Subgroups — C₁₃×#60976 #15747315

Order 3328.

1792 conjugacy classes of subgroups.

The subgroup lattice has 1298 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₁₃×#3494	C₂	1	1	yes	maximal, characteristic, complemented
2	C₂×C₁₃×#542	C₂	1	1	yes	maximal, characteristic, complemented
3	C₁₃×#3262	C₂	1	2	yes	maximal, complemented
4	C₁₃×#3257	C₂	1	2	yes	maximal, complemented
5	C₁₃×#3243	C₂	1	2	yes	maximal, complemented
6	C₁₃×#3238	C₂	1	1	yes	maximal, characteristic, complemented
7	C₁₃×#3226	C₂	1	1	yes	maximal, characteristic, complemented
8	C₁₃×#3224	C₂	1	2	yes	maximal, complemented
9	C₁₃×#3213	C₂	1	1	yes	maximal, characteristic, complemented
10	C₁₃×#3211	C₂	1	1	yes	maximal, characteristic, complemented
11	C₁₃×#3194	C₂	1	1	yes	maximal, characteristic, complemented
12	C₁₃×#3193	C₂	1	1	yes	maximal, characteristic, complemented
13	C₁₃×#3190	C₂	1	1	yes	maximal, characteristic, complemented
14	C₁₃×#3186	C₂	1	1	yes	maximal, characteristic, complemented
15	C₁₃×#3179	C₂	1	2	yes	maximal, complemented
16	C₁₃×#3175	C₂	1	2	yes	maximal, complemented
17	C₁₃×#3124	C₂	1	2	yes	maximal, complemented
18	C₁₃×#3118	C₂	1	2	yes	maximal, complemented
19	C₁₃×#3114	C₂	1	1	yes	maximal, characteristic, complemented
20	C₁₃×#3112	C₂	1	1	yes	maximal, characteristic, complemented
21	C₁₃×#3108	C₂	1	1	yes	maximal, characteristic, complemented
22	C₁₃×#3100	C₂	1	1	yes	maximal, characteristic, complemented
23	C₁₃×#2924	C₂	1	1	yes	maximal, characteristic, complemented
24	C₁₃×#555	—	2	1	no	—
25	C₁₃×#553	—	2	1	no	—
26	C₁₃×#553	—	2	1	no	—
27	C₁₃×#551	—	2	1	no	—
28	C₁₃×#551	—	2	1	no	—
29	C₁₃×#547	—	2	1	no	—
30	C₁₃×#546	—	2	1	no	—
31	C₁₃×#546	—	2	1	no	—
32	C₁₃×#544	C₂²	1	1	yes	characteristic, complemented
33	C₁₃×#542	—	2	1	no	—
34	C₁₃×#542	—	2	1	no	—
35	C₁₃×#542	—	2	1	no	—
36	C₁₃×#542	—	2	1	no	—
37	C₁₃×#542	C₂²	1	2	yes	—
38	C₁₃×#542	C₂²	1	2	yes	—
39	C₁₃×#542	C₂²	1	1	yes	characteristic, complemented
40	C₁₃×#542	C₂²	1	2	yes	complemented
41	C₁₃×#542	C₂²	1	1	yes	characteristic, complemented
42	C₁₃×#542	C₂²	1	2	yes	complemented
43	C₁₃×#540	C₂²	1	1	yes	characteristic, complemented
44	C₁₃×#540	C₂²	1	1	yes	characteristic, complemented
45	C₁₃×#535	C₂²	1	1	yes	characteristic, complemented
46	C₁₃×#532	C₂²	1	1	yes	characteristic
47	C₁₃×#532	C₂²	1	1	yes	characteristic
48	C₂×C₁₃×C₄⋊Q₈	C₂²	1	1	yes	characteristic, complemented
49	C₁₃×#529	C₂²	1	1	yes	characteristic
50	C₁₃×#529	C₂²	1	1	yes	characteristic
51	C₂×C₁₃×#126	—	2	1	no	—
52	C₂×C₁₃×#124	—	2	1	no	—
53	C₂×C₁₃×#124	C₂²	1	1	yes	characteristic, complemented
54	C₁₃×#525	C₂²	1	1	yes	characteristic
55	C₂×C₁₃×#123	—	2	1	no	—
56	C₂×C₁₃×C₂²⋊Q₈	—	2	1	no	—
57	C₂×C₁₃×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
58	C₂×C₁₃×#121	C₂²	1	1	yes	characteristic
59	C₂×C₁₃×#121	C₂²	1	1	yes	characteristic
60	C₁₃×#520	C₂²	1	1	yes	characteristic, complemented
61	C₁₃×#518	C₂²	1	1	yes	characteristic, complemented
62	C₂×C₄×Q₈×C₁₃	C₂²	1	1	yes	characteristic, complemented
63	C₂×C₄×D₄×C₁₃	C₂²	1	1	yes	characteristic, complemented
64	C₂×C₁₃×#117	C₂²	1	1	yes	characteristic
65	C₁₃×#501	C₂²	1	2	yes	complemented
66	C₁₃×#500	C₂²	1	2	yes	complemented
67	C₁₃×#496	C₂²	1	2	yes	complemented
68	C₁₃×#495	C₂²	1	2	yes	complemented
69	C₁₃×#489	C₂²	1	2	yes	complemented
70	C₁₃×#489	C₂²	1	2	yes	complemented
71	C₁₃×#488	C₂²	1	2	yes	complemented
72	C₁₃×#486	C₂²	1	2	yes	complemented
73	C₁₃×#485	C₂²	1	2	yes	complemented
74	C₁₃×#484	C₂²	1	2	yes	complemented
75	C₁₃×#483	C₂²	1	1	yes	characteristic, complemented
76	C₁₃×#483	C₂²	1	1	yes	characteristic, complemented
77	C₁₃×#482	C₂²	1	2	yes	—
78	C₁₃×#480	C₂²	1	1	yes	characteristic
79	C₁₃×#480	C₂²	1	1	yes	characteristic
80	C₁₃×#480	C₂²	1	1	yes	characteristic
81	C₁₃×#480	C₂²	1	1	yes	characteristic
82	C₁₃×#480	C₂²	1	2	yes	—
83	C₁₃×#480	C₂²	1	1	yes	characteristic, complemented
84	C₁₃×#480	C₂²	1	1	yes	characteristic, complemented
85	C₁₃×#479	C₂²	1	2	yes	complemented
86	C₁₃×#478	C₂²	1	2	yes	complemented
87	C₁₃×#477	C₂²	1	2	yes	complemented
88	C₁₃×#477	C₂²	1	2	yes	complemented
89	C₁₃×#476	C₂²	1	2	yes	complemented
90	C₁₃×#474	C₂²	1	2	yes	complemented
91	C₁₃×#474	C₂²	1	2	yes	complemented
92	C₁₃×#474	C₂²	1	2	yes	complemented
93	C₁₃×#469	C₂²	1	2	yes	complemented
94	C₁₃×#468	C₂²	1	2	yes	complemented
95	C₁₃×#468	C₂²	1	2	yes	complemented
96	C₁₃×#468	C₂²	1	2	yes	complemented
97	C₁₃×#467	C₂²	1	2	yes	complemented
98	C₁₃×#466	C₂²	1	2	yes	—
99	C₁₃×#466	C₂²	1	2	yes	—
100	C₁₃×#465	C₂²	1	2	yes	complemented
101	C₁₃×#464	C₂²	1	2	yes	complemented
102	C₁₃×#464	C₂²	1	2	yes	complemented
103	C₁₃×#463	C₂²	1	2	yes	complemented
104	C₁₃×#463	C₂²	1	2	yes	complemented
105	C₁₃×#463	C₂²	1	2	yes	complemented
106	C₁₃×#463	C₂²	1	2	yes	complemented
107	C₁₃×#460	C₂²	1	2	yes	complemented
108	C₁₃×#459	C₂²	1	2	yes	complemented
109	C₁₃×#452	C₂²	1	2	yes	complemented
110	C₁₃×#451	C₂²	1	1	yes	characteristic, complemented
111	C₁₃×#450	C₂²	1	1	yes	characteristic, complemented
112	C₁₃×#450	C₂²	1	2	yes	complemented
113	C₁₃×#449	C₂²	1	2	yes	—
114	C₁₃×#448	C₂²	1	1	yes	characteristic
115	C₁₃×#448	C₂²	1	1	yes	characteristic
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
119	C₁₃×#447	C₂²	1	2	yes	—
120	C₁₃×#447	C₂²	1	1	yes	characteristic, complemented
121	C₁₃×#442	C₂²	1	2	yes	complemented
122	C₁₃×#440	C₂²	1	2	yes	complemented
123	C₁₃×#440	C₂²	1	2	yes	complemented
124	C₁₃×#440	C₂²	1	2	yes	complemented
125	C₄×C₁₃×Q₁₆	C₂²	1	2	yes	complemented
126	C₄×C₁₃×SD₁₆	C₂²	1	2	yes	complemented
127	C₄×C₁₃×D₈	C₂²	1	2	yes	complemented
128	C₄×C₁₃×D₈	C₂²	1	2	yes	complemented
129	C₁₃×#433	C₂²	1	2	yes	complemented
130	C₁₃×#433	C₂²	1	2	yes	complemented
131	C₁₃×#432	C₂²	1	1	yes	characteristic, complemented
132	C₁₃×#432	C₂²	1	1	yes	characteristic, complemented
133	C₁₃×#431	C₂²	1	1	yes	characteristic, complemented
134	C₁₃×#431	C₂²	1	1	yes	characteristic, complemented
135	C₁₃×#424	C₂²	1	2	yes	complemented
136	C₁₃×#407	C₂²	1	1	yes	characteristic
