Subgroups — C₄×#11719417 #16025632

Order 3328.

2024 conjugacy classes of subgroups.

The subgroup lattice has 1380 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×#11719417	C₂	1	1	yes	maximal, characteristic
2	#13118028	C₂	1	1	yes	maximal, characteristic, complemented
3	#13118026	C₂	1	1	yes	maximal, characteristic, complemented
4	#13118025	C₂	1	1	yes	maximal, characteristic, complemented
5	#13118023	C₂	1	1	yes	maximal, characteristic, complemented
6	#13118020	C₂	1	1	yes	maximal, characteristic, complemented
7	#13118019	C₂	1	1	yes	maximal, characteristic, complemented
8	#13118016	C₂	1	1	yes	maximal, characteristic, complemented
9	#13118014	C₂	1	1	yes	maximal, characteristic, complemented
10	#13118005	C₂	1	1	yes	maximal, characteristic
11	#13118003	C₂	1	1	yes	maximal, characteristic, complemented
12	#13118001	C₂	1	1	yes	maximal, characteristic, complemented
13	#13118000	C₂	1	1	yes	maximal, characteristic, complemented
14	#13117996	C₂	1	1	yes	maximal, characteristic, complemented
15	#13117982	C₂	1	1	yes	maximal, characteristic
16	#13117978	C₂	1	1	yes	maximal, characteristic
17	C₄×#88123	C₂	1	1	yes	maximal, characteristic, complemented
18	C₄×#88142	C₂	1	1	yes	maximal, characteristic, complemented
19	C₄×#88144	C₂	1	1	yes	maximal, characteristic, complemented
20	C₄×#88143	C₂	1	1	yes	maximal, characteristic, complemented
21	C₄×#88152	C₂	1	1	yes	maximal, characteristic, complemented
22	C₄×#88130	C₂	1	1	yes	maximal, characteristic, complemented
23	C₄×#88133	C₂	1	1	yes	maximal, characteristic, complemented
24	C₄×#88139	C₂	1	1	yes	maximal, characteristic
25	C₄×#88151	C₂	1	1	yes	maximal, characteristic, complemented
26	C₄×#88150	C₂	1	1	yes	maximal, characteristic, complemented
27	C₄×#88132	C₂	1	1	yes	maximal, characteristic, complemented
28	C₄×#88132	C₂	1	1	yes	maximal, characteristic, complemented
29	C₄×#88140	C₂	1	1	yes	maximal, characteristic
30	C₄×#88137	C₂	1	1	yes	maximal, characteristic
31	C₄×C₁₃×#126	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	#11719417	C₄	1	16	yes	direct product factor
36	C₂×#88152	C₂²	1	1	yes	characteristic
37	C₂×#88151	C₂²	1	1	yes	characteristic
38	C₂×#88150	C₂²	1	1	yes	characteristic
39	C₂×#88144	C₂²	1	1	yes	characteristic
40	C₂×#88143	C₂²	1	1	yes	characteristic
41	C₂×#88142	C₂²	1	1	yes	characteristic
42	C₂×#88140	C₂²	1	1	yes	characteristic
43	C₂×#88139	C₂²	1	1	yes	characteristic
44	C₂×#88137	C₂²	1	1	yes	characteristic
45	C₂×#88133	C₂²	1	1	yes	characteristic
46	C₂×#88132	C₂²	1	1	yes	characteristic
47	C₂×#88132	C₂²	1	1	yes	characteristic
48	C₂×#88130	C₂²	1	1	yes	characteristic
49	C₂×C₄²×D₁₃	C₂²	1	1	yes	characteristic
50	C₂×#88123	C₂²	1	1	yes	characteristic
51	C₂×C₄×Dic₂₆	C₂²	1	1	yes	characteristic
52	C₂×C₄×Dic₂₆	C₂²	1	1	yes	characteristic
53	C₂×C₄×Dic₂₆	C₂²	1	1	yes	characteristic
54	C₁₃×#388	C₂²	1	1	yes	characteristic
55	C₁₃×#388	C₂²	1	1	yes	characteristic
56	C₁₃×#388	C₂²	1	1	yes	characteristic
57	C₁₃×#387	C₂²	1	1	yes	characteristic
58	C₁₃×#387	C₂²	1	1	yes	characteristic
59	C₁₃×#387	C₂²	1	1	yes	characteristic
60	C₁₃×#383	C₂²	1	1	yes	characteristic
61	C₄×C₁₃×C₄⋊C₄	C₂²	1	1	yes	characteristic
62	C₄×C₁₃×C₄⋊C₄	C₂²	1	1	yes	characteristic
63	C₄×C₁₃×C₄⋊C₄	C₂²	1	1	yes	characteristic
64	C₄×C₁₃×C₂²⋊C₄	C₂²	1	1	yes	characteristic
65	C₄×C₁₃×C₂²⋊C₄	C₂²	1	1	yes	characteristic
66	C₄×C₁₃×C₂²⋊C₄	C₂²	1	1	yes	characteristic
67	C₄³×C₁₃	C₂²	1	1	yes	characteristic
68	C₄×C₂²⋊Dic₁₃	C₂²	1	1	yes	characteristic
69	C₄×C₂²⋊Dic₁₃	C₂²	1	1	yes	characteristic
70	#11718651	C₂²	1	1	yes	characteristic
71	#11718650	C₂²	1	1	yes	characteristic
72	#11718648	C₂²	1	1	yes	characteristic
73	#11718646	C₂²	1	1	yes	characteristic
74	#11718646	C₂²	1	1	yes	characteristic
75	#11718646	C₂²	1	1	yes	characteristic
76	#11718642	C₂²	1	1	yes	characteristic
77	#11718642	C₂²	1	1	yes	characteristic
78	#11718642	C₂²	1	1	yes	characteristic
79	#11718639	C₂²	1	1	yes	characteristic
80	#11718639	C₂²	1	1	yes	characteristic
81	#11718638	C₂²	1	1	yes	characteristic
82	#11718637	C₂²	1	1	yes	characteristic
83	#11718635	C₂²	1	1	yes	characteristic
84	#11718634	C₂²	1	1	yes	characteristic
85	#11718634	C₂²	1	1	yes	characteristic
86	#11718633	C₂²	1	1	yes	characteristic
87	#11718633	C₂²	1	1	yes	characteristic
88	#11718619	C₂²	1	1	yes	characteristic
89	#11718618	C₂²	1	1	yes	characteristic
90	#11718617	C₂²	1	1	yes	characteristic
91	#11718612	C₂²	1	1	yes	characteristic
92	#11718612	C₂²	1	1	yes	characteristic
93	#11718612	C₂²	1	1	yes	characteristic
94	#11718611	C₂²	1	1	yes	characteristic
