Subgroups — #16728045

Order 3328.

1872 conjugacy classes of subgroups.

The subgroup lattice has 1446 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×#11719243	C₂	1	1	yes	maximal, characteristic
2	#13124007	C₂	1	2	yes	maximal, complemented
3	#13124000	C₂	1	2	yes	maximal, complemented
4	#13123993	C₂	1	2	yes	maximal, complemented
5	#13123989	C₂	1	2	yes	maximal, complemented
6	#13123982	C₂	1	2	yes	maximal, complemented
7	#13123978	C₂	1	2	yes	maximal, complemented
8	#13123976	C₂	1	2	yes	maximal, complemented
9	#13123969	C₂	1	2	yes	maximal, complemented
10	M₁₆×Dic₂₆	C₂	1	1	yes	maximal, characteristic, complemented
11	#13123787	C₂	1	1	yes	maximal, characteristic, complemented
12	D₄×#6099	C₂	1	1	yes	maximal, characteristic, complemented
13	M₁₆×C₂²⋊D₁₃	C₂	1	1	yes	maximal, characteristic, complemented
14	M₁₆×C₂²⋊D₁₃	C₂	1	1	yes	maximal, characteristic, complemented
15	#13123568	C₂	1	1	yes	maximal, characteristic, complemented
16	#13123568	C₂	1	1	yes	maximal, characteristic, complemented
17	#13123472	C₂	1	1	yes	maximal, characteristic, complemented
18	#13123471	C₂	1	1	yes	maximal, characteristic, complemented
19	#13123465	C₂	1	1	yes	maximal, characteristic, complemented
20	#13123399	C₂	1	1	yes	maximal, characteristic, complemented
21	#13123398	C₂	1	1	yes	maximal, characteristic, complemented
22	C₂×#11718779	C₂	1	1	yes	maximal, characteristic, complemented
23	D₄×C₁₃×M₁₆	C₂	1	1	yes	maximal, characteristic, complemented
24	C₂²×C₁₃×M₁₆	C₂²	1	1	yes	characteristic
25	C₂²×C₁₃×M₁₆	C₂²	1	1	yes	characteristic
26	C₂×C₄×D₄×C₁₃	C₂²	1	1	yes	characteristic
27	C₂×#88193	C₄	1	1	yes	characteristic
28	C₂×#88189	C₄	1	1	yes	characteristic
29	C₂×C₄×C₂²⋊D₁₃	C₂²	1	1	yes	characteristic
30	C₂×C₄×C₂²⋊D₁₃	C₂²	1	1	yes	characteristic
31	C₂×#88180	C₂²	1	1	yes	characteristic
32	C₂²×C₄×Dic₁₃	C₂²	1	1	yes	characteristic
33	C₂²×#6099	C₂²	1	1	yes	characteristic
34	C₂²×#6099	C₂²	1	1	yes	characteristic
35	C₂×M₁₆×D₁₃	C₂²	1	1	yes	characteristic
36	C₂×M₁₆×D₁₃	C₂²	1	1	yes	characteristic
37	#11719243	C₄	1	1	yes	characteristic
38	#11719243	C₄	1	1	yes	characteristic
39	#11719243	C₄	1	1	yes	characteristic
40	#11719243	C₄	1	1	yes	characteristic
41	#11719243	C₄	1	1	yes	characteristic
42	#11719243	C₄	1	1	yes	characteristic
43	#11719243	C₄	1	1	yes	characteristic
44	#11719243	C₄	1	1	yes	characteristic
45	#11719243	C₂²	1	1	yes	characteristic
46	#11719243	C₂²	1	1	yes	characteristic
47	#11719243	C₂²	1	1	yes	characteristic
48	#11719243	C₂²	1	1	yes	characteristic
49	#11719243	C₂²	1	1	yes	characteristic
50	#11719243	C₂²	1	1	yes	characteristic
51	#11719243	C₂²	1	1	yes	characteristic
52	#11719243	C₂²	1	1	yes	characteristic
53	C₂×#88152	C₄	1	1	yes	characteristic
54	C₂×#88143	C₄	1	1	yes	characteristic
55	C₂×#88140	C₄	1	1	yes	characteristic
56	C₂×#88139	C₄	1	1	yes	characteristic
57	C₂×#88133	C₄	1	1	yes	characteristic
58	C₂×#88132	C₄	1	1	yes	characteristic
59	C₂×#88126	C₂²	1	1	yes	characteristic
60	C₂×C₄×Dic₂₆	C₂²	1	1	yes	characteristic
61	C₁₃×#436	C₂²	1	2	yes	complemented
62	C₁₃×#435	C₂²	1	2	yes	complemented
63	C₁₃×#435	C₂²	1	2	yes	complemented
64	C₈×D₄×C₁₃	C₂²	1	2	yes	complemented
65	C₁₃×#423	C₂²	1	1	yes	characteristic
66	C₁₃×#407	C₂²	1	1	yes	characteristic
67	C₁₃×#407	C₂²	1	1	yes	characteristic
68	C₄×C₁₃×M₁₆	C₂²	1	1	yes	characteristic
69	#11718868	C₂²	1	1	yes	characteristic
70	#11718868	C₂²	1	1	yes	characteristic
71	#11718789	C₂²	1	2	yes	complemented
72	#11718789	C₂²	1	2	yes	complemented
73	#11718788	C₂²	1	2	yes	complemented
74	#11718788	C₂²	1	2	yes	complemented
75	#11718787	C₂²	1	1	yes	characteristic
76	#11718787	C₂²	1	1	yes	characteristic
77	#11718780	C₂²	1	2	yes	complemented
78	#11718780	C₂²	1	2	yes	complemented
79	#11718779	C₂²	1	1	yes	characteristic
80	#11718779	C₂²	1	1	yes	characteristic
81	#11718779	C₂²	1	1	yes	characteristic
82	#11718779	C₂²	1	1	yes	characteristic
83	#11718779	C₂²	1	1	yes	characteristic
84	#11718779	C₂²	1	1	yes	characteristic
85	#11718779	C₂²	1	1	yes	characteristic
86	#11718779	C₂²	1	1	yes	characteristic
87	#11718779	C₂²	1	2	yes	complemented
88	#11718779	C₂²	1	2	yes	complemented
89	M₁₆×Dic₁₃	C₂²	1	1	yes	characteristic
90	M₁₆×Dic₁₃	C₂²	1	1	yes	characteristic
91	M₁₆×Dic₁₃	C₂²	1	1	yes	characteristic
92	M₁₆×Dic₁₃	C₂²	1	1	yes	characteristic
93	#11718772	C₂²	1	2	yes	complemented
94	#11718772	C₂²	1	2	yes	complemented
95	C₈×C₂²⋊D₁₃	C₂²	1	2	yes	complemented
96	C₈×C₂²⋊D₁₃	C₂²	1	2	yes	complemented
97	#11718763	C₂²	1	2	yes	complemented
98	#11718763	C₂²	1	2	yes	complemented
99	C₂×#88054	C₂²	1	2	yes	complemented
100	C₂×#88054	C₂²	1	2	yes	complemented
101	#11718673	C₂²	1	2	yes	complemented
102	#11718672	C₂²	1	2	yes	complemented
103	#11718672	C₂²	1	2	yes	complemented
104	D₄×#1055	C₂²	1	2	yes	complemented
105	#11718585	C₂²	1	1	yes	characteristic
106	C₄×#6099	C₂²	1	1	yes	characteristic
107	#11718500	C₂²	1	2	yes	complemented
108	#11718500	C₂²	1	2	yes	complemented
109	#11718500	C₂²	1	2	yes	complemented
110	#11718500	C₂²	1	2	yes	complemented
111	#11718492	C₂²	1	2	yes	complemented
112	#11718491	C₂²	1	2	yes	complemented
113	#11718489	C₂²	1	2	yes	complemented
114	#11718489	C₂²	1	2	yes	complemented
115	#11718391	C₂²	1	2	yes	complemented
116	#11718391	C₂²	1	2	yes	complemented
117	#11718390	C₂²	1	2	yes	complemented
118	#11718390	C₂²	1	2	yes	complemented
119	#11718389	C₂²	1	2	yes	complemented
120	#11718389	C₂²	1	2	yes	complemented
121	#11718386	C₂²	1	2	yes	complemented
122	#11718386	C₂²	1	2	yes	complemented
123	#11718381	C₂²	1	2	yes	complemented
124	#11718381	C₂²	1	2	yes	complemented
125	#11718381	C₂²	1	2	yes	complemented
126	#11718381	C₂²	1	2	yes	complemented
127	#11718380	C₂²	1	2	yes	complemented
128	#11718380	C₂²	1	2	yes	complemented
129	#11718379	C₂²	1	2	yes	complemented
130	#11718379	C₂²	1	2	yes	complemented
131	#11718370	C₂²	1	2	yes	complemented
132	#11718370	C₂²	1	2	yes	complemented
133	#11718362	C₂²	1	2	yes	complemented
134	#11718362	C₂²	1	2	yes	complemented
135	#11718351	C₂²	1	2	yes	complemented
136	#11718351	C₂²	1	2	yes	complemented
137	#11718340	C₂²	1	2	yes	complemented
138	C₈×Dic₂₆	C₂²	1	2	yes	complemented
139	C₂²×D₄×C₁₃	C₂×C₄	1	1	yes	characteristic
