Subgroups — #16025950

Order 3328.

2318 conjugacy classes of subgroups.

The subgroup lattice has 1492 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×#11719354	C₂	1	1	yes	maximal, characteristic
2	#13118027	C₂	1	1	yes	maximal, characteristic, complemented
3	#13118026	C₂	1	1	yes	maximal, characteristic, complemented
4	#13118024	C₂	1	1	yes	maximal, characteristic, complemented
5	#13118023	C₂	1	1	yes	maximal, characteristic, complemented
6	#13117853	C₂	1	1	yes	maximal, characteristic
7	#13117847	C₂	1	1	yes	maximal, characteristic
8	#13117842	C₂	1	1	yes	maximal, characteristic, complemented
9	#13117836	C₂	1	1	yes	maximal, characteristic, complemented
10	#13117790	C₂	1	1	yes	maximal, characteristic, complemented
11	#13117782	C₂	1	1	yes	maximal, characteristic, complemented
12	#13117763	C₂	1	1	yes	maximal, characteristic, complemented
13	#13117759	C₂	1	1	yes	maximal, characteristic, complemented
14	#13117750	C₂	1	1	yes	maximal, characteristic, complemented
15	#13117734	C₂	1	1	yes	maximal, characteristic, complemented
16	#13117734	C₂	1	1	yes	maximal, characteristic, complemented
17	D₄×#6101	C₂	1	1	yes	maximal, characteristic, complemented
18	#13117574	C₂	1	1	yes	maximal, characteristic, complemented
19	#13117572	C₂	1	1	yes	maximal, characteristic, complemented
20	#13117545	C₂	1	1	yes	maximal, characteristic, complemented
21	#13117542	C₂	1	1	yes	maximal, characteristic, complemented
22	#13117508	C₂	1	1	yes	maximal, characteristic, complemented
23	#13117505	C₂	1	1	yes	maximal, characteristic, complemented
24	#13117502	C₂	1	1	yes	maximal, characteristic, complemented
25	#13117458	C₂	1	1	yes	maximal, characteristic, complemented
26	#13117455	C₂	1	1	yes	maximal, characteristic, complemented
27	#13117442	C₂	1	1	yes	maximal, characteristic, complemented
28	#13117440	C₂	1	1	yes	maximal, characteristic, complemented
29	C₂×#11718637	C₂	1	1	yes	maximal, characteristic, complemented
30	#13117227	C₂	1	1	yes	maximal, characteristic, complemented
31	C₁₃×#2322	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂×C₁₃×#123	C₂²	1	1	yes	characteristic
33	C₂×C₄×D₄×C₁₃	C₂²	1	1	yes	characteristic
34	C₂²×C₁₃×C₄⋊C₄	C₂²	1	1	yes	characteristic
35	C₂×#88193	C₂²	1	1	yes	characteristic
36	C₂×D₄×Dic₁₃	C₂²	1	1	yes	characteristic
37	C₂×D₄×Dic₁₃	C₂²	1	1	yes	characteristic
38	C₂×#88183	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	C₂²×C₄⋊Dic₁₃	C₂²	1	1	yes	characteristic
42	C₂²×#6101	C₂²	1	1	yes	characteristic
43	C₂²×#6101	C₂²	1	1	yes	characteristic
44	C₂²×#6101	C₂²	1	1	yes	characteristic
45	C₂²×#6101	C₂²	1	1	yes	characteristic
46	C₂²×#6101	C₂²	1	1	yes	characteristic
47	C₂²×C₄×Dic₁₃	C₂²	1	1	yes	characteristic
48	#11719354	C₄	1	16	yes	complemented
49	C₂×#88152	C₂²	1	1	yes	characteristic
50	C₂×#88146	C₂²	1	1	yes	characteristic
51	C₂×C₄⋊C₄×D₁₃	C₂²	1	1	yes	characteristic
52	C₂×#88143	C₂²	1	1	yes	characteristic
53	C₂×#88141	C₂²	1	1	yes	characteristic
54	C₂×#88141	C₂²	1	1	yes	characteristic
55	C₂×#88139	C₂²	1	1	yes	characteristic
56	C₂×#88135	C₂²	1	1	yes	characteristic
57	C₂×#88135	C₂²	1	1	yes	characteristic
58	C₂×#88135	C₂²	1	1	yes	characteristic
59	C₂×#88135	C₂²	1	1	yes	characteristic
60	C₂×#88133	C₂²	1	1	yes	characteristic
61	C₂×#88132	C₂²	1	1	yes	characteristic
62	C₂×#88131	C₂²	1	1	yes	characteristic
63	C₂×#88131	C₂²	1	1	yes	characteristic
64	C₂×#88126	C₂²	1	1	yes	characteristic
65	C₂×C₄×Dic₂₆	C₂²	1	1	yes	characteristic
66	C₁₃×#389	C₂²	1	1	yes	characteristic
67	C₁₃×#389	C₂²	1	1	yes	characteristic
68	C₁₃×#388	C₂²	1	1	yes	characteristic
69	C₁₃×#388	C₂²	1	1	yes	characteristic
70	C₁₃×#387	C₂²	1	1	yes	characteristic
71	C₁₃×#387	C₂²	1	1	yes	characteristic
72	C₁₃×#386	C₂²	1	1	yes	characteristic
73	C₁₃×#385	C₂²	1	1	yes	characteristic
74	C₁₃×#385	C₂²	1	1	yes	characteristic
75	C₁₃×#385	C₂²	1	1	yes	characteristic
76	C₁₃×#381	C₂²	1	1	yes	characteristic
77	C₄×C₁₃×C₂²⋊C₄	C₂²	1	1	yes	characteristic
78	#11718881	C₂²	1	1	yes	characteristic
79	#11718874	C₂²	1	1	yes	characteristic
80	#11718872	C₂²	1	1	yes	characteristic
81	#11718871	C₂²	1	1	yes	characteristic
82	#11718871	C₂²	1	1	yes	characteristic
83	#11718871	C₂²	1	1	yes	characteristic
84	C₄×C₂²⋊Dic₁₃	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	#11718650	C₂²	1	1	yes	characteristic
91	#11718646	C₂²	1	1	yes	characteristic
92	#11718646	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	#11718639	C₂²	1	1	yes	characteristic
97	#11718637	C₂²	1	1	yes	characteristic
98	#11718637	C₂²	1	1	yes	characteristic
99	#11718637	C₂²	1	1	yes	characteristic
100	#11718637	C₂²	1	1	yes	characteristic
101	#11718637	C₂²	1	1	yes	characteristic
102	#11718637	C₂²	1	1	yes	characteristic
103	#11718637	C₂²	1	1	yes	characteristic
104	#11718637	C₂²	1	1	yes	characteristic
105	#11718637	C₂²	1	1	yes	characteristic
106	#11718637	C₂²	1	1	yes	characteristic
107	#11718634	C₂²	1	1	yes	characteristic
108	#11718634	C₂²	1	1	yes	characteristic
109	#11718633	C₂²	1	1	yes	characteristic
110	#11718633	C₂²	1	1	yes	characteristic
111	#11718633	C₂²	1	1	yes	characteristic
112	#11718633	C₂²	1	1	yes	characteristic
113	#11718633	C₂²	1	1	yes	characteristic
114	#11718633	C₂²	1	1	yes	characteristic
115	#11718619	C₂²	1	1	yes	characteristic
116	#11718618	C₂²	1	1	yes	characteristic
117	#11718618	C₂²	1	1	yes	characteristic
118	#11718612	C₂²	1	1	yes	characteristic
119	#11718612	C₂²	1	1	yes	characteristic
120	#11718611	C₂²	1	1	yes	characteristic
121	#11718611	C₂²	1	1	yes	characteristic
122	#11718611	C₂²	1	1	yes	characteristic
123	#11718607	C₂²	1	1	yes	characteristic
