Subgroups — #16744997

Order 3328.

1814 conjugacy classes of subgroups.

The subgroup lattice has 1666 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#13128452	C₂	1	1	yes	maximal, characteristic
2	Q₈×#6129	C₂	1	1	yes	maximal, characteristic, complemented
3	#13127864	C₂	1	1	yes	maximal, characteristic, complemented
4	#13127769	C₂	1	1	yes	maximal, characteristic, complemented
5	#13127634	C₂	1	1	yes	maximal, characteristic, complemented
6	#13127571	C₂	1	1	yes	maximal, characteristic, complemented
7	#13127293	C₂	1	1	yes	maximal, characteristic, complemented
8	#13127286	C₂	1	1	yes	maximal, characteristic, complemented
9	#13127188	C₂	1	1	yes	maximal, characteristic, complemented
10	#13126947	C₂	1	1	yes	maximal, characteristic, complemented
11	#13126940	C₂	1	1	yes	maximal, characteristic, complemented
12	#13126887	C₂	1	1	yes	maximal, characteristic, complemented
13	#13126880	C₂	1	1	yes	maximal, characteristic, complemented
14	#13126705	C₂	1	1	yes	maximal, characteristic, complemented
15	#13126694	C₂	1	1	yes	maximal, characteristic, complemented
16	Q₁₆×C₂²⋊D₁₃	C₂	1	1	yes	maximal, characteristic, complemented
17	#13126400	C₂	1	1	yes	maximal, characteristic, complemented
18	#13125576	C₂	1	1	yes	maximal, characteristic, complemented
19	#13125542	C₂	1	1	yes	maximal, characteristic, complemented
20	#13125538	C₂	1	1	yes	maximal, characteristic, complemented
21	#13125006	C₂	1	1	yes	maximal, characteristic, complemented
22	#13125002	C₂	1	1	yes	maximal, characteristic, complemented
23	#13124991	C₂	1	1	yes	maximal, characteristic, complemented
24	#13124965	C₂	1	1	yes	maximal, characteristic, complemented
25	#13124961	C₂	1	1	yes	maximal, characteristic, complemented
26	#13124961	C₂	1	1	yes	maximal, characteristic, complemented
27	#13123846	C₂	1	1	yes	maximal, characteristic, complemented
28	#137×Dic₁₃	C₂	1	1	yes	maximal, characteristic, complemented
29	C₂×#11718845	C₂	1	1	yes	maximal, characteristic, complemented
30	D₁₃×#441	C₂	1	1	yes	maximal, characteristic, complemented
31	C₁₃×#3270	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂×C₁₃×#137	C₂²	1	1	yes	characteristic
33	C₂²×C₁₃×Q₁₆	C₂²	1	1	yes	characteristic
34	D₄×Q₈×C₁₃	C₂²	1	1	yes	characteristic
35	C₁₃×#548	C₂²	1	1	yes	characteristic
36	#11719536	C₂²	1	1	yes	characteristic
37	#41×Dic₁₃	C₂²	1	1	yes	characteristic
38	Q₈×C₂²⋊D₁₃	C₂²	1	1	yes	characteristic
39	Q₈×C₂²⋊D₁₃	C₂²	1	1	yes	characteristic
40	Q₈×C₂²⋊D₁₃	C₂²	1	1	yes	characteristic
41	C₂×Q₈×Dic₁₃	C₂²	1	1	yes	characteristic
42	C₂×Q₈×Dic₁₃	C₂²	1	1	yes	characteristic
43	C₂×Q₈×Dic₁₃	C₂²	1	1	yes	characteristic
44	C₂×Q₁₆×D₁₃	C₂²	1	1	yes	characteristic
45	#11719433	—	2	1	no	—
46	#11719433	C₂²	1	1	yes	characteristic
47	#11719426	—	2	1	no	—
48	#11719426	C₂²	1	1	yes	characteristic
49	#11719385	—	2	1	no	—
50	#11719385	C₂²	1	1	yes	characteristic
51	#11719376	—	2	1	no	—
52	#11719376	C₂²	1	1	yes	characteristic
53	#11719344	—	2	1	no	—
54	#11719344	C₂²	1	1	yes	characteristic
55	#11719340	—	2	1	no	—
56	#11719340	—	2	1	no	—
57	#11719340	C₂²	1	1	yes	characteristic
58	#11719340	C₂²	1	1	yes	characteristic
59	#11719327	—	2	1	no	—
60	#11719327	—	2	1	no	—
61	#11719327	—	2	1	no	—
62	#11719327	C₂²	1	1	yes	characteristic
63	#11719327	C₂²	1	1	yes	characteristic
64	#11719327	C₂²	1	1	yes	characteristic
65	#11719316	—	2	1	no	—
66	#11719316	C₂²	1	1	yes	characteristic
67	#11719305	—	2	1	no	—
68	#11719305	C₂²	1	1	yes	characteristic
69	C₄×Q₈×D₁₃	C₂²	1	1	yes	characteristic
70	C₄×Q₈×D₁₃	C₂²	1	1	yes	characteristic
71	#11719274	C₂²	1	1	yes	characteristic
72	Q₈×Dic₂₆	C₂²	1	1	yes	characteristic
73	#11719248	—	2	1	no	—
74	#11719248	C₂²	1	1	yes	characteristic
75	#11719246	—	2	1	no	—
76	#11719246	C₂²	1	1	yes	characteristic
77	C₄×#6129	—	2	1	no	—
78	C₄×#6129	—	2	1	no	—
79	C₄×#6129	C₂²	1	1	yes	characteristic
80	C₁₃×#497	C₂²	1	1	yes	characteristic
81	C₁₃×#470	C₂²	1	1	yes	characteristic
82	C₁₃×#465	C₂²	1	1	yes	characteristic
83	C₁₃×#464	C₂²	1	1	yes	characteristic
84	C₁₃×#462	C₂²	1	1	yes	characteristic
85	C₁₃×#452	C₂²	1	1	yes	characteristic
86	C₁₃×#451	C₂²	1	1	yes	characteristic
87	C₁₃×#451	C₂²	1	1	yes	characteristic
88	C₁₃×#448	C₂²	1	1	yes	characteristic
89	C₁₃×#441	C₂²	1	1	yes	characteristic
90	C₁₃×#435	C₂²	1	1	yes	characteristic
91	#11718900	C₂²	1	1	yes	characteristic
92	#11718893	C₂²	1	1	yes	characteristic
93	#11718889	C₂²	1	1	yes	characteristic
94	#11718889	C₂²	1	1	yes	characteristic
95	#11718889	C₂²	1	1	yes	characteristic
96	#11718886	C₂²	1	1	yes	characteristic
97	C₂×#88075	C₂²	1	1	yes	characteristic
98	C₂×#88075	C₂²	1	1	yes	characteristic
99	#11718849	C₂²	1	1	yes	characteristic
100	#11718849	C₂²	1	1	yes	characteristic
101	#11718847	C₂²	1	1	yes	characteristic
102	#11718847	C₂²	1	1	yes	characteristic
103	#11718847	C₂²	1	1	yes	characteristic
104	#11718845	C₂²	1	1	yes	characteristic
105	#11718845	C₂²	1	1	yes	characteristic
106	#11718845	C₂²	1	1	yes	characteristic
107	#11718845	C₂²	1	1	yes	characteristic
108	#11718845	C₂²	1	1	yes	characteristic
109	#11718845	C₂²	1	1	yes	characteristic
110	#11718845	C₂²	1	1	yes	characteristic
111	#11718845	C₂²	1	1	yes	characteristic
112	#11718845	C₂²	1	1	yes	characteristic
113	#11718845	C₂²	1	1	yes	characteristic
114	Q₁₆×Dic₁₃	C₂²	1	1	yes	characteristic
115	Q₁₆×Dic₁₃	C₂²	1	1	yes	characteristic
116	#11718843	C₂²	1	1	yes	characteristic
117	#11718843	C₂²	1	1	yes	characteristic
118	#11718843	C₂²	1	1	yes	characteristic
119	#11718843	C₂²	1	1	yes	characteristic
120	#11718843	C₂²	1	1	yes	characteristic
121	#11718842	C₂²	1	1	yes	characteristic
122	#11718832	C₂²	1	1	yes	characteristic
123	#11718832	C₂²	1	1	yes	characteristic
124	#11718831	C₂²	1	1	yes	characteristic
125	#11718828	C₂²	1	1	yes	characteristic
126	#11718827	C₂²	1	1	yes	characteristic
127	#11718827	C₂²	1	1	yes	characteristic
128	#11718825	C₂²	1	1	yes	characteristic
129	#11718825	C₂²	1	1	yes	characteristic
130	#11718825	C₂²	1	1	yes	characteristic
131	#11718823	C₂²	1	1	yes	characteristic
132	SD₁₆×Dic₁₃	C₂²	1	1	yes	characteristic
133	SD₁₆×Dic₁₃	C₂²	1	1	yes	characteristic
134	#11718798	C₂²	1	1	yes	characteristic
135	#11718788	C₂²	1	1	yes	characteristic
136	#11718782	C₂²	1	1	yes	characteristic
137	M₁₆×Dic₁₃	C₂²	1	1	yes	characteristic
138	#11718777	C₂²	1	1	yes	characteristic
139	C₈×C₂²⋊D₁₃	C₂²	1	1	yes	characteristic
140	C₂×#88057	C₂²	1	1	yes	characteristic
141	C₂×#88055	C₂²	1	1	yes	characteristic