140	C₂³×C₄×C₁₃	C₂³	1	1	yes	characteristic
141	C₂³×C₄×C₁₃	C₂³	1	1	yes	characteristic
142	C₂²×C₂²⋊D₁₃	C₂×C₄	1	1	yes	characteristic
143	C₂²×C₂²⋊D₁₃	C₂×C₄	1	1	yes	characteristic
144	C₂³×Dic₁₃	C₂×C₄	1	1	yes	characteristic
145	C₂³×Dic₁₃	C₂×C₄	1	1	yes	characteristic
146	C₂²×C₄×D₁₃	C₂³	1	1	yes	characteristic
147	C₂²×Dic₂₆	C₂×C₄	1	1	yes	characteristic
148	C₂×C₁₃×M₁₆	—	4	2	no	—
149	C₂×C₁₃×M₁₆	—	4	2	no	—
150	C₂×C₁₃×M₁₆	C₂³	1	1	yes	characteristic
151	C₂×C₁₃×M₁₆	C₂³	1	1	yes	characteristic
152	C₂×C₁₃×M₁₆	C₂³	1	1	yes	characteristic
153	C₂×C₁₃×M₁₆	C₂³	1	1	yes	characteristic
154	C₂×C₁₃×M₁₆	C₂³	1	2	yes	—
155	C₂×C₁₃×M₁₆	C₂³	1	2	yes	—
156	C₂²×C₈×C₁₃	C₂³	1	2	yes	—
157	C₂²×C₈×C₁₃	C₂³	1	2	yes	—
158	C₄×D₄×C₁₃	C₂×C₄	1	1	yes	characteristic
159	C₄×D₄×C₁₃	C₂×C₄	1	1	yes	characteristic
160	C₄×D₄×C₁₃	C₂×C₄	1	1	yes	characteristic
161	C₄×D₄×C₁₃	C₂×C₄	1	1	yes	characteristic
162	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
163	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
164	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
165	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
166	C₂×C₁₃×C₄⋊C₄	C₂×C₄	1	1	yes	characteristic
167	C₂×C₁₃×C₂²⋊C₄	C₂×C₄	1	1	yes	characteristic
168	C₂×C₁₃×C₂²⋊C₄	C₂×C₄	1	1	yes	characteristic
169	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
170	C₂×C₂²⋊Dic₁₃	C₂×C₄	1	1	yes	characteristic
171	C₂×C₂²⋊Dic₁₃	C₂×C₄	1	1	yes	characteristic
172	C₂×C₂²⋊Dic₁₃	C₂×C₄	1	1	yes	characteristic
173	C₂×C₂²⋊Dic₁₃	C₂×C₄	1	1	yes	characteristic
174	#88193	C₂×C₄	1	1	yes	characteristic
175	#88193	C₂×C₄	1	1	yes	characteristic
176	#88193	C₂×C₄	1	1	yes	characteristic
177	#88193	C₂×C₄	1	1	yes	characteristic
178	#88193	C₂×C₄	1	1	yes	characteristic
179	#88193	C₂×C₄	1	1	yes	characteristic
180	#88193	C₂×C₄	1	1	yes	characteristic
181	#88193	C₂×C₄	1	1	yes	characteristic
182	#88189	C₂×C₄	1	1	yes	characteristic
183	#88189	C₂×C₄	1	1	yes	characteristic
184	#88189	C₂×C₄	1	1	yes	characteristic
185	#88189	C₂×C₄	1	1	yes	characteristic
186	#88189	C₂×C₄	1	1	yes	characteristic
187	#88189	C₂×C₄	1	1	yes	characteristic
188	#88189	C₂×C₄	1	1	yes	characteristic
189	#88189	C₂×C₄	1	1	yes	characteristic
190	C₄×C₂²⋊D₁₃	C₂×C₄	1	1	yes	characteristic
191	C₄×C₂²⋊D₁₃	C₂×C₄	1	1	yes	characteristic
192	C₄×C₂²⋊D₁₃	C₂×C₄	1	1	yes	characteristic
193	C₄×C₂²⋊D₁₃	C₂×C₄	1	1	yes	characteristic
194	C₄×C₂²⋊D₁₃	C₂×C₄	1	1	yes	characteristic
195	C₄×C₂²⋊D₁₃	C₂×C₄	1	1	yes	characteristic
196	C₄×C₂²⋊D₁₃	C₂×C₄	1	1	yes	characteristic
197	C₄×C₂²⋊D₁₃	C₂×C₄	1	1	yes	characteristic
198	C₄×C₂²⋊D₁₃	C₂³	1	1	yes	characteristic
199	C₄×C₂²⋊D₁₃	C₂³	1	1	yes	characteristic
200	C₄×C₂²⋊D₁₃	C₂³	1	1	yes	characteristic
201	C₄×C₂²⋊D₁₃	C₂³	1	1	yes	characteristic
202	C₄×C₂²⋊D₁₃	C₂³	1	1	yes	characteristic
203	C₄×C₂²⋊D₁₃	C₂³	1	1	yes	characteristic
204	C₄×C₂²⋊D₁₃	C₂³	1	1	yes	characteristic
205	C₄×C₂²⋊D₁₃	C₂³	1	1	yes	characteristic
206	C₂×#6103	C₂×C₄	1	1	yes	characteristic
207	C₂×#6103	C₂×C₄	1	1	yes	characteristic
208	C₂×#6103	C₂×C₄	1	1	yes	characteristic
209	C₂×#6103	C₂×C₄	1	1	yes	characteristic
210	#88180	C₂×C₄	1	1	yes	characteristic
211	#88180	C₂×C₄	1	1	yes	characteristic
212	#88180	C₂×C₄	1	1	yes	characteristic
213	#88180	C₂×C₄	1	1	yes	characteristic
214	#88180	C₂³	1	1	yes	characteristic
215	#88180	C₂³	1	1	yes	characteristic
216	#88180	C₂³	1	1	yes	characteristic
217	#88180	C₂³	1	1	yes	characteristic
218	C₂×C₄⋊Dic₁₃	C₂×C₄	1	1	yes	characteristic
219	C₂×C₄⋊Dic₁₃	C₂×C₄	1	1	yes	characteristic
220	C₂×C₄⋊Dic₁₃	C₂×C₄	1	1	yes	characteristic
221	C₂×#6101	C₂×C₄	1	1	yes	characteristic
222	C₂×#6101	C₂×C₄	1	1	yes	characteristic
223	C₂×#6101	C₂×C₄	1	1	yes	characteristic
224	C₂×#6101	C₂×C₄	1	1	yes	characteristic
225	C₂×#6101	C₂×C₄	1	1	yes	characteristic
226	C₂×#6101	C₂×C₄	1	1	yes	characteristic
227	C₂×C₄×Dic₁₃	C₂×C₄	1	1	yes	characteristic
228	C₂×C₄×Dic₁₃	C₂×C₄	1	1	yes	characteristic
229	C₂×C₄×Dic₁₃	C₂×C₄	1	1	yes	characteristic
230	C₂×C₄×Dic₁₃	C₂×C₄	1	1	yes	characteristic
231	C₂×C₄×Dic₁₃	C₂×C₄	1	1	yes	characteristic
232	C₂×C₄×Dic₁₃	C₂×C₄	1	1	yes	characteristic
233	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
234	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
235	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
236	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
237	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
238	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
239	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
240	C₂×#6099	—	4	2	no	—
241	C₂×#6099	—	4	2	no	—
242	C₂×#6099	C₂³	1	1	yes	characteristic
243	C₂×#6099	C₂³	1	1	yes	characteristic
244	C₂×#6099	C₂³	1	1	yes	characteristic
245	C₂×#6099	C₂³	1	1	yes	characteristic
246	C₂×#6099	C₂³	1	2	yes	—
247	C₂×#6099	C₂³	1	2	yes	—
248	C₂²×#1055	C₂³	1	2	yes	—
249	C₂²×#1055	C₂³	1	2	yes	—
250	M₁₆×D₁₃	—	4	2	no	—
251	M₁₆×D₁₃	—	4	2	no	—
252	C₂×#6094	C₂³	1	2	yes	—
253	C₂×#6094	C₂³	1	2	yes	—
254	C₂×C₈×D₁₃	C₂³	1	2	yes	—
255	C₂×C₈×D₁₃	C₂³	1	2	yes	—
256	#88152	C₂×C₄	1	1	yes	characteristic
257	#88152	C₂×C₄	1	1	yes	characteristic
258	#88152	C₂×C₄	1	1	yes	characteristic
259	#88152	C₂×C₄	1	1	yes	characteristic
260	#88152	C₂×C₄	1	1	yes	characteristic
261	#88152	C₂×C₄	1	1	yes	characteristic
262	#88152	C₂×C₄	1	1	yes	characteristic
263	#88152	C₂×C₄	1	1	yes	characteristic
264	#88143	C₂×C₄	1	1	yes	characteristic
265	#88143	C₂×C₄	1	1	yes	characteristic
266	#88143	C₂×C₄	1	1	yes	characteristic
267	#88143	C₂×C₄	1	1	yes	characteristic
268	#88143	C₂×C₄	1	1	yes	characteristic
269	#88143	C₂×C₄	1	1	yes	characteristic
270	#88143	C₂×C₄	1	1	yes	characteristic
271	#88143	C₂×C₄	1	1	yes	characteristic
272	#88140	C₂×C₄	1	1	yes	characteristic
273	#88140	C₂×C₄	1	1	yes	characteristic
274	#88140	C₂×C₄	1	1	yes	characteristic
275	#88140	C₂×C₄	1	1	yes	characteristic
276	#88140	C₂×C₄	1	1	yes	characteristic
277	#88140	C₂×C₄	1	1	yes	characteristic
278	#88140	C₂×C₄	1	1	yes	characteristic
279	#88140	C₂×C₄	1	1	yes	characteristic
280	#88139	C₂×C₄	1	1	yes	characteristic
281	#88139	C₂×C₄	1	1	yes	characteristic
282	#88139	C₂×C₄	1	1	yes	characteristic
283	#88139	C₂×C₄	1	1	yes	characteristic
284	#88139	C₂×C₄	1	1	yes	characteristic
285	#88139	C₂×C₄	1	1	yes	characteristic
