Subgroups — #16808843

Order 3328.

1626 conjugacy classes of subgroups.

The subgroup lattice has 1066 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#13131749	C₂	1	2	yes	maximal, complemented
2	#13131748	C₂	1	2	yes	maximal, complemented
3	#13131746	C₂	1	2	yes	maximal, complemented
4	#13131745	C₂	1	2	yes	maximal, complemented
5	#13131744	C₂	1	2	yes	maximal, complemented
6	#13131742	C₂	1	2	yes	maximal, complemented
7	#13131741	C₂	1	2	yes	maximal, complemented
8	#13131740	C₂	1	2	yes	maximal, complemented
9	#13131634	C₂	1	1	yes	maximal, characteristic, complemented
10	#13131634	C₂	1	1	yes	maximal, characteristic, complemented
11	#13131632	C₂	1	1	yes	maximal, characteristic, complemented
12	#13131630	C₂	1	1	yes	maximal, characteristic, complemented
13	#13131629	C₂	1	1	yes	maximal, characteristic, complemented
14	#13131628	C₂	1	1	yes	maximal, characteristic, complemented
15	#13131626	C₂	1	1	yes	maximal, characteristic, complemented
16	#13131625	C₂	1	1	yes	maximal, characteristic, complemented
17	#13131529	C₂	1	1	yes	maximal, characteristic
18	#13131529	C₂	1	1	yes	maximal, characteristic
19	#13131527	C₂	1	1	yes	maximal, characteristic
20	#13131526	C₂	1	1	yes	maximal, characteristic
21	#13131517	C₂	1	1	yes	maximal, characteristic
22	D₁₃⋊#433	C₂	1	1	yes	maximal, characteristic
23	#13128240	C₂	1	1	yes	maximal, characteristic
24	C₁₃×#544	C₄	1	1	yes	characteristic
25	#11719434	C₄	1	1	yes	characteristic
26	#11719434	C₄	1	1	yes	characteristic
27	#11719434	C₄	1	2	yes	—
28	#11719433	C₂²	1	1	yes	characteristic
29	#11719433	C₂²	1	1	yes	characteristic
30	#11719433	C₂²	1	2	yes	—
31	#11719394	C₄	1	1	yes	characteristic
32	#11719394	C₄	1	1	yes	characteristic
33	#11719394	C₄	1	2	yes	—
34	#11719393	C₂²	1	1	yes	characteristic
35	#11719393	C₂²	1	1	yes	characteristic
36	#11719393	C₂²	1	2	yes	—
37	#11719339	C₄	1	2	yes	—
38	#11719339	C₄	1	2	yes	—
39	#11719327	C₂²	1	2	yes	—
40	#11719327	C₂²	1	2	yes	—
41	D₁₃×#117	C₂²	1	1	yes	characteristic
42	D₁₃×#117	C₂²	1	1	yes	characteristic
43	#11719224	C₄	1	1	yes	characteristic
44	#11719224	C₄	1	1	yes	characteristic
45	C₂×#88146	C₂²	1	1	yes	characteristic
46	#11719205	C₄	1	1	yes	characteristic
47	#11719158	C₂²	1	2	yes	complemented
48	#11719158	C₂²	1	2	yes	complemented
49	#11719158	C₂²	1	2	yes	complemented
50	#11719158	C₂²	1	2	yes	complemented
51	#11719158	C₂²	1	2	yes	complemented
52	#11719158	C₂²	1	2	yes	complemented
53	Q₈×#1057	C₂²	1	2	yes	complemented
54	Q₈×#1057	C₂²	1	2	yes	complemented
55	#11719130	C₂²	1	2	yes	—
56	#11719128	C₂²	1	2	yes	—
57	#11719127	C₂²	1	1	yes	characteristic
58	#11719127	C₂²	1	1	yes	characteristic
59	#11719125	C₂²	1	2	yes	—
60	D₁₃⋊(C₂²⋊C₈)	C₂²	1	1	yes	characteristic
61	D₁₃⋊(C₂²⋊C₈)	C₂²	1	1	yes	characteristic
62	#11719119	C₂²	1	2	yes	—
63	#11719080	C₂²	1	2	yes	complemented
64	#11719080	C₂²	1	2	yes	complemented
65	#11719080	C₂²	1	2	yes	complemented
66	#11719080	C₂²	1	2	yes	complemented
67	#11719080	C₂²	1	2	yes	complemented
68	#11719080	C₂²	1	2	yes	complemented
69	#11719079	C₂²	1	1	yes	characteristic
70	#11719079	C₂²	1	1	yes	characteristic
71	#11719079	C₂²	1	1	yes	characteristic
72	#11719079	C₂²	1	1	yes	characteristic
73	#11719079	C₂²	1	1	yes	characteristic
74	#11719079	C₂²	1	1	yes	characteristic
75	#11719079	C₂²	1	1	yes	characteristic
76	#11719079	C₂²	1	1	yes	characteristic
77	#11719078	C₂²	1	2	yes	complemented
78	#11719078	C₂²	1	2	yes	complemented
79	#11719078	C₂²	1	2	yes	complemented
80	#11719078	C₂²	1	2	yes	complemented
81	#11719078	C₂²	1	2	yes	complemented
82	#11719078	C₂²	1	2	yes	complemented
83	#11719078	C₂²	1	2	yes	complemented
84	#11719078	C₂²	1	2	yes	complemented
85	#11719078	C₂²	1	2	yes	complemented
86	#11719078	C₂²	1	2	yes	complemented
87	#11719078	C₂²	1	2	yes	complemented
88	#11719078	C₂²	1	2	yes	complemented
89	#11719077	C₂²	1	2	yes	—
90	#11719077	C₂²	1	2	yes	—
91	#11719077	C₂²	1	2	yes	—
92	#11719077	C₂²	1	2	yes	—
93	#11719077	C₂²	1	1	yes	characteristic
94	#11719077	C₂²	1	2	yes	—
95	#11719077	C₂²	1	1	yes	characteristic
96	#11719077	C₂²	1	1	yes	characteristic
97	#11719077	C₂²	1	2	yes	—
98	#11719077	C₂²	1	1	yes	characteristic
