Subgroups — #16030317

Order 3328.

1570 conjugacy classes of subgroups.

The subgroup lattice has 1286 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#13121037	C₂	1	1	yes	maximal, characteristic
2	#13121036	C₂	1	1	yes	maximal, characteristic
3	#13121035	C₂	1	1	yes	maximal, characteristic
4	#13121034	C₂	1	1	yes	maximal, characteristic
5	#13121020	C₂	1	1	yes	maximal, characteristic, complemented
6	#13121019	C₂	1	1	yes	maximal, characteristic, complemented
7	#13121018	C₂	1	1	yes	maximal, characteristic, complemented
8	#13121017	C₂	1	1	yes	maximal, characteristic, complemented
9	#13121016	C₂	1	1	yes	maximal, characteristic, complemented
10	#13121015	C₂	1	1	yes	maximal, characteristic, complemented
11	#13121014	C₂	1	1	yes	maximal, characteristic, complemented
12	#13121013	C₂	1	1	yes	maximal, characteristic
13	#13121012	C₂	1	1	yes	maximal, characteristic
14	#13121011	C₂	1	1	yes	maximal, characteristic
15	#13121010	C₂	1	1	yes	maximal, characteristic
16	#13118142	C₂	1	1	yes	maximal, characteristic, complemented
17	#13118140	C₂	1	1	yes	maximal, characteristic, complemented
18	#13118128	C₂	1	1	yes	maximal, characteristic, complemented
19	#13118126	C₂	1	1	yes	maximal, characteristic, complemented
20	#13118113	C₂	1	1	yes	maximal, characteristic
21	#13118113	C₂	1	1	yes	maximal, characteristic
22	#13118109	C₂	1	1	yes	maximal, characteristic
23	#13118107	C₂	1	1	yes	maximal, characteristic
24	#13117311	C₂	1	1	yes	maximal, characteristic, complemented
25	#13117309	C₂	1	1	yes	maximal, characteristic, complemented
26	#13117309	C₂	1	1	yes	maximal, characteristic, complemented
27	#13117307	C₂	1	1	yes	maximal, characteristic, complemented
28	#13117233	C₂	1	1	yes	maximal, characteristic
29	#13117229	C₂	1	1	yes	maximal, characteristic
30	C₄×#88146	C₂	1	1	yes	maximal, characteristic
31	C₁₃×#2666	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂×Q₈×Dic₁₃	C₂²	1	1	yes	characteristic
33	C₂×#88146	C₂²	1	1	yes	characteristic
34	C₂×#88146	C₂²	1	1	yes	characteristic
35	C₂×#88141	C₂²	1	1	yes	characteristic
36	C₂×#88141	C₂²	1	1	yes	characteristic
37	C₂×#88141	C₂²	1	1	yes	characteristic
38	C₂×C₄²×D₁₃	C₂²	1	1	yes	characteristic
39	C₁₃×#400	C₂²	1	1	yes	characteristic
40	C₁₃×#400	C₂²	1	1	yes	characteristic
41	C₁₃×#398	C₂²	1	1	yes	characteristic
42	C₁₃×#398	C₂²	1	1	yes	characteristic
43	C₁₃×#398	C₂²	1	1	yes	characteristic
44	C₁₃×#398	C₂²	1	1	yes	characteristic
45	C₁₃×#395	C₂²	1	1	yes	characteristic
46	C₁₃×#395	C₂²	1	1	yes	characteristic
47	C₁₃×#391	C₂²	1	1	yes	characteristic
48	C₁₃×#389	C₂²	1	1	yes	characteristic
49	C₁₃×#387	C₂²	1	1	yes	characteristic
50	C₁₃×#387	C₂²	1	1	yes	characteristic
51	C₁₃×#383	C₂²	1	1	yes	characteristic
52	C₁₃×#382	C₂²	1	1	yes	characteristic
53	C₄×C₁₃×C₄⋊C₄	C₂²	1	1	yes	characteristic
54	#11718892	C₂²	1	1	yes	characteristic
55	#11718891	C₂²	1	1	yes	characteristic
56	#11718890	C₂²	1	1	yes	characteristic
57	#11718655	C₂²	1	1	yes	characteristic
58	#11718655	C₂²	1	1	yes	characteristic
59	#11718655	C₂²	1	1	yes	characteristic
60	#11718655	C₂²	1	1	yes	characteristic
61	#11718655	C₂²	1	1	yes	characteristic
62	#11718655	C₂²	1	1	yes	characteristic
63	#11718653	C₂²	1	1	yes	characteristic
64	#11718653	C₂²	1	1	yes	characteristic
65	#11718653	C₂²	1	1	yes	characteristic
66	#11718648	C₂²	1	1	yes	characteristic
67	#11718648	C₂²	1	1	yes	characteristic
68	#11718647	C₂²	1	1	yes	characteristic
69	#11718647	C₂²	1	1	yes	characteristic
70	#11718646	C₂²	1	1	yes	characteristic
71	#11718645	C₂²	1	1	yes	characteristic
72	#11718645	C₂²	1	1	yes	characteristic
73	#11718645	C₂²	1	1	yes	characteristic
74	#11718645	C₂²	1	1	yes	characteristic
75	#11718645	C₂²	1	1	yes	characteristic
76	#11718645	C₂²	1	1	yes	characteristic
77	#11718644	C₂²	1	1	yes	characteristic
78	#11718644	C₂²	1	1	yes	characteristic
79	#11718643	C₂²	1	1	yes	characteristic
80	#11718642	C₂²	1	1	yes	characteristic
81	#11718642	C₂²	1	1	yes	characteristic
82	#11718641	C₂²	1	1	yes	characteristic
83	#11718641	C₂²	1	1	yes	characteristic
84	#11718640	C₂²	1	1	yes	characteristic
85	#11718640	C₂²	1	1	yes	characteristic
86	#11718640	C₂²	1	1	yes	characteristic
87	#11718640	C₂²	1	1	yes	characteristic
88	#11718639	C₂²	1	1	yes	characteristic
89	#11718639	C₂²	1	1	yes	characteristic
