Subgroups — #16727951

Order 3328.

1658 conjugacy classes of subgroups.

The subgroup lattice has 1064 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	#13123939	C₂	1	2	yes	maximal, complemented
3	#13123939	C₂	1	2	yes	maximal, complemented
4	#13123934	C₂	1	2	yes	maximal, complemented
5	#13123932	C₂	1	2	yes	maximal, complemented
6	#13123929	C₂	1	2	yes	maximal, complemented
7	#13123929	C₂	1	2	yes	maximal, complemented
8	#13123922	C₂	1	2	yes	maximal, complemented
9	#13123918	C₂	1	2	yes	maximal, complemented
10	#13123787	C₂	1	1	yes	maximal, characteristic, complemented
11	#13123785	C₂	1	1	yes	maximal, characteristic, complemented
12	#13123780	C₂	1	1	yes	maximal, characteristic, complemented
13	#13123780	C₂	1	1	yes	maximal, characteristic, complemented
14	#13123775	C₂	1	1	yes	maximal, characteristic, complemented
15	#13123769	C₂	1	1	yes	maximal, characteristic, complemented
16	C₂×#11718362	C₂	1	1	yes	maximal, characteristic, complemented
17	#13123504	C₂	1	1	yes	maximal, characteristic
18	#13123500	C₂	1	1	yes	maximal, characteristic
19	#13123500	C₂	1	1	yes	maximal, characteristic
20	#13123486	C₂	1	1	yes	maximal, characteristic
21	#13123485	C₂	1	1	yes	maximal, characteristic
22	#13123479	C₂	1	1	yes	maximal, characteristic
23	C₁₃×#2961	C₂	1	1	yes	maximal, characteristic, complemented
24	C₁₃×#533	C₂²	1	1	yes	characteristic
25	#11719435	C₄	1	1	yes	characteristic
26	#11719432	C₄	1	1	yes	characteristic
27	#11719427	C₄	1	1	yes	characteristic
28	#11719426	C₄	1	1	yes	characteristic
29	#11719395	C₄	1	1	yes	characteristic
30	#11719395	C₄	1	1	yes	characteristic
31	#11719390	C₄	1	1	yes	characteristic
32	#11719390	C₄	1	1	yes	characteristic
33	#11719341	C₄	1	2	yes	—
34	#11719341	C₄	1	2	yes	—
35	#11719340	C₄	1	2	yes	—
36	#11719337	C₄	1	2	yes	—
37	#11719283	C₂²	1	2	yes	—
38	#11719283	C₂²	1	2	yes	—
39	#11719283	C₂²	1	2	yes	—
40	C₄×Q₈×D₁₃	C₂²	1	2	yes	—
41	#11719227	C₂²	1	1	yes	characteristic
42	#11719227	C₂²	1	1	yes	characteristic
43	#11719222	C₂²	1	1	yes	characteristic
44	#11719222	C₂²	1	1	yes	characteristic
45	C₄×#6127	C₂²	1	1	yes	characteristic
46	C₂×C₄×Dic₂₆	C₂²	1	1	yes	characteristic
47	C₁₃×#446	C₂²	1	2	yes	—
48	C₁₃×#446	C₂²	1	2	yes	—
49	C₁₃×#446	C₂²	1	2	yes	—
50	C₁₃×#446	C₂²	1	2	yes	—
51	C₁₃×#424	C₂²	1	1	yes	characteristic
52	C₁₃×#424	C₂²	1	1	yes	characteristic
53	C₁₃×#423	C₂²	1	1	yes	characteristic
54	C₁₃×#405	C₂²	1	1	yes	characteristic
55	C₁₃×#405	C₂²	1	1	yes	characteristic
56	C₂×C₁₃×#97	C₂²	1	1	yes	characteristic
57	#11718790	C₂²	1	1	yes	characteristic
58	#11718790	C₂²	1	1	yes	characteristic
59	#11718783	C₂²	1	1	yes	characteristic
60	#11718783	C₂²	1	1	yes	characteristic
61	#11718779	C₂²	1	1	yes	characteristic
62	#11718779	C₂²	1	1	yes	characteristic
63	M₁₆×Dic₁₃	C₂²	1	1	yes	characteristic
64	M₁₆×Dic₁₃	C₂²	1	1	yes	characteristic
65	#11718771	C₂²	1	1	yes	characteristic
66	#11718771	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	Q₈×#1055	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	C₂×C₄⋊#1055	C₂²	1	1	yes	characteristic
82	C₄×#6099	C₂²	1	1	yes	characteristic
83	#11718501	C₂²	1	2	yes	—
84	#11718501	C₂²	1	2	yes	—
85	#11718501	C₂²	1	2	yes	—
86	#11718501	C₂²	1	2	yes	—
87	#11718501	C₂²	1	2	yes	—
88	#11718501	C₂²	1	2	yes	—
89	#11718496	C₂²	1	2	yes	—
90	#11718496	C₂²	1	2	yes	—
91	#11718496	C₂²	1	2	yes	—
92	#11718494	C₂²	1	2	yes	—
93	#11718494	C₂²	1	2	yes	—
94	#11718494	C₂²	1	2	yes	—
95	#11718492	C₂²	1	2	yes	—
96	#11718492	C₂²	1	2	yes	—
97	#11718492	C₂²	1	2	yes	—
98	#11718491	C₂²	1	2	yes	—
99	#11718491	C₂²	1	2	yes	—
100	#11718491	C₂²	1	2	yes	—
101	#11718489	C₂²	1	2	yes	—
102	#11718489	C₂²	1	2	yes	—
103	#11718489	C₂²	1	2	yes	—
104	#11718489	C₂²	1	2	yes	—
105	#11718489	C₂²	1	2	yes	—
106	#11718489	C₂²	1	2	yes	—
