Subgroups — C₁₃×#61107 #15747446

Order 3328.

2624 conjugacy classes of subgroups.

The subgroup lattice has 1408 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₁₃×#3586	C₂	1	1	yes	maximal, characteristic, complemented
2	C₁₃×#3585	C₂	1	1	yes	maximal, characteristic, complemented
3	C₁₃×#3584	C₂	1	1	yes	maximal, characteristic, complemented
4	C₂×C₁₃×#577	C₂	1	1	yes	maximal, characteristic, complemented
5	C₁₃×#3291	C₂	1	4	yes	maximal, complemented
6	C₁₃×#3290	C₂	1	4	yes	maximal, complemented
7	C₁₃×#3289	C₂	1	4	yes	maximal, complemented
8	C₁₃×#3288	C₂	1	4	yes	maximal, complemented
9	C₁₃×#3154	C₂	1	1	yes	maximal, characteristic, complemented
10	C₁₃×#3069	C₂	1	1	yes	maximal, characteristic, complemented
11	C₁₃×#3068	C₂	1	1	yes	maximal, characteristic, complemented
12	C₁₃×#3067	C₂	1	1	yes	maximal, characteristic, complemented
13	C₂×C₁₃×#471	C₂	1	1	yes	maximal, characteristic, complemented
14	C₁₃×#3022	C₂	1	1	yes	maximal, characteristic, complemented
15	C₁₃×#3021	C₂	1	1	yes	maximal, characteristic, complemented
16	C₁₃×#3020	C₂	1	1	yes	maximal, characteristic, complemented
17	C₁₃×#3019	C₂	1	1	yes	maximal, characteristic, complemented
18	C₁₃×#2957	C₂	1	1	yes	maximal, characteristic, complemented
19	C₁₃×#2955	C₂	1	1	yes	maximal, characteristic, complemented
20	C₁₃×#585	C₂²	1	1	yes	characteristic
21	C₁₃×#585	C₂²	1	1	yes	characteristic, complemented
22	C₂×C₁₃×2₋¹⁺⁴	C₂²	1	1	yes	characteristic, complemented
23	C₂×C₁₃×H(5,𝔽₂)	C₂²	1	1	yes	characteristic, complemented
24	C₁₃×#578	—	2	2	no	—
25	C₁₃×#578	—	2	1	no	—
26	C₁₃×#578	C₂²	1	2	yes	complemented
27	C₁₃×#578	C₂²	1	4	yes	complemented
28	C₁₃×#577	—	2	2	no	—
29	C₁₃×#577	—	2	2	no	—
30	C₁₃×#577	—	2	2	no	—
31	C₁₃×#577	—	2	2	no	—
32	C₁₃×#577	—	2	1	no	—
33	C₁₃×#577	—	2	1	no	—
34	C₁₃×#577	C₂²	1	4	yes	complemented
35	C₁₃×#577	C₂²	1	4	yes	complemented
36	C₁₃×#577	C₂²	1	4	yes	complemented
37	C₁₃×#577	C₂²	1	4	yes	complemented
38	C₁₃×#577	C₂²	1	2	yes	complemented
39	C₁₃×#577	C₂²	1	2	yes	complemented
40	C₁₃×#576	—	2	2	no	—
41	C₁₃×#576	—	2	1	no	—
42	C₁₃×#576	C₂²	1	4	yes	complemented
43	C₁₃×#576	C₂²	1	2	yes	complemented
44	C₁₃×#575	—	2	2	no	—
45	C₁₃×#575	—	2	2	no	—
46	C₁₃×#575	—	2	2	no	—
47	C₁₃×#575	C₂²	1	1	yes	characteristic
48	C₁₃×#575	C₂²	1	1	yes	characteristic
49	C₁₃×#575	C₂²	1	1	yes	characteristic, complemented
50	C₁₃×#575	C₂²	1	1	yes	characteristic, complemented
51	C₁₃×#575	C₂²	1	1	yes	characteristic, complemented
52	C₂×C₁₃×#137	—	2	2	no	—
53	C₂×C₁₃×#137	—	2	1	no	—
54	C₂×C₁₃×#137	C₂²	1	1	yes	characteristic, complemented
55	C₂×C₁₃×#137	C₂²	1	1	yes	characteristic, complemented
56	C₂×C₁₃×#137	C₂²	1	1	yes	characteristic, complemented
57	C₂×C₁₃×AGL(1,ℤ/8)	—	2	2	no	—
58	C₂×C₁₃×AGL(1,ℤ/8)	—	2	1	no	—
59	C₂×C₁₃×AGL(1,ℤ/8)	C₂²	1	1	yes	characteristic
60	C₂×C₁₃×AGL(1,ℤ/8)	C₂²	1	1	yes	characteristic, complemented
61	C₂×C₁₃×AGL(1,ℤ/8)	C₂²	1	1	yes	characteristic, complemented
62	C₂×C₁₃×#135	—	2	2	no	—
63	C₂×C₁₃×#135	—	2	1	no	—
64	C₂×C₁₃×#135	C₂²	1	1	yes	characteristic
65	C₂×C₁₃×#135	C₂²	1	1	yes	characteristic, complemented
66	C₂²×C₁₃×SD₁₆	—	2	1	no	—
67	C₂²×C₁₃×SD₁₆	C₂²	1	1	yes	characteristic, complemented
68	C₁₃×#568	C₂²	1	1	yes	characteristic, complemented
69	C₁₃×#568	C₂²	1	1	yes	characteristic, complemented
70	C₂×C₁₃×#131	C₂²	1	1	yes	characteristic, complemented
71	C₂×C₁₃×#131	C₂²	1	1	yes	characteristic, complemented
72	C₁₃×#536	C₂²	1	1	yes	characteristic, complemented
73	C₁₃×#535	C₂²	1	1	yes	characteristic, complemented
74	C₁₃×#497	C₂²	1	2	yes	complemented
75	C₁₃×#496	C₂²	1	2	yes	complemented
76	C₁₃×#495	C₂²	1	2	yes	complemented
77	C₁₃×#492	C₂²	1	2	yes	complemented
78	C₁₃×#473	C₂²	1	2	yes	complemented
79	C₁₃×#473	C₂²	1	4	yes	complemented
80	C₁₃×#472	C₂²	1	4	yes	complemented
81	C₁₃×#472	C₂²	1	2	yes	complemented
82	C₁₃×#471	C₂²	1	4	yes	complemented
83	C₁₃×#471	C₂²	1	4	yes	complemented
84	C₁₃×#471	C₂²	1	4	yes	complemented
85	C₁₃×#471	C₂²	1	4	yes	complemented
86	C₁₃×#471	C₂²	1	2	yes	complemented
87	C₁₃×#471	C₂²	1	2	yes	complemented
88	C₁₃×#456	C₂²	1	4	yes	complemented
89	C₁₃×#456	C₂²	1	4	yes	complemented
90	C₁₃×#455	C₂²	1	4	yes	complemented
91	C₁₃×#455	C₂²	1	4	yes	complemented
92	C₁₃×#454	C₂²	1	4	yes	complemented
93	C₁₃×#454	C₂²	1	4	yes	complemented
94	C₁₃×#453	C₂²	1	4	yes	complemented
95	C₁₃×#453	C₂²	1	4	yes	complemented
96	C₁₃×#444	C₂²	1	4	yes	complemented
97	C₁₃×#444	C₂²	1	4	yes	complemented
98	C₁₃×#443	C₂²	1	4	yes	complemented
99	C₁₃×#443	C₂²	1	4	yes	complemented
100	C₁₃×#430	C₂²	1	1	yes	characteristic, complemented
101	C₂×C₁₃×#108	C₂²	1	1	yes	characteristic, complemented
102	C₁₃×#421	C₂²	1	1	yes	characteristic, complemented
103	C₁₃×#421	C₂²	1	1	yes	characteristic, complemented
104	C₁₃×#421	C₂²	1	1	yes	characteristic, complemented
105	C₁₃×#421	C₂²	1	1	yes	characteristic, complemented
106	C₁₃×#413	C₂²	1	1	yes	characteristic, complemented
107	C₁₃×#413	C₂²	1	1	yes	characteristic, complemented
108	C₂×C₁₃×#101	C₂²	1	1	yes	characteristic, complemented
109	C₂×C₁₃×#100	C₂²	1	1	yes	characteristic, complemented
110	C₁₃×#405	C₂²	1	1	yes	characteristic, complemented
111	C₁₃×2₋¹⁺⁴	—	2	2	no	—
112	C₁₃×2₋¹⁺⁴	—	2	2	no	—
113	C₁₃×2₋¹⁺⁴	—	2	1	no	—
114	C₁₃×2₋¹⁺⁴	—	2	1	no	—
115	C₁₃×2₋¹⁺⁴	—	2	1	no	—
116	C₁₃×2₋¹⁺⁴	—	2	1	no	—
117	C₁₃×2₋¹⁺⁴	—	4	1	no	—
118	C₁₃×2₋¹⁺⁴	C₂³	1	4	yes	—
119	C₁₃×2₋¹⁺⁴	C₂³	1	2	yes	—
120	C₁₃×2₋¹⁺⁴	C₂³	1	2	yes	complemented
121	C₁₃×H(5,𝔽₂)	—	2	2	no	—
122	C₁₃×H(5,𝔽₂)	—	2	2	no	—
123	C₁₃×H(5,𝔽₂)	—	2	1	no	—
124	C₁₃×H(5,𝔽₂)	—	2	1	no	—
125	C₁₃×H(5,𝔽₂)	—	2	1	no	—
126	C₁₃×H(5,𝔽₂)	—	2	1	no	—
127	C₁₃×H(5,𝔽₂)	—	4	1	no	—
128	C₁₃×H(5,𝔽₂)	—	4	1	no	—
129	C₁₃×H(5,𝔽₂)	—	4	1	no	—
130	C₁₃×H(5,𝔽₂)	C₂³	1	4	yes	—
131	C₁₃×H(5,𝔽₂)	C₂³	1	2	yes	—
132	C₁₃×H(5,𝔽₂)	C₂³	1	2	yes	complemented
133	C₂×C₁₃×#41	—	2	2	no	—
134	C₂×C₁₃×#41	—	2	2	no	—
135	C₂×C₁₃×#41	—	2	2	no	—
136	C₂×C₁₃×#41	—	2	2	no	—
137	C₂×C₁₃×#41	—	2	1	no	—
138	C₂×C₁₃×#41	—	2	1	no	—
139	C₂×C₁₃×#41	—	2	1	no	—
140	C₂×C₁₃×#41	—	2	1	no	—
141	C₂×C₁₃×#41	—	4	1	no	—
142	C₂×C₁₃×#41	—	4	1	no	—
143	C₂×C₁₃×#41	—	4	1	no	—
144	C₂×C₁₃×#41	C₂³	1	1	yes	characteristic
145	C₂×C₁₃×#41	C₂³	1	1	yes	characteristic
146	C₂×C₁₃×#41	C₂³	1	1	yes	characteristic
147	C₂×C₁₃×#41	C₂³	1	1	yes	characteristic
148	C₂×C₁₃×#41	C₂³	1	1	yes	characteristic
149	C₂×C₁₃×#41	C₂³	1	1	yes	characteristic
150	C₂²×Q₈×C₁₃	—	2	1	no	—