90	C₄⋊C₄×Dic₁₃	C₂²	1	1	yes	characteristic
91	C₄⋊C₄×Dic₁₃	C₂²	1	1	yes	characteristic
92	C₄⋊C₄×Dic₁₃	C₂²	1	1	yes	characteristic
93	C₄⋊C₄×Dic₁₃	C₂²	1	1	yes	characteristic
94	C₄⋊C₄×Dic₁₃	C₂²	1	1	yes	characteristic
95	C₄⋊C₄×Dic₁₃	C₂²	1	1	yes	characteristic
96	C₄⋊C₄×Dic₁₃	C₂²	1	1	yes	characteristic
97	C₄⋊C₄×Dic₁₃	C₂²	1	1	yes	characteristic
98	C₄⋊C₄×Dic₁₃	C₂²	1	1	yes	characteristic
99	C₄⋊C₄×Dic₁₃	C₂²	1	1	yes	characteristic
100	#11718635	C₂²	1	1	yes	characteristic
101	#11718634	C₂²	1	1	yes	characteristic
102	#11718633	C₂²	1	1	yes	characteristic
103	#11718633	C₂²	1	1	yes	characteristic
104	C₄×#6103	C₂²	1	1	yes	characteristic
105	C₄×#6103	C₂²	1	1	yes	characteristic
106	#11718598	C₂²	1	1	yes	characteristic
107	#11718597	C₂²	1	1	yes	characteristic
108	C₄×C₄⋊Dic₁₃	C₂²	1	1	yes	characteristic
109	#11718594	C₂²	1	1	yes	characteristic
110	#11718594	C₂²	1	1	yes	characteristic
111	C₄²×Dic₁₃	C₂²	1	1	yes	characteristic
112	C₄²×Dic₁₃	C₂²	1	1	yes	characteristic
113	#11718590	C₂²	1	1	yes	characteristic
114	#11718589	C₂²	1	1	yes	characteristic
115	#11718338	C₂²	1	1	yes	characteristic
116	#11718337	C₂²	1	1	yes	characteristic
117	#11718337	C₂²	1	1	yes	characteristic
118	#11718334	C₂²	1	1	yes	characteristic
119	#11718334	C₂²	1	1	yes	characteristic
120	#11718334	C₂²	1	1	yes	characteristic
121	#11718328	C₂²	1	1	yes	characteristic
122	#11718328	C₂²	1	1	yes	characteristic
123	#11718327	C₂²	1	1	yes	characteristic
124	#11718327	C₂²	1	1	yes	characteristic
125	#11718327	C₂²	1	1	yes	characteristic
126	#11718327	C₂²	1	1	yes	characteristic
127	#11718327	C₂²	1	1	yes	characteristic
128	#11718327	C₂²	1	1	yes	characteristic
129	#11718325	C₂²	1	1	yes	characteristic
130	#11718325	C₂²	1	1	yes	characteristic
131	#11718325	C₂²	1	1	yes	characteristic
132	#11718325	C₂²	1	1	yes	characteristic
133	#11718322	C₂²	1	1	yes	characteristic
134	#11718322	C₂²	1	1	yes	characteristic
135	#11718322	C₂²	1	1	yes	characteristic
136	#11718322	C₂²	1	1	yes	characteristic
137	#11718321	C₂²	1	1	yes	characteristic
138	#11718321	C₂²	1	1	yes	characteristic
139	#11718321	C₂²	1	1	yes	characteristic
140	#11718321	C₂²	1	1	yes	characteristic
141	#11718320	C₂²	1	1	yes	characteristic
142	#11718319	C₂²	1	1	yes	characteristic
143	#11718319	C₂²	1	1	yes	characteristic
144	#11718318	C₂²	1	1	yes	characteristic
145	#11718318	C₂²	1	1	yes	characteristic
146	#11718318	C₂²	1	1	yes	characteristic
147	#11718318	C₂²	1	1	yes	characteristic
148	#11718318	C₂²	1	1	yes	characteristic
149	#11718318	C₂²	1	1	yes	characteristic
150	#11718317	C₂²	1	1	yes	characteristic
151	#11718317	C₂²	1	1	yes	characteristic
152	#11718317	C₂²	1	1	yes	characteristic
153	#11718317	C₂²	1	1	yes	characteristic
154	#11718317	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	#11718314	C₂²	1	1	yes	characteristic
160	#11718314	C₂²	1	1	yes	characteristic
161	#11718313	C₂²	1	1	yes	characteristic
162	#11718313	C₂²	1	1	yes	characteristic
163	#11718312	C₂²	1	1	yes	characteristic
164	#11718312	C₂²	1	1	yes	characteristic
165	#11718311	C₂²	1	1	yes	characteristic
166	#11718311	C₂²	1	1	yes	characteristic
167	#11718310	C₂²	1	1	yes	characteristic
168	#11718310	C₂²	1	1	yes	characteristic
169	#11718310	C₂²	1	1	yes	characteristic
170	#11718310	C₂²	1	1	yes	characteristic
171	#11718310	C₂²	1	1	yes	characteristic
172	#11718310	C₂²	1	1	yes	characteristic
173	#11718310	C₂²	1	1	yes	characteristic
174	#11718310	C₂²	1	1	yes	characteristic
175	#11718309	C₂²	1	1	yes	characteristic
176	#11718309	C₂²	1	1	yes	characteristic
177	#11718309	C₂²	1	1	yes	characteristic
178	#11718309	C₂²	1	1	yes	characteristic
179	#11718309	C₂²	1	1	yes	characteristic
180	#11718309	C₂²	1	1	yes	characteristic
181	#11718308	C₂²	1	1	yes	characteristic
182	#11718308	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	C₂²×Q₈×C₁₃	C₂³	1	1	yes	characteristic
188	C₂²×C₄×D₁₃	C₂³	1	1	yes	characteristic
189	C₂²×C₄×D₁₃	C₂³	1	1	yes	characteristic
190	C₂²×C₄×D₁₃	C₂³	1	1	yes	characteristic
191	C₂²×Dic₂₆	C₂³	1	1	yes	characteristic
192	C₂²×Dic₂₆	C₂³	1	1	yes	characteristic
193	C₂²×Dic₂₆	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×C₄⋊C₄	C₂³	1	1	yes	characteristic
201	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
202	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