95	#11718611	C₂²	1	1	yes	characteristic
96	#11718611	C₂²	1	1	yes	characteristic
97	#11718607	C₂²	1	1	yes	characteristic
98	#11718607	C₂²	1	1	yes	characteristic
99	#11718606	C₂²	1	1	yes	characteristic
100	#11718606	C₂²	1	1	yes	characteristic
101	#11718605	C₂²	1	1	yes	characteristic
102	#11718605	C₂²	1	1	yes	characteristic
103	#11718604	C₂²	1	1	yes	characteristic
104	#11718603	C₂²	1	1	yes	characteristic
105	#11718603	C₂²	1	1	yes	characteristic
106	#11718601	C₂²	1	1	yes	characteristic
107	#11718601	C₂²	1	1	yes	characteristic
108	#11718601	C₂²	1	1	yes	characteristic
109	C₄×#6103	C₂²	1	1	yes	characteristic
110	C₄×#6103	C₂²	1	1	yes	characteristic
111	C₄×#6103	C₂²	1	1	yes	characteristic
112	C₄×#6103	C₂²	1	1	yes	characteristic
113	C₄×#6103	C₂²	1	1	yes	characteristic
114	#11718598	C₂²	1	1	yes	characteristic
115	#11718596	C₂²	1	1	yes	characteristic
116	C₄×C₄⋊Dic₁₃	C₂²	1	1	yes	characteristic
117	C₄×C₄⋊Dic₁₃	C₂²	1	1	yes	characteristic
118	C₄×C₄⋊Dic₁₃	C₂²	1	1	yes	characteristic
119	C₄×C₄⋊Dic₁₃	C₂²	1	1	yes	characteristic
120	C₄×C₄⋊Dic₁₃	C₂²	1	1	yes	characteristic
121	C₄×C₄⋊Dic₁₃	C₂²	1	1	yes	characteristic
122	#11718594	C₂²	1	1	yes	characteristic
123	#11718594	C₂²	1	1	yes	characteristic
124	#11718594	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	#11718590	C₂²	1	1	yes	characteristic
135	#11718590	C₂²	1	1	yes	characteristic
136	#11718589	C₂²	1	1	yes	characteristic
137	#11718589	C₂²	1	1	yes	characteristic
138	#11718589	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	#11718331	C₂²	1	1	yes	characteristic
143	#11718331	C₂²	1	1	yes	characteristic
144	#11718330	C₂²	1	1	yes	characteristic
145	#11718330	C₂²	1	1	yes	characteristic
146	#11718329	C₂²	1	1	yes	characteristic
147	#11718329	C₂²	1	1	yes	characteristic
148	#11718329	C₂²	1	1	yes	characteristic
149	#11718329	C₂²	1	1	yes	characteristic
150	#11718328	C₂²	1	1	yes	characteristic
151	#11718325	C₂²	1	1	yes	characteristic
152	#11718316	C₂²	1	1	yes	characteristic
153	#11718316	C₂²	1	1	yes	characteristic
154	#11718316	C₂²	1	1	yes	characteristic
155	#11718316	C₂²	1	1	yes	characteristic
156	#11718316	C₂²	1	1	yes	characteristic
157	#11718315	C₂²	1	1	yes	characteristic
158	#11718315	C₂²	1	1	yes	characteristic
159	#11718315	C₂²	1	1	yes	characteristic
160	#11718315	C₂²	1	1	yes	characteristic
161	#11718315	C₂²	1	1	yes	characteristic
162	#11718315	C₂²	1	1	yes	characteristic
163	#11718314	C₂²	1	1	yes	characteristic
164	#11718314	C₂²	1	1	yes	characteristic
165	#11718314	C₂²	1	1	yes	characteristic
166	#11718314	C₂²	1	1	yes	characteristic
167	#11718314	C₂²	1	1	yes	characteristic
168	#11718314	C₂²	1	1	yes	characteristic
169	#11718313	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	#11718308	C₂²	1	1	yes	characteristic
178	#11718308	C₂²	1	1	yes	characteristic
179	#11718308	C₂²	1	1	yes	characteristic
180	#11718308	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×C₂²⋊C₄	C₂³	1	1	yes	characteristic
206	C₂×C₁₃×C₂²⋊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×C₄²×C₁₃	C₂³	1	1	yes	characteristic
212	C₂×C₄²×C₁₃	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	—	4	2	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×C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic
244	C₂×C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic
245	C₂×C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic
246	C₂×C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic
247	C₂×C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic
248	C₂×C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic
249	C₂×C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic
250	C₂×C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic
251	C₂×C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic
252	C₂×C₄⋊Dic₁₃	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×#6101	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×C₄×Dic₁₃	—	4	2	no	—
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	#88152	C₂×C₄	1	8	yes	complemented
295	#88151	C₂×C₄	1	8	yes	complemented
296	#88150	C₂×C₄	1	8	yes	complemented
297	#88144	C₂×C₄	1	8	yes	complemented
298	#88143	C₂×C₄	1	8	yes	complemented
299	#88142	C₂×C₄	1	8	yes	complemented
300	#88140	C₂×C₄	1	8	yes	—
301	#88139	C₂×C₄	1	8	yes	—
302	#88137	C₂×C₄	1	8	yes	—
303	#88133	C₂×C₄	1	8	yes	complemented
304	#88132	C₂×C₄	1	8	yes	complemented
305	#88132	C₂×C₄	1	8	yes	complemented
306	#88130	C₂×C₄	1	8	yes	complemented
307	C₄²×D₁₃	—	4	2	no	—
308	#88123	C₂×C₄	1	8	yes	complemented
309	C₄×Dic₂₆	—	4	2	no	—
