Subgroups — C₁₃×#62570 #15748909

Order 3328.

1776 conjugacy classes of subgroups.

The subgroup lattice has 1056 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₁₃×#3558	C₂	1	1	yes	maximal, characteristic, complemented
2	C₁₃×#3547	C₂	1	1	yes	maximal, characteristic, complemented
3	C₁₃×#3373	C₂	1	2	yes	maximal, complemented
4	C₁₃×#3370	C₂	1	2	yes	maximal, complemented
5	C₁₃×#3326	C₂	1	2	yes	maximal, complemented
6	C₁₃×#3325	C₂	1	2	yes	maximal, complemented
7	C₁₃×#3321	C₂	1	2	yes	maximal, complemented
8	C₁₃×#3319	C₂	1	2	yes	maximal, complemented
9	C₁₃×#3318	C₂	1	2	yes	maximal, complemented
10	C₁₃×#3306	C₂	1	2	yes	maximal, complemented
11	C₁₃×#3244	C₂	1	2	yes	maximal, complemented
12	C₁₃×#3235	C₂	1	1	yes	maximal, characteristic, complemented
13	C₁₃×#3220	C₂	1	2	yes	maximal, complemented
14	C₁₃×#3213	C₂	1	1	yes	maximal, characteristic, complemented
15	C₁₃×#3184	C₂	1	1	yes	maximal, characteristic, complemented
16	C₁₃×#3179	C₂	1	2	yes	maximal, complemented
17	C₁₃×#3140	C₂	1	1	yes	maximal, characteristic, complemented
18	C₁₃×#3136	C₂	1	2	yes	maximal, complemented
19	C₁₃×#2967	C₂	1	1	yes	maximal, characteristic, complemented
20	C₁₃×#562	—	2	1	no	—
21	C₁₃×#562	—	2	2	no	—
22	C₁₃×H(3,𝔽₄)	—	2	1	no	—
23	C₁₃×#559	C₂²	1	2	yes	—
24	C₁₃×#555	C₂²	1	1	yes	characteristic, complemented
25	C₁₃×#555	C₂²	1	2	yes	complemented
26	C₁₃×#554	C₂²	1	1	yes	characteristic, complemented
27	C₁₃×#553	C₂²	1	2	yes	complemented
28	C₁₃×#552	—	2	1	no	—
29	D₄×Q₈×C₁₃	C₂²	1	1	yes	characteristic, complemented
30	C₁₃×#548	—	2	1	no	—
31	C₁₃×#548	C₂²	1	2	yes	—
32	C₁₃×#547	C₂²	1	1	yes	characteristic, complemented
33	C₁₃×#546	—	2	2	no	—
34	C₁₃×#546	C₂²	1	2	yes	—
35	D₄²×C₁₃	C₂²	1	2	yes	—
36	C₁₃×#544	C₂²	1	2	yes	complemented
37	C₁₃×#542	—	2	2	no	—
38	C₁₃×#542	C₂²	1	2	yes	—
39	C₁₃×#540	C₂²	1	2	yes	complemented
40	C₁₃×#538	—	2	2	no	—
41	C₁₃×#538	—	2	1	no	—
42	C₁₃×#537	—	2	1	no	—
43	C₁₃×#536	—	2	1	no	—
44	C₁₃×#535	C₂²	1	2	yes	—
45	C₁₃×#534	—	2	1	no	—
46	C₁₃×#533	C₂²	1	1	yes	characteristic, complemented
47	C₁₃×#532	C₂²	1	1	yes	characteristic
48	C₁₃×#532	C₂²	1	1	yes	characteristic, complemented
49	C₁₃×#529	C₂²	1	1	yes	characteristic
50	C₂×C₁₃×#124	C₂²	1	1	yes	characteristic
51	C₁₃×#501	C₂²	1	2	yes	complemented
52	C₁₃×#498	C₂²	1	1	yes	characteristic, complemented
53	C₁₃×#496	C₂²	1	2	yes	complemented
54	C₁₃×#493	C₂²	1	1	yes	characteristic, complemented
55	C₁₃×#490	C₂²	1	2	yes	—
56	C₁₃×#490	C₂²	1	2	yes	complemented
57	C₁₃×#489	C₂²	1	2	yes	complemented
58	C₁₃×#489	C₂²	1	2	yes	complemented
59	C₁₃×#489	C₂²	1	2	yes	complemented
60	C₁₃×#489	C₂²	1	2	yes	complemented
61	C₁₃×#488	C₂²	1	2	yes	complemented
62	C₁₃×#488	C₂²	1	2	yes	complemented
63	C₁₃×#488	C₂²	1	2	yes	complemented
64	C₁₃×#486	C₂²	1	2	yes	—
65	C₁₃×#486	C₂²	1	1	yes	characteristic, complemented
66	C₁₃×#486	C₂²	1	1	yes	characteristic, complemented
67	C₁₃×#485	C₂²	1	2	yes	complemented
68	C₁₃×#483	C₂²	1	2	yes	complemented
69	C₁₃×#482	C₂²	1	2	yes	—
70	C₁₃×#482	C₂²	1	2	yes	complemented
71	C₁₃×#482	C₂²	1	2	yes	complemented
72	C₁₃×#481	C₂²	1	2	yes	—
73	C₁₃×#479	C₂²	1	2	yes	complemented
74	C₁₃×#478	C₂²	1	2	yes	complemented
75	C₁₃×#476	C₂²	1	2	yes	complemented
76	C₁₃×#476	C₂²	1	2	yes	complemented
77	C₁₃×#475	C₂²	1	2	yes	complemented
78	C₁₃×#474	C₂²	1	2	yes	complemented
79	C₁₃×#469	C₂²	1	2	yes	—
80	C₁₃×#469	C₂²	1	2	yes	complemented
81	C₁₃×#469	C₂²	1	2	yes	complemented
82	C₁₃×#468	C₂²	1	2	yes	complemented
83	C₁₃×#466	C₂²	1	2	yes	—
84	C₁₃×#465	C₂²	1	2	yes	complemented
85	C₁₃×#463	C₂²	1	2	yes	complemented
86	C₁₃×#463	C₂²	1	2	yes	complemented
87	C₁₃×#463	C₂²	1	2	yes	complemented
88	C₁₃×#463	C₂²	1	2	yes	complemented
89	C₁₃×#459	C₂²	1	2	yes	—
90	C₁₃×#459	C₂²	1	2	yes	—
91	C₁₃×#449	C₂²	1	2	yes	complemented
92	C₁₃×#449	C₂²	1	2	yes	complemented
93	C₁₃×#448	C₂²	1	1	yes	characteristic, complemented
94	C₁₃×#448	C₂²	1	1	yes	characteristic, complemented
95	C₁₃×#447	C₂²	1	1	yes	characteristic
96	C₁₃×#447	C₂²	1	1	yes	characteristic
97	C₁₃×#447	C₂²	1	2	yes	complemented
98	C₁₃×#447	C₂²	1	2	yes	complemented
99	C₁₃×#446	C₂²	1	2	yes	complemented
100	C₁₃×#442	C₂²	1	2	yes	complemented
101	C₁₃×#442	C₂²	1	2	yes	complemented
102	C₁₃×#442	C₂²	1	2	yes	complemented
103	C₁₃×#440	C₂²	1	2	yes	complemented
104	C₄×C₁₃×SD₁₆	C₂²	1	2	yes	complemented
105	C₄×C₁₃×D₈	C₂²	1	2	yes	complemented
106	C₁₃×#436	C₂²	1	2	yes	complemented
107	C₁₃×#435	C₂²	1	2	yes	complemented
108	C₁₃×#435	C₂²	1	2	yes	complemented
109	C₁₃×#433	C₂²	1	2	yes	complemented
110	C₁₃×#432	C₂²	1	1	yes	characteristic, complemented
111	C₁₃×#419	C₂²	1	2	yes	complemented
112	C₁₃×#418	C₂²	1	2	yes	—
113	C₁₃×#418	C₂²	1	2	yes	complemented
114	C₁₃×#417	C₂²	1	2	yes	complemented
115	C₁₃×#416	C₂²	1	2	yes	complemented
116	C₂×C₁₃×#102	C₂²	1	2	yes	complemented
117	C₁₃×#405	C₂²	1	2	yes	complemented