286	#88139	C₂×C₄	1	1	yes	characteristic
287	#88139	C₂×C₄	1	1	yes	characteristic
288	#88133	C₂×C₄	1	1	yes	characteristic
289	#88133	C₂×C₄	1	1	yes	characteristic
290	#88133	C₂×C₄	1	1	yes	characteristic
291	#88133	C₂×C₄	1	1	yes	characteristic
292	#88133	C₂×C₄	1	1	yes	characteristic
293	#88133	C₂×C₄	1	1	yes	characteristic
294	#88133	C₂×C₄	1	1	yes	characteristic
295	#88133	C₂×C₄	1	1	yes	characteristic
296	#88132	C₂×C₄	1	1	yes	characteristic
297	#88132	C₂×C₄	1	1	yes	characteristic
298	#88132	C₂×C₄	1	1	yes	characteristic
299	#88132	C₂×C₄	1	1	yes	characteristic
300	#88132	C₂×C₄	1	1	yes	characteristic
301	#88132	C₂×C₄	1	1	yes	characteristic
302	#88132	C₂×C₄	1	1	yes	characteristic
303	#88132	C₂×C₄	1	1	yes	characteristic
304	#88126	C₂×C₄	1	1	yes	characteristic
305	#88126	C₂×C₄	1	1	yes	characteristic
306	#88126	C₂×C₄	1	1	yes	characteristic
307	#88126	C₂×C₄	1	1	yes	characteristic
308	#88126	C₂³	1	1	yes	characteristic
309	#88126	C₂³	1	1	yes	characteristic
310	#88126	C₂³	1	1	yes	characteristic
311	#88126	C₂³	1	1	yes	characteristic
312	C₄×Dic₂₆	C₂×C₄	1	1	yes	characteristic
313	C₄×Dic₂₆	C₂×C₄	1	1	yes	characteristic
314	C₄×Dic₂₆	C₂×C₄	1	1	yes	characteristic
315	C₄×Dic₂₆	C₂×C₄	1	1	yes	characteristic
316	C₄×Dic₂₆	C₂³	1	1	yes	characteristic
317	C₄×Dic₂₆	C₂³	1	1	yes	characteristic
318	C₄×Dic₂₆	C₂³	1	1	yes	characteristic
319	C₄×Dic₂₆	C₂³	1	1	yes	characteristic
320	C₁₃×C₄⋊C₈	C₂³	1	2	yes	—
321	C₁₃×C₄⋊C₈	C₂³	1	2	yes	—
322	C₁₃×C₂²⋊C₈	C₂³	1	2	yes	—
323	C₁₃×C₂²⋊C₈	C₂³	1	2	yes	—
324	C₁₃×C₂²⋊C₈	C₂³	1	2	yes	—
325	C₁₃×C₂²⋊C₈	C₂³	1	2	yes	—
326	C₁₃×#97	C₂³	1	2	yes	—
327	C₄×C₈×C₁₃	C₂³	1	2	yes	—
328	C₂²⋊#1055	C₂³	1	2	yes	—
329	C₂²⋊#1055	C₂³	1	2	yes	—
330	C₂²⋊#1055	C₂³	1	2	yes	—
331	C₂²⋊#1055	C₂³	1	2	yes	—
332	#88060	C₂³	1	2	yes	—
333	#88060	C₂³	1	2	yes	—
334	#88060	C₂³	1	2	yes	—
335	#88060	C₂³	1	2	yes	—
336	#88055	C₂³	1	2	yes	—
337	#88055	C₂³	1	2	yes	—
338	#88055	C₂³	1	2	yes	—
339	#88055	C₂³	1	2	yes	—
340	#88054	C₂³	1	2	yes	—
341	#88054	C₂³	1	2	yes	—
342	#88054	C₂³	1	2	yes	—
343	#88054	C₂³	1	2	yes	—
344	#88054	C₂³	1	2	yes	—
345	#88054	C₂³	1	2	yes	—
346	#88054	C₂³	1	2	yes	—
347	#88054	C₂³	1	2	yes	—
348	#88054	C₂³	1	2	yes	—
349	#88054	C₂³	1	2	yes	—
350	#88054	C₂³	1	2	yes	—
351	#88054	C₂³	1	2	yes	—
352	#88054	C₂³	1	2	yes	—
353	#88054	C₂³	1	2	yes	—
354	#88054	C₂³	1	2	yes	—
355	#88054	C₂³	1	2	yes	—
356	C₈×Dic₁₃	C₂³	1	2	yes	—
357	C₈×Dic₁₃	C₂³	1	2	yes	—
358	C₈×Dic₁₃	C₂³	1	2	yes	—
359	C₈×Dic₁₃	C₂³	1	2	yes	—
360	C₄⋊#1055	C₂³	1	2	yes	—
361	C₄⋊#1055	C₂³	1	2	yes	—
362	#88043	C₂³	1	2	yes	—
363	C₄×#1055	C₂³	1	2	yes	—
364	#60264	—	13	1	no	maximal, Sylow
365	C₂⁴×C₁₃	C₂²×C₄	1	1	yes	characteristic
366	C₂⁴×C₁₃	C₂²×C₄	1	1	yes	characteristic
367	C₂³×D₁₃	C₂²×C₄	1	1	yes	characteristic
368	C₂×D₄×C₁₃	—	4	2	no	—
369	C₂×D₄×C₁₃	C₂²×C₄	1	1	yes	characteristic
370	C₂×D₄×C₁₃	C₂²×C₄	1	1	yes	characteristic
371	C₂×D₄×C₁₃	C₂²×C₄	1	1	yes	characteristic
372	C₂×D₄×C₁₃	C₂²×C₄	1	1	yes	characteristic
373	C₂²×C₄×C₁₃	—	2	2	no	—
374	C₂²×C₄×C₁₃	—	2	2	no	—
375	C₂²×C₄×C₁₃	—	2	2	no	—
376	C₂²×C₄×C₁₃	—	2	2	no	—
377	C₂²×C₄×C₁₃	C₂²×C₄	1	1	yes	characteristic
378	C₂²×C₄×C₁₃	C₂²×C₄	1	1	yes	characteristic
379	C₂²×C₄×C₁₃	C₂²×C₄	1	1	yes	characteristic
380	C₂²×C₄×C₁₃	C₂²×C₄	1	1	yes	characteristic
381	C₂²×C₄×C₁₃	C₂²×C₄	1	1	yes	characteristic
382	C₂²×C₄×C₁₃	C₂²×C₄	1	1	yes	characteristic
383	C₂²×C₄×C₁₃	C₂²×C₄	1	1	yes	characteristic
384	C₂²×C₄×C₁₃	C₂²×C₄	1	1	yes	characteristic
385	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
386	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
387	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
388	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
389	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
390	C₂×C₂²⋊D₁₃	—	4	2	no	—
391	C₂×C₂²⋊D₁₃	—	4	2	no	—
392	C₂×C₂²⋊D₁₃	C₂²×C₄	1	1	yes	characteristic
393	C₂×C₂²⋊D₁₃	C₂²×C₄	1	1	yes	characteristic
394	C₂×C₂²⋊D₁₃	C₂²×C₄	1	1	yes	characteristic
395	C₂×C₂²⋊D₁₃	C₂²×C₄	1	1	yes	characteristic
396	C₂×C₂²⋊D₁₃	C₂²×C₄	1	1	yes	characteristic
397	C₂×C₂²⋊D₁₃	C₂²×C₄	1	1	yes	characteristic
398	C₂×C₂²⋊D₁₃	C₂²×C₄	1	1	yes	characteristic
399	C₂×C₂²⋊D₁₃	C₂²×C₄	1	1	yes	characteristic
400	C₂²×Dic₁₃	—	4	2	no	—
401	C₂²×Dic₁₃	—	4	2	no	—
402	C₂²×Dic₁₃	C₂²×C₄	1	1	yes	characteristic
403	C₂²×Dic₁₃	C₂²×C₄	1	1	yes	characteristic
404	C₂²×Dic₁₃	C₂²×C₄	1	1	yes	characteristic
405	C₂²×Dic₁₃	C₂²×C₄	1	1	yes	characteristic
406	C₂²×Dic₁₃	C₂²×C₄	1	1	yes	characteristic
407	C₂²×Dic₁₃	C₂²×C₄	1	1	yes	characteristic
408	C₂²×Dic₁₃	C₂²×C₄	1	1	yes	characteristic
409	C₂²×Dic₁₃	C₂²×C₄	1	1	yes	characteristic
410	C₂²×Dic₁₃	C₂²×C₄	1	1	yes	characteristic
411	C₂²×Dic₁₃	C₂²×C₄	1	1	yes	characteristic
412	C₂²×Dic₁₃	C₂²×C₄	1	1	yes	characteristic
413	C₂²×Dic₁₃	C₂²×C₄	1	1	yes	characteristic
414	C₂²×Dic₁₃	C₂²×C₄	1	1	yes	characteristic
415	C₂²×Dic₁₃	C₂²×C₄	1	1	yes	characteristic
416	C₂²×Dic₁₃	C₂²×C₄	1	1	yes	characteristic
417	C₂×C₄×D₁₃	—	2	2	no	—
418	C₂×C₄×D₁₃	—	2	2	no	—
419	C₂×C₄×D₁₃	C₂²×C₄	1	1	yes	characteristic
420	C₂×C₄×D₁₃	C₂²×C₄	1	1	yes	characteristic
421	C₂×C₄×D₁₃	C₂⁴	1	1	yes	characteristic
422	C₂×C₄×D₁₃	C₂⁴	1	1	yes	characteristic
423	C₂×Dic₂₆	—	4	2	no	—
424	C₂×Dic₂₆	C₂²×C₄	1	1	yes	characteristic
425	C₂×Dic₂₆	C₂²×C₄	1	1	yes	characteristic
426	C₂×Dic₂₆	C₂²×C₄	1	1	yes	characteristic
427	C₂×Dic₂₆	C₂²×C₄	1	1	yes	characteristic
428	C₁₃×M₁₆	—	2	2	no	—
429	C₁₃×M₁₆	—	2	2	no	—
430	C₁₃×M₁₆	—	2	2	no	—
431	C₁₃×M₁₆	—	2	2	no	—
432	C₁₃×M₁₆	—	4	2	no	—
433	C₁₃×M₁₆	—	4	2	no	—
434	C₂×C₈×C₁₃	—	4	2	no	—
435	C₂×C₈×C₁₃	—	4	2	no	—
436	C₂×C₈×C₁₃	C₂⁴	1	2	yes	—
437	C₂×C₈×C₁₃	C₂⁴	1	2	yes	—
438	C₂×C₈×C₁₃	C₂⁴	1	2	yes	—
439	C₂×C₈×C₁₃	C₂⁴	1	2	yes	—
440	C₁₃×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
441	C₁₃×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
442	C₁₃×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
443	C₁₃×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
444	C₁₃×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
445	C₁₃×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
446	C₁₃×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
447	C₁₃×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
448	C₁₃×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