124	#11718607	C₂²	1	1	yes	characteristic
125	#11718607	C₂²	1	1	yes	characteristic
126	#11718606	C₂²	1	1	yes	characteristic
127	#11718606	C₂²	1	1	yes	characteristic
128	#11718605	C₂²	1	1	yes	characteristic
129	#11718605	C₂²	1	1	yes	characteristic
130	#11718603	C₂²	1	1	yes	characteristic
131	#11718603	C₂²	1	1	yes	characteristic
132	#11718603	C₂²	1	1	yes	characteristic
133	#11718603	C₂²	1	1	yes	characteristic
134	C₂²⋊C₄×Dic₁₃	C₂²	1	1	yes	characteristic
135	C₂²⋊C₄×Dic₁₃	C₂²	1	1	yes	characteristic
136	C₂²⋊C₄×Dic₁₃	C₂²	1	1	yes	characteristic
137	C₂²⋊C₄×Dic₁₃	C₂²	1	1	yes	characteristic
138	#11718601	C₂²	1	1	yes	characteristic
139	#11718601	C₂²	1	1	yes	characteristic
140	#11718594	C₂²	1	1	yes	characteristic
141	#11718594	C₂²	1	1	yes	characteristic
142	C₄×#6101	C₂²	1	1	yes	characteristic
143	C₄×#6101	C₂²	1	1	yes	characteristic
144	C₄×#6101	C₂²	1	1	yes	characteristic
145	C₄×#6101	C₂²	1	1	yes	characteristic
146	#11718589	C₂²	1	1	yes	characteristic
147	#11718589	C₂²	1	1	yes	characteristic
148	#11718331	C₂²	1	1	yes	characteristic
149	#11718331	C₂²	1	1	yes	characteristic
150	#11718330	C₂²	1	1	yes	characteristic
151	#11718330	C₂²	1	1	yes	characteristic
152	#11718329	C₂²	1	1	yes	characteristic
153	#11718329	C₂²	1	1	yes	characteristic
154	#11718329	C₂²	1	1	yes	characteristic
155	#11718329	C₂²	1	1	yes	characteristic
156	#11718328	C₂²	1	1	yes	characteristic
157	#11718328	C₂²	1	1	yes	characteristic
158	#11718316	C₂²	1	1	yes	characteristic
159	#11718316	C₂²	1	1	yes	characteristic
160	#11718315	C₂²	1	1	yes	characteristic
161	#11718315	C₂²	1	1	yes	characteristic
162	#11718314	C₂²	1	1	yes	characteristic
163	#11718314	C₂²	1	1	yes	characteristic
164	#11718313	C₂²	1	1	yes	characteristic
165	#11718313	C₂²	1	1	yes	characteristic
166	#11718312	C₂²	1	1	yes	characteristic
167	#11718312	C₂²	1	1	yes	characteristic
168	#11718311	C₂²	1	1	yes	characteristic
169	#11718311	C₂²	1	1	yes	characteristic
170	#11718311	C₂²	1	1	yes	characteristic
171	#11718311	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	#11718309	C₂²	1	1	yes	characteristic
179	#11718309	C₂²	1	1	yes	characteristic
180	#11718308	C₂²	1	1	yes	characteristic
181	#11718308	C₂²	1	1	yes	characteristic
182	#11718308	C₂²	1	1	yes	characteristic
183	#11718308	C₂²	1	1	yes	characteristic
184	#11718308	C₂²	1	1	yes	characteristic
185	#11718308	C₂²	1	1	yes	characteristic
186	#11718307	C₂²	1	1	yes	characteristic
187	#11718307	C₂²	1	1	yes	characteristic
188	C₂²×D₄×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	C₂³×C₄×C₁₃	C₂³	1	1	yes	characteristic
193	C₂²×C₂²⋊D₁₃	C₂³	1	1	yes	characteristic
194	C₂²×C₂²⋊D₁₃	C₂³	1	1	yes	characteristic
195	C₂³×Dic₁₃	C₂³	1	1	yes	characteristic
196	C₂³×Dic₁₃	C₂³	1	1	yes	characteristic
197	C₂³×Dic₁₃	C₂³	1	1	yes	characteristic
198	C₂³×Dic₁₃	C₂³	1	1	yes	characteristic
199	C₂³×Dic₁₃	C₂³	1	1	yes	characteristic
200	C₂³×Dic₁₃	C₂³	1	1	yes	characteristic
201	C₂²×C₄×D₁₃	C₂³	1	1	yes	characteristic
202	C₂²×C₄×D₁₃	C₂³	1	1	yes	characteristic
203	C₂²×C₄×D₁₃	C₂³	1	1	yes	characteristic
204	C₂²×Dic₂₆	C₂³	1	1	yes	characteristic
205	C₁₃×#123	C₂×C₄	1	8	yes	complemented
206	C₄×D₄×C₁₃	—	4	2	no	—
207	C₂×C₁₃×C₄⋊C₄	—	4	2	no	—
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×C₄⋊C₄	C₂³	1	1	yes	characteristic
215	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
216	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
217	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
218	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
219	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
220	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
221	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
222	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
223	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
224	C₂×C₁₃×C₂²⋊C₄	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×C₄²×C₁₃	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	C₂×C₂²⋊Dic₁₃	C₂³	1	1	yes	characteristic
234	C₂×C₂²⋊Dic₁₃	C₂³	1	1	yes	characteristic
235	C₂×C₂²⋊Dic₁₃	C₂³	1	1	yes	characteristic
236	#88193	C₂×C₄	1	8	yes	—
237	D₄×Dic₁₃	—	4	2	no	—
238	D₄×Dic₁₃	C₂×C₄	1	8	yes	complemented
239	#88183	C₂×C₄	1	8	yes	complemented
240	C₄×C₂²⋊D₁₃	—	4	2	no	—
241	C₄×C₂²⋊D₁₃	—	4	2	no	—
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×C₄⋊Dic₁₃	—	4	2	no	—
253	C₂×C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic
254	C₂×C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic
255	C₂×C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic
256	C₂×C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic
257	C₂×C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic
258	C₂×C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic
259	C₂×C₄⋊Dic₁₃	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×#6101	—	4	2	no	—
263	C₂×#6101	—	4	2	no	—
264	C₂×#6101	—	4	2	no	—
265	C₂×#6101	—	4	2	no	—
266	C₂×#6101	—	4	2	no	—
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×#6101	C₂³	1	1	yes	characteristic
284	C₂×#6101	C₂³	1	1	yes	characteristic
285	C₂×#6101	C₂³	1	1	yes	characteristic
286	C₂×#6101	C₂³	1	1	yes	characteristic
287	C₂×#6101	C₂³	1	1	yes	characteristic
288	C₂×#6101	C₂³	1	1	yes	characteristic
289	C₂×#6101	C₂³	1	1	yes	characteristic
290	C₂×#6101	C₂³	1	1	yes	characteristic
291	C₂×#6101	C₂³	1	1	yes	characteristic
292	C₂×#6101	C₂³	1	1	yes	characteristic
293	C₂×#6101	C₂³	1	1	yes	characteristic
294	C₂×#6101	C₂³	1	1	yes	characteristic
295	C₂×#6101	C₂³	1	1	yes	characteristic
296	C₂×#6101	C₂³	1	1	yes	characteristic
