Subgroups — C₁₃×#61594 #15747933

Order 3328.

2174 conjugacy classes of subgroups.

The subgroup lattice has 1420 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₁₃×#3519	C₂	1	1	yes	maximal, characteristic, complemented
2	C₂×C₁₃×#548	C₂	1	1	yes	maximal, characteristic, complemented
3	C₁₃×#3326	C₂	1	2	yes	maximal, complemented
4	C₁₃×#3321	C₂	1	2	yes	maximal, complemented
5	C₁₃×#3316	C₂	1	2	yes	maximal, complemented
6	C₁₃×#3301	C₂	1	2	yes	maximal, complemented
7	C₁₃×#3282	C₂	1	2	yes	maximal, complemented
8	C₁₃×#3275	C₂	1	2	yes	maximal, complemented
9	C₁₃×#3271	C₂	1	2	yes	maximal, complemented
10	C₁₃×#3265	C₂	1	2	yes	maximal, complemented
11	C₁₃×#3213	C₂	1	1	yes	maximal, characteristic, complemented
12	C₁₃×#3211	C₂	1	1	yes	maximal, characteristic, complemented
13	C₁₃×#3196	C₂	1	1	yes	maximal, characteristic, complemented
14	C₁₃×#3192	C₂	1	1	yes	maximal, characteristic, complemented
15	C₁₃×#3188	C₂	1	1	yes	maximal, characteristic, complemented
16	C₁₃×#3187	C₂	1	1	yes	maximal, characteristic, complemented
17	C₁₃×#3117	C₂	1	1	yes	maximal, characteristic, complemented
18	C₁₃×#3103	C₂	1	1	yes	maximal, characteristic, complemented
19	C₁₃×#3006	C₂	1	1	yes	maximal, characteristic, complemented
20	C₁₃×#3004	C₂	1	1	yes	maximal, characteristic, complemented
21	C₁₃×#3002	C₂	1	1	yes	maximal, characteristic, complemented
22	C₂×C₁₃×#448	C₂	1	1	yes	maximal, characteristic, complemented
23	C₁₃×#2974	C₂	1	1	yes	maximal, characteristic, complemented
24	C₂²×C₁₃×#41	C₂²	1	1	yes	characteristic, complemented
25	C₂³×Q₈×C₁₃	C₂²	1	1	yes	characteristic, complemented
26	C₂×C₁₃×#137	C₂²	1	2	yes	complemented
27	C₂×C₁₃×AGL(1,ℤ/8)	C₂²	1	2	yes	complemented
28	C₂×C₁₃×#135	C₂²	1	2	yes	complemented
29	C₂²×C₁₃×SD₁₆	C₂²	1	2	yes	complemented
30	C₁₃×#555	C₂²	1	1	yes	characteristic, complemented
31	C₁₃×#554	C₂²	1	1	yes	characteristic, complemented
32	C₁₃×#553	—	2	1	no	—
33	C₁₃×#553	C₂²	1	1	yes	characteristic, complemented
34	C₁₃×#553	C₂²	1	1	yes	characteristic, complemented
35	C₁₃×#550	C₂²	1	1	yes	characteristic, complemented
36	C₁₃×#548	—	2	1	no	—
37	C₁₃×#548	—	2	1	no	—
38	C₁₃×#548	—	2	1	no	—
39	C₁₃×#548	—	2	1	no	—
40	C₁₃×#548	C₂²	1	2	yes	—
41	C₁₃×#548	C₂²	1	2	yes	complemented
42	C₁₃×#548	C₂²	1	2	yes	complemented
43	C₁₃×#548	C₂²	1	2	yes	complemented
44	C₁₃×#546	—	2	1	no	—
45	C₁₃×#546	—	2	1	no	—
46	C₁₃×#546	C₂²	1	1	yes	characteristic, complemented
47	C₁₃×#546	C₂²	1	1	yes	characteristic, complemented
48	D₄²×C₁₃	—	2	1	no	—
49	D₄²×C₁₃	C₂²	1	1	yes	characteristic, complemented
50	C₁₃×#540	—	2	1	no	—
51	C₁₃×#538	—	2	1	no	—
52	C₁₃×#538	—	2	1	no	—
53	C₁₃×#532	C₂²	1	1	yes	characteristic
54	C₁₃×#529	C₂²	1	1	yes	characteristic
55	C₂×C₁₃×#124	—	2	1	no	—
56	C₂×C₁₃×#124	C₂²	1	1	yes	characteristic, complemented
57	C₁₃×#525	C₂²	1	1	yes	characteristic
58	C₁₃×#525	C₂²	1	1	yes	characteristic
59	C₂×C₁₃×C₂²⋊Q₈	—	2	1	no	—
60	C₂×C₁₃×C₂²⋊Q₈	C₂²	1	1	yes	characteristic, complemented
61	C₂×C₁₃×#121	—	2	1	no	—
62	C₂×C₁₃×#121	C₂²	1	1	yes	characteristic
63	C₂×C₁₃×#121	C₂²	1	1	yes	characteristic
64	C₂×C₁₃×#121	C₂²	1	1	yes	characteristic, complemented
65	C₁₃×#518	—	2	1	no	—
66	C₂×C₄×Q₈×C₁₃	C₂²	1	1	yes	characteristic, complemented
67	C₂×C₄×D₄×C₁₃	—	2	1	no	—
68	C₂×C₄×D₄×C₁₃	C₂²	1	1	yes	characteristic
69	C₁₃×#496	C₂²	1	2	yes	complemented
70	C₁₃×#495	C₂²	1	2	yes	complemented
71	C₁₃×#489	C₂²	1	2	yes	complemented
72	C₁₃×#488	C₂²	1	2	yes	complemented
73	C₁₃×#485	C₂²	1	2	yes	complemented
74	C₁₃×#484	C₂²	1	1	yes	characteristic, complemented
75	C₁₃×#483	C₂²	1	2	yes	complemented
76	C₁₃×#482	C₂²	1	2	yes	complemented
77	C₁₃×#481	C₂²	1	1	yes	characteristic
78	C₁₃×#481	C₂²	1	2	yes	complemented
79	C₁₃×#481	C₂²	1	1	yes	characteristic, complemented
80	C₁₃×#481	C₂²	1	1	yes	characteristic, complemented
81	C₁₃×#479	C₂²	1	2	yes	complemented
82	C₁₃×#475	C₂²	1	2	yes	complemented
83	C₁₃×#470	C₂²	1	2	yes	complemented
84	C₁₃×#469	C₂²	1	2	yes	complemented
85	C₁₃×#469	C₂²	1	2	yes	complemented
86	C₁₃×#468	C₂²	1	2	yes	complemented
87	C₁₃×#466	C₂²	1	2	yes	complemented
88	C₁₃×#465	C₂²	1	2	yes	complemented
89	C₁₃×#465	C₂²	1	2	yes	complemented
90	C₁₃×#465	C₂²	1	2	yes	complemented
91	C₁₃×#464	C₂²	1	2	yes	complemented
92	C₁₃×#464	C₂²	1	2	yes	complemented
93	C₁₃×#463	C₂²	1	2	yes	complemented
94	C₁₃×#463	C₂²	1	2	yes	complemented
95	C₁₃×#463	C₂²	1	2	yes	complemented
96	C₁₃×#460	C₂²	1	2	yes	complemented
97	C₁₃×#452	C₂²	1	2	yes	complemented
98	C₁₃×#452	C₂²	1	2	yes	complemented
99	C₁₃×#451	C₂²	1	2	yes	complemented
100	C₁₃×#451	C₂²	1	1	yes	characteristic, complemented
101	C₁₃×#451	C₂²	1	1	yes	characteristic, complemented
102	C₁₃×#450	C₂²	1	2	yes	complemented
103	C₁₃×#450	C₂²	1	1	yes	characteristic, complemented
104	C₁₃×#449	C₂²	1	2	yes	complemented
105	C₁₃×#449	C₂²	1	2	yes	complemented
106	C₁₃×#449	C₂²	1	2	yes	complemented
107	C₁₃×#449	C₂²	1	2	yes	complemented
108	C₁₃×#448	C₂²	1	1	yes	characteristic
109	C₁₃×#448	C₂²	1	1	yes	characteristic
110	C₁₃×#448	C₂²	1	1	yes	characteristic, complemented
111	C₁₃×#448	C₂²	1	2	yes	complemented
112	C₁₃×#448	C₂²	1	2	yes	complemented
113	C₁₃×#448	C₂²	1	2	yes	complemented
114	C₁₃×#448	C₂²	1	1	yes	characteristic, complemented
115	C₁₃×#448	C₂²	1	1	yes	characteristic, complemented
116	C₁₃×#448	C₂²	1	1	yes	characteristic, complemented
117	C₁₃×#447	C₂²	1	1	yes	characteristic
118	C₁₃×#447	C₂²	1	1	yes	characteristic, complemented
119	C₁₃×#447	C₂²	1	2	yes	complemented
120	C₁₃×#447	C₂²	1	1	yes	characteristic, complemented
121	C₁₃×#441	C₂²	1	2	yes	complemented
122	C₁₃×#440	C₂²	1	2	yes	complemented
123	C₄×C₁₃×SD₁₆	C₂²	1	2	yes	complemented
124	C₄×C₁₃×SD₁₆	C₂²	1	2	yes	complemented
125	C₁₃×#436	C₂²	1	2	yes	complemented
126	C₁₃×#435	C₂²	1	2	yes	complemented
127	C₁₃×#435	C₂²	1	2	yes	complemented
128	C₈×D₄×C₁₃	C₂²	1	2	yes	complemented
129	C₁₃×#432	C₂²	1	1	yes	characteristic, complemented
130	C₁₃×#431	C₂²	1	1	yes	characteristic, complemented
131	C₁₃×#419	C₂²	1	2	yes	complemented
132	C₁₃×#417	C₂²	1	2	yes	complemented
133	C₁₃×#416	C₂²	1	2	yes	complemented
134	C₂×C₁₃×#103	C₂²	1	2	yes	complemented
135	C₁₃×#407	C₂²	1	1	yes	characteristic, complemented
136	C₁₃×#407	C₂²	1	1	yes	characteristic, complemented
137	C₂×C₁₃×C₂²⋊C₈	C₂²	1	1	yes	characteristic, complemented
138	C₂×C₁₃×C₂²⋊C₈	C₂²	1	1	yes	characteristic, complemented
139	C₂×C₁₃×#41	—	2	1	no	—
140	C₂×C₁₃×#41	—	2	1	no	—
141	C₂×C₁₃×#41	—	2	1	no	—
142	C₂×C₁₃×#41	—	4	4	no	—
143	C₂×C₁₃×#41	C₂³	1	2	yes	—
144	C₂×C₁₃×#41	C₂³	1	2	yes	—
145	C₂×C₁₃×#41	C₂³	1	1	yes	characteristic
146	C₂×C₁₃×#41	C₂³	1	1	yes	characteristic
147	C₂²×Q₈×C₁₃	—	2	1	no	—
148	C₂²×Q₈×C₁₃	—	2	1	no	—
