Subgroups — #16727525

Order 3328.

1874 conjugacy classes of subgroups.

The subgroup lattice has 1142 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#13128228	C₂	1	1	yes	maximal, characteristic
2	#13123842	C₂	1	2	yes	maximal, complemented
3	#13123839	C₂	1	2	yes	maximal, complemented
4	#13123829	C₂	1	2	yes	maximal, complemented
5	#13123829	C₂	1	2	yes	maximal, complemented
6	#13123820	C₂	1	2	yes	maximal, complemented
7	#13123820	C₂	1	2	yes	maximal, complemented
8	#13123813	C₂	1	2	yes	maximal, complemented
9	#13123810	C₂	1	2	yes	maximal, complemented
10	#13123785	C₂	1	1	yes	maximal, characteristic, complemented
11	#13123582	C₂	1	1	yes	maximal, characteristic, complemented
12	#13123579	C₂	1	1	yes	maximal, characteristic, complemented
13	#13123564	C₂	1	1	yes	maximal, characteristic, complemented
14	#13123564	C₂	1	1	yes	maximal, characteristic, complemented
15	#13123560	C₂	1	1	yes	maximal, characteristic, complemented
16	#13123560	C₂	1	1	yes	maximal, characteristic, complemented
17	#13123486	C₂	1	1	yes	maximal, characteristic, complemented
18	#13123479	C₂	1	1	yes	maximal, characteristic, complemented
19	C₂×#11718501	C₂	1	1	yes	maximal, characteristic, complemented
20	#13123263	C₂	1	1	yes	maximal, characteristic, complemented
21	#13123258	C₂	1	1	yes	maximal, characteristic, complemented
22	#13123253	C₂	1	1	yes	maximal, characteristic, complemented
23	C₁₃×#2962	C₂	1	1	yes	maximal, characteristic, complemented
24	C₁₃×#533	C₂²	1	1	yes	characteristic
25	C₂×#88161	C₂²	1	1	yes	characteristic
26	C₂×#88161	C₂²	1	1	yes	characteristic
27	C₂×M₁₆×D₁₃	C₂²	1	1	yes	characteristic
28	C₂×M₁₆×D₁₃	C₂²	1	1	yes	characteristic
29	C₂×#88155	C₂²	1	1	yes	characteristic
30	C₂×#88155	C₂²	1	1	yes	characteristic
31	#11719438	C₄	1	1	yes	characteristic
32	#11719438	C₄	1	1	yes	characteristic
33	#11719438	C₄	1	1	yes	characteristic
34	#11719438	C₄	1	1	yes	characteristic
35	#11719403	C₄	1	1	yes	characteristic
36	#11719403	C₄	1	1	yes	characteristic
37	#11719402	C₄	1	1	yes	characteristic
38	#11719402	C₄	1	1	yes	characteristic
39	#11719350	C₄	1	2	yes	—
40	#11719350	C₄	1	2	yes	—
41	#11719349	C₄	1	2	yes	—
42	#11719349	C₄	1	2	yes	—
43	#11719285	C₂²	1	2	yes	—
44	#11719285	C₂²	1	2	yes	—
45	#11719285	C₂²	1	2	yes	—
46	#11719285	C₂²	1	2	yes	—
47	#11719229	C₂²	1	1	yes	characteristic
48	#11719229	C₂²	1	1	yes	characteristic
49	#11719227	C₂²	1	1	yes	characteristic
50	#11719227	C₂²	1	1	yes	characteristic
51	#11719182	C₂²	1	1	yes	characteristic
52	C₂×#88126	C₂²	1	1	yes	characteristic
53	C₁₃×#446	C₂²	1	2	yes	complemented
54	C₁₃×#446	C₂²	1	2	yes	complemented
55	C₁₃×#446	C₂²	1	2	yes	complemented
56	C₈×Q₈×C₁₃	C₂²	1	2	yes	complemented
57	C₁₃×#424	C₂²	1	1	yes	characteristic
58	C₁₃×#424	C₂²	1	1	yes	characteristic
59	C₂×C₁₃×C₄⋊C₈	C₂²	1	1	yes	characteristic
60	C₁₃×#405	C₂²	1	1	yes	characteristic
61	C₁₃×#405	C₂²	1	1	yes	characteristic
62	C₄×C₁₃×M₁₆	C₂²	1	1	yes	characteristic
63	#11718790	C₂²	1	1	yes	characteristic
64	#11718790	C₂²	1	1	yes	characteristic
65	M₁₆×Dic₁₃	C₂²	1	1	yes	characteristic
66	M₁₆×Dic₁₃	C₂²	1	1	yes	characteristic
67	#11718771	C₂²	1	1	yes	characteristic
68	#11718771	C₂²	1	1	yes	characteristic
69	C₂×#88060	C₂²	1	1	yes	characteristic
70	C₂×#88060	C₂²	1	1	yes	characteristic
71	C₂×#88055	C₂²	1	1	yes	characteristic
72	C₂×C₈×Dic₁₃	C₂²	1	1	yes	characteristic
73	#11718685	C₂²	1	2	yes	complemented
74	#11718685	C₂²	1	2	yes	complemented
75	#11718685	C₂²	1	2	yes	complemented
76	Q₈×#1055	C₂²	1	2	yes	complemented
77	#11718660	C₂²	1	1	yes	characteristic
78	#11718660	C₂²	1	1	yes	characteristic
79	#11718658	C₂²	1	1	yes	characteristic
80	#11718658	C₂²	1	1	yes	characteristic
81	C₂×C₄⋊#1055	C₂²	1	1	yes	characteristic
82	C₄×#6099	C₂²	1	1	yes	characteristic
83	#11718501	C₂²	1	1	yes	characteristic
84	#11718501	C₂²	1	1	yes	characteristic
85	#11718501	C₂²	1	1	yes	characteristic
86	#11718501	C₂²	1	1	yes	characteristic
87	#11718501	C₂²	1	1	yes	characteristic
88	#11718501	C₂²	1	1	yes	characteristic
89	#11718501	C₂²	1	1	yes	characteristic
90	#11718501	C₂²	1	1	yes	characteristic
91	#11718501	C₂²	1	2	yes	complemented
92	#11718501	C₂²	1	2	yes	complemented
93	#11718501	C₂²	1	2	yes	complemented
94	#11718501	C₂²	1	2	yes	complemented
95	#11718499	C₂²	1	2	yes	—
96	#11718499	C₂²	1	2	yes	—
97	#11718499	C₂²	1	2	yes	complemented
98	#11718497	C₂²	1	2	yes	—
99	#11718497	C₂²	1	2	yes	—
100	#11718497	C₂²	1	2	yes	—
101	#11718497	C₂²	1	2	yes	—
102	#11718497	C₂²	1	2	yes	complemented
103	#11718497	C₂²	1	2	yes	complemented