118	C₄×C₁₃×M₁₆	C₂²	1	1	yes	characteristic, complemented
119	C₂×C₁₃×#41	—	2	1	no	—
120	C₂×C₁₃×#41	—	2	1	no	—
121	C₂×C₁₃×#41	—	2	1	no	—
122	C₂×C₁₃×#41	C₂³	1	2	yes	—
123	C₂²×Q₈×C₁₃	—	2	1	no	—
124	C₂²×Q₈×C₁₃	C₂³	1	1	yes	characteristic
125	C₂²×D₄×C₁₃	—	2	2	no	—
126	C₂²×D₄×C₁₃	C₂³	1	2	yes	—
127	C₂²×D₄×C₁₃	C₂³	1	1	yes	characteristic
128	C₂×C₁₃×SD₁₆	C₂³	1	2	yes	—
129	C₂×C₁₃×SD₁₆	C₂³	1	2	yes	—
130	C₂×C₁₃×D₈	C₂³	1	2	yes	—
131	C₂×C₁₃×D₈	C₂³	1	2	yes	—
132	C₂×C₁₃×D₈	C₂³	1	2	yes	—
133	C₂×C₁₃×D₈	C₂³	1	2	yes	—
134	C₂×C₁₃×M₁₆	C₂³	1	2	yes	—
135	C₂×C₁₃×M₁₆	C₂³	1	2	yes	—
136	C₂²×C₈×C₁₃	C₂³	1	2	yes	—
137	C₁₃×C₄⋊Q₈	—	2	2	no	—
138	C₁₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
139	C₁₃×C₄⋊Q₈	C₂³	1	2	yes	—
140	C₁₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
141	C₁₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
142	C₁₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
143	C₁₃×#127	C₂³	1	2	yes	—
144	C₁₃×#127	C₂³	1	1	yes	characteristic
145	C₁₃×#127	C₂³	1	1	yes	characteristic
146	C₁₃×#126	—	2	2	no	—
147	C₁₃×#126	—	2	2	no	—
148	C₁₃×#126	D₄	1	2	yes	—
149	C₁₃×#125	—	2	2	no	—
150	C₁₃×#125	D₄	1	1	yes	characteristic
151	C₁₃×#125	C₂³	1	2	yes	—
152	C₁₃×#125	C₂³	1	2	yes	—
153	C₁₃×#124	—	2	2	no	—
154	C₁₃×#124	—	2	2	no	—
155	C₁₃×#124	—	2	2	no	—
156	C₁₃×#124	—	2	2	no	—
157	C₁₃×#124	—	2	2	no	—
158	C₁₃×#124	—	2	2	no	—
159	C₁₃×#124	—	2	1	no	—
160	C₁₃×#124	—	2	1	no	—
161	C₁₃×#124	—	2	1	no	—
162	C₁₃×#124	—	2	1	no	—
163	C₁₃×#124	D₄	1	1	yes	characteristic
164	C₁₃×#124	C₂³	1	2	yes	—
165	C₁₃×#124	C₂³	1	2	yes	—
166	C₁₃×#124	C₂³	1	2	yes	—
167	C₁₃×#123	—	2	2	no	—
168	C₁₃×#123	—	2	2	no	—
169	C₁₃×#123	—	2	2	no	—
170	C₁₃×#123	—	2	2	no	—
171	C₁₃×#123	—	2	2	no	—
172	C₁₃×#123	—	2	2	no	—
173	C₁₃×#123	—	2	2	no	—
174	C₁₃×#123	—	2	2	no	—
175	C₁₃×#123	D₄	1	2	yes	—
176	C₁₃×C₂²⋊Q₈	—	2	1	no	—
177	C₁₃×C₂²⋊Q₈	—	2	1	no	—
178	C₁₃×C₂²⋊Q₈	—	2	1	no	—
179	C₁₃×C₂²⋊Q₈	—	2	1	no	—
180	C₁₃×C₂²⋊Q₈	—	2	1	no	—
181	C₁₃×C₂²⋊Q₈	—	2	2	no	—
182	C₁₃×C₂²⋊Q₈	—	2	2	no	—
183	C₁₃×C₂²⋊Q₈	—	2	2	no	—
184	C₁₃×C₂²⋊Q₈	—	2	2	no	—
185	C₁₃×C₂²⋊Q₈	—	2	2	no	—
186	C₁₃×C₂²⋊Q₈	—	2	2	no	—
187	C₁₃×C₂²⋊Q₈	D₄	1	1	yes	characteristic
188	C₁₃×C₂²⋊Q₈	C₂³	1	2	yes	—
189	C₁₃×#121	—	2	2	no	—
190	C₁₃×#121	—	2	1	no	—
191	C₁₃×#121	—	2	2	no	—
192	C₁₃×#121	—	2	2	no	—
193	C₁₃×#121	—	2	1	no	—
194	C₁₃×#121	—	2	1	no	—
195	C₁₃×#121	—	2	2	no	—
196	C₁₃×#121	—	2	2	no	—
197	C₁₃×#121	—	2	2	no	—
198	C₁₃×#121	—	2	2	no	—
199	C₁₃×#121	—	2	2	no	—
200	C₁₃×#121	—	2	2	no	—
201	C₁₃×#121	D₄	1	1	yes	characteristic
202	C₁₃×#121	C₂³	1	1	yes	characteristic
203	C₁₃×#121	C₂³	1	1	yes	characteristic
204	C₁₃×#121	C₂³	1	2	yes	—
205	C₁₃×#121	C₂³	1	2	yes	—
206	C₁₃×#121	C₂³	1	2	yes	—
207	C₁₃×#121	C₂³	1	2	yes	—
208	C₁₃×#120	—	2	2	no	—
209	C₁₃×#120	—	2	2	no	—
210	C₁₃×#120	—	2	2	no	—
211	C₁₃×#120	—	2	2	no	—
212	C₁₃×#120	—	2	2	no	—
213	C₄×Q₈×C₁₃	—	2	1	no	—
214	C₄×Q₈×C₁₃	—	2	1	no	—
215	C₄×Q₈×C₁₃	C₂³	1	2	yes	—
216	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
217	C₄×D₄×C₁₃	—	2	2	no	—
218	C₄×D₄×C₁₃	—	2	2	no	—
219	C₄×D₄×C₁₃	—	2	2	no	—
220	C₄×D₄×C₁₃	—	2	1	no	—
221	C₄×D₄×C₁₃	—	2	1	no	—
222	C₄×D₄×C₁₃	C₂³	1	2	yes	—
223	C₄×D₄×C₁₃	C₂³	1	2	yes	—
224	C₄×D₄×C₁₃	C₂³	1	2	yes	—
225	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
226	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
227	C₄×D₄×C₁₃	C₂³	1	2	yes	—
228	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
229	C₄×D₄×C₁₃	C₂³	1	2	yes	—
230	C₁₃×#117	—	2	1	no	—
231	C₁₃×#117	—	2	2	no	—
232	C₁₃×#117	C₂³	1	2	yes	—
233	C₁₃×#117	C₂³	1	2	yes	—
234	C₁₃×#117	C₂³	1	2	yes	—
235	C₂×C₁₃×C₄⋊C₄	—	2	1	no	—
236	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
237	C₂×C₁₃×C₂²⋊C₄	—	2	1	no	—
238	C₂×C₁₃×C₂²⋊C₄	—	2	1	no	—
239	C₂×C₁₃×C₂²⋊C₄	—	2	2	no	—
240	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
241	C₁₃×#107	C₂³	1	2	yes	—
242	C₁₃×#107	C₂³	1	2	yes	—
243	C₁₃×#106	C₂³	1	2	yes	—
244	C₁₃×#106	C₂³	1	2	yes	—
245	C₁₃×#106	C₂³	1	2	yes	—
246	C₁₃×#106	C₂³	1	2	yes	—
247	C₁₃×C₄⋊C₈	C₂³	1	2	yes	—
248	C₁₃×C₄⋊C₈	C₂³	1	2	yes	—
249	C₁₃×C₄⋊C₈	C₂³	1	2	yes	—
250	C₁₃×#103	C₂³	1	2	yes	—
251	C₁₃×#103	C₂³	1	2	yes	—
252	C₁₃×#103	C₂³	1	2	yes	—
253	C₁₃×#103	C₂³	1	2	yes	—
254	C₁₃×#103	C₂³	1	2	yes	—
255	C₁₃×#103	C₂³	1	2	yes	—
256	C₁₃×#102	C₂³	1	2	yes	—
257	C₁₃×#102	C₂³	1	2	yes	—
258	C₁₃×#102	C₂³	1	2	yes	—
259	C₁₃×#102	C₂³	1	2	yes	—
260	C₁₃×#102	C₂³	1	2	yes	—
261	C₁₃×#102	C₂³	1	2	yes	—
262	C₁₃×#102	C₂³	1	2	yes	—
263	C₁₃×#102	C₂³	1	2	yes	—
264	C₁₃×#102	C₂³	1	2	yes	—
265	C₁₃×#102	C₂³	1	2	yes	—
266	C₁₃×#102	C₂³	1	2	yes	—
267	C₁₃×#102	C₂³	1	2	yes	—
268	C₁₃×#102	C₂³	1	2	yes	—
269	C₁₃×#102	C₂³	1	2	yes	—
270	C₁₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
271	C₁₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
272	C₁₃×C₂²⋊C₈	C₂³	1	2	yes	—
273	C₁₃×C₂²⋊C₈	C₂³	1	2	yes	—
274	C₁₃×#97	C₂³	1	2	yes	—
275	C₁₃×#97	C₂³	1	2	yes	—
