Subgroups — #16727343

Order 3328.

1838 conjugacy classes of subgroups.

The subgroup lattice has 1088 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#13128414	C₂	1	1	yes	maximal, characteristic
2	M₁₆×Dic₂₆	C₂	1	1	yes	maximal, characteristic, complemented
3	#13123788	C₂	1	2	yes	maximal, complemented
4	#13123781	C₂	1	2	yes	maximal, complemented
5	#13123781	C₂	1	2	yes	maximal, complemented
6	#13123780	C₂	1	1	yes	maximal, characteristic, complemented
7	#13123780	C₂	1	1	yes	maximal, characteristic, complemented
8	#13123778	C₂	1	2	yes	maximal, complemented
9	#13123777	C₂	1	1	yes	maximal, characteristic, complemented
10	#13123775	C₂	1	1	yes	maximal, characteristic, complemented
11	#13123772	C₂	1	2	yes	maximal, complemented
12	#13123772	C₂	1	2	yes	maximal, complemented
13	#13123769	C₂	1	1	yes	maximal, characteristic, complemented
14	#13123765	C₂	1	2	yes	maximal, complemented
15	C₂×#11718489	C₂	1	1	yes	maximal, characteristic, complemented
16	D₁₃×#446	C₂	1	2	yes	maximal, complemented
17	#13123403	C₂	1	1	yes	maximal, characteristic
18	#13123403	C₂	1	1	yes	maximal, characteristic
19	#13123401	C₂	1	1	yes	maximal, characteristic
20	#13123265	C₂	1	1	yes	maximal, characteristic
21	#13123263	C₂	1	1	yes	maximal, characteristic
22	#13123258	C₂	1	1	yes	maximal, characteristic
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×#88155	C₂²	1	1	yes	characteristic
28	C₂×#88155	C₂²	1	1	yes	characteristic
29	#11719435	C₄	1	1	yes	characteristic
30	#11719432	C₄	1	1	yes	characteristic
31	#11719427	C₄	1	1	yes	characteristic
32	#11719426	C₄	1	1	yes	characteristic
33	#11719395	C₄	1	1	yes	characteristic
34	#11719395	C₄	1	1	yes	characteristic
35	#11719390	C₄	1	1	yes	characteristic
36	#11719390	C₄	1	1	yes	characteristic
37	#11719341	C₄	1	2	yes	—
38	#11719341	C₄	1	2	yes	—
39	#11719340	C₄	1	2	yes	—
40	#11719337	C₄	1	2	yes	—
41	#11719283	C₂²	1	2	yes	—
42	#11719283	C₂²	1	2	yes	—
43	#11719283	C₂²	1	2	yes	—
44	C₄×Q₈×D₁₃	C₂²	1	2	yes	—
45	#11719227	C₂²	1	1	yes	characteristic
46	#11719227	C₂²	1	1	yes	characteristic
47	#11719222	C₂²	1	1	yes	characteristic
48	#11719222	C₂²	1	1	yes	characteristic
49	C₄×#6127	C₂²	1	1	yes	characteristic
50	C₂×C₄×Dic₂₆	C₂²	1	1	yes	characteristic
51	C₁₃×#446	C₂²	1	2	yes	—
52	C₁₃×#446	C₂²	1	2	yes	—
53	C₁₃×#446	C₂²	1	2	yes	—
54	C₈×Q₈×C₁₃	C₂²	1	2	yes	—
55	C₁₃×#424	C₂²	1	1	yes	characteristic
56	C₁₃×#424	C₂²	1	1	yes	characteristic
57	C₂×C₁₃×C₄⋊C₈	C₂²	1	1	yes	characteristic
58	C₁₃×#405	C₂²	1	1	yes	characteristic
59	C₁₃×#405	C₂²	1	1	yes	characteristic
60	C₄×C₁₃×M₁₆	C₂²	1	1	yes	characteristic
61	#11718783	C₂²	1	1	yes	characteristic
62	#11718783	C₂²	1	1	yes	characteristic
63	#11718779	C₂²	1	1	yes	characteristic
64	#11718779	C₂²	1	1	yes	characteristic
65	M₁₆×Dic₁₃	C₂²	1	1	yes	characteristic
66	M₁₆×Dic₁₃	C₂²	1	1	yes	characteristic
67	#11718763	C₂²	1	1	yes	characteristic
68	#11718763	C₂²	1	1	yes	characteristic
69	C₂×#88055	C₂²	1	1	yes	characteristic
70	C₂×#88054	C₂²	1	1	yes	characteristic
71	C₂×#88054	C₂²	1	1	yes	characteristic
72	C₂×C₈×Dic₁₃	C₂²	1	1	yes	characteristic
73	#11718685	C₂²	1	2	yes	—
74	#11718685	C₂²	1	2	yes	—
75	#11718685	C₂²	1	2	yes	—
76	#11718685	C₂²	1	2	yes	—
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	#11718585	C₂²	1	1	yes	characteristic
82	C₂×#88043	C₂²	1	1	yes	characteristic
83	#11718500	C₂²	1	2	yes	—
84	#11718500	C₂²	1	2	yes	—
85	#11718500	C₂²	1	2	yes	—
86	#11718500	C₂²	1	2	yes	—
87	#11718500	C₂²	1	2	yes	—
88	#11718500	C₂²	1	2	yes	—
89	#11718498	C₂²	1	2	yes	—
90	#11718498	C₂²	1	2	yes	—
91	#11718498	C₂²	1	2	yes	—
92	D₁₃×C₄⋊C₈	C₂²	1	2	yes	—
93	D₁₃×C₄⋊C₈	C₂²	1	2	yes	—
94	D₁₃×C₄⋊C₈	C₂²	1	2	yes	—
95	#11718492	C₂²	1	2	yes	—
96	#11718492	C₂²	1	2	yes	—
97	#11718491	C₂²	1	2	yes	—
98	#11718491	C₂²	1	2	yes	—
99	#11718489	C₂²	1	1	yes	characteristic
100	#11718489	C₂²	1	2	yes	—
101	#11718489	C₂²	1	1	yes	characteristic
102	#11718489	C₂²	1	1	yes	characteristic
103	#11718489	C₂²	1	1	yes	characteristic
104	#11718489	C₂²	1	1	yes	characteristic
105	#11718489	C₂²	1	1	yes	characteristic