104	#11718496	C₂²	1	2	yes	complemented
105	#11718496	C₂²	1	2	yes	complemented
106	#11718495	C₂²	1	2	yes	—
107	#11718495	C₂²	1	2	yes	—
108	#11718495	C₂²	1	2	yes	complemented
109	#11718494	C₂²	1	2	yes	complemented
110	#11718494	C₂²	1	2	yes	complemented
111	#11718369	C₂²	1	2	yes	—
112	#11718369	C₂²	1	2	yes	—
113	#11718369	C₂²	1	2	yes	complemented
114	#11718369	C₂²	1	2	yes	complemented
115	#11718368	C₂²	1	2	yes	complemented
116	#11718367	C₂²	1	2	yes	—
117	#11718367	C₂²	1	2	yes	—
118	#11718367	C₂²	1	2	yes	—
119	#11718367	C₂²	1	2	yes	—
120	#11718367	C₂²	1	2	yes	complemented
121	#11718367	C₂²	1	2	yes	complemented
122	D₁₃×#97	C₂²	1	2	yes	complemented
123	#11718350	C₂²	1	2	yes	—
124	#11718350	C₂²	1	2	yes	—
125	#11718350	C₂²	1	2	yes	complemented
126	#11718350	C₂²	1	2	yes	complemented
127	#11718349	C₂²	1	2	yes	—
128	#11718349	C₂²	1	2	yes	—
129	#11718349	C₂²	1	2	yes	complemented
130	C₄×#6094	C₂²	1	2	yes	complemented
131	C₈×D₅₂	C₂²	1	2	yes	—
132	C₈×D₅₂	C₂²	1	2	yes	—
133	C₈×D₅₂	C₂²	1	2	yes	complemented
134	C₄×C₈×D₁₃	C₂²	1	2	yes	complemented
135	C₂×#6127	C₂³	1	1	yes	characteristic
136	C₂×#6127	C₂³	1	1	yes	characteristic
137	C₂²×C₄×D₁₃	C₂³	1	1	yes	characteristic
138	C₂×C₁₃×M₁₆	C₂³	1	1	yes	characteristic
139	C₂×C₁₃×M₁₆	C₂³	1	1	yes	characteristic
140	C₂²×C₈×C₁₃	C₂³	1	1	yes	characteristic
141	C₂²×C₈×C₁₃	C₂³	1	1	yes	characteristic
142	C₁₃×C₄⋊Q₈	C₂×C₄	1	1	yes	characteristic
143	C₁₃×C₄⋊Q₈	C₂×C₄	1	1	yes	characteristic
144	C₁₃×#125	C₂×C₄	1	1	yes	characteristic
145	C₁₃×#125	C₂×C₄	1	1	yes	characteristic
146	C₁₃×C₂²⋊Q₈	C₂×C₄	1	2	yes	—
147	C₁₃×C₂²⋊Q₈	C₂×C₄	1	2	yes	—
148	C₄×Q₈×C₁₃	C₂³	1	2	yes	—
149	C₄×Q₈×C₁₃	C₂³	1	2	yes	—
150	C₁₃×#117	C₂³	1	1	yes	characteristic
151	C₁₃×#117	C₂³	1	1	yes	characteristic
152	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
153	#88201	C₂×C₄	1	2	yes	—
154	#88201	C₂×C₄	1	2	yes	—
155	#88201	C₂×C₄	1	2	yes	—
156	#88201	C₂×C₄	1	2	yes	—
157	#88200	C₂×C₄	1	2	yes	—
158	#88200	C₂×C₄	1	2	yes	—
159	#88200	C₂×C₄	1	2	yes	—
160	#88200	C₂×C₄	1	2	yes	—
161	#88184	C₂×C₄	1	2	yes	—
162	#88184	C₂×C₄	1	2	yes	—
163	C₂×#6103	C₂×C₄	1	1	yes	characteristic
164	C₂×#6103	C₂×C₄	1	1	yes	characteristic
165	C₂×#6101	C₂×C₄	1	1	yes	characteristic
166	C₂×#6101	C₂×C₄	1	1	yes	characteristic
167	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
168	C₂×#6099	C₂³	1	1	yes	characteristic
169	C₂×#6099	C₂³	1	1	yes	characteristic
170	C₂²×#1055	C₂³	1	1	yes	characteristic
171	C₂²×#1055	C₂³	1	1	yes	characteristic
172	#88161	—	2	4	no	—
173	#88161	—	2	4	no	—
174	M₁₆×D₁₃	—	2	4	no	—
175	M₁₆×D₁₃	—	2	4	no	—
176	#88155	—	2	4	no	—
177	#88155	—	2	4	no	—
178	C₂×#6094	C₂³	1	2	yes	—
179	C₂×#6094	C₂³	1	2	yes	—
180	C₂×#6094	C₂³	1	2	yes	—
181	C₂×#6094	C₂³	1	2	yes	—
182	C₂×#6094	C₂³	1	2	yes	—
183	C₂×#6094	C₂³	1	2	yes	—
184	C₂×C₈×D₁₃	C₂³	1	2	yes	—
185	C₂×C₈×D₁₃	C₂³	1	2	yes	—
186	C₂×C₈×D₁₃	C₂³	1	2	yes	—
187	C₂×C₈×D₁₃	C₂³	1	2	yes	—
188	C₂×C₈×D₁₃	C₂³	1	2	yes	—
189	C₂×C₈×D₁₃	C₂³	1	2	yes	—
190	#88152	C₂×C₄	1	2	yes	—
191	#88152	C₂×C₄	1	2	yes	—
192	#88152	C₂×C₄	1	2	yes	—
193	#88152	C₂×C₄	1	2	yes	—
194	#88152	C₂×C₄	1	2	yes	—
195	#88152	C₂×C₄	1	2	yes	—
196	#88152	C₂×C₄	1	2	yes	—
197	#88152	C₂×C₄	1	2	yes	—
198	#88151	C₂×C₄	1	1	yes	characteristic
199	#88151	C₂×C₄	1	1	yes	characteristic
200	#88151	C₂×C₄	1	1	yes	characteristic
201	#88151	C₂×C₄	1	1	yes	characteristic
202	#88149	C₂×C₄	1	1	yes	characteristic
203	#88149	C₂×C₄	1	1	yes	characteristic
204	#88149	C₂×C₄	1	1	yes	characteristic
205	#88149	C₂×C₄	1	1	yes	characteristic
206	#88149	C₂×C₄	1	2	yes	—
207	#88149	C₂×C₄	1	2	yes	—
208	#88149	C₂×C₄	1	2	yes	—
209	#88149	C₂×C₄	1	2	yes	—
210	#88148	C₂×C₄	1	2	yes	—
211	#88148	C₂×C₄	1	2	yes	—
212	#88148	C₂×C₄	1	2	yes	—
213	#88148	C₂×C₄	1	2	yes	—
214	#88148	C₂×C₄	1	2	yes	—
215	#88148	C₂×C₄	1	2	yes	—
216	#88148	C₂×C₄	1	2	yes	—
217	#88148	C₂×C₄	1	2	yes	—
218	#88147	C₂×C₄	1	1	yes	characteristic
219	#88147	C₂×C₄	1	1	yes	characteristic
220	#88147	C₂×C₄	1	1	yes	characteristic
221	#88147	C₂×C₄	1	1	yes	characteristic
222	#88144	C₂×C₄	1	2	yes	—
223	#88144	C₂×C₄	1	2	yes	—
224	#88144	C₂×C₄	1	2	yes	—
225	#88144	C₂×C₄	1	2	yes	—
226	#88141	C₂×C₄	1	1	yes	characteristic
227	#88141	C₂×C₄	1	1	yes	characteristic
228	#88141	C₂×C₄	1	1	yes	characteristic
229	#88141	C₂×C₄	1	1	yes	characteristic
230	#88140	C₂×C₄	1	2	yes	—
231	#88140	C₂×C₄	1	2	yes	—
232	#88136	C₂×C₄	1	2	yes	—
233	#88136	C₂×C₄	1	2	yes	—
234	#88135	C₂×C₄	1	2	yes	—
235	#88135	C₂×C₄	1	2	yes	—
236	#88135	C₂×C₄	1	2	yes	—
237	#88135	C₂×C₄	1	2	yes	—