203	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
204	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
205	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
206	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
207	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
208	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
209	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
210	Q₈×Dic₁₃	—	2	4	no	—
211	C₂×#6103	C₂³	1	1	yes	characteristic
212	C₂×#6103	C₂³	1	1	yes	characteristic
213	C₂×#6103	C₂³	1	1	yes	characteristic
214	C₂×#6103	C₂³	1	1	yes	characteristic
215	C₂×#6103	C₂³	1	1	yes	characteristic
216	C₂×#6103	C₂³	1	1	yes	characteristic
217	C₂×#6103	C₂³	1	1	yes	characteristic
218	C₂×#6103	C₂³	1	1	yes	characteristic
219	C₂×#6103	C₂³	1	1	yes	characteristic
220	C₂×#6103	C₂³	1	1	yes	characteristic
221	C₂×#6103	C₂³	1	1	yes	characteristic
222	C₂×#6103	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×C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic
229	C₂×C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic
230	C₂×C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic
231	C₂×C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic
232	C₂×C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic
233	C₂×C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic
234	C₂×C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic
235	C₂×C₄⋊Dic₁₃	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×#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×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	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
272	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
273	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
274	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
275	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
276	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
277	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
278	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
279	#88146	—	2	4	no	—
280	#88146	—	2	4	no	—
281	#88141	—	2	4	no	—
282	#88141	—	2	4	no	—
283	#88141	—	2	4	no	—
284	C₄²×D₁₃	Q₈	1	8	yes	complemented
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	C₁₃×#95	C₂³	1	1	yes	characteristic
290	C₁₃×#95	C₂³	1	1	yes	characteristic
291	C₁₃×#95	C₂³	1	1	yes	characteristic
292	C₁₃×#95	C₂³	1	1	yes	characteristic
293	C₁₃×#95	C₂³	1	1	yes	characteristic
294	C₁₃×#95	C₂³	1	1	yes	characteristic
295	C₁₃×#95	C₂³	1	1	yes	characteristic
296	C₁₃×#95	C₂³	1	1	yes	characteristic
297	C₁₃×#95	C₂³	1	1	yes	characteristic
298	C₁₃×#95	C₂³	1	1	yes	characteristic
299	C₁₃×#95	C₂³	1	1	yes	characteristic
300	C₁₃×#95	C₂³	1	1	yes	characteristic
301	C₁₃×#95	C₂³	1	1	yes	characteristic
302	C₁₃×#95	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	#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	#34644	—	13	1	no	maximal, Sylow
350	C₂³×D₁₃	C₂⁴	1	1	yes	characteristic
351	C₂×Q₈×C₁₃	—	2	2	no	—
352	C₂×Q₈×C₁₃	—	4	1	no	—
353	C₂×Q₈×C₁₃	—	4	1	no	—
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×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
365	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
366	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
367	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
368	C₂²×C₄×C₁₃	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	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
384	C₂×C₄×D₁₃	—	2	2	no	—
385	C₂×C₄×D₁₃	—	2	2	no	—
386	C₂×C₄×D₁₃	—	4	1	no	—
387	C₂×C₄×D₁₃	—	4	1	no	—
388	C₂×C₄×D₁₃	—	4	1	no	—
389	C₂×C₄×D₁₃	—	4	1	no	—
390	C₂×C₄×D₁₃	C₂×Q₈	1	4	yes	—
391	C₂×C₄×D₁₃	C₂×Q₈	1	4	yes	—
392	C₂×C₄×D₁₃	C₂×Q₈	1	4	yes	—
393	C₂×Dic₂₆	—	2	2	no	—
394	C₂×Dic₂₆	—	2	2	no	—
395	C₂×Dic₂₆	—	2	2	no	—
396	C₂×Dic₂₆	—	4	1	no	—
397	C₂×Dic₂₆	—	4	1	no	—
398	C₂×Dic₂₆	—	4	1	no	—
399	C₂×Dic₂₆	—	4	1	no	—
400	C₂×Dic₂₆	—	4	1	no	—
401	C₂×Dic₂₆	—	4	1	no	—
402	C₁₃×C₄⋊C₄	—	2	2	no	—
403	C₁₃×C₄⋊C₄	—	2	2	no	—
404	C₁₃×C₄⋊C₄	—	2	2	no	—
405	C₁₃×C₄⋊C₄	—	2	2	no	—
406	C₁₃×C₄⋊C₄	—	2	2	no	—
407	C₁₃×C₄⋊C₄	—	4	1	no	—
408	C₁₃×C₄⋊C₄	—	4	1	no	—
409	C₁₃×C₄⋊C₄	—	4	1	no	—
410	C₁₃×C₄⋊C₄	—	4	1	no	—
411	C₁₃×C₄⋊C₄	—	4	1	no	—
412	C₁₃×C₄⋊C₄	—	4	1	no	—
413	C₁₃×C₄⋊C₄	—	4	1	no	—
414	C₁₃×C₄⋊C₄	—	4	1	no	—