297	C₂×#6101	C₂³	1	1	yes	characteristic
298	C₂×#6101	C₂³	1	1	yes	characteristic
299	C₂×C₄×Dic₁₃	C₂×C₄	1	8	yes	complemented
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	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
310	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
311	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
312	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
313	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
314	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
315	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
316	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
317	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
318	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
319	#88152	C₂×C₄	1	8	yes	complemented
320	#88146	C₂×C₄	1	8	yes	complemented
321	C₄⋊C₄×D₁₃	—	4	2	no	—
322	#88143	C₂×C₄	1	8	yes	complemented
323	#88141	—	4	2	no	—
324	#88141	C₂×C₄	1	8	yes	complemented
325	#88139	C₂×C₄	1	8	yes	complemented
326	#88135	—	4	2	no	—
327	#88135	—	4	2	no	—
328	#88135	C₂×C₄	1	8	yes	complemented
329	#88135	C₂×C₄	1	8	yes	complemented
330	#88133	C₂×C₄	1	8	yes	complemented
331	#88132	C₂×C₄	1	8	yes	complemented
332	#88131	—	4	2	no	—
333	#88131	C₂×C₄	1	8	yes	complemented
334	#88126	—	4	2	no	—
335	C₄×Dic₂₆	—	4	2	no	—
336	C₁₃×#95	C₂³	1	1	yes	characteristic
337	C₁₃×#95	C₂³	1	1	yes	characteristic
338	C₁₃×#95	C₂³	1	1	yes	characteristic
339	C₁₃×#95	C₂³	1	1	yes	characteristic
340	C₁₃×#95	C₂³	1	1	yes	characteristic
341	C₁₃×#95	C₂³	1	1	yes	characteristic
342	C₁₃×#95	C₂³	1	1	yes	characteristic
343	C₁₃×#95	C₂³	1	1	yes	characteristic
344	C₁₃×#95	C₂³	1	1	yes	characteristic
345	C₁₃×#95	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	#88071	C₂³	1	1	yes	characteristic
371	#88071	C₂³	1	1	yes	characteristic
372	#88071	C₂³	1	1	yes	characteristic
373	#88071	C₂³	1	1	yes	characteristic
374	#88071	C₂³	1	1	yes	characteristic
375	#88071	C₂³	1	1	yes	characteristic
376	#34384	—	13	1	no	maximal, Sylow
377	C₂⁴×C₁₃	C₂⁴	1	1	yes	characteristic
378	C₂⁴×C₁₃	C₂⁴	1	1	yes	characteristic
379	C₂³×D₁₃	C₂⁴	1	1	yes	characteristic
380	C₂×D₄×C₁₃	—	2	2	no	—
381	C₂×D₄×C₁₃	—	2	2	no	—
382	C₂×D₄×C₁₃	C₂²×C₄	1	4	yes	—
383	C₂²×C₄×C₁₃	—	2	2	no	—
384	C₂²×C₄×C₁₃	—	2	2	no	—
385	C₂²×C₄×C₁₃	—	2	2	no	—
386	C₂²×C₄×C₁₃	—	2	2	no	—
387	C₂²×C₄×C₁₃	—	4	1	no	—
388	C₂²×C₄×C₁₃	—	4	1	no	—
389	C₂²×C₄×C₁₃	—	4	1	no	—
390	C₂²×C₄×C₁₃	—	4	1	no	—
391	C₂²×C₄×C₁₃	—	4	1	no	—
392	C₂²×C₄×C₁₃	—	4	1	no	—
393	C₂²×C₄×C₁₃	—	4	1	no	—
394	C₂²×C₄×C₁₃	C₂²×C₄	1	4	yes	—
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	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
401	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
402	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
403	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
404	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
405	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
406	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
407	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
408	C₂×C₂²⋊D₁₃	—	2	2	no	—
409	C₂×C₂²⋊D₁₃	—	2	2	no	—
410	C₂×C₂²⋊D₁₃	—	2	2	no	—
411	C₂×C₂²⋊D₁₃	—	2	2	no	—
412	C₂×C₂²⋊D₁₃	C₂²×C₄	1	4	yes	—
413	C₂×C₂²⋊D₁₃	C₂²×C₄	1	4	yes	—
414	C₂²×Dic₁₃	—	2	2	no	—
415	C₂²×Dic₁₃	—	2	2	no	—
416	C₂²×Dic₁₃	—	2	2	no	—
417	C₂²×Dic₁₃	—	2	2	no	—
418	C₂²×Dic₁₃	—	2	2	no	—
419	C₂²×Dic₁₃	—	2	2	no	—
420	C₂²×Dic₁₃	—	2	2	no	—
421	C₂²×Dic₁₃	—	2	2	no	—
422	C₂²×Dic₁₃	—	4	1	no	—
423	C₂²×Dic₁₃	—	4	1	no	—
424	C₂²×Dic₁₃	—	4	1	no	—
425	C₂²×Dic₁₃	—	4	1	no	—
426	C₂²×Dic₁₃	—	4	1	no	—
427	C₂²×Dic₁₃	—	4	1	no	—
428	C₂²×Dic₁₃	—	4	1	no	—
429	C₂²×Dic₁₃	C₂²×C₄	1	4	yes	—
430	C₂²×Dic₁₃	C₂²×C₄	1	4	yes	—
431	C₂²×Dic₁₃	C₂²×C₄	1	4	yes	—
432	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
433	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
434	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
435	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
436	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
437	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
438	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
439	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
440	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
441	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
442	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
443	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
444	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
445	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
446	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
447	C₂×C₄×D₁₃	—	2	2	no	—
448	C₂×C₄×D₁₃	—	2	2	no	—
449	C₂×C₄×D₁₃	—	4	1	no	—
450	C₂×C₄×D₁₃	—	4	1	no	—
451	C₂×C₄×D₁₃	—	4	1	no	—
452	C₂×C₄×D₁₃	—	4	1	no	—
453	C₂×C₄×D₁₃	—	4	1	no	—
454	C₂×C₄×D₁₃	—	4	1	no	—
455	C₂×C₄×D₁₃	C₂²×C₄	1	4	yes	—
456	C₂×Dic₂₆	—	2	2	no	—
457	C₂×Dic₂₆	—	2	2	no	—
458	C₂×Dic₂₆	C₂²×C₄	1	4	yes	—
459	C₁₃×C₄⋊C₄	—	4	1	no	—
460	C₁₃×C₄⋊C₄	—	4	1	no	—
461	C₁₃×C₄⋊C₄	—	4	1	no	—
462	C₁₃×C₄⋊C₄	—	4	1	no	—
463	C₁₃×C₄⋊C₄	—	4	1	no	—
464	C₁₃×C₄⋊C₄	—	4	1	no	—
465	C₁₃×C₄⋊C₄	—	4	1	no	—
466	C₁₃×C₄⋊C₄	C₂²×C₄	1	4	yes	—
467	C₁₃×C₄⋊C₄	C₂²×C₄	1	4	yes	—
468	C₁₃×C₂²⋊C₄	—	2	2	no	—
469	C₁₃×C₂²⋊C₄	—	2	2	no	—
470	C₁₃×C₂²⋊C₄	—	4	1	no	—
471	C₁₃×C₂²⋊C₄	—	4	1	no	—
472	C₁₃×C₂²⋊C₄	—	4	1	no	—
473	C₁₃×C₂²⋊C₄	C₂²×C₄	1	4	yes	—
474	C₁₃×C₂²⋊C₄	C₂²×C₄	1	4	yes	—
475	C₁₃×C₂²⋊C₄	C₂²×C₄	1	4	yes	—
476	C₄²×C₁₃	—	4	1	no	—
477	C₄²×C₁₃	—	4	1	no	—
478	C₄²×C₁₃	—	4	1	no	—
479	C₂²⋊Dic₁₃	—	2	2	no	—
480	C₂²⋊Dic₁₃	—	2	2	no	—