106	#11718489	C₂²	1	1	yes	characteristic
107	#11718489	C₂²	1	1	yes	characteristic
108	#11718489	C₂²	1	2	yes	—
109	#11718489	C₂²	1	2	yes	—
110	#11718489	C₂²	1	2	yes	—
111	#11718369	C₂²	1	2	yes	—
112	#11718369	C₂²	1	2	yes	—
113	#11718368	C₂²	1	2	yes	—
114	#11718368	C₂²	1	2	yes	—
115	D₁₃×#97	C₂²	1	2	yes	—
116	D₁₃×#97	C₂²	1	2	yes	—
117	#11718362	C₂²	1	2	yes	—
118	#11718362	C₂²	1	2	yes	—
119	#11718362	C₂²	1	2	yes	—
120	#11718362	C₂²	1	2	yes	—
121	#11718362	C₂²	1	2	yes	—
122	#11718362	C₂²	1	2	yes	—
123	#11718350	C₂²	1	2	yes	—
124	#11718350	C₂²	1	2	yes	—
125	#11718350	C₂²	1	2	yes	—
126	#11718350	C₂²	1	2	yes	—
127	C₄×#6094	C₂²	1	2	yes	—
128	C₄×C₈×D₁₃	C₂²	1	2	yes	—
129	#11718340	C₂²	1	2	yes	—
130	#11718340	C₂²	1	2	yes	—
131	#11718340	C₂²	1	2	yes	—
132	C₈×Dic₂₆	C₂²	1	2	yes	—
133	C₈×Dic₂₆	C₂²	1	2	yes	—
134	C₈×Dic₂₆	C₂²	1	2	yes	—
135	C₂×Q₈×D₁₃	C₂×C₄	1	2	yes	—
136	C₂×#6127	C₂³	1	1	yes	characteristic
137	C₂²×Dic₂₆	C₂×C₄	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	#88200	C₂×C₄	1	2	yes	—
154	#88200	C₂×C₄	1	2	yes	—
155	#88200	C₂×C₄	1	2	yes	—
156	Q₈×Dic₁₃	C₂×C₄	1	2	yes	—
157	#88198	C₂×C₄	1	2	yes	—
158	#88198	C₂×C₄	1	2	yes	—
159	#88198	C₂×C₄	1	2	yes	—
160	C₄×C₂²⋊D₁₃	C₂×C₄	1	2	yes	—
161	C₄×C₂²⋊D₁₃	C₂×C₄	1	2	yes	—
162	#88180	C₂³	1	1	yes	characteristic
163	C₂×C₄⋊Dic₁₃	C₂×C₄	1	1	yes	characteristic
164	C₂×#6101	C₂×C₄	1	1	yes	characteristic
165	C₂×#6101	C₂×C₄	1	1	yes	characteristic
166	C₂×C₄×Dic₁₃	C₂³	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	Q₈	1	8	yes	complemented
174	#88155	—	2	4	no	—
175	#88155	—	2	4	no	—
176	C₂×#6094	C₂³	1	2	yes	—
177	C₂×#6094	C₂³	1	2	yes	—
178	C₂×#6094	C₂³	1	2	yes	—
179	C₂×#6094	C₂³	1	2	yes	—
180	C₂×C₈×D₁₃	C₂³	1	2	yes	—
181	C₂×C₈×D₁₃	C₂³	1	2	yes	—
182	C₂×C₈×D₁₃	C₂³	1	2	yes	—
183	C₂×C₈×D₁₃	C₂³	1	2	yes	—
184	#88151	C₂×C₄	1	2	yes	—
185	#88151	C₂×C₄	1	2	yes	—
186	#88151	C₂×C₄	1	2	yes	—
187	#88150	C₂×C₄	1	2	yes	—
188	#88150	C₂×C₄	1	2	yes	—
189	#88150	C₂×C₄	1	2	yes	—
190	#88150	C₂×C₄	1	2	yes	—
191	#88150	C₂×C₄	1	2	yes	—
192	#88150	C₂×C₄	1	2	yes	—
193	#88147	C₂×C₄	1	1	yes	characteristic
194	#88147	C₂×C₄	1	1	yes	characteristic
195	#88147	C₂×C₄	1	1	yes	characteristic
196	#88147	C₂×C₄	1	1	yes	characteristic
197	C₄⋊C₄×D₁₃	C₂×C₄	1	2	yes	—
198	C₄⋊C₄×D₁₃	C₂×C₄	1	2	yes	—
199	C₄⋊C₄×D₁₃	C₂×C₄	1	2	yes	—
200	#88144	C₂×C₄	1	1	yes	characteristic
201	#88144	C₂×C₄	1	1	yes	characteristic
202	#88144	C₂×C₄	1	1	yes	characteristic
203	#88144	C₂×C₄	1	1	yes	characteristic
204	#88143	C₂×C₄	1	2	yes	—
205	#88143	C₂×C₄	1	2	yes	—
206	#88143	C₂×C₄	1	2	yes	—
207	#88143	C₂×C₄	1	2	yes	—
208	#88143	C₂×C₄	1	2	yes	—
209	#88143	C₂×C₄	1	2	yes	—
210	#88142	C₂×C₄	1	1	yes	characteristic
211	#88142	C₂×C₄	1	1	yes	characteristic
212	#88142	C₂×C₄	1	2	yes	—
213	#88142	C₂×C₄	1	1	yes	characteristic
214	#88142	C₂×C₄	1	1	yes	characteristic
215	#88142	C₂×C₄	1	2	yes	—
216	#88142	C₂×C₄	1	2	yes	—
217	#88141	C₂×C₄	1	1	yes	characteristic
218	#88141	C₂×C₄	1	1	yes	characteristic
219	#88141	C₂×C₄	1	1	yes	characteristic
220	#88141	C₂×C₄	1	1	yes	characteristic
221	#88141	C₂×C₄	1	2	yes	—
222	#88141	C₂×C₄	1	2	yes	—
223	#88141	C₂×C₄	1	2	yes	—
224	#88135	C₂×C₄	1	2	yes	—
225	#88135	C₂×C₄	1	2	yes	—
226	#88135	C₂×C₄	1	2	yes	—
227	#88135	C₂×C₄	1	2	yes	—
228	#88132	C₂×C₄	1	2	yes	—
229	#88132	C₂×C₄	1	2	yes	—
230	#88132	C₂×C₄	1	2	yes	—
231	#88132	C₂×C₄	1	2	yes	—
232	C₄×D₅₂	C₂×C₄	1	1	yes	characteristic
233	C₄×D₅₂	C₂×C₄	1	1	yes	characteristic
234	#88126	C₂³	1	2	yes	—
235	#88126	C₂³	1	2	yes	—
236	#88126	C₂³	1	2	yes	—
237	C₄²×D₁₃	C₂³	1	2	yes	—
238	C₄²×D₁₃	C₂³	1	2	yes	—
239	C₄²×D₁₃	C₂³	1	2	yes	—
240	C₄×Dic₂₆	C₂×C₄	1	1	yes	characteristic
241	C₄×Dic₂₆	C₂×C₄	1	1	yes	characteristic
242	C₄×Dic₂₆	C₂×C₄	1	1	yes	characteristic
243	C₄×Dic₂₆	C₂×C₄	1	1	yes	characteristic
244	C₄×Dic₂₆	C₂×C₄	1	1	yes	characteristic
245	C₄×Dic₂₆	C₂×C₄	1	1	yes	characteristic
246	C₄×Dic₂₆	C₂³	1	1	yes	characteristic
247	C₄×Dic₂₆	C₂³	1	1	yes	characteristic
248	C₄×Dic₂₆	C₂³	1	1	yes	characteristic
249	C₄×Dic₂₆	C₂³	1	1	yes	characteristic
250	C₄×Dic₂₆	C₂³	1	2	yes	—