107	#11718370	C₂²	1	2	yes	—
108	#11718370	C₂²	1	2	yes	—
109	#11718370	C₂²	1	2	yes	—
110	#11718370	C₂²	1	2	yes	—
111	#11718366	C₂²	1	2	yes	—
112	#11718366	C₂²	1	2	yes	—
113	#11718366	C₂²	1	2	yes	—
114	#11718366	C₂²	1	2	yes	—
115	#11718362	C₂²	1	1	yes	characteristic
116	#11718362	C₂²	1	2	yes	—
117	#11718362	C₂²	1	1	yes	characteristic
118	#11718362	C₂²	1	2	yes	—
119	#11718362	C₂²	1	1	yes	characteristic
120	#11718362	C₂²	1	1	yes	characteristic
121	#11718362	C₂²	1	2	yes	—
122	#11718362	C₂²	1	2	yes	—
123	#11718362	C₂²	1	1	yes	characteristic
124	#11718362	C₂²	1	1	yes	characteristic
125	#11718362	C₂²	1	1	yes	characteristic
126	#11718362	C₂²	1	1	yes	characteristic
127	#11718351	C₂²	1	2	yes	—
128	#11718351	C₂²	1	2	yes	—
129	#11718346	C₂²	1	2	yes	—
130	#11718346	C₂²	1	2	yes	—
131	#11718340	C₂²	1	2	yes	—
132	#11718340	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	#88151	C₂×C₄	1	2	yes	—
173	#88151	C₂×C₄	1	2	yes	—
174	#88151	C₂×C₄	1	2	yes	—
175	#88150	C₂×C₄	1	2	yes	—
176	#88150	C₂×C₄	1	2	yes	—
177	#88150	C₂×C₄	1	2	yes	—
178	#88150	C₂×C₄	1	2	yes	—
179	#88150	C₂×C₄	1	2	yes	—
180	#88150	C₂×C₄	1	2	yes	—
181	#88147	C₂×C₄	1	1	yes	characteristic
182	#88147	C₂×C₄	1	1	yes	characteristic
183	#88147	C₂×C₄	1	1	yes	characteristic
184	#88147	C₂×C₄	1	1	yes	characteristic
185	C₄⋊C₄×D₁₃	C₂×C₄	1	2	yes	—
186	C₄⋊C₄×D₁₃	C₂×C₄	1	2	yes	—
187	C₄⋊C₄×D₁₃	C₂×C₄	1	2	yes	—
188	#88144	C₂×C₄	1	1	yes	characteristic
189	#88144	C₂×C₄	1	1	yes	characteristic
190	#88144	C₂×C₄	1	1	yes	characteristic
191	#88144	C₂×C₄	1	1	yes	characteristic
192	#88143	C₂×C₄	1	2	yes	—
193	#88143	C₂×C₄	1	2	yes	—
194	#88143	C₂×C₄	1	2	yes	—
195	#88143	C₂×C₄	1	2	yes	—
196	#88143	C₂×C₄	1	2	yes	—
197	#88143	C₂×C₄	1	2	yes	—
198	#88142	C₂×C₄	1	1	yes	characteristic
199	#88142	C₂×C₄	1	1	yes	characteristic
200	#88142	C₂×C₄	1	2	yes	—
201	#88142	C₂×C₄	1	1	yes	characteristic
202	#88142	C₂×C₄	1	1	yes	characteristic
203	#88142	C₂×C₄	1	2	yes	—
204	#88142	C₂×C₄	1	2	yes	—
205	#88141	C₂×C₄	1	1	yes	characteristic
206	#88141	C₂×C₄	1	1	yes	characteristic
207	#88141	C₂×C₄	1	1	yes	characteristic
208	#88141	C₂×C₄	1	1	yes	characteristic
209	#88141	C₂×C₄	1	2	yes	—
210	#88141	C₂×C₄	1	2	yes	—
211	#88141	C₂×C₄	1	2	yes	—
212	#88135	C₂×C₄	1	2	yes	—
213	#88135	C₂×C₄	1	2	yes	—
214	#88135	C₂×C₄	1	2	yes	—
215	#88135	C₂×C₄	1	2	yes	—
216	#88132	C₂×C₄	1	2	yes	—
217	#88132	C₂×C₄	1	2	yes	—
218	#88132	C₂×C₄	1	2	yes	—
219	#88132	C₂×C₄	1	2	yes	—
220	C₄×D₅₂	C₂×C₄	1	1	yes	characteristic
221	C₄×D₅₂	C₂×C₄	1	1	yes	characteristic
222	#88126	C₂³	1	2	yes	—
223	#88126	C₂³	1	2	yes	—
224	#88126	C₂³	1	2	yes	—
225	C₄²×D₁₃	C₂³	1	2	yes	—
226	C₄²×D₁₃	C₂³	1	2	yes	—
227	C₄²×D₁₃	C₂³	1	2	yes	—
228	C₄×Dic₂₆	C₂×C₄	1	1	yes	characteristic
229	C₄×Dic₂₆	C₂×C₄	1	1	yes	characteristic
230	C₄×Dic₂₆	C₂×C₄	1	1	yes	characteristic
231	C₄×Dic₂₆	C₂×C₄	1	1	yes	characteristic
232	C₄×Dic₂₆	C₂×C₄	1	1	yes	characteristic
233	C₄×Dic₂₆	C₂×C₄	1	1	yes	characteristic
234	C₄×Dic₂₆	C₂³	1	1	yes	characteristic
235	C₄×Dic₂₆	C₂³	1	1	yes	characteristic
236	C₄×Dic₂₆	C₂³	1	1	yes	characteristic
237	C₄×Dic₂₆	C₂³	1	1	yes	characteristic
238	C₄×Dic₂₆	C₂³	1	2	yes	—
239	C₄×Dic₂₆	C₂³	1	2	yes	—
240	C₄×Dic₂₆	C₂³	1	2	yes	—
241	C₄×Dic₂₆	C₂³	1	2	yes	—
242	C₁₃×C₄⋊C₈	C₂³	1	2	yes	—
243	C₁₃×C₄⋊C₈	C₂³	1	2	yes	—
244	C₁₃×C₄⋊C₈	C₂³	1	2	yes	—
245	C₁₃×C₄⋊C₈	C₂³	1	2	yes	—
246	C₁₃×C₄⋊C₈	C₂³	1	2	yes	—
247	C₁₃×C₄⋊C₈	C₂³	1	2	yes	—
248	C₁₃×#97	C₂³	1	1	yes	characteristic
249	C₁₃×#97	C₂³	1	1	yes	characteristic
250	C₁₃×#97	C₂³	1	1	yes	characteristic
251	C₁₃×#97	C₂³	1	1	yes	characteristic
252	C₁₃×#97	C₂³	1	2	yes	—
253	C₁₃×#97	C₂³	1	2	yes	—
254	C₄×C₈×C₁₃	C₂³	1	2	yes	—
255	C₄×C₈×C₁₃	C₂³	1	2	yes	—
256	#88060	C₂³	1	2	yes	—
257	#88060	C₂³	1	2	yes	—
258	#88060	C₂³	1	2	yes	—