238	#88129	C₂×C₄	1	1	yes	characteristic
239	#88129	C₂×C₄	1	1	yes	characteristic
240	#88128	C₂×C₄	1	1	yes	characteristic
241	C₄×D₅₂	C₂³	1	2	yes	—
242	C₄×D₅₂	C₂³	1	2	yes	—
243	C₄×D₅₂	C₂³	1	2	yes	—
244	C₄×D₅₂	C₂³	1	2	yes	—
245	C₄×D₅₂	C₂³	1	2	yes	—
246	C₄×D₅₂	C₂³	1	2	yes	—
247	#88126	C₂×C₄	1	1	yes	characteristic
248	#88126	C₂×C₄	1	1	yes	characteristic
249	#88126	C₂×C₄	1	1	yes	characteristic
250	#88126	C₂×C₄	1	1	yes	characteristic
251	#88126	C₂³	1	1	yes	characteristic
252	#88126	C₂³	1	1	yes	characteristic
253	#88126	C₂³	1	1	yes	characteristic
254	#88126	C₂³	1	1	yes	characteristic
255	#88126	C₂³	1	2	yes	—
256	#88126	C₂³	1	2	yes	—
257	C₄²×D₁₃	C₂³	1	2	yes	—
258	C₄²×D₁₃	C₂³	1	2	yes	—
259	#88123	C₂×C₄	1	1	yes	characteristic
260	C₁₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
261	C₁₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
262	C₁₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
263	C₁₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
264	C₁₃×C₄⋊C₈	C₂³	1	2	yes	—
265	C₁₃×C₄⋊C₈	C₂³	1	2	yes	—
266	C₁₃×C₄⋊C₈	C₂³	1	2	yes	—
267	C₁₃×C₄⋊C₈	C₂³	1	2	yes	—
268	C₁₃×#97	C₂³	1	2	yes	—
269	C₁₃×#97	C₂³	1	2	yes	—
270	C₁₃×#97	C₂³	1	2	yes	—
271	C₄×C₈×C₁₃	C₂³	1	2	yes	—
272	C₄×C₈×C₁₃	C₂³	1	2	yes	—
273	C₄×C₈×C₁₃	C₂³	1	2	yes	—
274	#88060	C₂³	1	2	yes	—
275	#88060	C₂³	1	2	yes	—
276	#88060	C₂³	1	2	yes	—
277	#88060	C₂³	1	2	yes	—
278	#88060	C₂³	1	1	yes	characteristic
279	#88060	C₂³	1	1	yes	characteristic
280	#88060	C₂³	1	2	yes	—
281	#88060	C₂³	1	2	yes	—
282	#88060	C₂³	1	2	yes	—
283	#88060	C₂³	1	2	yes	—
284	#88060	C₂³	1	1	yes	characteristic
285	#88060	C₂³	1	1	yes	characteristic
286	#88060	C₂³	1	1	yes	characteristic
287	#88060	C₂³	1	1	yes	characteristic
288	#88060	C₂³	1	1	yes	characteristic
289	#88060	C₂³	1	1	yes	characteristic
290	#88055	C₂³	1	1	yes	characteristic
291	#88055	C₂³	1	1	yes	characteristic
292	#88055	C₂³	1	2	yes	—
293	#88055	C₂³	1	1	yes	characteristic
294	#88055	C₂³	1	1	yes	characteristic
295	#88055	C₂³	1	2	yes	—
296	C₈×Dic₁₃	C₂³	1	1	yes	characteristic
297	C₈×Dic₁₃	C₂³	1	1	yes	characteristic
298	C₈×Dic₁₃	C₂³	1	2	yes	—
299	C₈×Dic₁₃	C₂³	1	1	yes	characteristic
300	C₈×Dic₁₃	C₂³	1	1	yes	characteristic
301	C₈×Dic₁₃	C₂³	1	2	yes	—
302	C₄⋊#1055	C₂³	1	2	yes	—
303	C₄⋊#1055	C₂³	1	2	yes	—
304	C₄⋊#1055	C₂³	1	2	yes	—
305	C₄⋊#1055	C₂³	1	2	yes	—
306	C₄⋊#1055	C₂³	1	1	yes	characteristic
307	C₄⋊#1055	C₂³	1	1	yes	characteristic
308	C₄⋊#1055	C₂³	1	1	yes	characteristic
309	C₄⋊#1055	C₂³	1	1	yes	characteristic
310	#88043	C₂³	1	2	yes	—
311	#88043	C₂³	1	2	yes	—
312	#88043	C₂³	1	2	yes	—
313	C₄×#1055	C₂³	1	2	yes	—
314	C₄×#1055	C₂³	1	2	yes	—
315	C₄×#1055	C₂³	1	2	yes	—
316	#60212	—	13	1	no	maximal, Sylow
317	C₂³×D₁₃	C₂²×C₄	1	1	yes	characteristic
318	C₂×Q₈×C₁₃	C₂²×C₄	1	2	yes	—
319	C₂×Q₈×C₁₃	C₂²×C₄	1	2	yes	—
320	C₂²×C₄×C₁₃	C₂²×C₄	1	1	yes	characteristic
321	C₂²×C₄×C₁₃	C₂²×C₄	1	1	yes	characteristic
322	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
323	C₂×C₂²⋊D₁₃	C₂²×C₄	1	2	yes	—
324	C₂×C₂²⋊D₁₃	C₂²×C₄	1	2	yes	—
325	C₂²×Dic₁₃	C₂²×C₄	1	1	yes	characteristic
326	C₂²×Dic₁₃	C₂²×C₄	1	1	yes	characteristic
327	C₂²×Dic₁₃	C₂²×C₄	1	1	yes	characteristic
328	#6127	—	2	2	no	—
329	#6127	—	2	2	no	—
330	#6127	—	2	2	no	—
331	#6127	—	2	2	no	—
332	C₂×D₅₂	C₂²×C₄	1	1	yes	characteristic
333	C₂×D₅₂	C₂²×C₄	1	1	yes	characteristic
334	C₂×D₅₂	C₂²×C₄	1	2	yes	—
335	C₂×D₅₂	C₂²×C₄	1	2	yes	—
336	C₂×D₅₂	C₂²×C₄	1	2	yes	—
337	C₂×D₅₂	C₂²×C₄	1	2	yes	—
338	C₂×D₅₂	C₂²×C₄	1	2	yes	—
339	C₂×D₅₂	C₂²×C₄	1	2	yes	—
340	C₂×C₄×D₁₃	—	2	2	no	—
341	C₂×C₄×D₁₃	—	2	2	no	—
342	C₂×C₄×D₁₃	C₂²×C₄	1	1	yes	characteristic
343	C₂×C₄×D₁₃	C₂²×C₄	1	1	yes	characteristic
344	C₂×C₄×D₁₃	C₂²×C₄	1	2	yes	—
345	C₂×C₄×D₁₃	C₂²×C₄	1	2	yes	—
346	C₂×C₄×D₁₃	C₂²×C₄	1	2	yes	—
347	C₂×C₄×D₁₃	C₂²×C₄	1	2	yes	—
348	C₂×C₄×D₁₃	C₂⁴	1	2	yes	—
349	C₂×C₄×D₁₃	C₂⁴	1	2	yes	—
350	C₂×C₄×D₁₃	C₂⁴	1	1	yes	characteristic
351	C₂×C₄×D₁₃	C₂⁴	1	1	yes	characteristic
352	C₂×Dic₂₆	C₂²×C₄	1	1	yes	characteristic
353	C₂×Dic₂₆	C₂²×C₄	1	1	yes	characteristic
354	C₁₃×M₁₆	—	2	2	no	—
355	C₁₃×M₁₆	#41	1	4	yes	—
356	C₂×C₈×C₁₃	—	2	2	no	—
357	C₂×C₈×C₁₃	—	2	2	no	—
358	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
359	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
360	C₂×C₈×C₁₃	C₂⁴	1	2	yes	—
361	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
362	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
363	C₂×C₈×C₁₃	C₂⁴	1	2	yes	—
364	C₁₃×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
365	C₁₃×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