310	C₄×Dic₂₆	—	4	2	no	—
311	C₄×Dic₂₆	—	4	2	no	—
312	C₁₃×#95	C₂³	1	1	yes	characteristic
313	C₁₃×#95	C₂³	1	1	yes	characteristic
314	C₁₃×#95	C₂³	1	1	yes	characteristic
315	C₁₃×#95	C₂³	1	1	yes	characteristic
316	C₁₃×#95	C₂³	1	1	yes	characteristic
317	C₁₃×#95	C₂³	1	1	yes	characteristic
318	C₁₃×#95	C₂³	1	1	yes	characteristic
319	C₁₃×#95	C₂³	1	1	yes	characteristic
320	C₁₃×#95	C₂³	1	1	yes	characteristic
321	C₁₃×#95	C₂³	1	1	yes	characteristic
322	C₁₃×#95	C₂³	1	1	yes	characteristic
323	C₁₃×#95	C₂³	1	1	yes	characteristic
324	#88071	C₂³	1	1	yes	characteristic
325	#88071	C₂³	1	1	yes	characteristic
326	#88071	C₂³	1	1	yes	characteristic
327	#88071	C₂³	1	1	yes	characteristic
328	#88071	C₂³	1	1	yes	characteristic
329	#88071	C₂³	1	1	yes	characteristic
330	#88071	C₂³	1	1	yes	characteristic
331	#88071	C₂³	1	1	yes	characteristic
332	#88071	C₂³	1	1	yes	characteristic
333	#88071	C₂³	1	1	yes	characteristic
334	#88071	C₂³	1	1	yes	characteristic
335	#88071	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	C₄×#563	—	13	1	no	maximal, Sylow
365	C₂⁴×C₁₃	C₂⁴	1	1	yes	characteristic
366	C₂³×D₁₃	C₂⁴	1	1	yes	characteristic
367	C₂²×C₄×C₁₃	—	2	2	no	—
368	C₂²×C₄×C₁₃	—	2	2	no	—
369	C₂²×C₄×C₁₃	—	2	2	no	—
370	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
371	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
372	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
373	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
374	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
375	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
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	C₂×C₂²⋊D₁₃	—	4	1	no	—
385	C₂×C₂²⋊D₁₃	—	4	1	no	—
386	C₂×C₂²⋊D₁₃	C₂²×C₄	1	4	yes	—
387	C₂²×Dic₁₃	—	4	1	no	—
388	C₂²×Dic₁₃	—	4	1	no	—
389	C₂²×Dic₁₃	—	4	1	no	—
390	C₂²×Dic₁₃	—	4	1	no	—
391	C₂²×Dic₁₃	—	4	1	no	—
392	C₂²×Dic₁₃	C₂²×C₄	1	4	yes	—
393	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
394	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
395	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
396	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
397	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
398	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
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	C₂×C₄×D₁₃	—	2	2	no	—
409	C₂×C₄×D₁₃	—	2	2	no	—
410	C₂×C₄×D₁₃	—	2	2	no	—
411	C₂×C₄×D₁₃	—	4	1	no	—
412	C₂×C₄×D₁₃	—	4	1	no	—
413	C₂×C₄×D₁₃	—	4	1	no	—
414	C₂×C₄×D₁₃	—	4	1	no	—
415	C₂×C₄×D₁₃	—	4	1	no	—
416	C₂×C₄×D₁₃	C₂²×C₄	1	4	yes	—
417	C₂×Dic₂₆	—	4	1	no	—
418	C₂×Dic₂₆	—	4	1	no	—
419	C₂×Dic₂₆	—	4	1	no	—
420	C₂×Dic₂₆	—	4	1	no	—
421	C₂×Dic₂₆	—	4	1	no	—
422	C₂×Dic₂₆	—	4	1	no	—
423	C₂×Dic₂₆	C₂²×C₄	1	4	yes	—
424	C₂×Dic₂₆	C₂²×C₄	1	4	yes	—
425	C₂×Dic₂₆	C₂²×C₄	1	4	yes	—
426	C₁₃×C₄⋊C₄	—	4	1	no	—
427	C₁₃×C₄⋊C₄	—	4	1	no	—
428	C₁₃×C₄⋊C₄	—	4	1	no	—
429	C₁₃×C₄⋊C₄	C₂²×C₄	1	4	yes	—
430	C₁₃×C₄⋊C₄	C₂²×C₄	1	4	yes	—
431	C₁₃×C₄⋊C₄	C₂²×C₄	1	4	yes	—
432	C₁₃×C₂²⋊C₄	—	4	1	no	—
433	C₁₃×C₂²⋊C₄	—	4	1	no	—
434	C₁₃×C₂²⋊C₄	—	4	1	no	—
435	C₁₃×C₂²⋊C₄	C₂²×C₄	1	4	yes	—
436	C₁₃×C₂²⋊C₄	C₂²×C₄	1	4	yes	—
437	C₁₃×C₂²⋊C₄	C₂²×C₄	1	4	yes	—
438	C₄²×C₁₃	—	2	2	no	—
439	C₄²×C₁₃	—	2	2	no	—
440	C₄²×C₁₃	—	2	2	no	—
441	C₄²×C₁₃	—	2	2	no	—
442	C₄²×C₁₃	—	2	2	no	—
443	C₄²×C₁₃	—	2	2	no	—
444	C₄²×C₁₃	—	4	1	no	—
445	C₄²×C₁₃	—	4	1	no	—
446	C₄²×C₁₃	—	4	1	no	—
447	C₄²×C₁₃	C₂²×C₄	1	4	yes	—
448	C₂²⋊Dic₁₃	—	4	1	no	—
449	C₂²⋊Dic₁₃	—	4	1	no	—
450	C₂²⋊Dic₁₃	—	4	1	no	—
451	C₂²⋊Dic₁₃	C₂²×C₄	1	4	yes	—
452	C₂²⋊Dic₁₃	C₂²×C₄	1	4	yes	—
453	#6103	—	4	1	no	—
454	#6103	—	4	1	no	—
455	#6103	—	4	1	no	—
456	#6103	—	4	1	no	—
457	#6103	—	4	1	no	—
458	#6103	—	4	1	no	—
459	#6103	C₂²×C₄	1	4	yes	—
460	#6103	C₂²×C₄	1	4	yes	—
461	#6103	C₂²×C₄	1	4	yes	—
462	#6103	C₂²×C₄	1	4	yes	—
463	#6103	C₂²×C₄	1	4	yes	—
464	C₄⋊Dic₁₃	—	4	1	no	—
465	C₄⋊Dic₁₃	—	4	1	no	—
466	C₄⋊Dic₁₃	—	4	1	no	—
467	C₄⋊Dic₁₃	—	4	1	no	—
468	C₄⋊Dic₁₃	—	4	1	no	—
469	C₄⋊Dic₁₃	—	4	1	no	—
470	C₄⋊Dic₁₃	—	4	1	no	—
471	C₄⋊Dic₁₃	—	4	1	no	—
472	C₄⋊Dic₁₃	—	4	1	no	—
473	C₄⋊Dic₁₃	C₂²×C₄	1	4	yes	—
474	C₄⋊Dic₁₃	C₂²×C₄	1	4	yes	—
475	C₄⋊Dic₁₃	C₂²×C₄	1	4	yes	—
476	C₄⋊Dic₁₃	C₂²×C₄	1	4	yes	—
477	C₄⋊Dic₁₃	C₂²×C₄	1	4	yes	—
478	C₄⋊Dic₁₃	C₂²×C₄	1	4	yes	—
479	#6101	—	4	1	no	—
480	#6101	—	4	1	no	—
481	#6101	—	4	1	no	—
482	#6101	—	4	1	no	—
483	#6101	—	4	1	no	—
484	#6101	—	4	1	no	—
485	#6101	—	4	1	no	—
486	#6101	—	4	1	no	—
487	#6101	—	4	1	no	—
488	#6101	—	4	1	no	—
489	#6101	—	4	1	no	—
490	#6101	—	4	1	no	—
491	#6101	—	4	1	no	—
492	#6101	—	4	1	no	—
493	#6101	C₂²×C₄	1	4	yes	—
494	#6101	C₂²×C₄	1	4	yes	—
