Subgroups — C₁₃×#60989 #15747328

Order 3328.

1782 conjugacy classes of subgroups.

The subgroup lattice has 1312 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₁₃×#3511	C₂	1	1	yes	maximal, characteristic, complemented
2	C₁₃×#3460	C₂	1	1	yes	maximal, characteristic, complemented
3	C₁₃×#3253	C₂	1	1	yes	maximal, characteristic, complemented
4	C₁₃×#3252	C₂	1	1	yes	maximal, characteristic, complemented
5	C₁₃×#3247	C₂	1	1	yes	maximal, characteristic, complemented
6	C₁₃×#3246	C₂	1	1	yes	maximal, characteristic, complemented
7	C₁₃×#3244	C₂	1	2	yes	maximal, complemented
8	C₁₃×#3238	C₂	1	1	yes	maximal, characteristic, complemented
9	C₁₃×#3227	C₂	1	1	yes	maximal, characteristic, complemented
10	C₁₃×#3224	C₂	1	2	yes	maximal, complemented
11	C₁₃×#3214	C₂	1	1	yes	maximal, characteristic, complemented
12	C₁₃×#3212	C₂	1	1	yes	maximal, characteristic, complemented
13	C₁₃×#3204	C₂	1	2	yes	maximal, complemented
14	C₁₃×#3198	C₂	1	2	yes	maximal, complemented
15	C₁₃×#3179	C₂	1	2	yes	maximal, complemented
16	C₁₃×#3173	C₂	1	2	yes	maximal, complemented
17	C₁₃×#3125	C₂	1	2	yes	maximal, complemented
18	C₁₃×#3119	C₂	1	2	yes	maximal, complemented
19	C₁₃×#3116	C₂	1	1	yes	maximal, characteristic, complemented
20	C₁₃×#3109	C₂	1	1	yes	maximal, characteristic, complemented
21	C₁₃×#3106	C₂	1	1	yes	maximal, characteristic, complemented
22	C₁₃×#3101	C₂	1	1	yes	maximal, characteristic, complemented
23	C₁₃×#2925	C₂	1	1	yes	maximal, characteristic, complemented
24	C₁₃×#556	—	2	1	no	—
25	C₁₃×#555	—	2	1	no	—
26	C₁₃×#554	—	2	1	no	—
27	C₁₃×#553	—	2	1	no	—
28	C₁₃×#553	—	2	1	no	—
29	C₁₃×#548	—	2	1	no	—
30	C₁₃×#548	—	2	1	no	—
31	C₁₃×#547	—	2	1	no	—
32	C₁₃×#544	C₂²	1	1	yes	characteristic
33	C₁₃×#542	—	2	1	no	—
34	C₁₃×#542	C₂²	1	1	yes	characteristic
35	C₁₃×#542	C₂²	1	1	yes	characteristic
36	C₁₃×#542	C₂²	1	2	yes	—
37	C₁₃×#542	C₂²	1	2	yes	complemented
38	C₁₃×#540	—	2	1	no	—
39	C₁₃×#540	C₂²	1	1	yes	characteristic
40	C₁₃×#540	C₂²	1	1	yes	characteristic
41	C₁₃×#538	—	2	1	no	—
42	C₁₃×#538	—	2	1	no	—
43	C₁₃×#537	C₂²	1	2	yes	—
44	C₁₃×#537	C₂²	1	1	yes	characteristic
45	C₁₃×#535	C₂²	1	1	yes	characteristic
46	C₁₃×#535	C₂²	1	1	yes	characteristic
47	C₁₃×#533	C₂²	1	1	yes	characteristic
48	C₁₃×#533	C₂²	1	1	yes	characteristic, complemented
49	C₁₃×#532	—	2	1	no	—
50	C₁₃×#532	C₂²	1	1	yes	characteristic
51	C₁₃×#532	C₂²	1	1	yes	characteristic
52	C₁₃×#532	C₂²	1	1	yes	characteristic
53	C₁₃×#532	C₂²	1	1	yes	characteristic, complemented
54	C₁₃×#532	C₂²	1	1	yes	characteristic, complemented
55	C₂×C₁₃×C₄⋊Q₈	C₂²	1	1	yes	characteristic, complemented
56	C₁₃×#529	—	2	1	no	—
57	C₁₃×#529	C₂²	1	1	yes	characteristic
58	C₁₃×#529	C₂²	1	1	yes	characteristic
59	C₁₃×#525	—	2	1	no	—
60	C₁₃×#525	—	2	1	no	—
61	C₁₃×#520	C₂²	1	2	yes	complemented
62	C₄×C₁₃×#41	C₂²	1	1	yes	characteristic
63	C₄×C₁₃×#41	C₂²	1	1	yes	characteristic
64	C₂×C₄×D₄×C₁₃	C₂²	1	1	yes	characteristic
65	C₁₃×#501	C₂²	1	2	yes	complemented
66	C₁₃×#498	C₂²	1	2	yes	complemented
67	C₁₃×#496	C₂²	1	2	yes	—
68	C₁₃×#495	C₂²	1	2	yes	—
69	C₁₃×#489	C₂²	1	2	yes	—
70	C₁₃×#489	C₂²	1	2	yes	complemented
71	C₁₃×#488	C₂²	1	2	yes	complemented
72	C₁₃×#486	C₂²	1	2	yes	—
73	C₁₃×#485	C₂²	1	2	yes	—
74	C₁₃×#483	C₂²	1	2	yes	—
75	C₁₃×#483	C₂²	1	2	yes	complemented
76	C₁₃×#482	C₂²	1	2	yes	—
77	C₁₃×#481	C₂²	1	2	yes	—
78	C₁₃×#481	C₂²	1	2	yes	—
79	C₁₃×#481	C₂²	1	2	yes	complemented
80	C₁₃×#480	C₂²	1	2	yes	—
81	C₁₃×#479	C₂²	1	2	yes	complemented
82	C₁₃×#478	C₂²	1	2	yes	complemented
83	C₁₃×#477	C₂²	1	1	yes	characteristic, complemented
84	C₁₃×#477	C₂²	1	1	yes	characteristic, complemented
85	C₁₃×#476	C₂²	1	1	yes	characteristic
86	C₁₃×#476	C₂²	1	1	yes	characteristic
87	C₁₃×#476	C₂²	1	1	yes	characteristic
88	C₁₃×#476	C₂²	1	1	yes	characteristic
89	C₁₃×#476	C₂²	1	1	yes	characteristic, complemented
90	C₁₃×#476	C₂²	1	1	yes	characteristic, complemented
91	C₁₃×#476	C₂²	1	2	yes	complemented
92	C₁₃×#475	C₂²	1	2	yes	complemented
93	C₁₃×#470	C₂²	1	2	yes	complemented
94	C₁₃×#469	C₂²	1	2	yes	—
95	C₁₃×#469	C₂²	1	2	yes	complemented
96	C₁₃×#468	C₂²	1	2	yes	—
97	C₁₃×#466	C₂²	1	2	yes	—
98	C₁₃×#465	C₂²	1	2	yes	—
99	C₁₃×#465	C₂²	1	2	yes	complemented
100	C₁₃×#465	C₂²	1	2	yes	complemented
101	C₁₃×#464	C₂²	1	2	yes	—
102	C₁₃×#463	C₂²	1	2	yes	—
103	C₁₃×#462	C₂²	1	1	yes	characteristic, complemented
104	C₁₃×#461	C₂²	1	1	yes	characteristic
105	C₁₃×#461	C₂²	1	1	yes	characteristic
106	C₁₃×#461	C₂²	1	1	yes	characteristic, complemented
107	C₁₃×#460	C₂²	1	2	yes	—
108	C₁₃×#460	C₂²	1	1	yes	characteristic, complemented
109	C₁₃×#459	C₂²	1	1	yes	characteristic
110	C₁₃×#459	C₂²	1	1	yes	characteristic
111	C₁₃×#459	C₂²	1	2	yes	—
112	C₁₃×#459	C₂²	1	1	yes	characteristic, complemented
113	C₁₃×#452	C₂²	1	2	yes	—
114	C₁₃×#452	C₂²	1	2	yes	complemented
115	C₁₃×#450	C₂²	1	2	yes	—
116	C₁₃×#449	C₂²	1	2	yes	—
117	C₁₃×#449	C₂²	1	2	yes	—
118	C₁₃×#449	C₂²	1	2	yes	—
119	C₁₃×#449	C₂²	1	2	yes	complemented
120	C₁₃×#447	C₂²	1	2	yes	—
121	C₁₃×#442	C₂²	1	2	yes	—
122	C₁₃×#442	C₂²	1	2	yes	—
123	C₁₃×#441	C₂²	1	2	yes	complemented
124	C₁₃×#440	C₂²	1	2	yes	complemented
125	C₄×C₁₃×SD₁₆	C₂²	1	2	yes	—
126	C₄×C₁₃×SD₁₆	C₂²	1	2	yes	—
127	C₄×C₁₃×SD₁₆	C₂²	1	2	yes	complemented
128	C₄×C₁₃×D₈	C₂²	1	2	yes	complemented
129	C₁₃×#433	C₂²	1	2	yes	—
130	C₁₃×#433	C₂²	1	2	yes	complemented
131	C₁₃×#432	C₂²	1	1	yes	characteristic
132	C₁₃×#432	C₂²	1	1	yes	characteristic, complemented
133	C₁₃×#431	C₂²	1	1	yes	characteristic
134	C₁₃×#431	C₂²	1	1	yes	characteristic, complemented
135	C₁₃×#423	C₂²	1	1	yes	characteristic, complemented
136	C₂×C₁₃×C₄⋊C₈	C₂²	1	1	yes	characteristic, complemented
137	C₁₃×#408	C₂²	1	2	yes	—
138	C₁₃×#405	C₂²	1	2	yes	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	—	2	1	no	—
143	C₂×C₁₃×#41	C₂³	1	2	yes	—
144	C₂×C₁₃×#41	C₂³	1	1	yes	characteristic
145	C₂×C₁₃×#41	C₂³	1	1	yes	characteristic
146	C₂²×Q₈×C₁₃	—	2	1	no	—