366	C₁₃×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
367	C₁₃×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
368	C₁₃×C₄⋊C₄	C₂²×C₄	1	2	yes	—
369	C₁₃×C₄⋊C₄	C₂²×C₄	1	2	yes	—
370	C₁₃×C₄⋊C₄	C₂²×C₄	1	2	yes	—
371	C₁₃×C₄⋊C₄	C₂²×C₄	1	2	yes	—
372	C₁₃×C₄⋊C₄	C₂²×C₄	1	2	yes	—
373	C₁₃×C₄⋊C₄	C₂²×C₄	1	2	yes	—
374	C₁₃×C₂²⋊C₄	C₂²×C₄	1	2	yes	—
375	C₁₃×C₂²⋊C₄	C₂²×C₄	1	2	yes	—
376	C₄²×C₁₃	C₂²×C₄	1	1	yes	characteristic
377	C₄²×C₁₃	C₂²×C₄	1	1	yes	characteristic
378	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
379	C₄²×C₁₃	C₂⁴	1	2	yes	—
380	C₄²×C₁₃	C₂⁴	1	2	yes	—
381	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
382	#6103	C₂²×C₄	1	1	yes	characteristic
383	#6103	C₂²×C₄	1	1	yes	characteristic
384	#6103	C₂²×C₄	1	1	yes	characteristic
385	#6103	C₂²×C₄	1	1	yes	characteristic
386	#6103	C₂²×C₄	1	1	yes	characteristic
387	#6103	C₂²×C₄	1	1	yes	characteristic
388	#6103	C₂²×C₄	1	1	yes	characteristic
389	#6103	C₂²×C₄	1	1	yes	characteristic
390	#6103	C₂²×C₄	1	2	yes	—
391	#6103	C₂²×C₄	1	2	yes	—
392	#6103	C₂²×C₄	1	2	yes	—
393	#6103	C₂²×C₄	1	2	yes	—
394	#6103	C₂²×C₄	1	2	yes	—
395	#6103	C₂²×C₄	1	2	yes	—
396	#6103	C₂²×C₄	1	2	yes	—
397	#6103	C₂²×C₄	1	2	yes	—
398	#6103	C₂²×C₄	1	2	yes	—
399	#6103	C₂²×C₄	1	2	yes	—
400	#6103	C₂²×C₄	1	2	yes	—
401	#6103	C₂²×C₄	1	2	yes	—
402	#6103	C₂²×C₄	1	2	yes	—
403	#6103	C₂²×C₄	1	2	yes	—
404	#6103	C₂²×C₄	1	2	yes	—
405	#6103	C₂²×C₄	1	2	yes	—
406	C₄⋊Dic₁₃	C₂²×C₄	1	2	yes	—
407	C₄⋊Dic₁₃	C₂²×C₄	1	2	yes	—
408	C₄⋊Dic₁₃	C₂²×C₄	1	2	yes	—
409	C₄⋊Dic₁₃	C₂²×C₄	1	2	yes	—
410	C₄⋊Dic₁₃	C₂²×C₄	1	2	yes	—
411	C₄⋊Dic₁₃	C₂²×C₄	1	2	yes	—
412	#6101	C₂²×C₄	1	1	yes	characteristic
413	#6101	C₂²×C₄	1	1	yes	characteristic
414	#6101	C₂²×C₄	1	1	yes	characteristic
415	#6101	C₂²×C₄	1	1	yes	characteristic
416	#6101	C₂²×C₄	1	1	yes	characteristic
417	#6101	C₂²×C₄	1	1	yes	characteristic
418	#6101	C₂²×C₄	1	1	yes	characteristic
419	#6101	C₂²×C₄	1	1	yes	characteristic
420	#6101	C₂²×C₄	1	2	yes	—
421	#6101	C₂²×C₄	1	2	yes	—
422	#6101	C₂²×C₄	1	2	yes	—
423	#6101	C₂²×C₄	1	2	yes	—
424	C₄×Dic₁₃	C₂²×C₄	1	2	yes	—
425	C₄×Dic₁₃	C₂²×C₄	1	2	yes	—
426	C₄×Dic₁₃	C₂²×C₄	1	2	yes	—
427	C₄×Dic₁₃	C₂²×C₄	1	2	yes	—
428	C₄×Dic₁₃	C₂²×C₄	1	1	yes	characteristic
429	C₄×Dic₁₃	C₂²×C₄	1	1	yes	characteristic
430	C₄×Dic₁₃	C₂⁴	1	1	yes	characteristic
431	C₄×Dic₁₃	C₂⁴	1	1	yes	characteristic
432	#6099	—	2	2	no	—
433	#6099	#41	1	4	yes	—
434	C₂×#1055	—	2	2	no	—
435	C₂×#1055	—	2	2	no	—
436	C₂×#1055	C₂⁴	1	1	yes	characteristic
437	C₂×#1055	C₂⁴	1	1	yes	characteristic
438	C₂×#1055	C₂⁴	1	2	yes	—
439	C₂×#1055	C₂⁴	1	1	yes	characteristic
440	C₂×#1055	C₂⁴	1	1	yes	characteristic
441	C₂×#1055	C₂⁴	1	2	yes	—
442	#6094	—	2	4	no	—
443	#6094	—	2	4	no	—
444	#6094	—	2	4	no	—
445	#6094	—	2	4	no	—
446	#6094	—	2	4	no	—
447	#6094	—	2	4	no	—
448	C₈×D₁₃	—	2	4	no	—
449	C₈×D₁₃	—	2	4	no	—
450	C₈×D₁₃	—	2	4	no	—
451	C₈×D₁₃	—	2	4	no	—
452	C₈×D₁₃	—	2	4	no	—
453	C₈×D₁₃	—	2	4	no	—
454	#3455	—	13	1	no	—
455	#2969	—	13	2	no	—
456	#2969	—	13	2	no	—
457	#2968	—	13	2	no	—
458	#2968	—	13	2	no	—
459	#2967	—	13	2	no	—
460	#2967	—	13	2	no	—
461	#2966	—	13	2	no	—
462	#2966	—	13	2	no	—
463	#2962	—	13	1	no	—
464	#2962	D₁₃	1	1	yes	characteristic, complemented
465	#2935	—	13	1	no	—
466	#2935	—	13	1	no	—
467	#2933	—	13	1	no	—
468	#2933	—	13	1	no	—
469	#2933	—	13	1	no	—
470	#2933	—	13	1	no	—
471	#2923	—	13	1	no	—
472	#2922	—	13	1	no	—
473	C₂×#433	—	13	1	no	—
474	#2875	—	13	1	no	—
475	C₄×#131	—	13	1	no	—
476	#2873	—	13	1	no	—
477	C₂³×C₁₃	C₂³×C₄	1	1	yes	characteristic
478	C₂²×D₁₃	—	2	2	no	—
479	C₂²×D₁₃	—	4	1	no	—
480	C₂²×D₁₃	—	4	1	no	—
481	C₂²×D₁₃	C₂³×C₄	1	1	yes	characteristic
482	C₂²×D₁₃	C₂³×C₄	1	1	yes	characteristic
483	C₂²×D₁₃	C₂³×C₄	1	2	yes	—
484	C₂²×D₁₃	C₂³×C₄	1	2	yes	—
485	Q₈×C₁₃	—	4	2	no	—
486	Q₈×C₁₃	—	4	2	no	—
487	C₂×C₄×C₁₃	—	4	1	no	—
488	C₂×C₄×C₁₃	—	4	1	no	—
489	C₂×C₄×C₁₃	C₂³×C₄	1	2	yes	—
490	C₂×C₄×C₁₃	C₂³×C₄	1	2	yes	—
491	C₂×C₄×C₁₃	C₂³×C₄	1	2	yes	—
492	C₂×C₄×C₁₃	C₂³×C₄	1	2	yes	—
493	C₂×C₄×C₁₃	C₂³×C₄	1	1	yes	characteristic
494	C₂×C₄×C₁₃	C₂³×C₄	1	1	yes	characteristic
495	C₂×C₄×C₁₃	C₂³×C₄	1	1	yes	characteristic
496	C₂×C₄×C₁₃	C₂³×C₄	1	1	yes	characteristic
497	C₂×C₄×C₁₃	C₂³×C₄	1	1	yes	characteristic
498	C₂×C₄×C₁₃	C₂×#41	1	2	yes	—
499	C₂×C₄×C₁₃	C₂×#41	1	2	yes	—
500	C₂×C₄×C₁₃	C₂⁵	1	1	yes	characteristic
501	C₂²⋊D₁₃	—	2	4	no	—
502	C₂²⋊D₁₃	—	2	4	no	—
503	C₂×Dic₁₃	—	2	2	no	—
504	C₂×Dic₁₃	—	4	1	no	—
505	C₂×Dic₁₃	—	4	1	no	—
506	C₂×Dic₁₃	C₂³×C₄	1	1	yes	characteristic
507	C₂×Dic₁₃	C₂³×C₄	1	1	yes	characteristic
508	C₂×Dic₁₃	C₂³×C₄	1	1	yes	characteristic
