Subgroups — C₄×#11719345 #16022045

Order 3328.

2294 conjugacy classes of subgroups.

The subgroup lattice has 1460 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×#11719345	C₂	1	1	yes	maximal, characteristic
2	#13117650	C₂	1	1	yes	maximal, characteristic, complemented
3	#13117648	C₂	1	1	yes	maximal, characteristic, complemented
4	#13117632	C₂	1	1	yes	maximal, characteristic, complemented
5	#13117622	C₂	1	1	yes	maximal, characteristic, complemented
6	#13117606	C₂	1	1	yes	maximal, characteristic, complemented
7	#13117604	C₂	1	1	yes	maximal, characteristic, complemented
8	#13117594	C₂	1	1	yes	maximal, characteristic, complemented
9	#13117590	C₂	1	1	yes	maximal, characteristic, complemented
10	#13117579	C₂	1	1	yes	maximal, characteristic, complemented
11	#13117542	C₂	1	1	yes	maximal, characteristic, complemented
12	#13117528	C₂	1	1	yes	maximal, characteristic
13	#13117513	C₂	1	1	yes	maximal, characteristic, complemented
14	#13117485	C₂	1	1	yes	maximal, characteristic, complemented
15	#13117478	C₂	1	1	yes	maximal, characteristic, complemented
16	#13117442	C₂	1	1	yes	maximal, characteristic, complemented
17	C₄×#88198	C₂	1	1	yes	maximal, characteristic, complemented
18	C₄×#88152	C₂	1	1	yes	maximal, characteristic, complemented
19	C₄×#88133	C₂	1	1	yes	maximal, characteristic, complemented
20	C₄×#88201	C₂	1	1	yes	maximal, characteristic, complemented
21	C₄×#88139	C₂	1	1	yes	maximal, characteristic, complemented
22	C₄×#88139	C₂	1	1	yes	maximal, characteristic, complemented
23	C₄×#88150	C₂	1	1	yes	maximal, characteristic, complemented
24	C₄×#88150	C₂	1	1	yes	maximal, characteristic, complemented
25	C₄×#88148	C₂	1	1	yes	maximal, characteristic, complemented
26	C₄×#88183	C₂	1	1	yes	maximal, characteristic, complemented
27	C₄×#88138	C₂	1	1	yes	maximal, characteristic
28	C₄×#88141	C₂	1	1	yes	maximal, characteristic, complemented
29	C₄²×C₂²⋊D₁₃	C₂	1	1	yes	maximal, characteristic, complemented
30	C₄×#88146	C₂	1	1	yes	maximal, characteristic, complemented
31	C₄×C₁₃×C₂²⋊Q₈	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂×C₁₃×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
33	C₂×C₄×Q₈×C₁₃	C₂²	1	1	yes	characteristic
34	C₂²×C₄²×C₁₃	C₂²	1	1	yes	characteristic
35	C₂×#88201	C₂²	1	1	yes	characteristic
36	C₂×#88198	C₂²	1	1	yes	characteristic
37	C₂×#88183	C₂²	1	1	yes	characteristic
38	C₂×C₄×C₂²⋊D₁₃	C₂²	1	1	yes	characteristic
39	C₂×C₄×C₂²⋊D₁₃	C₂²	1	1	yes	characteristic
40	C₂×C₄×C₂²⋊D₁₃	C₂²	1	1	yes	characteristic
41	C₂×C₄×C₂²⋊D₁₃	C₂²	1	1	yes	characteristic
42	#11719345	C₄	1	16	yes	direct product factor
43	C₂×#88152	C₂²	1	1	yes	characteristic
44	C₂×#88150	C₂²	1	1	yes	characteristic
45	C₂×#88150	C₂²	1	1	yes	characteristic
46	C₂×#88148	C₂²	1	1	yes	characteristic
47	C₂×#88146	C₂²	1	1	yes	characteristic
48	C₂×#88146	C₂²	1	1	yes	characteristic
49	C₂×#88141	C₂²	1	1	yes	characteristic
50	C₂×#88141	C₂²	1	1	yes	characteristic
51	C₂×#88139	C₂²	1	1	yes	characteristic
52	C₂×#88139	C₂²	1	1	yes	characteristic
53	C₂×#88138	C₂²	1	1	yes	characteristic
54	C₂×#88133	C₂²	1	1	yes	characteristic
55	C₂×C₄×D₅₂	C₂²	1	1	yes	characteristic
56	C₂×C₄²×D₁₃	C₂²	1	1	yes	characteristic
57	C₂×C₄²×D₁₃	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×#391	C₂²	1	1	yes	characteristic
61	C₁₃×#389	C₂²	1	1	yes	characteristic
62	C₁₃×#387	C₂²	1	1	yes	characteristic
63	C₁₃×#387	C₂²	1	1	yes	characteristic
64	C₁₃×#385	C₂²	1	1	yes	characteristic
65	C₁₃×#385	C₂²	1	1	yes	characteristic
66	C₁₃×#380	C₂²	1	1	yes	characteristic
67	C₄×C₁₃×C₄⋊C₄	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×C₂²⋊C₄	C₂²	1	1	yes	characteristic
71	C₄×C₁₃×C₂²⋊C₄	C₂²	1	1	yes	characteristic
72	#11718891	C₂²	1	1	yes	characteristic
73	#11718891	C₂²	1	1	yes	characteristic
74	#11718874	C₂²	1	1	yes	characteristic
75	#11718872	C₂²	1	1	yes	characteristic
76	#11718871	C₂²	1	1	yes	characteristic
77	C₄×C₂²⋊Dic₁₃	C₂²	1	1	yes	characteristic
78	C₄×C₂²⋊Dic₁₃	C₂²	1	1	yes	characteristic
79	C₄×C₂²⋊Dic₁₃	C₂²	1	1	yes	characteristic
80	C₄×C₂²⋊Dic₁₃	C₂²	1	1	yes	characteristic
81	#11718651	C₂²	1	1	yes	characteristic
82	#11718651	C₂²	1	1	yes	characteristic
83	#11718651	C₂²	1	1	yes	characteristic
84	#11718651	C₂²	1	1	yes	characteristic
85	#11718651	C₂²	1	1	yes	characteristic
86	#11718651	C₂²	1	1	yes	characteristic
87	#11718650	C₂²	1	1	yes	characteristic
88	#11718650	C₂²	1	1	yes	characteristic
89	#11718650	C₂²	1	1	yes	characteristic
90	#11718649	C₂²	1	1	yes	characteristic
91	#11718642	C₂²	1	1	yes	characteristic
92	#11718642	C₂²	1	1	yes	characteristic
93	#11718642	C₂²	1	1	yes	characteristic
94	#11718642	C₂²	1	1	yes	characteristic
95	#11718639	C₂²	1	1	yes	characteristic
96	#11718638	C₂²	1	1	yes	characteristic
97	#11718637	C₂²	1	1	yes	characteristic
98	C₄⋊C₄×Dic₁₃	C₂²	1	1	yes	characteristic
99	C₄⋊C₄×Dic₁₃	C₂²	1	1	yes	characteristic
100	C₄⋊C₄×Dic₁₃	C₂²	1	1	yes	characteristic
101	C₄⋊C₄×Dic₁₃	C₂²	1	1	yes	characteristic
102	#11718635	C₂²	1	1	yes	characteristic
103	#11718633	C₂²	1	1	yes	characteristic
104	#11718633	C₂²	1	1	yes	characteristic
105	#11718633	C₂²	1	1	yes	characteristic
106	#11718633	C₂²	1	1	yes	characteristic
107	#11718633	C₂²	1	1	yes	characteristic
108	#11718633	C₂²	1	1	yes	characteristic
109	#11718618	C₂²	1	1	yes	characteristic
110	#11718618	C₂²	1	1	yes	characteristic
111	#11718618	C₂²	1	1	yes	characteristic
112	#11718617	C₂²	1	1	yes	characteristic
113	#11718612	C₂²	1	1	yes	characteristic
114	#11718612	C₂²	1	1	yes	characteristic