147	C₂²×D₄×C₁₃	C₂³	1	1	yes	characteristic
148	C₂³×C₄×C₁₃	—	2	1	no	—
149	C₂×C₁₃×Q₁₆	C₂³	1	2	yes	—
150	C₂×C₁₃×SD₁₆	C₂³	1	2	yes	—
151	C₂×C₁₃×SD₁₆	C₂³	1	2	yes	—
152	C₂×C₁₃×SD₁₆	C₂³	1	2	yes	—
153	C₂×C₁₃×SD₁₆	C₂³	1	2	yes	—
154	C₂×C₁₃×D₈	C₂³	1	2	yes	—
155	C₂×C₁₃×D₈	C₂³	1	2	yes	—
156	C₂×C₁₃×D₈	C₂³	1	2	yes	—
157	C₂×C₁₃×M₁₆	C₂³	1	2	yes	—
158	C₂²×C₈×C₁₃	C₂³	1	2	yes	—
159	C₁₃×C₄⋊Q₈	—	2	1	no	—
160	C₁₃×C₄⋊Q₈	—	2	1	no	—
161	C₁₃×C₄⋊Q₈	—	2	1	no	—
162	C₁₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
163	C₁₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
164	C₁₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
165	C₁₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
166	C₁₃×C₄⋊Q₈	C₂³	1	2	yes	—
167	C₁₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
168	C₁₃×#127	—	2	1	no	—
169	C₁₃×#127	C₂³	1	1	yes	characteristic
170	C₁₃×#127	C₂³	1	1	yes	characteristic
171	C₁₃×#127	C₂³	1	1	yes	characteristic
172	C₁₃×#126	—	2	1	no	—
173	C₁₃×#126	—	2	1	no	—
174	C₁₃×#126	—	2	2	no	—
175	C₁₃×#126	—	2	2	no	—
176	C₁₃×#126	—	2	1	no	—
177	C₁₃×#126	—	2	1	no	—
178	C₁₃×#125	—	2	1	no	—
179	C₁₃×#125	—	2	1	no	—
180	C₁₃×#125	—	2	1	no	—
181	C₁₃×#125	C₂³	1	1	yes	characteristic
182	C₁₃×#125	C₂³	1	1	yes	characteristic
183	C₁₃×#124	—	2	1	no	—
184	C₁₃×#124	—	2	1	no	—
185	C₁₃×#124	—	2	1	no	—
186	C₁₃×#124	—	2	2	no	—
187	C₁₃×#124	—	2	2	no	—
188	C₁₃×#124	—	2	1	no	—
189	C₁₃×#124	—	2	1	no	—
190	C₁₃×#124	—	2	1	no	—
191	C₁₃×#124	—	2	1	no	—
192	C₁₃×#124	C₂³	1	1	yes	characteristic
193	C₁₃×#124	C₂³	1	2	yes	—
194	C₁₃×#124	C₂³	1	1	yes	characteristic
195	C₁₃×#123	—	2	1	no	—
196	C₁₃×#123	—	2	1	no	—
197	C₁₃×#123	—	2	1	no	—
198	C₁₃×#123	—	2	1	no	—
199	C₁₃×#123	—	2	1	no	—
200	C₁₃×#123	—	2	1	no	—
201	C₁₃×#123	—	2	1	no	—
202	C₁₃×#123	—	2	1	no	—
203	C₁₃×#123	—	2	2	no	—
204	C₁₃×#123	—	2	2	no	—
205	C₁₃×C₂²⋊Q₈	—	2	1	no	—
206	C₁₃×C₂²⋊Q₈	—	2	2	no	—
207	C₁₃×C₂²⋊Q₈	—	2	1	no	—
208	C₁₃×C₂²⋊Q₈	—	2	1	no	—
209	C₁₃×C₂²⋊Q₈	—	2	1	no	—
210	C₁₃×C₂²⋊Q₈	—	2	1	no	—
211	C₁₃×C₂²⋊Q₈	—	2	2	no	—
212	C₁₃×C₂²⋊Q₈	—	2	2	no	—
213	C₁₃×C₂²⋊Q₈	—	2	1	no	—
214	C₁₃×C₂²⋊Q₈	—	2	1	no	—
215	C₁₃×C₂²⋊Q₈	C₂³	1	2	yes	—
216	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
217	C₁₃×C₂²⋊Q₈	C₂³	1	2	yes	—
218	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
219	C₁₃×#121	—	2	1	no	—
220	C₁₃×#121	—	2	1	no	—
221	C₁₃×#121	—	2	1	no	—
222	C₁₃×#121	—	2	2	no	—
223	C₁₃×#121	—	2	2	no	—
224	C₁₃×#121	—	2	2	no	—
225	C₁₃×#121	—	2	1	no	—
226	C₁₃×#121	—	2	1	no	—
227	C₁₃×#121	—	2	1	no	—
228	C₁₃×#121	—	2	1	no	—
229	C₁₃×#121	—	2	1	no	—
230	C₁₃×#121	—	2	1	no	—
231	C₁₃×#121	—	2	1	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	C₂³	1	2	yes	—
238	C₁₃×#121	C₂³	1	1	yes	characteristic
239	C₁₃×#121	C₂³	1	1	yes	characteristic
240	C₁₃×#121	C₂³	1	1	yes	characteristic
241	C₁₃×#121	C₂³	1	1	yes	characteristic
242	C₁₃×#121	C₂³	1	1	yes	characteristic
243	C₁₃×#121	C₂³	1	2	yes	—
244	C₁₃×#121	C₂³	1	1	yes	characteristic
245	C₁₃×#120	—	2	1	no	—
246	C₁₃×#120	—	2	1	no	—
247	C₁₃×#120	—	2	1	no	—
248	C₁₃×#120	—	2	1	no	—
249	C₄×Q₈×C₁₃	—	2	1	no	—
250	C₄×Q₈×C₁₃	—	2	1	no	—
251	C₄×Q₈×C₁₃	D₄	1	1	yes	characteristic
252	C₄×Q₈×C₁₃	D₄	1	1	yes	characteristic
253	C₄×Q₈×C₁₃	C₂³	1	2	yes	—
254	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
255	C₄×Q₈×C₁₃	C₂³	1	2	yes	—
256	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
257	C₄×D₄×C₁₃	—	2	1	no	—
258	C₄×D₄×C₁₃	—	2	1	no	—
259	C₄×D₄×C₁₃	—	2	1	no	—
260	C₄×D₄×C₁₃	—	2	1	no	—
261	C₄×D₄×C₁₃	—	2	2	no	—
262	C₄×D₄×C₁₃	—	2	2	no	—
263	C₄×D₄×C₁₃	—	2	1	no	—
264	C₄×D₄×C₁₃	—	2	1	no	—
265	C₄×D₄×C₁₃	—	2	1	no	—
266	C₄×D₄×C₁₃	—	2	1	no	—
267	C₄×D₄×C₁₃	—	2	1	no	—
268	C₄×D₄×C₁₃	—	2	1	no	—
269	C₄×D₄×C₁₃	—	2	1	no	—
270	C₄×D₄×C₁₃	—	2	1	no	—
271	C₄×D₄×C₁₃	D₄	1	1	yes	characteristic
272	C₄×D₄×C₁₃	D₄	1	1	yes	characteristic
273	C₄×D₄×C₁₃	D₄	1	1	yes	characteristic
274	C₄×D₄×C₁₃	D₄	1	1	yes	characteristic
275	C₄×D₄×C₁₃	D₄	1	1	yes	characteristic
276	C₄×D₄×C₁₃	D₄	1	1	yes	characteristic
277	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
278	C₄×D₄×C₁₃	C₂³	1	2	yes	—
279	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
280	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
281	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
282	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
283	C₄×D₄×C₁₃	C₂³	1	2	yes	—
284	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
285	C₁₃×#117	—	2	1	no	—
286	C₁₃×#117	—	2	1	no	—
287	C₁₃×#117	—	2	2	no	—
288	C₁₃×#117	—	2	1	no	—
289	C₁₃×#117	—	2	1	no	—
290	C₁₃×#117	—	2	1	no	—
291	C₁₃×#117	C₂³	1	1	yes	characteristic
292	C₁₃×#117	C₂³	1	1	yes	characteristic
293	C₁₃×#117	C₂³	1	1	yes	characteristic
294	C₁₃×#117	C₂³	1	1	yes	characteristic
295	C₂×C₁₃×C₄⋊C₄	—	2	1	no	—
296	C₂×C₁₃×C₄⋊C₄	—	2	2	no	—
297	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
298	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
299	C₂×C₁₃×C₂²⋊C₄	—	2	1	no	—
300	C₂×C₄²×C₁₃	—	2	1	no	—
301	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
302	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
303	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
304	C₁₃×#107	C₂³	1	2	yes	—
305	C₁₃×#107	C₂³	1	2	yes	—
306	C₁₃×#106	C₂³	1	2	yes	—
307	C₁₃×#106	C₂³	1	2	yes	—
308	C₁₃×#106	C₂³	1	2	yes	—
309	C₁₃×#106	C₂³	1	2	yes	—
310	C₁₃×#106	C₂³	1	2	yes	—
311	C₁₃×#106	C₂³	1	2	yes	—
312	C₁₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
313	C₁₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
314	C₁₃×C₄⋊C₈	C₂³	1	2	yes	—
315	C₁₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
316	C₁₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
317	C₁₃×C₄⋊C₈	C₂³	1	2	yes	—
318	C₁₃×#103	C₂³	1	2	yes	—
319	C₁₃×#103	C₂³	1	2	yes	—
320	C₁₃×#103	C₂³	1	2	yes	—
321	C₁₃×#103	C₂³	1	2	yes	—
322	C₁₃×#103	C₂³	1	2	yes	—
323	C₁₃×#103	C₂³	1	2	yes	—
324	C₁₃×#102	C₂³	1	2	yes	—
325	C₁₃×#102	C₂³	1	2	yes	—
