Subgroups — D₁₃×#3568 #16770345

Order 3328.

6726 conjugacy classes of subgroups.

The subgroup lattice has 1224 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#13129533	C₂	1	3	yes	maximal, complemented
2	#13129532	C₂	1	3	yes	maximal, complemented
3	#13129531	C₂	1	6	yes	maximal, complemented
4	#13129530	C₂	1	1	yes	maximal, characteristic, complemented
5	#13129529	C₂	1	6	yes	maximal, complemented
6	#13129528	C₂	1	6	yes	maximal, complemented
7	#13129527	C₂	1	6	yes	maximal, complemented
8	D₁₃×#563	C₂	1	3	yes	maximal, complemented
9	D₁₃×H(3,𝔽₄)	C₂	1	1	yes	maximal, characteristic, complemented
10	D₁₃×#556	C₂	1	6	yes	maximal, complemented
11	D₁₃×#551	C₂	1	6	yes	maximal, complemented
12	D₁₃×#542	C₂	1	6	yes	maximal, complemented
13	D₁₃×#538	C₂	1	6	yes	maximal, complemented
14	D₁₃×#529	C₂	1	3	yes	maximal, complemented
15	C₁₃×#3568	C₂	1	1	yes	maximal, characteristic, complemented
16	C₁₃×#563	C₂²	1	3	yes	complemented
17	C₁₃×H(3,𝔽₄)	C₂²	1	1	yes	characteristic, complemented
18	C₁₃×#556	C₂²	1	6	yes	complemented
19	C₁₃×#551	C₂²	1	6	yes	complemented
20	C₁₃×#542	C₂²	1	6	yes	complemented
21	C₁₃×#538	C₂²	1	6	yes	complemented
22	C₁₃×#529	C₂²	1	3	yes	complemented
23	#11719440	C₂²	1	6	yes	complemented
24	#11719438	C₂²	1	6	yes	complemented
25	#11719437	C₂²	1	6	yes	complemented
26	D₁₃×C₄⋊Q₈	C₂²	1	6	yes	complemented
27	#11719417	C₂²	1	6	yes	complemented
28	#11719417	C₂²	1	6	yes	complemented
29	#11719415	C₂²	1	6	yes	complemented
30	#11719415	C₂²	1	6	yes	complemented
31	#11719411	C₂²	1	6	yes	complemented
32	#11719410	C₂²	1	6	yes	complemented
33	#11719410	C₂²	1	6	yes	complemented
34	#11719409	C₂²	1	6	yes	complemented
35	#11719409	C₂²	1	6	yes	complemented
36	D₁₃×#126	C₂²	1	6	yes	complemented
37	D₁₃×#126	C₂²	1	6	yes	complemented
38	D₁₃×#126	C₂²	1	2	yes	complemented
39	D₁₃×#126	C₂²	1	6	yes	complemented
40	D₁₃×#126	C₂²	1	6	yes	complemented
41	#11719407	C₂²	1	6	yes	complemented
42	#11719407	C₂²	1	6	yes	complemented
43	#11719407	C₂²	1	6	yes	complemented
44	#11719407	C₂²	1	6	yes	complemented
45	#11719404	C₂²	1	3	yes	complemented
46	#11719404	C₂²	1	3	yes	complemented
47	#11719396	C₂²	1	3	yes	complemented
48	D₁₃×#125	C₂²	1	3	yes	complemented
49	#11719388	C₂²	1	6	yes	complemented
50	#11719388	C₂²	1	3	yes	complemented
51	#11719387	C₂²	1	6	yes	complemented
52	#11719385	C₂²	1	3	yes	complemented
53	#11719384	C₂²	1	6	yes	complemented
54	#11719383	C₂²	1	6	yes	complemented
55	#11719383	C₂²	1	6	yes	complemented
56	D₁₃×#124	C₂²	1	3	yes	—
57	D₁₃×#124	C₂²	1	6	yes	—
58	D₁₃×#124	C₂²	1	6	yes	—
59	D₁₃×#124	C₂²	1	6	yes	complemented
60	#11719377	C₂²	1	3	yes	complemented
61	#11719376	C₂²	1	6	yes	complemented
62	#11719376	C₂²	1	6	yes	complemented
63	#11719374	C₂²	1	6	yes	complemented
64	#11719374	C₂²	1	6	yes	complemented
65	#11719367	C₂²	1	6	yes	complemented
66	#11719367	C₂²	1	6	yes	complemented
67	#11719364	C₂²	1	6	yes	complemented
68	#11719363	C₂²	1	6	yes	complemented
69	#11719363	C₂²	1	6	yes	complemented
70	#11719362	C₂²	1	6	yes	complemented
71	#11719362	C₂²	1	6	yes	complemented
72	D₁₃×#123	C₂²	1	6	yes	—
73	D₁₃×#123	C₂²	1	6	yes	—
74	D₁₃×#123	C₂²	1	6	yes	complemented
75	#11719356	C₂²	1	6	yes	complemented
76	#11719354	C₂²	1	6	yes	complemented
77	#11719351	C₂²	1	6	yes	complemented
78	#11719351	C₂²	1	6	yes	complemented
79	#11719349	C₂²	1	6	yes	complemented
80	#11719348	C₂²	1	6	yes	complemented
81	#11719346	C₂²	1	6	yes	complemented
82	#11719346	C₂²	1	6	yes	complemented
83	#11719345	C₂²	1	6	yes	complemented
84	#11719345	C₂²	1	6	yes	complemented
85	#11719342	C₂²	1	6	yes	complemented
86	#11719342	C₂²	1	6	yes	complemented
87	D₁₃×C₂²⋊Q₈	C₂²	1	6	yes	complemented
88	D₁₃×C₂²⋊Q₈	C₂²	1	6	yes	complemented
89	D₁₃×C₂²⋊Q₈	C₂²	1	3	yes	complemented
90	D₁₃×C₂²⋊Q₈	C₂²	1	6	yes	complemented
91	#11719329	C₂²	1	3	yes	complemented
92	#11719322	C₂²	1	6	yes	complemented
93	#11719318	C₂²	1	6	yes	complemented
94	#11719318	C₂²	1	6	yes	complemented
95	D₁₃×#121	C₂²	1	6	yes	—
96	D₁₃×#121	C₂²	1	3	yes	—
97	#11719308	C₂²	1	6	yes	complemented
98	#11719305	C₂²	1	3	yes	complemented
99	#11719299	C₂²	1	6	yes	complemented
100	#11719298	C₂²	1	6	yes	complemented
101	#11719298	C₂²	1	6	yes	complemented
102	D₁₃×#120	C₂²	1	6	yes	—
103	D₁₃×#120	C₂²	1	2	yes	complemented
104	#11719292	C₂²	1	6	yes	complemented
105	#11719289	C₂²	1	6	yes	complemented
106	#11719287	C₂²	1	6	yes	complemented
107	#11719285	C₂²	1	3	yes	complemented
108	C₄×Q₈×D₁₃	C₂²	1	6	yes	complemented
109	C₄×Q₈×D₁₃	C₂²	1	3	yes	complemented
110	#11719273	C₂²	1	6	yes	complemented
111	#11719273	C₂²	1	6	yes	complemented
112	#11719266	C₂²	1	6	yes	complemented
113	#11719265	C₂²	1	6	yes	complemented
114	#11719265	C₂²	1	6	yes	complemented
115	#11719262	C₂²	1	3	yes	complemented
116	#11719261	C₂²	1	6	yes	complemented
117	#11719261	C₂²	1	6	yes	complemented
118	C₄×D₄×D₁₃	C₂²	1	3	yes	—
119	C₄×D₄×D₁₃	C₂²	1	6	yes	—
120	C₄×D₄×D₁₃	C₂²	1	6	yes	complemented
121	#11719247	C₂²	1	6	yes	complemented
122	#11719243	C₂²	1	6	yes	complemented
123	#11719239	C₂²	1	6	yes	complemented
124	#11719238	C₂²	1	6	yes	complemented
125	#11719238	C₂²	1	6	yes	complemented
126	#11719233	C₂²	1	6	yes	complemented
127	#11719232	C₂²	1	6	yes	complemented
128	#11719232	C₂²	1	6	yes	complemented
129	D₁₃×#117	C₂²	1	6	yes	complemented
130	D₁₃×#117	C₂²	1	6	yes	complemented
131	#11719200	C₂²	1	6	yes	complemented
132	#11719200	C₂²	1	6	yes	complemented
133	#11719199	C₂²	1	6	yes	complemented
134	C₂×C₂²⋊C₄×D₁₃	C₂²	1	6	yes	complemented
135	#11719184	C₂²	1	3	yes	complemented
136	C₂×C₄²×D₁₃	C₂²	1	1	yes	characteristic, complemented