449	C₁₃×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
450	C₁₃×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
451	C₁₃×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
452	C₄²×C₁₃	C₂²×C₄	1	1	yes	characteristic
453	C₄²×C₁₃	C₂²×C₄	1	1	yes	characteristic
454	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
455	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
456	C₂²⋊Dic₁₃	C₂²×C₄	1	1	yes	characteristic
457	C₂²⋊Dic₁₃	C₂²×C₄	1	1	yes	characteristic
458	C₂²⋊Dic₁₃	C₂²×C₄	1	1	yes	characteristic
459	C₂²⋊Dic₁₃	C₂²×C₄	1	1	yes	characteristic
460	C₂²⋊Dic₁₃	C₂²×C₄	1	1	yes	characteristic
461	C₂²⋊Dic₁₃	C₂²×C₄	1	1	yes	characteristic
462	C₂²⋊Dic₁₃	C₂²×C₄	1	1	yes	characteristic
463	C₂²⋊Dic₁₃	C₂²×C₄	1	1	yes	characteristic
464	C₂²⋊Dic₁₃	C₂²×C₄	1	1	yes	characteristic
465	C₂²⋊Dic₁₃	C₂²×C₄	1	1	yes	characteristic
466	C₂²⋊Dic₁₃	C₂²×C₄	1	1	yes	characteristic
467	C₂²⋊Dic₁₃	C₂²×C₄	1	1	yes	characteristic
468	C₂²⋊Dic₁₃	C₂²×C₄	1	1	yes	characteristic
469	C₂²⋊Dic₁₃	C₂²×C₄	1	1	yes	characteristic
470	C₂²⋊Dic₁₃	C₂²×C₄	1	1	yes	characteristic
471	C₂²⋊Dic₁₃	C₂²×C₄	1	1	yes	characteristic
472	#6103	C₂²×C₄	1	1	yes	characteristic
473	#6103	C₂²×C₄	1	1	yes	characteristic
474	#6103	C₂²×C₄	1	1	yes	characteristic
475	#6103	C₂²×C₄	1	1	yes	characteristic
476	#6103	C₂²×C₄	1	1	yes	characteristic
477	#6103	C₂²×C₄	1	1	yes	characteristic
478	#6103	C₂²×C₄	1	1	yes	characteristic
479	#6103	C₂²×C₄	1	1	yes	characteristic
480	#6103	C₂²×C₄	1	1	yes	characteristic
481	#6103	C₂²×C₄	1	1	yes	characteristic
482	#6103	C₂²×C₄	1	1	yes	characteristic
483	#6103	C₂²×C₄	1	1	yes	characteristic
484	#6103	C₂²×C₄	1	1	yes	characteristic
485	#6103	C₂²×C₄	1	1	yes	characteristic
486	#6103	C₂²×C₄	1	1	yes	characteristic
487	#6103	C₂²×C₄	1	1	yes	characteristic
488	C₄⋊Dic₁₃	C₂²×C₄	1	1	yes	characteristic
489	C₄⋊Dic₁₃	C₂²×C₄	1	1	yes	characteristic
490	C₄⋊Dic₁₃	C₂²×C₄	1	1	yes	characteristic
491	C₄⋊Dic₁₃	C₂²×C₄	1	1	yes	characteristic
492	C₄⋊Dic₁₃	C₂²×C₄	1	1	yes	characteristic
493	C₄⋊Dic₁₃	C₂²×C₄	1	1	yes	characteristic
494	C₄⋊Dic₁₃	C₂²×C₄	1	1	yes	characteristic
495	C₄⋊Dic₁₃	C₂²×C₄	1	1	yes	characteristic
496	C₄⋊Dic₁₃	C₂²×C₄	1	1	yes	characteristic
497	C₄⋊Dic₁₃	C₂²×C₄	1	1	yes	characteristic
498	C₄⋊Dic₁₃	C₂²×C₄	1	1	yes	characteristic
499	C₄⋊Dic₁₃	C₂²×C₄	1	1	yes	characteristic
500	#6101	C₂²×C₄	1	1	yes	characteristic
501	#6101	C₂²×C₄	1	1	yes	characteristic
502	#6101	C₂²×C₄	1	1	yes	characteristic
503	#6101	C₂²×C₄	1	1	yes	characteristic
504	#6101	C₂²×C₄	1	1	yes	characteristic
505	#6101	C₂²×C₄	1	1	yes	characteristic
506	#6101	C₂²×C₄	1	1	yes	characteristic
507	#6101	C₂²×C₄	1	1	yes	characteristic
508	#6101	C₂²×C₄	1	1	yes	characteristic
509	#6101	C₂²×C₄	1	1	yes	characteristic
510	#6101	C₂²×C₄	1	1	yes	characteristic
511	#6101	C₂²×C₄	1	1	yes	characteristic
512	#6101	C₂²×C₄	1	1	yes	characteristic
513	#6101	C₂²×C₄	1	1	yes	characteristic
514	#6101	C₂²×C₄	1	1	yes	characteristic
515	#6101	C₂²×C₄	1	1	yes	characteristic
516	#6101	C₂²×C₄	1	1	yes	characteristic
517	#6101	C₂²×C₄	1	1	yes	characteristic
518	#6101	C₂²×C₄	1	1	yes	characteristic
519	#6101	C₂²×C₄	1	1	yes	characteristic
520	#6101	C₂²×C₄	1	1	yes	characteristic
521	#6101	C₂²×C₄	1	1	yes	characteristic
522	#6101	C₂²×C₄	1	1	yes	characteristic
523	#6101	C₂²×C₄	1	1	yes	characteristic
524	C₄×Dic₁₃	C₂²×C₄	1	1	yes	characteristic
525	C₄×Dic₁₃	C₂²×C₄	1	1	yes	characteristic
526	C₄×Dic₁₃	C₂²×C₄	1	1	yes	characteristic
527	C₄×Dic₁₃	C₂²×C₄	1	1	yes	characteristic
528	C₄×Dic₁₃	C₂²×C₄	1	1	yes	characteristic
529	C₄×Dic₁₃	C₂²×C₄	1	1	yes	characteristic
530	C₄×Dic₁₃	C₂²×C₄	1	1	yes	characteristic
531	C₄×Dic₁₃	C₂²×C₄	1	1	yes	characteristic
532	C₄×Dic₁₃	C₂²×C₄	1	1	yes	characteristic
533	C₄×Dic₁₃	C₂²×C₄	1	1	yes	characteristic
534	C₄×Dic₁₃	C₂²×C₄	1	1	yes	characteristic
535	C₄×Dic₁₃	C₂²×C₄	1	1	yes	characteristic
536	C₄×Dic₁₃	C₂²×C₄	1	1	yes	characteristic
537	C₄×Dic₁₃	C₂²×C₄	1	1	yes	characteristic
538	C₄×Dic₁₃	C₂⁴	1	1	yes	characteristic
539	C₄×Dic₁₃	C₂⁴	1	1	yes	characteristic
540	C₄×Dic₁₃	C₂⁴	1	1	yes	characteristic
541	C₄×Dic₁₃	C₂⁴	1	1	yes	characteristic
542	C₄×Dic₁₃	C₂⁴	1	1	yes	characteristic
543	C₄×Dic₁₃	C₂⁴	1	1	yes	characteristic
544	#6099	—	2	2	no	—
545	#6099	—	2	2	no	—
546	#6099	—	2	2	no	—
547	#6099	—	2	2	no	—
548	#6099	—	4	2	no	—
549	#6099	—	4	2	no	—
550	C₂×#1055	—	4	2	no	—
551	C₂×#1055	—	4	2	no	—
552	C₂×#1055	C₂⁴	1	2	yes	—
553	C₂×#1055	C₂⁴	1	2	yes	—
554	C₂×#1055	C₂⁴	1	2	yes	—
555	C₂×#1055	C₂⁴	1	2	yes	—
556	#6094	—	4	2	no	—
557	#6094	—	4	2	no	—
558	C₈×D₁₃	—	4	2	no	—
559	C₈×D₁₃	—	4	2	no	—
560	C₂×#529	—	13	1	no	—
561	#2995	—	13	2	no	—
562	#2995	—	13	2	no	—
563	#2994	—	13	2	no	—
564	#2994	—	13	2	no	—
565	#2993	—	13	2	no	—
566	#2993	—	13	2	no	—
567	#2992	—	13	2	no	—
568	#2992	—	13	2	no	—
569	Q₈×M₁₆	—	13	1	no	—
570	Q₈×M₁₆	—	13	1	no	—
571	D₄×M₁₆	—	13	1	no	—
572	D₄×M₁₆	—	13	1	no	—
573	D₄×M₁₆	—	13	1	no	—
574	D₄×M₁₆	—	13	1	no	—
575	D₄×M₁₆	—	13	1	no	—
576	D₄×M₁₆	D₁₃	1	1	yes	characteristic, complemented
577	#2921	—	13	1	no	—
578	#2921	—	13	1	no	—
579	#2920	—	13	1	no	—
580	#2905	—	13	1	no	—
581	#2905	—	13	1	no	—
582	C₂×#423	—	13	1	no	—
583	C₂³×C₁₃	—	2	2	no	—
584	C₂³×C₁₃	—	2	2	no	—
585	C₂³×C₁₃	—	2	2	no	—
586	C₂³×C₁₃	—	4	1	no	—
587	C₂³×C₁₃	—	4	1	no	—
588	C₂³×C₁₃	—	4	1	no	—
589	C₂³×C₁₃	C₂³×C₄	1	1	yes	characteristic
590	C₂³×C₁₃	C₂³×C₄	1	1	yes	characteristic
591	C₂³×C₁₃	C₂³×C₄	1	1	yes	characteristic
592	C₂³×C₁₃	C₂³×C₄	1	1	yes	characteristic
593	C₂³×C₁₃	C₂³×C₄	1	1	yes	characteristic
594	C₂²×D₁₃	—	2	2	no	—
595	C₂²×D₁₃	—	4	1	no	—
596	C₂²×D₁₃	—	4	1	no	—
597	C₂²×D₁₃	C₂³×C₄	1	1	yes	characteristic
598	C₂²×D₁₃	C₂³×C₄	1	1	yes	characteristic
599	D₄×C₁₃	—	2	2	no	—
600	D₄×C₁₃	—	2	2	no	—
601	D₄×C₁₃	—	4	1	no	—
602	D₄×C₁₃	—	4	1	no	—
603	C₂×C₄×C₁₃	—	2	2	no	—
604	C₂×C₄×C₁₃	—	2	2	no	—
605	C₂×C₄×C₁₃	—	2	2	no	—
606	C₂×C₄×C₁₃	—	2	2	no	—
607	C₂×C₄×C₁₃	—	2	2	no	—
608	C₂×C₄×C₁₃	—	2	2	no	—
609	C₂×C₄×C₁₃	—	2	1	no	—
610	C₂×C₄×C₁₃	—	2	1	no	—
611	C₂×C₄×C₁₃	—	2	1	no	—
612	C₂×C₄×C₁₃	—	2	1	no	—
613	C₂×C₄×C₁₃	—	2	1	no	—
614	C₂×C₄×C₁₃	—	2	1	no	—
615	C₂×C₄×C₁₃	—	2	1	no	—
616	C₂×C₄×C₁₃	—	2	1	no	—
617	C₂×C₄×C₁₃	—	4	1	no	—
618	C₂×C₄×C₁₃	—	4	1	no	—
619	C₂×C₄×C₁₃	C₂³×C₄	1	1	yes	characteristic