142	#11718751	C₂²	1	1	yes	characteristic
143	#11718743	C₂²	1	1	yes	characteristic
144	#11718716	C₂²	1	1	yes	characteristic
145	#11718715	C₂²	1	1	yes	characteristic
146	#11718713	C₂²	1	1	yes	characteristic
147	#11718713	C₂²	1	1	yes	characteristic
148	#11718712	C₂²	1	1	yes	characteristic
149	#11718706	C₂²	1	1	yes	characteristic
150	#11718704	C₂²	1	1	yes	characteristic
151	#11718704	C₂²	1	1	yes	characteristic
152	#11718702	C₂²	1	1	yes	characteristic
153	#11718695	C₂²	1	1	yes	characteristic
154	#11718691	C₂²	1	1	yes	characteristic
155	#11718691	C₂²	1	1	yes	characteristic
156	#11718683	C₂²	1	1	yes	characteristic
157	#11718681	C₂²	1	1	yes	characteristic
158	#11718672	C₂²	1	1	yes	characteristic
159	D₁₃×#106	C₂²	1	1	yes	characteristic
160	#11718517	C₂²	1	1	yes	characteristic
161	#11718516	C₂²	1	1	yes	characteristic
162	#11718514	C₂²	1	1	yes	characteristic
163	#11718512	C₂²	1	1	yes	characteristic
164	#11718496	C₂²	1	1	yes	characteristic
165	#11718490	C₂²	1	1	yes	characteristic
166	#11718489	C₂²	1	1	yes	characteristic
167	#11718470	C₂²	1	1	yes	characteristic
168	#11718466	C₂²	1	1	yes	characteristic
169	#11718466	C₂²	1	1	yes	characteristic
170	D₁₃×#103	C₂²	1	1	yes	characteristic
171	D₁₃×#103	C₂²	1	1	yes	characteristic
172	#11718458	C₂²	1	1	yes	characteristic
173	#11718457	C₂²	1	1	yes	characteristic
174	#11718457	C₂²	1	1	yes	characteristic
175	#11718455	C₂²	1	1	yes	characteristic
176	#11718453	C₂²	1	1	yes	characteristic
177	#11718453	C₂²	1	1	yes	characteristic
178	#11718452	C₂²	1	1	yes	characteristic
179	#11718452	C₂²	1	1	yes	characteristic
180	#11718452	C₂²	1	1	yes	characteristic
181	#11718452	C₂²	1	1	yes	characteristic
182	#11718450	C₂²	1	1	yes	characteristic
183	#11718450	C₂²	1	1	yes	characteristic
184	#11718450	C₂²	1	1	yes	characteristic
185	#11718450	C₂²	1	1	yes	characteristic
186	#11718450	C₂²	1	1	yes	characteristic
187	#11718438	C₂²	1	1	yes	characteristic
188	#11718426	C₂²	1	1	yes	characteristic
189	#11718422	C₂²	1	1	yes	characteristic
190	#11718418	C₂²	1	1	yes	characteristic
191	#11718389	C₂²	1	1	yes	characteristic
192	#11718386	C₂²	1	1	yes	characteristic
193	#11718384	C₂²	1	1	yes	characteristic
194	#11718383	C₂²	1	1	yes	characteristic
195	#11718382	C₂²	1	1	yes	characteristic
196	#11718382	C₂²	1	1	yes	characteristic
197	#11718380	C₂²	1	1	yes	characteristic
198	#11718380	C₂²	1	1	yes	characteristic
199	#11718377	C₂²	1	1	yes	characteristic
200	D₁₃×#97	C₂²	1	1	yes	characteristic
201	#11718363	C₂²	1	1	yes	characteristic
202	#11718362	C₂²	1	1	yes	characteristic
203	C₂×C₁₃×#41	C₂³	1	1	yes	characteristic
204	C₂²×Q₈×C₁₃	C₂³	1	1	yes	characteristic
205	C₂²×Q₈×C₁₃	C₂³	1	1	yes	characteristic
206	C₂²×Q₈×C₁₃	C₂³	1	1	yes	characteristic
207	C₂×Q₈×D₁₃	C₂³	1	1	yes	characteristic
208	C₂×Q₈×D₁₃	C₂³	1	1	yes	characteristic
209	C₂×#6129	—	2	1	no	—
210	C₂×#6129	D₄	1	1	yes	characteristic
211	C₁₃×#137	—	2	4	no	—
212	C₂×C₁₃×Q₁₆	—	2	4	no	—
213	C₂×C₁₃×Q₁₆	C₂³	1	1	yes	characteristic
214	C₂×C₁₃×Q₁₆	C₂³	1	1	yes	characteristic
215	C₂×C₁₃×Q₁₆	C₂³	1	1	yes	characteristic
216	C₂×C₁₃×Q₁₆	C₂³	1	1	yes	characteristic
217	C₂×C₁₃×Q₁₆	C₂³	1	1	yes	characteristic
218	C₂×C₁₃×Q₁₆	C₂³	1	1	yes	characteristic
219	C₂×C₁₃×SD₁₆	C₂³	1	1	yes	characteristic
220	C₂×C₁₃×SD₁₆	C₂³	1	1	yes	characteristic
221	C₂×C₁₃×SD₁₆	C₂³	1	1	yes	characteristic
222	C₂×C₁₃×M₁₆	C₂³	1	1	yes	characteristic
223	C₂²×C₈×C₁₃	C₂³	1	1	yes	characteristic
224	C₁₃×C₄⋊Q₈	—	2	1	no	—
225	C₁₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
226	C₁₃×#124	—	2	1	no	—
227	C₁₃×#124	C₂³	1	1	yes	characteristic
228	C₁₃×C₂²⋊Q₈	—	2	1	no	—
229	C₁₃×C₂²⋊Q₈	—	2	1	no	—
230	C₁₃×C₂²⋊Q₈	—	2	1	no	—
231	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
232	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
233	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
234	C₁₃×#121	—	2	1	no	—
235	C₁₃×#121	C₂³	1	1	yes	characteristic
236	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
237	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
238	C₄×D₄×C₁₃	—	2	1	no	—
239	C₄×D₄×C₁₃	—	2	1	no	—
240	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
241	#88200	—	2	1	no	—
242	#88200	—	2	1	no	—
243	#88200	—	2	1	no	—
244	#88200	C₂³	1	1	yes	characteristic
245	#88200	C₂³	1	1	yes	characteristic
246	#88200	C₂³	1	1	yes	characteristic
247	Q₈×Dic₁₃	—	2	1	no	—
248	Q₈×Dic₁₃	—	2	1	no	—
249	Q₈×Dic₁₃	—	2	1	no	—
250	Q₈×Dic₁₃	—	2	1	no	—
251	Q₈×Dic₁₃	—	2	1	no	—
252	Q₈×Dic₁₃	—	2	1	no	—
253	Q₈×Dic₁₃	C₂³	1	1	yes	characteristic
254	Q₈×Dic₁₃	C₂³	1	1	yes	characteristic
255	Q₈×Dic₁₃	C₂³	1	1	yes	characteristic
256	Q₈×Dic₁₃	C₂³	1	1	yes	characteristic
257	Q₈×Dic₁₃	C₂³	1	1	yes	characteristic
258	Q₈×Dic₁₃	C₂³	1	1	yes	characteristic
259	Q₈×Dic₁₃	C₂³	1	1	yes	characteristic
260	Q₈×Dic₁₃	C₂³	1	1	yes	characteristic
261	Q₈×Dic₁₃	C₂³	1	1	yes	characteristic
262	Q₈×Dic₁₃	C₂³	1	1	yes	characteristic
263	Q₈×Dic₁₃	C₂³	1	1	yes	characteristic
264	Q₈×Dic₁₃	C₂³	1	1	yes	characteristic
265	#88198	—	2	1	no	—
266	#88198	—	2	1	no	—
267	#88198	—	2	1	no	—
268	#88198	C₂³	1	1	yes	characteristic
269	#88198	C₂³	1	1	yes	characteristic
270	#88198	C₂³	1	1	yes	characteristic
271	C₂×#6107	C₂³	1	1	yes	characteristic
272	C₂×#6107	C₂³	1	1	yes	characteristic
273	C₂×#6107	C₂³	1	1	yes	characteristic
274	C₂×#6107	C₂³	1	1	yes	characteristic
275	C₂×#6107	C₂³	1	1	yes	characteristic
276	#88192	—	2	1	no	—
277	#88192	C₂³	1	1	yes	characteristic
278	#88190	—	2	1	no	—
279	#88190	C₂³	1	1	yes	characteristic
280	#88189	—	2	1	no	—
281	#88189	—	2	1	no	—
282	#88189	—	2	1	no	—
283	D₄×Dic₁₃	—	2	1	no	—
284	D₄×Dic₁₃	—	2	1	no	—
285	D₄×Dic₁₃	—	2	1	no	—
286	D₄×Dic₁₃	—	2	1	no	—
287	D₄×Dic₁₃	D₄	1	1	yes	characteristic
288	D₄×Dic₁₃	C₂³	1	1	yes	characteristic
289	D₄×Dic₁₃	C₂³	1	1	yes	characteristic
290	C₂×#6105	C₂³	1	1	yes	characteristic
291	C₄×C₂²⋊D₁₃	—	2	1	no	—
292	C₄×C₂²⋊D₁₃	—	2	1	no	—
293	C₄×C₂²⋊D₁₃	—	2	1	no	—
294	C₄×C₂²⋊D₁₃	—	2	1	no	—
295	C₄×C₂²⋊D₁₃	C₂³	1	1	yes	characteristic
296	C₄×C₂²⋊D₁₃	C₂³	1	1	yes	characteristic
297	#88180	—	2	1	no	—
298	#88180	C₂³	1	1	yes	characteristic
299	C₂×C₄⋊Dic₁₃	—	2	1	no	—
300	C₂×C₄⋊Dic₁₃	—	2	1	no	—
301	C₂×C₄⋊Dic₁₃	—	2	1	no	—
302	C₂×C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic
303	C₂×C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic
304	C₂×C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic
305	#88178	—	2	1	no	—
306	#88178	—	2	1	no	—
307	#88178	—	2	1	no	—
308	#88178	—	2	1	no	—