99	#11719074	C₂²	1	2	yes	complemented
100	#11719074	C₂²	1	2	yes	complemented
101	#11719074	C₂²	1	2	yes	complemented
102	#11719074	C₂²	1	2	yes	complemented
103	#11719074	C₂²	1	2	yes	complemented
104	#11719074	C₂²	1	2	yes	complemented
105	#11719072	C₂²	1	1	yes	characteristic
106	#11719072	C₂²	1	1	yes	characteristic
107	#11719072	C₂²	1	1	yes	characteristic
108	#11719072	C₂²	1	1	yes	characteristic
109	#11719072	C₂²	1	1	yes	characteristic
110	#11719072	C₂²	1	1	yes	characteristic
111	#11719072	C₂²	1	1	yes	characteristic
112	#11719072	C₂²	1	1	yes	characteristic
113	#11719068	C₂²	1	2	yes	—
114	#11719068	C₂²	1	2	yes	—
115	#11719068	C₂²	1	2	yes	—
116	#11719068	C₂²	1	2	yes	—
117	#11719068	C₂²	1	1	yes	characteristic
118	#11719068	C₂²	1	2	yes	—
119	#11719068	C₂²	1	1	yes	characteristic
120	#11719068	C₂²	1	1	yes	characteristic
121	#11719068	C₂²	1	2	yes	—
122	#11719068	C₂²	1	1	yes	characteristic
123	#11719054	C₂²	1	2	yes	—
124	#11719054	C₂²	1	2	yes	—
125	#11719053	C₂²	1	1	yes	characteristic
126	#11719052	C₂²	1	1	yes	characteristic
127	D₁₃⋊(C₄⋊C₈)	C₂²	1	1	yes	characteristic
128	D₁₃⋊(C₄⋊C₈)	C₂²	1	1	yes	characteristic
129	#11719049	C₂²	1	2	yes	—
130	#11719049	C₂²	1	2	yes	—
131	C₄×#6118	C₂²	1	1	yes	characteristic
132	C₄×#6118	C₂²	1	1	yes	characteristic
133	#11719047	C₂²	1	1	yes	characteristic
134	C₄×D₁₃⋊C₈	C₂²	1	1	yes	characteristic
135	C₂²×C₄×D₁₃	C₂³	1	1	yes	characteristic
136	C₂×#6118	C₂³	1	1	yes	characteristic
137	C₂×#6118	C₂³	1	1	yes	characteristic
138	C₂×#6118	C₂³	1	1	yes	characteristic
139	C₂×#6118	C₂³	1	1	yes	characteristic
140	C₂×D₁₃⋊C₈	C₂³	1	1	yes	characteristic
141	C₂×D₁₃⋊C₈	C₂³	1	1	yes	characteristic
142	C₂×D₁₃⋊C₈	C₂³	1	1	yes	characteristic
143	C₂×D₁₃⋊C₈	C₂³	1	1	yes	characteristic
144	C₁₃×C₄⋊Q₈	C₂×C₄	1	1	yes	characteristic
145	C₁₃×C₄⋊Q₈	C₂×C₄	1	1	yes	characteristic
146	C₁₃×C₄⋊Q₈	C₂×C₄	1	2	yes	—
147	C₁₃×#125	C₂×C₄	1	1	yes	characteristic
148	C₁₃×#125	C₂×C₄	1	1	yes	characteristic
149	C₁₃×#125	C₂×C₄	1	2	yes	—
150	C₁₃×C₂²⋊Q₈	C₂×C₄	1	2	yes	—
151	C₁₃×C₂²⋊Q₈	C₂×C₄	1	2	yes	—
152	C₁₃×#117	C₂×C₄	1	1	yes	characteristic
153	C₁₃×#117	C₂×C₄	1	1	yes	characteristic
154	C₂×C₁₃×C₄⋊C₄	C₂×C₄	1	1	yes	characteristic
155	#88200	C₂×C₄	1	2	yes	—
156	#88200	C₂×C₄	1	2	yes	—
157	#88200	C₂×C₄	1	2	yes	—
158	#88200	C₂×C₄	1	2	yes	—
159	Q₈×Dic₁₃	C₂³	1	2	yes	—
160	Q₈×Dic₁₃	C₂³	1	2	yes	—
161	#88198	C₂×C₄	1	2	yes	—
162	#88198	C₂×C₄	1	2	yes	—
163	C₂×#6103	C₂×C₄	1	2	yes	—
164	#88180	C₂×C₄	1	1	yes	characteristic
165	#88180	C₂×C₄	1	1	yes	characteristic
166	C₂×C₄⋊Dic₁₃	C₂×C₄	1	1	yes	characteristic
167	#88178	C₂×C₄	1	2	yes	—
168	#88178	C₂×C₄	1	2	yes	—
169	C₂×C₄×Dic₁₃	C₂³	1	2	yes	—
170	#88151	C₂×C₄	1	2	yes	—
171	#88151	C₂×C₄	1	2	yes	—
172	#88151	C₂×C₄	1	2	yes	—
173	#88151	C₂×C₄	1	2	yes	—
174	#88150	C₂×C₄	1	2	yes	—
175	#88150	C₂×C₄	1	2	yes	—
176	#88150	C₂×C₄	1	2	yes	—
177	#88150	C₂×C₄	1	2	yes	—
178	#88150	C₂×C₄	1	2	yes	—
179	#88150	C₂×C₄	1	2	yes	—
180	#88150	C₂×C₄	1	2	yes	—
181	#88150	C₂×C₄	1	2	yes	—
182	#88146	C₂×C₄	1	2	yes	—
183	#88146	C₂×C₄	1	1	yes	characteristic
184	#88146	C₂×C₄	1	1	yes	characteristic
185	#88146	C₂³	1	1	yes	characteristic
186	#88146	C₂³	1	1	yes	characteristic
187	#88146	C₂³	1	1	yes	characteristic
188	#88146	C₂³	1	1	yes	characteristic
189	#88146	C₂³	1	2	yes	—
190	#88146	C₂³	1	1	yes	characteristic
191	#88146	C₂³	1	1	yes	characteristic
192	C₄⋊C₄×D₁₃	C₂×C₄	1	1	yes	characteristic
193	C₄⋊C₄×D₁₃	C₂×C₄	1	1	yes	characteristic
194	C₄⋊C₄×D₁₃	C₂×C₄	1	1	yes	characteristic
195	C₄⋊C₄×D₁₃	C₂×C₄	1	1	yes	characteristic
196	#88144	C₂×C₄	1	1	yes	characteristic
197	#88144	C₂×C₄	1	1	yes	characteristic
198	#88144	C₂×C₄	1	2	yes	—
199	#88144	C₂×C₄	1	1	yes	characteristic
200	#88144	C₂×C₄	1	1	yes	characteristic
201	#88144	C₂×C₄	1	2	yes	—
202	#88143	C₂×C₄	1	2	yes	—
203	#88143	C₂×C₄	1	2	yes	—
204	#88143	C₂×C₄	1	2	yes	—
205	#88143	C₂×C₄	1	2	yes	—
206	#88142	C₂×C₄	1	1	yes	characteristic
207	#88142	C₂×C₄	1	1	yes	characteristic
208	#88142	C₂×C₄	1	2	yes	—
209	#88142	C₂×C₄	1	1	yes	characteristic
210	#88142	C₂×C₄	1	1	yes	characteristic
211	#88142	C₂×C₄	1	2	yes	—
212	#88142	C₂×C₄	1	2	yes	—
213	#88142	C₂×C₄	1	2	yes	—
214	#88141	C₂³	1	2	yes	—
215	#88141	C₂³	1	2	yes	—