259	#88060	C₂³	1	2	yes	—
260	#88060	C₂³	1	2	yes	—
261	#88060	C₂³	1	2	yes	—
262	#88060	C₂³	1	2	yes	—
263	#88060	C₂³	1	2	yes	—
264	#88055	C₂³	1	1	yes	characteristic
265	#88055	C₂³	1	2	yes	—
266	#88055	C₂³	1	1	yes	characteristic
267	#88055	C₂³	1	2	yes	—
268	#88055	C₂³	1	2	yes	—
269	#88055	C₂³	1	1	yes	characteristic
270	#88055	C₂³	1	2	yes	—
271	#88055	C₂³	1	1	yes	characteristic
272	#88054	C₂³	1	2	yes	—
273	#88054	C₂³	1	2	yes	—
274	#88054	C₂³	1	2	yes	—
275	#88054	C₂³	1	2	yes	—
276	#88054	C₂³	1	2	yes	—
277	#88054	C₂³	1	2	yes	—
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	1	yes	characteristic
285	#88054	C₂³	1	1	yes	characteristic
286	#88054	C₂³	1	2	yes	—
287	#88054	C₂³	1	2	yes	—
288	C₈×Dic₁₃	C₂³	1	1	yes	characteristic
289	C₈×Dic₁₃	C₂³	1	2	yes	—
290	C₈×Dic₁₃	C₂³	1	1	yes	characteristic
291	C₈×Dic₁₃	C₂³	1	2	yes	—
292	C₈×Dic₁₃	C₂³	1	2	yes	—
293	C₈×Dic₁₃	C₂³	1	1	yes	characteristic
294	C₈×Dic₁₃	C₂³	1	2	yes	—
295	C₈×Dic₁₃	C₂³	1	1	yes	characteristic
296	C₄⋊#1055	C₂³	1	2	yes	—
297	C₄⋊#1055	C₂³	1	2	yes	—
298	C₄⋊#1055	C₂³	1	2	yes	—
299	C₄⋊#1055	C₂³	1	2	yes	—
300	C₄⋊#1055	C₂³	1	1	yes	characteristic
301	C₄⋊#1055	C₂³	1	1	yes	characteristic
302	C₄⋊#1055	C₂³	1	1	yes	characteristic
303	C₄⋊#1055	C₂³	1	1	yes	characteristic
304	#88043	C₂³	1	2	yes	—
305	#88043	C₂³	1	2	yes	—
306	#88043	C₂³	1	2	yes	—
307	C₄×#1055	C₂³	1	2	yes	—
308	C₄×#1055	C₂³	1	2	yes	—
309	C₄×#1055	C₂³	1	2	yes	—
310	#60254	—	13	1	no	maximal, Sylow
311	C₂×Q₈×C₁₃	C₂²×C₄	1	2	yes	—
312	C₂×Q₈×C₁₃	C₂²×C₄	1	2	yes	—
313	C₂²×C₄×C₁₃	C₂²×C₄	1	1	yes	characteristic
314	C₂²×C₄×C₁₃	C₂²×C₄	1	1	yes	characteristic
315	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
316	C₂×C₂²⋊D₁₃	C₂²×C₄	1	2	yes	—
317	C₂²×Dic₁₃	C₂²×C₄	1	1	yes	characteristic
318	C₂²×Dic₁₃	C₂²×C₄	1	1	yes	characteristic
319	C₂²×Dic₁₃	C₂²×C₄	1	1	yes	characteristic
320	C₂²×Dic₁₃	C₂²×C₄	1	1	yes	characteristic
321	Q₈×D₁₃	—	4	4	no	—
322	#6127	—	2	2	no	—
323	#6127	—	2	2	no	—
324	C₂×D₅₂	C₂²×C₄	1	1	yes	characteristic
325	C₂×C₄×D₁₃	C₂²×C₄	1	2	yes	—
326	C₂×C₄×D₁₃	C₂²×C₄	1	2	yes	—
327	C₂×C₄×D₁₃	C₂²×C₄	1	2	yes	—
328	C₂×C₄×D₁₃	C₂²×C₄	1	2	yes	—
329	C₂×C₄×D₁₃	C₂²×C₄	1	2	yes	—
330	C₂×C₄×D₁₃	C₂²×C₄	1	2	yes	—
331	C₂×C₄×D₁₃	C₂⁴	1	2	yes	—
332	C₂×Dic₂₆	—	4	2	no	—
333	C₂×Dic₂₆	C₂²×C₄	1	1	yes	characteristic
334	C₂×Dic₂₆	C₂²×C₄	1	1	yes	characteristic
335	C₂×Dic₂₆	C₂²×C₄	1	1	yes	characteristic
336	C₂×Dic₂₆	C₂²×C₄	1	2	yes	—
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	2	yes	—
341	C₂×Dic₂₆	C₂²×C₄	1	2	yes	—
342	C₁₃×M₁₆	—	2	2	no	—
343	C₁₃×M₁₆	—	2	2	no	—
344	C₂×C₈×C₁₃	—	2	2	no	—
345	C₂×C₈×C₁₃	—	2	2	no	—
346	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
347	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
348	C₂×C₈×C₁₃	C₂⁴	1	2	yes	—
349	C₂×C₈×C₁₃	C₂⁴	1	2	yes	—
350	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
351	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
352	C₁₃×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
353	C₁₃×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
354	C₁₃×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
355	C₁₃×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
356	C₁₃×C₄⋊C₄	C₂²×C₄	1	2	yes	—
357	C₁₃×C₄⋊C₄	C₂²×C₄	1	2	yes	—
358	C₁₃×C₄⋊C₄	C₂²×C₄	1	2	yes	—
359	C₁₃×C₄⋊C₄	C₂²×C₄	1	2	yes	—
360	C₁₃×C₄⋊C₄	C₂²×C₄	1	2	yes	—
361	C₁₃×C₄⋊C₄	C₂²×C₄	1	2	yes	—
362	C₁₃×C₂²⋊C₄	C₂²×C₄	1	2	yes	—
363	C₁₃×C₂²⋊C₄	C₂²×C₄	1	2	yes	—
364	C₄²×C₁₃	C₂²×C₄	1	1	yes	characteristic
365	C₄²×C₁₃	C₂²×C₄	1	1	yes	characteristic
366	C₄²×C₁₃	C₂⁴	1	2	yes	—
367	C₄²×C₁₃	C₂⁴	1	2	yes	—
368	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
369	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
370	C₂²⋊Dic₁₃	C₂²×C₄	1	2	yes	—
371	#6103	C₂²×C₄	1	2	yes	—
372	#6103	C₂²×C₄	1	2	yes	—
373	#6103	C₂²×C₄	1	2	yes	—