251	C₄×Dic₂₆	C₂³	1	2	yes	—
252	C₄×Dic₂₆	C₂³	1	2	yes	—
253	C₄×Dic₂₆	C₂³	1	2	yes	—
254	C₁₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
255	C₁₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
256	C₁₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
257	C₁₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
258	C₁₃×C₄⋊C₈	C₂³	1	2	yes	—
259	C₁₃×C₄⋊C₈	C₂³	1	2	yes	—
260	C₁₃×C₄⋊C₈	C₂³	1	2	yes	—
261	C₁₃×C₄⋊C₈	C₂³	1	2	yes	—
262	C₁₃×#97	C₂³	1	2	yes	—
263	C₁₃×#97	C₂³	1	2	yes	—
264	C₁₃×#97	C₂³	1	2	yes	—
265	C₄×C₈×C₁₃	C₂³	1	2	yes	—
266	C₄×C₈×C₁₃	C₂³	1	2	yes	—
267	C₄×C₈×C₁₃	C₂³	1	2	yes	—
268	#88055	C₂³	1	1	yes	characteristic
269	#88055	C₂³	1	1	yes	characteristic
270	#88055	C₂³	1	1	yes	characteristic
271	#88055	C₂³	1	1	yes	characteristic
272	#88055	C₂³	1	2	yes	—
273	#88055	C₂³	1	2	yes	—
274	#88055	C₂³	1	2	yes	—
275	#88055	C₂³	1	2	yes	—
276	#88054	C₂³	1	1	yes	characteristic
277	#88054	C₂³	1	1	yes	characteristic
278	#88054	C₂³	1	1	yes	characteristic
279	#88054	C₂³	1	1	yes	characteristic
280	#88054	C₂³	1	1	yes	characteristic
281	#88054	C₂³	1	1	yes	characteristic
282	#88054	C₂³	1	1	yes	characteristic
283	#88054	C₂³	1	1	yes	characteristic
284	#88054	C₂³	1	2	yes	—
285	#88054	C₂³	1	2	yes	—
286	#88054	C₂³	1	2	yes	—
287	#88054	C₂³	1	2	yes	—
288	#88054	C₂³	1	2	yes	—
289	#88054	C₂³	1	2	yes	—
290	#88054	C₂³	1	2	yes	—
291	#88054	C₂³	1	2	yes	—
292	C₈×Dic₁₃	C₂³	1	1	yes	characteristic
293	C₈×Dic₁₃	C₂³	1	1	yes	characteristic
294	C₈×Dic₁₃	C₂³	1	1	yes	characteristic
295	C₈×Dic₁₃	C₂³	1	1	yes	characteristic
296	C₈×Dic₁₃	C₂³	1	2	yes	—
297	C₈×Dic₁₃	C₂³	1	2	yes	—
298	C₈×Dic₁₃	C₂³	1	2	yes	—
299	C₈×Dic₁₃	C₂³	1	2	yes	—
300	C₄⋊#1055	C₂³	1	2	yes	—
301	C₄⋊#1055	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	#88043	C₂³	1	2	yes	—
307	#88043	C₂³	1	2	yes	—
308	#88043	C₂³	1	1	yes	characteristic
309	#88043	C₂³	1	1	yes	characteristic
310	#88043	C₂³	1	1	yes	characteristic
311	#88043	C₂³	1	1	yes	characteristic
312	C₄×#1055	C₂³	1	2	yes	—
313	C₄×#1055	C₂³	1	2	yes	—
314	#60195	—	13	1	no	maximal, Sylow
315	C₂×Q₈×C₁₃	C₂²×C₄	1	2	yes	—
316	C₂×Q₈×C₁₃	C₂²×C₄	1	2	yes	—
317	C₂²×C₄×C₁₃	C₂²×C₄	1	1	yes	characteristic
318	C₂²×C₄×C₁₃	C₂²×C₄	1	1	yes	characteristic
319	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
320	C₂×C₂²⋊D₁₃	C₂²×C₄	1	2	yes	—
321	C₂²×Dic₁₃	C₂²×C₄	1	1	yes	characteristic
322	C₂²×Dic₁₃	C₂²×C₄	1	1	yes	characteristic
323	C₂²×Dic₁₃	C₂²×C₄	1	1	yes	characteristic
324	C₂²×Dic₁₃	C₂²×C₄	1	1	yes	characteristic
325	Q₈×D₁₃	—	4	4	no	—
326	#6127	C₂×Q₈	1	4	yes	—
327	#6127	#41	1	4	yes	—
328	C₂×D₅₂	C₂²×C₄	1	1	yes	characteristic
329	C₂×C₄×D₁₃	C₂²×C₄	1	2	yes	—
330	C₂×C₄×D₁₃	C₂²×C₄	1	2	yes	—
331	C₂×C₄×D₁₃	C₂²×C₄	1	2	yes	—
332	C₂×C₄×D₁₃	C₂²×C₄	1	2	yes	—
333	C₂×C₄×D₁₃	C₂²×C₄	1	2	yes	—
334	C₂×C₄×D₁₃	C₂²×C₄	1	2	yes	—
335	C₂×C₄×D₁₃	C₂⁴	1	2	yes	—
336	C₂×Dic₂₆	—	4	2	no	—
337	C₂×Dic₂₆	C₂²×C₄	1	1	yes	characteristic
338	C₂×Dic₂₆	C₂²×C₄	1	1	yes	characteristic
339	C₂×Dic₂₆	C₂²×C₄	1	2	yes	—
340	C₂×Dic₂₆	C₂²×C₄	1	1	yes	characteristic
341	C₂×Dic₂₆	C₂²×C₄	1	1	yes	characteristic
342	C₂×Dic₂₆	C₂²×C₄	1	2	yes	—
343	C₂×Dic₂₆	C₂²×C₄	1	2	yes	—
344	C₂×Dic₂₆	C₂²×C₄	1	2	yes	—
345	C₂×Dic₂₆	C₂²×C₄	1	1	yes	characteristic
346	C₁₃×M₁₆	—	2	2	no	—
347	C₁₃×M₁₆	C₂×Q₈	1	4	yes	complemented
348	C₂×C₈×C₁₃	—	2	2	no	—
349	C₂×C₈×C₁₃	—	2	2	no	—
350	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
351	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
352	C₂×C₈×C₁₃	C₂⁴	1	2	yes	—
353	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
354	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
355	C₂×C₈×C₁₃	C₂⁴	1	2	yes	—
356	C₁₃×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
357	C₁₃×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
358	C₁₃×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
359	C₁₃×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
360	C₁₃×C₄⋊C₄	C₂²×C₄	1	2	yes	—
361	C₁₃×C₄⋊C₄	C₂²×C₄	1	2	yes	—
362	C₁₃×C₄⋊C₄	C₂²×C₄	1	2	yes	—
363	C₁₃×C₄⋊C₄	C₂²×C₄	1	2	yes	—
364	C₁₃×C₄⋊C₄	C₂²×C₄	1	2	yes	—
365	C₁₃×C₄⋊C₄	C₂²×C₄	1	2	yes	—