276	C₁₃×#97	C₂³	1	2	yes	—
277	C₄×C₈×C₁₃	C₂³	1	1	yes	characteristic
278	C₄×C₈×C₁₃	C₂³	1	1	yes	characteristic
279	C₄×C₈×C₁₃	C₂³	1	2	yes	—
280	#62570	C₁₃	1	1	yes	maximal, characteristic, direct product factor, Sylow
281	C₂⁴×C₁₃	—	2	1	no	—
282	C₂⁴×C₁₃	—	2	2	no	—
283	C₁₃×#41	—	4	2	no	—
284	C₁₃×#41	—	4	2	no	—
285	C₁₃×#41	—	8	2	no	—
286	C₁₃×#41	—	8	2	no	—
287	C₁₃×#41	—	8	2	no	—
288	C₂×Q₈×C₁₃	—	2	1	no	—
289	C₂×Q₈×C₁₃	—	2	1	no	—
290	C₂×Q₈×C₁₃	—	2	1	no	—
291	C₂×Q₈×C₁₃	—	2	1	no	—
292	C₂×Q₈×C₁₃	—	2	2	no	—
293	C₂×Q₈×C₁₃	—	2	1	no	—
294	C₂×Q₈×C₁₃	—	4	2	no	—
295	C₂×Q₈×C₁₃	—	8	2	no	—
296	C₂×Q₈×C₁₃	C₂×D₄	1	1	yes	characteristic
297	C₂×Q₈×C₁₃	C₂⁴	1	2	yes	—
298	C₂×D₄×C₁₃	—	2	2	no	—
299	C₂×D₄×C₁₃	—	2	2	no	—
300	C₂×D₄×C₁₃	—	2	2	no	—
301	C₂×D₄×C₁₃	—	2	2	no	—
302	C₂×D₄×C₁₃	—	2	1	no	—
303	C₂×D₄×C₁₃	—	2	2	no	—
304	C₂×D₄×C₁₃	—	2	1	no	—
305	C₂×D₄×C₁₃	—	2	2	no	—
306	C₂×D₄×C₁₃	—	2	1	no	—
307	C₂×D₄×C₁₃	—	2	1	no	—
308	C₂×D₄×C₁₃	—	2	1	no	—
309	C₂×D₄×C₁₃	—	2	1	no	—
310	C₂×D₄×C₁₃	—	2	2	no	—
311	C₂×D₄×C₁₃	—	2	2	no	—
312	C₂×D₄×C₁₃	—	2	1	no	—
313	C₂×D₄×C₁₃	—	4	2	no	—
314	C₂×D₄×C₁₃	—	4	2	no	—
315	C₂×D₄×C₁₃	—	4	2	no	—
316	C₂×D₄×C₁₃	—	8	4	no	—
317	C₂×D₄×C₁₃	C₂×D₄	1	1	yes	characteristic
318	C₂×D₄×C₁₃	C₂×D₄	1	2	yes	—
319	C₂×D₄×C₁₃	C₂⁴	1	2	yes	—
320	C₂×D₄×C₁₃	C₂⁴	1	2	yes	—
321	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
322	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
323	C₂²×C₄×C₁₃	—	2	1	no	—
324	C₂²×C₄×C₁₃	—	2	2	no	—
325	C₂²×C₄×C₁₃	—	2	1	no	—
326	C₂²×C₄×C₁₃	—	2	1	no	—
327	C₂²×C₄×C₁₃	—	2	2	no	—
328	C₂²×C₄×C₁₃	—	2	2	no	—
329	C₂²×C₄×C₁₃	—	2	2	no	—
330	C₂²×C₄×C₁₃	—	2	2	no	—
331	C₂²×C₄×C₁₃	—	2	2	no	—
332	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
333	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
334	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
335	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
336	C₁₃×SD₁₆	—	4	2	no	—
337	C₁₃×SD₁₆	—	4	2	no	—
338	C₁₃×D₈	—	4	2	no	—
339	C₁₃×D₈	—	4	2	no	—
340	C₁₃×D₈	—	4	2	no	—
341	C₁₃×D₈	—	4	2	no	—
342	C₁₃×M₁₆	—	4	2	no	—
343	C₁₃×M₁₆	—	4	2	no	—
344	C₂×C₈×C₁₃	—	4	2	no	—
345	C₂×C₈×C₁₃	C₂⁴	1	2	yes	—
346	C₂×C₈×C₁₃	C₂⁴	1	2	yes	—
347	C₂×C₈×C₁₃	C₂⁴	1	2	yes	—
348	C₂×C₈×C₁₃	C₂⁴	1	2	yes	—
349	C₁₃×C₄⋊C₄	—	2	1	no	—
350	C₁₃×C₄⋊C₄	—	2	2	no	—
351	C₁₃×C₄⋊C₄	—	2	2	no	—
352	C₁₃×C₄⋊C₄	—	2	2	no	—
353	C₁₃×C₄⋊C₄	—	2	2	no	—
354	C₁₃×C₄⋊C₄	—	2	1	no	—
355	C₁₃×C₄⋊C₄	—	2	1	no	—
356	C₁₃×C₄⋊C₄	—	2	2	no	—
357	C₁₃×C₄⋊C₄	—	2	2	no	—
358	C₁₃×C₄⋊C₄	—	2	2	no	—
359	C₁₃×C₄⋊C₄	—	2	1	no	—
360	C₁₃×C₄⋊C₄	—	2	2	no	—
361	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
362	C₁₃×C₄⋊C₄	C₂×D₄	1	2	yes	—
363	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
364	C₁₃×C₄⋊C₄	C₂×D₄	1	2	yes	—
365	C₁₃×C₄⋊C₄	C₂×D₄	1	2	yes	—
366	C₁₃×C₄⋊C₄	C₂×D₄	1	2	yes	—
367	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
368	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
369	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
370	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
371	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
372	C₁₃×C₂²⋊C₄	—	2	2	no	—
373	C₁₃×C₂²⋊C₄	—	2	2	no	—
374	C₁₃×C₂²⋊C₄	—	2	2	no	—
375	C₁₃×C₂²⋊C₄	—	2	2	no	—
376	C₁₃×C₂²⋊C₄	—	2	2	no	—
377	C₁₃×C₂²⋊C₄	—	2	2	no	—
378	C₁₃×C₂²⋊C₄	—	2	2	no	—
379	C₁₃×C₂²⋊C₄	—	2	2	no	—
380	C₁₃×C₂²⋊C₄	—	2	1	no	—
381	C₁₃×C₂²⋊C₄	—	2	2	no	—
382	C₁₃×C₂²⋊C₄	—	2	2	no	—
383	C₁₃×C₂²⋊C₄	—	2	1	no	—
384	C₁₃×C₂²⋊C₄	—	2	2	no	—
385	C₁₃×C₂²⋊C₄	—	2	2	no	—
386	C₁₃×C₂²⋊C₄	—	2	2	no	—
387	C₁₃×C₂²⋊C₄	—	2	2	no	—
388	C₁₃×C₂²⋊C₄	—	2	2	no	—
389	C₁₃×C₂²⋊C₄	—	2	2	no	—
390	C₁₃×C₂²⋊C₄	—	2	1	no	—
391	C₁₃×C₂²⋊C₄	—	2	2	no	—
392	C₁₃×C₂²⋊C₄	—	2	1	no	—
393	C₁₃×C₂²⋊C₄	C₂×D₄	1	2	yes	—
394	C₁₃×C₂²⋊C₄	C₂×D₄	1	2	yes	—
395	C₁₃×C₂²⋊C₄	C₂×D₄	1	2	yes	—
396	C₁₃×C₂²⋊C₄	C₂×D₄	1	2	yes	—
397	C₁₃×C₂²⋊C₄	C₂×D₄	1	2	yes	—
398	C₄²×C₁₃	—	2	2	no	—
399	C₄²×C₁₃	—	2	2	no	—
400	C₄²×C₁₃	—	2	2	no	—
401	C₄²×C₁₃	C₂×D₄	1	1	yes	characteristic
402	C₄²×C₁₃	C₂×D₄	1	1	yes	characteristic
403	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
404	C₄²×C₁₃	C₂⁴	1	2	yes	—
405	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
406	#3558	C₂×C₁₃	1	1	yes	characteristic, complemented
407	#3547	C₂×C₁₃	1	1	yes	characteristic, complemented
408	#3373	C₂×C₁₃	1	2	yes	complemented
409	#3370	C₂×C₁₃	1	2	yes	complemented
410	#3326	C₂×C₁₃	1	2	yes	complemented
411	#3325	C₂×C₁₃	1	2	yes	complemented
412	#3321	C₂×C₁₃	1	2	yes	complemented
413	#3319	C₂×C₁₃	1	2	yes	complemented
414	#3318	C₂×C₁₃	1	2	yes	complemented
415	#3306	C₂×C₁₃	1	2	yes	complemented
416	#3244	C₂×C₁₃	1	2	yes	complemented
417	#3235	C₂×C₁₃	1	1	yes	characteristic, complemented
418	#3220	C₂×C₁₃	1	2	yes	complemented
419	#3213	C₂×C₁₃	1	1	yes	characteristic, complemented
420	#3184	C₂×C₁₃	1	1	yes	characteristic, complemented
421	#3179	C₂×C₁₃	1	2	yes	complemented