151	C₂²×Q₈×C₁₃	—	2	1	no	—
152	C₂²×Q₈×C₁₃	C₂³	1	1	yes	characteristic
153	C₂²×D₄×C₁₃	—	2	1	no	—
154	C₂²×D₄×C₁₃	—	2	1	no	—
155	C₂²×D₄×C₁₃	—	4	1	no	—
156	C₂²×D₄×C₁₃	C₂³	1	1	yes	characteristic
157	C₁₃×#137	—	2	2	no	—
158	C₁₃×#137	—	2	2	no	—
159	C₁₃×#137	—	2	1	no	—
160	C₁₃×#137	—	2	1	no	—
161	C₁₃×#137	—	2	1	no	—
162	C₁₃×#137	—	2	1	no	—
163	C₁₃×#137	—	2	4	no	—
164	C₁₃×#137	—	2	4	no	—
165	C₁₃×#137	—	2	4	no	—
166	C₁₃×#137	—	2	4	no	—
167	C₁₃×#137	—	2	2	no	—
168	C₁₃×#137	—	2	2	no	—
169	C₁₃×#137	—	2	4	no	—
170	C₁₃×#137	—	2	2	no	—
171	C₁₃×#137	—	2	2	no	—
172	C₁₃×#137	—	2	4	no	—
173	C₁₃×#137	—	2	2	no	—
174	C₁₃×#137	—	2	2	no	—
175	C₁₃×#137	D₄	1	2	yes	complemented
176	C₁₃×#137	D₄	1	2	yes	complemented
177	C₁₃×#137	C₂³	1	2	yes	—
178	C₁₃×#137	C₂³	1	2	yes	—
179	C₁₃×#137	C₂³	1	4	yes	—
180	C₁₃×#137	C₂³	1	2	yes	—
181	C₁₃×#137	C₂³	1	4	yes	complemented
182	C₁₃×#137	C₂³	1	2	yes	complemented
183	C₁₃×AGL(1,ℤ/8)	—	2	2	no	—
184	C₁₃×AGL(1,ℤ/8)	—	2	2	no	—
185	C₁₃×AGL(1,ℤ/8)	—	2	1	no	—
186	C₁₃×AGL(1,ℤ/8)	—	2	1	no	—
187	C₁₃×AGL(1,ℤ/8)	—	2	1	no	—
188	C₁₃×AGL(1,ℤ/8)	—	2	1	no	—
189	C₁₃×AGL(1,ℤ/8)	—	2	4	no	—
190	C₁₃×AGL(1,ℤ/8)	—	2	4	no	—
191	C₁₃×AGL(1,ℤ/8)	—	2	2	no	—
192	C₁₃×AGL(1,ℤ/8)	—	2	2	no	—
193	C₁₃×AGL(1,ℤ/8)	—	2	4	no	—
194	C₁₃×AGL(1,ℤ/8)	—	2	4	no	—
195	C₁₃×AGL(1,ℤ/8)	—	2	4	no	—
196	C₁₃×AGL(1,ℤ/8)	—	2	2	no	—
197	C₁₃×AGL(1,ℤ/8)	—	2	2	no	—
198	C₁₃×AGL(1,ℤ/8)	—	2	4	no	—
199	C₁₃×AGL(1,ℤ/8)	—	2	2	no	—
200	C₁₃×AGL(1,ℤ/8)	—	2	2	no	—
201	C₁₃×AGL(1,ℤ/8)	D₄	1	2	yes	complemented
202	C₁₃×AGL(1,ℤ/8)	D₄	1	2	yes	complemented
203	C₁₃×AGL(1,ℤ/8)	C₂³	1	2	yes	—
204	C₁₃×AGL(1,ℤ/8)	C₂³	1	2	yes	—
205	C₁₃×AGL(1,ℤ/8)	C₂³	1	4	yes	—
206	C₁₃×AGL(1,ℤ/8)	C₂³	1	4	yes	—
207	C₁₃×AGL(1,ℤ/8)	C₂³	1	2	yes	—
208	C₁₃×AGL(1,ℤ/8)	C₂³	1	2	yes	complemented
209	C₁₃×#135	—	2	2	no	—
210	C₁₃×#135	—	2	2	no	—
211	C₁₃×#135	—	2	2	no	—
212	C₁₃×#135	—	2	2	no	—
213	C₁₃×#135	—	2	2	no	—
214	C₁₃×#135	—	2	4	no	—
215	C₁₃×#135	—	2	4	no	—
216	C₁₃×#135	—	2	4	no	—
217	C₁₃×#135	—	2	2	no	—
218	C₁₃×#135	—	2	2	no	—
219	C₁₃×#135	—	2	4	no	—
220	C₁₃×#135	—	2	4	no	—
221	C₁₃×#135	—	2	2	no	—
222	C₁₃×#135	—	2	4	no	—
223	C₁₃×#135	—	2	1	no	—
224	C₁₃×#135	—	2	1	no	—
225	C₁₃×#135	—	2	1	no	—
226	C₁₃×#135	—	2	1	no	—
227	C₁₃×#135	D₄	1	2	yes	complemented
228	C₁₃×#135	D₄	1	2	yes	complemented
229	C₁₃×#135	C₂³	1	2	yes	—
230	C₁₃×#135	C₂³	1	4	yes	—
231	C₁₃×#135	C₂³	1	2	yes	—
232	C₂×C₁₃×Q₁₆	—	2	1	no	—
233	C₂×C₁₃×Q₁₆	—	2	1	no	—
234	C₂×C₁₃×Q₁₆	—	2	2	no	—
235	C₂×C₁₃×Q₁₆	—	2	4	no	—
236	C₂×C₁₃×Q₁₆	D₄	1	1	yes	characteristic, complemented
237	C₂×C₁₃×Q₁₆	C₂³	1	2	yes	complemented
238	C₂×C₁₃×Q₁₆	C₂³	1	1	yes	characteristic, complemented
239	C₂×C₁₃×SD₁₆	—	2	1	no	—
240	C₂×C₁₃×SD₁₆	—	2	1	no	—
241	C₂×C₁₃×SD₁₆	—	2	1	no	—
242	C₂×C₁₃×SD₁₆	—	2	1	no	—
243	C₂×C₁₃×SD₁₆	—	2	4	no	—
244	C₂×C₁₃×SD₁₆	—	2	4	no	—
245	C₂×C₁₃×SD₁₆	—	2	2	no	—
246	C₂×C₁₃×SD₁₆	—	2	2	no	—
247	C₂×C₁₃×SD₁₆	—	2	4	no	—
248	C₂×C₁₃×SD₁₆	—	2	4	no	—
249	C₂×C₁₃×SD₁₆	—	2	1	no	—
250	C₂×C₁₃×SD₁₆	—	2	1	no	—
251	C₂×C₁₃×SD₁₆	—	2	1	no	—
252	C₂×C₁₃×SD₁₆	—	2	1	no	—
253	C₂×C₁₃×SD₁₆	D₄	1	1	yes	characteristic, complemented
254	C₂×C₁₃×SD₁₆	D₄	1	1	yes	characteristic, complemented
255	C₂×C₁₃×SD₁₆	C₂³	1	2	yes	—
256	C₂×C₁₃×SD₁₆	C₂³	1	2	yes	—
257	C₂×C₁₃×SD₁₆	C₂³	1	2	yes	—
258	C₂×C₁₃×SD₁₆	C₂³	1	1	yes	characteristic, complemented
259	C₂×C₁₃×SD₁₆	C₂³	1	2	yes	complemented
260	C₂×C₁₃×SD₁₆	C₂³	1	1	yes	characteristic, complemented
261	C₂×C₁₃×D₈	—	2	1	no	—
262	C₂×C₁₃×D₈	—	2	1	no	—
263	C₂×C₁₃×D₈	—	2	2	no	—
264	C₂×C₁₃×D₈	—	2	4	no	—
265	C₂×C₁₃×D₈	D₄	1	1	yes	characteristic, complemented
266	C₂×C₁₃×D₈	C₂³	1	2	yes	—
267	C₂×C₁₃×D₈	C₂³	1	1	yes	characteristic, complemented
268	C₁₃×#131	—	2	2	no	—
269	C₁₃×#131	—	2	2	no	—
270	C₁₃×#131	—	2	1	no	—
271	C₁₃×#131	—	2	1	no	—
272	C₁₃×#131	—	2	1	no	—
273	C₁₃×#131	—	2	1	no	—
274	C₁₃×#131	C₂³	1	2	yes	—
275	C₁₃×#131	C₂³	1	4	yes	—
276	C₁₃×#131	C₂³	1	2	yes	—
277	C₁₃×#131	C₂³	1	2	yes	complemented
278	C₁₃×#131	C₂³	1	4	yes	complemented
279	C₁₃×#131	C₂³	1	2	yes	complemented
280	C₂×C₁₃×M₁₆	—	2	2	no	—
281	C₂×C₁₃×M₁₆	—	2	2	no	—
282	C₂×C₁₃×M₁₆	—	2	1	no	—
283	C₂×C₁₃×M₁₆	—	2	1	no	—
284	C₂×C₁₃×M₁₆	C₂³	1	1	yes	characteristic
285	C₂×C₁₃×M₁₆	C₂³	1	1	yes	characteristic
286	C₂×C₁₃×M₁₆	C₂³	1	1	yes	characteristic
287	C₂×C₁₃×M₁₆	C₂³	1	1	yes	characteristic
288	C₂×C₁₃×M₁₆	C₂³	1	1	yes	characteristic
289	C₂²×C₈×C₁₃	—	2	1	no	—
290	C₂²×C₈×C₁₃	—	2	1	no	—
291	C₂²×C₈×C₁₃	C₂³	1	1	yes	characteristic
292	C₁₃×C₄⋊Q₈	C₂³	1	2	yes	complemented
293	C₁₃×#127	C₂³	1	2	yes	—
294	C₁₃×#124	C₂³	1	2	yes	—
295	C₁₃×#124	C₂³	1	2	yes	complemented
296	C₁₃×#123	—	4	1	no	—
297	C₁₃×C₂²⋊Q₈	—	4	1	no	—
298	C₁₃×#121	—	4	1	no	—
299	C₁₃×#120	—	4	1	no	—
300	C₁₃×#117	C₂³	1	1	yes	characteristic
301	C₁₃×#108	C₂³	1	2	yes	complemented
302	C₁₃×#108	C₂³	1	2	yes	complemented
303	C₁₃×#108	C₂³	1	4	yes	complemented
304	C₁₃×#104	C₂³	1	4	yes	—
305	C₁₃×#104	C₂³	1	4	yes	—
306	C₁₃×#104	C₂³	1	4	yes	complemented
307	C₁₃×#104	C₂³	1	4	yes	complemented
308	C₁₃×#101	C₂³	1	4	yes	complemented
309	C₁₃×#101	C₂³	1	2	yes	complemented
310	C₁₃×#101	C₂³	1	2	yes	complemented
311	C₁₃×#100	C₂³	1	4	yes	—
312	C₁₃×#100	C₂³	1	2	yes	complemented
313	C₁₃×#100	C₂³	1	2	yes	complemented
314	C₁₃×#97	C₂³	1	2	yes	complemented
315	C₄×C₈×C₁₃	C₂³	1	2	yes	complemented
316	#61107	C₁₃	1	1	yes	maximal, characteristic, direct product factor, Sylow
317	C₂⁴×C₁₃	—	2	1	no	—
318	C₂⁴×C₁₃	—	4	1	no	—
319	C₁₃×#41	—	2	1	no	—
320	C₁₃×#41	—	2	1	no	—
321	C₁₃×#41	—	2	1	no	—
322	C₁₃×#41	—	2	1	no	—
323	C₁₃×#41	—	2	1	no	—
324	C₁₃×#41	—	2	1	no	—
325	C₁₃×#41	—	2	1	no	—
326	C₁₃×#41	—	2	1	no	—
327	C₁₃×#41	—	2	2	no	—
328	C₁₃×#41	—	2	4	no	—
329	C₁₃×#41	—	2	2	no	—
330	C₁₃×#41	—	2	2	no	—
331	C₁₃×#41	—	2	4	no	—
332	C₁₃×#41	—	2	2	no	—
333	C₁₃×#41	—	2	2	no	—
334	C₁₃×#41	—	2	4	no	—
335	C₁₃×#41	—	2	2	no	—
336	C₁₃×#41	—	2	2	no	—
337	C₁₃×#41	—	2	4	no	—
338	C₁₃×#41	—	2	2	no	—
339	C₁₃×#41	—	2	1	no	—
340	C₁₃×#41	—	2	1	no	—
341	C₁₃×#41	—	2	1	no	—
342	C₁₃×#41	—	2	1	no	—
343	C₁₃×#41	—	2	1	no	—
344	C₁₃×#41	—	2	1	no	—
345	C₁₃×#41	—	2	1	no	—
346	C₁₃×#41	—	2	1	no	—
347	C₁₃×#41	—	4	2	no	—
348	C₁₃×#41	—	4	2	no	—
349	C₁₃×#41	—	4	2	no	—
350	C₁₃×#41	—	4	2	no	—
351	C₁₃×#41	—	4	4	no	—
352	C₁₃×#41	—	4	2	no	—
353	C₁₃×#41	—	4	2	no	—
354	C₁₃×#41	—	4	2	no	—
355	C₁₃×#41	—	4	2	no	—
356	C₁₃×#41	—	4	2	no	—
357	C₁₃×#41	—	4	2	no	—
358	C₁₃×#41	—	4	2	no	—
359	C₁₃×#41	—	4	2	no	—