137	C₂⁴×D₁₃	C₂³	1	2	yes	—
138	C₂×Q₈×D₁₃	C₂³	1	3	yes	—
139	C₂×Q₈×D₁₃	C₂³	1	6	yes	—
140	C₂×D₄×D₁₃	C₂³	1	3	yes	—
141	C₂×D₄×D₁₃	C₂³	1	6	yes	—
142	C₂×D₄×D₁₃	C₂³	1	6	yes	—
143	C₂²×C₄×D₁₃	C₂³	1	3	yes	—
144	C₂²×C₄×D₁₃	C₂³	1	6	yes	—
145	C₂²×C₄×D₁₃	C₂³	1	6	yes	—
146	C₁₃×C₄⋊Q₈	C₂³	1	6	yes	complemented
147	C₁₃×#126	C₂³	1	6	yes	complemented
148	C₁₃×#126	C₂³	1	6	yes	complemented
149	C₁₃×#126	C₂³	1	6	yes	complemented
150	C₁₃×#126	C₂³	1	2	yes	complemented
151	C₁₃×#126	C₂³	1	6	yes	complemented
152	C₁₃×#125	C₂³	1	3	yes	complemented
153	C₁₃×#124	C₂³	1	3	yes	—
154	C₁₃×#124	C₂³	1	6	yes	—
155	C₁₃×#124	C₂³	1	6	yes	—
156	C₁₃×#124	C₂³	1	6	yes	complemented
157	C₁₃×#123	C₂³	1	6	yes	—
158	C₁₃×#123	C₂³	1	6	yes	—
159	C₁₃×#123	C₂³	1	6	yes	complemented
160	C₁₃×C₂²⋊Q₈	C₂³	1	3	yes	complemented
161	C₁₃×C₂²⋊Q₈	C₂³	1	6	yes	complemented
162	C₁₃×C₂²⋊Q₈	C₂³	1	6	yes	complemented
163	C₁₃×C₂²⋊Q₈	C₂³	1	6	yes	complemented
164	C₁₃×#121	C₂³	1	3	yes	—
165	C₁₃×#121	C₂³	1	6	yes	—
166	C₁₃×#120	C₂³	1	6	yes	—
167	C₁₃×#120	C₂³	1	2	yes	complemented
168	C₄×Q₈×C₁₃	C₂³	1	3	yes	complemented
169	C₄×Q₈×C₁₃	C₂³	1	6	yes	complemented
170	C₄×D₄×C₁₃	C₂³	1	6	yes	—
171	C₄×D₄×C₁₃	C₂³	1	3	yes	—
172	C₄×D₄×C₁₃	C₂³	1	6	yes	complemented
173	C₁₃×#117	C₂³	1	6	yes	complemented
174	C₁₃×#117	C₂³	1	6	yes	complemented
175	C₂×C₁₃×C₂²⋊C₄	C₂³	1	6	yes	complemented
176	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic, complemented
177	#88207	C₂³	1	6	yes	—
178	#88207	C₂³	1	2	yes	complemented
179	C₂×C₂²⋊Dic₁₃	C₂³	1	6	yes	complemented
180	#88201	C₂³	1	6	yes	—
181	#88201	C₂³	1	6	yes	—
182	#88201	C₂³	1	3	yes	—
183	#88201	C₂³	1	6	yes	complemented
184	#88200	C₂³	1	3	yes	complemented
185	#88200	C₂³	1	6	yes	complemented
186	#88200	C₂³	1	6	yes	complemented
187	#88200	C₂³	1	6	yes	complemented
188	Q₈×Dic₁₃	C₂³	1	3	yes	complemented
189	Q₈×Dic₁₃	C₂³	1	6	yes	complemented
190	#88198	C₂³	1	6	yes	complemented
191	#88198	C₂³	1	6	yes	complemented
192	#88193	C₂³	1	6	yes	—
193	#88193	C₂³	1	6	yes	—
194	#88193	C₂³	1	6	yes	—
195	#88192	C₂³	1	3	yes	—
196	#88192	C₂³	1	6	yes	—
197	#88191	C₂³	1	6	yes	—
198	#88191	C₂³	1	6	yes	—
199	#88191	C₂³	1	6	yes	—
200	#88191	C₂³	1	6	yes	complemented
201	#88190	C₂³	1	6	yes	—
202	#88190	C₂³	1	6	yes	—
203	#88190	C₂³	1	3	yes	—
204	#88190	C₂³	1	6	yes	complemented
205	#88189	C₂³	1	6	yes	—
206	#88189	C₂³	1	6	yes	—
207	#88189	C₂³	1	6	yes	complemented
208	D₄×Dic₁₃	C₂³	1	3	yes	—
209	D₄×Dic₁₃	C₂³	1	6	yes	—
210	D₄×Dic₁₃	C₂³	1	6	yes	complemented
211	#88184	C₂³	1	3	yes	—
212	#88184	C₂³	1	6	yes	—
213	#88183	C₂³	1	6	yes	—
214	#88183	C₂³	1	6	yes	—
215	#88183	C₂³	1	6	yes	complemented
216	C₄×C₂²⋊D₁₃	C₂³	1	6	yes	—
217	C₄×C₂²⋊D₁₃	C₂³	1	6	yes	—
218	C₄×C₂²⋊D₁₃	C₂³	1	6	yes	—
219	C₄×C₂²⋊D₁₃	C₂³	1	6	yes	complemented
220	C₄×C₂²⋊D₁₃	C₂³	1	6	yes	complemented
221	C₂×#6103	C₂³	1	6	yes	complemented
222	C₂×#6103	C₂³	1	6	yes	complemented
223	#88180	C₂³	1	6	yes	complemented
224	#88180	C₂³	1	6	yes	complemented
225	#88178	C₂³	1	3	yes	complemented
226	#88178	C₂³	1	6	yes	complemented
227	#88178	C₂³	1	6	yes	complemented
228	#88178	C₂³	1	6	yes	complemented
229	C₂×C₄×Dic₁₃	C₂³	1	3	yes	complemented
230	#88152	C₂³	1	6	yes	complemented
231	#88152	C₂³	1	6	yes	complemented
232	#88152	C₂³	1	6	yes	complemented
233	#88152	C₂³	1	6	yes	complemented
234	#88152	C₂³	1	6	yes	complemented
235	#88152	C₂³	1	6	yes	complemented
236	#88152	C₂³	1	6	yes	complemented
237	#88152	C₂³	1	6	yes	complemented
238	#88152	C₂³	1	6	yes	complemented
239	#88152	C₂³	1	6	yes	complemented
240	#88152	C₂³	1	6	yes	complemented
241	#88152	C₂³	1	6	yes	complemented
242	#88152	C₂³	1	6	yes	complemented
243	#88151	C₂³	1	6	yes	complemented
244	#88151	C₂³	1	6	yes	complemented
245	#88151	C₂³	1	6	yes	complemented
246	#88151	C₂³	1	3	yes	complemented
247	#88150	C₂³	1	6	yes	complemented
248	#88150	C₂³	1	6	yes	complemented
249	#88150	C₂³	1	6	yes	complemented
250	#88150	C₂³	1	6	yes	complemented
251	#88150	C₂³	1	6	yes	complemented
252	#88150	C₂³	1	6	yes	complemented
253	#88150	C₂³	1	6	yes	complemented
254	#88149	C₂³	1	6	yes	—
255	#88149	C₂³	1	3	yes	—
256	#88148	C₂³	1	6	yes	—
257	#88148	C₂³	1	6	yes	—
258	#88148	C₂³	1	6	yes	—
259	#88148	C₂³	1	6	yes	—
260	#88148	C₂³	1	6	yes	complemented
261	#88148	C₂³	1	6	yes	complemented
262	#88147	C₂³	1	6	yes	—
263	#88147	C₂³	1	3	yes	—
264	#88147	C₂³	1	6	yes	complemented
265	#88146	C₂³	1	6	yes	complemented
266	#88146	C₂³	1	6	yes	complemented
267	#88146	C₂³	1	6	yes	complemented
268	#88146	C₂³	1	6	yes	complemented
269	C₄⋊C₄×D₁₃	C₂³	1	6	yes	—
270	C₄⋊C₄×D₁₃	C₂³	1	6	yes	—
271	C₄⋊C₄×D₁₃	C₂³	1	6	yes	—
272	C₄⋊C₄×D₁₃	C₂³	1	6	yes	—
273	C₄⋊C₄×D₁₃	C₂³	1	6	yes	—
274	C₄⋊C₄×D₁₃	C₂³	1	6	yes	—
275	C₄⋊C₄×D₁₃	C₂³	1	3	yes	—
276	C₄⋊C₄×D₁₃	C₂³	1	3	yes	—
277	#88144	C₂³	1	3	yes	complemented
278	#88144	C₂³	1	3	yes	complemented
279	#88143	C₂³	1	6	yes	complemented
280	#88143	C₂³	1	6	yes	complemented
281	#88142	C₂³	1	6	yes	complemented
282	#88142	C₂³	1	6	yes	complemented
283	#88142	C₂³	1	6	yes	complemented
284	#88142	C₂³	1	6	yes	complemented
285	#88141	C₂³	1	6	yes	complemented
286	#88141	C₂³	1	6	yes	complemented
287	#88141	C₂³	1	6	yes	complemented
288	#88141	C₂³	1	6	yes	complemented
289	#88141	C₂³	1	3	yes	complemented
290	#88140	C₂³	1	6	yes	—
291	#88140	C₂³	1	6	yes	—
292	#88140	C₂³	1	6	yes	complemented
293	#88139	C₂³	1	6	yes	—
294	#88139	C₂³	1	6	yes	—
295	#88139	C₂³	1	6	yes	—
296	#88139	C₂³	1	6	yes	—
297	#88139	C₂³	1	6	yes	—
298	#88139	C₂³	1	6	yes	—
299	#88139	C₂³	1	6	yes	—
300	#88139	C₂³	1	6	yes	—
301	#88139	C₂³	1	6	yes	—
302	#88139	C₂³	1	6	yes	—
