Subgroups — #16027126

Order 3328.

1866 conjugacy classes of subgroups.

The subgroup lattice has 1300 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×#11719288	C₂	1	1	yes	maximal, characteristic
2	#13118029	C₂	1	1	yes	maximal, characteristic
3	#13118021	C₂	1	1	yes	maximal, characteristic, complemented
4	#13118015	C₂	1	1	yes	maximal, characteristic, complemented
5	#13118000	C₂	1	1	yes	maximal, characteristic
6	#13117961	C₂	1	1	yes	maximal, characteristic
7	#13117952	C₂	1	1	yes	maximal, characteristic
8	#13117950	C₂	1	1	yes	maximal, characteristic
9	#13117938	C₂	1	1	yes	maximal, characteristic, complemented
10	#13117930	C₂	1	1	yes	maximal, characteristic, complemented
11	#13117927	C₂	1	1	yes	maximal, characteristic, complemented
12	#13117924	C₂	1	1	yes	maximal, characteristic, complemented
13	#13117918	C₂	1	1	yes	maximal, characteristic
14	#13117801	C₂	1	1	yes	maximal, characteristic, complemented
15	#13117730	C₂	1	1	yes	maximal, characteristic
16	#13117689	C₂	1	1	yes	maximal, characteristic
17	#13117640	C₂	1	1	yes	maximal, characteristic, complemented
18	#13117639	C₂	1	1	yes	maximal, characteristic, complemented
19	#13117636	C₂	1	1	yes	maximal, characteristic, complemented
20	#13117635	C₂	1	1	yes	maximal, characteristic, complemented
21	#13117617	C₂	1	1	yes	maximal, characteristic
22	#13117611	C₂	1	1	yes	maximal, characteristic
23	#13117607	C₂	1	1	yes	maximal, characteristic
24	#13117591	C₂	1	1	yes	maximal, characteristic
25	#13117575	C₂	1	1	yes	maximal, characteristic, complemented
26	#13117568	C₂	1	1	yes	maximal, characteristic
27	#13117484	C₂	1	1	yes	maximal, characteristic, complemented
28	C₄×#88143	C₂	1	1	yes	maximal, characteristic, complemented
29	#13117386	C₂	1	1	yes	maximal, characteristic
30	#13117312	C₂	1	1	yes	maximal, characteristic, complemented
31	C₁₃×#2355	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂×C₄×Q₈×C₁₃	C₂²	1	1	yes	characteristic
33	C₂×#88200	C₂²	1	1	yes	characteristic
34	C₂×#88198	C₂²	1	1	yes	characteristic
35	#11719288	C₄	1	16	yes	complemented
36	C₂×#88152	C₂²	1	1	yes	characteristic
37	C₂×#88152	C₂²	1	1	yes	characteristic
38	C₂×#88151	C₂²	1	1	yes	characteristic
39	C₂×#88144	C₂²	1	1	yes	characteristic
40	C₂×#88143	C₂²	1	1	yes	characteristic
41	C₂×#88143	C₂²	1	1	yes	characteristic
42	C₂×#88130	C₂²	1	1	yes	characteristic
43	C₂×#88130	C₂²	1	1	yes	characteristic
44	C₂×#88126	C₂²	1	1	yes	characteristic
45	C₂×#88124	C₂²	1	1	yes	characteristic
46	C₂×#88124	C₂²	1	1	yes	characteristic
47	C₂×C₄×Dic₂₆	C₂²	1	1	yes	characteristic
48	C₁₃×#391	C₂²	1	1	yes	characteristic
49	C₁₃×#391	C₂²	1	1	yes	characteristic
50	C₁₃×#387	C₂²	1	1	yes	characteristic
51	C₁₃×#387	C₂²	1	1	yes	characteristic
52	C₁₃×#387	C₂²	1	1	yes	characteristic
53	C₁₃×#387	C₂²	1	1	yes	characteristic
54	C₁₃×#384	C₂²	1	1	yes	characteristic
55	C₁₃×#382	C₂²	1	1	yes	characteristic
56	C₁₃×#382	C₂²	1	1	yes	characteristic
57	C₄×C₁₃×C₄⋊C₄	C₂²	1	1	yes	characteristic
58	C₄×C₁₃×C₄⋊C₄	C₂²	1	1	yes	characteristic
59	C₄×C₁₃×C₄⋊C₄	C₂²	1	1	yes	characteristic
60	C₄×C₁₃×C₄⋊C₄	C₂²	1	1	yes	characteristic
61	C₄×C₁₃×C₄⋊C₄	C₂²	1	1	yes	characteristic
62	#11718891	C₂²	1	1	yes	characteristic
63	#11718891	C₂²	1	1	yes	characteristic
64	#11718651	C₂²	1	1	yes	characteristic
65	#11718651	C₂²	1	1	yes	characteristic
66	#11718651	C₂²	1	1	yes	characteristic
67	#11718651	C₂²	1	1	yes	characteristic
68	#11718650	C₂²	1	1	yes	characteristic
69	#11718650	C₂²	1	1	yes	characteristic
70	#11718650	C₂²	1	1	yes	characteristic
71	#11718650	C₂²	1	1	yes	characteristic
72	#11718642	C₂²	1	1	yes	characteristic
73	#11718642	C₂²	1	1	yes	characteristic
74	#11718642	C₂²	1	1	yes	characteristic
75	#11718642	C₂²	1	1	yes	characteristic
76	#11718639	C₂²	1	1	yes	characteristic
77	#11718639	C₂²	1	1	yes	characteristic
78	#11718639	C₂²	1	1	yes	characteristic
79	#11718639	C₂²	1	1	yes	characteristic
80	#11718639	C₂²	1	1	yes	characteristic
81	#11718639	C₂²	1	1	yes	characteristic