326	C₁₃×#102	C₂³	1	2	yes	—
327	C₁₃×#102	C₂³	1	2	yes	—
328	C₁₃×#102	C₂³	1	2	yes	—
329	C₁₃×#102	C₂³	1	2	yes	—
330	C₁₃×#102	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×C₂²⋊C₈	C₂³	1	2	yes	—
335	C₁₃×C₂²⋊C₈	C₂³	1	2	yes	—
336	C₁₃×C₂²⋊C₈	C₂³	1	2	yes	—
337	C₁₃×C₂²⋊C₈	C₂³	1	2	yes	—
338	C₁₃×#97	C₂³	1	2	yes	—
339	C₁₃×#97	C₂³	1	2	yes	—
340	C₄×C₈×C₁₃	C₂³	1	2	yes	—
341	C₄×C₈×C₁₃	C₂³	1	2	yes	—
342	#60989	C₁₃	1	1	yes	maximal, characteristic, direct product factor, Sylow
343	C₂⁴×C₁₃	—	2	1	no	—
344	C₁₃×#41	—	4	1	no	—
345	C₁₃×#41	—	4	1	no	—
346	C₁₃×#41	—	4	1	no	—
347	C₁₃×#41	—	4	1	no	—
348	C₁₃×#41	—	4	2	no	—
349	C₁₃×#41	—	4	2	no	—
350	C₁₃×#41	—	8	2	no	—
351	C₁₃×#41	—	8	2	no	—
352	C₁₃×#41	—	8	2	no	—
353	C₁₃×#41	—	8	2	no	—
354	C₂×Q₈×C₁₃	—	2	1	no	—
355	C₂×Q₈×C₁₃	—	2	1	no	—
356	C₂×Q₈×C₁₃	—	2	2	no	—
357	C₂×Q₈×C₁₃	—	2	1	no	—
358	C₂×Q₈×C₁₃	—	2	1	no	—
359	C₂×Q₈×C₁₃	—	8	2	no	—
360	C₂×Q₈×C₁₃	C₂×D₄	1	1	yes	characteristic
361	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
362	C₂×Q₈×C₁₃	C₂⁴	1	2	yes	—
363	C₂×D₄×C₁₃	—	2	1	no	—
364	C₂×D₄×C₁₃	—	2	2	no	—
365	C₂×D₄×C₁₃	—	2	1	no	—
366	C₂×D₄×C₁₃	—	2	1	no	—
367	C₂×D₄×C₁₃	—	2	1	no	—
368	C₂×D₄×C₁₃	—	2	1	no	—
369	C₂×D₄×C₁₃	—	2	1	no	—
370	C₂×D₄×C₁₃	—	2	1	no	—
371	C₂×D₄×C₁₃	—	2	2	no	—
372	C₂×D₄×C₁₃	—	2	2	no	—
373	C₂×D₄×C₁₃	—	2	1	no	—
374	C₂×D₄×C₁₃	—	2	1	no	—
375	C₂×D₄×C₁₃	—	2	1	no	—
376	C₂×D₄×C₁₃	—	2	1	no	—
377	C₂×D₄×C₁₃	—	2	1	no	—
378	C₂×D₄×C₁₃	—	2	1	no	—
379	C₂×D₄×C₁₃	—	2	1	no	—
380	C₂×D₄×C₁₃	—	4	1	no	—
381	C₂×D₄×C₁₃	—	4	1	no	—
382	C₂×D₄×C₁₃	C₂×D₄	1	1	yes	characteristic
383	C₂×D₄×C₁₃	C₂×D₄	1	1	yes	characteristic
384	C₂×D₄×C₁₃	C₂×D₄	1	1	yes	characteristic
385	C₂×D₄×C₁₃	C₂⁴	1	2	yes	—
386	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
387	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
388	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
389	C₂²×C₄×C₁₃	—	2	1	no	—
390	C₂²×C₄×C₁₃	—	2	2	no	—
391	C₂²×C₄×C₁₃	—	2	1	no	—
392	C₂²×C₄×C₁₃	—	2	1	no	—
393	C₂²×C₄×C₁₃	—	2	2	no	—
394	C₂²×C₄×C₁₃	—	2	1	no	—
395	C₂²×C₄×C₁₃	—	2	1	no	—
396	C₂²×C₄×C₁₃	—	2	1	no	—
397	C₂²×C₄×C₁₃	—	2	2	no	—
398	C₂²×C₄×C₁₃	—	2	2	no	—
399	C₂²×C₄×C₁₃	—	2	1	no	—
400	C₂²×C₄×C₁₃	—	2	1	no	—
401	C₂²×C₄×C₁₃	—	8	2	no	—
402	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
403	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
404	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
405	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
406	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
407	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
408	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
409	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
410	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
411	C₁₃×Q₁₆	—	4	2	no	—
412	C₁₃×SD₁₆	—	4	2	no	—
413	C₁₃×SD₁₆	—	4	2	no	—
414	C₁₃×SD₁₆	—	4	2	no	—
415	C₁₃×SD₁₆	—	4	2	no	—
416	C₁₃×D₈	—	4	2	no	—
417	C₁₃×D₈	—	4	2	no	—
418	C₁₃×D₈	—	4	2	no	—
419	C₁₃×M₁₆	—	4	2	no	—
420	C₂×C₈×C₁₃	—	4	2	no	—
421	C₂×C₈×C₁₃	C₂⁴	1	2	yes	—
422	C₂×C₈×C₁₃	C₂⁴	1	2	yes	—
423	C₂×C₈×C₁₃	C₂⁴	1	2	yes	—
424	C₂×C₈×C₁₃	C₂⁴	1	2	yes	—
425	C₁₃×C₄⋊C₄	—	2	2	no	—
426	C₁₃×C₄⋊C₄	—	2	1	no	—
427	C₁₃×C₄⋊C₄	—	2	1	no	—
428	C₁₃×C₄⋊C₄	—	2	2	no	—
429	C₁₃×C₄⋊C₄	—	2	2	no	—
430	C₁₃×C₄⋊C₄	—	2	2	no	—
431	C₁₃×C₄⋊C₄	—	2	1	no	—
432	C₁₃×C₄⋊C₄	—	2	1	no	—
433	C₁₃×C₄⋊C₄	—	2	1	no	—
434	C₁₃×C₄⋊C₄	—	2	1	no	—
435	C₁₃×C₄⋊C₄	—	2	1	no	—
436	C₁₃×C₄⋊C₄	—	2	1	no	—
437	C₁₃×C₄⋊C₄	—	2	1	no	—
438	C₁₃×C₄⋊C₄	—	2	1	no	—
439	C₁₃×C₄⋊C₄	—	2	1	no	—
440	C₁₃×C₄⋊C₄	—	2	1	no	—
441	C₁₃×C₄⋊C₄	—	2	1	no	—
442	C₁₃×C₄⋊C₄	—	2	1	no	—
443	C₁₃×C₄⋊C₄	—	2	1	no	—
444	C₁₃×C₄⋊C₄	—	2	2	no	—
445	C₁₃×C₄⋊C₄	—	2	2	no	—
446	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
447	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
448	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
449	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
450	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
451	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
452	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
453	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
454	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
455	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
456	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
457	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
458	C₁₃×C₂²⋊C₄	—	2	2	no	—
459	C₁₃×C₂²⋊C₄	—	2	2	no	—
460	C₁₃×C₂²⋊C₄	—	2	1	no	—
461	C₁₃×C₂²⋊C₄	—	2	1	no	—
462	C₁₃×C₂²⋊C₄	—	2	1	no	—
463	C₁₃×C₂²⋊C₄	—	2	1	no	—
464	C₁₃×C₂²⋊C₄	—	2	1	no	—
465	C₁₃×C₂²⋊C₄	—	2	1	no	—
466	C₁₃×C₂²⋊C₄	—	2	1	no	—
467	C₁₃×C₂²⋊C₄	—	2	1	no	—
468	C₁₃×C₂²⋊C₄	—	2	1	no	—
469	C₁₃×C₂²⋊C₄	—	2	2	no	—
470	C₁₃×C₂²⋊C₄	—	2	2	no	—
471	C₁₃×C₂²⋊C₄	—	2	1	no	—
472	C₁₃×C₂²⋊C₄	—	2	1	no	—
473	C₁₃×C₂²⋊C₄	—	2	1	no	—
474	C₁₃×C₂²⋊C₄	—	2	1	no	—
475	C₁₃×C₂²⋊C₄	—	2	1	no	—
476	C₁₃×C₂²⋊C₄	—	2	1	no	—
477	C₁₃×C₂²⋊C₄	—	2	1	no	—
478	C₁₃×C₂²⋊C₄	—	2	1	no	—
479	C₁₃×C₂²⋊C₄	—	2	2	no	—
480	C₁₃×C₂²⋊C₄	—	2	2	no	—
481	C₁₃×C₂²⋊C₄	—	2	1	no	—
482	C₁₃×C₂²⋊C₄	—	2	1	no	—
483	C₁₃×C₂²⋊C₄	—	2	2	no	—
484	C₁₃×C₂²⋊C₄	—	2	2	no	—
485	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
486	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
487	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
488	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
489	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
490	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
491	C₄²×C₁₃	—	2	1	no	—
492	C₄²×C₁₃	—	2	1	no	—
493	C₄²×C₁₃	—	2	1	no	—
494	C₄²×C₁₃	—	2	2	no	—
495	C₄²×C₁₃	—	2	2	no	—
496	C₄²×C₁₃	C₂×D₄	1	1	yes	characteristic
497	C₄²×C₁₃	C₂×D₄	1	1	yes	characteristic
498	C₄²×C₁₃	C₂×D₄	1	1	yes	characteristic
499	C₄²×C₁₃	C₂×D₄	1	1	yes	characteristic
500	C₄²×C₁₃	C₂×D₄	1	1	yes	characteristic
501	C₄²×C₁₃	C₂×D₄	1	1	yes	characteristic
502	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
