Subgroups — #16069636

Order 3328.

1356 conjugacy classes of subgroups.

The subgroup lattice has 1238 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#13123086	C₂	1	1	yes	maximal, characteristic, complemented
2	#13123081	C₂	1	1	yes	maximal, characteristic, complemented
3	#13123078	C₂	1	1	yes	maximal, characteristic, complemented
4	#13123075	C₂	1	1	yes	maximal, characteristic, complemented
5	#13123037	C₂	1	1	yes	maximal, characteristic
6	#13123036	C₂	1	1	yes	maximal, characteristic
7	#13123030	C₂	1	1	yes	maximal, characteristic
8	#13123029	C₂	1	1	yes	maximal, characteristic
9	#13123015	C₂	1	1	yes	maximal, characteristic, complemented
10	#13123013	C₂	1	1	yes	maximal, characteristic, complemented
11	#13123012	C₂	1	1	yes	maximal, characteristic, complemented
12	#13123009	C₂	1	1	yes	maximal, characteristic, complemented
13	#13122995	C₂	1	1	yes	maximal, characteristic
14	#13122992	C₂	1	1	yes	maximal, characteristic
15	#13122985	C₂	1	1	yes	maximal, characteristic
16	#13118142	C₂	1	1	yes	maximal, characteristic, complemented
17	#13118142	C₂	1	1	yes	maximal, characteristic, complemented
18	#13118142	C₂	1	1	yes	maximal, characteristic, complemented
19	#13118140	C₂	1	1	yes	maximal, characteristic, complemented
20	#13118140	C₂	1	1	yes	maximal, characteristic, complemented
21	#13118138	C₂	1	1	yes	maximal, characteristic
22	#13118133	C₂	1	1	yes	maximal, characteristic
23	#13118133	C₂	1	1	yes	maximal, characteristic
24	#13118133	C₂	1	1	yes	maximal, characteristic
25	#13118126	C₂	1	1	yes	maximal, characteristic, complemented
26	#13118111	C₂	1	1	yes	maximal, characteristic
27	#13118103	C₂	1	1	yes	maximal, characteristic
28	#13117330	C₂	1	1	yes	maximal, characteristic
29	#13117311	C₂	1	1	yes	maximal, characteristic, complemented
30	#13117309	C₂	1	1	yes	maximal, characteristic, complemented
31	C₁₃×#2831	C₂	1	1	yes	maximal, characteristic
32	C₂×Q₈×Dic₁₃	C₂²	1	1	yes	characteristic
33	C₂×#88141	C₂²	1	1	yes	characteristic
34	C₂×#88131	C₂²	1	1	yes	characteristic
35	C₁₃×#400	C₂²	1	1	yes	characteristic
36	C₁₃×#400	C₂²	1	1	yes	characteristic
37	C₁₃×#400	C₂²	1	1	yes	characteristic
38	C₁₃×#398	C₂²	1	1	yes	characteristic
39	C₁₃×#398	C₂²	1	1	yes	characteristic
40	C₁₃×#397	C₂²	1	1	yes	characteristic
41	C₁₃×#397	C₂²	1	1	yes	characteristic
42	C₁₃×#397	C₂²	1	1	yes	characteristic
43	C₁₃×#396	C₂²	1	1	yes	characteristic
44	C₁₃×#396	C₂²	1	1	yes	characteristic
45	C₁₃×#395	C₂²	1	1	yes	characteristic
46	C₁₃×#393	C₂²	1	1	yes	characteristic
47	C₁₃×#391	C₂²	1	1	yes	characteristic
48	C₁₃×#388	C₂²	1	1	yes	characteristic
49	C₁₃×#387	C₂²	1	1	yes	characteristic
50	#11718891	C₂²	1	1	yes	characteristic
51	#11718890	C₂²	1	1	yes	characteristic
52	#11718890	C₂²	1	1	yes	characteristic
53	#11718647	C₂²	1	1	yes	characteristic
54	#11718647	C₂²	1	1	yes	characteristic
55	#11718647	C₂²	1	1	yes	characteristic
56	#11718647	C₂²	1	1	yes	characteristic
57	#11718647	C₂²	1	1	yes	characteristic
58	#11718645	C₂²	1	1	yes	characteristic
59	#11718645	C₂²	1	1	yes	characteristic
60	#11718645	C₂²	1	1	yes	characteristic
61	#11718645	C₂²	1	1	yes	characteristic
62	#11718645	C₂²	1	1	yes	characteristic
63	#11718645	C₂²	1	1	yes	characteristic
64	#11718645	C₂²	1	1	yes	characteristic
65	#11718645	C₂²	1	1	yes	characteristic
66	#11718644	C₂²	1	1	yes	characteristic
67	#11718644	C₂²	1	1	yes	characteristic
68	#11718644	C₂²	1	1	yes	characteristic
69	#11718644	C₂²	1	1	yes	characteristic
70	#11718643	C₂²	1	1	yes	characteristic
71	#11718643	C₂²	1	1	yes	characteristic
72	#11718643	C₂²	1	1	yes	characteristic
73	#11718643	C₂²	1	1	yes	characteristic
74	#11718643	C₂²	1	1	yes	characteristic
75	#11718642	C₂²	1	1	yes	characteristic
76	#11718641	C₂²	1	1	yes	characteristic
77	#11718641	C₂²	1	1	yes	characteristic
78	#11718641	C₂²	1	1	yes	characteristic
79	#11718640	C₂²	1	1	yes	characteristic
80	#11718639	C₂²	1	1	yes	characteristic
81	C₄⋊C₄×Dic₁₃	C₂²	1	1	yes	characteristic
82	C₄⋊C₄×Dic₁₃	C₂²	1	1	yes	characteristic
83	C₄⋊C₄×Dic₁₃	C₂²	1	1	yes	characteristic
84	C₄⋊C₄×Dic₁₃	C₂²	1	1	yes	characteristic
85	C₄⋊C₄×Dic₁₃	C₂²	1	1	yes	characteristic
86	C₄⋊C₄×Dic₁₃	C₂²	1	1	yes	characteristic
87	C₄⋊C₄×Dic₁₃	C₂²	1	1	yes	characteristic
88	C₄⋊C₄×Dic₁₃	C₂²	1	1	yes	characteristic
89	C₄⋊C₄×Dic₁₃	C₂²	1	1	yes	characteristic
90	#11718634	C₂²	1	1	yes	characteristic
91	#11718633	C₂²	1	1	yes	characteristic
92	#11718614	C₂²	1	1	yes	characteristic
93	#11718614	C₂²	1	1	yes	characteristic
94	#11718614	C₂²	1	1	yes	characteristic
95	#11718613	C₂²	1	1	yes	characteristic
96	#11718613	C₂²	1	1	yes	characteristic
97	#11718613	C₂²	1	1	yes	characteristic
98	#11718613	C₂²	1	1	yes	characteristic
99	#11718613	C₂²	1	1	yes	characteristic
100	#11718613	C₂²	1	1	yes	characteristic
101	#11718612	C₂²	1	1	yes	characteristic
102	#11718610	C₂²	1	1	yes	characteristic
103	#11718610	C₂²	1	1	yes	characteristic
104	#11718609	C₂²	1	1	yes	characteristic
105	#11718609	C₂²	1	1	yes	characteristic