360	C₁₃×#41	—	4	4	no	—
361	C₁₃×#41	—	4	1	no	—
362	C₁₃×#41	—	4	1	no	—
363	C₁₃×#41	—	4	1	no	—
364	C₁₃×#41	—	4	1	no	—
365	C₁₃×#41	C₂×D₄	1	2	yes	—
366	C₁₃×#41	C₂×D₄	1	2	yes	—
367	C₁₃×#41	C₂×D₄	1	2	yes	—
368	C₁₃×#41	C₂×D₄	1	2	yes	—
369	C₁₃×#41	C₂⁴	1	2	yes	—
370	C₁₃×#41	C₂⁴	1	2	yes	—
371	C₁₃×#41	C₂⁴	1	2	yes	—
372	C₁₃×#41	C₂⁴	1	2	yes	—
373	C₂×Q₈×C₁₃	—	2	1	no	—
374	C₂×Q₈×C₁₃	—	2	4	no	—
375	C₂×Q₈×C₁₃	—	2	2	no	—
376	C₂×Q₈×C₁₃	—	2	4	no	—
377	C₂×Q₈×C₁₃	—	2	2	no	—
378	C₂×Q₈×C₁₃	—	2	2	no	—
379	C₂×Q₈×C₁₃	—	2	2	no	—
380	C₂×Q₈×C₁₃	—	2	1	no	—
381	C₂×Q₈×C₁₃	—	2	1	no	—
382	C₂×Q₈×C₁₃	—	2	1	no	—
383	C₂×Q₈×C₁₃	—	2	1	no	—
384	C₂×Q₈×C₁₃	—	4	1	no	—
385	C₂×Q₈×C₁₃	—	4	2	no	—
386	C₂×Q₈×C₁₃	—	4	2	no	—
387	C₂×Q₈×C₁₃	—	4	1	no	—
388	C₂×Q₈×C₁₃	—	4	1	no	—
389	C₂×Q₈×C₁₃	C₂×D₄	1	1	yes	characteristic
390	C₂×Q₈×C₁₃	C₂×D₄	1	1	yes	characteristic
391	C₂×Q₈×C₁₃	C₂×D₄	1	1	yes	characteristic
392	C₂×Q₈×C₁₃	C₂×D₄	1	1	yes	characteristic
393	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
394	C₂×Q₈×C₁₃	C₂⁴	1	2	yes	—
395	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
396	C₂×D₄×C₁₃	—	2	1	no	—
397	C₂×D₄×C₁₃	—	2	1	no	—
398	C₂×D₄×C₁₃	—	2	1	no	—
399	C₂×D₄×C₁₃	—	2	1	no	—
400	C₂×D₄×C₁₃	—	2	2	no	—
401	C₂×D₄×C₁₃	—	2	4	no	—
402	C₂×D₄×C₁₃	—	2	2	no	—
403	C₂×D₄×C₁₃	—	2	2	no	—
404	C₂×D₄×C₁₃	—	2	4	no	—
405	C₂×D₄×C₁₃	—	2	2	no	—
406	C₂×D₄×C₁₃	—	2	1	no	—
407	C₂×D₄×C₁₃	—	2	1	no	—
408	C₂×D₄×C₁₃	—	2	1	no	—
409	C₂×D₄×C₁₃	—	2	1	no	—
410	C₂×D₄×C₁₃	—	2	1	no	—
411	C₂×D₄×C₁₃	—	2	1	no	—
412	C₂×D₄×C₁₃	—	2	1	no	—
413	C₂×D₄×C₁₃	—	4	2	no	—
414	C₂×D₄×C₁₃	—	4	2	no	—
415	C₂×D₄×C₁₃	—	4	1	no	—
416	C₂×D₄×C₁₃	—	4	1	no	—
417	C₂×D₄×C₁₃	—	4	2	no	—
418	C₂×D₄×C₁₃	—	4	4	no	—
419	C₂×D₄×C₁₃	—	4	2	no	—
420	C₂×D₄×C₁₃	—	4	2	no	—
421	C₂×D₄×C₁₃	—	4	4	no	—
422	C₂×D₄×C₁₃	—	4	1	no	—
423	C₂×D₄×C₁₃	—	4	1	no	—
424	C₂×D₄×C₁₃	—	4	2	no	—
425	C₂×D₄×C₁₃	—	4	2	no	—
426	C₂×D₄×C₁₃	—	4	2	no	—
427	C₂×D₄×C₁₃	—	4	2	no	—
428	C₂×D₄×C₁₃	—	4	1	no	—
429	C₂×D₄×C₁₃	C₂×D₄	1	1	yes	characteristic
430	C₂×D₄×C₁₃	C₂×D₄	1	1	yes	characteristic
431	C₂×D₄×C₁₃	C₂×D₄	1	1	yes	characteristic
432	C₂×D₄×C₁₃	C₂×D₄	1	1	yes	characteristic
433	C₂×D₄×C₁₃	C₂⁴	1	2	yes	—
434	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
435	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
436	C₂²×C₄×C₁₃	—	2	1	no	—
437	C₂²×C₄×C₁₃	—	2	1	no	—
438	C₂²×C₄×C₁₃	—	2	1	no	—
439	C₂²×C₄×C₁₃	—	2	1	no	—
440	C₂²×C₄×C₁₃	—	2	1	no	—
441	C₂²×C₄×C₁₃	—	2	1	no	—
442	C₂²×C₄×C₁₃	—	2	1	no	—
443	C₂²×C₄×C₁₃	—	4	1	no	—
444	C₂²×C₄×C₁₃	—	4	2	no	—
445	C₂²×C₄×C₁₃	—	4	2	no	—
446	C₂²×C₄×C₁₃	—	4	1	no	—
447	C₂²×C₄×C₁₃	—	4	1	no	—
448	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
449	C₁₃×Q₁₆	—	2	2	no	—
450	C₁₃×Q₁₆	—	2	4	no	—
451	C₁₃×Q₁₆	—	2	4	no	—
452	C₁₃×Q₁₆	—	2	2	no	—
453	C₁₃×Q₁₆	—	2	2	no	—
454	C₁₃×Q₁₆	—	2	2	no	—
455	C₁₃×Q₁₆	—	2	1	no	—
456	C₁₃×Q₁₆	—	2	4	no	—
457	C₁₃×Q₁₆	—	2	1	no	—
458	C₁₃×Q₁₆	C₂×D₄	1	2	yes	—
459	C₁₃×Q₁₆	C₂×D₄	1	4	yes	—
460	C₁₃×Q₁₆	C₂×D₄	1	2	yes	—
461	C₁₃×SD₁₆	—	2	4	no	—
462	C₁₃×SD₁₆	—	2	4	no	—
463	C₁₃×SD₁₆	—	2	2	no	—
464	C₁₃×SD₁₆	—	2	2	no	—
465	C₁₃×SD₁₆	—	2	2	no	—
466	C₁₃×SD₁₆	—	2	2	no	—
467	C₁₃×SD₁₆	—	2	4	no	—
468	C₁₃×SD₁₆	—	2	2	no	—
469	C₁₃×SD₁₆	—	2	4	no	—
470	C₁₃×SD₁₆	—	2	2	no	—
471	C₁₃×SD₁₆	—	2	2	no	—
472	C₁₃×SD₁₆	—	2	2	no	—
473	C₁₃×SD₁₆	—	2	2	no	—
474	C₁₃×SD₁₆	—	2	2	no	—
475	C₁₃×SD₁₆	—	2	2	no	—
476	C₁₃×SD₁₆	—	2	2	no	—
477	C₁₃×SD₁₆	—	2	1	no	—
478	C₁₃×SD₁₆	—	2	1	no	—
479	C₁₃×SD₁₆	—	2	4	no	—
480	C₁₃×SD₁₆	—	2	4	no	—
481	C₁₃×SD₁₆	—	2	1	no	—
482	C₁₃×SD₁₆	—	2	1	no	—
483	C₁₃×SD₁₆	C₂×D₄	1	2	yes	—
484	C₁₃×SD₁₆	C₂×D₄	1	2	yes	—
485	C₁₃×SD₁₆	C₂×D₄	1	2	yes	—
486	C₁₃×SD₁₆	C₂×D₄	1	4	yes	—
487	C₁₃×SD₁₆	C₂×D₄	1	4	yes	—
488	C₁₃×SD₁₆	C₂×D₄	1	2	yes	—
489	C₁₃×D₈	—	2	2	no	—
490	C₁₃×D₈	—	2	4	no	—
491	C₁₃×D₈	—	2	2	no	—
492	C₁₃×D₈	—	2	4	no	—
493	C₁₃×D₈	—	2	2	no	—
494	C₁₃×D₈	—	2	2	no	—
495	C₁₃×D₈	—	2	1	no	—
496	C₁₃×D₈	—	2	4	no	—
497	C₁₃×D₈	—	2	1	no	—
498	C₁₃×D₈	C₂×D₄	1	2	yes	—
499	C₁₃×D₈	C₂×D₄	1	4	yes	—
500	C₁₃×D₈	C₂×D₄	1	2	yes	—
501	C₁₃×M₁₆	—	2	1	no	—
502	C₁₃×M₁₆	—	2	1	no	—
503	C₁₃×M₁₆	—	2	1	no	—
504	C₁₃×M₁₆	—	2	1	no	—
505	C₁₃×M₁₆	—	2	4	no	—
506	C₁₃×M₁₆	—	2	2	no	—
507	C₁₃×M₁₆	—	2	2	no	—
508	C₁₃×M₁₆	—	2	2	no	—
509	C₁₃×M₁₆	—	2	2	no	—
510	C₁₃×M₁₆	—	2	4	no	—
511	C₁₃×M₁₆	C₂×D₄	1	2	yes	—
512	C₁₃×M₁₆	C₂×D₄	1	2	yes	—
513	C₁₃×M₁₆	C₂⁴	1	2	yes	—
514	C₁₃×M₁₆	C₂⁴	1	2	yes	—
515	C₁₃×M₁₆	C₂⁴	1	2	yes	—
516	C₁₃×M₁₆	C₂⁴	1	2	yes	—
517	C₂×C₈×C₁₃	—	2	1	no	—
518	C₂×C₈×C₁₃	—	2	1	no	—
519	C₂×C₈×C₁₃	—	2	1	no	—
520	C₂×C₈×C₁₃	—	2	1	no	—
521	C₂×C₈×C₁₃	—	2	2	no	—
522	C₂×C₈×C₁₃	—	2	2	no	—
523	C₂×C₈×C₁₃	—	2	2	no	—
524	C₂×C₈×C₁₃	—	2	2	no	—
525	C₂×C₈×C₁₃	—	2	4	no	—
526	C₂×C₈×C₁₃	—	2	4	no	—
527	C₂×C₈×C₁₃	C₂×D₄	1	1	yes	characteristic
528	C₂×C₈×C₁₃	C₂×D₄	1	1	yes	characteristic
529	C₂×C₈×C₁₃	C₂×D₄	1	1	yes	characteristic
530	C₂×C₈×C₁₃	C₂×D₄	1	1	yes	characteristic
531	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
532	C₂×C₈×C₁₃	C₂⁴	1	2	yes	—
533	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
534	C₁₃×C₄⋊C₄	—	2	1	no	—
535	C₁₃×C₄⋊C₄	—	4	2	no	—
536	C₁₃×C₂²⋊C₄	—	2	1	no	—
537	C₁₃×C₂²⋊C₄	—	4	2	no	—
538	C₁₃×C₂²⋊C₄	—	4	2	no	—
539	C₄²×C₁₃	C₂⁴	1	2	yes	—
540	#3586	C₂×C₁₃	1	1	yes	characteristic, complemented
541	#3585	C₂×C₁₃	1	1	yes	characteristic, complemented
542	#3584	C₂×C₁₃	1	1	yes	characteristic, complemented
543	C₂×#577	C₂×C₁₃	1	1	yes	characteristic, complemented
544	#3291	C₂×C₁₃	1	4	yes	complemented
545	#3290	C₂×C₁₃	1	4	yes	complemented
546	#3289	C₂×C₁₃	1	4	yes	complemented
547	#3288	C₂×C₁₃	1	4	yes	complemented
548	#3154	C₂×C₁₃	1	1	yes	characteristic, complemented
549	#3069	C₂×C₁₃	1	1	yes	characteristic, complemented
550	#3068	C₂×C₁₃	1	1	yes	characteristic, complemented
551	#3067	C₂×C₁₃	1	1	yes	characteristic, complemented
552	C₂×#471	C₂×C₁₃	1	1	yes	characteristic, complemented
553	#3022	C₂×C₁₃	1	1	yes	characteristic, complemented
554	#3021	C₂×C₁₃	1	1	yes	characteristic, complemented
555	#3020	C₂×C₁₃	1	1	yes	characteristic, complemented
556	#3019	C₂×C₁₃	1	1	yes	characteristic, complemented
557	#2957	C₂×C₁₃	1	1	yes	characteristic, complemented
558	#2955	C₂×C₁₃	1	1	yes	characteristic, complemented
559	C₂³×C₁₃	—	2	1	no	—
560	C₂³×C₁₃	—	2	1	no	—
561	C₂³×C₁₃	—	2	1	no	—
562	C₂³×C₁₃	—	2	1	no	—
563	C₂³×C₁₃	—	2	1	no	—
564	C₂³×C₁₃	—	2	2	no	—
565	C₂³×C₁₃	—	2	1	no	—
566	C₂³×C₁₃	—	4	2	no	—
567	C₂³×C₁₃	—	4	2	no	—
568	C₂³×C₁₃	—	4	4	no	—
569	C₂³×C₁₃	—	4	1	no	—