503	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
504	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
505	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
506	#3511	C₂×C₁₃	1	1	yes	characteristic, complemented
507	#3460	C₂×C₁₃	1	1	yes	characteristic, complemented
508	#3253	C₂×C₁₃	1	1	yes	characteristic, complemented
509	#3252	C₂×C₁₃	1	1	yes	characteristic, complemented
510	#3247	C₂×C₁₃	1	1	yes	characteristic, complemented
511	#3246	C₂×C₁₃	1	1	yes	characteristic, complemented
512	#3244	C₂×C₁₃	1	2	yes	complemented
513	#3238	C₂×C₁₃	1	1	yes	characteristic, complemented
514	#3227	C₂×C₁₃	1	1	yes	characteristic, complemented
515	#3224	C₂×C₁₃	1	2	yes	complemented
516	#3214	C₂×C₁₃	1	1	yes	characteristic, complemented
517	#3212	C₂×C₁₃	1	1	yes	characteristic, complemented
518	#3204	C₂×C₁₃	1	2	yes	complemented
519	#3198	C₂×C₁₃	1	2	yes	complemented
520	#3179	C₂×C₁₃	1	2	yes	complemented
521	#3173	C₂×C₁₃	1	2	yes	complemented
522	#3125	C₂×C₁₃	1	2	yes	complemented
523	#3119	C₂×C₁₃	1	2	yes	complemented
524	#3116	C₂×C₁₃	1	1	yes	characteristic, complemented
525	#3109	C₂×C₁₃	1	1	yes	characteristic, complemented
526	#3106	C₂×C₁₃	1	1	yes	characteristic, complemented
527	#3101	C₂×C₁₃	1	1	yes	characteristic, complemented
528	#2925	C₂×C₁₃	1	1	yes	characteristic, complemented
529	C₂³×C₁₃	—	2	2	no	—
530	C₂³×C₁₃	—	2	1	no	—
531	C₂³×C₁₃	—	2	1	no	—
532	C₂³×C₁₃	—	2	1	no	—
533	C₂³×C₁₃	—	4	2	no	—
534	C₂³×C₁₃	—	8	1	no	—
535	C₂³×C₁₃	—	8	1	no	—
536	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
537	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
538	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
539	Q₈×C₁₃	—	2	1	no	—
540	Q₈×C₁₃	—	2	2	no	—
541	Q₈×C₁₃	—	2	2	no	—
542	Q₈×C₁₃	—	2	1	no	—
543	Q₈×C₁₃	—	4	1	no	—
544	Q₈×C₁₃	—	4	2	no	—
545	Q₈×C₁₃	—	4	2	no	—
546	Q₈×C₁₃	—	8	2	no	—
547	Q₈×C₁₃	—	8	1	no	—
548	Q₈×C₁₃	—	8	1	no	—
549	D₄×C₁₃	—	2	1	no	—
550	D₄×C₁₃	—	2	1	no	—
551	D₄×C₁₃	—	2	2	no	—
552	D₄×C₁₃	—	2	1	no	—
553	D₄×C₁₃	—	2	2	no	—
554	D₄×C₁₃	—	2	1	no	—
555	D₄×C₁₃	—	2	1	no	—
556	D₄×C₁₃	—	2	1	no	—
557	D₄×C₁₃	—	4	1	no	—
558	D₄×C₁₃	—	4	1	no	—
559	D₄×C₁₃	—	4	1	no	—
560	D₄×C₁₃	—	4	2	no	—
561	D₄×C₁₃	—	4	2	no	—
562	D₄×C₁₃	—	4	4	no	—
563	D₄×C₁₃	—	4	2	no	—
564	D₄×C₁₃	—	4	2	no	—
565	D₄×C₁₃	—	8	1	no	—
566	D₄×C₁₃	—	8	1	no	—
567	D₄×C₁₃	—	8	1	no	—
568	D₄×C₁₃	—	8	1	no	—
569	D₄×C₁₃	—	8	1	no	—
570	D₄×C₁₃	—	8	1	no	—
571	D₄×C₁₃	—	8	2	no	—
572	D₄×C₁₃	—	8	2	no	—
573	D₄×C₁₃	—	8	1	no	—
574	D₄×C₁₃	—	8	1	no	—
575	D₄×C₁₃	—	8	1	no	—
576	D₄×C₁₃	—	8	1	no	—
577	C₂×C₄×C₁₃	—	2	2	no	—
578	C₂×C₄×C₁₃	—	2	2	no	—
579	C₂×C₄×C₁₃	—	2	2	no	—
580	C₂×C₄×C₁₃	—	2	1	no	—
581	C₂×C₄×C₁₃	—	2	1	no	—
582	C₂×C₄×C₁₃	—	2	1	no	—
583	C₂×C₄×C₁₃	—	2	1	no	—
584	C₂×C₄×C₁₃	—	2	1	no	—
585	C₂×C₄×C₁₃	—	2	1	no	—
586	C₂×C₄×C₁₃	—	2	1	no	—
587	C₂×C₄×C₁₃	—	2	2	no	—
588	C₂×C₄×C₁₃	—	2	1	no	—
589	C₂×C₄×C₁₃	—	2	1	no	—
590	C₂×C₄×C₁₃	—	2	2	no	—
591	C₂×C₄×C₁₃	—	2	2	no	—
592	C₂×C₄×C₁₃	—	2	1	no	—
593	C₂×C₄×C₁₃	—	2	1	no	—
594	C₂×C₄×C₁₃	—	4	1	no	—
595	C₂×C₄×C₁₃	—	4	1	no	—
596	C₂×C₄×C₁₃	—	4	1	no	—
597	C₂×C₄×C₁₃	—	4	4	no	—
598	C₂×C₄×C₁₃	—	4	2	no	—
599	C₂×C₄×C₁₃	—	4	2	no	—
600	C₂×C₄×C₁₃	—	4	2	no	—
601	C₂×C₄×C₁₃	—	4	2	no	—
602	C₂×C₄×C₁₃	—	8	1	no	—
603	C₂×C₄×C₁₃	—	8	1	no	—
604	C₂×C₄×C₁₃	—	8	1	no	—
605	C₂×C₄×C₁₃	—	8	2	no	—
606	C₂×C₄×C₁₃	—	8	2	no	—
607	C₂×C₄×C₁₃	—	8	1	no	—
608	C₂×C₄×C₁₃	—	8	2	no	—
609	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
610	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
611	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
612	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
613	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
614	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
615	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
616	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
617	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
618	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
619	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
620	C₂×C₄×C₁₃	C₂⁵	1	1	yes	characteristic
621	C₈×C₁₃	—	2	2	no	—
622	C₈×C₁₃	—	2	2	no	—
623	C₈×C₁₃	—	2	2	no	—
624	C₈×C₁₃	—	2	2	no	—
625	#556	—	2	1	no	—
626	#555	—	2	1	no	—
627	#554	—	2	1	no	—
628	#553	—	2	1	no	—
629	#553	—	2	1	no	—
630	#548	—	2	1	no	—
631	#548	—	2	1	no	—
632	#547	—	2	1	no	—
633	#544	C₂²×C₁₃	1	1	yes	characteristic
634	#542	—	2	1	no	—
635	#542	C₂²×C₁₃	1	1	yes	characteristic
636	#542	C₂²×C₁₃	1	1	yes	characteristic
637	#542	C₂²×C₁₃	1	2	yes	—
638	#542	C₂²×C₁₃	1	2	yes	complemented
639	#540	—	2	1	no	—
640	#540	C₂²×C₁₃	1	1	yes	characteristic
641	#540	C₂²×C₁₃	1	1	yes	characteristic
642	#538	—	2	1	no	—
643	#538	—	2	1	no	—
644	#537	C₂²×C₁₃	1	2	yes	—
645	#537	C₂²×C₁₃	1	1	yes	characteristic
646	#535	C₂²×C₁₃	1	1	yes	characteristic
647	#535	C₂²×C₁₃	1	1	yes	characteristic
648	#533	C₂²×C₁₃	1	1	yes	characteristic
649	#533	C₂²×C₁₃	1	1	yes	characteristic, complemented
650	#532	—	2	1	no	—
651	#532	C₂²×C₁₃	1	1	yes	characteristic
652	#532	C₂²×C₁₃	1	1	yes	characteristic
653	#532	C₂²×C₁₃	1	1	yes	characteristic
654	#532	C₂²×C₁₃	1	1	yes	characteristic, complemented
655	#532	C₂²×C₁₃	1	1	yes	characteristic, complemented
656	C₂×C₄⋊Q₈	C₂²×C₁₃	1	1	yes	characteristic, complemented
657	#529	—	2	1	no	—
658	#529	C₂²×C₁₃	1	1	yes	characteristic
659	#529	C₂²×C₁₃	1	1	yes	characteristic
660	#525	—	2	1	no	—
661	#525	—	2	1	no	—
662	#520	C₂²×C₁₃	1	2	yes	complemented
663	C₄×#41	C₂²×C₁₃	1	1	yes	characteristic
664	C₄×#41	C₂²×C₁₃	1	1	yes	characteristic
665	C₂×C₄×D₄	C₂²×C₁₃	1	1	yes	characteristic
666	#501	C₂²×C₁₃	1	2	yes	complemented
667	#498	C₂²×C₁₃	1	2	yes	complemented
668	#496	C₂²×C₁₃	1	2	yes	—
669	#495	C₂²×C₁₃	1	2	yes	—
670	#489	C₂²×C₁₃	1	2	yes	—
671	#489	C₂²×C₁₃	1	2	yes	complemented
672	#488	C₂²×C₁₃	1	2	yes	complemented
673	#486	C₂²×C₁₃	1	2	yes	—
674	#485	C₂²×C₁₃	1	2	yes	—