106	#11718609	C₂²	1	1	yes	characteristic
107	#11718609	C₂²	1	1	yes	characteristic
108	#11718609	C₂²	1	1	yes	characteristic
109	#11718609	C₂²	1	1	yes	characteristic
110	#11718608	C₂²	1	1	yes	characteristic
111	#11718606	C₂²	1	1	yes	characteristic
112	#11718605	C₂²	1	1	yes	characteristic
113	C₂²⋊C₄×Dic₁₃	C₂²	1	1	yes	characteristic
114	C₂²⋊C₄×Dic₁₃	C₂²	1	1	yes	characteristic
115	C₂²⋊C₄×Dic₁₃	C₂²	1	1	yes	characteristic
116	C₂²⋊C₄×Dic₁₃	C₂²	1	1	yes	characteristic
117	C₂²⋊C₄×Dic₁₃	C₂²	1	1	yes	characteristic
118	C₂²⋊C₄×Dic₁₃	C₂²	1	1	yes	characteristic
119	#11718594	C₂²	1	1	yes	characteristic
120	#11718594	C₂²	1	1	yes	characteristic
121	C₄²×Dic₁₃	C₂²	1	1	yes	characteristic
122	#11718589	C₂²	1	1	yes	characteristic
123	C₁₃⋊#401	C₂²	1	1	yes	characteristic
124	C₁₃⋊#401	C₂²	1	1	yes	characteristic
125	C₁₃⋊#401	C₂²	1	1	yes	characteristic
126	C₁₃⋊#401	C₂²	1	1	yes	characteristic
127	#11718322	C₂²	1	1	yes	characteristic
128	#11718322	C₂²	1	1	yes	characteristic
129	#11718322	C₂²	1	1	yes	characteristic
130	#11718321	C₂²	1	1	yes	characteristic
131	#11718321	C₂²	1	1	yes	characteristic
132	#11718321	C₂²	1	1	yes	characteristic
133	#11718321	C₂²	1	1	yes	characteristic
134	#11718321	C₂²	1	1	yes	characteristic
135	#11718321	C₂²	1	1	yes	characteristic
136	#11718321	C₂²	1	1	yes	characteristic
137	#11718321	C₂²	1	1	yes	characteristic
138	#11718320	C₂²	1	1	yes	characteristic
139	#11718320	C₂²	1	1	yes	characteristic
140	#11718320	C₂²	1	1	yes	characteristic
141	#11718319	C₂²	1	1	yes	characteristic
142	#11718319	C₂²	1	1	yes	characteristic
143	#11718319	C₂²	1	1	yes	characteristic
144	#11718319	C₂²	1	1	yes	characteristic
145	#11718319	C₂²	1	1	yes	characteristic
146	#11718319	C₂²	1	1	yes	characteristic
147	#11718319	C₂²	1	1	yes	characteristic
148	#11718319	C₂²	1	1	yes	characteristic
149	#11718319	C₂²	1	1	yes	characteristic
150	#11718319	C₂²	1	1	yes	characteristic
151	#11718318	C₂²	1	1	yes	characteristic
152	#11718318	C₂²	1	1	yes	characteristic
153	#11718318	C₂²	1	1	yes	characteristic
154	#11718318	C₂²	1	1	yes	characteristic
155	#11718318	C₂²	1	1	yes	characteristic
156	#11718318	C₂²	1	1	yes	characteristic
157	#11718318	C₂²	1	1	yes	characteristic
158	#11718318	C₂²	1	1	yes	characteristic
159	#11718317	C₂²	1	1	yes	characteristic
160	#11718317	C₂²	1	1	yes	characteristic
161	#11718316	C₂²	1	1	yes	characteristic
162	#11718315	C₂²	1	1	yes	characteristic
163	#11718315	C₂²	1	1	yes	characteristic
164	#11718314	C₂²	1	1	yes	characteristic
165	#11718314	C₂²	1	1	yes	characteristic
166	#11718313	C₂²	1	1	yes	characteristic
167	#11718313	C₂²	1	1	yes	characteristic
168	#11718310	C₂²	1	1	yes	characteristic
169	#11718310	C₂²	1	1	yes	characteristic
170	#11718310	C₂²	1	1	yes	characteristic
171	#11718310	C₂²	1	1	yes	characteristic
172	#11718310	C₂²	1	1	yes	characteristic
173	#11718310	C₂²	1	1	yes	characteristic
174	#11718310	C₂²	1	1	yes	characteristic
175	#11718310	C₂²	1	1	yes	characteristic
176	#11718310	C₂²	1	1	yes	characteristic
177	#11718310	C₂²	1	1	yes	characteristic
178	#11718310	C₂²	1	1	yes	characteristic
179	#11718309	C₂²	1	1	yes	characteristic
180	#11718309	C₂²	1	1	yes	characteristic
181	#11718309	C₂²	1	1	yes	characteristic
182	#11718309	C₂²	1	1	yes	characteristic
183	#11718309	C₂²	1	1	yes	characteristic
184	#11718308	C₂²	1	1	yes	characteristic
185	#11718307	C₂²	1	1	yes	characteristic
186	#11718307	C₂²	1	1	yes	characteristic
187	C₂²×Q₈×C₁₃	C₂³	1	1	yes	characteristic
188	C₂³×Dic₁₃	C₂³	1	1	yes	characteristic
189	C₂²×Dic₂₆	C₂³	1	1	yes	characteristic
190	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
191	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
192	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
193	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
194	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
195	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
196	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
197	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
198	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
199	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
200	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
201	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
202	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
203	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
204	C₂×C₁₃×C₂²⋊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×C₄²×C₁₃	C₂³	1	1	yes	characteristic
208	C₂×C₂²⋊Dic₁₃	C₂³	1	1	yes	characteristic
209	C₂×C₂²⋊Dic₁₃	C₂³	1	1	yes	characteristic
210	C₂×C₂²⋊Dic₁₃	C₂³	1	1	yes	characteristic
211	C₂×C₂²⋊Dic₁₃	C₂³	1	1	yes	characteristic
212	C₂×C₂²⋊Dic₁₃	C₂³	1	1	yes	characteristic
213	C₂×C₂²⋊Dic₁₃	C₂³	1	1	yes	characteristic
214	C₂×C₂²⋊Dic₁₃	C₂³	1	1	yes	characteristic
215	Q₈×Dic₁₃	—	2	4	no	—
216	C₂×C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic
217	C₂×C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic
218	C₂×C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic
219	C₂×C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic
220	C₂×C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic
221	C₂×C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic
222	C₂×C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic
223	C₂×C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic
224	C₂×C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic
225	C₂×C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic
226	C₂×C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic
227	C₂×C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic
228	C₂×#6101	C₂³	1	1	yes	characteristic
229	C₂×#6101	C₂³	1	1	yes	characteristic
230	C₂×#6101	C₂³	1	1	yes	characteristic
231	C₂×#6101	C₂³	1	1	yes	characteristic
232	C₂×#6101	C₂³	1	1	yes	characteristic
233	C₂×#6101	C₂³	1	1	yes	characteristic
234	C₂×#6101	C₂³	1	1	yes	characteristic
235	C₂×#6101	C₂³	1	1	yes	characteristic
236	C₂×#6101	C₂³	1	1	yes	characteristic
237	C₂×#6101	C₂³	1	1	yes	characteristic
238	C₂×#6101	C₂³	1	1	yes	characteristic
239	C₂×#6101	C₂³	1	1	yes	characteristic
240	C₂×#6101	C₂³	1	1	yes	characteristic
241	C₂×#6101	C₂³	1	1	yes	characteristic
242	C₂×#6101	C₂³	1	1	yes	characteristic
243	C₂×#6101	C₂³	1	1	yes	characteristic
244	C₂×#6101	C₂³	1	1	yes	characteristic
245	C₂×#6101	C₂³	1	1	yes	characteristic
246	C₂×#6101	C₂³	1	1	yes	characteristic
247	C₂×#6101	C₂³	1	1	yes	characteristic
248	C₂×#6101	C₂³	1	1	yes	characteristic
249	C₂×#6101	C₂³	1	1	yes	characteristic
250	C₂×#6101	C₂³	1	1	yes	characteristic
251	C₂×#6101	C₂³	1	1	yes	characteristic
252	C₂×#6101	C₂³	1	1	yes	characteristic
253	C₂×#6101	C₂³	1	1	yes	characteristic
254	C₂×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×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×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
266	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
267	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
268	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
269	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
270	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
271	#88141	—	2	4	no	—
272	#88131	—	2	4	no	—
273	C₁₃×#95	C₂³	1	1	yes	characteristic
274	C₁₃×#95	C₂³	1	1	yes	characteristic
275	C₁₃×#95	C₂³	1	1	yes	characteristic
276	C₁₃×#95	C₂³	1	1	yes	characteristic
277	C₁₃×#95	C₂³	1	1	yes	characteristic
278	C₁₃×#95	C₂³	1	1	yes	characteristic
279	C₁₃×#95	C₂³	1	1	yes	characteristic
280	C₁₃×#95	C₂³	1	1	yes	characteristic
281	C₁₃×#95	C₂³	1	1	yes	characteristic
282	C₁₃×#95	C₂³	1	1	yes	characteristic
283	C₁₃×#95	C₂³	1	1	yes	characteristic
284	C₁₃×#95	C₂³	1	1	yes	characteristic
285	C₁₃×#95	C₂³	1	1	yes	characteristic
286	C₁₃×#95	C₂³	1	1	yes	characteristic
287	C₁₃×#95	C₂³	1	1	yes	characteristic
288	C₁₃×#95	C₂³	1	1	yes	characteristic
289	#88071	C₂³	1	1	yes	characteristic
290	#88071	C₂³	1	1	yes	characteristic
291	#88071	C₂³	1	1	yes	characteristic
292	#88071	C₂³	1	1	yes	characteristic
293	#88071	C₂³	1	1	yes	characteristic
294	#88071	C₂³	1	1	yes	characteristic
295	#88071	C₂³	1	1	yes	characteristic
296	#88071	C₂³	1	1	yes	characteristic
297	#88071	C₂³	1	1	yes	characteristic
298	#88071	C₂³	1	1	yes	characteristic
299	#88071	C₂³	1	1	yes	characteristic
300	#88071	C₂³	1	1	yes	characteristic
301	#88071	C₂³	1	1	yes	characteristic
302	#88071	C₂³	1	1	yes	characteristic
303	#88071	C₂³	1	1	yes	characteristic
304	#88071	C₂³	1	1	yes	characteristic
305	#88071	C₂³	1	1	yes	characteristic
306	#88071	C₂³	1	1	yes	characteristic
307	#88071	C₂³	1	1	yes	characteristic
308	#88071	C₂³	1	1	yes	characteristic
309	#88071	C₂³	1	1	yes	characteristic
310	#88071	C₂³	1	1	yes	characteristic
311	#88071	C₂³	1	1	yes	characteristic
312	#88071	C₂³	1	1	yes	characteristic
313	#88071	C₂³	1	1	yes	characteristic
314	#88071	C₂³	1	1	yes	characteristic
315	#88071	C₂³	1	1	yes	characteristic
316	#88071	C₂³	1	1	yes	characteristic
317	#88071	C₂³	1	1	yes	characteristic
318	#88071	C₂³	1	1	yes	characteristic
319	#88071	C₂³	1	1	yes	characteristic
320	#88071	C₂³	1	1	yes	characteristic
321	#88071	C₂³	1	1	yes	characteristic
322	#88071	C₂³	1	1	yes	characteristic
323	#88071	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	#36700	—	13	1	no	maximal, Sylow
346	C₂⁴×C₁₃	C₂⁴	1	1	yes	characteristic
347	C₂×Q₈×C₁₃	—	2	2	no	—
348	C₂×Q₈×C₁₃	—	4	1	no	—
349	C₂×Q₈×C₁₃	—	4	1	no	—
350	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
351	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
352	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
353	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
354	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
355	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
356	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
357	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