366	C₁₃×C₂²⋊C₄	C₂²×C₄	1	2	yes	—
367	C₁₃×C₂²⋊C₄	C₂²×C₄	1	2	yes	—
368	C₄²×C₁₃	C₂²×C₄	1	1	yes	characteristic
369	C₄²×C₁₃	C₂²×C₄	1	1	yes	characteristic
370	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
371	C₄²×C₁₃	C₂⁴	1	2	yes	—
372	C₄²×C₁₃	C₂⁴	1	2	yes	—
373	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
374	C₂²⋊Dic₁₃	C₂²×C₄	1	2	yes	—
375	#6103	C₂²×C₄	1	2	yes	—
376	#6103	C₂²×C₄	1	2	yes	—
377	#6103	C₂²×C₄	1	2	yes	—
378	#6103	C₂²×C₄	1	2	yes	—
379	#6103	C₂²×C₄	1	2	yes	—
380	#6103	C₂²×C₄	1	2	yes	—
381	C₄⋊Dic₁₃	C₂²×C₄	1	1	yes	characteristic
382	C₄⋊Dic₁₃	C₂²×C₄	1	1	yes	characteristic
383	C₄⋊Dic₁₃	C₂²×C₄	1	1	yes	characteristic
384	C₄⋊Dic₁₃	C₂²×C₄	1	1	yes	characteristic
385	C₄⋊Dic₁₃	C₂²×C₄	1	1	yes	characteristic
386	C₄⋊Dic₁₃	C₂²×C₄	1	1	yes	characteristic
387	C₄⋊Dic₁₃	C₂²×C₄	1	2	yes	—
388	C₄⋊Dic₁₃	C₂²×C₄	1	2	yes	—
389	C₄⋊Dic₁₃	C₂²×C₄	1	2	yes	—
390	C₄⋊Dic₁₃	C₂²×C₄	1	2	yes	—
391	#6101	C₂²×C₄	1	1	yes	characteristic
392	#6101	C₂²×C₄	1	1	yes	characteristic
393	#6101	C₂²×C₄	1	1	yes	characteristic
394	#6101	C₂²×C₄	1	1	yes	characteristic
395	#6101	C₂²×C₄	1	1	yes	characteristic
396	#6101	C₂²×C₄	1	1	yes	characteristic
397	#6101	C₂²×C₄	1	1	yes	characteristic
398	#6101	C₂²×C₄	1	1	yes	characteristic
399	#6101	C₂²×C₄	1	2	yes	—
400	#6101	C₂²×C₄	1	2	yes	—
401	#6101	C₂²×C₄	1	2	yes	—
402	#6101	C₂²×C₄	1	2	yes	—
403	#6101	C₂²×C₄	1	2	yes	—
404	#6101	C₂²×C₄	1	2	yes	—
405	#6101	C₂²×C₄	1	2	yes	—
406	#6101	C₂²×C₄	1	2	yes	—
407	#6101	C₂²×C₄	1	2	yes	—
408	#6101	C₂²×C₄	1	2	yes	—
409	#6101	C₂²×C₄	1	2	yes	—
410	#6101	C₂²×C₄	1	2	yes	—
411	#6101	C₂²×C₄	1	2	yes	—
412	#6101	C₂²×C₄	1	2	yes	—
413	C₄×Dic₁₃	C₂²×C₄	1	1	yes	characteristic
414	C₄×Dic₁₃	C₂²×C₄	1	1	yes	characteristic
415	C₄×Dic₁₃	C₂²×C₄	1	1	yes	characteristic
416	C₄×Dic₁₃	C₂²×C₄	1	1	yes	characteristic
417	C₄×Dic₁₃	C₂²×C₄	1	2	yes	—
418	C₄×Dic₁₃	C₂²×C₄	1	2	yes	—
419	C₄×Dic₁₃	C₂²×C₄	1	2	yes	—
420	C₄×Dic₁₃	C₂²×C₄	1	2	yes	—
421	C₄×Dic₁₃	C₂²×C₄	1	2	yes	—
422	C₄×Dic₁₃	C₂²×C₄	1	2	yes	—
423	C₄×Dic₁₃	C₂⁴	1	1	yes	characteristic
424	C₄×Dic₁₃	C₂⁴	1	1	yes	characteristic
425	C₄×Dic₁₃	C₂⁴	1	2	yes	—
426	C₄×Dic₁₃	C₂⁴	1	1	yes	characteristic
427	C₄×Dic₁₃	C₂⁴	1	1	yes	characteristic
428	#6099	—	2	2	no	—
429	#6099	—	2	2	no	—
430	C₂×#1055	—	2	2	no	—
431	C₂×#1055	C₂×Q₈	1	4	yes	complemented
432	C₂×#1055	C₂⁴	1	1	yes	characteristic
433	C₂×#1055	C₂⁴	1	2	yes	—
434	C₂×#1055	C₂⁴	1	2	yes	—
435	C₂×#1055	C₂⁴	1	1	yes	characteristic
436	C₂×#1055	C₂⁴	1	1	yes	characteristic
437	C₂×#1055	C₂⁴	1	1	yes	characteristic
438	#6094	—	2	4	no	—
439	#6094	—	2	4	no	—
440	#6094	—	2	4	no	—
441	#6094	C₂×Q₈	1	8	yes	complemented
442	C₈×D₁₃	—	2	4	no	—
443	C₈×D₁₃	—	2	4	no	—
444	C₈×D₁₃	—	2	4	no	—
445	C₈×D₁₃	C₂×Q₈	1	8	yes	complemented
446	Q₈×#41	—	13	1	no	—
447	Q₈×M₁₆	—	13	2	no	—
448	Q₈×M₁₆	—	13	1	no	—
449	#2962	—	13	2	no	—
450	#2962	—	13	2	no	—
451	#2962	—	13	2	no	—
452	#2962	—	13	1	no	—
453	#2962	—	13	1	no	—
454	#2962	D₁₃	1	1	yes	characteristic, complemented
455	#2961	—	13	2	no	—
456	#2961	—	13	2	no	—
457	#2961	—	13	1	no	—
458	#2961	—	13	1	no	—
459	#2960	—	13	2	no	—
460	#2960	—	13	1	no	—
461	C₂×#446	—	13	2	no	—
462	C₂×#446	—	13	1	no	—
463	#2906	—	13	1	no	—
464	#2906	—	13	1	no	—
465	#2906	—	13	1	no	—
466	#2875	—	13	1	no	—
467	#2875	—	13	1	no	—
468	C₄×#131	—	13	1	no	—
469	C₂³×C₁₃	C₂³×C₄	1	1	yes	characteristic
470	C₂²×D₁₃	C₂³×C₄	1	2	yes	—
471	Q₈×C₁₃	—	4	2	no	—
472	Q₈×C₁₃	—	4	2	no	—
473	C₂×C₄×C₁₃	—	4	1	no	—
474	C₂×C₄×C₁₃	—	4	1	no	—
475	C₂×C₄×C₁₃	C₂³×C₄	1	1	yes	characteristic
476	C₂×C₄×C₁₃	C₂³×C₄	1	1	yes	characteristic
477	C₂×C₄×C₁₃	C₂³×C₄	1	2	yes	—
478	C₂×C₄×C₁₃	C₂³×C₄	1	2	yes	—
479	C₂×C₄×C₁₃	C₂³×C₄	1	2	yes	—
480	C₂×C₄×C₁₃	C₂³×C₄	1	2	yes	—
481	C₂×C₄×C₁₃	C₂³×C₄	1	1	yes	characteristic
482	C₂×C₄×C₁₃	C₂³×C₄	1	1	yes	characteristic
483	C₂×C₄×C₁₃	C₂³×C₄	1	1	yes	characteristic
484	C₂×C₄×C₁₃	C₂²×Q₈	1	2	yes	—
485	C₂×C₄×C₁₃	C₂×#41	1	2	yes	—
486	C₂×C₄×C₁₃	C₂⁵	1	1	yes	characteristic
487	C₂²⋊D₁₃	C₄×Q₈	1	8	yes	—
488	C₂×Dic₁₃	—	2	2	no	—
489	C₂×Dic₁₃	—	4	1	no	—
490	C₂×Dic₁₃	—	4	1	no	—
491	C₂×Dic₁₃	—	4	1	no	—