509	C₂×Dic₁₃	C₂³×C₄	1	1	yes	characteristic
510	C₂×Dic₁₃	C₂³×C₄	1	2	yes	—
511	C₂×Dic₁₃	C₂³×C₄	1	2	yes	—
512	C₂×Dic₁₃	C₂³×C₄	1	1	yes	characteristic
513	C₂×Dic₁₃	C₂³×C₄	1	1	yes	characteristic
514	D₅₂	—	2	2	no	—
515	D₅₂	—	2	2	no	—
516	D₅₂	—	4	2	no	—
517	D₅₂	—	4	2	no	—
518	D₅₂	—	4	2	no	—
519	D₅₂	—	4	2	no	—
520	D₅₂	—	4	2	no	—
521	D₅₂	—	4	2	no	—
522	C₄×D₁₃	—	2	2	no	—
523	C₄×D₁₃	—	2	2	no	—
524	C₄×D₁₃	—	2	1	no	—
525	C₄×D₁₃	—	2	1	no	—
526	C₄×D₁₃	—	2	2	no	—
527	C₄×D₁₃	—	2	2	no	—
528	C₄×D₁₃	—	2	2	no	—
529	C₄×D₁₃	—	2	2	no	—
530	C₄×D₁₃	—	2	1	no	—
531	C₄×D₁₃	—	2	1	no	—
532	C₄×D₁₃	—	4	2	no	—
533	C₄×D₁₃	—	4	2	no	—
534	C₄×D₁₃	—	4	2	no	—
535	C₄×D₁₃	—	4	2	no	—
536	Dic₂₆	—	2	2	no	—
537	Dic₂₆	—	2	2	no	—
538	C₈×C₁₃	—	2	1	no	—
539	C₈×C₁₃	—	2	1	no	—
540	C₈×C₁₃	—	2	2	no	—
541	C₈×C₁₃	—	2	1	no	—
542	C₈×C₁₃	—	2	1	no	—
543	C₈×C₁₃	C₂×#41	1	4	yes	—
544	#1055	—	2	1	no	—
545	#1055	—	2	1	no	—
546	#1055	—	2	2	no	—
547	#1055	—	2	1	no	—
548	#1055	—	2	1	no	—
549	#1055	C₂×#41	1	4	yes	—
550	C₂×#131	—	13	1	no	—
551	C₂×#131	—	13	1	no	—
552	C₂×#131	—	13	1	no	—
553	C₂×#131	—	13	1	no	—
554	C₂²×M₁₆	—	13	1	no	—
555	C₂²×M₁₆	—	13	1	no	—
556	#542	—	13	1	no	—
557	#542	—	13	1	no	—
558	#542	—	13	1	no	—
559	#542	—	13	1	no	—
560	#541	—	13	1	no	—
561	#541	—	13	1	no	—
562	#540	—	13	1	no	—
563	#540	—	13	1	no	—
564	#539	—	13	2	no	—
565	#539	—	13	2	no	—
566	#538	—	13	2	no	—
567	#538	—	13	2	no	—
568	#533	C₂×D₁₃	1	1	yes	characteristic
569	#532	—	13	1	no	—
570	#529	—	13	2	no	—
571	#529	—	13	2	no	—
572	#529	—	13	2	no	—
573	#529	—	13	2	no	—
574	#525	—	13	1	no	—
575	#525	—	13	1	no	—
576	C₄×#41	—	13	1	no	—
577	C₄×#41	—	13	1	no	—
578	C₂×#117	—	13	1	no	—
579	#446	—	13	2	no	—
580	#446	—	13	2	no	—
581	#446	—	13	2	no	—
582	#446	C₂×D₁₃	1	2	yes	complemented
583	#446	C₂×D₁₃	1	2	yes	complemented
584	#446	C₂×D₁₃	1	2	yes	complemented
585	C₈×Q₈	—	13	2	no	—
586	C₈×Q₈	C₂×D₁₃	1	2	yes	complemented
587	#436	—	13	2	no	—
588	#436	—	13	2	no	—
589	#436	—	13	2	no	—
590	#436	—	13	2	no	—
591	#436	—	13	2	no	—
592	#436	—	13	2	no	—
593	#435	—	13	2	no	—
594	#435	—	13	2	no	—
595	#435	—	13	2	no	—
596	#435	—	13	2	no	—
597	#435	—	13	2	no	—
598	#435	—	13	2	no	—
599	#435	—	13	2	no	—
600	#435	—	13	2	no	—
601	#435	—	13	2	no	—
602	#435	—	13	2	no	—
603	#435	—	13	2	no	—
604	#435	—	13	2	no	—
605	C₈×D₄	—	13	2	no	—
606	C₈×D₄	—	13	2	no	—
607	C₈×D₄	—	13	2	no	—
608	C₈×D₄	—	13	2	no	—
609	C₈×D₄	—	13	2	no	—
610	C₈×D₄	—	13	2	no	—
611	#433	—	13	1	no	—
612	#433	—	13	1	no	—
613	#433	—	13	1	no	—
614	#433	—	13	1	no	—
615	#433	—	13	1	no	—
616	#433	—	13	1	no	—
617	#433	—	13	1	no	—
618	#433	—	13	1	no	—
619	#433	—	13	2	no	—
620	#433	—	13	2	no	—
621	#433	—	13	2	no	—
622	#433	—	13	2	no	—
623	#432	—	13	2	no	—
624	#432	—	13	2	no	—
625	#431	—	13	2	no	—
626	#431	—	13	2	no	—
627	#424	—	13	1	no	—
628	#424	—	13	1	no	—
629	#424	C₂×D₁₃	1	1	yes	characteristic
630	#424	C₂×D₁₃	1	1	yes	characteristic
631	C₂×C₄⋊C₈	—	13	1	no	—
632	C₂×C₄⋊C₈	C₂×D₁₃	1	1	yes	characteristic
633	#408	—	13	1	no	—
634	#408	—	13	1	no	—
635	#408	—	13	1	no	—
636	#408	—	13	1	no	—
637	C₂×C₂²⋊C₈	—	13	1	no	—
638	C₂×C₂²⋊C₈	—	13	1	no	—
639	#405	—	13	1	no	—
640	#405	—	13	1	no	—
641	#405	—	13	2	no	—
642	#405	—	13	2	no	—
643	#405	—	13	2	no	—
644	#405	—	13	2	no	—
645	#405	—	13	2	no	—
646	#405	—	13	2	no	—
647	#405	—	13	2	no	—
648	#405	—	13	2	no	—
649	#405	C₂×D₁₃	1	1	yes	characteristic
650	#405	C₂×D₁₃	1	1	yes	characteristic
651	C₄×M₁₆	—	13	1	no	—
652	C₄×M₁₆	—	13	1	no	—
653	C₄×M₁₆	—	13	1	no	—
654	C₄×M₁₆	—	13	2	no	—
655	C₄×M₁₆	—	13	2	no	—
656	C₄×M₁₆	C₂×D₁₃	1	1	yes	characteristic
657	C₂×#97	—	13	1	no	—
658	C₂×#97	—	13	2	no	—
659	C₂×C₄×C₈	—	13	1	no	—
660	C₂×C₄×C₈	—	13	2	no	—
661	C₂²×C₁₃	—	2	1	no	—
662	C₂²×C₁₃	—	2	1	no	—
663	C₂²×C₁₃	C₄×#41	1	2	yes	—
664	C₂²×C₁₃	C₂⁴×C₄	1	1	yes	characteristic
665	C₂×D₁₃	—	2	1	no	—
666	C₂×D₁₃	—	2	1	no	—
667	C₂×D₁₃	—	2	2	no	—
668	C₂×D₁₃	—	2	2	no	—
669	C₂×D₁₃	—	2	2	no	—
670	C₂×D₁₃	—	2	2	no	—
671	C₂×D₁₃	—	2	2	no	—
672	C₂×D₁₃	—	2	2	no	—
673	C₂×D₁₃	—	2	1	no	—
674	C₂×D₁₃	—	2	1	no	—
675	C₂×D₁₃	—	2	1	no	—
676	C₂×D₁₃	—	2	1	no	—
677	C₂×D₁₃	—	8	2	no	—
678	C₄×C₁₃	—	2	2	no	—
679	C₄×C₁₃	—	2	2	no	—
680	C₄×C₁₃	—	2	2	no	—
681	C₄×C₁₃	—	2	2	no	—
682	C₄×C₁₃	—	2	1	no	—
683	C₄×C₁₃	—	2	1	no	—
684	C₄×C₁₃	—	2	1	no	—
685	C₄×C₁₃	—	2	1	no	—
686	C₄×C₁₃	C₄×#41	1	2	yes	—
687	C₄×C₁₃	C₂²×#41	1	1	yes	characteristic
688	C₄×C₁₃	C₂²×#41	1	1	yes	characteristic
689	Dic₁₃	—	2	2	no	—
690	Dic₁₃	—	2	2	no	—
691	Dic₁₃	—	2	1	no	—
692	Dic₁₃	—	2	1	no	—
693	Dic₁₃	—	2	1	no	—
694	Dic₁₃	—	2	1	no	—
695	Dic₁₃	—	2	1	no	—
696	Dic₁₃	—	2	1	no	—
697	C₂×#41	—	13	1	no	—