137	C₂×C₁₃×C₂²⋊C₈	C₂²	1	1	yes	characteristic
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	C₂³	1	1	yes	characteristic
142	C₂²×Q₈×C₁₃	—	2	1	no	—
143	C₂²×Q₈×C₁₃	C₂³	1	1	yes	characteristic
144	C₂²×D₄×C₁₃	—	2	1	no	—
145	C₂²×D₄×C₁₃	—	2	1	no	—
146	C₂²×D₄×C₁₃	C₂³	1	1	yes	characteristic
147	C₂²×D₄×C₁₃	C₂³	1	1	yes	characteristic
148	C₂³×C₄×C₁₃	—	2	1	no	—
149	C₂³×C₄×C₁₃	C₂³	1	1	yes	characteristic
150	C₂×C₁₃×Q₁₆	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×SD₁₆	C₂³	1	2	yes	—
155	C₂×C₁₃×D₈	C₂³	1	2	yes	—
156	C₂×C₁₃×D₈	C₂³	1	2	yes	—
157	C₂×C₁₃×D₈	C₂³	1	2	yes	—
158	C₂×C₁₃×M₁₆	C₂³	1	2	yes	—
159	C₂²×C₈×C₁₃	C₂³	1	2	yes	—
160	C₁₃×C₄⋊Q₈	—	2	1	no	—
161	C₁₃×C₄⋊Q₈	—	2	1	no	—
162	C₁₃×C₄⋊Q₈	—	2	1	no	—
163	C₁₃×C₄⋊Q₈	C₂³	1	2	yes	—
164	C₁₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
165	C₁₃×C₄⋊Q₈	C₂³	1	2	yes	—
166	C₁₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
167	C₁₃×#127	C₂³	1	1	yes	characteristic
168	C₁₃×#127	C₂³	1	1	yes	characteristic
169	C₁₃×#126	—	2	2	no	—
170	C₁₃×#126	—	2	2	no	—
171	C₁₃×#126	—	2	2	no	—
172	C₁₃×#126	—	2	2	no	—
173	C₁₃×#126	—	2	1	no	—
174	C₁₃×#126	—	2	1	no	—
175	C₁₃×#126	—	2	1	no	—
176	C₁₃×#126	—	2	1	no	—
177	C₁₃×#125	—	2	1	no	—
178	C₁₃×#125	C₂³	1	1	yes	characteristic
179	C₁₃×#125	C₂³	1	1	yes	characteristic
180	C₁₃×#124	—	2	2	no	—
181	C₁₃×#124	—	2	2	no	—
182	C₁₃×#124	—	2	2	no	—
183	C₁₃×#124	—	2	2	no	—
184	C₁₃×#124	—	2	1	no	—
185	C₁₃×#124	—	2	1	no	—
186	C₁₃×#124	—	2	1	no	—
187	C₁₃×#124	—	2	1	no	—
188	C₁₃×#124	—	2	1	no	—
189	C₁₃×#124	—	2	1	no	—
190	C₁₃×#124	C₂³	1	2	yes	—
191	C₁₃×#124	C₂³	1	1	yes	characteristic
192	C₁₃×#124	C₂³	1	2	yes	—
193	C₁₃×#124	C₂³	1	1	yes	characteristic
194	C₁₃×#123	—	2	1	no	—
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	2	no	—
202	C₁₃×#123	—	2	2	no	—
203	C₁₃×#123	—	2	2	no	—
204	C₁₃×#123	—	2	2	no	—
205	C₁₃×#123	—	2	1	no	—
206	C₁₃×#123	—	2	1	no	—
207	C₁₃×C₂²⋊Q₈	—	2	1	no	—
208	C₁₃×C₂²⋊Q₈	—	2	1	no	—
209	C₁₃×C₂²⋊Q₈	—	2	2	no	—
210	C₁₃×C₂²⋊Q₈	—	2	2	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	—	2	1	no	—
216	C₁₃×C₂²⋊Q₈	—	2	1	no	—
217	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
218	C₁₃×C₂²⋊Q₈	C₂³	1	2	yes	—
219	C₁₃×C₂²⋊Q₈	C₂³	1	2	yes	—
220	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
221	C₁₃×#121	—	2	1	no	—
222	C₁₃×#121	—	2	1	no	—
223	C₁₃×#121	—	2	1	no	—
224	C₁₃×#121	—	2	1	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	C₂³	1	1	yes	characteristic
234	C₁₃×#121	C₂³	1	1	yes	characteristic
235	C₁₃×#121	C₂³	1	2	yes	—
236	C₁₃×#121	C₂³	1	1	yes	characteristic
237	C₁₃×#121	C₂³	1	1	yes	characteristic
238	C₁₃×#121	C₂³	1	1	yes	characteristic
239	C₁₃×#121	C₂³	1	1	yes	characteristic
240	C₁₃×#121	C₂³	1	2	yes	—
241	C₁₃×#120	—	2	1	no	—
242	C₁₃×#120	—	2	1	no	—
243	C₁₃×#120	—	2	1	no	—
244	C₄×Q₈×C₁₃	—	2	1	no	—
245	C₄×Q₈×C₁₃	—	2	1	no	—
246	C₄×Q₈×C₁₃	C₂³	1	2	yes	—
247	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
248	C₄×Q₈×C₁₃	C₂³	1	2	yes	—
249	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
250	C₄×D₄×C₁₃	—	2	1	no	—
251	C₄×D₄×C₁₃	—	2	1	no	—
252	C₄×D₄×C₁₃	—	2	1	no	—
253	C₄×D₄×C₁₃	—	2	1	no	—
254	C₄×D₄×C₁₃	—	2	1	no	—
255	C₄×D₄×C₁₃	—	2	1	no	—
256	C₄×D₄×C₁₃	—	2	1	no	—
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	1	no	—
262	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
263	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
264	C₄×D₄×C₁₃	C₂³	1	2	yes	—
265	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
266	C₄×D₄×C₁₃	C₂³	1	2	yes	—
267	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
268	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
269	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
270	C₁₃×#117	—	2	1	no	—
271	C₁₃×#117	—	2	1	no	—
272	C₁₃×#117	—	2	1	no	—
273	C₁₃×#117	D₄	1	1	yes	characteristic
274	C₁₃×#117	D₄	1	1	yes	characteristic
275	C₁₃×#117	D₄	1	1	yes	characteristic
276	C₁₃×#117	D₄	1	1	yes	characteristic
277	C₁₃×#117	C₂³	1	1	yes	characteristic
278	C₁₃×#117	C₂³	1	1	yes	characteristic
279	C₁₃×#117	C₂³	1	1	yes	characteristic
280	C₁₃×#117	C₂³	1	1	yes	characteristic
281	C₁₃×#117	C₂³	1	1	yes	characteristic
282	C₂×C₁₃×C₄⋊C₄	—	2	1	no	—
283	C₂×C₁₃×C₄⋊C₄	—	2	1	no	—
284	C₂×C₁₃×C₄⋊C₄	—	2	1	no	—
285	C₂×C₁₃×C₄⋊C₄	—	2	1	no	—
286	C₂×C₁₃×C₄⋊C₄	D₄	1	1	yes	characteristic
287	C₂×C₁₃×C₄⋊C₄	D₄	1	1	yes	characteristic
288	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
289	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
290	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
291	C₂×C₁₃×C₂²⋊C₄	—	2	1	no	—
292	C₂×C₁₃×C₂²⋊C₄	—	2	1	no	—
293	C₂×C₁₃×C₂²⋊C₄	—	2	1	no	—
294	C₂×C₁₃×C₂²⋊C₄	—	2	1	no	—
295	C₂×C₁₃×C₂²⋊C₄	—	2	1	no	—
296	C₂×C₁₃×C₂²⋊C₄	—	2	1	no	—
297	C₂×C₁₃×C₂²⋊C₄	—	2	1	no	—
298	C₂×C₁₃×C₂²⋊C₄	—	2	1	no	—
299	C₂×C₁₃×C₂²⋊C₄	D₄	1	1	yes	characteristic
300	C₂×C₁₃×C₂²⋊C₄	D₄	1	1	yes	characteristic
301	C₂×C₄²×C₁₃	—	2	1	no	—
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×#107	C₂³	1	2	yes	—
307	C₁₃×#107	C₂³	1	2	yes	—
308	C₁₃×#107	C₂³	1	2	yes	—
309	C₁₃×#107	C₂³	1	2	yes	—
310	C₁₃×#106	C₂³	1	2	yes	—
311	C₁₃×#106	C₂³	1	2	yes	—
312	C₁₃×C₄⋊C₈	C₂³	1	2	yes	—
313	C₁₃×C₄⋊C₈	C₂³	1	2	yes	—
314	C₁₃×C₄⋊C₈	C₂³	1	2	yes	—
315	C₁₃×C₄⋊C₈	C₂³	1	2	yes	—
316	C₁₃×#103	C₂³	1	2	yes	—
317	C₁₃×#103	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×#102	C₂³	1	2	yes	—
323	C₁₃×#102	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×C₂²⋊C₈	C₂³	1	1	yes	characteristic
333	C₁₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
334	C₁₃×C₂²⋊C₈	C₂³	1	2	yes	—
335	C₁₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
336	C₁₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
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	#60976	C₁₃	1	1	yes	maximal, characteristic, direct product factor, Sylow
343	C₂⁴×C₁₃	—	2	1	no	—
344	C₂⁴×C₁₃	—	2	1	no	—
345	C₂⁴×C₁₃	C₂×D₄	1	1	yes	characteristic
346	C₁₃×#41	—	4	2	no	—
347	C₁₃×#41	—	8	2	no	—
348	C₁₃×#41	—	8	2	no	—