149	C₂²×Q₈×C₁₃	—	2	1	no	—
150	C₂²×Q₈×C₁₃	—	4	4	no	—
151	C₂²×Q₈×C₁₃	C₂³	1	1	yes	characteristic
152	C₂²×Q₈×C₁₃	C₂³	1	2	yes	—
153	C₂²×Q₈×C₁₃	C₂³	1	2	yes	—
154	C₂²×Q₈×C₁₃	C₂³	1	1	yes	characteristic
155	C₂²×D₄×C₁₃	—	2	1	no	—
156	C₂²×D₄×C₁₃	—	2	1	no	—
157	C₂²×D₄×C₁₃	—	2	1	no	—
158	C₂²×D₄×C₁₃	—	2	1	no	—
159	C₂²×D₄×C₁₃	—	2	1	no	—
160	C₂²×D₄×C₁₃	D₄	1	1	yes	characteristic
161	C₂²×D₄×C₁₃	C₂³	1	1	yes	characteristic
162	C₂²×D₄×C₁₃	C₂³	1	1	yes	characteristic
163	C₂²×D₄×C₁₃	C₂³	1	1	yes	characteristic
164	C₂³×C₄×C₁₃	—	2	1	no	—
165	C₂³×C₄×C₁₃	—	2	1	no	—
166	C₂³×C₄×C₁₃	C₂³	1	1	yes	characteristic
167	C₂³×C₄×C₁₃	C₂³	1	1	yes	characteristic
168	C₁₃×#137	—	4	4	no	—
169	C₁₃×AGL(1,ℤ/8)	—	4	4	no	—
170	C₁₃×#135	—	4	4	no	—
171	C₂×C₁₃×Q₁₆	C₂³	1	2	yes	—
172	C₂×C₁₃×Q₁₆	C₂³	1	2	yes	—
173	C₂×C₁₃×SD₁₆	—	4	4	no	—
174	C₂×C₁₃×SD₁₆	C₂³	1	2	yes	—
175	C₂×C₁₃×SD₁₆	C₂³	1	2	yes	—
176	C₂×C₁₃×SD₁₆	C₂³	1	2	yes	—
177	C₂×C₁₃×SD₁₆	C₂³	1	2	yes	—
178	C₂×C₁₃×SD₁₆	C₂³	1	2	yes	—
179	C₂×C₁₃×SD₁₆	C₂³	1	2	yes	—
180	C₂×C₁₃×SD₁₆	C₂³	1	2	yes	—
181	C₂×C₁₃×D₈	C₂³	1	2	yes	—
182	C₂×C₁₃×D₈	C₂³	1	2	yes	—
183	C₂×C₁₃×D₈	C₂³	1	2	yes	—
184	C₂×C₁₃×M₁₆	C₂³	1	2	yes	—
185	C₂×C₁₃×M₁₆	C₂³	1	2	yes	—
186	C₂²×C₈×C₁₃	C₂³	1	2	yes	—
187	C₂²×C₈×C₁₃	C₂³	1	2	yes	—
188	C₁₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
189	C₁₃×#127	—	2	1	no	—
190	C₁₃×#127	C₂³	1	1	yes	characteristic
191	C₁₃×#126	—	2	1	no	—
192	C₁₃×#126	—	2	1	no	—
193	C₁₃×#126	—	2	1	no	—
194	C₁₃×#125	—	2	1	no	—
195	C₁₃×#125	C₂³	1	1	yes	characteristic
196	C₁₃×#124	—	2	2	no	—
197	C₁₃×#124	—	2	2	no	—
198	C₁₃×#124	—	2	2	no	—
199	C₁₃×#124	—	2	2	no	—
200	C₁₃×#124	—	2	1	no	—
201	C₁₃×#124	—	2	1	no	—
202	C₁₃×#124	—	2	1	no	—
203	C₁₃×#124	—	2	1	no	—
204	C₁₃×#124	—	2	1	no	—
205	C₁₃×#124	C₂³	1	2	yes	—
206	C₁₃×#124	C₂³	1	2	yes	—
207	C₁₃×#124	C₂³	1	1	yes	characteristic
208	C₁₃×#123	—	2	1	no	—
209	C₁₃×#123	—	2	1	no	—
210	C₁₃×#123	—	2	1	no	—
211	C₁₃×#123	—	2	1	no	—
212	C₁₃×#123	—	2	1	no	—
213	C₁₃×#123	—	2	1	no	—
214	C₁₃×#123	—	2	1	no	—
215	C₁₃×C₂²⋊Q₈	—	2	1	no	—
216	C₁₃×C₂²⋊Q₈	—	2	1	no	—
217	C₁₃×C₂²⋊Q₈	—	2	2	no	—
218	C₁₃×C₂²⋊Q₈	—	2	2	no	—
219	C₁₃×C₂²⋊Q₈	—	2	2	no	—
220	C₁₃×C₂²⋊Q₈	—	2	2	no	—
221	C₁₃×C₂²⋊Q₈	—	2	1	no	—
222	C₁₃×C₂²⋊Q₈	—	2	1	no	—
223	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
224	C₁₃×C₂²⋊Q₈	C₂³	1	2	yes	—
225	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
226	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
227	C₁₃×C₂²⋊Q₈	C₂³	1	2	yes	—
228	C₁₃×#121	—	2	2	no	—
229	C₁₃×#121	—	2	2	no	—
230	C₁₃×#121	—	2	2	no	—
231	C₁₃×#121	—	2	2	no	—
232	C₁₃×#121	—	2	1	no	—
233	C₁₃×#121	—	2	1	no	—
234	C₁₃×#121	—	2	1	no	—
235	C₁₃×#121	—	2	1	no	—
236	C₁₃×#121	—	2	1	no	—
237	C₁₃×#121	—	2	1	no	—
238	C₁₃×#121	—	2	1	no	—
239	C₁₃×#121	—	2	1	no	—
240	C₁₃×#121	—	2	1	no	—
241	C₁₃×#121	—	2	1	no	—
242	C₁₃×#121	—	2	1	no	—
243	C₁₃×#121	—	2	1	no	—
244	C₁₃×#121	—	2	1	no	—
245	C₁₃×#121	—	2	1	no	—
246	C₁₃×#121	—	2	1	no	—
247	C₁₃×#121	C₂³	1	1	yes	characteristic
248	C₁₃×#121	C₂³	1	1	yes	characteristic
249	C₁₃×#121	C₂³	1	1	yes	characteristic
250	C₁₃×#121	C₂³	1	2	yes	—
251	C₁₃×#121	C₂³	1	1	yes	characteristic
252	C₁₃×#121	C₂³	1	1	yes	characteristic
253	C₁₃×#121	C₂³	1	1	yes	characteristic
254	C₁₃×#121	C₂³	1	1	yes	characteristic
255	C₁₃×#121	C₂³	1	1	yes	characteristic
256	C₁₃×#121	C₂³	1	1	yes	characteristic
257	C₁₃×#121	C₂³	1	2	yes	—
258	C₁₃×#120	—	2	1	no	—
259	C₁₃×#120	—	2	1	no	—
260	C₁₃×#120	—	2	1	no	—
261	C₁₃×#120	—	2	1	no	—
262	C₁₃×#120	—	2	1	no	—
263	C₁₃×#120	—	2	1	no	—
264	C₄×Q₈×C₁₃	—	2	1	no	—
265	C₄×Q₈×C₁₃	—	2	1	no	—
266	C₄×Q₈×C₁₃	C₂³	1	2	yes	—
267	C₄×Q₈×C₁₃	C₂³	1	2	yes	—
268	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
269	C₄×D₄×C₁₃	—	2	1	no	—
270	C₄×D₄×C₁₃	—	2	1	no	—
271	C₄×D₄×C₁₃	—	2	1	no	—
272	C₄×D₄×C₁₃	—	2	1	no	—
273	C₄×D₄×C₁₃	—	2	1	no	—
274	C₄×D₄×C₁₃	—	2	1	no	—
275	C₄×D₄×C₁₃	—	2	1	no	—
276	C₄×D₄×C₁₃	—	2	2	no	—
277	C₄×D₄×C₁₃	—	2	2	no	—
278	C₄×D₄×C₁₃	—	2	2	no	—
279	C₄×D₄×C₁₃	—	2	2	no	—
280	C₄×D₄×C₁₃	—	2	1	no	—
281	C₄×D₄×C₁₃	—	2	1	no	—
282	C₄×D₄×C₁₃	—	2	1	no	—
283	C₄×D₄×C₁₃	D₄	1	1	yes	characteristic
284	C₄×D₄×C₁₃	D₄	1	1	yes	characteristic
285	C₄×D₄×C₁₃	D₄	1	1	yes	characteristic
286	C₄×D₄×C₁₃	D₄	1	1	yes	characteristic
287	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
288	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
289	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
290	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
291	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
292	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
293	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
294	C₁₃×#117	—	2	1	no	—
295	C₁₃×#117	—	2	1	no	—
296	C₁₃×#117	C₂³	1	1	yes	characteristic
297	C₁₃×#117	C₂³	1	1	yes	characteristic
298	C₂×C₁₃×C₄⋊C₄	—	2	1	no	—
299	C₂×C₁₃×C₄⋊C₄	—	2	1	no	—
300	C₂×C₁₃×C₄⋊C₄	D₄	1	1	yes	characteristic
301	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
302	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
303	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
304	C₂×C₁₃×C₂²⋊C₄	—	2	1	no	—
305	C₂×C₁₃×C₂²⋊C₄	—	2	1	no	—
306	C₂×C₁₃×C₂²⋊C₄	—	2	1	no	—
307	C₂×C₁₃×C₂²⋊C₄	—	2	1	no	—
308	C₂×C₁₃×C₂²⋊C₄	—	2	1	no	—
309	C₂×C₁₃×C₂²⋊C₄	—	2	1	no	—
310	C₂×C₁₃×C₂²⋊C₄	—	2	1	no	—
311	C₂×C₁₃×C₂²⋊C₄	—	2	1	no	—
312	C₂×C₁₃×C₂²⋊C₄	D₄	1	1	yes	characteristic
313	C₂×C₁₃×C₂²⋊C₄	D₄	1	1	yes	characteristic
314	C₂×C₄²×C₁₃	—	2	1	no	—
315	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
316	C₁₃×#107	C₂³	1	2	yes	—
317	C₁₃×#106	C₂³	1	2	yes	—
318	C₁₃×#106	C₂³	1	2	yes	—
319	C₁₃×#106	C₂³	1	2	yes	—
320	C₁₃×C₄⋊C₈	C₂³	1	2	yes	—
321	C₁₃×C₄⋊C₈	C₂³	1	2	yes	—
322	C₁₃×#103	C₂³	1	2	yes	—
323	C₁₃×#103	C₂³	1	2	yes	—
324	C₁₃×#103	C₂³	1	2	yes	—
325	C₁₃×#103	C₂³	1	2	yes	—
326	C₁₃×#103	C₂³	1	2	yes	—
327	C₁₃×#103	C₂³	1	2	yes	—
328	C₁₃×#103	C₂³	1	2	yes	—
329	C₁₃×#103	C₂³	1	2	yes	—
330	C₁₃×#103	C₂³	1	2	yes	—
331	C₁₃×#102	C₂³	1	2	yes	—
332	C₁₃×#102	C₂³	1	2	yes	—
333	C₁₃×#102	C₂³	1	2	yes	—
334	C₁₃×#102	C₂³	1	2	yes	—
335	C₁₃×#102	C₂³	1	2	yes	—
336	C₁₃×#102	C₂³	1	2	yes	—
337	C₁₃×#102	C₂³	1	2	yes	—
338	C₁₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
339	C₁₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
340	C₁₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
341	C₁₃×C₂²⋊C₈	C₂³	1	2	yes	—
342	C₁₃×C₂²⋊C₈	C₂³	1	2	yes	—
343	C₁₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
344	C₁₃×C₂²⋊C₈	C₂³	1	2	yes	—
345	C₁₃×C₂²⋊C₈	C₂³	1	2	yes	—
346	C₁₃×#97	C₂³	1	2	yes	—
347	C₄×C₈×C₁₃	C₂³	1	2	yes	—
348	#61594	C₁₃	1	1	yes	maximal, characteristic, direct product factor, Sylow
349	C₂⁴×C₁₃	—	2	1	no	—
350	C₂⁴×C₁₃	—	2	1	no	—
351	C₂⁴×C₁₃	—	2	1	no	—