358	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
359	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
360	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
361	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
362	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
363	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
364	C₂²×Dic₁₃	—	2	2	no	—
365	C₂²×Dic₁₃	—	2	2	no	—
366	C₂²×Dic₁₃	—	2	2	no	—
367	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
368	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
369	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
370	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
371	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
372	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
373	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
374	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
375	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
376	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
377	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
378	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
379	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
380	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
381	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
382	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
383	C₂×Dic₂₆	—	2	2	no	—
384	C₂×Dic₂₆	—	4	1	no	—
385	C₂×Dic₂₆	—	4	1	no	—
386	C₁₃×C₄⋊C₄	—	2	2	no	—
387	C₁₃×C₄⋊C₄	—	4	1	no	—
388	C₁₃×C₄⋊C₄	—	4	1	no	—
389	C₁₃×C₄⋊C₄	—	4	1	no	—
390	C₁₃×C₄⋊C₄	—	4	1	no	—
391	C₁₃×C₄⋊C₄	—	4	1	no	—
392	C₁₃×C₄⋊C₄	—	4	1	no	—
393	C₁₃×C₄⋊C₄	—	4	1	no	—
394	C₁₃×C₄⋊C₄	—	4	1	no	—
395	C₁₃×C₄⋊C₄	—	4	1	no	—
396	C₁₃×C₂²⋊C₄	—	2	2	no	—
397	C₁₃×C₂²⋊C₄	—	4	1	no	—
398	C₁₃×C₂²⋊C₄	—	4	1	no	—
399	C₁₃×C₂²⋊C₄	—	4	1	no	—
400	C₁₃×C₂²⋊C₄	—	4	1	no	—
401	C₁₃×C₂²⋊C₄	—	4	1	no	—
402	C₁₃×C₂²⋊C₄	—	4	1	no	—
403	C₄²×C₁₃	—	4	1	no	—
404	C₂²⋊Dic₁₃	—	2	2	no	—
405	C₂²⋊Dic₁₃	—	4	1	no	—
406	C₂²⋊Dic₁₃	—	4	1	no	—
407	C₂²⋊Dic₁₃	—	4	1	no	—
408	C₂²⋊Dic₁₃	—	4	1	no	—
409	C₂²⋊Dic₁₃	—	4	1	no	—
410	C₂²⋊Dic₁₃	—	4	1	no	—
411	C₄⋊Dic₁₃	—	2	2	no	—
412	C₄⋊Dic₁₃	—	2	2	no	—
413	C₄⋊Dic₁₃	—	2	2	no	—
414	C₄⋊Dic₁₃	—	4	1	no	—
415	C₄⋊Dic₁₃	—	4	1	no	—
416	C₄⋊Dic₁₃	—	4	1	no	—
417	C₄⋊Dic₁₃	—	4	1	no	—
418	C₄⋊Dic₁₃	—	4	1	no	—
419	C₄⋊Dic₁₃	—	4	1	no	—
420	C₄⋊Dic₁₃	—	4	1	no	—
421	C₄⋊Dic₁₃	—	4	1	no	—
422	C₄⋊Dic₁₃	—	4	1	no	—
423	#6101	—	2	2	no	—
424	#6101	—	2	2	no	—
425	#6101	—	2	2	no	—
426	#6101	—	2	2	no	—
427	#6101	—	4	1	no	—
428	#6101	—	4	1	no	—
429	#6101	—	4	1	no	—
430	#6101	—	4	1	no	—
431	#6101	—	4	1	no	—
432	#6101	—	4	1	no	—
433	#6101	—	4	1	no	—
434	#6101	—	4	1	no	—
435	#6101	—	4	1	no	—
436	#6101	—	4	1	no	—
437	#6101	—	4	1	no	—
438	#6101	—	4	1	no	—
439	#6101	—	4	1	no	—
440	#6101	—	4	1	no	—
441	#6101	—	4	1	no	—
442	#6101	—	4	1	no	—
443	#6101	—	4	1	no	—
444	#6101	—	4	1	no	—
445	#6101	—	4	1	no	—
446	#6101	—	4	1	no	—
447	#6101	—	4	1	no	—
448	#6101	—	4	1	no	—
449	C₄×Dic₁₃	—	2	2	no	—
450	C₄×Dic₁₃	—	2	2	no	—
451	C₄×Dic₁₃	—	2	2	no	—
452	C₄×Dic₁₃	—	2	2	no	—
453	C₄×Dic₁₃	—	2	2	no	—
454	C₄×Dic₁₃	—	2	2	no	—
455	C₄×Dic₁₃	—	2	2	no	—
456	C₄×Dic₁₃	—	2	2	no	—
457	C₄×Dic₁₃	—	2	2	no	—
458	C₄×Dic₁₃	—	2	2	no	—
459	C₄×Dic₁₃	—	2	2	no	—
460	C₄×Dic₁₃	—	2	2	no	—
461	C₄×Dic₁₃	—	2	2	no	—
462	C₄×Dic₁₃	—	4	1	no	—
463	C₄×Dic₁₃	—	4	1	no	—
464	C₄×Dic₁₃	—	4	1	no	—
465	C₄×Dic₁₃	#41	1	4	yes	—
466	#2839	—	13	1	no	—
467	#2839	—	13	1	no	—
468	#2839	—	13	1	no	—
469	#2839	—	13	1	no	—
470	#2836	—	13	1	no	—
471	#2836	—	13	1	no	—
472	#2836	—	13	1	no	—
473	#2836	—	13	1	no	—
474	#2833	—	13	1	no	—
475	#2833	—	13	1	no	—
476	#2833	—	13	1	no	—
477	#2833	—	13	1	no	—
478	#2831	—	13	1	no	—
479	#2831	—	13	1	no	—
480	#2831	—	13	1	no	—
481	#2831	D₁₃	1	1	yes	characteristic
482	#2402	—	13	1	no	—
483	#2402	—	13	1	no	—
484	#2402	—	13	1	no	—
485	#2402	—	13	1	no	—
486	#2402	—	13	1	no	—
487	#2401	—	13	1	no	—
488	#2401	—	13	1	no	—
489	#2401	—	13	1	no	—
490	#2401	—	13	1	no	—
491	#2399	—	13	1	no	—
492	#2396	—	13	1	no	—
493	#2396	—	13	1	no	—
494	#2298	—	13	1	no	—
495	#2295	—	13	1	no	—
496	#2295	—	13	1	no	—
497	C₂³×C₁₃	—	2	1	no	—
498	C₂³×C₁₃	—	2	1	no	—
499	C₂³×C₁₃	—	2	1	no	—
500	C₂³×C₁₃	—	2	1	no	—
501	C₂³×C₁₃	—	2	1	no	—
502	C₂³×C₁₃	—	2	1	no	—
503	C₂³×C₁₃	—	2	1	no	—
504	C₂³×C₁₃	C₂⁵	1	1	yes	characteristic
505	Q₈×C₁₃	—	4	4	no	—
506	C₂×C₄×C₁₃	—	2	1	no	—
507	C₂×C₄×C₁₃	—	2	1	no	—
508	C₂×C₄×C₁₃	—	2	1	no	—
509	C₂×C₄×C₁₃	—	2	1	no	—
510	C₂×C₄×C₁₃	—	2	1	no	—
511	C₂×C₄×C₁₃	—	2	1	no	—
512	C₂×C₄×C₁₃	—	2	1	no	—
513	C₂×C₄×C₁₃	—	2	1	no	—
514	C₂×C₄×C₁₃	—	2	1	no	—
515	C₂×C₄×C₁₃	—	2	1	no	—
516	C₂×C₄×C₁₃	—	2	1	no	—
517	C₂×C₄×C₁₃	—	2	1	no	—
518	C₂×C₄×C₁₃	—	2	1	no	—
519	C₂×C₄×C₁₃	—	2	1	no	—
520	C₂×C₄×C₁₃	—	2	1	no	—
521	C₂×C₄×C₁₃	—	2	1	no	—
522	C₂×C₄×C₁₃	—	2	1	no	—
523	C₂×C₄×C₁₃	—	2	1	no	—
524	C₂×C₄×C₁₃	—	2	1	no	—
525	C₂×C₄×C₁₃	—	2	1	no	—
526	C₂×C₄×C₁₃	—	2	1	no	—
527	C₂×C₄×C₁₃	—	2	1	no	—
528	C₂×C₄×C₁₃	—	2	1	no	—
529	C₂×C₄×C₁₃	—	2	1	no	—
530	C₂×C₄×C₁₃	—	2	1	no	—