349	C₂×Q₈×C₁₃	—	2	1	no	—
350	C₂×Q₈×C₁₃	—	2	2	no	—
351	C₂×Q₈×C₁₃	—	2	2	no	—
352	C₂×Q₈×C₁₃	—	2	1	no	—
353	C₂×Q₈×C₁₃	—	2	1	no	—
354	C₂×Q₈×C₁₃	—	4	2	no	—
355	C₂×Q₈×C₁₃	—	8	2	no	—
356	C₂×Q₈×C₁₃	C₂⁴	1	2	yes	—
357	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
358	C₂×D₄×C₁₃	—	2	1	no	—
359	C₂×D₄×C₁₃	—	2	1	no	—
360	C₂×D₄×C₁₃	—	2	1	no	—
361	C₂×D₄×C₁₃	—	2	1	no	—
362	C₂×D₄×C₁₃	—	2	1	no	—
363	C₂×D₄×C₁₃	—	2	1	no	—
364	C₂×D₄×C₁₃	—	2	1	no	—
365	C₂×D₄×C₁₃	—	2	2	no	—
366	C₂×D₄×C₁₃	—	2	2	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	1	no	—
372	C₂×D₄×C₁₃	—	2	1	no	—
373	C₂×D₄×C₁₃	—	4	2	no	—
374	C₂×D₄×C₁₃	—	4	2	no	—
375	C₂×D₄×C₁₃	—	8	2	no	—
376	C₂×D₄×C₁₃	—	8	2	no	—
377	C₂×D₄×C₁₃	C₂⁴	1	2	yes	—
378	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
379	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
380	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
381	C₂²×C₄×C₁₃	—	2	1	no	—
382	C₂²×C₄×C₁₃	—	2	1	no	—
383	C₂²×C₄×C₁₃	—	2	1	no	—
384	C₂²×C₄×C₁₃	—	2	1	no	—
385	C₂²×C₄×C₁₃	—	2	1	no	—
386	C₂²×C₄×C₁₃	—	2	1	no	—
387	C₂²×C₄×C₁₃	—	2	1	no	—
388	C₂²×C₄×C₁₃	—	2	1	no	—
389	C₂²×C₄×C₁₃	—	2	1	no	—
390	C₂²×C₄×C₁₃	—	2	1	no	—
391	C₂²×C₄×C₁₃	—	2	1	no	—
392	C₂²×C₄×C₁₃	—	2	2	no	—
393	C₂²×C₄×C₁₃	—	2	2	no	—
394	C₂²×C₄×C₁₃	—	4	2	no	—
395	C₂²×C₄×C₁₃	—	8	2	no	—
396	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
397	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
398	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
399	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
400	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
401	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
402	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
403	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
404	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
405	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
406	C₁₃×Q₁₆	—	4	2	no	—
407	C₁₃×SD₁₆	—	4	2	no	—
408	C₁₃×SD₁₆	—	4	2	no	—
409	C₁₃×SD₁₆	—	4	2	no	—
410	C₁₃×SD₁₆	—	4	2	no	—
411	C₁₃×D₈	—	4	2	no	—
412	C₁₃×D₈	—	4	2	no	—
413	C₁₃×D₈	—	4	2	no	—
414	C₁₃×M₁₆	—	4	2	no	—
415	C₂×C₈×C₁₃	—	4	2	no	—
416	C₂×C₈×C₁₃	C₂⁴	1	2	yes	—
417	C₂×C₈×C₁₃	C₂⁴	1	2	yes	—
418	C₂×C₈×C₁₃	C₂⁴	1	2	yes	—
419	C₂×C₈×C₁₃	C₂⁴	1	2	yes	—
420	C₁₃×C₄⋊C₄	—	2	1	no	—
421	C₁₃×C₄⋊C₄	—	2	1	no	—
422	C₁₃×C₄⋊C₄	—	2	1	no	—
423	C₁₃×C₄⋊C₄	—	2	2	no	—
424	C₁₃×C₄⋊C₄	—	2	2	no	—
425	C₁₃×C₄⋊C₄	—	2	2	no	—
426	C₁₃×C₄⋊C₄	—	2	2	no	—
427	C₁₃×C₄⋊C₄	—	2	2	no	—
428	C₁₃×C₄⋊C₄	—	2	2	no	—
429	C₁₃×C₄⋊C₄	—	2	1	no	—
430	C₁₃×C₄⋊C₄	—	2	1	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	C₂×D₄	1	1	yes	characteristic
440	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
441	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
442	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
443	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
444	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
445	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
446	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
447	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
448	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
449	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
450	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
451	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
452	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
453	C₁₃×C₂²⋊C₄	—	2	1	no	—
454	C₁₃×C₂²⋊C₄	—	2	2	no	—
455	C₁₃×C₂²⋊C₄	—	2	2	no	—
456	C₁₃×C₂²⋊C₄	—	2	1	no	—
457	C₁₃×C₂²⋊C₄	—	2	1	no	—
458	C₁₃×C₂²⋊C₄	—	2	1	no	—
459	C₁₃×C₂²⋊C₄	—	2	1	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	2	no	—
465	C₁₃×C₂²⋊C₄	—	2	2	no	—
466	C₁₃×C₂²⋊C₄	—	2	2	no	—
467	C₁₃×C₂²⋊C₄	—	2	2	no	—
468	C₁₃×C₂²⋊C₄	—	2	1	no	—
469	C₁₃×C₂²⋊C₄	—	2	1	no	—
470	C₁₃×C₂²⋊C₄	—	2	2	no	—
471	C₁₃×C₂²⋊C₄	—	2	2	no	—
472	C₁₃×C₂²⋊C₄	—	2	2	no	—
473	C₁₃×C₂²⋊C₄	—	2	2	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	1	no	—
480	C₁₃×C₂²⋊C₄	—	2	1	no	—
481	C₁₃×C₂²⋊C₄	—	2	1	no	—
482	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
483	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
484	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
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	C₄²×C₁₃	—	2	2	no	—
491	C₄²×C₁₃	—	2	2	no	—
492	C₄²×C₁₃	—	2	1	no	—
493	C₄²×C₁₃	—	2	1	no	—
494	C₄²×C₁₃	—	2	1	no	—
495	C₄²×C₁₃	C₂×D₄	1	1	yes	characteristic
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	C₂⁴	1	1	yes	characteristic
500	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
501	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
502	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
503	#3494	C₂×C₁₃	1	1	yes	characteristic, complemented
504	C₂×#542	C₂×C₁₃	1	1	yes	characteristic, complemented
505	#3262	C₂×C₁₃	1	2	yes	complemented
506	#3257	C₂×C₁₃	1	2	yes	complemented
507	#3243	C₂×C₁₃	1	2	yes	complemented
508	#3238	C₂×C₁₃	1	1	yes	characteristic, complemented
509	#3226	C₂×C₁₃	1	1	yes	characteristic, complemented
510	#3224	C₂×C₁₃	1	2	yes	complemented
511	#3213	C₂×C₁₃	1	1	yes	characteristic, complemented
512	#3211	C₂×C₁₃	1	1	yes	characteristic, complemented
513	#3194	C₂×C₁₃	1	1	yes	characteristic, complemented
514	#3193	C₂×C₁₃	1	1	yes	characteristic, complemented
515	#3190	C₂×C₁₃	1	1	yes	characteristic, complemented
516	#3186	C₂×C₁₃	1	1	yes	characteristic, complemented
517	#3179	C₂×C₁₃	1	2	yes	complemented
518	#3175	C₂×C₁₃	1	2	yes	complemented
519	#3124	C₂×C₁₃	1	2	yes	complemented
520	#3118	C₂×C₁₃	1	2	yes	complemented
521	#3114	C₂×C₁₃	1	1	yes	characteristic, complemented
522	#3112	C₂×C₁₃	1	1	yes	characteristic, complemented
523	#3108	C₂×C₁₃	1	1	yes	characteristic, complemented
524	#3100	C₂×C₁₃	1	1	yes	characteristic, complemented
525	#2924	C₂×C₁₃	1	1	yes	characteristic, complemented
526	C₂³×C₁₃	—	2	2	no	—
527	C₂³×C₁₃	—	2	2	no	—
528	C₂³×C₁₃	—	2	1	no	—
529	C₂³×C₁₃	—	2	1	no	—
530	C₂³×C₁₃	—	2	1	no	—
531	C₂³×C₁₃	—	4	1	no	—
