—	2	1	no	—
1952	C₂×C₄	—	2	1	no	—
1953	C₂×C₄	—	2	1	no	—
1954	C₂×C₄	—	2	1	no	—
1955	C₂×C₄	—	2	1	no	—
1956	C₂×C₄	—	2	1	no	—
1957	C₂×C₄	—	4	2	no	—
1958	C₂×C₄	—	4	2	no	—
1959	C₂×C₄	—	4	2	no	—
1960	C₂×C₄	—	8	1	no	—
1961	C₂×C₄	—	13	1	no	—
1962	C₂×C₄	—	13	2	no	—
1963	C₂×C₄	—	13	2	no	—
1964	C₂×C₄	—	13	1	no	—
1965	C₂×C₄	—	13	1	no	—
1966	C₂×C₄	—	13	1	no	—
1967	C₂×C₄	—	13	1	no	—
1968	C₂×C₄	—	26	2	no	—
1969	C₂×C₄	—	26	2	no	—
1970	C₂×C₄	—	26	2	no	—
1971	C₂×C₄	—	26	2	no	—
1972	C₂×C₄	—	26	2	no	—
1973	C₂×C₄	—	26	2	no	—
1974	C₂×C₄	—	26	4	no	—
1975	C₂×C₄	—	26	2	no	—
1976	C₂×C₄	—	26	2	no	—
1977	C₂×C₄	—	26	1	no	—
1978	C₂×C₄	—	26	1	no	—
1979	C₂×C₄	—	26	1	no	—
1980	C₂×C₄	—	26	1	no	—
1981	C₂×C₄	—	26	1	no	—
1982	C₂×C₄	—	26	1	no	—
1983	C₂×C₄	—	26	1	no	—
1984	C₂×C₄	—	26	1	no	—
1985	C₂×C₄	—	26	1	no	—
1986	C₂×C₄	—	52	2	no	—
1987	C₂×C₄	—	52	2	no	—
1988	C₂×C₄	—	52	2	no	—
1989	C₂×C₄	—	52	2	no	—
1990	C₂×C₄	—	52	2	no	—
1991	C₂×C₄	—	52	2	no	—
1992	C₂×C₄	—	52	2	no	—
1993	C₂×C₄	—	52	2	no	—
1994	C₂×C₄	—	52	2	no	—
1995	C₂×C₄	—	52	2	no	—
1996	C₂×C₄	—	52	2	no	—
1997	C₂×C₄	—	52	2	no	—
1998	C₂×C₄	—	52	2	no	—
1999	C₂×C₄	—	104	1	no	—
2000	C₂×C₄	—	104	1	no	—
2001	C₂×C₄	—	104	1	no	—
2002	C₂×C₄	C₂×D₄×D₁₃	1	1	yes	characteristic
2003	C₂×C₄	C₂×D₄×D₁₃	1	1	yes	characteristic
2004	C₂×C₄	C₂×D₄×D₁₃	1	1	yes	characteristic
2005	C₂×C₄	C₂×D₄×D₁₃	1	1	yes	characteristic
2006	C₂×C₄	C₂⁴×D₁₃	1	1	yes	characteristic
2007	C₈	—	2	1	no	—
2008	C₈	—	2	1	no	—
2009	C₈	—	2	1	no	—
2010	C₈	—	13	2	no	—
2011	C₈	—	26	1	no	—
2012	C₈	—	26	1	no	—
2013	C₈	—	26	1	no	—
2014	C₈	C₂×D₄×D₁₃	1	2	yes	—
2015	C₂²	—	2	1	no	—
2016	C₂²	—	2	1	no	—
2017	C₂²	—	2	1	no	—
2018	C₂²	—	2	2	no	—
2019	C₂²	—	2	1	no	—