216	#88141	C₂³	1	2	yes	—
217	#88141	C₂³	1	2	yes	—
218	#88141	C₂³	1	2	yes	—
219	#88141	C₂³	1	2	yes	—
220	C₂²⋊C₄×D₁₃	C₂×C₄	1	2	yes	—
221	C₂²⋊C₄×D₁₃	C₂×C₄	1	1	yes	characteristic
222	C₂²⋊C₄×D₁₃	C₂×C₄	1	1	yes	characteristic
223	#88132	C₂×C₄	1	2	yes	—
224	#88132	C₂×C₄	1	2	yes	—
225	#88132	C₂×C₄	1	2	yes	—
226	#88132	C₂×C₄	1	2	yes	—
227	#88131	C₂³	1	2	yes	—
228	#88131	C₂³	1	1	yes	characteristic
229	#88131	C₂³	1	1	yes	characteristic
230	#88126	C₂×C₄	1	2	yes	—
231	#88126	C₂×C₄	1	1	yes	characteristic
232	#88126	C₂×C₄	1	1	yes	characteristic
233	C₄²×D₁₃	C₂³	1	1	yes	characteristic
234	C₄²×D₁₃	C₂³	1	1	yes	characteristic
235	C₄²×D₁₃	C₂³	1	2	yes	—
236	#88124	C₂×C₄	1	1	yes	characteristic
237	#88124	C₂×C₄	1	1	yes	characteristic
238	#88124	C₂×C₄	1	2	yes	—
239	#88123	C₂×C₄	1	1	yes	characteristic
240	#88123	C₂×C₄	1	1	yes	characteristic
241	#88123	C₂×C₄	1	2	yes	—
242	C₂²⋊#1057	C₂³	1	1	yes	characteristic
243	C₂²⋊#1057	C₂³	1	2	yes	—
244	C₂²⋊#1057	C₂³	1	1	yes	characteristic
245	C₂²⋊#1057	C₂³	1	1	yes	characteristic
246	C₂²⋊#1057	C₂³	1	1	yes	characteristic
247	C₂²⋊#1057	C₂³	1	2	yes	—
248	#88112	C₂³	1	2	yes	—
249	#88112	C₂³	1	2	yes	—
250	#88112	C₂³	1	2	yes	—
251	#88112	C₂³	1	2	yes	—
252	#88112	C₂³	1	1	yes	characteristic
253	#88112	C₂³	1	1	yes	characteristic
254	#88112	C₂³	1	1	yes	characteristic
255	#88112	C₂³	1	1	yes	characteristic
256	#88112	C₂³	1	2	yes	—
257	#88112	C₂³	1	2	yes	—
258	#88112	C₂³	1	2	yes	—
259	#88112	C₂³	1	2	yes	—
260	#88112	C₂³	1	2	yes	—
261	#88112	C₂³	1	2	yes	—
262	#88111	C₂³	1	1	yes	characteristic
263	#88111	C₂³	1	1	yes	characteristic
264	#88111	C₂³	1	2	yes	—
265	#88111	C₂³	1	2	yes	—
266	#88111	C₂³	1	1	yes	characteristic
267	#88111	C₂³	1	1	yes	characteristic
268	#88110	C₂³	1	1	yes	characteristic
269	#88110	C₂³	1	1	yes	characteristic
270	#88110	C₂³	1	1	yes	characteristic
271	#88110	C₂³	1	1	yes	characteristic
272	#88110	C₂³	1	2	yes	—
273	#88110	C₂³	1	2	yes	—
274	#88110	C₂³	1	2	yes	—
275	#88110	C₂³	1	2	yes	—
276	#88110	C₂³	1	2	yes	—
277	#88110	C₂³	1	2	yes	—
278	#88110	C₂³	1	2	yes	—
279	#88110	C₂³	1	2	yes	—
280	#88110	C₂³	1	2	yes	—
281	#88110	C₂³	1	2	yes	—
282	C₄⋊#1057	C₂³	1	1	yes	characteristic
283	C₄⋊#1057	C₂³	1	1	yes	characteristic
284	C₄⋊#1057	C₂³	1	1	yes	characteristic
285	C₄⋊#1057	C₂³	1	1	yes	characteristic
286	C₄⋊#1057	C₂³	1	2	yes	—
287	C₄⋊#1057	C₂³	1	2	yes	—
288	C₄⋊#1057	C₂³	1	2	yes	—
289	C₄⋊#1057	C₂³	1	2	yes	—
290	C₄⋊#1057	C₂³	1	2	yes	—
291	C₄⋊#1057	C₂³	1	2	yes	—
292	C₄⋊#1057	C₂³	1	2	yes	—
293	C₄⋊#1057	C₂³	1	2	yes	—
294	C₄⋊#1057	C₂³	1	2	yes	—
295	C₄⋊#1057	C₂³	1	2	yes	—
296	C₄×#1057	C₂³	1	1	yes	characteristic
297	C₄×#1057	C₂³	1	1	yes	characteristic
298	C₄×#1057	C₂³	1	1	yes	characteristic
299	C₄×#1057	C₂³	1	1	yes	characteristic
300	C₄×#1057	C₂³	1	2	yes	—
301	C₄×#1057	C₂³	1	2	yes	—
302	C₄×#1057	C₂³	1	2	yes	—
303	C₄×#1057	C₂³	1	2	yes	—
304	C₄×#1057	C₂³	1	2	yes	—
305	C₄×#1057	C₂³	1	2	yes	—
306	C₄×#1057	C₂³	1	2	yes	—
307	C₄×#1057	C₂³	1	2	yes	—
308	C₄×#1057	C₂³	1	2	yes	—
309	C₄×#1057	C₂³	1	2	yes	—
310	#60252	—	13	1	no	maximal, Sylow
311	C₂³×D₁₃	C₂²×C₄	1	1	yes	characteristic
312	C₂×Q₈×C₁₃	C₂²×C₄	1	2	yes	—
313	C₂×Q₈×C₁₃	C₂²×C₄	1	2	yes	—
314	C₂²×C₄×C₁₃	C₂²×C₄	1	1	yes	characteristic
315	C₂²×C₄×C₁₃	C₂²×C₄	1	2	yes	—
316	C₂²×Dic₁₃	C₂²×C₄	1	2	yes	—
317	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
318	C₂×C₄×D₁₃	—	2	2	no	—
319	C₂×C₄×D₁₃	—	2	2	no	—
320	C₂×C₄×D₁₃	C₂²×C₄	1	1	yes	characteristic
321	C₂×C₄×D₁₃	C₂²×C₄	1	1	yes	characteristic
322	C₂×C₄×D₁₃	C₂²×C₄	1	2	yes	—
323	C₂×C₄×D₁₃	C₂²×C₄	1	1	yes	characteristic
324	C₂×C₄×D₁₃	C₂²×C₄	1	1	yes	characteristic
325	C₂×C₄×D₁₃	C₂²×C₄	1	2	yes	—
326	C₂×C₄×D₁₃	C₂²×C₄	1	1	yes	characteristic
327	C₂×C₄×D₁₃	C₂²×C₄	1	1	yes	characteristic
328	C₂×C₄×D₁₃	C₂⁴	1	1	yes	characteristic
329	C₂×C₄×D₁₃	C₂⁴	1	1	yes	characteristic
330	C₂×Dic₂₆	C₂²×C₄	1	2	yes	—
331	C₂×Dic₂₆	C₂²×C₄	1	2	yes	—
332	C₂×Dic₂₆	C₂²×C₄	1	2	yes	—
333	C₂×Dic₂₆	C₂²×C₄	1	2	yes	—
334	C₂×Dic₂₆	C₂²×C₄	1	2	yes	—
335	C₂×Dic₂₆	C₂²×C₄	1	2	yes	—
336	C₂×#1057	C₂⁴	1	1	yes	characteristic
337	C₂×#1057	C₂⁴	1	1	yes	characteristic
338	C₂×#1057	C₂⁴	1	2	yes	—
339	C₂×#1057	C₂⁴	1	2	yes	—
340	C₂×#1057	C₂⁴	1	2	yes	—