82	#11718639	C₂²	1	1	yes	characteristic
83	#11718639	C₂²	1	1	yes	characteristic
84	#11718639	C₂²	1	1	yes	characteristic
85	#11718639	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	#11718634	C₂²	1	1	yes	characteristic
92	#11718633	C₂²	1	1	yes	characteristic
93	#11718633	C₂²	1	1	yes	characteristic
94	#11718633	C₂²	1	1	yes	characteristic
95	#11718633	C₂²	1	1	yes	characteristic
96	#11718633	C₂²	1	1	yes	characteristic
97	#11718633	C₂²	1	1	yes	characteristic
98	#11718633	C₂²	1	1	yes	characteristic
99	#11718633	C₂²	1	1	yes	characteristic
100	#11718633	C₂²	1	1	yes	characteristic
101	#11718633	C₂²	1	1	yes	characteristic
102	#11718601	C₂²	1	1	yes	characteristic
103	#11718601	C₂²	1	1	yes	characteristic
104	#11718601	C₂²	1	1	yes	characteristic
105	#11718601	C₂²	1	1	yes	characteristic
106	C₄×#6103	C₂²	1	1	yes	characteristic
107	C₄×#6103	C₂²	1	1	yes	characteristic
108	#11718598	C₂²	1	1	yes	characteristic
109	#11718598	C₂²	1	1	yes	characteristic
110	#11718597	C₂²	1	1	yes	characteristic
111	C₄×C₄⋊Dic₁₃	C₂²	1	1	yes	characteristic
112	C₄×C₄⋊Dic₁₃	C₂²	1	1	yes	characteristic
113	C₄×C₄⋊Dic₁₃	C₂²	1	1	yes	characteristic
114	#11718594	C₂²	1	1	yes	characteristic
115	#11718594	C₂²	1	1	yes	characteristic
116	#11718594	C₂²	1	1	yes	characteristic
117	#11718594	C₂²	1	1	yes	characteristic
118	#11718593	C₂²	1	1	yes	characteristic
119	#11718593	C₂²	1	1	yes	characteristic
120	#11718593	C₂²	1	1	yes	characteristic
121	C₄×#6101	C₂²	1	1	yes	characteristic
122	C₄×#6101	C₂²	1	1	yes	characteristic
123	C₄×#6101	C₂²	1	1	yes	characteristic
124	C₄×#6101	C₂²	1	1	yes	characteristic
125	C₄×#6101	C₂²	1	1	yes	characteristic
126	C₄×#6101	C₂²	1	1	yes	characteristic
127	C₄×#6101	C₂²	1	1	yes	characteristic
128	C₄×#6101	C₂²	1	1	yes	characteristic
129	C₄²×Dic₁₃	C₂²	1	1	yes	characteristic
130	#11718589	C₂²	1	1	yes	characteristic
131	#11718589	C₂²	1	1	yes	characteristic
132	#11718331	C₂²	1	1	yes	characteristic
133	#11718331	C₂²	1	1	yes	characteristic
134	#11718330	C₂²	1	1	yes	characteristic
135	#11718330	C₂²	1	1	yes	characteristic
136	#11718329	C₂²	1	1	yes	characteristic
137	#11718329	C₂²	1	1	yes	characteristic
138	#11718328	C₂²	1	1	yes	characteristic
139	#11718327	C₂²	1	1	yes	characteristic
140	#11718327	C₂²	1	1	yes	characteristic
141	#11718327	C₂²	1	1	yes	characteristic
142	#11718327	C₂²	1	1	yes	characteristic
143	#11718327	C₂²	1	1	yes	characteristic
144	#11718325	C₂²	1	1	yes	characteristic
145	D₁₃×#95	C₂²	1	1	yes	characteristic
146	#11718316	C₂²	1	1	yes	characteristic
147	#11718316	C₂²	1	1	yes	characteristic
148	#11718316	C₂²	1	1	yes	characteristic
149	#11718316	C₂²	1	1	yes	characteristic
150	#11718315	C₂²	1	1	yes	characteristic
151	#11718315	C₂²	1	1	yes	characteristic
152	#11718315	C₂²	1	1	yes	characteristic
153	#11718315	C₂²	1	1	yes	characteristic
154	#11718315	C₂²	1	1	yes	characteristic
155	#11718315	C₂²	1	1	yes	characteristic
156	#11718314	C₂²	1	1	yes	characteristic
157	#11718314	C₂²	1	1	yes	characteristic
158	#11718314	C₂²	1	1	yes	characteristic
159	#11718314	C₂²	1	1	yes	characteristic
160	#11718314	C₂²	1	1	yes	characteristic
161	#11718314	C₂²	1	1	yes	characteristic
162	#11718313	C₂²	1	1	yes	characteristic
163	#11718313	C₂²	1	1	yes	characteristic
164	#11718313	C₂²	1	1	yes	characteristic
165	#11718313	C₂²	1	1	yes	characteristic
166	#11718313	C₂²	1	1	yes	characteristic
167	#11718313	C₂²	1	1	yes	characteristic
168	#11718312	C₂²	1	1	yes	characteristic
169	#11718312	C₂²	1	1	yes	characteristic
170	#11718312	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	#11718310	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	#11718307	C₂²	1	1	yes	characteristic
185	#11718307	C₂²	1	1	yes	characteristic
186	#11718307	C₂²	1	1	yes	characteristic
187	#11718307	C₂²	1	1	yes	characteristic
188	C₂²×Q₈×C₁₃	C₂³	1	1	yes	characteristic
189	C₂²×C₄×D₁₃	C₂³	1	1	yes	characteristic
190	C₂²×C₄×D₁₃	C₂³	1	1	yes	characteristic
