Subgroups — #16022871

Order 3328.

2340 conjugacy classes of subgroups.

The subgroup lattice has 1408 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×#11719407	C₂	1	1	yes	maximal, characteristic
2	#13117959	C₂	1	1	yes	maximal, characteristic, complemented
3	#13117957	C₂	1	1	yes	maximal, characteristic, complemented
4	#13117950	C₂	1	1	yes	maximal, characteristic, complemented
5	#13117908	C₂	1	1	yes	maximal, characteristic
6	#13117904	C₂	1	1	yes	maximal, characteristic
7	#13117891	C₂	1	1	yes	maximal, characteristic, complemented
8	#13117866	C₂	1	1	yes	maximal, characteristic, complemented
9	#13117864	C₂	1	1	yes	maximal, characteristic, complemented
10	#13117802	C₂	1	1	yes	maximal, characteristic, complemented
11	#13117798	C₂	1	1	yes	maximal, characteristic, complemented
12	#13117790	C₂	1	1	yes	maximal, characteristic, complemented
13	#13117782	C₂	1	1	yes	maximal, characteristic
14	#13117730	C₂	1	1	yes	maximal, characteristic, complemented
15	#13117726	C₂	1	1	yes	maximal, characteristic, complemented
16	#13117407	C₂	1	1	yes	maximal, characteristic, complemented
17	#13117390	C₂	1	1	yes	maximal, characteristic, complemented
18	#126×Dic₁₃	C₂	1	1	yes	maximal, characteristic, complemented
19	#13117386	C₂	1	1	yes	maximal, characteristic, complemented
20	#13117386	C₂	1	1	yes	maximal, characteristic, complemented
21	#13117377	C₂	1	1	yes	maximal, characteristic
22	#13117377	C₂	1	1	yes	maximal, characteristic
23	#13117370	C₂	1	1	yes	maximal, characteristic, complemented
24	#13117368	C₂	1	1	yes	maximal, characteristic, complemented
25	C₄×#88141	C₂	1	1	yes	maximal, characteristic, complemented
26	C₄×#88141	C₂	1	1	yes	maximal, characteristic, complemented
27	C₄×#88141	C₂	1	1	yes	maximal, characteristic, complemented
28	C₄×#88135	C₂	1	1	yes	maximal, characteristic
29	#13117175	C₂	1	1	yes	maximal, characteristic, complemented
30	C₄×#88131	C₂	1	1	yes	maximal, characteristic, complemented
31	C₁₃×#2373	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂×C₁₃×#126	C₂²	1	1	yes	characteristic
33	C₂×C₄×C₂²⋊D₁₃	C₂²	1	1	yes	characteristic
34	C₂²×C₄×Dic₁₃	C₂²	1	1	yes	characteristic
35	#11719407	C₄	1	16	yes	complemented
36	C₂×#88152	C₂²	1	1	yes	characteristic
37	C₂×#88152	C₂²	1	1	yes	characteristic
38	C₂×#88150	C₂²	1	1	yes	characteristic
39	C₂×#88142	C₂²	1	1	yes	characteristic
40	C₂×#88141	C₂²	1	1	yes	characteristic
41	C₂×#88141	C₂²	1	1	yes	characteristic
42	C₂×#88141	C₂²	1	1	yes	characteristic
43	C₂×#88141	C₂²	1	1	yes	characteristic
44	C₂×#88141	C₂²	1	1	yes	characteristic
45	C₂×#88141	C₂²	1	1	yes	characteristic
46	C₂×#88139	C₂²	1	1	yes	characteristic
47	C₂×#88139	C₂²	1	1	yes	characteristic
48	C₂×#88135	C₂²	1	1	yes	characteristic
49	C₂×#88135	C₂²	1	1	yes	characteristic
50	C₂×#88133	C₂²	1	1	yes	characteristic
51	C₂×#88132	C₂²	1	1	yes	characteristic
52	C₂×#88131	C₂²	1	1	yes	characteristic
53	C₂×#88131	C₂²	1	1	yes	characteristic
54	C₂×#88126	C₂²	1	1	yes	characteristic
55	C₂×#88126	C₂²	1	1	yes	characteristic
56	C₂×C₄²×D₁₃	C₂²	1	1	yes	characteristic
57	C₂×C₄×Dic₂₆	C₂²	1	1	yes	characteristic
58	C₂×C₄×Dic₂₆	C₂²	1	1	yes	characteristic
59	C₂×C₄×Dic₂₆	C₂²	1	1	yes	characteristic
60	C₁₃×#389	C₂²	1	1	yes	characteristic
61	C₁₃×#388	C₂²	1	1	yes	characteristic
62	C₁₃×#388	C₂²	1	1	yes	characteristic
63	C₁₃×#388	C₂²	1	1	yes	characteristic
64	C₁₃×#387	C₂²	1	1	yes	characteristic
65	C₁₃×#387	C₂²	1	1	yes	characteristic
66	C₁₃×#387	C₂²	1	1	yes	characteristic
67	C₁₃×#385	C₂²	1	1	yes	characteristic
68	C₄×C₁₃×C₄⋊C₄	C₂²	1	1	yes	characteristic
69	C₄×C₁₃×C₄⋊C₄	C₂²	1	1	yes	characteristic
70	C₄×C₁₃×C₄⋊C₄	C₂²	1	1	yes	characteristic
71	C₄×C₁₃×C₂²⋊C₄	C₂²	1	1	yes	characteristic
72	C₄×C₁₃×C₂²⋊C₄	C₂²	1	1	yes	characteristic
73	C₁₃×#376	C₂²	1	1	yes	characteristic
74	#11718871	C₂²	1	1	yes	characteristic
75	C₄×C₂²⋊Dic₁₃	C₂²	1	1	yes	characteristic
76	#11718651	C₂²	1	1	yes	characteristic
77	#11718651	C₂²	1	1	yes	characteristic
78	#11718651	C₂²	1	1	yes	characteristic
79	#11718651	C₂²	1	1	yes	characteristic
80	#11718650	C₂²	1	1	yes	characteristic
81	#11718642	C₂²	1	1	yes	characteristic
82	#11718642	C₂²	1	1	yes	characteristic
83	#11718642	C₂²	1	1	yes	characteristic
84	#11718639	C₂²	1	1	yes	characteristic
85	#11718639	C₂²	1	1	yes	characteristic
86	#11718637	C₂²	1	1	yes	characteristic
87	C₄⋊C₄×Dic₁₃	C₂²	1	1	yes	characteristic
88	C₄⋊C₄×Dic₁₃	C₂²	1	1	yes	characteristic
89	C₄⋊C₄×Dic₁₃	C₂²	1	1	yes	characteristic
90	C₄⋊C₄×Dic₁₃	C₂²	1	1	yes	characteristic
91	C₄⋊C₄×Dic₁₃	C₂²	1	1	yes	characteristic
92	C₄⋊C₄×Dic₁₃	C₂²	1	1	yes	characteristic
93	C₄⋊C₄×Dic₁₃	C₂²	1	1	yes	characteristic
94	C₄⋊C₄×Dic₁₃	C₂²	1	1	yes	characteristic
95	#11718633	C₂²	1	1	yes	characteristic
96	#11718633	C₂²	1	1	yes	characteristic
97	#11718633	C₂²	1	1	yes	characteristic
98	#11718618	C₂²	1	1	yes	characteristic
99	#11718618	C₂²	1	1	yes	characteristic
100	#11718612	C₂²	1	1	yes	characteristic
101	#11718612	C₂²	1	1	yes	characteristic
102	#11718612	C₂²	1	1	yes	characteristic
103	#11718606	C₂²	1	1	yes	characteristic
104	#11718606	C₂²	1	1	yes	characteristic
105	#11718606	C₂²	1	1	yes	characteristic
106	#11718605	C₂²	1	1	yes	characteristic
107	#11718603	C₂²	1	1	yes	characteristic
108	C₂²⋊C₄×Dic₁₃	C₂²	1	1	yes	characteristic
109	C₂²⋊C₄×Dic₁₃	C₂²	1	1	yes	characteristic
110	C₂²⋊C₄×Dic₁₃	C₂²	1	1	yes	characteristic
111	C₂²⋊C₄×Dic₁₃	C₂²	1	1	yes	characteristic
112	C₂²⋊C₄×Dic₁₃	C₂²	1	1	yes	characteristic
113	C₂²⋊C₄×Dic₁₃	C₂²	1	1	yes	characteristic
114	#11718601	C₂²	1	1	yes	characteristic
115	#11718601	C₂²	1	1	yes	characteristic
116	#11718601	C₂²	1	1	yes	characteristic
117	#11718601	C₂²	1	1	yes	characteristic
118	C₄×#6103	C₂²	1	1	yes	characteristic
119	#11718598	C₂²	1	1	yes	characteristic
120	#11718594	C₂²	1	1	yes	characteristic
121	#11718594	C₂²	1	1	yes	characteristic
122	#11718593	C₂²	1	1	yes	characteristic
123	C₄×#6101	C₂²	1	1	yes	characteristic