341	C₂×#1057	C₂⁴	1	2	yes	—
342	C₂×#1057	C₂⁴	1	1	yes	characteristic
343	C₂×#1057	C₂⁴	1	1	yes	characteristic
344	C₂×#1057	C₂⁴	1	1	yes	characteristic
345	C₂×#1057	C₂⁴	1	1	yes	characteristic
346	C₂×#1057	C₂⁴	1	1	yes	characteristic
347	C₂×#1057	C₂⁴	1	1	yes	characteristic
348	#6118	—	2	2	no	—
349	#6118	—	2	2	no	—
350	#6118	—	2	2	no	—
351	#6118	—	2	2	no	—
352	D₁₃⋊C₈	—	2	2	no	—
353	D₁₃⋊C₈	—	2	2	no	—
354	D₁₃⋊C₈	—	2	2	no	—
355	D₁₃⋊C₈	—	2	2	no	—
356	C₁₃×C₄⋊C₄	C₂²×C₄	1	2	yes	—
357	C₁₃×C₄⋊C₄	C₂²×C₄	1	2	yes	—
358	C₁₃×C₄⋊C₄	C₂²×C₄	1	2	yes	—
359	C₁₃×C₄⋊C₄	C₂²×C₄	1	2	yes	—
360	C₁₃×C₄⋊C₄	C₂²×C₄	1	2	yes	—
361	C₁₃×C₄⋊C₄	C₂²×C₄	1	2	yes	—
362	C₁₃×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
363	C₁₃×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
364	C₁₃×C₄⋊C₄	C₂²×C₄	1	2	yes	—
365	C₁₃×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
366	C₁₃×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
367	C₁₃×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
368	C₁₃×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
369	C₁₃×C₂²⋊C₄	C₂²×C₄	1	2	yes	—
370	C₁₃×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
371	C₁₃×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
372	C₄²×C₁₃	C₂²×C₄	1	2	yes	—
373	C₄²×C₁₃	C₂²×C₄	1	1	yes	characteristic
374	C₄²×C₁₃	C₂²×C₄	1	1	yes	characteristic
375	C₂²⋊Dic₁₃	C₂²×C₄	1	2	yes	—
376	C₂²⋊Dic₁₃	C₂²×C₄	1	1	yes	characteristic
377	C₂²⋊Dic₁₃	C₂²×C₄	1	1	yes	characteristic
378	#6103	C₂²×C₄	1	1	yes	characteristic
379	#6103	C₂²×C₄	1	1	yes	characteristic
380	#6103	C₂²×C₄	1	2	yes	—
381	#6103	C₂²×C₄	1	1	yes	characteristic
382	#6103	C₂²×C₄	1	1	yes	characteristic
383	#6103	C₂²×C₄	1	2	yes	—
384	#6103	C₂²×C₄	1	2	yes	—
385	#6103	C₂²×C₄	1	2	yes	—
386	#6103	C₂²×C₄	1	2	yes	—
387	#6103	C₂²×C₄	1	2	yes	—
388	C₄⋊Dic₁₃	C₂²×C₄	1	1	yes	characteristic
389	C₄⋊Dic₁₃	C₂²×C₄	1	1	yes	characteristic
390	C₄⋊Dic₁₃	C₂²×C₄	1	2	yes	—
391	C₄⋊Dic₁₃	C₂²×C₄	1	1	yes	characteristic
392	C₄⋊Dic₁₃	C₂²×C₄	1	1	yes	characteristic
393	C₄⋊Dic₁₃	C₂²×C₄	1	2	yes	—
394	C₄⋊Dic₁₃	C₂²×C₄	1	2	yes	—
395	C₄⋊Dic₁₃	C₂²×C₄	1	2	yes	—
396	C₄⋊Dic₁₃	C₂²×C₄	1	2	yes	—
397	C₄⋊Dic₁₃	C₂²×C₄	1	1	yes	characteristic
398	C₄⋊Dic₁₃	C₂²×C₄	1	1	yes	characteristic
399	C₄⋊Dic₁₃	C₂²×C₄	1	2	yes	—
400	C₄⋊Dic₁₃	C₂²×C₄	1	2	yes	—
401	#6101	C₂²×C₄	1	2	yes	—
402	#6101	C₂²×C₄	1	2	yes	—
403	#6101	C₂²×C₄	1	2	yes	—
404	#6101	C₂²×C₄	1	2	yes	—
405	#6101	C₂²×C₄	1	2	yes	—
406	#6101	C₂²×C₄	1	2	yes	—
407	#6101	C₂²×C₄	1	2	yes	—
408	#6101	C₂²×C₄	1	2	yes	—
409	#6101	C₂²×C₄	1	2	yes	—
410	#6101	C₂²×C₄	1	1	yes	characteristic
411	#6101	C₂²×C₄	1	1	yes	characteristic
412	#6101	C₂²×C₄	1	2	yes	—
413	#6101	C₂²×C₄	1	1	yes	characteristic
414	#6101	C₂²×C₄	1	1	yes	characteristic
415	#6101	C₂²×C₄	1	2	yes	—
416	#6101	C₂²×C₄	1	2	yes	—
417	#6101	C₂²×C₄	1	2	yes	—
418	#6101	C₂²×C₄	1	2	yes	—
419	C₄×Dic₁₃	C₂²×C₄	1	2	yes	—
420	C₄×Dic₁₃	C₂²×C₄	1	1	yes	characteristic
421	C₄×Dic₁₃	C₂²×C₄	1	1	yes	characteristic
422	C₄×Dic₁₃	C₂²×C₄	1	2	yes	—
423	C₄×Dic₁₃	C₂²×C₄	1	2	yes	—
424	C₄×Dic₁₃	C₂⁴	1	1	yes	characteristic
425	C₄×Dic₁₃	C₂⁴	1	1	yes	characteristic
426	C₄×Dic₁₃	C₂⁴	1	2	yes	—
427	C₄×Dic₁₃	C₂⁴	1	1	yes	characteristic
428	C₄×Dic₁₃	C₂⁴	1	1	yes	characteristic
429	C₄×Dic₁₃	C₂⁴	1	2	yes	—
430	C₄×Dic₁₃	C₂⁴	1	2	yes	—
431	C₄×Dic₁₃	C₂⁴	1	2	yes	—
432	#3458	—	13	1	no	—
433	#2987	—	13	2	no	—
434	#2987	—	13	2	no	—
435	#2986	—	13	2	no	—
436	#2986	—	13	2	no	—
437	#2985	—	13	2	no	—
438	#2985	—	13	2	no	—
439	#2985	—	13	2	no	—
440	#2985	—	13	2	no	—
441	#2962	—	13	1	no	—
442	#2962	—	13	1	no	—
443	#2962	—	13	1	no	—
444	#2962	—	13	1	no	—
445	#2961	—	13	1	no	—
446	#2961	—	13	1	no	—
447	#2960	—	13	1	no	—
448	#2960	—	13	1	no	—
449	#2924	—	13	1	no	—
450	#2924	—	13	1	no	—
451	#2924	—	13	1	no	—
452	#2924	—	13	1	no	—
453	#2921	—	13	1	no	—
454	C₂×#433	—	13	1	no	—
455	C₂³×C₁₃	C₂³×C₄	1	1	yes	characteristic
456	C₂²×D₁₃	—	2	2	no	—
457	C₂²×D₁₃	—	4	1	no	—
458	C₂²×D₁₃	—	4	1	no	—
459	C₂²×D₁₃	C₂³×C₄	1	1	yes	characteristic
460	C₂²×D₁₃	C₂³×C₄	1	1	yes	characteristic
461	Q₈×C₁₃	—	4	2	no	—
462	Q₈×C₁₃	—	4	2	no	—
463	C₂×C₄×C₁₃	—	2	2	no	—
464	C₂×C₄×C₁₃	—	4	2	no	—
465	C₂×C₄×C₁₃	C₂³×C₄	1	1	yes	characteristic
466	C₂×C₄×C₁₃	C₂³×C₄	1	2	yes	—