191	C₂²×C₄×D₁₃	C₂³	1	1	yes	characteristic
192	C₂²×Dic₂₆	C₂³	1	1	yes	characteristic
193	C₄×Q₈×C₁₃	C₂×C₄	1	8	yes	complemented
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×C₄²×C₁₃	C₂³	1	1	yes	characteristic
206	C₂×C₄²×C₁₃	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	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
211	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
212	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
213	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
214	#88200	C₂×C₄	1	8	yes	—
215	#88198	C₂×C₄	1	8	yes	complemented
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×#6103	C₂³	1	1	yes	characteristic
224	C₂×#6103	C₂³	1	1	yes	characteristic
225	C₂×#6103	C₂³	1	1	yes	characteristic
226	C₂×#6103	C₂³	1	1	yes	characteristic
227	C₂×#6103	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×C₄⋊Dic₁₃	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×#6101	C₂³	1	1	yes	characteristic
259	C₂×#6101	C₂³	1	1	yes	characteristic
260	C₂×#6101	C₂³	1	1	yes	characteristic
261	C₂×#6101	C₂³	1	1	yes	characteristic
262	C₂×#6101	C₂³	1	1	yes	characteristic
263	C₂×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	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
280	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
281	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
282	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
283	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
284	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
285	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
286	#88152	C₂×C₄	1	8	yes	—
287	#88152	C₂×C₄	1	8	yes	—
288	#88151	C₂×C₄	1	8	yes	—
289	#88144	C₂×C₄	1	8	yes	complemented
290	#88143	C₂×C₄	1	8	yes	complemented
291	#88143	C₂×C₄	1	8	yes	complemented
292	#88130	C₂×C₄	1	8	yes	—
293	#88130	C₂×C₄	1	8	yes	—
294	#88126	C₂×C₄	1	8	yes	—
295	#88124	C₂×C₄	1	8	yes	complemented
296	#88124	C₂×C₄	1	8	yes	complemented
297	C₄×Dic₂₆	C₂×C₄	1	8	yes	complemented
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	C₁₃×#95	C₂³	1	1	yes	characteristic
304	C₁₃×#95	C₂³	1	1	yes	characteristic
305	C₁₃×#95	C₂³	1	1	yes	characteristic
306	C₁₃×#95	C₂³	1	1	yes	characteristic
307	C₁₃×#95	C₂³	1	1	yes	characteristic
308	C₁₃×#95	C₂³	1	1	yes	characteristic
309	C₁₃×#95	C₂³	1	1	yes	characteristic
310	C₁₃×#95	C₂³	1	1	yes	characteristic
311	C₁₃×#95	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	#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	#34445	—	13	1	no	maximal, Sylow
359	C₂³×D₁₃	C₂⁴	1	1	yes	characteristic
360	C₂×Q₈×C₁₃	—	4	1	no	—
361	C₂×Q₈×C₁₃	—	4	1	no	—
362	C₂×Q₈×C₁₃	C₂²×C₄	1	4	yes	—
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×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
370	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
371	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
372	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
373	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
374	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
375	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
376	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
377	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
378	C₂²×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	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
385	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
386	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
387	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
388	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
389	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
390	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
391	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
392	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
393	C₂×C₄×D₁₃	—	2	2	no	—
394	C₂×C₄×D₁₃	—	4	1	no	—
395	C₂×C₄×D₁₃	—	4	1	no	—
396	C₂×C₄×D₁₃	—	4	1	no	—