532	C₂³×C₁₃	—	4	1	no	—
533	C₂³×C₁₃	—	4	2	no	—
534	C₂³×C₁₃	—	4	2	no	—
535	C₂³×C₁₃	—	4	2	no	—
536	C₂³×C₁₃	—	4	2	no	—
537	C₂³×C₁₃	—	8	1	no	—
538	C₂³×C₁₃	—	8	1	no	—
539	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
540	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
541	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
542	Q₈×C₁₃	—	2	2	no	—
543	Q₈×C₁₃	—	2	2	no	—
544	Q₈×C₁₃	—	2	2	no	—
545	Q₈×C₁₃	—	4	2	no	—
546	Q₈×C₁₃	—	8	2	no	—
547	Q₈×C₁₃	—	8	2	no	—
548	Q₈×C₁₃	—	8	1	no	—
549	Q₈×C₁₃	—	8	1	no	—
550	D₄×C₁₃	—	2	2	no	—
551	D₄×C₁₃	—	2	2	no	—
552	D₄×C₁₃	—	2	2	no	—
553	D₄×C₁₃	—	2	2	no	—
554	D₄×C₁₃	—	2	2	no	—
555	D₄×C₁₃	—	4	2	no	—
556	D₄×C₁₃	—	4	2	no	—
557	D₄×C₁₃	—	4	2	no	—
558	D₄×C₁₃	—	4	2	no	—
559	D₄×C₁₃	—	4	2	no	—
560	D₄×C₁₃	—	4	2	no	—
561	D₄×C₁₃	—	8	1	no	—
562	D₄×C₁₃	—	8	1	no	—
563	D₄×C₁₃	—	8	1	no	—
564	D₄×C₁₃	—	8	1	no	—
565	D₄×C₁₃	—	8	1	no	—
566	D₄×C₁₃	—	8	2	no	—
567	D₄×C₁₃	—	8	2	no	—
568	D₄×C₁₃	—	8	1	no	—
569	D₄×C₁₃	—	8	1	no	—
570	C₂×C₄×C₁₃	—	2	2	no	—
571	C₂×C₄×C₁₃	—	2	2	no	—
572	C₂×C₄×C₁₃	—	2	2	no	—
573	C₂×C₄×C₁₃	—	2	2	no	—
574	C₂×C₄×C₁₃	—	2	2	no	—
575	C₂×C₄×C₁₃	—	2	1	no	—
576	C₂×C₄×C₁₃	—	2	2	no	—
577	C₂×C₄×C₁₃	—	2	2	no	—
578	C₂×C₄×C₁₃	—	2	1	no	—
579	C₂×C₄×C₁₃	—	2	1	no	—
580	C₂×C₄×C₁₃	—	2	1	no	—
581	C₂×C₄×C₁₃	—	2	1	no	—
582	C₂×C₄×C₁₃	—	2	2	no	—
583	C₂×C₄×C₁₃	—	4	1	no	—
584	C₂×C₄×C₁₃	—	4	1	no	—
585	C₂×C₄×C₁₃	—	4	1	no	—
586	C₂×C₄×C₁₃	—	4	1	no	—
587	C₂×C₄×C₁₃	—	4	1	no	—
588	C₂×C₄×C₁₃	—	4	2	no	—
589	C₂×C₄×C₁₃	—	4	2	no	—
590	C₂×C₄×C₁₃	—	4	2	no	—
591	C₂×C₄×C₁₃	—	4	2	no	—
592	C₂×C₄×C₁₃	—	8	1	no	—
593	C₂×C₄×C₁₃	—	8	1	no	—
594	C₂×C₄×C₁₃	—	8	2	no	—
595	C₂×C₄×C₁₃	—	8	2	no	—
596	C₂×C₄×C₁₃	—	8	1	no	—
597	C₂×C₄×C₁₃	—	8	1	no	—
598	C₂×C₄×C₁₃	—	8	1	no	—
599	C₂×C₄×C₁₃	—	8	1	no	—
600	C₂×C₄×C₁₃	—	8	1	no	—
601	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
602	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
603	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
604	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
605	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
606	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
607	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
608	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
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	C₂⁵	1	1	yes	characteristic
613	C₈×C₁₃	—	2	2	no	—
614	C₈×C₁₃	—	2	2	no	—
615	C₈×C₁₃	—	2	2	no	—
616	C₈×C₁₃	—	2	2	no	—
617	#555	—	2	1	no	—
618	#553	—	2	1	no	—
619	#553	—	2	1	no	—
620	#551	—	2	1	no	—
621	#551	—	2	1	no	—
622	#547	—	2	1	no	—
623	#546	—	2	1	no	—
624	#546	—	2	1	no	—
625	#544	C₂²×C₁₃	1	1	yes	characteristic, complemented
626	#542	—	2	1	no	—
627	#542	—	2	1	no	—
628	#542	—	2	1	no	—
629	#542	—	2	1	no	—
630	#542	C₂²×C₁₃	1	2	yes	—
631	#542	C₂²×C₁₃	1	2	yes	—
632	#542	C₂²×C₁₃	1	1	yes	characteristic, complemented
633	#542	C₂²×C₁₃	1	2	yes	complemented
634	#542	C₂²×C₁₃	1	2	yes	complemented
635	#542	C₂²×C₁₃	1	1	yes	characteristic, complemented
636	#540	C₂²×C₁₃	1	1	yes	characteristic, complemented
637	#540	C₂²×C₁₃	1	1	yes	characteristic, complemented
638	#535	C₂²×C₁₃	1	1	yes	characteristic, complemented
639	#532	C₂²×C₁₃	1	1	yes	characteristic
640	#532	C₂²×C₁₃	1	1	yes	characteristic
641	C₂×C₄⋊Q₈	C₂²×C₁₃	1	1	yes	characteristic, complemented
642	#529	C₂²×C₁₃	1	1	yes	characteristic
643	#529	C₂²×C₁₃	1	1	yes	characteristic
644	C₂×#126	—	2	1	no	—
645	C₂×#124	—	2	1	no	—
646	C₂×#124	C₂²×C₁₃	1	1	yes	characteristic, complemented
647	#525	C₂²×C₁₃	1	1	yes	characteristic
648	C₂×#123	—	2	1	no	—
649	C₂×C₂²⋊Q₈	—	2	1	no	—
650	C₂×C₂²⋊Q₈	C₂²×C₁₃	1	1	yes	characteristic
651	C₂×#121	C₂²×C₁₃	1	1	yes	characteristic
652	C₂×#121	C₂²×C₁₃	1	1	yes	characteristic
653	#520	C₂²×C₁₃	1	1	yes	characteristic, complemented
654	#518	C₂²×C₁₃	1	1	yes	characteristic, complemented
655	C₂×C₄×Q₈	C₂²×C₁₃	1	1	yes	characteristic, complemented
656	C₂×C₄×D₄	C₂²×C₁₃	1	1	yes	characteristic, complemented
657	C₂×#117	C₂²×C₁₃	1	1	yes	characteristic
658	#501	C₂²×C₁₃	1	2	yes	complemented
659	#500	C₂²×C₁₃	1	2	yes	complemented
660	#496	C₂²×C₁₃	1	2	yes	complemented
661	#495	C₂²×C₁₃	1	2	yes	complemented
662	#489	C₂²×C₁₃	1	2	yes	complemented
663	#489	C₂²×C₁₃	1	2	yes	complemented
664	#488	C₂²×C₁₃	1	2	yes	complemented
665	#486	C₂²×C₁₃	1	2	yes	complemented
666	#485	C₂²×C₁₃	1	2	yes	complemented
667	#484	C₂²×C₁₃	1	2	yes	complemented
668	#483	C₂²×C₁₃	1	1	yes	characteristic, complemented
669	#483	C₂²×C₁₃	1	1	yes	characteristic, complemented
670	#482	C₂²×C₁₃	1	2	yes	—
671	#480	C₂²×C₁₃	1	1	yes	characteristic
672	#480	C₂²×C₁₃	1	1	yes	characteristic
673	#480	C₂²×C₁₃	1	1	yes	characteristic
674	#480	C₂²×C₁₃	1	1	yes	characteristic
675	#480	C₂²×C₁₃	1	2	yes	—
676	#480	C₂²×C₁₃	1	1	yes	characteristic, complemented
677	#480	C₂²×C₁₃	1	1	yes	characteristic, complemented
678	#479	C₂²×C₁₃	1	2	yes	complemented
679	#478	C₂²×C₁₃	1	2	yes	complemented
680	#477	C₂²×C₁₃	1	2	yes	complemented
681	#477	C₂²×C₁₃	1	2	yes	complemented
682	#476	C₂²×C₁₃	1	2	yes	complemented
683	#474	C₂²×C₁₃	1	2	yes	complemented
684	#474	C₂²×C₁₃	1	2	yes	complemented
685	#474	C₂²×C₁₃	1	2	yes	complemented
686	#469	C₂²×C₁₃	1	2	yes	complemented
687	#468	C₂²×C₁₃	1	2	yes	complemented
688	#468	C₂²×C₁₃	1	2	yes	complemented
689	#468	C₂²×C₁₃	1	2	yes	complemented
690	#467	C₂²×C₁₃	1	2	yes	complemented
691	#466	C₂²×C₁₃	1	2	yes	—
692	#466	C₂²×C₁₃	1	2	yes	—
693	#465	C₂²×C₁₃	1	2	yes	complemented
694	#464	C₂²×C₁₃	1	2	yes	complemented
695	#464	C₂²×C₁₃	1	2	yes	complemented
696	#463	C₂²×C₁₃	1	2	yes	complemented
697	#463	C₂²×C₁₃	1	2	yes	complemented
698	#463	C₂²×C₁₃	1	2	yes	complemented
699	#463	C₂²×C₁₃	1	2	yes	complemented
700	#460	C₂²×C₁₃	1	2	yes	complemented
701	#459	C₂²×C₁₃	1	2	yes	complemented
702	#452	C₂²×C₁₃	1	2	yes	complemented
703	#451	C₂²×C₁₃	1	1	yes	characteristic, complemented
704	#450	C₂²×C₁₃	1	1	yes	characteristic, complemented
705	#450	C₂²×C₁₃	1	2	yes	complemented