309	#88178	C₂³	1	1	yes	characteristic
310	#88178	C₂³	1	1	yes	characteristic
311	#88178	C₂³	1	1	yes	characteristic
312	#88178	C₂³	1	1	yes	characteristic
313	C₂×C₄×Dic₁₃	—	2	1	no	—
314	C₂×C₄×Dic₁₃	—	2	1	no	—
315	C₂×C₄×Dic₁₃	—	2	1	no	—
316	C₂×C₄×Dic₁₃	—	2	1	no	—
317	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
318	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
319	C₂×#6099	C₂³	1	1	yes	characteristic
320	C₂²×#1055	C₂³	1	1	yes	characteristic
321	Q₁₆×D₁₃	—	2	4	no	—
322	C₂×Dic₅₂	C₂³	1	1	yes	characteristic
323	C₂×C₈×D₁₃	C₂³	1	1	yes	characteristic
324	C₂×C₈×D₁₃	C₂³	1	1	yes	characteristic
325	#88151	—	2	1	no	—
326	#88151	—	2	1	no	—
327	#88151	—	2	1	no	—
328	#88146	—	2	1	no	—
329	#88146	—	2	1	no	—
330	#88146	D₄	1	1	yes	characteristic
331	C₄⋊C₄×D₁₃	—	2	1	no	—
332	C₄⋊C₄×D₁₃	—	2	1	no	—
333	C₄⋊C₄×D₁₃	C₂³	1	1	yes	characteristic
334	C₄⋊C₄×D₁₃	C₂³	1	1	yes	characteristic
335	#88144	—	2	1	no	—
336	#88144	—	2	1	no	—
337	#88144	—	2	1	no	—
338	#88144	—	2	1	no	—
339	#88144	C₂³	1	1	yes	characteristic
340	#88143	—	2	1	no	—
341	#88143	—	2	1	no	—
342	#88143	—	2	1	no	—
343	#88143	—	2	1	no	—
344	#88143	—	2	1	no	—
345	#88143	—	2	1	no	—
346	#88143	—	2	1	no	—
347	#88143	—	2	1	no	—
348	#88143	—	2	1	no	—
349	#88142	—	2	1	no	—
350	#88142	—	2	1	no	—
351	#88142	—	2	1	no	—
352	#88142	C₂³	1	1	yes	characteristic
353	#88142	C₂³	1	1	yes	characteristic
354	#88142	C₂³	1	1	yes	characteristic
355	#88141	—	2	1	no	—
356	#88141	—	2	1	no	—
357	#88141	—	2	1	no	—
358	#88141	—	2	1	no	—
359	#88141	—	2	1	no	—
360	#88141	—	2	1	no	—
361	#88141	—	2	1	no	—
362	#88141	D₄	1	1	yes	characteristic
363	#88141	C₂³	1	1	yes	characteristic
364	#88141	C₂³	1	1	yes	characteristic
365	#88137	—	2	1	no	—
366	#88137	—	2	1	no	—
367	#88137	—	2	1	no	—
368	#88135	—	2	1	no	—
369	#88135	—	2	1	no	—
370	#88135	—	2	1	no	—
371	#88135	D₄	1	1	yes	characteristic
372	#88135	D₄	1	1	yes	characteristic
373	#88133	—	2	1	no	—
374	#88133	—	2	1	no	—
375	#88133	—	2	1	no	—
376	#88133	—	2	1	no	—
377	#88133	—	2	1	no	—
378	#88133	—	2	1	no	—
379	#88132	—	2	1	no	—
380	#88132	—	2	1	no	—
381	#88132	—	2	1	no	—
382	#88132	—	2	1	no	—
383	#88132	—	2	1	no	—
384	#88132	—	2	1	no	—
385	#88132	—	2	1	no	—
386	#88132	—	2	1	no	—
387	#88132	—	2	1	no	—
388	#88131	—	2	1	no	—
389	#88131	—	2	1	no	—
390	#88131	—	2	1	no	—
391	#88131	—	2	1	no	—
392	#88131	—	2	1	no	—
393	#88131	—	2	1	no	—
394	#88131	—	2	1	no	—
395	#88131	D₄	1	1	yes	characteristic
396	#88131	D₄	1	1	yes	characteristic
397	C₄²×D₁₃	—	2	1	no	—
398	C₄²×D₁₃	—	2	1	no	—
399	C₄²×D₁₃	C₂³	1	1	yes	characteristic
400	#88124	—	2	1	no	—
401	#88124	C₂³	1	1	yes	characteristic
402	#88123	—	2	1	no	—
403	#88123	C₂³	1	1	yes	characteristic
404	C₄×Dic₂₆	—	2	1	no	—
405	C₄×Dic₂₆	—	2	1	no	—
406	C₄×Dic₂₆	—	2	1	no	—
407	C₄×Dic₂₆	—	2	1	no	—
408	C₄×Dic₂₆	C₂³	1	1	yes	characteristic
409	C₄×Dic₂₆	C₂³	1	1	yes	characteristic
410	C₄×Dic₂₆	C₂³	1	1	yes	characteristic
411	C₁₃×#106	C₂³	1	1	yes	characteristic
412	C₁₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
413	C₁₃×#103	C₂³	1	1	yes	characteristic
414	C₁₃×#103	C₂³	1	1	yes	characteristic
415	C₁₃×#103	C₂³	1	1	yes	characteristic
416	C₁₃×#103	C₂³	1	1	yes	characteristic
417	C₁₃×#103	C₂³	1	1	yes	characteristic
418	C₁₃×#102	C₂³	1	1	yes	characteristic
419	C₁₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
420	C₁₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
421	C₁₃×#97	C₂³	1	1	yes	characteristic
422	#88075	C₂³	1	1	yes	characteristic
423	#88075	C₂³	1	1	yes	characteristic
424	#88075	C₂³	1	1	yes	characteristic
425	#88075	C₂³	1	1	yes	characteristic
426	#88075	C₂³	1	1	yes	characteristic
427	#88075	C₂³	1	1	yes	characteristic
428	#88075	C₂³	1	1	yes	characteristic
429	#88075	C₂³	1	1	yes	characteristic
430	#88075	C₂³	1	1	yes	characteristic
431	#88075	C₂³	1	1	yes	characteristic
432	#88075	C₂³	1	1	yes	characteristic
433	#88075	C₂³	1	1	yes	characteristic
434	#88075	C₂³	1	1	yes	characteristic
435	#88075	C₂³	1	1	yes	characteristic
436	#88075	C₂³	1	1	yes	characteristic
437	#88072	C₂³	1	1	yes	characteristic
438	#88072	C₂³	1	1	yes	characteristic
439	#88072	C₂³	1	1	yes	characteristic
440	C₂²⋊#1055	C₂³	1	1	yes	characteristic
441	C₂²⋊#1055	C₂³	1	1	yes	characteristic
442	#88060	C₂³	1	1	yes	characteristic
443	#88060	C₂³	1	1	yes	characteristic
444	#88058	C₂³	1	1	yes	characteristic
445	#88058	C₂³	1	1	yes	characteristic
446	#88058	C₂³	1	1	yes	characteristic
447	#88057	C₂³	1	1	yes	characteristic
448	#88057	C₂³	1	1	yes	characteristic
449	#88057	C₂³	1	1	yes	characteristic
450	#88057	C₂³	1	1	yes	characteristic
451	#88057	C₂³	1	1	yes	characteristic
452	#88057	C₂³	1	1	yes	characteristic
453	#88056	C₂³	1	1	yes	characteristic
454	#88056	C₂³	1	1	yes	characteristic
455	#88056	C₂³	1	1	yes	characteristic
456	#88056	C₂³	1	1	yes	characteristic
457	#88056	C₂³	1	1	yes	characteristic
458	#88056	C₂³	1	1	yes	characteristic
459	#88055	C₂³	1	1	yes	characteristic
460	#88055	C₂³	1	1	yes	characteristic
461	#88055	C₂³	1	1	yes	characteristic
462	#88055	C₂³	1	1	yes	characteristic
463	#88055	C₂³	1	1	yes	characteristic
464	#88055	C₂³	1	1	yes	characteristic
465	#88054	C₂³	1	1	yes	characteristic
466	#88054	C₂³	1	1	yes	characteristic
467	#88054	C₂³	1	1	yes	characteristic
468	#88054	C₂³	1	1	yes	characteristic
469	C₈×Dic₁₃	C₂³	1	1	yes	characteristic
470	C₈×Dic₁₃	C₂³	1	1	yes	characteristic
471	#88050	C₂³	1	1	yes	characteristic
472	#88050	C₂³	1	1	yes	characteristic
473	#88048	C₂³	1	1	yes	characteristic
474	#88048	C₂³	1	1	yes	characteristic
475	#88048	C₂³	1	1	yes	characteristic
476	#88048	C₂³	1	1	yes	characteristic
477	#88048	C₂³	1	1	yes	characteristic
478	#88047	C₂³	1	1	yes	characteristic
479	C₄⋊#1055	C₂³	1	1	yes	characteristic
480	#88043	C₂³	1	1	yes	characteristic
481	#61457	—	13	1	no	maximal, Sylow
482	C₁₃×#41	—	2	2	no	—
483	C₁₃×#41	—	4	1	no	—
484	C₂×Q₈×C₁₃	—	2	1	no	—
485	C₂×Q₈×C₁₃	—	2	1	no	—
486	C₂×Q₈×C₁₃	—	2	1	no	—
487	C₂×Q₈×C₁₃	—	2	2	no	—
488	C₂×Q₈×C₁₃	—	2	2	no	—
489	C₂×Q₈×C₁₃	—	2	2	no	—
490	C₂×Q₈×C₁₃	—	4	1	no	—
491	C₂×Q₈×C₁₃	—	4	1	no	—
492	C₂×Q₈×C₁₃	—	4	1	no	—
493	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
494	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
495	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
496	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
497	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
498	C₂×D₄×C₁₃	—	2	1	no	—
499	C₂×D₄×C₁₃	—	2	1	no	—
500	C₂×D₄×C₁₃	C₂×D₄	1	1	yes	characteristic