352	C₂⁴×C₁₃	C₂×D₄	1	1	yes	characteristic
353	C₂⁴×C₁₃	C₂×D₄	1	1	yes	characteristic
354	C₁₃×#41	—	2	4	no	—
355	C₁₃×#41	—	2	4	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	4	no	—
362	C₁₃×#41	—	8	2	no	—
363	C₂×Q₈×C₁₃	—	2	4	no	—
364	C₂×Q₈×C₁₃	—	2	1	no	—
365	C₂×Q₈×C₁₃	—	2	2	no	—
366	C₂×Q₈×C₁₃	—	2	2	no	—
367	C₂×Q₈×C₁₃	—	2	1	no	—
368	C₂×Q₈×C₁₃	—	2	1	no	—
369	C₂×Q₈×C₁₃	—	2	4	no	—
370	C₂×Q₈×C₁₃	—	2	4	no	—
371	C₂×Q₈×C₁₃	—	4	2	no	—
372	C₂×Q₈×C₁₃	—	4	2	no	—
373	C₂×Q₈×C₁₃	—	4	2	no	—
374	C₂×Q₈×C₁₃	—	4	4	no	—
375	C₂×Q₈×C₁₃	—	4	4	no	—
376	C₂×Q₈×C₁₃	—	4	4	no	—
377	C₂×Q₈×C₁₃	C₂⁴	1	2	yes	—
378	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
379	C₂×Q₈×C₁₃	C₂⁴	1	2	yes	—
380	C₂×D₄×C₁₃	—	2	1	no	—
381	C₂×D₄×C₁₃	—	2	1	no	—
382	C₂×D₄×C₁₃	—	2	2	no	—
383	C₂×D₄×C₁₃	—	2	2	no	—
384	C₂×D₄×C₁₃	—	2	1	no	—
385	C₂×D₄×C₁₃	—	2	1	no	—
386	C₂×D₄×C₁₃	—	2	1	no	—
387	C₂×D₄×C₁₃	—	2	2	no	—
388	C₂×D₄×C₁₃	—	2	2	no	—
389	C₂×D₄×C₁₃	—	2	1	no	—
390	C₂×D₄×C₁₃	—	2	1	no	—
391	C₂×D₄×C₁₃	—	2	1	no	—
392	C₂×D₄×C₁₃	—	2	1	no	—
393	C₂×D₄×C₁₃	—	2	1	no	—
394	C₂×D₄×C₁₃	—	2	1	no	—
395	C₂×D₄×C₁₃	—	2	1	no	—
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	—	4	2	no	—
401	C₂×D₄×C₁₃	—	4	2	no	—
402	C₂×D₄×C₁₃	—	4	2	no	—
403	C₂×D₄×C₁₃	—	4	4	no	—
404	C₂×D₄×C₁₃	—	4	2	no	—
405	C₂×D₄×C₁₃	—	4	4	no	—
406	C₂×D₄×C₁₃	—	4	4	no	—
407	C₂×D₄×C₁₃	—	8	2	no	—
408	C₂×D₄×C₁₃	—	8	2	no	—
409	C₂×D₄×C₁₃	C₂×D₄	1	1	yes	characteristic
410	C₂×D₄×C₁₃	C₂×D₄	1	1	yes	characteristic
411	C₂×D₄×C₁₃	C₂×D₄	1	1	yes	characteristic
412	C₂×D₄×C₁₃	C₂×D₄	1	1	yes	characteristic
413	C₂×D₄×C₁₃	C₂⁴	1	2	yes	—
414	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
415	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
416	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
417	C₂²×C₄×C₁₃	—	2	1	no	—
418	C₂²×C₄×C₁₃	—	2	1	no	—
419	C₂²×C₄×C₁₃	—	2	1	no	—
420	C₂²×C₄×C₁₃	—	2	2	no	—
421	C₂²×C₄×C₁₃	—	2	2	no	—
422	C₂²×C₄×C₁₃	—	2	1	no	—
423	C₂²×C₄×C₁₃	—	2	1	no	—
424	C₂²×C₄×C₁₃	—	2	1	no	—
425	C₂²×C₄×C₁₃	—	2	2	no	—
426	C₂²×C₄×C₁₃	—	2	2	no	—
427	C₂²×C₄×C₁₃	—	2	1	no	—
428	C₂²×C₄×C₁₃	—	2	1	no	—
429	C₂²×C₄×C₁₃	—	2	1	no	—
430	C₂²×C₄×C₁₃	—	2	1	no	—
431	C₂²×C₄×C₁₃	—	4	2	no	—
432	C₂²×C₄×C₁₃	—	4	2	no	—
433	C₂²×C₄×C₁₃	—	4	4	no	—
434	C₂²×C₄×C₁₃	—	4	4	no	—
435	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
436	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
437	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
438	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
439	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
440	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
441	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
442	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
443	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
444	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
445	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
446	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
447	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
448	C₁₃×Q₁₆	—	2	4	no	—
449	C₁₃×Q₁₆	—	4	2	no	—
450	C₁₃×SD₁₆	—	2	4	no	—
451	C₁₃×SD₁₆	—	2	4	no	—
452	C₁₃×SD₁₆	—	2	4	no	—
453	C₁₃×SD₁₆	—	4	2	no	—
454	C₁₃×SD₁₆	—	4	2	no	—
455	C₁₃×SD₁₆	—	4	2	no	—
456	C₁₃×SD₁₆	—	4	2	no	—
457	C₁₃×D₈	—	4	2	no	—
458	C₁₃×D₈	—	4	2	no	—
459	C₁₃×D₈	—	4	2	no	—
460	C₁₃×M₁₆	—	4	2	no	—
461	C₁₃×M₁₆	—	4	2	no	—
462	C₂×C₈×C₁₃	—	4	2	no	—
463	C₂×C₈×C₁₃	—	4	2	no	—
464	C₂×C₈×C₁₃	C₂⁴	1	2	yes	—
465	C₂×C₈×C₁₃	C₂⁴	1	2	yes	—
466	C₂×C₈×C₁₃	C₂⁴	1	2	yes	—
467	C₂×C₈×C₁₃	C₂⁴	1	2	yes	—
468	C₁₃×C₄⋊C₄	—	2	2	no	—
469	C₁₃×C₄⋊C₄	—	2	2	no	—
470	C₁₃×C₄⋊C₄	—	2	2	no	—
471	C₁₃×C₄⋊C₄	—	2	2	no	—
472	C₁₃×C₄⋊C₄	—	2	1	no	—
473	C₁₃×C₄⋊C₄	—	2	1	no	—
474	C₁₃×C₄⋊C₄	—	2	1	no	—
475	C₁₃×C₄⋊C₄	—	2	1	no	—
476	C₁₃×C₄⋊C₄	—	2	1	no	—
477	C₁₃×C₄⋊C₄	—	2	1	no	—
478	C₁₃×C₄⋊C₄	—	2	1	no	—
479	C₁₃×C₄⋊C₄	—	2	1	no	—
480	C₁₃×C₄⋊C₄	—	2	1	no	—
481	C₁₃×C₄⋊C₄	—	2	1	no	—
482	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
483	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
484	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
485	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
486	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
487	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
488	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
489	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
490	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
491	C₁₃×C₂²⋊C₄	—	2	1	no	—
492	C₁₃×C₂²⋊C₄	—	2	1	no	—
493	C₁₃×C₂²⋊C₄	—	2	2	no	—
494	C₁₃×C₂²⋊C₄	—	2	2	no	—
495	C₁₃×C₂²⋊C₄	—	2	1	no	—
496	C₁₃×C₂²⋊C₄	—	2	1	no	—
497	C₁₃×C₂²⋊C₄	—	2	1	no	—
498	C₁₃×C₂²⋊C₄	—	2	1	no	—
499	C₁₃×C₂²⋊C₄	—	2	1	no	—
500	C₁₃×C₂²⋊C₄	—	2	1	no	—
501	C₁₃×C₂²⋊C₄	—	2	1	no	—
502	C₁₃×C₂²⋊C₄	—	2	1	no	—
503	C₁₃×C₂²⋊C₄	—	2	1	no	—
504	C₁₃×C₂²⋊C₄	—	2	1	no	—
505	C₁₃×C₂²⋊C₄	—	2	1	no	—
506	C₁₃×C₂²⋊C₄	—	2	2	no	—
507	C₁₃×C₂²⋊C₄	—	2	2	no	—
508	C₁₃×C₂²⋊C₄	—	2	2	no	—
509	C₁₃×C₂²⋊C₄	—	2	2	no	—
510	C₁₃×C₂²⋊C₄	—	2	2	no	—
511	C₁₃×C₂²⋊C₄	—	2	2	no	—
512	C₁₃×C₂²⋊C₄	—	2	1	no	—
513	C₁₃×C₂²⋊C₄	—	2	1	no	—
514	C₁₃×C₂²⋊C₄	—	2	1	no	—
515	C₁₃×C₂²⋊C₄	—	2	1	no	—
516	C₁₃×C₂²⋊C₄	—	2	1	no	—
517	C₁₃×C₂²⋊C₄	—	2	1	no	—
518	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
519	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
520	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
521	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
522	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
523	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
524	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
525	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
526	C₄²×C₁₃	—	2	2	no	—
527	C₄²×C₁₃	—	2	2	no	—
528	C₄²×C₁₃	—	2	1	no	—
529	C₄²×C₁₃	—	2	1	no	—
530	C₄²×C₁₃	—	2	1	no	—
531	C₄²×C₁₃	C₂×D₄	1	1	yes	characteristic
532	C₄²×C₁₃	C₂×D₄	1	1	yes	characteristic
533	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
534	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
535	#3519	C₂×C₁₃	1	1	yes	characteristic, complemented
536	C₂×#548	C₂×C₁₃	1	1	yes	characteristic, complemented
537	#3326	C₂×C₁₃	1	2	yes	complemented
538	#3321	C₂×C₁₃	1	2	yes	complemented
539	#3316	C₂×C₁₃	1	2	yes	complemented
540	#3301	C₂×C₁₃	1	2	yes	complemented
541	#3282	C₂×C₁₃	1	2	yes	complemented
542	#3275	C₂×C₁₃	1	2	yes	complemented
543	#3271	C₂×C₁₃	1	2	yes	complemented
544	#3265	C₂×C₁₃	1	2	yes	complemented
545	#3213	C₂×C₁₃	1	1	yes	characteristic, complemented
546	#3211	C₂×C₁₃	1	1	yes	characteristic, complemented
547	#3196	C₂×C₁₃	1	1	yes	characteristic, complemented
548	#3192	C₂×C₁₃	1	1	yes	characteristic, complemented