620	C₂×C₄×C₁₃	C₂³×C₄	1	1	yes	characteristic
621	C₂×C₄×C₁₃	C₂³×C₄	1	1	yes	characteristic
622	C₂×C₄×C₁₃	C₂³×C₄	1	1	yes	characteristic
623	C₂×C₄×C₁₃	C₂³×C₄	1	1	yes	characteristic
624	C₂×C₄×C₁₃	C₂³×C₄	1	1	yes	characteristic
625	C₂×C₄×C₁₃	C₂³×C₄	1	1	yes	characteristic
626	C₂×C₄×C₁₃	C₂³×C₄	1	1	yes	characteristic
627	C₂×C₄×C₁₃	C₂³×C₄	1	1	yes	characteristic
628	C₂×C₄×C₁₃	H(5,𝔽₂)	1	2	yes	—
629	C₂×C₄×C₁₃	2₋¹⁺⁴	1	2	yes	—
630	C₂×C₄×C₁₃	C₂⁵	1	1	yes	characteristic
631	C₂²⋊D₁₃	—	2	2	no	—
632	C₂²⋊D₁₃	—	2	2	no	—
633	C₂²⋊D₁₃	—	2	2	no	—
634	C₂²⋊D₁₃	—	2	2	no	—
635	C₂²⋊D₁₃	—	4	1	no	—
636	C₂²⋊D₁₃	—	4	1	no	—
637	C₂²⋊D₁₃	—	4	1	no	—
638	C₂²⋊D₁₃	—	4	1	no	—
639	C₂×Dic₁₃	—	2	2	no	—
640	C₂×Dic₁₃	—	2	2	no	—
641	C₂×Dic₁₃	—	2	2	no	—
642	C₂×Dic₁₃	—	2	2	no	—
643	C₂×Dic₁₃	—	2	2	no	—
644	C₂×Dic₁₃	—	2	2	no	—
645	C₂×Dic₁₃	—	4	1	no	—
646	C₂×Dic₁₃	—	4	1	no	—
647	C₂×Dic₁₃	—	4	1	no	—
648	C₂×Dic₁₃	—	4	1	no	—
649	C₂×Dic₁₃	—	4	1	no	—
650	C₂×Dic₁₃	—	4	1	no	—
651	C₂×Dic₁₃	—	4	1	no	—
652	C₂×Dic₁₃	—	4	1	no	—
653	C₂×Dic₁₃	—	4	1	no	—
654	C₂×Dic₁₃	C₂³×C₄	1	1	yes	characteristic
655	C₂×Dic₁₃	C₂³×C₄	1	1	yes	characteristic
656	C₂×Dic₁₃	C₂³×C₄	1	1	yes	characteristic
657	C₂×Dic₁₃	C₂³×C₄	1	1	yes	characteristic
658	C₂×Dic₁₃	C₂³×C₄	1	1	yes	characteristic
659	C₂×Dic₁₃	C₂³×C₄	1	1	yes	characteristic
660	C₂×Dic₁₃	C₂³×C₄	1	1	yes	characteristic
661	C₂×Dic₁₃	C₂³×C₄	1	1	yes	characteristic
662	C₂×Dic₁₃	C₂³×C₄	1	1	yes	characteristic
663	C₂×Dic₁₃	C₂³×C₄	1	1	yes	characteristic
664	C₂×Dic₁₃	C₂³×C₄	1	1	yes	characteristic
665	C₂×Dic₁₃	C₂³×C₄	1	1	yes	characteristic
666	C₂×Dic₁₃	C₂³×C₄	1	1	yes	characteristic
667	C₂×Dic₁₃	C₂³×C₄	1	1	yes	characteristic
668	C₄×D₁₃	—	2	2	no	—
669	C₄×D₁₃	—	2	2	no	—
670	C₄×D₁₃	—	2	1	no	—
671	C₄×D₁₃	—	2	1	no	—
672	C₄×D₁₃	—	2	1	no	—
673	C₄×D₁₃	—	2	1	no	—
674	Dic₂₆	—	2	2	no	—
675	Dic₂₆	—	2	2	no	—
676	Dic₂₆	—	4	1	no	—
677	Dic₂₆	—	4	1	no	—
678	C₈×C₁₃	—	2	2	no	—
679	C₈×C₁₃	—	2	2	no	—
680	C₈×C₁₃	—	2	2	no	—
681	C₈×C₁₃	—	2	2	no	—
682	#1055	—	2	2	no	—
683	#1055	—	2	2	no	—
684	#1055	—	2	2	no	—
685	#1055	—	2	2	no	—
686	C₂²×M₁₆	—	13	1	no	—
687	C₂²×M₁₆	—	13	1	no	—
688	C₂²×M₁₆	—	13	1	no	—
689	C₂²×M₁₆	—	13	1	no	—
690	C₂²×M₁₆	C₂×D₁₃	1	1	yes	characteristic
691	C₂²×M₁₆	C₂×D₁₃	1	1	yes	characteristic
692	#529	—	13	1	no	—
693	#529	—	13	1	no	—
694	#529	—	13	1	no	—
695	#529	—	13	1	no	—
696	#529	—	13	1	no	—
697	#529	—	13	1	no	—
698	#529	—	13	1	no	—
699	#529	—	13	1	no	—
700	#529	—	13	1	no	—
701	#529	—	13	1	no	—
702	#529	—	13	1	no	—
703	#529	—	13	1	no	—
704	#529	—	13	1	no	—
705	#529	—	13	1	no	—
706	#529	—	13	1	no	—
707	#529	—	13	1	no	—
708	C₂×#126	—	13	1	no	—
709	C₂×#126	—	13	1	no	—
710	C₂×#125	—	13	1	no	—
711	C₂×#124	—	13	1	no	—
712	C₂×#123	—	13	1	no	—
713	C₂×#123	—	13	1	no	—
714	C₂×C₂²⋊Q₈	—	13	1	no	—
715	C₂×#121	—	13	1	no	—
716	C₂×C₄×Q₈	—	13	1	no	—
717	C₂×C₄×D₄	—	13	1	no	—
718	C₂×C₄×D₄	—	13	1	no	—
719	C₂×C₄×D₄	C₂×D₁₃	1	1	yes	characteristic
720	C₂×#117	—	13	1	no	—
721	C₂×#117	—	13	1	no	—
722	C₂²×C₄²	—	13	1	no	—
723	#446	—	13	2	no	—
724	#446	—	13	2	no	—
725	#446	—	13	2	no	—
726	#446	—	13	2	no	—
727	#446	—	13	2	no	—
728	#446	—	13	2	no	—
729	C₈×Q₈	—	13	2	no	—
730	C₈×Q₈	—	13	2	no	—
731	#436	—	13	2	no	—
732	#436	—	13	2	no	—
733	#436	—	13	2	no	—
734	#436	—	13	2	no	—
735	#436	—	13	2	no	—
736	#436	C₂×D₁₃	1	2	yes	complemented
737	#435	—	13	2	no	—
738	#435	—	13	2	no	—
739	#435	—	13	2	no	—
740	#435	—	13	2	no	—
741	#435	—	13	2	no	—
742	#435	—	13	2	no	—
743	#435	—	13	2	no	—
744	#435	—	13	2	no	—
745	#435	—	13	2	no	—
746	#435	—	13	2	no	—
747	#435	C₂×D₁₃	1	2	yes	complemented
748	#435	C₂×D₁₃	1	2	yes	complemented
749	C₈×D₄	—	13	2	no	—
750	C₈×D₄	—	13	2	no	—
751	C₈×D₄	—	13	2	no	—
752	C₈×D₄	—	13	2	no	—
753	C₈×D₄	—	13	2	no	—
754	C₈×D₄	C₂×D₁₃	1	2	yes	complemented
755	#433	—	13	2	no	—
756	#433	—	13	2	no	—
757	#433	—	13	2	no	—
758	#433	—	13	2	no	—
759	#433	—	13	2	no	—
760	#433	—	13	2	no	—
761	#433	—	13	2	no	—
762	#433	—	13	2	no	—
763	#432	—	13	2	no	—
764	#432	—	13	2	no	—
765	#431	—	13	2	no	—
766	#431	—	13	2	no	—
767	#424	—	13	2	no	—
768	#424	—	13	2	no	—
769	#424	—	13	2	no	—
770	#424	—	13	2	no	—
771	#424	—	13	2	no	—
772	#424	—	13	2	no	—
773	#424	—	13	2	no	—
774	#424	—	13	2	no	—
775	#423	—	13	1	no	—
776	#423	—	13	1	no	—
777	#423	—	13	1	no	—
778	#423	—	13	1	no	—
779	#423	—	13	2	no	—
780	#423	—	13	2	no	—
781	#423	—	13	1	no	—
782	#423	—	13	1	no	—
783	#423	—	13	1	no	—
784	#423	—	13	1	no	—
785	#423	—	13	1	no	—
786	#423	C₂×D₁₃	1	1	yes	characteristic
787	C₂×C₄⋊C₈	—	13	2	no	—
788	C₂×C₄⋊C₈	—	13	2	no	—
789	#407	—	13	1	no	—
790	#407	—	13	1	no	—
791	#407	—	13	1	no	—
792	#407	—	13	1	no	—
793	#407	C₂×D₁₃	1	1	yes	characteristic
794	#407	C₂×D₁₃	1	1	yes	characteristic
795	C₄×M₁₆	—	13	1	no	—
796	C₄×M₁₆	—	13	1	no	—
797	C₄×M₁₆	—	13	1	no	—
798	C₄×M₁₆	—	13	1	no	—
799	C₄×M₁₆	—	13	1	no	—
800	C₄×M₁₆	C₂×D₁₃	1	1	yes	characteristic
801	C₂²×C₁₃	—	2	1	no	—
802	C₂²×C₁₃	—	2	1	no	—
803	C₂²×C₁₃	—	2	1	no	—
804	C₂²×C₁₃	—	2	1	no	—
805	C₂²×C₁₃	—	2	1	no	—
806	C₂²×C₁₃	—	2	1	no	—
807	C₂²×C₁₃	—	2	1	no	—
808	C₂²×C₁₃	—	2	1	no	—
809	C₂²×C₁₃	—	2	1	no	—
810	C₂²×C₁₃	—	2	1	no	—
811	C₂²×C₁₃	—	2	1	no	—
812	C₂²×C₁₃	—	2	1	no	—
813	C₂²×C₁₃	—	2	1	no	—
814	C₂²×C₁₃	—	4	4	no	—
815	C₂²×C₁₃	—	8	2	no	—
816	C₂²×C₁₃	#520	1	2	yes	—
817	C₂²×C₁₃	#568	1	2	yes	—
818	C₂²×C₁₃	C₂⁴×C₄	1	1	yes	characteristic
819	C₂×D₁₃	—	2	1	no	—
820	C₂×D₁₃	—	2	1	no	—
821	C₂×D₁₃	—	2	1	no	—
822	C₂×D₁₃	—	2	1	no	—
823	C₂×D₁₃	—	2	1	no	—
824	C₂×D₁₃	—	2	1	no	—
825	C₂×D₁₃	—	8	2	no	—
826	C₄×C₁₃	—	2	1	no	—
827	C₄×C₁₃	—	2	1	no	—
828	C₄×C₁₃	—	2	1	no	—
829	C₄×C₁₃	—	2	1	no	—
830	C₄×C₁₃	—	2	1	no	—
831	C₄×C₁₃	—	2	1	no	—
832	C₄×C₁₃	—	2	1	no	—
833	C₄×C₁₃	—	2	1	no	—
834	C₄×C₁₃	#520	1	2	yes	—
835	C₄×C₁₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
836	C₄×C₁₃	C₂×2₋¹⁺⁴	1	1	yes	characteristic
837	Dic₁₃	—	2	1	no	—
838	Dic₁₃	—	2	1	no	—
839	Dic₁₃	—	2	1	no	—
840	Dic₁₃	—	2	1	no	—
841	Dic₁₃	—	2	1	no	—
842	Dic₁₃	—	2	1	no	—
843	Dic₁₃	—	2	1	no	—
844	Dic₁₃	—	2	1	no	—
845	Dic₁₃	—	2	1	no	—
846	Dic₁₃	—	2	1	no	—
847	Dic₁₃	—	2	1	no	—
848	Dic₁₃	—	2	1	no	—
849	Dic₁₃	—	2	1	no	—
850	Dic₁₃	#568	1	2	yes	—
851	C₂²×Q₈	—	13	1	no	—
852	C₂²×D₄	—	13	1	no	—
853	C₂²×D₄	—	13	1	no	—
854	C₂²×D₄	C₄×D₁₃	1	1	yes	characteristic
855	C₂³×C₄	—	13	1	no	—