303	#88139	C₂³	1	6	yes	complemented
304	#88139	C₂³	1	6	yes	complemented
305	#88139	C₂³	1	6	yes	complemented
306	#88139	C₂³	1	6	yes	complemented
307	#88138	C₂³	1	6	yes	—
308	#88138	C₂³	1	6	yes	—
309	#88138	C₂³	1	6	yes	—
310	#88137	C₂³	1	6	yes	—
311	#88137	C₂³	1	6	yes	—
312	#88137	C₂³	1	6	yes	—
313	#88137	C₂³	1	6	yes	—
314	#88137	C₂³	1	6	yes	complemented
315	#88137	C₂³	1	6	yes	complemented
316	#88136	C₂³	1	6	yes	—
317	#88136	C₂³	1	6	yes	—
318	#88136	C₂³	1	6	yes	—
319	#88136	C₂³	1	6	yes	complemented
320	#88135	C₂³	1	6	yes	—
321	#88135	C₂³	1	6	yes	—
322	#88135	C₂³	1	6	yes	—
323	#88135	C₂³	1	6	yes	complemented
324	#88135	C₂³	1	6	yes	complemented
325	C₂²⋊C₄×D₁₃	C₂³	1	6	yes	—
326	C₂²⋊C₄×D₁₃	C₂³	1	6	yes	—
327	C₂²⋊C₄×D₁₃	C₂³	1	6	yes	—
328	C₂²⋊C₄×D₁₃	C₂³	1	6	yes	—
329	C₂²⋊C₄×D₁₃	C₂³	1	6	yes	—
330	C₂²⋊C₄×D₁₃	C₂³	1	6	yes	—
331	C₂²⋊C₄×D₁₃	C₂³	1	6	yes	—
332	C₂²⋊C₄×D₁₃	C₂³	1	6	yes	—
333	C₂²⋊C₄×D₁₃	C₂³	1	6	yes	—
334	C₂²⋊C₄×D₁₃	C₂³	1	6	yes	complemented
335	C₂²⋊C₄×D₁₃	C₂³	1	6	yes	complemented
336	C₂²⋊C₄×D₁₃	C₂³	1	6	yes	complemented
337	C₂²⋊C₄×D₁₃	C₂³	1	6	yes	complemented
338	#88133	C₂³	1	6	yes	complemented
339	#88133	C₂³	1	6	yes	complemented
340	#88133	C₂³	1	6	yes	complemented
341	#88133	C₂³	1	6	yes	complemented
342	#88133	C₂³	1	6	yes	complemented
343	#88133	C₂³	1	6	yes	complemented
344	#88133	C₂³	1	6	yes	complemented
345	#88133	C₂³	1	6	yes	complemented
346	#88133	C₂³	1	6	yes	complemented
347	#88133	C₂³	1	6	yes	complemented
348	#88133	C₂³	1	6	yes	complemented
349	#88133	C₂³	1	6	yes	complemented
350	#88133	C₂³	1	6	yes	complemented
351	#88132	C₂³	1	6	yes	complemented
352	#88132	C₂³	1	6	yes	complemented
353	#88132	C₂³	1	6	yes	complemented
354	#88132	C₂³	1	6	yes	complemented
355	#88132	C₂³	1	6	yes	complemented
356	#88132	C₂³	1	6	yes	complemented
357	#88132	C₂³	1	6	yes	complemented
358	#88131	C₂³	1	6	yes	complemented
359	#88131	C₂³	1	6	yes	complemented
360	#88131	C₂³	1	6	yes	complemented
361	#88131	C₂³	1	6	yes	complemented
362	#88130	C₂³	1	6	yes	complemented
363	#88130	C₂³	1	6	yes	complemented
364	#88130	C₂³	1	6	yes	complemented
365	#88130	C₂³	1	6	yes	complemented
366	#88130	C₂³	1	2	yes	complemented
367	#88129	C₂³	1	3	yes	—
368	#88129	C₂³	1	6	yes	—
369	#88129	C₂³	1	6	yes	—
370	#88129	C₂³	1	6	yes	complemented
371	C₄×D₅₂	C₂³	1	6	yes	—
372	C₄×D₅₂	C₂³	1	3	yes	—
373	C₄×D₅₂	C₂³	1	6	yes	complemented
374	#88126	C₂³	1	6	yes	complemented
375	#88126	C₂³	1	6	yes	complemented
376	#88126	C₂³	1	6	yes	complemented
377	#88126	C₂³	1	6	yes	complemented
378	C₄²×D₁₃	C₂³	1	6	yes	—
379	C₄²×D₁₃	C₂³	1	3	yes	—
380	C₄²×D₁₃	C₂³	1	1	yes	characteristic
381	C₄²×D₁₃	C₂³	1	6	yes	—
382	C₄²×D₁₃	C₂³	1	2	yes	—
383	C₄²×D₁₃	C₂³	1	3	yes	complemented
384	C₄²×D₁₃	C₂³	1	1	yes	characteristic, complemented
385	#88124	C₂³	1	3	yes	complemented
386	#88123	C₂³	1	6	yes	complemented
387	C₄×Dic₂₆	C₂³	1	6	yes	complemented
388	C₄×Dic₂₆	C₂³	1	3	yes	complemented
389	C₄×Dic₂₆	C₂³	1	6	yes	complemented
390	C₄×Dic₂₆	C₂³	1	6	yes	complemented
391	C₄×Dic₂₆	C₂³	1	6	yes	complemented
392	C₂×#3568	—	13	1	no	maximal, Sylow
393	C₂⁴×C₁₃	C₂⁴	1	2	yes	—
394	C₂³×D₁₃	—	4	12	no	—
395	C₂³×D₁₃	C₂⁴	1	6	yes	—
396	C₂³×D₁₃	C₂⁴	1	1	yes	characteristic
397	C₂³×D₁₃	C₂⁴	1	6	yes	—
398	C₂×Q₈×C₁₃	C₂⁴	1	3	yes	—
399	C₂×Q₈×C₁₃	C₂⁴	1	6	yes	—
400	C₂×D₄×C₁₃	C₂⁴	1	3	yes	—
401	C₂×D₄×C₁₃	C₂⁴	1	6	yes	—
402	C₂×D₄×C₁₃	C₂⁴	1	6	yes	—
403	C₂²×C₄×C₁₃	C₂⁴	1	3	yes	—
404	C₂²×C₄×C₁₃	C₂⁴	1	6	yes	—
405	C₂²×C₄×C₁₃	C₂⁴	1	6	yes	—
406	C₂×C₂²⋊D₁₃	C₂⁴	1	6	yes	—
407	C₂×C₂²⋊D₁₃	C₂⁴	1	6	yes	—
408	C₂×C₂²⋊D₁₃	C₂⁴	1	6	yes	—
409	C₂×C₂²⋊D₁₃	C₂⁴	1	6	yes	—
410	C₂×C₂²⋊D₁₃	C₂⁴	1	6	yes	—
411	C₂²×Dic₁₃	C₂⁴	1	6	yes	—
412	C₂²×Dic₁₃	C₂⁴	1	6	yes	—
413	C₂²×Dic₁₃	C₂⁴	1	3	yes	—
414	Q₈×D₁₃	—	4	12	no	—
415	Q₈×D₁₃	—	4	6	no	—
416	D₄×D₁₃	—	4	12	no	—
417	D₄×D₁₃	—	4	6	no	—
418	D₄×D₁₃	—	4	12	no	—
419	C₂×D₅₂	C₂⁴	1	6	yes	—
420	C₂×D₅₂	C₂⁴	1	3	yes	—
421	C₂×D₅₂	C₂⁴	1	6	yes	—
422	C₂×C₄×D₁₃	—	4	12	no	—
423	C₂×C₄×D₁₃	—	4	6	no	—
424	C₂×C₄×D₁₃	—	4	12	no	—
425	C₂×C₄×D₁₃	C₂⁴	1	3	yes	—
426	C₂×C₄×D₁₃	C₂⁴	1	6	yes	—
427	C₂×C₄×D₁₃	C₂⁴	1	6	yes	—
428	C₂×C₄×D₁₃	C₂⁴	1	3	yes	—
429	C₂×C₄×D₁₃	C₂⁴	1	6	yes	—
430	C₂×C₄×D₁₃	C₂⁴	1	3	yes	—
431	C₂×C₄×D₁₃	C₂⁴	1	3	yes	—
432	C₂×C₄×D₁₃	C₂⁴	1	6	yes	—
433	C₂×C₄×D₁₃	C₂⁴	1	6	yes	—
434	C₂×C₄×D₁₃	C₂⁴	1	6	yes	—
435	C₂×C₄×D₁₃	C₂⁴	1	6	yes	—
436	C₂×Dic₂₆	C₂⁴	1	6	yes	—
437	C₂×Dic₂₆	C₂⁴	1	6	yes	—
438	C₂×Dic₂₆	C₂⁴	1	3	yes	—
439	C₂×Dic₂₆	C₂⁴	1	6	yes	—
440	C₂×Dic₂₆	C₂⁴	1	6	yes	—
441	C₁₃×C₄⋊C₄	C₂⁴	1	6	yes	—
442	C₁₃×C₄⋊C₄	C₂⁴	1	6	yes	—
443	C₁₃×C₄⋊C₄	C₂⁴	1	3	yes	—
444	C₁₃×C₄⋊C₄	C₂⁴	1	6	yes	—
445	C₁₃×C₄⋊C₄	C₂⁴	1	6	yes	—
446	C₁₃×C₄⋊C₄	C₂⁴	1	6	yes	—
447	C₁₃×C₄⋊C₄	C₂⁴	1	6	yes	—
448	C₁₃×C₄⋊C₄	C₂⁴	1	3	yes	—
449	C₁₃×C₂²⋊C₄	C₂⁴	1	6	yes	—
450	C₁₃×C₂²⋊C₄	C₂⁴	1	6	yes	—
451	C₁₃×C₂²⋊C₄	C₂⁴	1	6	yes	—
452	C₁₃×C₂²⋊C₄	C₂⁴	1	6	yes	—
453	C₁₃×C₂²⋊C₄	C₂⁴	1	6	yes	—
454	C₁₃×C₂²⋊C₄	C₂⁴	1	6	yes	—
455	C₁₃×C₂²⋊C₄	C₂⁴	1	6	yes	—
456	C₁₃×C₂²⋊C₄	C₂⁴	1	6	yes	—
457	C₁₃×C₂²⋊C₄	C₂⁴	1	6	yes	—
458	C₄²×C₁₃	C₂⁴	1	2	yes	—
459	C₄²×C₁₃	C₂⁴	1	6	yes	—
460	C₄²×C₁₃	C₂⁴	1	6	yes	—
461	C₄²×C₁₃	C₂⁴	1	3	yes	—
462	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
463	C₂²⋊Dic₁₃	C₂⁴	1	6	yes	—
464	C₂²⋊Dic₁₃	C₂⁴	1	6	yes	—
465	C₂²⋊Dic₁₃	C₂⁴	1	6	yes	—
466	C₂²⋊Dic₁₃	C₂⁴	1	6	yes	—
467	C₂²⋊Dic₁₃	C₂⁴	1	6	yes	—
468	C₂²⋊Dic₁₃	C₂⁴	1	6	yes	—
469	C₂²⋊Dic₁₃	C₂⁴	1	6	yes	—
470	C₂²⋊Dic₁₃	C₂⁴	1	6	yes	—
471	C₂²⋊Dic₁₃	C₂⁴	1	6	yes	—
472	#6103	C₂⁴	1	6	yes	—
473	#6103	C₂⁴	1	6	yes	—
474	#6103	C₂⁴	1	6	yes	—
475	#6103	C₂⁴	1	6	yes	—
476	#6103	C₂⁴	1	6	yes	—
477	#6103	C₂⁴	1	6	yes	—
478	#6103	C₂⁴	1	6	yes	—
479	#6103	C₂⁴	1	6	yes	—
480	#6103	C₂⁴	1	6	yes	—