124	C₄×#6101	C₂²	1	1	yes	characteristic
125	C₄×#6101	C₂²	1	1	yes	characteristic
126	C₄×#6101	C₂²	1	1	yes	characteristic
127	C₄×#6101	C₂²	1	1	yes	characteristic
128	C₄×#6101	C₂²	1	1	yes	characteristic
129	C₄×#6101	C₂²	1	1	yes	characteristic
130	C₄×#6101	C₂²	1	1	yes	characteristic
131	C₄×#6101	C₂²	1	1	yes	characteristic
132	C₄²×Dic₁₃	C₂²	1	1	yes	characteristic
133	C₄²×Dic₁₃	C₂²	1	1	yes	characteristic
134	C₄²×Dic₁₃	C₂²	1	1	yes	characteristic
135	C₄²×Dic₁₃	C₂²	1	1	yes	characteristic
136	C₄²×Dic₁₃	C₂²	1	1	yes	characteristic
137	C₄²×Dic₁₃	C₂²	1	1	yes	characteristic
138	C₄²×Dic₁₃	C₂²	1	1	yes	characteristic
139	#11718589	C₂²	1	1	yes	characteristic
140	#11718331	C₂²	1	1	yes	characteristic
141	#11718331	C₂²	1	1	yes	characteristic
142	#11718329	C₂²	1	1	yes	characteristic
143	#11718328	C₂²	1	1	yes	characteristic
144	#11718327	C₂²	1	1	yes	characteristic
145	#11718327	C₂²	1	1	yes	characteristic
146	#11718327	C₂²	1	1	yes	characteristic
147	#11718327	C₂²	1	1	yes	characteristic
148	#11718327	C₂²	1	1	yes	characteristic
149	#11718327	C₂²	1	1	yes	characteristic
150	#11718327	C₂²	1	1	yes	characteristic
151	#11718327	C₂²	1	1	yes	characteristic
152	#11718316	C₂²	1	1	yes	characteristic
153	#11718316	C₂²	1	1	yes	characteristic
154	#11718315	C₂²	1	1	yes	characteristic
155	#11718314	C₂²	1	1	yes	characteristic
156	#11718314	C₂²	1	1	yes	characteristic
157	#11718314	C₂²	1	1	yes	characteristic
158	#11718312	C₂²	1	1	yes	characteristic
159	#11718312	C₂²	1	1	yes	characteristic
160	#11718312	C₂²	1	1	yes	characteristic
161	#11718311	C₂²	1	1	yes	characteristic
162	#11718311	C₂²	1	1	yes	characteristic
163	#11718310	C₂²	1	1	yes	characteristic
164	#11718310	C₂²	1	1	yes	characteristic
165	#11718310	C₂²	1	1	yes	characteristic
166	#11718310	C₂²	1	1	yes	characteristic
167	#11718310	C₂²	1	1	yes	characteristic
168	#11718310	C₂²	1	1	yes	characteristic
169	#11718310	C₂²	1	1	yes	characteristic
170	#11718310	C₂²	1	1	yes	characteristic
171	#11718310	C₂²	1	1	yes	characteristic
172	#11718310	C₂²	1	1	yes	characteristic
173	#11718310	C₂²	1	1	yes	characteristic
174	#11718310	C₂²	1	1	yes	characteristic
175	#11718310	C₂²	1	1	yes	characteristic
176	#11718310	C₂²	1	1	yes	characteristic
177	#11718310	C₂²	1	1	yes	characteristic
178	#11718310	C₂²	1	1	yes	characteristic
179	#11718309	C₂²	1	1	yes	characteristic
180	#11718309	C₂²	1	1	yes	characteristic
181	#11718308	C₂²	1	1	yes	characteristic
182	#11718307	C₂²	1	1	yes	characteristic
183	#11718307	C₂²	1	1	yes	characteristic
184	#11718307	C₂²	1	1	yes	characteristic
185	#11718307	C₂²	1	1	yes	characteristic
186	#11718307	C₂²	1	1	yes	characteristic
187	#11718307	C₂²	1	1	yes	characteristic
188	C₂³×C₄×C₁₃	C₂³	1	1	yes	characteristic
189	C₂²×C₂²⋊D₁₃	C₂³	1	1	yes	characteristic
190	C₂³×Dic₁₃	C₂³	1	1	yes	characteristic
191	C₂³×Dic₁₃	C₂³	1	1	yes	characteristic
192	C₂²×C₄×D₁₃	C₂³	1	1	yes	characteristic
193	C₂²×C₄×D₁₃	C₂³	1	1	yes	characteristic
194	C₂²×C₄×D₁₃	C₂³	1	1	yes	characteristic
195	C₂²×Dic₂₆	C₂³	1	1	yes	characteristic
196	C₂²×Dic₂₆	C₂³	1	1	yes	characteristic
197	C₂²×Dic₂₆	C₂³	1	1	yes	characteristic
198	C₁₃×#126	C₂×C₄	1	8	yes	complemented
199	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
200	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
201	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
202	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
203	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
204	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
205	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
206	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
207	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
208	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
209	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
210	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
211	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
212	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
213	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
214	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
215	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
216	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
217	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
218	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
219	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
220	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
221	C₂×C₂²⋊Dic₁₃	C₂³	1	1	yes	characteristic
222	C₂×C₂²⋊Dic₁₃	C₂³	1	1	yes	characteristic
223	C₂×C₂²⋊Dic₁₃	C₂³	1	1	yes	characteristic
224	C₂×C₂²⋊Dic₁₃	C₂³	1	1	yes	characteristic
225	C₂×C₂²⋊Dic₁₃	C₂³	1	1	yes	characteristic
226	C₄×C₂²⋊D₁₃	—	2	4	no	—
227	C₂×#6103	C₂³	1	1	yes	characteristic
228	C₂×#6103	C₂³	1	1	yes	characteristic
229	C₂×#6103	C₂³	1	1	yes	characteristic
230	C₂×#6103	C₂³	1	1	yes	characteristic
231	C₂×#6103	C₂³	1	1	yes	characteristic
232	C₂×#6103	C₂³	1	1	yes	characteristic
233	C₂×#6103	C₂³	1	1	yes	characteristic
234	C₂×#6103	C₂³	1	1	yes	characteristic
235	C₂×#6103	C₂³	1	1	yes	characteristic
236	C₂×#6103	C₂³	1	1	yes	characteristic
237	C₂×#6103	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×C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic
241	C₂×C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic
242	C₂×C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic
243	C₂×#6101	C₂³	1	1	yes	characteristic
244	C₂×#6101	C₂³	1	1	yes	characteristic
245	C₂×#6101	C₂³	1	1	yes	characteristic
246	C₂×#6101	C₂³	1	1	yes	characteristic
247	C₂×#6101	C₂³	1	1	yes	characteristic
248	C₂×#6101	C₂³	1	1	yes	characteristic
249	C₂×#6101	C₂³	1	1	yes	characteristic
250	C₂×#6101	C₂³	1	1	yes	characteristic
251	C₂×#6101	C₂³	1	1	yes	characteristic
252	C₂×#6101	C₂³	1	1	yes	characteristic
253	C₂×#6101	C₂³	1	1	yes	characteristic