531	C₂×C₄×C₁₃	—	2	1	no	—
532	C₂×C₄×C₁₃	—	2	1	no	—
533	C₂×C₄×C₁₃	—	2	1	no	—
534	C₂×C₄×C₁₃	—	2	1	no	—
535	C₂×C₄×C₁₃	—	2	1	no	—
536	C₂×C₄×C₁₃	—	2	1	no	—
537	C₂×C₄×C₁₃	—	2	1	no	—
538	C₂×C₄×C₁₃	—	2	1	no	—
539	C₂×C₄×C₁₃	—	2	1	no	—
540	C₂×C₄×C₁₃	—	2	1	no	—
541	C₂×C₄×C₁₃	—	2	1	no	—
542	C₂×C₄×C₁₃	—	2	1	no	—
543	C₂×C₄×C₁₃	—	2	1	no	—
544	C₂×C₄×C₁₃	—	2	1	no	—
545	C₂×C₄×C₁₃	—	2	1	no	—
546	C₂×C₄×C₁₃	—	2	1	no	—
547	C₂×C₄×C₁₃	C₂×#41	1	2	yes	—
548	C₂×Dic₁₃	—	2	1	no	—
549	C₂×Dic₁₃	—	2	1	no	—
550	C₂×Dic₁₃	—	2	1	no	—
551	C₂×Dic₁₃	—	2	1	no	—
552	C₂×Dic₁₃	—	2	1	no	—
553	C₂×Dic₁₃	—	2	1	no	—
554	C₂×Dic₁₃	—	2	1	no	—
555	C₂×Dic₁₃	—	2	1	no	—
556	C₂×Dic₁₃	—	2	1	no	—
557	C₂×Dic₁₃	—	2	1	no	—
558	C₂×Dic₁₃	—	2	1	no	—
559	C₂×Dic₁₃	—	2	1	no	—
560	C₂×Dic₁₃	—	2	1	no	—
561	C₂×Dic₁₃	—	2	1	no	—
562	C₂×Dic₁₃	—	2	1	no	—
563	C₂×Dic₁₃	—	2	1	no	—
564	C₂×Dic₁₃	—	2	1	no	—
565	C₂×Dic₁₃	—	2	1	no	—
566	C₂×Dic₁₃	—	2	1	no	—
567	C₂×Dic₁₃	—	2	1	no	—
568	C₂×Dic₁₃	—	2	1	no	—
569	C₂×Dic₁₃	—	2	1	no	—
570	C₂×Dic₁₃	—	2	1	no	—
571	C₂×Dic₁₃	—	2	1	no	—
572	C₂×Dic₁₃	—	2	1	no	—
573	C₂×Dic₁₃	—	2	1	no	—
574	C₂×Dic₁₃	—	2	1	no	—
575	C₂×Dic₁₃	—	2	1	no	—
576	C₂×Dic₁₃	—	2	1	no	—
577	C₂×Dic₁₃	—	2	1	no	—
578	C₂×Dic₁₃	—	2	1	no	—
579	C₂×Dic₁₃	—	2	1	no	—
580	C₂×Dic₁₃	—	2	1	no	—
581	C₂×Dic₁₃	—	2	1	no	—
582	C₂×Dic₁₃	—	2	1	no	—
583	C₂×Dic₁₃	—	2	1	no	—
584	C₂×Dic₁₃	—	2	1	no	—
585	C₂×Dic₁₃	—	2	1	no	—
586	C₂×Dic₁₃	—	2	1	no	—
587	C₂×Dic₁₃	—	2	1	no	—
588	C₂×Dic₁₃	—	2	1	no	—
589	C₂×Dic₁₃	—	2	1	no	—
590	C₂×Dic₁₃	—	2	1	no	—
591	C₂×Dic₁₃	—	2	1	no	—
592	C₂×Dic₁₃	—	4	4	no	—
593	C₂×Dic₁₃	C₂×#41	1	2	yes	—
594	C₂×Dic₁₃	C₂×#41	1	2	yes	—
595	C₂×Dic₁₃	2₋¹⁺⁴	1	2	yes	—
596	C₂×Dic₁₃	2₋¹⁺⁴	1	2	yes	—
597	Dic₂₆	—	4	4	no	—
598	C₂×C₄×Q₈	—	13	1	no	—
599	C₂×C₄×Q₈	—	13	1	no	—
600	C₂×#117	—	13	1	no	—
601	#401	—	13	1	no	—
602	#401	—	13	1	no	—
603	#401	—	13	1	no	—
604	#401	—	13	1	no	—
605	#400	—	13	1	no	—
606	#400	—	13	1	no	—
607	#400	—	13	1	no	—
608	#400	—	13	1	no	—
609	#400	—	13	1	no	—
610	#400	—	13	1	no	—
611	#400	—	13	1	no	—
612	#400	—	13	1	no	—
613	#400	—	13	1	no	—
614	#400	—	13	1	no	—
615	#400	—	13	1	no	—
616	#400	—	13	1	no	—
617	#400	—	13	1	no	—
618	#400	—	13	1	no	—
619	#400	—	13	1	no	—
620	#400	—	13	1	no	—
621	#400	—	13	1	no	—
622	#400	—	13	1	no	—
623	#400	—	13	1	no	—
624	#400	—	13	1	no	—
625	#400	—	13	1	no	—
626	#400	—	13	1	no	—
627	#400	—	13	1	no	—
628	#400	—	13	1	no	—
629	#400	—	13	1	no	—
630	#400	—	13	1	no	—
631	#400	—	13	1	no	—
632	#400	—	13	1	no	—
633	#400	—	13	1	no	—
634	#400	—	13	1	no	—
635	#400	—	13	1	no	—
636	#400	C₂×D₁₃	1	1	yes	characteristic
637	#400	C₂×D₁₃	1	1	yes	characteristic
638	#400	C₂×D₁₃	1	1	yes	characteristic
639	#399	—	13	1	no	—
640	#399	—	13	1	no	—
641	#398	—	13	1	no	—
642	#398	—	13	1	no	—
643	#398	—	13	1	no	—
644	#398	—	13	1	no	—
645	#398	—	13	1	no	—
646	#398	—	13	1	no	—
647	#398	—	13	1	no	—
648	#398	—	13	1	no	—
649	#398	—	13	1	no	—
650	#398	—	13	1	no	—
651	#398	—	13	1	no	—
652	#398	—	13	1	no	—
653	#398	—	13	1	no	—
654	#398	—	13	1	no	—
655	#398	—	13	1	no	—
656	#398	—	13	1	no	—
657	#398	—	13	1	no	—
658	#398	—	13	1	no	—
659	#398	—	13	1	no	—
660	#398	—	13	1	no	—
661	#398	—	13	1	no	—
662	#398	—	13	1	no	—
663	#398	—	13	1	no	—
664	#398	—	13	1	no	—
665	#398	—	13	1	no	—
666	#398	—	13	1	no	—
667	#398	C₂×D₁₃	1	1	yes	characteristic
668	#398	C₂×D₁₃	1	1	yes	characteristic
669	#397	—	13	1	no	—
670	#397	—	13	1	no	—
671	#397	—	13	1	no	—
672	#397	—	13	1	no	—
673	#397	—	13	1	no	—
674	#397	—	13	1	no	—
675	#397	—	13	1	no	—
676	#397	—	13	1	no	—
677	#397	—	13	1	no	—
678	#397	C₂×D₁₃	1	1	yes	characteristic
679	#397	C₂×D₁₃	1	1	yes	characteristic
680	#397	C₂×D₁₃	1	1	yes	characteristic
681	#396	—	13	1	no	—
682	#396	—	13	1	no	—
683	#396	—	13	1	no	—
684	#396	—	13	1	no	—
685	#396	—	13	1	no	—
686	#396	—	13	1	no	—
687	#396	C₂×D₁₃	1	1	yes	characteristic
688	#396	C₂×D₁₃	1	1	yes	characteristic
689	#395	—	13	1	no	—
690	#395	—	13	1	no	—
691	#395	—	13	1	no	—
692	#395	—	13	1	no	—
693	#395	—	13	1	no	—
694	#395	C₂×D₁₃	1	1	yes	characteristic
695	#393	—	13	1	no	—
696	#393	C₂×D₁₃	1	1	yes	characteristic
697	#391	—	13	1	no	—
698	#391	—	13	1	no	—
699	#391	—	13	1	no	—
700	#391	C₂×D₁₃	1	1	yes	characteristic
701	#389	—	13	1	no	—
702	#389	—	13	1	no	—
703	#389	—	13	1	no	—
704	#389	—	13	1	no	—
705	#388	—	13	1	no	—
706	#388	—	13	1	no	—
707	#388	—	13	1	no	—
708	#388	C₂×D₁₃	1	1	yes	characteristic
709	#387	—	13	1	no	—
710	#387	—	13	1	no	—
711	#387	—	13	1	no	—
712	#387	—	13	1	no	—
713	#387	—	13	1	no	—
714	#387	—	13	1	no	—
715	#387	—	13	1	no	—
716	#387	—	13	1	no	—
717	#387	—	13	1	no	—
718	#387	—	13	1	no	—
719	#387	—	13	1	no	—
720	#387	C₂×D₁₃	1	1	yes	characteristic
721	C₄×C₄⋊C₄	—	13	1	no	—
722	C₄×C₄⋊C₄	—	13	1	no	—
723	C₄×C₄⋊C₄	—	13	1	no	—
724	C₄×C₄⋊C₄	—	13	1	no	—
725	C₄×C₄⋊C₄	—	13	1	no	—
726	C₄×C₄⋊C₄	—	13	1	no	—
727	C₄×C₄⋊C₄	—	13	1	no	—
728	C₄×C₄⋊C₄	—	13	1	no	—
729	C₄×C₄⋊C₄	—	13	1	no	—
730	C₄×C₄⋊C₄	—	13	1	no	—
731	C₄×C₄⋊C₄	—	13	1	no	—
732	C₄×C₄⋊C₄	—	13	1	no	—