2020	C₂²	—	2	1	no	—
2021	C₂²	—	4	1	no	—
2022	C₂²	—	4	1	no	—
2023	C₂²	—	4	1	no	—
2024	C₂²	—	4	1	no	—
2025	C₂²	—	4	1	no	—
2026	C₂²	—	4	1	no	—
2027	C₂²	—	4	1	no	—
2028	C₂²	—	4	1	no	—
2029	C₂²	—	8	4	no	—
2030	C₂²	—	13	2	no	—
2031	C₂²	—	13	2	no	—
2032	C₂²	—	13	2	no	—
2033	C₂²	—	13	2	no	—
2034	C₂²	—	26	8	no	—
2035	C₂²	—	26	1	no	—
2036	C₂²	—	26	1	no	—
2037	C₂²	—	26	1	no	—
2038	C₂²	—	26	2	no	—
2039	C₂²	—	26	1	no	—
2040	C₂²	—	26	1	no	—
2041	C₂²	—	52	4	no	—
2042	C₂²	—	52	8	no	—
2043	C₂²	—	52	1	no	—
2044	C₂²	—	52	1	no	—
2045	C₂²	—	52	1	no	—
2046	C₂²	—	52	1	no	—
2047	C₂²	—	52	1	no	—
2048	C₂²	—	52	1	no	—
2049	C₂²	—	52	1	no	—
2050	C₂²	—	52	1	no	—
2051	C₂²	—	104	4	no	—
2052	C₂²	—	104	4	no	—
2053	C₂²	—	104	4	no	—
2054	C₂²	—	104	4	no	—
2055	C₂²	—	104	4	no	—
2056	C₂²	D₁₃×#135	1	2	yes	complemented
2057	C₂²	C₂²×D₄×D₁₃	1	1	yes	characteristic
2058	C₄	—	2	1	no	—
2059	C₄	—	2	1	no	—
2060	C₄	—	2	2	no	—
2061	C₄	—	2	1	no	—
2062	C₄	—	2	1	no	—
2063	C₄	—	4	1	no	—
2064	C₄	—	4	1	no	—
2065	C₄	—	4	1	no	—
2066	C₄	—	4	1	no	—
2067	C₄	—	13	2	no	—
2068	C₄	—	26	1	no	—
2069	C₄	—	26	1	no	—
2070	C₄	—	26	2	no	—
2071	C₄	—	26	1	no	—
2072	C₄	—	26	1	no	—
2073	C₄	—	52	1	no	—
2074	C₄	—	52	1	no	—
2075	C₄	—	52	1	no	—
2076	C₄	—	52	1	no	—
2077	C₄	C₂²×D₄×D₁₃	1	1	yes	characteristic
2078	C₄	D₁₃×H(5,𝔽₂)	1	1	yes	characteristic
2079	C₂	—	2	2	no	—
2080	C₂	—	4	1	no	—
2081	C₂	—	4	2	no	—
2082	C₂	—	8	1	no	—
2083	C₂	—	8	1	no	—
2084	C₂	—	13	4	no	—
2085	C₂	—	26	2	no	—
2086	C₂	—	52	1	no	—
2087	C₂	—	52	2	no	—
2088	C₂	—	104	1	no	—
2089	C₂	—	104	1	no	—
2090	C₂	D₄²×D₁₃	1	1	yes	characteristic
2091	C₂	C₂×D₁₃×#135	1	1	yes	characteristic
2092	C₂	D₁₃×#577	1	1	yes	characteristic