495	#6101	C₂²×C₄	1	4	yes	—
496	#6101	C₂²×C₄	1	4	yes	—
497	#6101	C₂²×C₄	1	4	yes	—
498	#6101	C₂²×C₄	1	4	yes	—
499	#6101	C₂²×C₄	1	4	yes	—
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	—	4	1	no	—
508	C₄×Dic₁₃	—	4	1	no	—
509	C₄×Dic₁₃	—	4	1	no	—
510	C₄×Dic₁₃	—	4	1	no	—
511	C₄×Dic₁₃	—	4	1	no	—
512	C₄×Dic₁₃	—	4	1	no	—
513	C₄×Dic₁₃	—	4	1	no	—
514	C₄×Dic₁₃	—	4	1	no	—
515	C₄×Dic₁₃	—	4	1	no	—
516	C₄×Dic₁₃	—	4	1	no	—
517	C₄×Dic₁₃	C₂²×C₄	1	4	yes	—
518	C₄×Dic₁₃	C₂²×C₄	1	4	yes	—
519	C₂×#563	—	13	1	no	—
520	#2383	—	13	1	no	—
521	#2383	—	13	1	no	—
522	#2383	—	13	1	no	—
523	#2383	—	13	1	no	—
524	#2382	—	13	1	no	—
525	#2382	—	13	1	no	—
526	#2381	—	13	1	no	—
527	#2381	—	13	1	no	—
528	#2379	—	13	1	no	—
529	#2378	—	13	1	no	—
530	#2378	—	13	1	no	—
531	#2378	—	13	1	no	—
532	#2378	—	13	1	no	—
533	#2376	—	13	1	no	—
534	#2376	—	13	1	no	—
535	C₄×C₄⋊Q₈	—	13	1	no	—
536	C₄×C₄⋊Q₈	—	13	1	no	—
537	C₄×#125	—	13	1	no	—
538	C₄×#125	—	13	1	no	—
539	C₄×#126	—	13	1	no	—
540	C₄×#126	—	13	1	no	—
541	C₄×#126	—	13	1	no	—
542	C₄×#126	D₁₃	1	1	yes	characteristic, complemented
543	C₄×#124	—	13	1	no	—
544	C₄×C₂²⋊Q₈	—	13	1	no	—
545	C₄×C₂²⋊Q₈	—	13	1	no	—
546	C₄×C₂²⋊Q₈	—	13	1	no	—
547	C₄×C₂²⋊Q₈	—	13	1	no	—
548	C₄×#123	—	13	1	no	—
549	C₄×#123	—	13	1	no	—
550	C₂³×C₁₃	—	2	1	no	—
551	C₂³×C₁₃	—	2	1	no	—
552	C₂³×C₁₃	—	2	1	no	—
553	C₂³×C₁₃	—	2	1	no	—
554	C₂³×C₁₃	—	2	1	no	—
555	C₂³×C₁₃	—	2	1	no	—
556	C₂³×C₁₃	C₂³×C₄	1	2	yes	—
557	C₂³×C₁₃	C₂⁵	1	1	yes	characteristic
558	C₂²×D₁₃	—	2	1	no	—
559	C₂²×D₁₃	—	2	1	no	—
560	C₂²×D₁₃	—	2	1	no	—
561	C₂²×D₁₃	—	2	1	no	—
562	C₂²×D₁₃	—	2	1	no	—
563	C₂²×D₁₃	—	2	1	no	—
564	C₂²×D₁₃	C₂³×C₄	1	2	yes	—
565	C₂×C₄×C₁₃	—	2	1	no	—
566	C₂×C₄×C₁₃	—	2	1	no	—
567	C₂×C₄×C₁₃	—	2	1	no	—
568	C₂×C₄×C₁₃	—	2	1	no	—
569	C₂×C₄×C₁₃	—	2	1	no	—
570	C₂×C₄×C₁₃	—	2	1	no	—
571	C₂×C₄×C₁₃	—	2	1	no	—
572	C₂×C₄×C₁₃	—	2	1	no	—
573	C₂×C₄×C₁₃	—	2	1	no	—
574	C₂×C₄×C₁₃	—	2	1	no	—
575	C₂×C₄×C₁₃	—	2	1	no	—
576	C₂×C₄×C₁₃	—	2	1	no	—
577	C₂×C₄×C₁₃	—	2	1	no	—
578	C₂×C₄×C₁₃	—	2	1	no	—
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	—	4	4	no	—
599	C₂×C₄×C₁₃	C₂³×C₄	1	2	yes	—
600	C₂×C₄×C₁₃	C₂³×C₄	1	2	yes	—
601	C₂×C₄×C₁₃	C₂³×C₄	1	2	yes	—
602	C₂×C₄×C₁₃	C₂³×C₄	1	2	yes	—
603	C₂×C₄×C₁₃	C₂³×C₄	1	2	yes	—
604	C₂×C₄×C₁₃	C₂³×C₄	1	2	yes	—
605	C₂×C₄×C₁₃	H(5,𝔽₂)	1	2	yes	—
606	C₂×C₄×C₁₃	2₋¹⁺⁴	1	2	yes	—
607	C₂×C₄×C₁₃	2₋¹⁺⁴	1	2	yes	—
608	C₂²⋊D₁₃	—	4	4	no	—
609	C₂×Dic₁₃	—	2	1	no	—
610	C₂×Dic₁₃	—	2	1	no	—
611	C₂×Dic₁₃	—	2	1	no	—
612	C₂×Dic₁₃	—	2	1	no	—
613	C₂×Dic₁₃	—	2	1	no	—
614	C₂×Dic₁₃	—	2	1	no	—
615	C₂×Dic₁₃	—	2	1	no	—
616	C₂×Dic₁₃	—	2	1	no	—
617	C₂×Dic₁₃	—	2	1	no	—
618	C₂×Dic₁₃	—	2	1	no	—
619	C₂×Dic₁₃	—	2	1	no	—
620	C₂×Dic₁₃	—	2	1	no	—
621	C₂×Dic₁₃	—	2	1	no	—
622	C₂×Dic₁₃	—	2	1	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	1	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	—	4	4	no	—
648	C₂×Dic₁₃	—	4	4	no	—
649	C₂×Dic₁₃	C₂³×C₄	1	2	yes	—
650	C₂×Dic₁₃	C₂³×C₄	1	2	yes	—
651	C₂×Dic₁₃	C₂³×C₄	1	2	yes	—
652	C₂×Dic₁₃	C₂³×C₄	1	2	yes	—
653	C₂×Dic₁₃	C₂³×C₄	1	2	yes	—
654	C₂×Dic₁₃	C₂³×C₄	1	2	yes	—
655	C₂×Dic₁₃	C₂³×C₄	1	2	yes	—
656	C₄×D₁₃	—	4	4	no	—
657	C₄×D₁₃	—	4	4	no	—
658	C₄×D₁₃	—	4	4	no	—
659	Dic₂₆	—	4	4	no	—
660	Dic₂₆	—	4	4	no	—
661	Dic₂₆	—	4	4	no	—
662	#563	—	13	16	no	—
663	C₂×C₄⋊Q₈	—	13	1	no	—
664	C₂×C₄⋊Q₈	—	13	1	no	—
665	C₂×#126	—	13	1	no	—
666	C₂×#126	—	13	1	no	—
667	C₂×#126	—	13	1	no	—
668	C₂×#126	C₂×D₁₃	1	1	yes	characteristic
669	C₂×#125	—	13	1	no	—
670	C₂×#125	—	13	1	no	—
671	C₂×#124	—	13	1	no	—
672	C₂×#123	—	13	1	no	—
673	C₂×#123	—	13	1	no	—
674	C₂×C₂²⋊Q₈	—	13	1	no	—
675	C₂×C₂²⋊Q₈	—	13	1	no	—
676	C₂×C₂²⋊Q₈	—	13	1	no	—
677	C₂×C₂²⋊Q₈	—	13	1	no	—
678	C₂×C₄×Q₈	—	13	1	no	—
679	C₂×C₄×Q₈	—	13	1	no	—
680	C₂×C₄×Q₈	—	13	1	no	—
681	C₂×C₄×D₄	—	13	1	no	—
682	C₂²×C₄²	—	13	1	no	—
683	C₂²×C₄²	—	13	1	no	—
684	#391	—	13	1	no	—
685	#391	—	13	1	no	—
686	#391	—	13	1	no	—
687	#391	—	13	1	no	—
688	#391	—	13	1	no	—
689	#391	—	13	1	no	—
690	#391	—	13	1	no	—
691	#391	—	13	1	no	—
692	#391	—	13	1	no	—
693	#390	—	13	1	no	—
694	#389	—	13	1	no	—
695	#389	—	13	1	no	—
696	#389	—	13	1	no	—
697	#389	—	13	1	no	—
698	#389	—	13	1	no	—
699	#389	—	13	1	no	—
700	#389	—	13	1	no	—
701	#389	—	13	1	no	—
702	#389	—	13	1	no	—
703	#389	—	13	1	no	—
704	#389	—	13	1	no	—
705	#389	—	13	1	no	—
706	#389	—	13	1	no	—
707	#389	—	13	1	no	—
708	#389	—	13	1	no	—
709	#389	—	13	1	no	—
710	#388	—	13	1	no	—
711	#388	—	13	1	no	—
712	#388	—	13	1	no	—
713	#388	—	13	1	no	—
714	#388	—	13	1	no	—
715	#388	—	13	1	no	—
716	#388	—	13	1	no	—
717	#388	—	13	1	no	—