856	C₂³×C₄	—	13	1	no	—
857	C₂³×C₄	—	13	1	no	—
858	C₂³×C₄	C₂²×D₁₃	1	1	yes	characteristic
859	C₂³×C₄	C₂²×D₁₃	1	1	yes	characteristic
860	C₂×M₁₆	—	4	2	no	—
861	C₂×M₁₆	—	4	2	no	—
862	C₂×M₁₆	—	13	1	no	—
863	C₂×M₁₆	—	13	1	no	—
864	C₂×M₁₆	—	13	1	no	—
865	C₂×M₁₆	—	13	1	no	—
866	C₂×M₁₆	—	13	2	no	—
867	C₂×M₁₆	—	13	2	no	—
868	C₂×M₁₆	—	13	2	no	—
869	C₂×M₁₆	—	13	2	no	—
870	C₂×M₁₆	—	52	2	no	—
871	C₂×M₁₆	—	52	2	no	—
872	C₂×M₁₆	—	52	2	no	—
873	C₂×M₁₆	—	52	2	no	—
874	C₂×M₁₆	C₂²×D₁₃	1	1	yes	characteristic
875	C₂×M₁₆	C₂²×D₁₃	1	1	yes	characteristic
876	C₂×M₁₆	C₂²×D₁₃	1	1	yes	characteristic
877	C₂×M₁₆	C₂²×D₁₃	1	1	yes	characteristic
878	C₂×M₁₆	C₂²×D₁₃	1	2	yes	—
879	C₂×M₁₆	C₂²×D₁₃	1	2	yes	—
880	C₂²×C₈	—	13	2	no	—
881	C₂²×C₈	—	13	2	no	—
882	C₂²×C₈	—	13	2	no	—
883	C₂²×C₈	—	13	2	no	—
884	C₂²×C₈	C₂²×D₁₃	1	2	yes	—
885	C₂²×C₈	C₂²×D₁₃	1	2	yes	—
886	#126	—	13	1	no	—
887	#126	—	13	1	no	—
888	#126	—	13	1	no	—
889	#126	—	13	1	no	—
890	#126	—	13	1	no	—
891	#126	—	13	1	no	—
892	#126	—	13	1	no	—
893	#126	—	13	1	no	—
894	#126	—	13	1	no	—
895	#126	—	13	1	no	—
896	#126	—	13	1	no	—
897	#126	—	13	1	no	—
898	#126	—	13	1	no	—
899	#126	—	13	1	no	—
900	#126	—	13	1	no	—
901	#126	—	13	1	no	—
902	#125	—	13	1	no	—
903	#125	—	13	1	no	—
904	#125	—	13	1	no	—
905	#125	—	13	1	no	—
906	#125	—	13	1	no	—
907	#125	—	13	1	no	—
908	#125	—	13	1	no	—
909	#125	—	13	1	no	—
910	#124	—	13	1	no	—
911	#124	—	13	1	no	—
912	#124	—	13	1	no	—
913	#124	—	13	1	no	—
914	#124	—	13	1	no	—
915	#124	—	13	1	no	—
916	#124	—	13	1	no	—
917	#124	—	13	1	no	—
918	#123	—	13	1	no	—
919	#123	—	13	1	no	—
920	#123	—	13	1	no	—
921	#123	—	13	1	no	—
922	#123	—	13	1	no	—
923	#123	—	13	1	no	—
924	#123	—	13	1	no	—
925	#123	—	13	1	no	—
926	#123	—	13	1	no	—
927	#123	—	13	1	no	—
928	#123	—	13	1	no	—
929	#123	—	13	1	no	—
930	#123	—	13	1	no	—
931	#123	—	13	1	no	—
932	#123	—	13	1	no	—
933	#123	—	13	1	no	—
934	C₂²⋊Q₈	—	13	1	no	—
935	C₂²⋊Q₈	—	13	1	no	—
936	C₂²⋊Q₈	—	13	1	no	—
937	C₂²⋊Q₈	—	13	1	no	—
938	C₂²⋊Q₈	—	13	1	no	—
939	C₂²⋊Q₈	—	13	1	no	—
940	C₂²⋊Q₈	—	13	1	no	—
941	C₂²⋊Q₈	—	13	1	no	—
942	#121	—	13	1	no	—
943	#121	—	13	1	no	—
944	#121	—	13	1	no	—
945	#121	—	13	1	no	—
946	#121	—	13	1	no	—
947	#121	—	13	1	no	—
948	#121	—	13	1	no	—
949	#121	—	13	1	no	—
950	C₄×Q₈	—	13	1	no	—
951	C₄×Q₈	—	13	1	no	—
952	C₄×Q₈	—	13	1	no	—
953	C₄×Q₈	—	13	1	no	—
954	C₄×Q₈	—	13	1	no	—
955	C₄×Q₈	—	13	1	no	—
956	C₄×Q₈	—	13	1	no	—
957	C₄×Q₈	—	13	1	no	—
958	C₄×D₄	—	13	1	no	—
959	C₄×D₄	—	13	1	no	—
960	C₄×D₄	—	13	1	no	—
961	C₄×D₄	—	13	1	no	—
962	C₄×D₄	—	13	1	no	—
963	C₄×D₄	—	13	1	no	—
964	C₄×D₄	—	13	1	no	—
965	C₄×D₄	—	13	1	no	—
966	C₄×D₄	—	13	1	no	—
967	C₄×D₄	—	13	1	no	—
968	C₄×D₄	—	13	1	no	—
969	C₄×D₄	—	13	1	no	—
970	C₄×D₄	—	13	1	no	—
971	C₄×D₄	—	13	1	no	—
972	C₄×D₄	—	13	1	no	—
973	C₄×D₄	—	13	1	no	—
974	C₄×D₄	C₄×D₁₃	1	1	yes	characteristic
975	C₄×D₄	C₄×D₁₃	1	1	yes	characteristic
976	C₄×D₄	C₄×D₁₃	1	1	yes	characteristic
977	C₄×D₄	C₄×D₁₃	1	1	yes	characteristic
978	C₄×D₄	C₂²×D₁₃	1	1	yes	characteristic
979	C₄×D₄	C₂²×D₁₃	1	1	yes	characteristic
980	C₄×D₄	C₂²×D₁₃	1	1	yes	characteristic
981	C₄×D₄	C₂²×D₁₃	1	1	yes	characteristic
982	#117	—	13	1	no	—
983	#117	—	13	1	no	—
984	#117	—	13	1	no	—
985	#117	—	13	1	no	—
986	#117	—	13	1	no	—
987	#117	—	13	1	no	—
988	#117	—	13	1	no	—
989	#117	—	13	1	no	—
990	#117	—	13	1	no	—
991	#117	—	13	1	no	—
992	#117	—	13	1	no	—
993	#117	—	13	1	no	—
994	#117	—	13	1	no	—
995	#117	—	13	1	no	—
996	#117	—	13	1	no	—
997	#117	—	13	1	no	—
998	C₂×C₄⋊C₄	—	13	1	no	—
999	C₂×C₄⋊C₄	—	13	1	no	—
1000	C₂×C₄⋊C₄	—	13	1	no	—
1001	C₂×C₄⋊C₄	—	13	1	no	—
1002	C₂×C₄⋊C₄	—	13	1	no	—
1003	C₂×C₄⋊C₄	—	13	1	no	—
1004	C₂×C₄⋊C₄	—	13	1	no	—
1005	C₂×C₄⋊C₄	—	13	1	no	—
1006	C₂×C₄⋊C₄	—	13	1	no	—
1007	C₂×C₄⋊C₄	C₄×D₁₃	1	1	yes	characteristic
1008	C₂×C₂²⋊C₄	—	13	1	no	—
1009	C₂×C₂²⋊C₄	—	13	1	no	—
1010	C₂×C₂²⋊C₄	—	13	1	no	—
1011	C₂×C₂²⋊C₄	—	13	1	no	—
1012	C₂×C₂²⋊C₄	—	13	1	no	—
1013	C₂×C₂²⋊C₄	—	13	1	no	—
1014	C₂×C₂²⋊C₄	—	13	1	no	—
1015	C₂×C₂²⋊C₄	—	13	1	no	—
1016	C₂×C₂²⋊C₄	C₄×D₁₃	1	1	yes	characteristic
1017	C₂×C₂²⋊C₄	C₄×D₁₃	1	1	yes	characteristic
1018	C₂×C₄²	—	13	1	no	—
1019	C₂×C₄²	—	13	1	no	—
1020	C₂×C₄²	—	13	1	no	—
1021	C₂×C₄²	—	13	1	no	—
1022	C₂×C₄²	—	13	1	no	—
1023	C₂×C₄²	—	13	1	no	—
1024	C₂×C₄²	—	13	1	no	—
1025	C₂×C₄²	—	13	1	no	—
1026	C₂×C₄²	—	13	1	no	—
1027	C₂×C₄²	—	13	1	no	—
1028	C₂×C₄²	—	13	1	no	—
1029	C₂×C₄²	—	13	1	no	—
1030	C₂×C₄²	—	13	1	no	—
1031	C₂×C₄²	C₂²×D₁₃	1	1	yes	characteristic
1032	C₄⋊C₈	—	13	2	no	—
1033	C₄⋊C₈	—	13	2	no	—
1034	C₄⋊C₈	—	13	2	no	—
1035	C₄⋊C₈	—	13	2	no	—
1036	C₄⋊C₈	—	13	2	no	—
1037	C₄⋊C₈	—	13	2	no	—
1038	C₄⋊C₈	—	13	2	no	—
1039	C₄⋊C₈	—	13	2	no	—
1040	C₄⋊C₈	—	13	2	no	—
1041	C₄⋊C₈	—	13	2	no	—
1042	C₄⋊C₈	—	13	2	no	—
1043	C₄⋊C₈	—	13	2	no	—
1044	C₄⋊C₈	—	13	2	no	—
1045	C₄⋊C₈	—	13	2	no	—
1046	C₄⋊C₈	—	13	2	no	—
1047	C₄⋊C₈	—	13	2	no	—
1048	C₄⋊C₈	—	13	2	no	—
1049	C₄⋊C₈	—	13	2	no	—
1050	C₄⋊C₈	C₂²×D₁₃	1	2	yes	—
1051	C₄⋊C₈	C₂²×D₁₃	1	2	yes	—
1052	C₂²⋊C₈	—	13	2	no	—
1053	C₂²⋊C₈	—	13	2	no	—
1054	C₂²⋊C₈	—	13	2	no	—
1055	C₂²⋊C₈	—	13	2	no	—
1056	C₂²⋊C₈	—	13	2	no	—
1057	C₂²⋊C₈	—	13	2	no	—
1058	C₂²⋊C₈	—	13	2	no	—
1059	C₂²⋊C₈	—	13	2	no	—
1060	C₂²⋊C₈	C₂²×D₁₃	1	2	yes	—
1061	C₂²⋊C₈	C₂²×D₁₃	1	2	yes	—
1062	C₂²⋊C₈	C₂²×D₁₃	1	2	yes	—
1063	C₂²⋊C₈	C₂²×D₁₃	1	2	yes	—
1064	#97	—	13	2	no	—
1065	#97	—	13	2	no	—
1066	#97	—	13	2	no	—
1067	#97	—	13	2	no	—
1068	#97	—	13	2	no	—
1069	#97	C₂²×D₁₃	1	2	yes	—
1070	C₄×C₈	—	13	2	no	—
1071	C₄×C₈	—	13	2	no	—
1072	C₄×C₈	—	13	2	no	—
1073	C₄×C₈	—	13	2	no	—
1074	C₄×C₈	—	13	2	no	—
1075	C₄×C₈	C₂²×D₁₃	1	2	yes	—
1076	C₂×C₁₃	—	2	2	no	—
1077	C₂×C₁₃	—	2	2	no	—
1078	C₂×C₁₃	—	4	1	no	—
1079	C₂×C₁₃	—	4	1	no	—
1080	C₂×C₁₃	—	4	1	no	—
1081	C₂×C₁₃	C₂×#520	1	1	yes	characteristic
1082	C₂×C₁₃	C₂×#568	1	1	yes	characteristic
1083	C₂×C₁₃	C₂×#568	1	1	yes	characteristic
1084	D₁₃	—	4	1	no	—
1085	D₁₃	—	4	1	no	—
1086	C₂⁴	—	13	1	no	—
1087	C₂⁴	C₂×C₄×D₁₃	1	1	yes	characteristic
1088	C₂⁴	C₂×C₄×D₁₃	1	1	yes	characteristic
1089	C₂×Q₈	—	13	1	no	—
1090	C₂×Q₈	—	13	1	no	—
1091	C₂×Q₈	—	13	1	no	—
1092	C₂×Q₈	—	13	1	no	—
1093	C₂×Q₈	—	52	2	no	—
1094	C₂×D₄	—	4	2	no	—
1095	C₂×D₄	—	13	1	no	—
1096	C₂×D₄	—	13	1	no	—
1097	C₂×D₄	—	13	1	no	—
1098	C₂×D₄	—	13	1	no	—
1099	C₂×D₄	—	13	1	no	—
1100	C₂×D₄	—	13	1	no	—