549	#3188	C₂×C₁₃	1	1	yes	characteristic, complemented
550	#3187	C₂×C₁₃	1	1	yes	characteristic, complemented
551	#3117	C₂×C₁₃	1	1	yes	characteristic, complemented
552	#3103	C₂×C₁₃	1	1	yes	characteristic, complemented
553	#3006	C₂×C₁₃	1	1	yes	characteristic, complemented
554	#3004	C₂×C₁₃	1	1	yes	characteristic, complemented
555	#3002	C₂×C₁₃	1	1	yes	characteristic, complemented
556	C₂×#448	C₂×C₁₃	1	1	yes	characteristic, complemented
557	#2974	C₂×C₁₃	1	1	yes	characteristic, complemented
558	C₂³×C₁₃	—	2	2	no	—
559	C₂³×C₁₃	—	2	2	no	—
560	C₂³×C₁₃	—	2	2	no	—
561	C₂³×C₁₃	—	2	2	no	—
562	C₂³×C₁₃	—	2	1	no	—
563	C₂³×C₁₃	—	2	1	no	—
564	C₂³×C₁₃	—	2	1	no	—
565	C₂³×C₁₃	—	4	1	no	—
566	C₂³×C₁₃	—	4	1	no	—
567	C₂³×C₁₃	—	4	1	no	—
568	C₂³×C₁₃	—	4	2	no	—
569	C₂³×C₁₃	—	4	2	no	—
570	C₂³×C₁₃	—	4	2	no	—
571	C₂³×C₁₃	—	4	2	no	—
572	C₂³×C₁₃	—	4	2	no	—
573	C₂³×C₁₃	—	8	1	no	—
574	C₂³×C₁₃	—	8	1	no	—
575	C₂³×C₁₃	—	8	1	no	—
576	C₂³×C₁₃	—	8	1	no	—
577	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
578	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
579	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
580	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
581	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
582	Q₈×C₁₃	—	2	4	no	—
583	Q₈×C₁₃	—	2	2	no	—
584	Q₈×C₁₃	—	2	2	no	—
585	Q₈×C₁₃	—	2	2	no	—
586	Q₈×C₁₃	—	2	2	no	—
587	Q₈×C₁₃	—	4	4	no	—
588	Q₈×C₁₃	—	4	4	no	—
589	Q₈×C₁₃	—	4	2	no	—
590	Q₈×C₁₃	—	8	1	no	—
591	Q₈×C₁₃	H(5,𝔽₂)	1	4	yes	—
592	D₄×C₁₃	—	2	2	no	—
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	—	4	1	no	—
600	D₄×C₁₃	—	4	1	no	—
601	D₄×C₁₃	—	4	4	no	—
602	D₄×C₁₃	—	4	4	no	—
603	D₄×C₁₃	—	4	2	no	—
604	D₄×C₁₃	—	4	2	no	—
605	D₄×C₁₃	—	4	2	no	—
606	D₄×C₁₃	—	4	4	no	—
607	D₄×C₁₃	—	4	2	no	—
608	D₄×C₁₃	—	4	4	no	—
609	D₄×C₁₃	—	4	2	no	—
610	D₄×C₁₃	—	4	2	no	—
611	D₄×C₁₃	—	4	2	no	—
612	D₄×C₁₃	—	8	1	no	—
613	D₄×C₁₃	—	8	1	no	—
614	D₄×C₁₃	—	8	1	no	—
615	D₄×C₁₃	—	8	1	no	—
616	D₄×C₁₃	—	8	1	no	—
617	D₄×C₁₃	—	8	1	no	—
618	D₄×C₁₃	—	8	1	no	—
619	D₄×C₁₃	—	8	1	no	—
620	D₄×C₁₃	—	8	1	no	—
621	C₂×C₄×C₁₃	—	2	4	no	—
622	C₂×C₄×C₁₃	—	2	2	no	—
623	C₂×C₄×C₁₃	—	2	2	no	—
624	C₂×C₄×C₁₃	—	2	2	no	—
625	C₂×C₄×C₁₃	—	2	2	no	—
626	C₂×C₄×C₁₃	—	2	2	no	—
627	C₂×C₄×C₁₃	—	2	2	no	—
628	C₂×C₄×C₁₃	—	2	2	no	—
629	C₂×C₄×C₁₃	—	2	1	no	—
630	C₂×C₄×C₁₃	—	2	2	no	—
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	—	4	1	no	—
637	C₂×C₄×C₁₃	—	4	1	no	—
638	C₂×C₄×C₁₃	—	4	1	no	—
639	C₂×C₄×C₁₃	—	4	1	no	—
640	C₂×C₄×C₁₃	—	4	1	no	—
641	C₂×C₄×C₁₃	—	4	1	no	—
642	C₂×C₄×C₁₃	—	4	1	no	—
643	C₂×C₄×C₁₃	—	4	4	no	—
644	C₂×C₄×C₁₃	—	4	4	no	—
645	C₂×C₄×C₁₃	—	4	4	no	—
646	C₂×C₄×C₁₃	—	4	4	no	—
647	C₂×C₄×C₁₃	—	4	2	no	—
648	C₂×C₄×C₁₃	—	4	2	no	—
649	C₂×C₄×C₁₃	—	4	2	no	—
650	C₂×C₄×C₁₃	—	8	1	no	—
651	C₂×C₄×C₁₃	—	8	1	no	—
652	C₂×C₄×C₁₃	—	8	1	no	—
653	C₂×C₄×C₁₃	—	8	1	no	—
654	C₂×C₄×C₁₃	—	8	1	no	—
655	C₂×C₄×C₁₃	—	8	1	no	—
656	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
657	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
658	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
659	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
660	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
661	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
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	C₂⁵	1	1	yes	characteristic
666	C₈×C₁₃	—	2	2	no	—
667	C₈×C₁₃	—	2	2	no	—
668	C₈×C₁₃	—	2	2	no	—
669	C₈×C₁₃	—	2	2	no	—
670	C₂²×#41	C₂²×C₁₃	1	1	yes	characteristic, complemented
671	C₂³×Q₈	C₂²×C₁₃	1	1	yes	characteristic, complemented
672	C₂×#137	C₂²×C₁₃	1	2	yes	complemented
673	C₂×AGL(1,ℤ/8)	C₂²×C₁₃	1	2	yes	complemented
674	C₂×#135	C₂²×C₁₃	1	2	yes	complemented
675	C₂²×SD₁₆	C₂²×C₁₃	1	2	yes	complemented
676	#555	C₂²×C₁₃	1	1	yes	characteristic, complemented
677	#554	C₂²×C₁₃	1	1	yes	characteristic, complemented
678	#553	—	2	1	no	—
679	#553	C₂²×C₁₃	1	1	yes	characteristic, complemented
680	#553	C₂²×C₁₃	1	1	yes	characteristic, complemented
681	#550	C₂²×C₁₃	1	1	yes	characteristic, complemented
682	#548	—	2	1	no	—
683	#548	—	2	1	no	—
684	#548	—	2	1	no	—
685	#548	—	2	1	no	—
686	#548	C₂²×C₁₃	1	2	yes	—
687	#548	C₂²×C₁₃	1	2	yes	complemented
688	#548	C₂²×C₁₃	1	2	yes	complemented
689	#548	C₂²×C₁₃	1	2	yes	complemented
690	#546	—	2	1	no	—
691	#546	—	2	1	no	—
692	#546	C₂²×C₁₃	1	1	yes	characteristic, complemented
693	#546	C₂²×C₁₃	1	1	yes	characteristic, complemented
694	D₄²	—	2	1	no	—
695	D₄²	C₂²×C₁₃	1	1	yes	characteristic, complemented
696	#540	—	2	1	no	—
697	#538	—	2	1	no	—
698	#538	—	2	1	no	—
699	#532	C₂²×C₁₃	1	1	yes	characteristic
700	#529	C₂²×C₁₃	1	1	yes	characteristic
701	C₂×#124	—	2	1	no	—
702	C₂×#124	C₂²×C₁₃	1	1	yes	characteristic, complemented
703	#525	C₂²×C₁₃	1	1	yes	characteristic
704	#525	C₂²×C₁₃	1	1	yes	characteristic
705	C₂×C₂²⋊Q₈	—	2	1	no	—
706	C₂×C₂²⋊Q₈	C₂²×C₁₃	1	1	yes	characteristic, complemented
707	C₂×#121	—	2	1	no	—
708	C₂×#121	C₂²×C₁₃	1	1	yes	characteristic
709	C₂×#121	C₂²×C₁₃	1	1	yes	characteristic
710	C₂×#121	C₂²×C₁₃	1	1	yes	characteristic, complemented
711	#518	—	2	1	no	—
712	C₂×C₄×Q₈	C₂²×C₁₃	1	1	yes	characteristic, complemented
713	C₂×C₄×D₄	—	2	1	no	—
714	C₂×C₄×D₄	C₂²×C₁₃	1	1	yes	characteristic
715	#496	C₂²×C₁₃	1	2	yes	complemented
716	#495	C₂²×C₁₃	1	2	yes	complemented
717	#489	C₂²×C₁₃	1	2	yes	complemented
718	#488	C₂²×C₁₃	1	2	yes	complemented
719	#485	C₂²×C₁₃	1	2	yes	complemented
720	#484	C₂²×C₁₃	1	1	yes	characteristic, complemented
721	#483	C₂²×C₁₃	1	2	yes	complemented
722	#482	C₂²×C₁₃	1	2	yes	complemented
723	#481	C₂²×C₁₃	1	1	yes	characteristic
724	#481	C₂²×C₁₃	1	1	yes	characteristic, complemented
725	#481	C₂²×C₁₃	1	1	yes	characteristic, complemented
726	#481	C₂²×C₁₃	1	2	yes	complemented
727	#479	C₂²×C₁₃	1	2	yes	complemented
728	#475	C₂²×C₁₃	1	2	yes	complemented
729	#470	C₂²×C₁₃	1	2	yes	complemented
730	#469	C₂²×C₁₃	1	2	yes	complemented
731	#469	C₂²×C₁₃	1	2	yes	complemented
732	#468	C₂²×C₁₃	1	2	yes	complemented
733	#466	C₂²×C₁₃	1	2	yes	complemented
734	#465	C₂²×C₁₃	1	2	yes	complemented
735	#465	C₂²×C₁₃	1	2	yes	complemented
736	#465	C₂²×C₁₃	1	2	yes	complemented
737	#464	C₂²×C₁₃	1	2	yes	complemented
738	#464	C₂²×C₁₃	1	2	yes	complemented
739	#463	C₂²×C₁₃	1	2	yes	complemented
740	#463	C₂²×C₁₃	1	2	yes	complemented
741	#463	C₂²×C₁₃	1	2	yes	complemented
742	#460	C₂²×C₁₃	1	2	yes	complemented
743	#452	C₂²×C₁₃	1	2	yes	complemented
744	#452	C₂²×C₁₃	1	2	yes	complemented
745	#451	C₂²×C₁₃	1	1	yes	characteristic, complemented
746	#451	C₂²×C₁₃	1	1	yes	characteristic, complemented
747	#451	C₂²×C₁₃	1	2	yes	complemented
748	#450	C₂²×C₁₃	1	2	yes	complemented
749	#450	C₂²×C₁₃	1	1	yes	characteristic, complemented