254	C₂×#6101	C₂³	1	1	yes	characteristic
255	C₂×#6101	C₂³	1	1	yes	characteristic
256	C₂×#6101	C₂³	1	1	yes	characteristic
257	C₂×#6101	C₂³	1	1	yes	characteristic
258	C₂×#6101	C₂³	1	1	yes	characteristic
259	C₂×#6101	C₂³	1	1	yes	characteristic
260	C₂×#6101	C₂³	1	1	yes	characteristic
261	C₂×#6101	C₂³	1	1	yes	characteristic
262	C₂×#6101	C₂³	1	1	yes	characteristic
263	C₂×#6101	C₂³	1	1	yes	characteristic
264	C₂×C₄×Dic₁₃	—	2	4	no	—
265	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
266	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
267	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
268	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
269	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
270	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
271	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
272	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
273	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
274	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
275	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
276	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
277	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
278	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
279	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
280	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
281	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
282	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
283	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
284	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
285	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
286	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
287	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
288	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
289	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
290	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
291	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
292	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
293	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
294	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
295	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
296	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
297	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
298	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
299	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
300	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
301	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
302	#88152	C₂×C₄	1	8	yes	complemented
303	#88152	C₂×C₄	1	8	yes	complemented
304	#88150	C₂×C₄	1	8	yes	complemented
305	#88142	C₂×C₄	1	8	yes	complemented
306	#88141	—	2	4	no	—
307	#88141	—	2	4	no	—
308	#88141	—	2	4	no	—
309	#88141	—	2	4	no	—
310	#88141	C₂×C₄	1	8	yes	complemented
311	#88141	C₂×C₄	1	8	yes	complemented
312	#88139	C₂×C₄	1	8	yes	—
313	#88139	C₂×C₄	1	8	yes	—
314	#88135	—	2	4	no	—
315	#88135	C₂×C₄	1	8	yes	—
316	#88133	C₂×C₄	1	8	yes	complemented
317	#88132	C₂×C₄	1	8	yes	complemented
318	#88131	—	2	4	no	—
319	#88131	C₂×C₄	1	8	yes	complemented
320	#88126	—	2	4	no	—
321	#88126	C₂×C₄	1	8	yes	complemented
322	C₄²×D₁₃	—	2	4	no	—
323	C₄×Dic₂₆	—	2	4	no	—
324	C₄×Dic₂₆	—	2	4	no	—
325	C₄×Dic₂₆	C₂×C₄	1	8	yes	complemented
326	C₁₃×#95	C₂³	1	1	yes	characteristic
327	C₁₃×#95	C₂³	1	1	yes	characteristic
328	C₁₃×#95	C₂³	1	1	yes	characteristic
329	C₁₃×#95	C₂³	1	1	yes	characteristic
330	C₁₃×#95	C₂³	1	1	yes	characteristic
331	C₁₃×#95	C₂³	1	1	yes	characteristic
332	C₁₃×#95	C₂³	1	1	yes	characteristic
333	C₁₃×#95	C₂³	1	1	yes	characteristic
334	C₁₃×#95	C₂³	1	1	yes	characteristic
335	C₁₃×#95	C₂³	1	1	yes	characteristic
336	C₁₃×#95	C₂³	1	1	yes	characteristic
337	C₁₃×#95	C₂³	1	1	yes	characteristic
338	#88071	C₂³	1	1	yes	characteristic
339	#88071	C₂³	1	1	yes	characteristic
340	#88071	C₂³	1	1	yes	characteristic
341	#88071	C₂³	1	1	yes	characteristic
342	#88071	C₂³	1	1	yes	characteristic
343	#88071	C₂³	1	1	yes	characteristic
344	#88071	C₂³	1	1	yes	characteristic
345	#88071	C₂³	1	1	yes	characteristic
346	#88071	C₂³	1	1	yes	characteristic
347	#88071	C₂³	1	1	yes	characteristic
348	#88071	C₂³	1	1	yes	characteristic
349	#88071	C₂³	1	1	yes	characteristic
350	#88071	C₂³	1	1	yes	characteristic
351	#88071	C₂³	1	1	yes	characteristic
352	#88071	C₂³	1	1	yes	characteristic
353	#88071	C₂³	1	1	yes	characteristic
354	#88071	C₂³	1	1	yes	characteristic
355	#88071	C₂³	1	1	yes	characteristic
356	#88071	C₂³	1	1	yes	characteristic
357	#88071	C₂³	1	1	yes	characteristic
358	#88071	C₂³	1	1	yes	characteristic
359	#88071	C₂³	1	1	yes	characteristic
360	#88071	C₂³	1	1	yes	characteristic
361	#88071	C₂³	1	1	yes	characteristic
362	#88071	C₂³	1	1	yes	characteristic
363	#88071	C₂³	1	1	yes	characteristic
364	#88071	C₂³	1	1	yes	characteristic
365	#88071	C₂³	1	1	yes	characteristic
366	#88071	C₂³	1	1	yes	characteristic
367	#88071	C₂³	1	1	yes	characteristic
368	#88071	C₂³	1	1	yes	characteristic
369	#88071	C₂³	1	1	yes	characteristic
370	C₄×#556	—	13	1	no	maximal, Sylow
371	C₂⁴×C₁₃	C₂⁴	1	1	yes	characteristic
372	C₂³×D₁₃	C₂⁴	1	1	yes	characteristic
373	C₂²×C₄×C₁₃	—	2	2	no	—
374	C₂²×C₄×C₁₃	—	2	2	no	—
375	C₂²×C₄×C₁₃	—	4	1	no	—
376	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
377	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
378	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
379	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
380	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
381	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
382	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
383	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
384	C₂²×C₄×C₁₃	C₂⁴	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	—	2	2	no	—