115	#11718612	C₂²	1	1	yes	characteristic
116	#11718612	C₂²	1	1	yes	characteristic
117	#11718606	C₂²	1	1	yes	characteristic
118	#11718605	C₂²	1	1	yes	characteristic
119	#11718605	C₂²	1	1	yes	characteristic
120	#11718605	C₂²	1	1	yes	characteristic
121	#11718601	C₂²	1	1	yes	characteristic
122	#11718601	C₂²	1	1	yes	characteristic
123	C₄×#6103	C₂²	1	1	yes	characteristic
124	C₄×#6103	C₂²	1	1	yes	characteristic
125	C₄×#6103	C₂²	1	1	yes	characteristic
126	C₄×#6103	C₂²	1	1	yes	characteristic
127	C₄×#6103	C₂²	1	1	yes	characteristic
128	C₄×#6103	C₂²	1	1	yes	characteristic
129	C₄×#6103	C₂²	1	1	yes	characteristic
130	C₄×#6103	C₂²	1	1	yes	characteristic
131	C₄×#6103	C₂²	1	1	yes	characteristic
132	C₄×#6103	C₂²	1	1	yes	characteristic
133	C₄×C₄⋊Dic₁₃	C₂²	1	1	yes	characteristic
134	#11718594	C₂²	1	1	yes	characteristic
135	#11718594	C₂²	1	1	yes	characteristic
136	C₄×#6101	C₂²	1	1	yes	characteristic
137	C₄×#6101	C₂²	1	1	yes	characteristic
138	C₄×#6101	C₂²	1	1	yes	characteristic
139	C₄×#6101	C₂²	1	1	yes	characteristic
140	C₄×#6101	C₂²	1	1	yes	characteristic
141	C₄×#6101	C₂²	1	1	yes	characteristic
142	C₄×#6101	C₂²	1	1	yes	characteristic
143	C₄×#6101	C₂²	1	1	yes	characteristic
144	C₄²×Dic₁₃	C₂²	1	1	yes	characteristic
145	C₄²×Dic₁₃	C₂²	1	1	yes	characteristic
146	C₄²×Dic₁₃	C₂²	1	1	yes	characteristic
147	C₄²×Dic₁₃	C₂²	1	1	yes	characteristic
148	#11718331	C₂²	1	1	yes	characteristic
149	#11718331	C₂²	1	1	yes	characteristic
150	#11718331	C₂²	1	1	yes	characteristic
151	#11718330	C₂²	1	1	yes	characteristic
152	#11718330	C₂²	1	1	yes	characteristic
153	#11718330	C₂²	1	1	yes	characteristic
154	#11718330	C₂²	1	1	yes	characteristic
155	#11718330	C₂²	1	1	yes	characteristic
156	#11718329	C₂²	1	1	yes	characteristic
157	#11718329	C₂²	1	1	yes	characteristic
158	#11718328	C₂²	1	1	yes	characteristic
159	#11718328	C₂²	1	1	yes	characteristic
160	#11718328	C₂²	1	1	yes	characteristic
161	#11718327	C₂²	1	1	yes	characteristic
162	#11718327	C₂²	1	1	yes	characteristic
163	#11718326	C₂²	1	1	yes	characteristic
164	#11718326	C₂²	1	1	yes	characteristic
165	#11718325	C₂²	1	1	yes	characteristic
166	#11718316	C₂²	1	1	yes	characteristic
167	#11718316	C₂²	1	1	yes	characteristic
168	#11718315	C₂²	1	1	yes	characteristic
169	#11718314	C₂²	1	1	yes	characteristic
170	#11718313	C₂²	1	1	yes	characteristic
171	#11718313	C₂²	1	1	yes	characteristic
172	#11718313	C₂²	1	1	yes	characteristic
173	#11718312	C₂²	1	1	yes	characteristic
174	#11718312	C₂²	1	1	yes	characteristic
175	#11718311	C₂²	1	1	yes	characteristic
176	#11718311	C₂²	1	1	yes	characteristic
177	#11718310	C₂²	1	1	yes	characteristic
178	#11718310	C₂²	1	1	yes	characteristic
179	#11718310	C₂²	1	1	yes	characteristic
180	#11718310	C₂²	1	1	yes	characteristic
181	#11718309	C₂²	1	1	yes	characteristic
182	#11718309	C₂²	1	1	yes	characteristic
183	#11718308	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	C₂²×Q₈×C₁₃	C₂³	1	1	yes	characteristic
189	C₂³×C₄×C₁₃	C₂³	1	1	yes	characteristic
190	C₂³×C₄×C₁₃	C₂³	1	1	yes	characteristic
191	C₂³×C₄×C₁₃	C₂³	1	1	yes	characteristic
192	C₂²×C₂²⋊D₁₃	C₂³	1	1	yes	characteristic
193	C₂²×C₂²⋊D₁₃	C₂³	1	1	yes	characteristic
194	C₂²×D₅₂	C₂³	1	1	yes	characteristic
195	C₂²×C₄×D₁₃	C₂³	1	1	yes	characteristic
196	C₂²×C₄×D₁₃	C₂³	1	1	yes	characteristic
197	C₂²×C₄×D₁₃	C₂³	1	1	yes	characteristic
198	C₂²×C₄×D₁₃	C₂³	1	1	yes	characteristic
199	C₂²×C₄×D₁₃	C₂³	1	1	yes	characteristic
200	C₂²×C₄×D₁₃	C₂³	1	1	yes	characteristic
201	C₂²×Dic₂₆	C₂³	1	1	yes	characteristic
202	C₂²×Dic₂₆	C₂³	1	1	yes	characteristic
203	C₁₃×C₂²⋊Q₈	C₂×C₄	1	8	yes	complemented
204	C₄×Q₈×C₁₃	—	4	2	no	—
205	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
206	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
207	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
208	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
209	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
210	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
211	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
212	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
213	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
214	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
215	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
216	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
217	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
218	C₂×C₄²×C₁₃	—	4	2	no	—
219	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
220	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
221	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
222	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
223	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
224	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
225	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
226	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
227	C₂×C₂²⋊Dic₁₃	C₂³	1	1	yes	characteristic
228	C₂×C₂²⋊Dic₁₃	C₂³	1	1	yes	characteristic
229	C₂×C₂²⋊Dic₁₃	C₂³	1	1	yes	characteristic
230	C₂×C₂²⋊Dic₁₃	C₂³	1	1	yes	characteristic
231	C₂×C₂²⋊Dic₁₃	C₂³	1	1	yes	characteristic
232	C₂×C₂²⋊Dic₁₃	C₂³	1	1	yes	characteristic
233	#88201	C₂×C₄	1	8	yes	complemented
234	#88198	C₂×C₄	1	8	yes	complemented
235	#88183	C₂×C₄	1	8	yes	complemented
236	C₄×C₂²⋊D₁₃	—	2	4	no	—
237	C₄×C₂²⋊D₁₃	—	2	4	no	—
238	C₄×C₂²⋊D₁₃	—	4	2	no	—
239	C₄×C₂²⋊D₁₃	C₂×C₄	1	8	yes	complemented
240	C₂×#6103	C₂³	1	1	yes	characteristic
241	C₂×#6103	C₂³	1	1	yes	characteristic