706	#449	C₂²×C₁₃	1	2	yes	—
707	#448	C₂²×C₁₃	1	1	yes	characteristic
708	#448	C₂²×C₁₃	1	1	yes	characteristic
709	#448	C₂²×C₁₃	1	1	yes	characteristic, complemented
710	#447	C₂²×C₁₃	1	1	yes	characteristic
711	#447	C₂²×C₁₃	1	1	yes	characteristic
712	#447	C₂²×C₁₃	1	2	yes	—
713	#447	C₂²×C₁₃	1	1	yes	characteristic, complemented
714	#442	C₂²×C₁₃	1	2	yes	complemented
715	#440	C₂²×C₁₃	1	2	yes	complemented
716	#440	C₂²×C₁₃	1	2	yes	complemented
717	#440	C₂²×C₁₃	1	2	yes	complemented
718	C₄×Q₁₆	C₂²×C₁₃	1	2	yes	complemented
719	C₄×SD₁₆	C₂²×C₁₃	1	2	yes	complemented
720	C₄×D₈	C₂²×C₁₃	1	2	yes	complemented
721	C₄×D₈	C₂²×C₁₃	1	2	yes	complemented
722	#433	C₂²×C₁₃	1	2	yes	complemented
723	#433	C₂²×C₁₃	1	2	yes	complemented
724	#432	C₂²×C₁₃	1	1	yes	characteristic, complemented
725	#432	C₂²×C₁₃	1	1	yes	characteristic, complemented
726	#431	C₂²×C₁₃	1	1	yes	characteristic, complemented
727	#431	C₂²×C₁₃	1	1	yes	characteristic, complemented
728	#424	C₂²×C₁₃	1	2	yes	complemented
729	#407	C₂²×C₁₃	1	1	yes	characteristic
730	C₂×C₂²⋊C₈	C₂²×C₁₃	1	1	yes	characteristic
731	#405	C₂²×C₁₃	1	2	yes	complemented
732	C₂²×C₁₃	—	2	1	no	—
733	C₂²×C₁₃	—	2	1	no	—
734	C₂²×C₁₃	—	2	1	no	—
735	C₂²×C₁₃	—	2	1	no	—
736	C₂²×C₁₃	—	2	1	no	—
737	C₂²×C₁₃	—	2	1	no	—
738	C₂²×C₁₃	—	2	1	no	—
739	C₂²×C₁₃	—	2	1	no	—
740	C₂²×C₁₃	—	4	1	no	—
741	C₂²×C₁₃	—	4	1	no	—
742	C₂²×C₁₃	—	4	1	no	—
743	C₂²×C₁₃	—	4	2	no	—
744	C₂²×C₁₃	—	4	1	no	—
745	C₂²×C₁₃	—	4	2	no	—
746	C₂²×C₁₃	—	4	1	no	—
747	C₂²×C₁₃	—	4	1	no	—
748	C₂²×C₁₃	—	4	1	no	—
749	C₂²×C₁₃	—	4	2	no	—
750	C₂²×C₁₃	—	4	1	no	—
751	C₂²×C₁₃	—	4	1	no	—
752	C₂²×C₁₃	—	8	2	no	—
753	C₂²×C₁₃	—	8	4	no	—
754	C₂²×C₁₃	—	16	2	no	—
755	C₂²×C₁₃	#576	1	2	yes	—
756	C₂²×C₁₃	C₂³×D₄	1	1	yes	characteristic
757	C₄×C₁₃	—	2	1	no	—
758	C₄×C₁₃	—	2	1	no	—
759	C₄×C₁₃	—	2	1	no	—
760	C₄×C₁₃	—	2	1	no	—
761	C₄×C₁₃	—	2	1	no	—
762	C₄×C₁₃	—	2	1	no	—
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	—	4	1	no	—
769	C₄×C₁₃	—	4	1	no	—
770	C₄×C₁₃	—	4	2	no	—
771	C₄×C₁₃	—	4	2	no	—
772	C₄×C₁₃	—	4	2	no	—
773	C₄×C₁₃	—	4	1	no	—
774	C₄×C₁₃	—	4	1	no	—
775	C₄×C₁₃	—	4	1	no	—
776	C₄×C₁₃	#585	1	2	yes	—
777	C₂×#41	—	2	1	no	—
778	C₂×#41	—	2	1	no	—
779	C₂×#41	C₂³×C₁₃	1	1	yes	characteristic
780	C₂²×Q₈	—	2	1	no	—
781	C₂²×Q₈	C₂³×C₁₃	1	1	yes	characteristic
782	C₂²×D₄	—	2	1	no	—
783	C₂²×D₄	—	2	1	no	—
784	C₂²×D₄	C₂³×C₁₃	1	1	yes	characteristic
785	C₂²×D₄	C₂³×C₁₃	1	1	yes	characteristic
786	C₂³×C₄	—	2	1	no	—
787	C₂³×C₄	C₂³×C₁₃	1	1	yes	characteristic
788	C₂×Q₁₆	C₂³×C₁₃	1	2	yes	—
789	C₂×SD₁₆	C₂³×C₁₃	1	2	yes	—
790	C₂×SD₁₆	C₂³×C₁₃	1	2	yes	—
791	C₂×SD₁₆	C₂³×C₁₃	1	2	yes	—
792	C₂×SD₁₆	C₂³×C₁₃	1	2	yes	—
793	C₂×D₈	C₂³×C₁₃	1	2	yes	—
794	C₂×D₈	C₂³×C₁₃	1	2	yes	—
795	C₂×D₈	C₂³×C₁₃	1	2	yes	—
796	C₂×M₁₆	C₂³×C₁₃	1	2	yes	—
797	C₂²×C₈	C₂³×C₁₃	1	2	yes	—
798	C₄⋊Q₈	—	2	1	no	—
799	C₄⋊Q₈	—	2	1	no	—
800	C₄⋊Q₈	—	2	1	no	—
801	C₄⋊Q₈	C₂³×C₁₃	1	2	yes	—
802	C₄⋊Q₈	C₂³×C₁₃	1	2	yes	—
803	C₄⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
804	C₄⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
805	#127	C₂³×C₁₃	1	1	yes	characteristic
806	#127	C₂³×C₁₃	1	1	yes	characteristic
807	#126	—	2	2	no	—
808	#126	—	2	2	no	—
809	#126	—	2	2	no	—
810	#126	—	2	2	no	—
811	#126	—	2	1	no	—
812	#126	—	2	1	no	—
813	#126	—	2	1	no	—
814	#126	—	2	1	no	—
815	#125	—	2	1	no	—
816	#125	C₂³×C₁₃	1	1	yes	characteristic
817	#125	C₂³×C₁₃	1	1	yes	characteristic
818	#124	—	2	2	no	—
819	#124	—	2	2	no	—
820	#124	—	2	2	no	—
821	#124	—	2	2	no	—
822	#124	—	2	1	no	—
823	#124	—	2	1	no	—
824	#124	—	2	1	no	—
825	#124	—	2	1	no	—
826	#124	—	2	1	no	—
827	#124	—	2	1	no	—
828	#124	C₂³×C₁₃	1	2	yes	—
829	#124	C₂³×C₁₃	1	2	yes	—
830	#124	C₂³×C₁₃	1	1	yes	characteristic
831	#124	C₂³×C₁₃	1	1	yes	characteristic
832	#123	—	2	1	no	—
833	#123	—	2	1	no	—
834	#123	—	2	1	no	—
835	#123	—	2	1	no	—
836	#123	—	2	1	no	—
837	#123	—	2	1	no	—
838	#123	—	2	1	no	—
839	#123	—	2	2	no	—
840	#123	—	2	2	no	—
841	#123	—	2	2	no	—
842	#123	—	2	2	no	—
843	#123	—	2	1	no	—
844	#123	—	2	1	no	—
845	C₂²⋊Q₈	—	2	1	no	—
846	C₂²⋊Q₈	—	2	1	no	—
847	C₂²⋊Q₈	—	2	2	no	—
848	C₂²⋊Q₈	—	2	2	no	—
849	C₂²⋊Q₈	—	2	2	no	—
850	C₂²⋊Q₈	—	2	2	no	—
851	C₂²⋊Q₈	—	2	1	no	—
852	C₂²⋊Q₈	—	2	1	no	—
853	C₂²⋊Q₈	—	2	1	no	—
854	C₂²⋊Q₈	—	2	1	no	—
855	C₂²⋊Q₈	C₂³×C₁₃	1	2	yes	—
856	C₂²⋊Q₈	C₂³×C₁₃	1	2	yes	—
857	C₂²⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
858	C₂²⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
859	#121	—	2	1	no	—
860	#121	—	2	1	no	—
861	#121	—	2	1	no	—
862	#121	—	2	1	no	—
863	#121	—	2	1	no	—
864	#121	—	2	1	no	—
865	#121	—	2	1	no	—
866	#121	—	2	1	no	—
867	#121	—	2	1	no	—
868	#121	—	2	1	no	—
869	#121	—	2	1	no	—
870	#121	—	2	1	no	—
871	#121	C₂³×C₁₃	1	1	yes	characteristic
872	#121	C₂³×C₁₃	1	1	yes	characteristic
873	#121	C₂³×C₁₃	1	1	yes	characteristic
874	#121	C₂³×C₁₃	1	1	yes	characteristic
875	#121	C₂³×C₁₃	1	2	yes	—
876	#121	C₂³×C₁₃	1	2	yes	—
877	#121	C₂³×C₁₃	1	1	yes	characteristic
878	#121	C₂³×C₁₃	1	1	yes	characteristic
879	#120	—	2	1	no	—
880	#120	—	2	1	no	—
881	#120	—	2	1	no	—
882	C₄×Q₈	—	2	1	no	—
883	C₄×Q₈	—	2	1	no	—
884	C₄×Q₈	C₂³×C₁₃	1	2	yes	—
885	C₄×Q₈	C₂³×C₁₃	1	2	yes	—
886	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
887	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
888	C₄×D₄	—	2	1	no	—
889	C₄×D₄	—	2	1	no	—
890	C₄×D₄	—	2	1	no	—
891	C₄×D₄	—	2	1	no	—
892	C₄×D₄	—	2	1	no	—
893	C₄×D₄	—	2	1	no	—
894	C₄×D₄	—	2	1	no	—
895	C₄×D₄	—	2	1	no	—
896	C₄×D₄	—	2	1	no	—
897	C₄×D₄	—	2	1	no	—
898	C₄×D₄	—	2	1	no	—
899	C₄×D₄	—	2	1	no	—
900	C₄×D₄	C₂³×C₁₃	1	2	yes	—
901	C₄×D₄	C₂³×C₁₃	1	2	yes	—
902	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
903	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
904	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
905	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
906	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
907	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
908	#117	—	2	1	no	—