501	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
502	C₂²×C₄×C₁₃	—	2	1	no	—
503	C₂²×C₄×C₁₃	—	2	1	no	—
504	C₂²×C₄×C₁₃	—	2	1	no	—
505	C₂²×C₄×C₁₃	—	2	1	no	—
506	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
507	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
508	C₂×C₂²⋊D₁₃	—	2	1	no	—
509	C₂×C₂²⋊D₁₃	C₂×D₄	1	1	yes	characteristic
510	C₂×C₂²⋊D₁₃	C₂×D₄	1	1	yes	characteristic
511	C₂²×Dic₁₃	—	2	1	no	—
512	C₂²×Dic₁₃	—	2	1	no	—
513	C₂²×Dic₁₃	—	2	1	no	—
514	C₂²×Dic₁₃	—	2	1	no	—
515	C₂²×Dic₁₃	—	2	1	no	—
516	C₂²×Dic₁₃	C₂×D₄	1	1	yes	characteristic
517	C₂²×Dic₁₃	C₂×D₄	1	1	yes	characteristic
518	C₂²×Dic₁₃	C₂×D₄	1	1	yes	characteristic
519	C₂²×Dic₁₃	C₂×D₄	1	1	yes	characteristic
520	Q₈×D₁₃	—	2	2	no	—
521	Q₈×D₁₃	—	2	2	no	—
522	Q₈×D₁₃	—	4	1	no	—
523	Q₈×D₁₃	—	4	1	no	—
524	#6129	—	2	4	no	—
525	#6129	—	4	4	no	—
526	C₂×C₄×D₁₃	—	2	1	no	—
527	C₂×C₄×D₁₃	—	2	1	no	—
528	C₂×C₄×D₁₃	—	2	1	no	—
529	C₂×C₄×D₁₃	—	2	1	no	—
530	C₂×C₄×D₁₃	C₂×D₄	1	1	yes	characteristic
531	C₂×C₄×D₁₃	C₂×D₄	1	1	yes	characteristic
532	C₂×C₄×D₁₃	C₂⁴	1	1	yes	characteristic
533	C₂×Dic₂₆	—	2	1	no	—
534	C₂×Dic₂₆	—	2	1	no	—
535	C₂×Dic₂₆	—	2	1	no	—
536	C₂×Dic₂₆	—	2	1	no	—
537	C₂×Dic₂₆	—	2	1	no	—
538	C₂×Dic₂₆	—	2	1	no	—
539	C₂×Dic₂₆	C₂×D₄	1	1	yes	characteristic
540	C₂×Dic₂₆	C₂⁴	1	1	yes	characteristic
541	C₂×Dic₂₆	C₂⁴	1	1	yes	characteristic
542	C₁₃×Q₁₆	—	2	2	no	—
543	C₁₃×Q₁₆	—	2	2	no	—
544	C₁₃×Q₁₆	—	2	2	no	—
545	C₁₃×Q₁₆	—	2	2	no	—
546	C₁₃×Q₁₆	—	4	1	no	—
547	C₁₃×Q₁₆	#41	1	4	yes	complemented
548	C₁₃×SD₁₆	—	2	2	no	—
549	C₁₃×SD₁₆	—	2	2	no	—
550	C₁₃×SD₁₆	—	4	1	no	—
551	C₁₃×M₁₆	—	2	2	no	—
552	C₂×C₈×C₁₃	—	2	2	no	—
553	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
554	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
555	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
556	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
557	C₁₃×C₄⋊C₄	—	2	1	no	—
558	C₁₃×C₄⋊C₄	—	2	1	no	—
559	C₁₃×C₄⋊C₄	—	2	1	no	—
560	C₁₃×C₄⋊C₄	—	2	1	no	—
561	C₁₃×C₄⋊C₄	—	2	1	no	—
562	C₁₃×C₄⋊C₄	—	2	1	no	—
563	C₁₃×C₄⋊C₄	—	2	1	no	—
564	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
565	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
566	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
567	C₁₃×C₂²⋊C₄	—	2	1	no	—
568	C₁₃×C₂²⋊C₄	—	2	1	no	—
569	C₁₃×C₂²⋊C₄	—	2	1	no	—
570	C₁₃×C₂²⋊C₄	—	2	1	no	—
571	C₁₃×C₂²⋊C₄	—	2	1	no	—
572	C₁₃×C₂²⋊C₄	—	2	1	no	—
573	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
574	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
575	C₄²×C₁₃	—	2	1	no	—
576	C₄²×C₁₃	—	2	1	no	—
577	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
578	C₂²⋊Dic₁₃	—	2	1	no	—
579	C₂²⋊Dic₁₃	—	2	1	no	—
580	C₂²⋊Dic₁₃	—	2	1	no	—
581	C₂²⋊Dic₁₃	—	2	1	no	—
582	C₂²⋊Dic₁₃	—	2	1	no	—
583	C₂²⋊Dic₁₃	—	2	1	no	—
584	C₂²⋊Dic₁₃	—	2	1	no	—
585	C₂²⋊Dic₁₃	—	2	1	no	—
586	C₂²⋊Dic₁₃	—	2	1	no	—
587	C₂²⋊Dic₁₃	—	2	1	no	—
588	C₂²⋊Dic₁₃	C₂×D₄	1	1	yes	characteristic
589	C₂²⋊Dic₁₃	C₂×D₄	1	1	yes	characteristic
590	#6107	—	2	2	no	—
591	#6107	—	2	2	no	—
592	#6107	—	4	1	no	—
593	#6107	—	4	1	no	—
594	#6107	—	4	1	no	—
595	#6105	—	4	1	no	—
596	#6103	—	2	1	no	—
597	#6103	—	2	1	no	—
598	#6103	—	2	1	no	—
599	#6103	C₂×D₄	1	1	yes	characteristic
600	#6103	C₂×D₄	1	1	yes	characteristic
601	C₄⋊Dic₁₃	—	2	1	no	—
602	C₄⋊Dic₁₃	—	2	1	no	—
603	C₄⋊Dic₁₃	—	2	1	no	—
604	C₄⋊Dic₁₃	—	2	1	no	—
605	C₄⋊Dic₁₃	—	2	1	no	—
606	C₄⋊Dic₁₃	—	2	1	no	—
607	C₄⋊Dic₁₃	—	2	1	no	—
608	C₄⋊Dic₁₃	—	2	1	no	—
609	C₄⋊Dic₁₃	—	2	1	no	—
610	C₄⋊Dic₁₃	—	2	1	no	—
611	C₄⋊Dic₁₃	—	2	1	no	—
612	C₄⋊Dic₁₃	—	2	1	no	—
613	C₄⋊Dic₁₃	—	2	1	no	—
614	C₄⋊Dic₁₃	—	2	1	no	—
615	C₄⋊Dic₁₃	—	2	1	no	—
616	C₄⋊Dic₁₃	—	2	1	no	—
617	C₄⋊Dic₁₃	—	2	1	no	—
618	C₄⋊Dic₁₃	C₂×D₄	1	1	yes	characteristic
619	C₄⋊Dic₁₃	C₂⁴	1	1	yes	characteristic
620	C₄⋊Dic₁₃	C₂⁴	1	1	yes	characteristic
621	C₄⋊Dic₁₃	C₂⁴	1	1	yes	characteristic
622	C₄⋊Dic₁₃	C₂⁴	1	1	yes	characteristic
623	C₄⋊Dic₁₃	C₂⁴	1	1	yes	characteristic
624	C₄⋊Dic₁₃	C₂⁴	1	1	yes	characteristic
625	#6101	—	2	1	no	—
626	#6101	—	2	1	no	—
627	#6101	—	2	1	no	—
628	#6101	—	2	1	no	—
629	#6101	—	2	1	no	—
630	#6101	—	2	1	no	—
631	#6101	—	2	1	no	—
632	#6101	—	2	1	no	—
633	#6101	—	2	1	no	—
634	#6101	—	2	1	no	—
635	#6101	—	2	1	no	—
636	#6101	—	2	1	no	—
637	#6101	—	2	1	no	—
638	#6101	—	2	1	no	—
639	#6101	—	2	1	no	—
640	#6101	—	2	1	no	—
641	#6101	—	2	1	no	—
642	#6101	—	2	1	no	—
643	#6101	—	2	1	no	—
644	#6101	—	2	1	no	—
645	#6101	—	2	1	no	—
646	#6101	—	2	1	no	—
647	#6101	—	2	1	no	—
648	#6101	—	2	1	no	—
649	#6101	—	2	1	no	—
650	#6101	C₂×D₄	1	1	yes	characteristic
651	#6101	C₂×D₄	1	1	yes	characteristic
652	#6101	C₂×D₄	1	1	yes	characteristic
653	#6101	C₂×D₄	1	1	yes	characteristic
654	C₄×Dic₁₃	—	2	1	no	—
655	C₄×Dic₁₃	—	2	1	no	—
656	C₄×Dic₁₃	—	2	1	no	—
657	C₄×Dic₁₃	—	2	1	no	—
658	C₄×Dic₁₃	—	2	1	no	—
659	C₄×Dic₁₃	—	2	1	no	—
660	C₄×Dic₁₃	—	2	1	no	—
661	C₄×Dic₁₃	—	2	1	no	—
662	C₄×Dic₁₃	—	2	1	no	—
663	C₄×Dic₁₃	—	2	1	no	—
664	C₄×Dic₁₃	—	2	1	no	—
665	C₄×Dic₁₃	—	2	1	no	—
666	C₄×Dic₁₃	—	2	1	no	—
667	C₄×Dic₁₃	—	2	1	no	—
668	C₄×Dic₁₃	—	2	1	no	—
669	C₄×Dic₁₃	—	2	1	no	—
670	C₄×Dic₁₃	—	2	1	no	—
671	C₄×Dic₁₃	C₂×D₄	1	1	yes	characteristic
672	C₄×Dic₁₃	C₂×D₄	1	1	yes	characteristic
673	C₄×Dic₁₃	C₂×D₄	1	1	yes	characteristic
674	C₄×Dic₁₃	C₂×D₄	1	1	yes	characteristic
675	C₄×Dic₁₃	C₂×D₄	1	1	yes	characteristic
676	C₄×Dic₁₃	C₂×D₄	1	1	yes	characteristic
677	C₄×Dic₁₃	C₂⁴	1	1	yes	characteristic
678	C₄×Dic₁₃	C₂⁴	1	1	yes	characteristic
679	C₄×Dic₁₃	C₂⁴	1	1	yes	characteristic
680	#6099	—	4	1	no	—
681	C₂×#1055	—	4	1	no	—
682	C₂×#1055	C₂⁴	1	1	yes	characteristic
683	C₂×#1055	C₂⁴	1	1	yes	characteristic
684	C₂×#1055	C₂⁴	1	1	yes	characteristic
685	C₂×#1055	C₂⁴	1	1	yes	characteristic
686	Dic₅₂	—	2	2	no	—
687	C₈×D₁₃	—	2	2	no	—
688	C₈×D₁₃	—	4	1	no	—
689	#3482	—	13	1	no	—
690	Q₈×#41	—	13	1	no	—
691	#3398	—	13	1	no	—
692	#3387	—	13	1	no	—
693	#3374	—	13	1	no	—
694	#3369	—	13	1	no	—
695	#3344	—	13	1	no	—
696	#3344	—	13	1	no	—
697	#3335	—	13	1	no	—
698	#3316	—	13	1	no	—
699	#3316	—	13	1	no	—
700	#3312	—	13	1	no	—
701	#3312	—	13	1	no	—
702	#3299	—	13	1	no	—
703	#3298	—	13	1	no	—
704	D₄×Q₁₆	—	13	1	no	—
705	#3270	—	13	1	no	—
706	#3270	D₁₃	1	1	yes	characteristic, complemented
707	#3185	—	13	1	no	—
708	#3181	—	13	1	no	—
709	#3181	—	13	1	no	—
710	#3117	—	13	1	no	—
711	#3117	—	13	1	no	—
712	#3116	—	13	1	no	—
713	#3113	—	13	1	no	—
714	#3113	—	13	1	no	—
715	#3113	—	13	1	no	—
716	#2970	—	13	1	no	—
717	C₄×#137	—	13	1	no	—