422	#3140	C₂×C₁₃	1	1	yes	characteristic, complemented
423	#3136	C₂×C₁₃	1	2	yes	complemented
424	#2967	C₂×C₁₃	1	1	yes	characteristic, complemented
425	C₂³×C₁₃	—	2	1	no	—
426	C₂³×C₁₃	—	2	1	no	—
427	C₂³×C₁₃	—	2	2	no	—
428	C₂³×C₁₃	—	2	2	no	—
429	C₂³×C₁₃	—	4	2	no	—
430	C₂³×C₁₃	—	8	1	no	—
431	C₂³×C₁₃	—	8	2	no	—
432	C₂³×C₁₃	—	8	2	no	—
433	C₂³×C₁₃	—	8	1	no	—
434	C₂³×C₁₃	—	8	2	no	—
435	C₂³×C₁₃	C₂²×D₄	1	2	yes	—
436	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
437	Q₈×C₁₃	—	2	2	no	—
438	Q₈×C₁₃	—	2	2	no	—
439	Q₈×C₁₃	—	4	1	no	—
440	Q₈×C₁₃	—	4	2	no	—
441	Q₈×C₁₃	—	8	1	no	—
442	Q₈×C₁₃	—	8	1	no	—
443	Q₈×C₁₃	—	8	2	no	—
444	Q₈×C₁₃	—	8	1	no	—
445	Q₈×C₁₃	—	8	1	no	—
446	D₄×C₁₃	—	2	2	no	—
447	D₄×C₁₃	—	2	2	no	—
448	D₄×C₁₃	—	2	2	no	—
449	D₄×C₁₃	—	2	2	no	—
450	D₄×C₁₃	—	2	2	no	—
451	D₄×C₁₃	—	2	2	no	—
452	D₄×C₁₃	—	4	2	no	—
453	D₄×C₁₃	—	4	1	no	—
454	D₄×C₁₃	—	4	4	no	—
455	D₄×C₁₃	—	8	1	no	—
456	D₄×C₁₃	—	8	1	no	—
457	D₄×C₁₃	—	8	2	no	—
458	D₄×C₁₃	—	8	2	no	—
459	D₄×C₁₃	—	8	1	no	—
460	D₄×C₁₃	—	8	2	no	—
461	D₄×C₁₃	—	8	1	no	—
462	D₄×C₁₃	—	8	1	no	—
463	D₄×C₁₃	—	8	2	no	—
464	D₄×C₁₃	—	8	2	no	—
465	D₄×C₁₃	—	8	2	no	—
466	D₄×C₁₃	—	8	1	no	—
467	D₄×C₁₃	—	8	1	no	—
468	D₄×C₁₃	—	8	2	no	—
469	C₂×C₄×C₁₃	—	2	2	no	—
470	C₂×C₄×C₁₃	—	2	2	no	—
471	C₂×C₄×C₁₃	—	2	2	no	—
472	C₂×C₄×C₁₃	—	2	2	no	—
473	C₂×C₄×C₁₃	—	2	1	no	—
474	C₂×C₄×C₁₃	—	2	2	no	—
475	C₂×C₄×C₁₃	—	2	2	no	—
476	C₂×C₄×C₁₃	—	2	2	no	—
477	C₂×C₄×C₁₃	—	2	1	no	—
478	C₂×C₄×C₁₃	—	4	1	no	—
479	C₂×C₄×C₁₃	—	4	1	no	—
480	C₂×C₄×C₁₃	—	4	2	no	—
481	C₂×C₄×C₁₃	—	4	2	no	—
482	C₂×C₄×C₁₃	—	8	2	no	—
483	C₂×C₄×C₁₃	—	8	2	no	—
484	C₂×C₄×C₁₃	—	8	2	no	—
485	C₂×C₄×C₁₃	—	8	2	no	—
486	C₂×C₄×C₁₃	—	8	2	no	—
487	C₂×C₄×C₁₃	—	8	1	no	—
488	C₂×C₄×C₁₃	—	8	2	no	—
489	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
490	C₂×C₄×C₁₃	C₂²×D₄	1	2	yes	—
491	C₂×C₄×C₁₃	C₂²×D₄	1	2	yes	—
492	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
493	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
494	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
495	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
496	C₂×C₄×C₁₃	C₂²×D₄	1	2	yes	—
497	C₂×C₄×C₁₃	C₂⁵	1	1	yes	characteristic
498	C₈×C₁₃	—	2	2	no	—
499	C₈×C₁₃	—	2	2	no	—
500	C₈×C₁₃	—	2	2	no	—
501	C₈×C₁₃	—	2	2	no	—
502	#562	—	2	1	no	—
503	#562	—	2	2	no	—
504	H(3,𝔽₄)	—	2	1	no	—
505	#559	C₂²×C₁₃	1	2	yes	—
506	#555	C₂²×C₁₃	1	1	yes	characteristic, complemented
507	#555	C₂²×C₁₃	1	2	yes	complemented
508	#554	C₂²×C₁₃	1	1	yes	characteristic, complemented
509	#553	C₂²×C₁₃	1	2	yes	complemented
510	#552	—	2	1	no	—
511	D₄×Q₈	C₂²×C₁₃	1	1	yes	characteristic, complemented
512	#548	—	2	1	no	—
513	#548	C₂²×C₁₃	1	2	yes	—
514	#547	C₂²×C₁₃	1	1	yes	characteristic, complemented
515	#546	—	2	2	no	—
516	#546	C₂²×C₁₃	1	2	yes	—
517	D₄²	C₂²×C₁₃	1	2	yes	—
518	#544	C₂²×C₁₃	1	2	yes	complemented
519	#542	—	2	2	no	—
520	#542	C₂²×C₁₃	1	2	yes	—
521	#540	C₂²×C₁₃	1	2	yes	complemented
522	#538	—	2	2	no	—
523	#538	—	2	1	no	—
524	#537	—	2	1	no	—
525	#536	—	2	1	no	—
526	#535	C₂²×C₁₃	1	2	yes	—
527	#534	—	2	1	no	—
528	#533	C₂²×C₁₃	1	1	yes	characteristic, complemented
529	#532	C₂²×C₁₃	1	1	yes	characteristic
530	#532	C₂²×C₁₃	1	1	yes	characteristic, complemented
531	#529	C₂²×C₁₃	1	1	yes	characteristic
532	C₂×#124	C₂²×C₁₃	1	1	yes	characteristic
533	#501	C₂²×C₁₃	1	2	yes	complemented
534	#498	C₂²×C₁₃	1	1	yes	characteristic, complemented
535	#496	C₂²×C₁₃	1	2	yes	complemented
536	#493	C₂²×C₁₃	1	1	yes	characteristic, complemented
537	#490	C₂²×C₁₃	1	2	yes	—
538	#490	C₂²×C₁₃	1	2	yes	complemented
539	#489	C₂²×C₁₃	1	2	yes	complemented
540	#489	C₂²×C₁₃	1	2	yes	complemented
541	#489	C₂²×C₁₃	1	2	yes	complemented
542	#489	C₂²×C₁₃	1	2	yes	complemented
543	#488	C₂²×C₁₃	1	2	yes	complemented
544	#488	C₂²×C₁₃	1	2	yes	complemented
545	#488	C₂²×C₁₃	1	2	yes	complemented
546	#486	C₂²×C₁₃	1	2	yes	—
547	#486	C₂²×C₁₃	1	1	yes	characteristic, complemented
548	#486	C₂²×C₁₃	1	1	yes	characteristic, complemented
549	#485	C₂²×C₁₃	1	2	yes	complemented
550	#483	C₂²×C₁₃	1	2	yes	complemented
551	#482	C₂²×C₁₃	1	2	yes	—
552	#482	C₂²×C₁₃	1	2	yes	complemented
553	#482	C₂²×C₁₃	1	2	yes	complemented
554	#481	C₂²×C₁₃	1	2	yes	—
555	#479	C₂²×C₁₃	1	2	yes	complemented
556	#478	C₂²×C₁₃	1	2	yes	complemented
557	#476	C₂²×C₁₃	1	2	yes	complemented
558	#476	C₂²×C₁₃	1	2	yes	complemented
559	#475	C₂²×C₁₃	1	2	yes	complemented
560	#474	C₂²×C₁₃	1	2	yes	complemented
561	#469	C₂²×C₁₃	1	2	yes	—
562	#469	C₂²×C₁₃	1	2	yes	complemented
563	#469	C₂²×C₁₃	1	2	yes	complemented
564	#468	C₂²×C₁₃	1	2	yes	complemented
565	#466	C₂²×C₁₃	1	2	yes	—
566	#465	C₂²×C₁₃	1	2	yes	complemented
567	#463	C₂²×C₁₃	1	2	yes	complemented
568	#463	C₂²×C₁₃	1	2	yes	complemented
569	#463	C₂²×C₁₃	1	2	yes	complemented
570	#463	C₂²×C₁₃	1	2	yes	complemented
571	#459	C₂²×C₁₃	1	2	yes	—
572	#459	C₂²×C₁₃	1	2	yes	—
573	#449	C₂²×C₁₃	1	2	yes	complemented