391	C₂×C₂²⋊D₁₃	—	2	2	no	—
392	C₂×C₂²⋊D₁₃	C₂²×C₄	1	4	yes	—
393	C₂²×Dic₁₃	—	2	2	no	—
394	C₂²×Dic₁₃	—	2	2	no	—
395	C₂²×Dic₁₃	—	2	2	no	—
396	C₂²×Dic₁₃	—	2	2	no	—
397	C₂²×Dic₁₃	—	2	2	no	—
398	C₂²×Dic₁₃	C₂²×C₄	1	4	yes	—
399	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
400	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
401	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
402	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
403	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
404	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
405	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
406	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
407	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
408	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
409	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
410	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
411	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
412	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
413	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
414	C₂×C₄×D₁₃	—	2	2	no	—
415	C₂×C₄×D₁₃	—	2	2	no	—
416	C₂×C₄×D₁₃	—	2	2	no	—
417	C₂×C₄×D₁₃	—	2	2	no	—
418	C₂×C₄×D₁₃	—	2	2	no	—
419	C₂×C₄×D₁₃	—	2	2	no	—
420	C₂×C₄×D₁₃	—	2	2	no	—
421	C₂×C₄×D₁₃	—	4	1	no	—
422	C₂×C₄×D₁₃	C₂²×C₄	1	4	yes	—
423	C₂×Dic₂₆	—	2	2	no	—
424	C₂×Dic₂₆	—	2	2	no	—
425	C₂×Dic₂₆	—	2	2	no	—
426	C₂×Dic₂₆	—	2	2	no	—
427	C₂×Dic₂₆	—	2	2	no	—
428	C₂×Dic₂₆	—	2	2	no	—
429	C₂×Dic₂₆	C₂²×C₄	1	4	yes	—
430	C₂×Dic₂₆	C₂²×C₄	1	4	yes	—
431	C₂×Dic₂₆	C₂²×C₄	1	4	yes	—
432	C₁₃×C₄⋊C₄	—	2	2	no	—
433	C₁₃×C₄⋊C₄	—	2	2	no	—
434	C₁₃×C₄⋊C₄	—	2	2	no	—
435	C₁₃×C₄⋊C₄	—	2	2	no	—
436	C₁₃×C₄⋊C₄	—	4	1	no	—
437	C₁₃×C₄⋊C₄	C₂²×C₄	1	4	yes	—
438	C₁₃×C₄⋊C₄	C₂²×C₄	1	4	yes	—
439	C₁₃×C₄⋊C₄	C₂²×C₄	1	4	yes	—
440	C₁₃×C₂²⋊C₄	—	2	2	no	—
441	C₁₃×C₂²⋊C₄	—	2	2	no	—
442	C₁₃×C₂²⋊C₄	—	4	1	no	—
443	C₁₃×C₂²⋊C₄	C₂²×C₄	1	4	yes	—
444	C₁₃×C₂²⋊C₄	C₂²×C₄	1	4	yes	—
445	C₁₃×C₂²⋊C₄	C₂²×C₄	1	4	yes	—
446	C₄²×C₁₃	—	2	2	no	—
447	C₄²×C₁₃	—	2	2	no	—
448	C₄²×C₁₃	—	2	2	no	—
449	C₄²×C₁₃	—	2	2	no	—
450	C₄²×C₁₃	—	4	1	no	—
451	C₄²×C₁₃	—	4	1	no	—
452	C₄²×C₁₃	—	4	1	no	—
453	C₄²×C₁₃	C₂²×C₄	1	4	yes	—
454	C₂²⋊Dic₁₃	—	2	2	no	—
455	C₂²⋊Dic₁₃	—	2	2	no	—
456	C₂²⋊Dic₁₃	—	4	1	no	—
457	C₂²⋊Dic₁₃	C₂²×C₄	1	4	yes	—
458	C₂²⋊Dic₁₃	C₂²×C₄	1	4	yes	—
459	#6103	—	2	2	no	—
460	#6103	—	2	2	no	—
461	#6103	—	2	2	no	—
462	#6103	—	2	2	no	—
463	#6103	—	4	1	no	—
464	#6103	—	4	1	no	—
465	#6103	C₂²×C₄	1	4	yes	—
466	#6103	C₂²×C₄	1	4	yes	—
467	#6103	C₂²×C₄	1	4	yes	—
468	#6103	C₂²×C₄	1	4	yes	—
469	#6103	C₂²×C₄	1	4	yes	—
470	C₄⋊Dic₁₃	—	2	2	no	—
471	C₄⋊Dic₁₃	—	2	2	no	—
472	C₄⋊Dic₁₃	—	4	1	no	—
473	C₄⋊Dic₁₃	C₂²×C₄	1	4	yes	—
474	C₄⋊Dic₁₃	C₂²×C₄	1	4	yes	—
475	#6101	—	2	2	no	—
476	#6101	—	2	2	no	—
477	#6101	—	2	2	no	—
478	#6101	—	2	2	no	—
479	#6101	—	2	2	no	—
480	#6101	—	2	2	no	—
481	#6101	—	2	2	no	—
482	#6101	—	2	2	no	—
483	#6101	—	2	2	no	—
484	#6101	—	2	2	no	—
485	#6101	—	2	2	no	—
486	#6101	—	2	2	no	—
487	#6101	C₂²×C₄	1	4	yes	—
488	#6101	C₂²×C₄	1	4	yes	—
489	#6101	C₂²×C₄	1	4	yes	—
490	#6101	C₂²×C₄	1	4	yes	—
491	#6101	C₂²×C₄	1	4	yes	—
492	#6101	C₂²×C₄	1	4	yes	—
493	#6101	C₂²×C₄	1	4	yes	—
494	#6101	#41	1	4	yes	—
495	#6101	#41	1	4	yes	—
496	C₄×Dic₁₃	—	2	2	no	—
497	C₄×Dic₁₃	—	2	2	no	—
498	C₄×Dic₁₃	—	2	2	no	—
499	C₄×Dic₁₃	—	2	2	no	—
500	C₄×Dic₁₃	—	2	2	no	—
501	C₄×Dic₁₃	—	2	2	no	—
502	C₄×Dic₁₃	—	2	2	no	—
503	C₄×Dic₁₃	—	2	2	no	—
504	C₄×Dic₁₃	—	2	2	no	—
505	C₄×Dic₁₃	—	2	2	no	—
506	C₄×Dic₁₃	—	2	2	no	—
507	C₄×Dic₁₃	—	2	2	no	—
508	C₄×Dic₁₃	—	2	2	no	—
509	C₄×Dic₁₃	—	2	2	no	—
510	C₄×Dic₁₃	—	2	2	no	—
511	C₄×Dic₁₃	—	2	2	no	—
512	C₄×Dic₁₃	—	2	2	no	—
513	C₄×Dic₁₃	—	2	2	no	—
514	C₄×Dic₁₃	—	2	2	no	—
515	C₄×Dic₁₃	—	2	2	no	—
516	C₄×Dic₁₃	—	2	2	no	—
517	C₄×Dic₁₃	—	2	2	no	—
518	C₄×Dic₁₃	—	2	2	no	—
519	C₄×Dic₁₃	—	2	2	no	—
520	C₄×Dic₁₃	—	2	2	no	—
521	C₄×Dic₁₃	—	4	1	no	—
522	C₄×Dic₁₃	—	4	1	no	—
523	C₄×Dic₁₃	—	4	1	no	—
524	C₄×Dic₁₃	—	4	1	no	—
525	C₄×Dic₁₃	C₂²×C₄	1	4	yes	—
526	C₄×Dic₁₃	C₂²×C₄	1	4	yes	—
527	C₄×Dic₁₃	C₂²×C₄	1	4	yes	—
528	C₄×Dic₁₃	C₂²×C₄	1	4	yes	—
529	C₄×Dic₁₃	C₂²×C₄	1	4	yes	—
530	C₄×Dic₁₃	C₂²×C₄	1	4	yes	—
531	C₄×Dic₁₃	#41	1	4	yes	—
532	C₄×Dic₁₃	#41	1	4	yes	—
533	C₂×#556	—	13	1	no	—
534	#2373	—	13	1	no	—
535	#2373	—	13	1	no	—
536	#2373	—	13	1	no	—
537	#2373	D₁₃	1	1	yes	characteristic, complemented
538	#2367	—	13	1	no	—
539	#2367	—	13	1	no	—
540	#2365	—	13	1	no	—
541	#2362	—	13	1	no	—
542	#2362	—	13	1	no	—
543	#2356	—	13	1	no	—
544	#2356	—	13	1	no	—
545	#2355	—	13	1	no	—
546	#2354	—	13	1	no	—
547	#2347	—	13	1	no	—
548	#2347	—	13	1	no	—
549	C₄×C₄⋊Q₈	—	13	1	no	—
550	C₄×#126	—	13	1	no	—
551	C₄×#126	—	13	1	no	—
552	C₄×#126	—	13	1	no	—
553	C₄×#126	—	13	1	no	—
554	C₄×#124	—	13	1	no	—
555	C₄×#124	—	13	1	no	—
556	C₄×C₂²⋊Q₈	—	13	1	no	—
557	C₄×C₂²⋊Q₈	—	13	1	no	—
558	C₄²×Q₈	—	13	1	no	—
559	C₄²×Q₈	—	13	1	no	—
560	C₄²×Q₈	—	13	1	no	—
561	C₄²×D₄	—	13	1	no	—
562	C₄×#117	—	13	1	no	—
563	C₄×#117	—	13	1	no	—
564	C₂³×C₁₃	—	2	1	no	—
565	C₂³×C₁₃	—	2	1	no	—
566	C₂³×C₁₃	—	2	1	no	—
567	C₂³×C₁₃	—	2	1	no	—
568	C₂³×C₁₃	—	2	1	no	—
569	C₂³×C₁₃	—	2	1	no	—
570	C₂³×C₁₃	C₂³×C₄	1	2	yes	—
571	C₂³×C₁₃	C₂⁵	1	1	yes	characteristic
572	C₂²×D₁₃	—	2	1	no	—
573	C₂²×D₁₃	—	2	1	no	—
574	C₂²×D₁₃	—	2	1	no	—
575	C₂²×D₁₃	—	2	1	no	—
576	C₂²×D₁₃	—	2	1	no	—
577	C₂²×D₁₃	—	2	1	no	—
578	C₂²×D₁₃	C₂³×C₄	1	2	yes	—
579	C₂×C₄×C₁₃	—	2	1	no	—
580	C₂×C₄×C₁₃	—	2	1	no	—
581	C₂×C₄×C₁₃	—	2	1	no	—
582	C₂×C₄×C₁₃	—	2	1	no	—
583	C₂×C₄×C₁₃	—	2	1	no	—
584	C₂×C₄×C₁₃	—	2	1	no	—
585	C₂×C₄×C₁₃	—	2	1	no	—
586	C₂×C₄×C₁₃	—	2	1	no	—
587	C₂×C₄×C₁₃	—	2	1	no	—
588	C₂×C₄×C₁₃	—	2	1	no	—
589	C₂×C₄×C₁₃	—	2	1	no	—
590	C₂×C₄×C₁₃	—	2	1	no	—
591	C₂×C₄×C₁₃	—	2	1	no	—
592	C₂×C₄×C₁₃	—	2	1	no	—
593	C₂×C₄×C₁₃	—	2	1	no	—
594	C₂×C₄×C₁₃	—	2	1	no	—
595	C₂×C₄×C₁₃	—	2	1	no	—
596	C₂×C₄×C₁₃	—	2	1	no	—
597	C₂×C₄×C₁₃	—	2	1	no	—
598	C₂×C₄×C₁₃	—	2	1	no	—
599	C₂×C₄×C₁₃	—	2	1	no	—