481	C₂²⋊Dic₁₃	—	4	1	no	—
482	C₂²⋊Dic₁₃	—	4	1	no	—
483	C₂²⋊Dic₁₃	—	4	1	no	—
484	C₂²⋊Dic₁₃	C₂²×C₄	1	4	yes	—
485	C₂²⋊Dic₁₃	C₂²×C₄	1	4	yes	—
486	C₂²⋊Dic₁₃	C₂²×C₄	1	4	yes	—
487	#6103	—	4	1	no	—
488	#6103	—	4	1	no	—
489	#6103	—	4	1	no	—
490	#6103	—	4	1	no	—
491	#6103	—	4	1	no	—
492	#6103	—	4	1	no	—
493	#6103	C₂²×C₄	1	4	yes	—
494	#6103	C₂²×C₄	1	4	yes	—
495	#6103	C₂²×C₄	1	4	yes	—
496	#6103	C₂²×C₄	1	4	yes	—
497	C₄⋊Dic₁₃	—	4	1	no	—
498	C₄⋊Dic₁₃	—	4	1	no	—
499	C₄⋊Dic₁₃	—	4	1	no	—
500	C₄⋊Dic₁₃	—	4	1	no	—
501	C₄⋊Dic₁₃	—	4	1	no	—
502	C₄⋊Dic₁₃	—	4	1	no	—
503	C₄⋊Dic₁₃	—	4	1	no	—
504	C₄⋊Dic₁₃	C₂²×C₄	1	4	yes	—
505	C₄⋊Dic₁₃	C₂²×C₄	1	4	yes	—
506	#6101	—	2	2	no	—
507	#6101	—	2	2	no	—
508	#6101	—	2	2	no	—
509	#6101	—	2	2	no	—
510	#6101	—	2	2	no	—
511	#6101	—	2	2	no	—
512	#6101	—	2	2	no	—
513	#6101	—	2	2	no	—
514	#6101	—	2	2	no	—
515	#6101	—	2	2	no	—
516	#6101	—	2	2	no	—
517	#6101	—	2	2	no	—
518	#6101	—	4	1	no	—
519	#6101	—	4	1	no	—
520	#6101	—	4	1	no	—
521	#6101	—	4	1	no	—
522	#6101	—	4	1	no	—
523	#6101	—	4	1	no	—
524	#6101	—	4	1	no	—
525	#6101	—	4	1	no	—
526	#6101	—	4	1	no	—
527	#6101	—	4	1	no	—
528	#6101	—	4	1	no	—
529	#6101	—	4	1	no	—
530	#6101	—	4	1	no	—
531	#6101	—	4	1	no	—
532	#6101	C₂²×C₄	1	4	yes	—
533	#6101	C₂²×C₄	1	4	yes	—
534	#6101	C₂²×C₄	1	4	yes	—
535	#6101	C₂²×C₄	1	4	yes	—
536	#6101	C₂²×C₄	1	4	yes	—
537	#6101	C₂²×C₄	1	4	yes	—
538	C₄×Dic₁₃	—	2	2	no	—
539	C₄×Dic₁₃	—	2	2	no	—
540	C₄×Dic₁₃	—	2	2	no	—
541	C₄×Dic₁₃	—	2	2	no	—
542	C₄×Dic₁₃	—	4	1	no	—
543	C₄×Dic₁₃	—	4	1	no	—
544	C₄×Dic₁₃	—	4	1	no	—
545	C₄×Dic₁₃	—	4	1	no	—
546	C₄×Dic₁₃	—	4	1	no	—
547	C₄×Dic₁₃	—	4	1	no	—
548	C₄×Dic₁₃	—	4	1	no	—
549	C₄×Dic₁₃	—	4	1	no	—
550	C₄×Dic₁₃	—	4	1	no	—
551	C₄×Dic₁₃	C₂²×C₄	1	4	yes	—
552	C₄×Dic₁₃	C₂²×C₄	1	4	yes	—
553	C₄×Dic₁₃	C₂²×C₄	1	4	yes	—
554	C₄×Dic₁₃	C₂²×C₄	1	4	yes	—
555	C₄×Dic₁₃	C₂²×C₄	1	4	yes	—
556	C₄×Dic₁₃	C₂²×C₄	1	4	yes	—
557	C₂×#529	—	13	1	no	—
558	#2383	—	13	1	no	—
559	#2383	—	13	1	no	—
560	#2383	—	13	1	no	—
561	#2383	—	13	1	no	—
562	#2361	—	13	1	no	—
563	#2361	—	13	1	no	—
564	#2360	—	13	1	no	—
565	#2360	—	13	1	no	—
566	#2355	—	13	1	no	—
567	#2354	—	13	1	no	—
568	#2352	—	13	1	no	—
569	#2352	—	13	1	no	—
570	Q₈×C₄⋊C₄	—	13	1	no	—
571	D₄×C₄⋊C₄	—	13	1	no	—
572	D₄×C₄⋊C₄	—	13	1	no	—
573	D₄×C₄⋊C₄	—	13	1	no	—
574	#2330	—	13	1	no	—
575	#2330	—	13	1	no	—
576	#2326	—	13	1	no	—
577	#2326	—	13	1	no	—
578	#2322	—	13	1	no	—
579	#2322	—	13	1	no	—
580	#2322	—	13	1	no	—
581	#2322	D₁₃	1	1	yes	characteristic, complemented
582	#2317	—	13	1	no	—
583	#2317	—	13	1	no	—
584	#2314	—	13	1	no	—
585	#2314	—	13	1	no	—
586	C₂×#384	—	13	1	no	—
587	#2283	—	13	1	no	—
588	C₂³×C₁₃	—	2	1	no	—
589	C₂³×C₁₃	—	2	1	no	—
590	C₂³×C₁₃	—	2	1	no	—
591	C₂³×C₁₃	—	2	1	no	—
592	C₂³×C₁₃	—	2	1	no	—
593	C₂³×C₁₃	—	2	1	no	—
594	C₂³×C₁₃	—	2	1	no	—
595	C₂³×C₁₃	—	2	1	no	—
596	C₂³×C₁₃	—	2	1	no	—
597	C₂³×C₁₃	—	2	1	no	—
598	C₂³×C₁₃	C₂³×C₄	1	2	yes	—
599	C₂³×C₁₃	C₂³×C₄	1	2	yes	—
600	C₂³×C₁₃	H(5,𝔽₂)	1	2	yes	—
601	C₂³×C₁₃	2₋¹⁺⁴	1	2	yes	—
602	C₂³×C₁₃	C₂⁵	1	1	yes	characteristic
603	C₂²×D₁₃	—	2	1	no	—
604	C₂²×D₁₃	—	2	1	no	—
605	C₂²×D₁₃	—	2	1	no	—
606	C₂²×D₁₃	—	2	1	no	—
607	C₂²×D₁₃	—	2	1	no	—
608	C₂²×D₁₃	—	2	1	no	—
609	C₂²×D₁₃	C₂³×C₄	1	2	yes	—
610	D₄×C₁₃	—	2	8	no	—
611	C₂×C₄×C₁₃	—	2	8	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	—	2	1	no	—
630	C₂×C₄×C₁₃	—	2	1	no	—
631	C₂×C₄×C₁₃	—	2	1	no	—
632	C₂×C₄×C₁₃	—	2	1	no	—
633	C₂×C₄×C₁₃	—	2	1	no	—
634	C₂×C₄×C₁₃	—	2	1	no	—
635	C₂×C₄×C₁₃	—	2	1	no	—
636	C₂×C₄×C₁₃	—	2	1	no	—
637	C₂×C₄×C₁₃	—	2	1	no	—
638	C₂×C₄×C₁₃	—	2	1	no	—
639	C₂×C₄×C₁₃	—	2	1	no	—
640	C₂×C₄×C₁₃	—	2	1	no	—
641	C₂×C₄×C₁₃	—	2	1	no	—
642	C₂×C₄×C₁₃	—	2	1	no	—
643	C₂×C₄×C₁₃	—	2	1	no	—
644	C₂×C₄×C₁₃	—	2	1	no	—
645	C₂×C₄×C₁₃	—	2	1	no	—
646	C₂×C₄×C₁₃	—	8	2	no	—
647	C₂×C₄×C₁₃	—	8	2	no	—
648	C₂×C₄×C₁₃	—	8	2	no	—
649	C₂×C₄×C₁₃	C₂³×C₄	1	2	yes	—
650	C₂×C₄×C₁₃	C₂³×C₄	1	2	yes	—
651	C₂×C₄×C₁₃	C₂³×C₄	1	2	yes	—
652	C₂×C₄×C₁₃	C₂³×C₄	1	2	yes	—
653	C₂×C₄×C₁₃	C₂³×C₄	1	2	yes	—
654	C₂²⋊D₁₃	—	2	8	no	—
655	C₂²⋊D₁₃	—	2	8	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	8	no	—
667	C₂×Dic₁₃	—	2	8	no	—
668	C₂×Dic₁₃	—	2	8	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	—	2	1	no	—
677	C₂×Dic₁₃	—	2	1	no	—
678	C₂×Dic₁₃	—	2	1	no	—
679	C₂×Dic₁₃	—	2	1	no	—
680	C₂×Dic₁₃	—	2	1	no	—
681	C₂×Dic₁₃	—	2	1	no	—
682	C₂×Dic₁₃	—	2	1	no	—
683	C₂×Dic₁₃	—	2	1	no	—
684	C₂×Dic₁₃	—	2	1	no	—
685	C₂×Dic₁₃	—	2	1	no	—
686	C₂×Dic₁₃	—	2	1	no	—
687	C₂×Dic₁₃	—	2	1	no	—
688	C₂×Dic₁₃	—	2	1	no	—
689	C₂×Dic₁₃	—	2	1	no	—
690	C₂×Dic₁₃	—	2	1	no	—
691	C₂×Dic₁₃	—	2	1	no	—
692	C₂×Dic₁₃	—	2	1	no	—
693	C₂×Dic₁₃	—	8	2	no	—
694	C₂×Dic₁₃	—	8	2	no	—
695	C₂×Dic₁₃	—	8	2	no	—
696	C₂×Dic₁₃	C₂³×C₄	1	2	yes	—
697	C₂×Dic₁₃	C₂³×C₄	1	2	yes	—
698	C₂×Dic₁₃	C₂³×C₄	1	2	yes	—
699	C₂×Dic₁₃	C₂³×C₄	1	2	yes	—
700	C₂×Dic₁₃	C₂³×C₄	1	2	yes	—
701	C₂×Dic₁₃	C₂³×C₄	1	2	yes	—
702	C₂×Dic₁₃	C₂³×C₄	1	2	yes	—
703	C₂×Dic₁₃	H(5,𝔽₂)	1	2	yes	—
704	C₂×Dic₁₃	H(5,𝔽₂)	1	2	yes	—
705	C₂×Dic₁₃	2₋¹⁺⁴	1	2	yes	—
706	C₂×Dic₁₃	2₋¹⁺⁴	1	2	yes	—
707	C₄×D₁₃	—	2	8	no	—
708	C₄×D₁₃	—	8	2	no	—
709	C₄×D₁₃	—	8	2	no	—
710	Dic₂₆	—	2	8	no	—
711	#529	—	13	16	no	—
712	C₂×#126	—	13	1	no	—
713	C₂×#126	—	13	1	no	—
714	C₂×#125	—	13	1	no	—
715	C₂×#124	—	13	1	no	—
716	C₂×#123	—	13	1	no	—
717	C₂×#123	C₂×D₁₃	1	1	yes	characteristic
718	C₂×C₂²⋊Q₈	—	13	1	no	—
719	C₂×#121	—	13	1	no	—
720	C₂×C₄×Q₈	—	13	1	no	—
721	C₂×C₄×Q₈	—	13	1	no	—
722	C₂×C₄×Q₈	—	13	1	no	—
723	C₂×C₄×D₄	—	13	1	no	—
724	C₂×C₄×D₄	—	13	1	no	—
725	C₂×C₄×D₄	—	13	1	no	—
726	C₂×C₄×D₄	—	13	1	no	—
727	C₂×C₄×D₄	—	13	1	no	—
728	C₂×C₄×D₄	—	13	1	no	—