481	#6103	C₂⁴	1	6	yes	—
482	#6103	C₂⁴	1	6	yes	—
483	#6103	C₂⁴	1	6	yes	—
484	#6103	C₂⁴	1	6	yes	—
485	#6103	C₂⁴	1	6	yes	—
486	#6103	C₂⁴	1	6	yes	—
487	#6103	C₂⁴	1	6	yes	—
488	#6103	C₂⁴	1	6	yes	—
489	#6103	C₂⁴	1	6	yes	—
490	C₄⋊Dic₁₃	C₂⁴	1	6	yes	—
491	C₄⋊Dic₁₃	C₂⁴	1	6	yes	—
492	C₄⋊Dic₁₃	C₂⁴	1	3	yes	—
493	C₄⋊Dic₁₃	C₂⁴	1	6	yes	—
494	C₄⋊Dic₁₃	C₂⁴	1	6	yes	—
495	C₄⋊Dic₁₃	C₂⁴	1	6	yes	—
496	C₄⋊Dic₁₃	C₂⁴	1	6	yes	—
497	C₄⋊Dic₁₃	C₂⁴	1	3	yes	—
498	#6101	C₂⁴	1	6	yes	—
499	#6101	C₂⁴	1	6	yes	—
500	#6101	C₂⁴	1	6	yes	—
501	#6101	C₂⁴	1	6	yes	—
502	#6101	C₂⁴	1	6	yes	—
503	#6101	C₂⁴	1	6	yes	—
504	#6101	C₂⁴	1	6	yes	—
505	#6101	C₂⁴	1	6	yes	—
506	#6101	C₂⁴	1	6	yes	—
507	#6101	C₂⁴	1	6	yes	—
508	#6101	C₂⁴	1	6	yes	—
509	#6101	C₂⁴	1	6	yes	—
510	#6101	C₂⁴	1	6	yes	—
511	#6101	C₂⁴	1	6	yes	—
512	C₄×Dic₁₃	C₂⁴	1	3	yes	—
513	C₄×Dic₁₃	C₂⁴	1	6	yes	—
514	C₄×Dic₁₃	C₂⁴	1	6	yes	—
515	C₄×Dic₁₃	C₂⁴	1	6	yes	—
516	C₄×Dic₁₃	C₂⁴	1	6	yes	—
517	C₄×Dic₁₃	C₂⁴	1	3	yes	—
518	C₄×Dic₁₃	C₂⁴	1	3	yes	—
519	C₄×Dic₁₃	C₂⁴	1	3	yes	—
520	C₄×Dic₁₃	C₂⁴	1	6	yes	—
521	C₄×Dic₁₃	C₂⁴	1	6	yes	—
522	C₄×Dic₁₃	C₂⁴	1	6	yes	—
523	#3568	—	13	3	no	—
524	#3568	—	13	1	no	—
525	#3568	—	13	6	no	—
526	#3568	—	13	6	no	—
527	#3568	—	13	6	no	—
528	#3568	—	13	6	no	—
529	#3568	—	13	3	no	—
530	#3568	D₁₃	1	1	yes	characteristic, direct product factor
531	C₂×#563	—	13	3	no	—
532	C₂×H(3,𝔽₄)	—	13	1	no	—
533	C₂×#556	—	13	6	no	—
534	C₂×#551	—	13	6	no	—
535	C₂×#542	—	13	6	no	—
536	C₂×#538	—	13	6	no	—
537	C₂×#529	—	13	3	no	—
538	C₂³×C₁₃	—	4	6	no	—
539	C₂³×C₁₃	C₂⁵	1	6	yes	—
540	C₂³×C₁₃	C₂⁵	1	1	yes	characteristic
541	C₂²×D₁₃	—	2	6	no	—
542	C₂²×D₁₃	—	2	12	no	—
543	C₂²×D₁₃	—	2	12	no	—
544	C₂²×D₁₃	—	2	12	no	—
545	C₂²×D₁₃	—	4	6	no	—
546	C₂²×D₁₃	—	4	6	no	—
547	C₂²×D₁₃	—	4	6	no	—
548	C₂²×D₁₃	—	8	16	no	—
549	C₂²×D₁₃	C₂⁵	1	6	yes	—
550	C₂²×D₁₃	C₂⁵	1	1	yes	characteristic
551	C₂²×D₁₃	C₂⁵	1	1	yes	characteristic
552	Q₈×C₁₃	—	4	3	no	—
553	Q₈×C₁₃	—	4	6	no	—
554	D₄×C₁₃	—	4	6	no	—
555	D₄×C₁₃	—	4	6	no	—
556	D₄×C₁₃	—	4	3	no	—
557	C₂×C₄×C₁₃	—	4	6	no	—
558	C₂×C₄×C₁₃	—	4	6	no	—
559	C₂×C₄×C₁₃	—	4	3	no	—
560	C₂×C₄×C₁₃	C₂⁵	1	3	yes	—
561	C₂×C₄×C₁₃	C₂⁵	1	6	yes	—
562	C₂×C₄×C₁₃	C₂⁵	1	3	yes	—
563	C₂×C₄×C₁₃	C₂⁵	1	6	yes	—
564	C₂×C₄×C₁₃	C₂⁵	1	6	yes	—
565	C₂²⋊D₁₃	—	4	6	no	—
566	C₂²⋊D₁₃	—	4	6	no	—
567	C₂²⋊D₁₃	—	4	6	no	—
568	C₂²⋊D₁₃	—	4	6	no	—
569	C₂²⋊D₁₃	—	4	6	no	—
570	C₂×Dic₁₃	—	4	6	no	—
571	C₂×Dic₁₃	—	4	6	no	—
572	C₂×Dic₁₃	—	4	3	no	—
573	C₂×Dic₁₃	C₂⁵	1	3	yes	—
574	C₂×Dic₁₃	C₂⁵	1	6	yes	—
575	C₂×Dic₁₃	C₂⁵	1	3	yes	—
576	C₂×Dic₁₃	C₂⁵	1	6	yes	—
577	C₂×Dic₁₃	C₂⁵	1	6	yes	—
578	D₅₂	—	4	6	no	—
579	D₅₂	—	4	6	no	—
580	D₅₂	—	4	3	no	—
581	C₄×D₁₃	—	2	6	no	—
582	C₄×D₁₃	—	2	12	no	—
583	C₄×D₁₃	—	2	6	no	—
584	C₄×D₁₃	—	2	12	no	—
585	C₄×D₁₃	—	2	12	no	—
586	C₄×D₁₃	—	4	6	no	—
587	C₄×D₁₃	—	4	6	no	—
588	C₄×D₁₃	—	4	6	no	—
589	C₄×D₁₃	—	4	3	no	—
590	C₄×D₁₃	—	4	6	no	—
591	C₄×D₁₃	—	4	3	no	—
592	Dic₂₆	—	4	3	no	—
593	Dic₂₆	—	4	6	no	—
594	Dic₂₆	—	4	6	no	—
595	Dic₂₆	—	4	6	no	—
596	Dic₂₆	—	4	6	no	—
597	#563	—	13	6	no	—
598	#563	—	13	6	no	—
599	#563	—	13	6	no	—
600	#563	—	13	3	no	—
601	#563	—	13	3	no	—
602	#563	—	13	3	no	—
603	#563	—	13	6	no	—
604	#563	—	13	6	no	—
605	#563	—	13	6	no	—
606	#563	C₂×D₁₃	1	3	yes	complemented
607	H(3,𝔽₄)	—	13	6	no	—
608	H(3,𝔽₄)	—	13	3	no	—
609	H(3,𝔽₄)	—	13	6	no	—
610	H(3,𝔽₄)	C₂×D₁₃	1	1	yes	characteristic, complemented
611	#556	—	13	6	no	—
612	#556	—	13	6	no	—
613	#556	—	13	6	no	—
614	#556	—	13	6	no	—
615	#556	—	13	6	no	—
616	#556	—	13	6	no	—
617	#556	—	13	6	no	—
618	#556	—	13	6	no	—
619	#556	—	13	6	no	—
620	#556	—	13	6	no	—
621	#556	—	13	6	no	—
622	#556	—	13	6	no	—
623	#556	—	13	6	no	—
624	#556	—	13	6	no	—
625	#556	—	13	6	no	—
626	#556	C₂×D₁₃	1	6	yes	complemented
627	#551	—	13	6	no	—
628	#551	—	13	6	no	—
629	#551	—	13	6	no	—
630	#551	—	13	6	no	—
631	#551	—	13	6	no	—
632	#551	—	13	6	no	—
633	#551	—	13	6	no	—
634	#551	—	13	6	no	—
635	#551	—	13	6	no	—
636	#551	—	13	6	no	—
637	#551	—	13	6	no	—
638	#551	—	13	6	no	—
639	#551	—	13	6	no	—
640	#551	—	13	6	no	—
641	#551	—	13	6	no	—
642	#551	C₂×D₁₃	1	6	yes	complemented
643	#542	—	13	6	no	—
644	#542	—	13	6	no	—
645	#542	—	13	6	no	—
646	#542	—	13	6	no	—
647	#542	—	13	6	no	—
648	#542	—	13	6	no	—
649	#542	—	13	6	no	—
650	#542	—	13	6	no	—
651	#542	—	13	6	no	—
652	#542	—	13	6	no	—
653	#542	—	13	6	no	—
654	#542	—	13	6	no	—
655	#542	—	13	6	no	—
656	#542	—	13	6	no	—
657	#542	—	13	6	no	—
658	#542	C₂×D₁₃	1	6	yes	complemented
659	#538	—	13	6	no	—
660	#538	—	13	6	no	—
661	#538	—	13	6	no	—
662	#538	—	13	6	no	—
663	#538	—	13	6	no	—
664	#538	—	13	6	no	—
665	#538	—	13	6	no	—
666	#538	—	13	6	no	—
667	#538	—	13	6	no	—
668	#538	—	13	6	no	—
669	#538	—	13	6	no	—
670	#538	—	13	6	no	—
671	#538	—	13	6	no	—
672	#538	—	13	6	no	—
673	#538	—	13	6	no	—
674	#538	C₂×D₁₃	1	6	yes	complemented
675	C₂×C₄⋊Q₈	—	13	6	no	—
676	#529	—	13	6	no	—
677	#529	—	13	3	no	—
678	#529	—	13	3	no	—
679	#529	—	13	6	no	—
680	#529	—	13	3	no	—
681	#529	—	13	3	no	—
682	#529	—	13	3	no	—
683	#529	—	13	3	no	—
684	#529	—	13	6	no	—
685	#529	—	13	6	no	—
686	#529	—	13	3	no	—
687	#529	C₂×D₁₃	1	3	yes	complemented
688	C₂×#126	—	13	6	no	—
689	C₂×#126	—	13	6	no	—
690	C₂×#126	—	13	6	no	—
691	C₂×#126	—	13	2	no	—
692	C₂×#126	—	13	6	no	—
693	C₂×#125	—	13	3	no	—
694	C₂×#124	—	13	3	no	—
695	C₂×#124	—	13	6	no	—
696	C₂×#124	—	13	6	no	—
697	C₂×#124	—	13	6	no	—
698	C₂×#123	—	13	6	no	—
699	C₂×#123	—	13	6	no	—
700	C₂×#123	—	13	6	no	—
701	C₂×C₂²⋊Q₈	—	13	3	no	—
702	C₂×C₂²⋊Q₈	—	13	6	no	—
703	C₂×C₂²⋊Q₈	—	13	6	no	—
704	C₂×C₂²⋊Q₈	—	13	6	no	—
705	C₂×#121	—	13	3	no	—
706	C₂×#121	—	13	6	no	—
707	C₂×#120	—	13	6	no	—