374	#6103	C₂²×C₄	1	2	yes	—
375	#6103	C₂²×C₄	1	2	yes	—
376	#6103	C₂²×C₄	1	2	yes	—
377	C₄⋊Dic₁₃	C₂²×C₄	1	1	yes	characteristic
378	C₄⋊Dic₁₃	C₂²×C₄	1	1	yes	characteristic
379	C₄⋊Dic₁₃	C₂²×C₄	1	1	yes	characteristic
380	C₄⋊Dic₁₃	C₂²×C₄	1	1	yes	characteristic
381	C₄⋊Dic₁₃	C₂²×C₄	1	1	yes	characteristic
382	C₄⋊Dic₁₃	C₂²×C₄	1	1	yes	characteristic
383	C₄⋊Dic₁₃	C₂²×C₄	1	2	yes	—
384	C₄⋊Dic₁₃	C₂²×C₄	1	2	yes	—
385	C₄⋊Dic₁₃	C₂²×C₄	1	2	yes	—
386	C₄⋊Dic₁₃	C₂²×C₄	1	2	yes	—
387	#6101	C₂²×C₄	1	1	yes	characteristic
388	#6101	C₂²×C₄	1	1	yes	characteristic
389	#6101	C₂²×C₄	1	1	yes	characteristic
390	#6101	C₂²×C₄	1	1	yes	characteristic
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	2	yes	—
396	#6101	C₂²×C₄	1	2	yes	—
397	#6101	C₂²×C₄	1	2	yes	—
398	#6101	C₂²×C₄	1	2	yes	—
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	C₄×Dic₁₃	C₂²×C₄	1	1	yes	characteristic
410	C₄×Dic₁₃	C₂²×C₄	1	1	yes	characteristic
411	C₄×Dic₁₃	C₂²×C₄	1	1	yes	characteristic
412	C₄×Dic₁₃	C₂²×C₄	1	1	yes	characteristic
413	C₄×Dic₁₃	C₂²×C₄	1	2	yes	—
414	C₄×Dic₁₃	C₂²×C₄	1	2	yes	—
415	C₄×Dic₁₃	C₂²×C₄	1	2	yes	—
416	C₄×Dic₁₃	C₂²×C₄	1	2	yes	—
417	C₄×Dic₁₃	C₂²×C₄	1	2	yes	—
418	C₄×Dic₁₃	C₂²×C₄	1	2	yes	—
419	C₄×Dic₁₃	C₂⁴	1	1	yes	characteristic
420	C₄×Dic₁₃	C₂⁴	1	1	yes	characteristic
421	C₄×Dic₁₃	C₂⁴	1	2	yes	—
422	C₄×Dic₁₃	C₂⁴	1	1	yes	characteristic
423	C₄×Dic₁₃	C₂⁴	1	1	yes	characteristic
424	#6099	—	2	2	no	—
425	#6099	—	2	2	no	—
426	C₂×#1055	—	2	2	no	—
427	C₂×#1055	—	2	2	no	—
428	C₂×#1055	C₂⁴	1	1	yes	characteristic
429	C₂×#1055	C₂⁴	1	1	yes	characteristic
430	C₂×#1055	C₂⁴	1	1	yes	characteristic
431	C₂×#1055	C₂⁴	1	1	yes	characteristic
432	C₂×#1055	C₂⁴	1	2	yes	—
433	C₂×#1055	C₂⁴	1	2	yes	—
434	Q₈×#41	—	13	1	no	—
435	#2987	—	13	2	no	—
436	#2987	—	13	2	no	—
437	#2986	—	13	2	no	—
438	#2985	—	13	2	no	—
439	#2985	—	13	2	no	—
440	#2985	—	13	2	no	—
441	#2984	—	13	2	no	—
442	#2983	—	13	2	no	—
443	Q₈×M₁₆	—	13	1	no	—
444	#2962	—	13	1	no	—
445	#2962	—	13	1	no	—
446	#2962	—	13	1	no	—
447	#2961	—	13	1	no	—
448	#2961	D₁₃	1	1	yes	characteristic, complemented
449	#2960	—	13	1	no	—
450	C₂×#446	—	13	1	no	—
451	#2925	—	13	1	no	—
452	#2925	—	13	1	no	—
453	#2925	—	13	1	no	—
454	#2923	—	13	1	no	—
455	#2923	—	13	1	no	—
456	#2922	—	13	1	no	—
457	C₂³×C₁₃	C₂³×C₄	1	1	yes	characteristic
458	C₂²×D₁₃	C₂³×C₄	1	2	yes	—
459	Q₈×C₁₃	—	4	2	no	—
460	Q₈×C₁₃	—	4	2	no	—
461	C₂×C₄×C₁₃	—	4	1	no	—
462	C₂×C₄×C₁₃	—	4	1	no	—
463	C₂×C₄×C₁₃	C₂³×C₄	1	1	yes	characteristic
464	C₂×C₄×C₁₃	C₂³×C₄	1	1	yes	characteristic
465	C₂×C₄×C₁₃	C₂³×C₄	1	2	yes	—
466	C₂×C₄×C₁₃	C₂³×C₄	1	2	yes	—
467	C₂×C₄×C₁₃	C₂³×C₄	1	2	yes	—
468	C₂×C₄×C₁₃	C₂³×C₄	1	2	yes	—
469	C₂×C₄×C₁₃	C₂³×C₄	1	1	yes	characteristic
470	C₂×C₄×C₁₃	C₂³×C₄	1	1	yes	characteristic
471	C₂×C₄×C₁₃	C₂³×C₄	1	1	yes	characteristic
472	C₂×C₄×C₁₃	2₋¹⁺⁴	1	2	yes	—
473	C₂×C₄×C₁₃	2₋¹⁺⁴	1	2	yes	—
474	C₂×C₄×C₁₃	C₂⁵	1	1	yes	characteristic
475	C₂²⋊D₁₃	—	2	4	no	—
476	C₂×Dic₁₃	—	2	2	no	—
477	C₂×Dic₁₃	—	4	1	no	—
478	C₂×Dic₁₃	—	4	1	no	—
479	C₂×Dic₁₃	—	4	1	no	—
480	C₂×Dic₁₃	C₂³×C₄	1	2	yes	—
481	C₂×Dic₁₃	C₂³×C₄	1	1	yes	characteristic
482	C₂×Dic₁₃	C₂³×C₄	1	1	yes	characteristic
483	C₂×Dic₁₃	C₂³×C₄	1	1	yes	characteristic
484	C₂×Dic₁₃	C₂³×C₄	1	1	yes	characteristic
485	C₂×Dic₁₃	C₂³×C₄	1	1	yes	characteristic
486	C₂×Dic₁₃	C₂³×C₄	1	1	yes	characteristic
487	C₂×Dic₁₃	C₂³×C₄	1	1	yes	characteristic
488	C₂×Dic₁₃	C₂³×C₄	1	2	yes	—
489	C₂×Dic₁₃	C₂³×C₄	1	2	yes	—
490	C₂×Dic₁₃	C₂³×C₄	1	1	yes	characteristic
491	D₅₂	—	2	2	no	—
492	C₄×D₁₃	—	2	2	no	—
493	C₄×D₁₃	—	2	2	no	—
494	C₄×D₁₃	—	2	4	no	—
495	C₄×D₁₃	—	4	2	no	—
496	C₄×D₁₃	—	4	2	no	—
497	C₄×D₁₃	—	4	2	no	—
498	C₄×D₁₃	—	4	2	no	—
499	C₄×D₁₃	—	4	2	no	—
500	Dic₂₆	—	2	2	no	—
501	Dic₂₆	—	2	2	no	—
502	Dic₂₆	—	2	2	no	—
503	Dic₂₆	—	2	4	no	—