750	#449	C₂²×C₁₃	1	2	yes	complemented
751	#449	C₂²×C₁₃	1	2	yes	complemented
752	#449	C₂²×C₁₃	1	2	yes	complemented
753	#449	C₂²×C₁₃	1	2	yes	complemented
754	#448	C₂²×C₁₃	1	1	yes	characteristic
755	#448	C₂²×C₁₃	1	1	yes	characteristic
756	#448	C₂²×C₁₃	1	1	yes	characteristic, complemented
757	#448	C₂²×C₁₃	1	1	yes	characteristic, complemented
758	#448	C₂²×C₁₃	1	1	yes	characteristic, complemented
759	#448	C₂²×C₁₃	1	1	yes	characteristic, complemented
760	#448	C₂²×C₁₃	1	2	yes	complemented
761	#448	C₂²×C₁₃	1	2	yes	complemented
762	#448	C₂²×C₁₃	1	2	yes	complemented
763	#447	C₂²×C₁₃	1	1	yes	characteristic
764	#447	C₂²×C₁₃	1	1	yes	characteristic, complemented
765	#447	C₂²×C₁₃	1	1	yes	characteristic, complemented
766	#447	C₂²×C₁₃	1	2	yes	complemented
767	#441	C₂²×C₁₃	1	2	yes	complemented
768	#440	C₂²×C₁₃	1	2	yes	complemented
769	C₄×SD₁₆	C₂²×C₁₃	1	2	yes	complemented
770	C₄×SD₁₆	C₂²×C₁₃	1	2	yes	complemented
771	#436	C₂²×C₁₃	1	2	yes	complemented
772	#435	C₂²×C₁₃	1	2	yes	complemented
773	#435	C₂²×C₁₃	1	2	yes	complemented
774	C₈×D₄	C₂²×C₁₃	1	2	yes	complemented
775	#432	C₂²×C₁₃	1	1	yes	characteristic, complemented
776	#431	C₂²×C₁₃	1	1	yes	characteristic, complemented
777	#419	C₂²×C₁₃	1	2	yes	complemented
778	#417	C₂²×C₁₃	1	2	yes	complemented
779	#416	C₂²×C₁₃	1	2	yes	complemented
780	C₂×#103	C₂²×C₁₃	1	2	yes	complemented
781	#407	C₂²×C₁₃	1	1	yes	characteristic, complemented
782	#407	C₂²×C₁₃	1	1	yes	characteristic, complemented
783	C₂×C₂²⋊C₈	C₂²×C₁₃	1	1	yes	characteristic, complemented
784	C₂×C₂²⋊C₈	C₂²×C₁₃	1	1	yes	characteristic, complemented
785	C₂²×C₁₃	—	2	1	no	—
786	C₂²×C₁₃	—	2	1	no	—
787	C₂²×C₁₃	—	2	1	no	—
788	C₂²×C₁₃	—	2	1	no	—
789	C₂²×C₁₃	—	2	1	no	—
790	C₂²×C₁₃	—	2	1	no	—
791	C₂²×C₁₃	—	2	1	no	—
792	C₂²×C₁₃	—	2	1	no	—
793	C₂²×C₁₃	—	2	1	no	—
794	C₂²×C₁₃	—	2	1	no	—
795	C₂²×C₁₃	—	2	1	no	—
796	C₂²×C₁₃	—	2	1	no	—
797	C₂²×C₁₃	—	2	1	no	—
798	C₂²×C₁₃	—	4	4	no	—
799	C₂²×C₁₃	—	4	2	no	—
800	C₂²×C₁₃	—	4	1	no	—
801	C₂²×C₁₃	—	4	1	no	—
802	C₂²×C₁₃	—	4	1	no	—
803	C₂²×C₁₃	—	4	1	no	—
804	C₂²×C₁₃	—	4	2	no	—
805	C₂²×C₁₃	—	4	1	no	—
806	C₂²×C₁₃	—	4	1	no	—
807	C₂²×C₁₃	—	4	1	no	—
808	C₂²×C₁₃	—	4	1	no	—
809	C₂²×C₁₃	—	4	1	no	—
810	C₂²×C₁₃	—	4	2	no	—
811	C₂²×C₁₃	—	8	2	no	—
812	C₂²×C₁₃	—	8	4	no	—
813	C₂²×C₁₃	—	16	2	no	—
814	C₂²×C₁₃	—	16	2	no	—
815	C₂²×C₁₃	#575	1	2	yes	—
816	C₂²×C₁₃	#577	1	2	yes	—
817	C₂²×C₁₃	C₂³×D₄	1	1	yes	characteristic
818	C₄×C₁₃	—	2	4	no	—
819	C₄×C₁₃	—	2	1	no	—
820	C₄×C₁₃	—	2	1	no	—
821	C₄×C₁₃	—	2	1	no	—
822	C₄×C₁₃	—	2	1	no	—
823	C₄×C₁₃	—	2	1	no	—
824	C₄×C₁₃	—	2	1	no	—
825	C₄×C₁₃	—	2	1	no	—
826	C₄×C₁₃	—	2	1	no	—
827	C₄×C₁₃	—	2	1	no	—
828	C₄×C₁₃	—	4	2	no	—
829	C₄×C₁₃	—	4	1	no	—
830	C₄×C₁₃	—	4	1	no	—
831	C₄×C₁₃	—	4	2	no	—
832	C₄×C₁₃	—	4	1	no	—
833	C₄×C₁₃	—	4	1	no	—
834	C₄×C₁₃	—	4	1	no	—
835	C₄×C₁₃	C₂×H(5,𝔽₂)	1	2	yes	—
836	C₂×#41	—	2	1	no	—
837	C₂×#41	—	2	1	no	—
838	C₂×#41	—	2	1	no	—
839	C₂×#41	—	4	4	no	—
840	C₂×#41	C₂³×C₁₃	1	2	yes	—
841	C₂×#41	C₂³×C₁₃	1	2	yes	—
842	C₂×#41	C₂³×C₁₃	1	1	yes	characteristic
843	C₂×#41	C₂³×C₁₃	1	1	yes	characteristic
844	C₂²×Q₈	—	2	1	no	—
845	C₂²×Q₈	—	2	1	no	—
846	C₂²×Q₈	—	2	1	no	—
847	C₂²×Q₈	—	4	4	no	—
848	C₂²×Q₈	C₂³×C₁₃	1	1	yes	characteristic
849	C₂²×Q₈	C₂³×C₁₃	1	2	yes	—
850	C₂²×Q₈	C₂³×C₁₃	1	2	yes	—
851	C₂²×Q₈	C₂³×C₁₃	1	1	yes	characteristic
852	C₂²×D₄	—	2	1	no	—
853	C₂²×D₄	—	2	1	no	—
854	C₂²×D₄	—	2	1	no	—
855	C₂²×D₄	—	2	1	no	—
856	C₂²×D₄	—	2	1	no	—
857	C₂²×D₄	D₄×C₁₃	1	1	yes	characteristic
858	C₂²×D₄	C₂³×C₁₃	1	1	yes	characteristic
859	C₂²×D₄	C₂³×C₁₃	1	1	yes	characteristic
860	C₂²×D₄	C₂³×C₁₃	1	1	yes	characteristic
861	C₂³×C₄	—	2	1	no	—
862	C₂³×C₄	—	2	1	no	—
863	C₂³×C₄	C₂³×C₁₃	1	1	yes	characteristic
864	C₂³×C₄	C₂³×C₁₃	1	1	yes	characteristic
865	#137	—	4	4	no	—
866	AGL(1,ℤ/8)	—	4	4	no	—
867	#135	—	4	4	no	—
868	C₂×Q₁₆	C₂³×C₁₃	1	2	yes	—
869	C₂×Q₁₆	C₂³×C₁₃	1	2	yes	—
870	C₂×SD₁₆	—	4	4	no	—
871	C₂×SD₁₆	C₂³×C₁₃	1	2	yes	—
872	C₂×SD₁₆	C₂³×C₁₃	1	2	yes	—
873	C₂×SD₁₆	C₂³×C₁₃	1	2	yes	—
874	C₂×SD₁₆	C₂³×C₁₃	1	2	yes	—
875	C₂×SD₁₆	C₂³×C₁₃	1	2	yes	—
876	C₂×SD₁₆	C₂³×C₁₃	1	2	yes	—
877	C₂×SD₁₆	C₂³×C₁₃	1	2	yes	—
878	C₂×D₈	C₂³×C₁₃	1	2	yes	—
879	C₂×D₈	C₂³×C₁₃	1	2	yes	—
880	C₂×D₈	C₂³×C₁₃	1	2	yes	—
881	C₂×M₁₆	C₂³×C₁₃	1	2	yes	—
882	C₂×M₁₆	C₂³×C₁₃	1	2	yes	—
883	C₂²×C₈	C₂³×C₁₃	1	2	yes	—
884	C₂²×C₈	C₂³×C₁₃	1	2	yes	—
885	C₄⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
886	#127	—	2	1	no	—
887	#127	C₂³×C₁₃	1	1	yes	characteristic
888	#126	—	2	1	no	—
889	#126	—	2	1	no	—
890	#126	—	2	1	no	—
891	#125	—	2	1	no	—
892	#125	C₂³×C₁₃	1	1	yes	characteristic
893	#124	—	2	2	no	—
894	#124	—	2	2	no	—
895	#124	—	2	2	no	—
896	#124	—	2	2	no	—
897	#124	—	2	1	no	—
898	#124	—	2	1	no	—
899	#124	—	2	1	no	—
900	#124	—	2	1	no	—
901	#124	—	2	1	no	—
902	#124	C₂³×C₁₃	1	2	yes	—
903	#124	C₂³×C₁₃	1	2	yes	—
904	#124	C₂³×C₁₃	1	1	yes	characteristic
905	#123	—	2	1	no	—
906	#123	—	2	1	no	—
907	#123	—	2	1	no	—
908	#123	—	2	1	no	—
909	#123	—	2	1	no	—
910	#123	—	2	1	no	—
911	#123	—	2	1	no	—
912	C₂²⋊Q₈	—	2	1	no	—
913	C₂²⋊Q₈	—	2	1	no	—
914	C₂²⋊Q₈	—	2	2	no	—
915	C₂²⋊Q₈	—	2	2	no	—
916	C₂²⋊Q₈	—	2	2	no	—
917	C₂²⋊Q₈	—	2	2	no	—
918	C₂²⋊Q₈	—	2	1	no	—
919	C₂²⋊Q₈	—	2	1	no	—
920	C₂²⋊Q₈	C₂³×C₁₃	1	2	yes	—
921	C₂²⋊Q₈	C₂³×C₁₃	1	2	yes	—
922	C₂²⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
923	C₂²⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
924	C₂²⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
925	#121	—	2	2	no	—
926	#121	—	2	2	no	—
927	#121	—	2	2	no	—
928	#121	—	2	2	no	—
929	#121	—	2	1	no	—
930	#121	—	2	1	no	—
931	#121	—	2	1	no	—
932	#121	—	2	1	no	—
933	#121	—	2	1	no	—
934	#121	—	2	1	no	—
935	#121	—	2	1	no	—
936	#121	—	2	1	no	—
937	#121	—	2	1	no	—
938	#121	—	2	1	no	—
939	#121	—	2	1	no	—
940	#121	—	2	1	no	—
941	#121	—	2	1	no	—
942	#121	—	2	1	no	—
943	#121	—	2	1	no	—
944	#121	C₂³×C₁₃	1	1	yes	characteristic
945	#121	C₂³×C₁₃	1	1	yes	characteristic
946	#121	C₂³×C₁₃	1	1	yes	characteristic
947	#121	C₂³×C₁₃	1	1	yes	characteristic
948	#121	C₂³×C₁₃	1	1	yes	characteristic
949	#121	C₂³×C₁₃	1	1	yes	characteristic
950	#121	C₂³×C₁₃	1	1	yes	characteristic
951	#121	C₂³×C₁₃	1	2	yes	—
952	#121	C₂³×C₁₃	1	2	yes	—
953	#121	C₂³×C₁₃	1	1	yes	characteristic
954	#121	C₂³×C₁₃	1	1	yes	characteristic
955	#120	—	2	1	no	—
956	#120	—	2	1	no	—
957	#120	—	2	1	no	—
958	#120	—	2	1	no	—
959	#120	—	2	1	no	—
960	#120	—	2	1	no	—
961	C₄×Q₈	—	2	1	no	—
962	C₄×Q₈	—	2	1	no	—
963	C₄×Q₈	C₂³×C₁₃	1	2	yes	—
964	C₄×Q₈	C₂³×C₁₃	1	2	yes	—
965	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
966	C₄×D₄	—	2	1	no	—
967	C₄×D₄	—	2	1	no	—
968	C₄×D₄	—	2	1	no	—
969	C₄×D₄	—	2	1	no	—
970	C₄×D₄	—	2	1	no	—
971	C₄×D₄	—	2	1	no	—