570	C₂³×C₁₃	—	4	1	no	—
571	C₂³×C₁₃	—	16	1	no	—
572	C₂³×C₁₃	—	16	2	no	—
573	C₂³×C₁₃	H(5,𝔽₂)	1	1	yes	characteristic
574	Q₈×C₁₃	—	2	1	no	—
575	Q₈×C₁₃	—	2	1	no	—
576	Q₈×C₁₃	—	2	1	no	—
577	Q₈×C₁₃	—	2	1	no	—
578	Q₈×C₁₃	—	2	2	no	—
579	Q₈×C₁₃	—	2	1	no	—
580	Q₈×C₁₃	—	2	2	no	—
581	Q₈×C₁₃	—	2	1	no	—
582	Q₈×C₁₃	—	2	1	no	—
583	Q₈×C₁₃	—	2	1	no	—
584	Q₈×C₁₃	—	4	4	no	—
585	Q₈×C₁₃	—	4	2	no	—
586	Q₈×C₁₃	—	4	2	no	—
587	Q₈×C₁₃	—	4	1	no	—
588	Q₈×C₁₃	—	4	1	no	—
589	Q₈×C₁₃	C₂²×D₄	1	2	yes	—
590	Q₈×C₁₃	C₂²×D₄	1	2	yes	—
591	Q₈×C₁₃	C₂²×D₄	1	2	yes	—
592	Q₈×C₁₃	C₂²×D₄	1	2	yes	—
593	D₄×C₁₃	—	2	2	no	—
594	D₄×C₁₃	—	2	2	no	—
595	D₄×C₁₃	—	2	2	no	—
596	D₄×C₁₃	—	2	2	no	—
597	D₄×C₁₃	—	2	2	no	—
598	D₄×C₁₃	—	2	2	no	—
599	D₄×C₁₃	—	2	2	no	—
600	D₄×C₁₃	—	2	2	no	—
601	D₄×C₁₃	—	2	1	no	—
602	D₄×C₁₃	—	2	1	no	—
603	D₄×C₁₃	—	2	1	no	—
604	D₄×C₁₃	—	2	1	no	—
605	D₄×C₁₃	—	2	1	no	—
606	D₄×C₁₃	—	2	2	no	—
607	D₄×C₁₃	—	2	1	no	—
608	D₄×C₁₃	—	2	1	no	—
609	D₄×C₁₃	—	2	2	no	—
610	D₄×C₁₃	—	2	1	no	—
611	D₄×C₁₃	—	4	4	no	—
612	D₄×C₁₃	—	4	4	no	—
613	D₄×C₁₃	—	4	2	no	—
614	D₄×C₁₃	—	4	2	no	—
615	D₄×C₁₃	—	4	2	no	—
616	D₄×C₁₃	—	4	2	no	—
617	D₄×C₁₃	—	4	2	no	—
618	D₄×C₁₃	—	4	2	no	—
619	D₄×C₁₃	—	4	4	no	—
620	D₄×C₁₃	—	4	1	no	—
621	D₄×C₁₃	—	4	1	no	—
622	D₄×C₁₃	—	4	1	no	—
623	D₄×C₁₃	—	4	1	no	—
624	D₄×C₁₃	—	4	1	no	—
625	D₄×C₁₃	—	4	1	no	—
626	D₄×C₁₃	—	16	2	no	—
627	D₄×C₁₃	C₂²×D₄	1	2	yes	—
628	D₄×C₁₃	C₂²×D₄	1	2	yes	—
629	D₄×C₁₃	C₂²×D₄	1	2	yes	—
630	D₄×C₁₃	C₂²×D₄	1	2	yes	—
631	C₂×C₄×C₁₃	—	2	1	no	—
632	C₂×C₄×C₁₃	—	2	1	no	—
633	C₂×C₄×C₁₃	—	2	1	no	—
634	C₂×C₄×C₁₃	—	2	1	no	—
635	C₂×C₄×C₁₃	—	2	2	no	—
636	C₂×C₄×C₁₃	—	2	2	no	—
637	C₂×C₄×C₁₃	—	2	2	no	—
638	C₂×C₄×C₁₃	—	2	2	no	—
639	C₂×C₄×C₁₃	—	2	2	no	—
640	C₂×C₄×C₁₃	—	2	2	no	—
641	C₂×C₄×C₁₃	—	2	2	no	—
642	C₂×C₄×C₁₃	—	2	2	no	—
643	C₂×C₄×C₁₃	—	2	2	no	—
644	C₂×C₄×C₁₃	—	2	1	no	—
645	C₂×C₄×C₁₃	—	2	2	no	—
646	C₂×C₄×C₁₃	—	2	1	no	—
647	C₂×C₄×C₁₃	—	4	4	no	—
648	C₂×C₄×C₁₃	—	4	2	no	—
649	C₂×C₄×C₁₃	—	4	2	no	—
650	C₂×C₄×C₁₃	—	4	2	no	—
651	C₂×C₄×C₁₃	—	4	2	no	—
652	C₂×C₄×C₁₃	—	4	2	no	—
653	C₂×C₄×C₁₃	—	4	2	no	—
654	C₂×C₄×C₁₃	—	4	4	no	—
655	C₂×C₄×C₁₃	—	4	4	no	—
656	C₂×C₄×C₁₃	—	4	1	no	—
657	C₂×C₄×C₁₃	—	4	1	no	—
658	C₂×C₄×C₁₃	—	4	1	no	—
659	C₂×C₄×C₁₃	—	4	1	no	—
660	C₂×C₄×C₁₃	—	4	1	no	—
661	C₂×C₄×C₁₃	—	4	1	no	—
662	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
663	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
664	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
665	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
666	C₂×C₄×C₁₃	H(5,𝔽₂)	1	1	yes	characteristic
667	C₂×C₄×C₁₃	C₂⁵	1	1	yes	characteristic
668	C₈×C₁₃	—	2	2	no	—
669	C₈×C₁₃	—	2	2	no	—
670	C₈×C₁₃	—	2	2	no	—
671	C₈×C₁₃	—	2	2	no	—
672	C₈×C₁₃	C₂²×D₄	1	1	yes	characteristic
673	C₈×C₁₃	C₂²×D₄	1	1	yes	characteristic
674	C₈×C₁₃	C₂²×D₄	1	1	yes	characteristic
675	C₈×C₁₃	C₂²×D₄	1	4	yes	—
676	C₈×C₁₃	C₂²×D₄	1	1	yes	characteristic
677	#585	C₂²×C₁₃	1	1	yes	characteristic
678	#585	C₂²×C₁₃	1	1	yes	characteristic, complemented
679	C₂×2₋¹⁺⁴	C₂²×C₁₃	1	1	yes	characteristic, complemented
680	C₂×H(5,𝔽₂)	C₂²×C₁₃	1	1	yes	characteristic, complemented
681	#578	—	2	2	no	—
682	#578	—	2	1	no	—
683	#578	C₂²×C₁₃	1	2	yes	complemented
684	#578	C₂²×C₁₃	1	4	yes	complemented
685	#577	—	2	2	no	—
686	#577	—	2	2	no	—
687	#577	—	2	2	no	—
688	#577	—	2	2	no	—
689	#577	—	2	1	no	—
690	#577	—	2	1	no	—
691	#577	C₂²×C₁₃	1	4	yes	complemented
692	#577	C₂²×C₁₃	1	4	yes	complemented
693	#577	C₂²×C₁₃	1	4	yes	complemented
694	#577	C₂²×C₁₃	1	2	yes	complemented
695	#577	C₂²×C₁₃	1	4	yes	complemented
696	#577	C₂²×C₁₃	1	2	yes	complemented
697	#576	—	2	2	no	—
698	#576	—	2	1	no	—
699	#576	C₂²×C₁₃	1	4	yes	complemented
700	#576	C₂²×C₁₃	1	2	yes	complemented
701	#575	—	2	2	no	—
702	#575	—	2	2	no	—
703	#575	—	2	2	no	—
704	#575	C₂²×C₁₃	1	1	yes	characteristic
705	#575	C₂²×C₁₃	1	1	yes	characteristic
706	#575	C₂²×C₁₃	1	1	yes	characteristic, complemented
707	#575	C₂²×C₁₃	1	1	yes	characteristic, complemented
708	#575	C₂²×C₁₃	1	1	yes	characteristic, complemented
709	C₂×#137	—	2	2	no	—
710	C₂×#137	—	2	1	no	—
711	C₂×#137	C₂²×C₁₃	1	1	yes	characteristic, complemented
712	C₂×#137	C₂²×C₁₃	1	1	yes	characteristic, complemented
713	C₂×#137	C₂²×C₁₃	1	1	yes	characteristic, complemented
714	C₂×AGL(1,ℤ/8)	—	2	2	no	—
715	C₂×AGL(1,ℤ/8)	—	2	1	no	—
716	C₂×AGL(1,ℤ/8)	C₂²×C₁₃	1	1	yes	characteristic
717	C₂×AGL(1,ℤ/8)	C₂²×C₁₃	1	1	yes	characteristic, complemented
718	C₂×AGL(1,ℤ/8)	C₂²×C₁₃	1	1	yes	characteristic, complemented
719	C₂×#135	—	2	2	no	—
720	C₂×#135	—	2	1	no	—
721	C₂×#135	C₂²×C₁₃	1	1	yes	characteristic
722	C₂×#135	C₂²×C₁₃	1	1	yes	characteristic, complemented
723	C₂²×SD₁₆	—	2	1	no	—
724	C₂²×SD₁₆	C₂²×C₁₃	1	1	yes	characteristic, complemented
725	#568	C₂²×C₁₃	1	1	yes	characteristic, complemented
726	#568	C₂²×C₁₃	1	1	yes	characteristic, complemented
727	C₂×#131	C₂²×C₁₃	1	1	yes	characteristic, complemented
728	C₂×#131	C₂²×C₁₃	1	1	yes	characteristic, complemented
729	#536	C₂²×C₁₃	1	1	yes	characteristic, complemented
730	#535	C₂²×C₁₃	1	1	yes	characteristic, complemented
731	#497	C₂²×C₁₃	1	2	yes	complemented
732	#496	C₂²×C₁₃	1	2	yes	complemented
733	#495	C₂²×C₁₃	1	2	yes	complemented
734	#492	C₂²×C₁₃	1	2	yes	complemented
735	#473	C₂²×C₁₃	1	2	yes	complemented
736	#473	C₂²×C₁₃	1	4	yes	complemented
737	#472	C₂²×C₁₃	1	4	yes	complemented
738	#472	C₂²×C₁₃	1	2	yes	complemented
739	#471	C₂²×C₁₃	1	4	yes	complemented
740	#471	C₂²×C₁₃	1	4	yes	complemented
741	#471	C₂²×C₁₃	1	4	yes	complemented
742	#471	C₂²×C₁₃	1	4	yes	complemented
743	#471	C₂²×C₁₃	1	2	yes	complemented
744	#471	C₂²×C₁₃	1	2	yes	complemented
745	#456	C₂²×C₁₃	1	4	yes	complemented
746	#456	C₂²×C₁₃	1	4	yes	complemented
747	#455	C₂²×C₁₃	1	4	yes	complemented
748	#455	C₂²×C₁₃	1	4	yes	complemented
749	#454	C₂²×C₁₃	1	4	yes	complemented
750	#454	C₂²×C₁₃	1	4	yes	complemented
751	#453	C₂²×C₁₃	1	4	yes	complemented
752	#453	C₂²×C₁₃	1	4	yes	complemented
753	#444	C₂²×C₁₃	1	4	yes	complemented
754	#444	C₂²×C₁₃	1	4	yes	complemented
755	#443	C₂²×C₁₃	1	4	yes	complemented
756	#443	C₂²×C₁₃	1	4	yes	complemented
757	#430	C₂²×C₁₃	1	1	yes	characteristic, complemented
758	C₂×#108	C₂²×C₁₃	1	1	yes	characteristic, complemented
759	#421	C₂²×C₁₃	1	1	yes	characteristic, complemented
760	#421	C₂²×C₁₃	1	1	yes	characteristic, complemented
761	#421	C₂²×C₁₃	1	1	yes	characteristic, complemented