504	Dic₂₆	—	4	1	no	—
505	Dic₂₆	—	4	1	no	—
506	Dic₂₆	—	4	2	no	—
507	Dic₂₆	—	4	2	no	—
508	Dic₂₆	—	4	2	no	—
509	C₈×C₁₃	—	2	1	no	—
510	C₈×C₁₃	—	2	1	no	—
511	C₈×C₁₃	—	2	1	no	—
512	C₈×C₁₃	—	2	1	no	—
513	C₈×C₁₃	—	2	2	no	—
514	C₈×C₁₃	—	2	2	no	—
515	#1055	—	2	1	no	—
516	#1055	—	2	1	no	—
517	#1055	—	2	1	no	—
518	#1055	—	2	1	no	—
519	#1055	—	2	2	no	—
520	#1055	—	2	2	no	—
521	Q₈²	—	13	1	no	—
522	#557	—	13	1	no	—
523	#557	—	13	1	no	—
524	#557	—	13	1	no	—
525	#554	—	13	1	no	—
526	#554	—	13	1	no	—
527	#554	—	13	1	no	—
528	#554	—	13	2	no	—
529	#554	—	13	2	no	—
530	#554	—	13	2	no	—
531	D₄×Q₈	—	13	1	no	—
532	D₄×Q₈	—	13	2	no	—
533	#533	—	13	2	no	—
534	#533	—	13	2	no	—
535	#533	—	13	2	no	—
536	#533	—	13	1	no	—
537	#533	—	13	1	no	—
538	#533	C₂×D₁₃	1	1	yes	characteristic
539	C₄×#41	—	13	1	no	—
540	C₄×#41	—	13	1	no	—
541	C₄×#41	—	13	1	no	—
542	C₂×C₄×Q₈	—	13	2	no	—
543	C₂×C₄×Q₈	—	13	1	no	—
544	#446	—	13	2	no	—
545	#446	—	13	2	no	—
546	#446	—	13	2	no	—
547	#446	—	13	2	no	—
548	#446	—	13	2	no	—
549	#446	—	13	2	no	—
550	#446	—	13	2	no	—
551	#446	—	13	2	no	—
552	#446	—	13	2	no	—
553	#446	—	13	2	no	—
554	#446	—	13	2	no	—
555	#446	—	13	2	no	—
556	#446	—	13	1	no	—
557	#446	—	13	1	no	—
558	#446	—	13	1	no	—
559	#446	—	13	1	no	—
560	#446	—	13	1	no	—
561	#446	—	13	1	no	—
562	#446	—	13	1	no	—
563	#446	—	13	1	no	—
564	#446	—	13	2	no	—
565	#446	—	13	2	no	—
566	#446	—	13	2	no	—
567	#446	—	13	2	no	—
568	#446	—	13	2	no	—
569	#446	—	13	2	no	—
570	#446	C₂×D₁₃	1	2	yes	—
571	#446	C₂×D₁₃	1	2	yes	—
572	#446	C₂×D₁₃	1	2	yes	—
573	#446	C₂×D₁₃	1	2	yes	—
574	C₈×Q₈	—	13	2	no	—
575	C₈×Q₈	—	13	2	no	—
576	C₈×Q₈	—	13	2	no	—
577	C₈×Q₈	—	13	2	no	—
578	C₈×Q₈	—	13	2	no	—
579	C₈×Q₈	—	13	2	no	—
580	#433	—	13	2	no	—
581	#433	—	13	2	no	—
582	#433	—	13	2	no	—
583	#433	—	13	2	no	—
584	#433	—	13	2	no	—
585	#433	—	13	2	no	—
586	#433	—	13	2	no	—
587	#433	—	13	2	no	—
588	#433	—	13	2	no	—
589	#433	—	13	2	no	—
590	#433	—	13	2	no	—
591	#433	—	13	2	no	—
592	#432	—	13	2	no	—
593	#432	—	13	2	no	—
594	#432	—	13	2	no	—
595	#432	—	13	2	no	—
596	#432	—	13	2	no	—
597	#432	—	13	2	no	—
598	#432	—	13	2	no	—
599	#431	—	13	2	no	—
600	#431	—	13	2	no	—
601	#431	—	13	2	no	—
602	#431	—	13	2	no	—
603	#431	—	13	2	no	—
604	#424	—	13	1	no	—
605	#424	—	13	1	no	—
606	#424	—	13	1	no	—
607	#424	—	13	1	no	—
608	#424	C₂×D₁₃	1	1	yes	characteristic
609	#424	C₂×D₁₃	1	1	yes	characteristic
610	#423	—	13	1	no	—
611	#423	—	13	1	no	—
612	#423	C₂×D₁₃	1	1	yes	characteristic
613	C₂×C₄⋊C₈	—	13	1	no	—
614	C₂×C₄⋊C₈	—	13	1	no	—
615	C₂×C₄⋊C₈	—	13	1	no	—
616	#408	—	13	1	no	—
617	#408	—	13	1	no	—
618	#408	—	13	1	no	—
619	#408	—	13	1	no	—
620	#405	—	13	1	no	—
621	#405	—	13	1	no	—
622	#405	—	13	1	no	—
623	#405	—	13	1	no	—
624	#405	C₂×D₁₃	1	1	yes	characteristic
625	#405	C₂×D₁₃	1	1	yes	characteristic
626	C₄×M₁₆	—	13	1	no	—
627	C₄×M₁₆	—	13	1	no	—
628	C₄×M₁₆	—	13	1	no	—
629	C₂×#97	—	13	1	no	—
630	C₂×#97	C₂×D₁₃	1	1	yes	characteristic
631	C₂×C₄×C₈	—	13	1	no	—
632	C₂²×C₁₃	—	2	1	no	—
633	C₂²×C₁₃	—	2	1	no	—
634	C₂²×C₁₃	#519	1	2	yes	—
635	C₂²×C₁₃	C₂⁴×C₄	1	1	yes	characteristic
636	C₂×D₁₃	—	2	2	no	—
637	C₂×D₁₃	—	2	2	no	—
638	C₂×D₁₃	—	2	2	no	—
639	C₄×C₁₃	—	2	1	no	—
640	C₄×C₁₃	—	2	1	no	—
641	C₄×C₁₃	—	2	2	no	—
642	C₄×C₁₃	—	2	2	no	—
643	C₄×C₁₃	—	2	2	no	—
644	C₄×C₁₃	—	2	2	no	—
645	C₄×C₁₃	—	2	1	no	—
646	C₄×C₁₃	—	2	1	no	—
647	C₄×C₁₃	#519	1	2	yes	—
648	C₄×C₁₃	C₂×2₋¹⁺⁴	1	1	yes	characteristic
649	C₄×C₁₃	C₂×2₋¹⁺⁴	1	1	yes	characteristic
650	Dic₁₃	—	2	2	no	—
651	Dic₁₃	—	2	1	no	—
652	Dic₁₃	—	2	2	no	—
653	Dic₁₃	—	2	1	no	—
654	Dic₁₃	—	2	1	no	—
655	Dic₁₃	—	2	2	no	—
656	Dic₁₃	—	2	1	no	—
657	Dic₁₃	—	2	1	no	—
658	Dic₁₃	—	2	1	no	—
659	Dic₁₃	—	2	1	no	—
660	Dic₁₃	#568	1	2	yes	—
661	C₂×#41	—	13	1	no	—
662	C₂²×Q₈	—	13	2	no	—
663	C₂²×Q₈	—	13	1	no	—