972	C₄×D₄	—	2	1	no	—
973	C₄×D₄	—	2	2	no	—
974	C₄×D₄	—	2	2	no	—
975	C₄×D₄	—	2	2	no	—
976	C₄×D₄	—	2	2	no	—
977	C₄×D₄	—	2	1	no	—
978	C₄×D₄	—	2	1	no	—
979	C₄×D₄	—	2	1	no	—
980	C₄×D₄	D₄×C₁₃	1	1	yes	characteristic
981	C₄×D₄	D₄×C₁₃	1	1	yes	characteristic
982	C₄×D₄	D₄×C₁₃	1	1	yes	characteristic
983	C₄×D₄	D₄×C₁₃	1	1	yes	characteristic
984	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
985	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
986	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
987	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
988	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
989	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
990	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
991	#117	—	2	1	no	—
992	#117	—	2	1	no	—
993	#117	C₂³×C₁₃	1	1	yes	characteristic
994	#117	C₂³×C₁₃	1	1	yes	characteristic
995	C₂×C₄⋊C₄	—	2	1	no	—
996	C₂×C₄⋊C₄	—	2	1	no	—
997	C₂×C₄⋊C₄	D₄×C₁₃	1	1	yes	characteristic
998	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
999	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1000	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1001	C₂×C₂²⋊C₄	—	2	1	no	—
1002	C₂×C₂²⋊C₄	—	2	1	no	—
1003	C₂×C₂²⋊C₄	—	2	1	no	—
1004	C₂×C₂²⋊C₄	—	2	1	no	—
1005	C₂×C₂²⋊C₄	—	2	1	no	—
1006	C₂×C₂²⋊C₄	—	2	1	no	—
1007	C₂×C₂²⋊C₄	—	2	1	no	—
1008	C₂×C₂²⋊C₄	—	2	1	no	—
1009	C₂×C₂²⋊C₄	D₄×C₁₃	1	1	yes	characteristic
1010	C₂×C₂²⋊C₄	D₄×C₁₃	1	1	yes	characteristic
1011	C₂×C₄²	—	2	1	no	—
1012	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
1013	#107	C₂³×C₁₃	1	2	yes	—
1014	#106	C₂³×C₁₃	1	2	yes	—
1015	#106	C₂³×C₁₃	1	2	yes	—
1016	#106	C₂³×C₁₃	1	2	yes	—
1017	C₄⋊C₈	C₂³×C₁₃	1	2	yes	—
1018	C₄⋊C₈	C₂³×C₁₃	1	2	yes	—
1019	#103	C₂³×C₁₃	1	2	yes	—
1020	#103	C₂³×C₁₃	1	2	yes	—
1021	#103	C₂³×C₁₃	1	2	yes	—
1022	#103	C₂³×C₁₃	1	2	yes	—
1023	#103	C₂³×C₁₃	1	2	yes	—
1024	#103	C₂³×C₁₃	1	2	yes	—
1025	#103	C₂³×C₁₃	1	2	yes	—
1026	#103	C₂³×C₁₃	1	2	yes	—
1027	#103	C₂³×C₁₃	1	2	yes	—
1028	#102	C₂³×C₁₃	1	2	yes	—
1029	#102	C₂³×C₁₃	1	2	yes	—
1030	#102	C₂³×C₁₃	1	2	yes	—
1031	#102	C₂³×C₁₃	1	2	yes	—
1032	#102	C₂³×C₁₃	1	2	yes	—
1033	#102	C₂³×C₁₃	1	2	yes	—
1034	#102	C₂³×C₁₃	1	2	yes	—
1035	C₂²⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
1036	C₂²⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
1037	C₂²⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
1038	C₂²⋊C₈	C₂³×C₁₃	1	2	yes	—
1039	C₂²⋊C₈	C₂³×C₁₃	1	2	yes	—
1040	C₂²⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
1041	C₂²⋊C₈	C₂³×C₁₃	1	2	yes	—
1042	C₂²⋊C₈	C₂³×C₁₃	1	2	yes	—
1043	#97	C₂³×C₁₃	1	2	yes	—
1044	C₄×C₈	C₂³×C₁₃	1	2	yes	—
1045	C₂×C₁₃	—	2	2	no	—
1046	C₂×C₁₃	—	2	2	no	—
1047	C₂×C₁₃	—	4	1	no	—
1048	C₂×C₁₃	—	4	1	no	—
1049	C₂×C₁₃	—	4	1	no	—
1050	C₂×C₁₃	—	8	2	no	—
1051	C₂×C₁₃	—	8	1	no	—
1052	C₂×C₁₃	—	8	1	no	—
1053	C₂×C₁₃	—	8	1	no	—
1054	C₂×C₁₃	#3484	1	1	yes	characteristic
1055	C₂×C₁₃	C₂×#575	1	1	yes	characteristic
1056	C₂×C₁₃	C₂×#577	1	1	yes	characteristic
1057	C₂⁴	—	2	1	no	—
1058	C₂⁴	—	2	1	no	—
1059	C₂⁴	—	2	1	no	—
1060	C₂⁴	C₂×D₄×C₁₃	1	1	yes	characteristic
1061	C₂⁴	C₂×D₄×C₁₃	1	1	yes	characteristic
1062	#41	—	2	4	no	—
1063	#41	—	2	4	no	—
1064	#41	—	4	2	no	—
1065	#41	—	4	2	no	—
1066	#41	—	4	2	no	—
1067	#41	—	4	2	no	—
1068	#41	—	4	4	no	—
1069	#41	—	4	4	no	—
1070	#41	—	8	2	no	—
1071	C₂×Q₈	—	2	4	no	—
1072	C₂×Q₈	—	2	1	no	—
1073	C₂×Q₈	—	2	2	no	—
1074	C₂×Q₈	—	2	2	no	—
1075	C₂×Q₈	—	2	1	no	—
1076	C₂×Q₈	—	2	1	no	—
1077	C₂×Q₈	—	2	4	no	—
1078	C₂×Q₈	—	2	4	no	—
1079	C₂×Q₈	—	4	2	no	—
1080	C₂×Q₈	—	4	2	no	—
1081	C₂×Q₈	—	4	2	no	—
1082	C₂×Q₈	—	4	4	no	—
1083	C₂×Q₈	—	4	4	no	—
1084	C₂×Q₈	—	4	4	no	—
1085	C₂×Q₈	C₂⁴×C₁₃	1	2	yes	—
1086	C₂×Q₈	C₂⁴×C₁₃	1	1	yes	characteristic
1087	C₂×Q₈	C₂⁴×C₁₃	1	2	yes	—
1088	C₂×D₄	—	2	1	no	—
1089	C₂×D₄	—	2	1	no	—
1090	C₂×D₄	—	2	2	no	—
1091	C₂×D₄	—	2	2	no	—
1092	C₂×D₄	—	2	1	no	—
1093	C₂×D₄	—	2	1	no	—
1094	C₂×D₄	—	2	1	no	—
1095	C₂×D₄	—	2	2	no	—
1096	C₂×D₄	—	2	2	no	—
1097	C₂×D₄	—	2	1	no	—
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	1	no	—
1103	C₂×D₄	—	2	1	no	—
1104	C₂×D₄	—	2	1	no	—
1105	C₂×D₄	—	2	1	no	—
1106	C₂×D₄	—	2	1	no	—
1107	C₂×D₄	—	2	1	no	—
1108	C₂×D₄	—	4	2	no	—
1109	C₂×D₄	—	4	2	no	—
1110	C₂×D₄	—	4	2	no	—
1111	C₂×D₄	—	4	4	no	—
1112	C₂×D₄	—	4	2	no	—
1113	C₂×D₄	—	4	4	no	—
1114	C₂×D₄	—	4	4	no	—
1115	C₂×D₄	—	8	2	no	—
1116	C₂×D₄	—	8	2	no	—
1117	C₂×D₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1118	C₂×D₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1119	C₂×D₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1120	C₂×D₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1121	C₂×D₄	C₂⁴×C₁₃	1	2	yes	—
1122	C₂×D₄	C₂⁴×C₁₃	1	1	yes	characteristic
1123	C₂×D₄	C₂⁴×C₁₃	1	1	yes	characteristic
1124	C₂×D₄	C₂⁴×C₁₃	1	1	yes	characteristic
1125	C₂²×C₄	—	2	1	no	—
1126	C₂²×C₄	—	2	1	no	—
1127	C₂²×C₄	—	2	1	no	—
1128	C₂²×C₄	—	2	2	no	—
1129	C₂²×C₄	—	2	2	no	—
1130	C₂²×C₄	—	2	1	no	—
1131	C₂²×C₄	—	2	1	no	—
1132	C₂²×C₄	—	2	1	no	—
1133	C₂²×C₄	—	2	2	no	—
1134	C₂²×C₄	—	2	2	no	—
1135	C₂²×C₄	—	2	1	no	—
1136	C₂²×C₄	—	2	1	no	—
1137	C₂²×C₄	—	2	1	no	—
1138	C₂²×C₄	—	2	1	no	—
1139	C₂²×C₄	—	4	2	no	—
1140	C₂²×C₄	—	4	2	no	—
1141	C₂²×C₄	—	4	4	no	—
1142	C₂²×C₄	—	4	4	no	—
1143	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1144	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1145	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1146	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1147	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1148	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1149	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1150	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1151	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1152	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1153	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1154	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1155	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1156	Q₁₆	—	2	4	no	—
1157	Q₁₆	—	4	2	no	—
1158	SD₁₆	—	2	4	no	—
1159	SD₁₆	—	2	4	no	—
1160	SD₁₆	—	2	4	no	—
1161	SD₁₆	—	4	2	no	—
1162	SD₁₆	—	4	2	no	—
1163	SD₁₆	—	4	2	no	—
1164	SD₁₆	—	4	2	no	—
1165	D₈	—	4	2	no	—
1166	D₈	—	4	2	no	—
1167	D₈	—	4	2	no	—
1168	M₁₆	—	4	2	no	—
1169	M₁₆	—	4	2	no	—
1170	C₂×C₈	—	4	2	no	—
1171	C₂×C₈	—	4	2	no	—
1172	C₂×C₈	C₂⁴×C₁₃	1	2	yes	—
1173	C₂×C₈	C₂⁴×C₁₃	1	2	yes	—
1174	C₂×C₈	C₂⁴×C₁₃	1	2	yes	—
1175	C₂×C₈	C₂⁴×C₁₃	1	2	yes	—
1176	C₄⋊C₄	—	2	2	no	—
1177	C₄⋊C₄	—	2	2	no	—
1178	C₄⋊C₄	—	2	2	no	—
1179	C₄⋊C₄	—	2	2	no	—
1180	C₄⋊C₄	—	2	1	no	—
1181	C₄⋊C₄	—	2	1	no	—
1182	C₄⋊C₄	—	2	1	no	—
1183	C₄⋊C₄	—	2	1	no	—
1184	C₄⋊C₄	—	2	1	no	—