242	C₂×#6103	C₂³	1	1	yes	characteristic
243	C₂×#6103	C₂³	1	1	yes	characteristic
244	C₂×#6103	C₂³	1	1	yes	characteristic
245	C₂×#6103	C₂³	1	1	yes	characteristic
246	C₂×#6103	C₂³	1	1	yes	characteristic
247	C₂×#6103	C₂³	1	1	yes	characteristic
248	C₂×#6103	C₂³	1	1	yes	characteristic
249	C₂×#6103	C₂³	1	1	yes	characteristic
250	C₂×#6103	C₂³	1	1	yes	characteristic
251	C₂×#6103	C₂³	1	1	yes	characteristic
252	C₂×#6103	C₂³	1	1	yes	characteristic
253	C₂×#6103	C₂³	1	1	yes	characteristic
254	C₂×#6103	C₂³	1	1	yes	characteristic
255	C₂×#6103	C₂³	1	1	yes	characteristic
256	C₂×#6103	C₂³	1	1	yes	characteristic
257	C₂×#6103	C₂³	1	1	yes	characteristic
258	C₂×#6103	C₂³	1	1	yes	characteristic
259	C₂×#6103	C₂³	1	1	yes	characteristic
260	C₂×C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic
261	C₂×C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic
262	C₂×C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic
263	C₂×C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic
264	C₂×C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic
265	C₂×#6101	C₂³	1	1	yes	characteristic
266	C₂×#6101	C₂³	1	1	yes	characteristic
267	C₂×#6101	C₂³	1	1	yes	characteristic
268	C₂×#6101	C₂³	1	1	yes	characteristic
269	C₂×#6101	C₂³	1	1	yes	characteristic
270	C₂×#6101	C₂³	1	1	yes	characteristic
271	C₂×#6101	C₂³	1	1	yes	characteristic
272	C₂×#6101	C₂³	1	1	yes	characteristic
273	C₂×#6101	C₂³	1	1	yes	characteristic
274	C₂×#6101	C₂³	1	1	yes	characteristic
275	C₂×#6101	C₂³	1	1	yes	characteristic
276	C₂×#6101	C₂³	1	1	yes	characteristic
277	C₂×#6101	C₂³	1	1	yes	characteristic
278	C₂×#6101	C₂³	1	1	yes	characteristic
279	C₂×#6101	C₂³	1	1	yes	characteristic
280	C₂×#6101	C₂³	1	1	yes	characteristic
281	C₂×#6101	C₂³	1	1	yes	characteristic
282	C₂×#6101	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	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
303	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
304	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
305	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
306	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
307	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
308	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
309	#88152	C₂×C₄	1	8	yes	complemented
310	#88150	C₂×C₄	1	8	yes	complemented
311	#88150	C₂×C₄	1	8	yes	complemented
312	#88148	C₂×C₄	1	8	yes	complemented
313	#88146	—	2	4	no	—
314	#88146	C₂×C₄	1	8	yes	complemented
315	#88141	—	2	4	no	—
316	#88141	C₂×C₄	1	8	yes	complemented
317	#88139	C₂×C₄	1	8	yes	complemented
318	#88139	C₂×C₄	1	8	yes	complemented
319	#88138	C₂×C₄	1	8	yes	—
320	#88133	C₂×C₄	1	8	yes	complemented
321	C₄×D₅₂	—	4	2	no	—
322	C₄²×D₁₃	—	2	4	no	—
323	C₄²×D₁₃	—	4	2	no	—
324	C₄×Dic₂₆	—	2	4	no	—
325	C₄×Dic₂₆	—	4	2	no	—
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	#88071	C₂³	1	1	yes	characteristic
337	#88071	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×#542	—	13	1	no	maximal, Sylow
371	C₂⁴×C₁₃	C₂⁴	1	1	yes	characteristic
372	C₂³×D₁₃	C₂⁴	1	1	yes	characteristic
373	C₂³×D₁₃	C₂⁴	1	1	yes	characteristic
374	C₂×Q₈×C₁₃	—	4	1	no	—
375	C₂×Q₈×C₁₃	—	4	1	no	—
376	C₂×Q₈×C₁₃	C₂²×C₄	1	4	yes	—
377	C₂²×C₄×C₁₃	—	2	2	no	—
378	C₂²×C₄×C₁₃	—	2	2	no	—
379	C₂²×C₄×C₁₃	—	2	2	no	—
380	C₂²×C₄×C₁₃	—	2	2	no	—
381	C₂²×C₄×C₁₃	—	4	1	no	—
382	C₂²×C₄×C₁₃	—	4	1	no	—
383	C₂²×C₄×C₁₃	—	4	1	no	—
384	C₂²×C₄×C₁₃	—	4	1	no	—
385	C₂²×C₄×C₁₃	C₂²×C₄	1	4	yes	—
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	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
391	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
392	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
393	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
394	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
395	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
396	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
397	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
398	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
399	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
400	C₂×C₂²⋊D₁₃	—	2	2	no	—
401	C₂×C₂²⋊D₁₃	—	2	2	no	—
402	C₂×C₂²⋊D₁₃	—	4	1	no	—
403	C₂×C₂²⋊D₁₃	—	4	1	no	—
404	C₂×C₂²⋊D₁₃	C₂²×C₄	1	4	yes	—
405	C₂×C₂²⋊D₁₃	C₂²×C₄	1	4	yes	—
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	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
415	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
416	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
417	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
418	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
419	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
420	C₂×D₅₂	—	4	1	no	—
421	C₂×D₅₂	—	4	1	no	—
422	C₂×D₅₂	C₂²×C₄	1	4	yes	—
423	C₂×C₄×D₁₃	—	2	2	no	—
424	C₂×C₄×D₁₃	—	2	2	no	—
425	C₂×C₄×D₁₃	—	2	2	no	—
426	C₂×C₄×D₁₃	—	2	2	no	—
427	C₂×C₄×D₁₃	—	2	2	no	—
428	C₂×C₄×D₁₃	—	2	2	no	—
429	C₂×C₄×D₁₃	—	2	2	no	—
430	C₂×C₄×D₁₃	—	2	2	no	—
431	C₂×C₄×D₁₃	—	2	2	no	—
432	C₂×C₄×D₁₃	—	2	2	no	—
433	C₂×C₄×D₁₃	—	4	1	no	—
434	C₂×C₄×D₁₃	—	4	1	no	—
435	C₂×C₄×D₁₃	—	4	1	no	—
436	C₂×C₄×D₁₃	—	4	1	no	—
437	C₂×C₄×D₁₃	—	4	1	no	—
438	C₂×C₄×D₁₃	—	4	1	no	—
439	C₂×C₄×D₁₃	C₂²×C₄	1	4	yes	—
440	C₂×C₄×D₁₃	C₂²×C₄	1	4	yes	—
441	C₂×Dic₂₆	—	2	2	no	—
442	C₂×Dic₂₆	—	2	2	no	—
443	C₂×Dic₂₆	—	4	1	no	—
444	C₂×Dic₂₆	—	4	1	no	—
445	C₂×Dic₂₆	C₂²×C₄	1	4	yes	—
446	C₂×Dic₂₆	C₂²×C₄	1	4	yes	—
447	C₁₃×C₄⋊C₄	—	2	2	no	—
448	C₁₃×C₄⋊C₄	—	2	2	no	—
449	C₁₃×C₄⋊C₄	—	4	1	no	—
450	C₁₃×C₄⋊C₄	—	4	1	no	—
451	C₁₃×C₄⋊C₄	—	4	1	no	—
452	C₁₃×C₄⋊C₄	—	4	1	no	—