397	C₂×C₄×D₁₃	—	4	1	no	—
398	C₂×C₄×D₁₃	—	4	1	no	—
399	C₂×C₄×D₁₃	—	4	1	no	—
400	C₂×C₄×D₁₃	—	4	1	no	—
401	C₂×C₄×D₁₃	C₂²×C₄	1	4	yes	—
402	C₂×Dic₂₆	—	4	1	no	—
403	C₂×Dic₂₆	—	4	1	no	—
404	C₂×Dic₂₆	C₂²×C₄	1	4	yes	—
405	C₁₃×C₄⋊C₄	—	2	2	no	—
406	C₁₃×C₄⋊C₄	—	4	1	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	C₂²×C₄	1	4	yes	—
414	C₁₃×C₄⋊C₄	C₂²×C₄	1	4	yes	—
415	C₁₃×C₄⋊C₄	C₂²×C₄	1	4	yes	—
416	C₄²×C₁₃	—	4	1	no	—
417	C₄²×C₁₃	—	4	1	no	—
418	C₄²×C₁₃	—	4	1	no	—
419	C₄²×C₁₃	—	4	1	no	—
420	C₄²×C₁₃	—	4	1	no	—
421	C₄²×C₁₃	—	4	1	no	—
422	C₄²×C₁₃	C₂²×C₄	1	4	yes	—
423	C₄²×C₁₃	C₂²×C₄	1	4	yes	—
424	C₄²×C₁₃	C₂²×C₄	1	4	yes	—
425	#6103	—	2	2	no	—
426	#6103	—	4	1	no	—
427	#6103	—	4	1	no	—
428	#6103	—	4	1	no	—
429	#6103	—	4	1	no	—
430	#6103	—	4	1	no	—
431	#6103	C₂²×C₄	1	4	yes	—
432	#6103	C₂²×C₄	1	4	yes	—
433	#6103	C₂²×C₄	1	4	yes	—
434	#6103	C₂²×C₄	1	4	yes	—
435	#6103	C₂²×C₄	1	4	yes	—
436	#6103	C₂²×C₄	1	4	yes	—
437	C₄⋊Dic₁₃	—	2	2	no	—
438	C₄⋊Dic₁₃	—	4	1	no	—
439	C₄⋊Dic₁₃	—	4	1	no	—
440	C₄⋊Dic₁₃	—	4	1	no	—
441	C₄⋊Dic₁₃	C₂²×C₄	1	4	yes	—
442	C₄⋊Dic₁₃	C₂²×C₄	1	4	yes	—
443	C₄⋊Dic₁₃	C₂²×C₄	1	4	yes	—
444	C₄⋊Dic₁₃	C₂²×C₄	1	4	yes	—
445	C₄⋊Dic₁₃	C₂²×C₄	1	4	yes	—
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	C₂²×C₄	1	4	yes	—
461	#6101	C₂²×C₄	1	4	yes	—
462	#6101	C₂²×C₄	1	4	yes	—
463	#6101	C₂²×C₄	1	4	yes	—
464	#6101	C₂²×C₄	1	4	yes	—
465	#6101	C₂²×C₄	1	4	yes	—
466	#6101	C₂²×C₄	1	4	yes	—
467	#6101	C₂²×C₄	1	4	yes	—
468	#6101	C₂²×C₄	1	4	yes	—
469	#6101	C₂²×C₄	1	4	yes	—
470	#6101	C₂²×C₄	1	4	yes	—
471	#6101	C₂²×C₄	1	4	yes	—
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	—	4	1	no	—
482	C₄×Dic₁₃	—	4	1	no	—
483	C₄×Dic₁₃	—	4	1	no	—
484	C₄×Dic₁₃	—	4	1	no	—
485	C₄×Dic₁₃	—	4	1	no	—
486	C₄×Dic₁₃	—	4	1	no	—
487	C₄×Dic₁₃	—	4	1	no	—
488	C₄×Dic₁₃	—	4	1	no	—
489	C₄×Dic₁₃	—	4	1	no	—
490	C₄×Dic₁₃	—	4	1	no	—
491	C₄×Dic₁₃	—	4	1	no	—
492	C₄×Dic₁₃	C₂²×C₄	1	4	yes	—
493	C₄×Dic₁₃	C₂²×C₄	1	4	yes	—
494	C₄×Dic₁₃	C₂²×C₄	1	4	yes	—
495	C₂×#541	—	13	1	no	—
496	#2383	—	13	1	no	—
497	#2382	—	13	1	no	—
498	#2381	—	13	1	no	—
499	#2378	—	13	1	no	—
500	#2373	—	13	1	no	—
501	#2373	—	13	1	no	—
502	#2373	—	13	1	no	—
503	#2371	—	13	1	no	—
504	#2370	—	13	1	no	—
505	#2370	—	13	1	no	—
506	#2369	—	13	1	no	—
507	#2368	—	13	1	no	—
508	#2356	—	13	1	no	—
509	#2355	D₁₃	1	1	yes	characteristic, complemented
510	#2347	—	13	1	no	—
511	#2343	—	13	1	no	—
512	#2336	—	13	1	no	—
513	#2336	—	13	1	no	—
514	#2336	—	13	1	no	—
515	#2336	—	13	1	no	—
516	#2334	—	13	1	no	—
517	#2334	—	13	1	no	—
518	#2334	—	13	1	no	—
519	#2332	—	13	1	no	—
520	#2330	—	13	1	no	—
521	#2329	—	13	1	no	—
522	#2320	—	13	1	no	—
523	C₄×#125	—	13	1	no	—
524	C₄×#126	—	13	1	no	—
525	#2295	—	13	1	no	—
526	C₂³×C₁₃	C₂⁵	1	1	yes	characteristic
527	C₂²×D₁₃	—	2	1	no	—
528	C₂²×D₁₃	—	2	1	no	—
529	C₂²×D₁₃	—	2	1	no	—
530	C₂²×D₁₃	—	2	1	no	—
531	C₂²×D₁₃	—	2	1	no	—
532	C₂²×D₁₃	—	2	1	no	—
533	C₂²×D₁₃	C₂³×C₄	1	2	yes	—
534	Q₈×C₁₃	—	4	4	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	—	2	1	no	—
567	C₂×C₄×C₁₃	—	2	1	no	—
568	C₂×C₄×C₁₃	—	2	1	no	—
569	C₂×C₄×C₁₃	—	2	1	no	—
570	C₂×C₄×C₁₃	—	2	1	no	—
571	C₂×C₄×C₁₃	—	2	1	no	—
572	C₂×C₄×C₁₃	C₂³×C₄	1	2	yes	—
573	C₂×C₄×C₁₃	C₂³×C₄	1	2	yes	—
574	C₂×C₄×C₁₃	C₂³×C₄	1	2	yes	—
575	C₂×C₄×C₁₃	C₂³×C₄	1	2	yes	—
576	C₂×C₄×C₁₃	C₂³×C₄	1	2	yes	—
577	C₂×C₄×C₁₃	C₂³×C₄	1	2	yes	—
578	C₂×C₄×C₁₃	C₂³×C₄	1	2	yes	—
579	C₂×C₄×C₁₃	2₋¹⁺⁴	1	2	yes	—
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	—	2	1	no	—
610	C₂×Dic₁₃	—	2	1	no	—
611	C₂×Dic₁₃	—	2	1	no	—
612	C₂×Dic₁₃	—	2	1	no	—
613	C₂×Dic₁₃	—	2	1	no	—
614	C₂×Dic₁₃	—	2	1	no	—
615	C₂×Dic₁₃	—	2	1	no	—
616	C₂×Dic₁₃	—	2	1	no	—
617	C₂×Dic₁₃	C₂³×C₄	1	2	yes	—
618	C₂×Dic₁₃	C₂³×C₄	1	2	yes	—
619	C₂×Dic₁₃	C₂³×C₄	1	2	yes	—
620	C₂×Dic₁₃	C₂³×C₄	1	2	yes	—
621	C₂×Dic₁₃	C₂³×C₄	1	2	yes	—
622	C₂×Dic₁₃	C₂³×C₄	1	2	yes	—
623	C₂×Dic₁₃	C₂³×C₄	1	2	yes	—
624	C₂×Dic₁₃	2₋¹⁺⁴	1	2	yes	—
625	C₄×D₁₃	—	4	4	no	—
626	C₄×D₁₃	—	8	2	no	—
627	C₄×D₁₃	—	8	2	no	—
628	Dic₂₆	—	4	4	no	—