664	C₂×M₁₆	—	13	1	no	—
665	C₂×M₁₆	—	13	1	no	—
666	C₂×M₁₆	C₂²×D₁₃	1	1	yes	characteristic
667	C₂×M₁₆	C₂²×D₁₃	1	1	yes	characteristic
668	C₂²×C₈	—	13	1	no	—
669	C₂²×C₈	—	13	1	no	—
670	C₂²×C₈	C₂²×D₁₃	1	1	yes	characteristic
671	C₂²×C₈	C₂²×D₁₃	1	1	yes	characteristic
672	C₄⋊Q₈	—	13	2	no	—
673	C₄⋊Q₈	—	13	2	no	—
674	C₄⋊Q₈	—	13	2	no	—
675	C₄⋊Q₈	—	13	2	no	—
676	C₄⋊Q₈	—	13	2	no	—
677	C₄⋊Q₈	—	13	1	no	—
678	C₄⋊Q₈	—	13	1	no	—
679	C₄⋊Q₈	—	13	1	no	—
680	C₄⋊Q₈	—	13	1	no	—
681	C₄⋊Q₈	—	13	2	no	—
682	C₄⋊Q₈	C₄×D₁₃	1	1	yes	characteristic
683	C₄⋊Q₈	C₄×D₁₃	1	1	yes	characteristic
684	#125	—	13	2	no	—
685	#125	—	13	2	no	—
686	#125	—	13	2	no	—
687	#125	—	13	2	no	—
688	#125	—	13	2	no	—
689	#125	—	13	2	no	—
690	#125	—	13	1	no	—
691	#125	—	13	1	no	—
692	#125	—	13	1	no	—
693	#125	—	13	1	no	—
694	#125	C₄×D₁₃	1	1	yes	characteristic
695	#125	C₄×D₁₃	1	1	yes	characteristic
696	C₂²⋊Q₈	—	13	2	no	—
697	C₂²⋊Q₈	—	13	2	no	—
698	C₂²⋊Q₈	—	13	2	no	—
699	C₂²⋊Q₈	—	13	2	no	—
700	C₂²⋊Q₈	—	13	2	no	—
701	C₂²⋊Q₈	—	13	2	no	—
702	C₂²⋊Q₈	—	13	2	no	—
703	C₂²⋊Q₈	—	13	2	no	—
704	C₂²⋊Q₈	—	13	2	no	—
705	C₂²⋊Q₈	—	13	2	no	—
706	C₂²⋊Q₈	—	13	2	no	—
707	C₂²⋊Q₈	—	13	2	no	—
708	C₂²⋊Q₈	—	13	2	no	—
709	C₂²⋊Q₈	—	13	2	no	—
710	C₂²⋊Q₈	—	13	2	no	—
711	C₂²⋊Q₈	—	13	2	no	—
712	C₂²⋊Q₈	C₄×D₁₃	1	2	yes	—
713	C₂²⋊Q₈	C₄×D₁₃	1	2	yes	—
714	C₄×Q₈	—	13	2	no	—
715	C₄×Q₈	—	13	2	no	—
716	C₄×Q₈	—	13	2	no	—
717	C₄×Q₈	—	13	2	no	—
718	C₄×Q₈	—	13	1	no	—
719	C₄×Q₈	—	13	1	no	—
720	C₄×Q₈	—	13	1	no	—
721	C₄×Q₈	—	13	1	no	—
722	C₄×Q₈	—	13	1	no	—
723	C₄×Q₈	—	13	1	no	—
724	C₄×Q₈	—	13	1	no	—
725	C₄×Q₈	—	13	1	no	—
726	C₄×Q₈	—	13	1	no	—
727	C₄×Q₈	—	13	1	no	—
728	C₄×Q₈	—	13	1	no	—
729	C₄×Q₈	—	13	1	no	—
730	C₄×Q₈	—	13	2	no	—
731	C₄×Q₈	—	13	1	no	—
732	C₄×Q₈	—	13	1	no	—
733	C₄×Q₈	—	13	2	no	—
734	C₄×Q₈	—	13	2	no	—
735	C₄×Q₈	—	13	2	no	—
736	C₄×Q₈	C₂²×D₁₃	1	2	yes	—
737	C₄×Q₈	C₂²×D₁₃	1	2	yes	—
738	C₄×D₄	—	13	2	no	—
739	C₄×D₄	—	13	2	no	—
740	C₄×D₄	—	13	1	no	—
741	C₄×D₄	—	13	1	no	—
742	C₄×D₄	—	13	1	no	—
743	C₄×D₄	—	13	1	no	—
744	C₄×D₄	—	13	2	no	—
745	C₄×D₄	—	13	2	no	—
746	C₄×D₄	—	13	2	no	—
747	C₄×D₄	—	13	2	no	—
748	C₄×D₄	—	13	1	no	—
749	C₄×D₄	—	13	1	no	—
750	#117	—	13	1	no	—
751	#117	—	13	2	no	—
752	#117	—	13	2	no	—
753	#117	—	13	2	no	—
754	#117	C₂²×D₁₃	1	1	yes	characteristic
755	#117	C₂²×D₁₃	1	1	yes	characteristic
756	C₂×C₄⋊C₄	—	13	1	no	—
757	C₂×C₄⋊C₄	—	13	1	no	—
758	C₂×C₄⋊C₄	—	13	1	no	—
759	C₂×C₄⋊C₄	—	13	2	no	—
760	C₂×C₄⋊C₄	—	13	2	no	—
761	C₂×C₄⋊C₄	—	13	2	no	—
762	C₂×C₄²	—	13	1	no	—
763	C₂×C₄²	—	13	1	no	—
764	C₂×C₄²	—	13	2	no	—
765	C₂×C₄²	—	13	2	no	—
766	C₂×C₄²	—	13	2	no	—
767	C₂×C₄²	C₂²×D₁₃	1	1	yes	characteristic
768	C₄⋊C₈	—	13	1	no	—
769	C₄⋊C₈	—	13	1	no	—
770	C₄⋊C₈	—	13	1	no	—
771	C₄⋊C₈	—	13	1	no	—
772	C₄⋊C₈	—	13	1	no	—
773	C₄⋊C₈	—	13	1	no	—
774	C₄⋊C₈	—	13	1	no	—
775	C₄⋊C₈	—	13	1	no	—
776	C₄⋊C₈	—	13	2	no	—
777	C₄⋊C₈	—	13	2	no	—
778	C₄⋊C₈	—	13	2	no	—
779	C₄⋊C₈	—	13	2	no	—
780	C₄⋊C₈	—	13	2	no	—
781	C₄⋊C₈	—	13	2	no	—
782	C₄⋊C₈	—	13	2	no	—
783	C₄⋊C₈	—	13	2	no	—
784	C₄⋊C₈	—	13	1	no	—
785	C₄⋊C₈	—	13	1	no	—
786	C₄⋊C₈	—	13	1	no	—
787	C₄⋊C₈	—	13	1	no	—
788	C₄⋊C₈	—	13	2	no	—
789	C₄⋊C₈	—	13	2	no	—
790	C₄⋊C₈	—	13	2	no	—
791	C₄⋊C₈	—	13	2	no	—
792	C₄⋊C₈	C₂²×D₁₃	1	2	yes	—
793	C₄⋊C₈	C₂²×D₁₃	1	2	yes	—
794	C₄⋊C₈	C₂²×D₁₃	1	2	yes	—
795	C₄⋊C₈	C₂²×D₁₃	1	2	yes	—
796	C₄⋊C₈	C₂²×D₁₃	1	2	yes	—
797	C₄⋊C₈	C₂²×D₁₃	1	2	yes	—
798	C₂²⋊C₈	—	13	2	no	—
799	C₂²⋊C₈	—	13	2	no	—
800	C₂²⋊C₈	—	13	2	no	—
801	C₂²⋊C₈	—	13	2	no	—
802	C₂²⋊C₈	—	13	2	no	—
803	C₂²⋊C₈	—	13	2	no	—
804	C₂²⋊C₈	—	13	2	no	—
805	C₂²⋊C₈	—	13	2	no	—
806	#97	—	13	1	no	—
807	#97	—	13	1	no	—
808	#97	—	13	1	no	—
809	#97	—	13	1	no	—
810	#97	—	13	2	no	—
811	#97	—	13	2	no	—
812	#97	—	13	2	no	—
813	#97	—	13	2	no	—
814	#97	—	13	2	no	—
815	#97	—	13	2	no	—
816	#97	—	13	2	no	—