729	C₂×C₄×D₄	—	13	1	no	—
730	C₂×C₄×D₄	—	13	1	no	—
731	C₂×C₄×D₄	C₂×D₁₃	1	1	yes	characteristic
732	C₂×#117	—	13	1	no	—
733	C₂×#117	—	13	1	no	—
734	C₂×#117	—	13	1	no	—
735	C₂×#117	—	13	1	no	—
736	C₂²×C₄⋊C₄	—	13	1	no	—
737	C₂²×C₄⋊C₄	—	13	1	no	—
738	C₂²×C₄⋊C₄	—	13	1	no	—
739	C₂²×C₄⋊C₄	—	13	1	no	—
740	C₂²×C₄⋊C₄	—	13	1	no	—
741	C₂²×C₄⋊C₄	—	13	1	no	—
742	C₂²×C₄⋊C₄	—	13	1	no	—
743	C₂²×C₄⋊C₄	C₂×D₁₃	1	1	yes	characteristic
744	C₂²×C₄²	—	13	1	no	—
745	#391	—	13	1	no	—
746	#391	—	13	1	no	—
747	#390	—	13	1	no	—
748	#390	—	13	1	no	—
749	#389	—	13	1	no	—
750	#389	—	13	1	no	—
751	#389	—	13	1	no	—
752	#389	—	13	1	no	—
753	#389	—	13	1	no	—
754	#389	—	13	1	no	—
755	#389	—	13	1	no	—
756	#389	—	13	1	no	—
757	#389	—	13	1	no	—
758	#389	—	13	1	no	—
759	#389	—	13	1	no	—
760	#389	—	13	1	no	—
761	#389	—	13	1	no	—
762	#389	—	13	1	no	—
763	#389	—	13	1	no	—
764	#389	—	13	1	no	—
765	#389	—	13	1	no	—
766	#389	—	13	1	no	—
767	#389	C₂×D₁₃	1	1	yes	characteristic
768	#389	C₂×D₁₃	1	1	yes	characteristic
769	#388	—	13	1	no	—
770	#388	—	13	1	no	—
771	#388	—	13	1	no	—
772	#388	—	13	1	no	—
773	#388	—	13	1	no	—
774	#388	—	13	1	no	—
775	#388	—	13	1	no	—
776	#388	—	13	1	no	—
777	#388	—	13	1	no	—
778	#388	—	13	1	no	—
779	#388	—	13	1	no	—
780	#388	—	13	1	no	—
781	#388	—	13	1	no	—
782	#388	—	13	1	no	—
783	#388	C₂×D₁₃	1	1	yes	characteristic
784	#388	C₂×D₁₃	1	1	yes	characteristic
785	#387	—	13	1	no	—
786	#387	—	13	1	no	—
787	#387	—	13	1	no	—
788	#387	—	13	1	no	—
789	#387	—	13	1	no	—
790	#387	—	13	1	no	—
791	#387	—	13	1	no	—
792	#387	—	13	1	no	—
793	#387	—	13	1	no	—
794	#387	—	13	1	no	—
795	#387	—	13	1	no	—
796	#387	—	13	1	no	—
797	#387	—	13	1	no	—
798	#387	—	13	1	no	—
799	#387	C₂×D₁₃	1	1	yes	characteristic
800	#387	C₂×D₁₃	1	1	yes	characteristic
801	#386	—	13	1	no	—
802	#386	—	13	1	no	—
803	#386	—	13	1	no	—
804	#386	C₂×D₁₃	1	1	yes	characteristic
805	#385	—	13	1	no	—
806	#385	—	13	1	no	—
807	#385	—	13	1	no	—
808	#385	—	13	1	no	—
809	#385	—	13	1	no	—
810	#385	—	13	1	no	—
811	#385	—	13	1	no	—
812	#385	—	13	1	no	—
813	#385	—	13	1	no	—
814	#385	—	13	1	no	—
815	#385	—	13	1	no	—
816	#385	—	13	1	no	—
817	#385	—	13	1	no	—
818	#385	—	13	1	no	—
819	#385	—	13	1	no	—
820	#385	—	13	1	no	—
821	#385	—	13	1	no	—
822	#385	C₂×D₁₃	1	1	yes	characteristic
823	#385	C₂×D₁₃	1	1	yes	characteristic
824	#385	C₂×D₁₃	1	1	yes	characteristic
825	#384	—	13	1	no	—
826	#384	—	13	1	no	—
827	#384	—	13	1	no	—
828	#384	—	13	1	no	—
829	#384	—	13	1	no	—
830	#384	—	13	1	no	—
831	#384	—	13	1	no	—
832	#384	—	13	1	no	—
833	#384	—	13	1	no	—
834	#384	—	13	1	no	—
835	#383	—	13	1	no	—
836	#383	—	13	1	no	—
837	#382	—	13	1	no	—
838	#382	—	13	1	no	—
839	#382	—	13	1	no	—
840	#382	—	13	1	no	—
841	#381	—	13	1	no	—
842	#381	C₂×D₁₃	1	1	yes	characteristic
843	#380	—	13	1	no	—
844	#380	—	13	1	no	—
845	#380	—	13	1	no	—
846	#380	—	13	1	no	—
847	#380	—	13	1	no	—
848	#380	—	13	1	no	—
849	C₄×C₄⋊C₄	—	13	1	no	—
850	C₄×C₄⋊C₄	—	13	1	no	—
851	C₄×C₄⋊C₄	—	13	1	no	—
852	C₄×C₄⋊C₄	—	13	1	no	—
853	C₄×C₄⋊C₄	—	13	1	no	—
854	C₄×C₄⋊C₄	—	13	1	no	—
855	C₄×C₄⋊C₄	—	13	1	no	—
856	C₄×C₄⋊C₄	—	13	1	no	—
857	C₄×C₄⋊C₄	—	13	1	no	—
858	C₄×C₄⋊C₄	—	13	1	no	—
859	C₄×C₂²⋊C₄	—	13	1	no	—
860	C₄×C₂²⋊C₄	—	13	1	no	—
861	C₄×C₂²⋊C₄	—	13	1	no	—
862	C₄×C₂²⋊C₄	—	13	1	no	—
863	C₄×C₂²⋊C₄	—	13	1	no	—
864	C₄×C₂²⋊C₄	C₂×D₁₃	1	1	yes	characteristic
865	#376	—	13	1	no	—
866	#376	—	13	1	no	—
867	C₂²×C₁₃	—	2	2	no	—
868	C₂²×C₁₃	—	2	2	no	—
869	C₂²×C₁₃	—	2	2	no	—
870	C₂²×C₁₃	—	2	2	no	—
871	C₂²×C₁₃	—	2	2	no	—
872	C₂²×C₁₃	—	2	2	no	—
873	C₂²×C₁₃	—	2	2	no	—
874	C₂²×C₁₃	—	2	2	no	—
875	C₂²×C₁₃	—	2	2	no	—
876	C₂²×C₁₃	—	4	1	no	—
877	C₂²×C₁₃	—	4	1	no	—
878	C₂²×C₁₃	—	4	1	no	—
879	C₂²×C₁₃	—	4	1	no	—
880	C₂²×C₁₃	#520	1	4	yes	—
881	C₂²×C₁₃	C₂⁴×C₄	1	1	yes	characteristic
882	C₂²×C₁₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
883	C₂²×C₁₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
884	C₂²×C₁₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
885	C₂²×C₁₃	C₂×2₋¹⁺⁴	1	1	yes	characteristic
886	C₂²×C₁₃	C₂×2₋¹⁺⁴	1	1	yes	characteristic
887	C₂²×C₁₃	C₂×2₋¹⁺⁴	1	1	yes	characteristic
888	C₂×D₁₃	—	2	2	no	—
889	C₂×D₁₃	—	2	2	no	—
890	C₂×D₁₃	—	2	2	no	—
891	C₂×D₁₃	—	4	1	no	—
892	C₂×D₁₃	—	4	1	no	—
893	C₂×D₁₃	—	4	1	no	—
894	C₂×D₁₃	—	4	1	no	—
895	C₄×C₁₃	—	2	2	no	—
896	C₄×C₁₃	—	2	2	no	—
897	C₄×C₁₃	—	2	2	no	—
898	C₄×C₁₃	—	2	2	no	—
899	C₄×C₁₃	—	2	2	no	—
900	C₄×C₁₃	—	4	1	no	—
901	C₄×C₁₃	—	4	1	no	—
902	C₄×C₁₃	—	4	1	no	—
903	C₄×C₁₃	—	4	1	no	—
904	C₄×C₁₃	—	4	1	no	—
905	C₄×C₁₃	—	4	1	no	—
906	C₄×C₁₃	—	4	1	no	—
907	C₄×C₁₃	—	4	1	no	—
908	Dic₁₃	—	2	2	no	—
909	Dic₁₃	—	2	2	no	—
910	Dic₁₃	—	2	2	no	—
911	Dic₁₃	—	2	2	no	—
912	Dic₁₃	—	2	2	no	—
913	Dic₁₃	—	4	1	no	—
914	Dic₁₃	—	4	1	no	—
915	Dic₁₃	—	4	1	no	—
916	Dic₁₃	—	4	1	no	—
917	Dic₁₃	—	4	1	no	—
918	Dic₁₃	—	4	1	no	—
919	Dic₁₃	—	4	1	no	—
920	Dic₁₃	—	4	1	no	—
921	Dic₁₃	#520	1	4	yes	—
922	Dic₁₃	#520	1	4	yes	—
923	C₂²×Q₈	—	13	1	no	—
924	C₂²×D₄	—	13	1	no	—
925	C₂²×D₄	—	13	1	no	—
926	C₂²×D₄	C₂²×D₁₃	1	1	yes	characteristic
927	C₂³×C₄	—	13	1	no	—
928	C₂³×C₄	—	13	1	no	—
929	C₂³×C₄	—	13	1	no	—
930	C₂³×C₄	—	13	1	no	—
931	C₂³×C₄	—	13	1	no	—
932	C₂³×C₄	—	13	1	no	—
933	C₂³×C₄	—	13	1	no	—
934	C₂³×C₄	—	13	1	no	—
935	C₂³×C₄	—	13	1	no	—
936	C₂³×C₄	C₂²×D₁₃	1	1	yes	characteristic
937	C₂³×C₄	C₂²×D₁₃	1	1	yes	characteristic
938	C₂³×C₄	C₂²×D₁₃	1	1	yes	characteristic
939	C₂³×C₄	C₂²×D₁₃	1	1	yes	characteristic
940	#126	—	13	8	no	—
941	#126	—	13	8	no	—
942	#125	—	13	8	no	—
943	#124	—	13	8	no	—
944	#123	—	13	8	no	—
945	#123	C₄×D₁₃	1	8	yes	complemented
946	C₂²⋊Q₈	—	13	8	no	—
947	#121	—	13	8	no	—