629	#541	—	13	16	no	—
630	C₂×C₄⋊Q₈	—	13	1	no	—
631	C₂×#126	—	13	1	no	—
632	C₂×#126	—	13	1	no	—
633	C₂×#126	—	13	1	no	—
634	C₂×#126	—	13	1	no	—
635	C₂×#125	—	13	1	no	—
636	C₂×#125	—	13	1	no	—
637	C₂×#125	—	13	1	no	—
638	C₂×#125	—	13	1	no	—
639	C₂×#125	—	13	1	no	—
640	C₂×C₂²⋊Q₈	—	13	1	no	—
641	C₂×C₂²⋊Q₈	—	13	1	no	—
642	C₂×C₄×Q₈	—	13	1	no	—
643	C₂×C₄×Q₈	C₂×D₁₃	1	1	yes	characteristic
644	C₂×#117	—	13	1	no	—
645	#391	—	13	1	no	—
646	#391	—	13	1	no	—
647	#391	—	13	1	no	—
648	#391	—	13	1	no	—
649	#391	—	13	1	no	—
650	#391	—	13	1	no	—
651	#391	C₂×D₁₃	1	1	yes	characteristic
652	#391	C₂×D₁₃	1	1	yes	characteristic
653	#389	—	13	1	no	—
654	#389	—	13	1	no	—
655	#389	—	13	1	no	—
656	#389	—	13	1	no	—
657	#389	—	13	1	no	—
658	#389	—	13	1	no	—
659	#389	—	13	1	no	—
660	#389	—	13	1	no	—
661	#389	—	13	1	no	—
662	#389	—	13	1	no	—
663	#389	—	13	1	no	—
664	#389	—	13	1	no	—
665	#389	—	13	1	no	—
666	#389	—	13	1	no	—
667	#389	—	13	1	no	—
668	#389	—	13	1	no	—
669	#389	—	13	1	no	—
670	#389	—	13	1	no	—
671	#388	—	13	1	no	—
672	#388	—	13	1	no	—
673	#388	—	13	1	no	—
674	#388	—	13	1	no	—
675	#388	—	13	1	no	—
676	#388	—	13	1	no	—
677	#388	—	13	1	no	—
678	#388	—	13	1	no	—
679	#388	—	13	1	no	—
680	#388	—	13	1	no	—
681	#388	—	13	1	no	—
682	#388	—	13	1	no	—
683	#387	—	13	1	no	—
684	#387	—	13	1	no	—
685	#387	—	13	1	no	—
686	#387	—	13	1	no	—
687	#387	—	13	1	no	—
688	#387	—	13	1	no	—
689	#387	—	13	1	no	—
690	#387	—	13	1	no	—
691	#387	—	13	1	no	—
692	#387	—	13	1	no	—
693	#387	—	13	1	no	—
694	#387	—	13	1	no	—
695	#387	—	13	1	no	—
696	#387	—	13	1	no	—
697	#387	—	13	1	no	—
698	#387	—	13	1	no	—
699	#387	—	13	1	no	—
700	#387	—	13	1	no	—
701	#387	—	13	1	no	—
702	#387	—	13	1	no	—
703	#387	—	13	1	no	—
704	#387	—	13	1	no	—
705	#387	—	13	1	no	—
706	#387	—	13	1	no	—
707	#387	—	13	1	no	—
708	#387	—	13	1	no	—
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	#387	C₂×D₁₃	1	1	yes	characteristic
726	#387	C₂×D₁₃	1	1	yes	characteristic
727	#385	—	13	1	no	—
728	#385	—	13	1	no	—
729	#385	—	13	1	no	—
730	#385	—	13	1	no	—
731	#385	—	13	1	no	—
732	#385	—	13	1	no	—
733	#384	C₂×D₁₃	1	1	yes	characteristic
734	#383	—	13	1	no	—
735	#383	—	13	1	no	—
736	#383	—	13	1	no	—
737	#383	—	13	1	no	—
738	#383	—	13	1	no	—
739	#382	—	13	1	no	—
740	#382	—	13	1	no	—
741	#382	C₂×D₁₃	1	1	yes	characteristic
742	#382	C₂×D₁₃	1	1	yes	characteristic
743	#381	—	13	1	no	—
744	#380	—	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	—	13	1	no	—
761	C₄×C₄⋊C₄	—	13	1	no	—
762	C₄×C₄⋊C₄	—	13	1	no	—
763	C₄×C₄⋊C₄	—	13	1	no	—
764	C₄×C₄⋊C₄	—	13	1	no	—
765	C₄×C₄⋊C₄	—	13	1	no	—
766	C₄×C₄⋊C₄	—	13	1	no	—
767	C₄×C₄⋊C₄	C₂×D₁₃	1	1	yes	characteristic
768	C₄×C₄⋊C₄	C₂×D₁₃	1	1	yes	characteristic
769	C₄×C₄⋊C₄	C₂×D₁₃	1	1	yes	characteristic
770	C₄×C₄⋊C₄	C₂×D₁₃	1	1	yes	characteristic
771	C₄×C₄⋊C₄	C₂×D₁₃	1	1	yes	characteristic
772	C₄×C₂²⋊C₄	—	13	1	no	—
773	C₄×C₂²⋊C₄	—	13	1	no	—
774	C₄×C₂²⋊C₄	—	13	1	no	—
775	C₄×C₂²⋊C₄	—	13	1	no	—
776	C₄×C₂²⋊C₄	—	13	1	no	—
777	C₄×C₂²⋊C₄	—	13	1	no	—
778	C₄×C₂²⋊C₄	—	13	1	no	—
779	#376	—	13	1	no	—
780	#376	—	13	1	no	—
781	#376	—	13	1	no	—
782	#376	—	13	1	no	—
783	C₂×#95	—	13	1	no	—
784	C₄³	—	13	1	no	—
785	C₂²×C₁₃	C₂⁴×C₄	1	1	yes	characteristic
786	C₂²×C₁₃	C₂×2₋¹⁺⁴	1	1	yes	characteristic
787	C₂²×C₁₃	C₂×2₋¹⁺⁴	1	1	yes	characteristic
788	C₂²×C₁₃	#585	1	1	yes	characteristic
789	C₂²×C₁₃	#585	1	1	yes	characteristic
790	C₂²×C₁₃	#585	1	1	yes	characteristic
791	C₂²×C₁₃	#585	1	1	yes	characteristic
792	C₂×D₁₃	—	2	2	no	—
793	C₂×D₁₃	—	2	2	no	—
794	C₂×D₁₃	—	2	2	no	—
795	C₂×D₁₃	—	4	1	no	—
796	C₂×D₁₃	—	4	1	no	—
797	C₂×D₁₃	—	4	1	no	—
798	C₂×D₁₃	—	4	1	no	—
799	C₄×C₁₃	—	2	2	no	—
800	C₄×C₁₃	—	2	2	no	—
801	C₄×C₁₃	—	2	2	no	—
802	C₄×C₁₃	—	2	2	no	—
803	C₄×C₁₃	—	2	2	no	—
804	C₄×C₁₃	—	2	2	no	—
805	C₄×C₁₃	—	2	2	no	—
806	C₄×C₁₃	—	2	2	no	—
807	C₄×C₁₃	—	4	1	no	—
808	C₄×C₁₃	—	4	1	no	—
809	C₄×C₁₃	—	4	1	no	—
810	C₄×C₁₃	—	4	1	no	—
811	C₄×C₁₃	—	4	1	no	—
812	C₄×C₁₃	—	4	1	no	—
813	C₄×C₁₃	—	4	1	no	—