733	C₄×C₄⋊C₄	—	13	1	no	—
734	C₄×C₄⋊C₄	—	13	1	no	—
735	C₄×C₄⋊C₄	—	13	1	no	—
736	C₄×C₄⋊C₄	—	13	1	no	—
737	C₄×C₄⋊C₄	—	13	1	no	—
738	C₄×C₄⋊C₄	—	13	1	no	—
739	C₄×C₄⋊C₄	—	13	1	no	—
740	C₄×C₄⋊C₄	—	13	1	no	—
741	C₄×C₂²⋊C₄	—	13	1	no	—
742	C₄×C₂²⋊C₄	—	13	1	no	—
743	C₄×C₂²⋊C₄	—	13	1	no	—
744	C₄×C₂²⋊C₄	—	13	1	no	—
745	C₄×C₂²⋊C₄	—	13	1	no	—
746	C₄×C₂²⋊C₄	—	13	1	no	—
747	#376	—	13	1	no	—
748	#376	—	13	1	no	—
749	#376	—	13	1	no	—
750	#376	—	13	1	no	—
751	#376	—	13	1	no	—
752	C₄³	—	13	1	no	—
753	C₂²×C₁₃	—	4	1	no	—
754	C₂²×C₁₃	—	4	1	no	—
755	C₂²×C₁₃	—	4	1	no	—
756	C₂²×C₁₃	—	4	1	no	—
757	C₂²×C₁₃	—	4	1	no	—
758	C₂²×C₁₃	—	4	1	no	—
759	C₂²×C₁₃	—	4	1	no	—
760	C₂²×C₁₃	C₂²×#41	1	1	yes	characteristic
761	C₂²×C₁₃	C₂×2₋¹⁺⁴	1	1	yes	characteristic
762	C₂²×C₁₃	C₂×2₋¹⁺⁴	1	1	yes	characteristic
763	C₂²×C₁₃	#585	1	1	yes	characteristic
764	C₂²×C₁₃	#585	1	1	yes	characteristic
765	C₂²×C₁₃	#585	1	1	yes	characteristic
766	C₂²×C₁₃	#585	1	1	yes	characteristic
767	C₄×C₁₃	—	2	2	no	—
768	C₄×C₁₃	—	4	1	no	—
769	C₄×C₁₃	—	4	1	no	—
770	C₄×C₁₃	—	4	1	no	—
771	C₄×C₁₃	—	4	1	no	—
772	C₄×C₁₃	—	4	1	no	—
773	C₄×C₁₃	—	4	1	no	—
774	C₄×C₁₃	—	4	1	no	—
775	C₄×C₁₃	—	4	1	no	—
776	C₄×C₁₃	—	4	1	no	—
777	C₄×C₁₃	—	4	1	no	—
778	C₄×C₁₃	—	4	1	no	—
779	C₄×C₁₃	—	4	1	no	—
780	C₄×C₁₃	—	4	1	no	—
781	Dic₁₃	—	2	2	no	—
782	Dic₁₃	—	4	1	no	—
783	Dic₁₃	—	4	1	no	—
784	Dic₁₃	—	4	1	no	—
785	Dic₁₃	—	4	1	no	—
786	Dic₁₃	—	4	1	no	—
787	Dic₁₃	—	4	1	no	—
788	Dic₁₃	—	4	1	no	—
789	Dic₁₃	—	4	1	no	—
790	Dic₁₃	—	4	1	no	—
791	Dic₁₃	—	4	1	no	—
792	Dic₁₃	—	4	1	no	—
793	Dic₁₃	—	4	1	no	—
794	Dic₁₃	—	4	1	no	—
795	Dic₁₃	—	4	1	no	—
796	Dic₁₃	#541	1	4	yes	—
797	C₂²×Q₈	—	13	1	no	—
798	C₂²×Q₈	C₂²×D₁₃	1	1	yes	characteristic
799	C₂³×C₄	—	13	1	no	—
800	C₄×Q₈	—	26	4	no	—
801	C₄×Q₈	—	26	4	no	—
802	#117	—	26	4	no	—
803	C₂×C₄⋊C₄	—	13	1	no	—
804	C₂×C₄⋊C₄	—	13	1	no	—
805	C₂×C₄⋊C₄	—	13	1	no	—
806	C₂×C₄⋊C₄	—	13	1	no	—
807	C₂×C₄⋊C₄	—	13	1	no	—
808	C₂×C₄⋊C₄	—	13	1	no	—
809	C₂×C₄⋊C₄	—	13	1	no	—
810	C₂×C₄⋊C₄	—	13	1	no	—
811	C₂×C₄⋊C₄	—	13	1	no	—
812	C₂×C₄⋊C₄	—	13	1	no	—
813	C₂×C₄⋊C₄	—	13	1	no	—
814	C₂×C₄⋊C₄	—	13	1	no	—
815	C₂×C₄⋊C₄	—	13	1	no	—
816	C₂×C₄⋊C₄	—	13	1	no	—
817	C₂×C₄⋊C₄	—	13	1	no	—
818	C₂×C₄⋊C₄	—	13	1	no	—
819	C₂×C₄⋊C₄	—	13	1	no	—
820	C₂×C₄⋊C₄	—	13	1	no	—
821	C₂×C₄⋊C₄	—	13	1	no	—
822	C₂×C₄⋊C₄	—	13	1	no	—
823	C₂×C₄⋊C₄	—	13	1	no	—
824	C₂×C₄⋊C₄	—	13	1	no	—
825	C₂×C₄⋊C₄	—	13	1	no	—
826	C₂×C₄⋊C₄	—	13	1	no	—
827	C₂×C₄⋊C₄	—	13	1	no	—
828	C₂×C₄⋊C₄	—	13	1	no	—
829	C₂×C₄⋊C₄	—	13	1	no	—
830	C₂×C₄⋊C₄	—	13	1	no	—
831	C₂×C₄⋊C₄	—	13	1	no	—
832	C₂×C₄⋊C₄	—	13	1	no	—
833	C₂×C₄⋊C₄	—	13	1	no	—
834	C₂×C₄⋊C₄	—	13	1	no	—
835	C₂×C₄⋊C₄	—	13	1	no	—
836	C₂×C₄⋊C₄	—	13	1	no	—
837	C₂×C₄⋊C₄	—	13	1	no	—
838	C₂×C₄⋊C₄	—	13	1	no	—
839	C₂×C₄⋊C₄	—	13	1	no	—
840	C₂×C₄⋊C₄	—	13	1	no	—
841	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
842	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
843	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
844	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
845	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
846	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
847	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
848	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
849	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
850	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
851	C₂×C₂²⋊C₄	—	13	1	no	—
852	C₂×C₂²⋊C₄	—	13	1	no	—
853	C₂×C₂²⋊C₄	—	13	1	no	—
854	C₂×C₂²⋊C₄	—	13	1	no	—
855	C₂×C₂²⋊C₄	—	13	1	no	—
856	C₂×C₂²⋊C₄	—	13	1	no	—
857	C₂×C₂²⋊C₄	—	13	1	no	—
858	C₂×C₂²⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
859	C₂×C₂²⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
860	C₂×C₂²⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
861	C₂×C₂²⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
862	C₂×C₂²⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
863	C₂×C₂²⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
864	C₂×C₂²⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
865	C₂×C₄²	—	13	1	no	—
866	C₂×C₄²	—	13	1	no	—
867	C₂×C₄²	—	13	1	no	—
868	C₂×C₄²	—	13	1	no	—
869	C₂×C₄²	—	13	1	no	—
870	C₂×C₄²	—	13	1	no	—
871	C₂×C₄²	—	13	1	no	—
872	C₂×C₄²	—	13	1	no	—
873	C₂×C₄²	—	13	1	no	—
874	C₂×C₄²	—	13	1	no	—
875	C₂×C₄²	—	13	1	no	—
876	C₂×C₄²	—	13	1	no	—
877	C₂×C₄²	—	13	1	no	—
878	C₂×C₄²	—	13	1	no	—
879	C₂×C₄²	—	13	1	no	—
880	C₂×C₄²	—	13	1	no	—
881	C₂×C₄²	—	13	1	no	—
882	C₂×C₄²	C₂²×D₁₃	1	1	yes	characteristic
883	#95	—	13	1	no	—
884	#95	—	13	1	no	—
885	#95	—	13	1	no	—
886	#95	—	13	1	no	—
887	#95	—	13	1	no	—
888	#95	—	13	1	no	—
889	#95	—	13	1	no	—
890	#95	—	13	1	no	—
891	#95	—	13	1	no	—
892	#95	—	13	1	no	—
893	#95	—	13	1	no	—
894	#95	—	13	1	no	—
895	#95	—	13	1	no	—
896	#95	—	13	1	no	—
897	#95	—	13	1	no	—
898	#95	—	13	1	no	—
899	#95	—	13	1	no	—
900	#95	—	13	1	no	—
901	#95	—	13	1	no	—
902	#95	—	13	1	no	—
903	#95	—	13	1	no	—
904	#95	—	13	1	no	—
905	#95	—	13	1	no	—
906	#95	—	13	1	no	—