698	C₂×#41	—	13	1	no	—
699	C₂³×C₄	—	13	1	no	—
700	#131	—	26	4	no	—
701	#131	—	26	4	no	—
702	#131	—	26	4	no	—
703	#131	—	26	4	no	—
704	C₂×M₁₆	—	13	1	no	—
705	C₂×M₁₆	—	13	1	no	—
706	C₂×M₁₆	—	13	2	no	—
707	C₂×M₁₆	—	13	2	no	—
708	C₂×M₁₆	—	13	2	no	—
709	C₂×M₁₆	—	13	2	no	—
710	C₂×M₁₆	—	13	2	no	—
711	C₂×M₁₆	—	13	2	no	—
712	C₂×M₁₆	—	26	4	no	—
713	C₂×M₁₆	—	26	4	no	—
714	C₂×M₁₆	C₂²×D₁₃	1	1	yes	characteristic
715	C₂×M₁₆	C₂²×D₁₃	1	1	yes	characteristic
716	C₂²×C₈	—	13	1	no	—
717	C₂²×C₈	—	13	1	no	—
718	C₂²×C₈	—	13	2	no	—
719	C₂²×C₈	—	13	2	no	—
720	C₂²×C₈	—	13	2	no	—
721	C₂²×C₈	—	13	2	no	—
722	C₂²×C₈	—	13	2	no	—
723	C₂²×C₈	—	13	2	no	—
724	C₂²×C₈	C₂²×D₁₃	1	1	yes	characteristic
725	C₂²×C₈	C₂²×D₁₃	1	1	yes	characteristic
726	C₄⋊Q₈	—	13	1	no	—
727	C₄⋊Q₈	C₄×D₁₃	1	1	yes	characteristic
728	C₄⋊Q₈	C₄×D₁₃	1	1	yes	characteristic
729	#127	—	13	1	no	—
730	#126	—	13	2	no	—
731	#126	—	13	2	no	—
732	#126	—	13	2	no	—
733	#126	—	13	2	no	—
734	#126	—	13	2	no	—
735	#126	—	13	2	no	—
736	#126	—	13	2	no	—
737	#126	—	13	2	no	—
738	#125	—	13	2	no	—
739	#125	—	13	2	no	—
740	#125	—	13	2	no	—
741	#125	—	13	2	no	—
742	#125	C₄×D₁₃	1	1	yes	characteristic
743	#125	C₄×D₁₃	1	1	yes	characteristic
744	#124	—	13	2	no	—
745	#124	—	13	2	no	—
746	#124	—	13	2	no	—
747	#124	—	13	2	no	—
748	#124	—	13	1	no	—
749	#124	—	13	1	no	—
750	#123	—	13	2	no	—
751	#123	—	13	2	no	—
752	#123	—	13	2	no	—
753	#123	—	13	2	no	—
754	#123	—	13	2	no	—
755	#123	—	13	2	no	—
756	#123	—	13	2	no	—
757	#123	—	13	2	no	—
758	#123	—	13	2	no	—
759	#123	—	13	2	no	—
760	C₂²⋊Q₈	—	13	2	no	—
761	C₂²⋊Q₈	—	13	2	no	—
762	C₂²⋊Q₈	—	13	2	no	—
763	C₂²⋊Q₈	—	13	2	no	—
764	C₂²⋊Q₈	—	13	1	no	—
765	C₂²⋊Q₈	—	13	1	no	—
766	C₂²⋊Q₈	—	13	1	no	—
767	C₂²⋊Q₈	—	13	1	no	—
768	C₂²⋊Q₈	C₄×D₁₃	1	2	yes	—
769	C₂²⋊Q₈	C₄×D₁₃	1	2	yes	—
770	#121	—	13	2	no	—
771	#121	—	13	2	no	—
772	#121	—	13	1	no	—
773	#121	—	13	1	no	—
774	#121	—	13	1	no	—
775	#121	—	13	1	no	—
776	#121	—	13	2	no	—
777	#121	—	13	2	no	—
778	#121	—	13	2	no	—
779	#121	—	13	2	no	—
780	#120	—	13	2	no	—
781	#120	—	13	2	no	—
782	C₄×Q₈	—	13	1	no	—
783	C₄×Q₈	—	13	1	no	—
784	C₄×Q₈	—	13	1	no	—
785	C₄×Q₈	—	13	1	no	—
786	C₄×Q₈	C₂²×D₁₃	1	2	yes	—
787	C₄×Q₈	C₂²×D₁₃	1	2	yes	—
788	C₄×D₄	—	13	1	no	—
789	C₄×D₄	—	13	1	no	—
790	C₄×D₄	—	13	1	no	—
791	C₄×D₄	—	13	1	no	—
792	C₄×D₄	—	13	2	no	—
793	C₄×D₄	—	13	2	no	—
794	C₄×D₄	—	13	2	no	—
795	C₄×D₄	—	13	2	no	—
796	C₄×D₄	—	13	2	no	—
797	C₄×D₄	—	13	2	no	—
798	C₄×D₄	—	13	2	no	—
799	C₄×D₄	—	13	2	no	—
800	C₄×D₄	—	13	2	no	—
801	C₄×D₄	—	13	2	no	—
802	#117	—	13	1	no	—
803	#117	—	13	1	no	—
804	#117	—	13	1	no	—
805	#117	—	13	1	no	—
806	#117	—	13	1	no	—
807	#117	—	13	1	no	—
808	#117	—	13	1	no	—
809	#117	—	13	1	no	—
810	#117	—	13	2	no	—
811	#117	—	13	2	no	—
812	#117	C₂²×D₁₃	1	1	yes	characteristic
813	#117	C₂²×D₁₃	1	1	yes	characteristic
814	C₂×C₄⋊C₄	—	13	1	no	—
815	C₂×C₄⋊C₄	—	13	1	no	—
816	C₂×C₂²⋊C₄	—	13	1	no	—
817	C₂×C₂²⋊C₄	—	13	1	no	—
818	C₂×C₄²	—	13	1	no	—
819	C₂×C₄²	—	13	2	no	—
820	C₂×C₄²	—	13	2	no	—
821	C₂×C₄²	C₂²×D₁₃	1	1	yes	characteristic
822	C₄⋊C₈	—	13	1	no	—
823	C₄⋊C₈	—	13	1	no	—
824	C₄⋊C₈	—	13	1	no	—
825	C₄⋊C₈	—	13	1	no	—
826	C₄⋊C₈	—	13	2	no	—
827	C₄⋊C₈	—	13	2	no	—
828	C₄⋊C₈	—	13	2	no	—
829	C₄⋊C₈	—	13	2	no	—
830	C₄⋊C₈	C₂²×D₁₃	1	1	yes	characteristic
831	C₄⋊C₈	C₂²×D₁₃	1	1	yes	characteristic
832	C₄⋊C₈	C₂²×D₁₃	1	1	yes	characteristic
833	C₄⋊C₈	C₂²×D₁₃	1	1	yes	characteristic
834	C₄⋊C₈	C₂²×D₁₃	1	2	yes	—
835	C₄⋊C₈	C₂²×D₁₃	1	2	yes	—
836	C₄⋊C₈	C₂²×D₁₃	1	2	yes	—
837	C₄⋊C₈	C₂²×D₁₃	1	2	yes	—
838	C₂²⋊C₈	—	13	1	no	—
839	C₂²⋊C₈	—	13	1	no	—
840	C₂²⋊C₈	—	13	1	no	—
841	C₂²⋊C₈	—	13	1	no	—
842	C₂²⋊C₈	—	13	1	no	—
843	C₂²⋊C₈	—	13	1	no	—
844	C₂²⋊C₈	—	13	1	no	—
845	C₂²⋊C₈	—	13	1	no	—
846	C₂²⋊C₈	—	13	2	no	—
847	C₂²⋊C₈	—	13	2	no	—
848	C₂²⋊C₈	—	13	2	no	—
849	C₂²⋊C₈	—	13	2	no	—
850	C₂²⋊C₈	—	13	2	no	—
851	C₂²⋊C₈	—	13	2	no	—
852	C₂²⋊C₈	—	13	2	no	—
853	C₂²⋊C₈	—	13	2	no	—
854	#97	—	13	1	no	—
855	#97	—	13	2	no	—
856	#97	—	13	1	no	—
857	#97	—	13	1	no	—
858	#97	—	13	1	no	—
859	#97	—	13	2	no	—
860	#97	—	13	2	no	—
861	#97	—	13	2	no	—
862	#97	—	13	2	no	—
863	#97	C₂²×D₁₃	1	2	yes	—
864	#97	C₂²×D₁₃	1	2	yes	—
865	#97	C₂²×D₁₃	1	2	yes	—
866	C₄×C₈	—	13	1	no	—
867	C₄×C₈	—	13	2	no	—
868	C₄×C₈	—	13	1	no	—
869	C₄×C₈	—	13	1	no	—
870	C₄×C₈	—	13	1	no	—
871	C₄×C₈	—	13	2	no	—
872	C₄×C₈	—	13	2	no	—
873	C₄×C₈	—	13	2	no	—
874	C₄×C₈	—	13	2	no	—
875	C₄×C₈	C₂²×D₁₃	1	2	yes	—
876	C₄×C₈	C₂²×D₁₃	1	2	yes	—
877	C₄×C₈	C₂²×D₁₃	1	2	yes	—
878	C₂×C₁₃	—	2	2	no	—
879	C₂×C₁₃	C₂×C₄×#41	1	1	yes	characteristic
880	C₂×C₁₃	#3573	1	1	yes	characteristic