1101	C₂×D₄	—	13	1	no	—
1102	C₂×D₄	—	13	1	no	—
1103	C₂×D₄	—	52	2	no	—
1104	C₂×D₄	—	52	2	no	—
1105	C₂×D₄	C₂×C₄×D₁₃	1	1	yes	characteristic
1106	C₂×D₄	C₂×C₄×D₁₃	1	1	yes	characteristic
1107	C₂×D₄	C₂×C₄×D₁₃	1	1	yes	characteristic
1108	C₂×D₄	C₂×C₄×D₁₃	1	1	yes	characteristic
1109	C₂²×C₄	—	2	2	no	—
1110	C₂²×C₄	—	2	2	no	—
1111	C₂²×C₄	—	2	2	no	—
1112	C₂²×C₄	—	2	2	no	—
1113	C₂²×C₄	—	13	1	no	—
1114	C₂²×C₄	—	13	1	no	—
1115	C₂²×C₄	—	13	1	no	—
1116	C₂²×C₄	—	13	1	no	—
1117	C₂²×C₄	—	13	1	no	—
1118	C₂²×C₄	—	13	1	no	—
1119	C₂²×C₄	—	13	1	no	—
1120	C₂²×C₄	—	13	1	no	—
1121	C₂²×C₄	—	13	1	no	—
1122	C₂²×C₄	—	13	1	no	—
1123	C₂²×C₄	—	13	1	no	—
1124	C₂²×C₄	—	13	1	no	—
1125	C₂²×C₄	—	13	1	no	—
1126	C₂²×C₄	—	13	1	no	—
1127	C₂²×C₄	—	13	1	no	—
1128	C₂²×C₄	—	13	1	no	—
1129	C₂²×C₄	—	13	1	no	—
1130	C₂²×C₄	—	13	1	no	—
1131	C₂²×C₄	—	13	1	no	—
1132	C₂²×C₄	—	26	2	no	—
1133	C₂²×C₄	—	26	2	no	—
1134	C₂²×C₄	—	52	2	no	—
1135	C₂²×C₄	—	52	2	no	—
1136	C₂²×C₄	C₂×C₄×D₁₃	1	1	yes	characteristic
1137	C₂²×C₄	C₂×C₄×D₁₃	1	1	yes	characteristic
1138	C₂²×C₄	C₂×C₄×D₁₃	1	1	yes	characteristic
1139	C₂²×C₄	C₂×C₄×D₁₃	1	1	yes	characteristic
1140	C₂²×C₄	C₂×C₄×D₁₃	1	1	yes	characteristic
1141	C₂²×C₄	C₂×C₄×D₁₃	1	1	yes	characteristic
1142	C₂²×C₄	C₂×C₄×D₁₃	1	1	yes	characteristic
1143	C₂²×C₄	C₂×C₄×D₁₃	1	1	yes	characteristic
1144	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1145	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1146	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1147	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1148	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1149	M₁₆	—	2	2	no	—
1150	M₁₆	—	2	2	no	—
1151	M₁₆	—	2	2	no	—
1152	M₁₆	—	2	2	no	—
1153	M₁₆	—	4	2	no	—
1154	M₁₆	—	4	2	no	—
1155	M₁₆	—	26	2	no	—
1156	M₁₆	—	26	2	no	—
1157	M₁₆	—	26	2	no	—
1158	M₁₆	—	26	2	no	—
1159	M₁₆	—	52	2	no	—
1160	M₁₆	—	52	2	no	—
1161	M₁₆	—	52	2	no	—
1162	M₁₆	—	52	2	no	—
1163	C₂×C₈	—	4	2	no	—
1164	C₂×C₈	—	4	2	no	—
1165	C₂×C₈	—	13	2	no	—
1166	C₂×C₈	—	13	2	no	—
1167	C₂×C₈	—	13	2	no	—
1168	C₂×C₈	—	13	2	no	—
1169	C₂×C₈	—	52	2	no	—
1170	C₂×C₈	—	52	2	no	—
1171	C₂×C₈	—	52	2	no	—
1172	C₂×C₈	—	52	2	no	—
1173	C₂×C₈	C₂³×D₁₃	1	2	yes	—
1174	C₂×C₈	C₂³×D₁₃	1	2	yes	—
1175	C₂×C₈	C₂³×D₁₃	1	2	yes	—
1176	C₂×C₈	C₂³×D₁₃	1	2	yes	—
1177	C₄⋊C₄	—	13	1	no	—
1178	C₄⋊C₄	—	13	1	no	—
1179	C₄⋊C₄	—	13	1	no	—
1180	C₄⋊C₄	—	13	1	no	—
1181	C₄⋊C₄	—	13	1	no	—
1182	C₄⋊C₄	—	13	1	no	—
1183	C₄⋊C₄	—	13	1	no	—
1184	C₄⋊C₄	—	13	1	no	—
1185	C₄⋊C₄	—	13	1	no	—
1186	C₄⋊C₄	—	13	1	no	—
1187	C₄⋊C₄	—	13	1	no	—
1188	C₄⋊C₄	—	13	1	no	—
1189	C₄⋊C₄	—	13	1	no	—
1190	C₄⋊C₄	—	13	1	no	—
1191	C₄⋊C₄	—	13	1	no	—
1192	C₄⋊C₄	—	13	1	no	—
1193	C₄⋊C₄	—	13	1	no	—
1194	C₄⋊C₄	—	13	1	no	—
1195	C₄⋊C₄	—	13	1	no	—
1196	C₄⋊C₄	—	13	1	no	—
1197	C₄⋊C₄	—	13	1	no	—
1198	C₄⋊C₄	—	13	1	no	—
1199	C₄⋊C₄	—	13	1	no	—
1200	C₄⋊C₄	—	13	1	no	—
1201	C₄⋊C₄	—	13	1	no	—
1202	C₄⋊C₄	—	13	1	no	—
1203	C₄⋊C₄	—	13	1	no	—
1204	C₄⋊C₄	—	13	1	no	—
1205	C₄⋊C₄	—	13	1	no	—
1206	C₄⋊C₄	—	13	1	no	—
1207	C₄⋊C₄	—	13	1	no	—
1208	C₄⋊C₄	—	13	1	no	—
1209	C₄⋊C₄	—	13	1	no	—
1210	C₄⋊C₄	—	13	1	no	—
1211	C₄⋊C₄	—	13	1	no	—
1212	C₄⋊C₄	—	13	1	no	—
1213	C₄⋊C₄	C₂×C₄×D₁₃	1	1	yes	characteristic
1214	C₄⋊C₄	C₂×C₄×D₁₃	1	1	yes	characteristic
1215	C₄⋊C₄	C₂×C₄×D₁₃	1	1	yes	characteristic
1216	C₄⋊C₄	C₂×C₄×D₁₃	1	1	yes	characteristic
1217	C₂²⋊C₄	—	13	1	no	—
1218	C₂²⋊C₄	—	13	1	no	—
1219	C₂²⋊C₄	—	13	1	no	—
1220	C₂²⋊C₄	—	13	1	no	—
1221	C₂²⋊C₄	—	13	1	no	—
1222	C₂²⋊C₄	—	13	1	no	—
1223	C₂²⋊C₄	—	13	1	no	—
1224	C₂²⋊C₄	—	13	1	no	—
1225	C₂²⋊C₄	—	13	1	no	—
1226	C₂²⋊C₄	—	13	1	no	—
1227	C₂²⋊C₄	—	13	1	no	—
1228	C₂²⋊C₄	—	13	1	no	—
1229	C₂²⋊C₄	—	13	1	no	—
1230	C₂²⋊C₄	—	13	1	no	—
1231	C₂²⋊C₄	—	13	1	no	—
1232	C₂²⋊C₄	—	13	1	no	—
1233	C₂²⋊C₄	—	13	1	no	—
1234	C₂²⋊C₄	—	13	1	no	—
1235	C₂²⋊C₄	—	13	1	no	—
1236	C₂²⋊C₄	—	13	1	no	—
1237	C₂²⋊C₄	—	13	1	no	—
1238	C₂²⋊C₄	—	13	1	no	—
1239	C₂²⋊C₄	—	13	1	no	—
1240	C₂²⋊C₄	—	13	1	no	—
1241	C₂²⋊C₄	—	13	1	no	—
1242	C₂²⋊C₄	—	13	1	no	—
1243	C₂²⋊C₄	—	13	1	no	—
1244	C₂²⋊C₄	—	13	1	no	—
1245	C₂²⋊C₄	—	13	1	no	—
1246	C₂²⋊C₄	—	13	1	no	—
1247	C₂²⋊C₄	—	13	1	no	—
1248	C₂²⋊C₄	—	13	1	no	—
1249	C₂²⋊C₄	C₂×C₄×D₁₃	1	1	yes	characteristic
1250	C₂²⋊C₄	C₂×C₄×D₁₃	1	1	yes	characteristic
1251	C₂²⋊C₄	C₂×C₄×D₁₃	1	1	yes	characteristic
1252	C₂²⋊C₄	C₂×C₄×D₁₃	1	1	yes	characteristic
1253	C₂²⋊C₄	C₂×C₄×D₁₃	1	1	yes	characteristic
1254	C₂²⋊C₄	C₂×C₄×D₁₃	1	1	yes	characteristic
1255	C₂²⋊C₄	C₂×C₄×D₁₃	1	1	yes	characteristic
1256	C₂²⋊C₄	C₂×C₄×D₁₃	1	1	yes	characteristic
1257	C₄²	—	13	1	no	—
1258	C₄²	—	13	1	no	—
1259	C₄²	—	13	1	no	—
1260	C₄²	—	13	1	no	—
1261	C₄²	—	13	1	no	—
1262	C₄²	—	13	1	no	—
1263	C₄²	—	13	1	no	—
1264	C₄²	—	13	1	no	—
1265	C₄²	—	13	1	no	—
1266	C₄²	—	13	1	no	—
1267	C₄²	—	13	1	no	—
1268	C₄²	—	13	1	no	—
1269	C₄²	—	13	1	no	—
1270	C₄²	—	13	1	no	—
1271	C₄²	—	13	1	no	—
1272	C₄²	—	13	1	no	—
1273	C₄²	—	13	1	no	—
1274	C₄²	—	13	1	no	—
1275	C₄²	—	13	1	no	—
1276	C₄²	—	13	1	no	—
1277	C₄²	C₂×C₄×D₁₃	1	1	yes	characteristic
1278	C₄²	C₂×C₄×D₁₃	1	1	yes	characteristic
1279	C₄²	C₂³×D₁₃	1	1	yes	characteristic
1280	C₄²	C₂³×D₁₃	1	1	yes	characteristic
1281	C₁₃	#60264	1	1	yes	characteristic, complemented, Sylow
1282	C₂³	—	2	2	no	—
1283	C₂³	—	2	2	no	—
1284	C₂³	—	2	2	no	—
1285	C₂³	—	4	1	no	—
1286	C₂³	—	4	1	no	—
1287	C₂³	—	4	1	no	—
1288	C₂³	—	13	1	no	—
1289	C₂³	—	13	1	no	—
1290	C₂³	—	26	2	no	—
1291	C₂³	—	52	1	no	—
1292	C₂³	—	52	1	no	—
1293	C₂³	C₂²×C₄×D₁₃	1	1	yes	characteristic
1294	C₂³	C₂²×C₄×D₁₃	1	1	yes	characteristic
1295	C₂³	C₂²×C₄×D₁₃	1	1	yes	characteristic
1296	C₂³	C₂²×C₄×D₁₃	1	1	yes	characteristic
1297	C₂³	C₂²×C₄×D₁₃	1	1	yes	characteristic
1298	Q₈	—	26	2	no	—
1299	Q₈	—	26	2	no	—
1300	Q₈	—	52	1	no	—
1301	Q₈	—	52	1	no	—
1302	D₄	—	2	2	no	—
1303	D₄	—	2	2	no	—
1304	D₄	—	4	1	no	—
1305	D₄	—	4	1	no	—
1306	D₄	—	26	2	no	—
1307	D₄	—	26	2	no	—
1308	D₄	—	26	2	no	—
1309	D₄	—	26	2	no	—
1310	D₄	—	52	1	no	—
1311	D₄	—	52	1	no	—
1312	D₄	—	52	1	no	—
1313	D₄	—	52	1	no	—
1314	C₂×C₄	—	2	2	no	—
1315	C₂×C₄	—	2	2	no	—
1316	C₂×C₄	—	2	2	no	—
1317	C₂×C₄	—	2	2	no	—
1318	C₂×C₄	—	2	2	no	—
1319	C₂×C₄	—	2	2	no	—
1320	C₂×C₄	—	2	1	no	—
1321	C₂×C₄	—	2	1	no	—
1322	C₂×C₄	—	2	1	no	—
1323	C₂×C₄	—	2	1	no	—
1324	C₂×C₄	—	2	1	no	—
1325	C₂×C₄	—	2	1	no	—
1326	C₂×C₄	—	2	1	no	—