814	Dic₁₃	—	2	2	no	—
815	Dic₁₃	—	2	2	no	—
816	Dic₁₃	—	2	2	no	—
817	Dic₁₃	—	2	2	no	—
818	Dic₁₃	—	2	2	no	—
819	Dic₁₃	—	2	2	no	—
820	Dic₁₃	—	2	2	no	—
821	Dic₁₃	—	2	2	no	—
822	Dic₁₃	—	4	1	no	—
823	Dic₁₃	—	4	1	no	—
824	Dic₁₃	—	4	1	no	—
825	Dic₁₃	—	4	1	no	—
826	Dic₁₃	—	4	1	no	—
827	Dic₁₃	—	4	1	no	—
828	Dic₁₃	—	4	1	no	—
829	C₂²×Q₈	—	13	1	no	—
830	C₂²×Q₈	C₂²×D₁₃	1	1	yes	characteristic
831	C₂³×C₄	—	13	1	no	—
832	C₂³×C₄	—	13	1	no	—
833	C₂³×C₄	—	13	1	no	—
834	C₄⋊Q₈	—	13	8	no	—
835	#126	—	13	8	no	—
836	#126	—	13	8	no	—
837	#126	—	13	8	no	—
838	#126	—	13	8	no	—
839	#125	—	13	8	no	—
840	#125	—	13	8	no	—
841	#125	—	13	8	no	—
842	#125	—	13	8	no	—
843	#125	—	13	8	no	—
844	C₂²⋊Q₈	—	13	8	no	—
845	C₂²⋊Q₈	—	13	8	no	—
846	C₄×Q₈	—	13	8	no	—
847	C₄×Q₈	C₄×D₁₃	1	8	yes	complemented
848	#117	—	13	8	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	—	13	1	no	—
870	C₂×C₄⋊C₄	—	13	1	no	—
871	C₂×C₄⋊C₄	—	13	1	no	—
872	C₂×C₄⋊C₄	—	13	1	no	—
873	C₂×C₄⋊C₄	—	13	1	no	—
874	C₂×C₄⋊C₄	—	13	1	no	—
875	C₂×C₄⋊C₄	—	13	1	no	—
876	C₂×C₄⋊C₄	—	13	1	no	—
877	C₂×C₄⋊C₄	—	13	1	no	—
878	C₂×C₄⋊C₄	—	13	1	no	—
879	C₂×C₄⋊C₄	—	13	1	no	—
880	C₂×C₄⋊C₄	—	13	1	no	—
881	C₂×C₄⋊C₄	—	13	1	no	—
882	C₂×C₄⋊C₄	—	13	1	no	—
883	C₂×C₄⋊C₄	—	13	1	no	—
884	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
885	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
886	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
887	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
888	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
889	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
890	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
891	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
892	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
893	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
894	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
895	C₂×C₂²⋊C₄	—	13	1	no	—
896	C₂×C₂²⋊C₄	—	13	1	no	—
897	C₂×C₂²⋊C₄	—	13	1	no	—
898	C₂×C₂²⋊C₄	—	13	1	no	—
899	C₂×C₂²⋊C₄	—	13	1	no	—
900	C₂×C₂²⋊C₄	—	13	1	no	—
901	C₂×C₂²⋊C₄	—	13	1	no	—
902	C₂×C₂²⋊C₄	—	13	1	no	—
903	C₂×C₂²⋊C₄	—	13	1	no	—
904	C₂×C₂²⋊C₄	—	13	1	no	—
905	C₂×C₂²⋊C₄	—	13	1	no	—
906	C₂×C₂²⋊C₄	—	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	—	13	1	no	—
917	C₂×C₄²	—	13	1	no	—
918	C₂×C₄²	—	13	1	no	—
919	C₂×C₄²	—	13	1	no	—
920	C₂×C₄²	—	13	1	no	—
921	C₂×C₄²	—	13	1	no	—
922	C₂×C₄²	—	13	1	no	—
923	C₂×C₄²	—	13	1	no	—
924	C₂×C₄²	—	13	1	no	—
925	C₂×C₄²	—	13	1	no	—
926	C₂×C₄²	—	13	1	no	—
927	C₂×C₄²	—	13	1	no	—
928	C₂×C₄²	—	13	1	no	—
929	C₂×C₄²	—	13	1	no	—
930	C₂×C₄²	C₂²×D₁₃	1	1	yes	characteristic
931	C₂×C₄²	C₂²×D₁₃	1	1	yes	characteristic
932	C₂×C₄²	C₂²×D₁₃	1	1	yes	characteristic
933	C₂×C₄²	C₂²×D₁₃	1	1	yes	characteristic
934	C₂×C₄²	C₂²×D₁₃	1	1	yes	characteristic
935	C₂×C₄²	C₂²×D₁₃	1	1	yes	characteristic
936	C₂×C₄²	C₂²×D₁₃	1	1	yes	characteristic
937	C₂×C₄²	C₂²×D₁₃	1	1	yes	characteristic
938	C₂×C₄²	C₂²×D₁₃	1	1	yes	characteristic
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	—	13	1	no	—
966	#95	—	13	1	no	—
967	#95	—	13	1	no	—
968	#95	—	13	1	no	—
969	#95	—	13	1	no	—
970	#95	—	13	1	no	—
971	#95	—	13	1	no	—
972	#95	—	13	1	no	—
973	#95	—	13	1	no	—
974	#95	—	13	1	no	—
975	#95	—	13	1	no	—
976	#95	—	13	1	no	—
977	#95	—	13	1	no	—
978	#95	—	13	1	no	—
979	#95	—	13	1	no	—
980	#95	—	13	1	no	—
981	#95	—	13	1	no	—
982	#95	—	13	1	no	—
983	#95	—	13	1	no	—
984	#95	—	13	1	no	—
985	#95	C₂²×D₁₃	1	1	yes	characteristic
986	#95	C₂²×D₁₃	1	1	yes	characteristic
987	#95	C₂²×D₁₃	1	1	yes	characteristic
988	#95	C₂²×D₁₃	1	1	yes	characteristic
989	#95	C₂²×D₁₃	1	1	yes	characteristic
990	#95	C₂²×D₁₃	1	1	yes	characteristic
991	#95	C₂²×D₁₃	1	1	yes	characteristic
992	#95	C₂²×D₁₃	1	1	yes	characteristic
993	#95	C₂²×D₁₃	1	1	yes	characteristic
994	#95	C₂²×D₁₃	1	1	yes	characteristic
995	#95	C₂²×D₁₃	1	1	yes	characteristic
996	#95	C₂²×D₁₃	1	1	yes	characteristic
997	#95	C₂²×D₁₃	1	1	yes	characteristic
998	#95	C₂²×D₁₃	1	1	yes	characteristic