600	C₂×C₄×C₁₃	—	2	1	no	—
601	C₂×C₄×C₁₃	—	2	1	no	—
602	C₂×C₄×C₁₃	—	2	1	no	—
603	C₂×C₄×C₁₃	—	2	1	no	—
604	C₂×C₄×C₁₃	—	2	1	no	—
605	C₂×C₄×C₁₃	—	2	1	no	—
606	C₂×C₄×C₁₃	—	2	1	no	—
607	C₂×C₄×C₁₃	—	2	1	no	—
608	C₂×C₄×C₁₃	—	2	1	no	—
609	C₂×C₄×C₁₃	—	2	1	no	—
610	C₂×C₄×C₁₃	—	2	1	no	—
611	C₂×C₄×C₁₃	—	4	4	no	—
612	C₂×C₄×C₁₃	C₂³×C₄	1	2	yes	—
613	C₂×C₄×C₁₃	C₂³×C₄	1	2	yes	—
614	C₂×C₄×C₁₃	C₂³×C₄	1	2	yes	—
615	C₂×C₄×C₁₃	C₂³×C₄	1	2	yes	—
616	C₂×C₄×C₁₃	C₂³×C₄	1	2	yes	—
617	C₂×C₄×C₁₃	C₂³×C₄	1	2	yes	—
618	C₂×C₄×C₁₃	C₂×#41	1	2	yes	—
619	C₂×C₄×C₁₃	C₂×#41	1	2	yes	—
620	C₂×C₄×C₁₃	C₂×#41	1	2	yes	—
621	C₂×C₄×C₁₃	C₂×#41	1	2	yes	—
622	C₂²⋊D₁₃	—	2	8	no	—
623	C₂×Dic₁₃	—	2	1	no	—
624	C₂×Dic₁₃	—	2	1	no	—
625	C₂×Dic₁₃	—	2	1	no	—
626	C₂×Dic₁₃	—	2	1	no	—
627	C₂×Dic₁₃	—	2	1	no	—
628	C₂×Dic₁₃	—	2	1	no	—
629	C₂×Dic₁₃	—	2	1	no	—
630	C₂×Dic₁₃	—	2	1	no	—
631	C₂×Dic₁₃	—	2	1	no	—
632	C₂×Dic₁₃	—	2	1	no	—
633	C₂×Dic₁₃	—	2	1	no	—
634	C₂×Dic₁₃	—	2	1	no	—
635	C₂×Dic₁₃	—	2	1	no	—
636	C₂×Dic₁₃	—	2	1	no	—
637	C₂×Dic₁₃	—	2	8	no	—
638	C₂×Dic₁₃	—	2	1	no	—
639	C₂×Dic₁₃	—	2	1	no	—
640	C₂×Dic₁₃	—	2	1	no	—
641	C₂×Dic₁₃	—	2	1	no	—
642	C₂×Dic₁₃	—	2	1	no	—
643	C₂×Dic₁₃	—	2	1	no	—
644	C₂×Dic₁₃	—	2	1	no	—
645	C₂×Dic₁₃	—	2	1	no	—
646	C₂×Dic₁₃	—	2	1	no	—
647	C₂×Dic₁₃	—	2	1	no	—
648	C₂×Dic₁₃	—	2	1	no	—
649	C₂×Dic₁₃	—	2	1	no	—
650	C₂×Dic₁₃	—	2	1	no	—
651	C₂×Dic₁₃	—	2	1	no	—
652	C₂×Dic₁₃	—	2	1	no	—
653	C₂×Dic₁₃	—	4	4	no	—
654	C₂×Dic₁₃	C₂³×C₄	1	2	yes	—
655	C₂×Dic₁₃	C₂³×C₄	1	2	yes	—
656	C₂×Dic₁₃	C₂³×C₄	1	2	yes	—
657	C₂×Dic₁₃	C₂³×C₄	1	2	yes	—
658	C₂×Dic₁₃	C₂³×C₄	1	2	yes	—
659	C₂×Dic₁₃	C₂³×C₄	1	2	yes	—
660	C₂×Dic₁₃	C₂³×C₄	1	2	yes	—
661	C₂×Dic₁₃	C₂×#41	1	2	yes	—
662	C₂×Dic₁₃	C₂×#41	1	2	yes	—
663	C₂×Dic₁₃	C₂×#41	1	2	yes	—
664	C₂×Dic₁₃	C₂×#41	1	2	yes	—
665	C₂×Dic₁₃	C₂×#41	1	2	yes	—
666	C₂×Dic₁₃	C₂×#41	1	2	yes	—
667	C₂×Dic₁₃	C₂×#41	1	2	yes	—
668	C₂×Dic₁₃	C₂×#41	1	2	yes	—
669	C₂×Dic₁₃	2₋¹⁺⁴	1	2	yes	—
670	C₄×D₁₃	—	2	8	no	—
671	C₄×D₁₃	—	4	4	no	—
672	C₄×D₁₃	—	4	4	no	—
673	Dic₂₆	—	2	8	no	—
674	Dic₂₆	—	2	8	no	—
675	Dic₂₆	—	2	8	no	—
676	#556	—	13	16	no	—
677	C₂×C₄⋊Q₈	—	13	1	no	—
678	C₂×#126	—	13	1	no	—
679	C₂×#126	—	13	1	no	—
680	C₂×#126	—	13	1	no	—
681	C₂×#126	C₂×D₁₃	1	1	yes	characteristic
682	C₂×#124	—	13	1	no	—
683	C₂×#124	—	13	1	no	—
684	C₂×C₂²⋊Q₈	—	13	1	no	—
685	C₂×C₂²⋊Q₈	—	13	1	no	—
686	C₂×C₄×Q₈	—	13	1	no	—
687	C₂×C₄×Q₈	—	13	1	no	—
688	C₂×C₄×Q₈	—	13	1	no	—
689	C₂×C₄×Q₈	—	13	1	no	—
690	C₂×C₄×Q₈	—	13	1	no	—
691	C₂×C₄×Q₈	—	13	1	no	—
692	C₂×C₄×Q₈	—	13	1	no	—
693	C₂×C₄×Q₈	—	13	1	no	—
694	C₂×C₄×Q₈	—	13	1	no	—
695	C₂×C₄×D₄	—	13	1	no	—
696	C₂×C₄×D₄	—	13	1	no	—
697	C₂×C₄×D₄	—	13	1	no	—
698	C₂×#117	—	13	1	no	—
699	C₂×#117	—	13	1	no	—
700	C₂×#117	—	13	1	no	—
701	C₂×#117	—	13	1	no	—
702	C₂²×C₄²	—	13	1	no	—
703	C₂²×C₄²	—	13	1	no	—
704	#391	—	13	1	no	—
705	#391	—	13	1	no	—
706	#391	—	13	1	no	—
707	#391	—	13	1	no	—
708	#391	—	13	1	no	—
709	#391	—	13	1	no	—
710	#390	—	13	1	no	—
711	#390	—	13	1	no	—
712	#389	—	13	1	no	—
713	#389	—	13	1	no	—
714	#389	—	13	1	no	—
715	#389	—	13	1	no	—
716	#389	—	13	1	no	—
717	#389	C₂×D₁₃	1	1	yes	characteristic
718	#388	—	13	1	no	—
719	#388	—	13	1	no	—
720	#388	—	13	1	no	—
721	#388	—	13	1	no	—
722	#388	—	13	1	no	—
723	#388	—	13	1	no	—
724	#388	—	13	1	no	—
725	#388	—	13	1	no	—
726	#388	—	13	1	no	—
727	#388	—	13	1	no	—
728	#388	—	13	1	no	—
729	#388	—	13	1	no	—
730	#388	—	13	1	no	—
731	#388	—	13	1	no	—
732	#388	—	13	1	no	—
733	#388	—	13	1	no	—
734	#388	—	13	1	no	—
735	#388	C₂×D₁₃	1	1	yes	characteristic
736	#388	C₂×D₁₃	1	1	yes	characteristic
737	#388	C₂×D₁₃	1	1	yes	characteristic
738	#387	—	13	1	no	—
739	#387	—	13	1	no	—
740	#387	—	13	1	no	—
741	#387	—	13	1	no	—
742	#387	—	13	1	no	—
743	#387	—	13	1	no	—
744	#387	—	13	1	no	—
745	#387	—	13	1	no	—
746	#387	—	13	1	no	—
747	#387	—	13	1	no	—
748	#387	—	13	1	no	—
749	#387	—	13	1	no	—
750	#387	—	13	1	no	—
751	#387	C₂×D₁₃	1	1	yes	characteristic
752	#387	C₂×D₁₃	1	1	yes	characteristic
753	#387	C₂×D₁₃	1	1	yes	characteristic
754	#385	—	13	1	no	—
755	#385	—	13	1	no	—
756	#385	—	13	1	no	—
757	#385	C₂×D₁₃	1	1	yes	characteristic
758	#384	—	13	1	no	—
759	#383	—	13	1	no	—
760	#383	—	13	1	no	—
761	#383	—	13	1	no	—
762	#383	—	13	1	no	—
763	#382	—	13	1	no	—
764	#382	—	13	1	no	—
765	#380	—	13	1	no	—
766	#380	—	13	1	no	—
767	C₄×C₄⋊C₄	—	13	1	no	—
768	C₄×C₄⋊C₄	—	13	1	no	—
769	C₄×C₄⋊C₄	—	13	1	no	—
770	C₄×C₄⋊C₄	—	13	1	no	—
771	C₄×C₄⋊C₄	—	13	1	no	—
772	C₄×C₄⋊C₄	—	13	1	no	—
773	C₄×C₄⋊C₄	—	13	1	no	—
774	C₄×C₄⋊C₄	—	13	1	no	—
775	C₄×C₄⋊C₄	—	13	1	no	—
776	C₄×C₄⋊C₄	—	13	1	no	—
777	C₄×C₄⋊C₄	—	13	1	no	—
778	C₄×C₄⋊C₄	—	13	1	no	—
779	C₄×C₄⋊C₄	—	13	1	no	—
780	C₄×C₄⋊C₄	—	13	1	no	—
781	C₄×C₄⋊C₄	—	13	1	no	—
782	C₄×C₄⋊C₄	—	13	1	no	—
783	C₄×C₄⋊C₄	—	13	1	no	—
784	C₄×C₄⋊C₄	—	13	1	no	—
785	C₄×C₄⋊C₄	—	13	1	no	—
786	C₄×C₄⋊C₄	—	13	1	no	—
787	C₄×C₄⋊C₄	—	13	1	no	—
788	C₄×C₄⋊C₄	—	13	1	no	—
789	C₄×C₄⋊C₄	—	13	1	no	—
790	C₄×C₄⋊C₄	—	13	1	no	—
791	C₄×C₄⋊C₄	—	13	1	no	—
792	C₄×C₄⋊C₄	—	13	1	no	—
793	C₄×C₄⋊C₄	—	13	1	no	—
794	C₄×C₄⋊C₄	—	13	1	no	—
795	C₄×C₄⋊C₄	—	13	1	no	—
796	C₄×C₄⋊C₄	—	13	1	no	—
797	C₄×C₄⋊C₄	—	13	1	no	—
798	C₄×C₄⋊C₄	—	13	1	no	—
799	C₄×C₄⋊C₄	—	13	1	no	—
800	C₄×C₄⋊C₄	C₂×D₁₃	1	1	yes	characteristic
801	C₄×C₄⋊C₄	C₂×D₁₃	1	1	yes	characteristic
802	C₄×C₄⋊C₄	C₂×D₁₃	1	1	yes	characteristic
803	C₄×C₂²⋊C₄	—	13	1	no	—
804	C₄×C₂²⋊C₄	—	13	1	no	—
805	C₄×C₂²⋊C₄	—	13	1	no	—
806	C₄×C₂²⋊C₄	—	13	1	no	—
807	C₄×C₂²⋊C₄	—	13	1	no	—
808	C₄×C₂²⋊C₄	—	13	1	no	—
809	C₄×C₂²⋊C₄	—	13	1	no	—
810	C₄×C₂²⋊C₄	—	13	1	no	—
811	C₄×C₂²⋊C₄	—	13	1	no	—
812	C₄×C₂²⋊C₄	—	13	1	no	—
813	C₄×C₂²⋊C₄	—	13	1	no	—
814	C₄×C₂²⋊C₄	—	13	1	no	—
815	C₄×C₂²⋊C₄	—	13	1	no	—
816	C₄×C₂²⋊C₄	—	13	1	no	—
817	C₄×C₂²⋊C₄	—	13	1	no	—
818	C₄×C₂²⋊C₄	—	13	1	no	—
819	C₄×C₂²⋊C₄	C₂×D₁₃	1	1	yes	characteristic
820	C₄×C₂²⋊C₄	C₂×D₁₃	1	1	yes	characteristic
821	#376	—	13	1	no	—
822	#376	—	13	1	no	—
823	#376	—	13	1	no	—
824	#376	C₂×D₁₃	1	1	yes	characteristic