817	#97	C₂²×D₁₃	1	1	yes	characteristic
818	#97	C₂²×D₁₃	1	1	yes	characteristic
819	#97	C₂²×D₁₃	1	1	yes	characteristic
820	#97	C₂²×D₁₃	1	1	yes	characteristic
821	#97	C₂²×D₁₃	1	2	yes	—
822	#97	C₂²×D₁₃	1	2	yes	—
823	C₄×C₈	—	13	1	no	—
824	C₄×C₈	—	13	1	no	—
825	C₄×C₈	—	13	1	no	—
826	C₄×C₈	—	13	1	no	—
827	C₄×C₈	—	13	2	no	—
828	C₄×C₈	—	13	2	no	—
829	C₄×C₈	—	13	2	no	—
830	C₄×C₈	—	13	2	no	—
831	C₄×C₈	—	13	2	no	—
832	C₄×C₈	—	13	2	no	—
833	C₄×C₈	—	13	2	no	—
834	C₄×C₈	C₂²×D₁₃	1	2	yes	—
835	C₄×C₈	C₂²×D₁₃	1	2	yes	—
836	C₂×C₁₃	—	2	2	no	—
837	C₂×C₁₃	C₂×#519	1	1	yes	characteristic
838	C₂×C₁₃	C₂×#568	1	1	yes	characteristic
839	C₂×C₁₃	#3573	1	1	yes	characteristic
840	D₁₃	—	4	2	no	—
841	#41	—	26	2	no	—
842	#41	—	26	2	no	—
843	C₂×Q₈	—	13	1	no	—
844	C₂×Q₈	—	13	1	no	—
845	C₂×Q₈	—	13	2	no	—
846	C₂×Q₈	—	13	1	no	—
847	C₂×Q₈	—	13	2	no	—
848	C₂×Q₈	—	13	1	no	—
849	C₂×Q₈	—	13	1	no	—
850	C₂×Q₈	—	13	2	no	—
851	C₂×Q₈	—	13	2	no	—
852	C₂×Q₈	—	52	2	no	—
853	C₂×Q₈	—	52	4	no	—
854	C₂×Q₈	C₂×C₄×D₁₃	1	2	yes	—
855	C₂×Q₈	C₂×C₄×D₁₃	1	2	yes	—
856	C₂×D₄	—	13	2	no	—
857	C₂×D₄	—	13	1	no	—
858	C₂²×C₄	—	13	1	no	—
859	C₂²×C₄	—	13	1	no	—
860	C₂²×C₄	—	13	1	no	—
861	C₂²×C₄	—	13	1	no	—
862	C₂²×C₄	—	13	2	no	—
863	C₂²×C₄	—	13	2	no	—
864	C₂²×C₄	—	13	2	no	—
865	C₂²×C₄	—	13	2	no	—
866	C₂²×C₄	—	13	2	no	—
867	C₂²×C₄	—	13	2	no	—
868	C₂²×C₄	—	13	2	no	—
869	C₂²×C₄	C₂×C₄×D₁₃	1	1	yes	characteristic
870	C₂²×C₄	C₂×C₄×D₁₃	1	1	yes	characteristic
871	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
872	M₁₆	—	2	2	no	—
873	M₁₆	—	2	2	no	—
874	M₁₆	—	26	2	no	—
875	M₁₆	—	26	2	no	—
876	C₂×C₈	—	2	2	no	—
877	C₂×C₈	—	2	2	no	—
878	C₂×C₈	—	13	1	no	—
879	C₂×C₈	—	13	2	no	—
880	C₂×C₈	—	13	2	no	—
881	C₂×C₈	—	13	1	no	—
882	C₂×C₈	—	13	1	no	—
883	C₂×C₈	—	13	1	no	—
884	C₂×C₈	—	26	2	no	—
885	C₂×C₈	—	26	2	no	—
886	C₂×C₈	C₂³×D₁₃	1	2	yes	—
887	C₂×C₈	C₂³×D₁₃	1	2	yes	—
888	C₂×C₈	C₂³×D₁₃	1	1	yes	characteristic
889	C₂×C₈	C₂³×D₁₃	1	1	yes	characteristic
890	C₂×C₈	C₂³×D₁₃	1	1	yes	characteristic
891	C₂×C₈	C₂³×D₁₃	1	1	yes	characteristic
892	C₄⋊C₄	—	13	1	no	—
893	C₄⋊C₄	—	13	1	no	—
894	C₄⋊C₄	—	13	1	no	—
895	C₄⋊C₄	—	13	2	no	—
896	C₄⋊C₄	—	13	2	no	—
897	C₄⋊C₄	—	13	1	no	—
898	C₄⋊C₄	—	13	1	no	—
899	C₄⋊C₄	—	13	1	no	—
900	C₄⋊C₄	—	13	1	no	—
901	C₄⋊C₄	—	13	2	no	—
902	C₄⋊C₄	—	13	2	no	—
903	C₄⋊C₄	—	13	1	no	—
904	C₄⋊C₄	—	13	1	no	—
905	C₄⋊C₄	—	13	2	no	—
906	C₄⋊C₄	—	13	1	no	—
907	C₄⋊C₄	—	13	2	no	—
908	C₄⋊C₄	—	13	1	no	—
909	C₄⋊C₄	—	13	1	no	—
910	C₄⋊C₄	—	13	2	no	—
911	C₄⋊C₄	—	13	2	no	—
912	C₄⋊C₄	—	13	2	no	—
913	C₄⋊C₄	—	13	2	no	—
914	C₄⋊C₄	—	13	2	no	—
915	C₄⋊C₄	—	13	2	no	—
916	C₄⋊C₄	—	13	1	no	—
917	C₄⋊C₄	—	13	1	no	—
918	C₄⋊C₄	—	13	2	no	—
919	C₄⋊C₄	—	13	2	no	—
920	C₄⋊C₄	—	13	2	no	—
921	C₄⋊C₄	—	13	2	no	—
922	C₄⋊C₄	—	13	2	no	—
923	C₄⋊C₄	—	13	2	no	—
924	C₄⋊C₄	C₂×C₄×D₁₃	1	2	yes	—
925	C₄⋊C₄	C₂×C₄×D₁₃	1	2	yes	—
926	C₄⋊C₄	C₂×C₄×D₁₃	1	2	yes	—
927	C₄⋊C₄	C₂×C₄×D₁₃	1	1	yes	characteristic
928	C₄⋊C₄	C₂×C₄×D₁₃	1	1	yes	characteristic
929	C₄⋊C₄	C₂×C₄×D₁₃	1	1	yes	characteristic
930	C₄⋊C₄	C₂×C₄×D₁₃	1	1	yes	characteristic
931	C₄⋊C₄	C₂×C₄×D₁₃	1	2	yes	—
932	C₄⋊C₄	C₂×C₄×D₁₃	1	2	yes	—
933	C₄⋊C₄	C₂×C₄×D₁₃	1	2	yes	—
934	C₂²⋊C₄	—	13	2	no	—
935	C₂²⋊C₄	—	13	2	no	—
936	C₂²⋊C₄	—	13	2	no	—
937	C₂²⋊C₄	—	13	2	no	—
938	C₂²⋊C₄	—	13	2	no	—
939	C₂²⋊C₄	—	13	2	no	—
940	C₂²⋊C₄	—	13	2	no	—
941	C₂²⋊C₄	C₂×C₄×D₁₃	1	2	yes	—
942	C₂²⋊C₄	C₂×C₄×D₁₃	1	2	yes	—
943	C₄²	—	13	2	no	—
944	C₄²	—	13	2	no	—
945	C₄²	—	13	2	no	—
946	C₄²	—	13	1	no	—
947	C₄²	—	13	1	no	—
948	C₄²	—	13	2	no	—
949	C₄²	—	13	1	no	—
950	C₄²	—	13	2	no	—
951	C₄²	—	13	2	no	—
952	C₄²	—	13	1	no	—
953	C₄²	—	13	1	no	—
954	C₄²	—	13	1	no	—
955	C₄²	—	13	1	no	—
956	C₄²	—	13	2	no	—
957	C₄²	—	13	1	no	—
958	C₄²	C₂×C₄×D₁₃	1	1	yes	characteristic
959	C₄²	C₂×C₄×D₁₃	1	1	yes	characteristic
960	C₄²	C₂³×D₁₃	1	1	yes	characteristic