492	C₂×Dic₁₃	C₂³×C₄	1	1	yes	characteristic
493	C₂×Dic₁₃	C₂³×C₄	1	1	yes	characteristic
494	C₂×Dic₁₃	C₂³×C₄	1	1	yes	characteristic
495	C₂×Dic₁₃	C₂³×C₄	1	1	yes	characteristic
496	C₂×Dic₁₃	C₂³×C₄	1	1	yes	characteristic
497	C₂×Dic₁₃	C₂³×C₄	1	1	yes	characteristic
498	C₂×Dic₁₃	C₂³×C₄	1	1	yes	characteristic
499	C₂×Dic₁₃	C₂³×C₄	1	2	yes	—
500	C₂×Dic₁₃	C₂³×C₄	1	2	yes	—
501	C₂×Dic₁₃	C₂³×C₄	1	2	yes	—
502	C₂×Dic₁₃	C₂³×C₄	1	1	yes	characteristic
503	D₅₂	C₄×Q₈	1	4	yes	—
504	C₄×D₁₃	—	2	4	no	—
505	C₄×D₁₃	—	4	2	no	—
506	C₄×D₁₃	—	4	2	no	—
507	C₄×D₁₃	—	4	2	no	—
508	C₄×D₁₃	—	4	2	no	—
509	C₄×D₁₃	—	4	2	no	—
510	C₄×D₁₃	C₂²×Q₈	1	4	yes	—
511	C₄×D₁₃	C₂×#41	1	4	yes	—
512	Dic₂₆	—	2	2	no	—
513	Dic₂₆	—	2	2	no	—
514	Dic₂₆	—	2	4	no	—
515	Dic₂₆	—	4	1	no	—
516	Dic₂₆	—	4	1	no	—
517	Dic₂₆	—	4	2	no	—
518	Dic₂₆	—	4	2	no	—
519	Dic₂₆	—	4	2	no	—
520	Dic₂₆	C₄×Q₈	1	4	yes	—
521	C₈×C₁₃	—	2	1	no	—
522	C₈×C₁₃	—	2	1	no	—
523	C₈×C₁₃	—	2	2	no	—
524	C₈×C₁₃	—	2	1	no	—
525	C₈×C₁₃	—	2	1	no	—
526	C₈×C₁₃	C₂²×Q₈	1	4	yes	—
527	#1055	—	2	1	no	—
528	#1055	—	2	2	no	—
529	#1055	—	2	2	no	—
530	#1055	—	2	1	no	—
531	#1055	C₂²×Q₈	1	2	yes	—
532	#1055	C₂²×Q₈	1	2	yes	—
533	C₂×#131	—	13	1	no	—
534	C₂×#131	—	13	1	no	—
535	C₂×#131	—	13	1	no	—
536	C₂×#131	—	13	1	no	—
537	Q₈²	—	13	1	no	—
538	#557	—	13	1	no	—
539	#557	—	13	1	no	—
540	#557	—	13	1	no	—
541	#554	—	13	1	no	—
542	#554	—	13	1	no	—
543	#554	—	13	1	no	—
544	#554	—	13	2	no	—
545	#554	—	13	2	no	—
546	#554	—	13	2	no	—
547	D₄×Q₈	—	13	1	no	—
548	D₄×Q₈	—	13	2	no	—
549	#533	—	13	2	no	—
550	#533	—	13	2	no	—
551	#533	—	13	2	no	—
552	#533	—	13	1	no	—
553	#533	—	13	1	no	—
554	#533	C₂×D₁₃	1	1	yes	characteristic
555	C₄×#41	—	13	1	no	—
556	C₄×#41	—	13	1	no	—
557	C₄×#41	—	13	1	no	—
558	C₂×C₄×Q₈	—	13	2	no	—
559	C₂×C₄×Q₈	—	13	1	no	—
560	#446	—	13	2	no	—
561	#446	—	13	2	no	—
562	#446	—	13	2	no	—
563	#446	—	13	2	no	—
564	#446	—	13	1	no	—
565	#446	—	13	2	no	—
566	#446	—	13	1	no	—
567	#446	—	13	1	no	—
568	#446	—	13	1	no	—
569	#446	—	13	1	no	—
570	#446	—	13	1	no	—
571	#446	—	13	1	no	—
572	#446	—	13	1	no	—
573	#446	—	13	2	no	—
574	#446	—	13	2	no	—
575	#446	—	13	2	no	—
576	#446	—	13	2	no	—
577	#446	—	13	2	no	—
578	#446	—	13	2	no	—
579	#446	—	13	2	no	—
580	#446	—	13	2	no	—
581	#446	—	13	2	no	—
582	#446	—	13	2	no	—
583	#446	—	13	2	no	—
584	#446	—	13	2	no	—
585	#446	—	13	2	no	—
586	#446	—	13	2	no	—
587	#446	C₂×D₁₃	1	2	yes	—
588	#446	C₂×D₁₃	1	2	yes	—
589	#446	C₂×D₁₃	1	2	yes	—
590	C₈×Q₈	—	13	2	no	—
591	C₈×Q₈	—	13	2	no	—
592	C₈×Q₈	—	13	2	no	—
593	C₈×Q₈	—	13	2	no	—
594	C₈×Q₈	—	13	2	no	—
595	C₈×Q₈	C₂×D₁₃	1	2	yes	—
596	#424	—	13	1	no	—
597	#424	—	13	1	no	—
598	#424	—	13	1	no	—
599	#424	—	13	1	no	—
600	#424	—	13	2	no	—
601	#424	—	13	2	no	—
602	#424	—	13	2	no	—
603	#424	—	13	2	no	—
604	#424	—	13	2	no	—
605	#424	—	13	2	no	—
606	#424	C₂×D₁₃	1	1	yes	characteristic
607	#424	C₂×D₁₃	1	1	yes	characteristic
608	#423	—	13	1	no	—
609	#423	—	13	1	no	—
610	#423	—	13	1	no	—
611	#423	—	13	2	no	—
612	#423	—	13	2	no	—
613	#423	—	13	2	no	—
614	C₂×C₄⋊C₈	—	13	1	no	—
615	C₂×C₄⋊C₈	—	13	1	no	—
616	C₂×C₄⋊C₈	—	13	2	no	—
617	C₂×C₄⋊C₈	—	13	2	no	—
618	C₂×C₄⋊C₈	—	13	2	no	—
619	C₂×C₄⋊C₈	C₂×D₁₃	1	1	yes	characteristic
620	#405	—	13	1	no	—
621	#405	—	13	1	no	—
622	#405	—	13	1	no	—
623	#405	—	13	1	no	—
624	#405	—	13	2	no	—
625	#405	—	13	2	no	—
626	#405	—	13	2	no	—
627	#405	—	13	2	no	—
628	#405	—	13	2	no	—
629	#405	—	13	2	no	—
630	#405	C₂×D₁₃	1	1	yes	characteristic
631	#405	C₂×D₁₃	1	1	yes	characteristic
632	C₄×M₁₆	—	13	1	no	—
633	C₄×M₁₆	—	13	1	no	—
634	C₄×M₁₆	—	13	2	no	—
635	C₄×M₁₆	—	13	2	no	—
636	C₄×M₁₆	—	13	2	no	—
637	C₄×M₁₆	C₂×D₁₃	1	1	yes	characteristic
638	C₂×#97	—	13	1	no	—
639	C₂×#97	—	13	1	no	—
640	C₂×#97	—	13	2	no	—
641	C₂×#97	—	13	2	no	—
642	C₂×C₄×C₈	—	13	1	no	—
643	C₂×C₄×C₈	—	13	2	no	—
644	C₂²×C₁₃	—	2	1	no	—
645	C₂²×C₁₃	—	2	1	no	—
646	C₂²×C₁₃	C₂×C₄×Q₈	1	2	yes	—
647	C₂²×C₁₃	C₂⁴×C₄	1	1	yes	characteristic
648	C₂×D₁₃	—	2	2	no	—
649	C₂×D₁₃	—	2	2	no	—
650	C₂×D₁₃	C₂×C₄×Q₈	1	4	yes	—
651	C₄×C₁₃	—	2	1	no	—
652	C₄×C₁₃	—	2	1	no	—
653	C₄×C₁₃	—	2	2	no	—
654	C₄×C₁₃	—	2	2	no	—