708	C₂×#120	—	13	2	no	—
709	C₂×C₄×Q₈	—	13	3	no	—
710	C₂×C₄×Q₈	—	13	6	no	—
711	C₂×C₄×D₄	—	13	3	no	—
712	C₂×C₄×D₄	—	13	6	no	—
713	C₂×C₄×D₄	—	13	6	no	—
714	C₂×#117	—	13	6	no	—
715	C₂×#117	—	13	6	no	—
716	C₂²×C₂²⋊C₄	—	13	6	no	—
717	C₂²×C₄²	—	13	1	no	—
718	C₂²×C₁₃	—	2	3	no	—
719	C₂²×C₁₃	—	2	6	no	—
720	C₂²×C₁₃	—	2	6	no	—
721	C₂²×C₁₃	—	2	6	no	—
722	C₂²×C₁₃	—	8	4	no	—
723	C₂²×C₁₃	C₂⁶	1	1	yes	characteristic
724	C₂×D₁₃	—	2	3	no	—
725	C₂×D₁₃	—	2	6	no	—
726	C₂×D₁₃	—	2	6	no	—
727	C₂×D₁₃	—	2	6	no	—
728	C₂×D₁₃	—	4	4	no	—
729	C₂×D₁₃	—	4	24	no	—
730	C₂×D₁₃	—	8	12	no	—
731	C₂×D₁₃	#585	1	6	yes	—
732	C₄×C₁₃	—	2	6	no	—
733	C₄×C₁₃	—	2	6	no	—
734	C₄×C₁₃	—	2	3	no	—
735	C₄×C₁₃	—	2	6	no	—
736	C₄×C₁₃	—	2	3	no	—
737	Dic₁₃	—	2	6	no	—
738	Dic₁₃	—	2	6	no	—
739	Dic₁₃	—	2	3	no	—
740	Dic₁₃	—	2	6	no	—
741	Dic₁₃	—	2	3	no	—
742	C₂⁵	—	13	2	no	—
743	C₂²×Q₈	—	13	6	no	—
744	C₂²×Q₈	—	13	3	no	—
745	C₂²×D₄	—	13	3	no	—
746	C₂²×D₄	—	13	6	no	—
747	C₂²×D₄	—	13	6	no	—
748	C₂³×C₄	—	13	6	no	—
749	C₂³×C₄	—	13	6	no	—
750	C₂³×C₄	—	13	3	no	—
751	C₄⋊Q₈	—	13	6	no	—
752	C₄⋊Q₈	—	13	6	no	—
753	C₄⋊Q₈	—	13	6	no	—
754	C₄⋊Q₈	—	13	6	no	—
755	C₄⋊Q₈	—	13	6	no	—
756	C₄⋊Q₈	—	13	6	no	—
757	C₄⋊Q₈	—	13	6	no	—
758	C₄⋊Q₈	C₂²×D₁₃	1	6	yes	complemented
759	#126	—	13	6	no	—
760	#126	—	13	6	no	—
761	#126	—	13	6	no	—
762	#126	—	13	6	no	—
763	#126	—	13	6	no	—
764	#126	—	13	6	no	—
765	#126	—	13	6	no	—
766	#126	—	13	6	no	—
767	#126	—	13	6	no	—
768	#126	—	13	6	no	—
769	#126	—	13	6	no	—
770	#126	—	13	6	no	—
771	#126	—	13	6	no	—
772	#126	—	13	6	no	—
773	#126	—	13	6	no	—
774	#126	—	13	6	no	—
775	#126	—	13	6	no	—
776	#126	—	13	6	no	—
777	#126	—	13	6	no	—
778	#126	—	13	6	no	—
779	#126	—	13	6	no	—
780	#126	—	13	6	no	—
781	#126	—	13	6	no	—
782	#126	—	13	6	no	—
783	#126	—	13	6	no	—
784	#126	—	13	6	no	—
785	#126	—	13	6	no	—
786	#126	—	13	6	no	—
787	#126	—	13	6	no	—
788	#126	—	13	2	no	—
789	#126	—	13	6	no	—
790	#126	C₂²×D₁₃	1	6	yes	complemented
791	#126	C₂²×D₁₃	1	6	yes	complemented
792	#126	C₂²×D₁₃	1	6	yes	complemented
793	#126	C₂²×D₁₃	1	2	yes	complemented
794	#126	C₂²×D₁₃	1	6	yes	complemented
795	#125	—	13	6	no	—
796	#125	—	13	6	no	—
797	#125	—	13	3	no	—
798	#125	—	13	3	no	—
799	#125	—	13	3	no	—
800	#125	C₂²×D₁₃	1	3	yes	complemented
801	#124	—	13	3	no	—
802	#124	—	13	6	no	—
803	#124	—	13	6	no	—
804	#124	—	13	6	no	—
805	#124	—	13	3	no	—
806	#124	—	13	6	no	—
807	#124	—	13	6	no	—
808	#124	—	13	6	no	—
809	#124	—	13	6	no	—
810	#124	—	13	6	no	—
811	#124	—	13	6	no	—
812	#124	—	13	6	no	—
813	#124	—	13	6	no	—
814	#124	—	13	6	no	—
815	#124	—	13	6	no	—
816	#124	—	13	6	no	—
817	#124	—	13	6	no	—
818	#124	—	13	6	no	—
819	#124	—	13	6	no	—
820	#124	—	13	6	no	—
821	#124	—	13	6	no	—
822	#124	—	13	6	no	—
823	#124	—	13	3	no	—
824	#124	—	13	6	no	—
825	#124	—	13	6	no	—
826	#124	—	13	6	no	—
827	#124	C₂²×D₁₃	1	3	yes	—
828	#124	C₂²×D₁₃	1	6	yes	—
829	#124	C₂²×D₁₃	1	6	yes	—
830	#124	C₂²×D₁₃	1	6	yes	complemented
831	#123	—	13	6	no	—
832	#123	—	13	6	no	—
833	#123	—	13	6	no	—
834	#123	—	13	6	no	—
835	#123	—	13	6	no	—
836	#123	—	13	6	no	—
837	#123	—	13	6	no	—
838	#123	—	13	6	no	—
839	#123	—	13	6	no	—
840	#123	—	13	6	no	—
841	#123	—	13	6	no	—
842	#123	—	13	6	no	—
843	#123	—	13	6	no	—
844	#123	—	13	6	no	—
845	#123	—	13	6	no	—
846	#123	—	13	6	no	—
847	#123	—	13	6	no	—
848	#123	—	13	6	no	—
849	#123	—	13	6	no	—
850	#123	—	13	6	no	—
851	#123	—	13	6	no	—
852	#123	C₂²×D₁₃	1	6	yes	—
853	#123	C₂²×D₁₃	1	6	yes	—
854	#123	C₂²×D₁₃	1	6	yes	complemented
855	C₂²⋊Q₈	—	13	3	no	—
856	C₂²⋊Q₈	—	13	6	no	—
857	C₂²⋊Q₈	—	13	6	no	—
858	C₂²⋊Q₈	—	13	6	no	—
859	C₂²⋊Q₈	—	13	3	no	—
860	C₂²⋊Q₈	—	13	6	no	—
861	C₂²⋊Q₈	—	13	6	no	—
862	C₂²⋊Q₈	—	13	6	no	—
863	C₂²⋊Q₈	—	13	6	no	—
864	C₂²⋊Q₈	—	13	3	no	—
865	C₂²⋊Q₈	—	13	6	no	—
866	C₂²⋊Q₈	—	13	6	no	—
867	C₂²⋊Q₈	—	13	6	no	—
868	C₂²⋊Q₈	—	13	6	no	—
869	C₂²⋊Q₈	—	13	6	no	—
870	C₂²⋊Q₈	—	13	6	no	—
871	C₂²⋊Q₈	—	13	6	no	—
872	C₂²⋊Q₈	—	13	6	no	—
873	C₂²⋊Q₈	—	13	6	no	—
874	C₂²⋊Q₈	—	13	6	no	—
875	C₂²⋊Q₈	—	13	6	no	—
876	C₂²⋊Q₈	—	13	6	no	—
877	C₂²⋊Q₈	—	13	6	no	—
878	C₂²⋊Q₈	—	13	6	no	—
879	C₂²⋊Q₈	—	13	6	no	—
880	C₂²⋊Q₈	—	13	6	no	—
881	C₂²⋊Q₈	C₂²×D₁₃	1	3	yes	complemented
882	C₂²⋊Q₈	C₂²×D₁₃	1	6	yes	complemented
883	C₂²⋊Q₈	C₂²×D₁₃	1	6	yes	complemented
884	C₂²⋊Q₈	C₂²×D₁₃	1	6	yes	complemented
885	#121	—	13	3	no	—
886	#121	—	13	6	no	—
887	#121	—	13	6	no	—
888	#121	—	13	6	no	—
889	#121	—	13	6	no	—
890	#121	—	13	3	no	—
891	#121	—	13	6	no	—
892	#121	—	13	3	no	—
893	#121	—	13	6	no	—
894	#121	—	13	6	no	—
895	#121	—	13	6	no	—
896	#121	—	13	6	no	—
897	#121	C₂²×D₁₃	1	3	yes	—
898	#121	C₂²×D₁₃	1	6	yes	—
899	#120	—	13	2	no	—
900	#120	—	13	6	no	—
901	#120	—	13	6	no	—
902	#120	—	13	6	no	—
903	#120	—	13	6	no	—
904	#120	—	13	6	no	—
905	#120	—	13	6	no	—
906	#120	—	13	6	no	—
907	#120	—	13	6	no	—
908	#120	—	13	6	no	—
909	#120	C₂²×D₁₃	1	6	yes	—
910	#120	C₂²×D₁₃	1	2	yes	complemented
911	C₄×Q₈	—	13	3	no	—
912	C₄×Q₈	—	13	6	no	—
913	C₄×Q₈	—	13	3	no	—
914	C₄×Q₈	—	13	6	no	—
915	C₄×Q₈	—	13	6	no	—
916	C₄×Q₈	—	13	6	no	—
917	C₄×Q₈	—	13	6	no	—
918	C₄×Q₈	—	13	6	no	—
919	C₄×Q₈	—	13	3	no	—
920	C₄×Q₈	—	13	6	no	—
921	C₄×Q₈	—	13	6	no	—
922	C₄×Q₈	—	13	6	no	—
923	C₄×Q₈	C₂²×D₁₃	1	3	yes	complemented
924	C₄×Q₈	C₂²×D₁₃	1	6	yes	complemented
925	C₄×D₄	—	13	6	no	—
926	C₄×D₄	—	13	3	no	—
927	C₄×D₄	—	13	6	no	—
928	C₄×D₄	—	13	6	no	—
929	C₄×D₄	—	13	6	no	—
930	C₄×D₄	—	13	6	no	—
931	C₄×D₄	—	13	6	no	—
932	C₄×D₄	—	13	6	no	—
933	C₄×D₄	—	13	6	no	—
934	C₄×D₄	—	13	3	no	—
935	C₄×D₄	—	13	6	no	—
936	C₄×D₄	—	13	6	no	—
937	C₄×D₄	—	13	6	no	—
938	C₄×D₄	—	13	6	no	—
939	C₄×D₄	—	13	6	no	—