961	C₄²	C₂³×D₁₃	1	2	yes	—
962	C₄²	C₂³×D₁₃	1	2	yes	—
963	C₄²	C₂³×D₁₃	1	1	yes	characteristic
964	C₁₃	#60254	1	1	yes	characteristic, complemented, Sylow
965	C₂³	—	13	2	no	—
966	C₂³	C₂²×C₄×D₁₃	1	1	yes	characteristic
967	Q₈	—	4	2	no	—
968	Q₈	—	4	2	no	—
969	Q₈	—	26	2	no	—
970	Q₈	—	26	4	no	—
971	Q₈	—	26	2	no	—
972	Q₈	—	26	2	no	—
973	Q₈	—	52	2	no	—
974	Q₈	—	52	2	no	—
975	Q₈	—	52	1	no	—
976	Q₈	—	52	1	no	—
977	Q₈	—	52	2	no	—
978	D₄	—	26	4	no	—
979	D₄	—	26	2	no	—
980	C₂×C₄	—	4	1	no	—
981	C₂×C₄	—	4	1	no	—
982	C₂×C₄	—	13	1	no	—
983	C₂×C₄	—	13	2	no	—
984	C₂×C₄	—	13	1	no	—
985	C₂×C₄	—	13	1	no	—
986	C₂×C₄	—	13	1	no	—
987	C₂×C₄	—	13	1	no	—
988	C₂×C₄	—	13	2	no	—
989	C₂×C₄	—	13	1	no	—
990	C₂×C₄	—	13	2	no	—
991	C₂×C₄	—	13	1	no	—
992	C₂×C₄	—	13	1	no	—
993	C₂×C₄	—	26	4	no	—
994	C₂×C₄	—	26	2	no	—
995	C₂×C₄	—	26	2	no	—
996	C₂×C₄	—	26	2	no	—
997	C₂×C₄	—	52	2	no	—
998	C₂×C₄	—	52	2	no	—
999	C₂×C₄	—	52	2	no	—
1000	C₂×C₄	—	52	2	no	—
1001	C₂×C₄	—	52	2	no	—
1002	C₂×C₄	—	52	1	no	—
1003	C₂×C₄	—	52	1	no	—
1004	C₂×C₄	—	52	1	no	—
1005	C₂×C₄	C₂²×C₄×D₁₃	1	1	yes	characteristic
1006	C₂×C₄	C₂²×C₄×D₁₃	1	1	yes	characteristic
1007	C₂×C₄	C₂²×C₄×D₁₃	1	2	yes	—
1008	C₂×C₄	C₂²×C₄×D₁₃	1	2	yes	—
1009	C₂×C₄	C₂²×C₄×D₁₃	1	2	yes	—
1010	C₂×C₄	C₂²×C₄×D₁₃	1	2	yes	—
1011	C₂×C₄	C₂²×C₄×D₁₃	1	1	yes	characteristic
1012	C₂×C₄	C₂²×C₄×D₁₃	1	1	yes	characteristic
1013	C₂×C₄	C₂²×C₄×D₁₃	1	1	yes	characteristic
1014	C₂×C₄	#88254	1	2	yes	—
1015	C₂×C₄	#88257	1	2	yes	—
1016	C₂×C₄	C₂⁴×D₁₃	1	1	yes	characteristic
1017	C₈	—	2	1	no	—
1018	C₈	—	2	1	no	—
1019	C₈	—	2	1	no	—
1020	C₈	—	2	1	no	—
1021	C₈	—	2	2	no	—
1022	C₈	—	2	2	no	—
1023	C₈	—	26	1	no	—
1024	C₈	—	26	1	no	—
1025	C₈	—	26	1	no	—
1026	C₈	—	26	1	no	—
1027	C₈	—	26	2	no	—
1028	C₈	—	26	2	no	—
1029	C₂²	—	2	1	no	—
1030	C₂²	—	2	1	no	—
1031	C₂²	—	26	2	no	—
1032	C₂²	—	26	2	no	—
1033	C₂²	—	26	2	no	—
1034	C₂²	#11719277	1	2	yes	—
1035	C₂²	C₂³×C₄×D₁₃	1	1	yes	characteristic
1036	C₄	—	2	1	no	—
1037	C₄	—	2	1	no	—
1038	C₄	—	2	2	no	—
1039	C₄	—	2	2	no	—
1040	C₄	—	2	1	no	—
1041	C₄	—	2	1	no	—
1042	C₄	—	2	2	no	—
1043	C₄	—	2	2	no	—
1044	C₄	—	13	2	no	—
1045	C₄	—	26	1	no	—
1046	C₄	—	26	1	no	—
1047	C₄	—	26	2	no	—
1048	C₄	—	26	1	no	—
1049	C₄	—	26	1	no	—
1050	C₄	—	26	1	no	—
1051	C₄	—	26	2	no	—
1052	C₄	—	26	1	no	—
1053	C₄	—	26	1	no	—
1054	C₄	—	26	2	no	—
1055	C₄	#11719277	1	2	yes	—
1056	C₄	C₂×#88254	1	1	yes	characteristic
1057	C₄	C₂×#88257	1	1	yes	characteristic
1058	C₂	—	2	2	no	—
1059	C₂	—	52	2	no	—
1060	C₂	C₂×#11719277	1	1	yes	characteristic
1061	C₂	D₁₃×#568	1	1	yes	characteristic
1062	C₂	#13129549	1	1	yes	characteristic

	subgroup	G/H
center, Frattini	C₂×C₄	C₂⁴×D₁₃
commutator, socle	C₂²×C₁₃	C₂⁴×C₄
Fitting	C₁₃×#2961	C₂
prime radical	C₂×#6127	C₂³
cosocle	C₂×C₄×C₁₃	C₂⁵
hypercenter	#2961	D₁₃
hypocenter	C₁₃	#60254
LCS	G ▷ C₂²×C₁₃ ▷ C₁₃
UCS	C₁ ◁ C₂×C₄ ◁ #2961

Complements

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

N	H ≅ G/N	type
2. #13123939	C₂	semidirect
3. #13123939	C₂	semidirect
4. #13123934	C₂	semidirect
5. #13123932	C₂	semidirect
6. #13123929	C₂	semidirect
7. #13123929	C₂	semidirect
8. #13123922	C₂	semidirect
9. #13123918	C₂	semidirect
10. #13123787	C₂	semidirect
11. #13123785	C₂	semidirect
12. #13123780	C₂	semidirect
13. #13123780	C₂	semidirect
14. #13123775	C₂	semidirect
15. #13123769	C₂	semidirect
16. C₂×#11718362	C₂	semidirect
23. C₁₃×#2961	C₂	semidirect
448. #2961	D₁₃	semidirect
964. C₁₃	#60254	semidirect

Maximal subgroups

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

subgroup	index
#13128414	2
#13123939	2
#13123934	2
#13123932	2
#13123929	2
#13123922	2
#13123918	2
#13123787	2
#13123785	2
#13123780	2
#13123775	2
#13123769	2
C₂×#11718362	2
#13123504	2
#13123500	2
#13123486	2
#13123485	2
#13123479	2
C₁₃×#2961	2
#60254	13