881	C₂×C₁₃	#3573	1	1	yes	characteristic
882	D₁₃	—	4	2	no	—
883	D₁₃	—	4	2	no	—
884	D₁₃	—	4	1	no	—
885	D₁₃	—	4	1	no	—
886	C₂⁴	—	13	1	no	—
887	#41	—	26	2	no	—
888	#41	—	26	2	no	—
889	#41	—	26	2	no	—
890	#41	—	26	2	no	—
891	C₂×Q₈	—	13	1	no	—
892	C₂×Q₈	—	13	1	no	—
893	C₂×Q₈	C₂×C₄×D₁₃	1	2	yes	—
894	C₂×Q₈	C₂×C₄×D₁₃	1	2	yes	—
895	C₂×D₄	—	13	2	no	—
896	C₂×D₄	—	13	2	no	—
897	C₂×D₄	—	13	1	no	—
898	C₂×D₄	—	13	1	no	—
899	C₂×D₄	—	13	2	no	—
900	C₂×D₄	—	13	2	no	—
901	C₂×D₄	—	13	2	no	—
902	C₂×D₄	—	13	2	no	—
903	C₂×D₄	—	13	2	no	—
904	C₂×D₄	—	13	2	no	—
905	C₂²×C₄	—	13	1	no	—
906	C₂²×C₄	—	13	1	no	—
907	C₂²×C₄	—	13	1	no	—
908	C₂²×C₄	—	13	1	no	—
909	C₂²×C₄	—	13	1	no	—
910	C₂²×C₄	—	13	2	no	—
911	C₂²×C₄	—	13	2	no	—
912	C₂²×C₄	—	13	1	no	—
913	C₂²×C₄	—	13	1	no	—
914	C₂²×C₄	—	13	2	no	—
915	C₂²×C₄	—	13	2	no	—
916	C₂²×C₄	—	13	2	no	—
917	C₂²×C₄	—	13	2	no	—
918	C₂²×C₄	—	26	2	no	—
919	C₂²×C₄	—	26	2	no	—
920	C₂²×C₄	C₂×C₄×D₁₃	1	1	yes	characteristic
921	C₂²×C₄	C₂×C₄×D₁₃	1	1	yes	characteristic
922	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
923	M₁₆	—	2	2	no	—
924	M₁₆	—	13	4	no	—
925	M₁₆	—	26	4	no	—
926	M₁₆	—	26	4	no	—
927	M₁₆	—	26	4	no	—
928	M₁₆	—	26	2	no	—
929	M₁₆	—	26	4	no	—
930	M₁₆	—	26	4	no	—
931	M₁₆	—	26	4	no	—
932	M₁₆	#6131	1	4	yes	—
933	C₂×C₈	—	2	2	no	—
934	C₂×C₈	—	2	2	no	—
935	C₂×C₈	—	13	2	no	—
936	C₂×C₈	—	13	1	no	—
937	C₂×C₈	—	13	1	no	—
938	C₂×C₈	—	13	2	no	—
939	C₂×C₈	—	13	1	no	—
940	C₂×C₈	—	13	1	no	—
941	C₂×C₈	—	26	4	no	—
942	C₂×C₈	—	26	4	no	—
943	C₂×C₈	—	26	4	no	—
944	C₂×C₈	—	26	2	no	—
945	C₂×C₈	—	26	2	no	—
946	C₂×C₈	—	26	4	no	—
947	C₂×C₈	—	26	4	no	—
948	C₂×C₈	—	26	4	no	—
949	C₂×C₈	C₂³×D₁₃	1	1	yes	characteristic
950	C₂×C₈	C₂³×D₁₃	1	1	yes	characteristic
951	C₂×C₈	C₂³×D₁₃	1	2	yes	—
952	C₂×C₈	C₂³×D₁₃	1	1	yes	characteristic
953	C₂×C₈	C₂³×D₁₃	1	1	yes	characteristic
954	C₂×C₈	C₂³×D₁₃	1	2	yes	—
955	C₄⋊C₄	—	13	1	no	—
956	C₄⋊C₄	—	13	1	no	—
957	C₄⋊C₄	—	13	1	no	—
958	C₄⋊C₄	—	13	1	no	—
959	C₄⋊C₄	—	13	1	no	—
960	C₄⋊C₄	—	13	1	no	—
961	C₄⋊C₄	—	13	1	no	—
962	C₄⋊C₄	—	13	1	no	—
963	C₄⋊C₄	—	13	2	no	—
964	C₄⋊C₄	—	13	2	no	—
965	C₄⋊C₄	—	13	2	no	—
966	C₄⋊C₄	—	13	2	no	—
967	C₄⋊C₄	—	13	2	no	—
968	C₄⋊C₄	—	13	2	no	—
969	C₄⋊C₄	—	13	2	no	—
970	C₄⋊C₄	—	13	2	no	—
971	C₄⋊C₄	—	13	2	no	—
972	C₄⋊C₄	—	13	2	no	—
973	C₄⋊C₄	C₂×C₄×D₁₃	1	1	yes	characteristic
974	C₄⋊C₄	C₂×C₄×D₁₃	1	1	yes	characteristic
975	C₄⋊C₄	C₂×C₄×D₁₃	1	1	yes	characteristic
976	C₄⋊C₄	C₂×C₄×D₁₃	1	1	yes	characteristic
977	C₄⋊C₄	C₂×C₄×D₁₃	1	2	yes	—
978	C₄⋊C₄	C₂×C₄×D₁₃	1	2	yes	—
979	C₄⋊C₄	C₂×C₄×D₁₃	1	2	yes	—
980	C₄⋊C₄	C₂×C₄×D₁₃	1	2	yes	—
981	C₄⋊C₄	C₂×C₄×D₁₃	1	2	yes	—
982	C₄⋊C₄	C₂×C₄×D₁₃	1	2	yes	—
983	C₂²⋊C₄	—	13	1	no	—
984	C₂²⋊C₄	—	13	1	no	—
985	C₂²⋊C₄	—	13	1	no	—
986	C₂²⋊C₄	—	13	1	no	—
987	C₂²⋊C₄	—	13	1	no	—
988	C₂²⋊C₄	—	13	1	no	—
989	C₂²⋊C₄	—	13	1	no	—
990	C₂²⋊C₄	—	13	1	no	—
991	C₂²⋊C₄	—	13	2	no	—
992	C₂²⋊C₄	—	13	2	no	—
993	C₂²⋊C₄	—	13	2	no	—
994	C₂²⋊C₄	—	13	2	no	—
995	C₂²⋊C₄	—	13	2	no	—
996	C₂²⋊C₄	—	13	2	no	—
997	C₂²⋊C₄	—	13	2	no	—
998	C₂²⋊C₄	—	13	2	no	—
999	C₂²⋊C₄	—	13	2	no	—
1000	C₂²⋊C₄	—	13	2	no	—
1001	C₂²⋊C₄	—	13	2	no	—
1002	C₂²⋊C₄	—	13	2	no	—
1003	C₂²⋊C₄	—	13	2	no	—
1004	C₂²⋊C₄	—	13	2	no	—
1005	C₂²⋊C₄	—	13	2	no	—
1006	C₂²⋊C₄	—	13	2	no	—
1007	C₂²⋊C₄	C₂×C₄×D₁₃	1	2	yes	—
1008	C₂²⋊C₄	C₂×C₄×D₁₃	1	2	yes	—
1009	C₄²	—	13	1	no	—
1010	C₄²	—	13	1	no	—
1011	C₄²	—	13	2	no	—
1012	C₄²	—	13	2	no	—
1013	C₄²	—	13	2	no	—
1014	C₄²	—	13	2	no	—
1015	C₄²	—	13	1	no	—
1016	C₄²	—	13	1	no	—
1017	C₄²	C₂×C₄×D₁₃	1	1	yes	characteristic
1018	C₄²	C₂×C₄×D₁₃	1	1	yes	characteristic
1019	C₄²	C₂³×D₁₃	1	1	yes	characteristic
1020	C₄²	C₂³×D₁₃	1	2	yes	—
1021	C₄²	C₂³×D₁₃	1	2	yes	—
1022	C₄²	C₂³×D₁₃	1	1	yes	characteristic
1023	C₁₃	#60212	1	1	yes	characteristic, complemented, Sylow
1024	C₂³	—	13	1	no	—
1025	C₂³	—	13	1	no	—
1026	C₂³	—	13	2	no	—
1027	C₂³	—	13	2	no	—
1028	C₂³	—	26	2	no	—
1029	C₂³	—	52	1	no	—
1030	C₂³	—	52	1	no	—
1031	C₂³	C₂²×C₄×D₁₃	1	1	yes	characteristic
1032	Q₈	—	4	2	no	—
1033	Q₈	—	4	2	no	—
1034	Q₈	—	26	2	no	—
1035	Q₈	—	26	2	no	—
1036	D₄	—	26	4	no	—
1037	D₄	—	26	4	no	—
1038	D₄	—	26	2	no	—
1039	D₄	—	26	2	no	—
1040	D₄	—	52	2	no	—
1041	D₄	—	52	2	no	—
1042	D₄	—	52	2	no	—
1043	D₄	—	52	2	no	—
1044	D₄	—	52	2	no	—
1045	D₄	—	52	2	no	—
1046	C₂×C₄	—	4	1	no	—
1047	C₂×C₄	—	4	1	no	—
1048	C₂×C₄	—	13	1	no	—
1049	C₂×C₄	—	13	1	no	—
1050	C₂×C₄	—	13	1	no	—
1051	C₂×C₄	—	13	1	no	—
1052	C₂×C₄	—	13	2	no	—
1053	C₂×C₄	—	13	2	no	—
1054	C₂×C₄	—	13	1	no	—
1055	C₂×C₄	—	13	1	no	—
1056	C₂×C₄	—	26	2	no	—
1057	C₂×C₄	—	26	2	no	—
1058	C₂×C₄	—	26	2	no	—