718	C₂×#441	—	13	1	no	—
719	C₂×#441	—	13	1	no	—
720	C₂³×C₁₃	—	2	1	no	—
721	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
722	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
723	C₂²×D₁₃	C₂²×D₄	1	1	yes	characteristic
724	Q₈×C₁₃	—	2	1	no	—
725	Q₈×C₁₃	—	2	1	no	—
726	Q₈×C₁₃	—	2	1	no	—
727	Q₈×C₁₃	—	2	1	no	—
728	Q₈×C₁₃	—	2	1	no	—
729	Q₈×C₁₃	—	2	1	no	—
730	Q₈×C₁₃	—	2	1	no	—
731	Q₈×C₁₃	—	2	1	no	—
732	Q₈×C₁₃	—	4	2	no	—
733	Q₈×C₁₃	—	4	2	no	—
734	Q₈×C₁₃	—	4	2	no	—
735	Q₈×C₁₃	C₂×#41	1	2	yes	—
736	Q₈×C₁₃	C₂×#41	1	2	yes	—
737	D₄×C₁₃	—	2	2	no	—
738	D₄×C₁₃	—	2	1	no	—
739	D₄×C₁₃	—	2	1	no	—
740	D₄×C₁₃	—	4	2	no	—
741	D₄×C₁₃	—	4	2	no	—
742	C₂×C₄×C₁₃	—	2	1	no	—
743	C₂×C₄×C₁₃	—	2	1	no	—
744	C₂×C₄×C₁₃	—	2	1	no	—
745	C₂×C₄×C₁₃	—	2	1	no	—
746	C₂×C₄×C₁₃	—	2	1	no	—
747	C₂×C₄×C₁₃	—	2	1	no	—
748	C₂×C₄×C₁₃	—	2	1	no	—
749	C₂×C₄×C₁₃	—	2	1	no	—
750	C₂×C₄×C₁₃	—	2	1	no	—
751	C₂×C₄×C₁₃	—	2	1	no	—
752	C₂×C₄×C₁₃	—	2	1	no	—
753	C₂×C₄×C₁₃	—	4	2	no	—
754	C₂×C₄×C₁₃	—	4	2	no	—
755	C₂×C₄×C₁₃	—	4	2	no	—
756	C₂×C₄×C₁₃	—	4	2	no	—
757	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
758	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
759	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
760	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
761	C₂×C₄×C₁₃	C₂⁵	1	1	yes	characteristic
762	C₂²⋊D₁₃	—	2	2	no	—
763	C₂²⋊D₁₃	—	4	2	no	—
764	C₂²⋊D₁₃	#137	1	4	yes	complemented
765	C₂×Dic₁₃	—	2	2	no	—
766	C₂×Dic₁₃	—	2	2	no	—
767	C₂×Dic₁₃	—	2	1	no	—
768	C₂×Dic₁₃	—	2	1	no	—
769	C₂×Dic₁₃	—	2	1	no	—
770	C₂×Dic₁₃	—	2	1	no	—
771	C₂×Dic₁₃	—	2	1	no	—
772	C₂×Dic₁₃	—	2	1	no	—
773	C₂×Dic₁₃	—	2	1	no	—
774	C₂×Dic₁₃	—	2	1	no	—
775	C₂×Dic₁₃	—	4	1	no	—
776	C₂×Dic₁₃	—	4	1	no	—
777	C₂×Dic₁₃	—	4	2	no	—
778	C₂×Dic₁₃	—	4	2	no	—
779	C₂×Dic₁₃	—	4	2	no	—
780	C₂×Dic₁₃	—	8	1	no	—
781	C₂×Dic₁₃	—	8	1	no	—
782	C₂×Dic₁₃	C₂²×D₄	1	1	yes	characteristic
783	C₂×Dic₁₃	C₂²×D₄	1	1	yes	characteristic
784	C₂×Dic₁₃	C₂²×D₄	1	1	yes	characteristic
785	C₂×Dic₁₃	C₂²×D₄	1	1	yes	characteristic
786	C₂×Dic₁₃	C₂²×D₄	1	1	yes	characteristic
787	C₂×Dic₁₃	C₂²×D₄	1	1	yes	characteristic
788	C₂×Dic₁₃	C₂²×D₄	1	1	yes	characteristic
789	C₄×D₁₃	—	2	2	no	—
790	C₄×D₁₃	—	2	1	no	—
791	C₄×D₁₃	—	2	1	no	—
792	C₄×D₁₃	—	4	1	no	—
793	C₄×D₁₃	—	4	2	no	—
794	C₄×D₁₃	—	4	2	no	—
795	C₄×D₁₃	—	4	2	no	—
796	C₄×D₁₃	—	8	1	no	—
797	Dic₂₆	—	2	2	no	—
798	Dic₂₆	—	2	1	no	—
799	Dic₂₆	—	2	1	no	—
800	Dic₂₆	—	2	1	no	—
801	Dic₂₆	—	2	1	no	—
802	Dic₂₆	—	4	2	no	—
803	Dic₂₆	—	4	2	no	—
804	Dic₂₆	—	4	2	no	—
805	Dic₂₆	—	8	1	no	—
806	Dic₂₆	—	8	1	no	—
807	Dic₂₆	—	8	1	no	—
808	C₈×C₁₃	—	2	1	no	—
809	C₈×C₁₃	—	2	1	no	—
810	C₈×C₁₃	—	2	1	no	—
811	C₈×C₁₃	C₂×#41	1	2	yes	—
812	#1055	—	2	1	no	—
813	#1055	—	2	1	no	—
814	#1055	—	2	1	no	—
815	#1055	—	2	1	no	—
816	C₂×#137	C₂×D₁₃	1	1	yes	characteristic
817	C₂²×Q₁₆	—	13	1	no	—
818	C₂²×Q₁₆	C₂×D₁₃	1	1	yes	characteristic
819	Q₈²	—	13	1	no	—
820	#557	—	13	1	no	—
821	#557	—	13	1	no	—
822	#557	—	26	1	no	—
823	#556	—	13	1	no	—
824	#556	—	26	1	no	—
825	#554	—	13	1	no	—
826	#554	—	13	1	no	—
827	#554	—	13	1	no	—
828	#554	—	26	1	no	—
829	#554	—	26	1	no	—
830	#554	—	26	1	no	—
831	#552	—	13	1	no	—
832	#552	—	13	1	no	—
833	#552	—	26	1	no	—
834	#552	—	26	1	no	—
835	D₄×Q₈	—	13	1	no	—
836	D₄×Q₈	—	13	1	no	—
837	D₄×Q₈	—	13	1	no	—
838	D₄×Q₈	C₂×D₁₃	1	1	yes	characteristic
839	#548	—	13	1	no	—
840	#548	C₂×D₁₃	1	1	yes	characteristic
841	#547	—	13	1	no	—
842	#547	—	26	1	no	—
843	#533	—	13	1	no	—
844	#533	—	13	1	no	—
845	#533	—	13	1	no	—
846	#533	—	13	1	no	—
847	#533	—	26	1	no	—
848	#533	—	26	1	no	—
849	#533	—	26	1	no	—
850	#533	—	26	1	no	—
851	#529	—	13	1	no	—
852	#529	—	13	1	no	—
853	#529	—	26	1	no	—
854	#529	—	26	1	no	—
855	C₄×#41	—	13	1	no	—
856	C₄×#41	—	13	1	no	—
857	C₄×#41	—	26	1	no	—
858	C₄×#41	—	26	1	no	—
859	C₂×C₄×Q₈	—	13	1	no	—
860	C₂×C₄×Q₈	—	13	1	no	—
861	C₂×C₄×Q₈	—	13	1	no	—
862	C₂×C₄×Q₈	—	13	1	no	—
863	C₂×C₄×Q₈	—	13	1	no	—
864	#501	—	13	1	no	—
865	#501	—	13	1	no	—
866	#498	—	13	1	no	—
867	#497	—	13	1	no	—
868	#497	C₂×D₁₃	1	1	yes	characteristic
869	#494	—	13	1	no	—
870	#491	—	13	1	no	—
871	#491	—	13	1	no	—
872	#489	—	13	1	no	—
873	#489	—	13	1	no	—
874	#487	—	13	1	no	—
875	#487	—	13	1	no	—
876	#485	—	13	1	no	—
877	#485	—	13	1	no	—
878	#484	—	13	1	no	—
879	#484	—	13	1	no	—
880	#483	—	13	1	no	—
881	#483	—	13	1	no	—
882	#483	—	13	1	no	—
883	#483	—	13	1	no	—
884	#483	—	13	1	no	—
885	#483	—	13	1	no	—
886	#481	—	13	1	no	—
887	#481	—	13	1	no	—
888	#479	—	13	1	no	—
889	#479	—	13	1	no	—
890	#479	—	13	1	no	—
891	#479	—	13	1	no	—
892	#477	—	13	1	no	—
893	#476	—	13	1	no	—
894	#475	—	13	1	no	—
895	#475	—	13	1	no	—
896	#475	—	13	1	no	—
897	#475	—	13	1	no	—
898	#475	—	13	1	no	—
899	#475	—	13	1	no	—
900	#470	—	13	1	no	—
901	#470	—	13	1	no	—
902	#470	—	13	1	no	—
903	#470	C₂×D₁₃	1	1	yes	characteristic
904	#467	—	13	1	no	—
905	#467	—	13	1	no	—
906	#467	—	13	1	no	—
907	#467	—	13	1	no	—
908	#465	—	13	1	no	—
909	#465	—	13	1	no	—
910	#465	—	13	1	no	—
911	#465	C₂×D₁₃	1	1	yes	characteristic
912	#464	—	13	1	no	—
913	#464	—	13	1	no	—
914	#464	—	13	1	no	—
915	#464	C₂×D₁₃	1	1	yes	characteristic
916	#462	—	13	1	no	—
917	#462	—	13	1	no	—
918	#462	—	13	1	no	—
919	#462	—	13	1	no	—
920	#462	—	13	1	no	—
921	#462	—	13	1	no	—
922	#462	C₂×D₁₃	1	1	yes	characteristic
923	#461	—	13	1	no	—
924	#452	—	13	1	no	—
925	#452	C₂×D₁₃	1	1	yes	characteristic
926	#451	—	13	1	no	—
927	#451	—	13	1	no	—
928	#451	—	13	1	no	—
929	#451	—	13	1	no	—
930	#451	—	13	1	no	—
931	#451	—	13	1	no	—
932	#451	C₂×D₁₃	1	1	yes	characteristic
933	#451	C₂×D₁₃	1	1	yes	characteristic
934	#448	—	13	1	no	—
935	#448	C₂×D₁₃	1	1	yes	characteristic
936	#446	—	13	1	no	—
937	#446	—	13	1	no	—
938	#441	—	13	1	no	—
939	#441	—	13	1	no	—
940	#441	—	13	1	no	—
941	#441	—	13	1	no	—
942	#441	—	13	1	no	—
943	#441	—	13	1	no	—
944	#441	—	13	1	no	—
945	#441	—	13	1	no	—
946	#441	—	13	1	no	—
947	#441	—	13	1	no	—
948	#441	—	13	1	no	—
949	#441	—	13	1	no	—
950	#441	—	13	1	no	—
951	#441	—	13	1	no	—
952	#441	—	13	1	no	—
953	#441	—	13	1	no	—
954	#441	—	13	1	no	—
955	#441	—	13	1	no	—
956	#441	—	13	1	no	—
957	#441	C₂×D₁₃	1	1	yes	characteristic
958	#440	—	13	1	no	—
959	#440	—	13	1	no	—
960	#440	—	13	1	no	—
961	#440	—	13	1	no	—
962	C₄×Q₁₆	—	13	1	no	—
963	C₄×Q₁₆	—	13	1	no	—
964	C₄×SD₁₆	—	13	1	no	—
965	C₄×SD₁₆	—	13	1	no	—
966	#435	—	13	1	no	—
967	#435	—	13	1	no	—
968	#435	—	13	1	no	—
969	#435	C₂×D₁₃	1	1	yes	characteristic
970	C₈×D₄	—	13	1	no	—
971	C₈×D₄	—	13	1	no	—