999	C₂×C₁₃	#3428	1	1	yes	characteristic
1000	C₂×C₁₃	C₄×2₋¹⁺⁴	1	1	yes	characteristic
1001	C₂×C₁₃	C₄×2₋¹⁺⁴	1	1	yes	characteristic
1002	C₂×C₁₃	#3553	1	1	yes	characteristic
1003	C₂×C₁₃	#3555	1	1	yes	characteristic
1004	C₂×C₁₃	#3564	1	1	yes	characteristic
1005	C₂×C₁₃	#3566	1	1	yes	characteristic
1006	D₁₃	—	4	2	no	—
1007	C₂⁴	—	13	1	no	—
1008	C₂×Q₈	—	4	1	no	—
1009	C₂×Q₈	—	4	1	no	—
1010	C₂×Q₈	—	13	4	no	—
1011	C₂×Q₈	—	52	1	no	—
1012	C₂×Q₈	—	52	1	no	—
1013	C₂×Q₈	C₂×C₄×D₁₃	1	4	yes	—
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	—	13	4	no	—
1023	C₂²×C₄	—	13	1	no	—
1024	C₂²×C₄	—	13	1	no	—
1025	C₂²×C₄	—	13	1	no	—
1026	C₂²×C₄	—	13	1	no	—
1027	C₂²×C₄	—	13	1	no	—
1028	C₂²×C₄	—	13	1	no	—
1029	C₂²×C₄	—	13	1	no	—
1030	C₂²×C₄	—	26	2	no	—
1031	C₂²×C₄	—	52	1	no	—
1032	C₂²×C₄	—	52	1	no	—
1033	C₂²×C₄	—	52	1	no	—
1034	C₂²×C₄	—	52	1	no	—
1035	C₂²×C₄	—	52	1	no	—
1036	C₂²×C₄	—	52	1	no	—
1037	C₂²×C₄	—	52	1	no	—
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	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1044	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1045	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1046	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1047	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1048	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1049	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1050	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1051	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1052	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1053	C₄⋊C₄	—	2	2	no	—
1054	C₄⋊C₄	—	4	1	no	—
1055	C₄⋊C₄	—	4	1	no	—
1056	C₄⋊C₄	—	4	1	no	—
1057	C₄⋊C₄	—	4	1	no	—
1058	C₄⋊C₄	—	4	1	no	—
1059	C₄⋊C₄	—	4	1	no	—
1060	C₄⋊C₄	—	4	1	no	—
1061	C₄⋊C₄	—	13	4	no	—
1062	C₄⋊C₄	—	13	4	no	—
1063	C₄⋊C₄	—	13	4	no	—
1064	C₄⋊C₄	—	13	4	no	—
1065	C₄⋊C₄	—	13	4	no	—
1066	C₄⋊C₄	—	13	4	no	—
1067	C₄⋊C₄	—	13	4	no	—
1068	C₄⋊C₄	—	13	4	no	—
1069	C₄⋊C₄	—	13	4	no	—
1070	C₄⋊C₄	—	13	4	no	—
1071	C₄⋊C₄	—	13	4	no	—
1072	C₄⋊C₄	—	13	4	no	—
1073	C₄⋊C₄	—	13	4	no	—
1074	C₄⋊C₄	—	13	4	no	—
1075	C₄⋊C₄	—	13	4	no	—
1076	C₄⋊C₄	—	13	4	no	—
1077	C₄⋊C₄	—	13	4	no	—
1078	C₄⋊C₄	—	26	2	no	—
1079	C₄⋊C₄	—	26	2	no	—
1080	C₄⋊C₄	—	26	2	no	—
1081	C₄⋊C₄	—	26	2	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	C₄⋊C₄	—	52	1	no	—
1092	C₄⋊C₄	—	52	1	no	—
1093	C₄⋊C₄	—	52	1	no	—
1094	C₄⋊C₄	—	52	1	no	—
1095	C₄⋊C₄	—	52	1	no	—
1096	C₄⋊C₄	C₂×C₄×D₁₃	1	4	yes	—
1097	C₄⋊C₄	C₂×C₄×D₁₃	1	4	yes	—
1098	C₄⋊C₄	C₂×C₄×D₁₃	1	4	yes	—
1099	C₂²⋊C₄	—	13	4	no	—
1100	C₂²⋊C₄	—	13	4	no	—
1101	C₂²⋊C₄	—	13	4	no	—
1102	C₂²⋊C₄	—	13	4	no	—
1103	C₂²⋊C₄	—	13	4	no	—
1104	C₂²⋊C₄	—	13	4	no	—
1105	C₂²⋊C₄	—	26	2	no	—
1106	C₂²⋊C₄	—	52	1	no	—
1107	C₂²⋊C₄	—	52	1	no	—
1108	C₂²⋊C₄	—	52	1	no	—
1109	C₂²⋊C₄	—	52	1	no	—
1110	C₂²⋊C₄	—	52	1	no	—
1111	C₄²	—	4	1	no	—
1112	C₄²	—	4	1	no	—
1113	C₄²	—	4	1	no	—
1114	C₄²	—	4	1	no	—
1115	C₄²	—	4	1	no	—
1116	C₄²	—	4	1	no	—
1117	C₄²	—	13	4	no	—
1118	C₄²	—	13	4	no	—
1119	C₄²	—	13	4	no	—
1120	C₄²	—	26	2	no	—
1121	C₄²	—	26	2	no	—
1122	C₄²	—	26	2	no	—
1123	C₄²	—	52	1	no	—
1124	C₄²	—	52	1	no	—
1125	C₄²	—	52	1	no	—
1126	C₄²	—	52	1	no	—
1127	C₄²	—	52	1	no	—
1128	C₄²	—	52	1	no	—
1129	C₄²	—	52	1	no	—
1130	C₄²	—	52	1	no	—
1131	C₄²	—	52	1	no	—
1132	C₄²	—	52	1	no	—
1133	C₄²	—	52	1	no	—
1134	C₄²	—	52	1	no	—
1135	C₄²	—	52	1	no	—
1136	C₄²	—	52	1	no	—
1137	C₄²	—	52	1	no	—
1138	C₄²	—	52	1	no	—
1139	C₄²	—	52	1	no	—
1140	C₄²	C₂×C₄×D₁₃	1	4	yes	—
1141	C₄²	C₂×C₄×D₁₃	1	4	yes	—
1142	C₄²	C₂×C₄×D₁₃	1	4	yes	—
1143	C₁₃	#34445	1	1	yes	characteristic, complemented, Sylow
1144	C₂³	—	13	2	no	—
1145	C₂³	—	26	1	no	—
1146	C₂³	—	26	1	no	—
1147	C₂³	—	26	1	no	—
1148	C₂³	—	26	1	no	—
1149	C₂³	—	26	1	no	—
1150	C₂³	—	26	1	no	—
1151	C₂³	C₂⁴×D₁₃	1	1	yes	characteristic
1152	Q₈	—	4	4	no	—
1153	Q₈	—	52	4	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	—	2	1	no	—
1181	C₂×C₄	—	2	1	no	—
1182	C₂×C₄	—	2	1	no	—
1183	C₂×C₄	—	2	1	no	—