825	C₄³	—	13	1	no	—
826	C₄³	—	13	1	no	—
827	C₄³	—	13	1	no	—
828	C₄³	—	13	1	no	—
829	C₄³	—	13	1	no	—
830	C₄³	—	13	1	no	—
831	C₄³	—	13	1	no	—
832	C₂²×C₁₃	—	2	2	no	—
833	C₂²×C₁₃	—	2	2	no	—
834	C₂²×C₁₃	—	2	2	no	—
835	C₂²×C₁₃	—	4	1	no	—
836	C₂²×C₁₃	—	4	1	no	—
837	C₂²×C₁₃	—	4	1	no	—
838	C₂²×C₁₃	—	4	1	no	—
839	C₂²×C₁₃	C₂⁴×C₄	1	1	yes	characteristic
840	C₂²×C₁₃	C₂²×#41	1	1	yes	characteristic
841	C₂²×C₁₃	C₂²×#41	1	1	yes	characteristic
842	C₂²×C₁₃	C₂²×#41	1	1	yes	characteristic
843	C₂²×C₁₃	C₂²×#41	1	1	yes	characteristic
844	C₂²×C₁₃	C₂×2₋¹⁺⁴	1	1	yes	characteristic
845	C₂²×C₁₃	#585	1	1	yes	characteristic
846	C₂×D₁₃	—	2	2	no	—
847	C₂×D₁₃	—	2	2	no	—
848	C₂×D₁₃	—	2	2	no	—
849	C₂×D₁₃	—	4	1	no	—
850	C₂×D₁₃	—	4	1	no	—
851	C₂×D₁₃	—	4	1	no	—
852	C₂×D₁₃	—	4	1	no	—
853	C₄×C₁₃	—	2	2	no	—
854	C₄×C₁₃	—	2	2	no	—
855	C₄×C₁₃	—	2	2	no	—
856	C₄×C₁₃	—	2	2	no	—
857	C₄×C₁₃	—	2	2	no	—
858	C₄×C₁₃	—	2	2	no	—
859	C₄×C₁₃	—	2	2	no	—
860	C₄×C₁₃	—	2	2	no	—
861	C₄×C₁₃	—	2	2	no	—
862	C₄×C₁₃	—	2	2	no	—
863	C₄×C₁₃	—	4	1	no	—
864	C₄×C₁₃	—	4	1	no	—
865	C₄×C₁₃	—	4	1	no	—
866	C₄×C₁₃	—	4	1	no	—
867	Dic₁₃	—	2	2	no	—
868	Dic₁₃	—	2	2	no	—
869	Dic₁₃	—	2	2	no	—
870	Dic₁₃	—	2	2	no	—
871	Dic₁₃	—	2	2	no	—
872	Dic₁₃	—	2	2	no	—
873	Dic₁₃	—	2	2	no	—
874	Dic₁₃	—	4	1	no	—
875	Dic₁₃	—	4	1	no	—
876	Dic₁₃	—	4	1	no	—
877	Dic₁₃	—	4	1	no	—
878	Dic₁₃	—	4	1	no	—
879	Dic₁₃	C₄×#41	1	4	yes	—
880	Dic₁₃	C₄×#41	1	4	yes	—
881	Dic₁₃	#556	1	4	yes	complemented
882	C₂²×Q₈	—	13	1	no	—
883	C₂²×Q₈	—	13	1	no	—
884	C₂²×Q₈	—	13	1	no	—
885	C₂²×D₄	—	13	1	no	—
886	C₂³×C₄	—	13	1	no	—
887	C₂³×C₄	—	13	1	no	—
888	C₂³×C₄	—	13	1	no	—
889	C₂³×C₄	—	13	1	no	—
890	C₂³×C₄	—	13	1	no	—
891	C₂³×C₄	C₂²×D₁₃	1	1	yes	characteristic
892	C₄⋊Q₈	—	13	8	no	—
893	#126	—	13	8	no	—
894	#126	—	13	8	no	—
895	#126	—	13	8	no	—
896	#126	C₄×D₁₃	1	8	yes	complemented
897	#124	—	13	8	no	—
898	#124	—	13	8	no	—
899	C₂²⋊Q₈	—	13	8	no	—
900	C₂²⋊Q₈	—	13	8	no	—
901	C₄×Q₈	—	13	8	no	—
902	C₄×Q₈	—	13	8	no	—
903	C₄×Q₈	—	13	8	no	—
904	C₄×Q₈	—	26	4	no	—
905	C₄×Q₈	—	26	4	no	—
906	C₄×Q₈	—	26	4	no	—
907	C₄×Q₈	—	26	4	no	—
908	C₄×Q₈	—	26	4	no	—
909	C₄×Q₈	—	26	4	no	—
910	C₄×D₄	—	13	8	no	—
911	C₄×D₄	—	26	4	no	—
912	C₄×D₄	—	26	4	no	—
913	#117	—	13	8	no	—
914	#117	—	13	8	no	—
915	#117	—	26	4	no	—
916	#117	—	26	4	no	—
917	C₂×C₄⋊C₄	—	13	1	no	—
918	C₂×C₄⋊C₄	—	13	1	no	—
919	C₂×C₄⋊C₄	—	13	1	no	—
920	C₂×C₄⋊C₄	—	13	1	no	—
921	C₂×C₄⋊C₄	—	13	1	no	—
922	C₂×C₄⋊C₄	—	13	1	no	—
923	C₂×C₄⋊C₄	—	13	1	no	—
924	C₂×C₄⋊C₄	—	13	1	no	—
925	C₂×C₄⋊C₄	—	13	1	no	—
926	C₂×C₄⋊C₄	—	13	1	no	—
927	C₂×C₄⋊C₄	—	13	1	no	—
928	C₂×C₄⋊C₄	—	13	1	no	—
929	C₂×C₄⋊C₄	—	13	1	no	—
930	C₂×C₄⋊C₄	—	13	1	no	—
931	C₂×C₄⋊C₄	—	13	1	no	—
932	C₂×C₄⋊C₄	—	13	1	no	—
933	C₂×C₄⋊C₄	—	13	1	no	—
934	C₂×C₄⋊C₄	—	13	1	no	—
935	C₂×C₄⋊C₄	—	13	1	no	—
936	C₂×C₄⋊C₄	—	13	1	no	—
937	C₂×C₄⋊C₄	—	13	1	no	—
938	C₂×C₄⋊C₄	—	13	1	no	—
939	C₂×C₄⋊C₄	—	13	1	no	—
940	C₂×C₄⋊C₄	—	13	1	no	—
941	C₂×C₄⋊C₄	—	13	1	no	—
942	C₂×C₄⋊C₄	—	13	1	no	—
943	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
944	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
945	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
946	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
947	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
948	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
949	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
950	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
951	C₂×C₂²⋊C₄	—	13	1	no	—
952	C₂×C₂²⋊C₄	—	13	1	no	—
953	C₂×C₂²⋊C₄	—	13	1	no	—
954	C₂×C₂²⋊C₄	—	13	1	no	—
955	C₂×C₂²⋊C₄	—	13	1	no	—
956	C₂×C₂²⋊C₄	—	13	1	no	—
957	C₂×C₂²⋊C₄	—	13	1	no	—
958	C₂×C₂²⋊C₄	—	13	1	no	—
959	C₂×C₂²⋊C₄	—	13	1	no	—
960	C₂×C₂²⋊C₄	—	13	1	no	—
961	C₂×C₂²⋊C₄	—	13	1	no	—
962	C₂×C₂²⋊C₄	—	13	1	no	—
963	C₂×C₂²⋊C₄	—	13	1	no	—
964	C₂×C₂²⋊C₄	—	13	1	no	—
965	C₂×C₂²⋊C₄	—	13	1	no	—
966	C₂×C₂²⋊C₄	—	13	1	no	—
967	C₂×C₂²⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
968	C₂×C₂²⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
969	C₂×C₂²⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
970	C₂×C₂²⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
971	C₂×C₂²⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
972	C₂×C₂²⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
973	C₂×C₄²	—	13	1	no	—
974	C₂×C₄²	—	13	1	no	—
975	C₂×C₄²	—	13	1	no	—
976	C₂×C₄²	—	13	1	no	—
977	C₂×C₄²	—	13	1	no	—
978	C₂×C₄²	—	13	1	no	—
979	C₂×C₄²	—	13	1	no	—
980	C₂×C₄²	—	13	1	no	—
981	C₂×C₄²	—	13	1	no	—
982	C₂×C₄²	—	13	1	no	—
983	C₂×C₄²	—	13	1	no	—
984	C₂×C₄²	—	13	1	no	—
985	C₂×C₄²	—	13	1	no	—
986	C₂×C₄²	—	13	1	no	—
987	C₂×C₄²	—	13	1	no	—
988	C₂×C₄²	—	13	1	no	—
989	C₂×C₄²	—	13	1	no	—
990	C₂×C₄²	—	13	1	no	—
991	C₂×C₄²	—	13	1	no	—
992	C₂×C₄²	—	13	1	no	—
993	C₂×C₄²	—	13	1	no	—
994	C₂×C₄²	—	13	1	no	—
995	C₂×C₄²	—	13	1	no	—
996	C₂×C₄²	—	13	1	no	—
997	C₂×C₄²	—	13	1	no	—
998	C₂×C₄²	—	13	1	no	—
999	C₂×C₄²	—	13	1	no	—
1000	C₂×C₄²	—	13	1	no	—
1001	C₂×C₄²	—	13	1	no	—
1002	C₂×C₄²	—	13	1	no	—
1003	C₂×C₄²	—	13	1	no	—
1004	C₂×C₄²	—	13	1	no	—
1005	C₂×C₄²	—	13	1	no	—
1006	C₂×C₄²	—	13	1	no	—
1007	C₂×C₄²	—	13	1	no	—
1008	C₂×C₄²	—	13	1	no	—
1009	C₂×C₄²	—	13	1	no	—
1010	C₂×C₄²	—	26	4	no	—
1011	C₂×C₄²	—	26	4	no	—
1012	C₂×C₄²	C₂²×D₁₃	1	1	yes	characteristic
1013	C₂×C₄²	C₂²×D₁₃	1	1	yes	characteristic
1014	C₂×C₄²	C₂²×D₁₃	1	1	yes	characteristic
1015	C₂×C₄²	C₂²×D₁₃	1	1	yes	characteristic
1016	C₂×C₄²	C₂²×D₁₃	1	1	yes	characteristic
1017	C₂×C₄²	C₂²×D₁₃	1	1	yes	characteristic
1018	C₂×C₄²	C₂²×D₁₃	1	1	yes	characteristic
1019	C₂×C₄²	C₂²×D₁₃	1	1	yes	characteristic
1020	#95	—	13	1	no	—
1021	#95	—	13	1	no	—
1022	#95	—	13	1	no	—
1023	#95	—	13	1	no	—
1024	#95	—	13	1	no	—
1025	#95	—	13	1	no	—
1026	#95	—	13	1	no	—
1027	#95	—	13	1	no	—
1028	#95	—	13	1	no	—
1029	#95	—	13	1	no	—
1030	#95	—	13	1	no	—
1031	#95	—	13	1	no	—
1032	#95	—	13	1	no	—
1033	#95	—	13	1	no	—
1034	#95	—	13	1	no	—
1035	#95	—	13	1	no	—