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	C₂×D₁₃	1	1	yes	characteristic
728	#388	C₂×D₁₃	1	1	yes	characteristic
729	#388	C₂×D₁₃	1	1	yes	characteristic
730	#387	—	13	1	no	—
731	#387	—	13	1	no	—
732	#387	—	13	1	no	—
733	#387	—	13	1	no	—
734	#387	—	13	1	no	—
735	#387	—	13	1	no	—
736	#387	—	13	1	no	—
737	#387	—	13	1	no	—
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	—	13	1	no	—
752	#387	—	13	1	no	—
753	#387	—	13	1	no	—
754	#387	—	13	1	no	—
755	#387	—	13	1	no	—
756	#387	—	13	1	no	—
757	#387	—	13	1	no	—
758	#387	—	13	1	no	—
759	#387	C₂×D₁₃	1	1	yes	characteristic
760	#387	C₂×D₁₃	1	1	yes	characteristic
761	#387	C₂×D₁₃	1	1	yes	characteristic
762	#386	—	13	1	no	—
763	#386	—	13	1	no	—
764	#385	—	13	1	no	—
765	#385	—	13	1	no	—
766	#385	—	13	1	no	—
767	#385	—	13	1	no	—
768	#385	—	13	1	no	—
769	#385	—	13	1	no	—
770	#385	—	13	1	no	—
771	#385	—	13	1	no	—
772	#385	—	13	1	no	—
773	#385	—	13	1	no	—
774	#384	—	13	1	no	—
775	#384	—	13	1	no	—
776	#383	—	13	1	no	—
777	#383	—	13	1	no	—
778	#383	—	13	1	no	—
779	#383	C₂×D₁₃	1	1	yes	characteristic
780	#382	—	13	1	no	—
781	#382	—	13	1	no	—
782	#382	—	13	1	no	—
783	#381	—	13	1	no	—
784	#381	—	13	1	no	—
785	#380	—	13	1	no	—
786	#380	—	13	1	no	—
787	#380	—	13	1	no	—
788	#380	—	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	—	13	1	no	—
801	C₄×C₄⋊C₄	—	13	1	no	—
802	C₄×C₄⋊C₄	C₂×D₁₃	1	1	yes	characteristic
803	C₄×C₄⋊C₄	C₂×D₁₃	1	1	yes	characteristic
804	C₄×C₄⋊C₄	C₂×D₁₃	1	1	yes	characteristic
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	C₂×D₁₃	1	1	yes	characteristic
813	C₄×C₂²⋊C₄	C₂×D₁₃	1	1	yes	characteristic
814	C₄×C₂²⋊C₄	C₂×D₁₃	1	1	yes	characteristic
815	C₄³	—	13	1	no	—
816	C₄³	—	13	1	no	—
817	C₄³	C₂×D₁₃	1	1	yes	characteristic
818	C₂²×C₁₃	—	2	2	no	—
819	C₂²×C₁₃	—	2	2	no	—
820	C₂²×C₁₃	—	2	2	no	—
821	C₂²×C₁₃	—	4	1	no	—
822	C₂²×C₁₃	—	4	1	no	—
823	C₂²×C₁₃	—	4	1	no	—
824	C₂²×C₁₃	—	4	1	no	—
825	C₂²×C₁₃	C₂⁴×C₄	1	1	yes	characteristic
826	C₂²×C₁₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
827	C₂²×C₁₃	C₂×2₋¹⁺⁴	1	1	yes	characteristic
828	C₂²×C₁₃	C₂×2₋¹⁺⁴	1	1	yes	characteristic
829	C₂²×C₁₃	#585	1	1	yes	characteristic
830	C₂²×C₁₃	#585	1	1	yes	characteristic
831	C₂²×C₁₃	#585	1	1	yes	characteristic
832	C₂×D₁₃	—	2	2	no	—
833	C₂×D₁₃	—	2	2	no	—
834	C₂×D₁₃	—	2	2	no	—
835	C₂×D₁₃	—	4	1	no	—
836	C₂×D₁₃	—	4	1	no	—
837	C₂×D₁₃	—	4	1	no	—
838	C₂×D₁₃	—	4	1	no	—
839	C₄×C₁₃	—	2	2	no	—
840	C₄×C₁₃	—	2	2	no	—
841	C₄×C₁₃	—	2	2	no	—
842	C₄×C₁₃	—	2	2	no	—
843	C₄×C₁₃	—	2	2	no	—
844	C₄×C₁₃	—	2	2	no	—
845	C₄×C₁₃	—	4	1	no	—
846	C₄×C₁₃	—	4	1	no	—
847	C₄×C₁₃	—	4	1	no	—
848	C₄×C₁₃	—	4	1	no	—
849	C₄×C₁₃	—	4	1	no	—
850	C₄×C₁₃	—	4	1	no	—
851	C₄×C₁₃	—	4	1	no	—
852	C₄×C₁₃	#563	1	4	yes	complemented
853	Dic₁₃	—	2	2	no	—
854	Dic₁₃	—	2	2	no	—
855	Dic₁₃	—	2	2	no	—
856	Dic₁₃	—	2	2	no	—
857	Dic₁₃	—	2	2	no	—
858	Dic₁₃	—	2	2	no	—
859	Dic₁₃	—	2	2	no	—
860	Dic₁₃	—	4	1	no	—
861	Dic₁₃	—	4	1	no	—
862	Dic₁₃	—	4	1	no	—
863	Dic₁₃	—	4	1	no	—
864	Dic₁₃	—	4	1	no	—
865	Dic₁₃	—	4	1	no	—
866	Dic₁₃	—	4	1	no	—
867	Dic₁₃	—	4	1	no	—
868	C₂²×Q₈	—	13	1	no	—
869	C₂²×Q₈	—	13	1	no	—
870	C₂²×Q₈	—	13	1	no	—
871	C₂²×D₄	—	13	1	no	—
872	C₂³×C₄	—	13	1	no	—
873	C₂³×C₄	—	13	1	no	—
874	C₂³×C₄	—	13	1	no	—
875	C₂³×C₄	—	13	1	no	—
876	C₂³×C₄	—	13	1	no	—
877	C₂³×C₄	C₂²×D₁₃	1	1	yes	characteristic
878	C₄⋊Q₈	—	13	8	no	—
879	C₄⋊Q₈	—	13	8	no	—
880	#126	—	13	8	no	—
881	#126	—	13	8	no	—
882	#126	—	13	8	no	—
883	#126	C₄×D₁₃	1	8	yes	complemented
884	#125	—	13	8	no	—
885	#125	—	13	8	no	—
886	#124	—	13	8	no	—
887	#123	—	13	8	no	—
888	#123	—	13	8	no	—
889	C₂²⋊Q₈	—	13	8	no	—
890	C₂²⋊Q₈	—	13	8	no	—
891	C₂²⋊Q₈	—	13	8	no	—
892	C₂²⋊Q₈	—	13	8	no	—
893	C₄×Q₈	—	52	2	no	—
894	C₄×Q₈	—	52	2	no	—
895	C₄×Q₈	—	52	2	no	—
896	C₄×D₄	—	52	2	no	—
897	C₂×C₄⋊C₄	—	13	1	no	—
898	C₂×C₄⋊C₄	—	13	1	no	—
899	C₂×C₄⋊C₄	—	13	1	no	—
900	C₂×C₄⋊C₄	—	13	1	no	—
901	C₂×C₄⋊C₄	—	13	1	no	—
902	C₂×C₄⋊C₄	—	13	1	no	—
903	C₂×C₄⋊C₄	—	13	1	no	—
904	C₂×C₄⋊C₄	—	13	1	no	—
905	C₂×C₄⋊C₄	—	13	1	no	—
906	C₂×C₄⋊C₄	—	13	1	no	—
907	C₂×C₄⋊C₄	—	13	1	no	—
908	C₂×C₄⋊C₄	—	13	1	no	—
909	C₂×C₄⋊C₄	—	13	1	no	—
910	C₂×C₄⋊C₄	—	13	1	no	—
911	C₂×C₄⋊C₄	—	13	1	no	—
912	C₂×C₄⋊C₄	—	13	1	no	—
913	C₂×C₄⋊C₄	—	13	1	no	—
914	C₂×C₄⋊C₄	—	13	1	no	—
915	C₂×C₄⋊C₄	—	13	1	no	—
916	C₂×C₄⋊C₄	—	13	1	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	C₂²×D₁₃	1	1	yes	characteristic
934	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
935	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
936	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
937	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