675	#483	C₂²×C₁₃	1	2	yes	—
676	#483	C₂²×C₁₃	1	2	yes	complemented
677	#482	C₂²×C₁₃	1	2	yes	—
678	#481	C₂²×C₁₃	1	2	yes	—
679	#481	C₂²×C₁₃	1	2	yes	—
680	#481	C₂²×C₁₃	1	2	yes	complemented
681	#480	C₂²×C₁₃	1	2	yes	—
682	#479	C₂²×C₁₃	1	2	yes	complemented
683	#478	C₂²×C₁₃	1	2	yes	complemented
684	#477	C₂²×C₁₃	1	1	yes	characteristic, complemented
685	#477	C₂²×C₁₃	1	1	yes	characteristic, complemented
686	#476	C₂²×C₁₃	1	1	yes	characteristic
687	#476	C₂²×C₁₃	1	1	yes	characteristic
688	#476	C₂²×C₁₃	1	1	yes	characteristic
689	#476	C₂²×C₁₃	1	1	yes	characteristic
690	#476	C₂²×C₁₃	1	1	yes	characteristic, complemented
691	#476	C₂²×C₁₃	1	1	yes	characteristic, complemented
692	#476	C₂²×C₁₃	1	2	yes	complemented
693	#475	C₂²×C₁₃	1	2	yes	complemented
694	#470	C₂²×C₁₃	1	2	yes	complemented
695	#469	C₂²×C₁₃	1	2	yes	—
696	#469	C₂²×C₁₃	1	2	yes	complemented
697	#468	C₂²×C₁₃	1	2	yes	—
698	#466	C₂²×C₁₃	1	2	yes	—
699	#465	C₂²×C₁₃	1	2	yes	—
700	#465	C₂²×C₁₃	1	2	yes	complemented
701	#465	C₂²×C₁₃	1	2	yes	complemented
702	#464	C₂²×C₁₃	1	2	yes	—
703	#463	C₂²×C₁₃	1	2	yes	—
704	#462	C₂²×C₁₃	1	1	yes	characteristic, complemented
705	#461	C₂²×C₁₃	1	1	yes	characteristic
706	#461	C₂²×C₁₃	1	1	yes	characteristic
707	#461	C₂²×C₁₃	1	1	yes	characteristic, complemented
708	#460	C₂²×C₁₃	1	2	yes	—
709	#460	C₂²×C₁₃	1	1	yes	characteristic, complemented
710	#459	C₂²×C₁₃	1	1	yes	characteristic
711	#459	C₂²×C₁₃	1	1	yes	characteristic
712	#459	C₂²×C₁₃	1	2	yes	—
713	#459	C₂²×C₁₃	1	1	yes	characteristic, complemented
714	#452	C₂²×C₁₃	1	2	yes	—
715	#452	C₂²×C₁₃	1	2	yes	complemented
716	#450	C₂²×C₁₃	1	2	yes	—
717	#449	C₂²×C₁₃	1	2	yes	—
718	#449	C₂²×C₁₃	1	2	yes	—
719	#449	C₂²×C₁₃	1	2	yes	—
720	#449	C₂²×C₁₃	1	2	yes	complemented
721	#447	C₂²×C₁₃	1	2	yes	—
722	#442	C₂²×C₁₃	1	2	yes	—
723	#442	C₂²×C₁₃	1	2	yes	—
724	#441	C₂²×C₁₃	1	2	yes	complemented
725	#440	C₂²×C₁₃	1	2	yes	complemented
726	C₄×SD₁₆	C₂²×C₁₃	1	2	yes	—
727	C₄×SD₁₆	C₂²×C₁₃	1	2	yes	—
728	C₄×SD₁₆	C₂²×C₁₃	1	2	yes	complemented
729	C₄×D₈	C₂²×C₁₃	1	2	yes	complemented
730	#433	C₂²×C₁₃	1	2	yes	—
731	#433	C₂²×C₁₃	1	2	yes	complemented
732	#432	C₂²×C₁₃	1	1	yes	characteristic
733	#432	C₂²×C₁₃	1	1	yes	characteristic, complemented
734	#431	C₂²×C₁₃	1	1	yes	characteristic
735	#431	C₂²×C₁₃	1	1	yes	characteristic, complemented
736	#423	C₂²×C₁₃	1	1	yes	characteristic, complemented
737	C₂×C₄⋊C₈	C₂²×C₁₃	1	1	yes	characteristic, complemented
738	#408	C₂²×C₁₃	1	2	yes	—
739	#405	C₂²×C₁₃	1	2	yes	complemented
740	C₂²×C₁₃	—	2	1	no	—
741	C₂²×C₁₃	—	2	1	no	—
742	C₂²×C₁₃	—	2	1	no	—
743	C₂²×C₁₃	—	2	1	no	—
744	C₂²×C₁₃	—	2	1	no	—
745	C₂²×C₁₃	—	2	1	no	—
746	C₂²×C₁₃	—	2	1	no	—
747	C₂²×C₁₃	—	2	1	no	—
748	C₂²×C₁₃	—	2	1	no	—
749	C₂²×C₁₃	—	4	2	no	—
750	C₂²×C₁₃	—	4	1	no	—
751	C₂²×C₁₃	—	4	1	no	—
752	C₂²×C₁₃	—	4	1	no	—
753	C₂²×C₁₃	—	4	2	no	—
754	C₂²×C₁₃	—	4	1	no	—
755	C₂²×C₁₃	—	4	1	no	—
756	C₂²×C₁₃	—	4	1	no	—
757	C₂²×C₁₃	—	4	1	no	—
758	C₂²×C₁₃	—	4	1	no	—
759	C₂²×C₁₃	—	4	1	no	—
760	C₂²×C₁₃	—	4	2	no	—
761	C₂²×C₁₃	—	8	4	no	—
762	C₂²×C₁₃	C₂³×D₄	1	1	yes	characteristic
763	C₄×C₁₃	—	2	1	no	—
764	C₄×C₁₃	—	2	1	no	—
765	C₄×C₁₃	—	2	1	no	—
766	C₄×C₁₃	—	2	1	no	—
767	C₄×C₁₃	—	2	1	no	—
768	C₄×C₁₃	—	2	1	no	—
769	C₄×C₁₃	—	2	1	no	—
770	C₄×C₁₃	—	2	1	no	—
771	C₄×C₁₃	—	2	1	no	—
772	C₄×C₁₃	—	2	1	no	—
773	C₄×C₁₃	—	4	2	no	—
774	C₄×C₁₃	—	4	2	no	—
775	C₄×C₁₃	—	4	1	no	—
776	C₄×C₁₃	—	4	1	no	—
777	C₄×C₁₃	—	4	2	no	—
778	C₄×C₁₃	—	4	1	no	—
779	C₄×C₁₃	—	4	1	no	—
780	C₄×C₁₃	—	4	1	no	—
781	C₄×C₁₃	#577	1	2	yes	—
782	C₄×C₁₃	#585	1	1	yes	characteristic
783	C₄×C₁₃	#585	1	1	yes	characteristic
784	C₂×#41	—	2	1	no	—
785	C₂×#41	—	2	1	no	—
786	C₂×#41	—	2	1	no	—
787	C₂×#41	—	2	1	no	—
788	C₂×#41	C₂³×C₁₃	1	1	yes	characteristic
789	C₂×#41	C₂³×C₁₃	1	2	yes	—
790	C₂×#41	C₂³×C₁₃	1	1	yes	characteristic
791	C₂²×Q₈	—	2	1	no	—
792	C₂²×D₄	C₂³×C₁₃	1	1	yes	characteristic
793	C₂³×C₄	—	2	1	no	—
794	C₂×Q₁₆	C₂³×C₁₃	1	2	yes	—
795	C₂×SD₁₆	C₂³×C₁₃	1	2	yes	—
796	C₂×SD₁₆	C₂³×C₁₃	1	2	yes	—
797	C₂×SD₁₆	C₂³×C₁₃	1	2	yes	—
798	C₂×SD₁₆	C₂³×C₁₃	1	2	yes	—
799	C₂×D₈	C₂³×C₁₃	1	2	yes	—
800	C₂×D₈	C₂³×C₁₃	1	2	yes	—
801	C₂×D₈	C₂³×C₁₃	1	2	yes	—
802	C₂×M₁₆	C₂³×C₁₃	1	2	yes	—
803	C₂²×C₈	C₂³×C₁₃	1	2	yes	—
804	C₄⋊Q₈	—	2	1	no	—
805	C₄⋊Q₈	—	2	1	no	—
806	C₄⋊Q₈	—	2	1	no	—
807	C₄⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
808	C₄⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
809	C₄⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
810	C₄⋊Q₈	C₂³×C₁₃	1	2	yes	—
811	C₄⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
812	C₄⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
813	#127	—	2	1	no	—
814	#127	C₂³×C₁₃	1	1	yes	characteristic
815	#127	C₂³×C₁₃	1	1	yes	characteristic
816	#127	C₂³×C₁₃	1	1	yes	characteristic
817	#126	—	2	1	no	—
818	#126	—	2	1	no	—
819	#126	—	2	2	no	—
820	#126	—	2	2	no	—
821	#126	—	2	1	no	—
822	#126	—	2	1	no	—
823	#125	—	2	1	no	—
824	#125	—	2	1	no	—
825	#125	—	2	1	no	—
826	#125	C₂³×C₁₃	1	1	yes	characteristic
827	#125	C₂³×C₁₃	1	1	yes	characteristic
828	#124	—	2	1	no	—
829	#124	—	2	1	no	—
830	#124	—	2	1	no	—
831	#124	—	2	2	no	—
832	#124	—	2	2	no	—
833	#124	—	2	1	no	—
834	#124	—	2	1	no	—
835	#124	—	2	1	no	—
836	#124	—	2	1	no	—
837	#124	C₂³×C₁₃	1	1	yes	characteristic
838	#124	C₂³×C₁₃	1	1	yes	characteristic
839	#124	C₂³×C₁₃	1	2	yes	—
840	#123	—	2	1	no	—
841	#123	—	2	1	no	—
842	#123	—	2	1	no	—
843	#123	—	2	1	no	—
844	#123	—	2	1	no	—
845	#123	—	2	1	no	—
846	#123	—	2	1	no	—
847	#123	—	2	1	no	—
848	#123	—	2	2	no	—
849	#123	—	2	2	no	—
850	C₂²⋊Q₈	—	2	1	no	—
851	C₂²⋊Q₈	—	2	2	no	—
852	C₂²⋊Q₈	—	2	1	no	—
853	C₂²⋊Q₈	—	2	1	no	—
854	C₂²⋊Q₈	—	2	1	no	—
855	C₂²⋊Q₈	—	2	1	no	—
856	C₂²⋊Q₈	—	2	2	no	—
857	C₂²⋊Q₈	—	2	2	no	—
858	C₂²⋊Q₈	—	2	1	no	—
859	C₂²⋊Q₈	—	2	1	no	—
860	C₂²⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
861	C₂²⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
862	C₂²⋊Q₈	C₂³×C₁₃	1	2	yes	—