909	#117	—	2	1	no	—
910	#117	—	2	1	no	—
911	#117	D₄×C₁₃	1	1	yes	characteristic
912	#117	D₄×C₁₃	1	1	yes	characteristic
913	#117	D₄×C₁₃	1	1	yes	characteristic
914	#117	D₄×C₁₃	1	1	yes	characteristic
915	#117	C₂³×C₁₃	1	1	yes	characteristic
916	#117	C₂³×C₁₃	1	1	yes	characteristic
917	#117	C₂³×C₁₃	1	1	yes	characteristic
918	#117	C₂³×C₁₃	1	1	yes	characteristic
919	#117	C₂³×C₁₃	1	1	yes	characteristic
920	C₂×C₄⋊C₄	—	2	1	no	—
921	C₂×C₄⋊C₄	—	2	1	no	—
922	C₂×C₄⋊C₄	—	2	1	no	—
923	C₂×C₄⋊C₄	—	2	1	no	—
924	C₂×C₄⋊C₄	D₄×C₁₃	1	1	yes	characteristic
925	C₂×C₄⋊C₄	D₄×C₁₃	1	1	yes	characteristic
926	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
927	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
928	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
929	C₂×C₂²⋊C₄	—	2	1	no	—
930	C₂×C₂²⋊C₄	—	2	1	no	—
931	C₂×C₂²⋊C₄	—	2	1	no	—
932	C₂×C₂²⋊C₄	—	2	1	no	—
933	C₂×C₂²⋊C₄	—	2	1	no	—
934	C₂×C₂²⋊C₄	—	2	1	no	—
935	C₂×C₂²⋊C₄	—	2	1	no	—
936	C₂×C₂²⋊C₄	—	2	1	no	—
937	C₂×C₂²⋊C₄	D₄×C₁₃	1	1	yes	characteristic
938	C₂×C₂²⋊C₄	D₄×C₁₃	1	1	yes	characteristic
939	C₂×C₄²	—	2	1	no	—
940	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
941	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
942	#107	C₂³×C₁₃	1	2	yes	—
943	#107	C₂³×C₁₃	1	2	yes	—
944	#107	C₂³×C₁₃	1	2	yes	—
945	#107	C₂³×C₁₃	1	2	yes	—
946	#107	C₂³×C₁₃	1	2	yes	—
947	#107	C₂³×C₁₃	1	2	yes	—
948	#106	C₂³×C₁₃	1	2	yes	—
949	#106	C₂³×C₁₃	1	2	yes	—
950	C₄⋊C₈	C₂³×C₁₃	1	2	yes	—
951	C₄⋊C₈	C₂³×C₁₃	1	2	yes	—
952	C₄⋊C₈	C₂³×C₁₃	1	2	yes	—
953	C₄⋊C₈	C₂³×C₁₃	1	2	yes	—
954	#103	C₂³×C₁₃	1	2	yes	—
955	#103	C₂³×C₁₃	1	2	yes	—
956	#103	C₂³×C₁₃	1	2	yes	—
957	#103	C₂³×C₁₃	1	2	yes	—
958	#103	C₂³×C₁₃	1	2	yes	—
959	#103	C₂³×C₁₃	1	2	yes	—
960	#102	C₂³×C₁₃	1	2	yes	—
961	#102	C₂³×C₁₃	1	2	yes	—
962	#102	C₂³×C₁₃	1	2	yes	—
963	#102	C₂³×C₁₃	1	2	yes	—
964	#102	C₂³×C₁₃	1	2	yes	—
965	#102	C₂³×C₁₃	1	2	yes	—
966	#102	C₂³×C₁₃	1	2	yes	—
967	#102	C₂³×C₁₃	1	2	yes	—
968	#102	C₂³×C₁₃	1	2	yes	—
969	#102	C₂³×C₁₃	1	2	yes	—
970	C₂²⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
971	C₂²⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
972	C₂²⋊C₈	C₂³×C₁₃	1	2	yes	—
973	C₂²⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
974	C₂²⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
975	C₂²⋊C₈	C₂³×C₁₃	1	2	yes	—
976	#97	C₂³×C₁₃	1	2	yes	—
977	#97	C₂³×C₁₃	1	2	yes	—
978	C₄×C₈	C₂³×C₁₃	1	2	yes	—
979	C₄×C₈	C₂³×C₁₃	1	2	yes	—
980	C₂×C₁₃	—	2	2	no	—
981	C₂×C₁₃	—	4	1	no	—
982	C₂×C₁₃	—	4	1	no	—
983	C₂×C₁₃	—	8	1	no	—
984	C₂×C₁₃	—	8	2	no	—
985	C₂×C₁₃	—	8	1	no	—
986	C₂×C₁₃	—	8	1	no	—
987	C₂×C₁₃	#3449	1	1	yes	characteristic
988	C₂×C₁₃	C₂×#576	1	1	yes	characteristic
989	C₂×C₁₃	#3586	1	1	yes	characteristic
990	C₂⁴	—	2	1	no	—
991	C₂⁴	—	2	1	no	—
992	C₂⁴	C₂×D₄×C₁₃	1	1	yes	characteristic
993	#41	—	4	2	no	—
994	#41	—	8	2	no	—
995	#41	—	8	2	no	—
996	C₂×Q₈	—	2	1	no	—
997	C₂×Q₈	—	2	2	no	—
998	C₂×Q₈	—	2	2	no	—
999	C₂×Q₈	—	2	1	no	—
1000	C₂×Q₈	—	2	1	no	—
1001	C₂×Q₈	—	4	2	no	—
1002	C₂×Q₈	—	8	2	no	—
1003	C₂×Q₈	C₂⁴×C₁₃	1	2	yes	—
1004	C₂×Q₈	C₂⁴×C₁₃	1	1	yes	characteristic
1005	C₂×D₄	—	2	1	no	—
1006	C₂×D₄	—	2	1	no	—
1007	C₂×D₄	—	2	1	no	—
1008	C₂×D₄	—	2	1	no	—
1009	C₂×D₄	—	2	1	no	—
1010	C₂×D₄	—	2	1	no	—
1011	C₂×D₄	—	2	1	no	—
1012	C₂×D₄	—	2	2	no	—
1013	C₂×D₄	—	2	2	no	—
1014	C₂×D₄	—	2	1	no	—
1015	C₂×D₄	—	2	1	no	—
1016	C₂×D₄	—	2	1	no	—
1017	C₂×D₄	—	2	1	no	—
1018	C₂×D₄	—	2	1	no	—
1019	C₂×D₄	—	2	1	no	—
1020	C₂×D₄	—	4	2	no	—
1021	C₂×D₄	—	4	2	no	—
1022	C₂×D₄	—	8	2	no	—
1023	C₂×D₄	—	8	2	no	—
1024	C₂×D₄	C₂⁴×C₁₃	1	2	yes	—
1025	C₂×D₄	C₂⁴×C₁₃	1	1	yes	characteristic
1026	C₂×D₄	C₂⁴×C₁₃	1	1	yes	characteristic
1027	C₂×D₄	C₂⁴×C₁₃	1	1	yes	characteristic
1028	C₂²×C₄	—	2	1	no	—
1029	C₂²×C₄	—	2	1	no	—
1030	C₂²×C₄	—	2	1	no	—
1031	C₂²×C₄	—	2	1	no	—
1032	C₂²×C₄	—	2	1	no	—
1033	C₂²×C₄	—	2	1	no	—
1034	C₂²×C₄	—	2	1	no	—
1035	C₂²×C₄	—	2	1	no	—
1036	C₂²×C₄	—	2	1	no	—
1037	C₂²×C₄	—	2	1	no	—
1038	C₂²×C₄	—	2	1	no	—
1039	C₂²×C₄	—	2	2	no	—
1040	C₂²×C₄	—	2	2	no	—
1041	C₂²×C₄	—	4	2	no	—
1042	C₂²×C₄	—	8	2	no	—
1043	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1044	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1045	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1046	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1047	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1048	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1049	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1050	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1051	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1052	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1053	Q₁₆	—	4	2	no	—
1054	SD₁₆	—	4	2	no	—
1055	SD₁₆	—	4	2	no	—
1056	SD₁₆	—	4	2	no	—
1057	SD₁₆	—	4	2	no	—
1058	D₈	—	4	2	no	—
1059	D₈	—	4	2	no	—
1060	D₈	—	4	2	no	—
1061	M₁₆	—	4	2	no	—
1062	C₂×C₈	—	4	2	no	—
1063	C₂×C₈	C₂⁴×C₁₃	1	2	yes	—
1064	C₂×C₈	C₂⁴×C₁₃	1	2	yes	—
1065	C₂×C₈	C₂⁴×C₁₃	1	2	yes	—
1066	C₂×C₈	C₂⁴×C₁₃	1	2	yes	—
1067	C₄⋊C₄	—	2	1	no	—
1068	C₄⋊C₄	—	2	1	no	—
1069	C₄⋊C₄	—	2	1	no	—
1070	C₄⋊C₄	—	2	2	no	—
1071	C₄⋊C₄	—	2	2	no	—
1072	C₄⋊C₄	—	2	2	no	—
1073	C₄⋊C₄	—	2	2	no	—
1074	C₄⋊C₄	—	2	2	no	—
1075	C₄⋊C₄	—	2	2	no	—
1076	C₄⋊C₄	—	2	1	no	—
1077	C₄⋊C₄	—	2	1	no	—
1078	C₄⋊C₄	—	2	1	no	—
1079	C₄⋊C₄	—	2	1	no	—
1080	C₄⋊C₄	—	2	1	no	—
1081	C₄⋊C₄	—	2	1	no	—
1082	C₄⋊C₄	—	2	1	no	—
1083	C₄⋊C₄	—	2	1	no	—
1084	C₄⋊C₄	—	2	1	no	—
1085	C₄⋊C₄	—	2	1	no	—
1086	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1087	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1088	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1089	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1090	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1091	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1092	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1093	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1094	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