574	#449	C₂²×C₁₃	1	2	yes	complemented
575	#448	C₂²×C₁₃	1	1	yes	characteristic, complemented
576	#448	C₂²×C₁₃	1	1	yes	characteristic, complemented
577	#447	C₂²×C₁₃	1	1	yes	characteristic
578	#447	C₂²×C₁₃	1	1	yes	characteristic
579	#447	C₂²×C₁₃	1	2	yes	complemented
580	#447	C₂²×C₁₃	1	2	yes	complemented
581	#446	C₂²×C₁₃	1	2	yes	complemented
582	#442	C₂²×C₁₃	1	2	yes	complemented
583	#442	C₂²×C₁₃	1	2	yes	complemented
584	#442	C₂²×C₁₃	1	2	yes	complemented
585	#440	C₂²×C₁₃	1	2	yes	complemented
586	C₄×SD₁₆	C₂²×C₁₃	1	2	yes	complemented
587	C₄×D₈	C₂²×C₁₃	1	2	yes	complemented
588	#436	C₂²×C₁₃	1	2	yes	complemented
589	#435	C₂²×C₁₃	1	2	yes	complemented
590	#435	C₂²×C₁₃	1	2	yes	complemented
591	#433	C₂²×C₁₃	1	2	yes	complemented
592	#432	C₂²×C₁₃	1	1	yes	characteristic, complemented
593	#419	C₂²×C₁₃	1	2	yes	complemented
594	#418	C₂²×C₁₃	1	2	yes	—
595	#418	C₂²×C₁₃	1	2	yes	complemented
596	#417	C₂²×C₁₃	1	2	yes	complemented
597	#416	C₂²×C₁₃	1	2	yes	complemented
598	C₂×#102	C₂²×C₁₃	1	2	yes	complemented
599	#405	C₂²×C₁₃	1	2	yes	complemented
600	C₄×M₁₆	C₂²×C₁₃	1	1	yes	characteristic, complemented
601	C₂²×C₁₃	—	2	1	no	—
602	C₂²×C₁₃	—	2	1	no	—
603	C₂²×C₁₃	—	2	2	no	—
604	C₂²×C₁₃	—	2	2	no	—
605	C₂²×C₁₃	—	2	1	no	—
606	C₂²×C₁₃	—	2	2	no	—
607	C₂²×C₁₃	—	4	1	no	—
608	C₂²×C₁₃	—	4	1	no	—
609	C₂²×C₁₃	—	4	1	no	—
610	C₂²×C₁₃	—	4	2	no	—
611	C₂²×C₁₃	—	4	2	no	—
612	C₂²×C₁₃	—	4	1	no	—
613	C₂²×C₁₃	—	4	2	no	—
614	C₂²×C₁₃	—	4	2	no	—
615	C₂²×C₁₃	—	4	2	no	—
616	C₂²×C₁₃	—	4	2	no	—
617	C₂²×C₁₃	—	4	1	no	—
618	C₂²×C₁₃	—	4	1	no	—
619	C₂²×C₁₃	—	16	2	no	—
620	C₂²×C₁₃	—	16	4	no	—
621	C₂²×C₁₃	C₂³×D₄	1	1	yes	characteristic
622	C₄×C₁₃	—	2	1	no	—
623	C₄×C₁₃	—	2	1	no	—
624	C₄×C₁₃	—	2	1	no	—
625	C₄×C₁₃	—	2	1	no	—
626	C₄×C₁₃	—	2	2	no	—
627	C₄×C₁₃	—	2	2	no	—
628	C₄×C₁₃	—	2	2	no	—
629	C₄×C₁₃	—	2	1	no	—
630	C₄×C₁₃	—	4	1	no	—
631	C₄×C₁₃	—	4	1	no	—
632	C₄×C₁₃	—	4	2	no	—
633	C₄×C₁₃	—	4	2	no	—
634	C₄×C₁₃	—	4	2	no	—
635	C₄×C₁₃	—	4	2	no	—
636	C₄×C₁₃	#585	1	2	yes	—
637	C₂×#41	—	2	1	no	—
638	C₂×#41	—	2	1	no	—
639	C₂×#41	—	2	1	no	—
640	C₂×#41	C₂³×C₁₃	1	2	yes	—
641	C₂²×Q₈	—	2	1	no	—
642	C₂²×Q₈	C₂³×C₁₃	1	1	yes	characteristic
643	C₂²×D₄	—	2	2	no	—
644	C₂²×D₄	C₂³×C₁₃	1	1	yes	characteristic
645	C₂²×D₄	C₂³×C₁₃	1	2	yes	—
646	C₂×SD₁₆	C₂³×C₁₃	1	2	yes	—
647	C₂×SD₁₆	C₂³×C₁₃	1	2	yes	—
648	C₂×D₈	C₂³×C₁₃	1	2	yes	—
649	C₂×D₈	C₂³×C₁₃	1	2	yes	—
650	C₂×D₈	C₂³×C₁₃	1	2	yes	—
651	C₂×D₈	C₂³×C₁₃	1	2	yes	—
652	C₂×M₁₆	C₂³×C₁₃	1	2	yes	—
653	C₂×M₁₆	C₂³×C₁₃	1	2	yes	—
654	C₂²×C₈	C₂³×C₁₃	1	2	yes	—
655	C₄⋊Q₈	—	2	2	no	—
656	C₄⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
657	C₄⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
658	C₄⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
659	C₄⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
660	C₄⋊Q₈	C₂³×C₁₃	1	2	yes	—
661	#127	C₂³×C₁₃	1	1	yes	characteristic
662	#127	C₂³×C₁₃	1	1	yes	characteristic
663	#127	C₂³×C₁₃	1	2	yes	—
664	#126	—	2	2	no	—
665	#126	—	2	2	no	—
666	#126	D₄×C₁₃	1	2	yes	—
667	#125	—	2	2	no	—
668	#125	D₄×C₁₃	1	1	yes	characteristic
669	#125	C₂³×C₁₃	1	2	yes	—
670	#125	C₂³×C₁₃	1	2	yes	—
671	#124	—	2	2	no	—
672	#124	—	2	2	no	—
673	#124	—	2	2	no	—
674	#124	—	2	2	no	—
675	#124	—	2	2	no	—
676	#124	—	2	2	no	—
677	#124	—	2	1	no	—
678	#124	—	2	1	no	—
679	#124	—	2	1	no	—
680	#124	—	2	1	no	—
681	#124	D₄×C₁₃	1	1	yes	characteristic
682	#124	C₂³×C₁₃	1	2	yes	—
683	#124	C₂³×C₁₃	1	2	yes	—
684	#124	C₂³×C₁₃	1	2	yes	—
685	#123	—	2	2	no	—
686	#123	—	2	2	no	—
687	#123	—	2	2	no	—
688	#123	—	2	2	no	—
689	#123	—	2	2	no	—
690	#123	—	2	2	no	—
691	#123	—	2	2	no	—
692	#123	—	2	2	no	—
693	#123	D₄×C₁₃	1	2	yes	—
694	C₂²⋊Q₈	—	2	1	no	—
695	C₂²⋊Q₈	—	2	1	no	—
696	C₂²⋊Q₈	—	2	1	no	—
697	C₂²⋊Q₈	—	2	1	no	—
698	C₂²⋊Q₈	—	2	1	no	—
699	C₂²⋊Q₈	—	2	2	no	—
700	C₂²⋊Q₈	—	2	2	no	—
701	C₂²⋊Q₈	—	2	2	no	—
702	C₂²⋊Q₈	—	2	2	no	—
703	C₂²⋊Q₈	—	2	2	no	—
704	C₂²⋊Q₈	—	2	2	no	—
705	C₂²⋊Q₈	D₄×C₁₃	1	1	yes	characteristic
706	C₂²⋊Q₈	C₂³×C₁₃	1	2	yes	—
707	#121	—	2	2	no	—
708	#121	—	2	1	no	—
709	#121	—	2	2	no	—
710	#121	—	2	2	no	—
711	#121	—	2	1	no	—
712	#121	—	2	1	no	—
713	#121	—	2	2	no	—
714	#121	—	2	2	no	—
715	#121	—	2	2	no	—
716	#121	—	2	2	no	—
717	#121	—	2	2	no	—
718	#121	—	2	2	no	—
719	#121	D₄×C₁₃	1	1	yes	characteristic
720	#121	C₂³×C₁₃	1	2	yes	—
721	#121	C₂³×C₁₃	1	1	yes	characteristic
722	#121	C₂³×C₁₃	1	1	yes	characteristic
723	#121	C₂³×C₁₃	1	2	yes	—
724	#121	C₂³×C₁₃	1	2	yes	—
725	#121	C₂³×C₁₃	1	2	yes	—
726	#120	—	2	2	no	—
727	#120	—	2	2	no	—
728	#120	—	2	2	no	—
729	#120	—	2	2	no	—
730	#120	—	2	2	no	—
731	C₄×Q₈	—	2	1	no	—
732	C₄×Q₈	—	2	1	no	—
733	C₄×Q₈	C₂³×C₁₃	1	2	yes	—
734	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
735	C₄×D₄	—	2	2	no	—
736	C₄×D₄	—	2	2	no	—
737	C₄×D₄	—	2	2	no	—
738	C₄×D₄	—	2	1	no	—
739	C₄×D₄	—	2	1	no	—
740	C₄×D₄	C₂³×C₁₃	1	2	yes	—