453	C₁₃×C₄⋊C₄	C₂²×C₄	1	4	yes	—
454	C₁₃×C₄⋊C₄	C₂²×C₄	1	4	yes	—
455	C₁₃×C₄⋊C₄	C₂²×C₄	1	4	yes	—
456	C₁₃×C₂²⋊C₄	—	4	1	no	—
457	C₁₃×C₂²⋊C₄	—	4	1	no	—
458	C₁₃×C₂²⋊C₄	C₂²×C₄	1	4	yes	—
459	C₁₃×C₂²⋊C₄	C₂²×C₄	1	4	yes	—
460	C₄²×C₁₃	—	2	2	no	—
461	C₄²×C₁₃	—	2	2	no	—
462	C₄²×C₁₃	—	2	2	no	—
463	C₄²×C₁₃	—	2	2	no	—
464	C₄²×C₁₃	—	2	2	no	—
465	C₄²×C₁₃	—	2	2	no	—
466	C₄²×C₁₃	—	4	1	no	—
467	C₄²×C₁₃	—	4	1	no	—
468	C₂²⋊Dic₁₃	—	2	2	no	—
469	C₂²⋊Dic₁₃	—	2	2	no	—
470	C₂²⋊Dic₁₃	—	4	1	no	—
471	C₂²⋊Dic₁₃	—	4	1	no	—
472	C₂²⋊Dic₁₃	C₂²×C₄	1	4	yes	—
473	C₂²⋊Dic₁₃	C₂²×C₄	1	4	yes	—
474	#6103	—	2	2	no	—
475	#6103	—	2	2	no	—
476	#6103	—	2	2	no	—
477	#6103	—	2	2	no	—
478	#6103	—	4	1	no	—
479	#6103	—	4	1	no	—
480	#6103	—	4	1	no	—
481	#6103	—	4	1	no	—
482	#6103	—	4	1	no	—
483	#6103	—	4	1	no	—
484	#6103	—	4	1	no	—
485	#6103	—	4	1	no	—
486	#6103	C₂²×C₄	1	4	yes	—
487	#6103	C₂²×C₄	1	4	yes	—
488	#6103	C₂²×C₄	1	4	yes	—
489	#6103	C₂²×C₄	1	4	yes	—
490	#6103	C₂²×C₄	1	4	yes	—
491	#6103	C₂²×C₄	1	4	yes	—
492	#6103	C₂²×C₄	1	4	yes	—
493	#6103	C₂²×C₄	1	4	yes	—
494	C₄⋊Dic₁₃	—	2	2	no	—
495	C₄⋊Dic₁₃	—	2	2	no	—
496	C₄⋊Dic₁₃	—	4	1	no	—
497	C₄⋊Dic₁₃	—	4	1	no	—
498	C₄⋊Dic₁₃	C₂²×C₄	1	4	yes	—
499	#6101	—	2	2	no	—
500	#6101	—	2	2	no	—
501	#6101	—	2	2	no	—
502	#6101	—	2	2	no	—
503	#6101	—	2	2	no	—
504	#6101	—	2	2	no	—
505	#6101	—	4	1	no	—
506	#6101	—	4	1	no	—
507	#6101	—	4	1	no	—
508	#6101	—	4	1	no	—
509	#6101	—	4	1	no	—
510	#6101	—	4	1	no	—
511	#6101	C₂²×C₄	1	4	yes	—
512	#6101	C₂²×C₄	1	4	yes	—
513	#6101	C₂²×C₄	1	4	yes	—
514	#6101	C₂²×C₄	1	4	yes	—
515	#6101	C₂²×C₄	1	4	yes	—
516	#6101	C₂²×C₄	1	4	yes	—
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	—	2	2	no	—
522	C₄×Dic₁₃	—	2	2	no	—
523	C₄×Dic₁₃	—	2	2	no	—
524	C₄×Dic₁₃	—	2	2	no	—
525	C₄×Dic₁₃	—	2	2	no	—
526	C₄×Dic₁₃	—	2	2	no	—
527	C₄×Dic₁₃	—	4	1	no	—
528	C₄×Dic₁₃	—	4	1	no	—
529	C₄×Dic₁₃	—	4	1	no	—
530	C₄×Dic₁₃	—	4	1	no	—
531	C₄×Dic₁₃	—	4	1	no	—
532	C₄×Dic₁₃	—	4	1	no	—
533	C₄×Dic₁₃	—	4	1	no	—
534	C₄×Dic₁₃	—	4	1	no	—
535	C₄×Dic₁₃	—	4	1	no	—
536	C₄×Dic₁₃	—	4	1	no	—
537	C₄×Dic₁₃	C₂²×C₄	1	4	yes	—
538	C₄×Dic₁₃	C₂²×C₄	1	4	yes	—
539	C₄×Dic₁₃	C₂²×C₄	1	4	yes	—
540	C₄×Dic₁₃	C₂²×C₄	1	4	yes	—
541	C₄×Dic₁₃	#41	1	4	yes	—
542	C₄×Dic₁₃	#41	1	4	yes	—
543	C₂×#542	—	13	1	no	—
544	#2337	—	13	1	no	—
545	#2337	—	13	1	no	—
546	#2335	—	13	1	no	—
547	#2335	—	13	1	no	—
548	#2334	—	13	1	no	—
549	#2334	—	13	1	no	—
550	#2332	—	13	1	no	—
551	#2332	—	13	1	no	—
552	#2331	—	13	1	no	—
553	#2326	—	13	1	no	—
554	#2324	—	13	1	no	—
555	#2323	—	13	1	no	—
556	#2320	—	13	1	no	—
557	#2319	—	13	1	no	—
558	#2314	—	13	1	no	—
559	C₄×C₄⋊Q₈	—	13	1	no	—
560	C₄×#126	—	13	1	no	—
561	C₄×#126	—	13	1	no	—
562	C₄×#124	—	13	1	no	—
563	C₄×#124	—	13	1	no	—
564	C₄×#124	—	13	1	no	—
565	C₄×C₂²⋊Q₈	—	13	1	no	—
566	C₄×C₂²⋊Q₈	—	13	1	no	—
567	C₄×C₂²⋊Q₈	D₁₃	1	1	yes	characteristic, complemented
568	C₄×#123	—	13	1	no	—
569	C₄×#123	—	13	1	no	—
570	C₄×#121	—	13	1	no	—
571	C₄²×Q₈	—	13	1	no	—
572	C₄²×D₄	—	13	1	no	—
573	C₄×#117	—	13	1	no	—
574	C₂³×C₁₃	—	2	1	no	—
575	C₂³×C₁₃	—	2	1	no	—
576	C₂³×C₁₃	—	2	1	no	—
577	C₂³×C₁₃	—	2	1	no	—
578	C₂³×C₁₃	—	2	1	no	—
579	C₂³×C₁₃	—	2	1	no	—
580	C₂³×C₁₃	C₂³×C₄	1	2	yes	—
581	C₂³×C₁₃	C₂⁵	1	1	yes	characteristic
582	C₂²×D₁₃	—	2	1	no	—
583	C₂²×D₁₃	—	2	1	no	—
584	C₂²×D₁₃	—	2	1	no	—
585	C₂²×D₁₃	—	2	1	no	—
586	C₂²×D₁₃	—	2	1	no	—
587	C₂²×D₁₃	—	2	1	no	—
588	C₂²×D₁₃	—	2	1	no	—
589	C₂²×D₁₃	—	2	1	no	—
590	C₂²×D₁₃	—	2	1	no	—
591	C₂²×D₁₃	—	2	1	no	—
592	C₂²×D₁₃	—	2	1	no	—
593	C₂²×D₁₃	—	2	1	no	—
594	C₂²×D₁₃	C₂³×C₄	1	2	yes	—
595	C₂²×D₁₃	C₂³×C₄	1	2	yes	—
596	Q₈×C₁₃	—	4	4	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	—	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	—	2	1	no	—
618	C₂×C₄×C₁₃	—	2	1	no	—
619	C₂×C₄×C₁₃	—	2	1	no	—
620	C₂×C₄×C₁₃	—	2	1	no	—
621	C₂×C₄×C₁₃	—	2	1	no	—
622	C₂×C₄×C₁₃	—	2	1	no	—
623	C₂×C₄×C₁₃	—	2	1	no	—
624	C₂×C₄×C₁₃	—	2	1	no	—
625	C₂×C₄×C₁₃	—	2	1	no	—
626	C₂×C₄×C₁₃	—	2	1	no	—
627	C₂×C₄×C₁₃	—	2	1	no	—
628	C₂×C₄×C₁₃	—	2	1	no	—
629	C₂×C₄×C₁₃	—	4	4	no	—
630	C₂×C₄×C₁₃	—	4	4	no	—
631	C₂×C₄×C₁₃	—	4	4	no	—
632	C₂×C₄×C₁₃	C₂³×C₄	1	2	yes	—
633	C₂×C₄×C₁₃	C₂³×C₄	1	2	yes	—
634	C₂×C₄×C₁₃	C₂³×C₄	1	2	yes	—
635	C₂×C₄×C₁₃	C₂³×C₄	1	2	yes	—
636	C₂×C₄×C₁₃	C₂³×C₄	1	2	yes	—
637	C₂×C₄×C₁₃	C₂³×C₄	1	2	yes	—
638	C₂×C₄×C₁₃	C₂×#41	1	2	yes	—
639	C₂×C₄×C₁₃	C₂×#41	1	2	yes	—
640	C₂×C₄×C₁₃	H(5,𝔽₂)	1	2	yes	—
641	C₂×C₄×C₁₃	2₋¹⁺⁴	1	2	yes	—
642	C₂²⋊D₁₃	—	2	8	no	—
643	C₂²⋊D₁₃	—	4	4	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	—	2	1	no	—
654	C₂×Dic₁₃	—	2	1	no	—
655	C₂×Dic₁₃	—	2	1	no	—
656	C₂×Dic₁₃	—	2	1	no	—
657	C₂×Dic₁₃	—	2	1	no	—
658	C₂×Dic₁₃	—	2	1	no	—
659	C₂×Dic₁₃	—	2	1	no	—
660	C₂×Dic₁₃	—	2	1	no	—
661	C₂×Dic₁₃	—	2	1	no	—
662	C₂×Dic₁₃	—	2	1	no	—
663	C₂×Dic₁₃	—	2	1	no	—
664	C₂×Dic₁₃	—	2	1	no	—
665	C₂×Dic₁₃	—	2	1	no	—
666	C₂×Dic₁₃	—	2	1	no	—
667	C₂×Dic₁₃	—	2	1	no	—
668	C₂×Dic₁₃	—	2	1	no	—
669	C₂×Dic₁₃	—	2	1	no	—
670	C₂×Dic₁₃	—	2	1	no	—
671	C₂×Dic₁₃	—	2	1	no	—
672	C₂×Dic₁₃	—	2	1	no	—
673	C₂×Dic₁₃	—	2	1	no	—
674	C₂×Dic₁₃	—	2	1	no	—
675	C₂×Dic₁₃	—	2	1	no	—
676	C₂×Dic₁₃	C₂³×C₄	1	2	yes	—
677	C₂×Dic₁₃	C₂³×C₄	1	2	yes	—
678	C₂×Dic₁₃	C₂³×C₄	1	2	yes	—
679	C₂×Dic₁₃	C₂³×C₄	1	2	yes	—
680	C₂×Dic₁₃	C₂³×C₄	1	2	yes	—
681	C₂×Dic₁₃	C₂³×C₄	1	2	yes	—
682	C₂×Dic₁₃	C₂×#41	1	2	yes	—
683	C₂×Dic₁₃	C₂×#41	1	2	yes	—
684	C₂×Dic₁₃	C₂×#41	1	2	yes	—
685	C₂×Dic₁₃	C₂×#41	1	2	yes	—
686	D₅₂	—	4	4	no	—
687	C₄×D₁₃	—	2	8	no	—
688	C₄×D₁₃	—	4	4	no	—
689	C₄×D₁₃	—	4	4	no	—
690	C₄×D₁₃	—	4	4	no	—
691	C₄×D₁₃	—	4	4	no	—
692	C₄×D₁₃	—	4	4	no	—
693	Dic₂₆	—	2	8	no	—