762	#421	C₂²×C₁₃	1	1	yes	characteristic, complemented
763	#413	C₂²×C₁₃	1	1	yes	characteristic, complemented
764	#413	C₂²×C₁₃	1	1	yes	characteristic, complemented
765	C₂×#101	C₂²×C₁₃	1	1	yes	characteristic, complemented
766	C₂×#100	C₂²×C₁₃	1	1	yes	characteristic, complemented
767	#405	C₂²×C₁₃	1	1	yes	characteristic, complemented
768	C₂²×C₁₃	—	2	2	no	—
769	C₂²×C₁₃	—	2	2	no	—
770	C₂²×C₁₃	—	2	2	no	—
771	C₂²×C₁₃	—	2	2	no	—
772	C₂²×C₁₃	—	4	1	no	—
773	C₂²×C₁₃	—	4	2	no	—
774	C₂²×C₁₃	—	4	1	no	—
775	C₂²×C₁₃	—	4	1	no	—
776	C₂²×C₁₃	—	4	2	no	—
777	C₂²×C₁₃	—	8	1	no	—
778	C₂²×C₁₃	—	8	1	no	—
779	C₂²×C₁₃	—	8	1	no	—
780	C₂²×C₁₃	—	8	1	no	—
781	C₂²×C₁₃	—	8	2	no	—
782	C₂²×C₁₃	—	8	1	no	—
783	C₂²×C₁₃	—	8	2	no	—
784	C₂²×C₁₃	—	16	1	no	—
785	C₂²×C₁₃	—	16	2	no	—
786	C₂²×C₁₃	—	16	2	no	—
787	C₂²×C₁₃	—	16	4	no	—
788	C₂²×C₁₃	D₄²	1	1	yes	characteristic
789	C₂²×C₁₃	D₄²	1	1	yes	characteristic
790	C₂²×C₁₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
791	C₄×C₁₃	—	2	2	no	—
792	C₄×C₁₃	—	2	2	no	—
793	C₄×C₁₃	—	2	2	no	—
794	C₄×C₁₃	—	2	2	no	—
795	C₄×C₁₃	—	4	2	no	—
796	C₄×C₁₃	—	4	1	no	—
797	C₄×C₁₃	—	4	1	no	—
798	C₄×C₁₃	—	4	2	no	—
799	C₄×C₁₃	D₄²	1	1	yes	characteristic
800	C₄×C₁₃	D₄²	1	1	yes	characteristic
801	C₄×C₁₃	C₂³×D₄	1	1	yes	characteristic
802	C₄×C₁₃	C₂³×D₄	1	1	yes	characteristic
803	2₋¹⁺⁴	—	2	2	no	—
804	2₋¹⁺⁴	—	2	2	no	—
805	2₋¹⁺⁴	—	2	1	no	—
806	2₋¹⁺⁴	—	2	1	no	—
807	2₋¹⁺⁴	—	2	1	no	—
808	2₋¹⁺⁴	—	2	1	no	—
809	2₋¹⁺⁴	—	4	1	no	—
810	2₋¹⁺⁴	C₂³×C₁₃	1	4	yes	—
811	2₋¹⁺⁴	C₂³×C₁₃	1	2	yes	—
812	2₋¹⁺⁴	C₂³×C₁₃	1	2	yes	complemented
813	H(5,𝔽₂)	—	2	2	no	—
814	H(5,𝔽₂)	—	2	2	no	—
815	H(5,𝔽₂)	—	2	1	no	—
816	H(5,𝔽₂)	—	2	1	no	—
817	H(5,𝔽₂)	—	2	1	no	—
818	H(5,𝔽₂)	—	2	1	no	—
819	H(5,𝔽₂)	—	4	1	no	—
820	H(5,𝔽₂)	—	4	1	no	—
821	H(5,𝔽₂)	—	4	1	no	—
822	H(5,𝔽₂)	C₂³×C₁₃	1	2	yes	—
823	H(5,𝔽₂)	C₂³×C₁₃	1	4	yes	—
824	H(5,𝔽₂)	C₂³×C₁₃	1	2	yes	complemented
825	C₂×#41	—	2	2	no	—
826	C₂×#41	—	2	2	no	—
827	C₂×#41	—	2	2	no	—
828	C₂×#41	—	2	2	no	—
829	C₂×#41	—	2	1	no	—
830	C₂×#41	—	2	1	no	—
831	C₂×#41	—	2	1	no	—
832	C₂×#41	—	2	1	no	—
833	C₂×#41	—	4	1	no	—
834	C₂×#41	—	4	1	no	—
835	C₂×#41	—	4	1	no	—
836	C₂×#41	C₂³×C₁₃	1	1	yes	characteristic
837	C₂×#41	C₂³×C₁₃	1	1	yes	characteristic
838	C₂×#41	C₂³×C₁₃	1	1	yes	characteristic
839	C₂×#41	C₂³×C₁₃	1	1	yes	characteristic
840	C₂×#41	C₂³×C₁₃	1	1	yes	characteristic
841	C₂×#41	C₂³×C₁₃	1	1	yes	characteristic
842	C₂²×Q₈	—	2	1	no	—
843	C₂²×Q₈	—	2	1	no	—
844	C₂²×Q₈	C₂³×C₁₃	1	1	yes	characteristic
845	C₂²×D₄	—	2	1	no	—
846	C₂²×D₄	—	2	1	no	—
847	C₂²×D₄	—	4	1	no	—
848	C₂²×D₄	C₂³×C₁₃	1	1	yes	characteristic
849	#137	—	2	2	no	—
850	#137	—	2	2	no	—
851	#137	—	2	1	no	—
852	#137	—	2	1	no	—
853	#137	—	2	1	no	—
854	#137	—	2	1	no	—
855	#137	—	2	4	no	—
856	#137	—	2	4	no	—
857	#137	—	2	4	no	—
858	#137	—	2	4	no	—
859	#137	—	2	2	no	—
860	#137	—	2	2	no	—
861	#137	—	2	4	no	—
862	#137	—	2	2	no	—
863	#137	—	2	2	no	—
864	#137	—	2	4	no	—
865	#137	—	2	2	no	—
866	#137	—	2	2	no	—
867	#137	D₄×C₁₃	1	2	yes	complemented
868	#137	D₄×C₁₃	1	2	yes	complemented
869	#137	C₂³×C₁₃	1	4	yes	—
870	#137	C₂³×C₁₃	1	2	yes	—
871	#137	C₂³×C₁₃	1	2	yes	—
872	#137	C₂³×C₁₃	1	2	yes	—
873	#137	C₂³×C₁₃	1	4	yes	complemented
874	#137	C₂³×C₁₃	1	2	yes	complemented
875	AGL(1,ℤ/8)	—	2	2	no	—
876	AGL(1,ℤ/8)	—	2	2	no	—
877	AGL(1,ℤ/8)	—	2	1	no	—
878	AGL(1,ℤ/8)	—	2	1	no	—
879	AGL(1,ℤ/8)	—	2	1	no	—
880	AGL(1,ℤ/8)	—	2	1	no	—
881	AGL(1,ℤ/8)	—	2	4	no	—
882	AGL(1,ℤ/8)	—	2	4	no	—
883	AGL(1,ℤ/8)	—	2	2	no	—
884	AGL(1,ℤ/8)	—	2	2	no	—
885	AGL(1,ℤ/8)	—	2	4	no	—
886	AGL(1,ℤ/8)	—	2	4	no	—
887	AGL(1,ℤ/8)	—	2	4	no	—
888	AGL(1,ℤ/8)	—	2	2	no	—
889	AGL(1,ℤ/8)	—	2	2	no	—
890	AGL(1,ℤ/8)	—	2	4	no	—
891	AGL(1,ℤ/8)	—	2	2	no	—
892	AGL(1,ℤ/8)	—	2	2	no	—
893	AGL(1,ℤ/8)	D₄×C₁₃	1	2	yes	complemented
894	AGL(1,ℤ/8)	D₄×C₁₃	1	2	yes	complemented
895	AGL(1,ℤ/8)	C₂³×C₁₃	1	4	yes	—
896	AGL(1,ℤ/8)	C₂³×C₁₃	1	4	yes	—
897	AGL(1,ℤ/8)	C₂³×C₁₃	1	2	yes	—
898	AGL(1,ℤ/8)	C₂³×C₁₃	1	2	yes	—
899	AGL(1,ℤ/8)	C₂³×C₁₃	1	2	yes	—
900	AGL(1,ℤ/8)	C₂³×C₁₃	1	2	yes	complemented
901	#135	—	2	2	no	—
902	#135	—	2	2	no	—
903	#135	—	2	2	no	—
904	#135	—	2	2	no	—
905	#135	—	2	2	no	—
906	#135	—	2	4	no	—
907	#135	—	2	4	no	—
908	#135	—	2	4	no	—
909	#135	—	2	2	no	—
910	#135	—	2	2	no	—
911	#135	—	2	4	no	—
912	#135	—	2	4	no	—
913	#135	—	2	2	no	—
914	#135	—	2	4	no	—
915	#135	—	2	1	no	—
916	#135	—	2	1	no	—
917	#135	—	2	1	no	—
918	#135	—	2	1	no	—
919	#135	D₄×C₁₃	1	2	yes	complemented
920	#135	D₄×C₁₃	1	2	yes	complemented
921	#135	C₂³×C₁₃	1	2	yes	—
922	#135	C₂³×C₁₃	1	2	yes	—
923	#135	C₂³×C₁₃	1	4	yes	—
924	C₂×Q₁₆	—	2	1	no	—
925	C₂×Q₁₆	—	2	1	no	—
926	C₂×Q₁₆	—	2	2	no	—
927	C₂×Q₁₆	—	2	4	no	—
928	C₂×Q₁₆	D₄×C₁₃	1	1	yes	characteristic, complemented
929	C₂×Q₁₆	C₂³×C₁₃	1	1	yes	characteristic, complemented
930	C₂×Q₁₆	C₂³×C₁₃	1	2	yes	complemented
931	C₂×SD₁₆	—	2	1	no	—
932	C₂×SD₁₆	—	2	1	no	—
933	C₂×SD₁₆	—	2	1	no	—
934	C₂×SD₁₆	—	2	1	no	—
935	C₂×SD₁₆	—	2	4	no	—
936	C₂×SD₁₆	—	2	4	no	—
937	C₂×SD₁₆	—	2	2	no	—
938	C₂×SD₁₆	—	2	2	no	—
939	C₂×SD₁₆	—	2	4	no	—
940	C₂×SD₁₆	—	2	4	no	—
941	C₂×SD₁₆	—	2	1	no	—
942	C₂×SD₁₆	—	2	1	no	—
943	C₂×SD₁₆	—	2	1	no	—
944	C₂×SD₁₆	—	2	1	no	—
945	C₂×SD₁₆	D₄×C₁₃	1	1	yes	characteristic, complemented
946	C₂×SD₁₆	D₄×C₁₃	1	1	yes	characteristic, complemented
947	C₂×SD₁₆	C₂³×C₁₃	1	2	yes	—
948	C₂×SD₁₆	C₂³×C₁₃	1	2	yes	—
949	C₂×SD₁₆	C₂³×C₁₃	1	2	yes	—
950	C₂×SD₁₆	C₂³×C₁₃	1	1	yes	characteristic, complemented
951	C₂×SD₁₆	C₂³×C₁₃	1	1	yes	characteristic, complemented
952	C₂×SD₁₆	C₂³×C₁₃	1	2	yes	complemented
953	C₂×D₈	—	2	1	no	—
954	C₂×D₈	—	2	1	no	—
955	C₂×D₈	—	2	2	no	—
956	C₂×D₈	—	2	4	no	—
957	C₂×D₈	D₄×C₁₃	1	1	yes	characteristic, complemented
958	C₂×D₈	C₂³×C₁₃	1	2	yes	—
959	C₂×D₈	C₂³×C₁₃	1	1	yes	characteristic, complemented
960	#131	—	2	2	no	—
961	#131	—	2	2	no	—
962	#131	—	2	1	no	—
963	#131	—	2	1	no	—
964	#131	—	2	1	no	—
965	#131	—	2	1	no	—
966	#131	C₂³×C₁₃	1	2	yes	—
967	#131	C₂³×C₁₃	1	2	yes	—
968	#131	C₂³×C₁₃	1	4	yes	—
969	#131	C₂³×C₁₃	1	2	yes	complemented
970	#131	C₂³×C₁₃	1	2	yes	complemented
971	#131	C₂³×C₁₃	1	4	yes	complemented
972	C₂×M₁₆	—	2	2	no	—
973	C₂×M₁₆	—	2	2	no	—
974	C₂×M₁₆	—	2	1	no	—
975	C₂×M₁₆	—	2	1	no	—
976	C₂×M₁₆	C₂³×C₁₃	1	1	yes	characteristic
977	C₂×M₁₆	C₂³×C₁₃	1	1	yes	characteristic
978	C₂×M₁₆	C₂³×C₁₃	1	1	yes	characteristic
979	C₂×M₁₆	C₂³×C₁₃	1	1	yes	characteristic
980	C₂×M₁₆	C₂³×C₁₃	1	1	yes	characteristic