1327	C₂×C₄	—	2	1	no	—
1328	C₂×C₄	—	4	1	no	—
1329	C₂×C₄	—	4	1	no	—
1330	C₂×C₄	—	13	1	no	—
1331	C₂×C₄	—	13	1	no	—
1332	C₂×C₄	—	13	1	no	—
1333	C₂×C₄	—	13	1	no	—
1334	C₂×C₄	—	13	1	no	—
1335	C₂×C₄	—	13	1	no	—
1336	C₂×C₄	—	13	1	no	—
1337	C₂×C₄	—	13	1	no	—
1338	C₂×C₄	—	13	1	no	—
1339	C₂×C₄	—	13	1	no	—
1340	C₂×C₄	—	13	1	no	—
1341	C₂×C₄	—	13	1	no	—
1342	C₂×C₄	—	13	1	no	—
1343	C₂×C₄	—	13	1	no	—
1344	C₂×C₄	—	26	2	no	—
1345	C₂×C₄	—	26	2	no	—
1346	C₂×C₄	—	26	2	no	—
1347	C₂×C₄	—	26	2	no	—
1348	C₂×C₄	—	26	2	no	—
1349	C₂×C₄	—	26	2	no	—
1350	C₂×C₄	—	26	2	no	—
1351	C₂×C₄	—	26	2	no	—
1352	C₂×C₄	—	26	1	no	—
1353	C₂×C₄	—	26	1	no	—
1354	C₂×C₄	—	26	1	no	—
1355	C₂×C₄	—	26	1	no	—
1356	C₂×C₄	—	52	1	no	—
1357	C₂×C₄	—	52	1	no	—
1358	C₂×C₄	—	52	1	no	—
1359	C₂×C₄	—	52	1	no	—
1360	C₂×C₄	—	52	1	no	—
1361	C₂×C₄	—	52	1	no	—
1362	C₂×C₄	—	52	1	no	—
1363	C₂×C₄	—	52	1	no	—
1364	C₂×C₄	—	52	1	no	—
1365	C₂×C₄	C₂²×C₄×D₁₃	1	1	yes	characteristic
1366	C₂×C₄	C₂²×C₄×D₁₃	1	1	yes	characteristic
1367	C₂×C₄	C₂²×C₄×D₁₃	1	1	yes	characteristic
1368	C₂×C₄	C₂²×C₄×D₁₃	1	1	yes	characteristic
1369	C₂×C₄	C₂²×C₄×D₁₃	1	1	yes	characteristic
1370	C₂×C₄	C₂²×C₄×D₁₃	1	1	yes	characteristic
1371	C₂×C₄	C₂²×C₄×D₁₃	1	1	yes	characteristic
1372	C₂×C₄	C₂²×C₄×D₁₃	1	1	yes	characteristic
1373	C₂×C₄	C₂²×C₄×D₁₃	1	1	yes	characteristic
1374	C₂×C₄	#88251	1	2	yes	—
1375	C₂×C₄	#88257	1	2	yes	—
1376	C₂×C₄	C₂⁴×D₁₃	1	1	yes	characteristic
1377	C₈	—	2	2	no	—
1378	C₈	—	2	2	no	—
1379	C₈	—	2	2	no	—
1380	C₈	—	2	2	no	—
1381	C₈	—	26	2	no	—
1382	C₈	—	26	2	no	—
1383	C₈	—	26	2	no	—
1384	C₈	—	26	2	no	—
1385	C₂²	—	2	1	no	—
1386	C₂²	—	2	1	no	—
1387	C₂²	—	2	1	no	—
1388	C₂²	—	2	1	no	—
1389	C₂²	—	2	1	no	—
1390	C₂²	—	2	1	no	—
1391	C₂²	—	2	1	no	—
1392	C₂²	—	2	1	no	—
1393	C₂²	—	2	1	no	—
1394	C₂²	—	2	1	no	—
1395	C₂²	—	2	1	no	—
1396	C₂²	—	2	1	no	—
1397	C₂²	—	2	1	no	—
1398	C₂²	—	4	4	no	—
1399	C₂²	—	8	2	no	—
1400	C₂²	—	26	1	no	—
1401	C₂²	—	26	1	no	—
1402	C₂²	—	26	1	no	—
1403	C₂²	—	26	1	no	—
1404	C₂²	—	26	1	no	—
1405	C₂²	—	26	1	no	—
1406	C₂²	—	104	2	no	—
1407	C₂²	#11719251	1	2	yes	—
1408	C₂²	#11719450	1	2	yes	—
1409	C₂²	C₂³×C₄×D₁₃	1	1	yes	characteristic
1410	C₄	—	2	1	no	—
1411	C₄	—	2	1	no	—
1412	C₄	—	2	1	no	—
1413	C₄	—	2	1	no	—
1414	C₄	—	2	1	no	—
1415	C₄	—	2	1	no	—
1416	C₄	—	2	1	no	—
1417	C₄	—	2	1	no	—
1418	C₄	—	13	2	no	—
1419	C₄	—	26	1	no	—
1420	C₄	—	26	1	no	—
1421	C₄	—	26	1	no	—
1422	C₄	—	26	1	no	—
1423	C₄	—	26	1	no	—
1424	C₄	—	26	1	no	—
1425	C₄	—	26	1	no	—
1426	C₄	—	26	1	no	—
1427	C₄	—	26	1	no	—
1428	C₄	—	26	1	no	—
1429	C₄	—	26	1	no	—
1430	C₄	—	26	1	no	—
1431	C₄	—	26	1	no	—
1432	C₄	#11719251	1	2	yes	—
1433	C₄	C₂×#88251	1	1	yes	characteristic
1434	C₄	C₂×#88257	1	1	yes	characteristic
1435	C₂	—	2	2	no	—
1436	C₂	—	2	2	no	—
1437	C₂	—	4	1	no	—
1438	C₂	—	4	1	no	—
1439	C₂	—	4	1	no	—
1440	C₂	—	52	1	no	—
1441	C₂	—	52	1	no	—
1442	C₂	C₂×#11719251	1	1	yes	characteristic
1443	C₂	D₁₃×#568	1	1	yes	characteristic
1444	C₂	C₂×#11719450	1	1	yes	characteristic

	subgroup	G/H
center, Frattini	C₂×C₄	C₂⁴×D₁₃
commutator, socle	C₂²×C₁₃	C₂⁴×C₄
Fitting	D₄×C₁₃×M₁₆	C₂
prime radical	C₂×#88193	C₄
cosocle	C₂×C₄×C₁₃	C₂⁵
hypercenter	D₄×M₁₆	D₁₃
hypocenter	C₁₃	#60264
LCS	G ▷ C₂²×C₁₃ ▷ C₁₃
UCS	C₁ ◁ C₂×C₄ ◁ D₄×M₁₆

Complements

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

N	H ≅ G/N	type
2. #13124007	C₂	semidirect
3. #13124000	C₂	semidirect
4. #13123993	C₂	semidirect
5. #13123989	C₂	semidirect
6. #13123982	C₂	semidirect
7. #13123978	C₂	semidirect
8. #13123976	C₂	semidirect
9. #13123969	C₂	semidirect
10. M₁₆×Dic₂₆	C₂	semidirect
11. #13123787	C₂	semidirect
12. D₄×#6099	C₂	semidirect
13. M₁₆×C₂²⋊D₁₃	C₂	semidirect
14. M₁₆×C₂²⋊D₁₃	C₂	semidirect
15. #13123568	C₂	semidirect
16. #13123568	C₂	semidirect
17. #13123472	C₂	semidirect
18. #13123471	C₂	semidirect
19. #13123465	C₂	semidirect
20. #13123399	C₂	semidirect
21. #13123398	C₂	semidirect
22. C₂×#11718779	C₂	semidirect
23. D₄×C₁₃×M₁₆	C₂	semidirect
61. C₁₃×#436	C₂²	semidirect
62. C₁₃×#435	C₂²	semidirect
63. C₁₃×#435	C₂²	semidirect
64. C₈×D₄×C₁₃	C₂²	semidirect
71. #11718789	C₂²	semidirect
72. #11718789	C₂²	semidirect
73. #11718788	C₂²	semidirect
74. #11718788	C₂²	semidirect
77. #11718780	C₂²	semidirect
78. #11718780	C₂²	semidirect
87. #11718779	C₂²	semidirect
88. #11718779	C₂²	semidirect
93. #11718772	C₂²	semidirect
94. #11718772	C₂²	semidirect
95. C₈×C₂²⋊D₁₃	C₂²	semidirect
96. C₈×C₂²⋊D₁₃	C₂²	semidirect
97. #11718763	C₂²	semidirect
98. #11718763	C₂²	semidirect
99. C₂×#88054	C₂²	semidirect
100. C₂×#88054	C₂²	semidirect
101. #11718673	C₂²	semidirect
102. #11718672	C₂²	semidirect
103. #11718672	C₂²	semidirect
104. D₄×#1055	C₂²	semidirect
107. #11718500	C₂²	semidirect
108. #11718500	C₂²	semidirect
109. #11718500	C₂²	semidirect
110. #11718500	C₂²	semidirect
111. #11718492	C₂²	semidirect
112. #11718491	C₂²	semidirect
113. #11718489	C₂²	semidirect
114. #11718489	C₂²	semidirect
115. #11718391	C₂²	semidirect
116. #11718391	C₂²	semidirect
117. #11718390	C₂²	semidirect
118. #11718390	C₂²	semidirect
119. #11718389	C₂²	semidirect
120. #11718389	C₂²	semidirect
121. #11718386	C₂²	semidirect
122. #11718386	C₂²	semidirect
123. #11718381	C₂²	semidirect
124. #11718381	C₂²	semidirect
125. #11718381	C₂²	semidirect
126. #11718381	C₂²	semidirect
127. #11718380	C₂²	semidirect
128. #11718380	C₂²	semidirect
129. #11718379	C₂²	semidirect
130. #11718379	C₂²	semidirect
131. #11718370	C₂²	semidirect
132. #11718370	C₂²	semidirect
133. #11718362	C₂²	semidirect
134. #11718362	C₂²	semidirect
135. #11718351	C₂²	semidirect
136. #11718351	C₂²	semidirect
137. #11718340	C₂²	semidirect
138. C₈×Dic₂₆	C₂²	semidirect
576. D₄×M₁₆	D₁₃	semidirect
736. #436	C₂×D₁₃	semidirect
747. #435	C₂×D₁₃	semidirect
748. #435	C₂×D₁₃	semidirect
754. C₈×D₄	C₂×D₁₃	semidirect
1281. C₁₃	#60264	semidirect

Maximal subgroups

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

subgroup	index
C₂×#11719243	2
#13124007	2
#13124000	2
#13123993	2
#13123989	2
#13123982	2
#13123978	2
#13123976	2
#13123969	2
M₁₆×Dic₂₆	2
#13123787	2
D₄×#6099	2
M₁₆×C₂²⋊D₁₃	2
#13123568	2
#13123472	2
#13123471	2
#13123465	2
#13123399	2
#13123398	2
C₂×#11718779	2
D₄×C₁₃×M₁₆	2
#60264	13