467	C₂×C₄×C₁₃	C₂³×C₄	1	2	yes	—
468	C₂×C₄×C₁₃	C₂³×C₄	1	1	yes	characteristic
469	C₂×C₄×C₁₃	C₂³×C₄	1	1	yes	characteristic
470	C₂×C₄×C₁₃	C₂³×C₄	1	2	yes	—
471	C₂×C₄×C₁₃	C₂³×C₄	1	1	yes	characteristic
472	C₂×C₄×C₁₃	C₂³×C₄	1	1	yes	characteristic
473	C₂×C₄×C₁₃	C₂³×C₄	1	2	yes	—
474	C₂×C₄×C₁₃	C₂³×C₄	1	1	yes	characteristic
475	C₂×Dic₁₃	—	2	1	no	—
476	C₂×Dic₁₃	—	2	1	no	—
477	C₂×Dic₁₃	—	4	2	no	—
478	C₂×Dic₁₃	C₂³×C₄	1	1	yes	characteristic
479	C₂×Dic₁₃	C₂³×C₄	1	2	yes	—
480	C₂×Dic₁₃	C₂³×C₄	1	1	yes	characteristic
481	C₂×Dic₁₃	C₂³×C₄	1	1	yes	characteristic
482	C₂×Dic₁₃	C₂³×C₄	1	2	yes	—
483	C₂×Dic₁₃	C₂³×C₄	1	2	yes	—
484	C₂×Dic₁₃	C₂³×C₄	1	2	yes	—
485	C₂×Dic₁₃	C₂³×C₄	1	1	yes	characteristic
486	C₂×Dic₁₃	C₂³×C₄	1	1	yes	characteristic
487	C₂×Dic₁₃	C₂⁵	1	1	yes	characteristic
488	C₄×D₁₃	—	2	2	no	—
489	C₄×D₁₃	—	2	2	no	—
490	C₄×D₁₃	—	2	1	no	—
491	C₄×D₁₃	—	2	1	no	—
492	C₄×D₁₃	—	4	1	no	—
493	C₄×D₁₃	—	4	1	no	—
494	C₄×D₁₃	—	4	2	no	—
495	C₄×D₁₃	—	4	1	no	—
496	C₄×D₁₃	—	4	1	no	—
497	C₄×D₁₃	—	4	2	no	—
498	C₄×D₁₃	2₋¹⁺⁴	1	2	yes	—
499	C₄×D₁₃	2₋¹⁺⁴	1	2	yes	—
500	Dic₂₆	—	4	2	no	—
501	Dic₂₆	—	4	2	no	—
502	Dic₂₆	—	4	2	no	—
503	Dic₂₆	—	4	2	no	—
504	Dic₂₆	—	4	2	no	—
505	Dic₂₆	—	4	2	no	—
506	#1057	—	2	1	no	—
507	#1057	—	2	1	no	—
508	#1057	—	2	1	no	—
509	#1057	—	2	1	no	—
510	#1057	—	2	1	no	—
511	#1057	—	2	1	no	—
512	#1057	—	2	1	no	—
513	#1057	—	2	1	no	—
514	#1057	—	2	2	no	—
515	#1057	—	2	2	no	—
516	#1057	—	2	2	no	—
517	#1057	—	2	2	no	—
518	#544	—	13	2	no	—
519	#544	—	13	1	no	—
520	#544	—	13	1	no	—
521	#544	—	13	2	no	—
522	#544	—	13	1	no	—
523	#544	—	13	1	no	—
524	#544	—	13	1	no	—
525	#544	—	13	1	no	—
526	#544	—	13	1	no	—
527	#544	#261	1	1	yes	characteristic
528	#543	—	13	2	no	—
529	#543	—	13	2	no	—
530	#533	—	13	1	no	—
531	#533	—	13	1	no	—
532	#533	—	13	2	no	—
533	#533	—	13	1	no	—
534	#533	—	13	1	no	—
535	#533	—	13	2	no	—
536	#533	—	13	2	no	—
537	#533	—	13	2	no	—
538	C₂×#117	—	13	1	no	—
539	C₂×#117	—	13	1	no	—
540	C₂×#117	—	13	1	no	—
541	#446	—	13	2	no	—
542	#446	—	13	2	no	—
543	#446	—	13	2	no	—
544	#446	—	13	2	no	—
545	#446	—	13	2	no	—
546	#446	—	13	2	no	—
547	#446	—	13	2	no	—
548	#446	—	13	2	no	—
549	#446	—	13	2	no	—
550	#446	—	13	2	no	—
551	#446	—	13	2	no	—
552	#446	—	13	2	no	—
553	#446	—	13	2	no	—
554	#446	—	13	2	no	—
555	#446	—	13	2	no	—
556	#446	—	13	2	no	—
557	#446	—	13	2	no	—
558	#446	—	13	2	no	—
559	#446	—	13	2	no	—
560	#446	—	13	2	no	—
561	#446	—	13	2	no	—
562	#446	—	13	2	no	—
563	#446	—	13	2	no	—
564	#446	—	13	2	no	—
565	C₈×Q₈	—	13	2	no	—
566	C₈×Q₈	—	13	2	no	—
567	C₈×Q₈	—	13	2	no	—
568	C₈×Q₈	—	13	2	no	—
569	C₈×Q₈	—	13	2	no	—
570	C₈×Q₈	—	13	2	no	—
571	C₈×Q₈	—	13	2	no	—
572	C₈×Q₈	—	13	2	no	—
573	#433	—	13	1	no	—
574	#433	—	13	1	no	—
575	#433	—	13	1	no	—
576	#433	—	13	1	no	—
577	#433	—	13	1	no	—
578	#433	—	13	1	no	—
579	#433	—	13	1	no	—
580	#433	—	13	1	no	—
581	#433	—	13	2	no	—
582	#433	—	13	2	no	—
583	#433	—	13	2	no	—
584	#433	—	13	2	no	—
585	#433	—	13	2	no	—
586	#433	—	13	2	no	—
587	#433	—	13	2	no	—
588	#433	—	13	2	no	—
589	#433	—	13	2	no	—
590	#433	—	13	2	no	—
591	#433	—	13	2	no	—
592	#433	—	13	2	no	—
593	#432	—	13	2	no	—
594	#432	—	13	2	no	—
595	#432	—	13	2	no	—
596	#432	—	13	2	no	—
597	#431	—	13	2	no	—
598	#431	—	13	2	no	—
599	#431	—	13	2	no	—
600	#431	—	13	2	no	—
601	#424	—	13	1	no	—
602	#424	—	13	1	no	—
603	#424	—	13	1	no	—
604	#424	—	13	1	no	—
605	#424	—	13	1	no	—
606	#424	—	13	1	no	—
607	#424	—	13	1	no	—
608	#424	—	13	1	no	—
609	#423	—	13	1	no	—
610	#423	—	13	1	no	—
611	C₂×C₄⋊C₈	—	13	1	no	—
612	C₂×C₄⋊C₈	—	13	1	no	—
613	#407	—	13	1	no	—
614	#407	—	13	1	no	—
615	C₂×C₂²⋊C₈	—	13	1	no	—
616	C₂×C₂²⋊C₈	—	13	1	no	—
617	#405	—	13	1	no	—
618	#405	—	13	1	no	—
619	#405	—	13	1	no	—
620	#405	—	13	1	no	—
621	#405	—	13	1	no	—
622	#405	—	13	1	no	—
623	#405	—	13	1	no	—
624	#405	—	13	1	no	—
625	C₄×M₁₆	—	13	1	no	—
626	C₄×M₁₆	—	13	1	no	—
627	C₂×#97	—	13	1	no	—
628	C₂×C₄×C₈	—	13	1	no	—
629	C₂²×C₁₃	—	2	1	no	—
630	C₂²×C₁₃	—	2	1	no	—
631	C₂²×C₁₃	—	2	1	no	—
632	C₂²×C₁₃	C₂⁴×C₄	1	1	yes	characteristic
633	C₂×D₁₃	—	2	1	no	—
634	C₂×D₁₃	—	2	1	no	—
635	C₂×D₁₃	—	2	1	no	—
636	C₂×D₁₃	—	2	1	no	—
637	C₂×D₁₃	—	2	1	no	—
638	C₂×D₁₃	—	8	2	no	—