981	C₂²×C₈	—	2	1	no	—
982	C₂²×C₈	—	2	1	no	—
983	C₂²×C₈	C₂³×C₁₃	1	1	yes	characteristic
984	C₄⋊Q₈	C₂³×C₁₃	1	2	yes	complemented
985	#127	C₂³×C₁₃	1	2	yes	—
986	#124	C₂³×C₁₃	1	2	yes	—
987	#124	C₂³×C₁₃	1	2	yes	complemented
988	#123	—	4	1	no	—
989	C₂²⋊Q₈	—	4	1	no	—
990	#121	—	4	1	no	—
991	#120	—	4	1	no	—
992	#117	C₂³×C₁₃	1	1	yes	characteristic
993	#108	C₂³×C₁₃	1	2	yes	complemented
994	#108	C₂³×C₁₃	1	2	yes	complemented
995	#108	C₂³×C₁₃	1	4	yes	complemented
996	#104	C₂³×C₁₃	1	4	yes	—
997	#104	C₂³×C₁₃	1	4	yes	—
998	#104	C₂³×C₁₃	1	4	yes	complemented
999	#104	C₂³×C₁₃	1	4	yes	complemented
1000	#101	C₂³×C₁₃	1	4	yes	complemented
1001	#101	C₂³×C₁₃	1	2	yes	complemented
1002	#101	C₂³×C₁₃	1	2	yes	complemented
1003	#100	C₂³×C₁₃	1	4	yes	—
1004	#100	C₂³×C₁₃	1	2	yes	complemented
1005	#100	C₂³×C₁₃	1	2	yes	complemented
1006	#97	C₂³×C₁₃	1	2	yes	complemented
1007	C₄×C₈	C₂³×C₁₃	1	2	yes	complemented
1008	C₂×C₁₃	—	2	1	no	—
1009	C₂×C₁₃	—	2	1	no	—
1010	C₂×C₁₃	—	2	1	no	—
1011	C₂×C₁₃	—	4	2	no	—
1012	C₂×C₁₃	—	4	2	no	—
1013	C₂×C₁₃	—	4	2	no	—
1014	C₂×C₁₃	—	4	2	no	—
1015	C₂×C₁₃	—	8	2	no	—
1016	C₂×C₁₃	—	8	1	no	—
1017	C₂×C₁₃	—	8	1	no	—
1018	C₂×C₁₃	C₂×D₄²	1	1	yes	characteristic
1019	C₂⁴	—	2	1	no	—
1020	C₂⁴	—	4	1	no	—
1021	#41	—	2	1	no	—
1022	#41	—	2	1	no	—
1023	#41	—	2	1	no	—
1024	#41	—	2	1	no	—
1025	#41	—	2	1	no	—
1026	#41	—	2	1	no	—
1027	#41	—	2	1	no	—
1028	#41	—	2	1	no	—
1029	#41	—	2	2	no	—
1030	#41	—	2	4	no	—
1031	#41	—	2	2	no	—
1032	#41	—	2	2	no	—
1033	#41	—	2	4	no	—
1034	#41	—	2	2	no	—
1035	#41	—	2	2	no	—
1036	#41	—	2	4	no	—
1037	#41	—	2	2	no	—
1038	#41	—	2	2	no	—
1039	#41	—	2	4	no	—
1040	#41	—	2	2	no	—
1041	#41	—	2	1	no	—
1042	#41	—	2	1	no	—
1043	#41	—	2	1	no	—
1044	#41	—	2	1	no	—
1045	#41	—	2	1	no	—
1046	#41	—	2	1	no	—
1047	#41	—	2	1	no	—
1048	#41	—	2	1	no	—
1049	#41	—	4	2	no	—
1050	#41	—	4	2	no	—
1051	#41	—	4	2	no	—
1052	#41	—	4	2	no	—
1053	#41	—	4	4	no	—
1054	#41	—	4	2	no	—
1055	#41	—	4	2	no	—
1056	#41	—	4	2	no	—
1057	#41	—	4	2	no	—
1058	#41	—	4	2	no	—
1059	#41	—	4	2	no	—
1060	#41	—	4	2	no	—
1061	#41	—	4	2	no	—
1062	#41	—	4	4	no	—
1063	#41	—	4	1	no	—
1064	#41	—	4	1	no	—
1065	#41	—	4	1	no	—
1066	#41	—	4	1	no	—
1067	#41	C₂×D₄×C₁₃	1	2	yes	—
1068	#41	C₂×D₄×C₁₃	1	2	yes	—
1069	#41	C₂×D₄×C₁₃	1	2	yes	—
1070	#41	C₂×D₄×C₁₃	1	2	yes	—
1071	#41	C₂⁴×C₁₃	1	2	yes	—
1072	#41	C₂⁴×C₁₃	1	2	yes	—
1073	#41	C₂⁴×C₁₃	1	2	yes	—
1074	#41	C₂⁴×C₁₃	1	2	yes	—
1075	C₂×Q₈	—	2	1	no	—
1076	C₂×Q₈	—	2	4	no	—
1077	C₂×Q₈	—	2	2	no	—
1078	C₂×Q₈	—	2	4	no	—
1079	C₂×Q₈	—	2	2	no	—
1080	C₂×Q₈	—	2	2	no	—
1081	C₂×Q₈	—	2	2	no	—
1082	C₂×Q₈	—	2	1	no	—
1083	C₂×Q₈	—	2	1	no	—
1084	C₂×Q₈	—	2	1	no	—
1085	C₂×Q₈	—	2	1	no	—
1086	C₂×Q₈	—	4	1	no	—
1087	C₂×Q₈	—	4	2	no	—
1088	C₂×Q₈	—	4	2	no	—
1089	C₂×Q₈	—	4	1	no	—
1090	C₂×Q₈	—	4	1	no	—
1091	C₂×Q₈	C₂×D₄×C₁₃	1	1	yes	characteristic
1092	C₂×Q₈	C₂×D₄×C₁₃	1	1	yes	characteristic
1093	C₂×Q₈	C₂×D₄×C₁₃	1	1	yes	characteristic
1094	C₂×Q₈	C₂×D₄×C₁₃	1	1	yes	characteristic
1095	C₂×Q₈	C₂⁴×C₁₃	1	1	yes	characteristic
1096	C₂×Q₈	C₂⁴×C₁₃	1	2	yes	—
1097	C₂×Q₈	C₂⁴×C₁₃	1	1	yes	characteristic
1098	C₂×D₄	—	2	1	no	—
1099	C₂×D₄	—	2	1	no	—
1100	C₂×D₄	—	2	1	no	—
1101	C₂×D₄	—	2	1	no	—
1102	C₂×D₄	—	2	2	no	—
1103	C₂×D₄	—	2	4	no	—
1104	C₂×D₄	—	2	2	no	—
1105	C₂×D₄	—	2	2	no	—
1106	C₂×D₄	—	2	4	no	—
1107	C₂×D₄	—	2	2	no	—
1108	C₂×D₄	—	2	1	no	—
1109	C₂×D₄	—	2	1	no	—
1110	C₂×D₄	—	2	1	no	—
1111	C₂×D₄	—	2	1	no	—
1112	C₂×D₄	—	2	1	no	—
1113	C₂×D₄	—	2	1	no	—
1114	C₂×D₄	—	2	1	no	—
1115	C₂×D₄	—	4	2	no	—
1116	C₂×D₄	—	4	2	no	—
1117	C₂×D₄	—	4	1	no	—
1118	C₂×D₄	—	4	1	no	—
1119	C₂×D₄	—	4	2	no	—
1120	C₂×D₄	—	4	4	no	—
1121	C₂×D₄	—	4	2	no	—
1122	C₂×D₄	—	4	2	no	—
1123	C₂×D₄	—	4	4	no	—
1124	C₂×D₄	—	4	1	no	—
1125	C₂×D₄	—	4	1	no	—
1126	C₂×D₄	—	4	2	no	—
1127	C₂×D₄	—	4	2	no	—
1128	C₂×D₄	—	4	2	no	—
1129	C₂×D₄	—	4	2	no	—
1130	C₂×D₄	—	4	1	no	—
1131	C₂×D₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1132	C₂×D₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1133	C₂×D₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1134	C₂×D₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1135	C₂×D₄	C₂⁴×C₁₃	1	2	yes	—
1136	C₂×D₄	C₂⁴×C₁₃	1	1	yes	characteristic
1137	C₂×D₄	C₂⁴×C₁₃	1	1	yes	characteristic
1138	C₂²×C₄	—	2	1	no	—
1139	C₂²×C₄	—	2	1	no	—
1140	C₂²×C₄	—	2	1	no	—
1141	C₂²×C₄	—	2	1	no	—
1142	C₂²×C₄	—	2	1	no	—
1143	C₂²×C₄	—	2	1	no	—
1144	C₂²×C₄	—	2	1	no	—
1145	C₂²×C₄	—	4	1	no	—
1146	C₂²×C₄	—	4	2	no	—
1147	C₂²×C₄	—	4	2	no	—
1148	C₂²×C₄	—	4	1	no	—
1149	C₂²×C₄	—	4	1	no	—
1150	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1151	Q₁₆	—	2	2	no	—
1152	Q₁₆	—	2	4	no	—
1153	Q₁₆	—	2	4	no	—
1154	Q₁₆	—	2	2	no	—
1155	Q₁₆	—	2	2	no	—
1156	Q₁₆	—	2	2	no	—
1157	Q₁₆	—	2	1	no	—
1158	Q₁₆	—	2	4	no	—
1159	Q₁₆	—	2	1	no	—
1160	Q₁₆	C₂×D₄×C₁₃	1	2	yes	—
1161	Q₁₆	C₂×D₄×C₁₃	1	4	yes	—
1162	Q₁₆	C₂×D₄×C₁₃	1	2	yes	—
1163	SD₁₆	—	2	4	no	—
1164	SD₁₆	—	2	4	no	—
1165	SD₁₆	—	2	2	no	—
1166	SD₁₆	—	2	2	no	—
1167	SD₁₆	—	2	2	no	—
1168	SD₁₆	—	2	2	no	—
1169	SD₁₆	—	2	4	no	—
1170	SD₁₆	—	2	2	no	—
1171	SD₁₆	—	2	4	no	—
1172	SD₁₆	—	2	2	no	—
1173	SD₁₆	—	2	2	no	—
1174	SD₁₆	—	2	2	no	—
1175	SD₁₆	—	2	2	no	—
1176	SD₁₆	—	2	2	no	—
1177	SD₁₆	—	2	2	no	—
1178	SD₁₆	—	2	2	no	—
1179	SD₁₆	—	2	1	no	—
1180	SD₁₆	—	2	1	no	—
1181	SD₁₆	—	2	4	no	—
1182	SD₁₆	—	2	4	no	—
1183	SD₁₆	—	2	1	no	—
1184	SD₁₆	—	2	1	no	—
1185	SD₁₆	C₂×D₄×C₁₃	1	2	yes	—
1186	SD₁₆	C₂×D₄×C₁₃	1	2	yes	—
1187	SD₁₆	C₂×D₄×C₁₃	1	2	yes	—
1188	SD₁₆	C₂×D₄×C₁₃	1	4	yes	—
1189	SD₁₆	C₂×D₄×C₁₃	1	4	yes	—
1190	SD₁₆	C₂×D₄×C₁₃	1	2	yes	—
1191	D₈	—	2	2	no	—
1192	D₈	—	2	4	no	—
1193	D₈	—	2	2	no	—
1194	D₈	—	2	4	no	—
1195	D₈	—	2	2	no	—
1196	D₈	—	2	2	no	—
1197	D₈	—	2	1	no	—
1198	D₈	—	2	4	no	—
1199	D₈	—	2	1	no	—
1200	D₈	C₂×D₄×C₁₃	1	2	yes	—
1201	D₈	C₂×D₄×C₁₃	1	4	yes	—
1202	D₈	C₂×D₄×C₁₃	1	2	yes	—
1203	M₁₆	—	2	1	no	—
1204	M₁₆	—	2	1	no	—
1205	M₁₆	—	2	1	no	—
1206	M₁₆	—	2	1	no	—
1207	M₁₆	—	2	4	no	—
1208	M₁₆	—	2	2	no	—
1209	M₁₆	—	2	2	no	—
1210	M₁₆	—	2	2	no	—
1211	M₁₆	—	2	2	no	—
1212	M₁₆	—	2	4	no	—
1213	M₁₆	C₂×D₄×C₁₃	1	2	yes	—
1214	M₁₆	C₂×D₄×C₁₃	1	2	yes	—
1215	M₁₆	C₂⁴×C₁₃	1	2	yes	—
1216	M₁₆	C₂⁴×C₁₃	1	2	yes	—
1217	M₁₆	C₂⁴×C₁₃	1	2	yes	—
1218	M₁₆	C₂⁴×C₁₃	1	2	yes	—
1219	C₂×C₈	—	2	1	no	—
1220	C₂×C₈	—	2	1	no	—
1221	C₂×C₈	—	2	1	no	—
1222	C₂×C₈	—	2	1	no	—
1223	C₂×C₈	—	2	2	no	—
1224	C₂×C₈	—	2	2	no	—
1225	C₂×C₈	—	2	2	no	—
1226	C₂×C₈	—	2	2	no	—
1227	C₂×C₈	—	2	4	no	—