694	Dic₂₆	—	4	4	no	—
695	#542	—	13	16	no	—
696	C₂×C₄⋊Q₈	—	13	1	no	—
697	C₂×#126	—	13	1	no	—
698	C₂×#126	—	13	1	no	—
699	C₂×#124	—	13	1	no	—
700	C₂×#124	—	13	1	no	—
701	C₂×#124	—	13	1	no	—
702	C₂×#123	—	13	1	no	—
703	C₂×#123	—	13	1	no	—
704	C₂×C₂²⋊Q₈	—	13	1	no	—
705	C₂×C₂²⋊Q₈	—	13	1	no	—
706	C₂×C₂²⋊Q₈	C₂×D₁₃	1	1	yes	characteristic
707	C₂×#121	—	13	1	no	—
708	C₂×C₄×Q₈	—	13	1	no	—
709	C₂×C₄×Q₈	—	13	1	no	—
710	C₂×C₄×Q₈	—	13	1	no	—
711	C₂×C₄×Q₈	—	13	1	no	—
712	C₂×C₄×Q₈	C₂×D₁₃	1	1	yes	characteristic
713	C₂×C₄×D₄	—	13	1	no	—
714	C₂×C₄×D₄	—	13	1	no	—
715	C₂×C₄×D₄	—	13	1	no	—
716	C₂×C₄×D₄	—	13	1	no	—
717	C₂×C₄×D₄	—	13	1	no	—
718	C₂×#117	—	13	1	no	—
719	C₂×#117	—	13	1	no	—
720	C₂²×C₄²	—	13	1	no	—
721	C₂²×C₄²	—	13	1	no	—
722	C₂²×C₄²	C₂×D₁₃	1	1	yes	characteristic
723	#391	—	13	1	no	—
724	#391	—	13	1	no	—
725	#391	—	13	1	no	—
726	#391	—	13	1	no	—
727	#391	—	13	1	no	—
728	#391	—	13	1	no	—
729	#391	—	13	1	no	—
730	#391	C₂×D₁₃	1	1	yes	characteristic
731	#390	—	13	1	no	—
732	#390	—	13	1	no	—
733	#390	—	13	1	no	—
734	#390	—	13	1	no	—
735	#389	—	13	1	no	—
736	#389	—	13	1	no	—
737	#389	—	13	1	no	—
738	#389	—	13	1	no	—
739	#389	—	13	1	no	—
740	#389	—	13	1	no	—
741	#389	—	13	1	no	—
742	#389	C₂×D₁₃	1	1	yes	characteristic
743	#388	—	13	1	no	—
744	#388	—	13	1	no	—
745	#388	—	13	1	no	—
746	#388	—	13	1	no	—
747	#388	—	13	1	no	—
748	#388	—	13	1	no	—
749	#388	—	13	1	no	—
750	#388	—	13	1	no	—
751	#388	—	13	1	no	—
752	#388	—	13	1	no	—
753	#388	—	13	1	no	—
754	#388	—	13	1	no	—
755	#388	—	13	1	no	—
756	#388	—	13	1	no	—
757	#388	—	13	1	no	—
758	#388	—	13	1	no	—
759	#388	—	13	1	no	—
760	#388	—	13	1	no	—
761	#388	—	13	1	no	—
762	#388	—	13	1	no	—
763	#388	—	13	1	no	—
764	#388	—	13	1	no	—
765	#388	—	13	1	no	—
766	#388	—	13	1	no	—
767	#387	—	13	1	no	—
768	#387	—	13	1	no	—
769	#387	—	13	1	no	—
770	#387	—	13	1	no	—
771	#387	—	13	1	no	—
772	#387	—	13	1	no	—
773	#387	—	13	1	no	—
774	#387	—	13	1	no	—
775	#387	—	13	1	no	—
776	#387	—	13	1	no	—
777	#387	—	13	1	no	—
778	#387	—	13	1	no	—
779	#387	—	13	1	no	—
780	#387	—	13	1	no	—
781	#387	C₂×D₁₃	1	1	yes	characteristic
782	#387	C₂×D₁₃	1	1	yes	characteristic
783	#386	—	13	1	no	—
784	#386	—	13	1	no	—
785	#386	—	13	1	no	—
786	#386	—	13	1	no	—
787	#385	—	13	1	no	—
788	#385	—	13	1	no	—
789	#385	—	13	1	no	—
790	#385	—	13	1	no	—
791	#385	—	13	1	no	—
792	#385	—	13	1	no	—
793	#385	C₂×D₁₃	1	1	yes	characteristic
794	#385	C₂×D₁₃	1	1	yes	characteristic
795	#384	—	13	1	no	—
796	#383	—	13	1	no	—
797	#383	—	13	1	no	—
798	#382	—	13	1	no	—
799	#382	—	13	1	no	—
800	#382	—	13	1	no	—
801	#381	—	13	1	no	—
802	#381	—	13	1	no	—
803	#380	—	13	1	no	—
804	#380	—	13	1	no	—
805	#380	—	13	1	no	—
806	#380	C₂×D₁₃	1	1	yes	characteristic
807	C₄×C₄⋊C₄	—	13	1	no	—
808	C₄×C₄⋊C₄	—	13	1	no	—
809	C₄×C₄⋊C₄	—	13	1	no	—
810	C₄×C₄⋊C₄	—	13	1	no	—
811	C₄×C₄⋊C₄	—	13	1	no	—
812	C₄×C₄⋊C₄	—	13	1	no	—
813	C₄×C₄⋊C₄	—	13	1	no	—
814	C₄×C₄⋊C₄	—	13	1	no	—
815	C₄×C₄⋊C₄	—	13	1	no	—
816	C₄×C₄⋊C₄	—	13	1	no	—
817	C₄×C₄⋊C₄	—	13	1	no	—
818	C₄×C₄⋊C₄	—	13	1	no	—
819	C₄×C₄⋊C₄	—	13	1	no	—
820	C₄×C₄⋊C₄	—	13	1	no	—
821	C₄×C₄⋊C₄	—	13	1	no	—
822	C₄×C₄⋊C₄	—	13	1	no	—
823	C₄×C₄⋊C₄	—	13	1	no	—
824	C₄×C₄⋊C₄	C₂×D₁₃	1	1	yes	characteristic
825	C₄×C₄⋊C₄	C₂×D₁₃	1	1	yes	characteristic
826	C₄×C₄⋊C₄	C₂×D₁₃	1	1	yes	characteristic
827	C₄×C₂²⋊C₄	—	13	1	no	—
828	C₄×C₂²⋊C₄	—	13	1	no	—
829	C₄×C₂²⋊C₄	—	13	1	no	—
830	C₄×C₂²⋊C₄	—	13	1	no	—
831	C₄×C₂²⋊C₄	—	13	1	no	—
832	C₄×C₂²⋊C₄	—	13	1	no	—
833	C₄×C₂²⋊C₄	—	13	1	no	—
834	C₄×C₂²⋊C₄	—	13	1	no	—
835	C₄×C₂²⋊C₄	—	13	1	no	—
836	C₄×C₂²⋊C₄	—	13	1	no	—
837	C₄×C₂²⋊C₄	—	13	1	no	—
838	C₄×C₂²⋊C₄	—	13	1	no	—
839	C₄×C₂²⋊C₄	—	13	1	no	—
840	C₄×C₂²⋊C₄	—	13	1	no	—
841	C₄×C₂²⋊C₄	—	13	1	no	—
842	C₄×C₂²⋊C₄	—	13	1	no	—
843	C₄×C₂²⋊C₄	C₂×D₁₃	1	1	yes	characteristic
844	C₄×C₂²⋊C₄	C₂×D₁₃	1	1	yes	characteristic
845	#376	—	13	1	no	—
846	#376	—	13	1	no	—
847	C₄³	—	13	1	no	—
848	C₄³	—	13	1	no	—
849	C₄³	—	13	1	no	—
850	C₄³	—	13	1	no	—
851	C₂²×C₁₃	—	2	2	no	—
852	C₂²×C₁₃	—	2	2	no	—
853	C₂²×C₁₃	—	2	2	no	—
854	C₂²×C₁₃	—	4	1	no	—
855	C₂²×C₁₃	—	4	1	no	—
856	C₂²×C₁₃	—	4	1	no	—
857	C₂²×C₁₃	—	4	1	no	—
858	C₂²×C₁₃	C₂⁴×C₄	1	1	yes	characteristic
859	C₂²×C₁₃	C₂²×#41	1	1	yes	characteristic
860	C₂²×C₁₃	C₂²×#41	1	1	yes	characteristic
861	C₂²×C₁₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
862	C₂²×C₁₃	C₂×2₋¹⁺⁴	1	1	yes	characteristic
863	C₂²×C₁₃	#585	1	1	yes	characteristic
864	C₂²×C₁₃	#585	1	1	yes	characteristic
865	C₂×D₁₃	—	2	2	no	—
866	C₂×D₁₃	—	2	2	no	—
867	C₂×D₁₃	—	2	2	no	—
868	C₂×D₁₃	—	2	2	no	—
869	C₂×D₁₃	—	2	2	no	—
870	C₂×D₁₃	—	2	2	no	—
871	C₂×D₁₃	—	4	1	no	—
872	C₂×D₁₃	—	4	1	no	—
873	C₂×D₁₃	—	4	1	no	—
874	C₂×D₁₃	—	4	1	no	—
875	C₂×D₁₃	—	4	1	no	—
876	C₂×D₁₃	—	4	1	no	—
877	C₂×D₁₃	—	4	1	no	—
878	C₂×D₁₃	—	4	1	no	—
879	C₄×C₁₃	—	2	2	no	—
880	C₄×C₁₃	—	2	2	no	—
881	C₄×C₁₃	—	2	2	no	—
882	C₄×C₁₃	—	2	2	no	—
883	C₄×C₁₃	—	2	2	no	—
884	C₄×C₁₃	—	2	2	no	—
885	C₄×C₁₃	—	2	2	no	—
886	C₄×C₁₃	—	4	1	no	—
887	C₄×C₁₃	—	4	1	no	—
888	C₄×C₁₃	—	4	1	no	—
889	C₄×C₁₃	—	4	1	no	—
890	C₄×C₁₃	—	4	1	no	—
891	C₄×C₁₃	—	4	1	no	—
892	C₄×C₁₃	#542	1	4	yes	complemented
893	Dic₁₃	—	2	2	no	—
894	Dic₁₃	—	2	2	no	—
895	Dic₁₃	—	2	2	no	—
896	Dic₁₃	—	2	2	no	—
897	Dic₁₃	—	2	2	no	—
898	Dic₁₃	—	2	2	no	—
899	Dic₁₃	—	2	2	no	—
900	Dic₁₃	—	4	1	no	—
901	Dic₁₃	—	4	1	no	—
902	Dic₁₃	—	4	1	no	—
903	Dic₁₃	—	4	1	no	—
904	Dic₁₃	—	4	1	no	—
905	Dic₁₃	—	4	1	no	—
906	Dic₁₃	C₄×#41	1	4	yes	—
907	C₂²×Q₈	—	13	1	no	—
908	C₂²×Q₈	—	13	1	no	—
909	C₂²×Q₈	C₂²×D₁₃	1	1	yes	characteristic
910	C₂²×D₄	—	13	1	no	—