415	C₄²×C₁₃	—	4	1	no	—
416	C₄²×C₁₃	—	4	1	no	—
417	C₄²×C₁₃	C₂×Q₈	1	4	yes	—
418	#6103	—	2	2	no	—
419	#6103	—	2	2	no	—
420	#6103	—	2	2	no	—
421	#6103	—	2	2	no	—
422	#6103	—	4	1	no	—
423	#6103	—	4	1	no	—
424	#6103	—	4	1	no	—
425	#6103	—	4	1	no	—
426	#6103	—	4	1	no	—
427	#6103	—	4	1	no	—
428	#6103	—	4	1	no	—
429	#6103	—	4	1	no	—
430	C₄⋊Dic₁₃	—	2	2	no	—
431	C₄⋊Dic₁₃	—	2	2	no	—
432	C₄⋊Dic₁₃	—	2	2	no	—
433	C₄⋊Dic₁₃	—	2	2	no	—
434	C₄⋊Dic₁₃	—	2	2	no	—
435	C₄⋊Dic₁₃	—	4	1	no	—
436	C₄⋊Dic₁₃	—	4	1	no	—
437	C₄⋊Dic₁₃	—	4	1	no	—
438	C₄⋊Dic₁₃	—	4	1	no	—
439	C₄⋊Dic₁₃	—	4	1	no	—
440	C₄⋊Dic₁₃	—	4	1	no	—
441	C₄⋊Dic₁₃	—	4	1	no	—
442	C₄⋊Dic₁₃	—	4	1	no	—
443	#6101	—	2	2	no	—
444	#6101	—	2	2	no	—
445	#6101	—	2	2	no	—
446	#6101	—	2	2	no	—
447	#6101	—	2	2	no	—
448	#6101	—	2	2	no	—
449	#6101	—	4	1	no	—
450	#6101	—	4	1	no	—
451	#6101	—	4	1	no	—
452	#6101	—	4	1	no	—
453	#6101	—	4	1	no	—
454	#6101	—	4	1	no	—
455	#6101	—	4	1	no	—
456	#6101	—	4	1	no	—
457	#6101	—	4	1	no	—
458	#6101	—	4	1	no	—
459	#6101	—	4	1	no	—
460	#6101	—	4	1	no	—
461	#6101	—	4	1	no	—
462	#6101	—	4	1	no	—
463	#6101	—	4	1	no	—
464	#6101	—	4	1	no	—
465	C₄×Dic₁₃	—	2	2	no	—
466	C₄×Dic₁₃	—	2	2	no	—
467	C₄×Dic₁₃	—	2	2	no	—
468	C₄×Dic₁₃	—	2	2	no	—
469	C₄×Dic₁₃	—	2	2	no	—
470	C₄×Dic₁₃	—	2	2	no	—
471	C₄×Dic₁₃	—	2	2	no	—
472	C₄×Dic₁₃	—	2	2	no	—
473	C₄×Dic₁₃	—	2	2	no	—
474	C₄×Dic₁₃	—	2	2	no	—
475	C₄×Dic₁₃	—	4	1	no	—
476	C₄×Dic₁₃	—	4	1	no	—
477	C₄×Dic₁₃	—	4	1	no	—
478	C₄×Dic₁₃	—	4	1	no	—
479	C₄×Dic₁₃	—	4	1	no	—
480	C₄×Dic₁₃	—	4	1	no	—
481	C₄×Dic₁₃	C₂×Q₈	1	4	yes	—
482	C₄×Dic₁₃	C₂×Q₈	1	4	yes	—
483	C₄×Dic₁₃	C₂×Q₈	1	4	yes	—
484	C₄×Dic₁₃	#41	1	4	yes	—
485	C₄×Dic₁₃	#41	1	4	yes	—
486	#2667	—	13	1	no	—
487	#2667	—	13	1	no	—
488	#2667	—	13	1	no	—
489	#2667	—	13	1	no	—
490	#2666	—	13	1	no	—
491	#2666	—	13	1	no	—
492	#2666	—	13	1	no	—
493	#2666	—	13	1	no	—
494	#2666	—	13	1	no	—
495	#2666	—	13	1	no	—
496	#2666	—	13	1	no	—
497	#2666	D₁₃	1	1	yes	characteristic, complemented
498	#2665	—	13	1	no	—
499	#2665	—	13	1	no	—
500	#2665	—	13	1	no	—
501	#2665	—	13	1	no	—
502	#2402	—	13	1	no	—
503	#2402	—	13	1	no	—
504	#2399	—	13	1	no	—
505	#2399	—	13	1	no	—
506	#2396	—	13	1	no	—
507	#2396	—	13	1	no	—
508	#2396	—	13	1	no	—
509	#2396	—	13	1	no	—
510	#2295	—	13	1	no	—
511	#2295	—	13	1	no	—
512	#2295	—	13	1	no	—
513	#2295	—	13	1	no	—
514	#2283	—	13	1	no	—
515	#2283	—	13	1	no	—
516	C₄×#117	—	13	1	no	—
517	C₂³×C₁₃	C₂⁵	1	1	yes	characteristic
518	C₂²×D₁₃	—	2	1	no	—
519	C₂²×D₁₃	—	2	1	no	—
520	C₂²×D₁₃	—	2	1	no	—
521	C₂²×D₁₃	—	2	1	no	—
522	C₂²×D₁₃	—	2	1	no	—
523	C₂²×D₁₃	—	2	1	no	—
524	C₂²×D₁₃	C₂²×Q₈	1	2	yes	—
525	Q₈×C₁₃	—	4	4	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	—	2	1	no	—
548	C₂×C₄×C₁₃	—	2	1	no	—
549	C₂×C₄×C₁₃	—	2	1	no	—
550	C₂×C₄×C₁₃	—	2	1	no	—
551	C₂×C₄×C₁₃	—	2	1	no	—
552	C₂×C₄×C₁₃	—	2	1	no	—
553	C₂×C₄×C₁₃	—	2	1	no	—
554	C₂×C₄×C₁₃	—	2	1	no	—
555	C₂×C₄×C₁₃	—	2	1	no	—
556	C₂×C₄×C₁₃	—	2	1	no	—
557	C₂×C₄×C₁₃	—	2	1	no	—
558	C₂×C₄×C₁₃	—	2	1	no	—
559	C₂×C₄×C₁₃	—	2	1	no	—
560	C₂×C₄×C₁₃	—	2	1	no	—
561	C₂×C₄×C₁₃	—	2	1	no	—
562	C₂×C₄×C₁₃	—	2	1	no	—
563	C₂×C₄×C₁₃	—	2	1	no	—
564	C₂×C₄×C₁₃	—	2	1	no	—
565	C₂×C₄×C₁₃	—	2	1	no	—
566	C₂×C₄×C₁₃	C₂²×Q₈	1	2	yes	—
567	C₂×C₄×C₁₃	C₂²×Q₈	1	2	yes	—
568	C₂×C₄×C₁₃	C₂²×Q₈	1	2	yes	—
569	C₂×C₄×C₁₃	C₂×#41	1	2	yes	—
570	C₂×C₄×C₁₃	C₂×#41	1	2	yes	—
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	—	2	1	no	—
593	C₂×Dic₁₃	—	2	1	no	—
594	C₂×Dic₁₃	—	2	1	no	—
595	C₂×Dic₁₃	—	2	1	no	—
596	C₂×Dic₁₃	—	2	1	no	—
597	C₂×Dic₁₃	—	2	1	no	—
598	C₂×Dic₁₃	—	2	1	no	—
599	C₂×Dic₁₃	—	2	1	no	—
600	C₂×Dic₁₃	—	2	1	no	—
601	C₂×Dic₁₃	—	2	1	no	—
602	C₂×Dic₁₃	—	2	1	no	—
603	C₂×Dic₁₃	—	2	1	no	—
604	C₂×Dic₁₃	—	2	1	no	—
605	C₂×Dic₁₃	—	2	1	no	—
606	C₂×Dic₁₃	—	2	1	no	—
607	C₂×Dic₁₃	—	2	1	no	—
608	C₂×Dic₁₃	—	2	1	no	—
609	C₂×Dic₁₃	C₂²×Q₈	1	2	yes	—
610	C₂×Dic₁₃	C₂²×Q₈	1	2	yes	—
611	C₂×Dic₁₃	C₂²×Q₈	1	2	yes	—
612	C₂×Dic₁₃	C₂×#41	1	2	yes	—
613	C₂×Dic₁₃	C₂×#41	1	2	yes	—
614	C₂×Dic₁₃	C₂×#41	1	2	yes	—
615	C₂×Dic₁₃	C₂×#41	1	2	yes	—
616	C₄×D₁₃	—	2	8	no	—
617	C₄×D₁₃	—	4	4	no	—
618	C₄×D₁₃	—	4	4	no	—
619	Dic₂₆	—	4	4	no	—
620	Dic₂₆	—	4	4	no	—
621	Dic₂₆	—	4	4	no	—
622	C₂×C₄×Q₈	—	13	1	no	—
623	C₂×C₄×Q₈	—	13	1	no	—
624	C₂×C₄×Q₈	—	13	1	no	—
625	C₂×C₄×Q₈	—	13	1	no	—
626	C₂×#117	—	13	1	no	—
627	C₂×#117	—	13	1	no	—