1228	C₂×C₈	—	2	4	no	—
1229	C₂×C₈	C₂×D₄×C₁₃	1	1	yes	characteristic
1230	C₂×C₈	C₂×D₄×C₁₃	1	1	yes	characteristic
1231	C₂×C₈	C₂×D₄×C₁₃	1	1	yes	characteristic
1232	C₂×C₈	C₂×D₄×C₁₃	1	1	yes	characteristic
1233	C₂×C₈	C₂⁴×C₁₃	1	1	yes	characteristic
1234	C₂×C₈	C₂⁴×C₁₃	1	2	yes	—
1235	C₂×C₈	C₂⁴×C₁₃	1	1	yes	characteristic
1236	C₄⋊C₄	—	2	1	no	—
1237	C₄⋊C₄	—	4	2	no	—
1238	C₂²⋊C₄	—	2	1	no	—
1239	C₂²⋊C₄	—	4	2	no	—
1240	C₂²⋊C₄	—	4	2	no	—
1241	C₄²	C₂⁴×C₁₃	1	2	yes	—
1242	C₁₃	#61107	1	1	yes	characteristic, direct product factor, Sylow
1243	C₂³	—	2	1	no	—
1244	C₂³	—	2	1	no	—
1245	C₂³	—	2	1	no	—
1246	C₂³	—	2	1	no	—
1247	C₂³	—	2	1	no	—
1248	C₂³	—	2	2	no	—
1249	C₂³	—	2	1	no	—
1250	C₂³	—	4	2	no	—
1251	C₂³	—	4	2	no	—
1252	C₂³	—	4	4	no	—
1253	C₂³	—	4	1	no	—
1254	C₂³	—	4	1	no	—
1255	C₂³	—	16	1	no	—
1256	C₂³	—	16	2	no	—
1257	C₂³	C₁₃×H(5,𝔽₂)	1	1	yes	characteristic
1258	Q₈	—	2	1	no	—
1259	Q₈	—	2	1	no	—
1260	Q₈	—	2	1	no	—
1261	Q₈	—	2	1	no	—
1262	Q₈	—	2	2	no	—
1263	Q₈	—	2	1	no	—
1264	Q₈	—	2	2	no	—
1265	Q₈	—	2	1	no	—
1266	Q₈	—	2	1	no	—
1267	Q₈	—	2	1	no	—
1268	Q₈	—	4	4	no	—
1269	Q₈	—	4	2	no	—
1270	Q₈	—	4	2	no	—
1271	Q₈	—	4	1	no	—
1272	Q₈	—	4	1	no	—
1273	Q₈	C₂²×D₄×C₁₃	1	2	yes	—
1274	Q₈	C₂²×D₄×C₁₃	1	2	yes	—
1275	Q₈	C₂²×D₄×C₁₃	1	2	yes	—
1276	Q₈	C₂²×D₄×C₁₃	1	2	yes	—
1277	D₄	—	2	2	no	—
1278	D₄	—	2	2	no	—
1279	D₄	—	2	2	no	—
1280	D₄	—	2	2	no	—
1281	D₄	—	2	2	no	—
1282	D₄	—	2	2	no	—
1283	D₄	—	2	2	no	—
1284	D₄	—	2	2	no	—
1285	D₄	—	2	1	no	—
1286	D₄	—	2	1	no	—
1287	D₄	—	2	1	no	—
1288	D₄	—	2	1	no	—
1289	D₄	—	2	1	no	—
1290	D₄	—	2	2	no	—
1291	D₄	—	2	1	no	—
1292	D₄	—	2	1	no	—
1293	D₄	—	2	2	no	—
1294	D₄	—	2	1	no	—
1295	D₄	—	4	4	no	—
1296	D₄	—	4	4	no	—
1297	D₄	—	4	2	no	—
1298	D₄	—	4	2	no	—
1299	D₄	—	4	2	no	—
1300	D₄	—	4	2	no	—
1301	D₄	—	4	2	no	—
1302	D₄	—	4	2	no	—
1303	D₄	—	4	4	no	—
1304	D₄	—	4	1	no	—
1305	D₄	—	4	1	no	—
1306	D₄	—	4	1	no	—
1307	D₄	—	4	1	no	—
1308	D₄	—	4	1	no	—
1309	D₄	—	4	1	no	—
1310	D₄	—	16	2	no	—
1311	D₄	C₂²×D₄×C₁₃	1	2	yes	—
1312	D₄	C₂²×D₄×C₁₃	1	2	yes	—
1313	D₄	C₂²×D₄×C₁₃	1	2	yes	—
1314	D₄	C₂²×D₄×C₁₃	1	2	yes	—
1315	C₂×C₄	—	2	1	no	—
1316	C₂×C₄	—	2	1	no	—
1317	C₂×C₄	—	2	1	no	—
1318	C₂×C₄	—	2	1	no	—
1319	C₂×C₄	—	2	2	no	—
1320	C₂×C₄	—	2	2	no	—
1321	C₂×C₄	—	2	2	no	—
1322	C₂×C₄	—	2	2	no	—
1323	C₂×C₄	—	2	2	no	—
1324	C₂×C₄	—	2	2	no	—
1325	C₂×C₄	—	2	2	no	—
1326	C₂×C₄	—	2	2	no	—
1327	C₂×C₄	—	2	2	no	—
1328	C₂×C₄	—	2	1	no	—
1329	C₂×C₄	—	2	2	no	—
1330	C₂×C₄	—	2	1	no	—
1331	C₂×C₄	—	4	4	no	—
1332	C₂×C₄	—	4	2	no	—
1333	C₂×C₄	—	4	2	no	—
1334	C₂×C₄	—	4	2	no	—
1335	C₂×C₄	—	4	2	no	—
1336	C₂×C₄	—	4	2	no	—
1337	C₂×C₄	—	4	2	no	—
1338	C₂×C₄	—	4	4	no	—
1339	C₂×C₄	—	4	4	no	—
1340	C₂×C₄	—	4	1	no	—
1341	C₂×C₄	—	4	1	no	—
1342	C₂×C₄	—	4	1	no	—
1343	C₂×C₄	—	4	1	no	—
1344	C₂×C₄	—	4	1	no	—
1345	C₂×C₄	—	4	1	no	—
1346	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1347	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1348	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1349	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1350	C₂×C₄	C₁₃×H(5,𝔽₂)	1	1	yes	characteristic
1351	C₂×C₄	C₂⁵×C₁₃	1	1	yes	characteristic
1352	C₈	—	2	2	no	—
1353	C₈	—	2	2	no	—
1354	C₈	—	2	2	no	—
1355	C₈	—	2	2	no	—
1356	C₈	C₂²×D₄×C₁₃	1	1	yes	characteristic
1357	C₈	C₂²×D₄×C₁₃	1	1	yes	characteristic
1358	C₈	C₂²×D₄×C₁₃	1	1	yes	characteristic
1359	C₈	C₂²×D₄×C₁₃	1	4	yes	—
1360	C₈	C₂²×D₄×C₁₃	1	1	yes	characteristic
1361	C₂²	—	2	2	no	—
1362	C₂²	—	2	2	no	—
1363	C₂²	—	2	2	no	—
1364	C₂²	—	2	2	no	—
1365	C₂²	—	4	1	no	—
1366	C₂²	—	4	2	no	—
1367	C₂²	—	4	1	no	—
1368	C₂²	—	4	1	no	—
1369	C₂²	—	4	2	no	—
1370	C₂²	—	8	1	no	—
1371	C₂²	—	8	1	no	—
1372	C₂²	—	8	1	no	—
1373	C₂²	—	8	1	no	—
1374	C₂²	—	8	2	no	—
1375	C₂²	—	8	1	no	—
1376	C₂²	—	8	2	no	—
1377	C₂²	—	16	1	no	—
1378	C₂²	—	16	2	no	—
1379	C₂²	—	16	2	no	—
1380	C₂²	—	16	4	no	—
1381	C₂²	D₄²×C₁₃	1	1	yes	characteristic
1382	C₂²	D₄²×C₁₃	1	1	yes	characteristic
1383	C₂²	C₂×C₁₃×H(5,𝔽₂)	1	1	yes	characteristic
1384	C₄	—	2	2	no	—
1385	C₄	—	2	2	no	—
1386	C₄	—	2	2	no	—
1387	C₄	—	2	2	no	—
1388	C₄	—	4	2	no	—
1389	C₄	—	4	1	no	—
1390	C₄	—	4	1	no	—
1391	C₄	—	4	2	no	—
1392	C₄	D₄²×C₁₃	1	1	yes	characteristic
1393	C₄	D₄²×C₁₃	1	1	yes	characteristic
1394	C₄	C₂³×D₄×C₁₃	1	1	yes	characteristic
1395	C₄	C₂³×D₄×C₁₃	1	1	yes	characteristic
1396	C₂	—	2	1	no	—
1397	C₂	—	2	1	no	—
1398	C₂	—	2	1	no	—
1399	C₂	—	4	2	no	—
1400	C₂	—	4	2	no	—
1401	C₂	—	4	2	no	—
1402	C₂	—	4	2	no	—
1403	C₂	—	8	2	no	—
1404	C₂	—	8	1	no	—
1405	C₂	—	8	1	no	—
1406	C₂	C₂×D₄²×C₁₃	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂×C₁₃	C₂×D₄²
commutator, Frattini, cosocle	C₂×C₄	C₂⁵×C₁₃
LCS	G ▷ C₂×C₄ ▷ C₂ ▷ C₁
UCS	C₁ ◁ C₂×C₁₃ ◁ C₂²×C₄×C₁₃ ◁ G

Complements

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

N	H ≅ G/N	type
1. C₁₃×#3586	C₂	semidirect
2. C₁₃×#3585	C₂	semidirect
3. C₁₃×#3584	C₂	semidirect
4. C₂×C₁₃×#577	C₂	semidirect
5. C₁₃×#3291	C₂	semidirect
6. C₁₃×#3290	C₂	semidirect
7. C₁₃×#3289	C₂	semidirect
8. C₁₃×#3288	C₂	semidirect
9. C₁₃×#3154	C₂	semidirect
10. C₁₃×#3069	C₂	semidirect
11. C₁₃×#3068	C₂	semidirect
12. C₁₃×#3067	C₂	semidirect
13. C₂×C₁₃×#471	C₂	semidirect
14. C₁₃×#3022	C₂	semidirect
15. C₁₃×#3021	C₂	semidirect
16. C₁₃×#3020	C₂	semidirect
17. C₁₃×#3019	C₂	semidirect
18. C₁₃×#2957	C₂	semidirect
19. C₁₃×#2955	C₂	semidirect
21. C₁₃×#585	C₂²	semidirect
22. C₂×C₁₃×2₋¹⁺⁴	C₂²	semidirect
23. C₂×C₁₃×H(5,𝔽₂)	C₂²	semidirect
26. C₁₃×#578	C₂²	semidirect
27. C₁₃×#578	C₂²	semidirect
34. C₁₃×#577	C₂²	semidirect
35. C₁₃×#577	C₂²	semidirect
36. C₁₃×#577	C₂²	semidirect
37. C₁₃×#577	C₂²	semidirect
38. C₁₃×#577	C₂²	semidirect
39. C₁₃×#577	C₂²	semidirect
42. C₁₃×#576	C₂²	semidirect
43. C₁₃×#576	C₂²	semidirect
49. C₁₃×#575	C₂²	semidirect
50. C₁₃×#575	C₂²	semidirect
51. C₁₃×#575	C₂²	semidirect
54. C₂×C₁₃×#137	C₂²	semidirect
55. C₂×C₁₃×#137	C₂²	semidirect
56. C₂×C₁₃×#137	C₂²	semidirect
60. C₂×C₁₃×AGL(1,ℤ/8)	C₂²	semidirect
61. C₂×C₁₃×AGL(1,ℤ/8)	C₂²	semidirect
65. C₂×C₁₃×#135	C₂²	semidirect
67. C₂²×C₁₃×SD₁₆	C₂²	semidirect
68. C₁₃×#568	C₂²	semidirect
69. C₁₃×#568	C₂²	semidirect
70. C₂×C₁₃×#131	C₂²	semidirect
71. C₂×C₁₃×#131	C₂²	semidirect
72. C₁₃×#536	C₂²	semidirect
73. C₁₃×#535	C₂²	semidirect
74. C₁₃×#497	C₂²	semidirect
75. C₁₃×#496	C₂²	semidirect
76. C₁₃×#495	C₂²	semidirect
77. C₁₃×#492	C₂²	semidirect
78. C₁₃×#473	C₂²	semidirect
79. C₁₃×#473	C₂²	semidirect