911	C₂²×D₄	—	13	1	no	—
912	C₂²×D₄	—	13	1	no	—
913	C₂³×C₄	—	13	1	no	—
914	C₂³×C₄	—	13	1	no	—
915	C₂³×C₄	—	13	1	no	—
916	C₂³×C₄	—	13	1	no	—
917	C₂³×C₄	—	13	1	no	—
918	C₂³×C₄	—	13	1	no	—
919	C₂³×C₄	C₂²×D₁₃	1	1	yes	characteristic
920	C₂³×C₄	C₂²×D₁₃	1	1	yes	characteristic
921	C₂³×C₄	C₂²×D₁₃	1	1	yes	characteristic
922	C₄⋊Q₈	—	13	8	no	—
923	#126	—	13	8	no	—
924	#126	—	13	8	no	—
925	#124	—	13	8	no	—
926	#124	—	13	8	no	—
927	#124	—	13	8	no	—
928	#123	—	13	8	no	—
929	#123	—	13	8	no	—
930	C₂²⋊Q₈	—	13	8	no	—
931	C₂²⋊Q₈	—	13	8	no	—
932	C₂²⋊Q₈	C₄×D₁₃	1	8	yes	complemented
933	#121	—	13	8	no	—
934	C₄×Q₈	—	4	2	no	—
935	C₄×Q₈	—	13	8	no	—
936	C₄×Q₈	—	26	4	no	—
937	C₄×Q₈	—	26	4	no	—
938	C₄×Q₈	—	52	2	no	—
939	C₄×D₄	—	13	8	no	—
940	C₄×D₄	—	26	4	no	—
941	C₄×D₄	—	26	4	no	—
942	C₄×D₄	—	52	2	no	—
943	C₄×D₄	—	52	2	no	—
944	#117	—	13	8	no	—
945	#117	—	26	4	no	—
946	C₂×C₄⋊C₄	—	13	1	no	—
947	C₂×C₄⋊C₄	—	13	1	no	—
948	C₂×C₄⋊C₄	—	13	1	no	—
949	C₂×C₄⋊C₄	—	13	1	no	—
950	C₂×C₄⋊C₄	—	13	1	no	—
951	C₂×C₄⋊C₄	—	13	1	no	—
952	C₂×C₄⋊C₄	—	13	1	no	—
953	C₂×C₄⋊C₄	—	13	1	no	—
954	C₂×C₄⋊C₄	—	13	1	no	—
955	C₂×C₄⋊C₄	—	13	1	no	—
956	C₂×C₄⋊C₄	—	13	1	no	—
957	C₂×C₄⋊C₄	—	13	1	no	—
958	C₂×C₄⋊C₄	—	13	1	no	—
959	C₂×C₄⋊C₄	—	13	1	no	—
960	C₂×C₄⋊C₄	—	13	1	no	—
961	C₂×C₄⋊C₄	—	13	1	no	—
962	C₂×C₄⋊C₄	—	13	1	no	—
963	C₂×C₄⋊C₄	—	13	1	no	—
964	C₂×C₄⋊C₄	—	13	1	no	—
965	C₂×C₄⋊C₄	—	13	1	no	—
966	C₂×C₄⋊C₄	—	13	1	no	—
967	C₂×C₄⋊C₄	—	13	1	no	—
968	C₂×C₄⋊C₄	—	13	1	no	—
969	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
970	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
971	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
972	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
973	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
974	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
975	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
976	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
977	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
978	C₂×C₂²⋊C₄	—	13	1	no	—
979	C₂×C₂²⋊C₄	—	13	1	no	—
980	C₂×C₂²⋊C₄	—	13	1	no	—
981	C₂×C₂²⋊C₄	—	13	1	no	—
982	C₂×C₂²⋊C₄	—	13	1	no	—
983	C₂×C₂²⋊C₄	—	13	1	no	—
984	C₂×C₂²⋊C₄	—	13	1	no	—
985	C₂×C₂²⋊C₄	—	13	1	no	—
986	C₂×C₂²⋊C₄	—	13	1	no	—
987	C₂×C₂²⋊C₄	—	13	1	no	—
988	C₂×C₂²⋊C₄	—	13	1	no	—
989	C₂×C₂²⋊C₄	—	13	1	no	—
990	C₂×C₂²⋊C₄	—	13	1	no	—
991	C₂×C₂²⋊C₄	—	13	1	no	—
992	C₂×C₂²⋊C₄	—	13	1	no	—
993	C₂×C₂²⋊C₄	—	13	1	no	—
994	C₂×C₂²⋊C₄	—	13	1	no	—
995	C₂×C₂²⋊C₄	—	13	1	no	—
996	C₂×C₂²⋊C₄	—	13	1	no	—
997	C₂×C₂²⋊C₄	—	13	1	no	—
998	C₂×C₂²⋊C₄	—	13	1	no	—
999	C₂×C₂²⋊C₄	—	13	1	no	—
1000	C₂×C₂²⋊C₄	—	13	1	no	—
1001	C₂×C₂²⋊C₄	—	13	1	no	—
1002	C₂×C₂²⋊C₄	—	13	1	no	—
1003	C₂×C₂²⋊C₄	—	13	1	no	—
1004	C₂×C₂²⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1005	C₂×C₂²⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1006	C₂×C₂²⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1007	C₂×C₂²⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1008	C₂×C₄²	—	4	2	no	—
1009	C₂×C₄²	—	13	1	no	—
1010	C₂×C₄²	—	13	1	no	—
1011	C₂×C₄²	—	13	1	no	—
1012	C₂×C₄²	—	13	1	no	—
1013	C₂×C₄²	—	13	1	no	—
1014	C₂×C₄²	—	13	1	no	—
1015	C₂×C₄²	—	13	1	no	—
1016	C₂×C₄²	—	13	1	no	—
1017	C₂×C₄²	—	13	1	no	—
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	—	13	1	no	—
1032	C₂×C₄²	—	13	1	no	—
1033	C₂×C₄²	—	13	1	no	—
1034	C₂×C₄²	—	13	1	no	—
1035	C₂×C₄²	—	26	4	no	—
1036	C₂×C₄²	—	52	2	no	—
1037	C₂×C₄²	C₂²×D₁₃	1	1	yes	characteristic
1038	C₂×C₄²	C₂²×D₁₃	1	1	yes	characteristic
1039	C₂×C₄²	C₂²×D₁₃	1	1	yes	characteristic
1040	C₂×C₄²	C₂²×D₁₃	1	1	yes	characteristic
1041	C₂×C₄²	C₂²×D₁₃	1	1	yes	characteristic
1042	C₂×C₄²	C₂²×D₁₃	1	1	yes	characteristic
1043	C₂×C₄²	C₂²×D₁₃	1	1	yes	characteristic
1044	C₂×C₄²	C₂²×D₁₃	1	1	yes	characteristic
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	—	13	1	no	—
1053	#95	—	13	1	no	—
1054	#95	—	13	1	no	—
1055	#95	—	13	1	no	—
1056	#95	—	13	1	no	—
1057	#95	—	13	1	no	—
1058	#95	—	13	1	no	—
1059	#95	—	13	1	no	—
1060	#95	—	13	1	no	—
1061	#95	—	13	1	no	—
1062	#95	—	13	1	no	—
1063	#95	—	13	1	no	—
1064	#95	—	13	1	no	—
1065	#95	—	13	1	no	—
1066	#95	—	13	1	no	—
1067	#95	—	13	1	no	—
1068	#95	—	13	1	no	—
1069	#95	—	13	1	no	—
1070	#95	—	13	1	no	—
1071	#95	—	13	1	no	—
1072	#95	—	13	1	no	—
1073	#95	—	13	1	no	—
1074	#95	—	13	1	no	—
1075	#95	—	13	1	no	—
1076	#95	—	13	1	no	—
1077	#95	—	13	1	no	—
1078	#95	—	13	1	no	—
1079	#95	C₂²×D₁₃	1	1	yes	characteristic
1080	#95	C₂²×D₁₃	1	1	yes	characteristic
1081	#95	C₂²×D₁₃	1	1	yes	characteristic
1082	#95	C₂²×D₁₃	1	1	yes	characteristic
1083	#95	C₂²×D₁₃	1	1	yes	characteristic
1084	#95	C₂²×D₁₃	1	1	yes	characteristic
1085	#95	C₂²×D₁₃	1	1	yes	characteristic
1086	#95	C₂²×D₁₃	1	1	yes	characteristic
1087	#95	C₂²×D₁₃	1	1	yes	characteristic
1088	#95	C₂²×D₁₃	1	1	yes	characteristic
1089	C₂×C₁₃	—	4	2	no	—
1090	C₂×C₁₃	C₂×C₄×#41	1	1	yes	characteristic
1091	C₂×C₁₃	C₄×H(5,𝔽₂)	1	1	yes	characteristic
1092	C₂×C₁₃	C₄×2₋¹⁺⁴	1	1	yes	characteristic
1093	C₂×C₁₃	C₂×#542	1	1	yes	characteristic
1094	C₂×C₁₃	#3455	1	1	yes	characteristic
1095	C₂×C₁₃	#3460	1	1	yes	characteristic
1096	C₂×C₁₃	#3461	1	1	yes	characteristic
1097	D₁₃	—	4	2	no	—
1098	D₁₃	—	4	2	no	—
1099	C₂⁴	—	13	1	no	—
1100	C₂⁴	—	13	1	no	—
1101	C₂⁴	C₂³×D₁₃	1	1	yes	characteristic
1102	C₂×Q₈	—	4	1	no	—
1103	C₂×Q₈	—	4	1	no	—
1104	C₂×Q₈	—	13	4	no	—
1105	C₂×Q₈	—	13	4	no	—
1106	C₂×Q₈	—	26	2	no	—
1107	C₂×Q₈	—	26	2	no	—
1108	C₂×Q₈	—	52	1	no	—
1109	C₂×Q₈	—	52	1	no	—
1110	C₂×Q₈	C₂×C₄×D₁₃	1	4	yes	—
1111	C₂×D₄	—	13	4	no	—