628	C₂²×C₄²	—	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	—	13	1	no	—
637	#400	—	13	1	no	—
638	#400	—	13	1	no	—
639	#400	C₂×D₁₃	1	1	yes	characteristic
640	#400	C₂×D₁₃	1	1	yes	characteristic
641	#399	—	13	1	no	—
642	#399	—	13	1	no	—
643	#399	—	13	1	no	—
644	#399	—	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	C₂×D₁₃	1	1	yes	characteristic
666	#398	C₂×D₁₃	1	1	yes	characteristic
667	#398	C₂×D₁₃	1	1	yes	characteristic
668	#398	C₂×D₁₃	1	1	yes	characteristic
669	#396	—	13	1	no	—
670	#396	—	13	1	no	—
671	#396	—	13	1	no	—
672	#396	—	13	1	no	—
673	#396	—	13	1	no	—
674	#396	—	13	1	no	—
675	#396	—	13	1	no	—
676	#396	—	13	1	no	—
677	#395	—	13	1	no	—
678	#395	—	13	1	no	—
679	#395	—	13	1	no	—
680	#395	—	13	1	no	—
681	#395	—	13	1	no	—
682	#395	—	13	1	no	—
683	#395	—	13	1	no	—
684	#395	—	13	1	no	—
685	#395	—	13	1	no	—
686	#395	—	13	1	no	—
687	#395	C₂×D₁₃	1	1	yes	characteristic
688	#395	C₂×D₁₃	1	1	yes	characteristic
689	#393	—	13	1	no	—
690	#393	—	13	1	no	—
691	#393	—	13	1	no	—
692	#393	—	13	1	no	—
693	#391	—	13	1	no	—
694	#391	—	13	1	no	—
695	#391	—	13	1	no	—
696	#391	—	13	1	no	—
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	#389	—	13	1	no	—
706	#389	—	13	1	no	—
707	#389	—	13	1	no	—
708	#389	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	—	13	1	no	—
721	#387	—	13	1	no	—
722	#387	—	13	1	no	—
723	#387	C₂×D₁₃	1	1	yes	characteristic
724	#387	C₂×D₁₃	1	1	yes	characteristic
725	#383	—	13	1	no	—
726	#383	—	13	1	no	—
727	#383	—	13	1	no	—
728	#383	C₂×D₁₃	1	1	yes	characteristic
729	#382	—	13	1	no	—
730	#382	—	13	1	no	—
731	#382	—	13	1	no	—
732	#382	C₂×D₁₃	1	1	yes	characteristic
733	#381	—	13	1	no	—
734	#381	—	13	1	no	—
735	#381	—	13	1	no	—
736	#381	—	13	1	no	—
737	#380	—	13	1	no	—
738	#380	—	13	1	no	—
739	#380	—	13	1	no	—
740	#380	—	13	1	no	—
741	C₄×C₄⋊C₄	—	13	1	no	—
742	C₄×C₄⋊C₄	—	13	1	no	—
743	C₄×C₄⋊C₄	—	13	1	no	—
744	C₄×C₄⋊C₄	—	13	1	no	—
745	C₄×C₄⋊C₄	—	13	1	no	—
746	C₄×C₄⋊C₄	—	13	1	no	—
747	C₄×C₄⋊C₄	—	13	1	no	—
748	C₄×C₄⋊C₄	—	13	1	no	—
749	C₄×C₄⋊C₄	—	13	1	no	—
750	C₄×C₄⋊C₄	—	13	1	no	—
751	C₄×C₄⋊C₄	—	13	1	no	—
752	C₄×C₄⋊C₄	—	13	1	no	—
753	C₄×C₄⋊C₄	—	13	1	no	—
754	C₄×C₄⋊C₄	—	13	1	no	—
755	C₄×C₄⋊C₄	—	13	1	no	—
756	C₄×C₄⋊C₄	—	13	1	no	—
757	C₄×C₄⋊C₄	—	13	1	no	—
758	C₄×C₄⋊C₄	—	13	1	no	—
759	C₄×C₄⋊C₄	—	13	1	no	—
760	C₄×C₄⋊C₄	C₂×D₁₃	1	1	yes	characteristic
761	C₄×C₂²⋊C₄	—	13	1	no	—
762	C₄×C₂²⋊C₄	—	13	1	no	—
763	C₄×C₂²⋊C₄	—	13	1	no	—
764	C₄×C₂²⋊C₄	—	13	1	no	—
765	C₄×C₂²⋊C₄	—	13	1	no	—
766	C₄×C₂²⋊C₄	—	13	1	no	—
767	C₄×C₂²⋊C₄	—	13	1	no	—
768	C₄×C₂²⋊C₄	—	13	1	no	—
769	#376	—	13	1	no	—
770	#376	—	13	1	no	—
771	#376	—	13	1	no	—
772	#376	—	13	1	no	—
773	#376	—	13	1	no	—
774	#376	—	13	1	no	—
775	C₄³	—	13	1	no	—
776	C₄³	—	13	1	no	—
777	C₂²×C₁₃	C₂³×Q₈	1	1	yes	characteristic
778	C₂²×C₁₃	C₂²×#41	1	1	yes	characteristic
779	C₂²×C₁₃	C₂²×#41	1	1	yes	characteristic
780	C₂²×C₁₃	#585	1	1	yes	characteristic
781	C₂²×C₁₃	#585	1	1	yes	characteristic
782	C₂²×C₁₃	#585	1	1	yes	characteristic
783	C₂²×C₁₃	#585	1	1	yes	characteristic
784	C₂×D₁₃	—	2	2	no	—
785	C₂×D₁₃	—	2	2	no	—
786	C₂×D₁₃	—	2	2	no	—
787	C₂×D₁₃	—	4	1	no	—
788	C₂×D₁₃	—	4	1	no	—
789	C₂×D₁₃	—	4	1	no	—
790	C₂×D₁₃	—	4	1	no	—
791	C₄×C₁₃	—	2	2	no	—
792	C₄×C₁₃	—	2	2	no	—
793	C₄×C₁₃	—	2	2	no	—
794	C₄×C₁₃	—	2	2	no	—
795	C₄×C₁₃	—	2	2	no	—
796	C₄×C₁₃	—	4	1	no	—
797	C₄×C₁₃	—	4	1	no	—
798	C₄×C₁₃	—	4	1	no	—
799	C₄×C₁₃	—	4	1	no	—
800	C₄×C₁₃	—	4	1	no	—
801	C₄×C₁₃	—	4	1	no	—
802	C₄×C₁₃	—	4	1	no	—
803	C₄×C₁₃	—	4	1	no	—
804	C₄×C₁₃	—	4	1	no	—
805	C₄×C₁₃	—	4	1	no	—
806	Dic₁₃	—	2	2	no	—
807	Dic₁₃	—	2	2	no	—
808	Dic₁₃	—	2	2	no	—
809	Dic₁₃	—	2	2	no	—
810	Dic₁₃	—	4	1	no	—
811	Dic₁₃	—	4	1	no	—
812	Dic₁₃	—	4	1	no	—
813	Dic₁₃	—	4	1	no	—
814	Dic₁₃	—	4	1	no	—
815	Dic₁₃	—	4	1	no	—
816	Dic₁₃	—	4	1	no	—
817	Dic₁₃	—	4	1	no	—
818	Dic₁₃	—	4	1	no	—
819	Dic₁₃	—	4	1	no	—
820	Dic₁₃	#533	1	4	yes	—
821	C₂²×Q₈	—	13	1	no	—
822	C₂²×Q₈	—	13	1	no	—
823	C₂²×Q₈	—	13	1	no	—
824	C₂²×Q₈	C₂²×D₁₃	1	1	yes	characteristic
825	C₂³×C₄	—	13	1	no	—
826	C₂³×C₄	—	13	1	no	—
827	C₂³×C₄	—	13	1	no	—
828	C₄×Q₈	—	26	4	no	—
829	C₄×Q₈	—	26	4	no	—
830	C₄×Q₈	—	26	4	no	—
831	C₄×Q₈	—	26	4	no	—
832	#117	—	26	4	no	—
833	#117	—	26	4	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	—	13	1	no	—
842	C₂×C₄⋊C₄	—	13	1	no	—