639	C₂×D₁₃	#519	1	2	yes	—
640	C₄×C₁₃	—	2	1	no	—
641	C₄×C₁₃	—	2	1	no	—
642	C₄×C₁₃	—	2	1	no	—
643	C₄×C₁₃	—	2	2	no	—
644	C₄×C₁₃	—	2	2	no	—
645	C₄×C₁₃	—	2	2	no	—
646	C₄×C₁₃	—	2	1	no	—
647	C₄×C₁₃	—	2	1	no	—
648	C₄×C₁₃	—	2	2	no	—
649	C₄×C₁₃	#519	1	2	yes	—
650	Dic₁₃	—	2	1	no	—
651	Dic₁₃	—	2	1	no	—
652	Dic₁₃	—	2	1	no	—
653	Dic₁₃	—	2	2	no	—
654	Dic₁₃	—	2	1	no	—
655	Dic₁₃	—	2	1	no	—
656	Dic₁₃	—	2	2	no	—
657	Dic₁₃	—	2	2	no	—
658	Dic₁₃	—	2	2	no	—
659	Dic₁₃	C₂×2₋¹⁺⁴	1	1	yes	characteristic
660	Dic₁₃	C₂×2₋¹⁺⁴	1	1	yes	characteristic
661	C₂³×C₄	—	13	1	no	—
662	C₂×M₁₆	—	13	1	no	—
663	C₂×M₁₆	—	13	1	no	—
664	C₂×M₁₆	—	13	1	no	—
665	C₂×M₁₆	—	13	1	no	—
666	C₂²×C₈	—	13	1	no	—
667	C₂²×C₈	—	13	1	no	—
668	C₂²×C₈	—	13	1	no	—
669	C₂²×C₈	—	13	1	no	—
670	C₄⋊Q₈	—	13	2	no	—
671	C₄⋊Q₈	—	13	2	no	—
672	C₄⋊Q₈	—	13	2	no	—
673	C₄⋊Q₈	—	13	2	no	—
674	C₄⋊Q₈	—	13	1	no	—
675	C₄⋊Q₈	—	13	1	no	—
676	C₄⋊Q₈	—	13	2	no	—
677	C₄⋊Q₈	—	13	1	no	—
678	C₄⋊Q₈	—	13	1	no	—
679	C₄⋊Q₈	—	13	2	no	—
680	C₄⋊Q₈	—	13	1	no	—
681	C₄⋊Q₈	—	13	1	no	—
682	C₄⋊Q₈	—	13	2	no	—
683	C₄⋊Q₈	C₂×#261	1	1	yes	characteristic
684	C₄⋊Q₈	C₂×#261	1	1	yes	characteristic
685	C₄⋊Q₈	C₂×#261	1	2	yes	—
686	#125	—	13	2	no	—
687	#125	—	13	2	no	—
688	#125	—	13	2	no	—
689	#125	—	13	2	no	—
690	#125	—	13	1	no	—
691	#125	—	13	1	no	—
692	#125	—	13	2	no	—
693	#125	—	13	1	no	—
694	#125	—	13	1	no	—
695	#125	—	13	2	no	—
696	#125	—	13	1	no	—
697	#125	—	13	1	no	—
698	#125	—	13	2	no	—
699	#125	C₂×#261	1	1	yes	characteristic
700	#125	C₂×#261	1	1	yes	characteristic
701	#125	C₂×#261	1	2	yes	—
702	C₂²⋊Q₈	—	13	2	no	—
703	C₂²⋊Q₈	—	13	2	no	—
704	C₂²⋊Q₈	—	13	2	no	—
705	C₂²⋊Q₈	—	13	2	no	—
706	C₂²⋊Q₈	—	13	2	no	—
707	C₂²⋊Q₈	—	13	2	no	—
708	C₂²⋊Q₈	—	13	2	no	—
709	C₂²⋊Q₈	—	13	2	no	—
710	C₂²⋊Q₈	—	13	2	no	—
711	C₂²⋊Q₈	—	13	2	no	—
712	C₂²⋊Q₈	—	13	2	no	—
713	C₂²⋊Q₈	—	13	2	no	—
714	C₂²⋊Q₈	—	13	2	no	—
715	C₂²⋊Q₈	—	13	2	no	—
716	C₂²⋊Q₈	—	13	2	no	—
717	C₂²⋊Q₈	—	13	2	no	—
718	C₂²⋊Q₈	—	13	2	no	—
719	C₂²⋊Q₈	—	13	2	no	—
720	C₂²⋊Q₈	—	13	2	no	—
721	C₂²⋊Q₈	—	13	2	no	—
722	C₂²⋊Q₈	—	13	2	no	—
723	C₂²⋊Q₈	—	13	2	no	—
724	C₂²⋊Q₈	C₂×#261	1	2	yes	—
725	C₂²⋊Q₈	C₂×#261	1	2	yes	—
726	C₄×Q₈	—	13	2	no	—
727	C₄×Q₈	—	13	2	no	—
728	C₄×Q₈	—	13	2	no	—
729	C₄×Q₈	—	13	2	no	—
730	C₄×Q₈	—	13	2	no	—
731	C₄×Q₈	—	13	2	no	—
732	C₄×Q₈	—	13	2	no	—
733	C₄×Q₈	—	13	2	no	—
734	#117	—	13	1	no	—
735	#117	—	13	1	no	—
736	#117	—	13	1	no	—
737	#117	—	13	1	no	—
738	#117	—	13	1	no	—
739	#117	—	13	1	no	—
740	#117	—	13	1	no	—
741	#117	—	13	1	no	—
742	#117	—	13	2	no	—
743	#117	—	13	2	no	—
744	#117	—	13	1	no	—
745	#117	—	13	1	no	—
746	#117	—	13	1	no	—
747	#117	—	13	1	no	—
748	#117	—	13	2	no	—
749	#117	—	13	1	no	—
750	#117	—	13	1	no	—
751	#117	—	13	2	no	—
752	#117	C₂×#261	1	1	yes	characteristic
753	#117	C₂×#261	1	1	yes	characteristic
754	C₂×C₄⋊C₄	—	13	1	no	—
755	C₂×C₄⋊C₄	—	13	1	no	—
756	C₂×C₄⋊C₄	—	13	1	no	—
757	C₂×C₄⋊C₄	—	13	1	no	—
758	C₂×C₄⋊C₄	—	13	1	no	—
759	C₂×C₄⋊C₄	C₂×#261	1	1	yes	characteristic
760	C₂×C₂²⋊C₄	—	13	2	no	—
761	C₂×C₂²⋊C₄	—	13	1	no	—
762	C₂×C₂²⋊C₄	—	13	1	no	—
763	C₂×C₂²⋊C₄	—	13	2	no	—
764	C₂×C₄²	—	13	2	no	—
765	C₂×C₄²	—	13	1	no	—
766	C₂×C₄²	—	13	1	no	—
767	C₂×C₄²	—	13	2	no	—
768	C₄⋊C₈	—	13	1	no	—
769	C₄⋊C₈	—	13	1	no	—
770	C₄⋊C₈	—	13	1	no	—
771	C₄⋊C₈	—	13	1	no	—
772	C₄⋊C₈	—	13	2	no	—
773	C₄⋊C₈	—	13	2	no	—
774	C₄⋊C₈	—	13	2	no	—
775	C₄⋊C₈	—	13	2	no	—
776	C₄⋊C₈	—	13	2	no	—
777	C₄⋊C₈	—	13	2	no	—
778	C₄⋊C₈	—	13	2	no	—
779	C₄⋊C₈	—	13	2	no	—
780	C₄⋊C₈	—	13	2	no	—
781	C₄⋊C₈	—	13	2	no	—
782	C₄⋊C₈	—	13	1	no	—
783	C₄⋊C₈	—	13	1	no	—
784	C₄⋊C₈	—	13	1	no	—
785	C₄⋊C₈	—	13	1	no	—
786	C₄⋊C₈	—	13	2	no	—
787	C₄⋊C₈	—	13	2	no	—
788	C₄⋊C₈	—	13	2	no	—
789	C₄⋊C₈	—	13	2	no	—
790	C₄⋊C₈	—	13	2	no	—
791	C₄⋊C₈	—	13	2	no	—
792	C₄⋊C₈	—	13	2	no	—
793	C₄⋊C₈	—	13	2	no	—
794	C₄⋊C₈	—	13	2	no	—
795	C₄⋊C₈	—	13	2	no	—
796	C₂²⋊C₈	—	13	1	no	—
797	C₂²⋊C₈	—	13	1	no	—
798	C₂²⋊C₈	—	13	1	no	—
799	C₂²⋊C₈	—	13	1	no	—
800	C₂²⋊C₈	—	13	2	no	—
801	C₂²⋊C₈	—	13	2	no	—
802	C₂²⋊C₈	—	13	1	no	—
803	C₂²⋊C₈	—	13	1	no	—
804	C₂²⋊C₈	—	13	1	no	—
805	C₂²⋊C₈	—	13	1	no	—
806	C₂²⋊C₈	—	13	2	no	—
807	C₂²⋊C₈	—	13	2	no	—
808	#97	—	13	1	no	—
809	#97	—	13	1	no	—
810	#97	—	13	1	no	—
811	#97	—	13	1	no	—
812	#97	—	13	2	no	—