863	C₂²⋊Q₈	C₂³×C₁₃	1	2	yes	—
864	#121	—	2	1	no	—
865	#121	—	2	1	no	—
866	#121	—	2	1	no	—
867	#121	—	2	2	no	—
868	#121	—	2	2	no	—
869	#121	—	2	2	no	—
870	#121	—	2	1	no	—
871	#121	—	2	1	no	—
872	#121	—	2	1	no	—
873	#121	—	2	1	no	—
874	#121	—	2	1	no	—
875	#121	—	2	1	no	—
876	#121	—	2	1	no	—
877	#121	—	2	1	no	—
878	#121	—	2	1	no	—
879	#121	—	2	1	no	—
880	#121	—	2	1	no	—
881	#121	—	2	1	no	—
882	#121	C₂³×C₁₃	1	1	yes	characteristic
883	#121	C₂³×C₁₃	1	1	yes	characteristic
884	#121	C₂³×C₁₃	1	1	yes	characteristic
885	#121	C₂³×C₁₃	1	1	yes	characteristic
886	#121	C₂³×C₁₃	1	1	yes	characteristic
887	#121	C₂³×C₁₃	1	1	yes	characteristic
888	#121	C₂³×C₁₃	1	2	yes	—
889	#121	C₂³×C₁₃	1	2	yes	—
890	#120	—	2	1	no	—
891	#120	—	2	1	no	—
892	#120	—	2	1	no	—
893	#120	—	2	1	no	—
894	C₄×Q₈	—	2	1	no	—
895	C₄×Q₈	—	2	1	no	—
896	C₄×Q₈	D₄×C₁₃	1	1	yes	characteristic
897	C₄×Q₈	D₄×C₁₃	1	1	yes	characteristic
898	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
899	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
900	C₄×Q₈	C₂³×C₁₃	1	2	yes	—
901	C₄×Q₈	C₂³×C₁₃	1	2	yes	—
902	C₄×D₄	—	2	1	no	—
903	C₄×D₄	—	2	1	no	—
904	C₄×D₄	—	2	1	no	—
905	C₄×D₄	—	2	1	no	—
906	C₄×D₄	—	2	2	no	—
907	C₄×D₄	—	2	2	no	—
908	C₄×D₄	—	2	1	no	—
909	C₄×D₄	—	2	1	no	—
910	C₄×D₄	—	2	1	no	—
911	C₄×D₄	—	2	1	no	—
912	C₄×D₄	—	2	1	no	—
913	C₄×D₄	—	2	1	no	—
914	C₄×D₄	—	2	1	no	—
915	C₄×D₄	—	2	1	no	—
916	C₄×D₄	D₄×C₁₃	1	1	yes	characteristic
917	C₄×D₄	D₄×C₁₃	1	1	yes	characteristic
918	C₄×D₄	D₄×C₁₃	1	1	yes	characteristic
919	C₄×D₄	D₄×C₁₃	1	1	yes	characteristic
920	C₄×D₄	D₄×C₁₃	1	1	yes	characteristic
921	C₄×D₄	D₄×C₁₃	1	1	yes	characteristic
922	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
923	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
924	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
925	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
926	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
927	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
928	C₄×D₄	C₂³×C₁₃	1	2	yes	—
929	C₄×D₄	C₂³×C₁₃	1	2	yes	—
930	#117	—	2	1	no	—
931	#117	—	2	1	no	—
932	#117	—	2	2	no	—
933	#117	—	2	1	no	—
934	#117	—	2	1	no	—
935	#117	—	2	1	no	—
936	#117	C₂³×C₁₃	1	1	yes	characteristic
937	#117	C₂³×C₁₃	1	1	yes	characteristic
938	#117	C₂³×C₁₃	1	1	yes	characteristic
939	#117	C₂³×C₁₃	1	1	yes	characteristic
940	C₂×C₄⋊C₄	—	2	1	no	—
941	C₂×C₄⋊C₄	—	2	2	no	—
942	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
943	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
944	C₂×C₂²⋊C₄	—	2	1	no	—
945	C₂×C₄²	—	2	1	no	—
946	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
947	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
948	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
949	#107	C₂³×C₁₃	1	2	yes	—
950	#107	C₂³×C₁₃	1	2	yes	—
951	#106	C₂³×C₁₃	1	2	yes	—
952	#106	C₂³×C₁₃	1	2	yes	—
953	#106	C₂³×C₁₃	1	2	yes	—
954	#106	C₂³×C₁₃	1	2	yes	—
955	#106	C₂³×C₁₃	1	2	yes	—
956	#106	C₂³×C₁₃	1	2	yes	—
957	C₄⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
958	C₄⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
959	C₄⋊C₈	C₂³×C₁₃	1	2	yes	—
960	C₄⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
961	C₄⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
962	C₄⋊C₈	C₂³×C₁₃	1	2	yes	—
963	#103	C₂³×C₁₃	1	2	yes	—
964	#103	C₂³×C₁₃	1	2	yes	—
965	#103	C₂³×C₁₃	1	2	yes	—
966	#103	C₂³×C₁₃	1	2	yes	—
967	#103	C₂³×C₁₃	1	2	yes	—
968	#103	C₂³×C₁₃	1	2	yes	—
969	#102	C₂³×C₁₃	1	2	yes	—
970	#102	C₂³×C₁₃	1	2	yes	—
971	#102	C₂³×C₁₃	1	2	yes	—
972	#102	C₂³×C₁₃	1	2	yes	—
973	#102	C₂³×C₁₃	1	2	yes	—
974	#102	C₂³×C₁₃	1	2	yes	—
975	#102	C₂³×C₁₃	1	2	yes	—
976	#102	C₂³×C₁₃	1	2	yes	—
977	#102	C₂³×C₁₃	1	2	yes	—
978	#102	C₂³×C₁₃	1	2	yes	—
979	C₂²⋊C₈	C₂³×C₁₃	1	2	yes	—
980	C₂²⋊C₈	C₂³×C₁₃	1	2	yes	—
981	C₂²⋊C₈	C₂³×C₁₃	1	2	yes	—
982	C₂²⋊C₈	C₂³×C₁₃	1	2	yes	—
983	#97	C₂³×C₁₃	1	2	yes	—
984	#97	C₂³×C₁₃	1	2	yes	—
985	C₄×C₈	C₂³×C₁₃	1	2	yes	—
986	C₄×C₈	C₂³×C₁₃	1	2	yes	—
987	C₂×C₁₃	—	4	1	no	—
988	C₂×C₁₃	—	4	1	no	—
989	C₂×C₁₃	—	4	1	no	—
990	C₂×C₁₃	—	8	2	no	—
991	C₂×C₁₃	—	8	1	no	—
992	C₂×C₁₃	—	8	1	no	—
993	C₂×C₁₃	—	8	1	no	—
994	C₂×C₁₃	#3449	1	1	yes	characteristic
995	C₂×C₁₃	C₂×#577	1	1	yes	characteristic
996	C₂×C₁₃	#3585	1	1	yes	characteristic
997	C₂⁴	—	2	1	no	—
998	#41	—	4	1	no	—
999	#41	—	4	1	no	—
1000	#41	—	4	1	no	—
1001	#41	—	4	1	no	—
1002	#41	—	4	2	no	—
1003	#41	—	4	2	no	—
1004	#41	—	8	2	no	—
1005	#41	—	8	2	no	—
1006	#41	—	8	2	no	—
1007	#41	—	8	2	no	—
1008	C₂×Q₈	—	2	1	no	—
1009	C₂×Q₈	—	2	1	no	—
1010	C₂×Q₈	—	2	2	no	—
1011	C₂×Q₈	—	2	1	no	—
1012	C₂×Q₈	—	2	1	no	—
1013	C₂×Q₈	—	8	2	no	—
1014	C₂×Q₈	C₂×D₄×C₁₃	1	1	yes	characteristic
1015	C₂×Q₈	C₂⁴×C₁₃	1	1	yes	characteristic
1016	C₂×Q₈	C₂⁴×C₁₃	1	2	yes	—
1017	C₂×D₄	—	2	1	no	—
1018	C₂×D₄	—	2	2	no	—
1019	C₂×D₄	—	2	1	no	—
1020	C₂×D₄	—	2	1	no	—
1021	C₂×D₄	—	2	1	no	—
1022	C₂×D₄	—	2	1	no	—
1023	C₂×D₄	—	2	1	no	—
1024	C₂×D₄	—	2	1	no	—
1025	C₂×D₄	—	2	2	no	—
1026	C₂×D₄	—	2	2	no	—
1027	C₂×D₄	—	2	1	no	—
1028	C₂×D₄	—	2	1	no	—
1029	C₂×D₄	—	2	1	no	—
1030	C₂×D₄	—	2	1	no	—
1031	C₂×D₄	—	2	1	no	—
1032	C₂×D₄	—	2	1	no	—
1033	C₂×D₄	—	2	1	no	—
1034	C₂×D₄	—	4	1	no	—
1035	C₂×D₄	—	4	1	no	—
1036	C₂×D₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1037	C₂×D₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1038	C₂×D₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1039	C₂×D₄	C₂⁴×C₁₃	1	2	yes	—
1040	C₂×D₄	C₂⁴×C₁₃	1	1	yes	characteristic
1041	C₂×D₄	C₂⁴×C₁₃	1	1	yes	characteristic
1042	C₂×D₄	C₂⁴×C₁₃	1	1	yes	characteristic
1043	C₂²×C₄	—	2	1	no	—
1044	C₂²×C₄	—	2	2	no	—
1045	C₂²×C₄	—	2	1	no	—
1046	C₂²×C₄	—	2	1	no	—
1047	C₂²×C₄	—	2	2	no	—
1048	C₂²×C₄	—	2	1	no	—
1049	C₂²×C₄	—	2	1	no	—
1050	C₂²×C₄	—	2	1	no	—
1051	C₂²×C₄	—	2	2	no	—
1052	C₂²×C₄	—	2	2	no	—
1053	C₂²×C₄	—	2	1	no	—
1054	C₂²×C₄	—	2	1	no	—
1055	C₂²×C₄	—	8	2	no	—