843	C₂×C₄⋊C₄	—	13	1	no	—
844	C₂×C₄⋊C₄	—	13	1	no	—
845	C₂×C₄⋊C₄	—	13	1	no	—
846	C₂×C₄⋊C₄	—	13	1	no	—
847	C₂×C₄⋊C₄	—	13	1	no	—
848	C₂×C₄⋊C₄	—	13	1	no	—
849	C₂×C₄⋊C₄	—	13	1	no	—
850	C₂×C₄⋊C₄	—	13	1	no	—
851	C₂×C₄⋊C₄	—	13	1	no	—
852	C₂×C₄⋊C₄	—	13	1	no	—
853	C₂×C₄⋊C₄	—	13	1	no	—
854	C₂×C₄⋊C₄	—	13	1	no	—
855	C₂×C₄⋊C₄	—	13	1	no	—
856	C₂×C₄⋊C₄	—	13	1	no	—
857	C₂×C₄⋊C₄	—	13	1	no	—
858	C₂×C₄⋊C₄	—	13	1	no	—
859	C₂×C₄⋊C₄	—	13	1	no	—
860	C₂×C₄⋊C₄	—	13	1	no	—
861	C₂×C₄⋊C₄	—	13	1	no	—
862	C₂×C₄⋊C₄	—	13	1	no	—
863	C₂×C₄⋊C₄	—	13	1	no	—
864	C₂×C₄⋊C₄	—	13	1	no	—
865	C₂×C₄⋊C₄	—	13	1	no	—
866	C₂×C₄⋊C₄	—	13	1	no	—
867	C₂×C₄⋊C₄	—	13	1	no	—
868	C₂×C₄⋊C₄	—	13	1	no	—
869	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
870	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
871	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
872	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
873	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
874	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
875	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
876	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
877	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
878	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
879	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
880	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
881	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
882	C₂×C₂²⋊C₄	—	13	1	no	—
883	C₂×C₂²⋊C₄	—	13	1	no	—
884	C₂×C₂²⋊C₄	—	13	1	no	—
885	C₂×C₂²⋊C₄	—	13	1	no	—
886	C₂×C₂²⋊C₄	—	13	1	no	—
887	C₂×C₂²⋊C₄	—	13	1	no	—
888	C₂×C₂²⋊C₄	—	13	1	no	—
889	C₂×C₂²⋊C₄	—	13	1	no	—
890	C₂×C₂²⋊C₄	—	13	1	no	—
891	C₂×C₂²⋊C₄	—	13	1	no	—
892	C₂×C₂²⋊C₄	—	13	1	no	—
893	C₂×C₂²⋊C₄	—	13	1	no	—
894	C₂×C₄²	—	13	1	no	—
895	C₂×C₄²	—	13	1	no	—
896	C₂×C₄²	—	13	1	no	—
897	C₂×C₄²	—	13	1	no	—
898	C₂×C₄²	—	13	1	no	—
899	C₂×C₄²	—	13	8	no	—
900	C₂×C₄²	—	13	1	no	—
901	C₂×C₄²	—	13	1	no	—
902	C₂×C₄²	—	13	1	no	—
903	C₂×C₄²	—	13	1	no	—
904	C₂×C₄²	—	13	1	no	—
905	C₂×C₄²	—	13	1	no	—
906	C₂×C₄²	—	13	1	no	—
907	C₂×C₄²	—	13	1	no	—
908	C₂×C₄²	—	13	1	no	—
909	C₂×C₄²	—	13	1	no	—
910	C₂×C₄²	—	13	1	no	—
911	C₂×C₄²	—	13	1	no	—
912	C₂×C₄²	—	13	1	no	—
913	C₂×C₄²	—	13	1	no	—
914	C₂×C₄²	—	13	1	no	—
915	C₂×C₄²	—	13	1	no	—
916	C₂×C₄²	C₂²×D₁₃	1	1	yes	characteristic
917	C₂×C₄²	C₂²×D₁₃	1	1	yes	characteristic
918	C₂×C₄²	C₂²×D₁₃	1	1	yes	characteristic
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	—	13	1	no	—
940	#95	—	13	1	no	—
941	#95	—	13	1	no	—
942	#95	—	13	1	no	—
943	#95	—	13	1	no	—
944	#95	—	13	1	no	—
945	#95	—	13	1	no	—
946	#95	—	13	1	no	—
947	#95	—	13	1	no	—
948	#95	—	13	1	no	—
949	#95	—	13	1	no	—
950	#95	—	13	1	no	—
951	#95	—	13	1	no	—
952	#95	—	13	1	no	—
953	#95	—	13	1	no	—
954	#95	—	13	1	no	—
955	#95	—	13	1	no	—
956	#95	—	13	1	no	—
957	#95	—	13	1	no	—
958	#95	—	13	1	no	—
959	#95	—	13	1	no	—
960	#95	—	13	1	no	—
961	#95	—	13	1	no	—
962	#95	—	13	1	no	—
963	#95	—	13	1	no	—
964	#95	—	13	1	no	—
965	#95	C₂²×D₁₃	1	1	yes	characteristic
966	#95	C₂²×D₁₃	1	1	yes	characteristic
967	#95	C₂²×D₁₃	1	1	yes	characteristic
968	#95	C₂²×D₁₃	1	1	yes	characteristic
969	#95	C₂²×D₁₃	1	1	yes	characteristic
970	#95	C₂²×D₁₃	1	1	yes	characteristic
971	#95	C₂²×D₁₃	1	1	yes	characteristic
972	#95	C₂²×D₁₃	1	1	yes	characteristic
973	#95	C₂²×D₁₃	1	1	yes	characteristic
974	#95	C₂²×D₁₃	1	1	yes	characteristic
975	#95	C₂²×D₁₃	1	1	yes	characteristic
976	#95	C₂²×D₁₃	1	1	yes	characteristic
977	#95	C₂²×D₁₃	1	1	yes	characteristic
978	#95	C₂²×D₁₃	1	1	yes	characteristic
979	#95	C₂²×D₁₃	1	1	yes	characteristic
980	#95	C₂²×D₁₃	1	1	yes	characteristic
981	#95	C₂²×D₁₃	1	1	yes	characteristic
982	#95	C₂²×D₁₃	1	1	yes	characteristic
983	C₂×C₁₃	C₂×#533	1	1	yes	characteristic
984	C₂×C₁₃	#3455	1	1	yes	characteristic
985	C₂×C₁₃	#3455	1	1	yes	characteristic
986	C₂×C₁₃	#3455	1	1	yes	characteristic
987	C₂×C₁₃	#3455	1	1	yes	characteristic
988	C₂×C₁₃	#3458	1	1	yes	characteristic
989	C₂×C₁₃	#3458	1	1	yes	characteristic
990	D₁₃	—	4	2	no	—
991	C₂⁴	—	13	1	no	—
992	C₂×Q₈	—	2	2	no	—
993	C₂×Q₈	—	4	1	no	—
994	C₂×Q₈	—	4	1	no	—
995	C₂×Q₈	—	26	2	no	—
996	C₂×Q₈	—	26	2	no	—
997	C₂×Q₈	—	26	2	no	—
998	C₂×Q₈	—	52	1	no	—
999	C₂×Q₈	—	52	1	no	—
1000	C₂×Q₈	—	52	1	no	—
1001	C₂×Q₈	—	52	1	no	—
1002	C₂×Q₈	—	52	1	no	—