1095	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
1096	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1097	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1098	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1099	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1100	C₂²⋊C₄	—	2	1	no	—
1101	C₂²⋊C₄	—	2	2	no	—
1102	C₂²⋊C₄	—	2	2	no	—
1103	C₂²⋊C₄	—	2	1	no	—
1104	C₂²⋊C₄	—	2	1	no	—
1105	C₂²⋊C₄	—	2	1	no	—
1106	C₂²⋊C₄	—	2	1	no	—
1107	C₂²⋊C₄	—	2	1	no	—
1108	C₂²⋊C₄	—	2	1	no	—
1109	C₂²⋊C₄	—	2	1	no	—
1110	C₂²⋊C₄	—	2	1	no	—
1111	C₂²⋊C₄	—	2	2	no	—
1112	C₂²⋊C₄	—	2	2	no	—
1113	C₂²⋊C₄	—	2	2	no	—
1114	C₂²⋊C₄	—	2	2	no	—
1115	C₂²⋊C₄	—	2	1	no	—
1116	C₂²⋊C₄	—	2	1	no	—
1117	C₂²⋊C₄	—	2	2	no	—
1118	C₂²⋊C₄	—	2	2	no	—
1119	C₂²⋊C₄	—	2	2	no	—
1120	C₂²⋊C₄	—	2	2	no	—
1121	C₂²⋊C₄	—	2	1	no	—
1122	C₂²⋊C₄	—	2	1	no	—
1123	C₂²⋊C₄	—	2	1	no	—
1124	C₂²⋊C₄	—	2	1	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	C₂×D₄×C₁₃	1	1	yes	characteristic
1130	C₂²⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1131	C₂²⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1132	C₂²⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1133	C₂²⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1134	C₂²⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1135	C₂²⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1136	C₂²⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1137	C₄²	—	2	2	no	—
1138	C₄²	—	2	2	no	—
1139	C₄²	—	2	1	no	—
1140	C₄²	—	2	1	no	—
1141	C₄²	—	2	1	no	—
1142	C₄²	C₂×D₄×C₁₃	1	1	yes	characteristic
1143	C₄²	C₂×D₄×C₁₃	1	1	yes	characteristic
1144	C₄²	C₂×D₄×C₁₃	1	1	yes	characteristic
1145	C₄²	C₂×D₄×C₁₃	1	1	yes	characteristic
1146	C₄²	C₂⁴×C₁₃	1	1	yes	characteristic
1147	C₄²	C₂⁴×C₁₃	1	1	yes	characteristic
1148	C₄²	C₂⁴×C₁₃	1	1	yes	characteristic
1149	C₄²	C₂⁴×C₁₃	1	1	yes	characteristic
1150	C₁₃	#60976	1	1	yes	characteristic, direct product factor, Sylow
1151	C₂³	—	2	2	no	—
1152	C₂³	—	2	2	no	—
1153	C₂³	—	2	1	no	—
1154	C₂³	—	2	1	no	—
1155	C₂³	—	2	1	no	—
1156	C₂³	—	4	1	no	—
1157	C₂³	—	4	1	no	—
1158	C₂³	—	4	2	no	—
1159	C₂³	—	4	2	no	—
1160	C₂³	—	4	2	no	—
1161	C₂³	—	4	2	no	—
1162	C₂³	—	8	1	no	—
1163	C₂³	—	8	1	no	—
1164	C₂³	C₂²×D₄×C₁₃	1	1	yes	characteristic
1165	C₂³	C₂²×D₄×C₁₃	1	1	yes	characteristic
1166	C₂³	C₂²×D₄×C₁₃	1	1	yes	characteristic
1167	Q₈	—	2	2	no	—
1168	Q₈	—	2	2	no	—
1169	Q₈	—	2	2	no	—
1170	Q₈	—	4	2	no	—
1171	Q₈	—	8	2	no	—
1172	Q₈	—	8	2	no	—
1173	Q₈	—	8	1	no	—
1174	Q₈	—	8	1	no	—
1175	D₄	—	2	2	no	—
1176	D₄	—	2	2	no	—
1177	D₄	—	2	2	no	—
1178	D₄	—	2	2	no	—
1179	D₄	—	2	2	no	—
1180	D₄	—	4	2	no	—
1181	D₄	—	4	2	no	—
1182	D₄	—	4	2	no	—
1183	D₄	—	4	2	no	—
1184	D₄	—	4	2	no	—
1185	D₄	—	4	2	no	—
1186	D₄	—	8	1	no	—
1187	D₄	—	8	1	no	—
1188	D₄	—	8	1	no	—
1189	D₄	—	8	1	no	—
1190	D₄	—	8	2	no	—
1191	D₄	—	8	2	no	—
1192	D₄	—	8	1	no	—
1193	D₄	—	8	1	no	—
1194	D₄	—	8	1	no	—
1195	C₂×C₄	—	2	2	no	—
1196	C₂×C₄	—	2	2	no	—
1197	C₂×C₄	—	2	2	no	—
1198	C₂×C₄	—	2	2	no	—
1199	C₂×C₄	—	2	2	no	—
1200	C₂×C₄	—	2	1	no	—
1201	C₂×C₄	—	2	2	no	—
1202	C₂×C₄	—	2	2	no	—
1203	C₂×C₄	—	2	1	no	—
1204	C₂×C₄	—	2	1	no	—
1205	C₂×C₄	—	2	1	no	—
1206	C₂×C₄	—	2	1	no	—
1207	C₂×C₄	—	2	2	no	—
1208	C₂×C₄	—	4	1	no	—
1209	C₂×C₄	—	4	1	no	—
1210	C₂×C₄	—	4	1	no	—
1211	C₂×C₄	—	4	1	no	—
1212	C₂×C₄	—	4	1	no	—
1213	C₂×C₄	—	4	2	no	—
1214	C₂×C₄	—	4	2	no	—
1215	C₂×C₄	—	4	2	no	—
1216	C₂×C₄	—	4	2	no	—
1217	C₂×C₄	—	8	2	no	—
1218	C₂×C₄	—	8	2	no	—
1219	C₂×C₄	—	8	1	no	—
1220	C₂×C₄	—	8	1	no	—
1221	C₂×C₄	—	8	1	no	—
1222	C₂×C₄	—	8	1	no	—
1223	C₂×C₄	—	8	1	no	—
1224	C₂×C₄	—	8	1	no	—
1225	C₂×C₄	—	8	1	no	—
1226	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1227	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1228	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1229	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1230	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1231	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1232	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1233	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1234	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1235	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1236	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1237	C₂×C₄	C₂⁵×C₁₃	1	1	yes	characteristic
1238	C₈	—	2	2	no	—
1239	C₈	—	2	2	no	—
1240	C₈	—	2	2	no	—
1241	C₈	—	2	2	no	—
1242	C₂²	—	2	1	no	—
1243	C₂²	—	2	1	no	—
1244	C₂²	—	2	1	no	—
1245	C₂²	—	2	1	no	—
1246	C₂²	—	2	1	no	—
1247	C₂²	—	2	1	no	—
1248	C₂²	—	2	1	no	—
1249	C₂²	—	2	1	no	—
1250	C₂²	—	4	1	no	—
1251	C₂²	—	4	2	no	—
1252	C₂²	—	4	1	no	—
1253	C₂²	—	4	1	no	—
1254	C₂²	—	4	1	no	—
1255	C₂²	—	4	1	no	—
1256	C₂²	—	4	1	no	—
1257	C₂²	—	4	2	no	—
1258	C₂²	—	4	1	no	—
1259	C₂²	—	4	2	no	—
1260	C₂²	—	4	1	no	—
1261	C₂²	—	4	1	no	—
1262	C₂²	—	8	2	no	—
1263	C₂²	—	8	4	no	—
1264	C₂²	—	16	2	no	—
1265	C₂²	C₁₃×#576	1	2	yes	—
1266	C₂²	C₂³×D₄×C₁₃	1	1	yes	characteristic
1267	C₄	—	2	1	no	—
1268	C₄	—	2	1	no	—
1269	C₄	—	2	1	no	—
1270	C₄	—	2	1	no	—
1271	C₄	—	2	1	no	—
1272	C₄	—	2	1	no	—
1273	C₄	—	2	1	no	—
1274	C₄	—	2	1	no	—
1275	C₄	—	2	1	no	—
1276	C₄	—	2	1	no	—
1277	C₄	—	2	1	no	—
1278	C₄	—	4	2	no	—
1279	C₄	—	4	2	no	—
1280	C₄	—	4	1	no	—
1281	C₄	—	4	1	no	—
1282	C₄	—	4	1	no	—
1283	C₄	—	4	1	no	—
1284	C₄	—	4	1	no	—
1285	C₄	—	4	2	no	—
1286	C₄	C₁₃×#585	1	2	yes	—
1287	C₂	—	2	2	no	—
1288	C₂	—	4	1	no	—
1289	C₂	—	4	1	no	—
1290	C₂	—	8	2	no	—
1291	C₂	—	8	1	no	—
1292	C₂	—	8	1	no	—
1293	C₂	—	8	1	no	—
1294	C₂	C₁₃×#3449	1	1	yes	characteristic
1295	C₂	C₂×C₁₃×#576	1	1	yes	characteristic
1296	C₂	C₁₃×#3586	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×C₁₃×#117 ◁ G

Complements

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

N	H ≅ G/N	type
1. C₁₃×#3494	C₂	semidirect
2. C₂×C₁₃×#542	C₂	semidirect
3. C₁₃×#3262	C₂	semidirect
4. C₁₃×#3257	C₂	semidirect
5. C₁₃×#3243	C₂	semidirect
6. C₁₃×#3238	C₂	semidirect
7. C₁₃×#3226	C₂	semidirect
8. C₁₃×#3224	C₂	semidirect