741	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
742	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
743	C₄×D₄	C₂³×C₁₃	1	2	yes	—
744	C₄×D₄	C₂³×C₁₃	1	2	yes	—
745	C₄×D₄	C₂³×C₁₃	1	2	yes	—
746	C₄×D₄	C₂³×C₁₃	1	2	yes	—
747	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
748	#117	—	2	1	no	—
749	#117	—	2	2	no	—
750	#117	C₂³×C₁₃	1	2	yes	—
751	#117	C₂³×C₁₃	1	2	yes	—
752	#117	C₂³×C₁₃	1	2	yes	—
753	C₂×C₄⋊C₄	—	2	1	no	—
754	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
755	C₂×C₂²⋊C₄	—	2	1	no	—
756	C₂×C₂²⋊C₄	—	2	1	no	—
757	C₂×C₂²⋊C₄	—	2	2	no	—
758	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
759	#107	C₂³×C₁₃	1	2	yes	—
760	#107	C₂³×C₁₃	1	2	yes	—
761	#106	C₂³×C₁₃	1	2	yes	—
762	#106	C₂³×C₁₃	1	2	yes	—
763	#106	C₂³×C₁₃	1	2	yes	—
764	#106	C₂³×C₁₃	1	2	yes	—
765	C₄⋊C₈	C₂³×C₁₃	1	2	yes	—
766	C₄⋊C₈	C₂³×C₁₃	1	2	yes	—
767	C₄⋊C₈	C₂³×C₁₃	1	2	yes	—
768	#103	C₂³×C₁₃	1	2	yes	—
769	#103	C₂³×C₁₃	1	2	yes	—
770	#103	C₂³×C₁₃	1	2	yes	—
771	#103	C₂³×C₁₃	1	2	yes	—
772	#103	C₂³×C₁₃	1	2	yes	—
773	#103	C₂³×C₁₃	1	2	yes	—
774	#102	C₂³×C₁₃	1	2	yes	—
775	#102	C₂³×C₁₃	1	2	yes	—
776	#102	C₂³×C₁₃	1	2	yes	—
777	#102	C₂³×C₁₃	1	2	yes	—
778	#102	C₂³×C₁₃	1	2	yes	—
779	#102	C₂³×C₁₃	1	2	yes	—
780	#102	C₂³×C₁₃	1	2	yes	—
781	#102	C₂³×C₁₃	1	2	yes	—
782	#102	C₂³×C₁₃	1	2	yes	—
783	#102	C₂³×C₁₃	1	2	yes	—
784	#102	C₂³×C₁₃	1	2	yes	—
785	#102	C₂³×C₁₃	1	2	yes	—
786	#102	C₂³×C₁₃	1	2	yes	—
787	#102	C₂³×C₁₃	1	2	yes	—
788	C₂²⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
789	C₂²⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
790	C₂²⋊C₈	C₂³×C₁₃	1	2	yes	—
791	C₂²⋊C₈	C₂³×C₁₃	1	2	yes	—
792	#97	C₂³×C₁₃	1	2	yes	—
793	#97	C₂³×C₁₃	1	2	yes	—
794	#97	C₂³×C₁₃	1	2	yes	—
795	C₄×C₈	C₂³×C₁₃	1	1	yes	characteristic
796	C₄×C₈	C₂³×C₁₃	1	1	yes	characteristic
797	C₄×C₈	C₂³×C₁₃	1	2	yes	—
798	C₂×C₁₃	—	4	1	no	—
799	C₂×C₁₃	—	4	2	no	—
800	C₂×C₁₃	—	8	1	no	—
801	C₂×C₁₃	—	8	1	no	—
802	C₂×C₁₃	—	8	2	no	—
803	C₂×C₁₃	—	8	2	no	—
804	C₂×C₁₃	#3500	1	1	yes	characteristic
805	C₂×C₁₃	#3585	1	1	yes	characteristic
806	C₂×C₁₃	#3585	1	1	yes	characteristic
807	C₂⁴	—	2	1	no	—
808	C₂⁴	—	2	2	no	—
809	#41	—	4	2	no	—
810	#41	—	4	2	no	—
811	#41	—	8	2	no	—
812	#41	—	8	2	no	—
813	#41	—	8	2	no	—
814	C₂×Q₈	—	2	1	no	—
815	C₂×Q₈	—	2	1	no	—
816	C₂×Q₈	—	2	1	no	—
817	C₂×Q₈	—	2	1	no	—
818	C₂×Q₈	—	2	2	no	—
819	C₂×Q₈	—	2	1	no	—
820	C₂×Q₈	—	4	2	no	—
821	C₂×Q₈	—	8	2	no	—
822	C₂×Q₈	C₂×D₄×C₁₃	1	1	yes	characteristic
823	C₂×Q₈	C₂⁴×C₁₃	1	2	yes	—
824	C₂×D₄	—	2	2	no	—
825	C₂×D₄	—	2	2	no	—
826	C₂×D₄	—	2	2	no	—
827	C₂×D₄	—	2	2	no	—
828	C₂×D₄	—	2	1	no	—
829	C₂×D₄	—	2	2	no	—
830	C₂×D₄	—	2	1	no	—
831	C₂×D₄	—	2	2	no	—
832	C₂×D₄	—	2	1	no	—
833	C₂×D₄	—	2	1	no	—
834	C₂×D₄	—	2	1	no	—
835	C₂×D₄	—	2	1	no	—
836	C₂×D₄	—	2	2	no	—
837	C₂×D₄	—	2	2	no	—
838	C₂×D₄	—	2	1	no	—
839	C₂×D₄	—	4	2	no	—
840	C₂×D₄	—	4	2	no	—
841	C₂×D₄	—	4	2	no	—
842	C₂×D₄	—	8	4	no	—
843	C₂×D₄	C₂×D₄×C₁₃	1	1	yes	characteristic
844	C₂×D₄	C₂×D₄×C₁₃	1	2	yes	—
845	C₂×D₄	C₂⁴×C₁₃	1	2	yes	—
846	C₂×D₄	C₂⁴×C₁₃	1	2	yes	—
847	C₂×D₄	C₂⁴×C₁₃	1	1	yes	characteristic
848	C₂×D₄	C₂⁴×C₁₃	1	1	yes	characteristic
849	C₂²×C₄	—	2	1	no	—
850	C₂²×C₄	—	2	2	no	—
851	C₂²×C₄	—	2	1	no	—
852	C₂²×C₄	—	2	1	no	—
853	C₂²×C₄	—	2	2	no	—
854	C₂²×C₄	—	2	2	no	—
855	C₂²×C₄	—	2	2	no	—
856	C₂²×C₄	—	2	2	no	—
857	C₂²×C₄	—	2	2	no	—
858	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
859	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
860	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
861	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
862	SD₁₆	—	4	2	no	—
863	SD₁₆	—	4	2	no	—
864	D₈	—	4	2	no	—
865	D₈	—	4	2	no	—
866	D₈	—	4	2	no	—
867	D₈	—	4	2	no	—
868	M₁₆	—	4	2	no	—
869	M₁₆	—	4	2	no	—
870	C₂×C₈	—	4	2	no	—
871	C₂×C₈	C₂⁴×C₁₃	1	2	yes	—
872	C₂×C₈	C₂⁴×C₁₃	1	2	yes	—
873	C₂×C₈	C₂⁴×C₁₃	1	2	yes	—
874	C₂×C₈	C₂⁴×C₁₃	1	2	yes	—
875	C₄⋊C₄	—	2	1	no	—
876	C₄⋊C₄	—	2	2	no	—
877	C₄⋊C₄	—	2	2	no	—
878	C₄⋊C₄	—	2	2	no	—
879	C₄⋊C₄	—	2	2	no	—
880	C₄⋊C₄	—	2	1	no	—
881	C₄⋊C₄	—	2	1	no	—
882	C₄⋊C₄	—	2	2	no	—
883	C₄⋊C₄	—	2	2	no	—
884	C₄⋊C₄	—	2	2	no	—
885	C₄⋊C₄	—	2	1	no	—
886	C₄⋊C₄	—	2	2	no	—
887	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
888	C₄⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
889	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
890	C₄⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
891	C₄⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
892	C₄⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
893	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
894	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
895	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
896	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
897	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
898	C₂²⋊C₄	—	2	2	no	—
899	C₂²⋊C₄	—	2	2	no	—
900	C₂²⋊C₄	—	2	2	no	—
901	C₂²⋊C₄	—	2	2	no	—