938	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
939	C₂×C₂²⋊C₄	—	13	1	no	—
940	C₂×C₂²⋊C₄	—	13	1	no	—
941	C₂×C₂²⋊C₄	—	13	1	no	—
942	C₂×C₂²⋊C₄	—	13	1	no	—
943	C₂×C₂²⋊C₄	—	13	1	no	—
944	C₂×C₂²⋊C₄	—	13	1	no	—
945	C₂×C₂²⋊C₄	—	13	1	no	—
946	C₂×C₂²⋊C₄	—	13	1	no	—
947	C₂×C₂²⋊C₄	—	13	1	no	—
948	C₂×C₂²⋊C₄	—	13	1	no	—
949	C₂×C₂²⋊C₄	—	13	1	no	—
950	C₂×C₂²⋊C₄	—	13	1	no	—
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	C₂²×D₁₃	1	1	yes	characteristic
956	C₂×C₂²⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
957	C₂×C₂²⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
958	C₂×C₂²⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
959	C₂×C₂²⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
960	C₂×C₂²⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
961	C₂×C₄²	—	13	1	no	—
962	C₂×C₄²	—	13	1	no	—
963	C₂×C₄²	—	13	1	no	—
964	C₂×C₄²	—	13	1	no	—
965	C₂×C₄²	—	13	1	no	—
966	C₂×C₄²	—	13	1	no	—
967	C₂×C₄²	—	13	1	no	—
968	C₂×C₄²	—	13	1	no	—
969	C₂×C₄²	—	13	1	no	—
970	C₂×C₄²	—	13	1	no	—
971	C₂×C₄²	—	13	1	no	—
972	C₂×C₄²	—	13	1	no	—
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	—	52	2	no	—
981	C₂×C₄²	—	52	2	no	—
982	C₂×C₄²	C₂²×D₁₃	1	1	yes	characteristic
983	C₂×C₄²	C₂²×D₁₃	1	1	yes	characteristic
984	C₂×C₄²	C₂²×D₁₃	1	1	yes	characteristic
985	C₂×C₄²	C₂²×D₁₃	1	1	yes	characteristic
986	C₂×C₄²	C₂²×D₁₃	1	1	yes	characteristic
987	C₂×C₄²	C₂²×D₁₃	1	1	yes	characteristic
988	C₂×C₄²	C₂²×D₁₃	1	1	yes	characteristic
989	C₂×C₄²	C₂²×D₁₃	1	1	yes	characteristic
990	C₂×C₄²	C₂²×D₁₃	1	1	yes	characteristic
991	C₂×C₄²	C₂²×D₁₃	1	1	yes	characteristic
992	#95	—	13	1	no	—
993	#95	—	13	1	no	—
994	#95	—	13	1	no	—
995	#95	—	13	1	no	—
996	#95	—	13	1	no	—
997	#95	—	13	1	no	—
998	#95	—	13	1	no	—
999	#95	—	13	1	no	—
1000	#95	—	13	1	no	—
1001	#95	—	13	1	no	—
1002	#95	—	13	1	no	—
1003	#95	—	13	1	no	—
1004	#95	—	13	1	no	—
1005	#95	—	13	1	no	—
1006	#95	—	13	1	no	—
1007	#95	—	13	1	no	—
1008	#95	—	13	1	no	—
1009	#95	—	13	1	no	—
1010	#95	—	13	1	no	—
1011	#95	—	13	1	no	—
1012	#95	—	13	1	no	—
1013	#95	—	13	1	no	—
1014	#95	—	13	1	no	—
1015	#95	—	13	1	no	—
1016	#95	—	13	1	no	—
1017	#95	—	13	1	no	—
1018	#95	—	13	1	no	—
1019	#95	—	13	1	no	—
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	C₂²×D₁₃	1	1	yes	characteristic
1033	#95	C₂²×D₁₃	1	1	yes	characteristic
1034	#95	C₂²×D₁₃	1	1	yes	characteristic
1035	#95	C₂²×D₁₃	1	1	yes	characteristic
1036	#95	C₂²×D₁₃	1	1	yes	characteristic
1037	#95	C₂²×D₁₃	1	1	yes	characteristic
1038	#95	C₂²×D₁₃	1	1	yes	characteristic
1039	#95	C₂²×D₁₃	1	1	yes	characteristic
1040	#95	C₂²×D₁₃	1	1	yes	characteristic
1041	#95	C₂²×D₁₃	1	1	yes	characteristic
1042	#95	C₂²×D₁₃	1	1	yes	characteristic
1043	#95	C₂²×D₁₃	1	1	yes	characteristic
1044	C₂×C₁₃	—	4	2	no	—
1045	C₂×C₁₃	C₄×H(5,𝔽₂)	1	1	yes	characteristic
1046	C₂×C₁₃	C₄×2₋¹⁺⁴	1	1	yes	characteristic
1047	C₂×C₁₃	C₄×2₋¹⁺⁴	1	1	yes	characteristic
1048	C₂×C₁₃	C₂×#563	1	1	yes	characteristic
1049	C₂×C₁₃	#3529	1	1	yes	characteristic
1050	C₂×C₁₃	#3531	1	1	yes	characteristic
1051	C₂×C₁₃	#3531	1	1	yes	characteristic
1052	D₁₃	—	4	2	no	—
1053	C₂⁴	—	13	1	no	—
1054	C₂⁴	C₂³×D₁₃	1	1	yes	characteristic
1055	C₂×Q₈	—	13	4	no	—
1056	C₂×Q₈	—	13	4	no	—
1057	C₂×Q₈	—	13	4	no	—
1058	C₂×Q₈	—	52	1	no	—
1059	C₂×Q₈	—	52	1	no	—
1060	C₂×Q₈	—	52	1	no	—
1061	C₂×Q₈	—	52	1	no	—
1062	C₂×Q₈	—	52	1	no	—
1063	C₂×Q₈	—	52	1	no	—
1064	C₂×D₄	—	13	4	no	—
1065	C₂×D₄	—	52	1	no	—
1066	C₂×D₄	—	52	1	no	—
1067	C₂²×C₄	—	2	2	no	—
1068	C₂²×C₄	—	2	2	no	—
1069	C₂²×C₄	—	2	2	no	—
1070	C₂²×C₄	—	13	1	no	—
1071	C₂²×C₄	—	13	1	no	—
1072	C₂²×C₄	—	13	1	no	—
1073	C₂²×C₄	—	13	1	no	—
1074	C₂²×C₄	—	13	1	no	—
1075	C₂²×C₄	—	13	1	no	—
1076	C₂²×C₄	—	13	1	no	—
1077	C₂²×C₄	—	13	4	no	—
1078	C₂²×C₄	—	13	4	no	—
1079	C₂²×C₄	—	13	1	no	—
1080	C₂²×C₄	—	13	1	no	—
1081	C₂²×C₄	—	13	1	no	—
1082	C₂²×C₄	—	13	1	no	—
1083	C₂²×C₄	—	13	1	no	—
1084	C₂²×C₄	—	13	1	no	—
1085	C₂²×C₄	—	13	1	no	—
1086	C₂²×C₄	—	13	1	no	—
1087	C₂²×C₄	—	26	2	no	—
1088	C₂²×C₄	—	26	2	no	—
1089	C₂²×C₄	—	26	2	no	—
1090	C₂²×C₄	—	52	1	no	—
1091	C₂²×C₄	—	52	1	no	—
1092	C₂²×C₄	—	52	1	no	—
1093	C₂²×C₄	—	52	1	no	—
1094	C₂²×C₄	—	52	1	no	—
1095	C₂²×C₄	—	52	1	no	—
1096	C₂²×C₄	—	52	1	no	—
1097	C₂²×C₄	—	52	1	no	—
1098	C₂²×C₄	—	52	1	no	—
1099	C₂²×C₄	—	52	1	no	—