1185	C₄⋊C₄	—	2	1	no	—
1186	C₄⋊C₄	—	2	1	no	—
1187	C₄⋊C₄	—	2	1	no	—
1188	C₄⋊C₄	—	2	1	no	—
1189	C₄⋊C₄	—	2	1	no	—
1190	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1191	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1192	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1193	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1194	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
1195	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1196	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1197	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1198	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1199	C₂²⋊C₄	—	2	1	no	—
1200	C₂²⋊C₄	—	2	1	no	—
1201	C₂²⋊C₄	—	2	2	no	—
1202	C₂²⋊C₄	—	2	2	no	—
1203	C₂²⋊C₄	—	2	1	no	—
1204	C₂²⋊C₄	—	2	1	no	—
1205	C₂²⋊C₄	—	2	1	no	—
1206	C₂²⋊C₄	—	2	1	no	—
1207	C₂²⋊C₄	—	2	1	no	—
1208	C₂²⋊C₄	—	2	1	no	—
1209	C₂²⋊C₄	—	2	1	no	—
1210	C₂²⋊C₄	—	2	1	no	—
1211	C₂²⋊C₄	—	2	1	no	—
1212	C₂²⋊C₄	—	2	1	no	—
1213	C₂²⋊C₄	—	2	1	no	—
1214	C₂²⋊C₄	—	2	2	no	—
1215	C₂²⋊C₄	—	2	2	no	—
1216	C₂²⋊C₄	—	2	2	no	—
1217	C₂²⋊C₄	—	2	2	no	—
1218	C₂²⋊C₄	—	2	2	no	—
1219	C₂²⋊C₄	—	2	2	no	—
1220	C₂²⋊C₄	—	2	1	no	—
1221	C₂²⋊C₄	—	2	1	no	—
1222	C₂²⋊C₄	—	2	1	no	—
1223	C₂²⋊C₄	—	2	1	no	—
1224	C₂²⋊C₄	—	2	1	no	—
1225	C₂²⋊C₄	—	2	1	no	—
1226	C₂²⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1227	C₂²⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1228	C₂²⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1229	C₂²⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1230	C₂²⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1231	C₂²⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1232	C₂²⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1233	C₂²⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1234	C₄²	—	2	2	no	—
1235	C₄²	—	2	2	no	—
1236	C₄²	—	2	1	no	—
1237	C₄²	—	2	1	no	—
1238	C₄²	—	2	1	no	—
1239	C₄²	C₂×D₄×C₁₃	1	1	yes	characteristic
1240	C₄²	C₂×D₄×C₁₃	1	1	yes	characteristic
1241	C₄²	C₂⁴×C₁₃	1	1	yes	characteristic
1242	C₄²	C₂⁴×C₁₃	1	1	yes	characteristic
1243	C₁₃	#61594	1	1	yes	characteristic, direct product factor, Sylow
1244	C₂³	—	2	2	no	—
1245	C₂³	—	2	2	no	—
1246	C₂³	—	2	2	no	—
1247	C₂³	—	2	2	no	—
1248	C₂³	—	2	1	no	—
1249	C₂³	—	2	1	no	—
1250	C₂³	—	2	1	no	—
1251	C₂³	—	4	1	no	—
1252	C₂³	—	4	1	no	—
1253	C₂³	—	4	1	no	—
1254	C₂³	—	4	2	no	—
1255	C₂³	—	4	2	no	—
1256	C₂³	—	4	2	no	—
1257	C₂³	—	4	2	no	—
1258	C₂³	—	4	2	no	—
1259	C₂³	—	8	1	no	—
1260	C₂³	—	8	1	no	—
1261	C₂³	—	8	1	no	—
1262	C₂³	—	8	1	no	—
1263	C₂³	C₂²×D₄×C₁₃	1	1	yes	characteristic
1264	C₂³	C₂²×D₄×C₁₃	1	1	yes	characteristic
1265	C₂³	C₂²×D₄×C₁₃	1	1	yes	characteristic
1266	C₂³	C₂²×D₄×C₁₃	1	1	yes	characteristic
1267	C₂³	C₂²×D₄×C₁₃	1	1	yes	characteristic
1268	Q₈	—	2	4	no	—
1269	Q₈	—	2	2	no	—
1270	Q₈	—	2	2	no	—
1271	Q₈	—	2	2	no	—
1272	Q₈	—	2	2	no	—
1273	Q₈	—	4	4	no	—
1274	Q₈	—	4	4	no	—
1275	Q₈	—	4	2	no	—
1276	Q₈	—	8	1	no	—
1277	Q₈	C₁₃×H(5,𝔽₂)	1	4	yes	—
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	—	4	1	no	—
1286	D₄	—	4	1	no	—
1287	D₄	—	4	4	no	—
1288	D₄	—	4	4	no	—
1289	D₄	—	4	2	no	—
1290	D₄	—	4	2	no	—
1291	D₄	—	4	2	no	—
1292	D₄	—	4	4	no	—
1293	D₄	—	4	2	no	—
1294	D₄	—	4	4	no	—
1295	D₄	—	4	2	no	—
1296	D₄	—	4	2	no	—
1297	D₄	—	4	2	no	—
1298	D₄	—	8	1	no	—
1299	D₄	—	8	1	no	—
1300	D₄	—	8	1	no	—
1301	D₄	—	8	1	no	—
1302	D₄	—	8	1	no	—
1303	D₄	—	8	1	no	—
1304	D₄	—	8	1	no	—
1305	D₄	—	8	1	no	—
1306	D₄	—	8	1	no	—
1307	C₂×C₄	—	2	4	no	—
1308	C₂×C₄	—	2	2	no	—
1309	C₂×C₄	—	2	2	no	—
1310	C₂×C₄	—	2	2	no	—
1311	C₂×C₄	—	2	2	no	—
1312	C₂×C₄	—	2	2	no	—
1313	C₂×C₄	—	2	2	no	—
1314	C₂×C₄	—	2	2	no	—
1315	C₂×C₄	—	2	1	no	—
1316	C₂×C₄	—	2	2	no	—
1317	C₂×C₄	—	2	1	no	—
1318	C₂×C₄	—	2	1	no	—
1319	C₂×C₄	—	2	1	no	—
1320	C₂×C₄	—	2	1	no	—
1321	C₂×C₄	—	2	2	no	—
1322	C₂×C₄	—	4	1	no	—
1323	C₂×C₄	—	4	1	no	—
1324	C₂×C₄	—	4	1	no	—
1325	C₂×C₄	—	4	1	no	—
1326	C₂×C₄	—	4	1	no	—
1327	C₂×C₄	—	4	1	no	—
1328	C₂×C₄	—	4	1	no	—
1329	C₂×C₄	—	4	4	no	—
1330	C₂×C₄	—	4	4	no	—
1331	C₂×C₄	—	4	4	no	—
1332	C₂×C₄	—	4	4	no	—
1333	C₂×C₄	—	4	2	no	—
1334	C₂×C₄	—	4	2	no	—
1335	C₂×C₄	—	4	2	no	—
1336	C₂×C₄	—	8	1	no	—
1337	C₂×C₄	—	8	1	no	—
1338	C₂×C₄	—	8	1	no	—
1339	C₂×C₄	—	8	1	no	—
1340	C₂×C₄	—	8	1	no	—
1341	C₂×C₄	—	8	1	no	—
1342	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1343	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1344	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1345	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
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	C₂²×D₄×C₁₃	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	C₂²	—	2	1	no	—
1357	C₂²	—	2	1	no	—
1358	C₂²	—	2	1	no	—
1359	C₂²	—	2	1	no	—
1360	C₂²	—	2	1	no	—
1361	C₂²	—	2	1	no	—
1362	C₂²	—	2	1	no	—
1363	C₂²	—	2	1	no	—
1364	C₂²	—	2	1	no	—
1365	C₂²	—	2	1	no	—
1366	C₂²	—	2	1	no	—
1367	C₂²	—	2	1	no	—
1368	C₂²	—	2	1	no	—
1369	C₂²	—	4	4	no	—
1370	C₂²	—	4	1	no	—
1371	C₂²	—	4	2	no	—
1372	C₂²	—	4	1	no	—
1373	C₂²	—	4	1	no	—
1374	C₂²	—	4	1	no	—
1375	C₂²	—	4	1	no	—
1376	C₂²	—	4	1	no	—
1377	C₂²	—	4	2	no	—
1378	C₂²	—	4	2	no	—
1379	C₂²	—	4	1	no	—
1380	C₂²	—	4	1	no	—
1381	C₂²	—	4	1	no	—
1382	C₂²	—	8	2	no	—
1383	C₂²	—	8	4	no	—
1384	C₂²	—	16	2	no	—
1385	C₂²	—	16	2	no	—
1386	C₂²	C₁₃×#575	1	2	yes	—
1387	C₂²	C₁₃×#577	1	2	yes	—
1388	C₂²	C₂³×D₄×C₁₃	1	1	yes	characteristic
1389	C₄	—	2	1	no	—
1390	C₄	—	2	1	no	—
1391	C₄	—	2	1	no	—
1392	C₄	—	2	1	no	—
1393	C₄	—	2	4	no	—
1394	C₄	—	2	1	no	—
1395	C₄	—	2	1	no	—
1396	C₄	—	2	1	no	—
1397	C₄	—	2	1	no	—
1398	C₄	—	2	1	no	—
1399	C₄	—	4	1	no	—
1400	C₄	—	4	2	no	—
1401	C₄	—	4	1	no	—
1402	C₄	—	4	1	no	—
1403	C₄	—	4	1	no	—
1404	C₄	—	4	2	no	—
1405	C₄	—	4	1	no	—
1406	C₄	C₂×C₁₃×H(5,𝔽₂)	1	2	yes	—
1407	C₂	—	2	2	no	—
1408	C₂	—	2	2	no	—
1409	C₂	—	4	1	no	—
1410	C₂	—	4	1	no	—
1411	C₂	—	4	1	no	—
1412	C₂	—	8	2	no	—
1413	C₂	—	8	1	no	—
1414	C₂	—	8	1	no	—
1415	C₂	—	8	1	no	—
1416	C₂	C₁₃×#3484	1	1	yes	characteristic
1417	C₂	C₂×C₁₃×#575	1	1	yes	characteristic
1418	C₂	C₂×C₁₃×#577	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 ◁ C₂×C₄×D₄×C₁₃ ◁ G

Complements

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

N	H ≅ G/N	type
1. C₁₃×#3519	C₂	semidirect
2. C₂×C₁₃×#548	C₂	semidirect
3. C₁₃×#3326	C₂	semidirect
4. C₁₃×#3321	C₂	semidirect
5. C₁₃×#3316	C₂	semidirect
6. C₁₃×#3301	C₂	semidirect
7. C₁₃×#3282	C₂	semidirect
8. C₁₃×#3275	C₂	semidirect
9. C₁₃×#3271	C₂	semidirect
10. C₁₃×#3265	C₂	semidirect
11. C₁₃×#3213	C₂	semidirect
12. C₁₃×#3211	C₂	semidirect
13. C₁₃×#3196	C₂	semidirect
14. C₁₃×#3192	C₂	semidirect
15. C₁₃×#3188	C₂	semidirect
16. C₁₃×#3187	C₂	semidirect
17. C₁₃×#3117	C₂	semidirect
18. C₁₃×#3103	C₂	semidirect