	subgroup	G/H
center	C₂²	C₂²×D₄×D₁₃
commutator, cosocle	C₂×C₄×C₁₃	C₂⁵
Frattini	C₂×C₄	C₂⁴×D₁₃
Fitting	C₁₃×#3282	C₂
socle	C₂²×C₁₃	C₂³×D₄
hypercenter	#3282	D₁₃
hypocenter	C₁₃	C₂×#3282
LCS	G ▷ C₂×C₄×C₁₃ ▷ C₂×C₁₃ ▷ C₁₃
UCS	C₁ ◁ C₂² ◁ C₄×D₄ ◁ #3282

Complements

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

N	H ≅ G/N	type
1. C₂×D₁₃×#135	C₂	semidirect
2. C₂²×SD₁₆×D₁₃	C₂	semidirect
3. D₁₃×#548	C₂	semidirect
4. D₁₃×#546	C₂	semidirect
5. #13126550	C₂	semidirect
6. #13126549	C₂	semidirect
7. #13126548	C₂	semidirect
8. #13126547	C₂	semidirect
9. #13126546	C₂	semidirect
10. #13126545	C₂	semidirect
11. #13126544	C₂	semidirect
12. #13126543	C₂	semidirect
13. #13126542	C₂	semidirect
14. #13126541	C₂	semidirect
15. #13126540	C₂	semidirect
16. #13126539	C₂	semidirect
17. #13126538	C₂	semidirect
18. #13126537	C₂	semidirect
19. #13126536	C₂	semidirect
20. D₁₃×#495	C₂	semidirect
21. D₁₃×#465	C₂	semidirect
22. D₁₃×#465	C₂	semidirect
23. D₁₃×#464	C₂	semidirect
24. D₁₃×#463	C₂	semidirect
25. D₁₃×#452	C₂	semidirect
26. D₁₃×#449	C₂	semidirect
27. D₁₃×#451	C₂	semidirect
28. D₁₃×#447	C₂	semidirect
29. C₄×SD₁₆×D₁₃	C₂	semidirect
30. C₈×D₄×D₁₃	C₂	semidirect
31. C₁₃×#3282	C₂	semidirect
33. C₂×#41×D₁₃	C₂²	semidirect
36. C₂×C₁₃×#135	C₂²	semidirect
37. C₂²×C₁₃×SD₁₆	C₂²	semidirect
38. C₁₃×#548	C₂²	semidirect
39. C₁₃×#546	C₂²	semidirect
40. #11719536	C₂²	semidirect
41. #11719534	C₂²	semidirect
42. C₂×#88204	C₂²	semidirect
43. C₂×#88204	C₂²	semidirect
44. #11719522	C₂²	semidirect
45. C₂²×#6106	C₂²	semidirect
46. #11719511	C₂²	semidirect
47. C₂²×#6105	C₂²	semidirect
49. C₂×#88173	C₂²	semidirect
50. C₂×Q₁₆×D₁₃	C₂²	semidirect
51. C₂×Q₁₆×D₁₃	C₂²	semidirect
52. C₂×#88170	C₂²	semidirect
53. C₂×#88170	C₂²	semidirect
59. C₂×SD₁₆×D₁₃	C₂²	semidirect
60. C₂×SD₁₆×D₁₃	C₂²	semidirect
61. C₂×SD₁₆×D₁₃	C₂²	semidirect
62. C₂×SD₁₆×D₁₃	C₂²	semidirect
63. C₂×SD₁₆×D₁₃	C₂²	semidirect
64. C₂×#88166	C₂²	semidirect
67. C₂×#88158	C₂²	semidirect
68. C₂²×#6095	C₂²	semidirect
70. C₂²×C₈×D₁₃	C₂²	semidirect
72. #11719382	C₂²	semidirect
73. #11719381	C₂²	semidirect
76. D₁₃×#124	C₂²	semidirect
80. #11719338	C₂²	semidirect
81. #11719335	C₂²	semidirect
84. D₁₃×C₂²⋊Q₈	C₂²	semidirect
85. #11719317	C₂²	semidirect
92. #11719303	C₂²	semidirect
95. #11719281	C₂²	semidirect
96. C₄×Q₈×D₁₃	C₂²	semidirect
97. #11719259	C₂²	semidirect
99. #11719257	C₂²	semidirect
100. #11719255	C₂²	semidirect
106. C₁₃×#495	C₂²	semidirect
107. C₁₃×#465	C₂²	semidirect
108. C₁₃×#465	C₂²	semidirect
109. C₁₃×#464	C₂²	semidirect
110. C₁₃×#463	C₂²	semidirect
111. C₁₃×#452	C₂²	semidirect
112. C₁₃×#451	C₂²	semidirect
113. C₁₃×#449	C₂²	semidirect
114. C₁₃×#447	C₂²	semidirect
115. C₄×C₁₃×SD₁₆	C₂²	semidirect
116. C₈×D₄×C₁₃	C₂²	semidirect
117. #11718900	C₂²	semidirect
118. #11718899	C₂²	semidirect
119. #11718889	C₂²	semidirect
120. #11718878	C₂²	semidirect
121. #11718852	C₂²	semidirect
122. #11718848	C₂²	semidirect
123. #11718847	C₂²	semidirect
124. #11718847	C₂²	semidirect
125. #11718846	C₂²	semidirect
126. #11718834	C₂²	semidirect