813	#97	—	13	2	no	—
814	#97	—	13	2	no	—
815	#97	—	13	2	no	—
816	#97	—	13	2	no	—
817	#97	—	13	2	no	—
818	#97	—	13	2	no	—
819	#97	—	13	2	no	—
820	#97	—	13	2	no	—
821	#97	—	13	2	no	—
822	C₄×C₈	—	13	1	no	—
823	C₄×C₈	—	13	1	no	—
824	C₄×C₈	—	13	1	no	—
825	C₄×C₈	—	13	1	no	—
826	C₄×C₈	—	13	2	no	—
827	C₄×C₈	—	13	2	no	—
828	C₄×C₈	—	13	2	no	—
829	C₄×C₈	—	13	2	no	—
830	C₄×C₈	—	13	2	no	—
831	C₄×C₈	—	13	2	no	—
832	C₄×C₈	—	13	2	no	—
833	C₄×C₈	—	13	2	no	—
834	C₄×C₈	—	13	2	no	—
835	C₄×C₈	—	13	2	no	—
836	C₂×C₁₃	—	4	1	no	—
837	C₂×C₁₃	C₂×#519	1	1	yes	characteristic
838	C₂×C₁₃	#3573	1	1	yes	characteristic
839	C₂×C₁₃	#3573	1	1	yes	characteristic
840	D₁₃	—	2	2	no	—
841	D₁₃	—	4	1	no	—
842	C₂⁴	—	13	1	no	—
843	C₂×Q₈	—	13	2	no	—
844	C₂×Q₈	—	13	2	no	—
845	C₂×Q₈	—	13	2	no	—
846	C₂×Q₈	—	13	2	no	—
847	C₂×Q₈	—	13	2	no	—
848	C₂×Q₈	—	13	2	no	—
849	C₂×Q₈	C₂²×#261	1	2	yes	—
850	C₂×Q₈	C₂²×#261	1	2	yes	—
851	C₂²×C₄	—	13	1	no	—
852	C₂²×C₄	—	13	1	no	—
853	C₂²×C₄	—	13	2	no	—
854	C₂²×C₄	—	13	1	no	—
855	C₂²×C₄	—	13	1	no	—
856	C₂²×C₄	—	13	1	no	—
857	C₂²×C₄	—	13	1	no	—
858	C₂²×C₄	—	13	1	no	—
859	C₂²×C₄	—	13	2	no	—
860	C₂²×C₄	—	13	1	no	—
861	C₂²×C₄	—	13	1	no	—
862	C₂²×C₄	—	13	2	no	—
863	C₂²×C₄	—	26	2	no	—
864	C₂²×C₄	—	26	2	no	—
865	C₂²×C₄	C₂²×#261	1	1	yes	characteristic
866	C₂²×C₄	C₂²×#261	1	2	yes	—
867	M₁₆	—	26	2	no	—
868	M₁₆	—	26	2	no	—
869	M₁₆	—	26	2	no	—
870	M₁₆	—	26	2	no	—
871	C₂×C₈	—	13	1	no	—
872	C₂×C₈	—	13	1	no	—
873	C₂×C₈	—	13	2	no	—
874	C₂×C₈	—	13	2	no	—
875	C₂×C₈	—	13	2	no	—
876	C₂×C₈	—	13	2	no	—
877	C₂×C₈	—	13	1	no	—
878	C₂×C₈	—	13	1	no	—
879	C₂×C₈	—	13	1	no	—
880	C₂×C₈	—	13	1	no	—
881	C₂×C₈	—	13	1	no	—
882	C₂×C₈	—	13	1	no	—
883	C₂×C₈	—	26	2	no	—
884	C₂×C₈	—	26	2	no	—
885	C₂×C₈	—	26	2	no	—
886	C₂×C₈	—	26	2	no	—
887	C₄⋊C₄	—	13	1	no	—
888	C₄⋊C₄	—	13	1	no	—
889	C₄⋊C₄	—	13	2	no	—
890	C₄⋊C₄	—	13	1	no	—
891	C₄⋊C₄	—	13	1	no	—
892	C₄⋊C₄	—	13	2	no	—
893	C₄⋊C₄	—	13	2	no	—
894	C₄⋊C₄	—	13	1	no	—
895	C₄⋊C₄	—	13	1	no	—
896	C₄⋊C₄	—	13	1	no	—
897	C₄⋊C₄	—	13	1	no	—
898	C₄⋊C₄	—	13	1	no	—
899	C₄⋊C₄	—	13	1	no	—
900	C₄⋊C₄	—	13	2	no	—
901	C₄⋊C₄	—	13	2	no	—
902	C₄⋊C₄	—	13	2	no	—
903	C₄⋊C₄	—	13	2	no	—
904	C₄⋊C₄	—	13	2	no	—
905	C₄⋊C₄	—	13	2	no	—
906	C₄⋊C₄	—	13	2	no	—
907	C₄⋊C₄	—	13	2	no	—
908	C₄⋊C₄	—	13	2	no	—
909	C₄⋊C₄	—	13	2	no	—
910	C₄⋊C₄	—	13	2	no	—
911	C₄⋊C₄	—	13	2	no	—
912	C₄⋊C₄	—	13	2	no	—
913	C₄⋊C₄	—	13	2	no	—
914	C₄⋊C₄	—	13	2	no	—
915	C₄⋊C₄	—	13	2	no	—
916	C₄⋊C₄	—	13	2	no	—
917	C₄⋊C₄	—	13	2	no	—
918	C₄⋊C₄	C₂²×#261	1	1	yes	characteristic
919	C₄⋊C₄	C₂²×#261	1	1	yes	characteristic
920	C₄⋊C₄	C₂²×#261	1	1	yes	characteristic
921	C₄⋊C₄	C₂²×#261	1	1	yes	characteristic
922	C₄⋊C₄	C₂²×#261	1	2	yes	—
923	C₄⋊C₄	C₂²×#261	1	1	yes	characteristic
924	C₄⋊C₄	C₂²×#261	1	1	yes	characteristic
925	C₄⋊C₄	C₂²×#261	1	2	yes	—
926	C₄⋊C₄	C₂²×#261	1	2	yes	—
927	C₄⋊C₄	C₂²×#261	1	2	yes	—
928	C₄⋊C₄	C₂²×#261	1	2	yes	—
929	C₄⋊C₄	C₂²×#261	1	2	yes	—
930	C₄⋊C₄	C₂²×#261	1	2	yes	—
931	C₂²⋊C₄	—	13	1	no	—
932	C₂²⋊C₄	—	13	1	no	—
933	C₂²⋊C₄	—	13	2	no	—
934	C₂²⋊C₄	—	13	2	no	—
935	C₂²⋊C₄	—	13	2	no	—
936	C₂²⋊C₄	—	13	2	no	—
937	C₂²⋊C₄	—	13	2	no	—
938	C₂²⋊C₄	—	13	2	no	—
939	C₂²⋊C₄	—	13	1	no	—
940	C₂²⋊C₄	—	13	1	no	—
941	C₂²⋊C₄	—	13	2	no	—
942	C₂²⋊C₄	—	13	1	no	—
943	C₂²⋊C₄	—	13	1	no	—
944	C₂²⋊C₄	C₂²×#261	1	1	yes	characteristic
945	C₂²⋊C₄	C₂²×#261	1	1	yes	characteristic
946	C₂²⋊C₄	C₂²×#261	1	2	yes	—
947	C₄²	—	13	2	no	—
948	C₄²	—	13	2	no	—
949	C₄²	—	13	1	no	—
950	C₄²	—	13	1	no	—
951	C₄²	—	13	2	no	—
952	C₄²	—	13	1	no	—
953	C₄²	—	13	1	no	—
954	C₄²	—	13	2	no	—
955	C₄²	—	13	2	no	—
956	C₄²	—	13	2	no	—
957	C₄²	—	13	2	no	—
958	C₄²	—	13	1	no	—
959	C₄²	—	13	1	no	—
960	C₄²	C₂²×#261	1	2	yes	—
961	C₄²	C₂²×#261	1	1	yes	characteristic
962	C₄²	C₂²×#261	1	1	yes	characteristic
963	C₁₃	#60252	1	1	yes	characteristic, complemented, Sylow
964	C₂³	—	13	1	no	—
965	C₂³	—	13	1	no	—
966	C₂³	—	26	2	no	—
967	C₂³	—	52	1	no	—
968	C₂³	—	52	1	no	—
969	C₂³	C₂³×#261	1	1	yes	characteristic
970	Q₈	—	4	2	no	—
971	Q₈	—	4	2	no	—
972	Q₈	—	52	2	no	—
973	Q₈	—	52	2	no	—
974	Q₈	—	52	2	no	—
975	Q₈	—	52	2	no	—
976	Q₈	—	52	2	no	—
977	Q₈	—	52	2	no	—
978	C₂×C₄	—	2	2	no	—
979	C₂×C₄	—	4	2	no	—
980	C₂×C₄	—	13	1	no	—
981	C₂×C₄	—	13	2	no	—