655	C₄×C₁₃	—	2	2	no	—
656	C₄×C₁₃	—	2	2	no	—
657	C₄×C₁₃	—	2	1	no	—
658	C₄×C₁₃	—	2	1	no	—
659	C₄×C₁₃	C₂×C₄×Q₈	1	2	yes	—
660	C₄×C₁₃	C₂³×Q₈	1	1	yes	characteristic
661	C₄×C₁₃	C₂²×#41	1	1	yes	characteristic
662	Dic₁₃	—	2	1	no	—
663	Dic₁₃	—	2	2	no	—
664	Dic₁₃	—	2	1	no	—
665	Dic₁₃	—	2	1	no	—
666	Dic₁₃	—	2	2	no	—
667	Dic₁₃	—	2	1	no	—
668	Dic₁₃	—	2	1	no	—
669	Dic₁₃	—	2	1	no	—
670	Dic₁₃	—	2	1	no	—
671	Dic₁₃	C₂×C₄×Q₈	1	4	yes	—
672	Dic₁₃	#568	1	2	yes	—
673	C₂×#41	—	13	1	no	—
674	C₂²×Q₈	—	13	2	no	—
675	C₂²×Q₈	—	13	1	no	—
676	#131	—	13	8	no	—
677	#131	—	26	4	no	—
678	#131	—	26	4	no	—
679	#131	—	26	4	no	—
680	C₂×M₁₆	—	13	1	no	—
681	C₂×M₁₆	—	13	1	no	—
682	C₂×M₁₆	—	13	2	no	—
683	C₂×M₁₆	—	13	2	no	—
684	C₂×M₁₆	—	13	2	no	—
685	C₂×M₁₆	—	13	2	no	—
686	C₂×M₁₆	C₂²×D₁₃	1	1	yes	characteristic
687	C₂×M₁₆	C₂²×D₁₃	1	1	yes	characteristic
688	C₂²×C₈	—	13	1	no	—
689	C₂²×C₈	—	13	2	no	—
690	C₂²×C₈	—	13	1	no	—
691	C₂²×C₈	—	13	2	no	—
692	C₂²×C₈	—	13	2	no	—
693	C₂²×C₈	—	13	2	no	—
694	C₂²×C₈	C₂²×D₁₃	1	1	yes	characteristic
695	C₂²×C₈	C₂²×D₁₃	1	1	yes	characteristic
696	C₄⋊Q₈	—	13	2	no	—
697	C₄⋊Q₈	—	13	2	no	—
698	C₄⋊Q₈	—	13	2	no	—
699	C₄⋊Q₈	—	13	2	no	—
700	C₄⋊Q₈	—	13	2	no	—
701	C₄⋊Q₈	—	13	1	no	—
702	C₄⋊Q₈	—	13	1	no	—
703	C₄⋊Q₈	—	13	1	no	—
704	C₄⋊Q₈	—	13	1	no	—
705	C₄⋊Q₈	—	13	2	no	—
706	C₄⋊Q₈	C₄×D₁₃	1	1	yes	characteristic
707	C₄⋊Q₈	C₄×D₁₃	1	1	yes	characteristic
708	#125	—	13	2	no	—
709	#125	—	13	2	no	—
710	#125	—	13	2	no	—
711	#125	—	13	2	no	—
712	#125	—	13	2	no	—
713	#125	—	13	2	no	—
714	#125	—	13	1	no	—
715	#125	—	13	1	no	—
716	#125	—	13	1	no	—
717	#125	—	13	1	no	—
718	#125	C₄×D₁₃	1	1	yes	characteristic
719	#125	C₄×D₁₃	1	1	yes	characteristic
720	C₂²⋊Q₈	—	13	2	no	—
721	C₂²⋊Q₈	—	13	2	no	—
722	C₂²⋊Q₈	—	13	2	no	—
723	C₂²⋊Q₈	—	13	2	no	—
724	C₂²⋊Q₈	—	13	2	no	—
725	C₂²⋊Q₈	—	13	2	no	—
726	C₂²⋊Q₈	—	13	2	no	—
727	C₂²⋊Q₈	—	13	2	no	—
728	C₂²⋊Q₈	—	13	2	no	—
729	C₂²⋊Q₈	—	13	2	no	—
730	C₂²⋊Q₈	—	13	2	no	—
731	C₂²⋊Q₈	—	13	2	no	—
732	C₂²⋊Q₈	—	13	2	no	—
733	C₂²⋊Q₈	—	13	2	no	—
734	C₂²⋊Q₈	—	13	2	no	—
735	C₂²⋊Q₈	—	13	2	no	—
736	C₂²⋊Q₈	C₄×D₁₃	1	2	yes	—
737	C₂²⋊Q₈	C₄×D₁₃	1	2	yes	—
738	C₄×Q₈	—	13	2	no	—
739	C₄×Q₈	—	13	2	no	—
740	C₄×Q₈	—	13	2	no	—
741	C₄×Q₈	—	13	2	no	—
742	C₄×Q₈	—	13	1	no	—
743	C₄×Q₈	—	13	1	no	—
744	C₄×Q₈	—	13	1	no	—
745	C₄×Q₈	—	13	1	no	—
746	C₄×Q₈	—	13	1	no	—
747	C₄×Q₈	—	13	1	no	—
748	C₄×Q₈	—	13	1	no	—
749	C₄×Q₈	—	13	1	no	—
750	C₄×Q₈	—	13	1	no	—
751	C₄×Q₈	—	13	1	no	—
752	C₄×Q₈	—	13	1	no	—
753	C₄×Q₈	—	13	2	no	—
754	C₄×Q₈	—	13	1	no	—
755	C₄×Q₈	—	13	1	no	—
756	C₄×Q₈	—	13	2	no	—
757	C₄×Q₈	—	13	1	no	—
758	C₄×Q₈	—	13	2	no	—
759	C₄×Q₈	—	13	2	no	—
760	C₄×Q₈	C₂²×D₁₃	1	2	yes	—
761	C₄×Q₈	C₂²×D₁₃	1	2	yes	—
762	C₄×D₄	—	13	2	no	—
763	C₄×D₄	—	13	2	no	—
764	C₄×D₄	—	13	1	no	—
765	C₄×D₄	—	13	1	no	—
766	C₄×D₄	—	13	1	no	—
767	C₄×D₄	—	13	1	no	—
768	C₄×D₄	—	13	2	no	—
769	C₄×D₄	—	13	2	no	—
770	C₄×D₄	—	13	2	no	—
771	C₄×D₄	—	13	2	no	—
772	C₄×D₄	—	13	1	no	—
773	C₄×D₄	—	13	1	no	—
774	#117	—	13	1	no	—
775	#117	—	13	2	no	—
776	#117	—	13	2	no	—
777	#117	—	13	2	no	—
778	#117	C₂²×D₁₃	1	1	yes	characteristic
779	#117	C₂²×D₁₃	1	1	yes	characteristic
780	C₂×C₄⋊C₄	—	13	1	no	—
781	C₂×C₄⋊C₄	—	13	1	no	—
782	C₂×C₄⋊C₄	—	13	1	no	—
783	C₂×C₄⋊C₄	—	13	2	no	—
784	C₂×C₄⋊C₄	—	13	2	no	—
785	C₂×C₄⋊C₄	—	13	2	no	—
786	C₂×C₄²	—	13	1	no	—
787	C₂×C₄²	—	13	1	no	—
788	C₂×C₄²	—	13	2	no	—
789	C₂×C₄²	—	13	2	no	—
790	C₂×C₄²	—	13	2	no	—
791	C₂×C₄²	C₂²×D₁₃	1	1	yes	characteristic
792	C₄⋊C₈	—	13	1	no	—
793	C₄⋊C₈	—	13	1	no	—
794	C₄⋊C₈	—	13	2	no	—
795	C₄⋊C₈	—	13	1	no	—
796	C₄⋊C₈	—	13	1	no	—
797	C₄⋊C₈	—	13	2	no	—
798	C₄⋊C₈	—	13	1	no	—
799	C₄⋊C₈	—	13	2	no	—
800	C₄⋊C₈	—	13	1	no	—
801	C₄⋊C₈	—	13	2	no	—
802	C₄⋊C₈	—	13	1	no	—
803	C₄⋊C₈	—	13	1	no	—
804	C₄⋊C₈	—	13	2	no	—
805	C₄⋊C₈	—	13	2	no	—
806	C₄⋊C₈	—	13	2	no	—
807	C₄⋊C₈	—	13	2	no	—
808	C₄⋊C₈	—	13	2	no	—
809	C₄⋊C₈	—	13	2	no	—
810	C₄⋊C₈	—	13	2	no	—
811	C₄⋊C₈	—	13	2	no	—
812	C₄⋊C₈	—	13	2	no	—
813	C₄⋊C₈	—	13	2	no	—
814	C₄⋊C₈	C₂²×D₁₃	1	1	yes	characteristic
815	C₄⋊C₈	C₂²×D₁₃	1	2	yes	—
816	C₄⋊C₈	C₂²×D₁₃	1	2	yes	—
817	C₄⋊C₈	C₂²×D₁₃	1	1	yes	characteristic