1100	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1101	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1102	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1103	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1104	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1105	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1106	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1107	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1108	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1109	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1110	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1111	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1112	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1113	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1114	C₄⋊C₄	—	4	1	no	—
1115	C₄⋊C₄	—	4	1	no	—
1116	C₄⋊C₄	—	4	1	no	—
1117	C₄⋊C₄	—	13	4	no	—
1118	C₄⋊C₄	—	13	4	no	—
1119	C₄⋊C₄	—	13	4	no	—
1120	C₄⋊C₄	—	13	4	no	—
1121	C₄⋊C₄	—	13	4	no	—
1122	C₄⋊C₄	—	13	4	no	—
1123	C₄⋊C₄	—	13	4	no	—
1124	C₄⋊C₄	—	13	4	no	—
1125	C₄⋊C₄	—	13	4	no	—
1126	C₄⋊C₄	—	13	4	no	—
1127	C₄⋊C₄	—	13	4	no	—
1128	C₄⋊C₄	—	13	4	no	—
1129	C₄⋊C₄	—	13	4	no	—
1130	C₄⋊C₄	—	52	1	no	—
1131	C₄⋊C₄	—	52	1	no	—
1132	C₄⋊C₄	—	52	1	no	—
1133	C₄⋊C₄	—	52	1	no	—
1134	C₄⋊C₄	—	52	1	no	—
1135	C₄⋊C₄	—	52	1	no	—
1136	C₄⋊C₄	—	52	1	no	—
1137	C₄⋊C₄	—	52	1	no	—
1138	C₄⋊C₄	—	52	1	no	—
1139	C₄⋊C₄	—	52	1	no	—
1140	C₄⋊C₄	—	52	1	no	—
1141	C₄⋊C₄	—	52	1	no	—
1142	C₄⋊C₄	—	52	1	no	—
1143	C₄⋊C₄	—	52	1	no	—
1144	C₄⋊C₄	—	52	1	no	—
1145	C₄⋊C₄	—	52	1	no	—
1146	C₄⋊C₄	—	52	1	no	—
1147	C₄⋊C₄	—	52	1	no	—
1148	C₄⋊C₄	—	52	1	no	—
1149	C₄⋊C₄	—	52	1	no	—
1150	C₄⋊C₄	—	52	1	no	—
1151	C₄⋊C₄	—	52	1	no	—
1152	C₄⋊C₄	—	52	1	no	—
1153	C₄⋊C₄	C₂×C₄×D₁₃	1	4	yes	—
1154	C₄⋊C₄	C₂×C₄×D₁₃	1	4	yes	—
1155	C₄⋊C₄	C₂×C₄×D₁₃	1	4	yes	—
1156	C₂²⋊C₄	—	4	1	no	—
1157	C₂²⋊C₄	—	4	1	no	—
1158	C₂²⋊C₄	—	4	1	no	—
1159	C₂²⋊C₄	—	13	4	no	—
1160	C₂²⋊C₄	—	13	4	no	—
1161	C₂²⋊C₄	—	13	4	no	—
1162	C₂²⋊C₄	—	13	4	no	—
1163	C₂²⋊C₄	—	13	4	no	—
1164	C₂²⋊C₄	—	13	4	no	—
1165	C₂²⋊C₄	—	13	4	no	—
1166	C₂²⋊C₄	—	52	1	no	—
1167	C₂²⋊C₄	—	52	1	no	—
1168	C₂²⋊C₄	—	52	1	no	—
1169	C₂²⋊C₄	—	52	1	no	—
1170	C₂²⋊C₄	—	52	1	no	—
1171	C₂²⋊C₄	—	52	1	no	—
1172	C₂²⋊C₄	—	52	1	no	—
1173	C₂²⋊C₄	—	52	1	no	—
1174	C₂²⋊C₄	—	52	1	no	—
1175	C₂²⋊C₄	C₂×C₄×D₁₃	1	4	yes	—
1176	C₂²⋊C₄	C₂×C₄×D₁₃	1	4	yes	—
1177	C₂²⋊C₄	C₂×C₄×D₁₃	1	4	yes	—
1178	C₄²	—	2	2	no	—
1179	C₄²	—	2	2	no	—
1180	C₄²	—	2	2	no	—
1181	C₄²	—	2	2	no	—
1182	C₄²	—	2	2	no	—
1183	C₄²	—	2	2	no	—
1184	C₄²	—	4	1	no	—
1185	C₄²	—	4	1	no	—
1186	C₄²	—	4	1	no	—
1187	C₄²	—	13	4	no	—
1188	C₄²	—	13	4	no	—
1189	C₄²	—	26	2	no	—
1190	C₄²	—	26	2	no	—
1191	C₄²	—	26	2	no	—
1192	C₄²	—	26	2	no	—
1193	C₄²	—	26	2	no	—
1194	C₄²	—	26	2	no	—
1195	C₄²	—	26	2	no	—
1196	C₄²	—	52	1	no	—
1197	C₄²	—	52	1	no	—
1198	C₄²	—	52	1	no	—
1199	C₄²	—	52	1	no	—
1200	C₄²	—	52	1	no	—
1201	C₄²	—	52	1	no	—
1202	C₄²	—	52	1	no	—
1203	C₄²	—	52	1	no	—
1204	C₄²	—	52	1	no	—
1205	C₄²	—	52	1	no	—
1206	C₄²	C₂×C₄×D₁₃	1	4	yes	—
1207	C₁₃	C₄×#563	1	1	yes	characteristic, complemented, Sylow
1208	C₂³	—	2	1	no	—
1209	C₂³	—	2	1	no	—
1210	C₂³	—	2	1	no	—
1211	C₂³	—	2	1	no	—
1212	C₂³	—	2	1	no	—
1213	C₂³	—	2	1	no	—
1214	C₂³	—	13	2	no	—
1215	C₂³	—	26	1	no	—
1216	C₂³	—	26	1	no	—
1217	C₂³	—	26	1	no	—
1218	C₂³	—	26	1	no	—
1219	C₂³	—	26	1	no	—
1220	C₂³	—	26	1	no	—
1221	C₂³	C₂²×C₄×D₁₃	1	2	yes	—
1222	C₂³	C₂⁴×D₁₃	1	1	yes	characteristic
1223	Q₈	—	52	4	no	—
1224	Q₈	—	52	4	no	—
1225	Q₈	—	52	4	no	—
1226	D₄	—	52	4	no	—
1227	C₂×C₄	—	2	1	no	—
1228	C₂×C₄	—	2	1	no	—
1229	C₂×C₄	—	2	1	no	—
1230	C₂×C₄	—	2	1	no	—
1231	C₂×C₄	—	2	1	no	—
1232	C₂×C₄	—	2	1	no	—
1233	C₂×C₄	—	2	1	no	—
1234	C₂×C₄	—	2	1	no	—
1235	C₂×C₄	—	2	1	no	—
1236	C₂×C₄	—	2	1	no	—
1237	C₂×C₄	—	2	1	no	—
1238	C₂×C₄	—	2	1	no	—
1239	C₂×C₄	—	2	1	no	—
1240	C₂×C₄	—	2	1	no	—
1241	C₂×C₄	—	2	1	no	—
1242	C₂×C₄	—	2	1	no	—
1243	C₂×C₄	—	2	1	no	—
1244	C₂×C₄	—	2	1	no	—
1245	C₂×C₄	—	2	1	no	—
1246	C₂×C₄	—	2	1	no	—
1247	C₂×C₄	—	2	1	no	—
1248	C₂×C₄	—	2	1	no	—
1249	C₂×C₄	—	2	1	no	—
1250	C₂×C₄	—	2	1	no	—
1251	C₂×C₄	—	2	1	no	—
1252	C₂×C₄	—	2	1	no	—
1253	C₂×C₄	—	2	1	no	—
1254	C₂×C₄	—	2	1	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	—	4	4	no	—
1261	C₂×C₄	—	13	2	no	—
1262	C₂×C₄	—	13	2	no	—
1263	C₂×C₄	—	13	2	no	—
1264	C₂×C₄	—	13	2	no	—
1265	C₂×C₄	—	13	2	no	—
1266	C₂×C₄	—	13	2	no	—
1267	C₂×C₄	—	13	2	no	—
1268	C₂×C₄	—	26	1	no	—
1269	C₂×C₄	—	26	1	no	—
1270	C₂×C₄	—	26	1	no	—
1271	C₂×C₄	—	26	1	no	—
1272	C₂×C₄	—	26	1	no	—
1273	C₂×C₄	—	26	1	no	—
1274	C₂×C₄	—	26	1	no	—
1275	C₂×C₄	—	26	1	no	—
1276	C₂×C₄	—	26	1	no	—
1277	C₂×C₄	—	26	1	no	—
1278	C₂×C₄	—	26	1	no	—
1279	C₂×C₄	—	26	1	no	—
1280	C₂×C₄	—	26	1	no	—
1281	C₂×C₄	—	26	1	no	—
1282	C₂×C₄	—	26	1	no	—
1283	C₂×C₄	—	26	1	no	—
1284	C₂×C₄	—	26	1	no	—
1285	C₂×C₄	—	26	1	no	—