948	C₄×Q₈	—	13	8	no	—
949	C₄×Q₈	—	52	2	no	—
950	C₄×Q₈	—	52	2	no	—
951	C₄×D₄	—	4	2	no	—
952	C₄×D₄	—	13	8	no	—
953	C₄×D₄	—	13	8	no	—
954	C₄×D₄	—	13	8	no	—
955	C₄×D₄	—	52	2	no	—
956	C₄×D₄	—	52	2	no	—
957	C₄×D₄	—	52	2	no	—
958	C₄×D₄	—	52	2	no	—
959	C₄×D₄	—	52	2	no	—
960	#117	—	13	8	no	—
961	#117	—	13	8	no	—
962	#117	—	52	2	no	—
963	#117	—	52	2	no	—
964	C₂×C₄⋊C₄	—	4	2	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	—	13	1	no	—
970	C₂×C₄⋊C₄	—	13	1	no	—
971	C₂×C₄⋊C₄	—	13	1	no	—
972	C₂×C₄⋊C₄	—	13	1	no	—
973	C₂×C₄⋊C₄	—	13	1	no	—
974	C₂×C₄⋊C₄	—	13	1	no	—
975	C₂×C₄⋊C₄	—	13	1	no	—
976	C₂×C₄⋊C₄	—	13	1	no	—
977	C₂×C₄⋊C₄	—	13	1	no	—
978	C₂×C₄⋊C₄	—	13	1	no	—
979	C₂×C₄⋊C₄	—	13	1	no	—
980	C₂×C₄⋊C₄	—	13	1	no	—
981	C₂×C₄⋊C₄	—	13	1	no	—
982	C₂×C₄⋊C₄	—	13	1	no	—
983	C₂×C₄⋊C₄	—	13	1	no	—
984	C₂×C₄⋊C₄	—	13	1	no	—
985	C₂×C₄⋊C₄	—	13	1	no	—
986	C₂×C₄⋊C₄	—	13	1	no	—
987	C₂×C₄⋊C₄	—	13	1	no	—
988	C₂×C₄⋊C₄	—	13	1	no	—
989	C₂×C₄⋊C₄	—	13	1	no	—
990	C₂×C₄⋊C₄	—	13	1	no	—
991	C₂×C₄⋊C₄	—	13	1	no	—
992	C₂×C₄⋊C₄	—	13	1	no	—
993	C₂×C₄⋊C₄	—	13	1	no	—
994	C₂×C₄⋊C₄	—	13	1	no	—
995	C₂×C₄⋊C₄	—	13	1	no	—
996	C₂×C₄⋊C₄	—	13	1	no	—
997	C₂×C₄⋊C₄	—	13	1	no	—
998	C₂×C₄⋊C₄	—	13	1	no	—
999	C₂×C₄⋊C₄	—	13	1	no	—
1000	C₂×C₄⋊C₄	—	13	1	no	—
1001	C₂×C₄⋊C₄	—	13	1	no	—
1002	C₂×C₄⋊C₄	—	13	1	no	—
1003	C₂×C₄⋊C₄	—	13	1	no	—
1004	C₂×C₄⋊C₄	—	13	1	no	—
1005	C₂×C₄⋊C₄	—	13	1	no	—
1006	C₂×C₄⋊C₄	—	52	2	no	—
1007	C₂×C₄⋊C₄	—	52	2	no	—
1008	C₂×C₄⋊C₄	—	52	2	no	—
1009	C₂×C₄⋊C₄	—	52	2	no	—
1010	C₂×C₄⋊C₄	—	52	2	no	—
1011	C₂×C₄⋊C₄	—	52	2	no	—
1012	C₂×C₄⋊C₄	—	52	2	no	—
1013	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1014	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1015	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1016	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1017	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1018	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1019	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1020	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1021	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1022	C₂×C₂²⋊C₄	—	13	1	no	—
1023	C₂×C₂²⋊C₄	—	13	1	no	—
1024	C₂×C₂²⋊C₄	—	13	1	no	—
1025	C₂×C₂²⋊C₄	—	13	1	no	—
1026	C₂×C₂²⋊C₄	—	13	1	no	—
1027	C₂×C₂²⋊C₄	—	13	1	no	—
1028	C₂×C₂²⋊C₄	—	13	1	no	—
1029	C₂×C₂²⋊C₄	—	13	1	no	—
1030	C₂×C₂²⋊C₄	—	13	1	no	—
1031	C₂×C₂²⋊C₄	—	13	1	no	—
1032	C₂×C₂²⋊C₄	—	13	1	no	—
1033	C₂×C₂²⋊C₄	—	13	1	no	—
1034	C₂×C₂²⋊C₄	—	13	1	no	—
1035	C₂×C₂²⋊C₄	—	13	1	no	—
1036	C₂×C₂²⋊C₄	—	13	1	no	—
1037	C₂×C₂²⋊C₄	—	13	1	no	—
1038	C₂×C₂²⋊C₄	—	13	1	no	—
1039	C₂×C₂²⋊C₄	—	13	1	no	—
1040	C₂×C₂²⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1041	C₂×C₂²⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1042	C₂×C₂²⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1043	C₂×C₂²⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1044	C₂×C₂²⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1045	C₂×C₂²⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1046	C₂×C₂²⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1047	C₂×C₂²⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1048	C₂×C₄²	—	13	8	no	—
1049	C₂×C₄²	—	13	1	no	—
1050	C₂×C₄²	—	13	1	no	—
1051	C₂×C₄²	—	13	1	no	—
1052	C₂×C₄²	—	13	1	no	—
1053	C₂×C₄²	—	13	1	no	—
1054	C₂×C₄²	—	13	1	no	—
1055	C₂×C₄²	—	13	1	no	—
1056	C₂×C₄²	—	13	1	no	—
1057	C₂×C₄²	—	13	1	no	—
1058	C₂×C₄²	—	13	1	no	—
1059	C₂×C₄²	—	13	1	no	—
1060	C₂×C₄²	—	13	1	no	—
1061	C₂×C₄²	—	13	1	no	—
1062	C₂×C₄²	—	13	1	no	—
1063	C₂×C₄²	—	13	1	no	—
1064	C₂×C₄²	—	13	1	no	—
1065	C₂×C₄²	—	13	1	no	—
1066	C₂×C₄²	—	13	1	no	—
1067	C₂×C₄²	—	13	1	no	—
1068	C₂×C₄²	C₂²×D₁₃	1	1	yes	characteristic
1069	C₂×C₄²	C₂²×D₁₃	1	1	yes	characteristic
1070	C₂×C₄²	C₂²×D₁₃	1	1	yes	characteristic
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	—	13	1	no	—
1080	#95	—	13	1	no	—
1081	#95	—	13	1	no	—
1082	#95	—	13	1	no	—
1083	#95	—	13	1	no	—
1084	#95	—	13	1	no	—
1085	#95	—	13	1	no	—
1086	#95	—	13	1	no	—
1087	#95	—	13	1	no	—
1088	#95	—	13	1	no	—
1089	#95	—	13	1	no	—
1090	#95	—	13	1	no	—
1091	#95	—	13	1	no	—
1092	#95	—	13	1	no	—
1093	#95	—	13	1	no	—
1094	#95	—	13	1	no	—
1095	#95	—	13	1	no	—
1096	#95	—	13	1	no	—
1097	#95	—	13	1	no	—
1098	#95	—	13	1	no	—
1099	#95	—	13	1	no	—
1100	#95	—	13	1	no	—
1101	#95	C₂²×D₁₃	1	1	yes	characteristic
1102	#95	C₂²×D₁₃	1	1	yes	characteristic
1103	#95	C₂²×D₁₃	1	1	yes	characteristic
1104	#95	C₂²×D₁₃	1	1	yes	characteristic
1105	#95	C₂²×D₁₃	1	1	yes	characteristic
1106	#95	C₂²×D₁₃	1	1	yes	characteristic
1107	#95	C₂²×D₁₃	1	1	yes	characteristic
1108	#95	C₂²×D₁₃	1	1	yes	characteristic
1109	#95	C₂²×D₁₃	1	1	yes	characteristic
1110	#95	C₂²×D₁₃	1	1	yes	characteristic
1111	C₂×C₁₃	—	2	4	no	—
1112	C₂×C₁₃	—	4	2	no	—
1113	C₂×C₁₃	C₂×#520	1	1	yes	characteristic
1114	C₂×C₁₃	C₂×#520	1	1	yes	characteristic
1115	C₂×C₁₃	C₂×#520	1	1	yes	characteristic
1116	C₂×C₁₃	#3543	1	1	yes	characteristic
1117	C₂×C₁₃	#3544	1	1	yes	characteristic
1118	C₂×C₁₃	#3552	1	1	yes	characteristic
1119	C₂×C₁₃	#3552	1	1	yes	characteristic
1120	D₁₃	—	4	2	no	—
1121	C₂⁴	—	13	1	no	—
1122	C₂⁴	C₂³×D₁₃	1	1	yes	characteristic
1123	C₂⁴	C₂³×D₁₃	1	1	yes	characteristic
1124	C₂×Q₈	—	13	4	no	—
1125	C₂×Q₈	—	26	2	no	—
1126	C₂×Q₈	—	26	2	no	—
1127	C₂×D₄	—	2	2	no	—
1128	C₂×D₄	—	2	2	no	—
1129	C₂×D₄	—	13	4	no	—
1130	C₂×D₄	—	13	4	no	—
1131	C₂×D₄	—	26	2	no	—
1132	C₂×D₄	—	26	2	no	—
1133	C₂×D₄	—	26	2	no	—
1134	C₂×D₄	—	26	2	no	—
1135	C₂×D₄	C₂×C₄×D₁₃	1	4	yes	—
1136	C₂²×C₄	—	2	2	no	—
1137	C₂²×C₄	—	2	2	no	—
1138	C₂²×C₄	—	2	2	no	—
1139	C₂²×C₄	—	2	2	no	—