1036	#95	—	13	1	no	—
1037	#95	—	13	1	no	—
1038	#95	—	13	1	no	—
1039	#95	—	13	1	no	—
1040	#95	—	13	1	no	—
1041	#95	—	13	1	no	—
1042	#95	—	13	1	no	—
1043	#95	—	13	1	no	—
1044	#95	—	13	1	no	—
1045	#95	—	13	1	no	—
1046	#95	—	13	1	no	—
1047	#95	—	13	1	no	—
1048	#95	—	13	1	no	—
1049	#95	—	13	1	no	—
1050	#95	—	13	1	no	—
1051	#95	—	13	1	no	—
1052	#95	C₂²×D₁₃	1	1	yes	characteristic
1053	#95	C₂²×D₁₃	1	1	yes	characteristic
1054	#95	C₂²×D₁₃	1	1	yes	characteristic
1055	#95	C₂²×D₁₃	1	1	yes	characteristic
1056	#95	C₂²×D₁₃	1	1	yes	characteristic
1057	#95	C₂²×D₁₃	1	1	yes	characteristic
1058	#95	C₂²×D₁₃	1	1	yes	characteristic
1059	#95	C₂²×D₁₃	1	1	yes	characteristic
1060	#95	C₂²×D₁₃	1	1	yes	characteristic
1061	#95	C₂²×D₁₃	1	1	yes	characteristic
1062	#95	C₂²×D₁₃	1	1	yes	characteristic
1063	#95	C₂²×D₁₃	1	1	yes	characteristic
1064	C₂×C₁₃	—	4	2	no	—
1065	C₂×C₁₃	C₂×C₄×#41	1	1	yes	characteristic
1066	C₂×C₁₃	C₂×C₄×#41	1	1	yes	characteristic
1067	C₂×C₁₃	C₄×2₋¹⁺⁴	1	1	yes	characteristic
1068	C₂×C₁₃	C₂×#556	1	1	yes	characteristic
1069	C₂×C₁₃	#3475	1	1	yes	characteristic
1070	C₂×C₁₃	#3480	1	1	yes	characteristic
1071	C₂×C₁₃	#3482	1	1	yes	characteristic
1072	D₁₃	—	4	2	no	—
1073	C₂⁴	—	13	1	no	—
1074	C₂⁴	C₂³×D₁₃	1	1	yes	characteristic
1075	C₂×Q₈	—	13	4	no	—
1076	C₂×Q₈	—	13	4	no	—
1077	C₂×Q₈	—	13	4	no	—
1078	C₂×Q₈	—	26	2	no	—
1079	C₂×Q₈	—	26	2	no	—
1080	C₂×Q₈	—	26	2	no	—
1081	C₂×Q₈	—	26	2	no	—
1082	C₂×Q₈	—	26	2	no	—
1083	C₂×Q₈	—	26	2	no	—
1084	C₂×D₄	—	13	4	no	—
1085	C₂×D₄	—	26	2	no	—
1086	C₂×D₄	—	26	2	no	—
1087	C₂²×C₄	—	2	2	no	—
1088	C₂²×C₄	—	2	2	no	—
1089	C₂²×C₄	—	4	1	no	—
1090	C₂²×C₄	—	13	1	no	—
1091	C₂²×C₄	—	13	1	no	—
1092	C₂²×C₄	—	13	1	no	—
1093	C₂²×C₄	—	13	4	no	—
1094	C₂²×C₄	—	13	1	no	—
1095	C₂²×C₄	—	13	1	no	—
1096	C₂²×C₄	—	13	1	no	—
1097	C₂²×C₄	—	13	1	no	—
1098	C₂²×C₄	—	13	1	no	—
1099	C₂²×C₄	—	13	1	no	—
1100	C₂²×C₄	—	13	1	no	—
1101	C₂²×C₄	—	13	4	no	—
1102	C₂²×C₄	—	13	1	no	—
1103	C₂²×C₄	—	13	1	no	—
1104	C₂²×C₄	—	13	1	no	—
1105	C₂²×C₄	—	13	1	no	—
1106	C₂²×C₄	—	13	1	no	—
1107	C₂²×C₄	—	26	2	no	—
1108	C₂²×C₄	—	26	2	no	—
1109	C₂²×C₄	—	26	2	no	—
1110	C₂²×C₄	—	26	2	no	—
1111	C₂²×C₄	—	26	2	no	—
1112	C₂²×C₄	—	26	2	no	—
1113	C₂²×C₄	—	26	2	no	—
1114	C₂²×C₄	—	26	2	no	—
1115	C₂²×C₄	—	26	2	no	—
1116	C₂²×C₄	—	26	2	no	—
1117	C₂²×C₄	—	26	2	no	—
1118	C₂²×C₄	—	26	2	no	—
1119	C₂²×C₄	—	52	1	no	—
1120	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1121	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1122	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1123	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1124	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1125	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1126	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1127	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1128	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1129	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1130	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1131	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1132	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1133	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1134	C₄⋊C₄	—	2	2	no	—
1135	C₄⋊C₄	—	2	2	no	—
1136	C₄⋊C₄	—	2	2	no	—
1137	C₄⋊C₄	—	2	2	no	—
1138	C₄⋊C₄	—	4	1	no	—
1139	C₄⋊C₄	—	13	4	no	—
1140	C₄⋊C₄	—	13	4	no	—
1141	C₄⋊C₄	—	13	4	no	—
1142	C₄⋊C₄	—	13	4	no	—
1143	C₄⋊C₄	—	13	4	no	—
1144	C₄⋊C₄	—	13	4	no	—
1145	C₄⋊C₄	—	13	4	no	—
1146	C₄⋊C₄	—	13	4	no	—
1147	C₄⋊C₄	—	13	4	no	—
1148	C₄⋊C₄	—	13	4	no	—
1149	C₄⋊C₄	—	13	4	no	—
1150	C₄⋊C₄	—	26	2	no	—
1151	C₄⋊C₄	—	26	2	no	—
1152	C₄⋊C₄	—	26	2	no	—
1153	C₄⋊C₄	—	26	2	no	—
1154	C₄⋊C₄	—	26	2	no	—
1155	C₄⋊C₄	—	26	2	no	—
1156	C₄⋊C₄	—	26	2	no	—
1157	C₄⋊C₄	—	26	2	no	—
1158	C₄⋊C₄	—	26	2	no	—
1159	C₄⋊C₄	—	26	2	no	—
1160	C₄⋊C₄	—	26	2	no	—
1161	C₄⋊C₄	—	26	2	no	—
1162	C₄⋊C₄	—	26	2	no	—
1163	C₄⋊C₄	—	26	2	no	—
1164	C₄⋊C₄	—	52	1	no	—
1165	C₄⋊C₄	C₂×C₄×D₁₃	1	4	yes	—
1166	C₄⋊C₄	C₂×C₄×D₁₃	1	4	yes	—
1167	C₄⋊C₄	C₂×C₄×D₁₃	1	4	yes	—
1168	C₂²⋊C₄	—	2	2	no	—
1169	C₂²⋊C₄	—	2	2	no	—
1170	C₂²⋊C₄	—	4	1	no	—
1171	C₂²⋊C₄	—	13	4	no	—
1172	C₂²⋊C₄	—	13	4	no	—
1173	C₂²⋊C₄	—	13	4	no	—
1174	C₂²⋊C₄	—	13	4	no	—
1175	C₂²⋊C₄	—	13	4	no	—
1176	C₂²⋊C₄	—	13	4	no	—
1177	C₂²⋊C₄	—	13	4	no	—
1178	C₂²⋊C₄	—	26	2	no	—
1179	C₂²⋊C₄	—	26	2	no	—
1180	C₂²⋊C₄	—	26	2	no	—
1181	C₂²⋊C₄	—	26	2	no	—
1182	C₂²⋊C₄	—	26	2	no	—
1183	C₂²⋊C₄	—	26	2	no	—
1184	C₂²⋊C₄	—	52	1	no	—
1185	C₂²⋊C₄	—	52	1	no	—
1186	C₂²⋊C₄	—	52	1	no	—
1187	C₂²⋊C₄	C₂×C₄×D₁₃	1	4	yes	—
1188	C₂²⋊C₄	C₂×C₄×D₁₃	1	4	yes	—
1189	C₂²⋊C₄	C₂×C₄×D₁₃	1	4	yes	—
1190	C₄²	—	2	2	no	—
1191	C₄²	—	2	2	no	—
1192	C₄²	—	2	2	no	—
1193	C₄²	—	2	2	no	—
1194	C₄²	—	4	1	no	—
1195	C₄²	—	4	1	no	—
1196	C₄²	—	4	1	no	—
1197	C₄²	—	13	4	no	—
1198	C₄²	—	13	4	no	—
1199	C₄²	—	13	4	no	—
1200	C₄²	—	13	4	no	—
1201	C₄²	—	13	4	no	—
1202	C₄²	—	13	4	no	—
1203	C₄²	—	13	4	no	—
1204	C₄²	—	13	4	no	—
1205	C₄²	—	26	2	no	—
1206	C₄²	—	26	2	no	—
1207	C₄²	—	26	2	no	—
1208	C₄²	—	26	2	no	—
1209	C₄²	—	26	2	no	—
1210	C₄²	—	26	2	no	—
1211	C₄²	—	26	2	no	—
1212	C₄²	—	26	2	no	—
1213	C₄²	—	26	2	no	—
1214	C₄²	—	26	2	no	—
1215	C₄²	—	26	2	no	—
1216	C₄²	—	26	2	no	—
1217	C₄²	—	26	2	no	—
1218	C₄²	—	26	2	no	—
1219	C₄²	—	26	2	no	—
1220	C₄²	—	26	2	no	—
1221	C₄²	—	26	2	no	—
1222	C₄²	—	26	2	no	—
1223	C₄²	—	26	2	no	—
1224	C₄²	—	26	2	no	—
1225	C₄²	—	26	2	no	—
1226	C₄²	—	26	2	no	—
1227	C₄²	—	26	2	no	—
1228	C₄²	—	26	2	no	—
1229	C₄²	—	26	2	no	—
1230	C₄²	—	52	1	no	—
1231	C₄²	—	52	1	no	—
1232	C₄²	—	52	1	no	—
1233	C₄²	—	52	1	no	—
1234	C₄²	C₂×C₄×D₁₃	1	4	yes	—
1235	C₁₃	C₄×#556	1	1	yes	characteristic, complemented, Sylow
1236	C₂³	—	2	1	no	—
1237	C₂³	—	2	1	no	—
1238	C₂³	—	2	1	no	—
1239	C₂³	—	2	1	no	—
1240	C₂³	—	2	1	no	—
1241	C₂³	—	2	1	no	—
1242	C₂³	—	13	2	no	—
1243	C₂³	—	26	1	no	—
1244	C₂³	—	26	1	no	—
1245	C₂³	—	26	1	no	—
1246	C₂³	—	26	1	no	—
1247	C₂³	—	26	1	no	—
1248	C₂³	—	26	1	no	—