1059	C₂×C₄	—	26	1	no	—
1060	C₂×C₄	—	26	2	no	—
1061	C₂×C₄	—	26	2	no	—
1062	C₂×C₄	—	26	1	no	—
1063	C₂×C₄	—	26	1	no	—
1064	C₂×C₄	—	26	2	no	—
1065	C₂×C₄	—	26	2	no	—
1066	C₂×C₄	—	26	1	no	—
1067	C₂×C₄	—	52	2	no	—
1068	C₂×C₄	—	52	2	no	—
1069	C₂×C₄	—	52	2	no	—
1070	C₂×C₄	—	52	2	no	—
1071	C₂×C₄	—	52	1	no	—
1072	C₂×C₄	—	52	1	no	—
1073	C₂×C₄	C₂²×C₄×D₁₃	1	2	yes	—
1074	C₂×C₄	C₂²×C₄×D₁₃	1	2	yes	—
1075	C₂×C₄	C₂²×C₄×D₁₃	1	2	yes	—
1076	C₂×C₄	C₂²×C₄×D₁₃	1	2	yes	—
1077	C₂×C₄	C₂²×C₄×D₁₃	1	1	yes	characteristic
1078	C₂×C₄	C₂²×C₄×D₁₃	1	1	yes	characteristic
1079	C₂×C₄	C₂²×C₄×D₁₃	1	1	yes	characteristic
1080	C₂×C₄	C₂²×C₄×D₁₃	1	1	yes	characteristic
1081	C₂×C₄	C₂²×C₄×D₁₃	1	1	yes	characteristic
1082	C₂×C₄	C₂×#6131	1	2	yes	—
1083	C₂×C₄	#41×D₁₃	1	2	yes	—
1084	C₂×C₄	C₂⁴×D₁₃	1	1	yes	characteristic
1085	C₈	—	2	1	no	—
1086	C₈	—	2	1	no	—
1087	C₈	—	2	1	no	—
1088	C₈	—	2	1	no	—
1089	C₈	—	2	2	no	—
1090	C₈	—	13	4	no	—
1091	C₈	—	26	1	no	—
1092	C₈	—	26	1	no	—
1093	C₈	—	26	2	no	—
1094	C₈	—	26	1	no	—
1095	C₈	—	26	1	no	—
1096	C₈	C₂×#6131	1	4	yes	—
1097	C₂²	—	2	1	no	—
1098	C₂²	—	2	1	no	—
1099	C₂²	—	26	2	no	—
1100	C₂²	—	26	2	no	—
1101	C₂²	—	26	1	no	—
1102	C₂²	—	26	1	no	—
1103	C₂²	—	26	2	no	—
1104	C₂²	—	26	2	no	—
1105	C₂²	—	26	1	no	—
1106	C₂²	—	26	1	no	—
1107	C₂²	—	26	1	no	—
1108	C₂²	—	26	1	no	—
1109	C₂²	—	26	2	no	—
1110	C₂²	—	26	2	no	—
1111	C₂²	—	104	2	no	—
1112	C₂²	C₄×#6131	1	2	yes	—
1113	C₂²	C₂³×C₄×D₁₃	1	1	yes	characteristic
1114	C₄	—	2	1	no	—
1115	C₄	—	2	1	no	—
1116	C₄	—	2	2	no	—
1117	C₄	—	2	2	no	—
1118	C₄	—	2	1	no	—
1119	C₄	—	2	1	no	—
1120	C₄	—	2	2	no	—
1121	C₄	—	2	2	no	—
1122	C₄	—	26	1	no	—
1123	C₄	—	26	1	no	—
1124	C₄	—	26	1	no	—
1125	C₄	—	26	1	no	—
1126	C₄	—	26	1	no	—
1127	C₄	—	26	1	no	—
1128	C₄	—	26	2	no	—
1129	C₄	—	26	2	no	—
1130	C₄	C₄×#6131	1	2	yes	—
1131	C₄	C₂²×#6131	1	1	yes	characteristic
1132	C₄	C₂×#41×D₁₃	1	1	yes	characteristic
1133	C₂	—	2	2	no	—
1134	C₂	—	52	1	no	—
1135	C₂	—	52	1	no	—
1136	C₂	—	52	2	no	—
1137	C₂	—	52	2	no	—
1138	C₂	C₂×C₄×#6131	1	1	yes	characteristic
1139	C₂	#13129547	1	1	yes	characteristic
1140	C₂	#13129549	1	1	yes	characteristic

	subgroup	G/H
center, Frattini	C₂×C₄	C₂⁴×D₁₃
commutator, socle	C₂²×C₁₃	C₂⁴×C₄
Fitting	C₁₃×#2962	C₂
prime radical	#13128228	C₂
cosocle	C₂×C₄×C₁₃	C₂⁵
hypercenter	#2962	D₁₃
hypocenter	C₁₃	#60212
LCS	G ▷ C₂²×C₁₃ ▷ C₁₃
UCS	C₁ ◁ C₂×C₄ ◁ #2962

Complements

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

N	H ≅ G/N	type
2. #13123842	C₂	semidirect
3. #13123839	C₂	semidirect
4. #13123829	C₂	semidirect
5. #13123829	C₂	semidirect
6. #13123820	C₂	semidirect
7. #13123820	C₂	semidirect
8. #13123813	C₂	semidirect
9. #13123810	C₂	semidirect
10. #13123785	C₂	semidirect
11. #13123582	C₂	semidirect
12. #13123579	C₂	semidirect
13. #13123564	C₂	semidirect
14. #13123564	C₂	semidirect
15. #13123560	C₂	semidirect
16. #13123560	C₂	semidirect
17. #13123486	C₂	semidirect
18. #13123479	C₂	semidirect
19. C₂×#11718501	C₂	semidirect
20. #13123263	C₂	semidirect
21. #13123258	C₂	semidirect
22. #13123253	C₂	semidirect
23. C₁₃×#2962	C₂	semidirect
53. C₁₃×#446	C₂²	semidirect
54. C₁₃×#446	C₂²	semidirect
55. C₁₃×#446	C₂²	semidirect
56. C₈×Q₈×C₁₃	C₂²	semidirect
73. #11718685	C₂²	semidirect
74. #11718685	C₂²	semidirect
75. #11718685	C₂²	semidirect
76. Q₈×#1055	C₂²	semidirect
91. #11718501	C₂²	semidirect
92. #11718501	C₂²	semidirect
93. #11718501	C₂²	semidirect
94. #11718501	C₂²	semidirect
97. #11718499	C₂²	semidirect
102. #11718497	C₂²	semidirect
103. #11718497	C₂²	semidirect
104. #11718496	C₂²	semidirect
105. #11718496	C₂²	semidirect
108. #11718495	C₂²	semidirect
109. #11718494	C₂²	semidirect
110. #11718494	C₂²	semidirect
113. #11718369	C₂²	semidirect
114. #11718369	C₂²	semidirect
115. #11718368	C₂²	semidirect
120. #11718367	C₂²	semidirect
121. #11718367	C₂²	semidirect
122. D₁₃×#97	C₂²	semidirect
125. #11718350	C₂²	semidirect
126. #11718350	C₂²	semidirect
129. #11718349	C₂²	semidirect
130. C₄×#6094	C₂²	semidirect
133. C₈×D₅₂	C₂²	semidirect
134. C₄×C₈×D₁₃	C₂²	semidirect
464. #2962	D₁₃	semidirect
582. #446	C₂×D₁₃	semidirect
583. #446	C₂×D₁₃	semidirect
584. #446	C₂×D₁₃	semidirect
586. C₈×Q₈	C₂×D₁₃	semidirect
1023. C₁₃	#60212	semidirect

Maximal subgroups

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

subgroup	index
#13128228	2
#13123842	2
#13123839	2
#13123829	2
#13123820	2
#13123813	2
#13123810	2
#13123785	2
#13123582	2
#13123579	2
#13123564	2
#13123560	2
#13123486	2
#13123479	2
C₂×#11718501	2
#13123263	2
#13123258	2
#13123253	2
C₁₃×#2962	2
#60212	13