80. C₁₃×#472	C₂²	semidirect
81. C₁₃×#472	C₂²	semidirect
82. C₁₃×#471	C₂²	semidirect
83. C₁₃×#471	C₂²	semidirect
84. C₁₃×#471	C₂²	semidirect
85. C₁₃×#471	C₂²	semidirect
86. C₁₃×#471	C₂²	semidirect
87. C₁₃×#471	C₂²	semidirect
88. C₁₃×#456	C₂²	semidirect
89. C₁₃×#456	C₂²	semidirect
90. C₁₃×#455	C₂²	semidirect
91. C₁₃×#455	C₂²	semidirect
92. C₁₃×#454	C₂²	semidirect
93. C₁₃×#454	C₂²	semidirect
94. C₁₃×#453	C₂²	semidirect
95. C₁₃×#453	C₂²	semidirect
96. C₁₃×#444	C₂²	semidirect
97. C₁₃×#444	C₂²	semidirect
98. C₁₃×#443	C₂²	semidirect
99. C₁₃×#443	C₂²	semidirect
100. C₁₃×#430	C₂²	semidirect
101. C₂×C₁₃×#108	C₂²	semidirect
102. C₁₃×#421	C₂²	semidirect
103. C₁₃×#421	C₂²	semidirect
104. C₁₃×#421	C₂²	semidirect
105. C₁₃×#421	C₂²	semidirect
106. C₁₃×#413	C₂²	semidirect
107. C₁₃×#413	C₂²	semidirect
108. C₂×C₁₃×#101	C₂²	semidirect
109. C₂×C₁₃×#100	C₂²	semidirect
110. C₁₃×#405	C₂²	semidirect
120. C₁₃×2₋¹⁺⁴	C₂³	semidirect
132. C₁₃×H(5,𝔽₂)	C₂³	semidirect
175. C₁₃×#137	D₄	semidirect
176. C₁₃×#137	D₄	semidirect
181. C₁₃×#137	C₂³	semidirect
182. C₁₃×#137	C₂³	semidirect
201. C₁₃×AGL(1,ℤ/8)	D₄	semidirect
202. C₁₃×AGL(1,ℤ/8)	D₄	semidirect
208. C₁₃×AGL(1,ℤ/8)	C₂³	semidirect
227. C₁₃×#135	D₄	semidirect
228. C₁₃×#135	D₄	semidirect
236. C₂×C₁₃×Q₁₆	D₄	semidirect
237. C₂×C₁₃×Q₁₆	C₂³	semidirect
238. C₂×C₁₃×Q₁₆	C₂³	semidirect
253. C₂×C₁₃×SD₁₆	D₄	semidirect
254. C₂×C₁₃×SD₁₆	D₄	semidirect
258. C₂×C₁₃×SD₁₆	C₂³	semidirect
259. C₂×C₁₃×SD₁₆	C₂³	semidirect
260. C₂×C₁₃×SD₁₆	C₂³	semidirect
265. C₂×C₁₃×D₈	D₄	semidirect
267. C₂×C₁₃×D₈	C₂³	semidirect
277. C₁₃×#131	C₂³	semidirect
278. C₁₃×#131	C₂³	semidirect
279. C₁₃×#131	C₂³	semidirect
292. C₁₃×C₄⋊Q₈	C₂³	semidirect
295. C₁₃×#124	C₂³	semidirect
301. C₁₃×#108	C₂³	semidirect
302. C₁₃×#108	C₂³	semidirect
303. C₁₃×#108	C₂³	semidirect
306. C₁₃×#104	C₂³	semidirect
307. C₁₃×#104	C₂³	semidirect
308. C₁₃×#101	C₂³	semidirect
309. C₁₃×#101	C₂³	semidirect
310. C₁₃×#101	C₂³	semidirect
312. C₁₃×#100	C₂³	semidirect
313. C₁₃×#100	C₂³	semidirect
314. C₁₃×#97	C₂³	semidirect
315. C₄×C₈×C₁₃	C₂³	semidirect
316. #61107	C₁₃	direct (N × H)
540. #3586	C₂×C₁₃	semidirect
541. #3585	C₂×C₁₃	semidirect
542. #3584	C₂×C₁₃	semidirect
543. C₂×#577	C₂×C₁₃	semidirect
544. #3291	C₂×C₁₃	semidirect
545. #3290	C₂×C₁₃	semidirect
546. #3289	C₂×C₁₃	semidirect
547. #3288	C₂×C₁₃	semidirect
548. #3154	C₂×C₁₃	semidirect
549. #3069	C₂×C₁₃	semidirect
550. #3068	C₂×C₁₃	semidirect
551. #3067	C₂×C₁₃	semidirect
552. C₂×#471	C₂×C₁₃	semidirect
553. #3022	C₂×C₁₃	semidirect
554. #3021	C₂×C₁₃	semidirect
555. #3020	C₂×C₁₃	semidirect
556. #3019	C₂×C₁₃	semidirect
557. #2957	C₂×C₁₃	semidirect
558. #2955	C₂×C₁₃	semidirect
678. #585	C₂²×C₁₃	semidirect
679. C₂×2₋¹⁺⁴	C₂²×C₁₃	semidirect
680. C₂×H(5,𝔽₂)	C₂²×C₁₃	semidirect
683. #578	C₂²×C₁₃	semidirect
684. #578	C₂²×C₁₃	semidirect
691. #577	C₂²×C₁₃	semidirect
692. #577	C₂²×C₁₃	semidirect
693. #577	C₂²×C₁₃	semidirect
694. #577	C₂²×C₁₃	semidirect
695. #577	C₂²×C₁₃	semidirect
696. #577	C₂²×C₁₃	semidirect
699. #576	C₂²×C₁₃	semidirect
700. #576	C₂²×C₁₃	semidirect
706. #575	C₂²×C₁₃	semidirect
707. #575	C₂²×C₁₃	semidirect
708. #575	C₂²×C₁₃	semidirect
711. C₂×#137	C₂²×C₁₃	semidirect
712. C₂×#137	C₂²×C₁₃	semidirect
713. C₂×#137	C₂²×C₁₃	semidirect
717. C₂×AGL(1,ℤ/8)	C₂²×C₁₃	semidirect
718. C₂×AGL(1,ℤ/8)	C₂²×C₁₃	semidirect
722. C₂×#135	C₂²×C₁₃	semidirect
724. C₂²×SD₁₆	C₂²×C₁₃	semidirect
725. #568	C₂²×C₁₃	semidirect
726. #568	C₂²×C₁₃	semidirect
727. C₂×#131	C₂²×C₁₃	semidirect
728. C₂×#131	C₂²×C₁₃	semidirect
729. #536	C₂²×C₁₃	semidirect
730. #535	C₂²×C₁₃	semidirect
731. #497	C₂²×C₁₃	semidirect
732. #496	C₂²×C₁₃	semidirect
733. #495	C₂²×C₁₃	semidirect
734. #492	C₂²×C₁₃	semidirect
735. #473	C₂²×C₁₃	semidirect
736. #473	C₂²×C₁₃	semidirect
737. #472	C₂²×C₁₃	semidirect
738. #472	C₂²×C₁₃	semidirect
739. #471	C₂²×C₁₃	semidirect
740. #471	C₂²×C₁₃	semidirect
741. #471	C₂²×C₁₃	semidirect
742. #471	C₂²×C₁₃	semidirect
743. #471	C₂²×C₁₃	semidirect
744. #471	C₂²×C₁₃	semidirect
745. #456	C₂²×C₁₃	semidirect
746. #456	C₂²×C₁₃	semidirect
747. #455	C₂²×C₁₃	semidirect
748. #455	C₂²×C₁₃	semidirect
749. #454	C₂²×C₁₃	semidirect
750. #454	C₂²×C₁₃	semidirect
751. #453	C₂²×C₁₃	semidirect
752. #453	C₂²×C₁₃	semidirect
753. #444	C₂²×C₁₃	semidirect
754. #444	C₂²×C₁₃	semidirect
755. #443	C₂²×C₁₃	semidirect
756. #443	C₂²×C₁₃	semidirect
757. #430	C₂²×C₁₃	semidirect
758. C₂×#108	C₂²×C₁₃	semidirect
759. #421	C₂²×C₁₃	semidirect
760. #421	C₂²×C₁₃	semidirect
761. #421	C₂²×C₁₃	semidirect
762. #421	C₂²×C₁₃	semidirect
763. #413	C₂²×C₁₃	semidirect
764. #413	C₂²×C₁₃	semidirect
765. C₂×#101	C₂²×C₁₃	semidirect
766. C₂×#100	C₂²×C₁₃	semidirect
767. #405	C₂²×C₁₃	semidirect
812. 2₋¹⁺⁴	C₂³×C₁₃	semidirect
824. H(5,𝔽₂)	C₂³×C₁₃	semidirect
867. #137	D₄×C₁₃	semidirect
868. #137	D₄×C₁₃	semidirect
873. #137	C₂³×C₁₃	semidirect
874. #137	C₂³×C₁₃	semidirect
893. AGL(1,ℤ/8)	D₄×C₁₃	semidirect
894. AGL(1,ℤ/8)	D₄×C₁₃	semidirect
900. AGL(1,ℤ/8)	C₂³×C₁₃	semidirect
919. #135	D₄×C₁₃	semidirect
920. #135	D₄×C₁₃	semidirect
928. C₂×Q₁₆	D₄×C₁₃	semidirect
929. C₂×Q₁₆	C₂³×C₁₃	semidirect
930. C₂×Q₁₆	C₂³×C₁₃	semidirect
945. C₂×SD₁₆	D₄×C₁₃	semidirect
946. C₂×SD₁₆	D₄×C₁₃	semidirect
950. C₂×SD₁₆	C₂³×C₁₃	semidirect
951. C₂×SD₁₆	C₂³×C₁₃	semidirect
952. C₂×SD₁₆	C₂³×C₁₃	semidirect
957. C₂×D₈	D₄×C₁₃	semidirect
959. C₂×D₈	C₂³×C₁₃	semidirect
969. #131	C₂³×C₁₃	semidirect
970. #131	C₂³×C₁₃	semidirect
971. #131	C₂³×C₁₃	semidirect
984. C₄⋊Q₈	C₂³×C₁₃	semidirect
987. #124	C₂³×C₁₃	semidirect
993. #108	C₂³×C₁₃	semidirect
994. #108	C₂³×C₁₃	semidirect
995. #108	C₂³×C₁₃	semidirect
998. #104	C₂³×C₁₃	semidirect
999. #104	C₂³×C₁₃	semidirect
1000. #101	C₂³×C₁₃	semidirect
1001. #101	C₂³×C₁₃	semidirect
1002. #101	C₂³×C₁₃	semidirect
1004. #100	C₂³×C₁₃	semidirect
1005. #100	C₂³×C₁₃	semidirect
1006. #97	C₂³×C₁₃	semidirect
1007. C₄×C₈	C₂³×C₁₃	semidirect
1242. C₁₃	#61107	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×#3586	2
C₁₃×#3585	2
C₁₃×#3584	2
C₂×C₁₃×#577	2
C₁₃×#3291	2
C₁₃×#3290	2
C₁₃×#3289	2
C₁₃×#3288	2
C₁₃×#3154	2
C₁₃×#3069	2
C₁₃×#3068	2
C₁₃×#3067	2
C₂×C₁₃×#471	2
C₁₃×#3022	2
C₁₃×#3021	2
C₁₃×#3020	2
C₁₃×#3019	2
C₁₃×#2957	2
C₁₃×#2955	2
#61107	13

Subgroups — C13×#61107 #15747446

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₃×#61107 #15747446