907	#95	—	13	1	no	—
908	#95	—	13	1	no	—
909	#95	—	13	1	no	—
910	#95	—	13	1	no	—
911	#95	—	13	1	no	—
912	#95	—	13	1	no	—
913	#95	—	13	1	no	—
914	#95	—	13	1	no	—
915	#95	—	13	1	no	—
916	#95	—	13	1	no	—
917	#95	—	13	1	no	—
918	#95	—	13	1	no	—
919	#95	—	13	1	no	—
920	#95	—	13	1	no	—
921	#95	—	13	1	no	—
922	#95	—	13	1	no	—
923	#95	—	13	1	no	—
924	#95	—	13	1	no	—
925	#95	—	13	1	no	—
926	#95	—	13	1	no	—
927	#95	—	13	1	no	—
928	#95	—	13	1	no	—
929	#95	—	13	1	no	—
930	#95	—	13	1	no	—
931	#95	—	13	1	no	—
932	#95	—	13	1	no	—
933	#95	—	13	1	no	—
934	#95	—	13	1	no	—
935	#95	—	13	1	no	—
936	#95	—	13	1	no	—
937	#95	—	13	1	no	—
938	#95	—	13	1	no	—
939	#95	C₂²×D₁₃	1	1	yes	characteristic
940	#95	C₂²×D₁₃	1	1	yes	characteristic
941	#95	C₂²×D₁₃	1	1	yes	characteristic
942	#95	C₂²×D₁₃	1	1	yes	characteristic
943	#95	C₂²×D₁₃	1	1	yes	characteristic
944	#95	C₂²×D₁₃	1	1	yes	characteristic
945	#95	C₂²×D₁₃	1	1	yes	characteristic
946	#95	C₂²×D₁₃	1	1	yes	characteristic
947	#95	C₂²×D₁₃	1	1	yes	characteristic
948	#95	C₂²×D₁₃	1	1	yes	characteristic
949	#95	C₂²×D₁₃	1	1	yes	characteristic
950	#95	C₂²×D₁₃	1	1	yes	characteristic
951	#95	C₂²×D₁₃	1	1	yes	characteristic
952	#95	C₂²×D₁₃	1	1	yes	characteristic
953	#95	C₂²×D₁₃	1	1	yes	characteristic
954	#95	C₂²×D₁₃	1	1	yes	characteristic
955	C₂×C₁₃	—	8	1	no	—
956	C₂×C₁₃	C₂×#541	1	1	yes	characteristic
957	C₂×C₁₃	#3455	1	1	yes	characteristic
958	C₂×C₁₃	#3455	1	1	yes	characteristic
959	C₂×C₁₃	#3531	1	1	yes	characteristic
960	C₂×C₁₃	#3531	1	1	yes	characteristic
961	C₂×C₁₃	#3531	1	1	yes	characteristic
962	C₂×C₁₃	#3531	1	1	yes	characteristic
963	C₂⁴	C₂³×D₁₃	1	1	yes	characteristic
964	C₂×Q₈	—	2	2	no	—
965	C₂×Q₈	—	4	1	no	—
966	C₂×Q₈	—	4	1	no	—
967	C₂×Q₈	—	26	2	no	—
968	C₂×Q₈	—	52	1	no	—
969	C₂×Q₈	—	52	1	no	—
970	C₂²×C₄	—	13	1	no	—
971	C₂²×C₄	—	13	1	no	—
972	C₂²×C₄	—	13	1	no	—
973	C₂²×C₄	—	13	1	no	—
974	C₂²×C₄	—	13	1	no	—
975	C₂²×C₄	—	13	1	no	—
976	C₂²×C₄	—	13	1	no	—
977	C₂²×C₄	—	13	1	no	—
978	C₂²×C₄	—	13	1	no	—
979	C₂²×C₄	—	13	1	no	—
980	C₂²×C₄	—	13	1	no	—
981	C₂²×C₄	—	13	1	no	—
982	C₂²×C₄	—	13	1	no	—
983	C₂²×C₄	—	13	1	no	—
984	C₂²×C₄	—	13	1	no	—
985	C₂²×C₄	—	13	1	no	—
986	C₂²×C₄	—	26	2	no	—
987	C₂²×C₄	—	26	2	no	—
988	C₂²×C₄	—	26	2	no	—
989	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
990	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
991	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
992	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
993	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
994	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
995	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
996	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
997	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
998	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
999	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1000	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1001	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1002	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1003	C₄⋊C₄	—	2	2	no	—
1004	C₄⋊C₄	—	4	1	no	—
1005	C₄⋊C₄	—	4	1	no	—
1006	C₄⋊C₄	—	4	1	no	—
1007	C₄⋊C₄	—	4	1	no	—
1008	C₄⋊C₄	—	4	1	no	—
1009	C₄⋊C₄	—	4	1	no	—
1010	C₄⋊C₄	—	4	1	no	—
1011	C₄⋊C₄	—	4	1	no	—
1012	C₄⋊C₄	—	4	1	no	—
1013	C₄⋊C₄	—	26	2	no	—
1014	C₄⋊C₄	—	26	2	no	—
1015	C₄⋊C₄	—	26	2	no	—
1016	C₄⋊C₄	—	26	2	no	—
1017	C₄⋊C₄	—	26	2	no	—
1018	C₄⋊C₄	—	26	2	no	—
1019	C₄⋊C₄	—	26	2	no	—
1020	C₄⋊C₄	—	52	1	no	—
1021	C₄⋊C₄	—	52	1	no	—
1022	C₄⋊C₄	—	52	1	no	—
1023	C₄⋊C₄	—	52	1	no	—
1024	C₄⋊C₄	—	52	1	no	—
1025	C₄⋊C₄	—	52	1	no	—
1026	C₄⋊C₄	—	52	1	no	—
1027	C₄⋊C₄	—	52	1	no	—
1028	C₄⋊C₄	—	52	1	no	—
1029	C₄⋊C₄	—	52	1	no	—
1030	C₄⋊C₄	—	52	1	no	—
1031	C₄⋊C₄	—	52	1	no	—
1032	C₄⋊C₄	—	52	1	no	—
1033	C₄⋊C₄	—	52	1	no	—
1034	C₄⋊C₄	—	52	1	no	—
1035	C₄⋊C₄	—	52	1	no	—
1036	C₄⋊C₄	—	52	1	no	—
1037	C₄⋊C₄	—	52	1	no	—
1038	C₄⋊C₄	—	52	1	no	—
1039	C₄⋊C₄	—	52	1	no	—
1040	C₄⋊C₄	—	52	1	no	—
1041	C₄⋊C₄	—	52	1	no	—
1042	C₄⋊C₄	—	52	1	no	—
1043	C₄⋊C₄	—	52	1	no	—
1044	C₄⋊C₄	—	52	1	no	—
1045	C₄⋊C₄	—	52	1	no	—
1046	C₄⋊C₄	—	52	1	no	—
1047	C₄⋊C₄	—	52	1	no	—
1048	C₄⋊C₄	—	52	1	no	—
1049	C₄⋊C₄	—	52	1	no	—
1050	C₄⋊C₄	—	52	1	no	—
1051	C₂²⋊C₄	—	2	2	no	—
1052	C₂²⋊C₄	—	4	1	no	—
1053	C₂²⋊C₄	—	4	1	no	—
1054	C₂²⋊C₄	—	4	1	no	—
1055	C₂²⋊C₄	—	4	1	no	—
1056	C₂²⋊C₄	—	4	1	no	—
1057	C₂²⋊C₄	—	4	1	no	—
1058	C₂²⋊C₄	—	26	2	no	—
1059	C₂²⋊C₄	—	52	1	no	—
1060	C₂²⋊C₄	—	52	1	no	—
1061	C₂²⋊C₄	—	52	1	no	—
1062	C₂²⋊C₄	—	52	1	no	—
1063	C₂²⋊C₄	—	52	1	no	—
1064	C₂²⋊C₄	—	52	1	no	—
1065	C₄²	—	4	1	no	—
1066	C₄²	—	13	4	no	—
1067	C₄²	—	26	2	no	—
1068	C₄²	—	26	2	no	—
1069	C₄²	—	26	2	no	—
1070	C₄²	—	26	2	no	—
1071	C₄²	—	26	2	no	—
1072	C₄²	—	26	2	no	—
1073	C₄²	—	26	2	no	—
1074	C₄²	—	26	2	no	—
1075	C₄²	—	26	2	no	—
1076	C₄²	—	26	2	no	—
1077	C₄²	—	26	2	no	—
1078	C₄²	—	26	2	no	—
1079	C₄²	—	26	2	no	—
1080	C₄²	—	52	1	no	—
1081	C₄²	—	52	1	no	—
1082	C₄²	—	52	1	no	—