818	C₄⋊C₈	C₂²×D₁₃	1	1	yes	characteristic
819	C₄⋊C₈	C₂²×D₁₃	1	1	yes	characteristic
820	C₄⋊C₈	C₂²×D₁₃	1	2	yes	—
821	C₄⋊C₈	C₂²×D₁₃	1	2	yes	—
822	#97	—	13	1	no	—
823	#97	—	13	1	no	—
824	#97	—	13	2	no	—
825	#97	—	13	1	no	—
826	#97	—	13	2	no	—
827	#97	—	13	1	no	—
828	#97	—	13	2	no	—
829	#97	—	13	2	no	—
830	#97	—	13	1	no	—
831	#97	—	13	1	no	—
832	#97	—	13	2	no	—
833	#97	—	13	1	no	—
834	#97	—	13	1	no	—
835	#97	—	13	2	no	—
836	#97	C₂²×D₁₃	1	2	yes	—
837	#97	C₂²×D₁₃	1	2	yes	—
838	#97	C₂²×D₁₃	1	2	yes	—
839	C₄×C₈	—	13	1	no	—
840	C₄×C₈	—	13	1	no	—
841	C₄×C₈	—	13	2	no	—
842	C₄×C₈	—	13	1	no	—
843	C₄×C₈	—	13	1	no	—
844	C₄×C₈	—	13	2	no	—
845	C₄×C₈	—	13	2	no	—
846	C₄×C₈	—	13	2	no	—
847	C₄×C₈	—	13	2	no	—
848	C₄×C₈	—	13	2	no	—
849	C₄×C₈	C₂²×D₁₃	1	2	yes	—
850	C₄×C₈	C₂²×D₁₃	1	2	yes	—
851	C₄×C₈	C₂²×D₁₃	1	2	yes	—
852	C₂×C₁₃	—	2	2	no	—
853	C₂×C₁₃	C₂²×C₄×Q₈	1	1	yes	characteristic
854	C₂×C₁₃	C₂×#568	1	1	yes	characteristic
855	C₂×C₁₃	#3573	1	1	yes	characteristic
856	D₁₃	—	2	4	no	—
857	#41	—	13	4	no	—
858	#41	—	13	4	no	—
859	C₂×Q₈	—	13	1	no	—
860	C₂×Q₈	—	13	1	no	—
861	C₂×Q₈	—	13	2	no	—
862	C₂×Q₈	—	13	1	no	—
863	C₂×Q₈	—	13	2	no	—
864	C₂×Q₈	—	13	1	no	—
865	C₂×Q₈	—	13	1	no	—
866	C₂×Q₈	—	13	2	no	—
867	C₂×Q₈	—	13	2	no	—
868	C₂×Q₈	—	52	2	no	—
869	C₂×Q₈	—	52	4	no	—
870	C₂×Q₈	C₂×C₄×D₁₃	1	2	yes	—
871	C₂×Q₈	C₂×C₄×D₁₃	1	2	yes	—
872	C₂×D₄	—	13	2	no	—
873	C₂×D₄	—	13	1	no	—
874	C₂²×C₄	—	13	2	no	—
875	C₂²×C₄	—	13	1	no	—
876	C₂²×C₄	—	13	1	no	—
877	C₂²×C₄	—	13	1	no	—
878	C₂²×C₄	—	13	1	no	—
879	C₂²×C₄	—	13	2	no	—
880	C₂²×C₄	—	13	2	no	—
881	C₂²×C₄	—	13	2	no	—
882	C₂²×C₄	—	13	2	no	—
883	C₂²×C₄	—	13	2	no	—
884	C₂²×C₄	—	13	2	no	—
885	C₂²×C₄	C₂×C₄×D₁₃	1	1	yes	characteristic
886	C₂²×C₄	C₂×C₄×D₁₃	1	1	yes	characteristic
887	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
888	M₁₆	—	2	2	no	—
889	M₁₆	—	13	8	no	—
890	M₁₆	—	26	4	no	—
891	M₁₆	—	26	4	no	—
892	M₁₆	—	26	4	no	—
893	M₁₆	—	26	2	no	—
894	M₁₆	—	26	2	no	—
895	M₁₆	Q₈×D₁₃	1	4	yes	complemented
896	C₂×C₈	—	2	2	no	—
897	C₂×C₈	—	2	2	no	—
898	C₂×C₈	—	13	4	no	—
899	C₂×C₈	—	13	1	no	—
900	C₂×C₈	—	13	1	no	—
901	C₂×C₈	—	13	8	no	—
902	C₂×C₈	—	13	2	no	—
903	C₂×C₈	—	13	1	no	—
904	C₂×C₈	—	13	2	no	—
905	C₂×C₈	—	13	1	no	—
906	C₂×C₈	—	26	4	no	—
907	C₂×C₈	—	26	4	no	—
908	C₂×C₈	—	26	4	no	—
909	C₂×C₈	—	26	2	no	—
910	C₂×C₈	C₂³×D₁₃	1	1	yes	characteristic
911	C₂×C₈	C₂³×D₁₃	1	1	yes	characteristic
912	C₂×C₈	C₂³×D₁₃	1	2	yes	—
913	C₂×C₈	C₂³×D₁₃	1	1	yes	characteristic
914	C₂×C₈	C₂³×D₁₃	1	1	yes	characteristic
915	C₂×C₈	C₂³×D₁₃	1	2	yes	—
916	C₄⋊C₄	—	13	1	no	—
917	C₄⋊C₄	—	13	1	no	—
918	C₄⋊C₄	—	13	1	no	—
919	C₄⋊C₄	—	13	2	no	—
920	C₄⋊C₄	—	13	2	no	—
921	C₄⋊C₄	—	13	1	no	—
922	C₄⋊C₄	—	13	1	no	—
923	C₄⋊C₄	—	13	1	no	—
924	C₄⋊C₄	—	13	1	no	—
925	C₄⋊C₄	—	13	2	no	—
926	C₄⋊C₄	—	13	2	no	—
927	C₄⋊C₄	—	13	1	no	—
928	C₄⋊C₄	—	13	1	no	—
929	C₄⋊C₄	—	13	2	no	—
930	C₄⋊C₄	—	13	1	no	—
931	C₄⋊C₄	—	13	2	no	—
932	C₄⋊C₄	—	13	1	no	—
933	C₄⋊C₄	—	13	1	no	—
934	C₄⋊C₄	—	13	2	no	—
935	C₄⋊C₄	—	13	2	no	—
936	C₄⋊C₄	—	13	2	no	—
937	C₄⋊C₄	—	13	2	no	—
938	C₄⋊C₄	—	13	2	no	—
939	C₄⋊C₄	—	13	2	no	—
940	C₄⋊C₄	—	13	1	no	—
941	C₄⋊C₄	—	13	1	no	—
942	C₄⋊C₄	—	13	2	no	—
943	C₄⋊C₄	—	13	2	no	—
944	C₄⋊C₄	—	13	2	no	—
945	C₄⋊C₄	—	13	2	no	—
946	C₄⋊C₄	—	13	2	no	—
947	C₄⋊C₄	—	13	2	no	—
948	C₄⋊C₄	C₂×C₄×D₁₃	1	2	yes	—
949	C₄⋊C₄	C₂×C₄×D₁₃	1	2	yes	—
950	C₄⋊C₄	C₂×C₄×D₁₃	1	2	yes	—
951	C₄⋊C₄	C₂×C₄×D₁₃	1	1	yes	characteristic
952	C₄⋊C₄	C₂×C₄×D₁₃	1	1	yes	characteristic
953	C₄⋊C₄	C₂×C₄×D₁₃	1	1	yes	characteristic
954	C₄⋊C₄	C₂×C₄×D₁₃	1	1	yes	characteristic
955	C₄⋊C₄	C₂×C₄×D₁₃	1	2	yes	—
956	C₄⋊C₄	C₂×C₄×D₁₃	1	2	yes	—
957	C₄⋊C₄	C₂×C₄×D₁₃	1	2	yes	—
958	C₂²⋊C₄	—	13	2	no	—
959	C₂²⋊C₄	—	13	2	no	—
960	C₂²⋊C₄	—	13	2	no	—
961	C₂²⋊C₄	—	13	2	no	—
962	C₂²⋊C₄	—	13	2	no	—
963	C₂²⋊C₄	—	13	2	no	—
964	C₂²⋊C₄	—	13	2	no	—
965	C₂²⋊C₄	C₂×C₄×D₁₃	1	2	yes	—
966	C₂²⋊C₄	C₂×C₄×D₁₃	1	2	yes	—
967	C₄²	—	13	2	no	—
968	C₄²	—	13	2	no	—
969	C₄²	—	13	2	no	—
970	C₄²	—	13	1	no	—
971	C₄²	—	13	1	no	—
972	C₄²	—	13	2	no	—
973	C₄²	—	13	2	no	—
974	C₄²	—	13	2	no	—
975	C₄²	—	13	1	no	—
976	C₄²	—	13	1	no	—