1249	C₂³	C₂²×C₄×D₁₃	1	2	yes	—
1250	C₂³	C₂⁴×D₁₃	1	1	yes	characteristic
1251	Q₈	—	26	8	no	—
1252	Q₈	—	26	8	no	—
1253	Q₈	—	26	8	no	—
1254	D₄	—	26	8	no	—
1255	C₂×C₄	—	2	1	no	—
1256	C₂×C₄	—	2	1	no	—
1257	C₂×C₄	—	2	1	no	—
1258	C₂×C₄	—	2	1	no	—
1259	C₂×C₄	—	2	1	no	—
1260	C₂×C₄	—	2	1	no	—
1261	C₂×C₄	—	2	1	no	—
1262	C₂×C₄	—	2	1	no	—
1263	C₂×C₄	—	2	1	no	—
1264	C₂×C₄	—	2	1	no	—
1265	C₂×C₄	—	2	1	no	—
1266	C₂×C₄	—	2	1	no	—
1267	C₂×C₄	—	2	1	no	—
1268	C₂×C₄	—	2	1	no	—
1269	C₂×C₄	—	2	1	no	—
1270	C₂×C₄	—	2	1	no	—
1271	C₂×C₄	—	2	1	no	—
1272	C₂×C₄	—	2	1	no	—
1273	C₂×C₄	—	2	1	no	—
1274	C₂×C₄	—	2	1	no	—
1275	C₂×C₄	—	2	1	no	—
1276	C₂×C₄	—	2	1	no	—
1277	C₂×C₄	—	2	1	no	—
1278	C₂×C₄	—	2	1	no	—
1279	C₂×C₄	—	2	1	no	—
1280	C₂×C₄	—	2	1	no	—
1281	C₂×C₄	—	2	1	no	—
1282	C₂×C₄	—	2	1	no	—
1283	C₂×C₄	—	2	1	no	—
1284	C₂×C₄	—	2	1	no	—
1285	C₂×C₄	—	2	1	no	—
1286	C₂×C₄	—	2	1	no	—
1287	C₂×C₄	—	4	4	no	—
1288	C₂×C₄	—	13	2	no	—
1289	C₂×C₄	—	13	2	no	—
1290	C₂×C₄	—	13	2	no	—
1291	C₂×C₄	—	13	2	no	—
1292	C₂×C₄	—	13	2	no	—
1293	C₂×C₄	—	13	2	no	—
1294	C₂×C₄	—	13	2	no	—
1295	C₂×C₄	—	13	2	no	—
1296	C₂×C₄	—	13	2	no	—
1297	C₂×C₄	—	13	2	no	—
1298	C₂×C₄	—	13	2	no	—
1299	C₂×C₄	—	13	2	no	—
1300	C₂×C₄	—	13	2	no	—
1301	C₂×C₄	—	13	2	no	—
1302	C₂×C₄	—	13	2	no	—
1303	C₂×C₄	—	13	2	no	—
1304	C₂×C₄	—	26	8	no	—
1305	C₂×C₄	—	26	8	no	—
1306	C₂×C₄	—	26	1	no	—
1307	C₂×C₄	—	26	1	no	—
1308	C₂×C₄	—	26	1	no	—
1309	C₂×C₄	—	26	1	no	—
1310	C₂×C₄	—	26	1	no	—
1311	C₂×C₄	—	26	1	no	—
1312	C₂×C₄	—	26	1	no	—
1313	C₂×C₄	—	26	1	no	—
1314	C₂×C₄	—	26	1	no	—
1315	C₂×C₄	—	26	1	no	—
1316	C₂×C₄	—	26	1	no	—
1317	C₂×C₄	—	26	1	no	—
1318	C₂×C₄	—	26	1	no	—
1319	C₂×C₄	—	26	1	no	—
1320	C₂×C₄	—	26	1	no	—
1321	C₂×C₄	—	26	1	no	—
1322	C₂×C₄	—	26	1	no	—
1323	C₂×C₄	—	26	1	no	—
1324	C₂×C₄	—	26	1	no	—
1325	C₂×C₄	—	26	1	no	—
1326	C₂×C₄	—	26	1	no	—
1327	C₂×C₄	—	26	1	no	—
1328	C₂×C₄	—	26	1	no	—
1329	C₂×C₄	—	26	1	no	—
1330	C₂×C₄	—	26	1	no	—
1331	C₂×C₄	—	26	1	no	—
1332	C₂×C₄	—	26	1	no	—
1333	C₂×C₄	—	26	1	no	—
1334	C₂×C₄	—	26	1	no	—
1335	C₂×C₄	—	52	4	no	—
1336	C₂×C₄	—	52	4	no	—
1337	C₂×C₄	—	52	4	no	—
1338	C₂×C₄	C₂²×C₄×D₁₃	1	2	yes	—
1339	C₂×C₄	C₂²×C₄×D₁₃	1	2	yes	—
1340	C₂×C₄	C₂²×C₄×D₁₃	1	2	yes	—
1341	C₂×C₄	C₂²×C₄×D₁₃	1	2	yes	—
1342	C₂×C₄	C₂²×C₄×D₁₃	1	2	yes	—
1343	C₂×C₄	C₂²×C₄×D₁₃	1	2	yes	—
1344	C₂×C₄	#41×D₁₃	1	2	yes	—
1345	C₂×C₄	#41×D₁₃	1	2	yes	—
1346	C₂×C₄	#41×D₁₃	1	2	yes	—
1347	C₂×C₄	#41×D₁₃	1	2	yes	—
1348	C₂²	—	2	2	no	—
1349	C₂²	—	2	2	no	—
1350	C₂²	—	2	2	no	—
1351	C₂²	—	4	1	no	—
1352	C₂²	—	4	1	no	—
1353	C₂²	—	4	1	no	—
1354	C₂²	—	4	1	no	—
1355	C₂²	—	26	2	no	—
1356	C₂²	—	26	2	no	—
1357	C₂²	—	26	2	no	—
1358	C₂²	—	52	1	no	—
1359	C₂²	—	52	1	no	—
1360	C₂²	—	52	1	no	—
1361	C₂²	—	52	1	no	—
1362	C₂²	C₂³×C₄×D₁₃	1	1	yes	characteristic
1363	C₂²	C₂×#41×D₁₃	1	1	yes	characteristic
1364	C₂²	C₂×#41×D₁₃	1	1	yes	characteristic
1365	C₂²	C₂×#41×D₁₃	1	1	yes	characteristic
1366	C₂²	C₂×#41×D₁₃	1	1	yes	characteristic
1367	C₂²	#11719650	1	1	yes	characteristic
1368	C₂²	D₁₃×2₋¹⁺⁴	1	1	yes	characteristic
1369	C₄	—	2	2	no	—
1370	C₄	—	2	2	no	—
1371	C₄	—	2	2	no	—
1372	C₄	—	2	2	no	—
1373	C₄	—	2	2	no	—
1374	C₄	—	2	2	no	—
1375	C₄	—	2	2	no	—
1376	C₄	—	2	2	no	—
1377	C₄	—	2	2	no	—
1378	C₄	—	2	2	no	—
1379	C₄	—	4	1	no	—
1380	C₄	—	4	1	no	—
1381	C₄	—	4	1	no	—
1382	C₄	—	4	1	no	—
1383	C₄	—	13	4	no	—
1384	C₄	—	13	4	no	—
1385	C₄	—	13	4	no	—
1386	C₄	—	26	2	no	—
1387	C₄	—	26	2	no	—
1388	C₄	—	26	2	no	—
1389	C₄	—	26	2	no	—
1390	C₄	—	26	2	no	—
1391	C₄	—	26	2	no	—
1392	C₄	—	26	2	no	—
1393	C₄	—	52	1	no	—
1394	C₄	—	52	1	no	—
1395	C₄	—	52	1	no	—
1396	C₄	—	52	1	no	—
1397	C₄	—	52	1	no	—
1398	C₂	—	4	2	no	—
1399	C₂	—	52	2	no	—
1400	C₂	C₄×#41×D₁₃	1	1	yes	characteristic
1401	C₂	C₄×#41×D₁₃	1	1	yes	characteristic
1402	C₂	#13128047	1	1	yes	characteristic
1403	C₂	D₁₃×#556	1	1	yes	characteristic
1404	C₂	#13128391	1	1	yes	characteristic
1405	C₂	#13128430	1	1	yes	characteristic
1406	C₂	#13128450	1	1	yes	characteristic

	subgroup	G/H
center, Frattini	C₂³	C₂⁴×D₁₃
commutator	C₂²×C₁₃	C₂⁴×C₄
Fitting	C₁₃×#2373	C₂
socle, cosocle	C₂³×C₁₃	C₂⁵
prime radical	C₂²×C₂²⋊D₁₃	C₂³
hypercenter	#2373	D₁₃
hypocenter	C₁₃	C₄×#556
LCS	G ▷ C₂²×C₁₃ ▷ C₁₃
UCS	C₁ ◁ C₂³ ◁ #2373

Complements

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

N	H ≅ G/N	type
2. #13117959	C₂	semidirect
3. #13117957	C₂	semidirect
4. #13117950	C₂	semidirect
7. #13117891	C₂	semidirect
8. #13117866	C₂	semidirect
9. #13117864	C₂	semidirect
10. #13117802	C₂	semidirect
11. #13117798	C₂	semidirect
12. #13117790	C₂	semidirect
14. #13117730	C₂	semidirect
15. #13117726	C₂	semidirect
16. #13117407	C₂	semidirect
17. #13117390	C₂	semidirect
18. #126×Dic₁₃	C₂	semidirect
19. #13117386	C₂	semidirect
20. #13117386	C₂	semidirect
23. #13117370	C₂	semidirect
24. #13117368	C₂	semidirect
25. C₄×#88141	C₂	semidirect
26. C₄×#88141	C₂	semidirect
27. C₄×#88141	C₂	semidirect
29. #13117175	C₂	semidirect
30. C₄×#88131	C₂	semidirect
31. C₁₃×#2373	C₂	semidirect
35. #11719407	C₄	semidirect
198. C₁₃×#126	C₂×C₄	semidirect
302. #88152	C₂×C₄	semidirect
303. #88152	C₂×C₄	semidirect
304. #88150	C₂×C₄	semidirect
305. #88142	C₂×C₄	semidirect
310. #88141	C₂×C₄	semidirect
311. #88141	C₂×C₄	semidirect
316. #88133	C₂×C₄	semidirect
317. #88132	C₂×C₄	semidirect
319. #88131	C₂×C₄	semidirect
321. #88126	C₂×C₄	semidirect
325. C₄×Dic₂₆	C₂×C₄	semidirect
537. #2373	D₁₃	semidirect
881. Dic₁₃	#556	semidirect
896. #126	C₄×D₁₃	semidirect
1235. C₁₃	C₄×#556	semidirect

Maximal subgroups

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

subgroup	index
C₂×#11719407	2
#13117959	2
#13117957	2
#13117950	2
#13117908	2
#13117904	2
#13117891	2
#13117866	2
#13117864	2
#13117802	2
#13117798	2
#13117790	2
#13117782	2
#13117730	2
#13117726	2
#13117407	2
#13117390	2
#126×Dic₁₃	2
#13117386	2
#13117377	2
#13117370	2
#13117368	2
C₄×#88141	2
C₄×#88135	2
#13117175	2
C₄×#88131	2
C₁₃×#2373	2
C₄×#556	13