972	#432	—	13	1	no	—
973	#432	—	13	1	no	—
974	#432	—	13	1	no	—
975	#428	—	13	1	no	—
976	C₂×#106	—	13	1	no	—
977	C₂×#106	—	13	1	no	—
978	#419	—	13	1	no	—
979	#417	—	13	1	no	—
980	C₂×#103	—	13	1	no	—
981	C₂×#103	—	13	1	no	—
982	C₂×#103	—	13	1	no	—
983	C₂×#103	—	13	1	no	—
984	C₄×M₁₆	—	13	1	no	—
985	C₂×#97	—	13	1	no	—
986	C₂×#97	—	13	1	no	—
987	C₂²×C₁₃	—	2	1	no	—
988	C₂²×C₁₃	—	2	1	no	—
989	C₂²×C₁₃	—	2	1	no	—
990	C₂²×C₁₃	—	2	1	no	—
991	C₂²×C₁₃	—	2	1	no	—
992	C₂²×C₁₃	—	4	1	no	—
993	C₂²×C₁₃	—	4	1	no	—
994	C₂²×C₁₃	—	4	1	no	—
995	C₂²×C₁₃	C₂×#137	1	2	yes	—
996	C₂²×C₁₃	C₂³×D₄	1	1	yes	characteristic
997	C₂×D₁₃	—	2	1	no	—
998	C₂×D₁₃	—	2	1	no	—
999	C₂×D₁₃	C₂×#137	1	2	yes	—
1000	C₄×C₁₃	—	2	1	no	—
1001	C₄×C₁₃	—	2	2	no	—
1002	C₄×C₁₃	—	2	2	no	—
1003	C₄×C₁₃	—	2	1	no	—
1004	C₄×C₁₃	—	2	1	no	—
1005	C₄×C₁₃	—	2	1	no	—
1006	C₄×C₁₃	—	4	1	no	—
1007	C₄×C₁₃	—	4	1	no	—
1008	C₄×C₁₃	—	4	1	no	—
1009	C₄×C₁₃	—	4	1	no	—
1010	C₄×C₁₃	—	4	1	no	—
1011	C₄×C₁₃	C₂²×#41	1	1	yes	characteristic
1012	C₄×C₁₃	#585	1	1	yes	characteristic
1013	Dic₁₃	—	2	1	no	—
1014	Dic₁₃	—	2	1	no	—
1015	Dic₁₃	—	2	1	no	—
1016	Dic₁₃	—	2	1	no	—
1017	Dic₁₃	—	2	1	no	—
1018	Dic₁₃	—	2	1	no	—
1019	Dic₁₃	—	4	1	no	—
1020	Dic₁₃	—	4	1	no	—
1021	Dic₁₃	—	4	1	no	—
1022	Dic₁₃	—	4	1	no	—
1023	Dic₁₃	—	4	1	no	—
1024	Dic₁₃	—	4	1	no	—
1025	Dic₁₃	—	4	1	no	—
1026	Dic₁₃	—	4	1	no	—
1027	Dic₁₃	C₂×#137	1	2	yes	—
1028	C₂×#41	—	13	1	no	—
1029	C₂×#41	—	26	1	no	—
1030	C₂×#41	C₂²×D₁₃	1	1	yes	characteristic
1031	C₂²×Q₈	—	13	1	no	—
1032	C₂²×Q₈	—	13	1	no	—
1033	C₂²×Q₈	C₂²×D₁₃	1	1	yes	characteristic
1034	C₂²×Q₈	C₂²×D₁₃	1	1	yes	characteristic
1035	C₂²×Q₈	C₂²×D₁₃	1	1	yes	characteristic
1036	#137	—	2	4	no	—
1037	C₂×Q₁₆	—	2	4	no	—
1038	C₂×Q₁₆	—	13	1	no	—
1039	C₂×Q₁₆	—	13	1	no	—
1040	C₂×Q₁₆	—	13	1	no	—
1041	C₂×Q₁₆	—	13	1	no	—
1042	C₂×Q₁₆	—	13	1	no	—
1043	C₂×Q₁₆	—	13	1	no	—
1044	C₂×Q₁₆	—	26	4	no	—
1045	C₂×Q₁₆	C₂²×D₁₃	1	1	yes	characteristic
1046	C₂×Q₁₆	C₂²×D₁₃	1	1	yes	characteristic
1047	C₂×Q₁₆	C₂²×D₁₃	1	1	yes	characteristic
1048	C₂×Q₁₆	C₂²×D₁₃	1	1	yes	characteristic
1049	C₂×Q₁₆	C₂²×D₁₃	1	1	yes	characteristic
1050	C₂×Q₁₆	C₂²×D₁₃	1	1	yes	characteristic
1051	C₂×SD₁₆	—	13	1	no	—
1052	C₂×SD₁₆	C₂²×D₁₃	1	1	yes	characteristic
1053	C₂×SD₁₆	C₂²×D₁₃	1	1	yes	characteristic
1054	C₂×SD₁₆	C₂²×D₁₃	1	1	yes	characteristic
1055	C₂×M₁₆	—	13	1	no	—
1056	C₂×M₁₆	C₂²×D₁₃	1	1	yes	characteristic
1057	C₂²×C₈	—	13	1	no	—
1058	C₂²×C₈	—	13	1	no	—
1059	C₂²×C₈	—	13	1	no	—
1060	C₂²×C₈	C₂²×D₁₃	1	1	yes	characteristic
1061	C₄⋊Q₈	—	2	1	no	—
1062	C₄⋊Q₈	—	13	1	no	—
1063	C₄⋊Q₈	—	13	1	no	—
1064	C₄⋊Q₈	—	13	1	no	—
1065	C₄⋊Q₈	—	13	1	no	—
1066	C₄⋊Q₈	—	13	1	no	—
1067	C₄⋊Q₈	—	13	1	no	—
1068	C₄⋊Q₈	—	13	1	no	—
1069	C₄⋊Q₈	—	26	1	no	—
1070	C₄⋊Q₈	—	26	1	no	—
1071	C₄⋊Q₈	—	26	1	no	—
1072	C₄⋊Q₈	—	26	1	no	—
1073	C₄⋊Q₈	—	26	1	no	—
1074	C₄⋊Q₈	—	26	1	no	—
1075	C₄⋊Q₈	—	26	1	no	—
1076	C₄⋊Q₈	C₂²×D₁₃	1	1	yes	characteristic
1077	#126	—	26	1	no	—
1078	#126	—	26	1	no	—
1079	#126	—	26	1	no	—
1080	#126	—	26	1	no	—
1081	#126	—	26	1	no	—
1082	#126	—	26	1	no	—
1083	#125	—	13	1	no	—
1084	#125	—	13	1	no	—
1085	#125	—	26	1	no	—
1086	#125	—	26	1	no	—
1087	#125	—	26	1	no	—
1088	#125	—	26	1	no	—
1089	#125	—	26	1	no	—
1090	#125	—	26	1	no	—
1091	#125	—	26	1	no	—
1092	#125	—	26	1	no	—
1093	#125	—	26	1	no	—
1094	#125	—	26	1	no	—
1095	#125	—	26	1	no	—
1096	#125	—	26	1	no	—
1097	#125	—	26	1	no	—
1098	#125	—	26	1	no	—
1099	#124	—	2	1	no	—
1100	#124	—	13	1	no	—
1101	#124	—	26	1	no	—
1102	#124	C₂²×D₁₃	1	1	yes	characteristic
1103	#123	—	26	1	no	—
1104	#123	—	26	1	no	—
1105	#123	—	26	1	no	—
1106	#123	—	26	1	no	—
1107	#123	—	26	1	no	—
1108	#123	—	26	1	no	—
1109	C₂²⋊Q₈	—	2	1	no	—
1110	C₂²⋊Q₈	—	2	1	no	—
1111	C₂²⋊Q₈	—	2	1	no	—
1112	C₂²⋊Q₈	—	13	1	no	—
1113	C₂²⋊Q₈	—	13	1	no	—
1114	C₂²⋊Q₈	—	13	1	no	—
1115	C₂²⋊Q₈	—	13	1	no	—
1116	C₂²⋊Q₈	—	13	1	no	—
1117	C₂²⋊Q₈	—	13	1	no	—
1118	C₂²⋊Q₈	—	13	1	no	—
1119	C₂²⋊Q₈	—	26	1	no	—
1120	C₂²⋊Q₈	—	26	1	no	—
1121	C₂²⋊Q₈	—	26	1	no	—
1122	C₂²⋊Q₈	—	26	1	no	—
1123	C₂²⋊Q₈	—	26	1	no	—
1124	C₂²⋊Q₈	—	26	1	no	—
1125	C₂²⋊Q₈	—	26	1	no	—
1126	C₂²⋊Q₈	—	26	1	no	—
1127	C₂²⋊Q₈	—	26	1	no	—
1128	C₂²⋊Q₈	—	26	1	no	—
1129	C₂²⋊Q₈	—	26	1	no	—
1130	C₂²⋊Q₈	—	26	1	no	—
1131	C₂²⋊Q₈	—	26	1	no	—
1132	C₂²⋊Q₈	—	26	1	no	—
1133	C₂²⋊Q₈	—	26	1	no	—
1134	C₂²⋊Q₈	—	26	1	no	—
1135	C₂²⋊Q₈	—	26	1	no	—
1136	C₂²⋊Q₈	—	26	1	no	—
1137	C₂²⋊Q₈	—	26	1	no	—
1138	C₂²⋊Q₈	C₂²×D₁₃	1	1	yes	characteristic
1139	C₂²⋊Q₈	C₂²×D₁₃	1	1	yes	characteristic
1140	C₂²⋊Q₈	C₂²×D₁₃	1	1	yes	characteristic
1141	#121	—	2	1	no	—
1142	#121	—	13	1	no	—
1143	#121	—	26	1	no	—
1144	#121	C₂²×D₁₃	1	1	yes	characteristic
1145	C₄×Q₈	—	13	1	no	—
1146	C₄×Q₈	—	13	1	no	—
1147	C₄×Q₈	—	13	1	no	—
1148	C₄×Q₈	—	13	1	no	—
1149	C₄×Q₈	—	13	1	no	—
1150	C₄×Q₈	—	13	1	no	—
1151	C₄×Q₈	—	13	1	no	—
1152	C₄×Q₈	—	13	1	no	—
1153	C₄×Q₈	—	13	1	no	—
1154	C₄×Q₈	—	13	1	no	—
1155	C₄×Q₈	—	13	1	no	—
1156	C₄×Q₈	—	13	1	no	—
1157	C₄×Q₈	—	13	1	no	—
1158	C₄×Q₈	—	13	1	no	—
1159	C₄×Q₈	—	13	1	no	—
1160	C₄×Q₈	—	13	1	no	—
1161	C₄×Q₈	—	13	1	no	—
1162	C₄×Q₈	—	13	1	no	—
1163	C₄×Q₈	—	26	1	no	—
1164	C₄×Q₈	—	26	1	no	—
1165	C₄×Q₈	—	26	1	no	—
1166	C₄×Q₈	—	26	1	no	—
1167	C₄×Q₈	—	26	1	no	—
1168	C₄×Q₈	—	26	1	no	—
1169	C₄×Q₈	—	26	1	no	—
1170	C₄×Q₈	—	26	1	no	—
1171	C₄×Q₈	—	26	1	no	—
1172	C₄×Q₈	—	26	1	no	—
1173	C₄×Q₈	—	26	1	no	—
1174	C₄×Q₈	—	26	1	no	—
1175	C₄×Q₈	—	26	1	no	—
1176	C₄×Q₈	—	26	1	no	—
1177	C₄×Q₈	—	26	1	no	—
1178	C₄×Q₈	—	26	1	no	—
1179	C₄×Q₈	—	26	1	no	—
1180	C₄×Q₈	C₂²×D₁₃	1	1	yes	characteristic
1181	C₄×Q₈	C₂²×D₁₃	1	1	yes	characteristic
1182	C₄×D₄	—	2	1	no	—
1183	C₄×D₄	—	2	1	no	—
1184	C₄×D₄	—	13	1	no	—
1185	C₄×D₄	—	13	1	no	—
1186	C₄×D₄	—	13	1	no	—
1187	C₄×D₄	—	13	1	no	—
1188	C₄×D₄	—	13	1	no	—
1189	C₄×D₄	—	13	1	no	—
1190	C₄×D₄	—	13	1	no	—
1191	C₄×D₄	—	26	1	no	—
1192	C₄×D₄	—	26	1	no	—
1193	C₄×D₄	—	26	1	no	—
1194	C₄×D₄	—	26	1	no	—
1195	C₄×D₄	—	26	1	no	—
1196	C₄×D₄	—	26	1	no	—
1197	C₄×D₄	—	26	1	no	—
1198	C₄×D₄	—	26	1	no	—
1199	C₄×D₄	—	26	1	no	—
1200	C₄×D₄	—	26	1	no	—
1201	C₄×D₄	—	26	1	no	—
1202	C₄×D₄	C₂²×D₁₃	1	1	yes	characteristic
1203	#117	—	13	1	no	—
1204	#117	—	13	1	no	—
1205	#117	—	13	1	no	—
1206	#117	—	13	1	no	—
1207	#117	—	26	1	no	—
1208	#117	—	26	1	no	—
1209	#117	—	26	1	no	—
1210	#117	—	26	1	no	—
1211	#117	—	26	1	no	—
1212	#117	—	26	1	no	—
1213	#117	—	26	1	no	—
1214	#117	—	26	1	no	—
1215	#117	—	26	1	no	—
1216	#117	—	26	1	no	—
1217	C₂×C₄⋊C₄	—	13	1	no	—
1218	C₂×C₄⋊C₄	—	13	1	no	—
1219	C₂×C₄⋊C₄	—	13	1	no	—
1220	C₂×C₄⋊C₄	—	13	1	no	—