1003	C₂×Q₈	—	52	1	no	—
1004	C₂²×C₄	—	13	1	no	—
1005	C₂²×C₄	—	13	1	no	—
1006	C₂²×C₄	—	13	1	no	—
1007	C₂²×C₄	—	13	1	no	—
1008	C₂²×C₄	—	13	1	no	—
1009	C₂²×C₄	—	13	4	no	—
1010	C₂²×C₄	—	13	4	no	—
1011	C₂²×C₄	—	13	4	no	—
1012	C₂²×C₄	—	13	1	no	—
1013	C₂²×C₄	—	13	1	no	—
1014	C₂²×C₄	—	13	1	no	—
1015	C₂²×C₄	—	13	1	no	—
1016	C₂²×C₄	—	13	1	no	—
1017	C₂²×C₄	—	13	1	no	—
1018	C₂²×C₄	—	13	1	no	—
1019	C₂²×C₄	—	13	1	no	—
1020	C₂²×C₄	—	13	1	no	—
1021	C₂²×C₄	—	13	1	no	—
1022	C₂²×C₄	—	26	2	no	—
1023	C₂²×C₄	—	26	2	no	—
1024	C₂²×C₄	—	52	1	no	—
1025	C₂²×C₄	—	52	1	no	—
1026	C₂²×C₄	—	52	1	no	—
1027	C₂²×C₄	—	52	1	no	—
1028	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1029	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1030	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1031	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1032	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1033	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1034	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1035	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1036	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1037	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1038	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1039	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1040	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1041	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1042	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1043	C₄⋊C₄	—	2	2	no	—
1044	C₄⋊C₄	—	2	2	no	—
1045	C₄⋊C₄	—	2	2	no	—
1046	C₄⋊C₄	—	2	2	no	—
1047	C₄⋊C₄	—	2	2	no	—
1048	C₄⋊C₄	—	4	1	no	—
1049	C₄⋊C₄	—	4	1	no	—
1050	C₄⋊C₄	—	4	1	no	—
1051	C₄⋊C₄	—	4	1	no	—
1052	C₄⋊C₄	—	4	1	no	—
1053	C₄⋊C₄	—	4	1	no	—
1054	C₄⋊C₄	—	4	1	no	—
1055	C₄⋊C₄	—	4	1	no	—
1056	C₄⋊C₄	—	26	2	no	—
1057	C₄⋊C₄	—	26	2	no	—
1058	C₄⋊C₄	—	26	2	no	—
1059	C₄⋊C₄	—	26	2	no	—
1060	C₄⋊C₄	—	26	2	no	—
1061	C₄⋊C₄	—	26	2	no	—
1062	C₄⋊C₄	—	26	2	no	—
1063	C₄⋊C₄	—	26	2	no	—
1064	C₄⋊C₄	—	26	2	no	—
1065	C₄⋊C₄	—	26	2	no	—
1066	C₄⋊C₄	—	26	2	no	—
1067	C₄⋊C₄	—	52	1	no	—
1068	C₄⋊C₄	—	52	1	no	—
1069	C₄⋊C₄	—	52	1	no	—
1070	C₄⋊C₄	—	52	1	no	—
1071	C₄⋊C₄	—	52	1	no	—
1072	C₄⋊C₄	—	52	1	no	—
1073	C₄⋊C₄	—	52	1	no	—
1074	C₄⋊C₄	—	52	1	no	—
1075	C₄⋊C₄	—	52	1	no	—
1076	C₄⋊C₄	—	52	1	no	—
1077	C₄⋊C₄	—	52	1	no	—
1078	C₄⋊C₄	—	52	1	no	—
1079	C₄⋊C₄	—	52	1	no	—
1080	C₄⋊C₄	—	52	1	no	—
1081	C₄⋊C₄	—	52	1	no	—
1082	C₄⋊C₄	—	52	1	no	—
1083	C₄⋊C₄	—	52	1	no	—
1084	C₄⋊C₄	—	52	1	no	—
1085	C₄⋊C₄	—	52	1	no	—
1086	C₄⋊C₄	—	52	1	no	—
1087	C₄⋊C₄	—	52	1	no	—
1088	C₄⋊C₄	—	52	1	no	—
1089	C₄⋊C₄	—	52	1	no	—
1090	C₄⋊C₄	—	52	1	no	—
1091	C₂²⋊C₄	—	26	2	no	—
1092	C₂²⋊C₄	—	26	2	no	—
1093	C₂²⋊C₄	—	26	2	no	—
1094	C₂²⋊C₄	—	26	2	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	—	52	1	no	—
1101	C₂²⋊C₄	—	52	1	no	—
1102	C₂²⋊C₄	—	52	1	no	—
1103	C₄²	—	4	1	no	—
1104	C₄²	—	4	1	no	—
1105	C₄²	—	13	4	no	—
1106	C₄²	—	13	4	no	—
1107	C₄²	—	13	4	no	—
1108	C₄²	—	13	4	no	—
1109	C₄²	—	13	4	no	—
1110	C₄²	—	26	2	no	—
1111	C₄²	—	26	2	no	—
1112	C₄²	—	26	2	no	—
1113	C₄²	—	26	2	no	—
1114	C₄²	—	26	2	no	—
1115	C₄²	—	26	2	no	—
1116	C₄²	—	26	2	no	—
1117	C₄²	—	26	2	no	—
1118	C₄²	—	26	2	no	—
1119	C₄²	—	26	2	no	—
1120	C₄²	—	52	1	no	—
1121	C₄²	—	52	1	no	—
1122	C₄²	—	52	1	no	—
1123	C₄²	—	52	1	no	—
1124	C₄²	—	52	1	no	—
1125	C₄²	—	52	1	no	—
1126	C₄²	Q₈×D₁₃	1	4	yes	—
1127	C₁₃	#34644	1	1	yes	characteristic, complemented, Sylow
1128	C₂³	—	13	2	no	—
1129	C₂³	—	26	1	no	—
1130	C₂³	—	26	1	no	—
1131	C₂³	—	26	1	no	—
1132	C₂³	—	26	1	no	—
1133	C₂³	—	26	1	no	—
1134	C₂³	—	26	1	no	—
1135	C₂³	C₂⁴×D₁₃	1	1	yes	characteristic
1136	Q₈	—	4	4	no	—
1137	Q₈	—	52	4	no	—
1138	Q₈	—	52	4	no	—
1139	Q₈	—	52	4	no	—
1140	C₂×C₄	—	2	1	no	—
1141	C₂×C₄	—	2	1	no	—
1142	C₂×C₄	—	2	1	no	—
1143	C₂×C₄	—	2	1	no	—
1144	C₂×C₄	—	2	1	no	—
1145	C₂×C₄	—	2	1	no	—
1146	C₂×C₄	—	2	1	no	—
1147	C₂×C₄	—	2	1	no	—
1148	C₂×C₄	—	2	1	no	—
1149	C₂×C₄	—	2	1	no	—
1150	C₂×C₄	—	2	1	no	—
1151	C₂×C₄	—	2	1	no	—
1152	C₂×C₄	—	2	1	no	—
1153	C₂×C₄	—	2	1	no	—
1154	C₂×C₄	—	2	1	no	—
1155	C₂×C₄	—	2	1	no	—
1156	C₂×C₄	—	2	1	no	—
1157	C₂×C₄	—	2	1	no	—
1158	C₂×C₄	—	2	1	no	—
1159	C₂×C₄	—	2	1	no	—
1160	C₂×C₄	—	2	1	no	—
1161	C₂×C₄	—	2	1	no	—
1162	C₂×C₄	—	2	1	no	—
1163	C₂×C₄	—	2	1	no	—
1164	C₂×C₄	—	2	1	no	—
1165	C₂×C₄	—	2	1	no	—