940	C₄×D₄	—	13	6	no	—
941	C₄×D₄	—	13	6	no	—
942	C₄×D₄	—	13	3	no	—
943	C₄×D₄	—	13	6	no	—
944	C₄×D₄	C₂²×D₁₃	1	3	yes	—
945	C₄×D₄	C₂²×D₁₃	1	6	yes	—
946	C₄×D₄	C₂²×D₁₃	1	6	yes	complemented
947	#117	—	13	6	no	—
948	#117	—	13	6	no	—
949	#117	—	13	6	no	—
950	#117	—	13	6	no	—
951	#117	—	13	6	no	—
952	#117	—	13	6	no	—
953	#117	—	13	6	no	—
954	#117	—	13	6	no	—
955	#117	—	13	6	no	—
956	#117	—	13	6	no	—
957	#117	—	13	6	no	—
958	#117	—	13	6	no	—
959	#117	—	13	6	no	—
960	#117	—	13	6	no	—
961	#117	C₂²×D₁₃	1	6	yes	complemented
962	#117	C₂²×D₁₃	1	6	yes	complemented
963	C₂×C₄⋊C₄	—	13	6	no	—
964	C₂×C₄⋊C₄	—	13	6	no	—
965	C₂×C₄⋊C₄	—	13	6	no	—
966	C₂×C₄⋊C₄	—	13	6	no	—
967	C₂×C₄⋊C₄	—	13	3	no	—
968	C₂×C₄⋊C₄	—	13	6	no	—
969	C₂×C₄⋊C₄	—	13	3	no	—
970	C₂×C₄⋊C₄	—	13	6	no	—
971	C₂×C₂²⋊C₄	—	13	6	no	—
972	C₂×C₂²⋊C₄	—	13	6	no	—
973	C₂×C₂²⋊C₄	—	13	6	no	—
974	C₂×C₂²⋊C₄	—	13	6	no	—
975	C₂×C₂²⋊C₄	—	13	6	no	—
976	C₂×C₂²⋊C₄	—	13	6	no	—
977	C₂×C₂²⋊C₄	—	13	6	no	—
978	C₂×C₂²⋊C₄	—	13	6	no	—
979	C₂×C₂²⋊C₄	—	13	6	no	—
980	C₂×C₂²⋊C₄	—	13	6	no	—
981	C₂×C₂²⋊C₄	—	13	6	no	—
982	C₂×C₂²⋊C₄	—	13	6	no	—
983	C₂×C₂²⋊C₄	—	13	6	no	—
984	C₂×C₂²⋊C₄	—	13	6	no	—
985	C₂×C₂²⋊C₄	—	13	6	no	—
986	C₂×C₂²⋊C₄	—	13	6	no	—
987	C₂×C₂²⋊C₄	C₂²×D₁₃	1	6	yes	complemented
988	C₂×C₄²	—	13	3	no	—
989	C₂×C₄²	—	13	6	no	—
990	C₂×C₄²	—	13	3	no	—
991	C₂×C₄²	—	13	6	no	—
992	C₂×C₄²	—	13	2	no	—
993	C₂×C₄²	—	13	1	no	—
994	C₂×C₄²	—	13	1	no	—
995	C₂×C₄²	—	13	3	no	—
996	C₂×C₄²	C₂²×D₁₃	1	1	yes	characteristic, complemented
997	C₂×C₁₃	—	4	6	no	—
998	C₂×C₁₃	—	4	1	no	—
999	C₂×C₁₃	C₂×#585	1	3	yes	—
1000	D₁₃	—	4	1	no	—
1001	D₁₃	—	4	6	no	—
1002	D₁₃	#3568	1	4	yes	direct product factor
1003	C₂⁴	—	13	6	no	—
1004	C₂⁴	—	13	1	no	—
1005	C₂⁴	—	13	6	no	—
1006	C₂⁴	—	52	12	no	—
1007	C₂⁴	C₂³×D₁₃	1	2	yes	—
1008	C₂×Q₈	—	13	6	no	—
1009	C₂×Q₈	—	13	6	no	—
1010	C₂×Q₈	—	13	6	no	—
1011	C₂×Q₈	—	13	3	no	—
1012	C₂×Q₈	—	13	6	no	—
1013	C₂×Q₈	—	52	12	no	—
1014	C₂×Q₈	—	52	6	no	—
1015	C₂×Q₈	C₂³×D₁₃	1	6	yes	—
1016	C₂×Q₈	C₂³×D₁₃	1	3	yes	—
1017	C₂×D₄	—	13	6	no	—
1018	C₂×D₄	—	13	6	no	—
1019	C₂×D₄	—	13	6	no	—
1020	C₂×D₄	—	13	6	no	—
1021	C₂×D₄	—	13	6	no	—
1022	C₂×D₄	—	13	3	no	—
1023	C₂×D₄	—	13	6	no	—
1024	C₂×D₄	—	13	6	no	—
1025	C₂×D₄	—	52	12	no	—
1026	C₂×D₄	—	52	6	no	—
1027	C₂×D₄	—	52	12	no	—
1028	C₂×D₄	C₂³×D₁₃	1	3	yes	—
1029	C₂×D₄	C₂³×D₁₃	1	6	yes	—
1030	C₂×D₄	C₂³×D₁₃	1	6	yes	—
1031	C₂²×C₄	—	13	3	no	—
1032	C₂²×C₄	—	13	6	no	—
1033	C₂²×C₄	—	13	6	no	—
1034	C₂²×C₄	—	13	3	no	—
1035	C₂²×C₄	—	13	6	no	—
1036	C₂²×C₄	—	13	6	no	—
1037	C₂²×C₄	—	13	3	no	—
1038	C₂²×C₄	—	13	6	no	—
1039	C₂²×C₄	—	13	3	no	—
1040	C₂²×C₄	—	13	3	no	—
1041	C₂²×C₄	—	13	6	no	—
1042	C₂²×C₄	—	13	6	no	—
1043	C₂²×C₄	—	13	6	no	—
1044	C₂²×C₄	—	13	6	no	—
1045	C₂²×C₄	—	52	12	no	—
1046	C₂²×C₄	—	52	6	no	—
1047	C₂²×C₄	—	52	12	no	—
1048	C₂²×C₄	C₂³×D₁₃	1	3	yes	—
1049	C₂²×C₄	C₂³×D₁₃	1	6	yes	—
1050	C₂²×C₄	C₂³×D₁₃	1	6	yes	—
1051	C₄⋊C₄	—	13	6	no	—
1052	C₄⋊C₄	—	13	6	no	—
1053	C₄⋊C₄	—	13	6	no	—
1054	C₄⋊C₄	—	13	6	no	—
1055	C₄⋊C₄	—	13	6	no	—
1056	C₄⋊C₄	—	13	6	no	—
1057	C₄⋊C₄	—	13	6	no	—
1058	C₄⋊C₄	—	13	6	no	—
1059	C₄⋊C₄	—	13	6	no	—
1060	C₄⋊C₄	—	13	6	no	—
1061	C₄⋊C₄	—	13	6	no	—
1062	C₄⋊C₄	—	13	6	no	—
1063	C₄⋊C₄	—	13	6	no	—
1064	C₄⋊C₄	—	13	3	no	—
1065	C₄⋊C₄	—	13	6	no	—
1066	C₄⋊C₄	—	13	6	no	—
1067	C₄⋊C₄	—	13	6	no	—
1068	C₄⋊C₄	—	13	6	no	—
1069	C₄⋊C₄	—	13	3	no	—
1070	C₄⋊C₄	—	13	6	no	—
1071	C₄⋊C₄	—	13	6	no	—
1072	C₄⋊C₄	—	13	6	no	—
1073	C₄⋊C₄	C₂³×D₁₃	1	6	yes	—
1074	C₄⋊C₄	C₂³×D₁₃	1	6	yes	—
1075	C₄⋊C₄	C₂³×D₁₃	1	6	yes	—
1076	C₄⋊C₄	C₂³×D₁₃	1	6	yes	—
1077	C₄⋊C₄	C₂³×D₁₃	1	3	yes	—
1078	C₄⋊C₄	C₂³×D₁₃	1	6	yes	—
1079	C₄⋊C₄	C₂³×D₁₃	1	3	yes	—
1080	C₄⋊C₄	C₂³×D₁₃	1	6	yes	—
1081	C₂²⋊C₄	—	13	6	no	—
1082	C₂²⋊C₄	—	13	6	no	—
1083	C₂²⋊C₄	—	13	6	no	—
1084	C₂²⋊C₄	—	13	6	no	—
1085	C₂²⋊C₄	—	13	6	no	—
1086	C₂²⋊C₄	—	13	6	no	—
1087	C₂²⋊C₄	—	13	6	no	—
1088	C₂²⋊C₄	—	13	6	no	—
1089	C₂²⋊C₄	—	13	6	no	—
1090	C₂²⋊C₄	—	13	6	no	—
1091	C₂²⋊C₄	—	13	6	no	—
1092	C₂²⋊C₄	—	13	6	no	—
1093	C₂²⋊C₄	—	13	6	no	—
1094	C₂²⋊C₄	—	13	6	no	—
1095	C₂²⋊C₄	—	13	6	no	—
1096	C₂²⋊C₄	—	13	6	no	—
1097	C₂²⋊C₄	—	13	6	no	—
1098	C₂²⋊C₄	—	13	6	no	—
1099	C₂²⋊C₄	—	13	6	no	—
1100	C₂²⋊C₄	—	13	6	no	—
1101	C₂²⋊C₄	—	13	6	no	—
1102	C₂²⋊C₄	—	13	6	no	—
1103	C₂²⋊C₄	—	13	6	no	—
1104	C₂²⋊C₄	—	13	6	no	—
1105	C₂²⋊C₄	—	13	6	no	—
1106	C₂²⋊C₄	—	13	6	no	—
1107	C₂²⋊C₄	—	13	6	no	—
1108	C₂²⋊C₄	C₂³×D₁₃	1	6	yes	—
1109	C₂²⋊C₄	C₂³×D₁₃	1	6	yes	—
1110	C₂²⋊C₄	C₂³×D₁₃	1	6	yes	—
1111	C₂²⋊C₄	C₂³×D₁₃	1	6	yes	—
1112	C₂²⋊C₄	C₂³×D₁₃	1	6	yes	—
1113	C₂²⋊C₄	C₂³×D₁₃	1	6	yes	—
1114	C₂²⋊C₄	C₂³×D₁₃	1	6	yes	—
1115	C₂²⋊C₄	C₂³×D₁₃	1	6	yes	—
1116	C₂²⋊C₄	C₂³×D₁₃	1	6	yes	—
1117	C₄²	—	13	3	no	—
1118	C₄²	—	13	3	no	—
1119	C₄²	—	13	3	no	—
1120	C₄²	—	13	3	no	—
1121	C₄²	—	13	6	no	—
1122	C₄²	—	13	6	no	—
1123	C₄²	—	13	6	no	—
1124	C₄²	—	13	6	no	—
1125	C₄²	—	13	6	no	—
1126	C₄²	—	13	6	no	—
1127	C₄²	—	13	6	no	—
1128	C₄²	C₂³×D₁₃	1	3	yes	—
1129	C₄²	C₂³×D₁₃	1	1	yes	characteristic
1130	C₄²	C₂³×D₁₃	1	6	yes	—
1131	C₄²	C₂³×D₁₃	1	6	yes	—
1132	C₄²	C₂³×D₁₃	1	2	yes	—
1133	C₁₃	C₂×#3568	1	1	yes	characteristic, complemented, Sylow
1134	C₂³	—	4	6	no	—
1135	C₂³	—	13	1	no	—
1136	C₂³	—	13	6	no	—
1137	C₂³	—	13	1	no	—
1138	C₂³	—	26	6	no	—
1139	C₂³	—	26	12	no	—
1140	C₂³	—	26	12	no	—
1141	C₂³	—	26	12	no	—
1142	C₂³	—	52	6	no	—
1143	C₂³	—	52	6	no	—
1144	C₂³	—	52	6	no	—
1145	C₂³	—	104	16	no	—
1146	C₂³	C₂⁴×D₁₃	1	6	yes	—
1147	C₂³	C₂⁴×D₁₃	1	1	yes	characteristic
1148	Q₈	—	4	6	no	—
1149	Q₈	—	4	3	no	—
1150	Q₈	—	52	6	no	—
1151	Q₈	—	52	6	no	—
1152	Q₈	—	52	3	no	—
1153	Q₈	—	52	6	no	—
1154	Q₈	—	52	6	no	—
1155	D₄	—	4	6	no	—
1156	D₄	—	4	3	no	—
1157	D₄	—	4	6	no	—
1158	D₄	—	52	6	no	—