1112	C₂×D₄	—	13	4	no	—
1113	C₂×D₄	—	13	4	no	—
1114	C₂×D₄	—	26	2	no	—
1115	C₂×D₄	—	26	2	no	—
1116	C₂×D₄	—	52	1	no	—
1117	C₂×D₄	—	52	1	no	—
1118	C₂×D₄	—	52	1	no	—
1119	C₂×D₄	—	52	1	no	—
1120	C₂²×C₄	—	2	2	no	—
1121	C₂²×C₄	—	2	2	no	—
1122	C₂²×C₄	—	2	2	no	—
1123	C₂²×C₄	—	2	2	no	—
1124	C₂²×C₄	—	4	1	no	—
1125	C₂²×C₄	—	4	1	no	—
1126	C₂²×C₄	—	4	1	no	—
1127	C₂²×C₄	—	4	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	—	13	1	no	—
1133	C₂²×C₄	—	13	1	no	—
1134	C₂²×C₄	—	13	1	no	—
1135	C₂²×C₄	—	13	1	no	—
1136	C₂²×C₄	—	13	4	no	—
1137	C₂²×C₄	—	13	4	no	—
1138	C₂²×C₄	—	13	1	no	—
1139	C₂²×C₄	—	13	1	no	—
1140	C₂²×C₄	—	13	1	no	—
1141	C₂²×C₄	—	13	1	no	—
1142	C₂²×C₄	—	13	1	no	—
1143	C₂²×C₄	—	13	1	no	—
1144	C₂²×C₄	—	26	2	no	—
1145	C₂²×C₄	—	26	2	no	—
1146	C₂²×C₄	—	26	2	no	—
1147	C₂²×C₄	—	26	2	no	—
1148	C₂²×C₄	—	26	2	no	—
1149	C₂²×C₄	—	26	2	no	—
1150	C₂²×C₄	—	26	2	no	—
1151	C₂²×C₄	—	26	2	no	—
1152	C₂²×C₄	—	26	2	no	—
1153	C₂²×C₄	—	26	2	no	—
1154	C₂²×C₄	—	52	1	no	—
1155	C₂²×C₄	—	52	1	no	—
1156	C₂²×C₄	—	52	1	no	—
1157	C₂²×C₄	—	52	1	no	—
1158	C₂²×C₄	—	52	1	no	—
1159	C₂²×C₄	—	52	1	no	—
1160	C₂²×C₄	C₂×C₄×D₁₃	1	4	yes	—
1161	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1162	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1163	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1164	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1165	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1166	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1167	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1168	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1169	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1170	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1171	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1172	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1173	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1174	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1175	C₄⋊C₄	—	2	2	no	—
1176	C₄⋊C₄	—	2	2	no	—
1177	C₄⋊C₄	—	4	1	no	—
1178	C₄⋊C₄	—	4	1	no	—
1179	C₄⋊C₄	—	4	1	no	—
1180	C₄⋊C₄	—	4	1	no	—
1181	C₄⋊C₄	—	13	4	no	—
1182	C₄⋊C₄	—	13	4	no	—
1183	C₄⋊C₄	—	13	4	no	—
1184	C₄⋊C₄	—	13	4	no	—
1185	C₄⋊C₄	—	13	4	no	—
1186	C₄⋊C₄	—	13	4	no	—
1187	C₄⋊C₄	—	13	4	no	—
1188	C₄⋊C₄	—	26	2	no	—
1189	C₄⋊C₄	—	26	2	no	—
1190	C₄⋊C₄	—	26	2	no	—
1191	C₄⋊C₄	—	26	2	no	—
1192	C₄⋊C₄	—	26	2	no	—
1193	C₄⋊C₄	—	26	2	no	—
1194	C₄⋊C₄	—	26	2	no	—
1195	C₄⋊C₄	—	26	2	no	—
1196	C₄⋊C₄	—	52	1	no	—
1197	C₄⋊C₄	—	52	1	no	—
1198	C₄⋊C₄	—	52	1	no	—
1199	C₄⋊C₄	—	52	1	no	—
1200	C₄⋊C₄	—	52	1	no	—
1201	C₄⋊C₄	—	52	1	no	—
1202	C₄⋊C₄	—	52	1	no	—
1203	C₄⋊C₄	—	52	1	no	—
1204	C₄⋊C₄	C₂×C₄×D₁₃	1	4	yes	—
1205	C₄⋊C₄	C₂×C₄×D₁₃	1	4	yes	—
1206	C₄⋊C₄	C₂×C₄×D₁₃	1	4	yes	—
1207	C₂²⋊C₄	—	4	1	no	—
1208	C₂²⋊C₄	—	4	1	no	—
1209	C₂²⋊C₄	—	13	4	no	—
1210	C₂²⋊C₄	—	13	4	no	—
1211	C₂²⋊C₄	—	13	4	no	—
1212	C₂²⋊C₄	—	13	4	no	—
1213	C₂²⋊C₄	—	13	4	no	—
1214	C₂²⋊C₄	—	13	4	no	—
1215	C₂²⋊C₄	—	13	4	no	—
1216	C₂²⋊C₄	—	13	4	no	—
1217	C₂²⋊C₄	—	13	4	no	—
1218	C₂²⋊C₄	—	13	4	no	—
1219	C₂²⋊C₄	—	26	2	no	—
1220	C₂²⋊C₄	—	26	2	no	—
1221	C₂²⋊C₄	—	26	2	no	—
1222	C₂²⋊C₄	—	26	2	no	—
1223	C₂²⋊C₄	—	26	2	no	—
1224	C₂²⋊C₄	—	26	2	no	—
1225	C₂²⋊C₄	—	52	1	no	—
1226	C₂²⋊C₄	—	52	1	no	—
1227	C₂²⋊C₄	—	52	1	no	—
1228	C₂²⋊C₄	—	52	1	no	—
1229	C₂²⋊C₄	—	52	1	no	—
1230	C₂²⋊C₄	—	52	1	no	—
1231	C₂²⋊C₄	—	52	1	no	—
1232	C₂²⋊C₄	—	52	1	no	—
1233	C₂²⋊C₄	—	52	1	no	—
1234	C₂²⋊C₄	—	52	1	no	—
1235	C₂²⋊C₄	C₂×C₄×D₁₃	1	4	yes	—
1236	C₂²⋊C₄	C₂×C₄×D₁₃	1	4	yes	—
1237	C₄²	—	2	2	no	—
1238	C₄²	—	2	2	no	—
1239	C₄²	—	2	2	no	—
1240	C₄²	—	2	2	no	—
1241	C₄²	—	2	2	no	—
1242	C₄²	—	2	2	no	—
1243	C₄²	—	4	1	no	—
1244	C₄²	—	4	1	no	—
1245	C₄²	—	13	4	no	—
1246	C₄²	—	13	4	no	—
1247	C₄²	—	13	4	no	—
1248	C₄²	—	13	4	no	—
1249	C₄²	—	13	4	no	—
1250	C₄²	—	13	4	no	—
1251	C₄²	—	26	2	no	—
1252	C₄²	—	26	2	no	—
1253	C₄²	—	26	2	no	—
1254	C₄²	—	26	2	no	—
1255	C₄²	—	26	2	no	—
1256	C₄²	—	26	2	no	—
1257	C₄²	—	26	2	no	—
1258	C₄²	—	26	2	no	—
1259	C₄²	—	26	2	no	—
1260	C₄²	—	26	2	no	—
1261	C₄²	—	52	1	no	—
1262	C₄²	—	52	1	no	—
1263	C₄²	—	52	1	no	—
1264	C₄²	—	52	1	no	—
1265	C₄²	—	52	1	no	—
1266	C₄²	—	52	1	no	—
1267	C₄²	—	52	1	no	—
1268	C₄²	—	52	1	no	—
1269	C₄²	—	52	1	no	—
1270	C₄²	—	52	1	no	—
1271	C₁₃	C₄×#542	1	1	yes	characteristic, complemented, Sylow
1272	C₂³	—	2	1	no	—
1273	C₂³	—	2	1	no	—
1274	C₂³	—	2	1	no	—
1275	C₂³	—	2	1	no	—
1276	C₂³	—	2	1	no	—
1277	C₂³	—	2	1	no	—
1278	C₂³	—	13	2	no	—
1279	C₂³	—	13	2	no	—
1280	C₂³	—	26	1	no	—
1281	C₂³	—	26	1	no	—
1282	C₂³	—	26	1	no	—
1283	C₂³	—	26	1	no	—
1284	C₂³	—	26	1	no	—
1285	C₂³	—	26	1	no	—
1286	C₂³	—	26	1	no	—
1287	C₂³	—	26	1	no	—
1288	C₂³	—	26	1	no	—
1289	C₂³	—	26	1	no	—
1290	C₂³	—	26	1	no	—
1291	C₂³	—	26	1	no	—
1292	C₂³	C₂²×C₄×D₁₃	1	2	yes	—
1293	C₂³	C₂⁴×D₁₃	1	1	yes	characteristic
1294	Q₈	—	4	4	no	—
1295	Q₈	—	26	8	no	—
1296	Q₈	—	52	4	no	—
1297	D₄	—	26	8	no	—
1298	D₄	—	52	4	no	—
1299	D₄	—	52	4	no	—
1300	C₂×C₄	—	2	1	no	—
1301	C₂×C₄	—	2	1	no	—
1302	C₂×C₄	—	2	1	no	—
1303	C₂×C₄	—	2	1	no	—
1304	C₂×C₄	—	2	1	no	—
1305	C₂×C₄	—	2	1	no	—
1306	C₂×C₄	—	2	1	no	—
1307	C₂×C₄	—	2	1	no	—
1308	C₂×C₄	—	2	1	no	—
1309	C₂×C₄	—	2	1	no	—
1310	C₂×C₄	—	2	1	no	—
1311	C₂×C₄	—	2	1	no	—
1312	C₂×C₄	—	2	1	no	—
1313	C₂×C₄	—	2	1	no	—
1314	C₂×C₄	—	2	1	no	—
1315	C₂×C₄	—	2	1	no	—
1316	C₂×C₄	—	2	1	no	—
1317	C₂×C₄	—	2	1	no	—
1318	C₂×C₄	—	2	1	no	—
1319	C₂×C₄	—	2	1	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	—	2	1	no	—
1329	C₂×C₄	—	2	1	no	—
1330	C₂×C₄	—	2	1	no	—
1331	C₂×C₄	—	2	1	no	—
1332	C₂×C₄	—	4	4	no	—