1286	C₂×C₄	—	26	1	no	—
1287	C₂×C₄	—	26	1	no	—
1288	C₂×C₄	—	26	1	no	—
1289	C₂×C₄	—	26	1	no	—
1290	C₂×C₄	—	26	1	no	—
1291	C₂×C₄	—	26	1	no	—
1292	C₂×C₄	—	26	1	no	—
1293	C₂×C₄	—	26	1	no	—
1294	C₂×C₄	—	26	1	no	—
1295	C₂×C₄	—	26	1	no	—
1296	C₂×C₄	—	26	1	no	—
1297	C₂×C₄	—	26	1	no	—
1298	C₂×C₄	—	26	1	no	—
1299	C₂×C₄	—	26	1	no	—
1300	C₂×C₄	—	26	1	no	—
1301	C₂×C₄	—	26	1	no	—
1302	C₂×C₄	—	26	1	no	—
1303	C₂×C₄	—	26	1	no	—
1304	C₂×C₄	—	26	1	no	—
1305	C₂×C₄	—	26	1	no	—
1306	C₂×C₄	—	52	4	no	—
1307	C₂×C₄	—	52	4	no	—
1308	C₂×C₄	—	52	4	no	—
1309	C₂×C₄	—	52	4	no	—
1310	C₂×C₄	—	52	4	no	—
1311	C₂×C₄	C₂²×C₄×D₁₃	1	2	yes	—
1312	C₂×C₄	C₂²×C₄×D₁₃	1	2	yes	—
1313	C₂×C₄	C₂²×C₄×D₁₃	1	2	yes	—
1314	C₂×C₄	C₂²×C₄×D₁₃	1	2	yes	—
1315	C₂×C₄	C₂²×C₄×D₁₃	1	2	yes	—
1316	C₂×C₄	C₂²×C₄×D₁₃	1	2	yes	—
1317	C₂×C₄	#88256	1	2	yes	—
1318	C₂×C₄	#88257	1	2	yes	—
1319	C₂×C₄	#88257	1	2	yes	—
1320	C₂²	—	2	2	no	—
1321	C₂²	—	2	2	no	—
1322	C₂²	—	2	2	no	—
1323	C₂²	—	4	1	no	—
1324	C₂²	—	4	1	no	—
1325	C₂²	—	4	1	no	—
1326	C₂²	—	4	1	no	—
1327	C₂²	—	26	2	no	—
1328	C₂²	—	26	2	no	—
1329	C₂²	—	26	2	no	—
1330	C₂²	—	52	1	no	—
1331	C₂²	—	52	1	no	—
1332	C₂²	—	52	1	no	—
1333	C₂²	—	52	1	no	—
1334	C₂²	C₂³×C₄×D₁₃	1	1	yes	characteristic
1335	C₂²	C₂×#88256	1	1	yes	characteristic
1336	C₂²	C₂×#88257	1	1	yes	characteristic
1337	C₂²	C₂×#88257	1	1	yes	characteristic
1338	C₂²	#11719648	1	1	yes	characteristic
1339	C₂²	#11719648	1	1	yes	characteristic
1340	C₂²	#11719648	1	1	yes	characteristic
1341	C₄	—	2	2	no	—
1342	C₄	—	2	2	no	—
1343	C₄	—	2	2	no	—
1344	C₄	—	2	2	no	—
1345	C₄	—	2	2	no	—
1346	C₄	—	2	2	no	—
1347	C₄	—	4	1	no	—
1348	C₄	—	4	1	no	—
1349	C₄	—	4	1	no	—
1350	C₄	—	4	1	no	—
1351	C₄	—	4	1	no	—
1352	C₄	—	4	1	no	—
1353	C₄	—	4	1	no	—
1354	C₄	—	26	2	no	—
1355	C₄	—	26	2	no	—
1356	C₄	—	26	2	no	—
1357	C₄	—	26	2	no	—
1358	C₄	—	26	2	no	—
1359	C₄	—	26	2	no	—
1360	C₄	—	26	2	no	—
1361	C₄	—	52	1	no	—
1362	C₄	—	52	1	no	—
1363	C₄	—	52	1	no	—
1364	C₄	—	52	1	no	—
1365	C₄	—	52	1	no	—
1366	C₄	—	52	1	no	—
1367	C₄	—	52	1	no	—
1368	C₄	—	52	1	no	—
1369	C₄	#11719417	1	4	yes	direct product factor
1370	C₂	—	4	2	no	—
1371	C₂	—	52	2	no	—
1372	C₂	C₄×#88256	1	1	yes	characteristic
1373	C₂	C₄×#88257	1	1	yes	characteristic
1374	C₂	C₄×#88257	1	1	yes	characteristic
1375	C₂	C₂×#11719417	1	1	yes	characteristic
1376	C₂	#13128975	1	1	yes	characteristic
1377	C₂	#13128981	1	1	yes	characteristic
1378	C₂	#13128981	1	1	yes	characteristic

	subgroup	G/H
center	C₂²×C₄	C₂³×D₁₃
commutator	C₂²×C₁₃	C₂⁴×C₄
Frattini	C₂³	C₂⁴×D₁₃
Fitting	C₄×C₁₃×#126	C₂
socle, cosocle	C₂³×C₁₃	C₂⁵
prime radical	C₂²×C₂²⋊D₁₃	C₂³
hypercenter	C₄×#126	D₁₃
hypocenter	C₁₃	C₄×#563
LCS	G ▷ C₂²×C₁₃ ▷ C₁₃
UCS	C₁ ◁ C₂²×C₄ ◁ C₄×#126

Complements

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

N	H ≅ G/N	type
2. #13118028	C₂	semidirect
3. #13118026	C₂	semidirect
4. #13118025	C₂	semidirect
5. #13118023	C₂	semidirect
6. #13118020	C₂	semidirect
7. #13118019	C₂	semidirect
8. #13118016	C₂	semidirect
9. #13118014	C₂	semidirect
11. #13118003	C₂	semidirect
12. #13118001	C₂	semidirect
13. #13118000	C₂	semidirect
14. #13117996	C₂	semidirect
17. C₄×#88123	C₂	semidirect
18. C₄×#88142	C₂	semidirect
19. C₄×#88144	C₂	semidirect
20. C₄×#88143	C₂	semidirect
21. C₄×#88152	C₂	semidirect
22. C₄×#88130	C₂	semidirect
23. C₄×#88133	C₂	semidirect
25. C₄×#88151	C₂	semidirect
26. C₄×#88150	C₂	semidirect
27. C₄×#88132	C₂	semidirect
28. C₄×#88132	C₂	semidirect
31. C₄×C₁₃×#126	C₂	semidirect
35. #11719417	C₄	direct (N × H)
198. C₁₃×#126	C₂×C₄	semidirect
294. #88152	C₂×C₄	semidirect
295. #88151	C₂×C₄	semidirect
296. #88150	C₂×C₄	semidirect
297. #88144	C₂×C₄	semidirect
298. #88143	C₂×C₄	semidirect
299. #88142	C₂×C₄	semidirect
303. #88133	C₂×C₄	semidirect
304. #88132	C₂×C₄	semidirect
305. #88132	C₂×C₄	semidirect
306. #88130	C₂×C₄	semidirect
308. #88123	C₂×C₄	semidirect
542. C₄×#126	D₁₃	semidirect
852. C₄×C₁₃	#563	semidirect
883. #126	C₄×D₁₃	semidirect
1207. C₁₃	C₄×#563	semidirect
1369. C₄	#11719417	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×#11719417	2
#13118028	2
#13118026	2
#13118025	2
#13118023	2
#13118020	2
#13118019	2
#13118016	2
#13118014	2
#13118005	2
#13118003	2
#13118001	2
#13118000	2
#13117996	2
#13117982	2
#13117978	2
C₄×#88123	2
C₄×#88142	2
C₄×#88144	2
C₄×#88143	2
C₄×#88152	2
C₄×#88130	2
C₄×#88133	2
C₄×#88139	2
C₄×#88151	2
C₄×#88150	2
C₄×#88132	2
C₄×#88140	2
C₄×#88137	2
C₄×C₁₃×#126	2
C₄×#563	13

Subgroups — C4×#11719417 #16025632

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₄×#11719417 #16025632