902	C₂²⋊C₄	—	2	2	no	—
903	C₂²⋊C₄	—	2	2	no	—
904	C₂²⋊C₄	—	2	2	no	—
905	C₂²⋊C₄	—	2	2	no	—
906	C₂²⋊C₄	—	2	1	no	—
907	C₂²⋊C₄	—	2	2	no	—
908	C₂²⋊C₄	—	2	2	no	—
909	C₂²⋊C₄	—	2	1	no	—
910	C₂²⋊C₄	—	2	2	no	—
911	C₂²⋊C₄	—	2	2	no	—
912	C₂²⋊C₄	—	2	2	no	—
913	C₂²⋊C₄	—	2	2	no	—
914	C₂²⋊C₄	—	2	2	no	—
915	C₂²⋊C₄	—	2	2	no	—
916	C₂²⋊C₄	—	2	1	no	—
917	C₂²⋊C₄	—	2	2	no	—
918	C₂²⋊C₄	—	2	1	no	—
919	C₂²⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
920	C₂²⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
921	C₂²⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
922	C₂²⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
923	C₂²⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
924	C₄²	—	2	2	no	—
925	C₄²	—	2	2	no	—
926	C₄²	—	2	2	no	—
927	C₄²	C₂×D₄×C₁₃	1	1	yes	characteristic
928	C₄²	C₂×D₄×C₁₃	1	1	yes	characteristic
929	C₄²	C₂⁴×C₁₃	1	1	yes	characteristic
930	C₄²	C₂⁴×C₁₃	1	2	yes	—
931	C₄²	C₂⁴×C₁₃	1	1	yes	characteristic
932	C₁₃	#62570	1	1	yes	characteristic, direct product factor, Sylow
933	C₂³	—	2	1	no	—
934	C₂³	—	2	1	no	—
935	C₂³	—	2	2	no	—
936	C₂³	—	2	2	no	—
937	C₂³	—	4	2	no	—
938	C₂³	—	8	1	no	—
939	C₂³	—	8	2	no	—
940	C₂³	—	8	2	no	—
941	C₂³	—	8	1	no	—
942	C₂³	—	8	2	no	—
943	C₂³	C₂²×D₄×C₁₃	1	2	yes	—
944	C₂³	C₂²×D₄×C₁₃	1	1	yes	characteristic
945	Q₈	—	2	2	no	—
946	Q₈	—	2	2	no	—
947	Q₈	—	4	1	no	—
948	Q₈	—	4	2	no	—
949	Q₈	—	8	1	no	—
950	Q₈	—	8	2	no	—
951	Q₈	—	8	1	no	—
952	Q₈	—	8	1	no	—
953	Q₈	—	8	1	no	—
954	D₄	—	2	2	no	—
955	D₄	—	2	2	no	—
956	D₄	—	2	2	no	—
957	D₄	—	2	2	no	—
958	D₄	—	2	2	no	—
959	D₄	—	2	2	no	—
960	D₄	—	4	2	no	—
961	D₄	—	4	1	no	—
962	D₄	—	4	4	no	—
963	D₄	—	8	2	no	—
964	D₄	—	8	1	no	—
965	D₄	—	8	2	no	—
966	D₄	—	8	1	no	—
967	D₄	—	8	1	no	—
968	D₄	—	8	2	no	—
969	D₄	—	8	1	no	—
970	D₄	—	8	1	no	—
971	D₄	—	8	2	no	—
972	D₄	—	8	2	no	—
973	D₄	—	8	2	no	—
974	D₄	—	8	1	no	—
975	D₄	—	8	1	no	—
976	D₄	—	8	2	no	—
977	C₂×C₄	—	2	2	no	—
978	C₂×C₄	—	2	2	no	—
979	C₂×C₄	—	2	2	no	—
980	C₂×C₄	—	2	2	no	—
981	C₂×C₄	—	2	1	no	—
982	C₂×C₄	—	2	2	no	—
983	C₂×C₄	—	2	2	no	—
984	C₂×C₄	—	2	2	no	—
985	C₂×C₄	—	2	1	no	—
986	C₂×C₄	—	4	1	no	—
987	C₂×C₄	—	4	1	no	—
988	C₂×C₄	—	4	2	no	—
989	C₂×C₄	—	4	2	no	—
990	C₂×C₄	—	8	2	no	—
991	C₂×C₄	—	8	2	no	—
992	C₂×C₄	—	8	2	no	—
993	C₂×C₄	—	8	2	no	—
994	C₂×C₄	—	8	2	no	—
995	C₂×C₄	—	8	1	no	—
996	C₂×C₄	—	8	2	no	—
997	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
998	C₂×C₄	C₂²×D₄×C₁₃	1	2	yes	—
999	C₂×C₄	C₂²×D₄×C₁₃	1	2	yes	—
1000	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1001	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1002	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1003	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1004	C₂×C₄	C₂²×D₄×C₁₃	1	2	yes	—
1005	C₂×C₄	C₂⁵×C₁₃	1	1	yes	characteristic
1006	C₈	—	2	2	no	—
1007	C₈	—	2	2	no	—
1008	C₈	—	2	2	no	—
1009	C₈	—	2	2	no	—
1010	C₂²	—	2	1	no	—
1011	C₂²	—	2	1	no	—
1012	C₂²	—	2	2	no	—
1013	C₂²	—	2	2	no	—
1014	C₂²	—	2	1	no	—
1015	C₂²	—	2	2	no	—
1016	C₂²	—	4	1	no	—
1017	C₂²	—	4	1	no	—
1018	C₂²	—	4	1	no	—
1019	C₂²	—	4	2	no	—
1020	C₂²	—	4	2	no	—
1021	C₂²	—	4	1	no	—
1022	C₂²	—	4	2	no	—
1023	C₂²	—	4	2	no	—
1024	C₂²	—	4	2	no	—
1025	C₂²	—	4	2	no	—
1026	C₂²	—	4	1	no	—
1027	C₂²	—	4	1	no	—
1028	C₂²	—	16	2	no	—
1029	C₂²	—	16	4	no	—
1030	C₂²	C₂³×D₄×C₁₃	1	1	yes	characteristic
1031	C₄	—	2	1	no	—
1032	C₄	—	2	1	no	—
1033	C₄	—	2	1	no	—
1034	C₄	—	2	1	no	—
1035	C₄	—	2	2	no	—
1036	C₄	—	2	2	no	—
1037	C₄	—	2	2	no	—
1038	C₄	—	2	1	no	—
1039	C₄	—	4	1	no	—
1040	C₄	—	4	1	no	—
1041	C₄	—	4	2	no	—
1042	C₄	—	4	2	no	—
1043	C₄	—	4	2	no	—
1044	C₄	—	4	2	no	—
1045	C₄	C₁₃×#585	1	2	yes	—
1046	C₂	—	4	1	no	—
1047	C₂	—	4	2	no	—
1048	C₂	—	8	2	no	—
1049	C₂	—	8	2	no	—
1050	C₂	—	8	1	no	—
1051	C₂	—	8	1	no	—
1052	C₂	C₁₃×#3500	1	1	yes	characteristic
1053	C₂	C₁₃×#3585	1	1	yes	characteristic
1054	C₂	C₁₃×#3585	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂²×C₁₃	C₂³×D₄
commutator, Frattini, cosocle	C₂×C₄	C₂⁵×C₁₃
LCS	G ▷ C₂×C₄ ▷ C₂ ▷ C₁
UCS	C₁ ◁ C₂²×C₁₃ ◁ C₁₃×#529 ◁ G

Complements

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

N	H ≅ G/N	type
1. C₁₃×#3558	C₂	semidirect
2. C₁₃×#3547	C₂	semidirect
3. C₁₃×#3373	C₂	semidirect
4. C₁₃×#3370	C₂	semidirect
5. C₁₃×#3326	C₂	semidirect
6. C₁₃×#3325	C₂	semidirect
7. C₁₃×#3321	C₂	semidirect
8. C₁₃×#3319	C₂	semidirect
9. C₁₃×#3318	C₂	semidirect
10. C₁₃×#3306	C₂	semidirect
11. C₁₃×#3244	C₂	semidirect
12. C₁₃×#3235	C₂	semidirect
13. C₁₃×#3220	C₂	semidirect
14. C₁₃×#3213	C₂	semidirect
15. C₁₃×#3184	C₂	semidirect
16. C₁₃×#3179	C₂	semidirect
17. C₁₃×#3140	C₂	semidirect
18. C₁₃×#3136	C₂	semidirect
19. C₁₃×#2967	C₂	semidirect
24. C₁₃×#555	C₂²	semidirect
25. C₁₃×#555	C₂²	semidirect
26. C₁₃×#554	C₂²	semidirect
27. C₁₃×#553	C₂²	semidirect
29. D₄×Q₈×C₁₃	C₂²	semidirect
32. C₁₃×#547	C₂²	semidirect
36. C₁₃×#544	C₂²	semidirect
39. C₁₃×#540	C₂²	semidirect