1184	C₂×C₄	—	2	1	no	—
1185	C₂×C₄	—	2	1	no	—
1186	C₂×C₄	—	2	1	no	—
1187	C₂×C₄	—	2	1	no	—
1188	C₂×C₄	—	2	1	no	—
1189	C₂×C₄	—	2	1	no	—
1190	C₂×C₄	—	2	1	no	—
1191	C₂×C₄	—	13	2	no	—
1192	C₂×C₄	—	13	2	no	—
1193	C₂×C₄	—	13	2	no	—
1194	C₂×C₄	—	13	2	no	—
1195	C₂×C₄	—	13	2	no	—
1196	C₂×C₄	—	13	2	no	—
1197	C₂×C₄	—	13	2	no	—
1198	C₂×C₄	—	13	2	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	—	26	1	no	—
1227	C₂×C₄	—	26	1	no	—
1228	C₂×C₄	—	26	1	no	—
1229	C₂×C₄	—	26	1	no	—
1230	C₂×C₄	—	26	1	no	—
1231	C₂×C₄	—	26	1	no	—
1232	C₂×C₄	—	26	1	no	—
1233	C₂×C₄	—	26	1	no	—
1234	C₂×C₄	—	26	1	no	—
1235	C₂×C₄	—	26	1	no	—
1236	C₂×C₄	—	52	4	no	—
1237	C₂×C₄	—	104	2	no	—
1238	C₂×C₄	—	104	2	no	—
1239	C₂×C₄	C₂²×C₄×D₁₃	1	2	yes	—
1240	C₂×C₄	C₂²×C₄×D₁₃	1	2	yes	—
1241	C₂×C₄	C₂²×C₄×D₁₃	1	2	yes	—
1242	C₂×C₄	C₂²×C₄×D₁₃	1	2	yes	—
1243	C₂×C₄	C₂²×C₄×D₁₃	1	2	yes	—
1244	C₂×C₄	C₂²×C₄×D₁₃	1	2	yes	—
1245	C₂×C₄	C₂²×C₄×D₁₃	1	2	yes	—
1246	C₂×C₄	#88254	1	2	yes	—
1247	C₂²	—	26	2	no	—
1248	C₂²	—	26	2	no	—
1249	C₂²	—	26	2	no	—
1250	C₂²	—	52	1	no	—
1251	C₂²	—	52	1	no	—
1252	C₂²	—	52	1	no	—
1253	C₂²	—	52	1	no	—
1254	C₂²	C₂³×C₄×D₁₃	1	1	yes	characteristic
1255	C₂²	C₂×#88254	1	1	yes	characteristic
1256	C₂²	#11719648	1	1	yes	characteristic
1257	C₂²	#11719648	1	1	yes	characteristic
1258	C₂²	#11719648	1	1	yes	characteristic
1259	C₂²	#11719650	1	1	yes	characteristic
1260	C₂²	D₁₃×2₋¹⁺⁴	1	1	yes	characteristic
1261	C₄	—	2	2	no	—
1262	C₄	—	2	2	no	—
1263	C₄	—	2	2	no	—
1264	C₄	—	2	2	no	—
1265	C₄	—	2	2	no	—
1266	C₄	—	2	2	no	—
1267	C₄	—	2	2	no	—
1268	C₄	—	2	2	no	—
1269	C₄	—	4	1	no	—
1270	C₄	—	4	1	no	—
1271	C₄	—	4	1	no	—
1272	C₄	—	4	1	no	—
1273	C₄	—	4	1	no	—
1274	C₄	—	4	1	no	—
1275	C₄	—	4	1	no	—
1276	C₄	—	26	2	no	—
1277	C₄	—	26	2	no	—
1278	C₄	—	26	2	no	—
1279	C₄	—	26	2	no	—
1280	C₄	—	26	2	no	—
1281	C₄	—	26	2	no	—
1282	C₄	—	26	2	no	—
1283	C₄	—	26	2	no	—
1284	C₄	—	52	1	no	—
1285	C₄	—	52	1	no	—
1286	C₄	—	52	1	no	—
1287	C₄	—	52	1	no	—
1288	C₄	—	52	1	no	—
1289	C₄	—	52	1	no	—
1290	C₄	—	52	1	no	—
1291	C₂	—	52	2	no	—
1292	C₂	#13128037	1	1	yes	characteristic
1293	C₂	#13128047	1	1	yes	characteristic
1294	C₂	C₄×#88254	1	1	yes	characteristic
1295	C₂	#13129288	1	1	yes	characteristic
1296	C₂	#13129316	1	1	yes	characteristic
1297	C₂	#13129455	1	1	yes	characteristic
1298	C₂	#13129505	1	1	yes	characteristic

	subgroup	G/H
center, Frattini	C₂³	C₂⁴×D₁₃
commutator	C₂²×C₁₃	C₂⁴×C₄
Fitting	C₁₃×#2355	C₂
socle, cosocle	C₂³×C₁₃	C₂⁵
prime radical	C₂³×D₁₃	C₂⁴
hypercenter	#2355	D₁₃
hypocenter	C₁₃	#34445
LCS	G ▷ C₂²×C₁₃ ▷ C₁₃
UCS	C₁ ◁ C₂³ ◁ #2355

Complements

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

N	H ≅ G/N	type
3. #13118021	C₂	semidirect
4. #13118015	C₂	semidirect
9. #13117938	C₂	semidirect
10. #13117930	C₂	semidirect
11. #13117927	C₂	semidirect
12. #13117924	C₂	semidirect
14. #13117801	C₂	semidirect
17. #13117640	C₂	semidirect
18. #13117639	C₂	semidirect
19. #13117636	C₂	semidirect
20. #13117635	C₂	semidirect
25. #13117575	C₂	semidirect
27. #13117484	C₂	semidirect
28. C₄×#88143	C₂	semidirect
30. #13117312	C₂	semidirect
31. C₁₃×#2355	C₂	semidirect
35. #11719288	C₄	semidirect
193. C₄×Q₈×C₁₃	C₂×C₄	semidirect
215. #88198	C₂×C₄	semidirect
289. #88144	C₂×C₄	semidirect
290. #88143	C₂×C₄	semidirect
291. #88143	C₂×C₄	semidirect
295. #88124	C₂×C₄	semidirect
296. #88124	C₂×C₄	semidirect
297. C₄×Dic₂₆	C₂×C₄	semidirect
509. #2355	D₁₃	semidirect
847. C₄×Q₈	C₄×D₁₃	semidirect
1143. C₁₃	#34445	semidirect

Maximal subgroups

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

subgroup	index
C₂×#11719288	2
#13118029	2
#13118021	2
#13118015	2
#13118000	2
#13117961	2
#13117952	2
#13117950	2
#13117938	2
#13117930	2
#13117927	2
#13117924	2
#13117918	2
#13117801	2
#13117730	2
#13117689	2
#13117640	2
#13117639	2
#13117636	2
#13117635	2
#13117617	2
#13117611	2
#13117607	2
#13117591	2
#13117575	2
#13117568	2
#13117484	2
C₄×#88143	2
#13117386	2
#13117312	2
C₁₃×#2355	2
#34445	13