1221	C₂×C₄⋊C₄	—	13	1	no	—
1222	C₂×C₄⋊C₄	—	26	1	no	—
1223	C₂×C₄⋊C₄	—	26	1	no	—
1224	C₂×C₄⋊C₄	—	26	1	no	—
1225	C₂×C₄⋊C₄	—	26	1	no	—
1226	C₂×C₄⋊C₄	—	26	1	no	—
1227	C₂×C₄²	—	13	1	no	—
1228	C₂×C₄²	—	13	1	no	—
1229	C₂×C₄²	—	13	1	no	—
1230	C₂×C₄²	—	26	1	no	—
1231	C₂×C₄²	—	26	1	no	—
1232	C₂×C₄²	—	26	1	no	—
1233	C₂×C₄²	—	26	1	no	—
1234	C₂×C₄²	—	26	1	no	—
1235	C₂×C₄²	—	26	1	no	—
1236	#107	—	13	1	no	—
1237	#107	—	13	1	no	—
1238	#107	—	13	1	no	—
1239	#107	—	13	1	no	—
1240	#106	—	13	1	no	—
1241	#106	—	13	1	no	—
1242	#106	—	13	1	no	—
1243	#106	—	13	1	no	—
1244	#106	—	13	1	no	—
1245	#106	—	13	1	no	—
1246	#106	—	13	1	no	—
1247	#106	—	13	1	no	—
1248	#106	—	13	1	no	—
1249	#106	—	13	1	no	—
1250	#106	—	13	1	no	—
1251	#106	C₂²×D₁₃	1	1	yes	characteristic
1252	C₄⋊C₈	—	13	1	no	—
1253	C₄⋊C₈	—	13	1	no	—
1254	C₄⋊C₈	—	13	1	no	—
1255	C₄⋊C₈	—	13	1	no	—
1256	C₄⋊C₈	—	13	1	no	—
1257	C₄⋊C₈	C₂²×D₁₃	1	1	yes	characteristic
1258	#103	—	13	1	no	—
1259	#103	—	13	1	no	—
1260	#103	—	13	1	no	—
1261	#103	—	13	1	no	—
1262	#103	—	13	1	no	—
1263	#103	—	13	1	no	—
1264	#103	—	13	1	no	—
1265	#103	—	13	1	no	—
1266	#103	—	13	1	no	—
1267	#103	—	13	1	no	—
1268	#103	—	13	1	no	—
1269	#103	—	13	1	no	—
1270	#103	—	13	1	no	—
1271	#103	—	13	1	no	—
1272	#103	—	13	1	no	—
1273	#103	—	13	1	no	—
1274	#103	—	13	1	no	—
1275	#103	—	13	1	no	—
1276	#103	—	13	1	no	—
1277	#103	—	13	1	no	—
1278	#103	—	13	1	no	—
1279	#103	—	13	1	no	—
1280	#103	—	13	1	no	—
1281	#103	C₂²×D₁₃	1	1	yes	characteristic
1282	#103	C₂²×D₁₃	1	1	yes	characteristic
1283	#103	C₂²×D₁₃	1	1	yes	characteristic
1284	#103	C₂²×D₁₃	1	1	yes	characteristic
1285	#103	C₂²×D₁₃	1	1	yes	characteristic
1286	#102	—	13	1	no	—
1287	#102	—	13	1	no	—
1288	#102	—	13	1	no	—
1289	#102	C₂²×D₁₃	1	1	yes	characteristic
1290	C₂²⋊C₈	—	13	1	no	—
1291	C₂²⋊C₈	—	13	1	no	—
1292	C₂²⋊C₈	—	13	1	no	—
1293	C₂²⋊C₈	—	13	1	no	—
1294	C₂²⋊C₈	C₂²×D₁₃	1	1	yes	characteristic
1295	C₂²⋊C₈	C₂²×D₁₃	1	1	yes	characteristic
1296	#97	—	13	1	no	—
1297	#97	—	13	1	no	—
1298	#97	—	13	1	no	—
1299	#97	—	13	1	no	—
1300	#97	—	13	1	no	—
1301	#97	—	13	1	no	—
1302	#97	—	13	1	no	—
1303	#97	C₂²×D₁₃	1	1	yes	characteristic
1304	C₄×C₈	—	13	1	no	—
1305	C₄×C₈	—	13	1	no	—
1306	C₂×C₁₃	—	2	2	no	—
1307	C₂×C₁₃	—	4	1	no	—
1308	C₂×C₁₃	—	8	1	no	—
1309	C₂×C₁₃	D₄×#41	1	1	yes	characteristic
1310	C₂×C₁₃	C₂²×#137	1	1	yes	characteristic
1311	C₂×C₁₃	#3586	1	1	yes	characteristic
1312	D₁₃	—	2	2	no	—
1313	#41	—	2	2	no	—
1314	#41	—	4	1	no	—
1315	#41	—	26	4	no	—
1316	#41	—	52	4	no	—
1317	C₂×Q₈	—	2	1	no	—
1318	C₂×Q₈	—	2	1	no	—
1319	C₂×Q₈	—	2	1	no	—
1320	C₂×Q₈	—	2	2	no	—
1321	C₂×Q₈	—	2	2	no	—
1322	C₂×Q₈	—	2	2	no	—
1323	C₂×Q₈	—	4	1	no	—
1324	C₂×Q₈	—	4	1	no	—
1325	C₂×Q₈	—	4	1	no	—
1326	C₂×Q₈	—	13	1	no	—
1327	C₂×Q₈	—	13	1	no	—
1328	C₂×Q₈	—	13	1	no	—
1329	C₂×Q₈	—	26	1	no	—
1330	C₂×Q₈	—	26	1	no	—
1331	C₂×Q₈	—	26	1	no	—
1332	C₂×Q₈	—	26	1	no	—
1333	C₂×Q₈	—	26	1	no	—
1334	C₂×Q₈	—	26	1	no	—
1335	C₂×Q₈	—	26	2	no	—
1336	C₂×Q₈	—	26	2	no	—
1337	C₂×Q₈	—	52	1	no	—
1338	C₂×Q₈	—	52	1	no	—
1339	C₂×Q₈	C₂³×D₁₃	1	1	yes	characteristic
1340	C₂×Q₈	C₂³×D₁₃	1	1	yes	characteristic
1341	C₂×Q₈	C₂³×D₁₃	1	1	yes	characteristic
1342	C₂×Q₈	C₂³×D₁₃	1	1	yes	characteristic
1343	C₂×Q₈	C₂³×D₁₃	1	1	yes	characteristic
1344	C₂×D₄	—	2	1	no	—
1345	C₂×D₄	—	2	1	no	—
1346	C₂×D₄	—	13	1	no	—
1347	C₂×D₄	—	13	1	no	—
1348	C₂×D₄	—	26	1	no	—
1349	C₂×D₄	D₄×D₁₃	1	1	yes	characteristic
1350	C₂×D₄	C₂³×D₁₃	1	1	yes	characteristic
1351	C₂²×C₄	—	2	1	no	—
1352	C₂²×C₄	—	2	1	no	—
1353	C₂²×C₄	—	2	1	no	—
1354	C₂²×C₄	—	2	1	no	—
1355	C₂²×C₄	—	13	1	no	—
1356	C₂²×C₄	—	13	1	no	—
1357	C₂²×C₄	—	13	1	no	—
1358	C₂²×C₄	—	13	1	no	—
1359	C₂²×C₄	—	13	1	no	—
1360	C₂²×C₄	—	13	1	no	—
1361	C₂²×C₄	—	13	1	no	—
1362	C₂²×C₄	—	26	1	no	—
1363	C₂²×C₄	—	26	1	no	—
1364	C₂²×C₄	—	26	1	no	—
1365	C₂²×C₄	—	26	1	no	—
1366	C₂²×C₄	—	26	1	no	—
1367	C₂²×C₄	—	26	1	no	—
1368	C₂²×C₄	—	26	1	no	—
1369	C₂²×C₄	—	26	1	no	—
1370	C₂²×C₄	—	26	1	no	—
1371	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1372	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1373	Q₁₆	—	2	2	no	—
1374	Q₁₆	—	2	2	no	—
1375	Q₁₆	—	2	2	no	—
1376	Q₁₆	—	2	2	no	—
1377	Q₁₆	—	4	1	no	—
1378	Q₁₆	—	26	2	no	—
1379	Q₁₆	—	26	2	no	—
1380	Q₁₆	—	26	2	no	—
1381	Q₁₆	—	52	1	no	—
1382	Q₁₆	—	52	1	no	—
1383	Q₁₆	—	52	1	no	—
1384	Q₁₆	#6129	1	4	yes	complemented
1385	SD₁₆	—	2	2	no	—
1386	SD₁₆	—	2	2	no	—
1387	SD₁₆	—	4	1	no	—
1388	SD₁₆	—	52	1	no	—
1389	M₁₆	—	2	2	no	—
1390	M₁₆	—	52	1	no	—
1391	C₂×C₈	—	2	2	no	—
1392	C₂×C₈	—	13	1	no	—
1393	C₂×C₈	—	13	1	no	—
1394	C₂×C₈	—	13	1	no	—
1395	C₂×C₈	—	13	1	no	—
1396	C₂×C₈	—	26	2	no	—
1397	C₂×C₈	—	52	1	no	—
1398	C₂×C₈	—	52	1	no	—
1399	C₂×C₈	C₂³×D₁₃	1	1	yes	characteristic
1400	C₂×C₈	C₂³×D₁₃	1	1	yes	characteristic
1401	C₂×C₈	C₂³×D₁₃	1	1	yes	characteristic
1402	C₂×C₈	C₂³×D₁₃	1	1	yes	characteristic
1403	C₄⋊C₄	—	2	1	no	—
1404	C₄⋊C₄	—	2	1	no	—
1405	C₄⋊C₄	—	2	1	no	—
1406	C₄⋊C₄	—	2	1	no	—
1407	C₄⋊C₄	—	2	1	no	—
1408	C₄⋊C₄	—	2	1	no	—
1409	C₄⋊C₄	—	2	1	no	—
1410	C₄⋊C₄	—	13	1	no	—
1411	C₄⋊C₄	—	13	1	no	—
1412	C₄⋊C₄	—	13	1	no	—
1413	C₄⋊C₄	—	13	1	no	—
1414	C₄⋊C₄	—	13	1	no	—
1415	C₄⋊C₄	—	13	1	no	—
1416	C₄⋊C₄	—	13	1	no	—
1417	C₄⋊C₄	—	13	1	no	—
1418	C₄⋊C₄	—	13	1	no	—
1419	C₄⋊C₄	—	13	1	no	—
1420	C₄⋊C₄	—	13	1	no	—
1421	C₄⋊C₄	—	26	1	no	—
1422	C₄⋊C₄	—	26	1	no	—
1423	C₄⋊C₄	—	26	1	no	—
1424	C₄⋊C₄	—	26	1	no	—
1425	C₄⋊C₄	—	26	1	no	—
1426	C₄⋊C₄	—	26	1	no	—
1427	C₄⋊C₄	—	26	1	no	—
1428	C₄⋊C₄	—	26	1	no	—
1429	C₄⋊C₄	—	26	1	no	—
1430	C₄⋊C₄	—	26	1	no	—
1431	C₄⋊C₄	—	26	1	no	—
1432	C₄⋊C₄	—	26	1	no	—
1433	C₄⋊C₄	—	26	1	no	—
1434	C₄⋊C₄	—	26	1	no	—
1435	C₄⋊C₄	—	26	1	no	—
1436	C₄⋊C₄	—	26	1	no	—
1437	C₄⋊C₄	—	26	1	no	—
1438	C₄⋊C₄	—	26	1	no	—
1439	C₄⋊C₄	—	26	1	no	—
1440	C₄⋊C₄	—	26	1	no	—
1441	C₄⋊C₄	—	26	1	no	—
1442	C₄⋊C₄	—	26	1	no	—
1443	C₄⋊C₄	—	26	1	no	—
1444	C₄⋊C₄	—	26	1	no	—
1445	C₄⋊C₄	—	26	1	no	—
1446	C₄⋊C₄	—	26	1	no	—
1447	C₄⋊C₄	—	26	1	no	—
1448	C₄⋊C₄	—	26	1	no	—
1449	C₄⋊C₄	—	26	1	no	—
1450	C₄⋊C₄	—	26	1	no	—
1451	C₄⋊C₄	—	26	1	no	—
1452	C₄⋊C₄	—	26	1	no	—
1453	C₄⋊C₄	—	26	1	no	—
1454	C₄⋊C₄	—	26	1	no	—
1455	C₄⋊C₄	—	26	1	no	—
1456	C₄⋊C₄	—	26	1	no	—
1457	C₄⋊C₄	—	26	1	no	—
1458	C₄⋊C₄	—	26	1	no	—
1459	C₄⋊C₄	—	26	1	no	—
1460	C₄⋊C₄	—	26	1	no	—
1461	C₄⋊C₄	—	26	1	no	—
1462	C₄⋊C₄	—	26	1	no	—
1463	C₄⋊C₄	D₄×D₁₃	1	1	yes	characteristic
1464	C₄⋊C₄	C₂³×D₁₃	1	1	yes	characteristic
1465	C₄⋊C₄	C₂³×D₁₃	1	1	yes	characteristic
1466	C₂²⋊C₄	—	2	1	no	—
1467	C₂²⋊C₄	—	2	1	no	—
1468	C₂²⋊C₄	—	2	1	no	—
1469	C₂²⋊C₄	—	2	1	no	—