46. C₁₃×#533	C₂²	semidirect
48. C₁₃×#532	C₂²	semidirect
51. C₁₃×#501	C₂²	semidirect
52. C₁₃×#498	C₂²	semidirect
53. C₁₃×#496	C₂²	semidirect
54. C₁₃×#493	C₂²	semidirect
56. C₁₃×#490	C₂²	semidirect
57. C₁₃×#489	C₂²	semidirect
58. C₁₃×#489	C₂²	semidirect
59. C₁₃×#489	C₂²	semidirect
60. C₁₃×#489	C₂²	semidirect
61. C₁₃×#488	C₂²	semidirect
62. C₁₃×#488	C₂²	semidirect
63. C₁₃×#488	C₂²	semidirect
65. C₁₃×#486	C₂²	semidirect
66. C₁₃×#486	C₂²	semidirect
67. C₁₃×#485	C₂²	semidirect
68. C₁₃×#483	C₂²	semidirect
70. C₁₃×#482	C₂²	semidirect
71. C₁₃×#482	C₂²	semidirect
73. C₁₃×#479	C₂²	semidirect
74. C₁₃×#478	C₂²	semidirect
75. C₁₃×#476	C₂²	semidirect
76. C₁₃×#476	C₂²	semidirect
77. C₁₃×#475	C₂²	semidirect
78. C₁₃×#474	C₂²	semidirect
80. C₁₃×#469	C₂²	semidirect
81. C₁₃×#469	C₂²	semidirect
82. C₁₃×#468	C₂²	semidirect
84. C₁₃×#465	C₂²	semidirect
85. C₁₃×#463	C₂²	semidirect
86. C₁₃×#463	C₂²	semidirect
87. C₁₃×#463	C₂²	semidirect
88. C₁₃×#463	C₂²	semidirect
91. C₁₃×#449	C₂²	semidirect
92. C₁₃×#449	C₂²	semidirect
93. C₁₃×#448	C₂²	semidirect
94. C₁₃×#448	C₂²	semidirect
97. C₁₃×#447	C₂²	semidirect
98. C₁₃×#447	C₂²	semidirect
99. C₁₃×#446	C₂²	semidirect
100. C₁₃×#442	C₂²	semidirect
101. C₁₃×#442	C₂²	semidirect
102. C₁₃×#442	C₂²	semidirect
103. C₁₃×#440	C₂²	semidirect
104. C₄×C₁₃×SD₁₆	C₂²	semidirect
105. C₄×C₁₃×D₈	C₂²	semidirect
106. C₁₃×#436	C₂²	semidirect
107. C₁₃×#435	C₂²	semidirect
108. C₁₃×#435	C₂²	semidirect
109. C₁₃×#433	C₂²	semidirect
110. C₁₃×#432	C₂²	semidirect
111. C₁₃×#419	C₂²	semidirect
113. C₁₃×#418	C₂²	semidirect
114. C₁₃×#417	C₂²	semidirect
115. C₁₃×#416	C₂²	semidirect
116. C₂×C₁₃×#102	C₂²	semidirect
117. C₁₃×#405	C₂²	semidirect
118. C₄×C₁₃×M₁₆	C₂²	semidirect
280. #62570	C₁₃	direct (N × H)
406. #3558	C₂×C₁₃	semidirect
407. #3547	C₂×C₁₃	semidirect
408. #3373	C₂×C₁₃	semidirect
409. #3370	C₂×C₁₃	semidirect
410. #3326	C₂×C₁₃	semidirect
411. #3325	C₂×C₁₃	semidirect
412. #3321	C₂×C₁₃	semidirect
413. #3319	C₂×C₁₃	semidirect
414. #3318	C₂×C₁₃	semidirect
415. #3306	C₂×C₁₃	semidirect
416. #3244	C₂×C₁₃	semidirect
417. #3235	C₂×C₁₃	semidirect
418. #3220	C₂×C₁₃	semidirect
419. #3213	C₂×C₁₃	semidirect
420. #3184	C₂×C₁₃	semidirect
421. #3179	C₂×C₁₃	semidirect
422. #3140	C₂×C₁₃	semidirect
423. #3136	C₂×C₁₃	semidirect
424. #2967	C₂×C₁₃	semidirect
506. #555	C₂²×C₁₃	semidirect
507. #555	C₂²×C₁₃	semidirect
508. #554	C₂²×C₁₃	semidirect
509. #553	C₂²×C₁₃	semidirect
511. D₄×Q₈	C₂²×C₁₃	semidirect
514. #547	C₂²×C₁₃	semidirect
518. #544	C₂²×C₁₃	semidirect
521. #540	C₂²×C₁₃	semidirect
528. #533	C₂²×C₁₃	semidirect
530. #532	C₂²×C₁₃	semidirect
533. #501	C₂²×C₁₃	semidirect
534. #498	C₂²×C₁₃	semidirect
535. #496	C₂²×C₁₃	semidirect
536. #493	C₂²×C₁₃	semidirect
538. #490	C₂²×C₁₃	semidirect
539. #489	C₂²×C₁₃	semidirect
540. #489	C₂²×C₁₃	semidirect
541. #489	C₂²×C₁₃	semidirect
542. #489	C₂²×C₁₃	semidirect
543. #488	C₂²×C₁₃	semidirect
544. #488	C₂²×C₁₃	semidirect
545. #488	C₂²×C₁₃	semidirect
547. #486	C₂²×C₁₃	semidirect
548. #486	C₂²×C₁₃	semidirect
549. #485	C₂²×C₁₃	semidirect
550. #483	C₂²×C₁₃	semidirect
552. #482	C₂²×C₁₃	semidirect
553. #482	C₂²×C₁₃	semidirect
555. #479	C₂²×C₁₃	semidirect
556. #478	C₂²×C₁₃	semidirect
557. #476	C₂²×C₁₃	semidirect
558. #476	C₂²×C₁₃	semidirect
559. #475	C₂²×C₁₃	semidirect
560. #474	C₂²×C₁₃	semidirect
562. #469	C₂²×C₁₃	semidirect
563. #469	C₂²×C₁₃	semidirect
564. #468	C₂²×C₁₃	semidirect
566. #465	C₂²×C₁₃	semidirect
567. #463	C₂²×C₁₃	semidirect
568. #463	C₂²×C₁₃	semidirect
569. #463	C₂²×C₁₃	semidirect
570. #463	C₂²×C₁₃	semidirect
573. #449	C₂²×C₁₃	semidirect
574. #449	C₂²×C₁₃	semidirect
575. #448	C₂²×C₁₃	semidirect
576. #448	C₂²×C₁₃	semidirect
579. #447	C₂²×C₁₃	semidirect
580. #447	C₂²×C₁₃	semidirect
581. #446	C₂²×C₁₃	semidirect
582. #442	C₂²×C₁₃	semidirect
583. #442	C₂²×C₁₃	semidirect
584. #442	C₂²×C₁₃	semidirect
585. #440	C₂²×C₁₃	semidirect
586. C₄×SD₁₆	C₂²×C₁₃	semidirect
587. C₄×D₈	C₂²×C₁₃	semidirect
588. #436	C₂²×C₁₃	semidirect
589. #435	C₂²×C₁₃	semidirect
590. #435	C₂²×C₁₃	semidirect
591. #433	C₂²×C₁₃	semidirect
592. #432	C₂²×C₁₃	semidirect
593. #419	C₂²×C₁₃	semidirect
595. #418	C₂²×C₁₃	semidirect
596. #417	C₂²×C₁₃	semidirect
597. #416	C₂²×C₁₃	semidirect
598. C₂×#102	C₂²×C₁₃	semidirect
599. #405	C₂²×C₁₃	semidirect
600. C₄×M₁₆	C₂²×C₁₃	semidirect
932. C₁₃	#62570	direct (N × H)

Maximal subgroups

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

subgroup	index
C₁₃×#3558	2
C₁₃×#3547	2
C₁₃×#3373	2
C₁₃×#3370	2
C₁₃×#3326	2
C₁₃×#3325	2
C₁₃×#3321	2
C₁₃×#3319	2
C₁₃×#3318	2
C₁₃×#3306	2
C₁₃×#3244	2
C₁₃×#3235	2
C₁₃×#3220	2
C₁₃×#3213	2
C₁₃×#3184	2
C₁₃×#3179	2
C₁₃×#3140	2
C₁₃×#3136	2
C₁₃×#2967	2
#62570	13

Subgroups — C13×#62570 #15748909

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₃×#62570 #15748909