982	C₂×C₄	—	13	2	no	—
983	C₂×C₄	—	13	1	no	—
984	C₂×C₄	—	13	1	no	—
985	C₂×C₄	—	13	1	no	—
986	C₂×C₄	—	13	2	no	—
987	C₂×C₄	—	13	1	no	—
988	C₂×C₄	—	13	1	no	—
989	C₂×C₄	—	13	2	no	—
990	C₂×C₄	—	13	2	no	—
991	C₂×C₄	—	13	2	no	—
992	C₂×C₄	—	26	1	no	—
993	C₂×C₄	—	26	1	no	—
994	C₂×C₄	—	26	2	no	—
995	C₂×C₄	—	26	1	no	—
996	C₂×C₄	—	26	1	no	—
997	C₂×C₄	—	26	2	no	—
998	C₂×C₄	—	52	1	no	—
999	C₂×C₄	—	52	1	no	—
1000	C₂×C₄	—	52	2	no	—
1001	C₂×C₄	—	52	1	no	—
1002	C₂×C₄	—	52	1	no	—
1003	C₂×C₄	—	52	2	no	—
1004	C₂×C₄	—	52	2	no	—
1005	C₂×C₄	C₂³×#261	1	1	yes	characteristic
1006	C₂×C₄	C₂³×#261	1	2	yes	—
1007	C₂×C₄	C₂³×#261	1	2	yes	—
1008	C₂×C₄	C₂³×#261	1	1	yes	characteristic
1009	C₂×C₄	C₂³×#261	1	1	yes	characteristic
1010	C₂×C₄	C₂³×#261	1	2	yes	—
1011	C₂×C₄	C₂³×#261	1	1	yes	characteristic
1012	C₂×C₄	C₂³×#261	1	1	yes	characteristic
1013	C₂×C₄	C₂³×#261	1	2	yes	—
1014	C₂×C₄	C₂³×#261	1	1	yes	characteristic
1015	C₈	—	26	1	no	—
1016	C₈	—	26	1	no	—
1017	C₈	—	26	1	no	—
1018	C₈	—	26	1	no	—
1019	C₈	—	26	1	no	—
1020	C₈	—	26	1	no	—
1021	C₈	—	26	1	no	—
1022	C₈	—	26	1	no	—
1023	C₈	—	26	2	no	—
1024	C₈	—	26	2	no	—
1025	C₈	—	26	2	no	—
1026	C₈	—	26	2	no	—
1027	C₂²	—	2	1	no	—
1028	C₂²	—	2	1	no	—
1029	C₂²	—	2	1	no	—
1030	C₂²	—	13	2	no	—
1031	C₂²	—	26	1	no	—
1032	C₂²	—	26	1	no	—
1033	C₂²	—	26	1	no	—
1034	C₂²	—	26	1	no	—
1035	C₂²	—	26	1	no	—
1036	C₂²	—	104	2	no	—
1037	C₂²	C₂⁴×#261	1	1	yes	characteristic
1038	C₄	—	2	1	no	—
1039	C₄	—	2	2	no	—
1040	C₄	—	2	2	no	—
1041	C₄	—	2	1	no	—
1042	C₄	—	2	1	no	—
1043	C₄	—	2	2	no	—
1044	C₄	—	2	1	no	—
1045	C₄	—	2	1	no	—
1046	C₄	—	2	2	no	—
1047	C₄	—	13	1	no	—
1048	C₄	—	13	1	no	—
1049	C₄	—	26	1	no	—
1050	C₄	—	26	1	no	—
1051	C₄	—	26	1	no	—
1052	C₄	—	26	2	no	—
1053	C₄	—	26	1	no	—
1054	C₄	—	26	1	no	—
1055	C₄	—	26	2	no	—
1056	C₄	—	26	2	no	—
1057	C₄	—	26	2	no	—
1058	C₄	#11719627	1	2	yes	—
1059	C₂	—	4	1	no	—
1060	C₂	—	26	2	no	—
1061	C₂	—	52	1	no	—
1062	C₂	C₂×#11719627	1	1	yes	characteristic
1063	C₂	#13131831	1	1	yes	characteristic
1064	C₂	#13131832	1	1	yes	characteristic

	subgroup	G/H
center, Frattini	C₂²	C₂⁴×#261
commutator, socle	C₂²×C₁₃	C₂⁴×C₄
Fitting	C₁₃×#544	C₄
prime radical	C₂³×D₁₃	C₂²×C₄
cosocle	C₂×Dic₁₃	C₂⁵
hypercenter	#544	#261
hypocenter	C₁₃	#60252
LCS	G ▷ C₂²×C₁₃ ▷ C₁₃
UCS	C₁ ◁ C₂² ◁ #544

Complements

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

N	H ≅ G/N	type
1. #13131749	C₂	semidirect
2. #13131748	C₂	semidirect
3. #13131746	C₂	semidirect
4. #13131745	C₂	semidirect
5. #13131744	C₂	semidirect
6. #13131742	C₂	semidirect
7. #13131741	C₂	semidirect
8. #13131740	C₂	semidirect
9. #13131634	C₂	semidirect
10. #13131634	C₂	semidirect
11. #13131632	C₂	semidirect
12. #13131630	C₂	semidirect
13. #13131629	C₂	semidirect
14. #13131628	C₂	semidirect
15. #13131626	C₂	semidirect
16. #13131625	C₂	semidirect
47. #11719158	C₂²	semidirect
48. #11719158	C₂²	semidirect
49. #11719158	C₂²	semidirect
50. #11719158	C₂²	semidirect
51. #11719158	C₂²	semidirect
52. #11719158	C₂²	semidirect
53. Q₈×#1057	C₂²	semidirect
54. Q₈×#1057	C₂²	semidirect
63. #11719080	C₂²	semidirect
64. #11719080	C₂²	semidirect
65. #11719080	C₂²	semidirect
66. #11719080	C₂²	semidirect
67. #11719080	C₂²	semidirect
68. #11719080	C₂²	semidirect
77. #11719078	C₂²	semidirect
78. #11719078	C₂²	semidirect
79. #11719078	C₂²	semidirect
80. #11719078	C₂²	semidirect
81. #11719078	C₂²	semidirect
82. #11719078	C₂²	semidirect
83. #11719078	C₂²	semidirect
84. #11719078	C₂²	semidirect
85. #11719078	C₂²	semidirect
86. #11719078	C₂²	semidirect
87. #11719078	C₂²	semidirect
88. #11719078	C₂²	semidirect
99. #11719074	C₂²	semidirect
100. #11719074	C₂²	semidirect
101. #11719074	C₂²	semidirect
102. #11719074	C₂²	semidirect
103. #11719074	C₂²	semidirect
104. #11719074	C₂²	semidirect
963. C₁₃	#60252	semidirect

Maximal subgroups

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

subgroup	index
#13131749	2
#13131748	2
#13131746	2
#13131745	2
#13131744	2
#13131742	2
#13131741	2
#13131740	2
#13131634	2
#13131632	2
#13131630	2
#13131629	2
#13131628	2
#13131626	2
#13131625	2
#13131529	2
#13131527	2
#13131526	2
#13131517	2
D₁₃⋊#433	2
#13128240	2
#60252	13