1159	D₄	—	52	3	no	—
1160	D₄	—	52	6	no	—
1161	D₄	—	52	6	no	—
1162	D₄	—	52	6	no	—
1163	D₄	—	52	6	no	—
1164	D₄	—	52	6	no	—
1165	D₄	—	52	6	no	—
1166	C₂×C₄	—	4	6	no	—
1167	C₂×C₄	—	4	3	no	—
1168	C₂×C₄	—	4	6	no	—
1169	C₂×C₄	—	13	3	no	—
1170	C₂×C₄	—	13	6	no	—
1171	C₂×C₄	—	13	3	no	—
1172	C₂×C₄	—	13	6	no	—
1173	C₂×C₄	—	13	6	no	—
1174	C₂×C₄	—	26	6	no	—
1175	C₂×C₄	—	26	12	no	—
1176	C₂×C₄	—	26	12	no	—
1177	C₂×C₄	—	26	6	no	—
1178	C₂×C₄	—	26	12	no	—
1179	C₂×C₄	—	52	6	no	—
1180	C₂×C₄	—	52	3	no	—
1181	C₂×C₄	—	52	6	no	—
1182	C₂×C₄	—	52	6	no	—
1183	C₂×C₄	—	52	3	no	—
1184	C₂×C₄	—	52	6	no	—
1185	C₂×C₄	—	52	6	no	—
1186	C₂×C₄	—	52	3	no	—
1187	C₂×C₄	—	52	6	no	—
1188	C₂×C₄	C₂⁴×D₁₃	1	3	yes	—
1189	C₂×C₄	C₂⁴×D₁₃	1	6	yes	—
1190	C₂×C₄	C₂⁴×D₁₃	1	3	yes	—
1191	C₂×C₄	C₂⁴×D₁₃	1	6	yes	—
1192	C₂×C₄	C₂⁴×D₁₃	1	6	yes	—
1193	C₂²	—	2	3	no	—
1194	C₂²	—	2	6	no	—
1195	C₂²	—	2	6	no	—
1196	C₂²	—	2	6	no	—
1197	C₂²	—	8	4	no	—
1198	C₂²	—	13	6	no	—
1199	C₂²	—	26	3	no	—
1200	C₂²	—	26	6	no	—
1201	C₂²	—	26	6	no	—
1202	C₂²	—	26	6	no	—
1203	C₂²	—	52	4	no	—
1204	C₂²	—	52	24	no	—
1205	C₂²	—	104	12	no	—
1206	C₂²	C₂⁵×D₁₃	1	1	yes	characteristic
1207	C₄	—	2	3	no	—
1208	C₄	—	2	6	no	—
1209	C₄	—	2	3	no	—
1210	C₄	—	2	6	no	—
1211	C₄	—	2	6	no	—
1212	C₄	—	26	3	no	—
1213	C₄	—	26	6	no	—
1214	C₄	—	26	3	no	—
1215	C₄	—	26	6	no	—
1216	C₄	—	26	6	no	—
1217	C₂	—	4	6	no	—
1218	C₂	—	4	1	no	—
1219	C₂	—	13	4	no	—
1220	C₂	—	52	6	no	—
1221	C₂	—	52	1	no	—
1222	C₂	D₁₃×#585	1	3	yes	—

	subgroup	G/H
center, Frattini	C₂²	C₂⁵×D₁₃
commutator, socle, cosocle	C₂²×C₁₃	C₂⁶
Fitting	C₁₃×#3568	C₂
hypercenter	#3568	D₁₃
hypocenter	C₁₃	C₂×#3568
LCS	G ▷ C₂²×C₁₃ ▷ C₁₃
UCS	C₁ ◁ C₂² ◁ #3568

Complements

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

N	H ≅ G/N	type
1. #13129533	C₂	semidirect
2. #13129532	C₂	semidirect
3. #13129531	C₂	semidirect
4. #13129530	C₂	semidirect
5. #13129529	C₂	semidirect
6. #13129528	C₂	semidirect
7. #13129527	C₂	semidirect
8. D₁₃×#563	C₂	semidirect
9. D₁₃×H(3,𝔽₄)	C₂	semidirect
10. D₁₃×#556	C₂	semidirect
11. D₁₃×#551	C₂	semidirect
12. D₁₃×#542	C₂	semidirect
13. D₁₃×#538	C₂	semidirect
14. D₁₃×#529	C₂	semidirect
15. C₁₃×#3568	C₂	semidirect
16. C₁₃×#563	C₂²	semidirect
17. C₁₃×H(3,𝔽₄)	C₂²	semidirect
18. C₁₃×#556	C₂²	semidirect
19. C₁₃×#551	C₂²	semidirect
20. C₁₃×#542	C₂²	semidirect
21. C₁₃×#538	C₂²	semidirect
22. C₁₃×#529	C₂²	semidirect
23. #11719440	C₂²	semidirect
24. #11719438	C₂²	semidirect
25. #11719437	C₂²	semidirect
26. D₁₃×C₄⋊Q₈	C₂²	semidirect
27. #11719417	C₂²	semidirect
28. #11719417	C₂²	semidirect
29. #11719415	C₂²	semidirect
30. #11719415	C₂²	semidirect
31. #11719411	C₂²	semidirect
32. #11719410	C₂²	semidirect
33. #11719410	C₂²	semidirect
34. #11719409	C₂²	semidirect
35. #11719409	C₂²	semidirect
36. D₁₃×#126	C₂²	semidirect
37. D₁₃×#126	C₂²	semidirect
38. D₁₃×#126	C₂²	semidirect
39. D₁₃×#126	C₂²	semidirect
40. D₁₃×#126	C₂²	semidirect
41. #11719407	C₂²	semidirect
42. #11719407	C₂²	semidirect
43. #11719407	C₂²	semidirect
44. #11719407	C₂²	semidirect
45. #11719404	C₂²	semidirect
46. #11719404	C₂²	semidirect
47. #11719396	C₂²	semidirect
48. D₁₃×#125	C₂²	semidirect
49. #11719388	C₂²	semidirect
50. #11719388	C₂²	semidirect
51. #11719387	C₂²	semidirect
52. #11719385	C₂²	semidirect
53. #11719384	C₂²	semidirect
54. #11719383	C₂²	semidirect
55. #11719383	C₂²	semidirect
59. D₁₃×#124	C₂²	semidirect
60. #11719377	C₂²	semidirect
61. #11719376	C₂²	semidirect
62. #11719376	C₂²	semidirect
63. #11719374	C₂²	semidirect
64. #11719374	C₂²	semidirect
65. #11719367	C₂²	semidirect
66. #11719367	C₂²	semidirect
67. #11719364	C₂²	semidirect
68. #11719363	C₂²	semidirect
69. #11719363	C₂²	semidirect
70. #11719362	C₂²	semidirect
71. #11719362	C₂²	semidirect
74. D₁₃×#123	C₂²	semidirect
75. #11719356	C₂²	semidirect
76. #11719354	C₂²	semidirect
77. #11719351	C₂²	semidirect
78. #11719351	C₂²	semidirect
79. #11719349	C₂²	semidirect
80. #11719348	C₂²	semidirect
81. #11719346	C₂²	semidirect
82. #11719346	C₂²	semidirect
83. #11719345	C₂²	semidirect
84. #11719345	C₂²	semidirect
85. #11719342	C₂²	semidirect
86. #11719342	C₂²	semidirect
87. D₁₃×C₂²⋊Q₈	C₂²	semidirect
88. D₁₃×C₂²⋊Q₈	C₂²	semidirect
89. D₁₃×C₂²⋊Q₈	C₂²	semidirect
90. D₁₃×C₂²⋊Q₈	C₂²	semidirect
91. #11719329	C₂²	semidirect
92. #11719322	C₂²	semidirect
93. #11719318	C₂²	semidirect
94. #11719318	C₂²	semidirect
97. #11719308	C₂²	semidirect
98. #11719305	C₂²	semidirect
99. #11719299	C₂²	semidirect
100. #11719298	C₂²	semidirect
101. #11719298	C₂²	semidirect
103. D₁₃×#120	C₂²	semidirect
104. #11719292	C₂²	semidirect
105. #11719289	C₂²	semidirect
106. #11719287	C₂²	semidirect
107. #11719285	C₂²	semidirect
108. C₄×Q₈×D₁₃	C₂²	semidirect
109. C₄×Q₈×D₁₃	C₂²	semidirect
110. #11719273	C₂²	semidirect
111. #11719273	C₂²	semidirect
112. #11719266	C₂²	semidirect
113. #11719265	C₂²	semidirect
114. #11719265	C₂²	semidirect
115. #11719262	C₂²	semidirect
116. #11719261	C₂²	semidirect
117. #11719261	C₂²	semidirect
120. C₄×D₄×D₁₃	C₂²	semidirect
121. #11719247	C₂²	semidirect
122. #11719243	C₂²	semidirect
123. #11719239	C₂²	semidirect
124. #11719238	C₂²	semidirect
125. #11719238	C₂²	semidirect
126. #11719233	C₂²	semidirect
127. #11719232	C₂²	semidirect
128. #11719232	C₂²	semidirect
129. D₁₃×#117	C₂²	semidirect
130. D₁₃×#117	C₂²	semidirect
131. #11719200	C₂²	semidirect
132. #11719200	C₂²	semidirect
133. #11719199	C₂²	semidirect
134. C₂×C₂²⋊C₄×D₁₃	C₂²	semidirect
135. #11719184	C₂²	semidirect
136. C₂×C₄²×D₁₃	C₂²	semidirect
146. C₁₃×C₄⋊Q₈	C₂³	semidirect
147. C₁₃×#126	C₂³	semidirect