9. C₁₃×#3213	C₂	semidirect
10. C₁₃×#3211	C₂	semidirect
11. C₁₃×#3194	C₂	semidirect
12. C₁₃×#3193	C₂	semidirect
13. C₁₃×#3190	C₂	semidirect
14. C₁₃×#3186	C₂	semidirect
15. C₁₃×#3179	C₂	semidirect
16. C₁₃×#3175	C₂	semidirect
17. C₁₃×#3124	C₂	semidirect
18. C₁₃×#3118	C₂	semidirect
19. C₁₃×#3114	C₂	semidirect
20. C₁₃×#3112	C₂	semidirect
21. C₁₃×#3108	C₂	semidirect
22. C₁₃×#3100	C₂	semidirect
23. C₁₃×#2924	C₂	semidirect
32. C₁₃×#544	C₂²	semidirect
39. C₁₃×#542	C₂²	semidirect
40. C₁₃×#542	C₂²	semidirect
41. C₁₃×#542	C₂²	semidirect
42. C₁₃×#542	C₂²	semidirect
43. C₁₃×#540	C₂²	semidirect
44. C₁₃×#540	C₂²	semidirect
45. C₁₃×#535	C₂²	semidirect
48. C₂×C₁₃×C₄⋊Q₈	C₂²	semidirect
53. C₂×C₁₃×#124	C₂²	semidirect
60. C₁₃×#520	C₂²	semidirect
61. C₁₃×#518	C₂²	semidirect
62. C₂×C₄×Q₈×C₁₃	C₂²	semidirect
63. C₂×C₄×D₄×C₁₃	C₂²	semidirect
65. C₁₃×#501	C₂²	semidirect
66. C₁₃×#500	C₂²	semidirect
67. C₁₃×#496	C₂²	semidirect
68. C₁₃×#495	C₂²	semidirect
69. C₁₃×#489	C₂²	semidirect
70. C₁₃×#489	C₂²	semidirect
71. C₁₃×#488	C₂²	semidirect
72. C₁₃×#486	C₂²	semidirect
73. C₁₃×#485	C₂²	semidirect
74. C₁₃×#484	C₂²	semidirect
75. C₁₃×#483	C₂²	semidirect
76. C₁₃×#483	C₂²	semidirect
83. C₁₃×#480	C₂²	semidirect
84. C₁₃×#480	C₂²	semidirect
85. C₁₃×#479	C₂²	semidirect
86. C₁₃×#478	C₂²	semidirect
87. C₁₃×#477	C₂²	semidirect
88. C₁₃×#477	C₂²	semidirect
89. C₁₃×#476	C₂²	semidirect
90. C₁₃×#474	C₂²	semidirect
91. C₁₃×#474	C₂²	semidirect
92. C₁₃×#474	C₂²	semidirect
93. C₁₃×#469	C₂²	semidirect
94. C₁₃×#468	C₂²	semidirect
95. C₁₃×#468	C₂²	semidirect
96. C₁₃×#468	C₂²	semidirect
97. C₁₃×#467	C₂²	semidirect
100. C₁₃×#465	C₂²	semidirect
101. C₁₃×#464	C₂²	semidirect
102. C₁₃×#464	C₂²	semidirect
103. C₁₃×#463	C₂²	semidirect
104. C₁₃×#463	C₂²	semidirect
105. C₁₃×#463	C₂²	semidirect
106. C₁₃×#463	C₂²	semidirect
107. C₁₃×#460	C₂²	semidirect
108. C₁₃×#459	C₂²	semidirect
109. C₁₃×#452	C₂²	semidirect
110. C₁₃×#451	C₂²	semidirect
111. C₁₃×#450	C₂²	semidirect
112. C₁₃×#450	C₂²	semidirect
116. C₁₃×#448	C₂²	semidirect
120. C₁₃×#447	C₂²	semidirect
121. C₁₃×#442	C₂²	semidirect
122. C₁₃×#440	C₂²	semidirect
123. C₁₃×#440	C₂²	semidirect
124. C₁₃×#440	C₂²	semidirect
125. C₄×C₁₃×Q₁₆	C₂²	semidirect
126. C₄×C₁₃×SD₁₆	C₂²	semidirect
127. C₄×C₁₃×D₈	C₂²	semidirect
128. C₄×C₁₃×D₈	C₂²	semidirect
129. C₁₃×#433	C₂²	semidirect
130. C₁₃×#433	C₂²	semidirect
131. C₁₃×#432	C₂²	semidirect
132. C₁₃×#432	C₂²	semidirect
133. C₁₃×#431	C₂²	semidirect
134. C₁₃×#431	C₂²	semidirect
135. C₁₃×#424	C₂²	semidirect
138. C₁₃×#405	C₂²	semidirect
342. #60976	C₁₃	direct (N × H)
503. #3494	C₂×C₁₃	semidirect
504. C₂×#542	C₂×C₁₃	semidirect
505. #3262	C₂×C₁₃	semidirect
506. #3257	C₂×C₁₃	semidirect
507. #3243	C₂×C₁₃	semidirect
508. #3238	C₂×C₁₃	semidirect
509. #3226	C₂×C₁₃	semidirect
510. #3224	C₂×C₁₃	semidirect
511. #3213	C₂×C₁₃	semidirect
512. #3211	C₂×C₁₃	semidirect
513. #3194	C₂×C₁₃	semidirect
514. #3193	C₂×C₁₃	semidirect
515. #3190	C₂×C₁₃	semidirect
516. #3186	C₂×C₁₃	semidirect
517. #3179	C₂×C₁₃	semidirect
518. #3175	C₂×C₁₃	semidirect
519. #3124	C₂×C₁₃	semidirect
520. #3118	C₂×C₁₃	semidirect
521. #3114	C₂×C₁₃	semidirect
522. #3112	C₂×C₁₃	semidirect
523. #3108	C₂×C₁₃	semidirect
524. #3100	C₂×C₁₃	semidirect
525. #2924	C₂×C₁₃	semidirect
625. #544	C₂²×C₁₃	semidirect
632. #542	C₂²×C₁₃	semidirect
633. #542	C₂²×C₁₃	semidirect
634. #542	C₂²×C₁₃	semidirect
635. #542	C₂²×C₁₃	semidirect
636. #540	C₂²×C₁₃	semidirect
637. #540	C₂²×C₁₃	semidirect
638. #535	C₂²×C₁₃	semidirect
641. C₂×C₄⋊Q₈	C₂²×C₁₃	semidirect
646. C₂×#124	C₂²×C₁₃	semidirect
653. #520	C₂²×C₁₃	semidirect
654. #518	C₂²×C₁₃	semidirect
655. C₂×C₄×Q₈	C₂²×C₁₃	semidirect
656. C₂×C₄×D₄	C₂²×C₁₃	semidirect
658. #501	C₂²×C₁₃	semidirect
659. #500	C₂²×C₁₃	semidirect
660. #496	C₂²×C₁₃	semidirect
661. #495	C₂²×C₁₃	semidirect
662. #489	C₂²×C₁₃	semidirect
663. #489	C₂²×C₁₃	semidirect
664. #488	C₂²×C₁₃	semidirect
665. #486	C₂²×C₁₃	semidirect
666. #485	C₂²×C₁₃	semidirect
667. #484	C₂²×C₁₃	semidirect
668. #483	C₂²×C₁₃	semidirect
669. #483	C₂²×C₁₃	semidirect
676. #480	C₂²×C₁₃	semidirect
677. #480	C₂²×C₁₃	semidirect
678. #479	C₂²×C₁₃	semidirect
679. #478	C₂²×C₁₃	semidirect
680. #477	C₂²×C₁₃	semidirect
681. #477	C₂²×C₁₃	semidirect
682. #476	C₂²×C₁₃	semidirect
683. #474	C₂²×C₁₃	semidirect
684. #474	C₂²×C₁₃	semidirect
685. #474	C₂²×C₁₃	semidirect
686. #469	C₂²×C₁₃	semidirect
687. #468	C₂²×C₁₃	semidirect
688. #468	C₂²×C₁₃	semidirect
689. #468	C₂²×C₁₃	semidirect
690. #467	C₂²×C₁₃	semidirect
693. #465	C₂²×C₁₃	semidirect
694. #464	C₂²×C₁₃	semidirect
695. #464	C₂²×C₁₃	semidirect
696. #463	C₂²×C₁₃	semidirect
697. #463	C₂²×C₁₃	semidirect
698. #463	C₂²×C₁₃	semidirect
699. #463	C₂²×C₁₃	semidirect
700. #460	C₂²×C₁₃	semidirect
701. #459	C₂²×C₁₃	semidirect
702. #452	C₂²×C₁₃	semidirect
703. #451	C₂²×C₁₃	semidirect
704. #450	C₂²×C₁₃	semidirect
705. #450	C₂²×C₁₃	semidirect
709. #448	C₂²×C₁₃	semidirect
713. #447	C₂²×C₁₃	semidirect
714. #442	C₂²×C₁₃	semidirect
715. #440	C₂²×C₁₃	semidirect
716. #440	C₂²×C₁₃	semidirect
717. #440	C₂²×C₁₃	semidirect
718. C₄×Q₁₆	C₂²×C₁₃	semidirect
719. C₄×SD₁₆	C₂²×C₁₃	semidirect
720. C₄×D₈	C₂²×C₁₃	semidirect
721. C₄×D₈	C₂²×C₁₃	semidirect
722. #433	C₂²×C₁₃	semidirect
723. #433	C₂²×C₁₃	semidirect
724. #432	C₂²×C₁₃	semidirect
725. #432	C₂²×C₁₃	semidirect
726. #431	C₂²×C₁₃	semidirect
727. #431	C₂²×C₁₃	semidirect
728. #424	C₂²×C₁₃	semidirect
731. #405	C₂²×C₁₃	semidirect
1150. C₁₃	#60976	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×#3494	2
C₂×C₁₃×#542	2
C₁₃×#3262	2
C₁₃×#3257	2
C₁₃×#3243	2
C₁₃×#3238	2
C₁₃×#3226	2
C₁₃×#3224	2
C₁₃×#3213	2
C₁₃×#3211	2
C₁₃×#3194	2
C₁₃×#3193	2
C₁₃×#3190	2
C₁₃×#3186	2
C₁₃×#3179	2
C₁₃×#3175	2
C₁₃×#3124	2
C₁₃×#3118	2
C₁₃×#3114	2
C₁₃×#3112	2
C₁₃×#3108	2
C₁₃×#3100	2
C₁₃×#2924	2
#60976	13

Subgroups — C13×#60976 #15747315

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₃×#60976 #15747315