1333	C₂×C₄	—	4	4	no	—
1334	C₂×C₄	—	4	4	no	—
1335	C₂×C₄	—	13	2	no	—
1336	C₂×C₄	—	13	2	no	—
1337	C₂×C₄	—	13	2	no	—
1338	C₂×C₄	—	13	2	no	—
1339	C₂×C₄	—	13	2	no	—
1340	C₂×C₄	—	13	2	no	—
1341	C₂×C₄	—	13	2	no	—
1342	C₂×C₄	—	13	2	no	—
1343	C₂×C₄	—	13	2	no	—
1344	C₂×C₄	—	13	2	no	—
1345	C₂×C₄	—	26	8	no	—
1346	C₂×C₄	—	26	1	no	—
1347	C₂×C₄	—	26	1	no	—
1348	C₂×C₄	—	26	1	no	—
1349	C₂×C₄	—	26	1	no	—
1350	C₂×C₄	—	26	1	no	—
1351	C₂×C₄	—	26	1	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	—	26	1	no	—
1357	C₂×C₄	—	26	1	no	—
1358	C₂×C₄	—	26	1	no	—
1359	C₂×C₄	—	26	1	no	—
1360	C₂×C₄	—	26	1	no	—
1361	C₂×C₄	—	26	1	no	—
1362	C₂×C₄	—	26	1	no	—
1363	C₂×C₄	—	26	1	no	—
1364	C₂×C₄	—	26	1	no	—
1365	C₂×C₄	—	26	1	no	—
1366	C₂×C₄	—	26	1	no	—
1367	C₂×C₄	—	26	1	no	—
1368	C₂×C₄	—	26	1	no	—
1369	C₂×C₄	—	26	1	no	—
1370	C₂×C₄	—	26	1	no	—
1371	C₂×C₄	—	26	1	no	—
1372	C₂×C₄	—	26	1	no	—
1373	C₂×C₄	—	26	1	no	—
1374	C₂×C₄	—	26	1	no	—
1375	C₂×C₄	—	26	1	no	—
1376	C₂×C₄	—	26	1	no	—
1377	C₂×C₄	—	26	1	no	—
1378	C₂×C₄	—	52	4	no	—
1379	C₂×C₄	—	52	4	no	—
1380	C₂×C₄	—	52	4	no	—
1381	C₂×C₄	—	52	4	no	—
1382	C₂×C₄	—	52	4	no	—
1383	C₂×C₄	C₂²×C₄×D₁₃	1	2	yes	—
1384	C₂×C₄	C₂²×C₄×D₁₃	1	2	yes	—
1385	C₂×C₄	C₂²×C₄×D₁₃	1	2	yes	—
1386	C₂×C₄	C₂²×C₄×D₁₃	1	2	yes	—
1387	C₂×C₄	C₂²×C₄×D₁₃	1	2	yes	—
1388	C₂×C₄	C₂²×C₄×D₁₃	1	2	yes	—
1389	C₂×C₄	#88251	1	2	yes	—
1390	C₂×C₄	#88254	1	2	yes	—
1391	C₂×C₄	#41×D₁₃	1	2	yes	—
1392	C₂×C₄	#41×D₁₃	1	2	yes	—
1393	C₂²	—	2	2	no	—
1394	C₂²	—	2	2	no	—
1395	C₂²	—	2	2	no	—
1396	C₂²	—	4	1	no	—
1397	C₂²	—	4	1	no	—
1398	C₂²	—	4	1	no	—
1399	C₂²	—	4	1	no	—
1400	C₂²	—	26	2	no	—
1401	C₂²	—	26	2	no	—
1402	C₂²	—	26	2	no	—
1403	C₂²	—	26	2	no	—
1404	C₂²	—	26	2	no	—
1405	C₂²	—	26	2	no	—
1406	C₂²	—	52	1	no	—
1407	C₂²	—	52	1	no	—
1408	C₂²	—	52	1	no	—
1409	C₂²	—	52	1	no	—
1410	C₂²	—	52	1	no	—
1411	C₂²	—	52	1	no	—
1412	C₂²	—	52	1	no	—
1413	C₂²	—	52	1	no	—
1414	C₂²	C₂³×C₄×D₁₃	1	1	yes	characteristic
1415	C₂²	C₂×#88251	1	1	yes	characteristic
1416	C₂²	C₂×#88254	1	1	yes	characteristic
1417	C₂²	C₂×#41×D₁₃	1	1	yes	characteristic
1418	C₂²	C₂×#41×D₁₃	1	1	yes	characteristic
1419	C₂²	#11719648	1	1	yes	characteristic
1420	C₂²	#11719648	1	1	yes	characteristic
1421	C₄	—	2	2	no	—
1422	C₄	—	2	2	no	—
1423	C₄	—	2	2	no	—
1424	C₄	—	2	2	no	—
1425	C₄	—	2	2	no	—
1426	C₄	—	2	2	no	—
1427	C₄	—	2	2	no	—
1428	C₄	—	4	1	no	—
1429	C₄	—	4	1	no	—
1430	C₄	—	4	1	no	—
1431	C₄	—	4	1	no	—
1432	C₄	—	4	1	no	—
1433	C₄	—	4	1	no	—
1434	C₄	—	13	4	no	—
1435	C₄	—	26	2	no	—
1436	C₄	—	26	2	no	—
1437	C₄	—	26	2	no	—
1438	C₄	—	26	2	no	—
1439	C₄	—	26	2	no	—
1440	C₄	—	26	2	no	—
1441	C₄	—	26	2	no	—
1442	C₄	—	52	1	no	—
1443	C₄	—	52	1	no	—
1444	C₄	—	52	1	no	—
1445	C₄	—	52	1	no	—
1446	C₄	—	52	1	no	—
1447	C₄	—	52	1	no	—
1448	C₄	#11719345	1	4	yes	direct product factor
1449	C₂	—	4	2	no	—
1450	C₂	—	52	2	no	—
1451	C₂	—	52	2	no	—
1452	C₂	C₄×#41×D₁₃	1	1	yes	characteristic
1453	C₂	C₄×#88251	1	1	yes	characteristic
1454	C₂	C₄×#88254	1	1	yes	characteristic
1455	C₂	C₂×#11719345	1	1	yes	characteristic
1456	C₂	#13128219	1	1	yes	characteristic
1457	C₂	#13128254	1	1	yes	characteristic
1458	C₂	#13128267	1	1	yes	characteristic

	subgroup	G/H
center	C₂²×C₄	C₂³×D₁₃
commutator	C₂²×C₁₃	C₂⁴×C₄
Frattini	C₂³	C₂⁴×D₁₃
Fitting	C₄×C₁₃×C₂²⋊Q₈	C₂
socle, cosocle	C₂³×C₁₃	C₂⁵
prime radical	C₂×#88138	C₂²
hypercenter	C₄×C₂²⋊Q₈	D₁₃
hypocenter	C₁₃	C₄×#542
LCS	G ▷ C₂²×C₁₃ ▷ C₁₃
UCS	C₁ ◁ C₂²×C₄ ◁ C₄×C₂²⋊Q₈

Complements

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

N	H ≅ G/N	type
2. #13117650	C₂	semidirect
3. #13117648	C₂	semidirect
4. #13117632	C₂	semidirect
5. #13117622	C₂	semidirect
6. #13117606	C₂	semidirect
7. #13117604	C₂	semidirect
8. #13117594	C₂	semidirect
9. #13117590	C₂	semidirect
10. #13117579	C₂	semidirect
11. #13117542	C₂	semidirect
13. #13117513	C₂	semidirect
14. #13117485	C₂	semidirect
15. #13117478	C₂	semidirect
16. #13117442	C₂	semidirect
17. C₄×#88198	C₂	semidirect
18. C₄×#88152	C₂	semidirect
19. C₄×#88133	C₂	semidirect
20. C₄×#88201	C₂	semidirect
21. C₄×#88139	C₂	semidirect
22. C₄×#88139	C₂	semidirect
23. C₄×#88150	C₂	semidirect
24. C₄×#88150	C₂	semidirect
25. C₄×#88148	C₂	semidirect
26. C₄×#88183	C₂	semidirect
28. C₄×#88141	C₂	semidirect
29. C₄²×C₂²⋊D₁₃	C₂	semidirect
30. C₄×#88146	C₂	semidirect
31. C₄×C₁₃×C₂²⋊Q₈	C₂	semidirect
42. #11719345	C₄	direct (N × H)
203. C₁₃×C₂²⋊Q₈	C₂×C₄	semidirect
233. #88201	C₂×C₄	semidirect
234. #88198	C₂×C₄	semidirect
235. #88183	C₂×C₄	semidirect
239. C₄×C₂²⋊D₁₃	C₂×C₄	semidirect
309. #88152	C₂×C₄	semidirect
310. #88150	C₂×C₄	semidirect
311. #88150	C₂×C₄	semidirect
312. #88148	C₂×C₄	semidirect
314. #88146	C₂×C₄	semidirect
316. #88141	C₂×C₄	semidirect
317. #88139	C₂×C₄	semidirect
318. #88139	C₂×C₄	semidirect
320. #88133	C₂×C₄	semidirect
567. C₄×C₂²⋊Q₈	D₁₃	semidirect
892. C₄×C₁₃	#542	semidirect
932. C₂²⋊Q₈	C₄×D₁₃	semidirect
1271. C₁₃	C₄×#542	semidirect
1448. C₄	#11719345	direct (N × H)

Maximal subgroups

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

subgroup	index
C₂×#11719345	2
#13117650	2
#13117648	2
#13117632	2
#13117622	2
#13117606	2
#13117604	2
#13117594	2
#13117590	2
#13117579	2
#13117542	2
#13117528	2
#13117513	2
#13117485	2
#13117478	2
#13117442	2
C₄×#88198	2
C₄×#88152	2
C₄×#88133	2
C₄×#88201	2
C₄×#88139	2
C₄×#88150	2
C₄×#88148	2
C₄×#88183	2
C₄×#88138	2
C₄×#88141	2
C₄²×C₂²⋊D₁₃	2
C₄×#88146	2
C₄×C₁₃×C₂²⋊Q₈	2
C₄×#542	13

Subgroups — C4×#11719345 #16022045

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₄×#11719345 #16022045