1140	C₂²×C₄	—	4	1	no	—
1141	C₂²×C₄	—	4	1	no	—
1142	C₂²×C₄	—	4	1	no	—
1143	C₂²×C₄	—	4	1	no	—
1144	C₂²×C₄	—	4	1	no	—
1145	C₂²×C₄	—	4	1	no	—
1146	C₂²×C₄	—	4	1	no	—
1147	C₂²×C₄	—	13	1	no	—
1148	C₂²×C₄	—	13	1	no	—
1149	C₂²×C₄	—	13	4	no	—
1150	C₂²×C₄	—	13	4	no	—
1151	C₂²×C₄	—	13	4	no	—
1152	C₂²×C₄	—	13	1	no	—
1153	C₂²×C₄	—	13	1	no	—
1154	C₂²×C₄	—	13	1	no	—
1155	C₂²×C₄	—	13	1	no	—
1156	C₂²×C₄	—	13	1	no	—
1157	C₂²×C₄	—	13	4	no	—
1158	C₂²×C₄	—	13	1	no	—
1159	C₂²×C₄	—	13	1	no	—
1160	C₂²×C₄	—	13	1	no	—
1161	C₂²×C₄	—	13	1	no	—
1162	C₂²×C₄	—	13	1	no	—
1163	C₂²×C₄	—	13	1	no	—
1164	C₂²×C₄	—	13	1	no	—
1165	C₂²×C₄	—	13	1	no	—
1166	C₂²×C₄	—	26	2	no	—
1167	C₂²×C₄	—	26	2	no	—
1168	C₂²×C₄	—	26	2	no	—
1169	C₂²×C₄	—	26	2	no	—
1170	C₂²×C₄	—	26	2	no	—
1171	C₂²×C₄	—	26	2	no	—
1172	C₂²×C₄	—	26	2	no	—
1173	C₂²×C₄	—	26	2	no	—
1174	C₂²×C₄	—	26	2	no	—
1175	C₂²×C₄	—	26	2	no	—
1176	C₂²×C₄	—	52	1	no	—
1177	C₂²×C₄	—	52	1	no	—
1178	C₂²×C₄	—	52	1	no	—
1179	C₂²×C₄	—	52	1	no	—
1180	C₂²×C₄	—	52	1	no	—
1181	C₂²×C₄	—	52	1	no	—
1182	C₂²×C₄	—	52	1	no	—
1183	C₂²×C₄	—	52	1	no	—
1184	C₂²×C₄	—	52	1	no	—
1185	C₂²×C₄	—	52	1	no	—
1186	C₂²×C₄	—	52	1	no	—
1187	C₂²×C₄	—	52	1	no	—
1188	C₂²×C₄	—	52	1	no	—
1189	C₂²×C₄	C₂×C₄×D₁₃	1	4	yes	—
1190	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1191	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1192	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1193	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1194	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1195	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1196	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1197	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1198	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1199	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1200	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1201	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1202	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1203	C₄⋊C₄	—	4	1	no	—
1204	C₄⋊C₄	—	4	1	no	—
1205	C₄⋊C₄	—	4	1	no	—
1206	C₄⋊C₄	—	4	1	no	—
1207	C₄⋊C₄	—	4	1	no	—
1208	C₄⋊C₄	—	4	1	no	—
1209	C₄⋊C₄	—	4	1	no	—
1210	C₄⋊C₄	—	13	4	no	—
1211	C₄⋊C₄	—	13	4	no	—
1212	C₄⋊C₄	—	13	4	no	—
1213	C₄⋊C₄	—	13	4	no	—
1214	C₄⋊C₄	—	13	4	no	—
1215	C₄⋊C₄	—	13	4	no	—
1216	C₄⋊C₄	—	13	4	no	—
1217	C₄⋊C₄	—	13	4	no	—
1218	C₄⋊C₄	—	26	2	no	—
1219	C₄⋊C₄	—	26	2	no	—
1220	C₄⋊C₄	—	26	2	no	—
1221	C₄⋊C₄	—	26	2	no	—
1222	C₄⋊C₄	—	26	2	no	—
1223	C₄⋊C₄	—	26	2	no	—
1224	C₄⋊C₄	—	26	2	no	—
1225	C₄⋊C₄	—	26	2	no	—
1226	C₄⋊C₄	—	26	2	no	—
1227	C₄⋊C₄	—	26	2	no	—
1228	C₄⋊C₄	—	26	2	no	—
1229	C₄⋊C₄	—	26	2	no	—
1230	C₄⋊C₄	—	52	1	no	—
1231	C₄⋊C₄	—	52	1	no	—
1232	C₄⋊C₄	—	52	1	no	—
1233	C₄⋊C₄	—	52	1	no	—
1234	C₄⋊C₄	—	52	1	no	—
1235	C₄⋊C₄	—	52	1	no	—
1236	C₄⋊C₄	—	52	1	no	—
1237	C₄⋊C₄	—	52	1	no	—
1238	C₄⋊C₄	—	52	1	no	—
1239	C₄⋊C₄	—	52	1	no	—
1240	C₄⋊C₄	—	52	1	no	—
1241	C₄⋊C₄	—	52	1	no	—
1242	C₄⋊C₄	—	52	1	no	—
1243	C₄⋊C₄	—	52	1	no	—
1244	C₄⋊C₄	—	52	1	no	—
1245	C₄⋊C₄	—	52	1	no	—
1246	C₄⋊C₄	—	52	1	no	—
1247	C₄⋊C₄	—	52	1	no	—
1248	C₄⋊C₄	—	52	1	no	—
1249	C₄⋊C₄	—	52	1	no	—
1250	C₄⋊C₄	—	52	1	no	—
1251	C₄⋊C₄	C₂×C₄×D₁₃	1	4	yes	—
1252	C₄⋊C₄	C₂×C₄×D₁₃	1	4	yes	—
1253	C₂²⋊C₄	—	2	2	no	—
1254	C₂²⋊C₄	—	2	2	no	—
1255	C₂²⋊C₄	—	4	1	no	—
1256	C₂²⋊C₄	—	4	1	no	—
1257	C₂²⋊C₄	—	4	1	no	—
1258	C₂²⋊C₄	—	13	4	no	—
1259	C₂²⋊C₄	—	13	4	no	—
1260	C₂²⋊C₄	—	13	4	no	—
1261	C₂²⋊C₄	—	13	4	no	—
1262	C₂²⋊C₄	—	13	4	no	—
1263	C₂²⋊C₄	—	13	4	no	—
1264	C₂²⋊C₄	—	13	4	no	—
1265	C₂²⋊C₄	—	26	2	no	—
1266	C₂²⋊C₄	—	26	2	no	—
1267	C₂²⋊C₄	—	52	1	no	—
1268	C₂²⋊C₄	—	52	1	no	—
1269	C₂²⋊C₄	—	52	1	no	—
1270	C₂²⋊C₄	—	52	1	no	—
1271	C₂²⋊C₄	—	52	1	no	—
1272	C₂²⋊C₄	—	52	1	no	—
1273	C₂²⋊C₄	—	52	1	no	—
1274	C₂²⋊C₄	—	52	1	no	—
1275	C₂²⋊C₄	—	52	1	no	—
1276	C₂²⋊C₄	C₂×C₄×D₁₃	1	4	yes	—
1277	C₂²⋊C₄	C₂×C₄×D₁₃	1	4	yes	—
1278	C₂²⋊C₄	C₂×C₄×D₁₃	1	4	yes	—
1279	C₄²	—	4	1	no	—
1280	C₄²	—	4	1	no	—
1281	C₄²	—	4	1	no	—
1282	C₄²	—	13	4	no	—
1283	C₄²	—	13	4	no	—
1284	C₄²	—	13	4	no	—
1285	C₄²	—	13	4	no	—
1286	C₄²	—	13	4	no	—
1287	C₄²	—	13	4	no	—
1288	C₄²	—	26	2	no	—
1289	C₄²	—	26	2	no	—
1290	C₄²	—	26	2	no	—
1291	C₄²	—	26	2	no	—
1292	C₄²	—	52	1	no	—
1293	C₄²	—	52	1	no	—
1294	C₄²	—	52	1	no	—
1295	C₄²	—	52	1	no	—
1296	C₄²	—	52	1	no	—
1297	C₄²	—	52	1	no	—
1298	C₄²	—	52	1	no	—
1299	C₄²	—	52	1	no	—
1300	C₄²	—	52	1	no	—
1301	C₁₃	#34384	1	1	yes	characteristic, complemented, Sylow
1302	C₂³	—	2	1	no	—
1303	C₂³	—	2	1	no	—
1304	C₂³	—	2	1	no	—
1305	C₂³	—	2	1	no	—
1306	C₂³	—	2	1	no	—
1307	C₂³	—	2	1	no	—
1308	C₂³	—	2	1	no	—
1309	C₂³	—	2	1	no	—
1310	C₂³	—	2	1	no	—
1311	C₂³	—	2	1	no	—
1312	C₂³	—	13	2	no	—
1313	C₂³	—	26	1	no	—
1314	C₂³	—	26	1	no	—
1315	C₂³	—	26	1	no	—
1316	C₂³	—	26	1	no	—
1317	C₂³	—	26	1	no	—
1318	C₂³	—	26	1	no	—
1319	C₂³	C₂²×C₄×D₁₃	1	2	yes	—
1320	C₂³	C₂²×C₄×D₁₃	1	2	yes	—
1321	C₂³	#88251	1	2	yes	—
1322	C₂³	#88257	1	2	yes	—
1323	C₂³	C₂⁴×D₁₃	1	1	yes	characteristic
1324	Q₈	—	26	8	no	—
1325	D₄	—	2	8	no	—
1326	D₄	—	26	8	no	—
1327	D₄	—	26	8	no	—
1328	C₂×C₄	—	2	8	no	—
1329	C₂×C₄	—	2	1	no	—
1330	C₂×C₄	—	2	1	no	—
1331	C₂×C₄	—	2	1	no	—
1332	C₂×C₄	—	2	1	no	—
1333	C₂×C₄	—	2	1	no	—
1334	C₂×C₄	—	2	1	no	—
1335	C₂×C₄	—	2	1	no	—
1336	C₂×C₄	—	2	1	no	—
1337	C₂×C₄	—	2	1	no	—
1338	C₂×C₄	—	2	1	no	—
1339	C₂×C₄	—	2	1	no	—
1340	C₂×C₄	—	2	1	no	—
1341	C₂×C₄	—	2	1	no	—
1342	C₂×C₄	—	2	1	no	—
1343	C₂×C₄	—	2	1	no	—
1344	C₂×C₄	—	2	1	no	—
1345	C₂×C₄	—	2	1	no	—
1346	C₂×C₄	—	2	1	no	—
1347	C₂×C₄	—	2	1	no	—
1348	C₂×C₄	—	2	1	no	—
1349	C₂×C₄	—	2	1	no	—
1350	C₂×C₄	—	2	1	no	—
1351	C₂×C₄	—	2	1	no	—
1352	C₂×C₄	—	2	1	no	—