1056	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1057	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1058	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1059	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1060	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1061	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1062	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1063	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1064	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1065	Q₁₆	—	4	2	no	—
1066	SD₁₆	—	4	2	no	—
1067	SD₁₆	—	4	2	no	—
1068	SD₁₆	—	4	2	no	—
1069	SD₁₆	—	4	2	no	—
1070	D₈	—	4	2	no	—
1071	D₈	—	4	2	no	—
1072	D₈	—	4	2	no	—
1073	M₁₆	—	4	2	no	—
1074	C₂×C₈	—	4	2	no	—
1075	C₂×C₈	C₂⁴×C₁₃	1	2	yes	—
1076	C₂×C₈	C₂⁴×C₁₃	1	2	yes	—
1077	C₂×C₈	C₂⁴×C₁₃	1	2	yes	—
1078	C₂×C₈	C₂⁴×C₁₃	1	2	yes	—
1079	C₄⋊C₄	—	2	2	no	—
1080	C₄⋊C₄	—	2	1	no	—
1081	C₄⋊C₄	—	2	1	no	—
1082	C₄⋊C₄	—	2	2	no	—
1083	C₄⋊C₄	—	2	2	no	—
1084	C₄⋊C₄	—	2	2	no	—
1085	C₄⋊C₄	—	2	1	no	—
1086	C₄⋊C₄	—	2	1	no	—
1087	C₄⋊C₄	—	2	1	no	—
1088	C₄⋊C₄	—	2	1	no	—
1089	C₄⋊C₄	—	2	1	no	—
1090	C₄⋊C₄	—	2	1	no	—
1091	C₄⋊C₄	—	2	1	no	—
1092	C₄⋊C₄	—	2	1	no	—
1093	C₄⋊C₄	—	2	1	no	—
1094	C₄⋊C₄	—	2	1	no	—
1095	C₄⋊C₄	—	2	1	no	—
1096	C₄⋊C₄	—	2	1	no	—
1097	C₄⋊C₄	—	2	1	no	—
1098	C₄⋊C₄	—	2	2	no	—
1099	C₄⋊C₄	—	2	2	no	—
1100	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1101	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1102	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1103	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1104	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1105	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1106	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
1107	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
1108	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1109	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1110	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1111	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1112	C₂²⋊C₄	—	2	2	no	—
1113	C₂²⋊C₄	—	2	2	no	—
1114	C₂²⋊C₄	—	2	1	no	—
1115	C₂²⋊C₄	—	2	1	no	—
1116	C₂²⋊C₄	—	2	1	no	—
1117	C₂²⋊C₄	—	2	1	no	—
1118	C₂²⋊C₄	—	2	1	no	—
1119	C₂²⋊C₄	—	2	1	no	—
1120	C₂²⋊C₄	—	2	1	no	—
1121	C₂²⋊C₄	—	2	1	no	—
1122	C₂²⋊C₄	—	2	1	no	—
1123	C₂²⋊C₄	—	2	2	no	—
1124	C₂²⋊C₄	—	2	2	no	—
1125	C₂²⋊C₄	—	2	1	no	—
1126	C₂²⋊C₄	—	2	1	no	—
1127	C₂²⋊C₄	—	2	1	no	—
1128	C₂²⋊C₄	—	2	1	no	—
1129	C₂²⋊C₄	—	2	1	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	2	no	—
1138	C₂²⋊C₄	—	2	2	no	—
1139	C₂²⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1140	C₂²⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1141	C₂²⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1142	C₂²⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1143	C₂²⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1144	C₂²⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1145	C₄²	—	2	1	no	—
1146	C₄²	—	2	1	no	—
1147	C₄²	—	2	1	no	—
1148	C₄²	—	2	2	no	—
1149	C₄²	—	2	2	no	—
1150	C₄²	C₂×D₄×C₁₃	1	1	yes	characteristic
1151	C₄²	C₂×D₄×C₁₃	1	1	yes	characteristic
1152	C₄²	C₂×D₄×C₁₃	1	1	yes	characteristic
1153	C₄²	C₂×D₄×C₁₃	1	1	yes	characteristic
1154	C₄²	C₂×D₄×C₁₃	1	1	yes	characteristic
1155	C₄²	C₂×D₄×C₁₃	1	1	yes	characteristic
1156	C₄²	C₂⁴×C₁₃	1	1	yes	characteristic
1157	C₄²	C₂⁴×C₁₃	1	1	yes	characteristic
1158	C₄²	C₂⁴×C₁₃	1	1	yes	characteristic
1159	C₄²	C₂⁴×C₁₃	1	1	yes	characteristic
1160	C₁₃	#60989	1	1	yes	characteristic, direct product factor, Sylow
1161	C₂³	—	2	2	no	—
1162	C₂³	—	2	1	no	—
1163	C₂³	—	2	1	no	—
1164	C₂³	—	2	1	no	—
1165	C₂³	—	4	2	no	—
1166	C₂³	—	8	1	no	—
1167	C₂³	—	8	1	no	—
1168	C₂³	C₂²×D₄×C₁₃	1	1	yes	characteristic
1169	C₂³	C₂²×D₄×C₁₃	1	1	yes	characteristic
1170	C₂³	C₂²×D₄×C₁₃	1	1	yes	characteristic
1171	Q₈	—	2	1	no	—
1172	Q₈	—	2	2	no	—
1173	Q₈	—	2	2	no	—
1174	Q₈	—	2	1	no	—
1175	Q₈	—	4	1	no	—
1176	Q₈	—	4	2	no	—
1177	Q₈	—	4	2	no	—
1178	Q₈	—	8	2	no	—
1179	Q₈	—	8	1	no	—
1180	Q₈	—	8	1	no	—
1181	D₄	—	2	1	no	—
1182	D₄	—	2	1	no	—
1183	D₄	—	2	2	no	—
1184	D₄	—	2	1	no	—
1185	D₄	—	2	2	no	—
1186	D₄	—	2	1	no	—
1187	D₄	—	2	1	no	—
1188	D₄	—	2	1	no	—
1189	D₄	—	4	1	no	—
1190	D₄	—	4	1	no	—
1191	D₄	—	4	1	no	—
1192	D₄	—	4	2	no	—
1193	D₄	—	4	2	no	—
1194	D₄	—	4	4	no	—
1195	D₄	—	4	2	no	—
1196	D₄	—	4	2	no	—
1197	D₄	—	8	1	no	—
1198	D₄	—	8	1	no	—
1199	D₄	—	8	1	no	—
1200	D₄	—	8	1	no	—
1201	D₄	—	8	1	no	—
1202	D₄	—	8	1	no	—
1203	D₄	—	8	1	no	—
1204	D₄	—	8	1	no	—
1205	D₄	—	8	1	no	—
1206	D₄	—	8	1	no	—
1207	D₄	—	8	2	no	—
1208	D₄	—	8	2	no	—
1209	C₂×C₄	—	2	2	no	—
1210	C₂×C₄	—	2	2	no	—
1211	C₂×C₄	—	2	2	no	—
1212	C₂×C₄	—	2	1	no	—
1213	C₂×C₄	—	2	1	no	—
1214	C₂×C₄	—	2	1	no	—
1215	C₂×C₄	—	2	1	no	—
1216	C₂×C₄	—	2	1	no	—
1217	C₂×C₄	—	2	1	no	—
1218	C₂×C₄	—	2	1	no	—
1219	C₂×C₄	—	2	2	no	—
1220	C₂×C₄	—	2	1	no	—
1221	C₂×C₄	—	2	1	no	—
1222	C₂×C₄	—	2	2	no	—
1223	C₂×C₄	—	2	2	no	—
1224	C₂×C₄	—	2	1	no	—
1225	C₂×C₄	—	2	1	no	—
1226	C₂×C₄	—	4	1	no	—
1227	C₂×C₄	—	4	1	no	—
1228	C₂×C₄	—	4	1	no	—
1229	C₂×C₄	—	4	4	no	—
1230	C₂×C₄	—	4	2	no	—
1231	C₂×C₄	—	4	2	no	—
1232	C₂×C₄	—	4	2	no	—
1233	C₂×C₄	—	4	2	no	—
1234	C₂×C₄	—	8	1	no	—
1235	C₂×C₄	—	8	1	no	—
1236	C₂×C₄	—	8	1	no	—
1237	C₂×C₄	—	8	2	no	—
1238	C₂×C₄	—	8	2	no	—
1239	C₂×C₄	—	8	1	no	—
1240	C₂×C₄	—	8	2	no	—
1241	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1242	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1243	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1244	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1245	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1246	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1247	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1248	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1249	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1250	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1251	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1252	C₂×C₄	C₂⁵×C₁₃	1	1	yes	characteristic