1083	C₁₃	#36700	1	1	yes	characteristic, complemented, Sylow
1084	C₂³	—	2	1	no	—
1085	C₂³	—	2	1	no	—
1086	C₂³	—	2	1	no	—
1087	C₂³	—	2	1	no	—
1088	C₂³	—	2	1	no	—
1089	C₂³	—	2	1	no	—
1090	C₂³	—	2	1	no	—
1091	C₂³	C₂⁴×D₁₃	1	1	yes	characteristic
1092	Q₈	—	4	4	no	—
1093	Q₈	—	52	4	no	—
1094	C₂×C₄	—	2	1	no	—
1095	C₂×C₄	—	2	1	no	—
1096	C₂×C₄	—	2	1	no	—
1097	C₂×C₄	—	2	1	no	—
1098	C₂×C₄	—	2	1	no	—
1099	C₂×C₄	—	2	1	no	—
1100	C₂×C₄	—	2	1	no	—
1101	C₂×C₄	—	2	1	no	—
1102	C₂×C₄	—	2	1	no	—
1103	C₂×C₄	—	2	1	no	—
1104	C₂×C₄	—	2	1	no	—
1105	C₂×C₄	—	2	1	no	—
1106	C₂×C₄	—	2	1	no	—
1107	C₂×C₄	—	2	1	no	—
1108	C₂×C₄	—	2	1	no	—
1109	C₂×C₄	—	2	1	no	—
1110	C₂×C₄	—	2	1	no	—
1111	C₂×C₄	—	2	1	no	—
1112	C₂×C₄	—	2	1	no	—
1113	C₂×C₄	—	2	1	no	—
1114	C₂×C₄	—	2	1	no	—
1115	C₂×C₄	—	2	1	no	—
1116	C₂×C₄	—	2	1	no	—
1117	C₂×C₄	—	2	1	no	—
1118	C₂×C₄	—	2	1	no	—
1119	C₂×C₄	—	2	1	no	—
1120	C₂×C₄	—	2	1	no	—
1121	C₂×C₄	—	2	1	no	—
1122	C₂×C₄	—	2	1	no	—
1123	C₂×C₄	—	2	1	no	—
1124	C₂×C₄	—	2	1	no	—
1125	C₂×C₄	—	2	1	no	—
1126	C₂×C₄	—	2	1	no	—
1127	C₂×C₄	—	2	1	no	—
1128	C₂×C₄	—	2	1	no	—
1129	C₂×C₄	—	2	1	no	—
1130	C₂×C₄	—	2	1	no	—
1131	C₂×C₄	—	2	1	no	—
1132	C₂×C₄	—	2	1	no	—
1133	C₂×C₄	—	2	1	no	—
1134	C₂×C₄	—	2	1	no	—
1135	C₂×C₄	—	13	2	no	—
1136	C₂×C₄	—	13	2	no	—
1137	C₂×C₄	—	13	2	no	—
1138	C₂×C₄	—	13	2	no	—
1139	C₂×C₄	—	26	1	no	—
1140	C₂×C₄	—	26	1	no	—
1141	C₂×C₄	—	26	1	no	—
1142	C₂×C₄	—	26	1	no	—
1143	C₂×C₄	—	26	1	no	—
1144	C₂×C₄	—	26	1	no	—
1145	C₂×C₄	—	26	1	no	—
1146	C₂×C₄	—	26	1	no	—
1147	C₂×C₄	—	26	1	no	—
1148	C₂×C₄	—	26	1	no	—
1149	C₂×C₄	—	26	1	no	—
1150	C₂×C₄	—	26	1	no	—
1151	C₂×C₄	—	26	1	no	—
1152	C₂×C₄	—	26	1	no	—
1153	C₂×C₄	—	26	1	no	—
1154	C₂×C₄	—	26	1	no	—
1155	C₂×C₄	—	26	1	no	—
1156	C₂×C₄	—	26	1	no	—
1157	C₂×C₄	—	26	1	no	—
1158	C₂×C₄	—	26	1	no	—
1159	C₂×C₄	—	26	1	no	—
1160	C₂×C₄	—	26	1	no	—
1161	C₂×C₄	—	26	1	no	—
1162	C₂×C₄	—	26	1	no	—
1163	C₂×C₄	—	26	1	no	—
1164	C₂×C₄	—	26	1	no	—
1165	C₂×C₄	—	26	1	no	—
1166	C₂×C₄	—	26	1	no	—
1167	C₂×C₄	—	26	1	no	—
1168	C₂×C₄	—	26	1	no	—
1169	C₂×C₄	—	26	1	no	—
1170	C₂×C₄	—	26	1	no	—
1171	C₂×C₄	—	26	1	no	—
1172	C₂×C₄	—	26	1	no	—
1173	C₂×C₄	—	26	1	no	—
1174	C₂×C₄	—	26	1	no	—
1175	C₂×C₄	—	26	1	no	—
1176	C₂×C₄	—	26	1	no	—
1177	C₂×C₄	—	26	1	no	—
1178	C₂×C₄	—	26	1	no	—
1179	C₂×C₄	—	26	1	no	—
1180	C₂×C₄	—	26	1	no	—
1181	C₂×C₄	—	26	1	no	—
1182	C₂×C₄	—	26	1	no	—
1183	C₂×C₄	—	52	4	no	—
1184	C₂×C₄	#41×D₁₃	1	2	yes	—
1185	C₂²	—	4	1	no	—
1186	C₂²	—	4	1	no	—
1187	C₂²	—	4	1	no	—
1188	C₂²	—	4	1	no	—
1189	C₂²	—	4	1	no	—
1190	C₂²	—	4	1	no	—
1191	C₂²	—	4	1	no	—
1192	C₂²	C₂×#41×D₁₃	1	1	yes	characteristic
1193	C₂²	#11719650	1	1	yes	characteristic
1194	C₂²	#11719650	1	1	yes	characteristic
1195	C₂²	#11719650	1	1	yes	characteristic
1196	C₂²	D₁₃×2₋¹⁺⁴	1	1	yes	characteristic
1197	C₂²	D₁₃×2₋¹⁺⁴	1	1	yes	characteristic
1198	C₂²	#11719652	1	1	yes	characteristic
1199	C₄	—	2	2	no	—
1200	C₄	—	4	1	no	—
1201	C₄	—	4	1	no	—
1202	C₄	—	4	1	no	—
1203	C₄	—	4	1	no	—
1204	C₄	—	4	1	no	—
1205	C₄	—	4	1	no	—
1206	C₄	—	4	1	no	—
1207	C₄	—	4	1	no	—
1208	C₄	—	4	1	no	—
1209	C₄	—	4	1	no	—
1210	C₄	—	4	1	no	—
1211	C₄	—	4	1	no	—
1212	C₄	—	4	1	no	—
1213	C₄	—	13	4	no	—
1214	C₄	—	26	2	no	—
1215	C₄	—	52	1	no	—
1216	C₄	—	52	1	no	—
1217	C₄	—	52	1	no	—
1218	C₄	—	52	1	no	—
1219	C₄	—	52	1	no	—
1220	C₄	—	52	1	no	—
1221	C₄	—	52	1	no	—
1222	C₄	—	52	1	no	—
1223	C₄	—	52	1	no	—
1224	C₄	—	52	1	no	—
1225	C₄	—	52	1	no	—
1226	C₄	—	52	1	no	—
1227	C₄	—	52	1	no	—
1228	C₄	—	52	1	no	—
1229	C₂	—	8	1	no	—
1230	C₂	D₁₃×#541	1	1	yes	characteristic
1231	C₂	#13128218	1	1	yes	characteristic
1232	C₂	#13128223	1	1	yes	characteristic
1233	C₂	#13128980	1	1	yes	characteristic
1234	C₂	#13128980	1	1	yes	characteristic
1235	C₂	#13128982	1	1	yes	characteristic
1236	C₂	#13128982	1	1	yes	characteristic

	subgroup	G/H
center, Frattini	C₂³	C₂⁴×D₁₃
commutator, socle, cosocle	C₂³×C₁₃	C₂⁵
Fitting	C₁₃×#2831	C₂
prime radical	C₂⁴×C₁₃	C₂⁴
hypercenter	#2831	D₁₃
hypocenter	C₁₃	#36700
LCS	G ▷ C₂³×C₁₃ ▷ C₁₃
UCS	C₁ ◁ C₂³ ◁ #2831

Complements

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

N	H ≅ G/N	type
1. #13123086	C₂	semidirect
2. #13123081	C₂	semidirect
3. #13123078	C₂	semidirect
4. #13123075	C₂	semidirect
9. #13123015	C₂	semidirect
10. #13123013	C₂	semidirect
11. #13123012	C₂	semidirect
12. #13123009	C₂	semidirect
16. #13118142	C₂	semidirect
17. #13118142	C₂	semidirect
18. #13118142	C₂	semidirect
19. #13118140	C₂	semidirect
20. #13118140	C₂	semidirect
25. #13118126	C₂	semidirect
29. #13117311	C₂	semidirect
30. #13117309	C₂	semidirect
1083. C₁₃	#36700	semidirect

Maximal subgroups

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

subgroup	index
#13123086	2
#13123081	2
#13123078	2
#13123075	2
#13123037	2
#13123036	2
#13123030	2
#13123029	2
#13123015	2
#13123013	2
#13123012	2
#13123009	2
#13122995	2
#13122992	2
#13122985	2
#13118142	2
#13118140	2
#13118138	2
#13118133	2
#13118126	2
#13118111	2
#13118103	2
#13117330	2
#13117311	2
#13117309	2
C₁₃×#2831	2
#36700	13