1166	C₂×C₄	—	2	1	no	—
1167	C₂×C₄	—	2	1	no	—
1168	C₂×C₄	—	2	1	no	—
1169	C₂×C₄	—	2	1	no	—
1170	C₂×C₄	—	2	1	no	—
1171	C₂×C₄	—	2	1	no	—
1172	C₂×C₄	—	2	1	no	—
1173	C₂×C₄	—	2	1	no	—
1174	C₂×C₄	—	2	1	no	—
1175	C₂×C₄	—	2	1	no	—
1176	C₂×C₄	—	2	1	no	—
1177	C₂×C₄	—	2	1	no	—
1178	C₂×C₄	—	2	1	no	—
1179	C₂×C₄	—	2	1	no	—
1180	C₂×C₄	—	13	2	no	—
1181	C₂×C₄	—	13	2	no	—
1182	C₂×C₄	—	13	2	no	—
1183	C₂×C₄	—	13	2	no	—
1184	C₂×C₄	—	13	2	no	—
1185	C₂×C₄	—	13	2	no	—
1186	C₂×C₄	—	13	2	no	—
1187	C₂×C₄	—	26	8	no	—
1188	C₂×C₄	—	26	1	no	—
1189	C₂×C₄	—	26	1	no	—
1190	C₂×C₄	—	26	1	no	—
1191	C₂×C₄	—	26	1	no	—
1192	C₂×C₄	—	26	1	no	—
1193	C₂×C₄	—	26	1	no	—
1194	C₂×C₄	—	26	1	no	—
1195	C₂×C₄	—	26	1	no	—
1196	C₂×C₄	—	26	1	no	—
1197	C₂×C₄	—	26	1	no	—
1198	C₂×C₄	—	26	1	no	—
1199	C₂×C₄	—	26	1	no	—
1200	C₂×C₄	—	26	1	no	—
1201	C₂×C₄	—	26	1	no	—
1202	C₂×C₄	—	26	1	no	—
1203	C₂×C₄	—	26	1	no	—
1204	C₂×C₄	—	26	1	no	—
1205	C₂×C₄	—	26	1	no	—
1206	C₂×C₄	—	26	1	no	—
1207	C₂×C₄	—	26	1	no	—
1208	C₂×C₄	—	26	1	no	—
1209	C₂×C₄	—	26	1	no	—
1210	C₂×C₄	—	26	1	no	—
1211	C₂×C₄	—	26	1	no	—
1212	C₂×C₄	—	26	1	no	—
1213	C₂×C₄	—	26	1	no	—
1214	C₂×C₄	—	26	1	no	—
1215	C₂×C₄	—	26	1	no	—
1216	C₂×C₄	—	26	1	no	—
1217	C₂×C₄	—	26	1	no	—
1218	C₂×C₄	—	26	1	no	—
1219	C₂×C₄	—	26	1	no	—
1220	C₂×C₄	—	26	1	no	—
1221	C₂×C₄	—	26	1	no	—
1222	C₂×C₄	—	26	1	no	—
1223	C₂×C₄	—	26	1	no	—
1224	C₂×C₄	—	26	1	no	—
1225	C₂×C₄	—	26	1	no	—
1226	C₂×C₄	—	52	4	no	—
1227	C₂×C₄	—	52	4	no	—
1228	C₂×C₄	C₂×Q₈×D₁₃	1	2	yes	—
1229	C₂×C₄	C₂×Q₈×D₁₃	1	2	yes	—
1230	C₂×C₄	C₂×Q₈×D₁₃	1	2	yes	—
1231	C₂×C₄	#41×D₁₃	1	2	yes	—
1232	C₂×C₄	#41×D₁₃	1	2	yes	—
1233	C₂²	—	26	2	no	—
1234	C₂²	—	26	2	no	—
1235	C₂²	—	26	2	no	—
1236	C₂²	—	52	1	no	—
1237	C₂²	—	52	1	no	—
1238	C₂²	—	52	1	no	—
1239	C₂²	—	52	1	no	—
1240	C₂²	C₂²×Q₈×D₁₃	1	1	yes	characteristic
1241	C₂²	C₂×#41×D₁₃	1	1	yes	characteristic
1242	C₂²	C₂×#41×D₁₃	1	1	yes	characteristic
1243	C₂²	#11719650	1	1	yes	characteristic
1244	C₂²	#11719650	1	1	yes	characteristic
1245	C₂²	#11719652	1	1	yes	characteristic
1246	C₂²	#11719652	1	1	yes	characteristic
1247	C₄	—	2	2	no	—
1248	C₄	—	2	2	no	—
1249	C₄	—	2	2	no	—
1250	C₄	—	2	2	no	—
1251	C₄	—	2	2	no	—
1252	C₄	—	4	1	no	—
1253	C₄	—	4	1	no	—
1254	C₄	—	4	1	no	—
1255	C₄	—	4	1	no	—
1256	C₄	—	4	1	no	—
1257	C₄	—	4	1	no	—
1258	C₄	—	4	1	no	—
1259	C₄	—	4	1	no	—
1260	C₄	—	4	1	no	—
1261	C₄	—	4	1	no	—
1262	C₄	—	13	4	no	—
1263	C₄	—	26	2	no	—
1264	C₄	—	26	2	no	—
1265	C₄	—	26	2	no	—
1266	C₄	—	26	2	no	—
1267	C₄	—	52	1	no	—
1268	C₄	—	52	1	no	—
1269	C₄	—	52	1	no	—
1270	C₄	—	52	1	no	—
1271	C₄	—	52	1	no	—
1272	C₄	—	52	1	no	—
1273	C₄	—	52	1	no	—
1274	C₄	—	52	1	no	—
1275	C₄	—	52	1	no	—
1276	C₄	—	52	1	no	—
1277	C₂	—	52	2	no	—
1278	C₂	D₁₃×#533	1	1	yes	characteristic
1279	C₂	#13128218	1	1	yes	characteristic
1280	C₂	#13128222	1	1	yes	characteristic
1281	C₂	#13128223	1	1	yes	characteristic
1282	C₂	#13128227	1	1	yes	characteristic
1283	C₂	#13128240	1	1	yes	characteristic
1284	C₂	#13128240	1	1	yes	characteristic

	subgroup	G/H
center, Frattini	C₂³	C₂⁴×D₁₃
commutator, socle, cosocle	C₂³×C₁₃	C₂⁵
Fitting	C₁₃×#2666	C₂
prime radical	C₂³×D₁₃	C₂⁴
hypercenter	#2666	D₁₃
hypocenter	C₁₃	#34644
LCS	G ▷ C₂³×C₁₃ ▷ C₁₃
UCS	C₁ ◁ C₂³ ◁ #2666

Complements

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

N	H ≅ G/N	type
5. #13121020	C₂	semidirect
6. #13121019	C₂	semidirect
7. #13121018	C₂	semidirect
8. #13121017	C₂	semidirect
9. #13121016	C₂	semidirect
10. #13121015	C₂	semidirect
11. #13121014	C₂	semidirect
16. #13118142	C₂	semidirect
17. #13118140	C₂	semidirect
18. #13118128	C₂	semidirect
19. #13118126	C₂	semidirect
24. #13117311	C₂	semidirect
25. #13117309	C₂	semidirect
26. #13117309	C₂	semidirect
27. #13117307	C₂	semidirect
31. C₁₃×#2666	C₂	semidirect
284. C₄²×D₁₃	Q₈	semidirect
497. #2666	D₁₃	semidirect
1127. C₁₃	#34644	semidirect

Maximal subgroups

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

subgroup	index
#13121037	2
#13121036	2
#13121035	2
#13121034	2
#13121020	2
#13121019	2
#13121018	2
#13121017	2
#13121016	2
#13121015	2
#13121014	2
#13121013	2
#13121012	2
#13121011	2
#13121010	2
#13118142	2
#13118140	2
#13118128	2
#13118126	2
#13118113	2
#13118109	2
#13118107	2
#13117311	2
#13117309	2
#13117307	2
#13117233	2
#13117229	2
C₄×#88146	2
C₁₃×#2666	2
#34644	13