1470	C₂²⋊C₄	—	2	1	no	—
1471	C₂²⋊C₄	—	2	1	no	—
1472	C₂²⋊C₄	—	13	1	no	—
1473	C₂²⋊C₄	—	13	1	no	—
1474	C₂²⋊C₄	—	13	1	no	—
1475	C₂²⋊C₄	—	13	1	no	—
1476	C₂²⋊C₄	—	26	1	no	—
1477	C₂²⋊C₄	—	26	1	no	—
1478	C₂²⋊C₄	—	26	1	no	—
1479	C₂²⋊C₄	—	26	1	no	—
1480	C₂²⋊C₄	—	26	1	no	—
1481	C₂²⋊C₄	—	26	1	no	—
1482	C₂²⋊C₄	—	26	1	no	—
1483	C₂²⋊C₄	—	26	1	no	—
1484	C₂²⋊C₄	—	26	1	no	—
1485	C₂²⋊C₄	—	26	1	no	—
1486	C₂²⋊C₄	—	26	1	no	—
1487	C₂²⋊C₄	—	26	1	no	—
1488	C₂²⋊C₄	—	26	1	no	—
1489	C₂²⋊C₄	D₄×D₁₃	1	1	yes	characteristic
1490	C₂²⋊C₄	D₄×D₁₃	1	1	yes	characteristic
1491	C₄²	—	2	1	no	—
1492	C₄²	—	2	1	no	—
1493	C₄²	—	13	1	no	—
1494	C₄²	—	13	1	no	—
1495	C₄²	—	13	1	no	—
1496	C₄²	—	13	1	no	—
1497	C₄²	—	13	1	no	—
1498	C₄²	—	13	1	no	—
1499	C₄²	—	13	1	no	—
1500	C₄²	—	13	1	no	—
1501	C₄²	—	13	1	no	—
1502	C₄²	—	26	1	no	—
1503	C₄²	—	26	1	no	—
1504	C₄²	—	26	1	no	—
1505	C₄²	—	26	1	no	—
1506	C₄²	—	26	1	no	—
1507	C₄²	—	26	1	no	—
1508	C₄²	—	26	1	no	—
1509	C₄²	—	26	1	no	—
1510	C₄²	—	26	1	no	—
1511	C₄²	—	26	1	no	—
1512	C₄²	—	26	1	no	—
1513	C₄²	—	26	1	no	—
1514	C₄²	—	26	1	no	—
1515	C₄²	—	26	1	no	—
1516	C₄²	—	26	1	no	—
1517	C₄²	—	26	1	no	—
1518	C₄²	—	26	1	no	—
1519	C₄²	C₂³×D₁₃	1	1	yes	characteristic
1520	C₁₃	#61457	1	1	yes	characteristic, complemented, Sylow
1521	C₂³	—	2	1	no	—
1522	C₂³	—	13	1	no	—
1523	C₂³	C₂×D₄×D₁₃	1	1	yes	characteristic
1524	C₂³	C₂×D₄×D₁₃	1	1	yes	characteristic
1525	Q₈	—	2	1	no	—
1526	Q₈	—	2	1	no	—
1527	Q₈	—	2	1	no	—
1528	Q₈	—	2	1	no	—
1529	Q₈	—	2	1	no	—
1530	Q₈	—	2	1	no	—
1531	Q₈	—	2	1	no	—
1532	Q₈	—	2	1	no	—
1533	Q₈	—	4	2	no	—
1534	Q₈	—	4	2	no	—
1535	Q₈	—	4	2	no	—
1536	Q₈	—	26	2	no	—
1537	Q₈	—	26	1	no	—
1538	Q₈	—	26	1	no	—
1539	Q₈	—	26	1	no	—
1540	Q₈	—	26	1	no	—
1541	Q₈	—	52	2	no	—
1542	Q₈	—	52	2	no	—
1543	Q₈	—	52	2	no	—
1544	Q₈	—	104	1	no	—
1545	Q₈	—	104	1	no	—
1546	Q₈	—	104	1	no	—
1547	Q₈	C₂×#6129	1	2	yes	—
1548	Q₈	C₂×#6129	1	2	yes	—
1549	D₄	—	2	2	no	—
1550	D₄	—	2	1	no	—
1551	D₄	—	2	1	no	—
1552	D₄	—	4	2	no	—
1553	D₄	—	4	2	no	—
1554	D₄	—	13	4	no	—
1555	D₄	—	26	2	no	—
1556	D₄	—	52	2	no	—
1557	C₂×C₄	—	2	1	no	—
1558	C₂×C₄	—	2	1	no	—
1559	C₂×C₄	—	2	1	no	—
1560	C₂×C₄	—	2	1	no	—
1561	C₂×C₄	—	2	1	no	—
1562	C₂×C₄	—	2	1	no	—
1563	C₂×C₄	—	2	1	no	—
1564	C₂×C₄	—	2	1	no	—
1565	C₂×C₄	—	2	1	no	—
1566	C₂×C₄	—	2	1	no	—
1567	C₂×C₄	—	2	1	no	—
1568	C₂×C₄	—	4	2	no	—
1569	C₂×C₄	—	4	2	no	—
1570	C₂×C₄	—	4	2	no	—
1571	C₂×C₄	—	4	2	no	—
1572	C₂×C₄	—	13	1	no	—
1573	C₂×C₄	—	13	1	no	—
1574	C₂×C₄	—	13	1	no	—
1575	C₂×C₄	—	13	1	no	—
1576	C₂×C₄	—	13	1	no	—
1577	C₂×C₄	—	13	1	no	—
1578	C₂×C₄	—	13	1	no	—
1579	C₂×C₄	—	26	2	no	—
1580	C₂×C₄	—	26	2	no	—
1581	C₂×C₄	—	26	2	no	—
1582	C₂×C₄	—	26	1	no	—
1583	C₂×C₄	—	26	1	no	—
1584	C₂×C₄	—	26	1	no	—
1585	C₂×C₄	—	26	1	no	—
1586	C₂×C₄	—	26	1	no	—
1587	C₂×C₄	—	26	1	no	—
1588	C₂×C₄	—	26	1	no	—
1589	C₂×C₄	—	26	1	no	—
1590	C₂×C₄	—	26	1	no	—
1591	C₂×C₄	—	26	1	no	—
1592	C₂×C₄	—	52	1	no	—
1593	C₂×C₄	—	52	2	no	—
1594	C₂×C₄	—	52	2	no	—
1595	C₂×C₄	—	52	2	no	—
1596	C₂×C₄	—	52	2	no	—
1597	C₂×C₄	—	52	1	no	—
1598	C₂×C₄	—	52	1	no	—
1599	C₂×C₄	—	52	2	no	—
1600	C₂×C₄	—	52	2	no	—
1601	C₂×C₄	—	104	1	no	—
1602	C₂×C₄	—	104	1	no	—
1603	C₂×C₄	—	104	1	no	—
1604	C₂×C₄	C₂×D₄×D₁₃	1	1	yes	characteristic
1605	C₂×C₄	C₂×D₄×D₁₃	1	1	yes	characteristic
1606	C₂×C₄	C₂×D₄×D₁₃	1	1	yes	characteristic
1607	C₂×C₄	C₂×D₄×D₁₃	1	1	yes	characteristic
1608	C₂×C₄	C₂⁴×D₁₃	1	1	yes	characteristic
1609	C₈	—	2	1	no	—
1610	C₈	—	2	1	no	—
1611	C₈	—	2	1	no	—
1612	C₈	—	26	1	no	—
1613	C₈	—	26	1	no	—
1614	C₈	—	26	1	no	—
1615	C₈	—	26	1	no	—
1616	C₈	C₂×#6129	1	2	yes	—
1617	C₂²	—	2	1	no	—
1618	C₂²	—	2	1	no	—
1619	C₂²	—	2	1	no	—
1620	C₂²	—	2	1	no	—
1621	C₂²	—	2	1	no	—
1622	C₂²	—	4	1	no	—
1623	C₂²	—	4	1	no	—
1624	C₂²	—	4	1	no	—
1625	C₂²	—	13	2	no	—
1626	C₂²	—	26	1	no	—
1627	C₂²	—	26	1	no	—
1628	C₂²	D₁₃×#137	1	2	yes	—
1629	C₂²	C₂²×D₄×D₁₃	1	1	yes	characteristic
1630	C₄	—	2	1	no	—
1631	C₄	—	2	1	no	—
1632	C₄	—	2	1	no	—
1633	C₄	—	2	2	no	—
1634	C₄	—	2	2	no	—
1635	C₄	—	2	1	no	—
1636	C₄	—	4	1	no	—
1637	C₄	—	4	1	no	—
1638	C₄	—	4	1	no	—
1639	C₄	—	4	1	no	—
1640	C₄	—	4	1	no	—
1641	C₄	—	13	2	no	—
1642	C₄	—	26	1	no	—
1643	C₄	—	26	1	no	—
1644	C₄	—	26	1	no	—
1645	C₄	—	26	1	no	—
1646	C₄	—	26	1	no	—
1647	C₄	—	26	1	no	—
1648	C₄	—	52	1	no	—
1649	C₄	—	52	1	no	—
1650	C₄	—	52	1	no	—
1651	C₄	—	52	1	no	—
1652	C₄	—	52	1	no	—
1653	C₄	—	52	1	no	—
1654	C₄	—	52	1	no	—
1655	C₄	—	52	1	no	—
1656	C₄	C₂²×#6129	1	1	yes	characteristic
1657	C₄	#11719650	1	1	yes	characteristic
1658	C₂	—	2	2	no	—
1659	C₂	—	4	1	no	—
1660	C₂	—	8	1	no	—
1661	C₂	—	26	2	no	—
1662	C₂	D₄×#6129	1	1	yes	characteristic
1663	C₂	C₂×D₁₃×#137	1	1	yes	characteristic
1664	C₂	#13129621	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×#3270	C₂
socle	C₂²×C₁₃	C₂³×D₄
prime radical	#13128452	C₂
hypercenter	#3270	D₁₃
hypocenter	C₁₃	#61457
LCS	G ▷ C₂×C₄×C₁₃ ▷ C₂×C₁₃ ▷ C₁₃
UCS	C₁ ◁ C₂² ◁ C₄×D₄ ◁ #3270

Complements

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

N	H ≅ G/N	type
2. Q₈×#6129	C₂	semidirect
3. #13127864	C₂	semidirect
4. #13127769	C₂	semidirect
5. #13127634	C₂	semidirect
6. #13127571	C₂	semidirect
7. #13127293	C₂	semidirect
8. #13127286	C₂	semidirect
9. #13127188	C₂	semidirect
10. #13126947	C₂	semidirect
11. #13126940	C₂	semidirect
12. #13126887	C₂	semidirect
13. #13126880	C₂	semidirect
14. #13126705	C₂	semidirect
15. #13126694	C₂	semidirect
16. Q₁₆×C₂²⋊D₁₃	C₂	semidirect
17. #13126400	C₂	semidirect
18. #13125576	C₂	semidirect
19. #13125542	C₂	semidirect
20. #13125538	C₂	semidirect
21. #13125006	C₂	semidirect
22. #13125002	C₂	semidirect
23. #13124991	C₂	semidirect
24. #13124965	C₂	semidirect
25. #13124961	C₂	semidirect
26. #13124961	C₂	semidirect
27. #13123846	C₂	semidirect
28. #137×Dic₁₃	C₂	semidirect
29. C₂×#11718845	C₂	semidirect
30. D₁₃×#441	C₂	semidirect
31. C₁₃×#3270	C₂	semidirect
547. C₁₃×Q₁₆	#41	semidirect
706. #3270	D₁₃	semidirect
764. C₂²⋊D₁₃	#137	semidirect
1384. Q₁₆	#6129	semidirect
1520. C₁₃	#61457	semidirect

Maximal subgroups

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

subgroup	index
#13128452	2
Q₈×#6129	2
#13127864	2
#13127769	2
#13127634	2
#13127571	2
#13127293	2
#13127286	2
#13127188	2
#13126947	2
#13126940	2
#13126887	2
#13126880	2
#13126705	2
#13126694	2
Q₁₆×C₂²⋊D₁₃	2
#13126400	2
#13125576	2
#13125542	2
#13125538	2
#13125006	2
#13125002	2
#13124991	2
#13124965	2
#13124961	2
#13123846	2
#137×Dic₁₃	2
C₂×#11718845	2
D₁₃×#441	2
C₁₃×#3270	2
#61457	13