1253	C₈	—	2	2	no	—
1254	C₈	—	2	2	no	—
1255	C₈	—	2	2	no	—
1256	C₈	—	2	2	no	—
1257	C₂²	—	2	1	no	—
1258	C₂²	—	2	1	no	—
1259	C₂²	—	2	1	no	—
1260	C₂²	—	2	1	no	—
1261	C₂²	—	2	1	no	—
1262	C₂²	—	2	1	no	—
1263	C₂²	—	2	1	no	—
1264	C₂²	—	2	1	no	—
1265	C₂²	—	2	1	no	—
1266	C₂²	—	4	1	no	—
1267	C₂²	—	4	1	no	—
1268	C₂²	—	4	1	no	—
1269	C₂²	—	4	2	no	—
1270	C₂²	—	4	2	no	—
1271	C₂²	—	4	1	no	—
1272	C₂²	—	4	1	no	—
1273	C₂²	—	4	1	no	—
1274	C₂²	—	4	2	no	—
1275	C₂²	—	4	1	no	—
1276	C₂²	—	4	1	no	—
1277	C₂²	—	4	1	no	—
1278	C₂²	—	8	4	no	—
1279	C₂²	C₂³×D₄×C₁₃	1	1	yes	characteristic
1280	C₄	—	2	1	no	—
1281	C₄	—	2	1	no	—
1282	C₄	—	2	1	no	—
1283	C₄	—	2	1	no	—
1284	C₄	—	2	1	no	—
1285	C₄	—	2	1	no	—
1286	C₄	—	2	1	no	—
1287	C₄	—	2	1	no	—
1288	C₄	—	2	1	no	—
1289	C₄	—	2	1	no	—
1290	C₄	—	4	1	no	—
1291	C₄	—	4	1	no	—
1292	C₄	—	4	1	no	—
1293	C₄	—	4	2	no	—
1294	C₄	—	4	2	no	—
1295	C₄	—	4	1	no	—
1296	C₄	—	4	1	no	—
1297	C₄	—	4	2	no	—
1298	C₄	C₁₃×#577	1	2	yes	—
1299	C₄	C₁₃×#585	1	1	yes	characteristic
1300	C₄	C₁₃×#585	1	1	yes	characteristic
1301	C₂	—	4	1	no	—
1302	C₂	—	4	1	no	—
1303	C₂	—	4	1	no	—
1304	C₂	—	8	1	no	—
1305	C₂	—	8	1	no	—
1306	C₂	—	8	1	no	—
1307	C₂	—	8	2	no	—
1308	C₂	C₁₃×#3449	1	1	yes	characteristic
1309	C₂	C₂×C₁₃×#577	1	1	yes	characteristic
1310	C₂	C₁₃×#3585	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂²×C₁₃	C₂³×D₄
commutator, Frattini, cosocle	C₂×C₄	C₂⁵×C₁₃
LCS	G ▷ C₂×C₄ ▷ C₂ ▷ C₁
UCS	C₁ ◁ C₂²×C₁₃ ◁ C₄×C₁₃×#41 ◁ G

Complements

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

N	H ≅ G/N	type
1. C₁₃×#3511	C₂	semidirect
2. C₁₃×#3460	C₂	semidirect
3. C₁₃×#3253	C₂	semidirect
4. C₁₃×#3252	C₂	semidirect
5. C₁₃×#3247	C₂	semidirect
6. C₁₃×#3246	C₂	semidirect
7. C₁₃×#3244	C₂	semidirect
8. C₁₃×#3238	C₂	semidirect
9. C₁₃×#3227	C₂	semidirect
10. C₁₃×#3224	C₂	semidirect
11. C₁₃×#3214	C₂	semidirect
12. C₁₃×#3212	C₂	semidirect
13. C₁₃×#3204	C₂	semidirect
14. C₁₃×#3198	C₂	semidirect
15. C₁₃×#3179	C₂	semidirect
16. C₁₃×#3173	C₂	semidirect
17. C₁₃×#3125	C₂	semidirect
18. C₁₃×#3119	C₂	semidirect
19. C₁₃×#3116	C₂	semidirect
20. C₁₃×#3109	C₂	semidirect
21. C₁₃×#3106	C₂	semidirect
22. C₁₃×#3101	C₂	semidirect
23. C₁₃×#2925	C₂	semidirect
37. C₁₃×#542	C₂²	semidirect
48. C₁₃×#533	C₂²	semidirect
53. C₁₃×#532	C₂²	semidirect
54. C₁₃×#532	C₂²	semidirect
55. C₂×C₁₃×C₄⋊Q₈	C₂²	semidirect
61. C₁₃×#520	C₂²	semidirect
65. C₁₃×#501	C₂²	semidirect
66. C₁₃×#498	C₂²	semidirect
70. C₁₃×#489	C₂²	semidirect
71. C₁₃×#488	C₂²	semidirect
75. C₁₃×#483	C₂²	semidirect
79. C₁₃×#481	C₂²	semidirect
81. C₁₃×#479	C₂²	semidirect
82. C₁₃×#478	C₂²	semidirect
83. C₁₃×#477	C₂²	semidirect
84. C₁₃×#477	C₂²	semidirect
89. C₁₃×#476	C₂²	semidirect
90. C₁₃×#476	C₂²	semidirect
91. C₁₃×#476	C₂²	semidirect
92. C₁₃×#475	C₂²	semidirect
93. C₁₃×#470	C₂²	semidirect
95. C₁₃×#469	C₂²	semidirect
99. C₁₃×#465	C₂²	semidirect
100. C₁₃×#465	C₂²	semidirect
103. C₁₃×#462	C₂²	semidirect
106. C₁₃×#461	C₂²	semidirect
108. C₁₃×#460	C₂²	semidirect
112. C₁₃×#459	C₂²	semidirect
114. C₁₃×#452	C₂²	semidirect
119. C₁₃×#449	C₂²	semidirect
123. C₁₃×#441	C₂²	semidirect
124. C₁₃×#440	C₂²	semidirect
127. C₄×C₁₃×SD₁₆	C₂²	semidirect
128. C₄×C₁₃×D₈	C₂²	semidirect
130. C₁₃×#433	C₂²	semidirect
132. C₁₃×#432	C₂²	semidirect
134. C₁₃×#431	C₂²	semidirect
135. C₁₃×#423	C₂²	semidirect
136. C₂×C₁₃×C₄⋊C₈	C₂²	semidirect
138. C₁₃×#405	C₂²	semidirect
342. #60989	C₁₃	direct (N × H)
506. #3511	C₂×C₁₃	semidirect
507. #3460	C₂×C₁₃	semidirect
508. #3253	C₂×C₁₃	semidirect
509. #3252	C₂×C₁₃	semidirect
510. #3247	C₂×C₁₃	semidirect
511. #3246	C₂×C₁₃	semidirect
512. #3244	C₂×C₁₃	semidirect
513. #3238	C₂×C₁₃	semidirect
514. #3227	C₂×C₁₃	semidirect
515. #3224	C₂×C₁₃	semidirect
516. #3214	C₂×C₁₃	semidirect
517. #3212	C₂×C₁₃	semidirect
518. #3204	C₂×C₁₃	semidirect
519. #3198	C₂×C₁₃	semidirect
520. #3179	C₂×C₁₃	semidirect
521. #3173	C₂×C₁₃	semidirect
522. #3125	C₂×C₁₃	semidirect
523. #3119	C₂×C₁₃	semidirect
524. #3116	C₂×C₁₃	semidirect
525. #3109	C₂×C₁₃	semidirect
526. #3106	C₂×C₁₃	semidirect
527. #3101	C₂×C₁₃	semidirect
528. #2925	C₂×C₁₃	semidirect
638. #542	C₂²×C₁₃	semidirect
649. #533	C₂²×C₁₃	semidirect
654. #532	C₂²×C₁₃	semidirect
655. #532	C₂²×C₁₃	semidirect
656. C₂×C₄⋊Q₈	C₂²×C₁₃	semidirect
662. #520	C₂²×C₁₃	semidirect
666. #501	C₂²×C₁₃	semidirect
667. #498	C₂²×C₁₃	semidirect
671. #489	C₂²×C₁₃	semidirect
672. #488	C₂²×C₁₃	semidirect
676. #483	C₂²×C₁₃	semidirect
680. #481	C₂²×C₁₃	semidirect
682. #479	C₂²×C₁₃	semidirect
683. #478	C₂²×C₁₃	semidirect
684. #477	C₂²×C₁₃	semidirect
685. #477	C₂²×C₁₃	semidirect
690. #476	C₂²×C₁₃	semidirect
691. #476	C₂²×C₁₃	semidirect
692. #476	C₂²×C₁₃	semidirect
693. #475	C₂²×C₁₃	semidirect
694. #470	C₂²×C₁₃	semidirect
696. #469	C₂²×C₁₃	semidirect
700. #465	C₂²×C₁₃	semidirect
701. #465	C₂²×C₁₃	semidirect
704. #462	C₂²×C₁₃	semidirect
707. #461	C₂²×C₁₃	semidirect
709. #460	C₂²×C₁₃	semidirect
713. #459	C₂²×C₁₃	semidirect
715. #452	C₂²×C₁₃	semidirect
720. #449	C₂²×C₁₃	semidirect
724. #441	C₂²×C₁₃	semidirect
725. #440	C₂²×C₁₃	semidirect
728. C₄×SD₁₆	C₂²×C₁₃	semidirect
729. C₄×D₈	C₂²×C₁₃	semidirect
731. #433	C₂²×C₁₃	semidirect
733. #432	C₂²×C₁₃	semidirect
735. #431	C₂²×C₁₃	semidirect
736. #423	C₂²×C₁₃	semidirect
737. C₂×C₄⋊C₈	C₂²×C₁₃	semidirect
739. #405	C₂²×C₁₃	semidirect
1160. C₁₃	#60989	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×#3511	2
C₁₃×#3460	2
C₁₃×#3253	2
C₁₃×#3252	2
C₁₃×#3247	2
C₁₃×#3246	2
C₁₃×#3244	2
C₁₃×#3238	2
C₁₃×#3227	2
C₁₃×#3224	2
C₁₃×#3214	2
C₁₃×#3212	2
C₁₃×#3204	2
C₁₃×#3198	2
C₁₃×#3179	2
C₁₃×#3173	2
C₁₃×#3125	2
C₁₃×#3119	2
C₁₃×#3116	2
C₁₃×#3109	2
C₁₃×#3106	2
C₁₃×#3101	2
C₁₃×#2925	2
#60989	13

Subgroups — C13×#60989 #15747328

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₃×#60989 #15747328