19. C₁₃×#3006	C₂	semidirect
20. C₁₃×#3004	C₂	semidirect
21. C₁₃×#3002	C₂	semidirect
22. C₂×C₁₃×#448	C₂	semidirect
23. C₁₃×#2974	C₂	semidirect
24. C₂²×C₁₃×#41	C₂²	semidirect
25. C₂³×Q₈×C₁₃	C₂²	semidirect
26. C₂×C₁₃×#137	C₂²	semidirect
27. C₂×C₁₃×AGL(1,ℤ/8)	C₂²	semidirect
28. C₂×C₁₃×#135	C₂²	semidirect
29. C₂²×C₁₃×SD₁₆	C₂²	semidirect
30. C₁₃×#555	C₂²	semidirect
31. C₁₃×#554	C₂²	semidirect
33. C₁₃×#553	C₂²	semidirect
34. C₁₃×#553	C₂²	semidirect
35. C₁₃×#550	C₂²	semidirect
41. C₁₃×#548	C₂²	semidirect
42. C₁₃×#548	C₂²	semidirect
43. C₁₃×#548	C₂²	semidirect
46. C₁₃×#546	C₂²	semidirect
47. C₁₃×#546	C₂²	semidirect
49. D₄²×C₁₃	C₂²	semidirect
56. C₂×C₁₃×#124	C₂²	semidirect
60. C₂×C₁₃×C₂²⋊Q₈	C₂²	semidirect
64. C₂×C₁₃×#121	C₂²	semidirect
66. C₂×C₄×Q₈×C₁₃	C₂²	semidirect
69. C₁₃×#496	C₂²	semidirect
70. C₁₃×#495	C₂²	semidirect
71. C₁₃×#489	C₂²	semidirect
72. C₁₃×#488	C₂²	semidirect
73. C₁₃×#485	C₂²	semidirect
74. C₁₃×#484	C₂²	semidirect
75. C₁₃×#483	C₂²	semidirect
76. C₁₃×#482	C₂²	semidirect
78. C₁₃×#481	C₂²	semidirect
79. C₁₃×#481	C₂²	semidirect
80. C₁₃×#481	C₂²	semidirect
81. C₁₃×#479	C₂²	semidirect
82. C₁₃×#475	C₂²	semidirect
83. C₁₃×#470	C₂²	semidirect
84. C₁₃×#469	C₂²	semidirect
85. C₁₃×#469	C₂²	semidirect
86. C₁₃×#468	C₂²	semidirect
87. C₁₃×#466	C₂²	semidirect
88. C₁₃×#465	C₂²	semidirect
89. C₁₃×#465	C₂²	semidirect
90. C₁₃×#465	C₂²	semidirect
91. C₁₃×#464	C₂²	semidirect
92. C₁₃×#464	C₂²	semidirect
93. C₁₃×#463	C₂²	semidirect
94. C₁₃×#463	C₂²	semidirect
95. C₁₃×#463	C₂²	semidirect
96. C₁₃×#460	C₂²	semidirect
97. C₁₃×#452	C₂²	semidirect
98. C₁₃×#452	C₂²	semidirect
99. C₁₃×#451	C₂²	semidirect
100. C₁₃×#451	C₂²	semidirect
101. C₁₃×#451	C₂²	semidirect
102. C₁₃×#450	C₂²	semidirect
103. C₁₃×#450	C₂²	semidirect
104. C₁₃×#449	C₂²	semidirect
105. C₁₃×#449	C₂²	semidirect
106. C₁₃×#449	C₂²	semidirect
107. C₁₃×#449	C₂²	semidirect
110. C₁₃×#448	C₂²	semidirect
111. C₁₃×#448	C₂²	semidirect
112. C₁₃×#448	C₂²	semidirect
113. C₁₃×#448	C₂²	semidirect
114. C₁₃×#448	C₂²	semidirect
115. C₁₃×#448	C₂²	semidirect
116. C₁₃×#448	C₂²	semidirect
118. C₁₃×#447	C₂²	semidirect
119. C₁₃×#447	C₂²	semidirect
120. C₁₃×#447	C₂²	semidirect
121. C₁₃×#441	C₂²	semidirect
122. C₁₃×#440	C₂²	semidirect
123. C₄×C₁₃×SD₁₆	C₂²	semidirect
124. C₄×C₁₃×SD₁₆	C₂²	semidirect
125. C₁₃×#436	C₂²	semidirect
126. C₁₃×#435	C₂²	semidirect
127. C₁₃×#435	C₂²	semidirect
128. C₈×D₄×C₁₃	C₂²	semidirect
129. C₁₃×#432	C₂²	semidirect
130. C₁₃×#431	C₂²	semidirect
131. C₁₃×#419	C₂²	semidirect
132. C₁₃×#417	C₂²	semidirect
133. C₁₃×#416	C₂²	semidirect
134. C₂×C₁₃×#103	C₂²	semidirect
135. C₁₃×#407	C₂²	semidirect
136. C₁₃×#407	C₂²	semidirect
137. C₂×C₁₃×C₂²⋊C₈	C₂²	semidirect
138. C₂×C₁₃×C₂²⋊C₈	C₂²	semidirect
348. #61594	C₁₃	direct (N × H)
535. #3519	C₂×C₁₃	semidirect
536. C₂×#548	C₂×C₁₃	semidirect
537. #3326	C₂×C₁₃	semidirect
538. #3321	C₂×C₁₃	semidirect
539. #3316	C₂×C₁₃	semidirect
540. #3301	C₂×C₁₃	semidirect
541. #3282	C₂×C₁₃	semidirect
542. #3275	C₂×C₁₃	semidirect
543. #3271	C₂×C₁₃	semidirect
544. #3265	C₂×C₁₃	semidirect
545. #3213	C₂×C₁₃	semidirect
546. #3211	C₂×C₁₃	semidirect
547. #3196	C₂×C₁₃	semidirect
548. #3192	C₂×C₁₃	semidirect
549. #3188	C₂×C₁₃	semidirect
550. #3187	C₂×C₁₃	semidirect
551. #3117	C₂×C₁₃	semidirect
552. #3103	C₂×C₁₃	semidirect
553. #3006	C₂×C₁₃	semidirect
554. #3004	C₂×C₁₃	semidirect
555. #3002	C₂×C₁₃	semidirect
556. C₂×#448	C₂×C₁₃	semidirect
557. #2974	C₂×C₁₃	semidirect
670. C₂²×#41	C₂²×C₁₃	semidirect
671. C₂³×Q₈	C₂²×C₁₃	semidirect
672. C₂×#137	C₂²×C₁₃	semidirect
673. C₂×AGL(1,ℤ/8)	C₂²×C₁₃	semidirect
674. C₂×#135	C₂²×C₁₃	semidirect
675. C₂²×SD₁₆	C₂²×C₁₃	semidirect
676. #555	C₂²×C₁₃	semidirect
677. #554	C₂²×C₁₃	semidirect
679. #553	C₂²×C₁₃	semidirect
680. #553	C₂²×C₁₃	semidirect
681. #550	C₂²×C₁₃	semidirect
687. #548	C₂²×C₁₃	semidirect
688. #548	C₂²×C₁₃	semidirect
689. #548	C₂²×C₁₃	semidirect
692. #546	C₂²×C₁₃	semidirect
693. #546	C₂²×C₁₃	semidirect
695. D₄²	C₂²×C₁₃	semidirect
702. C₂×#124	C₂²×C₁₃	semidirect
706. C₂×C₂²⋊Q₈	C₂²×C₁₃	semidirect
710. C₂×#121	C₂²×C₁₃	semidirect
712. C₂×C₄×Q₈	C₂²×C₁₃	semidirect
715. #496	C₂²×C₁₃	semidirect
716. #495	C₂²×C₁₃	semidirect
717. #489	C₂²×C₁₃	semidirect
718. #488	C₂²×C₁₃	semidirect
719. #485	C₂²×C₁₃	semidirect
720. #484	C₂²×C₁₃	semidirect
721. #483	C₂²×C₁₃	semidirect
722. #482	C₂²×C₁₃	semidirect
724. #481	C₂²×C₁₃	semidirect
725. #481	C₂²×C₁₃	semidirect
726. #481	C₂²×C₁₃	semidirect
727. #479	C₂²×C₁₃	semidirect
728. #475	C₂²×C₁₃	semidirect
729. #470	C₂²×C₁₃	semidirect
730. #469	C₂²×C₁₃	semidirect
731. #469	C₂²×C₁₃	semidirect
732. #468	C₂²×C₁₃	semidirect
733. #466	C₂²×C₁₃	semidirect
734. #465	C₂²×C₁₃	semidirect
735. #465	C₂²×C₁₃	semidirect
736. #465	C₂²×C₁₃	semidirect
737. #464	C₂²×C₁₃	semidirect
738. #464	C₂²×C₁₃	semidirect
739. #463	C₂²×C₁₃	semidirect
740. #463	C₂²×C₁₃	semidirect
741. #463	C₂²×C₁₃	semidirect
742. #460	C₂²×C₁₃	semidirect
743. #452	C₂²×C₁₃	semidirect
744. #452	C₂²×C₁₃	semidirect
745. #451	C₂²×C₁₃	semidirect
746. #451	C₂²×C₁₃	semidirect
747. #451	C₂²×C₁₃	semidirect
748. #450	C₂²×C₁₃	semidirect
749. #450	C₂²×C₁₃	semidirect
750. #449	C₂²×C₁₃	semidirect
751. #449	C₂²×C₁₃	semidirect
752. #449	C₂²×C₁₃	semidirect
753. #449	C₂²×C₁₃	semidirect
756. #448	C₂²×C₁₃	semidirect
757. #448	C₂²×C₁₃	semidirect
758. #448	C₂²×C₁₃	semidirect
759. #448	C₂²×C₁₃	semidirect
760. #448	C₂²×C₁₃	semidirect
761. #448	C₂²×C₁₃	semidirect
762. #448	C₂²×C₁₃	semidirect
764. #447	C₂²×C₁₃	semidirect
765. #447	C₂²×C₁₃	semidirect
766. #447	C₂²×C₁₃	semidirect
767. #441	C₂²×C₁₃	semidirect
768. #440	C₂²×C₁₃	semidirect
769. C₄×SD₁₆	C₂²×C₁₃	semidirect
770. C₄×SD₁₆	C₂²×C₁₃	semidirect
771. #436	C₂²×C₁₃	semidirect
772. #435	C₂²×C₁₃	semidirect
773. #435	C₂²×C₁₃	semidirect
774. C₈×D₄	C₂²×C₁₃	semidirect
775. #432	C₂²×C₁₃	semidirect
776. #431	C₂²×C₁₃	semidirect
777. #419	C₂²×C₁₃	semidirect
778. #417	C₂²×C₁₃	semidirect
779. #416	C₂²×C₁₃	semidirect
780. C₂×#103	C₂²×C₁₃	semidirect
781. #407	C₂²×C₁₃	semidirect
782. #407	C₂²×C₁₃	semidirect
783. C₂×C₂²⋊C₈	C₂²×C₁₃	semidirect
784. C₂×C₂²⋊C₈	C₂²×C₁₃	semidirect
1243. C₁₃	#61594	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×#3519	2
C₂×C₁₃×#548	2
C₁₃×#3326	2
C₁₃×#3321	2
C₁₃×#3316	2
C₁₃×#3301	2
C₁₃×#3282	2
C₁₃×#3275	2
C₁₃×#3271	2
C₁₃×#3265	2
C₁₃×#3213	2
C₁₃×#3211	2
C₁₃×#3196	2
C₁₃×#3192	2
C₁₃×#3188	2
C₁₃×#3187	2
C₁₃×#3117	2
C₁₃×#3103	2
C₁₃×#3006	2
C₁₃×#3004	2
C₁₃×#3002	2
C₂×C₁₃×#448	2
C₁₃×#2974	2
#61594	13

Subgroups — C13×#61594 #15747933

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₃×#61594 #15747933