148. C₁₃×#126	C₂³	semidirect
149. C₁₃×#126	C₂³	semidirect
150. C₁₃×#126	C₂³	semidirect
151. C₁₃×#126	C₂³	semidirect
152. C₁₃×#125	C₂³	semidirect
156. C₁₃×#124	C₂³	semidirect
159. C₁₃×#123	C₂³	semidirect
160. C₁₃×C₂²⋊Q₈	C₂³	semidirect
161. C₁₃×C₂²⋊Q₈	C₂³	semidirect
162. C₁₃×C₂²⋊Q₈	C₂³	semidirect
163. C₁₃×C₂²⋊Q₈	C₂³	semidirect
167. C₁₃×#120	C₂³	semidirect
168. C₄×Q₈×C₁₃	C₂³	semidirect
169. C₄×Q₈×C₁₃	C₂³	semidirect
172. C₄×D₄×C₁₃	C₂³	semidirect
173. C₁₃×#117	C₂³	semidirect
174. C₁₃×#117	C₂³	semidirect
175. C₂×C₁₃×C₂²⋊C₄	C₂³	semidirect
176. C₂×C₄²×C₁₃	C₂³	semidirect
178. #88207	C₂³	semidirect
179. C₂×C₂²⋊Dic₁₃	C₂³	semidirect
183. #88201	C₂³	semidirect
184. #88200	C₂³	semidirect
185. #88200	C₂³	semidirect
186. #88200	C₂³	semidirect
187. #88200	C₂³	semidirect
188. Q₈×Dic₁₃	C₂³	semidirect
189. Q₈×Dic₁₃	C₂³	semidirect
190. #88198	C₂³	semidirect
191. #88198	C₂³	semidirect
200. #88191	C₂³	semidirect
204. #88190	C₂³	semidirect
207. #88189	C₂³	semidirect
210. D₄×Dic₁₃	C₂³	semidirect
215. #88183	C₂³	semidirect
219. C₄×C₂²⋊D₁₃	C₂³	semidirect
220. C₄×C₂²⋊D₁₃	C₂³	semidirect
221. C₂×#6103	C₂³	semidirect
222. C₂×#6103	C₂³	semidirect
223. #88180	C₂³	semidirect
224. #88180	C₂³	semidirect
225. #88178	C₂³	semidirect
226. #88178	C₂³	semidirect
227. #88178	C₂³	semidirect
228. #88178	C₂³	semidirect
229. C₂×C₄×Dic₁₃	C₂³	semidirect
230. #88152	C₂³	semidirect
231. #88152	C₂³	semidirect
232. #88152	C₂³	semidirect
233. #88152	C₂³	semidirect
234. #88152	C₂³	semidirect
235. #88152	C₂³	semidirect
236. #88152	C₂³	semidirect
237. #88152	C₂³	semidirect
238. #88152	C₂³	semidirect
239. #88152	C₂³	semidirect
240. #88152	C₂³	semidirect
241. #88152	C₂³	semidirect
242. #88152	C₂³	semidirect
243. #88151	C₂³	semidirect
244. #88151	C₂³	semidirect
245. #88151	C₂³	semidirect
246. #88151	C₂³	semidirect
247. #88150	C₂³	semidirect
248. #88150	C₂³	semidirect
249. #88150	C₂³	semidirect
250. #88150	C₂³	semidirect
251. #88150	C₂³	semidirect
252. #88150	C₂³	semidirect
253. #88150	C₂³	semidirect
260. #88148	C₂³	semidirect
261. #88148	C₂³	semidirect
264. #88147	C₂³	semidirect
265. #88146	C₂³	semidirect
266. #88146	C₂³	semidirect
267. #88146	C₂³	semidirect
268. #88146	C₂³	semidirect
277. #88144	C₂³	semidirect
278. #88144	C₂³	semidirect
279. #88143	C₂³	semidirect
280. #88143	C₂³	semidirect
281. #88142	C₂³	semidirect
282. #88142	C₂³	semidirect
283. #88142	C₂³	semidirect
284. #88142	C₂³	semidirect
285. #88141	C₂³	semidirect
286. #88141	C₂³	semidirect
287. #88141	C₂³	semidirect
288. #88141	C₂³	semidirect
289. #88141	C₂³	semidirect
292. #88140	C₂³	semidirect
303. #88139	C₂³	semidirect
304. #88139	C₂³	semidirect
305. #88139	C₂³	semidirect
306. #88139	C₂³	semidirect
314. #88137	C₂³	semidirect
315. #88137	C₂³	semidirect
319. #88136	C₂³	semidirect
323. #88135	C₂³	semidirect
324. #88135	C₂³	semidirect
334. C₂²⋊C₄×D₁₃	C₂³	semidirect
335. C₂²⋊C₄×D₁₃	C₂³	semidirect
336. C₂²⋊C₄×D₁₃	C₂³	semidirect
337. C₂²⋊C₄×D₁₃	C₂³	semidirect
338. #88133	C₂³	semidirect
339. #88133	C₂³	semidirect
340. #88133	C₂³	semidirect
341. #88133	C₂³	semidirect
342. #88133	C₂³	semidirect
343. #88133	C₂³	semidirect
344. #88133	C₂³	semidirect
345. #88133	C₂³	semidirect
346. #88133	C₂³	semidirect
347. #88133	C₂³	semidirect
348. #88133	C₂³	semidirect
349. #88133	C₂³	semidirect
350. #88133	C₂³	semidirect
351. #88132	C₂³	semidirect
352. #88132	C₂³	semidirect
353. #88132	C₂³	semidirect
354. #88132	C₂³	semidirect
355. #88132	C₂³	semidirect
356. #88132	C₂³	semidirect
357. #88132	C₂³	semidirect
358. #88131	C₂³	semidirect
359. #88131	C₂³	semidirect
360. #88131	C₂³	semidirect
361. #88131	C₂³	semidirect
362. #88130	C₂³	semidirect
363. #88130	C₂³	semidirect
364. #88130	C₂³	semidirect
365. #88130	C₂³	semidirect
366. #88130	C₂³	semidirect
370. #88129	C₂³	semidirect
373. C₄×D₅₂	C₂³	semidirect
374. #88126	C₂³	semidirect
375. #88126	C₂³	semidirect
376. #88126	C₂³	semidirect
377. #88126	C₂³	semidirect
383. C₄²×D₁₃	C₂³	semidirect
384. C₄²×D₁₃	C₂³	semidirect
385. #88124	C₂³	semidirect
386. #88123	C₂³	semidirect
387. C₄×Dic₂₆	C₂³	semidirect
388. C₄×Dic₂₆	C₂³	semidirect
389. C₄×Dic₂₆	C₂³	semidirect
390. C₄×Dic₂₆	C₂³	semidirect
391. C₄×Dic₂₆	C₂³	semidirect
530. #3568	D₁₃	direct (N × H)
606. #563	C₂×D₁₃	semidirect
610. H(3,𝔽₄)	C₂×D₁₃	semidirect
626. #556	C₂×D₁₃	semidirect
642. #551	C₂×D₁₃	semidirect
658. #542	C₂×D₁₃	semidirect
674. #538	C₂×D₁₃	semidirect
687. #529	C₂×D₁₃	semidirect
758. C₄⋊Q₈	C₂²×D₁₃	semidirect
790. #126	C₂²×D₁₃	semidirect
791. #126	C₂²×D₁₃	semidirect
792. #126	C₂²×D₁₃	semidirect
793. #126	C₂²×D₁₃	semidirect
794. #126	C₂²×D₁₃	semidirect
800. #125	C₂²×D₁₃	semidirect
830. #124	C₂²×D₁₃	semidirect
854. #123	C₂²×D₁₃	semidirect
881. C₂²⋊Q₈	C₂²×D₁₃	semidirect
882. C₂²⋊Q₈	C₂²×D₁₃	semidirect
883. C₂²⋊Q₈	C₂²×D₁₃	semidirect
884. C₂²⋊Q₈	C₂²×D₁₃	semidirect
910. #120	C₂²×D₁₃	semidirect
923. C₄×Q₈	C₂²×D₁₃	semidirect
924. C₄×Q₈	C₂²×D₁₃	semidirect
946. C₄×D₄	C₂²×D₁₃	semidirect
961. #117	C₂²×D₁₃	semidirect
962. #117	C₂²×D₁₃	semidirect
987. C₂×C₂²⋊C₄	C₂²×D₁₃	semidirect
996. C₂×C₄²	C₂²×D₁₃	semidirect
1002. D₁₃	#3568	direct (N × H)
1133. C₁₃	C₂×#3568	semidirect

Maximal subgroups

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

subgroup	index
#13129533	2
#13129532	2
#13129531	2
#13129530	2
#13129529	2
#13129528	2
#13129527	2
D₁₃×#563	2
D₁₃×H(3,𝔽₄)	2
D₁₃×#556	2
D₁₃×#551	2
D₁₃×#542	2
D₁₃×#538	2
D₁₃×#529	2
C₁₃×#3568	2
C₂×#3568	13

Subgroups — D13×#3568 #16770345

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — D₁₃×#3568 #16770345