1353	C₂×C₄	—	2	1	no	—
1354	C₂×C₄	—	2	1	no	—
1355	C₂×C₄	—	2	1	no	—
1356	C₂×C₄	—	2	1	no	—
1357	C₂×C₄	—	2	1	no	—
1358	C₂×C₄	—	2	1	no	—
1359	C₂×C₄	—	2	1	no	—
1360	C₂×C₄	—	2	1	no	—
1361	C₂×C₄	—	2	1	no	—
1362	C₂×C₄	—	2	1	no	—
1363	C₂×C₄	—	8	2	no	—
1364	C₂×C₄	—	8	2	no	—
1365	C₂×C₄	—	8	2	no	—
1366	C₂×C₄	—	13	2	no	—
1367	C₂×C₄	—	13	2	no	—
1368	C₂×C₄	—	13	2	no	—
1369	C₂×C₄	—	13	2	no	—
1370	C₂×C₄	—	13	2	no	—
1371	C₂×C₄	—	13	2	no	—
1372	C₂×C₄	—	13	2	no	—
1373	C₂×C₄	—	13	2	no	—
1374	C₂×C₄	—	13	2	no	—
1375	C₂×C₄	—	13	2	no	—
1376	C₂×C₄	—	13	2	no	—
1377	C₂×C₄	—	26	8	no	—
1378	C₂×C₄	—	26	8	no	—
1379	C₂×C₄	—	26	8	no	—
1380	C₂×C₄	—	26	8	no	—
1381	C₂×C₄	—	26	1	no	—
1382	C₂×C₄	—	26	1	no	—
1383	C₂×C₄	—	26	1	no	—
1384	C₂×C₄	—	26	1	no	—
1385	C₂×C₄	—	26	1	no	—
1386	C₂×C₄	—	26	1	no	—
1387	C₂×C₄	—	26	1	no	—
1388	C₂×C₄	—	26	1	no	—
1389	C₂×C₄	—	26	1	no	—
1390	C₂×C₄	—	26	1	no	—
1391	C₂×C₄	—	26	1	no	—
1392	C₂×C₄	—	26	1	no	—
1393	C₂×C₄	—	26	1	no	—
1394	C₂×C₄	—	26	1	no	—
1395	C₂×C₄	—	26	1	no	—
1396	C₂×C₄	—	26	1	no	—
1397	C₂×C₄	—	26	1	no	—
1398	C₂×C₄	—	26	1	no	—
1399	C₂×C₄	—	26	1	no	—
1400	C₂×C₄	—	26	1	no	—
1401	C₂×C₄	—	26	1	no	—
1402	C₂×C₄	—	26	1	no	—
1403	C₂×C₄	—	26	1	no	—
1404	C₂×C₄	—	26	1	no	—
1405	C₂×C₄	—	26	1	no	—
1406	C₂×C₄	—	26	1	no	—
1407	C₂×C₄	—	26	1	no	—
1408	C₂×C₄	—	26	1	no	—
1409	C₂×C₄	—	26	1	no	—
1410	C₂×C₄	—	26	1	no	—
1411	C₂×C₄	—	26	1	no	—
1412	C₂×C₄	—	26	1	no	—
1413	C₂×C₄	—	26	1	no	—
1414	C₂×C₄	—	26	1	no	—
1415	C₂×C₄	—	104	2	no	—
1416	C₂×C₄	—	104	2	no	—
1417	C₂×C₄	—	104	2	no	—
1418	C₂×C₄	—	104	2	no	—
1419	C₂×C₄	—	104	2	no	—
1420	C₂×C₄	C₂²×C₄×D₁₃	1	2	yes	—
1421	C₂×C₄	C₂²×C₄×D₁₃	1	2	yes	—
1422	C₂×C₄	C₂²×C₄×D₁₃	1	2	yes	—
1423	C₂×C₄	C₂²×C₄×D₁₃	1	2	yes	—
1424	C₂×C₄	C₂²×C₄×D₁₃	1	2	yes	—
1425	C₂²	—	2	2	no	—
1426	C₂²	—	2	2	no	—
1427	C₂²	—	2	2	no	—
1428	C₂²	—	2	2	no	—
1429	C₂²	—	2	2	no	—
1430	C₂²	—	2	2	no	—
1431	C₂²	—	2	2	no	—
1432	C₂²	—	2	2	no	—
1433	C₂²	—	2	2	no	—
1434	C₂²	—	4	1	no	—
1435	C₂²	—	4	1	no	—
1436	C₂²	—	4	1	no	—
1437	C₂²	—	4	1	no	—
1438	C₂²	—	26	2	no	—
1439	C₂²	—	26	2	no	—
1440	C₂²	—	26	2	no	—
1441	C₂²	—	52	1	no	—
1442	C₂²	—	52	1	no	—
1443	C₂²	—	52	1	no	—
1444	C₂²	—	52	1	no	—
1445	C₂²	#11719251	1	4	yes	—
1446	C₂²	C₂³×C₄×D₁₃	1	1	yes	characteristic
1447	C₂²	C₂×#88251	1	1	yes	characteristic
1448	C₂²	C₂×#88257	1	1	yes	characteristic
1449	C₂²	D₁₃×H(5,𝔽₂)	1	1	yes	characteristic
1450	C₂²	D₁₃×H(5,𝔽₂)	1	1	yes	characteristic
1451	C₂²	D₁₃×2₋¹⁺⁴	1	1	yes	characteristic
1452	C₂²	D₁₃×2₋¹⁺⁴	1	1	yes	characteristic
1453	C₄	—	2	2	no	—
1454	C₄	—	2	2	no	—
1455	C₄	—	2	2	no	—
1456	C₄	—	2	2	no	—
1457	C₄	—	2	2	no	—
1458	C₄	—	4	1	no	—
1459	C₄	—	4	1	no	—
1460	C₄	—	4	1	no	—
1461	C₄	—	4	1	no	—
1462	C₄	—	4	1	no	—
1463	C₄	—	4	1	no	—
1464	C₄	—	4	1	no	—
1465	C₄	—	4	1	no	—
1466	C₄	—	13	4	no	—
1467	C₄	—	13	4	no	—
1468	C₄	—	26	2	no	—
1469	C₄	—	26	2	no	—
1470	C₄	—	26	2	no	—
1471	C₄	—	26	2	no	—
1472	C₄	—	26	2	no	—
1473	C₄	—	52	1	no	—
1474	C₄	—	52	1	no	—
1475	C₄	—	52	1	no	—
1476	C₄	—	52	1	no	—
1477	C₄	—	52	1	no	—
1478	C₄	—	52	1	no	—
1479	C₄	—	52	1	no	—
1480	C₄	—	52	1	no	—
1481	C₂	—	2	4	no	—
1482	C₂	—	4	2	no	—
1483	C₂	—	52	2	no	—
1484	C₂	D₁₃×#520	1	1	yes	characteristic
1485	C₂	D₁₃×#520	1	1	yes	characteristic
1486	C₂	C₂×#11719251	1	1	yes	characteristic
1487	C₂	#13129163	1	1	yes	characteristic
1488	C₂	#13129174	1	1	yes	characteristic
1489	C₂	#13129269	1	1	yes	characteristic
1490	C₂	#13129269	1	1	yes	characteristic

	subgroup	G/H
center, Frattini	C₂³	C₂⁴×D₁₃
commutator	C₂²×C₁₃	C₂⁴×C₄
Fitting	C₁₃×#2322	C₂
socle, cosocle	C₂³×C₁₃	C₂⁵
prime radical	C₂×#88193	C₂²
hypercenter	#2322	D₁₃
hypocenter	C₁₃	#34384
LCS	G ▷ C₂²×C₁₃ ▷ C₁₃
UCS	C₁ ◁ C₂³ ◁ #2322

Complements

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

N	H ≅ G/N	type
2. #13118027	C₂	semidirect
3. #13118026	C₂	semidirect
4. #13118024	C₂	semidirect
5. #13118023	C₂	semidirect
8. #13117842	C₂	semidirect
9. #13117836	C₂	semidirect
10. #13117790	C₂	semidirect
11. #13117782	C₂	semidirect
12. #13117763	C₂	semidirect
13. #13117759	C₂	semidirect
14. #13117750	C₂	semidirect
15. #13117734	C₂	semidirect
16. #13117734	C₂	semidirect
17. D₄×#6101	C₂	semidirect
18. #13117574	C₂	semidirect
19. #13117572	C₂	semidirect
20. #13117545	C₂	semidirect
21. #13117542	C₂	semidirect
22. #13117508	C₂	semidirect
23. #13117505	C₂	semidirect
24. #13117502	C₂	semidirect
25. #13117458	C₂	semidirect
26. #13117455	C₂	semidirect
27. #13117442	C₂	semidirect
28. #13117440	C₂	semidirect
29. C₂×#11718637	C₂	semidirect
30. #13117227	C₂	semidirect
31. C₁₃×#2322	C₂	semidirect
48. #11719354	C₄	semidirect
205. C₁₃×#123	C₂×C₄	semidirect
238. D₄×Dic₁₃	C₂×C₄	semidirect
239. #88183	C₂×C₄	semidirect
299. C₂×C₄×Dic₁₃	C₂×C₄	semidirect
319. #88152	C₂×C₄	semidirect
320. #88146	C₂×C₄	semidirect
322. #88143	C₂×C₄	semidirect
324. #88141	C₂×C₄	semidirect
325. #88139	C₂×C₄	semidirect
328. #88135	C₂×C₄	semidirect
329. #88135	C₂×C₄	semidirect
330. #88133	C₂×C₄	semidirect
331. #88132	C₂×C₄	semidirect
333. #88131	C₂×C₄	semidirect
581. #2322	D₁₃	semidirect
945. #123	C₄×D₁₃	semidirect
1301. C₁₃	#34384	semidirect

Maximal subgroups

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

subgroup	index
C₂×#11719354	2
#13118027	2
#13118026	2
#13118024	2
#13118023	2
#13117853	2
#13117847	2
#13117842	2
#13117836	2
#13117790	2
#13117782	2
#13117763	2
#13117759	2
#13117750	2
#13117734	2
D₄×#6101	2
#13117574	2
#13117572	2
#13117545	2
#13117542	2
#13117508	2
#13117505	2
#13117502	2
#13117458	2
#13117455	2
#13117442	2
#13117440	2
C₂×#11718637	2
#13117227	2
C₁₃×#2322	2
#34384	13