127. #11718833	C₂²	semidirect
128. #11718832	C₂²	semidirect
129. #11718832	C₂²	semidirect
130. #11718829	C₂²	semidirect
131. #11718829	C₂²	semidirect
132. #11718827	C₂²	semidirect
133. #11718826	C₂²	semidirect
134. SD₁₆×Dic₁₃	C₂²	semidirect
135. #11718819	C₂²	semidirect
136. #11718817	C₂²	semidirect
137. #11718817	C₂²	semidirect
138. #11718816	C₂²	semidirect
139. #11718814	C₂²	semidirect
140. #11718775	C₂²	semidirect
141. #11718775	C₂²	semidirect
142. C₈×C₂²⋊D₁₃	C₂²	semidirect
143. C₈×C₂²⋊D₁₃	C₂²	semidirect
144. #11718720	C₂²	semidirect
145. #11718720	C₂²	semidirect
146. #11718718	C₂²	semidirect
147. #11718715	C₂²	semidirect
148. #11718711	C₂²	semidirect
149. #11718709	C₂²	semidirect
150. #11718709	C₂²	semidirect
151. #11718708	C₂²	semidirect
152. #11718702	C₂²	semidirect
153. #11718702	C₂²	semidirect
154. #11718698	C₂²	semidirect
155. #11718697	C₂²	semidirect
156. #11718689	C₂²	semidirect
157. C₄×#6106	C₂²	semidirect
158. C₄×#6105	C₂²	semidirect
159. #11718677	C₂²	semidirect
160. D₄×#1055	C₂²	semidirect
161. #11718525	C₂²	semidirect
162. #11718525	C₂²	semidirect
163. D₁₃×#106	C₂²	semidirect
164. #11718513	C₂²	semidirect
165. #11718506	C₂²	semidirect
166. #11718505	C₂²	semidirect
167. #11718495	C₂²	semidirect
168. D₁₃×C₄⋊C₈	C₂²	semidirect
169. #11718480	C₂²	semidirect
170. #11718472	C₂²	semidirect
171. #11718471	C₂²	semidirect
172. #11718469	C₂²	semidirect
173. #11718469	C₂²	semidirect
174. #11718468	C₂²	semidirect
175. #11718468	C₂²	semidirect
176. D₁₃×#103	C₂²	semidirect
177. D₁₃×#103	C₂²	semidirect
178. D₁₃×#103	C₂²	semidirect
179. #11718459	C₂²	semidirect
180. #11718449	C₂²	semidirect
181. #11718448	C₂²	semidirect
182. #11718444	C₂²	semidirect
183. #11718442	C₂²	semidirect
184. #11718439	C₂²	semidirect
185. #11718439	C₂²	semidirect
186. #11718434	C₂²	semidirect
187. #11718434	C₂²	semidirect
190. D₁₃×#102	C₂²	semidirect
191. #11718428	C₂²	semidirect
192. #11718419	C₂²	semidirect
193. #11718400	C₂²	semidirect
194. #11718395	C₂²	semidirect
195. #11718394	C₂²	semidirect
196. #11718393	C₂²	semidirect
197. #11718386	C₂²	semidirect
198. #11718386	C₂²	semidirect
200. D₁₃×C₂²⋊C₈	C₂²	semidirect
201. #11718357	C₂²	semidirect
202. C₄×#6095	C₂²	semidirect
203. C₈×D₅₂	C₂²	semidirect
204. C₄×C₈×D₁₃	C₂²	semidirect
207. C₂×C₁₃×#41	C₂³	semidirect
216. C₂×#6131	C₂³	semidirect
229. C₂×#6129	C₂³	semidirect
247. C₂×#6127	C₂³	semidirect
258. C₂×C₁₃×Q₁₆	C₂³	semidirect
259. C₂×C₁₃×Q₁₆	C₂³	semidirect
265. C₂×C₁₃×SD₁₆	C₂³	semidirect
269. C₂²×C₈×C₁₃	C₂³	semidirect
272. C₁₃×#124	C₂³	semidirect
276. C₁₃×C₂²⋊Q₈	C₂³	semidirect
282. C₄×Q₈×C₁₃	C₂³	semidirect
293. #88201	C₂³	semidirect
296. #88200	C₂³	semidirect
297. Q₈×Dic₁₃	C₂³	semidirect
298. C₂×#6107	C₂³	semidirect
299. C₂×#6107	C₂³	semidirect
300. C₂×#6107	C₂³	semidirect
301. C₂×#6107	C₂³	semidirect
307. C₂×#6106	C₂³	semidirect
323. #88190	C₂³	semidirect
333. C₂×#6105	C₂³	semidirect
352. #88178	C₂³	semidirect
354. C₂²×#1055	C₂³	semidirect
368. SD₁₆×D₁₃	D₄	semidirect
372. C₂×Dic₅₂	C₂³	semidirect