977	C₄²	—	13	1	no	—
978	C₄²	—	13	1	no	—
979	C₄²	—	13	1	no	—
980	C₄²	—	13	2	no	—
981	C₄²	—	13	1	no	—
982	C₄²	C₂×C₄×D₁₃	1	1	yes	characteristic
983	C₄²	C₂×C₄×D₁₃	1	1	yes	characteristic
984	C₄²	C₂³×D₁₃	1	2	yes	—
985	C₄²	C₂³×D₁₃	1	2	yes	—
986	C₄²	C₂³×D₁₃	1	1	yes	characteristic
987	C₄²	C₂³×D₁₃	1	1	yes	characteristic
988	C₁₃	#60195	1	1	yes	characteristic, complemented, Sylow
989	C₂³	—	13	2	no	—
990	C₂³	C₂²×C₄×D₁₃	1	1	yes	characteristic
991	Q₈	—	4	2	no	—
992	Q₈	—	4	2	no	—
993	Q₈	—	13	4	no	—
994	Q₈	—	26	2	no	—
995	Q₈	—	26	4	no	—
996	Q₈	—	26	2	no	—
997	Q₈	—	52	2	no	—
998	Q₈	—	52	2	no	—
999	Q₈	—	52	1	no	—
1000	Q₈	—	52	1	no	—
1001	Q₈	—	52	2	no	—
1002	D₄	—	13	8	no	—
1003	D₄	—	13	4	no	—
1004	C₂×C₄	—	4	1	no	—
1005	C₂×C₄	—	4	1	no	—
1006	C₂×C₄	—	13	2	no	—
1007	C₂×C₄	—	13	1	no	—
1008	C₂×C₄	—	13	4	no	—
1009	C₂×C₄	—	13	4	no	—
1010	C₂×C₄	—	13	1	no	—
1011	C₂×C₄	—	13	1	no	—
1012	C₂×C₄	—	13	1	no	—
1013	C₂×C₄	—	13	1	no	—
1014	C₂×C₄	—	13	2	no	—
1015	C₂×C₄	—	13	1	no	—
1016	C₂×C₄	—	13	2	no	—
1017	C₂×C₄	—	13	1	no	—
1018	C₂×C₄	—	13	1	no	—
1019	C₂×C₄	—	26	4	no	—
1020	C₂×C₄	—	26	2	no	—
1021	C₂×C₄	—	52	2	no	—
1022	C₂×C₄	—	52	2	no	—
1023	C₂×C₄	—	52	2	no	—
1024	C₂×C₄	—	52	2	no	—
1025	C₂×C₄	—	52	2	no	—
1026	C₂×C₄	—	52	1	no	—
1027	C₂×C₄	—	52	1	no	—
1028	C₂×C₄	—	52	1	no	—
1029	C₂×C₄	C₂²×C₄×D₁₃	1	1	yes	characteristic
1030	C₂×C₄	C₂²×C₄×D₁₃	1	1	yes	characteristic
1031	C₂×C₄	C₂²×C₄×D₁₃	1	2	yes	—
1032	C₂×C₄	C₂²×C₄×D₁₃	1	2	yes	—
1033	C₂×C₄	C₂²×C₄×D₁₃	1	2	yes	—
1034	C₂×C₄	C₂²×C₄×D₁₃	1	2	yes	—
1035	C₂×C₄	C₂²×C₄×D₁₃	1	1	yes	characteristic
1036	C₂×C₄	C₂²×C₄×D₁₃	1	1	yes	characteristic
1037	C₂×C₄	C₂²×C₄×D₁₃	1	1	yes	characteristic
1038	C₂×C₄	C₂×Q₈×D₁₃	1	2	yes	—
1039	C₂×C₄	#41×D₁₃	1	2	yes	—
1040	C₂×C₄	C₂⁴×D₁₃	1	1	yes	characteristic
1041	C₈	—	2	1	no	—
1042	C₈	—	2	1	no	—
1043	C₈	—	2	1	no	—
1044	C₈	—	2	1	no	—
1045	C₈	—	2	2	no	—
1046	C₈	—	13	2	no	—
1047	C₈	—	13	2	no	—
1048	C₈	—	26	1	no	—
1049	C₈	—	26	2	no	—
1050	C₈	—	26	2	no	—
1051	C₈	—	26	1	no	—
1052	C₈	C₂×Q₈×D₁₃	1	4	yes	—
1053	C₂²	—	2	1	no	—
1054	C₂²	—	2	1	no	—
1055	C₂²	—	13	4	no	—
1056	C₂²	—	26	2	no	—
1057	C₂²	—	26	2	no	—
1058	C₂²	C₄×Q₈×D₁₃	1	2	yes	—
1059	C₂²	C₂³×C₄×D₁₃	1	1	yes	characteristic
1060	C₄	—	2	1	no	—
1061	C₄	—	2	1	no	—
1062	C₄	—	2	2	no	—
1063	C₄	—	2	2	no	—
1064	C₄	—	2	1	no	—
1065	C₄	—	2	1	no	—
1066	C₄	—	2	2	no	—
1067	C₄	—	2	2	no	—
1068	C₄	—	13	2	no	—
1069	C₄	—	13	4	no	—
1070	C₄	—	26	1	no	—
1071	C₄	—	26	1	no	—
1072	C₄	—	26	2	no	—
1073	C₄	—	26	1	no	—
1074	C₄	—	26	1	no	—
1075	C₄	—	26	1	no	—
1076	C₄	—	26	2	no	—
1077	C₄	—	26	1	no	—
1078	C₄	—	26	1	no	—
1079	C₄	C₄×Q₈×D₁₃	1	2	yes	—
1080	C₄	C₂²×Q₈×D₁₃	1	1	yes	characteristic
1081	C₄	C₂×#41×D₁₃	1	1	yes	characteristic
1082	C₂	—	2	2	no	—
1083	C₂	—	26	4	no	—
1084	C₂	C₂×C₄×Q₈×D₁₃	1	1	yes	characteristic
1085	C₂	D₁₃×#568	1	1	yes	characteristic
1086	C₂	#13129547	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	C₂×#6127	C₂³
cosocle	C₂×C₄×C₁₃	C₂⁵
hypercenter	#2962	D₁₃
hypocenter	C₁₃	#60195
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. M₁₆×Dic₂₆	C₂	semidirect
3. #13123788	C₂	semidirect
4. #13123781	C₂	semidirect
5. #13123781	C₂	semidirect
6. #13123780	C₂	semidirect
7. #13123780	C₂	semidirect
8. #13123778	C₂	semidirect
9. #13123777	C₂	semidirect
10. #13123775	C₂	semidirect
11. #13123772	C₂	semidirect
12. #13123772	C₂	semidirect
13. #13123769	C₂	semidirect
14. #13123765	C₂	semidirect
15. C₂×#11718489	C₂	semidirect
16. D₁₃×#446	C₂	semidirect
23. C₁₃×#2962	C₂	semidirect
173. #88161	Q₈	semidirect
347. C₁₃×M₁₆	C₂×Q₈	semidirect
431. C₂×#1055	C₂×Q₈	semidirect
441. #6094	C₂×Q₈	semidirect
445. C₈×D₁₃	C₂×Q₈	semidirect
454. #2962	D₁₃	semidirect
895. M₁₆	Q₈×D₁₃	semidirect
988. C₁₃	#60195	semidirect

Maximal subgroups

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

subgroup	index
#13128414	2
M₁₆×Dic₂₆	2
#13123788	2
#13123781	2
#13123780	2
#13123778	2
#13123777	2
#13123775	2
#13123772	2
#13123769	2
#13123765	2
C₂×#11718489	2
D₁₃×#446	2
#13123403	2
#13123401	2
#13123265	2
#13123263	2
#13123258	2
C₁₃×#2962	2
#60195	13