373. C₂×Dic₅₂	C₂³	semidirect
382. C₂×#6095	C₂³	semidirect
391. C₂×C₈×D₁₃	C₂³	semidirect
392. C₂×C₈×D₁₃	C₂³	semidirect
395. #88151	C₂³	semidirect
416. #88141	C₂³	semidirect
463. #88129	C₂³	semidirect
470. C₄×Dic₂₆	C₂³	semidirect
471. C₁₃×#106	C₂³	semidirect
472. C₁₃×C₄⋊C₈	C₂³	semidirect
473. C₁₃×#103	C₂³	semidirect
474. C₁₃×#103	C₂³	semidirect
475. C₁₃×#103	C₂³	semidirect
478. C₁₃×#102	C₂³	semidirect
480. C₁₃×C₂²⋊C₈	C₂³	semidirect
481. C₄×C₈×C₁₃	C₂³	semidirect
482. #88075	C₂³	semidirect
483. #88075	C₂³	semidirect
484. #88075	C₂³	semidirect
487. #88072	C₂³	semidirect
489. C₂²⋊#1055	C₂³	semidirect
492. #88061	C₂³	semidirect
495. #88060	C₂³	semidirect
496. #88060	C₂³	semidirect
497. #88057	C₂³	semidirect
498. #88056	C₂³	semidirect
499. #88056	C₂³	semidirect
500. #88056	C₂³	semidirect
501. #88054	C₂³	semidirect
502. #88054	C₂³	semidirect
503. C₈×Dic₁₃	C₂³	semidirect
504. C₈×Dic₁₃	C₂³	semidirect
505. #88050	C₂³	semidirect
506. #88050	C₂³	semidirect
507. #88050	C₂³	semidirect
510. #88049	C₂³	semidirect
511. #88048	C₂³	semidirect
512. #88048	C₂³	semidirect
513. C₄⋊#1055	C₂³	semidirect
514. C₄×#1055	C₂³	semidirect
681. C₁₃×SD₁₆	C₂×D₄	semidirect
728. #6106	C₂×D₄	semidirect
733. #6105	C₂×D₄	semidirect
796. #6095	C₂×D₄	semidirect
824. #3282	D₁₃	direct (N × H)
871. C₂²×D₁₃	#135	semidirect
1012. C₂×#135	C₂×D₁₃	semidirect
1028. C₂²×SD₁₆	C₂×D₁₃	semidirect
1044. #548	C₂×D₁₃	semidirect
1056. #546	C₂×D₁₃	semidirect
1081. #495	C₂×D₁₃	semidirect
1096. #465	C₂×D₁₃	semidirect
1097. #465	C₂×D₁₃	semidirect
1105. #464	C₂×D₁₃	semidirect
1113. #463	C₂×D₁₃	semidirect
1121. #452	C₂×D₁₃	semidirect
1129. #451	C₂×D₁₃	semidirect
1137. #449	C₂×D₁₃	semidirect
1145. #447	C₂×D₁₃	semidirect
1153. C₄×SD₁₆	C₂×D₁₃	semidirect
1161. C₈×D₄	C₂×D₁₃	semidirect
1188. C₂²×C₁₃	C₂×#135	semidirect
1214. C₂×D₁₃	C₂×#135	semidirect
1253. C₂×#41	C₂²×D₁₃	semidirect
1305. C₂×Q₁₆	C₂²×D₁₃	semidirect
1306. C₂×Q₁₆	C₂²×D₁₃	semidirect
1339. C₂×SD₁₆	C₂²×D₁₃	semidirect
1363. C₂²×C₈	C₂²×D₁₃	semidirect
1383. #124	C₂²×D₁₃	semidirect
1411. C₂²⋊Q₈	C₂²×D₁₃	semidirect
1453. C₄×Q₈	C₂²×D₁₃	semidirect
1506. #106	C₂²×D₁₃	semidirect
1510. C₄⋊C₈	C₂²×D₁₃	semidirect
1520. #103	C₂²×D₁₃	semidirect
1521. #103	C₂²×D₁₃	semidirect
1522. #103	C₂²×D₁₃	semidirect
1534. #102	C₂²×D₁₃	semidirect
1542. C₂²⋊C₈	C₂²×D₁₃	semidirect
1546. C₄×C₈	C₂²×D₁₃	semidirect
1560. D₁₃	#3282	direct (N × H)
1747. SD₁₆	D₄×D₁₃	semidirect
1850. C₁₃	C₂×#3282	semidirect
2056. C₂²	D₁₃×#135	semidirect

Maximal subgroups

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

subgroup	index
C₂×D₁₃×#135	2
C₂²×SD₁₆×D₁₃	2
D₁₃×#548	2
D₁₃×#546	2
#13126550	2
#13126549	2
#13126548	2
#13126547	2
#13126546	2
#13126545	2
#13126544	2
#13126543	2
#13126542	2
#13126541	2
#13126540	2
#13126539	2
#13126538	2
#13126537	2
#13126536	2
D₁₃×#495	2
D₁₃×#465	2
D₁₃×#464	2
D₁₃×#463	2
D₁₃×#452	2
D₁₃×#449	2
D₁₃×#451	2
D₁₃×#447	2
C₄×SD₁₆×D₁₃	2
C₈×D₄×D₁₃	2
C₁₃×#3282	2
C₂×#3282	13

Subgroups — D13×#3282 #16738139

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — D₁₃×#3282 #16738139